Magma V2.19-8 Tue Aug 20 2013 18:09:51 on localhost [Seed = 3616959656] Type ? for help. Type -D to quit. Loading file "10^2_52__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_52 geometric_solution 13.96062194 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 2 3 0132 0132 1302 0132 1 1 1 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 1 0 -1 0 0 0 0 0 -2 0 2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.291259358881 1.167773946973 0 4 5 4 0132 0132 0132 1230 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 0 0 0 0 0 0 0 0 0 1 -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 0.403570308125 0.736598150414 0 0 7 6 2031 0132 0132 0132 1 1 0 1 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 -1 0 1 0 0 0 0 1 0 0 -1 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.798927353974 0.806179751201 8 9 0 7 0132 0132 0132 1230 1 1 0 1 0 -1 0 1 1 0 0 -1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 -2 0 0 2 -1 -1 0 2 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.230489203827 0.714971417231 1 1 10 11 3012 0132 0132 0132 0 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 1 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.663949939895 0.819986503616 12 10 13 1 0132 1230 0132 0132 0 1 1 0 0 0 0 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 0 0 0 0 0 0 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 0 0 0 -0.065510980223 1.072633906555 14 12 2 8 0132 1230 0132 1023 1 1 1 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 -1 -1 2 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 -0.366216649208 0.881330284812 3 13 8 2 3012 3012 0213 0132 1 1 1 0 0 0 0 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 0 0 0 2 0 -2 0 -2 0 0 2 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.524564610911 0.202215730529 3 7 14 6 0132 0213 3120 1023 1 1 1 0 0 0 0 0 -1 0 0 1 1 -1 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 2 0 0 -2 -2 2 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537450558616 0.482747618124 10 3 10 11 0132 0132 3012 2031 1 0 1 0 0 1 -1 0 0 0 0 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 -1 1 0 1 0 0 -1 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.301371551511 0.882193090902 9 9 5 4 0132 1230 3012 0132 0 0 0 1 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 -1 0 0 1 1 0 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.551688283149 0.696644393424 13 9 4 12 2031 1302 0132 2031 0 0 1 1 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 1 0 -1 0 0 -1 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 0.672715476248 0.758583891673 5 11 6 14 0132 1302 3012 2103 0 1 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 -1 1 0 -1 0 1 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 0.474457075480 0.746598543037 7 14 11 5 1230 2103 1302 0132 0 1 0 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.240004187368 1.063047432265 6 13 8 12 0132 2103 3120 2103 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 0 0 0 0 0 0 0 0 0 0 0 0 -2 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 0.411476432568 0.954041331308 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_14'], 'c_1001_14' : d['c_0011_13'], 'c_1001_11' : d['c_0101_10'], 'c_1001_10' : d['c_0011_12'], 'c_1001_13' : d['c_0011_14'], 'c_1001_12' : d['c_0011_14'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0101_4'], 'c_1001_7' : negation(d['c_0011_13']), 'c_1001_6' : d['c_0101_6'], 'c_1001_1' : d['c_0101_10'], 'c_1001_0' : d['c_0101_6'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_13']), 'c_1010_13' : d['c_1001_5'], 'c_1010_12' : d['c_1001_5'], 'c_1010_11' : d['c_0011_12'], 'c_1010_10' : d['c_0101_4'], 'c_1010_14' : negation(d['c_1001_5']), 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_0_14' : d['1'], 's_3_14' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_10'], 'c_0101_14' : d['c_0101_14'], 's_2_0' : d['1'], 's_2_1' : 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' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_2_14' : 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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_14' : d['c_0011_14'], 'c_1100_9' : negation(d['c_0011_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0101_11'], 'c_1100_4' : negation(d['c_1001_5']), 'c_1100_7' : d['c_0101_14'], 'c_1100_6' : d['c_0101_14'], 'c_1100_1' : d['c_0101_11'], 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : d['c_0101_14'], 'c_1100_14' : negation(d['c_0011_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_1001_5']), 'c_1100_10' : negation(d['c_1001_5']), 'c_1100_13' : d['c_0101_11'], 's_3_10' : d['1'], 's_3_13' : d['1'], 'c_1010_7' : d['c_0011_11'], 'c_1010_6' : d['c_0101_1'], 'c_1010_5' : d['c_0101_10'], 'c_1010_4' : d['c_0101_10'], 'c_1010_3' : negation(d['c_0011_10']), 'c_1010_2' : d['c_0101_6'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : d['c_0101_14'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(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_6']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_10']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0101_13' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_14']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_14'], 'c_0110_10' : d['c_0101_4'], 'c_0110_13' : d['c_0011_7'], 'c_0110_12' : d['c_0011_7'], 'c_0110_14' : d['c_0101_6'], 's_0_13' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0011_7' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 's_0_8' : negation(d['1']), 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_4'], 'c_0101_8' : d['c_0011_7'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_2'], 'c_1100_8' : negation(d['c_0101_14'])})} 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_12, c_0011_13, c_0011_14, c_0011_7, c_0101_1, c_0101_10, c_0101_11, c_0101_14, c_0101_2, c_0101_4, c_0101_6, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 19 Groebner basis: [ t - 19117919911012751/3025560071290880*c_1001_5^18 + 9157561486789107/189097504455680*c_1001_5^17 - 331052408814912953/1512780035645440*c_1001_5^16 + 123632052510842343/177974121840640*c_1001_5^15 - 5147197560173270007/3025560071290880*c_1001_5^14 + 10174649085270843019/3025560071290880*c_1001_5^13 - 16671037902438953587/3025560071290880*c_1001_5^12 + 11551605954923098087/1512780035645440*c_1001_5^11 - 27393408391243134621/3025560071290880*c_1001_5^10 + 96823496536159131/10432965763072*c_1001_5^9 - 1563415718263270083/189097504455680*c_1001_5^8 + 19374835741879038267/3025560071290880*c_1001_5^7 - 12990151080455976271/3025560071290880*c_1001_5^6 + 7363579425159634647/3025560071290880*c_1001_5^5 - 676439959289609883/605112014258176*c_1001_5^4 + 226900743345825689/605112014258176*c_1001_5^3 - 49701220224567421/756390017822720*c_1001_5^2 - 14456083199630799/3025560071290880*c_1001_5 + 7823113924398953/3025560071290880, c_0011_0 - 1, c_0011_10 - 3*c_1001_5^18 + 21*c_1001_5^17 - 87*c_1001_5^16 + 254*c_1001_5^15 - 574*c_1001_5^14 + 1057*c_1001_5^13 - 1631*c_1001_5^12 + 2164*c_1001_5^11 - 2500*c_1001_5^10 + 2542*c_1001_5^9 - 2285*c_1001_5^8 + 1807*c_1001_5^7 - 1255*c_1001_5^6 + 751*c_1001_5^5 - 380*c_1001_5^4 + 156*c_1001_5^3 - 46*c_1001_5^2 + 3*c_1001_5 + 4, c_0011_11 - 16*c_1001_5^18 + 95*c_1001_5^17 - 357*c_1001_5^16 + 940*c_1001_5^15 - 1931*c_1001_5^14 + 3243*c_1001_5^13 - 4555*c_1001_5^12 + 5536*c_1001_5^11 - 5818*c_1001_5^10 + 5383*c_1001_5^9 - 4357*c_1001_5^8 + 3026*c_1001_5^7 - 1838*c_1001_5^6 + 876*c_1001_5^5 - 338*c_1001_5^4 + 80*c_1001_5^3 + 21*c_1001_5^2 - 24*c_1001_5, c_0011_12 + 4*c_1001_5^18 - 27*c_1001_5^17 + 109*c_1001_5^16 - 310*c_1001_5^15 + 683*c_1001_5^14 - 1227*c_1001_5^13 + 1847*c_1001_5^12 - 2393*c_1001_5^11 + 2699*c_1001_5^10 - 2679*c_1001_5^9 + 2349*c_1001_5^8 - 1807*c_1001_5^7 + 1219*c_1001_5^6 - 704*c_1001_5^5 + 340*c_1001_5^4 - 131*c_1001_5^3 + 33*c_1001_5^2 + 2*c_1001_5 - 4, c_0011_13 + 2*c_1001_5^18 - 14*c_1001_5^17 + 58*c_1001_5^16 - 169*c_1001_5^15 + 381*c_1001_5^14 - 699*c_1001_5^13 + 1074*c_1001_5^12 - 1418*c_1001_5^11 + 1629*c_1001_5^10 - 1647*c_1001_5^9 + 1470*c_1001_5^8 - 1154*c_1001_5^7 + 793*c_1001_5^6 - 467*c_1001_5^5 + 231*c_1001_5^4 - 89*c_1001_5^3 + 24*c_1001_5^2 + 2*c_1001_5 - 4, c_0011_14 + 2*c_1001_5^17 - 13*c_1001_5^16 + 51*c_1001_5^15 - 141*c_1001_5^14 + 302*c_1001_5^13 - 528*c_1001_5^12 + 773*c_1001_5^11 - 975*c_1001_5^10 + 1070*c_1001_5^9 - 1032*c_1001_5^8 + 879*c_1001_5^7 - 653*c_1001_5^6 + 426*c_1001_5^5 - 237*c_1001_5^4 + 109*c_1001_5^3 - 42*c_1001_5^2 + 9*c_1001_5, c_0011_7 - 3*c_1001_5^18 + 21*c_1001_5^17 - 87*c_1001_5^16 + 254*c_1001_5^15 - 574*c_1001_5^14 + 1057*c_1001_5^13 - 1631*c_1001_5^12 + 2163*c_1001_5^11 - 2496*c_1001_5^10 + 2531*c_1001_5^9 - 2265*c_1001_5^8 + 1779*c_1001_5^7 - 1223*c_1001_5^6 + 722*c_1001_5^5 - 356*c_1001_5^4 + 141*c_1001_5^3 - 38*c_1001_5^2 + 4, c_0101_1 - 1, c_0101_10 + c_1001_5^18 - 9*c_1001_5^17 + 41*c_1001_5^16 - 130*c_1001_5^15 + 312*c_1001_5^14 - 603*c_1001_5^13 + 971*c_1001_5^12 - 1332*c_1001_5^11 + 1590*c_1001_5^10 - 1661*c_1001_5^9 + 1533*c_1001_5^8 - 1246*c_1001_5^7 + 883*c_1001_5^6 - 546*c_1001_5^5 + 280*c_1001_5^4 - 118*c_1001_5^3 + 36*c_1001_5^2 - 3*c_1001_5 - 4, c_0101_11 - 2*c_1001_5^17 + 12*c_1001_5^16 - 46*c_1001_5^15 + 124*c_1001_5^14 - 262*c_1001_5^13 + 454*c_1001_5^12 - 660*c_1001_5^11 + 831*c_1001_5^10 - 906*c_1001_5^9 + 870*c_1001_5^8 - 732*c_1001_5^7 + 533*c_1001_5^6 - 340*c_1001_5^5 + 176*c_1001_5^4 - 76*c_1001_5^3 + 23*c_1001_5^2 - 2*c_1001_5 - 3, c_0101_14 + 4*c_1001_5^18 - 24*c_1001_5^17 + 92*c_1001_5^16 - 248*c_1001_5^15 + 525*c_1001_5^14 - 913*c_1001_5^13 + 1337*c_1001_5^12 - 1704*c_1001_5^11 + 1894*c_1001_5^10 - 1873*c_1001_5^9 + 1643*c_1001_5^8 - 1272*c_1001_5^7 + 884*c_1001_5^6 - 524*c_1001_5^5 + 279*c_1001_5^4 - 123*c_1001_5^3 + 41*c_1001_5^2 - 11*c_1001_5 + 2, c_0101_2 + 16*c_1001_5^18 - 94*c_1001_5^17 + 350*c_1001_5^16 - 912*c_1001_5^15 + 1852*c_1001_5^14 - 3072*c_1001_5^13 + 4253*c_1001_5^12 - 5089*c_1001_5^11 + 5247*c_1001_5^10 - 4744*c_1001_5^9 + 3727*c_1001_5^8 - 2473*c_1001_5^7 + 1413*c_1001_5^6 - 588*c_1001_5^5 + 169*c_1001_5^4 + c_1001_5^3 - 55*c_1001_5^2 + 32*c_1001_5, c_0101_4 + c_1001_5^18 - 7*c_1001_5^17 + 29*c_1001_5^16 - 84*c_1001_5^15 + 188*c_1001_5^14 - 341*c_1001_5^13 + 517*c_1001_5^12 - 672*c_1001_5^11 + 759*c_1001_5^10 - 755*c_1001_5^9 + 663*c_1001_5^8 - 514*c_1001_5^7 + 350*c_1001_5^6 - 206*c_1001_5^5 + 104*c_1001_5^4 - 42*c_1001_5^3 + 13*c_1001_5^2 - c_1001_5 - 1, c_0101_6 - c_1001_5^17 + 7*c_1001_5^16 - 28*c_1001_5^15 + 79*c_1001_5^14 - 171*c_1001_5^13 + 302*c_1001_5^12 - 447*c_1001_5^11 + 571*c_1001_5^10 - 639*c_1001_5^9 + 630*c_1001_5^8 - 553*c_1001_5^7 + 425*c_1001_5^6 - 288*c_1001_5^5 + 169*c_1001_5^4 - 81*c_1001_5^3 + 34*c_1001_5^2 - 8*c_1001_5, c_1001_5^19 - 7*c_1001_5^18 + 30*c_1001_5^17 - 91*c_1001_5^16 + 216*c_1001_5^15 - 420*c_1001_5^14 + 688*c_1001_5^13 - 973*c_1001_5^12 + 1201*c_1001_5^11 - 1311*c_1001_5^10 + 1270*c_1001_5^9 - 1093*c_1001_5^8 + 836*c_1001_5^7 - 560*c_1001_5^6 + 328*c_1001_5^5 - 162*c_1001_5^4 + 65*c_1001_5^3 - 19*c_1001_5^2 + 2*c_1001_5 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.910 Total time: 3.120 seconds, Total memory usage: 64.12MB