Magma V2.19-8 Tue Aug 20 2013 17:58:11 on localhost [Seed = 2134821679] Type ? for help. Type -D to quit. Loading file "10^2_14__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_14 geometric_solution 12.00595117 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 3012 0132 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 0 0 0 1 -1 -1 0 1 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 0.375299076222 0.694785558920 0 0 5 4 0132 1230 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 -1 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 0.715597378692 0.795879605410 6 0 5 7 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.323856057029 0.665995711938 7 8 0 9 3120 0132 0132 0132 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 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 -0.110747264968 0.788024273420 10 10 1 11 0132 1302 0132 0132 1 1 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 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.917847819306 0.844548606078 2 9 12 1 2103 1302 0132 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 1 -1 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 0.641927554476 0.803308528111 2 7 11 8 0132 2103 0132 3120 1 1 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 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 1.292891519899 0.781626908902 11 6 2 3 0132 2103 0132 3120 0 1 1 0 0 0 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 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 0.830775107822 1.291745136551 6 3 10 9 3120 0132 2310 0321 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 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 0.491460555619 1.275086841311 12 8 3 5 0321 0321 0132 2031 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 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 0.524769011281 1.692923047950 4 8 12 4 0132 3201 0321 2031 1 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 0 0 0 0 0 0 0 0 0 0 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 0.114098455685 1.172965719109 7 12 4 6 0132 3120 0132 0132 1 1 0 1 0 0 -1 1 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 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574294523108 0.448199105100 9 11 10 5 0321 3120 0321 0132 1 1 0 1 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 1 0 -1 0 0 -1 1 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574294523108 0.448199105100 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : d['c_0101_0'], 'c_1001_7' : d['c_0011_0'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : d['c_0011_5'], 'c_1001_2' : d['c_0011_5'], 'c_1001_9' : d['c_0011_10'], 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : negation(d['c_0011_10']), 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : negation(d['1']), 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : negation(d['c_1001_1']), 'c_1100_3' : negation(d['c_1001_1']), 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_8']), 'c_1100_10' : negation(d['c_1001_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0101_0'], 'c_1010_0' : d['c_0011_5'], 'c_1010_9' : d['c_0011_5'], 'c_1010_8' : d['c_0011_5'], 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : d['1'], 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_8']), 's_1_7' : negation(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' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_0'], '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_0101_6'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : negation(d['c_0011_9']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_9']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : negation(d['c_0011_9']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_1']), 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : negation(d['c_0011_9'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_6, c_0101_8, c_1001_1, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 1255215441/168503312384*c_1001_11^7 - 5844220607/674013249536*c_1001_11^6 + 7684111139/245095727104*c_1001_11^5 + 74364099893/674013249536*c_1001_11^4 + 1481835955/21062914048*c_1001_11^3 + 13998150981/42125828096*c_1001_11^2 + 3688758035/10531457024*c_1001_11 + 3208856225/2632864256, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 260055/19359296*c_1001_11^7 - 705337/77437184*c_1001_11^6 + 1440245/28158976*c_1001_11^5 + 14401161/77437184*c_1001_11^4 + 107549/302489*c_1001_11^3 + 148873/4839824*c_1001_11^2 + 1144049/1209956*c_1001_11 + 447037/302489, c_0011_3 - 63651/9679648*c_1001_11^7 + 908173/38718592*c_1001_11^6 - 300793/14079488*c_1001_11^5 - 328711/38718592*c_1001_11^4 + 987623/19359296*c_1001_11^3 + 2261553/4839824*c_1001_11^2 + 26192/302489*c_1001_11 + 131155/302489, c_0011_5 + 93491/19359296*c_1001_11^7 - 1504253/77437184*c_1001_11^6 + 1113641/28158976*c_1001_11^5 + 524367/77437184*c_1001_11^4 - 72977/2419912*c_1001_11^3 - 76283/604978*c_1001_11^2 - 68269/1209956*c_1001_11 + 98531/302489, c_0011_9 - 250515/19359296*c_1001_11^7 + 216333/77437184*c_1001_11^6 - 1384441/28158976*c_1001_11^5 - 2072615/9679648*c_1001_11^4 - 6199379/19359296*c_1001_11^3 - 1399721/2419912*c_1001_11^2 - 1144059/1209956*c_1001_11 - 471308/302489, c_0101_0 - 1, c_0101_1 + 1293/2419912*c_1001_11^7 - 64755/9679648*c_1001_11^6 + 14343/3519872*c_1001_11^5 - 318889/4839824*c_1001_11^4 - 232931/2419912*c_1001_11^3 - 980255/4839824*c_1001_11^2 - 1150991/1209956*c_1001_11 - 417079/302489, c_0101_10 + 93491/19359296*c_1001_11^7 - 1504253/77437184*c_1001_11^6 + 1113641/28158976*c_1001_11^5 + 524367/77437184*c_1001_11^4 - 72977/2419912*c_1001_11^3 - 76283/604978*c_1001_11^2 + 1141687/1209956*c_1001_11 + 98531/302489, c_0101_6 + 250515/19359296*c_1001_11^7 - 216333/77437184*c_1001_11^6 + 1384441/28158976*c_1001_11^5 + 2072615/9679648*c_1001_11^4 + 6199379/19359296*c_1001_11^3 + 1399721/2419912*c_1001_11^2 + 1144059/1209956*c_1001_11 + 471308/302489, c_0101_8 - 93491/19359296*c_1001_11^7 + 1504253/77437184*c_1001_11^6 - 1113641/28158976*c_1001_11^5 - 524367/77437184*c_1001_11^4 + 72977/2419912*c_1001_11^3 + 76283/604978*c_1001_11^2 + 68269/1209956*c_1001_11 - 98531/302489, c_1001_1 - 83147/19359296*c_1001_11^7 + 986213/77437184*c_1001_11^6 - 998897/28158976*c_1001_11^5 - 5626591/77437184*c_1001_11^4 - 79977/1209956*c_1001_11^3 - 369991/4839824*c_1001_11^2 - 541361/604978*c_1001_11 - 515610/302489, c_1001_11^8 + 1/4*c_1001_11^7 + 65/16*c_1001_11^6 + 35/2*c_1001_11^5 + 45*c_1001_11^4 + 52*c_1001_11^3 + 128*c_1001_11^2 + 256*c_1001_11 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.290 seconds, Total memory usage: 32.09MB