Magma V2.19-8 Tue Aug 20 2013 23:57:44 on localhost [Seed = 3835857953] Type ? for help. Type -D to quit. Loading file "L14n33639__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33639 geometric_solution 10.96272941 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 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 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 0.847074987086 0.992076109024 0 5 7 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 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 0.247885573642 2.140468126904 3 0 8 6 1023 0132 0132 1023 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 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.249293964441 0.734881267002 5 2 7 0 0132 1023 3012 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 0 -1 0 0 0 0 -1 1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.080667443951 0.371555599408 9 8 0 8 0132 2103 0132 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.046439338253 1.236625907613 3 1 10 10 0132 0132 0132 2031 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 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248923657620 1.179769977279 10 10 1 2 0132 1230 0132 1023 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 0 0 5 -4 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.248923657620 1.179769977279 11 3 8 1 0132 1230 1023 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 0.238200743213 0.441828937703 4 4 7 2 3120 2103 1023 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.408375115736 0.899794652311 4 11 11 11 0132 0321 0213 0132 0 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 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.030324755614 0.807513195598 6 5 6 5 0132 1302 3012 0132 1 1 1 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 0 -1 0 1 -5 1 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.828779611184 0.811496489142 7 9 9 9 0132 0213 0132 0321 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 -3 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 0.601246906846 0.471225027299 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_0011_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_0101_8'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_10'], 'c_1001_3' : d['c_0011_11'], 'c_1001_2' : d['c_0011_8'], 'c_1001_9' : d['c_1001_11'], 'c_1001_8' : d['c_0011_4'], 'c_1010_11' : d['c_1001_11'], 'c_1010_10' : d['c_1001_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_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' : d['c_1001_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_1001_5']), 'c_1100_4' : negation(d['c_0101_8']), 'c_1100_7' : d['c_1100_1'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_8']), 'c_1100_3' : negation(d['c_0101_8']), 'c_1100_2' : negation(d['c_1100_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1001_11'], 'c_1100_10' : negation(d['c_1001_5']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : negation(d['c_0011_8']), 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_10'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : d['c_0011_8'], 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : d['c_0011_8'], 'c_1100_8' : negation(d['c_1100_1']), 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_10']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0011_4'], 'c_0110_10' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_10'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_10'], 'c_0110_5' : d['c_0011_10'], 'c_0110_4' : d['c_0011_11'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_4, c_0011_8, c_0101_0, c_0101_1, c_0101_10, c_0101_8, c_1001_11, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 90256381/162350*c_1100_1^7 + 105261492/81175*c_1100_1^6 - 280824467/81175*c_1100_1^5 - 253907171/32470*c_1100_1^4 + 2810842/16235*c_1100_1^3 - 263146253/162350*c_1100_1^2 - 133538674/81175*c_1100_1 - 269852363/162350, c_0011_0 - 1, c_0011_10 - 16/125*c_1100_1^7 - 49/125*c_1100_1^6 + 99/125*c_1100_1^5 + 61/25*c_1100_1^4 - 9/25*c_1100_1^3 + 8/125*c_1100_1^2 + 353/125*c_1100_1 - 7/125, c_0011_11 - 36/125*c_1100_1^7 - 79/125*c_1100_1^6 + 254/125*c_1100_1^5 + 106/25*c_1100_1^4 - 39/25*c_1100_1^3 - 232/125*c_1100_1^2 + 138/125*c_1100_1 + 78/125, c_0011_4 + 52/125*c_1100_1^7 + 128/125*c_1100_1^6 - 353/125*c_1100_1^5 - 167/25*c_1100_1^4 + 23/25*c_1100_1^3 + 224/125*c_1100_1^2 + 134/125*c_1100_1 - 71/125, c_0011_8 + 36/125*c_1100_1^7 + 79/125*c_1100_1^6 - 254/125*c_1100_1^5 - 106/25*c_1100_1^4 + 39/25*c_1100_1^3 + 232/125*c_1100_1^2 - 13/125*c_1100_1 - 78/125, c_0101_0 + 14/125*c_1100_1^7 - 4/125*c_1100_1^6 - 196/125*c_1100_1^5 + 6/25*c_1100_1^4 + 136/25*c_1100_1^3 - 7/125*c_1100_1^2 - 12/125*c_1100_1 + 53/125, c_0101_1 + 16/125*c_1100_1^7 + 49/125*c_1100_1^6 - 99/125*c_1100_1^5 - 61/25*c_1100_1^4 - 16/25*c_1100_1^3 - 8/125*c_1100_1^2 + 272/125*c_1100_1 + 7/125, c_0101_10 + 1, c_0101_8 + 36/125*c_1100_1^7 + 79/125*c_1100_1^6 - 254/125*c_1100_1^5 - 106/25*c_1100_1^4 + 39/25*c_1100_1^3 + 232/125*c_1100_1^2 - 13/125*c_1100_1 - 78/125, c_1001_11 - 1, c_1001_5 + 31/125*c_1100_1^7 + 9/125*c_1100_1^6 - 309/125*c_1100_1^5 - 1/25*c_1100_1^4 + 144/25*c_1100_1^3 - 328/125*c_1100_1^2 + 27/125*c_1100_1 + 37/125, c_1100_1^8 + 2*c_1100_1^7 - 7*c_1100_1^6 - 12*c_1100_1^5 + 5*c_1100_1^4 - 3*c_1100_1^3 - 2*c_1100_1^2 - 2*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB