all theta curves (type: 2t) newname file num volume inv tr field, root int tr arith 2t_2_1 G2 0 5.333489567 x^2 - x + 2 [0, 1] -7 R(1) Y Y 2t_2_2 G2 35 5.333489567 x^2 - x + 2 [0, 1] -7 R(1) Y Y 2t_3_1 G3_23_0 1 6.354586557 x^3 - x^2 + x + 1 [1, 1] -44 R(-2) Y N 2t_3_2 G3_23_0 6 6.354586557 x^3 - x^2 + x + 1 [1, 1] -44 R(-2) Y N 2t_3_3 G3_23_0 3 6.551743288 x^3 - x^2 + 3*x - 2 [1, 1] -107 R(-2) Y N 2t_3_4 G3_23_0 8 6.551743288 x^3 - x^2 + 3*x - 2 [1, 1] -107 R(-2) Y N 2t_4_1 G4_23_0 28 6.755194816 x^4 + 4*x^2 - x + 2 [0, 2] 2917 R(2) Y N 2t_4_2 G4_23_0 45 6.755194816 x^4 + 4*x^2 - x + 2 [0, 2] 2917 R(-2) Y N 2t_4_3 G4_23_0 13 6.927377112 x^4 - x^3 + 4*x^2 - 3*x + 2 [0, 2] 1929 R(-1) Y N 2t_4_4 G4_23_0 42 6.927377112 x^4 - x^3 + 4*x^2 - 3*x + 2 [0, 2] 1929 R(1) Y N 2t_5_1 G5-9 7 6.952347978 x^5 - x^3 - x^2 - 1 [1, 2] 7684 R(-2) Y N 2t_5_2 G5-9 17 6.952347978 x^5 - x^3 - x^2 - 1 [1, 2] 7684 R(-2) Y N 2t_4_5 G4_23_0 9 6.987763199 x^5 + 5*x^3 - x^2 + 5*x - 2 [1, 2] 77041 R(-3) Y N 2t_4_6 G4_23_0 47 6.987763199 x^5 + 5*x^3 - x^2 + 5*x - 2 [1, 2] 77041 R(-3) Y N 2t_4_7 G4_23_0 23 7.035521457 x^5 - x^4 + x + 1 [1, 2] 5584 R(2) Y N 2t_4_8 G4_23_0 44 7.035521457 x^5 - x^4 + x + 1 [1, 2] 5584 R(2) Y N 2t_5_3 G5-9 3 7.084790037 x^5 - x^4 + 5*x^3 - 4*x^2 + 5*x - 2 [1, 2] 49697 R(-2) Y N 2t_5_4 G5-9 13 7.084790037 x^5 - x^4 + 5*x^3 - 4*x^2 + 5*x - 2 [1, 2] 49697 R(-2) Y N 2t_5_5 G5-9 0 7.142157274 x^7 + 7*x^5 + 14*x^3 - x^2 + 7*x - 2 [1, 3] -123782683 R(3) Y N 2t_5_6 G5-9 10 7.142157274 x^7 + 7*x^5 + 14*x^3 - x^2 + 7*x - 2 [1, 3] -123782683 R(3) Y N 2t_5_7 G5-9 1 7.157517365 x^7 - x^5 - x^2 - 1 [1, 3] -2369276 R(-4) Y N 2t_5_8 G5-9 11 7.157517365 x^7 - x^5 - x^2 - 1 [1, 3] -2369276 R(-4) Y N 2t_5_9 G5-9 5 7.175425922 x^7 + 7*x^5 - x^4 + 14*x^3 - 4*x^2 + 7*x - 2 [1, 3] -88148831 R(4) Y N 2t_5_10 G5-9 15 7.175425922 x^7 + 7*x^5 - x^4 + 14*x^3 - 4*x^2 + 7*x - 2 [1, 3] -88148831 R(4) Y N 2t_5_11 G5-9 6 7.192635929 x^8 + 8*x^6 + 20*x^4 - x^3 + 16*x^2 - 3*x + 2 [0, 4] 5442461517 R(-2) Y N 2t_5_12 G5-9 16 7.192635929 x^8 + 8*x^6 + 20*x^4 - x^3 + 16*x^2 - 3*x + 2 [0, 4] 5442461517 R(-2) Y N 2t_5_13 G5-9 4 7.193764490 x^7 - x^6 + x + 1 [1, 3] -1523968 R(3) Y N 2t_5_14 G5-9 14 7.193764490 x^7 - x^6 + x + 1 [1, 3] -1523968 R(3) Y N 2t_5_15 G5-9 2 7.216515907 x^8 + 8*x^6 - x^5 + 20*x^4 - 5*x^3 + 16*x^2 - 5*x + 2 [0, 4] 3679703653 R(-2) Y N 2t_5_16 G5-9 12 7.216515907 x^8 + 8*x^6 - x^5 + 20*x^4 - 5*x^3 + 16*x^2 - 5*x + 2 [0, 4] 3679703653 R(-2) Y N 2t_4_9 G4_23_0 89 7.327724753 x^2 + 1 [0, 1] -4 R(1) Y Y 2t_4_10 G4_23_0 63 7.517689896 x^3 - x - 2 [1, 1] -104 R(2) Y N 2t_4_11 G4_23_0 73 7.706911803 x^3 + 2*x - 1 [1, 1] -59 R(2) Y N 2t_4_12 G4_23_0 69 7.706911803 x^3 + 2*x - 1 [1, 1] -59 R(-2) Y N 2t_4_13 G4_23_0 71 7.867901276 x^5 - 2*x^4 - 3*x^3 + x^2 + 5*x + 2 [3, 1] -112919 R(-4) Y N 2t_4_14 G4_23_0 68 7.940579248 x^3 - 2*x - 2 [1, 1] -76 R(-2) Y N 2t_4_15 G4_23_0 114 7.940579248 x^3 - 2*x - 2 [1, 1] -76 R(-2) Y N 2t_4_16 G4_23_0 111 8.000234350 x^2 - x + 2 [0, 1] -7 R(1) Y Y *Trace field: x^4 - x^3 + x + 1 [0, 2] 392 R(-1) 2t_5_17 G5-9 24 8.087973789 x^4 - 5*x^2 - 4 [2, 1] -6724 R(3) Y N 2t_5_18 G5-9 25 8.195703083 x^5 - x^4 - 2*x^3 - 3*x^2 - x - 2 [1, 2] 65516 R(-2) Y N 2t_5_19 G5-9 29 8.233665208 x^6 - 2*x^5 + 2*x^4 - 4*x^3 - 4*x^2 + 4*x + 4 [2, 2] 1738384 R(3) Y N 2t_5_20 G5-9 28 8.338374585 x^6 - x^5 - x^4 - 4*x^3 - 2*x^2 + x - 4 [2, 2] 2463644 R(4) Y N 2t_5_21 G5-9 23 8.355502146 x^4 - 2*x^3 - x + 4 [0, 2] 3173 R(2) Y N 2t_4_17 G4_23_0 99 8.355502146 x^4 - 2*x^3 - x + 4 [0, 2] 3173 R(2) Y N 2t_5_22 G5-9 20 8.372209945 x^7 - 2*x^6 - 5*x^5 + 10*x^4 + 11*x^3 - 16*x^2 - 12*x + 4 [3, 2] 87357184 R(-4) Y N 2t_5_23 G5-9 22 8.388819035 x^5 + x^3 - 3*x^2 - 1 [1, 2] 26084 R(2) Y N 2t_5_24 G5-9 21 8.403864479 x^7 - 2*x^6 - 5*x^5 + 11*x^4 + 10*x^3 - 20*x^2 - 9*x + 10 [3, 2] 186794473 R(-4) Y N 2t_5_25 G5-9 18 8.487060022 x^8 - x^7 - 7*x^6 + 5*x^5 + 16*x^4 - 11*x^3 - 8*x^2 + 9*x - 2 [4, 2] 17112324248 R(6) Y N 2t_5_26 G5-9 27 8.527312899 x^9 - 10*x^7 + 34*x^5 - 5*x^4 - 44*x^3 + 19*x^2 + 14*x - 8 [5, 2] 5328053407637 R(7) Y N 2t_5_27 G5-9 19 8.546347793 x^8 + 4*x^6 - 4*x^5 + 2*x^3 - 6*x^2 - 2*x + 1 [4, 2] 2498992192 R(6) Y N 2t_5_28 G5-9 26 8.565387019 x^9 - 10*x^7 - x^6 + 34*x^5 + x^4 - 44*x^3 + 11*x^2 + 18*x - 8 [5, 2] 1944699708173 R(7) Y N 2t_5_29 G5-9 97 8.612415201 x^4 - x^2 - 1 [2, 1] -400 R(3) Y N 2t_5_30 G5-9 55 8.778658803 x^5 - 2*x^4 + 3*x^3 - 2*x + 2 [1, 2] 15856 R(2) Y N 2t_5_31 G5-9 75 8.778658803 x^5 - 2*x^4 + 3*x^3 - 2*x + 2 [1, 2] 15856 R(-2) Y N 2t_5_32 G5-9 56 8.793345604 x^4 + x^2 - x + 1 [0, 2] 257 R(2) Y N 2t_5_33 G5-9 73 8.806310033 x^4 - 4*x^2 - 2*x + 2 [2, 1] -1968 R(-3) Y N 2t_5_34 G5-9 52 8.908747390 x^5 - x^4 - 3*x^2 + x - 2 [1, 2] 31048 R(-3) Y N 2t_4_18 G4_23_0 91 8.929317823 x^3 - x^2 - 2 [1, 1] -116 R(-2) Y N 2t_5_35 G5-9 57 8.967360849 x^4 - x^3 + 2*x^2 - x + 2 [0, 2] 697 R(-2) Y N 2t_5_36 G5-9 76 8.967360849 x^4 - x^3 + 2*x^2 - x + 2 [0, 2] 697 R(-2) Y N 2t_5_37 G5-9 58 9.045557688 x^5 - x^4 - x^3 - x^2 + 2*x - 4 [1, 2] 73532 R(3) Y N 2t_5_38 G5-9 61 9.272866192 x^6 - 2*x^5 - 2*x^4 + 4*x^3 + x^2 - 3*x + 4 [0, 3] -4319731 R(3) Y N 2t_5_39 G5-9 60 9.353881135 x^6 - 3*x^5 - x^4 + 6*x^3 + x^2 - 2*x + 2 [0, 3] -2944468 R(-3) Y N 2t_5_40 G5-9 62 9.437583617 x^4 - x^3 - 2*x + 4 [0, 2] 2312 R(1) Y N 2t_5_41 G5-9 81 9.491889687 x^4 + x^2 - x + 1 [0, 2] 257 R(2) Y N 2t_5_42 G5-9 93 9.491889687 x^4 + x^2 - x + 1 [0, 2] 257 R(-2) Y N 2t_5_43 G5-9 68 9.503403931 x^4 - x^3 + 2*x^2 - 2*x + 2 [0, 2] 788 R(1) N N 2t_5_44 G5-9 59 10.149416064 x^2 - x + 1 [0, 1] -3 R(1) Y Y 2t_5_45 G5-9 67 10.396867321 x^3 - x^2 + x + 2 [1, 1] -139 R(2) Y N 2t_5_46 G5-9 8 10.666979134 x^2 - x + 2 [0, 1] -7 R(1) Y Y 2t_5_47 G5-9 9 10.666979134 x^2 - x + 2 [0, 1] -7 R(1) N N 2t_5_48 G5-9 30 10.666979134 x^2 - x + 2 [0, 1] -7 R(1) Y Y 2t_5_49 G5-9 31 10.666979134 x^2 - x + 2 [0, 1] -7 R(1) Y Y