Magma V2.19-8 Wed Aug 21 2013 00:54:40 on localhost [Seed = 408814167] Type ? for help. Type -D to quit. Loading file "L12n47__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n47 geometric_solution 12.55175922 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 0213 0132 0132 1 1 1 1 0 0 0 0 -1 0 0 1 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 1 0 -1 -1 0 -1 2 0 1 0 -1 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.272863915509 0.934099289461 0 3 0 4 0132 2031 0213 0132 1 1 1 1 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 -1 1 1 0 -1 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 0.711863769032 0.986381244707 5 3 6 0 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 -1 1 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450925618790 0.516142393049 1 2 0 4 1302 0132 0132 2103 1 1 1 1 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 1 -1 2 0 -2 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 1.343814597201 1.358434599729 5 6 1 3 2103 2103 0132 2103 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 0 0 0 0 0 0 0 0 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 0.966874907078 0.908884379596 2 7 4 8 0132 0132 2103 0132 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 0 0 0 0 0 0 0 0 0 0 -1 1 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 0.849761834603 0.849568043543 7 4 8 2 0132 2103 0132 0132 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 0 0 0 0 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 0.849761834603 0.849568043543 6 5 10 9 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 0 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474192198358 0.635502168041 11 12 5 6 0132 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474192198358 0.635502168041 11 12 7 11 2103 0213 0132 3201 1 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 1 -1 2 -1 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.503460646789 1.003837405595 11 12 12 7 3120 0321 3201 0132 1 1 1 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 -1 1 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 0.503460646789 1.003837405595 8 9 9 10 0132 2310 2103 3120 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 0 0 0 0 0 0 0 0 0 0 1 -2 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 0.503460646789 1.003837405595 10 8 9 10 2310 0132 0213 0321 1 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 -1 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 0.503460646789 1.003837405595 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_9'], 'c_1001_10' : negation(d['c_0011_9']), 'c_1001_12' : d['c_0011_4'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : negation(d['c_0011_2']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : d['c_0011_4'], 'c_1001_1' : negation(d['c_0110_3']), 'c_1001_0' : negation(d['c_0110_3']), 'c_1001_3' : negation(d['c_0110_3']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_4'], 'c_1001_8' : d['c_1001_7'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : d['c_1001_7'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : negation(d['1']), 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0011_9'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0011_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(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' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : negation(d['c_0110_4']), 'c_1100_4' : negation(d['c_0110_3']), 'c_1100_7' : negation(d['c_0011_11']), 'c_1100_6' : negation(d['c_0110_4']), 'c_1100_1' : negation(d['c_0110_3']), 'c_1100_0' : negation(d['c_0110_4']), 'c_1100_3' : negation(d['c_0110_4']), 'c_1100_2' : negation(d['c_0110_4']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_4'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_7'], 'c_1010_4' : negation(d['c_1001_2']), 'c_1010_3' : d['c_1001_2'], 'c_1010_2' : negation(d['c_0110_3']), 'c_1010_1' : negation(d['c_0011_2']), 'c_1010_0' : negation(d['c_0110_3']), 'c_1010_9' : negation(d['c_0011_9']), 'c_1010_8' : d['c_0011_4'], 'c_1100_8' : negation(d['c_0110_4']), 's_3_1' : negation(d['1']), 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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_0011_9']), 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_2'], 'c_0011_6' : negation(d['c_0011_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_0110_11' : d['c_0101_2'], 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0110_0' : d['c_0011_0'], 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0101_11'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_11'], 'c_0101_8' : d['c_0101_2'], 's_1_12' : negation(d['1']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_10'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_11']), 'c_0110_3' : d['c_0110_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_11'], 'c_0110_6' : d['c_0101_2'], 's_2_9' : d['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_2, c_0011_4, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0110_3, c_0110_4, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t + 1118/27225*c_1001_7^3 + 505/726*c_1001_7^2 + 85939/27225*c_1001_7 + 127331/27225, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 + c_1001_7^2 + 3*c_1001_7 + 3, c_0011_2 + 1/2*c_1001_7^2 + 5/2*c_1001_7 + 5/2, c_0011_4 - c_1001_7^2 - 4*c_1001_7 - 3, c_0011_9 - 1, c_0101_0 + 1/2*c_1001_7^3 + 7/2*c_1001_7^2 + 15/2*c_1001_7 + 5, c_0101_11 - c_1001_7, c_0101_2 - c_1001_7^2 - 4*c_1001_7 - 3, c_0110_3 - 1/2*c_1001_7^3 - 3*c_1001_7^2 - 6*c_1001_7 - 7/2, c_0110_4 - 1/2*c_1001_7^2 - 5/2*c_1001_7 - 5/2, c_1001_2 - 1/2*c_1001_7^3 - 7/2*c_1001_7^2 - 15/2*c_1001_7 - 5, c_1001_7^4 + 8*c_1001_7^3 + 23*c_1001_7^2 + 26*c_1001_7 + 11 ], 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_2, c_0011_4, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0110_3, c_0110_4, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 39/2*c_1001_7^4 - 21/2*c_1001_7^3 - 25*c_1001_7^2 - 12*c_1001_7 + 21, c_0011_0 - 1, c_0011_10 + 1, c_0011_11 - 1/2*c_1001_7^4 - c_1001_7^3 - 2*c_1001_7^2 - 5/2*c_1001_7 - 1/2, c_0011_2 + 1/2*c_1001_7^4 + c_1001_7^3 + c_1001_7^2 + 3/2*c_1001_7 + 1/2, c_0011_4 + 1/2*c_1001_7^4 + c_1001_7^3 + 2*c_1001_7^2 + 3/2*c_1001_7 + 1/2, c_0011_9 - 1, c_0101_0 + c_1001_7^4 + c_1001_7^3 + 2*c_1001_7^2 + c_1001_7 + 1, c_0101_11 - c_1001_7, c_0101_2 + 1/2*c_1001_7^4 + c_1001_7^3 + 2*c_1001_7^2 + 3/2*c_1001_7 + 1/2, c_0110_3 + 1/2*c_1001_7^4 + c_1001_7^2 + 1/2*c_1001_7 + 1/2, c_0110_4 - 1/2*c_1001_7^4 - c_1001_7^3 - c_1001_7^2 - 3/2*c_1001_7 - 1/2, c_1001_2 - c_1001_7^4 - c_1001_7^3 - 2*c_1001_7^2 - c_1001_7 - 1, c_1001_7^5 + c_1001_7^4 + 2*c_1001_7^3 + c_1001_7^2 - 1 ], 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_2, c_0011_4, c_0011_9, c_0101_0, c_0101_11, c_0101_2, c_0110_3, c_0110_4, c_1001_2, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 6956203508857/544826778650*c_1001_7^7 + 4521449285978/54482677865*c_1001_7^6 + 232130175979/990594143*c_1001_7^5 + 30649473393071/77832396950*c_1001_7^4 + 9154089426147/54482677865*c_1001_7^3 - 59966591111461/54482677865*c_1001_7^2 + 723981157729503/544826778650*c_1001_7 - 156306587397061/544826778650, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 476288/1837837*c_1001_7^7 - 2993277/1837837*c_1001_7^6 - 7978977/1837837*c_1001_7^5 - 12116187/1837837*c_1001_7^4 - 1191961/1837837*c_1001_7^3 + 45301074/1837837*c_1001_7^2 - 59597386/1837837*c_1001_7 + 10834329/1837837, c_0011_2 + 408644/1837837*c_1001_7^7 + 5157531/3675674*c_1001_7^6 + 13872169/3675674*c_1001_7^5 + 21646047/3675674*c_1001_7^4 + 4123813/3675674*c_1001_7^3 - 37863734/1837837*c_1001_7^2 + 49654619/1837837*c_1001_7 - 18989387/3675674, c_0011_4 - 476288/1837837*c_1001_7^7 - 2993277/1837837*c_1001_7^6 - 7978977/1837837*c_1001_7^5 - 12116187/1837837*c_1001_7^4 - 1191961/1837837*c_1001_7^3 + 45301074/1837837*c_1001_7^2 - 57759549/1837837*c_1001_7 + 10834329/1837837, c_0011_9 - 1, c_0101_0 + 1435463/3675674*c_1001_7^7 + 8995531/3675674*c_1001_7^6 + 23963751/3675674*c_1001_7^5 + 36715041/3675674*c_1001_7^4 + 2190873/1837837*c_1001_7^3 - 67656835/1837837*c_1001_7^2 + 175782561/3675674*c_1001_7 - 17592726/1837837, c_0101_11 - c_1001_7, c_0101_2 - 476288/1837837*c_1001_7^7 - 2993277/1837837*c_1001_7^6 - 7978977/1837837*c_1001_7^5 - 12116187/1837837*c_1001_7^4 - 1191961/1837837*c_1001_7^3 + 45301074/1837837*c_1001_7^2 - 57759549/1837837*c_1001_7 + 10834329/1837837, c_0110_3 - 1099981/3675674*c_1001_7^7 - 3443508/1837837*c_1001_7^6 - 9162489/1837837*c_1001_7^5 - 14017214/1837837*c_1001_7^4 - 3320471/3675674*c_1001_7^3 + 51183123/1837837*c_1001_7^2 - 138035225/3675674*c_1001_7 + 30261285/3675674, c_0110_4 - 408644/1837837*c_1001_7^7 - 5157531/3675674*c_1001_7^6 - 13872169/3675674*c_1001_7^5 - 21646047/3675674*c_1001_7^4 - 4123813/3675674*c_1001_7^3 + 37863734/1837837*c_1001_7^2 - 49654619/1837837*c_1001_7 + 18989387/3675674, c_1001_2 - 1435463/3675674*c_1001_7^7 - 8995531/3675674*c_1001_7^6 - 23963751/3675674*c_1001_7^5 - 36715041/3675674*c_1001_7^4 - 2190873/1837837*c_1001_7^3 + 67656835/1837837*c_1001_7^2 - 175782561/3675674*c_1001_7 + 17592726/1837837, c_1001_7^8 + 6*c_1001_7^7 + 15*c_1001_7^6 + 21*c_1001_7^5 - 4*c_1001_7^4 - 95*c_1001_7^3 + 149*c_1001_7^2 - 59*c_1001_7 + 7 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB