Magma V2.19-8 Tue Aug 20 2013 23:49:14 on localhost [Seed = 1174416578] Type ? for help. Type -D to quit. Loading file "K11n149__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K11n149 geometric_solution 11.13625633 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 0 1 1 0 0 -1 0 0 0 0 -8 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.090315858136 0.545435202347 0 5 2 6 0132 0132 3120 0132 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 -1 0 0 1 8 0 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.588060707730 1.958794391775 7 0 1 8 0132 0132 3120 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 1 0 -1 0 0 0 0 9 -8 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.061655156003 2.007513645237 8 9 10 0 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.651466326917 1.160028055872 8 5 0 11 3120 1230 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.699115055384 1.827451971739 7 1 4 9 1023 0132 3012 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.548453056947 0.440085965583 11 12 1 7 0213 0132 0132 2103 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 1 0 -1 0 1 0 0 -1 -9 1 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.599960030977 1.277944612582 2 5 11 6 0132 1023 0213 2103 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 -1 1 0 0 0 0 0 0 0 0 -9 0 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574774415429 0.248539763825 3 12 2 4 0132 0321 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.680988797035 0.881651313761 10 3 12 5 1023 0132 0321 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.000295138744 0.689645551100 12 9 11 3 0321 1023 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.049328731438 0.915940983611 6 7 4 10 0213 0213 0132 0132 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 1 -1 0 -1 0 1 0 -1 0 0 1 9 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.242395926743 0.542261888685 10 6 9 8 0321 0132 0321 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0.451282241847 0.710404832599 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_5'], 'c_1001_10' : d['c_0101_10'], 'c_1001_12' : negation(d['c_0110_5']), 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : d['c_0110_9'], 'c_1001_7' : d['c_0101_5'], 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : negation(d['c_0110_9']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0110_9'], 'c_1001_2' : d['c_0110_9'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : negation(d['c_0011_4']), 'c_1010_11' : d['c_0101_10'], 'c_1010_10' : d['c_0110_9'], 's_0_10' : d['1'], 's_3_10' : 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' : negation(d['c_0011_12']), '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_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' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : negation(d['c_0110_5']), 'c_1100_8' : negation(d['c_0101_1']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_9']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0101_10'], 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_0101_1']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_5'], 'c_1010_6' : negation(d['c_0110_5']), 'c_1010_5' : negation(d['c_0110_9']), 'c_1010_4' : d['c_0101_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : d['c_0110_9'], 'c_1010_9' : d['c_0110_9'], 'c_1010_8' : negation(d['c_0011_4']), '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'], 'c_1100_12' : d['c_1001_0'], '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_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_12']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0011_11'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_12']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_11'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0110_9'], 'c_0110_8' : negation(d['c_0011_12']), 'c_0110_1' : d['c_0011_11'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0011_11'], 'c_0110_2' : d['c_0011_11'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : negation(d['c_0011_12']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_10'])})} 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_4, c_0101_1, c_0101_10, c_0101_2, c_0101_5, c_0110_5, c_0110_9, c_1001_0, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 220358/135*c_1100_0^6 + 4238/3*c_1100_0^5 + 38902/27*c_1100_0^4 - 155759/45*c_1100_0^3 - 819182/135*c_1100_0^2 - 257174/45*c_1100_0 + 1646696/135, c_0011_0 - 1, c_0011_10 + 4/25*c_1100_0^6 + 6/25*c_1100_0^5 + 7/25*c_1100_0^4 + 8/25*c_1100_0^3 - 12/25*c_1100_0^2 - 22/25*c_1100_0 - 8/25, c_0011_11 + 4/25*c_1100_0^6 + 11/25*c_1100_0^5 + 17/25*c_1100_0^4 + 3/25*c_1100_0^3 - 17/25*c_1100_0^2 - 27/25*c_1100_0 + 12/25, c_0011_12 + 1/25*c_1100_0^6 + 4/25*c_1100_0^5 + 13/25*c_1100_0^4 + 12/25*c_1100_0^3 + 7/25*c_1100_0^2 - 8/25*c_1100_0 - 17/25, c_0011_4 - 4/25*c_1100_0^6 - 1/25*c_1100_0^5 + 3/25*c_1100_0^4 + 12/25*c_1100_0^3 + 7/25*c_1100_0^2 - 8/25*c_1100_0 - 22/25, c_0101_1 + 4/25*c_1100_0^6 + 1/25*c_1100_0^5 - 3/25*c_1100_0^4 - 12/25*c_1100_0^3 - 7/25*c_1100_0^2 + 8/25*c_1100_0 + 22/25, c_0101_10 - 4/25*c_1100_0^6 - 6/25*c_1100_0^5 - 7/25*c_1100_0^4 - 8/25*c_1100_0^3 + 12/25*c_1100_0^2 + 22/25*c_1100_0 + 8/25, c_0101_2 - 1, c_0101_5 + 3/25*c_1100_0^6 + 7/25*c_1100_0^5 + 4/25*c_1100_0^4 - 9/25*c_1100_0^3 - 24/25*c_1100_0^2 - 19/25*c_1100_0 + 4/25, c_0110_5 - 4/25*c_1100_0^6 - 11/25*c_1100_0^5 - 17/25*c_1100_0^4 - 3/25*c_1100_0^3 + 17/25*c_1100_0^2 + 52/25*c_1100_0 - 12/25, c_0110_9 - 1/25*c_1100_0^6 - 4/25*c_1100_0^5 - 13/25*c_1100_0^4 - 12/25*c_1100_0^3 - 7/25*c_1100_0^2 + 33/25*c_1100_0 + 17/25, c_1001_0 + 1/25*c_1100_0^6 - 1/25*c_1100_0^5 + 3/25*c_1100_0^4 - 8/25*c_1100_0^3 - 13/25*c_1100_0^2 - 3/25*c_1100_0 + 13/25, c_1100_0^7 + c_1100_0^6 + c_1100_0^5 - 2*c_1100_0^4 - 4*c_1100_0^3 - 4*c_1100_0^2 + 7*c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 5.120 Total time: 5.330 seconds, Total memory usage: 146.94MB