Magma V2.19-8 Tue Aug 20 2013 18:07:52 on localhost [Seed = 2362259047] Type ? for help. Type -D to quit. Loading file "10^2_141__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_141 geometric_solution 13.63125713 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 3 3 0132 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 -5 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.486483126515 1.518019493160 0 4 6 5 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.322067151801 0.920620747682 4 0 5 7 0132 0132 2103 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.237191926690 0.982614771392 4 0 8 0 3120 0321 0132 0132 0 0 0 0 0 0 0 0 -1 0 0 1 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 -5 0 0 5 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.808550278316 0.597398745478 2 1 9 3 0132 0132 0132 3120 0 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 4 -5 0 0 -5 5 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.165580913561 0.614375975632 2 10 1 9 2103 0132 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 -4 0 5 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.820996114200 0.638337239257 11 12 13 1 0132 0132 0132 0132 0 0 0 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 -4 0 4 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.072628105037 1.390457696865 10 10 2 14 2310 3012 0132 0132 0 0 1 0 0 0 0 0 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 0 -4 -2 3 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.544367177221 1.694908136832 14 12 11 3 1023 3012 3012 0132 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.331987829787 0.497766899882 5 13 14 4 3201 3201 2031 0132 0 0 0 0 0 1 0 -1 -1 0 0 1 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 -5 0 0 5 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229171260907 0.773175003973 7 5 7 13 1230 0132 3201 3201 0 1 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -3 0 2 1 0 1 0 -1 0 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828223817263 0.534831749633 6 8 12 14 0132 1230 1023 1230 0 0 1 0 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 0 -4 0 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037463286631 0.717230818839 8 6 11 13 1230 0132 1023 3120 0 0 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.037463286631 0.717230818839 12 10 9 6 3120 2310 2310 0132 0 0 1 0 0 0 0 0 0 0 1 -1 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 4 -4 0 -1 0 1 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536314052518 0.695228848433 11 8 7 9 3012 1023 0132 1302 0 0 0 1 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 4 -4 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.304369900087 0.901751708773 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_14' : negation(d['c_0101_10']), 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0101_4']), 'c_1001_13' : d['c_1001_13'], 'c_1001_12' : negation(d['c_0011_3']), 'c_1001_5' : negation(d['c_1001_13']), 'c_1001_4' : negation(d['c_1001_13']), 'c_1001_7' : negation(d['c_0011_10']), 'c_1001_6' : negation(d['c_0011_13']), 'c_1001_1' : negation(d['c_0011_3']), 'c_1001_0' : negation(d['c_0011_10']), 'c_1001_3' : negation(d['c_0101_12']), 'c_1001_2' : negation(d['c_0011_10']), 'c_1001_9' : negation(d['c_0101_13']), 'c_1001_8' : negation(d['c_0011_11']), 'c_1010_13' : negation(d['c_0011_13']), 'c_1010_12' : negation(d['c_0011_13']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_1001_13']), 'c_1010_14' : d['c_0101_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : negation(d['c_0101_10']), 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(d['1']), 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : negation(d['1']), 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_14' : d['c_0011_14'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_12']), 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_9'], 'c_1100_4' : negation(d['c_0101_3']), 'c_1100_7' : d['c_0101_9'], 'c_1100_6' : d['c_0011_9'], 'c_1100_1' : d['c_0011_9'], 'c_1100_0' : negation(d['c_0101_12']), 'c_1100_3' : negation(d['c_0101_12']), 'c_1100_2' : d['c_0101_9'], 'c_1100_14' : d['c_0101_9'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_3']), 'c_1100_11' : d['c_0101_13'], 'c_1100_10' : negation(d['c_0011_13']), 'c_1100_13' : d['c_0011_9'], 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : negation(d['c_0011_3']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : negation(d['c_0011_3']), 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : negation(d['c_0011_10']), 'c_1010_1' : negation(d['c_1001_13']), 'c_1010_0' : negation(d['c_0011_10']), 'c_1010_9' : negation(d['c_1001_13']), 'c_1010_8' : negation(d['c_0101_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0101_13']), 's_1_7' : d['1'], 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : d['c_0011_14'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_13'], 'c_0011_6' : negation(d['c_0011_11']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_14'], 'c_0110_10' : d['c_0011_13'], 'c_0110_13' : d['c_0011_14'], 'c_0110_12' : d['c_0011_14'], 'c_0110_14' : d['c_0101_13'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_12'], 's_2_14' : d['1'], 'c_0101_7' : d['c_0101_4'], 'c_0101_6' : d['c_0011_14'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : negation(d['c_0011_3']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_10']), 'c_0011_10' : d['c_0011_10'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_3']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : negation(d['c_0101_9']), 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : negation(d['c_0011_3']), 'c_0101_13' : d['c_0101_13']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_13, c_0011_14, c_0011_3, c_0011_9, c_0101_0, c_0101_10, c_0101_12, c_0101_13, c_0101_3, c_0101_4, c_0101_9, c_1001_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 457268281694282843773367/31162914776954599652167*c_1001_13^11 + 3700729383397771561069/120320134273955983213*c_1001_13^10 - 1350739064301277886195936/31162914776954599652167*c_1001_13^9 - 21051822663233695222879490/31162914776954599652167*c_1001_13^8 + 67934312240734260303861782/31162914776954599652167*c_1001_13^7 - 86391192292411506625398121/31162914776954599652167*c_1001_13^6 + 13474075336386094945369275/4451844968136371378881*c_1001_13^5 - 189901969700205499804093539/31162914776954599652167*c_1001_13^4 + 296643350355186309771313233/31162914776954599652167*c_1001_13^3 - 33132074226061092993310741/4451844968136371378881*c_1001_13^2 + 65910257708831426950249831/31162914776954599652167*c_1001_13 + 4723887355758653165321011/31162914776954599652167, c_0011_0 - 1, c_0011_10 - 5226024876/29194275803*c_1001_13^11 - 2109876651/4170610829*c_1001_13^10 + 2054861108/29194275803*c_1001_13^9 + 232829482110/29194275803*c_1001_13^8 - 611248277187/29194275803*c_1001_13^7 + 659033671503/29194275803*c_1001_13^6 - 114842188260/4170610829*c_1001_13^5 + 1725381584469/29194275803*c_1001_13^4 - 2425608167778/29194275803*c_1001_13^3 + 219789518412/4170610829*c_1001_13^2 - 268237932201/29194275803*c_1001_13 - 8481969371/29194275803, c_0011_11 + 1, c_0011_13 + 3124166237660/19881301821843*c_1001_13^11 + 454163744959/946728658183*c_1001_13^10 + 265657534493/6627100607281*c_1001_13^9 - 139163513013563/19881301821843*c_1001_13^8 + 111855900605584/6627100607281*c_1001_13^7 - 102423650679683/6627100607281*c_1001_13^6 + 18629800995409/946728658183*c_1001_13^5 - 312273793736503/6627100607281*c_1001_13^4 + 409740401301082/6627100607281*c_1001_13^3 - 81650638592305/2840185974549*c_1001_13^2 - 10032935731468/6627100607281*c_1001_13 - 2625205289041/6627100607281, c_0011_14 + 2113128604187/19881301821843*c_1001_13^11 + 217081680544/946728658183*c_1001_13^10 - 1886052064350/6627100607281*c_1001_13^9 - 96149028796187/19881301821843*c_1001_13^8 + 103437278613986/6627100607281*c_1001_13^7 - 130825068684825/6627100607281*c_1001_13^6 + 19884401168431/946728658183*c_1001_13^5 - 284133563882788/6627100607281*c_1001_13^4 + 453344311540531/6627100607281*c_1001_13^3 - 147450737439088/2840185974549*c_1001_13^2 + 74713826397757/6627100607281*c_1001_13 + 7372569692363/6627100607281, c_0011_3 - 217356414992/6627100607281*c_1001_13^11 - 74573455276/946728658183*c_1001_13^10 + 369781461765/6627100607281*c_1001_13^9 + 9749627795136/6627100607281*c_1001_13^8 - 29243687170239/6627100607281*c_1001_13^7 + 38225663549835/6627100607281*c_1001_13^6 - 5923915382626/946728658183*c_1001_13^5 + 82222999150858/6627100607281*c_1001_13^4 - 128079828972386/6627100607281*c_1001_13^3 + 14607043326774/946728658183*c_1001_13^2 - 21076819786692/6627100607281*c_1001_13 - 5494990984467/6627100607281, c_0011_9 + 1800539148512/6627100607281*c_1001_13^11 + 729228810516/946728658183*c_1001_13^10 - 702795489316/6627100607281*c_1001_13^9 - 80195594465465/6627100607281*c_1001_13^8 + 210859608040556/6627100607281*c_1001_13^7 - 220632287619196/6627100607281*c_1001_13^6 + 38406546167212/946728658183*c_1001_13^5 - 588266997055932/6627100607281*c_1001_13^4 + 826960791119492/6627100607281*c_1001_13^3 - 70878435799268/946728658183*c_1001_13^2 + 70471063293172/6627100607281*c_1001_13 + 5341896173596/6627100607281, c_0101_0 + 48144649213/946728658183*c_1001_13^11 + 33868866345/135246951169*c_1001_13^10 + 307387085549/946728658183*c_1001_13^9 - 2048308772256/946728658183*c_1001_13^8 + 1202660284514/946728658183*c_1001_13^7 + 4057345429306/946728658183*c_1001_13^6 - 179228596146/135246951169*c_1001_13^5 - 4020032836245/946728658183*c_1001_13^4 - 6229130034207/946728658183*c_1001_13^3 + 3133338040323/135246951169*c_1001_13^2 - 13053408962358/946728658183*c_1001_13 - 1428253568772/946728658183, c_0101_10 + 4074866059955/19881301821843*c_1001_13^11 + 505672530106/946728658183*c_1001_13^10 - 1545301167989/6627100607281*c_1001_13^9 - 182656845067094/19881301821843*c_1001_13^8 + 172395751823789/6627100607281*c_1001_13^7 - 197835996041727/6627100607281*c_1001_13^6 + 32802004063294/946728658183*c_1001_13^5 - 482893049341452/6627100607281*c_1001_13^4 + 709328402899371/6627100607281*c_1001_13^3 - 207656994329755/2840185974549*c_1001_13^2 + 98557484304162/6627100607281*c_1001_13 + 1682746729904/6627100607281, c_0101_12 + 208253330260/6627100607281*c_1001_13^11 + 55552377753/946728658183*c_1001_13^10 - 880595005943/6627100607281*c_1001_13^9 - 10100601697695/6627100607281*c_1001_13^8 + 32617966075663/6627100607281*c_1001_13^7 - 38757689595736/6627100607281*c_1001_13^6 + 6158820954205/946728658183*c_1001_13^5 - 89588685849067/6627100607281*c_1001_13^4 + 138120219180689/6627100607281*c_1001_13^3 - 14356287939696/946728658183*c_1001_13^2 + 30282837840834/6627100607281*c_1001_13 - 2178514634382/6627100607281, c_0101_13 + 37820823345/602463691571*c_1001_13^11 + 23297294589/86066241653*c_1001_13^10 + 155706989461/602463691571*c_1001_13^9 - 1679809389337/602463691571*c_1001_13^8 + 1866192032702/602463691571*c_1001_13^7 + 1112738402635/602463691571*c_1001_13^6 + 2829033743/86066241653*c_1001_13^5 - 5198499143853/602463691571*c_1001_13^4 + 434821452138/602463691571*c_1001_13^3 + 1566987251721/86066241653*c_1001_13^2 - 9245520190086/602463691571*c_1001_13 - 495039190679/602463691571, c_0101_3 - 64502794544/946728658183*c_1001_13^11 - 30727488050/135246951169*c_1001_13^10 - 26737970066/946728658183*c_1001_13^9 + 3082095953485/946728658183*c_1001_13^8 - 5793409701757/946728658183*c_1001_13^7 + 2688029275433/946728658183*c_1001_13^6 - 683221621208/135246951169*c_1001_13^5 + 16248830388579/946728658183*c_1001_13^4 - 16419957724871/946728658183*c_1001_13^3 - 194480884165/135246951169*c_1001_13^2 + 6899923864873/946728658183*c_1001_13 - 58939049018/946728658183, c_0101_4 - 108709804487/6627100607281*c_1001_13^11 - 78617047882/946728658183*c_1001_13^10 - 560582234774/6627100607281*c_1001_13^9 + 5352452141654/6627100607281*c_1001_13^8 - 1321802027697/6627100607281*c_1001_13^7 - 18428992216473/6627100607281*c_1001_13^6 + 2089466731054/946728658183*c_1001_13^5 + 1192429394976/6627100607281*c_1001_13^4 + 33387953445214/6627100607281*c_1001_13^3 - 13038787312680/946728658183*c_1001_13^2 + 57230762408104/6627100607281*c_1001_13 + 991475668860/6627100607281, c_0101_9 + 1004437183368/6627100607281*c_1001_13^11 + 479091875379/946728658183*c_1001_13^10 + 847438620516/6627100607281*c_1001_13^9 - 45890429940220/6627100607281*c_1001_13^8 + 93599045804582/6627100607281*c_1001_13^7 - 56435968926644/6627100607281*c_1001_13^6 + 11820448000574/946728658183*c_1001_13^5 - 254930735750550/6627100607281*c_1001_13^4 + 282530007771057/6627100607281*c_1001_13^3 - 2849109770937/946728658183*c_1001_13^2 - 104579234671501/6627100607281*c_1001_13 + 2694365132303/6627100607281, c_1001_13^12 + 2*c_1001_13^11 - 3*c_1001_13^10 - 45*c_1001_13^9 + 154*c_1001_13^8 - 210*c_1001_13^7 + 227*c_1001_13^6 - 429*c_1001_13^5 + 702*c_1001_13^4 - 590*c_1001_13^3 + 179*c_1001_13^2 + 12*c_1001_13 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 7.680 Total time: 7.900 seconds, Total memory usage: 193.28MB