Magma V2.19-8 Tue Aug 20 2013 23:47:34 on localhost [Seed = 2446851023] Type ? for help. Type -D to quit. Loading file "K10a18__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K10a18 geometric_solution 12.07471168 oriented_manifold CS_known -0.0000000000000001 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 0 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 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.576959115162 0.905253297033 0 4 6 5 0132 2103 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 1 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 0 0 0 1.021748821482 0.689624631487 7 0 7 3 0132 0132 3012 0132 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 -1 1 0 0 0 0 4 1 -5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.366859786254 0.468981825133 8 9 2 0 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 -1 0 1 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 -0.084196916611 1.178371198364 7 1 0 6 3120 2103 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 1 -1 0 0 0 0 0 1 -1 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.657484030709 1.624427536018 10 8 1 11 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 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 0.634239116058 1.543768499724 7 4 8 1 2103 2310 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.478170754933 0.830549397135 2 2 6 4 0132 1230 2103 3120 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 1 0 -1 0 0 0 0 -4 5 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.019860700688 0.755434771645 3 5 10 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 -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 0.578653753986 0.685506707696 10 3 12 12 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 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 0.290684163412 0.850325704301 5 9 11 8 0132 1023 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 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 0.138426902616 0.613717365267 12 12 5 10 2031 3012 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 -1 1 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 0.290684163412 0.850325704301 11 9 11 9 1230 0321 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 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 0.640042384487 1.052968312192 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_11' : negation(d['c_0011_12']), 'c_1001_10' : d['c_0011_11'], 'c_1001_12' : d['c_0101_10'], 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : d['c_0011_6'], 'c_1001_6' : d['c_1001_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_0'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_1001_0'], 'c_1001_8' : negation(d['c_0011_12']), 'c_1010_12' : d['c_1001_0'], 'c_1010_11' : d['c_0011_11'], 'c_1010_10' : negation(d['c_0011_12']), 's_0_10' : d['1'], 's_0_11' : 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' : d['c_0101_10'], 'c_0101_10' : d['c_0101_10'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : negation(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' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(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_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0011_6']), 'c_1100_7' : negation(d['c_0101_1']), 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0011_6']), 'c_1100_3' : negation(d['c_0011_6']), 'c_1100_2' : negation(d['c_0011_6']), 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_1'], 'c_1100_10' : d['c_1100_1'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_4']), 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_12']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_0'], 'c_1010_8' : d['c_1001_5'], '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' : negation(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_10'], 'c_0011_8' : d['c_0011_10'], 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : 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' : negation(d['c_0011_10']), 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_0'], 'c_0110_12' : d['c_0011_11'], 'c_0101_12' : negation(d['c_0011_11']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_3'], 'c_0101_6' : d['c_0101_3'], 'c_0101_5' : d['c_0101_0'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : negation(d['c_0011_4']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0011_11'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_12']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0101_0'], 'c_1100_9' : d['c_0101_10'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_3'], 'c_0110_5' : d['c_0101_10'], 'c_0110_4' : negation(d['c_0011_4']), 'c_0110_7' : negation(d['c_0011_4']), 'c_1100_8' : d['c_1100_1']})} 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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 9 Groebner basis: [ t - 4507/7015*c_1001_5^2*c_1100_1^2 + 5571/14030*c_1001_5^2*c_1100_1 - 89/7015*c_1001_5^2 - 4851/14030*c_1001_5*c_1100_1^2 + 2452/7015*c_1001_5*c_1100_1 - 11221/7015*c_1001_5 - 4222/7015*c_1100_1^2 + 23901/14030*c_1100_1 - 24113/14030, c_0011_0 - 1, c_0011_10 + c_1100_1^2 - 1, c_0011_11 - c_1001_5^2*c_1100_1 + 2*c_1001_5*c_1100_1^2 - c_1001_5*c_1100_1 + 2*c_1100_1^2 - 2*c_1100_1, c_0011_12 - c_1001_5^2*c_1100_1^2 + c_1001_5^2*c_1100_1 + c_1001_5^2 - 2*c_1001_5*c_1100_1^2 - c_1001_5*c_1100_1 - 2*c_1100_1^2, c_0011_4 + c_1001_5^2*c_1100_1 - 2*c_1001_5*c_1100_1^2 + 2*c_1001_5*c_1100_1 - 2*c_1100_1^2 + 2*c_1100_1, c_0011_6 + c_1001_5, c_0101_0 + c_1001_5^2*c_1100_1^2 - c_1001_5*c_1100_1^2 + 3*c_1001_5 + 2, c_0101_1 + c_1001_5^2*c_1100_1 - 2*c_1001_5*c_1100_1^2 + c_1001_5*c_1100_1 - 2*c_1100_1^2 + 2*c_1100_1, c_0101_10 - c_1001_5^2*c_1100_1 + 2*c_1001_5*c_1100_1^2 - 2*c_1001_5*c_1100_1 + 2*c_1100_1^2 - 2*c_1100_1, c_0101_3 + c_1001_5^2*c_1100_1^2 + 3*c_1001_5 + 2, c_1001_0 + c_1100_1, c_1001_5^3 - 2*c_1001_5^2*c_1100_1 + 2*c_1001_5^2 - 3*c_1001_5*c_1100_1 + 3*c_1001_5 - c_1100_1 + 1, c_1100_1^3 - c_1100_1^2 + 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_12, c_0011_4, c_0011_6, c_0101_0, c_0101_1, c_0101_10, c_0101_3, c_1001_0, c_1001_5, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 23 Groebner basis: [ t - 5846161/222012*c_1100_1^22 + 7258931/111006*c_1100_1^21 + 12414463/37002*c_1100_1^20 + 10372214/55503*c_1100_1^19 - 15351386/18501*c_1100_1^18 - 83223863/111006*c_1100_1^17 + 89575729/55503*c_1100_1^16 + 125497754/55503*c_1100_1^15 - 146376127/74004*c_1100_1^14 - 478060417/111006*c_1100_1^13 + 16264781/18501*c_1100_1^12 + 609855385/111006*c_1100_1^11 + 163579979/222012*c_1100_1^10 - 629210719/111006*c_1100_1^9 - 253828997/74004*c_1100_1^8 + 74473940/18501*c_1100_1^7 + 1330738925/222012*c_1100_1^6 + 117924203/111006*c_1100_1^5 - 132453155/31716*c_1100_1^4 - 27496079/7929*c_1100_1^3 + 1726597/6167*c_1100_1^2 + 12211604/6167*c_1100_1 + 44425121/55503, c_0011_0 - 1, c_0011_10 + c_1100_1^3, c_0011_11 + 1/4*c_1100_1^20 - 3/4*c_1100_1^18 + 2*c_1100_1^16 - 13/4*c_1100_1^14 + 17/4*c_1100_1^12 - 4*c_1100_1^10 - 1/2*c_1100_1^9 + 11/4*c_1100_1^8 + c_1100_1^7 - 1/2*c_1100_1^6 - 3/2*c_1100_1^5 - 1/2*c_1100_1^4 + 1/2*c_1100_1^3 + 1/4*c_1100_1^2 - 1/2*c_1100_1 + 1/2, c_0011_12 + 1/2*c_1100_1^22 + c_1100_1^21 - 5/4*c_1100_1^20 - 3*c_1100_1^19 + 11/4*c_1100_1^18 + 31/4*c_1100_1^17 - 4*c_1100_1^16 - 13*c_1100_1^15 + 11/4*c_1100_1^14 + 65/4*c_1100_1^13 - 5/4*c_1100_1^12 - 16*c_1100_1^11 - 9/2*c_1100_1^10 + 11*c_1100_1^9 + 39/4*c_1100_1^8 + c_1100_1^7 - 17/2*c_1100_1^6 - 17/4*c_1100_1^5 + 5/2*c_1100_1^4 + 15/4*c_1100_1^3 - 7/4*c_1100_1^2 + c_1100_1 + 1/2, c_0011_4 + 1/4*c_1100_1^22 - 3/4*c_1100_1^20 + 9/4*c_1100_1^18 - 4*c_1100_1^16 - 1/2*c_1100_1^15 + 6*c_1100_1^14 + c_1100_1^13 - 27/4*c_1100_1^12 - 3*c_1100_1^11 + 23/4*c_1100_1^10 + 4*c_1100_1^9 - 5/2*c_1100_1^8 - 5*c_1100_1^7 + 1/4*c_1100_1^6 + 4*c_1100_1^5 + 11/4*c_1100_1^4 - 2*c_1100_1^3 - 7/4*c_1100_1^2 - 1/2*c_1100_1 + 1/2, c_0011_6 - 1/2*c_1100_1^22 - 1/4*c_1100_1^21 + 3/2*c_1100_1^20 + 3/2*c_1100_1^19 - 7/2*c_1100_1^18 - 7/2*c_1100_1^17 + 21/4*c_1100_1^16 + 15/2*c_1100_1^15 - 11/2*c_1100_1^14 - 39/4*c_1100_1^13 + 11/4*c_1100_1^12 + 11*c_1100_1^11 + 1/2*c_1100_1^10 - 37/4*c_1100_1^9 - 8*c_1100_1^8 + 13/4*c_1100_1^7 + 15/2*c_1100_1^6 + 17/4*c_1100_1^5 - 11/4*c_1100_1^4 - 5/4*c_1100_1^3 - 1/4*c_1100_1^2 - 3/2, c_0101_0 - 1/2*c_1100_1^22 + 3/2*c_1100_1^20 + 3/4*c_1100_1^19 - 15/4*c_1100_1^18 - 3/2*c_1100_1^17 + 23/4*c_1100_1^16 + 17/4*c_1100_1^15 - 27/4*c_1100_1^14 - 11/2*c_1100_1^13 + 17/4*c_1100_1^12 + 15/2*c_1100_1^11 - 3/2*c_1100_1^10 - 7*c_1100_1^9 - 6*c_1100_1^8 + 19/4*c_1100_1^7 + 23/4*c_1100_1^6 + 9/4*c_1100_1^5 - 7/2*c_1100_1^4 - 3/4*c_1100_1^2 + 1/2*c_1100_1 - 1/2, c_0101_1 - 1/2*c_1100_1^22 - c_1100_1^21 + 3/4*c_1100_1^20 + 3*c_1100_1^19 - 5/4*c_1100_1^18 - 29/4*c_1100_1^17 + 12*c_1100_1^15 + 15/4*c_1100_1^14 - 53/4*c_1100_1^13 - 29/4*c_1100_1^12 + 12*c_1100_1^11 + 12*c_1100_1^10 - 5*c_1100_1^9 - 59/4*c_1100_1^8 - 7*c_1100_1^7 + 7*c_1100_1^6 + 37/4*c_1100_1^5 + 1/2*c_1100_1^4 - 17/4*c_1100_1^3 - 5/4*c_1100_1^2 - 1/2, c_0101_10 + 1/4*c_1100_1^22 - 3/4*c_1100_1^20 + 9/4*c_1100_1^18 - 4*c_1100_1^16 + 6*c_1100_1^14 - 27/4*c_1100_1^12 - 1/2*c_1100_1^11 + 23/4*c_1100_1^10 + c_1100_1^9 - 3*c_1100_1^8 - 2*c_1100_1^7 + 3/4*c_1100_1^6 + 2*c_1100_1^5 + 3/4*c_1100_1^4 - 3/2*c_1100_1^3 - 1/4*c_1100_1^2 + 3/2*c_1100_1 - 1/2, c_0101_3 - c_1100_1^22 - 3/4*c_1100_1^21 + 3*c_1100_1^20 + 7/2*c_1100_1^19 - 7*c_1100_1^18 - 17/2*c_1100_1^17 + 21/2*c_1100_1^16 + 17*c_1100_1^15 - 21/2*c_1100_1^14 - 89/4*c_1100_1^13 + 5*c_1100_1^12 + 49/2*c_1100_1^11 + 3*c_1100_1^10 - 81/4*c_1100_1^9 - 35/2*c_1100_1^8 + 25/4*c_1100_1^7 + 17*c_1100_1^6 + 33/4*c_1100_1^5 - 13/2*c_1100_1^4 - 17/4*c_1100_1^3 - 1/2*c_1100_1^2 - 2, c_1001_0 + c_1100_1, c_1001_5 + 1/2*c_1100_1^22 + 1/4*c_1100_1^21 - 3/2*c_1100_1^20 - 3/2*c_1100_1^19 + 7/2*c_1100_1^18 + 7/2*c_1100_1^17 - 21/4*c_1100_1^16 - 15/2*c_1100_1^15 + 11/2*c_1100_1^14 + 39/4*c_1100_1^13 - 11/4*c_1100_1^12 - 11*c_1100_1^11 - 1/2*c_1100_1^10 + 37/4*c_1100_1^9 + 8*c_1100_1^8 - 13/4*c_1100_1^7 - 15/2*c_1100_1^6 - 17/4*c_1100_1^5 + 11/4*c_1100_1^4 + 5/4*c_1100_1^3 + 1/4*c_1100_1^2 + 3/2, c_1100_1^23 + 2*c_1100_1^22 - c_1100_1^21 - 6*c_1100_1^20 + c_1100_1^19 + 14*c_1100_1^18 + 4*c_1100_1^17 - 23*c_1100_1^16 - 14*c_1100_1^15 + 24*c_1100_1^14 + 23*c_1100_1^13 - 21*c_1100_1^12 - 31*c_1100_1^11 + 6*c_1100_1^10 + 34*c_1100_1^9 + 18*c_1100_1^8 - 11*c_1100_1^7 - 22*c_1100_1^6 - 5*c_1100_1^5 + 7*c_1100_1^4 + 5*c_1100_1^3 - c_1100_1^2 + 2*c_1100_1 + 2 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.550 Total time: 0.760 seconds, Total memory usage: 32.09MB