Magma V2.19-8 Tue Aug 20 2013 23:52:44 on localhost [Seed = 695157498] Type ? for help. Type -D to quit. Loading file "L13n3669__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n3669 geometric_solution 10.33670135 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 2 0132 0132 0132 0213 0 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 1 -1 0 0 -1 1 0 0 0 0 6 -1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784823330742 0.496641328294 0 3 5 4 0132 3120 0132 0132 0 1 1 0 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 -6 0 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.230819127441 0.647617439070 3 0 6 0 2310 0132 0132 0213 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 -1 1 0 0 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.784823330742 0.496641328294 5 1 2 0 0132 3120 3201 0132 0 1 1 0 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 1 -1 -1 0 0 1 -5 0 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.413522854533 0.471923482849 7 5 1 6 0132 2103 0132 2310 0 1 0 1 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 1 -1 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.414808116204 0.330600084614 3 4 8 1 0132 2103 0132 0132 0 1 0 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 1 -1 0 1 0 -1 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 0.005608427149 0.864715104901 4 9 10 2 3201 0132 0132 0132 0 0 0 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 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 0.608672975146 0.506577797924 4 11 10 8 0132 0132 3201 3120 1 1 1 0 0 0 0 0 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 1 -1 0 0 0 0 0 -6 6 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.025312042532 1.113774039935 7 10 9 5 3120 0132 3201 0132 0 1 1 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 -1 0 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 0.351785431261 1.145221182525 8 6 11 11 2310 0132 2031 1302 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 0 0 0 0 0 0 0 0 0 0 0 2 -1 -1 0 0 0 0 1 0 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.039541593593 1.651798980449 7 8 11 6 2310 0132 2103 0132 0 0 1 1 0 -1 0 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 1 0 -1 0 0 0 0 0 0 0 0 1 5 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.713953171732 0.341397213336 10 7 9 9 2103 0132 2031 1302 1 0 0 1 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 1 -1 0 -1 0 1 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.960458406407 1.651798980449 ==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' : d['c_0011_11'], 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : negation(d['c_0101_9']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_0101_2']), 'c_1001_2' : negation(d['c_0110_11']), 'c_1001_9' : negation(d['c_0110_11']), 'c_1001_8' : negation(d['c_0101_9']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_9']), '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_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' : d['1'], 's_2_4' : 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_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : d['c_0011_6'], 'c_1100_4' : d['c_0011_6'], 'c_1100_7' : negation(d['c_0011_10']), 'c_1100_6' : negation(d['c_0110_11']), 'c_1100_1' : d['c_0011_6'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0110_11']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0110_11']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_10'], 'c_1010_6' : negation(d['c_0110_11']), 'c_1010_5' : d['c_0101_2'], 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0110_11']), 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_0011_11'], 'c_1100_8' : d['c_0011_6'], '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'], '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_6']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : d['c_0011_11'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : d['c_0011_6'], '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_0110_11'], 'c_0110_10' : d['c_0101_6'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0101_6']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : d['c_0101_0'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_1']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_6']), 'c_0110_7' : d['c_0101_0'], 'c_0110_6' : d['c_0101_2']})} 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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_6, c_0101_9, c_0110_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 3631961/830520*c_0110_11^12 - 13699993/830520*c_0110_11^11 - 1281796/20763*c_0110_11^10 - 115133993/830520*c_0110_11^9 - 73418249/276840*c_0110_11^8 - 61269959/166104*c_0110_11^7 - 8141489/20763*c_0110_11^6 - 10541737/41526*c_0110_11^5 + 43189/103815*c_0110_11^4 + 16060109/69210*c_0110_11^3 + 89364527/276840*c_0110_11^2 + 2417968/11535*c_0110_11 + 12424789/166104, c_0011_0 - 1, c_0011_10 + 1/2*c_0110_11^12 + 5/2*c_0110_11^11 + 10*c_0110_11^10 + 55/2*c_0110_11^9 + 121/2*c_0110_11^8 + 215/2*c_0110_11^7 + 154*c_0110_11^6 + 181*c_0110_11^5 + 168*c_0110_11^4 + 122*c_0110_11^3 + 127/2*c_0110_11^2 + 23*c_0110_11 + 11/2, c_0011_11 - c_0110_11^4 - c_0110_11^3 - 3*c_0110_11^2 - 2*c_0110_11 - 1, c_0011_3 + c_0110_11^2 + c_0110_11 + 1, c_0011_6 - c_0110_11^3 - c_0110_11^2 - 2*c_0110_11 - 1, c_0101_0 - 1, c_0101_1 + c_0110_11 + 1, c_0101_10 + c_0110_11^12 + 4*c_0110_11^11 + 15*c_0110_11^10 + 36*c_0110_11^9 + 73*c_0110_11^8 + 116*c_0110_11^7 + 152*c_0110_11^6 + 160*c_0110_11^5 + 134*c_0110_11^4 + 86*c_0110_11^3 + 38*c_0110_11^2 + 12*c_0110_11 + 2, c_0101_2 + c_0110_11^2, c_0101_6 - c_0110_11^5 - c_0110_11^4 - 4*c_0110_11^3 - 3*c_0110_11^2 - 3*c_0110_11 - 1, c_0101_9 + c_0110_11^4 + c_0110_11^3 + 3*c_0110_11^2 + 2*c_0110_11 + 1, c_0110_11^13 + 5*c_0110_11^12 + 20*c_0110_11^11 + 55*c_0110_11^10 + 123*c_0110_11^9 + 221*c_0110_11^8 + 328*c_0110_11^7 + 400*c_0110_11^6 + 398*c_0110_11^5 + 318*c_0110_11^4 + 195*c_0110_11^3 + 90*c_0110_11^2 + 29*c_0110_11 + 6 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.080 Total time: 0.290 seconds, Total memory usage: 32.09MB