Magma V2.19-8 Wed Aug 21 2013 01:05:20 on localhost [Seed = 2395510279] Type ? for help. Type -D to quit. Loading file "L14n25786__sl2_c2.magma" ==TRIANGULATION=BEGINS== % Triangulation L14n25786 geometric_solution 11.55561594 oriented_manifold CS_known -0.0000000000000002 2 0 torus 0.000000000000 0.000000000000 torus 0.000000000000 0.000000000000 13 1 2 3 4 0132 0132 0132 0132 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 -1 1 0 0 0 -1 1 1 -1 0 0 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.480197692013 0.949160437416 0 5 6 3 0132 0132 0132 0132 1 1 0 1 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 1 0 -1 0 0 0 0 2 -1 0 -1 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.884971184844 1.084488393648 7 0 5 8 0132 0132 1230 0132 1 1 0 1 0 0 0 0 -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 1 0 -1 1 0 -1 0 0 -2 0 2 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.341791870208 0.870054463479 7 9 1 0 2103 0132 0132 0132 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 -1 -1 0 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 -0.205236766225 0.690086497736 8 10 0 11 3012 0132 0132 0132 1 1 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 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 1.326956246098 0.806121268313 11 1 9 2 0132 0132 1023 3012 1 1 1 0 0 0 0 0 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 -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 0.247025356522 0.738991366086 8 10 11 1 1023 2031 0132 0132 1 1 1 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 0 0 0 -2 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.227054365218 0.538672336162 2 12 3 8 0132 0132 2103 3120 0 1 1 0 0 0 0 0 1 0 0 -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 -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 0.689863436344 0.471298685632 7 6 2 4 3120 1023 0132 1230 1 1 1 0 0 0 0 0 1 0 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 1 -1 0 0 0 0 0 0 0 0 0 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -0.489895268401 0.875932535338 12 3 5 10 3120 0132 1023 0213 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 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.151944536301 1.123960576892 6 4 12 9 1302 0132 1023 0213 1 0 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 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 0.654547251315 0.407202426023 5 12 4 6 0132 1023 0132 0132 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 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 0.774928903647 0.675190525298 11 7 10 9 1023 0132 1023 3120 0 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 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.924490569513 0.546217967462 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_1001_11' : d['c_0101_12'], 'c_1001_10' : d['c_0101_12'], 'c_1001_12' : negation(d['c_0011_6']), 'c_1001_5' : d['c_0101_9'], 'c_1001_4' : d['c_1001_2'], 'c_1001_7' : d['c_0011_3'], 'c_1001_6' : negation(d['c_0110_10']), 'c_1001_1' : d['c_0011_10'], 'c_1001_0' : d['c_0101_5'], 'c_1001_3' : d['c_0101_9'], 'c_1001_2' : d['c_1001_2'], 'c_1001_9' : d['c_0101_5'], 'c_1001_8' : d['c_0101_5'], 'c_1010_12' : d['c_0011_3'], 'c_1010_11' : negation(d['c_0110_10']), 'c_1010_10' : d['c_1001_2'], 's_0_10' : d['1'], 's_0_11' : d['1'], 's_0_12' : d['1'], 's_3_12' : d['1'], 's_2_8' : negation(d['1']), 'c_0101_12' : d['c_0101_12'], 'c_0101_11' : d['c_0101_11'], 'c_0101_10' : negation(d['c_0011_6']), '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' : negation(d['1']), 's_0_9' : d['1'], 's_0_6' : d['1'], 's_0_7' : negation(d['1']), 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : negation(d['1']), 's_0_3' : d['1'], 's_0_0' : d['1'], 's_0_1' : d['1'], 'c_1100_9' : d['c_1001_2'], 'c_0011_10' : d['c_0011_10'], 'c_0011_12' : negation(d['c_0011_0']), 'c_1100_5' : negation(d['c_1001_2']), 'c_1100_4' : d['c_1100_0'], 'c_1100_7' : negation(d['c_0101_0']), 'c_1100_6' : d['c_1100_0'], 'c_1100_1' : d['c_1100_0'], 'c_1100_0' : d['c_1100_0'], 'c_1100_3' : d['c_1100_0'], 'c_1100_2' : d['c_0101_11'], 's_3_11' : d['1'], 'c_1100_11' : d['c_1100_0'], 'c_1100_10' : d['c_0101_9'], 's_3_10' : d['1'], 'c_1010_7' : negation(d['c_0011_6']), 'c_1010_6' : d['c_0011_10'], 'c_1010_5' : d['c_0011_10'], 'c_1010_4' : d['c_0101_12'], 'c_1010_3' : d['c_0101_5'], 'c_1010_2' : d['c_0101_5'], 'c_1010_1' : d['c_0101_9'], 'c_1010_0' : d['c_1001_2'], 'c_1010_9' : d['c_0101_9'], 'c_1010_8' : d['c_0101_1'], 'c_1100_8' : d['c_0101_11'], 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : negation(d['1']), 's_3_5' : d['1'], 's_3_4' : d['1'], 's_3_7' : negation(d['1']), 's_3_6' : d['1'], 's_3_9' : d['1'], 's_3_8' : d['1'], 'c_1100_12' : negation(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_3']), 'c_0011_8' : d['c_0011_6'], 'c_0011_5' : d['c_0011_0'], 'c_0011_4' : negation(d['c_0011_10']), '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' : d['c_0011_3'], 'c_0011_2' : negation(d['c_0011_0']), 'c_0110_11' : d['c_0101_5'], 'c_0110_10' : d['c_0110_10'], 'c_0110_12' : negation(d['c_0110_10']), 'c_0011_11' : negation(d['c_0011_0']), 'c_0101_7' : d['c_0101_0'], 'c_0101_6' : d['c_0101_5'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0101_0'], 'c_0101_2' : negation(d['c_0011_10']), 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0101_0'], 'c_0101_9' : d['c_0101_9'], 'c_0101_8' : d['c_0101_0'], 's_1_12' : d['1'], 's_1_11' : d['1'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0110_10']), 'c_0110_8' : negation(d['c_0011_10']), 'c_0110_1' : d['c_0101_0'], 'c_0110_0' : d['c_0101_1'], 'c_0110_3' : d['c_0101_0'], 'c_0110_2' : d['c_0101_0'], 'c_0110_5' : d['c_0101_11'], 'c_0110_4' : d['c_0101_11'], 'c_0110_7' : negation(d['c_0011_10']), 'c_0110_6' : d['c_0101_1'], '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_3, c_0011_6, c_0101_0, c_0101_1, c_0101_11, c_0101_12, c_0101_5, c_0101_9, c_0110_10, c_1001_2, c_1100_0 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 13379927309230194262/534492423305878765*c_1100_0^9 - 17332063137135290192/106898484661175753*c_1100_0^8 + 334554446267764211714/534492423305878765*c_1100_0^7 - 19819224003601185962/15271212094453679*c_1100_0^6 + 971195505743149827524/534492423305878765*c_1100_0^5 - 981434398137110620043/534492423305878765*c_1100_0^4 + 136755419096741382529/106898484661175753*c_1100_0^3 - 501668311359392037/839077587607345*c_1100_0^2 + 19032612340149899440/106898484661175753*c_1100_0 - 17033120143064310102/534492423305878765, c_0011_0 - 1, c_0011_10 + 9492538565575/2751074057729*c_1100_0^9 - 46808604623503/2751074057729*c_1100_0^8 + 160868834322404/2751074057729*c_1100_0^7 - 226239874458077/2751074057729*c_1100_0^6 + 285991024709680/2751074057729*c_1100_0^5 - 213209962665996/2751074057729*c_1100_0^4 + 118379670767628/2751074057729*c_1100_0^3 - 48590115621047/2751074057729*c_1100_0^2 + 15121058617992/2751074057729*c_1100_0 + 668989450311/2751074057729, c_0011_3 + 1785422307527/2751074057729*c_1100_0^9 - 4005828852226/2751074057729*c_1100_0^8 + 9695497046607/2751074057729*c_1100_0^7 + 26203344914899/2751074057729*c_1100_0^6 - 19315454934688/2751074057729*c_1100_0^5 + 66653349127063/2751074057729*c_1100_0^4 - 23442909040330/2751074057729*c_1100_0^3 + 23063272472506/2751074057729*c_1100_0^2 + 2663008467662/2751074057729*c_1100_0 - 1021746934813/2751074057729, c_0011_6 - 12575111094555/2751074057729*c_1100_0^9 + 67645885988264/2751074057729*c_1100_0^8 - 238662008472572/2751074057729*c_1100_0^7 + 383970808899897/2751074057729*c_1100_0^6 - 473433964108297/2751074057729*c_1100_0^5 + 392843725591891/2751074057729*c_1100_0^4 - 203870416855133/2751074057729*c_1100_0^3 + 78434146887531/2751074057729*c_1100_0^2 - 15153902962144/2751074057729*c_1100_0 - 82843512900/2751074057729, c_0101_0 - 1624970620538/2751074057729*c_1100_0^9 + 8435469669302/2751074057729*c_1100_0^8 - 27693031755273/2751074057729*c_1100_0^7 + 36788775466805/2751074057729*c_1100_0^6 - 28208846504390/2751074057729*c_1100_0^5 + 10087863732279/2751074057729*c_1100_0^4 + 18826207118404/2751074057729*c_1100_0^3 - 13607340082621/2751074057729*c_1100_0^2 + 8844117562478/2751074057729*c_1100_0 - 683025738837/2751074057729, c_0101_1 - 1, c_0101_11 - 9368235022667/2751074057729*c_1100_0^9 + 47608086431885/2751074057729*c_1100_0^8 - 166221746311156/2751074057729*c_1100_0^7 + 248449444786717/2751074057729*c_1100_0^6 - 318448172072421/2751074057729*c_1100_0^5 + 244864637198840/2751074057729*c_1100_0^4 - 136968988572040/2751074057729*c_1100_0^3 + 44709463395103/2751074057729*c_1100_0^2 - 10189765762978/2751074057729*c_1100_0 - 1866861396452/2751074057729, c_0101_12 + 5499839352729/2751074057729*c_1100_0^9 - 30246718667050/2751074057729*c_1100_0^8 + 110722866027144/2751074057729*c_1100_0^7 - 192658045714180/2751074057729*c_1100_0^6 + 267633645199746/2751074057729*c_1100_0^5 - 240353512175824/2751074057729*c_1100_0^4 + 168193653586323/2751074057729*c_1100_0^3 - 70971880695147/2751074057729*c_1100_0^2 + 23200477544328/2751074057729*c_1100_0 - 408056222262/2751074057729, c_0101_5 + 5634677464523/2751074057729*c_1100_0^9 - 26771135906751/2751074057729*c_1100_0^8 + 90984952087649/2751074057729*c_1100_0^7 - 119166400480636/2751074057729*c_1100_0^6 + 151714595899530/2751074057729*c_1100_0^5 - 99752276856022/2751074057729*c_1100_0^4 + 48844628533959/2751074057729*c_1100_0^3 - 12839032678508/2751074057729*c_1100_0^2 + 1734549200083/2751074057729*c_1100_0 + 1589625292025/2751074057729, c_0101_9 + 3235466360819/2751074057729*c_1100_0^9 - 16489606818675/2751074057729*c_1100_0^8 + 58709791635877/2751074057729*c_1100_0^7 - 90372755978526/2751074057729*c_1100_0^6 + 122391659393113/2751074057729*c_1100_0^5 - 88908011810041/2751074057729*c_1100_0^4 + 54764745038361/2751074057729*c_1100_0^3 - 9348349327429/2751074057729*c_1100_0^2 + 3037898882833/2751074057729*c_1100_0 + 1281130127791/2751074057729, c_0110_10 + 5856496264253/2751074057729*c_1100_0^9 - 28514023629301/2751074057729*c_1100_0^8 + 98500469095379/2751074057729*c_1100_0^7 - 136776049963498/2751074057729*c_1100_0^6 + 178352881214062/2751074057729*c_1100_0^5 - 122630777495961/2751074057729*c_1100_0^4 + 77870881311382/2751074057729*c_1100_0^3 - 20550415584939/2751074057729*c_1100_0^2 + 11123447107724/2751074057729*c_1100_0 + 939084056772/2751074057729, c_1001_2 + 9866326219992/2751074057729*c_1100_0^9 - 51955430138344/2751074057729*c_1100_0^8 + 182748748898786/2751074057729*c_1100_0^7 - 287359733114272/2751074057729*c_1100_0^6 + 362790088852199/2751074057729*c_1100_0^5 - 301068985731617/2751074057729*c_1100_0^4 + 170328603571760/2751074057729*c_1100_0^3 - 67231544784269/2751074057729*c_1100_0^2 + 18358157500769/2751074057729*c_1100_0 + 862967373088/2751074057729, c_1100_0^10 - 99/19*c_1100_0^9 + 349/19*c_1100_0^8 - 545/19*c_1100_0^7 + 704/19*c_1100_0^6 - 576/19*c_1100_0^5 + 18*c_1100_0^4 - 134/19*c_1100_0^3 + 40/19*c_1100_0^2 + 1/19 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.280 Total time: 0.490 seconds, Total memory usage: 32.09MB