Magma V2.19-8 Tue Aug 20 2013 17:56:58 on localhost [Seed = 2564369548] Type ? for help. Type -D to quit. Loading file "11_302__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_302 geometric_solution 10.81729253 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.109176484612 0.819755825545 0 4 6 5 0132 0132 0132 0132 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 1 -11 10 -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 0.100733183455 0.959516380896 7 0 0 8 0132 0132 1023 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 0 0 0 0 0.799191904136 1.977299300429 9 7 0 8 0132 1230 0132 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.100733183455 0.959516380896 7 1 10 10 1023 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.391219769496 0.465582506730 7 6 1 8 3120 0132 0132 2031 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 -10 10 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 0.667202784853 1.092039066681 10 5 11 1 0132 0132 0132 0132 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 -11 11 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 0.248501841565 0.538707930350 2 4 3 5 0132 1023 3012 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.239888510668 0.936113144645 11 5 2 3 1302 1302 0132 1023 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 -1 0 0 1 11 -10 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.341988776619 0.477913862803 3 11 11 10 0132 3012 3120 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.375137919033 0.557139537451 6 4 9 4 0132 0321 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 -0.057865426736 1.258943631088 9 8 9 6 1230 2031 3120 0132 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 -11 0 11 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 0.891568473596 0.794940295011 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : 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_1'], '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_1100_0']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : 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_10'], 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : negation(d['c_0011_10']), '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_0011_3']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], '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' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_1']})} 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_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t - 993595891363365/2803925781943*c_1100_0^7 + 14677453157379748/2803925781943*c_1100_0^6 - 64335179392815291/2803925781943*c_1100_0^5 - 178883675050350405/2803925781943*c_1100_0^4 + 104799067193458474/2803925781943*c_1100_0^3 + 327487204113112467/2803925781943*c_1100_0^2 + 93416997676481069/2803925781943*c_1100_0 - 3245738392741594/2803925781943, c_0011_0 - 1, c_0011_10 - 9327056/248200919*c_1100_0^7 + 158155184/248200919*c_1100_0^6 - 931634311/248200919*c_1100_0^5 + 73336123/248200919*c_1100_0^4 + 2297934827/248200919*c_1100_0^3 - 504612347/248200919*c_1100_0^2 - 775126164/248200919*c_1100_0 + 62468521/248200919, c_0011_11 + 35904581/248200919*c_1100_0^7 - 569313885/248200919*c_1100_0^6 + 2938677380/248200919*c_1100_0^5 + 3316872499/248200919*c_1100_0^4 - 7415583190/248200919*c_1100_0^3 - 5431619403/248200919*c_1100_0^2 + 2184037324/248200919*c_1100_0 + 941965770/248200919, c_0011_3 - 10550176/248200919*c_1100_0^7 + 153769815/248200919*c_1100_0^6 - 635858744/248200919*c_1100_0^5 - 2302855854/248200919*c_1100_0^4 + 2199968887/248200919*c_1100_0^3 + 4597199668/248200919*c_1100_0^2 - 1419227222/248200919*c_1100_0 - 650628228/248200919, c_0011_8 - 26177284/248200919*c_1100_0^7 + 414567975/248200919*c_1100_0^6 - 2135925520/248200919*c_1100_0^5 - 2436733832/248200919*c_1100_0^4 + 5240766018/248200919*c_1100_0^3 + 3958636527/248200919*c_1100_0^2 - 1204031537/248200919*c_1100_0 - 712842773/248200919, c_0101_0 + 27699721/248200919*c_1100_0^7 - 434082736/248200919*c_1100_0^6 + 2182364037/248200919*c_1100_0^5 + 3035200143/248200919*c_1100_0^4 - 5571781967/248200919*c_1100_0^3 - 5276100188/248200919*c_1100_0^2 + 1510299419/248200919*c_1100_0 + 807318221/248200919, c_0101_1 + 24954164/248200919*c_1100_0^7 - 418953344/248200919*c_1100_0^6 + 2431701087/248200919*c_1100_0^5 + 60541855/248200919*c_1100_0^4 - 5338731958/248200919*c_1100_0^3 + 1143175488/248200919*c_1100_0^2 + 559930479/248200919*c_1100_0 - 253976/248200919, c_0101_11 + 26177284/248200919*c_1100_0^7 - 414567975/248200919*c_1100_0^6 + 2135925520/248200919*c_1100_0^5 + 2436733832/248200919*c_1100_0^4 - 5240766018/248200919*c_1100_0^3 - 3958636527/248200919*c_1100_0^2 + 1452232456/248200919*c_1100_0 + 712842773/248200919, c_0101_2 - 23831968/248200919*c_1100_0^7 + 396029309/248200919*c_1100_0^6 - 2256380119/248200919*c_1100_0^5 - 415550334/248200919*c_1100_0^4 + 4884598354/248200919*c_1100_0^3 - 483043926/248200919*c_1100_0^2 - 458542220/248200919*c_1100_0 + 51338825/248200919, c_0101_9 + 35904581/248200919*c_1100_0^7 - 569313885/248200919*c_1100_0^6 + 2938677380/248200919*c_1100_0^5 + 3316872499/248200919*c_1100_0^4 - 7415583190/248200919*c_1100_0^3 - 5431619403/248200919*c_1100_0^2 + 2184037324/248200919*c_1100_0 + 941965770/248200919, c_1001_1 - 6427900/248200919*c_1100_0^7 + 103501164/248200919*c_1100_0^6 - 549404314/248200919*c_1100_0^5 - 492466925/248200919*c_1100_0^4 + 1626577435/248200919*c_1100_0^3 + 712255681/248200919*c_1100_0^2 - 764227577/248200919*c_1100_0 - 87236873/248200919, c_1100_0^8 - 15*c_1100_0^7 + 68*c_1100_0^6 + 167*c_1100_0^5 - 154*c_1100_0^4 - 327*c_1100_0^3 - 8*c_1100_0^2 + 64*c_1100_0 + 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.310 Total time: 1.510 seconds, Total memory usage: 64.12MB