Magma V2.19-8 Tue Aug 20 2013 16:17:39 on localhost [Seed = 559988167] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1886 geometric_solution 5.50767207 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 1 0 0132 1302 1023 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 0 1 -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 0 0 0 0.374488817635 0.197851650609 0 2 0 3 0132 0132 1023 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 -1 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 1.033580590832 2.399098026633 3 1 4 5 3201 0132 0132 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 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 0.168630535913 0.712390323431 5 4 1 2 0132 0132 0132 2310 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 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 0.168630535913 0.712390323431 6 3 6 2 0132 0132 1023 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.751738449956 0.551217876598 3 6 2 6 0132 2310 0132 3201 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 -1 0 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 0.631527239446 0.587367463181 4 5 4 5 0132 2310 1023 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.631527239446 0.587367463181 ==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' : negation(d['1']), 's_3_0' : d['1'], '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' : negation(d['1']), 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : negation(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_0_6' : negation(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_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : negation(d['c_0011_3']), 's_3_6' : negation(d['1']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : d['c_0011_0'], 'c_1100_2' : negation(d['c_0011_3']), 'c_0101_6' : d['c_0101_2'], 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_3']), 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_3'], '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' : d['c_0011_0'], 'c_1001_5' : d['c_0101_0'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : d['c_0101_4'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_2']), 'c_0110_2' : negation(d['c_0101_2']), 'c_0110_5' : d['c_0101_0'], 'c_0110_4' : d['c_0101_2'], 'c_0110_6' : d['c_0101_4'], 'c_1010_6' : negation(d['c_0101_0']), 'c_1010_5' : negation(d['c_0101_4']), 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_0101_2'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_1001_2'], 'c_1010_0' : d['c_0011_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_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t + 21/2*c_0101_4*c_1001_2^2 - 8*c_0101_4*c_1001_2 - 35*c_0101_4 - 444/7*c_1001_2^2 + 732/7*c_1001_2 + 596/7, c_0011_0 - 1, c_0011_3 - 2*c_0101_4*c_1001_2 + 2*c_1001_2^2, c_0101_0 - c_1001_2, c_0101_1 - c_1001_2^2 + c_1001_2 + 1, c_0101_2 - c_0101_4 + c_1001_2, c_0101_4^2 + 8/7*c_0101_4*c_1001_2^2 - 27/7*c_0101_4*c_1001_2 - 12/7*c_0101_4 + c_1001_2^2, c_1001_2^3 - 2*c_1001_2^2 - c_1001_2 + 1 ], Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_2, c_0101_4, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2896418235596718436689/24899694164060335240346*c_1001_2^11 + 12338213459531359833822/12449847082030167620173*c_1001_2^10 + 36857407789936287956779/24899694164060335240346*c_1001_2^9 - 143569082732330478537692/12449847082030167620173*c_1001_2^8 - 64612585527267453934149/1131804280184560692743*c_1001_2^7 - 593252439935523412013795/12449847082030167620173*c_1001_2^6 + 352930186958161559239005/1131804280184560692743*c_1001_2^5 + 1360243135783974589997007/24899694164060335240346*c_1001_2^4 - 1209869187060705161463659/2263608560369121385486*c_1001_2^3 - 4825088397450922449781891/24899694164060335240346*c_1001_2^2 + 4999973869921119189901600/12449847082030167620173*c_1001_2 + 3121074639798517860984986/12449847082030167620173, c_0011_0 - 1, c_0011_3 - 57760568536226917/1449173214064738403*c_1001_2^11 - 751857063900929515/1449173214064738403*c_1001_2^10 - 3907250308552726560/1449173214064738403*c_1001_2^9 - 9293174107244366442/1449173214064738403*c_1001_2^8 - 1354777989803860262/1449173214064738403*c_1001_2^7 + 41549920367902272094/1449173214064738403*c_1001_2^6 + 18014320431744686314/1449173214064738403*c_1001_2^5 - 84399321699917266311/1449173214064738403*c_1001_2^4 - 68157438093267546156/1449173214064738403*c_1001_2^3 + 54953074076481722290/1449173214064738403*c_1001_2^2 + 83736953352960883167/1449173214064738403*c_1001_2 + 27659466162375368559/1449173214064738403, c_0101_0 + 27641973446096609/1449173214064738403*c_1001_2^11 + 366876588252350073/1449173214064738403*c_1001_2^10 + 1957781262333999922/1449173214064738403*c_1001_2^9 + 4875182302714279759/1449173214064738403*c_1001_2^8 + 1541840606239843955/1449173214064738403*c_1001_2^7 - 20233401137511843382/1449173214064738403*c_1001_2^6 - 13572484584259521633/1449173214064738403*c_1001_2^5 + 40721475407249205719/1449173214064738403*c_1001_2^4 + 42262067854980784394/1449173214064738403*c_1001_2^3 - 23024434804138707407/1449173214064738403*c_1001_2^2 - 47815961178656758610/1449173214064738403*c_1001_2 - 18846500282355555481/1449173214064738403, c_0101_1 - 17686270528064661/1449173214064738403*c_1001_2^11 - 233394088462829533/1449173214064738403*c_1001_2^10 - 1235301515999677934/1449173214064738403*c_1001_2^9 - 3029234554181641934/1449173214064738403*c_1001_2^8 - 767691189630547946/1449173214064738403*c_1001_2^7 + 13006598619448678595/1449173214064738403*c_1001_2^6 + 7783851639940047100/1449173214064738403*c_1001_2^5 - 26565305638318912729/1449173214064738403*c_1001_2^4 - 25723176882552170524/1449173214064738403*c_1001_2^3 + 17167639291923817218/1449173214064738403*c_1001_2^2 + 30698391477516230866/1449173214064738403*c_1001_2 + 9247261905993960937/1449173214064738403, c_0101_2 - 57557603640015392/1449173214064738403*c_1001_2^11 - 774520631646170861/1449173214064738403*c_1001_2^10 - 4204292000977560018/1449173214064738403*c_1001_2^9 - 10741374729512715100/1449173214064738403*c_1001_2^8 - 4302912615726706245/1449173214064738403*c_1001_2^7 + 43130529553502469634/1449173214064738403*c_1001_2^6 + 35240048155997333324/1449173214064738403*c_1001_2^5 - 88787388844935172744/1449173214064738403*c_1001_2^4 - 102663462245430368348/1449173214064738403*c_1001_2^3 + 50312344729770414504/1449173214064738403*c_1001_2^2 + 112289624344714823508/1449173214064738403*c_1001_2 + 43205038305540487226/1449173214064738403, c_0101_4 - 27641973446096609/1449173214064738403*c_1001_2^11 - 366876588252350073/1449173214064738403*c_1001_2^10 - 1957781262333999922/1449173214064738403*c_1001_2^9 - 4875182302714279759/1449173214064738403*c_1001_2^8 - 1541840606239843955/1449173214064738403*c_1001_2^7 + 20233401137511843382/1449173214064738403*c_1001_2^6 + 13572484584259521633/1449173214064738403*c_1001_2^5 - 40721475407249205719/1449173214064738403*c_1001_2^4 - 42262067854980784394/1449173214064738403*c_1001_2^3 + 23024434804138707407/1449173214064738403*c_1001_2^2 + 47815961178656758610/1449173214064738403*c_1001_2 + 18846500282355555481/1449173214064738403, c_1001_2^12 + 12*c_1001_2^11 + 54*c_1001_2^10 + 87*c_1001_2^9 - 165*c_1001_2^8 - 795*c_1001_2^7 + 440*c_1001_2^6 + 2063*c_1001_2^5 - 341*c_1001_2^4 - 2742*c_1001_2^3 - 614*c_1001_2^2 + 1490*c_1001_2 + 781 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB