Magma V2.19-8 Wed Aug 21 2013 01:07:34 on localhost [Seed = 3347177170] Type ? for help. Type -D to quit. Loading file "L14n33491__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n33491 geometric_solution 12.00760846 oriented_manifold CS_known 0.0000000000000001 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 1 0132 0132 0132 2103 1 0 1 1 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 -1 1 2 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 0.369375823127 0.881596232039 0 4 5 0 0132 0132 0132 2103 1 0 1 1 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 -7 7 0 -2 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 0.369375823127 0.881596232039 5 0 7 6 1230 0132 0132 0132 1 1 1 1 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 -6 0 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.402964384903 0.591900982807 8 6 9 0 0132 1302 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 -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 0.629201770521 1.163439448771 10 1 11 9 0132 0132 0132 3201 1 1 1 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 7 -7 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 0.435256910049 0.902597324197 12 2 10 1 0132 3012 3012 0132 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 0 0 0 6 1 -7 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 0.508107855523 1.254970686432 12 7 2 3 1302 1230 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 -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 1.415653755200 0.841890549841 8 11 6 2 1302 2103 3012 0132 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 0 0 0 0 0 0 0 6 0 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.566130748645 1.221757726280 3 7 9 10 0132 2031 3120 1023 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 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 -0.339986012630 0.855227891314 12 4 8 3 3120 2310 3120 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.000528226586 0.832868370323 4 5 12 8 0132 1230 1023 1023 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 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 0.719018148093 1.352997875118 11 7 11 4 2031 2103 1302 0132 1 1 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 0 0 0 -6 -1 7 1 0 -1 0 1 0 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.405274376997 0.563036114874 5 6 10 9 0132 2031 1023 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 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 -0.064519006232 0.587104707644 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_7'], 'c_1001_10' : d['c_0101_1'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_0011_0'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_7' : d['c_0011_11'], 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : negation(d['c_0101_2']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0101_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_2'], 'c_1001_8' : negation(d['c_0101_2']), 'c_1010_12' : negation(d['c_0011_11']), 'c_1010_11' : negation(d['c_1001_2']), 'c_1010_10' : d['c_0101_3'], 's_0_10' : negation(d['1']), 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_1'], 'c_0101_11' : negation(d['c_0011_11']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : negation(d['1']), 's_2_2' : 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' : 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' : negation(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_0011_10' : negation(d['c_0011_0']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_1']), 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : negation(d['c_1001_0']), 'c_1100_6' : negation(d['c_1001_0']), 'c_1100_1' : negation(d['c_0101_1']), 'c_1100_0' : negation(d['c_0101_0']), 'c_1100_3' : negation(d['c_0101_0']), 'c_1100_2' : negation(d['c_1001_0']), 's_3_11' : d['1'], 'c_1100_9' : negation(d['c_0101_0']), 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : d['c_1001_2'], 'c_1010_6' : d['c_0011_3'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : negation(d['c_0101_2']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0101_10']), 'c_1010_8' : d['c_0011_7'], 'c_1100_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' : negation(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'], 'c_1100_12' : negation(d['c_0101_9']), 's_1_7' : 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' : negation(d['1']), 's_1_0' : d['1'], 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : negation(d['c_0011_12']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_11']), '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_7'], 'c_0110_10' : d['c_0011_7'], 'c_0110_12' : d['c_0101_3'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : d['c_0101_3'], 'c_0101_4' : d['c_0011_7'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_3'], 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : negation(d['c_0011_12']), 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : negation(d['c_0101_10']), 's_2_9' : d['1']})} 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_11, c_0011_12, c_0011_3, c_0011_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_3, c_0101_9, c_1001_0, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 336727548360408813/166612863227648*c_1001_2^12 - 894742162374240027/166612863227648*c_1001_2^11 + 217192647565512797/20826607903456*c_1001_2^10 + 10660555805761098157/166612863227648*c_1001_2^9 + 11420984935989233735/333225726455296*c_1001_2^8 - 387219908745111477481/1332902905821184*c_1001_2^7 - 613895255394411853169/666451452910592*c_1001_2^6 - 1985047220547569368103/1332902905821184*c_1001_2^5 - 253701957011077419977/166612863227648*c_1001_2^4 - 1360129300290721119319/1332902905821184*c_1001_2^3 - 292989332315448956745/666451452910592*c_1001_2^2 - 149638178537258869029/1332902905821184*c_1001_2 - 2215294687152169083/166612863227648, c_0011_0 - 1, c_0011_11 + 270686685470/17590040459*c_1001_2^12 + 814048019482/17590040459*c_1001_2^11 - 1175812444700/17590040459*c_1001_2^10 - 9139513189194/17590040459*c_1001_2^9 - 7422449322561/17590040459*c_1001_2^8 + 153138810182227/70360161836*c_1001_2^7 + 274877537131545/35180080918*c_1001_2^6 + 952166049997067/70360161836*c_1001_2^5 + 259926574392420/17590040459*c_1001_2^4 + 747340290840865/70360161836*c_1001_2^3 + 173147026197181/35180080918*c_1001_2^2 + 95117337611189/70360161836*c_1001_2 + 3028062051847/17590040459, c_0011_12 - 111563669372/17590040459*c_1001_2^12 - 358222611146/17590040459*c_1001_2^11 + 454574700056/17590040459*c_1001_2^10 + 3934746988922/17590040459*c_1001_2^9 + 3571547496124/17590040459*c_1001_2^8 - 32304152895473/35180080918*c_1001_2^7 - 238707287510815/70360161836*c_1001_2^6 - 417251184734515/70360161836*c_1001_2^5 - 456429549288159/70360161836*c_1001_2^4 - 325895537344837/70360161836*c_1001_2^3 - 74119499391943/35180080918*c_1001_2^2 - 9833546986863/17590040459*c_1001_2 - 1195083714189/17590040459, c_0011_3 + 294670073507/17590040459*c_1001_2^12 + 917610025823/17590040459*c_1001_2^11 - 1231640585904/17590040459*c_1001_2^10 - 10168183488741/17590040459*c_1001_2^9 - 17665492641581/35180080918*c_1001_2^8 + 336049521427503/140720323672*c_1001_2^7 + 153815918718221/17590040459*c_1001_2^6 + 2149563093477751/140720323672*c_1001_2^5 + 1180399927707165/70360161836*c_1001_2^4 + 1703373373812047/140720323672*c_1001_2^3 + 395594295210407/70360161836*c_1001_2^2 + 217843256361747/140720323672*c_1001_2 + 6987187014599/35180080918, c_0011_7 + 5786269260/17590040459*c_1001_2^12 - 81104293422/17590040459*c_1001_2^11 - 196428029324/17590040459*c_1001_2^10 + 461357993408/17590040459*c_1001_2^9 + 2344534025400/17590040459*c_1001_2^8 + 509806783881/35180080918*c_1001_2^7 - 42003452801157/70360161836*c_1001_2^6 - 110392181075799/70360161836*c_1001_2^5 - 76394607112133/35180080918*c_1001_2^4 - 65083399145349/35180080918*c_1001_2^3 - 69219661249805/70360161836*c_1001_2^2 - 21659984526833/70360161836*c_1001_2 - 815017163307/17590040459, c_0101_0 - 1, c_0101_1 - 278663919193/17590040459*c_1001_2^12 - 659906637584/17590040459*c_1001_2^11 + 1564370614824/17590040459*c_1001_2^10 + 8274365749523/17590040459*c_1001_2^9 + 5567911581817/35180080918*c_1001_2^8 - 314759804409937/140720323672*c_1001_2^7 - 930915081527267/140720323672*c_1001_2^6 - 720887667782967/70360161836*c_1001_2^5 - 354161806982093/35180080918*c_1001_2^4 - 909536248351637/140720323672*c_1001_2^3 - 372233026245717/140720323672*c_1001_2^2 - 22181291601929/35180080918*c_1001_2 - 1176348105753/17590040459, c_0101_10 - 449585963269/17590040459*c_1001_2^12 - 1224395667283/17590040459*c_1001_2^11 + 2228835354578/17590040459*c_1001_2^10 + 14394603069215/17590040459*c_1001_2^9 + 17367515276299/35180080918*c_1001_2^8 - 512217651304577/140720323672*c_1001_2^7 - 839567428207109/70360161836*c_1001_2^6 - 2768086997580205/140720323672*c_1001_2^5 - 360878137919985/17590040459*c_1001_2^4 - 1977410453468239/140720323672*c_1001_2^3 - 434912338116417/70360161836*c_1001_2^2 - 226119297597467/140720323672*c_1001_2 - 6793446265475/35180080918, c_0101_2 + 102578799198/17590040459*c_1001_2^12 + 210191699532/17590040459*c_1001_2^11 - 642827030978/17590040459*c_1001_2^10 - 2837735924238/17590040459*c_1001_2^9 - 118118603445/17590040459*c_1001_2^8 + 57985678764391/70360161836*c_1001_2^7 + 152641400300167/70360161836*c_1001_2^6 + 217023233257603/70360161836*c_1001_2^5 + 192923303469575/70360161836*c_1001_2^4 + 54178943860427/35180080918*c_1001_2^3 + 9097419152198/17590040459*c_1001_2^2 + 1538433017787/17590040459*c_1001_2 + 61692428981/17590040459, c_0101_3 - 177771068049/17590040459*c_1001_2^12 - 243978466726/17590040459*c_1001_2^11 + 1313285350068/17590040459*c_1001_2^10 + 4098585195493/17590040459*c_1001_2^9 - 5578171353939/35180080918*c_1001_2^8 - 193452629208833/140720323672*c_1001_2^7 - 398014669079921/140720323672*c_1001_2^6 - 110863577438495/35180080918*c_1001_2^5 - 134325806401645/70360161836*c_1001_2^4 - 56309235445579/140720323672*c_1001_2^3 + 28659288051975/140720323672*c_1001_2^2 + 5045902930885/35180080918*c_1001_2 + 466409401534/17590040459, c_0101_9 - 177771068049/17590040459*c_1001_2^12 - 243978466726/17590040459*c_1001_2^11 + 1313285350068/17590040459*c_1001_2^10 + 4098585195493/17590040459*c_1001_2^9 - 5578171353939/35180080918*c_1001_2^8 - 193452629208833/140720323672*c_1001_2^7 - 398014669079921/140720323672*c_1001_2^6 - 110863577438495/35180080918*c_1001_2^5 - 134325806401645/70360161836*c_1001_2^4 - 56309235445579/140720323672*c_1001_2^3 + 28659288051975/140720323672*c_1001_2^2 + 5045902930885/35180080918*c_1001_2 + 466409401534/17590040459, c_1001_0 - 23531603030/17590040459*c_1001_2^12 + 8320022568/17590040459*c_1001_2^11 + 253145899646/17590040459*c_1001_2^10 + 280419249650/17590040459*c_1001_2^9 - 1467508466647/17590040459*c_1001_2^8 - 12567729693771/70360161836*c_1001_2^7 - 3405753199081/70360161836*c_1001_2^6 + 28872412480041/70360161836*c_1001_2^5 + 62513377573781/70360161836*c_1001_2^4 + 32479586693003/35180080918*c_1001_2^3 + 19220133965991/35180080918*c_1001_2^2 + 3135297637551/17590040459*c_1001_2 + 463844717947/17590040459, c_1001_2^13 + 3*c_1001_2^12 - 4*c_1001_2^11 - 33*c_1001_2^10 - 59/2*c_1001_2^9 + 1053/8*c_1001_2^8 + 2027/4*c_1001_2^7 + 7419/8*c_1001_2^6 + 2175/2*c_1001_2^5 + 6963/8*c_1001_2^4 + 1911/4*c_1001_2^3 + 1393/8*c_1001_2^2 + 77/2*c_1001_2 + 4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.180 Total time: 0.380 seconds, Total memory usage: 32.09MB