Magma V2.19-8 Tue Aug 20 2013 23:55:25 on localhost [Seed = 2985810415] Type ? for help. Type -D to quit. Loading file "L14a20566__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L14a20566 geometric_solution 9.35388113 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 0 1 1 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 -7 -1 8 0 0 0 0 -8 7 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416208228757 0.772318863378 0 5 3 6 0132 0132 2103 0132 1 0 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 -1 0 1 0 0 -1 1 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.911497513110 0.593606919088 7 0 4 8 0132 0132 2103 0132 0 0 1 1 0 -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 7 -7 0 1 0 0 -1 0 0 0 0 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.540736829519 1.003394994876 1 6 7 0 2103 1023 0132 0132 0 0 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 -1 0 1 1 0 -1 0 0 0 0 0 8 0 -8 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.540736829519 1.003394994876 2 8 0 9 2103 1023 0132 0132 0 0 0 1 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 0 0 0 0 0 8 -8 0 0 0 0 0 7 -7 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.911497513110 0.593606919088 10 1 10 6 0132 0132 2310 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 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 1.123603175766 0.324237027896 3 5 1 7 1023 1302 0132 2031 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 -1 1 1 0 -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 0.229631585240 0.501697497438 2 6 8 3 0132 1302 0213 0132 0 0 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 -1 0 0 1 -7 -1 0 8 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.416208228757 0.772318863378 4 7 2 9 1023 0213 0132 3120 0 0 0 1 0 0 0 0 1 0 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 -8 0 1 7 7 0 0 -7 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.229631585240 0.501697497438 8 11 4 11 3120 0132 0132 2310 0 0 0 0 0 0 0 0 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 0 0 0 -7 0 0 7 7 -7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.123603175766 0.324237027896 5 5 10 10 0132 3201 2031 1302 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 0.662001507864 0.240683154815 9 9 11 11 3201 0132 2031 1302 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 -7 7 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.662001507864 0.240683154815 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0110_11']), 'c_1001_10' : negation(d['c_0101_5']), 'c_1001_5' : d['c_0101_10'], 'c_1001_4' : d['c_0011_4'], 'c_1001_7' : d['c_0110_6'], 'c_1001_6' : d['c_0101_10'], 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : d['c_0110_6'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0011_4'], 'c_1001_9' : negation(d['c_0101_11']), 'c_1001_8' : d['c_0110_6'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : negation(d['c_0101_10']), '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' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : negation(d['1']), 's_2_2' : negation(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' : negation(d['1']), 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_9' : d['c_0011_11'], 'c_1100_8' : negation(d['c_0101_9']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_11'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : negation(d['c_0101_0']), 'c_1100_1' : negation(d['c_0101_0']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : negation(d['c_0101_9']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : d['c_0101_10'], 's_3_10' : d['1'], 'c_1010_7' : d['c_0101_0'], 'c_1010_6' : d['c_0011_0'], 'c_1010_5' : d['c_0011_3'], 'c_1010_4' : negation(d['c_0101_11']), 'c_1010_3' : d['c_0110_6'], 'c_1010_2' : d['c_0110_6'], 'c_1010_1' : d['c_0101_10'], 'c_1010_0' : d['c_0011_4'], 'c_1010_9' : negation(d['c_0110_11']), 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(d['1']), 's_3_3' : negation(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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_11']), 'c_0011_8' : d['c_0011_4'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_3'], '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_0110_11'], 'c_0110_10' : d['c_0101_5'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_4'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], '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_0011_4'], 'c_0011_10' : negation(d['c_0011_0']), 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_11']), 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0011_4'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_9'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_0110_11, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 6 Groebner basis: [ t - 3057/1605632*c_0110_6^5 - 1089/200704*c_0110_6^4 + 115/32768*c_0110_6^3 - 13213/401408*c_0110_6^2 + 7449/401408*c_0110_6 - 2007/200704, c_0011_0 - 1, c_0011_11 - c_0110_6^2 - 1, c_0011_3 + 1/4*c_0110_6^5 + 3/4*c_0110_6^3 + c_0110_6^2 + c_0110_6 + 1, c_0011_4 - 1, c_0101_0 - 1, c_0101_1 + c_0110_6, c_0101_10 + 1/4*c_0110_6^4 + 3/4*c_0110_6^2 + c_0110_6 + 1, c_0101_11 - 1/4*c_0110_6^5 + 1/4*c_0110_6^4 - 5/4*c_0110_6^3 + 1/4*c_0110_6^2 - 2*c_0110_6 + 1, c_0101_5 + 1/4*c_0110_6^4 + 5/4*c_0110_6^2 + 1/2*c_0110_6 + 2, c_0101_9 + c_0110_6^2 - 1, c_0110_11 - 1/4*c_0110_6^5 - 1/4*c_0110_6^4 - 3/4*c_0110_6^3 - 5/4*c_0110_6^2 - 3/2*c_0110_6, c_0110_6^6 - c_0110_6^5 + 5*c_0110_6^4 - c_0110_6^3 + 8*c_0110_6^2 - 4*c_0110_6 + 8 ], 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_9, c_0110_11, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 2009310654564772/1511589054195239*c_0110_6^11 - 2669456840975666/1511589054195239*c_0110_6^10 + 6334007001320968/1511589054195239*c_0110_6^9 + 4092425977738607/1511589054195239*c_0110_6^8 - 17178727412450746/1511589054195239*c_0110_6^7 + 101543451877020969/1511589054195239*c_0110_6^6 + 126374468692286126/1511589054195239*c_0110_6^5 - 69891232490715271/1511589054195239*c_0110_6^4 - 46705549133874981/1511589054195239*c_0110_6^3 + 120321593269315791/1511589054195239*c_0110_6^2 + 1589634684422163/36868025712079*c_0110_6 - 62135644105708508/1511589054195239, c_0011_0 - 1, c_0011_11 - 734315267/1271311231451*c_0110_6^11 - 10626329026/1271311231451*c_0110_6^10 + 41226626775/1271311231451*c_0110_6^9 - 100603200260/1271311231451*c_0110_6^8 + 141841400898/1271311231451*c_0110_6^7 - 52085859847/1271311231451*c_0110_6^6 - 711639362471/1271311231451*c_0110_6^5 + 748499698096/1271311231451*c_0110_6^4 + 869921256362/1271311231451*c_0110_6^3 - 1190657252368/1271311231451*c_0110_6^2 - 749136790663/1271311231451*c_0110_6 + 854763773227/1271311231451, c_0011_3 + 47567935535/1271311231451*c_0110_6^11 - 48348815756/1271311231451*c_0110_6^10 + 149377750768/1271311231451*c_0110_6^9 + 112781601368/1271311231451*c_0110_6^8 - 239307175279/1271311231451*c_0110_6^7 + 2129047875334/1271311231451*c_0110_6^6 + 4000509143112/1271311231451*c_0110_6^5 - 118335375250/1271311231451*c_0110_6^4 - 688965493993/1271311231451*c_0110_6^3 + 4830360234276/1271311231451*c_0110_6^2 + 2991480955396/1271311231451*c_0110_6 + 87902951189/1271311231451, c_0011_4 - 734315267/1271311231451*c_0110_6^11 - 10626329026/1271311231451*c_0110_6^10 + 41226626775/1271311231451*c_0110_6^9 - 100603200260/1271311231451*c_0110_6^8 + 141841400898/1271311231451*c_0110_6^7 - 52085859847/1271311231451*c_0110_6^6 - 711639362471/1271311231451*c_0110_6^5 + 748499698096/1271311231451*c_0110_6^4 + 869921256362/1271311231451*c_0110_6^3 + 80653979083/1271311231451*c_0110_6^2 - 749136790663/1271311231451*c_0110_6 + 854763773227/1271311231451, c_0101_0 - 1, c_0101_1 + c_0110_6, c_0101_10 + 40807182078/1271311231451*c_0110_6^11 - 34046428621/1271311231451*c_0110_6^10 + 114879912556/1271311231451*c_0110_6^9 + 149377750768/1271311231451*c_0110_6^8 - 295290219412/1271311231451*c_0110_6^7 + 2045895021089/1271311231451*c_0110_6^6 + 3353263337674/1271311231451*c_0110_6^5 + 735934576872/1271311231451*c_0110_6^4 - 199949739406/1271311231451*c_0110_6^3 + 2738837800559/1271311231451*c_0110_6^2 + 4381481231418/1271311231451*c_0110_6 + 624664394872/1271311231451, c_0101_11 + 20950667477/1271311231451*c_0110_6^11 - 77810742207/1271311231451*c_0110_6^10 + 207635661326/1271311231451*c_0110_6^9 - 302848037276/1271311231451*c_0110_6^8 + 193046011252/1271311231451*c_0110_6^7 + 991567504493/1271311231451*c_0110_6^6 - 1188129944298/1271311231451*c_0110_6^5 - 154751244464/1271311231451*c_0110_6^4 + 1350708320536/1271311231451*c_0110_6^3 + 303454471152/1271311231451*c_0110_6^2 - 1627388251080/1271311231451*c_0110_6 + 969789524184/1271311231451, c_0101_5 + 33019562491/1271311231451*c_0110_6^11 - 10868237448/1271311231451*c_0110_6^10 + 68570095164/1271311231451*c_0110_6^9 + 161708405354/1271311231451*c_0110_6^8 - 139591247367/1271311231451*c_0110_6^7 + 1309565025264/1271311231451*c_0110_6^6 + 3982690802253/1271311231451*c_0110_6^5 + 1090523642227/1271311231451*c_0110_6^4 - 1190840347061/1271311231451*c_0110_6^3 + 3293465797022/1271311231451*c_0110_6^2 + 4452095127824/1271311231451*c_0110_6 + 1117688594556/1271311231451, c_0101_9 - 28934330794/1271311231451*c_0110_6^11 + 87926100410/1271311231451*c_0110_6^10 - 226617584884/1271311231451*c_0110_6^9 + 276642895177/1271311231451*c_0110_6^8 - 87358559050/1271311231451*c_0110_6^7 - 1479379066651/1271311231451*c_0110_6^6 + 716048668284/1271311231451*c_0110_6^5 + 420729352083/1271311231451*c_0110_6^4 - 813088056390/1271311231451*c_0110_6^3 + 317396845056/1271311231451*c_0110_6^2 + 1368305442080/1271311231451*c_0110_6 - 727044364451/1271311231451, c_0110_11 + 37020757076/1271311231451*c_0110_6^11 - 111483559353/1271311231451*c_0110_6^10 + 266958054678/1271311231451*c_0110_6^9 - 311177241813/1271311231451*c_0110_6^8 + 52826862106/1271311231451*c_0110_6^7 + 1813182785435/1271311231451*c_0110_6^6 - 564803367582/1271311231451*c_0110_6^5 - 1780491248273/1271311231451*c_0110_6^4 + 362765607838/1271311231451*c_0110_6^3 + 2020177924691/1271311231451*c_0110_6^2 - 1269263812998/1271311231451*c_0110_6 - 142017331638/1271311231451, c_0110_6^12 - 2*c_0110_6^11 + 4*c_0110_6^10 - 10*c_0110_6^8 + 56*c_0110_6^7 + 30*c_0110_6^6 - 80*c_0110_6^5 - 2*c_0110_6^4 + 84*c_0110_6^3 - 11*c_0110_6^2 - 58*c_0110_6 + 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.190 Total time: 0.400 seconds, Total memory usage: 32.09MB