Magma V2.19-8 Tue Aug 20 2013 23:55:54 on localhost [Seed = 1360476524] Type ? for help. Type -D to quit. Loading file "L14n13393__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n13393 geometric_solution 10.50266996 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 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 -2 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 -2 -1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.336607375945 0.657264259397 0 3 5 2 0132 3120 0132 3120 1 1 0 1 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760696264987 0.753669017567 1 0 6 3 3120 0132 0132 3120 1 1 0 1 0 0 0 0 0 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 -1 0 1 0 0 -4 4 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.397521754854 0.296263079738 2 1 7 0 3120 3120 0132 0132 1 1 0 1 0 0 0 0 -1 0 1 0 -1 -1 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 -4 0 4 0 1 2 0 -3 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760696264987 0.753669017567 6 6 0 5 2310 0132 0132 2310 1 1 1 1 0 0 0 0 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 0 0 0 3 0 0 -3 0 -3 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.760696264987 0.753669017567 4 8 9 1 3201 0132 0132 0132 1 1 1 1 0 0 0 0 -1 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 0 0 0 0 0 -3 0 3 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567918922459 0.837755915483 7 4 4 2 0321 0132 3201 0132 1 1 1 1 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 0 0 0 0 -4 0 0 4 0 0 0 0 0 3 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382712521134 1.205324145059 6 10 9 3 0321 0132 3201 0132 1 1 1 1 0 1 -1 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 3 -4 1 0 0 4 -4 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567918922459 0.837755915483 11 5 10 11 0132 0132 3120 0213 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 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.303800471509 0.692300102823 7 11 10 5 2310 0132 3201 0132 1 1 1 1 0 0 0 0 0 0 1 -1 -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 1 -1 0 0 0 3 -3 -4 4 0 0 4 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.324134398574 0.327808290502 9 7 8 11 2310 0132 3120 1302 1 1 1 1 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 -3 0 3 4 0 0 -4 -3 4 0 -1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.058605604061 1.238470196966 8 9 10 8 0132 0132 2031 0213 1 1 1 1 0 0 0 0 0 0 -1 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 0 -1 1 0 0 0 -3 3 0 0 0 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.531205428528 0.587281910612 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : negation(d['c_1001_1']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_9']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_0'], 'c_1001_3' : negation(d['c_1001_1']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_10']), 'c_1001_8' : d['c_1001_1'], 'c_1010_11' : negation(d['c_0101_10']), 'c_1010_10' : negation(d['c_0101_9']), 's_3_11' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_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' : negation(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' : negation(d['1']), 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_10']), 'c_1100_5' : negation(d['c_0011_10']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0011_4']), 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_10']), 'c_1100_11' : d['c_0101_9'], 'c_1100_10' : d['c_0101_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_1001_1']), 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : negation(d['c_0101_1']), 'c_1010_3' : d['c_0011_0'], 'c_1010_2' : d['c_0011_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_9'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : negation(d['1']), 's_3_4' : negation(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_11']), 'c_0011_8' : negation(d['c_0011_11']), 'c_0011_5' : d['c_0011_11'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_10'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0101_11']), 'c_0110_10' : negation(d['c_0101_9']), 'c_0011_6' : negation(d['c_0011_4']), 'c_0101_7' : negation(d['c_0101_5']), 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_4'], 'c_0101_2' : d['c_0011_10'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0101_11']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_5'], 'c_0110_8' : d['c_0101_11'], '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_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : negation(d['c_0101_5']), 'c_0110_7' : d['c_0011_4'], 'c_0011_10' : d['c_0011_10']})} 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_10, c_0011_11, c_0011_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_1001_1, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 37141349076949867/4340390399802391705*c_1001_2^10 - 19894388379816950/868078079960478341*c_1001_2^9 + 14463009375980264/100939311623311435*c_1001_2^8 - 1049401248495768728/4340390399802391705*c_1001_2^7 + 3910484440351028568/4340390399802391705*c_1001_2^6 - 4598715070233390897/4340390399802391705*c_1001_2^5 + 4386469383230876517/4340390399802391705*c_1001_2^4 - 1415905190930370566/868078079960478341*c_1001_2^3 - 6724297680575329432/4340390399802391705*c_1001_2^2 - 503337906675328158/4340390399802391705*c_1001_2 - 15708836283244189056/4340390399802391705, c_0011_0 - 1, c_0011_10 + 289828164472/2365335367739723*c_1001_2^10 - 12318597983956/2365335367739723*c_1001_2^9 + 272229822372/55007799249761*c_1001_2^8 - 166589443048072/2365335367739723*c_1001_2^7 + 13970408618172/2365335367739723*c_1001_2^6 - 1105075422479496/2365335367739723*c_1001_2^5 - 537147413921408/2365335367739723*c_1001_2^4 - 2159721521637064/2365335367739723*c_1001_2^3 + 314755806446105/2365335367739723*c_1001_2^2 - 2331423306544268/2365335367739723*c_1001_2 + 1787871821154635/2365335367739723, c_0011_11 + 289828164472/2365335367739723*c_1001_2^10 - 12318597983956/2365335367739723*c_1001_2^9 + 272229822372/55007799249761*c_1001_2^8 - 166589443048072/2365335367739723*c_1001_2^7 + 13970408618172/2365335367739723*c_1001_2^6 - 1105075422479496/2365335367739723*c_1001_2^5 - 537147413921408/2365335367739723*c_1001_2^4 - 2159721521637064/2365335367739723*c_1001_2^3 + 314755806446105/2365335367739723*c_1001_2^2 - 2331423306544268/2365335367739723*c_1001_2 + 1787871821154635/2365335367739723, c_0011_4 - 1, c_0101_0 + 11316640841674/2365335367739723*c_1001_2^10 - 11026812677202/2365335367739723*c_1001_2^9 + 3924364080996/55007799249761*c_1001_2^8 - 44877321846374/2365335367739723*c_1001_2^7 + 1168774176269460/2365335367739723*c_1001_2^6 + 240303225451652/2365335367739723*c_1001_2^5 + 2652049336956272/2365335367739723*c_1001_2^4 - 322131237929602/2365335367739723*c_1001_2^3 + 3260949441524782/2365335367739723*c_1001_2^2 - 1190357425496537/2365335367739723*c_1001_2 + 1357801607841456/2365335367739723, c_0101_1 - 1, c_0101_10 + 3055856337648/2365335367739723*c_1001_2^10 + 9483910819216/2365335367739723*c_1001_2^9 + 665323845744/55007799249761*c_1001_2^8 + 162161132885941/2365335367739723*c_1001_2^7 + 255787248272384/2365335367739723*c_1001_2^6 + 1095404857001548/2365335367739723*c_1001_2^5 + 1052216427149920/2365335367739723*c_1001_2^4 + 1419044291144142/2365335367739723*c_1001_2^3 + 1617627926108176/2365335367739723*c_1001_2^2 + 2542568836607052/2365335367739723*c_1001_2 + 192432607832016/2365335367739723, c_0101_11 + 2527538023194/2365335367739723*c_1001_2^10 + 10136754703219/2365335367739723*c_1001_2^9 + 502657873396/55007799249761*c_1001_2^8 + 182628788570442/2365335367739723*c_1001_2^7 + 176492113081684/2365335367739723*c_1001_2^6 + 1343999785421475/2365335367739723*c_1001_2^5 + 853434975779216/2365335367739723*c_1001_2^4 + 2450011012124474/2365335367739723*c_1001_2^3 + 1918249420402750/2365335367739723*c_1001_2^2 + 3608318953412727/2365335367739723*c_1001_2 + 51922522705312/2365335367739723, c_0101_5 - 11316640841674/2365335367739723*c_1001_2^10 + 11026812677202/2365335367739723*c_1001_2^9 - 3924364080996/55007799249761*c_1001_2^8 + 44877321846374/2365335367739723*c_1001_2^7 - 1168774176269460/2365335367739723*c_1001_2^6 - 240303225451652/2365335367739723*c_1001_2^5 - 2652049336956272/2365335367739723*c_1001_2^4 + 322131237929602/2365335367739723*c_1001_2^3 - 3260949441524782/2365335367739723*c_1001_2^2 + 1190357425496537/2365335367739723*c_1001_2 - 1357801607841456/2365335367739723, c_0101_9 + 95131478968/55007799249761*c_1001_2^10 + 224087885252/55007799249761*c_1001_2^9 + 1052453879092/55007799249761*c_1001_2^8 + 4447569214280/55007799249761*c_1001_2^7 + 8160087029812/55007799249761*c_1001_2^6 + 34579138235624/55007799249761*c_1001_2^5 + 28069011616977/55007799249761*c_1001_2^4 + 70006046094136/55007799249761*c_1001_2^3 + 30872244066419/55007799249761*c_1001_2^2 + 68988930746972/55007799249761*c_1001_2 - 22071091621239/55007799249761, c_1001_1 - 11316640841674/2365335367739723*c_1001_2^10 + 11026812677202/2365335367739723*c_1001_2^9 - 3924364080996/55007799249761*c_1001_2^8 + 44877321846374/2365335367739723*c_1001_2^7 - 1168774176269460/2365335367739723*c_1001_2^6 - 240303225451652/2365335367739723*c_1001_2^5 - 2652049336956272/2365335367739723*c_1001_2^4 + 322131237929602/2365335367739723*c_1001_2^3 - 3260949441524782/2365335367739723*c_1001_2^2 + 1190357425496537/2365335367739723*c_1001_2 - 1357801607841456/2365335367739723, c_1001_2^11 - c_1001_2^10 + 16*c_1001_2^9 - 5*c_1001_2^8 + 118*c_1001_2^7 + 20*c_1001_2^6 + 332*c_1001_2^5 + 19*c_1001_2^4 + 479*c_1001_2^3 - 133*c_1001_2^2 + 326*c_1001_2 - 367 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB