Magma V2.19-8 Wed Aug 21 2013 00:52:24 on localhost [Seed = 1460749045] Type ? for help. Type -D to quit. Loading file "L12a1637__sl2_c5.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a1637 geometric_solution 12.07467650 oriented_manifold CS_known 0.0000000000000006 3 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 2 2 2 0 0 1 -1 0 0 0 0 0 1 0 -1 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 -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 -0.054001130328 0.731420646053 0 5 6 5 0132 0132 0132 0213 1 2 2 2 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 1 -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 0.723458837761 1.059470213979 7 0 5 4 0132 0132 0321 0321 1 2 2 2 0 0 0 0 0 0 -1 1 -1 1 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 -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 0.723458837761 1.059470213979 4 8 9 0 0321 0132 0132 0132 1 2 2 2 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 -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 0.162338260104 1.132746733509 3 2 0 9 0321 0321 0132 0132 1 2 2 2 0 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 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 0.186162634844 1.284181415165 7 1 2 1 2310 0132 0321 0213 1 2 2 2 0 0 0 0 1 0 -1 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 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 0.723458837761 1.059470213979 9 10 11 1 0213 0132 0132 0132 1 2 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 0 0 0 0 0 0 0 0 0 0 1 0 -1 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 0.611446275030 0.567045044514 2 7 5 7 0132 2310 3201 3201 2 2 2 2 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.523167474509 0.609949111684 10 3 12 11 0132 0132 0132 0321 1 0 2 2 0 -1 0 1 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 -1 0 2 -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 0.222892550061 1.134090089028 6 12 4 3 0213 0132 0132 0132 1 2 2 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 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 -0.193763059252 0.897576827783 8 6 11 12 0132 0132 0321 0132 1 0 2 2 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 0 1 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 0.222892550061 1.134090089028 12 8 10 6 0321 0321 0321 0132 1 2 2 0 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 0 0 0 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 0.560367812970 0.407707534161 11 9 10 8 0321 0132 0132 0132 1 0 2 2 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 1 -1 0 1 0 1 -2 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.166855546554 0.848970598590 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_1'], 'c_1001_12' : d['c_1001_12'], 'c_1001_5' : d['c_1001_2'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0101_2'], 'c_1001_6' : d['c_1001_12'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_1001_0'], 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_1001_12'], 'c_1010_10' : d['c_1001_12'], 's_3_11' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : negation(d['1']), 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : negation(d['c_0011_11']), 's_2_0' : negation(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' : d['1'], 's_2_6' : d['1'], 's_2_7' : d['1'], 's_2_12' : negation(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' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_0011_11' : d['c_0011_11'], 'c_1100_8' : d['c_1001_11'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1001_2'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0011_0']), 'c_1100_6' : d['c_1001_1'], 'c_1100_1' : d['c_1001_1'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1001_2'], 's_0_10' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : d['c_1001_11'], 's_3_10' : negation(d['1']), 'c_1010_7' : negation(d['c_0101_2']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_1001_1'], '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_2'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_12'], 'c_1010_8' : d['c_1001_12'], 's_3_1' : d['1'], 's_3_0' : 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' : negation(d['1']), 's_3_6' : negation(d['1']), 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : d['c_1001_11'], 's_1_7' : negation(d['1']), 's_1_6' : negation(d['1']), 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_12']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], '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_10'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_12']), 'c_0110_10' : negation(d['c_0011_11']), 'c_0110_12' : negation(d['c_0011_11']), 'c_0101_12' : negation(d['c_0011_11']), 'c_0101_7' : negation(d['c_0011_4']), 'c_0101_6' : negation(d['c_0011_12']), 'c_0101_5' : negation(d['c_0101_2']), 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_1']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_4']), 'c_0101_9' : negation(d['c_0011_10']), 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0101_1']), 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : negation(d['c_0011_4']), 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_4']), 'c_0110_2' : negation(d['c_0011_4']), 'c_0110_5' : d['c_0011_4'], '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 14 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_4, c_0101_1, c_0101_2, c_1001_0, c_1001_1, c_1001_11, c_1001_12, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t + 349164886805135/1033537187366336*c_1100_0^10 + 1686076179088463/1033537187366336*c_1100_0^9 + 2101338488328467/1033537187366336*c_1100_0^8 + 283714180769815/516768593683168*c_1100_0^7 + 3629254126182169/516768593683168*c_1100_0^6 + 21212043216388299/1033537187366336*c_1100_0^5 + 14105569307134471/1033537187366336*c_1100_0^4 - 1010921859949651/129192148420792*c_1100_0^3 - 9286904617522469/1033537187366336*c_1100_0^2 - 2160671989457423/1033537187366336*c_1100_0 - 2251056530719055/1033537187366336, c_0011_0 - 1, c_0011_10 + 184719335/218908046*c_1100_0^10 + 926519793/218908046*c_1100_0^9 + 173366649/31272578*c_1100_0^8 + 144071834/109454023*c_1100_0^7 + 1856933731/109454023*c_1100_0^6 + 11715109355/218908046*c_1100_0^5 + 8269597839/218908046*c_1100_0^4 - 2617683426/109454023*c_1100_0^3 - 1018264495/31272578*c_1100_0^2 - 334209107/31272578*c_1100_0 - 1409005893/218908046, c_0011_11 + 1, c_0011_12 + 1291334865/437816092*c_1100_0^10 + 6599601787/437816092*c_1100_0^9 + 1295745479/62545156*c_1100_0^8 + 554246454/109454023*c_1100_0^7 + 6300928371/109454023*c_1100_0^6 + 85094858031/437816092*c_1100_0^5 + 63671334017/437816092*c_1100_0^4 - 20069858049/218908046*c_1100_0^3 - 8239481907/62545156*c_1100_0^2 - 2138289591/62545156*c_1100_0 - 8636013879/437816092, c_0011_4 - 742731575/437816092*c_1100_0^10 - 3737851045/437816092*c_1100_0^9 - 724228829/62545156*c_1100_0^8 - 328208525/109454023*c_1100_0^7 - 3630983591/109454023*c_1100_0^6 - 47941113541/437816092*c_1100_0^5 - 35504736347/437816092*c_1100_0^4 + 10942910381/218908046*c_1100_0^3 + 4487958829/62545156*c_1100_0^2 + 1260830689/62545156*c_1100_0 + 5507915305/437816092, c_0101_1 + 220483895/437816092*c_1100_0^10 + 1125997581/437816092*c_1100_0^9 + 222105329/62545156*c_1100_0^8 + 78003869/109454023*c_1100_0^7 + 1050573121/109454023*c_1100_0^6 + 14731706165/437816092*c_1100_0^5 + 227198613/9315236*c_1100_0^4 - 3904527791/218908046*c_1100_0^3 - 1386752869/62545156*c_1100_0^2 - 194376901/62545156*c_1100_0 - 1585693945/437816092, c_0101_2 + 906773705/437816092*c_1100_0^10 + 4391748219/437816092*c_1100_0^9 + 782998679/62545156*c_1100_0^8 + 6350095/2328809*c_1100_0^7 + 4477515515/109454023*c_1100_0^6 + 54634563003/437816092*c_1100_0^5 + 36227983389/437816092*c_1100_0^4 - 13486103019/218908046*c_1100_0^3 - 4867886987/62545156*c_1100_0^2 - 1349688423/62545156*c_1100_0 - 5297345743/437816092, c_1001_0 - 1, c_1001_1 - 1, c_1001_11 + 107757365/31272578*c_1100_0^10 + 538944587/31272578*c_1100_0^9 + 718661233/31272578*c_1100_0^8 + 89710374/15636289*c_1100_0^7 + 1058407592/15636289*c_1100_0^6 + 6876532327/31272578*c_1100_0^5 + 4980565483/31272578*c_1100_0^4 - 1600121075/15636289*c_1100_0^3 - 4398391595/31272578*c_1100_0^2 - 1192124977/31272578*c_1100_0 - 763132861/31272578, c_1001_12 + 115393745/31272578*c_1100_0^10 + 573658951/31272578*c_1100_0^9 + 752378205/31272578*c_1100_0^8 + 85190766/15636289*c_1100_0^7 + 1129567444/15636289*c_1100_0^6 + 7285714011/31272578*c_1100_0^5 + 5122861213/31272578*c_1100_0^4 - 1791325509/15636289*c_1100_0^3 - 4661518513/31272578*c_1100_0^2 - 1134357593/31272578*c_1100_0 - 732827187/31272578, c_1001_2 - 40259200/15636289*c_1100_0^10 - 197062350/15636289*c_1100_0^9 - 251276002/15636289*c_1100_0^8 - 53779762/15636289*c_1100_0^7 - 789726948/15636289*c_1100_0^6 - 2477366756/15636289*c_1100_0^5 - 1675225650/15636289*c_1100_0^4 + 1242187915/15636289*c_1100_0^3 + 1563659964/15636289*c_1100_0^2 + 401652620/15636289*c_1100_0 + 245822846/15636289, c_1100_0^11 + 34/5*c_1100_0^10 + 78/5*c_1100_0^9 + 67/5*c_1100_0^8 + 112/5*c_1100_0^7 + 99*c_1100_0^6 + 798/5*c_1100_0^5 + 253/5*c_1100_0^4 - 479/5*c_1100_0^3 - 84*c_1100_0^2 - 26*c_1100_0 - 61/5 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.050 Total time: 0.260 seconds, Total memory usage: 32.09MB