Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(44,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.44");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.o (of order \(6\), degree \(2\), 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: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(40\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 44.8 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.8 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.897800 | + | 1.55504i | −0.448900 | + | 0.777518i | −0.998315 | − | 0.0580320i | \(-0.981517\pi\) |
0.549415 | + | 0.835550i | \(0.314851\pi\) | |||||||
\(3\) | 2.91099 | − | 0.725349i | 0.970330 | − | 0.241783i | ||||
\(4\) | 0.387909 | + | 0.671879i | 0.0969773 | + | 0.167970i | ||||
\(5\) | 4.89966 | + | 0.996641i | 0.979933 | + | 0.199328i | ||||
\(6\) | −1.48554 | + | 5.17791i | −0.247591 | + | 0.862986i | ||||
\(7\) | 1.39571 | − | 6.85945i | 0.199386 | − | 0.979921i | ||||
\(8\) | −8.57546 | −1.07193 | ||||||||
\(9\) | 7.94774 | − | 4.22297i | 0.883082 | − | 0.469219i | ||||
\(10\) | −5.94873 | + | 6.72437i | −0.594873 | + | 0.672437i | ||||
\(11\) | −1.00783 | + | 0.581870i | −0.0916208 | + | 0.0528973i | −0.545110 | − | 0.838364i | \(-0.683512\pi\) |
0.453490 | + | 0.891262i | \(0.350179\pi\) | |||||||
\(12\) | 1.61655 | + | 1.67446i | 0.134712 | + | 0.139539i | ||||
\(13\) | 12.4799i | 0.959993i | 0.877270 | + | 0.479996i | \(0.159362\pi\) | ||||
−0.877270 | + | 0.479996i | \(0.840638\pi\) | |||||||
\(14\) | 9.41362 | + | 8.32879i | 0.672401 | + | 0.594913i | ||||
\(15\) | 14.9858 | − | 0.652756i | 0.999053 | − | 0.0435171i | ||||
\(16\) | 6.14742 | − | 10.6476i | 0.384213 | − | 0.665477i | ||||
\(17\) | −9.31485 | − | 16.1338i | −0.547933 | − | 0.949047i | −0.998416 | − | 0.0562623i | \(-0.982082\pi\) |
0.450483 | − | 0.892785i | \(-0.351252\pi\) | |||||||
\(18\) | −0.568609 | + | 16.1504i | −0.0315894 | + | 0.897244i | ||||
\(19\) | −15.2033 | + | 26.3329i | −0.800174 | + | 1.38594i | 0.119327 | + | 0.992855i | \(0.461926\pi\) |
−0.919501 | + | 0.393087i | \(0.871407\pi\) | |||||||
\(20\) | 1.23100 | + | 3.67859i | 0.0615502 | + | 0.183929i | ||||
\(21\) | −0.912610 | − | 20.9802i | −0.0434576 | − | 0.999055i | ||||
\(22\) | − | 2.08961i | − | 0.0949824i | ||||||
\(23\) | −13.7201 | + | 23.7640i | −0.596527 | + | 1.03322i | 0.396802 | + | 0.917904i | \(0.370120\pi\) |
−0.993329 | + | 0.115311i | \(0.963213\pi\) | |||||||
\(24\) | −24.9631 | + | 6.22021i | −1.04013 | + | 0.259175i | ||||
\(25\) | 23.0134 | + | 9.76641i | 0.920537 | + | 0.390656i | ||||
\(26\) | −19.4067 | − | 11.2045i | −0.746412 | − | 0.430941i | ||||
\(27\) | 20.0727 | − | 18.0579i | 0.743432 | − | 0.668812i | ||||
\(28\) | 5.15012 | − | 1.72310i | 0.183933 | − | 0.0615392i | ||||
\(29\) | − | 52.6691i | − | 1.81617i | −0.418781 | − | 0.908087i | \(-0.637543\pi\) | ||
0.418781 | − | 0.908087i | \(-0.362457\pi\) | |||||||
\(30\) | −12.4392 | + | 23.8895i | −0.414640 | + | 0.796316i | ||||
\(31\) | −17.2838 | − | 29.9364i | −0.557542 | − | 0.965692i | −0.997701 | − | 0.0677718i | \(-0.978411\pi\) |
0.440158 | − | 0.897920i | \(-0.354922\pi\) | |||||||
\(32\) | −6.11262 | − | 10.5874i | −0.191019 | − | 0.330855i | ||||
\(33\) | −2.51172 | + | 2.42485i | −0.0761128 | + | 0.0734802i | ||||
\(34\) | 33.4515 | 0.983868 | ||||||||
\(35\) | 13.6749 | − | 32.2180i | 0.390711 | − | 0.920513i | ||||
\(36\) | 5.92032 | + | 3.70178i | 0.164453 | + | 0.102827i | ||||
\(37\) | −0.357210 | − | 0.206235i | −0.00965431 | − | 0.00557392i | 0.495165 | − | 0.868799i | \(-0.335108\pi\) |
−0.504819 | + | 0.863225i | \(0.668441\pi\) | |||||||
\(38\) | −27.2991 | − | 47.2834i | −0.718396 | − | 1.24430i | ||||
\(39\) | 9.05229 | + | 36.3289i | 0.232110 | + | 0.931510i | ||||
\(40\) | −42.0169 | − | 8.54666i | −1.05042 | − | 0.213666i | ||||
\(41\) | − | 17.2132i | − | 0.419835i | −0.977719 | − | 0.209918i | \(-0.932680\pi\) | ||
0.977719 | − | 0.209918i | \(-0.0673195\pi\) | |||||||
\(42\) | 33.4442 | + | 17.4169i | 0.796291 | + | 0.414687i | ||||
\(43\) | − | 7.86972i | − | 0.183017i | −0.995804 | − | 0.0915084i | \(-0.970831\pi\) | ||
0.995804 | − | 0.0915084i | \(-0.0291688\pi\) | |||||||
\(44\) | −0.781892 | − | 0.451426i | −0.0177703 | − | 0.0102597i | ||||
\(45\) | 43.1500 | − | 12.7701i | 0.958889 | − | 0.283780i | ||||
\(46\) | −24.6359 | − | 42.6706i | −0.535562 | − | 0.927621i | ||||
\(47\) | −17.4089 | + | 30.1530i | −0.370401 | + | 0.641554i | −0.989627 | − | 0.143659i | \(-0.954113\pi\) |
0.619226 | + | 0.785213i | \(0.287447\pi\) | |||||||
\(48\) | 10.1718 | − | 35.4542i | 0.211913 | − | 0.738629i | ||||
\(49\) | −45.1040 | − | 19.1475i | −0.920490 | − | 0.390766i | ||||
\(50\) | −35.8486 | + | 27.0184i | −0.716971 | + | 0.540368i | ||||
\(51\) | −38.8181 | − | 40.2088i | −0.761139 | − | 0.788408i | ||||
\(52\) | −8.38498 | + | 4.84107i | −0.161250 | + | 0.0930975i | ||||
\(53\) | 17.8667 | + | 30.9460i | 0.337107 | + | 0.583886i | 0.983887 | − | 0.178790i | \(-0.0572183\pi\) |
−0.646780 | + | 0.762676i | \(0.723885\pi\) | |||||||
\(54\) | 10.0595 | + | 47.4261i | 0.186286 | + | 0.878261i | ||||
\(55\) | −5.51794 | + | 1.84653i | −0.100326 | + | 0.0335732i | ||||
\(56\) | −11.9688 | + | 58.8229i | −0.213729 | + | 1.05041i | ||||
\(57\) | −25.1561 | + | 87.6825i | −0.441336 | + | 1.53829i | ||||
\(58\) | 81.9023 | + | 47.2863i | 1.41211 | + | 0.815281i | ||||
\(59\) | 32.3428 | − | 18.6731i | 0.548184 | − | 0.316494i | −0.200205 | − | 0.979754i | \(-0.564161\pi\) |
0.748389 | + | 0.663260i | \(0.230828\pi\) | |||||||
\(60\) | 6.25170 | + | 9.81542i | 0.104195 | + | 0.163590i | ||||
\(61\) | 25.4414 | − | 44.0659i | 0.417073 | − | 0.722391i | −0.578571 | − | 0.815632i | \(-0.696389\pi\) |
0.995644 | + | 0.0932408i | \(0.0297226\pi\) | |||||||
\(62\) | 62.0697 | 1.00112 | ||||||||
\(63\) | −17.8745 | − | 60.4111i | −0.283723 | − | 0.958906i | ||||
\(64\) | 71.1310 | 1.11142 | ||||||||
\(65\) | −12.4380 | + | 61.1474i | −0.191354 | + | 0.940729i | ||||
\(66\) | −1.51570 | − | 6.08285i | −0.0229652 | − | 0.0921643i | ||||
\(67\) | −24.9784 | + | 14.4213i | −0.372812 | + | 0.215243i | −0.674686 | − | 0.738105i | \(-0.735721\pi\) |
0.301874 | + | 0.953348i | \(0.402388\pi\) | |||||||
\(68\) | 7.22664 | − | 12.5169i | 0.106274 | − | 0.184072i | ||||
\(69\) | −22.7020 | + | 79.1285i | −0.329014 | + | 1.14679i | ||||
\(70\) | 37.8228 | + | 50.1902i | 0.540325 | + | 0.717004i | ||||
\(71\) | 66.8477i | 0.941518i | 0.882262 | + | 0.470759i | \(0.156020\pi\) | ||||
−0.882262 | + | 0.470759i | \(0.843980\pi\) | |||||||
\(72\) | −68.1555 | + | 36.2139i | −0.946604 | + | 0.502971i | ||||
\(73\) | −46.7701 | + | 27.0027i | −0.640686 | + | 0.369900i | −0.784879 | − | 0.619649i | \(-0.787275\pi\) |
0.144192 | + | 0.989550i | \(0.453942\pi\) | |||||||
\(74\) | 0.641406 | − | 0.370316i | 0.00866765 | − | 0.00500427i | ||||
\(75\) | 74.0759 | + | 11.7372i | 0.987679 | + | 0.156496i | ||||
\(76\) | −23.5900 | −0.310395 | ||||||||
\(77\) | 2.58468 | + | 7.72527i | 0.0335672 | + | 0.100328i | ||||
\(78\) | −64.6199 | − | 18.5395i | −0.828460 | − | 0.237685i | ||||
\(79\) | −16.6402 | + | 28.8216i | −0.210635 | + | 0.364831i | −0.951914 | − | 0.306367i | \(-0.900887\pi\) |
0.741278 | + | 0.671198i | \(0.234220\pi\) | |||||||
\(80\) | 40.7321 | − | 46.0431i | 0.509152 | − | 0.575538i | ||||
\(81\) | 45.3330 | − | 67.1261i | 0.559667 | − | 0.828718i | ||||
\(82\) | 26.7672 | + | 15.4540i | 0.326429 | + | 0.188464i | ||||
\(83\) | 72.0714 | 0.868330 | 0.434165 | − | 0.900833i | \(-0.357043\pi\) | ||||
0.434165 | + | 0.900833i | \(0.357043\pi\) | |||||||
\(84\) | 13.7421 | − | 8.75156i | 0.163597 | − | 0.104185i | ||||
\(85\) | −29.5601 | − | 88.3338i | −0.347765 | − | 1.03922i | ||||
\(86\) | 12.2377 | + | 7.06544i | 0.142299 | + | 0.0821562i | ||||
\(87\) | −38.2035 | − | 153.319i | −0.439120 | − | 1.76229i | ||||
\(88\) | 8.64260 | − | 4.98981i | 0.0982114 | − | 0.0567024i | ||||
\(89\) | 41.4850 | + | 23.9513i | 0.466123 | + | 0.269116i | 0.714615 | − | 0.699518i | \(-0.246602\pi\) |
−0.248492 | + | 0.968634i | \(0.579935\pi\) | |||||||
\(90\) | −18.8821 | + | 78.5648i | −0.209802 | + | 0.872943i | ||||
\(91\) | 85.6053 | + | 17.4183i | 0.940717 | + | 0.191410i | ||||
\(92\) | −21.2887 | −0.231398 | ||||||||
\(93\) | −72.0274 | − | 74.6079i | −0.774488 | − | 0.802236i | ||||
\(94\) | −31.2594 | − | 54.1428i | −0.332546 | − | 0.575987i | ||||
\(95\) | −100.736 | + | 113.870i | −1.06037 | + | 1.19863i | ||||
\(96\) | −25.4733 | − | 26.3860i | −0.265347 | − | 0.274854i | ||||
\(97\) | − | 66.7480i | − | 0.688124i | −0.938947 | − | 0.344062i | \(-0.888197\pi\) | ||
0.938947 | − | 0.344062i | \(-0.111803\pi\) | |||||||
\(98\) | 70.2695 | − | 52.9477i | 0.717036 | − | 0.540283i | ||||
\(99\) | −5.55274 | + | 8.88059i | −0.0560883 | + | 0.0897029i | ||||
\(100\) | 2.36527 | + | 19.2507i | 0.0236527 | + | 0.192507i | ||||
\(101\) | 19.3539 | − | 11.1740i | 0.191623 | − | 0.110633i | −0.401119 | − | 0.916026i | \(-0.631379\pi\) |
0.592742 | + | 0.805392i | \(0.298045\pi\) | |||||||
\(102\) | 97.3771 | − | 24.2640i | 0.954677 | − | 0.237883i | ||||
\(103\) | 12.8487 | + | 7.41823i | 0.124745 | + | 0.0720216i | 0.561074 | − | 0.827766i | \(-0.310388\pi\) |
−0.436329 | + | 0.899787i | \(0.643722\pi\) | |||||||
\(104\) | − | 107.021i | − | 1.02905i | ||||||
\(105\) | 16.4382 | − | 103.705i | 0.156554 | − | 0.987669i | ||||
\(106\) | −64.1628 | −0.605309 | ||||||||
\(107\) | −16.9958 | + | 29.4376i | −0.158840 | + | 0.275118i | −0.934450 | − | 0.356093i | \(-0.884109\pi\) |
0.775611 | + | 0.631211i | \(0.217442\pi\) | |||||||
\(108\) | 19.9191 | + | 6.48156i | 0.184436 | + | 0.0600144i | ||||
\(109\) | 45.3155 | + | 78.4888i | 0.415739 | + | 0.720081i | 0.995506 | − | 0.0947015i | \(-0.0301897\pi\) |
−0.579767 | + | 0.814782i | \(0.696856\pi\) | |||||||
\(110\) | 2.08259 | − | 10.2384i | 0.0189327 | − | 0.0930764i | ||||
\(111\) | −1.18943 | − | 0.341247i | −0.0107156 | − | 0.00307429i | ||||
\(112\) | −64.4569 | − | 57.0288i | −0.575508 | − | 0.509186i | ||||
\(113\) | 76.2557 | 0.674830 | 0.337415 | − | 0.941356i | \(-0.390448\pi\) | ||||
0.337415 | + | 0.941356i | \(0.390448\pi\) | |||||||
\(114\) | −113.764 | − | 117.840i | −0.997932 | − | 1.03368i | ||||
\(115\) | −90.9081 | + | 102.761i | −0.790505 | + | 0.893577i | ||||
\(116\) | 35.3872 | − | 20.4308i | 0.305062 | − | 0.176128i | ||||
\(117\) | 52.7023 | + | 99.1870i | 0.450447 | + | 0.847752i | ||||
\(118\) | 67.0590i | 0.568297i | ||||||||
\(119\) | −123.670 | + | 41.3767i | −1.03924 | + | 0.347703i | ||||
\(120\) | −128.510 | + | 5.59769i | −1.07092 | + | 0.0466474i | ||||
\(121\) | −59.8229 | + | 103.616i | −0.494404 | + | 0.856332i | ||||
\(122\) | 45.6827 | + | 79.1247i | 0.374448 | + | 0.648563i | ||||
\(123\) | −12.4856 | − | 50.1076i | −0.101509 | − | 0.407379i | ||||
\(124\) | 13.4091 | − | 23.2253i | 0.108138 | − | 0.187300i | ||||
\(125\) | 103.024 | + | 70.7882i | 0.824195 | + | 0.566306i | ||||
\(126\) | 109.989 | + | 26.4415i | 0.872930 | + | 0.209854i | ||||
\(127\) | 0.573646i | 0.00451690i | 0.999997 | + | 0.00225845i | \(0.000718888\pi\) | ||||
−0.999997 | + | 0.00225845i | \(0.999281\pi\) | |||||||
\(128\) | −39.4109 | + | 68.2617i | −0.307898 | + | 0.533295i | ||||
\(129\) | −5.70830 | − | 22.9087i | −0.0442504 | − | 0.177587i | ||||
\(130\) | −83.9195 | − | 74.2396i | −0.645535 | − | 0.571074i | ||||
\(131\) | −199.680 | − | 115.285i | −1.52427 | − | 0.880039i | −0.999587 | − | 0.0287429i | \(-0.990850\pi\) |
−0.524686 | − | 0.851296i | \(-0.675817\pi\) | |||||||
\(132\) | −2.60352 | − | 0.746951i | −0.0197237 | − | 0.00565872i | ||||
\(133\) | 159.410 | + | 141.039i | 1.19857 | + | 1.06045i | ||||
\(134\) | − | 51.7898i | − | 0.386491i | ||||||
\(135\) | 116.347 | − | 68.4725i | 0.861826 | − | 0.507204i | ||||
\(136\) | 79.8792 | + | 138.355i | 0.587347 | + | 1.01731i | ||||
\(137\) | −13.9490 | − | 24.1603i | −0.101817 | − | 0.176353i | 0.810616 | − | 0.585578i | \(-0.199132\pi\) |
−0.912433 | + | 0.409225i | \(0.865799\pi\) | |||||||
\(138\) | −102.666 | − | 106.344i | −0.743955 | − | 0.770609i | ||||
\(139\) | −130.478 | −0.938693 | −0.469346 | − | 0.883014i | \(-0.655510\pi\) | ||||
−0.469346 | + | 0.883014i | \(0.655510\pi\) | |||||||
\(140\) | 26.9512 | − | 3.30978i | 0.192508 | − | 0.0236413i | ||||
\(141\) | −28.8056 | + | 100.403i | −0.204295 | + | 0.712076i | ||||
\(142\) | −103.951 | − | 60.0159i | −0.732047 | − | 0.422647i | ||||
\(143\) | −7.26169 | − | 12.5776i | −0.0507810 | − | 0.0879553i | ||||
\(144\) | 3.89338 | − | 110.585i | 0.0270373 | − | 0.767951i | ||||
\(145\) | 52.4921 | − | 258.061i | 0.362015 | − | 1.77973i | ||||
\(146\) | − | 96.9723i | − | 0.664194i | ||||||
\(147\) | −145.186 | − | 23.0221i | −0.987660 | − | 0.156613i | ||||
\(148\) | − | 0.320002i | − | 0.00216218i | ||||||
\(149\) | 137.529 | + | 79.4024i | 0.923013 | + | 0.532902i | 0.884595 | − | 0.466360i | \(-0.154435\pi\) |
0.0384179 | + | 0.999262i | \(0.487768\pi\) | |||||||
\(150\) | −84.7571 | + | 104.653i | −0.565047 | + | 0.697687i | ||||
\(151\) | 24.0390 | + | 41.6367i | 0.159198 | + | 0.275740i | 0.934580 | − | 0.355753i | \(-0.115776\pi\) |
−0.775381 | + | 0.631493i | \(0.782442\pi\) | |||||||
\(152\) | 130.375 | − | 225.817i | 0.857733 | − | 1.48564i | ||||
\(153\) | −142.165 | − | 88.8908i | −0.929180 | − | 0.580986i | ||||
\(154\) | −14.3336 | − | 2.91649i | −0.0930753 | − | 0.0189382i | ||||
\(155\) | −54.8490 | − | 163.904i | −0.353865 | − | 1.05745i | ||||
\(156\) | −20.8971 | + | 20.1744i | −0.133956 | + | 0.129323i | ||||
\(157\) | 112.848 | − | 65.1528i | 0.718777 | − | 0.414986i | −0.0955254 | − | 0.995427i | \(-0.530453\pi\) |
0.814302 | + | 0.580441i | \(0.197120\pi\) | |||||||
\(158\) | −29.8791 | − | 51.7522i | −0.189108 | − | 0.327545i | ||||
\(159\) | 74.4564 | + | 77.1239i | 0.468279 | + | 0.485056i | ||||
\(160\) | −19.3980 | − | 57.9666i | −0.121237 | − | 0.362292i | ||||
\(161\) | 143.858 | + | 127.280i | 0.893530 | + | 0.790559i | ||||
\(162\) | 63.6835 | + | 130.760i | 0.393108 | + | 0.807163i | ||||
\(163\) | 121.121 | + | 69.9292i | 0.743073 | + | 0.429013i | 0.823185 | − | 0.567773i | \(-0.192195\pi\) |
−0.0801127 | + | 0.996786i | \(0.525528\pi\) | |||||||
\(164\) | 11.5652 | − | 6.67717i | 0.0705195 | − | 0.0407145i | ||||
\(165\) | −14.7233 | + | 9.37765i | −0.0892321 | + | 0.0568343i | ||||
\(166\) | −64.7057 | + | 112.074i | −0.389794 | + | 0.675142i | ||||
\(167\) | −224.419 | −1.34383 | −0.671915 | − | 0.740629i | \(-0.734528\pi\) | ||||
−0.671915 | + | 0.740629i | \(0.734528\pi\) | |||||||
\(168\) | 7.82605 | + | 179.915i | 0.0465836 | + | 1.07092i | ||||
\(169\) | 13.2519 | 0.0784136 | ||||||||
\(170\) | 163.901 | + | 33.3391i | 0.964125 | + | 0.196113i | ||||
\(171\) | −9.62879 | + | 273.490i | −0.0563087 | + | 1.59936i | ||||
\(172\) | 5.28750 | − | 3.05274i | 0.0307413 | − | 0.0177485i | ||||
\(173\) | −146.827 | + | 254.312i | −0.848711 | + | 1.47001i | 0.0336474 | + | 0.999434i | \(0.489288\pi\) |
−0.882359 | + | 0.470577i | \(0.844046\pi\) | |||||||
\(174\) | 272.716 | + | 78.2422i | 1.56733 | + | 0.449668i | ||||
\(175\) | 99.1121 | − | 144.228i | 0.566355 | − | 0.824161i | ||||
\(176\) | 14.3080i | 0.0812954i | ||||||||
\(177\) | 80.6051 | − | 77.8172i | 0.455396 | − | 0.439645i | ||||
\(178\) | −74.4904 | + | 43.0071i | −0.418485 | + | 0.241613i | ||||
\(179\) | −211.424 | + | 122.066i | −1.18114 | + | 0.681933i | −0.956278 | − | 0.292458i | \(-0.905527\pi\) |
−0.224863 | + | 0.974390i | \(0.572194\pi\) | |||||||
\(180\) | 25.3183 | + | 24.0379i | 0.140657 | + | 0.133544i | ||||
\(181\) | 81.3669 | 0.449541 | 0.224771 | − | 0.974412i | \(-0.427837\pi\) | ||||
0.224771 | + | 0.974412i | \(0.427837\pi\) | |||||||
\(182\) | −103.942 | + | 117.481i | −0.571112 | + | 0.645501i | ||||
\(183\) | 42.0967 | − | 146.729i | 0.230036 | − | 0.801799i | ||||
\(184\) | 117.656 | − | 203.787i | 0.639437 | − | 1.10754i | ||||
\(185\) | −1.54466 | − | 1.36649i | −0.00834954 | − | 0.00738644i | ||||
\(186\) | 180.684 | − | 45.0222i | 0.971421 | − | 0.242055i | ||||
\(187\) | 18.7756 | + | 10.8401i | 0.100404 | + | 0.0579683i | ||||
\(188\) | −27.0122 | −0.143682 | ||||||||
\(189\) | −95.8518 | − | 162.891i | −0.507152 | − | 0.861856i | ||||
\(190\) | −86.6317 | − | 258.880i | −0.455956 | − | 1.36253i | ||||
\(191\) | 207.381 | + | 119.732i | 1.08577 | + | 0.626867i | 0.932446 | − | 0.361310i | \(-0.117670\pi\) |
0.153319 | + | 0.988177i | \(0.451004\pi\) | |||||||
\(192\) | 207.062 | − | 51.5948i | 1.07845 | − | 0.268723i | ||||
\(193\) | 1.39114 | − | 0.803175i | 0.00720798 | − | 0.00416153i | −0.496392 | − | 0.868099i | \(-0.665342\pi\) |
0.503600 | + | 0.863937i | \(0.332009\pi\) | |||||||
\(194\) | 103.796 | + | 59.9264i | 0.535029 | + | 0.308899i | ||||
\(195\) | 8.14634 | + | 187.021i | 0.0417761 | + | 0.959083i | ||||
\(196\) | −4.63145 | − | 37.7319i | −0.0236298 | − | 0.192510i | ||||
\(197\) | 286.325 | 1.45343 | 0.726713 | − | 0.686941i | \(-0.241047\pi\) | ||||
0.726713 | + | 0.686941i | \(0.241047\pi\) | |||||||
\(198\) | −8.82438 | − | 16.6077i | −0.0445676 | − | 0.0838773i | ||||
\(199\) | −44.6292 | − | 77.3000i | −0.224267 | − | 0.388442i | 0.731832 | − | 0.681485i | \(-0.238665\pi\) |
−0.956099 | + | 0.293043i | \(0.905332\pi\) | |||||||
\(200\) | −197.351 | − | 83.7515i | −0.986753 | − | 0.418757i | ||||
\(201\) | −62.2515 | + | 60.0983i | −0.309709 | + | 0.298997i | ||||
\(202\) | 40.1280i | 0.198653i | ||||||||
\(203\) | −361.281 | − | 73.5105i | −1.77971 | − | 0.362121i | ||||
\(204\) | 11.9575 | − | 41.6784i | 0.0586154 | − | 0.204306i | ||||
\(205\) | 17.1554 | − | 84.3391i | 0.0836849 | − | 0.411410i | ||||
\(206\) | −23.0712 | + | 13.3202i | −0.111996 | + | 0.0646610i | ||||
\(207\) | −8.68944 | + | 246.809i | −0.0419780 | + | 1.19232i | ||||
\(208\) | 132.882 | + | 76.7192i | 0.638853 | + | 0.368842i | ||||
\(209\) | − | 35.3854i | − | 0.169308i | ||||||
\(210\) | 146.507 | + | 118.669i | 0.697653 | + | 0.565089i | ||||
\(211\) | 174.205 | 0.825617 | 0.412808 | − | 0.910818i | \(-0.364548\pi\) | ||||
0.412808 | + | 0.910818i | \(0.364548\pi\) | |||||||
\(212\) | −13.8613 | + | 24.0085i | −0.0653835 | + | 0.113247i | ||||
\(213\) | 48.4880 | + | 194.593i | 0.227643 | + | 0.913583i | ||||
\(214\) | −30.5177 | − | 52.8582i | −0.142606 | − | 0.247001i | ||||
\(215\) | 7.84328 | − | 38.5590i | 0.0364804 | − | 0.179344i | ||||
\(216\) | −172.132 | + | 154.855i | −0.796909 | + | 0.716921i | ||||
\(217\) | −229.471 | + | 76.7750i | −1.05747 | + | 0.353802i | ||||
\(218\) | −162.737 | −0.746501 | ||||||||
\(219\) | −116.561 | + | 112.529i | −0.532242 | + | 0.513833i | ||||
\(220\) | −3.38110 | − | 2.99110i | −0.0153686 | − | 0.0135959i | ||||
\(221\) | 201.348 | − | 116.249i | 0.911078 | − | 0.526011i | ||||
\(222\) | 1.59852 | − | 1.54323i | 0.00720053 | − | 0.00695148i | ||||
\(223\) | 149.196i | 0.669041i | 0.942388 | + | 0.334521i | \(0.108574\pi\) | ||||
−0.942388 | + | 0.334521i | \(0.891426\pi\) | |||||||
\(224\) | −81.1549 | + | 27.1523i | −0.362299 | + | 0.121216i | ||||
\(225\) | 224.148 | − | 19.5641i | 0.996213 | − | 0.0869517i | ||||
\(226\) | −68.4624 | + | 118.580i | −0.302931 | + | 0.524692i | ||||
\(227\) | 46.1279 | + | 79.8959i | 0.203207 | + | 0.351964i | 0.949560 | − | 0.313586i | \(-0.101530\pi\) |
−0.746353 | + | 0.665550i | \(0.768197\pi\) | |||||||
\(228\) | −68.6703 | + | 17.1110i | −0.301186 | + | 0.0750482i | ||||
\(229\) | −74.0138 | + | 128.196i | −0.323205 | + | 0.559807i | −0.981147 | − | 0.193261i | \(-0.938094\pi\) |
0.657943 | + | 0.753068i | \(0.271427\pi\) | |||||||
\(230\) | −78.1802 | − | 233.625i | −0.339914 | − | 1.01576i | ||||
\(231\) | 13.1275 | + | 20.6134i | 0.0568290 | + | 0.0892355i | ||||
\(232\) | 451.661i | 1.94682i | ||||||||
\(233\) | 201.616 | − | 349.210i | 0.865306 | − | 1.49875i | −0.00143686 | − | 0.999999i | \(-0.500457\pi\) |
0.866743 | − | 0.498755i | \(-0.166209\pi\) | |||||||
\(234\) | −201.555 | − | 7.09619i | −0.861348 | − | 0.0303256i | ||||
\(235\) | −115.349 | + | 130.389i | −0.490848 | + | 0.554848i | ||||
\(236\) | 25.0922 | + | 14.4870i | 0.106323 | + | 0.0613855i | ||||
\(237\) | −27.5337 | + | 95.9695i | −0.116176 | + | 0.404935i | ||||
\(238\) | 46.6885 | − | 229.459i | 0.196170 | − | 0.964113i | ||||
\(239\) | 42.1167i | 0.176220i | 0.996111 | + | 0.0881102i | \(0.0280828\pi\) | ||||
−0.996111 | + | 0.0881102i | \(0.971917\pi\) | |||||||
\(240\) | 85.1736 | − | 163.576i | 0.354890 | − | 0.681567i | ||||
\(241\) | −133.166 | − | 230.650i | −0.552554 | − | 0.957052i | −0.998089 | − | 0.0617877i | \(-0.980320\pi\) |
0.445535 | − | 0.895265i | \(-0.353014\pi\) | |||||||
\(242\) | −107.418 | − | 186.053i | −0.443876 | − | 0.768815i | ||||
\(243\) | 83.2741 | − | 228.286i | 0.342692 | − | 0.939448i | ||||
\(244\) | 39.4759 | 0.161786 | ||||||||
\(245\) | −201.911 | − | 138.769i | −0.824128 | − | 0.566404i | ||||
\(246\) | 89.1286 | + | 25.5710i | 0.362312 | + | 0.103947i | ||||
\(247\) | −328.632 | − | 189.736i | −1.33049 | − | 0.768161i | ||||
\(248\) | 148.217 | + | 256.719i | 0.597648 | + | 1.03516i | ||||
\(249\) | 209.799 | − | 52.2770i | 0.842567 | − | 0.209948i | ||||
\(250\) | −202.574 | + | 96.6529i | −0.810294 | + | 0.386612i | ||||
\(251\) | − | 426.902i | − | 1.70081i | −0.526133 | − | 0.850403i | \(-0.676358\pi\) | ||
0.526133 | − | 0.850403i | \(-0.323642\pi\) | |||||||
\(252\) | 33.6552 | − | 35.4435i | 0.133552 | − | 0.140649i | ||||
\(253\) | − | 31.9333i | − | 0.126219i | ||||||
\(254\) | −0.892041 | − | 0.515020i | −0.00351197 | − | 0.00202764i | ||||
\(255\) | −150.122 | − | 235.697i | −0.588713 | − | 0.924304i | ||||
\(256\) | 71.4957 | + | 123.834i | 0.279280 | + | 0.483727i | ||||
\(257\) | 8.35527 | − | 14.4718i | 0.0325108 | − | 0.0563103i | −0.849312 | − | 0.527891i | \(-0.822983\pi\) |
0.881823 | + | 0.471581i | \(0.156316\pi\) | |||||||
\(258\) | 40.7487 | + | 11.6908i | 0.157941 | + | 0.0453132i | ||||
\(259\) | −1.91322 | + | 2.16242i | −0.00738694 | + | 0.00834910i | ||||
\(260\) | −45.9084 | + | 15.3628i | −0.176571 | + | 0.0590877i | ||||
\(261\) | −222.420 | − | 418.600i | −0.852183 | − | 1.60383i | ||||
\(262\) | 358.545 | − | 207.006i | 1.36849 | − | 0.790099i | ||||
\(263\) | −0.756335 | − | 1.31001i | −0.00287580 | − | 0.00498103i | 0.864584 | − | 0.502488i | \(-0.167582\pi\) |
−0.867460 | + | 0.497507i | \(0.834249\pi\) | |||||||
\(264\) | 21.5392 | − | 20.7942i | 0.0815878 | − | 0.0787659i | ||||
\(265\) | 56.6986 | + | 169.432i | 0.213957 | + | 0.639364i | ||||
\(266\) | −362.439 | + | 121.263i | −1.36255 | + | 0.455875i | ||||
\(267\) | 138.135 | + | 39.6311i | 0.517361 | + | 0.148431i | ||||
\(268\) | −19.3787 | − | 11.1883i | −0.0723087 | − | 0.0417474i | ||||
\(269\) | −10.5890 | + | 6.11353i | −0.0393641 | + | 0.0227269i | −0.519553 | − | 0.854438i | \(-0.673901\pi\) |
0.480189 | + | 0.877165i | \(0.340568\pi\) | |||||||
\(270\) | 2.02122 | + | 242.398i | 0.00748599 | + | 0.897769i | ||||
\(271\) | −117.307 | + | 203.182i | −0.432868 | + | 0.749749i | −0.997119 | − | 0.0758540i | \(-0.975832\pi\) |
0.564251 | + | 0.825603i | \(0.309165\pi\) | |||||||
\(272\) | −229.049 | −0.842092 | ||||||||
\(273\) | 261.830 | − | 11.3893i | 0.959086 | − | 0.0417190i | ||||
\(274\) | 50.0935 | 0.182823 | ||||||||
\(275\) | −28.8764 | + | 3.54795i | −0.105005 | + | 0.0129016i | ||||
\(276\) | −61.9711 | + | 15.4417i | −0.224533 | + | 0.0559482i | ||||
\(277\) | 427.929 | − | 247.065i | 1.54487 | − | 0.891930i | 0.546348 | − | 0.837558i | \(-0.316018\pi\) |
0.998521 | − | 0.0543719i | \(-0.0173156\pi\) | |||||||
\(278\) | 117.143 | − | 202.898i | 0.421379 | − | 0.729850i | ||||
\(279\) | −263.788 | − | 164.938i | −0.945477 | − | 0.591175i | ||||
\(280\) | −117.269 | + | 276.284i | −0.418816 | + | 0.986728i | ||||
\(281\) | 67.0586i | 0.238643i | 0.992856 | + | 0.119321i | \(0.0380719\pi\) | ||||
−0.992856 | + | 0.119321i | \(0.961928\pi\) | |||||||
\(282\) | −130.268 | − | 134.935i | −0.461944 | − | 0.478494i | ||||
\(283\) | 118.530 | − | 68.4334i | 0.418834 | − | 0.241814i | −0.275744 | − | 0.961231i | \(-0.588924\pi\) |
0.694579 | + | 0.719417i | \(0.255591\pi\) | |||||||
\(284\) | −44.9136 | + | 25.9309i | −0.158146 | + | 0.0913058i | ||||
\(285\) | −210.645 | + | 404.543i | −0.739104 | + | 1.41945i | ||||
\(286\) | 26.0782 | 0.0911825 | ||||||||
\(287\) | −118.073 | − | 24.0246i | −0.411405 | − | 0.0837094i | ||||
\(288\) | −93.2917 | − | 58.3322i | −0.323929 | − | 0.202542i | ||||
\(289\) | −29.0330 | + | 50.2867i | −0.100460 | + | 0.174002i | ||||
\(290\) | 354.166 | + | 313.314i | 1.22126 | + | 1.08039i | ||||
\(291\) | −48.4156 | − | 194.303i | −0.166377 | − | 0.667707i | ||||
\(292\) | −36.2851 | − | 20.9492i | −0.124264 | − | 0.0717439i | ||||
\(293\) | 98.9599 | 0.337747 | 0.168874 | − | 0.985638i | \(-0.445987\pi\) | ||||
0.168874 | + | 0.985638i | \(0.445987\pi\) | |||||||
\(294\) | 166.148 | − | 205.100i | 0.565130 | − | 0.697620i | ||||
\(295\) | 177.079 | − | 59.2579i | 0.600269 | − | 0.200874i | ||||
\(296\) | 3.06324 | + | 1.76856i | 0.0103488 | + | 0.00597487i | ||||
\(297\) | −9.72244 | + | 29.8790i | −0.0327355 | + | 0.100603i | ||||
\(298\) | −246.947 | + | 142.575i | −0.828681 | + | 0.478439i | ||||
\(299\) | −296.572 | − | 171.226i | −0.991879 | − | 0.572662i | ||||
\(300\) | 20.8488 | + | 54.3230i | 0.0694959 | + | 0.181077i | ||||
\(301\) | −53.9819 | − | 10.9838i | −0.179342 | − | 0.0364911i | ||||
\(302\) | −86.3287 | −0.285857 | ||||||||
\(303\) | 48.2339 | − | 46.5657i | 0.159188 | − | 0.153682i | ||||
\(304\) | 186.922 | + | 323.759i | 0.614875 | + | 1.06500i | ||||
\(305\) | 168.572 | − | 190.552i | 0.552696 | − | 0.624761i | ||||
\(306\) | 265.864 | − | 141.265i | 0.868836 | − | 0.461650i | ||||
\(307\) | − | 441.330i | − | 1.43756i | −0.695239 | − | 0.718778i | \(-0.744702\pi\) | ||
0.695239 | − | 0.718778i | \(-0.255298\pi\) | |||||||
\(308\) | −4.18782 | + | 4.73329i | −0.0135968 | + | 0.0153678i | ||||
\(309\) | 42.7834 | + | 12.2746i | 0.138458 | + | 0.0397235i | ||||
\(310\) | 304.120 | + | 61.8612i | 0.981034 | + | 0.199552i | ||||
\(311\) | −19.4380 | + | 11.2225i | −0.0625015 | + | 0.0360853i | −0.530925 | − | 0.847419i | \(-0.678155\pi\) |
0.468424 | + | 0.883504i | \(0.344822\pi\) | |||||||
\(312\) | −77.6276 | − | 311.537i | −0.248806 | − | 0.998516i | ||||
\(313\) | −217.506 | − | 125.577i | −0.694908 | − | 0.401206i | 0.110540 | − | 0.993872i | \(-0.464742\pi\) |
−0.805448 | + | 0.592666i | \(0.798075\pi\) | |||||||
\(314\) | 233.977i | 0.745149i | ||||||||
\(315\) | −27.3711 | − | 313.809i | −0.0868924 | − | 0.996218i | ||||
\(316\) | −25.8195 | −0.0817074 | ||||||||
\(317\) | −17.4496 | + | 30.2237i | −0.0550462 | + | 0.0953428i | −0.892235 | − | 0.451570i | \(-0.850864\pi\) |
0.837189 | + | 0.546913i | \(0.184197\pi\) | |||||||
\(318\) | −186.777 | + | 46.5405i | −0.587350 | + | 0.146354i | ||||
\(319\) | 30.6466 | + | 53.0814i | 0.0960707 | + | 0.166399i | ||||
\(320\) | 348.518 | + | 70.8920i | 1.08912 | + | 0.221538i | ||||
\(321\) | −28.1221 | + | 98.0206i | −0.0876079 | + | 0.305360i | ||||
\(322\) | −327.081 | + | 109.433i | −1.01578 | + | 0.339854i | ||||
\(323\) | 566.466 | 1.75377 | ||||||||
\(324\) | 62.6857 | + | 4.41944i | 0.193474 | + | 0.0136403i | ||||
\(325\) | −121.884 | + | 287.205i | −0.375027 | + | 0.883709i | ||||
\(326\) | −217.485 | + | 125.565i | −0.667131 | + | 0.385168i | ||||
\(327\) | 188.845 | + | 195.611i | 0.577508 | + | 0.598198i | ||||
\(328\) | 147.611i | 0.450035i | ||||||||
\(329\) | 182.535 | + | 161.500i | 0.554819 | + | 0.490881i | ||||
\(330\) | −1.36401 | − | 31.3145i | −0.00413336 | − | 0.0948925i | ||||
\(331\) | 136.010 | − | 235.577i | 0.410908 | − | 0.711713i | −0.584082 | − | 0.811695i | \(-0.698545\pi\) |
0.994989 | + | 0.0999821i | \(0.0318786\pi\) | |||||||
\(332\) | 27.9572 | + | 48.4232i | 0.0842083 | + | 0.145853i | ||||
\(333\) | −3.70993 | − | 0.130616i | −0.0111409 | − | 0.000392240i | ||||
\(334\) | 201.484 | − | 348.980i | 0.603245 | − | 1.04485i | ||||
\(335\) | −136.759 | + | 45.7650i | −0.408235 | + | 0.136612i | ||||
\(336\) | −228.999 | − | 119.257i | −0.681546 | − | 0.354930i | ||||
\(337\) | 600.523i | 1.78197i | 0.454036 | + | 0.890983i | \(0.349984\pi\) | ||||
−0.454036 | + | 0.890983i | \(0.650016\pi\) | |||||||
\(338\) | −11.8976 | + | 20.6072i | −0.0351999 | + | 0.0609680i | ||||
\(339\) | 221.980 | − | 55.3121i | 0.654808 | − | 0.163162i | ||||
\(340\) | 47.8829 | − | 54.1263i | 0.140832 | − | 0.159195i | ||||
\(341\) | 34.8383 | + | 20.1139i | 0.102165 | + | 0.0589850i | ||||
\(342\) | −416.642 | − | 260.513i | −1.21825 | − | 0.761733i | ||||
\(343\) | −194.293 | + | 282.664i | −0.566453 | + | 0.824094i | ||||
\(344\) | 67.4865i | 0.196182i | ||||||||
\(345\) | −190.095 | + | 365.077i | −0.551000 | + | 1.05820i | ||||
\(346\) | −263.643 | − | 456.643i | −0.761973 | − | 1.31978i | ||||
\(347\) | 77.0212 | + | 133.405i | 0.221963 | + | 0.384451i | 0.955404 | − | 0.295302i | \(-0.0954202\pi\) |
−0.733441 | + | 0.679753i | \(0.762087\pi\) | |||||||
\(348\) | 88.1924 | − | 85.1420i | 0.253426 | − | 0.244661i | ||||
\(349\) | −20.2324 | −0.0579726 | −0.0289863 | − | 0.999580i | \(-0.509228\pi\) | ||||
−0.0289863 | + | 0.999580i | \(0.509228\pi\) | |||||||
\(350\) | 135.297 | + | 283.611i | 0.386563 | + | 0.810317i | ||||
\(351\) | 225.361 | + | 250.505i | 0.642055 | + | 0.713689i | ||||
\(352\) | 12.3210 | + | 7.11351i | 0.0350027 | + | 0.0202088i | ||||
\(353\) | −162.715 | − | 281.830i | −0.460948 | − | 0.798386i | 0.538060 | − | 0.842907i | \(-0.319157\pi\) |
−0.999008 | + | 0.0445203i | \(0.985824\pi\) | |||||||
\(354\) | 48.6412 | + | 195.208i | 0.137405 | + | 0.551436i | ||||
\(355\) | −66.6232 | + | 327.531i | −0.187671 | + | 0.922624i | ||||
\(356\) | 37.1638i | 0.104393i | ||||||||
\(357\) | −329.989 | + | 210.151i | −0.924339 | + | 0.588658i | ||||
\(358\) | − | 438.363i | − | 1.22448i | ||||||
\(359\) | 499.939 | + | 288.640i | 1.39259 | + | 0.804011i | 0.993601 | − | 0.112945i | \(-0.0360285\pi\) |
0.398987 | + | 0.916957i | \(0.369362\pi\) | |||||||
\(360\) | −370.031 | + | 109.510i | −1.02787 | + | 0.304193i | ||||
\(361\) | −281.781 | − | 488.059i | −0.780556 | − | 1.35196i | ||||
\(362\) | −73.0513 | + | 126.528i | −0.201799 | + | 0.349526i | ||||
\(363\) | −98.9858 | + | 345.018i | −0.272688 | + | 0.950464i | ||||
\(364\) | 21.5041 | + | 64.2730i | 0.0590772 | + | 0.176574i | ||||
\(365\) | −256.070 | + | 85.6913i | −0.701561 | + | 0.234771i | ||||
\(366\) | 190.375 | + | 197.195i | 0.520150 | + | 0.538785i | ||||
\(367\) | 435.739 | − | 251.574i | 1.18730 | − | 0.685487i | 0.229607 | − | 0.973283i | \(-0.426256\pi\) |
0.957692 | + | 0.287796i | \(0.0929226\pi\) | |||||||
\(368\) | 168.687 | + | 292.174i | 0.458388 | + | 0.793950i | ||||
\(369\) | −72.6910 | − | 136.806i | −0.196995 | − | 0.370749i | ||||
\(370\) | 3.51174 | − | 1.17517i | 0.00949120 | − | 0.00317614i | ||||
\(371\) | 237.209 | − | 79.3640i | 0.639377 | − | 0.213919i | ||||
\(372\) | 22.1874 | − | 77.3348i | 0.0596434 | − | 0.207889i | ||||
\(373\) | −185.731 | − | 107.232i | −0.497938 | − | 0.287484i | 0.229924 | − | 0.973209i | \(-0.426152\pi\) |
−0.727861 | + | 0.685724i | \(0.759486\pi\) | |||||||
\(374\) | −33.7134 | + | 19.4644i | −0.0901428 | + | 0.0520440i | ||||
\(375\) | 351.249 | + | 131.335i | 0.936665 | + | 0.350227i | ||||
\(376\) | 149.289 | − | 258.576i | 0.397045 | − | 0.687703i | ||||
\(377\) | 657.305 | 1.74351 | ||||||||
\(378\) | 339.357 | − | 2.80951i | 0.897770 | − | 0.00743255i | ||||
\(379\) | −505.361 | −1.33341 | −0.666704 | − | 0.745323i | \(-0.732295\pi\) | ||||
−0.666704 | + | 0.745323i | \(0.732295\pi\) | |||||||
\(380\) | −115.583 | − | 23.5108i | −0.304166 | − | 0.0618704i | ||||
\(381\) | 0.416094 | + | 1.66988i | 0.00109211 | + | 0.00438289i | ||||
\(382\) | −372.374 | + | 214.990i | −0.974800 | + | 0.562801i | ||||
\(383\) | −202.429 | + | 350.617i | −0.528535 | + | 0.915449i | 0.470912 | + | 0.882180i | \(0.343925\pi\) |
−0.999446 | + | 0.0332689i | \(0.989408\pi\) | |||||||
\(384\) | −65.2112 | + | 227.296i | −0.169821 | + | 0.591917i | ||||
\(385\) | 4.96473 | + | 40.4272i | 0.0128954 | + | 0.105006i | ||||
\(386\) | 2.88436i | 0.00747244i | ||||||||
\(387\) | −33.2336 | − | 62.5465i | −0.0858749 | − | 0.161619i | ||||
\(388\) | 44.8466 | − | 25.8922i | 0.115584 | − | 0.0667324i | ||||
\(389\) | −168.810 | + | 97.4627i | −0.433960 | + | 0.250547i | −0.701032 | − | 0.713130i | \(-0.747277\pi\) |
0.267072 | + | 0.963676i | \(0.413944\pi\) | |||||||
\(390\) | −298.139 | − | 155.240i | −0.764458 | − | 0.398051i | ||||
\(391\) | 511.204 | 1.30743 | ||||||||
\(392\) | 386.788 | + | 164.199i | 0.986703 | + | 0.418875i | ||||
\(393\) | −664.888 | − | 190.756i | −1.69183 | − | 0.485385i | ||||
\(394\) | −257.063 | + | 445.245i | −0.652443 | + | 1.13006i | ||||
\(395\) | −110.256 | + | 124.632i | −0.279129 | + | 0.315524i | ||||
\(396\) | −8.12063 | − | 0.285904i | −0.0205067 | − | 0.000721980i | ||||
\(397\) | 500.171 | + | 288.774i | 1.25988 | + | 0.727390i | 0.973050 | − | 0.230593i | \(-0.0740666\pi\) |
0.286826 | + | 0.957983i | \(0.407400\pi\) | |||||||
\(398\) | 160.272 | 0.402694 | ||||||||
\(399\) | 566.343 | + | 294.936i | 1.41941 | + | 0.739188i | ||||
\(400\) | 245.462 | − | 185.000i | 0.613656 | − | 0.462501i | ||||
\(401\) | −199.268 | − | 115.047i | −0.496927 | − | 0.286901i | 0.230517 | − | 0.973068i | \(-0.425958\pi\) |
−0.727443 | + | 0.686168i | \(0.759292\pi\) | |||||||
\(402\) | −37.5657 | − | 150.760i | −0.0934470 | − | 0.375024i | ||||
\(403\) | 373.604 | − | 215.700i | 0.927057 | − | 0.535237i | ||||
\(404\) | 15.0151 | + | 8.66897i | 0.0371661 | + | 0.0214579i | ||||
\(405\) | 289.017 | − | 283.715i | 0.713623 | − | 0.700530i | ||||
\(406\) | 438.669 | − | 495.806i | 1.08047 | − | 1.22120i | ||||
\(407\) | 0.480008 | 0.00117938 | ||||||||
\(408\) | 332.883 | + | 344.809i | 0.815890 | + | 0.845121i | ||||
\(409\) | 290.480 | + | 503.125i | 0.710219 | + | 1.23014i | 0.964775 | + | 0.263077i | \(0.0847375\pi\) |
−0.254556 | + | 0.967058i | \(0.581929\pi\) | |||||||
\(410\) | 115.748 | + | 102.397i | 0.282313 | + | 0.249749i | ||||
\(411\) | −58.1300 | − | 60.2126i | −0.141435 | − | 0.146503i | ||||
\(412\) | 11.5104i | 0.0279378i | ||||||||
\(413\) | −82.9464 | − | 247.916i | −0.200839 | − | 0.600281i | ||||
\(414\) | −375.996 | − | 235.098i | −0.908203 | − | 0.567869i | ||||
\(415\) | 353.126 | + | 71.8293i | 0.850905 | + | 0.173083i | ||||
\(416\) | 132.129 | − | 76.2850i | 0.317619 | − | 0.183377i | ||||
\(417\) | −379.821 | + | 94.6424i | −0.910842 | + | 0.226960i | ||||
\(418\) | 55.0256 | + | 31.7690i | 0.131640 | + | 0.0760025i | ||||
\(419\) | − | 220.813i | − | 0.527000i | −0.964659 | − | 0.263500i | \(-0.915123\pi\) | ||
0.964659 | − | 0.263500i | \(-0.0848769\pi\) | |||||||
\(420\) | 76.0539 | − | 29.1838i | 0.181081 | − | 0.0694851i | ||||
\(421\) | −747.852 | −1.77637 | −0.888185 | − | 0.459486i | \(-0.848033\pi\) | ||||
−0.888185 | + | 0.459486i | \(0.848033\pi\) | |||||||
\(422\) | −156.401 | + | 270.895i | −0.370620 | + | 0.641932i | ||||
\(423\) | −11.0257 | + | 313.166i | −0.0260654 | + | 0.740344i | ||||
\(424\) | −153.215 | − | 265.376i | −0.361356 | − | 0.625887i | ||||
\(425\) | −56.7973 | − | 462.267i | −0.133641 | − | 1.08769i | ||||
\(426\) | −346.132 | − | 99.3053i | −0.812516 | − | 0.233111i | ||||
\(427\) | −266.759 | − | 236.017i | −0.624728 | − | 0.552734i | ||||
\(428\) | −26.3714 | −0.0616153 | ||||||||
\(429\) | −30.2619 | − | 31.3461i | −0.0705405 | − | 0.0730677i | ||||
\(430\) | 52.9189 | + | 46.8149i | 0.123067 | + | 0.108872i | ||||
\(431\) | −310.115 | + | 179.045i | −0.719523 | + | 0.415417i | −0.814577 | − | 0.580055i | \(-0.803031\pi\) |
0.0950539 | + | 0.995472i | \(0.469698\pi\) | |||||||
\(432\) | −68.8792 | − | 324.736i | −0.159443 | − | 0.751703i | ||||
\(433\) | − | 622.750i | − | 1.43822i | −0.694896 | − | 0.719110i | \(-0.744550\pi\) | ||
0.694896 | − | 0.719110i | \(-0.255450\pi\) | |||||||
\(434\) | 86.6310 | − | 425.764i | 0.199611 | − | 0.981022i | ||||
\(435\) | −34.3800 | − | 789.287i | −0.0790346 | − | 1.81445i | ||||
\(436\) | −35.1566 | + | 60.8931i | −0.0806345 | + | 0.139663i | ||||
\(437\) | −417.182 | − | 722.581i | −0.954651 | − | 1.65350i | ||||
\(438\) | −70.3388 | − | 282.285i | −0.160591 | − | 0.644487i | ||||
\(439\) | 194.411 | − | 336.729i | 0.442849 | − | 0.767036i | −0.555051 | − | 0.831816i | \(-0.687301\pi\) |
0.997900 | + | 0.0647799i | \(0.0206345\pi\) | |||||||
\(440\) | 47.3189 | − | 15.8348i | 0.107543 | − | 0.0359882i | ||||
\(441\) | −439.334 | + | 38.2934i | −0.996223 | + | 0.0868331i | ||||
\(442\) | 417.472i | 0.944506i | ||||||||
\(443\) | −192.113 | + | 332.750i | −0.433664 | + | 0.751128i | −0.997186 | − | 0.0749733i | \(-0.976113\pi\) |
0.563522 | + | 0.826101i | \(0.309446\pi\) | |||||||
\(444\) | −0.232113 | − | 0.931523i | −0.000522778 | − | 0.00209802i | ||||
\(445\) | 179.391 | + | 158.699i | 0.403127 | + | 0.356627i | ||||
\(446\) | −232.005 | − | 133.948i | −0.520191 | − | 0.300333i | ||||
\(447\) | 457.940 | + | 131.383i | 1.02447 | + | 0.293922i | ||||
\(448\) | 99.2779 | − | 487.919i | 0.221602 | − | 1.08911i | ||||
\(449\) | − | 33.9684i | − | 0.0756535i | −0.999284 | − | 0.0378267i | \(-0.987957\pi\) | ||
0.999284 | − | 0.0378267i | \(-0.0120435\pi\) | |||||||
\(450\) | −170.817 | + | 366.123i | −0.379593 | + | 0.813606i | ||||
\(451\) | 10.0159 | + | 17.3480i | 0.0222081 | + | 0.0384656i | ||||
\(452\) | 29.5803 | + | 51.2346i | 0.0654432 | + | 0.113351i | ||||
\(453\) | 100.178 | + | 103.767i | 0.221144 | + | 0.229067i | ||||
\(454\) | −165.655 | −0.364878 | ||||||||
\(455\) | 402.077 | + | 170.661i | 0.883686 | + | 0.375080i | ||||
\(456\) | 215.725 | − | 751.918i | 0.473082 | − | 1.64894i | ||||
\(457\) | −432.197 | − | 249.529i | −0.945726 | − | 0.546015i | −0.0539752 | − | 0.998542i | \(-0.517189\pi\) |
−0.891751 | + | 0.452527i | \(0.850523\pi\) | |||||||
\(458\) | −132.899 | − | 230.188i | −0.290173 | − | 0.502595i | ||||
\(459\) | −478.317 | − | 155.641i | −1.04208 | − | 0.339088i | ||||
\(460\) | −104.307 | − | 21.2171i | −0.226755 | − | 0.0461242i | ||||
\(461\) | 816.492i | 1.77113i | 0.464513 | + | 0.885566i | \(0.346229\pi\) | ||||
−0.464513 | + | 0.885566i | \(0.653771\pi\) | |||||||
\(462\) | −43.8404 | + | 1.90700i | −0.0948927 | + | 0.00412771i | ||||
\(463\) | 353.851i | 0.764258i | 0.924109 | + | 0.382129i | \(0.124809\pi\) | ||||
−0.924109 | + | 0.382129i | \(0.875191\pi\) | |||||||
\(464\) | −560.801 | − | 323.779i | −1.20862 | − | 0.697799i | ||||
\(465\) | −278.553 | − | 437.339i | −0.599038 | − | 0.940514i | ||||
\(466\) | 362.022 | + | 627.041i | 0.776872 | + | 1.34558i | ||||
\(467\) | 127.057 | − | 220.068i | 0.272070 | − | 0.471238i | −0.697322 | − | 0.716758i | \(-0.745625\pi\) |
0.969392 | + | 0.245520i | \(0.0789586\pi\) | |||||||
\(468\) | −46.1979 | + | 73.8851i | −0.0987135 | + | 0.157874i | ||||
\(469\) | 64.0596 | + | 191.466i | 0.136588 | + | 0.408243i | ||||
\(470\) | −99.1994 | − | 296.436i | −0.211063 | − | 0.630715i | ||||
\(471\) | 281.241 | − | 271.513i | 0.597114 | − | 0.576462i | ||||
\(472\) | −277.355 | + | 160.131i | −0.587616 | + | 0.339260i | ||||
\(473\) | 4.57916 | + | 7.93133i | 0.00968109 | + | 0.0167681i | ||||
\(474\) | −124.516 | − | 128.977i | −0.262693 | − | 0.272104i | ||||
\(475\) | −607.058 | + | 457.528i | −1.27802 | + | 0.963217i | ||||
\(476\) | −75.7728 | − | 67.0406i | −0.159186 | − | 0.140842i | ||||
\(477\) | 272.684 | + | 170.500i | 0.571664 | + | 0.357442i | ||||
\(478\) | −65.4930 | − | 37.8124i | −0.137015 | − | 0.0791054i | ||||
\(479\) | 220.662 | − | 127.400i | 0.460673 | − | 0.265970i | −0.251654 | − | 0.967817i | \(-0.580975\pi\) |
0.712327 | + | 0.701847i | \(0.247641\pi\) | |||||||
\(480\) | −98.5134 | − | 154.670i | −0.205236 | − | 0.322229i | ||||
\(481\) | 2.57379 | − | 4.45794i | 0.00535092 | − | 0.00926807i | ||||
\(482\) | 478.224 | 0.992167 | ||||||||
\(483\) | 511.093 | + | 266.163i | 1.05816 | + | 0.551062i | ||||
\(484\) | −92.8234 | −0.191784 | ||||||||
\(485\) | 66.5238 | − | 327.043i | 0.137162 | − | 0.674315i | ||||
\(486\) | 280.229 | + | 334.449i | 0.576603 | + | 0.688167i | ||||
\(487\) | 144.819 | − | 83.6115i | 0.297370 | − | 0.171687i | −0.343891 | − | 0.939010i | \(-0.611745\pi\) |
0.641261 | + | 0.767323i | \(0.278412\pi\) | |||||||
\(488\) | −218.172 | + | 377.885i | −0.447074 | + | 0.774355i | ||||
\(489\) | 403.305 | + | 115.708i | 0.824754 | + | 0.236622i | ||||
\(490\) | 397.067 | − | 189.392i | 0.810340 | − | 0.386515i | ||||
\(491\) | − | 663.001i | − | 1.35031i | −0.737677 | − | 0.675154i | \(-0.764077\pi\) | ||
0.737677 | − | 0.675154i | \(-0.235923\pi\) | |||||||
\(492\) | 28.8229 | − | 27.8260i | 0.0585832 | − | 0.0565569i | ||||
\(493\) | −849.752 | + | 490.605i | −1.72363 | + | 0.995141i | ||||
\(494\) | 590.092 | − | 340.690i | 1.19452 | − | 0.689655i | ||||
\(495\) | −36.0573 | + | 37.9778i | −0.0728430 | + | 0.0767228i | ||||
\(496\) | −425.003 | −0.856861 | ||||||||
\(497\) | 458.539 | + | 93.2998i | 0.922613 | + | 0.187726i | ||||
\(498\) | −107.065 | + | 373.180i | −0.214991 | + | 0.749357i | ||||
\(499\) | 213.627 | − | 370.012i | 0.428109 | − | 0.741507i | −0.568596 | − | 0.822617i | \(-0.692513\pi\) |
0.996705 | + | 0.0811099i | \(0.0258465\pi\) | |||||||
\(500\) | −7.59698 | + | 96.6793i | −0.0151940 | + | 0.193359i | ||||
\(501\) | −653.283 | + | 162.783i | −1.30396 | + | 0.324915i | ||||
\(502\) | 663.848 | + | 383.273i | 1.32241 | + | 0.763492i | ||||
\(503\) | −503.059 | −1.00012 | −0.500059 | − | 0.865991i | \(-0.666688\pi\) | ||||
−0.500059 | + | 0.865991i | \(0.666688\pi\) | |||||||
\(504\) | 153.283 | + | 518.053i | 0.304132 | + | 1.02788i | ||||
\(505\) | 105.964 | − | 35.4598i | 0.209830 | − | 0.0702175i | ||||
\(506\) | 49.6575 | + | 28.6698i | 0.0981373 | + | 0.0566596i | ||||
\(507\) | 38.5762 | − | 9.61226i | 0.0760871 | − | 0.0189591i | ||||
\(508\) | −0.385421 | + | 0.222523i | −0.000758702 | + | 0.000438037i | ||||
\(509\) | −481.244 | − | 277.846i | −0.945469 | − | 0.545867i | −0.0537984 | − | 0.998552i | \(-0.517133\pi\) |
−0.891670 | + | 0.452685i | \(0.850466\pi\) | |||||||
\(510\) | 501.297 | − | 21.8357i | 0.982936 | − | 0.0428151i | ||||
\(511\) | 119.947 | + | 358.505i | 0.234729 | + | 0.701575i | ||||
\(512\) | −572.043 | −1.11727 | ||||||||
\(513\) | 170.347 | + | 803.111i | 0.332059 | + | 1.56552i | ||||
\(514\) | 15.0027 | + | 25.9855i | 0.0291882 | + | 0.0505554i | ||||
\(515\) | 55.5612 | + | 49.1524i | 0.107886 | + | 0.0954415i | ||||
\(516\) | 13.1776 | − | 12.7218i | 0.0255379 | − | 0.0246546i | ||||
\(517\) | − | 40.5188i | − | 0.0783729i | ||||||
\(518\) | −1.64495 | − | 4.91654i | −0.00317557 | − | 0.00949139i | ||||
\(519\) | −242.947 | + | 846.801i | −0.468106 | + | 1.63160i | ||||
\(520\) | 106.661 | − | 524.367i | 0.205118 | − | 1.00840i | ||||
\(521\) | −209.107 | + | 120.728i | −0.401358 | + | 0.231724i | −0.687070 | − | 0.726591i | \(-0.741103\pi\) |
0.285712 | + | 0.958316i | \(0.407770\pi\) | |||||||
\(522\) | 850.626 | + | 29.9481i | 1.62955 | + | 0.0573718i | ||||
\(523\) | −683.792 | − | 394.788i | −1.30744 | − | 0.754852i | −0.325773 | − | 0.945448i | \(-0.605625\pi\) |
−0.981669 | + | 0.190596i | \(0.938958\pi\) | |||||||
\(524\) | − | 178.881i | − | 0.341375i | ||||||
\(525\) | 183.899 | − | 491.738i | 0.350283 | − | 0.936644i | ||||
\(526\) | 2.71615 | 0.00516379 | ||||||||
\(527\) | −321.992 | + | 557.707i | −0.610991 | + | 1.05827i | ||||
\(528\) | 10.3783 | + | 41.6505i | 0.0196559 | + | 0.0788834i | ||||
\(529\) | −111.984 | − | 193.961i | −0.211689 | − | 0.366656i | ||||
\(530\) | −314.376 | − | 63.9473i | −0.593163 | − | 0.120655i | ||||
\(531\) | 178.196 | − | 284.992i | 0.335586 | − | 0.536708i | ||||
\(532\) | −32.9247 | + | 161.814i | −0.0618885 | + | 0.304162i | ||||
\(533\) | 214.820 | 0.403039 | ||||||||
\(534\) | −185.646 | + | 179.225i | −0.347651 | + | 0.335627i | ||||
\(535\) | −112.613 | + | 127.296i | −0.210491 | + | 0.237936i | ||||
\(536\) | 214.202 | − | 123.669i | 0.399630 | − | 0.230726i | ||||
\(537\) | −526.914 | + | 508.689i | −0.981218 | + | 0.947280i | ||||
\(538\) | − | 21.9549i | − | 0.0408084i | ||||||
\(539\) | 56.5985 | − | 6.94725i | 0.105007 | − | 0.0128891i | ||||
\(540\) | 91.1371 | + | 51.6096i | 0.168772 | + | 0.0955734i | ||||
\(541\) | −394.171 | + | 682.723i | −0.728596 | + | 1.26197i | 0.228880 | + | 0.973455i | \(0.426494\pi\) |
−0.957477 | + | 0.288511i | \(0.906840\pi\) | |||||||
\(542\) | −210.637 | − | 364.834i | −0.388629 | − | 0.673125i | ||||
\(543\) | 236.858 | − | 59.0195i | 0.436203 | − | 0.108691i | ||||
\(544\) | −113.876 | + | 197.240i | −0.209332 | + | 0.362573i | ||||
\(545\) | 143.806 | + | 429.732i | 0.263864 | + | 0.788499i | ||||
\(546\) | −217.361 | + | 417.381i | −0.398097 | + | 0.764434i | ||||
\(547\) | 2.30392i | 0.00421191i | 0.999998 | + | 0.00210596i | \(0.000670347\pi\) | ||||
−0.999998 | + | 0.00210596i | \(0.999330\pi\) | |||||||
\(548\) | 10.8219 | − | 18.7440i | 0.0197479 | − | 0.0342044i | ||||
\(549\) | 16.1130 | − | 457.662i | 0.0293497 | − | 0.833629i | ||||
\(550\) | 20.4080 | − | 48.0891i | 0.0371055 | − | 0.0874348i | ||||
\(551\) | 1386.93 | + | 800.744i | 2.51711 | + | 1.45326i | ||||
\(552\) | 194.680 | − | 678.564i | 0.352681 | − | 1.22928i | ||||
\(553\) | 174.476 | + | 154.369i | 0.315508 | + | 0.279148i | ||||
\(554\) | 887.259i | 1.60155i | ||||||||
\(555\) | −5.48769 | − | 2.85742i | −0.00988773 | − | 0.00514851i | ||||
\(556\) | −50.6137 | − | 87.6656i | −0.0910319 | − | 0.157672i | ||||
\(557\) | −178.710 | − | 309.535i | −0.320844 | − | 0.555718i | 0.659819 | − | 0.751425i | \(-0.270633\pi\) |
−0.980662 | + | 0.195707i | \(0.937300\pi\) | |||||||
\(558\) | 493.313 | − | 262.118i | 0.884074 | − | 0.469746i | ||||
\(559\) | 98.2134 | 0.175695 | ||||||||
\(560\) | −258.980 | − | 343.663i | −0.462464 | − | 0.613683i | ||||
\(561\) | 62.5183 | + | 17.9365i | 0.111441 | + | 0.0319724i | ||||
\(562\) | −104.279 | − | 60.2052i | −0.185549 | − | 0.107127i | ||||
\(563\) | −331.223 | − | 573.695i | −0.588318 | − | 1.01900i | −0.994453 | − | 0.105183i | \(-0.966457\pi\) |
0.406135 | − | 0.913813i | \(-0.366876\pi\) | |||||||
\(564\) | −78.6324 | + | 19.5933i | −0.139419 | + | 0.0347399i | ||||
\(565\) | 373.628 | + | 75.9996i | 0.661288 | + | 0.134513i | ||||
\(566\) | 245.758i | 0.434202i | ||||||||
\(567\) | −397.177 | − | 404.648i | −0.700488 | − | 0.713665i | ||||
\(568\) | − | 573.250i | − | 1.00924i | ||||||
\(569\) | −286.622 | − | 165.481i | −0.503729 | − | 0.290828i | 0.226523 | − | 0.974006i | \(-0.427264\pi\) |
−0.730252 | + | 0.683178i | \(0.760597\pi\) | |||||||
\(570\) | −439.963 | − | 690.759i | −0.771864 | − | 1.21186i | ||||
\(571\) | 420.825 | + | 728.890i | 0.736996 | + | 1.27651i | 0.953842 | + | 0.300309i | \(0.0970897\pi\) |
−0.216846 | + | 0.976206i | \(0.569577\pi\) | |||||||
\(572\) | 5.63375 | − | 9.75795i | 0.00984922 | − | 0.0170593i | ||||
\(573\) | 690.532 | + | 198.114i | 1.20512 | + | 0.345748i | ||||
\(574\) | 143.365 | − | 162.039i | 0.249765 | − | 0.282298i | ||||
\(575\) | −547.835 | + | 412.893i | −0.952757 | + | 0.718075i | ||||
\(576\) | 565.330 | − | 300.384i | 0.981476 | − | 0.521500i | ||||
\(577\) | 446.025 | − | 257.513i | 0.773007 | − | 0.446296i | −0.0609390 | − | 0.998141i | \(-0.519410\pi\) |
0.833946 | + | 0.551845i | \(0.186076\pi\) | |||||||
\(578\) | −52.1317 | − | 90.2948i | −0.0901933 | − | 0.156219i | ||||
\(579\) | 3.46701 | − | 3.34710i | 0.00598793 | − | 0.00578082i | ||||
\(580\) | 193.748 | − | 64.8358i | 0.334048 | − | 0.111786i | ||||
\(581\) | 100.590 | − | 494.370i | 0.173133 | − | 0.850895i | ||||
\(582\) | 345.615 | + | 99.1571i | 0.593841 | + | 0.170373i | ||||
\(583\) | −36.0131 | − | 20.7922i | −0.0617720 | − | 0.0356641i | ||||
\(584\) | 401.075 | − | 231.561i | 0.686773 | − | 0.396508i | ||||
\(585\) | 159.370 | + | 538.508i | 0.272427 | + | 0.920527i | ||||
\(586\) | −88.8462 | + | 153.886i | −0.151615 | + | 0.262604i | ||||
\(587\) | −935.242 | −1.59326 | −0.796629 | − | 0.604469i | \(-0.793385\pi\) | ||||
−0.796629 | + | 0.604469i | \(0.793385\pi\) | |||||||
\(588\) | −40.8509 | − | 106.478i | −0.0694744 | − | 0.181085i | ||||
\(589\) | 1051.08 | 1.78452 | ||||||||
\(590\) | −66.8338 | + | 328.567i | −0.113278 | + | 0.556893i | ||||
\(591\) | 833.489 | − | 207.686i | 1.41030 | − | 0.351414i | ||||
\(592\) | −4.39183 | + | 2.53563i | −0.00741863 | + | 0.00428315i | ||||
\(593\) | −244.872 | + | 424.131i | −0.412938 | + | 0.715229i | −0.995210 | − | 0.0977651i | \(-0.968831\pi\) |
0.582272 | + | 0.812994i | \(0.302164\pi\) | |||||||
\(594\) | −37.7341 | − | 41.9441i | −0.0635254 | − | 0.0706130i | ||||
\(595\) | −647.178 | + | 79.4777i | −1.08769 | + | 0.133576i | ||||
\(596\) | 123.204i | 0.206718i | ||||||||
\(597\) | −185.985 | − | 192.648i | −0.311532 | − | 0.322693i | ||||
\(598\) | 532.525 | − | 307.453i | 0.890510 | − | 0.514136i | ||||
\(599\) | 406.061 | − | 234.439i | 0.677898 | − | 0.391384i | −0.121165 | − | 0.992632i | \(-0.538663\pi\) |
0.799063 | + | 0.601248i | \(0.205330\pi\) | |||||||
\(600\) | −635.235 | − | 100.652i | −1.05873 | − | 0.167753i | ||||
\(601\) | 679.264 | 1.13022 | 0.565112 | − | 0.825014i | \(-0.308833\pi\) | ||||
0.565112 | + | 0.825014i | \(0.308833\pi\) | |||||||
\(602\) | 65.5452 | − | 74.0825i | 0.108879 | − | 0.123061i | ||||
\(603\) | −137.621 | + | 220.100i | −0.228227 | + | 0.365008i | ||||
\(604\) | −18.6499 | + | 32.3025i | −0.0308773 | + | 0.0534810i | ||||
\(605\) | −396.380 | + | 448.063i | −0.655174 | + | 0.740600i | ||||
\(606\) | 29.1068 | + | 116.812i | 0.0480310 | + | 0.192759i | ||||
\(607\) | −530.707 | − | 306.404i | −0.874312 | − | 0.504784i | −0.00553303 | − | 0.999985i | \(-0.501761\pi\) |
−0.868779 | + | 0.495201i | \(0.835095\pi\) | |||||||
\(608\) | 371.728 | 0.611395 | ||||||||
\(609\) | −1105.01 | + | 48.0663i | −1.81446 | + | 0.0789266i | ||||
\(610\) | 144.971 | + | 433.214i | 0.237657 | + | 0.710186i | ||||
\(611\) | −376.307 | − | 217.261i | −0.615887 | − | 0.355583i | ||||
\(612\) | 4.57689 | − | 129.999i | 0.00747857 | − | 0.212417i | ||||
\(613\) | −173.001 | + | 99.8821i | −0.282220 | + | 0.162940i | −0.634428 | − | 0.772982i | \(-0.718764\pi\) |
0.352208 | + | 0.935922i | \(0.385431\pi\) | |||||||
\(614\) | 686.284 | + | 396.226i | 1.11773 | + | 0.645319i | ||||
\(615\) | −11.2360 | − | 257.954i | −0.0182700 | − | 0.419437i | ||||
\(616\) | −22.1648 | − | 66.2478i | −0.0359818 | − | 0.107545i | ||||
\(617\) | −530.227 | −0.859363 | −0.429682 | − | 0.902980i | \(-0.641374\pi\) | ||||
−0.429682 | + | 0.902980i | \(0.641374\pi\) | |||||||
\(618\) | −57.4983 | + | 55.5096i | −0.0930393 | + | 0.0898213i | ||||
\(619\) | −410.628 | − | 711.228i | −0.663373 | − | 1.14900i | −0.979724 | − | 0.200353i | \(-0.935791\pi\) |
0.316351 | − | 0.948642i | \(-0.397542\pi\) | |||||||
\(620\) | 88.8473 | − | 100.432i | 0.143302 | − | 0.161987i | ||||
\(621\) | 153.728 | + | 724.763i | 0.247549 | + | 1.16709i | ||||
\(622\) | − | 40.3023i | − | 0.0647947i | ||||||
\(623\) | 222.194 | − | 251.135i | 0.356651 | − | 0.403106i | ||||
\(624\) | 442.465 | + | 126.943i | 0.709079 | + | 0.203435i | ||||
\(625\) | 434.234 | + | 449.517i | 0.694775 | + | 0.719227i | ||||
\(626\) | 390.555 | − | 225.487i | 0.623889 | − | 0.360202i | ||||
\(627\) | −25.6668 | − | 103.007i | −0.0409359 | − | 0.164285i | ||||
\(628\) | 87.5496 | + | 50.5468i | 0.139410 | + | 0.0804885i | ||||
\(629\) | 7.68420i | 0.0122165i | ||||||||
\(630\) | 512.557 | + | 239.174i | 0.813583 | + | 0.379642i | ||||
\(631\) | 314.044 | 0.497692 | 0.248846 | − | 0.968543i | \(-0.419949\pi\) | ||||
0.248846 | + | 0.968543i | \(0.419949\pi\) | |||||||
\(632\) | 142.697 | − | 247.159i | 0.225787 | − | 0.391074i | ||||
\(633\) | 507.110 | − | 126.360i | 0.801121 | − | 0.199620i | ||||
\(634\) | −31.3326 | − | 54.2697i | −0.0494205 | − | 0.0855988i | ||||
\(635\) | −0.571720 | + | 2.81068i | −0.000900346 | + | 0.00442626i | ||||
\(636\) | −22.9356 | + | 79.9427i | −0.0360622 | + | 0.125696i | ||||
\(637\) | 238.959 | − | 562.894i | 0.375133 | − | 0.883664i | ||||
\(638\) | −110.058 | −0.172505 | ||||||||
\(639\) | 282.296 | + | 531.288i | 0.441778 | + | 0.831437i | ||||
\(640\) | −261.133 | + | 295.181i | −0.408020 | + | 0.461220i | ||||
\(641\) | −633.511 | + | 365.758i | −0.988317 | + | 0.570605i | −0.904771 | − | 0.425899i | \(-0.859958\pi\) |
−0.0835460 | + | 0.996504i | \(0.526625\pi\) | |||||||
\(642\) | −127.177 | − | 131.734i | −0.198096 | − | 0.205193i | ||||
\(643\) | − | 326.029i | − | 0.507044i | −0.967330 | − | 0.253522i | \(-0.918411\pi\) | ||
0.967330 | − | 0.253522i | \(-0.0815890\pi\) | |||||||
\(644\) | −29.7127 | + | 146.028i | −0.0461377 | + | 0.226752i | ||||
\(645\) | −5.13701 | − | 117.934i | −0.00796435 | − | 0.182843i | ||||
\(646\) | −508.574 | + | 880.875i | −0.787266 | + | 1.36358i | ||||
\(647\) | 286.539 | + | 496.301i | 0.442874 | + | 0.767080i | 0.997901 | − | 0.0647521i | \(-0.0206257\pi\) |
−0.555028 | + | 0.831832i | \(0.687292\pi\) | |||||||
\(648\) | −388.752 | + | 575.638i | −0.599925 | + | 0.888330i | ||||
\(649\) | −21.7307 | + | 37.6387i | −0.0334834 | + | 0.0579949i | ||||
\(650\) | −337.187 | − | 447.387i | −0.518749 | − | 0.688287i | ||||
\(651\) | −612.298 | + | 389.938i | −0.940550 | + | 0.598982i | ||||
\(652\) | 108.505i | 0.166418i | ||||||||
\(653\) | 451.271 | − | 781.625i | 0.691074 | − | 1.19698i | −0.280412 | − | 0.959880i | \(-0.590471\pi\) |
0.971486 | − | 0.237096i | \(-0.0761956\pi\) | |||||||
\(654\) | −473.727 | + | 118.041i | −0.724353 | + | 0.180491i | ||||
\(655\) | −863.465 | − | 763.867i | −1.31827 | − | 1.16621i | ||||
\(656\) | −183.280 | − | 105.817i | −0.279391 | − | 0.161306i | ||||
\(657\) | −257.685 | + | 412.119i | −0.392214 | + | 0.627275i | ||||
\(658\) | −415.019 | + | 138.855i | −0.630727 | + | 0.211025i | ||||
\(659\) | − | 1144.56i | − | 1.73681i | −0.495855 | − | 0.868405i | \(-0.665145\pi\) | ||
0.495855 | − | 0.868405i | \(-0.334855\pi\) | |||||||
\(660\) | −12.0119 | − | 6.25459i | −0.0181999 | − | 0.00947665i | ||||
\(661\) | −374.330 | − | 648.358i | −0.566308 | − | 0.980875i | −0.996927 | − | 0.0783407i | \(-0.975038\pi\) |
0.430618 | − | 0.902534i | \(-0.358296\pi\) | |||||||
\(662\) | 244.220 | + | 423.002i | 0.368913 | + | 0.638976i | ||||
\(663\) | 501.802 | − | 484.446i | 0.756866 | − | 0.730688i | ||||
\(664\) | −618.046 | −0.930792 | ||||||||
\(665\) | 640.489 | + | 849.919i | 0.963141 | + | 1.27807i | ||||
\(666\) | 3.53389 | − | 5.65181i | 0.00530614 | − | 0.00848620i | ||||
\(667\) | 1251.62 | + | 722.626i | 1.87650 | + | 1.08340i | ||||
\(668\) | −87.0544 | − | 150.783i | −0.130321 | − | 0.225723i | ||||
\(669\) | 108.219 | + | 434.309i | 0.161763 | + | 0.649191i | ||||
\(670\) | 51.6158 | − | 253.753i | 0.0770385 | − | 0.378735i | ||||
\(671\) | 59.2145i | 0.0882481i | ||||||||
\(672\) | −216.546 | + | 137.906i | −0.322242 | + | 0.205217i | ||||
\(673\) | − | 351.912i | − | 0.522900i | −0.965217 | − | 0.261450i | \(-0.915799\pi\) | ||
0.965217 | − | 0.261450i | \(-0.0842007\pi\) | |||||||
\(674\) | −933.834 | − | 539.149i | −1.38551 | − | 0.799925i | ||||
\(675\) | 638.301 | − | 219.537i | 0.945632 | − | 0.325239i | ||||
\(676\) | 5.14054 | + | 8.90367i | 0.00760434 | + | 0.0131711i | ||||
\(677\) | 284.770 | − | 493.237i | 0.420636 | − | 0.728562i | −0.575366 | − | 0.817896i | \(-0.695140\pi\) |
0.996002 | + | 0.0893336i | \(0.0284737\pi\) | |||||||
\(678\) | −113.281 | + | 394.846i | −0.167082 | + | 0.582368i | ||||
\(679\) | −457.854 | − | 93.1606i | −0.674307 | − | 0.137203i | ||||
\(680\) | 253.491 | + | 757.503i | 0.372781 | + | 1.11397i | ||||
\(681\) | 192.230 | + | 199.117i | 0.282277 | + | 0.292390i | ||||
\(682\) | −62.5556 | + | 36.1165i | −0.0917238 | + | 0.0529567i | ||||
\(683\) | 390.284 | + | 675.992i | 0.571426 | + | 0.989740i | 0.996420 | + | 0.0845432i | \(0.0269431\pi\) |
−0.424993 | + | 0.905196i | \(0.639724\pi\) | |||||||
\(684\) | −187.487 | + | 99.6199i | −0.274104 | + | 0.145643i | ||||
\(685\) | −44.2661 | − | 132.280i | −0.0646220 | − | 0.193109i | ||||
\(686\) | −265.116 | − | 555.909i | −0.386467 | − | 0.810363i | ||||
\(687\) | −122.467 | + | 426.863i | −0.178263 | + | 0.621343i | ||||
\(688\) | −83.7939 | − | 48.3784i | −0.121793 | − | 0.0703175i | ||||
\(689\) | −386.203 | + | 222.974i | −0.560527 | + | 0.323620i | ||||
\(690\) | −397.041 | − | 623.371i | −0.575422 | − | 0.903436i | ||||
\(691\) | −237.246 | + | 410.922i | −0.343337 | + | 0.594678i | −0.985050 | − | 0.172267i | \(-0.944891\pi\) |
0.641713 | + | 0.766945i | \(0.278224\pi\) | |||||||
\(692\) | −227.822 | −0.329223 | ||||||||
\(693\) | 53.1659 | + | 50.4834i | 0.0767185 | + | 0.0728476i | ||||
\(694\) | −276.599 | −0.398557 | ||||||||
\(695\) | −639.300 | − | 130.040i | −0.919856 | − | 0.187108i | ||||
\(696\) | 327.612 | + | 1314.78i | 0.470707 | + | 1.88906i | ||||
\(697\) | −277.715 | + | 160.339i | −0.398443 | + | 0.230041i | ||||
\(698\) | 18.1647 | − | 31.4621i | 0.0260239 | − | 0.0450747i | ||||
\(699\) | 333.604 | − | 1162.79i | 0.477259 | − | 1.66350i | ||||
\(700\) | 135.350 | + | 10.6438i | 0.193358 | + | 0.0152055i | ||||
\(701\) | − | 319.674i | − | 0.456025i | −0.973658 | − | 0.228013i | \(-0.926777\pi\) | ||
0.973658 | − | 0.228013i | \(-0.0732227\pi\) | |||||||
\(702\) | −591.873 | + | 125.541i | −0.843125 | + | 0.178834i | ||||
\(703\) | 10.8615 | − | 6.27091i | 0.0154503 | − | 0.00892021i | ||||
\(704\) | −71.6879 | + | 41.3890i | −0.101829 | + | 0.0587912i | ||||
\(705\) | −241.203 | + | 463.231i | −0.342132 | + | 0.657065i | ||||
\(706\) | 584.342 | 0.827679 | ||||||||
\(707\) | −49.6349 | − | 148.353i | −0.0702050 | − | 0.209834i | ||||
\(708\) | 83.5512 | + | 23.9709i | 0.118010 | + | 0.0338571i | ||||
\(709\) | 679.847 | − | 1177.53i | 0.958882 | − | 1.66083i | 0.233657 | − | 0.972319i | \(-0.424931\pi\) |
0.725225 | − | 0.688512i | \(-0.241736\pi\) | |||||||
\(710\) | −449.509 | − | 397.659i | −0.633111 | − | 0.560084i | ||||
\(711\) | −10.5388 | + | 299.338i | −0.0148225 | + | 0.421010i | ||||
\(712\) | −355.753 | − | 205.394i | −0.499653 | − | 0.288475i | ||||
\(713\) | 948.544 | 1.33036 | ||||||||
\(714\) | −30.5282 | − | 701.818i | −0.0427566 | − | 0.982939i | ||||
\(715\) | −23.0445 | − | 68.8634i | −0.0322300 | − | 0.0963124i | ||||
\(716\) | −164.027 | − | 94.7010i | −0.229088 | − | 0.132264i | ||||
\(717\) | 30.5493 | + | 122.601i | 0.0426071 | + | 0.170992i | ||||
\(718\) | −897.691 | + | 518.282i | −1.25027 | + | 0.721842i | ||||
\(719\) | −10.4725 | − | 6.04630i | −0.0145654 | − | 0.00840932i | 0.492700 | − | 0.870199i | \(-0.336010\pi\) |
−0.507265 | + | 0.861790i | \(0.669343\pi\) | |||||||
\(720\) | 129.290 | − | 537.949i | 0.179569 | − | 0.747151i | ||||
\(721\) | 68.8180 | − | 77.7816i | 0.0954480 | − | 0.107880i | ||||
\(722\) | 1011.93 | 1.40157 | ||||||||
\(723\) | −554.945 | − | 574.827i | −0.767559 | − | 0.795059i | ||||
\(724\) | 31.5630 | + | 54.6687i | 0.0435953 | + | 0.0755092i | ||||
\(725\) | 514.388 | − | 1212.09i | 0.709500 | − | 1.67185i | ||||
\(726\) | −447.646 | − | 463.684i | −0.616593 | − | 0.638683i | ||||
\(727\) | 806.023i | 1.10870i | 0.832284 | + | 0.554349i | \(0.187033\pi\) | ||||
−0.832284 | + | 0.554349i | \(0.812967\pi\) | |||||||
\(728\) | −734.105 | − | 149.370i | −1.00839 | − | 0.205178i | ||||
\(729\) | 76.8232 | − | 724.941i | 0.105382 | − | 0.994432i | ||||
\(730\) | 96.6465 | − | 475.131i | 0.132392 | − | 0.650865i | ||||
\(731\) | −126.968 | + | 73.3053i | −0.173692 | + | 0.100281i | ||||
\(732\) | 114.914 | − | 28.6338i | 0.156986 | − | 0.0391172i | ||||
\(733\) | −229.808 | − | 132.680i | −0.313517 | − | 0.181009i | 0.334982 | − | 0.942224i | \(-0.391270\pi\) |
−0.648499 | + | 0.761215i | \(0.724603\pi\) | |||||||
\(734\) | 903.452i | 1.23086i | ||||||||
\(735\) | −688.418 | − | 257.499i | −0.936623 | − | 0.350339i | ||||
\(736\) | 335.464 | 0.455793 | ||||||||
\(737\) | 16.7827 | − | 29.0684i | 0.0227716 | − | 0.0394415i | ||||
\(738\) | 278.001 | + | 9.78760i | 0.376695 | + | 0.0132623i | ||||
\(739\) | 288.214 | + | 499.201i | 0.390005 | + | 0.675509i | 0.992450 | − | 0.122652i | \(-0.0391398\pi\) |
−0.602444 | + | 0.798161i | \(0.705807\pi\) | |||||||
\(740\) | 0.318927 | − | 1.56790i | 0.000430982 | − | 0.00211879i | ||||
\(741\) | −1094.27 | − | 313.946i | −1.47675 | − | 0.423679i | ||||
\(742\) | −89.5524 | + | 440.121i | −0.120691 | + | 0.593155i | ||||
\(743\) | 142.356 | 0.191596 | 0.0957979 | − | 0.995401i | \(-0.469460\pi\) | ||||
0.0957979 | + | 0.995401i | \(0.469460\pi\) | |||||||
\(744\) | 617.668 | + | 639.797i | 0.830200 | + | 0.859943i | ||||
\(745\) | 594.710 | + | 526.112i | 0.798268 | + | 0.706190i | ||||
\(746\) | 333.498 | − | 192.545i | 0.447049 | − | 0.258104i | ||||
\(747\) | 572.805 | − | 304.356i | 0.766807 | − | 0.407437i | ||||
\(748\) | 16.8199i | 0.0224864i | ||||||||
\(749\) | 178.205 | + | 157.668i | 0.237924 | + | 0.210505i | ||||
\(750\) | −519.583 | + | 428.292i | −0.692777 | + | 0.571056i | ||||
\(751\) | −39.6817 | + | 68.7308i | −0.0528385 | + | 0.0915190i | −0.891235 | − | 0.453542i | \(-0.850160\pi\) |
0.838396 | + | 0.545061i | \(0.183494\pi\) | |||||||
\(752\) | 214.039 | + | 370.726i | 0.284626 | + | 0.492987i | ||||
\(753\) | −309.653 | − | 1242.71i | −0.411226 | − | 1.65034i | ||||
\(754\) | −590.129 | + | 1022.13i | −0.782664 | + | 1.35561i | ||||
\(755\) | 76.2860 | + | 227.964i | 0.101041 | + | 0.301939i | ||||
\(756\) | 72.2611 | − | 127.588i | 0.0955834 | − | 0.168767i | ||||
\(757\) | − | 1310.05i | − | 1.73058i | −0.501268 | − | 0.865292i | \(-0.667133\pi\) | ||
0.501268 | − | 0.865292i | \(-0.332867\pi\) | |||||||
\(758\) | 453.714 | − | 785.855i | 0.598567 | − | 1.03675i | ||||
\(759\) | −23.1628 | − | 92.9576i | −0.0305176 | − | 0.122474i | ||||
\(760\) | 863.854 | − | 976.489i | 1.13665 | − | 1.28485i | ||||
\(761\) | −363.973 | − | 210.140i | −0.478283 | − | 0.276137i | 0.241418 | − | 0.970421i | \(-0.422388\pi\) |
−0.719701 | + | 0.694284i | \(0.755721\pi\) | |||||||
\(762\) | −2.97029 | − | 0.852177i | −0.00389802 | − | 0.00111834i | ||||
\(763\) | 601.637 | − | 201.292i | 0.788515 | − | 0.263817i | ||||
\(764\) | 185.780i | 0.243167i | ||||||||
\(765\) | −607.966 | − | 577.222i | −0.794727 | − | 0.754539i | ||||
\(766\) | −363.481 | − | 629.568i | −0.474519 | − | 0.821891i | ||||
\(767\) | 233.039 | + | 403.636i | 0.303832 | + | 0.526252i | ||||
\(768\) | 297.946 | + | 308.621i | 0.387951 | + | 0.401850i | ||||
\(769\) | −564.796 | −0.734455 | −0.367227 | − | 0.930131i | \(-0.619693\pi\) | ||||
−0.367227 | + | 0.930131i | \(0.619693\pi\) | |||||||
\(770\) | −67.3231 | − | 28.5752i | −0.0874326 | − | 0.0371107i | ||||
\(771\) | 13.8250 | − | 48.1876i | 0.0179313 | − | 0.0625002i | ||||
\(772\) | 1.07927 | + | 0.623118i | 0.00139802 | + | 0.000807147i | ||||
\(773\) | 279.388 | + | 483.914i | 0.361433 | + | 0.626021i | 0.988197 | − | 0.153189i | \(-0.0489542\pi\) |
−0.626764 | + | 0.779209i | \(0.715621\pi\) | |||||||
\(774\) | 127.099 | + | 4.47479i | 0.164211 | + | 0.00578139i | ||||
\(775\) | −105.388 | − | 857.741i | −0.135985 | − | 1.10676i | ||||
\(776\) | 572.395i | 0.737623i | ||||||||
\(777\) | −4.00085 | + | 7.68253i | −0.00514910 | + | 0.00988742i | ||||
\(778\) | − | 350.008i | − | 0.449882i | ||||||
\(779\) | 453.274 | + | 261.698i | 0.581867 | + | 0.335941i | ||||
\(780\) | −122.496 | + | 78.0206i | −0.157046 | + | 0.100026i | ||||
\(781\) | −38.8967 | − | 67.3711i | −0.0498037 | − | 0.0862626i | ||||
\(782\) | −458.959 | + | 794.940i | −0.586904 | + | 1.01655i | ||||
\(783\) | −951.093 | − | 1057.21i | −1.21468 | − | 1.35020i | ||||
\(784\) | −481.149 | + | 362.543i | −0.613711 | + | 0.462428i | ||||
\(785\) | 617.851 | − | 206.758i | 0.787072 | − | 0.263386i | ||||
\(786\) | 893.569 | − | 862.663i | 1.13686 | − | 1.09754i | ||||
\(787\) | −1010.07 | + | 583.163i | −1.28344 | + | 0.740995i | −0.977476 | − | 0.211047i | \(-0.932313\pi\) |
−0.305965 | + | 0.952043i | \(0.598979\pi\) | |||||||
\(788\) | 111.068 | + | 192.376i | 0.140949 | + | 0.244131i | ||||
\(789\) | −3.15190 | − | 3.26482i | −0.00399481 | − | 0.00413793i | ||||
\(790\) | −94.8194 | − | 283.347i | −0.120024 | − | 0.358667i | ||||
\(791\) | 106.431 | − | 523.072i | 0.134552 | − | 0.661280i | ||||
\(792\) | 47.6173 | − | 76.1551i | 0.0601229 | − | 0.0961555i | ||||
\(793\) | 549.938 | + | 317.507i | 0.693491 | + | 0.400387i | ||||
\(794\) | −898.107 | + | 518.522i | −1.13112 | + | 0.653051i | ||||
\(795\) | 287.946 | + | 452.087i | 0.362197 | + | 0.568663i | ||||
\(796\) | 34.6241 | − | 59.9708i | 0.0434977 | − | 0.0753402i | ||||
\(797\) | −290.985 | −0.365100 | −0.182550 | − | 0.983197i | \(-0.558435\pi\) | ||||
−0.182550 | + | 0.983197i | \(0.558435\pi\) | |||||||
\(798\) | −967.099 | + | 615.890i | −1.21190 | + | 0.771792i | ||||
\(799\) | 648.644 | 0.811820 | ||||||||
\(800\) | −37.2717 | − | 303.350i | −0.0465896 | − | 0.379187i | ||||
\(801\) | 430.857 | + | 15.1692i | 0.537899 | + | 0.0189379i | ||||
\(802\) | 357.805 | − | 206.579i | 0.446141 | − | 0.257579i | ||||
\(803\) | 31.4242 | − | 54.4283i | 0.0391335 | − | 0.0677812i | ||||
\(804\) | −64.5267 | − | 18.5127i | −0.0802571 | − | 0.0230258i | ||||
\(805\) | 578.005 | + | 767.004i | 0.718019 | + | 0.952800i | ||||
\(806\) | 774.624i | 0.961072i | ||||||||
\(807\) | −26.3899 | + | 25.4771i | −0.0327012 | + | 0.0315702i | ||||
\(808\) | −165.969 | + | 95.8220i | −0.205407 | + | 0.118592i | ||||
\(809\) | 201.885 | − | 116.559i | 0.249549 | − | 0.144077i | −0.370009 | − | 0.929028i | \(-0.620645\pi\) |
0.619558 | + | 0.784951i | \(0.287312\pi\) | |||||||
\(810\) | 181.707 | + | 704.151i | 0.224329 | + | 0.869323i | ||||
\(811\) | 704.253 | 0.868377 | 0.434188 | − | 0.900822i | \(-0.357035\pi\) | ||||
0.434188 | + | 0.900822i | \(0.357035\pi\) | |||||||
\(812\) | −90.7539 | − | 271.252i | −0.111766 | − | 0.334054i | ||||
\(813\) | −194.102 | + | 676.550i | −0.238748 | + | 0.832165i | ||||
\(814\) | −0.430952 | + | 0.746430i | −0.000529425 | + | 0.000916990i | ||||
\(815\) | 523.757 | + | 463.343i | 0.642647 | + | 0.568519i | ||||
\(816\) | −666.760 | + | 166.141i | −0.817108 | + | 0.203604i | ||||
\(817\) | 207.232 | + | 119.646i | 0.253651 | + | 0.146445i | ||||
\(818\) | −1043.17 | −1.27527 | ||||||||
\(819\) | 753.925 | − | 223.073i | 0.920543 | − | 0.272372i | ||||
\(820\) | 63.3204 | − | 21.1896i | 0.0772199 | − | 0.0258409i | ||||
\(821\) | 681.324 | + | 393.363i | 0.829871 | + | 0.479126i | 0.853808 | − | 0.520587i | \(-0.174287\pi\) |
−0.0239375 | + | 0.999713i | \(0.507620\pi\) | |||||||
\(822\) | 145.822 | − | 36.3353i | 0.177399 | − | 0.0442036i | ||||
\(823\) | 1214.48 | − | 701.183i | 1.47568 | − | 0.851984i | 0.476056 | − | 0.879415i | \(-0.342066\pi\) |
0.999624 | + | 0.0274304i | \(0.00873245\pi\) | |||||||
\(824\) | −110.184 | − | 63.6147i | −0.133718 | − | 0.0772023i | ||||
\(825\) | −81.4854 | + | 31.2735i | −0.0987701 | + | 0.0379073i | ||||
\(826\) | 459.988 | + | 93.5946i | 0.556886 | + | 0.113311i | ||||
\(827\) | 413.959 | 0.500555 | 0.250277 | − | 0.968174i | \(-0.419478\pi\) | ||||
0.250277 | + | 0.968174i | \(0.419478\pi\) | |||||||
\(828\) | −169.197 | + | 89.9014i | −0.204344 | + | 0.108577i | ||||
\(829\) | 298.625 | + | 517.233i | 0.360223 | + | 0.623924i | 0.987997 | − | 0.154471i | \(-0.0493674\pi\) |
−0.627775 | + | 0.778395i | \(0.716034\pi\) | |||||||
\(830\) | −428.734 | + | 484.635i | −0.516546 | + | 0.583897i | ||||
\(831\) | 1066.49 | − | 1029.60i | 1.28338 | − | 1.23899i | ||||
\(832\) | 887.708i | 1.06696i | ||||||||
\(833\) | 111.215 | + | 906.056i | 0.133511 | + | 1.08770i | ||||
\(834\) | 193.831 | − | 675.605i | 0.232412 | − | 0.810078i | ||||
\(835\) | −1099.58 | − | 223.666i | −1.31686 | − | 0.267863i | ||||
\(836\) | 23.7747 | − | 13.7263i | 0.0284386 | − | 0.0164191i | ||||
\(837\) | −887.522 | − | 288.794i | −1.06036 | − | 0.345035i | ||||
\(838\) | 343.372 | + | 198.246i | 0.409752 | + | 0.236570i | ||||
\(839\) | 534.770i | 0.637389i | 0.947857 | + | 0.318695i | \(0.103244\pi\) | ||||
−0.947857 | + | 0.318695i | \(0.896756\pi\) | |||||||
\(840\) | −140.965 | + | 889.321i | −0.167816 | + | 1.05872i | ||||
\(841\) | −1933.03 | −2.29849 | ||||||||
\(842\) | 671.421 | − | 1162.94i | 0.797413 | − | 1.38116i | ||||
\(843\) | 48.6409 | + | 195.207i | 0.0576998 | + | 0.231562i | ||||
\(844\) | 67.5758 | + | 117.045i | 0.0800661 | + | 0.138679i | ||||
\(845\) | 64.9299 | + | 13.2074i | 0.0768401 | + | 0.0156300i | ||||
\(846\) | −477.085 | − | 298.305i | −0.563930 | − | 0.352607i | ||||
\(847\) | 627.255 | + | 554.969i | 0.740561 | + | 0.655218i | ||||
\(848\) | 439.335 | 0.518084 | ||||||||
\(849\) | 295.402 | − | 285.185i | 0.347941 | − | 0.335907i | ||||
\(850\) | 769.834 | + | 326.701i | 0.905687 | + | 0.384354i | ||||
\(851\) | 9.80192 | − | 5.65914i | 0.0115181 | − | 0.00664999i | ||||
\(852\) | −111.934 | + | 108.063i | −0.131378 | + | 0.126834i | ||||
\(853\) | 1067.16i | 1.25107i | 0.780197 | + | 0.625534i | \(0.215119\pi\) | ||||
−0.780197 | + | 0.625534i | \(0.784881\pi\) | |||||||
\(854\) | 606.511 | − | 202.923i | 0.710201 | − | 0.237615i | ||||
\(855\) | −319.749 | + | 1330.41i | −0.373976 | + | 1.55604i | ||||
\(856\) | 145.747 | − | 252.441i | 0.170265 | − | 0.294908i | ||||
\(857\) | 666.543 | + | 1154.49i | 0.777763 | + | 1.34713i | 0.933228 | + | 0.359284i | \(0.116979\pi\) |
−0.155465 | + | 0.987841i | \(0.549688\pi\) | |||||||
\(858\) | 75.9134 | − | 18.9158i | 0.0884771 | − | 0.0220464i | ||||
\(859\) | 106.833 | − | 185.040i | 0.124369 | − | 0.215414i | −0.797117 | − | 0.603825i | \(-0.793643\pi\) |
0.921486 | + | 0.388411i | \(0.126976\pi\) | |||||||
\(860\) | 28.9494 | − | 9.68765i | 0.0336621 | − | 0.0112647i | ||||
\(861\) | −361.136 | + | 15.7090i | −0.419438 | + | 0.0182450i | ||||
\(862\) | − | 642.986i | − | 0.745923i | ||||||
\(863\) | −654.750 | + | 1134.06i | −0.758690 | + | 1.31409i | 0.184829 | + | 0.982771i | \(0.440827\pi\) |
−0.943519 | + | 0.331319i | \(0.892506\pi\) | |||||||
\(864\) | −313.882 | − | 102.135i | −0.363290 | − | 0.118212i | ||||
\(865\) | −972.861 | + | 1099.71i | −1.12469 | + | 1.27134i | ||||
\(866\) | 968.398 | + | 559.105i | 1.11824 | + | 0.645618i | ||||
\(867\) | −48.0395 | + | 167.443i | −0.0554088 | + | 0.193129i | ||||
\(868\) | −140.597 | − | 124.395i | −0.161978 | − | 0.143312i | ||||
\(869\) | − | 38.7297i | − | 0.0445682i | ||||||
\(870\) | 1258.24 | + | 655.160i | 1.44625 | + | 0.753058i | ||||
\(871\) | −179.976 | − | 311.728i | −0.206632 | − | 0.357897i | ||||
\(872\) | −388.602 | − | 673.078i | −0.445644 | − | 0.771878i | ||||
\(873\) | −281.875 | − | 530.496i | −0.322881 | − | 0.607670i | ||||
\(874\) | 1498.19 | 1.71417 | ||||||||
\(875\) | 629.360 | − | 607.891i | 0.719268 | − | 0.694732i | ||||
\(876\) | −120.821 | − | 34.6636i | −0.137924 | − | 0.0395703i | ||||
\(877\) | −953.678 | − | 550.606i | −1.08743 | − | 0.627829i | −0.154541 | − | 0.987986i | \(-0.549390\pi\) |
−0.932892 | + | 0.360157i | \(0.882723\pi\) | |||||||
\(878\) | 349.084 | + | 604.631i | 0.397590 | + | 0.688646i | ||||
\(879\) | 288.071 | − | 71.7805i | 0.327726 | − | 0.0816616i | ||||
\(880\) | −14.2599 | + | 70.1044i | −0.0162045 | + | 0.0796641i | ||||
\(881\) | 295.122i | 0.334985i | 0.985873 | + | 0.167492i | \(0.0535670\pi\) | ||||
−0.985873 | + | 0.167492i | \(0.946433\pi\) | |||||||
\(882\) | 334.887 | − | 717.560i | 0.379690 | − | 0.813560i | ||||
\(883\) | 1192.92i | 1.35098i | 0.737368 | + | 0.675491i | \(0.236068\pi\) | ||||
−0.737368 | + | 0.675491i | \(0.763932\pi\) | |||||||
\(884\) | 156.210 | + | 90.1878i | 0.176708 | + | 0.102022i | ||||
\(885\) | 472.494 | − | 300.944i | 0.533891 | − | 0.340050i | ||||
\(886\) | −344.958 | − | 597.486i | −0.389344 | − | 0.674363i | ||||
\(887\) | 530.626 | − | 919.071i | 0.598225 | − | 1.03616i | −0.394858 | − | 0.918742i | \(-0.629206\pi\) |
0.993083 | − | 0.117414i | \(-0.0374606\pi\) | |||||||
\(888\) | 10.1999 | + | 2.92635i | 0.0114864 | + | 0.00329544i | ||||
\(889\) | 3.93490 | + | 0.800642i | 0.00442621 | + | 0.000900609i | ||||
\(890\) | −407.841 | + | 136.480i | −0.458248 | + | 0.153348i | ||||
\(891\) | −6.62924 | + | 94.0296i | −0.00744022 | + | 0.105533i | ||||
\(892\) | −100.242 | + | 57.8746i | −0.112379 | + | 0.0648818i | ||||
\(893\) | −529.344 | − | 916.852i | −0.592771 | − | 1.02671i | ||||
\(894\) | −615.444 | + | 594.157i | −0.688416 | + | 0.664605i | ||||
\(895\) | −1157.56 | + | 387.368i | −1.29337 | + | 0.432813i | ||||
\(896\) | 413.232 | + | 365.610i | 0.461196 | + | 0.408047i | ||||
\(897\) | −987.517 | − | 283.319i | −1.10091 | − | 0.315851i | ||||
\(898\) | 52.8221 | + | 30.4969i | 0.0588219 | + | 0.0339609i | ||||
\(899\) | −1576.72 | + | 910.322i | −1.75386 | + | 1.01259i | ||||
\(900\) | 100.094 | + | 143.011i | 0.111215 | + | 0.158901i | ||||
\(901\) | 332.851 | − | 576.515i | 0.369424 | − | 0.639861i | ||||
\(902\) | −35.9690 | −0.0398770 | ||||||||
\(903\) | −165.108 | + | 7.18198i | −0.182844 | + | 0.00795347i | ||||
\(904\) | −653.928 | −0.723372 | ||||||||
\(905\) | 398.671 | + | 81.0936i | 0.440520 | + | 0.0896062i | ||||
\(906\) | −251.302 | + | 62.6185i | −0.277375 | + | 0.0691153i | ||||
\(907\) | −58.1760 | + | 33.5879i | −0.0641411 | + | 0.0370319i | −0.531728 | − | 0.846915i | \(-0.678457\pi\) |
0.467586 | + | 0.883947i | \(0.345124\pi\) | |||||||
\(908\) | −35.7869 | + | 61.9847i | −0.0394129 | + | 0.0682651i | ||||
\(909\) | 106.632 | − | 170.539i | 0.117307 | − | 0.187611i | ||||
\(910\) | −626.370 | + | 472.025i | −0.688318 | + | 0.518708i | ||||
\(911\) | − | 184.755i | − | 0.202805i | −0.994845 | − | 0.101402i | \(-0.967667\pi\) | ||
0.994845 | − | 0.101402i | \(-0.0323330\pi\) | |||||||
\(912\) | 778.966 | + | 806.874i | 0.854130 | + | 0.884731i | ||||
\(913\) | −72.6357 | + | 41.9362i | −0.0795571 | + | 0.0459323i | ||||
\(914\) | 776.053 | − | 448.054i | 0.849073 | − | 0.490212i | ||||
\(915\) | 352.496 | − | 676.969i | 0.385241 | − | 0.739857i | ||||
\(916\) | −114.843 | −0.125374 | ||||||||
\(917\) | −1069.49 | + | 1208.79i | −1.16629 | + | 1.31820i | ||||
\(918\) | 671.461 | − | 604.065i | 0.731439 | − | 0.658023i | ||||
\(919\) | −366.654 | + | 635.064i | −0.398971 | + | 0.691038i | −0.993599 | − | 0.112963i | \(-0.963966\pi\) |
0.594628 | + | 0.804001i | \(0.297299\pi\) | |||||||
\(920\) | 779.579 | − | 881.226i | 0.847369 | − | 0.957854i | ||||
\(921\) | −320.118 | − | 1284.71i | −0.347577 | − | 1.39490i | ||||
\(922\) | −1269.67 | − | 733.047i | −1.37709 | − | 0.795062i | ||||
\(923\) | −834.254 | −0.903850 | ||||||||
\(924\) | −8.75742 | + | 16.8162i | −0.00947773 | + | 0.0181994i | ||||
\(925\) | −6.20644 | − | 8.23483i | −0.00670966 | − | 0.00890252i | ||||
\(926\) | −550.252 | − | 317.688i | −0.594224 | − | 0.343076i | ||||
\(927\) | 133.445 | + | 4.69823i | 0.143954 | + | 0.00506820i | ||||
\(928\) | −557.627 | + | 321.946i | −0.600891 | + | 0.346925i | ||||
\(929\) | 738.216 | + | 426.209i | 0.794635 | + | 0.458783i | 0.841592 | − | 0.540114i | \(-0.181619\pi\) |
−0.0469566 | + | 0.998897i | \(0.514952\pi\) | |||||||
\(930\) | 930.163 | − | 40.5164i | 1.00018 | − | 0.0435660i | ||||
\(931\) | 1189.94 | − | 896.613i | 1.27813 | − | 0.963065i | ||||
\(932\) | 312.835 | 0.335660 | ||||||||
\(933\) | −48.4435 | + | 46.7680i | −0.0519223 | + | 0.0501265i | ||||
\(934\) | 228.143 | + | 395.155i | 0.244264 | + | 0.423078i | ||||
\(935\) | 81.1903 | + | 71.8252i | 0.0868345 | + | 0.0768184i | ||||
\(936\) | −451.947 | − | 850.575i | −0.482849 | − | 0.908733i | ||||
\(937\) | − | 962.292i | − | 1.02699i | −0.858092 | − | 0.513496i | \(-0.828350\pi\) | ||
0.858092 | − | 0.513496i | \(-0.171650\pi\) | |||||||
\(938\) | −355.249 | − | 72.2833i | −0.378731 | − | 0.0770611i | ||||
\(939\) | −724.246 | − | 207.786i | −0.771295 | − | 0.221285i | ||||
\(940\) | −132.351 | − | 26.9215i | −0.140799 | − | 0.0286399i | ||||
\(941\) | −1201.16 | + | 693.492i | −1.27648 | + | 0.736974i | −0.976199 | − | 0.216879i | \(-0.930412\pi\) |
−0.300277 | + | 0.953852i | \(0.597079\pi\) | |||||||
\(942\) | 169.715 | + | 681.104i | 0.180165 | + | 0.723041i | ||||
\(943\) | 409.054 | + | 236.168i | 0.433780 | + | 0.250443i | ||||
\(944\) | − | 459.166i | − | 0.486405i | ||||||
\(945\) | −307.298 | − | 893.640i | −0.325183 | − | 0.945651i | ||||
\(946\) | −16.4447 | −0.0173834 | ||||||||
\(947\) | 538.877 | − | 933.363i | 0.569036 | − | 0.985599i | −0.427626 | − | 0.903956i | \(-0.640650\pi\) |
0.996662 | − | 0.0816434i | \(-0.0260169\pi\) | |||||||
\(948\) | −75.1604 | + | 18.7282i | −0.0792831 | + | 0.0197555i | ||||
\(949\) | −336.992 | − | 583.687i | −0.355102 | − | 0.615054i | ||||
\(950\) | −166.456 | − | 1354.77i | −0.175217 | − | 1.42607i | ||||
\(951\) | −28.8730 | + | 100.638i | −0.0303607 | + | 0.105823i | ||||
\(952\) | 1060.53 | − | 354.824i | 1.11400 | − | 0.372715i | ||||
\(953\) | −522.489 | −0.548257 | −0.274129 | − | 0.961693i | \(-0.588389\pi\) | ||||
−0.274129 | + | 0.961693i | \(0.588389\pi\) | |||||||
\(954\) | −509.949 | + | 270.958i | −0.534538 | + | 0.284023i | ||||
\(955\) | 896.769 | + | 793.329i | 0.939025 | + | 0.830711i | ||||
\(956\) | −28.2973 | + | 16.3375i | −0.0295997 | + | 0.0170894i | ||||
\(957\) | 127.714 | + | 132.290i | 0.133453 | + | 0.138234i | ||||
\(958\) | 457.517i | 0.477576i | ||||||||
\(959\) | −185.195 | + | 61.9615i | −0.193113 | + | 0.0646105i | ||||
\(960\) | 1065.95 | − | 46.4312i | 1.11037 | − | 0.0483658i | ||||
\(961\) | −116.961 | + | 202.582i | −0.121707 | + | 0.210803i | ||||
\(962\) | 4.62151 | + | 8.00468i | 0.00480406 | + | 0.00832088i | ||||
\(963\) | −10.7641 | + | 305.735i | −0.0111776 | + | 0.317482i | ||||
\(964\) | 103.312 | − | 178.942i | 0.107170 | − | 0.185625i | ||||
\(965\) | 7.61659 | − | 2.54882i | 0.00789284 | − | 0.00264126i | ||||
\(966\) | −872.752 | + | 555.806i | −0.903470 | + | 0.575368i | ||||
\(967\) | − | 1319.89i | − | 1.36493i | −0.730919 | − | 0.682465i | \(-0.760908\pi\) | ||
0.730919 | − | 0.682465i | \(-0.239092\pi\) | |||||||
\(968\) | 513.009 | − | 888.557i | 0.529968 | − | 0.917931i | ||||
\(969\) | 1648.98 | − | 410.886i | 1.70173 | − | 0.424031i | ||||
\(970\) | 448.838 | + | 397.066i | 0.462720 | + | 0.409346i | ||||
\(971\) | −1471.76 | − | 849.722i | −1.51572 | − | 0.875100i | −0.999830 | − | 0.0184437i | \(-0.994129\pi\) |
−0.515888 | − | 0.856656i | \(-0.672538\pi\) | |||||||
\(972\) | 185.683 | − | 32.6041i | 0.191032 | − | 0.0335433i | ||||
\(973\) | −182.109 | + | 895.009i | −0.187163 | + | 0.919845i | ||||
\(974\) | 300.266i | 0.308281i | ||||||||
\(975\) | −146.479 | + | 924.460i | −0.150235 | + | 0.948164i | ||||
\(976\) | −312.798 | − | 541.783i | −0.320490 | − | 0.555105i | ||||
\(977\) | 0.666368 | + | 1.15418i | 0.000682055 | + | 0.00118135i | 0.866366 | − | 0.499409i | \(-0.166450\pi\) |
−0.865684 | + | 0.500591i | \(0.833116\pi\) | |||||||
\(978\) | −542.018 | + | 523.270i | −0.554210 | + | 0.535041i | ||||
\(979\) | −55.7463 | −0.0569421 | ||||||||
\(980\) | 14.9126 | − | 189.490i | 0.0152170 | − | 0.193357i | ||||
\(981\) | 691.612 | + | 432.442i | 0.705007 | + | 0.440818i | ||||
\(982\) | 1030.99 | + | 595.242i | 1.04989 | + | 0.606153i | ||||
\(983\) | 169.240 | + | 293.133i | 0.172167 | + | 0.298202i | 0.939177 | − | 0.343433i | \(-0.111590\pi\) |
−0.767010 | + | 0.641635i | \(0.778256\pi\) | |||||||
\(984\) | 107.070 | + | 429.696i | 0.108811 | + | 0.436683i | ||||
\(985\) | 1402.90 | + | 285.363i | 1.42426 | + | 0.289709i | ||||
\(986\) | − | 1761.86i | − | 1.78688i | ||||||
\(987\) | 648.503 | + | 337.723i | 0.657045 | + | 0.342171i | ||||
\(988\) | − | 294.401i | − | 0.297977i | ||||||
\(989\) | 187.016 | + | 107.974i | 0.189096 | + | 0.109174i | ||||
\(990\) | −26.6846 | − | 90.1669i | −0.0269541 | − | 0.0910777i | ||||
\(991\) | 82.0512 | + | 142.117i | 0.0827963 | + | 0.143407i | 0.904450 | − | 0.426580i | \(-0.140282\pi\) |
−0.821654 | + | 0.569987i | \(0.806948\pi\) | |||||||
\(992\) | −211.299 | + | 365.980i | −0.213003 | + | 0.368932i | ||||
\(993\) | 225.049 | − | 784.417i | 0.226636 | − | 0.789947i | ||||
\(994\) | −556.761 | + | 629.279i | −0.560121 | + | 0.633078i | ||||
\(995\) | −141.628 | − | 423.223i | −0.142339 | − | 0.425350i | ||||
\(996\) | 116.507 | + | 120.681i | 0.116975 | + | 0.121166i | ||||
\(997\) | −34.3128 | + | 19.8105i | −0.0344161 | + | 0.0198701i | −0.517109 | − | 0.855919i | \(-0.672992\pi\) |
0.482693 | + | 0.875789i | \(0.339659\pi\) | |||||||
\(998\) | 383.588 | + | 664.394i | 0.384357 | + | 0.665725i | ||||
\(999\) | −10.8943 | + | 2.31078i | −0.0109052 | + | 0.00231309i |
(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 | 105.3.o.b.44.8 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.14 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.13 | yes | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.7 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.7 | ✓ | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.13 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.14 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.8 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.7 | ✓ | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.44.8 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.44.13 | yes | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.14 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.74.7 | yes | 40 | 7.4 | even | 3 | inner | |
105.3.o.b.74.8 | yes | 40 | 105.74 | odd | 6 | inner | |
105.3.o.b.74.13 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.14 | yes | 40 | 35.4 | even | 6 | inner |