Magma V2.19-8 Wed Aug 21 2013 01:03:21 on localhost [Seed = 2951329696] Type ? for help. Type -D to quit. Loading file "L14n19904__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n19904 geometric_solution 12.79158199 oriented_manifold CS_known 0.0000000000000003 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 1 2 3 0132 3201 0132 0132 1 1 1 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 -13 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.020010228317 0.855292031778 0 4 0 5 0132 0132 2310 0132 1 1 1 1 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 -1 0 -13 14 13 0 0 -13 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.027339183526 1.168551675406 5 6 7 0 0213 0132 0132 0132 1 1 1 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 0 0 0 0 0 -1 1 0 0 0 0 13 -14 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.425914255749 1.016215080650 6 4 0 8 2310 1302 0132 0132 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 0 0 0 0 0 0 0 0 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 0.425914255749 1.016215080650 6 1 9 3 3012 0132 0132 2031 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 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 0.421419237272 0.745973207802 2 10 1 6 0213 0132 0132 1230 1 1 1 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 0 0 0 0 0 -14 14 0 0 0 0 -13 0 13 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.421419237272 0.745973207802 5 2 3 4 3012 0132 3201 1230 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 0 0 0 0 0 -1 1 -14 14 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.979989771683 0.855292031778 8 11 8 2 1230 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1 1 0 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382291623518 0.903661168377 12 7 3 7 0132 3012 0132 0132 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 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.382291623518 0.903661168377 11 10 11 4 2031 0321 3201 0132 1 1 1 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 2 -1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.602917198020 0.938624564873 12 5 12 9 1023 0132 2031 0321 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 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 0.602917198020 0.938624564873 9 7 9 12 2310 0132 1302 3012 1 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 0 0 0 0 0 0 0 0 0 0 0 1 0 -2 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 0.602917198020 0.938624564873 8 10 11 10 0132 1023 1230 1302 0 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 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 0.602917198020 0.938624564873 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_4'], 'c_1001_10' : d['c_0101_6'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : negation(d['c_0101_1']), 'c_1001_1' : d['c_0011_3'], 'c_1001_0' : negation(d['c_0101_1']), 'c_1001_3' : negation(d['c_0011_3']), 'c_1001_2' : d['c_0101_4'], 'c_1001_9' : d['c_0011_9'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : negation(d['c_0011_9']), 'c_1010_11' : negation(d['c_0101_12']), 'c_1010_10' : d['c_1001_4'], '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'], 's_2_9' : d['1'], 'c_0101_11' : negation(d['c_0011_9']), 'c_0101_10' : d['c_0101_10'], '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_12' : 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' : d['c_1100_0'], 'c_0011_12' : d['c_0011_10'], 'c_1100_5' : d['c_0011_0'], 'c_1100_4' : negation(d['c_0011_11']), 'c_1100_7' : d['c_1100_0'], 'c_1100_6' : negation(d['c_0011_3']), 'c_1100_1' : d['c_0011_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_1100_0'], 's_0_10' : d['1'], 'c_1100_9' : negation(d['c_0011_11']), 'c_1100_11' : negation(d['c_0101_10']), 'c_1100_10' : d['c_0011_9'], 's_0_11' : d['1'], 'c_1010_7' : d['c_0101_4'], 'c_1010_6' : d['c_0101_4'], 'c_1010_5' : d['c_0101_6'], 'c_1010_4' : d['c_0011_3'], 'c_1010_3' : d['c_0011_11'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_3']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : negation(d['c_0101_12']), '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'], 'c_1100_12' : d['c_0101_10'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_11']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : negation(d['c_0011_9']), 'c_0110_12' : negation(d['c_0101_6']), 'c_0101_12' : d['c_0101_12'], 'c_0101_7' : d['c_0101_12'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_2'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_2'], 'c_0101_9' : negation(d['c_0101_10']), 'c_0101_8' : negation(d['c_0101_6']), '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_0101_4'], 'c_0110_8' : d['c_0101_12'], 'c_0110_1' : d['c_0011_2'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0101_6']), 'c_0110_2' : d['c_0011_2'], 'c_0110_5' : negation(d['c_0011_2']), 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0011_0']})} 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_2, c_0011_3, c_0011_9, c_0101_1, c_0101_10, c_0101_12, c_0101_4, c_0101_6, c_1001_4, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t + 645816167873879591/31241154449702912*c_1100_0^11 + 156448055873486093/7810288612425728*c_1100_0^10 - 382827460155246395/1420052474986496*c_1100_0^9 - 2678496410992489709/7810288612425728*c_1100_0^8 + 128342980013439131153/31241154449702912*c_1100_0^7 - 6138303803379637181/3905144306212864*c_1100_0^6 - 22468769854244600163/1201582863450112*c_1100_0^5 + 28705416450804233583/976286076553216*c_1100_0^4 + 137676426475519859431/31241154449702912*c_1100_0^3 - 339890317306292651471/7810288612425728*c_1100_0^2 + 4943141069916266519/150197857931264*c_1100_0 - 2709106886265934799/488143038276608, c_0011_0 - 1, c_0011_10 - 21595574703/1444210172416*c_1100_0^11 - 4710667221/361052543104*c_1100_0^10 + 12849590435/65645916928*c_1100_0^9 + 81517897317/361052543104*c_1100_0^8 - 4326441850569/1444210172416*c_1100_0^7 + 263333372301/180526271552*c_1100_0^6 + 9675384100495/722105086208*c_1100_0^5 - 1032116921115/45131567888*c_1100_0^4 - 1685837967983/1444210172416*c_1100_0^3 + 11744766531111/361052543104*c_1100_0^2 - 2397847216371/90263135776*c_1100_0 + 124784590279/22565783944, c_0011_11 - 21595574703/1444210172416*c_1100_0^11 - 4710667221/361052543104*c_1100_0^10 + 12849590435/65645916928*c_1100_0^9 + 81517897317/361052543104*c_1100_0^8 - 4326441850569/1444210172416*c_1100_0^7 + 263333372301/180526271552*c_1100_0^6 + 9675384100495/722105086208*c_1100_0^5 - 1032116921115/45131567888*c_1100_0^4 - 1685837967983/1444210172416*c_1100_0^3 + 11744766531111/361052543104*c_1100_0^2 - 2397847216371/90263135776*c_1100_0 + 124784590279/22565783944, c_0011_2 + 366035/25027904*c_1100_0^11 + 932977/50055808*c_1100_0^10 - 207953/1137632*c_1100_0^9 - 7369083/25027904*c_1100_0^8 + 69925947/25027904*c_1100_0^7 - 15523745/50055808*c_1100_0^6 - 5067004/391061*c_1100_0^5 + 423127711/25027904*c_1100_0^4 + 170790503/25027904*c_1100_0^3 - 1345400975/50055808*c_1100_0^2 + 98202915/6256976*c_1100_0 - 4651073/3128488, c_0011_3 + 366035/25027904*c_1100_0^11 + 932977/50055808*c_1100_0^10 - 207953/1137632*c_1100_0^9 - 7369083/25027904*c_1100_0^8 + 69925947/25027904*c_1100_0^7 - 15523745/50055808*c_1100_0^6 - 5067004/391061*c_1100_0^5 + 423127711/25027904*c_1100_0^4 + 170790503/25027904*c_1100_0^3 - 1345400975/50055808*c_1100_0^2 + 98202915/6256976*c_1100_0 - 4651073/3128488, c_0011_9 - 1, c_0101_1 + 1, c_0101_10 + 215421834407/5776840689664*c_1100_0^11 + 53635586055/1444210172416*c_1100_0^10 - 127293423003/262583667712*c_1100_0^9 - 914682333817/1444210172416*c_1100_0^8 + 42622871073137/5776840689664*c_1100_0^7 - 951093826721/361052543104*c_1100_0^6 - 97051221759319/2888420344832*c_1100_0^5 + 18730869559049/361052543104*c_1100_0^4 + 46774279740071/5776840689664*c_1100_0^3 - 110749483505813/1444210172416*c_1100_0^2 + 21197816676335/361052543104*c_1100_0 - 1038905544641/90263135776, c_0101_12 + 1826545121/1444210172416*c_1100_0^11 - 129693713/90263135776*c_1100_0^10 - 1516280125/65645916928*c_1100_0^9 + 2499601847/361052543104*c_1100_0^8 + 499375700567/1444210172416*c_1100_0^7 - 184700633039/361052543104*c_1100_0^6 - 1203498472425/722105086208*c_1100_0^5 + 699562575931/180526271552*c_1100_0^4 + 178772776129/1444210172416*c_1100_0^3 - 252090125533/45131567888*c_1100_0^2 + 355050642563/90263135776*c_1100_0 - 405680365/11282891972, c_0101_4 - 515281923/9891850496*c_1100_0^11 - 124495313/2472962624*c_1100_0^10 + 305713415/449629568*c_1100_0^9 + 2139173665/2472962624*c_1100_0^8 - 102433763349/9891850496*c_1100_0^7 + 4894542281/1236481312*c_1100_0^6 + 233148708611/4945925248*c_1100_0^5 - 22840099371/309120328*c_1100_0^4 - 108774098755/9891850496*c_1100_0^3 + 268714276923/2472962624*c_1100_0^2 - 50621596131/618240656*c_1100_0 + 2330180991/154560164, c_0101_6 - 515281923/9891850496*c_1100_0^11 - 124495313/2472962624*c_1100_0^10 + 305713415/449629568*c_1100_0^9 + 2139173665/2472962624*c_1100_0^8 - 102433763349/9891850496*c_1100_0^7 + 4894542281/1236481312*c_1100_0^6 + 233148708611/4945925248*c_1100_0^5 - 22840099371/309120328*c_1100_0^4 - 108774098755/9891850496*c_1100_0^3 + 268714276923/2472962624*c_1100_0^2 - 50621596131/618240656*c_1100_0 + 2330180991/154560164, c_1001_4 - c_1100_0, c_1100_0^12 - 14*c_1100_0^10 - 4*c_1100_0^9 + 215*c_1100_0^8 - 268*c_1100_0^7 - 834*c_1100_0^6 + 2296*c_1100_0^5 - 1151*c_1100_0^4 - 2320*c_1100_0^3 + 3616*c_1100_0^2 - 1792*c_1100_0 + 256 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.230 Total time: 0.450 seconds, Total memory usage: 32.09MB