Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [950,2,Mod(11,950)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(950, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([24, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("950.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 950 = 2 \cdot 5^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 950.r (of order \(15\), degree \(8\), 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: | \(7.58578819202\) |
Analytic rank: | \(0\) |
Dimension: | \(200\) |
Relative dimension: | \(25\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 11.9 | ||
Character | \(\chi\) | \(=\) | 950.11 |
Dual form | 950.2.r.a.691.9 |
$q$-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 \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).
\(n\) | \(77\) | \(401\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.104528 | + | 0.994522i | 0.0739128 | + | 0.703233i | ||||
\(3\) | −0.588897 | − | 0.654036i | −0.340000 | − | 0.377608i | 0.548761 | − | 0.835979i | \(-0.315100\pi\) |
−0.888761 | + | 0.458371i | \(0.848433\pi\) | |||||||
\(4\) | −0.978148 | + | 0.207912i | −0.489074 | + | 0.103956i | ||||
\(5\) | −2.19070 | − | 0.448160i | −0.979709 | − | 0.200423i | ||||
\(6\) | 0.588897 | − | 0.654036i | 0.240416 | − | 0.267009i | ||||
\(7\) | −3.02472 | −1.14324 | −0.571618 | − | 0.820520i | \(-0.693684\pi\) | ||||
−0.571618 | + | 0.820520i | \(0.693684\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | 0.232622 | − | 2.21325i | 0.0775405 | − | 0.737749i | ||||
\(10\) | 0.216715 | − | 2.22554i | 0.0685313 | − | 0.703778i | ||||
\(11\) | 0.760299 | − | 0.552389i | 0.229239 | − | 0.166552i | −0.467237 | − | 0.884132i | \(-0.654750\pi\) |
0.696476 | + | 0.717581i | \(0.254750\pi\) | |||||||
\(12\) | 0.712010 | + | 0.517305i | 0.205539 | + | 0.149333i | ||||
\(13\) | −0.363850 | + | 3.46181i | −0.100914 | + | 0.960132i | 0.820525 | + | 0.571610i | \(0.193681\pi\) |
−0.921439 | + | 0.388522i | \(0.872986\pi\) | |||||||
\(14\) | −0.316169 | − | 3.00815i | −0.0844998 | − | 0.803962i | ||||
\(15\) | 0.996981 | + | 1.69671i | 0.257419 | + | 0.438090i | ||||
\(16\) | 0.913545 | − | 0.406737i | 0.228386 | − | 0.101684i | ||||
\(17\) | −3.38520 | − | 0.719546i | −0.821032 | − | 0.174516i | −0.221801 | − | 0.975092i | \(-0.571193\pi\) |
−0.599231 | + | 0.800576i | \(0.704527\pi\) | |||||||
\(18\) | 2.22544 | 0.524541 | ||||||||
\(19\) | 2.63133 | + | 3.47507i | 0.603669 | + | 0.797235i | ||||
\(20\) | 2.23600 | − | 0.0171045i | 0.499985 | − | 0.00382469i | ||||
\(21\) | 1.78125 | + | 1.97828i | 0.388700 | + | 0.431695i | ||||
\(22\) | 0.628836 | + | 0.698393i | 0.134068 | + | 0.148898i | ||||
\(23\) | 8.52889 | + | 3.79731i | 1.77840 | + | 0.791794i | 0.982475 | + | 0.186395i | \(0.0596805\pi\) |
0.795923 | + | 0.605398i | \(0.206986\pi\) | |||||||
\(24\) | −0.440046 | + | 0.762182i | −0.0898240 | + | 0.155580i | ||||
\(25\) | 4.59830 | + | 1.96357i | 0.919661 | + | 0.392713i | ||||
\(26\) | −3.48087 | −0.682656 | ||||||||
\(27\) | −3.72056 | + | 2.70315i | −0.716022 | + | 0.520221i | ||||
\(28\) | 2.95862 | − | 0.628875i | 0.559127 | − | 0.118846i | ||||
\(29\) | 8.18799 | − | 1.74041i | 1.52047 | − | 0.323186i | 0.629411 | − | 0.777072i | \(-0.283296\pi\) |
0.891060 | + | 0.453886i | \(0.149963\pi\) | |||||||
\(30\) | −1.58321 | + | 1.16887i | −0.289053 | + | 0.213406i | ||||
\(31\) | −2.11867 | − | 6.52061i | −0.380525 | − | 1.17114i | −0.939675 | − | 0.342069i | \(-0.888872\pi\) |
0.559150 | − | 0.829067i | \(-0.311128\pi\) | |||||||
\(32\) | 0.500000 | + | 0.866025i | 0.0883883 | + | 0.153093i | ||||
\(33\) | −0.809020 | − | 0.171962i | −0.140832 | − | 0.0299348i | ||||
\(34\) | 0.361755 | − | 3.44187i | 0.0620405 | − | 0.590276i | ||||
\(35\) | 6.62624 | + | 1.35556i | 1.12004 | + | 0.229131i | ||||
\(36\) | 0.232622 | + | 2.21325i | 0.0387703 | + | 0.368874i | ||||
\(37\) | 7.02537 | + | 5.10423i | 1.15496 | + | 0.839130i | 0.989133 | − | 0.147025i | \(-0.0469697\pi\) |
0.165830 | + | 0.986154i | \(0.446970\pi\) | |||||||
\(38\) | −3.18098 | + | 2.98016i | −0.516024 | + | 0.483446i | ||||
\(39\) | 2.47842 | − | 1.80067i | 0.396864 | − | 0.288339i | ||||
\(40\) | 0.250737 | + | 2.22197i | 0.0396450 | + | 0.351324i | ||||
\(41\) | −7.01458 | + | 3.12309i | −1.09549 | + | 0.487745i | −0.873263 | − | 0.487249i | \(-0.838000\pi\) |
−0.222230 | + | 0.974994i | \(0.571334\pi\) | |||||||
\(42\) | −1.78125 | + | 1.97828i | −0.274852 | + | 0.305255i | ||||
\(43\) | −1.01966 | + | 1.76611i | −0.155497 | + | 0.269329i | −0.933240 | − | 0.359254i | \(-0.883031\pi\) |
0.777743 | + | 0.628583i | \(0.216365\pi\) | |||||||
\(44\) | −0.628836 | + | 0.698393i | −0.0948006 | + | 0.105287i | ||||
\(45\) | −1.50149 | + | 4.74430i | −0.223829 | + | 0.707239i | ||||
\(46\) | −2.88499 | + | 8.87910i | −0.425369 | + | 1.30915i | ||||
\(47\) | 1.31042 | − | 0.278538i | 0.191144 | − | 0.0406289i | −0.111345 | − | 0.993782i | \(-0.535516\pi\) |
0.302489 | + | 0.953153i | \(0.402183\pi\) | |||||||
\(48\) | −0.804004 | − | 0.357966i | −0.116048 | − | 0.0516679i | ||||
\(49\) | 2.14893 | 0.306990 | ||||||||
\(50\) | −1.47216 | + | 4.77836i | −0.208194 | + | 0.675763i | ||||
\(51\) | 1.52292 | + | 2.63778i | 0.213252 | + | 0.369363i | ||||
\(52\) | −0.363850 | − | 3.46181i | −0.0504570 | − | 0.480066i | ||||
\(53\) | −3.20512 | + | 0.681270i | −0.440257 | + | 0.0935796i | −0.422707 | − | 0.906266i | \(-0.638920\pi\) |
−0.0175504 | + | 0.999846i | \(0.505587\pi\) | |||||||
\(54\) | −3.07724 | − | 3.41762i | −0.418760 | − | 0.465080i | ||||
\(55\) | −1.91314 | + | 0.869382i | −0.257968 | + | 0.117227i | ||||
\(56\) | 0.934690 | + | 2.87668i | 0.124903 | + | 0.384413i | ||||
\(57\) | 0.723238 | − | 3.76744i | 0.0957952 | − | 0.499010i | ||||
\(58\) | 2.58675 | + | 7.96121i | 0.339657 | + | 1.04536i | ||||
\(59\) | 8.38040 | − | 3.73119i | 1.09103 | − | 0.485760i | 0.219260 | − | 0.975667i | \(-0.429636\pi\) |
0.871775 | + | 0.489907i | \(0.162969\pi\) | |||||||
\(60\) | −1.32796 | − | 1.45235i | −0.171439 | − | 0.187498i | ||||
\(61\) | 0.261597 | + | 0.116470i | 0.0334940 | + | 0.0149125i | 0.423415 | − | 0.905936i | \(-0.360831\pi\) |
−0.389921 | + | 0.920848i | \(0.627498\pi\) | |||||||
\(62\) | 6.26342 | − | 2.78866i | 0.795456 | − | 0.354160i | ||||
\(63\) | −0.703615 | + | 6.69445i | −0.0886472 | + | 0.843422i | ||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | 2.34853 | − | 7.42070i | 0.291299 | − | 0.920425i | ||||
\(66\) | 0.0864549 | − | 0.822563i | 0.0106419 | − | 0.101251i | ||||
\(67\) | 1.11630 | − | 1.23978i | 0.136378 | − | 0.151463i | −0.671087 | − | 0.741379i | \(-0.734172\pi\) |
0.807465 | + | 0.589915i | \(0.200839\pi\) | |||||||
\(68\) | 3.46083 | 0.419687 | ||||||||
\(69\) | −2.53906 | − | 7.81443i | −0.305667 | − | 0.940746i | ||||
\(70\) | −0.655502 | + | 6.73164i | −0.0783475 | + | 0.804585i | ||||
\(71\) | 2.28107 | + | 2.53339i | 0.270713 | + | 0.300658i | 0.863138 | − | 0.504968i | \(-0.168496\pi\) |
−0.592425 | + | 0.805626i | \(0.701829\pi\) | |||||||
\(72\) | −2.17681 | + | 0.462695i | −0.256539 | + | 0.0545291i | ||||
\(73\) | 0.535823 | + | 5.09802i | 0.0627133 | + | 0.596678i | 0.980076 | + | 0.198624i | \(0.0636474\pi\) |
−0.917362 | + | 0.398053i | \(0.869686\pi\) | |||||||
\(74\) | −4.34191 | + | 7.52042i | −0.504737 | + | 0.874231i | ||||
\(75\) | −1.42368 | − | 4.16379i | −0.164393 | − | 0.480794i | ||||
\(76\) | −3.29634 | − | 2.85205i | −0.378116 | − | 0.327152i | ||||
\(77\) | −2.29969 | + | 1.67082i | −0.262074 | + | 0.190408i | ||||
\(78\) | 2.04988 | + | 2.27662i | 0.232103 | + | 0.257776i | ||||
\(79\) | 4.09207 | + | 4.54471i | 0.460394 | + | 0.511319i | 0.927981 | − | 0.372628i | \(-0.121543\pi\) |
−0.467587 | + | 0.883947i | \(0.654876\pi\) | |||||||
\(80\) | −2.18358 | + | 0.481622i | −0.244132 | + | 0.0538470i | ||||
\(81\) | −2.57144 | − | 0.546576i | −0.285715 | − | 0.0607307i | ||||
\(82\) | −3.83921 | − | 6.64970i | −0.423969 | − | 0.734337i | ||||
\(83\) | 0.712309 | + | 2.19226i | 0.0781861 | + | 0.240632i | 0.982508 | − | 0.186218i | \(-0.0596231\pi\) |
−0.904322 | + | 0.426850i | \(0.859623\pi\) | |||||||
\(84\) | −2.15363 | − | 1.56470i | −0.234980 | − | 0.170723i | ||||
\(85\) | 7.09347 | + | 3.09342i | 0.769395 | + | 0.335529i | ||||
\(86\) | −1.86302 | − | 0.829469i | −0.200894 | − | 0.0894439i | ||||
\(87\) | −5.96017 | − | 4.33031i | −0.638997 | − | 0.464258i | ||||
\(88\) | −0.760299 | − | 0.552389i | −0.0810481 | − | 0.0588849i | ||||
\(89\) | 1.44999 | + | 0.645577i | 0.153699 | + | 0.0684311i | 0.482144 | − | 0.876092i | \(-0.339858\pi\) |
−0.328446 | + | 0.944523i | \(0.606525\pi\) | |||||||
\(90\) | −4.87526 | − | 0.997353i | −0.513897 | − | 0.105130i | ||||
\(91\) | 1.10055 | − | 10.4710i | 0.115369 | − | 1.09766i | ||||
\(92\) | −9.13202 | − | 1.94107i | −0.952079 | − | 0.202371i | ||||
\(93\) | −3.01703 | + | 5.22565i | −0.312852 | + | 0.541875i | ||||
\(94\) | 0.413987 | + | 1.27412i | 0.0426995 | + | 0.131416i | ||||
\(95\) | −4.20706 | − | 8.79208i | −0.431635 | − | 0.902048i | ||||
\(96\) | 0.271963 | − | 0.837017i | 0.0277572 | − | 0.0854277i | ||||
\(97\) | −0.912570 | − | 1.01351i | −0.0926574 | − | 0.102906i | 0.695033 | − | 0.718978i | \(-0.255390\pi\) |
−0.787690 | + | 0.616072i | \(0.788723\pi\) | |||||||
\(98\) | 0.224625 | + | 2.13716i | 0.0226905 | + | 0.215886i | ||||
\(99\) | −1.04571 | − | 1.81123i | −0.105098 | − | 0.182035i | ||||
\(100\) | −4.90607 | − | 0.964617i | −0.490607 | − | 0.0964617i | ||||
\(101\) | 5.45440 | + | 9.44729i | 0.542733 | + | 0.940041i | 0.998746 | + | 0.0500676i | \(0.0159437\pi\) |
−0.456013 | + | 0.889973i | \(0.650723\pi\) | |||||||
\(102\) | −2.46414 | + | 1.79030i | −0.243986 | + | 0.177267i | ||||
\(103\) | 4.88326 | − | 15.0291i | 0.481162 | − | 1.48086i | −0.356302 | − | 0.934371i | \(-0.615962\pi\) |
0.837464 | − | 0.546493i | \(-0.184038\pi\) | |||||||
\(104\) | 3.40481 | − | 0.723714i | 0.333869 | − | 0.0709660i | ||||
\(105\) | −3.01559 | − | 5.13209i | −0.294291 | − | 0.500840i | ||||
\(106\) | −1.01256 | − | 3.11635i | −0.0983489 | − | 0.302687i | ||||
\(107\) | 7.36107 | 0.711622 | 0.355811 | − | 0.934558i | \(-0.384205\pi\) | ||||
0.355811 | + | 0.934558i | \(0.384205\pi\) | |||||||
\(108\) | 3.07724 | − | 3.41762i | 0.296108 | − | 0.328861i | ||||
\(109\) | −3.33491 | + | 1.48480i | −0.319426 | + | 0.142218i | −0.560186 | − | 0.828367i | \(-0.689270\pi\) |
0.240759 | + | 0.970585i | \(0.422604\pi\) | |||||||
\(110\) | −1.06460 | − | 1.81179i | −0.101505 | − | 0.172747i | ||||
\(111\) | −0.798866 | − | 7.60070i | −0.0758250 | − | 0.721427i | ||||
\(112\) | −2.76322 | + | 1.23026i | −0.261100 | + | 0.116249i | ||||
\(113\) | 9.57518 | + | 6.95678i | 0.900758 | + | 0.654439i | 0.938660 | − | 0.344843i | \(-0.112068\pi\) |
−0.0379029 | + | 0.999281i | \(0.512068\pi\) | |||||||
\(114\) | 3.82240 | + | 0.325471i | 0.358001 | + | 0.0304832i | ||||
\(115\) | −16.9824 | − | 12.1411i | −1.58362 | − | 1.13216i | ||||
\(116\) | −7.64721 | + | 3.40476i | −0.710025 | + | 0.316124i | ||||
\(117\) | 7.57719 | + | 1.61058i | 0.700512 | + | 0.148898i | ||||
\(118\) | 4.58674 | + | 7.94447i | 0.422244 | + | 0.731348i | ||||
\(119\) | 10.2393 | + | 2.17643i | 0.938634 | + | 0.199513i | ||||
\(120\) | 1.30559 | − | 1.47250i | 0.119183 | − | 0.134420i | ||||
\(121\) | −3.12627 | + | 9.62166i | −0.284206 | + | 0.874696i | ||||
\(122\) | −0.0884880 | + | 0.272338i | −0.00801132 | + | 0.0246563i | ||||
\(123\) | 6.17348 | + | 2.74861i | 0.556644 | + | 0.247834i | ||||
\(124\) | 3.42809 | + | 5.93762i | 0.307851 | + | 0.533214i | ||||
\(125\) | −9.19350 | − | 6.36236i | −0.822292 | − | 0.569066i | ||||
\(126\) | −6.73133 | −0.599674 | ||||||||
\(127\) | −0.907358 | − | 0.403982i | −0.0805150 | − | 0.0358476i | 0.366084 | − | 0.930582i | \(-0.380698\pi\) |
−0.446599 | + | 0.894734i | \(0.647365\pi\) | |||||||
\(128\) | −0.669131 | − | 0.743145i | −0.0591433 | − | 0.0656853i | ||||
\(129\) | 1.75558 | − | 0.373159i | 0.154570 | − | 0.0328548i | ||||
\(130\) | 7.62554 | + | 1.55999i | 0.668804 | + | 0.136820i | ||||
\(131\) | 9.55142 | + | 2.03022i | 0.834511 | + | 0.177381i | 0.605302 | − | 0.795996i | \(-0.293052\pi\) |
0.229210 | + | 0.973377i | \(0.426386\pi\) | |||||||
\(132\) | 0.827094 | 0.0719893 | ||||||||
\(133\) | −7.95904 | − | 10.5111i | −0.690136 | − | 0.911429i | ||||
\(134\) | 1.34968 | + | 0.980597i | 0.116594 | + | 0.0847107i | ||||
\(135\) | 9.36206 | − | 4.25437i | 0.805758 | − | 0.366157i | ||||
\(136\) | 0.361755 | + | 3.44187i | 0.0310202 | + | 0.295138i | ||||
\(137\) | −2.31014 | + | 21.9795i | −0.197368 | + | 1.87783i | 0.229202 | + | 0.973379i | \(0.426388\pi\) |
−0.426570 | + | 0.904455i | \(0.640278\pi\) | |||||||
\(138\) | 7.50621 | − | 3.34198i | 0.638971 | − | 0.284488i | ||||
\(139\) | −14.0854 | − | 6.27123i | −1.19471 | − | 0.531919i | −0.289621 | − | 0.957141i | \(-0.593529\pi\) |
−0.905089 | + | 0.425223i | \(0.860196\pi\) | |||||||
\(140\) | −6.76328 | + | 0.0517364i | −0.571602 | + | 0.00437253i | ||||
\(141\) | −0.953873 | − | 0.693029i | −0.0803306 | − | 0.0583636i | ||||
\(142\) | −2.28107 | + | 2.53339i | −0.191423 | + | 0.212597i | ||||
\(143\) | 1.63563 | + | 2.83299i | 0.136778 | + | 0.236907i | ||||
\(144\) | −0.687698 | − | 2.11652i | −0.0573082 | − | 0.176376i | ||||
\(145\) | −18.7174 | + | 0.143181i | −1.55439 | + | 0.0118905i | ||||
\(146\) | −5.01408 | + | 1.06578i | −0.414968 | + | 0.0882042i | ||||
\(147\) | −1.26550 | − | 1.40548i | −0.104377 | − | 0.115922i | ||||
\(148\) | −7.93307 | − | 3.53203i | −0.652095 | − | 0.290331i | ||||
\(149\) | 3.86604 | − | 6.69618i | 0.316718 | − | 0.548572i | −0.663083 | − | 0.748546i | \(-0.730752\pi\) |
0.979801 | + | 0.199974i | \(0.0640857\pi\) | |||||||
\(150\) | 3.99217 | − | 1.85112i | 0.325959 | − | 0.151143i | ||||
\(151\) | −7.51127 | −0.611258 | −0.305629 | − | 0.952151i | \(-0.598867\pi\) | ||||
−0.305629 | + | 0.952151i | \(0.598867\pi\) | |||||||
\(152\) | 2.49186 | − | 3.57640i | 0.202117 | − | 0.290084i | ||||
\(153\) | −2.38000 | + | 7.32490i | −0.192412 | + | 0.592183i | ||||
\(154\) | −1.90205 | − | 2.11244i | −0.153272 | − | 0.170226i | ||||
\(155\) | 1.71909 | + | 15.2342i | 0.138081 | + | 1.22364i | ||||
\(156\) | −2.04988 | + | 2.27662i | −0.164121 | + | 0.182275i | ||||
\(157\) | 5.59350 | − | 9.68822i | 0.446410 | − | 0.773204i | −0.551740 | − | 0.834016i | \(-0.686036\pi\) |
0.998149 | + | 0.0608124i | \(0.0193691\pi\) | |||||||
\(158\) | −4.09207 | + | 4.54471i | −0.325548 | + | 0.361557i | ||||
\(159\) | 2.33306 | + | 1.69507i | 0.185024 | + | 0.134428i | ||||
\(160\) | −0.707230 | − | 2.12128i | −0.0559115 | − | 0.167702i | ||||
\(161\) | −25.7975 | − | 11.4858i | −2.03313 | − | 0.905207i | ||||
\(162\) | 0.274794 | − | 2.61449i | 0.0215898 | − | 0.205413i | ||||
\(163\) | −1.79212 | − | 1.30205i | −0.140370 | − | 0.101985i | 0.515384 | − | 0.856959i | \(-0.327649\pi\) |
−0.655754 | + | 0.754975i | \(0.727649\pi\) | |||||||
\(164\) | 6.21197 | − | 4.51326i | 0.485073 | − | 0.352426i | ||||
\(165\) | 1.69525 | + | 0.739288i | 0.131975 | + | 0.0575535i | ||||
\(166\) | −2.10580 | + | 0.937561i | −0.163442 | + | 0.0727688i | ||||
\(167\) | −3.82658 | + | 4.24985i | −0.296110 | + | 0.328863i | −0.872780 | − | 0.488114i | \(-0.837685\pi\) |
0.576670 | + | 0.816977i | \(0.304352\pi\) | |||||||
\(168\) | 1.33102 | − | 2.30539i | 0.102690 | − | 0.177865i | ||||
\(169\) | 0.864206 | + | 0.183693i | 0.0664774 | + | 0.0141302i | ||||
\(170\) | −2.33500 | + | 7.37797i | −0.179087 | + | 0.565864i | ||||
\(171\) | 8.30329 | − | 5.01541i | 0.634968 | − | 0.383538i | ||||
\(172\) | 0.630187 | − | 1.93952i | 0.0480513 | − | 0.147887i | ||||
\(173\) | −0.704584 | − | 6.70367i | −0.0535685 | − | 0.509670i | −0.988103 | − | 0.153797i | \(-0.950850\pi\) |
0.934534 | − | 0.355874i | \(-0.115817\pi\) | |||||||
\(174\) | 3.68359 | − | 6.38016i | 0.279252 | − | 0.483679i | ||||
\(175\) | −13.9086 | − | 5.93924i | −1.05139 | − | 0.448964i | ||||
\(176\) | 0.469891 | − | 0.813874i | 0.0354193 | − | 0.0613481i | ||||
\(177\) | −7.37552 | − | 3.28379i | −0.554378 | − | 0.246825i | ||||
\(178\) | −0.490476 | + | 1.50953i | −0.0367627 | + | 0.113144i | ||||
\(179\) | 4.38031 | − | 13.4812i | 0.327399 | − | 1.00763i | −0.642946 | − | 0.765911i | \(-0.722288\pi\) |
0.970346 | − | 0.241721i | \(-0.0777118\pi\) | |||||||
\(180\) | 0.482286 | − | 4.95280i | 0.0359475 | − | 0.369160i | ||||
\(181\) | −1.70927 | + | 1.89834i | −0.127049 | + | 0.141103i | −0.803313 | − | 0.595557i | \(-0.796931\pi\) |
0.676264 | + | 0.736660i | \(0.263598\pi\) | |||||||
\(182\) | 10.5287 | 0.780437 | ||||||||
\(183\) | −0.0778776 | − | 0.239683i | −0.00575688 | − | 0.0177178i | ||||
\(184\) | 0.975882 | − | 9.28489i | 0.0719429 | − | 0.684491i | ||||
\(185\) | −13.1029 | − | 14.3303i | −0.963347 | − | 1.05358i | ||||
\(186\) | −5.51239 | − | 2.45427i | −0.404188 | − | 0.179956i | ||||
\(187\) | −2.97123 | + | 1.32288i | −0.217278 | + | 0.0967384i | ||||
\(188\) | −1.22387 | + | 0.544902i | −0.0892598 | + | 0.0397410i | ||||
\(189\) | 11.2537 | − | 8.17626i | 0.818583 | − | 0.594735i | ||||
\(190\) | 8.30416 | − | 5.10304i | 0.602447 | − | 0.370213i | ||||
\(191\) | 17.4039 | + | 12.6447i | 1.25930 | + | 0.914936i | 0.998723 | − | 0.0505168i | \(-0.0160869\pi\) |
0.260578 | + | 0.965453i | \(0.416087\pi\) | |||||||
\(192\) | 0.860860 | + | 0.182981i | 0.0621272 | + | 0.0132055i | ||||
\(193\) | −5.66537 | + | 9.81270i | −0.407802 | + | 0.706334i | −0.994643 | − | 0.103368i | \(-0.967038\pi\) |
0.586841 | + | 0.809702i | \(0.300371\pi\) | |||||||
\(194\) | 0.912570 | − | 1.01351i | 0.0655187 | − | 0.0727659i | ||||
\(195\) | −6.23645 | + | 2.83400i | −0.446601 | + | 0.202947i | ||||
\(196\) | −2.10197 | + | 0.446788i | −0.150141 | + | 0.0319134i | ||||
\(197\) | −2.74994 | + | 8.46345i | −0.195925 | + | 0.602996i | 0.804039 | + | 0.594576i | \(0.202680\pi\) |
−0.999965 | + | 0.00841986i | \(0.997320\pi\) | |||||||
\(198\) | 1.69200 | − | 1.22931i | 0.120245 | − | 0.0873631i | ||||
\(199\) | 8.16617 | + | 14.1442i | 0.578884 | + | 1.00266i | 0.995608 | + | 0.0936238i | \(0.0298451\pi\) |
−0.416723 | + | 0.909033i | \(0.636822\pi\) | |||||||
\(200\) | 0.446509 | − | 4.98002i | 0.0315729 | − | 0.352141i | ||||
\(201\) | −1.46825 | −0.103562 | ||||||||
\(202\) | −8.82540 | + | 6.41203i | −0.620953 | + | 0.451149i | ||||
\(203\) | −24.7664 | + | 5.26425i | −1.73826 | + | 0.369478i | ||||
\(204\) | −2.03807 | − | 2.26351i | −0.142693 | − | 0.158477i | ||||
\(205\) | 16.7665 | − | 3.69809i | 1.17102 | − | 0.258286i | ||||
\(206\) | 15.4572 | + | 3.28554i | 1.07696 | + | 0.228914i | ||||
\(207\) | 10.3884 | − | 17.9932i | 0.722043 | − | 1.25061i | ||||
\(208\) | 1.07565 | + | 3.31051i | 0.0745829 | + | 0.229542i | ||||
\(209\) | 3.92019 | + | 1.18857i | 0.271165 | + | 0.0822152i | ||||
\(210\) | 4.78876 | − | 3.53552i | 0.330456 | − | 0.243974i | ||||
\(211\) | −1.54100 | − | 14.6616i | −0.106087 | − | 1.00935i | −0.910002 | − | 0.414603i | \(-0.863920\pi\) |
0.803916 | − | 0.594743i | \(-0.202746\pi\) | |||||||
\(212\) | 2.99344 | − | 1.33276i | 0.205590 | − | 0.0915347i | ||||
\(213\) | 0.313611 | − | 2.98380i | 0.0214882 | − | 0.204447i | ||||
\(214\) | 0.769442 | + | 7.32075i | 0.0525980 | + | 0.500436i | ||||
\(215\) | 3.02527 | − | 3.41204i | 0.206322 | − | 0.232699i | ||||
\(216\) | 3.72056 | + | 2.70315i | 0.253152 | + | 0.183926i | ||||
\(217\) | 6.40839 | + | 19.7230i | 0.435030 | + | 1.33888i | ||||
\(218\) | −1.82525 | − | 3.16143i | −0.123622 | − | 0.214119i | ||||
\(219\) | 3.01874 | − | 3.35265i | 0.203988 | − | 0.226551i | ||||
\(220\) | 1.69058 | − | 1.24815i | 0.113979 | − | 0.0841502i | ||||
\(221\) | 3.72264 | − | 11.4571i | 0.250412 | − | 0.770688i | ||||
\(222\) | 7.47556 | − | 1.58898i | 0.501727 | − | 0.106645i | ||||
\(223\) | −1.17857 | − | 11.2134i | −0.0789230 | − | 0.750902i | −0.960391 | − | 0.278657i | \(-0.910111\pi\) |
0.881468 | − | 0.472244i | \(-0.156556\pi\) | |||||||
\(224\) | −1.51236 | − | 2.61948i | −0.101049 | − | 0.175022i | ||||
\(225\) | 5.41552 | − | 9.72041i | 0.361035 | − | 0.648028i | ||||
\(226\) | −5.91779 | + | 10.2499i | −0.393645 | + | 0.681814i | ||||
\(227\) | −13.7607 | + | 9.99770i | −0.913327 | + | 0.663571i | −0.941854 | − | 0.336022i | \(-0.890918\pi\) |
0.0285272 | + | 0.999593i | \(0.490918\pi\) | |||||||
\(228\) | 0.0758613 | + | 3.83548i | 0.00502404 | + | 0.254011i | ||||
\(229\) | 4.67282 | − | 14.3815i | 0.308789 | − | 0.950354i | −0.669448 | − | 0.742859i | \(-0.733469\pi\) |
0.978236 | − | 0.207494i | \(-0.0665309\pi\) | |||||||
\(230\) | 10.2994 | − | 18.1585i | 0.679123 | − | 1.19733i | ||||
\(231\) | 2.44706 | + | 0.520138i | 0.161005 | + | 0.0342226i | ||||
\(232\) | −4.18545 | − | 7.24942i | −0.274789 | − | 0.475948i | ||||
\(233\) | −9.72657 | − | 2.06745i | −0.637209 | − | 0.135443i | −0.122031 | − | 0.992526i | \(-0.538941\pi\) |
−0.515178 | + | 0.857083i | \(0.672274\pi\) | |||||||
\(234\) | −0.809727 | + | 7.70403i | −0.0529335 | + | 0.503628i | ||||
\(235\) | −2.99555 | + | 0.0229148i | −0.195408 | + | 0.00149480i | ||||
\(236\) | −7.42151 | + | 5.39204i | −0.483099 | + | 0.350992i | ||||
\(237\) | 0.562594 | − | 5.35272i | 0.0365444 | − | 0.347697i | ||||
\(238\) | −1.09421 | + | 10.4107i | −0.0709269 | + | 0.674825i | ||||
\(239\) | 19.2198 | − | 13.9640i | 1.24323 | − | 0.903257i | 0.245418 | − | 0.969417i | \(-0.421075\pi\) |
0.997809 | + | 0.0661602i | \(0.0210748\pi\) | |||||||
\(240\) | 1.60090 | + | 1.14452i | 0.103338 | + | 0.0738783i | ||||
\(241\) | 0.303590 | − | 2.88847i | 0.0195560 | − | 0.186063i | −0.980383 | − | 0.197101i | \(-0.936847\pi\) |
0.999939 | + | 0.0110388i | \(0.00351383\pi\) | |||||||
\(242\) | −9.89573 | − | 2.10340i | −0.636122 | − | 0.135212i | ||||
\(243\) | 8.05513 | + | 13.9519i | 0.516737 | + | 0.895015i | ||||
\(244\) | −0.280096 | − | 0.0595362i | −0.0179313 | − | 0.00381141i | ||||
\(245\) | −4.70766 | − | 0.963066i | −0.300761 | − | 0.0615280i | ||||
\(246\) | −2.08825 | + | 6.42696i | −0.133142 | + | 0.409768i | ||||
\(247\) | −12.9874 | + | 7.84475i | −0.826370 | + | 0.499149i | ||||
\(248\) | −5.54676 | + | 4.02996i | −0.352219 | + | 0.255902i | ||||
\(249\) | 1.01434 | − | 1.75689i | 0.0642813 | − | 0.111338i | ||||
\(250\) | 5.36652 | − | 9.80818i | 0.339409 | − | 0.620324i | ||||
\(251\) | −6.68145 | − | 11.5726i | −0.421729 | − | 0.730457i | 0.574379 | − | 0.818589i | \(-0.305243\pi\) |
−0.996109 | + | 0.0881326i | \(0.971910\pi\) | |||||||
\(252\) | −0.703615 | − | 6.69445i | −0.0443236 | − | 0.421711i | ||||
\(253\) | 8.58210 | − | 1.82418i | 0.539552 | − | 0.114685i | ||||
\(254\) | 0.306924 | − | 0.944615i | 0.0192581 | − | 0.0592704i | ||||
\(255\) | −2.15411 | − | 6.46109i | −0.134896 | − | 0.404609i | ||||
\(256\) | 0.669131 | − | 0.743145i | 0.0418207 | − | 0.0464466i | ||||
\(257\) | 14.7147 | + | 25.4866i | 0.917877 | + | 1.58981i | 0.802634 | + | 0.596472i | \(0.203431\pi\) |
0.115243 | + | 0.993337i | \(0.463235\pi\) | |||||||
\(258\) | 0.554622 | + | 1.70695i | 0.0345293 | + | 0.106270i | ||||
\(259\) | −21.2498 | − | 15.4389i | −1.32040 | − | 0.959324i | ||||
\(260\) | −0.754358 | + | 7.74683i | −0.0467833 | + | 0.480438i | ||||
\(261\) | −1.94725 | − | 18.5269i | −0.120532 | − | 1.14679i | ||||
\(262\) | −1.02070 | + | 9.71131i | −0.0630591 | + | 0.599967i | ||||
\(263\) | 20.8173 | − | 9.26847i | 1.28365 | − | 0.571519i | 0.352385 | − | 0.935855i | \(-0.385371\pi\) |
0.931267 | + | 0.364337i | \(0.118704\pi\) | |||||||
\(264\) | 0.0864549 | + | 0.822563i | 0.00532093 | + | 0.0506253i | ||||
\(265\) | 7.32677 | − | 0.0560469i | 0.450080 | − | 0.00344293i | ||||
\(266\) | 9.62158 | − | 9.01415i | 0.589937 | − | 0.552693i | ||||
\(267\) | −0.431664 | − | 1.32852i | −0.0264174 | − | 0.0813044i | ||||
\(268\) | −0.834146 | + | 1.44478i | −0.0509536 | + | 0.0882541i | ||||
\(269\) | 24.2029 | + | 5.14449i | 1.47568 | + | 0.313665i | 0.874334 | − | 0.485324i | \(-0.161298\pi\) |
0.601345 | + | 0.798989i | \(0.294632\pi\) | |||||||
\(270\) | 5.20966 | + | 8.86608i | 0.317050 | + | 0.539572i | ||||
\(271\) | 9.26622 | + | 10.2912i | 0.562883 | + | 0.625145i | 0.955654 | − | 0.294491i | \(-0.0951503\pi\) |
−0.392771 | + | 0.919636i | \(0.628484\pi\) | |||||||
\(272\) | −3.38520 | + | 0.719546i | −0.205258 | + | 0.0436289i | ||||
\(273\) | −7.49651 | + | 5.44654i | −0.453710 | + | 0.329639i | ||||
\(274\) | −22.1005 | −1.33514 | ||||||||
\(275\) | 4.58074 | − | 1.04716i | 0.276229 | − | 0.0631460i | ||||
\(276\) | 4.10829 | + | 7.11576i | 0.247290 | + | 0.428318i | ||||
\(277\) | −22.4982 | + | 16.3459i | −1.35178 | + | 0.982128i | −0.352863 | + | 0.935675i | \(0.614792\pi\) |
−0.998920 | + | 0.0464535i | \(0.985208\pi\) | |||||||
\(278\) | 4.76455 | − | 14.6638i | 0.285759 | − | 0.879475i | ||||
\(279\) | −14.9246 | + | 3.17231i | −0.893510 | + | 0.189921i | ||||
\(280\) | −0.758408 | − | 6.72082i | −0.0453236 | − | 0.401646i | ||||
\(281\) | 0.697321 | − | 0.774453i | 0.0415987 | − | 0.0462000i | −0.721986 | − | 0.691907i | \(-0.756771\pi\) |
0.763585 | + | 0.645707i | \(0.223437\pi\) | |||||||
\(282\) | 0.589526 | − | 1.02109i | 0.0351058 | − | 0.0608050i | ||||
\(283\) | 3.46473 | + | 0.736451i | 0.205957 | + | 0.0437775i | 0.309735 | − | 0.950823i | \(-0.399760\pi\) |
−0.103778 | + | 0.994600i | \(0.533093\pi\) | |||||||
\(284\) | −2.75794 | − | 2.00376i | −0.163654 | − | 0.118902i | ||||
\(285\) | −3.27281 | + | 7.92919i | −0.193865 | + | 0.469685i | ||||
\(286\) | −2.64650 | + | 1.92280i | −0.156491 | + | 0.113697i | ||||
\(287\) | 21.2171 | − | 9.44648i | 1.25241 | − | 0.557608i | ||||
\(288\) | 2.03304 | − | 0.905167i | 0.119798 | − | 0.0533375i | ||||
\(289\) | −4.58844 | − | 2.04291i | −0.269908 | − | 0.120171i | ||||
\(290\) | −2.09889 | − | 18.5999i | −0.123251 | − | 1.09222i | ||||
\(291\) | −0.125464 | + | 1.19371i | −0.00735481 | + | 0.0699763i | ||||
\(292\) | −1.58405 | − | 4.87521i | −0.0926996 | − | 0.285300i | ||||
\(293\) | 25.8139 | 1.50806 | 0.754032 | − | 0.656838i | \(-0.228106\pi\) | ||||
0.754032 | + | 0.656838i | \(0.228106\pi\) | |||||||
\(294\) | 1.26550 | − | 1.40548i | 0.0738054 | − | 0.0819692i | ||||
\(295\) | −20.0311 | + | 4.41815i | −1.16625 | + | 0.257235i | ||||
\(296\) | 2.68345 | − | 8.25881i | 0.155972 | − | 0.480034i | ||||
\(297\) | −1.33555 | + | 4.11040i | −0.0774964 | + | 0.238509i | ||||
\(298\) | 7.06361 | + | 3.14492i | 0.409184 | + | 0.182180i | ||||
\(299\) | −16.2488 | + | 28.1437i | −0.939692 | + | 1.62759i | ||||
\(300\) | 2.25827 | + | 3.77681i | 0.130381 | + | 0.218054i | ||||
\(301\) | 3.08420 | − | 5.34199i | 0.177770 | − | 0.307907i | ||||
\(302\) | −0.785141 | − | 7.47012i | −0.0451798 | − | 0.429857i | ||||
\(303\) | 2.96679 | − | 9.13085i | 0.170438 | − | 0.524554i | ||||
\(304\) | 3.81728 | + | 2.10437i | 0.218936 | + | 0.120694i | ||||
\(305\) | −0.520881 | − | 0.372388i | −0.0298256 | − | 0.0213229i | ||||
\(306\) | −7.53355 | − | 1.60131i | −0.430665 | − | 0.0915406i | ||||
\(307\) | −1.69356 | + | 2.93333i | −0.0966565 | + | 0.167414i | −0.910299 | − | 0.413952i | \(-0.864148\pi\) |
0.813642 | + | 0.581366i | \(0.197481\pi\) | |||||||
\(308\) | 1.90205 | − | 2.11244i | 0.108380 | − | 0.120368i | ||||
\(309\) | −12.7053 | + | 5.65678i | −0.722781 | + | 0.321803i | ||||
\(310\) | −14.9710 | + | 3.30208i | −0.850297 | + | 0.187546i | ||||
\(311\) | −10.8951 | + | 7.91572i | −0.617802 | + | 0.448859i | −0.852153 | − | 0.523293i | \(-0.824703\pi\) |
0.234351 | + | 0.972152i | \(0.424703\pi\) | |||||||
\(312\) | −2.47842 | − | 1.80067i | −0.140313 | − | 0.101943i | ||||
\(313\) | −0.931304 | + | 8.86077i | −0.0526404 | + | 0.500840i | 0.936158 | + | 0.351581i | \(0.114356\pi\) |
−0.988798 | + | 0.149260i | \(0.952311\pi\) | |||||||
\(314\) | 10.2198 | + | 4.55016i | 0.576738 | + | 0.256780i | ||||
\(315\) | 4.54160 | − | 14.3502i | 0.255890 | − | 0.808541i | ||||
\(316\) | −4.94755 | − | 3.59460i | −0.278321 | − | 0.202212i | ||||
\(317\) | −11.7072 | + | 13.0022i | −0.657542 | + | 0.730275i | −0.976026 | − | 0.217654i | \(-0.930160\pi\) |
0.318484 | + | 0.947928i | \(0.396826\pi\) | |||||||
\(318\) | −1.44191 | + | 2.49746i | −0.0808583 | + | 0.140051i | ||||
\(319\) | 5.26393 | − | 5.84619i | 0.294724 | − | 0.327324i | ||||
\(320\) | 2.03573 | − | 0.925090i | 0.113801 | − | 0.0517141i | ||||
\(321\) | −4.33491 | − | 4.81441i | −0.241951 | − | 0.268714i | ||||
\(322\) | 8.72630 | − | 26.8568i | 0.486298 | − | 1.49667i | ||||
\(323\) | −6.40711 | − | 13.6572i | −0.356501 | − | 0.759905i | ||||
\(324\) | 2.62889 | 0.146049 | ||||||||
\(325\) | −8.47058 | + | 15.2040i | −0.469863 | + | 0.843366i | ||||
\(326\) | 1.10759 | − | 1.91841i | 0.0613439 | − | 0.106251i | ||||
\(327\) | 2.93502 | + | 1.30676i | 0.162307 | + | 0.0722638i | ||||
\(328\) | 5.13786 | + | 5.70617i | 0.283691 | + | 0.315071i | ||||
\(329\) | −3.96364 | + | 0.842498i | −0.218523 | + | 0.0464484i | ||||
\(330\) | −0.558036 | + | 1.76324i | −0.0307189 | + | 0.0970632i | ||||
\(331\) | 9.57829 | + | 29.4790i | 0.526471 | + | 1.62031i | 0.761389 | + | 0.648295i | \(0.224518\pi\) |
−0.234919 | + | 0.972015i | \(0.575482\pi\) | |||||||
\(332\) | −1.15254 | − | 1.99626i | −0.0632539 | − | 0.109559i | ||||
\(333\) | 12.9312 | − | 14.3615i | 0.708623 | − | 0.787006i | ||||
\(334\) | −4.62655 | − | 3.36139i | −0.253154 | − | 0.183927i | ||||
\(335\) | −3.00111 | + | 2.21570i | −0.163968 | + | 0.121057i | ||||
\(336\) | 2.43189 | + | 1.08275i | 0.132670 | + | 0.0590686i | ||||
\(337\) | −22.6344 | + | 10.0775i | −1.23297 | + | 0.548955i | −0.916648 | − | 0.399696i | \(-0.869116\pi\) |
−0.316325 | + | 0.948651i | \(0.602449\pi\) | |||||||
\(338\) | −0.0923523 | + | 0.878673i | −0.00502330 | + | 0.0477935i | ||||
\(339\) | −1.08881 | − | 10.3593i | −0.0591361 | − | 0.562642i | ||||
\(340\) | −7.58162 | − | 1.55101i | −0.411171 | − | 0.0841151i | ||||
\(341\) | −5.21274 | − | 3.78728i | −0.282286 | − | 0.205092i | ||||
\(342\) | 5.85586 | + | 7.73355i | 0.316649 | + | 0.418182i | ||||
\(343\) | 14.6731 | 0.792274 | ||||||||
\(344\) | 1.99476 | + | 0.424000i | 0.107550 | + | 0.0228605i | ||||
\(345\) | 2.06020 | + | 18.2569i | 0.110917 | + | 0.982921i | ||||
\(346\) | 6.59329 | − | 1.40145i | 0.354458 | − | 0.0753423i | ||||
\(347\) | 15.2553 | + | 16.9427i | 0.818946 | + | 0.909532i | 0.997225 | − | 0.0744483i | \(-0.0237196\pi\) |
−0.178279 | + | 0.983980i | \(0.557053\pi\) | |||||||
\(348\) | 6.73025 | + | 2.99650i | 0.360779 | + | 0.160629i | ||||
\(349\) | −7.78442 | −0.416691 | −0.208345 | − | 0.978055i | \(-0.566808\pi\) | ||||
−0.208345 | + | 0.978055i | \(0.566808\pi\) | |||||||
\(350\) | 4.45286 | − | 14.4532i | 0.238015 | − | 0.772557i | ||||
\(351\) | −8.00404 | − | 13.8634i | −0.427224 | − | 0.739974i | ||||
\(352\) | 0.858533 | + | 0.382243i | 0.0457599 | + | 0.0203736i | ||||
\(353\) | −3.14911 | + | 9.69196i | −0.167610 | + | 0.515851i | −0.999219 | − | 0.0395105i | \(-0.987420\pi\) |
0.831609 | + | 0.555362i | \(0.187420\pi\) | |||||||
\(354\) | 2.49485 | − | 7.67837i | 0.132600 | − | 0.408101i | ||||
\(355\) | −3.86177 | − | 6.57217i | −0.204962 | − | 0.348814i | ||||
\(356\) | −1.55253 | − | 0.330000i | −0.0822838 | − | 0.0174900i | ||||
\(357\) | −4.60642 | − | 7.97855i | −0.243797 | − | 0.422270i | ||||
\(358\) | 13.8652 | + | 2.94714i | 0.732799 | + | 0.155761i | ||||
\(359\) | 26.7272 | − | 11.8997i | 1.41061 | − | 0.628043i | 0.446799 | − | 0.894634i | \(-0.352564\pi\) |
0.963810 | + | 0.266591i | \(0.0858973\pi\) | |||||||
\(360\) | 4.97608 | − | 0.0380651i | 0.262263 | − | 0.00200621i | ||||
\(361\) | −5.15220 | + | 18.2881i | −0.271168 | + | 0.962532i | ||||
\(362\) | −2.06661 | − | 1.50148i | −0.108619 | − | 0.0789160i | ||||
\(363\) | 8.13396 | − | 3.62147i | 0.426922 | − | 0.190078i | ||||
\(364\) | 1.10055 | + | 10.4710i | 0.0576843 | + | 0.548829i | ||||
\(365\) | 1.11090 | − | 11.4083i | 0.0581473 | − | 0.597140i | ||||
\(366\) | 0.230229 | − | 0.102505i | 0.0120343 | − | 0.00535800i | ||||
\(367\) | 8.05288 | − | 8.94363i | 0.420357 | − | 0.466854i | −0.495354 | − | 0.868691i | \(-0.664962\pi\) |
0.915711 | + | 0.401837i | \(0.131628\pi\) | |||||||
\(368\) | 9.33604 | 0.486675 | ||||||||
\(369\) | 5.28043 | + | 16.2515i | 0.274888 | + | 0.846019i | ||||
\(370\) | 12.8822 | − | 14.5291i | 0.669712 | − | 0.755331i | ||||
\(371\) | 9.69460 | − | 2.06065i | 0.503318 | − | 0.106984i | ||||
\(372\) | 1.86463 | − | 5.73873i | 0.0966764 | − | 0.297539i | ||||
\(373\) | 1.44040 | − | 1.04651i | 0.0745810 | − | 0.0541862i | −0.549870 | − | 0.835250i | \(-0.685323\pi\) |
0.624451 | + | 0.781064i | \(0.285323\pi\) | |||||||
\(374\) | −1.62621 | − | 2.81668i | −0.0840893 | − | 0.145647i | ||||
\(375\) | 1.25281 | + | 9.75965i | 0.0646948 | + | 0.503986i | ||||
\(376\) | −0.669846 | − | 1.16021i | −0.0345447 | − | 0.0598331i | ||||
\(377\) | 3.04576 | + | 28.9785i | 0.156865 | + | 1.49247i | ||||
\(378\) | 9.30780 | + | 10.3374i | 0.478741 | + | 0.531696i | ||||
\(379\) | 8.05016 | − | 24.7759i | 0.413509 | − | 1.27265i | −0.500069 | − | 0.865986i | \(-0.666692\pi\) |
0.913578 | − | 0.406664i | \(-0.133308\pi\) | |||||||
\(380\) | 5.94310 | + | 7.72525i | 0.304875 | + | 0.396297i | ||||
\(381\) | 0.270121 | + | 0.831348i | 0.0138387 | + | 0.0425913i | ||||
\(382\) | −10.7562 | + | 18.6303i | −0.550335 | + | 0.953208i | ||||
\(383\) | −23.8014 | − | 5.05914i | −1.21619 | − | 0.258510i | −0.445246 | − | 0.895408i | \(-0.646884\pi\) |
−0.770948 | + | 0.636898i | \(0.780217\pi\) | |||||||
\(384\) | −0.0919947 | + | 0.875271i | −0.00469458 | + | 0.0446660i | ||||
\(385\) | 5.78672 | − | 2.62964i | 0.294919 | − | 0.134019i | ||||
\(386\) | −10.3511 | − | 4.60862i | −0.526859 | − | 0.234573i | ||||
\(387\) | 3.67164 | + | 2.66760i | 0.186640 | + | 0.135602i | ||||
\(388\) | 1.10335 | + | 0.801630i | 0.0560140 | + | 0.0406966i | ||||
\(389\) | −20.3815 | − | 9.07444i | −1.03338 | − | 0.460092i | −0.181262 | − | 0.983435i | \(-0.558018\pi\) |
−0.852122 | + | 0.523343i | \(0.824685\pi\) | |||||||
\(390\) | −3.47037 | − | 5.90605i | −0.175729 | − | 0.299064i | ||||
\(391\) | −26.1397 | − | 18.9916i | −1.32194 | − | 0.960446i | ||||
\(392\) | −0.664056 | − | 2.04376i | −0.0335399 | − | 0.103225i | ||||
\(393\) | −4.29696 | − | 7.44256i | −0.216753 | − | 0.375427i | ||||
\(394\) | −8.70454 | − | 1.85021i | −0.438528 | − | 0.0932121i | ||||
\(395\) | −6.92773 | − | 11.7900i | −0.348572 | − | 0.593218i | ||||
\(396\) | 1.39944 | + | 1.55423i | 0.0703243 | + | 0.0781031i | ||||
\(397\) | −16.1572 | − | 17.9444i | −0.810908 | − | 0.900605i | 0.185724 | − | 0.982602i | \(-0.440537\pi\) |
−0.996633 | + | 0.0819972i | \(0.973870\pi\) | |||||||
\(398\) | −13.2131 | + | 9.59991i | −0.662315 | + | 0.481200i | ||||
\(399\) | −2.18759 | + | 11.3955i | −0.109517 | + | 0.570486i | ||||
\(400\) | 4.99941 | − | 0.0764916i | 0.249971 | − | 0.00382458i | ||||
\(401\) | 3.07952 | − | 5.33388i | 0.153784 | − | 0.266361i | −0.778832 | − | 0.627233i | \(-0.784187\pi\) |
0.932616 | + | 0.360872i | \(0.117521\pi\) | |||||||
\(402\) | −0.153474 | − | 1.46021i | −0.00765458 | − | 0.0728285i | ||||
\(403\) | 23.3439 | − | 4.96191i | 1.16284 | − | 0.247170i | ||||
\(404\) | −7.29941 | − | 8.10681i | −0.363159 | − | 0.403329i | ||||
\(405\) | 5.38829 | + | 2.34980i | 0.267746 | + | 0.116763i | ||||
\(406\) | −7.82420 | − | 24.0804i | −0.388309 | − | 1.19509i | ||||
\(407\) | 8.16090 | 0.404521 | ||||||||
\(408\) | 2.03807 | − | 2.26351i | 0.100899 | − | 0.112060i | ||||
\(409\) | −3.03992 | + | 28.9229i | −0.150315 | + | 1.43015i | 0.616032 | + | 0.787721i | \(0.288739\pi\) |
−0.766347 | + | 0.642427i | \(0.777928\pi\) | |||||||
\(410\) | 5.43040 | + | 16.2881i | 0.268189 | + | 0.804410i | ||||
\(411\) | 15.7358 | − | 11.4327i | 0.776190 | − | 0.563935i | ||||
\(412\) | −1.65182 | + | 15.7160i | −0.0813792 | + | 0.774271i | ||||
\(413\) | −25.3484 | + | 11.2858i | −1.24731 | + | 0.555339i | ||||
\(414\) | 18.9805 | + | 8.45067i | 0.932842 | + | 0.415328i | ||||
\(415\) | −0.577969 | − | 5.12181i | −0.0283714 | − | 0.251420i | ||||
\(416\) | −3.17994 | + | 1.41580i | −0.155909 | + | 0.0694153i | ||||
\(417\) | 4.19324 | + | 12.9055i | 0.205344 | + | 0.631984i | ||||
\(418\) | −0.772289 | + | 4.02295i | −0.0377739 | + | 0.196769i | ||||
\(419\) | 5.80081 | + | 17.8531i | 0.283388 | + | 0.872180i | 0.986877 | + | 0.161473i | \(0.0516245\pi\) |
−0.703489 | + | 0.710706i | \(0.748375\pi\) | |||||||
\(420\) | 4.01671 | + | 4.39296i | 0.195995 | + | 0.214355i | ||||
\(421\) | −11.8264 | − | 13.1345i | −0.576383 | − | 0.640138i | 0.382495 | − | 0.923958i | \(-0.375065\pi\) |
−0.958878 | + | 0.283820i | \(0.908398\pi\) | |||||||
\(422\) | 14.4202 | − | 3.06511i | 0.701965 | − | 0.149207i | ||||
\(423\) | −0.311641 | − | 2.96507i | −0.0151525 | − | 0.144167i | ||||
\(424\) | 1.63836 | + | 2.83773i | 0.0795660 | + | 0.137812i | ||||
\(425\) | −14.1533 | − | 9.95576i | −0.686536 | − | 0.482925i | ||||
\(426\) | 3.00024 | 0.145362 | ||||||||
\(427\) | −0.791256 | − | 0.352290i | −0.0382916 | − | 0.0170485i | ||||
\(428\) | −7.20022 | + | 1.53045i | −0.348036 | + | 0.0739773i | ||||
\(429\) | 0.889663 | − | 2.73810i | 0.0429533 | − | 0.132197i | ||||
\(430\) | 3.70957 | + | 2.65205i | 0.178891 | + | 0.127893i | ||||
\(431\) | −6.21960 | + | 6.90757i | −0.299588 | + | 0.332726i | −0.874078 | − | 0.485785i | \(-0.838534\pi\) |
0.574490 | + | 0.818511i | \(0.305200\pi\) | |||||||
\(432\) | −2.29943 | + | 3.98274i | −0.110632 | + | 0.191619i | ||||
\(433\) | −2.41831 | + | 2.68581i | −0.116217 | + | 0.129072i | −0.798446 | − | 0.602067i | \(-0.794344\pi\) |
0.682229 | + | 0.731139i | \(0.261011\pi\) | |||||||
\(434\) | −18.9451 | + | 8.43490i | −0.909394 | + | 0.404888i | ||||
\(435\) | 11.1162 | + | 12.1575i | 0.532983 | + | 0.582908i | ||||
\(436\) | 2.95332 | − | 2.14572i | 0.141439 | − | 0.102761i | ||||
\(437\) | 9.24643 | + | 39.6305i | 0.442317 | + | 1.89578i | ||||
\(438\) | 3.64983 | + | 2.65176i | 0.174396 | + | 0.126706i | ||||
\(439\) | 1.93790 | + | 18.4379i | 0.0924910 | + | 0.879993i | 0.938141 | + | 0.346255i | \(0.112547\pi\) |
−0.845649 | + | 0.533739i | \(0.820787\pi\) | |||||||
\(440\) | 1.41803 | + | 1.55085i | 0.0676017 | + | 0.0739340i | ||||
\(441\) | 0.499888 | − | 4.75612i | 0.0238042 | − | 0.226482i | ||||
\(442\) | 11.7835 | + | 2.50465i | 0.560482 | + | 0.119134i | ||||
\(443\) | −7.92620 | − | 13.7286i | −0.376585 | − | 0.652265i | 0.613978 | − | 0.789323i | \(-0.289568\pi\) |
−0.990563 | + | 0.137059i | \(0.956235\pi\) | |||||||
\(444\) | 2.36168 | + | 7.26852i | 0.112081 | + | 0.344948i | ||||
\(445\) | −2.88717 | − | 2.06409i | −0.136865 | − | 0.0978474i | ||||
\(446\) | 11.0287 | − | 2.34423i | 0.522226 | − | 0.111003i | ||||
\(447\) | −6.65624 | + | 1.41483i | −0.314829 | + | 0.0669190i | ||||
\(448\) | 2.44705 | − | 1.77789i | 0.115612 | − | 0.0839972i | ||||
\(449\) | −22.8658 | −1.07911 | −0.539553 | − | 0.841952i | \(-0.681407\pi\) | ||||
−0.539553 | + | 0.841952i | \(0.681407\pi\) | |||||||
\(450\) | 10.2332 | + | 4.36980i | 0.482400 | + | 0.205994i | ||||
\(451\) | −3.60801 | + | 6.24926i | −0.169895 | + | 0.294266i | ||||
\(452\) | −10.8123 | − | 4.81396i | −0.508570 | − | 0.226430i | ||||
\(453\) | 4.42336 | + | 4.91264i | 0.207828 | + | 0.230816i | ||||
\(454\) | −11.3813 | − | 12.6402i | −0.534152 | − | 0.593235i | ||||
\(455\) | −7.10365 | + | 22.4456i | −0.333024 | + | 1.05226i | ||||
\(456\) | −3.80654 | + | 0.476363i | −0.178258 | + | 0.0223077i | ||||
\(457\) | −27.8665 | −1.30354 | −0.651770 | − | 0.758417i | \(-0.725973\pi\) | ||||
−0.651770 | + | 0.758417i | \(0.725973\pi\) | |||||||
\(458\) | 14.7911 | + | 3.14395i | 0.691144 | + | 0.146907i | ||||
\(459\) | 14.5399 | − | 6.47357i | 0.678664 | − | 0.302161i | ||||
\(460\) | 19.1356 | + | 8.34491i | 0.892201 | + | 0.389083i | ||||
\(461\) | 4.25638 | + | 40.4967i | 0.198239 | + | 1.88612i | 0.414889 | + | 0.909872i | \(0.363820\pi\) |
−0.216650 | + | 0.976249i | \(0.569513\pi\) | |||||||
\(462\) | −0.261502 | + | 2.48802i | −0.0121662 | + | 0.115753i | ||||
\(463\) | 11.3322 | + | 8.23332i | 0.526652 | + | 0.382635i | 0.819104 | − | 0.573645i | \(-0.194471\pi\) |
−0.292452 | + | 0.956280i | \(0.594471\pi\) | |||||||
\(464\) | 6.77221 | − | 4.92030i | 0.314392 | − | 0.228419i | ||||
\(465\) | 8.95133 | − | 10.0957i | 0.415108 | − | 0.468177i | ||||
\(466\) | 1.03942 | − | 9.88939i | 0.0481501 | − | 0.458117i | ||||
\(467\) | 3.34598 | + | 10.2979i | 0.154834 | + | 0.476529i | 0.998144 | − | 0.0608980i | \(-0.0193964\pi\) |
−0.843310 | + | 0.537427i | \(0.819396\pi\) | |||||||
\(468\) | −7.74647 | −0.358081 | ||||||||
\(469\) | −3.37651 | + | 3.74999i | −0.155913 | + | 0.173159i | ||||
\(470\) | −0.335910 | − | 2.97675i | −0.0154944 | − | 0.137307i | ||||
\(471\) | −9.63043 | + | 2.04701i | −0.443747 | + | 0.0943213i | ||||
\(472\) | −6.13826 | − | 6.81723i | −0.282536 | − | 0.313788i | ||||
\(473\) | 0.200331 | + | 1.90602i | 0.00921123 | + | 0.0876390i | ||||
\(474\) | 5.38221 | 0.247213 | ||||||||
\(475\) | 5.27613 | + | 21.1462i | 0.242085 | + | 0.970255i | ||||
\(476\) | −10.4680 | −0.479802 | ||||||||
\(477\) | 0.762237 | + | 7.25220i | 0.0349005 | + | 0.332056i | ||||
\(478\) | 15.8965 | + | 17.6549i | 0.727091 | + | 0.807516i | ||||
\(479\) | 4.38723 | − | 0.932535i | 0.200458 | − | 0.0426086i | −0.106588 | − | 0.994303i | \(-0.533993\pi\) |
0.307046 | + | 0.951695i | \(0.400659\pi\) | |||||||
\(480\) | −0.970907 | + | 1.71177i | −0.0443157 | + | 0.0781312i | ||||
\(481\) | −20.2260 | + | 22.4633i | −0.922227 | + | 1.02424i | ||||
\(482\) | 2.90438 | 0.132291 | ||||||||
\(483\) | 7.67995 | + | 23.6365i | 0.349450 | + | 1.07550i | ||||
\(484\) | 1.05749 | − | 10.0614i | 0.0480679 | − | 0.457336i | ||||
\(485\) | 1.54495 | + | 2.62927i | 0.0701525 | + | 0.119389i | ||||
\(486\) | −13.0335 | + | 9.46938i | −0.591211 | + | 0.429540i | ||||
\(487\) | −22.4174 | − | 16.2872i | −1.01583 | − | 0.738043i | −0.0504051 | − | 0.998729i | \(-0.516051\pi\) |
−0.965424 | + | 0.260686i | \(0.916051\pi\) | |||||||
\(488\) | 0.0299320 | − | 0.284784i | 0.00135496 | − | 0.0128916i | ||||
\(489\) | 0.203785 | + | 1.93889i | 0.00921549 | + | 0.0876795i | ||||
\(490\) | 0.465706 | − | 4.78254i | 0.0210384 | − | 0.216053i | ||||
\(491\) | 7.70550 | − | 3.43071i | 0.347744 | − | 0.154826i | −0.225430 | − | 0.974259i | \(-0.572379\pi\) |
0.573174 | + | 0.819434i | \(0.305712\pi\) | |||||||
\(492\) | −6.61004 | − | 1.40501i | −0.298004 | − | 0.0633426i | ||||
\(493\) | −28.9703 | −1.30476 | ||||||||
\(494\) | −9.15933 | − | 12.0963i | −0.412098 | − | 0.544237i | ||||
\(495\) | 1.47912 | + | 4.43649i | 0.0664814 | + | 0.199406i | ||||
\(496\) | −4.58767 | − | 5.09513i | −0.205993 | − | 0.228778i | ||||
\(497\) | −6.89960 | − | 7.66278i | −0.309489 | − | 0.343723i | ||||
\(498\) | 1.85329 | + | 0.825140i | 0.0830481 | + | 0.0369754i | ||||
\(499\) | −1.06240 | + | 1.84012i | −0.0475593 | + | 0.0823752i | −0.888825 | − | 0.458247i | \(-0.848478\pi\) |
0.841266 | + | 0.540622i | \(0.181811\pi\) | |||||||
\(500\) | 10.3154 | + | 4.31189i | 0.461319 | + | 0.192834i | ||||
\(501\) | 5.03301 | 0.224858 | ||||||||
\(502\) | 10.8108 | − | 7.85451i | 0.482510 | − | 0.350564i | ||||
\(503\) | 15.2903 | − | 3.25004i | 0.681759 | − | 0.144912i | 0.146002 | − | 0.989284i | \(-0.453360\pi\) |
0.535757 | + | 0.844372i | \(0.320026\pi\) | |||||||
\(504\) | 6.58423 | − | 1.39952i | 0.293285 | − | 0.0623396i | ||||
\(505\) | −7.71503 | − | 23.1406i | −0.343314 | − | 1.02974i | ||||
\(506\) | 2.71126 | + | 8.34441i | 0.120530 | + | 0.370954i | ||||
\(507\) | −0.388786 | − | 0.673398i | −0.0172666 | − | 0.0299067i | ||||
\(508\) | 0.971523 | + | 0.206504i | 0.0431044 | + | 0.00916211i | ||||
\(509\) | −1.48642 | + | 14.1424i | −0.0658845 | + | 0.626849i | 0.910900 | + | 0.412627i | \(0.135389\pi\) |
−0.976785 | + | 0.214223i | \(0.931278\pi\) | |||||||
\(510\) | 6.20053 | − | 2.81768i | 0.274564 | − | 0.124769i | ||||
\(511\) | −1.62071 | − | 15.4201i | −0.0716962 | − | 0.682144i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | −19.1836 | − | 5.81633i | −0.846979 | − | 0.256797i | ||||
\(514\) | −23.8089 | + | 17.2981i | −1.05016 | + | 0.762989i | ||||
\(515\) | −17.4332 | + | 30.7358i | −0.768199 | + | 1.35438i | ||||
\(516\) | −1.63963 | + | 0.730009i | −0.0721806 | + | 0.0321369i | ||||
\(517\) | 0.842447 | − | 0.935632i | 0.0370508 | − | 0.0411490i | ||||
\(518\) | 13.1331 | − | 22.7472i | 0.577034 | − | 0.999453i | ||||
\(519\) | −3.96951 | + | 4.40859i | −0.174242 | + | 0.193516i | ||||
\(520\) | −7.78324 | + | 0.0595387i | −0.341318 | + | 0.00261095i | ||||
\(521\) | 11.3138 | − | 34.8203i | 0.495666 | − | 1.52550i | −0.320250 | − | 0.947333i | \(-0.603767\pi\) |
0.815916 | − | 0.578171i | \(-0.196233\pi\) | |||||||
\(522\) | 18.2219 | − | 3.87317i | 0.797549 | − | 0.169524i | ||||
\(523\) | −13.1574 | − | 5.85804i | −0.575332 | − | 0.256154i | 0.0983794 | − | 0.995149i | \(-0.468634\pi\) |
−0.673711 | + | 0.738995i | \(0.735301\pi\) | |||||||
\(524\) | −9.76480 | −0.426577 | ||||||||
\(525\) | 4.30624 | + | 12.5943i | 0.187940 | + | 0.549661i | ||||
\(526\) | 11.3937 | + | 19.7345i | 0.496789 | + | 0.860464i | ||||
\(527\) | 2.48025 | + | 23.5980i | 0.108042 | + | 1.02795i | ||||
\(528\) | −0.809020 | + | 0.171962i | −0.0352081 | + | 0.00748371i | ||||
\(529\) | 42.9325 | + | 47.6814i | 1.86663 | + | 2.07310i | ||||
\(530\) | 0.821596 | + | 7.28077i | 0.0356878 | + | 0.316257i | ||||
\(531\) | −6.30859 | − | 19.4158i | −0.273769 | − | 0.842576i | ||||
\(532\) | 9.97050 | + | 8.62664i | 0.432276 | + | 0.374012i | ||||
\(533\) | −8.25928 | − | 25.4194i | −0.357749 | − | 1.10104i | ||||
\(534\) | 1.27613 | − | 0.568168i | 0.0552233 | − | 0.0245870i | ||||
\(535\) | −16.1259 | − | 3.29894i | −0.697183 | − | 0.142626i | ||||
\(536\) | −1.52406 | − | 0.678555i | −0.0658294 | − | 0.0293091i | ||||
\(537\) | −11.3967 | + | 5.07415i | −0.491805 | + | 0.218966i | ||||
\(538\) | −2.58642 | + | 24.6081i | −0.111508 | + | 1.06093i | ||||
\(539\) | 1.63383 | − | 1.18705i | 0.0703741 | − | 0.0511297i | ||||
\(540\) | −8.27295 | + | 6.10788i | −0.356011 | + | 0.262841i | ||||
\(541\) | −1.05253 | + | 10.0142i | −0.0452519 | + | 0.430543i | 0.948318 | + | 0.317322i | \(0.102784\pi\) |
−0.993570 | + | 0.113221i | \(0.963883\pi\) | |||||||
\(542\) | −9.26622 | + | 10.2912i | −0.398018 | + | 0.442044i | ||||
\(543\) | 2.24817 | 0.0964781 | ||||||||
\(544\) | −1.06945 | − | 3.29144i | −0.0458525 | − | 0.141119i | ||||
\(545\) | 7.97120 | − | 1.75817i | 0.341448 | − | 0.0753115i | ||||
\(546\) | −6.20030 | − | 6.88613i | −0.265348 | − | 0.294699i | ||||
\(547\) | 25.2306 | − | 5.36292i | 1.07878 | − | 0.229302i | 0.365948 | − | 0.930635i | \(-0.380745\pi\) |
0.712833 | + | 0.701333i | \(0.247412\pi\) | |||||||
\(548\) | −2.31014 | − | 21.9795i | −0.0986841 | − | 0.938917i | ||||
\(549\) | 0.318631 | − | 0.551884i | 0.0135988 | − | 0.0235538i | ||||
\(550\) | 1.52024 | + | 4.44619i | 0.0648232 | + | 0.189586i | ||||
\(551\) | 27.5933 | + | 23.8742i | 1.17552 | + | 1.01708i | ||||
\(552\) | −6.64735 | + | 4.82958i | −0.282930 | + | 0.205561i | ||||
\(553\) | −12.3774 | − | 13.7465i | −0.526339 | − | 0.584559i | ||||
\(554\) | −18.6080 | − | 20.6663i | −0.790579 | − | 0.878027i | ||||
\(555\) | −1.65626 | + | 17.0089i | −0.0703043 | + | 0.721986i | ||||
\(556\) | 15.0815 | + | 3.20567i | 0.639597 | + | 0.135951i | ||||
\(557\) | 5.98087 | + | 10.3592i | 0.253418 | + | 0.438932i | 0.964465 | − | 0.264212i | \(-0.0851120\pi\) |
−0.711047 | + | 0.703145i | \(0.751779\pi\) | |||||||
\(558\) | −4.71498 | − | 14.5112i | −0.199601 | − | 0.614308i | ||||
\(559\) | −5.74292 | − | 4.17248i | −0.242900 | − | 0.176477i | ||||
\(560\) | 6.60473 | − | 1.45677i | 0.279101 | − | 0.0615598i | ||||
\(561\) | 2.61496 | + | 1.16425i | 0.110404 | + | 0.0491549i | ||||
\(562\) | 0.843101 | + | 0.612549i | 0.0355641 | + | 0.0258388i | ||||
\(563\) | −18.8979 | − | 13.7301i | −0.796451 | − | 0.578655i | 0.113420 | − | 0.993547i | \(-0.463819\pi\) |
−0.909871 | + | 0.414892i | \(0.863819\pi\) | |||||||
\(564\) | 1.07712 | + | 0.479564i | 0.0453548 | + | 0.0201933i | ||||
\(565\) | −17.8586 | − | 19.5314i | −0.751316 | − | 0.821693i | ||||
\(566\) | −0.370254 | + | 3.52273i | −0.0155629 | + | 0.148071i | ||||
\(567\) | 7.77788 | + | 1.65324i | 0.326640 | + | 0.0694296i | ||||
\(568\) | 1.70450 | − | 2.95229i | 0.0715194 | − | 0.123875i | ||||
\(569\) | 8.48333 | + | 26.1090i | 0.355640 | + | 1.09455i | 0.955638 | + | 0.294545i | \(0.0951680\pi\) |
−0.599998 | + | 0.800001i | \(0.704832\pi\) | |||||||
\(570\) | −8.22786 | − | 2.42606i | −0.344627 | − | 0.101616i | ||||
\(571\) | 1.14984 | − | 3.53883i | 0.0481191 | − | 0.148095i | −0.924110 | − | 0.382127i | \(-0.875192\pi\) |
0.972229 | + | 0.234031i | \(0.0751918\pi\) | |||||||
\(572\) | −2.18890 | − | 2.43102i | −0.0915225 | − | 0.101646i | ||||
\(573\) | −1.97903 | − | 18.8292i | −0.0826750 | − | 0.786600i | ||||
\(574\) | 11.6125 | + | 20.1135i | 0.484697 | + | 0.839520i | ||||
\(575\) | 31.7622 | + | 34.2082i | 1.32457 | + | 1.42658i | ||||
\(576\) | 1.11272 | + | 1.92729i | 0.0463633 | + | 0.0803036i | ||||
\(577\) | 20.7368 | − | 15.0661i | 0.863282 | − | 0.627211i | −0.0654935 | − | 0.997853i | \(-0.520862\pi\) |
0.928776 | + | 0.370642i | \(0.120862\pi\) | |||||||
\(578\) | 1.55209 | − | 4.77685i | 0.0645585 | − | 0.198691i | ||||
\(579\) | 9.75417 | − | 2.07331i | 0.405370 | − | 0.0861640i | ||||
\(580\) | 18.2786 | − | 4.03161i | 0.758977 | − | 0.167404i | ||||
\(581\) | −2.15454 | − | 6.63098i | −0.0893852 | − | 0.275099i | ||||
\(582\) | −1.20028 | −0.0497533 | ||||||||
\(583\) | −2.06052 | + | 2.28844i | −0.0853382 | + | 0.0947777i | ||||
\(584\) | 4.68292 | − | 2.08497i | 0.193781 | − | 0.0862767i | ||||
\(585\) | −15.8775 | − | 6.92409i | −0.656455 | − | 0.286276i | ||||
\(586\) | 2.69829 | + | 25.6725i | 0.111465 | + | 1.06052i | ||||
\(587\) | 3.91517 | − | 1.74315i | 0.161596 | − | 0.0719474i | −0.324344 | − | 0.945939i | \(-0.605144\pi\) |
0.485941 | + | 0.873992i | \(0.338477\pi\) | |||||||
\(588\) | 1.53006 | + | 1.11165i | 0.0630986 | + | 0.0458438i | ||||
\(589\) | 17.0846 | − | 24.5204i | 0.703960 | − | 1.01035i | ||||
\(590\) | −6.48777 | − | 19.4595i | −0.267097 | − | 0.801136i | ||||
\(591\) | 7.15483 | − | 3.18554i | 0.294311 | − | 0.131036i | ||||
\(592\) | 8.49407 | + | 1.80547i | 0.349104 | + | 0.0742043i | ||||
\(593\) | 12.3918 | + | 21.4632i | 0.508871 | + | 0.881390i | 0.999947 | + | 0.0102734i | \(0.00327017\pi\) |
−0.491077 | + | 0.871116i | \(0.663396\pi\) | |||||||
\(594\) | −4.22748 | − | 0.898579i | −0.173456 | − | 0.0368692i | ||||
\(595\) | −21.4558 | − | 9.35673i | −0.879601 | − | 0.383589i | ||||
\(596\) | −2.38934 | + | 7.35365i | −0.0978714 | + | 0.301217i | ||||
\(597\) | 4.44180 | − | 13.6705i | 0.181791 | − | 0.559494i | ||||
\(598\) | −29.6880 | − | 13.2180i | −1.21403 | − | 0.540522i | ||||
\(599\) | 19.5355 | + | 33.8365i | 0.798199 | + | 1.38252i | 0.920788 | + | 0.390064i | \(0.127547\pi\) |
−0.122589 | + | 0.992458i | \(0.539120\pi\) | |||||||
\(600\) | −3.52006 | + | 2.64069i | −0.143706 | + | 0.107806i | ||||
\(601\) | 29.0479 | 1.18489 | 0.592444 | − | 0.805612i | \(-0.298163\pi\) | ||||
0.592444 | + | 0.805612i | \(0.298163\pi\) | |||||||
\(602\) | 5.63511 | + | 2.50891i | 0.229670 | + | 0.102256i | ||||
\(603\) | −2.48427 | − | 2.75906i | −0.101167 | − | 0.112358i | ||||
\(604\) | 7.34713 | − | 1.56168i | 0.298950 | − | 0.0635439i | ||||
\(605\) | 11.1607 | − | 19.6771i | 0.453749 | − | 0.799987i | ||||
\(606\) | 9.39094 | + | 1.99611i | 0.381481 | + | 0.0810863i | ||||
\(607\) | −47.4562 | −1.92619 | −0.963094 | − | 0.269167i | \(-0.913252\pi\) | ||||
−0.963094 | + | 0.269167i | \(0.913252\pi\) | |||||||
\(608\) | −1.69383 | + | 4.01633i | −0.0686940 | + | 0.162884i | ||||
\(609\) | 18.0278 | + | 13.0980i | 0.730525 | + | 0.530757i | ||||
\(610\) | 0.315901 | − | 0.556953i | 0.0127905 | − | 0.0225504i | ||||
\(611\) | 0.487447 | + | 4.63775i | 0.0197200 | + | 0.187623i | ||||
\(612\) | 0.805063 | − | 7.65966i | 0.0325428 | − | 0.309624i | ||||
\(613\) | 21.0783 | − | 9.38467i | 0.851345 | − | 0.379043i | 0.0657888 | − | 0.997834i | \(-0.479044\pi\) |
0.785556 | + | 0.618790i | \(0.212377\pi\) | |||||||
\(614\) | −3.09429 | − | 1.37766i | −0.124875 | − | 0.0555980i | ||||
\(615\) | −12.2924 | − | 8.78807i | −0.495677 | − | 0.354369i | ||||
\(616\) | 2.29969 | + | 1.67082i | 0.0926572 | + | 0.0673194i | ||||
\(617\) | 23.0657 | − | 25.6170i | 0.928589 | − | 1.03130i | −0.0708391 | − | 0.997488i | \(-0.522568\pi\) |
0.999428 | − | 0.0338148i | \(-0.0107656\pi\) | |||||||
\(618\) | −6.95386 | − | 12.0444i | −0.279725 | − | 0.484498i | ||||
\(619\) | 11.1045 | + | 34.1761i | 0.446327 | + | 1.37365i | 0.881022 | + | 0.473075i | \(0.156856\pi\) |
−0.434695 | + | 0.900578i | \(0.643144\pi\) | |||||||
\(620\) | −4.84889 | − | 14.5439i | −0.194736 | − | 0.584095i | ||||
\(621\) | −41.9970 | + | 8.92673i | −1.68528 | + | 0.358217i | ||||
\(622\) | −9.01120 | − | 10.0080i | −0.361316 | − | 0.401282i | ||||
\(623\) | −4.38582 | − | 1.95269i | −0.175714 | − | 0.0782329i | ||||
\(624\) | 1.53175 | − | 2.65306i | 0.0613189 | − | 0.106207i | ||||
\(625\) | 17.2888 | + | 18.0582i | 0.691552 | + | 0.722326i | ||||
\(626\) | −8.90957 | −0.356098 | ||||||||
\(627\) | −1.53122 | − | 3.26389i | −0.0611509 | − | 0.130347i | ||||
\(628\) | −3.45697 | + | 10.6395i | −0.137948 | + | 0.424561i | ||||
\(629\) | −20.1095 | − | 22.3339i | −0.801820 | − | 0.890511i | ||||
\(630\) | 14.7463 | + | 3.01671i | 0.587506 | + | 0.120189i | ||||
\(631\) | −10.1092 | + | 11.2275i | −0.402443 | + | 0.446958i | −0.909968 | − | 0.414679i | \(-0.863894\pi\) |
0.507525 | + | 0.861637i | \(0.330560\pi\) | |||||||
\(632\) | 3.05775 | − | 5.29618i | 0.121631 | − | 0.210671i | ||||
\(633\) | −8.68173 | + | 9.64203i | −0.345068 | + | 0.383236i | ||||
\(634\) | −14.1547 | − | 10.2840i | −0.562154 | − | 0.408429i | ||||
\(635\) | 1.80670 | + | 1.29164i | 0.0716966 | + | 0.0512573i | ||||
\(636\) | −2.63450 | − | 1.17296i | −0.104465 | − | 0.0465107i | ||||
\(637\) | −0.781890 | + | 7.43918i | −0.0309796 | + | 0.294751i | ||||
\(638\) | 6.36439 | + | 4.62400i | 0.251969 | + | 0.183066i | ||||
\(639\) | 6.13763 | − | 4.45925i | 0.242801 | − | 0.176405i | ||||
\(640\) | 1.13281 | + | 1.92788i | 0.0447784 | + | 0.0762063i | ||||
\(641\) | −31.6593 | + | 14.0956i | −1.25047 | + | 0.556744i | −0.921787 | − | 0.387696i | \(-0.873271\pi\) |
−0.328681 | + | 0.944441i | \(0.606604\pi\) | |||||||
\(642\) | 4.33491 | − | 4.81441i | 0.171085 | − | 0.190009i | ||||
\(643\) | 22.3407 | − | 38.6952i | 0.881031 | − | 1.52599i | 0.0308357 | − | 0.999524i | \(-0.490183\pi\) |
0.850196 | − | 0.526467i | \(-0.176484\pi\) | |||||||
\(644\) | 27.6218 | + | 5.87120i | 1.08845 | + | 0.231358i | ||||
\(645\) | −4.01317 | + | 0.0306991i | −0.158018 | + | 0.00120878i | ||||
\(646\) | 12.9126 | − | 7.79957i | 0.508040 | − | 0.306870i | ||||
\(647\) | 12.0667 | − | 37.1374i | 0.474390 | − | 1.46002i | −0.372389 | − | 0.928077i | \(-0.621461\pi\) |
0.846779 | − | 0.531945i | \(-0.178539\pi\) | |||||||
\(648\) | 0.274794 | + | 2.61449i | 0.0107949 | + | 0.102707i | ||||
\(649\) | 4.31053 | − | 7.46606i | 0.169203 | − | 0.293069i | ||||
\(650\) | −16.0061 | − | 6.83493i | −0.627812 | − | 0.268088i | ||||
\(651\) | 9.12567 | − | 15.8061i | 0.357663 | − | 0.619491i | ||||
\(652\) | 2.02367 | + | 0.900997i | 0.0792531 | + | 0.0352858i | ||||
\(653\) | 8.73470 | − | 26.8827i | 0.341815 | − | 1.05200i | −0.621451 | − | 0.783453i | \(-0.713457\pi\) |
0.963267 | − | 0.268547i | \(-0.0865434\pi\) | |||||||
\(654\) | −0.992805 | + | 3.05554i | −0.0388218 | + | 0.119481i | ||||
\(655\) | −20.0144 | − | 8.72816i | −0.782027 | − | 0.341037i | ||||
\(656\) | −5.13786 | + | 5.70617i | −0.200600 | + | 0.222789i | ||||
\(657\) | 11.4078 | 0.445061 | ||||||||
\(658\) | −1.25220 | − | 3.85386i | −0.0488157 | − | 0.150239i | ||||
\(659\) | 3.27300 | − | 31.1405i | 0.127498 | − | 1.21306i | −0.724410 | − | 0.689369i | \(-0.757888\pi\) |
0.851908 | − | 0.523692i | \(-0.175446\pi\) | |||||||
\(660\) | −1.81191 | − | 0.370671i | −0.0705286 | − | 0.0144283i | ||||
\(661\) | −30.7539 | − | 13.6925i | −1.19619 | − | 0.532577i | −0.290645 | − | 0.956831i | \(-0.593870\pi\) |
−0.905543 | + | 0.424254i | \(0.860536\pi\) | |||||||
\(662\) | −28.3163 | + | 12.6072i | −1.10054 | + | 0.489993i | ||||
\(663\) | −9.68560 | + | 4.31231i | −0.376158 | + | 0.167476i | ||||
\(664\) | 1.86485 | − | 1.35489i | 0.0723702 | − | 0.0525800i | ||||
\(665\) | 12.7252 | + | 26.5936i | 0.493461 | + | 1.03125i | ||||
\(666\) | 15.6345 | + | 11.3591i | 0.605825 | + | 0.440158i | ||||
\(667\) | 76.4433 | + | 16.2485i | 2.95990 | + | 0.629146i | ||||
\(668\) | 2.85937 | − | 4.95257i | 0.110632 | − | 0.191621i | ||||
\(669\) | −6.63988 | + | 7.37434i | −0.256713 | + | 0.285108i | ||||
\(670\) | −2.51727 | − | 2.75306i | −0.0972505 | − | 0.106360i | ||||
\(671\) | 0.263229 | − | 0.0559510i | 0.0101618 | − | 0.00215996i | ||||
\(672\) | −0.822613 | + | 2.53174i | −0.0317330 | + | 0.0976641i | ||||
\(673\) | −32.7177 | + | 23.7708i | −1.26117 | + | 0.916297i | −0.998815 | − | 0.0486730i | \(-0.984501\pi\) |
−0.262360 | + | 0.964970i | \(0.584501\pi\) | |||||||
\(674\) | −12.3882 | − | 21.4570i | −0.477176 | − | 0.826493i | ||||
\(675\) | −22.4161 | + | 5.12432i | −0.862795 | + | 0.197235i | ||||
\(676\) | −0.883513 | −0.0339813 | ||||||||
\(677\) | 13.0100 | − | 9.45232i | 0.500015 | − | 0.363282i | −0.309008 | − | 0.951060i | \(-0.599997\pi\) |
0.809023 | + | 0.587777i | \(0.199997\pi\) | |||||||
\(678\) | 10.1888 | − | 2.16569i | 0.391298 | − | 0.0831729i | ||||
\(679\) | 2.76027 | + | 3.06559i | 0.105929 | + | 0.117646i | ||||
\(680\) | 0.750013 | − | 7.70221i | 0.0287617 | − | 0.295366i | ||||
\(681\) | 14.6425 | + | 3.11235i | 0.561100 | + | 0.119266i | ||||
\(682\) | 3.22165 | − | 5.58006i | 0.123363 | − | 0.213672i | ||||
\(683\) | −3.39088 | − | 10.4361i | −0.129748 | − | 0.399324i | 0.864988 | − | 0.501793i | \(-0.167326\pi\) |
−0.994736 | + | 0.102468i | \(0.967326\pi\) | |||||||
\(684\) | −7.07908 | + | 6.63216i | −0.270675 | + | 0.253587i | ||||
\(685\) | 14.9111 | − | 47.1151i | 0.569725 | − | 1.80017i | ||||
\(686\) | 1.53376 | + | 14.5927i | 0.0585592 | + | 0.557154i | ||||
\(687\) | −12.1578 | + | 5.41300i | −0.463849 | + | 0.206519i | ||||
\(688\) | −0.213168 | + | 2.02816i | −0.00812694 | + | 0.0773227i | ||||
\(689\) | −1.19224 | − | 11.3434i | −0.0454207 | − | 0.432149i | ||||
\(690\) | −17.9416 | + | 3.95728i | −0.683024 | + | 0.150651i | ||||
\(691\) | −16.9641 | − | 12.3252i | −0.645346 | − | 0.468871i | 0.216337 | − | 0.976319i | \(-0.430589\pi\) |
−0.861683 | + | 0.507448i | \(0.830589\pi\) | |||||||
\(692\) | 2.08296 | + | 6.41068i | 0.0791822 | + | 0.243698i | ||||
\(693\) | 3.16299 | + | 5.47845i | 0.120152 | + | 0.208109i | ||||
\(694\) | −15.2553 | + | 16.9427i | −0.579082 | + | 0.643136i | ||||
\(695\) | 28.0464 | + | 20.0509i | 1.06386 | + | 0.760574i | ||||
\(696\) | −2.27658 | + | 7.00660i | −0.0862936 | + | 0.265584i | ||||
\(697\) | 25.9930 | − | 5.52497i | 0.984554 | − | 0.209273i | ||||
\(698\) | −0.813694 | − | 7.74178i | −0.0307988 | − | 0.293031i | ||||
\(699\) | 4.37576 | + | 7.57904i | 0.165506 | + | 0.286665i | ||||
\(700\) | 14.8395 | + | 2.91770i | 0.560880 | + | 0.110279i | ||||
\(701\) | 15.6626 | − | 27.1285i | 0.591569 | − | 1.02463i | −0.402452 | − | 0.915441i | \(-0.631842\pi\) |
0.994021 | − | 0.109187i | \(-0.0348247\pi\) | |||||||
\(702\) | 12.9508 | − | 9.40931i | 0.488797 | − | 0.355132i | ||||
\(703\) | 0.748520 | + | 37.8445i | 0.0282310 | + | 1.42733i | ||||
\(704\) | −0.290408 | + | 0.893785i | −0.0109452 | + | 0.0336858i | ||||
\(705\) | 1.77906 | + | 1.94571i | 0.0670032 | + | 0.0732795i | ||||
\(706\) | −9.96804 | − | 2.11877i | −0.375152 | − | 0.0797410i | ||||
\(707\) | −16.4980 | − | 28.5754i | −0.620472 | − | 1.07469i | ||||
\(708\) | 7.89709 | + | 1.67858i | 0.296791 | + | 0.0630848i | ||||
\(709\) | −4.79521 | + | 45.6233i | −0.180088 | + | 1.71342i | 0.415051 | + | 0.909798i | \(0.363764\pi\) |
−0.595139 | + | 0.803623i | \(0.702903\pi\) | |||||||
\(710\) | 6.13250 | − | 4.52760i | 0.230149 | − | 0.169918i | ||||
\(711\) | 11.0105 | − | 7.99957i | 0.412925 | − | 0.300007i | ||||
\(712\) | 0.165909 | − | 1.57852i | 0.00621770 | − | 0.0591574i | ||||
\(713\) | 6.69081 | − | 63.6588i | 0.250573 | − | 2.38404i | ||||
\(714\) | 7.45334 | − | 5.41517i | 0.278934 | − | 0.202658i | ||||
\(715\) | −2.31353 | − | 6.93926i | −0.0865213 | − | 0.259513i | ||||
\(716\) | −1.48169 | + | 14.0973i | −0.0553733 | + | 0.526841i | ||||
\(717\) | −20.4515 | − | 4.34709i | −0.763774 | − | 0.162345i | ||||
\(718\) | 14.6283 | + | 25.3369i | 0.545923 | + | 0.945566i | ||||
\(719\) | 35.4006 | + | 7.52463i | 1.32022 | + | 0.280621i | 0.813538 | − | 0.581512i | \(-0.197539\pi\) |
0.506682 | + | 0.862133i | \(0.330872\pi\) | |||||||
\(720\) | 0.557999 | + | 4.94485i | 0.0207954 | + | 0.184284i | ||||
\(721\) | −14.7705 | + | 45.4589i | −0.550082 | + | 1.69298i | ||||
\(722\) | −18.7265 | − | 3.21235i | −0.696927 | − | 0.119551i | ||||
\(723\) | −2.06795 | + | 1.50245i | −0.0769077 | + | 0.0558767i | ||||
\(724\) | 1.27723 | − | 2.21223i | 0.0474680 | − | 0.0822171i | ||||
\(725\) | 41.0683 | + | 8.07472i | 1.52524 | + | 0.299888i | ||||
\(726\) | 4.45186 | + | 7.71085i | 0.165224 | + | 0.286177i | ||||
\(727\) | 1.22085 | + | 11.6156i | 0.0452788 | + | 0.430799i | 0.993555 | + | 0.113352i | \(0.0361589\pi\) |
−0.948276 | + | 0.317447i | \(0.897174\pi\) | |||||||
\(728\) | −10.2986 | + | 2.18903i | −0.381691 | + | 0.0811310i | ||||
\(729\) | 1.94429 | − | 5.98391i | 0.0720108 | − | 0.221626i | ||||
\(730\) | 11.4620 | − | 0.0876795i | 0.424226 | − | 0.00324516i | ||||
\(731\) | 4.72256 | − | 5.24494i | 0.174670 | − | 0.193991i | ||||
\(732\) | 0.126009 | + | 0.218253i | 0.00465741 | + | 0.00806687i | ||||
\(733\) | −3.33672 | − | 10.2694i | −0.123244 | − | 0.379307i | 0.870333 | − | 0.492464i | \(-0.163904\pi\) |
−0.993577 | + | 0.113157i | \(0.963904\pi\) | |||||||
\(734\) | 9.73639 | + | 7.07390i | 0.359377 | + | 0.261103i | ||||
\(735\) | 2.14244 | + | 3.64612i | 0.0790252 | + | 0.134489i | ||||
\(736\) | 0.975882 | + | 9.28489i | 0.0359715 | + | 0.342246i | ||||
\(737\) | 0.163883 | − | 1.55924i | 0.00603670 | − | 0.0574353i | ||||
\(738\) | −15.6105 | + | 6.95025i | −0.574631 | + | 0.255842i | ||||
\(739\) | −3.71740 | − | 35.3687i | −0.136747 | − | 1.30106i | −0.820628 | − | 0.571463i | \(-0.806376\pi\) |
0.683881 | − | 0.729594i | \(-0.260291\pi\) | |||||||
\(740\) | 15.7960 | + | 11.2929i | 0.580674 | + | 0.415135i | ||||
\(741\) | 12.7790 | + | 3.87449i | 0.469448 | + | 0.142333i | ||||
\(742\) | 3.06272 | + | 9.42609i | 0.112436 | + | 0.346043i | ||||
\(743\) | −17.6234 | + | 30.5246i | −0.646540 | + | 1.11984i | 0.337403 | + | 0.941360i | \(0.390451\pi\) |
−0.983943 | + | 0.178480i | \(0.942882\pi\) | |||||||
\(744\) | 5.90220 | + | 1.25455i | 0.216385 | + | 0.0459941i | ||||
\(745\) | −11.4703 | + | 12.9367i | −0.420239 | + | 0.473964i | ||||
\(746\) | 1.19134 | + | 1.32312i | 0.0436181 | + | 0.0484428i | ||||
\(747\) | 5.01772 | − | 1.06655i | 0.183589 | − | 0.0390230i | ||||
\(748\) | 2.63126 | − | 1.91172i | 0.0962085 | − | 0.0698996i | ||||
\(749\) | −22.2652 | −0.813552 | ||||||||
\(750\) | −9.57523 | + | 2.26611i | −0.349638 | + | 0.0827466i | ||||
\(751\) | −10.0991 | − | 17.4921i | −0.368521 | − | 0.638297i | 0.620814 | − | 0.783958i | \(-0.286802\pi\) |
−0.989335 | + | 0.145661i | \(0.953469\pi\) | |||||||
\(752\) | 1.08383 | − | 0.787451i | 0.0395233 | − | 0.0287154i | ||||
\(753\) | −3.63422 | + | 11.1850i | −0.132438 | + | 0.407603i | ||||
\(754\) | −28.5013 | + | 6.05815i | −1.03796 | + | 0.220625i | ||||
\(755\) | 16.4549 | + | 3.36625i | 0.598855 | + | 0.122510i | ||||
\(756\) | −9.30780 | + | 10.3374i | −0.338521 | + | 0.375966i | ||||
\(757\) | 22.0169 | − | 38.1345i | 0.800219 | − | 1.38602i | −0.119253 | − | 0.992864i | \(-0.538050\pi\) |
0.919472 | − | 0.393156i | \(-0.128617\pi\) | |||||||
\(758\) | 25.4816 | + | 5.41628i | 0.925533 | + | 0.196728i | ||||
\(759\) | −6.24705 | − | 4.53875i | −0.226754 | − | 0.164746i | ||||
\(760\) | −7.06171 | + | 6.71805i | −0.256155 | + | 0.243689i | ||||
\(761\) | 15.5618 | − | 11.3063i | 0.564114 | − | 0.409853i | −0.268848 | − | 0.963183i | \(-0.586643\pi\) |
0.832962 | + | 0.553330i | \(0.186643\pi\) | |||||||
\(762\) | −0.798559 | + | 0.355541i | −0.0289287 | + | 0.0128799i | ||||
\(763\) | 10.0872 | − | 4.49109i | 0.365180 | − | 0.162588i | ||||
\(764\) | −19.6525 | − | 8.74988i | −0.711004 | − | 0.316559i | ||||
\(765\) | 8.49660 | − | 14.9800i | 0.307195 | − | 0.541603i | ||||
\(766\) | 2.54351 | − | 24.1998i | 0.0919006 | − | 0.874376i | ||||
\(767\) | 9.86745 | + | 30.3689i | 0.356293 | + | 1.09656i | ||||
\(768\) | −0.880092 | −0.0317576 | ||||||||
\(769\) | −26.5094 | + | 29.4416i | −0.955952 | + | 1.06169i | 0.0420883 | + | 0.999114i | \(0.486599\pi\) |
−0.998040 | + | 0.0625781i | \(0.980068\pi\) | |||||||
\(770\) | 3.22011 | + | 5.48015i | 0.116045 | + | 0.197491i | ||||
\(771\) | 8.00371 | − | 24.6329i | 0.288247 | − | 0.887132i | ||||
\(772\) | 3.50139 | − | 10.7762i | 0.126018 | − | 0.387843i | ||||
\(773\) | 16.9204 | + | 7.53344i | 0.608584 | + | 0.270959i | 0.687802 | − | 0.725898i | \(-0.258576\pi\) |
−0.0792183 | + | 0.996857i | \(0.525242\pi\) | |||||||
\(774\) | −2.26920 | + | 3.93037i | −0.0815646 | + | 0.141274i | ||||
\(775\) | 3.06134 | − | 34.1439i | 0.109967 | − | 1.22648i | ||||
\(776\) | −0.681907 | + | 1.18110i | −0.0244790 | + | 0.0423989i | ||||
\(777\) | 2.41635 | + | 22.9900i | 0.0866859 | + | 0.824762i | ||||
\(778\) | 6.89428 | − | 21.2184i | 0.247172 | − | 0.760717i | ||||
\(779\) | −29.3106 | − | 16.1583i | −1.05016 | − | 0.578930i | ||||
\(780\) | 5.51094 | − | 4.06870i | 0.197323 | − | 0.145683i | ||||
\(781\) | 3.13371 | + | 0.666091i | 0.112133 | + | 0.0238346i | ||||
\(782\) | 16.1552 | − | 27.9816i | 0.577709 | − | 1.00062i | ||||
\(783\) | −25.7593 | + | 28.6086i | −0.920563 | + | 1.02239i | ||||
\(784\) | 1.96315 | − | 0.874049i | 0.0701124 | − | 0.0312160i | ||||
\(785\) | −16.5955 | + | 18.7172i | −0.592320 | + | 0.668044i | ||||
\(786\) | 6.95263 | − | 5.05138i | 0.247992 | − | 0.180177i | ||||
\(787\) | −36.9567 | − | 26.8506i | −1.31736 | − | 0.957120i | −0.999961 | − | 0.00882863i | \(-0.997190\pi\) |
−0.317401 | − | 0.948291i | \(-0.602810\pi\) | |||||||
\(788\) | 0.930199 | − | 8.85025i | 0.0331370 | − | 0.315277i | ||||
\(789\) | −18.3212 | − | 8.15711i | −0.652251 | − | 0.290401i | ||||
\(790\) | 11.0012 | − | 8.12217i | 0.391407 | − | 0.288974i | ||||
\(791\) | −28.9623 | − | 21.0423i | −1.02978 | − | 0.748178i | ||||
\(792\) | −1.39944 | + | 1.55423i | −0.0497268 | + | 0.0552272i | ||||
\(793\) | −0.498380 | + | 0.863219i | −0.0176980 | + | 0.0306538i | ||||
\(794\) | 16.1572 | − | 17.9444i | 0.573399 | − | 0.636824i | ||||
\(795\) | −4.35137 | − | 4.75896i | −0.154327 | − | 0.168783i | ||||
\(796\) | −10.9285 | − | 12.1373i | −0.387349 | − | 0.430195i | ||||
\(797\) | 11.7335 | − | 36.1120i | 0.415622 | − | 1.27915i | −0.496071 | − | 0.868282i | \(-0.665224\pi\) |
0.911693 | − | 0.410872i | \(-0.134776\pi\) | |||||||
\(798\) | −11.5617 | − | 0.984460i | −0.409280 | − | 0.0348495i | ||||
\(799\) | −4.63644 | −0.164025 | ||||||||
\(800\) | 0.598654 | + | 4.96403i | 0.0211656 | + | 0.175505i | ||||
\(801\) | 1.76612 | − | 3.05901i | 0.0624028 | − | 0.108085i | ||||
\(802\) | 5.62656 | + | 2.50511i | 0.198681 | + | 0.0884584i | ||||
\(803\) | 3.22348 | + | 3.58003i | 0.113754 | + | 0.126337i | ||||
\(804\) | 1.43617 | − | 0.305266i | 0.0506496 | − | 0.0107659i | ||||
\(805\) | 51.3671 | + | 36.7233i | 1.81045 | + | 1.29433i | ||||
\(806\) | 7.37483 | + | 22.6974i | 0.259767 | + | 0.799482i | ||||
\(807\) | −10.8883 | − | 18.8592i | −0.383288 | − | 0.663874i | ||||
\(808\) | 7.29941 | − | 8.10681i | 0.256792 | − | 0.285197i | ||||
\(809\) | −43.4876 | − | 31.5956i | −1.52894 | − | 1.11084i | −0.956822 | − | 0.290673i | \(-0.906121\pi\) |
−0.572121 | − | 0.820169i | \(-0.693879\pi\) | |||||||
\(810\) | −1.77370 | + | 5.60439i | −0.0623214 | + | 0.196918i | ||||
\(811\) | 18.2930 | + | 8.14455i | 0.642353 | + | 0.285994i | 0.701947 | − | 0.712229i | \(-0.252314\pi\) |
−0.0595947 | + | 0.998223i | \(0.518981\pi\) | |||||||
\(812\) | 23.1307 | − | 10.2984i | 0.811727 | − | 0.361404i | ||||
\(813\) | 1.27396 | − | 12.1209i | 0.0446796 | − | 0.425098i | ||||
\(814\) | 0.853046 | + | 8.11619i | 0.0298992 | + | 0.284472i | ||||
\(815\) | 3.34247 | + | 3.65556i | 0.117082 | + | 0.128049i | ||||
\(816\) | 2.46414 | + | 1.79030i | 0.0862622 | + | 0.0626732i | ||||
\(817\) | −8.82042 | + | 1.10382i | −0.308587 | + | 0.0386176i | ||||
\(818\) | −29.0823 | −1.01684 | ||||||||
\(819\) | −22.9189 | − | 4.87156i | −0.800851 | − | 0.170226i | ||||
\(820\) | −15.6312 | + | 7.10322i | −0.545865 | + | 0.248055i | ||||
\(821\) | 4.06816 | − | 0.864713i | 0.141980 | − | 0.0301787i | −0.136374 | − | 0.990657i | \(-0.543545\pi\) |
0.278353 | + | 0.960479i | \(0.410211\pi\) | |||||||
\(822\) | 13.0149 | + | 14.4546i | 0.453948 | + | 0.504160i | ||||
\(823\) | 34.5116 | + | 15.3656i | 1.20300 | + | 0.535610i | 0.907629 | − | 0.419773i | \(-0.137890\pi\) |
0.295370 | + | 0.955383i | \(0.404557\pi\) | |||||||
\(824\) | −15.8026 | −0.550508 | ||||||||
\(825\) | −3.38246 | − | 2.37930i | −0.117762 | − | 0.0828366i | ||||
\(826\) | −13.8736 | − | 24.0298i | −0.482725 | − | 0.836104i | ||||
\(827\) | −32.3279 | − | 14.3933i | −1.12415 | − | 0.500505i | −0.241438 | − | 0.970416i | \(-0.577619\pi\) |
−0.882713 | + | 0.469912i | \(0.844286\pi\) | |||||||
\(828\) | −6.42038 | + | 19.7599i | −0.223123 | + | 0.686703i | ||||
\(829\) | −3.78382 | + | 11.6454i | −0.131418 | + | 0.404462i | −0.995016 | − | 0.0997193i | \(-0.968206\pi\) |
0.863598 | + | 0.504181i | \(0.168206\pi\) | |||||||
\(830\) | 5.03334 | − | 1.11018i | 0.174710 | − | 0.0385348i | ||||
\(831\) | 23.9399 | + | 5.08858i | 0.830465 | + | 0.176521i | ||||
\(832\) | −1.74044 | − | 3.01453i | −0.0603388 | − | 0.104510i | ||||
\(833\) | −7.27456 | − | 1.54626i | −0.252049 | − | 0.0535746i | ||||
\(834\) | −12.3965 | + | 5.51926i | −0.429255 | + | 0.191116i | ||||
\(835\) | 10.2875 | − | 7.59520i | 0.356013 | − | 0.262843i | ||||
\(836\) | −4.08164 | − | 0.347545i | −0.141167 | − | 0.0120201i | ||||
\(837\) | 25.5088 | + | 18.5332i | 0.881713 | + | 0.640602i | ||||
\(838\) | −17.1489 | + | 7.63519i | −0.592400 | + | 0.263753i | ||||
\(839\) | −2.63583 | − | 25.0783i | −0.0909990 | − | 0.865798i | −0.940861 | − | 0.338793i | \(-0.889981\pi\) |
0.849862 | − | 0.527005i | \(-0.176685\pi\) | |||||||
\(840\) | −3.94904 | + | 4.45390i | −0.136255 | + | 0.153674i | ||||
\(841\) | 37.5213 | − | 16.7055i | 1.29384 | − | 0.576053i | ||||
\(842\) | 11.8264 | − | 13.1345i | 0.407564 | − | 0.452646i | ||||
\(843\) | −0.917170 | −0.0315890 | ||||||||
\(844\) | 4.55564 | + | 14.0208i | 0.156812 | + | 0.482616i | ||||
\(845\) | −1.81089 | − | 0.789718i | −0.0622965 | − | 0.0271671i | ||||
\(846\) | 2.91625 | − | 0.619868i | 0.100263 | − | 0.0213115i | ||||
\(847\) | 9.45608 | − | 29.1028i | 0.324915 | − | 0.999985i | ||||
\(848\) | −2.65093 | + | 1.92601i | −0.0910332 | + | 0.0661395i | ||||
\(849\) | −1.55870 | − | 2.69975i | −0.0534945 | − | 0.0926552i | ||||
\(850\) | 8.42180 | − | 15.1164i | 0.288865 | − | 0.518489i | ||||
\(851\) | 40.5363 | + | 70.2109i | 1.38957 | + | 2.40680i | ||||
\(852\) | 0.313611 | + | 2.98380i | 0.0107441 | + | 0.102223i | ||||
\(853\) | −20.8254 | − | 23.1290i | −0.713049 | − | 0.791922i | 0.272347 | − | 0.962199i | \(-0.412200\pi\) |
−0.985396 | + | 0.170278i | \(0.945534\pi\) | |||||||
\(854\) | 0.267651 | − | 0.823746i | 0.00915884 | − | 0.0281880i | ||||
\(855\) | −20.4377 | + | 7.26603i | −0.698954 | + | 0.248493i | ||||
\(856\) | −2.27470 | − | 7.00080i | −0.0777475 | − | 0.239282i | ||||
\(857\) | −8.81777 | + | 15.2728i | −0.301209 | + | 0.521710i | −0.976410 | − | 0.215924i | \(-0.930724\pi\) |
0.675201 | + | 0.737634i | \(0.264057\pi\) | |||||||
\(858\) | 2.81610 | + | 0.598580i | 0.0961400 | + | 0.0204352i | ||||
\(859\) | −2.36828 | + | 22.5327i | −0.0808047 | + | 0.768805i | 0.876826 | + | 0.480807i | \(0.159656\pi\) |
−0.957631 | + | 0.287998i | \(0.907010\pi\) | |||||||
\(860\) | −2.24976 | + | 3.96646i | −0.0767162 | + | 0.135255i | ||||
\(861\) | −18.6730 | − | 8.31377i | −0.636375 | − | 0.283333i | ||||
\(862\) | −7.51986 | − | 5.46350i | −0.256127 | − | 0.186087i | ||||
\(863\) | 19.7950 | + | 14.3819i | 0.673829 | + | 0.489566i | 0.871305 | − | 0.490742i | \(-0.163274\pi\) |
−0.197476 | + | 0.980308i | \(0.563274\pi\) | |||||||
\(864\) | −4.20127 | − | 1.87053i | −0.142930 | − | 0.0636366i | ||||
\(865\) | −1.46079 | + | 15.0015i | −0.0496683 | + | 0.510065i | ||||
\(866\) | −2.92388 | − | 2.12432i | −0.0993574 | − | 0.0721874i | ||||
\(867\) | 1.36598 | + | 4.20406i | 0.0463912 | + | 0.142778i | ||||
\(868\) | −10.3690 | − | 17.9596i | −0.351947 | − | 0.609590i | ||||
\(869\) | 5.62165 | + | 1.19492i | 0.190701 | + | 0.0405348i | ||||
\(870\) | −10.9290 | + | 12.3262i | −0.370526 | + | 0.417896i | ||||
\(871\) | 3.88572 | + | 4.31553i | 0.131662 | + | 0.146226i | ||||
\(872\) | 2.44267 | + | 2.71286i | 0.0827192 | + | 0.0918689i | ||||
\(873\) | −2.45543 | + | 1.78398i | −0.0831038 | + | 0.0603785i | ||||
\(874\) | −38.4468 | + | 13.3383i | −1.30048 | + | 0.451174i | ||||
\(875\) | 27.8078 | + | 19.2443i | 0.940074 | + | 0.650578i | ||||
\(876\) | −2.25572 | + | 3.90702i | −0.0762137 | + | 0.132006i | ||||
\(877\) | 1.01750 | + | 9.68082i | 0.0343584 | + | 0.326898i | 0.998178 | + | 0.0603419i | \(0.0192191\pi\) |
−0.963819 | + | 0.266556i | \(0.914114\pi\) | |||||||
\(878\) | −18.1343 | + | 3.85457i | −0.612004 | + | 0.130086i | ||||
\(879\) | −15.2017 | − | 16.8832i | −0.512741 | − | 0.569457i | ||||
\(880\) | −1.39413 | + | 1.57237i | −0.0469962 | + | 0.0530044i | ||||
\(881\) | −16.9460 | − | 52.1545i | −0.570926 | − | 1.75713i | −0.649652 | − | 0.760232i | \(-0.725085\pi\) |
0.0787260 | − | 0.996896i | \(-0.474915\pi\) | |||||||
\(882\) | 4.78231 | 0.161029 | ||||||||
\(883\) | 15.8358 | − | 17.5874i | 0.532916 | − | 0.591863i | −0.415223 | − | 0.909720i | \(-0.636296\pi\) |
0.948139 | + | 0.317856i | \(0.102963\pi\) | |||||||
\(884\) | −1.25922 | + | 11.9807i | −0.0423523 | + | 0.402955i | ||||
\(885\) | 14.6859 | + | 10.4992i | 0.493660 | + | 0.352927i | ||||
\(886\) | 12.8249 | − | 9.31781i | 0.430860 | − | 0.313038i | ||||
\(887\) | −1.67777 | + | 15.9630i | −0.0563342 | + | 0.535984i | 0.929567 | + | 0.368654i | \(0.120181\pi\) |
−0.985901 | + | 0.167330i | \(0.946485\pi\) | |||||||
\(888\) | −6.98183 | + | 3.10851i | −0.234295 | + | 0.104315i | ||||
\(889\) | 2.74450 | + | 1.22193i | 0.0920477 | + | 0.0409823i | ||||
\(890\) | 1.75099 | − | 3.08711i | 0.0586934 | − | 0.103480i | ||||
\(891\) | −2.25699 | + | 1.00487i | −0.0756119 | + | 0.0336646i | ||||
\(892\) | 3.48420 | + | 10.7233i | 0.116660 | + | 0.359042i | ||||
\(893\) | 4.41607 | + | 3.82086i | 0.147778 | + | 0.127860i | ||||
\(894\) | −2.10284 | − | 6.47189i | −0.0703296 | − | 0.216452i | ||||
\(895\) | −15.6377 | + | 27.5701i | −0.522709 | + | 0.921568i | ||||
\(896\) | 2.02393 | + | 2.24781i | 0.0676148 | + | 0.0750939i | ||||
\(897\) | 27.9759 | − | 5.94645i | 0.934087 | − | 0.198546i | ||||
\(898\) | −2.39013 | − | 22.7406i | −0.0797597 | − | 0.758863i | ||||
\(899\) | −28.6962 | − | 49.7033i | −0.957072 | − | 1.65770i | ||||
\(900\) | −3.27619 | + | 10.6340i | −0.109206 | + | 0.354465i | ||||
\(901\) | 11.3402 | 0.377796 | ||||||||
\(902\) | −6.59217 | − | 2.93502i | −0.219495 | − | 0.0977256i | ||||
\(903\) | −5.31012 | + | 1.12870i | −0.176710 | + | 0.0375608i | ||||
\(904\) | 3.65739 | − | 11.2563i | 0.121643 | − | 0.374379i | ||||
\(905\) | 4.59526 | − | 3.39266i | 0.152752 | − | 0.112776i | ||||
\(906\) | −4.42336 | + | 4.91264i | −0.146956 | + | 0.163211i | ||||
\(907\) | −17.3965 | + | 30.1316i | −0.577642 | + | 1.00050i | 0.418107 | + | 0.908398i | \(0.362694\pi\) |
−0.995749 | + | 0.0921072i | \(0.970640\pi\) | |||||||
\(908\) | 11.3813 | − | 12.6402i | 0.377702 | − | 0.419481i | ||||
\(909\) | 22.1780 | − | 9.87428i | 0.735598 | − | 0.327509i | ||||
\(910\) | −23.0651 | − | 4.71853i | −0.764601 | − | 0.156418i | ||||
\(911\) | 41.4322 | − | 30.1022i | 1.37271 | − | 0.997332i | 0.375190 | − | 0.926948i | \(-0.377578\pi\) |
0.997520 | − | 0.0703838i | \(-0.0224224\pi\) | |||||||
\(912\) | −0.871645 | − | 3.73590i | −0.0288631 | − | 0.123708i | ||||
\(913\) | 1.75255 | + | 1.27330i | 0.0580010 | + | 0.0421402i | ||||
\(914\) | −2.91284 | − | 27.7139i | −0.0963483 | − | 0.916693i | ||||
\(915\) | 0.0631900 | + | 0.559973i | 0.00208900 | + | 0.0185121i | ||||
\(916\) | −1.58063 | + | 15.0387i | −0.0522256 | + | 0.496893i | ||||
\(917\) | −28.8904 | − | 6.14084i | −0.954044 | − | 0.202788i | ||||
\(918\) | 7.95794 | + | 13.7836i | 0.262651 | + | 0.454925i | ||||
\(919\) | 6.80124 | + | 20.9321i | 0.224352 | + | 0.690485i | 0.998357 | + | 0.0573051i | \(0.0182508\pi\) |
−0.774004 | + | 0.633180i | \(0.781749\pi\) | |||||||
\(920\) | −6.29898 | + | 19.9030i | −0.207671 | + | 0.656184i | ||||
\(921\) | 2.91583 | − | 0.619780i | 0.0960800 | − | 0.0204224i | ||||
\(922\) | −39.8300 | + | 8.46612i | −1.31173 | + | 0.278817i | ||||
\(923\) | −9.60006 | + | 6.97485i | −0.315990 | + | 0.229580i | ||||
\(924\) | −2.50173 | −0.0823008 | ||||||||
\(925\) | 22.2823 | + | 37.2656i | 0.732637 | + | 1.22528i | ||||
\(926\) | −7.00368 | + | 12.1307i | −0.230155 | + | 0.398640i | ||||
\(927\) | −32.1272 | − | 14.3040i | −1.05520 | − | 0.469804i | ||||
\(928\) | 5.60123 | + | 6.22080i | 0.183869 | + | 0.204208i | ||||
\(929\) | 16.7624 | + | 18.6165i | 0.549956 | + | 0.610788i | 0.952473 | − | 0.304625i | \(-0.0985310\pi\) |
−0.402516 | + | 0.915413i | \(0.631864\pi\) | |||||||
\(930\) | 10.9761 | + | 7.84700i | 0.359919 | + | 0.257313i | ||||
\(931\) | 5.65455 | + | 7.46768i | 0.185320 | + | 0.244743i | ||||
\(932\) | 9.94386 | 0.325722 | ||||||||
\(933\) | 11.5932 | + | 2.46422i | 0.379545 | + | 0.0806748i | ||||
\(934\) | −9.89171 | + | 4.40407i | −0.323667 | + | 0.144106i | ||||
\(935\) | 7.10193 | − | 1.56644i | 0.232258 | − | 0.0512280i | ||||
\(936\) | −0.809727 | − | 7.70403i | −0.0264667 | − | 0.251814i | ||||
\(937\) | 5.02964 | − | 47.8538i | 0.164311 | − | 1.56332i | −0.532731 | − | 0.846285i | \(-0.678834\pi\) |
0.697042 | − | 0.717031i | \(-0.254499\pi\) | |||||||
\(938\) | −4.08239 | − | 2.96603i | −0.133295 | − | 0.0968444i | ||||
\(939\) | 6.34370 | − | 4.60897i | 0.207019 | − | 0.150408i | ||||
\(940\) | 2.92533 | − | 0.645225i | 0.0954137 | − | 0.0210449i | ||||
\(941\) | 1.92534 | − | 18.3184i | 0.0627644 | − | 0.597163i | −0.917260 | − | 0.398288i | \(-0.869605\pi\) |
0.980025 | − | 0.198875i | \(-0.0637288\pi\) | |||||||
\(942\) | −3.04245 | − | 9.36371i | −0.0991285 | − | 0.305086i | ||||
\(943\) | −71.6859 | −2.33442 | ||||||||
\(944\) | 6.13826 | − | 6.81723i | 0.199783 | − | 0.221882i | ||||
\(945\) | −28.3176 | + | 12.8683i | −0.921172 | + | 0.418605i | ||||
\(946\) | −1.87464 | + | 0.398467i | −0.0609498 | + | 0.0129553i | ||||
\(947\) | −30.3130 | − | 33.6660i | −0.985041 | − | 1.09400i | −0.995567 | − | 0.0940547i | \(-0.970017\pi\) |
0.0105256 | − | 0.999945i | \(-0.496650\pi\) | |||||||
\(948\) | 0.562594 | + | 5.35272i | 0.0182722 | + | 0.173848i | ||||
\(949\) | −17.8433 | −0.579218 | ||||||||
\(950\) | −20.4789 | + | 7.45761i | −0.664422 | + | 0.241957i | ||||
\(951\) | 15.3982 | 0.499322 | ||||||||
\(952\) | −1.09421 | − | 10.4107i | −0.0354635 | − | 0.337412i | ||||
\(953\) | −39.0263 | − | 43.3431i | −1.26419 | − | 1.40402i | −0.875907 | − | 0.482481i | \(-0.839736\pi\) |
−0.388281 | − | 0.921541i | \(-0.626931\pi\) | |||||||
\(954\) | −7.13280 | + | 1.51612i | −0.230933 | + | 0.0490863i | ||||
\(955\) | −32.4598 | − | 35.5004i | −1.05037 | − | 1.14876i | ||||
\(956\) | −15.8965 | + | 17.6549i | −0.514131 | + | 0.571000i | ||||
\(957\) | −6.92353 | −0.223806 | ||||||||
\(958\) | 1.38602 | + | 4.26572i | 0.0447802 | + | 0.137819i | ||||
\(959\) | 6.98752 | − | 66.4818i | 0.225639 | − | 2.14681i | ||||
\(960\) | −1.80388 | − | 0.786660i | −0.0582199 | − | 0.0253893i | ||||
\(961\) | −12.9500 | + | 9.40872i | −0.417742 | + | 0.303507i | ||||
\(962\) | −24.4544 | − | 17.7672i | −0.788442 | − | 0.572837i | ||||
\(963\) | 1.71234 | − | 16.2919i | 0.0551795 | − | 0.524998i | ||||
\(964\) | 0.303590 | + | 2.88847i | 0.00977799 | + | 0.0930313i | ||||
\(965\) | 16.8088 | − | 18.9577i | 0.541093 | − | 0.610269i | ||||
\(966\) | −22.7042 | + | 10.1086i | −0.730495 | + | 0.325238i | ||||
\(967\) | −11.5117 | − | 2.44688i | −0.370191 | − | 0.0786865i | 0.0190599 | − | 0.999818i | \(-0.493933\pi\) |
−0.389251 | + | 0.921132i | \(0.627266\pi\) | |||||||
\(968\) | 10.1168 | 0.325167 | ||||||||
\(969\) | −5.15915 | + | 12.2331i | −0.165736 | + | 0.392985i | ||||
\(970\) | −2.45338 | + | 1.81132i | −0.0787732 | + | 0.0581579i | ||||
\(971\) | 12.6264 | + | 14.0230i | 0.405200 | + | 0.450020i | 0.910862 | − | 0.412712i | \(-0.135418\pi\) |
−0.505662 | + | 0.862732i | \(0.668752\pi\) | |||||||
\(972\) | −10.7799 | − | 11.9723i | −0.345764 | − | 0.384010i | ||||
\(973\) | 42.6044 | + | 18.9687i | 1.36584 | + | 0.608109i | ||||
\(974\) | 13.8547 | − | 23.9971i | 0.443933 | − | 0.768915i | ||||
\(975\) | 14.9323 | − | 3.41352i | 0.478215 | − | 0.109320i | ||||
\(976\) | 0.286353 | 0.00916594 | ||||||||
\(977\) | 3.09099 | − | 2.24574i | 0.0988896 | − | 0.0718475i | −0.537242 | − | 0.843428i | \(-0.680534\pi\) |
0.636131 | + | 0.771581i | \(0.280534\pi\) | |||||||
\(978\) | −1.90696 | + | 0.405338i | −0.0609780 | + | 0.0129613i | ||||
\(979\) | 1.45904 | − | 0.310128i | 0.0466310 | − | 0.00991172i | ||||
\(980\) | 4.80502 | − | 0.0367565i | 0.153491 | − | 0.00117414i | ||||
\(981\) | 2.51045 | + | 7.72637i | 0.0801524 | + | 0.246684i | ||||
\(982\) | 4.21736 | + | 7.30468i | 0.134581 | + | 0.233102i | ||||
\(983\) | −54.3315 | − | 11.5485i | −1.73291 | − | 0.368340i | −0.769972 | − | 0.638078i | \(-0.779730\pi\) |
−0.962934 | + | 0.269738i | \(0.913063\pi\) | |||||||
\(984\) | 0.706373 | − | 6.72069i | 0.0225184 | − | 0.214248i | ||||
\(985\) | 9.81727 | − | 17.3084i | 0.312804 | − | 0.551493i | ||||
\(986\) | −3.02822 | − | 28.8116i | −0.0964381 | − | 0.917547i | ||||
\(987\) | 2.88520 | + | 2.09622i | 0.0918369 | + | 0.0667234i | ||||
\(988\) | 11.0726 | − | 10.3736i | 0.352266 | − | 0.330027i | ||||
\(989\) | −15.4031 | + | 11.1910i | −0.489789 | + | 0.355852i | ||||
\(990\) | −4.25758 | + | 1.93476i | −0.135315 | + | 0.0614906i | ||||
\(991\) | −35.4968 | + | 15.8042i | −1.12759 | + | 0.502037i | −0.883835 | − | 0.467798i | \(-0.845047\pi\) |
−0.243759 | + | 0.969836i | \(0.578381\pi\) | |||||||
\(992\) | 4.58767 | − | 5.09513i | 0.145659 | − | 0.161770i | ||||
\(993\) | 13.6397 | − | 23.6246i | 0.432842 | − | 0.749704i | ||||
\(994\) | 6.89960 | − | 7.66278i | 0.218842 | − | 0.243049i | ||||
\(995\) | −11.5507 | − | 34.6455i | −0.366183 | − | 1.09833i | ||||
\(996\) | −0.626898 | + | 1.92939i | −0.0198640 | + | 0.0611352i | ||||
\(997\) | 7.00116 | − | 1.48814i | 0.221729 | − | 0.0471299i | −0.0957075 | − | 0.995409i | \(-0.530511\pi\) |
0.317436 | + | 0.948280i | \(0.397178\pi\) | |||||||
\(998\) | −1.94109 | − | 0.864230i | −0.0614442 | − | 0.0273567i | ||||
\(999\) | −39.9358 | −1.26351 |
(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 | 950.2.r.a.11.9 | ✓ | 200 | |
19.7 | even | 3 | inner | 950.2.r.a.311.17 | yes | 200 | |
25.16 | even | 5 | inner | 950.2.r.a.391.17 | yes | 200 | |
475.216 | even | 15 | inner | 950.2.r.a.691.9 | yes | 200 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
950.2.r.a.11.9 | ✓ | 200 | 1.1 | even | 1 | trivial | |
950.2.r.a.311.17 | yes | 200 | 19.7 | even | 3 | inner | |
950.2.r.a.391.17 | yes | 200 | 25.16 | even | 5 | inner | |
950.2.r.a.691.9 | yes | 200 | 475.216 | even | 15 | inner |