Magma V2.19-8 Tue Aug 20 2013 23:41:12 on localhost [Seed = 762005924] Type ? for help. Type -D to quit. Loading file "L12n1011__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n1011 geometric_solution 9.74968543 oriented_manifold CS_known -0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 11 1 2 3 1 0132 0132 0132 2031 0 0 1 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 -1 0 1 4 0 -3 -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 0.772448957220 0.695268668491 0 0 4 4 0132 1302 3012 0132 0 0 0 1 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 1 -1 0 -4 0 0 4 0 -1 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284819753873 0.643722038599 5 0 7 6 0132 0132 0132 0132 0 1 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 1 -1 0 0 0 0 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.165716376644 0.794633933774 8 9 5 0 0132 0132 0321 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 0 0 0 0 0 -3 3 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.773307043584 0.527400923813 8 1 1 7 2103 1230 0132 3012 0 0 1 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 -4 4 1 -1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.772448957220 0.695268668491 2 7 3 9 0132 3120 0321 3120 0 1 1 0 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 -1 0 0 1 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.516198769034 1.797124929743 10 10 2 8 0132 2310 0132 1023 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 1 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 0.334185033502 0.806745875989 8 5 4 2 1023 3120 1230 0132 0 1 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 3 -4 1 0 0 0 0 -2 0 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.342513862774 0.708002090179 3 7 4 6 0132 1023 2103 1023 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 -1 1 0 0 0 0 -1 2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.347972322480 1.424300226542 5 3 10 10 3120 0132 2310 0132 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 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 0.896134533744 1.473044806592 6 9 9 6 0132 3201 0132 3201 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 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 -0.368820123724 0.726737872832 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_10' : negation(d['c_0101_9']), 'c_1001_5' : negation(d['c_1001_4']), 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_4'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0011_4']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_9']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_4'], 'c_1010_10' : negation(d['c_1001_0']), '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' : 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_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' : d['c_0011_10'], 'c_0011_10' : d['c_0011_10'], 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_1001_4']), 'c_1100_7' : d['c_0110_4'], 'c_1100_6' : d['c_0110_4'], 'c_1100_1' : negation(d['c_1001_4']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : d['c_0110_4'], 'c_1100_10' : d['c_0011_10'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0101_3'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0011_4']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0101_9']), 'c_1010_8' : d['c_0101_10'], 'c_1100_8' : negation(d['c_0110_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'], '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_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_10']), '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' : negation(d['c_0101_3']), 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : negation(d['c_0101_3']), 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : negation(d['c_0011_4']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : negation(d['c_0011_4']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_3']), 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0101_10'], 'c_0110_6' : d['c_0101_10']})} 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_0101_0, c_0101_10, c_0101_3, c_0101_9, c_0110_4, c_1001_0, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 202045/123*c_1001_4^7 + 245774/41*c_1001_4^6 - 1324442/123*c_1001_4^5 + 489691/41*c_1001_4^4 - 355723/41*c_1001_4^3 + 1006783/246*c_1001_4^2 - 94711/82*c_1001_4 + 17282/123, c_0011_0 - 1, c_0011_10 + 6052*c_1001_4^7 - 21880*c_1001_4^6 + 39120*c_1001_4^5 - 43410*c_1001_4^4 + 31640*c_1001_4^3 - 15012*c_1001_4^2 + 4286*c_1001_4 - 533, c_0011_3 + 1258*c_1001_4^7 - 4618*c_1001_4^6 + 8280*c_1001_4^5 - 9194*c_1001_4^4 + 6686*c_1001_4^3 - 3157*c_1001_4^2 + 896*c_1001_4 - 110, c_0011_4 - 34*c_1001_4^7 + 100*c_1001_4^6 - 160*c_1001_4^5 + 156*c_1001_4^4 - 102*c_1001_4^3 + 41*c_1001_4^2 - 11*c_1001_4 + 1, c_0101_0 - 1, c_0101_10 - 3706*c_1001_4^7 + 13382*c_1001_4^6 - 23822*c_1001_4^5 + 26324*c_1001_4^4 - 19084*c_1001_4^3 + 9003*c_1001_4^2 - 2552*c_1001_4 + 314, c_0101_3 - 4488*c_1001_4^7 + 16124*c_1001_4^6 - 28734*c_1001_4^5 + 31792*c_1001_4^4 - 23104*c_1001_4^3 + 10928*c_1001_4^2 - 3106*c_1001_4 + 384, c_0101_9 + 5304*c_1001_4^7 - 18966*c_1001_4^6 + 33670*c_1001_4^5 - 37118*c_1001_4^4 + 26886*c_1001_4^3 - 12682*c_1001_4^2 + 3599*c_1001_4 - 445, c_0110_4 + 1, c_1001_0 + 34*c_1001_4^7 - 134*c_1001_4^6 + 260*c_1001_4^5 - 316*c_1001_4^4 + 258*c_1001_4^3 - 143*c_1001_4^2 + 51*c_1001_4 - 9, c_1001_4^8 - 67/17*c_1001_4^7 + 130/17*c_1001_4^6 - 158/17*c_1001_4^5 + 129/17*c_1001_4^4 - 143/34*c_1001_4^3 + 26/17*c_1001_4^2 - 11/34*c_1001_4 + 1/34 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.230 seconds, Total memory usage: 32.09MB