Littlewood Ultraflat

Do L¹-ultraflat Littlewood polynomials exist?

A Littlewood polynomial has every coefficient equal to +1 or −1: P(z) = ε₀ + ε₁z + ⋯ + εₙzⁿ, εⱼ ∈ {±1}. On the unit circle its L² norm is exactly √(n+1), and its L¹ norm is at most that. The flatness ratio

ρ(P) = ‖P‖L¹(𝕊¹) / √(n+1) < 1

measures how close |P| comes to constant magnitude in the mean. A sequence of Littlewood polynomials is L¹-ultraflat if its ratios tend to 1. Whether any such sequence exists is an open problem; by a theorem of Guenais, a positive answer yields an ergodic measure-preserving system with simple spectrum having a Lebesgue component, answering a form of a question of Banach.

This site tracks the largest ratio attained at each degree. Random signs give ρ ≈ 0.8862 (→ √π/2); the question is how far above that — and how close to 1 — the records climb as the degree grows.

The official score is the mean of |P| over M equispaced points of the circle, with M doubled until two successive values agree to 1e-10. Scores shown are accurate to the displayed digits unless marked otherwise.

Records by degree

ρ = 1 (ultraflat) degree 2 — ρ = 0.96856857 — David Renshaw degree 3 — ρ = 0.96277357 — David Renshaw degree 4 — ρ = 0.98124104 — Ethan Ackelsberg degree 5 — ρ = 0.95488960 — David Renshaw degree 6 — ρ = 0.97664804 — David Renshaw degree 7 — ρ = 0.96760725 — David Renshaw degree 8 — ρ = 0.95795121 — David Renshaw degree 9 — ρ = 0.96445985 — David Renshaw degree 10 — ρ = 0.98242888 — David Renshaw degree 11 — ρ = 0.98170864 — David Renshaw degree 12 — ρ = 0.99276267 — David Renshaw degree 13 — ρ = 0.97757412 — David Renshaw degree 14 — ρ = 0.98304617 — David Renshaw degree 15 — ρ = 0.97347188 — David Renshaw degree 16 — ρ = 0.97106492 — David Renshaw degree 17 — ρ = 0.97368011 — David Renshaw degree 18 — ρ = 0.97755217 — David Renshaw degree 19 — ρ = 0.98192175 — David Renshaw degree 20 — ρ = 0.98200638 — David Renshaw degree 21 — ρ = 0.97818419 — David Renshaw degree 22 — ρ = 0.97669946 — David Renshaw degree 23 — ρ = 0.98243966 — David Renshaw degree 24 — ρ = 0.98437861 — David Renshaw degree 25 — ρ = 0.98396795 — David Renshaw degree 26 — ρ = 0.98548339 — David Renshaw degree 27 — ρ = 0.98096667 — David Renshaw degree 28 — ρ = 0.98162526 — David Renshaw degree 29 — ρ = 0.98336417 — David Renshaw degree 30 — ρ = 0.98209093 — David Renshaw degree 31 — ρ = 0.98049113 — David Renshaw degree 32 — ρ = 0.98273006 — David Renshaw degree 33 — ρ = 0.98480148 — David Renshaw degree 34 — ρ = 0.98126923 — David Renshaw degree 35 — ρ = 0.98118126 — David Renshaw degree 36 — ρ = 0.98301772 — David Renshaw degree 37 — ρ = 0.98348825 — David Renshaw degree 38 — ρ = 0.98264976 — David Renshaw degree 39 — ρ = 0.97973868 — David Renshaw degree 40 — ρ = 0.98169178 — David Renshaw degree 41 — ρ = 0.98360726 — David Renshaw degree 42 — ρ = 0.98080656 — David Renshaw degree 43 — ρ = 0.98269670 — David Renshaw degree 44 — ρ = 0.98437154 — David Renshaw degree 45 — ρ = 0.98444695 — David Renshaw degree 46 — ρ = 0.98369780 — David Renshaw degree 47 — ρ = 0.98086153 — David Renshaw degree 48 — ρ = 0.98569940 — David Renshaw degree 49 — ρ = 0.98357262 — David Renshaw degree 50 — ρ = 0.98156545 — David Renshaw degree 51 — ρ = 0.98298495 — David Renshaw degree 52 — ρ = 0.98444812 — David Renshaw degree 53 — ρ = 0.98264701 — David Renshaw degree 54 — ρ = 0.98459309 — David Renshaw degree 55 — ρ = 0.98282064 — Matthew Robert Ballard degree 56 — ρ = 0.98274801 — Matthew Robert Ballard degree 57 — ρ = 0.98304539 — David Renshaw degree 58 — ρ = 0.98472604 — David Renshaw degree 59 — ρ = 0.98431653 — David Renshaw degree 60 — ρ = 0.98475501 — David Renshaw degree 61 — ρ = 0.98320273 — David Renshaw degree 62 — ρ = 0.98537068 — David Renshaw degree 63 — ρ = 0.98618120 — David Renshaw degree 64 — ρ = 0.98443122 — David Renshaw degree 65 — ρ = 0.98288585 — David Renshaw degree 66 — ρ = 0.98407489 — David Renshaw degree 67 — ρ = 0.98413960 — David Renshaw degree 68 — ρ = 0.98416382 — Matthew Robert Ballard degree 69 — ρ = 0.98499629 — David Renshaw degree 70 — ρ = 0.98632050 — David Renshaw degree 71 — ρ = 0.98398474 — Matthew Robert Ballard degree 72 — ρ = 0.98399196 — David Renshaw degree 73 — ρ = 0.98161705 — David Renshaw degree 74 — ρ = 0.98238081 — David Renshaw degree 75 — ρ = 0.98248103 — David Renshaw degree 76 — ρ = 0.98274569 — David Renshaw degree 77 — ρ = 0.98457695 — David Renshaw degree 78 — ρ = 0.98331235 — David Renshaw degree 79 — ρ = 0.98354201 — David Renshaw degree 80 — ρ = 0.98424006 — David Renshaw degree 81 — ρ = 0.98532960 — David Renshaw degree 82 — ρ = 0.98424875 — David Renshaw degree 83 — ρ = 0.98226304 — Matthew Robert Ballard degree 84 — ρ = 0.98362504 — David Renshaw degree 85 — ρ = 0.98142017 — David Renshaw degree 86 — ρ = 0.98190679 — David Renshaw degree 87 — ρ = 0.98138727 — David Renshaw degree 88 — ρ = 0.98340097 — David Renshaw degree 89 — ρ = 0.98320726 — David Renshaw degree 90 — ρ = 0.98321144 — David Renshaw degree 91 — ρ = 0.98337316 — David Renshaw degree 92 — ρ = 0.98487687 — David Renshaw degree 93 — ρ = 0.98356970 — Matthew Robert Ballard degree 94 — ρ = 0.98583167 — David Renshaw degree 95 — ρ = 0.98416584 — David Renshaw degree 96 — ρ = 0.98396883 — David Renshaw degree 97 — ρ = 0.98375712 — David Renshaw degree 98 — ρ = 0.98448971 — David Renshaw degree 99 — ρ = 0.98361022 — David Renshaw degree 100 — ρ = 0.98320908 — Matthew Robert Ballard degree 101 — ρ = 0.98477329 — Matthew Robert Ballard degree 102 — ρ = 0.98647443 — David Renshaw degree 103 — ρ = 0.98528594 — David Renshaw degree 104 — ρ = 0.98418964 — David Renshaw degree 105 — ρ = 0.98478422 — David Renshaw degree 106 — ρ = 0.98451542 — David Renshaw degree 107 — ρ = 0.98510738 — David Renshaw degree 108 — ρ = 0.98576707 — David Renshaw degree 109 — ρ = 0.98354445 — Matthew Robert Ballard degree 110 — ρ = 0.98460808 — David Renshaw degree 111 — ρ = 0.98301093 — Matthew Robert Ballard degree 112 — ρ = 0.98374618 — David Renshaw degree 113 — ρ = 0.98285170 — Matthew Robert Ballard degree 114 — ρ = 0.98227472 — Matthew Robert Ballard degree 115 — ρ = 0.98347364 — David Renshaw degree 116 — ρ = 0.98388950 — David Renshaw degree 117 — ρ = 0.98395583 — David Renshaw degree 118 — ρ = 0.98389149 — David Renshaw degree 119 — ρ = 0.98341783 — Matthew Robert Ballard degree 120 — ρ = 0.98290191 — David Renshaw degree 121 — ρ = 0.98203732 — David Renshaw degree 122 — ρ = 0.98140497 — David Renshaw degree 123 — ρ = 0.98146001 — David Renshaw degree 124 — ρ = 0.98320817 — David Renshaw degree 125 — ρ = 0.98399973 — Matthew Robert Ballard degree 126 — ρ = 0.98478137 — David Renshaw degree 127 — ρ = 0.98452000 — David Renshaw degree 128 — ρ = 0.98497231 — David Renshaw degree 129 — ρ = 0.98444807 — David Renshaw degree 130 — ρ = 0.98426653 — Matthew Robert Ballard degree 131 — ρ = 0.98467076 — Matthew Robert Ballard degree 132 — ρ = 0.98486814 — David Renshaw degree 133 — ρ = 0.98415501 — Matthew Robert Ballard degree 134 — ρ = 0.98473995 — David Renshaw degree 135 — ρ = 0.98423315 — David Renshaw degree 136 — ρ = 0.98464445 — David Renshaw degree 137 — ρ = 0.98356873 — Matthew Robert Ballard degree 138 — ρ = 0.98394618 — Matthew Robert Ballard degree 139 — ρ = 0.98445254 — David Renshaw degree 140 — ρ = 0.98548751 — David Renshaw degree 141 — ρ = 0.98398986 — David Renshaw degree 142 — ρ = 0.98319086 — David Renshaw degree 143 — ρ = 0.98257773 — Matthew Robert Ballard degree 144 — ρ = 0.98440468 — David Renshaw degree 145 — ρ = 0.98330882 — Matthew Robert Ballard degree 146 — ρ = 0.98406030 — David Renshaw degree 147 — ρ = 0.98280244 — David Renshaw degree 148 — ρ = 0.98374765 — David Renshaw degree 149 — ρ = 0.98365070 — David Renshaw degree 150 — ρ = 0.98235910 — David Renshaw degree 151 — ρ = 0.98279336 — David Renshaw degree 152 — ρ = 0.98471262 — David Renshaw degree 153 — ρ = 0.98426697 — David Renshaw degree 154 — ρ = 0.98371471 — David Renshaw degree 155 — ρ = 0.98274896 — Matthew Robert Ballard degree 156 — ρ = 0.98503338 — David Renshaw degree 157 — ρ = 0.98460608 — David Renshaw degree 158 — ρ = 0.98482954 — David Renshaw degree 159 — ρ = 0.98447438 — David Renshaw degree 160 — ρ = 0.98453962 — David Renshaw degree 161 — ρ = 0.98379769 — Matthew Robert Ballard degree 162 — ρ = 0.98309541 — David Renshaw degree 163 — ρ = 0.98322664 — David Renshaw degree 164 — ρ = 0.98407129 — David Renshaw degree 165 — ρ = 0.98312033 — David Renshaw degree 166 — ρ = 0.98462748 — David Renshaw degree 167 — ρ = 0.98460892 — Matthew Robert Ballard degree 168 — ρ = 0.98560313 — David Renshaw degree 169 — ρ = 0.98463945 — Matthew Robert Ballard degree 170 — ρ = 0.98532349 — David Renshaw degree 171 — ρ = 0.98572635 — Matthew Robert Ballard degree 172 — ρ = 0.98614748 — David Renshaw degree 173 — ρ = 0.98490655 — Matthew Robert Ballard degree 174 — ρ = 0.98430292 — Matthew Robert Ballard degree 175 — ρ = 0.98295678 — Matthew Robert Ballard degree 176 — ρ = 0.98343034 — David Renshaw degree 177 — ρ = 0.98319315 — Matthew Robert Ballard degree 178 — ρ = 0.98305241 — Matthew Robert Ballard degree 179 — ρ = 0.98269677 — Matthew Robert Ballard degree 180 — ρ = 0.98338363 — David Renshaw degree 181 — ρ = 0.98347800 — Matthew Robert Ballard degree 182 — ρ = 0.98398611 — David Renshaw degree 183 — ρ = 0.98327578 — Matthew Robert Ballard degree 184 — ρ = 0.98538613 — David Renshaw degree 185 — ρ = 0.98516712 — Matthew Robert Ballard degree 186 — ρ = 0.98412727 — Matthew Robert Ballard degree 187 — ρ = 0.98359260 — Matthew Robert Ballard degree 188 — ρ = 0.98350009 — David Renshaw degree 189 — ρ = 0.98450428 — Matthew Robert Ballard degree 190 — ρ = 0.98500816 — David Renshaw degree 191 — ρ = 0.98408827 — Matthew Robert Ballard degree 192 — ρ = 0.98474401 — David Renshaw degree 193 — ρ = 0.98361124 — Matthew Robert Ballard degree 194 — ρ = 0.98512890 — David Renshaw degree 195 — ρ = 0.98422209 — David Renshaw degree 196 — ρ = 0.98515318 — David Renshaw degree 197 — ρ = 0.98442873 — Matthew Robert Ballard degree 198 — ρ = 0.98514781 — David Renshaw degree 199 — ρ = 0.98408511 — Matthew Robert Ballard degree 200 — ρ = 0.98443115 — Matthew Robert Ballard degree 201 — ρ = 0.98412966 — David Renshaw degree 202 — ρ = 0.98445571 — David Renshaw degree 203 — ρ = 0.98377239 — David Renshaw degree 204 — ρ = 0.98346080 — Matthew Robert Ballard degree 205 — ρ = 0.98347740 — Matthew Robert Ballard degree 206 — ρ = 0.98471177 — David Renshaw degree 207 — ρ = 0.98404318 — Matthew Robert Ballard degree 208 — ρ = 0.98449502 — David Renshaw degree 209 — ρ = 0.98386419 — Matthew Robert Ballard degree 210 — ρ = 0.98474484 — David Renshaw degree 211 — ρ = 0.98525054 — Matthew Robert Ballard degree 212 — ρ = 0.98575148 — David Renshaw degree 213 — ρ = 0.98544018 — Matthew Robert Ballard degree 214 — ρ = 0.98513613 — Matthew Robert Ballard degree 215 — ρ = 0.98423797 — Matthew Robert Ballard degree 216 — ρ = 0.98425041 — Matthew Robert Ballard degree 217 — ρ = 0.98395875 — Matthew Robert Ballard degree 218 — ρ = 0.98386565 — David Renshaw degree 219 — ρ = 0.98369604 — Matthew Robert Ballard degree 220 — ρ = 0.98346548 — David Renshaw degree 221 — ρ = 0.98323091 — Matthew Robert Ballard degree 222 — ρ = 0.98410622 — David Renshaw degree 223 — ρ = 0.98377183 — Matthew Robert Ballard degree 224 — ρ = 0.98425932 — David Renshaw degree 225 — ρ = 0.98378740 — Matthew Robert Ballard degree 226 — ρ = 0.98389117 — Matthew Robert Ballard degree 227 — ρ = 0.98435626 — Matthew Robert Ballard degree 228 — ρ = 0.98508845 — Matthew Robert Ballard degree 229 — ρ = 0.98501059 — Matthew Robert Ballard degree 230 — ρ = 0.98473282 — Matthew Robert Ballard degree 231 — ρ = 0.98391845 — Matthew Robert Ballard degree 232 — ρ = 0.98454137 — Matthew Robert Ballard degree 233 — ρ = 0.98491495 — Matthew Robert Ballard degree 234 — ρ = 0.98461073 — Matthew Robert Ballard degree 235 — ρ = 0.98447103 — Matthew Robert Ballard degree 236 — ρ = 0.98446846 — Matthew Robert Ballard degree 237 — ρ = 0.98354626 — Matthew Robert Ballard degree 238 — ρ = 0.98498757 — David Renshaw degree 239 — ρ = 0.98492379 — David Renshaw degree 240 — ρ = 0.98482266 — David Renshaw degree 241 — ρ = 0.98415696 — David Renshaw degree 242 — ρ = 0.98383976 — David Renshaw degree 243 — ρ = 0.98397369 — David Renshaw degree 244 — ρ = 0.98441441 — Matthew Robert Ballard degree 245 — ρ = 0.98377872 — David Renshaw degree 246 — ρ = 0.98450094 — Matthew Robert Ballard degree 247 — ρ = 0.98457971 — Matthew Robert Ballard degree 248 — ρ = 0.98385455 — Matthew Robert Ballard degree 249 — ρ = 0.98347835 — David Renshaw degree 250 — ρ = 0.98348361 — David Renshaw degree 251 — ρ = 0.98366190 — Matthew Robert Ballard degree 252 — ρ = 0.98416079 — David Renshaw degree 253 — ρ = 0.98323942 — Matthew Robert Ballard degree 254 — ρ = 0.98403421 — Matthew Robert Ballard degree 255 — ρ = 0.98346783 — Matthew Robert Ballard degree 256 — ρ = 0.98306589 — Matthew Robert Ballard degree 257 — ρ = 0.98262710 — Matthew Robert Ballard degree 258 — ρ = 0.98272427 — Matthew Robert Ballard degree 259 — ρ = 0.98231951 — Matthew Robert Ballard degree 260 — ρ = 0.98291543 — Matthew Robert Ballard degree 261 — ρ = 0.98354215 — Matthew Robert Ballard degree 262 — ρ = 0.98387271 — Matthew Robert Ballard degree 263 — ρ = 0.98300523 — Matthew Robert Ballard degree 264 — ρ = 0.98299105 — Matthew Robert Ballard degree 265 — ρ = 0.98347145 — Matthew Robert Ballard degree 266 — ρ = 0.98407939 — Matthew Robert Ballard degree 267 — ρ = 0.98329280 — Matthew Robert Ballard degree 268 — ρ = 0.98330797 — Matthew Robert Ballard degree 269 — ρ = 0.98222137 — Matthew Robert Ballard degree 270 — ρ = 0.98265006 — Matthew Robert Ballard degree 271 — ρ = 0.98314309 — Matthew Robert Ballard degree 272 — ρ = 0.98368099 — Matthew Robert Ballard degree 273 — ρ = 0.98339066 — Matthew Robert Ballard degree 274 — ρ = 0.98372064 — Matthew Robert Ballard degree 275 — ρ = 0.98334362 — Matthew Robert Ballard degree 276 — ρ = 0.98331090 — Matthew Robert Ballard degree 277 — ρ = 0.98280207 — Matthew Robert Ballard degree 278 — ρ = 0.98276402 — Matthew Robert Ballard degree 279 — ρ = 0.98245755 — Matthew Robert Ballard degree 280 — ρ = 0.98248093 — Matthew Robert Ballard degree 281 — ρ = 0.98296084 — Matthew Robert Ballard degree 282 — ρ = 0.98376623 — Matthew Robert Ballard degree 283 — ρ = 0.98323766 — Matthew Robert Ballard degree 284 — ρ = 0.98393402 — Matthew Robert Ballard degree 285 — ρ = 0.98320110 — Matthew Robert Ballard degree 286 — ρ = 0.98323701 — Matthew Robert Ballard degree 287 — ρ = 0.98273946 — Matthew Robert Ballard degree 288 — ρ = 0.98207555 — Matthew Robert Ballard degree 289 — ρ = 0.98221781 — David Renshaw degree 290 — ρ = 0.98184805 — Matthew Robert Ballard degree 291 — ρ = 0.98135309 — Matthew Robert Ballard degree 292 — ρ = 0.98240440 — Matthew Robert Ballard degree 293 — ρ = 0.98203893 — Matthew Robert Ballard degree 294 — ρ = 0.98148138 — Matthew Robert Ballard degree 295 — ρ = 0.98128880 — David Renshaw degree 296 — ρ = 0.98129620 — Matthew Robert Ballard degree 297 — ρ = 0.98210764 — Matthew Robert Ballard degree 298 — ρ = 0.98295377 — Matthew Robert Ballard degree 299 — ρ = 0.98240499 — Matthew Robert Ballard degree 300 — ρ = 0.98202802 — David Renshaw degree 301 — ρ = 0.98168534 — David Renshaw degree 302 — ρ = 0.98193834 — David Renshaw degree 303 — ρ = 0.98218520 — David Renshaw degree 304 — ρ = 0.98213906 — David Renshaw degree 305 — ρ = 0.98218162 — David Renshaw degree 306 — ρ = 0.98244031 — David Renshaw degree 307 — ρ = 0.98234277 — David Renshaw degree 308 — ρ = 0.98225771 — David Renshaw degree 309 — ρ = 0.98219624 — David Renshaw degree 310 — ρ = 0.98198506 — David Renshaw degree 311 — ρ = 0.98178657 — David Renshaw degree 312 — ρ = 0.98158052 — David Renshaw degree 313 — ρ = 0.98057404 — David Renshaw degree 314 — ρ = 0.98046483 — David Renshaw degree 315 — ρ = 0.98071338 — David Renshaw degree 316 — ρ = 0.98068849 — David Renshaw degree 317 — ρ = 0.98032516 — David Renshaw degree 318 — ρ = 0.98060591 — David Renshaw degree 319 — ρ = 0.98074286 — David Renshaw degree 320 — ρ = 0.98164173 — David Renshaw degree 321 — ρ = 0.98172614 — David Renshaw degree 322 — ρ = 0.98175541 — David Renshaw degree 323 — ρ = 0.98161833 — David Renshaw degree 324 — ρ = 0.98131163 — David Renshaw degree 325 — ρ = 0.98129650 — David Renshaw degree 326 — ρ = 0.98151122 — David Renshaw degree 327 — ρ = 0.98048603 — David Renshaw degree 328 — ρ = 0.98029143 — David Renshaw degree 329 — ρ = 0.98036050 — David Renshaw degree 330 — ρ = 0.98063602 — David Renshaw degree 331 — ρ = 0.98080698 — David Renshaw degree 332 — ρ = 0.98102523 — David Renshaw degree 333 — ρ = 0.98102432 — David Renshaw degree 334 — ρ = 0.98094290 — David Renshaw degree 335 — ρ = 0.98060585 — David Renshaw degree 336 — ρ = 0.98084273 — David Renshaw degree 337 — ρ = 0.98066340 — David Renshaw degree 338 — ρ = 0.98160525 — David Renshaw degree 339 — ρ = 0.98149569 — David Renshaw degree 340 — ρ = 0.98135905 — David Renshaw degree 341 — ρ = 0.98133479 — David Renshaw degree 342 — ρ = 0.98133651 — David Renshaw degree 343 — ρ = 0.98095972 — David Renshaw degree 344 — ρ = 0.98079596 — David Renshaw degree 345 — ρ = 0.98024923 — David Renshaw degree 346 — ρ = 0.98013145 — David Renshaw degree 347 — ρ = 0.97996450 — David Renshaw degree 348 — ρ = 0.97991742 — David Renshaw degree 349 — ρ = 0.97972805 — David Renshaw degree 350 — ρ = 0.97985004 — David Renshaw degree 351 — ρ = 0.98024602 — David Renshaw degree 352 — ρ = 0.98063663 — David Renshaw degree 353 — ρ = 0.98015758 — David Renshaw degree 354 — ρ = 0.97991237 — David Renshaw degree 355 — ρ = 0.97969049 — David Renshaw degree 356 — ρ = 0.97974337 — David Renshaw degree 357 — ρ = 0.97946212 — David Renshaw degree 358 — ρ = 0.97952300 — David Renshaw degree 359 — ρ = 0.97920871 — David Renshaw degree 360 — ρ = 0.98029102 — David Renshaw degree 361 — ρ = 0.98027799 — David Renshaw degree 362 — ρ = 0.98024860 — David Renshaw degree 363 — ρ = 0.97975952 — David Renshaw degree 364 — ρ = 0.97951620 — David Renshaw degree 365 — ρ = 0.97961621 — David Renshaw degree 366 — ρ = 0.97924793 — David Renshaw degree 367 — ρ = 0.97907921 — David Renshaw degree 368 — ρ = 0.97906832 — David Renshaw degree 369 — ρ = 0.97905001 — David Renshaw degree 370 — ρ = 0.98005365 — David Renshaw degree 371 — ρ = 0.98034261 — David Renshaw degree 372 — ρ = 0.98063260 — David Renshaw degree 373 — ρ = 0.98049353 — David Renshaw degree 374 — ρ = 0.98037767 — David Renshaw degree 375 — ρ = 0.98027634 — David Renshaw degree 376 — ρ = 0.98012250 — David Renshaw degree 377 — ρ = 0.97971336 — David Renshaw degree 378 — ρ = 0.97957392 — David Renshaw degree 379 — ρ = 0.97939769 — David Renshaw degree 380 — ρ = 0.97919425 — David Renshaw degree 381 — ρ = 0.97902348 — David Renshaw degree 382 — ρ = 0.97929115 — David Renshaw degree 383 — ρ = 0.97908692 — David Renshaw degree 384 — ρ = 0.97929755 — David Renshaw degree 385 — ρ = 0.97937420 — David Renshaw degree 386 — ρ = 0.97941387 — David Renshaw degree 387 — ρ = 0.97966485 — David Renshaw degree 388 — ρ = 0.98016991 — David Renshaw degree 389 — ρ = 0.97996221 — David Renshaw degree 390 — ρ = 0.98019662 — David Renshaw degree 391 — ρ = 0.98027992 — David Renshaw degree 392 — ρ = 0.98002863 — David Renshaw degree 393 — ρ = 0.98030304 — David Renshaw degree 394 — ρ = 0.98039133 — David Renshaw degree 395 — ρ = 0.97988964 — David Renshaw degree 396 — ρ = 0.97968619 — David Renshaw degree 397 — ρ = 0.97940786 — David Renshaw degree 398 — ρ = 0.97991827 — David Renshaw degree 399 — ρ = 0.97966583 — David Renshaw degree 400 — ρ = 0.97979108 — David Renshaw degree 401 — ρ = 0.97939951 — David Renshaw degree 402 — ρ = 0.97950943 — David Renshaw degree 403 — ρ = 0.97926460 — David Renshaw degree 404 — ρ = 0.97921215 — David Renshaw degree 405 — ρ = 0.97908324 — David Renshaw degree 406 — ρ = 0.97894335 — David Renshaw degree 407 — ρ = 0.97987589 — David Renshaw degree 408 — ρ = 0.98032188 — David Renshaw degree 409 — ρ = 0.98097039 — David Renshaw degree 410 — ρ = 0.98179323 — David Renshaw degree 411 — ρ = 0.98162286 — David Renshaw degree 412 — ρ = 0.98158456 — David Renshaw degree 413 — ρ = 0.98148028 — David Renshaw degree 414 — ρ = 0.98043674 — David Renshaw degree 415 — ρ = 0.98134425 — David Renshaw degree 416 — ρ = 0.98029334 — David Renshaw degree 417 — ρ = 0.98005726 — David Renshaw degree 418 — ρ = 0.98022027 — David Renshaw degree 419 — ρ = 0.98016361 — David Renshaw degree 420 — ρ = 0.98030486 — David Renshaw degree 421 — ρ = 0.98002659 — David Renshaw degree 422 — ρ = 0.97975457 — David Renshaw degree 423 — ρ = 0.97947408 — David Renshaw degree 424 — ρ = 0.97997203 — David Renshaw degree 425 — ρ = 0.97956394 — David Renshaw degree 426 — ρ = 0.97925493 — David Renshaw degree 427 — ρ = 0.97923150 — David Renshaw degree 428 — ρ = 0.97965461 — David Renshaw degree 429 — ρ = 0.98003209 — David Renshaw degree 430 — ρ = 0.98029500 — David Renshaw degree 431 — ρ = 0.98009140 — David Renshaw degree 432 — ρ = 0.97999064 — David Renshaw degree 433 — ρ = 0.98002313 — David Renshaw degree 434 — ρ = 0.98024615 — David Renshaw degree 435 — ρ = 0.98010103 — David Renshaw degree 436 — ρ = 0.97992330 — David Renshaw degree 437 — ρ = 0.97980171 — David Renshaw degree 438 — ρ = 0.97960589 — David Renshaw degree 439 — ρ = 0.97954125 — David Renshaw degree 440 — ρ = 0.97952483 — David Renshaw degree 441 — ρ = 0.97929841 — David Renshaw degree 442 — ρ = 0.97924026 — David Renshaw degree 443 — ρ = 0.97916554 — David Renshaw degree 444 — ρ = 0.97900424 — David Renshaw degree 445 — ρ = 0.97890741 — David Renshaw degree 446 — ρ = 0.97896909 — David Renshaw degree 447 — ρ = 0.97927996 — David Renshaw degree 448 — ρ = 0.98025374 — David Renshaw degree 449 — ρ = 0.98084768 — David Renshaw degree 450 — ρ = 0.98146200 — David Renshaw degree 451 — ρ = 0.98087635 — David Renshaw degree 452 — ρ = 0.98111046 — David Renshaw degree 453 — ρ = 0.98134575 — David Renshaw degree 454 — ρ = 0.98159021 — David Renshaw degree 455 — ρ = 0.98161909 — David Renshaw degree 456 — ρ = 0.98174158 — David Renshaw degree 457 — ρ = 0.98136609 — David Renshaw degree 458 — ρ = 0.98123019 — David Renshaw degree 459 — ρ = 0.98109417 — David Renshaw degree 460 — ρ = 0.98148284 — David Renshaw degree 461 — ρ = 0.98093580 — David Renshaw degree 462 — ρ = 0.98160024 — David Renshaw degree 463 — ρ = 0.98166183 — David Renshaw degree 464 — ρ = 0.98173604 — David Renshaw degree 465 — ρ = 0.98129081 — David Renshaw degree 466 — ρ = 0.98031694 — David Renshaw degree 467 — ρ = 0.98062954 — David Renshaw degree 468 — ρ = 0.98069064 — David Renshaw degree 469 — ρ = 0.98049444 — David Renshaw degree 470 — ρ = 0.98065435 — David Renshaw degree 471 — ρ = 0.98064055 — David Renshaw degree 472 — ρ = 0.98099536 — David Renshaw degree 473 — ρ = 0.98084675 — David Renshaw degree 474 — ρ = 0.98069830 — David Renshaw degree 475 — ρ = 0.98070888 — David Renshaw degree 476 — ρ = 0.98080283 — David Renshaw degree 477 — ρ = 0.98107103 — David Renshaw degree 478 — ρ = 0.98118648 — David Renshaw degree 479 — ρ = 0.98124801 — David Renshaw degree 480 — ρ = 0.98149383 — David Renshaw degree 481 — ρ = 0.98146652 — David Renshaw degree 482 — ρ = 0.98142848 — David Renshaw degree 483 — ρ = 0.98115251 — David Renshaw degree 484 — ρ = 0.98107176 — David Renshaw degree 485 — ρ = 0.98102747 — David Renshaw degree 486 — ρ = 0.98131301 — David Renshaw degree 487 — ρ = 0.98143841 — David Renshaw degree 488 — ρ = 0.98160837 — David Renshaw degree 489 — ρ = 0.98125612 — David Renshaw degree 490 — ρ = 0.98110403 — David Renshaw degree 491 — ρ = 0.98129084 — David Renshaw degree 492 — ρ = 0.98147838 — David Renshaw degree 493 — ρ = 0.98151778 — David Renshaw degree 494 — ρ = 0.98143575 — David Renshaw degree 495 — ρ = 0.98144348 — David Renshaw degree 496 — ρ = 0.98135710 — David Renshaw degree 497 — ρ = 0.98113663 — David Renshaw degree 498 — ρ = 0.98090444 — David Renshaw degree 499 — ρ = 0.98050272 — David Renshaw degree 500 — ρ = 0.98066961 — David Renshaw degree 501 — ρ = 0.98027009 — David Renshaw degree 502 — ρ = 0.98051886 — David Renshaw degree 503 — ρ = 0.98176317 — David Renshaw degree 504 — ρ = 0.98224913 — David Renshaw degree 505 — ρ = 0.98158871 — David Renshaw degree 506 — ρ = 0.98142999 — David Renshaw degree 507 — ρ = 0.98128120 — David Renshaw degree 508 — ρ = 0.98129359 — David Renshaw degree 509 — ρ = 0.98091818 — David Renshaw degree 510 — ρ = 0.98089954 — David Renshaw degree 511 — ρ = 0.98041779 — David Renshaw degree 512 — ρ = 0.98056118 — David Renshaw degree 513 — ρ = 0.98000146 — David Renshaw degree 514 — ρ = 0.98010321 — David Renshaw degree 515 — ρ = 0.98008368 — David Renshaw degree 516 — ρ = 0.98037619 — David Renshaw degree 517 — ρ = 0.98033205 — David Renshaw degree 518 — ρ = 0.98063504 — David Renshaw degree 519 — ρ = 0.98028485 — David Renshaw degree 520 — ρ = 0.98025500 — David Renshaw degree 521 — ρ = 0.97993419 — David Renshaw degree 522 — ρ = 0.98008622 — David Renshaw degree 523 — ρ = 0.97984080 — David Renshaw degree 524 — ρ = 0.97956647 — David Renshaw degree 525 — ρ = 0.97925007 — David Renshaw degree 526 — ρ = 0.97912598 — David Renshaw degree 527 — ρ = 0.97891930 — David Renshaw degree 528 — ρ = 0.97884373 — David Renshaw degree 529 — ρ = 0.97871080 — David Renshaw degree 530 — ρ = 0.97864907 — David Renshaw degree 531 — ρ = 0.97839179 — David Renshaw degree 532 — ρ = 0.97827100 — David Renshaw degree 533 — ρ = 0.97831629 — David Renshaw degree 534 — ρ = 0.97826363 — David Renshaw degree 535 — ρ = 0.97840776 — David Renshaw degree 536 — ρ = 0.97833992 — David Renshaw degree 537 — ρ = 0.97827159 — David Renshaw degree 538 — ρ = 0.97834897 — David Renshaw degree 539 — ρ = 0.97842742 — David Renshaw degree 540 — ρ = 0.97847558 — David Renshaw degree 541 — ρ = 0.97852192 — David Renshaw degree 542 — ρ = 0.97847251 — David Renshaw degree 543 — ρ = 0.97848626 — David Renshaw degree 544 — ρ = 0.97848942 — David Renshaw degree 545 — ρ = 0.97865019 — David Renshaw degree 546 — ρ = 0.97862606 — David Renshaw degree 547 — ρ = 0.97859641 — David Renshaw degree 548 — ρ = 0.97858867 — David Renshaw degree 549 — ρ = 0.97868588 — David Renshaw degree 550 — ρ = 0.97866873 — David Renshaw degree 551 — ρ = 0.97857456 — David Renshaw degree 552 — ρ = 0.97847553 — David Renshaw degree 553 — ρ = 0.97850839 — David Renshaw degree 554 — ρ = 0.97845808 — David Renshaw degree 555 — ρ = 0.97850580 — David Renshaw degree 556 — ρ = 0.97845195 — David Renshaw degree 557 — ρ = 0.97826662 — David Renshaw degree 558 — ρ = 0.97826706 — David Renshaw degree 559 — ρ = 0.97835030 — David Renshaw degree 560 — ρ = 0.97834891 — David Renshaw degree 561 — ρ = 0.97837230 — David Renshaw degree 562 — ρ = 0.97843544 — David Renshaw degree 563 — ρ = 0.97844423 — David Renshaw degree 564 — ρ = 0.97844733 — David Renshaw degree 565 — ρ = 0.97848162 — David Renshaw degree 566 — ρ = 0.97848329 — David Renshaw degree 567 — ρ = 0.97843172 — David Renshaw degree 568 — ρ = 0.97857352 — David Renshaw degree 569 — ρ = 0.97841890 — David Renshaw degree 570 — ρ = 0.97854984 — David Renshaw degree 571 — ρ = 0.97887117 — David Renshaw degree 572 — ρ = 0.97950641 — David Renshaw degree 573 — ρ = 0.97929759 — David Renshaw degree 574 — ρ = 0.97909920 — David Renshaw degree 575 — ρ = 0.97889271 — David Renshaw degree 576 — ρ = 0.97863824 — David Renshaw degree 577 — ρ = 0.97847773 — David Renshaw degree 578 — ρ = 0.97846146 — David Renshaw degree 579 — ρ = 0.97830335 — David Renshaw degree 580 — ρ = 0.97833123 — David Renshaw degree 581 — ρ = 0.97837110 — David Renshaw degree 582 — ρ = 0.97842337 — David Renshaw degree 583 — ρ = 0.97846886 — David Renshaw degree 584 — ρ = 0.97822649 — David Renshaw degree 585 — ρ = 0.97823988 — David Renshaw degree 586 — ρ = 0.97823946 — David Renshaw degree 587 — ρ = 0.97828827 — David Renshaw degree 588 — ρ = 0.97821655 — David Renshaw degree 589 — ρ = 0.97805746 — David Renshaw degree 590 — ρ = 0.97815265 — David Renshaw degree 591 — ρ = 0.97821710 — David Renshaw degree 592 — ρ = 0.97820414 — David Renshaw degree 593 — ρ = 0.97824255 — David Renshaw degree 594 — ρ = 0.97821693 — David Renshaw degree 595 — ρ = 0.97822036 — David Renshaw degree 596 — ρ = 0.97825169 — David Renshaw degree 597 — ρ = 0.97825107 — David Renshaw degree 598 — ρ = 0.97834181 — David Renshaw degree 599 — ρ = 0.97837563 — David Renshaw degree 600 — ρ = 0.97836636 — David Renshaw degree 601 — ρ = 0.97837317 — David Renshaw degree 602 — ρ = 0.97838491 — David Renshaw degree 603 — ρ = 0.97832130 — David Renshaw degree 604 — ρ = 0.97831457 — David Renshaw degree 605 — ρ = 0.97833765 — David Renshaw degree 606 — ρ = 0.97829416 — David Renshaw degree 607 — ρ = 0.97833351 — David Renshaw degree 608 — ρ = 0.97839766 — David Renshaw degree 609 — ρ = 0.97844357 — David Renshaw degree 610 — ρ = 0.97837669 — David Renshaw degree 611 — ρ = 0.97840224 — David Renshaw degree 612 — ρ = 0.97836445 — David Renshaw degree 613 — ρ = 0.97828739 — David Renshaw degree 614 — ρ = 0.97829420 — David Renshaw degree 615 — ρ = 0.97829148 — David Renshaw degree 616 — ρ = 0.97824785 — David Renshaw degree 617 — ρ = 0.97823801 — David Renshaw degree 618 — ρ = 0.97823307 — David Renshaw degree 619 — ρ = 0.97825441 — David Renshaw degree 620 — ρ = 0.97827261 — David Renshaw degree 621 — ρ = 0.97828689 — David Renshaw degree 622 — ρ = 0.97827037 — David Renshaw degree 623 — ρ = 0.97822115 — David Renshaw degree 624 — ρ = 0.97821144 — David Renshaw degree 625 — ρ = 0.97819732 — David Renshaw degree 626 — ρ = 0.97817137 — David Renshaw degree 627 — ρ = 0.97814234 — David Renshaw degree 628 — ρ = 0.97828652 — David Renshaw degree 629 — ρ = 0.97871518 — David Renshaw degree 630 — ρ = 0.97874710 — David Renshaw degree 631 — ρ = 0.97875830 — David Renshaw degree 632 — ρ = 0.97882397 — David Renshaw degree 633 — ρ = 0.97877088 — David Renshaw degree 634 — ρ = 0.97882982 — David Renshaw degree 635 — ρ = 0.97878322 — David Renshaw degree 636 — ρ = 0.97857511 — David Renshaw degree 637 — ρ = 0.97843795 — David Renshaw degree 638 — ρ = 0.97840789 — David Renshaw degree 639 — ρ = 0.97843989 — David Renshaw degree 640 — ρ = 0.97835278 — David Renshaw degree 641 — ρ = 0.97842943 — David Renshaw degree 642 — ρ = 0.97848799 — David Renshaw degree 643 — ρ = 0.97855647 — David Renshaw degree 644 — ρ = 0.97852084 — David Renshaw degree 645 — ρ = 0.97851723 — David Renshaw degree 646 — ρ = 0.97853084 — David Renshaw degree 647 — ρ = 0.97854089 — David Renshaw degree 648 — ρ = 0.97856111 — David Renshaw degree 649 — ρ = 0.97850732 — David Renshaw degree 650 — ρ = 0.97848413 — David Renshaw degree 651 — ρ = 0.97850480 — David Renshaw degree 652 — ρ = 0.97857307 — David Renshaw degree 653 — ρ = 0.97861230 — David Renshaw degree 654 — ρ = 0.97858819 — David Renshaw degree 655 — ρ = 0.97856608 — David Renshaw degree 656 — ρ = 0.97853698 — David Renshaw degree 657 — ρ = 0.97850393 — David Renshaw degree 658 — ρ = 0.97850344 — David Renshaw degree 659 — ρ = 0.97851597 — David Renshaw degree 660 — ρ = 0.97851682 — David Renshaw degree 661 — ρ = 0.97845555 — David Renshaw degree 662 — ρ = 0.97845056 — David Renshaw degree 663 — ρ = 0.97848792 — David Renshaw degree 664 — ρ = 0.97849049 — David Renshaw degree 665 — ρ = 0.97852488 — David Renshaw degree 666 — ρ = 0.97854281 — David Renshaw degree 667 — ρ = 0.97856094 — David Renshaw degree 668 — ρ = 0.97854163 — David Renshaw degree 669 — ρ = 0.97854085 — David Renshaw degree 670 — ρ = 0.97853211 — David Renshaw degree 671 — ρ = 0.97855724 — David Renshaw degree 672 — ρ = 0.97854907 — David Renshaw degree 673 — ρ = 0.97851967 — David Renshaw degree 674 — ρ = 0.97838822 — David Renshaw degree 675 — ρ = 0.97837594 — David Renshaw degree 676 — ρ = 0.97837636 — David Renshaw degree 677 — ρ = 0.97837158 — David Renshaw degree 678 — ρ = 0.97835093 — David Renshaw degree 679 — ρ = 0.97840866 — David Renshaw degree 680 — ρ = 0.97832062 — David Renshaw degree 681 — ρ = 0.97831050 — David Renshaw degree 682 — ρ = 0.97830609 — David Renshaw degree 683 — ρ = 0.97834935 — David Renshaw degree 684 — ρ = 0.97839502 — David Renshaw degree 685 — ρ = 0.97840639 — David Renshaw degree 686 — ρ = 0.97847052 — David Renshaw degree 687 — ρ = 0.97841482 — David Renshaw degree 688 — ρ = 0.97836560 — David Renshaw degree 689 — ρ = 0.97839546 — David Renshaw degree 690 — ρ = 0.97841448 — David Renshaw degree 691 — ρ = 0.97839473 — David Renshaw degree 692 — ρ = 0.97840525 — David Renshaw degree 693 — ρ = 0.97840587 — David Renshaw degree 694 — ρ = 0.97836243 — David Renshaw degree 695 — ρ = 0.97836033 — David Renshaw degree 696 — ρ = 0.97836781 — David Renshaw degree 697 — ρ = 0.97829936 — David Renshaw degree 698 — ρ = 0.97829295 — David Renshaw degree 699 — ρ = 0.97838038 — David Renshaw degree 700 — ρ = 0.97843368 — David Renshaw degree 701 — ρ = 0.97838928 — David Renshaw degree 702 — ρ = 0.97836904 — David Renshaw degree 703 — ρ = 0.97837276 — David Renshaw degree 704 — ρ = 0.97839341 — David Renshaw degree 705 — ρ = 0.97839044 — David Renshaw degree 706 — ρ = 0.97840000 — David Renshaw degree 707 — ρ = 0.97839456 — David Renshaw degree 708 — ρ = 0.97836028 — David Renshaw degree 709 — ρ = 0.97836569 — David Renshaw degree 710 — ρ = 0.97844792 — David Renshaw degree 711 — ρ = 0.97846151 — David Renshaw degree 712 — ρ = 0.97847917 — David Renshaw degree 713 — ρ = 0.97847777 — David Renshaw degree 714 — ρ = 0.97841762 — David Renshaw degree 715 — ρ = 0.97838695 — David Renshaw degree 716 — ρ = 0.97839961 — David Renshaw degree 717 — ρ = 0.97838414 — David Renshaw degree 718 — ρ = 0.97837297 — David Renshaw degree 719 — ρ = 0.97830744 — David Renshaw degree 720 — ρ = 0.97827130 — David Renshaw degree 721 — ρ = 0.97831856 — David Renshaw degree 722 — ρ = 0.97836015 — David Renshaw degree 723 — ρ = 0.97837149 — David Renshaw degree 724 — ρ = 0.97827271 — David Renshaw degree 725 — ρ = 0.97828216 — David Renshaw degree 726 — ρ = 0.97826589 — David Renshaw degree 727 — ρ = 0.97826025 — David Renshaw degree 728 — ρ = 0.97823283 — David Renshaw degree 729 — ρ = 0.97831772 — David Renshaw degree 730 — ρ = 0.97824560 — David Renshaw degree 731 — ρ = 0.97841341 — David Renshaw degree 732 — ρ = 0.97848749 — David Renshaw degree 733 — ρ = 0.97839414 — David Renshaw degree 734 — ρ = 0.97842611 — David Renshaw degree 735 — ρ = 0.97841497 — David Renshaw degree 736 — ρ = 0.97845639 — David Renshaw degree 737 — ρ = 0.97846717 — David Renshaw degree 738 — ρ = 0.97847842 — David Renshaw degree 739 — ρ = 0.97852091 — David Renshaw degree 740 — ρ = 0.97851165 — David Renshaw degree 741 — ρ = 0.97861909 — David Renshaw degree 742 — ρ = 0.97860386 — David Renshaw degree 743 — ρ = 0.97848891 — David Renshaw degree 744 — ρ = 0.97855070 — David Renshaw degree 745 — ρ = 0.97843930 — David Renshaw degree 746 — ρ = 0.97839307 — David Renshaw degree 747 — ρ = 0.97838316 — David Renshaw degree 748 — ρ = 0.97838458 — David Renshaw degree 749 — ρ = 0.97843179 — David Renshaw degree 750 — ρ = 0.97848185 — David Renshaw degree 751 — ρ = 0.97848482 — David Renshaw degree 752 — ρ = 0.97855534 — David Renshaw degree 753 — ρ = 0.97852154 — David Renshaw degree 754 — ρ = 0.97855752 — David Renshaw degree 755 — ρ = 0.97854010 — David Renshaw degree 756 — ρ = 0.97852096 — David Renshaw degree 757 — ρ = 0.97851829 — David Renshaw degree 758 — ρ = 0.97851488 — David Renshaw degree 759 — ρ = 0.97848384 — David Renshaw degree 760 — ρ = 0.97847277 — David Renshaw degree 761 — ρ = 0.97849494 — David Renshaw degree 762 — ρ = 0.97848163 — David Renshaw degree 763 — ρ = 0.97849954 — David Renshaw degree 764 — ρ = 0.97853849 — David Renshaw degree 765 — ρ = 0.97853963 — David Renshaw degree 766 — ρ = 0.97851396 — David Renshaw degree 767 — ρ = 0.97842604 — David Renshaw degree 768 — ρ = 0.97840098 — David Renshaw degree 769 — ρ = 0.97841871 — David Renshaw degree 770 — ρ = 0.97839285 — David Renshaw degree 771 — ρ = 0.97836204 — David Renshaw degree 772 — ρ = 0.97840928 — David Renshaw degree 773 — ρ = 0.97843085 — David Renshaw degree 774 — ρ = 0.97849034 — David Renshaw degree 775 — ρ = 0.97835101 — David Renshaw degree 776 — ρ = 0.97834048 — David Renshaw degree 777 — ρ = 0.97841889 — David Renshaw degree 778 — ρ = 0.97840178 — David Renshaw degree 779 — ρ = 0.97842596 — David Renshaw degree 780 — ρ = 0.97842282 — David Renshaw degree 781 — ρ = 0.97845848 — David Renshaw degree 782 — ρ = 0.97840884 — David Renshaw degree 783 — ρ = 0.97840407 — David Renshaw degree 784 — ρ = 0.97841676 — David Renshaw degree 785 — ρ = 0.97845749 — David Renshaw degree 786 — ρ = 0.97845760 — David Renshaw degree 787 — ρ = 0.97847539 — David Renshaw degree 788 — ρ = 0.97847849 — David Renshaw degree 789 — ρ = 0.97845554 — David Renshaw degree 790 — ρ = 0.97844487 — David Renshaw degree 791 — ρ = 0.97840646 — David Renshaw degree 792 — ρ = 0.97833019 — David Renshaw degree 793 — ρ = 0.97834796 — David Renshaw degree 794 — ρ = 0.97833007 — David Renshaw degree 795 — ρ = 0.97836472 — David Renshaw degree 796 — ρ = 0.97843104 — David Renshaw degree 797 — ρ = 0.97837431 — David Renshaw degree 798 — ρ = 0.97847205 — David Renshaw degree 799 — ρ = 0.97837872 — David Renshaw degree 800 — ρ = 0.97844118 — David Renshaw degree 801 — ρ = 0.97845241 — David Renshaw degree 802 — ρ = 0.97839384 — David Renshaw degree 803 — ρ = 0.97840552 — David Renshaw degree 804 — ρ = 0.97848635 — David Renshaw degree 805 — ρ = 0.97847547 — David Renshaw degree 806 — ρ = 0.97845612 — David Renshaw degree 807 — ρ = 0.97843188 — David Renshaw degree 808 — ρ = 0.97841629 — David Renshaw degree 809 — ρ = 0.97840643 — David Renshaw degree 810 — ρ = 0.97842713 — David Renshaw degree 811 — ρ = 0.97840048 — David Renshaw degree 812 — ρ = 0.97840774 — David Renshaw degree 813 — ρ = 0.97838404 — David Renshaw degree 814 — ρ = 0.97839835 — David Renshaw degree 815 — ρ = 0.97839397 — David Renshaw degree 816 — ρ = 0.97844681 — David Renshaw degree 817 — ρ = 0.97844742 — David Renshaw degree 818 — ρ = 0.97845450 — David Renshaw degree 819 — ρ = 0.97846807 — David Renshaw degree 820 — ρ = 0.97846560 — David Renshaw degree 821 — ρ = 0.97838793 — David Renshaw degree 822 — ρ = 0.97833835 — David Renshaw degree 823 — ρ = 0.97837697 — David Renshaw degree 824 — ρ = 0.97840813 — David Renshaw degree 825 — ρ = 0.97841238 — David Renshaw degree 826 — ρ = 0.97842496 — David Renshaw degree 827 — ρ = 0.97842340 — David Renshaw degree 828 — ρ = 0.97837966 — David Renshaw degree 829 — ρ = 0.97830548 — David Renshaw degree 830 — ρ = 0.97829489 — David Renshaw degree 831 — ρ = 0.97830520 — David Renshaw degree 832 — ρ = 0.97830831 — David Renshaw degree 833 — ρ = 0.97823129 — David Renshaw degree 834 — ρ = 0.97819450 — David Renshaw degree 835 — ρ = 0.97822246 — David Renshaw degree 836 — ρ = 0.97830280 — David Renshaw degree 837 — ρ = 0.97826205 — David Renshaw degree 838 — ρ = 0.97822657 — David Renshaw degree 839 — ρ = 0.97824857 — David Renshaw degree 840 — ρ = 0.97818220 — David Renshaw degree 841 — ρ = 0.97827111 — David Renshaw degree 842 — ρ = 0.97827395 — David Renshaw degree 843 — ρ = 0.97826350 — David Renshaw degree 844 — ρ = 0.97831431 — David Renshaw degree 845 — ρ = 0.97838297 — David Renshaw degree 846 — ρ = 0.97833967 — David Renshaw degree 847 — ρ = 0.97833125 — David Renshaw degree 848 — ρ = 0.97827732 — David Renshaw degree 849 — ρ = 0.97829912 — David Renshaw degree 850 — ρ = 0.97829661 — David Renshaw degree 851 — ρ = 0.97834352 — David Renshaw degree 852 — ρ = 0.97835776 — David Renshaw degree 853 — ρ = 0.97834226 — David Renshaw degree 854 — ρ = 0.97838847 — David Renshaw degree 855 — ρ = 0.97842740 — David Renshaw degree 856 — ρ = 0.97841134 — David Renshaw degree 857 — ρ = 0.97837975 — David Renshaw degree 858 — ρ = 0.97843769 — David Renshaw degree 859 — ρ = 0.97845736 — David Renshaw degree 860 — ρ = 0.97842575 — David Renshaw degree 861 — ρ = 0.97839888 — David Renshaw degree 862 — ρ = 0.97844048 — David Renshaw degree 863 — ρ = 0.97846314 — David Renshaw degree 864 — ρ = 0.97843825 — David Renshaw degree 865 — ρ = 0.97849286 — David Renshaw degree 866 — ρ = 0.97853717 — David Renshaw degree 867 — ρ = 0.97851634 — David Renshaw degree 868 — ρ = 0.97848819 — David Renshaw degree 869 — ρ = 0.97849135 — David Renshaw degree 870 — ρ = 0.97842096 — David Renshaw degree 871 — ρ = 0.97843572 — David Renshaw degree 872 — ρ = 0.97842886 — David Renshaw degree 873 — ρ = 0.97840872 — David Renshaw degree 874 — ρ = 0.97838604 — David Renshaw degree 875 — ρ = 0.97831683 — David Renshaw degree 876 — ρ = 0.97830054 — David Renshaw degree 877 — ρ = 0.97832290 — David Renshaw degree 878 — ρ = 0.97832152 — David Renshaw degree 879 — ρ = 0.97831957 — David Renshaw degree 880 — ρ = 0.97832524 — David Renshaw degree 881 — ρ = 0.97829019 — David Renshaw degree 882 — ρ = 0.97824340 — David Renshaw degree 883 — ρ = 0.97827056 — David Renshaw degree 884 — ρ = 0.97830892 — David Renshaw degree 885 — ρ = 0.97829226 — David Renshaw degree 886 — ρ = 0.97829159 — David Renshaw degree 887 — ρ = 0.97825614 — David Renshaw degree 888 — ρ = 0.97828686 — David Renshaw degree 889 — ρ = 0.97826934 — David Renshaw degree 890 — ρ = 0.97831888 — David Renshaw degree 891 — ρ = 0.97836401 — David Renshaw degree 892 — ρ = 0.97835052 — David Renshaw degree 893 — ρ = 0.97844381 — David Renshaw degree 894 — ρ = 0.97841151 — David Renshaw degree 895 — ρ = 0.97840259 — David Renshaw degree 896 — ρ = 0.97841756 — David Renshaw degree 897 — ρ = 0.97841340 — David Renshaw degree 898 — ρ = 0.97844889 — David Renshaw degree 899 — ρ = 0.97839763 — David Renshaw degree 900 — ρ = 0.97839385 — David Renshaw degree 901 — ρ = 0.97842628 — David Renshaw degree 902 — ρ = 0.97845894 — David Renshaw degree 903 — ρ = 0.97838828 — David Renshaw degree 904 — ρ = 0.97837191 — David Renshaw degree 905 — ρ = 0.97835340 — David Renshaw degree 906 — ρ = 0.97832637 — David Renshaw degree 907 — ρ = 0.97838354 — David Renshaw degree 908 — ρ = 0.97844656 — David Renshaw degree 909 — ρ = 0.97843887 — David Renshaw degree 910 — ρ = 0.97840692 — David Renshaw degree 911 — ρ = 0.97842247 — David Renshaw degree 912 — ρ = 0.97836463 — David Renshaw degree 913 — ρ = 0.97839270 — David Renshaw degree 914 — ρ = 0.97840475 — David Renshaw degree 915 — ρ = 0.97839314 — David Renshaw degree 916 — ρ = 0.97838563 — David Renshaw degree 917 — ρ = 0.97836331 — David Renshaw degree 918 — ρ = 0.97837664 — David Renshaw degree 919 — ρ = 0.97832862 — David Renshaw degree 920 — ρ = 0.97838309 — David Renshaw degree 921 — ρ = 0.97843521 — David Renshaw degree 922 — ρ = 0.97840996 — David Renshaw degree 923 — ρ = 0.97840552 — David Renshaw degree 924 — ρ = 0.97843064 — David Renshaw degree 925 — ρ = 0.97836716 — David Renshaw degree 926 — ρ = 0.97837723 — David Renshaw degree 927 — ρ = 0.97838539 — David Renshaw degree 928 — ρ = 0.97840373 — David Renshaw degree 929 — ρ = 0.97838878 — David Renshaw degree 930 — ρ = 0.97836839 — David Renshaw degree 931 — ρ = 0.97836851 — David Renshaw degree 932 — ρ = 0.97836661 — David Renshaw degree 933 — ρ = 0.97840170 — David Renshaw degree 934 — ρ = 0.97840575 — David Renshaw degree 935 — ρ = 0.97841454 — David Renshaw degree 936 — ρ = 0.97840623 — David Renshaw degree 937 — ρ = 0.97844762 — David Renshaw degree 938 — ρ = 0.97849703 — David Renshaw degree 939 — ρ = 0.97855192 — David Renshaw degree 940 — ρ = 0.97856516 — David Renshaw degree 941 — ρ = 0.97857192 — David Renshaw degree 942 — ρ = 0.97857086 — David Renshaw degree 943 — ρ = 0.97862941 — David Renshaw degree 944 — ρ = 0.97867860 — David Renshaw degree 945 — ρ = 0.97867687 — David Renshaw degree 946 — ρ = 0.97867413 — David Renshaw degree 947 — ρ = 0.97870739 — David Renshaw degree 948 — ρ = 0.97870230 — David Renshaw degree 949 — ρ = 0.97871545 — David Renshaw degree 950 — ρ = 0.97868562 — David Renshaw degree 951 — ρ = 0.97871771 — David Renshaw degree 952 — ρ = 0.97872256 — David Renshaw degree 953 — ρ = 0.97872004 — David Renshaw degree 954 — ρ = 0.97873465 — David Renshaw degree 955 — ρ = 0.97870269 — David Renshaw degree 956 — ρ = 0.97869191 — David Renshaw degree 957 — ρ = 0.97869832 — David Renshaw degree 958 — ρ = 0.97871210 — David Renshaw degree 959 — ρ = 0.97870365 — David Renshaw degree 960 — ρ = 0.97868242 — David Renshaw degree 961 — ρ = 0.97862477 — David Renshaw degree 962 — ρ = 0.97866177 — David Renshaw degree 963 — ρ = 0.97869575 — David Renshaw degree 964 — ρ = 0.97863473 — David Renshaw degree 965 — ρ = 0.97867316 — David Renshaw degree 966 — ρ = 0.97864138 — David Renshaw degree 967 — ρ = 0.97856488 — David Renshaw degree 968 — ρ = 0.97853495 — David Renshaw degree 969 — ρ = 0.97853749 — David Renshaw degree 970 — ρ = 0.97855631 — David Renshaw degree 971 — ρ = 0.97852817 — David Renshaw degree 972 — ρ = 0.97850996 — David Renshaw degree 973 — ρ = 0.97842104 — David Renshaw degree 974 — ρ = 0.97840122 — David Renshaw degree 975 — ρ = 0.97836052 — David Renshaw degree 976 — ρ = 0.97839018 — David Renshaw degree 977 — ρ = 0.97832058 — David Renshaw degree 978 — ρ = 0.97831452 — David Renshaw degree 979 — ρ = 0.97826799 — David Renshaw degree 980 — ρ = 0.97829311 — David Renshaw degree 981 — ρ = 0.97831547 — David Renshaw degree 982 — ρ = 0.97836908 — David Renshaw degree 983 — ρ = 0.97838776 — David Renshaw degree 984 — ρ = 0.97841395 — David Renshaw degree 985 — ρ = 0.97843193 — David Renshaw degree 986 — ρ = 0.97846332 — David Renshaw degree 987 — ρ = 0.97841077 — David Renshaw degree 988 — ρ = 0.97847515 — David Renshaw degree 989 — ρ = 0.97839625 — David Renshaw degree 990 — ρ = 0.97843499 — David Renshaw degree 991 — ρ = 0.97850282 — David Renshaw degree 992 — ρ = 0.97844891 — David Renshaw degree 993 — ρ = 0.97845353 — David Renshaw degree 994 — ρ = 0.97842480 — David Renshaw degree 995 — ρ = 0.97845797 — David Renshaw degree 996 — ρ = 0.97845833 — David Renshaw degree 997 — ρ = 0.97848822 — David Renshaw degree 998 — ρ = 0.97853038 — David Renshaw degree 999 — ρ = 0.97856254 — David Renshaw degree 1000 — ρ = 0.97859548 — David Renshaw degree 1001 — ρ = 0.97863268 — David Renshaw degree 1002 — ρ = 0.97865692 — David Renshaw degree 1003 — ρ = 0.97860094 — David Renshaw degree 1004 — ρ = 0.97857284 — David Renshaw degree 1005 — ρ = 0.97668700 — David Renshaw degree 1006 — ρ = 0.97686666 — David Renshaw degree 1007 — ρ = 0.97677725 — David Renshaw degree 1008 — ρ = 0.97702595 — David Renshaw degree 1009 — ρ = 0.97663683 — David Renshaw degree 1010 — ρ = 0.97864904 — David Renshaw degree 1011 — ρ = 0.97861499 — David Renshaw degree 1012 — ρ = 0.97855951 — David Renshaw degree 1013 — ρ = 0.97860652 — David Renshaw degree 1014 — ρ = 0.97853938 — David Renshaw degree 1015 — ρ = 0.97853570 — David Renshaw degree 1016 — ρ = 0.97850723 — David Renshaw degree 1017 — ρ = 0.97851042 — David Renshaw degree 1018 — ρ = 0.97852188 — David Renshaw degree 1019 — ρ = 0.97855734 — David Renshaw degree 1020 — ρ = 0.97729298 — David Renshaw degree 1021 — ρ = 0.97852667 — David Renshaw degree 1022 — ρ = 0.97856084 — David Renshaw degree 1023 — ρ = 0.97856147 — David Renshaw degree 1024 — ρ = 0.97851825 — David Renshaw degree 1025 — ρ = 0.97854467 — David Renshaw degree 1026 — ρ = 0.97855960 — David Renshaw degree 1027 — ρ = 0.97850996 — David Renshaw degree 1028 — ρ = 0.97848000 — David Renshaw degree 1029 — ρ = 0.97851062 — David Renshaw degree 1030 — ρ = 0.97853113 — David Renshaw degree 1031 — ρ = 0.97851577 — David Renshaw degree 1032 — ρ = 0.97844189 — David Renshaw degree 1033 — ρ = 0.97847746 — David Renshaw degree 1034 — ρ = 0.97844693 — David Renshaw degree 1035 — ρ = 0.97845812 — David Renshaw degree 1036 — ρ = 0.97845225 — David Renshaw degree 1037 — ρ = 0.97848226 — David Renshaw degree 1038 — ρ = 0.97850456 — David Renshaw degree 1039 — ρ = 0.97850633 — David Renshaw degree 1040 — ρ = 0.97858826 — David Renshaw degree 1041 — ρ = 0.97858896 — David Renshaw degree 1042 — ρ = 0.97864831 — David Renshaw degree 1043 — ρ = 0.97864770 — David Renshaw degree 1044 — ρ = 0.97863770 — David Renshaw degree 1045 — ρ = 0.97870732 — David Renshaw degree 1046 — ρ = 0.97871239 — David Renshaw degree 1047 — ρ = 0.97869835 — David Renshaw degree 1048 — ρ = 0.97871160 — David Renshaw degree 1049 — ρ = 0.97877784 — David Renshaw degree 1050 — ρ = 0.97877579 — David Renshaw degree 1051 — ρ = 0.97874703 — David Renshaw degree 1052 — ρ = 0.97870859 — David Renshaw degree 1053 — ρ = 0.97876401 — David Renshaw degree 1054 — ρ = 0.97871654 — David Renshaw degree 1055 — ρ = 0.97869910 — David Renshaw degree 1056 — ρ = 0.97868595 — David Renshaw degree 1057 — ρ = 0.97868096 — David Renshaw degree 1058 — ρ = 0.97867732 — David Renshaw degree 1059 — ρ = 0.97865530 — David Renshaw degree 1060 — ρ = 0.97863638 — David Renshaw degree 1061 — ρ = 0.97862205 — David Renshaw degree 1062 — ρ = 0.97860531 — David Renshaw degree 1063 — ρ = 0.97862000 — David Renshaw degree 1064 — ρ = 0.97862292 — David Renshaw degree 1065 — ρ = 0.97935944 — David Renshaw degree 1066 — ρ = 0.97858376 — David Renshaw degree 1067 — ρ = 0.97855611 — David Renshaw degree 1068 — ρ = 0.97852101 — David Renshaw degree 1069 — ρ = 0.97851236 — David Renshaw degree 1070 — ρ = 0.97852585 — David Renshaw degree 1071 — ρ = 0.97851038 — David Renshaw degree 1072 — ρ = 0.97851144 — David Renshaw degree 1073 — ρ = 0.97849050 — David Renshaw degree 1074 — ρ = 0.97847327 — David Renshaw degree 1075 — ρ = 0.97847890 — David Renshaw degree 1076 — ρ = 0.97848215 — David Renshaw degree 1077 — ρ = 0.97848152 — David Renshaw degree 1078 — ρ = 0.97889592 — David Renshaw degree 1079 — ρ = 0.97839416 — David Renshaw degree 1080 — ρ = 0.97843507 — David Renshaw degree 1081 — ρ = 0.97843999 — David Renshaw degree 1082 — ρ = 0.97842704 — David Renshaw degree 1083 — ρ = 0.97843086 — David Renshaw degree 1084 — ρ = 0.97839176 — David Renshaw degree 1085 — ρ = 0.97832837 — David Renshaw degree 1086 — ρ = 0.97830448 — David Renshaw degree 1087 — ρ = 0.97830695 — David Renshaw degree 1088 — ρ = 0.97819419 — David Renshaw degree 1089 — ρ = 0.97822563 — David Renshaw degree 1090 — ρ = 0.97883641 — David Renshaw degree 1091 — ρ = 0.97821056 — David Renshaw degree 1092 — ρ = 0.97824185 — David Renshaw degree 1093 — ρ = 0.97818859 — David Renshaw degree 1094 — ρ = 0.97822637 — David Renshaw degree 1095 — ρ = 0.97861193 — David Renshaw degree 1096 — ρ = 0.97872805 — David Renshaw degree 1097 — ρ = 0.97825237 — David Renshaw degree 1098 — ρ = 0.97826074 — David Renshaw degree 1099 — ρ = 0.97820634 — David Renshaw degree 1100 — ρ = 0.97830115 — David Renshaw degree 1101 — ρ = 0.97819856 — David Renshaw degree 1102 — ρ = 0.97819787 — David Renshaw degree 1103 — ρ = 0.97824629 — David Renshaw degree 1104 — ρ = 0.97830406 — David Renshaw degree 1105 — ρ = 0.97825831 — David Renshaw degree 1106 — ρ = 0.97825487 — David Renshaw degree 1107 — ρ = 0.97828368 — David Renshaw degree 1108 — ρ = 0.97823737 — David Renshaw degree 1109 — ρ = 0.97827520 — David Renshaw degree 1110 — ρ = 0.97826249 — David Renshaw degree 1111 — ρ = 0.97822482 — David Renshaw degree 1112 — ρ = 0.97822731 — David Renshaw degree 1113 — ρ = 0.97826299 — David Renshaw degree 1114 — ρ = 0.97823786 — David Renshaw degree 1115 — ρ = 0.97823093 — David Renshaw degree 1116 — ρ = 0.97820970 — David Renshaw degree 1117 — ρ = 0.97817404 — David Renshaw degree 1118 — ρ = 0.97816756 — David Renshaw degree 1119 — ρ = 0.97824921 — David Renshaw degree 1120 — ρ = 0.97823252 — David Renshaw degree 1121 — ρ = 0.97824619 — David Renshaw degree 1122 — ρ = 0.97824095 — David Renshaw degree 1123 — ρ = 0.97826389 — David Renshaw degree 1124 — ρ = 0.97825683 — David Renshaw degree 1125 — ρ = 0.97825397 — David Renshaw degree 1126 — ρ = 0.97827566 — David Renshaw degree 1127 — ρ = 0.97826751 — David Renshaw degree 1128 — ρ = 0.97824899 — David Renshaw degree 1129 — ρ = 0.97829602 — David Renshaw degree 1130 — ρ = 0.97826614 — David Renshaw degree 1131 — ρ = 0.97823676 — David Renshaw degree 1132 — ρ = 0.97825831 — David Renshaw degree 1133 — ρ = 0.97826220 — David Renshaw degree 1134 — ρ = 0.97827140 — David Renshaw degree 1135 — ρ = 0.97826666 — David Renshaw degree 1136 — ρ = 0.97825243 — David Renshaw degree 1137 — ρ = 0.97824877 — David Renshaw degree 1138 — ρ = 0.97823424 — David Renshaw degree 1139 — ρ = 0.97814275 — David Renshaw degree 1140 — ρ = 0.97814411 — David Renshaw degree 1141 — ρ = 0.97809848 — David Renshaw degree 1142 — ρ = 0.97811735 — David Renshaw degree 1143 — ρ = 0.97810274 — David Renshaw degree 1144 — ρ = 0.97811582 — David Renshaw degree 1145 — ρ = 0.97809880 — David Renshaw degree 1146 — ρ = 0.97808993 — David Renshaw degree 1147 — ρ = 0.97808024 — David Renshaw degree 1148 — ρ = 0.97805550 — David Renshaw degree 1149 — ρ = 0.97803339 — David Renshaw degree 1150 — ρ = 0.97803450 — David Renshaw degree 1151 — ρ = 0.97822974 — David Renshaw degree 1152 — ρ = 0.97847506 — David Renshaw degree 1153 — ρ = 0.97826171 — David Renshaw degree 1154 — ρ = 0.97853885 — David Renshaw degree 1155 — ρ = 0.97850712 — David Renshaw degree 1156 — ρ = 0.97871066 — David Renshaw degree 1157 — ρ = 0.97822488 — David Renshaw degree 1158 — ρ = 0.97823155 — David Renshaw degree 1159 — ρ = 0.97815983 — David Renshaw degree 1160 — ρ = 0.97819664 — David Renshaw degree 1161 — ρ = 0.97819385 — David Renshaw degree 1162 — ρ = 0.97820833 — David Renshaw degree 1163 — ρ = 0.97820415 — David Renshaw degree 1164 — ρ = 0.97824880 — David Renshaw degree 1165 — ρ = 0.97826098 — David Renshaw degree 1166 — ρ = 0.97820222 — David Renshaw degree 1167 — ρ = 0.97820391 — David Renshaw degree 1168 — ρ = 0.97817591 — David Renshaw degree 1169 — ρ = 0.97818445 — David Renshaw degree 1170 — ρ = 0.97816474 — David Renshaw degree 1171 — ρ = 0.97819008 — David Renshaw degree 1172 — ρ = 0.97822759 — David Renshaw degree 1173 — ρ = 0.97824129 — David Renshaw degree 1174 — ρ = 0.97833755 — David Renshaw degree 1175 — ρ = 0.97837899 — David Renshaw degree 1176 — ρ = 0.97839770 — David Renshaw degree 1177 — ρ = 0.97841174 — David Renshaw degree 1178 — ρ = 0.97840183 — David Renshaw degree 1179 — ρ = 0.97842391 — David Renshaw degree 1180 — ρ = 0.97844890 — David Renshaw degree 1181 — ρ = 0.97846985 — David Renshaw degree 1182 — ρ = 0.97848984 — David Renshaw degree 1183 — ρ = 0.97853140 — David Renshaw degree 1184 — ρ = 0.97857967 — David Renshaw degree 1185 — ρ = 0.97861995 — David Renshaw degree 1186 — ρ = 0.97862913 — David Renshaw degree 1187 — ρ = 0.97867058 — David Renshaw degree 1188 — ρ = 0.97862858 — David Renshaw degree 1189 — ρ = 0.97862246 — David Renshaw degree 1190 — ρ = 0.97809295 — David Renshaw degree 1191 — ρ = 0.97824497 — David Renshaw degree 1192 — ρ = 0.97811365 — David Renshaw degree 1193 — ρ = 0.97813168 — David Renshaw degree 1194 — ρ = 0.97813060 — David Renshaw degree 1195 — ρ = 0.97816980 — David Renshaw degree 1196 — ρ = 0.97817310 — David Renshaw degree 1197 — ρ = 0.97817110 — David Renshaw degree 1198 — ρ = 0.97812254 — David Renshaw degree 1199 — ρ = 0.97808644 — David Renshaw degree 1200 — ρ = 0.97803180 — David Renshaw degree 1201 — ρ = 0.97803464 — David Renshaw degree 1202 — ρ = 0.97802071 — David Renshaw degree 1203 — ρ = 0.97803234 — David Renshaw degree 1204 — ρ = 0.97803322 — David Renshaw degree 1205 — ρ = 0.97804172 — David Renshaw degree 1206 — ρ = 0.97869214 — David Renshaw degree 1207 — ρ = 0.97801916 — David Renshaw degree 1208 — ρ = 0.97845700 — David Renshaw degree 1209 — ρ = 0.97872811 — David Renshaw degree 1210 — ρ = 0.97870423 — David Renshaw degree 1211 — ρ = 0.97869167 — David Renshaw degree 1212 — ρ = 0.97867324 — David Renshaw degree 1213 — ρ = 0.97865467 — David Renshaw degree 1214 — ρ = 0.97861737 — David Renshaw degree 1215 — ρ = 0.97856020 — David Renshaw degree 1216 — ρ = 0.97863161 — David Renshaw degree 1217 — ρ = 0.97856443 — David Renshaw degree 1218 — ρ = 0.97858858 — David Renshaw degree 1219 — ρ = 0.97856634 — David Renshaw degree 1220 — ρ = 0.97857615 — David Renshaw degree 1221 — ρ = 0.97857432 — David Renshaw degree 1222 — ρ = 0.97852449 — David Renshaw degree 1223 — ρ = 0.97861952 — David Renshaw degree 1224 — ρ = 0.97861419 — David Renshaw degree 1225 — ρ = 0.97860690 — David Renshaw degree 1226 — ρ = 0.97857002 — David Renshaw degree 1227 — ρ = 0.97853915 — David Renshaw degree 1228 — ρ = 0.97854570 — David Renshaw degree 1229 — ρ = 0.97846287 — David Renshaw degree 1230 — ρ = 0.97860048 — David Renshaw degree 1231 — ρ = 0.97857278 — David Renshaw degree 1232 — ρ = 0.97854740 — David Renshaw degree 1233 — ρ = 0.97852686 — David Renshaw degree 1234 — ρ = 0.97943260 — David Renshaw degree 1235 — ρ = 0.97847259 — David Renshaw degree 1236 — ρ = 0.97845701 — David Renshaw degree 1237 — ρ = 0.97852237 — David Renshaw degree 1238 — ρ = 0.97850741 — David Renshaw degree 1239 — ρ = 0.97848193 — David Renshaw degree 1240 — ρ = 0.97847331 — David Renshaw degree 1241 — ρ = 0.97846026 — David Renshaw degree 1242 — ρ = 0.97844040 — David Renshaw degree 1243 — ρ = 0.97827513 — David Renshaw degree 1244 — ρ = 0.97827881 — David Renshaw degree 1245 — ρ = 0.97830112 — David Renshaw degree 1246 — ρ = 0.97823851 — David Renshaw degree 1247 — ρ = 0.97821493 — David Renshaw degree 1248 — ρ = 0.97822824 — David Renshaw degree 1249 — ρ = 0.97831364 — David Renshaw degree 1250 — ρ = 0.97827084 — David Renshaw degree 1251 — ρ = 0.97824976 — David Renshaw degree 1252 — ρ = 0.97823044 — David Renshaw degree 1253 — ρ = 0.97822405 — David Renshaw degree 1254 — ρ = 0.97821463 — David Renshaw degree 1255 — ρ = 0.97820637 — David Renshaw degree 1256 — ρ = 0.97826992 — David Renshaw degree 1257 — ρ = 0.97825139 — David Renshaw degree 1258 — ρ = 0.97822991 — David Renshaw degree 1259 — ρ = 0.97822045 — David Renshaw degree 1260 — ρ = 0.97817871 — David Renshaw degree 1261 — ρ = 0.97817347 — David Renshaw degree 1262 — ρ = 0.97814563 — David Renshaw degree 1263 — ρ = 0.97811294 — David Renshaw degree 1264 — ρ = 0.97810752 — David Renshaw degree 1265 — ρ = 0.97810223 — David Renshaw degree 1266 — ρ = 0.97812705 — David Renshaw degree 1267 — ρ = 0.97815029 — David Renshaw degree 1268 — ρ = 0.97815611 — David Renshaw degree 1269 — ρ = 0.97816309 — David Renshaw degree 1270 — ρ = 0.97817812 — David Renshaw degree 1271 — ρ = 0.97816952 — David Renshaw degree 1272 — ρ = 0.97843281 — David Renshaw degree 1273 — ρ = 0.97889228 — David Renshaw degree 1274 — ρ = 0.97842823 — David Renshaw degree 1275 — ρ = 0.97842028 — David Renshaw degree 1276 — ρ = 0.97842223 — David Renshaw degree 1277 — ρ = 0.97841649 — David Renshaw degree 1278 — ρ = 0.97849241 — David Renshaw degree 1279 — ρ = 0.97849830 — David Renshaw degree 1280 — ρ = 0.97847044 — David Renshaw degree 1281 — ρ = 0.97847610 — David Renshaw degree 1282 — ρ = 0.97841721 — David Renshaw degree 1283 — ρ = 0.97816224 — David Renshaw degree 1284 — ρ = 0.97814202 — David Renshaw degree 1285 — ρ = 0.97813858 — David Renshaw degree 1286 — ρ = 0.97917703 — David Renshaw degree 1287 — ρ = 0.97822210 — David Renshaw degree 1288 — ρ = 0.97819975 — David Renshaw degree 1289 — ρ = 0.97821080 — David Renshaw degree 1290 — ρ = 0.97821280 — David Renshaw degree 1291 — ρ = 0.97810408 — David Renshaw degree 1292 — ρ = 0.97821601 — David Renshaw degree 1293 — ρ = 0.97826408 — David Renshaw degree 1294 — ρ = 0.97825972 — David Renshaw degree 1295 — ρ = 0.97827171 — David Renshaw degree 1296 — ρ = 0.97825129 — David Renshaw degree 1297 — ρ = 0.97819178 — David Renshaw degree 1298 — ρ = 0.97818907 — David Renshaw degree 1299 — ρ = 0.98079670 — David Renshaw degree 1300 — ρ = 0.97833758 — David Renshaw degree 1301 — ρ = 0.97836813 — David Renshaw degree 1302 — ρ = 0.97836376 — David Renshaw degree 1303 — ρ = 0.97830162 — David Renshaw degree 1304 — ρ = 0.97829566 — David Renshaw degree 1305 — ρ = 0.97833426 — David Renshaw degree 1306 — ρ = 0.97836414 — David Renshaw degree 1307 — ρ = 0.97836790 — David Renshaw degree 1308 — ρ = 0.97829264 — David Renshaw degree 1309 — ρ = 0.97835726 — David Renshaw degree 1310 — ρ = 0.97841660 — David Renshaw degree 1311 — ρ = 0.97841790 — David Renshaw degree 1312 — ρ = 0.97857881 — David Renshaw degree 1313 — ρ = 0.97842150 — David Renshaw degree 1314 — ρ = 0.97841911 — David Renshaw degree 1315 — ρ = 0.97844348 — David Renshaw degree 1316 — ρ = 0.97839614 — David Renshaw degree 1317 — ρ = 0.97838760 — David Renshaw degree 1318 — ρ = 0.97836026 — David Renshaw degree 1319 — ρ = 0.97843817 — David Renshaw degree 1320 — ρ = 0.97844952 — David Renshaw degree 1321 — ρ = 0.97844240 — David Renshaw degree 1322 — ρ = 0.97840442 — David Renshaw degree 1323 — ρ = 0.97840013 — David Renshaw degree 1324 — ρ = 0.97839443 — David Renshaw degree 1325 — ρ = 0.97841719 — David Renshaw degree 1326 — ρ = 0.97842742 — David Renshaw degree 1327 — ρ = 0.97840064 — David Renshaw degree 1328 — ρ = 0.97838209 — David Renshaw degree 1329 — ρ = 0.97837038 — David Renshaw degree 1330 — ρ = 0.97837816 — David Renshaw degree 1331 — ρ = 0.97821789 — David Renshaw degree 1332 — ρ = 0.97834045 — David Renshaw degree 1333 — ρ = 0.97831262 — David Renshaw degree 1334 — ρ = 0.97830500 — David Renshaw degree 1335 — ρ = 0.97827981 — David Renshaw degree 1336 — ρ = 0.97830261 — David Renshaw degree 1337 — ρ = 0.97943940 — David Renshaw degree 1338 — ρ = 0.97949697 — David Renshaw degree 1339 — ρ = 0.97941012 — David Renshaw degree 1340 — ρ = 0.97837520 — David Renshaw degree 1341 — ρ = 0.97823689 — David Renshaw degree 1342 — ρ = 0.97821727 — David Renshaw degree 1343 — ρ = 0.97834911 — David Renshaw degree 1344 — ρ = 0.97839743 — David Renshaw degree 1345 — ρ = 0.97844457 — David Renshaw degree 1346 — ρ = 0.97834155 — David Renshaw degree 1347 — ρ = 0.97841528 — David Renshaw degree 1348 — ρ = 0.97842992 — David Renshaw degree 1349 — ρ = 0.97847831 — David Renshaw degree 1350 — ρ = 0.97836375 — David Renshaw degree 1351 — ρ = 0.97870745 — David Renshaw degree 1352 — ρ = 0.97838062 — David Renshaw degree 1353 — ρ = 0.97832606 — David Renshaw degree 1354 — ρ = 0.97833538 — David Renshaw degree 1355 — ρ = 0.97833202 — David Renshaw degree 1356 — ρ = 0.97838121 — David Renshaw degree 1357 — ρ = 0.97780488 — David Renshaw degree 1358 — ρ = 0.97776947 — David Renshaw degree 1359 — ρ = 0.97772397 — David Renshaw degree 1360 — ρ = 0.97770925 — David Renshaw degree 1361 — ρ = 0.97774070 — David Renshaw degree 1362 — ρ = 0.97779128 — David Renshaw degree 1363 — ρ = 0.97783760 — David Renshaw degree 1364 — ρ = 0.97819380 — David Renshaw degree 1365 — ρ = 0.97785216 — David Renshaw degree 1366 — ρ = 0.97787699 — David Renshaw degree 1367 — ρ = 0.97785272 — David Renshaw degree 1368 — ρ = 0.97785877 — David Renshaw degree 1369 — ρ = 0.97786716 — David Renshaw degree 1370 — ρ = 0.97790139 — David Renshaw degree 1371 — ρ = 0.97791468 — David Renshaw degree 1372 — ρ = 0.97788365 — David Renshaw degree 1373 — ρ = 0.97791139 — David Renshaw degree 1374 — ρ = 0.97784609 — David Renshaw degree 1375 — ρ = 0.97783969 — David Renshaw degree 1376 — ρ = 0.97782906 — David Renshaw degree 1377 — ρ = 0.97851168 — David Renshaw degree 1378 — ρ = 0.97789556 — David Renshaw degree 1379 — ρ = 0.97792317 — David Renshaw degree 1380 — ρ = 0.97790291 — David Renshaw degree 1381 — ρ = 0.97793406 — David Renshaw degree 1382 — ρ = 0.97787589 — David Renshaw degree 1383 — ρ = 0.97789182 — David Renshaw degree 1384 — ρ = 0.97787171 — David Renshaw degree 1385 — ρ = 0.97787375 — David Renshaw degree 1386 — ρ = 0.97790492 — David Renshaw degree 1387 — ρ = 0.97791693 — David Renshaw degree 1388 — ρ = 0.97796380 — David Renshaw degree 1389 — ρ = 0.97793603 — David Renshaw degree 1390 — ρ = 0.97838570 — David Renshaw degree 1391 — ρ = 0.97823390 — David Renshaw degree 1392 — ρ = 0.97803901 — David Renshaw degree 1393 — ρ = 0.97826362 — David Renshaw degree 1394 — ρ = 0.97809454 — David Renshaw degree 1395 — ρ = 0.97812068 — David Renshaw degree 1396 — ρ = 0.97813543 — David Renshaw degree 1397 — ρ = 0.97810013 — David Renshaw degree 1398 — ρ = 0.97810818 — David Renshaw degree 1399 — ρ = 0.97794700 — David Renshaw degree 1400 — ρ = 0.97792859 — David Renshaw degree 1401 — ρ = 0.97802497 — David Renshaw degree 1402 — ρ = 0.97799485 — David Renshaw degree 1403 — ρ = 0.97899927 — David Renshaw degree 1404 — ρ = 0.97809564 — David Renshaw degree 1405 — ρ = 0.97810594 — David Renshaw degree 1406 — ρ = 0.97801600 — David Renshaw degree 1407 — ρ = 0.97817333 — David Renshaw degree 1408 — ρ = 0.97813913 — David Renshaw degree 1409 — ρ = 0.97824261 — David Renshaw degree 1410 — ρ = 0.97821349 — David Renshaw degree 1411 — ρ = 0.97826698 — David Renshaw degree 1412 — ρ = 0.97825518 — David Renshaw degree 1413 — ρ = 0.97826213 — David Renshaw degree 1414 — ρ = 0.97829277 — David Renshaw degree 1415 — ρ = 0.97822613 — David Renshaw degree 1416 — ρ = 0.97928975 — David Renshaw degree 1417 — ρ = 0.97835986 — David Renshaw degree 1418 — ρ = 0.97841513 — David Renshaw degree 1419 — ρ = 0.97840688 — David Renshaw degree 1420 — ρ = 0.97847433 — David Renshaw degree 1421 — ρ = 0.97853677 — David Renshaw degree 1422 — ρ = 0.97851335 — David Renshaw degree 1423 — ρ = 0.97855505 — David Renshaw degree 1424 — ρ = 0.97855656 — David Renshaw degree 1425 — ρ = 0.97856052 — David Renshaw degree 1426 — ρ = 0.97857645 — David Renshaw degree 1427 — ρ = 0.97855315 — David Renshaw degree 1428 — ρ = 0.97856899 — David Renshaw degree 1429 — ρ = 0.97859868 — David Renshaw degree 1430 — ρ = 0.97855426 — David Renshaw degree 1431 — ρ = 0.97851499 — David Renshaw degree 1432 — ρ = 0.97849035 — David Renshaw degree 1433 — ρ = 0.97845981 — David Renshaw degree 1434 — ρ = 0.97845449 — David Renshaw degree 1435 — ρ = 0.97846963 — David Renshaw degree 1436 — ρ = 0.97849635 — David Renshaw degree 1437 — ρ = 0.97846788 — David Renshaw degree 1438 — ρ = 0.97843846 — David Renshaw degree 1439 — ρ = 0.97840442 — David Renshaw degree 1440 — ρ = 0.97844761 — David Renshaw degree 1441 — ρ = 0.97837596 — David Renshaw degree 1442 — ρ = 0.97838695 — David Renshaw degree 1443 — ρ = 0.97842573 — David Renshaw degree 1444 — ρ = 0.97843602 — David Renshaw degree 1445 — ρ = 0.97844750 — David Renshaw degree 1446 — ρ = 0.97846906 — David Renshaw degree 1447 — ρ = 0.97844158 — David Renshaw degree 1448 — ρ = 0.97846312 — David Renshaw degree 1449 — ρ = 0.97849322 — David Renshaw degree 1450 — ρ = 0.97849211 — David Renshaw degree 1451 — ρ = 0.97855778 — David Renshaw degree 1452 — ρ = 0.97852420 — David Renshaw degree 1453 — ρ = 0.97849436 — David Renshaw degree 1454 — ρ = 0.97851731 — David Renshaw degree 1455 — ρ = 0.97859742 — David Renshaw degree 1456 — ρ = 0.97857836 — David Renshaw degree 1457 — ρ = 0.97857376 — David Renshaw degree 1458 — ρ = 0.97856520 — David Renshaw degree 1459 — ρ = 0.97853055 — David Renshaw degree 1460 — ρ = 0.97853608 — David Renshaw degree 1461 — ρ = 0.97850982 — David Renshaw degree 1462 — ρ = 0.97852278 — David Renshaw degree 1463 — ρ = 0.97854368 — David Renshaw degree 1464 — ρ = 0.97853579 — David Renshaw degree 1465 — ρ = 0.97852196 — David Renshaw degree 1466 — ρ = 0.97852132 — David Renshaw degree 1467 — ρ = 0.97853549 — David Renshaw degree 1468 — ρ = 0.97844795 — David Renshaw degree 1469 — ρ = 0.97851696 — David Renshaw degree 1470 — ρ = 0.97844695 — David Renshaw degree 1471 — ρ = 0.97848732 — David Renshaw degree 1472 — ρ = 0.97850122 — David Renshaw degree 1473 — ρ = 0.97846243 — David Renshaw degree 1474 — ρ = 0.97846092 — David Renshaw degree 1475 — ρ = 0.97846768 — David Renshaw degree 1476 — ρ = 0.97816623 — David Renshaw degree 1477 — ρ = 0.97819444 — David Renshaw degree 1478 — ρ = 0.97812507 — David Renshaw degree 1479 — ρ = 0.97814686 — David Renshaw degree 1480 — ρ = 0.97832732 — David Renshaw degree 1481 — ρ = 0.97858850 — David Renshaw degree 1482 — ρ = 0.97832220 — David Renshaw degree 1483 — ρ = 0.97837280 — David Renshaw degree 1484 — ρ = 0.97826744 — David Renshaw degree 1485 — ρ = 0.97823958 — David Renshaw degree 1486 — ρ = 0.97823008 — David Renshaw degree 1487 — ρ = 0.97825353 — David Renshaw degree 1488 — ρ = 0.97805431 — David Renshaw degree 1489 — ρ = 0.97822920 — David Renshaw degree 1490 — ρ = 0.97814703 — David Renshaw degree 1491 — ρ = 0.97806531 — David Renshaw degree 1492 — ρ = 0.97797938 — David Renshaw degree 1493 — ρ = 0.97793329 — David Renshaw degree 1494 — ρ = 0.97790014 — David Renshaw degree 1495 — ρ = 0.97798557 — David Renshaw degree 1496 — ρ = 0.97798419 — David Renshaw degree 1497 — ρ = 0.97804275 — David Renshaw degree 1498 — ρ = 0.97806237 — David Renshaw degree 1499 — ρ = 0.97808065 — David Renshaw degree 1500 — ρ = 0.97808845 — David Renshaw degree 1507 — ρ = 0.97855785 — David Renshaw degree 1520 — ρ = 0.97723302 — David Renshaw degree 1533 — ρ = 0.97837501 — David Renshaw degree 1546 — ρ = 0.97730848 — David Renshaw degree 1559 — ρ = 0.97795590 — David Renshaw degree 1572 — ρ = 0.97741044 — David Renshaw degree 1585 — ρ = 0.97872508 — David Renshaw degree 1598 — ρ = 0.97693372 — David Renshaw degree 1600 — ρ = 0.97796431 — David Renshaw degree 1611 — ρ = 0.97624263 — David Renshaw degree 1624 — ρ = 0.97771012 — David Renshaw degree 1637 — ρ = 0.97872505 — David Renshaw degree 1650 — ρ = 0.97844043 — David Renshaw degree 1663 — ρ = 0.97820601 — David Renshaw degree 1676 — ρ = 0.97856552 — David Renshaw degree 1689 — ρ = 0.97789134 — David Renshaw degree 1702 — ρ = 0.97852956 — David Renshaw degree 1715 — ρ = 0.97802494 — David Renshaw degree 1728 — ρ = 0.97835661 — David Renshaw degree 1741 — ρ = 0.97760916 — David Renshaw degree 1754 — ρ = 0.97893345 — David Renshaw degree 1767 — ρ = 0.97767193 — David Renshaw degree 1780 — ρ = 0.97875400 — David Renshaw degree 1793 — ρ = 0.97799768 — David Renshaw degree 1800 — ρ = 0.97817344 — David Renshaw degree 1806 — ρ = 0.97931684 — David Renshaw degree 1819 — ρ = 0.97916649 — David Renshaw degree 1832 — ρ = 0.97928254 — David Renshaw degree 1845 — ρ = 0.97950060 — David Renshaw degree 1858 — ρ = 0.97690503 — David Renshaw degree 1871 — ρ = 0.97665921 — David Renshaw degree 1884 — ρ = 0.97801336 — David Renshaw degree 1897 — ρ = 0.97858771 — David Renshaw degree 1910 — ρ = 0.97855604 — David Renshaw degree 1923 — ρ = 0.97628537 — David Renshaw degree 1936 — ρ = 0.97732255 — David Renshaw degree 1949 — ρ = 0.97867107 — David Renshaw degree 1962 — ρ = 0.97807229 — David Renshaw degree 1975 — ρ = 0.97741791 — David Renshaw degree 1988 — ρ = 0.97865604 — David Renshaw degree 2001 — ρ = 0.97785412 — David Renshaw degree 2002 — ρ = 0.97770980 — David Renshaw degree 2005 — ρ = 0.97858242 — David Renshaw degree 2014 — ρ = 0.97836914 — David Renshaw degree 2027 — ρ = 0.97765175 — David Renshaw degree 2038 — ρ = 0.97778352 — Ethan Ackelsberg degree 2040 — ρ = 0.97868152 — David Renshaw degree 2053 — ρ = 0.97891128 — David Renshaw degree 2066 — ρ = 0.97780638 — David Renshaw degree 2079 — ρ = 0.97838886 — David Renshaw degree 2092 — ρ = 0.97844994 — David Renshaw degree 2105 — ρ = 0.97815255 — David Renshaw degree 2118 — ρ = 0.97758371 — David Renshaw degree 2131 — ρ = 0.97870772 — David Renshaw degree 2144 — ρ = 0.97749218 — David Renshaw degree 2157 — ρ = 0.97771940 — David Renshaw degree 2170 — ρ = 0.97808440 — David Renshaw degree 2183 — ρ = 0.97806597 — David Renshaw degree 2196 — ρ = 0.97883052 — David Renshaw degree 2200 — ρ = 0.97811367 — David Renshaw degree 2209 — ρ = 0.97781462 — David Renshaw degree 2222 — ρ = 0.97911205 — David Renshaw degree 2235 — ρ = 0.97983526 — David Renshaw degree 2248 — ρ = 0.97934174 — David Renshaw degree 2261 — ρ = 0.97905844 — David Renshaw degree 2274 — ρ = 0.97879713 — David Renshaw degree 2287 — ρ = 0.97770368 — David Renshaw degree 2300 — ρ = 0.97859592 — David Renshaw degree 2313 — ρ = 0.97855133 — David Renshaw degree 2326 — ρ = 0.97739849 — David Renshaw degree 2339 — ρ = 0.97719402 — David Renshaw degree 2352 — ρ = 0.97793087 — David Renshaw degree 2365 — ρ = 0.97828775 — David Renshaw degree 2378 — ρ = 0.97840667 — David Renshaw degree 2391 — ρ = 0.97769563 — David Renshaw degree 2404 — ρ = 0.97939140 — David Renshaw degree 2417 — ρ = 0.97995854 — David Renshaw degree 2430 — ρ = 0.97890940 — David Renshaw degree 2443 — ρ = 0.97857276 — David Renshaw degree 2456 — ρ = 0.97830976 — David Renshaw degree 2469 — ρ = 0.97846632 — David Renshaw degree 2482 — ρ = 0.97896896 — David Renshaw degree 2495 — ρ = 0.97863354 — David Renshaw degree 2500 — ρ = 0.97828996 — David Renshaw degree 2508 — ρ = 0.97853958 — David Renshaw degree 2521 — ρ = 0.97904886 — David Renshaw degree 2534 — ρ = 0.97854882 — David Renshaw degree 2547 — ρ = 0.97886307 — David Renshaw degree 2560 — ρ = 0.97896714 — David Renshaw degree 2573 — ρ = 0.97958278 — David Renshaw degree 2586 — ρ = 0.97907181 — David Renshaw degree 2599 — ρ = 0.97910350 — David Renshaw degree 2612 — ρ = 0.97923810 — David Renshaw degree 2625 — ρ = 0.97833523 — David Renshaw degree 2638 — ρ = 0.97916238 — David Renshaw degree 2651 — ρ = 0.97888099 — David Renshaw degree 2664 — ρ = 0.97806189 — David Renshaw degree 2677 — ρ = 0.97753092 — David Renshaw degree 2690 — ρ = 0.97801354 — David Renshaw degree 2703 — ρ = 0.97823453 — David Renshaw degree 2716 — ρ = 0.97888242 — David Renshaw degree 2719 — ρ = 0.97857838 — David Renshaw degree 2729 — ρ = 0.97799145 — David Renshaw degree 2742 — ρ = 0.97821226 — David Renshaw degree 2755 — ρ = 0.97969659 — David Renshaw degree 2768 — ρ = 0.98056278 — David Renshaw degree 2781 — ρ = 0.97943039 — David Renshaw degree 2794 — ρ = 0.97943909 — David Renshaw degree 2807 — ρ = 0.97851455 — David Renshaw degree 2820 — ρ = 0.97851294 — David Renshaw degree 2833 — ρ = 0.97884496 — David Renshaw degree 2846 — ρ = 0.97790138 — David Renshaw degree 2859 — ρ = 0.97849080 — David Renshaw degree 2872 — ρ = 0.97767587 — David Renshaw degree 2885 — ρ = 0.97787424 — David Renshaw degree 2898 — ρ = 0.97858023 — David Renshaw degree 2911 — ρ = 0.97832053 — David Renshaw degree 2924 — ρ = 0.97873640 — David Renshaw degree 2937 — ρ = 0.97896801 — David Renshaw degree 2950 — ρ = 0.97906953 — David Renshaw degree 2963 — ρ = 0.97824972 — David Renshaw degree 2976 — ρ = 0.97924113 — David Renshaw degree 2989 — ρ = 0.97922245 — David Renshaw degree 3002 — ρ = 0.97909418 — David Renshaw degree 3015 — ρ = 0.97855779 — David Renshaw degree 3028 — ρ = 0.97944601 — David Renshaw degree 3041 — ρ = 0.97887779 — David Renshaw degree 3054 — ρ = 0.97867304 — David Renshaw degree 3067 — ρ = 0.97866381 — David Renshaw degree 3080 — ρ = 0.97934421 — David Renshaw degree 3093 — ρ = 0.97828537 — David Renshaw degree 3106 — ρ = 0.97890729 — David Renshaw degree 3119 — ρ = 0.97915886 — David Renshaw degree 3132 — ρ = 0.97830144 — David Renshaw degree 3145 — ρ = 0.97778804 — David Renshaw degree 3158 — ρ = 0.97823989 — David Renshaw degree 3171 — ρ = 0.97852769 — David Renshaw degree 3184 — ρ = 0.97803952 — David Renshaw degree 3197 — ρ = 0.97875435 — David Renshaw degree 3210 — ρ = 0.97782227 — David Renshaw degree 3223 — ρ = 0.97914863 — David Renshaw degree 3236 — ρ = 0.97804007 — David Renshaw degree 3249 — ρ = 0.97779523 — David Renshaw degree 3262 — ρ = 0.97811522 — David Renshaw degree 3275 — ρ = 0.97805738 — David Renshaw degree 3288 — ρ = 0.97838132 — David Renshaw degree 3301 — ρ = 0.97782745 — David Renshaw degree 3314 — ρ = 0.97809723 — David Renshaw degree 3327 — ρ = 0.97871592 — David Renshaw degree 4092 — ρ = 0.97773680 — David Renshaw degree 4095 — ρ = 0.97831112 — David Renshaw degree 9972 — ρ = 0.97735451 — David Renshaw degree 10000 — ρ = 0.97763324 — David Renshaw degree 10006 — ρ = 0.97766488 — David Renshaw degree 10807 — ρ = 0.97837488 — Matthew Robert Ballard degree 11007 — ρ = 0.97833278 — Matthew Robert Ballard degree 16338 — ρ = 0.97752024 — Ethan Ackelsberg degree 16380 — ρ = 0.97730010 — David Renshaw degree 16383 — ρ = 0.97836855 — David Renshaw degree 20010 — ρ = 0.97758140 — David Renshaw degree 28560 — ρ = 0.97835158 — David Renshaw degree 28854 — ρ = 0.97830250 — David Renshaw degree 32718 — ρ = 0.97772892 — Ethan Ackelsberg degree 32748 — ρ = 0.97757601 — David Renshaw degree 32767 — ρ = 0.97841859 — David Renshaw degree 50000 — ρ = 0.97839421 — David Renshaw degree 56278 — ρ = 0.97835947 — David Renshaw degree 65518 — ρ = 0.97756147 — Ethan Ackelsberg degree 65520 — ρ = 0.97753028 — David Renshaw degree 65535 — ρ = 0.97838954 — David Renshaw degree 65536 — ρ = 0.97754491 — David Renshaw degree 100000 — ρ = 0.97836439 — David Renshaw degree 100002 — ρ = 0.97748930 — David Renshaw degree 109002 — ρ = 0.97840397 — Matthew Robert Ballard degree 110002 — ρ = 0.97839853 — Matthew Robert Ballard degree 117051 — ρ = 0.97837028 — David Renshaw degree 131070 — ρ = 0.97758819 — Ethan Ackelsberg degree 131071 — ρ = 0.97837923 — David Renshaw degree 200000 — ρ = 0.97836706 — David Renshaw degree 262110 — ρ = 0.97708052 — Ethan Ackelsberg degree 262143 — ρ = 0.97836925 — David Renshaw degree 262146 — ρ = 0.97762472 — David Renshaw degree 300006 — ρ = 0.97759882 — David Renshaw degree 524286 — ρ = 0.97757370 — David Renshaw degree 524287 — ρ = 0.97835766 — David Renshaw degree 999982 — ρ = 0.97752846 — David Renshaw degree 1000000 — ρ = 0.97837777 — David Renshaw 10⁰10¹10²10³10⁴10⁵10⁶ 0.950.960.970.980.991.00 degree n ρ = ‖P‖₁ / √(n+1)

The best known ratio at each degree (log scale). The question is whether this frontier reaches 1 as the degree grows. Browse all 2371 polynomials.

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