Magma V2.19-8 Tue Aug 20 2013 20:58:11 on localhost [Seed = 2362101363] Type ? for help. Type -D to quit. Loading file "9^2_42__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation 9^2_42 geometric_solution 13.94841773 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 15 1 2 2 3 0132 0132 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 -1 1 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 0.706415891335 0.837053100887 0 4 6 5 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 -1 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.764807281720 0.959385665646 0 0 8 7 2031 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 1 0 0 -1 1 0 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.411163708018 0.697729553035 9 9 0 10 0132 1230 0132 0132 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 0 0 0 0 0 0 1 -1 0 -1 0 1 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 0.631281006830 0.695852870788 5 1 11 12 0213 0132 0132 0132 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 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 0.705290243533 0.540869163873 4 13 1 14 0213 0132 0132 0132 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 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315218747638 0.549436860881 9 12 8 1 3120 2103 3012 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 0.616385030877 0.405134859424 14 10 2 13 1230 0132 0132 1230 0 0 1 0 0 0 0 0 0 0 0 0 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 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 -0.272956185555 0.931956818188 11 6 13 2 1230 1230 1230 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 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.359693511302 0.843928685987 3 12 3 6 0132 0321 3012 3120 0 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 0 0 0 0 0 0 0 0 1 0 -1 0 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.284851308759 0.788299132170 13 7 3 14 2103 0132 0132 2103 0 0 0 1 0 0 0 0 0 0 0 0 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 0 0 0 0 0 0 0 -1 0 0 1 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.187460966002 0.697206671668 14 8 12 4 0321 3012 2103 0132 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 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 0.564475739407 0.537877444761 11 6 4 9 2103 2103 0132 0321 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 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 0.776792215139 1.425616039802 7 5 10 8 3012 0132 2103 3012 0 0 0 1 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 1 -1 0 0 0 0 1 -1 0 0 -1 -1 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.315218747638 0.549436860881 11 7 5 10 0321 3012 0132 2103 0 0 0 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 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 0.604101662387 0.876530720978 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_0' : d['1'], 'c_1001_14' : d['c_0011_10'], 'c_1001_11' : d['c_0011_12'], 'c_1001_10' : d['c_0101_10'], 'c_1001_13' : d['c_0011_10'], 'c_1001_12' : d['c_0011_6'], 'c_1001_5' : negation(d['c_0101_8']), 'c_1001_4' : negation(d['c_0101_8']), 'c_1001_7' : d['c_0101_7'], 'c_1001_6' : d['c_0011_12'], 'c_1001_1' : d['c_0011_6'], 'c_1001_0' : d['c_0101_7'], 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : d['c_0101_6'], 'c_1001_9' : negation(d['c_0011_3']), 'c_1001_8' : d['c_0110_10'], 'c_1010_13' : negation(d['c_0101_8']), 'c_1010_12' : negation(d['c_0011_6']), 'c_1010_11' : negation(d['c_0101_8']), 'c_1010_10' : d['c_0101_7'], 'c_1010_14' : negation(d['c_0101_7']), 's_0_10' : d['1'], 's_3_10' : d['1'], 's_3_13' : d['1'], 's_0_13' : d['1'], 's_0_14' : d['1'], 's_3_14' : 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_10'], 'c_0101_14' : negation(d['c_0101_11']), '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_13' : 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_14' : d['c_0011_13'], 'c_1100_9' : negation(d['c_0101_6']), 'c_0011_10' : d['c_0011_10'], 'c_0011_13' : d['c_0011_13'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0110_10']), 'c_1100_4' : negation(d['c_0011_3']), 'c_1100_7' : d['c_0110_13'], 'c_1100_6' : negation(d['c_0110_10']), 'c_1100_1' : negation(d['c_0110_10']), 'c_1100_0' : d['c_0011_11'], 'c_1100_3' : d['c_0011_11'], 'c_1100_2' : d['c_0110_13'], 'c_1100_14' : negation(d['c_0110_10']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_3']), 'c_1100_10' : d['c_0011_11'], 'c_1100_13' : negation(d['c_0110_10']), 's_0_11' : d['1'], 's_0_12' : d['1'], 'c_1010_7' : d['c_0101_10'], 'c_1010_6' : d['c_0011_6'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0011_6'], 'c_1010_3' : d['c_0101_10'], 'c_1010_2' : d['c_0101_7'], 'c_1010_1' : negation(d['c_0101_8']), 'c_1010_0' : d['c_0101_6'], 'c_1010_9' : negation(d['c_0011_6']), 'c_1010_8' : d['c_0101_6'], 'c_1100_8' : d['c_0110_13'], 's_3_1' : d['1'], 'c_0101_13' : d['c_0101_10'], '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' : negation(d['c_0011_3']), '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' : negation(d['c_0011_12']), 'c_0011_5' : negation(d['c_0011_13']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_10']), '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_0110_11' : negation(d['c_0011_13']), 'c_0110_10' : d['c_0110_10'], 'c_0110_13' : d['c_0110_13'], 'c_0110_12' : d['c_0011_3'], 'c_0110_14' : negation(d['c_0011_11']), 'c_0101_12' : d['c_0101_11'], 's_3_12' : d['1'], 's_2_14' : d['1'], 'c_0011_11' : d['c_0011_11'], 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_0'], 'c_0101_4' : negation(d['c_0011_13']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_11'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_10'], 'c_0101_8' : d['c_0101_8'], 's_1_14' : d['1'], 's_1_13' : d['1'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : d['c_0011_11'], 'c_0110_1' : d['c_0011_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_10'], 'c_0110_2' : d['c_0101_7'], 'c_0110_5' : negation(d['c_0101_11']), 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : d['c_0011_13'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0101_8, c_0110_10, c_0110_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 7 Groebner basis: [ t + 1493/5024*c_0110_13^6 + 4825/5024*c_0110_13^5 + 301/157*c_0110_13^4 + 11247/2512*c_0110_13^3 + 20425/5024*c_0110_13^2 + 24593/5024*c_0110_13 - 6523/2512, c_0011_0 - 1, c_0011_10 - 3/16*c_0110_13^6 - 5/8*c_0110_13^5 - 5/4*c_0110_13^4 - 23/8*c_0110_13^3 - 37/16*c_0110_13^2 - 2*c_0110_13 + 9/4, c_0011_11 - 1/8*c_0110_13^6 - 3/8*c_0110_13^5 - 5/8*c_0110_13^4 - 13/8*c_0110_13^3 - 3/4*c_0110_13^2 - 1/2*c_0110_13 + 2, c_0011_12 + 1/4*c_0110_13^6 + c_0110_13^5 + 9/4*c_0110_13^4 + 5*c_0110_13^3 + 11/2*c_0110_13^2 + 6*c_0110_13 - 2, c_0011_13 - 1/4*c_0110_13^6 - 7/8*c_0110_13^5 - 15/8*c_0110_13^4 - 33/8*c_0110_13^3 - 31/8*c_0110_13^2 - 4*c_0110_13 + 3, c_0011_3 - 1, c_0011_6 + 1/4*c_0110_13^6 + 7/8*c_0110_13^5 + 15/8*c_0110_13^4 + 33/8*c_0110_13^3 + 35/8*c_0110_13^2 + 4*c_0110_13 - 3/2, c_0101_1 - 1/8*c_0110_13^6 - 3/8*c_0110_13^5 - 5/8*c_0110_13^4 - 13/8*c_0110_13^3 - 5/4*c_0110_13^2 - c_0110_13 + 1, c_0101_10 - 3/16*c_0110_13^6 - 5/8*c_0110_13^5 - 5/4*c_0110_13^4 - 23/8*c_0110_13^3 - 37/16*c_0110_13^2 - 2*c_0110_13 + 9/4, c_0101_11 + 1/16*c_0110_13^6 + 1/8*c_0110_13^5 + 1/4*c_0110_13^4 + 5/8*c_0110_13^3 - 1/16*c_0110_13^2 + 3/4*c_0110_13 - 3/4, c_0101_6 + 1/4*c_0110_13^4 + 1/2*c_0110_13^3 + 3/4*c_0110_13^2 + 3/2*c_0110_13 + 1, c_0101_7 - 1/4*c_0110_13^6 - 7/8*c_0110_13^5 - 15/8*c_0110_13^4 - 33/8*c_0110_13^3 - 31/8*c_0110_13^2 - 7/2*c_0110_13 + 5/2, c_0101_8 - 1, c_0110_10 - 1/8*c_0110_13^6 - 1/2*c_0110_13^5 - 5/4*c_0110_13^4 - 5/2*c_0110_13^3 - 25/8*c_0110_13^2 - 3*c_0110_13 + 1/2, c_0110_13^7 + 3*c_0110_13^6 + 6*c_0110_13^5 + 14*c_0110_13^4 + 9*c_0110_13^3 + 11*c_0110_13^2 - 16*c_0110_13 + 4 ], Ideal of Polynomial ring of rank 16 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_11, c_0011_12, c_0011_13, c_0011_3, c_0011_6, c_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_7, c_0101_8, c_0110_10, c_0110_13 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t - 3116/1141*c_0110_13^9 + 18415/1141*c_0110_13^8 - 52988/1141*c_0110_13^7 + 84645/1141*c_0110_13^6 - 12517/163*c_0110_13^5 + 64377/1141*c_0110_13^4 - 30496/1141*c_0110_13^3 + 9683/1141*c_0110_13^2 - 1012/1141*c_0110_13 - 19/163, c_0011_0 - 1, c_0011_10 + c_0110_13^9 - 8*c_0110_13^8 + 30*c_0110_13^7 - 66*c_0110_13^6 + 94*c_0110_13^5 - 95*c_0110_13^4 + 75*c_0110_13^3 - 46*c_0110_13^2 + 19*c_0110_13 - 5, c_0011_11 - 3*c_0110_13^9 + 23*c_0110_13^8 - 82*c_0110_13^7 + 169*c_0110_13^6 - 221*c_0110_13^5 + 203*c_0110_13^4 - 145*c_0110_13^3 + 78*c_0110_13^2 - 26*c_0110_13 + 7, c_0011_12 - 11*c_0110_13^9 + 70*c_0110_13^8 - 212*c_0110_13^7 + 356*c_0110_13^6 - 373*c_0110_13^5 + 275*c_0110_13^4 - 156*c_0110_13^3 + 48*c_0110_13^2 - 4*c_0110_13 - 4, c_0011_13 - c_0110_13^9 + 9*c_0110_13^8 - 36*c_0110_13^7 + 84*c_0110_13^6 - 125*c_0110_13^5 + 131*c_0110_13^4 - 104*c_0110_13^3 + 61*c_0110_13^2 - 24*c_0110_13 + 7, c_0011_3 - 1, c_0011_6 - 3*c_0110_13^9 + 19*c_0110_13^8 - 57*c_0110_13^7 + 94*c_0110_13^6 - 95*c_0110_13^5 + 66*c_0110_13^4 - 34*c_0110_13^3 + 7*c_0110_13^2 + 2*c_0110_13 - 2, c_0101_1 + 2*c_0110_13^9 - 12*c_0110_13^8 + 35*c_0110_13^7 - 57*c_0110_13^6 + 61*c_0110_13^5 - 48*c_0110_13^4 + 27*c_0110_13^3 - 8*c_0110_13^2 + 2*c_0110_13 + 1, c_0101_10 - 2*c_0110_13^9 + 14*c_0110_13^8 - 47*c_0110_13^7 + 92*c_0110_13^6 - 119*c_0110_13^5 + 114*c_0110_13^4 - 87*c_0110_13^3 + 49*c_0110_13^2 - 20*c_0110_13 + 6, c_0101_11 + c_0110_13^9 - 6*c_0110_13^8 + 17*c_0110_13^7 - 26*c_0110_13^6 + 25*c_0110_13^5 - 19*c_0110_13^4 + 12*c_0110_13^3 - 3*c_0110_13^2 + c_0110_13 - 1, c_0101_6 - c_0110_13^9 + 8*c_0110_13^8 - 28*c_0110_13^7 + 54*c_0110_13^6 - 60*c_0110_13^5 + 43*c_0110_13^4 - 26*c_0110_13^3 + 12*c_0110_13^2 - c_0110_13 + 1, c_0101_7 - 4*c_0110_13^9 + 26*c_0110_13^8 - 81*c_0110_13^7 + 143*c_0110_13^6 - 163*c_0110_13^5 + 136*c_0110_13^4 - 90*c_0110_13^3 + 41*c_0110_13^2 - 14*c_0110_13 + 2, c_0101_8 - c_0110_13 + 1, c_0110_10 + 3*c_0110_13^9 - 18*c_0110_13^8 + 51*c_0110_13^7 - 76*c_0110_13^6 + 64*c_0110_13^5 - 29*c_0110_13^4 + c_0110_13^3 + 15*c_0110_13^2 - 11*c_0110_13 + 5, c_0110_13^10 - 7*c_0110_13^9 + 24*c_0110_13^8 - 49*c_0110_13^7 + 68*c_0110_13^6 - 70*c_0110_13^5 + 56*c_0110_13^4 - 34*c_0110_13^3 + 16*c_0110_13^2 - 5*c_0110_13 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.450 Total time: 2.649 seconds, Total memory usage: 137.09MB