Magma V2.19-8 Tue Aug 20 2013 23:39:52 on localhost [Seed = 813061254] Type ? for help. Type -D to quit. Loading file "L11n8__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11n8 geometric_solution 9.65949854 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 10 1 2 1 3 0132 0132 1023 0132 1 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 0 0 0 0 0 0 0 0 -1 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 -0.056417888615 1.303235290550 0 3 0 2 0132 1023 1023 1023 1 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 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 -0.056417888615 1.303235290550 4 0 5 1 0132 0132 0132 1023 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.447673900300 0.816672757874 1 4 0 5 1023 0132 0132 0132 1 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 0 0 0 0 0 0 0 1 -1 0 0 0 1 -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 0.447673900300 0.816672757874 2 3 6 7 0132 0132 0132 0132 1 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 0 0 0 0 0 0 0 -1 1 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 0.412438935985 0.537552236428 8 9 3 2 0132 0132 0132 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 -2 3 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412438935985 0.537552236428 8 9 9 4 3120 0321 3201 0132 1 1 1 0 0 0 0 0 -1 0 1 0 0 0 0 0 1 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 3 0 -3 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537349472841 1.089573575135 8 9 4 8 2103 0213 0132 3201 1 1 0 1 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 0 0 0 -2 0 0 2 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537349472841 1.089573575135 5 7 7 6 0132 2310 2103 3120 0 1 1 1 0 1 0 -1 0 0 -1 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 1 0 -1 1 0 2 -3 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537349472841 1.089573575135 6 5 7 6 2310 0132 0213 0321 1 0 1 1 0 0 0 0 -2 0 -1 3 -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 2 3 -3 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.537349472841 1.089573575135 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_0011_7']), 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_2'], 'c_1001_8' : d['c_0011_7'], 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_0_8' : negation(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' : negation(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_0011_7']), 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_0011_5'], 'c_1100_7' : d['c_0011_5'], 'c_1100_6' : d['c_0011_5'], 'c_1100_1' : negation(d['c_1100_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 'c_1010_7' : negation(d['c_0011_7']), 'c_1010_6' : d['c_1001_4'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_4'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0101_4'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0011_6']), 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_3_7' : negation(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' : negation(d['1']), 's_1_3' : negation(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_5']), 'c_0011_8' : negation(d['c_0011_5']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], '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' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_2'], 'c_0101_6' : d['c_0011_6'], 'c_0101_5' : d['c_0101_4'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_7'], 'c_0101_8' : d['c_0101_2'], 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_4'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_0'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : d['c_0101_4'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : d['c_0101_2'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0101_4']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_5, c_0011_6, c_0011_7, c_0101_0, c_0101_2, c_0101_4, c_1001_2, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 124625482/296421775*c_1001_4^7 + 377680916/296421775*c_1001_4^6 + 1349566992/296421775*c_1001_4^5 + 2402826688/296421775*c_1001_4^4 + 3231181964/296421775*c_1001_4^3 + 51042086/4560335*c_1001_4^2 + 2455594307/296421775*c_1001_4 + 701559488/296421775, c_0011_0 - 1, c_0011_5 - 7200/70159*c_1001_4^7 - 7792/70159*c_1001_4^6 - 38152/70159*c_1001_4^5 + 10068/70159*c_1001_4^4 + 56636/70159*c_1001_4^3 + 170046/70159*c_1001_4^2 + 95936/70159*c_1001_4 + 156232/70159, c_0011_6 - 1, c_0011_7 - 1024/4127*c_1001_4^7 - 3456/4127*c_1001_4^6 - 12176/4127*c_1001_4^5 - 23110/4127*c_1001_4^4 - 33692/4127*c_1001_4^3 - 34254/4127*c_1001_4^2 - 30854/4127*c_1001_4 - 11475/4127, c_0101_0 - 13242/70159*c_1001_4^7 - 60168/70159*c_1001_4^6 - 193180/70159*c_1001_4^5 - 435412/70159*c_1001_4^4 - 599064/70159*c_1001_4^3 - 631948/70159*c_1001_4^2 - 509245/70159*c_1001_4 - 235114/70159, c_0101_2 - c_1001_4, c_0101_4 - 41720/70159*c_1001_4^7 - 144932/70159*c_1001_4^6 - 507942/70159*c_1001_4^5 - 984692/70159*c_1001_4^4 - 1375910/70159*c_1001_4^3 - 1393068/70159*c_1001_4^2 - 1054643/70159*c_1001_4 - 351348/70159, c_1001_2 + 41720/70159*c_1001_4^7 + 144932/70159*c_1001_4^6 + 507942/70159*c_1001_4^5 + 984692/70159*c_1001_4^4 + 1375910/70159*c_1001_4^3 + 1393068/70159*c_1001_4^2 + 1054643/70159*c_1001_4 + 351348/70159, c_1001_4^8 + 4*c_1001_4^7 + 14*c_1001_4^6 + 30*c_1001_4^5 + 46*c_1001_4^4 + 52*c_1001_4^3 + 46*c_1001_4^2 + 25*c_1001_4 + 13/2, c_1100_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB