Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,4,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 4, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 4);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 4 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), 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: | \(4.07113179040\) |
Analytic rank: | \(0\) |
Dimension: | \(60\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{11})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 16.3 | ||
Character | \(\chi\) | \(=\) | 69.16 |
Dual form | 69.4.e.a.13.3 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{4}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.456676 | + | 0.527032i | −0.161459 | + | 0.186334i | −0.830715 | − | 0.556699i | \(-0.812068\pi\) |
0.669255 | + | 0.743033i | \(0.266613\pi\) | |||||||
\(3\) | 2.52376 | − | 1.62192i | 0.485698 | − | 0.312139i | ||||
\(4\) | 1.06931 | + | 7.43721i | 0.133664 | + | 0.929651i | ||||
\(5\) | 3.32762 | + | 7.28646i | 0.297631 | + | 0.651721i | 0.998077 | − | 0.0619843i | \(-0.0197429\pi\) |
−0.700446 | + | 0.713705i | \(0.747016\pi\) | |||||||
\(6\) | −0.297736 | + | 2.07080i | −0.0202583 | + | 0.140900i | ||||
\(7\) | −13.2035 | + | 3.87690i | −0.712923 | + | 0.209333i | −0.618030 | − | 0.786154i | \(-0.712069\pi\) |
−0.0948930 | + | 0.995487i | \(0.530251\pi\) | |||||||
\(8\) | −9.10125 | − | 5.84902i | −0.402222 | − | 0.258493i | ||||
\(9\) | 3.73874 | − | 8.18669i | 0.138472 | − | 0.303211i | ||||
\(10\) | −5.35984 | − | 1.57379i | −0.169493 | − | 0.0497677i | ||||
\(11\) | 41.1954 | + | 47.5421i | 1.12917 | + | 1.30313i | 0.947493 | + | 0.319776i | \(0.103608\pi\) |
0.181679 | + | 0.983358i | \(0.441847\pi\) | |||||||
\(12\) | 14.7612 | + | 17.0354i | 0.355100 | + | 0.409808i | ||||
\(13\) | 22.9829 | + | 6.74840i | 0.490332 | + | 0.143975i | 0.517546 | − | 0.855655i | \(-0.326845\pi\) |
−0.0272143 | + | 0.999630i | \(0.508664\pi\) | |||||||
\(14\) | 3.98648 | − | 8.72917i | 0.0761022 | − | 0.166641i | ||||
\(15\) | 20.2162 | + | 12.9922i | 0.347986 | + | 0.223637i | ||||
\(16\) | −50.4357 | + | 14.8092i | −0.788057 | + | 0.231395i | ||||
\(17\) | −5.22675 | + | 36.3528i | −0.0745690 | + | 0.518639i | 0.917964 | + | 0.396663i | \(0.129832\pi\) |
−0.992533 | + | 0.121975i | \(0.961077\pi\) | |||||||
\(18\) | 2.60726 | + | 5.70910i | 0.0341409 | + | 0.0747582i | ||||
\(19\) | −14.3690 | − | 99.9383i | −0.173498 | − | 1.20671i | −0.871422 | − | 0.490534i | \(-0.836802\pi\) |
0.697924 | − | 0.716172i | \(-0.254107\pi\) | |||||||
\(20\) | −50.6327 | + | 32.5396i | −0.566090 | + | 0.363804i | ||||
\(21\) | −27.0345 | + | 31.1995i | −0.280924 | + | 0.324204i | ||||
\(22\) | −43.8692 | −0.425134 | ||||||||
\(23\) | 105.613 | − | 31.8254i | 0.957473 | − | 0.288524i | ||||
\(24\) | −32.4560 | −0.276044 | ||||||||
\(25\) | 39.8381 | − | 45.9756i | 0.318705 | − | 0.367805i | ||||
\(26\) | −14.0524 | + | 9.03092i | −0.105996 | + | 0.0681195i | ||||
\(27\) | −3.84250 | − | 26.7252i | −0.0273885 | − | 0.190491i | ||||
\(28\) | −42.9520 | − | 94.0517i | −0.289899 | − | 0.634789i | ||||
\(29\) | 3.74066 | − | 26.0169i | 0.0239525 | − | 0.166593i | −0.974334 | − | 0.225107i | \(-0.927727\pi\) |
0.998287 | + | 0.0585133i | \(0.0186360\pi\) | |||||||
\(30\) | −16.0795 | + | 4.72138i | −0.0978569 | + | 0.0287334i | ||||
\(31\) | −173.549 | − | 111.533i | −1.00550 | − | 0.646193i | −0.0692727 | − | 0.997598i | \(-0.522068\pi\) |
−0.936224 | + | 0.351404i | \(0.885704\pi\) | |||||||
\(32\) | 51.1817 | − | 112.072i | 0.282742 | − | 0.619118i | ||||
\(33\) | 181.077 | + | 53.1690i | 0.955196 | + | 0.280471i | ||||
\(34\) | −16.7722 | − | 19.3561i | −0.0846002 | − | 0.0976338i | ||||
\(35\) | −72.1852 | − | 83.3061i | −0.348615 | − | 0.402323i | ||||
\(36\) | 64.8839 | + | 19.0516i | 0.300389 | + | 0.0882021i | ||||
\(37\) | 116.838 | − | 255.840i | 0.519138 | − | 1.13675i | −0.450627 | − | 0.892713i | \(-0.648799\pi\) |
0.969765 | − | 0.244042i | \(-0.0784733\pi\) | |||||||
\(38\) | 59.2327 | + | 38.0665i | 0.252863 | + | 0.162505i | ||||
\(39\) | 68.9488 | − | 20.2452i | 0.283093 | − | 0.0831237i | ||||
\(40\) | 12.3332 | − | 85.7792i | 0.0487512 | − | 0.339072i | ||||
\(41\) | −33.3880 | − | 73.1096i | −0.127179 | − | 0.278483i | 0.835322 | − | 0.549761i | \(-0.185281\pi\) |
−0.962501 | + | 0.271278i | \(0.912554\pi\) | |||||||
\(42\) | −4.09712 | − | 28.4961i | −0.0150524 | − | 0.104692i | ||||
\(43\) | −289.918 | + | 186.319i | −1.02819 | + | 0.660777i | −0.942038 | − | 0.335505i | \(-0.891093\pi\) |
−0.0861504 | + | 0.996282i | \(0.527457\pi\) | |||||||
\(44\) | −309.530 | + | 357.216i | −1.06053 | + | 1.22392i | ||||
\(45\) | 72.0931 | 0.238822 | ||||||||
\(46\) | −31.4580 | + | 70.1955i | −0.100831 | + | 0.224995i | ||||
\(47\) | 195.806 | 0.607685 | 0.303842 | − | 0.952722i | \(-0.401730\pi\) | ||||
0.303842 | + | 0.952722i | \(0.401730\pi\) | |||||||
\(48\) | −103.268 | + | 119.178i | −0.310531 | + | 0.358371i | ||||
\(49\) | −129.247 | + | 83.0622i | −0.376814 | + | 0.242164i | ||||
\(50\) | 6.03752 | + | 41.9919i | 0.0170767 | + | 0.118771i | ||||
\(51\) | 45.7704 | + | 100.223i | 0.125669 | + | 0.275178i | ||||
\(52\) | −25.6134 | + | 178.145i | −0.0683065 | + | 0.475082i | ||||
\(53\) | 529.887 | − | 155.589i | 1.37331 | − | 0.403241i | 0.489876 | − | 0.871792i | \(-0.337042\pi\) |
0.883437 | + | 0.468551i | \(0.155224\pi\) | |||||||
\(54\) | 15.8398 | + | 10.1796i | 0.0399171 | + | 0.0256532i | ||||
\(55\) | −209.331 | + | 458.371i | −0.513203 | + | 1.12376i | ||||
\(56\) | 142.845 | + | 41.9430i | 0.340865 | + | 0.100087i | ||||
\(57\) | −198.356 | − | 228.915i | −0.460928 | − | 0.531939i | ||||
\(58\) | 12.0035 | + | 13.8527i | 0.0271747 | + | 0.0313612i | ||||
\(59\) | −72.9673 | − | 21.4251i | −0.161009 | − | 0.0472765i | 0.200235 | − | 0.979748i | \(-0.435830\pi\) |
−0.361244 | + | 0.932471i | \(0.617648\pi\) | |||||||
\(60\) | −75.0080 | + | 164.245i | −0.161391 | + | 0.353398i | ||||
\(61\) | 452.362 | + | 290.715i | 0.949492 | + | 0.610202i | 0.921071 | − | 0.389394i | \(-0.127316\pi\) |
0.0284213 | + | 0.999596i | \(0.490952\pi\) | |||||||
\(62\) | 138.038 | − | 40.5315i | 0.282755 | − | 0.0830242i | ||||
\(63\) | −17.6255 | + | 122.588i | −0.0352476 | + | 0.245153i | ||||
\(64\) | −138.998 | − | 304.363i | −0.271480 | − | 0.594458i | ||||
\(65\) | 27.3064 | + | 189.920i | 0.0521069 | + | 0.362411i | ||||
\(66\) | −110.715 | + | 71.1524i | −0.206487 | + | 0.132701i | ||||
\(67\) | 584.182 | − | 674.182i | 1.06521 | − | 1.22932i | 0.0928894 | − | 0.995676i | \(-0.470390\pi\) |
0.972322 | − | 0.233643i | \(-0.0750648\pi\) | |||||||
\(68\) | −275.953 | −0.492120 | ||||||||
\(69\) | 214.924 | − | 251.616i | 0.374983 | − | 0.439000i | ||||
\(70\) | 76.8703 | 0.131254 | ||||||||
\(71\) | −317.836 | + | 366.802i | −0.531270 | + | 0.613118i | −0.956416 | − | 0.292007i | \(-0.905677\pi\) |
0.425147 | + | 0.905124i | \(0.360223\pi\) | |||||||
\(72\) | −81.9113 | + | 52.6412i | −0.134074 | + | 0.0861642i | ||||
\(73\) | 150.836 | + | 1049.09i | 0.241837 | + | 1.68201i | 0.642892 | + | 0.765956i | \(0.277734\pi\) |
−0.401056 | + | 0.916054i | \(0.631357\pi\) | |||||||
\(74\) | 81.4788 | + | 178.414i | 0.127996 | + | 0.280273i | ||||
\(75\) | 25.9729 | − | 180.646i | 0.0399879 | − | 0.278122i | ||||
\(76\) | 727.897 | − | 213.730i | 1.09862 | − | 0.322585i | ||||
\(77\) | −728.241 | − | 468.012i | −1.07780 | − | 0.692661i | ||||
\(78\) | −20.8174 | + | 45.5837i | −0.0302193 | + | 0.0661711i | ||||
\(79\) | 244.346 | + | 71.7465i | 0.347988 | + | 0.102179i | 0.451056 | − | 0.892496i | \(-0.351048\pi\) |
−0.103067 | + | 0.994674i | \(0.532866\pi\) | |||||||
\(80\) | −275.738 | − | 318.218i | −0.385355 | − | 0.444723i | ||||
\(81\) | −53.0437 | − | 61.2157i | −0.0727623 | − | 0.0839722i | ||||
\(82\) | 53.7786 | + | 15.7908i | 0.0724251 | + | 0.0212659i | ||||
\(83\) | 65.6488 | − | 143.751i | 0.0868180 | − | 0.190105i | −0.861243 | − | 0.508193i | \(-0.830314\pi\) |
0.948061 | + | 0.318088i | \(0.103041\pi\) | |||||||
\(84\) | −260.945 | − | 167.699i | −0.338946 | − | 0.217827i | ||||
\(85\) | −282.276 | + | 82.8838i | −0.360202 | + | 0.105765i | ||||
\(86\) | 34.2025 | − | 237.884i | 0.0428855 | − | 0.298275i | ||||
\(87\) | −32.7568 | − | 71.7274i | −0.0403666 | − | 0.0883906i | ||||
\(88\) | −96.8556 | − | 673.645i | −0.117328 | − | 0.816032i | ||||
\(89\) | −604.269 | + | 388.340i | −0.719690 | + | 0.462516i | −0.848529 | − | 0.529149i | \(-0.822511\pi\) |
0.128839 | + | 0.991665i | \(0.458875\pi\) | |||||||
\(90\) | −32.9232 | + | 37.9954i | −0.0385601 | + | 0.0445007i | ||||
\(91\) | −329.619 | −0.379708 | ||||||||
\(92\) | 349.625 | + | 751.436i | 0.396206 | + | 0.851550i | ||||
\(93\) | −618.896 | −0.690070 | ||||||||
\(94\) | −89.4197 | + | 103.196i | −0.0981164 | + | 0.113232i | ||||
\(95\) | 680.382 | − | 437.255i | 0.734797 | − | 0.472226i | ||||
\(96\) | −52.6022 | − | 365.857i | −0.0559239 | − | 0.388959i | ||||
\(97\) | −98.3111 | − | 215.271i | −0.102907 | − | 0.225335i | 0.851174 | − | 0.524884i | \(-0.175891\pi\) |
−0.954081 | + | 0.299549i | \(0.903164\pi\) | |||||||
\(98\) | 15.2477 | − | 106.050i | 0.0157168 | − | 0.109313i | ||||
\(99\) | 543.231 | − | 159.507i | 0.551482 | − | 0.161930i | ||||
\(100\) | 384.529 | + | 247.122i | 0.384529 | + | 0.247122i | ||||
\(101\) | 344.778 | − | 754.959i | 0.339671 | − | 0.743775i | −0.660303 | − | 0.750999i | \(-0.729572\pi\) |
0.999974 | + | 0.00722413i | \(0.00229953\pi\) | |||||||
\(102\) | −73.7231 | − | 21.6471i | −0.0715655 | − | 0.0210135i | ||||
\(103\) | 89.8835 | + | 103.731i | 0.0859852 | + | 0.0992323i | 0.797112 | − | 0.603832i | \(-0.206360\pi\) |
−0.711127 | + | 0.703064i | \(0.751815\pi\) | |||||||
\(104\) | −169.702 | − | 195.846i | −0.160006 | − | 0.184657i | ||||
\(105\) | −317.294 | − | 93.1660i | −0.294902 | − | 0.0865911i | ||||
\(106\) | −159.986 | + | 350.321i | −0.146597 | + | 0.321002i | ||||
\(107\) | −1472.86 | − | 946.548i | −1.33072 | − | 0.855199i | −0.334524 | − | 0.942387i | \(-0.608575\pi\) |
−0.996192 | + | 0.0871885i | \(0.972212\pi\) | |||||||
\(108\) | 194.652 | − | 57.1549i | 0.173429 | − | 0.0509235i | ||||
\(109\) | −21.7368 | + | 151.183i | −0.0191010 | + | 0.132850i | −0.997141 | − | 0.0755688i | \(-0.975923\pi\) |
0.978040 | + | 0.208419i | \(0.0668318\pi\) | |||||||
\(110\) | −145.980 | − | 319.651i | −0.126533 | − | 0.277069i | ||||
\(111\) | −120.081 | − | 835.183i | −0.102681 | − | 0.714162i | ||||
\(112\) | 608.514 | − | 391.069i | 0.513386 | − | 0.329933i | ||||
\(113\) | 189.477 | − | 218.668i | 0.157739 | − | 0.182040i | −0.671379 | − | 0.741114i | \(-0.734298\pi\) |
0.829118 | + | 0.559074i | \(0.188843\pi\) | |||||||
\(114\) | 211.230 | 0.173540 | ||||||||
\(115\) | 583.335 | + | 663.644i | 0.473011 | + | 0.538131i | ||||
\(116\) | 197.493 | 0.158075 | ||||||||
\(117\) | 141.174 | − | 162.924i | 0.111552 | − | 0.128738i | ||||
\(118\) | 44.6141 | − | 28.6718i | 0.0348056 | − | 0.0223682i | ||||
\(119\) | −71.9250 | − | 500.249i | −0.0554063 | − | 0.385359i | ||||
\(120\) | −108.001 | − | 236.490i | −0.0821593 | − | 0.179904i | ||||
\(121\) | −373.763 | + | 2599.58i | −0.280814 | + | 1.95310i | ||||
\(122\) | −359.799 | + | 105.647i | −0.267006 | + | 0.0784000i | ||||
\(123\) | −202.842 | − | 130.358i | −0.148696 | − | 0.0955611i | ||||
\(124\) | 643.919 | − | 1409.99i | 0.466336 | − | 1.02113i | ||||
\(125\) | 1428.30 | + | 419.386i | 1.02201 | + | 0.300088i | ||||
\(126\) | −56.5586 | − | 65.2721i | −0.0399892 | − | 0.0461500i | ||||
\(127\) | −955.856 | − | 1103.12i | −0.667862 | − | 0.770754i | 0.316178 | − | 0.948700i | \(-0.397600\pi\) |
−0.984040 | + | 0.177946i | \(0.943055\pi\) | |||||||
\(128\) | 1169.61 | + | 343.429i | 0.807656 | + | 0.237149i | ||||
\(129\) | −429.489 | + | 940.450i | −0.293135 | + | 0.641876i | ||||
\(130\) | −112.564 | − | 72.3407i | −0.0759427 | − | 0.0488054i | ||||
\(131\) | −2140.29 | + | 628.447i | −1.42747 | + | 0.419143i | −0.902024 | − | 0.431685i | \(-0.857919\pi\) |
−0.525445 | + | 0.850828i | \(0.676101\pi\) | |||||||
\(132\) | −201.802 | + | 1403.56i | −0.133065 | + | 0.925487i | ||||
\(133\) | 577.172 | + | 1263.83i | 0.376294 | + | 0.823970i | ||||
\(134\) | 88.5337 | + | 615.765i | 0.0570757 | + | 0.396970i | ||||
\(135\) | 181.946 | − | 116.929i | 0.115995 | − | 0.0745458i | ||||
\(136\) | 260.198 | − | 300.285i | 0.164058 | − | 0.189333i | ||||
\(137\) | 283.489 | 0.176789 | 0.0883947 | − | 0.996086i | \(-0.471826\pi\) | ||||
0.0883947 | + | 0.996086i | \(0.471826\pi\) | |||||||
\(138\) | 34.4592 | + | 228.179i | 0.0212562 | + | 0.140753i | ||||
\(139\) | −2029.03 | −1.23813 | −0.619065 | − | 0.785340i | \(-0.712488\pi\) | ||||
−0.619065 | + | 0.785340i | \(0.712488\pi\) | |||||||
\(140\) | 542.377 | − | 625.936i | 0.327423 | − | 0.377866i | ||||
\(141\) | 494.166 | − | 317.582i | 0.295151 | − | 0.189682i | ||||
\(142\) | −48.1685 | − | 335.019i | −0.0284663 | − | 0.197987i | ||||
\(143\) | 625.959 | + | 1370.66i | 0.366051 | + | 0.801541i | ||||
\(144\) | −67.3269 | + | 468.269i | −0.0389623 | + | 0.270989i | ||||
\(145\) | 202.018 | − | 59.3180i | 0.115701 | − | 0.0339730i | ||||
\(146\) | −621.788 | − | 399.599i | −0.352462 | − | 0.226514i | ||||
\(147\) | −191.469 | + | 419.258i | −0.107429 | + | 0.235237i | ||||
\(148\) | 2027.67 | + | 595.379i | 1.12617 | + | 0.330675i | ||||
\(149\) | 1825.19 | + | 2106.38i | 1.00353 | + | 1.15813i | 0.987397 | + | 0.158261i | \(0.0505886\pi\) |
0.0161284 | + | 0.999870i | \(0.494866\pi\) | |||||||
\(150\) | 83.3449 | + | 96.1851i | 0.0453672 | + | 0.0523566i | ||||
\(151\) | −2019.65 | − | 593.022i | −1.08845 | − | 0.319599i | −0.312198 | − | 0.950017i | \(-0.601065\pi\) |
−0.776256 | + | 0.630418i | \(0.782883\pi\) | |||||||
\(152\) | −453.766 | + | 993.608i | −0.242140 | + | 0.530212i | ||||
\(153\) | 278.068 | + | 178.703i | 0.146931 | + | 0.0944269i | ||||
\(154\) | 579.228 | − | 170.077i | 0.303088 | − | 0.0889946i | ||||
\(155\) | 235.178 | − | 1635.70i | 0.121871 | − | 0.847630i | ||||
\(156\) | 224.295 | + | 491.138i | 0.115115 | + | 0.252067i | ||||
\(157\) | 140.183 | + | 974.992i | 0.0712598 | + | 0.495623i | 0.993928 | + | 0.110029i | \(0.0350944\pi\) |
−0.922669 | + | 0.385594i | \(0.873997\pi\) | |||||||
\(158\) | −149.400 | + | 96.0134i | −0.0752253 | + | 0.0483444i | ||||
\(159\) | 1084.96 | − | 1252.10i | 0.541148 | − | 0.624518i | ||||
\(160\) | 986.924 | 0.487645 | ||||||||
\(161\) | −1271.08 | + | 829.660i | −0.622207 | + | 0.406126i | ||||
\(162\) | 56.4865 | 0.0273950 | ||||||||
\(163\) | 1795.68 | − | 2072.32i | 0.862873 | − | 0.995809i | −0.137113 | − | 0.990555i | \(-0.543782\pi\) |
0.999986 | − | 0.00525357i | \(-0.00167227\pi\) | |||||||
\(164\) | 508.029 | − | 326.490i | 0.241893 | − | 0.155455i | ||||
\(165\) | 215.141 | + | 1496.34i | 0.101507 | + | 0.705998i | ||||
\(166\) | 45.7811 | + | 100.247i | 0.0214054 | + | 0.0468714i | ||||
\(167\) | −333.129 | + | 2316.96i | −0.154361 | + | 1.07360i | 0.754438 | + | 0.656371i | \(0.227909\pi\) |
−0.908799 | + | 0.417234i | \(0.863000\pi\) | |||||||
\(168\) | 428.534 | − | 125.829i | 0.196798 | − | 0.0577852i | ||||
\(169\) | −1365.56 | − | 877.592i | −0.621556 | − | 0.399450i | ||||
\(170\) | 85.2264 | − | 186.620i | 0.0384504 | − | 0.0841946i | ||||
\(171\) | −871.885 | − | 256.009i | −0.389911 | − | 0.114488i | ||||
\(172\) | −1695.71 | − | 1956.95i | −0.751723 | − | 0.867535i | ||||
\(173\) | 902.761 | + | 1041.84i | 0.396738 | + | 0.457860i | 0.918611 | − | 0.395163i | \(-0.129312\pi\) |
−0.521873 | + | 0.853023i | \(0.674767\pi\) | |||||||
\(174\) | 52.7619 | + | 15.4923i | 0.0229878 | + | 0.00674981i | ||||
\(175\) | −347.760 | + | 761.488i | −0.150218 | + | 0.328932i | ||||
\(176\) | −2781.78 | − | 1787.74i | −1.19139 | − | 0.765660i | ||||
\(177\) | −218.902 | + | 64.2754i | −0.0929586 | + | 0.0272951i | ||||
\(178\) | 71.2874 | − | 495.815i | 0.0300181 | − | 0.208780i | ||||
\(179\) | −1504.04 | − | 3293.40i | −0.628031 | − | 1.37520i | −0.909532 | − | 0.415635i | \(-0.863559\pi\) |
0.281501 | − | 0.959561i | \(-0.409168\pi\) | |||||||
\(180\) | 77.0897 | + | 536.171i | 0.0319218 | + | 0.222021i | ||||
\(181\) | −1479.98 | + | 951.125i | −0.607768 | + | 0.390589i | −0.808019 | − | 0.589156i | \(-0.799460\pi\) |
0.200252 | + | 0.979744i | \(0.435824\pi\) | |||||||
\(182\) | 150.529 | − | 173.720i | 0.0613074 | − | 0.0707525i | ||||
\(183\) | 1613.17 | 0.651634 | ||||||||
\(184\) | −1147.36 | − | 328.082i | −0.459698 | − | 0.131449i | ||||
\(185\) | 2252.96 | 0.895358 | ||||||||
\(186\) | 282.635 | − | 326.178i | 0.111418 | − | 0.128583i | ||||
\(187\) | −1943.61 | + | 1249.08i | −0.760057 | + | 0.488459i | ||||
\(188\) | 209.377 | + | 1456.25i | 0.0812253 | + | 0.564935i | ||||
\(189\) | 154.345 | + | 337.969i | 0.0594020 | + | 0.130072i | ||||
\(190\) | −80.2667 | + | 558.267i | −0.0306482 | + | 0.213163i | ||||
\(191\) | 4236.00 | − | 1243.80i | 1.60474 | − | 0.471195i | 0.647882 | − | 0.761741i | \(-0.275655\pi\) |
0.956861 | + | 0.290545i | \(0.0938367\pi\) | |||||||
\(192\) | −844.450 | − | 542.695i | −0.317411 | − | 0.203988i | ||||
\(193\) | 697.488 | − | 1527.29i | 0.260136 | − | 0.569619i | −0.733826 | − | 0.679337i | \(-0.762267\pi\) |
0.993963 | + | 0.109718i | \(0.0349947\pi\) | |||||||
\(194\) | 158.351 | + | 46.4961i | 0.0586029 | + | 0.0172073i | ||||
\(195\) | 376.951 | + | 435.025i | 0.138431 | + | 0.159758i | ||||
\(196\) | −755.956 | − | 872.420i | −0.275494 | − | 0.317937i | ||||
\(197\) | −1012.83 | − | 297.392i | −0.366299 | − | 0.107555i | 0.0934031 | − | 0.995628i | \(-0.470225\pi\) |
−0.459702 | + | 0.888073i | \(0.652044\pi\) | |||||||
\(198\) | −164.015 | + | 359.143i | −0.0588690 | + | 0.128905i | ||||
\(199\) | −4547.71 | − | 2922.64i | −1.61999 | − | 1.04111i | −0.955999 | − | 0.293371i | \(-0.905223\pi\) |
−0.663996 | − | 0.747736i | \(-0.731141\pi\) | |||||||
\(200\) | −631.489 | + | 185.422i | −0.223265 | + | 0.0655565i | ||||
\(201\) | 380.865 | − | 2648.97i | 0.133652 | − | 0.929572i | ||||
\(202\) | 240.436 | + | 526.481i | 0.0837476 | + | 0.183382i | ||||
\(203\) | 51.4750 | + | 358.016i | 0.0177972 | + | 0.123782i | ||||
\(204\) | −696.438 | + | 447.574i | −0.239022 | + | 0.153610i | ||||
\(205\) | 421.608 | − | 486.561i | 0.143641 | − | 0.165770i | ||||
\(206\) | −95.7172 | −0.0323735 | ||||||||
\(207\) | 134.315 | − | 983.609i | 0.0450992 | − | 0.330268i | ||||
\(208\) | −1259.10 | −0.419725 | ||||||||
\(209\) | 4159.34 | − | 4800.13i | 1.37659 | − | 1.58867i | ||||
\(210\) | 194.002 | − | 124.678i | 0.0637496 | − | 0.0409694i | ||||
\(211\) | −252.886 | − | 1758.86i | −0.0825089 | − | 0.573862i | −0.988575 | − | 0.150727i | \(-0.951839\pi\) |
0.906067 | − | 0.423135i | \(-0.139070\pi\) | |||||||
\(212\) | 1723.76 | + | 3774.51i | 0.558435 | + | 1.22280i | ||||
\(213\) | −207.217 | + | 1441.22i | −0.0666585 | + | 0.463620i | ||||
\(214\) | 1171.48 | − | 343.978i | 0.374209 | − | 0.109878i | ||||
\(215\) | −2322.34 | − | 1492.48i | −0.736663 | − | 0.473425i | ||||
\(216\) | −121.345 | + | 265.707i | −0.0382243 | + | 0.0836995i | ||||
\(217\) | 2723.87 | + | 799.800i | 0.852111 | + | 0.250202i | ||||
\(218\) | −69.7516 | − | 80.4976i | −0.0216705 | − | 0.0250091i | ||||
\(219\) | 2082.22 | + | 2403.01i | 0.642481 | + | 0.741462i | ||||
\(220\) | −3632.84 | − | 1066.70i | −1.11330 | − | 0.326894i | ||||
\(221\) | −365.450 | + | 800.223i | −0.111234 | + | 0.243569i | ||||
\(222\) | 495.006 | + | 318.121i | 0.149652 | + | 0.0961752i | ||||
\(223\) | 2632.43 | − | 772.950i | 0.790494 | − | 0.232110i | 0.138529 | − | 0.990358i | \(-0.455763\pi\) |
0.651966 | + | 0.758248i | \(0.273945\pi\) | |||||||
\(224\) | −241.285 | + | 1678.18i | −0.0719713 | + | 0.500571i | ||||
\(225\) | −227.444 | − | 498.033i | −0.0673908 | − | 0.147565i | ||||
\(226\) | 28.7155 | + | 199.721i | 0.00845188 | + | 0.0587841i | ||||
\(227\) | 1020.67 | − | 655.947i | 0.298434 | − | 0.191792i | −0.382851 | − | 0.923810i | \(-0.625058\pi\) |
0.681285 | + | 0.732018i | \(0.261421\pi\) | |||||||
\(228\) | 1490.38 | − | 1720.00i | 0.432908 | − | 0.499603i | ||||
\(229\) | 2913.11 | 0.840626 | 0.420313 | − | 0.907379i | \(-0.361920\pi\) | ||||
0.420313 | + | 0.907379i | \(0.361920\pi\) | |||||||
\(230\) | −616.157 | + | 4.36608i | −0.176644 | + | 0.00125170i | ||||
\(231\) | −2596.99 | −0.739693 | ||||||||
\(232\) | −186.218 | + | 214.907i | −0.0526974 | + | 0.0608161i | ||||
\(233\) | −5877.09 | + | 3776.98i | −1.65245 | + | 1.06197i | −0.724490 | + | 0.689285i | \(0.757925\pi\) |
−0.927960 | + | 0.372680i | \(0.878439\pi\) | |||||||
\(234\) | 21.3952 | + | 148.807i | 0.00597712 | + | 0.0415718i | ||||
\(235\) | 651.566 | + | 1426.73i | 0.180866 | + | 0.396041i | ||||
\(236\) | 81.3185 | − | 565.583i | 0.0224296 | − | 0.156001i | ||||
\(237\) | 733.038 | − | 215.239i | 0.200911 | − | 0.0589929i | ||||
\(238\) | 296.494 | + | 190.545i | 0.0807514 | + | 0.0518958i | ||||
\(239\) | 914.118 | − | 2001.64i | 0.247403 | − | 0.541738i | −0.744665 | − | 0.667439i | \(-0.767391\pi\) |
0.992068 | + | 0.125701i | \(0.0401180\pi\) | |||||||
\(240\) | −1212.02 | − | 355.881i | −0.325982 | − | 0.0957169i | ||||
\(241\) | −3434.54 | − | 3963.67i | −0.918000 | − | 1.05943i | −0.998036 | − | 0.0626368i | \(-0.980049\pi\) |
0.0800362 | − | 0.996792i | \(-0.474496\pi\) | |||||||
\(242\) | −1199.37 | − | 1384.15i | −0.318590 | − | 0.367672i | ||||
\(243\) | −233.157 | − | 68.4610i | −0.0615515 | − | 0.0180732i | ||||
\(244\) | −1678.40 | + | 3675.17i | −0.440362 | + | 0.964258i | ||||
\(245\) | −1035.32 | − | 665.357i | −0.269975 | − | 0.173502i | ||||
\(246\) | 161.336 | − | 47.3725i | 0.0418146 | − | 0.0122779i | ||||
\(247\) | 344.183 | − | 2393.84i | 0.0886632 | − | 0.616666i | ||||
\(248\) | 927.155 | + | 2030.19i | 0.237397 | + | 0.519827i | ||||
\(249\) | −67.4709 | − | 469.270i | −0.0171719 | − | 0.119433i | ||||
\(250\) | −873.300 | + | 561.236i | −0.220929 | + | 0.141983i | ||||
\(251\) | −1256.22 | + | 1449.76i | −0.315905 | + | 0.364573i | −0.891389 | − | 0.453240i | \(-0.850268\pi\) |
0.575484 | + | 0.817813i | \(0.304814\pi\) | |||||||
\(252\) | −930.558 | −0.232618 | ||||||||
\(253\) | 5863.83 | + | 3710.01i | 1.45714 | + | 0.921922i | ||||
\(254\) | 1017.89 | 0.251450 | ||||||||
\(255\) | −577.967 | + | 667.009i | −0.141936 | + | 0.163803i | ||||
\(256\) | 1536.73 | − | 987.600i | 0.375179 | − | 0.241113i | ||||
\(257\) | 582.016 | + | 4048.01i | 0.141265 | + | 0.982521i | 0.929940 | + | 0.367711i | \(0.119858\pi\) |
−0.788675 | + | 0.614810i | \(0.789233\pi\) | |||||||
\(258\) | −299.510 | − | 655.835i | −0.0722739 | − | 0.158258i | ||||
\(259\) | −550.810 | + | 3830.97i | −0.132145 | + | 0.919091i | ||||
\(260\) | −1383.28 | + | 406.167i | −0.329951 | + | 0.0968823i | ||||
\(261\) | −199.007 | − | 127.894i | −0.0471962 | − | 0.0303311i | ||||
\(262\) | 646.209 | − | 1415.00i | 0.152378 | − | 0.333661i | ||||
\(263\) | 4217.75 | + | 1238.44i | 0.988888 | + | 0.290364i | 0.735888 | − | 0.677103i | \(-0.236765\pi\) |
0.252999 | + | 0.967466i | \(0.418583\pi\) | |||||||
\(264\) | −1337.04 | − | 1543.03i | −0.311701 | − | 0.359723i | ||||
\(265\) | 2896.95 | + | 3343.26i | 0.671541 | + | 0.775000i | ||||
\(266\) | −929.660 | − | 272.973i | −0.214290 | − | 0.0629212i | ||||
\(267\) | −895.173 | + | 1960.15i | −0.205182 | + | 0.449287i | ||||
\(268\) | 5638.70 | + | 3623.77i | 1.28522 | + | 0.825960i | ||||
\(269\) | −4678.41 | + | 1373.71i | −1.06040 | + | 0.311362i | −0.765013 | − | 0.644015i | \(-0.777267\pi\) |
−0.295388 | + | 0.955377i | \(0.595449\pi\) | |||||||
\(270\) | −21.4647 | + | 149.290i | −0.00483814 | + | 0.0336500i | ||||
\(271\) | 1873.57 | + | 4102.54i | 0.419967 | + | 0.919599i | 0.994849 | + | 0.101363i | \(0.0323204\pi\) |
−0.574883 | + | 0.818236i | \(0.694952\pi\) | |||||||
\(272\) | −274.744 | − | 1910.88i | −0.0612455 | − | 0.425972i | ||||
\(273\) | −831.878 | + | 534.616i | −0.184423 | + | 0.118522i | ||||
\(274\) | −129.463 | + | 149.408i | −0.0285443 | + | 0.0329419i | ||||
\(275\) | 3826.92 | 0.839171 | ||||||||
\(276\) | 2101.14 | + | 1329.38i | 0.458238 | + | 0.289925i | ||||
\(277\) | 1619.27 | 0.351238 | 0.175619 | − | 0.984458i | \(-0.443807\pi\) | ||||
0.175619 | + | 0.984458i | \(0.443807\pi\) | |||||||
\(278\) | 926.610 | − | 1069.36i | 0.199908 | − | 0.230706i | ||||
\(279\) | −1561.94 | + | 1003.80i | −0.335165 | + | 0.215398i | ||||
\(280\) | 169.716 | + | 1180.40i | 0.0362232 | + | 0.251938i | ||||
\(281\) | −863.874 | − | 1891.62i | −0.183396 | − | 0.401582i | 0.795496 | − | 0.605959i | \(-0.207210\pi\) |
−0.978892 | + | 0.204377i | \(0.934483\pi\) | |||||||
\(282\) | −58.2983 | + | 405.474i | −0.0123107 | + | 0.0856227i | ||||
\(283\) | 1826.39 | − | 536.276i | 0.383631 | − | 0.112644i | −0.0842298 | − | 0.996446i | \(-0.526843\pi\) |
0.467861 | + | 0.883802i | \(0.345025\pi\) | |||||||
\(284\) | −3067.84 | − | 1971.58i | −0.640997 | − | 0.411944i | ||||
\(285\) | 1007.93 | − | 2207.05i | 0.209490 | − | 0.458718i | ||||
\(286\) | −1008.24 | − | 296.047i | −0.208457 | − | 0.0612084i | ||||
\(287\) | 724.279 | + | 835.862i | 0.148965 | + | 0.171914i | ||||
\(288\) | −726.147 | − | 838.018i | −0.148572 | − | 0.171461i | ||||
\(289\) | 3419.78 | + | 1004.14i | 0.696067 | + | 0.204384i | ||||
\(290\) | −60.9945 | + | 133.559i | −0.0123508 | + | 0.0270444i | ||||
\(291\) | −597.267 | − | 383.840i | −0.120318 | − | 0.0773234i | ||||
\(292\) | −7641.01 | + | 2243.60i | −1.53136 | + | 0.449647i | ||||
\(293\) | 85.0431 | − | 591.488i | 0.0169566 | − | 0.117936i | −0.979585 | − | 0.201030i | \(-0.935571\pi\) |
0.996542 | + | 0.0830943i | \(0.0264803\pi\) | |||||||
\(294\) | −133.523 | − | 292.375i | −0.0264872 | − | 0.0579989i | ||||
\(295\) | −86.6937 | − | 602.968i | −0.0171102 | − | 0.119004i | ||||
\(296\) | −2559.79 | + | 1645.08i | −0.502651 | + | 0.323034i | ||||
\(297\) | 1112.28 | − | 1283.64i | 0.217309 | − | 0.250788i | ||||
\(298\) | −1943.65 | −0.377828 | ||||||||
\(299\) | 2642.07 | − | 18.7217i | 0.511020 | − | 0.00362108i | ||||
\(300\) | 1371.27 | 0.263901 | ||||||||
\(301\) | 3105.60 | − | 3584.05i | 0.594697 | − | 0.686317i | ||||
\(302\) | 1234.87 | − | 793.600i | 0.235293 | − | 0.151214i | ||||
\(303\) | −354.347 | − | 2464.54i | −0.0671839 | − | 0.467274i | ||||
\(304\) | 2204.72 | + | 4827.66i | 0.415952 | + | 0.910807i | ||||
\(305\) | −613.000 | + | 4263.51i | −0.115083 | + | 0.800419i | ||||
\(306\) | −221.169 | + | 64.9412i | −0.0413183 | + | 0.0121322i | ||||
\(307\) | −8610.82 | − | 5533.84i | −1.60080 | − | 1.02877i | −0.966833 | − | 0.255411i | \(-0.917789\pi\) |
−0.633967 | − | 0.773360i | \(-0.718574\pi\) | |||||||
\(308\) | 2701.99 | − | 5916.53i | 0.499870 | − | 1.09456i | ||||
\(309\) | 395.088 | + | 116.008i | 0.0727371 | + | 0.0213575i | ||||
\(310\) | 754.667 | + | 870.932i | 0.138265 | + | 0.159567i | ||||
\(311\) | −6405.59 | − | 7392.44i | −1.16793 | − | 1.34787i | −0.925977 | − | 0.377581i | \(-0.876756\pi\) |
−0.241957 | − | 0.970287i | \(-0.577789\pi\) | |||||||
\(312\) | −745.935 | − | 219.026i | −0.135353 | − | 0.0397433i | ||||
\(313\) | −458.840 | + | 1004.72i | −0.0828599 | + | 0.181438i | −0.946527 | − | 0.322625i | \(-0.895435\pi\) |
0.863667 | + | 0.504063i | \(0.168162\pi\) | |||||||
\(314\) | −577.870 | − | 371.375i | −0.103857 | − | 0.0667449i | ||||
\(315\) | −951.882 | + | 279.498i | −0.170262 | + | 0.0499934i | ||||
\(316\) | −272.312 | + | 1893.97i | −0.0484770 | + | 0.337165i | ||||
\(317\) | −2542.26 | − | 5566.78i | −0.450435 | − | 0.986314i | −0.989564 | − | 0.144091i | \(-0.953974\pi\) |
0.539130 | − | 0.842223i | \(-0.318753\pi\) | |||||||
\(318\) | 164.427 | + | 1143.61i | 0.0289956 | + | 0.201669i | ||||
\(319\) | 1390.99 | − | 893.937i | 0.244140 | − | 0.156899i | ||||
\(320\) | 1755.20 | − | 2025.60i | 0.306620 | − | 0.353858i | ||||
\(321\) | −5252.37 | −0.913267 | ||||||||
\(322\) | 143.215 | − | 1048.79i | 0.0247859 | − | 0.181511i | ||||
\(323\) | 3708.14 | 0.638782 | ||||||||
\(324\) | 398.554 | − | 459.956i | 0.0683391 | − | 0.0788675i | ||||
\(325\) | 1225.86 | − | 787.811i | 0.209226 | − | 0.134461i | ||||
\(326\) | 272.138 | + | 1892.76i | 0.0462341 | + | 0.321565i | ||||
\(327\) | 190.348 | + | 416.805i | 0.0321905 | + | 0.0704873i | ||||
\(328\) | −123.747 | + | 860.676i | −0.0208316 | + | 0.144887i | ||||
\(329\) | −2585.32 | + | 759.120i | −0.433233 | + | 0.127209i | ||||
\(330\) | −886.867 | − | 569.955i | −0.147941 | − | 0.0950757i | ||||
\(331\) | −1665.64 | + | 3647.23i | −0.276591 | + | 0.605650i | −0.996041 | − | 0.0888943i | \(-0.971667\pi\) |
0.719450 | + | 0.694544i | \(0.244394\pi\) | |||||||
\(332\) | 1139.30 | + | 334.530i | 0.188336 | + | 0.0553003i | ||||
\(333\) | −1657.66 | − | 1913.04i | −0.272790 | − | 0.314816i | ||||
\(334\) | −1068.98 | − | 1233.67i | −0.175126 | − | 0.202106i | ||||
\(335\) | 6856.33 | + | 2013.20i | 1.11821 | + | 0.328337i | ||||
\(336\) | 901.462 | − | 1973.93i | 0.146365 | − | 0.320496i | ||||
\(337\) | 3030.00 | + | 1947.26i | 0.489776 | + | 0.314760i | 0.762115 | − | 0.647441i | \(-0.224161\pi\) |
−0.272339 | + | 0.962201i | \(0.587797\pi\) | |||||||
\(338\) | 1086.14 | − | 318.919i | 0.174787 | − | 0.0513222i | ||||
\(339\) | 123.532 | − | 859.181i | 0.0197915 | − | 0.137653i | ||||
\(340\) | −918.264 | − | 2010.72i | −0.146470 | − | 0.320725i | ||||
\(341\) | −1846.91 | − | 12845.6i | −0.293302 | − | 2.03996i | ||||
\(342\) | 533.094 | − | 342.599i | 0.0842878 | − | 0.0541685i | ||||
\(343\) | 4475.44 | − | 5164.93i | 0.704522 | − | 0.813062i | ||||
\(344\) | 3728.40 | 0.584366 | ||||||||
\(345\) | 2548.58 | + | 728.754i | 0.397712 | + | 0.113724i | ||||
\(346\) | −961.353 | −0.149372 | ||||||||
\(347\) | −3873.11 | + | 4469.81i | −0.599192 | + | 0.691504i | −0.971617 | − | 0.236558i | \(-0.923981\pi\) |
0.372426 | + | 0.928062i | \(0.378526\pi\) | |||||||
\(348\) | 498.424 | − | 320.318i | 0.0767769 | − | 0.0493415i | ||||
\(349\) | 134.032 | + | 932.212i | 0.0205575 | + | 0.142980i | 0.997515 | − | 0.0704530i | \(-0.0224445\pi\) |
−0.976958 | + | 0.213433i | \(0.931535\pi\) | |||||||
\(350\) | −242.515 | − | 531.034i | −0.0370371 | − | 0.0810999i | ||||
\(351\) | 92.0402 | − | 640.154i | 0.0139964 | − | 0.0973472i | ||||
\(352\) | 7436.61 | − | 2183.59i | 1.12606 | − | 0.330641i | ||||
\(353\) | 2188.80 | + | 1406.66i | 0.330024 | + | 0.212093i | 0.695150 | − | 0.718865i | \(-0.255338\pi\) |
−0.365127 | + | 0.930958i | \(0.618974\pi\) | |||||||
\(354\) | 66.0920 | − | 144.721i | 0.00992303 | − | 0.0217284i | ||||
\(355\) | −3730.32 | − | 1095.32i | −0.557704 | − | 0.163757i | ||||
\(356\) | −3534.31 | − | 4078.82i | −0.526175 | − | 0.607238i | ||||
\(357\) | −992.887 | − | 1145.85i | −0.147196 | − | 0.169874i | ||||
\(358\) | 2422.59 | + | 711.336i | 0.357647 | + | 0.105015i | ||||
\(359\) | −2577.16 | + | 5643.20i | −0.378879 | + | 0.829629i | 0.620103 | + | 0.784520i | \(0.287091\pi\) |
−0.998982 | + | 0.0451089i | \(0.985637\pi\) | |||||||
\(360\) | −656.137 | − | 421.674i | −0.0960596 | − | 0.0617338i | ||||
\(361\) | −3200.04 | + | 939.615i | −0.466545 | + | 0.136990i | ||||
\(362\) | 174.598 | − | 1214.35i | 0.0253498 | − | 0.176312i | ||||
\(363\) | 3273.03 | + | 7166.93i | 0.473249 | + | 1.03627i | ||||
\(364\) | −352.464 | − | 2451.44i | −0.0507531 | − | 0.352996i | ||||
\(365\) | −7142.23 | + | 4590.03i | −1.02422 | + | 0.658228i | ||||
\(366\) | −736.697 | + | 850.194i | −0.105212 | + | 0.121422i | ||||
\(367\) | 158.916 | 0.0226031 | 0.0113016 | − | 0.999936i | \(-0.496403\pi\) | ||||
0.0113016 | + | 0.999936i | \(0.496403\pi\) | |||||||
\(368\) | −4855.36 | + | 3169.19i | −0.687780 | + | 0.448928i | ||||
\(369\) | −723.355 | −0.102050 | ||||||||
\(370\) | −1028.87 | + | 1187.39i | −0.144564 | + | 0.166836i | ||||
\(371\) | −6393.17 | + | 4108.64i | −0.894655 | + | 0.574960i | ||||
\(372\) | −661.791 | − | 4602.85i | −0.0922372 | − | 0.641524i | ||||
\(373\) | −234.030 | − | 512.454i | −0.0324869 | − | 0.0711364i | 0.892693 | − | 0.450666i | \(-0.148813\pi\) |
−0.925180 | + | 0.379529i | \(0.876086\pi\) | |||||||
\(374\) | 229.293 | − | 1594.77i | 0.0317018 | − | 0.220491i | ||||
\(375\) | 4284.90 | − | 1258.16i | 0.590056 | − | 0.173256i | ||||
\(376\) | −1782.08 | − | 1145.27i | −0.244424 | − | 0.157082i | ||||
\(377\) | 261.544 | − | 572.700i | 0.0357299 | − | 0.0782376i | ||||
\(378\) | −248.607 | − | 72.9975i | −0.0338279 | − | 0.00993277i | ||||
\(379\) | 613.253 | + | 707.732i | 0.0831153 | + | 0.0959202i | 0.795784 | − | 0.605581i | \(-0.207059\pi\) |
−0.712669 | + | 0.701501i | \(0.752514\pi\) | |||||||
\(380\) | 3979.50 | + | 4592.58i | 0.537221 | + | 0.619986i | ||||
\(381\) | −4201.52 | − | 1233.68i | −0.564962 | − | 0.165888i | ||||
\(382\) | −1278.96 | + | 2800.52i | −0.171301 | + | 0.375097i | ||||
\(383\) | −5816.78 | − | 3738.22i | −0.776041 | − | 0.498731i | 0.0916765 | − | 0.995789i | \(-0.470777\pi\) |
−0.867718 | + | 0.497058i | \(0.834414\pi\) | |||||||
\(384\) | 3508.83 | − | 1030.29i | 0.466300 | − | 0.136918i | ||||
\(385\) | 986.846 | − | 6863.66i | 0.130635 | − | 0.908584i | ||||
\(386\) | 486.403 | + | 1065.07i | 0.0641380 | + | 0.140443i | ||||
\(387\) | 441.409 | + | 3070.07i | 0.0579796 | + | 0.403257i | ||||
\(388\) | 1495.89 | − | 961.351i | 0.195728 | − | 0.125787i | ||||
\(389\) | −7494.55 | + | 8649.18i | −0.976835 | + | 1.12733i | 0.0150107 | + | 0.999887i | \(0.495222\pi\) |
−0.991846 | + | 0.127441i | \(0.959324\pi\) | |||||||
\(390\) | −401.417 | −0.0521193 | ||||||||
\(391\) | 604.931 | + | 4005.68i | 0.0782421 | + | 0.518097i | ||||
\(392\) | 1662.15 | 0.214161 | ||||||||
\(393\) | −4382.30 | + | 5057.44i | −0.562488 | + | 0.649146i | ||||
\(394\) | 619.269 | − | 397.980i | 0.0791835 | − | 0.0508881i | ||||
\(395\) | 290.312 | + | 2019.16i | 0.0369802 | + | 0.257203i | ||||
\(396\) | 1767.17 | + | 3869.56i | 0.224251 | + | 0.491042i | ||||
\(397\) | 438.312 | − | 3048.52i | 0.0554111 | − | 0.385393i | −0.943178 | − | 0.332288i | \(-0.892179\pi\) |
0.998589 | − | 0.0531045i | \(-0.0169117\pi\) | |||||||
\(398\) | 3617.16 | − | 1062.09i | 0.455557 | − | 0.133764i | ||||
\(399\) | 3506.48 | + | 2253.48i | 0.439959 | + | 0.282744i | ||||
\(400\) | −1328.40 | + | 2908.78i | −0.166050 | + | 0.363598i | ||||
\(401\) | 9220.47 | + | 2707.37i | 1.14825 | + | 0.337157i | 0.799856 | − | 0.600192i | \(-0.204909\pi\) |
0.348394 | + | 0.937348i | \(0.386727\pi\) | |||||||
\(402\) | 1222.16 | + | 1410.45i | 0.151632 | + | 0.174992i | ||||
\(403\) | −3236.00 | − | 3734.55i | −0.399992 | − | 0.461615i | ||||
\(404\) | 5983.46 | + | 1756.90i | 0.736852 | + | 0.216359i | ||||
\(405\) | 269.537 | − | 590.203i | 0.0330701 | − | 0.0724134i | ||||
\(406\) | −212.194 | − | 136.369i | −0.0259384 | − | 0.0166696i | ||||
\(407\) | 16976.4 | − | 4984.72i | 2.06754 | − | 0.607084i | ||||
\(408\) | 169.640 | − | 1179.87i | 0.0205843 | − | 0.143167i | ||||
\(409\) | −5939.30 | − | 13005.2i | −0.718042 | − | 1.57229i | −0.816628 | − | 0.577165i | \(-0.804159\pi\) |
0.0985851 | − | 0.995129i | \(-0.468568\pi\) | |||||||
\(410\) | 63.8953 | + | 444.402i | 0.00769650 | + | 0.0535303i | ||||
\(411\) | 715.460 | − | 459.798i | 0.0858662 | − | 0.0551829i | ||||
\(412\) | −675.356 | + | 779.402i | −0.0807582 | + | 0.0932000i | ||||
\(413\) | 1046.49 | 0.124684 | ||||||||
\(414\) | 457.055 | + | 519.979i | 0.0542585 | + | 0.0617284i | ||||
\(415\) | 1265.89 | 0.149735 | ||||||||
\(416\) | 1932.62 | − | 2230.36i | 0.227775 | − | 0.262866i | ||||
\(417\) | −5120.79 | + | 3290.93i | −0.601357 | + | 0.386469i | ||||
\(418\) | 630.354 | + | 4384.21i | 0.0737599 | + | 0.513011i | ||||
\(419\) | 6054.53 | + | 13257.6i | 0.705927 | + | 1.54576i | 0.832634 | + | 0.553823i | \(0.186832\pi\) |
−0.126708 | + | 0.991940i | \(0.540441\pi\) | |||||||
\(420\) | 353.609 | − | 2459.41i | 0.0410818 | − | 0.285730i | ||||
\(421\) | 2483.12 | − | 729.109i | 0.287458 | − | 0.0844052i | −0.134825 | − | 0.990869i | \(-0.543047\pi\) |
0.422283 | + | 0.906464i | \(0.361229\pi\) | |||||||
\(422\) | 1042.46 | + | 669.950i | 0.120252 | + | 0.0772812i | ||||
\(423\) | 732.065 | − | 1603.00i | 0.0841471 | − | 0.184256i | ||||
\(424\) | −5732.68 | − | 1683.27i | −0.656612 | − | 0.192799i | ||||
\(425\) | 1463.12 | + | 1688.53i | 0.166992 | + | 0.192719i | ||||
\(426\) | −664.941 | − | 767.383i | −0.0756256 | − | 0.0872765i | ||||
\(427\) | −7099.85 | − | 2084.70i | −0.804651 | − | 0.236267i | ||||
\(428\) | 5464.73 | − | 11966.1i | 0.617168 | − | 1.35141i | ||||
\(429\) | 3802.87 | + | 2443.96i | 0.427983 | + | 0.275048i | ||||
\(430\) | 1847.14 | − | 542.370i | 0.207156 | − | 0.0608266i | ||||
\(431\) | −1231.35 | + | 8564.21i | −0.137615 | + | 0.957131i | 0.797635 | + | 0.603141i | \(0.206084\pi\) |
−0.935249 | + | 0.353990i | \(0.884825\pi\) | |||||||
\(432\) | 589.579 | + | 1291.00i | 0.0656623 | + | 0.143780i | ||||
\(433\) | 1275.19 | + | 8869.15i | 0.141528 | + | 0.984352i | 0.929548 | + | 0.368702i | \(0.120198\pi\) |
−0.788019 | + | 0.615650i | \(0.788893\pi\) | |||||||
\(434\) | −1665.45 | + | 1070.32i | −0.184203 | + | 0.118380i | ||||
\(435\) | 413.637 | − | 477.363i | 0.0455917 | − | 0.0526156i | ||||
\(436\) | −1147.62 | −0.126058 | ||||||||
\(437\) | −4698.13 | − | 10097.5i | −0.514284 | − | 1.10533i | ||||
\(438\) | −2217.36 | −0.241894 | ||||||||
\(439\) | −8989.48 | + | 10374.4i | −0.977322 | + | 1.12789i | 0.0144531 | + | 0.999896i | \(0.495399\pi\) |
−0.991775 | + | 0.127994i | \(0.959146\pi\) | |||||||
\(440\) | 4586.19 | − | 2947.37i | 0.496905 | − | 0.319341i | ||||
\(441\) | 196.783 | + | 1368.66i | 0.0212486 | + | 0.147787i | ||||
\(442\) | −254.851 | − | 558.046i | −0.0274254 | − | 0.0600533i | ||||
\(443\) | −2492.33 | + | 17334.5i | −0.267301 | + | 1.85912i | 0.206447 | + | 0.978458i | \(0.433810\pi\) |
−0.473748 | + | 0.880660i | \(0.657099\pi\) | |||||||
\(444\) | 6083.02 | − | 1786.14i | 0.650197 | − | 0.190915i | ||||
\(445\) | −4840.40 | − | 3110.74i | −0.515634 | − | 0.331378i | ||||
\(446\) | −794.796 | + | 1740.36i | −0.0843827 | + | 0.184772i | ||||
\(447\) | 8022.73 | + | 2355.69i | 0.848908 | + | 0.249262i | ||||
\(448\) | 3015.24 | + | 3479.78i | 0.317984 | + | 0.366973i | ||||
\(449\) | −2036.12 | − | 2349.80i | −0.214009 | − | 0.246980i | 0.638587 | − | 0.769549i | \(-0.279519\pi\) |
−0.852597 | + | 0.522569i | \(0.824974\pi\) | |||||||
\(450\) | 366.347 | + | 107.569i | 0.0383773 | + | 0.0112686i | ||||
\(451\) | 2100.35 | − | 4599.12i | 0.219294 | − | 0.480186i | ||||
\(452\) | 1828.89 | + | 1175.35i | 0.190318 | + | 0.122310i | ||||
\(453\) | −6058.94 | + | 1779.07i | −0.628419 | + | 0.184521i | ||||
\(454\) | −120.412 | + | 837.483i | −0.0124476 | + | 0.0865750i | ||||
\(455\) | −1096.84 | − | 2401.75i | −0.113013 | − | 0.247464i | ||||
\(456\) | 466.359 | + | 3243.60i | 0.0478932 | + | 0.333104i | ||||
\(457\) | 3656.03 | − | 2349.59i | 0.374227 | − | 0.240501i | −0.339984 | − | 0.940431i | \(-0.610422\pi\) |
0.714212 | + | 0.699930i | \(0.246785\pi\) | |||||||
\(458\) | −1330.35 | + | 1535.30i | −0.135727 | + | 0.156637i | ||||
\(459\) | 991.620 | 0.100838 | ||||||||
\(460\) | −4311.89 | + | 5048.02i | −0.437050 | + | 0.511663i | ||||
\(461\) | 7792.90 | 0.787314 | 0.393657 | − | 0.919257i | \(-0.371210\pi\) | ||||
0.393657 | + | 0.919257i | \(0.371210\pi\) | |||||||
\(462\) | 1185.98 | − | 1368.69i | 0.119430 | − | 0.137830i | ||||
\(463\) | 2175.40 | − | 1398.04i | 0.218357 | − | 0.140329i | −0.426890 | − | 0.904304i | \(-0.640391\pi\) |
0.645247 | + | 0.763974i | \(0.276754\pi\) | |||||||
\(464\) | 196.628 | + | 1367.57i | 0.0196729 | + | 0.136828i | ||||
\(465\) | −2059.45 | − | 4509.56i | −0.205386 | − | 0.449733i | ||||
\(466\) | 693.338 | − | 4822.27i | 0.0689233 | − | 0.479372i | ||||
\(467\) | −15069.2 | + | 4424.73i | −1.49319 | + | 0.438441i | −0.923559 | − | 0.383457i | \(-0.874733\pi\) |
−0.569635 | + | 0.821898i | \(0.692915\pi\) | |||||||
\(468\) | 1362.66 | + | 875.725i | 0.134591 | + | 0.0864966i | ||||
\(469\) | −5099.52 | + | 11166.4i | −0.502077 | + | 1.09939i | ||||
\(470\) | −1049.49 | − | 308.157i | −0.102998 | − | 0.0302431i | ||||
\(471\) | 1935.15 | + | 2233.28i | 0.189314 | + | 0.218480i | ||||
\(472\) | 538.778 | + | 621.782i | 0.0525408 | + | 0.0606353i | ||||
\(473\) | −20801.3 | − | 6107.81i | −2.02208 | − | 0.593737i | ||||
\(474\) | −221.323 | + | 484.630i | −0.0214466 | + | 0.0469615i | ||||
\(475\) | −5167.15 | − | 3320.73i | −0.499127 | − | 0.320769i | ||||
\(476\) | 3643.55 | − | 1069.84i | 0.350844 | − | 0.103017i | ||||
\(477\) | 707.350 | − | 4919.73i | 0.0678980 | − | 0.472241i | ||||
\(478\) | 637.473 | + | 1395.87i | 0.0609986 | + | 0.133568i | ||||
\(479\) | −2049.13 | − | 14252.0i | −0.195463 | − | 1.35948i | −0.817246 | − | 0.576289i | \(-0.804500\pi\) |
0.621783 | − | 0.783190i | \(-0.286409\pi\) | |||||||
\(480\) | 2490.76 | − | 1600.71i | 0.236848 | − | 0.152213i | ||||
\(481\) | 4411.80 | − | 5091.49i | 0.418214 | − | 0.482644i | ||||
\(482\) | 3657.45 | 0.345627 | ||||||||
\(483\) | −1862.26 | + | 4155.46i | −0.175437 | + | 0.391470i | ||||
\(484\) | −19733.3 | −1.85324 | ||||||||
\(485\) | 1241.42 | − | 1432.68i | 0.116227 | − | 0.134133i | ||||
\(486\) | 142.558 | − | 91.6166i | 0.0133057 | − | 0.00855106i | ||||
\(487\) | −2199.59 | − | 15298.5i | −0.204668 | − | 1.42349i | −0.790202 | − | 0.612847i | \(-0.790024\pi\) |
0.585534 | − | 0.810648i | \(-0.300885\pi\) | |||||||
\(488\) | −2416.66 | − | 5291.75i | −0.224174 | − | 0.490873i | ||||
\(489\) | 1170.71 | − | 8142.50i | 0.108265 | − | 0.752999i | ||||
\(490\) | 823.468 | − | 241.792i | 0.0759194 | − | 0.0222919i | ||||
\(491\) | 7927.35 | + | 5094.60i | 0.728628 | + | 0.468261i | 0.851628 | − | 0.524146i | \(-0.175615\pi\) |
−0.123001 | + | 0.992407i | \(0.539252\pi\) | |||||||
\(492\) | 752.601 | − | 1647.97i | 0.0689632 | − | 0.151008i | ||||
\(493\) | 926.236 | + | 271.967i | 0.0846157 | + | 0.0248454i | ||||
\(494\) | 1104.45 | + | 1274.61i | 0.100590 | + | 0.116088i | ||||
\(495\) | 2969.91 | + | 3427.45i | 0.269671 | + | 0.311217i | ||||
\(496\) | 10404.8 | + | 3055.13i | 0.941914 | + | 0.276571i | ||||
\(497\) | 2774.49 | − | 6075.29i | 0.250409 | − | 0.548318i | ||||
\(498\) | 278.133 | + | 178.745i | 0.0250270 | + | 0.0160839i | ||||
\(499\) | −2067.32 | + | 607.019i | −0.185462 | + | 0.0544567i | −0.373145 | − | 0.927773i | \(-0.621721\pi\) |
0.187682 | + | 0.982230i | \(0.439902\pi\) | |||||||
\(500\) | −1591.77 | + | 11071.0i | −0.142372 | + | 0.990221i | ||||
\(501\) | 2917.20 | + | 6387.77i | 0.260141 | + | 0.569630i | ||||
\(502\) | −190.383 | − | 1324.14i | −0.0169267 | − | 0.117728i | ||||
\(503\) | 6541.10 | − | 4203.71i | 0.579827 | − | 0.372632i | −0.217609 | − | 0.976036i | \(-0.569826\pi\) |
0.797436 | + | 0.603404i | \(0.206189\pi\) | |||||||
\(504\) | 877.432 | − | 1012.61i | 0.0775475 | − | 0.0894946i | ||||
\(505\) | 6648.27 | 0.585830 | ||||||||
\(506\) | −4633.16 | + | 1396.15i | −0.407054 | + | 0.122661i | ||||
\(507\) | −4869.73 | −0.426573 | ||||||||
\(508\) | 7182.00 | − | 8288.47i | 0.627263 | − | 0.723900i | ||||
\(509\) | 17921.0 | − | 11517.1i | 1.56058 | − | 1.00292i | 0.578225 | − | 0.815877i | \(-0.303745\pi\) |
0.982351 | − | 0.187045i | \(-0.0598910\pi\) | |||||||
\(510\) | −87.5918 | − | 609.214i | −0.00760515 | − | 0.0528950i | ||||
\(511\) | −6058.79 | − | 13266.9i | −0.524511 | − | 1.14852i | ||||
\(512\) | −1569.13 | + | 10913.6i | −0.135443 | + | 0.942023i | ||||
\(513\) | −2615.66 | + | 768.026i | −0.225115 | + | 0.0660998i | ||||
\(514\) | −2399.22 | − | 1541.89i | −0.205886 | − | 0.132315i | ||||
\(515\) | −456.735 | + | 1000.11i | −0.0390799 | + | 0.0855730i | ||||
\(516\) | −7453.57 | − | 2188.57i | −0.635902 | − | 0.186718i | ||||
\(517\) | 8066.30 | + | 9309.00i | 0.686181 | + | 0.791895i | ||||
\(518\) | −1767.50 | − | 2039.80i | −0.149922 | − | 0.173019i | ||||
\(519\) | 3968.14 | + | 1165.15i | 0.335611 | + | 0.0985442i | ||||
\(520\) | 862.325 | − | 1888.23i | 0.0727220 | − | 0.159239i | ||||
\(521\) | 2161.46 | + | 1389.09i | 0.181757 | + | 0.116808i | 0.628355 | − | 0.777926i | \(-0.283728\pi\) |
−0.446598 | + | 0.894734i | \(0.647365\pi\) | |||||||
\(522\) | 158.286 | − | 46.4769i | 0.0132720 | − | 0.00389701i | ||||
\(523\) | 1062.26 | − | 7388.21i | 0.0888137 | − | 0.617713i | −0.895994 | − | 0.444066i | \(-0.853536\pi\) |
0.984808 | − | 0.173647i | \(-0.0555552\pi\) | |||||||
\(524\) | −6962.53 | − | 15245.8i | −0.580457 | − | 1.27102i | ||||
\(525\) | 357.412 | + | 2485.85i | 0.0297119 | + | 0.206651i | ||||
\(526\) | −2578.84 | + | 1657.32i | −0.213770 | + | 0.137381i | ||||
\(527\) | 4961.66 | − | 5726.06i | 0.410120 | − | 0.473303i | ||||
\(528\) | −9920.13 | −0.817648 | ||||||||
\(529\) | 10141.3 | − | 6722.37i | 0.833507 | − | 0.552508i | ||||
\(530\) | −3084.98 | −0.252835 | ||||||||
\(531\) | −448.206 | + | 517.257i | −0.0366299 | + | 0.0422732i | ||||
\(532\) | −8782.19 | + | 5643.97i | −0.715707 | + | 0.459957i | ||||
\(533\) | −273.982 | − | 1905.59i | −0.0222655 | − | 0.154860i | ||||
\(534\) | −624.261 | − | 1366.94i | −0.0505888 | − | 0.110774i | ||||
\(535\) | 1995.88 | − | 13881.7i | 0.161289 | − | 1.12179i | ||||
\(536\) | −9260.09 | + | 2719.01i | −0.746222 | + | 0.219111i | ||||
\(537\) | −9137.48 | − | 5872.30i | −0.734286 | − | 0.471897i | ||||
\(538\) | 1412.53 | − | 3093.01i | 0.113194 | − | 0.247861i | ||||
\(539\) | −9273.35 | − | 2722.90i | −0.741060 | − | 0.217595i | ||||
\(540\) | 1064.18 | + | 1228.13i | 0.0848059 | + | 0.0978712i | ||||
\(541\) | 5202.00 | + | 6003.43i | 0.413404 | + | 0.477094i | 0.923816 | − | 0.382836i | \(-0.125053\pi\) |
−0.510412 | + | 0.859930i | \(0.670507\pi\) | |||||||
\(542\) | −3017.78 | − | 886.100i | −0.239160 | − | 0.0702238i | ||||
\(543\) | −2192.46 | + | 4800.82i | −0.173274 | + | 0.379416i | ||||
\(544\) | 3806.64 | + | 2446.38i | 0.300015 | + | 0.192808i | ||||
\(545\) | −1173.92 | + | 344.694i | −0.0922664 | + | 0.0270919i | ||||
\(546\) | 98.1392 | − | 682.573i | 0.00769225 | − | 0.0535008i | ||||
\(547\) | 9212.96 | + | 20173.6i | 0.720142 | + | 1.57689i | 0.813705 | + | 0.581278i | \(0.197447\pi\) |
−0.0935629 | + | 0.995613i | \(0.529826\pi\) | |||||||
\(548\) | 303.138 | + | 2108.37i | 0.0236303 | + | 0.164352i | ||||
\(549\) | 4071.26 | − | 2616.44i | 0.316497 | − | 0.203401i | ||||
\(550\) | −1747.66 | + | 2016.91i | −0.135492 | + | 0.156366i | ||||
\(551\) | −2653.83 | −0.205185 | ||||||||
\(552\) | −3427.78 | + | 1032.93i | −0.264305 | + | 0.0796454i | ||||
\(553\) | −3504.38 | −0.269478 | ||||||||
\(554\) | −739.484 | + | 853.410i | −0.0567106 | + | 0.0654475i | ||||
\(555\) | 5685.94 | − | 3654.13i | 0.434874 | − | 0.279476i | ||||
\(556\) | −2169.66 | − | 15090.3i | −0.165493 | − | 1.15103i | ||||
\(557\) | −6644.97 | − | 14550.5i | −0.505487 | − | 1.10686i | −0.974647 | − | 0.223749i | \(-0.928170\pi\) |
0.469159 | − | 0.883114i | \(-0.344557\pi\) | |||||||
\(558\) | 184.267 | − | 1281.61i | 0.0139797 | − | 0.0972307i | ||||
\(559\) | −7920.53 | + | 2325.68i | −0.599289 | + | 0.175967i | ||||
\(560\) | 4874.41 | + | 3132.59i | 0.367824 | + | 0.236386i | ||||
\(561\) | −2879.29 | + | 6304.76i | −0.216691 | + | 0.474487i | ||||
\(562\) | 1391.45 | + | 408.568i | 0.104439 | + | 0.0306662i | ||||
\(563\) | 7003.21 | + | 8082.14i | 0.524246 | + | 0.605012i | 0.954689 | − | 0.297606i | \(-0.0961882\pi\) |
−0.430443 | + | 0.902618i | \(0.641643\pi\) | |||||||
\(564\) | 2890.34 | + | 3335.62i | 0.215789 | + | 0.249034i | ||||
\(565\) | 2223.82 | + | 652.972i | 0.165587 | + | 0.0486208i | ||||
\(566\) | −551.433 | + | 1207.47i | −0.0409514 | + | 0.0896710i | ||||
\(567\) | 937.691 | + | 602.618i | 0.0694521 | + | 0.0446342i | ||||
\(568\) | 5038.13 | − | 1479.33i | 0.372175 | − | 0.109280i | ||||
\(569\) | −1815.43 | + | 12626.6i | −0.133755 | + | 0.930288i | 0.806843 | + | 0.590766i | \(0.201174\pi\) |
−0.940598 | + | 0.339522i | \(0.889735\pi\) | |||||||
\(570\) | 702.892 | + | 1539.12i | 0.0516507 | + | 0.113099i | ||||
\(571\) | 2814.27 | + | 19573.7i | 0.206259 | + | 1.43456i | 0.785226 | + | 0.619209i | \(0.212547\pi\) |
−0.578967 | + | 0.815351i | \(0.696544\pi\) | |||||||
\(572\) | −9524.53 | + | 6121.05i | −0.696225 | + | 0.447437i | ||||
\(573\) | 8673.29 | − | 10009.5i | 0.632342 | − | 0.729762i | ||||
\(574\) | −771.287 | −0.0560852 | ||||||||
\(575\) | 2744.23 | − | 6123.49i | 0.199030 | − | 0.444117i | ||||
\(576\) | −3011.40 | −0.217838 | ||||||||
\(577\) | −6634.31 | + | 7656.40i | −0.478665 | + | 0.552409i | −0.942801 | − | 0.333355i | \(-0.891819\pi\) |
0.464136 | + | 0.885764i | \(0.346365\pi\) | |||||||
\(578\) | −2090.94 | + | 1343.77i | −0.150470 | + | 0.0967014i | ||||
\(579\) | −716.847 | − | 4985.78i | −0.0514527 | − | 0.357862i | ||||
\(580\) | 657.180 | + | 1439.02i | 0.0470481 | + | 0.103021i | ||||
\(581\) | −309.487 | + | 2152.53i | −0.0220993 | + | 0.153704i | ||||
\(582\) | 475.054 | − | 139.488i | 0.0338344 | − | 0.00993467i | ||||
\(583\) | 29226.0 | + | 18782.4i | 2.07618 | + | 1.33428i | ||||
\(584\) | 4763.35 | − | 10430.3i | 0.337515 | − | 0.739055i | ||||
\(585\) | 1656.91 | + | 486.513i | 0.117102 | + | 0.0343843i | ||||
\(586\) | 272.896 | + | 314.939i | 0.0192376 | + | 0.0222014i | ||||
\(587\) | 10050.9 | + | 11599.3i | 0.706718 | + | 0.815596i | 0.989644 | − | 0.143546i | \(-0.0458504\pi\) |
−0.282926 | + | 0.959142i | \(0.591305\pi\) | |||||||
\(588\) | −3322.85 | − | 975.677i | −0.233048 | − | 0.0684290i | ||||
\(589\) | −8652.74 | + | 18946.8i | −0.605314 | + | 1.32545i | ||||
\(590\) | 357.374 | + | 229.671i | 0.0249371 | + | 0.0160261i | ||||
\(591\) | −3038.48 | + | 892.177i | −0.211483 | + | 0.0620969i | ||||
\(592\) | −2104.02 | + | 14633.8i | −0.146072 | + | 1.01595i | ||||
\(593\) | −5867.26 | − | 12847.5i | −0.406306 | − | 0.889686i | −0.996592 | − | 0.0824918i | \(-0.973712\pi\) |
0.590286 | − | 0.807194i | \(-0.299015\pi\) | |||||||
\(594\) | 168.567 | + | 1172.41i | 0.0116438 | + | 0.0809842i | ||||
\(595\) | 3405.71 | − | 2188.72i | 0.234656 | − | 0.150804i | ||||
\(596\) | −13713.9 | + | 15826.7i | −0.942522 | + | 1.08773i | ||||
\(597\) | −16217.6 | −1.11180 | ||||||||
\(598\) | −1196.70 | + | 1401.01i | −0.0818342 | + | 0.0958050i | ||||
\(599\) | 28718.2 | 1.95892 | 0.979461 | − | 0.201634i | \(-0.0646251\pi\) | ||||
0.979461 | + | 0.201634i | \(0.0646251\pi\) | |||||||
\(600\) | −1292.99 | + | 1492.19i | −0.0879766 | + | 0.101530i | ||||
\(601\) | 13198.7 | − | 8482.29i | 0.895817 | − | 0.575707i | −0.00972976 | − | 0.999953i | \(-0.503097\pi\) |
0.905547 | + | 0.424246i | \(0.139461\pi\) | |||||||
\(602\) | 470.659 | + | 3273.50i | 0.0318648 | + | 0.221625i | ||||
\(603\) | −3335.22 | − | 7303.10i | −0.225241 | − | 0.493210i | ||||
\(604\) | 2250.80 | − | 15654.7i | 0.151629 | − | 1.05460i | ||||
\(605\) | −20185.5 | + | 5926.99i | −1.35646 | + | 0.398292i | ||||
\(606\) | 1460.71 | + | 938.744i | 0.0979166 | + | 0.0629272i | ||||
\(607\) | −715.265 | + | 1566.21i | −0.0478282 | + | 0.104729i | −0.932038 | − | 0.362362i | \(-0.881971\pi\) |
0.884209 | + | 0.467091i | \(0.154698\pi\) | |||||||
\(608\) | −11935.8 | − | 3504.65i | −0.796149 | − | 0.233770i | ||||
\(609\) | 710.586 | + | 820.059i | 0.0472814 | + | 0.0545657i | ||||
\(610\) | −1967.06 | − | 2270.11i | −0.130564 | − | 0.150679i | ||||
\(611\) | 4500.19 | + | 1321.37i | 0.297967 | + | 0.0874911i | ||||
\(612\) | −1031.71 | + | 2259.14i | −0.0681447 | + | 0.149216i | ||||
\(613\) | 3366.06 | + | 2163.23i | 0.221784 | + | 0.142532i | 0.646815 | − | 0.762647i | \(-0.276100\pi\) |
−0.425031 | + | 0.905179i | \(0.639737\pi\) | |||||||
\(614\) | 6848.87 | − | 2011.01i | 0.450159 | − | 0.132179i | ||||
\(615\) | 274.872 | − | 1911.78i | 0.0180226 | − | 0.125350i | ||||
\(616\) | 3890.49 | + | 8518.99i | 0.254468 | + | 0.557208i | ||||
\(617\) | −196.396 | − | 1365.97i | −0.0128146 | − | 0.0891276i | 0.982410 | − | 0.186734i | \(-0.0597904\pi\) |
−0.995225 | + | 0.0976067i | \(0.968881\pi\) | |||||||
\(618\) | −241.567 | + | 155.246i | −0.0157237 | + | 0.0101050i | ||||
\(619\) | −11649.5 | + | 13444.2i | −0.756434 | + | 0.872972i | −0.995175 | − | 0.0981114i | \(-0.968720\pi\) |
0.238741 | + | 0.971083i | \(0.423265\pi\) | |||||||
\(620\) | 12416.5 | 0.804290 | ||||||||
\(621\) | −1256.36 | − | 2700.24i | −0.0811851 | − | 0.174488i | ||||
\(622\) | 6821.33 | 0.439727 | ||||||||
\(623\) | 6472.92 | − | 7470.15i | 0.416263 | − | 0.480394i | ||||
\(624\) | −3177.66 | + | 2042.16i | −0.203860 | + | 0.131013i | ||||
\(625\) | 614.781 | + | 4275.90i | 0.0393460 | + | 0.273657i | ||||
\(626\) | −319.978 | − | 700.654i | −0.0204295 | − | 0.0447345i | ||||
\(627\) | 2711.73 | − | 18860.5i | 0.172721 | − | 1.20130i | ||||
\(628\) | −7101.32 | + | 2085.13i | −0.451231 | + | 0.132494i | ||||
\(629\) | 8689.84 | + | 5584.62i | 0.550853 | + | 0.354012i | ||||
\(630\) | 287.398 | − | 629.313i | 0.0181749 | − | 0.0397975i | ||||
\(631\) | 19330.0 | + | 5675.81i | 1.21952 | + | 0.358083i | 0.827285 | − | 0.561782i | \(-0.189884\pi\) |
0.392234 | + | 0.919865i | \(0.371702\pi\) | |||||||
\(632\) | −1804.21 | − | 2082.17i | −0.113556 | − | 0.131051i | ||||
\(633\) | −3490.96 | − | 4028.78i | −0.219199 | − | 0.252969i | ||||
\(634\) | 4094.86 | + | 1202.36i | 0.256511 | + | 0.0753184i | ||||
\(635\) | 4857.10 | − | 10635.6i | 0.303540 | − | 0.664660i | ||||
\(636\) | 10472.3 | + | 6730.15i | 0.652915 | + | 0.419603i | ||||
\(637\) | −3531.02 | + | 1036.80i | −0.219630 | + | 0.0644891i | ||||
\(638\) | −164.100 | + | 1141.34i | −0.0101830 | + | 0.0708245i | ||||
\(639\) | 1814.59 | + | 3973.40i | 0.112338 | + | 0.245986i | ||||
\(640\) | 1389.63 | + | 9665.12i | 0.0858283 | + | 0.596949i | ||||
\(641\) | 6710.66 | − | 4312.68i | 0.413502 | − | 0.265742i | −0.317308 | − | 0.948323i | \(-0.602779\pi\) |
0.730810 | + | 0.682581i | \(0.239142\pi\) | |||||||
\(642\) | 2398.63 | − | 2768.17i | 0.147455 | − | 0.170173i | ||||
\(643\) | −26715.3 | −1.63849 | −0.819246 | − | 0.573443i | \(-0.805608\pi\) | ||||
−0.819246 | + | 0.573443i | \(0.805608\pi\) | |||||||
\(644\) | −7529.53 | − | 8566.13i | −0.460722 | − | 0.524151i | ||||
\(645\) | −8281.73 | −0.505570 | ||||||||
\(646\) | −1693.42 | + | 1954.31i | −0.103137 | + | 0.119027i | ||||
\(647\) | −5781.58 | + | 3715.59i | −0.351309 | + | 0.225773i | −0.704379 | − | 0.709824i | \(-0.748774\pi\) |
0.353069 | + | 0.935597i | \(0.385138\pi\) | |||||||
\(648\) | 124.712 | + | 867.393i | 0.00756044 | + | 0.0525840i | ||||
\(649\) | −1987.32 | − | 4351.63i | −0.120199 | − | 0.263200i | ||||
\(650\) | −144.618 | + | 1005.84i | −0.00872675 | + | 0.0606959i | ||||
\(651\) | 8171.60 | − | 2399.40i | 0.491967 | − | 0.144454i | ||||
\(652\) | 17332.4 | + | 11138.9i | 1.04109 | + | 0.669067i | ||||
\(653\) | −7437.57 | + | 16286.0i | −0.445719 | + | 0.975989i | 0.544794 | + | 0.838570i | \(0.316608\pi\) |
−0.990513 | + | 0.137419i | \(0.956119\pi\) | |||||||
\(654\) | −306.597 | − | 90.0250i | −0.0183316 | − | 0.00538266i | ||||
\(655\) | −11701.2 | − | 13503.9i | −0.698023 | − | 0.805562i | ||||
\(656\) | 2766.65 | + | 3192.88i | 0.164664 | + | 0.190032i | ||||
\(657\) | 9152.51 | + | 2687.42i | 0.543491 | + | 0.159583i | ||||
\(658\) | 780.575 | − | 1709.22i | 0.0462462 | − | 0.101265i | ||||
\(659\) | −16135.8 | − | 10369.9i | −0.953811 | − | 0.612977i | −0.0315325 | − | 0.999503i | \(-0.510039\pi\) |
−0.922279 | + | 0.386525i | \(0.873675\pi\) | |||||||
\(660\) | −10898.5 | + | 3200.09i | −0.642764 | + | 0.188732i | ||||
\(661\) | 2069.05 | − | 14390.5i | 0.121750 | − | 0.846788i | −0.833823 | − | 0.552032i | \(-0.813853\pi\) |
0.955573 | − | 0.294756i | \(-0.0952383\pi\) | |||||||
\(662\) | −1161.55 | − | 2543.45i | −0.0681950 | − | 0.149326i | ||||
\(663\) | 375.592 | + | 2612.30i | 0.0220012 | + | 0.153022i | ||||
\(664\) | −1438.29 | + | 924.332i | −0.0840609 | + | 0.0540226i | ||||
\(665\) | −7288.25 | + | 8411.09i | −0.425002 | + | 0.490478i | ||||
\(666\) | 1765.25 | 0.102706 | ||||||||
\(667\) | −432.935 | − | 2866.77i | −0.0251324 | − | 0.166420i | ||||
\(668\) | −17587.9 | −1.01871 | ||||||||
\(669\) | 5389.95 | − | 6220.33i | 0.311491 | − | 0.359480i | ||||
\(670\) | −4192.15 | + | 2694.13i | −0.241726 | + | 0.155348i | ||||
\(671\) | 4814.04 | + | 33482.4i | 0.276966 | + | 1.92634i | ||||
\(672\) | 2112.93 | + | 4626.66i | 0.121292 | + | 0.265591i | ||||
\(673\) | 3275.61 | − | 22782.4i | 0.187616 | − | 1.30490i | −0.650542 | − | 0.759470i | \(-0.725458\pi\) |
0.838158 | − | 0.545427i | \(-0.183633\pi\) | |||||||
\(674\) | −2410.00 | + | 707.639i | −0.137729 | + | 0.0404410i | ||||
\(675\) | −1381.78 | − | 888.019i | −0.0787924 | − | 0.0506368i | ||||
\(676\) | 5066.63 | − | 11094.4i | 0.288270 | − | 0.631222i | ||||
\(677\) | −20292.9 | − | 5958.53i | −1.15202 | − | 0.338264i | −0.350694 | − | 0.936490i | \(-0.614054\pi\) |
−0.801328 | + | 0.598226i | \(0.795873\pi\) | |||||||
\(678\) | 396.402 | + | 457.473i | 0.0224539 | + | 0.0259132i | ||||
\(679\) | 2132.64 | + | 2461.20i | 0.120535 | + | 0.139105i | ||||
\(680\) | 3053.86 | + | 896.693i | 0.172221 | + | 0.0505685i | ||||
\(681\) | 1512.04 | − | 3310.91i | 0.0850830 | − | 0.186306i | ||||
\(682\) | 7613.47 | + | 4892.88i | 0.427470 | + | 0.274718i | ||||
\(683\) | 22427.1 | − | 6585.20i | 1.25644 | − | 0.368925i | 0.415274 | − | 0.909697i | \(-0.363686\pi\) |
0.841170 | + | 0.540772i | \(0.181868\pi\) | |||||||
\(684\) | 971.674 | − | 6758.14i | 0.0543171 | − | 0.377784i | ||||
\(685\) | 943.344 | + | 2065.64i | 0.0526180 | + | 0.115217i | ||||
\(686\) | 678.260 | + | 4717.40i | 0.0377494 | + | 0.262553i | ||||
\(687\) | 7351.98 | − | 4724.83i | 0.408290 | − | 0.262392i | ||||
\(688\) | 11863.0 | − | 13690.6i | 0.657372 | − | 0.758647i | ||||
\(689\) | 13228.3 | 0.731436 | ||||||||
\(690\) | −1547.95 | + | 1010.38i | −0.0854050 | + | 0.0557455i | ||||
\(691\) | 4336.95 | 0.238763 | 0.119381 | − | 0.992848i | \(-0.461909\pi\) | ||||
0.119381 | + | 0.992848i | \(0.461909\pi\) | |||||||
\(692\) | −6783.06 | + | 7828.07i | −0.372620 | + | 0.430027i | ||||
\(693\) | −6554.17 | + | 4212.11i | −0.359267 | + | 0.230887i | ||||
\(694\) | −586.976 | − | 4082.51i | −0.0321056 | − | 0.223300i | ||||
\(695\) | −6751.83 | − | 14784.5i | −0.368506 | − | 0.806916i | ||||
\(696\) | −121.407 | + | 844.404i | −0.00661196 | + | 0.0459872i | ||||
\(697\) | 2832.25 | − | 831.624i | 0.153916 | − | 0.0451937i | ||||
\(698\) | −552.515 | − | 355.080i | −0.0299613 | − | 0.0192550i | ||||
\(699\) | −8706.40 | + | 19064.4i | −0.471111 | + | 1.03159i | ||||
\(700\) | −6035.21 | − | 1772.10i | −0.325871 | − | 0.0956842i | ||||
\(701\) | −13060.7 | − | 15072.9i | −0.703705 | − | 0.812119i | 0.285543 | − | 0.958366i | \(-0.407826\pi\) |
−0.989248 | + | 0.146247i | \(0.953281\pi\) | |||||||
\(702\) | 295.349 | + | 340.851i | 0.0158793 | + | 0.0183256i | ||||
\(703\) | −27247.1 | − | 8000.47i | −1.46180 | − | 0.429223i | ||||
\(704\) | 8743.96 | − | 19146.6i | 0.468111 | − | 1.02502i | ||||
\(705\) | 3958.44 | + | 2543.94i | 0.211466 | + | 0.135901i | ||||
\(706\) | −1740.93 | + | 511.183i | −0.0928056 | + | 0.0272502i | ||||
\(707\) | −1625.38 | + | 11304.8i | −0.0864623 | + | 0.601359i | ||||
\(708\) | −712.103 | − | 1559.29i | −0.0378001 | − | 0.0827707i | ||||
\(709\) | 1970.99 | + | 13708.5i | 0.104403 | + | 0.726141i | 0.973031 | + | 0.230675i | \(0.0740934\pi\) |
−0.868628 | + | 0.495466i | \(0.834997\pi\) | |||||||
\(710\) | 2280.82 | − | 1465.79i | 0.120560 | − | 0.0774792i | ||||
\(711\) | 1500.91 | − | 1732.14i | 0.0791682 | − | 0.0913650i | ||||
\(712\) | 7771.01 | 0.409032 | ||||||||
\(713\) | −21878.7 | − | 6256.12i | −1.14918 | − | 0.328602i | ||||
\(714\) | 1057.33 | 0.0554195 | ||||||||
\(715\) | −7904.31 | + | 9122.06i | −0.413433 | + | 0.477127i | ||||
\(716\) | 22885.4 | − | 14707.5i | 1.19451 | − | 0.767663i | ||||
\(717\) | −939.489 | − | 6534.29i | −0.0489342 | − | 0.340345i | ||||
\(718\) | −1797.22 | − | 3935.36i | −0.0934146 | − | 0.204549i | ||||
\(719\) | 3705.10 | − | 25769.6i | 0.192179 | − | 1.33664i | −0.634045 | − | 0.773296i | \(-0.718607\pi\) |
0.826224 | − | 0.563341i | \(-0.190484\pi\) | |||||||
\(720\) | −3636.06 | + | 1067.64i | −0.188206 | + | 0.0552622i | ||||
\(721\) | −1588.93 | − | 1021.15i | −0.0820735 | − | 0.0527454i | ||||
\(722\) | 966.172 | − | 2115.62i | 0.0498022 | − | 0.109052i | ||||
\(723\) | −15096.7 | − | 4432.80i | −0.776560 | − | 0.228019i | ||||
\(724\) | −8656.26 | − | 9989.86i | −0.444347 | − | 0.512804i | ||||
\(725\) | −1047.12 | − | 1208.44i | −0.0536401 | − | 0.0619040i | ||||
\(726\) | −5271.92 | − | 1547.98i | −0.269503 | − | 0.0791333i | ||||
\(727\) | 7640.43 | − | 16730.2i | 0.389777 | − | 0.853493i | −0.608428 | − | 0.793609i | \(-0.708200\pi\) |
0.998205 | − | 0.0598839i | \(-0.0190730\pi\) | |||||||
\(728\) | 2999.94 | + | 1927.95i | 0.152727 | + | 0.0981517i | ||||
\(729\) | −699.470 | + | 205.383i | −0.0355368 | + | 0.0104345i | ||||
\(730\) | 842.590 | − | 5860.34i | 0.0427201 | − | 0.297125i | ||||
\(731\) | −5257.90 | − | 11513.2i | −0.266033 | − | 0.582532i | ||||
\(732\) | 1724.98 | + | 11997.5i | 0.0870998 | + | 0.605792i | ||||
\(733\) | 24273.1 | − | 15599.3i | 1.22312 | − | 0.786051i | 0.240313 | − | 0.970695i | \(-0.422750\pi\) |
0.982805 | + | 0.184645i | \(0.0591134\pi\) | |||||||
\(734\) | −72.5731 | + | 83.7538i | −0.00364948 | + | 0.00421173i | ||||
\(735\) | −3692.04 | −0.185283 | ||||||||
\(736\) | 1838.72 | − | 13465.2i | 0.0920869 | − | 0.674367i | ||||
\(737\) | 56117.6 | 2.80478 | ||||||||
\(738\) | 330.339 | − | 381.231i | 0.0164769 | − | 0.0190153i | ||||
\(739\) | −12699.5 | + | 8161.44i | −0.632148 | + | 0.406257i | −0.817104 | − | 0.576490i | \(-0.804422\pi\) |
0.184957 | + | 0.982747i | \(0.440786\pi\) | |||||||
\(740\) | 2409.11 | + | 16755.8i | 0.119677 | + | 0.832370i | ||||
\(741\) | −3013.99 | − | 6599.72i | −0.149422 | − | 0.327189i | ||||
\(742\) | 754.222 | − | 5245.73i | 0.0373158 | − | 0.259537i | ||||
\(743\) | −33216.2 | + | 9753.16i | −1.64009 | + | 0.481573i | −0.966314 | − | 0.257366i | \(-0.917146\pi\) |
−0.673773 | + | 0.738939i | \(0.735327\pi\) | |||||||
\(744\) | 5632.72 | + | 3619.93i | 0.277561 | + | 0.178378i | ||||
\(745\) | −9274.54 | + | 20308.4i | −0.456098 | + | 0.998714i | ||||
\(746\) | 376.956 | + | 110.684i | 0.0185004 | + | 0.00543222i | ||||
\(747\) | −931.400 | − | 1074.89i | −0.0456200 | − | 0.0526483i | ||||
\(748\) | −11368.0 | − | 13119.4i | −0.555688 | − | 0.641298i | ||||
\(749\) | 23116.6 | + | 6787.64i | 1.12772 | + | 0.331128i | ||||
\(750\) | −1293.72 | + | 2832.85i | −0.0629866 | + | 0.137921i | ||||
\(751\) | 15804.0 | + | 10156.6i | 0.767903 | + | 0.493501i | 0.864999 | − | 0.501774i | \(-0.167319\pi\) |
−0.0970962 | + | 0.995275i | \(0.530955\pi\) | |||||||
\(752\) | −9875.59 | + | 2899.73i | −0.478890 | + | 0.140615i | ||||
\(753\) | −819.010 | + | 5696.34i | −0.0396366 | + | 0.275679i | ||||
\(754\) | 182.391 | + | 399.380i | 0.00880940 | + | 0.0192899i | ||||
\(755\) | −2399.58 | − | 16689.4i | −0.115668 | − | 0.804491i | ||||
\(756\) | −2348.51 | + | 1509.29i | −0.112982 | + | 0.0726091i | ||||
\(757\) | −11482.6 | + | 13251.6i | −0.551312 | + | 0.636248i | −0.961188 | − | 0.275893i | \(-0.911026\pi\) |
0.409877 | + | 0.912141i | \(0.365572\pi\) | |||||||
\(758\) | −653.055 | −0.0312929 | ||||||||
\(759\) | 20816.2 | − | 147.504i | 0.995496 | − | 0.00705408i | ||||
\(760\) | −8749.84 | −0.417619 | ||||||||
\(761\) | 721.582 | − | 832.750i | 0.0343723 | − | 0.0396678i | −0.738303 | − | 0.674469i | \(-0.764373\pi\) |
0.772675 | + | 0.634801i | \(0.218918\pi\) | |||||||
\(762\) | 2568.92 | − | 1650.95i | 0.122129 | − | 0.0784875i | ||||
\(763\) | −299.119 | − | 2080.42i | −0.0141924 | − | 0.0987106i | ||||
\(764\) | 13780.0 | + | 30174.0i | 0.652543 | + | 1.42887i | ||||
\(765\) | −376.812 | + | 2620.79i | −0.0178087 | + | 0.123862i | ||||
\(766\) | 4626.55 | − | 1358.48i | 0.218230 | − | 0.0640780i | ||||
\(767\) | −1532.42 | − | 984.825i | −0.0721413 | − | 0.0463624i | ||||
\(768\) | 2276.54 | − | 4984.93i | 0.106963 | − | 0.234216i | ||||
\(769\) | −37086.2 | − | 10889.5i | −1.73909 | − | 0.510644i | −0.750451 | − | 0.660926i | \(-0.770164\pi\) |
−0.988643 | + | 0.150281i | \(0.951982\pi\) | |||||||
\(770\) | 3166.70 | + | 3654.57i | 0.148208 | + | 0.171041i | ||||
\(771\) | 8034.43 | + | 9272.22i | 0.375296 | + | 0.433114i | ||||
\(772\) | 12104.6 | + | 3554.22i | 0.564318 | + | 0.165699i | ||||
\(773\) | 4811.25 | − | 10535.2i | 0.223866 | − | 0.490198i | −0.764056 | − | 0.645150i | \(-0.776795\pi\) |
0.987922 | + | 0.154952i | \(0.0495222\pi\) | |||||||
\(774\) | −1819.61 | − | 1169.39i | −0.0845018 | − | 0.0543060i | ||||
\(775\) | −12041.7 | + | 3535.76i | −0.558129 | + | 0.163882i | ||||
\(776\) | −364.372 | + | 2534.26i | −0.0168559 | + | 0.117235i | ||||
\(777\) | 4823.42 | + | 10561.8i | 0.222702 | + | 0.487648i | ||||
\(778\) | −1135.81 | − | 7899.74i | −0.0523404 | − | 0.364035i | ||||
\(779\) | −6826.70 | + | 4387.25i | −0.313982 | + | 0.201784i | ||||
\(780\) | −2832.29 | + | 3268.64i | −0.130016 | + | 0.150046i | ||||
\(781\) | −30531.9 | −1.39887 | ||||||||
\(782\) | −2387.38 | − | 1510.48i | −0.109172 | − | 0.0690725i | ||||
\(783\) | −709.679 | −0.0323906 | ||||||||
\(784\) | 5288.59 | − | 6103.35i | 0.240916 | − | 0.278032i | ||||
\(785\) | −6637.77 | + | 4265.83i | −0.301799 | + | 0.193954i | ||||
\(786\) | −664.144 | − | 4619.23i | −0.0301390 | − | 0.209621i | ||||
\(787\) | −8564.19 | − | 18753.0i | −0.387904 | − | 0.849391i | −0.998355 | − | 0.0573369i | \(-0.981739\pi\) |
0.610451 | − | 0.792054i | \(-0.290988\pi\) | |||||||
\(788\) | 1128.75 | − | 7850.60i | 0.0510278 | − | 0.354906i | ||||
\(789\) | 12653.2 | − | 3715.33i | 0.570934 | − | 0.167641i | ||||
\(790\) | −1196.74 | − | 769.100i | −0.0538965 | − | 0.0346371i | ||||
\(791\) | −1654.01 | + | 3621.77i | −0.0743485 | + | 0.162801i | ||||
\(792\) | −5877.04 | − | 1725.65i | −0.263676 | − | 0.0774223i | ||||
\(793\) | 8434.75 | + | 9734.22i | 0.377713 | + | 0.435904i | ||||
\(794\) | 1406.50 | + | 1623.19i | 0.0628652 | + | 0.0725503i | ||||
\(795\) | 12733.7 | + | 3738.96i | 0.568074 | + | 0.166802i | ||||
\(796\) | 16873.4 | − | 36947.5i | 0.751332 | − | 1.64519i | ||||
\(797\) | 5701.14 | + | 3663.90i | 0.253381 | + | 0.162838i | 0.661165 | − | 0.750240i | \(-0.270062\pi\) |
−0.407784 | + | 0.913078i | \(0.633698\pi\) | |||||||
\(798\) | −2788.98 | + | 818.919i | −0.123720 | + | 0.0363276i | ||||
\(799\) | −1023.43 | + | 7118.09i | −0.0453144 | + | 0.315169i | ||||
\(800\) | −3113.61 | − | 6817.86i | −0.137604 | − | 0.301310i | ||||
\(801\) | 920.017 | + | 6398.86i | 0.0405833 | + | 0.282263i | ||||
\(802\) | −5637.64 | + | 3623.09i | −0.248219 | + | 0.159521i | ||||
\(803\) | −43662.2 | + | 50388.8i | −1.91881 | + | 2.21442i | ||||
\(804\) | 20108.2 | 0.882042 | ||||||||
\(805\) | −10275.0 | − | 6500.90i | −0.449869 | − | 0.284629i | ||||
\(806\) | 3446.03 | 0.150597 | ||||||||
\(807\) | −9579.15 | + | 11054.9i | −0.417846 | + | 0.482220i | ||||
\(808\) | −7553.69 | + | 4854.46i | −0.328883 | + | 0.211361i | ||||
\(809\) | −2067.92 | − | 14382.7i | −0.0898692 | − | 0.625054i | −0.984122 | − | 0.177492i | \(-0.943202\pi\) |
0.894253 | − | 0.447562i | \(-0.147707\pi\) | |||||||
\(810\) | 187.965 | + | 411.586i | 0.00815361 | + | 0.0178539i | ||||
\(811\) | −3926.88 | + | 27312.1i | −0.170026 | + | 1.18256i | 0.708797 | + | 0.705413i | \(0.249238\pi\) |
−0.878823 | + | 0.477147i | \(0.841671\pi\) | |||||||
\(812\) | −2607.60 | + | 765.660i | −0.112696 | + | 0.0330904i | ||||
\(813\) | 11382.4 | + | 7315.04i | 0.491020 | + | 0.315559i | ||||
\(814\) | −5125.60 | + | 11223.5i | −0.220703 | + | 0.483272i | ||||
\(815\) | 21075.2 | + | 6188.25i | 0.905808 | + | 0.265969i | ||||
\(816\) | −3792.69 | − | 4377.00i | −0.162709 | − | 0.187777i | ||||
\(817\) | 22786.2 | + | 26296.7i | 0.975752 | + | 1.12608i | ||||
\(818\) | 9566.52 | + | 2808.98i | 0.408907 | + | 0.120066i | ||||
\(819\) | −1232.36 | + | 2698.48i | −0.0525788 | + | 0.115131i | ||||
\(820\) | 4069.49 | + | 2615.30i | 0.173308 | + | 0.111378i | ||||
\(821\) | −516.816 | + | 151.751i | −0.0219695 | + | 0.00645084i | −0.292699 | − | 0.956205i | \(-0.594553\pi\) |
0.270729 | + | 0.962656i | \(0.412735\pi\) | |||||||
\(822\) | −84.4049 | + | 587.049i | −0.00358146 | + | 0.0249096i | ||||
\(823\) | 12456.3 | + | 27275.4i | 0.527580 | + | 1.15524i | 0.966489 | + | 0.256708i | \(0.0826379\pi\) |
−0.438909 | + | 0.898532i | \(0.644635\pi\) | |||||||
\(824\) | −211.327 | − | 1469.81i | −0.00893438 | − | 0.0621400i | ||||
\(825\) | 9658.24 | − | 6206.97i | 0.407584 | − | 0.261938i | ||||
\(826\) | −477.906 | + | 551.533i | −0.0201313 | + | 0.0232328i | ||||
\(827\) | 20946.1 | 0.880734 | 0.440367 | − | 0.897818i | \(-0.354848\pi\) | ||||
0.440367 | + | 0.897818i | \(0.354848\pi\) | |||||||
\(828\) | 7458.93 | − | 52.8539i | 0.313062 | − | 0.00221836i | ||||
\(829\) | −22648.1 | −0.948857 | −0.474428 | − | 0.880294i | \(-0.657345\pi\) | ||||
−0.474428 | + | 0.880294i | \(0.657345\pi\) | |||||||
\(830\) | −578.101 | + | 667.165i | −0.0241761 | + | 0.0279008i | ||||
\(831\) | 4086.66 | − | 2626.34i | 0.170595 | − | 0.109635i | ||||
\(832\) | −1140.62 | − | 7933.16i | −0.0475285 | − | 0.330568i | ||||
\(833\) | −2344.00 | − | 5132.65i | −0.0974969 | − | 0.213488i | ||||
\(834\) | 604.114 | − | 4201.71i | 0.0250825 | − | 0.174452i | ||||
\(835\) | −17991.0 | + | 5282.63i | −0.745633 | + | 0.218938i | ||||
\(836\) | 40147.2 | + | 25801.0i | 1.66091 | + | 1.06740i | ||||
\(837\) | −2313.89 | + | 5066.71i | −0.0955551 | + | 0.209237i | ||||
\(838\) | −9752.13 | − | 2863.48i | −0.402007 | − | 0.118040i | ||||
\(839\) | 20907.6 | + | 24128.7i | 0.860323 | + | 0.992865i | 0.999996 | + | 0.00266776i | \(0.000849175\pi\) |
−0.139674 | + | 0.990198i | \(0.544605\pi\) | |||||||
\(840\) | 2342.84 | + | 2703.79i | 0.0962331 | + | 0.111059i | ||||
\(841\) | 22738.2 | + | 6676.53i | 0.932313 | + | 0.273752i | ||||
\(842\) | −749.716 | + | 1641.65i | −0.0306852 | + | 0.0671912i | ||||
\(843\) | −5248.27 | − | 3372.86i | −0.214425 | − | 0.137802i | ||||
\(844\) | 12810.6 | − | 3761.53i | 0.522463 | − | 0.153409i | ||||
\(845\) | 1850.48 | − | 12870.4i | 0.0753355 | − | 0.523970i | ||||
\(846\) | 510.516 | + | 1117.87i | 0.0207469 | + | 0.0454294i | ||||
\(847\) | −5143.33 | − | 35772.7i | −0.208651 | − | 1.45120i | ||||
\(848\) | −24421.1 | + | 15694.5i | −0.988942 | + | 0.635554i | ||||
\(849\) | 3739.57 | − | 4315.70i | 0.151168 | − | 0.174457i | ||||
\(850\) | −1558.08 | −0.0628727 | ||||||||
\(851\) | 4197.45 | − | 30738.5i | 0.169079 | − | 1.23819i | ||||
\(852\) | −10940.3 | −0.439915 | ||||||||
\(853\) | −11141.5 | + | 12858.0i | −0.447221 | + | 0.516120i | −0.933936 | − | 0.357440i | \(-0.883650\pi\) |
0.486715 | + | 0.873561i | \(0.338195\pi\) | |||||||
\(854\) | 4341.04 | − | 2789.82i | 0.173943 | − | 0.111786i | ||||
\(855\) | −1035.90 | − | 7204.86i | −0.0414352 | − | 0.288188i | ||||
\(856\) | 7868.47 | + | 17229.5i | 0.314181 | + | 0.687960i | ||||
\(857\) | −5169.09 | + | 35951.8i | −0.206036 | + | 1.43301i | 0.579891 | + | 0.814694i | \(0.303095\pi\) |
−0.785928 | + | 0.618319i | \(0.787814\pi\) | |||||||
\(858\) | −3024.73 | + | 888.140i | −0.120353 | + | 0.0353387i | ||||
\(859\) | −26167.3 | − | 16816.7i | −1.03937 | − | 0.667962i | −0.0945383 | − | 0.995521i | \(-0.530137\pi\) |
−0.944831 | + | 0.327559i | \(0.893774\pi\) | |||||||
\(860\) | 8616.58 | − | 18867.7i | 0.341654 | − | 0.748119i | ||||
\(861\) | 3183.61 | + | 934.792i | 0.126013 | + | 0.0370007i | ||||
\(862\) | −3951.29 | − | 4560.03i | −0.156127 | − | 0.180180i | ||||
\(863\) | −11076.8 | − | 12783.3i | −0.436915 | − | 0.504227i | 0.494000 | − | 0.869462i | \(-0.335534\pi\) |
−0.930915 | + | 0.365235i | \(0.880989\pi\) | |||||||
\(864\) | −3191.82 | − | 937.203i | −0.125680 | − | 0.0369031i | ||||
\(865\) | −4587.30 | + | 10044.8i | −0.180315 | + | 0.394836i | ||||
\(866\) | −5256.68 | − | 3378.26i | −0.206269 | − | 0.132561i | ||||
\(867\) | 10259.3 | − | 3012.41i | 0.401875 | − | 0.118001i | ||||
\(868\) | −3035.62 | + | 21113.2i | −0.118705 | + | 0.825609i | ||||
\(869\) | 6654.97 | + | 14572.3i | 0.259786 | + | 0.568853i | ||||
\(870\) | 62.6873 | + | 436.000i | 0.00244287 | + | 0.0169906i | ||||
\(871\) | 17975.9 | − | 11552.4i | 0.699298 | − | 0.449412i | ||||
\(872\) | 1082.10 | − | 1248.81i | 0.0420237 | − | 0.0484979i | ||||
\(873\) | −2129.92 | −0.0825736 | ||||||||
\(874\) | 7467.23 | + | 2135.22i | 0.288996 | + | 0.0826373i | ||||
\(875\) | −20484.5 | −0.791431 | ||||||||
\(876\) | −15645.1 | + | 18055.4i | −0.603425 | + | 0.696389i | ||||
\(877\) | 23203.9 | − | 14912.2i | 0.893432 | − | 0.574174i | −0.0114039 | − | 0.999935i | \(-0.503630\pi\) |
0.904835 | + | 0.425761i | \(0.139994\pi\) | |||||||
\(878\) | −1362.37 | − | 9475.49i | −0.0523664 | − | 0.364217i | ||||
\(879\) | −744.719 | − | 1630.71i | −0.0285765 | − | 0.0625738i | ||||
\(880\) | 3769.62 | − | 26218.3i | 0.144402 | − | 1.00434i | ||||
\(881\) | −12003.3 | + | 3524.47i | −0.459024 | + | 0.134782i | −0.503066 | − | 0.864248i | \(-0.667795\pi\) |
0.0440420 | + | 0.999030i | \(0.485976\pi\) | |||||||
\(882\) | −811.192 | − | 521.321i | −0.0309685 | − | 0.0199023i | ||||
\(883\) | 10700.4 | − | 23430.7i | 0.407813 | − | 0.892985i | −0.588606 | − | 0.808420i | \(-0.700323\pi\) |
0.996418 | − | 0.0845644i | \(-0.0269499\pi\) | |||||||
\(884\) | −6342.20 | − | 1862.24i | −0.241302 | − | 0.0708528i | ||||
\(885\) | −1196.76 | − | 1381.14i | −0.0454562 | − | 0.0524592i | ||||
\(886\) | −7997.68 | − | 9229.81i | −0.303259 | − | 0.349979i | ||||
\(887\) | 26985.0 | + | 7923.52i | 1.02150 | + | 0.299939i | 0.749249 | − | 0.662288i | \(-0.230415\pi\) |
0.272249 | + | 0.962227i | \(0.412233\pi\) | |||||||
\(888\) | −3792.11 | + | 8303.56i | −0.143305 | + | 0.313794i | ||||
\(889\) | 16897.3 | + | 10859.3i | 0.637479 | + | 0.409683i | ||||
\(890\) | 3849.95 | − | 1130.45i | 0.145001 | − | 0.0425761i | ||||
\(891\) | 725.163 | − | 5043.62i | 0.0272658 | − | 0.189638i | ||||
\(892\) | 8563.46 | + | 18751.4i | 0.321442 | + | 0.703859i | ||||
\(893\) | −2813.52 | − | 19568.5i | −0.105432 | − | 0.733297i | ||||
\(894\) | −4905.31 | + | 3152.45i | −0.183510 | + | 0.117935i | ||||
\(895\) | 18992.3 | − | 21918.3i | 0.709323 | − | 0.818602i | ||||
\(896\) | −16774.4 | −0.625440 | ||||||||
\(897\) | 6637.59 | − | 4332.48i | 0.247071 | − | 0.161268i | ||||
\(898\) | 2168.27 | 0.0805746 | ||||||||
\(899\) | −3550.94 | + | 4098.00i | −0.131736 | + | 0.152031i | ||||
\(900\) | 3460.76 | − | 2224.10i | 0.128176 | − | 0.0823740i | ||||
\(901\) | 2886.51 | + | 20076.1i | 0.106730 | + | 0.742323i | ||||
\(902\) | 1464.71 | + | 3207.26i | 0.0540680 | + | 0.118392i | ||||
\(903\) | 2024.73 | − | 14082.3i | 0.0746168 | − | 0.518971i | ||||
\(904\) | −3003.47 | + | 881.897i | −0.110502 | + | 0.0324463i | ||||
\(905\) | −11855.1 | − | 7618.83i | −0.435445 | − | 0.279844i | ||||
\(906\) | 1829.35 | − | 4005.71i | 0.0670817 | − | 0.146888i | ||||
\(907\) | −22946.0 | − | 6737.55i | −0.840032 | − | 0.246656i | −0.166711 | − | 0.986006i | \(-0.553315\pi\) |
−0.673321 | + | 0.739350i | \(0.735133\pi\) | |||||||
\(908\) | 5969.83 | + | 6889.55i | 0.218189 | + | 0.251804i | ||||
\(909\) | −4891.58 | − | 5645.19i | −0.178486 | − | 0.205984i | ||||
\(910\) | 1766.70 | + | 518.751i | 0.0643579 | + | 0.0188972i | ||||
\(911\) | 746.393 | − | 1634.37i | 0.0271450 | − | 0.0594393i | −0.895574 | − | 0.444913i | \(-0.853235\pi\) |
0.922719 | + | 0.385474i | \(0.125962\pi\) | |||||||
\(912\) | 13394.3 | + | 8607.98i | 0.486325 | + | 0.312542i | ||||
\(913\) | 9538.65 | − | 2800.80i | 0.345765 | − | 0.101526i | ||||
\(914\) | −431.313 | + | 2999.85i | −0.0156089 | + | 0.108563i | ||||
\(915\) | 5368.02 | + | 11754.3i | 0.193947 | + | 0.424684i | ||||
\(916\) | 3115.01 | + | 21665.4i | 0.112361 | + | 0.781489i | ||||
\(917\) | 25823.0 | − | 16595.4i | 0.929935 | − | 0.597633i | ||||
\(918\) | −452.849 | + | 522.616i | −0.0162813 | + | 0.0187896i | ||||
\(919\) | −46770.4 | −1.67880 | −0.839398 | − | 0.543518i | \(-0.817092\pi\) | ||||
−0.839398 | + | 0.543518i | \(0.817092\pi\) | |||||||
\(920\) | −1427.41 | − | 9451.92i | −0.0511526 | − | 0.338718i | ||||
\(921\) | −30707.1 | −1.09862 | ||||||||
\(922\) | −3558.83 | + | 4107.11i | −0.127119 | + | 0.146703i | ||||
\(923\) | −9780.12 | + | 6285.30i | −0.348772 | + | 0.224142i | ||||
\(924\) | −2776.98 | − | 19314.3i | −0.0988700 | − | 0.687656i | ||||
\(925\) | −7107.80 | − | 15563.9i | −0.252652 | − | 0.553230i | ||||
\(926\) | −256.638 | + | 1784.96i | −0.00910761 | + | 0.0633448i | ||||
\(927\) | 1185.26 | − | 348.025i | 0.0419948 | − | 0.0123308i | ||||
\(928\) | −2724.32 | − | 1750.81i | −0.0963687 | − | 0.0619324i | ||||
\(929\) | −16276.9 | + | 35641.5i | −0.574843 | + | 1.25873i | 0.369336 | + | 0.929296i | \(0.379585\pi\) |
−0.944178 | + | 0.329434i | \(0.893142\pi\) | |||||||
\(930\) | 3317.18 | + | 974.013i | 0.116962 | + | 0.0343432i | ||||
\(931\) | 10158.2 | + | 11723.2i | 0.357597 | + | 0.412689i | ||||
\(932\) | −34374.6 | − | 39670.4i | −1.20813 | − | 1.39426i | ||||
\(933\) | −28156.1 | − | 8267.39i | −0.987985 | − | 0.290099i | ||||
\(934\) | 4549.79 | − | 9962.64i | 0.159394 | − | 0.349023i | ||||
\(935\) | −15569.0 | − | 10005.6i | −0.544556 | − | 0.349965i | ||||
\(936\) | −2237.80 | + | 657.079i | −0.0781463 | + | 0.0229458i | ||||
\(937\) | 6030.37 | − | 41942.1i | 0.210249 | − | 1.46232i | −0.562075 | − | 0.827087i | \(-0.689997\pi\) |
0.772324 | − | 0.635229i | \(-0.219094\pi\) | |||||||
\(938\) | −3556.22 | − | 7787.04i | −0.123790 | − | 0.271062i | ||||
\(939\) | 471.574 | + | 3279.87i | 0.0163890 | + | 0.113988i | ||||
\(940\) | −9914.16 | + | 6371.44i | −0.344005 | + | 0.221078i | ||||
\(941\) | −14597.5 | + | 16846.5i | −0.505703 | + | 0.583612i | −0.949993 | − | 0.312271i | \(-0.898910\pi\) |
0.444290 | + | 0.895883i | \(0.353456\pi\) | |||||||
\(942\) | −2060.75 | −0.0712768 | ||||||||
\(943\) | −5852.96 | − | 6658.75i | −0.202119 | − | 0.229946i | ||||
\(944\) | 3997.44 | 0.137824 | ||||||||
\(945\) | −1949.00 | + | 2249.27i | −0.0670910 | + | 0.0774271i | ||||
\(946\) | 12718.5 | − | 8173.67i | 0.437118 | − | 0.280918i | ||||
\(947\) | −5036.04 | − | 35026.4i | −0.172808 | − | 1.20191i | −0.872916 | − | 0.487870i | \(-0.837774\pi\) |
0.700108 | − | 0.714037i | \(-0.253135\pi\) | |||||||
\(948\) | 2384.62 | + | 5221.60i | 0.0816973 | + | 0.178892i | ||||
\(949\) | −3613.02 | + | 25129.1i | −0.123586 | + | 0.859562i | ||||
\(950\) | 4109.85 | − | 1206.76i | 0.140359 | − | 0.0412131i | ||||
\(951\) | −15445.0 | − | 9925.87i | −0.526642 | − | 0.338452i | ||||
\(952\) | −2271.36 | + | 4973.58i | −0.0773269 | + | 0.169322i | ||||
\(953\) | 18437.5 | + | 5413.74i | 0.626705 | + | 0.184017i | 0.579637 | − | 0.814875i | \(-0.303194\pi\) |
0.0470676 | + | 0.998892i | \(0.485012\pi\) | |||||||
\(954\) | 2269.82 | + | 2619.52i | 0.0770317 | + | 0.0888994i | ||||
\(955\) | 23158.7 | + | 26726.5i | 0.784709 | + | 0.905603i | ||||
\(956\) | 15864.1 | + | 4658.11i | 0.536696 | + | 0.157588i | ||||
\(957\) | 2060.64 | − | 4512.17i | 0.0696039 | − | 0.152411i | ||||
\(958\) | 8447.05 | + | 5428.59i | 0.284876 | + | 0.183079i | ||||
\(959\) | −3743.06 | + | 1099.06i | −0.126037 | + | 0.0370079i | ||||
\(960\) | 1144.32 | − | 7958.93i | 0.0384717 | − | 0.267576i | ||||
\(961\) | 5304.06 | + | 11614.3i | 0.178042 | + | 0.389858i | ||||
\(962\) | 668.616 | + | 4650.32i | 0.0224086 | + | 0.155855i | ||||
\(963\) | −13255.7 | + | 8518.94i | −0.443572 | + | 0.285066i | ||||
\(964\) | 25806.0 | − | 29781.8i | 0.862195 | − | 0.995027i | ||||
\(965\) | 13449.5 | 0.448657 | ||||||||
\(966\) | −1339.61 | − | 2879.17i | −0.0446183 | − | 0.0958963i | ||||
\(967\) | 33557.6 | 1.11597 | 0.557984 | − | 0.829852i | \(-0.311575\pi\) | ||||
0.557984 | + | 0.829852i | \(0.311575\pi\) | |||||||
\(968\) | 18606.7 | − | 21473.3i | 0.617812 | − | 0.712993i | ||||
\(969\) | 9358.47 | − | 6014.32i | 0.310255 | − | 0.199389i | ||||
\(970\) | 188.140 | + | 1308.54i | 0.00622763 | + | 0.0433142i | ||||
\(971\) | −768.064 | − | 1681.83i | −0.0253845 | − | 0.0555843i | 0.896515 | − | 0.443013i | \(-0.146091\pi\) |
−0.921900 | + | 0.387429i | \(0.873363\pi\) | |||||||
\(972\) | 259.842 | − | 1807.24i | 0.00857452 | − | 0.0596371i | ||||
\(973\) | 26790.3 | − | 7866.36i | 0.882692 | − | 0.259182i | ||||
\(974\) | 9067.31 | + | 5827.21i | 0.298291 | + | 0.191700i | ||||
\(975\) | 1816.00 | − | 3976.49i | 0.0596499 | − | 0.130615i | ||||
\(976\) | −27120.5 | − | 7963.29i | −0.889452 | − | 0.261167i | ||||
\(977\) | 10921.3 | + | 12603.8i | 0.357629 | + | 0.412725i | 0.905844 | − | 0.423612i | \(-0.139238\pi\) |
−0.548215 | + | 0.836337i | \(0.684693\pi\) | |||||||
\(978\) | 3756.72 | + | 4335.49i | 0.122829 | + | 0.141752i | ||||
\(979\) | −43355.6 | − | 12730.4i | −1.41537 | − | 0.415591i | ||||
\(980\) | 3841.32 | − | 8411.32i | 0.125211 | − | 0.274173i | ||||
\(981\) | 1156.42 | + | 743.185i | 0.0376367 | + | 0.0241876i | ||||
\(982\) | −6305.25 | + | 1851.39i | −0.204897 | + | 0.0601631i | ||||
\(983\) | −404.126 | + | 2810.76i | −0.0131125 | + | 0.0911997i | −0.995327 | − | 0.0965639i | \(-0.969215\pi\) |
0.982214 | + | 0.187764i | \(0.0601239\pi\) | |||||||
\(984\) | 1083.64 | + | 2372.85i | 0.0351070 | + | 0.0768736i | ||||
\(985\) | −1203.36 | − | 8369.52i | −0.0389260 | − | 0.270736i | ||||
\(986\) | −566.325 | + | 363.955i | −0.0182915 | + | 0.0117553i | ||||
\(987\) | −5293.51 | + | 6109.03i | −0.170713 | + | 0.197014i | ||||
\(988\) | 18171.5 | 0.585135 | ||||||||
\(989\) | −24689.5 | + | 28904.5i | −0.793812 | + | 0.929333i | ||||
\(990\) | −3162.66 | −0.101531 | ||||||||
\(991\) | 8737.97 | − | 10084.1i | 0.280091 | − | 0.323243i | −0.598220 | − | 0.801332i | \(-0.704125\pi\) |
0.878311 | + | 0.478089i | \(0.158670\pi\) | |||||||
\(992\) | −21382.4 | + | 13741.6i | −0.684366 | + | 0.439815i | ||||
\(993\) | 1711.86 | + | 11906.3i | 0.0547073 | + | 0.380498i | ||||
\(994\) | 1934.83 | + | 4236.69i | 0.0617395 | + | 0.135191i | ||||
\(995\) | 6162.65 | − | 42862.2i | 0.196351 | − | 1.36565i | ||||
\(996\) | 3417.91 | − | 1003.59i | 0.108736 | − | 0.0319277i | ||||
\(997\) | 22801.1 | + | 14653.4i | 0.724291 | + | 0.465473i | 0.850127 | − | 0.526578i | \(-0.176525\pi\) |
−0.125836 | + | 0.992051i | \(0.540161\pi\) | |||||||
\(998\) | 624.175 | − | 1366.75i | 0.0197975 | − | 0.0433505i | ||||
\(999\) | −7286.33 | − | 2139.46i | −0.230760 | − | 0.0677573i |
(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 | 69.4.e.a.16.3 | yes | 60 | |
3.2 | odd | 2 | 207.4.i.c.154.4 | 60 | |||
23.6 | even | 11 | 1587.4.a.t.1.17 | 30 | |||
23.13 | even | 11 | inner | 69.4.e.a.13.3 | ✓ | 60 | |
23.17 | odd | 22 | 1587.4.a.u.1.17 | 30 | |||
69.59 | odd | 22 | 207.4.i.c.82.4 | 60 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.4.e.a.13.3 | ✓ | 60 | 23.13 | even | 11 | inner | |
69.4.e.a.16.3 | yes | 60 | 1.1 | even | 1 | trivial | |
207.4.i.c.82.4 | 60 | 69.59 | odd | 22 | |||
207.4.i.c.154.4 | 60 | 3.2 | odd | 2 | |||
1587.4.a.t.1.17 | 30 | 23.6 | even | 11 | |||
1587.4.a.u.1.17 | 30 | 23.17 | odd | 22 |