Magma V2.19-8 Tue Aug 20 2013 16:17:07 on localhost [Seed = 559988210] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1362 geometric_solution 5.22597071 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.609025473187 0.098296811550 2 0 2 0 0132 2310 1023 0132 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 1 -1 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 0.790694400311 0.159988664095 1 3 1 4 0132 0132 1023 0132 0 0 0 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 -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 0.769546989222 0.614396429340 5 2 4 6 0132 0132 2310 0132 0 0 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 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 0.143803578871 1.611982917231 6 3 2 5 1023 3201 0132 3201 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 1 0 -1 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 0.143803578871 1.611982917231 3 4 5 5 0132 2310 2031 1302 0 0 0 0 0 0 0 0 -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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.154384581346 0.968486148043 6 4 3 6 3201 1023 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 -1 0 1 -1 0 1 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 -0.054904289147 0.615456005222 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : d['1'], 's_2_0' : 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_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_0_6' : 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' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_4'], 'c_1100_5' : d['c_0101_5'], 'c_1100_4' : d['c_0011_1'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_1']), 'c_1100_0' : negation(d['c_0011_1']), 'c_1100_3' : d['c_0011_4'], 'c_1100_2' : d['c_0011_1'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_1']), 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_1'], 'c_0011_2' : negation(d['c_0011_1']), 'c_1001_5' : negation(d['c_0101_3']), 'c_1001_4' : negation(d['c_0101_3']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : negation(d['c_0101_3']), 'c_1001_2' : d['c_0101_1'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_1'], 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : negation(d['c_0101_5']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : negation(d['c_0101_5']), 'c_1010_4' : d['c_0101_3'], 'c_1010_3' : d['c_0101_1'], 'c_1010_2' : negation(d['c_0101_3']), 'c_1010_1' : negation(d['c_0011_0']), 'c_1010_0' : negation(d['c_0101_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 394569105527/75030252104*c_0101_5^10 - 2436716625125/75030252104*c_0101_5^9 - 976243536226/9378781513*c_0101_5^8 - 14286237400237/75030252104*c_0101_5^7 - 28576526096469/75030252104*c_0101_5^6 + 1865295531103/75030252104*c_0101_5^5 - 33585710310415/75030252104*c_0101_5^4 + 15173026082643/75030252104*c_0101_5^3 - 9115598797633/75030252104*c_0101_5^2 + 11374340239229/75030252104*c_0101_5 - 738435773419/75030252104, c_0011_0 - 1, c_0011_1 + 1746845343/9378781513*c_0101_5^10 - 10427107861/9378781513*c_0101_5^9 - 36724173601/9378781513*c_0101_5^8 - 70936141187/9378781513*c_0101_5^7 - 141138846943/9378781513*c_0101_5^6 - 18187195147/9378781513*c_0101_5^5 - 143723827930/9378781513*c_0101_5^4 + 53252231126/9378781513*c_0101_5^3 - 11521381512/9378781513*c_0101_5^2 + 50752467909/9378781513*c_0101_5 + 18518701889/9378781513, c_0011_4 - 25551047/18757563026*c_0101_5^10 + 657018557/18757563026*c_0101_5^9 - 1259350648/9378781513*c_0101_5^8 - 9742764681/18757563026*c_0101_5^7 - 14968863033/18757563026*c_0101_5^6 - 28423473349/18757563026*c_0101_5^5 + 18590336807/18757563026*c_0101_5^4 - 15494277351/18757563026*c_0101_5^3 + 7114905363/18757563026*c_0101_5^2 + 6130391467/18757563026*c_0101_5 - 10164053005/18757563026, c_0101_0 + 1329116597/18757563026*c_0101_5^10 - 7753515991/18757563026*c_0101_5^9 - 14369223471/9378781513*c_0101_5^8 - 59445435875/18757563026*c_0101_5^7 - 120647211301/18757563026*c_0101_5^6 - 37586766311/18757563026*c_0101_5^5 - 131853854465/18757563026*c_0101_5^4 + 24529671993/18757563026*c_0101_5^3 - 18233894201/18757563026*c_0101_5^2 + 35747256773/18757563026*c_0101_5 + 31761838017/18757563026, c_0101_1 - 2532116835/9378781513*c_0101_5^10 + 15113185766/9378781513*c_0101_5^9 + 53871893490/9378781513*c_0101_5^8 + 99043028079/9378781513*c_0101_5^7 + 191076715654/9378781513*c_0101_5^6 + 4788875098/9378781513*c_0101_5^5 + 171839902005/9378781513*c_0101_5^4 - 58220039079/9378781513*c_0101_5^3 - 2402352855/9378781513*c_0101_5^2 - 65625164322/9378781513*c_0101_5 - 18670482358/9378781513, c_0101_3 - 25551047/18757563026*c_0101_5^10 + 657018557/18757563026*c_0101_5^9 - 1259350648/9378781513*c_0101_5^8 - 9742764681/18757563026*c_0101_5^7 - 14968863033/18757563026*c_0101_5^6 - 28423473349/18757563026*c_0101_5^5 + 18590336807/18757563026*c_0101_5^4 - 15494277351/18757563026*c_0101_5^3 + 7114905363/18757563026*c_0101_5^2 + 6130391467/18757563026*c_0101_5 + 8593510021/18757563026, c_0101_5^11 - 6*c_0101_5^10 - 21*c_0101_5^9 - 39*c_0101_5^8 - 76*c_0101_5^7 - 2*c_0101_5^6 - 72*c_0101_5^5 + 30*c_0101_5^4 - 2*c_0101_5^3 + 28*c_0101_5^2 + 8*c_0101_5 - 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0011_4, c_0101_0, c_0101_1, c_0101_3, c_0101_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 394569105527/75030252104*c_0101_5^10 + 2436716625125/75030252104*c_0101_5^9 + 976243536226/9378781513*c_0101_5^8 + 14286237400237/75030252104*c_0101_5^7 + 28576526096469/75030252104*c_0101_5^6 - 1865295531103/75030252104*c_0101_5^5 + 33585710310415/75030252104*c_0101_5^4 - 15173026082643/75030252104*c_0101_5^3 + 9115598797633/75030252104*c_0101_5^2 - 11374340239229/75030252104*c_0101_5 + 738435773419/75030252104, c_0011_0 - 1, c_0011_1 + 1746845343/9378781513*c_0101_5^10 - 10427107861/9378781513*c_0101_5^9 - 36724173601/9378781513*c_0101_5^8 - 70936141187/9378781513*c_0101_5^7 - 141138846943/9378781513*c_0101_5^6 - 18187195147/9378781513*c_0101_5^5 - 143723827930/9378781513*c_0101_5^4 + 53252231126/9378781513*c_0101_5^3 - 11521381512/9378781513*c_0101_5^2 + 50752467909/9378781513*c_0101_5 + 18518701889/9378781513, c_0011_4 + 25551047/18757563026*c_0101_5^10 - 657018557/18757563026*c_0101_5^9 + 1259350648/9378781513*c_0101_5^8 + 9742764681/18757563026*c_0101_5^7 + 14968863033/18757563026*c_0101_5^6 + 28423473349/18757563026*c_0101_5^5 - 18590336807/18757563026*c_0101_5^4 + 15494277351/18757563026*c_0101_5^3 - 7114905363/18757563026*c_0101_5^2 - 6130391467/18757563026*c_0101_5 + 10164053005/18757563026, c_0101_0 - 1329116597/18757563026*c_0101_5^10 + 7753515991/18757563026*c_0101_5^9 + 14369223471/9378781513*c_0101_5^8 + 59445435875/18757563026*c_0101_5^7 + 120647211301/18757563026*c_0101_5^6 + 37586766311/18757563026*c_0101_5^5 + 131853854465/18757563026*c_0101_5^4 - 24529671993/18757563026*c_0101_5^3 + 18233894201/18757563026*c_0101_5^2 - 35747256773/18757563026*c_0101_5 - 31761838017/18757563026, c_0101_1 - 2532116835/9378781513*c_0101_5^10 + 15113185766/9378781513*c_0101_5^9 + 53871893490/9378781513*c_0101_5^8 + 99043028079/9378781513*c_0101_5^7 + 191076715654/9378781513*c_0101_5^6 + 4788875098/9378781513*c_0101_5^5 + 171839902005/9378781513*c_0101_5^4 - 58220039079/9378781513*c_0101_5^3 - 2402352855/9378781513*c_0101_5^2 - 65625164322/9378781513*c_0101_5 - 18670482358/9378781513, c_0101_3 + 25551047/18757563026*c_0101_5^10 - 657018557/18757563026*c_0101_5^9 + 1259350648/9378781513*c_0101_5^8 + 9742764681/18757563026*c_0101_5^7 + 14968863033/18757563026*c_0101_5^6 + 28423473349/18757563026*c_0101_5^5 - 18590336807/18757563026*c_0101_5^4 + 15494277351/18757563026*c_0101_5^3 - 7114905363/18757563026*c_0101_5^2 - 6130391467/18757563026*c_0101_5 - 8593510021/18757563026, c_0101_5^11 - 6*c_0101_5^10 - 21*c_0101_5^9 - 39*c_0101_5^8 - 76*c_0101_5^7 - 2*c_0101_5^6 - 72*c_0101_5^5 + 30*c_0101_5^4 - 2*c_0101_5^3 + 28*c_0101_5^2 + 8*c_0101_5 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB