Magma V2.19-8 Tue Aug 20 2013 23:57:47 on localhost [Seed = 2581590367] Type ? for help. Type -D to quit. Loading file "L14n35153__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n35153 geometric_solution 10.76115398 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 2 3 4 0132 0132 0132 0132 0 1 1 0 0 1 -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 0 0 0 0 -6 5 1 -9 0 -1 10 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762270450150 1.188044615725 0 4 6 5 0132 1023 0132 0132 1 1 0 1 0 -1 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 0 0 0 0 0 -10 10 0 9 0 -9 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 0.234862675218 1.192512813290 5 0 8 7 0132 0132 0132 0132 0 1 0 1 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 6 0 -6 0 0 0 0 0 0 0 0 9 1 -10 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.117304792232 1.034235605028 7 9 8 0 0132 0132 0321 0132 0 1 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 0 0 0 0 0 0 0 0 5 0 -5 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 0.870911139540 0.667661607227 1 9 0 7 1023 3201 0132 3201 0 1 0 1 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 -1 1 10 0 -10 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 0.420506648605 0.403626672573 2 10 1 11 0132 0132 0132 0132 1 1 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 0 0 0 0 0 0 0 0 0 0 0 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.698856185029 0.451160142920 10 8 11 1 2310 2031 3201 0132 1 1 1 1 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 10 0 -10 -9 0 0 9 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.373879018069 0.939355633412 3 4 2 10 0132 2310 0132 2103 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 0 0 0 0 -1 6 -5 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 0.831000787706 0.732205000961 6 9 3 2 1302 3012 0321 0132 0 1 1 1 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 0 0 0 0 -10 0 0 10 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.722791712860 0.491472235167 8 3 4 10 1230 0132 2310 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.762270450150 1.188044615725 9 5 6 7 3201 0132 3201 2103 1 1 0 1 0 0 0 0 0 0 0 0 1 0 0 -1 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 -5 0 0 5 0 -9 9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.381131745157 0.409443055358 6 11 5 11 2310 1302 0132 2031 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.604037946607 0.535228514837 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_6']), 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : d['c_0110_4'], 'c_1001_4' : negation(d['c_0101_9']), 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : negation(d['c_0101_11']), 'c_1001_1' : d['c_0011_8'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0110_10']), 'c_1001_2' : negation(d['c_0101_9']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_3'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : d['c_0110_4'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_8']), '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_2_7' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : d['1'], 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : 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_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0110_10']), 'c_1100_5' : negation(d['c_0011_11']), 'c_1100_4' : d['c_0011_3'], 'c_1100_7' : negation(d['c_0110_10']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0011_11']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0011_0']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0011_6']), 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0110_4']), 'c_1010_6' : d['c_0011_8'], 'c_1010_5' : negation(d['c_0101_6']), 'c_1010_4' : negation(d['c_1001_0']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0110_4'], 'c_1010_0' : negation(d['c_0101_9']), 'c_1010_9' : negation(d['c_0110_10']), 'c_1010_8' : negation(d['c_0101_9']), '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_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_0']), 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_6'], '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_0110_11' : negation(d['c_0101_6']), 'c_0110_10' : d['c_0110_10'], 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0011_8'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0011_8'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_6']), 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0011_8'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0011_8'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0110_4'], 'c_0110_7' : d['c_0011_6'], 'c_0110_6' : d['c_0011_8']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_11, c_0011_3, c_0011_6, c_0011_8, c_0101_0, c_0101_11, c_0101_6, c_0101_9, c_0110_10, c_0110_4, c_1001_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 4672665205413246389851751231/2814802363267125018029550*c_1001_0^11 - 21321790991986606906156192/1407401181633562509014775*c_1001_0^10 - 128796146096561927255263617541/45036837812274000288472800*c_1001_0^\ 9 + 7271681076464409345040733551/11259209453068500072118200*c_1001_\ 0^8 - 36537144032556731391358975693/22518418906137000144236400*c_10\ 01_0^7 + 41207524480926173658202977061/45036837812274000288472800*c\ _1001_0^6 - 1793508327180662313688169251/4094257982934000026224800*\ c_1001_0^5 + 33782526851502178836809221/127945561966687500819525*c_\ 1001_0^4 - 283336706945076862898433989/2047128991467000013112400*c_\ 1001_0^3 - 111838772906942736316080247/45036837812274000288472800*c\ _1001_0^2 + 1118399696819427383413181/278005171680703705484400*c_10\ 01_0 + 483012183683901249177605521/45036837812274000288472800, c_0011_0 - 1, c_0011_11 - 7076115959568478352/429816282746913583*c_1001_0^11 - 9522344327141665968/429816282746913583*c_1001_0^10 - 10809895489474507491/429816282746913583*c_1001_0^9 - 7125567998835979365/429816282746913583*c_1001_0^8 - 4135797945069001905/429816282746913583*c_1001_0^7 - 317122041115183519/429816282746913583*c_1001_0^6 - 703320497475398900/429816282746913583*c_1001_0^5 - 3271155915263094502/429816282746913583*c_1001_0^4 - 491930520112367200/429816282746913583*c_1001_0^3 - 1457573612391703188/429816282746913583*c_1001_0^2 + 848520130465059528/429816282746913583*c_1001_0 + 28681435614276132/429816282746913583, c_0011_3 - 103970110947342091792/429816282746913583*c_1001_0^11 - 6486024553902716992/429816282746913583*c_1001_0^10 - 186374512594955654939/429816282746913583*c_1001_0^9 + 30718641051198238328/429816282746913583*c_1001_0^8 - 110343791249602018674/429816282746913583*c_1001_0^7 + 56742674033238300013/429816282746913583*c_1001_0^6 - 30221400903766545829/429816282746913583*c_1001_0^5 + 20613365370804512868/429816282746913583*c_1001_0^4 - 9825592213890120116/429816282746913583*c_1001_0^3 + 507759860994438001/429816282746913583*c_1001_0^2 - 330738419219901199/429816282746913583*c_1001_0 + 715376622263525497/429816282746913583, c_0011_6 - 102543708876337724272/429816282746913583*c_1001_0^11 - 60607400315177114880/429816282746913583*c_1001_0^10 - 160235671400185233469/429816282746913583*c_1001_0^9 - 67209065412752891492/429816282746913583*c_1001_0^8 - 41361293949448101389/429816282746913583*c_1001_0^7 - 13351020609582884238/429816282746913583*c_1001_0^6 + 31779213528158037196/429816282746913583*c_1001_0^5 - 7860771879136819053/429816282746913583*c_1001_0^4 + 8674140306261058002/429816282746913583*c_1001_0^3 - 7098943418482404201/429816282746913583*c_1001_0^2 + 822646778503465074/429816282746913583*c_1001_0 + 956696836027735933/429816282746913583, c_0011_8 - 1, c_0101_0 + 85687746040513988960/429816282746913583*c_1001_0^11 + 3829127457799393616/429816282746913583*c_1001_0^10 + 129970201568861399586/429816282746913583*c_1001_0^9 - 25843007375935035857/429816282746913583*c_1001_0^8 + 57210104875473715187/429816282746913583*c_1001_0^7 - 35729938859009165607/429816282746913583*c_1001_0^6 + 9330948382390967988/429816282746913583*c_1001_0^5 - 3872192188394910248/429816282746913583*c_1001_0^4 + 3950963839896724450/429816282746913583*c_1001_0^3 + 2555414264227295420/429816282746913583*c_1001_0^2 - 1134312598944499714/429816282746913583*c_1001_0 - 454459642662757762/429816282746913583, c_0101_11 - 84884990696783103120/429816282746913583*c_1001_0^11 + 22072794604757306848/429816282746913583*c_1001_0^10 - 148683433345999665731/429816282746913583*c_1001_0^9 + 46831840569276178462/429816282746913583*c_1001_0^8 - 94098873919961358339/429816282746913583*c_1001_0^7 + 32881944567591459818/429816282746913583*c_1001_0^6 - 23691040664035737524/429816282746913583*c_1001_0^5 + 3026937275361464534/429816282746913583*c_1001_0^4 + 3347434896236858890/429816282746913583*c_1001_0^3 - 2656652292250593601/429816282746913583*c_1001_0^2 + 3324091104822501156/429816282746913583*c_1001_0 - 1460005668243368271/429816282746913583, c_0101_6 + 20064658596245793472/429816282746913583*c_1001_0^11 - 11236960928413585872/429816282746913583*c_1001_0^10 + 42919626955372660596/429816282746913583*c_1001_0^9 - 15708350831666471503/429816282746913583*c_1001_0^8 + 34409346483009825563/429816282746913583*c_1001_0^7 - 2906064590015654083/429816282746913583*c_1001_0^6 + 10339796548752079016/429816282746913583*c_1001_0^5 + 3846825075814821180/429816282746913583*c_1001_0^4 - 2293830831479119863/429816282746913583*c_1001_0^3 + 2504668299758217879/429816282746913583*c_1001_0^2 - 1749686235526475113/429816282746913583*c_1001_0 + 339879429434443044/429816282746913583, c_0101_9 + 209838050852479559024/429816282746913583*c_1001_0^11 - 26090136040486849952/429816282746913583*c_1001_0^10 + 366019608256929091245/429816282746913583*c_1001_0^9 - 131787045533521810362/429816282746913583*c_1001_0^8 + 216972002635048198504/429816282746913583*c_1001_0^7 - 146111705281135375615/429816282746913583*c_1001_0^6 + 65706598144377248787/429816282746913583*c_1001_0^5 - 41003159194160531032/429816282746913583*c_1001_0^4 + 20223911281730805458/429816282746913583*c_1001_0^3 - 728060407415992467/429816282746913583*c_1001_0^2 - 629598849600567322/429816282746913583*c_1001_0 - 1327976833558984705/429816282746913583, c_0110_10 + 85687746040513988960/429816282746913583*c_1001_0^11 + 3829127457799393616/429816282746913583*c_1001_0^10 + 129970201568861399586/429816282746913583*c_1001_0^9 - 25843007375935035857/429816282746913583*c_1001_0^8 + 57210104875473715187/429816282746913583*c_1001_0^7 - 35729938859009165607/429816282746913583*c_1001_0^6 + 9330948382390967988/429816282746913583*c_1001_0^5 - 3872192188394910248/429816282746913583*c_1001_0^4 + 3950963839896724450/429816282746913583*c_1001_0^3 + 2555414264227295420/429816282746913583*c_1001_0^2 - 1134312598944499714/429816282746913583*c_1001_0 - 454459642662757762/429816282746913583, c_0110_4 + 78611630080945510608/429816282746913583*c_1001_0^11 - 5693216869342272352/429816282746913583*c_1001_0^10 + 119160306079386892095/429816282746913583*c_1001_0^9 - 32968575374771015222/429816282746913583*c_1001_0^8 + 53074306930404713282/429816282746913583*c_1001_0^7 - 36047060900124349126/429816282746913583*c_1001_0^6 + 8627627884915569088/429816282746913583*c_1001_0^5 - 7143348103658004750/429816282746913583*c_1001_0^4 + 3459033319784357250/429816282746913583*c_1001_0^3 + 1097840651835592232/429816282746913583*c_1001_0^2 - 285792468479440186/429816282746913583*c_1001_0 - 425778207048481630/429816282746913583, c_1001_0^12 - 29/61*c_1001_0^11 + 1679/976*c_1001_0^10 - 1187/976*c_1001_0^9 + 569/488*c_1001_0^8 - 989/976*c_1001_0^7 + 257/488*c_1001_0^6 - 275/976*c_1001_0^5 + 77/488*c_1001_0^4 - 37/976*c_1001_0^3 - 3/976*c_1001_0^2 - 5/976*c_1001_0 + 3/976 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.060 Total time: 0.270 seconds, Total memory usage: 32.09MB