Magma V2.19-8 Tue Aug 20 2013 17:58:07 on localhost [Seed = 3499189405] Type ? for help. Type -D to quit. Loading file "10^2_119__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 10^2_119 geometric_solution 11.57189681 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 0 1 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 0.425008519584 0.653135252052 0 5 4 2 0132 0132 3201 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.616290681472 0.423862985660 1 0 7 6 3120 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 0 -1 -1 0 1 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 0.743819408355 0.639505008712 5 8 5 0 0213 0132 1023 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 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 -0.485262997999 1.181472739436 1 6 0 5 2310 3012 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.158253471407 0.770561613405 3 1 3 4 0213 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.485262997999 1.181472739436 4 9 2 10 1230 0132 0132 0132 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 1 -1 0 0 0 0 1 -7 0 6 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.109796221549 0.795097117257 10 9 11 2 0132 2031 0132 0132 0 0 0 1 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 1 -1 0 0 0 0 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.552543075305 0.622386672173 11 3 9 12 1230 0132 0132 0132 0 1 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 0 0 0 -6 -1 0 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.876348724381 0.572416144369 7 6 12 8 1302 0132 2103 0132 0 1 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 1 0 -1 0 0 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580198828402 0.573325003593 7 11 6 12 0132 1023 0132 0213 0 0 1 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 -1 1 0 0 0 0 0 -2 1 0 1 0 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.180276015130 0.834547811876 10 8 12 7 1023 3012 0213 0132 0 0 1 0 0 0 0 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 1 0 0 -1 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.752697448763 1.144832288739 9 11 8 10 2103 0213 0132 0213 0 1 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 1 0 0 -1 0 0 0 0 7 0 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.752697448763 1.144832288739 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_4'], 'c_1001_11' : d['c_0011_3'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0101_8']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_1']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : d['c_0011_12'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_7'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_12'], 'c_0101_10' : d['c_0011_4'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : negation(d['1']), 's_2_12' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_0101_7'], 'c_1100_8' : d['c_0101_7'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1100_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1010_12'], 'c_1100_6' : d['c_1010_12'], 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1010_12'], 's_3_11' : negation(d['1']), 'c_1100_11' : d['c_1010_12'], 'c_1100_10' : d['c_1010_12'], 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : negation(d['c_0101_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0101_7'], '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' : negation(d['c_0011_6']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_7'], 'c_0110_10' : d['c_0101_7'], 'c_0110_12' : negation(d['c_0101_7']), 'c_0101_12' : d['c_0011_10'], 'c_0011_11' : d['c_0011_10'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_10'], 'c_0101_8' : d['c_0101_8'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_8'], 'c_0110_8' : d['c_0011_10'], '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' : negation(d['c_0101_0']), 'c_0110_4' : negation(d['c_0101_1']), 'c_0110_7' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10']})} 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_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_7, c_0101_8, c_1001_0, c_1010_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 32970541/227025920*c_1100_0^6 + 34246139/113512960*c_1100_0^5 + 72114133/56756480*c_1100_0^4 + 141674481/45405184*c_1100_0^3 + 1354402937/227025920*c_1100_0^2 + 875832229/113512960*c_1100_0 + 72106935/11351296, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 126/695*c_1100_0^6 + 193/695*c_1100_0^5 + 1002/695*c_1100_0^4 + 422/139*c_1100_0^3 + 4007/695*c_1100_0^2 + 4503/695*c_1100_0 + 598/139, c_0011_3 + 22/139*c_1100_0^6 + 206/695*c_1100_0^5 + 888/695*c_1100_0^4 + 2237/695*c_1100_0^3 + 757/139*c_1100_0^2 + 4977/695*c_1100_0 + 3473/695, c_0011_4 - 22/139*c_1100_0^6 - 206/695*c_1100_0^5 - 888/695*c_1100_0^4 - 2237/695*c_1100_0^3 - 757/139*c_1100_0^2 - 4977/695*c_1100_0 - 3473/695, c_0011_6 + 83/1390*c_1100_0^6 + 23/278*c_1100_0^5 + 287/695*c_1100_0^4 + 1487/1390*c_1100_0^3 + 793/695*c_1100_0^2 + 2771/1390*c_1100_0 + 324/695, c_0101_0 - 23/1390*c_1100_0^6 - 129/1390*c_1100_0^5 - 108/695*c_1100_0^4 - 205/278*c_1100_0^3 - 898/695*c_1100_0^2 - 1699/1390*c_1100_0 - 166/139, c_0101_1 - 161/1390*c_1100_0^6 - 347/1390*c_1100_0^5 - 617/695*c_1100_0^4 - 3283/1390*c_1100_0^3 - 2811/695*c_1100_0^2 - 6611/1390*c_1100_0 - 2196/695, c_0101_7 - 1, c_0101_8 + 23/1390*c_1100_0^6 + 129/1390*c_1100_0^5 + 108/695*c_1100_0^4 + 205/278*c_1100_0^3 + 898/695*c_1100_0^2 + 3089/1390*c_1100_0 + 305/139, c_1001_0 - 21/278*c_1100_0^6 - 323/1390*c_1100_0^5 - 487/695*c_1100_0^4 - 3241/1390*c_1100_0^3 - 554/139*c_1100_0^2 - 8131/1390*c_1100_0 - 3632/695, c_1010_12 - 16/695*c_1100_0^6 + 13/695*c_1100_0^5 - 114/695*c_1100_0^4 + 127/695*c_1100_0^3 - 222/695*c_1100_0^2 + 474/695*c_1100_0 + 483/695, c_1100_0^7 + 3*c_1100_0^6 + 10*c_1100_0^5 + 29*c_1100_0^4 + 58*c_1100_0^3 + 83*c_1100_0^2 + 86*c_1100_0 + 44 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_12, c_0011_3, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_7, c_0101_8, c_1001_0, c_1010_12, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 433035199/23458400*c_1100_0^6 - 10564949/2345840*c_1100_0^5 - 249220547/5864600*c_1100_0^4 - 3406035463/23458400*c_1100_0^3 - 6833397187/23458400*c_1100_0^2 - 2300382083/11729200*c_1100_0 - 347335759/5864600, c_0011_0 - 1, c_0011_10 + 1, c_0011_12 + 307/413*c_1100_0^6 - 407/413*c_1100_0^5 + 682/413*c_1100_0^4 + 1555/413*c_1100_0^3 + 1018/413*c_1100_0^2 - 3065/413*c_1100_0 - 1738/413, c_0011_3 + 171/413*c_1100_0^6 - 298/413*c_1100_0^5 + 544/413*c_1100_0^4 + 550/413*c_1100_0^3 + 376/413*c_1100_0^2 - 1683/413*c_1100_0 - 547/413, c_0011_4 - 171/413*c_1100_0^6 + 298/413*c_1100_0^5 - 544/413*c_1100_0^4 - 550/413*c_1100_0^3 - 376/413*c_1100_0^2 + 1683/413*c_1100_0 + 547/413, c_0011_6 - 103/826*c_1100_0^6 + 37/826*c_1100_0^5 - 31/413*c_1100_0^4 - 667/826*c_1100_0^3 - 647/413*c_1100_0^2 + 1405/826*c_1100_0 + 492/413, c_0101_0 + 53/826*c_1100_0^6 - 3/826*c_1100_0^5 + 36/413*c_1100_0^4 + 255/826*c_1100_0^3 + 365/413*c_1100_0^2 + 87/826*c_1100_0 - 598/413, c_0101_1 - 135/826*c_1100_0^6 + 257/826*c_1100_0^5 - 193/413*c_1100_0^4 - 369/826*c_1100_0^3 - 18/413*c_1100_0^2 + 1633/826*c_1100_0 + 292/413, c_0101_7 + 1, c_0101_8 - 53/826*c_1100_0^6 + 3/826*c_1100_0^5 - 36/413*c_1100_0^4 - 255/826*c_1100_0^3 - 365/413*c_1100_0^2 + 739/826*c_1100_0 + 185/413, c_1001_0 + 173/826*c_1100_0^6 - 415/826*c_1100_0^5 + 437/413*c_1100_0^4 - 243/826*c_1100_0^3 + 381/413*c_1100_0^2 - 2007/826*c_1100_0 + 152/413, c_1010_12 + 136/413*c_1100_0^6 - 109/413*c_1100_0^5 + 138/413*c_1100_0^4 + 1005/413*c_1100_0^3 + 642/413*c_1100_0^2 - 1382/413*c_1100_0 - 1191/413, c_1100_0^7 - c_1100_0^6 + 2*c_1100_0^5 + 5*c_1100_0^4 + 6*c_1100_0^3 - 9*c_1100_0^2 - 10*c_1100_0 - 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.340 seconds, Total memory usage: 32.09MB