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 | 44.14 | ||
Character | \(\chi\) | \(=\) | 105.44 |
Dual form | 105.3.o.b.74.14 |
$q$-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 | −0.549415 | − | 0.835550i | \(-0.685149\pi\) |
0.998315 | + | 0.0580320i | \(0.0184826\pi\) | |||||||
\(3\) | 2.08367 | − | 2.15832i | 0.694556 | − | 0.719439i | ||||
\(4\) | 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 | ||||||||
\(9\) | −0.316668 | − | 8.99443i | −0.0351853 | − | 0.999381i | ||||
\(10\) | −5.94873 | + | 6.72437i | −0.594873 | + | 0.672437i | ||||
\(11\) | 1.00783 | − | 0.581870i | 0.0916208 | − | 0.0528973i | −0.453490 | − | 0.891262i | \(-0.649821\pi\) |
0.545110 | + | 0.838364i | \(0.316488\pi\) | |||||||
\(12\) | 2.25840 | + | 0.562740i | 0.188200 | + | 0.0468950i | ||||
\(13\) | 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 | ||||
\(15\) | −12.3603 | + | 8.49836i | −0.824022 | + | 0.566558i | ||||
\(16\) | 6.14742 | − | 10.6476i | 0.384213 | − | 0.665477i | ||||
\(17\) | 9.31485 | + | 16.1338i | 0.547933 | + | 0.949047i | 0.998416 | + | 0.0562623i | \(0.0179183\pi\) |
−0.450483 | + | 0.892785i | \(0.648748\pi\) | |||||||
\(18\) | −14.2710 | − | 7.58277i | −0.792831 | − | 0.421265i | ||||
\(19\) | −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 | ||||
\(21\) | −11.8967 | − | 17.3052i | −0.566508 | − | 0.824056i | ||||
\(22\) | − | 2.08961i | − | 0.0949824i | ||||||
\(23\) | 13.7201 | − | 23.7640i | 0.596527 | − | 1.03322i | −0.396802 | − | 0.917904i | \(-0.629880\pi\) |
0.993329 | − | 0.115311i | \(-0.0367865\pi\) | |||||||
\(24\) | 17.8684 | − | 18.5086i | 0.744517 | − | 0.771190i | ||||
\(25\) | 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 | \(0.362457\pi\) | ||||
−0.418781 | + | 0.908087i | \(0.637543\pi\) | |||||||
\(30\) | 2.11815 | + | 26.8506i | 0.0706049 | + | 0.895020i | ||||
\(31\) | −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 | ||||
\(33\) | 0.844119 | − | 3.38764i | 0.0255794 | − | 0.102656i | ||||
\(34\) | 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 | ||||
\(39\) | 26.9356 | + | 26.0040i | 0.690656 | + | 0.666768i | ||||
\(40\) | −42.0169 | − | 8.54666i | −1.05042 | − | 0.213666i | ||||
\(41\) | 17.2132i | 0.419835i | 0.977719 | + | 0.209918i | \(0.0673195\pi\) | ||||
−0.977719 | + | 0.209918i | \(0.932680\pi\) | |||||||
\(42\) | −37.5910 | + | 2.96317i | −0.895024 | + | 0.0705516i | ||||
\(43\) | − | 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 | ||||
\(45\) | −7.41265 | + | 44.3853i | −0.164726 | + | 0.986339i | ||||
\(46\) | −24.6359 | − | 42.6706i | −0.535562 | − | 0.927621i | ||||
\(47\) | 17.4089 | − | 30.1530i | 0.370401 | − | 0.641554i | −0.619226 | − | 0.785213i | \(-0.712553\pi\) |
0.989627 | + | 0.143659i | \(0.0458868\pi\) | |||||||
\(48\) | −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 | ||||
\(51\) | 54.2309 | + | 13.5130i | 1.06335 | + | 0.264962i | ||||
\(52\) | −8.38498 | + | 4.84107i | −0.161250 | + | 0.0930975i | ||||
\(53\) | −17.8667 | − | 30.9460i | −0.337107 | − | 0.583886i | 0.646780 | − | 0.762676i | \(-0.276115\pi\) |
−0.983887 | + | 0.178790i | \(0.942782\pi\) | |||||||
\(54\) | −46.1019 | + | 15.0013i | −0.853740 | + | 0.277802i | ||||
\(55\) | −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 | −0.748389 | − | 0.663260i | \(-0.769172\pi\) |
0.200205 | + | 0.979754i | \(0.435839\pi\) | |||||||
\(60\) | −10.5046 | − | 5.00805i | −0.175076 | − | 0.0834675i | ||||
\(61\) | 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 | ||||||||
\(63\) | −62.1388 | − | 10.3814i | −0.986330 | − | 0.164784i | ||||
\(64\) | 71.1310 | 1.11142 | ||||||||
\(65\) | 12.4380 | − | 61.1474i | 0.191354 | − | 0.940729i | ||||
\(66\) | −4.51005 | − | 4.35406i | −0.0683341 | − | 0.0659706i | ||||
\(67\) | −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 | \(-0.843980\pi\) | ||
0.882262 | − | 0.470759i | \(-0.156020\pi\) | |||||||
\(72\) | −2.71557 | − | 77.1314i | −0.0377163 | − | 1.07127i | ||||
\(73\) | −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 | ||||
\(75\) | 69.0313 | − | 29.3203i | 0.920417 | − | 0.390937i | ||||
\(76\) | −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 | ||||
\(81\) | −80.7994 | + | 5.69649i | −0.997524 | + | 0.0703270i | ||||
\(82\) | 26.7672 | + | 15.4540i | 0.326429 | + | 0.188464i | ||||
\(83\) | −72.0714 | −0.868330 | −0.434165 | − | 0.900833i | \(-0.642957\pi\) | ||||
−0.434165 | + | 0.900833i | \(0.642957\pi\) | |||||||
\(84\) | 7.01214 | − | 14.7060i | 0.0834779 | − | 0.175071i | ||||
\(85\) | −29.5601 | − | 88.3338i | −0.347765 | − | 1.03922i | ||||
\(86\) | −12.2377 | − | 7.06544i | −0.142299 | − | 0.0821562i | ||||
\(87\) | 113.677 | + | 109.745i | 1.30663 | + | 1.26143i | ||||
\(88\) | 8.64260 | − | 4.98981i | 0.0982114 | − | 0.0567024i | ||||
\(89\) | −41.4850 | − | 23.9513i | −0.466123 | − | 0.269116i | 0.248492 | − | 0.968634i | \(-0.420065\pi\) |
−0.714615 | + | 0.699518i | \(0.753398\pi\) | |||||||
\(90\) | 62.3656 | + | 51.3760i | 0.692951 | + | 0.570845i | ||||
\(91\) | 85.6053 | + | 17.4183i | 0.940717 | + | 0.191410i | ||||
\(92\) | 21.2887 | 0.231398 | ||||||||
\(93\) | −100.626 | − | 25.0736i | −1.08200 | − | 0.269609i | ||||
\(94\) | −31.2594 | − | 54.1428i | −0.332546 | − | 0.575987i | ||||
\(95\) | 100.736 | − | 113.870i | 1.06037 | − | 1.19863i | ||||
\(96\) | 35.5876 | + | 8.86757i | 0.370704 | + | 0.0923706i | ||||
\(97\) | − | 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 | −0.592742 | − | 0.805392i | \(-0.701955\pi\) |
0.401119 | + | 0.916026i | \(0.368621\pi\) | |||||||
\(102\) | 69.7018 | − | 72.1990i | 0.683351 | − | 0.707833i | ||||
\(103\) | 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 | ||||||||
\(105\) | 41.0427 | + | 96.6463i | 0.390883 | + | 0.920441i | ||||
\(106\) | −64.1628 | −0.605309 | ||||||||
\(107\) | 16.9958 | − | 29.4376i | 0.158840 | − | 0.275118i | −0.775611 | − | 0.631211i | \(-0.782558\pi\) |
0.934450 | + | 0.356093i | \(0.115891\pi\) | |||||||
\(108\) | 4.34636 | − | 20.4912i | 0.0402440 | − | 0.189734i | ||||
\(109\) | 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 | \(-0.609552\pi\) | ||||
−0.337415 | + | 0.941356i | \(0.609552\pi\) | |||||||
\(114\) | 158.935 | + | 39.6027i | 1.39416 | + | 0.347392i | ||||
\(115\) | −90.9081 | + | 102.761i | −0.790505 | + | 0.893577i | ||||
\(116\) | −35.3872 | + | 20.4308i | −0.305062 | + | 0.176128i | ||||
\(117\) | 112.250 | − | 3.95198i | 0.959398 | − | 0.0337776i | ||||
\(118\) | 67.0590i | 0.568297i | ||||||||
\(119\) | 123.670 | − | 41.3767i | 1.03924 | − | 0.347703i | ||||
\(120\) | −105.996 | + | 72.8774i | −0.883296 | + | 0.607312i | ||||
\(121\) | −59.8229 | + | 103.616i | −0.494404 | + | 0.856332i | ||||
\(122\) | −45.6827 | − | 79.1247i | −0.374448 | − | 0.648563i | ||||
\(123\) | 37.1516 | + | 35.8666i | 0.302046 | + | 0.291599i | ||||
\(124\) | 13.4091 | − | 23.2253i | 0.108138 | − | 0.187300i | ||||
\(125\) | −103.024 | − | 70.7882i | −0.824195 | − | 0.566306i | ||||
\(126\) | −71.9317 | + | 87.3076i | −0.570886 | + | 0.692917i | ||||
\(127\) | 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 | ||||
\(129\) | −16.9854 | − | 16.3979i | −0.131669 | − | 0.127115i | ||||
\(130\) | −83.9195 | − | 74.2396i | −0.645535 | − | 0.571074i | ||||
\(131\) | 199.680 | + | 115.285i | 1.52427 | + | 0.880039i | 0.999587 | + | 0.0287429i | \(0.00915041\pi\) |
0.524686 | + | 0.851296i | \(0.324183\pi\) | |||||||
\(132\) | 2.60352 | − | 0.746951i | 0.0197237 | − | 0.00565872i | ||||
\(133\) | 159.410 | + | 141.039i | 1.19857 | + | 1.06045i | ||||
\(134\) | 51.7898i | 0.386491i | ||||||||
\(135\) | 80.3520 | + | 108.483i | 0.595200 | + | 0.803577i | ||||
\(136\) | 79.8792 | + | 138.355i | 0.587347 | + | 1.01731i | ||||
\(137\) | 13.9490 | + | 24.1603i | 0.101817 | + | 0.176353i | 0.912433 | − | 0.409225i | \(-0.134201\pi\) |
−0.810616 | + | 0.585578i | \(0.800868\pi\) | |||||||
\(138\) | −143.430 | − | 35.7392i | −1.03934 | − | 0.258980i | ||||
\(139\) | −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 | ||||
\(144\) | −97.7161 | − | 51.9207i | −0.678584 | − | 0.360561i | ||||
\(145\) | 52.4921 | − | 258.061i | 0.362015 | − | 1.77973i | ||||
\(146\) | 96.9723i | 0.664194i | ||||||||
\(147\) | −135.308 | + | 57.4517i | −0.920464 | + | 0.390828i | ||||
\(148\) | − | 0.320002i | − | 0.00216218i | ||||||
\(149\) | −137.529 | − | 79.4024i | −0.923013 | − | 0.532902i | −0.0384179 | − | 0.999262i | \(-0.512232\pi\) |
−0.884595 | + | 0.466360i | \(0.845565\pi\) | |||||||
\(150\) | 16.3822 | − | 133.670i | 0.109215 | − | 0.891133i | ||||
\(151\) | 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 | ||||
\(156\) | −7.02294 | + | 28.1846i | −0.0450188 | + | 0.180671i | ||||
\(157\) | 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 | ||||
\(159\) | −104.019 | − | 25.9192i | −0.654210 | − | 0.163014i | ||||
\(160\) | −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 | ||||
\(165\) | −7.51216 | + | 15.7570i | −0.0455282 | + | 0.0954970i | ||||
\(166\) | −64.7057 | + | 112.074i | −0.389794 | + | 0.675142i | ||||
\(167\) | 224.419 | 1.34383 | 0.671915 | − | 0.740629i | \(-0.265472\pi\) | ||||
0.671915 | + | 0.740629i | \(0.265472\pi\) | |||||||
\(168\) | −102.020 | − | 148.400i | −0.607259 | − | 0.883333i | ||||
\(169\) | 13.2519 | 0.0784136 | ||||||||
\(170\) | −163.901 | − | 33.3391i | −0.964125 | − | 0.196113i | ||||
\(171\) | 241.664 | + | 128.406i | 1.41324 | + | 0.750914i | ||||
\(172\) | 5.28750 | − | 3.05274i | 0.0307413 | − | 0.0177485i | ||||
\(173\) | 146.827 | − | 254.312i | 0.848711 | − | 1.47001i | −0.0336474 | − | 0.999434i | \(-0.510712\pi\) |
0.882359 | − | 0.470577i | \(-0.155954\pi\) | |||||||
\(174\) | 272.716 | − | 78.2422i | 1.56733 | − | 0.449668i | ||||
\(175\) | 99.1121 | − | 144.228i | 0.566355 | − | 0.824161i | ||||
\(176\) | − | 14.3080i | − | 0.0812954i | ||||||
\(177\) | −27.0891 | + | 108.715i | −0.153046 | + | 0.614207i | ||||
\(178\) | −74.4904 | + | 43.0071i | −0.418485 | + | 0.241613i | ||||
\(179\) | 211.424 | − | 122.066i | 1.18114 | − | 0.681933i | 0.224863 | − | 0.974390i | \(-0.427806\pi\) |
0.956278 | + | 0.292458i | \(0.0944731\pi\) | |||||||
\(180\) | −32.6969 | + | 12.2371i | −0.181650 | + | 0.0679837i | ||||
\(181\) | 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 | ||||
\(186\) | −129.332 | + | 133.966i | −0.695336 | + | 0.720248i | ||||
\(187\) | 18.7756 | + | 10.8401i | 0.100404 | + | 0.0579683i | ||||
\(188\) | 27.0122 | 0.143682 | ||||||||
\(189\) | −151.883 | + | 112.484i | −0.803613 | + | 0.595152i | ||||
\(190\) | −86.6317 | − | 258.880i | −0.455956 | − | 1.36253i | ||||
\(191\) | −207.381 | − | 119.732i | −1.08577 | − | 0.626867i | −0.153319 | − | 0.988177i | \(-0.548996\pi\) |
−0.932446 | + | 0.361310i | \(0.882330\pi\) | |||||||
\(192\) | 148.213 | − | 153.523i | 0.771944 | − | 0.799600i | ||||
\(193\) | 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 | ||||
\(195\) | −106.059 | − | 154.256i | −0.543891 | − | 0.791055i | ||||
\(196\) | −4.63145 | − | 37.7319i | −0.0236298 | − | 0.192510i | ||||
\(197\) | −286.325 | −1.45343 | −0.726713 | − | 0.686941i | \(-0.758953\pi\) | ||||
−0.726713 | + | 0.686941i | \(0.758953\pi\) | |||||||
\(198\) | −18.7949 | + | 0.661713i | −0.0949236 | + | 0.00334199i | ||||
\(199\) | −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 | ||||
\(201\) | −20.9210 | + | 83.9605i | −0.104084 | + | 0.417714i | ||||
\(202\) | 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 | ||||
\(207\) | −218.088 | − | 115.879i | −1.05356 | − | 0.559804i | ||||
\(208\) | 132.882 | + | 76.7192i | 0.638853 | + | 0.368842i | ||||
\(209\) | 35.3854i | 0.169308i | ||||||||
\(210\) | 187.137 | + | 22.9462i | 0.891126 | + | 0.109268i | ||||
\(211\) | 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 | ||||
\(213\) | −144.279 | − | 139.288i | −0.677365 | − | 0.653936i | ||||
\(214\) | −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 | ||||||||
\(219\) | −39.1728 | + | 157.209i | −0.178871 | + | 0.717851i | ||||
\(220\) | −3.38110 | − | 2.99110i | −0.0153686 | − | 0.0135959i | ||||
\(221\) | −201.348 | + | 116.249i | −0.911078 | + | 0.526011i | ||||
\(222\) | −0.537217 | + | 2.15597i | −0.00241989 | + | 0.00971158i | ||||
\(223\) | 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 | ||||
\(225\) | 80.5557 | − | 210.085i | 0.358025 | − | 0.933712i | ||||
\(226\) | −68.4624 | + | 118.580i | −0.302931 | + | 0.524692i | ||||
\(227\) | −46.1279 | − | 79.8959i | −0.203207 | − | 0.351964i | 0.746353 | − | 0.665550i | \(-0.231803\pi\) |
−0.949560 | + | 0.313586i | \(0.898470\pi\) | |||||||
\(228\) | −49.1537 | + | 50.9147i | −0.215586 | + | 0.223310i | ||||
\(229\) | −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 | ||||
\(231\) | −22.0592 | − | 10.5183i | −0.0954943 | − | 0.0455339i | ||||
\(232\) | 451.661i | 1.94682i | ||||||||
\(233\) | −201.616 | + | 349.210i | −0.865306 | + | 1.49875i | 0.00143686 | + | 0.999999i | \(0.499543\pi\) |
−0.866743 | + | 0.498755i | \(0.833791\pi\) | |||||||
\(234\) | 94.6323 | − | 178.100i | 0.404411 | − | 0.761112i | ||||
\(235\) | −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 | \(-0.971917\pi\) | ||
0.996111 | − | 0.0881102i | \(-0.0280828\pi\) | |||||||
\(240\) | 14.5034 | + | 183.851i | 0.0604307 | + | 0.766047i | ||||
\(241\) | −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 | ||||
\(243\) | −156.064 | + | 186.260i | −0.642240 | + | 0.766504i | ||||
\(244\) | 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 | ||||
\(249\) | −150.173 | + | 155.553i | −0.603104 | + | 0.624711i | ||||
\(250\) | −202.574 | + | 96.6529i | −0.810294 | + | 0.386612i | ||||
\(251\) | 426.902i | 1.70081i | 0.526133 | + | 0.850403i | \(0.323642\pi\) | ||||
−0.526133 | + | 0.850403i | \(0.676358\pi\) | |||||||
\(252\) | −17.1292 | − | 45.7767i | −0.0679729 | − | 0.181654i | ||||
\(253\) | − | 31.9333i | − | 0.126219i | ||||||
\(254\) | 0.892041 | + | 0.515020i | 0.00351197 | + | 0.00202764i | ||||
\(255\) | −252.246 | − | 120.258i | −0.989198 | − | 0.471601i | ||||
\(256\) | 71.4957 | + | 123.834i | 0.279280 | + | 0.483727i | ||||
\(257\) | −8.35527 | + | 14.4718i | −0.0325108 | + | 0.0563103i | −0.881823 | − | 0.471581i | \(-0.843684\pi\) |
0.849312 | + | 0.527891i | \(0.177017\pi\) | |||||||
\(258\) | −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 | ||||
\(261\) | 473.728 | − | 16.6786i | 1.81505 | − | 0.0639026i | ||||
\(262\) | 358.545 | − | 207.006i | 1.36849 | − | 0.790099i | ||||
\(263\) | 0.756335 | + | 1.31001i | 0.00287580 | + | 0.00498103i | 0.867460 | − | 0.497507i | \(-0.165751\pi\) |
−0.864584 | + | 0.502488i | \(0.832418\pi\) | |||||||
\(264\) | 7.23871 | − | 29.0506i | 0.0274194 | − | 0.110040i | ||||
\(265\) | 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 | −0.480189 | − | 0.877165i | \(-0.659432\pi\) |
0.519553 | + | 0.854438i | \(0.326099\pi\) | |||||||
\(270\) | 240.835 | − | 27.5542i | 0.891981 | − | 0.102053i | ||||
\(271\) | −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 | ||||||||
\(273\) | 215.967 | − | 148.469i | 0.791088 | − | 0.543844i | ||||
\(274\) | 50.0935 | 0.182823 | ||||||||
\(275\) | 28.8764 | − | 3.54795i | 0.105005 | − | 0.0129016i | ||||
\(276\) | 44.3584 | − | 45.9477i | 0.160719 | − | 0.166477i | ||||
\(277\) | 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 | \(-0.961928\pi\) | ||
0.992856 | − | 0.119321i | \(-0.0380719\pi\) | |||||||
\(282\) | −181.991 | − | 45.3479i | −0.645360 | − | 0.160808i | ||||
\(283\) | 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 | ||||
\(285\) | −35.8686 | − | 454.687i | −0.125855 | − | 1.59539i | ||||
\(286\) | 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 | ||||
\(291\) | −144.063 | − | 139.081i | −0.495063 | − | 0.477940i | ||||
\(292\) | −36.2851 | − | 20.9492i | −0.124264 | − | 0.0717439i | ||||
\(293\) | −98.9599 | −0.337747 | −0.168874 | − | 0.985638i | \(-0.554013\pi\) | ||||
−0.168874 | + | 0.985638i | \(0.554013\pi\) | |||||||
\(294\) | −32.1403 | + | 261.989i | −0.109321 | + | 0.891120i | ||||
\(295\) | 177.079 | − | 59.2579i | 0.600269 | − | 0.200874i | ||||
\(296\) | −3.06324 | − | 1.76856i | −0.0103488 | − | 0.00597487i | ||||
\(297\) | −30.7372 | − | 6.51961i | −0.103492 | − | 0.0219515i | ||||
\(298\) | −246.947 | + | 142.575i | −0.828681 | + | 0.478439i | ||||
\(299\) | 296.572 | + | 171.226i | 0.991879 | + | 0.572662i | ||||
\(300\) | 46.4776 | + | 35.0070i | 0.154925 | + | 0.116690i | ||||
\(301\) | −53.9819 | − | 10.9838i | −0.179342 | − | 0.0364911i | ||||
\(302\) | 86.3287 | 0.285857 | ||||||||
\(303\) | −16.2101 | + | 65.0547i | −0.0534986 | + | 0.214702i | ||||
\(304\) | 186.922 | + | 323.759i | 0.614875 | + | 1.06500i | ||||
\(305\) | −168.572 | + | 190.552i | −0.552696 | + | 0.624761i | ||||
\(306\) | −10.5930 | − | 300.877i | −0.0346177 | − | 0.983259i | ||||
\(307\) | − | 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 | −0.468424 | − | 0.883504i | \(-0.655178\pi\) |
0.530925 | + | 0.847419i | \(0.321845\pi\) | |||||||
\(312\) | 230.985 | + | 222.996i | 0.740337 | + | 0.714731i | ||||
\(313\) | −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 | ||||||
\(315\) | 294.113 | + | 112.795i | 0.933691 | + | 0.358081i | ||||
\(316\) | −25.8195 | −0.0817074 | ||||||||
\(317\) | 17.4496 | − | 30.2237i | 0.0550462 | − | 0.0953428i | −0.837189 | − | 0.546913i | \(-0.815803\pi\) |
0.892235 | + | 0.451570i | \(0.149136\pi\) | |||||||
\(318\) | −133.694 | + | 138.484i | −0.420421 | + | 0.435483i | ||||
\(319\) | 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 | ||||||||
\(324\) | −35.1702 | − | 52.0777i | −0.108550 | − | 0.160734i | ||||
\(325\) | −121.884 | + | 287.205i | −0.375027 | + | 0.883709i | ||||
\(326\) | 217.485 | − | 125.565i | 0.667131 | − | 0.385168i | ||||
\(327\) | 263.826 | + | 65.7392i | 0.806808 | + | 0.201037i | ||||
\(328\) | 147.611i | 0.450035i | ||||||||
\(329\) | −182.535 | − | 161.500i | −0.554819 | − | 0.490881i | ||||
\(330\) | 17.7583 | + | 25.8283i | 0.0538130 | + | 0.0782676i | ||||
\(331\) | 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 | ||||
\(333\) | −1.74185 | + | 3.27820i | −0.00523078 | + | 0.00984446i | ||||
\(334\) | 201.484 | − | 348.980i | 0.603245 | − | 1.04485i | ||||
\(335\) | 136.759 | − | 45.7650i | 0.408235 | − | 0.136612i | ||||
\(336\) | −257.393 | + | 20.2894i | −0.766051 | + | 0.0603851i | ||||
\(337\) | 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 | ||||
\(339\) | −158.892 | + | 164.584i | −0.468707 | + | 0.485499i | ||||
\(340\) | 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 | ||||||
\(345\) | 32.3694 | + | 410.329i | 0.0938243 | + | 1.18936i | ||||
\(346\) | −263.643 | − | 456.643i | −0.761973 | − | 1.31978i | ||||
\(347\) | −77.0212 | − | 133.405i | −0.221963 | − | 0.384451i | 0.733441 | − | 0.679753i | \(-0.237913\pi\) |
−0.955404 | + | 0.295302i | \(0.904580\pi\) | |||||||
\(348\) | −29.6390 | + | 118.948i | −0.0851694 | + | 0.341804i | ||||
\(349\) | −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 | 0.999008 | − | 0.0445203i | \(-0.0141760\pi\) |
−0.538060 | + | 0.842907i | \(0.680843\pi\) | |||||||
\(354\) | 144.735 | + | 139.729i | 0.408855 | + | 0.394714i | ||||
\(355\) | −66.6232 | + | 327.531i | −0.187671 | + | 0.922624i | ||||
\(356\) | − | 37.1638i | − | 0.104393i | ||||||
\(357\) | 168.382 | − | 353.134i | 0.471659 | − | 0.989170i | ||||
\(358\) | − | 438.363i | − | 1.22448i | ||||||
\(359\) | −499.939 | − | 288.640i | −1.39259 | − | 0.804011i | −0.398987 | − | 0.916957i | \(-0.630638\pi\) |
−0.993601 | + | 0.112945i | \(0.963972\pi\) | |||||||
\(360\) | −63.5669 | + | 380.624i | −0.176575 | + | 1.05729i | ||||
\(361\) | −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 | ||||
\(366\) | −265.964 | − | 66.2718i | −0.726677 | − | 0.181071i | ||||
\(367\) | 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 | ||||
\(369\) | 154.823 | − | 5.45088i | 0.419575 | − | 0.0147720i | ||||
\(370\) | 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 | ||||
\(375\) | −367.452 | + | 74.8603i | −0.979872 | + | 0.199627i | ||||
\(376\) | 149.289 | − | 258.576i | 0.397045 | − | 0.687703i | ||||
\(377\) | −657.305 | −1.74351 | ||||||||
\(378\) | 38.5559 | + | 337.171i | 0.102000 | + | 0.891987i | ||||
\(379\) | −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 | ||||
\(381\) | 1.23811 | + | 1.19529i | 0.00324964 | + | 0.00313724i | ||||
\(382\) | −372.374 | + | 214.990i | −0.974800 | + | 0.562801i | ||||
\(383\) | 202.429 | − | 350.617i | 0.528535 | − | 0.915449i | −0.470912 | − | 0.882180i | \(-0.656075\pi\) |
0.999446 | − | 0.0332689i | \(-0.0105918\pi\) | |||||||
\(384\) | −65.2112 | − | 227.296i | −0.169821 | − | 0.591917i | ||||
\(385\) | 4.96473 | + | 40.4272i | 0.0128954 | + | 0.105006i | ||||
\(386\) | − | 2.88436i | − | 0.00747244i | ||||||
\(387\) | −70.7836 | + | 2.49209i | −0.182903 | + | 0.00643950i | ||||
\(388\) | 44.8466 | − | 25.8922i | 0.115584 | − | 0.0667324i | ||||
\(389\) | 168.810 | − | 97.4627i | 0.433960 | − | 0.250547i | −0.267072 | − | 0.963676i | \(-0.586056\pi\) |
0.701032 | + | 0.713130i | \(0.252723\pi\) | |||||||
\(390\) | −335.093 | + | 26.4343i | −0.859213 | + | 0.0677802i | ||||
\(391\) | 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 | ||||
\(396\) | 3.81272 | − | 7.17563i | 0.00962807 | − | 0.0181203i | ||||
\(397\) | 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 | ||||||||
\(399\) | 636.564 | − | 50.1781i | 1.59540 | − | 0.125760i | ||||
\(400\) | 245.462 | − | 185.000i | 0.613656 | − | 0.462501i | ||||
\(401\) | 199.268 | + | 115.047i | 0.496927 | + | 0.286901i | 0.727443 | − | 0.686168i | \(-0.240708\pi\) |
−0.230517 | + | 0.973068i | \(0.574042\pi\) | |||||||
\(402\) | 111.779 | + | 107.913i | 0.278057 | + | 0.268439i | ||||
\(403\) | 373.604 | − | 215.700i | 0.927057 | − | 0.535237i | ||||
\(404\) | −15.0151 | − | 8.66897i | −0.0371661 | − | 0.0214579i | ||||
\(405\) | 401.567 | + | 52.6171i | 0.991525 | + | 0.129919i | ||||
\(406\) | 438.669 | − | 495.806i | 1.08047 | − | 1.22120i | ||||
\(407\) | −0.480008 | −0.00117938 | ||||||||
\(408\) | 465.055 | + | 115.881i | 1.13984 | + | 0.284021i | ||||
\(409\) | 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 | ||||
\(411\) | 81.2106 | + | 20.2357i | 0.197593 | + | 0.0492354i | ||||
\(412\) | 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 | ||||
\(417\) | −271.873 | + | 281.614i | −0.651974 | + | 0.675332i | ||||
\(418\) | 55.0256 | + | 31.7690i | 0.131640 | + | 0.0760025i | ||||
\(419\) | 220.813i | 0.527000i | 0.964659 | + | 0.263500i | \(0.0848769\pi\) | ||||
−0.964659 | + | 0.263500i | \(0.915123\pi\) | |||||||
\(420\) | −49.0137 | + | 65.0657i | −0.116699 | + | 0.154918i | ||||
\(421\) | −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 | ||||
\(423\) | −276.722 | − | 147.034i | −0.654189 | − | 0.347599i | ||||
\(424\) | −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 | ||||||||
\(429\) | 42.2774 | + | 10.5345i | 0.0985488 | + | 0.0245560i | ||||
\(430\) | 52.9189 | + | 46.8149i | 0.123067 | + | 0.108872i | ||||
\(431\) | 310.115 | − | 179.045i | 0.719523 | − | 0.415417i | −0.0950539 | − | 0.995472i | \(-0.530302\pi\) |
0.814577 | + | 0.580055i | \(0.196969\pi\) | |||||||
\(432\) | −315.669 | + | 102.717i | −0.730716 | + | 0.237770i | ||||
\(433\) | − | 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 | ||||
\(435\) | −447.601 | − | 651.007i | −1.02897 | − | 1.49657i | ||||
\(436\) | −35.1566 | + | 60.8931i | −0.0806345 | + | 0.139663i | ||||
\(437\) | 417.182 | + | 722.581i | 0.954651 | + | 1.65350i | ||||
\(438\) | 209.297 | + | 202.058i | 0.477847 | + | 0.461319i | ||||
\(439\) | 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 | ||||
\(441\) | −157.938 | + | 411.748i | −0.358136 | + | 0.933669i | ||||
\(442\) | 417.472i | 0.944506i | ||||||||
\(443\) | 192.113 | − | 332.750i | 0.433664 | − | 0.751128i | −0.563522 | − | 0.826101i | \(-0.690554\pi\) |
0.997186 | + | 0.0749733i | \(0.0238872\pi\) | |||||||
\(444\) | −0.690666 | − | 0.666777i | −0.00155555 | − | 0.00150175i | ||||
\(445\) | 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 | \(0.0120435\pi\) | ||||
−0.999284 | + | 0.0378267i | \(0.987957\pi\) | |||||||
\(450\) | −254.367 | − | 313.881i | −0.565260 | − | 0.697514i | ||||
\(451\) | 10.0159 | + | 17.3480i | 0.0222081 | + | 0.0384656i | ||||
\(452\) | −29.5803 | − | 51.2346i | −0.0654432 | − | 0.113351i | ||||
\(453\) | 139.954 | + | 34.8733i | 0.308950 | + | 0.0769830i | ||||
\(454\) | −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 | ||||
\(459\) | 104.369 | − | 492.055i | 0.227383 | − | 1.07202i | ||||
\(460\) | −104.307 | − | 21.2171i | −0.226755 | − | 0.0461242i | ||||
\(461\) | − | 816.492i | − | 1.77113i | −0.464513 | − | 0.885566i | \(-0.653771\pi\) | ||
0.464513 | − | 0.885566i | \(-0.346229\pi\) | |||||||
\(462\) | −36.1611 | + | 24.8595i | −0.0782708 | + | 0.0538084i | ||||
\(463\) | 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 | ||||
\(465\) | 468.045 | + | 223.140i | 1.00655 | + | 0.479872i | ||||
\(466\) | 362.022 | + | 627.041i | 0.776872 | + | 1.34558i | ||||
\(467\) | −127.057 | + | 220.068i | −0.272070 | + | 0.471238i | −0.969392 | − | 0.245520i | \(-0.921041\pi\) |
0.697322 | + | 0.716758i | \(0.254375\pi\) | |||||||
\(468\) | 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 | ||||
\(471\) | 94.5171 | − | 379.318i | 0.200673 | − | 0.805347i | ||||
\(472\) | −277.355 | + | 160.131i | −0.587616 | + | 0.339260i | ||||
\(473\) | −4.57916 | − | 7.93133i | −0.00968109 | − | 0.0167681i | ||||
\(474\) | 173.956 | + | 43.3456i | 0.366995 | + | 0.0914464i | ||||
\(475\) | −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 | −0.712327 | − | 0.701847i | \(-0.752359\pi\) |
0.251654 | + | 0.967817i | \(0.419025\pi\) | |||||||
\(480\) | −165.529 | − | 78.9162i | −0.344853 | − | 0.164409i | ||||
\(481\) | 2.57379 | − | 4.45794i | 0.00535092 | − | 0.00926807i | ||||
\(482\) | −478.224 | −0.992167 | ||||||||
\(483\) | −574.463 | + | 45.2829i | −1.18936 | + | 0.0937535i | ||||
\(484\) | −92.8234 | −0.191784 | ||||||||
\(485\) | −66.5238 | + | 327.043i | −0.137162 | + | 0.674315i | ||||
\(486\) | 149.527 | + | 409.910i | 0.307669 | + | 0.843437i | ||||
\(487\) | 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 | \(0.235923\pi\) | ||||
−0.737677 | + | 0.675154i | \(0.764077\pi\) | |||||||
\(492\) | −9.68657 | + | 38.8744i | −0.0196881 | + | 0.0790130i | ||||
\(493\) | −849.752 | + | 490.605i | −1.72363 | + | 0.995141i | ||||
\(494\) | −590.092 | + | 340.690i | −1.19452 | + | 0.689655i | ||||
\(495\) | 18.3558 | + | 49.0460i | 0.0370824 | + | 0.0990828i | ||||
\(496\) | −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 | ||||
\(501\) | 467.615 | − | 484.369i | 0.933364 | − | 0.966803i | ||||
\(502\) | 663.848 | + | 383.273i | 1.32241 | + | 0.763492i | ||||
\(503\) | 503.059 | 1.00012 | 0.500059 | − | 0.865991i | \(-0.333312\pi\) | ||||
0.500059 | + | 0.865991i | \(0.333312\pi\) | |||||||
\(504\) | −532.869 | − | 89.0254i | −1.05728 | − | 0.176638i | ||||
\(505\) | 105.964 | − | 35.4598i | 0.209830 | − | 0.0702175i | ||||
\(506\) | −49.6575 | − | 28.6698i | −0.0981373 | − | 0.0566596i | ||||
\(507\) | 27.6126 | − | 28.6018i | 0.0544626 | − | 0.0564138i | ||||
\(508\) | −0.385421 | + | 0.222523i | −0.000758702 | + | 0.000438037i | ||||
\(509\) | 481.244 | + | 277.846i | 0.945469 | + | 0.545867i | 0.891670 | − | 0.452685i | \(-0.149534\pi\) |
0.0537984 | + | 0.998552i | \(0.482867\pi\) | |||||||
\(510\) | −413.472 | + | 284.283i | −0.810729 | + | 0.557418i | ||||
\(511\) | 119.947 | + | 358.505i | 0.234729 | + | 0.701575i | ||||
\(512\) | 572.043 | 1.11727 | ||||||||
\(513\) | 780.688 | − | 254.031i | 1.52181 | − | 0.495188i | ||||
\(514\) | 15.0027 | + | 25.9855i | 0.0291882 | + | 0.0505554i | ||||
\(515\) | −55.5612 | − | 49.1524i | −0.107886 | − | 0.0954415i | ||||
\(516\) | 4.42860 | − | 17.7730i | 0.00858256 | − | 0.0344438i | ||||
\(517\) | − | 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 | −0.285712 | − | 0.958316i | \(-0.592230\pi\) |
0.687070 | + | 0.726591i | \(0.258897\pi\) | |||||||
\(522\) | 399.377 | − | 751.638i | 0.765091 | − | 1.43992i | ||||
\(523\) | −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 | ||||||||
\(525\) | −104.774 | − | 514.439i | −0.199569 | − | 0.979884i | ||||
\(526\) | 2.71615 | 0.00516379 | ||||||||
\(527\) | 321.992 | − | 557.707i | 0.610991 | − | 1.05827i | ||||
\(528\) | −30.8812 | − | 29.8131i | −0.0584871 | − | 0.0564642i | ||||
\(529\) | −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 | ||||||||
\(534\) | −62.3903 | + | 250.386i | −0.116836 | + | 0.468888i | ||||
\(535\) | −112.613 | + | 127.296i | −0.210491 | + | 0.237936i | ||||
\(536\) | −214.202 | + | 123.669i | −0.399630 | + | 0.230726i | ||||
\(537\) | 177.081 | − | 710.666i | 0.329760 | − | 1.32340i | ||||
\(538\) | − | 21.9549i | − | 0.0408084i | ||||||
\(539\) | −56.5985 | + | 6.94725i | −0.105007 | + | 0.0128891i | ||||
\(540\) | −41.7181 | + | 96.0683i | −0.0772557 | + | 0.177904i | ||||
\(541\) | −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 | ||||
\(543\) | 169.542 | − | 175.616i | 0.312231 | − | 0.323417i | ||||
\(544\) | −113.876 | + | 197.240i | −0.209332 | + | 0.362573i | ||||
\(545\) | −143.806 | − | 429.732i | −0.263864 | − | 0.788499i | ||||
\(546\) | −36.9801 | − | 469.132i | −0.0677291 | − | 0.859217i | ||||
\(547\) | 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 | ||||
\(549\) | −404.404 | − | 214.877i | −0.736619 | − | 0.391397i | ||||
\(550\) | 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 | ||||||
\(555\) | 6.16789 | − | 0.486563i | 0.0111133 | − | 0.000876690i | ||||
\(556\) | −50.6137 | − | 87.6656i | −0.0910319 | − | 0.157672i | ||||
\(557\) | 178.710 | + | 309.535i | 0.320844 | + | 0.555718i | 0.980662 | − | 0.195707i | \(-0.0627003\pi\) |
−0.659819 | + | 0.751425i | \(0.729367\pi\) | |||||||
\(558\) | 19.6555 | + | 558.281i | 0.0352248 | + | 1.00050i | ||||
\(559\) | 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 | \(0.0335430\pi\) |
−0.406135 | + | 0.913813i | \(0.633124\pi\) | |||||||
\(564\) | 56.2845 | − | 58.3010i | 0.0997952 | − | 0.103371i | ||||
\(565\) | 373.628 | + | 75.9996i | 0.661288 | + | 0.134513i | ||||
\(566\) | − | 245.758i | − | 0.434202i | ||||||
\(567\) | −73.6975 | + | 562.190i | −0.129978 | + | 0.991517i | ||||
\(568\) | − | 573.250i | − | 1.00924i | ||||||
\(569\) | 286.622 | + | 165.481i | 0.503729 | + | 0.290828i | 0.730252 | − | 0.683178i | \(-0.239403\pi\) |
−0.226523 | + | 0.974006i | \(0.572736\pi\) | |||||||
\(570\) | −739.257 | − | 352.441i | −1.29694 | − | 0.618317i | ||||
\(571\) | 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 | ||||
\(576\) | −22.5249 | − | 639.782i | −0.0391057 | − | 1.11073i | ||||
\(577\) | 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 | ||||
\(579\) | 1.16516 | − | 4.67607i | 0.00201237 | − | 0.00807611i | ||||
\(580\) | 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 | ||||
\(585\) | −553.924 | − | 92.5092i | −0.946879 | − | 0.158135i | ||||
\(586\) | −88.8462 | + | 153.886i | −0.151615 | + | 0.262604i | ||||
\(587\) | 935.242 | 1.59326 | 0.796629 | − | 0.604469i | \(-0.206615\pi\) | ||||
0.796629 | + | 0.604469i | \(0.206615\pi\) | |||||||
\(588\) | −91.0879 | − | 68.6246i | −0.154911 | − | 0.116709i | ||||
\(589\) | 1051.08 | 1.78452 | ||||||||
\(590\) | 66.8338 | − | 328.567i | 0.113278 | − | 0.556893i | ||||
\(591\) | −596.605 | + | 617.980i | −1.00948 | + | 1.04565i | ||||
\(592\) | −4.39183 | + | 2.53563i | −0.00741863 | + | 0.00428315i | ||||
\(593\) | 244.872 | − | 424.131i | 0.412938 | − | 0.715229i | −0.582272 | − | 0.812994i | \(-0.697836\pi\) |
0.995210 | + | 0.0977651i | \(0.0311694\pi\) | |||||||
\(594\) | −37.7341 | + | 41.9441i | −0.0635254 | + | 0.0706130i | ||||
\(595\) | −647.178 | + | 79.4777i | −1.08769 | + | 0.133576i | ||||
\(596\) | − | 123.204i | − | 0.206718i | ||||||
\(597\) | −259.830 | − | 64.7435i | −0.435226 | − | 0.108448i | ||||
\(598\) | 532.525 | − | 307.453i | 0.890510 | − | 0.514136i | ||||
\(599\) | −406.061 | + | 234.439i | −0.677898 | + | 0.391384i | −0.799063 | − | 0.601248i | \(-0.794670\pi\) |
0.121165 | + | 0.992632i | \(0.461337\pi\) | |||||||
\(600\) | 591.975 | − | 251.435i | 0.986625 | − | 0.419059i | ||||
\(601\) | 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 | ||||
\(606\) | 86.6089 | + | 83.6133i | 0.142919 | + | 0.137976i | ||||
\(607\) | −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 | ||||||||
\(609\) | 911.447 | − | 626.587i | 1.49663 | − | 1.02888i | ||||
\(610\) | 144.971 | + | 433.214i | 0.237657 | + | 0.710186i | ||||
\(611\) | 376.307 | + | 217.261i | 0.615887 | + | 0.355583i | ||||
\(612\) | 114.871 | + | 61.0358i | 0.187697 | + | 0.0997316i | ||||
\(613\) | −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 | ||||
\(615\) | −146.284 | − | 212.761i | −0.237861 | − | 0.345953i | ||||
\(616\) | −22.1648 | − | 66.2478i | −0.0359818 | − | 0.107545i | ||||
\(617\) | 530.227 | 0.859363 | 0.429682 | − | 0.902980i | \(-0.358626\pi\) | ||||
0.429682 | + | 0.902980i | \(0.358626\pi\) | |||||||
\(618\) | 19.3236 | − | 77.5498i | 0.0312679 | − | 0.125485i | ||||
\(619\) | −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 | ||||
\(621\) | −704.527 | + | 229.249i | −1.13450 | + | 0.369161i | ||||
\(622\) | − | 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 | ||||
\(627\) | 76.3729 | + | 73.7314i | 0.121807 | + | 0.117594i | ||||
\(628\) | 87.5496 | + | 50.5468i | 0.139410 | + | 0.0804885i | ||||
\(629\) | − | 7.68420i | − | 0.0122165i | ||||||
\(630\) | 439.455 | − | 356.088i | 0.697548 | − | 0.565219i | ||||
\(631\) | 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 | ||||
\(633\) | 362.986 | − | 375.990i | 0.573437 | − | 0.593981i | ||||
\(634\) | −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 | ||||||||
\(639\) | −601.257 | + | 21.1685i | −0.940935 | + | 0.0331276i | ||||
\(640\) | −261.133 | + | 295.181i | −0.408020 | + | 0.461220i | ||||
\(641\) | 633.511 | − | 365.758i | 0.988317 | − | 0.570605i | 0.0835460 | − | 0.996504i | \(-0.473375\pi\) |
0.904771 | + | 0.425899i | \(0.140042\pi\) | |||||||
\(642\) | −177.674 | − | 44.2720i | −0.276750 | − | 0.0689595i | ||||
\(643\) | − | 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 | ||||
\(645\) | 66.8797 | + | 97.2724i | 0.103690 | + | 0.150810i | ||||
\(646\) | −508.574 | + | 880.875i | −0.787266 | + | 1.36358i | ||||
\(647\) | −286.539 | − | 496.301i | −0.442874 | − | 0.767080i | 0.555028 | − | 0.831832i | \(-0.312708\pi\) |
−0.997901 | + | 0.0647521i | \(0.979374\pi\) | |||||||
\(648\) | −692.893 | + | 48.8500i | −1.06928 | + | 0.0753859i | ||||
\(649\) | −21.7307 | + | 37.6387i | −0.0334834 | + | 0.0579949i | ||||
\(650\) | 337.187 | + | 447.387i | 0.518749 | + | 0.688287i | ||||
\(651\) | −312.435 | + | 655.244i | −0.479932 | + | 1.00652i | ||||
\(652\) | 108.505i | 0.166418i | ||||||||
\(653\) | −451.271 | + | 781.625i | −0.691074 | + | 1.19698i | 0.280412 | + | 0.959880i | \(0.409529\pi\) |
−0.971486 | + | 0.237096i | \(0.923804\pi\) | |||||||
\(654\) | 339.090 | − | 351.239i | 0.518486 | − | 0.537062i | ||||
\(655\) | −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 | \(0.334855\pi\) | ||||
−0.495855 | + | 0.868405i | \(0.665145\pi\) | |||||||
\(660\) | −13.5008 | + | 1.06503i | −0.0204558 | + | 0.00161369i | ||||
\(661\) | −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 | ||||
\(663\) | −168.642 | + | 676.797i | −0.254361 | + | 1.02081i | ||||
\(664\) | −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 | ||||
\(669\) | 322.013 | + | 310.875i | 0.481334 | + | 0.464686i | ||||
\(670\) | 51.6158 | − | 253.753i | 0.0770385 | − | 0.378735i | ||||
\(671\) | − | 59.2145i | − | 0.0882481i | ||||||
\(672\) | 110.496 | − | 231.735i | 0.164429 | − | 0.344843i | ||||
\(673\) | − | 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 | ||||
\(675\) | −285.579 | − | 611.612i | −0.423081 | − | 0.906092i | ||||
\(676\) | 5.14054 | + | 8.90367i | 0.00760434 | + | 0.0131711i | ||||
\(677\) | −284.770 | + | 493.237i | −0.420636 | + | 0.728562i | −0.996002 | − | 0.0893336i | \(-0.971526\pi\) |
0.575366 | + | 0.817896i | \(0.304860\pi\) | |||||||
\(678\) | 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 | ||||
\(681\) | −268.556 | − | 66.9177i | −0.394355 | − | 0.0982639i | ||||
\(682\) | −62.5556 | + | 36.1165i | −0.0917238 | + | 0.0529567i | ||||
\(683\) | −390.284 | − | 675.992i | −0.571426 | − | 0.989740i | −0.996420 | − | 0.0845432i | \(-0.973057\pi\) |
0.424993 | − | 0.905196i | \(-0.360276\pi\) | |||||||
\(684\) | 7.47020 | + | 212.179i | 0.0109213 | + | 0.310203i | ||||
\(685\) | −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 | ||||
\(690\) | 667.137 | + | 318.058i | 0.966866 | + | 0.460953i | ||||
\(691\) | −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 | ||||||||
\(693\) | −68.6659 | + | 25.6940i | −0.0990850 | + | 0.0370765i | ||||
\(694\) | −276.599 | −0.398557 | ||||||||
\(695\) | 639.300 | + | 130.040i | 0.919856 | + | 0.187108i | ||||
\(696\) | 974.829 | + | 941.112i | 1.40062 | + | 1.35217i | ||||
\(697\) | −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 | \(0.0732227\pi\) | ||||
−0.973658 | + | 0.228013i | \(0.926777\pi\) | |||||||
\(702\) | −187.215 | − | 575.348i | −0.266688 | − | 0.819584i | ||||
\(703\) | 10.8615 | − | 6.27091i | 0.0154503 | − | 0.00892021i | ||||
\(704\) | 71.6879 | − | 41.3890i | 0.101829 | − | 0.0587912i | ||||
\(705\) | 41.0721 | + | 520.648i | 0.0582583 | + | 0.738508i | ||||
\(706\) | 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 | ||||
\(711\) | 264.504 | + | 140.542i | 0.372016 | + | 0.197668i | ||||
\(712\) | −355.753 | − | 205.394i | −0.499653 | − | 0.288475i | ||||
\(713\) | −948.544 | −1.33036 | ||||||||
\(714\) | −397.962 | − | 578.884i | −0.557370 | − | 0.810762i | ||||
\(715\) | −23.0445 | − | 68.8634i | −0.0322300 | − | 0.0963124i | ||||
\(716\) | 164.027 | + | 94.7010i | 0.229088 | + | 0.132264i | ||||
\(717\) | −90.9012 | − | 87.7571i | −0.126780 | − | 0.122395i | ||||
\(718\) | −897.691 | + | 518.282i | −1.25027 | + | 0.721842i | ||||
\(719\) | 10.4725 | + | 6.04630i | 0.0145654 | + | 0.00840932i | 0.507265 | − | 0.861790i | \(-0.330657\pi\) |
−0.492700 | + | 0.870199i | \(0.663990\pi\) | |||||||
\(720\) | 427.030 | + | 351.782i | 0.593097 | + | 0.488586i | ||||
\(721\) | 68.8180 | − | 77.7816i | 0.0954480 | − | 0.107880i | ||||
\(722\) | −1011.93 | −1.40157 | ||||||||
\(723\) | −775.288 | − | 193.183i | −1.07232 | − | 0.267197i | ||||
\(724\) | 31.5630 | + | 54.6687i | 0.0435953 | + | 0.0755092i | ||||
\(725\) | −514.388 | + | 1212.09i | −0.709500 | + | 1.67185i | ||||
\(726\) | 625.385 | + | 155.831i | 0.861412 | + | 0.214643i | ||||
\(727\) | 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 | ||||
\(732\) | 82.2546 | − | 85.2015i | 0.112370 | − | 0.116395i | ||||
\(733\) | −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 | ||||||
\(735\) | 720.223 | − | 146.640i | 0.979896 | − | 0.199511i | ||||
\(736\) | 335.464 | 0.455793 | ||||||||
\(737\) | −16.7827 | + | 29.0684i | −0.0227716 | + | 0.0394415i | ||||
\(738\) | 130.524 | − | 245.649i | 0.176862 | − | 0.332858i | ||||
\(739\) | 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 | \(-0.530540\pi\) | ||||
−0.0957979 | + | 0.995401i | \(0.530540\pi\) | |||||||
\(744\) | −862.915 | − | 215.018i | −1.15983 | − | 0.289002i | ||||
\(745\) | 594.710 | + | 526.112i | 0.798268 | + | 0.706190i | ||||
\(746\) | −333.498 | + | 192.545i | −0.447049 | + | 0.258104i | ||||
\(747\) | 22.8227 | + | 648.241i | 0.0305525 | + | 0.867793i | ||||
\(748\) | 16.8199i | 0.0224864i | ||||||||
\(749\) | −178.205 | − | 157.668i | −0.237924 | − | 0.210505i | ||||
\(750\) | −213.488 | + | 638.610i | −0.284651 | + | 0.851481i | ||||
\(751\) | −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 | ||||
\(753\) | 921.390 | + | 889.522i | 1.22363 | + | 1.18130i | ||||
\(754\) | −590.129 | + | 1022.13i | −0.782664 | + | 1.35561i | ||||
\(755\) | −76.2860 | − | 227.964i | −0.101041 | − | 0.301939i | ||||
\(756\) | −134.492 | − | 58.4133i | −0.177900 | − | 0.0772663i | ||||
\(757\) | − | 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 | ||||
\(759\) | −68.9223 | − | 66.5384i | −0.0908067 | − | 0.0876659i | ||||
\(760\) | 863.854 | − | 976.489i | 1.13665 | − | 1.28485i | ||||
\(761\) | 363.973 | + | 210.140i | 0.478283 | + | 0.276137i | 0.719701 | − | 0.694284i | \(-0.244279\pi\) |
−0.241418 | + | 0.970421i | \(0.577612\pi\) | |||||||
\(762\) | 2.97029 | − | 0.852177i | 0.00389802 | − | 0.00111834i | ||||
\(763\) | 601.637 | − | 201.292i | 0.788515 | − | 0.263817i | ||||
\(764\) | − | 185.780i | − | 0.243167i | ||||||
\(765\) | −785.151 | + | 293.848i | −1.02634 | + | 0.384115i | ||||
\(766\) | −363.481 | − | 629.568i | −0.474519 | − | 0.821891i | ||||
\(767\) | −233.039 | − | 403.636i | −0.303832 | − | 0.526252i | ||||
\(768\) | 416.247 | + | 103.719i | 0.541988 | + | 0.135050i | ||||
\(769\) | −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 | 0.626764 | − | 0.779209i | \(-0.284379\pi\) |
−0.988197 | + | 0.153189i | \(0.951046\pi\) | |||||||
\(774\) | −59.6743 | + | 112.308i | −0.0770985 | + | 0.145101i | ||||
\(775\) | −105.388 | − | 857.741i | −0.135985 | − | 1.10676i | ||||
\(776\) | − | 572.395i | − | 0.737623i | ||||||
\(777\) | 0.680674 | + | 8.63509i | 0.000876028 | + | 0.0111134i | ||||
\(778\) | − | 350.008i | − | 0.449882i | ||||||
\(779\) | −453.274 | − | 261.698i | −0.581867 | − | 0.335941i | ||||
\(780\) | 62.5000 | − | 131.096i | 0.0801282 | − | 0.168072i | ||||
\(781\) | −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 | ||||
\(786\) | 300.303 | − | 1205.19i | 0.382065 | − | 1.53331i | ||||
\(787\) | −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 | ||||
\(789\) | 4.40337 | + | 1.09722i | 0.00558095 | + | 0.00139064i | ||||
\(790\) | −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 | ||||
\(795\) | 483.828 | + | 230.665i | 0.608589 | + | 0.290145i | ||||
\(796\) | 34.6241 | − | 59.9708i | 0.0434977 | − | 0.0753402i | ||||
\(797\) | 290.985 | 0.365100 | 0.182550 | − | 0.983197i | \(-0.441565\pi\) | ||||
0.182550 | + | 0.983197i | \(0.441565\pi\) | |||||||
\(798\) | 493.479 | − | 1034.93i | 0.618394 | − | 1.29690i | ||||
\(799\) | 648.644 | 0.811820 | ||||||||
\(800\) | 37.2717 | + | 303.350i | 0.0465896 | + | 0.379187i | ||||
\(801\) | −202.292 | + | 380.718i | −0.252549 | + | 0.475303i | ||||
\(802\) | 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 | ||||||
\(807\) | 8.86890 | − | 35.5929i | 0.0109900 | − | 0.0441052i | ||||
\(808\) | −165.969 | + | 95.8220i | −0.205407 | + | 0.118592i | ||||
\(809\) | −201.885 | + | 116.559i | −0.249549 | + | 0.144077i | −0.619558 | − | 0.784951i | \(-0.712688\pi\) |
0.370009 | + | 0.929028i | \(0.379355\pi\) | |||||||
\(810\) | 442.349 | − | 577.212i | 0.546110 | − | 0.712608i | ||||
\(811\) | 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 | ||||
\(816\) | 477.262 | − | 494.361i | 0.584880 | − | 0.605834i | ||||
\(817\) | 207.232 | + | 119.646i | 0.253651 | + | 0.146445i | ||||
\(818\) | 1043.17 | 1.27527 | ||||||||
\(819\) | 129.559 | − | 775.486i | 0.158192 | − | 0.946869i | ||||
\(820\) | 63.3204 | − | 21.1896i | 0.0772199 | − | 0.0258409i | ||||
\(821\) | −681.324 | − | 393.363i | −0.829871 | − | 0.479126i | 0.0239375 | − | 0.999713i | \(-0.492380\pi\) |
−0.853808 | + | 0.520587i | \(0.825713\pi\) | |||||||
\(822\) | 104.378 | − | 108.118i | 0.126981 | − | 0.131530i | ||||
\(823\) | 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 | ||||
\(825\) | 52.5111 | − | 69.7171i | 0.0636499 | − | 0.0845056i | ||||
\(826\) | 459.988 | + | 93.5946i | 0.556886 | + | 0.113311i | ||||
\(827\) | −413.959 | −0.500555 | −0.250277 | − | 0.968174i | \(-0.580522\pi\) | ||||
−0.250277 | + | 0.968174i | \(0.580522\pi\) | |||||||
\(828\) | −6.74143 | − | 191.479i | −0.00814182 | − | 0.231255i | ||||
\(829\) | 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 | ||||
\(831\) | 358.416 | − | 1438.41i | 0.431307 | − | 1.73093i | ||||
\(832\) | 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 | ||||
\(837\) | −193.658 | + | 913.014i | −0.231371 | + | 1.09082i | ||||
\(838\) | 343.372 | + | 198.246i | 0.409752 | + | 0.236570i | ||||
\(839\) | − | 534.770i | − | 0.637389i | −0.947857 | − | 0.318695i | \(-0.896756\pi\) | ||
0.947857 | − | 0.318695i | \(-0.103244\pi\) | |||||||
\(840\) | 351.960 | + | 828.786i | 0.419000 | + | 0.986650i | ||||
\(841\) | −1933.03 | −2.29849 | ||||||||
\(842\) | −671.421 | + | 1162.94i | −0.797413 | + | 1.38116i | ||||
\(843\) | −144.734 | − | 139.728i | −0.171689 | − | 0.165751i | ||||
\(844\) | 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 | ||||||||
\(849\) | 99.2763 | − | 398.418i | 0.116933 | − | 0.469279i | ||||
\(850\) | 769.834 | + | 326.701i | 0.905687 | + | 0.384354i | ||||
\(851\) | −9.80192 | + | 5.65914i | −0.0115181 | + | 0.00664999i | ||||
\(852\) | 37.6179 | − | 150.969i | 0.0441524 | − | 0.177194i | ||||
\(853\) | 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 | ||||
\(855\) | −1056.10 | − | 869.999i | −1.23520 | − | 1.01754i | ||||
\(856\) | 145.747 | − | 252.441i | 0.170265 | − | 0.294908i | ||||
\(857\) | −666.543 | − | 1154.49i | −0.777763 | − | 1.34713i | −0.933228 | − | 0.359284i | \(-0.883021\pi\) |
0.155465 | − | 0.987841i | \(-0.450312\pi\) | |||||||
\(858\) | 54.3382 | − | 56.2850i | 0.0633313 | − | 0.0656002i | ||||
\(859\) | 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 | ||||
\(861\) | 297.878 | − | 204.780i | 0.345968 | − | 0.237840i | ||||
\(862\) | − | 642.986i | − | 0.745923i | ||||||
\(863\) | 654.750 | − | 1134.06i | 0.758690 | − | 1.31409i | −0.184829 | − | 0.982771i | \(-0.559173\pi\) |
0.943519 | − | 0.331319i | \(-0.107494\pi\) | |||||||
\(864\) | 68.4893 | − | 322.898i | 0.0792700 | − | 0.373724i | ||||
\(865\) | −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 | ||||||||
\(870\) | −1414.20 | + | 111.561i | −1.62551 | + | 0.128231i | ||||
\(871\) | −179.976 | − | 311.728i | −0.206632 | − | 0.357897i | ||||
\(872\) | 388.602 | + | 673.078i | 0.445644 | + | 0.771878i | ||||
\(873\) | −600.360 | + | 21.1369i | −0.687698 | + | 0.0242119i | ||||
\(874\) | 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 | ||||
\(879\) | −206.199 | + | 213.587i | −0.234584 | + | 0.242988i | ||||
\(880\) | −14.2599 | + | 70.1044i | −0.0162045 | + | 0.0796641i | ||||
\(881\) | − | 295.122i | − | 0.334985i | −0.985873 | − | 0.167492i | \(-0.946433\pi\) | ||
0.985873 | − | 0.167492i | \(-0.0535670\pi\) | |||||||
\(882\) | 498.486 | + | 615.267i | 0.565177 | + | 0.697582i | ||||
\(883\) | 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 | ||||
\(885\) | 241.077 | − | 505.667i | 0.272403 | − | 0.571376i | ||||
\(886\) | −344.958 | − | 597.486i | −0.389344 | − | 0.674363i | ||||
\(887\) | −530.626 | + | 919.071i | −0.598225 | + | 1.03616i | 0.394858 | + | 0.918742i | \(0.370794\pi\) |
−0.993083 | + | 0.117414i | \(0.962539\pi\) | |||||||
\(888\) | −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 | ||||
\(891\) | −78.1174 | + | 52.7559i | −0.0876739 | + | 0.0592098i | ||||
\(892\) | −100.242 | + | 57.8746i | −0.112379 | + | 0.0648818i | ||||
\(893\) | 529.344 | + | 916.852i | 0.592771 | + | 1.02671i | ||||
\(894\) | −206.833 | + | 830.069i | −0.231357 | + | 0.928488i | ||||
\(895\) | −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 | ||||
\(900\) | 172.400 | − | 27.3704i | 0.191556 | − | 0.0304115i | ||||
\(901\) | 332.851 | − | 576.515i | 0.369424 | − | 0.639861i | ||||
\(902\) | 35.9690 | 0.0398770 | ||||||||
\(903\) | −136.187 | + | 93.6235i | −0.150816 | + | 0.103681i | ||||
\(904\) | −653.928 | −0.723372 | ||||||||
\(905\) | −398.671 | − | 81.0936i | −0.440520 | − | 0.0896062i | ||||
\(906\) | 179.880 | − | 186.325i | 0.198543 | − | 0.205657i | ||||
\(907\) | −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 | \(0.0323330\pi\) | ||||
−0.994845 | + | 0.101402i | \(0.967667\pi\) | |||||||
\(912\) | 1088.26 | + | 271.168i | 1.19326 | + | 0.297333i | ||||
\(913\) | −72.6357 | + | 41.9362i | −0.0795571 | + | 0.0459323i | ||||
\(914\) | −776.053 | + | 448.054i | −0.849073 | + | 0.490212i | ||||
\(915\) | 60.0231 | + | 760.880i | 0.0655990 | + | 0.831562i | ||||
\(916\) | −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 | ||||
\(921\) | −952.530 | − | 919.584i | −1.03423 | − | 0.998463i | ||||
\(922\) | −1269.67 | − | 733.047i | −1.37709 | − | 0.795062i | ||||
\(923\) | 834.254 | 0.903850 | ||||||||
\(924\) | −1.48992 | − | 18.9013i | −0.00161247 | − | 0.0204559i | ||||
\(925\) | −6.20644 | − | 8.23483i | −0.00670966 | − | 0.00890252i | ||||
\(926\) | 550.252 | + | 317.688i | 0.594224 | + | 0.343076i | ||||
\(927\) | 62.6539 | − | 117.916i | 0.0675878 | − | 0.127202i | ||||
\(928\) | −557.627 | + | 321.946i | −0.600891 | + | 0.346925i | ||||
\(929\) | −738.216 | − | 426.209i | −0.794635 | − | 0.458783i | 0.0469566 | − | 0.998897i | \(-0.485048\pi\) |
−0.841592 | + | 0.540114i | \(0.818381\pi\) | |||||||
\(930\) | 767.202 | − | 527.491i | 0.824948 | − | 0.567194i | ||||
\(931\) | 1189.94 | − | 896.613i | 1.27813 | − | 0.963065i | ||||
\(932\) | −312.835 | −0.335660 | ||||||||
\(933\) | 16.2805 | − | 65.3373i | 0.0174496 | − | 0.0700293i | ||||
\(934\) | 228.143 | + | 395.155i | 0.244264 | + | 0.423078i | ||||
\(935\) | −81.1903 | − | 71.8252i | −0.0868345 | − | 0.0768184i | ||||
\(936\) | 962.592 | − | 33.8901i | 1.02841 | − | 0.0362074i | ||||
\(937\) | − | 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 | 0.300277 | − | 0.953852i | \(-0.402921\pi\) |
0.976199 | + | 0.216879i | \(0.0695876\pi\) | |||||||
\(942\) | −504.996 | − | 487.530i | −0.536089 | − | 0.517547i | ||||
\(943\) | 409.054 | + | 236.168i | 0.433780 | + | 0.250443i | ||||
\(944\) | 459.166i | 0.486405i | ||||||||
\(945\) | 856.281 | − | 399.760i | 0.906117 | − | 0.423027i | ||||
\(946\) | −16.4447 | −0.0173834 | ||||||||
\(947\) | −538.877 | + | 933.363i | −0.569036 | + | 0.985599i | 0.427626 | + | 0.903956i | \(0.359350\pi\) |
−0.996662 | + | 0.0816434i | \(0.973983\pi\) | |||||||
\(948\) | −53.7993 | + | 55.7267i | −0.0567503 | + | 0.0587835i | ||||
\(949\) | −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 | \(-0.411611\pi\) | ||||
0.274129 | + | 0.961693i | \(0.411611\pi\) | |||||||
\(954\) | 20.3183 | + | 577.108i | 0.0212980 | + | 0.604935i | ||||
\(955\) | 896.769 | + | 793.329i | 0.939025 | + | 0.830711i | ||||
\(956\) | 28.2973 | − | 16.3375i | 0.0295997 | − | 0.0170894i | ||||
\(957\) | 178.424 | + | 44.4589i | 0.186441 | + | 0.0464566i | ||||
\(958\) | 457.517i | 0.477576i | ||||||||
\(959\) | 185.195 | − | 61.9615i | 0.193113 | − | 0.0646105i | ||||
\(960\) | −879.203 | + | 604.497i | −0.915836 | + | 0.629684i | ||||
\(961\) | −116.961 | + | 202.582i | −0.121707 | + | 0.210803i | ||||
\(962\) | −4.62151 | − | 8.00468i | −0.00480406 | − | 0.00832088i | ||||
\(963\) | −270.157 | − | 143.546i | −0.280537 | − | 0.149061i | ||||
\(964\) | 103.312 | − | 178.942i | 0.107170 | − | 0.185625i | ||||
\(965\) | −7.61659 | + | 2.54882i | −0.00789284 | + | 0.00264126i | ||||
\(966\) | −445.337 | + | 933.966i | −0.461011 | + | 0.966838i | ||||
\(967\) | − | 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 | ||||
\(969\) | −1180.33 | + | 1222.61i | −1.21809 | + | 1.26173i | ||||
\(970\) | 448.838 | + | 397.066i | 0.462720 | + | 0.409346i | ||||
\(971\) | 1471.76 | + | 849.722i | 1.51572 | + | 0.875100i | 0.999830 | + | 0.0184437i | \(0.00587116\pi\) |
0.515888 | + | 0.856656i | \(0.327462\pi\) | |||||||
\(972\) | −185.683 | − | 32.6041i | −0.191032 | − | 0.0335433i | ||||
\(973\) | −182.109 | + | 895.009i | −0.187163 | + | 0.919845i | ||||
\(974\) | − | 300.266i | − | 0.308281i | ||||||
\(975\) | 365.915 | + | 861.504i | 0.375297 | + | 0.883594i | ||||
\(976\) | −312.798 | − | 541.783i | −0.320490 | − | 0.555105i | ||||
\(977\) | −0.666368 | − | 1.15418i | −0.000682055 | − | 0.00118135i | 0.865684 | − | 0.500591i | \(-0.166884\pi\) |
−0.866366 | + | 0.499409i | \(0.833550\pi\) | |||||||
\(978\) | 182.157 | − | 731.036i | 0.186254 | − | 0.747481i | ||||
\(979\) | −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 | 0.767010 | − | 0.641635i | \(-0.221744\pi\) |
−0.939177 | + | 0.343433i | \(0.888410\pi\) | |||||||
\(984\) | 318.592 | + | 307.573i | 0.323773 | + | 0.312574i | ||||
\(985\) | 1402.90 | + | 285.363i | 1.42426 | + | 0.289709i | ||||
\(986\) | 1761.86i | 1.78688i | ||||||||
\(987\) | −728.911 | + | 57.4575i | −0.738512 | + | 0.0582143i | ||||
\(988\) | − | 294.401i | − | 0.297977i | ||||||
\(989\) | −187.016 | − | 107.974i | −0.189096 | − | 0.109174i | ||||
\(990\) | 92.7481 | + | 15.4896i | 0.0936849 | + | 0.0156460i | ||||
\(991\) | 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 | ||||
\(996\) | −162.766 | − | 40.5574i | −0.163420 | − | 0.0407203i | ||||
\(997\) | −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 | ||||
\(999\) | 3.44597 | + | 10.5901i | 0.00344942 | + | 0.0106007i |
(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.44.14 | yes | 40 | |
3.2 | odd | 2 | inner | 105.3.o.b.44.8 | yes | 40 | |
5.4 | even | 2 | inner | 105.3.o.b.44.7 | ✓ | 40 | |
7.4 | even | 3 | inner | 105.3.o.b.74.13 | yes | 40 | |
15.14 | odd | 2 | inner | 105.3.o.b.44.13 | yes | 40 | |
21.11 | odd | 6 | inner | 105.3.o.b.74.7 | yes | 40 | |
35.4 | even | 6 | inner | 105.3.o.b.74.8 | yes | 40 | |
105.74 | odd | 6 | inner | 105.3.o.b.74.14 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.o.b.44.7 | ✓ | 40 | 5.4 | even | 2 | inner | |
105.3.o.b.44.8 | yes | 40 | 3.2 | odd | 2 | inner | |
105.3.o.b.44.13 | yes | 40 | 15.14 | odd | 2 | inner | |
105.3.o.b.44.14 | yes | 40 | 1.1 | even | 1 | trivial | |
105.3.o.b.74.7 | yes | 40 | 21.11 | odd | 6 | inner | |
105.3.o.b.74.8 | yes | 40 | 35.4 | even | 6 | inner | |
105.3.o.b.74.13 | yes | 40 | 7.4 | even | 3 | inner | |
105.3.o.b.74.14 | yes | 40 | 105.74 | odd | 6 | inner |