Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [201,3,Mod(7,201)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(201, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 23]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("201.7");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 201 = 3 \cdot 67 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 201.n (of order \(66\), degree \(20\), 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: | \(5.47685331364\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{66})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{66}]$ |
Embedding invariants
Embedding label | 13.4 | ||
Character | \(\chi\) | \(=\) | 201.13 |
Dual form | 201.3.n.b.31.4 |
$q$-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 \(\left(\mathbb{Z}/201\mathbb{Z}\right)^\times\).
\(n\) | \(68\) | \(136\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{19}{66}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.37068 | − | 1.74296i | −0.685338 | − | 0.871479i | 0.311556 | − | 0.950228i | \(-0.399150\pi\) |
−0.996894 | + | 0.0787490i | \(0.974907\pi\) | |||||||
\(3\) | −1.30900 | − | 1.13425i | −0.436332 | − | 0.378084i | ||||
\(4\) | −0.216110 | + | 0.890817i | −0.0540275 | + | 0.222704i | ||||
\(5\) | −2.17329 | − | 3.38170i | −0.434658 | − | 0.676340i | 0.552962 | − | 0.833206i | \(-0.313497\pi\) |
−0.987620 | + | 0.156866i | \(0.949861\pi\) | |||||||
\(6\) | −0.182742 | + | 3.83622i | −0.0304569 | + | 0.639370i | ||||
\(7\) | 4.27625 | − | 10.6815i | 0.610892 | − | 1.52594i | −0.223466 | − | 0.974712i | \(-0.571737\pi\) |
0.834358 | − | 0.551223i | \(-0.185839\pi\) | |||||||
\(8\) | −6.21903 | + | 2.84014i | −0.777379 | + | 0.355017i | ||||
\(9\) | 0.426945 | + | 2.96946i | 0.0474383 | + | 0.329940i | ||||
\(10\) | −2.91529 | + | 8.42317i | −0.291529 | + | 0.842317i | ||||
\(11\) | 2.84427 | − | 0.135489i | 0.258570 | − | 0.0123172i | 0.0821031 | − | 0.996624i | \(-0.473836\pi\) |
0.176466 | + | 0.984307i | \(0.443533\pi\) | |||||||
\(12\) | 1.29330 | − | 0.920954i | 0.107775 | − | 0.0767461i | ||||
\(13\) | −2.08561 | − | 21.8415i | −0.160431 | − | 1.68011i | −0.614322 | − | 0.789055i | \(-0.710570\pi\) |
0.453891 | − | 0.891057i | \(-0.350036\pi\) | |||||||
\(14\) | −24.4788 | + | 7.18763i | −1.74849 | + | 0.513402i | ||||
\(15\) | −0.990876 | + | 6.89169i | −0.0660584 | + | 0.459446i | ||||
\(16\) | 16.7335 | + | 8.62674i | 1.04585 | + | 0.539171i | ||||
\(17\) | 5.87335 | + | 24.2103i | 0.345491 | + | 1.42413i | 0.834092 | + | 0.551626i | \(0.185992\pi\) |
−0.488601 | + | 0.872508i | \(0.662492\pi\) | |||||||
\(18\) | 4.59045 | − | 4.81432i | 0.255025 | − | 0.267462i | ||||
\(19\) | −23.9175 | + | 9.57512i | −1.25882 | + | 0.503954i | −0.902612 | − | 0.430455i | \(-0.858353\pi\) |
−0.356203 | + | 0.934408i | \(0.615929\pi\) | |||||||
\(20\) | 3.48215 | − | 1.20518i | 0.174107 | − | 0.0602591i | ||||
\(21\) | −17.7132 | + | 9.13177i | −0.843484 | + | 0.434846i | ||||
\(22\) | −4.13472 | − | 4.77172i | −0.187942 | − | 0.216896i | ||||
\(23\) | 7.01670 | + | 1.35236i | 0.305074 | + | 0.0587981i | 0.339491 | − | 0.940609i | \(-0.389745\pi\) |
−0.0344170 | + | 0.999408i | \(0.510957\pi\) | |||||||
\(24\) | 11.3621 | + | 3.33622i | 0.473422 | + | 0.139009i | ||||
\(25\) | 3.67265 | − | 8.04198i | 0.146906 | − | 0.321679i | ||||
\(26\) | −35.2101 | + | 33.5727i | −1.35423 | + | 1.29126i | ||||
\(27\) | 2.80925 | − | 4.37128i | 0.104046 | − | 0.161899i | ||||
\(28\) | 8.59117 | + | 6.11774i | 0.306827 | + | 0.218491i | ||||
\(29\) | −7.35879 | + | 12.7458i | −0.253752 | + | 0.439511i | −0.964556 | − | 0.263879i | \(-0.914998\pi\) |
0.710804 | + | 0.703390i | \(0.248331\pi\) | |||||||
\(30\) | 13.3701 | − | 7.71923i | 0.445670 | − | 0.257308i | ||||
\(31\) | −1.55693 | + | 16.3049i | −0.0502236 | + | 0.525966i | 0.934995 | + | 0.354662i | \(0.115404\pi\) |
−0.985218 | + | 0.171304i | \(0.945202\pi\) | |||||||
\(32\) | −2.72470 | − | 14.1371i | −0.0851468 | − | 0.441784i | ||||
\(33\) | −3.87681 | − | 3.04876i | −0.117479 | − | 0.0923866i | ||||
\(34\) | 34.1470 | − | 43.4215i | 1.00432 | − | 1.27710i | ||||
\(35\) | −45.4153 | + | 8.75308i | −1.29758 | + | 0.250088i | ||||
\(36\) | −2.73752 | − | 0.261401i | −0.0760421 | − | 0.00726114i | ||||
\(37\) | 27.8534 | + | 48.2436i | 0.752796 | + | 1.30388i | 0.946463 | + | 0.322813i | \(0.104629\pi\) |
−0.193667 | + | 0.981067i | \(0.562038\pi\) | |||||||
\(38\) | 49.4722 | + | 28.5628i | 1.30190 | + | 0.751652i | ||||
\(39\) | −22.0437 | + | 30.9560i | −0.565222 | + | 0.793744i | ||||
\(40\) | 23.1202 | + | 14.8585i | 0.578006 | + | 0.371462i | ||||
\(41\) | 5.04634 | + | 5.29245i | 0.123082 | + | 0.129084i | 0.782391 | − | 0.622787i | \(-0.214000\pi\) |
−0.659310 | + | 0.751872i | \(0.729151\pi\) | |||||||
\(42\) | 40.1953 | + | 18.3566i | 0.957031 | + | 0.437061i | ||||
\(43\) | 4.57190 | − | 15.5705i | 0.106323 | − | 0.362104i | −0.889095 | − | 0.457723i | \(-0.848665\pi\) |
0.995418 | + | 0.0956195i | \(0.0304832\pi\) | |||||||
\(44\) | −0.493978 | + | 2.56300i | −0.0112268 | + | 0.0582500i | ||||
\(45\) | 9.11397 | − | 7.89730i | 0.202533 | − | 0.175496i | ||||
\(46\) | −7.26052 | − | 14.0834i | −0.157837 | − | 0.306162i | ||||
\(47\) | −18.9395 | − | 54.7220i | −0.402968 | − | 1.16430i | −0.945882 | − | 0.324511i | \(-0.894800\pi\) |
0.542914 | − | 0.839788i | \(-0.317321\pi\) | |||||||
\(48\) | −12.1193 | − | 30.2724i | −0.252484 | − | 0.630676i | ||||
\(49\) | −60.3462 | − | 57.5400i | −1.23155 | − | 1.17428i | ||||
\(50\) | −19.0508 | + | 4.62169i | −0.381017 | + | 0.0924337i | ||||
\(51\) | 19.7724 | − | 38.3530i | 0.387693 | − | 0.752020i | ||||
\(52\) | 19.9075 | + | 2.86226i | 0.382836 | + | 0.0550435i | ||||
\(53\) | −24.4451 | − | 83.2523i | −0.461228 | − | 1.57080i | −0.781772 | − | 0.623565i | \(-0.785684\pi\) |
0.320544 | − | 0.947234i | \(-0.396134\pi\) | |||||||
\(54\) | −11.4695 | + | 1.09521i | −0.212399 | + | 0.0202816i | ||||
\(55\) | −6.63959 | − | 9.32400i | −0.120720 | − | 0.169527i | ||||
\(56\) | 3.74294 | + | 78.5740i | 0.0668382 | + | 1.40311i | ||||
\(57\) | 42.1685 | + | 14.5947i | 0.739799 | + | 0.256047i | ||||
\(58\) | 32.3019 | − | 4.64432i | 0.556930 | − | 0.0800744i | ||||
\(59\) | −44.6549 | − | 97.7806i | −0.756862 | − | 1.65730i | −0.753627 | − | 0.657303i | \(-0.771697\pi\) |
−0.00323573 | − | 0.999995i | \(-0.501030\pi\) | |||||||
\(60\) | −5.92510 | − | 2.37205i | −0.0987517 | − | 0.0395342i | ||||
\(61\) | −17.4287 | − | 0.830233i | −0.285717 | − | 0.0136104i | −0.0957657 | − | 0.995404i | \(-0.530530\pi\) |
−0.189951 | + | 0.981794i | \(0.560833\pi\) | |||||||
\(62\) | 30.5529 | − | 19.6351i | 0.492788 | − | 0.316696i | ||||
\(63\) | 33.5442 | + | 8.13773i | 0.532447 | + | 0.129170i | ||||
\(64\) | 28.4089 | − | 32.7857i | 0.443890 | − | 0.512276i | ||||
\(65\) | −69.3287 | + | 54.5207i | −1.06660 | + | 0.838780i | ||||
\(66\) | 10.9360i | 0.165697i | ||||||||
\(67\) | 66.9920 | − | 1.03847i | 0.999880 | − | 0.0154996i | ||||
\(68\) | −22.8362 | −0.335827 | ||||||||
\(69\) | −7.65092 | − | 9.72893i | −0.110883 | − | 0.140999i | ||||
\(70\) | 77.5060 | + | 67.1593i | 1.10723 | + | 0.959419i | ||||
\(71\) | −0.838592 | + | 3.45672i | −0.0118112 | + | 0.0486862i | −0.977412 | − | 0.211342i | \(-0.932217\pi\) |
0.965601 | + | 0.260028i | \(0.0837318\pi\) | |||||||
\(72\) | −11.0889 | − | 17.2546i | −0.154012 | − | 0.239647i | ||||
\(73\) | −1.86029 | + | 39.0523i | −0.0254834 | + | 0.534963i | 0.949646 | + | 0.313326i | \(0.101443\pi\) |
−0.975129 | + | 0.221638i | \(0.928860\pi\) | |||||||
\(74\) | 45.9084 | − | 114.674i | 0.620384 | − | 1.54964i | ||||
\(75\) | −13.9291 | + | 6.36122i | −0.185722 | + | 0.0848162i | ||||
\(76\) | −3.36087 | − | 23.3754i | −0.0442220 | − | 0.307571i | ||||
\(77\) | 10.7155 | − | 30.9605i | 0.139163 | − | 0.402085i | ||||
\(78\) | 84.1698 | − | 4.00950i | 1.07910 | − | 0.0514038i | ||||
\(79\) | 71.5470 | − | 50.9484i | 0.905658 | − | 0.644916i | −0.0293399 | − | 0.999569i | \(-0.509341\pi\) |
0.934998 | + | 0.354653i | \(0.115401\pi\) | |||||||
\(80\) | −7.19374 | − | 75.3362i | −0.0899217 | − | 0.941703i | ||||
\(81\) | −8.63544 | + | 2.53559i | −0.106610 | + | 0.0313036i | ||||
\(82\) | 2.30761 | − | 16.0498i | 0.0281416 | − | 0.195729i | ||||
\(83\) | −67.5359 | − | 34.8172i | −0.813685 | − | 0.419484i | 0.000563711 | − | 1.00000i | \(-0.499821\pi\) |
−0.814249 | + | 0.580516i | \(0.802851\pi\) | |||||||
\(84\) | −4.30675 | − | 17.7526i | −0.0512708 | − | 0.211341i | ||||
\(85\) | 69.1074 | − | 72.4778i | 0.813028 | − | 0.852680i | ||||
\(86\) | −33.4053 | + | 13.3734i | −0.388433 | + | 0.155505i | ||||
\(87\) | 24.0896 | − | 8.33749i | 0.276892 | − | 0.0958332i | ||||
\(88\) | −17.3038 | + | 8.92071i | −0.196634 | + | 0.101372i | ||||
\(89\) | 24.1690 | + | 27.8925i | 0.271562 | + | 0.313399i | 0.875107 | − | 0.483930i | \(-0.160791\pi\) |
−0.603545 | + | 0.797329i | \(0.706246\pi\) | |||||||
\(90\) | −26.2570 | − | 5.06061i | −0.291744 | − | 0.0562291i | ||||
\(91\) | −242.219 | − | 71.1220i | −2.66175 | − | 0.781560i | ||||
\(92\) | −2.72108 | + | 5.95833i | −0.0295770 | + | 0.0647645i | ||||
\(93\) | 20.5319 | − | 19.5772i | 0.220773 | − | 0.210507i | ||||
\(94\) | −69.4183 | + | 108.017i | −0.738492 | + | 1.14912i | ||||
\(95\) | 84.3598 | + | 60.0723i | 0.887998 | + | 0.632340i | ||||
\(96\) | −12.4684 | + | 21.5959i | −0.129879 | + | 0.224957i | ||||
\(97\) | −97.7815 | + | 56.4542i | −1.00806 | + | 0.582002i | −0.910622 | − | 0.413240i | \(-0.864397\pi\) |
−0.0974343 | + | 0.995242i | \(0.531064\pi\) | |||||||
\(98\) | −17.5746 | + | 184.049i | −0.179333 | + | 1.87806i | ||||
\(99\) | 1.61667 | + | 8.38810i | 0.0163300 | + | 0.0847283i | ||||
\(100\) | 6.37024 | + | 5.00961i | 0.0637024 | + | 0.0500961i | ||||
\(101\) | 52.1270 | − | 66.2848i | 0.516109 | − | 0.656285i | −0.456230 | − | 0.889862i | \(-0.650801\pi\) |
0.972338 | + | 0.233577i | \(0.0750429\pi\) | |||||||
\(102\) | −93.9492 | + | 18.1072i | −0.921070 | + | 0.177522i | ||||
\(103\) | 109.795 | + | 10.4842i | 1.06597 | + | 0.101788i | 0.613269 | − | 0.789874i | \(-0.289854\pi\) |
0.452702 | + | 0.891662i | \(0.350460\pi\) | |||||||
\(104\) | 75.0032 | + | 129.909i | 0.721184 | + | 1.24913i | ||||
\(105\) | 69.3767 | + | 40.0547i | 0.660730 | + | 0.381473i | ||||
\(106\) | −111.599 | + | 156.719i | −1.05282 | + | 1.47848i | ||||
\(107\) | 45.1152 | + | 28.9938i | 0.421638 | + | 0.270970i | 0.734208 | − | 0.678924i | \(-0.237554\pi\) |
−0.312570 | + | 0.949895i | \(0.601190\pi\) | |||||||
\(108\) | 3.28691 | + | 3.44721i | 0.0304343 | + | 0.0319186i | ||||
\(109\) | −95.6228 | − | 43.6695i | −0.877274 | − | 0.400637i | −0.0747109 | − | 0.997205i | \(-0.523803\pi\) |
−0.802563 | + | 0.596568i | \(0.796531\pi\) | |||||||
\(110\) | −7.15060 | + | 24.3527i | −0.0650055 | + | 0.221388i | ||||
\(111\) | 18.2603 | − | 94.7435i | 0.164507 | − | 0.853545i | ||||
\(112\) | 163.704 | − | 141.850i | 1.46164 | − | 1.26652i | ||||
\(113\) | 25.0772 | + | 48.6429i | 0.221922 | + | 0.430468i | 0.973343 | − | 0.229355i | \(-0.0736616\pi\) |
−0.751421 | + | 0.659823i | \(0.770631\pi\) | |||||||
\(114\) | −32.3615 | − | 93.5025i | −0.283873 | − | 0.820197i | ||||
\(115\) | −10.6760 | − | 26.6674i | −0.0928350 | − | 0.231891i | ||||
\(116\) | −9.76387 | − | 9.30984i | −0.0841713 | − | 0.0802572i | ||||
\(117\) | 63.9670 | − | 15.5182i | 0.546727 | − | 0.132634i | ||||
\(118\) | −109.220 | + | 211.857i | −0.925593 | + | 1.79540i | ||||
\(119\) | 283.719 | + | 40.7926i | 2.38419 | + | 0.342795i | ||||
\(120\) | −13.4111 | − | 45.6739i | −0.111759 | − | 0.380615i | ||||
\(121\) | −112.381 | + | 10.7310i | −0.928765 | + | 0.0886863i | ||||
\(122\) | 22.4421 | + | 31.5155i | 0.183952 | + | 0.258324i | ||||
\(123\) | −0.602671 | − | 12.6516i | −0.00489977 | − | 0.102859i | ||||
\(124\) | −14.1882 | − | 4.91060i | −0.114421 | − | 0.0396016i | ||||
\(125\) | −134.650 | + | 19.3598i | −1.07720 | + | 0.154878i | ||||
\(126\) | −31.7945 | − | 69.6203i | −0.252337 | − | 0.552542i | ||||
\(127\) | 127.929 | + | 51.2149i | 1.00731 | + | 0.403267i | 0.815869 | − | 0.578237i | \(-0.196259\pi\) |
0.191443 | + | 0.981504i | \(0.438683\pi\) | |||||||
\(128\) | −153.607 | − | 7.31722i | −1.20006 | − | 0.0571658i | ||||
\(129\) | −23.6454 | + | 15.1960i | −0.183298 | + | 0.117798i | ||||
\(130\) | 190.054 | + | 46.1067i | 1.46196 | + | 0.354667i | ||||
\(131\) | −99.5701 | + | 114.910i | −0.760077 | + | 0.877176i | −0.995504 | − | 0.0947161i | \(-0.969806\pi\) |
0.235427 | + | 0.971892i | \(0.424351\pi\) | |||||||
\(132\) | 3.55370 | − | 2.79466i | 0.0269220 | − | 0.0211717i | ||||
\(133\) | 296.421i | 2.22873i | ||||||||
\(134\) | −93.6343 | − | 115.341i | −0.698764 | − | 0.860752i | ||||
\(135\) | −20.8877 | −0.154724 | ||||||||
\(136\) | −105.287 | − | 133.883i | −0.774169 | − | 0.984436i | ||||
\(137\) | −168.669 | − | 146.153i | −1.23116 | − | 1.06681i | −0.995479 | − | 0.0949788i | \(-0.969722\pi\) |
−0.235683 | − | 0.971830i | \(-0.575733\pi\) | |||||||
\(138\) | −6.47018 | + | 26.6704i | −0.0468854 | + | 0.193264i | ||||
\(139\) | 44.6918 | + | 69.5419i | 0.321524 | + | 0.500301i | 0.963963 | − | 0.266035i | \(-0.0857138\pi\) |
−0.642439 | + | 0.766337i | \(0.722077\pi\) | |||||||
\(140\) | 2.01730 | − | 42.3484i | 0.0144093 | − | 0.302488i | ||||
\(141\) | −37.2769 | + | 93.1131i | −0.264375 | + | 0.660377i | ||||
\(142\) | 7.17436 | − | 3.27642i | 0.0505237 | − | 0.0230734i | ||||
\(143\) | −8.89130 | − | 61.8403i | −0.0621769 | − | 0.432450i | ||||
\(144\) | −18.4725 | + | 53.3728i | −0.128281 | + | 0.370644i | ||||
\(145\) | 59.0953 | − | 2.81506i | 0.407554 | − | 0.0194142i | ||||
\(146\) | 70.6164 | − | 50.2857i | 0.483674 | − | 0.344423i | ||||
\(147\) | 13.7281 | + | 143.767i | 0.0933886 | + | 0.978009i | ||||
\(148\) | −48.9956 | + | 14.3864i | −0.331051 | + | 0.0972055i | ||||
\(149\) | −3.88306 | + | 27.0073i | −0.0260608 | + | 0.181257i | −0.998694 | − | 0.0510886i | \(-0.983731\pi\) |
0.972633 | + | 0.232346i | \(0.0746400\pi\) | |||||||
\(150\) | 30.1797 | + | 15.5587i | 0.201198 | + | 0.103725i | ||||
\(151\) | −4.12439 | − | 17.0010i | −0.0273138 | − | 0.112589i | 0.956523 | − | 0.291658i | \(-0.0942068\pi\) |
−0.983837 | + | 0.179068i | \(0.942692\pi\) | |||||||
\(152\) | 121.549 | − | 127.477i | 0.799664 | − | 0.838664i | ||||
\(153\) | −69.3839 | + | 27.7771i | −0.453490 | + | 0.181550i | ||||
\(154\) | −68.6504 | + | 23.7602i | −0.445782 | + | 0.154287i | ||||
\(155\) | 58.5221 | − | 30.1702i | 0.377562 | − | 0.194647i | ||||
\(156\) | −22.8123 | − | 26.3268i | −0.146233 | − | 0.168761i | ||||
\(157\) | −136.564 | − | 26.3205i | −0.869834 | − | 0.167647i | −0.265242 | − | 0.964182i | \(-0.585452\pi\) |
−0.604592 | + | 0.796535i | \(0.706664\pi\) | |||||||
\(158\) | −186.869 | − | 54.8696i | −1.18271 | − | 0.347276i | ||||
\(159\) | −62.4306 | + | 136.704i | −0.392645 | + | 0.859773i | ||||
\(160\) | −41.8858 | + | 39.9381i | −0.261786 | + | 0.249613i | ||||
\(161\) | 44.4504 | − | 69.1661i | 0.276089 | − | 0.429603i | ||||
\(162\) | 16.2558 | + | 11.5757i | 0.100345 | + | 0.0714551i | ||||
\(163\) | 141.451 | − | 245.000i | 0.867795 | − | 1.50307i | 0.00355013 | − | 0.999994i | \(-0.498870\pi\) |
0.864245 | − | 0.503071i | \(-0.167797\pi\) | |||||||
\(164\) | −5.80517 | + | 3.35162i | −0.0353974 | + | 0.0204367i | ||||
\(165\) | −1.88456 | + | 19.7361i | −0.0114216 | + | 0.119612i | ||||
\(166\) | 31.8850 | + | 165.435i | 0.192078 | + | 0.996598i | ||||
\(167\) | 185.618 | + | 145.972i | 1.11149 | + | 0.874083i | 0.992911 | − | 0.118862i | \(-0.0379247\pi\) |
0.118576 | + | 0.992945i | \(0.462167\pi\) | |||||||
\(168\) | 84.2232 | − | 107.098i | 0.501328 | − | 0.637491i | ||||
\(169\) | −306.754 | + | 59.1220i | −1.81511 | + | 0.349834i | ||||
\(170\) | −221.050 | − | 21.1077i | −1.30029 | − | 0.124163i | ||||
\(171\) | −38.6444 | − | 66.9341i | −0.225991 | − | 0.391427i | ||||
\(172\) | 12.8824 | + | 7.43766i | 0.0748977 | + | 0.0432422i | ||||
\(173\) | 163.338 | − | 229.376i | 0.944149 | − | 1.32587i | −0.00126507 | − | 0.999999i | \(-0.500403\pi\) |
0.945414 | − | 0.325872i | \(-0.105658\pi\) | |||||||
\(174\) | −47.5509 | − | 30.5591i | −0.273281 | − | 0.175627i | ||||
\(175\) | −70.1956 | − | 73.6191i | −0.401118 | − | 0.420680i | ||||
\(176\) | 48.7635 | + | 22.2695i | 0.277065 | + | 0.126531i | ||||
\(177\) | −52.4547 | + | 178.644i | −0.296354 | + | 1.00929i | ||||
\(178\) | 15.4876 | − | 80.3571i | 0.0870088 | − | 0.451445i | ||||
\(179\) | 5.49234 | − | 4.75914i | 0.0306835 | − | 0.0265874i | −0.639384 | − | 0.768888i | \(-0.720811\pi\) |
0.670068 | + | 0.742300i | \(0.266265\pi\) | |||||||
\(180\) | 5.06543 | + | 9.82556i | 0.0281413 | + | 0.0545865i | ||||
\(181\) | 54.9614 | + | 158.800i | 0.303654 | + | 0.877351i | 0.988840 | + | 0.148982i | \(0.0475997\pi\) |
−0.685186 | + | 0.728368i | \(0.740279\pi\) | |||||||
\(182\) | 208.042 | + | 519.663i | 1.14309 | + | 2.85529i | ||||
\(183\) | 21.8725 | + | 20.8554i | 0.119522 | + | 0.113964i | ||||
\(184\) | −47.4779 | + | 11.5180i | −0.258032 | + | 0.0625979i | ||||
\(185\) | 102.612 | − | 199.039i | 0.554659 | − | 1.07589i | ||||
\(186\) | −62.2648 | − | 8.95232i | −0.334757 | − | 0.0481308i | ||||
\(187\) | 19.9856 | + | 68.0646i | 0.106875 | + | 0.363982i | ||||
\(188\) | 52.8403 | − | 5.04564i | 0.281066 | − | 0.0268385i | ||||
\(189\) | −34.6790 | − | 48.6998i | −0.183487 | − | 0.257671i | ||||
\(190\) | −10.9265 | − | 229.375i | −0.0575078 | − | 1.20724i | ||||
\(191\) | 23.8956 | + | 8.27033i | 0.125108 | + | 0.0433002i | 0.388904 | − | 0.921278i | \(-0.372854\pi\) |
−0.263797 | + | 0.964578i | \(0.584975\pi\) | |||||||
\(192\) | −74.3744 | + | 10.6934i | −0.387367 | + | 0.0556949i | ||||
\(193\) | −42.3422 | − | 92.7165i | −0.219390 | − | 0.480397i | 0.767651 | − | 0.640869i | \(-0.221426\pi\) |
−0.987040 | + | 0.160472i | \(0.948698\pi\) | |||||||
\(194\) | 232.424 | + | 93.0485i | 1.19806 | + | 0.479632i | ||||
\(195\) | 152.591 | + | 7.26882i | 0.782519 | + | 0.0372760i | ||||
\(196\) | 64.2990 | − | 41.3224i | 0.328056 | − | 0.210829i | ||||
\(197\) | −99.2373 | − | 24.0747i | −0.503743 | − | 0.122207i | −0.0241683 | − | 0.999708i | \(-0.507694\pi\) |
−0.479574 | + | 0.877501i | \(0.659209\pi\) | |||||||
\(198\) | 12.4042 | − | 14.3152i | 0.0626473 | − | 0.0722988i | ||||
\(199\) | 204.475 | − | 160.801i | 1.02751 | − | 0.808043i | 0.0459016 | − | 0.998946i | \(-0.485384\pi\) |
0.981609 | + | 0.190903i | \(0.0611415\pi\) | |||||||
\(200\) | 60.4441i | 0.302221i | ||||||||
\(201\) | −88.8701 | − | 74.6264i | −0.442140 | − | 0.371276i | ||||
\(202\) | −186.981 | −0.925648 | ||||||||
\(203\) | 104.677 | + | 133.107i | 0.515650 | + | 0.655702i | ||||
\(204\) | 29.8925 | + | 25.9020i | 0.146532 | + | 0.126971i | ||||
\(205\) | 6.93034 | − | 28.5672i | 0.0338065 | − | 0.139352i | ||||
\(206\) | −132.220 | − | 205.739i | −0.641845 | − | 0.998731i | ||||
\(207\) | −1.02004 | + | 21.4132i | −0.00492771 | + | 0.103445i | ||||
\(208\) | 153.521 | − | 383.477i | 0.738082 | − | 1.84364i | ||||
\(209\) | −66.7304 | + | 30.4747i | −0.319284 | + | 0.145812i | ||||
\(210\) | −25.2795 | − | 175.823i | −0.120378 | − | 0.837251i | ||||
\(211\) | 77.9358 | − | 225.181i | 0.369364 | − | 1.06721i | −0.595250 | − | 0.803540i | \(-0.702947\pi\) |
0.964614 | − | 0.263666i | \(-0.0849318\pi\) | |||||||
\(212\) | 79.4454 | − | 3.78445i | 0.374742 | − | 0.0178512i | ||||
\(213\) | 5.01851 | − | 3.57366i | 0.0235611 | − | 0.0167778i | ||||
\(214\) | −11.3034 | − | 118.375i | −0.0528199 | − | 0.553155i | ||||
\(215\) | −62.5907 | + | 18.3783i | −0.291120 | + | 0.0854804i | ||||
\(216\) | −5.05579 | + | 35.1638i | −0.0234064 | + | 0.162795i | ||||
\(217\) | 167.504 | + | 86.3544i | 0.771908 | + | 0.397946i | ||||
\(218\) | 54.9540 | + | 226.523i | 0.252082 | + | 1.03910i | ||||
\(219\) | 46.7303 | − | 49.0093i | 0.213380 | − | 0.223787i | ||||
\(220\) | 9.74086 | − | 3.89965i | 0.0442766 | − | 0.0177257i | ||||
\(221\) | 516.538 | − | 178.776i | 2.33728 | − | 0.808939i | ||||
\(222\) | −190.163 | + | 98.0358i | −0.856590 | + | 0.441603i | ||||
\(223\) | −163.751 | − | 188.978i | −0.734309 | − | 0.847437i | 0.258641 | − | 0.965973i | \(-0.416725\pi\) |
−0.992950 | + | 0.118536i | \(0.962180\pi\) | |||||||
\(224\) | −162.657 | − | 31.3496i | −0.726149 | − | 0.139954i | ||||
\(225\) | 25.4484 | + | 7.47232i | 0.113104 | + | 0.0332103i | ||||
\(226\) | 50.4098 | − | 110.382i | 0.223052 | − | 0.488416i | ||||
\(227\) | −12.2796 | + | 11.7085i | −0.0540950 | + | 0.0515794i | −0.716644 | − | 0.697439i | \(-0.754323\pi\) |
0.662549 | + | 0.749018i | \(0.269474\pi\) | |||||||
\(228\) | −22.1142 | + | 34.4104i | −0.0969922 | + | 0.150923i | ||||
\(229\) | −250.745 | − | 178.555i | −1.09496 | − | 0.779715i | −0.117970 | − | 0.993017i | \(-0.537639\pi\) |
−0.976986 | + | 0.213303i | \(0.931578\pi\) | |||||||
\(230\) | −31.8468 | + | 55.1603i | −0.138464 | + | 0.239827i | ||||
\(231\) | −49.1437 | + | 28.3731i | −0.212743 | + | 0.122827i | ||||
\(232\) | 9.56474 | − | 100.167i | 0.0412273 | − | 0.431752i | ||||
\(233\) | 0.749818 | + | 3.89042i | 0.00321810 | + | 0.0166971i | 0.983502 | − | 0.180896i | \(-0.0578997\pi\) |
−0.980284 | + | 0.197593i | \(0.936688\pi\) | |||||||
\(234\) | −114.726 | − | 90.2213i | −0.490281 | − | 0.385561i | ||||
\(235\) | −143.893 | + | 182.974i | −0.612309 | + | 0.778614i | ||||
\(236\) | 96.7550 | − | 18.6480i | 0.409979 | − | 0.0790169i | ||||
\(237\) | −151.443 | − | 14.4611i | −0.639000 | − | 0.0610171i | ||||
\(238\) | −317.787 | − | 550.424i | −1.33524 | − | 2.31270i | ||||
\(239\) | −221.527 | − | 127.899i | −0.926892 | − | 0.535141i | −0.0410647 | − | 0.999156i | \(-0.513075\pi\) |
−0.885827 | + | 0.464015i | \(0.846408\pi\) | |||||||
\(240\) | −76.0337 | + | 106.774i | −0.316807 | + | 0.444893i | ||||
\(241\) | 276.474 | + | 177.679i | 1.14719 | + | 0.737257i | 0.969078 | − | 0.246753i | \(-0.0793637\pi\) |
0.178115 | + | 0.984010i | \(0.443000\pi\) | |||||||
\(242\) | 172.741 | + | 181.166i | 0.713807 | + | 0.748619i | ||||
\(243\) | 14.1798 | + | 6.47568i | 0.0583529 | + | 0.0266489i | ||||
\(244\) | 4.50611 | − | 15.3464i | 0.0184677 | − | 0.0628951i | ||||
\(245\) | −63.4334 | + | 329.124i | −0.258912 | + | 1.34336i | ||||
\(246\) | −21.2252 | + | 18.3917i | −0.0862812 | + | 0.0747631i | ||||
\(247\) | 259.017 | + | 502.423i | 1.04865 | + | 2.03410i | ||||
\(248\) | −36.6256 | − | 105.823i | −0.147684 | − | 0.426705i | ||||
\(249\) | 48.9128 | + | 122.178i | 0.196437 | + | 0.490676i | ||||
\(250\) | 218.305 | + | 208.154i | 0.873221 | + | 0.832615i | ||||
\(251\) | −303.365 | + | 73.5955i | −1.20862 | + | 0.293209i | −0.788945 | − | 0.614463i | \(-0.789373\pi\) |
−0.419679 | + | 0.907672i | \(0.637857\pi\) | |||||||
\(252\) | −14.4985 | + | 28.1231i | −0.0575336 | + | 0.111600i | ||||
\(253\) | 20.1406 | + | 2.89578i | 0.0796070 | + | 0.0114458i | ||||
\(254\) | −86.0835 | − | 293.173i | −0.338911 | − | 1.15423i | ||||
\(255\) | −172.669 | + | 16.4879i | −0.677135 | + | 0.0646586i | ||||
\(256\) | 97.1371 | + | 136.410i | 0.379442 | + | 0.532851i | ||||
\(257\) | −5.19652 | − | 109.088i | −0.0202199 | − | 0.424468i | −0.986170 | − | 0.165739i | \(-0.946999\pi\) |
0.965950 | − | 0.258729i | \(-0.0833038\pi\) | |||||||
\(258\) | 58.8962 | + | 20.3842i | 0.228280 | + | 0.0790085i | ||||
\(259\) | 634.424 | − | 91.2164i | 2.44951 | − | 0.352187i | ||||
\(260\) | −33.5853 | − | 73.5416i | −0.129174 | − | 0.282852i | ||||
\(261\) | −40.9900 | − | 16.4099i | −0.157050 | − | 0.0628733i | ||||
\(262\) | 336.762 | + | 16.0419i | 1.28535 | + | 0.0612288i | ||||
\(263\) | 387.485 | − | 249.022i | 1.47333 | − | 0.946850i | 0.475587 | − | 0.879669i | \(-0.342236\pi\) |
0.997741 | − | 0.0671811i | \(-0.0214005\pi\) | |||||||
\(264\) | 32.7689 | + | 7.94965i | 0.124125 | + | 0.0301123i | ||||
\(265\) | −228.408 | + | 263.597i | −0.861918 | + | 0.994706i | ||||
\(266\) | 516.650 | − | 406.298i | 1.94229 | − | 1.52744i | ||||
\(267\) | − | 63.9249i | − | 0.239419i | ||||||
\(268\) | −13.5525 | + | 59.9020i | −0.0505692 | + | 0.223515i | ||||
\(269\) | 217.786 | 0.809612 | 0.404806 | − | 0.914403i | \(-0.367339\pi\) | ||||
0.404806 | + | 0.914403i | \(0.367339\pi\) | |||||||
\(270\) | 28.6303 | + | 36.4063i | 0.106038 | + | 0.134838i | ||||
\(271\) | −371.736 | − | 322.111i | −1.37172 | − | 1.18860i | −0.960904 | − | 0.276882i | \(-0.910699\pi\) |
−0.410815 | − | 0.911719i | \(-0.634756\pi\) | |||||||
\(272\) | −110.574 | + | 455.791i | −0.406521 | + | 1.67570i | ||||
\(273\) | 236.394 | + | 367.836i | 0.865912 | + | 1.34738i | ||||
\(274\) | −23.5470 | + | 494.312i | −0.0859378 | + | 1.80406i | ||||
\(275\) | 9.35639 | − | 23.3711i | 0.0340232 | − | 0.0849859i | ||||
\(276\) | 10.3201 | − | 4.71305i | 0.0373918 | − | 0.0170763i | ||||
\(277\) | 54.9552 | + | 382.222i | 0.198394 | + | 1.37986i | 0.808945 | + | 0.587885i | \(0.200039\pi\) |
−0.610551 | + | 0.791977i | \(0.709052\pi\) | |||||||
\(278\) | 59.9504 | − | 173.215i | 0.215649 | − | 0.623077i | ||||
\(279\) | −49.0817 | + | 2.33805i | −0.175920 | + | 0.00838010i | ||||
\(280\) | 257.579 | − | 183.421i | 0.919926 | − | 0.655076i | ||||
\(281\) | 19.9846 | + | 209.288i | 0.0711194 | + | 0.744796i | 0.958752 | + | 0.284244i | \(0.0917426\pi\) |
−0.887633 | + | 0.460552i | \(0.847651\pi\) | |||||||
\(282\) | 213.387 | − | 62.6560i | 0.756690 | − | 0.222184i | ||||
\(283\) | 17.1004 | − | 118.936i | 0.0604256 | − | 0.420269i | −0.937046 | − | 0.349205i | \(-0.886452\pi\) |
0.997472 | − | 0.0710636i | \(-0.0226393\pi\) | |||||||
\(284\) | −2.89808 | − | 1.49406i | −0.0102045 | − | 0.00526079i | ||||
\(285\) | −42.2895 | − | 174.320i | −0.148384 | − | 0.611648i | ||||
\(286\) | −95.5980 | + | 100.260i | −0.334259 | + | 0.350560i | ||||
\(287\) | 78.1110 | − | 31.2709i | 0.272164 | − | 0.108958i | ||||
\(288\) | 40.8163 | − | 14.1266i | 0.141723 | − | 0.0490509i | ||||
\(289\) | −294.767 | + | 151.963i | −1.01996 | + | 0.525824i | ||||
\(290\) | −85.9071 | − | 99.1420i | −0.296231 | − | 0.341869i | ||||
\(291\) | 192.029 | + | 37.0105i | 0.659893 | + | 0.127184i | ||||
\(292\) | −34.3865 | − | 10.0968i | −0.117762 | − | 0.0345780i | ||||
\(293\) | −220.267 | + | 482.318i | −0.751765 | + | 1.64613i | 0.0114035 | + | 0.999935i | \(0.496370\pi\) |
−0.763168 | + | 0.646200i | \(0.776357\pi\) | |||||||
\(294\) | 231.764 | − | 220.986i | 0.788312 | − | 0.751654i | ||||
\(295\) | −233.617 | + | 363.515i | −0.791921 | + | 1.23225i | ||||
\(296\) | −310.240 | − | 220.921i | −1.04811 | − | 0.746354i | ||||
\(297\) | 7.39800 | − | 12.8137i | 0.0249091 | − | 0.0431438i | ||||
\(298\) | 52.3950 | − | 30.2503i | 0.175822 | − | 0.101511i | ||||
\(299\) | 14.9034 | − | 156.075i | 0.0498441 | − | 0.521991i | ||||
\(300\) | −2.65646 | − | 13.7830i | −0.00885487 | − | 0.0459434i | ||||
\(301\) | −146.766 | − | 115.418i | −0.487595 | − | 0.383449i | ||||
\(302\) | −23.9787 | + | 30.4914i | −0.0793998 | + | 0.100965i | ||||
\(303\) | −143.418 | + | 27.6415i | −0.473326 | + | 0.0912261i | ||||
\(304\) | −482.826 | − | 46.1043i | −1.58824 | − | 0.151659i | ||||
\(305\) | 35.0701 | + | 60.7431i | 0.114984 | + | 0.199158i | ||||
\(306\) | 143.517 | + | 82.8598i | 0.469011 | + | 0.270784i | ||||
\(307\) | 124.089 | − | 174.258i | 0.404198 | − | 0.567617i | −0.561437 | − | 0.827520i | \(-0.689751\pi\) |
0.965635 | + | 0.259903i | \(0.0836905\pi\) | |||||||
\(308\) | 25.2644 | + | 16.2365i | 0.0820274 | + | 0.0527158i | ||||
\(309\) | −131.830 | − | 138.259i | −0.426633 | − | 0.447440i | ||||
\(310\) | −132.800 | − | 60.6479i | −0.428388 | − | 0.195638i | ||||
\(311\) | 38.5960 | − | 131.446i | 0.124103 | − | 0.422655i | −0.873880 | − | 0.486142i | \(-0.838404\pi\) |
0.997983 | + | 0.0634865i | \(0.0202220\pi\) | |||||||
\(312\) | 49.1710 | − | 255.123i | 0.157599 | − | 0.817703i | ||||
\(313\) | −67.3945 | + | 58.3976i | −0.215318 | + | 0.186574i | −0.755841 | − | 0.654755i | \(-0.772772\pi\) |
0.540523 | + | 0.841329i | \(0.318226\pi\) | |||||||
\(314\) | 141.309 | + | 274.102i | 0.450030 | + | 0.872937i | ||||
\(315\) | −45.3818 | − | 131.122i | −0.144069 | − | 0.416260i | ||||
\(316\) | 29.9237 | + | 74.7457i | 0.0946952 | + | 0.236537i | ||||
\(317\) | 63.2246 | + | 60.2845i | 0.199447 | + | 0.190172i | 0.783220 | − | 0.621745i | \(-0.213576\pi\) |
−0.583773 | + | 0.811917i | \(0.698424\pi\) | |||||||
\(318\) | 323.841 | − | 78.5630i | 1.01837 | − | 0.247054i | ||||
\(319\) | −19.2034 | + | 37.2495i | −0.0601989 | + | 0.116770i | ||||
\(320\) | −172.612 | − | 24.8179i | −0.539413 | − | 0.0775559i | ||||
\(321\) | −26.1694 | − | 89.1248i | −0.0815247 | − | 0.277647i | ||||
\(322\) | −181.481 | + | 17.3293i | −0.563605 | + | 0.0538177i | ||||
\(323\) | −372.292 | − | 522.811i | −1.15261 | − | 1.61861i | ||||
\(324\) | −0.392546 | − | 8.24056i | −0.00121156 | − | 0.0254338i | ||||
\(325\) | −183.308 | − | 63.4436i | −0.564026 | − | 0.195211i | ||||
\(326\) | −620.907 | + | 89.2729i | −1.90462 | + | 0.273843i | ||||
\(327\) | 75.6378 | + | 165.624i | 0.231308 | + | 0.506494i | ||||
\(328\) | −46.4146 | − | 18.5816i | −0.141508 | − | 0.0566513i | ||||
\(329\) | −665.506 | − | 31.7019i | −2.02281 | − | 0.0963585i | ||||
\(330\) | 36.9822 | − | 23.7670i | 0.112067 | − | 0.0720213i | ||||
\(331\) | 576.695 | + | 139.905i | 1.74228 | + | 0.422672i | 0.975635 | − | 0.219399i | \(-0.0704098\pi\) |
0.766644 | + | 0.642072i | \(0.221925\pi\) | |||||||
\(332\) | 45.6109 | − | 52.6378i | 0.137382 | − | 0.158548i | ||||
\(333\) | −131.366 | + | 103.307i | −0.394492 | + | 0.310232i | ||||
\(334\) | − | 523.605i | − | 1.56768i | ||||||
\(335\) | −149.105 | − | 224.290i | −0.445088 | − | 0.669522i | ||||
\(336\) | −375.181 | −1.11661 | ||||||||
\(337\) | 112.781 | + | 143.413i | 0.334662 | + | 0.425558i | 0.924038 | − | 0.382302i | \(-0.124868\pi\) |
−0.589375 | + | 0.807859i | \(0.700626\pi\) | |||||||
\(338\) | 523.508 | + | 453.622i | 1.54884 | + | 1.34208i | ||||
\(339\) | 22.3474 | − | 92.1172i | 0.0659215 | − | 0.271732i | ||||
\(340\) | 49.6297 | + | 77.2252i | 0.145970 | + | 0.227133i | ||||
\(341\) | −2.21919 | + | 46.5865i | −0.00650789 | + | 0.136617i | ||||
\(342\) | −63.6943 | + | 159.101i | −0.186241 | + | 0.465206i | ||||
\(343\) | −359.838 | + | 164.332i | −1.04909 | + | 0.479103i | ||||
\(344\) | 15.7894 | + | 109.818i | 0.0458995 | + | 0.319238i | ||||
\(345\) | −16.2727 | + | 47.0169i | −0.0471672 | + | 0.136281i | ||||
\(346\) | −623.675 | + | 29.7093i | −1.80253 | + | 0.0858651i | ||||
\(347\) | 315.141 | − | 224.411i | 0.908186 | − | 0.646716i | −0.0274727 | − | 0.999623i | \(-0.508746\pi\) |
0.935659 | + | 0.352906i | \(0.114807\pi\) | |||||||
\(348\) | 2.22118 | + | 23.2612i | 0.00638270 | + | 0.0668426i | ||||
\(349\) | 324.140 | − | 95.1762i | 0.928769 | − | 0.272711i | 0.217848 | − | 0.975983i | \(-0.430096\pi\) |
0.710921 | + | 0.703271i | \(0.248278\pi\) | |||||||
\(350\) | −32.0994 | + | 223.256i | −0.0917125 | + | 0.637874i | ||||
\(351\) | −101.334 | − | 52.2414i | −0.288701 | − | 0.148836i | ||||
\(352\) | −9.66519 | − | 39.8404i | −0.0274579 | − | 0.113183i | ||||
\(353\) | 151.607 | − | 159.001i | 0.429483 | − | 0.450429i | −0.473059 | − | 0.881031i | \(-0.656850\pi\) |
0.902542 | + | 0.430602i | \(0.141699\pi\) | |||||||
\(354\) | 383.268 | − | 153.437i | 1.08268 | − | 0.433439i | ||||
\(355\) | 13.5121 | − | 4.67658i | 0.0380623 | − | 0.0131735i | ||||
\(356\) | −30.0703 | + | 15.5023i | −0.0844671 | + | 0.0435458i | ||||
\(357\) | −325.118 | − | 375.206i | −0.910695 | − | 1.05100i | ||||
\(358\) | −15.8232 | − | 3.04967i | −0.0441989 | − | 0.00851864i | ||||
\(359\) | −151.535 | − | 44.4947i | −0.422103 | − | 0.123941i | 0.0637809 | − | 0.997964i | \(-0.479684\pi\) |
−0.485884 | + | 0.874023i | \(0.661502\pi\) | |||||||
\(360\) | −34.2506 | + | 74.9984i | −0.0951407 | + | 0.208329i | ||||
\(361\) | 219.096 | − | 208.907i | 0.606913 | − | 0.578690i | ||||
\(362\) | 201.448 | − | 313.459i | 0.556487 | − | 0.865910i | ||||
\(363\) | 159.278 | + | 113.421i | 0.438781 | + | 0.312455i | ||||
\(364\) | 115.703 | − | 200.403i | 0.317864 | − | 0.550557i | ||||
\(365\) | 136.106 | − | 78.5810i | 0.372894 | − | 0.215290i | ||||
\(366\) | 6.36991 | − | 66.7087i | 0.0174041 | − | 0.182264i | ||||
\(367\) | 105.825 | + | 549.070i | 0.288350 | + | 1.49610i | 0.780259 | + | 0.625456i | \(0.215087\pi\) |
−0.491909 | + | 0.870647i | \(0.663701\pi\) | |||||||
\(368\) | 105.748 | + | 83.1609i | 0.287358 | + | 0.225981i | ||||
\(369\) | −13.5612 | + | 17.2445i | −0.0367513 | + | 0.0467331i | ||||
\(370\) | −487.564 | + | 93.9704i | −1.31774 | + | 0.253974i | ||||
\(371\) | −993.796 | − | 94.8961i | −2.67870 | − | 0.255785i | ||||
\(372\) | 13.0025 | + | 22.5210i | 0.0349530 | + | 0.0605404i | ||||
\(373\) | 82.7574 | + | 47.7800i | 0.221870 | + | 0.128096i | 0.606816 | − | 0.794843i | \(-0.292447\pi\) |
−0.384946 | + | 0.922939i | \(0.625780\pi\) | |||||||
\(374\) | 91.2400 | − | 128.129i | 0.243957 | − | 0.342590i | ||||
\(375\) | 198.216 | + | 127.385i | 0.528575 | + | 0.339695i | ||||
\(376\) | 273.203 | + | 286.527i | 0.726604 | + | 0.762040i | ||||
\(377\) | 293.735 | + | 134.144i | 0.779137 | + | 0.355820i | ||||
\(378\) | −37.3480 | + | 127.196i | −0.0988043 | + | 0.336497i | ||||
\(379\) | −40.7200 | + | 211.275i | −0.107441 | + | 0.557454i | 0.887818 | + | 0.460194i | \(0.152220\pi\) |
−0.995259 | + | 0.0972605i | \(0.968992\pi\) | |||||||
\(380\) | −71.7445 | + | 62.1669i | −0.188801 | + | 0.163597i | ||||
\(381\) | −109.368 | − | 212.143i | −0.287054 | − | 0.556807i | ||||
\(382\) | −18.3383 | − | 52.9849i | −0.0480059 | − | 0.138704i | ||||
\(383\) | 215.289 | + | 537.765i | 0.562111 | + | 1.40409i | 0.888512 | + | 0.458854i | \(0.151740\pi\) |
−0.326401 | + | 0.945232i | \(0.605836\pi\) | |||||||
\(384\) | 192.772 | + | 183.808i | 0.502010 | + | 0.478666i | ||||
\(385\) | −127.987 | + | 31.0494i | −0.332434 | + | 0.0806477i | ||||
\(386\) | −103.563 | + | 200.885i | −0.268299 | + | 0.520428i | ||||
\(387\) | 48.1879 | + | 6.92837i | 0.124516 | + | 0.0179028i | ||||
\(388\) | −29.1588 | − | 99.3057i | −0.0751515 | − | 0.255943i | ||||
\(389\) | 482.323 | − | 46.0563i | 1.23990 | − | 0.118397i | 0.545580 | − | 0.838059i | \(-0.316309\pi\) |
0.694325 | + | 0.719662i | \(0.255703\pi\) | |||||||
\(390\) | −196.484 | − | 275.923i | −0.503805 | − | 0.707495i | ||||
\(391\) | 8.47056 | + | 177.819i | 0.0216638 | + | 0.454780i | ||||
\(392\) | 538.716 | + | 186.451i | 1.37428 | + | 0.475641i | ||||
\(393\) | 260.674 | − | 37.4793i | 0.663292 | − | 0.0953671i | ||||
\(394\) | 94.0611 | + | 205.965i | 0.238734 | + | 0.522754i | ||||
\(395\) | −327.784 | − | 131.225i | −0.829834 | − | 0.332215i | ||||
\(396\) | −7.82164 | − | 0.372591i | −0.0197516 | − | 0.000940886i | ||||
\(397\) | −14.8530 | + | 9.54543i | −0.0374130 | + | 0.0240439i | −0.559214 | − | 0.829024i | \(-0.688897\pi\) |
0.521801 | + | 0.853067i | \(0.325260\pi\) | |||||||
\(398\) | −560.537 | − | 135.985i | −1.40838 | − | 0.341671i | ||||
\(399\) | 336.217 | − | 388.015i | 0.842648 | − | 0.972468i | ||||
\(400\) | 130.833 | − | 102.888i | 0.327081 | − | 0.257220i | ||||
\(401\) | 183.598i | 0.457851i | 0.973444 | + | 0.228925i | \(0.0735212\pi\) | ||||
−0.973444 | + | 0.228925i | \(0.926479\pi\) | |||||||
\(402\) | −8.25841 | + | 257.186i | −0.0205433 | + | 0.639765i | ||||
\(403\) | 359.371 | 0.891739 | ||||||||
\(404\) | 47.7825 | + | 60.7604i | 0.118274 | + | 0.150397i | ||||
\(405\) | 27.3419 | + | 23.6919i | 0.0675109 | + | 0.0584985i | ||||
\(406\) | 88.5225 | − | 364.895i | 0.218036 | − | 0.898756i | ||||
\(407\) | 85.7590 | + | 133.444i | 0.210710 | + | 0.327871i | ||||
\(408\) | −14.0371 | + | 294.675i | −0.0344046 | + | 0.722242i | ||||
\(409\) | −47.7053 | + | 119.162i | −0.116639 | + | 0.291350i | −0.975187 | − | 0.221383i | \(-0.928943\pi\) |
0.858548 | + | 0.512733i | \(0.171367\pi\) | |||||||
\(410\) | −59.2907 | + | 27.0772i | −0.144612 | + | 0.0660419i | ||||
\(411\) | 55.0135 | + | 382.627i | 0.133853 | + | 0.930966i | ||||
\(412\) | −33.0673 | + | 95.5416i | −0.0802604 | + | 0.231897i | ||||
\(413\) | −1235.40 | + | 58.8495i | −2.99129 | + | 0.142493i | ||||
\(414\) | 38.7205 | − | 27.5727i | 0.0935277 | − | 0.0666007i | ||||
\(415\) | 29.0336 | + | 304.054i | 0.0699605 | + | 0.732660i | ||||
\(416\) | −303.092 | + | 88.9958i | −0.728586 | + | 0.213932i | ||||
\(417\) | 20.3765 | − | 141.722i | 0.0488646 | − | 0.339861i | ||||
\(418\) | 144.582 | + | 74.5372i | 0.345890 | + | 0.178319i | ||||
\(419\) | −100.199 | − | 413.026i | −0.239138 | − | 0.985742i | −0.957123 | − | 0.289683i | \(-0.906450\pi\) |
0.717984 | − | 0.696059i | \(-0.245065\pi\) | |||||||
\(420\) | −50.6744 | + | 53.1457i | −0.120653 | + | 0.126537i | ||||
\(421\) | −81.6434 | + | 32.6851i | −0.193927 | + | 0.0776368i | −0.466593 | − | 0.884472i | \(-0.654519\pi\) |
0.272666 | + | 0.962109i | \(0.412095\pi\) | |||||||
\(422\) | −499.305 | + | 172.811i | −1.18319 | + | 0.409505i | ||||
\(423\) | 154.409 | − | 79.6034i | 0.365033 | − | 0.188188i | ||||
\(424\) | 388.472 | + | 448.321i | 0.916209 | + | 1.05736i | ||||
\(425\) | 216.269 | + | 41.6825i | 0.508869 | + | 0.0980764i | ||||
\(426\) | −13.1075 | − | 3.84871i | −0.0307688 | − | 0.00903453i | ||||
\(427\) | −83.3977 | + | 182.616i | −0.195311 | + | 0.427671i | ||||
\(428\) | −35.5780 | + | 33.9236i | −0.0831262 | + | 0.0792607i | ||||
\(429\) | −58.5039 | + | 91.0338i | −0.136373 | + | 0.212200i | ||||
\(430\) | 117.824 | + | 83.9022i | 0.274010 | + | 0.195122i | ||||
\(431\) | 47.4865 | − | 82.2490i | 0.110177 | − | 0.190833i | −0.805664 | − | 0.592372i | \(-0.798191\pi\) |
0.915842 | + | 0.401539i | \(0.131525\pi\) | |||||||
\(432\) | 84.7186 | − | 48.9123i | 0.196108 | − | 0.113223i | ||||
\(433\) | 39.5884 | − | 414.589i | 0.0914282 | − | 0.957479i | −0.827082 | − | 0.562082i | \(-0.810001\pi\) |
0.918510 | − | 0.395398i | \(-0.129393\pi\) | |||||||
\(434\) | −79.0820 | − | 410.316i | −0.182217 | − | 0.945430i | ||||
\(435\) | −80.5485 | − | 63.3440i | −0.185169 | − | 0.145619i | ||||
\(436\) | 59.5666 | − | 75.7450i | 0.136621 | − | 0.173727i | ||||
\(437\) | −180.771 | + | 34.8407i | −0.413663 | + | 0.0797270i | ||||
\(438\) | −149.473 | − | 14.2730i | −0.341263 | − | 0.0325867i | ||||
\(439\) | 24.8929 | + | 43.1158i | 0.0567037 | + | 0.0982136i | 0.892984 | − | 0.450089i | \(-0.148608\pi\) |
−0.836280 | + | 0.548302i | \(0.815274\pi\) | |||||||
\(440\) | 67.7732 | + | 39.1289i | 0.154030 | + | 0.0889293i | ||||
\(441\) | 145.098 | − | 203.762i | 0.329021 | − | 0.462046i | ||||
\(442\) | −1019.61 | − | 655.261i | −2.30680 | − | 1.48249i | ||||
\(443\) | −248.173 | − | 260.277i | −0.560211 | − | 0.587532i | 0.381327 | − | 0.924440i | \(-0.375467\pi\) |
−0.941537 | + | 0.336908i | \(0.890619\pi\) | |||||||
\(444\) | 80.4529 | + | 36.7416i | 0.181200 | + | 0.0827514i | ||||
\(445\) | 41.7979 | − | 142.351i | 0.0939280 | − | 0.319889i | ||||
\(446\) | −104.932 | + | 544.439i | −0.235274 | + | 1.22072i | ||||
\(447\) | 35.7160 | − | 30.9481i | 0.0799015 | − | 0.0692351i | ||||
\(448\) | −228.718 | − | 443.651i | −0.510531 | − | 0.990292i | ||||
\(449\) | −25.1024 | − | 72.5287i | −0.0559074 | − | 0.161534i | 0.913589 | − | 0.406638i | \(-0.133299\pi\) |
−0.969497 | + | 0.245104i | \(0.921178\pi\) | |||||||
\(450\) | −21.8576 | − | 54.5976i | −0.0485724 | − | 0.121328i | ||||
\(451\) | 15.0702 | + | 14.3694i | 0.0334151 | + | 0.0318612i | ||||
\(452\) | −48.7513 | + | 11.8269i | −0.107857 | + | 0.0261658i | ||||
\(453\) | −13.8846 | + | 26.9323i | −0.0306502 | + | 0.0594532i | ||||
\(454\) | 37.2388 | + | 5.35413i | 0.0820238 | + | 0.0117932i | ||||
\(455\) | 285.899 | + | 973.681i | 0.628349 | + | 2.13996i | ||||
\(456\) | −303.698 | + | 28.9996i | −0.666005 | + | 0.0635957i | ||||
\(457\) | 28.5520 | + | 40.0956i | 0.0624770 | + | 0.0877366i | 0.844632 | − | 0.535347i | \(-0.179819\pi\) |
−0.782155 | + | 0.623083i | \(0.785880\pi\) | |||||||
\(458\) | 32.4771 | + | 681.778i | 0.0709107 | + | 1.48860i | ||||
\(459\) | 122.330 | + | 42.3387i | 0.266513 | + | 0.0922412i | ||||
\(460\) | 26.0630 | − | 3.74729i | 0.0566587 | − | 0.00814629i | ||||
\(461\) | −75.9439 | − | 166.294i | −0.164737 | − | 0.360725i | 0.809203 | − | 0.587529i | \(-0.199899\pi\) |
−0.973940 | + | 0.226805i | \(0.927172\pi\) | |||||||
\(462\) | 116.813 | + | 46.7650i | 0.252842 | + | 0.101223i | ||||
\(463\) | 588.001 | + | 28.0099i | 1.26998 | + | 0.0604966i | 0.671720 | − | 0.740805i | \(-0.265556\pi\) |
0.598260 | + | 0.801302i | \(0.295859\pi\) | |||||||
\(464\) | −233.093 | + | 149.800i | −0.502357 | + | 0.322845i | ||||
\(465\) | −110.826 | − | 26.8861i | −0.238335 | − | 0.0578195i | ||||
\(466\) | 5.75309 | − | 6.63942i | 0.0123457 | − | 0.0142477i | ||||
\(467\) | 443.331 | − | 348.640i | 0.949317 | − | 0.746551i | −0.0180742 | − | 0.999837i | \(-0.505754\pi\) |
0.967392 | + | 0.253285i | \(0.0815111\pi\) | |||||||
\(468\) | 60.3366i | 0.128924i | ||||||||
\(469\) | 275.382 | − | 720.018i | 0.587168 | − | 1.53522i | ||||
\(470\) | 516.147 | 1.09818 | ||||||||
\(471\) | 148.908 | + | 189.351i | 0.316152 | + | 0.402020i | ||||
\(472\) | 555.420 | + | 481.274i | 1.17674 | + | 1.01965i | ||||
\(473\) | 10.8941 | − | 44.9060i | 0.0230319 | − | 0.0949386i | ||||
\(474\) | 182.374 | + | 283.780i | 0.384756 | + | 0.598693i | ||||
\(475\) | −10.8376 | + | 227.510i | −0.0228161 | + | 0.478969i | ||||
\(476\) | −97.6532 | + | 243.926i | −0.205154 | + | 0.512450i | ||||
\(477\) | 236.778 | − | 108.133i | 0.496390 | − | 0.226694i | ||||
\(478\) | 80.7201 | + | 561.420i | 0.168870 | + | 1.17452i | ||||
\(479\) | 119.686 | − | 345.809i | 0.249866 | − | 0.721939i | −0.748410 | − | 0.663236i | \(-0.769182\pi\) |
0.998276 | − | 0.0587026i | \(-0.0186964\pi\) | |||||||
\(480\) | 100.128 | − | 4.76970i | 0.208600 | − | 0.00993687i | ||||
\(481\) | 995.619 | − | 708.977i | 2.06989 | − | 1.47396i | ||||
\(482\) | −69.2694 | − | 725.422i | −0.143712 | − | 1.50503i | ||||
\(483\) | −136.637 | + | 40.1203i | −0.282893 | + | 0.0830648i | ||||
\(484\) | 14.7272 | − | 102.430i | 0.0304280 | − | 0.211632i | ||||
\(485\) | 403.418 | + | 207.977i | 0.831790 | + | 0.428818i | ||||
\(486\) | −8.14904 | − | 33.5908i | −0.0167676 | − | 0.0691168i | ||||
\(487\) | 24.1270 | − | 25.3037i | 0.0495422 | − | 0.0519583i | −0.698497 | − | 0.715613i | \(-0.746147\pi\) |
0.748039 | + | 0.663655i | \(0.230996\pi\) | |||||||
\(488\) | 110.748 | − | 44.3367i | 0.226942 | − | 0.0908539i | ||||
\(489\) | −463.050 | + | 160.263i | −0.946932 | + | 0.327736i | ||||
\(490\) | 660.595 | − | 340.560i | 1.34815 | − | 0.695021i | ||||
\(491\) | 476.537 | + | 549.953i | 0.970544 | + | 1.12007i | 0.992736 | + | 0.120314i | \(0.0383900\pi\) |
−0.0221921 | + | 0.999754i | \(0.507065\pi\) | |||||||
\(492\) | 11.4005 | + | 2.19727i | 0.0231718 | + | 0.00446600i | ||||
\(493\) | −351.800 | − | 103.298i | −0.713590 | − | 0.209529i | ||||
\(494\) | 520.673 | − | 1140.12i | 1.05399 | − | 2.30793i | ||||
\(495\) | 24.8525 | − | 23.6969i | 0.0502072 | − | 0.0478724i | ||||
\(496\) | −166.711 | + | 259.408i | −0.336112 | + | 0.523000i | ||||
\(497\) | 33.3371 | + | 23.7393i | 0.0670767 | + | 0.0477651i | ||||
\(498\) | 145.908 | − | 252.720i | 0.292988 | − | 0.507469i | ||||
\(499\) | 64.7685 | − | 37.3941i | 0.129797 | − | 0.0749381i | −0.433696 | − | 0.901059i | \(-0.642791\pi\) |
0.563492 | + | 0.826121i | \(0.309457\pi\) | |||||||
\(500\) | 11.8532 | − | 124.133i | 0.0237065 | − | 0.248265i | ||||
\(501\) | −77.4048 | − | 401.614i | −0.154501 | − | 0.801626i | ||||
\(502\) | 544.089 | + | 427.876i | 1.08384 | + | 0.852343i | ||||
\(503\) | −144.457 | + | 183.692i | −0.287190 | + | 0.365192i | −0.908146 | − | 0.418653i | \(-0.862502\pi\) |
0.620956 | + | 0.783846i | \(0.286745\pi\) | |||||||
\(504\) | −231.725 | + | 44.6612i | −0.459771 | + | 0.0886136i | ||||
\(505\) | −337.442 | − | 32.2218i | −0.668203 | − | 0.0638056i | ||||
\(506\) | −22.5590 | − | 39.0733i | −0.0445830 | − | 0.0772200i | ||||
\(507\) | 468.599 | + | 270.546i | 0.924258 | + | 0.533621i | ||||
\(508\) | −73.2698 | + | 102.893i | −0.144232 | + | 0.202545i | ||||
\(509\) | −506.498 | − | 325.506i | −0.995084 | − | 0.639502i | −0.0615927 | − | 0.998101i | \(-0.519618\pi\) |
−0.933491 | + | 0.358600i | \(0.883254\pi\) | |||||||
\(510\) | 265.412 | + | 278.356i | 0.520415 | + | 0.545796i | ||||
\(511\) | 409.184 | + | 186.868i | 0.800752 | + | 0.365691i | ||||
\(512\) | −68.6878 | + | 233.929i | −0.134156 | + | 0.456893i | ||||
\(513\) | −25.3347 | + | 131.449i | −0.0493854 | + | 0.256236i | ||||
\(514\) | −183.013 | + | 158.582i | −0.356057 | + | 0.308525i | ||||
\(515\) | −203.162 | − | 394.079i | −0.394489 | − | 0.765202i | ||||
\(516\) | −8.42684 | − | 24.3478i | −0.0163311 | − | 0.0471856i | ||||
\(517\) | −61.2831 | − | 153.078i | −0.118536 | − | 0.296089i | ||||
\(518\) | −1028.58 | − | 980.746i | −1.98567 | − | 1.89333i | ||||
\(519\) | −473.978 | + | 114.986i | −0.913253 | + | 0.221553i | ||||
\(520\) | 276.311 | − | 535.969i | 0.531367 | − | 1.03071i | ||||
\(521\) | 39.7342 | + | 5.71291i | 0.0762652 | + | 0.0109653i | 0.180342 | − | 0.983604i | \(-0.442280\pi\) |
−0.104077 | + | 0.994569i | \(0.533189\pi\) | |||||||
\(522\) | 27.5823 | + | 93.9366i | 0.0528396 | + | 0.179955i | ||||
\(523\) | −659.355 | + | 62.9608i | −1.26072 | + | 0.120384i | −0.703929 | − | 0.710271i | \(-0.748573\pi\) |
−0.556788 | + | 0.830654i | \(0.687967\pi\) | |||||||
\(524\) | −80.8458 | − | 113.532i | −0.154286 | − | 0.216664i | ||||
\(525\) | 8.38328 | + | 175.987i | 0.0159681 | + | 0.335213i | ||||
\(526\) | −965.151 | − | 334.042i | −1.83489 | − | 0.635061i | ||||
\(527\) | −403.891 | + | 58.0708i | −0.766397 | + | 0.110191i | ||||
\(528\) | −38.5720 | − | 84.4608i | −0.0730529 | − | 0.159964i | ||||
\(529\) | −443.701 | − | 177.631i | −0.838755 | − | 0.335787i | ||||
\(530\) | 772.513 | + | 36.7993i | 1.45757 | + | 0.0694327i | ||||
\(531\) | 271.291 | − | 174.348i | 0.510905 | − | 0.328339i | ||||
\(532\) | −264.057 | − | 64.0596i | −0.496348 | − | 0.120413i | ||||
\(533\) | 105.070 | − | 121.257i | 0.197130 | − | 0.227500i | ||||
\(534\) | −111.418 | + | 87.6204i | −0.208649 | + | 0.164083i | ||||
\(535\) | − | 215.578i | − | 0.402950i | ||||||
\(536\) | −413.675 | + | 196.725i | −0.771783 | + | 0.367023i | ||||
\(537\) | −12.5875 | −0.0234404 | ||||||||
\(538\) | −298.514 | − | 379.591i | −0.554858 | − | 0.705560i | ||||
\(539\) | −179.437 | − | 155.483i | −0.332906 | − | 0.288465i | ||||
\(540\) | 4.51404 | − | 18.6071i | 0.00835932 | − | 0.0344576i | ||||
\(541\) | 188.780 | + | 293.748i | 0.348947 | + | 0.542972i | 0.970716 | − | 0.240229i | \(-0.0772224\pi\) |
−0.621770 | + | 0.783200i | \(0.713586\pi\) | |||||||
\(542\) | −51.8959 | + | 1089.43i | −0.0957489 | + | 2.01002i | ||||
\(543\) | 108.175 | − | 270.209i | 0.199218 | − | 0.497623i | ||||
\(544\) | 326.259 | − | 148.998i | 0.599742 | − | 0.273893i | ||||
\(545\) | 60.1387 | + | 418.274i | 0.110346 | + | 0.767476i | ||||
\(546\) | 317.103 | − | 916.209i | 0.580775 | − | 1.67804i | ||||
\(547\) | 663.315 | − | 31.5976i | 1.21264 | − | 0.0577652i | 0.568508 | − | 0.822678i | \(-0.307521\pi\) |
0.644134 | + | 0.764913i | \(0.277218\pi\) | |||||||
\(548\) | 166.647 | − | 118.668i | 0.304099 | − | 0.216548i | ||||
\(549\) | −4.97576 | − | 52.1085i | −0.00906331 | − | 0.0949152i | ||||
\(550\) | −53.5595 | + | 15.7265i | −0.0973809 | + | 0.0285936i | ||||
\(551\) | 53.9613 | − | 375.309i | 0.0979334 | − | 0.681142i | ||||
\(552\) | 75.2128 | + | 38.7749i | 0.136255 | + | 0.0702443i | ||||
\(553\) | −238.255 | − | 982.100i | −0.430841 | − | 1.77595i | ||||
\(554\) | 590.870 | − | 619.687i | 1.06655 | − | 1.11857i | ||||
\(555\) | −360.079 | + | 144.154i | −0.648791 | + | 0.259737i | ||||
\(556\) | −71.6074 | + | 24.7836i | −0.128790 | + | 0.0445748i | ||||
\(557\) | 289.360 | − | 149.176i | 0.519498 | − | 0.267820i | −0.178474 | − | 0.983945i | \(-0.557116\pi\) |
0.697972 | + | 0.716125i | \(0.254086\pi\) | |||||||
\(558\) | 71.3502 | + | 82.3425i | 0.127868 | + | 0.147567i | ||||
\(559\) | −349.617 | − | 67.3831i | −0.625433 | − | 0.120542i | ||||
\(560\) | −835.470 | − | 245.316i | −1.49191 | − | 0.438064i | ||||
\(561\) | 51.0414 | − | 111.765i | 0.0909829 | − | 0.199225i | ||||
\(562\) | 337.387 | − | 321.698i | 0.600333 | − | 0.572417i | ||||
\(563\) | 54.9198 | − | 85.4569i | 0.0975485 | − | 0.151788i | −0.789049 | − | 0.614330i | \(-0.789426\pi\) |
0.886597 | + | 0.462542i | \(0.153063\pi\) | |||||||
\(564\) | −74.8909 | − | 53.3295i | −0.132785 | − | 0.0945559i | ||||
\(565\) | 109.996 | − | 190.518i | 0.194683 | − | 0.337201i | ||||
\(566\) | −230.740 | + | 133.218i | −0.407667 | + | 0.235367i | ||||
\(567\) | −9.84320 | + | 103.083i | −0.0173601 | + | 0.181804i | ||||
\(568\) | −4.60233 | − | 23.8792i | −0.00810270 | − | 0.0420408i | ||||
\(569\) | 601.443 | + | 472.980i | 1.05702 | + | 0.831248i | 0.986086 | − | 0.166234i | \(-0.0531606\pi\) |
0.0709309 | + | 0.997481i | \(0.477403\pi\) | |||||||
\(570\) | −245.867 | + | 312.645i | −0.431345 | + | 0.548500i | ||||
\(571\) | 142.465 | − | 27.4579i | 0.249501 | − | 0.0480874i | −0.0629671 | − | 0.998016i | \(-0.520056\pi\) |
0.312468 | + | 0.949928i | \(0.398844\pi\) | |||||||
\(572\) | 57.0099 | + | 5.44379i | 0.0996677 | + | 0.00951711i | ||||
\(573\) | −21.8986 | − | 37.9294i | −0.0382174 | − | 0.0661945i | ||||
\(574\) | −161.569 | − | 93.2818i | −0.281479 | − | 0.162512i | ||||
\(575\) | 36.6455 | − | 51.4614i | 0.0637313 | − | 0.0894981i | ||||
\(576\) | 109.485 | + | 70.3617i | 0.190078 | + | 0.122156i | ||||
\(577\) | 179.812 | + | 188.581i | 0.311632 | + | 0.326830i | 0.860860 | − | 0.508843i | \(-0.169927\pi\) |
−0.549228 | + | 0.835673i | \(0.685078\pi\) | |||||||
\(578\) | 668.896 | + | 305.475i | 1.15726 | + | 0.528503i | ||||
\(579\) | −49.7381 | + | 169.392i | −0.0859034 | + | 0.292560i | ||||
\(580\) | −10.2634 | + | 53.2515i | −0.0176955 | + | 0.0918129i | ||||
\(581\) | −660.701 | + | 572.501i | −1.13718 | + | 0.985371i | ||||
\(582\) | −198.702 | − | 385.428i | −0.341412 | − | 0.662247i | ||||
\(583\) | −80.8081 | − | 233.480i | −0.138607 | − | 0.400480i | ||||
\(584\) | −99.3447 | − | 248.151i | −0.170111 | − | 0.424916i | ||||
\(585\) | −191.497 | − | 182.592i | −0.327345 | − | 0.312123i | ||||
\(586\) | 1142.57 | − | 277.185i | 1.94978 | − | 0.473013i | ||||
\(587\) | 451.717 | − | 876.208i | 0.769535 | − | 1.49269i | −0.0979317 | − | 0.995193i | \(-0.531223\pi\) |
0.867466 | − | 0.497496i | \(-0.165747\pi\) | |||||||
\(588\) | −131.037 | − | 18.8403i | −0.222852 | − | 0.0320413i | ||||
\(589\) | −118.884 | − | 404.881i | −0.201840 | − | 0.687404i | ||||
\(590\) | 953.804 | − | 91.0772i | 1.61662 | − | 0.154368i | ||||
\(591\) | 102.594 | + | 144.074i | 0.173595 | + | 0.243780i | ||||
\(592\) | 49.9019 | + | 1047.57i | 0.0842938 | + | 1.76954i | ||||
\(593\) | 403.496 | + | 139.651i | 0.680431 | + | 0.235499i | 0.645352 | − | 0.763885i | \(-0.276711\pi\) |
0.0350787 | + | 0.999385i | \(0.488832\pi\) | |||||||
\(594\) | −32.4740 | + | 4.66906i | −0.0546701 | + | 0.00786037i | ||||
\(595\) | −478.654 | − | 1048.11i | −0.804461 | − | 1.76152i | ||||
\(596\) | −23.2194 | − | 9.29564i | −0.0389587 | − | 0.0155967i | ||||
\(597\) | −450.045 | − | 21.4383i | −0.753844 | − | 0.0359100i | ||||
\(598\) | −292.461 | + | 187.953i | −0.489064 | + | 0.314303i | ||||
\(599\) | 322.915 | + | 78.3383i | 0.539090 | + | 0.130782i | 0.496054 | − | 0.868292i | \(-0.334782\pi\) |
0.0430360 | + | 0.999074i | \(0.486297\pi\) | |||||||
\(600\) | 68.5589 | − | 79.1212i | 0.114265 | − | 0.131869i | ||||
\(601\) | −321.982 | + | 253.209i | −0.535744 | + | 0.421313i | −0.849030 | − | 0.528345i | \(-0.822813\pi\) |
0.313286 | + | 0.949659i | \(0.398570\pi\) | |||||||
\(602\) | 414.008i | 0.687721i | ||||||||
\(603\) | 31.6856 | + | 198.487i | 0.0525465 | + | 0.329166i | ||||
\(604\) | 16.0361 | 0.0265498 | ||||||||
\(605\) | 280.525 | + | 356.716i | 0.463677 | + | 0.589613i | ||||
\(606\) | 244.757 | + | 212.083i | 0.403890 | + | 0.349973i | ||||
\(607\) | 131.381 | − | 541.560i | 0.216443 | − | 0.892192i | −0.755153 | − | 0.655548i | \(-0.772438\pi\) |
0.971597 | − | 0.236643i | \(-0.0760473\pi\) | |||||||
\(608\) | 200.532 | + | 312.034i | 0.329823 | + | 0.513214i | ||||
\(609\) | 13.9557 | − | 292.967i | 0.0229158 | − | 0.481063i | ||||
\(610\) | 57.8030 | − | 144.385i | 0.0947589 | − | 0.236696i | ||||
\(611\) | −1155.71 | + | 527.795i | −1.89150 | + | 0.863821i | ||||
\(612\) | −9.74980 | − | 67.8113i | −0.0159310 | − | 0.110803i | ||||
\(613\) | 234.549 | − | 677.684i | 0.382624 | − | 1.10552i | −0.575162 | − | 0.818039i | \(-0.695061\pi\) |
0.957786 | − | 0.287481i | \(-0.0928177\pi\) | |||||||
\(614\) | −473.811 | + | 22.5704i | −0.771679 | + | 0.0367596i | ||||
\(615\) | −41.4742 | + | 29.5337i | −0.0674378 | + | 0.0480222i | ||||
\(616\) | 21.2918 | + | 222.978i | 0.0345646 | + | 0.361977i | ||||
\(617\) | 259.408 | − | 76.1691i | 0.420434 | − | 0.123451i | −0.0646704 | − | 0.997907i | \(-0.520600\pi\) |
0.485105 | + | 0.874456i | \(0.338781\pi\) | |||||||
\(618\) | −60.2836 | + | 419.282i | −0.0975464 | + | 0.678450i | ||||
\(619\) | −29.0392 | − | 14.9708i | −0.0469132 | − | 0.0241854i | 0.434610 | − | 0.900619i | \(-0.356886\pi\) |
−0.481524 | + | 0.876433i | \(0.659916\pi\) | |||||||
\(620\) | 14.2290 | + | 58.6526i | 0.0229499 | + | 0.0946009i | ||||
\(621\) | 25.6232 | − | 26.8728i | 0.0412612 | − | 0.0432735i | ||||
\(622\) | −282.007 | + | 112.899i | −0.453388 | + | 0.181509i | ||||
\(623\) | 401.288 | − | 138.887i | 0.644121 | − | 0.222933i | ||||
\(624\) | −635.918 | + | 327.839i | −1.01910 | + | 0.525382i | ||||
\(625\) | 213.364 | + | 246.235i | 0.341382 | + | 0.393976i | ||||
\(626\) | 194.161 | + | 37.4214i | 0.310161 | + | 0.0597786i | ||||
\(627\) | 121.916 | + | 35.7977i | 0.194443 | + | 0.0570937i | ||||
\(628\) | 52.9596 | − | 115.965i | 0.0843306 | − | 0.184658i | ||||
\(629\) | −1004.40 | + | 957.690i | −1.59682 | + | 1.52256i | ||||
\(630\) | −166.336 | + | 258.825i | −0.264026 | + | 0.410833i | ||||
\(631\) | 396.911 | + | 282.639i | 0.629019 | + | 0.447922i | 0.849586 | − | 0.527449i | \(-0.176852\pi\) |
−0.220568 | + | 0.975372i | \(0.570791\pi\) | |||||||
\(632\) | −300.252 | + | 520.053i | −0.475083 | + | 0.822868i | ||||
\(633\) | −357.429 | + | 206.362i | −0.564659 | + | 0.326006i | ||||
\(634\) | 18.4129 | − | 192.828i | 0.0290424 | − | 0.304146i | ||||
\(635\) | −104.832 | − | 543.921i | −0.165090 | − | 0.856569i | ||||
\(636\) | −108.286 | − | 85.1573i | −0.170261 | − | 0.133895i | ||||
\(637\) | −1130.90 | + | 1438.05i | −1.77535 | + | 2.25754i | ||||
\(638\) | 91.2460 | − | 17.5862i | 0.143019 | − | 0.0275646i | ||||
\(639\) | −10.6226 | − | 1.01434i | −0.0166239 | − | 0.00158739i | ||||
\(640\) | 309.088 | + | 535.356i | 0.482950 | + | 0.836495i | ||||
\(641\) | 612.873 | + | 353.843i | 0.956121 | + | 0.552017i | 0.894977 | − | 0.446112i | \(-0.147192\pi\) |
0.0611438 | + | 0.998129i | \(0.480525\pi\) | |||||||
\(642\) | −119.471 | + | 167.774i | −0.186092 | + | 0.261329i | ||||
\(643\) | −972.943 | − | 625.272i | −1.51313 | − | 0.972430i | −0.992971 | − | 0.118360i | \(-0.962236\pi\) |
−0.520159 | − | 0.854069i | \(-0.674127\pi\) | |||||||
\(644\) | 52.0082 | + | 54.5446i | 0.0807581 | + | 0.0846967i | ||||
\(645\) | 102.777 | + | 46.9365i | 0.159344 | + | 0.0727698i | ||||
\(646\) | −400.945 | + | 1365.49i | −0.620658 | + | 2.11377i | ||||
\(647\) | 154.302 | − | 800.593i | 0.238488 | − | 1.23739i | −0.643251 | − | 0.765656i | \(-0.722415\pi\) |
0.881739 | − | 0.471738i | \(-0.156373\pi\) | |||||||
\(648\) | 46.5026 | − | 40.2947i | 0.0717633 | − | 0.0621832i | ||||
\(649\) | −140.259 | − | 272.064i | −0.216115 | − | 0.419204i | ||||
\(650\) | 140.677 | + | 406.459i | 0.216426 | + | 0.625322i | ||||
\(651\) | −121.315 | − | 303.029i | −0.186351 | − | 0.465483i | ||||
\(652\) | 187.681 | + | 178.953i | 0.287854 | + | 0.274468i | ||||
\(653\) | 3.94815 | − | 0.957810i | 0.00604617 | − | 0.00146678i | −0.232735 | − | 0.972540i | \(-0.574767\pi\) |
0.238781 | + | 0.971073i | \(0.423252\pi\) | |||||||
\(654\) | 185.000 | − | 358.850i | 0.282875 | − | 0.548700i | ||||
\(655\) | 604.986 | + | 86.9839i | 0.923643 | + | 0.132800i | ||||
\(656\) | 38.7866 | + | 132.095i | 0.0591259 | + | 0.201364i | ||||
\(657\) | −116.759 | + | 11.1491i | −0.177715 | + | 0.0169697i | ||||
\(658\) | 856.938 | + | 1203.40i | 1.30234 | + | 1.82888i | ||||
\(659\) | 54.3780 | + | 1141.54i | 0.0825160 | + | 1.73222i | 0.538839 | + | 0.842409i | \(0.318863\pi\) |
−0.456323 | + | 0.889814i | \(0.650834\pi\) | |||||||
\(660\) | −17.1739 | − | 5.94396i | −0.0260211 | − | 0.00900600i | ||||
\(661\) | −470.438 | + | 67.6388i | −0.711707 | + | 0.102328i | −0.488653 | − | 0.872478i | \(-0.662512\pi\) |
−0.223054 | + | 0.974806i | \(0.571603\pi\) | |||||||
\(662\) | −546.614 | − | 1196.92i | −0.825701 | − | 1.80803i | ||||
\(663\) | −878.923 | − | 351.868i | −1.32568 | − | 0.530721i | ||||
\(664\) | 518.893 | + | 24.7179i | 0.781465 | + | 0.0372258i | ||||
\(665\) | 1002.41 | − | 644.209i | 1.50738 | − | 0.968735i | ||||
\(666\) | 360.120 | + | 87.3641i | 0.540721 | + | 0.131177i | ||||
\(667\) | −68.8713 | + | 79.4817i | −0.103255 | + | 0.119163i | ||||
\(668\) | −170.148 | + | 133.806i | −0.254713 | + | 0.200308i | ||||
\(669\) | 433.107i | 0.647394i | ||||||||
\(670\) | −186.554 | + | 567.312i | −0.278438 | + | 0.846734i | ||||
\(671\) | −49.6844 | −0.0740454 | ||||||||
\(672\) | 177.360 | + | 225.531i | 0.263928 | + | 0.335612i | ||||
\(673\) | −96.2356 | − | 83.3887i | −0.142995 | − | 0.123906i | 0.580426 | − | 0.814313i | \(-0.302886\pi\) |
−0.723421 | + | 0.690407i | \(0.757431\pi\) | |||||||
\(674\) | 95.3761 | − | 393.146i | 0.141508 | − | 0.583302i | ||||
\(675\) | −24.8364 | − | 38.6461i | −0.0367946 | − | 0.0572535i | ||||
\(676\) | 13.6257 | − | 286.038i | 0.0201563 | − | 0.423134i | ||||
\(677\) | 186.661 | − | 466.256i | 0.275718 | − | 0.688709i | −0.724282 | − | 0.689504i | \(-0.757829\pi\) |
1.00000 | 0.000794461i | \(0.000252885\pi\) | ||||||||
\(678\) | −191.187 | + | 87.3124i | −0.281987 | + | 0.128779i | ||||
\(679\) | 184.880 | + | 1285.87i | 0.272283 | + | 1.89377i | ||||
\(680\) | −223.934 | + | 647.016i | −0.329315 | + | 0.951494i | ||||
\(681\) | 29.3543 | − | 1.39832i | 0.0431047 | − | 0.00205333i | ||||
\(682\) | 84.2401 | − | 59.9871i | 0.123519 | − | 0.0879576i | ||||
\(683\) | −1.00601 | − | 10.5354i | −0.00147293 | − | 0.0154252i | 0.994706 | − | 0.102766i | \(-0.0327692\pi\) |
−0.996179 | + | 0.0873406i | \(0.972163\pi\) | |||||||
\(684\) | 67.9775 | − | 19.9600i | 0.0993823 | − | 0.0291813i | ||||
\(685\) | −127.678 | + | 888.021i | −0.186391 | + | 1.29638i | ||||
\(686\) | 779.646 | + | 401.935i | 1.13651 | + | 0.585912i | ||||
\(687\) | 125.698 | + | 518.135i | 0.182967 | + | 0.754200i | ||||
\(688\) | 210.826 | − | 221.108i | 0.306434 | − | 0.321378i | ||||
\(689\) | −1767.37 | + | 707.548i | −2.56512 | + | 1.02692i | ||||
\(690\) | 104.253 | − | 36.0823i | 0.151091 | − | 0.0522932i | ||||
\(691\) | 197.876 | − | 102.012i | 0.286362 | − | 0.147630i | −0.309061 | − | 0.951042i | \(-0.600015\pi\) |
0.595423 | + | 0.803412i | \(0.296984\pi\) | |||||||
\(692\) | 169.033 | + | 195.074i | 0.244267 | + | 0.281899i | ||||
\(693\) | 96.5111 | + | 18.6010i | 0.139266 | + | 0.0268413i | ||||
\(694\) | −823.094 | − | 241.682i | −1.18601 | − | 0.348245i | ||||
\(695\) | 138.042 | − | 302.269i | 0.198621 | − | 0.434919i | ||||
\(696\) | −126.134 | + | 120.269i | −0.181227 | + | 0.172800i | ||||
\(697\) | −98.4927 | + | 153.258i | −0.141310 | + | 0.219882i | ||||
\(698\) | −610.180 | − | 434.507i | −0.874183 | − | 0.622503i | ||||
\(699\) | 3.43121 | − | 5.94304i | 0.00490875 | − | 0.00850220i | ||||
\(700\) | 80.7511 | − | 46.6217i | 0.115359 | − | 0.0666024i | ||||
\(701\) | −11.2056 | + | 117.350i | −0.0159852 | + | 0.167404i | −0.999939 | − | 0.0110174i | \(-0.996493\pi\) |
0.983954 | + | 0.178421i | \(0.0570991\pi\) | |||||||
\(702\) | 47.8419 | + | 248.227i | 0.0681508 | + | 0.353600i | ||||
\(703\) | −1128.12 | − | 887.165i | −1.60473 | − | 1.26197i | ||||
\(704\) | 76.3605 | − | 97.1002i | 0.108467 | − | 0.137926i | ||||
\(705\) | 395.894 | − | 76.3023i | 0.561552 | − | 0.108230i | ||||
\(706\) | −484.937 | − | 46.3059i | −0.686880 | − | 0.0655891i | ||||
\(707\) | −485.117 | − | 840.247i | −0.686162 | − | 1.18847i | ||||
\(708\) | −147.803 | − | 85.3344i | −0.208762 | − | 0.120529i | ||||
\(709\) | −611.790 | + | 859.138i | −0.862891 | + | 1.21176i | 0.113020 | + | 0.993593i | \(0.463948\pi\) |
−0.975911 | + | 0.218168i | \(0.929992\pi\) | |||||||
\(710\) | −26.6718 | − | 17.1409i | −0.0375659 | − | 0.0241422i | ||||
\(711\) | 181.836 | + | 190.704i | 0.255747 | + | 0.268220i | ||||
\(712\) | −229.526 | − | 104.821i | −0.322368 | − | 0.147221i | ||||
\(713\) | −32.9746 | + | 112.301i | −0.0462477 | + | 0.157505i | ||||
\(714\) | −208.337 | + | 1080.95i | −0.291788 | + | 1.51394i | ||||
\(715\) | −189.802 | + | 164.465i | −0.265458 | + | 0.230020i | ||||
\(716\) | 3.05257 | + | 5.92117i | 0.00426337 | + | 0.00826979i | ||||
\(717\) | 144.909 | + | 418.687i | 0.202104 | + | 0.583942i | ||||
\(718\) | 130.153 | + | 325.107i | 0.181272 | + | 0.452795i | ||||
\(719\) | 415.072 | + | 395.770i | 0.577291 | + | 0.550446i | 0.921466 | − | 0.388460i | \(-0.126993\pi\) |
−0.344175 | + | 0.938906i | \(0.611841\pi\) | |||||||
\(720\) | 220.637 | − | 53.5259i | 0.306440 | − | 0.0743416i | ||||
\(721\) | 581.498 | − | 1127.95i | 0.806515 | − | 1.56442i | ||||
\(722\) | −664.426 | − | 95.5300i | −0.920257 | − | 0.132313i | ||||
\(723\) | −160.371 | − | 546.172i | −0.221813 | − | 0.755424i | ||||
\(724\) | −153.340 | + | 14.6422i | −0.211795 | + | 0.0202240i | ||||
\(725\) | 75.4753 | + | 105.990i | 0.104104 | + | 0.146193i | ||||
\(726\) | −20.6300 | − | 433.078i | −0.0284160 | − | 0.596526i | ||||
\(727\) | −353.903 | − | 122.487i | −0.486800 | − | 0.168483i | 0.0726331 | − | 0.997359i | \(-0.476860\pi\) |
−0.559433 | + | 0.828876i | \(0.688981\pi\) | |||||||
\(728\) | 1708.36 | − | 245.626i | 2.34665 | − | 0.337398i | ||||
\(729\) | −11.2162 | − | 24.5601i | −0.0153857 | − | 0.0336901i | ||||
\(730\) | −323.521 | − | 129.518i | −0.443180 | − | 0.177422i | ||||
\(731\) | 403.817 | + | 19.2362i | 0.552418 | + | 0.0263149i | ||||
\(732\) | −23.3052 | + | 14.9773i | −0.0318377 | + | 0.0204608i | ||||
\(733\) | −513.285 | − | 124.522i | −0.700253 | − | 0.169879i | −0.130200 | − | 0.991488i | \(-0.541562\pi\) |
−0.570052 | + | 0.821608i | \(0.693077\pi\) | |||||||
\(734\) | 811.954 | − | 937.045i | 1.10620 | − | 1.27663i | ||||
\(735\) | 456.343 | − | 358.872i | 0.620875 | − | 0.488262i | ||||
\(736\) | − | 102.880i | − | 0.139783i | ||||||
\(737\) | 190.402 | − | 12.0304i | 0.258348 | − | 0.0163234i | ||||
\(738\) | 48.6445 | 0.0659140 | ||||||||
\(739\) | −7.19319 | − | 9.14689i | −0.00973368 | − | 0.0123774i | 0.781162 | − | 0.624329i | \(-0.214627\pi\) |
−0.790896 | + | 0.611951i | \(0.790385\pi\) | |||||||
\(740\) | 155.132 | + | 134.423i | 0.209638 | + | 0.181652i | ||||
\(741\) | 230.822 | − | 951.461i | 0.311501 | − | 1.28402i | ||||
\(742\) | 1196.77 | + | 1862.22i | 1.61290 | + | 2.50973i | ||||
\(743\) | −26.0436 | + | 546.722i | −0.0350519 | + | 0.735830i | 0.911115 | + | 0.412152i | \(0.135223\pi\) |
−0.946167 | + | 0.323679i | \(0.895080\pi\) | |||||||
\(744\) | −72.0869 | + | 180.064i | −0.0968910 | + | 0.242022i | ||||
\(745\) | 99.7696 | − | 45.5632i | 0.133919 | − | 0.0611587i | ||||
\(746\) | −30.1551 | − | 209.734i | −0.0404224 | − | 0.281144i | ||||
\(747\) | 74.5542 | − | 215.410i | 0.0998049 | − | 0.288367i | ||||
\(748\) | −64.9522 | + | 3.09406i | −0.0868345 | + | 0.00413644i | ||||
\(749\) | 502.622 | − | 357.916i | 0.671058 | − | 0.477858i | ||||
\(750\) | −49.6622 | − | 520.086i | −0.0662162 | − | 0.693448i | ||||
\(751\) | −1398.28 | + | 410.573i | −1.86189 | + | 0.546701i | −0.862736 | + | 0.505654i | \(0.831251\pi\) |
−0.999157 | + | 0.0410474i | \(0.986931\pi\) | |||||||
\(752\) | 155.148 | − | 1079.08i | 0.206314 | − | 1.43495i | ||||
\(753\) | 480.579 | + | 247.756i | 0.638220 | + | 0.329025i | ||||
\(754\) | −168.808 | − | 695.835i | −0.223883 | − | 0.922858i | ||||
\(755\) | −48.5287 | + | 50.8954i | −0.0642764 | + | 0.0674111i | ||||
\(756\) | 50.8771 | − | 20.3681i | 0.0672978 | − | 0.0269420i | ||||
\(757\) | 58.2249 | − | 20.1518i | 0.0769153 | − | 0.0266206i | −0.288339 | − | 0.957528i | \(-0.593103\pi\) |
0.365255 | + | 0.930908i | \(0.380982\pi\) | |||||||
\(758\) | 424.058 | − | 218.617i | 0.559443 | − | 0.288413i | ||||
\(759\) | −23.0794 | − | 26.6350i | −0.0304076 | − | 0.0350923i | ||||
\(760\) | −695.250 | − | 133.998i | −0.914802 | − | 0.176314i | ||||
\(761\) | 1185.51 | + | 348.098i | 1.55783 | + | 0.457421i | 0.943430 | − | 0.331571i | \(-0.107579\pi\) |
0.614403 | + | 0.788992i | \(0.289397\pi\) | |||||||
\(762\) | −219.849 | + | 481.403i | −0.288516 | + | 0.631763i | ||||
\(763\) | −875.364 | + | 834.658i | −1.14727 | + | 1.09392i | ||||
\(764\) | −12.5314 | + | 19.4993i | −0.0164024 | + | 0.0255226i | ||||
\(765\) | 244.725 | + | 174.268i | 0.319902 | + | 0.227801i | ||||
\(766\) | 642.210 | − | 1112.34i | 0.838394 | − | 1.45214i | ||||
\(767\) | −2042.54 | + | 1179.26i | −2.66302 | + | 1.53750i | ||||
\(768\) | 27.5711 | − | 288.738i | 0.0358999 | − | 0.375961i | ||||
\(769\) | 98.9314 | + | 513.305i | 0.128649 | + | 0.667497i | 0.987794 | + | 0.155764i | \(0.0497840\pi\) |
−0.859145 | + | 0.511732i | \(0.829004\pi\) | |||||||
\(770\) | 229.547 | + | 180.518i | 0.298113 | + | 0.234439i | ||||
\(771\) | −116.931 | + | 148.690i | −0.151662 | + | 0.192854i | ||||
\(772\) | 91.7441 | − | 17.6822i | 0.118839 | − | 0.0229044i | ||||
\(773\) | 1526.33 | + | 145.746i | 1.97455 | + | 0.188547i | 0.999448 | − | 0.0332184i | \(-0.0105757\pi\) |
0.975100 | + | 0.221765i | \(0.0711817\pi\) | |||||||
\(774\) | −53.9742 | − | 93.4860i | −0.0697341 | − | 0.120783i | ||||
\(775\) | 125.406 | + | 72.4031i | 0.161814 | + | 0.0934234i | ||||
\(776\) | 447.768 | − | 628.803i | 0.577021 | − | 0.810313i | ||||
\(777\) | −933.921 | − | 600.195i | −1.20196 | − | 0.772452i | ||||
\(778\) | −741.383 | − | 777.540i | −0.952934 | − | 0.999409i | ||||
\(779\) | −171.372 | − | 78.2628i | −0.219989 | − | 0.100466i | ||||
\(780\) | −39.4517 | + | 134.360i | −0.0505791 | + | 0.172256i | ||||
\(781\) | −1.91683 | + | 9.94546i | −0.00245433 | + | 0.0127343i | ||||
\(782\) | 298.320 | − | 258.496i | 0.381484 | − | 0.330558i | ||||
\(783\) | 35.0428 | + | 67.9735i | 0.0447545 | + | 0.0868117i | ||||
\(784\) | −513.423 | − | 1483.44i | −0.654876 | − | 1.89214i | ||||
\(785\) | 207.785 | + | 519.021i | 0.264694 | + | 0.661173i | ||||
\(786\) | −422.624 | − | 402.972i | −0.537690 | − | 0.512687i | ||||
\(787\) | 475.691 | − | 115.401i | 0.604435 | − | 0.146634i | 0.0781488 | − | 0.996942i | \(-0.475099\pi\) |
0.526287 | + | 0.850307i | \(0.323584\pi\) | |||||||
\(788\) | 42.8923 | − | 83.1995i | 0.0544319 | − | 0.105583i | ||||
\(789\) | −789.670 | − | 113.537i | −1.00085 | − | 0.143900i | ||||
\(790\) | 220.567 | + | 751.181i | 0.279198 | + | 0.950862i | ||||
\(791\) | 626.817 | − | 59.8538i | 0.792437 | − | 0.0756685i | ||||
\(792\) | −33.8775 | − | 47.5743i | −0.0427746 | − | 0.0600685i | ||||
\(793\) | 18.2160 | + | 382.401i | 0.0229710 | + | 0.482220i | ||||
\(794\) | 36.9959 | + | 12.8044i | 0.0465944 | + | 0.0161265i | ||||
\(795\) | 597.971 | − | 85.9753i | 0.752165 | − | 0.108145i | ||||
\(796\) | 99.0550 | + | 216.900i | 0.124441 | + | 0.272488i | ||||
\(797\) | −1411.37 | − | 565.027i | −1.77085 | − | 0.708942i | −0.997154 | − | 0.0753877i | \(-0.975981\pi\) |
−0.773698 | − | 0.633555i | \(-0.781595\pi\) | |||||||
\(798\) | −1137.14 | − | 54.1685i | −1.42498 | − | 0.0678804i | ||||
\(799\) | 1213.60 | − | 779.931i | 1.51889 | − | 0.976134i | ||||
\(800\) | −123.697 | − | 30.0086i | −0.154621 | − | 0.0375107i | ||||
\(801\) | −72.5070 | + | 83.6775i | −0.0905206 | + | 0.104466i | ||||
\(802\) | 320.004 | − | 251.654i | 0.399007 | − | 0.313783i | ||||
\(803\) | 111.327i | 0.138639i | ||||||||
\(804\) | 85.6842 | − | 63.0395i | 0.106572 | − | 0.0784074i | ||||
\(805\) | −330.503 | −0.410562 | ||||||||
\(806\) | −492.581 | − | 626.368i | −0.611143 | − | 0.777132i | ||||
\(807\) | −285.081 | − | 247.024i | −0.353260 | − | 0.306101i | ||||
\(808\) | −135.921 | + | 560.275i | −0.168219 | + | 0.693410i | ||||
\(809\) | 614.924 | + | 956.841i | 0.760104 | + | 1.18275i | 0.978371 | + | 0.206856i | \(0.0663232\pi\) |
−0.218267 | + | 0.975889i | \(0.570040\pi\) | |||||||
\(810\) | 3.81705 | − | 80.1297i | 0.00471241 | − | 0.0989256i | ||||
\(811\) | 29.6739 | − | 74.1219i | 0.0365893 | − | 0.0913957i | −0.908948 | − | 0.416910i | \(-0.863113\pi\) |
0.945537 | + | 0.325514i | \(0.105537\pi\) | |||||||
\(812\) | −141.196 | + | 64.4821i | −0.173887 | + | 0.0794115i | ||||
\(813\) | 121.246 | + | 843.284i | 0.149134 | + | 1.03725i | ||||
\(814\) | 115.039 | − | 332.383i | 0.141325 | − | 0.408332i | ||||
\(815\) | −1135.93 | + | 54.1109i | −1.39378 | + | 0.0663938i | ||||
\(816\) | 661.723 | − | 471.211i | 0.810935 | − | 0.577464i | ||||
\(817\) | 39.7407 | + | 416.183i | 0.0486422 | + | 0.509404i | ||||
\(818\) | 273.083 | − | 80.1845i | 0.333843 | − | 0.0980250i | ||||
\(819\) | 107.780 | − | 749.626i | 0.131600 | − | 0.915295i | ||||
\(820\) | 23.9505 | + | 12.3473i | 0.0292079 | + | 0.0150577i | ||||
\(821\) | −372.886 | − | 1537.06i | −0.454185 | − | 1.87218i | −0.488162 | − | 0.872753i | \(-0.662332\pi\) |
0.0339772 | − | 0.999423i | \(-0.489183\pi\) | |||||||
\(822\) | 591.497 | − | 620.344i | 0.719583 | − | 0.754677i | ||||
\(823\) | 756.454 | − | 302.838i | 0.919142 | − | 0.367969i | 0.136643 | − | 0.990620i | \(-0.456369\pi\) |
0.782499 | + | 0.622652i | \(0.213945\pi\) | |||||||
\(824\) | −712.595 | + | 246.632i | −0.864800 | + | 0.299310i | ||||
\(825\) | −38.7562 | + | 19.9802i | −0.0469773 | + | 0.0242185i | ||||
\(826\) | 1795.91 | + | 2072.59i | 2.17423 | + | 2.50919i | ||||
\(827\) | −563.519 | − | 108.609i | −0.681401 | − | 0.131329i | −0.163207 | − | 0.986592i | \(-0.552184\pi\) |
−0.518195 | + | 0.855263i | \(0.673396\pi\) | |||||||
\(828\) | −18.8548 | − | 5.53627i | −0.0227715 | − | 0.00668632i | ||||
\(829\) | −141.355 | + | 309.524i | −0.170513 | + | 0.373370i | −0.975525 | − | 0.219887i | \(-0.929431\pi\) |
0.805013 | + | 0.593257i | \(0.202158\pi\) | |||||||
\(830\) | 490.157 | − | 467.364i | 0.590551 | − | 0.563089i | ||||
\(831\) | 361.600 | − | 562.660i | 0.435138 | − | 0.677088i | ||||
\(832\) | −775.337 | − | 552.115i | −0.931895 | − | 0.663600i | ||||
\(833\) | 1038.62 | − | 1798.95i | 1.24685 | − | 2.15960i | ||||
\(834\) | −274.945 | + | 158.740i | −0.329670 | + | 0.190335i | ||||
\(835\) | 90.2312 | − | 944.944i | 0.108061 | − | 1.13167i | ||||
\(836\) | −12.7263 | − | 66.0305i | −0.0152229 | − | 0.0789838i | ||||
\(837\) | 66.8997 | + | 52.6105i | 0.0799279 | + | 0.0628560i | ||||
\(838\) | −582.546 | + | 740.767i | −0.695162 | + | 0.883971i | ||||
\(839\) | −644.524 | + | 124.222i | −0.768205 | + | 0.148059i | −0.558274 | − | 0.829657i | \(-0.688536\pi\) |
−0.209931 | + | 0.977716i | \(0.567324\pi\) | |||||||
\(840\) | −545.216 | − | 52.0618i | −0.649067 | − | 0.0619784i | ||||
\(841\) | 312.196 | + | 540.740i | 0.371220 | + | 0.642972i | ||||
\(842\) | 168.875 | + | 97.5003i | 0.200565 | + | 0.115796i | ||||
\(843\) | 211.225 | − | 296.625i | 0.250564 | − | 0.351868i | ||||
\(844\) | 183.752 | + | 118.090i | 0.217716 | + | 0.139917i | ||||
\(845\) | 866.597 | + | 908.861i | 1.02556 | + | 1.07558i | ||||
\(846\) | −350.390 | − | 160.018i | −0.414173 | − | 0.189146i | ||||
\(847\) | −365.943 | + | 1246.29i | −0.432046 | + | 1.47141i | ||||
\(848\) | 309.143 | − | 1603.99i | 0.364556 | − | 1.89149i | ||||
\(849\) | −157.288 | + | 136.291i | −0.185263 | + | 0.160531i | ||||
\(850\) | −223.784 | − | 434.081i | −0.263276 | − | 0.510684i | ||||
\(851\) | 130.197 | + | 376.178i | 0.152992 | + | 0.442043i | ||||
\(852\) | 2.09893 | + | 5.24288i | 0.00246353 | + | 0.00615361i | ||||
\(853\) | −425.983 | − | 406.174i | −0.499394 | − | 0.476171i | 0.398010 | − | 0.917381i | \(-0.369701\pi\) |
−0.897404 | + | 0.441210i | \(0.854549\pi\) | |||||||
\(854\) | 432.602 | − | 104.948i | 0.506560 | − | 0.122890i | ||||
\(855\) | −142.366 | + | 276.151i | −0.166510 | + | 0.322984i | ||||
\(856\) | −362.919 | − | 52.1799i | −0.423971 | − | 0.0609578i | ||||
\(857\) | −229.939 | − | 783.099i | −0.268306 | − | 0.913768i | −0.977885 | − | 0.209142i | \(-0.932933\pi\) |
0.709579 | − | 0.704626i | \(-0.248885\pi\) | |||||||
\(858\) | 238.858 | − | 22.8082i | 0.278389 | − | 0.0265829i | ||||
\(859\) | −447.106 | − | 627.873i | −0.520496 | − | 0.730935i | 0.467741 | − | 0.883866i | \(-0.345068\pi\) |
−0.988237 | + | 0.152931i | \(0.951129\pi\) | |||||||
\(860\) | −2.84522 | − | 59.7286i | −0.00330840 | − | 0.0694519i | ||||
\(861\) | −137.716 | − | 47.6640i | −0.159949 | − | 0.0553589i | ||||
\(862\) | −208.445 | + | 29.9699i | −0.241816 | + | 0.0347678i | ||||
\(863\) | 342.803 | + | 750.634i | 0.397223 | + | 0.869796i | 0.997544 | + | 0.0700375i | \(0.0223119\pi\) |
−0.600322 | + | 0.799759i | \(0.704961\pi\) | |||||||
\(864\) | −69.4515 | − | 27.8042i | −0.0803837 | − | 0.0321808i | ||||
\(865\) | −1130.66 | − | 53.8600i | −1.30712 | − | 0.0622659i | ||||
\(866\) | −776.873 | + | 499.266i | −0.897082 | + | 0.576520i | ||||
\(867\) | 558.214 | + | 135.421i | 0.643846 | + | 0.156195i | ||||
\(868\) | −113.125 | + | 130.553i | −0.130329 | + | 0.150407i | ||||
\(869\) | 196.596 | − | 154.605i | 0.226232 | − | 0.177911i | ||||
\(870\) | 227.217i | 0.261169i | ||||||||
\(871\) | −162.401 | − | 1461.04i | −0.186453 | − | 1.67742i | ||||
\(872\) | 718.708 | 0.824207 | ||||||||
\(873\) | −209.386 | − | 266.256i | −0.239846 | − | 0.304989i | ||||
\(874\) | 308.504 | + | 267.320i | 0.352980 | + | 0.305859i | ||||
\(875\) | −369.005 | + | 1521.06i | −0.421720 | + | 1.73835i | ||||
\(876\) | 33.5595 | + | 52.2196i | 0.0383099 | + | 0.0596114i | ||||
\(877\) | 31.1827 | − | 654.606i | 0.0355561 | − | 0.746415i | −0.908749 | − | 0.417344i | \(-0.862961\pi\) |
0.944305 | − | 0.329072i | \(-0.106736\pi\) | |||||||
\(878\) | 41.0288 | − | 102.485i | 0.0467299 | − | 0.116726i | ||||
\(879\) | 835.398 | − | 381.514i | 0.950396 | − | 0.434032i | ||||
\(880\) | −30.6681 | − | 213.302i | −0.0348502 | − | 0.242388i | ||||
\(881\) | 394.074 | − | 1138.60i | 0.447303 | − | 1.29240i | −0.465881 | − | 0.884848i | \(-0.654262\pi\) |
0.913183 | − | 0.407549i | \(-0.133616\pi\) | |||||||
\(882\) | −554.032 | + | 26.3918i | −0.628154 | + | 0.0299227i | ||||
\(883\) | −90.5925 | + | 64.5106i | −0.102596 | + | 0.0730585i | −0.630204 | − | 0.776430i | \(-0.717029\pi\) |
0.527607 | + | 0.849488i | \(0.323089\pi\) | |||||||
\(884\) | 47.6274 | + | 498.776i | 0.0538771 | + | 0.564227i | ||||
\(885\) | 718.121 | − | 210.859i | 0.811436 | − | 0.238259i | ||||
\(886\) | −113.486 | + | 789.311i | −0.128088 | + | 0.890870i | ||||
\(887\) | 383.928 | + | 197.929i | 0.432839 | + | 0.223144i | 0.660855 | − | 0.750513i | \(-0.270194\pi\) |
−0.228016 | + | 0.973657i | \(0.573224\pi\) | |||||||
\(888\) | 155.523 | + | 641.074i | 0.175138 | + | 0.721931i | ||||
\(889\) | 1094.11 | − | 1147.47i | 1.23072 | − | 1.29074i | ||||
\(890\) | −305.403 | + | 122.265i | −0.343149 | + | 0.137376i | ||||
\(891\) | −24.2179 | + | 8.38191i | −0.0271806 | + | 0.00940730i | ||||
\(892\) | 203.733 | − | 105.032i | 0.228401 | − | 0.117749i | ||||
\(893\) | 976.955 | + | 1127.47i | 1.09401 | + | 1.26256i | ||||
\(894\) | −102.896 | − | 19.8316i | −0.115096 | − | 0.0221830i | ||||
\(895\) | −28.0304 | − | 8.23047i | −0.0313189 | − | 0.00919606i | ||||
\(896\) | −735.022 | + | 1609.47i | −0.820337 | + | 1.79629i | ||||
\(897\) | −196.537 | + | 187.398i | −0.219105 | + | 0.208916i | ||||
\(898\) | −92.0071 | + | 143.166i | −0.102458 | + | 0.159427i | ||||
\(899\) | −196.362 | − | 139.829i | −0.218423 | − | 0.155538i | ||||
\(900\) | −12.1561 | + | 21.0550i | −0.0135068 | + | 0.0233945i | ||||
\(901\) | 1871.99 | − | 1080.79i | 2.07768 | − | 1.19955i | ||||
\(902\) | 4.38889 | − | 45.9625i | 0.00486573 | − | 0.0509563i | ||||
\(903\) | 61.2030 | + | 317.552i | 0.0677775 | + | 0.351663i | ||||
\(904\) | −294.108 | − | 231.289i | −0.325341 | − | 0.255851i | ||||
\(905\) | 417.569 | − | 530.982i | 0.461402 | − | 0.586720i | ||||
\(906\) | 65.9731 | − | 12.7153i | 0.0728180 | − | 0.0140345i | ||||
\(907\) | −192.004 | − | 18.3342i | −0.211691 | − | 0.0202141i | −0.0113284 | − | 0.999936i | \(-0.503606\pi\) |
−0.200363 | + | 0.979722i | \(0.564212\pi\) | |||||||
\(908\) | −7.77643 | − | 13.4692i | −0.00856435 | − | 0.0148339i | ||||
\(909\) | 219.086 | + | 126.489i | 0.241018 | + | 0.139152i | ||||
\(910\) | 1305.21 | − | 1832.91i | 1.43430 | − | 2.01419i | ||||
\(911\) | 76.8371 | + | 49.3802i | 0.0843437 | + | 0.0542044i | 0.582133 | − | 0.813094i | \(-0.302218\pi\) |
−0.497789 | + | 0.867298i | \(0.665855\pi\) | |||||||
\(912\) | 579.724 | + | 607.997i | 0.635663 | + | 0.666664i | ||||
\(913\) | −196.807 | − | 89.8789i | −0.215561 | − | 0.0984434i | ||||
\(914\) | 30.7495 | − | 104.723i | 0.0336427 | − | 0.114577i | ||||
\(915\) | 22.9914 | − | 119.291i | 0.0251272 | − | 0.130372i | ||||
\(916\) | 213.248 | − | 184.780i | 0.232803 | − | 0.201725i | ||||
\(917\) | 801.631 | + | 1554.95i | 0.874188 | + | 1.69569i | ||||
\(918\) | −93.8798 | − | 271.248i | −0.102266 | − | 0.295477i | ||||
\(919\) | 623.751 | + | 1558.05i | 0.678728 | + | 1.69538i | 0.717899 | + | 0.696148i | \(0.245104\pi\) |
−0.0391707 | + | 0.999233i | \(0.512472\pi\) | |||||||
\(920\) | 142.134 | + | 135.524i | 0.154493 | + | 0.147309i | ||||
\(921\) | −360.085 | + | 87.3556i | −0.390972 | + | 0.0948487i | ||||
\(922\) | −185.749 | + | 360.302i | −0.201463 | + | 0.390784i | ||||
\(923\) | 77.2489 | + | 11.1067i | 0.0836932 | + | 0.0120333i | ||||
\(924\) | −14.6548 | − | 49.9097i | −0.0158602 | − | 0.0540149i | ||||
\(925\) | 490.270 | − | 46.8151i | 0.530021 | − | 0.0506109i | ||||
\(926\) | −757.139 | − | 1063.25i | −0.817645 | − | 1.14822i | ||||
\(927\) | 15.7441 | + | 330.509i | 0.0169839 | + | 0.356536i | ||||
\(928\) | 200.239 | + | 69.3034i | 0.215775 | + | 0.0746804i | ||||
\(929\) | 741.384 | − | 106.595i | 0.798045 | − | 0.114742i | 0.268784 | − | 0.963201i | \(-0.413378\pi\) |
0.529261 | + | 0.848459i | \(0.322469\pi\) | |||||||
\(930\) | 105.045 | + | 230.017i | 0.112952 | + | 0.247330i | ||||
\(931\) | 1994.28 | + | 798.390i | 2.14208 | + | 0.857561i | ||||
\(932\) | −3.62770 | − | 0.172809i | −0.00389238 | − | 0.000185417i | ||||
\(933\) | −199.615 | + | 128.285i | −0.213949 | + | 0.137497i | ||||
\(934\) | −1215.33 | − | 294.835i | −1.30121 | − | 0.315670i | ||||
\(935\) | 186.740 | − | 215.509i | 0.199722 | − | 0.230491i | ||||
\(936\) | −353.739 | + | 278.183i | −0.377926 | + | 0.297204i | ||||
\(937\) | − | 32.4401i | − | 0.0346213i | −0.999850 | − | 0.0173106i | \(-0.994490\pi\) | ||
0.999850 | − | 0.0173106i | \(-0.00551042\pi\) | |||||||
\(938\) | −1632.42 | + | 506.934i | −1.74032 | + | 0.540442i | ||||
\(939\) | 154.457 | 0.164491 | ||||||||
\(940\) | −131.900 | − | 167.725i | −0.140319 | − | 0.178430i | ||||
\(941\) | 920.790 | + | 797.869i | 0.978523 | + | 0.847895i | 0.988372 | − | 0.152057i | \(-0.0485896\pi\) |
−0.00984895 | + | 0.999951i | \(0.503135\pi\) | |||||||
\(942\) | 125.927 | − | 519.079i | 0.133681 | − | 0.551040i | ||||
\(943\) | 28.2514 | + | 43.9600i | 0.0299590 | + | 0.0466172i | ||||
\(944\) | 96.2931 | − | 2021.44i | 0.102005 | − | 2.14136i | ||||
\(945\) | −89.3209 | + | 223.113i | −0.0945194 | + | 0.236098i | ||||
\(946\) | −93.2014 | + | 42.5637i | −0.0985216 | + | 0.0449933i | ||||
\(947\) | −157.088 | − | 1092.57i | −0.165880 | − | 1.15372i | −0.887291 | − | 0.461210i | \(-0.847415\pi\) |
0.721411 | − | 0.692507i | \(-0.243494\pi\) | |||||||
\(948\) | 45.6105 | − | 131.783i | 0.0481123 | − | 0.139011i | ||||
\(949\) | 856.840 | − | 40.8163i | 0.902887 | − | 0.0430098i | ||||
\(950\) | 411.395 | − | 292.953i | 0.433048 | − | 0.308372i | ||||
\(951\) | −14.3829 | − | 150.625i | −0.0151240 | − | 0.158386i | ||||
\(952\) | −1880.31 | + | 552.110i | −1.97512 | + | 0.579947i | ||||
\(953\) | 59.1432 | − | 411.350i | 0.0620601 | − | 0.431637i | −0.934977 | − | 0.354709i | \(-0.884580\pi\) |
0.997037 | − | 0.0769278i | \(-0.0245111\pi\) | |||||||
\(954\) | −513.017 | − | 264.479i | −0.537754 | − | 0.277231i | ||||
\(955\) | −23.9641 | − | 98.7815i | −0.0250933 | − | 0.103436i | ||||
\(956\) | 161.809 | − | 169.700i | 0.169256 | − | 0.177510i | ||||
\(957\) | 67.3876 | − | 26.9779i | 0.0704154 | − | 0.0281901i | ||||
\(958\) | −766.780 | + | 265.385i | −0.800397 | + | 0.277020i | ||||
\(959\) | −2282.41 | + | 1176.66i | −2.37999 | + | 1.22697i | ||||
\(960\) | 197.799 | + | 228.272i | 0.206041 | + | 0.237784i | ||||
\(961\) | 680.207 | + | 131.099i | 0.707811 | + | 0.136419i | ||||
\(962\) | −2600.39 | − | 763.543i | −2.70311 | − | 0.793704i | ||||
\(963\) | −66.8344 | + | 146.347i | −0.0694022 | + | 0.151970i | ||||
\(964\) | −218.028 | + | 207.889i | −0.226170 | + | 0.215653i | ||||
\(965\) | −221.518 | + | 344.688i | −0.229552 | + | 0.357190i | ||||
\(966\) | 257.213 | + | 183.161i | 0.266267 | + | 0.189608i | ||||
\(967\) | −532.058 | + | 921.551i | −0.550215 | + | 0.953000i | 0.448044 | + | 0.894012i | \(0.352121\pi\) |
−0.998259 | + | 0.0589884i | \(0.981213\pi\) | |||||||
\(968\) | 668.421 | − | 385.913i | 0.690517 | − | 0.398670i | ||||
\(969\) | −105.670 | + | 1106.63i | −0.109051 | + | 1.14203i | ||||
\(970\) | −190.462 | − | 988.210i | −0.196352 | − | 1.01877i | ||||
\(971\) | −294.307 | − | 231.446i | −0.303097 | − | 0.238358i | 0.455013 | − | 0.890485i | \(-0.349635\pi\) |
−0.758110 | + | 0.652127i | \(0.773877\pi\) | |||||||
\(972\) | −8.83303 | + | 11.2321i | −0.00908748 | + | 0.0115557i | ||||
\(973\) | 933.928 | − | 180.000i | 0.959844 | − | 0.184995i | ||||
\(974\) | −77.1737 | − | 7.36919i | −0.0792337 | − | 0.00756591i | ||||
\(975\) | 167.989 | + | 290.965i | 0.172296 | + | 0.298426i | ||||
\(976\) | −284.482 | − | 164.246i | −0.291478 | − | 0.168285i | ||||
\(977\) | −604.999 | + | 849.602i | −0.619242 | + | 0.869603i | −0.998447 | − | 0.0557092i | \(-0.982258\pi\) |
0.379205 | + | 0.925313i | \(0.376197\pi\) | |||||||
\(978\) | 914.023 | + | 587.407i | 0.934584 | + | 0.600621i | ||||
\(979\) | 72.5221 | + | 76.0590i | 0.0740778 | + | 0.0776905i | ||||
\(980\) | −279.480 | − | 127.634i | −0.285184 | − | 0.130239i | ||||
\(981\) | 88.8493 | − | 302.593i | 0.0905702 | − | 0.308454i | ||||
\(982\) | 305.366 | − | 1584.39i | 0.310964 | − | 1.61343i | ||||
\(983\) | −331.035 | + | 286.843i | −0.336760 | + | 0.291804i | −0.806780 | − | 0.590852i | \(-0.798792\pi\) |
0.470021 | + | 0.882655i | \(0.344246\pi\) | |||||||
\(984\) | 39.6804 | + | 76.9692i | 0.0403256 | + | 0.0782207i | ||||
\(985\) | 134.258 | + | 387.912i | 0.136302 | + | 0.393819i | ||||
\(986\) | 302.161 | + | 754.761i | 0.306451 | + | 0.765477i | ||||
\(987\) | 835.187 | + | 796.349i | 0.846187 | + | 0.806838i | ||||
\(988\) | −503.543 | + | 122.158i | −0.509659 | + | 0.123642i | ||||
\(989\) | 53.1365 | − | 103.070i | 0.0537275 | − | 0.104217i | ||||
\(990\) | −75.3674 | − | 10.8362i | −0.0761287 | − | 0.0109457i | ||||
\(991\) | −419.470 | − | 1428.58i | −0.423279 | − | 1.44156i | −0.844968 | − | 0.534817i | \(-0.820381\pi\) |
0.421689 | − | 0.906741i | \(-0.361437\pi\) | |||||||
\(992\) | 234.746 | − | 22.4156i | 0.236639 | − | 0.0225963i | ||||
\(993\) | −596.204 | − | 837.252i | −0.600407 | − | 0.843154i | ||||
\(994\) | −4.31791 | − | 90.6440i | −0.00434397 | − | 0.0911912i | ||||
\(995\) | −988.162 | − | 342.006i | −0.993127 | − | 0.343725i | ||||
\(996\) | −119.409 | + | 17.1684i | −0.119889 | + | 0.0172374i | ||||
\(997\) | 166.927 | + | 365.520i | 0.167430 | + | 0.366620i | 0.974685 | − | 0.223583i | \(-0.0717753\pi\) |
−0.807255 | + | 0.590202i | \(0.799048\pi\) | |||||||
\(998\) | −153.953 | − | 61.6335i | −0.154261 | − | 0.0617570i | ||||
\(999\) | 289.134 | + | 13.7731i | 0.289423 | + | 0.0137869i |
(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 | 201.3.n.b.13.4 | ✓ | 240 | |
67.31 | odd | 66 | inner | 201.3.n.b.31.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
201.3.n.b.13.4 | ✓ | 240 | 1.1 | even | 1 | trivial | |
201.3.n.b.31.4 | yes | 240 | 67.31 | odd | 66 | inner |