Magma V2.19-8 Tue Aug 20 2013 16:17:27 on localhost [Seed = 1275973766] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1678 geometric_solution 5.40546042 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 2 0132 3201 2310 0132 0 0 0 0 0 -1 0 1 -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 0 1 -1 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 0.112841881000 0.967868323578 0 3 4 2 0132 0132 0132 0321 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 -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 0.797968388420 0.755467200463 4 1 0 5 2310 0321 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 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 0.797968388420 0.755467200463 4 1 6 5 0132 0132 0132 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412799131366 0.496510554250 3 5 2 1 0132 2310 3201 0132 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 -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 2.080872645831 0.215575076088 3 6 2 4 3201 0132 0132 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.412799131366 0.496510554250 6 5 6 3 2310 0132 3201 0132 0 0 0 0 0 -1 1 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 -0.990102024283 1.190884542839 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : negation(d['1']), 's_3_4' : negation(d['1']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(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' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : 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' : negation(d['1']), 'c_1100_6' : d['c_0011_5'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_2']), 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_2']), 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : d['c_0011_5'], 'c_1100_2' : d['c_0011_0'], 'c_0101_6' : negation(d['c_0101_1']), 'c_0101_5' : negation(d['c_0101_4']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_2']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_6' : negation(d['c_0011_5']), 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_0'], 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : negation(d['c_0101_1']), 'c_1001_6' : d['c_0101_1'], 'c_1001_1' : negation(d['c_0110_5']), 'c_1001_0' : d['c_0011_2'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_2']), 'c_0110_1' : negation(d['c_0011_2']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_4'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_1'], 'c_0110_6' : d['c_0101_1'], 'c_1010_6' : d['c_1001_3'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : negation(d['c_0110_5']), 'c_1010_3' : negation(d['c_0110_5']), 'c_1010_2' : d['c_1001_3'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : negation(d['c_0011_2'])})} 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_2, c_0011_5, c_0101_1, c_0101_4, c_0110_5, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 6310117041331/47744529176*c_1001_3^12 + 34075985423433/23872264588*c_1001_3^11 + 24993168760151/11936132294*c_1001_3^10 - 28969213969503/23872264588*c_1001_3^9 - 82835383422111/23872264588*c_1001_3^8 - 138023953965995/47744529176*c_1001_3^7 + 217439601312169/47744529176*c_1001_3^6 + 324589921104625/47744529176*c_1001_3^5 + 35377358124069/5968066147*c_1001_3^4 + 174482729022463/47744529176*c_1001_3^3 + 40578053755875/23872264588*c_1001_3^2 - 632447134493/5968066147*c_1001_3 - 30012937400231/47744529176, c_0011_0 - 1, c_0011_2 - 7474251047/23872264588*c_1001_3^12 - 40910780149/11936132294*c_1001_3^11 - 32498787578/5968066147*c_1001_3^10 + 26452735679/11936132294*c_1001_3^9 + 98961508045/11936132294*c_1001_3^8 + 174548020743/23872264588*c_1001_3^7 - 224814791473/23872264588*c_1001_3^6 - 398079112613/23872264588*c_1001_3^5 - 89787725587/5968066147*c_1001_3^4 - 295041515223/23872264588*c_1001_3^3 - 85792674665/11936132294*c_1001_3^2 - 9741543931/5968066147*c_1001_3 + 20270537251/23872264588, c_0011_5 - 1576689801/11936132294*c_1001_3^12 - 7505612039/5968066147*c_1001_3^11 - 2102272089/5968066147*c_1001_3^10 + 17981538517/5968066147*c_1001_3^9 + 6144887652/5968066147*c_1001_3^8 - 93228149/11936132294*c_1001_3^7 - 76808757095/11936132294*c_1001_3^6 - 7004773123/11936132294*c_1001_3^5 - 4187120048/5968066147*c_1001_3^4 + 17208734105/11936132294*c_1001_3^3 + 7864790227/5968066147*c_1001_3^2 + 13432969130/5968066147*c_1001_3 + 3413571249/11936132294, c_0101_1 + 908000546/5968066147*c_1001_3^12 + 9589930073/5968066147*c_1001_3^11 + 12552404451/5968066147*c_1001_3^10 - 6666773007/5968066147*c_1001_3^9 - 17712338409/5968066147*c_1001_3^8 - 21864886465/5968066147*c_1001_3^7 + 30745899615/5968066147*c_1001_3^6 + 34818897205/5968066147*c_1001_3^5 + 46004233043/5968066147*c_1001_3^4 + 21622389070/5968066147*c_1001_3^3 + 22832259743/5968066147*c_1001_3^2 + 6628715148/5968066147*c_1001_3 + 917700112/5968066147, c_0101_4 + 7718587975/23872264588*c_1001_3^12 + 40907936113/11936132294*c_1001_3^11 + 26545194420/5968066147*c_1001_3^10 - 44851077127/11936132294*c_1001_3^9 - 93692381725/11936132294*c_1001_3^8 - 134487586891/23872264588*c_1001_3^7 + 299037008585/23872264588*c_1001_3^6 + 322730963321/23872264588*c_1001_3^5 + 74300156903/5968066147*c_1001_3^4 + 140230298439/23872264588*c_1001_3^3 + 41681195041/11936132294*c_1001_3^2 - 9009541638/5968066147*c_1001_3 - 33717642671/23872264588, c_0110_5 - 7718587975/23872264588*c_1001_3^12 - 40907936113/11936132294*c_1001_3^11 - 26545194420/5968066147*c_1001_3^10 + 44851077127/11936132294*c_1001_3^9 + 93692381725/11936132294*c_1001_3^8 + 134487586891/23872264588*c_1001_3^7 - 299037008585/23872264588*c_1001_3^6 - 322730963321/23872264588*c_1001_3^5 - 74300156903/5968066147*c_1001_3^4 - 140230298439/23872264588*c_1001_3^3 - 41681195041/11936132294*c_1001_3^2 + 9009541638/5968066147*c_1001_3 + 33717642671/23872264588, c_1001_3^13 + 11*c_1001_3^12 + 18*c_1001_3^11 - 6*c_1001_3^10 - 28*c_1001_3^9 - 27*c_1001_3^8 + 30*c_1001_3^7 + 58*c_1001_3^6 + 55*c_1001_3^5 + 37*c_1001_3^4 + 19*c_1001_3^3 + 2*c_1001_3^2 - 5*c_1001_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB