Magma V2.19-8 Wed Aug 21 2013 00:51:24 on localhost [Seed = 1074156846] Type ? for help. Type -D to quit. Loading file "L11a417__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a417 geometric_solution 11.74011858 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 2 0 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 0 0 0 0 0 0 0 0 0 -1 0 1 -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 0.649554845066 0.380088827384 0 2 3 5 0132 0213 0213 0132 2 0 0 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.576827325363 0.447111205026 5 0 1 5 1230 0132 0213 0213 2 0 0 2 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 1 0 -1 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 0.891345943136 0.571248038812 6 1 7 0 0132 0213 0132 0132 2 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290608504158 1.302001352883 6 8 0 9 1302 0132 0132 0132 2 0 0 2 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 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 1.318402152080 2.378861771945 6 2 1 2 2103 3012 0132 0213 2 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 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 0.321338090484 1.689433043572 3 4 5 10 0132 2031 2103 0132 0 0 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 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 1.303686484394 0.948608117988 8 8 11 3 2310 0321 0132 0132 2 0 2 2 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 1 0 0 -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 0.316458647590 0.641658227041 12 4 7 7 0132 0132 3201 0321 2 2 2 0 0 -1 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 0 0 0 0 -3 3 0 3 0 0 -3 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316458647590 0.641658227041 10 11 4 11 3120 2031 0132 0132 2 0 1 0 0 0 1 -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 0 2 -2 0 0 0 0 -1 -2 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316458647590 0.641658227041 12 12 6 9 3201 2103 0132 3120 0 0 1 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 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 0.777675856916 0.730024759734 9 12 9 7 1302 1230 0132 0132 2 0 2 1 0 -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 -2 2 0 0 0 0 0 0 0 0 0 2 1 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.316458647590 0.641658227041 8 10 11 10 0132 2103 3012 2310 1 2 0 2 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 -3 0 2 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 0.316458647590 0.641658227041 ==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_0011_12'], 'c_1001_12' : d['c_0011_10'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_7']), 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_1'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : negation(d['c_0101_7']), 'c_1001_8' : negation(d['c_0101_7']), 'c_1010_12' : d['c_0011_9'], 'c_1010_11' : negation(d['c_0011_7']), 'c_1010_10' : negation(d['c_0011_9']), 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : negation(d['c_0011_7']), 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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' : 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' : negation(d['1']), 's_0_6' : negation(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' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : d['c_1001_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_0'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0011_5'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_12'], 'c_1010_5' : d['c_0011_0'], 'c_1010_4' : negation(d['c_0101_7']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_1'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(d['1']), 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_0011_10'], '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_9'], 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_12'], 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_10'], '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' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0011_3'], 'c_0011_6' : negation(d['c_0011_3']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_3'], 'c_0101_3' : d['c_0101_10'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0011_3'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_5']), 'c_0101_8' : negation(d['c_0101_10']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_9']), 'c_0110_8' : negation(d['c_0011_7']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_5']), 'c_0110_4' : negation(d['c_0011_5']), 'c_0110_7' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0011_7']), 's_2_9' : negation(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_12, c_0011_3, c_0011_5, c_0011_7, c_0011_9, c_0101_0, c_0101_10, c_0101_7, c_1001_0, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 2612037359971/72407420928*c_1100_0^8 - 42617242757/3148148736*c_1100_0^7 + 14445811188181/72407420928*c_1100_0^6 - 2830092449589/8045268992*c_1100_0^5 + 14669920670407/36203710464*c_1100_0^4 - 80270873171441/72407420928*c_1100_0^3 + 61808173081309/72407420928*c_1100_0^2 - 69229253113/64190976*c_1100_0 - 13922536291829/72407420928, c_0011_0 - 1, c_0011_10 - 1051/33417*c_1100_0^8 + 643/33417*c_1100_0^7 - 6604/33417*c_1100_0^6 + 3026/11139*c_1100_0^5 - 10883/33417*c_1100_0^4 + 35777/33417*c_1100_0^3 + 6470/33417*c_1100_0^2 + 103/237*c_1100_0 + 8537/33417, c_0011_12 - c_1100_0, c_0011_3 - 530/11139*c_1100_0^8 - 1397/22278*c_1100_0^7 - 4933/22278*c_1100_0^6 + 293/3713*c_1100_0^5 + 4381/22278*c_1100_0^4 + 10273/11139*c_1100_0^3 + 10936/11139*c_1100_0^2 + 56/79*c_1100_0 + 17693/22278, c_0011_5 + 1961/267336*c_1100_0^8 - 14681/267336*c_1100_0^7 + 9683/267336*c_1100_0^6 - 28189/89112*c_1100_0^5 + 63617/133668*c_1100_0^4 - 139375/267336*c_1100_0^3 + 425147/267336*c_1100_0^2 - 431/474*c_1100_0 + 434549/267336, c_0011_7 + 631/66834*c_1100_0^8 + 695/66834*c_1100_0^7 + 5162/33417*c_1100_0^6 - 4265/22278*c_1100_0^5 + 10723/33417*c_1100_0^4 - 26113/33417*c_1100_0^3 + 25688/33417*c_1100_0^2 - 157/474*c_1100_0 + 18152/33417, c_0011_9 - 1, c_0101_0 - 1, c_0101_10 + 185/66834*c_1100_0^8 - 1385/66834*c_1100_0^7 + 772/33417*c_1100_0^6 - 2239/22278*c_1100_0^5 - 934/33417*c_1100_0^4 - 3737/33417*c_1100_0^3 - 3590/33417*c_1100_0^2 - 185/474*c_1100_0 - 2516/33417, c_0101_7 - 185/66834*c_1100_0^8 + 1385/66834*c_1100_0^7 - 772/33417*c_1100_0^6 + 2239/22278*c_1100_0^5 + 934/33417*c_1100_0^4 + 3737/33417*c_1100_0^3 + 3590/33417*c_1100_0^2 + 185/474*c_1100_0 + 2516/33417, c_1001_0 - 2089/66834*c_1100_0^8 + 2995/66834*c_1100_0^7 - 3479/33417*c_1100_0^6 + 9989/22278*c_1100_0^5 - 10768/33417*c_1100_0^4 + 28831/33417*c_1100_0^3 - 47972/33417*c_1100_0^2 + 193/474*c_1100_0 - 45107/33417, c_1001_1 - 5269/66834*c_1100_0^8 - 598/33417*c_1100_0^7 - 21757/66834*c_1100_0^6 + 11747/22278*c_1100_0^5 - 8393/66834*c_1100_0^4 + 59650/33417*c_1100_0^3 - 15164/33417*c_1100_0^2 + 529/474*c_1100_0 - 37135/66834, c_1100_0^9 + 6*c_1100_0^7 - 8*c_1100_0^6 + 11*c_1100_0^5 - 33*c_1100_0^4 + 20*c_1100_0^3 - 41*c_1100_0^2 + c_1100_0 - 23 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.240 seconds, Total memory usage: 32.09MB