Magma V2.19-8 Wed Aug 21 2013 00:54:45 on localhost [Seed = 1679982125] Type ? for help. Type -D to quit. Loading file "L12n623__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L12n623 geometric_solution 11.95880614 oriented_manifold CS_known -0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 3 0132 0132 0132 3120 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 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 0.266962076388 0.599697458695 0 4 5 5 0132 0132 2103 0132 1 0 1 1 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 1 0 -3 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.536714395961 0.579297383995 6 0 8 7 0132 0132 0132 0132 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 -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 1.162327538948 0.842356234542 0 7 5 0 3120 0132 0132 0132 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 0 0 0 0 0 0 0 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 0.817227344906 0.668572724726 9 1 10 6 0132 0132 0132 3012 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 -0.015942216226 1.212664968949 1 7 1 3 2103 2031 0132 0132 1 0 1 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 0 0 3 0 -2 -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 0.139395033070 0.928885473816 2 9 4 11 0132 0132 1230 0132 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 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 0.405751506510 0.770355428458 5 3 2 8 1302 0132 0132 0321 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.786799146988 0.268125416792 10 7 12 2 1302 0321 0132 0132 1 1 1 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 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 0.516300713503 0.684405780809 4 6 12 11 0132 0132 1023 2031 1 1 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 0 0 0 0 0 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 0.676225919784 1.078126927112 12 8 11 4 0132 2031 3201 0132 1 1 1 1 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.525057747843 0.689936721794 10 9 6 12 2310 1302 0132 0321 1 1 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 0 1 -1 -1 0 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 0.202270748772 0.936480624707 10 11 9 8 0132 0321 1023 0132 1 1 1 1 0 0 0 0 0 0 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 1 0 -1 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 0.486955482716 0.366603677796 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_12' : d['c_0101_9'], 'c_1001_5' : d['c_0011_8'], 'c_1001_4' : d['c_0011_8'], 'c_1001_7' : d['c_1001_0'], 'c_1001_6' : d['c_0011_11'], 'c_1001_1' : d['c_0011_5'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_12'], 'c_1001_8' : d['c_1001_8'], 'c_1010_12' : d['c_1001_8'], 'c_1010_11' : d['c_1001_8'], 'c_1010_10' : d['c_0011_8'], 's_3_11' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : 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_10']), 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : negation(d['1']), 's_2_6' : d['1'], 's_2_7' : negation(d['1']), 's_2_12' : 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' : negation(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' : d['c_1001_8'], 'c_0011_12' : negation(d['c_0011_10']), 'c_1100_5' : negation(d['c_0101_3']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_1001_8'], 'c_1100_6' : d['c_0101_9'], 'c_1100_1' : negation(d['c_0101_3']), 'c_1100_0' : negation(d['c_0101_3']), 'c_1100_3' : negation(d['c_0101_3']), 'c_1100_2' : d['c_1001_8'], 's_0_10' : d['1'], 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : negation(d['c_0011_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_12'], 'c_1010_5' : negation(d['c_0011_3']), 'c_1010_4' : d['c_0011_5'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_0011_8'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_0011_11'], 'c_1010_8' : negation(d['c_0011_3']), 's_3_1' : negation(d['1']), 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : negation(d['1']), 'c_1100_12' : d['c_1001_8'], '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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0011_10'], 'c_0110_10' : d['c_0101_12'], 'c_0110_12' : negation(d['c_0011_10']), 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_0'], 'c_0101_7' : negation(d['c_0011_5']), 'c_0101_6' : negation(d['c_0011_5']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_12'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_11'], 'c_0101_1' : d['c_0101_0'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_10']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_12'], 'c_0110_8' : d['c_0101_11'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_1001_8']), 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_5']), 'c_0110_5' : d['c_0101_3'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : negation(d['c_0011_8']), 'c_0110_6' : d['c_0101_11']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_5, c_0011_8, c_0101_0, c_0101_11, c_0101_12, c_0101_3, c_0101_9, c_1001_0, c_1001_8 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 15 Groebner basis: [ t - 786637198946751989790275769/435345299318508291776000*c_1001_8^14 + 31548902029287300556627018487/870690598637016583552000*c_1001_8^13 - 139712459429775740403037833277/870690598637016583552000*c_1001_8^12 - 790031093855154611707481782459/3482762394548066334208000*c_1001_8\ ^11 + 5257070858424687904292435914859/3482762394548066334208000*c_1\ 001_8^10 + 1686723918754641692345887720353/497537484935438047744000\ *c_1001_8^9 + 453105424045093583994175485047/1123471740176795591680\ 00*c_1001_8^8 + 173815079234138295210711585379/49753748493543804774\ 400*c_1001_8^7 + 6288402905351615329920804289571/174138119727403316\ 7104000*c_1001_8^6 + 4579092596797711681967849361157/17413811972740\ 33167104000*c_1001_8^5 + 2370604534412710011986703880447/1741381197\ 274033167104000*c_1001_8^4 + 358233191967415287319460275589/6965524\ 78909613266841600*c_1001_8^3 + 108260350045025094778873710779/69655\ 2478909613266841600*c_1001_8^2 + 93524457745817582693204604611/3482\ 762394548066334208000*c_1001_8 + 16800426633689439322094682621/3482\ 762394548066334208000, c_0011_0 - 1, c_0011_10 + 50373212769/107208908032*c_1001_8^14 - 2227584284943/214417816064*c_1001_8^13 + 13501944656005/214417816064*c_1001_8^12 - 58201212855245/857671264256*c_1001_8^11 - 228078301374499/857671264256*c_1001_8^10 - 296221826656111/857671264256*c_1001_8^9 - 6117512454007/27666814976*c_1001_8^8 - 108173048247641/428835632128*c_1001_8^7 - 96200510450899/428835632128*c_1001_8^6 - 35172475150181/428835632128*c_1001_8^5 - 8363946463559/428835632128*c_1001_8^4 - 3488312021041/857671264256*c_1001_8^3 - 2590609909071/857671264256*c_1001_8^2 - 621319277275/857671264256*c_1001_8 - 160797751309/857671264256, c_0011_11 + 50948465987/53604454016*c_1001_8^14 - 2241971173563/107208908032*c_1001_8^13 + 6704216996651/53604454016*c_1001_8^12 - 52622091559183/428835632128*c_1001_8^11 - 119698652146371/214417816064*c_1001_8^10 - 319254739073915/428835632128*c_1001_8^9 - 55858654841/108073496*c_1001_8^8 - 120687496351635/214417816064*c_1001_8^7 - 56220203030937/107208908032*c_1001_8^6 - 45226803474641/214417816064*c_1001_8^5 - 3495052345651/53604454016*c_1001_8^4 - 9507326947083/428835632128*c_1001_8^3 - 1139465657375/214417816064*c_1001_8^2 - 277858624695/428835632128*c_1001_8 - 23758661027/26802227008, c_0011_3 + 111053551529/53604454016*c_1001_8^14 - 4939548343015/107208908032*c_1001_8^13 + 30437127362093/107208908032*c_1001_8^12 - 147151095756341/428835632128*c_1001_8^11 - 463196428991419/428835632128*c_1001_8^10 - 626716911666111/428835632128*c_1001_8^9 - 12722334717595/13833407488*c_1001_8^8 - 247826570221445/214417816064*c_1001_8^7 - 192419208121711/214417816064*c_1001_8^6 - 82537441836985/214417816064*c_1001_8^5 - 19851277163255/214417816064*c_1001_8^4 - 10333133548625/428835632128*c_1001_8^3 - 650091649279/428835632128*c_1001_8^2 - 500973907875/428835632128*c_1001_8 - 408283312049/428835632128, c_0011_5 - 280004962763/53604454016*c_1001_8^14 + 12547660261585/107208908032*c_1001_8^13 - 78851077250669/107208908032*c_1001_8^12 + 425148333190207/428835632128*c_1001_8^11 + 1086965932750547/428835632128*c_1001_8^10 + 1414093139740857/428835632128*c_1001_8^9 + 25479017509719/13833407488*c_1001_8^8 + 577640456865759/214417816064*c_1001_8^7 + 396180009123943/214417816064*c_1001_8^6 + 157923232812671/214417816064*c_1001_8^5 + 33413683504083/214417816064*c_1001_8^4 + 21610003274003/428835632128*c_1001_8^3 - 1190727920473/428835632128*c_1001_8^2 + 2363219959285/428835632128*c_1001_8 + 397843250325/428835632128, c_0011_8 - 62454659147/26802227008*c_1001_8^14 + 2770322363475/53604454016*c_1001_8^13 - 4236578318575/13401113504*c_1001_8^12 + 78407191935275/214417816064*c_1001_8^11 + 133330460038337/107208908032*c_1001_8^10 + 183466455740441/107208908032*c_1001_8^9 + 7703545668593/6916703744*c_1001_8^8 + 143403335275059/107208908032*c_1001_8^7 + 57453369043915/53604454016*c_1001_8^6 + 6352483225459/13401113504*c_1001_8^5 + 12299378635011/107208908032*c_1001_8^4 + 6324290897863/214417816064*c_1001_8^3 + 281180081657/107208908032*c_1001_8^2 + 166627403517/107208908032*c_1001_8 + 281689478259/214417816064, c_0101_0 - 1, c_0101_11 + 75390083915/107208908032*c_1001_8^14 - 3214842689469/214417816064*c_1001_8^13 + 17545686753531/214417816064*c_1001_8^12 - 20576420427391/857671264256*c_1001_8^11 - 427842696188389/857671264256*c_1001_8^10 - 684407729037601/857671264256*c_1001_8^9 - 18860443076733/27666814976*c_1001_8^8 - 244087588389819/428835632128*c_1001_8^7 - 260613411361901/428835632128*c_1001_8^6 - 138838422139243/428835632128*c_1001_8^5 - 40083400863357/428835632128*c_1001_8^4 - 13974205078843/857671264256*c_1001_8^3 - 5391878719849/857671264256*c_1001_8^2 + 71011355163/857671264256*c_1001_8 - 1114063811071/857671264256, c_0101_12 - 32219222177/53604454016*c_1001_8^14 + 1496151902435/107208908032*c_1001_8^13 - 10258828915135/107208908032*c_1001_8^12 + 79558880136445/428835632128*c_1001_8^11 + 78183135912897/428835632128*c_1001_8^10 + 69729008465259/428835632128*c_1001_8^9 - 444786116067/13833407488*c_1001_8^8 + 47926128096337/214417816064*c_1001_8^7 + 3225512954961/214417816064*c_1001_8^6 - 4560367826831/214417816064*c_1001_8^5 + 378100626469/214417816064*c_1001_8^4 + 5821958558321/428835632128*c_1001_8^3 + 454159078357/428835632128*c_1001_8^2 + 783313092631/428835632128*c_1001_8 - 141965379585/428835632128, c_0101_3 - 155095644469/53604454016*c_1001_8^14 + 7007015534635/107208908032*c_1001_8^13 - 44958450702069/107208908032*c_1001_8^12 + 268333949319657/428835632128*c_1001_8^11 + 553644092597199/428835632128*c_1001_8^10 + 680227316779093/428835632128*c_1001_8^9 + 10071926172533/13833407488*c_1001_8^8 + 290833786315641/214417816064*c_1001_8^7 + 166366532948283/214417816064*c_1001_8^6 + 56283501205327/214417816064*c_1001_8^5 + 8814926234061/214417816064*c_1001_8^4 + 8961421478277/428835632128*c_1001_8^3 - 2315448247101/428835632128*c_1001_8^2 + 1696710345217/428835632128*c_1001_8 - 165535706193/428835632128, c_0101_9 + 148440628559/107208908032*c_1001_8^14 - 6755258844625/214417816064*c_1001_8^13 + 44128712062603/214417816064*c_1001_8^12 - 284661015306675/857671264256*c_1001_8^11 - 491267265960437/857671264256*c_1001_8^10 - 555549943687933/857671264256*c_1001_8^9 - 6035800825661/27666814976*c_1001_8^8 - 253110754200519/428835632128*c_1001_8^7 - 118142368619045/428835632128*c_1001_8^6 - 26008352983991/428835632128*c_1001_8^5 - 2432943233749/428835632128*c_1001_8^4 - 10335208598383/857671264256*c_1001_8^3 - 400390361545/857671264256*c_1001_8^2 - 1921608630689/857671264256*c_1001_8 + 71051686257/857671264256, c_1001_0 - 133074597999/26802227008*c_1001_8^14 + 5973281938825/53604454016*c_1001_8^13 - 37697789032081/53604454016*c_1001_8^12 + 207742522537999/214417816064*c_1001_8^11 + 508420260794309/214417816064*c_1001_8^10 + 326736057111301/107208908032*c_1001_8^9 + 1424641305633/864587968*c_1001_8^8 + 269330178268543/107208908032*c_1001_8^7 + 179392870534997/107208908032*c_1001_8^6 + 17352617880289/26802227008*c_1001_8^5 + 7166550849329/53604454016*c_1001_8^4 + 9647277513451/214417816064*c_1001_8^3 - 832678298911/214417816064*c_1001_8^2 + 549421063273/107208908032*c_1001_8 + 7585862683/13401113504, c_1001_8^15 - 45/2*c_1001_8^14 + 143*c_1001_8^13 - 1641/8*c_1001_8^12 - 454*c_1001_8^11 - 2419/4*c_1001_8^10 - 338*c_1001_8^9 - 4287/8*c_1001_8^8 - 331*c_1001_8^7 - 151*c_1001_8^6 - 45*c_1001_8^5 - 119/8*c_1001_8^4 - 7/4*c_1001_8^2 - 1/8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.170 Total time: 1.379 seconds, Total memory usage: 32.09MB