Magma V2.19-8 Tue Aug 20 2013 23:38:56 on localhost [Seed = 2480273393] Type ? for help. Type -D to quit. Loading file "K12n371__sl2_c0.magma" ==TRIANGULATION=BEGINS== % Triangulation K12n371 geometric_solution 9.60874177 oriented_manifold CS_known 0.0000000000000001 1 0 torus 0.000000000000 0.000000000000 11 1 2 3 4 0132 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 0 0 0 1 0 -1 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.703684614505 0.797569398298 0 4 6 5 0132 2103 0132 0132 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 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.028117207702 0.439900180566 3 0 7 7 1230 0132 2310 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 0 0 2 0 0 -2 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.656495037655 0.823717505656 8 2 7 0 0132 3012 0132 0132 0 0 0 0 0 0 0 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 0 0 0 0 0 -1 0 1 -2 0 2 0 3 -2 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.589278091299 1.573899651561 6 1 0 9 0132 2103 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 -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 1.119348620066 1.133067912479 8 9 1 6 3012 3120 0132 2031 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 -1 0 1 3 0 -3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.450075411752 0.332792414823 4 5 10 1 0132 1302 0132 0132 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 3 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.668934724138 0.331976413411 9 2 2 3 3201 3201 0132 0132 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 2 -2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.269147160280 0.460441117847 3 10 10 5 0132 2031 0213 1230 0 0 0 0 0 -1 0 1 -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 2 1 -3 2 0 -2 0 0 0 0 0 -3 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.574347735780 0.798166317545 10 5 4 7 2310 3120 0132 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 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.055729924569 0.509665107725 8 8 9 6 1302 0213 3201 0132 0 0 0 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 -1 1 0 -3 0 0 3 -2 2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.936628324071 0.706092786047 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 'c_0110_6' : d['c_0101_1'], 'c_1001_10' : negation(d['c_0101_6']), 'c_1001_5' : d['c_1001_5'], 'c_1001_4' : negation(d['c_0011_0']), 'c_1001_7' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0110_5'], 'c_1001_1' : d['c_0011_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0011_0'], 'c_1001_2' : negation(d['c_0011_0']), 'c_1001_9' : negation(d['c_1001_5']), 'c_1001_8' : negation(d['c_0101_6']), 'c_1010_10' : d['c_0110_5'], 's_0_10' : d['1'], 's_3_10' : d['1'], 's_2_8' : d['1'], 's_2_9' : d['1'], 'c_0101_10' : d['c_0011_3'], '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_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_0011_7'], 'c_1100_8' : d['c_0110_5'], 'c_1100_5' : negation(d['c_0011_4']), 'c_1100_4' : d['c_0011_7'], 'c_1100_7' : d['c_0011_7'], 'c_1100_6' : negation(d['c_0011_4']), 'c_1100_1' : negation(d['c_0011_4']), 'c_1100_0' : d['c_0011_7'], 'c_1100_3' : d['c_0011_7'], 'c_1100_2' : d['c_0011_7'], 'c_1100_10' : negation(d['c_0011_4']), 'c_1010_7' : d['c_0011_0'], 'c_1010_6' : d['c_0011_4'], 'c_1010_5' : negation(d['c_0011_4']), 'c_1010_4' : negation(d['c_1001_5']), 'c_1010_3' : negation(d['c_0101_2']), 'c_1010_2' : negation(d['c_0101_2']), 'c_1010_1' : d['c_1001_5'], 'c_1010_0' : negation(d['c_0011_0']), 'c_1010_9' : negation(d['c_0011_5']), 'c_1010_8' : d['c_0011_10'], '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_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' : d['c_0011_7'], 'c_0011_6' : negation(d['c_0011_4']), '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_10' : d['c_0101_6'], 'c_0101_7' : d['c_0011_3'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0011_10'], 'c_0101_4' : d['c_0101_1'], 'c_0101_3' : d['c_0011_5'], 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : d['c_0011_10'], 'c_0101_9' : d['c_0101_6'], 'c_0101_8' : d['c_0011_10'], 's_1_10' : d['1'], 'c_0110_9' : negation(d['c_0011_3']), 'c_0110_8' : d['c_0011_5'], '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_0011_3'], 'c_0110_5' : d['c_0110_5'], 'c_0110_4' : d['c_0101_6'], 'c_0110_7' : d['c_0011_5'], 'c_0011_10' : d['c_0011_10']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 12 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_10, c_0011_3, c_0011_4, c_0011_5, c_0011_7, c_0101_1, c_0101_2, c_0101_6, c_0110_5, c_1001_5 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 10 Groebner basis: [ t + 580846935428793914901/17058950948820856643*c_1001_5^9 + 14564501504455940062041/34117901897641713286*c_1001_5^8 + 50806069043576531298457/34117901897641713286*c_1001_5^7 - 221205089895839990875/1176479375780748734*c_1001_5^6 - 124327431107280323670497/34117901897641713286*c_1001_5^5 + 190851812668162968661721/17058950948820856643*c_1001_5^4 - 171145555295119838261729/34117901897641713286*c_1001_5^3 + 51199758670221097257161/34117901897641713286*c_1001_5^2 + 79387563315812735042870/17058950948820856643*c_1001_5 + 62340093141594371445165/34117901897641713286, c_0011_0 - 1, c_0011_10 - 37987935429/5376520102463*c_1001_5^9 - 454257968241/5376520102463*c_1001_5^8 - 1416537062180/5376520102463*c_1001_5^7 + 783699920466/5376520102463*c_1001_5^6 + 2586573297133/5376520102463*c_1001_5^5 - 14711883256486/5376520102463*c_1001_5^4 + 15888643747065/5376520102463*c_1001_5^3 - 14763865562645/5376520102463*c_1001_5^2 + 1535864410706/5376520102463*c_1001_5 - 1484006145256/5376520102463, c_0011_3 + 15693972367/5376520102463*c_1001_5^9 + 129012278007/5376520102463*c_1001_5^8 - 144785446609/5376520102463*c_1001_5^7 - 2861691524201/5376520102463*c_1001_5^6 - 1000130266581/5376520102463*c_1001_5^5 + 10805197397230/5376520102463*c_1001_5^4 - 24935453309174/5376520102463*c_1001_5^3 + 24126475679277/5376520102463*c_1001_5^2 - 13380682255877/5376520102463*c_1001_5 - 914400959060/5376520102463, c_0011_4 + 28617424950/5376520102463*c_1001_5^9 + 325273574546/5376520102463*c_1001_5^8 + 816990683555/5376520102463*c_1001_5^7 - 1781049242069/5376520102463*c_1001_5^6 - 3228330965696/5376520102463*c_1001_5^5 + 14214831262272/5376520102463*c_1001_5^4 - 12287350395004/5376520102463*c_1001_5^3 - 148555787363/5376520102463*c_1001_5^2 + 1345078965171/5376520102463*c_1001_5 + 1656562598218/5376520102463, c_0011_5 - 66658228558/5376520102463*c_1001_5^9 - 779045902560/5376520102463*c_1001_5^8 - 2182172470903/5376520102463*c_1001_5^7 + 3140894587350/5376520102463*c_1001_5^6 + 7956239488672/5376520102463*c_1001_5^5 - 27692163607633/5376520102463*c_1001_5^4 + 23807449855631/5376520102463*c_1001_5^3 - 12589949577835/5376520102463*c_1001_5^2 + 914577028824/5376520102463*c_1001_5 - 2948878319888/5376520102463, c_0011_7 + 30161813678/5376520102463*c_1001_5^9 + 314775763466/5376520102463*c_1001_5^8 + 550395751412/5376520102463*c_1001_5^7 - 2569075804737/5376520102463*c_1001_5^6 - 1135535920745/5376520102463*c_1001_5^5 + 19029934841466/5376520102463*c_1001_5^4 - 26709256250891/5376520102463*c_1001_5^3 + 13043837691301/5376520102463*c_1001_5^2 + 5239613732516/5376520102463*c_1001_5 - 4629917208100/5376520102463, c_0101_1 + 44071188009/5376520102463*c_1001_5^9 + 562228085209/5376520102463*c_1001_5^8 + 1996255340694/5376520102463*c_1001_5^7 - 476404129489/5376520102463*c_1001_5^6 - 7030262940441/5376520102463*c_1001_5^5 + 14018498284235/5376520102463*c_1001_5^4 + 3632704675371/5376520102463*c_1001_5^3 - 14736877279631/5376520102463*c_1001_5^2 + 10183180378327/5376520102463*c_1001_5 + 1816007438468/5376520102463, c_0101_2 + 113718492870/5376520102463*c_1001_5^9 + 1345608537688/5376520102463*c_1001_5^8 + 3979266228642/5376520102463*c_1001_5^7 - 3989896439487/5376520102463*c_1001_5^6 - 11061043798744/5376520102463*c_1001_5^5 + 47098094049102/5376520102463*c_1001_5^4 - 41848311223736/5376520102463*c_1001_5^3 + 20155699474612/5376520102463*c_1001_5^2 + 9966368988435/5376520102463*c_1001_5 - 2918953532065/5376520102463, c_0101_6 + 8337755757/5376520102463*c_1001_5^9 + 102637900343/5376520102463*c_1001_5^8 + 398135926006/5376520102463*c_1001_5^7 + 612629906360/5376520102463*c_1001_5^6 + 1906817303768/5376520102463*c_1001_5^5 + 3440796504208/5376520102463*c_1001_5^4 - 9756361409417/5376520102463*c_1001_5^3 + 12310584875933/5376520102463*c_1001_5^2 - 913844279687/5376520102463*c_1001_5 + 649912356377/5376520102463, c_0110_5 + 118183711/5376520102463*c_1001_5^9 + 72568326904/5376520102463*c_1001_5^8 + 941839262355/5376520102463*c_1001_5^7 + 3636208209384/5376520102463*c_1001_5^6 + 1061621513469/5376520102463*c_1001_5^5 - 10198356106102/5376520102463*c_1001_5^4 + 14315577543897/5376520102463*c_1001_5^3 + 3867608209188/5376520102463*c_1001_5^2 - 1576440221504/5376520102463*c_1001_5 - 1412619389040/5376520102463, c_1001_5^10 + 12*c_1001_5^9 + 37*c_1001_5^8 - 29*c_1001_5^7 - 104*c_1001_5^6 + 386*c_1001_5^5 - 324*c_1001_5^4 + 124*c_1001_5^3 + 112*c_1001_5^2 - 19*c_1001_5 - 29 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.250 Total time: 0.460 seconds, Total memory usage: 32.09MB