Magma V2.19-8 Tue Aug 20 2013 16:17:17 on localhost [Seed = 644332272] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1529 geometric_solution 5.32410282 oriented_manifold CS_known 0.0000000000000006 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 1 1230 3012 0132 2310 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 1.466527833170 0.213062647212 0 2 2 0 3201 0132 1023 0132 0 0 0 0 0 -1 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 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 1.142213703623 0.274324360988 3 1 1 4 0132 0132 1023 0132 0 0 0 0 0 1 0 -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 1 0 -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 0.800169064917 0.452205833305 2 5 6 4 0132 0132 0132 2031 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 -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 0.518575938207 0.505848448862 6 3 2 5 2310 1302 0132 1023 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 1 -1 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 0.518575938207 0.505848448862 5 3 5 4 2310 0132 3201 1023 0 0 0 0 0 0 0 0 -1 0 0 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 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 0.025635808443 1.049947449781 6 6 4 3 1302 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523916343833 0.487368729290 ==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' : 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' : d['1'], 's_2_4' : 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' : 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' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : d['c_0011_1'], 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_1'], 'c_1100_0' : d['c_0011_1'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : negation(d['c_0011_1']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0011_4']), 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), '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_6'], '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' : d['c_0011_4'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_3']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0101_2'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_4'], 'c_0110_4' : d['c_0011_6'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_6'], 'c_1010_4' : d['c_0011_4'], 'c_1010_3' : d['c_0011_4'], 'c_1010_2' : d['c_0101_2'], '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_0011_6, c_0101_0, c_0101_2, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 26 Groebner basis: [ t - 2148631579540727/122789595461267*c_0101_3^12 + 301210102071908/17541370780181*c_0101_3^11 - 40736932494798531/122789595461267*c_0101_3^10 - 67434828372773709/122789595461267*c_0101_3^9 + 42644064111010262/122789595461267*c_0101_3^8 + 145885095769170795/122789595461267*c_0101_3^7 + 183996288948449645/122789595461267*c_0101_3^6 + 194356912236320633/122789595461267*c_0101_3^5 - 29243327244528150/122789595461267*c_0101_3^4 - 250827222879258278/122789595461267*c_0101_3^3 - 342433483178069155/122789595461267*c_0101_3^2 - 304966099829026852/122789595461267*c_0101_3 - 90924711631548003/122789595461267, c_0011_0 - 1, c_0011_1 + 43387581138/604874854489*c_0101_3^12 - 73679020035/604874854489*c_0101_3^11 + 872187314160/604874854489*c_0101_3^10 + 718265965076/604874854489*c_0101_3^9 - 1430264322692/604874854489*c_0101_3^8 - 2445842518614/604874854489*c_0101_3^7 - 2835624016302/604874854489*c_0101_3^6 - 2302562253281/604874854489*c_0101_3^5 + 2614525018737/604874854489*c_0101_3^4 + 4828717166017/604874854489*c_0101_3^3 + 6472764253210/604874854489*c_0101_3^2 + 4102870647363/604874854489*c_0101_3 + 431260598555/604874854489, c_0011_4 - 4076651936258/17541370780181*c_0011_6*c_0101_3^12 + 5452665758609/17541370780181*c_0011_6*c_0101_3^11 - 80155129642238/17541370780181*c_0011_6*c_0101_3^10 - 98770501737147/17541370780181*c_0011_6*c_0101_3^9 + 97831036198423/17541370780181*c_0011_6*c_0101_3^8 + 207713611907089/17541370780181*c_0011_6*c_0101_3^7 + 263245953725411/17541370780181*c_0011_6*c_0101_3^6 + 290795502653581/17541370780181*c_0011_6*c_0101_3^5 - 110756149210640/17541370780181*c_0011_6*c_0101_3^4 - 336577657611670/17541370780181*c_0011_6*c_0101_3^3 - 442345415842014/17541370780181*c_0011_6*c_0101_3^2 - 365511733956783/17541370780181*c_0011_6*c_0101_3 - 26677502401819/17541370780181*c_0011_6, c_0011_6^2 - 1060807104150/17541370780181*c_0101_3^12 + 1969062083026/17541370780181*c_0101_3^11 - 21973331387100/17541370780181*c_0101_3^10 - 13967668587817/17541370780181*c_0101_3^9 + 30312724426971/17541370780181*c_0101_3^8 + 40850239344900/17541370780181*c_0101_3^7 + 49385155895738/17541370780181*c_0101_3^6 + 50428297893724/17541370780181*c_0101_3^5 - 45197953451895/17541370780181*c_0101_3^4 - 60215693677959/17541370780181*c_0101_3^3 - 109170069906759/17541370780181*c_0101_3^2 - 48652673741341/17541370780181*c_0101_3 - 3802529815560/17541370780181, c_0101_0 - 756436254932/17541370780181*c_0101_3^12 + 620503002455/17541370780181*c_0101_3^11 - 15704590567704/17541370780181*c_0101_3^10 - 25453956275575/17541370780181*c_0101_3^9 - 18354072867517/17541370780181*c_0101_3^8 - 9313418200640/17541370780181*c_0101_3^7 + 30877042178467/17541370780181*c_0101_3^6 + 75894556243581/17541370780181*c_0101_3^5 + 76234478254295/17541370780181*c_0101_3^4 + 100456858185727/17541370780181*c_0101_3^3 + 54615537725634/17541370780181*c_0101_3^2 + 37840961889188/17541370780181*c_0101_3 + 22743016728032/17541370780181, c_0101_2 + 402655354731/17541370780181*c_0101_3^12 - 425595937888/17541370780181*c_0101_3^11 + 8758764956803/17541370780181*c_0101_3^10 + 11194787520360/17541370780181*c_0101_3^9 + 13387382633891/17541370780181*c_0101_3^8 + 10309422770373/17541370780181*c_0101_3^7 - 11018017990617/17541370780181*c_0101_3^6 - 48504290401116/17541370780181*c_0101_3^5 - 57534094730222/17541370780181*c_0101_3^4 - 63025852324169/17541370780181*c_0101_3^3 - 30872374891134/17541370780181*c_0101_3^2 - 21138006643466/17541370780181*c_0101_3 + 9416384857594/17541370780181, c_0101_3^13 - c_0101_3^12 + 19*c_0101_3^11 + 31*c_0101_3^10 - 20*c_0101_3^9 - 67*c_0101_3^8 - 85*c_0101_3^7 - 90*c_0101_3^6 + 14*c_0101_3^5 + 115*c_0101_3^4 + 158*c_0101_3^3 + 141*c_0101_3^2 + 42*c_0101_3 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB