Magma V2.19-8 Wed Aug 21 2013 00:51:28 on localhost [Seed = 610414935] Type ? for help. Type -D to quit. Loading file "L11a75__sl2_c3.magma" ==TRIANGULATION=BEGINS== % Triangulation L11a75 geometric_solution 11.74011858 oriented_manifold CS_known 0.0000000000000000 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 1 0 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 1 0 -1 0 -6 7 1 -2 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.171160069312 0.464587947179 0 5 5 6 0132 0132 0321 0132 1 1 1 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 1 0 -1 1 0 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 0.618238633404 1.253553689936 7 0 8 4 0132 0132 0132 0321 1 0 1 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 1 -1 0 0 0 1 -1 0 0 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.595699153553 0.850005434083 6 9 6 0 0321 0132 0213 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 0 1 -1 0 0 -6 6 6 -6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.995120557105 1.047774816530 10 2 0 9 0132 0321 0132 0132 1 1 1 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.474376216307 1.571522080561 10 1 1 11 3201 0132 0321 0132 1 0 0 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 -1 0 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 0.618238633404 1.253553689936 3 3 1 9 0321 0213 0132 0213 1 1 1 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 -1 1 0 0 0 1 -1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.618238633404 1.253553689936 2 10 8 11 0132 3201 0213 2310 1 0 0 1 0 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 7 -7 0 0 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.146835178014 0.671073799734 10 7 12 2 1023 0213 0132 0132 1 0 0 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 6 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 0.423172674637 0.447111205026 12 3 4 6 1230 0132 0132 0213 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 7 0 -7 0 -1 0 0 1 -6 6 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.694591901170 0.966372501194 4 8 7 5 0132 1023 2310 2310 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 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 0.163294319894 0.731600838854 7 12 5 12 3201 3201 0132 3120 1 0 1 0 0 0 0 0 1 0 0 -1 -1 0 0 1 0 1 -1 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 7 0 0 -7 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795260989673 0.509668871208 11 9 11 8 3120 3012 2310 0132 1 0 1 1 0 -1 0 1 1 0 -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 6 0 -6 1 0 -1 0 7 -7 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.795260989673 0.509668871208 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_12']), 'c_1001_10' : d['c_0101_8'], 'c_1001_12' : d['c_0011_12'], 'c_1001_5' : d['c_1001_3'], 'c_1001_4' : d['c_0011_11'], 'c_1001_7' : negation(d['c_0101_10']), 'c_1001_6' : d['c_1001_3'], 'c_1001_1' : negation(d['c_0101_12']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : d['c_0011_11'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0101_10']), 'c_1010_12' : negation(d['c_0101_10']), 'c_1010_11' : negation(d['c_0011_12']), 'c_1010_10' : negation(d['c_0101_11']), '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'], 'c_0101_12' : d['c_0101_12'], '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' : negation(d['1']), 's_2_3' : d['1'], 's_2_4' : negation(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' : negation(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_1100_8' : d['c_0011_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0101_12']), 'c_1100_4' : d['c_1010_6'], 'c_1100_7' : d['c_0011_11'], 'c_1100_6' : d['c_1001_3'], 'c_1100_1' : d['c_1001_3'], 'c_1100_0' : d['c_1010_6'], 'c_1100_3' : d['c_1010_6'], 'c_1100_2' : d['c_0011_11'], 's_0_10' : negation(d['1']), 'c_1100_11' : negation(d['c_0101_12']), 'c_1100_10' : d['c_0011_0'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0101_8']), 'c_1010_6' : d['c_1010_6'], 'c_1010_5' : negation(d['c_0101_12']), 'c_1010_4' : d['c_1001_0'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_3'], 'c_1010_0' : d['c_0011_11'], 'c_1010_9' : d['c_1001_3'], 'c_1010_8' : d['c_0011_11'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 'c_1100_12' : d['c_0011_11'], 's_1_7' : negation(d['1']), 's_1_6' : d['1'], 's_1_5' : negation(d['1']), 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : negation(d['1']), 's_1_1' : negation(d['1']), 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : d['c_0011_12'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_8'], 'c_0110_10' : d['c_0101_1'], 'c_0110_12' : d['c_0101_8'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_10'], 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : negation(d['c_0101_1']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_6'], 'c_0101_2' : negation(d['c_0101_11']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_6']), 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], '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_0011_12'], 'c_0110_8' : negation(d['c_0101_11']), 'c_0110_1' : negation(d['c_0011_6']), 'c_1100_9' : d['c_1010_6'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_10'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_10'], 'c_0110_7' : negation(d['c_0101_11']), 'c_0110_6' : negation(d['c_0011_12']), '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_10, c_0011_11, c_0011_12, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_1001_0, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 8 Groebner basis: [ t + 76/11*c_1010_6^7 - 130/11*c_1010_6^6 + 314/11*c_1010_6^5 - 443/11*c_1010_6^4 + 441/11*c_1010_6^3 - 515/11*c_1010_6^2 + 415/11*c_1010_6 - 120/11, c_0011_0 - 1, c_0011_10 + 2*c_1010_6^7 - 1/2*c_1010_6^6 + 6*c_1010_6^5 - 2*c_1010_6^4 + 7/2*c_1010_6^3 - 9/2*c_1010_6^2 - 1/2*c_1010_6 + 5/2, c_0011_11 + c_1010_6^7 - c_1010_6^6 + 3*c_1010_6^5 - 3*c_1010_6^4 + 2*c_1010_6^3 - 3*c_1010_6^2 + c_1010_6 + 2, c_0011_12 + c_1010_6^7 - 1/2*c_1010_6^6 + 3*c_1010_6^5 - 2*c_1010_6^4 + 3/2*c_1010_6^3 - 7/2*c_1010_6^2 - 1/2*c_1010_6 + 5/2, c_0011_6 + 1, c_0101_1 + 5/2*c_1010_6^7 - c_1010_6^6 + 7*c_1010_6^5 - 7/2*c_1010_6^4 + 7/2*c_1010_6^3 - 13/2*c_1010_6^2 - 1/2*c_1010_6 + 4, c_0101_10 - 3/2*c_1010_6^7 + 1/2*c_1010_6^6 - 4*c_1010_6^5 + 3/2*c_1010_6^4 - 2*c_1010_6^3 + 4*c_1010_6^2 + c_1010_6 - 5/2, c_0101_11 - 1/2*c_1010_6^7 - 2*c_1010_6^5 + 1/2*c_1010_6^4 - 5/2*c_1010_6^3 + 5/2*c_1010_6^2 - 1/2*c_1010_6 + 2, c_0101_12 + c_1010_6^7 - c_1010_6^6 + 3*c_1010_6^5 - 3*c_1010_6^4 + 2*c_1010_6^3 - 3*c_1010_6^2 + c_1010_6 + 2, c_0101_8 + 1/2*c_1010_6^7 + c_1010_6^5 - 1/2*c_1010_6^4 - 1/2*c_1010_6^3 - 3/2*c_1010_6^2 - 3/2*c_1010_6 + 1, c_1001_0 + c_1010_6^7 - 1/2*c_1010_6^6 + 3*c_1010_6^5 - c_1010_6^4 + 3/2*c_1010_6^3 - 3/2*c_1010_6^2 - 3/2*c_1010_6 + 3/2, c_1001_3 - 3/2*c_1010_6^7 + 1/2*c_1010_6^6 - 4*c_1010_6^5 + 3/2*c_1010_6^4 - c_1010_6^3 + 3*c_1010_6^2 + c_1010_6 - 5/2, c_1010_6^8 - c_1010_6^7 + 3*c_1010_6^6 - 3*c_1010_6^5 + 2*c_1010_6^4 - 3*c_1010_6^3 + c_1010_6^2 + 2*c_1010_6 - 1 ], 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_12, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_12, c_0101_8, c_1001_0, c_1001_3, c_1010_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t + 41450448/459697*c_1010_6^8 + 185181776/4137273*c_1010_6^7 + 728152736/1379091*c_1010_6^6 + 164916806/4137273*c_1010_6^5 + 160330889/591039*c_1010_6^4 + 785529323/4137273*c_1010_6^3 - 303575149/197013*c_1010_6^2 + 435703141/4137273*c_1010_6 + 4371128996/4137273, c_0011_0 - 1, c_0011_10 + 216400/1510433*c_1010_6^8 + 27061/1510433*c_1010_6^7 + 2239217/3020866*c_1010_6^6 - 389142/1510433*c_1010_6^5 + 95475/1510433*c_1010_6^4 + 239653/3020866*c_1010_6^3 - 8457225/3020866*c_1010_6^2 + 614865/3020866*c_1010_6 + 7500027/3020866, c_0011_11 + 33740/1510433*c_1010_6^8 + 113244/1510433*c_1010_6^7 + 226005/1510433*c_1010_6^6 + 664949/1510433*c_1010_6^5 + 14188/1510433*c_1010_6^4 + 837625/1510433*c_1010_6^3 - 775518/1510433*c_1010_6^2 - 558962/1510433*c_1010_6 + 656366/1510433, c_0011_12 + 1562/197013*c_1010_6^8 + 860/65671*c_1010_6^7 + 22483/394026*c_1010_6^6 + 8093/197013*c_1010_6^5 - 22147/197013*c_1010_6^4 - 9131/131342*c_1010_6^3 - 441673/394026*c_1010_6^2 + 10195/394026*c_1010_6 + 72003/131342, c_0011_6 + 1, c_0101_1 + 549587/4531299*c_1010_6^8 + 81745/3020866*c_1010_6^7 + 3568781/4531299*c_1010_6^6 - 653698/4531299*c_1010_6^5 + 9164707/9062598*c_1010_6^4 - 345191/3020866*c_1010_6^3 - 8945167/9062598*c_1010_6^2 + 2636209/9062598*c_1010_6 + 1969020/1510433, c_0101_10 - 11443/65671*c_1010_6^8 - 2065/131342*c_1010_6^7 - 140785/131342*c_1010_6^6 + 12479/65671*c_1010_6^5 - 172287/131342*c_1010_6^4 - 22868/65671*c_1010_6^3 + 134608/65671*c_1010_6^2 + 12246/65671*c_1010_6 - 69455/131342, c_0101_11 + 25427365/104219877*c_1010_6^8 + 3765627/69479918*c_1010_6^7 + 152877544/104219877*c_1010_6^6 - 34592657/104219877*c_1010_6^5 + 231150659/208439754*c_1010_6^4 - 14483195/69479918*c_1010_6^3 - 829555217/208439754*c_1010_6^2 + 167718173/208439754*c_1010_6 + 68957564/34739959, c_0101_12 - 33740/1510433*c_1010_6^8 - 113244/1510433*c_1010_6^7 - 226005/1510433*c_1010_6^6 - 664949/1510433*c_1010_6^5 - 14188/1510433*c_1010_6^4 - 837625/1510433*c_1010_6^3 + 775518/1510433*c_1010_6^2 + 558962/1510433*c_1010_6 - 656366/1510433, c_0101_8 + 669685/4531299*c_1010_6^8 + 315735/3020866*c_1010_6^7 + 3765763/4531299*c_1010_6^6 + 692782/4531299*c_1010_6^5 + 1668959/9062598*c_1010_6^4 + 542729/3020866*c_1010_6^3 - 22645181/9062598*c_1010_6^2 - 5523205/9062598*c_1010_6 + 2660118/1510433, c_1001_0 - 3946/65671*c_1010_6^8 + 1050/65671*c_1010_6^7 - 40485/131342*c_1010_6^6 + 28493/65671*c_1010_6^5 - 3668/65671*c_1010_6^4 + 125539/131342*c_1010_6^3 + 103551/131342*c_1010_6^2 - 170719/131342*c_1010_6 - 64049/131342, c_1001_3 + 8477/197013*c_1010_6^8 - 3867/131342*c_1010_6^7 + 88087/394026*c_1010_6^6 - 57865/197013*c_1010_6^5 + 43153/394026*c_1010_6^4 + 1731/65671*c_1010_6^3 - 134651/197013*c_1010_6^2 + 163694/197013*c_1010_6 + 53115/131342, c_1010_6^9 - 1/2*c_1010_6^8 + 11/2*c_1010_6^7 - 11/2*c_1010_6^6 + 7/2*c_1010_6^5 - 2*c_1010_6^4 - 35/2*c_1010_6^3 + 33/2*c_1010_6^2 + 10*c_1010_6 - 21/2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.150 Total time: 0.360 seconds, Total memory usage: 32.09MB