Magma V2.19-8 Tue Aug 20 2013 23:38:20 on localhost [Seed = 1798115138] Type ? for help. Type -D to quit. Loading file "K13n3602__sl2_c1.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n3602 geometric_solution 9.24221954 oriented_manifold CS_known -0.0000000000000000 1 0 torus 0.000000000000 0.000000000000 10 1 2 3 4 0132 0132 0132 0132 0 0 0 0 0 0 0 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 1 0 -1 -1 0 -1 2 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480546973369 0.789948369614 0 3 6 5 0132 1230 0132 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 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 0.137193960828 0.782357601399 4 0 6 7 3120 0132 3012 0132 0 0 0 0 0 0 0 0 1 0 -1 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 -2 0 2 0 0 0 0 0 1 1 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650167901196 0.605886034362 7 8 1 0 3120 0132 3012 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 -1 1 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.137193960828 0.782357601399 5 8 0 2 1230 0321 0132 3120 0 0 0 0 0 0 0 0 0 0 1 -1 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 -2 2 0 0 0 0 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.650167901196 0.605886034362 7 4 1 9 0213 3012 0132 0132 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 -1 1 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 -0.285299043134 1.237814740245 8 2 9 1 2310 1230 0132 0132 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 0 0 0 0 0 -2 2 0 0 0 -1 1 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327096688596 1.191027184281 5 9 2 3 0213 2031 0132 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 0 -1 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 1.176811120857 0.767122837959 9 3 6 4 1023 0132 3201 0321 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.327096688596 1.191027184281 7 8 5 6 1302 1023 0132 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 2 0 -2 -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 -0.171268926955 0.783946448504 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_5' : negation(d['c_0011_4']), 'c_1001_4' : negation(d['c_0011_6']), 'c_1001_7' : negation(d['c_0101_6']), 'c_1001_6' : negation(d['c_0011_4']), 'c_1001_1' : d['c_0101_2'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_6']), 'c_1001_9' : negation(d['c_0101_1']), 'c_1001_8' : negation(d['c_0101_6']), 's_2_8' : d['1'], 's_2_9' : d['1'], 's_2_0' : negation(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_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' : d['c_1100_1'], 'c_1100_8' : negation(d['c_0011_6']), 'c_1100_5' : d['c_1100_1'], 'c_1100_4' : negation(d['c_0101_2']), 'c_1100_7' : d['c_0011_4'], 'c_1100_6' : d['c_1100_1'], 'c_1100_1' : d['c_1100_1'], 'c_1100_0' : negation(d['c_0101_2']), 'c_1100_3' : negation(d['c_0101_2']), 'c_1100_2' : d['c_0011_4'], 'c_1010_7' : negation(d['c_0011_3']), 'c_1010_6' : d['c_0101_2'], 'c_1010_5' : negation(d['c_0101_1']), 'c_1010_4' : d['c_0011_0'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : negation(d['c_0011_4']), 'c_1010_0' : negation(d['c_0011_6']), 'c_1010_9' : negation(d['c_0011_4']), 'c_1010_8' : d['c_0011_0'], 's_3_1' : d['1'], 's_3_0' : negation(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' : negation(d['1']), 's_1_7' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : negation(d['1']), 's_1_3' : negation(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' : negation(d['1']), 'c_0011_9' : negation(d['c_0011_3']), 'c_0011_8' : negation(d['c_0011_3']), 'c_0011_5' : d['c_0011_5'], 'c_0011_4' : d['c_0011_4'], 'c_0011_7' : d['c_0011_7'], '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_0101_7' : d['c_0011_5'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_7'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : negation(d['c_0011_4']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_7'], 'c_0101_9' : negation(d['c_0011_7']), 'c_0101_8' : negation(d['c_0101_1']), 'c_0110_9' : d['c_0101_6'], 'c_0110_8' : negation(d['c_0011_4']), 'c_0110_1' : d['c_0011_7'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_7'], 'c_0110_2' : d['c_0011_5'], 'c_0110_5' : negation(d['c_0011_7']), 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0011_7'], 'c_0110_6' : d['c_0101_1']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0011_7, c_0101_1, c_0101_2, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 4 Groebner basis: [ t - 389/32*c_1100_1^3 - 911/8*c_1100_1^2 + 409/8*c_1100_1 - 1049/32, c_0011_0 - 1, c_0011_3 - 5/16*c_1100_1^3 - 11/4*c_1100_1^2 + 13/4*c_1100_1 - 9/16, c_0011_4 + 3/8*c_1100_1^3 + 7/2*c_1100_1^2 - 3/2*c_1100_1 - 1/8, c_0011_5 + 1/16*c_1100_1^3 + 3/4*c_1100_1^2 + 3/4*c_1100_1 - 11/16, c_0011_6 + 1/16*c_1100_1^3 + 3/4*c_1100_1^2 + 3/4*c_1100_1 - 11/16, c_0011_7 + 1/16*c_1100_1^3 + 3/4*c_1100_1^2 + 3/4*c_1100_1 - 11/16, c_0101_1 - 3/8*c_1100_1^3 - 7/2*c_1100_1^2 + 5/2*c_1100_1 + 1/8, c_0101_2 - 1/16*c_1100_1^3 - 3/4*c_1100_1^2 - 3/4*c_1100_1 - 5/16, c_0101_6 + 1/16*c_1100_1^3 + 3/4*c_1100_1^2 + 7/4*c_1100_1 - 11/16, c_1100_1^4 + 9*c_1100_1^3 - 8*c_1100_1^2 + c_1100_1 + 1 ], Ideal of Polynomial ring of rank 11 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_3, c_0011_4, c_0011_5, c_0011_6, c_0011_7, c_0101_1, c_0101_2, c_0101_6, c_1100_1 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 421370737/244009650*c_1100_1^9 - 4007421/1626731*c_1100_1^8 + 437286161/24400965*c_1100_1^7 - 350087399/48801930*c_1100_1^6 - 5152402699/122004825*c_1100_1^5 + 4585745932/122004825*c_1100_1^4 + 895079809/81336550*c_1100_1^3 - 1609744922/40668275*c_1100_1^2 + 262764185/9760386*c_1100_1 + 70381018/40668275, c_0011_0 - 1, c_0011_3 - c_1100_1, c_0011_4 - 56444/1626731*c_1100_1^9 + 101180/1626731*c_1100_1^8 - 601748/1626731*c_1100_1^7 + 481310/1626731*c_1100_1^6 + 1561116/1626731*c_1100_1^5 - 1372273/1626731*c_1100_1^4 + 1652321/1626731*c_1100_1^3 + 1456878/1626731*c_1100_1^2 - 2528467/1626731*c_1100_1 + 1317556/1626731, c_0011_5 - 465830/1626731*c_1100_1^9 + 377138/1626731*c_1100_1^8 - 4540699/1626731*c_1100_1^7 - 993500/1626731*c_1100_1^6 + 11578729/1626731*c_1100_1^5 - 3966519/1626731*c_1100_1^4 - 5420517/1626731*c_1100_1^3 + 7258642/1626731*c_1100_1^2 - 5637265/1626731*c_1100_1 - 2505669/1626731, c_0011_6 + 491619/1626731*c_1100_1^9 - 655658/1626731*c_1100_1^8 + 5063028/1626731*c_1100_1^7 - 1597682/1626731*c_1100_1^6 - 12077227/1626731*c_1100_1^5 + 9627972/1626731*c_1100_1^4 + 2062850/1626731*c_1100_1^3 - 10759678/1626731*c_1100_1^2 + 8067720/1626731*c_1100_1 + 279489/1626731, c_0011_7 - 275679/1626731*c_1100_1^9 + 417974/1626731*c_1100_1^8 - 2850586/1626731*c_1100_1^7 + 1332323/1626731*c_1100_1^6 + 7115474/1626731*c_1100_1^5 - 6990398/1626731*c_1100_1^4 - 2141614/1626731*c_1100_1^3 + 6131348/1626731*c_1100_1^2 - 4459748/1626731*c_1100_1 + 141326/1626731, c_0101_1 + 111640/1626731*c_1100_1^9 - 271136/1626731*c_1100_1^8 + 1252904/1626731*c_1100_1^7 - 1610694/1626731*c_1100_1^6 - 2895311/1626731*c_1100_1^5 + 4628677/1626731*c_1100_1^4 - 260541/1626731*c_1100_1^3 - 3471437/1626731*c_1100_1^2 + 4399492/1626731*c_1100_1 - 632945/1626731, c_0101_2 + 1, c_0101_6 - 111640/1626731*c_1100_1^9 + 271136/1626731*c_1100_1^8 - 1252904/1626731*c_1100_1^7 + 1610694/1626731*c_1100_1^6 + 2895311/1626731*c_1100_1^5 - 4628677/1626731*c_1100_1^4 + 260541/1626731*c_1100_1^3 + 3471437/1626731*c_1100_1^2 - 4399492/1626731*c_1100_1 + 632945/1626731, c_1100_1^10 - c_1100_1^9 + 10*c_1100_1^8 - 24*c_1100_1^6 + 11*c_1100_1^5 + 9*c_1100_1^4 - 17*c_1100_1^3 + 11*c_1100_1^2 + 4*c_1100_1 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.090 Total time: 0.300 seconds, Total memory usage: 32.09MB