Magma V2.19-8 Wed Aug 21 2013 01:00:29 on localhost [Seed = 3448493764] Type ? for help. Type -D to quit. Loading file "L13n9492__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation L13n9492 geometric_solution 12.37647064 oriented_manifold CS_known -0.0000000000000001 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 2 0 2 1 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 -1 0 0 0 0 0 -1 2 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.588862040170 0.797598882977 0 5 7 6 0132 0132 0132 0132 2 0 1 2 0 -1 0 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 -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 0.400906936340 0.811456548016 8 0 10 9 0132 0132 0132 0132 2 0 1 2 0 0 0 0 0 0 1 -1 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 -1 0 1 -1 0 1 0 1 -2 0 1 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.415667244407 0.503675351576 5 8 9 0 0132 0132 0132 0132 2 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 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 0 -1 0 1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.746227944422 0.918442527591 6 11 0 5 0132 0132 0132 0132 2 0 1 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 -2 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 0.400906936340 0.811456548016 3 1 4 10 0132 0132 0132 0132 2 0 2 1 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 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 0.588862040170 0.797598882977 4 12 1 8 0132 0132 0132 2103 2 0 2 1 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 -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 0.279504056333 1.011570842128 8 11 12 1 2103 0213 0132 0132 2 0 2 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 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 0.981851347455 0.846323123068 2 3 7 6 0132 0132 2103 2103 2 0 2 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 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.055991596283 1.453445237996 12 11 2 3 0132 1023 0132 0132 2 0 2 1 0 0 0 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 1 -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 0.588862040170 0.797598882977 12 11 5 2 2103 0321 0132 0132 2 0 2 2 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 0 1 -1 2 0 0 -2 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.212951832511 0.825314213054 9 4 7 10 1023 0132 0213 0321 2 2 2 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 2 -2 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 -0.293123424301 1.136026515493 9 6 10 7 0132 0132 2103 0132 2 0 1 2 0 0 -1 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 0 -2 2 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 0.400906936340 0.811456548016 ==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_0011_10'], 'c_1001_5' : d['c_1001_11'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_1001_11'], 'c_1001_6' : d['c_1001_11'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0011_7'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_7'], 'c_1001_8' : d['c_0011_7'], 'c_1010_12' : d['c_1001_11'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0011_7'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(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_12' : d['1'], 's_2_10' : d['1'], 's_2_11' : d['1'], 's_0_8' : negation(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' : negation(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_0101_1']), 'c_0011_12' : negation(d['c_0011_11']), 'c_1100_5' : d['c_1100_0'], 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_2']), 'c_1100_6' : negation(d['c_0101_2']), 'c_1100_1' : negation(d['c_0101_2']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_3_11' : d['1'], 'c_1100_9' : d['c_1100_0'], 'c_1100_11' : d['c_1001_1'], 'c_1100_10' : d['c_1100_0'], 's_0_11' : d['1'], 'c_1010_7' : d['c_1001_1'], 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_1001_1'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_0011_7'], 'c_1010_2' : d['c_0011_7'], 'c_1010_1' : d['c_1001_11'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_10']), 'c_1010_8' : negation(d['c_0011_10']), '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' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(d['c_0101_2']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : d['c_0011_11'], 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), 'c_0011_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_0']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_10']), 'c_0110_10' : d['c_0101_2'], 'c_0110_12' : d['c_0101_7'], 'c_0101_12' : d['c_0101_10'], 'c_0011_6' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_10'], '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_7'], 'c_0101_8' : d['c_0101_7'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_10'], 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : d['c_0101_0'], 'c_0110_7' : d['c_0101_1'], 'c_0011_10' : d['c_0011_10']})} 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_7, c_0101_0, c_0101_1, c_0101_10, c_0101_2, c_0101_7, c_1001_1, c_1001_11, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 26556076079/16448180*c_1100_0^6 + 15754100048/4112045*c_1100_0^5 + 11725902117/4112045*c_1100_0^4 - 12751210679/2349740*c_1100_0^3 - 7053872507/2349740*c_1100_0^2 + 1533260067/469948*c_1100_0 + 7538788672/4112045, c_0011_0 - 1, c_0011_10 + 47372/34555*c_1100_0^6 + 10489/6911*c_1100_0^5 - 22512/34555*c_1100_0^4 - 200911/34555*c_1100_0^3 + 25193/6911*c_1100_0^2 + 11688/6911*c_1100_0 - 24043/34555, c_0011_11 + 112658/34555*c_1100_0^6 + 167277/34555*c_1100_0^5 + 48019/34555*c_1100_0^4 - 405657/34555*c_1100_0^3 + 173304/34555*c_1100_0^2 + 18738/6911*c_1100_0 - 444/6911, c_0011_7 + 170482/34555*c_1100_0^6 + 296284/34555*c_1100_0^5 + 115883/34555*c_1100_0^4 - 627713/34555*c_1100_0^3 + 115726/34555*c_1100_0^2 + 249276/34555*c_1100_0 - 5661/34555, c_0101_0 - 1, c_0101_1 - 1, c_0101_10 + 103012/34555*c_1100_0^6 + 41941/6911*c_1100_0^5 + 111153/34555*c_1100_0^4 - 396681/34555*c_1100_0^3 - 16838/6911*c_1100_0^2 + 42500/6911*c_1100_0 + 51762/34555, c_0101_2 + 2041/34555*c_1100_0^6 - 29077/34555*c_1100_0^5 - 60711/34555*c_1100_0^4 - 46532/34555*c_1100_0^3 + 102972/34555*c_1100_0^2 + 2002/34555*c_1100_0 - 7884/6911, c_0101_7 + 37583/69110*c_1100_0^6 + 94049/69110*c_1100_0^5 + 22856/34555*c_1100_0^4 - 212181/69110*c_1100_0^3 - 90567/34555*c_1100_0^2 + 54308/34555*c_1100_0 + 13953/13822, c_1001_1 - 15964/6911*c_1100_0^6 - 26648/6911*c_1100_0^5 - 7897/6911*c_1100_0^4 + 63791/6911*c_1100_0^3 - 13948/6911*c_1100_0^2 - 34191/6911*c_1100_0 + 7283/6911, c_1001_11 - 77779/34555*c_1100_0^6 - 162317/34555*c_1100_0^5 - 100196/34555*c_1100_0^4 + 272423/34555*c_1100_0^3 + 33232/34555*c_1100_0^2 - 168953/34555*c_1100_0 - 601/6911, c_1001_2 - 170482/34555*c_1100_0^6 - 296284/34555*c_1100_0^5 - 115883/34555*c_1100_0^4 + 627713/34555*c_1100_0^3 - 115726/34555*c_1100_0^2 - 283831/34555*c_1100_0 + 5661/34555, c_1100_0^7 + 30/13*c_1100_0^6 + 21/13*c_1100_0^5 - 45/13*c_1100_0^4 - 21/13*c_1100_0^3 + 28/13*c_1100_0^2 + c_1100_0 - 1/13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.220 seconds, Total memory usage: 32.09MB