Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [547,2,Mod(46,547)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(547, base_ring=CyclotomicField(26))
chi = DirichletCharacter(H, H._module([14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("547.46");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 547 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 547.f (of order \(13\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.36781699056\) |
Analytic rank: | \(0\) |
Dimension: | \(528\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{13})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{13}]$ |
Embedding invariants
Embedding label | 46.7 | ||
Character | \(\chi\) | \(=\) | 547.46 |
Dual form | 547.2.f.a.440.7 |
$q$-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 \(\left(\mathbb{Z}/547\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{7}{13}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.245329 | + | 2.02046i | −0.173474 | + | 1.42868i | 0.602601 | + | 0.798043i | \(0.294131\pi\) |
−0.776075 | + | 0.630641i | \(0.782792\pi\) | |||||||
\(3\) | 0.136449 | 0.0787791 | 0.0393895 | − | 0.999224i | \(-0.487459\pi\) | ||||
0.0393895 | + | 0.999224i | \(0.487459\pi\) | |||||||
\(4\) | −2.08020 | − | 0.512724i | −1.04010 | − | 0.256362i | ||||
\(5\) | 1.38996 | + | 3.66502i | 0.621609 | + | 1.63905i | 0.760955 | + | 0.648805i | \(0.224731\pi\) |
−0.139346 | + | 0.990244i | \(0.544500\pi\) | |||||||
\(6\) | −0.0334750 | + | 0.275691i | −0.0136661 | + | 0.112550i | ||||
\(7\) | −0.418952 | − | 3.45038i | −0.158349 | − | 1.30412i | −0.827698 | − | 0.561174i | \(-0.810350\pi\) |
0.669349 | − | 0.742948i | \(-0.266573\pi\) | |||||||
\(8\) | 0.102818 | − | 0.271108i | 0.0363515 | − | 0.0958510i | ||||
\(9\) | −2.98138 | −0.993794 | ||||||||
\(10\) | −7.74605 | + | 1.90923i | −2.44951 | + | 0.603751i | ||||
\(11\) | −1.23320 | + | 1.78660i | −0.371823 | + | 0.538679i | −0.963574 | − | 0.267442i | \(-0.913822\pi\) |
0.591751 | + | 0.806121i | \(0.298437\pi\) | |||||||
\(12\) | −0.283843 | − | 0.0699609i | −0.0819383 | − | 0.0201960i | ||||
\(13\) | −0.159824 | −0.0443273 | −0.0221636 | − | 0.999754i | \(-0.507055\pi\) | ||||
−0.0221636 | + | 0.999754i | \(0.507055\pi\) | |||||||
\(14\) | 7.07415 | 1.89065 | ||||||||
\(15\) | 0.189659 | + | 0.500090i | 0.0489698 | + | 0.129123i | ||||
\(16\) | −3.27157 | − | 1.71705i | −0.817892 | − | 0.429263i | ||||
\(17\) | 1.49607 | + | 2.16744i | 0.362851 | + | 0.525681i | 0.961309 | − | 0.275474i | \(-0.0888347\pi\) |
−0.598457 | + | 0.801155i | \(0.704219\pi\) | |||||||
\(18\) | 0.731419 | − | 6.02377i | 0.172397 | − | 1.41982i | ||||
\(19\) | −4.18461 | + | 2.19625i | −0.960015 | + | 0.503855i | −0.870520 | − | 0.492133i | \(-0.836218\pi\) |
−0.0894947 | + | 0.995987i | \(0.528525\pi\) | |||||||
\(20\) | −1.01225 | − | 8.33666i | −0.226347 | − | 1.86413i | ||||
\(21\) | −0.0571658 | − | 0.470803i | −0.0124746 | − | 0.102738i | ||||
\(22\) | −3.30721 | − | 2.92994i | −0.705100 | − | 0.624664i | ||||
\(23\) | −1.24042 | + | 1.09892i | −0.258645 | + | 0.229140i | −0.782473 | − | 0.622684i | \(-0.786042\pi\) |
0.523828 | + | 0.851824i | \(0.324504\pi\) | |||||||
\(24\) | 0.0140294 | − | 0.0369925i | 0.00286374 | − | 0.00755106i | ||||
\(25\) | −7.75786 | + | 6.87286i | −1.55157 | + | 1.37457i | ||||
\(26\) | 0.0392095 | − | 0.322919i | 0.00768961 | − | 0.0633296i | ||||
\(27\) | −0.816156 | −0.157069 | ||||||||
\(28\) | −0.897588 | + | 7.39231i | −0.169628 | + | 1.39701i | ||||
\(29\) | 2.80462 | + | 2.48468i | 0.520806 | + | 0.461393i | 0.882103 | − | 0.471057i | \(-0.156127\pi\) |
−0.361297 | + | 0.932451i | \(0.617666\pi\) | |||||||
\(30\) | −1.05694 | + | 0.260513i | −0.192971 | + | 0.0475630i | ||||
\(31\) | 8.93811 | + | 4.69108i | 1.60533 | + | 0.842544i | 0.998875 | + | 0.0474283i | \(0.0151026\pi\) |
0.606458 | + | 0.795115i | \(0.292590\pi\) | |||||||
\(32\) | 4.60127 | − | 6.66609i | 0.813398 | − | 1.17841i | ||||
\(33\) | −0.168269 | + | 0.243780i | −0.0292919 | + | 0.0424366i | ||||
\(34\) | −4.74626 | + | 2.49103i | −0.813977 | + | 0.427208i | ||||
\(35\) | 12.0634 | − | 6.33136i | 2.03909 | − | 1.07020i | ||||
\(36\) | 6.20188 | + | 1.52863i | 1.03365 | + | 0.254771i | ||||
\(37\) | −5.15700 | − | 4.56871i | −0.847806 | − | 0.751091i | 0.122629 | − | 0.992453i | \(-0.460867\pi\) |
−0.970435 | + | 0.241362i | \(0.922406\pi\) | |||||||
\(38\) | −3.41084 | − | 8.99365i | −0.553312 | − | 1.45896i | ||||
\(39\) | −0.0218079 | −0.00349206 | ||||||||
\(40\) | 1.13653 | 0.179701 | ||||||||
\(41\) | −6.97657 | −1.08956 | −0.544778 | − | 0.838580i | \(-0.683386\pi\) | ||||
−0.544778 | + | 0.838580i | \(0.683386\pi\) | |||||||
\(42\) | 0.965264 | 0.148943 | ||||||||
\(43\) | 7.64250 | + | 1.88371i | 1.16547 | + | 0.287263i | 0.774156 | − | 0.632995i | \(-0.218175\pi\) |
0.391314 | + | 0.920257i | \(0.372021\pi\) | |||||||
\(44\) | 3.48133 | − | 3.08419i | 0.524831 | − | 0.464960i | ||||
\(45\) | −4.14400 | − | 10.9268i | −0.617751 | − | 1.62888i | ||||
\(46\) | −1.91601 | − | 2.77582i | −0.282500 | − | 0.409272i | ||||
\(47\) | 5.64360 | + | 4.99979i | 0.823204 | + | 0.729295i | 0.965465 | − | 0.260534i | \(-0.0838987\pi\) |
−0.142261 | + | 0.989829i | \(0.545437\pi\) | |||||||
\(48\) | −0.446404 | − | 0.234291i | −0.0644328 | − | 0.0338169i | ||||
\(49\) | −4.93302 | + | 1.21588i | −0.704718 | + | 0.173697i | ||||
\(50\) | −11.9831 | − | 17.3606i | −1.69467 | − | 2.45516i | ||||
\(51\) | 0.204138 | + | 0.295746i | 0.0285851 | + | 0.0414127i | ||||
\(52\) | 0.332467 | + | 0.0819458i | 0.0461049 | + | 0.0113638i | ||||
\(53\) | −2.27225 | − | 5.99144i | −0.312118 | − | 0.822987i | −0.995659 | − | 0.0930753i | \(-0.970330\pi\) |
0.683541 | − | 0.729912i | \(-0.260439\pi\) | |||||||
\(54\) | 0.200226 | − | 1.64901i | 0.0272474 | − | 0.224402i | ||||
\(55\) | −8.26201 | − | 2.03640i | −1.11405 | − | 0.274589i | ||||
\(56\) | −0.978500 | − | 0.241179i | −0.130758 | − | 0.0322289i | ||||
\(57\) | −0.570987 | + | 0.299677i | −0.0756291 | + | 0.0396932i | ||||
\(58\) | −5.70826 | + | 5.05708i | −0.749531 | + | 0.664027i | ||||
\(59\) | −0.751606 | − | 0.394473i | −0.0978508 | − | 0.0513560i | 0.415088 | − | 0.909781i | \(-0.363751\pi\) |
−0.512939 | + | 0.858425i | \(0.671443\pi\) | |||||||
\(60\) | −0.138121 | − | 1.13753i | −0.0178314 | − | 0.146855i | ||||
\(61\) | 0.360512 | − | 2.96908i | 0.0461589 | − | 0.380152i | −0.951262 | − | 0.308383i | \(-0.900212\pi\) |
0.997421 | − | 0.0717697i | \(-0.0228647\pi\) | |||||||
\(62\) | −11.6709 | + | 16.9083i | −1.48221 | + | 2.14735i | ||||
\(63\) | 1.24906 | + | 10.2869i | 0.157366 | + | 1.29603i | ||||
\(64\) | 6.80860 | + | 6.03190i | 0.851075 | + | 0.753987i | ||||
\(65\) | −0.222149 | − | 0.585760i | −0.0275542 | − | 0.0726545i | ||||
\(66\) | −0.451267 | − | 0.399788i | −0.0555472 | − | 0.0492105i | ||||
\(67\) | 3.04699 | + | 0.751015i | 0.372249 | + | 0.0917511i | 0.421002 | − | 0.907060i | \(-0.361679\pi\) |
−0.0487531 | + | 0.998811i | \(0.515525\pi\) | |||||||
\(68\) | −2.00084 | − | 5.27579i | −0.242638 | − | 0.639783i | ||||
\(69\) | −0.169254 | + | 0.149946i | −0.0203758 | + | 0.0180514i | ||||
\(70\) | 9.83279 | + | 25.9269i | 1.17524 | + | 3.09886i | ||||
\(71\) | 10.1724 | − | 5.33888i | 1.20724 | − | 0.633608i | 0.263616 | − | 0.964628i | \(-0.415085\pi\) |
0.943624 | + | 0.331019i | \(0.107393\pi\) | |||||||
\(72\) | −0.306538 | + | 0.808275i | −0.0361259 | + | 0.0952561i | ||||
\(73\) | 2.88409 | − | 7.60472i | 0.337557 | − | 0.890065i | −0.653536 | − | 0.756895i | \(-0.726715\pi\) |
0.991093 | − | 0.133170i | \(-0.0425155\pi\) | |||||||
\(74\) | 10.4961 | − | 9.29870i | 1.22014 | − | 1.08095i | ||||
\(75\) | −1.05855 | + | 0.937798i | −0.122231 | + | 0.108288i | ||||
\(76\) | 9.83091 | − | 2.42310i | 1.12768 | − | 0.277949i | ||||
\(77\) | 6.68109 | + | 3.50651i | 0.761381 | + | 0.399603i | ||||
\(78\) | 0.00535011 | − | 0.0440621i | 0.000605780 | − | 0.00498905i | ||||
\(79\) | 0.396070 | + | 0.0976224i | 0.0445613 | + | 0.0109834i | 0.261533 | − | 0.965194i | \(-0.415772\pi\) |
−0.216972 | + | 0.976178i | \(0.569618\pi\) | |||||||
\(80\) | 1.74569 | − | 14.3770i | 0.195174 | − | 1.60740i | ||||
\(81\) | 8.83278 | 0.981420 | ||||||||
\(82\) | 1.71155 | − | 14.0959i | 0.189009 | − | 1.55663i | ||||
\(83\) | 3.85387 | + | 10.1618i | 0.423017 | + | 1.11540i | 0.961991 | + | 0.273082i | \(0.0880430\pi\) |
−0.538974 | + | 0.842323i | \(0.681188\pi\) | |||||||
\(84\) | −0.122475 | + | 1.00868i | −0.0133632 | + | 0.110056i | ||||
\(85\) | −5.86423 | + | 8.49580i | −0.636065 | + | 0.921499i | ||||
\(86\) | −5.68088 | + | 14.9793i | −0.612586 | + | 1.61526i | ||||
\(87\) | 0.382689 | + | 0.339033i | 0.0410286 | + | 0.0363482i | ||||
\(88\) | 0.357565 | + | 0.518023i | 0.0381166 | + | 0.0552214i | ||||
\(89\) | 1.86094 | + | 15.3262i | 0.197259 | + | 1.62458i | 0.669295 | + | 0.742997i | \(0.266596\pi\) |
−0.472035 | + | 0.881580i | \(0.656480\pi\) | |||||||
\(90\) | 23.0939 | − | 5.69214i | 2.43431 | − | 0.600004i | ||||
\(91\) | 0.0669587 | + | 0.551455i | 0.00701918 | + | 0.0578082i | ||||
\(92\) | 3.14377 | − | 1.64998i | 0.327760 | − | 0.172022i | ||||
\(93\) | 1.21960 | + | 0.640096i | 0.126467 | + | 0.0663748i | ||||
\(94\) | −11.4864 | + | 10.1761i | −1.18474 | + | 1.04958i | ||||
\(95\) | −13.8658 | − | 12.2840i | −1.42260 | − | 1.26031i | ||||
\(96\) | 0.627841 | − | 0.909584i | 0.0640787 | − | 0.0928341i | ||||
\(97\) | 6.95413 | + | 10.0748i | 0.706085 | + | 1.02294i | 0.997791 | + | 0.0664329i | \(0.0211618\pi\) |
−0.291706 | + | 0.956508i | \(0.594223\pi\) | |||||||
\(98\) | −1.24643 | − | 10.2653i | −0.125909 | − | 1.03695i | ||||
\(99\) | 3.67663 | − | 5.32652i | 0.369516 | − | 0.535336i | ||||
\(100\) | 19.6618 | − | 10.3193i | 1.96618 | − | 1.03193i | ||||
\(101\) | −3.31757 | + | 8.74771i | −0.330111 | + | 0.870430i | 0.662497 | + | 0.749064i | \(0.269497\pi\) |
−0.992608 | + | 0.121366i | \(0.961273\pi\) | |||||||
\(102\) | −0.647624 | + | 0.339900i | −0.0641244 | + | 0.0336551i | ||||
\(103\) | 3.14894 | + | 4.56203i | 0.310274 | + | 0.449510i | 0.946836 | − | 0.321715i | \(-0.104259\pi\) |
−0.636562 | + | 0.771226i | \(0.719644\pi\) | |||||||
\(104\) | −0.0164327 | + | 0.0433296i | −0.00161136 | + | 0.00424881i | ||||
\(105\) | 1.64604 | − | 0.863911i | 0.160637 | − | 0.0843091i | ||||
\(106\) | 12.6629 | − | 3.12113i | 1.22993 | − | 0.303151i | ||||
\(107\) | −10.9075 | + | 15.8022i | −1.05447 | + | 1.52766i | −0.220855 | + | 0.975307i | \(0.570885\pi\) |
−0.833611 | + | 0.552352i | \(0.813730\pi\) | |||||||
\(108\) | 1.69777 | + | 0.418463i | 0.163368 | + | 0.0402666i | ||||
\(109\) | −13.8831 | − | 7.28641i | −1.32976 | − | 0.697912i | −0.357964 | − | 0.933735i | \(-0.616529\pi\) |
−0.971796 | + | 0.235824i | \(0.924221\pi\) | |||||||
\(110\) | 6.14139 | − | 16.1935i | 0.585558 | − | 1.54399i | ||||
\(111\) | −0.703670 | − | 0.623397i | −0.0667894 | − | 0.0591702i | ||||
\(112\) | −4.55385 | + | 12.0075i | −0.430299 | + | 1.13460i | ||||
\(113\) | 2.03276 | + | 1.06688i | 0.191226 | + | 0.100363i | 0.557619 | − | 0.830097i | \(-0.311715\pi\) |
−0.366393 | + | 0.930460i | \(0.619407\pi\) | |||||||
\(114\) | −0.465407 | − | 1.22718i | −0.0435894 | − | 0.114936i | ||||
\(115\) | −5.75169 | − | 3.01872i | −0.536348 | − | 0.281497i | ||||
\(116\) | −4.56023 | − | 6.60664i | −0.423407 | − | 0.613411i | ||||
\(117\) | 0.476497 | 0.0440522 | ||||||||
\(118\) | 0.981409 | − | 1.42182i | 0.0903461 | − | 0.130889i | ||||
\(119\) | 6.85171 | − | 6.07008i | 0.628095 | − | 0.556444i | ||||
\(120\) | 0.155079 | 0.0141567 | ||||||||
\(121\) | 2.22951 | + | 5.87873i | 0.202682 | + | 0.534430i | ||||
\(122\) | 5.91048 | + | 1.45680i | 0.535110 | + | 0.131893i | ||||
\(123\) | −0.951948 | −0.0858343 | ||||||||
\(124\) | −16.1879 | − | 14.3412i | −1.45371 | − | 1.28788i | ||||
\(125\) | −18.6185 | − | 9.77175i | −1.66529 | − | 0.874012i | ||||
\(126\) | −21.0908 | −1.87891 | ||||||||
\(127\) | 13.9220 | − | 3.43147i | 1.23538 | − | 0.304494i | 0.433047 | − | 0.901371i | \(-0.357438\pi\) |
0.802332 | + | 0.596878i | \(0.203592\pi\) | |||||||
\(128\) | −1.73184 | + | 1.53428i | −0.153074 | + | 0.135612i | ||||
\(129\) | 1.04281 | + | 0.257031i | 0.0918147 | + | 0.0226303i | ||||
\(130\) | 1.23801 | − | 0.305141i | 0.108580 | − | 0.0267626i | ||||
\(131\) | 3.00962 | − | 4.36019i | 0.262952 | − | 0.380952i | −0.669162 | − | 0.743116i | \(-0.733347\pi\) |
0.932114 | + | 0.362165i | \(0.117962\pi\) | |||||||
\(132\) | 0.475026 | − | 0.420836i | 0.0413457 | − | 0.0366291i | ||||
\(133\) | 9.33106 | + | 13.5184i | 0.809105 | + | 1.17219i | ||||
\(134\) | −2.26491 | + | 5.97208i | −0.195659 | + | 0.515909i | ||||
\(135\) | −1.13442 | − | 2.99123i | −0.0976357 | − | 0.257444i | ||||
\(136\) | 0.741432 | − | 0.182747i | 0.0635773 | − | 0.0156704i | ||||
\(137\) | −6.09942 | + | 1.50337i | −0.521109 | + | 0.128442i | −0.491092 | − | 0.871108i | \(-0.663402\pi\) |
−0.0300165 | + | 0.999549i | \(0.509556\pi\) | |||||||
\(138\) | −0.261438 | − | 0.378759i | −0.0222551 | − | 0.0322421i | ||||
\(139\) | −8.10426 | + | 1.99752i | −0.687395 | + | 0.169428i | −0.567518 | − | 0.823361i | \(-0.692096\pi\) |
−0.119877 | + | 0.992789i | \(0.538250\pi\) | |||||||
\(140\) | −28.3406 | + | 6.98533i | −2.39522 | + | 0.590368i | ||||
\(141\) | 0.770066 | + | 0.682219i | 0.0648512 | + | 0.0574532i | ||||
\(142\) | 8.29143 | + | 21.8627i | 0.695802 | + | 1.83468i | ||||
\(143\) | 0.197095 | − | 0.285541i | 0.0164819 | − | 0.0238782i | ||||
\(144\) | 9.75380 | + | 5.11919i | 0.812816 | + | 0.426599i | ||||
\(145\) | −5.20810 | + | 13.7326i | −0.432509 | + | 1.14043i | ||||
\(146\) | 14.6575 | + | 7.69285i | 1.21306 | + | 0.636665i | ||||
\(147\) | −0.673108 | + | 0.165906i | −0.0555170 | + | 0.0136837i | ||||
\(148\) | 8.38513 | + | 12.1480i | 0.689254 | + | 0.998556i | ||||
\(149\) | 9.66749 | − | 5.07389i | 0.791992 | − | 0.415669i | −0.0196632 | − | 0.999807i | \(-0.506259\pi\) |
0.811655 | + | 0.584137i | \(0.198567\pi\) | |||||||
\(150\) | −1.63509 | − | 2.36884i | −0.133505 | − | 0.193415i | ||||
\(151\) | 18.0208 | − | 15.9650i | 1.46651 | − | 1.29922i | 0.600063 | − | 0.799953i | \(-0.295142\pi\) |
0.866450 | − | 0.499264i | \(-0.166396\pi\) | |||||||
\(152\) | 0.165169 | + | 1.36029i | 0.0133970 | + | 0.110334i | ||||
\(153\) | −4.46037 | − | 6.46196i | −0.360600 | − | 0.522419i | ||||
\(154\) | −8.72383 | + | 12.6387i | −0.702986 | + | 1.01845i | ||||
\(155\) | −4.76931 | + | 39.2788i | −0.383080 | + | 3.15495i | ||||
\(156\) | 0.0453649 | + | 0.0111814i | 0.00363210 | + | 0.000895232i | ||||
\(157\) | −20.6063 | + | 5.07899i | −1.64456 | + | 0.405347i | −0.949541 | − | 0.313644i | \(-0.898450\pi\) |
−0.695019 | + | 0.718992i | \(0.744604\pi\) | |||||||
\(158\) | −0.294410 | + | 0.776295i | −0.0234220 | + | 0.0617587i | ||||
\(159\) | −0.310047 | − | 0.817528i | −0.0245884 | − | 0.0648342i | ||||
\(160\) | 30.8270 | + | 7.59817i | 2.43709 | + | 0.600688i | ||||
\(161\) | 4.31136 | + | 3.81953i | 0.339782 | + | 0.301021i | ||||
\(162\) | −2.16693 | + | 17.8463i | −0.170250 | + | 1.40214i | ||||
\(163\) | −4.82214 | + | 4.27204i | −0.377699 | + | 0.334612i | −0.830519 | − | 0.556990i | \(-0.811956\pi\) |
0.452821 | + | 0.891602i | \(0.350418\pi\) | |||||||
\(164\) | 14.5127 | + | 3.57706i | 1.13325 | + | 0.279321i | ||||
\(165\) | −1.12735 | − | 0.277866i | −0.0877638 | − | 0.0216318i | ||||
\(166\) | −21.4771 | + | 5.29362i | −1.66694 | + | 0.410864i | ||||
\(167\) | −0.437667 | − | 0.634071i | −0.0338677 | − | 0.0490659i | 0.805684 | − | 0.592345i | \(-0.201798\pi\) |
−0.839552 | + | 0.543279i | \(0.817182\pi\) | |||||||
\(168\) | −0.133516 | − | 0.0329087i | −0.0103010 | − | 0.00253896i | ||||
\(169\) | −12.9745 | −0.998035 | ||||||||
\(170\) | −15.7268 | − | 13.9327i | −1.20619 | − | 1.06859i | ||||
\(171\) | 12.4759 | − | 6.54786i | 0.954057 | − | 0.500728i | ||||
\(172\) | −14.9321 | − | 7.83699i | −1.13856 | − | 0.597565i | ||||
\(173\) | −0.913724 | + | 7.52519i | −0.0694691 | + | 0.572130i | 0.915864 | + | 0.401488i | \(0.131507\pi\) |
−0.985333 | + | 0.170641i | \(0.945416\pi\) | |||||||
\(174\) | −0.778889 | + | 0.690035i | −0.0590474 | + | 0.0523114i | ||||
\(175\) | 26.9642 | + | 23.8882i | 2.03830 | + | 1.80578i | ||||
\(176\) | 7.10217 | − | 3.72751i | 0.535346 | − | 0.280971i | ||||
\(177\) | −0.102556 | − | 0.0538256i | −0.00770859 | − | 0.00404578i | ||||
\(178\) | −31.4226 | −2.35523 | ||||||||
\(179\) | −15.4842 | + | 3.81650i | −1.15734 | + | 0.285259i | −0.770839 | − | 0.637030i | \(-0.780163\pi\) |
−0.386501 | + | 0.922289i | \(0.626317\pi\) | |||||||
\(180\) | 3.01792 | + | 24.8548i | 0.224942 | + | 1.85257i | ||||
\(181\) | 15.0003 | + | 3.69723i | 1.11496 | + | 0.274813i | 0.753418 | − | 0.657542i | \(-0.228404\pi\) |
0.361543 | + | 0.932355i | \(0.382250\pi\) | |||||||
\(182\) | −1.13062 | −0.0838072 | ||||||||
\(183\) | 0.0491917 | − | 0.405130i | 0.00363635 | − | 0.0299481i | ||||
\(184\) | 0.170388 | + | 0.449275i | 0.0125611 | + | 0.0331210i | ||||
\(185\) | 9.57639 | − | 25.2509i | 0.704070 | − | 1.85648i | ||||
\(186\) | −1.59249 | + | 2.30712i | −0.116767 | + | 0.169167i | ||||
\(187\) | −5.71729 | −0.418090 | ||||||||
\(188\) | −9.17633 | − | 13.2942i | −0.669252 | − | 0.969579i | ||||
\(189\) | 0.341930 | + | 2.81605i | 0.0248718 | + | 0.204837i | ||||
\(190\) | 28.2210 | − | 25.0016i | 2.04737 | − | 1.81381i | ||||
\(191\) | 2.17032 | − | 17.8742i | 0.157039 | − | 1.29333i | −0.674671 | − | 0.738118i | \(-0.735715\pi\) |
0.831710 | − | 0.555210i | \(-0.187362\pi\) | |||||||
\(192\) | 0.929030 | + | 0.823049i | 0.0670469 | + | 0.0593984i | ||||
\(193\) | 10.0053 | − | 14.4952i | 0.720198 | − | 1.04339i | −0.276406 | − | 0.961041i | \(-0.589143\pi\) |
0.996604 | − | 0.0823462i | \(-0.0262413\pi\) | |||||||
\(194\) | −22.0618 | + | 11.5789i | −1.58395 | + | 0.831319i | ||||
\(195\) | −0.0303121 | − | 0.0799265i | −0.00217070 | − | 0.00572366i | ||||
\(196\) | 10.8851 | 0.777508 | ||||||||
\(197\) | −9.23089 | + | 8.17786i | −0.657674 | + | 0.582648i | −0.924540 | − | 0.381086i | \(-0.875550\pi\) |
0.266866 | + | 0.963734i | \(0.414012\pi\) | |||||||
\(198\) | 9.86006 | + | 8.73526i | 0.700724 | + | 0.620788i | ||||
\(199\) | 8.94130 | + | 12.9537i | 0.633832 | + | 0.918264i | 0.999924 | − | 0.0123145i | \(-0.00391994\pi\) |
−0.366092 | + | 0.930579i | \(0.619305\pi\) | |||||||
\(200\) | 1.06564 | + | 2.80986i | 0.0753522 | + | 0.198687i | ||||
\(201\) | 0.415760 | + | 0.102476i | 0.0293254 | + | 0.00722807i | ||||
\(202\) | −16.8605 | − | 8.84909i | −1.18630 | − | 0.622620i | ||||
\(203\) | 7.39809 | − | 10.7180i | 0.519244 | − | 0.752255i | ||||
\(204\) | −0.273014 | − | 0.719878i | −0.0191148 | − | 0.0504015i | ||||
\(205\) | −9.69715 | − | 25.5693i | −0.677278 | − | 1.78584i | ||||
\(206\) | −9.98994 | + | 5.24312i | −0.696032 | + | 0.365306i | ||||
\(207\) | 3.69816 | − | 3.27629i | 0.257040 | − | 0.227718i | ||||
\(208\) | 0.522876 | + | 0.274427i | 0.0362549 | + | 0.0190281i | ||||
\(209\) | 1.23664 | − | 10.1846i | 0.0855399 | − | 0.704485i | ||||
\(210\) | 1.34168 | + | 3.53772i | 0.0925846 | + | 0.244126i | ||||
\(211\) | 7.41197 | − | 19.5438i | 0.510261 | − | 1.34545i | −0.394252 | − | 0.919002i | \(-0.628996\pi\) |
0.904513 | − | 0.426446i | \(-0.140235\pi\) | |||||||
\(212\) | 1.65479 | + | 13.6285i | 0.113652 | + | 0.936006i | ||||
\(213\) | 1.38802 | − | 0.728487i | 0.0951052 | − | 0.0499151i | ||||
\(214\) | −29.2519 | − | 25.9149i | −1.99962 | − | 1.77151i | ||||
\(215\) | 3.71894 | + | 30.6282i | 0.253629 | + | 2.08883i | ||||
\(216\) | −0.0839151 | + | 0.221266i | −0.00570970 | + | 0.0150552i | ||||
\(217\) | 12.4414 | − | 32.8053i | 0.844577 | − | 2.22697i | ||||
\(218\) | 18.1279 | − | 26.2627i | 1.22777 | − | 1.77874i | ||||
\(219\) | 0.393532 | − | 1.03766i | 0.0265924 | − | 0.0701185i | ||||
\(220\) | 16.1426 | + | 8.47227i | 1.08833 | + | 0.571200i | ||||
\(221\) | −0.239109 | − | 0.346409i | −0.0160842 | − | 0.0233020i | ||||
\(222\) | 1.43218 | − | 1.26880i | 0.0961217 | − | 0.0851564i | ||||
\(223\) | 0.986481 | + | 0.243146i | 0.0660596 | + | 0.0162822i | 0.272207 | − | 0.962239i | \(-0.412246\pi\) |
−0.206147 | + | 0.978521i | \(0.566093\pi\) | |||||||
\(224\) | −24.9283 | − | 13.0834i | −1.66559 | − | 0.874170i | ||||
\(225\) | 23.1291 | − | 20.4906i | 1.54194 | − | 1.36604i | ||||
\(226\) | −2.65428 | + | 3.84539i | −0.176560 | + | 0.255791i | ||||
\(227\) | 4.43342 | − | 11.6900i | 0.294256 | − | 0.775890i | −0.703609 | − | 0.710587i | \(-0.748429\pi\) |
0.997866 | − | 0.0653026i | \(-0.0208013\pi\) | |||||||
\(228\) | 1.34142 | − | 0.330631i | 0.0888378 | − | 0.0218966i | ||||
\(229\) | −0.418508 | + | 0.103153i | −0.0276558 | + | 0.00681653i | −0.253119 | − | 0.967435i | \(-0.581457\pi\) |
0.225464 | + | 0.974252i | \(0.427610\pi\) | |||||||
\(230\) | 7.51026 | − | 10.8805i | 0.495212 | − | 0.717439i | ||||
\(231\) | 0.911631 | + | 0.478461i | 0.0599809 | + | 0.0314804i | ||||
\(232\) | 0.961980 | − | 0.504886i | 0.0631571 | − | 0.0331474i | ||||
\(233\) | 0.598619 | + | 4.93007i | 0.0392168 | + | 0.322979i | 0.999094 | + | 0.0425587i | \(0.0135509\pi\) |
−0.959877 | + | 0.280421i | \(0.909526\pi\) | |||||||
\(234\) | −0.116898 | + | 0.962745i | −0.00764189 | + | 0.0629366i | ||||
\(235\) | −10.4800 | + | 27.6334i | −0.683639 | + | 1.80261i | ||||
\(236\) | 1.36124 | + | 1.20595i | 0.0886090 | + | 0.0785008i | ||||
\(237\) | 0.0540434 | + | 0.0133205i | 0.00351050 | + | 0.000865260i | ||||
\(238\) | 10.5835 | + | 15.3328i | 0.686024 | + | 0.993877i | ||||
\(239\) | −12.4928 | − | 11.0676i | −0.808091 | − | 0.715906i | 0.154167 | − | 0.988045i | \(-0.450731\pi\) |
−0.962258 | + | 0.272138i | \(0.912269\pi\) | |||||||
\(240\) | 0.238198 | − | 1.96173i | 0.0153756 | − | 0.126629i | ||||
\(241\) | 14.3402 | − | 7.52629i | 0.923730 | − | 0.484811i | 0.0653716 | − | 0.997861i | \(-0.479177\pi\) |
0.858359 | + | 0.513050i | \(0.171484\pi\) | |||||||
\(242\) | −12.4247 | + | 3.06242i | −0.798691 | + | 0.196860i | ||||
\(243\) | 3.65369 | 0.234385 | ||||||||
\(244\) | −2.27226 | + | 5.99146i | −0.145467 | + | 0.383564i | ||||
\(245\) | −11.3129 | − | 16.3896i | −0.722757 | − | 1.04709i | ||||
\(246\) | 0.233540 | − | 1.92338i | 0.0148900 | − | 0.122630i | ||||
\(247\) | 0.668802 | − | 0.351014i | 0.0425548 | − | 0.0223345i | ||||
\(248\) | 2.19078 | − | 1.94087i | 0.139115 | − | 0.123245i | ||||
\(249\) | 0.525858 | + | 1.38657i | 0.0333249 | + | 0.0878706i | ||||
\(250\) | 24.3111 | − | 35.2207i | 1.53757 | − | 2.22756i | ||||
\(251\) | 2.90075 | − | 1.52243i | 0.183094 | − | 0.0960951i | −0.370686 | − | 0.928758i | \(-0.620877\pi\) |
0.553780 | + | 0.832663i | \(0.313185\pi\) | |||||||
\(252\) | 2.67605 | − | 22.0393i | 0.168576 | − | 1.38834i | ||||
\(253\) | −0.433635 | − | 3.57131i | −0.0272624 | − | 0.224526i | ||||
\(254\) | 3.51769 | + | 28.9708i | 0.220719 | + | 1.81779i | ||||
\(255\) | −0.800171 | + | 1.15925i | −0.0501086 | + | 0.0725949i | ||||
\(256\) | 7.65938 | + | 11.0965i | 0.478711 | + | 0.693533i | ||||
\(257\) | −0.486763 | − | 0.255473i | −0.0303635 | − | 0.0159360i | 0.449473 | − | 0.893294i | \(-0.351612\pi\) |
−0.479837 | + | 0.877358i | \(0.659304\pi\) | |||||||
\(258\) | −0.775153 | + | 2.04391i | −0.0482589 | + | 0.127248i | ||||
\(259\) | −13.6032 | + | 19.7077i | −0.845264 | + | 1.22458i | ||||
\(260\) | 0.161783 | + | 1.33240i | 0.0100333 | + | 0.0826320i | ||||
\(261\) | −8.36165 | − | 7.40778i | −0.517573 | − | 0.458530i | ||||
\(262\) | 8.07126 | + | 7.15051i | 0.498644 | + | 0.441760i | ||||
\(263\) | 26.6771 | − | 6.57532i | 1.64498 | − | 0.405451i | 0.695312 | − | 0.718708i | \(-0.255266\pi\) |
0.949669 | + | 0.313256i | \(0.101420\pi\) | |||||||
\(264\) | 0.0487896 | + | 0.0706839i | 0.00300279 | + | 0.00435029i | ||||
\(265\) | 18.8004 | − | 16.6557i | 1.15490 | − | 1.02315i | ||||
\(266\) | −29.6026 | + | 15.5366i | −1.81505 | + | 0.952611i | ||||
\(267\) | 0.253924 | + | 2.09125i | 0.0155399 | + | 0.127983i | ||||
\(268\) | −5.95329 | − | 3.12453i | −0.363655 | − | 0.190861i | ||||
\(269\) | −1.65295 | − | 13.6132i | −0.100782 | − | 0.830014i | −0.952189 | − | 0.305509i | \(-0.901173\pi\) |
0.851407 | − | 0.524505i | \(-0.175750\pi\) | |||||||
\(270\) | 6.32198 | − | 1.55823i | 0.384743 | − | 0.0948307i | ||||
\(271\) | −5.46262 | + | 2.86701i | −0.331831 | + | 0.174158i | −0.622407 | − | 0.782694i | \(-0.713845\pi\) |
0.290577 | + | 0.956852i | \(0.406153\pi\) | |||||||
\(272\) | −1.17291 | − | 9.65976i | −0.0711180 | − | 0.585709i | ||||
\(273\) | 0.00913648 | + | 0.0752456i | 0.000552965 | + | 0.00455407i | ||||
\(274\) | −1.54115 | − | 12.6925i | −0.0931040 | − | 0.766780i | ||||
\(275\) | −2.71205 | − | 22.3358i | −0.163543 | − | 1.34690i | ||||
\(276\) | 0.428965 | − | 0.225138i | 0.0258207 | − | 0.0135517i | ||||
\(277\) | −3.01065 | + | 0.742059i | −0.180893 | + | 0.0445860i | −0.328721 | − | 0.944427i | \(-0.606618\pi\) |
0.147829 | + | 0.989013i | \(0.452772\pi\) | |||||||
\(278\) | −2.04771 | − | 16.8644i | −0.122814 | − | 1.01146i | ||||
\(279\) | −26.6479 | − | 13.9859i | −1.59537 | − | 0.837315i | ||||
\(280\) | −0.476151 | − | 3.92146i | −0.0284555 | − | 0.234352i | ||||
\(281\) | −2.79589 | + | 1.46740i | −0.166789 | + | 0.0875376i | −0.546052 | − | 0.837751i | \(-0.683870\pi\) |
0.379263 | + | 0.925289i | \(0.376178\pi\) | |||||||
\(282\) | −1.56732 | + | 1.38852i | −0.0933324 | + | 0.0826853i | ||||
\(283\) | 7.19061 | + | 10.4174i | 0.427438 | + | 0.619250i | 0.976237 | − | 0.216703i | \(-0.0695305\pi\) |
−0.548800 | + | 0.835954i | \(0.684915\pi\) | |||||||
\(284\) | −23.8980 | + | 5.89033i | −1.41809 | + | 0.349527i | ||||
\(285\) | −1.89197 | − | 1.67614i | −0.112071 | − | 0.0992861i | ||||
\(286\) | 0.528573 | + | 0.468275i | 0.0312552 | + | 0.0276897i | ||||
\(287\) | 2.92285 | + | 24.0718i | 0.172530 | + | 1.42091i | ||||
\(288\) | −13.7181 | + | 19.8742i | −0.808350 | + | 1.17110i | ||||
\(289\) | 3.56873 | − | 9.40998i | 0.209925 | − | 0.553528i | ||||
\(290\) | −26.4686 | − | 13.8918i | −1.55429 | − | 0.815753i | ||||
\(291\) | 0.948887 | + | 1.37470i | 0.0556248 | + | 0.0805864i | ||||
\(292\) | −9.89862 | + | 14.3406i | −0.579273 | + | 0.839221i | ||||
\(293\) | 0.718381 | + | 5.91640i | 0.0419682 | + | 0.345640i | 0.998534 | + | 0.0541237i | \(0.0172365\pi\) |
−0.956566 | + | 0.291516i | \(0.905840\pi\) | |||||||
\(294\) | −0.170075 | − | 1.40069i | −0.00991896 | − | 0.0816900i | ||||
\(295\) | 0.401051 | − | 3.30296i | 0.0233501 | − | 0.192306i | ||||
\(296\) | −1.76884 | + | 0.928360i | −0.102812 | + | 0.0539598i | ||||
\(297\) | 1.00648 | − | 1.45814i | 0.0584020 | − | 0.0846099i | ||||
\(298\) | 7.87990 | + | 20.7776i | 0.456470 | + | 1.20361i | ||||
\(299\) | 0.198249 | − | 0.175633i | 0.0114650 | − | 0.0101571i | ||||
\(300\) | 2.68284 | − | 1.40806i | 0.154894 | − | 0.0812946i | ||||
\(301\) | 3.29767 | − | 27.1587i | 0.190074 | − | 1.56540i | ||||
\(302\) | 27.8358 | + | 40.3271i | 1.60177 | + | 2.32056i | ||||
\(303\) | −0.452680 | + | 1.19362i | −0.0260058 | + | 0.0685717i | ||||
\(304\) | 17.4613 | 1.00148 | ||||||||
\(305\) | 11.3829 | − | 2.80562i | 0.651781 | − | 0.160650i | ||||
\(306\) | 14.1504 | − | 7.42671i | 0.808925 | − | 0.424557i | ||||
\(307\) | 2.59935 | − | 21.4076i | 0.148353 | − | 1.22179i | −0.708304 | − | 0.705907i | \(-0.750540\pi\) |
0.856657 | − | 0.515886i | \(-0.172537\pi\) | |||||||
\(308\) | −12.1002 | − | 10.7198i | −0.689471 | − | 0.610818i | ||||
\(309\) | 0.429671 | + | 0.622486i | 0.0244431 | + | 0.0354120i | ||||
\(310\) | −78.1914 | − | 19.2724i | −4.44097 | − | 1.09460i | ||||
\(311\) | 6.23091 | + | 5.52011i | 0.353323 | + | 0.313017i | 0.821050 | − | 0.570856i | \(-0.193389\pi\) |
−0.467727 | + | 0.883873i | \(0.654927\pi\) | |||||||
\(312\) | −0.00224224 | + | 0.00591229i | −0.000126942 | + | 0.000334718i | ||||
\(313\) | −1.07829 | + | 8.88054i | −0.0609487 | + | 0.501958i | 0.929984 | + | 0.367600i | \(0.119820\pi\) |
−0.990933 | + | 0.134358i | \(0.957103\pi\) | |||||||
\(314\) | −5.20660 | − | 42.8802i | −0.293826 | − | 2.41987i | ||||
\(315\) | −35.9656 | + | 18.8762i | −2.02643 | + | 1.06355i | ||||
\(316\) | −0.773852 | − | 0.406149i | −0.0435326 | − | 0.0228477i | ||||
\(317\) | −9.16129 | + | 13.2724i | −0.514549 | + | 0.745453i | −0.991017 | − | 0.133739i | \(-0.957302\pi\) |
0.476467 | + | 0.879192i | \(0.341917\pi\) | |||||||
\(318\) | 1.72785 | − | 0.425877i | 0.0968930 | − | 0.0238820i | ||||
\(319\) | −7.89778 | + | 1.94663i | −0.442191 | + | 0.108990i | ||||
\(320\) | −12.6434 | + | 33.3378i | −0.706785 | + | 1.86364i | ||||
\(321\) | −1.48832 | + | 2.15620i | −0.0830699 | + | 0.120348i | ||||
\(322\) | −8.77492 | + | 7.77390i | −0.489007 | + | 0.433222i | ||||
\(323\) | −11.0207 | − | 5.78412i | −0.613210 | − | 0.321837i | ||||
\(324\) | −18.3740 | − | 4.52878i | −1.02078 | − | 0.251599i | ||||
\(325\) | 1.23989 | − | 1.09845i | 0.0687769 | − | 0.0609310i | ||||
\(326\) | −7.44849 | − | 10.7910i | −0.412534 | − | 0.597658i | ||||
\(327\) | −1.89434 | − | 0.994227i | −0.104757 | − | 0.0549809i | ||||
\(328\) | −0.717314 | + | 1.89140i | −0.0396070 | + | 0.104435i | ||||
\(329\) | 14.8868 | − | 21.5673i | 0.820736 | − | 1.18904i | ||||
\(330\) | 0.837989 | − | 2.20959i | 0.0461298 | − | 0.121634i | ||||
\(331\) | −0.289363 | + | 0.762988i | −0.0159048 | + | 0.0419376i | −0.942734 | − | 0.333547i | \(-0.891754\pi\) |
0.926829 | + | 0.375485i | \(0.122524\pi\) | |||||||
\(332\) | −2.80662 | − | 23.1146i | −0.154034 | − | 1.26858i | ||||
\(333\) | 15.3750 | + | 13.6211i | 0.842544 | + | 0.746429i | ||||
\(334\) | 1.38849 | − | 0.728735i | 0.0759748 | − | 0.0398746i | ||||
\(335\) | 1.48270 | + | 12.2112i | 0.0810088 | + | 0.667167i | ||||
\(336\) | −0.621371 | + | 1.63842i | −0.0338985 | + | 0.0893831i | ||||
\(337\) | 12.5445 | + | 33.0771i | 0.683341 | + | 1.80182i | 0.591898 | + | 0.806013i | \(0.298379\pi\) |
0.0914435 | + | 0.995810i | \(0.470852\pi\) | |||||||
\(338\) | 3.18301 | − | 26.2144i | 0.173133 | − | 1.42588i | ||||
\(339\) | 0.277369 | + | 0.145574i | 0.0150646 | + | 0.00790652i | ||||
\(340\) | 16.5548 | − | 14.6663i | 0.897810 | − | 0.795390i | ||||
\(341\) | −19.4035 | + | 10.1838i | −1.05076 | + | 0.551482i | ||||
\(342\) | 10.1690 | + | 26.8135i | 0.549878 | + | 1.44991i | ||||
\(343\) | −2.36561 | − | 6.23759i | −0.127731 | − | 0.336798i | ||||
\(344\) | 1.29647 | − | 1.87826i | 0.0699010 | − | 0.101269i | ||||
\(345\) | −0.784814 | − | 0.411902i | −0.0422530 | − | 0.0221761i | ||||
\(346\) | −14.9802 | − | 3.69229i | −0.805341 | − | 0.198499i | ||||
\(347\) | −11.1709 | − | 29.4552i | −0.599684 | − | 1.58124i | −0.799019 | − | 0.601306i | \(-0.794647\pi\) |
0.199334 | − | 0.979932i | \(-0.436122\pi\) | |||||||
\(348\) | −0.622241 | − | 0.901472i | −0.0333556 | − | 0.0483240i | ||||
\(349\) | −15.4367 | − | 13.6757i | −0.826308 | − | 0.732045i | 0.139801 | − | 0.990180i | \(-0.455354\pi\) |
−0.966109 | + | 0.258134i | \(0.916892\pi\) | |||||||
\(350\) | −54.8803 | + | 48.6197i | −2.93347 | + | 2.59883i | ||||
\(351\) | 0.130441 | 0.00696245 | ||||||||
\(352\) | 6.23533 | + | 16.4412i | 0.332344 | + | 0.876320i | ||||
\(353\) | −7.54769 | + | 3.96133i | −0.401723 | + | 0.210841i | −0.653470 | − | 0.756953i | \(-0.726687\pi\) |
0.251747 | + | 0.967793i | \(0.418995\pi\) | |||||||
\(354\) | 0.133913 | − | 0.194006i | 0.00711738 | − | 0.0103113i | ||||
\(355\) | 33.7063 | + | 29.8612i | 1.78895 | + | 1.58487i | ||||
\(356\) | 3.98699 | − | 32.8358i | 0.211310 | − | 1.74030i | ||||
\(357\) | 0.934911 | − | 0.828259i | 0.0494808 | − | 0.0438361i | ||||
\(358\) | −3.91240 | − | 32.2215i | −0.206777 | − | 1.70296i | ||||
\(359\) | −14.3072 | − | 20.7276i | −0.755108 | − | 1.09396i | −0.992464 | − | 0.122540i | \(-0.960896\pi\) |
0.237356 | − | 0.971423i | \(-0.423719\pi\) | |||||||
\(360\) | −3.38842 | −0.178586 | ||||||||
\(361\) | 1.89419 | − | 2.74421i | 0.0996943 | − | 0.144432i | ||||
\(362\) | −11.1501 | + | 29.4005i | −0.586037 | + | 1.54525i | ||||
\(363\) | 0.304215 | + | 0.802148i | 0.0159671 | + | 0.0421019i | ||||
\(364\) | 0.143456 | − | 1.18147i | 0.00751916 | − | 0.0619258i | ||||
\(365\) | 31.8802 | 1.66869 | ||||||||
\(366\) | 0.806482 | + | 0.198780i | 0.0421555 | + | 0.0103904i | ||||
\(367\) | 3.06463 | + | 25.2395i | 0.159972 | + | 1.31749i | 0.822633 | + | 0.568572i | \(0.192504\pi\) |
−0.662661 | + | 0.748919i | \(0.730573\pi\) | |||||||
\(368\) | 5.94501 | − | 1.46531i | 0.309905 | − | 0.0763848i | ||||
\(369\) | 20.7998 | 1.08279 | ||||||||
\(370\) | 48.6691 | + | 25.5435i | 2.53019 | + | 1.32794i | ||||
\(371\) | −19.7208 | + | 10.3503i | −1.02385 | + | 0.537359i | ||||
\(372\) | −2.20882 | − | 1.95685i | −0.114522 | − | 0.101458i | ||||
\(373\) | 13.8026 | − | 12.2281i | 0.714673 | − | 0.633145i | −0.225341 | − | 0.974280i | \(-0.572350\pi\) |
0.940014 | + | 0.341135i | \(0.110811\pi\) | |||||||
\(374\) | 1.40262 | − | 11.5516i | 0.0725276 | − | 0.597318i | ||||
\(375\) | −2.54048 | − | 1.33335i | −0.131190 | − | 0.0688539i | ||||
\(376\) | 1.93574 | − | 1.01596i | 0.0998283 | − | 0.0523940i | ||||
\(377\) | −0.448247 | − | 0.397112i | −0.0230859 | − | 0.0204523i | ||||
\(378\) | −5.77361 | −0.296963 | ||||||||
\(379\) | −10.7779 | − | 2.65652i | −0.553625 | − | 0.136456i | −0.0474287 | − | 0.998875i | \(-0.515103\pi\) |
−0.506196 | + | 0.862418i | \(0.668949\pi\) | |||||||
\(380\) | 22.5453 | + | 32.6625i | 1.15655 | + | 1.67555i | ||||
\(381\) | 1.89965 | − | 0.468222i | 0.0973221 | − | 0.0239877i | ||||
\(382\) | 35.5816 | + | 8.77009i | 1.82052 | + | 0.448717i | ||||
\(383\) | −6.19947 | − | 1.52803i | −0.316778 | − | 0.0780788i | 0.0777209 | − | 0.996975i | \(-0.475236\pi\) |
−0.394499 | + | 0.918896i | \(0.629082\pi\) | |||||||
\(384\) | −0.236308 | + | 0.209351i | −0.0120591 | + | 0.0106834i | ||||
\(385\) | −3.56498 | + | 29.3603i | −0.181688 | + | 1.49634i | ||||
\(386\) | 26.8324 | + | 23.7715i | 1.36573 | + | 1.20994i | ||||
\(387\) | −22.7852 | − | 5.61605i | −1.15824 | − | 0.285480i | ||||
\(388\) | −9.30042 | − | 24.5232i | −0.472157 | − | 1.24498i | ||||
\(389\) | 11.6769 | − | 30.7894i | 0.592041 | − | 1.56108i | −0.218771 | − | 0.975776i | \(-0.570205\pi\) |
0.810812 | − | 0.585307i | \(-0.199026\pi\) | |||||||
\(390\) | 0.168925 | − | 0.0416363i | 0.00855386 | − | 0.00210834i | ||||
\(391\) | −4.23759 | − | 1.04447i | −0.214304 | − | 0.0528213i | ||||
\(392\) | −0.177567 | + | 1.46239i | −0.00896848 | + | 0.0738621i | ||||
\(393\) | 0.410661 | − | 0.594945i | 0.0207151 | − | 0.0300110i | ||||
\(394\) | −14.2585 | − | 20.6569i | −0.718331 | − | 1.04068i | ||||
\(395\) | 0.192733 | + | 1.58730i | 0.00969743 | + | 0.0798655i | ||||
\(396\) | −10.3792 | + | 9.19516i | −0.521574 | + | 0.462074i | ||||
\(397\) | 13.8101 | + | 20.0074i | 0.693111 | + | 1.00414i | 0.998649 | + | 0.0519643i | \(0.0165482\pi\) |
−0.305538 | + | 0.952180i | \(0.598836\pi\) | |||||||
\(398\) | −28.3661 | + | 14.8877i | −1.42186 | + | 0.746251i | ||||
\(399\) | 1.27322 | + | 1.84457i | 0.0637406 | + | 0.0923442i | ||||
\(400\) | 37.1814 | − | 9.16440i | 1.85907 | − | 0.458220i | ||||
\(401\) | −26.0986 | − | 13.6976i | −1.30330 | − | 0.684025i | −0.337016 | − | 0.941499i | \(-0.609418\pi\) |
−0.966285 | + | 0.257473i | \(0.917110\pi\) | |||||||
\(402\) | −0.309046 | + | 0.814887i | −0.0154138 | + | 0.0406429i | ||||
\(403\) | −1.42853 | − | 0.749749i | −0.0711600 | − | 0.0373477i | ||||
\(404\) | 11.3864 | − | 16.4960i | 0.566494 | − | 0.820708i | ||||
\(405\) | 12.2772 | + | 32.3724i | 0.610060 | + | 1.60860i | ||||
\(406\) | 19.8403 | + | 17.5770i | 0.984660 | + | 0.872332i | ||||
\(407\) | 14.5220 | − | 3.57936i | 0.719831 | − | 0.177422i | ||||
\(408\) | 0.101168 | − | 0.0249357i | 0.00500856 | − | 0.00123450i | ||||
\(409\) | −15.6759 | − | 22.7105i | −0.775124 | − | 1.12296i | −0.989261 | − | 0.146157i | \(-0.953309\pi\) |
0.214137 | − | 0.976804i | \(-0.431306\pi\) | |||||||
\(410\) | 54.0408 | − | 13.3199i | 2.66889 | − | 0.657821i | ||||
\(411\) | −0.832262 | + | 0.205134i | −0.0410525 | + | 0.0101185i | ||||
\(412\) | −4.21138 | − | 11.1045i | −0.207480 | − | 0.547079i | ||||
\(413\) | −1.04620 | + | 2.75859i | −0.0514800 | + | 0.135741i | ||||
\(414\) | 5.71235 | + | 8.27577i | 0.280747 | + | 0.406732i | ||||
\(415\) | −31.8866 | + | 28.2490i | −1.56525 | + | 1.38669i | ||||
\(416\) | −0.735395 | + | 1.06540i | −0.0360557 | + | 0.0522357i | ||||
\(417\) | −1.10582 | + | 0.272561i | −0.0541523 | + | 0.0133473i | ||||
\(418\) | 20.2743 | + | 4.99716i | 0.991647 | + | 0.244419i | ||||
\(419\) | 2.89877 | − | 2.56809i | 0.141614 | − | 0.125459i | −0.589342 | − | 0.807884i | \(-0.700613\pi\) |
0.730956 | + | 0.682425i | \(0.239074\pi\) | |||||||
\(420\) | −3.86706 | + | 0.953144i | −0.188693 | + | 0.0465087i | ||||
\(421\) | −26.4952 | −1.29130 | −0.645648 | − | 0.763635i | \(-0.723413\pi\) | ||||
−0.645648 | + | 0.763635i | \(0.723413\pi\) | |||||||
\(422\) | 37.6691 | + | 19.7703i | 1.83370 | + | 0.962402i | ||||
\(423\) | −16.8257 | − | 14.9063i | −0.818095 | − | 0.724769i | ||||
\(424\) | −1.85795 | −0.0902301 | ||||||||
\(425\) | −26.5028 | − | 6.53236i | −1.28558 | − | 0.316866i | ||||
\(426\) | 1.13136 | + | 2.98315i | 0.0548146 | + | 0.144534i | ||||
\(427\) | −10.3955 | −0.503074 | ||||||||
\(428\) | 30.7920 | − | 27.2793i | 1.48839 | − | 1.31860i | ||||
\(429\) | 0.0268935 | − | 0.0389619i | 0.00129843 | − | 0.00188110i | ||||
\(430\) | −62.7956 | −3.02827 | ||||||||
\(431\) | 15.9745 | + | 23.1430i | 0.769462 | + | 1.11476i | 0.990232 | + | 0.139432i | \(0.0445278\pi\) |
−0.220769 | + | 0.975326i | \(0.570857\pi\) | |||||||
\(432\) | 2.67011 | + | 1.40138i | 0.128466 | + | 0.0674240i | ||||
\(433\) | −1.38349 | − | 3.64796i | −0.0664862 | − | 0.175310i | 0.897655 | − | 0.440698i | \(-0.145269\pi\) |
−0.964142 | + | 0.265388i | \(0.914500\pi\) | |||||||
\(434\) | 63.2296 | + | 33.1855i | 3.03512 | + | 1.59295i | ||||
\(435\) | −0.710641 | + | 1.87381i | −0.0340727 | + | 0.0898422i | ||||
\(436\) | 25.1438 | + | 22.2754i | 1.20417 | + | 1.06680i | ||||
\(437\) | 2.77717 | − | 7.32281i | 0.132850 | − | 0.350297i | ||||
\(438\) | 2.00001 | + | 1.04968i | 0.0955641 | + | 0.0501559i | ||||
\(439\) | −11.3946 | − | 2.80853i | −0.543836 | − | 0.134044i | −0.0421791 | − | 0.999110i | \(-0.513430\pi\) |
−0.501657 | + | 0.865066i | \(0.667276\pi\) | |||||||
\(440\) | −1.40156 | + | 2.03052i | −0.0668170 | + | 0.0968011i | ||||
\(441\) | 14.7072 | − | 3.62501i | 0.700344 | − | 0.172619i | ||||
\(442\) | 0.758568 | − | 0.398127i | 0.0360814 | − | 0.0189370i | ||||
\(443\) | −6.28592 | + | 16.5746i | −0.298653 | + | 0.787483i | 0.698744 | + | 0.715372i | \(0.253743\pi\) |
−0.997397 | + | 0.0721111i | \(0.977026\pi\) | |||||||
\(444\) | 1.14415 | + | 1.65758i | 0.0542988 | + | 0.0786653i | ||||
\(445\) | −53.5844 | + | 28.1232i | −2.54014 | + | 1.33317i | ||||
\(446\) | −0.733279 | + | 1.93350i | −0.0347218 | + | 0.0915538i | ||||
\(447\) | 1.31912 | − | 0.692329i | 0.0623924 | − | 0.0327460i | ||||
\(448\) | 17.9599 | − | 26.0194i | 0.848524 | − | 1.22930i | ||||
\(449\) | 0.0852178 | + | 0.701832i | 0.00402168 | + | 0.0331215i | 0.994582 | − | 0.103959i | \(-0.0331511\pi\) |
−0.990560 | + | 0.137081i | \(0.956228\pi\) | |||||||
\(450\) | 35.7263 | + | 51.7585i | 1.68415 | + | 2.43992i | ||||
\(451\) | 8.60349 | − | 12.4643i | 0.405122 | − | 0.586921i | ||||
\(452\) | −3.68155 | − | 3.26156i | −0.173165 | − | 0.153411i | ||||
\(453\) | 2.45893 | − | 2.17842i | 0.115531 | − | 0.102351i | ||||
\(454\) | 22.5315 | + | 11.8254i | 1.05746 | + | 0.554995i | ||||
\(455\) | −1.92802 | + | 1.01191i | −0.0903872 | + | 0.0474389i | ||||
\(456\) | 0.0225373 | + | 0.185611i | 0.00105540 | + | 0.00869203i | ||||
\(457\) | 10.8908 | − | 2.68434i | 0.509450 | − | 0.125568i | 0.0237916 | − | 0.999717i | \(-0.492426\pi\) |
0.485658 | + | 0.874149i | \(0.338580\pi\) | |||||||
\(458\) | −0.105745 | − | 0.870886i | −0.00494113 | − | 0.0406938i | ||||
\(459\) | −1.22103 | − | 1.76897i | −0.0569928 | − | 0.0825683i | ||||
\(460\) | 10.4169 | + | 9.22858i | 0.485691 | + | 0.430285i | ||||
\(461\) | 9.67904 | − | 25.5215i | 0.450798 | − | 1.18866i | −0.496425 | − | 0.868080i | \(-0.665354\pi\) |
0.947223 | − | 0.320577i | \(-0.103877\pi\) | |||||||
\(462\) | −1.19036 | + | 1.72454i | −0.0553806 | + | 0.0802327i | ||||
\(463\) | −0.435468 | + | 3.58640i | −0.0202379 | + | 0.166674i | −0.999324 | − | 0.0367741i | \(-0.988292\pi\) |
0.979086 | + | 0.203448i | \(0.0652149\pi\) | |||||||
\(464\) | −4.90920 | − | 12.9445i | −0.227904 | − | 0.600933i | ||||
\(465\) | −0.650770 | + | 5.35957i | −0.0301787 | + | 0.248544i | ||||
\(466\) | −10.1079 | −0.468239 | ||||||||
\(467\) | 1.76519 | − | 14.5377i | 0.0816834 | − | 0.672723i | −0.893145 | − | 0.449768i | \(-0.851507\pi\) |
0.974829 | − | 0.222955i | \(-0.0715704\pi\) | |||||||
\(468\) | −0.991211 | − | 0.244312i | −0.0458187 | − | 0.0112933i | ||||
\(469\) | 1.31475 | − | 10.8279i | 0.0607093 | − | 0.499986i | ||||
\(470\) | −53.2613 | − | 27.9537i | −2.45676 | − | 1.28941i | ||||
\(471\) | −2.81171 | + | 0.693025i | −0.129557 | + | 0.0319329i | ||||
\(472\) | −0.184223 | + | 0.163207i | −0.00847955 | + | 0.00751223i | ||||
\(473\) | −12.7901 | + | 11.3311i | −0.588091 | + | 0.521003i | ||||
\(474\) | −0.0401720 | + | 0.105925i | −0.00184516 | + | 0.00486529i | ||||
\(475\) | 17.3691 | − | 45.7984i | 0.796947 | − | 2.10138i | ||||
\(476\) | −17.3652 | + | 9.11398i | −0.795934 | + | 0.417738i | ||||
\(477\) | 6.77445 | + | 17.8628i | 0.310181 | + | 0.817880i | ||||
\(478\) | 25.4266 | − | 22.5260i | 1.16299 | − | 1.03032i | ||||
\(479\) | 8.65816 | + | 22.8297i | 0.395601 | + | 1.04312i | 0.973837 | + | 0.227246i | \(0.0729721\pi\) |
−0.578236 | + | 0.815870i | \(0.696259\pi\) | |||||||
\(480\) | 4.20632 | + | 1.03677i | 0.191991 | + | 0.0473216i | ||||
\(481\) | 0.824214 | + | 0.730190i | 0.0375809 | + | 0.0332938i | ||||
\(482\) | 11.6886 | + | 30.8202i | 0.532399 | + | 1.40382i | ||||
\(483\) | 0.588282 | + | 0.521172i | 0.0267678 | + | 0.0237142i | ||||
\(484\) | −1.62366 | − | 13.3721i | −0.0738029 | − | 0.607821i | ||||
\(485\) | −27.2584 | + | 39.4906i | −1.23774 | + | 1.79318i | ||||
\(486\) | −0.896356 | + | 7.38216i | −0.0406595 | + | 0.334862i | ||||
\(487\) | 2.90349 | + | 23.9124i | 0.131570 | + | 1.08357i | 0.897613 | + | 0.440785i | \(0.145300\pi\) |
−0.766043 | + | 0.642789i | \(0.777777\pi\) | |||||||
\(488\) | −0.767875 | − | 0.403012i | −0.0347600 | − | 0.0182435i | ||||
\(489\) | −0.657977 | + | 0.582917i | −0.0297548 | + | 0.0263604i | ||||
\(490\) | 35.8900 | − | 18.8365i | 1.62135 | − | 0.850948i | ||||
\(491\) | 15.6505 | + | 3.85750i | 0.706297 | + | 0.174086i | 0.576073 | − | 0.817398i | \(-0.304584\pi\) |
0.130223 | + | 0.991485i | \(0.458431\pi\) | |||||||
\(492\) | 1.98025 | + | 0.488087i | 0.0892764 | + | 0.0220047i | ||||
\(493\) | −1.18946 | + | 9.79612i | −0.0535708 | + | 0.441195i | ||||
\(494\) | 0.545135 | + | 1.43740i | 0.0245268 | + | 0.0646718i | ||||
\(495\) | 24.6322 | + | 6.07130i | 1.10714 | + | 0.272884i | ||||
\(496\) | −21.1868 | − | 30.6944i | −0.951317 | − | 1.37822i | ||||
\(497\) | −22.6829 | − | 32.8619i | −1.01747 | − | 1.47406i | ||||
\(498\) | −2.93053 | + | 0.722311i | −0.131320 | + | 0.0323675i | ||||
\(499\) | 2.88906 | + | 1.51630i | 0.129332 | + | 0.0678788i | 0.528148 | − | 0.849152i | \(-0.322887\pi\) |
−0.398816 | + | 0.917031i | \(0.630579\pi\) | |||||||
\(500\) | 33.7201 | + | 29.8734i | 1.50801 | + | 1.33598i | ||||
\(501\) | −0.0597194 | − | 0.0865186i | −0.00266807 | − | 0.00386536i | ||||
\(502\) | 2.36438 | + | 6.23437i | 0.105528 | + | 0.278253i | ||||
\(503\) | −1.17982 | + | 1.04523i | −0.0526057 | + | 0.0466046i | −0.689016 | − | 0.724746i | \(-0.741957\pi\) |
0.636410 | + | 0.771351i | \(0.280419\pi\) | |||||||
\(504\) | 2.91728 | + | 0.719046i | 0.129946 | + | 0.0320288i | ||||
\(505\) | −36.6719 | −1.63188 | ||||||||
\(506\) | 7.32208 | 0.325506 | ||||||||
\(507\) | −1.77036 | −0.0786243 | ||||||||
\(508\) | −30.7200 | −1.36298 | ||||||||
\(509\) | −13.5679 | − | 35.7756i | −0.601386 | − | 1.58572i | −0.796298 | − | 0.604904i | \(-0.793211\pi\) |
0.194912 | − | 0.980821i | \(-0.437558\pi\) | |||||||
\(510\) | −2.14591 | − | 1.90111i | −0.0950226 | − | 0.0841827i | ||||
\(511\) | −27.4475 | − | 6.76519i | −1.21420 | − | 0.299275i | ||||
\(512\) | −28.3966 | + | 14.9037i | −1.25496 | + | 0.658656i | ||||
\(513\) | 3.41529 | − | 1.79248i | 0.150789 | − | 0.0791401i | ||||
\(514\) | 0.635591 | − | 0.920813i | 0.0280347 | − | 0.0406153i | ||||
\(515\) | −12.3430 | + | 17.8820i | −0.543899 | + | 0.787974i | ||||
\(516\) | −2.03748 | − | 1.06935i | −0.0896951 | − | 0.0470756i | ||||
\(517\) | −15.8923 | + | 3.91710i | −0.698942 | + | 0.172274i | ||||
\(518\) | −36.4814 | − | 32.3197i | −1.60290 | − | 1.42005i | ||||
\(519\) | −0.124677 | + | 1.02681i | −0.00547271 | + | 0.0450719i | ||||
\(520\) | −0.181645 | −0.00796565 | ||||||||
\(521\) | 0.969517 | − | 7.98469i | 0.0424753 | − | 0.349816i | −0.955941 | − | 0.293559i | \(-0.905160\pi\) |
0.998416 | − | 0.0562568i | \(-0.0179166\pi\) | |||||||
\(522\) | 17.0185 | − | 15.0771i | 0.744880 | − | 0.659906i | ||||
\(523\) | −3.14652 | + | 8.29669i | −0.137588 | + | 0.362789i | −0.986046 | − | 0.166473i | \(-0.946762\pi\) |
0.848458 | + | 0.529262i | \(0.177531\pi\) | |||||||
\(524\) | −8.49620 | + | 7.52698i | −0.371158 | + | 0.328818i | ||||
\(525\) | 3.67924 | + | 3.25953i | 0.160575 | + | 0.142257i | ||||
\(526\) | 6.74053 | + | 55.5132i | 0.293901 | + | 2.42049i | ||||
\(527\) | 3.20445 | + | 26.3910i | 0.139588 | + | 1.14961i | ||||
\(528\) | 0.969087 | − | 0.508616i | 0.0421741 | − | 0.0221347i | ||||
\(529\) | −2.44132 | + | 20.1061i | −0.106144 | + | 0.874177i | ||||
\(530\) | 29.0400 | + | 42.0717i | 1.26142 | + | 1.82748i | ||||
\(531\) | 2.24082 | + | 1.17608i | 0.0972435 | + | 0.0510373i | ||||
\(532\) | −12.4793 | − | 32.9052i | −0.541047 | − | 1.42662i | ||||
\(533\) | 1.11502 | 0.0482971 | ||||||||
\(534\) | −4.28760 | −0.185543 | ||||||||
\(535\) | −73.0765 | − | 18.0117i | −3.15937 | − | 0.778715i | ||||
\(536\) | 0.516890 | − | 0.748844i | 0.0223262 | − | 0.0323451i | ||||
\(537\) | −2.11280 | + | 0.520759i | −0.0911742 | + | 0.0224724i | ||||
\(538\) | 27.9106 | 1.20331 | ||||||||
\(539\) | 3.91111 | − | 10.3127i | 0.168463 | − | 0.444201i | ||||
\(540\) | 0.826157 | + | 6.80402i | 0.0355521 | + | 0.292798i | ||||
\(541\) | −3.40291 | + | 28.0255i | −0.146302 | + | 1.20491i | 0.715848 | + | 0.698256i | \(0.246040\pi\) |
−0.862150 | + | 0.506653i | \(0.830883\pi\) | |||||||
\(542\) | −4.45254 | − | 11.7404i | −0.191253 | − | 0.504293i | ||||
\(543\) | 2.04678 | + | 0.504485i | 0.0878356 | + | 0.0216495i | ||||
\(544\) | 21.3322 | 0.914610 | ||||||||
\(545\) | 7.40792 | − | 61.0097i | 0.317320 | − | 2.61337i | ||||
\(546\) | −0.154273 | −0.00660226 | ||||||||
\(547\) | 23.1800 | − | 3.11230i | 0.991106 | − | 0.133072i | ||||
\(548\) | 13.4589 | 0.574934 | ||||||||
\(549\) | −1.07482 | + | 8.85198i | −0.0458724 | + | 0.377793i | ||||
\(550\) | 45.7939 | 1.95266 | ||||||||
\(551\) | −17.1932 | − | 4.23775i | −0.732456 | − | 0.180534i | ||||
\(552\) | 0.0232493 | + | 0.0613033i | 0.000989555 | + | 0.00260924i | ||||
\(553\) | 0.170900 | − | 1.40749i | 0.00726742 | − | 0.0598526i | ||||
\(554\) | −0.760704 | − | 6.26496i | −0.0323192 | − | 0.266173i | ||||
\(555\) | 1.30669 | − | 3.44546i | 0.0554660 | − | 0.146252i | ||||
\(556\) | 17.8827 | 0.758395 | ||||||||
\(557\) | 36.7598 | − | 9.06047i | 1.55756 | − | 0.383904i | 0.635860 | − | 0.771804i | \(-0.280646\pi\) |
0.921702 | + | 0.387900i | \(0.126799\pi\) | |||||||
\(558\) | 34.7955 | − | 50.4100i | 1.47301 | − | 2.13403i | ||||
\(559\) | −1.22146 | − | 0.301062i | −0.0516621 | − | 0.0127336i | ||||
\(560\) | −50.3376 | −2.12715 | ||||||||
\(561\) | −0.780121 | −0.0329367 | ||||||||
\(562\) | −2.27891 | − | 6.00900i | −0.0961301 | − | 0.253474i | ||||
\(563\) | −14.2847 | − | 7.49721i | −0.602030 | − | 0.315970i | 0.136030 | − | 0.990705i | \(-0.456566\pi\) |
−0.738060 | + | 0.674735i | \(0.764258\pi\) | |||||||
\(564\) | −1.25210 | − | 1.81399i | −0.0527231 | − | 0.0763826i | ||||
\(565\) | −1.08467 | + | 8.93303i | −0.0456323 | + | 0.375816i | ||||
\(566\) | −22.8120 | + | 11.9727i | −0.958862 | + | 0.503250i | ||||
\(567\) | −3.70051 | − | 30.4765i | −0.155407 | − | 1.27989i | ||||
\(568\) | −0.401511 | − | 3.30674i | −0.0168470 | − | 0.138748i | ||||
\(569\) | 27.5701 | + | 24.4250i | 1.15580 | + | 1.02395i | 0.999342 | + | 0.0362631i | \(0.0115454\pi\) |
0.156456 | + | 0.987685i | \(0.449993\pi\) | |||||||
\(570\) | 3.85074 | − | 3.41146i | 0.161290 | − | 0.142890i | ||||
\(571\) | 4.85462 | − | 12.8006i | 0.203159 | − | 0.535687i | −0.794252 | − | 0.607588i | \(-0.792137\pi\) |
0.997412 | + | 0.0719006i | \(0.0229064\pi\) | |||||||
\(572\) | −0.556402 | + | 0.492929i | −0.0232643 | + | 0.0206104i | ||||
\(573\) | 0.296138 | − | 2.43892i | 0.0123714 | − | 0.101887i | ||||
\(574\) | −49.3533 | −2.05997 | ||||||||
\(575\) | 2.07030 | − | 17.0505i | 0.0863375 | − | 0.711054i | ||||
\(576\) | −20.2990 | − | 17.9834i | −0.845794 | − | 0.749308i | ||||
\(577\) | 29.2294 | − | 7.20439i | 1.21683 | − | 0.299923i | 0.421914 | − | 0.906636i | \(-0.361359\pi\) |
0.794921 | + | 0.606713i | \(0.207512\pi\) | |||||||
\(578\) | 18.1370 | + | 9.51903i | 0.754400 | + | 0.395940i | ||||
\(579\) | 1.36522 | − | 1.97786i | 0.0567366 | − | 0.0821971i | ||||
\(580\) | 17.8750 | − | 25.8963i | 0.742217 | − | 1.07529i | ||||
\(581\) | 33.4476 | − | 17.5546i | 1.38764 | − | 0.728289i | ||||
\(582\) | −3.01032 | + | 1.57994i | −0.124782 | + | 0.0654906i | ||||
\(583\) | 13.5064 | + | 3.32903i | 0.559379 | + | 0.137874i | ||||
\(584\) | −1.76516 | − | 1.56380i | −0.0730429 | − | 0.0647104i | ||||
\(585\) | 0.662312 | + | 1.74637i | 0.0273832 | + | 0.0722036i | ||||
\(586\) | −12.1301 | −0.501090 | ||||||||
\(587\) | −5.29902 | −0.218714 | −0.109357 | − | 0.994003i | \(-0.534879\pi\) | ||||
−0.109357 | + | 0.994003i | \(0.534879\pi\) | |||||||
\(588\) | 1.48527 | 0.0612513 | ||||||||
\(589\) | −47.7053 | −1.96566 | ||||||||
\(590\) | 6.57511 | + | 1.62062i | 0.270693 | + | 0.0667199i | ||||
\(591\) | −1.25955 | + | 1.11586i | −0.0518109 | + | 0.0459005i | ||||
\(592\) | 9.02679 | + | 23.8017i | 0.370999 | + | 0.978243i | ||||
\(593\) | 22.2547 | + | 32.2415i | 0.913891 | + | 1.32400i | 0.945882 | + | 0.324512i | \(0.105200\pi\) |
−0.0319905 | + | 0.999488i | \(0.510185\pi\) | |||||||
\(594\) | 2.69920 | + | 2.39128i | 0.110750 | + | 0.0981156i | ||||
\(595\) | 31.7706 | + | 16.6745i | 1.30247 | + | 0.683588i | ||||
\(596\) | −22.7119 | + | 5.59797i | −0.930314 | + | 0.229302i | ||||
\(597\) | 1.22003 | + | 1.76753i | 0.0499327 | + | 0.0723400i | ||||
\(598\) | 0.306225 | + | 0.443643i | 0.0125225 | + | 0.0181419i | ||||
\(599\) | 23.7433 | + | 5.85221i | 0.970127 | + | 0.239115i | 0.692375 | − | 0.721538i | \(-0.256564\pi\) |
0.277752 | + | 0.960653i | \(0.410411\pi\) | |||||||
\(600\) | 0.145406 | + | 0.383404i | 0.00593618 | + | 0.0156524i | ||||
\(601\) | 5.21664 | − | 42.9629i | 0.212791 | − | 1.75249i | −0.360149 | − | 0.932895i | \(-0.617274\pi\) |
0.572940 | − | 0.819598i | \(-0.305803\pi\) | |||||||
\(602\) | 54.0642 | + | 13.3256i | 2.20349 | + | 0.543112i | ||||
\(603\) | −9.08423 | − | 2.23906i | −0.369939 | − | 0.0911817i | ||||
\(604\) | −45.6726 | + | 23.9708i | −1.85839 | + | 0.975360i | ||||
\(605\) | −18.4467 | + | 16.3424i | −0.749967 | + | 0.664413i | ||||
\(606\) | −2.30061 | − | 1.20745i | −0.0934559 | − | 0.0490494i | ||||
\(607\) | 2.50664 | + | 20.6440i | 0.101741 | + | 0.837915i | 0.950840 | + | 0.309681i | \(0.100222\pi\) |
−0.849099 | + | 0.528234i | \(0.822855\pi\) | |||||||
\(608\) | −4.61410 | + | 38.0005i | −0.187126 | + | 1.54113i | ||||
\(609\) | 1.00947 | − | 1.46246i | 0.0409056 | − | 0.0592620i | ||||
\(610\) | 2.87612 | + | 23.6870i | 0.116451 | + | 0.959057i | ||||
\(611\) | −0.901984 | − | 0.799088i | −0.0364904 | − | 0.0323276i | ||||
\(612\) | 5.96528 | + | 15.7291i | 0.241132 | + | 0.635813i | ||||
\(613\) | 14.0801 | + | 12.4739i | 0.568690 | + | 0.503816i | 0.897757 | − | 0.440491i | \(-0.145196\pi\) |
−0.329067 | + | 0.944307i | \(0.606734\pi\) | |||||||
\(614\) | 42.6155 | + | 10.5038i | 1.71982 | + | 0.423898i | ||||
\(615\) | −1.32317 | − | 3.48891i | −0.0533554 | − | 0.140687i | ||||
\(616\) | 1.63757 | − | 1.45076i | 0.0659797 | − | 0.0584529i | ||||
\(617\) | 7.29142 | + | 19.2259i | 0.293542 | + | 0.774005i | 0.997937 | + | 0.0641978i | \(0.0204489\pi\) |
−0.704396 | + | 0.709808i | \(0.748782\pi\) | |||||||
\(618\) | −1.36312 | + | 0.715421i | −0.0548328 | + | 0.0287785i | ||||
\(619\) | 8.84862 | − | 23.3319i | 0.355656 | − | 0.937788i | −0.631118 | − | 0.775687i | \(-0.717404\pi\) |
0.986774 | − | 0.162101i | \(-0.0518271\pi\) | |||||||
\(620\) | 30.0604 | − | 79.2626i | 1.20725 | − | 3.18326i | ||||
\(621\) | 1.01238 | − | 0.896887i | 0.0406252 | − | 0.0359908i | ||||
\(622\) | −12.6818 | + | 11.2351i | −0.508494 | + | 0.450486i | ||||
\(623\) | 52.1017 | − | 12.8419i | 2.08741 | − | 0.514500i | ||||
\(624\) | 0.0713461 | + | 0.0374453i | 0.00285613 | + | 0.00149901i | ||||
\(625\) | 3.68826 | − | 30.3755i | 0.147530 | − | 1.21502i | ||||
\(626\) | −17.6783 | − | 4.35730i | −0.706566 | − | 0.174153i | ||||
\(627\) | 0.168738 | − | 1.38968i | 0.00673876 | − | 0.0554987i | ||||
\(628\) | 45.4694 | 1.81443 | ||||||||
\(629\) | 2.18713 | − | 18.0126i | 0.0872065 | − | 0.718210i | ||||
\(630\) | −29.3153 | − | 77.2981i | −1.16795 | − | 3.07963i | ||||
\(631\) | −3.23879 | + | 26.6739i | −0.128934 | + | 1.06187i | 0.774329 | + | 0.632783i | \(0.218088\pi\) |
−0.903263 | + | 0.429087i | \(0.858836\pi\) | |||||||
\(632\) | 0.0671891 | − | 0.0973402i | 0.00267264 | − | 0.00387198i | ||||
\(633\) | 1.01136 | − | 2.66673i | 0.0401979 | − | 0.105993i | ||||
\(634\) | −24.5689 | − | 21.7662i | −0.975756 | − | 0.864445i | ||||
\(635\) | 31.9275 | + | 46.2549i | 1.26700 | + | 1.83557i | ||||
\(636\) | 0.225796 | + | 1.85959i | 0.00895338 | + | 0.0737377i | ||||
\(637\) | 0.788417 | − | 0.194327i | 0.0312382 | − | 0.00769953i | ||||
\(638\) | −1.99554 | − | 16.4347i | −0.0790041 | − | 0.650657i | ||||
\(639\) | −30.3278 | + | 15.9172i | −1.19975 | + | 0.629676i | ||||
\(640\) | −8.03034 | − | 4.21465i | −0.317427 | − | 0.166599i | ||||
\(641\) | 31.6141 | − | 28.0076i | 1.24868 | − | 1.10623i | 0.258563 | − | 0.965994i | \(-0.416751\pi\) |
0.990118 | − | 0.140240i | \(-0.0447874\pi\) | |||||||
\(642\) | −3.99140 | − | 3.53607i | −0.157528 | − | 0.139558i | ||||
\(643\) | 11.7820 | − | 17.0692i | 0.464638 | − | 0.673145i | −0.518694 | − | 0.854960i | \(-0.673582\pi\) |
0.983333 | + | 0.181815i | \(0.0581971\pi\) | |||||||
\(644\) | −7.01014 | − | 10.1559i | −0.276238 | − | 0.400200i | ||||
\(645\) | 0.507447 | + | 4.17920i | 0.0199807 | + | 0.164556i | ||||
\(646\) | 14.3903 | − | 20.8480i | 0.566179 | − | 0.820252i | ||||
\(647\) | 34.2162 | − | 17.9581i | 1.34518 | − | 0.706004i | 0.370335 | − | 0.928898i | \(-0.379243\pi\) |
0.974843 | + | 0.222894i | \(0.0715505\pi\) | |||||||
\(648\) | 0.908165 | − | 2.39463i | 0.0356761 | − | 0.0940701i | ||||
\(649\) | 1.63164 | − | 0.856352i | 0.0640476 | − | 0.0336148i | ||||
\(650\) | 1.91520 | + | 2.77464i | 0.0751202 | + | 0.108830i | ||||
\(651\) | 1.69762 | − | 4.47626i | 0.0665350 | − | 0.175438i | ||||
\(652\) | 12.2214 | − | 6.41429i | 0.478627 | − | 0.251203i | ||||
\(653\) | 0.182673 | − | 0.0450248i | 0.00714854 | − | 0.00176196i | −0.235740 | − | 0.971816i | \(-0.575751\pi\) |
0.242888 | + | 0.970054i | \(0.421905\pi\) | |||||||
\(654\) | 2.47353 | − | 3.58353i | 0.0967229 | − | 0.140127i | ||||
\(655\) | 20.1635 | + | 4.96985i | 0.787851 | + | 0.194188i | ||||
\(656\) | 22.8243 | + | 11.9791i | 0.891140 | + | 0.467706i | ||||
\(657\) | −8.59857 | + | 22.6726i | −0.335462 | + | 0.884541i | ||||
\(658\) | 39.9237 | + | 35.3693i | 1.55639 | + | 1.37884i | ||||
\(659\) | −5.07403 | + | 13.3791i | −0.197656 | + | 0.521176i | −0.996798 | − | 0.0799668i | \(-0.974519\pi\) |
0.799141 | + | 0.601143i | \(0.205288\pi\) | |||||||
\(660\) | 2.20264 | + | 1.15604i | 0.0857377 | + | 0.0449986i | ||||
\(661\) | −10.7829 | − | 28.4322i | −0.419406 | − | 1.10588i | −0.963700 | − | 0.266989i | \(-0.913971\pi\) |
0.544293 | − | 0.838895i | \(-0.316798\pi\) | |||||||
\(662\) | −1.47060 | − | 0.771830i | −0.0571565 | − | 0.0299980i | ||||
\(663\) | −0.0326263 | − | 0.0472673i | −0.00126710 | − | 0.00183571i | ||||
\(664\) | 3.15119 | 0.122290 | ||||||||
\(665\) | −36.5754 | + | 52.9886i | −1.41833 | + | 2.05481i | ||||
\(666\) | −31.2928 | + | 27.7230i | −1.21257 | + | 1.07424i | ||||
\(667\) | −6.20936 | −0.240428 | ||||||||
\(668\) | 0.585334 | + | 1.54340i | 0.0226473 | + | 0.0597159i | ||||
\(669\) | 0.134605 | + | 0.0331771i | 0.00520412 | + | 0.00128270i | ||||
\(670\) | −25.0360 | −0.967224 | ||||||||
\(671\) | 4.85997 | + | 4.30556i | 0.187617 | + | 0.166214i | ||||
\(672\) | −3.40145 | − | 1.78522i | −0.131214 | − | 0.0688663i | ||||
\(673\) | −38.0339 | −1.46610 | −0.733051 | − | 0.680174i | \(-0.761904\pi\) | ||||
−0.733051 | + | 0.680174i | \(0.761904\pi\) | |||||||
\(674\) | −69.9086 | + | 17.2309i | −2.69278 | + | 0.663710i | ||||
\(675\) | 6.33162 | − | 5.60933i | 0.243704 | − | 0.215903i | ||||
\(676\) | 26.9895 | + | 6.65232i | 1.03806 | + | 0.255858i | ||||
\(677\) | 29.9240 | − | 7.37560i | 1.15007 | − | 0.283467i | 0.382205 | − | 0.924077i | \(-0.375165\pi\) |
0.767866 | + | 0.640610i | \(0.221318\pi\) | |||||||
\(678\) | −0.362175 | + | 0.524700i | −0.0139092 | + | 0.0201510i | ||||
\(679\) | 31.8485 | − | 28.2153i | 1.22223 | − | 1.08280i | ||||
\(680\) | 1.70033 | + | 2.46336i | 0.0652047 | + | 0.0944654i | ||||
\(681\) | 0.604937 | − | 1.59509i | 0.0231812 | − | 0.0611239i | ||||
\(682\) | −15.8157 | − | 41.7025i | −0.605614 | − | 1.59687i | ||||
\(683\) | −42.8699 | + | 10.5665i | −1.64037 | + | 0.404315i | −0.948265 | − | 0.317481i | \(-0.897163\pi\) |
−0.692106 | + | 0.721796i | \(0.743317\pi\) | |||||||
\(684\) | −29.3097 | + | 7.22419i | −1.12068 | + | 0.276224i | ||||
\(685\) | −13.9878 | − | 20.2649i | −0.534448 | − | 0.774282i | ||||
\(686\) | 13.1832 | − | 3.24936i | 0.503336 | − | 0.124061i | ||||
\(687\) | −0.0571051 | + | 0.0140751i | −0.00217870 | + | 0.000537000i | ||||
\(688\) | −21.7685 | − | 19.2852i | −0.829918 | − | 0.735243i | ||||
\(689\) | 0.363161 | + | 0.957577i | 0.0138353 | + | 0.0364808i | ||||
\(690\) | 1.02477 | − | 1.48464i | 0.0390124 | − | 0.0565192i | ||||
\(691\) | −24.9463 | − | 13.0928i | −0.949003 | − | 0.498075i | −0.0821398 | − | 0.996621i | \(-0.526175\pi\) |
−0.866864 | + | 0.498545i | \(0.833868\pi\) | |||||||
\(692\) | 5.75908 | − | 15.1854i | 0.218927 | − | 0.577264i | ||||
\(693\) | −19.9189 | − | 10.4542i | −0.756656 | − | 0.397123i | ||||
\(694\) | 62.2537 | − | 15.3442i | 2.36312 | − | 0.582456i | ||||
\(695\) | −18.5856 | − | 26.9258i | −0.704991 | − | 1.02136i | ||||
\(696\) | 0.131262 | − | 0.0688914i | 0.00497546 | − | 0.00261132i | ||||
\(697\) | −10.4375 | − | 15.1213i | −0.395347 | − | 0.572759i | ||||
\(698\) | 31.4184 | − | 27.8343i | 1.18920 | − | 1.05354i | ||||
\(699\) | 0.0816811 | + | 0.672705i | 0.00308946 | + | 0.0254440i | ||||
\(700\) | −43.8429 | − | 63.5175i | −1.65711 | − | 2.40073i | ||||
\(701\) | −26.1483 | + | 37.8823i | −0.987607 | + | 1.43080i | −0.0869767 | + | 0.996210i | \(0.527721\pi\) |
−0.900631 | + | 0.434586i | \(0.856895\pi\) | |||||||
\(702\) | −0.0320010 | + | 0.263552i | −0.00120780 | + | 0.00994714i | ||||
\(703\) | 31.6141 | + | 7.79217i | 1.19235 | + | 0.293887i | ||||
\(704\) | −19.1729 | + | 4.72570i | −0.722607 | + | 0.178107i | ||||
\(705\) | −1.42999 | + | 3.77057i | −0.0538564 | + | 0.142008i | ||||
\(706\) | −6.15207 | − | 16.2217i | −0.231536 | − | 0.610510i | ||||
\(707\) | 31.5729 | + | 7.78201i | 1.18742 | + | 0.292673i | ||||
\(708\) | 0.185740 | + | 0.164551i | 0.00698054 | + | 0.00618422i | ||||
\(709\) | −2.43141 | + | 20.0245i | −0.0913135 | + | 0.752035i | 0.873083 | + | 0.487572i | \(0.162117\pi\) |
−0.964396 | + | 0.264462i | \(0.914806\pi\) | |||||||
\(710\) | −68.6026 | + | 60.7766i | −2.57461 | + | 2.28091i | ||||
\(711\) | −1.18083 | − | 0.291050i | −0.0442848 | − | 0.0109152i | ||||
\(712\) | 4.34639 | + | 1.07129i | 0.162888 | + | 0.0401483i | ||||
\(713\) | −16.2421 | + | 4.00332i | −0.608272 | + | 0.149926i | ||||
\(714\) | 1.44411 | + | 2.09215i | 0.0540443 | + | 0.0782968i | ||||
\(715\) | 1.32047 | + | 0.325467i | 0.0493828 | + | 0.0121718i | ||||
\(716\) | 34.1670 | 1.27688 | ||||||||
\(717\) | −1.70463 | − | 1.51017i | −0.0636607 | − | 0.0563985i | ||||
\(718\) | 45.3894 | − | 23.8222i | 1.69392 | − | 0.889036i | ||||
\(719\) | 40.6209 | + | 21.3195i | 1.51490 | + | 0.795082i | 0.998135 | − | 0.0610434i | \(-0.0194428\pi\) |
0.516768 | + | 0.856126i | \(0.327135\pi\) | |||||||
\(720\) | −5.20455 | + | 42.8634i | −0.193962 | + | 1.59742i | ||||
\(721\) | 14.4215 | − | 12.7763i | 0.537084 | − | 0.475815i | ||||
\(722\) | 5.07988 | + | 4.50038i | 0.189054 | + | 0.167487i | ||||
\(723\) | 1.95671 | − | 1.02696i | 0.0727706 | − | 0.0381930i | ||||
\(724\) | −29.3079 | − | 15.3820i | −1.08922 | − | 0.571667i | ||||
\(725\) | −38.8347 | −1.44229 | ||||||||
\(726\) | −1.69534 | + | 0.417865i | −0.0629201 | + | 0.0155084i | ||||
\(727\) | −2.52437 | − | 20.7900i | −0.0936236 | − | 0.771059i | −0.961600 | − | 0.274454i | \(-0.911503\pi\) |
0.867977 | − | 0.496605i | \(-0.165420\pi\) | |||||||
\(728\) | 0.156388 | + | 0.0385462i | 0.00579613 | + | 0.00142862i | ||||
\(729\) | −25.9998 | −0.962955 | ||||||||
\(730\) | −7.82114 | + | 64.4129i | −0.289473 | + | 2.38403i | ||||
\(731\) | 7.35093 | + | 19.3828i | 0.271884 | + | 0.716899i | ||||
\(732\) | −0.310049 | + | 0.817531i | −0.0114597 | + | 0.0302168i | ||||
\(733\) | 4.21593 | − | 6.10783i | 0.155719 | − | 0.225598i | −0.737358 | − | 0.675503i | \(-0.763927\pi\) |
0.893077 | + | 0.449905i | \(0.148542\pi\) | |||||||
\(734\) | −51.7473 | −1.91003 | ||||||||
\(735\) | −1.54364 | − | 2.23635i | −0.0569382 | − | 0.0824892i | ||||
\(736\) | 1.61797 | + | 13.3252i | 0.0596391 | + | 0.491172i | ||||
\(737\) | −5.09930 | + | 4.51758i | −0.187835 | + | 0.166407i | ||||
\(738\) | −5.10279 | + | 42.0253i | −0.187836 | + | 1.54697i | ||||
\(739\) | 14.5887 | + | 12.9244i | 0.536653 | + | 0.475433i | 0.887376 | − | 0.461046i | \(-0.152526\pi\) |
−0.350723 | + | 0.936479i | \(0.614064\pi\) | |||||||
\(740\) | −32.8676 | + | 47.6169i | −1.20824 | + | 1.75043i | ||||
\(741\) | 0.0912576 | − | 0.0478957i | 0.00335243 | − | 0.00175949i | ||||
\(742\) | −16.0743 | − | 42.3843i | −0.590105 | − | 1.55598i | ||||
\(743\) | 11.0927 | 0.406950 | 0.203475 | − | 0.979080i | \(-0.434776\pi\) | ||||
0.203475 | + | 0.979080i | \(0.434776\pi\) | |||||||
\(744\) | 0.298931 | − | 0.264830i | 0.0109593 | − | 0.00970913i | ||||
\(745\) | 32.0334 | + | 28.3791i | 1.17361 | + | 1.03973i | ||||
\(746\) | 21.3202 | + | 30.8876i | 0.780587 | + | 1.13088i | ||||
\(747\) | −11.4899 | − | 30.2963i | −0.420392 | − | 1.10848i | ||||
\(748\) | 11.8931 | + | 2.93140i | 0.434856 | + | 0.107182i | ||||
\(749\) | 59.0934 | + | 31.0146i | 2.15923 | + | 1.13325i | ||||
\(750\) | 3.31724 | − | 4.80585i | 0.121128 | − | 0.175485i | ||||
\(751\) | −13.6694 | − | 36.0432i | −0.498804 | − | 1.31524i | −0.914077 | − | 0.405540i | \(-0.867083\pi\) |
0.415274 | − | 0.909697i | \(-0.363686\pi\) | |||||||
\(752\) | −9.87852 | − | 26.0475i | −0.360233 | − | 0.949856i | ||||
\(753\) | 0.395806 | − | 0.207735i | 0.0144240 | − | 0.00757029i | ||||
\(754\) | 0.912318 | − | 0.808244i | 0.0332247 | − | 0.0294345i | ||||
\(755\) | 83.5605 | + | 43.8559i | 3.04108 | + | 1.59608i | ||||
\(756\) | 0.732572 | − | 6.03327i | 0.0266434 | − | 0.219428i | ||||
\(757\) | −16.6899 | − | 44.0075i | −0.606603 | − | 1.59948i | −0.787729 | − | 0.616022i | \(-0.788743\pi\) |
0.181126 | − | 0.983460i | \(-0.442026\pi\) | |||||||
\(758\) | 8.01154 | − | 21.1247i | 0.290992 | − | 0.767283i | ||||
\(759\) | −0.0591693 | − | 0.487303i | −0.00214771 | − | 0.0176880i | ||||
\(760\) | −4.75592 | + | 2.49610i | −0.172516 | + | 0.0905431i | ||||
\(761\) | −0.212382 | − | 0.188154i | −0.00769884 | − | 0.00682058i | 0.659264 | − | 0.751911i | \(-0.270868\pi\) |
−0.666963 | + | 0.745091i | \(0.732406\pi\) | |||||||
\(762\) | 0.479986 | + | 3.95304i | 0.0173881 | + | 0.143204i | ||||
\(763\) | −19.3246 | + | 50.9547i | −0.699596 | + | 1.84468i | ||||
\(764\) | −13.6792 | + | 36.0691i | −0.494897 | + | 1.30493i | ||||
\(765\) | 17.4835 | − | 25.3292i | 0.632118 | − | 0.915780i | ||||
\(766\) | 4.60824 | − | 12.1509i | 0.166502 | − | 0.439031i | ||||
\(767\) | 0.120125 | + | 0.0630464i | 0.00433746 | + | 0.00227647i | ||||
\(768\) | 1.04512 | + | 1.51412i | 0.0377125 | + | 0.0546359i | ||||
\(769\) | 9.49895 | − | 8.41534i | 0.342541 | − | 0.303465i | −0.474259 | − | 0.880385i | \(-0.657284\pi\) |
0.816800 | + | 0.576920i | \(0.195746\pi\) | |||||||
\(770\) | −58.4467 | − | 14.4058i | −2.10627 | − | 0.519150i | ||||
\(771\) | −0.0664186 | − | 0.0348592i | −0.00239201 | − | 0.00125542i | ||||
\(772\) | −28.2451 | + | 25.0230i | −1.01656 | + | 0.900598i | ||||
\(773\) | −17.5069 | + | 25.3631i | −0.629679 | + | 0.912248i | −0.999860 | − | 0.0167118i | \(-0.994680\pi\) |
0.370181 | + | 0.928960i | \(0.379296\pi\) | |||||||
\(774\) | 16.9369 | − | 44.6589i | 0.608784 | − | 1.60523i | ||||
\(775\) | −101.582 | + | 25.0377i | −3.64893 | + | 0.899379i | ||||
\(776\) | 3.44636 | − | 0.849452i | 0.123717 | − | 0.0304935i | ||||
\(777\) | −1.85615 | + | 2.68910i | −0.0665892 | + | 0.0964710i | ||||
\(778\) | 59.3442 | + | 31.1462i | 2.12759 | + | 1.11665i | ||||
\(779\) | 29.1942 | − | 15.3223i | 1.04599 | − | 0.548978i | ||||
\(780\) | 0.0220752 | + | 0.181805i | 0.000790417 | + | 0.00650967i | ||||
\(781\) | −3.00615 | + | 24.7578i | −0.107568 | + | 0.885905i | ||||
\(782\) | 3.14992 | − | 8.30566i | 0.112641 | − | 0.297010i | ||||
\(783\) | −2.28901 | − | 2.02789i | −0.0818025 | − | 0.0724707i | ||||
\(784\) | 18.2265 | + | 4.49242i | 0.650945 | + | 0.160444i | ||||
\(785\) | −47.2565 | − | 68.4629i | −1.68666 | − | 2.44354i | ||||
\(786\) | 1.10132 | + | 0.975683i | 0.0392827 | + | 0.0348015i | ||||
\(787\) | 4.83839 | − | 39.8478i | 0.172470 | − | 1.42042i | −0.607359 | − | 0.794427i | \(-0.707771\pi\) |
0.779830 | − | 0.625992i | \(-0.215306\pi\) | |||||||
\(788\) | 23.3951 | − | 12.2787i | 0.833417 | − | 0.437411i | ||||
\(789\) | 3.64007 | − | 0.897198i | 0.129590 | − | 0.0319411i | ||||
\(790\) | −3.25436 | −0.115785 | ||||||||
\(791\) | 2.82950 | − | 7.46077i | 0.100605 | − | 0.265275i | ||||
\(792\) | −1.06604 | − | 1.54442i | −0.0378800 | − | 0.0548787i | ||||
\(793\) | −0.0576186 | + | 0.474532i | −0.00204610 | + | 0.0168511i | ||||
\(794\) | −43.8123 | + | 22.9945i | −1.55484 | + | 0.816043i | ||||
\(795\) | 2.56531 | − | 2.27266i | 0.0909820 | − | 0.0806030i | ||||
\(796\) | −11.9580 | − | 31.5308i | −0.423842 | − | 1.11758i | ||||
\(797\) | −30.6014 | + | 44.3337i | −1.08396 | + | 1.57038i | −0.295445 | + | 0.955360i | \(0.595468\pi\) |
−0.788511 | + | 0.615021i | \(0.789147\pi\) | |||||||
\(798\) | −4.03925 | + | 2.11996i | −0.142988 | + | 0.0750459i | ||||
\(799\) | −2.39350 | + | 19.7122i | −0.0846758 | + | 0.697368i | ||||
\(800\) | 10.1191 | + | 83.3385i | 0.357765 | + | 2.94646i | ||||
\(801\) | −5.54818 | − | 45.6933i | −0.196035 | − | 1.61449i | ||||
\(802\) | 34.0782 | − | 49.3708i | 1.20334 | − | 1.74335i | ||||
\(803\) | 10.0299 | + | 14.5308i | 0.353948 | + | 0.512782i | ||||
\(804\) | −0.812323 | − | 0.426340i | −0.0286484 | − | 0.0150359i | ||||
\(805\) | −8.00605 | + | 21.1102i | −0.282176 | + | 0.744037i | ||||
\(806\) | 1.86530 | − | 2.70235i | 0.0657024 | − | 0.0951863i | ||||
\(807\) | −0.225544 | − | 1.85752i | −0.00793951 | − | 0.0653878i | ||||
\(808\) | 2.03047 | + | 1.79884i | 0.0714316 | + | 0.0632829i | ||||
\(809\) | 3.27242 | + | 2.89911i | 0.115052 | + | 0.101927i | 0.718687 | − | 0.695333i | \(-0.244743\pi\) |
−0.603635 | + | 0.797261i | \(0.706282\pi\) | |||||||
\(810\) | −68.4191 | + | 16.8638i | −2.40400 | + | 0.592533i | ||||
\(811\) | −0.885013 | − | 1.28216i | −0.0310770 | − | 0.0450228i | 0.807137 | − | 0.590364i | \(-0.201016\pi\) |
−0.838214 | + | 0.545341i | \(0.816400\pi\) | |||||||
\(812\) | −20.8849 | + | 18.5024i | −0.732917 | + | 0.649308i | ||||
\(813\) | −0.745371 | + | 0.391201i | −0.0261413 | + | 0.0137200i | ||||
\(814\) | 3.66930 | + | 30.2194i | 0.128609 | + | 1.05919i | ||||
\(815\) | −22.3597 | − | 11.7353i | −0.783226 | − | 0.411069i | ||||
\(816\) | −0.160043 | − | 1.31807i | −0.00560261 | − | 0.0461416i | ||||
\(817\) | −36.1179 | + | 8.90228i | −1.26361 | + | 0.311451i | ||||
\(818\) | 49.7315 | − | 26.1011i | 1.73882 | − | 0.912603i | ||||
\(819\) | −0.199629 | − | 1.64410i | −0.00697562 | − | 0.0574494i | ||||
\(820\) | 7.06206 | + | 58.1613i | 0.246618 | + | 2.03108i | ||||
\(821\) | −0.638915 | − | 5.26194i | −0.0222983 | − | 0.183643i | 0.977304 | − | 0.211841i | \(-0.0679460\pi\) |
−0.999602 | + | 0.0281985i | \(0.991023\pi\) | |||||||
\(822\) | −0.210288 | − | 1.73188i | −0.00733465 | − | 0.0604063i | ||||
\(823\) | −29.0528 | + | 15.2481i | −1.01272 | + | 0.531515i | −0.887594 | − | 0.460626i | \(-0.847625\pi\) |
−0.125123 | + | 0.992141i | \(0.539933\pi\) | |||||||
\(824\) | 1.56057 | − | 0.384645i | 0.0543649 | − | 0.0133998i | ||||
\(825\) | −0.370058 | − | 3.04770i | −0.0128838 | − | 0.106107i | ||||
\(826\) | −5.31698 | − | 2.79056i | −0.185001 | − | 0.0970961i | ||||
\(827\) | −1.75231 | − | 14.4316i | −0.0609339 | − | 0.501836i | −0.990941 | − | 0.134295i | \(-0.957123\pi\) |
0.930007 | − | 0.367541i | \(-0.119800\pi\) | |||||||
\(828\) | −9.37277 | + | 4.91921i | −0.325726 | + | 0.170954i | ||||
\(829\) | −13.1360 | + | 11.6375i | −0.456233 | + | 0.404187i | −0.859694 | − | 0.510810i | \(-0.829346\pi\) |
0.403461 | + | 0.914997i | \(0.367807\pi\) | |||||||
\(830\) | −49.2535 | − | 71.3560i | −1.70961 | − | 2.47680i | ||||
\(831\) | −0.410802 | + | 0.101253i | −0.0142505 | + | 0.00351244i | ||||
\(832\) | −1.08818 | − | 0.964043i | −0.0377258 | − | 0.0334222i | ||||
\(833\) | −10.0155 | − | 8.87298i | −0.347017 | − | 0.307430i | ||||
\(834\) | −0.279409 | − | 2.30114i | −0.00967514 | − | 0.0796819i | ||||
\(835\) | 1.71554 | − | 2.48539i | 0.0593688 | − | 0.0860106i | ||||
\(836\) | −7.79436 | + | 20.5520i | −0.269573 | + | 0.710807i | ||||
\(837\) | −7.29489 | − | 3.82866i | −0.252148 | − | 0.132338i | ||||
\(838\) | 4.47757 | + | 6.48688i | 0.154675 | + | 0.224086i | ||||
\(839\) | −21.7737 | + | 31.5447i | −0.751712 | + | 1.08904i | 0.241233 | + | 0.970467i | \(0.422448\pi\) |
−0.992945 | + | 0.118576i | \(0.962167\pi\) | |||||||
\(840\) | −0.0649705 | − | 0.535080i | −0.00224170 | − | 0.0184620i | ||||
\(841\) | −1.80328 | − | 14.8514i | −0.0621822 | − | 0.512116i | ||||
\(842\) | 6.50003 | − | 53.5326i | 0.224006 | − | 1.84485i | ||||
\(843\) | −0.381498 | + | 0.200226i | −0.0131395 | + | 0.00689613i | ||||
\(844\) | −25.4390 | + | 36.8547i | −0.875646 | + | 1.26859i | ||||
\(845\) | −18.0340 | − | 47.5517i | −0.620388 | − | 1.63583i | ||||
\(846\) | 34.2455 | − | 30.3388i | 1.17738 | − | 1.04307i | ||||
\(847\) | 19.3498 | − | 10.1556i | 0.664867 | − | 0.348949i | ||||
\(848\) | −2.85378 | + | 23.5030i | −0.0979992 | + | 0.807096i | ||||
\(849\) | 0.981155 | + | 1.42145i | 0.0336731 | + | 0.0487840i | ||||
\(850\) | 19.7003 | − | 51.9455i | 0.675715 | − | 1.78171i | ||||
\(851\) | 11.4175 | 0.391386 | ||||||||
\(852\) | −3.26087 | + | 0.803732i | −0.111716 | + | 0.0275354i | ||||
\(853\) | −12.6251 | + | 6.62616i | −0.432275 | + | 0.226875i | −0.666803 | − | 0.745234i | \(-0.732338\pi\) |
0.234528 | + | 0.972109i | \(0.424645\pi\) | |||||||
\(854\) | 2.55032 | − | 21.0038i | 0.0872701 | − | 0.718734i | ||||
\(855\) | 41.3391 | + | 36.6232i | 1.41377 | + | 1.25249i | ||||
\(856\) | 3.16262 | + | 4.58185i | 0.108096 | + | 0.156604i | ||||
\(857\) | 1.29065 | + | 0.318117i | 0.0440878 | + | 0.0108667i | 0.261298 | − | 0.965258i | \(-0.415850\pi\) |
−0.217210 | + | 0.976125i | \(0.569696\pi\) | |||||||
\(858\) | 0.0721234 | + | 0.0638958i | 0.00246225 | + | 0.00218137i | ||||
\(859\) | 5.30814 | − | 13.9964i | 0.181111 | − | 0.477552i | −0.813458 | − | 0.581623i | \(-0.802418\pi\) |
0.994570 | + | 0.104072i | \(0.0331871\pi\) | |||||||
\(860\) | 7.96768 | − | 65.6197i | 0.271696 | − | 2.23761i | ||||
\(861\) | 0.398821 | + | 3.28459i | 0.0135918 | + | 0.111938i | ||||
\(862\) | −50.6786 | + | 26.5982i | −1.72612 | + | 0.905937i | ||||
\(863\) | −17.0171 | − | 8.93127i | −0.579269 | − | 0.304024i | 0.149524 | − | 0.988758i | \(-0.452226\pi\) |
−0.728793 | + | 0.684734i | \(0.759918\pi\) | |||||||
\(864\) | −3.75535 | + | 5.44057i | −0.127760 | + | 0.185092i | ||||
\(865\) | −28.8500 | + | 7.11090i | −0.980931 | + | 0.241778i | ||||
\(866\) | 7.70998 | − | 1.90034i | 0.261996 | − | 0.0645761i | ||||
\(867\) | 0.486951 | − | 1.28399i | 0.0165377 | − | 0.0436064i | ||||
\(868\) | −42.7007 | + | 61.8626i | −1.44936 | + | 2.09975i | ||||
\(869\) | −0.662844 | + | 0.587229i | −0.0224854 | + | 0.0199204i | ||||
\(870\) | −3.61162 | − | 1.89552i | −0.122445 | − | 0.0642643i | ||||
\(871\) | −0.486982 | − | 0.120030i | −0.0165008 | − | 0.00406707i | ||||
\(872\) | −3.40283 | + | 3.01464i | −0.115234 | + | 0.102089i | ||||
\(873\) | −20.7329 | − | 30.0368i | −0.701703 | − | 1.01659i | ||||
\(874\) | 14.1141 | + | 7.40767i | 0.477418 | + | 0.250568i | ||||
\(875\) | −25.9160 | + | 68.3349i | −0.876121 | + | 2.31014i | ||||
\(876\) | −1.35066 | + | 1.95677i | −0.0456346 | + | 0.0661131i | ||||
\(877\) | −14.5732 | + | 38.4262i | −0.492100 | + | 1.29756i | 0.427254 | + | 0.904132i | \(0.359481\pi\) |
−0.919354 | + | 0.393431i | \(0.871288\pi\) | |||||||
\(878\) | 8.46996 | − | 22.3334i | 0.285847 | − | 0.753717i | ||||
\(879\) | 0.0980226 | + | 0.807289i | 0.00330622 | + | 0.0272292i | ||||
\(880\) | 23.5331 | + | 20.8485i | 0.793302 | + | 0.702804i | ||||
\(881\) | −6.07405 | + | 3.18791i | −0.204640 | + | 0.107403i | −0.563930 | − | 0.825823i | \(-0.690711\pi\) |
0.359290 | + | 0.933226i | \(0.383019\pi\) | |||||||
\(882\) | 3.71609 | + | 30.6047i | 0.125127 | + | 1.03051i | ||||
\(883\) | 7.86842 | − | 20.7473i | 0.264793 | − | 0.698202i | −0.735004 | − | 0.678063i | \(-0.762820\pi\) |
0.999797 | − | 0.0201396i | \(-0.00641107\pi\) | |||||||
\(884\) | 0.319783 | + | 0.843199i | 0.0107555 | + | 0.0283598i | ||||
\(885\) | 0.0547232 | − | 0.450686i | 0.00183950 | − | 0.0151497i | ||||
\(886\) | −31.9463 | − | 16.7667i | −1.07326 | − | 0.563288i | ||||
\(887\) | 9.13941 | − | 8.09681i | 0.306871 | − | 0.271864i | −0.495605 | − | 0.868548i | \(-0.665054\pi\) |
0.802477 | + | 0.596684i | \(0.203515\pi\) | |||||||
\(888\) | −0.241357 | + | 0.126674i | −0.00809942 | + | 0.00425090i | ||||
\(889\) | −17.6725 | − | 46.5987i | −0.592718 | − | 1.56287i | ||||
\(890\) | −43.6762 | − | 115.165i | −1.46403 | − | 3.86033i | ||||
\(891\) | −10.8926 | + | 15.7806i | −0.364915 | + | 0.528670i | ||||
\(892\) | −1.92741 | − | 1.01159i | −0.0645346 | − | 0.0338704i | ||||
\(893\) | −34.5971 | − | 8.52741i | −1.15775 | − | 0.285359i | ||||
\(894\) | 1.07521 | + | 2.83509i | 0.0359603 | + | 0.0948195i | ||||
\(895\) | −35.5099 | − | 51.4450i | −1.18697 | − | 1.71962i | ||||
\(896\) | 6.01939 | + | 5.33272i | 0.201094 | + | 0.178154i | ||||
\(897\) | 0.0270510 | − | 0.0239651i | 0.000903205 | − | 0.000800170i | ||||
\(898\) | −1.43893 | −0.0480178 | ||||||||
\(899\) | 13.4122 | + | 35.3651i | 0.447322 | + | 1.17949i | ||||
\(900\) | −58.6194 | + | 30.7658i | −1.95398 | + | 1.02553i | ||||
\(901\) | 9.58661 | − | 13.8886i | 0.319376 | − | 0.462697i | ||||
\(902\) | 23.0730 | + | 20.4409i | 0.768247 | + | 0.680607i | ||||
\(903\) | 0.449964 | − | 3.70579i | 0.0149739 | − | 0.123321i | ||||
\(904\) | 0.498242 | − | 0.441404i | 0.0165713 | − | 0.0146809i | ||||
\(905\) | 7.29932 | + | 60.1153i | 0.242638 | + | 1.99830i | ||||
\(906\) | 3.79817 | + | 5.50260i | 0.126186 | + | 0.182812i | ||||
\(907\) | −29.8807 | −0.992172 | −0.496086 | − | 0.868273i | \(-0.665230\pi\) | ||||
−0.496086 | + | 0.868273i | \(0.665230\pi\) | |||||||
\(908\) | −15.2161 | + | 22.0444i | −0.504965 | + | 0.731568i | ||||
\(909\) | 9.89094 | − | 26.0803i | 0.328062 | − | 0.865028i | ||||
\(910\) | −1.57152 | − | 4.14375i | −0.0520953 | − | 0.137364i | ||||
\(911\) | 1.18002 | − | 9.71830i | 0.0390956 | − | 0.321982i | −0.960020 | − | 0.279932i | \(-0.909688\pi\) |
0.999116 | − | 0.0420498i | \(-0.0133888\pi\) | |||||||
\(912\) | 2.38259 | 0.0788953 | ||||||||
\(913\) | −22.9076 | − | 5.64623i | −0.758133 | − | 0.186863i | ||||
\(914\) | 2.75179 | + | 22.6630i | 0.0910210 | + | 0.749625i | ||||
\(915\) | 1.55318 | − | 0.382826i | 0.0513467 | − | 0.0126558i | ||||
\(916\) | 0.923470 | 0.0305123 | ||||||||
\(917\) | −16.3052 | − | 8.55763i | −0.538445 | − | 0.282598i | ||||
\(918\) | 3.87369 | − | 2.03307i | 0.127851 | − | 0.0671013i | ||||
\(919\) | −22.0978 | − | 19.5770i | −0.728940 | − | 0.645785i | 0.214729 | − | 0.976674i | \(-0.431113\pi\) |
−0.943670 | + | 0.330889i | \(0.892652\pi\) | |||||||
\(920\) | −1.40977 | + | 1.24895i | −0.0464788 | + | 0.0411766i | ||||
\(921\) | 0.354679 | − | 2.92105i | 0.0116871 | − | 0.0962518i | ||||
\(922\) | 49.1908 | + | 25.8173i | 1.62001 | + | 0.850248i | ||||
\(923\) | −1.62579 | + | 0.853282i | −0.0535136 | + | 0.0280861i | ||||
\(924\) | −1.65106 | − | 1.46271i | −0.0543159 | − | 0.0481197i | ||||
\(925\) | 71.4074 | 2.34786 | ||||||||
\(926\) | −7.13936 | − | 1.75969i | −0.234614 | − | 0.0578272i | ||||
\(927\) | −9.38819 | − | 13.6011i | −0.308349 | − | 0.446720i | ||||
\(928\) | 29.4679 | − | 7.26320i | 0.967333 | − | 0.238426i | ||||
\(929\) | −0.766735 | − | 0.188983i | −0.0251558 | − | 0.00620034i | 0.226718 | − | 0.973961i | \(-0.427201\pi\) |
−0.251873 | + | 0.967760i | \(0.581047\pi\) | |||||||
\(930\) | −10.6692 | − | 2.62971i | −0.349856 | − | 0.0862317i | ||||
\(931\) | 17.9724 | − | 15.9221i | 0.589021 | − | 0.521827i | ||||
\(932\) | 1.28252 | − | 10.5625i | 0.0420102 | − | 0.345985i | ||||
\(933\) | 0.850204 | + | 0.753215i | 0.0278344 | + | 0.0246592i | ||||
\(934\) | 28.9398 | + | 7.13302i | 0.946939 | + | 0.233400i | ||||
\(935\) | −7.94681 | − | 20.9540i | −0.259888 | − | 0.685270i | ||||
\(936\) | 0.0489923 | − | 0.129182i | 0.00160136 | − | 0.00422244i | ||||
\(937\) | 36.4560 | − | 8.98559i | 1.19096 | − | 0.293546i | 0.406459 | − | 0.913669i | \(-0.366763\pi\) |
0.784505 | + | 0.620123i | \(0.212917\pi\) | |||||||
\(938\) | 21.5549 | + | 5.31279i | 0.703791 | + | 0.173469i | ||||
\(939\) | −0.147132 | + | 1.21174i | −0.00480149 | + | 0.0395438i | ||||
\(940\) | 35.9688 | − | 52.1099i | 1.17317 | − | 1.69964i | ||||
\(941\) | 23.5540 | + | 34.1239i | 0.767840 | + | 1.11241i | 0.990500 | + | 0.137512i | \(0.0439106\pi\) |
−0.222660 | + | 0.974896i | \(0.571474\pi\) | |||||||
\(942\) | −0.710438 | − | 5.85098i | −0.0231473 | − | 0.190635i | ||||
\(943\) | 8.65387 | − | 7.66666i | 0.281809 | − | 0.249661i | ||||
\(944\) | 1.78160 | + | 2.58109i | 0.0579861 | + | 0.0840074i | ||||
\(945\) | −9.84562 | + | 5.16738i | −0.320278 | + | 0.168095i | ||||
\(946\) | −19.7562 | − | 28.6218i | −0.642331 | − | 0.930576i | ||||
\(947\) | 48.1159 | − | 11.8595i | 1.56356 | − | 0.385382i | 0.639855 | − | 0.768495i | \(-0.278994\pi\) |
0.923701 | + | 0.383113i | \(0.125148\pi\) | |||||||
\(948\) | −0.105592 | − | 0.0554188i | −0.00342946 | − | 0.00179992i | ||||
\(949\) | −0.460947 | + | 1.21542i | −0.0149630 | + | 0.0394541i | ||||
\(950\) | 88.2730 | + | 46.3292i | 2.86395 | + | 1.50312i | ||||
\(951\) | −1.25005 | + | 1.81101i | −0.0405357 | + | 0.0587261i | ||||
\(952\) | −0.941170 | − | 2.48166i | −0.0305035 | − | 0.0804311i | ||||
\(953\) | 15.3031 | + | 13.5574i | 0.495716 | + | 0.439166i | 0.873570 | − | 0.486699i | \(-0.161799\pi\) |
−0.377854 | + | 0.925865i | \(0.623338\pi\) | |||||||
\(954\) | −37.7530 | + | 9.30529i | −1.22230 | + | 0.301270i | ||||
\(955\) | 68.5259 | − | 16.8901i | 2.21744 | − | 0.546551i | ||||
\(956\) | 20.3129 | + | 29.4283i | 0.656966 | + | 0.951780i | ||||
\(957\) | −1.07765 | + | 0.265616i | −0.0348354 | + | 0.00858615i | ||||
\(958\) | −48.2507 | + | 11.8927i | −1.55891 | + | 0.384236i | ||||
\(959\) | 7.74257 | + | 20.4155i | 0.250021 | + | 0.659250i | ||||
\(960\) | −1.72518 | + | 4.54892i | −0.0556799 | + | 0.146816i | ||||
\(961\) | 40.2736 | + | 58.3464i | 1.29915 | + | 1.88214i | ||||
\(962\) | −1.67753 | + | 1.48616i | −0.0540856 | + | 0.0479157i | ||||
\(963\) | 32.5194 | − | 47.1125i | 1.04792 | − | 1.51818i | ||||
\(964\) | −33.6894 | + | 8.30368i | −1.08506 | + | 0.267444i | ||||
\(965\) | 67.0322 | + | 16.5220i | 2.15784 | + | 0.531861i | ||||
\(966\) | −1.19733 | + | 1.06074i | −0.0385235 | + | 0.0341289i | ||||
\(967\) | 25.5543 | − | 6.29856i | 0.821769 | − | 0.202548i | 0.194054 | − | 0.980991i | \(-0.437836\pi\) |
0.627715 | + | 0.778443i | \(0.283990\pi\) | |||||||
\(968\) | 1.82300 | 0.0585934 | ||||||||
\(969\) | −1.50377 | − | 0.789240i | −0.0483081 | − | 0.0253540i | ||||
\(970\) | −73.1021 | − | 64.7628i | −2.34717 | − | 2.07941i | ||||
\(971\) | 26.0243 | 0.835159 | 0.417579 | − | 0.908640i | \(-0.362879\pi\) | ||||
0.417579 | + | 0.908640i | \(0.362879\pi\) | |||||||
\(972\) | −7.60043 | − | 1.87334i | −0.243784 | − | 0.0600873i | ||||
\(973\) | 10.2875 | + | 27.1259i | 0.329802 | + | 0.869618i | ||||
\(974\) | −49.0265 | −1.57091 | ||||||||
\(975\) | 0.169183 | − | 0.149883i | 0.00541818 | − | 0.00480009i | ||||
\(976\) | −6.27751 | + | 9.09455i | −0.200938 | + | 0.291109i | ||||
\(977\) | −31.0130 | −0.992194 | −0.496097 | − | 0.868267i | \(-0.665234\pi\) | ||||
−0.496097 | + | 0.868267i | \(0.665234\pi\) | |||||||
\(978\) | −1.01634 | − | 1.47243i | −0.0324990 | − | 0.0470830i | ||||
\(979\) | −29.6767 | − | 15.5755i | −0.948471 | − | 0.497796i | ||||
\(980\) | 15.1299 | + | 39.8942i | 0.483306 | + | 1.27437i | ||||
\(981\) | 41.3908 | + | 21.7236i | 1.32151 | + | 0.693580i | ||||
\(982\) | −11.6334 | + | 30.6749i | −0.371238 | + | 0.978875i | ||||
\(983\) | −20.1920 | − | 17.8885i | −0.644025 | − | 0.570556i | 0.276610 | − | 0.960982i | \(-0.410789\pi\) |
−0.920634 | + | 0.390426i | \(0.872328\pi\) | |||||||
\(984\) | −0.0978770 | + | 0.258080i | −0.00312020 | + | 0.00822730i | ||||
\(985\) | −42.8026 | − | 22.4645i | −1.36380 | − | 0.715780i | ||||
\(986\) | −19.5009 | − | 4.80654i | −0.621035 | − | 0.153071i | ||||
\(987\) | 2.03129 | − | 2.94284i | 0.0646568 | − | 0.0936716i | ||||
\(988\) | −1.57122 | + | 0.387270i | −0.0499871 | + | 0.0123207i | ||||
\(989\) | −11.5499 | + | 6.06188i | −0.367267 | + | 0.192756i | ||||
\(990\) | −18.3098 | + | 48.2790i | −0.581924 | + | 1.53441i | ||||
\(991\) | 29.9999 | + | 43.4624i | 0.952979 | + | 1.38063i | 0.924562 | + | 0.381032i | \(0.124431\pi\) |
0.0284166 | + | 0.999596i | \(0.490953\pi\) | |||||||
\(992\) | 72.3979 | − | 37.9974i | 2.29864 | − | 1.20642i | ||||
\(993\) | −0.0394834 | + | 0.104109i | −0.00125297 | + | 0.00330381i | ||||
\(994\) | 71.9610 | − | 37.7680i | 2.28246 | − | 1.19793i | ||||
\(995\) | −35.0476 | + | 50.7752i | −1.11108 | + | 1.60968i | ||||
\(996\) | −0.382962 | − | 3.15398i | −0.0121346 | − | 0.0999376i | ||||
\(997\) | 11.0692 | + | 16.0364i | 0.350564 | + | 0.507879i | 0.958108 | − | 0.286406i | \(-0.0924607\pi\) |
−0.607544 | + | 0.794286i | \(0.707845\pi\) | |||||||
\(998\) | −3.77239 | + | 5.46526i | −0.119413 | + | 0.173000i | ||||
\(999\) | 4.20892 | + | 3.72878i | 0.133164 | + | 0.117973i |
(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 | 547.2.f.a.46.7 | ✓ | 528 | |
547.440 | even | 13 | inner | 547.2.f.a.440.7 | yes | 528 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
547.2.f.a.46.7 | ✓ | 528 | 1.1 | even | 1 | trivial | |
547.2.f.a.440.7 | yes | 528 | 547.440 | even | 13 | inner |