Magma V2.19-8 Wed Aug 21 2013 01:09:34 on localhost [Seed = 71441797] Type ? for help. Type -D to quit. Loading file "L14n4698__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n4698 geometric_solution 12.17755534 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 1 0 1 0 0 0 0 0 1 0 -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 1 -1 0 0 0 0 0 1 -1 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.359595410324 0.838206191895 0 5 5 6 0132 0132 1302 0132 1 0 0 1 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 0 0 0 0 0 0 0 -1 1 0 0 -1 10 -9 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.156126463540 0.819918541558 7 0 8 5 0132 0132 0132 0132 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 0 0 0 0 0 0 0 -1 0 1 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 0.747807506556 0.585532644580 9 10 9 0 0132 0132 2310 0132 1 0 0 1 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 -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 0.575537145557 0.753303156862 7 11 0 12 1302 0132 0132 0132 1 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 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 0.508616556424 0.476065624346 1 1 2 11 2031 0132 0132 1230 1 1 1 0 0 0 0 0 0 0 0 0 1 -1 0 0 -1 1 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 9 -10 0 1 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.775887057092 1.176958429256 9 10 1 7 2103 0213 0132 1302 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292471581654 1.073582184769 2 4 6 11 0132 2031 2031 3012 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 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 0.676517559493 0.407550989424 8 11 8 2 2031 0321 1302 0132 1 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.322602046733 0.646860840711 3 3 6 12 0132 3201 2103 3120 1 0 1 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.567741233708 1.007582310576 12 3 6 12 3201 0132 0213 0321 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 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 0.359595410324 0.838206191895 5 4 7 8 3012 0132 1230 0321 1 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 0 0 0 0 0 0 0 0 0 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 0.368357890762 0.443266963127 9 10 4 10 3120 0321 0132 2310 1 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 0 0 0 0 0 0 0 0 0 0 1 0 0 -1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.575537145557 0.753303156862 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_1001_11'], 'c_1001_10' : d['c_1001_0'], 'c_1001_12' : d['c_1001_11'], 'c_1001_5' : d['c_1001_0'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : negation(d['c_0101_12']), 'c_1001_6' : d['c_1001_0'], 'c_1001_1' : d['c_0011_11'], 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_0011_12'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0011_6'], 'c_1001_8' : d['c_0101_2'], 'c_1010_12' : d['c_0011_12'], 'c_1010_11' : d['c_1001_2'], 'c_1010_10' : d['c_0011_12'], 's_0_10' : negation(d['1']), 's_3_10' : d['1'], 's_0_12' : d['1'], 's_3_12' : negation(d['1']), 's_2_8' : d['1'], 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0011_11'], 'c_0101_10' : d['c_0011_6'], '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_2_12' : negation(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_1100_9' : negation(d['c_0101_12']), 'c_1100_8' : negation(d['c_0011_8']), 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_0011_8']), 'c_1100_4' : d['c_0011_10'], 'c_1100_7' : negation(d['c_1001_11']), 'c_1100_6' : d['c_0101_5'], 'c_1100_1' : d['c_0101_5'], 'c_1100_0' : d['c_0011_10'], 'c_1100_3' : d['c_0011_10'], 'c_1100_2' : negation(d['c_0011_8']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_2'], 'c_1100_10' : d['c_1001_11'], 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_11']), 'c_1010_6' : d['c_1001_11'], 'c_1010_5' : d['c_0011_11'], 'c_1010_4' : d['c_1001_11'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : d['c_1001_0'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : negation(d['c_0011_12']), 'c_1010_8' : d['c_1001_2'], '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' : negation(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_0011_10'], 's_1_7' : 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_1_9' : d['1'], 's_1_8' : d['1'], 'c_0011_9' : d['c_0011_10'], 'c_0011_8' : d['c_0011_8'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_11']), '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' : negation(d['c_0011_8']), 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : negation(d['c_0011_6']), 'c_0110_0' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_5'], 'c_0101_6' : d['c_0101_0'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : negation(d['c_0011_0']), 'c_0101_3' : negation(d['c_0011_6']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : negation(d['c_0011_0']), 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_0'], 'c_0101_8' : negation(d['c_0011_8']), 'c_0011_10' : d['c_0011_10'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : negation(d['1']), 'c_0110_9' : negation(d['c_0011_6']), 'c_0110_8' : d['c_0101_2'], 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_5'], 'c_0110_5' : d['c_0011_11'], 'c_0110_4' : d['c_0101_12'], 'c_0110_7' : d['c_0101_2'], 'c_0110_6' : d['c_0101_12'], 's_2_9' : d['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_6, c_0011_8, c_0101_0, c_0101_12, c_0101_2, c_0101_5, c_1001_0, c_1001_11, c_1001_2 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 11 Groebner basis: [ t - 11264975021725562047/5452733497828255558533120*c_1001_2^10 + 29792856653993348057/2726366748914127779266560*c_1001_2^9 - 43123527052049199699/363515566521883703902208*c_1001_2^8 - 241563010059145163611/1363183374457063889633280*c_1001_2^7 - 1672094642785373475023/2726366748914127779266560*c_1001_2^6 + 536889736496735856513/1817577832609418519511040*c_1001_2^5 - 9433552816746234037883/1817577832609418519511040*c_1001_2^4 + 6606744511205359562207/2726366748914127779266560*c_1001_2^3 - 90405138937718257262497/5452733497828255558533120*c_1001_2^2 + 268053127746277522282703/5452733497828255558533120*c_1001_2 - 63129533635659788728675/1090546699565651111706624, c_0011_0 - 1, c_0011_10 + 54728149933775/213338744249715778*c_1001_2^10 + 111038233553965/213338744249715778*c_1001_2^9 + 112263286523041/213338744249715778*c_1001_2^8 + 46785248314477/106669372124857889*c_1001_2^7 + 1812143192484711/213338744249715778*c_1001_2^6 + 2810298947415940/106669372124857889*c_1001_2^5 + 867475728648707/106669372124857889*c_1001_2^4 - 589052338802808/106669372124857889*c_1001_2^3 + 28076381148227881/213338744249715778*c_1001_2^2 + 114920625295760761/106669372124857889*c_1001_2 + 13632953526926821/106669372124857889, c_0011_11 - 54371269216436/106669372124857889*c_1001_2^10 - 91988562942539/106669372124857889*c_1001_2^9 - 169584933036783/106669372124857889*c_1001_2^8 - 335866299307953/106669372124857889*c_1001_2^7 - 1754752961483926/106669372124857889*c_1001_2^6 - 3943332797098749/106669372124857889*c_1001_2^5 - 3406186741158034/106669372124857889*c_1001_2^4 - 18486582870541711/106669372124857889*c_1001_2^3 - 24387828679890204/106669372124857889*c_1001_2^2 - 95465986323556224/106669372124857889*c_1001_2 - 59467447209322084/106669372124857889, c_0011_12 - 2, c_0011_6 - 54728149933775/213338744249715778*c_1001_2^10 - 111038233553965/213338744249715778*c_1001_2^9 - 112263286523041/213338744249715778*c_1001_2^8 - 46785248314477/106669372124857889*c_1001_2^7 - 1812143192484711/213338744249715778*c_1001_2^6 - 2810298947415940/106669372124857889*c_1001_2^5 - 867475728648707/106669372124857889*c_1001_2^4 + 589052338802808/106669372124857889*c_1001_2^3 - 28076381148227881/213338744249715778*c_1001_2^2 - 114920625295760761/106669372124857889*c_1001_2 - 13632953526926821/106669372124857889, c_0011_8 + 842579902/1982002120531*c_1001_2^10 + 1765594231/1982002120531*c_1001_2^9 + 1535781315/1982002120531*c_1001_2^8 + 8748021655/1982002120531*c_1001_2^7 + 35527744671/1982002120531*c_1001_2^6 + 78508707943/1982002120531*c_1001_2^5 + 145906855736/1982002120531*c_1001_2^4 + 237479446752/1982002120531*c_1001_2^3 + 690483259413/1982002120531*c_1001_2^2 + 1177201113127/1982002120531*c_1001_2 + 4178233636576/1982002120531, c_0101_0 - 1, c_0101_12 + 54728149933775/213338744249715778*c_1001_2^10 + 111038233553965/213338744249715778*c_1001_2^9 + 112263286523041/213338744249715778*c_1001_2^8 + 46785248314477/106669372124857889*c_1001_2^7 + 1812143192484711/213338744249715778*c_1001_2^6 + 2810298947415940/106669372124857889*c_1001_2^5 + 867475728648707/106669372124857889*c_1001_2^4 - 589052338802808/106669372124857889*c_1001_2^3 + 28076381148227881/213338744249715778*c_1001_2^2 + 8251253170902872/106669372124857889*c_1001_2 + 13632953526926821/106669372124857889, c_0101_2 + 1713317997/1982002120531*c_1001_2^10 + 2718996789/1982002120531*c_1001_2^9 + 9042541151/1982002120531*c_1001_2^8 + 17091611266/1982002120531*c_1001_2^7 + 56668684471/1982002120531*c_1001_2^6 + 138259460847/1982002120531*c_1001_2^5 + 220751887968/1982002120531*c_1001_2^4 + 612681384589/1982002120531*c_1001_2^3 + 688828009939/1982002120531*c_1001_2^2 + 2156149655285/1982002120531*c_1001_2 + 3723671651504/1982002120531, c_0101_5 - 163470688366647/213338744249715778*c_1001_2^10 - 295015359439043/213338744249715778*c_1001_2^9 - 451433152596607/213338744249715778*c_1001_2^8 - 382651547622430/106669372124857889*c_1001_2^7 - 5321649115452563/213338744249715778*c_1001_2^6 - 6753631744514689/106669372124857889*c_1001_2^5 - 4273662469806741/106669372124857889*c_1001_2^4 - 17897530531738903/106669372124857889*c_1001_2^3 - 76852038508008289/213338744249715778*c_1001_2^2 - 103717239494459096/106669372124857889*c_1001_2 - 73100400736248905/106669372124857889, c_1001_0 - 54728149933775/213338744249715778*c_1001_2^10 - 111038233553965/213338744249715778*c_1001_2^9 - 112263286523041/213338744249715778*c_1001_2^8 - 46785248314477/106669372124857889*c_1001_2^7 - 1812143192484711/213338744249715778*c_1001_2^6 - 2810298947415940/106669372124857889*c_1001_2^5 - 867475728648707/106669372124857889*c_1001_2^4 + 589052338802808/106669372124857889*c_1001_2^3 - 28076381148227881/213338744249715778*c_1001_2^2 - 8251253170902872/106669372124857889*c_1001_2 - 13632953526926821/106669372124857889, c_1001_11 + 1581933686415/106669372124857889*c_1001_2^10 - 51921163278284/106669372124857889*c_1001_2^9 - 125342103106146/106669372124857889*c_1001_2^8 - 48613905263639/106669372124857889*c_1001_2^7 + 202511051388155/106669372124857889*c_1001_2^6 - 1712921988530411/106669372124857889*c_1001_2^5 - 7198201170320866/106669372124857889*c_1001_2^4 + 110296532068856/106669372124857889*c_1001_2^3 + 21651160339511008/106669372124857889*c_1001_2^2 - 28830446628265733/106669372124857889*c_1001_2 - 255925660706053556/106669372124857889, c_1001_2^11 + 2*c_1001_2^10 + 3*c_1001_2^9 + 4*c_1001_2^8 + 34*c_1001_2^7 + 99*c_1001_2^6 + 63*c_1001_2^5 + 110*c_1001_2^4 + 511*c_1001_2^3 + 1855*c_1001_2^2 + 1025*c_1001_2 - 3120 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.160 Total time: 0.370 seconds, Total memory usage: 32.09MB