Magma V2.19-8 Tue Aug 20 2013 17:56:58 on localhost [Seed = 2530681474] Type ? for help. Type -D to quit. Loading file "11_302__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation 11_302 geometric_solution 10.81729253 oriented_manifold CS_known -0.0000000000000004 1 0 torus 0.000000000000 0.000000000000 12 1 2 2 3 0132 0132 1023 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 1 0 -1 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 0.109176484612 0.819755825545 0 4 6 5 0132 0132 0132 0132 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 1 -11 10 -1 0 1 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 0.100733183455 0.959516380896 7 0 0 8 0132 0132 1023 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 -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 0.799191904136 1.977299300429 9 7 0 8 0132 1230 0132 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 1 -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 0 0 0.100733183455 0.959516380896 7 1 10 10 1023 0132 0132 0321 0 0 0 0 0 0 0 0 0 0 0 0 0 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 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 0.391219769496 0.465582506730 7 6 1 8 3120 0132 0132 2031 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 -10 10 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 0.667202784853 1.092039066681 10 5 11 1 0132 0132 0132 0132 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 -11 11 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 0.248501841565 0.538707930350 2 4 3 5 0132 1023 3012 3120 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.239888510668 0.936113144645 11 5 2 3 1302 1302 0132 1023 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 -1 0 0 1 11 -10 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.341988776619 0.477913862803 3 11 11 10 0132 3012 3120 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 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 0.375137919033 0.557139537451 6 4 9 4 0132 0321 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 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 -0.057865426736 1.258943631088 9 8 9 6 1230 2031 3120 0132 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 -11 0 11 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 0.891568473596 0.794940295011 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0011_11'], 'c_1001_10' : negation(d['c_0101_11']), 'c_1001_5' : d['c_1001_1'], 'c_1001_4' : d['c_1001_1'], 'c_1001_7' : negation(d['c_0011_3']), 'c_1001_6' : d['c_0011_8'], 'c_1001_1' : d['c_1001_1'], 'c_1001_0' : d['c_0101_2'], 'c_1001_3' : d['c_0101_0'], 'c_1001_2' : d['c_0101_0'], 'c_1001_9' : negation(d['c_0011_11']), 'c_1001_8' : d['c_0101_2'], 'c_1010_11' : d['c_0011_8'], 'c_1010_10' : d['c_1001_1'], 's_0_10' : d['1'], 's_3_10' : negation(d['1']), 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : d['c_0101_1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : negation(d['1']), 's_2_5' : d['1'], 's_2_6' : d['1'], 's_2_7' : 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' : negation(d['c_1100_0']), 'c_1100_5' : negation(d['c_0101_9']), 'c_1100_4' : negation(d['c_0101_11']), 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : negation(d['c_0101_9']), 'c_1100_1' : negation(d['c_0101_9']), 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : negation(d['c_1100_0']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_9']), 'c_1100_10' : negation(d['c_0101_11']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_10']), 'c_1010_6' : d['c_1001_1'], 'c_1010_5' : d['c_0011_8'], 'c_1010_4' : d['c_1001_1'], 'c_1010_3' : negation(d['c_0011_11']), 'c_1010_2' : d['c_0101_2'], 'c_1010_1' : d['c_1001_1'], 'c_1010_0' : d['c_0101_0'], 'c_1010_9' : negation(d['c_0101_11']), 'c_1010_8' : d['c_0101_9'], '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' : negation(d['1']), 's_3_7' : d['1'], 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], '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' : negation(d['c_0011_3']), 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_0'], '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_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : negation(d['c_0011_3']), 'c_0110_10' : negation(d['c_0011_3']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : negation(d['c_0011_11']), 'c_0101_6' : negation(d['c_0011_3']), 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : negation(d['c_0011_3']), 'c_0101_3' : d['c_0101_1'], '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_9'], 'c_0101_8' : negation(d['c_0011_11']), 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_11']), 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : negation(d['c_0101_11']), 'c_0110_3' : d['c_0101_9'], 'c_0110_2' : negation(d['c_0011_11']), 'c_0110_5' : d['c_0101_2'], '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 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 25293954/5473*c_0101_9^3*c_1100_0^2 - 3332292291/76622*c_0101_9^3*c_1100_0 - 1006305351/76622*c_0101_9^3 - 179131833/76622*c_0101_9^2*c_1100_0^2 - 844896775/38311*c_0101_9^2*c_1100_0 - 546613807/76622*c_0101_9^2 - 7068331/21892*c_0101_9*c_1100_0^2 - 233767837/76622*c_0101_9*c_1100_0 - 158212489/153244*c_0101_9 + 7070095/153244*c_1100_0^2 + 18569205/38311*c_1100_0 + 90562253/153244, c_0011_0 - 1, c_0011_10 - 9/4*c_0101_9^3*c_1100_0^2 - 20*c_0101_9^3*c_1100_0 + 17/4*c_0101_9^3 - 1/4*c_0101_9^2*c_1100_0^2 - 5/2*c_0101_9^2*c_1100_0 - 9/4*c_0101_9^2 - 3/4*c_0101_9*c_1100_0^2 - 13/2*c_0101_9*c_1100_0 + 9/4*c_0101_9 + c_1100_0 - 1, c_0011_11 + 11/2*c_0101_9^3*c_1100_0^2 + 97/2*c_0101_9^3*c_1100_0 - 14*c_0101_9^3 - c_0101_9^2*c_1100_0^2 - 17/2*c_0101_9^2*c_1100_0 + 11/2*c_0101_9^2 + 2*c_0101_9*c_1100_0^2 + 35/2*c_0101_9*c_1100_0 - 15/2*c_0101_9 - 5/4*c_1100_0^2 - 11*c_1100_0 + 17/4, c_0011_3 + 13/4*c_0101_9^3*c_1100_0^2 + 57/2*c_0101_9^3*c_1100_0 - 39/4*c_0101_9^3 - 5/4*c_0101_9^2*c_1100_0^2 - 11*c_0101_9^2*c_1100_0 + 13/4*c_0101_9^2 + 5/4*c_0101_9*c_1100_0^2 + 11*c_0101_9*c_1100_0 - 17/4*c_0101_9 - c_1100_0^2 - 8*c_1100_0 + 3, c_0011_8 - 9/4*c_0101_9^3*c_1100_0^2 - 20*c_0101_9^3*c_1100_0 + 17/4*c_0101_9^3 - 1/2*c_0101_9^2*c_1100_0 - 9/2*c_0101_9^2 - 3/4*c_0101_9*c_1100_0^2 - 13/2*c_0101_9*c_1100_0 + 9/4*c_0101_9 + 1/2*c_1100_0^2 + 5*c_1100_0 - 3/2, c_0101_0 + 13/4*c_0101_9^3*c_1100_0^2 + 28*c_0101_9^3*c_1100_0 - 57/4*c_0101_9^3 - 5/4*c_0101_9^2*c_1100_0^2 - 11*c_0101_9^2*c_1100_0 + 13/4*c_0101_9^2 + 2*c_0101_9*c_1100_0^2 + 35/2*c_0101_9*c_1100_0 - 11/2*c_0101_9 - c_1100_0^2 - 17/2*c_1100_0 + 7/2, c_0101_1 + 13/4*c_0101_9^3*c_1100_0^2 + 28*c_0101_9^3*c_1100_0 - 57/4*c_0101_9^3 - 5/4*c_0101_9^2*c_1100_0^2 - 11*c_0101_9^2*c_1100_0 + 13/4*c_0101_9^2 + 3/2*c_0101_9*c_1100_0^2 + 13*c_0101_9*c_1100_0 - 11/2*c_0101_9 - c_1100_0^2 - 17/2*c_1100_0 + 7/2, c_0101_11 + 13/4*c_0101_9^3*c_1100_0^2 + 28*c_0101_9^3*c_1100_0 - 57/4*c_0101_9^3 - 5/4*c_0101_9^2*c_1100_0^2 - 11*c_0101_9^2*c_1100_0 + 13/4*c_0101_9^2 + 3/2*c_0101_9*c_1100_0^2 + 13*c_0101_9*c_1100_0 - 11/2*c_0101_9 - c_1100_0^2 - 8*c_1100_0 + 3, c_0101_2 - c_0101_9^3*c_1100_0^2 - 8*c_0101_9^3*c_1100_0 + 10*c_0101_9^3 + c_0101_9^2*c_1100_0^2 + 9*c_0101_9^2*c_1100_0 - c_0101_9^2 - c_0101_9*c_1100_0^2 - 9*c_0101_9*c_1100_0 + 2*c_0101_9 + 1/2*c_1100_0^2 + 9/2*c_1100_0 - 2, c_0101_9^4 + 1/4*c_0101_9^3*c_1100_0^2 + 2*c_0101_9^3*c_1100_0 - 1/4*c_0101_9^3 + 3/4*c_0101_9^2*c_1100_0^2 - c_0101_9^2*c_1100_0 + 1/4*c_0101_9^2 + 2*c_0101_9*c_1100_0^2 + 1/2*c_0101_9*c_1100_0 - 1/2*c_0101_9 + 19*c_1100_0^2 - 2*c_1100_0 - 2, c_1001_1 - 1/4*c_1100_0^2 - 2*c_1100_0 + 1/4, c_1100_0^3 + 9*c_1100_0^2 - c_1100_0 - 1 ], Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_3, c_0011_8, c_0101_0, c_0101_1, c_0101_11, c_0101_2, c_0101_9, c_1001_1, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t - 23269237979243/30143975584*c_1100_0^12 + 3846558667731/1402045376*c_1100_0^11 - 843244052247265/120575902336*c_1100_0^10 + 1620936647236821/120575902336*c_1100_0^9 - 1524038559269961/120575902336*c_1100_0^8 + 331560268115131/60287951168*c_1100_0^7 + 331965259281563/60287951168*c_1100_0^6 - 240471965035523/30143975584*c_1100_0^5 + 121636781086431/30143975584*c_1100_0^4 + 236469132302535/120575902336*c_1100_0^3 - 566782127439587/120575902336*c_1100_0^2 + 198261186276817/60287951168*c_1100_0 - 144641718242931/120575902336, c_0011_0 - 1, c_0011_10 - 70773569/87627836*c_1100_0^12 + 203909531/175255672*c_1100_0^11 - 1032196971/350511344*c_1100_0^10 + 1214224163/350511344*c_1100_0^9 + 1583343917/350511344*c_1100_0^8 - 205350773/175255672*c_1100_0^7 + 931954087/175255672*c_1100_0^6 + 127704695/21906959*c_1100_0^5 + 87466907/43813918*c_1100_0^4 + 1285886121/350511344*c_1100_0^3 + 630906551/350511344*c_1100_0^2 + 43613773/175255672*c_1100_0 + 326883699/350511344, c_0011_11 - 24197469/87627836*c_1100_0^12 + 98591759/175255672*c_1100_0^11 - 615096159/350511344*c_1100_0^10 + 1011886999/350511344*c_1100_0^9 - 635167639/350511344*c_1100_0^8 + 485999791/175255672*c_1100_0^7 + 378429043/175255672*c_1100_0^6 - 597403/21906959*c_1100_0^5 + 175428319/43813918*c_1100_0^4 + 293546341/350511344*c_1100_0^3 + 73932763/350511344*c_1100_0^2 + 233775417/175255672*c_1100_0 + 62636839/350511344, c_0011_3 - 157203647/87627836*c_1100_0^12 + 745703285/175255672*c_1100_0^11 - 3654983781/350511344*c_1100_0^10 + 6036715525/350511344*c_1100_0^9 - 1844338797/350511344*c_1100_0^8 + 210752369/175255672*c_1100_0^7 + 2087516541/175255672*c_1100_0^6 + 17873799/43813918*c_1100_0^5 + 41753202/21906959*c_1100_0^4 + 1918254895/350511344*c_1100_0^3 - 549773543/350511344*c_1100_0^2 + 279009655/175255672*c_1100_0 + 116349829/350511344, c_0011_8 - 268107/21906959*c_1100_0^12 + 3158417/43813918*c_1100_0^11 - 28033137/87627836*c_1100_0^10 + 84721661/87627836*c_1100_0^9 - 152656205/87627836*c_1100_0^8 + 116147657/43813918*c_1100_0^7 - 88127547/43813918*c_1100_0^6 - 12435496/21906959*c_1100_0^5 + 11662943/21906959*c_1100_0^4 - 48409661/87627836*c_1100_0^3 - 145988823/87627836*c_1100_0^2 - 2948313/43813918*c_1100_0 - 36512011/87627836, c_0101_0 - 3947664/21906959*c_1100_0^12 + 11855558/21906959*c_1100_0^11 - 17442535/21906959*c_1100_0^10 + 58543299/43813918*c_1100_0^9 + 19244914/21906959*c_1100_0^8 - 154904893/43813918*c_1100_0^7 + 37085805/43813918*c_1100_0^6 - 37392005/43813918*c_1100_0^5 - 82567911/43813918*c_1100_0^4 - 9696709/43813918*c_1100_0^3 - 16811002/21906959*c_1100_0^2 - 704423/43813918*c_1100_0 + 5864785/43813918, c_0101_1 - 15677234/21906959*c_1100_0^12 + 45127147/21906959*c_1100_0^11 - 205215811/43813918*c_1100_0^10 + 339749339/43813918*c_1100_0^9 - 125619601/43813918*c_1100_0^8 - 82035398/21906959*c_1100_0^7 + 189831909/21906959*c_1100_0^6 - 54833260/21906959*c_1100_0^5 + 871187/21906959*c_1100_0^4 + 172572547/43813918*c_1100_0^3 - 59114005/43813918*c_1100_0^2 + 36985538/21906959*c_1100_0 + 12433993/43813918, c_0101_11 - 268107/21906959*c_1100_0^12 + 3158417/43813918*c_1100_0^11 - 28033137/87627836*c_1100_0^10 + 84721661/87627836*c_1100_0^9 - 152656205/87627836*c_1100_0^8 + 116147657/43813918*c_1100_0^7 - 88127547/43813918*c_1100_0^6 - 12435496/21906959*c_1100_0^5 + 11662943/21906959*c_1100_0^4 - 48409661/87627836*c_1100_0^3 - 145988823/87627836*c_1100_0^2 + 40865605/43813918*c_1100_0 - 36512011/87627836, c_0101_2 + 5540299/21906959*c_1100_0^12 - 62212983/43813918*c_1100_0^11 + 273964295/87627836*c_1100_0^10 - 143316378/21906959*c_1100_0^9 + 617556723/87627836*c_1100_0^8 + 16031443/87627836*c_1100_0^7 - 165176107/87627836*c_1100_0^6 + 532491301/87627836*c_1100_0^5 + 40673645/87627836*c_1100_0^4 - 33140805/43813918*c_1100_0^3 + 226219607/87627836*c_1100_0^2 - 58102705/87627836*c_1100_0 - 3994503/43813918, c_0101_9 + 24197469/87627836*c_1100_0^12 - 98591759/175255672*c_1100_0^11 + 615096159/350511344*c_1100_0^10 - 1011886999/350511344*c_1100_0^9 + 635167639/350511344*c_1100_0^8 - 485999791/175255672*c_1100_0^7 - 378429043/175255672*c_1100_0^6 + 597403/21906959*c_1100_0^5 - 175428319/43813918*c_1100_0^4 - 293546341/350511344*c_1100_0^3 - 73932763/350511344*c_1100_0^2 - 233775417/175255672*c_1100_0 - 62636839/350511344, c_1001_1 - 23793239/87627836*c_1100_0^12 + 180214621/175255672*c_1100_0^11 - 859682317/350511344*c_1100_0^10 + 1576647965/350511344*c_1100_0^9 - 1288332613/350511344*c_1100_0^8 - 58072775/175255672*c_1100_0^7 + 639372821/175255672*c_1100_0^6 - 95950701/43813918*c_1100_0^5 - 33896074/21906959*c_1100_0^4 + 970969063/350511344*c_1100_0^3 - 511312719/350511344*c_1100_0^2 + 53133327/175255672*c_1100_0 + 194380125/350511344, c_1100_0^13 - 5/2*c_1100_0^12 + 25/4*c_1100_0^11 - 21/2*c_1100_0^10 + 9/2*c_1100_0^9 - 5/4*c_1100_0^8 - 8*c_1100_0^7 + 3/2*c_1100_0^6 - 2*c_1100_0^5 - 17/4*c_1100_0^4 + 3/2*c_1100_0^3 - 7/4*c_1100_0^2 - 1/4*c_1100_0 - 1/4 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 1.450 Total time: 1.659 seconds, Total memory usage: 64.12MB