Magma V2.19-8 Tue Aug 20 2013 20:58:22 on localhost [Seed = 2260780148] Type ? for help. Type -D to quit. Loading file "9^2_42__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_42 geometric_solution 13.94841773 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 2 3 0132 0132 1302 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 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.706415891335 0.837053100887 0 4 6 5 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764807281720 0.959385665646 0 0 8 7 2031 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 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411163708018 0.697729553035 9 9 0 10 0132 1230 0132 0132 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 0 0 0 0 0 0 1 -1 0 -1 0 1 0 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631281006830 0.695852870788 5 1 11 12 0213 0132 0132 0132 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 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 0.705290243533 0.540869163873 4 13 1 14 0213 0132 0132 0132 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 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 0 0 0 0 0 0 0 0 0 0 0 0 0.315218747638 0.549436860881 9 12 8 1 3120 2103 3012 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 0.616385030877 0.405134859424 14 10 2 13 1230 0132 0132 1230 0 0 1 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 0 0 0 0 0 1 -1 0 -1 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.272956185555 0.931956818188 11 6 13 2 1230 1230 1230 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359693511302 0.843928685987 3 12 3 6 0132 0321 3012 3120 0 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 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284851308759 0.788299132170 13 7 3 14 2103 0132 0132 2103 0 0 0 1 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 0 0 0 0 0 0 0 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187460966002 0.697206671668 14 8 12 4 0321 3012 2103 0132 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 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 0.564475739407 0.537877444761 11 6 4 9 2103 2103 0132 0321 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 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 0.776792215139 1.425616039802 7 5 10 8 3012 0132 2103 3012 0 0 0 1 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 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315218747638 0.549436860881 11 7 5 10 0321 3012 0132 2103 0 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 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 0.604101662387 0.876530720978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0110_10'], 'c_1010_13' : negation(d['c_0101_8']), 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_7'], 'c_1010_14' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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'], 'c_0101_14' : negation(d['c_0101_11']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : negation(d['1']), 's_2_7' : d['1'], 's_2_12' : d['1'], 's_2_13' : 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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_14' : d['c_0011_13'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0110_13'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0110_13'], 'c_1100_14' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_11'], 'c_1100_13' : negation(d['c_0110_10']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_6'], 'c_1100_8' : d['c_0110_13'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_10'], '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' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : negation(d['c_0011_3']), '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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' : negation(d['c_0011_13']), 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0011_3'], 'c_0110_14' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_11'], 's_3_12' : d['1'], 's_2_14' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_13']), '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_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0101_8, c_0110_10, c_0110_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 2 Groebner basis: [ t + 643/176*c_0110_13 - 2455/352, c_0011_0 - 1, c_0011_10 + c_0110_13 - 3/2, c_0011_11 - 1/2*c_0110_13 + 1, c_0011_12 + 5/4*c_0110_13 - 1, c_0011_13 - c_0110_13 + 1/2, c_0011_3 - 1, c_0011_6 + 3/2*c_0110_13 - 2, c_0101_1 + 2*c_0110_13 - 3, c_0101_10 - c_0110_13 + 3/2, c_0101_11 + c_0110_13 - 1, c_0101_6 + 5/2*c_0110_13 - 3, c_0101_7 + c_0110_13 - 2, c_0101_8 - 1, c_0110_10 + 1/2*c_0110_13 - 1, c_0110_13^2 - 5/2*c_0110_13 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.670 Total time: 2.879 seconds, Total memory usage: 104.12MB