Magma V2.19-8 Tue Aug 20 2013 23:44:42 on localhost [Seed = 1326000882] Type ? for help. Type -D to quit. Loading file "K13n2063__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K13n2063 geometric_solution 11.01115857 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 12 1 2 3 1 0132 0132 0132 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 -1 0 1 1 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 0.167232011824 1.115595306533 0 0 5 4 0132 1302 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 0 1 0 -1 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.868581958444 0.876682333453 6 0 7 3 0132 0132 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 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.390280144663 1.035778258929 8 2 6 0 0132 2310 1023 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 0.430941791416 1.241810016578 5 9 1 10 2103 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 -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 1.032963301178 1.204717150991 10 10 4 1 0213 2310 2103 0132 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 3 -4 0 1 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.464509436359 0.486105145271 2 11 3 9 0132 0132 1023 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.748123729969 0.479398555758 8 11 11 2 1023 2031 3120 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 0.307495761593 0.620019433883 3 7 10 9 0132 1023 0213 2310 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.292237925759 0.471862522117 8 4 11 6 3201 0132 1230 0213 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.344455801769 0.918821873288 5 8 4 5 0213 0213 0132 3201 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 -3 0 -1 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 1.023787872556 0.929369416208 7 6 7 9 1302 0132 3120 3012 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 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 0.763092341904 0.557590319027 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_2'], 'c_1001_11' : d['c_0110_11'], 'c_1001_10' : d['c_0101_7'], 'c_1001_5' : d['c_0011_4'], 'c_1001_4' : d['c_1001_4'], 'c_1001_7' : negation(d['c_0110_11']), 'c_1001_6' : d['c_0101_3'], 'c_1001_1' : d['c_0101_1'], 'c_1001_0' : negation(d['c_0101_6']), 'c_1001_3' : d['c_0101_6'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : d['c_0101_7'], 'c_1001_8' : d['c_0101_7'], 'c_1010_11' : d['c_0101_3'], 'c_1010_10' : negation(d['c_0011_4']), '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_0011_3'], 'c_0101_10' : d['c_0011_5'], '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' : d['c_0110_11'], 'c_1100_8' : negation(d['c_0011_4']), 'c_1100_5' : negation(d['c_0011_5']), 'c_1100_4' : negation(d['c_0011_5']), 'c_1100_7' : negation(d['c_0011_3']), 'c_1100_6' : d['c_1001_4'], 'c_1100_1' : negation(d['c_0011_5']), 'c_1100_0' : negation(d['c_1001_4']), 'c_1100_3' : negation(d['c_1001_4']), 'c_1100_2' : negation(d['c_0011_3']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0101_7']), 'c_1100_10' : negation(d['c_0011_5']), 's_0_11' : d['1'], 'c_1010_7' : negation(d['c_0011_0']), 'c_1010_6' : d['c_0110_11'], 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_7'], 'c_1010_3' : negation(d['c_0101_6']), 'c_1010_2' : negation(d['c_0101_6']), 'c_1010_1' : d['c_1001_4'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : d['c_1001_4'], 'c_1010_8' : d['c_0101_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' : negation(d['c_0011_4']), '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' : negation(d['c_0011_3']), 'c_0011_6' : d['c_0011_0'], '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' : d['c_0110_11'], 'c_0110_10' : negation(d['c_0101_1']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_7'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0011_10'], 'c_0101_3' : d['c_0101_3'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : negation(d['c_0101_3']), 'c_0101_8' : d['c_0011_10'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0101_2']), 'c_0110_8' : d['c_0101_3'], 'c_0110_1' : d['c_0011_10'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0011_10'], 'c_0110_2' : d['c_0101_6'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0011_5'], 'c_0110_7' : d['c_0101_2'], 'c_0011_10' : d['c_0011_10']})} 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_3, c_0011_4, c_0011_5, c_0101_1, c_0101_2, c_0101_3, c_0101_6, c_0101_7, c_0110_11, c_1001_4 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 12 Groebner basis: [ t - 6975623609465/3988146086336*c_1001_4^11 + 6527037428863/3988146086336*c_1001_4^10 + 916167867771/1994073043168*c_1001_4^9 + 1929294333689/234596828608*c_1001_4^8 + 24153203635893/3988146086336*c_1001_4^7 - 26833283662329/3988146086336*c_1001_4^6 - 148578342665575/3988146086336*c_1001_4^5 - 2313750656975/498518260792*c_1001_4^4 - 284107311326/3665575447*c_1001_4^3 - 11341354981333/3988146086336*c_1001_4^2 - 1404554818327/29324603576*c_1001_4 - 63323915006983/997036521584, c_0011_0 - 1, c_0011_10 - 11177563/157765184*c_1001_4^11 + 10483305/157765184*c_1001_4^10 + 1961091/78882592*c_1001_4^9 + 55861899/157765184*c_1001_4^8 + 29130979/157765184*c_1001_4^7 - 44561071/157765184*c_1001_4^6 - 260056481/157765184*c_1001_4^5 - 6139915/39441296*c_1001_4^4 - 56360075/19720648*c_1001_4^3 + 88208737/157765184*c_1001_4^2 - 122044611/39441296*c_1001_4 - 39065103/39441296, c_0011_3 + 2476059/157765184*c_1001_4^11 - 4272113/157765184*c_1001_4^10 + 3479201/78882592*c_1001_4^9 - 17809931/157765184*c_1001_4^8 - 1799963/157765184*c_1001_4^7 - 7459289/157765184*c_1001_4^6 + 30913097/157765184*c_1001_4^5 + 2561169/39441296*c_1001_4^4 + 28514497/19720648*c_1001_4^3 - 135125665/157765184*c_1001_4^2 + 61840297/39441296*c_1001_4 - 5629269/39441296, c_0011_4 - 10734061/157765184*c_1001_4^11 + 12999599/157765184*c_1001_4^10 + 3687893/78882592*c_1001_4^9 + 35954941/157765184*c_1001_4^8 + 10265381/157765184*c_1001_4^7 - 54682489/157765184*c_1001_4^6 - 205000695/157765184*c_1001_4^5 + 27499875/39441296*c_1001_4^4 - 44970029/19720648*c_1001_4^3 - 65851625/157765184*c_1001_4^2 - 87270629/39441296*c_1001_4 - 31451369/39441296, c_0011_5 - 3825795/157765184*c_1001_4^11 + 12255753/157765184*c_1001_4^10 - 4088521/78882592*c_1001_4^9 + 6392531/157765184*c_1001_4^8 - 17159965/157765184*c_1001_4^7 - 24157903/157765184*c_1001_4^6 - 18516897/157765184*c_1001_4^5 + 46701775/39441296*c_1001_4^4 - 26701025/19720648*c_1001_4^3 + 177292697/157765184*c_1001_4^2 - 16993569/39441296*c_1001_4 - 18880835/39441296, c_0101_1 + 1200245/78882592*c_1001_4^11 + 1742549/78882592*c_1001_4^10 - 2665867/39441296*c_1001_4^9 - 4817253/78882592*c_1001_4^8 - 13480665/78882592*c_1001_4^7 + 3201165/78882592*c_1001_4^6 + 40630291/78882592*c_1001_4^5 + 3410489/4930162*c_1001_4^4 + 559751/4930162*c_1001_4^3 + 127248705/78882592*c_1001_4^2 + 1371641/4930162*c_1001_4 + 11696815/19720648, c_0101_2 + 2476059/157765184*c_1001_4^11 - 4272113/157765184*c_1001_4^10 + 3479201/78882592*c_1001_4^9 - 17809931/157765184*c_1001_4^8 - 1799963/157765184*c_1001_4^7 - 7459289/157765184*c_1001_4^6 + 30913097/157765184*c_1001_4^5 + 2561169/39441296*c_1001_4^4 + 28514497/19720648*c_1001_4^3 - 135125665/157765184*c_1001_4^2 + 61840297/39441296*c_1001_4 - 5629269/39441296, c_0101_3 + 12973617/157765184*c_1001_4^11 - 17441707/157765184*c_1001_4^10 + 753727/78882592*c_1001_4^9 - 61490113/157765184*c_1001_4^8 - 14243513/157765184*c_1001_4^7 + 65645213/157765184*c_1001_4^6 + 254763923/157765184*c_1001_4^5 - 21176371/39441296*c_1001_4^4 + 72322261/19720648*c_1001_4^3 - 241479683/157765184*c_1001_4^2 + 105564997/39441296*c_1001_4 + 44017221/39441296, c_0101_6 + 11593829/157765184*c_1001_4^11 - 16347703/157765184*c_1001_4^10 + 4422659/78882592*c_1001_4^9 - 60304501/157765184*c_1001_4^8 - 12971837/157765184*c_1001_4^7 + 30409393/157765184*c_1001_4^6 + 205151807/157765184*c_1001_4^5 - 13672819/39441296*c_1001_4^4 + 78863237/19720648*c_1001_4^3 - 195535807/157765184*c_1001_4^2 + 154846981/39441296*c_1001_4 + 57117649/39441296, c_0101_7 - 4848473/157765184*c_1001_4^11 + 2336131/157765184*c_1001_4^10 + 4871865/78882592*c_1001_4^9 + 16195081/157765184*c_1001_4^8 + 9466241/157765184*c_1001_4^7 - 23832197/157765184*c_1001_4^6 - 100666027/157765184*c_1001_4^5 + 3172003/39441296*c_1001_4^4 - 12257669/19720648*c_1001_4^3 - 270942917/157765184*c_1001_4^2 - 41239133/39441296*c_1001_4 + 3188947/39441296, c_0110_11 + 4630825/78882592*c_1001_4^11 - 6537131/78882592*c_1001_4^10 - 638501/39441296*c_1001_4^9 - 20868777/78882592*c_1001_4^8 + 1954039/78882592*c_1001_4^7 + 31220429/78882592*c_1001_4^6 + 91551075/78882592*c_1001_4^5 - 13341269/19720648*c_1001_4^4 + 18062145/9860324*c_1001_4^3 - 95087755/78882592*c_1001_4^2 + 41671543/19720648*c_1001_4 + 6182281/19720648, c_1001_4^12 - c_1001_4^11 - 5*c_1001_4^9 - 3*c_1001_4^8 + 3*c_1001_4^7 + 21*c_1001_4^6 + 2*c_1001_4^5 + 48*c_1001_4^4 - 3*c_1001_4^3 + 38*c_1001_4^2 + 28*c_1001_4 + 8 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 2.990 Total time: 3.200 seconds, Total memory usage: 32.09MB