Magma V2.19-8 Tue Aug 20 2013 23:40:35 on localhost [Seed = 4020865912] Type ? for help. Type -D to quit. Loading file "L11n127__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n127 geometric_solution 9.56130097 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 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 -1 1 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 0.362228333166 0.641131251199 0 4 6 5 0132 2103 0132 0132 0 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 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 0.779690557450 0.468685302697 7 0 7 6 0132 0132 3012 2310 1 0 1 1 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 -1 0 -3 0 3 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 0.393829051432 0.675563107860 8 4 9 0 0132 3012 0132 0132 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 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 -0.754613588408 0.231539409253 3 1 0 9 1230 2103 0132 0132 1 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 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 0.020546713862 1.079650503202 10 7 1 8 0132 0213 0132 2103 0 1 0 1 0 0 0 0 1 0 0 -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 -1 1 0 2 0 1 -3 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.155981356778 1.465529046359 2 9 10 1 3201 2103 0213 0132 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 3 -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 0.873447393081 1.162107127520 2 2 5 10 0132 1230 0213 3012 0 0 1 1 0 -1 0 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 0 -3 1 2 3 0 0 -3 -1 0 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.735797290535 0.820028583559 3 9 10 5 0132 2031 0132 2103 0 1 0 1 0 1 0 -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 2 0 -2 0 0 -3 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 0.550700910634 0.959784135271 8 6 4 3 1302 2103 0132 0132 1 1 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 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.074024269402 1.176769533327 5 6 7 8 0132 0213 1230 0132 0 1 1 0 0 -1 1 0 -1 0 0 1 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 -3 3 0 -2 0 -1 3 0 0 0 0 2 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.393884723515 0.437558442761 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : d['c_0011_9'], 'c_1001_5' : negation(d['c_0011_6']), 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0011_6']), 'c_1001_6' : d['c_0011_9'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_4']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : negation(d['c_0101_3']), 'c_1010_10' : negation(d['c_0101_3']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_9']), 'c_1100_6' : negation(d['c_0101_3']), 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_6'], 'c_1100_10' : negation(d['c_0101_10']), 'c_1010_7' : negation(d['c_0101_10']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_9']), 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : negation(d['c_0101_1']), 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0011_6']), 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_9'], 's_3_1' : d['1'], 's_3_0' : negation(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' : d['1'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : 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' : d['1'], 'c_0011_9' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], '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_10' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_10']), 'c_0101_6' : d['c_0011_10'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0101_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_3'], 'c_0101_8' : d['c_0101_0'], 'c_0011_10' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_10']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0011_3'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_6, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t - 48391/7920*c_1100_0^6 + 4369/2640*c_1100_0^5 - 431/880*c_1100_0^4 + 67423/990*c_1100_0^3 - 207679/7920*c_1100_0^2 - 32699/7920*c_1100_0 - 488369/2640, c_0011_0 - 1, c_0011_10 + 1/24*c_1100_0^6 - 1/8*c_1100_0^5 - 1/8*c_1100_0^4 - 7/12*c_1100_0^3 + 19/24*c_1100_0^2 + 5/24*c_1100_0 + 9/8, c_0011_3 + 1/12*c_1100_0^6 - 2/3*c_1100_0^3 + 1/3*c_1100_0^2 - 1/3*c_1100_0 + 1/4, c_0011_4 - 1, c_0011_6 + 1/48*c_1100_0^6 - 3/16*c_1100_0^5 - 1/16*c_1100_0^4 - 1/6*c_1100_0^3 + 61/48*c_1100_0^2 - 7/48*c_1100_0 - 1/16, c_0011_9 + 1/24*c_1100_0^6 - 1/8*c_1100_0^5 - 1/8*c_1100_0^4 - 7/12*c_1100_0^3 + 19/24*c_1100_0^2 + 5/24*c_1100_0 + 9/8, c_0101_0 - 1/24*c_1100_0^6 + 1/8*c_1100_0^4 + 11/24*c_1100_0^3 - 5/12*c_1100_0^2 - 35/24*c_1100_0 - 1, c_0101_1 - 1/48*c_1100_0^6 + 1/16*c_1100_0^5 - 3/16*c_1100_0^4 + 7/24*c_1100_0^3 - 19/48*c_1100_0^2 + 55/48*c_1100_0 - 9/16, c_0101_10 - 1/12*c_1100_0^6 + 2/3*c_1100_0^3 - 1/3*c_1100_0^2 - 2/3*c_1100_0 - 5/4, c_0101_3 - 1/24*c_1100_0^6 - 1/8*c_1100_0^4 + 5/24*c_1100_0^3 + 1/12*c_1100_0^2 + 19/24*c_1100_0 + 3/4, c_1100_0^7 - 11*c_1100_0^4 + c_1100_0^3 + 2*c_1100_0^2 + 30*c_1100_0 + 9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB