Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), 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: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 7.4 | ||
Character | \(\chi\) | \(=\) | 429.7 |
Dual form | 429.2.bs.b.184.4 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{11}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.473247 | + | 1.23285i | −0.334636 | + | 0.871756i | 0.658262 | + | 0.752789i | \(0.271292\pi\) |
−0.992898 | + | 0.118968i | \(0.962042\pi\) | |||||||
\(3\) | 0.669131 | + | 0.743145i | 0.386323 | + | 0.429055i | ||||
\(4\) | 0.190334 | + | 0.171377i | 0.0951668 | + | 0.0856885i | ||||
\(5\) | 4.09856 | + | 0.649148i | 1.83293 | + | 0.290308i | 0.974793 | − | 0.223110i | \(-0.0716210\pi\) |
0.858139 | + | 0.513418i | \(0.171621\pi\) | |||||||
\(6\) | −1.23285 | + | 0.473247i | −0.503309 | + | 0.193202i | ||||
\(7\) | −1.65326 | + | 0.0866439i | −0.624875 | + | 0.0327483i | −0.362146 | − | 0.932121i | \(-0.617956\pi\) |
−0.262729 | + | 0.964870i | \(0.584622\pi\) | |||||||
\(8\) | −2.65461 | + | 1.35259i | −0.938548 | + | 0.478214i | ||||
\(9\) | −0.104528 | + | 0.994522i | −0.0348428 | + | 0.331507i | ||||
\(10\) | −2.73993 | + | 4.74570i | −0.866443 | + | 1.50072i | ||||
\(11\) | −2.44713 | − | 2.23865i | −0.737837 | − | 0.674979i | ||||
\(12\) | 0.256119i | 0.0739352i | ||||||||
\(13\) | −0.413656 | + | 3.58174i | −0.114728 | + | 0.993397i | ||||
\(14\) | 0.675583 | − | 2.07923i | 0.180557 | − | 0.555697i | ||||
\(15\) | 2.26006 | + | 3.48019i | 0.583545 | + | 0.898581i | ||||
\(16\) | −0.357714 | − | 3.40342i | −0.0894284 | − | 0.850855i | ||||
\(17\) | 3.76628 | + | 1.67686i | 0.913457 | + | 0.406697i | 0.808984 | − | 0.587830i | \(-0.200018\pi\) |
0.104473 | + | 0.994528i | \(0.466684\pi\) | |||||||
\(18\) | −1.17663 | − | 0.599522i | −0.277334 | − | 0.141309i | ||||
\(19\) | 2.26467 | − | 3.48729i | 0.519552 | − | 0.800040i | −0.477348 | − | 0.878714i | \(-0.658402\pi\) |
0.996900 | + | 0.0786743i | \(0.0250687\pi\) | |||||||
\(20\) | 0.668844 | + | 0.825954i | 0.149558 | + | 0.184689i | ||||
\(21\) | −1.17064 | − | 1.17064i | −0.255454 | − | 0.255454i | ||||
\(22\) | 3.91802 | − | 1.95750i | 0.835324 | − | 0.417341i | ||||
\(23\) | −3.83971 | − | 2.21686i | −0.800634 | − | 0.462246i | 0.0430588 | − | 0.999073i | \(-0.486290\pi\) |
−0.843693 | + | 0.536826i | \(0.819623\pi\) | |||||||
\(24\) | −2.78146 | − | 1.06770i | −0.567762 | − | 0.217944i | ||||
\(25\) | 11.6215 | + | 3.77606i | 2.32430 | + | 0.755212i | ||||
\(26\) | −4.21999 | − | 2.20502i | −0.827608 | − | 0.432441i | ||||
\(27\) | −0.809017 | + | 0.587785i | −0.155695 | + | 0.113119i | ||||
\(28\) | −0.329520 | − | 0.266840i | −0.0622735 | − | 0.0504281i | ||||
\(29\) | 1.30200 | − | 6.12542i | 0.241775 | − | 1.13746i | −0.674926 | − | 0.737886i | \(-0.735824\pi\) |
0.916700 | − | 0.399575i | \(-0.130842\pi\) | |||||||
\(30\) | −5.36012 | + | 1.13933i | −0.978619 | + | 0.208012i | ||||
\(31\) | 0.813228 | + | 5.13452i | 0.146060 | + | 0.922187i | 0.946484 | + | 0.322752i | \(0.104608\pi\) |
−0.800424 | + | 0.599435i | \(0.795392\pi\) | |||||||
\(32\) | −1.39046 | − | 0.372572i | −0.245801 | − | 0.0658621i | ||||
\(33\) | 0.0261963 | − | 3.31652i | 0.00456020 | − | 0.577332i | ||||
\(34\) | −3.84969 | + | 3.84969i | −0.660216 | + | 0.660216i | ||||
\(35\) | −6.83224 | − | 0.718098i | −1.15486 | − | 0.121381i | ||||
\(36\) | −0.190334 | + | 0.171377i | −0.0317223 | + | 0.0285628i | ||||
\(37\) | 6.64928 | − | 4.31809i | 1.09314 | − | 0.709890i | 0.133475 | − | 0.991052i | \(-0.457386\pi\) |
0.959660 | + | 0.281162i | \(0.0907198\pi\) | |||||||
\(38\) | 3.22756 | + | 4.44235i | 0.523579 | + | 0.720645i | ||||
\(39\) | −2.93854 | + | 2.08925i | −0.470544 | + | 0.334547i | ||||
\(40\) | −11.7581 | + | 3.82045i | −1.85912 | + | 0.604066i | ||||
\(41\) | −9.81360 | − | 0.514309i | −1.53263 | − | 0.0803215i | −0.732755 | − | 0.680493i | \(-0.761766\pi\) |
−0.799871 | + | 0.600171i | \(0.795099\pi\) | |||||||
\(42\) | 1.99722 | − | 0.889220i | 0.308178 | − | 0.137210i | ||||
\(43\) | 3.37359 | + | 5.84323i | 0.514468 | + | 0.891084i | 0.999859 | + | 0.0167872i | \(0.00534377\pi\) |
−0.485391 | + | 0.874297i | \(0.661323\pi\) | |||||||
\(44\) | −0.0821164 | − | 0.845472i | −0.0123795 | − | 0.127460i | ||||
\(45\) | −1.07401 | + | 4.00825i | −0.160104 | + | 0.597515i | ||||
\(46\) | 4.55018 | − | 3.68466i | 0.670887 | − | 0.543274i | ||||
\(47\) | −0.845795 | − | 1.65997i | −0.123372 | − | 0.242131i | 0.821057 | − | 0.570846i | \(-0.193385\pi\) |
−0.944429 | + | 0.328715i | \(0.893385\pi\) | |||||||
\(48\) | 2.28988 | − | 2.54316i | 0.330515 | − | 0.367074i | ||||
\(49\) | −4.23588 | + | 0.445209i | −0.605126 | + | 0.0636013i | ||||
\(50\) | −10.1552 | + | 12.5406i | −1.43616 | + | 1.77351i | ||||
\(51\) | 1.27399 | + | 3.92093i | 0.178394 | + | 0.549040i | ||||
\(52\) | −0.692561 | + | 0.610835i | −0.0960410 | + | 0.0847075i | ||||
\(53\) | 2.16977 | + | 1.57643i | 0.298040 | + | 0.216539i | 0.726748 | − | 0.686904i | \(-0.241031\pi\) |
−0.428708 | + | 0.903443i | \(0.641031\pi\) | |||||||
\(54\) | −0.341786 | − | 1.27556i | −0.0465112 | − | 0.173582i | ||||
\(55\) | −8.57648 | − | 10.7638i | −1.15645 | − | 1.45139i | ||||
\(56\) | 4.27158 | − | 2.46620i | 0.570814 | − | 0.329560i | ||||
\(57\) | 4.10693 | − | 0.650473i | 0.543976 | − | 0.0861573i | ||||
\(58\) | 6.93555 | + | 4.50400i | 0.910682 | + | 0.591404i | ||||
\(59\) | −0.150615 | − | 2.87390i | −0.0196084 | − | 0.374150i | −0.990755 | − | 0.135666i | \(-0.956683\pi\) |
0.971146 | − | 0.238485i | \(-0.0766507\pi\) | |||||||
\(60\) | −0.166259 | + | 1.04972i | −0.0214640 | + | 0.135518i | ||||
\(61\) | 2.47971 | − | 5.56951i | 0.317494 | − | 0.713103i | −0.682346 | − | 0.731030i | \(-0.739040\pi\) |
0.999839 | + | 0.0179271i | \(0.00570669\pi\) | |||||||
\(62\) | −6.71495 | − | 1.42731i | −0.852799 | − | 0.181268i | ||||
\(63\) | 0.0866439 | − | 1.65326i | 0.0109161 | − | 0.208292i | ||||
\(64\) | 5.14035 | − | 7.07509i | 0.642544 | − | 0.884386i | ||||
\(65\) | −4.02048 | + | 14.4115i | −0.498679 | + | 1.78752i | ||||
\(66\) | 4.07638 | + | 1.60183i | 0.501767 | + | 0.197172i | ||||
\(67\) | 5.86328 | − | 1.57106i | 0.716314 | − | 0.191936i | 0.117787 | − | 0.993039i | \(-0.462420\pi\) |
0.598526 | + | 0.801103i | \(0.295753\pi\) | |||||||
\(68\) | 0.429475 | + | 0.964616i | 0.0520815 | + | 0.116977i | ||||
\(69\) | −0.921820 | − | 4.33682i | −0.110974 | − | 0.522092i | ||||
\(70\) | 4.11864 | − | 8.08329i | 0.492272 | − | 0.966138i | ||||
\(71\) | −3.50264 | − | 9.12468i | −0.415687 | − | 1.08290i | −0.968372 | − | 0.249511i | \(-0.919730\pi\) |
0.552685 | − | 0.833390i | \(-0.313603\pi\) | |||||||
\(72\) | −1.06770 | − | 2.78146i | −0.125830 | − | 0.327798i | ||||
\(73\) | 5.13243 | − | 10.0730i | 0.600706 | − | 1.17895i | −0.367787 | − | 0.929910i | \(-0.619885\pi\) |
0.968493 | − | 0.249041i | \(-0.0801154\pi\) | |||||||
\(74\) | 2.17681 | + | 10.2411i | 0.253049 | + | 1.19050i | ||||
\(75\) | 4.97015 | + | 11.1632i | 0.573904 | + | 1.28901i | ||||
\(76\) | 1.02869 | − | 0.275635i | 0.117998 | − | 0.0316176i | ||||
\(77\) | 4.23971 | + | 3.48906i | 0.483160 | + | 0.397615i | ||||
\(78\) | −1.18507 | − | 4.61151i | −0.134183 | − | 0.522151i | ||||
\(79\) | −5.96743 | + | 8.21346i | −0.671388 | + | 0.924087i | −0.999791 | − | 0.0204510i | \(-0.993490\pi\) |
0.328402 | + | 0.944538i | \(0.393490\pi\) | |||||||
\(80\) | 0.743212 | − | 14.1813i | 0.0830936 | − | 1.58552i | ||||
\(81\) | −0.978148 | − | 0.207912i | −0.108683 | − | 0.0231013i | ||||
\(82\) | 5.27832 | − | 11.8553i | 0.582893 | − | 1.30920i | ||||
\(83\) | 1.06501 | − | 6.72420i | 0.116900 | − | 0.738077i | −0.857705 | − | 0.514143i | \(-0.828110\pi\) |
0.974604 | − | 0.223934i | \(-0.0718899\pi\) | |||||||
\(84\) | −0.0221911 | − | 0.423432i | −0.00242125 | − | 0.0462002i | ||||
\(85\) | 14.3478 | + | 9.31757i | 1.55624 | + | 1.01063i | ||||
\(86\) | −8.80036 | + | 1.39384i | −0.948968 | + | 0.150302i | ||||
\(87\) | 5.42328 | − | 3.13113i | 0.581436 | − | 0.335692i | ||||
\(88\) | 9.52416 | + | 2.63279i | 1.01528 | + | 0.280657i | ||||
\(89\) | 1.30280 | + | 4.86213i | 0.138097 | + | 0.515385i | 0.999966 | + | 0.00825404i | \(0.00262737\pi\) |
−0.861869 | + | 0.507131i | \(0.830706\pi\) | |||||||
\(90\) | −4.43330 | − | 3.22098i | −0.467311 | − | 0.339521i | ||||
\(91\) | 0.373547 | − | 5.95741i | 0.0391583 | − | 0.624506i | ||||
\(92\) | −0.350907 | − | 1.07998i | −0.0365845 | − | 0.112596i | ||||
\(93\) | −3.27154 | + | 4.04001i | −0.339242 | + | 0.418930i | ||||
\(94\) | 2.44676 | − | 0.257165i | 0.252364 | − | 0.0265245i | ||||
\(95\) | 11.5457 | − | 12.8228i | 1.18456 | − | 1.31559i | ||||
\(96\) | −0.653523 | − | 1.28261i | −0.0666999 | − | 0.130906i | ||||
\(97\) | −8.95060 | + | 7.24805i | −0.908796 | + | 0.735928i | −0.964933 | − | 0.262495i | \(-0.915455\pi\) |
0.0561376 | + | 0.998423i | \(0.482121\pi\) | |||||||
\(98\) | 1.45574 | − | 5.43290i | 0.147052 | − | 0.548806i | ||||
\(99\) | 2.48218 | − | 2.19972i | 0.249469 | − | 0.221080i | ||||
\(100\) | 1.56483 | + | 2.71037i | 0.156483 | + | 0.271037i | ||||
\(101\) | 7.38426 | − | 3.28768i | 0.734761 | − | 0.327137i | −0.00501722 | − | 0.999987i | \(-0.501597\pi\) |
0.739778 | + | 0.672851i | \(0.234930\pi\) | |||||||
\(102\) | −5.43682 | − | 0.284932i | −0.538326 | − | 0.0282125i | ||||
\(103\) | 5.56506 | − | 1.80820i | 0.548342 | − | 0.178167i | −0.0217273 | − | 0.999764i | \(-0.506917\pi\) |
0.570069 | + | 0.821597i | \(0.306917\pi\) | |||||||
\(104\) | −3.74654 | − | 10.0677i | −0.367379 | − | 0.987215i | ||||
\(105\) | −4.03801 | − | 5.55785i | −0.394070 | − | 0.542390i | ||||
\(106\) | −2.97033 | + | 1.92896i | −0.288504 | + | 0.187357i | ||||
\(107\) | −4.83399 | + | 4.35254i | −0.467319 | + | 0.420776i | −0.868855 | − | 0.495067i | \(-0.835143\pi\) |
0.401535 | + | 0.915844i | \(0.368477\pi\) | |||||||
\(108\) | −0.254716 | − | 0.0267717i | −0.0245101 | − | 0.00257611i | ||||
\(109\) | −4.34040 | + | 4.34040i | −0.415735 | + | 0.415735i | −0.883731 | − | 0.467996i | \(-0.844976\pi\) |
0.467996 | + | 0.883731i | \(0.344976\pi\) | |||||||
\(110\) | 17.3289 | − | 5.47958i | 1.65225 | − | 0.522457i | ||||
\(111\) | 7.65821 | + | 2.05201i | 0.726885 | + | 0.194768i | ||||
\(112\) | 0.886280 | + | 5.59575i | 0.0837456 | + | 0.528749i | ||||
\(113\) | 14.1825 | − | 3.01459i | 1.33418 | − | 0.283588i | 0.515031 | − | 0.857172i | \(-0.327780\pi\) |
0.819147 | + | 0.573583i | \(0.194447\pi\) | |||||||
\(114\) | −1.14165 | + | 5.37106i | −0.106926 | + | 0.503046i | ||||
\(115\) | −14.2982 | − | 11.5785i | −1.33331 | − | 1.07970i | ||||
\(116\) | 1.29757 | − | 0.942739i | 0.120476 | − | 0.0875312i | ||||
\(117\) | −3.51888 | − | 0.785784i | −0.325321 | − | 0.0726458i | ||||
\(118\) | 3.61437 | + | 1.17438i | 0.332730 | + | 0.108110i | ||||
\(119\) | −6.37194 | − | 2.44596i | −0.584115 | − | 0.224221i | ||||
\(120\) | −10.7069 | − | 6.18161i | −0.977399 | − | 0.564302i | ||||
\(121\) | 0.976860 | + | 10.9565i | 0.0888055 | + | 0.996049i | ||||
\(122\) | 5.69286 | + | 5.69286i | 0.515407 | + | 0.515407i | ||||
\(123\) | −6.18437 | − | 7.63706i | −0.557626 | − | 0.688611i | ||||
\(124\) | −0.725154 | + | 1.11664i | −0.0651208 | + | 0.100277i | ||||
\(125\) | 26.6935 | + | 13.6010i | 2.38754 | + | 1.21651i | ||||
\(126\) | 1.99722 | + | 0.889220i | 0.177927 | + | 0.0792180i | ||||
\(127\) | 1.17359 | + | 11.1660i | 0.104139 | + | 0.990819i | 0.914417 | + | 0.404773i | \(0.132649\pi\) |
−0.810278 | + | 0.586046i | \(0.800684\pi\) | |||||||
\(128\) | 4.72184 | + | 7.27100i | 0.417356 | + | 0.642671i | ||||
\(129\) | −2.08499 | + | 6.41695i | −0.183573 | + | 0.564981i | ||||
\(130\) | −15.8645 | − | 11.7768i | −1.39141 | − | 1.03290i | ||||
\(131\) | − | 6.60960i | − | 0.577484i | −0.957407 | − | 0.288742i | \(-0.906763\pi\) | ||
0.957407 | − | 0.288742i | \(-0.0932369\pi\) | |||||||
\(132\) | 0.573362 | − | 0.626756i | 0.0499047 | − | 0.0545521i | ||||
\(133\) | −3.44195 | + | 5.96163i | −0.298455 | + | 0.516939i | ||||
\(134\) | −0.837895 | + | 7.97204i | −0.0723831 | + | 0.688680i | ||||
\(135\) | −3.69736 | + | 1.88390i | −0.318218 | + | 0.162140i | ||||
\(136\) | −12.2661 | + | 0.642840i | −1.05181 | + | 0.0551231i | ||||
\(137\) | −20.3314 | + | 7.80448i | −1.73703 | + | 0.666781i | −0.999959 | − | 0.00903940i | \(-0.997123\pi\) |
−0.737066 | + | 0.675821i | \(0.763789\pi\) | |||||||
\(138\) | 5.78290 | + | 0.915921i | 0.492273 | + | 0.0779684i | ||||
\(139\) | 2.62956 | + | 2.36767i | 0.223037 | + | 0.200823i | 0.773072 | − | 0.634318i | \(-0.218719\pi\) |
−0.550035 | + | 0.835141i | \(0.685386\pi\) | |||||||
\(140\) | −1.17734 | − | 1.30757i | −0.0995034 | − | 0.110510i | ||||
\(141\) | 0.667648 | − | 1.73928i | 0.0562261 | − | 0.146474i | ||||
\(142\) | 12.9070 | 1.08313 | ||||||||
\(143\) | 9.03055 | − | 7.83895i | 0.755173 | − | 0.655526i | ||||
\(144\) | 3.42216 | 0.285180 | ||||||||
\(145\) | 9.31262 | − | 24.2602i | 0.773371 | − | 2.01470i | ||||
\(146\) | 9.98954 | + | 11.0945i | 0.826740 | + | 0.918188i | ||||
\(147\) | −3.16521 | − | 2.84997i | −0.261062 | − | 0.235062i | ||||
\(148\) | 2.00560 | + | 0.317656i | 0.164860 | + | 0.0261112i | ||||
\(149\) | 4.03323 | − | 1.54821i | 0.330415 | − | 0.126834i | −0.187505 | − | 0.982264i | \(-0.560040\pi\) |
0.517920 | + | 0.855429i | \(0.326707\pi\) | |||||||
\(150\) | −16.1146 | + | 0.844530i | −1.31575 | + | 0.0689556i | ||||
\(151\) | 14.7031 | − | 7.49161i | 1.19652 | − | 0.609659i | 0.261829 | − | 0.965114i | \(-0.415674\pi\) |
0.934693 | + | 0.355456i | \(0.115674\pi\) | |||||||
\(152\) | −1.29495 | + | 12.3206i | −0.105034 | + | 0.999332i | ||||
\(153\) | −2.06135 | + | 3.57037i | −0.166651 | + | 0.288647i | ||||
\(154\) | −6.30791 | + | 3.57574i | −0.508306 | + | 0.288142i | ||||
\(155\) | 21.5720i | 1.73271i | ||||||||
\(156\) | −0.917353 | − | 0.105945i | −0.0734470 | − | 0.00848241i | ||||
\(157\) | −0.883359 | + | 2.71870i | −0.0704997 | + | 0.216976i | −0.980098 | − | 0.198512i | \(-0.936389\pi\) |
0.909599 | + | 0.415488i | \(0.136389\pi\) | |||||||
\(158\) | −7.30190 | − | 11.2439i | −0.580908 | − | 0.894520i | ||||
\(159\) | 0.280343 | + | 2.66729i | 0.0222326 | + | 0.211529i | ||||
\(160\) | −5.45702 | − | 2.42962i | −0.431415 | − | 0.192078i | ||||
\(161\) | 6.54012 | + | 3.33236i | 0.515434 | + | 0.262627i | ||||
\(162\) | 0.719229 | − | 1.10752i | 0.0565080 | − | 0.0870146i | ||||
\(163\) | −12.2986 | − | 15.1875i | −0.963302 | − | 1.18958i | −0.981832 | − | 0.189750i | \(-0.939232\pi\) |
0.0185304 | − | 0.999828i | \(-0.494101\pi\) | |||||||
\(164\) | −1.77972 | − | 1.77972i | −0.138972 | − | 0.138972i | ||||
\(165\) | 2.26028 | − | 13.5760i | 0.175963 | − | 1.05689i | ||||
\(166\) | 7.78591 | + | 4.49520i | 0.604304 | + | 0.348895i | ||||
\(167\) | −14.0438 | − | 5.39092i | −1.08674 | − | 0.417162i | −0.251959 | − | 0.967738i | \(-0.581075\pi\) |
−0.834785 | + | 0.550576i | \(0.814408\pi\) | |||||||
\(168\) | 4.69099 | + | 1.52419i | 0.361918 | + | 0.117594i | ||||
\(169\) | −12.6578 | − | 2.96322i | −0.973675 | − | 0.227940i | ||||
\(170\) | −18.2772 | + | 13.2792i | −1.40180 | + | 1.01847i | ||||
\(171\) | 3.23147 | + | 2.61679i | 0.247116 | + | 0.200111i | ||||
\(172\) | −0.359288 | + | 1.69032i | −0.0273955 | + | 0.128886i | ||||
\(173\) | 2.10591 | − | 0.447625i | 0.160109 | − | 0.0340323i | −0.127159 | − | 0.991882i | \(-0.540586\pi\) |
0.287269 | + | 0.957850i | \(0.407253\pi\) | |||||||
\(174\) | 1.29367 | + | 8.16788i | 0.0980725 | + | 0.619206i | ||||
\(175\) | −19.5406 | − | 5.23589i | −1.47713 | − | 0.395796i | ||||
\(176\) | −6.74370 | + | 9.12939i | −0.508326 | + | 0.688154i | ||||
\(177\) | 2.03495 | − | 2.03495i | 0.152956 | − | 0.152956i | ||||
\(178\) | −6.61083 | − | 0.694826i | −0.495503 | − | 0.0520794i | ||||
\(179\) | 12.2659 | − | 11.0443i | 0.916799 | − | 0.825490i | −0.0682665 | − | 0.997667i | \(-0.521747\pi\) |
0.985066 | + | 0.172177i | \(0.0550802\pi\) | |||||||
\(180\) | −0.891343 | + | 0.578845i | −0.0664368 | + | 0.0431445i | ||||
\(181\) | −2.99077 | − | 4.11645i | −0.222303 | − | 0.305973i | 0.683269 | − | 0.730167i | \(-0.260558\pi\) |
−0.905572 | + | 0.424194i | \(0.860558\pi\) | |||||||
\(182\) | 7.16781 | + | 3.27985i | 0.531313 | + | 0.243119i | ||||
\(183\) | 5.79820 | − | 1.88395i | 0.428615 | − | 0.139266i | ||||
\(184\) | 13.1914 | + | 0.691334i | 0.972486 | + | 0.0509658i | ||||
\(185\) | 30.0556 | − | 13.3816i | 2.20973 | − | 0.983835i | ||||
\(186\) | −3.43248 | − | 5.94523i | −0.251682 | − | 0.435926i | ||||
\(187\) | −5.46266 | − | 12.5349i | −0.399470 | − | 0.916641i | ||||
\(188\) | 0.123497 | − | 0.460897i | 0.00900695 | − | 0.0336144i | ||||
\(189\) | 1.28659 | − | 1.04186i | 0.0935857 | − | 0.0757842i | ||||
\(190\) | 10.3446 | + | 20.3024i | 0.750476 | + | 1.47289i | ||||
\(191\) | −2.30735 | + | 2.56257i | −0.166954 | + | 0.185421i | −0.820816 | − | 0.571193i | \(-0.806481\pi\) |
0.653862 | + | 0.756614i | \(0.273148\pi\) | |||||||
\(192\) | 8.69738 | − | 0.914131i | 0.627679 | − | 0.0659718i | ||||
\(193\) | −0.152923 | + | 0.188844i | −0.0110076 | + | 0.0135933i | −0.782620 | − | 0.622500i | \(-0.786117\pi\) |
0.771612 | + | 0.636093i | \(0.219451\pi\) | |||||||
\(194\) | −4.69992 | − | 14.4649i | −0.337435 | − | 1.03852i | ||||
\(195\) | −13.4000 | + | 6.65536i | −0.959596 | + | 0.476600i | ||||
\(196\) | −0.882529 | − | 0.641195i | −0.0630378 | − | 0.0457996i | ||||
\(197\) | −6.82665 | − | 25.4774i | −0.486379 | − | 1.81519i | −0.573771 | − | 0.819016i | \(-0.694520\pi\) |
0.0873925 | − | 0.996174i | \(-0.472147\pi\) | |||||||
\(198\) | 1.53724 | + | 4.10117i | 0.109247 | + | 0.291457i | ||||
\(199\) | −2.19816 | + | 1.26911i | −0.155823 | + | 0.0899647i | −0.575884 | − | 0.817531i | \(-0.695342\pi\) |
0.420061 | + | 0.907496i | \(0.362009\pi\) | |||||||
\(200\) | −35.9581 | + | 5.69521i | −2.54262 | + | 0.402712i | ||||
\(201\) | 5.09083 | + | 3.30602i | 0.359079 | + | 0.233189i | ||||
\(202\) | 0.558644 | + | 10.6596i | 0.0393061 | + | 0.750004i | ||||
\(203\) | −1.62181 | + | 10.2397i | −0.113829 | + | 0.718688i | ||||
\(204\) | −0.429475 | + | 0.964616i | −0.0300692 | + | 0.0675366i | ||||
\(205\) | −39.8878 | − | 8.47840i | −2.78588 | − | 0.592157i | ||||
\(206\) | −0.404410 | + | 7.71660i | −0.0281766 | + | 0.537641i | ||||
\(207\) | 2.60607 | − | 3.58695i | 0.181134 | − | 0.249310i | ||||
\(208\) | 12.3381 | + | 0.126607i | 0.855496 | + | 0.00877861i | ||||
\(209\) | −13.3488 | + | 3.46403i | −0.923355 | + | 0.239612i | ||||
\(210\) | 8.76297 | − | 2.34803i | 0.604702 | − | 0.162029i | ||||
\(211\) | 6.49816 | + | 14.5951i | 0.447352 | + | 1.00477i | 0.986680 | + | 0.162673i | \(0.0520115\pi\) |
−0.539328 | + | 0.842096i | \(0.681322\pi\) | |||||||
\(212\) | 0.142816 | + | 0.671895i | 0.00980862 | + | 0.0461459i | ||||
\(213\) | 4.43724 | − | 8.70857i | 0.304035 | − | 0.596702i | ||||
\(214\) | −3.07836 | − | 8.01941i | −0.210433 | − | 0.548195i | ||||
\(215\) | 10.0337 | + | 26.1388i | 0.684295 | + | 1.78265i | ||||
\(216\) | 1.35259 | − | 2.65461i | 0.0920323 | − | 0.180624i | ||||
\(217\) | −1.78935 | − | 8.41825i | −0.121469 | − | 0.571468i | ||||
\(218\) | −3.29698 | − | 7.40514i | −0.223300 | − | 0.501539i | ||||
\(219\) | 10.9199 | − | 2.92599i | 0.737901 | − | 0.197720i | ||||
\(220\) | 0.212278 | − | 3.51852i | 0.0143118 | − | 0.237219i | ||||
\(221\) | −7.56401 | + | 12.7962i | −0.508811 | + | 0.860766i | ||||
\(222\) | −6.15404 | + | 8.47031i | −0.413032 | + | 0.568490i | ||||
\(223\) | −0.484844 | + | 9.25137i | −0.0324675 | + | 0.619518i | 0.933140 | + | 0.359513i | \(0.117057\pi\) |
−0.965607 | + | 0.260004i | \(0.916276\pi\) | |||||||
\(224\) | 2.33107 | + | 0.495485i | 0.155751 | + | 0.0331060i | ||||
\(225\) | −4.97015 | + | 11.1632i | −0.331344 | + | 0.744210i | ||||
\(226\) | −2.99529 | + | 18.9115i | −0.199244 | + | 1.25798i | ||||
\(227\) | 0.157070 | + | 2.99707i | 0.0104251 | + | 0.198923i | 0.998877 | + | 0.0473856i | \(0.0150890\pi\) |
−0.988452 | + | 0.151537i | \(0.951578\pi\) | |||||||
\(228\) | 0.893162 | + | 0.580026i | 0.0591511 | + | 0.0384132i | ||||
\(229\) | −25.8406 | + | 4.09275i | −1.70760 | + | 0.270457i | −0.932444 | − | 0.361316i | \(-0.882328\pi\) |
−0.775154 | + | 0.631773i | \(0.782328\pi\) | |||||||
\(230\) | 21.0411 | − | 12.1481i | 1.38741 | − | 0.801020i | ||||
\(231\) | 0.244047 | + | 5.48535i | 0.0160571 | + | 0.360910i | ||||
\(232\) | 4.82890 | + | 18.0217i | 0.317033 | + | 1.18318i | ||||
\(233\) | 16.8636 | + | 12.2521i | 1.10477 | + | 0.802664i | 0.981832 | − | 0.189750i | \(-0.0607679\pi\) |
0.122939 | + | 0.992414i | \(0.460768\pi\) | |||||||
\(234\) | 2.63405 | − | 3.96639i | 0.172194 | − | 0.259291i | ||||
\(235\) | −2.38898 | − | 7.35252i | −0.155840 | − | 0.479625i | ||||
\(236\) | 0.463854 | − | 0.572812i | 0.0301943 | − | 0.0372869i | ||||
\(237\) | −10.0968 | + | 1.06121i | −0.655857 | + | 0.0689333i | ||||
\(238\) | 6.03100 | − | 6.69810i | 0.390932 | − | 0.434174i | ||||
\(239\) | 6.31225 | + | 12.3885i | 0.408306 | + | 0.801345i | 0.999988 | − | 0.00482615i | \(-0.00153622\pi\) |
−0.591683 | + | 0.806171i | \(0.701536\pi\) | |||||||
\(240\) | 11.0361 | − | 8.93684i | 0.712376 | − | 0.576871i | ||||
\(241\) | −3.28683 | + | 12.2666i | −0.211723 | + | 0.790162i | 0.775571 | + | 0.631260i | \(0.217462\pi\) |
−0.987294 | + | 0.158902i | \(0.949205\pi\) | |||||||
\(242\) | −13.9701 | − | 3.98082i | −0.898030 | − | 0.255897i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 1.42646 | − | 0.635100i | 0.0913196 | − | 0.0406581i | ||||
\(245\) | −17.6500 | − | 0.924998i | −1.12762 | − | 0.0590960i | ||||
\(246\) | 12.3421 | − | 4.01019i | 0.786903 | − | 0.255680i | ||||
\(247\) | 11.5538 | + | 9.55402i | 0.735150 | + | 0.607908i | ||||
\(248\) | −9.10372 | − | 12.5302i | −0.578087 | − | 0.795668i | ||||
\(249\) | 5.70968 | − | 3.70791i | 0.361836 | − | 0.234979i | ||||
\(250\) | −29.4006 | + | 26.4724i | −1.85946 | + | 1.67426i | ||||
\(251\) | −13.7726 | − | 1.44755i | −0.869316 | − | 0.0913688i | −0.340641 | − | 0.940193i | \(-0.610644\pi\) |
−0.528675 | + | 0.848825i | \(0.677311\pi\) | |||||||
\(252\) | 0.299823 | − | 0.299823i | 0.0188871 | − | 0.0188871i | ||||
\(253\) | 4.43348 | + | 14.0207i | 0.278730 | + | 0.881474i | ||||
\(254\) | −14.3213 | − | 3.83739i | −0.898601 | − | 0.240779i | ||||
\(255\) | 2.67625 | + | 16.8972i | 0.167593 | + | 1.05814i | ||||
\(256\) | 5.90972 | − | 1.25615i | 0.369358 | − | 0.0785094i | ||||
\(257\) | −5.58379 | + | 26.2696i | −0.348307 | + | 1.63866i | 0.360145 | + | 0.932896i | \(0.382727\pi\) |
−0.708452 | + | 0.705759i | \(0.750606\pi\) | |||||||
\(258\) | −6.92442 | − | 5.60728i | −0.431095 | − | 0.349094i | ||||
\(259\) | −10.6189 | + | 7.71507i | −0.659825 | + | 0.479391i | ||||
\(260\) | −3.23503 | + | 2.05397i | −0.200628 | + | 0.127382i | ||||
\(261\) | 5.95576 | + | 1.93515i | 0.368653 | + | 0.119782i | ||||
\(262\) | 8.14864 | + | 3.12797i | 0.503425 | + | 0.193247i | ||||
\(263\) | 13.3431 | + | 7.70362i | 0.822768 | + | 0.475025i | 0.851370 | − | 0.524566i | \(-0.175772\pi\) |
−0.0286021 | + | 0.999591i | \(0.509106\pi\) | |||||||
\(264\) | 4.41636 | + | 8.83952i | 0.271808 | + | 0.544035i | ||||
\(265\) | 7.86958 | + | 7.86958i | 0.483424 | + | 0.483424i | ||||
\(266\) | −5.72091 | − | 7.06473i | −0.350771 | − | 0.433166i | ||||
\(267\) | −2.74152 | + | 4.22158i | −0.167779 | + | 0.258356i | ||||
\(268\) | 1.38522 | + | 0.705806i | 0.0846159 | + | 0.0431140i | ||||
\(269\) | −25.9728 | − | 11.5638i | −1.58359 | − | 0.705059i | −0.588920 | − | 0.808191i | \(-0.700447\pi\) |
−0.994668 | + | 0.103133i | \(0.967113\pi\) | |||||||
\(270\) | −0.572802 | − | 5.44985i | −0.0348596 | − | 0.331667i | ||||
\(271\) | −6.58555 | − | 10.1409i | −0.400044 | − | 0.616014i | 0.580042 | − | 0.814586i | \(-0.303036\pi\) |
−0.980086 | + | 0.198573i | \(0.936369\pi\) | |||||||
\(272\) | 4.35979 | − | 13.4181i | 0.264351 | − | 0.813589i | ||||
\(273\) | 4.67717 | − | 3.70868i | 0.283075 | − | 0.224460i | ||||
\(274\) | − | 28.7590i | − | 1.73739i | ||||||
\(275\) | −19.9860 | − | 35.2571i | −1.20520 | − | 2.12608i | ||||
\(276\) | 0.567779 | − | 0.983422i | 0.0341763 | − | 0.0591950i | ||||
\(277\) | −0.494087 | + | 4.70092i | −0.0296868 | + | 0.282451i | 0.969600 | + | 0.244695i | \(0.0786877\pi\) |
−0.999287 | + | 0.0377563i | \(0.987979\pi\) | |||||||
\(278\) | −4.16341 | + | 2.12137i | −0.249705 | + | 0.127231i | ||||
\(279\) | −5.19140 | + | 0.272070i | −0.310801 | + | 0.0162884i | ||||
\(280\) | 19.1083 | − | 7.33497i | 1.14194 | − | 0.438349i | ||||
\(281\) | −9.27010 | − | 1.46824i | −0.553008 | − | 0.0875878i | −0.126325 | − | 0.991989i | \(-0.540318\pi\) |
−0.426683 | + | 0.904401i | \(0.640318\pi\) | |||||||
\(282\) | 1.82831 | + | 1.64622i | 0.108874 | + | 0.0980310i | ||||
\(283\) | −2.04147 | − | 2.26728i | −0.121353 | − | 0.134776i | 0.679407 | − | 0.733762i | \(-0.262237\pi\) |
−0.800760 | + | 0.598986i | \(0.795571\pi\) | |||||||
\(284\) | 0.897092 | − | 2.33700i | 0.0532326 | − | 0.138676i | ||||
\(285\) | 17.2547 | 1.02208 | ||||||||
\(286\) | 5.39057 | + | 14.8431i | 0.318751 | + | 0.877689i | ||||
\(287\) | 16.2690 | 0.960330 | ||||||||
\(288\) | 0.515873 | − | 1.34390i | 0.0303981 | − | 0.0791898i | ||||
\(289\) | −0.00220364 | − | 0.00244739i | −0.000129626 | − | 0.000143964i | ||||
\(290\) | 25.5020 | + | 22.9621i | 1.49753 | + | 1.34838i | ||||
\(291\) | −11.3755 | − | 1.80170i | −0.666842 | − | 0.105617i | ||||
\(292\) | 2.70315 | − | 1.03764i | 0.158190 | − | 0.0607234i | ||||
\(293\) | 11.2987 | − | 0.592139i | 0.660077 | − | 0.0345931i | 0.280643 | − | 0.959812i | \(-0.409452\pi\) |
0.379433 | + | 0.925219i | \(0.376119\pi\) | |||||||
\(294\) | 5.01151 | − | 2.55349i | 0.292277 | − | 0.148923i | ||||
\(295\) | 1.24829 | − | 11.8766i | 0.0726780 | − | 0.691485i | ||||
\(296\) | −11.8107 | + | 20.4566i | −0.686480 | + | 1.18902i | ||||
\(297\) | 3.29561 | + | 0.372724i | 0.191231 | + | 0.0216276i | ||||
\(298\) | 5.70505i | 0.330485i | ||||||||
\(299\) | 9.52853 | − | 12.8358i | 0.551049 | − | 0.742315i | ||||
\(300\) | −0.967121 | + | 2.97649i | −0.0558368 | + | 0.171848i | ||||
\(301\) | −6.08371 | − | 9.36810i | −0.350659 | − | 0.539968i | ||||
\(302\) | 2.27783 | + | 21.6721i | 0.131074 | + | 1.24709i | ||||
\(303\) | 7.38426 | + | 3.28768i | 0.424215 | + | 0.188872i | ||||
\(304\) | −12.6788 | − | 6.46018i | −0.727180 | − | 0.370517i | ||||
\(305\) | 13.7787 | − | 21.2173i | 0.788964 | − | 1.21490i | ||||
\(306\) | −3.42620 | − | 4.23100i | −0.195863 | − | 0.241870i | ||||
\(307\) | −1.99618 | − | 1.99618i | −0.113928 | − | 0.113928i | 0.647845 | − | 0.761772i | \(-0.275671\pi\) |
−0.761772 | + | 0.647845i | \(0.775671\pi\) | |||||||
\(308\) | 0.209015 | + | 1.39067i | 0.0119097 | + | 0.0792410i | ||||
\(309\) | 5.06750 | + | 2.92572i | 0.288280 | + | 0.166439i | ||||
\(310\) | −26.5951 | − | 10.2089i | −1.51050 | − | 0.579826i | ||||
\(311\) | −7.93917 | − | 2.57959i | −0.450189 | − | 0.146275i | 0.0751426 | − | 0.997173i | \(-0.476059\pi\) |
−0.525332 | + | 0.850897i | \(0.676059\pi\) | |||||||
\(312\) | 4.97480 | − | 9.52080i | 0.281642 | − | 0.539009i | ||||
\(313\) | 20.9023 | − | 15.1864i | 1.18147 | − | 0.858385i | 0.189130 | − | 0.981952i | \(-0.439433\pi\) |
0.992336 | + | 0.123567i | \(0.0394333\pi\) | |||||||
\(314\) | −2.93370 | − | 2.37566i | −0.165558 | − | 0.134067i | ||||
\(315\) | 1.42833 | − | 6.71975i | 0.0804772 | − | 0.378615i | ||||
\(316\) | −2.54340 | + | 0.540617i | −0.143078 | + | 0.0304121i | ||||
\(317\) | 1.93194 | + | 12.1978i | 0.108509 | + | 0.685096i | 0.980639 | + | 0.195823i | \(0.0627378\pi\) |
−0.872131 | + | 0.489273i | \(0.837262\pi\) | |||||||
\(318\) | −3.42103 | − | 0.916663i | −0.191842 | − | 0.0514039i | ||||
\(319\) | −16.8988 | + | 12.0749i | −0.946153 | + | 0.676067i | ||||
\(320\) | 25.6608 | − | 25.6608i | 1.43448 | − | 1.43448i | ||||
\(321\) | −6.46914 | − | 0.679934i | −0.361072 | − | 0.0379502i | ||||
\(322\) | −7.20339 | + | 6.48596i | −0.401429 | + | 0.361448i | ||||
\(323\) | 14.3771 | − | 9.33659i | 0.799962 | − | 0.519502i | ||||
\(324\) | −0.150543 | − | 0.207205i | −0.00836350 | − | 0.0115114i | ||||
\(325\) | −18.3322 | + | 40.0633i | −1.01689 | + | 2.22231i | ||||
\(326\) | 24.5442 | − | 7.97490i | 1.35938 | − | 0.441689i | ||||
\(327\) | −6.12984 | − | 0.321251i | −0.338981 | − | 0.0177652i | ||||
\(328\) | 26.7470 | − | 11.9085i | 1.47685 | − | 0.657538i | ||||
\(329\) | 1.54215 | + | 2.67108i | 0.0850214 | + | 0.147261i | ||||
\(330\) | 15.6674 | + | 9.21136i | 0.862464 | + | 0.507069i | ||||
\(331\) | 1.69328 | − | 6.31941i | 0.0930711 | − | 0.347346i | −0.903649 | − | 0.428274i | \(-0.859122\pi\) |
0.996720 | + | 0.0809281i | \(0.0257884\pi\) | |||||||
\(332\) | 1.35508 | − | 1.09732i | 0.0743697 | − | 0.0602234i | ||||
\(333\) | 3.59940 | + | 7.06422i | 0.197246 | + | 0.387117i | ||||
\(334\) | 13.2924 | − | 14.7627i | 0.727327 | − | 0.807778i | ||||
\(335\) | 25.0509 | − | 2.63295i | 1.36867 | − | 0.143853i | ||||
\(336\) | −3.56542 | + | 4.40292i | −0.194509 | + | 0.240199i | ||||
\(337\) | −4.32348 | − | 13.3063i | −0.235515 | − | 0.724840i | −0.997053 | − | 0.0767196i | \(-0.975555\pi\) |
0.761538 | − | 0.648120i | \(-0.224445\pi\) | |||||||
\(338\) | 9.64346 | − | 14.2028i | 0.524535 | − | 0.772531i | ||||
\(339\) | 11.7302 | + | 8.52251i | 0.637098 | + | 0.462879i | ||||
\(340\) | 1.13405 | + | 4.23233i | 0.0615024 | + | 0.229530i | ||||
\(341\) | 9.50434 | − | 14.3854i | 0.514689 | − | 0.779011i | ||||
\(342\) | −4.75539 | + | 2.74553i | −0.257142 | + | 0.148461i | ||||
\(343\) | 18.4105 | − | 2.91594i | 0.994074 | − | 0.157446i | ||||
\(344\) | −16.8591 | − | 10.9484i | −0.908981 | − | 0.590299i | ||||
\(345\) | −0.962895 | − | 18.3731i | −0.0518405 | − | 0.989176i | ||||
\(346\) | −0.444761 | + | 2.80811i | −0.0239105 | + | 0.150965i | ||||
\(347\) | −0.708410 | + | 1.59111i | −0.0380294 | + | 0.0854155i | −0.931561 | − | 0.363584i | \(-0.881553\pi\) |
0.893532 | + | 0.449000i | \(0.148220\pi\) | |||||||
\(348\) | 1.56884 | + | 0.333466i | 0.0840984 | + | 0.0178757i | ||||
\(349\) | 0.307568 | − | 5.86875i | 0.0164638 | − | 0.314147i | −0.977967 | − | 0.208758i | \(-0.933058\pi\) |
0.994431 | − | 0.105389i | \(-0.0336088\pi\) | |||||||
\(350\) | 15.7026 | − | 21.6128i | 0.839339 | − | 1.15525i | ||||
\(351\) | −1.77064 | − | 3.14083i | −0.0945098 | − | 0.167645i | ||||
\(352\) | 2.56857 | + | 4.02448i | 0.136905 | + | 0.214506i | ||||
\(353\) | −29.2644 | + | 7.84137i | −1.55759 | + | 0.417354i | −0.931898 | − | 0.362720i | \(-0.881848\pi\) |
−0.625688 | + | 0.780074i | \(0.715182\pi\) | |||||||
\(354\) | 1.54575 | + | 3.47181i | 0.0821557 | + | 0.184525i | ||||
\(355\) | −8.43250 | − | 39.6718i | −0.447551 | − | 2.10556i | ||||
\(356\) | −0.585291 | + | 1.14870i | −0.0310204 | + | 0.0608809i | ||||
\(357\) | −2.44596 | − | 6.37194i | −0.129454 | − | 0.337239i | ||||
\(358\) | 7.81115 | + | 20.3487i | 0.412832 | + | 1.07546i | ||||
\(359\) | −5.62111 | + | 11.0320i | −0.296671 | + | 0.582249i | −0.990439 | − | 0.137949i | \(-0.955949\pi\) |
0.693769 | + | 0.720198i | \(0.255949\pi\) | |||||||
\(360\) | −2.57046 | − | 12.0931i | −0.135475 | − | 0.637360i | ||||
\(361\) | 0.695535 | + | 1.56220i | 0.0366071 | + | 0.0822209i | ||||
\(362\) | 6.49034 | − | 1.73908i | 0.341124 | − | 0.0914040i | ||||
\(363\) | −7.48865 | + | 8.05730i | −0.393052 | + | 0.422899i | ||||
\(364\) | 1.09206 | − | 1.06988i | 0.0572396 | − | 0.0560768i | ||||
\(365\) | 27.5744 | − | 37.9529i | 1.44331 | − | 1.98655i | ||||
\(366\) | −0.421352 | + | 8.03988i | −0.0220244 | + | 0.420251i | ||||
\(367\) | −36.8940 | − | 7.84207i | −1.92585 | − | 0.409353i | −0.999462 | − | 0.0327886i | \(-0.989561\pi\) |
−0.926391 | − | 0.376564i | \(-0.877105\pi\) | |||||||
\(368\) | −6.17137 | + | 13.8611i | −0.321705 | + | 0.722561i | ||||
\(369\) | 1.53729 | − | 9.70608i | 0.0800282 | − | 0.505278i | ||||
\(370\) | 2.27381 | + | 43.3868i | 0.118210 | + | 2.25557i | ||||
\(371\) | −3.72378 | − | 2.41825i | −0.193329 | − | 0.125549i | ||||
\(372\) | −1.31505 | + | 0.208283i | −0.0681821 | + | 0.0107990i | ||||
\(373\) | −3.91006 | + | 2.25747i | −0.202455 | + | 0.116887i | −0.597800 | − | 0.801645i | \(-0.703958\pi\) |
0.395345 | + | 0.918533i | \(0.370625\pi\) | |||||||
\(374\) | 18.0388 | − | 0.802558i | 0.932764 | − | 0.0414993i | ||||
\(375\) | 7.75390 | + | 28.9379i | 0.400410 | + | 1.49435i | ||||
\(376\) | 4.49052 | + | 3.26255i | 0.231581 | + | 0.168253i | ||||
\(377\) | 21.4011 | + | 7.19724i | 1.10221 | + | 0.370677i | ||||
\(378\) | 0.675583 | + | 2.07923i | 0.0347482 | + | 0.106944i | ||||
\(379\) | −4.98741 | + | 6.15894i | −0.256186 | + | 0.316364i | −0.888970 | − | 0.457965i | \(-0.848579\pi\) |
0.632784 | + | 0.774328i | \(0.281912\pi\) | |||||||
\(380\) | 4.39506 | − | 0.461939i | 0.225462 | − | 0.0236970i | ||||
\(381\) | −7.51264 | + | 8.34363i | −0.384884 | + | 0.427457i | ||||
\(382\) | −2.06732 | − | 4.05734i | −0.105773 | − | 0.207591i | ||||
\(383\) | −15.5107 | + | 12.5603i | −0.792558 | + | 0.641801i | −0.937636 | − | 0.347620i | \(-0.886990\pi\) |
0.145078 | + | 0.989420i | \(0.453657\pi\) | |||||||
\(384\) | −2.24388 | + | 8.37426i | −0.114507 | + | 0.427347i | ||||
\(385\) | 15.1118 | + | 17.0523i | 0.770168 | + | 0.869066i | ||||
\(386\) | −0.160446 | − | 0.277901i | −0.00816649 | − | 0.0141448i | ||||
\(387\) | −6.16386 | + | 2.74433i | −0.313326 | + | 0.139502i | ||||
\(388\) | −2.94575 | − | 0.154380i | −0.149548 | − | 0.00783747i | ||||
\(389\) | 3.98966 | − | 1.29632i | 0.202284 | − | 0.0657260i | −0.206123 | − | 0.978526i | \(-0.566085\pi\) |
0.408406 | + | 0.912800i | \(0.366085\pi\) | |||||||
\(390\) | −1.86353 | − | 19.6699i | −0.0943637 | − | 0.996022i | ||||
\(391\) | −10.7441 | − | 14.7879i | −0.543350 | − | 0.747858i | ||||
\(392\) | 10.6424 | − | 6.91128i | 0.537524 | − | 0.349072i | ||||
\(393\) | 4.91189 | − | 4.42269i | 0.247772 | − | 0.223095i | ||||
\(394\) | 34.6405 | + | 3.64086i | 1.74516 | + | 0.183424i | ||||
\(395\) | −29.7896 | + | 29.7896i | −1.49888 | + | 1.49888i | ||||
\(396\) | 0.849424 | + | 0.00670938i | 0.0426852 | + | 0.000337159i | ||||
\(397\) | 10.1903 | + | 2.73047i | 0.511435 | + | 0.137039i | 0.505302 | − | 0.862943i | \(-0.331381\pi\) |
0.00613298 | + | 0.999981i | \(0.498048\pi\) | |||||||
\(398\) | −0.524348 | − | 3.31060i | −0.0262832 | − | 0.165946i | ||||
\(399\) | −6.73347 | + | 1.43124i | −0.337095 | + | 0.0716518i | ||||
\(400\) | 8.69434 | − | 40.9036i | 0.434717 | − | 2.04518i | ||||
\(401\) | −21.4788 | − | 17.3932i | −1.07260 | − | 0.868576i | −0.0808476 | − | 0.996726i | \(-0.525763\pi\) |
−0.991755 | + | 0.128150i | \(0.959096\pi\) | |||||||
\(402\) | −6.48504 | + | 4.71166i | −0.323445 | + | 0.234996i | ||||
\(403\) | −18.7269 | + | 0.788848i | −0.932855 | + | 0.0392953i | ||||
\(404\) | 1.96891 | + | 0.639736i | 0.0979567 | + | 0.0318281i | ||||
\(405\) | −3.87403 | − | 1.48710i | −0.192502 | − | 0.0738947i | ||||
\(406\) | −11.8565 | − | 6.84537i | −0.588430 | − | 0.339730i | ||||
\(407\) | −25.9384 | − | 4.31852i | −1.28572 | − | 0.214061i | ||||
\(408\) | −8.68536 | − | 8.68536i | −0.429989 | − | 0.429989i | ||||
\(409\) | −3.67161 | − | 4.53406i | −0.181550 | − | 0.224195i | 0.678244 | − | 0.734837i | \(-0.262741\pi\) |
−0.859794 | + | 0.510642i | \(0.829408\pi\) | |||||||
\(410\) | 29.3293 | − | 45.1632i | 1.44847 | − | 2.23045i | ||||
\(411\) | −19.4042 | − | 9.88693i | −0.957138 | − | 0.487686i | ||||
\(412\) | 1.36910 | + | 0.609563i | 0.0674508 | + | 0.0300310i | ||||
\(413\) | 0.498012 | + | 4.73827i | 0.0245056 | + | 0.233155i | ||||
\(414\) | 3.18885 | + | 4.91040i | 0.156724 | + | 0.241333i | ||||
\(415\) | 8.73000 | − | 26.8682i | 0.428539 | − | 1.31891i | ||||
\(416\) | 1.90963 | − | 4.82615i | 0.0936273 | − | 0.236621i | ||||
\(417\) | 3.53843i | 0.173278i | ||||||||
\(418\) | 2.04664 | − | 18.0964i | 0.100105 | − | 0.885123i | ||||
\(419\) | 5.14148 | − | 8.90531i | 0.251178 | − | 0.435053i | −0.712673 | − | 0.701497i | \(-0.752515\pi\) |
0.963850 | + | 0.266444i | \(0.0858488\pi\) | |||||||
\(420\) | 0.183919 | − | 1.74987i | 0.00897430 | − | 0.0853848i | ||||
\(421\) | 0.273168 | − | 0.139186i | 0.0133134 | − | 0.00678351i | −0.447321 | − | 0.894373i | \(-0.647622\pi\) |
0.460635 | + | 0.887590i | \(0.347622\pi\) | |||||||
\(422\) | −21.0688 | + | 1.10417i | −1.02561 | + | 0.0537501i | ||||
\(423\) | 1.73928 | − | 0.667648i | 0.0845668 | − | 0.0324622i | ||||
\(424\) | −7.89215 | − | 1.24999i | −0.383277 | − | 0.0607051i | ||||
\(425\) | 37.4380 | + | 33.7093i | 1.81601 | + | 1.63514i | ||||
\(426\) | 8.63645 | + | 9.59175i | 0.418437 | + | 0.464722i | ||||
\(427\) | −3.61704 | + | 9.42272i | −0.175041 | + | 0.455997i | ||||
\(428\) | −1.66600 | −0.0805290 | ||||||||
\(429\) | 11.8681 | + | 1.46573i | 0.572997 | + | 0.0707660i | ||||
\(430\) | −36.9736 | −1.78303 | ||||||||
\(431\) | −3.52700 | + | 9.18816i | −0.169890 | + | 0.442578i | −0.991920 | − | 0.126866i | \(-0.959508\pi\) |
0.822030 | + | 0.569444i | \(0.192841\pi\) | |||||||
\(432\) | 2.28988 | + | 2.54316i | 0.110172 | + | 0.122358i | ||||
\(433\) | 18.4551 | + | 16.6170i | 0.886894 | + | 0.798563i | 0.980392 | − | 0.197056i | \(-0.0631381\pi\) |
−0.0934978 | + | 0.995619i | \(0.529805\pi\) | |||||||
\(434\) | 11.2252 | + | 1.77790i | 0.538829 | + | 0.0853421i | ||||
\(435\) | 24.2602 | − | 9.31262i | 1.16319 | − | 0.446506i | ||||
\(436\) | −1.56997 | + | 0.0822785i | −0.0751878 | + | 0.00394043i | ||||
\(437\) | −16.4265 | + | 8.36972i | −0.785786 | + | 0.400378i | ||||
\(438\) | −1.56052 | + | 14.8474i | −0.0745645 | + | 0.709434i | ||||
\(439\) | −20.0687 | + | 34.7599i | −0.957825 | + | 1.65900i | −0.230058 | + | 0.973177i | \(0.573892\pi\) |
−0.727767 | + | 0.685825i | \(0.759442\pi\) | |||||||
\(440\) | 37.3263 | + | 16.9733i | 1.77946 | + | 0.809168i | ||||
\(441\) | − | 4.25921i | − | 0.202820i | ||||||
\(442\) | −12.1962 | − | 15.3811i | −0.580112 | − | 0.731602i | ||||
\(443\) | −12.2870 | + | 37.8155i | −0.583773 | + | 1.79667i | 0.0203675 | + | 0.999793i | \(0.493516\pi\) |
−0.604141 | + | 0.796877i | \(0.706484\pi\) | |||||||
\(444\) | 1.10595 | + | 1.70301i | 0.0524859 | + | 0.0808212i | ||||
\(445\) | 2.18338 | + | 20.7735i | 0.103502 | + | 0.984757i | ||||
\(446\) | −11.1761 | − | 4.97592i | −0.529204 | − | 0.235617i | ||||
\(447\) | 3.84930 | + | 1.96132i | 0.182066 | + | 0.0927672i | ||||
\(448\) | −7.88534 | + | 12.1424i | −0.372547 | + | 0.573673i | ||||
\(449\) | −11.7270 | − | 14.4816i | −0.553430 | − | 0.683430i | 0.421272 | − | 0.906934i | \(-0.361584\pi\) |
−0.974703 | + | 0.223504i | \(0.928250\pi\) | |||||||
\(450\) | −11.4104 | − | 11.4104i | −0.537890 | − | 0.537890i | ||||
\(451\) | 22.8638 | + | 23.2278i | 1.07661 | + | 1.09376i | ||||
\(452\) | 3.21604 | + | 1.85678i | 0.151270 | + | 0.0873356i | ||||
\(453\) | 15.4057 | + | 5.91368i | 0.723821 | + | 0.277849i | ||||
\(454\) | −3.76927 | − | 1.22471i | −0.176901 | − | 0.0574785i | ||||
\(455\) | 5.39824 | − | 24.1743i | 0.253074 | − | 1.13331i | ||||
\(456\) | −10.0225 | + | 7.28176i | −0.469346 | + | 0.340999i | ||||
\(457\) | 1.65422 | + | 1.33956i | 0.0773812 | + | 0.0626620i | 0.667231 | − | 0.744851i | \(-0.267480\pi\) |
−0.589849 | + | 0.807513i | \(0.700813\pi\) | |||||||
\(458\) | 7.18324 | − | 33.7945i | 0.335651 | − | 1.57911i | ||||
\(459\) | −4.03262 | + | 0.857159i | −0.188226 | + | 0.0400087i | ||||
\(460\) | −0.737145 | − | 4.65415i | −0.0343696 | − | 0.217001i | ||||
\(461\) | 10.6740 | + | 2.86008i | 0.497136 | + | 0.133207i | 0.498671 | − | 0.866792i | \(-0.333822\pi\) |
−0.00153440 | + | 0.999999i | \(0.500488\pi\) | |||||||
\(462\) | −6.87811 | − | 2.29505i | −0.319999 | − | 0.106775i | ||||
\(463\) | 27.0991 | − | 27.0991i | 1.25940 | − | 1.25940i | 0.308021 | − | 0.951380i | \(-0.400333\pi\) |
0.951380 | − | 0.308021i | \(-0.0996666\pi\) | |||||||
\(464\) | −21.3131 | − | 2.24010i | −0.989435 | − | 0.103994i | ||||
\(465\) | −16.0312 | + | 14.4345i | −0.743427 | + | 0.669384i | ||||
\(466\) | −23.0857 | + | 14.9920i | −1.06942 | + | 0.694492i | ||||
\(467\) | −4.14266 | − | 5.70188i | −0.191699 | − | 0.263852i | 0.702338 | − | 0.711843i | \(-0.252139\pi\) |
−0.894038 | + | 0.447992i | \(0.852139\pi\) | |||||||
\(468\) | −0.535096 | − | 0.752617i | −0.0247348 | − | 0.0347897i | ||||
\(469\) | −9.55742 | + | 3.10539i | −0.441321 | + | 0.143394i | ||||
\(470\) | 10.1951 | + | 0.534304i | 0.470266 | + | 0.0246456i | ||||
\(471\) | −2.61147 | + | 1.16270i | −0.120330 | + | 0.0535745i | ||||
\(472\) | 4.28705 | + | 7.42538i | 0.197327 | + | 0.341781i | ||||
\(473\) | 4.82536 | − | 21.8514i | 0.221870 | − | 1.00473i | ||||
\(474\) | 3.46995 | − | 12.9500i | 0.159380 | − | 0.594815i | ||||
\(475\) | 39.4872 | − | 31.9761i | 1.81180 | − | 1.46716i | ||||
\(476\) | −0.793613 | − | 1.55755i | −0.0363752 | − | 0.0713903i | ||||
\(477\) | −1.79459 | + | 1.99310i | −0.0821688 | + | 0.0912577i | ||||
\(478\) | −18.2604 | + | 1.91924i | −0.835211 | + | 0.0877842i | ||||
\(479\) | −6.57112 | + | 8.11465i | −0.300242 | + | 0.370768i | −0.904832 | − | 0.425769i | \(-0.860004\pi\) |
0.604590 | + | 0.796537i | \(0.293337\pi\) | |||||||
\(480\) | −1.84590 | − | 5.68109i | −0.0842533 | − | 0.259305i | ||||
\(481\) | 12.7158 | + | 25.6022i | 0.579790 | + | 1.16736i | ||||
\(482\) | −13.5674 | − | 9.85730i | −0.617979 | − | 0.448988i | ||||
\(483\) | 1.89977 | + | 7.09004i | 0.0864426 | + | 0.322608i | ||||
\(484\) | −1.69177 | + | 2.25281i | −0.0768987 | + | 0.102400i | ||||
\(485\) | −41.3896 | + | 23.8963i | −1.87941 | + | 1.08508i | ||||
\(486\) | 1.30430 | − | 0.206581i | 0.0591644 | − | 0.00937071i | ||||
\(487\) | 11.1984 | + | 7.27231i | 0.507447 | + | 0.329540i | 0.772841 | − | 0.634600i | \(-0.218835\pi\) |
−0.265394 | + | 0.964140i | \(0.585502\pi\) | |||||||
\(488\) | 0.950621 | + | 18.1389i | 0.0430326 | + | 0.821111i | ||||
\(489\) | 3.05715 | − | 19.3021i | 0.138249 | − | 0.872871i | ||||
\(490\) | 9.49320 | − | 21.3221i | 0.428859 | − | 0.963233i | ||||
\(491\) | −16.0544 | − | 3.41246i | −0.724523 | − | 0.154002i | −0.169134 | − | 0.985593i | \(-0.554097\pi\) |
−0.555389 | + | 0.831591i | \(0.687431\pi\) | |||||||
\(492\) | 0.131724 | − | 2.51345i | 0.00593859 | − | 0.113315i | ||||
\(493\) | 15.1751 | − | 20.8868i | 0.683453 | − | 0.940693i | ||||
\(494\) | −17.2465 | + | 9.72268i | −0.775955 | + | 0.437444i | ||||
\(495\) | 11.6013 | − | 7.40437i | 0.521441 | − | 0.332802i | ||||
\(496\) | 17.1840 | − | 4.60444i | 0.771585 | − | 0.206746i | ||||
\(497\) | 6.58138 | + | 14.7820i | 0.295215 | + | 0.663064i | ||||
\(498\) | 1.86921 | + | 8.79394i | 0.0837613 | + | 0.394066i | ||||
\(499\) | −7.10224 | + | 13.9389i | −0.317940 | + | 0.623992i | −0.993566 | − | 0.113252i | \(-0.963873\pi\) |
0.675626 | + | 0.737244i | \(0.263873\pi\) | |||||||
\(500\) | 2.74976 | + | 7.16337i | 0.122973 | + | 0.320356i | ||||
\(501\) | −5.39092 | − | 14.0438i | −0.240848 | − | 0.627432i | ||||
\(502\) | 8.30243 | − | 16.2944i | 0.370556 | − | 0.727256i | ||||
\(503\) | −6.52353 | − | 30.6908i | −0.290870 | − | 1.36843i | −0.844448 | − | 0.535637i | \(-0.820071\pi\) |
0.553578 | − | 0.832797i | \(-0.313262\pi\) | |||||||
\(504\) | 2.00619 | + | 4.50597i | 0.0893627 | + | 0.200712i | ||||
\(505\) | 32.3990 | − | 8.68129i | 1.44174 | − | 0.386312i | ||||
\(506\) | −19.3835 | − | 1.16944i | −0.861703 | − | 0.0519879i | ||||
\(507\) | −6.26760 | − | 11.3893i | −0.278354 | − | 0.505819i | ||||
\(508\) | −1.69022 | + | 2.32638i | −0.0749912 | + | 0.103217i | ||||
\(509\) | 0.0539061 | − | 1.02859i | 0.00238934 | − | 0.0455914i | −0.997175 | − | 0.0751180i | \(-0.976067\pi\) |
0.999564 | + | 0.0295266i | \(0.00939998\pi\) | |||||||
\(510\) | −22.0982 | − | 4.69711i | −0.978524 | − | 0.207992i | ||||
\(511\) | −7.61250 | + | 17.0980i | −0.336757 | + | 0.756369i | ||||
\(512\) | −3.96058 | + | 25.0061i | −0.175035 | + | 1.10513i | ||||
\(513\) | 0.217619 | + | 4.15242i | 0.00960812 | + | 0.183334i | ||||
\(514\) | −29.7440 | − | 19.3160i | −1.31195 | − | 0.851992i | ||||
\(515\) | 23.9825 | − | 3.79846i | 1.05680 | − | 0.167380i | ||||
\(516\) | −1.49656 | + | 0.864041i | −0.0658825 | + | 0.0380373i | ||||
\(517\) | −1.64632 | + | 5.95559i | −0.0724052 | + | 0.261927i | ||||
\(518\) | −4.48617 | − | 16.7426i | −0.197111 | − | 0.735628i | ||||
\(519\) | 1.74178 | + | 1.26548i | 0.0764556 | + | 0.0555483i | ||||
\(520\) | −8.82004 | − | 43.6950i | −0.386784 | − | 1.91615i | ||||
\(521\) | −2.12234 | − | 6.53190i | −0.0929816 | − | 0.286168i | 0.893741 | − | 0.448584i | \(-0.148071\pi\) |
−0.986722 | + | 0.162416i | \(0.948071\pi\) | |||||||
\(522\) | −5.20429 | + | 6.42676i | −0.227786 | + | 0.281292i | ||||
\(523\) | 12.8118 | − | 1.34658i | 0.560222 | − | 0.0588817i | 0.179814 | − | 0.983701i | \(-0.442450\pi\) |
0.380408 | + | 0.924819i | \(0.375784\pi\) | |||||||
\(524\) | 1.13273 | − | 1.25803i | 0.0494837 | − | 0.0549572i | ||||
\(525\) | −9.18419 | − | 18.0250i | −0.400831 | − | 0.786675i | ||||
\(526\) | −15.8120 | + | 12.8043i | −0.689434 | + | 0.558293i | ||||
\(527\) | −5.54700 | + | 20.7017i | −0.241631 | + | 0.901780i | ||||
\(528\) | −11.2969 | + | 1.09721i | −0.491634 | + | 0.0477498i | ||||
\(529\) | −1.67111 | − | 2.89444i | −0.0726568 | − | 0.125845i | ||||
\(530\) | −13.4263 | + | 5.97776i | −0.583200 | + | 0.259657i | ||||
\(531\) | 2.87390 | + | 0.150615i | 0.124717 | + | 0.00653613i | ||||
\(532\) | −1.67681 | + | 0.544827i | −0.0726988 | + | 0.0236213i | ||||
\(533\) | 5.90158 | − | 34.9370i | 0.255626 | − | 1.51329i | ||||
\(534\) | −3.90715 | − | 5.37773i | −0.169079 | − | 0.232717i | ||||
\(535\) | −22.6378 | + | 14.7012i | −0.978719 | + | 0.635588i | ||||
\(536\) | −13.4397 | + | 12.1012i | −0.580508 | + | 0.522692i | ||||
\(537\) | 16.4150 | + | 1.72529i | 0.708361 | + | 0.0744517i | ||||
\(538\) | 26.5480 | − | 26.5480i | 1.14456 | − | 1.14456i | ||||
\(539\) | 11.3624 | + | 8.39319i | 0.489414 | + | 0.361520i | ||||
\(540\) | −1.02659 | − | 0.275074i | −0.0441774 | − | 0.0118373i | ||||
\(541\) | −1.48350 | − | 9.36643i | −0.0637805 | − | 0.402694i | −0.998838 | − | 0.0481977i | \(-0.984652\pi\) |
0.935057 | − | 0.354497i | \(-0.115348\pi\) | |||||||
\(542\) | 15.6188 | − | 3.31987i | 0.670883 | − | 0.142601i | ||||
\(543\) | 1.05790 | − | 4.97702i | 0.0453988 | − | 0.213584i | ||||
\(544\) | −4.61210 | − | 3.73481i | −0.197742 | − | 0.160129i | ||||
\(545\) | −20.6069 | + | 14.9718i | −0.882705 | + | 0.641322i | ||||
\(546\) | 2.35880 | + | 7.52137i | 0.100947 | + | 0.321885i | ||||
\(547\) | −13.1153 | − | 4.26141i | −0.560769 | − | 0.182205i | 0.0148984 | − | 0.999889i | \(-0.495258\pi\) |
−0.575667 | + | 0.817684i | \(0.695258\pi\) | |||||||
\(548\) | −5.20725 | − | 1.99887i | −0.222443 | − | 0.0853877i | ||||
\(549\) | 5.27980 | + | 3.04829i | 0.225336 | + | 0.130098i | ||||
\(550\) | 52.9250 | − | 7.95450i | 2.25673 | − | 0.339181i | ||||
\(551\) | −18.4125 | − | 18.4125i | −0.784400 | − | 0.784400i | ||||
\(552\) | 8.31303 | + | 10.2657i | 0.353826 | + | 0.436939i | ||||
\(553\) | 9.15409 | − | 14.0961i | 0.389271 | − | 0.599425i | ||||
\(554\) | −5.56170 | − | 2.83383i | −0.236294 | − | 0.120398i | ||||
\(555\) | 30.0556 | + | 13.3816i | 1.27579 | + | 0.568017i | ||||
\(556\) | 0.0947298 | + | 0.901294i | 0.00401744 | + | 0.0382234i | ||||
\(557\) | −6.32833 | − | 9.74477i | −0.268140 | − | 0.412899i | 0.678793 | − | 0.734329i | \(-0.262503\pi\) |
−0.946933 | + | 0.321430i | \(0.895836\pi\) | |||||||
\(558\) | 2.12139 | − | 6.52897i | 0.0898056 | − | 0.276393i | ||||
\(559\) | −22.3245 | + | 9.66625i | −0.944224 | + | 0.408839i | ||||
\(560\) | 23.5099i | 0.993473i | ||||||||
\(561\) | 5.65999 | − | 12.4470i | 0.238965 | − | 0.525514i | ||||
\(562\) | 6.19716 | − | 10.7338i | 0.261412 | − | 0.452778i | ||||
\(563\) | −2.33482 | + | 22.2143i | −0.0984008 | + | 0.936221i | 0.828265 | + | 0.560336i | \(0.189328\pi\) |
−0.926666 | + | 0.375885i | \(0.877339\pi\) | |||||||
\(564\) | 0.425149 | − | 0.216624i | 0.0179020 | − | 0.00912153i | ||||
\(565\) | 60.0848 | − | 3.14891i | 2.52779 | − | 0.132476i | ||||
\(566\) | 3.76133 | − | 1.44384i | 0.158101 | − | 0.0606892i | ||||
\(567\) | 1.63515 | + | 0.258982i | 0.0686698 | + | 0.0108762i | ||||
\(568\) | 21.6401 | + | 19.4849i | 0.908000 | + | 0.817567i | ||||
\(569\) | −12.9710 | − | 14.4057i | −0.543772 | − | 0.603920i | 0.407146 | − | 0.913363i | \(-0.366524\pi\) |
−0.950918 | + | 0.309443i | \(0.899857\pi\) | |||||||
\(570\) | −8.16575 | + | 21.2725i | −0.342026 | + | 0.891007i | ||||
\(571\) | −14.6547 | −0.613279 | −0.306640 | − | 0.951826i | \(-0.599205\pi\) | ||||
−0.306640 | + | 0.951826i | \(0.599205\pi\) | |||||||
\(572\) | 3.06223 | + | 0.0556152i | 0.128038 | + | 0.00232539i | ||||
\(573\) | −3.44827 | −0.144054 | ||||||||
\(574\) | −7.69926 | + | 20.0573i | −0.321361 | + | 0.837174i | ||||
\(575\) | −36.2522 | − | 40.2622i | −1.51182 | − | 1.67905i | ||||
\(576\) | 6.49902 | + | 5.85174i | 0.270792 | + | 0.243822i | ||||
\(577\) | 5.76691 | + | 0.913389i | 0.240080 | + | 0.0380249i | 0.275315 | − | 0.961354i | \(-0.411218\pi\) |
−0.0352349 | + | 0.999379i | \(0.511218\pi\) | |||||||
\(578\) | 0.00406012 | − | 0.00155853i | 0.000168879 | − | 6.48265e-5i | ||||
\(579\) | −0.242664 | + | 0.0127175i | −0.0100848 | + | 0.000528520i | ||||
\(580\) | 5.93014 | − | 3.02156i | 0.246236 | − | 0.125463i | ||||
\(581\) | −1.17813 | + | 11.2091i | −0.0488770 | + | 0.465034i | ||||
\(582\) | 7.60463 | − | 13.1716i | 0.315222 | − | 0.545981i | ||||
\(583\) | −1.78062 | − | 8.71507i | −0.0737457 | − | 0.360941i | ||||
\(584\) | 33.6819i | 1.39377i | ||||||||
\(585\) | −13.9123 | − | 5.50486i | −0.575201 | − | 0.227598i | ||||
\(586\) | −4.61705 | + | 14.2098i | −0.190729 | + | 0.587002i | ||||
\(587\) | 23.9275 | + | 36.8451i | 0.987594 | + | 1.52076i | 0.847618 | + | 0.530607i | \(0.178036\pi\) |
0.139976 | + | 0.990155i | \(0.455297\pi\) | |||||||
\(588\) | −0.114027 | − | 1.08489i | −0.00470237 | − | 0.0447401i | ||||
\(589\) | 19.7473 | + | 8.79205i | 0.813672 | + | 0.362270i | ||||
\(590\) | 14.0514 | + | 7.15953i | 0.578486 | + | 0.294753i | ||||
\(591\) | 14.3655 | − | 22.1209i | 0.590917 | − | 0.909932i | ||||
\(592\) | −17.0748 | − | 21.0856i | −0.701771 | − | 0.866615i | ||||
\(593\) | 29.5383 | + | 29.5383i | 1.21299 | + | 1.21299i | 0.970038 | + | 0.242954i | \(0.0781163\pi\) |
0.242954 | + | 0.970038i | \(0.421884\pi\) | |||||||
\(594\) | −2.01915 | + | 3.88661i | −0.0828468 | + | 0.159469i | ||||
\(595\) | −24.5280 | − | 14.1612i | −1.00555 | − | 0.580554i | ||||
\(596\) | 1.03299 | + | 0.396527i | 0.0423128 | + | 0.0162424i | ||||
\(597\) | −2.41399 | − | 0.784352i | −0.0987979 | − | 0.0321014i | ||||
\(598\) | 11.3153 | + | 17.8218i | 0.462717 | + | 0.728786i | ||||
\(599\) | 6.67841 | − | 4.85215i | 0.272872 | − | 0.198253i | −0.442930 | − | 0.896556i | \(-0.646061\pi\) |
0.715803 | + | 0.698303i | \(0.246061\pi\) | |||||||
\(600\) | −28.2930 | − | 22.9113i | −1.15506 | − | 0.935348i | ||||
\(601\) | −2.40352 | + | 11.3077i | −0.0980417 | + | 0.461250i | 0.901550 | + | 0.432675i | \(0.142430\pi\) |
−0.999592 | + | 0.0285750i | \(0.990903\pi\) | |||||||
\(602\) | 14.4286 | − | 3.06688i | 0.588064 | − | 0.124997i | ||||
\(603\) | 0.949575 | + | 5.99538i | 0.0386697 | + | 0.244151i | ||||
\(604\) | 4.08239 | + | 1.09387i | 0.166110 | + | 0.0445090i | ||||
\(605\) | −3.10870 | + | 45.5402i | −0.126387 | + | 1.85147i | ||||
\(606\) | −7.54779 | + | 7.54779i | −0.306608 | + | 0.306608i | ||||
\(607\) | −41.7133 | − | 4.38425i | −1.69309 | − | 0.177951i | −0.791687 | − | 0.610927i | \(-0.790797\pi\) |
−0.901406 | + | 0.432976i | \(0.857464\pi\) | |||||||
\(608\) | −4.44820 | + | 4.00518i | −0.180398 | + | 0.162431i | ||||
\(609\) | −8.69481 | + | 5.64648i | −0.352332 | + | 0.228807i | ||||
\(610\) | 19.6370 | + | 27.0280i | 0.795079 | + | 1.09433i | ||||
\(611\) | 6.29544 | − | 2.34277i | 0.254686 | − | 0.0947782i | ||||
\(612\) | −1.00422 | + | 0.326292i | −0.0405933 | + | 0.0131896i | ||||
\(613\) | −33.9290 | − | 1.77814i | −1.37038 | − | 0.0718184i | −0.647115 | − | 0.762392i | \(-0.724025\pi\) |
−0.723262 | + | 0.690574i | \(0.757358\pi\) | |||||||
\(614\) | 3.40567 | − | 1.51630i | 0.137442 | − | 0.0611930i | ||||
\(615\) | −20.3894 | − | 35.3155i | −0.822181 | − | 1.42406i | ||||
\(616\) | −15.9741 | − | 3.52749i | −0.643613 | − | 0.142127i | ||||
\(617\) | −5.21789 | + | 19.4734i | −0.210064 | + | 0.783970i | 0.777782 | + | 0.628534i | \(0.216345\pi\) |
−0.987846 | + | 0.155436i | \(0.950322\pi\) | |||||||
\(618\) | −6.00516 | + | 4.86288i | −0.241563 | + | 0.195614i | ||||
\(619\) | 2.92997 | + | 5.75040i | 0.117766 | + | 0.231128i | 0.942363 | − | 0.334592i | \(-0.108598\pi\) |
−0.824598 | + | 0.565720i | \(0.808598\pi\) | |||||||
\(620\) | −3.69695 | + | 4.10588i | −0.148473 | + | 0.164896i | ||||
\(621\) | 4.40942 | − | 0.463449i | 0.176944 | − | 0.0185976i | ||||
\(622\) | 6.93744 | − | 8.56702i | 0.278166 | − | 0.343506i | ||||
\(623\) | −2.57515 | − | 7.92551i | −0.103171 | − | 0.317529i | ||||
\(624\) | 8.16174 | + | 9.25374i | 0.326731 | + | 0.370446i | ||||
\(625\) | 51.1464 | + | 37.1600i | 2.04586 | + | 1.48640i | ||||
\(626\) | 8.83060 | + | 32.9563i | 0.352942 | + | 1.31720i | ||||
\(627\) | −11.5064 | − | 7.60220i | −0.459520 | − | 0.303602i | ||||
\(628\) | −0.634056 | + | 0.366072i | −0.0253016 | + | 0.0146079i | ||||
\(629\) | 32.2839 | − | 5.11326i | 1.28724 | − | 0.203879i | ||||
\(630\) | 7.60850 | + | 4.94102i | 0.303130 | + | 0.196855i | ||||
\(631\) | −0.574850 | − | 10.9688i | −0.0228844 | − | 0.436661i | −0.985913 | − | 0.167261i | \(-0.946508\pi\) |
0.963028 | − | 0.269400i | \(-0.0868255\pi\) | |||||||
\(632\) | 4.73175 | − | 29.8751i | 0.188219 | − | 1.18837i | ||||
\(633\) | −6.49816 | + | 14.5951i | −0.258279 | + | 0.580103i | ||||
\(634\) | −15.9523 | − | 3.39077i | −0.633548 | − | 0.134665i | ||||
\(635\) | −2.43833 | + | 46.5262i | −0.0967623 | + | 1.84634i | ||||
\(636\) | −0.403753 | + | 0.555718i | −0.0160098 | + | 0.0220357i | ||||
\(637\) | 0.157574 | − | 15.3560i | 0.00624333 | − | 0.608427i | ||||
\(638\) | −6.88928 | − | 26.5482i | −0.272749 | − | 1.05105i | ||||
\(639\) | 9.44082 | − | 2.52966i | 0.373473 | − | 0.100072i | ||||
\(640\) | 14.6328 | + | 32.8658i | 0.578412 | + | 1.29913i | ||||
\(641\) | 6.34185 | + | 29.8360i | 0.250488 | + | 1.17845i | 0.906003 | + | 0.423271i | \(0.139118\pi\) |
−0.655515 | + | 0.755182i | \(0.727549\pi\) | |||||||
\(642\) | 3.89976 | − | 7.65370i | 0.153911 | − | 0.302067i | ||||
\(643\) | −2.16853 | − | 5.64922i | −0.0855186 | − | 0.222784i | 0.884152 | − | 0.467200i | \(-0.154737\pi\) |
−0.969670 | + | 0.244416i | \(0.921404\pi\) | |||||||
\(644\) | 0.673715 | + | 1.75509i | 0.0265481 | + | 0.0691601i | ||||
\(645\) | −12.7110 | + | 24.9468i | −0.500496 | + | 0.982279i | ||||
\(646\) | 4.70670 | + | 22.1433i | 0.185183 | + | 0.871216i | ||||
\(647\) | 12.2152 | + | 27.4357i | 0.480227 | + | 1.07861i | 0.977485 | + | 0.211005i | \(0.0676737\pi\) |
−0.497258 | + | 0.867603i | \(0.665660\pi\) | |||||||
\(648\) | 2.87782 | − | 0.771111i | 0.113052 | − | 0.0302921i | ||||
\(649\) | −6.06510 | + | 7.36998i | −0.238076 | + | 0.289297i | ||||
\(650\) | −40.7164 | − | 41.5607i | −1.59703 | − | 1.63014i | ||||
\(651\) | 5.05867 | − | 6.96266i | 0.198265 | − | 0.272888i | ||||
\(652\) | 0.261955 | − | 4.99840i | 0.0102589 | − | 0.195752i | ||||
\(653\) | −22.5552 | − | 4.79426i | −0.882654 | − | 0.187614i | −0.255780 | − | 0.966735i | \(-0.582332\pi\) |
−0.626873 | + | 0.779121i | \(0.715666\pi\) | |||||||
\(654\) | 3.29698 | − | 7.40514i | 0.128922 | − | 0.289564i | ||||
\(655\) | 4.29061 | − | 27.0898i | 0.167648 | − | 1.05849i | ||||
\(656\) | 1.76005 | + | 33.5837i | 0.0687184 | + | 1.31122i | ||||
\(657\) | 9.48130 | + | 6.15723i | 0.369901 | + | 0.240216i | ||||
\(658\) | −4.02286 | + | 0.637158i | −0.156827 | + | 0.0248390i | ||||
\(659\) | 14.2671 | − | 8.23710i | 0.555766 | − | 0.320872i | −0.195678 | − | 0.980668i | \(-0.562691\pi\) |
0.751444 | + | 0.659796i | \(0.229358\pi\) | |||||||
\(660\) | 2.75682 | − | 2.19660i | 0.107309 | − | 0.0855025i | ||||
\(661\) | −0.813453 | − | 3.03585i | −0.0316396 | − | 0.118081i | 0.948300 | − | 0.317376i | \(-0.102802\pi\) |
−0.979940 | + | 0.199295i | \(0.936135\pi\) | |||||||
\(662\) | 6.98954 | + | 5.07820i | 0.271656 | + | 0.197370i | ||||
\(663\) | −14.5707 | + | 2.94118i | −0.565881 | + | 0.114226i | ||||
\(664\) | 6.26792 | + | 19.2907i | 0.243242 | + | 0.748623i | ||||
\(665\) | −17.9770 | + | 22.1998i | −0.697119 | + | 0.860870i | ||||
\(666\) | −10.4125 | + | 1.09440i | −0.403477 | + | 0.0424072i | ||||
\(667\) | −18.5784 | + | 20.6335i | −0.719360 | + | 0.798930i | ||||
\(668\) | −1.74913 | − | 3.43286i | −0.0676759 | − | 0.132821i | ||||
\(669\) | −7.19953 | + | 5.83007i | −0.278350 | + | 0.225403i | ||||
\(670\) | −8.60920 | + | 32.1300i | −0.332602 | + | 1.24129i | ||||
\(671\) | −18.5364 | + | 8.07810i | −0.715588 | + | 0.311851i | ||||
\(672\) | 1.19158 | + | 2.06387i | 0.0459660 | + | 0.0796155i | ||||
\(673\) | 18.7035 | − | 8.32732i | 0.720966 | − | 0.320995i | −0.0132489 | − | 0.999912i | \(-0.504217\pi\) |
0.734214 | + | 0.678918i | \(0.237551\pi\) | |||||||
\(674\) | 18.4507 | + | 0.966962i | 0.710696 | + | 0.0372460i | ||||
\(675\) | −11.6215 | + | 3.77606i | −0.447313 | + | 0.145341i | ||||
\(676\) | −1.90137 | − | 2.73325i | −0.0731297 | − | 0.105125i | ||||
\(677\) | −7.59319 | − | 10.4511i | −0.291830 | − | 0.401669i | 0.637778 | − | 0.770221i | \(-0.279854\pi\) |
−0.929607 | + | 0.368551i | \(0.879854\pi\) | |||||||
\(678\) | −16.0583 | + | 10.4284i | −0.616714 | + | 0.400499i | ||||
\(679\) | 14.1697 | − | 12.7585i | 0.543783 | − | 0.489625i | ||||
\(680\) | −50.6907 | − | 5.32781i | −1.94390 | − | 0.204312i | ||||
\(681\) | −2.12216 | + | 2.12216i | −0.0813213 | + | 0.0813213i | ||||
\(682\) | 13.2371 | + | 18.5252i | 0.506874 | + | 0.709368i | ||||
\(683\) | 26.0477 | + | 6.97947i | 0.996689 | + | 0.267062i | 0.720058 | − | 0.693914i | \(-0.244115\pi\) |
0.276631 | + | 0.960976i | \(0.410782\pi\) | |||||||
\(684\) | 0.166599 | + | 1.05186i | 0.00637006 | + | 0.0402190i | ||||
\(685\) | −88.3956 | + | 18.7891i | −3.37742 | + | 0.717893i | ||||
\(686\) | −5.11780 | + | 24.0773i | −0.195398 | + | 0.919277i | ||||
\(687\) | −20.3323 | − | 16.4647i | −0.775725 | − | 0.628169i | ||||
\(688\) | 18.6802 | − | 13.5719i | 0.712175 | − | 0.517425i | ||||
\(689\) | −6.54389 | + | 7.11944i | −0.249303 | + | 0.271229i | ||||
\(690\) | 23.1070 | + | 7.50792i | 0.879668 | + | 0.285822i | ||||
\(691\) | 22.8017 | + | 8.75276i | 0.867418 | + | 0.332971i | 0.751058 | − | 0.660237i | \(-0.229544\pi\) |
0.116360 | + | 0.993207i | \(0.462877\pi\) | |||||||
\(692\) | 0.477538 | + | 0.275707i | 0.0181533 | + | 0.0104808i | ||||
\(693\) | −3.91311 | + | 3.85178i | −0.148647 | + | 0.146317i | ||||
\(694\) | −1.62635 | − | 1.62635i | −0.0617355 | − | 0.0617355i | ||||
\(695\) | 9.24046 | + | 11.4110i | 0.350511 | + | 0.432845i | ||||
\(696\) | −10.1616 | + | 15.6474i | −0.385173 | + | 0.593114i | ||||
\(697\) | −36.0983 | − | 18.3930i | −1.36732 | − | 0.696685i | ||||
\(698\) | 7.08974 | + | 3.15655i | 0.268351 | + | 0.119477i | ||||
\(699\) | 2.17885 | + | 20.7304i | 0.0824117 | + | 0.784095i | ||||
\(700\) | −2.82192 | − | 4.34538i | −0.106659 | − | 0.164240i | ||||
\(701\) | −4.26228 | + | 13.1180i | −0.160984 | + | 0.495458i | −0.998718 | − | 0.0506205i | \(-0.983880\pi\) |
0.837734 | + | 0.546079i | \(0.183880\pi\) | |||||||
\(702\) | 4.71012 | − | 0.696546i | 0.177772 | − | 0.0262894i | ||||
\(703\) | − | 32.9671i | − | 1.24338i | ||||||
\(704\) | −28.4178 | + | 5.80617i | −1.07103 | + | 0.218828i | ||||
\(705\) | 3.86545 | − | 6.69515i | 0.145581 | − | 0.252154i | ||||
\(706\) | 4.18204 | − | 39.7895i | 0.157393 | − | 1.49750i | ||||
\(707\) | −11.9233 | + | 6.07521i | −0.448420 | + | 0.228482i | ||||
\(708\) | 0.736061 | − | 0.0385753i | 0.0276629 | − | 0.00144975i | ||||
\(709\) | 46.4277 | − | 17.8219i | 1.74363 | − | 0.669317i | 0.743631 | − | 0.668590i | \(-0.233102\pi\) |
1.00000 | 0.000726790i | \(-0.000231344\pi\) | ||||||||
\(710\) | 52.9000 | + | 8.37854i | 1.98530 | + | 0.314441i | ||||
\(711\) | −7.54470 | − | 6.79328i | −0.282948 | − | 0.254768i | ||||
\(712\) | −10.0349 | − | 11.1449i | −0.376075 | − | 0.417674i | ||||
\(713\) | 8.25993 | − | 21.5178i | 0.309337 | − | 0.805850i | ||||
\(714\) | 9.01319 | 0.337310 | ||||||||
\(715\) | 42.1009 | − | 26.2662i | 1.57448 | − | 0.982301i | ||||
\(716\) | 4.22736 | 0.157984 | ||||||||
\(717\) | −4.98272 | + | 12.9804i | −0.186083 | + | 0.484763i | ||||
\(718\) | −10.9407 | − | 12.1509i | −0.408303 | − | 0.453466i | ||||
\(719\) | −32.9970 | − | 29.7106i | −1.23058 | − | 1.10802i | −0.990535 | − | 0.137258i | \(-0.956171\pi\) |
−0.240045 | − | 0.970762i | \(-0.577162\pi\) | |||||||
\(720\) | 14.0259 | + | 2.22149i | 0.522716 | + | 0.0827901i | ||||
\(721\) | −9.04384 | + | 3.47160i | −0.336810 | + | 0.129289i | ||||
\(722\) | −2.25511 | + | 0.118186i | −0.0839267 | + | 0.00439841i | ||||
\(723\) | −11.3152 | + | 5.76538i | −0.420817 | + | 0.214417i | ||||
\(724\) | 0.136220 | − | 1.29605i | 0.00506258 | − | 0.0481673i | ||||
\(725\) | 38.2611 | − | 66.2702i | 1.42098 | − | 2.46121i | ||||
\(726\) | −6.38947 | − | 13.0455i | −0.237135 | − | 0.484163i | ||||
\(727\) | − | 51.3526i | − | 1.90456i | −0.305223 | − | 0.952281i | \(-0.598731\pi\) | ||
0.305223 | − | 0.952281i | \(-0.401269\pi\) | |||||||
\(728\) | 7.06632 | + | 16.3199i | 0.261895 | + | 0.604855i | ||||
\(729\) | 0.309017 | − | 0.951057i | 0.0114451 | − | 0.0352243i | ||||
\(730\) | 33.7408 | + | 51.9562i | 1.24880 | + | 1.92299i | ||||
\(731\) | 2.90763 | + | 27.6643i | 0.107543 | + | 1.02320i | ||||
\(732\) | 1.42646 | + | 0.635100i | 0.0527234 | + | 0.0234740i | ||||
\(733\) | 9.94164 | + | 5.06552i | 0.367203 | + | 0.187099i | 0.627849 | − | 0.778335i | \(-0.283936\pi\) |
−0.260646 | + | 0.965434i | \(0.583936\pi\) | |||||||
\(734\) | 27.1281 | − | 41.7736i | 1.00132 | − | 1.54189i | ||||
\(735\) | −11.1228 | − | 13.7355i | −0.410269 | − | 0.506640i | ||||
\(736\) | 4.51301 | + | 4.51301i | 0.166352 | + | 0.166352i | ||||
\(737\) | −17.8653 | − | 9.28127i | −0.658075 | − | 0.341880i | ||||
\(738\) | 11.2386 | + | 6.48862i | 0.413699 | + | 0.238849i | ||||
\(739\) | 32.5238 | + | 12.4847i | 1.19641 | + | 0.459258i | 0.873336 | − | 0.487117i | \(-0.161952\pi\) |
0.323070 | + | 0.946375i | \(0.395285\pi\) | |||||||
\(740\) | 8.01388 | + | 2.60387i | 0.294596 | + | 0.0957201i | ||||
\(741\) | 0.630972 | + | 14.9790i | 0.0231793 | + | 0.550268i | ||||
\(742\) | 4.74361 | − | 3.44643i | 0.174143 | − | 0.126523i | ||||
\(743\) | 12.2674 | + | 9.93396i | 0.450048 | + | 0.364442i | 0.827386 | − | 0.561634i | \(-0.189827\pi\) |
−0.377338 | + | 0.926076i | \(0.623160\pi\) | |||||||
\(744\) | 3.22017 | − | 15.1497i | 0.118057 | − | 0.555416i | ||||
\(745\) | 17.5355 | − | 3.72728i | 0.642449 | − | 0.136557i | ||||
\(746\) | −0.932703 | − | 5.88885i | −0.0341487 | − | 0.215606i | ||||
\(747\) | 6.57604 | + | 1.76204i | 0.240605 | + | 0.0644698i | ||||
\(748\) | 1.10846 | − | 3.32198i | 0.0405294 | − | 0.121464i | ||||
\(749\) | 7.61474 | − | 7.61474i | 0.278236 | − | 0.278236i | ||||
\(750\) | −39.3456 | − | 4.13539i | −1.43670 | − | 0.151003i | ||||
\(751\) | −0.500189 | + | 0.450372i | −0.0182522 | + | 0.0164343i | −0.678206 | − | 0.734872i | \(-0.737242\pi\) |
0.659954 | + | 0.751306i | \(0.270576\pi\) | |||||||
\(752\) | −5.34701 | + | 3.47239i | −0.194985 | + | 0.126625i | ||||
\(753\) | −8.13989 | − | 11.2036i | −0.296634 | − | 0.408282i | ||||
\(754\) | −19.0011 | + | 22.9783i | −0.691980 | + | 0.836819i | ||||
\(755\) | 65.1248 | − | 21.1603i | 2.37013 | − | 0.770103i | ||||
\(756\) | 0.423432 | + | 0.0221911i | 0.0154001 | + | 0.000807084i | ||||
\(757\) | 15.3328 | − | 6.82662i | 0.557282 | − | 0.248118i | −0.108714 | − | 0.994073i | \(-0.534673\pi\) |
0.665996 | + | 0.745955i | \(0.268007\pi\) | |||||||
\(758\) | −5.23277 | − | 9.06343i | −0.190063 | − | 0.329199i | ||||
\(759\) | −7.45283 | + | 12.6764i | −0.270521 | + | 0.460124i | ||||
\(760\) | −13.3053 | + | 49.6561i | −0.482634 | + | 1.80122i | ||||
\(761\) | 19.1470 | − | 15.5050i | 0.694079 | − | 0.562054i | −0.216048 | − | 0.976383i | \(-0.569317\pi\) |
0.910127 | + | 0.414329i | \(0.135984\pi\) | |||||||
\(762\) | −6.73111 | − | 13.2106i | −0.243842 | − | 0.478568i | ||||
\(763\) | 6.79975 | − | 7.55189i | 0.246168 | − | 0.273397i | ||||
\(764\) | −0.878331 | + | 0.0923163i | −0.0317769 | + | 0.00333989i | ||||
\(765\) | −10.7663 | + | 13.2952i | −0.389256 | + | 0.480691i | ||||
\(766\) | −8.14458 | − | 25.0664i | −0.294275 | − | 0.905687i | ||||
\(767\) | 10.3559 | + | 0.649345i | 0.373930 | + | 0.0234465i | ||||
\(768\) | 4.88788 | + | 3.55125i | 0.176376 | + | 0.128145i | ||||
\(769\) | −5.65884 | − | 21.1191i | −0.204063 | − | 0.761574i | −0.989733 | − | 0.142928i | \(-0.954348\pi\) |
0.785670 | − | 0.618646i | \(-0.212318\pi\) | |||||||
\(770\) | −28.1745 | + | 10.5606i | −1.01534 | + | 0.380579i | ||||
\(771\) | −23.2584 | + | 13.4283i | −0.837632 | + | 0.483607i | ||||
\(772\) | −0.0614699 | + | 0.00973588i | −0.00221235 | + | 0.000350402i | ||||
\(773\) | −20.6750 | − | 13.4265i | −0.743626 | − | 0.482917i | 0.116377 | − | 0.993205i | \(-0.462872\pi\) |
−0.860003 | + | 0.510288i | \(0.829539\pi\) | |||||||
\(774\) | −0.466317 | − | 8.89785i | −0.0167614 | − | 0.319827i | ||||
\(775\) | −9.93731 | + | 62.7417i | −0.356959 | + | 2.25375i | ||||
\(776\) | 13.9567 | − | 31.3473i | 0.501017 | − | 1.12530i | ||||
\(777\) | −12.8388 | − | 2.72898i | −0.460590 | − | 0.0979015i | ||||
\(778\) | −0.289927 | + | 5.53213i | −0.0103944 | + | 0.198336i | ||||
\(779\) | −24.0181 | + | 33.0581i | −0.860539 | + | 1.18443i | ||||
\(780\) | −3.69105 | − | 1.02972i | −0.132161 | − | 0.0368699i | ||||
\(781\) | −11.8556 | + | 30.1705i | −0.424227 | + | 1.07958i | ||||
\(782\) | 23.3159 | − | 6.24747i | 0.833774 | − | 0.223409i | ||||
\(783\) | 2.54709 | + | 5.72086i | 0.0910256 | + | 0.204447i | ||||
\(784\) | 3.03046 | + | 14.2572i | 0.108231 | + | 0.509186i | ||||
\(785\) | −5.38534 | + | 10.5693i | −0.192211 | + | 0.377235i | ||||
\(786\) | 3.12797 | + | 8.14864i | 0.111571 | + | 0.290653i | ||||
\(787\) | 18.0256 | + | 46.9583i | 0.642543 | + | 1.67388i | 0.734916 | + | 0.678158i | \(0.237222\pi\) |
−0.0923728 | + | 0.995724i | \(0.529445\pi\) | |||||||
\(788\) | 3.06690 | − | 6.01913i | 0.109254 | − | 0.214423i | ||||
\(789\) | 3.20334 | + | 15.0705i | 0.114042 | + | 0.536526i | ||||
\(790\) | −22.6283 | − | 50.8240i | −0.805079 | − | 1.80824i | ||||
\(791\) | −23.1862 | + | 6.21273i | −0.824407 | + | 0.220899i | ||||
\(792\) | −3.61392 | + | 9.19679i | −0.128415 | + | 0.326794i | ||||
\(793\) | 18.9228 | + | 11.1855i | 0.671969 | + | 0.397210i | ||||
\(794\) | −8.18877 | + | 11.2709i | −0.290609 | + | 0.399989i | ||||
\(795\) | −0.582461 | + | 11.1140i | −0.0206578 | + | 0.394173i | ||||
\(796\) | −0.635880 | − | 0.135160i | −0.0225382 | − | 0.00479063i | ||||
\(797\) | 14.1521 | − | 31.7861i | 0.501292 | − | 1.12592i | −0.468827 | − | 0.883290i | \(-0.655323\pi\) |
0.970119 | − | 0.242630i | \(-0.0780101\pi\) | |||||||
\(798\) | 1.42208 | − | 8.97869i | 0.0503413 | − | 0.317842i | ||||
\(799\) | −0.401977 | − | 7.67017i | −0.0142209 | − | 0.271351i | ||||
\(800\) | −14.7524 | − | 9.58031i | −0.521575 | − | 0.338715i | ||||
\(801\) | −4.97168 | + | 0.787437i | −0.175666 | + | 0.0278227i | ||||
\(802\) | 31.6080 | − | 18.2489i | 1.11612 | − | 0.644391i | ||||
\(803\) | −35.1096 | + | 13.1601i | −1.23899 | + | 0.464409i | ||||
\(804\) | 0.402379 | + | 1.50170i | 0.0141908 | + | 0.0529608i | ||||
\(805\) | 24.6419 | + | 17.9034i | 0.868512 | + | 0.631011i | ||||
\(806\) | 7.88993 | − | 23.4608i | 0.277911 | − | 0.826372i | ||||
\(807\) | −8.78558 | − | 27.0392i | −0.309267 | − | 0.951826i | ||||
\(808\) | −15.1555 | + | 18.7154i | −0.533167 | + | 0.658406i | ||||
\(809\) | 29.2189 | − | 3.07103i | 1.02728 | − | 0.107972i | 0.424133 | − | 0.905600i | \(-0.360579\pi\) |
0.603149 | + | 0.797628i | \(0.293912\pi\) | |||||||
\(810\) | 3.66675 | − | 4.07233i | 0.128836 | − | 0.143087i | ||||
\(811\) | −13.2440 | − | 25.9929i | −0.465060 | − | 0.912732i | −0.997790 | − | 0.0664469i | \(-0.978834\pi\) |
0.532730 | − | 0.846286i | \(-0.321166\pi\) | |||||||
\(812\) | −2.06354 | + | 1.67102i | −0.0724161 | + | 0.0586414i | ||||
\(813\) | 3.12953 | − | 11.6796i | 0.109758 | − | 0.409621i | ||||
\(814\) | 17.5993 | − | 29.9344i | 0.616856 | − | 1.04920i | ||||
\(815\) | −40.5477 | − | 70.2306i | −1.42032 | − | 2.46007i | ||||
\(816\) | 12.8888 | − | 5.73848i | 0.451199 | − | 0.200887i | ||||
\(817\) | 28.0171 | + | 1.46832i | 0.980195 | + | 0.0513699i | ||||
\(818\) | 7.32740 | − | 2.38082i | 0.256196 | − | 0.0832433i | ||||
\(819\) | 5.88572 | + | 0.994219i | 0.205664 | + | 0.0347408i | ||||
\(820\) | −6.13897 | − | 8.44957i | −0.214382 | − | 0.295072i | ||||
\(821\) | 22.3150 | − | 14.4915i | 0.778798 | − | 0.505757i | −0.0929744 | − | 0.995669i | \(-0.529637\pi\) |
0.871772 | + | 0.489911i | \(0.162971\pi\) | |||||||
\(822\) | 21.3721 | − | 19.2435i | 0.745436 | − | 0.671194i | ||||
\(823\) | 20.3810 | + | 2.14213i | 0.710438 | + | 0.0746701i | 0.452853 | − | 0.891585i | \(-0.350406\pi\) |
0.257586 | + | 0.966255i | \(0.417073\pi\) | |||||||
\(824\) | −12.3273 | + | 12.3273i | −0.429443 | + | 0.429443i | ||||
\(825\) | 12.8278 | − | 38.4441i | 0.446608 | − | 1.33845i | ||||
\(826\) | −6.07726 | − | 1.62840i | −0.211455 | − | 0.0566592i | ||||
\(827\) | 4.84233 | + | 30.5733i | 0.168384 | + | 1.06314i | 0.916636 | + | 0.399722i | \(0.130893\pi\) |
−0.748252 | + | 0.663414i | \(0.769107\pi\) | |||||||
\(828\) | 1.11074 | − | 0.236096i | 0.0386010 | − | 0.00820489i | ||||
\(829\) | −1.47105 | + | 6.92075i | −0.0510917 | + | 0.240368i | −0.996282 | − | 0.0861525i | \(-0.972543\pi\) |
0.945190 | + | 0.326520i | \(0.105876\pi\) | |||||||
\(830\) | 28.9930 | + | 23.4781i | 1.00636 | + | 0.814935i | ||||
\(831\) | −3.82407 | + | 2.77835i | −0.132656 | + | 0.0963800i | ||||
\(832\) | 23.2148 | + | 21.3381i | 0.804829 | + | 0.739765i | ||||
\(833\) | −16.7001 | − | 5.42618i | −0.578623 | − | 0.188006i | ||||
\(834\) | −4.36235 | − | 1.67455i | −0.151056 | − | 0.0579849i | ||||
\(835\) | −54.0599 | − | 31.2115i | −1.87082 | − | 1.08012i | ||||
\(836\) | −3.13438 | − | 1.62836i | −0.108405 | − | 0.0563179i | ||||
\(837\) | −3.67591 | − | 3.67591i | −0.127058 | − | 0.127058i | ||||
\(838\) | 8.54572 | + | 10.5531i | 0.295207 | + | 0.364550i | ||||
\(839\) | −6.96749 | + | 10.7290i | −0.240545 | + | 0.370406i | −0.938238 | − | 0.345990i | \(-0.887543\pi\) |
0.697694 | + | 0.716396i | \(0.254210\pi\) | |||||||
\(840\) | 18.2369 | + | 9.29215i | 0.629232 | + | 0.320610i | ||||
\(841\) | −9.33270 | − | 4.15519i | −0.321817 | − | 0.143282i | ||||
\(842\) | 0.0423196 | + | 0.402644i | 0.00145843 | + | 0.0138760i | ||||
\(843\) | −5.11179 | − | 7.87147i | −0.176059 | − | 0.271108i | ||||
\(844\) | −1.26445 | + | 3.89157i | −0.0435241 | + | 0.133953i | ||||
\(845\) | −49.9551 | − | 20.3617i | −1.71851 | − | 0.700464i | ||||
\(846\) | 2.46024i | 0.0845847i | ||||||||
\(847\) | −2.56432 | − | 18.0294i | −0.0881112 | − | 0.619498i | ||||
\(848\) | 4.58908 | − | 7.94853i | 0.157590 | − | 0.272954i | ||||
\(849\) | 0.318909 | − | 3.03421i | 0.0109449 | − | 0.104134i | ||||
\(850\) | −59.2759 | + | 30.2026i | −2.03315 | + | 1.03594i | ||||
\(851\) | −35.1039 | + | 1.83972i | −1.20335 | + | 0.0630647i | ||||
\(852\) | 2.33700 | − | 0.897092i | 0.0800645 | − | 0.0307339i | ||||
\(853\) | −47.7886 | − | 7.56897i | −1.63625 | − | 0.259157i | −0.730482 | − | 0.682932i | \(-0.760705\pi\) |
−0.905767 | + | 0.423775i | \(0.860705\pi\) | |||||||
\(854\) | −9.90504 | − | 8.91854i | −0.338944 | − | 0.305186i | ||||
\(855\) | 11.5457 | + | 12.8228i | 0.394854 | + | 0.438530i | ||||
\(856\) | 6.94515 | − | 18.0927i | 0.237380 | − | 0.618397i | ||||
\(857\) | −34.2962 | −1.17154 | −0.585768 | − | 0.810478i | \(-0.699207\pi\) | ||||
−0.585768 | + | 0.810478i | \(0.699207\pi\) | |||||||
\(858\) | −7.42356 | + | 13.9379i | −0.253436 | + | 0.475833i | ||||
\(859\) | −20.7759 | −0.708865 | −0.354432 | − | 0.935082i | \(-0.615326\pi\) | ||||
−0.354432 | + | 0.935082i | \(0.615326\pi\) | |||||||
\(860\) | −2.56983 | + | 6.69464i | −0.0876305 | + | 0.228285i | ||||
\(861\) | 10.8861 | + | 12.0902i | 0.370997 | + | 0.412034i | ||||
\(862\) | −9.65848 | − | 8.69653i | −0.328969 | − | 0.296205i | ||||
\(863\) | 9.71590 | + | 1.53885i | 0.330733 | + | 0.0523830i | 0.319593 | − | 0.947555i | \(-0.396454\pi\) |
0.0111403 | + | 0.999938i | \(0.496454\pi\) | |||||||
\(864\) | 1.34390 | − | 0.515873i | 0.0457203 | − | 0.0175504i | ||||
\(865\) | 8.92178 | − | 0.467571i | 0.303350 | − | 0.0158979i | ||||
\(866\) | −29.2201 | + | 14.8884i | −0.992939 | + | 0.505928i | ||||
\(867\) | 0.000344242 | − | 0.00327524i | 1.16911e−5 | − | 0.000111233i | ||||
\(868\) | 1.10212 | − | 1.90893i | 0.0374084 | − | 0.0647933i | ||||
\(869\) | 32.9902 | − | 6.74038i | 1.11911 | − | 0.228652i | ||||
\(870\) | 34.3163i | 1.16343i | ||||||||
\(871\) | 3.20176 | + | 21.6506i | 0.108487 | + | 0.733604i | ||||
\(872\) | 5.65129 | − | 17.3929i | 0.191377 | − | 0.588997i | ||||
\(873\) | −6.27276 | − | 9.65920i | −0.212301 | − | 0.326914i | ||||
\(874\) | −2.54482 | − | 24.2124i | −0.0860799 | − | 0.818995i | ||||
\(875\) | −45.3098 | − | 20.1732i | −1.53175 | − | 0.681979i | ||||
\(876\) | 2.57988 | + | 1.31451i | 0.0871660 | + | 0.0444133i | ||||
\(877\) | −16.4208 | + | 25.2859i | −0.554492 | + | 0.853843i | −0.999123 | − | 0.0418710i | \(-0.986668\pi\) |
0.444631 | + | 0.895714i | \(0.353335\pi\) | |||||||
\(878\) | −33.3564 | − | 41.1917i | −1.12572 | − | 1.39015i | ||||
\(879\) | 8.00035 | + | 8.00035i | 0.269845 | + | 0.269845i | ||||
\(880\) | −33.5658 | + | 33.0397i | −1.13150 | + | 1.11377i | ||||
\(881\) | 36.4042 | + | 21.0179i | 1.22649 | + | 0.708113i | 0.966293 | − | 0.257444i | \(-0.0828802\pi\) |
0.260194 | + | 0.965556i | \(0.416214\pi\) | |||||||
\(882\) | 5.25097 | + | 2.01566i | 0.176809 | + | 0.0678708i | ||||
\(883\) | 4.49688 | + | 1.46112i | 0.151332 | + | 0.0491707i | 0.383703 | − | 0.923456i | \(-0.374649\pi\) |
−0.232371 | + | 0.972627i | \(0.574649\pi\) | |||||||
\(884\) | −3.63266 | + | 1.13925i | −0.122180 | + | 0.0383171i | ||||
\(885\) | 9.66133 | − | 7.01937i | 0.324762 | − | 0.235953i | ||||
\(886\) | −40.8061 | − | 33.0441i | −1.37091 | − | 1.11014i | ||||
\(887\) | 4.52525 | − | 21.2896i | 0.151943 | − | 0.714836i | −0.834537 | − | 0.550952i | \(-0.814265\pi\) |
0.986480 | − | 0.163883i | \(-0.0524021\pi\) | |||||||
\(888\) | −23.1051 | + | 4.91114i | −0.775357 | + | 0.164807i | ||||
\(889\) | −2.90771 | − | 18.3586i | −0.0975216 | − | 0.615727i | ||||
\(890\) | −26.6438 | − | 7.13919i | −0.893103 | − | 0.239306i | ||||
\(891\) | 1.92821 | + | 2.69852i | 0.0645974 | + | 0.0904038i | ||||
\(892\) | −1.67776 | + | 1.67776i | −0.0561754 | + | 0.0561754i | ||||
\(893\) | −7.70424 | − | 0.809748i | −0.257813 | − | 0.0270972i | ||||
\(894\) | −4.23968 | + | 3.81743i | −0.141796 | + | 0.127674i | ||||
\(895\) | 57.4421 | − | 37.3033i | 1.92008 | − | 1.24691i | ||||
\(896\) | −8.43643 | − | 11.6118i | −0.281841 | − | 0.387921i | ||||
\(897\) | 15.9147 | − | 1.50777i | 0.531377 | − | 0.0503430i | ||||
\(898\) | 23.4034 | − | 7.60423i | 0.780982 | − | 0.253756i | ||||
\(899\) | 32.5099 | + | 1.70377i | 1.08427 | + | 0.0568239i | ||||
\(900\) | −2.85910 | + | 1.27295i | −0.0953032 | + | 0.0424317i | ||||
\(901\) | 5.52850 | + | 9.57565i | 0.184181 | + | 0.319011i | ||||
\(902\) | −39.4566 | + | 17.1951i | −1.31376 | + | 0.572534i | ||||
\(903\) | 2.89105 | − | 10.7896i | 0.0962082 | − | 0.359054i | ||||
\(904\) | −33.5716 | + | 27.1857i | −1.11657 | + | 0.904184i | ||||
\(905\) | −9.58568 | − | 18.8130i | −0.318639 | − | 0.625364i | ||||
\(906\) | −14.5813 | + | 16.1942i | −0.484433 | + | 0.538017i | ||||
\(907\) | −21.0274 | + | 2.21007i | −0.698205 | + | 0.0733843i | −0.446979 | − | 0.894544i | \(-0.647500\pi\) |
−0.251225 | + | 0.967929i | \(0.580834\pi\) | |||||||
\(908\) | −0.483734 | + | 0.597362i | −0.0160533 | + | 0.0198241i | ||||
\(909\) | 2.49781 | + | 7.68746i | 0.0828471 | + | 0.254977i | ||||
\(910\) | 27.2486 | + | 18.0956i | 0.903282 | + | 0.599864i | ||||
\(911\) | 16.4243 | + | 11.9330i | 0.544162 | + | 0.395357i | 0.825628 | − | 0.564214i | \(-0.190821\pi\) |
−0.281467 | + | 0.959571i | \(0.590821\pi\) | |||||||
\(912\) | −3.68294 | − | 13.7449i | −0.121954 | − | 0.455139i | ||||
\(913\) | −17.6594 | + | 14.0708i | −0.584439 | + | 0.465675i | ||||
\(914\) | −2.43433 | + | 1.40546i | −0.0805205 | + | 0.0464886i | ||||
\(915\) | 24.9872 | − | 3.95759i | 0.826052 | − | 0.130834i | ||||
\(916\) | −5.61974 | − | 3.64950i | −0.185682 | − | 0.120583i | ||||
\(917\) | 0.572681 | + | 10.9274i | 0.0189116 | + | 0.360855i | ||||
\(918\) | 0.851674 | − | 5.37726i | 0.0281094 | − | 0.177476i | ||||
\(919\) | 22.7269 | − | 51.0454i | 0.749691 | − | 1.68383i | 0.0202437 | − | 0.999795i | \(-0.493556\pi\) |
0.729447 | − | 0.684037i | \(-0.239778\pi\) | |||||||
\(920\) | 53.6171 | + | 11.3967i | 1.76770 | + | 0.375737i | ||||
\(921\) | 0.147745 | − | 2.81915i | 0.00486838 | − | 0.0928942i | ||||
\(922\) | −8.57747 | + | 11.8059i | −0.282484 | + | 0.388806i | ||||
\(923\) | 34.1312 | − | 8.77107i | 1.12344 | − | 0.288703i | ||||
\(924\) | −0.893613 | + | 1.08587i | −0.0293977 | + | 0.0357225i | ||||
\(925\) | 93.5802 | − | 25.0747i | 3.07690 | − | 0.824452i | ||||
\(926\) | 20.5845 | + | 46.2336i | 0.676450 | + | 1.51933i | ||||
\(927\) | 1.21658 | + | 5.72358i | 0.0399579 | + | 0.187987i | ||||
\(928\) | −4.09253 | + | 8.03204i | −0.134344 | + | 0.263665i | ||||
\(929\) | 10.1798 | + | 26.5193i | 0.333988 | + | 0.870069i | 0.993019 | + | 0.117953i | \(0.0376332\pi\) |
−0.659031 | + | 0.752116i | \(0.729033\pi\) | |||||||
\(930\) | −10.2089 | − | 26.5951i | −0.334763 | − | 0.872087i | ||||
\(931\) | −8.04032 | + | 15.7800i | −0.263511 | + | 0.517169i | ||||
\(932\) | 1.10998 | + | 5.22203i | 0.0363585 | + | 0.171053i | ||||
\(933\) | −3.39533 | − | 7.62604i | −0.111158 | − | 0.249665i | ||||
\(934\) | 8.99006 | − | 2.40888i | 0.294164 | − | 0.0788209i | ||||
\(935\) | −14.2521 | − | 54.9210i | −0.466093 | − | 1.79611i | ||||
\(936\) | 10.4041 | − | 2.67366i | 0.340069 | − | 0.0873914i | ||||
\(937\) | 8.76671 | − | 12.0663i | 0.286396 | − | 0.394190i | −0.641443 | − | 0.767170i | \(-0.721664\pi\) |
0.927839 | + | 0.372980i | \(0.121664\pi\) | |||||||
\(938\) | 0.694533 | − | 13.2525i | 0.0226773 | − | 0.432709i | ||||
\(939\) | 25.2720 | + | 5.37174i | 0.824722 | + | 0.175300i | ||||
\(940\) | 0.805351 | − | 1.80885i | 0.0262676 | − | 0.0589981i | ||||
\(941\) | 3.95975 | − | 25.0009i | 0.129084 | − | 0.815005i | −0.835164 | − | 0.550002i | \(-0.814627\pi\) |
0.964248 | − | 0.265003i | \(-0.0853729\pi\) | |||||||
\(942\) | −0.197567 | − | 3.76980i | −0.00643707 | − | 0.122827i | ||||
\(943\) | 36.5412 | + | 23.7301i | 1.18994 | + | 0.772759i | ||||
\(944\) | −9.72722 | + | 1.54064i | −0.316594 | + | 0.0501436i | ||||
\(945\) | 5.94949 | − | 3.43494i | 0.193537 | − | 0.111739i | ||||
\(946\) | 24.6559 | + | 16.2901i | 0.801634 | + | 0.529636i | ||||
\(947\) | 7.53396 | + | 28.1171i | 0.244821 | + | 0.913684i | 0.973473 | + | 0.228800i | \(0.0734802\pi\) |
−0.728653 | + | 0.684883i | \(0.759853\pi\) | |||||||
\(948\) | −2.10362 | − | 1.52837i | −0.0683225 | − | 0.0496392i | ||||
\(949\) | 33.9557 | + | 22.5498i | 1.10225 | + | 0.731997i | ||||
\(950\) | 20.7345 | + | 63.8144i | 0.672717 | + | 2.07041i | ||||
\(951\) | −7.77200 | + | 9.59762i | −0.252024 | + | 0.311224i | ||||
\(952\) | 20.2234 | − | 2.12557i | 0.655445 | − | 0.0688901i | ||||
\(953\) | 20.6524 | − | 22.9368i | 0.668997 | − | 0.742997i | −0.309126 | − | 0.951021i | \(-0.600037\pi\) |
0.978124 | + | 0.208024i | \(0.0667033\pi\) | |||||||
\(954\) | −1.60790 | − | 3.15569i | −0.0520578 | − | 0.102169i | ||||
\(955\) | −11.1203 | + | 9.00503i | −0.359844 | + | 0.291396i | ||||
\(956\) | −0.921670 | + | 3.43972i | −0.0298089 | + | 0.111248i | ||||
\(957\) | −20.2810 | − | 4.47857i | −0.655590 | − | 0.144771i | ||||
\(958\) | −6.89439 | − | 11.9414i | −0.222748 | − | 0.385810i | ||||
\(959\) | 32.9369 | − | 14.6644i | 1.06359 | − | 0.473540i | ||||
\(960\) | 36.2401 | + | 1.89927i | 1.16965 | + | 0.0612985i | ||||
\(961\) | 3.78081 | − | 1.22846i | 0.121962 | − | 0.0396277i | ||||
\(962\) | −37.5814 | + | 3.56049i | −1.21167 | + | 0.114795i | ||||
\(963\) | −3.82341 | − | 5.26247i | −0.123208 | − | 0.169581i | ||||
\(964\) | −2.72781 | + | 1.77146i | −0.0878569 | + | 0.0570549i | ||||
\(965\) | −0.749352 | + | 0.674719i | −0.0241225 | + | 0.0217200i | ||||
\(966\) | −9.64001 | − | 1.01321i | −0.310162 | − | 0.0325994i | ||||
\(967\) | 7.14081 | − | 7.14081i | 0.229633 | − | 0.229633i | −0.582906 | − | 0.812539i | \(-0.698085\pi\) |
0.812539 | + | 0.582906i | \(0.198085\pi\) | |||||||
\(968\) | −17.4129 | − | 27.7641i | −0.559673 | − | 0.892371i | ||||
\(969\) | 16.5586 | + | 4.43686i | 0.531938 | + | 0.142532i | ||||
\(970\) | −9.87306 | − | 62.3361i | −0.317005 | − | 2.00149i | ||||
\(971\) | 1.53195 | − | 0.325627i | 0.0491628 | − | 0.0104499i | −0.183265 | − | 0.983064i | \(-0.558667\pi\) |
0.232427 | + | 0.972614i | \(0.425333\pi\) | |||||||
\(972\) | 0.0532501 | − | 0.250522i | 0.00170800 | − | 0.00803550i | ||||
\(973\) | −4.55251 | − | 3.68655i | −0.145947 | − | 0.118185i | ||||
\(974\) | −14.2653 | + | 10.3643i | −0.457089 | + | 0.332094i | ||||
\(975\) | −42.0395 | + | 13.1841i | −1.34634 | + | 0.422230i | ||||
\(976\) | −19.8424 | − | 6.44718i | −0.635140 | − | 0.206369i | ||||
\(977\) | 50.5366 | + | 19.3992i | 1.61681 | + | 0.620635i | 0.987655 | − | 0.156644i | \(-0.0500675\pi\) |
0.629155 | + | 0.777279i | \(0.283401\pi\) | |||||||
\(978\) | 22.3498 | + | 12.9037i | 0.714668 | + | 0.412613i | ||||
\(979\) | 7.69651 | − | 14.8148i | 0.245981 | − | 0.473483i | ||||
\(980\) | −3.20087 | − | 3.20087i | −0.102248 | − | 0.102248i | ||||
\(981\) | −3.86293 | − | 4.77032i | −0.123334 | − | 0.152304i | ||||
\(982\) | 11.8047 | − | 18.1777i | 0.376704 | − | 0.580073i | ||||
\(983\) | 15.6815 | + | 7.99014i | 0.500163 | + | 0.254846i | 0.685823 | − | 0.727768i | \(-0.259442\pi\) |
−0.185660 | + | 0.982614i | \(0.559442\pi\) | |||||||
\(984\) | 26.7470 | + | 11.9085i | 0.852662 | + | 0.379629i | ||||
\(985\) | −11.4408 | − | 108.852i | −0.364535 | − | 3.46832i | ||||
\(986\) | 18.5687 | + | 28.5932i | 0.591347 | + | 0.910594i | ||||
\(987\) | −0.953100 | + | 2.93334i | −0.0303375 | + | 0.0933692i | ||||
\(988\) | 0.561733 | + | 3.79851i | 0.0178711 | + | 0.120847i | ||||
\(989\) | − | 29.9150i | − | 0.951243i | ||||||
\(990\) | 3.63819 | + | 17.8068i | 0.115629 | + | 0.565937i | ||||
\(991\) | 14.1601 | − | 24.5259i | 0.449809 | − | 0.779092i | −0.548564 | − | 0.836108i | \(-0.684825\pi\) |
0.998373 | + | 0.0570163i | \(0.0181587\pi\) | |||||||
\(992\) | 0.782219 | − | 7.44232i | 0.0248355 | − | 0.236294i | ||||
\(993\) | 5.82926 | − | 2.97016i | 0.184986 | − | 0.0942551i | ||||
\(994\) | −21.3386 | + | 1.11831i | −0.676820 | + | 0.0354706i | ||||
\(995\) | −9.83313 | + | 3.77459i | −0.311731 | + | 0.119662i | ||||
\(996\) | 1.72219 | + | 0.272769i | 0.0545698 | + | 0.00864301i | ||||
\(997\) | 7.44845 | + | 6.70661i | 0.235895 | + | 0.212401i | 0.778596 | − | 0.627525i | \(-0.215932\pi\) |
−0.542702 | + | 0.839925i | \(0.682599\pi\) | |||||||
\(998\) | −13.8235 | − | 15.3526i | −0.437575 | − | 0.485977i | ||||
\(999\) | −2.84127 | + | 7.40176i | −0.0898938 | + | 0.234181i |
(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 | 429.2.bs.b.7.4 | ✓ | 224 | |
11.8 | odd | 10 | inner | 429.2.bs.b.85.4 | yes | 224 | |
13.2 | odd | 12 | inner | 429.2.bs.b.106.4 | yes | 224 | |
143.41 | even | 60 | inner | 429.2.bs.b.184.4 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.7.4 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.85.4 | yes | 224 | 11.8 | odd | 10 | inner | |
429.2.bs.b.106.4 | yes | 224 | 13.2 | odd | 12 | inner | |
429.2.bs.b.184.4 | yes | 224 | 143.41 | even | 60 | inner |