Magma V2.19-8 Tue Aug 20 2013 23:50:59 on localhost [Seed = 3296899017] Type ? for help. Type -D to quit. Loading file "L13a4960__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L13a4960 geometric_solution 10.26543227 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 12 1 1 2 3 0132 1302 0132 0132 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 1 0 -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 0.282894104593 0.687507804199 0 4 5 0 0132 0132 0132 2031 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 0 0 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 0.726618901925 0.696628167404 6 6 3 0 0132 1230 3012 0132 0 0 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 0 0 0 0 0 0 4 -3 0 -1 4 -5 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.665398884751 0.482182993062 7 2 0 5 0132 1230 0132 0132 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 0 1 -1 5 0 0 -5 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.825147874252 1.703524657218 8 1 8 9 0132 0132 3012 0132 0 0 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 0 0 0 0 0 0 0 1 0 -1 0 0 -4 4 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.709225929393 0.660361825809 9 10 3 1 3120 0132 0132 0132 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 1 -1 -4 0 5 -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 0.275952898616 0.902090908811 2 8 2 7 0132 1302 3012 3201 0 0 0 1 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 0 -5 5 0 0 0 0 0 -4 4 0 0 -4 1 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.014597764702 0.714074234380 3 6 8 9 0132 2310 3120 3120 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 -5 0 5 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.489189855522 0.912842715933 4 4 7 6 0132 1230 3120 2031 0 0 1 0 0 -1 0 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 0 0 0 0 0 4 0 -4 0 0 -5 5 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.558507150854 1.268396460163 7 10 4 5 3120 1302 0132 3120 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 1 -1 0 0 -4 4 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.101641271521 0.565103067741 11 5 11 9 0132 0132 2310 2031 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.071756749000 1.144318832689 10 10 11 11 0132 3201 2031 1302 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.449254887157 0.111919966311 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : negation(d['c_0101_10']), 'c_1001_10' : d['c_0101_11'], 'c_1001_5' : d['c_0011_9'], 'c_1001_4' : d['c_0011_0'], 'c_1001_7' : negation(d['c_0101_5']), 'c_1001_6' : negation(d['c_0011_2']), 'c_1001_1' : d['c_0101_11'], 'c_1001_0' : d['c_0101_0'], 'c_1001_3' : d['c_1001_3'], 'c_1001_2' : negation(d['c_0011_3']), 'c_1001_9' : d['c_0101_11'], 'c_1001_8' : d['c_0101_5'], 'c_1010_11' : negation(d['c_0101_11']), 'c_1010_10' : d['c_0011_9'], 's_0_10' : d['1'], 's_3_10' : 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'], '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_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_5']), 'c_1100_8' : negation(d['c_0101_5']), 'c_1100_5' : negation(d['c_1001_3']), 'c_1100_4' : negation(d['c_0101_5']), 'c_1100_7' : negation(d['c_0101_8']), 'c_1100_6' : d['c_0011_3'], 'c_1100_1' : negation(d['c_1001_3']), 'c_1100_0' : negation(d['c_1001_3']), 'c_1100_3' : negation(d['c_1001_3']), 'c_1100_2' : negation(d['c_1001_3']), 's_3_11' : d['1'], 'c_1100_11' : d['c_0101_11'], 'c_1100_10' : negation(d['c_0011_10']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_9']), 'c_1010_6' : d['c_0101_5'], 'c_1010_5' : d['c_0101_11'], 'c_1010_4' : d['c_0101_11'], 'c_1010_3' : d['c_0011_9'], 'c_1010_2' : d['c_0101_0'], 'c_1010_1' : d['c_0011_0'], 'c_1010_0' : d['c_1001_3'], 'c_1010_9' : d['c_0011_10'], 'c_1010_8' : negation(d['c_0011_2']), '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'], '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' : d['c_0011_9'], 'c_0011_8' : negation(d['c_0011_0']), 'c_0011_5' : negation(d['c_0011_10']), 'c_0011_4' : d['c_0011_0'], 'c_0011_7' : negation(d['c_0011_3']), 'c_0011_6' : negation(d['c_0011_2']), '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' : d['c_0011_2'], 'c_0110_11' : d['c_0101_10'], 'c_0110_10' : d['c_0101_11'], 'c_0110_0' : d['c_0101_1'], '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_2']), 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0011_9'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_8'], 'c_0101_8' : d['c_0101_8'], 'c_0011_10' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_1'], 'c_0110_8' : negation(d['c_0011_2']), 'c_0110_1' : d['c_0101_0'], 'c_0011_11' : negation(d['c_0011_10']), 'c_0110_3' : d['c_0101_5'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_8'], 'c_0110_7' : d['c_0101_1'], 'c_0110_6' : d['c_0011_9']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 13 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_2, c_0011_3, c_0011_9, c_0101_0, c_0101_1, c_0101_10, c_0101_11, c_0101_5, c_0101_8, c_1001_3 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 13 Groebner basis: [ t + 86677593649914359/10710976000*c_1001_3^12 - 172072131368487179/2677744000*c_1001_3^11 + 1306683690495511651/5355488000*c_1001_3^10 - 1550040712186715959/2677744000*c_1001_3^9 + 10260129297839431709/10710976000*c_1001_3^8 - 3121304465988727723/2677744000*c_1001_3^7 + 179277163880155589/167359000*c_1001_3^6 - 2003176518747357739/2677744000*c_1001_3^5 + 65816819093873773/167359000*c_1001_3^4 - 808539205748718301/5355488000*c_1001_3^3 + 106189268054302479/2677744000*c_1001_3^2 - 33650245344803433/5355488000*c_1001_3 + 4781758830359277/10710976000, c_0011_0 - 1, c_0011_10 + 262721*c_1001_3^12 - 2096252*c_1001_3^11 + 7997000*c_1001_3^10 - 19066177*c_1001_3^9 + 31711047*c_1001_3^8 - 38794323*c_1001_3^7 + 35854794*c_1001_3^6 - 25197944*c_1001_3^5 + 13342072*c_1001_3^4 - 5166187*c_1001_3^3 + 1371832*c_1001_3^2 - 220356*c_1001_3 + 15915, c_0011_2 + 2352193/2*c_1001_3^12 - 9320730*c_1001_3^11 + 35321563*c_1001_3^10 - 83632050*c_1001_3^9 + 276223321/2*c_1001_3^8 - 167701393*c_1001_3^7 + 153761773*c_1001_3^6 - 107106803*c_1001_3^5 + 56143653*c_1001_3^4 - 21479106*c_1001_3^3 + 5617414*c_1001_3^2 - 885226*c_1001_3 + 124987/2, c_0011_3 - 1542724*c_1001_3^12 + 12232618*c_1001_3^11 - 46379294*c_1001_3^10 + 109868857*c_1001_3^9 - 181530748*c_1001_3^8 + 220536410*c_1001_3^7 - 202313220*c_1001_3^6 + 141008156*c_1001_3^5 - 73961234*c_1001_3^4 + 28316505*c_1001_3^3 - 7412154*c_1001_3^2 + 1169251*c_1001_3 - 82636, c_0011_9 + 787527*c_1001_3^12 - 6246176*c_1001_3^11 + 23688070*c_1001_3^10 - 56129422*c_1001_3^9 + 92762975*c_1001_3^8 - 112723378*c_1001_3^7 + 103435294*c_1001_3^6 - 72111706*c_1001_3^5 + 37834710*c_1001_3^4 - 14489904*c_1001_3^3 + 3794279*c_1001_3^2 - 598770*c_1001_3 + 42333, c_0101_0 - 53/2*c_1001_3^12 + 193*c_1001_3^11 - 678*c_1001_3^10 + 1491*c_1001_3^9 - 4589/2*c_1001_3^8 + 2596*c_1001_3^7 - 2218*c_1001_3^6 + 1432*c_1001_3^5 - 694*c_1001_3^4 + 241*c_1001_3^3 - 58*c_1001_3^2 + 7*c_1001_3 - 1/2, c_0101_1 - 1, c_0101_10 - 18921*c_1001_3^12 + 152960*c_1001_3^11 - 591308*c_1001_3^10 + 1429760*c_1001_3^9 - 2413572*c_1001_3^8 + 3000252*c_1001_3^7 - 2821688*c_1001_3^6 + 2022532*c_1001_3^5 - 1095791*c_1001_3^4 + 436370*c_1001_3^3 - 120188*c_1001_3^2 + 20274*c_1001_3 - 1560, c_0101_11 - 53*c_1001_3^12 + 439*c_1001_3^11 - 1742*c_1001_3^10 + 4338*c_1001_3^9 - 7571*c_1001_3^8 + 9781*c_1001_3^7 - 9628*c_1001_3^6 + 7300*c_1001_3^5 - 4252*c_1001_3^4 + 1870*c_1001_3^3 - 598*c_1001_3^2 + 129*c_1001_3 - 15, c_0101_5 + 700925*c_1001_3^12 - 5564042*c_1001_3^11 + 21118616*c_1001_3^10 - 50083627*c_1001_3^9 + 82842973*c_1001_3^8 - 100759688*c_1001_3^7 + 92545526*c_1001_3^6 - 64587450*c_1001_3^5 + 33926976*c_1001_3^4 - 13011495*c_1001_3^3 + 3413076*c_1001_3^2 - 539760*c_1001_3 + 38255, c_0101_8 - 679937*c_1001_3^12 + 5387336*c_1001_3^11 - 20411544*c_1001_3^10 + 48320128*c_1001_3^9 - 79783832*c_1001_3^8 + 96863150*c_1001_3^7 - 88800800*c_1001_3^6 + 61850074*c_1001_3^5 - 32418406*c_1001_3^4 + 12401990*c_1001_3^3 - 3243642*c_1001_3^2 + 511274*c_1001_3 - 36112, c_1001_3^13 - 439/53*c_1001_3^12 + 1742/53*c_1001_3^11 - 4338/53*c_1001_3^10 + 7571/53*c_1001_3^9 - 9781/53*c_1001_3^8 + 9628/53*c_1001_3^7 - 7300/53*c_1001_3^6 + 4252/53*c_1001_3^5 - 1870/53*c_1001_3^4 + 598/53*c_1001_3^3 - 130/53*c_1001_3^2 + 17/53*c_1001_3 - 1/53 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.130 Total time: 0.330 seconds, Total memory usage: 32.09MB