Magma V2.19-8 Tue Aug 20 2013 17:56:51 on localhost [Seed = 425241860] Type ? for help. Type -D to quit. Loading file "10_76__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 10_76 geometric_solution 11.51286041 oriented_manifold CS_known 0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 2031 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 1 -1 0 9 0 0 -9 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650105641537 1.199158305104 0 0 5 4 0132 1302 0132 0132 0 0 0 0 0 -1 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 0 0 0 0 9 0 -9 -9 0 0 9 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650596927216 0.644494632546 6 0 6 3 0132 0132 3012 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 -1 0 0 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 0.741337596113 0.907475632933 7 2 5 0 0132 1302 3012 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 -1 0 1 -8 0 8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.246851860253 0.423694327363 7 8 1 9 2103 0132 0132 0132 0 0 0 0 0 0 -1 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 9 -9 8 0 -9 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 0.169508015220 0.710445293454 7 3 8 1 3120 1230 0132 0132 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 -8 8 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 0.192608090313 0.883489936342 2 2 7 10 0132 1230 3012 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 1 0 0 -1 -1 0 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290495393542 1.019156580766 3 6 4 5 0132 1230 2103 3120 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 8 0 -8 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 0.840522084129 1.020977680473 10 4 9 5 3201 0132 0132 0132 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 8 -8 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 0.084441146962 1.557873525343 11 11 4 8 0132 0213 0132 0132 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 -1 9 -8 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 0.290495393542 1.019156580766 11 11 6 8 1230 2310 0132 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.290495393542 1.019156580766 9 10 9 10 0132 3012 0213 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 1 -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 0.741337596113 0.907475632933 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0011_10']), 'c_1001_10' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : d['c_0011_4'], 'c_1001_6' : d['c_0011_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : d['c_0011_3'], 'c_1001_3' : negation(d['c_0011_5']), 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_0011_10']), 'c_1001_8' : negation(d['c_0011_10']), 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : negation(d['1']), 's_0_7' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_1100_5' : d['c_1100_1'], 'c_1100_4' : d['c_1100_1'], 'c_1100_7' : negation(d['c_0101_5']), 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_1'], 'c_1100_11' : negation(d['c_0011_10']), 'c_1100_10' : negation(d['c_0011_4']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_5']), 'c_1010_6' : d['c_0101_10'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0011_10']), 'c_1010_3' : d['c_0011_3'], 'c_1010_2' : d['c_0011_3'], 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : d['c_1001_4'], 'c_1100_8' : d['c_1100_1'], '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' : negation(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_4']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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_0101_5'], 'c_0110_10' : d['c_0011_11'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_0'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_5'], 'c_0101_8' : negation(d['c_0011_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_11']), 'c_0110_8' : d['c_0101_5'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_5'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0101_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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 8269/320*c_1100_1^10 + 3321/160*c_1100_1^9 - 711/8*c_1100_1^8 + 3709/64*c_1100_1^7 + 11743/64*c_1100_1^6 - 16153/64*c_1100_1^5 - 4319/80*c_1100_1^4 + 103129/320*c_1100_1^3 - 48233/320*c_1100_1^2 - 6897/64*c_1100_1 + 23751/160, c_0011_0 - 1, c_0011_10 - 1, c_0011_11 - 1/2*c_1100_1^10 - c_1100_1^9 + c_1100_1^8 + 1/2*c_1100_1^7 - 7/2*c_1100_1^6 + 3/2*c_1100_1^5 + 3*c_1100_1^4 - 7/2*c_1100_1^3 + 1/2*c_1100_1^2 + 3/2*c_1100_1 - 2, c_0011_3 + 1/2*c_1100_1^10 + c_1100_1^9 - c_1100_1^8 - 1/2*c_1100_1^7 + 7/2*c_1100_1^6 - 3/2*c_1100_1^5 - 3*c_1100_1^4 + 7/2*c_1100_1^3 - 1/2*c_1100_1^2 - 3/2*c_1100_1 + 2, c_0011_4 + c_1100_1^10 + c_1100_1^9 - 4*c_1100_1^8 + c_1100_1^7 + 9*c_1100_1^6 - 9*c_1100_1^5 - 6*c_1100_1^4 + 13*c_1100_1^3 - 3*c_1100_1^2 - 6*c_1100_1 + 4, c_0011_5 + 1/2*c_1100_1^10 - 2*c_1100_1^8 + 3/2*c_1100_1^7 + 5/2*c_1100_1^6 - 9/2*c_1100_1^5 + 7/2*c_1100_1^3 - 3/2*c_1100_1^2 - 1/2*c_1100_1, c_0101_0 - 1/2*c_1100_1^10 + 2*c_1100_1^8 - 5/2*c_1100_1^7 - 5/2*c_1100_1^6 + 15/2*c_1100_1^5 - 2*c_1100_1^4 - 11/2*c_1100_1^3 + 11/2*c_1100_1^2 + 1/2*c_1100_1 - 2, c_0101_1 - 1/2*c_1100_1^10 + 2*c_1100_1^8 - 5/2*c_1100_1^7 - 5/2*c_1100_1^6 + 13/2*c_1100_1^5 - 3*c_1100_1^4 - 9/2*c_1100_1^3 + 9/2*c_1100_1^2 - 1/2*c_1100_1 - 1, c_0101_10 + c_1100_1, c_0101_5 - 1/2*c_1100_1^10 + 2*c_1100_1^8 - 3/2*c_1100_1^7 - 5/2*c_1100_1^6 + 9/2*c_1100_1^5 - 7/2*c_1100_1^3 + 3/2*c_1100_1^2 + 1/2*c_1100_1, c_1001_4 + c_1100_1^3 - c_1100_1 + 1, c_1100_1^11 - 4*c_1100_1^9 + 5*c_1100_1^8 + 5*c_1100_1^7 - 15*c_1100_1^6 + 6*c_1100_1^5 + 13*c_1100_1^4 - 15*c_1100_1^3 + c_1100_1^2 + 8*c_1100_1 - 4 ], 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_4, c_0011_5, c_0101_0, c_0101_1, c_0101_10, c_0101_5, c_1001_4, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t + 76861631417/68983*c_1100_1^17 + 43015068502/7373*c_1100_1^16 + 51823968082712/5035759*c_1100_1^15 + 45901587118990/5035759*c_1100_1^14 + 78168626132443/5035759*c_1100_1^13 + 130674461986535/5035759*c_1100_1^12 + 70129988343319/5035759*c_1100_1^11 + 44612899070261/5035759*c_1100_1^10 + 105918876925431/5035759*c_1100_1^9 + 8175994001208/5035759*c_1100_1^8 - 48567685232141/5035759*c_1100_1^7 + 50252497079718/5035759*c_1100_1^6 - 21800157339126/5035759*c_1100_1^5 - 61256305048644/5035759*c_1100_1^4 + 47256547121158/5035759*c_1100_1^3 - 5674846018095/5035759*c_1100_1^2 - 18172625878101/5035759*c_1100_1 + 23763705769991/5035759, c_0011_0 - 1, c_0011_10 - 218/683*c_1100_1^17 - c_1100_1^16 - 378/683*c_1100_1^15 - 784/683*c_1100_1^14 - 3477/683*c_1100_1^13 - 2001/683*c_1100_1^12 + 283/683*c_1100_1^11 - 4554/683*c_1100_1^10 - 2109/683*c_1100_1^9 + 3686/683*c_1100_1^8 - 2125/683*c_1100_1^7 - 652/683*c_1100_1^6 + 5251/683*c_1100_1^5 - 2219/683*c_1100_1^4 - 865/683*c_1100_1^3 + 2930/683*c_1100_1^2 - 2385/683*c_1100_1 + 590/683, c_0011_11 - 356/683*c_1100_1^17 - 2*c_1100_1^16 - 1482/683*c_1100_1^15 - 1556/683*c_1100_1^14 - 4688/683*c_1100_1^13 - 4170/683*c_1100_1^12 - 766/683*c_1100_1^11 - 4780/683*c_1100_1^10 - 2642/683*c_1100_1^9 + 4033/683*c_1100_1^8 - 1935/683*c_1100_1^7 - 388/683*c_1100_1^6 + 6125/683*c_1100_1^5 - 2477/683*c_1100_1^4 - 1093/683*c_1100_1^3 + 3118/683*c_1100_1^2 - 2911/683*c_1100_1 + 481/683, c_0011_3 + 436/683*c_1100_1^17 + 4*c_1100_1^16 + 6220/683*c_1100_1^15 + 7032/683*c_1100_1^14 + 8320/683*c_1100_1^13 + 13564/683*c_1100_1^12 + 11728/683*c_1100_1^11 + 5693/683*c_1100_1^10 + 7633/683*c_1100_1^9 + 3556/683*c_1100_1^8 - 4629/683*c_1100_1^7 - 62/683*c_1100_1^6 + 426/683*c_1100_1^5 - 4441/683*c_1100_1^4 + 1047/683*c_1100_1^3 + 970/683*c_1100_1^2 - 694/683*c_1100_1 + 869/683, c_0011_4 - 28/683*c_1100_1^17 - 224/683*c_1100_1^15 - 1780/683*c_1100_1^14 - 2364/683*c_1100_1^13 - 351/683*c_1100_1^12 - 2539/683*c_1100_1^11 - 4520/683*c_1100_1^10 + 951/683*c_1100_1^9 + 110/683*c_1100_1^8 - 3030/683*c_1100_1^7 + 3231/683*c_1100_1^6 + 1771/683*c_1100_1^5 - 3794/683*c_1100_1^4 + 2270/683*c_1100_1^3 + 345/683*c_1100_1^2 - 2324/683*c_1100_1 + 552/683, c_0011_5 + 116/683*c_1100_1^17 - 1804/683*c_1100_1^15 - 3944/683*c_1100_1^14 - 3476/683*c_1100_1^13 - 4888/683*c_1100_1^12 - 8215/683*c_1100_1^11 - 5472/683*c_1100_1^10 - 2769/683*c_1100_1^9 - 4261/683*c_1100_1^8 - 229/683*c_1100_1^7 + 3104/683*c_1100_1^6 - 507/683*c_1100_1^5 + 692/683*c_1100_1^4 + 1231/683*c_1100_1^3 - 356/683*c_1100_1^2 - 617/683*c_1100_1 - 433/683, c_0101_0 + 544/683*c_1100_1^17 + 4*c_1100_1^16 + 4352/683*c_1100_1^15 + 2677/683*c_1100_1^14 + 4071/683*c_1100_1^13 + 6917/683*c_1100_1^12 - 42/683*c_1100_1^11 - 3217/683*c_1100_1^10 + 1428/683*c_1100_1^9 - 5357/683*c_1100_1^8 - 7480/683*c_1100_1^7 + 1721/683*c_1100_1^6 - 2307/683*c_1100_1^5 - 3467/683*c_1100_1^4 + 3512/683*c_1100_1^3 - 751/683*c_1100_1^2 - 609/683*c_1100_1 + 301/683, c_0101_1 - 4/683*c_1100_1^17 - 32/683*c_1100_1^15 + 136/683*c_1100_1^14 + 1321/683*c_1100_1^13 + 2194/683*c_1100_1^12 + 1296/683*c_1100_1^11 + 2379/683*c_1100_1^10 + 3746/683*c_1100_1^9 + 1089/683*c_1100_1^8 + 738/683*c_1100_1^7 + 1730/683*c_1100_1^6 - 1113/683*c_1100_1^5 - 542/683*c_1100_1^4 + 1300/683*c_1100_1^3 - 1024/683*c_1100_1^2 + 351/683*c_1100_1 + 274/683, c_0101_10 + c_1100_1, c_0101_5 + 632/683*c_1100_1^17 + 4*c_1100_1^16 + 3690/683*c_1100_1^15 + 3100/683*c_1100_1^14 + 7110/683*c_1100_1^13 + 8508/683*c_1100_1^12 + 2181/683*c_1100_1^11 + 3866/683*c_1100_1^10 + 4391/683*c_1100_1^9 - 4727/683*c_1100_1^8 - 1860/683*c_1100_1^7 + 1226/683*c_1100_1^6 - 5824/683*c_1100_1^5 + 261/683*c_1100_1^4 + 2232/683*c_1100_1^3 - 2128/683*c_1100_1^2 + 1914/683*c_1100_1 - 263/683, c_1001_4 + 536/683*c_1100_1^17 + 4*c_1100_1^16 + 4971/683*c_1100_1^15 + 4998/683*c_1100_1^14 + 6713/683*c_1100_1^13 + 8573/683*c_1100_1^12 + 4599/683*c_1100_1^11 + 2224/683*c_1100_1^10 + 1407/683*c_1100_1^9 - 3862/683*c_1100_1^8 - 3955/683*c_1100_1^7 - 966/683*c_1100_1^6 - 3167/683*c_1100_1^5 - 453/683*c_1100_1^4 + 1331/683*c_1100_1^3 - 750/683*c_1100_1^2 + 1459/683*c_1100_1 - 517/683, c_1100_1^18 + 5*c_1100_1^17 + 8*c_1100_1^16 + 6*c_1100_1^15 + 12*c_1100_1^14 + 20*c_1100_1^13 + 7*c_1100_1^12 + 5*c_1100_1^11 + 17*c_1100_1^10 - 3*c_1100_1^9 - 9*c_1100_1^8 + 11*c_1100_1^7 - 6*c_1100_1^6 - 10*c_1100_1^5 + 11*c_1100_1^4 - 3*c_1100_1^3 - 3*c_1100_1^2 + 5*c_1100_1 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.240 Total time: 0.450 seconds, Total memory usage: 32.09MB