Magma V2.19-8 Tue Aug 20 2013 23:26:31 on localhost [Seed = 2631597502] Type ? for help. Type -D to quit. Loading file "K12a803__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K12a803 geometric_solution 3.57388254 oriented_manifold CS_known -0.0000000000000003 1 0 torus 0.000000000000 0.000000000000 7 1 2 2 1 0132 0132 0321 2031 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 1 0 -1 0 0 0 0 0 1 0 -1 4 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002321718105 0.523065769959 0 0 2 3 0132 1302 1230 0132 0 0 0 0 0 0 -1 1 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 -3 3 0 0 4 -4 -4 1 0 3 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.215862027334 0.409205672209 3 0 0 1 0321 0132 0321 3012 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 -1 0 1 -3 0 0 3 0 4 0 -4 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.002321718105 0.523065769959 2 4 1 4 0321 0132 0132 1023 0 0 0 0 0 1 -1 0 0 0 1 -1 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 3 -3 0 -1 0 4 -3 0 0 0 0 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.906958431977 6.986823309863 5 3 5 3 0132 0132 1023 1023 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 0 0 0 0 0 0 0 0.377509899646 0.212155925332 4 6 4 6 0132 0132 1023 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.672435429482 0.040648999525 6 5 6 5 2031 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.635232226825 0.014309536653 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(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_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : negation(d['1']), 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : 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_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : negation(d['1']), 's_0_0' : negation(d['1']), 's_0_1' : negation(d['1']), 'c_1100_6' : d['c_0011_3'], 'c_1100_5' : negation(d['c_0011_3']), 'c_1100_4' : d['c_0011_3'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_3']), 'c_1100_2' : negation(d['c_0101_1']), 'c_0101_6' : d['c_0011_3'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0101_0']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0011_5' : d['c_0011_3'], 'c_0011_4' : negation(d['c_0011_3']), 'c_0011_6' : negation(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_1001_5' : d['c_0101_4'], 'c_1001_4' : d['c_0101_5'], 'c_1001_6' : d['c_0110_6'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_0']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_0'], 'c_0110_2' : negation(d['c_0011_3']), 'c_0110_5' : d['c_0101_4'], 'c_0110_4' : d['c_0101_5'], 'c_0110_6' : d['c_0110_6'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : negation(d['c_0011_0'])})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0101_0, c_0101_1, c_0101_4, c_0101_5, c_0110_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 1836320026957/172343614464*c_0110_6^9 + 1177773598195/24620516352*c_0110_6^8 + 1664546023807/19149290496*c_0110_6^7 - 8933744318839/28723935744*c_0110_6^6 + 14908846534051/57447871488*c_0110_6^5 + 53340672991117/172343614464*c_0110_6^4 + 13166020332671/86171807232*c_0110_6^3 - 24124543811617/172343614464*c_0110_6^2 + 516318017889/2127698944*c_0110_6 - 8342511842731/172343614464, c_0011_0 - 1, c_0011_3 - 14133/9498656*c_0110_6^9 + 302209/9498656*c_0110_6^8 + 1471969/9498656*c_0110_6^7 + 710277/2374664*c_0110_6^6 - 13125127/9498656*c_0110_6^5 + 6546487/9498656*c_0110_6^4 + 4274357/2374664*c_0110_6^3 + 7389307/9498656*c_0110_6^2 - 17005169/9498656*c_0110_6 + 3135361/9498656, c_0101_0 - 1496497/9498656*c_0110_6^9 - 6725435/9498656*c_0110_6^8 - 12048435/9498656*c_0110_6^7 + 11181059/2374664*c_0110_6^6 - 33607251/9498656*c_0110_6^5 - 47015877/9498656*c_0110_6^4 - 5754645/2374664*c_0110_6^3 + 34624711/9498656*c_0110_6^2 - 23995165/9498656*c_0110_6 + 17199813/9498656, c_0101_1 + 1158603/4749328*c_0110_6^9 + 5056207/4749328*c_0110_6^8 + 8609661/4749328*c_0110_6^7 - 17917695/2374664*c_0110_6^6 + 31089939/4749328*c_0110_6^5 + 36258071/4749328*c_0110_6^4 + 4289845/2374664*c_0110_6^3 - 22812339/4749328*c_0110_6^2 + 25050363/4749328*c_0110_6 - 5678533/4749328, c_0101_4 - 43379/2374664*c_0110_6^9 - 46895/296833*c_0110_6^8 - 1182571/2374664*c_0110_6^7 - 229207/2374664*c_0110_6^6 + 2167289/1187332*c_0110_6^5 - 4555939/2374664*c_0110_6^4 - 8055067/2374664*c_0110_6^3 - 496339/593666*c_0110_6^2 + 1975959/2374664*c_0110_6 - 790517/1187332, c_0101_5 - 108393/2374664*c_0110_6^9 - 332673/1187332*c_0110_6^8 - 1717329/2374664*c_0110_6^7 + 1597349/2374664*c_0110_6^6 + 305347/296833*c_0110_6^5 - 6448973/2374664*c_0110_6^4 - 8408231/2374664*c_0110_6^3 - 86713/1187332*c_0110_6^2 + 1835117/2374664*c_0110_6 - 278385/296833, c_0110_6^10 + 4*c_0110_6^9 + 6*c_0110_6^8 - 33*c_0110_6^7 + 39*c_0110_6^6 + 16*c_0110_6^5 + c_0110_6^4 - 19*c_0110_6^3 + 30*c_0110_6^2 - 16*c_0110_6 + 3 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.230 seconds, Total memory usage: 32.09MB