Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 109.13 | ||
Character | \(\chi\) | \(=\) | 230.109 |
Dual form | 230.3.i.a.19.13 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{7}{22}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.28641 | + | 0.587486i | 0.643207 | + | 0.293743i | ||||
\(3\) | −1.62857 | + | 5.54639i | −0.542856 | + | 1.84880i | −0.0143001 | + | 0.999898i | \(0.504552\pi\) |
−0.528556 | + | 0.848899i | \(0.677266\pi\) | |||||||
\(4\) | 1.30972 | + | 1.51150i | 0.327430 | + | 0.377875i | ||||
\(5\) | 0.750729 | + | 4.94332i | 0.150146 | + | 0.988664i | ||||
\(6\) | −5.35343 | + | 6.17819i | −0.892239 | + | 1.02970i | ||||
\(7\) | −0.543186 | + | 3.77794i | −0.0775980 | + | 0.539706i | 0.913528 | + | 0.406777i | \(0.133347\pi\) |
−0.991126 | + | 0.132929i | \(0.957562\pi\) | |||||||
\(8\) | 0.796860 | + | 2.71386i | 0.0996075 | + | 0.339232i | ||||
\(9\) | −20.5389 | − | 13.1996i | −2.28210 | − | 1.46662i | ||||
\(10\) | −1.93838 | + | 6.80020i | −0.193838 | + | 0.680020i | ||||
\(11\) | 15.1678 | − | 6.92691i | 1.37889 | − | 0.629719i | 0.418461 | − | 0.908235i | \(-0.362570\pi\) |
0.960432 | + | 0.278515i | \(0.0898423\pi\) | |||||||
\(12\) | −10.5163 | + | 4.80265i | −0.876361 | + | 0.400221i | ||||
\(13\) | 6.09510 | − | 0.876343i | 0.468854 | − | 0.0674110i | 0.0961611 | − | 0.995366i | \(-0.469344\pi\) |
0.372693 | + | 0.927955i | \(0.378434\pi\) | |||||||
\(14\) | −2.91825 | + | 4.54088i | −0.208446 | + | 0.324349i | ||||
\(15\) | −28.6402 | − | 3.88669i | −1.90935 | − | 0.259113i | ||||
\(16\) | −0.569259 | + | 3.95929i | −0.0355787 | + | 0.247455i | ||||
\(17\) | 8.15256 | − | 9.40856i | 0.479563 | − | 0.553445i | −0.463484 | − | 0.886105i | \(-0.653401\pi\) |
0.943047 | + | 0.332661i | \(0.107946\pi\) | |||||||
\(18\) | −18.6670 | − | 29.0464i | −1.03706 | − | 1.61369i | ||||
\(19\) | 18.5815 | − | 16.1009i | 0.977973 | − | 0.847418i | −0.0103263 | − | 0.999947i | \(-0.503287\pi\) |
0.988299 | + | 0.152528i | \(0.0487416\pi\) | |||||||
\(20\) | −6.48858 | + | 7.60910i | −0.324429 | + | 0.380455i | ||||
\(21\) | −20.0693 | − | 9.16535i | −0.955681 | − | 0.436445i | ||||
\(22\) | 23.5816 | 1.07189 | ||||||||
\(23\) | 1.00299 | + | 22.9781i | 0.0436081 | + | 0.999049i | ||||
\(24\) | −16.3498 | −0.681243 | ||||||||
\(25\) | −23.8728 | + | 7.42219i | −0.954912 | + | 0.296888i | ||||
\(26\) | 8.35566 | + | 2.45344i | 0.321372 | + | 0.0943632i | ||||
\(27\) | 67.3412 | − | 58.3514i | 2.49412 | − | 2.16116i | ||||
\(28\) | −6.42177 | + | 4.12702i | −0.229349 | + | 0.147394i | ||||
\(29\) | −26.1605 | + | 30.1908i | −0.902086 | + | 1.04106i | 0.0968666 | + | 0.995297i | \(0.469118\pi\) |
−0.998952 | + | 0.0457649i | \(0.985427\pi\) | |||||||
\(30\) | −34.5598 | − | 21.8256i | −1.15199 | − | 0.727520i | ||||
\(31\) | −37.5160 | + | 11.0157i | −1.21019 | + | 0.355345i | −0.823742 | − | 0.566965i | \(-0.808117\pi\) |
−0.386451 | + | 0.922310i | \(0.626299\pi\) | |||||||
\(32\) | −3.05833 | + | 4.75885i | −0.0955727 | + | 0.148714i | ||||
\(33\) | 13.7175 | + | 95.4076i | 0.415683 | + | 2.89114i | ||||
\(34\) | 16.0150 | − | 7.31379i | 0.471028 | − | 0.215111i | ||||
\(35\) | −19.0833 | + | 0.151069i | −0.545239 | + | 0.00431627i | ||||
\(36\) | −6.94914 | − | 48.3323i | −0.193032 | − | 1.34256i | ||||
\(37\) | −17.7676 | − | 11.4186i | −0.480207 | − | 0.308610i | 0.278050 | − | 0.960567i | \(-0.410312\pi\) |
−0.758256 | + | 0.651957i | \(0.773948\pi\) | |||||||
\(38\) | 33.3626 | − | 9.79613i | 0.877962 | − | 0.257793i | ||||
\(39\) | −5.06574 | + | 35.2330i | −0.129891 | + | 0.903410i | ||||
\(40\) | −12.8172 | + | 5.97650i | −0.320431 | + | 0.149413i | ||||
\(41\) | 29.7061 | − | 19.0910i | 0.724539 | − | 0.465633i | −0.125674 | − | 0.992072i | \(-0.540109\pi\) |
0.850213 | + | 0.526438i | \(0.176473\pi\) | |||||||
\(42\) | −20.4329 | − | 23.5809i | −0.486498 | − | 0.561449i | ||||
\(43\) | −3.53813 | − | 1.03889i | −0.0822821 | − | 0.0241602i | 0.240332 | − | 0.970691i | \(-0.422744\pi\) |
−0.322615 | + | 0.946530i | \(0.604562\pi\) | |||||||
\(44\) | 30.3357 | + | 13.8538i | 0.689447 | + | 0.314860i | ||||
\(45\) | 49.8305 | − | 111.440i | 1.10734 | − | 2.47644i | ||||
\(46\) | −12.2091 | + | 30.1486i | −0.265414 | + | 0.655405i | ||||
\(47\) | − | 20.2106i | − | 0.430012i | −0.976613 | − | 0.215006i | \(-0.931023\pi\) | ||
0.976613 | − | 0.215006i | \(-0.0689771\pi\) | |||||||
\(48\) | −21.0327 | − | 9.60530i | −0.438180 | − | 0.200110i | ||||
\(49\) | 33.0374 | + | 9.70065i | 0.674232 | + | 0.197972i | ||||
\(50\) | −35.0707 | − | 4.47692i | −0.701415 | − | 0.0895385i | ||||
\(51\) | 38.9065 | + | 60.5398i | 0.762873 | + | 1.18705i | ||||
\(52\) | 9.30748 | + | 8.06498i | 0.178990 | + | 0.155096i | ||||
\(53\) | −2.70111 | + | 18.7866i | −0.0509643 | + | 0.354464i | 0.948343 | + | 0.317247i | \(0.102758\pi\) |
−0.999307 | + | 0.0372173i | \(0.988151\pi\) | |||||||
\(54\) | 120.909 | − | 35.5022i | 2.23906 | − | 0.657447i | ||||
\(55\) | 45.6289 | + | 69.7792i | 0.829616 | + | 1.26871i | ||||
\(56\) | −10.6856 | + | 1.53636i | −0.190815 | + | 0.0274350i | ||||
\(57\) | 59.0409 | + | 129.282i | 1.03581 | + | 2.26810i | ||||
\(58\) | −51.3899 | + | 23.4690i | −0.886032 | + | 0.404637i | ||||
\(59\) | −7.82910 | − | 54.4526i | −0.132697 | − | 0.922925i | −0.942019 | − | 0.335560i | \(-0.891074\pi\) |
0.809322 | − | 0.587365i | \(-0.199835\pi\) | |||||||
\(60\) | −31.6359 | − | 48.3801i | −0.527266 | − | 0.806335i | ||||
\(61\) | 27.3810 | + | 93.2510i | 0.448868 | + | 1.52870i | 0.804427 | + | 0.594051i | \(0.202472\pi\) |
−0.355559 | + | 0.934654i | \(0.615710\pi\) | |||||||
\(62\) | −54.7326 | − | 7.86937i | −0.882785 | − | 0.126925i | ||||
\(63\) | 61.0236 | − | 70.4250i | 0.968629 | − | 1.11786i | ||||
\(64\) | −6.73003 | + | 4.32513i | −0.105157 | + | 0.0675801i | ||||
\(65\) | 8.90782 | + | 29.4721i | 0.137043 | + | 0.453418i | ||||
\(66\) | −38.4042 | + | 130.793i | −0.581881 | + | 1.98171i | ||||
\(67\) | 30.8015 | − | 67.4459i | 0.459724 | − | 1.00666i | −0.527826 | − | 0.849352i | \(-0.676993\pi\) |
0.987550 | − | 0.157303i | \(-0.0502799\pi\) | |||||||
\(68\) | 24.8986 | 0.366156 | ||||||||
\(69\) | −129.079 | − | 31.8584i | −1.87071 | − | 0.461717i | ||||
\(70\) | −24.6378 | − | 11.0169i | −0.351969 | − | 0.157384i | ||||
\(71\) | 15.0787 | − | 33.0178i | 0.212377 | − | 0.465040i | −0.773223 | − | 0.634134i | \(-0.781357\pi\) |
0.985600 | + | 0.169094i | \(0.0540841\pi\) | |||||||
\(72\) | 19.4551 | − | 66.2579i | 0.270209 | − | 0.920248i | ||||
\(73\) | −22.4766 | + | 19.4760i | −0.307898 | + | 0.266795i | −0.795079 | − | 0.606506i | \(-0.792571\pi\) |
0.487181 | + | 0.873301i | \(0.338025\pi\) | |||||||
\(74\) | −16.1483 | − | 25.1272i | −0.218220 | − | 0.339557i | ||||
\(75\) | −2.28788 | − | 144.495i | −0.0305051 | − | 1.92661i | ||||
\(76\) | 48.6731 | + | 6.99814i | 0.640436 | + | 0.0920808i | ||||
\(77\) | 17.9305 | + | 61.0657i | 0.232864 | + | 0.793061i | ||||
\(78\) | −27.2155 | + | 42.3482i | −0.348917 | + | 0.542925i | ||||
\(79\) | 83.0782 | − | 11.9448i | 1.05162 | − | 0.151200i | 0.405237 | − | 0.914212i | \(-0.367189\pi\) |
0.646385 | + | 0.763011i | \(0.276280\pi\) | |||||||
\(80\) | −19.9994 | + | 0.158321i | −0.249992 | + | 0.00197901i | ||||
\(81\) | 122.690 | + | 268.654i | 1.51469 | + | 3.31672i | ||||
\(82\) | 49.4300 | − | 7.10697i | 0.602805 | − | 0.0866703i | ||||
\(83\) | −12.2049 | − | 7.84362i | −0.147047 | − | 0.0945014i | 0.465049 | − | 0.885285i | \(-0.346037\pi\) |
−0.612096 | + | 0.790784i | \(0.709673\pi\) | |||||||
\(84\) | −12.4318 | − | 42.3388i | −0.147998 | − | 0.504033i | ||||
\(85\) | 52.6299 | + | 33.2374i | 0.619175 | + | 0.391029i | ||||
\(86\) | −3.94117 | − | 3.41504i | −0.0458276 | − | 0.0397098i | ||||
\(87\) | −124.846 | − | 194.264i | −1.43501 | − | 2.23292i | ||||
\(88\) | 30.8853 | + | 35.6435i | 0.350969 | + | 0.405040i | ||||
\(89\) | 31.9185 | − | 108.704i | 0.358635 | − | 1.22140i | −0.560733 | − | 0.827997i | \(-0.689480\pi\) |
0.919367 | − | 0.393400i | \(-0.128701\pi\) | |||||||
\(90\) | 129.572 | − | 114.083i | 1.43969 | − | 1.26759i | ||||
\(91\) | 23.5029i | 0.258274i | ||||||||
\(92\) | −33.4178 | + | 31.6110i | −0.363237 | + | 0.343597i | ||||
\(93\) | − | 226.018i | − | 2.43030i | ||||||
\(94\) | 11.8734 | − | 25.9992i | 0.126313 | − | 0.276587i | ||||
\(95\) | 93.5418 | + | 79.7668i | 0.984650 | + | 0.839650i | ||||
\(96\) | −21.4137 | − | 24.7128i | −0.223060 | − | 0.257425i | ||||
\(97\) | −142.673 | + | 91.6905i | −1.47086 | + | 0.945262i | −0.472917 | + | 0.881107i | \(0.656799\pi\) |
−0.997940 | + | 0.0641554i | \(0.979565\pi\) | |||||||
\(98\) | 36.8007 | + | 31.8880i | 0.375518 | + | 0.325388i | ||||
\(99\) | −402.963 | − | 57.9373i | −4.07033 | − | 0.585226i | ||||
\(100\) | −42.4854 | − | 26.3627i | −0.424854 | − | 0.263627i | ||||
\(101\) | −65.7583 | − | 42.2603i | −0.651073 | − | 0.418419i | 0.172985 | − | 0.984924i | \(-0.444659\pi\) |
−0.824058 | + | 0.566505i | \(0.808295\pi\) | |||||||
\(102\) | 14.4837 | + | 100.736i | 0.141997 | + | 0.987610i | ||||
\(103\) | −28.4575 | − | 62.3131i | −0.276286 | − | 0.604982i | 0.719720 | − | 0.694264i | \(-0.244270\pi\) |
−0.996006 | + | 0.0892822i | \(0.971543\pi\) | |||||||
\(104\) | 7.23521 | + | 15.8429i | 0.0695694 | + | 0.152336i | ||||
\(105\) | 30.2406 | − | 106.090i | 0.288006 | − | 1.01038i | ||||
\(106\) | −14.5116 | + | 22.5805i | −0.136902 | + | 0.213024i | ||||
\(107\) | 2.53780 | − | 0.745166i | 0.0237178 | − | 0.00696416i | −0.269852 | − | 0.962902i | \(-0.586975\pi\) |
0.293570 | + | 0.955938i | \(0.405157\pi\) | |||||||
\(108\) | 176.396 | + | 25.3620i | 1.63330 | + | 0.234833i | ||||
\(109\) | 85.3967 | + | 73.9966i | 0.783456 | + | 0.678868i | 0.951752 | − | 0.306868i | \(-0.0992811\pi\) |
−0.168296 | + | 0.985736i | \(0.553827\pi\) | |||||||
\(110\) | 17.7034 | + | 116.571i | 0.160940 | + | 1.05974i | ||||
\(111\) | 92.2676 | − | 79.9504i | 0.831240 | − | 0.720273i | ||||
\(112\) | −14.6487 | − | 4.30126i | −0.130792 | − | 0.0384041i | ||||
\(113\) | −25.6108 | + | 56.0798i | −0.226644 | + | 0.496281i | −0.988454 | − | 0.151519i | \(-0.951584\pi\) |
0.761810 | + | 0.647800i | \(0.224311\pi\) | |||||||
\(114\) | 200.995i | 1.76312i | ||||||||
\(115\) | −112.835 | + | 22.2084i | −0.981176 | + | 0.193117i | ||||
\(116\) | −79.8963 | −0.688761 | ||||||||
\(117\) | −136.754 | − | 62.4535i | −1.16884 | − | 0.533791i | ||||
\(118\) | 21.9186 | − | 74.6480i | 0.185751 | − | 0.632610i | ||||
\(119\) | 31.1166 | + | 35.9105i | 0.261484 | + | 0.301769i | ||||
\(120\) | −12.2743 | − | 80.8225i | −0.102286 | − | 0.673521i | ||||
\(121\) | 102.843 | − | 118.687i | 0.849939 | − | 0.980882i | ||||
\(122\) | −19.5604 | + | 136.045i | −0.160331 | + | 1.11513i | ||||
\(123\) | 57.5075 | + | 195.853i | 0.467541 | + | 1.59230i | ||||
\(124\) | −65.7857 | − | 42.2779i | −0.530530 | − | 0.340951i | ||||
\(125\) | −54.6123 | − | 112.439i | −0.436898 | − | 0.899511i | ||||
\(126\) | 119.875 | − | 54.7452i | 0.951391 | − | 0.434486i | ||||
\(127\) | 72.9488 | − | 33.3146i | 0.574400 | − | 0.262320i | −0.106966 | − | 0.994263i | \(-0.534114\pi\) |
0.681366 | + | 0.731943i | \(0.261386\pi\) | |||||||
\(128\) | −11.1986 | + | 1.61011i | −0.0874887 | + | 0.0125790i | ||||
\(129\) | 11.5242 | − | 17.9320i | 0.0893346 | − | 0.139007i | ||||
\(130\) | −5.85532 | + | 43.1466i | −0.0450409 | + | 0.331897i | ||||
\(131\) | −1.94305 | + | 13.5142i | −0.0148324 | + | 0.103162i | −0.995893 | − | 0.0905406i | \(-0.971141\pi\) |
0.981060 | + | 0.193702i | \(0.0620496\pi\) | |||||||
\(132\) | −126.242 | + | 145.691i | −0.956381 | + | 1.10372i | ||||
\(133\) | 50.7352 | + | 78.9455i | 0.381468 | + | 0.593575i | ||||
\(134\) | 79.2470 | − | 68.6679i | 0.591395 | − | 0.512447i | ||||
\(135\) | 339.005 | + | 289.083i | 2.51115 | + | 2.14135i | ||||
\(136\) | 32.0299 | + | 14.6276i | 0.235514 | + | 0.107556i | ||||
\(137\) | 20.9822 | 0.153155 | 0.0765775 | − | 0.997064i | \(-0.475601\pi\) | ||||
0.0765775 | + | 0.997064i | \(0.475601\pi\) | |||||||
\(138\) | −147.333 | − | 116.815i | −1.06763 | − | 0.846487i | ||||
\(139\) | 228.591 | 1.64454 | 0.822269 | − | 0.569100i | \(-0.192708\pi\) | ||||
0.822269 | + | 0.569100i | \(0.192708\pi\) | |||||||
\(140\) | −25.2222 | − | 28.6466i | −0.180159 | − | 0.204619i | ||||
\(141\) | 112.096 | + | 32.9143i | 0.795005 | + | 0.233434i | ||||
\(142\) | 38.7950 | − | 33.6160i | 0.273204 | − | 0.236733i | ||||
\(143\) | 86.3791 | − | 55.5125i | 0.604050 | − | 0.388199i | ||||
\(144\) | 63.9528 | − | 73.8055i | 0.444117 | − | 0.512538i | ||||
\(145\) | −168.882 | − | 106.654i | −1.16471 | − | 0.735548i | ||||
\(146\) | −40.3560 | + | 11.8496i | −0.276411 | + | 0.0811617i | ||||
\(147\) | −107.607 | + | 167.440i | −0.732021 | + | 1.13905i | ||||
\(148\) | −6.01150 | − | 41.8109i | −0.0406183 | − | 0.282506i | ||||
\(149\) | −35.3123 | + | 16.1266i | −0.236995 | + | 0.108232i | −0.530373 | − | 0.847765i | \(-0.677948\pi\) |
0.293378 | + | 0.955997i | \(0.405221\pi\) | |||||||
\(150\) | 81.9458 | − | 187.225i | 0.546305 | − | 1.24817i | ||||
\(151\) | 0.442458 | + | 3.07736i | 0.00293019 | + | 0.0203799i | 0.991234 | − | 0.132117i | \(-0.0421776\pi\) |
−0.988304 | + | 0.152497i | \(0.951268\pi\) | |||||||
\(152\) | 58.5025 | + | 37.5973i | 0.384885 | + | 0.247350i | ||||
\(153\) | −291.634 | + | 85.6314i | −1.90610 | + | 0.559682i | ||||
\(154\) | −12.8092 | + | 89.0897i | −0.0831764 | + | 0.578505i | ||||
\(155\) | −82.6184 | − | 177.184i | −0.533022 | − | 1.14312i | ||||
\(156\) | −59.8894 | + | 38.4885i | −0.383906 | + | 0.246721i | ||||
\(157\) | −52.4465 | − | 60.5265i | −0.334054 | − | 0.385519i | 0.563727 | − | 0.825961i | \(-0.309367\pi\) |
−0.897781 | + | 0.440442i | \(0.854822\pi\) | |||||||
\(158\) | 113.890 | + | 33.4412i | 0.720825 | + | 0.211653i | ||||
\(159\) | −99.7989 | − | 45.5767i | −0.627666 | − | 0.286646i | ||||
\(160\) | −25.8205 | − | 11.5457i | −0.161378 | − | 0.0721605i | ||||
\(161\) | −87.3548 | − | 8.69216i | −0.542576 | − | 0.0539886i | ||||
\(162\) | 417.679i | 2.57827i | ||||||||
\(163\) | 120.572 | + | 55.0633i | 0.739704 | + | 0.337811i | 0.749379 | − | 0.662142i | \(-0.230352\pi\) |
−0.00967467 | + | 0.999953i | \(0.503080\pi\) | |||||||
\(164\) | 67.7627 | + | 19.8969i | 0.413187 | + | 0.121323i | ||||
\(165\) | −461.332 | + | 139.435i | −2.79595 | + | 0.845063i | ||||
\(166\) | −11.0926 | − | 17.2603i | −0.0668226 | − | 0.103978i | ||||
\(167\) | −80.8209 | − | 70.0317i | −0.483957 | − | 0.419351i | 0.378407 | − | 0.925639i | \(-0.376472\pi\) |
−0.862365 | + | 0.506288i | \(0.831017\pi\) | |||||||
\(168\) | 8.88100 | − | 61.7687i | 0.0528631 | − | 0.367671i | ||||
\(169\) | −125.772 | + | 36.9300i | −0.744213 | + | 0.218521i | ||||
\(170\) | 48.1773 | + | 73.6764i | 0.283396 | + | 0.433391i | ||||
\(171\) | −594.169 | + | 85.4286i | −3.47467 | + | 0.499583i | ||||
\(172\) | −3.06369 | − | 6.70854i | −0.0178121 | − | 0.0390031i | ||||
\(173\) | 203.244 | − | 92.8186i | 1.17482 | − | 0.536524i | 0.270228 | − | 0.962796i | \(-0.412901\pi\) |
0.904595 | + | 0.426273i | \(0.140174\pi\) | |||||||
\(174\) | −46.4762 | − | 323.249i | −0.267105 | − | 1.85775i | ||||
\(175\) | −15.0732 | − | 94.2217i | −0.0861326 | − | 0.538410i | ||||
\(176\) | 18.7912 | + | 63.9970i | 0.106768 | + | 0.363619i | ||||
\(177\) | 314.765 | + | 45.2564i | 1.77834 | + | 0.255686i | ||||
\(178\) | 104.923 | − | 121.087i | 0.589453 | − | 0.680265i | ||||
\(179\) | −38.3478 | + | 24.6447i | −0.214234 | + | 0.137680i | −0.643357 | − | 0.765566i | \(-0.722459\pi\) |
0.429123 | + | 0.903246i | \(0.358823\pi\) | |||||||
\(180\) | 233.705 | − | 70.6363i | 1.29836 | − | 0.392424i | ||||
\(181\) | −51.2957 | + | 174.697i | −0.283402 | + | 0.965178i | 0.687597 | + | 0.726093i | \(0.258666\pi\) |
−0.970999 | + | 0.239085i | \(0.923152\pi\) | |||||||
\(182\) | −13.8076 | + | 30.2345i | −0.0758662 | + | 0.166124i | ||||
\(183\) | −561.798 | −3.06993 | ||||||||
\(184\) | −61.5601 | + | 21.0323i | −0.334566 | + | 0.114306i | ||||
\(185\) | 43.1070 | − | 96.4034i | 0.233011 | − | 0.521099i | ||||
\(186\) | 132.782 | − | 290.753i | 0.713884 | − | 1.56319i | ||||
\(187\) | 58.4844 | − | 199.180i | 0.312751 | − | 1.06513i | ||||
\(188\) | 30.5483 | − | 26.4702i | 0.162491 | − | 0.140799i | ||||
\(189\) | 183.869 | + | 286.107i | 0.972854 | + | 1.51379i | ||||
\(190\) | 73.4716 | + | 157.568i | 0.386693 | + | 0.829303i | ||||
\(191\) | −240.417 | − | 34.5667i | −1.25873 | − | 0.180978i | −0.519521 | − | 0.854457i | \(-0.673890\pi\) |
−0.739206 | + | 0.673480i | \(0.764799\pi\) | |||||||
\(192\) | −13.0285 | − | 44.3711i | −0.0678570 | − | 0.231100i | ||||
\(193\) | 145.200 | − | 225.935i | 0.752331 | − | 1.17065i | −0.228071 | − | 0.973644i | \(-0.573242\pi\) |
0.980402 | − | 0.197005i | \(-0.0631217\pi\) | |||||||
\(194\) | −237.404 | + | 34.1335i | −1.22373 | + | 0.175946i | ||||
\(195\) | −177.971 | + | 1.40887i | −0.912672 | + | 0.00722497i | ||||
\(196\) | 28.6072 | + | 62.6411i | 0.145955 | + | 0.319598i | ||||
\(197\) | −301.100 | + | 43.2916i | −1.52842 | + | 0.219754i | −0.854658 | − | 0.519191i | \(-0.826233\pi\) |
−0.673766 | + | 0.738945i | \(0.735324\pi\) | |||||||
\(198\) | −484.340 | − | 311.266i | −2.44616 | − | 1.57205i | ||||
\(199\) | 58.6417 | + | 199.715i | 0.294682 | + | 1.00359i | 0.965159 | + | 0.261664i | \(0.0842713\pi\) |
−0.670477 | + | 0.741930i | \(0.733911\pi\) | |||||||
\(200\) | −39.1660 | − | 58.8729i | −0.195830 | − | 0.294365i | ||||
\(201\) | 323.919 | + | 280.677i | 1.61154 | + | 1.39640i | ||||
\(202\) | −59.7651 | − | 92.9963i | −0.295867 | − | 0.460378i | ||||
\(203\) | −99.8490 | − | 115.232i | −0.491867 | − | 0.567645i | ||||
\(204\) | −40.5491 | + | 138.097i | −0.198770 | + | 0.676948i | ||||
\(205\) | 116.674 | + | 132.515i | 0.569141 | + | 0.646413i | ||||
\(206\) | − | 96.8788i | − | 0.470286i | ||||||
\(207\) | 282.701 | − | 485.185i | 1.36570 | − | 2.34389i | ||||
\(208\) | 24.6311i | 0.118419i | ||||||||
\(209\) | 170.311 | − | 372.929i | 0.814884 | − | 1.78435i | ||||
\(210\) | 101.228 | − | 118.709i | 0.482039 | − | 0.565283i | ||||
\(211\) | 137.216 | + | 158.356i | 0.650315 | + | 0.750503i | 0.981163 | − | 0.193181i | \(-0.0618803\pi\) |
−0.330848 | + | 0.943684i | \(0.607335\pi\) | |||||||
\(212\) | −31.9337 | + | 20.5225i | −0.150630 | + | 0.0968043i | ||||
\(213\) | 158.573 | + | 137.404i | 0.744474 | + | 0.645090i | ||||
\(214\) | 3.70244 | + | 0.532330i | 0.0173011 | + | 0.00248752i | ||||
\(215\) | 2.47938 | − | 18.2700i | 0.0115320 | − | 0.0849769i | ||||
\(216\) | 212.019 | + | 136.256i | 0.981569 | + | 0.630816i | ||||
\(217\) | −21.2385 | − | 147.717i | −0.0978731 | − | 0.680722i | ||||
\(218\) | 66.3835 | + | 145.360i | 0.304511 | + | 0.666787i | ||||
\(219\) | −71.4172 | − | 156.382i | −0.326106 | − | 0.714072i | ||||
\(220\) | −45.7100 | + | 160.359i | −0.207773 | + | 0.728906i | ||||
\(221\) | 41.4456 | − | 64.4906i | 0.187537 | − | 0.291813i | ||||
\(222\) | 165.664 | − | 48.6434i | 0.746234 | − | 0.219114i | ||||
\(223\) | 372.976 | + | 53.6258i | 1.67254 | + | 0.240475i | 0.912403 | − | 0.409292i | \(-0.134224\pi\) |
0.760134 | + | 0.649767i | \(0.225133\pi\) | |||||||
\(224\) | −16.3174 | − | 14.1391i | −0.0728456 | − | 0.0631210i | ||||
\(225\) | 588.292 | + | 162.667i | 2.61463 | + | 0.722964i | ||||
\(226\) | −65.8921 | + | 57.0959i | −0.291558 | + | 0.252637i | ||||
\(227\) | −141.940 | − | 41.6774i | −0.625288 | − | 0.183601i | −0.0462871 | − | 0.998928i | \(-0.514739\pi\) |
−0.579001 | + | 0.815327i | \(0.696557\pi\) | |||||||
\(228\) | −118.082 | + | 258.563i | −0.517903 | + | 1.13405i | ||||
\(229\) | − | 194.730i | − | 0.850351i | −0.905111 | − | 0.425175i | \(-0.860212\pi\) | ||
0.905111 | − | 0.425175i | \(-0.139788\pi\) | |||||||
\(230\) | −158.200 | − | 37.7198i | −0.687826 | − | 0.163999i | ||||
\(231\) | −367.895 | −1.59262 | ||||||||
\(232\) | −102.780 | − | 46.9379i | −0.443016 | − | 0.202319i | ||||
\(233\) | −41.9651 | + | 142.920i | −0.180108 | + | 0.613391i | 0.819102 | + | 0.573648i | \(0.194472\pi\) |
−0.999210 | + | 0.0397429i | \(0.987346\pi\) | |||||||
\(234\) | −139.232 | − | 160.682i | −0.595008 | − | 0.686676i | ||||
\(235\) | 99.9073 | − | 15.1727i | 0.425137 | − | 0.0645645i | ||||
\(236\) | 72.0511 | − | 83.1514i | 0.305301 | − | 0.352336i | ||||
\(237\) | −69.0476 | + | 480.237i | −0.291340 | + | 2.02632i | ||||
\(238\) | 18.9320 | + | 64.4763i | 0.0795460 | + | 0.270909i | ||||
\(239\) | 101.483 | + | 65.2193i | 0.424616 | + | 0.272884i | 0.735449 | − | 0.677581i | \(-0.236971\pi\) |
−0.310833 | + | 0.950465i | \(0.600608\pi\) | |||||||
\(240\) | 31.6922 | − | 111.182i | 0.132051 | − | 0.463259i | ||||
\(241\) | −179.755 | + | 82.0916i | −0.745873 | + | 0.340629i | −0.751833 | − | 0.659353i | \(-0.770830\pi\) |
0.00596001 | + | 0.999982i | \(0.498103\pi\) | |||||||
\(242\) | 202.025 | − | 92.2617i | 0.834814 | − | 0.381247i | ||||
\(243\) | −896.087 | + | 128.838i | −3.68760 | + | 0.530197i | ||||
\(244\) | −105.087 | + | 163.519i | −0.430686 | + | 0.670160i | ||||
\(245\) | −23.1513 | + | 170.597i | −0.0944950 | + | 0.696314i | ||||
\(246\) | −41.0821 | + | 285.732i | −0.167000 | + | 1.16151i | ||||
\(247\) | 99.1461 | − | 114.421i | 0.401401 | − | 0.463242i | ||||
\(248\) | −59.7900 | − | 93.0350i | −0.241089 | − | 0.375141i | ||||
\(249\) | 63.3803 | − | 54.9193i | 0.254539 | − | 0.220559i | ||||
\(250\) | −4.19777 | − | 176.727i | −0.0167911 | − | 0.706907i | ||||
\(251\) | −130.163 | − | 59.4434i | −0.518578 | − | 0.236826i | 0.138892 | − | 0.990308i | \(-0.455646\pi\) |
−0.657470 | + | 0.753481i | \(0.728373\pi\) | |||||||
\(252\) | 186.371 | 0.739569 | ||||||||
\(253\) | 174.381 | + | 341.581i | 0.689251 | + | 1.35012i | ||||
\(254\) | 113.414 | 0.446513 | ||||||||
\(255\) | −270.059 | + | 237.776i | −1.05906 | + | 0.932457i | ||||
\(256\) | −15.3519 | − | 4.50772i | −0.0599683 | − | 0.0176083i | ||||
\(257\) | 346.782 | − | 300.488i | 1.34935 | − | 1.16921i | 0.379585 | − | 0.925157i | \(-0.376067\pi\) |
0.969761 | − | 0.244058i | \(-0.0784787\pi\) | |||||||
\(258\) | 25.3596 | − | 16.2976i | 0.0982931 | − | 0.0631691i | ||||
\(259\) | 52.7898 | − | 60.9227i | 0.203822 | − | 0.235223i | ||||
\(260\) | −32.8804 | + | 52.0645i | −0.126463 | + | 0.200248i | ||||
\(261\) | 935.814 | − | 274.780i | 3.58549 | − | 1.05280i | ||||
\(262\) | −10.4390 | + | 16.2433i | −0.0398433 | + | 0.0619974i | ||||
\(263\) | −4.68619 | − | 32.5931i | −0.0178182 | − | 0.123928i | 0.978971 | − | 0.204000i | \(-0.0653942\pi\) |
−0.996789 | + | 0.0800716i | \(0.974485\pi\) | |||||||
\(264\) | −247.992 | + | 113.254i | −0.939362 | + | 0.428992i | ||||
\(265\) | −94.8960 | + | 0.751225i | −0.358098 | + | 0.00283481i | ||||
\(266\) | 18.8871 | + | 131.363i | 0.0710042 | + | 0.493845i | ||||
\(267\) | 550.935 | + | 354.065i | 2.06343 | + | 1.32608i | ||||
\(268\) | 142.286 | − | 41.7789i | 0.530917 | − | 0.155891i | ||||
\(269\) | 37.2780 | − | 259.274i | 0.138580 | − | 0.963844i | −0.795289 | − | 0.606230i | \(-0.792681\pi\) |
0.933869 | − | 0.357614i | \(-0.116410\pi\) | |||||||
\(270\) | 266.269 | + | 571.040i | 0.986180 | + | 2.11496i | ||||
\(271\) | 271.698 | − | 174.610i | 1.00258 | − | 0.644317i | 0.0671151 | − | 0.997745i | \(-0.478621\pi\) |
0.935462 | + | 0.353428i | \(0.114984\pi\) | |||||||
\(272\) | 32.6103 | + | 37.6342i | 0.119891 | + | 0.138361i | ||||
\(273\) | −130.357 | − | 38.2761i | −0.477496 | − | 0.140206i | ||||
\(274\) | 26.9919 | + | 12.3268i | 0.0985104 | + | 0.0449882i | ||||
\(275\) | −310.686 | + | 277.943i | −1.12977 | + | 1.01070i | ||||
\(276\) | −120.904 | − | 236.829i | −0.438056 | − | 0.858074i | ||||
\(277\) | 144.493i | 0.521635i | 0.965388 | + | 0.260817i | \(0.0839920\pi\) | ||||
−0.965388 | + | 0.260817i | \(0.916008\pi\) | |||||||
\(278\) | 294.062 | + | 134.294i | 1.05778 | + | 0.483071i | ||||
\(279\) | 915.940 | + | 268.944i | 3.28294 | + | 0.963958i | ||||
\(280\) | −15.6167 | − | 51.6691i | −0.0557741 | − | 0.184532i | ||||
\(281\) | −7.95101 | − | 12.3720i | −0.0282954 | − | 0.0440285i | 0.826818 | − | 0.562470i | \(-0.190149\pi\) |
−0.855113 | + | 0.518441i | \(0.826512\pi\) | |||||||
\(282\) | 124.865 | + | 108.196i | 0.442783 | + | 0.383674i | ||||
\(283\) | 47.6910 | − | 331.698i | 0.168519 | − | 1.17208i | −0.713427 | − | 0.700729i | \(-0.752858\pi\) |
0.881947 | − | 0.471349i | \(-0.156233\pi\) | |||||||
\(284\) | 69.6554 | − | 20.4527i | 0.245265 | − | 0.0720164i | ||||
\(285\) | −594.757 | + | 388.914i | −2.08687 | + | 1.36461i | ||||
\(286\) | 143.732 | − | 20.6655i | 0.502560 | − | 0.0722572i | ||||
\(287\) | 55.9886 | + | 122.598i | 0.195082 | + | 0.427170i | ||||
\(288\) | 125.629 | − | 57.3731i | 0.436213 | − | 0.199212i | ||||
\(289\) | 19.0723 | + | 132.651i | 0.0659940 | + | 0.458999i | ||||
\(290\) | −154.594 | − | 236.418i | −0.533084 | − | 0.815233i | ||||
\(291\) | −276.198 | − | 940.645i | −0.949135 | − | 3.23246i | ||||
\(292\) | −58.8761 | − | 8.46510i | −0.201630 | − | 0.0289901i | ||||
\(293\) | 166.553 | − | 192.212i | 0.568440 | − | 0.656015i | −0.396638 | − | 0.917975i | \(-0.629823\pi\) |
0.965079 | + | 0.261960i | \(0.0843688\pi\) | |||||||
\(294\) | −236.796 | + | 152.179i | −0.805428 | + | 0.517617i | ||||
\(295\) | 263.299 | − | 79.5809i | 0.892539 | − | 0.269766i | ||||
\(296\) | 16.8300 | − | 57.3178i | 0.0568582 | − | 0.193641i | ||||
\(297\) | 617.223 | − | 1351.53i | 2.07819 | − | 4.55061i | ||||
\(298\) | −54.9003 | −0.184229 | ||||||||
\(299\) | 26.2500 | + | 139.175i | 0.0877928 | + | 0.465468i | ||||
\(300\) | 215.408 | − | 192.707i | 0.718027 | − | 0.642356i | ||||
\(301\) | 5.84672 | − | 12.8025i | 0.0194243 | − | 0.0425334i | ||||
\(302\) | −1.23872 | + | 4.21870i | −0.00410173 | + | 0.0139692i | ||||
\(303\) | 341.484 | − | 295.898i | 1.12701 | − | 0.976560i | ||||
\(304\) | 53.1706 | + | 82.7350i | 0.174903 | + | 0.272155i | ||||
\(305\) | −440.414 | + | 205.359i | −1.44398 | + | 0.673308i | ||||
\(306\) | −425.469 | − | 61.1732i | −1.39042 | − | 0.199912i | ||||
\(307\) | 112.595 | + | 383.465i | 0.366760 | + | 1.24907i | 0.911791 | + | 0.410655i | \(0.134700\pi\) |
−0.545030 | + | 0.838416i | \(0.683482\pi\) | |||||||
\(308\) | −68.8168 | + | 107.081i | −0.223431 | + | 0.347666i | ||||
\(309\) | 391.958 | − | 56.3550i | 1.26847 | − | 0.182379i | ||||
\(310\) | −2.18861 | − | 276.469i | −0.00706002 | − | 0.891835i | ||||
\(311\) | −61.3111 | − | 134.253i | −0.197142 | − | 0.431680i | 0.785082 | − | 0.619391i | \(-0.212621\pi\) |
−0.982224 | + | 0.187711i | \(0.939893\pi\) | |||||||
\(312\) | −99.6540 | + | 14.3281i | −0.319404 | + | 0.0459233i | ||||
\(313\) | −101.892 | − | 65.4819i | −0.325533 | − | 0.209208i | 0.367658 | − | 0.929961i | \(-0.380160\pi\) |
−0.693191 | + | 0.720753i | \(0.743796\pi\) | |||||||
\(314\) | −31.9095 | − | 108.674i | −0.101623 | − | 0.346095i | ||||
\(315\) | 393.945 | + | 248.789i | 1.25062 | + | 0.789807i | ||||
\(316\) | 126.864 | + | 109.928i | 0.401468 | + | 0.347874i | ||||
\(317\) | −120.408 | − | 187.358i | −0.379834 | − | 0.591034i | 0.597723 | − | 0.801703i | \(-0.296072\pi\) |
−0.977558 | + | 0.210669i | \(0.932436\pi\) | |||||||
\(318\) | −101.607 | − | 117.261i | −0.319519 | − | 0.368745i | ||||
\(319\) | −187.669 | + | 639.140i | −0.588303 | + | 2.00357i | ||||
\(320\) | −26.4329 | − | 30.0217i | −0.0826028 | − | 0.0938177i | ||||
\(321\) | 15.2892i | 0.0476299i | ||||||||
\(322\) | −107.268 | − | 62.5014i | −0.333130 | − | 0.194104i | ||||
\(323\) | − | 306.089i | − | 0.947644i | ||||||
\(324\) | −245.381 | + | 537.309i | −0.757347 | + | 1.65836i | ||||
\(325\) | −139.003 | + | 66.1598i | −0.427701 | + | 0.203569i | ||||
\(326\) | 122.756 | + | 141.668i | 0.376553 | + | 0.434565i | ||||
\(327\) | −549.488 | + | 353.135i | −1.68039 | + | 1.07992i | ||||
\(328\) | 75.4817 | + | 65.4053i | 0.230127 | + | 0.199406i | ||||
\(329\) | 76.3543 | + | 10.9781i | 0.232080 | + | 0.0333681i | ||||
\(330\) | −675.380 | − | 91.6542i | −2.04661 | − | 0.277740i | ||||
\(331\) | −412.486 | − | 265.089i | −1.24618 | − | 0.800872i | −0.259851 | − | 0.965649i | \(-0.583673\pi\) |
−0.986331 | + | 0.164777i | \(0.947310\pi\) | |||||||
\(332\) | −4.12941 | − | 28.7207i | −0.0124380 | − | 0.0865080i | ||||
\(333\) | 214.208 | + | 469.050i | 0.643268 | + | 1.40856i | ||||
\(334\) | −62.8265 | − | 137.571i | −0.188103 | − | 0.411889i | ||||
\(335\) | 356.530 | + | 101.628i | 1.06427 | + | 0.303367i | ||||
\(336\) | 47.7129 | − | 74.2427i | 0.142003 | − | 0.220960i | ||||
\(337\) | 265.423 | − | 77.9352i | 0.787606 | − | 0.231262i | 0.136893 | − | 0.990586i | \(-0.456288\pi\) |
0.650713 | + | 0.759324i | \(0.274470\pi\) | |||||||
\(338\) | −183.491 | − | 26.3820i | −0.542872 | − | 0.0780532i | ||||
\(339\) | −269.332 | − | 233.377i | −0.794488 | − | 0.688428i | ||||
\(340\) | 18.6921 | + | 123.082i | 0.0549768 | + | 0.362005i | ||||
\(341\) | −492.731 | + | 426.954i | −1.44496 | + | 1.25206i | ||||
\(342\) | −814.536 | − | 239.169i | −2.38168 | − | 0.699325i | ||||
\(343\) | −132.286 | + | 289.666i | −0.385673 | + | 0.844507i | ||||
\(344\) | − | 10.4298i | − | 0.0303193i | ||||||
\(345\) | 60.5831 | − | 661.996i | 0.175603 | − | 1.91883i | ||||
\(346\) | 315.986 | 0.913254 | ||||||||
\(347\) | −390.792 | − | 178.469i | −1.12620 | − | 0.514320i | −0.236852 | − | 0.971546i | \(-0.576116\pi\) |
−0.889351 | + | 0.457226i | \(0.848843\pi\) | |||||||
\(348\) | 130.117 | − | 443.136i | 0.373898 | − | 1.27338i | ||||
\(349\) | −16.7211 | − | 19.2972i | −0.0479114 | − | 0.0552927i | 0.731288 | − | 0.682069i | \(-0.238920\pi\) |
−0.779199 | + | 0.626776i | \(0.784374\pi\) | |||||||
\(350\) | 35.9635 | − | 130.063i | 0.102753 | − | 0.371610i | ||||
\(351\) | 359.315 | − | 414.672i | 1.02369 | − | 1.18140i | ||||
\(352\) | −13.4240 | + | 93.3661i | −0.0381364 | + | 0.265245i | ||||
\(353\) | −64.2914 | − | 218.956i | −0.182129 | − | 0.620273i | −0.999052 | − | 0.0435271i | \(-0.986141\pi\) |
0.816924 | − | 0.576746i | \(-0.195678\pi\) | |||||||
\(354\) | 378.331 | + | 243.139i | 1.06873 | + | 0.686832i | ||||
\(355\) | 174.538 | + | 49.7516i | 0.491655 | + | 0.140145i | ||||
\(356\) | 206.111 | − | 94.1277i | 0.578963 | − | 0.264404i | ||||
\(357\) | −249.849 | + | 114.102i | −0.699857 | + | 0.319614i | ||||
\(358\) | −63.8096 | + | 9.17443i | −0.178239 | + | 0.0256269i | ||||
\(359\) | −37.0027 | + | 57.5774i | −0.103072 | + | 0.160383i | −0.888959 | − | 0.457988i | \(-0.848570\pi\) |
0.785887 | + | 0.618370i | \(0.212207\pi\) | |||||||
\(360\) | 342.139 | + | 46.4309i | 0.950387 | + | 0.128975i | ||||
\(361\) | 34.6554 | − | 241.033i | 0.0959983 | − | 0.667683i | ||||
\(362\) | −168.620 | + | 194.597i | −0.465800 | + | 0.537562i | ||||
\(363\) | 490.797 | + | 763.695i | 1.35206 | + | 2.10384i | ||||
\(364\) | −35.5247 | + | 30.7823i | −0.0975953 | + | 0.0845668i | ||||
\(365\) | −113.150 | − | 96.4875i | −0.310000 | − | 0.264349i | ||||
\(366\) | −722.705 | − | 330.048i | −1.97460 | − | 0.901771i | ||||
\(367\) | 663.038 | 1.80664 | 0.903322 | − | 0.428964i | \(-0.141121\pi\) | ||||
0.903322 | + | 0.428964i | \(0.141121\pi\) | |||||||
\(368\) | −91.5479 | − | 9.10940i | −0.248771 | − | 0.0247538i | ||||
\(369\) | −862.124 | −2.33638 | ||||||||
\(370\) | 112.089 | − | 98.6899i | 0.302943 | − | 0.266730i | ||||
\(371\) | −69.5075 | − | 20.4092i | −0.187352 | − | 0.0550114i | ||||
\(372\) | 341.626 | − | 296.021i | 0.918350 | − | 0.795755i | ||||
\(373\) | 120.397 | − | 77.3744i | 0.322780 | − | 0.207438i | −0.369209 | − | 0.929347i | \(-0.620371\pi\) |
0.691989 | + | 0.721908i | \(0.256735\pi\) | |||||||
\(374\) | 192.250 | − | 221.869i | 0.514038 | − | 0.593231i | ||||
\(375\) | 712.570 | − | 119.787i | 1.90019 | − | 0.319431i | ||||
\(376\) | 54.8486 | − | 16.1050i | 0.145874 | − | 0.0428324i | ||||
\(377\) | −132.993 | + | 206.942i | −0.352767 | + | 0.548917i | ||||
\(378\) | 68.4488 | + | 476.072i | 0.181082 | + | 1.25945i | ||||
\(379\) | 418.133 | − | 190.955i | 1.10325 | − | 0.503839i | 0.221315 | − | 0.975202i | \(-0.428965\pi\) |
0.881939 | + | 0.471363i | \(0.156238\pi\) | |||||||
\(380\) | 1.94630 | + | 245.861i | 0.00512185 | + | 0.647001i | ||||
\(381\) | 65.9738 | + | 458.858i | 0.173159 | + | 1.20435i | ||||
\(382\) | −288.968 | − | 185.709i | −0.756461 | − | 0.486148i | ||||
\(383\) | −161.850 | + | 47.5233i | −0.422584 | + | 0.124082i | −0.486109 | − | 0.873898i | \(-0.661584\pi\) |
0.0635246 | + | 0.997980i | \(0.479766\pi\) | |||||||
\(384\) | 9.30730 | − | 64.7337i | 0.0242378 | − | 0.168577i | ||||
\(385\) | −288.406 | + | 134.480i | −0.749108 | + | 0.349299i | ||||
\(386\) | 319.521 | − | 205.344i | 0.827774 | − | 0.531978i | ||||
\(387\) | 58.9565 | + | 68.0395i | 0.152342 | + | 0.175813i | ||||
\(388\) | −325.452 | − | 95.5614i | −0.838794 | − | 0.246292i | ||||
\(389\) | −159.116 | − | 72.6658i | −0.409038 | − | 0.186802i | 0.200260 | − | 0.979743i | \(-0.435821\pi\) |
−0.609298 | + | 0.792941i | \(0.708549\pi\) | |||||||
\(390\) | −229.772 | − | 102.743i | −0.589159 | − | 0.263444i | ||||
\(391\) | 224.368 | + | 177.894i | 0.573831 | + | 0.454972i | ||||
\(392\) | 97.3887i | 0.248441i | ||||||||
\(393\) | −71.7905 | − | 32.7856i | −0.182673 | − | 0.0834240i | ||||
\(394\) | −412.772 | − | 121.201i | −1.04764 | − | 0.307616i | ||||
\(395\) | 121.416 | + | 401.714i | 0.307383 | + | 1.01700i | ||||
\(396\) | −440.197 | − | 684.960i | −1.11161 | − | 1.72970i | ||||
\(397\) | −578.653 | − | 501.406i | −1.45757 | − | 1.26299i | −0.902156 | − | 0.431410i | \(-0.858016\pi\) |
−0.555409 | − | 0.831577i | \(-0.687438\pi\) | |||||||
\(398\) | −41.8923 | + | 291.368i | −0.105257 | + | 0.732080i | ||||
\(399\) | −520.488 | + | 152.829i | −1.30448 | + | 0.383031i | ||||
\(400\) | −15.7967 | − | 98.7444i | −0.0394919 | − | 0.246861i | ||||
\(401\) | 137.452 | − | 19.7626i | 0.342774 | − | 0.0492834i | 0.0312215 | − | 0.999512i | \(-0.490060\pi\) |
0.311552 | + | 0.950229i | \(0.399151\pi\) | |||||||
\(402\) | 251.800 | + | 551.365i | 0.626368 | + | 1.37155i | ||||
\(403\) | −219.010 | + | 100.019i | −0.543450 | + | 0.248185i | ||||
\(404\) | −22.2487 | − | 154.743i | −0.0550710 | − | 0.383027i | ||||
\(405\) | −1235.94 | + | 808.184i | −3.05170 | + | 1.99552i | ||||
\(406\) | −60.7501 | − | 206.896i | −0.149631 | − | 0.509596i | ||||
\(407\) | −348.592 | − | 50.1200i | −0.856491 | − | 0.123145i | ||||
\(408\) | −133.293 | + | 153.828i | −0.326699 | + | 0.377031i | ||||
\(409\) | −530.417 | + | 340.878i | −1.29686 | + | 0.833444i | −0.992867 | − | 0.119229i | \(-0.961958\pi\) |
−0.303997 | + | 0.952673i | \(0.598321\pi\) | |||||||
\(410\) | 72.2406 | + | 239.013i | 0.176196 | + | 0.582959i | ||||
\(411\) | −34.1710 | + | 116.376i | −0.0831411 | + | 0.283153i | ||||
\(412\) | 56.9149 | − | 124.626i | 0.138143 | − | 0.302491i | ||||
\(413\) | 209.971 | 0.508405 | ||||||||
\(414\) | 648.709 | − | 458.066i | 1.56693 | − | 1.10644i | ||||
\(415\) | 29.6109 | − | 66.2212i | 0.0713516 | − | 0.159569i | ||||
\(416\) | −14.4704 | + | 31.6858i | −0.0347847 | + | 0.0761678i | ||||
\(417\) | −372.275 | + | 1267.85i | −0.892746 | + | 3.04041i | ||||
\(418\) | 438.180 | − | 379.686i | 1.04828 | − | 0.908339i | ||||
\(419\) | −150.391 | − | 234.014i | −0.358930 | − | 0.558505i | 0.614088 | − | 0.789238i | \(-0.289524\pi\) |
−0.973017 | + | 0.230733i | \(0.925888\pi\) | |||||||
\(420\) | 199.961 | − | 93.2393i | 0.476098 | − | 0.221998i | ||||
\(421\) | −46.9239 | − | 6.74664i | −0.111458 | − | 0.0160253i | 0.0863600 | − | 0.996264i | \(-0.472476\pi\) |
−0.197818 | + | 0.980239i | \(0.563386\pi\) | |||||||
\(422\) | 83.4852 | + | 284.324i | 0.197832 | + | 0.673754i | ||||
\(423\) | −266.771 | + | 415.103i | −0.630664 | + | 0.981332i | ||||
\(424\) | −53.1366 | + | 7.63989i | −0.125322 | + | 0.0180186i | ||||
\(425\) | −124.793 | + | 285.119i | −0.293629 | + | 0.670867i | ||||
\(426\) | 123.267 | + | 269.918i | 0.289360 | + | 0.633611i | ||||
\(427\) | −367.170 | + | 52.7910i | −0.859882 | + | 0.123632i | ||||
\(428\) | 4.45013 | + | 2.85992i | 0.0103975 | + | 0.00668207i | ||||
\(429\) | 167.220 | + | 569.498i | 0.389789 | + | 1.32750i | ||||
\(430\) | 13.9229 | − | 22.0462i | 0.0323788 | − | 0.0512703i | ||||
\(431\) | −91.9213 | − | 79.6503i | −0.213275 | − | 0.184803i | 0.541672 | − | 0.840590i | \(-0.317792\pi\) |
−0.754946 | + | 0.655787i | \(0.772337\pi\) | |||||||
\(432\) | 192.695 | + | 299.840i | 0.446054 | + | 0.694074i | ||||
\(433\) | 525.241 | + | 606.160i | 1.21303 | + | 1.39991i | 0.891508 | + | 0.453005i | \(0.149648\pi\) |
0.321519 | + | 0.946903i | \(0.395807\pi\) | |||||||
\(434\) | 59.4600 | − | 202.502i | 0.137005 | − | 0.466595i | ||||
\(435\) | 866.583 | − | 762.993i | 1.99215 | − | 1.75401i | ||||
\(436\) | 225.992i | 0.518330i | ||||||||
\(437\) | 388.606 | + | 410.819i | 0.889260 | + | 0.940088i | ||||
\(438\) | − | 243.128i | − | 0.555087i | ||||||
\(439\) | 54.2440 | − | 118.778i | 0.123563 | − | 0.270564i | −0.837735 | − | 0.546077i | \(-0.816120\pi\) |
0.961297 | + | 0.275513i | \(0.0888477\pi\) | |||||||
\(440\) | −153.011 | + | 179.434i | −0.347752 | + | 0.407806i | ||||
\(441\) | −550.508 | − | 635.320i | −1.24832 | − | 1.44063i | ||||
\(442\) | 91.2035 | − | 58.6129i | 0.206343 | − | 0.132608i | ||||
\(443\) | 225.655 | + | 195.531i | 0.509379 | + | 0.441379i | 0.871243 | − | 0.490851i | \(-0.163314\pi\) |
−0.361864 | + | 0.932231i | \(0.617860\pi\) | |||||||
\(444\) | 241.690 | + | 34.7497i | 0.544346 | + | 0.0782652i | ||||
\(445\) | 561.322 | + | 76.1757i | 1.26140 | + | 0.171181i | ||||
\(446\) | 448.297 | + | 288.103i | 1.00515 | + | 0.645971i | ||||
\(447\) | −31.9359 | − | 222.119i | −0.0714449 | − | 0.496910i | ||||
\(448\) | −12.6844 | − | 27.7750i | −0.0283134 | − | 0.0619977i | ||||
\(449\) | 0.502642 | + | 1.10063i | 0.00111947 | + | 0.00245130i | 0.910191 | − | 0.414189i | \(-0.135935\pi\) |
−0.909071 | + | 0.416640i | \(0.863207\pi\) | |||||||
\(450\) | 661.222 | + | 554.870i | 1.46938 | + | 1.23304i | ||||
\(451\) | 318.336 | − | 495.340i | 0.705844 | − | 1.09832i | ||||
\(452\) | −118.308 | + | 34.7382i | −0.261742 | + | 0.0768545i | ||||
\(453\) | −17.7888 | − | 2.55765i | −0.0392689 | − | 0.00564602i | ||||
\(454\) | −158.109 | − | 137.002i | −0.348258 | − | 0.301767i | ||||
\(455\) | −116.183 | + | 17.6444i | −0.255346 | + | 0.0387788i | ||||
\(456\) | −303.804 | + | 263.248i | −0.666238 | + | 0.577298i | ||||
\(457\) | −736.337 | − | 216.208i | −1.61124 | − | 0.473103i | −0.652595 | − | 0.757707i | \(-0.726320\pi\) |
−0.958645 | + | 0.284604i | \(0.908138\pi\) | |||||||
\(458\) | 114.401 | − | 250.504i | 0.249784 | − | 0.546952i | ||||
\(459\) | − | 1109.30i | − | 2.41677i | ||||||
\(460\) | −181.351 | − | 141.463i | −0.394241 | − | 0.307529i | ||||
\(461\) | −832.544 | −1.80595 | −0.902976 | − | 0.429692i | \(-0.858622\pi\) | ||||
−0.902976 | + | 0.429692i | \(0.858622\pi\) | |||||||
\(462\) | −473.266 | − | 216.133i | −1.02438 | − | 0.467821i | ||||
\(463\) | −106.190 | + | 361.649i | −0.229351 | + | 0.781099i | 0.761736 | + | 0.647887i | \(0.224347\pi\) |
−0.991088 | + | 0.133212i | \(0.957471\pi\) | |||||||
\(464\) | −104.642 | − | 120.763i | −0.225521 | − | 0.260266i | ||||
\(465\) | 1117.28 | − | 169.678i | 2.40275 | − | 0.364900i | ||||
\(466\) | −137.948 | + | 159.200i | −0.296026 | + | 0.341632i | ||||
\(467\) | −27.2409 | + | 189.464i | −0.0583316 | + | 0.405705i | 0.939646 | + | 0.342147i | \(0.111154\pi\) |
−0.997978 | + | 0.0635585i | \(0.979755\pi\) | |||||||
\(468\) | −84.7114 | − | 288.501i | −0.181007 | − | 0.616454i | ||||
\(469\) | 238.076 | + | 153.002i | 0.507624 | + | 0.326230i | ||||
\(470\) | 137.436 | + | 39.1758i | 0.292417 | + | 0.0833527i | ||||
\(471\) | 421.116 | − | 192.317i | 0.894090 | − | 0.408317i | ||||
\(472\) | 141.538 | − | 64.6381i | 0.299868 | − | 0.136945i | ||||
\(473\) | −60.8621 | + | 8.75064i | −0.128672 | + | 0.0185003i | ||||
\(474\) | −370.956 | + | 577.219i | −0.782607 | + | 1.21776i | ||||
\(475\) | −324.088 | + | 522.290i | −0.682290 | + | 1.09956i | ||||
\(476\) | −13.5246 | + | 94.0655i | −0.0284130 | + | 0.197617i | ||||
\(477\) | 303.453 | − | 350.203i | 0.636170 | − | 0.734179i | ||||
\(478\) | 92.2340 | + | 143.519i | 0.192958 | + | 0.300249i | ||||
\(479\) | −56.4660 | + | 48.9281i | −0.117883 | + | 0.102146i | −0.711808 | − | 0.702374i | \(-0.752123\pi\) |
0.593925 | + | 0.804521i | \(0.297578\pi\) | |||||||
\(480\) | 106.087 | − | 124.408i | 0.221015 | − | 0.259182i | ||||
\(481\) | −118.302 | − | 54.0268i | −0.245950 | − | 0.112322i | ||||
\(482\) | −279.467 | −0.579808 | ||||||||
\(483\) | 190.473 | − | 470.348i | 0.394354 | − | 0.973805i | ||||
\(484\) | 314.090 | 0.648947 | ||||||||
\(485\) | −560.364 | − | 636.444i | −1.15539 | − | 1.31226i | ||||
\(486\) | −1228.43 | − | 360.699i | −2.52763 | − | 0.742180i | ||||
\(487\) | −360.559 | + | 312.426i | −0.740368 | + | 0.641532i | −0.941106 | − | 0.338113i | \(-0.890211\pi\) |
0.200738 | + | 0.979645i | \(0.435666\pi\) | |||||||
\(488\) | −231.251 | + | 148.616i | −0.473875 | + | 0.304541i | ||||
\(489\) | −501.761 | + | 579.064i | −1.02610 | + | 1.18418i | ||||
\(490\) | −130.005 | + | 205.857i | −0.265317 | + | 0.420117i | ||||
\(491\) | 530.193 | − | 155.679i | 1.07982 | − | 0.317065i | 0.307015 | − | 0.951705i | \(-0.400670\pi\) |
0.772808 | + | 0.634640i | \(0.218852\pi\) | |||||||
\(492\) | −220.712 | + | 343.435i | −0.448602 | + | 0.698038i | ||||
\(493\) | 70.7770 | + | 492.265i | 0.143564 | + | 0.998509i | ||||
\(494\) | 194.763 | − | 88.9455i | 0.394258 | − | 0.180052i | ||||
\(495\) | −16.1134 | − | 2035.47i | −0.0325523 | − | 4.11206i | ||||
\(496\) | −22.2579 | − | 154.807i | −0.0448749 | − | 0.312112i | ||||
\(497\) | 116.549 | + | 74.9014i | 0.234505 | + | 0.150707i | ||||
\(498\) | 113.798 | − | 33.4140i | 0.228509 | − | 0.0670963i | ||||
\(499\) | −0.383912 | + | 2.67017i | −0.000769363 | + | 0.00535103i | −0.990203 | − | 0.139639i | \(-0.955406\pi\) |
0.989433 | + | 0.144990i | \(0.0463149\pi\) | |||||||
\(500\) | 98.4244 | − | 229.810i | 0.196849 | − | 0.459620i | ||||
\(501\) | 520.045 | − | 334.213i | 1.03801 | − | 0.667091i | ||||
\(502\) | −132.521 | − | 152.938i | −0.263987 | − | 0.304657i | ||||
\(503\) | 301.464 | + | 88.5179i | 0.599333 | + | 0.175980i | 0.567306 | − | 0.823507i | \(-0.307986\pi\) |
0.0320268 | + | 0.999487i | \(0.489804\pi\) | |||||||
\(504\) | 239.751 | + | 109.490i | 0.475696 | + | 0.217243i | ||||
\(505\) | 159.540 | − | 356.791i | 0.315920 | − | 0.706516i | ||||
\(506\) | 23.6520 | + | 541.860i | 0.0467431 | + | 1.07087i | ||||
\(507\) | − | 757.724i | − | 1.49452i | ||||||
\(508\) | 145.898 | + | 66.6292i | 0.287200 | + | 0.131160i | ||||
\(509\) | −689.631 | − | 202.494i | −1.35487 | − | 0.397827i | −0.477921 | − | 0.878403i | \(-0.658610\pi\) |
−0.876953 | + | 0.480576i | \(0.840428\pi\) | |||||||
\(510\) | −487.098 | + | 147.223i | −0.955094 | + | 0.288673i | ||||
\(511\) | −61.3704 | − | 95.4942i | −0.120099 | − | 0.186877i | ||||
\(512\) | −17.1007 | − | 14.8178i | −0.0333997 | − | 0.0289410i | ||||
\(513\) | 311.785 | − | 2168.51i | 0.607768 | − | 4.22712i | ||||
\(514\) | 622.637 | − | 182.823i | 1.21136 | − | 0.355686i | ||||
\(515\) | 286.670 | − | 187.455i | 0.556640 | − | 0.363989i | ||||
\(516\) | 42.1976 | − | 6.06710i | 0.0817783 | − | 0.0117579i | ||||
\(517\) | −139.997 | − | 306.550i | −0.270787 | − | 0.592941i | ||||
\(518\) | 103.701 | − | 47.3585i | 0.200194 | − | 0.0914257i | ||||
\(519\) | 183.811 | + | 1278.43i | 0.354164 | + | 2.46326i | ||||
\(520\) | −72.8849 | + | 47.6597i | −0.140163 | + | 0.0916533i | ||||
\(521\) | −123.846 | − | 421.780i | −0.237708 | − | 0.809558i | −0.988785 | − | 0.149344i | \(-0.952284\pi\) |
0.751078 | − | 0.660214i | \(-0.229534\pi\) | |||||||
\(522\) | 1365.27 | + | 196.297i | 2.61547 | + | 0.376047i | ||||
\(523\) | 161.006 | − | 185.811i | 0.307850 | − | 0.355278i | −0.580651 | − | 0.814153i | \(-0.697202\pi\) |
0.888501 | + | 0.458874i | \(0.151747\pi\) | |||||||
\(524\) | −22.9715 | + | 14.7629i | −0.0438388 | + | 0.0281735i | ||||
\(525\) | 547.138 | + | 69.8444i | 1.04217 | + | 0.133037i | ||||
\(526\) | 13.1196 | − | 44.6813i | 0.0249422 | − | 0.0849455i | ||||
\(527\) | −202.210 | + | 442.778i | −0.383700 | + | 0.840185i | ||||
\(528\) | −385.555 | −0.730217 | ||||||||
\(529\) | −526.988 | + | 46.0935i | −0.996197 | + | 0.0871333i | ||||
\(530\) | −122.517 | − | 54.7837i | −0.231164 | − | 0.103365i | ||||
\(531\) | −557.949 | + | 1221.74i | −1.05075 | + | 2.30082i | ||||
\(532\) | −52.8771 | + | 180.083i | −0.0993931 | + | 0.338502i | ||||
\(533\) | 164.332 | − | 142.394i | 0.308314 | − | 0.267156i | ||||
\(534\) | 500.723 | + | 779.140i | 0.937684 | + | 1.45906i | ||||
\(535\) | 5.58879 | + | 11.9857i | 0.0104463 | + | 0.0224033i | ||||
\(536\) | 207.583 | + | 29.8459i | 0.387282 | + | 0.0556827i | ||||
\(537\) | −74.2369 | − | 252.828i | −0.138244 | − | 0.470815i | ||||
\(538\) | 200.275 | − | 311.634i | 0.372258 | − | 0.579244i | ||||
\(539\) | 568.301 | − | 81.7093i | 1.05436 | − | 0.151594i | ||||
\(540\) | 7.05360 | + | 891.023i | 0.0130622 | + | 1.65004i | ||||
\(541\) | −149.182 | − | 326.664i | −0.275753 | − | 0.603815i | 0.720192 | − | 0.693775i | \(-0.244054\pi\) |
−0.995945 | + | 0.0899592i | \(0.971326\pi\) | |||||||
\(542\) | 452.097 | − | 65.0018i | 0.834128 | − | 0.119929i | ||||
\(543\) | −885.400 | − | 569.012i | −1.63057 | − | 1.04790i | ||||
\(544\) | 19.8407 | + | 67.5713i | 0.0364719 | + | 0.124212i | ||||
\(545\) | −301.679 | + | 477.694i | −0.553540 | + | 0.876503i | ||||
\(546\) | −145.206 | − | 125.821i | −0.265945 | − | 0.230442i | ||||
\(547\) | 89.8439 | + | 139.800i | 0.164248 | + | 0.255575i | 0.913616 | − | 0.406579i | \(-0.133279\pi\) |
−0.749367 | + | 0.662155i | \(0.769642\pi\) | |||||||
\(548\) | 27.4809 | + | 31.7146i | 0.0501476 | + | 0.0578734i | ||||
\(549\) | 668.497 | − | 2276.69i | 1.21766 | − | 4.14698i | ||||
\(550\) | −562.958 | + | 175.027i | −1.02356 | + | 0.318231i | ||||
\(551\) | 982.199i | 1.78257i | ||||||||
\(552\) | −16.3987 | − | 375.689i | −0.0297077 | − | 0.680595i | ||||
\(553\) | 320.353i | 0.579299i | ||||||||
\(554\) | −84.8874 | + | 185.878i | −0.153226 | + | 0.335519i | ||||
\(555\) | 464.488 | + | 396.087i | 0.836916 | + | 0.713671i | ||||
\(556\) | 299.390 | + | 345.515i | 0.538471 | + | 0.621429i | ||||
\(557\) | −319.500 | + | 205.330i | −0.573608 | + | 0.368636i | −0.795056 | − | 0.606537i | \(-0.792558\pi\) |
0.221447 | + | 0.975172i | \(0.428922\pi\) | |||||||
\(558\) | 1020.28 | + | 884.075i | 1.82845 | + | 1.58436i | ||||
\(559\) | −22.4757 | − | 3.23152i | −0.0402070 | − | 0.00578089i | ||||
\(560\) | 10.2652 | − | 75.6424i | 0.0183308 | − | 0.135076i | ||||
\(561\) | 1009.48 | + | 648.754i | 1.79943 | + | 1.15642i | ||||
\(562\) | −2.95991 | − | 20.5866i | −0.00526675 | − | 0.0366310i | ||||
\(563\) | −2.72014 | − | 5.95627i | −0.00483150 | − | 0.0105795i | 0.907201 | − | 0.420698i | \(-0.138215\pi\) |
−0.912032 | + | 0.410118i | \(0.865487\pi\) | |||||||
\(564\) | 97.0642 | + | 212.541i | 0.172100 | + | 0.376846i | ||||
\(565\) | −296.447 | − | 84.5016i | −0.524685 | − | 0.149560i | ||||
\(566\) | 256.218 | − | 398.683i | 0.452682 | − | 0.704387i | ||||
\(567\) | −1081.60 | + | 317.587i | −1.90759 | + | 0.560119i | ||||
\(568\) | 101.621 | + | 14.6109i | 0.178911 | + | 0.0257235i | ||||
\(569\) | 443.936 | + | 384.672i | 0.780203 | + | 0.676050i | 0.950977 | − | 0.309260i | \(-0.100081\pi\) |
−0.170774 | + | 0.985310i | \(0.554627\pi\) | |||||||
\(570\) | −993.584 | + | 150.893i | −1.74313 | + | 0.264725i | ||||
\(571\) | −738.606 | + | 640.006i | −1.29353 | + | 1.12085i | −0.307995 | + | 0.951388i | \(0.599658\pi\) |
−0.985536 | + | 0.169463i | \(0.945797\pi\) | |||||||
\(572\) | 197.040 | + | 57.8560i | 0.344475 | + | 0.101147i | ||||
\(573\) | 583.255 | − | 1277.15i | 1.01790 | − | 2.22889i | ||||
\(574\) | 190.604i | 0.332063i | ||||||||
\(575\) | −194.492 | − | 541.108i | −0.338247 | − | 0.941057i | ||||
\(576\) | 195.317 | 0.339093 | ||||||||
\(577\) | 446.167 | + | 203.758i | 0.773254 | + | 0.353133i | 0.762651 | − | 0.646811i | \(-0.223898\pi\) |
0.0106031 | + | 0.999944i | \(0.496625\pi\) | |||||||
\(578\) | −53.3955 | + | 181.848i | −0.0923797 | + | 0.314616i | ||||
\(579\) | 1016.66 | + | 1173.29i | 1.75589 | + | 2.02640i | ||||
\(580\) | −59.9805 | − | 394.953i | −0.103415 | − | 0.680954i | ||||
\(581\) | 36.2622 | − | 41.8489i | 0.0624135 | − | 0.0720290i | ||||
\(582\) | 197.310 | − | 1372.32i | 0.339021 | − | 2.35794i | ||||
\(583\) | 89.1633 | + | 303.662i | 0.152939 | + | 0.520862i | ||||
\(584\) | −70.7658 | − | 45.4784i | −0.121174 | − | 0.0778741i | ||||
\(585\) | 206.062 | − | 722.905i | 0.352244 | − | 1.23574i | ||||
\(586\) | 327.178 | − | 149.417i | 0.558325 | − | 0.254978i | ||||
\(587\) | 546.236 | − | 249.458i | 0.930555 | − | 0.424970i | 0.108319 | − | 0.994116i | \(-0.465453\pi\) |
0.822237 | + | 0.569146i | \(0.192726\pi\) | |||||||
\(588\) | −394.021 | + | 56.6516i | −0.670103 | + | 0.0963463i | ||||
\(589\) | −519.740 | + | 808.731i | −0.882410 | + | 1.37306i | ||||
\(590\) | 385.464 | + | 52.3104i | 0.653329 | + | 0.0886616i | ||||
\(591\) | 250.249 | − | 1740.52i | 0.423433 | − | 2.94504i | ||||
\(592\) | 55.3238 | − | 63.8470i | 0.0934523 | − | 0.107850i | ||||
\(593\) | −431.600 | − | 671.582i | −0.727824 | − | 1.13252i | −0.986053 | − | 0.166433i | \(-0.946775\pi\) |
0.258229 | − | 0.966084i | \(-0.416861\pi\) | |||||||
\(594\) | 1588.01 | − | 1376.02i | 2.67342 | − | 2.31653i | ||||
\(595\) | −154.157 | + | 180.778i | −0.259087 | + | 0.303829i | ||||
\(596\) | −70.6245 | − | 32.2531i | −0.118498 | − | 0.0541160i | ||||
\(597\) | −1203.20 | −2.01541 | ||||||||
\(598\) | −47.9949 | + | 194.458i | −0.0802591 | + | 0.325181i | ||||
\(599\) | 104.218 | 0.173986 | 0.0869930 | − | 0.996209i | \(-0.472274\pi\) | ||||
0.0869930 | + | 0.996209i | \(0.472274\pi\) | |||||||
\(600\) | 390.317 | − | 121.352i | 0.650528 | − | 0.202253i | ||||
\(601\) | −546.249 | − | 160.393i | −0.908901 | − | 0.266877i | −0.206323 | − | 0.978484i | \(-0.566150\pi\) |
−0.702578 | + | 0.711607i | \(0.747968\pi\) | |||||||
\(602\) | 15.0426 | − | 13.0345i | 0.0249877 | − | 0.0216520i | ||||
\(603\) | −1522.89 | + | 978.700i | −2.52552 | + | 1.62305i | ||||
\(604\) | −4.07193 | + | 4.69926i | −0.00674161 | + | 0.00778024i | ||||
\(605\) | 663.913 | + | 419.282i | 1.09738 | + | 0.693029i | ||||
\(606\) | 613.125 | − | 180.030i | 1.01176 | − | 0.297079i | ||||
\(607\) | 312.005 | − | 485.490i | 0.514012 | − | 0.799819i | −0.483116 | − | 0.875557i | \(-0.660495\pi\) |
0.997128 | + | 0.0757380i | \(0.0241312\pi\) | |||||||
\(608\) | 19.7937 | + | 137.668i | 0.0325555 | + | 0.226428i | ||||
\(609\) | 801.732 | − | 366.139i | 1.31647 | − | 0.601213i | ||||
\(610\) | −687.200 | + | 5.44007i | −1.12656 | + | 0.00891815i | ||||
\(611\) | −17.7114 | − | 123.185i | −0.0289876 | − | 0.201613i | ||||
\(612\) | −511.391 | − | 328.651i | −0.835606 | − | 0.537011i | ||||
\(613\) | −101.886 | + | 29.9164i | −0.166209 | + | 0.0488033i | −0.363778 | − | 0.931486i | \(-0.618513\pi\) |
0.197569 | + | 0.980289i | \(0.436695\pi\) | |||||||
\(614\) | −80.4357 | + | 559.443i | −0.131003 | + | 0.911145i | ||||
\(615\) | −924.989 | + | 431.310i | −1.50405 | + | 0.701318i | ||||
\(616\) | −151.435 | + | 97.3217i | −0.245837 | + | 0.157990i | ||||
\(617\) | 774.229 | + | 893.508i | 1.25483 | + | 1.44815i | 0.843917 | + | 0.536473i | \(0.180244\pi\) |
0.410911 | + | 0.911676i | \(0.365211\pi\) | |||||||
\(618\) | 537.328 | + | 157.774i | 0.869462 | + | 0.255297i | ||||
\(619\) | 18.0213 | + | 8.23007i | 0.0291136 | + | 0.0132958i | 0.429919 | − | 0.902868i | \(-0.358542\pi\) |
−0.400805 | + | 0.916163i | \(0.631270\pi\) | |||||||
\(620\) | 159.606 | − | 356.939i | 0.257429 | − | 0.575708i | ||||
\(621\) | 1408.35 | + | 1488.85i | 2.26787 | + | 2.39750i | ||||
\(622\) | − | 208.724i | − | 0.335569i | ||||||
\(623\) | 393.341 | + | 179.633i | 0.631366 | + | 0.288335i | ||||
\(624\) | −136.614 | − | 40.1134i | −0.218932 | − | 0.0642843i | ||||
\(625\) | 514.822 | − | 354.377i | 0.823716 | − | 0.567003i | ||||
\(626\) | −92.6055 | − | 144.097i | −0.147932 | − | 0.230187i | ||||
\(627\) | 1791.05 | + | 1551.95i | 2.85653 | + | 2.47520i | ||||
\(628\) | 22.7954 | − | 158.546i | 0.0362985 | − | 0.252461i | ||||
\(629\) | −252.284 | + | 74.0773i | −0.401088 | + | 0.117770i | ||||
\(630\) | 360.617 | + | 551.483i | 0.572408 | + | 0.875370i | ||||
\(631\) | −475.798 | + | 68.4094i | −0.754038 | + | 0.108414i | −0.508606 | − | 0.860999i | \(-0.669839\pi\) |
−0.245432 | + | 0.969414i | \(0.578930\pi\) | |||||||
\(632\) | 98.6182 | + | 215.944i | 0.156041 | + | 0.341683i | ||||
\(633\) | −1101.77 | + | 503.162i | −1.74056 | + | 0.794885i | ||||
\(634\) | −44.8239 | − | 311.757i | −0.0707002 | − | 0.491731i | ||||
\(635\) | 219.450 | + | 335.599i | 0.345590 | + | 0.528502i | ||||
\(636\) | −61.8198 | − | 210.539i | −0.0972009 | − | 0.331036i | ||||
\(637\) | 209.867 | + | 30.1744i | 0.329462 | + | 0.0473695i | ||||
\(638\) | −616.905 | + | 711.946i | −0.966936 | + | 1.11590i | ||||
\(639\) | −745.522 | + | 479.118i | −1.16670 | + | 0.749793i | ||||
\(640\) | −16.3664 | − | 54.1493i | −0.0255724 | − | 0.0846082i | ||||
\(641\) | −174.150 | + | 593.099i | −0.271684 | + | 0.925272i | 0.704750 | + | 0.709456i | \(0.251059\pi\) |
−0.976434 | + | 0.215816i | \(0.930759\pi\) | |||||||
\(642\) | −8.98217 | + | 19.6682i | −0.0139909 | + | 0.0306359i | ||||
\(643\) | −1157.80 | −1.80062 | −0.900312 | − | 0.435245i | \(-0.856662\pi\) | ||||
−0.900312 | + | 0.435245i | \(0.856662\pi\) | |||||||
\(644\) | −101.272 | − | 143.421i | −0.157255 | − | 0.222703i | ||||
\(645\) | 97.2949 | + | 43.5056i | 0.150845 | + | 0.0674506i | ||||
\(646\) | 179.823 | − | 393.757i | 0.278364 | − | 0.609531i | ||||
\(647\) | 240.219 | − | 818.111i | 0.371282 | − | 1.26447i | −0.536098 | − | 0.844156i | \(-0.680102\pi\) |
0.907379 | − | 0.420313i | \(-0.138080\pi\) | |||||||
\(648\) | −631.322 | + | 547.044i | −0.974262 | + | 0.844203i | ||||
\(649\) | −495.939 | − | 771.696i | −0.764158 | − | 1.18905i | ||||
\(650\) | −217.683 | + | 3.44670i | −0.334897 | + | 0.00530262i | ||||
\(651\) | 853.883 | + | 122.770i | 1.31165 | + | 0.188586i | ||||
\(652\) | 74.6873 | + | 254.362i | 0.114551 | + | 0.390125i | ||||
\(653\) | 140.786 | − | 219.068i | 0.215599 | − | 0.335479i | −0.716561 | − | 0.697524i | \(-0.754285\pi\) |
0.932161 | + | 0.362045i | \(0.117921\pi\) | |||||||
\(654\) | −914.331 | + | 131.461i | −1.39806 | + | 0.201011i | ||||
\(655\) | −68.2636 | + | 0.540395i | −0.104219 | + | 0.000825030i | ||||
\(656\) | 58.6761 | + | 128.483i | 0.0894453 | + | 0.195858i | ||||
\(657\) | 718.720 | − | 103.336i | 1.09394 | − | 0.157285i | ||||
\(658\) | 91.7738 | + | 58.9794i | 0.139474 | + | 0.0896344i | ||||
\(659\) | −155.142 | − | 528.364i | −0.235420 | − | 0.801766i | −0.989444 | − | 0.144919i | \(-0.953708\pi\) |
0.754024 | − | 0.656847i | \(-0.228110\pi\) | |||||||
\(660\) | −814.973 | − | 514.681i | −1.23481 | − | 0.779820i | ||||
\(661\) | −548.781 | − | 475.521i | −0.830228 | − | 0.719397i | 0.132115 | − | 0.991234i | \(-0.457823\pi\) |
−0.962343 | + | 0.271837i | \(0.912369\pi\) | |||||||
\(662\) | −374.892 | − | 583.343i | −0.566302 | − | 0.881183i | ||||
\(663\) | 290.193 | + | 334.901i | 0.437697 | + | 0.505129i | ||||
\(664\) | 11.5608 | − | 39.3726i | 0.0174109 | − | 0.0592961i | ||||
\(665\) | −352.165 | + | 310.067i | −0.529571 | + | 0.466266i | ||||
\(666\) | 729.237i | 1.09495i | ||||||||
\(667\) | −719.967 | − | 570.838i | −1.07941 | − | 0.855829i | ||||
\(668\) | − | 213.883i | − | 0.320184i | ||||||
\(669\) | −904.846 | + | 1981.34i | −1.35253 | + | 2.96164i | ||||
\(670\) | 398.940 | + | 340.192i | 0.595434 | + | 0.507750i | ||||
\(671\) | 1061.25 | + | 1224.75i | 1.58160 | + | 1.82526i | ||||
\(672\) | 104.995 | − | 67.4762i | 0.156243 | − | 0.100411i | ||||
\(673\) | 182.765 | + | 158.367i | 0.271568 | + | 0.235315i | 0.779988 | − | 0.625794i | \(-0.215225\pi\) |
−0.508421 | + | 0.861109i | \(0.669770\pi\) | |||||||
\(674\) | 387.230 | + | 55.6752i | 0.574525 | + | 0.0826042i | ||||
\(675\) | −1174.53 | + | 1892.83i | −1.74004 | + | 2.80420i | ||||
\(676\) | −220.546 | − | 141.736i | −0.326251 | − | 0.209669i | ||||
\(677\) | 44.7074 | + | 310.947i | 0.0660375 | + | 0.459301i | 0.995831 | + | 0.0912188i | \(0.0290763\pi\) |
−0.929793 | + | 0.368082i | \(0.880015\pi\) | |||||||
\(678\) | −209.366 | − | 458.448i | −0.308800 | − | 0.676177i | ||||
\(679\) | −268.903 | − | 588.815i | −0.396028 | − | 0.867180i | ||||
\(680\) | −48.2630 | + | 169.316i | −0.0709750 | + | 0.248993i | ||||
\(681\) | 462.318 | − | 719.382i | 0.678882 | − | 1.05636i | ||||
\(682\) | −884.686 | + | 259.767i | −1.29719 | + | 0.380890i | ||||
\(683\) | 1179.29 | + | 169.556i | 1.72663 | + | 0.248252i | 0.932931 | − | 0.360054i | \(-0.117242\pi\) |
0.793702 | + | 0.608306i | \(0.208151\pi\) | |||||||
\(684\) | −907.321 | − | 786.198i | −1.32649 | − | 1.14941i | ||||
\(685\) | 15.7520 | + | 103.722i | 0.0229956 | + | 0.151419i | ||||
\(686\) | −340.349 | + | 294.914i | −0.496135 | + | 0.429904i | ||||
\(687\) | 1080.05 | + | 317.131i | 1.57213 | + | 0.461618i | ||||
\(688\) | 6.12737 | − | 13.4171i | 0.00890607 | − | 0.0195016i | ||||
\(689\) | 116.873i | 0.169628i | ||||||||
\(690\) | 466.848 | − | 816.009i | 0.676591 | − | 1.18262i | ||||
\(691\) | 430.862 | 0.623534 | 0.311767 | − | 0.950159i | \(-0.399079\pi\) | ||||
0.311767 | + | 0.950159i | \(0.399079\pi\) | |||||||
\(692\) | 406.489 | + | 185.637i | 0.587412 | + | 0.268262i | ||||
\(693\) | 437.768 | − | 1490.90i | 0.631699 | − | 2.15137i | ||||
\(694\) | −397.873 | − | 459.170i | −0.573304 | − | 0.661628i | ||||
\(695\) | 171.610 | + | 1130.00i | 0.246920 | + | 1.62589i | ||||
\(696\) | 427.720 | − | 493.615i | 0.614540 | − | 0.709217i | ||||
\(697\) | 62.5625 | − | 435.132i | 0.0897598 | − | 0.624293i | ||||
\(698\) | −10.1734 | − | 34.6475i | −0.0145751 | − | 0.0496383i | ||||
\(699\) | −724.347 | − | 465.510i | −1.03626 | − | 0.665965i | ||||
\(700\) | 122.674 | − | 146.187i | 0.175249 | − | 0.208839i | ||||
\(701\) | 123.883 | − | 56.5753i | 0.176723 | − | 0.0807066i | −0.325089 | − | 0.945683i | \(-0.605394\pi\) |
0.501812 | + | 0.864977i | \(0.332667\pi\) | |||||||
\(702\) | 705.842 | − | 322.347i | 1.00547 | − | 0.459184i | ||||
\(703\) | −513.999 | + | 73.9019i | −0.731151 | + | 0.105124i | ||||
\(704\) | −72.1201 | + | 112.221i | −0.102443 | + | 0.159405i | ||||
\(705\) | −78.5522 | + | 578.834i | −0.111422 | + | 0.821042i | ||||
\(706\) | 45.9284 | − | 319.439i | 0.0650543 | − | 0.452463i | ||||
\(707\) | 195.376 | − | 225.476i | 0.276345 | − | 0.318919i | ||||
\(708\) | 343.850 | + | 535.041i | 0.485664 | + | 0.755708i | ||||
\(709\) | −515.318 | + | 446.525i | −0.726823 | + | 0.629796i | −0.937591 | − | 0.347740i | \(-0.886949\pi\) |
0.210768 | + | 0.977536i | \(0.432404\pi\) | |||||||
\(710\) | 195.299 | + | 166.539i | 0.275070 | + | 0.234563i | ||||
\(711\) | −1864.00 | − | 851.261i | −2.62166 | − | 1.19727i | ||||
\(712\) | 320.443 | 0.450060 | ||||||||
\(713\) | −290.748 | − | 850.998i | −0.407781 | − | 1.19355i | ||||
\(714\) | −388.443 | −0.544037 | ||||||||
\(715\) | 339.263 | + | 385.325i | 0.474494 | + | 0.538916i | ||||
\(716\) | −87.4754 | − | 25.6851i | −0.122172 | − | 0.0358730i | ||||
\(717\) | −527.004 | + | 456.652i | −0.735012 | + | 0.636892i | ||||
\(718\) | −81.4267 | + | 52.3298i | −0.113408 | + | 0.0728827i | ||||
\(719\) | 389.246 | − | 449.214i | 0.541372 | − | 0.624777i | −0.417479 | − | 0.908687i | \(-0.637086\pi\) |
0.958851 | + | 0.283910i | \(0.0916317\pi\) | |||||||
\(720\) | 412.855 | + | 260.731i | 0.573410 | + | 0.362127i | ||||
\(721\) | 250.873 | − | 73.6629i | 0.347951 | − | 0.102168i | ||||
\(722\) | 186.185 | − | 289.709i | 0.257874 | − | 0.401259i | ||||
\(723\) | −162.568 | − | 1130.69i | −0.224852 | − | 1.56388i | ||||
\(724\) | −331.238 | + | 151.271i | −0.457511 | + | 0.208938i | ||||
\(725\) | 400.442 | − | 914.907i | 0.552334 | − | 1.26194i | ||||
\(726\) | 182.708 | + | 1270.76i | 0.251664 | + | 1.75036i | ||||
\(727\) | 152.575 | + | 98.0539i | 0.209869 | + | 0.134875i | 0.641353 | − | 0.767246i | \(-0.278373\pi\) |
−0.431484 | + | 0.902121i | \(0.642010\pi\) | |||||||
\(728\) | −63.7836 | + | 18.7286i | −0.0876149 | + | 0.0257260i | ||||
\(729\) | 366.466 | − | 2548.83i | 0.502697 | − | 3.49634i | ||||
\(730\) | −88.8728 | − | 190.597i | −0.121744 | − | 0.261092i | ||||
\(731\) | −38.6193 | + | 24.8191i | −0.0528308 | + | 0.0339523i | ||||
\(732\) | −735.799 | − | 849.157i | −1.00519 | − | 1.16005i | ||||
\(733\) | −849.216 | − | 249.352i | −1.15855 | − | 0.340181i | −0.354680 | − | 0.934988i | \(-0.615410\pi\) |
−0.803868 | + | 0.594807i | \(0.797228\pi\) | |||||||
\(734\) | 852.941 | + | 389.525i | 1.16205 | + | 0.530688i | ||||
\(735\) | −908.493 | − | 406.234i | −1.23605 | − | 0.552700i | ||||
\(736\) | −112.417 | − | 65.5015i | −0.152740 | − | 0.0889966i | ||||
\(737\) | − | 1236.37i | − | 1.67757i | ||||||
\(738\) | −1109.05 | − | 506.485i | −1.50278 | − | 0.686295i | ||||
\(739\) | −253.550 | − | 74.4490i | −0.343099 | − | 0.100743i | 0.105644 | − | 0.994404i | \(-0.466310\pi\) |
−0.448742 | + | 0.893661i | \(0.648128\pi\) | |||||||
\(740\) | 202.172 | − | 61.1055i | 0.273205 | − | 0.0825749i | ||||
\(741\) | 473.156 | + | 736.245i | 0.638537 | + | 0.993582i | ||||
\(742\) | −77.4253 | − | 67.0894i | −0.104347 | − | 0.0904170i | ||||
\(743\) | 68.6066 | − | 477.169i | 0.0923373 | − | 0.642220i | −0.890119 | − | 0.455728i | \(-0.849379\pi\) |
0.982456 | − | 0.186492i | \(-0.0597119\pi\) | |||||||
\(744\) | 613.380 | − | 180.105i | 0.824436 | − | 0.242076i | ||||
\(745\) | −106.229 | − | 162.453i | −0.142589 | − | 0.218058i | ||||
\(746\) | 200.337 | − | 28.8041i | 0.268548 | − | 0.0386114i | ||||
\(747\) | 147.143 | + | 322.199i | 0.196979 | + | 0.431324i | ||||
\(748\) | 377.658 | − | 172.471i | 0.504890 | − | 0.230576i | ||||
\(749\) | 1.43669 | + | 9.99242i | 0.00191815 | + | 0.0133410i | ||||
\(750\) | 987.032 | + | 264.529i | 1.31604 | + | 0.352705i | ||||
\(751\) | −163.258 | − | 556.005i | −0.217387 | − | 0.740352i | −0.993903 | − | 0.110255i | \(-0.964833\pi\) |
0.776516 | − | 0.630097i | \(-0.216985\pi\) | |||||||
\(752\) | 80.0194 | + | 11.5051i | 0.106409 | + | 0.0152993i | ||||
\(753\) | 541.676 | − | 625.127i | 0.719357 | − | 0.830182i | ||||
\(754\) | −292.660 | + | 188.081i | −0.388143 | + | 0.249444i | ||||
\(755\) | −14.8802 | + | 4.49748i | −0.0197089 | + | 0.00595692i | ||||
\(756\) | −191.632 | + | 652.638i | −0.253481 | + | 0.863278i | ||||
\(757\) | −135.016 | + | 295.645i | −0.178357 | + | 0.390548i | −0.977603 | − | 0.210456i | \(-0.932505\pi\) |
0.799246 | + | 0.601004i | \(0.205232\pi\) | |||||||
\(758\) | 650.076 | 0.857620 | ||||||||
\(759\) | −2178.53 | + | 410.896i | −2.87026 | + | 0.541365i | ||||
\(760\) | −141.936 | + | 317.422i | −0.186758 | + | 0.417660i | ||||
\(761\) | 204.228 | − | 447.198i | 0.268368 | − | 0.587645i | −0.726687 | − | 0.686969i | \(-0.758941\pi\) |
0.995055 | + | 0.0993240i | \(0.0316680\pi\) | |||||||
\(762\) | −184.703 | + | 629.039i | −0.242392 | + | 0.825511i | ||||
\(763\) | −325.941 | + | 282.430i | −0.427184 | + | 0.370157i | ||||
\(764\) | −262.632 | − | 408.663i | −0.343759 | − | 0.534899i | ||||
\(765\) | −642.241 | − | 1377.35i | −0.839531 | − | 1.80046i | ||||
\(766\) | −236.125 | − | 33.9496i | −0.308257 | − | 0.0443207i | ||||
\(767\) | −95.4383 | − | 325.033i | −0.124431 | − | 0.423772i | ||||
\(768\) | 50.0032 | − | 77.8064i | 0.0651083 | − | 0.101310i | ||||
\(769\) | 1211.35 | − | 174.166i | 1.57523 | − | 0.226484i | 0.701418 | − | 0.712750i | \(-0.252550\pi\) |
0.873811 | + | 0.486266i | \(0.161641\pi\) | |||||||
\(770\) | −450.015 | + | 3.56245i | −0.584435 | + | 0.00462656i | ||||
\(771\) | 1101.87 | + | 2412.75i | 1.42914 | + | 3.12938i | ||||
\(772\) | 531.673 | − | 76.4430i | 0.688695 | − | 0.0990194i | ||||
\(773\) | 172.996 | + | 111.178i | 0.223798 | + | 0.143827i | 0.647736 | − | 0.761865i | \(-0.275716\pi\) |
−0.423938 | + | 0.905691i | \(0.639352\pi\) | |||||||
\(774\) | 35.8703 | + | 122.163i | 0.0463441 | + | 0.157833i | ||||
\(775\) | 813.852 | − | 541.426i | 1.05013 | − | 0.698614i | ||||
\(776\) | −362.525 | − | 314.130i | −0.467172 | − | 0.404807i | ||||
\(777\) | 251.929 | + | 392.009i | 0.324233 | + | 0.504517i | ||||
\(778\) | −161.999 | − | 186.957i | −0.208225 | − | 0.240304i | ||||
\(779\) | 244.601 | − | 833.035i | 0.313994 | − | 1.06936i | ||||
\(780\) | −235.222 | − | 267.158i | −0.301567 | − | 0.342510i | ||||
\(781\) | − | 605.258i | − | 0.774978i | ||||||
\(782\) | 184.120 | + | 360.658i | 0.235447 | + | 0.461200i | ||||
\(783\) | 3559.59i | 4.54609i | ||||||||
\(784\) | −57.2145 | + | 125.282i | −0.0729777 | + | 0.159799i | ||||
\(785\) | 259.829 | − | 304.699i | 0.330992 | − | 0.388152i | ||||
\(786\) | −73.0913 | − | 84.3518i | −0.0929914 | − | 0.107318i | ||||
\(787\) | 831.899 | − | 534.629i | 1.05705 | − | 0.679326i | 0.107905 | − | 0.994161i | \(-0.465586\pi\) |
0.949146 | + | 0.314836i | \(0.101949\pi\) | |||||||
\(788\) | −459.792 | − | 398.412i | −0.583492 | − | 0.505599i | ||||
\(789\) | 188.406 | + | 27.0887i | 0.238791 | + | 0.0343329i | ||||
\(790\) | −79.8098 | + | 588.101i | −0.101025 | + | 0.744432i | ||||
\(791\) | −197.955 | − | 127.218i | −0.250259 | − | 0.160832i | ||||
\(792\) | −163.872 | − | 1139.75i | −0.206909 | − | 1.43908i | ||||
\(793\) | 248.610 | + | 544.379i | 0.313505 | + | 0.686481i | ||||
\(794\) | −449.819 | − | 984.966i | −0.566523 | − | 1.24051i | ||||
\(795\) | 150.378 | − | 527.554i | 0.189155 | − | 0.663590i | ||||
\(796\) | −225.065 | + | 350.208i | −0.282745 | + | 0.439960i | ||||
\(797\) | 1236.35 | − | 363.024i | 1.55125 | − | 0.455488i | 0.609777 | − | 0.792573i | \(-0.291259\pi\) |
0.941474 | + | 0.337085i | \(0.109441\pi\) | |||||||
\(798\) | −759.348 | − | 109.178i | −0.951564 | − | 0.136814i | ||||
\(799\) | −190.152 | − | 164.768i | −0.237988 | − | 0.206218i | ||||
\(800\) | 37.6898 | − | 136.307i | 0.0471122 | − | 0.170383i | ||||
\(801\) | −2090.42 | + | 1811.36i | −2.60976 | + | 2.26137i | ||||
\(802\) | 188.431 | + | 55.3282i | 0.234951 | + | 0.0689878i | ||||
\(803\) | −206.012 | + | 451.102i | −0.256552 | + | 0.561771i | ||||
\(804\) | 857.212i | 1.06618i | ||||||||
\(805\) | −22.6116 | − | 438.348i | −0.0280890 | − | 0.544532i | ||||
\(806\) | −340.497 | −0.422453 | ||||||||
\(807\) | 1377.33 | + | 629.003i | 1.70672 | + | 0.779434i | ||||
\(808\) | 62.2882 | − | 212.134i | 0.0770894 | − | 0.262542i | ||||
\(809\) | −484.915 | − | 559.622i | −0.599401 | − | 0.691746i | 0.372259 | − | 0.928129i | \(-0.378583\pi\) |
−0.971660 | + | 0.236383i | \(0.924038\pi\) | |||||||
\(810\) | −2064.72 | + | 313.564i | −2.54904 | + | 0.387116i | ||||
\(811\) | −411.715 | + | 475.145i | −0.507664 | + | 0.585875i | −0.950499 | − | 0.310728i | \(-0.899427\pi\) |
0.442835 | + | 0.896603i | \(0.353973\pi\) | |||||||
\(812\) | 43.3985 | − | 301.844i | 0.0534465 | − | 0.371728i | ||||
\(813\) | 525.976 | + | 1791.31i | 0.646957 | + | 2.20333i | ||||
\(814\) | −418.989 | − | 269.268i | −0.514728 | − | 0.330796i | ||||
\(815\) | −181.679 | + | 637.362i | −0.222919 | + | 0.782040i | ||||
\(816\) | −261.842 | + | 119.579i | −0.320885 | + | 0.146543i | ||||
\(817\) | −82.4708 | + | 37.6632i | −0.100944 | + | 0.0460994i | ||||
\(818\) | −882.597 | + | 126.898i | −1.07897 | + | 0.155132i | ||||
\(819\) | 310.229 | − | 482.725i | 0.378790 | − | 0.589408i | ||||
\(820\) | −47.4854 | + | 349.910i | −0.0579090 | + | 0.426719i | ||||
\(821\) | 33.4084 | − | 232.360i | 0.0406923 | − | 0.283021i | −0.959307 | − | 0.282364i | \(-0.908882\pi\) |
1.00000 | 0.000657670i | \(-0.000209343\pi\) | ||||||||
\(822\) | −112.327 | + | 129.632i | −0.136651 | + | 0.157704i | ||||
\(823\) | −572.824 | − | 891.332i | −0.696020 | − | 1.08303i | −0.991803 | − | 0.127773i | \(-0.959217\pi\) |
0.295784 | − | 0.955255i | \(-0.404419\pi\) | |||||||
\(824\) | 146.432 | − | 126.884i | 0.177709 | − | 0.153986i | ||||
\(825\) | −1035.61 | − | 2175.83i | −1.25528 | − | 2.63737i | ||||
\(826\) | 270.110 | + | 123.355i | 0.327010 | + | 0.149340i | ||||
\(827\) | −1016.12 | −1.22868 | −0.614342 | − | 0.789040i | \(-0.710578\pi\) | ||||
−0.614342 | + | 0.789040i | \(0.710578\pi\) | |||||||
\(828\) | 1103.62 | − | 208.155i | 1.33287 | − | 0.251395i | ||||
\(829\) | 1325.69 | 1.59915 | 0.799575 | − | 0.600567i | \(-0.205058\pi\) | ||||
0.799575 | + | 0.600567i | \(0.205058\pi\) | |||||||
\(830\) | 76.9959 | − | 67.7919i | 0.0927661 | − | 0.0816769i | ||||
\(831\) | −801.413 | − | 235.316i | −0.964396 | − | 0.283172i | ||||
\(832\) | −37.2299 | + | 32.2599i | −0.0447475 | + | 0.0387739i | ||||
\(833\) | 360.608 | − | 231.749i | 0.432903 | − | 0.278210i | ||||
\(834\) | −1223.75 | + | 1412.28i | −1.46732 | + | 1.69338i | ||||
\(835\) | 285.514 | − | 452.098i | 0.341933 | − | 0.541435i | ||||
\(836\) | 786.741 | − | 231.008i | 0.941078 | − | 0.276325i | ||||
\(837\) | −1883.59 | + | 2930.92i | −2.25040 | + | 3.50170i | ||||
\(838\) | −55.9860 | − | 389.391i | −0.0668091 | − | 0.464667i | ||||
\(839\) | 463.529 | − | 211.687i | 0.552478 | − | 0.252308i | −0.119557 | − | 0.992827i | \(-0.538147\pi\) |
0.672036 | + | 0.740519i | \(0.265420\pi\) | |||||||
\(840\) | 312.010 | − | 2.46996i | 0.371440 | − | 0.00294043i | ||||
\(841\) | −107.427 | − | 747.172i | −0.127737 | − | 0.888433i | ||||
\(842\) | −56.4000 | − | 36.2461i | −0.0669834 | − | 0.0430476i | ||||
\(843\) | 81.5688 | − | 23.9508i | 0.0967601 | − | 0.0284113i | ||||
\(844\) | −59.6400 | + | 414.805i | −0.0706635 | + | 0.491475i | ||||
\(845\) | −276.977 | − | 594.007i | −0.327784 | − | 0.702967i | ||||
\(846\) | −587.045 | + | 377.271i | −0.693906 | + | 0.445947i | ||||
\(847\) | 392.529 | + | 453.002i | 0.463434 | + | 0.534831i | ||||
\(848\) | −72.8439 | − | 21.3889i | −0.0859009 | − | 0.0252228i | ||||
\(849\) | 1762.06 | + | 804.705i | 2.07545 | + | 0.947827i | ||||
\(850\) | −328.038 | + | 293.467i | −0.385927 | + | 0.345255i | ||||
\(851\) | 244.557 | − | 419.720i | 0.287376 | − | 0.493208i | ||||
\(852\) | 419.644i | 0.492540i | ||||||||
\(853\) | −1360.46 | − | 621.303i | −1.59492 | − | 0.728374i | −0.597615 | − | 0.801784i | \(-0.703885\pi\) |
−0.997302 | + | 0.0734095i | \(0.976612\pi\) | |||||||
\(854\) | −503.346 | − | 147.796i | −0.589398 | − | 0.173063i | ||||
\(855\) | −868.361 | − | 2873.03i | −1.01563 | − | 3.36027i | ||||
\(856\) | 4.04454 | + | 6.29343i | 0.00472493 | + | 0.00735214i | ||||
\(857\) | 431.114 | + | 373.563i | 0.503051 | + | 0.435896i | 0.869054 | − | 0.494718i | \(-0.164729\pi\) |
−0.366003 | + | 0.930614i | \(0.619274\pi\) | |||||||
\(858\) | −119.458 | + | 830.849i | −0.139229 | + | 0.968356i | ||||
\(859\) | −595.456 | + | 174.842i | −0.693197 | + | 0.203541i | −0.609308 | − | 0.792934i | \(-0.708552\pi\) |
−0.0838896 | + | 0.996475i | \(0.526734\pi\) | |||||||
\(860\) | 30.8625 | − | 20.1811i | 0.0358866 | − | 0.0234664i | ||||
\(861\) | −771.157 | + | 110.876i | −0.895652 | + | 0.128775i | ||||
\(862\) | −71.4555 | − | 156.466i | −0.0828950 | − | 0.181515i | ||||
\(863\) | −556.627 | + | 254.203i | −0.644990 | + | 0.294557i | −0.710926 | − | 0.703267i | \(-0.751724\pi\) |
0.0659358 | + | 0.997824i | \(0.478997\pi\) | |||||||
\(864\) | 71.7345 | + | 498.924i | 0.0830260 | + | 0.577458i | ||||
\(865\) | 611.413 | + | 935.020i | 0.706836 | + | 1.08095i | ||||
\(866\) | 319.567 | + | 1088.34i | 0.369015 | + | 1.25675i | ||||
\(867\) | −766.792 | − | 110.248i | −0.884420 | − | 0.127160i | ||||
\(868\) | 195.457 | − | 225.570i | 0.225181 | − | 0.259873i | ||||
\(869\) | 1177.37 | − | 756.652i | 1.35486 | − | 0.870716i | ||||
\(870\) | 1563.03 | − | 472.419i | 1.79659 | − | 0.543011i | ||||
\(871\) | 128.633 | − | 438.082i | 0.147684 | − | 0.502965i | ||||
\(872\) | −132.767 | + | 290.719i | −0.152256 | + | 0.333394i | ||||
\(873\) | 4140.63 | 4.74299 | ||||||||
\(874\) | 258.559 | + | 756.783i | 0.295834 | + | 0.865885i | ||||
\(875\) | 454.452 | − | 145.247i | 0.519374 | − | 0.165996i | ||||
\(876\) | 142.834 | − | 312.764i | 0.163053 | − | 0.357036i | ||||
\(877\) | −466.792 | + | 1589.75i | −0.532260 | + | 1.81271i | 0.0487451 | + | 0.998811i | \(0.484478\pi\) |
−0.581005 | + | 0.813900i | \(0.697340\pi\) | |||||||
\(878\) | 139.560 | − | 120.930i | 0.158953 | − | 0.137733i | ||||
\(879\) | 794.842 | + | 1236.80i | 0.904258 | + | 1.40705i | ||||
\(880\) | −302.250 | + | 140.935i | −0.343466 | + | 0.160154i | ||||
\(881\) | −561.445 | − | 80.7236i | −0.637282 | − | 0.0916273i | −0.183902 | − | 0.982945i | \(-0.558873\pi\) |
−0.453380 | + | 0.891317i | \(0.649782\pi\) | |||||||
\(882\) | −334.940 | − | 1140.70i | −0.379750 | − | 1.29331i | ||||
\(883\) | 260.095 | − | 404.716i | 0.294558 | − | 0.458342i | −0.662158 | − | 0.749365i | \(-0.730359\pi\) |
0.956716 | + | 0.291023i | \(0.0939955\pi\) | |||||||
\(884\) | 151.760 | − | 21.8197i | 0.171674 | − | 0.0246830i | ||||
\(885\) | 12.5866 | + | 1589.96i | 0.0142221 | + | 1.79657i | ||||
\(886\) | 175.414 | + | 384.103i | 0.197984 | + | 0.433525i | ||||
\(887\) | −1065.71 | + | 153.226i | −1.20148 | + | 0.172746i | −0.713846 | − | 0.700303i | \(-0.753048\pi\) |
−0.487632 | + | 0.873049i | \(0.662139\pi\) | |||||||
\(888\) | 290.498 | + | 186.692i | 0.327138 | + | 0.210239i | ||||
\(889\) | 86.2358 | + | 293.692i | 0.0970032 | + | 0.330362i | ||||
\(890\) | 677.341 | + | 427.762i | 0.761057 | + | 0.480632i | ||||
\(891\) | 3721.89 | + | 3225.04i | 4.17721 | + | 3.61957i | ||||
\(892\) | 407.439 | + | 633.987i | 0.456770 | + | 0.710748i | ||||
\(893\) | −325.409 | − | 375.542i | −0.364400 | − | 0.420540i | ||||
\(894\) | 89.4089 | − | 304.499i | 0.100010 | − | 0.340602i | ||||
\(895\) | −150.615 | − | 171.064i | −0.168285 | − | 0.191133i | ||||
\(896\) | − | 43.1820i | − | 0.0481942i | ||||||
\(897\) | −814.669 | − | 81.0630i | −0.908215 | − | 0.0903712i | ||||
\(898\) | 1.71116i | 0.00190553i | ||||||||
\(899\) | 648.864 | − | 1420.81i | 0.721762 | − | 1.58044i | ||||
\(900\) | 524.627 | + | 1102.25i | 0.582919 | + | 1.22472i | ||||
\(901\) | 154.734 | + | 178.573i | 0.171736 | + | 0.198194i | ||||
\(902\) | 700.517 | − | 450.195i | 0.776626 | − | 0.499107i | ||||
\(903\) | 61.4861 | + | 53.2780i | 0.0680909 | + | 0.0590011i | ||||
\(904\) | −172.601 | − | 24.8162i | −0.190930 | − | 0.0274516i | ||||
\(905\) | −902.093 | − | 122.421i | −0.996788 | − | 0.135272i | ||||
\(906\) | −21.3812 | − | 13.7409i | −0.0235996 | − | 0.0151665i | ||||
\(907\) | −192.701 | − | 1340.27i | −0.212460 | − | 1.47769i | −0.764905 | − | 0.644143i | \(-0.777214\pi\) |
0.552445 | − | 0.833549i | \(-0.313695\pi\) | |||||||
\(908\) | −122.907 | − | 269.128i | −0.135360 | − | 0.296397i | ||||
\(909\) | 792.788 | + | 1735.96i | 0.872154 | + | 1.90975i | ||||
\(910\) | −159.825 | − | 45.5576i | −0.175632 | − | 0.0500633i | ||||
\(911\) | −943.875 | + | 1468.70i | −1.03609 | + | 1.61218i | −0.277368 | + | 0.960764i | \(0.589462\pi\) |
−0.758719 | + | 0.651419i | \(0.774174\pi\) | |||||||
\(912\) | −545.472 | + | 160.165i | −0.598106 | + | 0.175620i | ||||
\(913\) | −239.454 | − | 34.4283i | −0.262272 | − | 0.0377090i | ||||
\(914\) | −820.215 | − | 710.720i | −0.897390 | − | 0.777593i | ||||
\(915\) | −421.758 | − | 2777.15i | −0.460938 | − | 3.03513i | ||||
\(916\) | 294.335 | − | 255.042i | 0.321326 | − | 0.278431i | ||||
\(917\) | −50.0003 | − | 14.6814i | −0.0545260 | − | 0.0160103i | ||||
\(918\) | 651.696 | − | 1427.02i | 0.709909 | − | 1.55448i | ||||
\(919\) | 79.8589i | 0.0868976i | 0.999056 | + | 0.0434488i | \(0.0138345\pi\) | ||||
−0.999056 | + | 0.0434488i | \(0.986165\pi\) | |||||||
\(920\) | −150.184 | − | 288.522i | −0.163244 | − | 0.313610i | ||||
\(921\) | −2310.21 | −2.50838 | ||||||||
\(922\) | −1071.00 | − | 489.107i | −1.16160 | − | 0.530485i | ||||
\(923\) | 62.9715 | − | 214.461i | 0.0682248 | − | 0.232352i | ||||
\(924\) | −481.840 | − | 556.074i | −0.521472 | − | 0.601811i | ||||
\(925\) | 508.914 | + | 140.719i | 0.550178 | + | 0.152128i | ||||
\(926\) | −349.067 | + | 402.845i | −0.376962 | + | 0.435038i | ||||
\(927\) | −238.021 | + | 1655.47i | −0.256765 | + | 1.78584i | ||||
\(928\) | −63.6662 | − | 216.827i | −0.0686058 | − | 0.233650i | ||||
\(929\) | 144.738 | + | 93.0176i | 0.155800 | + | 0.100127i | 0.616218 | − | 0.787576i | \(-0.288664\pi\) |
−0.460418 | + | 0.887702i | \(0.652300\pi\) | |||||||
\(930\) | 1536.97 | + | 438.109i | 1.65265 | + | 0.471085i | ||||
\(931\) | 770.073 | − | 351.681i | 0.827146 | − | 0.377745i | ||||
\(932\) | −270.986 | + | 123.755i | −0.290758 | + | 0.132785i | ||||
\(933\) | 844.467 | − | 121.416i | 0.905109 | − | 0.130135i | ||||
\(934\) | −146.351 | + | 227.726i | −0.156692 | + | 0.243818i | ||||
\(935\) | 1028.51 | + | 139.577i | 1.10001 | + | 0.149280i | ||||
\(936\) | 60.5160 | − | 420.898i | 0.0646538 | − | 0.449677i | ||||
\(937\) | −711.393 | + | 820.992i | −0.759225 | + | 0.876192i | −0.995428 | − | 0.0955116i | \(-0.969551\pi\) |
0.236204 | + | 0.971704i | \(0.424097\pi\) | |||||||
\(938\) | 216.377 | + | 336.690i | 0.230680 | + | 0.358944i | ||||
\(939\) | 529.126 | − | 458.490i | 0.563500 | − | 0.488275i | ||||
\(940\) | 153.784 | + | 131.138i | 0.163600 | + | 0.139508i | ||||
\(941\) | −615.614 | − | 281.142i | −0.654213 | − | 0.298769i | 0.0605197 | − | 0.998167i | \(-0.480724\pi\) |
−0.714732 | + | 0.699398i | \(0.753451\pi\) | |||||||
\(942\) | 654.714 | 0.695025 | ||||||||
\(943\) | 468.469 | + | 663.443i | 0.496786 | + | 0.703545i | ||||
\(944\) | 220.050 | 0.233104 | ||||||||
\(945\) | −1276.28 | + | 1123.71i | −1.35056 | + | 1.18912i | ||||
\(946\) | −83.4347 | − | 24.4986i | −0.0881973 | − | 0.0258971i | ||||
\(947\) | −355.666 | + | 308.186i | −0.375571 | + | 0.325434i | −0.822109 | − | 0.569331i | \(-0.807202\pi\) |
0.446537 | + | 0.894765i | \(0.352657\pi\) | |||||||
\(948\) | −816.311 | + | 524.611i | −0.861087 | + | 0.553387i | ||||
\(949\) | −119.929 | + | 138.406i | −0.126374 | + | 0.145844i | ||||
\(950\) | −723.749 | + | 481.484i | −0.761841 | + | 0.506826i | ||||
\(951\) | 1235.25 | − | 362.702i | 1.29890 | − | 0.381390i | ||||
\(952\) | −72.6603 | + | 113.062i | −0.0763239 | + | 0.118762i | ||||
\(953\) | 152.819 | + | 1062.88i | 0.160355 | + | 1.11530i | 0.897965 | + | 0.440068i | \(0.145046\pi\) |
−0.737609 | + | 0.675228i | \(0.764045\pi\) | |||||||
\(954\) | 596.106 | − | 272.232i | 0.624849 | − | 0.285359i | ||||
\(955\) | −9.61360 | − | 1214.41i | −0.0100666 | − | 1.27163i | ||||
\(956\) | 34.3358 | + | 238.811i | 0.0359161 | + | 0.249802i | ||||
\(957\) | −3239.29 | − | 2081.77i | −3.38484 | − | 2.17530i | ||||
\(958\) | −101.383 | + | 29.7688i | −0.105828 | + | 0.0310739i | ||||
\(959\) | −11.3973 | + | 79.2697i | −0.0118845 | + | 0.0826587i | ||||
\(960\) | 209.560 | − | 97.7149i | 0.218291 | − | 0.101786i | ||||
\(961\) | 477.659 | − | 306.973i | 0.497044 | − | 0.319431i | ||||
\(962\) | −120.446 | − | 139.002i | −0.125203 | − | 0.144492i | ||||
\(963\) | −61.9596 | − | 18.1930i | −0.0643401 | − | 0.0188920i | ||||
\(964\) | −359.511 | − | 164.183i | −0.372937 | − | 0.170314i | ||||
\(965\) | 1225.88 | + | 548.153i | 1.27034 | + | 0.568034i | ||||
\(966\) | 521.350 | − | 493.162i | 0.539700 | − | 0.510519i | ||||
\(967\) | − | 1247.83i | − | 1.29041i | −0.764010 | − | 0.645205i | \(-0.776772\pi\) | ||
0.764010 | − | 0.645205i | \(-0.223228\pi\) | |||||||
\(968\) | 404.050 | + | 184.523i | 0.417407 | + | 0.190623i | ||||
\(969\) | 1697.69 | + | 498.486i | 1.75200 | + | 0.514434i | ||||
\(970\) | −346.958 | − | 1147.94i | −0.357689 | − | 1.18344i | ||||
\(971\) | 371.813 | + | 578.553i | 0.382918 | + | 0.595832i | 0.978195 | − | 0.207689i | \(-0.0665941\pi\) |
−0.595277 | + | 0.803520i | \(0.702958\pi\) | |||||||
\(972\) | −1368.36 | − | 1185.69i | −1.40778 | − | 1.21985i | ||||
\(973\) | −124.167 | + | 863.602i | −0.127613 | + | 0.887566i | ||||
\(974\) | −647.374 | + | 190.086i | −0.664655 | + | 0.195160i | ||||
\(975\) | −140.572 | − | 878.710i | −0.144177 | − | 0.901241i | ||||
\(976\) | −384.794 | + | 55.3250i | −0.394256 | + | 0.0566855i | ||||
\(977\) | −203.208 | − | 444.964i | −0.207992 | − | 0.455439i | 0.776671 | − | 0.629907i | \(-0.216907\pi\) |
−0.984663 | + | 0.174467i | \(0.944180\pi\) | |||||||
\(978\) | −985.664 | + | 450.138i | −1.00784 | + | 0.460264i | ||||
\(979\) | −268.852 | − | 1869.91i | −0.274619 | − | 1.91002i | ||||
\(980\) | −288.179 | + | 188.441i | −0.294060 | + | 0.192287i | ||||
\(981\) | −777.232 | − | 2647.01i | −0.792286 | − | 2.69828i | ||||
\(982\) | 773.507 | + | 111.213i | 0.787685 | + | 0.113252i | ||||
\(983\) | −914.570 | + | 1055.47i | −0.930386 | + | 1.07372i | 0.0667253 | + | 0.997771i | \(0.478745\pi\) |
−0.997112 | + | 0.0759515i | \(0.975801\pi\) | |||||||
\(984\) | −485.690 | + | 312.134i | −0.493588 | + | 0.317210i | ||||
\(985\) | −440.048 | − | 1455.93i | −0.446750 | − | 1.47810i | ||||
\(986\) | −198.150 | + | 674.837i | −0.200963 | + | 0.684419i | ||||
\(987\) | −185.237 | + | 405.612i | −0.187677 | + | 0.410955i | ||||
\(988\) | 302.801 | 0.306478 | ||||||||
\(989\) | 20.3230 | − | 82.3416i | 0.0205491 | − | 0.0832575i | ||||
\(990\) | 1175.08 | − | 2627.92i | 1.18695 | − | 2.65447i | ||||
\(991\) | 488.935 | − | 1070.62i | 0.493375 | − | 1.08034i | −0.485191 | − | 0.874408i | \(-0.661250\pi\) |
0.978566 | − | 0.205933i | \(-0.0660229\pi\) | |||||||
\(992\) | 62.3141 | − | 212.222i | 0.0628167 | − | 0.213934i | ||||
\(993\) | 2142.05 | − | 1856.09i | 2.15715 | − | 1.86918i | ||||
\(994\) | 105.927 | + | 164.825i | 0.106566 | + | 0.165820i | ||||
\(995\) | −943.232 | + | 439.817i | −0.947972 | + | 0.442027i | ||||
\(996\) | 166.021 | + | 23.8702i | 0.166688 | + | 0.0239661i | ||||
\(997\) | −80.1692 | − | 273.031i | −0.0804105 | − | 0.273853i | 0.909467 | − | 0.415775i | \(-0.136490\pi\) |
−0.989878 | + | 0.141923i | \(0.954672\pi\) | |||||||
\(998\) | −2.06255 | + | 3.20940i | −0.00206669 | + | 0.00321583i | ||||
\(999\) | −1862.78 | + | 267.828i | −1.86465 | + | 0.268096i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 230.3.i.a.109.13 | yes | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.109.12 | yes | 240 | |
23.19 | odd | 22 | inner | 230.3.i.a.19.12 | ✓ | 240 | |
115.19 | odd | 22 | inner | 230.3.i.a.19.13 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.12 | ✓ | 240 | 23.19 | odd | 22 | inner | |
230.3.i.a.19.13 | yes | 240 | 115.19 | odd | 22 | inner | |
230.3.i.a.109.12 | yes | 240 | 5.4 | even | 2 | inner | |
230.3.i.a.109.13 | yes | 240 | 1.1 | even | 1 | trivial |