Magma V2.19-8 Tue Aug 20 2013 23:53:42 on localhost [Seed = 4173239167] Type ? for help. Type -D to quit. Loading file "L13n6857__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n6857 geometric_solution 10.31877867 oriented_manifold CS_known -0.0000000000000003 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 2 1 2 2 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 1 0 -1 -1 0 2 -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 0.029161079749 0.552004555911 0 0 4 4 0132 1302 2103 0132 1 1 2 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 1 0 -1 1 0 0 -1 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.904564939226 1.806537645212 5 0 7 6 0132 0132 0132 0132 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 1 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.894453693413 1.048644223277 4 8 8 0 1230 0132 3201 0132 2 1 2 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 0 0 0 0 0 0 0 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 1.529430309303 1.258942806127 1 3 1 9 2103 3012 0132 0132 1 1 1 2 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 1 -1 0 0 1 -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 0.778391544153 0.442581843076 2 7 10 10 0132 3120 0132 0321 0 1 2 2 0 -1 0 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 -1 0 1 0 0 -1 1 -1 0 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.952282469613 0.903268822606 8 8 2 9 3120 0213 0132 2031 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.167844384124 0.621104656903 11 5 11 2 0132 3120 3012 0132 2 1 2 0 0 -1 1 0 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 -1 2 -1 0 0 0 0 -2 0 0 2 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.047717530387 0.903268822606 3 3 6 6 2310 0132 0213 3120 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.416374955787 0.519814252654 10 6 4 11 0321 1302 0132 0132 1 1 2 1 0 0 1 -1 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 -1 0 1 0 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.529161079749 0.552004555911 9 5 11 5 0321 0321 2031 0132 0 1 2 1 0 -1 1 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 -1 1 0 -2 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 0.447226846706 0.524322111638 7 7 9 10 0132 1230 0132 1302 1 1 0 2 0 0 1 -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 0 1 -1 0 0 0 0 1 0 0 -1 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.547509365930 0.472024306157 ==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_0101_7']), 'c_1001_5' : d['c_0011_11'], 'c_1001_4' : negation(d['c_0011_3']), 'c_1001_7' : negation(d['c_0011_11']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_6']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0101_3']), 'c_1001_8' : d['c_1001_0'], 'c_1010_11' : d['c_0101_7'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_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' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : negation(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' : negation(d['c_0101_7']), 'c_1100_4' : d['c_0101_10'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : negation(d['c_1001_11']), 'c_1100_1' : d['c_0101_10'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_1001_11']), 's_3_11' : negation(d['1']), 'c_1100_9' : d['c_0101_10'], 'c_1100_11' : d['c_0101_10'], 'c_1100_10' : negation(d['c_0101_7']), 's_0_11' : negation(d['1']), 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0011_9'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : negation(d['c_0101_3']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_11'], 'c_1010_8' : negation(d['c_0011_6']), 'c_1100_8' : d['c_0011_9'], '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' : negation(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' : 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_3']), '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' : 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_0101_7'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : negation(d['c_0011_9']), 'c_0101_5' : negation(d['c_0011_9']), 'c_0101_4' : d['c_0011_4'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0011_4'], 'c_0101_0' : d['c_0011_4'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : d['c_0011_6'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_10']), 'c_0110_8' : negation(d['c_0101_3']), 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0011_4'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_9']), 'c_0110_5' : negation(d['c_0011_10']), 'c_0110_4' : negation(d['c_0101_10']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : negation(d['c_0101_3'])})} 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_4, c_0011_6, c_0011_9, c_0101_10, c_0101_3, c_0101_7, c_1001_0, c_1001_11 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 58545635/7134194176*c_1001_11^6 - 383442137/21402582528*c_1001_11^5 - 649361823/7134194176*c_1001_11^4 + 978051401/5350645632*c_1001_11^3 + 1017165705/3567097088*c_1001_11^2 - 3712818761/7134194176*c_1001_11 - 1349459737/21402582528, c_0011_0 - 1, c_0011_10 - 233/1767*c_1001_11^6 + 23/1767*c_1001_11^5 + 4547/1767*c_1001_11^4 - 650/1767*c_1001_11^3 - 9698/589*c_1001_11^2 + 635/1767*c_1001_11 + 61111/1767, c_0011_11 - 1, c_0011_3 + 443/1767*c_1001_11^6 + 113/1767*c_1001_11^5 - 8903/1767*c_1001_11^4 - 1196/1767*c_1001_11^3 + 19781/589*c_1001_11^2 + 5527/1767*c_1001_11 - 129140/1767, c_0011_4 - 1, c_0011_6 + 35/93*c_1001_11^6 + 2/93*c_1001_11^5 - 695/93*c_1001_11^4 - 8/93*c_1001_11^3 + 1510/31*c_1001_11^2 + 190/93*c_1001_11 - 9659/93, c_0011_9 + 466/1767*c_1001_11^6 - 46/1767*c_1001_11^5 - 9094/1767*c_1001_11^4 + 1300/1767*c_1001_11^3 + 19396/589*c_1001_11^2 - 3037/1767*c_1001_11 - 122222/1767, c_0101_10 + 443/1767*c_1001_11^6 + 113/1767*c_1001_11^5 - 8903/1767*c_1001_11^4 - 1196/1767*c_1001_11^3 + 19781/589*c_1001_11^2 + 5527/1767*c_1001_11 - 130907/1767, c_0101_3 - 61/589*c_1001_11^6 - 169/1767*c_1001_11^5 + 1198/589*c_1001_11^4 + 2164/1767*c_1001_11^3 - 7718/589*c_1001_11^2 - 2665/589*c_1001_11 + 45727/1767, c_0101_7 + 233/1767*c_1001_11^6 - 23/1767*c_1001_11^5 - 4547/1767*c_1001_11^4 + 650/1767*c_1001_11^3 + 9698/589*c_1001_11^2 - 2402/1767*c_1001_11 - 61111/1767, c_1001_0 - 443/1767*c_1001_11^6 - 113/1767*c_1001_11^5 + 8903/1767*c_1001_11^4 + 1196/1767*c_1001_11^3 - 19781/589*c_1001_11^2 - 5527/1767*c_1001_11 + 130907/1767, c_1001_11^7 - 2*c_1001_11^6 - 20*c_1001_11^5 + 41*c_1001_11^4 + 130*c_1001_11^3 - 265*c_1001_11^2 - 286*c_1001_11 + 577 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB