Magma V2.19-8 Tue Aug 20 2013 16:19:26 on localhost [Seed = 1292685425] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v3525 geometric_solution 6.85137072 oriented_manifold CS_known -0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 1 2 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625594354010 0.620561967587 0 4 0 3 0132 0132 1023 3201 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.625594354010 0.620561967587 5 0 6 3 0132 0132 0132 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 -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 0.534131201807 0.834362504726 2 1 0 4 3012 2310 0132 2103 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 -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 0.959271146900 0.975915954797 5 1 6 3 2310 0132 2310 2103 0 0 0 0 0 0 0 0 0 0 0 0 1 0 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 1 0 0 -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 0.534131201807 0.834362504726 2 5 4 5 0132 2310 3201 3201 0 0 0 0 0 -1 1 0 0 0 -1 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 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 0.240955293321 1.119893048460 6 4 6 2 2031 3201 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.603106462736 1.200448815626 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : negation(d['1']), 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_0' : negation(d['1']), 's_2_0' : negation(d['1']), 's_2_1' : negation(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' : negation(d['1']), 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : d['1'], 's_0_6' : 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_6' : negation(d['c_0011_6']), 'c_1100_5' : negation(d['c_0011_0']), 'c_1100_4' : d['c_0011_6'], 's_3_6' : d['1'], 'c_1100_1' : negation(d['c_0011_3']), 'c_1100_0' : d['c_0011_3'], 'c_1100_3' : d['c_0011_3'], 'c_1100_2' : negation(d['c_0011_6']), 'c_0101_6' : negation(d['c_0011_6']), 'c_0101_5' : d['c_0011_3'], 'c_0101_4' : negation(d['c_0101_2']), '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_0011_5' : d['c_0011_0'], 'c_0011_4' : d['c_0011_0'], 'c_0011_6' : d['c_0011_6'], '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_2'], 'c_1001_4' : negation(d['c_1001_2']), 'c_1001_6' : d['c_0101_2'], 'c_1001_1' : d['c_0101_0'], 'c_1001_0' : d['c_0101_1'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : negation(d['c_0011_6']), 'c_0110_2' : d['c_0011_3'], 'c_0110_5' : d['c_0101_2'], 'c_0110_4' : negation(d['c_0011_3']), 'c_0110_6' : d['c_0101_2'], 'c_1010_6' : d['c_1001_2'], 'c_1010_5' : negation(d['c_0101_2']), 'c_1010_4' : d['c_0101_0'], 'c_1010_3' : negation(d['c_0101_0']), 'c_1010_2' : d['c_0101_1'], 'c_1010_1' : negation(d['c_1001_2']), 'c_1010_0' : d['c_1001_2']})} 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_0011_6, c_0101_0, c_0101_1, c_0101_2, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 18 Groebner basis: [ t - 14019008153463/13576150080031*c_1001_2^16 - 100119851869243/13576150080031*c_1001_2^14 - 325336211204167/13576150080031*c_1001_2^12 - 545723507592764/13576150080031*c_1001_2^10 - 446555316879426/13576150080031*c_1001_2^8 - 27903822055484/13576150080031*c_1001_2^6 + 254142924546634/13576150080031*c_1001_2^4 + 18620063190787/1939450011433*c_1001_2^2 + 94200730940524/13576150080031, c_0011_0 - 1, c_0011_3 - 26401618449/1234195461821*c_1001_2^16 - 208553016034/1234195461821*c_1001_2^14 - 616980262105/1234195461821*c_1001_2^12 - 653874259613/1234195461821*c_1001_2^10 + 495888048133/1234195461821*c_1001_2^8 + 1203799293269/1234195461821*c_1001_2^6 - 117890859575/1234195461821*c_1001_2^4 - 196745598284/176313637403*c_1001_2^2 - 122098328531/1234195461821, c_0011_6 - 529696226610/13576150080031*c_1001_2^17 - 4418576091793/13576150080031*c_1001_2^15 - 17430445180185/13576150080031*c_1001_2^13 - 37756433973290/13576150080031*c_1001_2^11 - 42905215304993/13576150080031*c_1001_2^9 - 9408438126833/13576150080031*c_1001_2^7 + 33116636652040/13576150080031*c_1001_2^5 + 4911769364793/1939450011433*c_1001_2^3 + 5083806796213/13576150080031*c_1001_2, c_0101_0 + 112117402449/13576150080031*c_1001_2^17 + 1633127658672/13576150080031*c_1001_2^15 + 7873938171131/13576150080031*c_1001_2^13 + 17829078440979/13576150080031*c_1001_2^11 + 16827067156513/13576150080031*c_1001_2^9 - 3385775553649/13576150080031*c_1001_2^7 - 14562785380606/13576150080031*c_1001_2^5 - 685869758548/1939450011433*c_1001_2^3 + 4482018240200/13576150080031*c_1001_2, c_0101_1 - 112117402449/13576150080031*c_1001_2^17 - 1633127658672/13576150080031*c_1001_2^15 - 7873938171131/13576150080031*c_1001_2^13 - 17829078440979/13576150080031*c_1001_2^11 - 16827067156513/13576150080031*c_1001_2^9 + 3385775553649/13576150080031*c_1001_2^7 + 14562785380606/13576150080031*c_1001_2^5 + 685869758548/1939450011433*c_1001_2^3 - 4482018240200/13576150080031*c_1001_2, c_0101_2 - 105683827455/1234195461821*c_1001_2^16 - 788928180788/1234195461821*c_1001_2^14 - 2619533964072/1234195461821*c_1001_2^12 - 4502032817591/1234195461821*c_1001_2^10 - 3691066505530/1234195461821*c_1001_2^8 + 74022497247/1234195461821*c_1001_2^6 + 3215132212006/1234195461821*c_1001_2^4 + 282675508001/176313637403*c_1001_2^2 + 287937435523/1234195461821, c_1001_2^18 + 76/9*c_1001_2^16 + 289/9*c_1001_2^14 + 596/9*c_1001_2^12 + 655/9*c_1001_2^10 + 235/9*c_1001_2^8 - 98/3*c_1001_2^6 - 127/3*c_1001_2^4 - 205/9*c_1001_2^2 - 121/9 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.010 Total time: 0.210 seconds, Total memory usage: 32.09MB