Magma V2.19-8 Tue Aug 20 2013 23:55:08 on localhost [Seed = 3667702411] Type ? for help. Type -D to quit. Loading file "L13n9733__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9733 geometric_solution 11.32544920 oriented_manifold CS_known -0.0000000000000002 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 3 0132 0132 0132 2310 0 2 2 0 0 -1 0 1 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 1 0 -1 -1 0 1 0 2 -1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.036703376348 1.464228649844 0 4 6 5 0132 0132 0132 0132 0 2 0 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 0 0 0 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 0.260313876274 1.121777597048 7 0 5 4 0132 0132 3201 0213 0 2 0 2 0 1 -1 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 -1 0 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 0.278278390591 0.658402248985 0 8 8 0 3201 0132 3201 0132 0 2 0 2 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 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.017108637237 0.682524587506 7 1 9 2 1023 0132 0132 0213 0 0 2 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 -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 0.666717357377 0.764555703796 2 10 1 8 2310 0132 0132 0213 0 2 2 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 0.803706811705 0.845891522318 7 10 8 1 3120 2031 3120 0132 0 2 2 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 1 1 0 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.455351824958 1.288628925128 2 4 10 6 0132 1023 0321 3120 0 2 2 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 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 0.202924616806 0.792048843804 3 3 6 5 2310 0132 3120 0213 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.036703376348 1.464228649844 11 11 11 4 0132 1302 3012 0132 0 0 0 1 0 0 0 0 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 0 1 0 -1 -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 0.682643448350 0.523145546839 6 5 7 11 1302 0132 0321 1302 0 0 0 2 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 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.479114067875 1.099095321856 9 9 10 9 0132 1230 2031 2031 0 0 1 0 0 -1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847648413042 1.397303727504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0110_10']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0101_11'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0110_10'], 'c_1001_3' : negation(d['c_0101_8']), 'c_1001_2' : negation(d['c_0101_0']), 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0110_10'], 'c_1010_11' : negation(d['c_0011_11']), 'c_1010_10' : d['c_1001_4'], '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' : negation(d['c_0011_6']), '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' : negation(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' : negation(d['1']), 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : negation(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_0110_10'], 'c_1100_8' : negation(d['c_0101_6']), 'c_1100_5' : negation(d['c_0101_8']), 'c_1100_4' : d['c_0110_10'], 'c_1100_7' : negation(d['c_0101_6']), 'c_1100_6' : negation(d['c_0101_8']), 'c_1100_1' : negation(d['c_0101_8']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_10'], 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_4']), 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0110_10'], 'c_1010_2' : d['c_0110_10'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0101_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0101_8']), 's_3_1' : negation(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' : negation(d['1']), 's_3_6' : negation(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' : negation(d['c_0011_11']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], '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_11' : negation(d['c_0011_11']), 'c_0110_10' : d['c_0110_10'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : negation(d['c_0011_11']), 'c_0101_8' : d['c_0101_8'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_6'], 'c_0110_5' : negation(d['c_0101_1']), 'c_0110_4' : negation(d['c_0011_6']), 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_6, c_0101_0, c_0101_1, c_0101_11, c_0101_6, c_0101_8, c_0110_10, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 342822994126609/2331850102400*c_1001_4^6 - 208244509333719/1165925051200*c_1001_4^5 + 8958150356375823/1165925051200*c_1001_4^4 + 7952761978042307/166560721600*c_1001_4^3 + 23149746236336919/291481262800*c_1001_4^2 + 1689201661861061/41640180400*c_1001_4 + 11173458306069823/291481262800, c_0011_0 - 1, c_0011_10 - 19/109850*c_1001_4^6 - 21/54925*c_1001_4^5 - 11/109850*c_1001_4^4 - 6434/54925*c_1001_4^3 + 10684/54925*c_1001_4^2 + 43697/54925*c_1001_4 - 10847/54925, c_0011_11 + 1, c_0011_3 - 206/54925*c_1001_4^6 + 1159/109850*c_1001_4^5 - 11614/54925*c_1001_4^4 - 95989/109850*c_1001_4^3 - 28668/54925*c_1001_4^2 + 36406/54925*c_1001_4 + 19044/54925, c_0011_6 - 229/219700*c_1001_4^6 + 1153/219700*c_1001_4^5 - 7413/109850*c_1001_4^4 - 5572/54925*c_1001_4^3 + 11222/54925*c_1001_4^2 + 30726/54925*c_1001_4 + 52274/54925, c_0101_0 - 307/109850*c_1001_4^6 + 37/54925*c_1001_4^5 - 14683/109850*c_1001_4^4 - 117929/109850*c_1001_4^3 - 203971/109850*c_1001_4^2 - 909/54925*c_1001_4 - 14441/54925, c_0101_1 - 1, c_0101_11 - 347/219700*c_1001_4^6 + 27/109850*c_1001_4^5 - 16793/219700*c_1001_4^4 - 67267/109850*c_1001_4^3 - 56454/54925*c_1001_4^2 - 74357/54925*c_1001_4 + 2307/54925, c_0101_6 - 1, c_0101_8 - 307/109850*c_1001_4^6 + 37/54925*c_1001_4^5 - 14683/109850*c_1001_4^4 - 117929/109850*c_1001_4^3 - 203971/109850*c_1001_4^2 - 909/54925*c_1001_4 - 14441/54925, c_0110_10 + 347/219700*c_1001_4^6 - 27/109850*c_1001_4^5 + 16793/219700*c_1001_4^4 + 67267/109850*c_1001_4^3 + 56454/54925*c_1001_4^2 + 19432/54925*c_1001_4 - 2307/54925, c_1001_4^7 - c_1001_4^6 + 52*c_1001_4^5 + 336*c_1001_4^4 + 610*c_1001_4^3 + 392*c_1001_4^2 + 320*c_1001_4 + 56 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB