Magma V2.19-8 Wed Aug 21 2013 00:12:36 on localhost [Seed = 1074146374] Type ? for help. Type -D to quit. Loading file "K13n3293__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3293 geometric_solution 11.58054763 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 0 -1 14 0 -13 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.847032383018 0.986197663033 0 5 7 6 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.297367995941 0.469524967540 4 0 8 7 0213 0132 0132 3012 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 -1 1 0 0 0 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028938562123 0.984706614705 9 5 10 0 0132 1230 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 -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 0.847032383018 0.986197663033 2 10 0 11 0213 2031 0132 0132 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 1 -1 0 1 0 0 -1 0 1 0 -1 0 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128509642064 0.864108581092 7 1 3 6 0321 0132 3012 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.983878039743 0.657464080778 9 5 1 11 2103 0321 0132 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222051954949 0.896901420207 5 12 2 1 0321 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.222051954949 0.896901420207 12 9 11 2 2310 2310 0213 0132 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 0 0 0 14 0 0 -14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.192739753988 0.440844053881 3 10 6 8 0132 3120 2103 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028938562123 0.984706614705 4 9 12 3 1302 3120 2103 0132 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 13 0 -13 0 -1 0 0 1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.128509642064 0.864108581092 6 8 4 12 3120 0213 0132 2103 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.745077943107 0.469198162065 10 7 8 11 2103 0132 3201 2103 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 13 0 -14 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 0.894048737318 1.645546209136 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0011_8'], 'c_1001_11' : d['c_0011_10'], 'c_1001_10' : d['c_0011_12'], 'c_1001_12' : negation(d['c_0011_11']), 'c_1001_5' : negation(d['c_0011_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_7' : d['c_1001_7'], 'c_1001_6' : negation(d['c_0011_3']), 'c_1001_1' : negation(d['c_0011_11']), 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0011_3'], 'c_1001_2' : negation(d['c_0101_3']), 'c_1001_9' : negation(d['c_0011_12']), 'c_1001_8' : d['c_0011_10'], 'c_1010_12' : d['c_1001_7'], 'c_1010_11' : negation(d['c_1001_7']), 'c_1010_10' : d['c_0011_3'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_4']), '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_12' : 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' : d['1'], 's_0_1' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0110_12']), 'c_1100_7' : negation(d['c_0101_11']), 'c_1100_6' : negation(d['c_0101_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0110_12']), 'c_1100_3' : negation(d['c_0110_12']), 'c_1100_2' : negation(d['c_1001_7']), 's_0_10' : d['1'], 'c_1100_11' : negation(d['c_0110_12']), 'c_1100_10' : negation(d['c_0110_12']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : negation(d['c_0011_11']), 'c_1010_5' : negation(d['c_0011_11']), 'c_1010_4' : d['c_0011_10'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : negation(d['c_0011_3']), 'c_1010_0' : negation(d['c_0101_3']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0101_3']), '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'], 'c_1100_12' : negation(d['c_0011_8']), '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' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_12']), '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' : d['c_0011_8'], 'c_0110_10' : d['c_0101_3'], 'c_0110_12' : d['c_0110_12'], 'c_0101_12' : negation(d['c_0011_4']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : d['c_0011_11'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0011_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0101_11']), 'c_0110_5' : d['c_0011_12'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_0']), 'c_1100_8' : negation(d['c_1001_7'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_11, c_0101_3, c_0101_5, c_0110_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 2004/725*c_0110_12^3*c_1001_7 - 857/4350*c_0110_12^3 + 209/870*c_0110_12^2*c_1001_7 - 5263/870*c_0110_12^2 + 1897/1740*c_0110_12*c_1001_7 - 1957/870*c_0110_12 - 1009/348*c_1001_7 - 1145/348, c_0011_0 - 1, c_0011_10 - 1/5*c_0110_12^3*c_1001_7 + 2/5*c_0110_12^3 - 9/10*c_0110_12^2*c_1001_7 - 7/10*c_0110_12^2 - 1/2*c_0110_12*c_1001_7 - 1/2*c_0110_12 - 1/2*c_1001_7 + 1/2, c_0011_11 - 1/5*c_0110_12^3*c_1001_7 + 2/5*c_0110_12^3 - 7/10*c_0110_12^2*c_1001_7 - 1/10*c_0110_12^2 - 1/2*c_0110_12*c_1001_7 - 1/2*c_0110_12 - 1/2*c_1001_7 + 1/2, c_0011_12 + 2/5*c_0110_12^3*c_1001_7 + 1/5*c_0110_12^3 - 1/10*c_0110_12^2*c_1001_7 + 7/10*c_0110_12^2 + 1/2*c_0110_12*c_1001_7 + 1/2*c_0110_12 + 3/2*c_1001_7 + 3/2, c_0011_3 - 1/5*c_0110_12^3*c_1001_7 + 2/5*c_0110_12^3 - 7/10*c_0110_12^2*c_1001_7 - 1/10*c_0110_12^2 - 1/2*c_0110_12*c_1001_7 + 1/2*c_0110_12 - 1/2*c_1001_7 + 3/2, c_0011_4 - 2/5*c_0110_12^3*c_1001_7 - 1/5*c_0110_12^3 + 3/10*c_0110_12^2*c_1001_7 - 1/10*c_0110_12^2 - 1/2*c_0110_12*c_1001_7 - 1/2*c_0110_12 - 1/2*c_1001_7 - 1/2, c_0011_8 + 2/5*c_0110_12^3*c_1001_7 + 1/5*c_0110_12^3 - 1/10*c_0110_12^2*c_1001_7 + 7/10*c_0110_12^2 + 1/2*c_0110_12*c_1001_7 + 1/2*c_0110_12 + 3/2*c_1001_7 + 1/2, c_0101_0 - 3/5*c_0110_12^2*c_1001_7 + 1/5*c_0110_12^2 - c_0110_12, c_0101_11 - 1/5*c_0110_12^3*c_1001_7 + 2/5*c_0110_12^3 - 7/10*c_0110_12^2*c_1001_7 - 1/10*c_0110_12^2 - 1/2*c_0110_12*c_1001_7 + 1/2*c_0110_12 + 1/2*c_1001_7 + 3/2, c_0101_3 - 1/5*c_0110_12^3*c_1001_7 + 2/5*c_0110_12^3 - 7/10*c_0110_12^2*c_1001_7 - 1/10*c_0110_12^2 - 1/2*c_0110_12*c_1001_7 + 1/2*c_0110_12 - 1/2*c_1001_7 + 1/2, c_0101_5 + 3/5*c_0110_12^3*c_1001_7 - 1/5*c_0110_12^3 + c_0110_12^2 + c_0110_12 + c_1001_7, c_0110_12^4 - 2*c_0110_12^3*c_1001_7 + c_0110_12^3 - 5/2*c_0110_12^2*c_1001_7 - 3/2*c_0110_12*c_1001_7 + 2*c_0110_12 - 3/2*c_1001_7 + 2, c_1001_7^2 + 1 ], Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_3, c_0011_4, c_0011_8, c_0101_0, c_0101_11, c_0101_3, c_0101_5, c_0110_12, c_1001_7 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 65581/1448*c_1001_7^10 - 71463/724*c_1001_7^9 + 189979/724*c_1001_7^8 - 899251/1448*c_1001_7^7 + 202251/362*c_1001_7^6 + 128705/724*c_1001_7^5 - 260163/1448*c_1001_7^4 - 29858/181*c_1001_7^3 - 18615/362*c_1001_7^2 + 250291/1448*c_1001_7 - 77161/1448, c_0011_0 - 1, c_0011_10 - 274/181*c_1001_7^10 - 1206/181*c_1001_7^9 - 141/181*c_1001_7^8 - 1390/181*c_1001_7^7 - 3451/181*c_1001_7^6 + 4201/181*c_1001_7^5 + 3065/181*c_1001_7^4 - 467/181*c_1001_7^3 - 2020/181*c_1001_7^2 - 1026/181*c_1001_7 + 714/181, c_0011_11 - 339/181*c_1001_7^10 - 887/181*c_1001_7^9 + 1442/181*c_1001_7^8 - 4407/181*c_1001_7^7 + 2753/181*c_1001_7^6 + 1026/181*c_1001_7^5 - 324/181*c_1001_7^4 - 301/181*c_1001_7^3 - 602/181*c_1001_7^2 + 896/181*c_1001_7 - 451/181, c_0011_12 + 995/181*c_1001_7^10 + 3415/181*c_1001_7^9 - 2345/181*c_1001_7^8 + 8410/181*c_1001_7^7 + 2061/181*c_1001_7^6 - 11323/181*c_1001_7^5 - 4455/181*c_1001_7^4 + 3780/181*c_1001_7^3 + 5569/181*c_1001_7^2 + 12/181*c_1001_7 - 1450/181, c_0011_3 - 1, c_0011_4 - 274/181*c_1001_7^10 - 1206/181*c_1001_7^9 - 141/181*c_1001_7^8 - 1390/181*c_1001_7^7 - 3451/181*c_1001_7^6 + 4201/181*c_1001_7^5 + 3065/181*c_1001_7^4 - 467/181*c_1001_7^3 - 2020/181*c_1001_7^2 - 1026/181*c_1001_7 + 714/181, c_0011_8 - c_1001_7, c_0101_0 - 720/181*c_1001_7^10 - 2885/181*c_1001_7^9 + 660/181*c_1001_7^8 - 3930/181*c_1001_7^7 - 6171/181*c_1001_7^6 + 11487/181*c_1001_7^5 + 7042/181*c_1001_7^4 - 3452/181*c_1001_7^3 - 6180/181*c_1001_7^2 - 1363/181*c_1001_7 + 2369/181, c_0101_11 - 995/181*c_1001_7^10 - 3415/181*c_1001_7^9 + 2345/181*c_1001_7^8 - 8410/181*c_1001_7^7 - 2061/181*c_1001_7^6 + 11323/181*c_1001_7^5 + 4455/181*c_1001_7^4 - 3780/181*c_1001_7^3 - 5569/181*c_1001_7^2 - 12/181*c_1001_7 + 1450/181, c_0101_3 + 455/181*c_1001_7^10 + 1930/181*c_1001_7^9 - 40/181*c_1001_7^8 + 2295/181*c_1001_7^7 + 4899/181*c_1001_7^6 - 6916/181*c_1001_7^5 - 5418/181*c_1001_7^4 + 1915/181*c_1001_7^3 + 4011/181*c_1001_7^2 + 1207/181*c_1001_7 - 1438/181, c_0101_5 + 720/181*c_1001_7^10 + 2885/181*c_1001_7^9 - 660/181*c_1001_7^8 + 3930/181*c_1001_7^7 + 6171/181*c_1001_7^6 - 11487/181*c_1001_7^5 - 7042/181*c_1001_7^4 + 3452/181*c_1001_7^3 + 6180/181*c_1001_7^2 + 1363/181*c_1001_7 - 2369/181, c_0110_12 - 370/181*c_1001_7^10 - 2194/181*c_1001_7^9 - 1682/181*c_1001_7^8 + 801/181*c_1001_7^7 - 11007/181*c_1001_7^6 + 9244/181*c_1001_7^5 + 9265/181*c_1001_7^4 - 1784/181*c_1001_7^3 - 5378/181*c_1001_7^2 - 3066/181*c_1001_7 + 2502/181, c_1001_7^11 + 3*c_1001_7^10 - 4*c_1001_7^9 + 9*c_1001_7^8 - c_1001_7^7 - 14*c_1001_7^6 + c_1001_7^5 + 7*c_1001_7^4 + 4*c_1001_7^3 - 3*c_1001_7^2 - 2*c_1001_7 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 4.030 Total time: 4.230 seconds, Total memory usage: 64.12MB