Magma V2.19-8 Tue Aug 20 2013 16:14:41 on localhost [Seed = 1882319983] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation s665 geometric_solution 5.15747714 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 6 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 -1 0 1 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 -1 1 0 0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.440352911069 0.549101935746 0 1 1 4 0132 1230 3012 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 0 0 0 0 0 0 1 -1 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.111158831752 1.108348312881 4 0 5 5 3012 0132 3201 0132 0 0 0 0 0 1 -1 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 1 -1 0 0 0 0 0 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.714894123325 0.906658365414 3 4 3 0 2310 2103 3201 0132 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 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 0.666530417885 0.489096193873 1 3 0 2 3012 2103 0132 1230 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.910413020318 0.893258558246 2 5 2 5 2310 1302 0132 2031 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 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.035430621793 1.159907163419 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : 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_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_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_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_1' : negation(d['c_0011_0']), 'c_1100_0' : negation(d['c_0011_3']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0011_5']), 'c_0101_5' : negation(d['c_0011_3']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_4'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], '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' : negation(d['c_0011_0']), 'c_1001_5' : negation(d['c_0101_2']), 'c_1001_4' : d['c_0011_3'], 'c_1001_1' : d['c_0011_0'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_4'], 'c_1001_2' : d['c_0011_3'], 'c_0110_1' : d['c_0011_4'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_4'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : negation(d['c_0101_2']), 'c_0110_4' : negation(d['c_0011_0']), 'c_1010_5' : d['c_0011_5'], 'c_1010_4' : d['c_0101_2'], 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_0101_1'], 'c_1010_0' : d['c_0011_3']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 7 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0101_1, c_0101_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 23493113996309/2075617272825*c_0101_2^14 + 7348376476399/2075617272825*c_0101_2^13 + 27617483022563/415123454565*c_0101_2^12 - 100781292384088/691872424275*c_0101_2^11 - 577839095363/27674896971*c_0101_2^10 + 166744542566438/415123454565*c_0101_2^9 + 11763193958931/230624141425*c_0101_2^8 - 72792074219368/230624141425*c_0101_2^7 - 703533043127228/2075617272825*c_0101_2^6 + 231546908224541/230624141425*c_0101_2^5 - 1506362894168824/2075617272825*c_0101_2^4 - 7971494926702/27674896971*c_0101_2^3 - 237423274357871/2075617272825*c_0101_2^2 + 515800440603161/2075617272825*c_0101_2 - 142354034296369/2075617272825, c_0011_0 - 1, c_0011_3 + 60368647621/230624141425*c_0101_2^14 + 24489432637/691872424275*c_0101_2^13 - 214278940448/138374484855*c_0101_2^12 + 618696630236/230624141425*c_0101_2^11 + 84182564143/46124828285*c_0101_2^10 - 81179661801/9224965657*c_0101_2^9 - 3521538185408/691872424275*c_0101_2^8 + 4011684834559/691872424275*c_0101_2^7 + 7239388561336/691872424275*c_0101_2^6 - 12935761604563/691872424275*c_0101_2^5 + 5295940729493/691872424275*c_0101_2^4 + 1649391225731/138374484855*c_0101_2^3 + 4110930266767/691872424275*c_0101_2^2 - 2229258010477/691872424275*c_0101_2 - 514195751537/691872424275, c_0011_4 - 158746831364/2075617272825*c_0101_2^14 - 15222491666/2075617272825*c_0101_2^13 + 195487918691/415123454565*c_0101_2^12 - 549263960803/691872424275*c_0101_2^11 - 82509668152/138374484855*c_0101_2^10 + 1142752596194/415123454565*c_0101_2^9 + 348401252656/230624141425*c_0101_2^8 - 514931072778/230624141425*c_0101_2^7 - 7181495278973/2075617272825*c_0101_2^6 + 1310777651516/230624141425*c_0101_2^5 - 4452091204129/2075617272825*c_0101_2^4 - 646175210993/138374484855*c_0101_2^3 - 1661454103496/2075617272825*c_0101_2^2 + 1870022981306/2075617272825*c_0101_2 + 1795182375281/2075617272825, c_0011_5 + 225157904104/2075617272825*c_0101_2^14 + 54507659386/2075617272825*c_0101_2^13 - 54865425302/83024690913*c_0101_2^12 + 714329722073/691872424275*c_0101_2^11 + 137658990323/138374484855*c_0101_2^10 - 1547757532642/415123454565*c_0101_2^9 - 1879224416218/691872424275*c_0101_2^8 + 1924377147074/691872424275*c_0101_2^7 + 10981893439183/2075617272825*c_0101_2^6 - 5189942702198/691872424275*c_0101_2^5 + 2449717114769/2075617272825*c_0101_2^4 + 880981250282/138374484855*c_0101_2^3 + 7417936952296/2075617272825*c_0101_2^2 - 4206918263041/2075617272825*c_0101_2 - 1814143013806/2075617272825, c_0101_1 - 4820326003/415123454565*c_0101_2^14 - 5378179514/83024690913*c_0101_2^13 + 29591989166/415123454565*c_0101_2^12 + 32151621652/138374484855*c_0101_2^11 - 111542638024/138374484855*c_0101_2^10 + 84149260997/415123454565*c_0101_2^9 + 307114951097/138374484855*c_0101_2^8 + 47998084922/138374484855*c_0101_2^7 - 109068390221/83024690913*c_0101_2^6 - 116618476178/138374484855*c_0101_2^5 + 1747882815817/415123454565*c_0101_2^4 - 178660412027/46124828285*c_0101_2^3 - 661427748289/415123454565*c_0101_2^2 - 351375019268/415123454565*c_0101_2 + 159243406699/415123454565, c_0101_2^15 - 6*c_0101_2^13 + 11*c_0101_2^12 + 6*c_0101_2^11 - 35*c_0101_2^10 - 16*c_0101_2^9 + 27*c_0101_2^8 + 40*c_0101_2^7 - 79*c_0101_2^6 + 35*c_0101_2^5 + 46*c_0101_2^4 + 19*c_0101_2^3 - 20*c_0101_2^2 - 3*c_0101_2 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB