Magma V2.19-8 Wed Aug 21 2013 00:56:27 on localhost [Seed = 1663400278] Type ? for help. Type -D to quit. Loading file "L13n221__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n221 geometric_solution 12.49006602 oriented_manifold CS_known 0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 0 0 1 1 0 2 0 -2 2 0 -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 -1 0 1 -1 0 1 0 0 -1 0 1 -10 10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960655807011 0.777427408275 0 5 6 2 0132 0132 0132 3120 1 0 1 1 0 0 0 0 -2 0 2 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 -1 1 1 0 -1 0 10 1 0 -11 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.435572071292 0.581531912472 1 0 8 7 3120 0132 0132 0132 0 0 1 1 0 -2 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 1 0 -1 0 0 0 0 11 -10 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.670763270024 0.603879226784 7 9 10 0 0132 0132 0132 0132 0 0 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357810397395 0.716252900303 11 5 0 6 0132 1302 0132 1302 0 0 1 1 0 0 2 -2 -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 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 0.503496999783 0.962229955713 8 1 8 4 1023 0132 2103 2031 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 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 0.490956465042 0.704927069228 9 11 4 1 3120 3120 2031 0132 1 0 1 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 0 0 -1 0 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 0.419104016473 1.324220827793 3 10 2 12 0132 1023 0132 0132 0 0 1 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 -1 1 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 0.103417359662 0.957827452323 5 5 11 2 2103 1023 1023 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.673295711437 0.932384639021 12 3 10 6 1023 0132 1023 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0.357810397395 0.716252900303 7 12 9 3 1023 1023 1023 0132 0 0 1 1 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 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.699277579807 1.528372028321 4 6 8 12 0132 3120 1023 1023 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 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 -0.111425681780 1.031998663010 10 9 7 11 1023 1023 0132 1023 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.103417359662 0.957827452323 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_11'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : d['c_0101_12'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_0110_5'], 'c_1001_7' : d['c_0101_10'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : d['c_0110_5'], 'c_1001_9' : d['c_0101_10'], 'c_1001_8' : d['c_0101_11'], 'c_1010_12' : d['c_0101_1'], 'c_1010_11' : negation(d['c_0011_6']), 'c_1010_10' : negation(d['c_0011_6']), 's_3_11' : 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_11'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : 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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_1100_11']), 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_2']), 'c_1100_4' : d['c_0101_6'], 'c_1100_7' : negation(d['c_1100_11']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_0101_6'], 'c_1100_3' : d['c_0101_6'], 'c_1100_2' : negation(d['c_1100_11']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0101_6']), 'c_1100_11' : d['c_1100_11'], 'c_1100_10' : d['c_0101_6'], 's_0_11' : negation(d['1']), 'c_1010_7' : d['c_0101_12'], 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_5'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0110_5'], 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_1100_11']), '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' : 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_10'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_10'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_1'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0011_6']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_11'], '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' : d['c_0101_1'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_1']})} 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0110_5, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 1875471959/16236949824*c_1100_11^6 - 20503409297/16236949824*c_1100_11^5 + 172591227/300684256*c_1100_11^4 + 75510762301/5412316608*c_1100_11^\ 3 - 517044567241/16236949824*c_1100_11^2 - 1403309785355/16236949824*c_1100_11 - 247926087977/4059237456, c_0011_0 - 1, c_0011_10 - 2656007/112756596*c_1100_11^6 - 18149837/112756596*c_1100_11^5 + 14181693/18792766*c_1100_11^4 - 13343163/37585532*c_1100_11^3 - 459434401/112756596*c_1100_11^2 - 335441327/112756596*c_1100_11 - 24741806/28189149, c_0011_11 + 94001/37585532*c_1100_11^6 + 1294823/37585532*c_1100_11^5 + 407733/18792766*c_1100_11^4 - 22884161/37585532*c_1100_11^3 + 53174435/37585532*c_1100_11^2 + 90760557/37585532*c_1100_11 + 3626007/9396383, c_0011_6 - 300069/18792766*c_1100_11^6 - 1785649/18792766*c_1100_11^5 + 5435474/9396383*c_1100_11^4 - 15821467/18792766*c_1100_11^3 - 25177457/18792766*c_1100_11^2 - 29940457/18792766*c_1100_11 - 3749177/9396383, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 300069/18792766*c_1100_11^6 + 1785649/18792766*c_1100_11^5 - 5435474/9396383*c_1100_11^4 + 15821467/18792766*c_1100_11^3 + 25177457/18792766*c_1100_11^2 + 29940457/18792766*c_1100_11 + 3749177/9396383, c_0101_11 + 122353/18792766*c_1100_11^6 + 458045/18792766*c_1100_11^5 - 3028881/9396383*c_1100_11^4 + 16568523/18792766*c_1100_11^3 + 452579/18792766*c_1100_11^2 - 18486161/18792766*c_1100_11 - 5876020/9396383, c_0101_12 - 122353/18792766*c_1100_11^6 - 458045/18792766*c_1100_11^5 + 3028881/9396383*c_1100_11^4 - 16568523/18792766*c_1100_11^3 - 452579/18792766*c_1100_11^2 + 18486161/18792766*c_1100_11 + 5876020/9396383, c_0101_2 - 94001/37585532*c_1100_11^6 - 1294823/37585532*c_1100_11^5 - 407733/18792766*c_1100_11^4 + 22884161/37585532*c_1100_11^3 - 53174435/37585532*c_1100_11^2 - 90760557/37585532*c_1100_11 - 13022390/9396383, c_0101_6 + 5657/37585532*c_1100_11^6 - 175577/37585532*c_1100_11^5 - 459671/18792766*c_1100_11^4 + 11301411/37585532*c_1100_11^3 - 28506209/37585532*c_1100_11^2 - 24538543/37585532*c_1100_11 - 93063/9396383, c_0110_5 - 594481/37585532*c_1100_11^6 - 3746875/37585532*c_1100_11^5 + 10411277/18792766*c_1100_11^4 - 20341523/37585532*c_1100_11^3 - 78861123/37585532*c_1100_11^2 - 84419457/37585532*c_1100_11 - 3842240/9396383, c_1100_11^7 + 7*c_1100_11^6 - 30*c_1100_11^5 + 15*c_1100_11^4 + 143*c_1100_11^3 + 205*c_1100_11^2 + 124*c_1100_11 + 48 ], 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_6, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_2, c_0101_6, c_0110_5, c_1100_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 18857004379/12772619104*c_1100_11^7 + 73469322601/25545238208*c_1100_11^6 - 1423127776897/25545238208*c_1100_11^5 + 109643074621/1596577388*c_1100_11^4 - 4403418624539/25545238208*c_1100_11^3 + 1013502664963/25545238208*c_1100_11^2 - 1635842699255/25545238208*c_1100_11 - 227863136069/6386309552, c_0011_0 - 1, c_0011_10 + 2072501/65166424*c_1100_11^7 - 3475301/65166424*c_1100_11^6 + 19198443/16291606*c_1100_11^5 - 74936543/65166424*c_1100_11^4 + 203005553/65166424*c_1100_11^3 + 10932977/65166424*c_1100_11^2 - 5578135/32583212*c_1100_11 + 3972568/8145803, c_0011_11 + 2016867/65166424*c_1100_11^7 - 2084531/65166424*c_1100_11^6 + 18246703/16291606*c_1100_11^5 - 26895345/65166424*c_1100_11^4 + 168879799/65166424*c_1100_11^3 + 77016047/65166424*c_1100_11^2 + 56645179/32583212*c_1100_11 + 3155509/8145803, c_0011_6 + 27817/32583212*c_1100_11^7 - 695385/32583212*c_1100_11^6 + 475870/8145803*c_1100_11^5 - 24020599/32583212*c_1100_11^4 + 17062877/32583212*c_1100_11^3 - 33041535/32583212*c_1100_11^2 - 14820051/16291606*c_1100_11 + 817059/8145803, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 - 27817/32583212*c_1100_11^7 + 695385/32583212*c_1100_11^6 - 475870/8145803*c_1100_11^5 + 24020599/32583212*c_1100_11^4 - 17062877/32583212*c_1100_11^3 + 33041535/32583212*c_1100_11^2 + 14820051/16291606*c_1100_11 - 817059/8145803, c_0101_11 - 91904/8145803*c_1100_11^7 + 320417/16291606*c_1100_11^6 - 7106105/16291606*c_1100_11^5 + 3562751/8145803*c_1100_11^4 - 28366539/16291606*c_1100_11^3 - 4613053/16291606*c_1100_11^2 - 21497499/16291606*c_1100_11 - 8178736/8145803, c_0101_12 - 91904/8145803*c_1100_11^7 + 320417/16291606*c_1100_11^6 - 7106105/16291606*c_1100_11^5 + 3562751/8145803*c_1100_11^4 - 28366539/16291606*c_1100_11^3 - 4613053/16291606*c_1100_11^2 - 21497499/16291606*c_1100_11 - 8178736/8145803, c_0101_2 - 2016867/65166424*c_1100_11^7 + 2084531/65166424*c_1100_11^6 - 18246703/16291606*c_1100_11^5 + 26895345/65166424*c_1100_11^4 - 168879799/65166424*c_1100_11^3 - 77016047/65166424*c_1100_11^2 - 56645179/32583212*c_1100_11 - 11301312/8145803, c_0101_6 - 1131869/65166424*c_1100_11^7 + 2096869/65166424*c_1100_11^6 - 10276679/16291606*c_1100_11^5 + 46412879/65166424*c_1100_11^4 - 76405161/65166424*c_1100_11^3 - 16912849/65166424*c_1100_11^2 + 5204179/32583212*c_1100_11 + 1018435/8145803, c_0110_5 - 1076235/65166424*c_1100_11^7 + 706099/65166424*c_1100_11^6 - 9324939/16291606*c_1100_11^5 - 1628319/65166424*c_1100_11^4 - 42279407/65166424*c_1100_11^3 - 82995919/65166424*c_1100_11^2 - 24435923/32583212*c_1100_11 + 1835494/8145803, c_1100_11^8 - c_1100_11^7 + 36*c_1100_11^6 - 11*c_1100_11^5 + 77*c_1100_11^4 + 77*c_1100_11^3 + 34*c_1100_11^2 + 56*c_1100_11 + 32 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB