Magma V2.19-8 Wed Aug 21 2013 01:13:56 on localhost [Seed = 3398227063] Type ? for help. Type -D to quit. Loading file "L14n9316__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n9316 geometric_solution 12.42119182 oriented_manifold CS_known -0.0000000000000009 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 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 -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 0.897268956507 0.666477870762 0 5 5 6 0132 0132 3201 0132 1 1 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 0 0 0 0 0 0 0 3 -1 -2 -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 0.377249377336 0.802224901718 6 0 4 5 3201 0132 2031 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 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 0.281773625791 0.533487736466 7 5 8 0 0132 1230 0132 0132 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 1 -1 0 0 -1 1 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.778490119740 0.565266269087 4 4 0 2 1302 2031 0132 1302 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 0.664212380058 0.401442269542 1 1 3 2 2310 0132 3012 2103 1 1 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 -3 3 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 0.519966824237 1.020795766361 7 8 1 2 2103 2103 0132 2310 1 1 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 -2 2 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 0.600961308136 1.533580155056 3 9 6 10 0132 0132 2103 0132 1 1 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 0 0 0 0 -3 0 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713294154331 0.612767055431 11 6 12 3 0132 2103 0132 0132 1 1 1 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 1 -1 0 0 -1 1 -2 2 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713294154331 0.612767055431 11 7 11 12 1023 0132 2031 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 1 -1 -2 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 0.703815226841 0.874527252557 11 12 7 12 2103 2031 0132 0132 1 1 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 0 0 1 -1 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703815226841 0.874527252557 8 9 10 9 0132 1023 2103 1302 0 1 1 1 0 1 0 -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 2 -1 -1 0 0 0 0 1 0 0 -1 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703815226841 0.874527252557 10 9 10 8 1302 0321 0132 0132 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 1 0 -1 -1 0 0 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 0.703815226841 0.874527252557 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : negation(d['c_0101_8']), 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : negation(d['c_0011_11']), 'c_1001_4' : negation(d['c_0110_4']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : negation(d['c_0011_11']), 'c_1001_1' : negation(d['c_0101_5']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0110_2'], 'c_1001_2' : negation(d['c_0110_4']), 'c_1001_9' : negation(d['c_0101_8']), 'c_1001_8' : d['c_0011_6'], 'c_1010_12' : d['c_0011_6'], 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : d['c_0011_12'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : negation(d['1']), 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], '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' : negation(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' : 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' : negation(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_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_2'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_2']), 'c_1100_4' : d['c_0101_2'], 'c_1100_7' : d['c_0101_2'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_0101_2'], 'c_1100_3' : d['c_0101_2'], 'c_1100_2' : negation(d['c_0011_4']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0011_10'], 'c_1100_10' : d['c_0101_2'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : negation(d['c_0110_2']), 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_11']), 'c_1010_0' : negation(d['c_0110_4']), 'c_1010_9' : d['c_0011_6'], 'c_1010_8' : d['c_0110_2'], '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' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_0101_2'], '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_11'], 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0110_6' : negation(d['c_0101_2']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_11'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : negation(d['c_0011_10']), 'c_0110_12' : d['c_0101_8'], 'c_0101_12' : negation(d['c_0011_10']), 'c_0110_0' : negation(d['c_0011_4']), 'c_0011_6' : d['c_0011_6'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_4']), 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_4']), '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' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0011_12'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0110_2'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], '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_11, c_0011_12, c_0011_4, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_0110_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 641055093/10352789200*c_0110_4^7 + 449007693/2588197300*c_0110_4^6 + 5717780089/10352789200*c_0110_4^5 + 2573685447/5176394600*c_0110_4^4 - 83461877/2588197300*c_0110_4^3 + 687024083/608987600*c_0110_4^2 + 11701462309/5176394600*c_0110_4 + 1030239411/647049325, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 3/26*c_0110_4^7 + 3/26*c_0110_4^6 - 5/26*c_0110_4^5 + 3/26*c_0110_4^4 - 10/13*c_0110_4^3 + 7/26*c_0110_4^2 - 31/26*c_0110_4 + 9/13, c_0011_12 + 1, c_0011_4 + 1/26*c_0110_4^7 - 1/26*c_0110_4^6 - 7/26*c_0110_4^5 - 1/26*c_0110_4^4 - 1/13*c_0110_4^3 - 11/26*c_0110_4^2 - 7/26*c_0110_4 - 3/13, c_0011_6 - 6/13*c_0110_4^7 - 27/26*c_0110_4^6 - 10/13*c_0110_4^5 - 53/26*c_0110_4^4 - 40/13*c_0110_4^3 - 51/13*c_0110_4^2 - 111/26*c_0110_4 - 81/13, c_0101_0 - 3/52*c_0110_4^7 - 5/26*c_0110_4^6 - 5/52*c_0110_4^5 - 9/13*c_0110_4^4 - 5/13*c_0110_4^3 - 71/52*c_0110_4^2 - 11/13*c_0110_4 - 28/13, c_0101_10 + 6/13*c_0110_4^7 + 27/26*c_0110_4^6 + 10/13*c_0110_4^5 + 53/26*c_0110_4^4 + 40/13*c_0110_4^3 + 51/13*c_0110_4^2 + 111/26*c_0110_4 + 81/13, c_0101_2 + 3/26*c_0110_4^7 - 3/26*c_0110_4^6 + 5/26*c_0110_4^5 - 3/26*c_0110_4^4 + 10/13*c_0110_4^3 - 7/26*c_0110_4^2 + 31/26*c_0110_4 - 9/13, c_0101_5 - 1, c_0101_8 + 15/26*c_0110_4^7 + 12/13*c_0110_4^6 + 25/26*c_0110_4^5 + 25/13*c_0110_4^4 + 50/13*c_0110_4^3 + 95/26*c_0110_4^2 + 71/13*c_0110_4 + 72/13, c_0110_2 - 3/52*c_0110_4^7 - 5/26*c_0110_4^6 - 5/52*c_0110_4^5 - 9/13*c_0110_4^4 - 5/13*c_0110_4^3 - 71/52*c_0110_4^2 - 11/13*c_0110_4 - 28/13, c_0110_4^8 + 2*c_0110_4^7 + 3*c_0110_4^6 + 4*c_0110_4^5 + 8*c_0110_4^4 + 9*c_0110_4^3 + 12*c_0110_4^2 + 12*c_0110_4 + 8 ], 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_4, c_0011_6, c_0101_0, c_0101_10, c_0101_2, c_0101_5, c_0101_8, c_0110_2, c_0110_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 9564921979/4877062272*c_0110_4^9 + 45723685897/9754124544*c_0110_4^8 - 2762369119/2438531136*c_0110_4^7 - 49640557775/3251374848*c_0110_4^6 - 13884712979/609632784*c_0110_4^5 - 4813671587/180631936*c_0110_4^4 - 20996360633/1083791616*c_0110_4^3 + 39997530193/2438531136*c_0110_4^2 + 91760405405/2438531136*c_0110_4 + 20880139849/1219265568, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 + 77/58596*c_0110_4^9 + 7319/117192*c_0110_4^8 - 1078/14649*c_0110_4^7 + 4235/39064*c_0110_4^6 - 685/29298*c_0110_4^5 - 3623/19532*c_0110_4^4 - 33861/39064*c_0110_4^3 - 2354/14649*c_0110_4^2 - 21382/14649*c_0110_4 + 4970/14649, c_0011_12 - 1, c_0011_4 + 73/58596*c_0110_4^9 - 5237/117192*c_0110_4^8 - 1022/14649*c_0110_4^7 + 4015/39064*c_0110_4^6 + 4297/29298*c_0110_4^5 + 8741/19532*c_0110_4^4 + 27255/39064*c_0110_4^3 - 139/14649*c_0110_4^2 - 5432/14649*c_0110_4 - 5942/14649, c_0011_6 - 2453/9766*c_0110_4^9 - 4359/19532*c_0110_4^8 + 322/4883*c_0110_4^7 + 15193/19532*c_0110_4^6 + 10661/4883*c_0110_4^5 + 17918/4883*c_0110_4^4 + 21735/19532*c_0110_4^3 + 4191/4883*c_0110_4^2 - 21661/9766*c_0110_4 - 18797/4883, c_0101_0 + 81/19532*c_0110_4^9 + 343/39064*c_0110_4^8 + 347/19532*c_0110_4^7 - 6167/39064*c_0110_4^6 + 3315/19532*c_0110_4^5 + 869/19532*c_0110_4^4 + 8049/39064*c_0110_4^3 - 3627/19532*c_0110_4^2 - 1419/9766*c_0110_4 - 8533/4883, c_0101_10 + 2453/9766*c_0110_4^9 + 4359/19532*c_0110_4^8 - 322/4883*c_0110_4^7 - 15193/19532*c_0110_4^6 - 10661/4883*c_0110_4^5 - 17918/4883*c_0110_4^4 - 21735/19532*c_0110_4^3 - 4191/4883*c_0110_4^2 + 21661/9766*c_0110_4 + 18797/4883, c_0101_2 - 77/58596*c_0110_4^9 - 7319/117192*c_0110_4^8 + 1078/14649*c_0110_4^7 - 4235/39064*c_0110_4^6 + 685/29298*c_0110_4^5 + 3623/19532*c_0110_4^4 + 33861/39064*c_0110_4^3 + 2354/14649*c_0110_4^2 + 21382/14649*c_0110_4 - 4970/14649, c_0101_5 - 1, c_0101_8 - 14795/58596*c_0110_4^9 - 33473/117192*c_0110_4^8 + 2044/14649*c_0110_4^7 + 26151/39064*c_0110_4^6 + 64651/29298*c_0110_4^5 + 75295/19532*c_0110_4^4 + 77331/39064*c_0110_4^3 + 14927/14649*c_0110_4^2 - 22219/29298*c_0110_4 - 61361/14649, c_0110_2 + 81/19532*c_0110_4^9 + 343/39064*c_0110_4^8 + 347/19532*c_0110_4^7 - 6167/39064*c_0110_4^6 + 3315/19532*c_0110_4^5 + 869/19532*c_0110_4^4 + 8049/39064*c_0110_4^3 - 3627/19532*c_0110_4^2 - 1419/9766*c_0110_4 - 8533/4883, c_0110_4^10 + 3/2*c_0110_4^9 - 7/2*c_0110_4^7 - 10*c_0110_4^6 - 19*c_0110_4^5 - 27/2*c_0110_4^4 - 4*c_0110_4^3 + 6*c_0110_4^2 + 20*c_0110_4 + 16 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.120 Total time: 0.340 seconds, Total memory usage: 32.09MB