Magma V2.19-8 Wed Aug 21 2013 00:59:45 on localhost [Seed = 3448493808] Type ? for help. Type -D to quit. Loading file "L13n7653__sl2_c6.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n7653 geometric_solution 12.59720665 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 3 0132 0132 0132 3120 2 0 2 2 0 0 0 0 1 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 -1 0 1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.095889020576 0.985311171449 0 4 5 5 0132 0132 2103 0132 2 0 2 2 0 -1 1 0 -1 0 -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 2 -2 0 0 0 -1 1 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.485071501009 0.810656382467 6 0 7 6 0132 0132 0132 1302 2 2 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 1 -1 0 0 0 0 0 0 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.664583545922 1.108508262991 0 8 5 0 3120 0132 0132 0132 2 0 2 2 0 0 0 0 0 0 -1 1 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 -1 -2 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.505582870940 0.550990378579 9 1 9 10 0132 0132 3120 0132 2 1 2 2 0 1 -1 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 -2 2 0 0 0 1 -1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537403660366 0.738700246188 1 11 1 3 2103 0132 0132 0132 2 0 2 2 0 0 0 0 1 0 -2 1 -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 1 0 -1 0 2 1 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.456477022424 0.908341079352 2 9 2 11 0132 0132 2031 2103 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 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 0.644273130189 0.753522576334 12 12 9 2 0132 1302 2031 0132 2 2 2 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 0 0 0 -1 0 1 1 0 -1 0 0 2 0 -2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.318971778586 0.674489623970 10 3 10 12 3120 0132 2103 3201 2 1 2 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 2 -1 0 2 0 -2 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.095889020576 0.985311171449 4 6 4 7 0132 0132 3120 1302 2 1 2 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 -1 0 1 0 0 -1 1 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537403660366 0.738700246188 8 11 4 8 2103 3012 0132 3120 2 1 2 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 -2 0 1 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 0.495403100792 0.453681853301 10 5 12 6 1230 0132 3120 2103 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 -1 0 0 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.146986602747 0.821874741707 7 8 11 7 0132 2310 3120 2031 2 2 1 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 2 0 -2 -1 0 0 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 0.741266751616 0.734149800020 ==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' : negation(d['c_0011_11']), 'c_1001_12' : negation(d['c_1001_11']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_4']), 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0011_10'], 'c_1001_3' : d['c_1001_11'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : negation(d['c_1001_4']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : negation(d['c_0011_12']), 'c_1010_11' : d['c_1001_4'], 'c_1010_10' : d['c_0011_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : negation(d['c_0011_3']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(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_12' : negation(d['1']), 's_2_10' : d['1'], 's_2_11' : negation(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' : negation(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' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0101_10']), 'c_1100_7' : d['c_0101_6'], 'c_1100_6' : negation(d['c_0011_10']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_0101_6'], 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : negation(d['c_1001_4']), 'c_1010_5' : d['c_1001_11'], 'c_1010_4' : negation(d['c_0011_11']), 'c_1010_3' : d['c_0011_10'], 'c_1010_2' : d['c_0011_10'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : negation(d['c_0101_6']), 'c_1010_8' : d['c_1001_11'], 'c_1100_8' : negation(d['c_0011_12']), 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : negation(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']), 'c_1100_12' : d['c_0011_3'], 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_11']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : d['c_0011_0'], '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_0011_10'], 'c_0110_10' : d['c_0011_12'], 'c_0110_12' : negation(d['c_0101_4']), 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0101_4']), 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_12'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_10'], 's_1_12' : negation(d['1']), 's_1_11' : negation(d['1']), 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_4'], 'c_0110_8' : d['c_0011_12'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_12'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : 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_11, c_0011_12, c_0011_3, c_0101_0, c_0101_10, c_0101_12, c_0101_3, c_0101_4, c_0101_6, c_1001_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t - 13061167953/19031901177194*c_1001_4^4 - 4964811982/9515950588597*c_1001_4^3 - 12550864343/1247993519816*c_1001_4^2 - 395059977091/76127604708776*c_1001_4 - 3522399976291/152255209417552, c_0011_0 - 1, c_0011_10 + 248/7829*c_1001_4^4 - 418/7829*c_1001_4^3 + 4369/7829*c_1001_4^2 - 10060/7829*c_1001_4 + 1148/7829, c_0011_11 + 1314/7829*c_1001_4^4 - 2341/7829*c_1001_4^3 + 17782/7829*c_1001_4^2 - 41432/7829*c_1001_4 + 29317/7829, c_0011_12 + 3020/7829*c_1001_4^4 - 6858/7829*c_1001_4^3 + 40702/7829*c_1001_4^2 - 81592/7829*c_1001_4 + 73076/7829, c_0011_3 - 1066/7829*c_1001_4^4 + 1923/7829*c_1001_4^3 - 13413/7829*c_1001_4^2 + 23543/7829*c_1001_4 - 28169/7829, c_0101_0 - 1, c_0101_10 + 640/7829*c_1001_4^4 - 2594/7829*c_1001_4^3 + 9507/7829*c_1001_4^2 - 32275/7829*c_1001_4 + 39077/7829, c_0101_12 + 248/7829*c_1001_4^4 - 418/7829*c_1001_4^3 + 4369/7829*c_1001_4^2 - 10060/7829*c_1001_4 + 16806/7829, c_0101_3 + 1314/7829*c_1001_4^4 - 2341/7829*c_1001_4^3 + 17782/7829*c_1001_4^2 - 33603/7829*c_1001_4 + 29317/7829, c_0101_4 - 1, c_0101_6 + 222/7829*c_1001_4^4 - 753/7829*c_1001_4^3 + 3469/7829*c_1001_4^2 - 4712/7829*c_1001_4 + 270/7829, c_1001_11 + 1776/7829*c_1001_4^4 - 6024/7829*c_1001_4^3 + 27752/7829*c_1001_4^2 - 69012/7829*c_1001_4 + 64792/7829, c_1001_4^5 - 3*c_1001_4^4 + 61/4*c_1001_4^3 - 75/2*c_1001_4^2 + 187/4*c_1001_4 - 61/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB