Magma V2.19-8 Wed Aug 21 2013 00:52:35 on localhost [Seed = 593835672] Type ? for help. Type -D to quit. Loading file "L12a897__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation L12a897 geometric_solution 11.85366669 oriented_manifold CS_known 0.0000000000000004 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 1 3 0132 0132 2310 0132 1 1 1 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 1 -1 0 1 0 -1 0 0 0 0 0 1 -2 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.669304283139 0.458855276423 0 0 2 3 0132 3201 2103 2103 1 1 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 0 0 0 0 0 0 0 0 -1 0 1 -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 1.033721885721 1.434335908912 1 0 5 4 2103 0132 0132 0132 1 1 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 0 0 0 -1 1 0 -1 0 0 1 0 2 0 -2 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.468881982603 0.719631781514 5 4 0 1 0132 0132 0132 2103 1 1 1 1 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 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 0.468881982603 0.719631781514 6 3 2 7 0132 0132 0132 0132 1 1 1 1 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 -2 0 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.170098554738 0.597134047054 3 8 9 2 0132 0132 0132 0132 1 1 1 1 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 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 0.170098554738 0.597134047054 4 10 9 11 0132 0132 2310 0132 1 1 1 1 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 0 0 2 -1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.826458533334 1.441445377085 12 8 4 12 0132 0213 0132 2031 1 1 0 1 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 1 0 -1 0 -2 -1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.913304074179 0.991727033092 10 5 7 10 0132 0132 0213 2103 1 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 0 0 0 -1 0 1 -1 0 1 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 0.913304074179 0.991727033092 11 6 12 5 0132 3201 2031 0132 1 1 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 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 0.826458533334 1.441445377085 8 6 12 8 0132 0132 0321 2103 1 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 0 0 0 0 1 -1 1 0 -1 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 0.913304074179 0.991727033092 9 11 6 11 0132 2310 0132 3201 1 1 1 1 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 -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 -0.299354892648 0.522111768118 7 7 10 9 0132 1302 0321 1302 1 1 1 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 0 0 -1 1 -1 0 1 0 0 0 0 0 2 -3 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.497534914901 0.545610407492 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_9'], 'c_1001_10' : d['c_0101_9'], 'c_1001_12' : negation(d['c_0101_10']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : d['c_1001_0'], 'c_1001_7' : d['c_1001_2'], 'c_1001_6' : negation(d['c_1001_5']), 'c_1001_1' : negation(d['c_0011_0']), 'c_1001_0' : d['c_1001_0'], 'c_1001_3' : d['c_1001_2'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : negation(d['c_0101_6']), 'c_1001_8' : d['c_1001_2'], 'c_1010_12' : d['c_1010_12'], 'c_1010_11' : negation(d['c_0101_9']), 'c_1010_10' : negation(d['c_1001_5']), 's_0_10' : d['1'], 's_3_10' : 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_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_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' : 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_1010_12']), 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : d['c_0011_12'], 'c_1100_5' : negation(d['c_1010_12']), 'c_1100_4' : negation(d['c_1010_12']), 'c_1100_7' : negation(d['c_1010_12']), 'c_1100_6' : negation(d['c_0011_11']), 'c_1100_1' : negation(d['c_0101_11']), 'c_1100_0' : negation(d['c_0011_0']), 'c_1100_3' : negation(d['c_0011_0']), 'c_1100_2' : negation(d['c_1010_12']), 's_3_11' : d['1'], 'c_1100_11' : negation(d['c_0011_11']), 'c_1100_10' : negation(d['c_0101_10']), 's_0_11' : d['1'], 'c_1010_7' : d['c_0011_12'], 'c_1010_6' : d['c_0101_9'], 'c_1010_5' : d['c_1001_2'], 'c_1010_4' : d['c_1001_2'], 'c_1010_3' : d['c_1001_0'], 'c_1010_2' : d['c_1001_0'], 'c_1010_1' : negation(d['c_1001_0']), 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_1001_5'], 'c_1010_8' : d['c_1001_5'], 'c_1100_8' : d['c_0011_12'], '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_9'], '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_11']), 'c_0011_8' : negation(d['c_0011_10']), 'c_0011_5' : d['c_0011_10'], 'c_0011_4' : d['c_0011_10'], 'c_0011_7' : negation(d['c_0011_12']), 'c_0011_6' : negation(d['c_0011_10']), '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_9'], 'c_0110_10' : negation(d['c_0011_12']), 'c_0110_12' : d['c_0101_6'], 'c_0101_12' : negation(d['c_0101_10']), 'c_0110_0' : d['c_0101_1'], 'c_0101_7' : d['c_0101_6'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_11'], 'c_0101_4' : d['c_0101_11'], 'c_0101_3' : d['c_0101_1'], 'c_0101_2' : d['c_0101_1'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : negation(d['c_0011_12']), 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : d['c_0101_11'], 'c_0110_8' : d['c_0101_10'], 'c_0110_1' : d['c_0011_0'], 'c_0011_11' : d['c_0011_11'], 'c_0110_3' : d['c_0101_11'], 'c_0110_2' : d['c_0101_11'], 'c_0110_5' : d['c_0101_1'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : negation(d['c_0101_10']), 'c_0110_6' : d['c_0101_11']})} 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_0101_1, c_0101_10, c_0101_11, c_0101_6, c_0101_9, c_1001_0, c_1001_2, c_1001_5, c_1010_12 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 21 Groebner basis: [ t - 31071532801028479/150476171224314*c_1010_12^20 + 127859981756606243/75238085612157*c_1010_12^19 - 174289629746314746/25079361870719*c_1010_12^18 + 1429940840220960382/75238085612157*c_1010_12^17 - 6370137847787204327/150476171224314*c_1010_12^16 + 6400702842494358548/75238085612157*c_1010_12^15 - 23293581617327251379/150476171224314*c_1010_12^14 + 6192470210120785596/25079361870719*c_1010_12^13 - 4045810447940473709/11575090094178*c_1010_12^12 + 33735102877209442637/75238085612157*c_1010_12^11 - 39366862025793153523/75238085612157*c_1010_12^10 + 27644729794973527247/50158723741438*c_1010_12^9 - 39745728055771342510/75238085612157*c_1010_12^8 + 34700183007485731796/75238085612157*c_1010_12^7 - 27483567901751778422/75238085612157*c_1010_12^6 + 6504106212148338672/25079361870719*c_1010_12^5 - 8207756271005577811/50158723741438*c_1010_12^4 + 4464893565253334073/50158723741438*c_1010_12^3 - 2132431514379824543/50158723741438*c_1010_12^2 + 2288181599227006823/150476171224314*c_1010_12 - 89268855960535324/25079361870719, c_0011_0 - 1, c_0011_10 - c_1010_12, c_0011_11 + 12251225177/34245828681*c_1010_12^20 - 103145750159/34245828681*c_1010_12^19 + 142258552812/11415276227*c_1010_12^18 - 1168606082017/34245828681*c_1010_12^17 + 5164801646939/68491657362*c_1010_12^16 - 10324434108277/68491657362*c_1010_12^15 + 18774666776051/68491657362*c_1010_12^14 - 4973307525116/11415276227*c_1010_12^13 + 20919242006968/34245828681*c_1010_12^12 - 53241724340791/68491657362*c_1010_12^11 + 30873388073839/34245828681*c_1010_12^10 - 10725104245553/11415276227*c_1010_12^9 + 60803568144149/68491657362*c_1010_12^8 - 26185784426288/34245828681*c_1010_12^7 + 40602975868747/68491657362*c_1010_12^6 - 9322886575903/22830552454*c_1010_12^5 + 2826241044158/11415276227*c_1010_12^4 - 1444761950309/11415276227*c_1010_12^3 + 1271604637825/22830552454*c_1010_12^2 - 1199147237963/68491657362*c_1010_12 + 27610128247/22830552454, c_0011_12 + 1, c_0101_1 - 21465476891/68491657362*c_1010_12^20 + 182787852785/68491657362*c_1010_12^19 - 255617159659/22830552454*c_1010_12^18 + 2138258525653/68491657362*c_1010_12^17 - 2404574007233/34245828681*c_1010_12^16 + 4864462513963/34245828681*c_1010_12^15 - 17851065319981/68491657362*c_1010_12^14 + 9588106711563/22830552454*c_1010_12^13 - 20531557303214/34245828681*c_1010_12^12 + 26584232859583/34245828681*c_1010_12^11 - 62634181488247/68491657362*c_1010_12^10 + 22183203216023/22830552454*c_1010_12^9 - 32145199314215/34245828681*c_1010_12^8 + 28351462668244/34245828681*c_1010_12^7 - 45235638557435/68491657362*c_1010_12^6 + 5374466211827/11415276227*c_1010_12^5 - 6809840671683/22830552454*c_1010_12^4 + 1862293206117/11415276227*c_1010_12^3 - 871076393938/11415276227*c_1010_12^2 + 918984152102/34245828681*c_1010_12 - 57154513375/11415276227, c_0101_10 - 5940219641/34245828681*c_1010_12^20 + 29269905343/22830552454*c_1010_12^19 - 157102262803/34245828681*c_1010_12^18 + 732396870449/68491657362*c_1010_12^17 - 237961559894/11415276227*c_1010_12^16 + 2636227906709/68491657362*c_1010_12^15 - 2180370842504/34245828681*c_1010_12^14 + 5904815376649/68491657362*c_1010_12^13 - 3406216704955/34245828681*c_1010_12^12 + 3494598309427/34245828681*c_1010_12^11 - 6047376971767/68491657362*c_1010_12^10 + 3820338431173/68491657362*c_1010_12^9 - 679409358289/34245828681*c_1010_12^8 - 833629408429/68491657362*c_1010_12^7 + 401143108876/11415276227*c_1010_12^6 - 3013853204179/68491657362*c_1010_12^5 + 927908639299/22830552454*c_1010_12^4 - 708334960583/22830552454*c_1010_12^3 + 185403531875/11415276227*c_1010_12^2 - 604889992021/68491657362*c_1010_12 + 221009570285/68491657362, c_0101_11 - 3473919550/34245828681*c_1010_12^20 + 34281985598/34245828681*c_1010_12^19 - 164265553558/34245828681*c_1010_12^18 + 515606854886/34245828681*c_1010_12^17 - 1251819701635/34245828681*c_1010_12^16 + 875973675860/11415276227*c_1010_12^15 - 1658176458136/11415276227*c_1010_12^14 + 8406468540596/34245828681*c_1010_12^13 - 12579429536042/34245828681*c_1010_12^12 + 5611209351748/11415276227*c_1010_12^11 - 6770546623793/11415276227*c_1010_12^10 + 22124373112274/34245828681*c_1010_12^9 - 21776802615581/34245828681*c_1010_12^8 + 6464675183566/11415276227*c_1010_12^7 - 15544767364697/34245828681*c_1010_12^6 + 11157486780130/34245828681*c_1010_12^5 - 2357225350531/11415276227*c_1010_12^4 + 1280892607504/11415276227*c_1010_12^3 - 583082845733/11415276227*c_1010_12^2 + 628010635217/34245828681*c_1010_12 - 145429246205/34245828681, c_0101_6 - 2212515489/11415276227*c_1010_12^20 + 57335804083/34245828681*c_1010_12^19 - 491539166045/68491657362*c_1010_12^18 + 235427325460/11415276227*c_1010_12^17 - 3278625589117/68491657362*c_1010_12^16 + 3395256328550/34245828681*c_1010_12^15 - 6345480253984/34245828681*c_1010_12^14 + 10472595680138/34245828681*c_1010_12^13 - 5135300580550/11415276227*c_1010_12^12 + 41108190613549/68491657362*c_1010_12^11 - 49784402438987/68491657362*c_1010_12^10 + 54432656154265/68491657362*c_1010_12^9 - 18009273493035/22830552454*c_1010_12^8 + 24409213053590/34245828681*c_1010_12^7 - 19925553951898/34245828681*c_1010_12^6 + 29089914432185/68491657362*c_1010_12^5 - 6274289241345/22830552454*c_1010_12^4 + 1758775287158/11415276227*c_1010_12^3 - 832430162698/11415276227*c_1010_12^2 + 592683544047/22830552454*c_1010_12 - 347578784749/68491657362, c_0101_9 - 4207869437/11415276227*c_1010_12^20 + 33807429506/11415276227*c_1010_12^19 - 133181687761/11415276227*c_1010_12^18 + 347535707249/11415276227*c_1010_12^17 - 745338632772/11415276227*c_1010_12^16 + 1473302928916/11415276227*c_1010_12^15 - 2645821639161/11415276227*c_1010_12^14 + 4107536047156/11415276227*c_1010_12^13 - 5641144671132/11415276227*c_1010_12^12 + 7108790304558/11415276227*c_1010_12^11 - 8196220078674/11415276227*c_1010_12^10 + 8482275992309/11415276227*c_1010_12^9 - 8014542608242/11415276227*c_1010_12^8 + 6956841918519/11415276227*c_1010_12^7 - 5451922297736/11415276227*c_1010_12^6 + 3813348467002/11415276227*c_1010_12^5 - 2367470799588/11415276227*c_1010_12^4 + 1251322758836/11415276227*c_1010_12^3 - 597793059882/11415276227*c_1010_12^2 + 200894570760/11415276227*c_1010_12 - 18059139537/11415276227, c_1001_0 - 21465476891/68491657362*c_1010_12^20 + 182787852785/68491657362*c_1010_12^19 - 255617159659/22830552454*c_1010_12^18 + 2138258525653/68491657362*c_1010_12^17 - 2404574007233/34245828681*c_1010_12^16 + 4864462513963/34245828681*c_1010_12^15 - 17851065319981/68491657362*c_1010_12^14 + 9588106711563/22830552454*c_1010_12^13 - 20531557303214/34245828681*c_1010_12^12 + 26584232859583/34245828681*c_1010_12^11 - 62634181488247/68491657362*c_1010_12^10 + 22183203216023/22830552454*c_1010_12^9 - 32145199314215/34245828681*c_1010_12^8 + 28351462668244/34245828681*c_1010_12^7 - 45235638557435/68491657362*c_1010_12^6 + 5374466211827/11415276227*c_1010_12^5 - 6809840671683/22830552454*c_1010_12^4 + 1862293206117/11415276227*c_1010_12^3 - 871076393938/11415276227*c_1010_12^2 + 918984152102/34245828681*c_1010_12 - 57154513375/11415276227, c_1001_2 + 3473919550/34245828681*c_1010_12^20 - 34281985598/34245828681*c_1010_12^19 + 164265553558/34245828681*c_1010_12^18 - 515606854886/34245828681*c_1010_12^17 + 1251819701635/34245828681*c_1010_12^16 - 875973675860/11415276227*c_1010_12^15 + 1658176458136/11415276227*c_1010_12^14 - 8406468540596/34245828681*c_1010_12^13 + 12579429536042/34245828681*c_1010_12^12 - 5611209351748/11415276227*c_1010_12^11 + 6770546623793/11415276227*c_1010_12^10 - 22124373112274/34245828681*c_1010_12^9 + 21776802615581/34245828681*c_1010_12^8 - 6464675183566/11415276227*c_1010_12^7 + 15544767364697/34245828681*c_1010_12^6 - 11157486780130/34245828681*c_1010_12^5 + 2357225350531/11415276227*c_1010_12^4 - 1280892607504/11415276227*c_1010_12^3 + 583082845733/11415276227*c_1010_12^2 - 628010635217/34245828681*c_1010_12 + 145429246205/34245828681, c_1001_5 - 2212515489/11415276227*c_1010_12^20 + 57335804083/34245828681*c_1010_12^19 - 491539166045/68491657362*c_1010_12^18 + 235427325460/11415276227*c_1010_12^17 - 3278625589117/68491657362*c_1010_12^16 + 3395256328550/34245828681*c_1010_12^15 - 6345480253984/34245828681*c_1010_12^14 + 10472595680138/34245828681*c_1010_12^13 - 5135300580550/11415276227*c_1010_12^12 + 41108190613549/68491657362*c_1010_12^11 - 49784402438987/68491657362*c_1010_12^10 + 54432656154265/68491657362*c_1010_12^9 - 18009273493035/22830552454*c_1010_12^8 + 24409213053590/34245828681*c_1010_12^7 - 19925553951898/34245828681*c_1010_12^6 + 29089914432185/68491657362*c_1010_12^5 - 6274289241345/22830552454*c_1010_12^4 + 1758775287158/11415276227*c_1010_12^3 - 832430162698/11415276227*c_1010_12^2 + 592683544047/22830552454*c_1010_12 - 347578784749/68491657362, c_1010_12^21 - 9*c_1010_12^20 + 40*c_1010_12^19 - 118*c_1010_12^18 + 276*c_1010_12^17 - 570*c_1010_12^16 + 1067*c_1010_12^15 - 1773*c_1010_12^14 + 2613*c_1010_12^13 - 3473*c_1010_12^12 + 4202*c_1010_12^11 - 4614*c_1010_12^10 + 4605*c_1010_12^9 - 4193*c_1010_12^8 + 3478*c_1010_12^7 - 2608*c_1010_12^6 + 1751*c_1010_12^5 - 1035*c_1010_12^4 + 534*c_1010_12^3 - 230*c_1010_12^2 + 73*c_1010_12 - 13 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.110 Total time: 0.320 seconds, Total memory usage: 32.09MB