Magma V2.19-8 Tue Aug 20 2013 23:59:03 on localhost [Seed = 3431638444] Type ? for help. Type -D to quit. Loading file "K13n1307__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n1307 geometric_solution 12.09773012 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 1 0 -1 0 0 0 0 1 3 0 -4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749617430562 0.683991385323 0 5 7 6 0132 0132 0132 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.566983211284 0.412821666022 8 0 10 9 0132 0132 0132 0132 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 -1 0 1 0 0 0 0 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.932310518013 0.816002713654 7 11 10 0 2031 0132 0321 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790365947004 0.923007963101 8 5 0 11 3012 3201 0132 1023 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 1 -1 0 0 0 0 1 0 0 -1 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.203342473306 1.521535825334 9 1 4 12 0132 0132 2310 0132 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 4 -4 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.749617430562 0.683991385323 7 11 1 12 1023 2031 0132 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.660898600494 0.628766966010 8 6 3 1 1023 1023 1302 0132 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.660898600494 0.628766966010 2 7 12 4 0132 1023 2103 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.854658532446 0.594556705351 5 11 2 10 0132 0213 0132 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.932310518013 0.816002713654 12 9 3 2 3012 2310 0321 0132 0 0 0 0 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 0 0 0 0 3 0 0 -3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913707012095 0.645698217585 6 3 9 4 1302 0132 0213 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 -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 0.211525164489 0.548514971368 8 6 5 10 2103 1302 0132 1230 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 -1 0 4 -3 0 1 0 -1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.790365947004 0.923007963101 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_0'], 'c_1001_10' : d['c_1001_10'], 'c_1001_12' : d['c_0110_6'], 'c_1001_5' : negation(d['c_0110_11']), 'c_1001_4' : negation(d['c_0101_5']), 'c_1001_7' : d['c_0101_0'], 'c_1001_6' : negation(d['c_0110_11']), 'c_1001_1' : d['c_0110_6'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : negation(d['c_0011_10']), 'c_1001_2' : negation(d['c_0101_5']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : d['c_0011_11'], 'c_1010_12' : d['c_0101_10'], 'c_1010_11' : negation(d['c_0011_10']), 'c_1010_10' : negation(d['c_0101_5']), 's_0_10' : d['1'], 's_3_10' : negation(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_0']), 'c_0101_10' : d['c_0101_10'], 's_2_0' : negation(d['1']), 's_2_1' : d['1'], 's_2_2' : negation(d['1']), 's_2_3' : negation(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' : 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' : 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_1100_9' : negation(d['c_0011_10']), 'c_1100_8' : negation(d['c_0011_10']), 'c_0011_12' : d['c_0011_11'], 'c_1100_5' : d['c_0011_4'], 'c_1100_4' : d['c_1001_10'], 'c_1100_7' : negation(d['c_0101_10']), 'c_1100_6' : negation(d['c_0101_10']), 'c_1100_1' : negation(d['c_0101_10']), 'c_1100_0' : d['c_1001_10'], 'c_1100_3' : d['c_1001_10'], 'c_1100_2' : negation(d['c_0011_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_1001_10']), 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0110_6'], 'c_1010_6' : d['c_0011_11'], 'c_1010_5' : d['c_0110_6'], 'c_1010_4' : d['c_0110_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_0110_11']), 'c_1010_0' : negation(d['c_0101_5']), 'c_1010_9' : negation(d['c_1001_10']), 'c_1010_8' : d['c_0101_1'], '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' : d['c_0011_4'], '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' : negation(d['1']), 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : negation(d['c_0011_0']), 'c_0011_8' : d['c_0011_0'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_0'], 'c_0011_6' : d['c_0011_0'], 'c_0011_1' : negation(d['c_0011_0']), 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_11']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0110_11'], 'c_0110_10' : d['c_0011_4'], 'c_0110_12' : d['c_0011_10'], 'c_0101_12' : d['c_0101_12'], 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0011_11'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0101_10']), 'c_0101_2' : d['c_0011_4'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_12'], 'c_0101_8' : d['c_0101_12'], '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_5'], 'c_0110_8' : d['c_0011_4'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_12'], 'c_0110_5' : d['c_0101_12'], 'c_0110_4' : negation(d['c_0011_10']), 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0110_6']})} 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0110_11, c_0110_6, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 3/32*c_1001_0*c_1001_10 + 7/32*c_1001_0 - 1/32*c_1001_10 - 5/32, c_0011_0 - 1, c_0011_10 - c_1001_0*c_1001_10 + 2*c_1001_0 - 2*c_1001_10 + 2, c_0011_11 + 2*c_1001_10 - 4, c_0011_4 + c_1001_10, c_0101_0 + 1, c_0101_1 + c_1001_10 - 2, c_0101_10 + c_1001_10 - 2, c_0101_12 - c_1001_0, c_0101_5 - c_1001_0*c_1001_10 + 2*c_1001_0 - c_1001_10, c_0110_11 - c_1001_10 + 2, c_0110_6 + 1, c_1001_0^2 + 4*c_1001_0*c_1001_10 - c_1001_0 + 2*c_1001_10, c_1001_10^2 - 3*c_1001_10 + 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_4, c_0101_0, c_0101_1, c_0101_10, c_0101_12, c_0101_5, c_0110_11, c_0110_6, c_1001_0, c_1001_10 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 12322832203112/659035*c_1001_10^9 - 34731613868128/659035*c_1001_10^8 - 89210447911108/659035*c_1001_10^7 - 9184239670164/50695*c_1001_10^6 + 178702743335359/1318070*c_1001_10^5 + 291718384257361/659035*c_1001_10^4 + 11332659000271/1318070*c_1001_10^3 - 72847309398967/131807*c_1001_10^2 - 446886341835589/1318070*c_1001_10 + 15528933825294/659035, c_0011_0 - 1, c_0011_10 + 571120328/2196036427*c_1001_10^9 + 1176340928/2196036427*c_1001_10^8 + 3546505766/2196036427*c_1001_10^7 + 258326530/168925879*c_1001_10^6 - 5264179792/2196036427*c_1001_10^5 - 8731529315/2196036427*c_1001_10^4 + 1620343952/2196036427*c_1001_10^3 + 10956464814/2196036427*c_1001_10^2 + 5353135728/2196036427*c_1001_10 + 140310979/2196036427, c_0011_11 - 275568472/2196036427*c_1001_10^9 - 735417788/2196036427*c_1001_10^8 - 2037740790/2196036427*c_1001_10^7 - 208607727/168925879*c_1001_10^6 + 1298964332/2196036427*c_1001_10^5 + 5427113152/2196036427*c_1001_10^4 + 76772002/2196036427*c_1001_10^3 - 4162728636/2196036427*c_1001_10^2 - 3357579916/2196036427*c_1001_10 - 1258126177/2196036427, c_0011_4 + c_1001_10, c_0101_0 - 1090083084/2196036427*c_1001_10^9 - 2265517796/2196036427*c_1001_10^8 - 6558393229/2196036427*c_1001_10^7 - 499395180/168925879*c_1001_10^6 + 10653969990/2196036427*c_1001_10^5 + 15629861522/2196036427*c_1001_10^4 - 7742267747/2196036427*c_1001_10^3 - 21178732584/2196036427*c_1001_10^2 - 7973659790/2196036427*c_1001_10 - 568180863/2196036427, c_0101_1 + 190147948/2196036427*c_1001_10^9 + 7910824/2196036427*c_1001_10^8 + 462792609/2196036427*c_1001_10^7 - 71272685/168925879*c_1001_10^6 - 3519972154/2196036427*c_1001_10^5 + 1693664719/2196036427*c_1001_10^4 + 4537714202/2196036427*c_1001_10^3 - 1655488342/2196036427*c_1001_10^2 - 5094435504/2196036427*c_1001_10 - 221097990/2196036427, c_0101_10 + 418944776/2196036427*c_1001_10^9 + 568756876/2196036427*c_1001_10^8 + 2376380298/2196036427*c_1001_10^7 + 70366891/168925879*c_1001_10^6 - 3888214808/2196036427*c_1001_10^5 - 4081409755/2196036427*c_1001_10^4 + 766225000/2196036427*c_1001_10^3 + 5732427778/2196036427*c_1001_10^2 + 3292861414/2196036427*c_1001_10 + 263152621/2196036427, c_0101_12 + 366787204/2196036427*c_1001_10^9 + 481592816/2196036427*c_1001_10^8 + 1841761995/2196036427*c_1001_10^7 + 53109011/168925879*c_1001_10^6 - 4013825214/2196036427*c_1001_10^5 - 2248212647/2196036427*c_1001_10^4 + 5267804843/2196036427*c_1001_10^3 + 4998230734/2196036427*c_1001_10^2 - 1635786679/2196036427*c_1001_10 - 1645324901/2196036427, c_0101_5 - 571120328/2196036427*c_1001_10^9 - 1176340928/2196036427*c_1001_10^8 - 3546505766/2196036427*c_1001_10^7 - 258326530/168925879*c_1001_10^6 + 5264179792/2196036427*c_1001_10^5 + 8731529315/2196036427*c_1001_10^4 - 1620343952/2196036427*c_1001_10^3 - 10956464814/2196036427*c_1001_10^2 - 5353135728/2196036427*c_1001_10 - 140310979/2196036427, c_0110_11 - 190147948/2196036427*c_1001_10^9 - 7910824/2196036427*c_1001_10^8 - 462792609/2196036427*c_1001_10^7 + 71272685/168925879*c_1001_10^6 + 3519972154/2196036427*c_1001_10^5 - 1693664719/2196036427*c_1001_10^4 - 4537714202/2196036427*c_1001_10^3 + 1655488342/2196036427*c_1001_10^2 + 5094435504/2196036427*c_1001_10 + 221097990/2196036427, c_0110_6 - 1090083084/2196036427*c_1001_10^9 - 2265517796/2196036427*c_1001_10^8 - 6558393229/2196036427*c_1001_10^7 - 499395180/168925879*c_1001_10^6 + 10653969990/2196036427*c_1001_10^5 + 15629861522/2196036427*c_1001_10^4 - 7742267747/2196036427*c_1001_10^3 - 21178732584/2196036427*c_1001_10^2 - 7973659790/2196036427*c_1001_10 - 568180863/2196036427, c_1001_0 + 366787204/2196036427*c_1001_10^9 + 481592816/2196036427*c_1001_10^8 + 1841761995/2196036427*c_1001_10^7 + 53109011/168925879*c_1001_10^6 - 4013825214/2196036427*c_1001_10^5 - 2248212647/2196036427*c_1001_10^4 + 5267804843/2196036427*c_1001_10^3 + 4998230734/2196036427*c_1001_10^2 - 1635786679/2196036427*c_1001_10 - 1645324901/2196036427, c_1001_10^10 + 3*c_1001_10^9 + 31/4*c_1001_10^8 + 11*c_1001_10^7 - 11/2*c_1001_10^6 - 25*c_1001_10^5 - 19/4*c_1001_10^4 + 59/2*c_1001_10^3 + 47/2*c_1001_10^2 + 2*c_1001_10 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 3.220 Total time: 3.419 seconds, Total memory usage: 80.25MB