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Label Polynomial Discriminant Galois group Class group Regulator
10.0.38305556224.1 $x^{10} - 3 x^{9} + 2 x^{8} - 2 x^{7} + 9 x^{6} - 7 x^{5} - 8 x^{3} + 8 x^{2} + 4 x + 4$ $-\,2^{8}\cdot 13^{6}\cdot 31$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $41.7926601087$
10.2.50662187264.1 $x^{10} - x^{9} - 2 x^{8} + 2 x^{7} + x^{6} - 3 x^{5} + 2 x^{4} + 6 x^{3} + 2 x^{2} - 4 x - 2$ $2^{8}\cdot 13^{6}\cdot 41$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $54.6640423014$
10.0.68430008115.1 $x^{10} - 3 x^{9} + 4 x^{8} - 2 x^{7} + 3 x^{5} - x^{4} - 6 x^{3} + 9 x^{2} - 5 x + 1$ $-\,3^{4}\cdot 5\cdot 7\cdot 17^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $35.6964234794$
10.0.70000000000.1 $x^{10} + 5 x^{8} + 10 x^{6} - 4 x^{5} + 10 x^{4} + 5 x^{2} + 1$ $-\,2^{10}\cdot 5^{10}\cdot 7$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $50.7501996678$
10.0.72904123136.1 $x^{10} - 4 x^{9} + 9 x^{8} - 14 x^{7} + 20 x^{6} - 24 x^{5} + 22 x^{4} - 14 x^{3} + 11 x^{2} - 4 x + 1$ $-\,2^{8}\cdot 13^{6}\cdot 59$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $16.8930451839$
10.2.95146059008.1 $x^{10} - 3 x^{9} + 3 x^{8} + 2 x^{7} - 3 x^{6} + 11 x^{5} - 3 x^{4} + 2 x^{3} + 3 x^{2} - 3 x + 1$ $2^{8}\cdot 7\cdot 11\cdot 13^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $34.5929840028$
10.2.98853048320.1 $x^{10} - x^{8} - 4 x^{7} + 6 x^{6} - 6 x^{4} - 4 x^{3} + x^{2} - 1$ $2^{12}\cdot 5\cdot 13^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $59.522185836$
10.2.105031363840.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} - x^{6} - 3 x^{5} + x^{4} + 2 x^{3} + x^{2} - x - 1$ $2^{8}\cdot 5\cdot 13^{6}\cdot 17$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $43.8146310423$
10.0.112445342464.1 $x^{10} - x^{9} - x^{8} + 2 x^{7} + 5 x^{6} + x^{5} + 5 x^{4} + 2 x^{3} - x^{2} - x + 1$ $-\,2^{8}\cdot 7\cdot 13^{7}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $36.1834816564$
10.0.113681005568.1 $x^{10} - 4 x^{9} + 6 x^{8} - 6 x^{7} + 6 x^{6} - 8 x^{5} + 10 x^{4} - 6 x^{3} + 8 x^{2} - 2 x + 2$ $-\,2^{10}\cdot 13^{6}\cdot 23$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $41.6674565401$
10.0.117387994880.1 $x^{10} - x^{9} + 2 x^{8} + 2 x^{7} + x^{6} + x^{5} - 4 x^{4} + 12 x^{3} - 8 x + 8$ $-\,2^{8}\cdot 5\cdot 13^{6}\cdot 19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $83.143831444$
10.0.117500000000.1 $x^{10} - 5 x^{8} - 10 x^{7} + 10 x^{6} + 24 x^{5} + 20 x^{4} + 10 x^{3} + 5 x^{2} + 1$ $-\,2^{8}\cdot 5^{10}\cdot 47$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $77.1153164745$
10.0.120000000000.1 $x^{10} - 5 x^{8} + 10 x^{6} - 10 x^{4} + 5 x^{2} + 3$ $-\,2^{12}\cdot 3\cdot 5^{10}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $47.7181793491$
10.2.130000000000.1 $x^{10} - 5 x^{8} + 10 x^{6} - 2 x^{5} - 10 x^{4} + 10 x^{3} + 5 x^{2} - 10 x + 3$ $2^{10}\cdot 5^{10}\cdot 13$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $93.2078235614$
10.0.138394267648.1 $x^{10} - 2 x^{9} + 2 x^{8} - 2 x^{7} - 2 x^{6} + 4 x^{5} - 2 x^{4} - 2 x^{3} + 12 x^{2} - 8 x + 10$ $-\,2^{12}\cdot 7\cdot 13^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $57.5565135752$
10.0.140380859375.1 $x^{10} + 5 x^{8} + 15 x^{6} - 6 x^{5} + 20 x^{4} - 15 x^{3} + 20 x^{2} - 20 x + 7$ $-\,5^{14}\cdot 23$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $56.9989310588$
10.0.146484375000.1 $x^{10} - 5 x^{9} + 20 x^{8} - 45 x^{7} + 80 x^{6} - 90 x^{5} + 80 x^{4} - 45 x^{3} + 20 x^{2} - 5 x + 1$ $-\,2^{3}\cdot 3\cdot 5^{14}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $79.0647393989$
10.0.147500000000.1 $x^{10} + 5 x^{8} + 10 x^{6} - 2 x^{5} + 5 x^{2} + 10 x + 7$ $-\,2^{8}\cdot 5^{10}\cdot 59$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $43.2666642411$
10.0.154456304031.1 $x^{10} - 3 x^{9} + 9 x^{8} - 14 x^{7} + 27 x^{6} - 33 x^{5} + 44 x^{4} - 39 x^{3} + 33 x^{2} - 27 x + 9$ $-\,3^{4}\cdot 17^{6}\cdot 79$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $32.6542143319$
10.2.170898437500.1 $x^{10} - 5 x^{9} + 10 x^{8} - 5 x^{7} - 15 x^{6} + 37 x^{5} - 45 x^{4} + 40 x^{3} - 25 x^{2} + 10 x - 2$ $2^{2}\cdot 5^{14}\cdot 7$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $68.63808393$
10.0.172992834560.1 $x^{10} - 2 x^{9} - x^{8} + 10 x^{7} - 12 x^{6} - 2 x^{5} + 24 x^{4} - 26 x^{3} + 11 x^{2} + 4 x + 1$ $-\,2^{10}\cdot 5\cdot 7\cdot 13^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $55.2479344075$
10.0.176699823872.1 $x^{10} - 2 x^{9} + 4 x^{8} - 8 x^{7} + 14 x^{6} - 16 x^{5} + 24 x^{4} - 40 x^{3} + 40 x^{2} - 20 x + 4$ $-\,2^{8}\cdot 11\cdot 13^{7}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $97.1061326992$
10.2.182500000000.1 $x^{10} - 5 x^{8} - 22 x^{5} - 10 x^{4} - 25 x^{2} - 10 x - 1$ $2^{8}\cdot 5^{10}\cdot 73$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $114.928188959$
10.2.182878139392.1 $x^{10} - 4 x^{9} + x^{8} + 8 x^{7} - 8 x^{6} + 4 x^{5} + 4 x^{4} - 4 x^{3} + 9 x^{2} - 6 x + 5$ $2^{10}\cdot 13^{6}\cdot 37$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $92.1938217042$
10.0.186585128704.1 $x^{10} - x^{9} - 4 x^{8} + 2 x^{7} + 9 x^{6} + 9 x^{5} - 30 x^{4} - 8 x^{3} + 44 x^{2} - 24 x + 4$ $-\,2^{8}\cdot 13^{6}\cdot 151$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $95.5108528947$
10.0.193559165811.1 $x^{10} - x^{9} + x^{8} + 4 x^{7} - 5 x^{6} + 10 x^{5} + 2 x^{4} - 21 x^{3} + 41 x^{2} - 30 x + 7$ $-\,3^{6}\cdot 11\cdot 17^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $47.0122268782$
10.2.197469451989.1 $x^{10} - x^{7} + 4 x^{6} - 3 x^{5} - 4 x^{4} - x^{3} - 1$ $3^{4}\cdot 17^{6}\cdot 101$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $57.0883669314$
10.0.201413085952.1 $x^{10} - 2 x^{9} - 2 x^{8} + 6 x^{7} - 4 x^{6} - 2 x^{5} + 4 x^{4} + 16 x^{2} + 4 x + 4$ $-\,2^{8}\cdot 13^{6}\cdot 163$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $52.5662828316$
10.2.205290024345.1 $x^{10} - x^{9} + 2 x^{8} - x^{7} - 8 x^{5} + 4 x^{4} + 10 x^{3} - 6 x^{2} - x + 1$ $3^{5}\cdot 5\cdot 7\cdot 17^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $68.0921597385$
10.0.207500000000.1 $x^{10} - 5 x^{9} + 15 x^{8} - 30 x^{7} + 55 x^{6} - 81 x^{5} + 75 x^{4} - 40 x^{3} + 15 x^{2} - 5 x + 1$ $-\,2^{8}\cdot 5^{10}\cdot 83$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $35.2179166248$
10.0.212534053888.1 $x^{10} - 2 x^{9} + 3 x^{8} - 2 x^{7} + 4 x^{6} + 2 x^{5} + 10 x^{3} + 11 x^{2} + 16 x + 13$ $-\,2^{10}\cdot 13^{6}\cdot 43$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $65.5805103584$
10.2.213110596701.1 $x^{10} - x^{9} + x^{8} - 6 x^{7} + 3 x^{6} + 4 x^{5} + 12 x^{4} - 6 x^{3} - 7 x^{2} - 17 x + 15$ $3^{4}\cdot 17^{6}\cdot 109$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $90.6870358408$
10.0.217476706304.1 $x^{10} - 4 x^{9} + 5 x^{8} - 8 x^{7} + 18 x^{6} - 16 x^{5} + 18 x^{4} - 8 x^{3} + 5 x^{2} - 4 x + 1$ $-\,2^{12}\cdot 11\cdot 13^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $46.899645029$
10.0.217500000000.1 $x^{10} - 5 x^{8} - 10 x^{7} + 10 x^{6} + 34 x^{5} + 10 x^{4} - 30 x^{3} - 15 x^{2} + 10 x + 7$ $-\,2^{8}\cdot 3\cdot 5^{10}\cdot 29$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $134.068784478$
10.0.221183695616.1 $x^{10} - x^{9} + 5 x^{8} + 2 x^{7} + 3 x^{6} + 11 x^{5} + 11 x^{4} + 4 x^{3} + 15 x^{2} + 7 x + 1$ $-\,2^{8}\cdot 13^{6}\cdot 179$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $42.4354633$
10.0.224841455235.1 $x^{10} - 2 x^{9} + 4 x^{8} - 3 x^{7} + 2 x^{6} + x^{5} + 2 x^{4} - 3 x^{3} + 4 x^{2} - 2 x + 1$ $-\,3^{4}\cdot 5\cdot 17^{6}\cdot 23$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $32.8379118041$
10.0.227500000000.1 $x^{10} - 5 x^{9} + 15 x^{8} - 20 x^{7} + 15 x^{6} - 5 x^{5} + 15 x^{4} - 20 x^{3} + 15 x^{2} - 5 x + 1$ $-\,2^{8}\cdot 5^{10}\cdot 7\cdot 13$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $87.0825214358$
10.2.243425631488.1 $x^{10} - 5 x^{9} + 9 x^{8} - 6 x^{7} + x^{6} - 3 x^{5} - x^{4} - 6 x^{3} - 9 x^{2} - 5 x - 1$ $2^{8}\cdot 13^{6}\cdot 197$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $72.7941648194$
10.0.260724914944.1 $x^{10} - 5 x^{9} + 15 x^{8} - 28 x^{7} + 39 x^{6} - 37 x^{5} + 29 x^{4} - 8 x^{3} + 3 x^{2} + 3 x + 1$ $-\,2^{8}\cdot 13^{6}\cdot 211$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $41.6932394149$
10.0.260724914944.2 $x^{10} - 4 x^{9} + 11 x^{8} - 18 x^{7} + 10 x^{6} + 4 x^{5} - 10 x^{3} + x^{2} + 4 x + 5$ $-\,2^{8}\cdot 13^{6}\cdot 211$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $63.0293174786$
10.0.262451171875.1 $x^{10} + 10 x^{6} - 6 x^{5} + 5 x^{4} + 15 x^{2} - 5 x + 6$ $-\,5^{14}\cdot 43$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $177.258012006$
10.0.271845882880.1 $x^{10} - 4 x^{9} + 11 x^{8} - 20 x^{7} + 16 x^{6} - 6 x^{5} + 16 x^{4} - 20 x^{3} + 11 x^{2} - 4 x + 1$ $-\,2^{10}\cdot 5\cdot 11\cdot 13^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $73.2475793442$
10.0.290380829440.1 $x^{10} - x^{9} + 3 x^{8} + 3 x^{6} + x^{5} + 5 x^{4} - 4 x^{3} - x^{2} + 3 x + 1$ $-\,2^{8}\cdot 5\cdot 13^{6}\cdot 47$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $51.6383525306$
10.0.295323481856.1 $x^{10} - 5 x^{9} + 14 x^{8} - 26 x^{7} + 39 x^{6} - 47 x^{5} + 48 x^{4} - 38 x^{3} + 24 x^{2} - 10 x + 2$ $-\,2^{8}\cdot 13^{6}\cdot 239$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $107.910754106$
10.2.314778037329.1 $x^{10} - x^{9} - 4 x^{8} - 2 x^{7} + 15 x^{6} + x^{5} - 3 x^{4} - 14 x^{3} + x^{2} - 4 x + 1$ $3^{4}\cdot 7\cdot 17^{6}\cdot 23$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $56.9712403218$
10.0.316329754624.1 $x^{10} + 2 x^{8} - 4 x^{6} + 8 x^{2} + 4$ $-\,2^{16}\cdot 13^{6}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $76.8693294589$
10.2.321272407040.1 $x^{10} - 2 x^{9} + x^{8} - 8 x^{7} + 6 x^{6} - 16 x^{5} + 6 x^{4} - 8 x^{3} + x^{2} - 2 x + 1$ $2^{10}\cdot 5\cdot 13^{7}$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $100.059355752$
10.2.323486328125.1 $x^{10} - 5 x^{9} + 5 x^{8} + 10 x^{7} - 20 x^{6} + 4 x^{5} + 15 x^{4} - 15 x^{3} + 5 x - 4$ $5^{14}\cdot 53$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $185.47080037$
10.0.331157711872.1 $x^{10} - 4 x^{9} + 9 x^{8} - 18 x^{7} + 36 x^{6} - 56 x^{5} + 68 x^{4} - 76 x^{3} + 79 x^{2} - 56 x + 19$ $-\,2^{10}\cdot 13^{6}\cdot 67$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $70.0771733251$
10.0.334329468219.1 $x^{10} + 2 x^{8} - 6 x^{7} - 9 x^{6} + 3 x^{5} + 12 x^{4} + 18 x^{3} - 9 x^{2} - 18 x + 9$ $-\,3^{6}\cdot 17^{6}\cdot 19$ $((C_2^4 : C_5):C_4)\times C_2$ (as 10T29) trivial $71.2145167072$
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