Magma V2.19-8 Tue Aug 20 2013 23:39:23 on localhost [Seed = 3364793492] Type ? for help. Type -D to quit. Loading file "K11n65__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n65 geometric_solution 11.41674536 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 0 0 0 0 0 -1 1 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 0 -1 -1 0 0 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 0.248589897919 0.773404346829 0 4 5 0 0132 0132 0132 2031 0 0 0 0 0 0 0 0 -1 0 0 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 0 0 0 1 0 0 -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 0.646223398506 0.665138762499 6 7 5 0 0132 0132 1302 0132 0 0 0 0 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 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 -0.057119574477 0.968043333830 7 8 0 9 3012 0132 0132 0132 0 0 0 0 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 -1 1 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 0.517494840474 0.773463706278 10 1 10 6 0132 0132 3012 2103 0 0 0 0 0 0 0 0 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 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 0.930123716043 1.133962331214 2 11 9 1 2031 0132 2031 0132 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 0 0 0 0.733373534712 0.570024521905 2 11 7 4 0132 3201 1023 2103 0 0 0 0 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 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 0.426336759623 1.092483990413 8 2 6 3 2310 0132 1023 1230 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 1 0 -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 -0.064897518309 1.616216225117 10 3 7 11 3012 0132 3201 1023 0 0 0 0 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 -1 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 0.443787398413 0.521006889699 10 11 3 5 2103 1023 0132 1302 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 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 0.246746322509 0.822154239202 4 4 9 8 0132 1230 2103 1230 0 0 0 0 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 0 0 0 0 0 -1 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 0.054136050571 0.878527572333 9 5 6 8 1023 0132 2310 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.443426023726 0.659034684474 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_1'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0110_8'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_0110_11'], 'c_1001_2' : d['c_0101_1'], 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_11'], 'c_1010_11' : d['c_0110_8'], 'c_1010_10' : negation(d['c_0011_3']), '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_11'], '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' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_0110_11']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0110_11']), 'c_1100_0' : d['c_0101_5'], 'c_1100_3' : d['c_0101_5'], 'c_1100_2' : d['c_0101_5'], 's_3_11' : d['1'], 'c_1100_9' : d['c_0101_5'], 'c_1100_11' : negation(d['c_0011_2']), 'c_1100_10' : d['c_0110_8'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_1'], 'c_1010_6' : negation(d['c_1001_1']), 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : d['c_0101_11'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_0110_11'], 'c_1010_9' : d['c_0110_11'], 'c_1010_8' : d['c_0110_11'], 'c_1100_8' : d['c_0011_2'], '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' : d['c_0011_11'], '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_2']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0011_3']), 'c_0101_7' : negation(d['c_0101_11']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], '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_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_8']), '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_10'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0011_3'], 'c_0110_6' : d['c_0011_11']})} 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_11, c_0011_2, c_0011_3, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0110_11, c_0110_8, c_1001_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3/85*c_0110_11^2*c_1001_1 - 1/17*c_0110_11^2 - 14/85*c_0110_11*c_1001_1 + 1/17*c_0110_11 - 57/170*c_1001_1 - 27/170, c_0011_0 - 1, c_0011_11 - 2/5*c_0110_11^2*c_1001_1 - 1/5*c_0110_11^2 + 2/5*c_0110_11*c_1001_1 - 4/5*c_0110_11 - c_1001_1 + 2, c_0011_2 + 3/5*c_0110_11^2*c_1001_1 - 1/5*c_0110_11^2 + 7/5*c_0110_11*c_1001_1 + 1/5*c_0110_11, c_0011_3 - 1, c_0101_0 - 2/5*c_0110_11^2*c_1001_1 - 1/5*c_0110_11^2 - 3/5*c_0110_11*c_1001_1 - 4/5*c_0110_11 - c_1001_1, c_0101_1 - 1/5*c_0110_11^2*c_1001_1 + 2/5*c_0110_11^2 - 4/5*c_0110_11*c_1001_1 - 2/5*c_0110_11 + 1, c_0101_10 - 2/5*c_0110_11^2*c_1001_1 - 1/5*c_0110_11^2 + 2/5*c_0110_11*c_1001_1 - 4/5*c_0110_11 + 2, c_0101_11 - 1/5*c_0110_11^2*c_1001_1 - 3/5*c_0110_11^2 + 6/5*c_0110_11*c_1001_1 - 7/5*c_0110_11, c_0101_5 - 3/5*c_0110_11^2*c_1001_1 + 1/5*c_0110_11^2 - 7/5*c_0110_11*c_1001_1 - 6/5*c_0110_11, c_0110_11^3 - 3*c_0110_11^2*c_1001_1 + 2*c_0110_11^2 - c_0110_11*c_1001_1 - c_0110_11 + c_1001_1 + 2, c_0110_8 + c_1001_1, c_1001_1^2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.650 Total time: 0.860 seconds, Total memory usage: 32.09MB