Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(139,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.139");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.o (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.9 | ||
Character | \(\chi\) | \(=\) | 287.139 |
Dual form | 287.3.o.a.223.10 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.875068 | + | 2.69318i | −0.437534 | + | 1.34659i | 0.452933 | + | 0.891544i | \(0.350378\pi\) |
−0.890467 | + | 0.455047i | \(0.849622\pi\) | |||||||
\(3\) | − | 3.79026i | − | 1.26342i | −0.775205 | − | 0.631710i | \(-0.782353\pi\) | ||
0.775205 | − | 0.631710i | \(-0.217647\pi\) | |||||||
\(4\) | −3.25142 | − | 2.36230i | −0.812856 | − | 0.590574i | ||||
\(5\) | 2.82818 | − | 3.89266i | 0.565637 | − | 0.778532i | −0.426393 | − | 0.904538i | \(-0.640216\pi\) |
0.992029 | + | 0.126006i | \(0.0402158\pi\) | |||||||
\(6\) | 10.2079 | + | 3.31674i | 1.70131 | + | 0.552789i | ||||
\(7\) | 6.36840 | − | 2.90576i | 0.909772 | − | 0.415109i | ||||
\(8\) | 0.0434828 | − | 0.0315921i | 0.00543536 | − | 0.00394902i | ||||
\(9\) | −5.36606 | −0.596229 | ||||||||
\(10\) | 8.00880 | + | 11.0232i | 0.800880 | + | 1.10232i | ||||
\(11\) | 0.157909 | − | 0.114728i | 0.0143554 | − | 0.0104298i | −0.580584 | − | 0.814200i | \(-0.697176\pi\) |
0.594940 | + | 0.803770i | \(0.297176\pi\) | |||||||
\(12\) | −8.95372 | + | 12.3237i | −0.746143 | + | 1.02698i | ||||
\(13\) | −21.1667 | − | 6.87748i | −1.62821 | − | 0.529037i | −0.654349 | − | 0.756192i | \(-0.727057\pi\) |
−0.973859 | + | 0.227155i | \(0.927057\pi\) | |||||||
\(14\) | 2.25296 | + | 19.6940i | 0.160925 | + | 1.40672i | ||||
\(15\) | −14.7542 | − | 10.7196i | −0.983613 | − | 0.714637i | ||||
\(16\) | −4.92070 | − | 15.1444i | −0.307544 | − | 0.946522i | ||||
\(17\) | −5.76370 | − | 7.93305i | −0.339041 | − | 0.466650i | 0.605120 | − | 0.796134i | \(-0.293125\pi\) |
−0.944161 | + | 0.329484i | \(0.893125\pi\) | |||||||
\(18\) | 4.69567 | − | 14.4518i | 0.260871 | − | 0.802877i | ||||
\(19\) | 11.4824 | − | 3.73085i | 0.604336 | − | 0.196361i | 0.00916258 | − | 0.999958i | \(-0.497083\pi\) |
0.595173 | + | 0.803597i | \(0.297083\pi\) | |||||||
\(20\) | −18.3912 | + | 5.97568i | −0.919562 | + | 0.298784i | ||||
\(21\) | −11.0136 | − | 24.1379i | −0.524456 | − | 1.14942i | ||||
\(22\) | 0.170801 | + | 0.525673i | 0.00776370 | + | 0.0238942i | ||||
\(23\) | 2.10176 | − | 6.46854i | 0.0913807 | − | 0.281241i | −0.894913 | − | 0.446241i | \(-0.852762\pi\) |
0.986294 | + | 0.165000i | \(0.0527625\pi\) | |||||||
\(24\) | −0.119742 | − | 0.164811i | −0.00498927 | − | 0.00686713i | ||||
\(25\) | 0.571237 | + | 1.75809i | 0.0228495 | + | 0.0703235i | ||||
\(26\) | 37.0446 | − | 50.9875i | 1.42479 | − | 1.96106i | ||||
\(27\) | − | 13.7736i | − | 0.510132i | ||||||
\(28\) | −27.5706 | − | 5.59621i | −0.984666 | − | 0.199865i | ||||
\(29\) | 9.56014 | + | 6.94585i | 0.329660 | + | 0.239512i | 0.740286 | − | 0.672292i | \(-0.234690\pi\) |
−0.410626 | + | 0.911804i | \(0.634690\pi\) | |||||||
\(30\) | 41.7806 | − | 30.3554i | 1.39269 | − | 1.01185i | ||||
\(31\) | 5.71623 | + | 7.86772i | 0.184395 | + | 0.253797i | 0.891200 | − | 0.453611i | \(-0.149864\pi\) |
−0.706805 | + | 0.707408i | \(0.749864\pi\) | |||||||
\(32\) | 45.3075 | 1.41586 | ||||||||
\(33\) | −0.434848 | − | 0.598516i | −0.0131772 | − | 0.0181369i | ||||
\(34\) | 26.4088 | − | 8.58074i | 0.776729 | − | 0.252375i | ||||
\(35\) | 6.69988 | − | 33.0081i | 0.191425 | − | 0.943087i | ||||
\(36\) | 17.4473 | + | 12.6762i | 0.484648 | + | 0.352118i | ||||
\(37\) | −46.4563 | − | 33.7525i | −1.25558 | − | 0.912230i | −0.257045 | − | 0.966399i | \(-0.582749\pi\) |
−0.998532 | + | 0.0541695i | \(0.982749\pi\) | |||||||
\(38\) | 34.1889i | 0.899708i | ||||||||
\(39\) | −26.0674 | + | 80.2273i | −0.668396 | + | 2.05711i | ||||
\(40\) | − | 0.258612i | − | 0.00646531i | ||||||
\(41\) | −32.6193 | − | 24.8392i | −0.795592 | − | 0.605833i | ||||
\(42\) | 74.6454 | − | 8.53929i | 1.77727 | − | 0.203316i | ||||
\(43\) | 9.06984 | − | 27.9141i | 0.210927 | − | 0.649165i | −0.788491 | − | 0.615046i | \(-0.789137\pi\) |
0.999418 | − | 0.0341192i | \(-0.0108626\pi\) | |||||||
\(44\) | −0.784450 | −0.0178284 | ||||||||
\(45\) | −15.1762 | + | 20.8883i | −0.337249 | + | 0.464184i | ||||
\(46\) | 15.5818 | + | 11.3208i | 0.338734 | + | 0.246105i | ||||
\(47\) | −4.47097 | − | 1.45271i | −0.0951270 | − | 0.0309086i | 0.261067 | − | 0.965321i | \(-0.415926\pi\) |
−0.356194 | + | 0.934412i | \(0.615926\pi\) | |||||||
\(48\) | −57.4010 | + | 18.6507i | −1.19585 | + | 0.388557i | ||||
\(49\) | 32.1131 | − | 37.0101i | 0.655370 | − | 0.755308i | ||||
\(50\) | −5.23472 | −0.104694 | ||||||||
\(51\) | −30.0683 | + | 21.8459i | −0.589575 | + | 0.428351i | ||||
\(52\) | 52.5753 | + | 72.3636i | 1.01106 | + | 1.39161i | ||||
\(53\) | 78.8534 | + | 57.2904i | 1.48780 | + | 1.08095i | 0.974937 | + | 0.222480i | \(0.0714153\pi\) |
0.512864 | + | 0.858470i | \(0.328585\pi\) | |||||||
\(54\) | 37.0947 | + | 12.0528i | 0.686939 | + | 0.223200i | ||||
\(55\) | − | 0.939158i | − | 0.0170756i | ||||||
\(56\) | 0.185117 | − | 0.327542i | 0.00330566 | − | 0.00584897i | ||||
\(57\) | −14.1409 | − | 43.5212i | −0.248086 | − | 0.763530i | ||||
\(58\) | −27.0722 | + | 19.6691i | −0.466762 | + | 0.339123i | ||||
\(59\) | 46.0514 | + | 14.9630i | 0.780533 | + | 0.253610i | 0.672068 | − | 0.740490i | \(-0.265406\pi\) |
0.108465 | + | 0.994100i | \(0.465406\pi\) | |||||||
\(60\) | 22.6494 | + | 69.7076i | 0.377489 | + | 1.16179i | ||||
\(61\) | 76.8610 | − | 24.9737i | 1.26002 | − | 0.409404i | 0.398516 | − | 0.917161i | \(-0.369525\pi\) |
0.861500 | + | 0.507757i | \(0.169525\pi\) | |||||||
\(62\) | −26.1913 | + | 8.51007i | −0.422440 | + | 0.137259i | ||||
\(63\) | −34.1733 | + | 15.5925i | −0.542433 | + | 0.247500i | ||||
\(64\) | −19.9643 | + | 61.4439i | −0.311943 | + | 0.960061i | ||||
\(65\) | −86.6350 | + | 62.9440i | −1.33285 | + | 0.968370i | ||||
\(66\) | 1.99244 | − | 0.647382i | 0.0301884 | − | 0.00980881i | ||||
\(67\) | −55.1310 | − | 40.0551i | −0.822851 | − | 0.597837i | 0.0946764 | − | 0.995508i | \(-0.469818\pi\) |
−0.917528 | + | 0.397672i | \(0.869818\pi\) | |||||||
\(68\) | 39.4093i | 0.579548i | ||||||||
\(69\) | −24.5174 | − | 7.96620i | −0.355325 | − | 0.115452i | ||||
\(70\) | 83.0339 | + | 46.9283i | 1.18620 | + | 0.670404i | ||||
\(71\) | 19.2680 | − | 13.9990i | 0.271380 | − | 0.197169i | −0.443769 | − | 0.896141i | \(-0.646359\pi\) |
0.715149 | + | 0.698972i | \(0.246359\pi\) | |||||||
\(72\) | −0.233332 | + | 0.169525i | −0.00324072 | + | 0.00235452i | ||||
\(73\) | 56.7077i | 0.776818i | 0.921487 | + | 0.388409i | \(0.126975\pi\) | ||||
−0.921487 | + | 0.388409i | \(0.873025\pi\) | |||||||
\(74\) | 131.554 | − | 95.5797i | 1.77776 | − | 1.29162i | ||||
\(75\) | 6.66360 | − | 2.16514i | 0.0888480 | − | 0.0288685i | ||||
\(76\) | −46.1475 | − | 14.9942i | −0.607203 | − | 0.197292i | ||||
\(77\) | 0.672258 | − | 1.18948i | 0.00873062 | − | 0.0154478i | ||||
\(78\) | −193.256 | − | 140.409i | −2.47764 | − | 1.80011i | ||||
\(79\) | −31.4207 | −0.397730 | −0.198865 | − | 0.980027i | \(-0.563726\pi\) | ||||
−0.198865 | + | 0.980027i | \(0.563726\pi\) | |||||||
\(80\) | −72.8685 | − | 23.6764i | −0.910856 | − | 0.295955i | ||||
\(81\) | −100.500 | −1.24074 | ||||||||
\(82\) | 95.4405 | − | 66.1137i | 1.16391 | − | 0.806265i | ||||
\(83\) | 31.9806i | 0.385308i | 0.981267 | + | 0.192654i | \(0.0617095\pi\) | ||||
−0.981267 | + | 0.192654i | \(0.938290\pi\) | |||||||
\(84\) | −21.2111 | + | 104.500i | −0.252513 | + | 1.24405i | ||||
\(85\) | −47.1815 | −0.555076 | ||||||||
\(86\) | 67.2411 | + | 48.8535i | 0.781873 | + | 0.568064i | ||||
\(87\) | 26.3266 | − | 36.2354i | 0.302604 | − | 0.416499i | ||||
\(88\) | 0.00324184 | − | 0.00997737i | 3.68391e−5 | − | 0.000113379i | ||||
\(89\) | 112.173 | − | 36.4472i | 1.26037 | − | 0.409519i | 0.398743 | − | 0.917063i | \(-0.369447\pi\) |
0.861626 | + | 0.507544i | \(0.169447\pi\) | |||||||
\(90\) | −42.9757 | − | 59.1510i | −0.477508 | − | 0.657233i | ||||
\(91\) | −154.782 | + | 17.7068i | −1.70091 | + | 0.194580i | ||||
\(92\) | −22.1143 | + | 16.0670i | −0.240373 | + | 0.174641i | ||||
\(93\) | 29.8207 | − | 21.6660i | 0.320652 | − | 0.232968i | ||||
\(94\) | 7.82480 | − | 10.7699i | 0.0832426 | − | 0.114574i | ||||
\(95\) | 17.9513 | − | 55.2486i | 0.188962 | − | 0.581564i | ||||
\(96\) | − | 171.727i | − | 1.78882i | ||||||
\(97\) | 42.9072 | − | 59.0567i | 0.442342 | − | 0.608832i | −0.528388 | − | 0.849003i | \(-0.677203\pi\) |
0.970731 | + | 0.240171i | \(0.0772035\pi\) | |||||||
\(98\) | 71.5738 | + | 118.873i | 0.730345 | + | 1.21299i | ||||
\(99\) | −0.847350 | + | 0.615636i | −0.00855909 | + | 0.00621854i | ||||
\(100\) | 2.29579 | − | 7.06571i | 0.0229579 | − | 0.0706571i | ||||
\(101\) | 6.21728 | − | 2.02012i | 0.0615572 | − | 0.0200011i | −0.278077 | − | 0.960559i | \(-0.589697\pi\) |
0.339634 | + | 0.940558i | \(0.389697\pi\) | |||||||
\(102\) | −32.5232 | − | 100.096i | −0.318855 | − | 0.981335i | ||||
\(103\) | −123.481 | + | 40.1213i | −1.19884 | + | 0.389527i | −0.839335 | − | 0.543615i | \(-0.817055\pi\) |
−0.359507 | + | 0.933142i | \(0.617055\pi\) | |||||||
\(104\) | −1.13766 | + | 0.369649i | −0.0109391 | + | 0.00355432i | ||||
\(105\) | −125.109 | − | 25.3943i | −1.19152 | − | 0.241850i | ||||
\(106\) | −223.296 | + | 162.234i | −2.10656 | + | 1.53051i | ||||
\(107\) | 19.7481 | + | 60.7785i | 0.184562 | + | 0.568023i | 0.999941 | − | 0.0109047i | \(-0.00347115\pi\) |
−0.815379 | + | 0.578928i | \(0.803471\pi\) | |||||||
\(108\) | −32.5372 | + | 44.7837i | −0.301271 | + | 0.414664i | ||||
\(109\) | −86.9867 | −0.798043 | −0.399022 | − | 0.916942i | \(-0.630650\pi\) | ||||
−0.399022 | + | 0.916942i | \(0.630650\pi\) | |||||||
\(110\) | 2.52932 | + | 0.821827i | 0.0229938 | + | 0.00747115i | ||||
\(111\) | −127.931 | + | 176.082i | −1.15253 | + | 1.58632i | ||||
\(112\) | −75.3429 | − | 82.1470i | −0.672704 | − | 0.733455i | ||||
\(113\) | −48.2601 | + | 35.0630i | −0.427081 | + | 0.310292i | −0.780481 | − | 0.625180i | \(-0.785026\pi\) |
0.353400 | + | 0.935472i | \(0.385026\pi\) | |||||||
\(114\) | 129.585 | 1.13671 | ||||||||
\(115\) | −19.2357 | − | 26.4756i | −0.167267 | − | 0.230223i | ||||
\(116\) | −14.6759 | − | 45.1678i | −0.126516 | − | 0.389377i | ||||
\(117\) | 113.582 | + | 36.9050i | 0.970785 | + | 0.315427i | ||||
\(118\) | −80.5963 | + | 110.931i | −0.683019 | + | 0.940095i | ||||
\(119\) | −59.7571 | − | 33.7729i | −0.502161 | − | 0.283806i | ||||
\(120\) | −0.980208 | −0.00816840 | ||||||||
\(121\) | −37.3793 | + | 115.042i | −0.308920 | + | 0.950757i | ||||
\(122\) | 228.854i | 1.87586i | ||||||||
\(123\) | −94.1468 | + | 123.635i | −0.765421 | + | 1.00517i | ||||
\(124\) | − | 39.0847i | − | 0.315199i | ||||||
\(125\) | 122.862 | + | 39.9202i | 0.982893 | + | 0.319361i | ||||
\(126\) | −12.0895 | − | 105.679i | −0.0959484 | − | 0.838725i | ||||
\(127\) | 147.379 | + | 107.077i | 1.16046 | + | 0.843125i | 0.989836 | − | 0.142211i | \(-0.0454211\pi\) |
0.170626 | + | 0.985336i | \(0.445421\pi\) | |||||||
\(128\) | −1.39144 | − | 1.01094i | −0.0108706 | − | 0.00789794i | ||||
\(129\) | −105.802 | − | 34.3771i | −0.820168 | − | 0.266489i | ||||
\(130\) | −93.7083 | − | 288.404i | −0.720833 | − | 2.21849i | ||||
\(131\) | 71.7755 | + | 98.7905i | 0.547904 | + | 0.754126i | 0.989726 | − | 0.142977i | \(-0.0456676\pi\) |
−0.441822 | + | 0.897103i | \(0.645668\pi\) | |||||||
\(132\) | 2.97327i | 0.0225248i | ||||||||
\(133\) | 62.2835 | − | 57.1246i | 0.468297 | − | 0.429508i | ||||
\(134\) | 156.119 | − | 113.427i | 1.16507 | − | 0.846471i | ||||
\(135\) | −53.6158 | − | 38.9542i | −0.397154 | − | 0.288549i | ||||
\(136\) | −0.501244 | − | 0.162864i | −0.00368562 | − | 0.00119753i | ||||
\(137\) | 158.524 | 1.15711 | 0.578556 | − | 0.815642i | \(-0.303616\pi\) | ||||
0.578556 | + | 0.815642i | \(0.303616\pi\) | |||||||
\(138\) | 42.9089 | − | 59.0590i | 0.310934 | − | 0.427964i | ||||
\(139\) | −61.4163 | + | 19.9554i | −0.441844 | + | 0.143564i | −0.521486 | − | 0.853260i | \(-0.674622\pi\) |
0.0796422 | + | 0.996824i | \(0.474622\pi\) | |||||||
\(140\) | −99.7590 | + | 91.4961i | −0.712564 | + | 0.653543i | ||||
\(141\) | −5.50613 | + | 16.9461i | −0.0390506 | + | 0.120185i | ||||
\(142\) | 20.8411 | + | 64.1422i | 0.146768 | + | 0.451706i | ||||
\(143\) | −4.13145 | + | 1.34239i | −0.0288913 | + | 0.00938734i | ||||
\(144\) | 26.4048 | + | 81.2656i | 0.183367 | + | 0.564344i | ||||
\(145\) | 54.0757 | − | 17.5703i | 0.372936 | − | 0.121174i | ||||
\(146\) | −152.724 | − | 49.6231i | −1.04606 | − | 0.339884i | ||||
\(147\) | −140.278 | − | 121.717i | −0.954271 | − | 0.828007i | ||||
\(148\) | 71.3158 | + | 219.487i | 0.481863 | + | 1.48302i | ||||
\(149\) | 202.963 | + | 147.461i | 1.36216 | + | 0.989671i | 0.998304 | + | 0.0582171i | \(0.0185416\pi\) |
0.363861 | + | 0.931453i | \(0.381458\pi\) | |||||||
\(150\) | 19.8409i | 0.132273i | ||||||||
\(151\) | 18.9396 | − | 58.2900i | 0.125428 | − | 0.386026i | −0.868551 | − | 0.495599i | \(-0.834948\pi\) |
0.993979 | + | 0.109573i | \(0.0349484\pi\) | |||||||
\(152\) | 0.381421 | − | 0.524981i | 0.00250935 | − | 0.00345382i | ||||
\(153\) | 30.9284 | + | 42.5693i | 0.202146 | + | 0.278230i | ||||
\(154\) | 2.61521 | + | 2.85139i | 0.0169819 | + | 0.0185155i | ||||
\(155\) | 46.7929 | 0.301890 | ||||||||
\(156\) | 274.277 | − | 199.274i | 1.75819 | − | 1.27740i | ||||
\(157\) | 162.520 | − | 52.8061i | 1.03516 | − | 0.336345i | 0.258333 | − | 0.966056i | \(-0.416827\pi\) |
0.776829 | + | 0.629711i | \(0.216827\pi\) | |||||||
\(158\) | 27.4952 | − | 84.6216i | 0.174020 | − | 0.535580i | ||||
\(159\) | 217.145 | − | 298.875i | 1.36569 | − | 1.87972i | ||||
\(160\) | 128.138 | − | 176.367i | 0.800862 | − | 1.10229i | ||||
\(161\) | −5.41119 | − | 47.3015i | −0.0336099 | − | 0.293798i | ||||
\(162\) | 87.9443 | − | 270.665i | 0.542866 | − | 1.67077i | ||||
\(163\) | −274.644 | −1.68494 | −0.842468 | − | 0.538747i | \(-0.818898\pi\) | ||||
−0.842468 | + | 0.538747i | \(0.818898\pi\) | |||||||
\(164\) | 47.3816 | + | 157.819i | 0.288912 | + | 0.962311i | ||||
\(165\) | −3.55965 | −0.0215736 | ||||||||
\(166\) | −86.1296 | − | 27.9852i | −0.518853 | − | 0.168585i | ||||
\(167\) | 254.727i | 1.52531i | 0.646804 | + | 0.762656i | \(0.276105\pi\) | ||||
−0.646804 | + | 0.762656i | \(0.723895\pi\) | |||||||
\(168\) | −1.24147 | − | 0.701642i | −0.00738970 | − | 0.00417644i | ||||
\(169\) | 264.006 | + | 191.811i | 1.56216 | + | 1.13498i | ||||
\(170\) | 41.2870 | − | 127.068i | 0.242865 | − | 0.747461i | ||||
\(171\) | −61.6152 | + | 20.0200i | −0.360323 | + | 0.117076i | ||||
\(172\) | −95.4313 | + | 69.3349i | −0.554833 | + | 0.403110i | ||||
\(173\) | − | 278.084i | − | 1.60742i | −0.595020 | − | 0.803711i | \(-0.702856\pi\) | ||
0.595020 | − | 0.803711i | \(-0.297144\pi\) | |||||||
\(174\) | 74.5510 | + | 102.611i | 0.428454 | + | 0.589717i | ||||
\(175\) | 8.74644 | + | 9.53633i | 0.0499797 | + | 0.0544933i | ||||
\(176\) | −2.51450 | − | 1.82689i | −0.0142869 | − | 0.0103801i | ||||
\(177\) | 56.7137 | − | 174.547i | 0.320416 | − | 0.986140i | ||||
\(178\) | 333.996i | 1.87638i | ||||||||
\(179\) | 21.8896 | + | 15.9038i | 0.122289 | + | 0.0888478i | 0.647248 | − | 0.762279i | \(-0.275920\pi\) |
−0.524960 | + | 0.851127i | \(0.675920\pi\) | |||||||
\(180\) | 98.6886 | − | 32.0659i | 0.548270 | − | 0.178144i | ||||
\(181\) | 56.0313 | + | 77.1205i | 0.309565 | + | 0.426080i | 0.935246 | − | 0.353999i | \(-0.115179\pi\) |
−0.625680 | + | 0.780080i | \(0.715179\pi\) | |||||||
\(182\) | 87.7575 | − | 432.352i | 0.482184 | − | 2.37556i | ||||
\(183\) | −94.6566 | − | 291.323i | −0.517249 | − | 1.59193i | ||||
\(184\) | −0.112965 | − | 0.347669i | −0.000613938 | − | 0.00188951i | ||||
\(185\) | −262.774 | + | 85.3805i | −1.42040 | + | 0.461516i | ||||
\(186\) | 32.2554 | + | 99.2718i | 0.173416 | + | 0.533719i | ||||
\(187\) | −1.82028 | − | 0.591445i | −0.00973412 | − | 0.00316281i | ||||
\(188\) | 11.1053 | + | 15.2851i | 0.0590707 | + | 0.0813038i | ||||
\(189\) | −40.0227 | − | 87.7156i | −0.211760 | − | 0.464104i | ||||
\(190\) | 133.086 | + | 96.6925i | 0.700452 | + | 0.508908i | ||||
\(191\) | 129.229 | 0.676594 | 0.338297 | − | 0.941039i | \(-0.390149\pi\) | ||||
0.338297 | + | 0.941039i | \(0.390149\pi\) | |||||||
\(192\) | 232.888 | + | 75.6700i | 1.21296 | + | 0.394114i | ||||
\(193\) | 227.385 | + | 165.205i | 1.17816 | + | 0.855983i | 0.991963 | − | 0.126529i | \(-0.0403837\pi\) |
0.186197 | + | 0.982512i | \(0.440384\pi\) | |||||||
\(194\) | 121.504 | + | 167.236i | 0.626308 | + | 0.862039i | ||||
\(195\) | 238.574 | + | 328.369i | 1.22346 | + | 1.68394i | ||||
\(196\) | −191.842 | + | 44.4748i | −0.978787 | + | 0.226912i | ||||
\(197\) | 85.6105 | − | 62.1996i | 0.434571 | − | 0.315734i | −0.348903 | − | 0.937159i | \(-0.613446\pi\) |
0.783474 | + | 0.621425i | \(0.213446\pi\) | |||||||
\(198\) | −0.916531 | − | 2.82079i | −0.00462894 | − | 0.0142464i | ||||
\(199\) | −9.79220 | − | 3.18168i | −0.0492070 | − | 0.0159883i | 0.284310 | − | 0.958732i | \(-0.408235\pi\) |
−0.333517 | + | 0.942744i | \(0.608235\pi\) | |||||||
\(200\) | 0.0803807 | + | 0.0584000i | 0.000401904 | + | 0.000292000i | ||||
\(201\) | −151.819 | + | 208.961i | −0.755318 | + | 1.03961i | ||||
\(202\) | 18.5120i | 0.0916436i | ||||||||
\(203\) | 81.0658 | + | 16.4545i | 0.399339 | + | 0.0810566i | ||||
\(204\) | 149.371 | 0.732213 | ||||||||
\(205\) | −188.944 | + | 56.7261i | −0.921677 | + | 0.276713i | ||||
\(206\) | − | 367.665i | − | 1.78478i | ||||||
\(207\) | −11.2782 | + | 34.7106i | −0.0544838 | + | 0.167684i | ||||
\(208\) | 354.398i | 1.70384i | ||||||||
\(209\) | 1.38514 | − | 1.90648i | 0.00662747 | − | 0.00912192i | ||||
\(210\) | 177.870 | − | 314.720i | 0.847002 | − | 1.49867i | ||||
\(211\) | −51.3711 | + | 158.104i | −0.243465 | + | 0.749308i | 0.752420 | + | 0.658683i | \(0.228886\pi\) |
−0.995885 | + | 0.0906245i | \(0.971114\pi\) | |||||||
\(212\) | −121.049 | − | 372.551i | −0.570986 | − | 1.75731i | ||||
\(213\) | −53.0598 | − | 73.0305i | −0.249107 | − | 0.342866i | ||||
\(214\) | −180.969 | −0.845648 | ||||||||
\(215\) | −83.0090 | − | 114.252i | −0.386088 | − | 0.531405i | ||||
\(216\) | −0.435136 | − | 0.598914i | −0.00201452 | − | 0.00277275i | ||||
\(217\) | 59.2650 | + | 33.4948i | 0.273110 | + | 0.154354i | ||||
\(218\) | 76.1193 | − | 234.271i | 0.349171 | − | 1.07464i | ||||
\(219\) | 214.937 | 0.981447 | ||||||||
\(220\) | −2.21857 | + | 3.05360i | −0.0100844 | + | 0.0138800i | ||||
\(221\) | 67.4391 | + | 207.556i | 0.305154 | + | 0.939169i | ||||
\(222\) | −362.272 | − | 498.624i | −1.63185 | − | 2.24606i | ||||
\(223\) | −390.893 | − | 127.009i | −1.75288 | − | 0.569546i | −0.756459 | − | 0.654041i | \(-0.773072\pi\) |
−0.996424 | + | 0.0844946i | \(0.973072\pi\) | |||||||
\(224\) | 288.536 | − | 131.653i | 1.28811 | − | 0.587735i | ||||
\(225\) | −3.06529 | − | 9.43400i | −0.0136235 | − | 0.0419289i | ||||
\(226\) | −52.2003 | − | 160.656i | −0.230975 | − | 0.710867i | ||||
\(227\) | 60.0254 | − | 19.5034i | 0.264429 | − | 0.0859182i | −0.173802 | − | 0.984781i | \(-0.555605\pi\) |
0.438231 | + | 0.898862i | \(0.355605\pi\) | |||||||
\(228\) | −56.8320 | + | 174.911i | −0.249263 | + | 0.767153i | ||||
\(229\) | −31.5012 | − | 43.3576i | −0.137560 | − | 0.189335i | 0.734679 | − | 0.678415i | \(-0.237333\pi\) |
−0.872239 | + | 0.489080i | \(0.837333\pi\) | |||||||
\(230\) | 88.1363 | − | 28.6372i | 0.383201 | − | 0.124510i | ||||
\(231\) | −4.50843 | − | 2.54803i | −0.0195170 | − | 0.0110304i | ||||
\(232\) | 0.635136 | 0.00273766 | ||||||||
\(233\) | 91.7908 | − | 282.503i | 0.393952 | − | 1.21246i | −0.535823 | − | 0.844331i | \(-0.679998\pi\) |
0.929775 | − | 0.368129i | \(-0.120002\pi\) | |||||||
\(234\) | −198.784 | + | 273.602i | −0.849503 | + | 1.16924i | ||||
\(235\) | −18.2996 | + | 13.2954i | −0.0778707 | + | 0.0565764i | ||||
\(236\) | −114.386 | − | 157.438i | −0.484685 | − | 0.667111i | ||||
\(237\) | 119.093i | 0.502500i | ||||||||
\(238\) | 143.248 | − | 131.383i | 0.601884 | − | 0.552030i | ||||
\(239\) | 85.5177 | + | 263.196i | 0.357814 | + | 1.10124i | 0.954360 | + | 0.298660i | \(0.0965397\pi\) |
−0.596545 | + | 0.802580i | \(0.703460\pi\) | |||||||
\(240\) | −89.7397 | + | 276.190i | −0.373916 | + | 1.15079i | ||||
\(241\) | −16.3298 | + | 22.4760i | −0.0677584 | + | 0.0932615i | −0.841551 | − | 0.540177i | \(-0.818357\pi\) |
0.773793 | + | 0.633439i | \(0.218357\pi\) | |||||||
\(242\) | −277.119 | − | 201.339i | −1.14512 | − | 0.831977i | ||||
\(243\) | 256.959i | 1.05744i | ||||||||
\(244\) | −308.903 | − | 100.369i | −1.26600 | − | 0.411347i | ||||
\(245\) | −53.2460 | − | 229.677i | −0.217330 | − | 0.937457i | ||||
\(246\) | −250.588 | − | 361.744i | −1.01865 | − | 1.47050i | ||||
\(247\) | −268.703 | −1.08787 | ||||||||
\(248\) | 0.497116 | + | 0.161523i | 0.00200450 | + | 0.000651301i | ||||
\(249\) | 121.215 | 0.486806 | ||||||||
\(250\) | −215.025 | + | 295.956i | −0.860099 | + | 1.18382i | ||||
\(251\) | 278.580 | − | 383.432i | 1.10988 | − | 1.52762i | 0.288286 | − | 0.957544i | \(-0.406915\pi\) |
0.821594 | − | 0.570074i | \(-0.193085\pi\) | |||||||
\(252\) | 147.946 | + | 30.0296i | 0.587087 | + | 0.119165i | ||||
\(253\) | −0.410234 | − | 1.26257i | −0.00162148 | − | 0.00499040i | ||||
\(254\) | −417.344 | + | 303.218i | −1.64309 | + | 1.19377i | ||||
\(255\) | 178.830i | 0.701294i | ||||||||
\(256\) | −205.129 | + | 149.035i | −0.801285 | + | 0.582167i | ||||
\(257\) | −109.398 | − | 150.574i | −0.425675 | − | 0.585891i | 0.541279 | − | 0.840843i | \(-0.317940\pi\) |
−0.966954 | + | 0.254952i | \(0.917940\pi\) | |||||||
\(258\) | 185.167 | − | 254.861i | 0.717703 | − | 0.987834i | ||||
\(259\) | −393.929 | − | 79.9586i | −1.52096 | − | 0.308721i | ||||
\(260\) | 430.380 | 1.65531 | ||||||||
\(261\) | −51.3003 | − | 37.2719i | −0.196553 | − | 0.142804i | ||||
\(262\) | −328.869 | + | 106.856i | −1.25523 | + | 0.407848i | ||||
\(263\) | −310.936 | + | 225.908i | −1.18226 | + | 0.858966i | −0.992425 | − | 0.122850i | \(-0.960797\pi\) |
−0.189839 | + | 0.981815i | \(0.560797\pi\) | |||||||
\(264\) | −0.0378168 | − | 0.0122874i | −0.000143246 | − | 4.65433e-5i | ||||
\(265\) | 446.024 | − | 144.922i | 1.68311 | − | 0.546876i | ||||
\(266\) | 99.3447 | + | 217.729i | 0.373476 | + | 0.818529i | ||||
\(267\) | −138.144 | − | 425.164i | −0.517394 | − | 1.59237i | ||||
\(268\) | 84.6324 | + | 260.472i | 0.315793 | + | 0.971910i | ||||
\(269\) | −384.424 | − | 124.907i | −1.42909 | − | 0.464338i | −0.510609 | − | 0.859813i | \(-0.670580\pi\) |
−0.918477 | + | 0.395475i | \(0.870580\pi\) | |||||||
\(270\) | 151.828 | − | 110.310i | 0.562327 | − | 0.408554i | ||||
\(271\) | 84.7195 | − | 27.5270i | 0.312618 | − | 0.101576i | −0.148506 | − | 0.988912i | \(-0.547446\pi\) |
0.461124 | + | 0.887336i | \(0.347446\pi\) | |||||||
\(272\) | −91.7795 | + | 126.324i | −0.337425 | + | 0.464425i | ||||
\(273\) | 67.1133 | + | 586.665i | 0.245836 | + | 2.14896i | ||||
\(274\) | −138.720 | + | 426.935i | −0.506276 | + | 1.55816i | ||||
\(275\) | 0.291905 | + | 0.212081i | 0.00106147 | + | 0.000771204i | ||||
\(276\) | 60.8980 | + | 83.8189i | 0.220645 | + | 0.303692i | ||||
\(277\) | 260.286 | − | 189.109i | 0.939661 | − | 0.682703i | −0.00867833 | − | 0.999962i | \(-0.502762\pi\) |
0.948339 | + | 0.317259i | \(0.102762\pi\) | |||||||
\(278\) | − | 182.868i | − | 0.657797i | ||||||
\(279\) | −30.6737 | − | 42.2187i | −0.109941 | − | 0.151321i | ||||
\(280\) | −0.751465 | − | 1.64695i | −0.00268380 | − | 0.00588196i | ||||
\(281\) | −24.3795 | + | 75.0323i | −0.0867597 | + | 0.267019i | −0.985019 | − | 0.172448i | \(-0.944832\pi\) |
0.898259 | + | 0.439466i | \(0.144832\pi\) | |||||||
\(282\) | −40.8208 | − | 29.6580i | −0.144755 | − | 0.105170i | ||||
\(283\) | 73.8170 | − | 101.600i | 0.260837 | − | 0.359012i | −0.658432 | − | 0.752640i | \(-0.728780\pi\) |
0.919270 | + | 0.393628i | \(0.128780\pi\) | |||||||
\(284\) | −95.7181 | −0.337035 | ||||||||
\(285\) | −209.406 | − | 68.0402i | −0.734759 | − | 0.238738i | ||||
\(286\) | − | 12.3014i | − | 0.0430120i | ||||||
\(287\) | −279.909 | − | 63.4020i | −0.975294 | − | 0.220913i | ||||
\(288\) | −243.123 | −0.844176 | ||||||||
\(289\) | 59.5928 | − | 183.408i | 0.206204 | − | 0.634629i | ||||
\(290\) | 161.011i | 0.555210i | ||||||||
\(291\) | −223.840 | − | 162.629i | −0.769210 | − | 0.558864i | ||||
\(292\) | 133.960 | − | 184.381i | 0.458769 | − | 0.631441i | ||||
\(293\) | 162.927 | + | 52.9381i | 0.556064 | + | 0.180676i | 0.573550 | − | 0.819171i | \(-0.305566\pi\) |
−0.0174852 | + | 0.999847i | \(0.505566\pi\) | |||||||
\(294\) | 450.559 | − | 271.283i | 1.53251 | − | 0.922732i | ||||
\(295\) | 188.488 | − | 136.944i | 0.638942 | − | 0.464218i | ||||
\(296\) | −3.08637 | −0.0104269 | ||||||||
\(297\) | −1.58021 | − | 2.17497i | −0.00532057 | − | 0.00732313i | ||||
\(298\) | −574.745 | + | 417.577i | −1.92868 | + | 1.40126i | ||||
\(299\) | −88.9745 | + | 122.463i | −0.297573 | + | 0.409575i | ||||
\(300\) | −26.7809 | − | 8.70164i | −0.0892696 | − | 0.0290055i | ||||
\(301\) | −23.3513 | − | 204.123i | −0.0775790 | − | 0.678150i | ||||
\(302\) | 140.412 | + | 102.015i | 0.464941 | + | 0.337799i | ||||
\(303\) | −7.65676 | − | 23.5651i | −0.0252698 | − | 0.0777726i | ||||
\(304\) | −113.003 | − | 155.535i | −0.371719 | − | 0.511628i | ||||
\(305\) | 120.163 | − | 369.824i | 0.393977 | − | 1.21254i | ||||
\(306\) | −141.711 | + | 46.0448i | −0.463109 | + | 0.150473i | ||||
\(307\) | 298.438 | − | 96.9683i | 0.972110 | − | 0.315858i | 0.220442 | − | 0.975400i | \(-0.429250\pi\) |
0.751667 | + | 0.659542i | \(0.229250\pi\) | |||||||
\(308\) | −4.99569 | + | 2.27942i | −0.0162198 | + | 0.00740073i | ||||
\(309\) | 152.070 | + | 468.024i | 0.492136 | + | 1.51464i | ||||
\(310\) | −40.9470 | + | 126.022i | −0.132087 | + | 0.406522i | ||||
\(311\) | 48.5829 | + | 66.8686i | 0.156215 | + | 0.215012i | 0.879950 | − | 0.475067i | \(-0.157576\pi\) |
−0.723735 | + | 0.690078i | \(0.757576\pi\) | |||||||
\(312\) | 1.40107 | + | 4.31204i | 0.00449059 | + | 0.0138206i | ||||
\(313\) | 205.678 | − | 283.091i | 0.657118 | − | 0.904445i | −0.342264 | − | 0.939604i | \(-0.611194\pi\) |
0.999382 | + | 0.0351588i | \(0.0111937\pi\) | |||||||
\(314\) | 483.906i | 1.54110i | ||||||||
\(315\) | −35.9520 | + | 177.123i | −0.114133 | + | 0.562296i | ||||
\(316\) | 102.162 | + | 74.2250i | 0.323297 | + | 0.234889i | ||||
\(317\) | 256.073 | − | 186.048i | 0.807802 | − | 0.586903i | −0.105390 | − | 0.994431i | \(-0.533609\pi\) |
0.913193 | + | 0.407528i | \(0.133609\pi\) | |||||||
\(318\) | 614.908 | + | 846.348i | 1.93367 | + | 2.66147i | ||||
\(319\) | 2.30651 | 0.00723045 | ||||||||
\(320\) | 182.717 | + | 251.489i | 0.570992 | + | 0.785903i | ||||
\(321\) | 230.366 | − | 74.8505i | 0.717652 | − | 0.233179i | ||||
\(322\) | 132.127 | + | 26.8187i | 0.410331 | + | 0.0832878i | ||||
\(323\) | −95.7780 | − | 69.5868i | −0.296526 | − | 0.215439i | ||||
\(324\) | 326.768 | + | 237.411i | 1.00854 | + | 0.732749i | ||||
\(325\) | − | 41.1416i | − | 0.126589i | ||||||
\(326\) | 240.333 | − | 739.668i | 0.737217 | − | 2.26892i | ||||
\(327\) | 329.702i | 1.00826i | ||||||||
\(328\) | −2.20310 | − | 0.0495646i | −0.00671677 | − | 0.000151112i | ||||
\(329\) | −32.6941 | + | 3.74014i | −0.0993743 | + | 0.0113682i | ||||
\(330\) | 3.11494 | − | 9.58679i | 0.00943920 | − | 0.0290509i | ||||
\(331\) | 489.852 | 1.47991 | 0.739957 | − | 0.672654i | \(-0.234846\pi\) | ||||
0.739957 | + | 0.672654i | \(0.234846\pi\) | |||||||
\(332\) | 75.5476 | − | 103.982i | 0.227553 | − | 0.313200i | ||||
\(333\) | 249.288 | + | 181.118i | 0.748612 | + | 0.543898i | ||||
\(334\) | −686.027 | − | 222.904i | −2.05397 | − | 0.667376i | ||||
\(335\) | −311.842 | + | 101.323i | −0.930870 | + | 0.302458i | ||||
\(336\) | −311.358 | + | 285.569i | −0.926662 | + | 0.849908i | ||||
\(337\) | −310.593 | −0.921640 | −0.460820 | − | 0.887494i | \(-0.652445\pi\) | ||||
−0.460820 | + | 0.887494i | \(0.652445\pi\) | |||||||
\(338\) | −747.606 | + | 543.168i | −2.21185 | + | 1.60701i | ||||
\(339\) | 132.898 | + | 182.918i | 0.392029 | + | 0.539582i | ||||
\(340\) | 153.407 | + | 111.457i | 0.451197 | + | 0.327814i | ||||
\(341\) | 1.80529 | + | 0.586574i | 0.00529410 | + | 0.00172016i | ||||
\(342\) | − | 183.460i | − | 0.536432i | ||||||
\(343\) | 96.9668 | − | 329.008i | 0.282702 | − | 0.959208i | ||||
\(344\) | −0.487484 | − | 1.50032i | −0.00141710 | − | 0.00436140i | ||||
\(345\) | −100.350 | + | 72.9082i | −0.290868 | + | 0.211328i | ||||
\(346\) | 748.931 | + | 243.342i | 2.16454 | + | 0.703302i | ||||
\(347\) | 20.6234 | + | 63.4723i | 0.0594334 | + | 0.182917i | 0.976365 | − | 0.216126i | \(-0.0693423\pi\) |
−0.916932 | + | 0.399043i | \(0.869342\pi\) | |||||||
\(348\) | −171.198 | + | 55.6255i | −0.491947 | + | 0.159843i | ||||
\(349\) | 48.0215 | − | 15.6031i | 0.137597 | − | 0.0447081i | −0.239409 | − | 0.970919i | \(-0.576954\pi\) |
0.377006 | + | 0.926211i | \(0.376954\pi\) | |||||||
\(350\) | −33.3368 | + | 15.2108i | −0.0952480 | + | 0.0434595i | ||||
\(351\) | −94.7274 | + | 291.541i | −0.269879 | + | 0.830601i | ||||
\(352\) | 7.15446 | − | 5.19802i | 0.0203252 | − | 0.0147671i | ||||
\(353\) | −419.731 | + | 136.379i | −1.18904 | + | 0.386343i | −0.835718 | − | 0.549159i | \(-0.814948\pi\) |
−0.353323 | + | 0.935501i | \(0.614948\pi\) | |||||||
\(354\) | 420.458 | + | 305.481i | 1.18774 | + | 0.862940i | ||||
\(355\) | − | 114.595i | − | 0.322804i | ||||||
\(356\) | −450.820 | − | 146.480i | −1.26635 | − | 0.411462i | ||||
\(357\) | −128.008 | + | 226.495i | −0.358566 | + | 0.634440i | ||||
\(358\) | −61.9867 | + | 45.0360i | −0.173147 | + | 0.125799i | ||||
\(359\) | −235.446 | + | 171.062i | −0.655839 | + | 0.476495i | −0.865255 | − | 0.501331i | \(-0.832844\pi\) |
0.209416 | + | 0.977827i | \(0.432844\pi\) | |||||||
\(360\) | 1.38773i | 0.00385481i | ||||||||
\(361\) | −174.129 | + | 126.512i | −0.482353 | + | 0.350450i | ||||
\(362\) | −256.731 | + | 83.4169i | −0.709202 | + | 0.230434i | ||||
\(363\) | 436.037 | + | 141.677i | 1.20121 | + | 0.390295i | ||||
\(364\) | 545.092 | + | 308.070i | 1.49751 | + | 0.846346i | ||||
\(365\) | 220.744 | + | 160.380i | 0.604778 | + | 0.439397i | ||||
\(366\) | 867.418 | 2.36999 | ||||||||
\(367\) | −554.013 | − | 180.010i | −1.50957 | − | 0.490490i | −0.566780 | − | 0.823869i | \(-0.691811\pi\) |
−0.942793 | + | 0.333379i | \(0.891811\pi\) | |||||||
\(368\) | −108.304 | −0.294304 | ||||||||
\(369\) | 175.037 | + | 133.288i | 0.474355 | + | 0.361215i | ||||
\(370\) | − | 782.413i | − | 2.11463i | ||||||
\(371\) | 668.643 | + | 135.719i | 1.80227 | + | 0.365820i | ||||
\(372\) | −148.141 | −0.398229 | ||||||||
\(373\) | −115.231 | − | 83.7203i | −0.308931 | − | 0.224451i | 0.422507 | − | 0.906360i | \(-0.361150\pi\) |
−0.731438 | + | 0.681908i | \(0.761150\pi\) | |||||||
\(374\) | 3.18574 | − | 4.38480i | 0.00851802 | − | 0.0117241i | ||||
\(375\) | 151.308 | − | 465.677i | 0.403487 | − | 1.24181i | ||||
\(376\) | −0.240304 | + | 0.0780797i | −0.000639108 | + | 0.000207659i | ||||
\(377\) | −154.587 | − | 212.770i | −0.410044 | − | 0.564378i | ||||
\(378\) | 271.257 | − | 31.0312i | 0.717610 | − | 0.0820932i | ||||
\(379\) | 598.832 | − | 435.077i | 1.58003 | − | 1.14796i | 0.663375 | − | 0.748287i | \(-0.269123\pi\) |
0.916658 | − | 0.399674i | \(-0.130877\pi\) | |||||||
\(380\) | −188.881 | + | 137.230i | −0.497055 | + | 0.361132i | ||||
\(381\) | 405.849 | − | 558.603i | 1.06522 | − | 1.46615i | ||||
\(382\) | −113.085 | + | 348.038i | −0.296033 | + | 0.911095i | ||||
\(383\) | − | 293.621i | − | 0.766634i | −0.923617 | − | 0.383317i | \(-0.874782\pi\) | ||
0.923617 | − | 0.383317i | \(-0.125218\pi\) | |||||||
\(384\) | −3.83171 | + | 5.27390i | −0.00997842 | + | 0.0137341i | ||||
\(385\) | −2.72897 | − | 5.98093i | −0.00708822 | − | 0.0155349i | ||||
\(386\) | −643.904 | + | 467.824i | −1.66815 | + | 1.21198i | ||||
\(387\) | −48.6694 | + | 149.789i | −0.125761 | + | 0.387051i | ||||
\(388\) | −279.019 | + | 90.6588i | −0.719121 | + | 0.233657i | ||||
\(389\) | 72.6788 | + | 223.682i | 0.186835 | + | 0.575019i | 0.999975 | − | 0.00704887i | \(-0.00224374\pi\) |
−0.813140 | + | 0.582068i | \(0.802244\pi\) | |||||||
\(390\) | −1093.13 | + | 355.179i | −2.80289 | + | 0.910714i | ||||
\(391\) | −63.4291 | + | 20.6094i | −0.162223 | + | 0.0527094i | ||||
\(392\) | 0.227142 | − | 2.62383i | 0.000579443 | − | 0.00669343i | ||||
\(393\) | 374.441 | − | 272.048i | 0.952777 | − | 0.692233i | ||||
\(394\) | 92.6000 | + | 284.994i | 0.235025 | + | 0.723334i | ||||
\(395\) | −88.8635 | + | 122.310i | −0.224971 | + | 0.309646i | ||||
\(396\) | 4.20941 | 0.0106298 | ||||||||
\(397\) | 156.268 | + | 50.7747i | 0.393623 | + | 0.127896i | 0.499139 | − | 0.866522i | \(-0.333650\pi\) |
−0.105516 | + | 0.994418i | \(0.533650\pi\) | |||||||
\(398\) | 17.1377 | − | 23.5880i | 0.0430595 | − | 0.0592663i | ||||
\(399\) | −216.517 | − | 236.070i | −0.542649 | − | 0.591655i | ||||
\(400\) | 23.8142 | − | 17.3020i | 0.0595355 | − | 0.0432551i | ||||
\(401\) | −346.939 | −0.865184 | −0.432592 | − | 0.901590i | \(-0.642401\pi\) | ||||
−0.432592 | + | 0.901590i | \(0.642401\pi\) | |||||||
\(402\) | −429.918 | − | 591.732i | −1.06945 | − | 1.47197i | ||||
\(403\) | −66.8837 | − | 205.847i | −0.165965 | − | 0.510786i | ||||
\(404\) | −24.9871 | − | 8.11881i | −0.0618493 | − | 0.0200961i | ||||
\(405\) | −284.232 | + | 391.212i | −0.701808 | + | 0.965956i | ||||
\(406\) | −115.253 | + | 203.926i | −0.283875 | + | 0.502281i | ||||
\(407\) | −11.2082 | −0.0275386 | ||||||||
\(408\) | −0.617297 | + | 1.89984i | −0.00151298 | + | 0.00465648i | ||||
\(409\) | 625.487i | 1.52931i | 0.644441 | + | 0.764654i | \(0.277090\pi\) | ||||
−0.644441 | + | 0.764654i | \(0.722910\pi\) | |||||||
\(410\) | 12.5649 | − | 558.499i | 0.0306462 | − | 1.36219i | ||||
\(411\) | − | 600.849i | − | 1.46192i | ||||||
\(412\) | 496.266 | + | 161.247i | 1.20453 | + | 0.391376i | ||||
\(413\) | 336.753 | − | 38.5239i | 0.815383 | − | 0.0932781i | ||||
\(414\) | −83.6128 | − | 60.7483i | −0.201963 | − | 0.146735i | ||||
\(415\) | 124.490 | + | 90.4470i | 0.299975 | + | 0.217944i | ||||
\(416\) | −959.010 | − | 311.601i | −2.30531 | − | 0.749041i | ||||
\(417\) | 75.6360 | + | 232.784i | 0.181381 | + | 0.558234i | ||||
\(418\) | 3.92241 | + | 5.39874i | 0.00938376 | + | 0.0129156i | ||||
\(419\) | 166.924i | 0.398386i | 0.979960 | + | 0.199193i | \(0.0638321\pi\) | ||||
−0.979960 | + | 0.199193i | \(0.936168\pi\) | |||||||
\(420\) | 346.794 | + | 378.112i | 0.825700 | + | 0.900268i | ||||
\(421\) | −193.064 | + | 140.269i | −0.458585 | + | 0.333181i | −0.792976 | − | 0.609253i | \(-0.791469\pi\) |
0.334391 | + | 0.942434i | \(0.391469\pi\) | |||||||
\(422\) | −380.850 | − | 276.704i | −0.902487 | − | 0.655696i | ||||
\(423\) | 23.9915 | + | 7.79531i | 0.0567175 | + | 0.0184286i | ||||
\(424\) | 5.23870 | 0.0123554 | ||||||||
\(425\) | 10.6546 | − | 14.6647i | 0.0250695 | − | 0.0345053i | ||||
\(426\) | 243.116 | − | 78.9930i | 0.570694 | − | 0.185430i | ||||
\(427\) | 416.914 | − | 382.382i | 0.976381 | − | 0.895508i | ||||
\(428\) | 79.3674 | − | 244.268i | 0.185438 | − | 0.570719i | ||||
\(429\) | 5.08801 | + | 15.6593i | 0.0118602 | + | 0.0365018i | ||||
\(430\) | 380.340 | − | 123.580i | 0.884512 | − | 0.287395i | ||||
\(431\) | −55.2717 | − | 170.109i | −0.128241 | − | 0.394684i | 0.866237 | − | 0.499634i | \(-0.166532\pi\) |
−0.994478 | + | 0.104949i | \(0.966532\pi\) | |||||||
\(432\) | −208.592 | + | 67.7756i | −0.482851 | + | 0.156888i | ||||
\(433\) | −480.671 | − | 156.179i | −1.11009 | − | 0.360691i | −0.304115 | − | 0.952635i | \(-0.598361\pi\) |
−0.805979 | + | 0.591944i | \(0.798361\pi\) | |||||||
\(434\) | −142.069 | + | 130.301i | −0.327347 | + | 0.300233i | ||||
\(435\) | −66.5958 | − | 204.961i | −0.153094 | − | 0.471174i | ||||
\(436\) | 282.831 | + | 205.488i | 0.648694 | + | 0.471304i | ||||
\(437\) | − | 82.1156i | − | 0.187907i | ||||||
\(438\) | −188.084 | + | 578.864i | −0.429417 | + | 1.32161i | ||||
\(439\) | −390.192 | + | 537.053i | −0.888819 | + | 1.22335i | 0.0850798 | + | 0.996374i | \(0.472885\pi\) |
−0.973899 | + | 0.226981i | \(0.927115\pi\) | |||||||
\(440\) | −0.0296700 | − | 0.0408372i | −6.74318e−5 | − | 9.28119e-5i | ||||
\(441\) | −172.321 | + | 198.599i | −0.390751 | + | 0.450337i | ||||
\(442\) | −618.001 | −1.39819 | ||||||||
\(443\) | −177.918 | + | 129.265i | −0.401621 | + | 0.291795i | −0.770201 | − | 0.637801i | \(-0.779844\pi\) |
0.368580 | + | 0.929596i | \(0.379844\pi\) | |||||||
\(444\) | 831.914 | − | 270.305i | 1.87368 | − | 0.608796i | ||||
\(445\) | 175.369 | − | 539.730i | 0.394088 | − | 1.21288i | ||||
\(446\) | 684.116 | − | 941.605i | 1.53389 | − | 2.11122i | ||||
\(447\) | 558.915 | − | 769.281i | 1.25037 | − | 1.72099i | ||||
\(448\) | 51.4003 | + | 449.311i | 0.114733 | + | 1.00293i | ||||
\(449\) | −21.0054 | + | 64.6481i | −0.0467827 | + | 0.143982i | −0.971719 | − | 0.236139i | \(-0.924118\pi\) |
0.924937 | + | 0.380122i | \(0.124118\pi\) | |||||||
\(450\) | 28.0898 | 0.0624219 | ||||||||
\(451\) | −8.00062 | − | 0.179995i | −0.0177397 | − | 0.000399103i | ||||
\(452\) | 239.743 | 0.530406 | ||||||||
\(453\) | −220.934 | − | 71.7858i | −0.487713 | − | 0.158468i | ||||
\(454\) | 178.726i | 0.393670i | ||||||||
\(455\) | −368.827 | + | 652.594i | −0.810608 | + | 1.43427i | ||||
\(456\) | −1.98981 | − | 1.44568i | −0.00436363 | − | 0.00317036i | ||||
\(457\) | 190.396 | − | 585.977i | 0.416620 | − | 1.28223i | −0.494173 | − | 0.869364i | \(-0.664529\pi\) |
0.910793 | − | 0.412862i | \(-0.135471\pi\) | |||||||
\(458\) | 144.336 | − | 46.8975i | 0.315144 | − | 0.102396i | ||||
\(459\) | −109.266 | + | 79.3867i | −0.238053 | + | 0.172956i | ||||
\(460\) | 131.524i | 0.285922i | ||||||||
\(461\) | 339.619 | + | 467.445i | 0.736700 | + | 1.01398i | 0.998802 | + | 0.0489402i | \(0.0155844\pi\) |
−0.262102 | + | 0.965040i | \(0.584416\pi\) | |||||||
\(462\) | 10.8075 | − | 9.91233i | 0.0233929 | − | 0.0214552i | ||||
\(463\) | −561.442 | − | 407.911i | −1.21262 | − | 0.881018i | −0.217151 | − | 0.976138i | \(-0.569676\pi\) |
−0.995466 | + | 0.0951203i | \(0.969676\pi\) | |||||||
\(464\) | 58.1478 | − | 178.961i | 0.125319 | − | 0.385691i | ||||
\(465\) | − | 177.357i | − | 0.381413i | ||||||
\(466\) | 680.509 | + | 494.419i | 1.46032 | + | 1.06099i | ||||
\(467\) | 110.140 | − | 35.7867i | 0.235846 | − | 0.0766311i | −0.188709 | − | 0.982033i | \(-0.560430\pi\) |
0.424556 | + | 0.905402i | \(0.360430\pi\) | |||||||
\(468\) | −282.122 | − | 388.308i | −0.602825 | − | 0.829718i | ||||
\(469\) | −467.487 | − | 94.8891i | −0.996774 | − | 0.202322i | ||||
\(470\) | −19.7937 | − | 60.9186i | −0.0421142 | − | 0.129614i | ||||
\(471\) | −200.149 | − | 615.995i | −0.424944 | − | 1.30784i | ||||
\(472\) | 2.47516 | − | 0.804228i | 0.00524398 | − | 0.00170387i | ||||
\(473\) | −1.77031 | − | 5.44845i | −0.00374273 | − | 0.0115189i | ||||
\(474\) | −320.738 | − | 104.214i | −0.676662 | − | 0.219861i | ||||
\(475\) | 13.1183 | + | 18.0558i | 0.0276175 | + | 0.0380122i | ||||
\(476\) | 114.514 | + | 250.974i | 0.240575 | + | 0.527257i | ||||
\(477\) | −423.133 | − | 307.424i | −0.887070 | − | 0.644494i | ||||
\(478\) | −783.670 | −1.63948 | ||||||||
\(479\) | 153.856 | + | 49.9909i | 0.321203 | + | 0.104365i | 0.465181 | − | 0.885216i | \(-0.345989\pi\) |
−0.143978 | + | 0.989581i | \(0.545989\pi\) | |||||||
\(480\) | −668.475 | − | 485.676i | −1.39266 | − | 1.01182i | ||||
\(481\) | 751.195 | + | 1033.93i | 1.56174 | + | 2.14955i | ||||
\(482\) | −46.2424 | − | 63.6471i | −0.0959385 | − | 0.132048i | ||||
\(483\) | −179.285 | + | 20.5098i | −0.371190 | + | 0.0424634i | ||||
\(484\) | 393.298 | − | 285.748i | 0.812600 | − | 0.590388i | ||||
\(485\) | −108.538 | − | 334.046i | −0.223790 | − | 0.688756i | ||||
\(486\) | −692.037 | − | 224.856i | −1.42394 | − | 0.462668i | ||||
\(487\) | −78.8356 | − | 57.2774i | −0.161880 | − | 0.117613i | 0.503896 | − | 0.863764i | \(-0.331899\pi\) |
−0.665776 | + | 0.746151i | \(0.731899\pi\) | |||||||
\(488\) | 2.55316 | − | 3.51413i | 0.00523189 | − | 0.00720108i | ||||
\(489\) | 1040.97i | 2.12878i | ||||||||
\(490\) | 665.156 | + | 57.5818i | 1.35746 | + | 0.117514i | ||||
\(491\) | −914.463 | −1.86245 | −0.931225 | − | 0.364444i | \(-0.881259\pi\) | ||||
−0.931225 | + | 0.364444i | \(0.881259\pi\) | |||||||
\(492\) | 598.175 | − | 179.588i | 1.21580 | − | 0.365017i | ||||
\(493\) | − | 115.875i | − | 0.235040i | ||||||
\(494\) | 235.133 | − | 723.666i | 0.475979 | − | 1.46491i | ||||
\(495\) | 5.03958i | 0.0101810i | ||||||||
\(496\) | 91.0236 | − | 125.283i | 0.183515 | − | 0.252587i | ||||
\(497\) | 82.0284 | − | 145.139i | 0.165047 | − | 0.292031i | ||||
\(498\) | −106.071 | + | 326.453i | −0.212994 | + | 0.655529i | ||||
\(499\) | 62.5096 | + | 192.385i | 0.125270 | + | 0.385541i | 0.993950 | − | 0.109832i | \(-0.0350314\pi\) |
−0.868680 | + | 0.495373i | \(0.835031\pi\) | |||||||
\(500\) | −305.172 | − | 420.033i | −0.610344 | − | 0.840066i | ||||
\(501\) | 965.482 | 1.92711 | ||||||||
\(502\) | 788.877 | + | 1085.80i | 1.57147 | + | 2.16294i | ||||
\(503\) | 396.327 | + | 545.497i | 0.787926 | + | 1.08449i | 0.994363 | + | 0.106027i | \(0.0338130\pi\) |
−0.206438 | + | 0.978460i | \(0.566187\pi\) | |||||||
\(504\) | −0.993350 | + | 1.75761i | −0.00197093 | + | 0.00348732i | ||||
\(505\) | 9.71998 | − | 29.9150i | 0.0192475 | − | 0.0592377i | ||||
\(506\) | 3.75932 | 0.00742948 | ||||||||
\(507\) | 727.015 | − | 1000.65i | 1.43395 | − | 1.97367i | ||||
\(508\) | −226.243 | − | 696.305i | −0.445360 | − | 1.37068i | ||||
\(509\) | −216.648 | − | 298.190i | −0.425634 | − | 0.585835i | 0.541310 | − | 0.840823i | \(-0.317928\pi\) |
−0.966944 | + | 0.254988i | \(0.917928\pi\) | |||||||
\(510\) | −481.622 | − | 156.489i | −0.944357 | − | 0.306840i | ||||
\(511\) | 164.779 | + | 361.137i | 0.322464 | + | 0.706727i | ||||
\(512\) | −224.002 | − | 689.408i | −0.437505 | − | 1.34650i | ||||
\(513\) | −51.3871 | − | 158.153i | −0.100170 | − | 0.308291i | ||||
\(514\) | 501.254 | − | 162.867i | 0.975203 | − | 0.316863i | ||||
\(515\) | −193.047 | + | 594.139i | −0.374849 | + | 1.15367i | ||||
\(516\) | 262.797 | + | 361.709i | 0.509297 | + | 0.700987i | ||||
\(517\) | −0.872672 | + | 0.283548i | −0.00168795 | + | 0.000548449i | ||||
\(518\) | 560.058 | − | 990.955i | 1.08119 | − | 1.91304i | ||||
\(519\) | −1054.01 | −2.03085 | ||||||||
\(520\) | −1.77860 | + | 5.47397i | −0.00342039 | + | 0.0105269i | ||||
\(521\) | −259.940 | + | 357.777i | −0.498925 | + | 0.686712i | −0.982003 | − | 0.188866i | \(-0.939519\pi\) |
0.483077 | + | 0.875578i | \(0.339519\pi\) | |||||||
\(522\) | 145.271 | − | 105.546i | 0.278297 | − | 0.202195i | ||||
\(523\) | −156.056 | − | 214.792i | −0.298386 | − | 0.410692i | 0.633330 | − | 0.773882i | \(-0.281688\pi\) |
−0.931715 | + | 0.363190i | \(0.881688\pi\) | |||||||
\(524\) | − | 490.765i | − | 0.936574i | ||||||
\(525\) | 36.1451 | − | 33.1513i | 0.0688479 | − | 0.0631453i | ||||
\(526\) | −336.322 | − | 1035.09i | −0.639395 | − | 1.96785i | ||||
\(527\) | 29.4684 | − | 90.6943i | 0.0559172 | − | 0.172095i | ||||
\(528\) | −6.92439 | + | 9.53061i | −0.0131144 | + | 0.0180504i | ||||
\(529\) | 390.545 | + | 283.748i | 0.738271 | + | 0.536385i | ||||
\(530\) | 1328.04i | 2.50574i | ||||||||
\(531\) | −247.115 | − | 80.2925i | −0.465376 | − | 0.151210i | ||||
\(532\) | −337.455 | + | 38.6042i | −0.634314 | + | 0.0725643i | ||||
\(533\) | 519.612 | + | 750.101i | 0.974881 | + | 1.40732i | ||||
\(534\) | 1265.93 | 2.37066 | ||||||||
\(535\) | 292.442 | + | 95.0200i | 0.546620 | + | 0.177608i | ||||
\(536\) | −3.66268 | −0.00683336 | ||||||||
\(537\) | 60.2794 | − | 82.9674i | 0.112252 | − | 0.154502i | ||||
\(538\) | 672.795 | − | 926.023i | 1.25055 | − | 1.72123i | ||||
\(539\) | 0.824871 | − | 9.52849i | 0.00153037 | − | 0.0176781i | ||||
\(540\) | 82.3064 | + | 253.313i | 0.152419 | + | 0.469098i | ||||
\(541\) | 827.557 | − | 601.256i | 1.52968 | − | 1.11138i | 0.573265 | − | 0.819370i | \(-0.305677\pi\) |
0.956416 | − | 0.292008i | \(-0.0943234\pi\) | |||||||
\(542\) | 252.253i | 0.465412i | ||||||||
\(543\) | 292.307 | − | 212.373i | 0.538318 | − | 0.391111i | ||||
\(544\) | −261.139 | − | 359.426i | −0.480034 | − | 0.660710i | ||||
\(545\) | −246.014 | + | 338.610i | −0.451403 | + | 0.621302i | ||||
\(546\) | −1638.73 | − | 332.624i | −3.00133 | − | 0.609201i | ||||
\(547\) | −346.911 | −0.634207 | −0.317104 | − | 0.948391i | \(-0.602710\pi\) | ||||
−0.317104 | + | 0.948391i | \(0.602710\pi\) | |||||||
\(548\) | −515.430 | − | 374.482i | −0.940566 | − | 0.683361i | ||||
\(549\) | −412.441 | + | 134.010i | −0.751259 | + | 0.244099i | ||||
\(550\) | −0.826610 | + | 0.600567i | −0.00150293 | + | 0.00109194i | ||||
\(551\) | 135.687 | + | 44.0874i | 0.246256 | + | 0.0800135i | ||||
\(552\) | −1.31776 | + | 0.428165i | −0.00238724 | + | 0.000775662i | ||||
\(553\) | −200.100 | + | 91.3009i | −0.361844 | + | 0.165101i | ||||
\(554\) | 281.537 | + | 866.481i | 0.508189 | + | 1.56405i | ||||
\(555\) | 323.614 | + | 995.982i | 0.583089 | + | 1.79456i | ||||
\(556\) | 246.831 | + | 80.2002i | 0.443941 | + | 0.144245i | ||||
\(557\) | 211.006 | − | 153.305i | 0.378826 | − | 0.275233i | −0.382035 | − | 0.924148i | \(-0.624777\pi\) |
0.760861 | + | 0.648914i | \(0.224777\pi\) | |||||||
\(558\) | 140.544 | − | 45.6656i | 0.251871 | − | 0.0818379i | ||||
\(559\) | −383.957 | + | 528.472i | −0.686865 | + | 0.945388i | ||||
\(560\) | −532.854 | + | 60.9574i | −0.951525 | + | 0.108853i | ||||
\(561\) | −2.24173 | + | 6.89934i | −0.00399595 | + | 0.0122983i | ||||
\(562\) | −180.742 | − | 131.317i | −0.321605 | − | 0.233660i | ||||
\(563\) | −369.557 | − | 508.651i | −0.656406 | − | 0.903466i | 0.342949 | − | 0.939354i | \(-0.388574\pi\) |
−0.999356 | + | 0.0358880i | \(0.988574\pi\) | |||||||
\(564\) | 57.9345 | − | 42.0919i | 0.102721 | − | 0.0746310i | ||||
\(565\) | 287.025i | 0.508009i | ||||||||
\(566\) | 209.034 | + | 287.710i | 0.369317 | + | 0.508322i | ||||
\(567\) | −640.024 | + | 292.029i | −1.12879 | + | 0.515042i | ||||
\(568\) | 0.395568 | − | 1.21743i | 0.000696422 | − | 0.00214337i | ||||
\(569\) | −364.786 | − | 265.033i | −0.641101 | − | 0.465787i | 0.219128 | − | 0.975696i | \(-0.429679\pi\) |
−0.860228 | + | 0.509909i | \(0.829679\pi\) | |||||||
\(570\) | 366.490 | − | 504.430i | 0.642964 | − | 0.884965i | ||||
\(571\) | −655.420 | −1.14785 | −0.573923 | − | 0.818909i | \(-0.694579\pi\) | ||||
−0.573923 | + | 0.818909i | \(0.694579\pi\) | |||||||
\(572\) | 16.6042 | + | 5.39504i | 0.0290284 | + | 0.00943189i | ||||
\(573\) | − | 489.813i | − | 0.854822i | ||||||
\(574\) | 415.693 | − | 698.366i | 0.724204 | − | 1.21667i | ||||
\(575\) | 12.5728 | 0.0218658 | ||||||||
\(576\) | 107.130 | − | 329.712i | 0.185989 | − | 0.572416i | ||||
\(577\) | 301.769i | 0.522996i | 0.965204 | + | 0.261498i | \(0.0842165\pi\) | ||||
−0.965204 | + | 0.261498i | \(0.915783\pi\) | |||||||
\(578\) | 441.803 | + | 320.989i | 0.764365 | + | 0.555344i | ||||
\(579\) | 626.169 | − | 861.848i | 1.08147 | − | 1.48851i | ||||
\(580\) | −217.329 | − | 70.6145i | −0.374705 | − | 0.121749i | ||||
\(581\) | 92.9279 | + | 203.665i | 0.159945 | + | 0.350543i | ||||
\(582\) | 633.866 | − | 460.531i | 1.08912 | − | 0.791290i | ||||
\(583\) | 19.0245 | 0.0326320 | ||||||||
\(584\) | 1.79152 | + | 2.46581i | 0.00306767 | + | 0.00422228i | ||||
\(585\) | 464.889 | − | 337.762i | 0.794682 | − | 0.577370i | ||||
\(586\) | −285.144 | + | 392.467i | −0.486594 | + | 0.669740i | ||||
\(587\) | −296.176 | − | 96.2334i | −0.504559 | − | 0.163941i | 0.0456676 | − | 0.998957i | \(-0.485458\pi\) |
−0.550226 | + | 0.835016i | \(0.685458\pi\) | |||||||
\(588\) | 168.571 | + | 727.132i | 0.286685 | + | 1.23662i | ||||
\(589\) | 94.9892 | + | 69.0137i | 0.161272 | + | 0.117171i | ||||
\(590\) | 203.877 | + | 627.468i | 0.345554 | + | 1.06351i | ||||
\(591\) | −235.753 | − | 324.486i | −0.398905 | − | 0.549045i | ||||
\(592\) | −282.562 | + | 869.637i | −0.477301 | + | 1.46898i | ||||
\(593\) | 823.716 | − | 267.641i | 1.38907 | − | 0.451335i | 0.483427 | − | 0.875385i | \(-0.339392\pi\) |
0.905639 | + | 0.424050i | \(0.139392\pi\) | |||||||
\(594\) | 7.24039 | − | 2.35254i | 0.0121892 | − | 0.00396051i | ||||
\(595\) | −300.471 | + | 137.098i | −0.504993 | + | 0.230417i | ||||
\(596\) | −311.571 | − | 958.916i | −0.522769 | − | 1.60892i | ||||
\(597\) | −12.0594 | + | 37.1150i | −0.0202000 | + | 0.0621691i | ||||
\(598\) | −251.956 | − | 346.788i | −0.421331 | − | 0.579913i | ||||
\(599\) | 189.617 | + | 583.582i | 0.316556 | + | 0.974260i | 0.975109 | + | 0.221726i | \(0.0711690\pi\) |
−0.658553 | + | 0.752535i | \(0.728831\pi\) | |||||||
\(600\) | 0.221351 | − | 0.304664i | 0.000368919 | − | 0.000507773i | ||||
\(601\) | 193.175i | 0.321423i | 0.987001 | + | 0.160712i | \(0.0513789\pi\) | ||||
−0.987001 | + | 0.160712i | \(0.948621\pi\) | |||||||
\(602\) | 570.175 | + | 115.732i | 0.947134 | + | 0.192246i | ||||
\(603\) | 295.837 | + | 214.938i | 0.490608 | + | 0.356448i | ||||
\(604\) | −199.279 | + | 144.785i | −0.329932 | + | 0.239709i | ||||
\(605\) | 342.103 | + | 470.864i | 0.565459 | + | 0.778287i | ||||
\(606\) | 70.1653 | 0.115784 | ||||||||
\(607\) | −14.4456 | − | 19.8827i | −0.0237984 | − | 0.0327556i | 0.796952 | − | 0.604043i | \(-0.206444\pi\) |
−0.820750 | + | 0.571287i | \(0.806444\pi\) | |||||||
\(608\) | 520.238 | − | 169.035i | 0.855654 | − | 0.278019i | ||||
\(609\) | 62.3668 | − | 307.260i | 0.102409 | − | 0.504533i | ||||
\(610\) | 890.853 | + | 647.242i | 1.46041 | + | 1.06105i | ||||
\(611\) | 84.6447 | + | 61.4980i | 0.138535 | + | 0.100651i | ||||
\(612\) | − | 211.473i | − | 0.345544i | ||||||
\(613\) | −156.330 | + | 481.134i | −0.255025 | + | 0.784885i | 0.738800 | + | 0.673924i | \(0.235393\pi\) |
−0.993825 | + | 0.110960i | \(0.964607\pi\) | |||||||
\(614\) | 888.601i | 1.44723i | ||||||||
\(615\) | 215.006 | + | 716.146i | 0.349604 | + | 1.16446i | ||||
\(616\) | −0.00834647 | − | 0.0729599i | −1.35495e−5 | − | 0.000118441i | ||||
\(617\) | −354.704 | + | 1091.67i | −0.574884 | + | 1.76931i | 0.0616885 | + | 0.998095i | \(0.480351\pi\) |
−0.636573 | + | 0.771217i | \(0.719649\pi\) | |||||||
\(618\) | −1393.55 | −2.25493 | ||||||||
\(619\) | 661.155 | − | 910.002i | 1.06810 | − | 1.47012i | 0.196120 | − | 0.980580i | \(-0.437166\pi\) |
0.871983 | − | 0.489537i | \(-0.162834\pi\) | |||||||
\(620\) | −152.144 | − | 110.539i | −0.245393 | − | 0.178288i | ||||
\(621\) | −89.0948 | − | 28.9487i | −0.143470 | − | 0.0466162i | ||||
\(622\) | −222.603 | + | 72.3280i | −0.357882 | + | 0.116283i | ||||
\(623\) | 608.455 | − | 558.058i | 0.976654 | − | 0.895759i | ||||
\(624\) | 1343.26 | 2.15266 | ||||||||
\(625\) | 465.483 | − | 338.193i | 0.744773 | − | 0.541109i | ||||
\(626\) | 582.435 | + | 801.652i | 0.930407 | + | 1.28059i | ||||
\(627\) | −7.22606 | − | 5.25004i | −0.0115248 | − | 0.00837327i | ||||
\(628\) | −653.166 | − | 212.227i | −1.04007 | − | 0.337941i | ||||
\(629\) | 563.080i | 0.895199i | ||||||||
\(630\) | −445.565 | − | 251.820i | −0.707246 | − | 0.399715i | ||||
\(631\) | −260.465 | − | 801.630i | −0.412782 | − | 1.27041i | −0.914220 | − | 0.405218i | \(-0.867196\pi\) |
0.501438 | − | 0.865193i | \(-0.332804\pi\) | |||||||
\(632\) | −1.36626 | + | 0.992646i | −0.00216180 | + | 0.00157064i | ||||
\(633\) | 599.255 | + | 194.710i | 0.946690 | + | 0.307598i | ||||
\(634\) | 276.980 | + | 852.457i | 0.436877 | + | 1.34457i | ||||
\(635\) | 833.628 | − | 270.862i | 1.31280 | − | 0.426555i | ||||
\(636\) | −1412.06 | + | 458.807i | −2.22022 | + | 0.721395i | ||||
\(637\) | −934.265 | + | 562.525i | −1.46666 | + | 0.883084i | ||||
\(638\) | −2.01836 | + | 6.21186i | −0.00316357 | + | 0.00973647i | ||||
\(639\) | −103.393 | + | 75.1195i | −0.161804 | + | 0.117558i | ||||
\(640\) | −7.87047 | + | 2.55727i | −0.0122976 | + | 0.00399574i | ||||
\(641\) | −118.024 | − | 85.7496i | −0.184125 | − | 0.133775i | 0.491905 | − | 0.870649i | \(-0.336301\pi\) |
−0.676030 | + | 0.736874i | \(0.736301\pi\) | |||||||
\(642\) | 685.918i | 1.06841i | ||||||||
\(643\) | −421.825 | − | 137.059i | −0.656026 | − | 0.213156i | −0.0379569 | − | 0.999279i | \(-0.512085\pi\) |
−0.618069 | + | 0.786123i | \(0.712085\pi\) | |||||||
\(644\) | −94.1460 | + | 166.580i | −0.146189 | + | 0.258664i | ||||
\(645\) | −433.045 | + | 314.626i | −0.671387 | + | 0.487792i | ||||
\(646\) | 271.222 | − | 197.055i | 0.419849 | − | 0.305038i | ||||
\(647\) | − | 1040.68i | − | 1.60848i | −0.594308 | − | 0.804238i | \(-0.702574\pi\) | ||
0.594308 | − | 0.804238i | \(-0.297426\pi\) | |||||||
\(648\) | −4.37002 | + | 3.17501i | −0.00674386 | + | 0.00489970i | ||||
\(649\) | 8.98861 | − | 2.92058i | 0.0138499 | − | 0.00450012i | ||||
\(650\) | 110.802 | + | 36.0017i | 0.170464 | + | 0.0553872i | ||||
\(651\) | 126.954 | − | 224.630i | 0.195014 | − | 0.345053i | ||||
\(652\) | 892.985 | + | 648.792i | 1.36961 | + | 0.995080i | ||||
\(653\) | 63.2449 | 0.0968528 | 0.0484264 | − | 0.998827i | \(-0.484579\pi\) | ||||
0.0484264 | + | 0.998827i | \(0.484579\pi\) | |||||||
\(654\) | −887.948 | − | 288.512i | −1.35772 | − | 0.441150i | ||||
\(655\) | 587.552 | 0.897026 | ||||||||
\(656\) | −215.663 | + | 616.224i | −0.328755 | + | 0.939366i | ||||
\(657\) | − | 304.297i | − | 0.463161i | ||||||
\(658\) | 18.5367 | − | 91.3242i | 0.0281713 | − | 0.138791i | ||||
\(659\) | 827.872 | 1.25626 | 0.628128 | − | 0.778110i | \(-0.283822\pi\) | ||||
0.628128 | + | 0.778110i | \(0.283822\pi\) | |||||||
\(660\) | 11.5739 | + | 8.40895i | 0.0175363 | + | 0.0127408i | ||||
\(661\) | −250.802 | + | 345.200i | −0.379428 | + | 0.522238i | −0.955433 | − | 0.295208i | \(-0.904611\pi\) |
0.576005 | + | 0.817446i | \(0.304611\pi\) | |||||||
\(662\) | −428.654 | + | 1319.26i | −0.647513 | + | 1.99284i | ||||
\(663\) | 786.692 | − | 255.612i | 1.18656 | − | 0.385538i | ||||
\(664\) | 1.01033 | + | 1.39061i | 0.00152159 | + | 0.00209429i | ||||
\(665\) | −46.2176 | − | 404.007i | −0.0695002 | − | 0.607530i | ||||
\(666\) | −705.928 | + | 512.887i | −1.05995 | + | 0.770100i | ||||
\(667\) | 65.0226 | − | 47.2417i | 0.0974851 | − | 0.0708271i | ||||
\(668\) | 601.741 | − | 828.226i | 0.900810 | − | 1.23986i | ||||
\(669\) | −481.396 | + | 1481.59i | −0.719576 | + | 2.21463i | ||||
\(670\) | − | 928.511i | − | 1.38584i | ||||||
\(671\) | 9.27188 | − | 12.7617i | 0.0138180 | − | 0.0190189i | ||||
\(672\) | −498.997 | − | 1093.63i | −0.742556 | − | 1.62742i | ||||
\(673\) | 892.511 | − | 648.447i | 1.32617 | − | 0.963517i | 0.326334 | − | 0.945254i | \(-0.394187\pi\) |
0.999833 | − | 0.0182626i | \(-0.00581350\pi\) | |||||||
\(674\) | 271.790 | − | 836.483i | 0.403249 | − | 1.24107i | ||||
\(675\) | 24.2151 | − | 7.86797i | 0.0358742 | − | 0.0116562i | ||||
\(676\) | −405.279 | − | 1247.32i | −0.599525 | − | 1.84515i | ||||
\(677\) | 18.0342 | − | 5.85966i | 0.0266384 | − | 0.00865533i | −0.295668 | − | 0.955291i | \(-0.595542\pi\) |
0.322306 | + | 0.946636i | \(0.395542\pi\) | |||||||
\(678\) | −608.927 | + | 197.852i | −0.898123 | + | 0.291818i | ||||
\(679\) | 101.646 | − | 500.775i | 0.149699 | − | 0.737518i | ||||
\(680\) | −2.05159 | + | 1.49056i | −0.00301704 | + | 0.00219201i | ||||
\(681\) | −73.9230 | − | 227.512i | −0.108551 | − | 0.334085i | ||||
\(682\) | −3.15950 | + | 4.34868i | −0.00463270 | + | 0.00637637i | ||||
\(683\) | −846.788 | −1.23981 | −0.619903 | − | 0.784678i | \(-0.712828\pi\) | ||||
−0.619903 | + | 0.784678i | \(0.712828\pi\) | |||||||
\(684\) | 247.630 | + | 80.4599i | 0.362032 | + | 0.117631i | ||||
\(685\) | 448.336 | − | 617.082i | 0.654505 | − | 0.900849i | ||||
\(686\) | 801.227 | + | 549.054i | 1.16797 | + | 0.800370i | ||||
\(687\) | −164.337 | + | 119.398i | −0.239209 | + | 0.173796i | ||||
\(688\) | −467.371 | −0.679319 | ||||||||
\(689\) | −1275.05 | − | 1754.96i | −1.85059 | − | 2.54711i | ||||
\(690\) | −108.542 | − | 334.059i | −0.157308 | − | 0.484144i | ||||
\(691\) | −26.3962 | − | 8.57666i | −0.0382000 | − | 0.0124119i | 0.289855 | − | 0.957071i | \(-0.406393\pi\) |
−0.328055 | + | 0.944659i | \(0.606393\pi\) | |||||||
\(692\) | −656.917 | + | 904.168i | −0.949302 | + | 1.30660i | ||||
\(693\) | −3.60738 | + | 6.38281i | −0.00520545 | + | 0.00921041i | ||||
\(694\) | −188.989 | −0.272319 | ||||||||
\(695\) | −96.0171 | + | 295.510i | −0.138154 | + | 0.425195i | ||||
\(696\) | − | 2.40733i | − | 0.00345881i | ||||||
\(697\) | −9.04262 | + | 401.936i | −0.0129736 | + | 0.576665i | ||||
\(698\) | 142.984i | 0.204849i | ||||||||
\(699\) | −1070.76 | − | 347.911i | −1.53185 | − | 0.497727i | ||||
\(700\) | −5.91075 | − | 51.6683i | −0.00844393 | − | 0.0738119i | ||||
\(701\) | 698.133 | + | 507.223i | 0.995910 | + | 0.723571i | 0.961207 | − | 0.275827i | \(-0.0889517\pi\) |
0.0347023 | + | 0.999398i | \(0.488952\pi\) | |||||||
\(702\) | −702.280 | − | 510.236i | −1.00040 | − | 0.726832i | ||||
\(703\) | −659.355 | − | 214.237i | −0.937916 | − | 0.304747i | ||||
\(704\) | 3.89676 | + | 11.9930i | 0.00553518 | + | 0.0170355i | ||||
\(705\) | 50.3932 | + | 69.3603i | 0.0714797 | + | 0.0983834i | ||||
\(706\) | − | 1249.75i | − | 1.77019i | ||||||
\(707\) | 33.7242 | − | 30.9308i | 0.0477004 | − | 0.0437494i | ||||
\(708\) | −596.732 | + | 433.551i | −0.842841 | + | 0.612360i | ||||
\(709\) | 326.802 | + | 237.436i | 0.460934 | + | 0.334888i | 0.793898 | − | 0.608052i | \(-0.208049\pi\) |
−0.332964 | + | 0.942940i | \(0.608049\pi\) | |||||||
\(710\) | 308.626 | + | 100.279i | 0.434685 | + | 0.141238i | ||||
\(711\) | 168.605 | 0.237138 | ||||||||
\(712\) | 3.72615 | − | 5.12861i | 0.00523336 | − | 0.00720310i | ||||
\(713\) | 62.9067 | − | 20.4396i | 0.0882282 | − | 0.0286671i | ||||
\(714\) | −497.976 | − | 542.948i | −0.697446 | − | 0.760432i | ||||
\(715\) | −6.45904 | + | 19.8789i | −0.00903362 | + | 0.0278026i | ||||
\(716\) | −33.6031 | − | 103.420i | −0.0469317 | − | 0.144441i | ||||
\(717\) | 997.582 | − | 324.134i | 1.39133 | − | 0.452070i | ||||
\(718\) | −254.669 | − | 783.791i | −0.354692 | − | 1.09163i | ||||
\(719\) | 293.915 | − | 95.4987i | 0.408783 | − | 0.132822i | −0.0974052 | − | 0.995245i | \(-0.531054\pi\) |
0.506188 | + | 0.862423i | \(0.331054\pi\) | |||||||
\(720\) | 391.017 | + | 127.049i | 0.543079 | + | 0.176457i | ||||
\(721\) | −669.792 | + | 614.314i | −0.928976 | + | 0.852030i | ||||
\(722\) | −188.346 | − | 579.669i | −0.260867 | − | 0.802866i | ||||
\(723\) | 85.1899 | + | 61.8941i | 0.117828 | + | 0.0856073i | ||||
\(724\) | − | 383.114i | − | 0.529163i | ||||||
\(725\) | −6.75030 | + | 20.7753i | −0.00931075 | + | 0.0286556i | ||||
\(726\) | −763.125 | + | 1050.35i | −1.05114 | + | 1.44677i | ||||
\(727\) | 23.0580 | + | 31.7366i | 0.0317167 | + | 0.0436542i | 0.824581 | − | 0.565744i | \(-0.191411\pi\) |
−0.792864 | + | 0.609398i | \(0.791411\pi\) | |||||||
\(728\) | −6.17098 | + | 5.65985i | −0.00847663 | + | 0.00777452i | ||||
\(729\) | 69.4407 | 0.0952547 | ||||||||
\(730\) | −625.098 | + | 454.160i | −0.856299 | + | 0.622138i | ||||
\(731\) | −273.720 | + | 88.9370i | −0.374446 | + | 0.121665i | ||||
\(732\) | −380.423 | + | 1170.82i | −0.519704 | + | 1.59948i | ||||
\(733\) | 34.6140 | − | 47.6420i | 0.0472223 | − | 0.0649960i | −0.784753 | − | 0.619809i | \(-0.787210\pi\) |
0.831975 | + | 0.554813i | \(0.187210\pi\) | |||||||
\(734\) | 969.599 | − | 1334.54i | 1.32098 | − | 1.81817i | ||||
\(735\) | −870.535 | + | 201.816i | −1.18440 | + | 0.274580i | ||||
\(736\) | 95.2252 | − | 293.073i | 0.129382 | − | 0.398197i | ||||
\(737\) | −13.3011 | −0.0180476 | ||||||||
\(738\) | −512.140 | + | 354.770i | −0.693956 | + | 0.480719i | ||||
\(739\) | −53.0021 | −0.0717213 | −0.0358607 | − | 0.999357i | \(-0.511417\pi\) | ||||
−0.0358607 | + | 0.999357i | \(0.511417\pi\) | |||||||
\(740\) | 1056.08 | + | 343.143i | 1.42714 | + | 0.463706i | ||||
\(741\) | 1018.45i | 1.37443i | ||||||||
\(742\) | −950.624 | + | 1682.01i | −1.28116 | + | 2.26686i | ||||
\(743\) | 975.845 | + | 708.993i | 1.31339 | + | 0.954230i | 0.999989 | + | 0.00460783i | \(0.00146672\pi\) |
0.313396 | + | 0.949623i | \(0.398533\pi\) | |||||||
\(744\) | 0.612213 | − | 1.88420i | 0.000822867 | − | 0.00253252i | ||||
\(745\) | 1148.03 | − | 373.018i | 1.54098 | − | 0.500695i | ||||
\(746\) | 326.309 | − | 237.078i | 0.437412 | − | 0.317798i | ||||
\(747\) | − | 171.610i | − | 0.229732i | ||||||
\(748\) | 4.52134 | + | 6.22308i | 0.00604457 | + | 0.00831963i | ||||
\(749\) | 302.372 | + | 329.679i | 0.403701 | + | 0.440159i | ||||
\(750\) | 1121.75 | + | 814.999i | 1.49567 | + | 1.08667i | ||||
\(751\) | −405.985 | + | 1249.49i | −0.540593 | + | 1.66377i | 0.190652 | + | 0.981658i | \(0.438940\pi\) |
−0.731244 | + | 0.682116i | \(0.761060\pi\) | |||||||
\(752\) | 74.8583i | 0.0995456i | ||||||||
\(753\) | −1453.31 | − | 1055.89i | −1.93002 | − | 1.40224i | ||||
\(754\) | 708.304 | − | 230.142i | 0.939395 | − | 0.305228i | ||||
\(755\) | −173.339 | − | 238.580i | −0.229588 | − | 0.316000i | ||||
\(756\) | −77.0797 | + | 379.746i | −0.101957 | + | 0.502309i | ||||
\(757\) | 195.693 | + | 602.281i | 0.258511 | + | 0.795616i | 0.993118 | + | 0.117122i | \(0.0373669\pi\) |
−0.734606 | + | 0.678494i | \(0.762633\pi\) | |||||||
\(758\) | 647.723 | + | 1993.49i | 0.854516 | + | 2.62993i | ||||
\(759\) | −4.78547 | + | 1.55489i | −0.00630497 | + | 0.00204861i | ||||
\(760\) | −0.964844 | − | 2.96949i | −0.00126953 | − | 0.00390722i | ||||
\(761\) | −229.502 | − | 74.5697i | −0.301579 | − | 0.0979891i | 0.154319 | − | 0.988021i | \(-0.450682\pi\) |
−0.455898 | + | 0.890032i | \(0.650682\pi\) | |||||||
\(762\) | 1149.28 | + | 1581.84i | 1.50824 | + | 2.07591i | ||||
\(763\) | −553.966 | + | 252.762i | −0.726037 | + | 0.331275i | ||||
\(764\) | −420.179 | − | 305.278i | −0.549973 | − | 0.399579i | ||||
\(765\) | 253.179 | 0.330953 | ||||||||
\(766\) | 790.774 | + | 256.938i | 1.03234 | + | 0.335428i | ||||
\(767\) | −871.849 | − | 633.435i | −1.13670 | − | 0.825861i | ||||
\(768\) | 564.881 | + | 777.492i | 0.735522 | + | 1.01236i | ||||
\(769\) | 428.606 | + | 589.925i | 0.557355 | + | 0.767133i | 0.990987 | − | 0.133957i | \(-0.0427683\pi\) |
−0.433632 | + | 0.901090i | \(0.642768\pi\) | |||||||
\(770\) | 18.4958 | − | 2.11588i | 0.0240205 | − | 0.00274790i | ||||
\(771\) | −570.714 | + | 414.648i | −0.740226 | + | 0.537806i | ||||
\(772\) | −349.062 | − | 1074.30i | −0.452152 | − | 1.39158i | ||||
\(773\) | −675.111 | − | 219.357i | −0.873365 | − | 0.283773i | −0.162165 | − | 0.986764i | \(-0.551848\pi\) |
−0.711200 | + | 0.702990i | \(0.751848\pi\) | |||||||
\(774\) | −360.820 | − | 262.151i | −0.466175 | − | 0.338696i | ||||
\(775\) | −10.5668 | + | 14.5440i | −0.0136346 | + | 0.0187664i | ||||
\(776\) | − | 3.92348i | − | 0.00505604i | ||||||
\(777\) | −303.064 | + | 1493.09i | −0.390044 | + | 1.92161i | ||||
\(778\) | −666.017 | −0.856063 | ||||||||
\(779\) | −467.218 | − | 163.515i | −0.599766 | − | 0.209904i | ||||
\(780\) | − | 1631.25i | − | 2.09135i | ||||||
\(781\) | 1.43651 | − | 4.42114i | 0.00183933 | − | 0.00566087i | ||||
\(782\) | − | 188.861i | − | 0.241510i | ||||||
\(783\) | 95.6691 | − | 131.677i | 0.122183 | − | 0.168170i | ||||
\(784\) | −718.513 | − | 304.217i | −0.916471 | − | 0.388032i | ||||
\(785\) | 254.081 | − | 781.982i | 0.323671 | − | 0.996156i | ||||
\(786\) | 405.012 | + | 1246.50i | 0.515283 | + | 1.58588i | ||||
\(787\) | 612.925 | + | 843.619i | 0.778812 | + | 1.07194i | 0.995412 | + | 0.0956821i | \(0.0305032\pi\) |
−0.216600 | + | 0.976260i | \(0.569497\pi\) | |||||||
\(788\) | −425.290 | −0.539708 | ||||||||
\(789\) | 856.250 | + | 1178.53i | 1.08523 | + | 1.49370i | ||||
\(790\) | −251.642 | − | 346.355i | −0.318534 | − | 0.438424i | ||||
\(791\) | −205.455 | + | 363.528i | −0.259741 | + | 0.459580i | ||||
\(792\) | −0.0173959 | + | 0.0535392i | −2.19646e−5 | + | 6.76000e-5i | ||||
\(793\) | −1798.65 | −2.26816 | ||||||||
\(794\) | −273.491 | + | 376.428i | −0.344447 | + | 0.474091i | ||||
\(795\) | −549.292 | − | 1690.55i | −0.690933 | − | 2.12647i | ||||
\(796\) | 24.3225 | + | 33.4771i | 0.0305559 | + | 0.0420566i | ||||
\(797\) | −1375.15 | − | 446.815i | −1.72541 | − | 0.560621i | −0.732639 | − | 0.680618i | \(-0.761711\pi\) |
−0.992774 | + | 0.119997i | \(0.961711\pi\) | |||||||
\(798\) | 825.248 | − | 376.542i | 1.03415 | − | 0.471858i | ||||
\(799\) | 14.2449 | + | 43.8414i | 0.0178284 | + | 0.0548703i | ||||
\(800\) | 25.8813 | + | 79.6544i | 0.0323516 | + | 0.0995681i | ||||
\(801\) | −601.927 | + | 195.578i | −0.751469 | + | 0.244167i | ||||
\(802\) | 303.595 | − | 934.370i | 0.378548 | − | 1.16505i | ||||
\(803\) | 6.50594 | + | 8.95466i | 0.00810204 | + | 0.0111515i | ||||
\(804\) | 987.256 | − | 320.779i | 1.22793 | − | 0.398979i | ||||
\(805\) | −199.432 | − | 112.713i | −0.247742 | − | 0.140017i | ||||
\(806\) | 612.911 | 0.760436 | ||||||||
\(807\) | −473.430 | + | 1457.07i | −0.586654 | + | 1.80554i | ||||
\(808\) | 0.206525 | − | 0.284257i | 0.000255600 | − | 0.000351804i | ||||
\(809\) | −659.483 | + | 479.143i | −0.815183 | + | 0.592265i | −0.915329 | − | 0.402708i | \(-0.868069\pi\) |
0.100146 | + | 0.994973i | \(0.468069\pi\) | |||||||
\(810\) | −804.884 | − | 1107.83i | −0.993683 | − | 1.36769i | ||||
\(811\) | − | 471.822i | − | 0.581778i | −0.956757 | − | 0.290889i | \(-0.906049\pi\) | ||
0.956757 | − | 0.290889i | \(-0.0939511\pi\) | |||||||
\(812\) | −224.709 | − | 245.002i | −0.276735 | − | 0.301727i | ||||
\(813\) | −104.335 | − | 321.109i | −0.128333 | − | 0.394968i | ||||
\(814\) | 9.80796 | − | 30.1858i | 0.0120491 | − | 0.0370833i | ||||
\(815\) | −776.745 | + | 1069.10i | −0.953061 | + | 1.31178i | ||||
\(816\) | 478.800 | + | 347.868i | 0.586764 | + | 0.426309i | ||||
\(817\) | − | 354.359i | − | 0.433732i | ||||||
\(818\) | −1684.55 | − | 547.344i | −2.05935 | − | 0.669124i | ||||
\(819\) | 830.572 | − | 95.0158i | 1.01413 | − | 0.116014i | ||||
\(820\) | 748.340 | + | 261.901i | 0.912609 | + | 0.319391i | ||||
\(821\) | −71.7083 | −0.0873426 | −0.0436713 | − | 0.999046i | \(-0.513905\pi\) | ||||
−0.0436713 | + | 0.999046i | \(0.513905\pi\) | |||||||
\(822\) | 1618.20 | + | 525.784i | 1.96861 | + | 0.639639i | ||||
\(823\) | 1017.94 | 1.23686 | 0.618430 | − | 0.785840i | \(-0.287769\pi\) | ||||
0.618430 | + | 0.785840i | \(0.287769\pi\) | |||||||
\(824\) | −4.10177 | + | 5.64561i | −0.00497788 | + | 0.00685146i | ||||
\(825\) | 0.803842 | − | 1.10639i | 0.000974355 | − | 0.00134108i | ||||
\(826\) | −190.930 | + | 940.648i | −0.231150 | + | 1.13880i | ||||
\(827\) | −197.450 | − | 607.687i | −0.238754 | − | 0.734809i | −0.996601 | − | 0.0823773i | \(-0.973749\pi\) |
0.757847 | − | 0.652432i | \(-0.226251\pi\) | |||||||
\(828\) | 118.667 | − | 86.2164i | 0.143317 | − | 0.104126i | ||||
\(829\) | 800.765i | 0.965941i | 0.875637 | + | 0.482971i | \(0.160442\pi\) | ||||
−0.875637 | + | 0.482971i | \(0.839558\pi\) | |||||||
\(830\) | −352.527 | + | 256.126i | −0.424731 | + | 0.308585i | ||||
\(831\) | −716.771 | − | 986.551i | −0.862541 | − | 1.18719i | ||||
\(832\) | 845.158 | − | 1163.26i | 1.01581 | − | 1.39815i | ||||
\(833\) | −478.693 | − | 41.4400i | −0.574662 | − | 0.0497478i | ||||
\(834\) | −693.116 | −0.831074 | ||||||||
\(835\) | 991.566 | + | 720.415i | 1.18750 | + | 0.862773i | ||||
\(836\) | −9.00736 | + | 2.92667i | −0.0107743 | + | 0.00350080i | ||||
\(837\) | 108.366 | − | 78.7329i | 0.129470 | − | 0.0940655i | ||||
\(838\) | −449.556 | − | 146.070i | −0.536463 | − | 0.174307i | ||||
\(839\) | −1142.35 | + | 371.171i | −1.36156 | + | 0.442397i | −0.896563 | − | 0.442916i | \(-0.853944\pi\) |
−0.464995 | + | 0.885313i | \(0.653944\pi\) | |||||||
\(840\) | −6.24236 | + | 2.84825i | −0.00743138 | + | 0.00339077i | ||||
\(841\) | −216.732 | − | 667.032i | −0.257707 | − | 0.793141i | ||||
\(842\) | −208.827 | − | 642.702i | −0.248013 | − | 0.763304i | ||||
\(843\) | 284.392 | + | 92.4045i | 0.337357 | + | 0.109614i | ||||
\(844\) | 540.518 | − | 392.709i | 0.640424 | − | 0.465295i | ||||
\(845\) | 1493.31 | − | 485.207i | 1.76724 | − | 0.574210i | ||||
\(846\) | −41.9884 | + | 57.7921i | −0.0496317 | + | 0.0683121i | ||||
\(847\) | 96.2369 | + | 841.247i | 0.113621 | + | 0.993207i | ||||
\(848\) | 479.612 | − | 1476.09i | 0.565580 | − | 1.74068i | ||||
\(849\) | −385.092 | − | 279.786i | −0.453583 | − | 0.329547i | ||||
\(850\) | 30.1714 | + | 41.5273i | 0.0354957 | + | 0.0488557i | ||||
\(851\) | −315.969 | + | 229.565i | −0.371292 | + | 0.269759i | ||||
\(852\) | 362.796i | 0.425817i | ||||||||
\(853\) | −481.422 | − | 662.621i | −0.564387 | − | 0.776812i | 0.427489 | − | 0.904021i | \(-0.359398\pi\) |
−0.991876 | + | 0.127208i | \(0.959398\pi\) | |||||||
\(854\) | 664.996 | + | 1457.44i | 0.778684 | + | 1.70660i | ||||
\(855\) | −96.3280 | + | 296.467i | −0.112664 | + | 0.346745i | ||||
\(856\) | 2.77883 | + | 2.01894i | 0.00324629 | + | 0.00235857i | ||||
\(857\) | 636.651 | − | 876.275i | 0.742884 | − | 1.02249i | −0.255564 | − | 0.966792i | \(-0.582261\pi\) |
0.998448 | − | 0.0556993i | \(-0.0177388\pi\) | |||||||
\(858\) | −46.6256 | −0.0543422 | ||||||||
\(859\) | 807.003 | + | 262.211i | 0.939468 | + | 0.305252i | 0.738429 | − | 0.674332i | \(-0.235568\pi\) |
0.201039 | + | 0.979583i | \(0.435568\pi\) | |||||||
\(860\) | 567.574i | 0.659969i | ||||||||
\(861\) | −240.310 | + | 1060.93i | −0.279106 | + | 1.23221i | ||||
\(862\) | 506.501 | 0.587588 | ||||||||
\(863\) | −83.4246 | + | 256.754i | −0.0966681 | + | 0.297514i | −0.987685 | − | 0.156457i | \(-0.949993\pi\) |
0.891017 | + | 0.453970i | \(0.149993\pi\) | |||||||
\(864\) | − | 624.045i | − | 0.722275i | ||||||
\(865\) | −1082.49 | − | 786.472i | −1.25143 | − | 0.909217i | ||||
\(866\) | 841.239 | − | 1157.87i | 0.971408 | − | 1.33703i | ||||
\(867\) | −695.163 | − | 225.872i | −0.801803 | − | 0.260522i | ||||
\(868\) | −113.571 | − | 248.907i | −0.130842 | − | 0.286759i | ||||
\(869\) | −4.96161 | + | 3.60482i | −0.00570956 | + | 0.00414824i | ||||
\(870\) | 610.273 | 0.701463 | ||||||||
\(871\) | 891.465 | + | 1227.00i | 1.02350 | + | 1.40872i | ||||
\(872\) | −3.78243 | + | 2.74810i | −0.00433765 | + | 0.00315149i | ||||
\(873\) | −230.243 | + | 316.902i | −0.263737 | + | 0.363003i | ||||
\(874\) | 221.152 | + | 71.8567i | 0.253035 | + | 0.0822159i | ||||
\(875\) | 898.431 | − | 102.779i | 1.02678 | − | 0.117461i | ||||
\(876\) | −698.851 | − | 507.745i | −0.797775 | − | 0.579617i | ||||
\(877\) | 382.179 | + | 1176.23i | 0.435780 | + | 1.34119i | 0.892286 | + | 0.451471i | \(0.149101\pi\) |
−0.456506 | + | 0.889720i | \(0.650899\pi\) | |||||||
\(878\) | −1104.94 | − | 1520.82i | −1.25847 | − | 1.73214i | ||||
\(879\) | 200.649 | − | 617.535i | 0.228270 | − | 0.702543i | ||||
\(880\) | −14.2229 | + | 4.62131i | −0.0161624 | + | 0.00525149i | ||||
\(881\) | −905.286 | + | 294.145i | −1.02757 | + | 0.333876i | −0.773827 | − | 0.633396i | \(-0.781660\pi\) |
−0.253739 | + | 0.967273i | \(0.581660\pi\) | |||||||
\(882\) | −384.070 | − | 637.879i | −0.435453 | − | 0.723219i | ||||
\(883\) | −412.476 | − | 1269.47i | −0.467130 | − | 1.43768i | −0.856284 | − | 0.516506i | \(-0.827233\pi\) |
0.389154 | − | 0.921173i | \(-0.372767\pi\) | |||||||
\(884\) | 271.037 | − | 834.165i | 0.306602 | − | 0.943625i | ||||
\(885\) | −519.055 | − | 714.418i | −0.586503 | − | 0.807252i | ||||
\(886\) | −192.444 | − | 592.282i | −0.217206 | − | 0.668490i | ||||
\(887\) | −881.877 | + | 1213.80i | −0.994224 | + | 1.36843i | −0.0654212 | + | 0.997858i | \(0.520839\pi\) |
−0.928803 | + | 0.370574i | \(0.879161\pi\) | |||||||
\(888\) | 11.6981i | 0.0131736i | ||||||||
\(889\) | 1249.71 | + | 253.662i | 1.40574 | + | 0.285334i | ||||
\(890\) | 1300.13 | + | 944.602i | 1.46082 | + | 1.06135i | ||||
\(891\) | −15.8699 | + | 11.5301i | −0.0178113 | + | 0.0129407i | ||||
\(892\) | 970.926 | + | 1336.36i | 1.08848 | + | 1.49817i | ||||
\(893\) | −56.7572 | −0.0635579 | ||||||||
\(894\) | 1582.72 | + | 2178.43i | 1.77039 | + | 2.43673i | ||||
\(895\) | 123.816 | − | 40.2302i | 0.138342 | − | 0.0449500i | ||||
\(896\) | −11.7988 | − | 2.39488i | −0.0131683 | − | 0.00267285i | ||||
\(897\) | 464.166 | + | 337.236i | 0.517465 | + | 0.375960i | ||||
\(898\) | −155.728 | − | 113.143i | −0.173416 | − | 0.125994i | ||||
\(899\) | 114.921i | 0.127832i | ||||||||
\(900\) | −12.3194 | + | 37.9151i | −0.0136882 | + | 0.0421279i | ||||
\(901\) | − | 955.753i | − | 1.06077i | ||||||
\(902\) | 7.48585 | − | 21.3896i | 0.00829916 | − | 0.0237135i | ||||
\(903\) | −773.679 | + | 88.5074i | −0.856788 | + | 0.0980148i | ||||
\(904\) | −0.990771 | + | 3.04928i | −0.00109599 | + | 0.00337310i | ||||
\(905\) | 458.671 | 0.506819 | ||||||||
\(906\) | 386.665 | − | 532.198i | 0.426782 | − | 0.587416i | ||||
\(907\) | −654.404 | − | 475.452i | −0.721504 | − | 0.524203i | 0.165361 | − | 0.986233i | \(-0.447121\pi\) |
−0.886864 | + | 0.462030i | \(0.847121\pi\) | |||||||
\(908\) | −241.241 | − | 78.3839i | −0.265684 | − | 0.0863258i | ||||
\(909\) | −33.3623 | + | 10.8401i | −0.0367022 | + | 0.0119253i | ||||
\(910\) | −1434.81 | − | 1564.38i | −1.57671 | − | 1.71910i | ||||
\(911\) | −630.340 | −0.691921 | −0.345961 | − | 0.938249i | \(-0.612447\pi\) | ||||
−0.345961 | + | 0.938249i | \(0.612447\pi\) | |||||||
\(912\) | −589.517 | + | 428.309i | −0.646401 | + | 0.469638i | ||||
\(913\) | 3.66906 | + | 5.05002i | 0.00401868 | + | 0.00553124i | ||||
\(914\) | 1411.54 | + | 1025.54i | 1.54435 | + | 1.12204i | ||||
\(915\) | −1401.73 | − | 455.449i | −1.53194 | − | 0.497759i | ||||
\(916\) | 215.389i | 0.235141i | ||||||||
\(917\) | 744.157 | + | 420.575i | 0.811512 | + | 0.458643i | ||||
\(918\) | −118.187 | − | 363.743i | −0.128744 | − | 0.396234i | ||||
\(919\) | 429.544 | − | 312.082i | 0.467403 | − | 0.339588i | −0.329025 | − | 0.944321i | \(-0.606720\pi\) |
0.796428 | + | 0.604733i | \(0.206720\pi\) | |||||||
\(920\) | −1.67284 | − | 0.543540i | −0.00181831 | − | 0.000590804i | ||||
\(921\) | −367.535 | − | 1131.16i | −0.399061 | − | 1.22818i | ||||
\(922\) | −1556.10 | + | 505.609i | −1.68775 | + | 0.548383i | ||||
\(923\) | −504.117 | + | 163.798i | −0.546172 | + | 0.177462i | ||||
\(924\) | 8.63961 | + | 18.9350i | 0.00935022 | + | 0.0204924i | ||||
\(925\) | 32.8023 | − | 100.955i | 0.0354619 | − | 0.109140i | ||||
\(926\) | 1589.88 | − | 1155.11i | 1.71693 | − | 1.24742i | ||||
\(927\) | 662.605 | − | 215.293i | 0.714784 | − | 0.232248i | ||||
\(928\) | 433.146 | + | 314.699i | 0.466752 | + | 0.339115i | ||||
\(929\) | − | 1455.46i | − | 1.56669i | −0.621586 | − | 0.783346i | \(-0.713511\pi\) | ||
0.621586 | − | 0.783346i | \(-0.286489\pi\) | |||||||
\(930\) | 477.656 | + | 155.200i | 0.513608 | + | 0.166881i | ||||
\(931\) | 230.656 | − | 544.773i | 0.247751 | − | 0.585149i | ||||
\(932\) | −965.807 | + | 701.700i | −1.03627 | + | 0.752897i | ||||
\(933\) | 253.449 | − | 184.142i | 0.271650 | − | 0.197365i | ||||
\(934\) | 327.944i | 0.351117i | ||||||||
\(935\) | −7.45039 | + | 5.41302i | −0.00796833 | + | 0.00578933i | ||||
\(936\) | 6.10477 | − | 1.98356i | 0.00652219 | − | 0.00211919i | ||||
\(937\) | −209.065 | − | 67.9292i | −0.223121 | − | 0.0724965i | 0.195323 | − | 0.980739i | \(-0.437424\pi\) |
−0.418444 | + | 0.908242i | \(0.637424\pi\) | |||||||
\(938\) | 664.637 | − | 1175.99i | 0.708568 | − | 1.25372i | ||||
\(939\) | −1072.99 | − | 779.572i | −1.14269 | − | 0.830216i | ||||
\(940\) | 90.9076 | 0.0967102 | ||||||||
\(941\) | 563.466 | + | 183.081i | 0.598795 | + | 0.194560i | 0.592703 | − | 0.805421i | \(-0.298061\pi\) |
0.00609213 | + | 0.999981i | \(0.498061\pi\) | |||||||
\(942\) | 1834.13 | 1.94706 | ||||||||
\(943\) | −229.231 | + | 158.793i | −0.243087 | + | 0.168391i | ||||
\(944\) | − | 771.048i | − | 0.816788i | ||||||
\(945\) | −454.639 | − | 92.2812i | −0.481099 | − | 0.0976521i | ||||
\(946\) | 16.2228 | 0.0171489 | ||||||||
\(947\) | 1215.78 | + | 883.319i | 1.28383 | + | 0.932755i | 0.999661 | − | 0.0260197i | \(-0.00828325\pi\) |
0.284166 | + | 0.958775i | \(0.408283\pi\) | |||||||
\(948\) | 281.332 | − | 387.220i | 0.296764 | − | 0.408460i | ||||
\(949\) | 390.006 | − | 1200.32i | 0.410965 | − | 1.26482i | ||||
\(950\) | −60.1071 | + | 19.5300i | −0.0632706 | + | 0.0205579i | ||||
\(951\) | −705.171 | − | 970.584i | −0.741504 | − | 1.02059i | ||||
\(952\) | −3.66537 | + | 0.419311i | −0.00385018 | + | 0.000440453i | ||||
\(953\) | 330.756 | − | 240.309i | 0.347069 | − | 0.252160i | −0.400570 | − | 0.916266i | \(-0.631188\pi\) |
0.747638 | + | 0.664106i | \(0.231188\pi\) | |||||||
\(954\) | 1198.22 | − | 870.557i | 1.25599 | − | 0.912533i | ||||
\(955\) | 365.484 | − | 503.046i | 0.382706 | − | 0.526750i | ||||
\(956\) | 343.694 | − | 1057.78i | 0.359512 | − | 1.10647i | ||||
\(957\) | − | 8.74229i | − | 0.00913509i | ||||||
\(958\) | −269.269 | + | 370.617i | −0.281074 | + | 0.386866i | ||||
\(959\) | 1009.55 | − | 460.634i | 1.05271 | − | 0.480327i | ||||
\(960\) | 953.208 | − | 692.546i | 0.992925 | − | 0.721402i | ||||
\(961\) | 267.740 | − | 824.018i | 0.278605 | − | 0.857459i | ||||
\(962\) | −3441.92 | + | 1118.35i | −3.57787 | + | 1.16252i | ||||
\(963\) | −105.970 | − | 326.141i | −0.110041 | − | 0.338672i | ||||
\(964\) | 106.190 | − | 34.5032i | 0.110156 | − | 0.0357917i | ||||
\(965\) | 1286.17 | − | 417.903i | 1.33282 | − | 0.433060i | ||||
\(966\) | 101.650 | − | 500.794i | 0.105227 | − | 0.518421i | ||||
\(967\) | 51.1220 | − | 37.1423i | 0.0528666 | − | 0.0384098i | −0.561038 | − | 0.827790i | \(-0.689598\pi\) |
0.613905 | + | 0.789380i | \(0.289598\pi\) | |||||||
\(968\) | 2.00905 | + | 6.18323i | 0.00207547 | + | 0.00638763i | ||||
\(969\) | −263.752 | + | 363.024i | −0.272190 | + | 0.374637i | ||||
\(970\) | 994.627 | 1.02539 | ||||||||
\(971\) | 759.686 | + | 246.837i | 0.782375 | + | 0.254209i | 0.672854 | − | 0.739775i | \(-0.265068\pi\) |
0.109521 | + | 0.993984i | \(0.465068\pi\) | |||||||
\(972\) | 607.013 | − | 835.482i | 0.624499 | − | 0.859549i | ||||
\(973\) | −333.138 | + | 305.545i | −0.342383 | + | 0.314024i | ||||
\(974\) | 223.245 | − | 162.197i | 0.229205 | − | 0.166527i | ||||
\(975\) | −155.937 | −0.159936 | ||||||||
\(976\) | −756.420 | − | 1041.12i | −0.775020 | − | 1.06672i | ||||
\(977\) | 396.948 | + | 1221.68i | 0.406292 | + | 1.25044i | 0.919811 | + | 0.392361i | \(0.128342\pi\) |
−0.513519 | + | 0.858078i | \(0.671658\pi\) | |||||||
\(978\) | −2803.53 | − | 910.923i | −2.86660 | − | 0.931414i | ||||
\(979\) | 13.5316 | − | 18.6247i | 0.0138219 | − | 0.0190242i | ||||
\(980\) | −369.440 | + | 872.560i | −0.376979 | + | 0.890367i | ||||
\(981\) | 466.776 | 0.475817 | ||||||||
\(982\) | 800.218 | − | 2462.82i | 0.814886 | − | 2.50796i | ||||
\(983\) | 1818.68i | 1.85014i | 0.379802 | + | 0.925068i | \(0.375992\pi\) | ||||
−0.379802 | + | 0.925068i | \(0.624008\pi\) | |||||||
\(984\) | −0.187863 | + | 8.35032i | −0.000190917 | + | 0.00848610i | ||||
\(985\) | − | 509.165i | − | 0.516918i | ||||||
\(986\) | 312.072 | + | 101.398i | 0.316503 | + | 0.102838i | ||||
\(987\) | 14.1761 | + | 123.919i | 0.0143628 | + | 0.125551i | ||||
\(988\) | 873.667 | + | 634.756i | 0.884279 | + | 0.642466i | ||||
\(989\) | −161.501 | − | 117.337i | −0.163297 | − | 0.118642i | ||||
\(990\) | −13.5725 | − | 4.40998i | −0.0137096 | − | 0.00445452i | ||||
\(991\) | 423.344 | + | 1302.92i | 0.427189 | + | 1.31475i | 0.900883 | + | 0.434063i | \(0.142920\pi\) |
−0.473694 | + | 0.880690i | \(0.657080\pi\) | |||||||
\(992\) | 258.988 | + | 356.466i | 0.261077 | + | 0.359341i | ||||
\(993\) | − | 1856.66i | − | 1.86975i | ||||||
\(994\) | 319.106 | + | 347.924i | 0.321032 | + | 0.350024i | ||||
\(995\) | −40.0793 | + | 29.1193i | −0.0402807 | + | 0.0292657i | ||||
\(996\) | −394.120 | − | 286.345i | −0.395703 | − | 0.287495i | ||||
\(997\) | 515.401 | + | 167.464i | 0.516952 | + | 0.167968i | 0.555862 | − | 0.831275i | \(-0.312388\pi\) |
−0.0389095 | + | 0.999243i | \(0.512388\pi\) | |||||||
\(998\) | −572.828 | −0.573976 | ||||||||
\(999\) | −464.892 | + | 639.869i | −0.465358 | + | 0.640510i |
(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 | 287.3.o.a.139.9 | ✓ | 216 | |
7.6 | odd | 2 | inner | 287.3.o.a.139.10 | yes | 216 | |
41.18 | even | 5 | inner | 287.3.o.a.223.9 | yes | 216 | |
287.223 | odd | 10 | inner | 287.3.o.a.223.10 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.o.a.139.9 | ✓ | 216 | 1.1 | even | 1 | trivial | |
287.3.o.a.139.10 | yes | 216 | 7.6 | odd | 2 | inner | |
287.3.o.a.223.9 | yes | 216 | 41.18 | even | 5 | inner | |
287.3.o.a.223.10 | yes | 216 | 287.223 | odd | 10 | inner |