cube files
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Second largest coset solved yet of actual Rubik's positions
Submitted by mdlazreg on Fri, 04/02/2010 - 05:43.
After solving the trivial coset [All positions that have the same orientation as the START position] published here Largest coset solved yet of actual Rubik's positions
I went ahead and calculated the full distribution of the flipped coset [All positions that have the same orientation as Reid's position (The only known 26q*)].
Enjoy:
I went ahead and calculated the full distribution of the flipped coset [All positions that have the same orientation as Reid's position (The only known 26q*)].
Enjoy:
Depth Trivial coset Flipped coset 0 1 0 1 4 0 2 10 0 3 36 0 4 123 0 5 368 0 6 1336 0 7 4928 0 8 16839 0 9 63920 0 10 257888 1760 11 1019992 18224 12 4317941 197532 13 20240924 1815184 14 102343680 15384080 15 568081384 131093200 16 3458261494 1145536560 17 22676234692 10093242072 18 153062896516 87423177494 19 935739718492 679679845284 20 3412399473195 3167012823402 21 3865485362804 4130549509620 22 1259308558965 1572739006442 23 3845400456 7880604404 24 12 727 25 0 12 26 0 3 Total 9656672256000 9656672256000
Depth 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 Total
4 L3R3U3R2B1F3U2R3 0 0 0 0 0 0 0 0 0 0 136 584 3696 22140 124536 753006 5018450 36088270 265746664 1781083754 6916741170 7925455138 2566579748 10811508 0 0 0 19508428800
1 L3F1R1D1L1B1D2L1D1F1 0 0 0 0 0 0 0 0 0 0 36 284 2259 16472 114949 812059 5933626 44245804 325954126 2088284649 7277918204 7613599758 2144291197 7255374 3 0 0 19508428800
2 R3D2B1F3R2D3L3R3 0 0 0 0 0 0 0 0 0 0 32 244 1536 9039 60214 433800 3391046 27574234 224094134 1630153839 6829004977 8085741878 2697662456 10301366 5 0 0 19508428800
2 R3D2B1F3R2D3L1R3 0 0 0 0 0 0 0 0 0 0 32 204 1118 7300 52990 396552 3193936 26513142 218313128 1602085390 6770892658 8113301690 2761760536 11910122 2 0 0 19508428800
2 L3D2B1F3R2U3L3R3F2 0 0 0 0 0 0 0 0 0 0 32 148 1288 8289 58711 428270 3373392 27505533 224172811 1631751647 6824800969 8083565989 2701807196 10954524 1 0 0 19508428800
1 L3R3U3F1L3B1F3D1F3R3 0 0 0 0 0 0 0 0 0 0 20 158 1612 13523 98067 706929 5316890 40839729 309436805 2037463468 7268807314 7668222555 2170553692 6968038 0 0 0 19508428800
2 R3D2B1F3R2D3L3R3D3 0 0 0 0 0 0 0 0 0 0 16 184 1120 7152 51697 401364 3267291 27171254 223253899 1630496948 6827106923 8085653013 2700533454 10484485 0 0 0 19508428800
1 L3R3U3F1L3B1F3D1F3R1 0 0 0 0 0 0 0 0 0 0 16 144 1464 12371 93248 692359 5271975 40669670 308214667 2025453770 7234980929 7679558295 2205652096 7827791 5 0 0 19508428800
2 R3F2D1U3R2F3L1R1B3F3 0 0 0 0 0 0 0 0 0 0 16 104 904 6143 46952 382408 3201914 26908492 222502100 1629068524 6820134324 8086764013 2708328190 11084716 0 0 0 19508428800
2 L3R3U3R2B1F3U2R3B2 0 0 0 0 0 0 0 0 0 0 12 72 766 5322 43792 366550 3140884 26669052 221762358 1630921524 6842679204 8086175968 2686587384 10075912 0 0 0 19508428800
2 R3U3F3L1B1F3D1F1D1R3 0 0 0 0 0 0 0 0 0 0 8 60 552 4268 38788 341842 3006446 26020380 218664366 1616012378 6804192200 8100364138 2728312040 11471334 0 0 0 19508428800
1 R3B1D1F1L3R1D1R3U3R3 0 0 0 0 0 0 0 0 0 0 6 100 612 5142 42051 353928 3009425 25866767 216569910 1600252151 6767502764 8115261969 2767089631 12474343 1 0 0 19508428800
1 L3R3U3R2B1F3U2R3B2U1 0 0 0 0 0 0 0 0 0 0 6 88 560 4772 39569 348511 3004814 25923190 217641378 1614790932 6833384861 8103213812 2700143212 9933095 0 0 0 19508428800
1 L3R3U3R2B1F3U2R3U1 0 0 0 0 0 0 0 0 0 0 4 210 1250 9573 67481 488924 3743866 29792188 236611739 1679151186 6847744675 8033631082 2666045385 11141237 0 0 0 19508428800
1 L3U3R3U1L1B1D1L1F3R3 0 0 0 0 0 0 0 0 0 0 4 54 542 4950 43647 376988 3234997 27448591 226562542 1647868470 6834174624 8067699879 2690198044 10815468 0 0 0 19508428800
2 L3R3D3R2B1F3U2L3F2U2 0 0 0 0 0 0 0 0 0 0 4 36 428 4110 40535 354309 3100368 26586685 222081568 1635119921 6855387523 8082352727 2673603972 9796612 2 0 0 19508428800
2 L3R3U3R2B1F3U2R3D2 0 0 0 0 0 0 0 0 0 0 4 32 560 5272 47564 393746 3312722 27753290 227787430 1652477044 6843721334 8062739134 2679344786 10845882 0 0 0 19508428800
1 F3L3R1F1L2D1U3F2L3F1 0 0 0 0 0 0 0 0 0 0 4 20 212 2146 20031 190114 1816640 17103935 155570083 1268564347 6263080478 8450698438 3333726952 17655400 0 0 0 19508428800
1 R3U3B3U3B1F3L3B1D1R1 0 0 0 0 0 0 0 0 0 0 2 38 436 4027 36400 325566 2881329 25181102 213693533 1600276308 6830239326 8118857830 2707363374 9569529 0 0 0 19508428800
1 L3R3U3R2B1F3U2R3U1B2 0 0 0 0 0 0 0 0 0 0 2 34 424 4381 38444 334196 2918080 25369728 214668830 1604023830 6834756033 8114975610 2701832587 9506621 0 0 0 19508428800
1 F3R3F3L3F3D3L2B3U3R1 0 0 0 0 0 0 0 0 0 0 2 34 353 4224 37008 329208 2884198 25184917 213223773 1594558763 6804862295 8123665119 2733206771 10472135 0 0 0 19508428800
1 R3U3B3U3B1F3L3B1D1R3 0 0 0 0 0 0 0 0 0 0 2 24 306 3432 33240 303032 2727302 24253836 208443957 1577464214 6800848968 8142152519 2742160625 10037343 0 0 0 19508428800
1 L3B3D3L3D3F3L1F1D1R3 0 0 0 0 0 0 0 0 0 0 2 10 138 1693 16836 166107 1645020 15882271 147816998 1233386861 6248089410 8489059196 3356645996 15718262 0 0 0 19508428800
1 R3B3U3R3U3F3R1F1U1L1 0 0 0 0 0 0 0 0 0 0 2 8 130 1731 17151 171847 1680817 16136937 148858030 1231705999 6196277187 8486903797 3407381083 19294081 0 0 0 19508428800
2 R3D2B1F3R2D3L1R3D3 0 0 0 0 0 0 0 0 0 0 0 72 724 5458 43830 367044 3104465 26349621 219271832 1612432651 6785478949 8103072704 2746314593 11986850 7 0 0 19508428800
1 L3F1R1D1L1B1D2L1D1F3 0 0 0 0 0 0 0 0 0 0 0 66 1249 11327 87565 666615 5138778 40050988 306031613 2026176776 7256795385 7679997734 2186159808 7310894 2 0 0 19508428800
1 L3R3D3R2B1F3U2L3D2U3 0 0 0 0 0 0 0 0 0 0 0 56 402 4058 34526 313107 2758761 24349507 208379758 1573841549 6780930375 8144496386 2762110578 11209737 0 0 0 19508428800
4 R3D2B1F3R2D3L3R1F2U2 0 0 0 0 0 0 0 0 0 0 0 24 568 4196 37376 320176 2819488 24575850 209204130 1562373900 6697821884 8152417062 2844330940 14523192 14 0 0 19508428800
1 F3R3F2D1U3R2F1L3R1B3 0 0 0 0 0 0 0 0 0 0 0 24 356 3424 31676 292617 2662652 23820358 205934268 1566670518 6788436625 8152771776 2757148823 10655683 0 0 0 19508428800
1 L3R3U3R2B1F3U2R3F2U1 0 0 0 0 0 0 0 0 0 0 0 22 342 4449 38559 343848 2985440 25817151 216975946 1611567224 6828763726 8106439189 2705450387 10042517 0 0 0 19508428800
2 L3D2B1F3R2U3L3R1F2 0 0 0 0 0 0 0 0 0 0 0 20 632 4886 41560 349106 3011098 25753462 215979456 1600669918 6791957328 8116224778 2743224326 11212230 0 0 0 19508428800
2 R3D2B1F3R2D3F2L3R3U2 0 0 0 0 0 0 0 0 0 0 0 20 404 3536 36622 319836 2845502 24858132 211455502 1585703298 6796257202 8132824942 2743619168 10504636 0 0 0 19508428800
2 R3D2B1F3R2D3L1R1F2U2 0 0 0 0 0 0 0 0 0 0 0 16 512 4052 39094 333770 2918638 25178912 212752730 1586622496 6770312866 8130194752 2768190560 11880402 0 0 0 19508428800
2 R3D2B1F3R2D3B2L3R3 0 0 0 0 0 0 0 0 0 0 0 12 500 4376 40409 347851 3042918 26133250 219112877 1621387235 6845833319 8096610610 2686184377 9731066 0 0 0 19508428800
1 L3D2B3L3F2D1L1F1R1F3 0 0 0 0 0 0 0 0 0 0 0 12 174 1859 18546 182151 1754732 16641304 152698029 1256250806 6260168707 8464492046 3339574212 16646222 0 0 0 19508428800
4 R3D2B1F3R2D3L1R3F2U2 0 0 0 0 0 0 0 0 0 0 0 8 352 3290 33982 306732 2771504 24346906 208143704 1573188506 6794706964 8146387230 2748557894 9981728 0 0 0 19508428800
1 L3B3R1D2U1F1D1L1F1U2F3 0 0 0 0 0 0 0 0 0 0 0 8 280 3820 36769 326128 2873629 25156490 213281139 1589971902 6770592564 8126852723 2767430018 11903329 1 0 0 19508428800
2 R3D2B1F3R2D3L1R1D3F2 0 0 0 0 0 0 0 0 0 0 0 8 188 3616 40302 367408 3190896 27176286 224744870 1637245364 6811305446 8077725230 2714932698 11696488 0 0 0 19508428800
1 L3U3R3U2B3R2U3B2F3R3U2 0 0 0 0 0 0 0 0 0 0 0 8 154 1599 16576 166038 1648129 15922099 148216018 1231752740 6206072171 8487584660 3398261349 18787256 3 0 0 19508428800
1 B3L1R3B3L2D1U3F2R1F3U2 0 0 0 0 0 0 0 0 0 0 0 8 142 1722 18162 178209 1710408 16308010 150431610 1244576287 6247566103 8476327704 3354487975 16822460 0 0 0 19508428800
1 R3D2B1D3F1L3U3R3U3F1 0 0 0 0 0 0 0 0 0 0 0 8 124 1617 16714 167591 1629231 15646351 145287403 1213797099 6185416203 8506325941 3421864725 18275793 0 0 0 19508428800
1 R3U2F1U3B1L3D3R3D3B3U2 0 0 0 0 0 0 0 0 0 0 0 8 104 1430 14731 151878 1531333 15076886 142474551 1203872664 6178891259 8516669729 3431302422 18441805 0 0 0 19508428800
4 B3D3R1B1L3U3F3D3R3U1F3 0 0 0 0 0 0 0 0 0 0 0 8 48 768 7060 81986 908144 9702480 98954012 913755904 5488248616 8797295568 4166096520 33377686 0 0 0 19508428800
2 F3D1R3U3F3D3L3B1R1U3B3 0 0 0 0 0 0 0 0 0 0 0 8 32 528 6944 81624 910478 9767006 99951630 927001860 5566072096 8790169190 4087273218 27194184 2 0 0 19508428800
1 L3U1R1U2F1R2U1B1F2R3 0 0 0 0 0 0 0 0 0 0 0 6 140 1982 19219 183888 1759976 16616868 152160735 1252403644 6261278088 8468691121 3338996241 16316891 1 0 0 19508428800
1 F3D1L1D1R1F3U1B3U2L3 0 0 0 0 0 0 0 0 0 0 0 6 140 1650 17161 168747 1654690 15830183 146823158 1221419449 6190197708 8497972343 3415521543 18822022 0 0 0 19508428800
1 B3L1R3B3L2D1U3F2R1F1U2 0 0 0 0 0 0 0 0 0 0 0 6 138 1806 18299 178331 1725499 16419731 151060024 1248032911 6254553423 8472874904 3346857017 16706711 0 0 0 19508428800
1 B3R3B2D3U1R2B1L1R3B1 0 0 0 0 0 0 0 0 0 0 0 6 126 1457 15863 161472 1601066 15505905 145164509 1219408704 6229374159 8503093184 3378058677 16043672 0 0 0 19508428800
1 F3R1F2D1U3R2F3L3R1F1 0 0 0 0 0 0 0 0 0 0 0 6 112 1451 15827 161777 1601239 15484527 144655717 1214375905 6212746932 8507936814 3395194573 16253920 0 0 0 19508428800
1 F3R1F2D1U3R2F3L3R1F3U1 0 0 0 0 0 0 0 0 0 0 0 6 88 1167 13227 141307 1458230 14581579 139382901 1191809567 6194380486 8531588364 3418979468 16092410 0 0 0 19508428800
1 F3R1F2D1U3R2F3L3R1F3U2 0 0 0 0 0 0 0 0 0 0 0 6 76 1090 13306 144305 1481620 14716857 140143073 1195417689 6201094598 8528198166 3411481727 15736287 0 0 0 19508428800
1 F3L3F3R3U3F2R1B1U2R3 0 0 0 0 0 0 0 0 0 0 0 4 167 1718 18820 185469 1806197 16936389 154211310 1257855260 6232324653 8460332043 3365853253 18903517 0 0 0 19508428800
1 R3D2U1B1D2R1D3L1B1R3F3 0 0 0 0 0 0 0 0 0 0 0 4 121 1534 16552 169420 1672693 16070957 148799426 1235206773 6227648450 8485708417 3376077158 17057295 0 0 0 19508428800
1 R3B1F2D1R2F1U2L1D1R3U3 0 0 0 0 0 0 0 0 0 0 0 4 118 1430 16151 161792 1608103 15608579 145864142 1222252182 6223058626 8499974994 3383667260 16215419 0 0 0 19508428800
1 L3D2F1D3B1R3U3L3U3B1U3 0 0 0 0 0 0 0 0 0 0 0 4 108 1590 17818 170498 1666468 15920129 147483940 1223126047 6183397159 8495480792 3421648905 19515340 2 0 0 19508428800
1 L3D2B3D1F3R1U1L1U1F3U2 0 0 0 0 0 0 0 0 0 0 0 4 106 1798 18464 184209 1757726 16621924 151684268 1244907877 6217845591 8473921710 3382908243 18576878 2 0 0 19508428800
2 B3U1R3B3L1D1F1U1R1D3F3 0 0 0 0 0 0 0 0 0 0 0 4 68 712 7700 86958 952290 10049944 101721696 935241410 5577146162 8781915906 4074386484 26919466 0 0 0 19508428800
1 B3R3F2D1U3R2F1L3R1F1U1 0 0 0 0 0 0 0 0 0 0 0 2 127 1705 17446 172499 1678414 16048957 148705132 1237657658 6255707171 8484694470 3348106110 15639109 0 0 0 19508428800
1 L3D1R3B2F1R2D2U1F3R3 0 0 0 0 0 0 0 0 0 0 0 2 126 1786 18107 177924 1726614 16436212 151114175 1247728955 6254451770 8473472536 3346903608 16396985 0 0 0 19508428800
1 F3D3R3D3L3F1U3B1U2R3U3 0 0 0 0 0 0 0 0 0 0 0 2 114 1644 16931 171102 1660695 15913495 147172376 1224368927 6200217872 8495728503 3405146412 18030727 0 0 0 19508428800
1 R3U2B3U1F3L1D1R1D1F1 0 0 0 0 0 0 0 0 0 0 0 2 110 1536 16224 162586 1611125 15601572 145808491 1222588957 6234227003 8499927651 3372551446 15932096 1 0 0 19508428800
1 F3L3R1F1L2D1U3F2L3F3 0 0 0 0 0 0 0 0 0 0 0 2 98 1245 14282 148484 1509687 14929656 141544786 1200917906 6190822121 8520893552 3420323426 17323555 0 0 0 19508428800
1 R3B1F2D1R2F1U2L1D1R1 0 0 0 0 0 0 0 0 0 0 0 2 96 1375 15335 159352 1594848 15530814 145401344 1219990430 6221254508 8502441890 3385948269 16090537 0 0 0 19508428800
8 L3R3B3L2F2D1U3R3B3F3 0 0 0 0 0 0 0 0 0 0 0 0 11152 124032 762312 4211432 23104558 125681192 665649794 3056633044 7677782428 6563464376 1386903800 4100312 353 12 3 19508428800
4 L3R3D3R2B1F3U2L3D2U2 0 0 0 0 0 0 0 0 0 0 0 0 388 3148 29930 270062 2526200 22875716 200490070 1542298644 6757889182 8177359018 2793278620 11407812 10 0 0 19508428800
2 L3D2B1F3R2U3B2L3R3F2 0 0 0 0 0 0 0 0 0 0 0 0 212 3180 35990 339422 3024272 26182078 219289034 1615250140 6796562593 8100720095 2735302289 11719485 10 0 0 19508428800
1 L3D2B3D1F3R1U1L1U1F3U3 0 0 0 0 0 0 0 0 0 0 0 0 137 1808 18978 178446 1712396 16084978 148086070 1226136558 6203228676 8493884562 3401168142 17928048 1 0 0 19508428800
1 F3L3B2D3U1R2F1L3R1F3 0 0 0 0 0 0 0 0 0 0 0 0 136 1877 18659 178226 1716136 16286035 149735215 1237778745 6229173449 8483243572 3373570805 16725945 0 0 0 19508428800
8 B3U3L1B1R3D3F3U3L3D1F3U3 0 0 0 0 0 0 0 0 0 0 0 0 96 576 6944 79520 896402 9567524 97861342 908031976 5463867666 8800691076 4191581938 35843728 12 0 0 19508428800
8 B3D3R1B1L3U3F3D3R3U1F3U3 0 0 0 0 0 0 0 0 0 0 0 0 96 608 8488 89236 955616 9952844 99992762 918033856 5494144540 8792378764 4159112876 33759092 22 0 0 19508428800
1 L3D2U2B3D3L1R3B1D2U3R3 0 0 0 0 0 0 0 0 0 0 0 0 58 662 7456 84766 934995 9929889 100938219 930530931 5559801029 8785503235 4092532643 28164917 0 0 0 19508428800
2 R3B2U1L1R2D1L2B3L3U2R3 0 0 0 0 0 0 0 0 0 0 0 0 56 680 7768 91520 991901 10334829 103939145 950023381 5627107745 8769180732 4022167785 24583258 0 0 0 19508428800
2 L3B1R1B3U1F2R3U3F1R1F3 0 0 0 0 0 0 0 0 0 0 0 0 48 644 8102 88113 959969 10090299 101974016 937910501 5594777012 8780257019 4056495253 25867824 0 0 0 19508428800
2 L3B3R3B1D3F2R1D1F3R3F3 0 0 0 0 0 0 0 0 0 0 0 0 40 616 7618 83878 922450 9814408 99921296 924066692 5545121286 8791835054 4108241710 28413752 0 0 0 19508428800
4 L3D2F1L2F1D1L1U1F1R1F3 0 0 0 0 0 0 0 0 0 0 0 0 30 496 7438 87962 966168 10148628 102103334 935619064 5577731552 8782692360 4073405878 25665890 0 0 0 19508428800
2 F3R2D1L3F2U3B3D3L3F3R3 0 0 0 0 0 0 0 0 0 0 0 0 28 600 7824 88434 962926 10136172 102241490 937342688 5579971246 8779730718 4071030886 26915788 0 0 0 19508428800
1 R3U1B1L3B3F1D1U2L3U3F1 0 0 0 0 0 0 0 0 0 0 0 0 28 560 7436 85042 940149 9929672 100773254 928978511 5559459587 8787471536 4093033946 27749079 0 0 0 19508428800
2 L3D3F1L1B2L1R1B2F3U1R3 0 0 0 0 0 0 0 0 0 0 0 0 24 452 6392 80904 912380 9766642 99819216 924492390 5548094198 8791550272 4105382190 28323740 0 0 0 19508428800
2 B3L3R3B3L2D1U3F2R3U2F3 0 0 0 0 0 0 0 0 0 0 0 0 24 472 7329 86002 948339 10087784 102181724 939813621 5599738686 8778440145 4051338298 25786376 0 0 0 19508428800
1 L3D2U2B1U1L3R1B3D1U2R3 0 0 0 0 0 0 0 0 0 0 0 0 18 408 6361 79602 910257 9810144 100095140 924588333 5535042622 8789557340 4118160002 30178573 0 0 0 19508428800
1 R3D3B3L1B1F3D2U3L1D1F1 0 0 0 0 0 0 0 0 0 0 0 0 8 364 6480 81596 925854 9877297 100520456 926713496 5544429764 8788115537 4108331838 29426110 0 0 0 19508428800
Total 0 0 0 0 0 0 0 0 0 0 1760 18224 197532 1815184 15384080 131093200 1145536560 10093242072 87423177494 679679845284 3167012823402 4130549509620 1572739006442 7880604404 727 12 3 9656672256000
