Magma V2.19-8 Tue Aug 20 2013 23:47:34 on localhost [Seed = 3481904529] Type ? for help. Type -D to quit. Loading file "L11a116__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a116 geometric_solution 11.23977460 oriented_manifold CS_known -0.0000000000000007 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 1 1 1 1 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 1 0 0 0 0 0 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.723642174436 1.188874669050 0 2 6 5 0132 0213 0132 0132 1 1 1 1 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 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 1.027551205463 0.696914795170 5 0 1 7 3201 0132 0213 0132 1 1 1 1 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 1 -1 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 0.261057364976 0.415286274295 6 8 9 0 0132 0132 0132 0132 1 1 1 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 0 -1 1 0 -1 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 0.125524290119 0.732668744689 10 6 0 11 0132 0132 0132 0132 1 1 1 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 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 0.125524290119 0.732668744689 6 7 1 2 2103 2103 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028453387106 0.577991518116 3 4 5 1 0132 0132 2103 0132 1 1 1 1 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 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 0.723642174436 1.188874669050 7 5 2 7 3201 2103 0132 2310 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 0.411239122637 1.652135254216 10 3 11 11 1023 0132 0213 1230 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 0 0 0 0 0 0 0 0 -1 0 1 1 0 -1 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 0.382785735530 1.074143736100 10 10 11 3 3120 1230 0132 0132 1 1 1 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 0 -1 1 -1 1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382785735530 1.074143736100 4 8 9 9 0132 1023 3012 3120 0 1 1 1 0 0 -1 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 -1 0 1 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 0.382785735530 1.074143736100 8 8 4 9 3012 0213 0132 0132 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382785735530 1.074143736100 ==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' : d['c_0011_5'], 'c_1001_10' : d['c_0011_11'], 'c_1001_5' : d['c_0011_7'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : d['c_0011_5'], 'c_1001_6' : d['c_0011_5'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_5'], 'c_1001_3' : d['c_0101_10'], 'c_1001_2' : d['c_1001_1'], 'c_1001_9' : d['c_0101_9'], 'c_1001_8' : d['c_0011_5'], 'c_1010_11' : d['c_0101_9'], 'c_1010_10' : d['c_0011_11'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_10' : negation(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' : negation(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_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_0101_9'], 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : negation(d['c_0011_0']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0011_7'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : negation(d['c_0101_9']), 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_7'], 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : negation(d['c_0101_7']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_0011_5'], 'c_1010_2' : d['c_0011_5'], 'c_1010_1' : d['c_0011_7'], 'c_1010_0' : d['c_1001_1'], 'c_1010_9' : d['c_0101_10'], 'c_1010_8' : d['c_0101_10'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(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' : negation(d['1']), 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : d['c_0011_10'], '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_9'], 'c_0110_10' : d['c_0101_1'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0011_11'], '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_0101_0'], 'c_1100_9' : d['c_1100_0'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0011_0'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_7']), '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_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 1102/675*c_1100_0^3 + 617/150*c_1100_0^2 - 1559/90*c_1100_0 + 5497/1350, c_0011_0 - 1, c_0011_10 - c_1100_0, c_0011_11 - 1, c_0011_5 - 2/9*c_1100_0^3 + 8/9*c_1100_0^2 - 23/9*c_1100_0 + 4/3, c_0011_7 - 1/3*c_1100_0^3 + c_1100_0^2 - 11/3*c_1100_0 + 1, c_0101_0 + 1/9*c_1100_0^3 - 1/9*c_1100_0^2 + 10/9*c_1100_0 - 2/3, c_0101_1 + 2/9*c_1100_0^3 - 8/9*c_1100_0^2 + 23/9*c_1100_0 - 4/3, c_0101_10 - 2/9*c_1100_0^3 + 8/9*c_1100_0^2 - 32/9*c_1100_0 + 4/3, c_0101_7 + 4/9*c_1100_0^3 - 10/9*c_1100_0^2 + 43/9*c_1100_0 - 5/3, c_0101_9 - 1, c_1001_1 - 1/9*c_1100_0^3 + 1/9*c_1100_0^2 - 10/9*c_1100_0 + 2/3, c_1100_0^4 - 3*c_1100_0^3 + 12*c_1100_0^2 - 8*c_1100_0 + 3 ], 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_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 5 Groebner basis: [ t + 2839/431200*c_1100_0^4 + 4909/215600*c_1100_0^3 - 793/30800*c_1100_0^2 - 1021/86240*c_1100_0 + 35907/431200, c_0011_0 - 1, c_0011_10 - c_1100_0, c_0011_11 - 1, c_0011_5 + 3/11*c_1100_0^4 - 4/11*c_1100_0^3 + 2/11*c_1100_0^2 + 8/11*c_1100_0 + 9/11, c_0011_7 - 2/11*c_1100_0^4 - 1/11*c_1100_0^3 + 6/11*c_1100_0^2 - 9/11*c_1100_0 - 6/11, c_0101_0 - 4/11*c_1100_0^4 - 2/11*c_1100_0^3 + 1/11*c_1100_0^2 - 7/11*c_1100_0 - 23/11, c_0101_1 - 3/11*c_1100_0^4 + 4/11*c_1100_0^3 - 2/11*c_1100_0^2 - 8/11*c_1100_0 - 9/11, c_0101_10 + 3/11*c_1100_0^4 - 4/11*c_1100_0^3 + 2/11*c_1100_0^2 - 3/11*c_1100_0 + 9/11, c_0101_7 + 4/11*c_1100_0^4 + 2/11*c_1100_0^3 - 1/11*c_1100_0^2 + 18/11*c_1100_0 + 23/11, c_0101_9 - 1, c_1001_1 + 4/11*c_1100_0^4 + 2/11*c_1100_0^3 - 1/11*c_1100_0^2 + 7/11*c_1100_0 + 23/11, c_1100_0^5 + c_1100_0^4 + 3*c_1100_0^2 + 8*c_1100_0 + 7 ], 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_5, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_7, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 17306551999/8807502844098*c_1100_0^7 + 2538087269/978611427122*c_1100_0^6 + 109209705065/8807502844098*c_1100_0^5 + 20576398947/978611427122*c_1100_0^4 - 296424725339/8807502844098*c_1100_0^3 - 1133345061127/8807502844098*c_1100_0^2 - 581940785599/4403751422049*c_1100_0 - 105511980755/2935834281366, c_0011_0 - 1, c_0011_10 - c_1100_0, c_0011_11 - 1, c_0011_5 + 6100/797739*c_1100_0^7 - 39430/797739*c_1100_0^6 + 145756/797739*c_1100_0^5 - 301384/797739*c_1100_0^4 + 548312/797739*c_1100_0^3 - 1302094/797739*c_1100_0^2 + 1374103/797739*c_1100_0 - 1735526/797739, c_0011_7 - 251/797739*c_1100_0^7 - 46765/797739*c_1100_0^6 + 229924/797739*c_1100_0^5 - 217243/797739*c_1100_0^4 + 462359/797739*c_1100_0^3 - 2084101/797739*c_1100_0^2 + 1333225/797739*c_1100_0 - 1855454/797739, c_0101_0 + 6515/265913*c_1100_0^7 - 22496/265913*c_1100_0^6 + 3971/265913*c_1100_0^5 - 33307/265913*c_1100_0^4 + 190669/265913*c_1100_0^3 - 84218/265913*c_1100_0^2 - 65336/265913*c_1100_0 + 83207/265913, c_0101_1 - 6100/797739*c_1100_0^7 + 39430/797739*c_1100_0^6 - 145756/797739*c_1100_0^5 + 301384/797739*c_1100_0^4 - 548312/797739*c_1100_0^3 + 1302094/797739*c_1100_0^2 - 1374103/797739*c_1100_0 + 1735526/797739, c_0101_10 + 6100/797739*c_1100_0^7 - 39430/797739*c_1100_0^6 + 145756/797739*c_1100_0^5 - 301384/797739*c_1100_0^4 + 548312/797739*c_1100_0^3 - 1302094/797739*c_1100_0^2 + 2171842/797739*c_1100_0 - 1735526/797739, c_0101_7 + 22177/797739*c_1100_0^7 - 79270/797739*c_1100_0^6 + 44986/797739*c_1100_0^5 - 231007/797739*c_1100_0^4 + 618179/797739*c_1100_0^3 - 242719/797739*c_1100_0^2 + 1225486/797739*c_1100_0 + 166177/797739, c_0101_9 + 1, c_1001_1 - 6515/265913*c_1100_0^7 + 22496/265913*c_1100_0^6 - 3971/265913*c_1100_0^5 + 33307/265913*c_1100_0^4 - 190669/265913*c_1100_0^3 + 84218/265913*c_1100_0^2 + 65336/265913*c_1100_0 - 83207/265913, c_1100_0^8 - 5*c_1100_0^7 + 8*c_1100_0^6 - 17*c_1100_0^5 + 45*c_1100_0^4 - 57*c_1100_0^3 + 86*c_1100_0^2 - 45*c_1100_0 + 47 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.070 Total time: 0.280 seconds, Total memory usage: 32.09MB