Magma V2.19-8 Wed Aug 21 2013 00:52:21 on localhost [Seed = 3599811446] Type ? for help. Type -D to quit. Loading file "L12a1443__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1443 geometric_solution 10.48045105 oriented_manifold CS_known -0.0000000000000001 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2031 0 2 1 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 0 1 -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 0.962422347700 1.081232201771 0 0 5 4 0132 1302 0132 0132 2 2 0 1 0 0 0 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 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 0.540679983569 0.516022507031 5 0 5 6 0132 0132 3012 0132 0 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.462042919075 0.481482693461 7 8 6 0 0132 0132 0132 0132 0 2 0 2 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 0 -1 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 0.895688123374 0.345488857467 9 5 1 10 0132 0213 0132 0132 2 2 2 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 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 0.481211173850 0.540616100885 2 2 4 1 0132 1230 0213 0132 2 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 0 0 0 0 0 0 0 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 1.032104613385 0.923754936604 9 11 2 3 1302 0132 0132 0132 0 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.465954860520 0.972506812292 3 11 9 12 0132 3012 0132 0132 2 2 2 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.580186344512 0.050737093586 10 3 11 10 3012 0132 0132 2031 0 2 2 0 0 0 0 0 0 0 0 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 -1 0 1 1 0 -1 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 0.981211173850 0.540616100885 4 6 12 7 0132 2031 3201 0132 2 2 0 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.522971432531 1.200740192414 11 8 4 8 2103 1302 0132 1230 2 2 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 0 1 -1 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 0.064209226771 1.847509873208 7 6 10 8 1230 0132 2103 0132 0 2 0 2 0 0 0 0 -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 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 0.846025173300 1.416754190959 9 12 7 12 2310 2310 0132 3201 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.929470194499 0.668663411051 ==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_0110_8'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_10'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_12']), 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : d['c_1001_0'], 'c_1010_10' : negation(d['c_0011_3']), 's_0_10' : d['1'], 's_0_11' : 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_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_0110_8'], 'c_1100_4' : d['c_0110_8'], 'c_1100_7' : negation(d['c_0011_12']), 'c_1100_6' : negation(d['c_1001_4']), 'c_1100_1' : d['c_0110_8'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_1001_4']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_12']), 'c_1100_11' : d['c_0011_3'], 'c_1100_10' : d['c_0110_8'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0110_8'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_11']), 'c_1010_8' : d['c_0011_10'], 'c_1100_8' : d['c_0011_3'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(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' : negation(d['c_0011_12']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : 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' : d['1'], 'c_0011_9' : negation(d['c_0011_4']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_11']), '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_3']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_12' : negation(d['c_0101_10']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0011_4'], 'c_0101_5' : d['c_0011_4'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_12'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : negation(d['c_0011_3']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_0'], 'c_0110_8' : d['c_0110_8'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_12']})} 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_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0110_8, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 50592641/815104*c_1001_4^5 + 126625895/407552*c_1001_4^4 + 29356591/50944*c_1001_4^3 + 52548533/101888*c_1001_4^2 + 285227/1194*c_1001_4 + 3265477/76416, c_0011_0 - 1, c_0011_10 + 297/16*c_1001_4^5 + 1329/16*c_1001_4^4 + 1167/8*c_1001_4^3 + 507/4*c_1001_4^2 + 56*c_1001_4 + 9, c_0011_11 - 33/4*c_1001_4^5 - 105/2*c_1001_4^4 - 513/4*c_1001_4^3 - 309/2*c_1001_4^2 - 191/2*c_1001_4 - 26, c_0011_12 + 33/16*c_1001_4^5 + 309/16*c_1001_4^4 + 489/8*c_1001_4^3 + 351/4*c_1001_4^2 + 61*c_1001_4 + 18, c_0011_3 + 165/16*c_1001_4^5 + 819/16*c_1001_4^4 + 207/2*c_1001_4^3 + 429/4*c_1001_4^2 + 117/2*c_1001_4 + 14, c_0011_4 + 2*c_1001_4 + 1, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 33/16*c_1001_4^5 + 177/16*c_1001_4^4 + 201/8*c_1001_4^3 + 63/2*c_1001_4^2 + 43/2*c_1001_4 + 6, c_0101_12 - 231/16*c_1001_4^5 - 1371/16*c_1001_4^4 - 1563/8*c_1001_4^3 - 885/4*c_1001_4^2 - 129*c_1001_4 - 33, c_0110_8 - c_1001_4 - 1, c_1001_0 + c_1001_4 + 1, c_1001_4^6 + 59/11*c_1001_4^5 + 134/11*c_1001_4^4 + 168/11*c_1001_4^3 + 376/33*c_1001_4^2 + 160/33*c_1001_4 + 32/33 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB