Magma V2.19-8 Tue Aug 20 2013 16:17:49 on localhost [Seed = 1713896068] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v2053 geometric_solution 5.58020064 oriented_manifold CS_known -0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 7 1 0 0 1 0132 1230 3012 3201 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 -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 -0.288968755247 0.161610124536 0 0 2 2 0132 2310 2310 0132 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 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 1.872269629970 1.378499840835 3 1 1 4 0132 3201 0132 0132 0 0 0 0 0 -1 0 1 1 0 0 -1 -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 0 1 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 0.675592323519 0.440365675910 2 4 6 5 0132 0321 0132 0132 0 0 0 0 0 -1 1 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 -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 0.689638418967 0.952712315980 6 5 2 3 1023 2310 0132 0321 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 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 0.689638418967 0.952712315980 5 5 3 4 1230 3012 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.394593377650 0.584141366399 6 4 6 3 2310 1023 3201 0132 0 0 0 0 0 1 0 -1 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 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 -0.139526223418 1.003028708037 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_3' : negation(d['1']), 's_3_2' : negation(d['1']), 's_3_5' : negation(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' : negation(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' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_2'], 's_3_6' : d['1'], 'c_1100_1' : d['c_0011_2'], 'c_1100_0' : d['c_0011_0'], 'c_1100_3' : negation(d['c_0011_4']), 'c_1100_2' : d['c_0011_2'], 'c_0101_6' : negation(d['c_0101_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_3'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_0'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_6' : d['c_0011_4'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_2']), 'c_0011_2' : d['c_0011_2'], 'c_1001_5' : negation(d['c_0011_5']), 'c_1001_4' : d['c_0101_0'], 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : negation(d['c_0101_0']), 'c_1001_0' : negation(d['c_0011_0']), 'c_1001_3' : d['c_0011_2'], 'c_1001_2' : negation(d['c_0101_1']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0011_5'], 'c_0110_4' : d['c_0011_2'], 'c_0110_6' : d['c_0101_3'], 'c_1010_6' : d['c_0011_2'], 'c_1010_5' : negation(d['c_0101_0']), 'c_1010_4' : negation(d['c_0011_5']), 'c_1010_3' : negation(d['c_0011_5']), 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : negation(d['c_0101_1']), 'c_1010_0' : 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_2, c_0011_4, c_0011_5, c_0101_0, c_0101_1, c_0101_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 36 Groebner basis: [ t - 3580965187676455759/18673028679450709*c_0101_0*c_0101_3^17 - 15259277860282306413/18673028679450709*c_0101_0*c_0101_3^16 - 7641848967649998594/18673028679450709*c_0101_0*c_0101_3^15 + 65707454634592216955/18673028679450709*c_0101_0*c_0101_3^14 + 59901332489288856968/18673028679450709*c_0101_0*c_0101_3^13 - 326823082069816894201/18673028679450709*c_0101_0*c_0101_3^12 - 678312622844051896394/18673028679450709*c_0101_0*c_0101_3^11 + 242499181601772176727/18673028679450709*c_0101_0*c_0101_3^10 + 1895727454857730993375/18673028679450709*c_0101_0*c_0101_3^9 + 1374044554386573101193/18673028679450709*c_0101_0*c_0101_3^8 - 1256678303082859037034/18673028679450709*c_0101_0*c_0101_3^7 - 1835227623115687514437/18673028679450709*c_0101_0*c_0101_3^6 - 12154594541443715517/18673028679450709*c_0101_0*c_0101_3^5 + 295221597035413497363/18673028679450709*c_0101_0*c_0101_3^4 - 106575881362471610430/18673028679450709*c_0101_0*c_0101_3^3 + 148760928096461336897/18673028679450709*c_0101_0*c_0101_3^2 + 24231090270247252819/18673028679450709*c_0101_0*c_0101_3 - 19616030820824664628/18673028679450709*c_0101_0, c_0011_0 - 1, c_0011_2 - 15820655027807/52014007463651*c_0101_3^17 - 68081349700772/52014007463651*c_0101_3^16 - 39059829168038/52014007463651*c_0101_3^15 + 278131433909252/52014007463651*c_0101_3^14 + 269467409357960/52014007463651*c_0101_3^13 - 1391968370351314/52014007463651*c_0101_3^12 - 3012473701991324/52014007463651*c_0101_3^11 + 740181533759684/52014007463651*c_0101_3^10 + 7936232795107993/52014007463651*c_0101_3^9 + 6460402666009165/52014007463651*c_0101_3^8 - 4112221866307325/52014007463651*c_0101_3^7 - 7203704352486012/52014007463651*c_0101_3^6 - 812239489485203/52014007463651*c_0101_3^5 + 211055090953171/52014007463651*c_0101_3^4 - 693513217821800/52014007463651*c_0101_3^3 + 600200595724510/52014007463651*c_0101_3^2 + 51014166058744/52014007463651*c_0101_3 - 34182668910958/52014007463651, c_0011_4 - 5300766908188427/18673028679450709*c_0101_0*c_0101_3^17 - 23865233074673977/18673028679450709*c_0101_0*c_0101_3^16 - 17018683553637073/18673028679450709*c_0101_0*c_0101_3^15 + 93239260136883000/18673028679450709*c_0101_0*c_0101_3^14 + 110797767025477303/18673028679450709*c_0101_0*c_0101_3^13 - 457953446347639399/18673028679450709*c_0101_0*c_0101_3^12 - 1113359497603910652/18673028679450709*c_0101_0*c_0101_3^11 + 95268825667769174/18673028679450709*c_0101_0*c_0101_3^10 + 2827600210299134128/18673028679450709*c_0101_0*c_0101_3^9 + 2697724959396079131/18673028679450709*c_0101_0*c_0101_3^8 - 1222700243205372614/18673028679450709*c_0101_0*c_0101_3^7 - 2988327913646228307/18673028679450709*c_0101_0*c_0101_3^6 - 706064612831731887/18673028679450709*c_0101_0*c_0101_3^5 + 267547924186256318/18673028679450709*c_0101_0*c_0101_3^4 - 103776821656357925/18673028679450709*c_0101_0*c_0101_3^3 + 197113669295930463/18673028679450709*c_0101_0*c_0101_3^2 + 69147597667767985/18673028679450709*c_0101_0*c_0101_3 - 22112267909198281/18673028679450709*c_0101_0, c_0011_5 - 3233250305693748/18673028679450709*c_0101_0*c_0101_3^17 - 14490820841771900/18673028679450709*c_0101_0*c_0101_3^16 - 9542550004886059/18673028679450709*c_0101_0*c_0101_3^15 + 59113815179831112/18673028679450709*c_0101_0*c_0101_3^14 + 66455480309740544/18673028679450709*c_0101_0*c_0101_3^13 - 291132778702254597/18673028679450709*c_0101_0*c_0101_3^12 - 677677608018244624/18673028679450709*c_0101_0*c_0101_3^11 + 124840313466181240/18673028679450709*c_0101_0*c_0101_3^10 + 1801570991459582401/18673028679450709*c_0101_0*c_0101_3^9 + 1527584482291660754/18673028679450709*c_0101_0*c_0101_3^8 - 1045305526957657490/18673028679450709*c_0101_0*c_0101_3^7 - 1891889538354372799/18673028679450709*c_0101_0*c_0101_3^6 - 120888191591166440/18673028679450709*c_0101_0*c_0101_3^5 + 384193514246488170/18673028679450709*c_0101_0*c_0101_3^4 - 145572166989030591/18673028679450709*c_0101_0*c_0101_3^3 + 69095136255036422/18673028679450709*c_0101_0*c_0101_3^2 + 42726888951015078/18673028679450709*c_0101_0*c_0101_3 - 30801801317247599/18673028679450709*c_0101_0, c_0101_0^2 - 14252434745004/52014007463651*c_0101_3^17 - 66536752831376/52014007463651*c_0101_3^16 - 57398497174437/52014007463651*c_0101_3^15 + 238925565023944/52014007463651*c_0101_3^14 + 336298496249292/52014007463651*c_0101_3^13 - 1168065023668918/52014007463651*c_0101_3^12 - 3181761565706817/52014007463651*c_0101_3^11 - 311649342029083/52014007463651*c_0101_3^10 + 7465190527816892/52014007463651*c_0101_3^9 + 8484700255896296/52014007463651*c_0101_3^8 - 1710130778690003/52014007463651*c_0101_3^7 - 8090113776546418/52014007463651*c_0101_3^6 - 3129429873439686/52014007463651*c_0101_3^5 + 136883490773480/52014007463651*c_0101_3^4 - 475079735928027/52014007463651*c_0101_3^3 + 218819293150444/52014007463651*c_0101_3^2 + 272133660880834/52014007463651*c_0101_3 - 50234209917957/52014007463651, c_0101_1 + 14252434745004/52014007463651*c_0101_3^17 + 66536752831376/52014007463651*c_0101_3^16 + 57398497174437/52014007463651*c_0101_3^15 - 238925565023944/52014007463651*c_0101_3^14 - 336298496249292/52014007463651*c_0101_3^13 + 1168065023668918/52014007463651*c_0101_3^12 + 3181761565706817/52014007463651*c_0101_3^11 + 311649342029083/52014007463651*c_0101_3^10 - 7465190527816892/52014007463651*c_0101_3^9 - 8484700255896296/52014007463651*c_0101_3^8 + 1710130778690003/52014007463651*c_0101_3^7 + 8090113776546418/52014007463651*c_0101_3^6 + 3129429873439686/52014007463651*c_0101_3^5 - 136883490773480/52014007463651*c_0101_3^4 + 475079735928027/52014007463651*c_0101_3^3 - 218819293150444/52014007463651*c_0101_3^2 - 272133660880834/52014007463651*c_0101_3 - 1779797545694/52014007463651, c_0101_3^18 + 4*c_0101_3^17 + c_0101_3^16 - 19*c_0101_3^15 - 12*c_0101_3^14 + 96*c_0101_3^13 + 166*c_0101_3^12 - 119*c_0101_3^11 - 516*c_0101_3^10 - 245*c_0101_3^9 + 462*c_0101_3^8 + 431*c_0101_3^7 - 135*c_0101_3^6 - 94*c_0101_3^5 + 49*c_0101_3^4 - 49*c_0101_3^3 + 3*c_0101_3^2 + 8*c_0101_3 - 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.040 Total time: 0.240 seconds, Total memory usage: 32.09MB