Magma V2.19-8 Wed Aug 21 2013 01:08:04 on localhost [Seed = 3381645564] Type ? for help. Type -D to quit. Loading file "L14n38253__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n38253 geometric_solution 11.82607734 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 0 1 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 0 0 0 5 -1 -4 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 0.084898290617 1.597909640570 0 3 6 5 0132 2103 0132 0132 1 0 1 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 1 0 -1 -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 0.269883680598 0.471258801769 7 0 5 8 0132 0132 2031 0132 1 1 1 0 0 -1 1 0 1 0 0 -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 -5 5 0 4 0 1 -5 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284618729065 0.562867350623 9 1 7 0 0132 2103 3012 0132 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 -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 0 0 0.324305369912 0.344191491180 7 6 0 10 3012 3201 0132 0132 1 0 1 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 -4 4 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 0.079625475408 1.371431078024 9 11 1 2 2103 0132 0132 1302 1 0 1 1 0 0 0 0 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 0 1 -1 0 0 -1 1 0 5 0 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284567440126 1.414852883536 9 12 4 1 3120 0132 2310 0132 1 0 0 1 0 0 0 0 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 0 0 0 0 0 0 0 0 1 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.957806793707 0.726715590641 2 3 10 4 0132 1230 1230 1230 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 0 0 0 -4 0 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.827213410582 0.781219569444 11 11 2 12 0321 1302 0132 2103 1 1 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.934377812524 0.685694821143 3 12 5 6 0132 1230 2103 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.361020910519 0.603451253065 12 11 4 7 0321 1230 0132 3012 1 0 1 1 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 -1 0 1 0 4 0 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.224586183673 1.349406293248 8 5 10 8 0321 0132 3012 2031 1 1 1 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 0 0 0 0 0 0 0 0 5 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.138302312839 1.445138958534 10 6 9 8 0321 0132 3012 2103 1 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 0 0 0 0 0 0 0 0 0 0 0 -4 4 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.320132674120 0.557107748193 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0011_3'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : negation(d['c_0101_6']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_1001_10']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0011_8']), 'c_1001_3' : negation(d['c_0011_0']), 'c_1001_2' : negation(d['c_0101_6']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : negation(d['c_0011_8']), 'c_1010_12' : negation(d['c_1001_10']), 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_0101_11'], '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_0101_11'], 'c_0101_10' : negation(d['c_0011_12']), 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : 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' : 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' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : negation(d['c_1001_7']), 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : d['c_0011_4'], 'c_1100_1' : d['c_0011_4'], 'c_1100_0' : negation(d['c_1001_7']), 'c_1100_3' : negation(d['c_1001_7']), 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_1001_7']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0011_10']), 'c_1010_4' : d['c_1001_10'], 'c_1010_3' : negation(d['c_0011_8']), 'c_1010_2' : negation(d['c_0011_8']), 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0101_6']), 'c_1010_9' : d['c_0011_12'], 'c_1010_8' : d['c_1001_10'], 'c_1100_8' : d['c_0011_10'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : 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' : d['c_0011_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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), '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' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0011_12'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], '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_0101_0'], 'c_0101_8' : negation(d['c_0101_11']), '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' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0011_4'], '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_12, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 28187138769409/1863872972*c_1001_7^5 + 463091233280977/80146537796*c_1001_7^4 + 86627134030795/6165118292*c_1001_7^3 - 24271964170985/20036634449*c_1001_7^2 + 34534874639315/80146537796*c_1001_7 - 98328723398168/20036634449, c_0011_0 - 1, c_0011_10 + 524170/504841*c_1001_7^5 - 661324/504841*c_1001_7^4 + 854496/504841*c_1001_7^3 - 838336/504841*c_1001_7^2 + 140288/504841*c_1001_7 - 165950/504841, c_0011_11 + 822332/504841*c_1001_7^5 + 123590/504841*c_1001_7^4 - 57758/504841*c_1001_7^3 + 108373/504841*c_1001_7^2 - 480312/504841*c_1001_7 - 110841/504841, c_0011_12 + 565106/504841*c_1001_7^5 - 559821/504841*c_1001_7^4 + 1003147/504841*c_1001_7^3 - 506975/504841*c_1001_7^2 - 9278/504841*c_1001_7 - 250557/504841, c_0011_3 + 1007447/504841*c_1001_7^5 + 103736/504841*c_1001_7^4 - 146523/504841*c_1001_7^3 - 408845/504841*c_1001_7^2 - 525607/504841*c_1001_7 - 222458/504841, c_0011_4 - 86774/504841*c_1001_7^5 - 716820/504841*c_1001_7^4 - 78591/504841*c_1001_7^3 + 287129/504841*c_1001_7^2 + 208862/504841*c_1001_7 + 367070/504841, c_0011_8 - 447200/504841*c_1001_7^5 + 350516/504841*c_1001_7^4 - 338483/504841*c_1001_7^3 + 431545/504841*c_1001_7^2 - 24849/504841*c_1001_7 + 194592/504841, c_0101_0 - 1300664/504841*c_1001_7^5 + 1153051/504841*c_1001_7^4 - 866798/504841*c_1001_7^3 + 1121155/504841*c_1001_7^2 - 224113/504841*c_1001_7 + 499169/504841, c_0101_1 - 1, c_0101_11 + 1346502/504841*c_1001_7^5 - 537734/504841*c_1001_7^4 + 796738/504841*c_1001_7^3 - 729963/504841*c_1001_7^2 - 340024/504841*c_1001_7 - 276791/504841, c_0101_6 + 185115/504841*c_1001_7^5 - 19854/504841*c_1001_7^4 - 88765/504841*c_1001_7^3 + 492464/504841*c_1001_7^2 - 45295/504841*c_1001_7 - 111617/504841, c_1001_10 + 447200/504841*c_1001_7^5 - 350516/504841*c_1001_7^4 + 338483/504841*c_1001_7^3 - 431545/504841*c_1001_7^2 + 24849/504841*c_1001_7 - 194592/504841, c_1001_7^6 - 32/43*c_1001_7^5 + 28/43*c_1001_7^4 - 40/43*c_1001_7^3 + 7/43*c_1001_7^2 - 18/43*c_1001_7 + 13/43 ], 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_12, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_1001_10, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1099/16*c_1001_7^6 - 5843/16*c_1001_7^5 + 4803/16*c_1001_7^4 + 7997/16*c_1001_7^3 - 10567/16*c_1001_7^2 + 8401/8*c_1001_7 - 23041/16, c_0011_0 - 1, c_0011_10 - c_1001_7^6 + c_1001_7^5 + 4*c_1001_7^4 - 2*c_1001_7^3 - 5*c_1001_7^2 + 1, c_0011_11 - c_1001_7^4 + 2*c_1001_7^2 + c_1001_7, c_0011_12 + c_1001_7^4 - c_1001_7^3 - c_1001_7^2, c_0011_3 + c_1001_7, c_0011_4 - c_1001_7^2 + c_1001_7 + 1, c_0011_8 + c_1001_7^2 - 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_11 + c_1001_7^4 - 2*c_1001_7^2 - c_1001_7, c_0101_6 + c_1001_7^2 - c_1001_7 - 1, c_1001_10 - c_1001_7^6 + 2*c_1001_7^5 + c_1001_7^4 - c_1001_7^3 - 2*c_1001_7^2 - c_1001_7, c_1001_7^7 - 2*c_1001_7^6 + 3*c_1001_7^2 + c_1001_7 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.490 Total time: 0.700 seconds, Total memory usage: 32.09MB