Magma V2.19-8 Tue Aug 20 2013 16:18:38 on localhost [Seed = 997893642] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2804 geometric_solution 6.03550240 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 1 2 3 0132 0213 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 -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 0.735044449337 0.587200527230 0 4 0 5 0132 0132 0213 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 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 0 0 0 0.561852723377 0.154603143915 5 4 6 0 0132 0321 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.842089559982 0.469312212960 3 4 0 3 3012 2031 0132 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.752848653394 0.942515498808 3 1 6 2 1302 0132 1302 0321 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 0.582541398204 1.020498073402 2 5 1 5 0132 1302 0132 2031 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 -1 1 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 0.778842653282 0.596001709534 4 6 6 2 2031 3201 2310 0132 0 0 0 0 0 -1 0 1 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 0.841046408716 0.571782697586 ==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' : d['c_0011_3'], 'c_1100_5' : d['c_0011_2'], 'c_1100_4' : d['c_0101_6'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0011_0'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0011_0'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : negation(d['c_0011_2']), 'c_0011_4' : d['c_0011_0'], '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_2'], 'c_1001_5' : d['c_0101_2'], 'c_1001_4' : d['c_0101_2'], 'c_1001_6' : negation(d['c_0101_6']), 'c_1001_1' : d['c_1001_0'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : d['c_0101_6'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_0'], 'c_0110_3' : d['c_0011_3'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_2']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_0101_6'], 'c_1010_5' : negation(d['c_0011_2']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0101_2'], 'c_1010_0' : 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_3, c_0101_0, c_0101_2, c_0101_6, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 17 Groebner basis: [ t + 10384933647957/1880936237*c_1001_0^16 + 106228612990974/1880936237*c_1001_0^15 - 444076156875511/1880936237*c_1001_0^14 + 426135987092369/1880936237*c_1001_0^13 + 1005895124114628/1880936237*c_1001_0^12 - 3707997765780324/1880936237*c_1001_0^11 + 4308771238773638/1880936237*c_1001_0^10 - 2236998934081708/1880936237*c_1001_0^9 + 939114152829226/1880936237*c_1001_0^8 + 605860271260283/1880936237*c_1001_0^7 - 3075593335555472/1880936237*c_1001_0^6 + 4288891118178085/1880936237*c_1001_0^5 - 4146069411686522/1880936237*c_1001_0^4 + 2967215950048191/1880936237*c_1001_0^3 - 1325644477616262/1880936237*c_1001_0^2 + 313797067797084/1880936237*c_1001_0 - 29840514858137/1880936237, c_0011_0 - 1, c_0011_2 + 3211056923260/1880936237*c_1001_0^16 + 33774623684295/1880936237*c_1001_0^15 - 126977460342283/1880936237*c_1001_0^14 + 101363202972578/1880936237*c_1001_0^13 + 321693144011118/1880936237*c_1001_0^12 - 1046871704733258/1880936237*c_1001_0^11 + 1090552163487894/1880936237*c_1001_0^10 - 524672826562289/1880936237*c_1001_0^9 + 241752583622667/1880936237*c_1001_0^8 + 227167214026147/1880936237*c_1001_0^7 - 860914694623066/1880936237*c_1001_0^6 + 1132146383281194/1880936237*c_1001_0^5 - 1073811841875921/1880936237*c_1001_0^4 + 735003271082561/1880936237*c_1001_0^3 - 309638568053220/1880936237*c_1001_0^2 + 69366626991545/1880936237*c_1001_0 - 6293416570472/1880936237, c_0011_3 - 2828601174749/1880936237*c_1001_0^16 - 29540804411284/1880936237*c_1001_0^15 + 114165069455831/1880936237*c_1001_0^14 - 96635100554793/1880936237*c_1001_0^13 - 279884085797907/1880936237*c_1001_0^12 + 944814750785359/1880936237*c_1001_0^11 - 1019674196638421/1880936237*c_1001_0^10 + 508414549804362/1880936237*c_1001_0^9 - 227630927556404/1880936237*c_1001_0^8 - 190479437617490/1880936237*c_1001_0^7 + 777460307221090/1880936237*c_1001_0^6 - 1045597293891755/1880936237*c_1001_0^5 + 999521496358579/1880936237*c_1001_0^4 - 694986516370627/1880936237*c_1001_0^3 + 300645403122561/1880936237*c_1001_0^2 - 69509802826594/1880936237*c_1001_0 + 6517590194284/1880936237, c_0101_0 + 139044716353/1880936237*c_1001_0^16 + 1519144439578/1880936237*c_1001_0^15 - 4852987495275/1880936237*c_1001_0^14 + 2704526552735/1880936237*c_1001_0^13 + 14125960796547/1880936237*c_1001_0^12 - 39182809651424/1880936237*c_1001_0^11 + 34109626068106/1880936237*c_1001_0^10 - 16076700218044/1880936237*c_1001_0^9 + 9385094107191/1880936237*c_1001_0^8 + 11974190025871/1880936237*c_1001_0^7 - 31216124313142/1880936237*c_1001_0^6 + 38766406451004/1880936237*c_1001_0^5 - 36607148554446/1880936237*c_1001_0^4 + 23389814588069/1880936237*c_1001_0^3 - 9597230017771/1880936237*c_1001_0^2 + 2382913753070/1880936237*c_1001_0 - 268335779791/1880936237, c_0101_2 - 3082359647212/1880936237*c_1001_0^16 - 32370598943685/1880936237*c_1001_0^15 + 122451661644662/1880936237*c_1001_0^14 - 98916998349683/1880936237*c_1001_0^13 - 308317050881108/1880936237*c_1001_0^12 + 1010346614894040/1880936237*c_1001_0^11 - 1059631749578624/1880936237*c_1001_0^10 + 511949810769353/1880936237*c_1001_0^9 - 234227824520092/1880936237*c_1001_0^8 - 215974699851624/1880936237*c_1001_0^7 + 831410145344747/1880936237*c_1001_0^6 - 1097006458197492/1880936237*c_1001_0^5 + 1041444725206437/1880936237*c_1001_0^4 - 714844931800790/1880936237*c_1001_0^3 + 302149306945227/1880936237*c_1001_0^2 - 67827381458747/1880936237*c_1001_0 + 6154371854119/1880936237, c_0101_6 + 171062648656/1880936237*c_1001_0^16 + 2083186195855/1880936237*c_1001_0^15 - 3649471422305/1880936237*c_1001_0^14 - 4413293680189/1880936237*c_1001_0^13 + 21659570402543/1880936237*c_1001_0^12 - 25303682600666/1880936237*c_1001_0^11 - 20643028756361/1880936237*c_1001_0^10 + 32860940942934/1880936237*c_1001_0^9 - 6144485151091/1880936237*c_1001_0^8 + 24956605099420/1880936237*c_1001_0^7 - 19962865516787/1880936237*c_1001_0^6 - 4022916323772/1880936237*c_1001_0^5 + 13815445038609/1880936237*c_1001_0^4 - 23744460323474/1880936237*c_1001_0^3 + 20121797293426/1880936237*c_1001_0^2 - 7210739856553/1880936237*c_1001_0 + 912667366482/1880936237, c_1001_0^17 + 10*c_1001_0^16 - 45*c_1001_0^15 + 52*c_1001_0^14 + 84*c_1001_0^13 - 378*c_1001_0^12 + 508*c_1001_0^11 - 338*c_1001_0^10 + 159*c_1001_0^9 + 32*c_1001_0^8 - 305*c_1001_0^7 + 491*c_1001_0^6 - 516*c_1001_0^5 + 401*c_1001_0^4 - 214*c_1001_0^3 + 71*c_1001_0^2 - 13*c_1001_0 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.030 Total time: 0.230 seconds, Total memory usage: 32.09MB