Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [168,2,Mod(11,168)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(168, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 3, 3, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("168.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 168 = 2^{3} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 168.v (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.34148675396\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 107.5 | ||
Character | \(\chi\) | \(=\) | 168.107 |
Dual form | 168.2.v.a.11.5 |
$q$-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 \(\left(\mathbb{Z}/168\mathbb{Z}\right)^\times\).
\(n\) | \(73\) | \(85\) | \(113\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(-1\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18883 | + | 0.765954i | −0.840629 | + | 0.541612i | ||||
\(3\) | 0.728136 | + | 1.57157i | 0.420390 | + | 0.907344i | ||||
\(4\) | 0.826627 | − | 1.82118i | 0.413314 | − | 0.910589i | ||||
\(5\) | −1.00081 | + | 1.73346i | −0.447577 | + | 0.775227i | −0.998228 | − | 0.0595094i | \(-0.981046\pi\) |
0.550650 | + | 0.834736i | \(0.314380\pi\) | |||||||
\(6\) | −2.06938 | − | 1.31060i | −0.844819 | − | 0.535051i | ||||
\(7\) | −2.50986 | + | 0.837013i | −0.948639 | + | 0.316361i | ||||
\(8\) | 0.412221 | + | 2.79823i | 0.145742 | + | 0.989323i | ||||
\(9\) | −1.93964 | + | 2.28863i | −0.646545 | + | 0.762876i | ||||
\(10\) | −0.137955 | − | 2.82736i | −0.0436254 | − | 0.894091i | ||||
\(11\) | 3.33711 | − | 1.92668i | 1.00618 | − | 0.580916i | 0.0961058 | − | 0.995371i | \(-0.469361\pi\) |
0.910070 | + | 0.414455i | \(0.136028\pi\) | |||||||
\(12\) | 3.46400 | − | 0.0269657i | 0.999970 | − | 0.00778433i | ||||
\(13\) | 2.05924i | 0.571129i | 0.958359 | + | 0.285565i | \(0.0921811\pi\) | ||||
−0.958359 | + | 0.285565i | \(0.907819\pi\) | |||||||
\(14\) | 2.34268 | − | 2.91751i | 0.626108 | − | 0.779736i | ||||
\(15\) | −3.45297 | − | 0.310649i | −0.891554 | − | 0.0802093i | ||||
\(16\) | −2.63337 | − | 3.01087i | −0.658344 | − | 0.752718i | ||||
\(17\) | −4.92484 | + | 2.84336i | −1.19445 | + | 0.689616i | −0.959313 | − | 0.282346i | \(-0.908887\pi\) |
−0.235137 | + | 0.971962i | \(0.575554\pi\) | |||||||
\(18\) | 0.552911 | − | 4.20646i | 0.130322 | − | 0.991472i | ||||
\(19\) | −0.232846 | + | 0.403301i | −0.0534185 | + | 0.0925235i | −0.891498 | − | 0.453024i | \(-0.850345\pi\) |
0.838080 | + | 0.545548i | \(0.183678\pi\) | |||||||
\(20\) | 2.32964 | + | 3.25558i | 0.520923 | + | 0.727971i | ||||
\(21\) | −3.14294 | − | 3.33495i | −0.685846 | − | 0.727747i | ||||
\(22\) | −2.49150 | + | 4.84656i | −0.531189 | + | 1.03329i | ||||
\(23\) | 0.711115 | − | 1.23169i | 0.148278 | − | 0.256825i | −0.782313 | − | 0.622885i | \(-0.785960\pi\) |
0.930591 | + | 0.366061i | \(0.119294\pi\) | |||||||
\(24\) | −4.09744 | + | 2.68532i | −0.836387 | + | 0.548139i | ||||
\(25\) | 0.496746 | + | 0.860389i | 0.0993492 | + | 0.172078i | ||||
\(26\) | −1.57728 | − | 2.44808i | −0.309330 | − | 0.480108i | ||||
\(27\) | −5.00905 | − | 1.38183i | −0.963991 | − | 0.265934i | ||||
\(28\) | −0.550373 | + | 5.26280i | −0.104011 | + | 0.994576i | ||||
\(29\) | 9.25829 | 1.71922 | 0.859611 | − | 0.510949i | \(-0.170706\pi\) | ||||
0.859611 | + | 0.510949i | \(0.170706\pi\) | |||||||
\(30\) | 4.34294 | − | 2.27551i | 0.792908 | − | 0.415450i | ||||
\(31\) | 4.99699 | − | 2.88502i | 0.897486 | − | 0.518164i | 0.0211026 | − | 0.999777i | \(-0.493282\pi\) |
0.876384 | + | 0.481613i | \(0.159949\pi\) | |||||||
\(32\) | 5.43682 | + | 1.56236i | 0.961103 | + | 0.276190i | ||||
\(33\) | 5.45777 | + | 3.84160i | 0.950076 | + | 0.668736i | ||||
\(34\) | 3.67691 | − | 7.15247i | 0.630585 | − | 1.22664i | ||||
\(35\) | 1.06098 | − | 5.18844i | 0.179338 | − | 0.877006i | ||||
\(36\) | 2.56464 | + | 5.42426i | 0.427440 | + | 0.904044i | ||||
\(37\) | −0.569094 | − | 0.328567i | −0.0935586 | − | 0.0540161i | 0.452491 | − | 0.891769i | \(-0.350536\pi\) |
−0.546049 | + | 0.837753i | \(0.683869\pi\) | |||||||
\(38\) | −0.0320962 | − | 0.657805i | −0.00520670 | − | 0.106710i | ||||
\(39\) | −3.23622 | + | 1.49940i | −0.518211 | + | 0.240097i | ||||
\(40\) | −5.26317 | − | 2.08593i | −0.832180 | − | 0.329815i | ||||
\(41\) | 8.42924i | 1.31643i | 0.752832 | + | 0.658213i | \(0.228687\pi\) | ||||
−0.752832 | + | 0.658213i | \(0.771313\pi\) | |||||||
\(42\) | 6.29084 | + | 1.55734i | 0.970698 | + | 0.240303i | ||||
\(43\) | 6.77074 | 1.03253 | 0.516264 | − | 0.856430i | \(-0.327322\pi\) | ||||
0.516264 | + | 0.856430i | \(0.327322\pi\) | |||||||
\(44\) | −0.750281 | − | 7.67011i | −0.113109 | − | 1.15631i | ||||
\(45\) | −2.02603 | − | 5.65277i | −0.302022 | − | 0.842665i | ||||
\(46\) | 0.0980225 | + | 2.00895i | 0.0144526 | + | 0.296203i | ||||
\(47\) | 1.79536 | − | 3.10966i | 0.261881 | − | 0.453590i | −0.704861 | − | 0.709345i | \(-0.748991\pi\) |
0.966742 | + | 0.255755i | \(0.0823240\pi\) | |||||||
\(48\) | 2.81433 | − | 6.33084i | 0.406213 | − | 0.913778i | ||||
\(49\) | 5.59882 | − | 4.20157i | 0.799831 | − | 0.600225i | ||||
\(50\) | −1.24956 | − | 0.642371i | −0.176715 | − | 0.0908449i | ||||
\(51\) | −8.05448 | − | 5.66936i | −1.12785 | − | 0.793869i | ||||
\(52\) | 3.75023 | + | 1.70222i | 0.520064 | + | 0.236056i | ||||
\(53\) | 1.50566 | + | 2.60789i | 0.206819 | + | 0.358221i | 0.950711 | − | 0.310079i | \(-0.100356\pi\) |
−0.743892 | + | 0.668300i | \(0.767022\pi\) | |||||||
\(54\) | 7.01332 | − | 2.19394i | 0.954392 | − | 0.298557i | ||||
\(55\) | 7.71298i | 1.04002i | ||||||||
\(56\) | −3.37677 | − | 6.67813i | −0.451240 | − | 0.892403i | ||||
\(57\) | −0.803357 | − | 0.0722746i | −0.106407 | − | 0.00957300i | ||||
\(58\) | −11.0065 | + | 7.09143i | −1.44523 | + | 0.931151i | ||||
\(59\) | 5.72041 | − | 3.30268i | 0.744735 | − | 0.429973i | −0.0790537 | − | 0.996870i | \(-0.525190\pi\) |
0.823788 | + | 0.566898i | \(0.191857\pi\) | |||||||
\(60\) | −3.42007 | + | 6.03168i | −0.441529 | + | 0.778687i | ||||
\(61\) | 8.50530 | + | 4.91054i | 1.08899 | + | 0.628730i | 0.933308 | − | 0.359077i | \(-0.116908\pi\) |
0.155684 | + | 0.987807i | \(0.450242\pi\) | |||||||
\(62\) | −3.73078 | + | 7.25726i | −0.473809 | + | 0.921673i | ||||
\(63\) | 2.95261 | − | 7.36764i | 0.371994 | − | 0.928235i | ||||
\(64\) | −7.66015 | + | 2.30697i | −0.957519 | + | 0.288372i | ||||
\(65\) | −3.56960 | − | 2.06091i | −0.442755 | − | 0.255624i | ||||
\(66\) | −9.43084 | − | 0.386597i | −1.16086 | − | 0.0475868i | ||||
\(67\) | −3.78271 | − | 6.55184i | −0.462131 | − | 0.800435i | 0.536936 | − | 0.843623i | \(-0.319582\pi\) |
−0.999067 | + | 0.0431883i | \(0.986248\pi\) | |||||||
\(68\) | 1.10725 | + | 11.3194i | 0.134274 | + | 1.37268i | ||||
\(69\) | 2.45347 | + | 0.220728i | 0.295363 | + | 0.0265725i | ||||
\(70\) | 2.71279 | + | 6.98082i | 0.324240 | + | 0.834368i | ||||
\(71\) | −14.0426 | −1.66655 | −0.833274 | − | 0.552861i | \(-0.813536\pi\) | ||||
−0.833274 | + | 0.552861i | \(0.813536\pi\) | |||||||
\(72\) | −7.20366 | − | 4.48412i | −0.848959 | − | 0.528459i | ||||
\(73\) | −2.02113 | − | 3.50071i | −0.236556 | − | 0.409727i | 0.723168 | − | 0.690672i | \(-0.242685\pi\) |
−0.959724 | + | 0.280946i | \(0.909352\pi\) | |||||||
\(74\) | 0.928223 | − | 0.0452908i | 0.107904 | − | 0.00526494i | ||||
\(75\) | −0.990459 | + | 1.40715i | −0.114368 | + | 0.162484i | ||||
\(76\) | 0.542005 | + | 0.757433i | 0.0621723 | + | 0.0868835i | ||||
\(77\) | −6.76302 | + | 7.62890i | −0.770718 | + | 0.869394i | ||||
\(78\) | 2.69884 | − | 4.26133i | 0.305584 | − | 0.482501i | ||||
\(79\) | 0.00488142 | + | 0.00281829i | 0.000549203 | + | 0.000317082i | 0.500275 | − | 0.865867i | \(-0.333232\pi\) |
−0.499725 | + | 0.866184i | \(0.666566\pi\) | |||||||
\(80\) | 7.85474 | − | 1.55153i | 0.878186 | − | 0.173466i | ||||
\(81\) | −1.47562 | − | 8.87821i | −0.163958 | − | 0.986467i | ||||
\(82\) | −6.45642 | − | 10.0209i | −0.712992 | − | 1.10663i | ||||
\(83\) | 8.56466i | 0.940093i | 0.882642 | + | 0.470047i | \(0.155763\pi\) | ||||
−0.882642 | + | 0.470047i | \(0.844237\pi\) | |||||||
\(84\) | −8.67158 | + | 2.96709i | −0.946147 | + | 0.323736i | ||||
\(85\) | − | 11.3827i | − | 1.23463i | ||||||
\(86\) | −8.04925 | + | 5.18608i | −0.867973 | + | 0.559229i | ||||
\(87\) | 6.74130 | + | 14.5500i | 0.722743 | + | 1.55993i | ||||
\(88\) | 6.76691 | + | 8.54376i | 0.721355 | + | 0.910768i | ||||
\(89\) | −8.14017 | − | 4.69973i | −0.862857 | − | 0.498170i | 0.00211125 | − | 0.999998i | \(-0.499328\pi\) |
−0.864968 | + | 0.501827i | \(0.832661\pi\) | |||||||
\(90\) | 6.73836 | + | 5.16833i | 0.710286 | + | 0.544790i | ||||
\(91\) | −1.72361 | − | 5.16840i | −0.180683 | − | 0.541795i | ||||
\(92\) | −1.65529 | − | 2.31321i | −0.172576 | − | 0.241169i | ||||
\(93\) | 8.17248 | + | 5.75242i | 0.847447 | + | 0.596498i | ||||
\(94\) | 0.247479 | + | 5.07202i | 0.0255255 | + | 0.523139i | ||||
\(95\) | −0.466070 | − | 0.807257i | −0.0478178 | − | 0.0828228i | ||||
\(96\) | 1.50339 | + | 9.68193i | 0.153439 | + | 0.988158i | ||||
\(97\) | −4.17304 | −0.423708 | −0.211854 | − | 0.977301i | \(-0.567950\pi\) | ||||
−0.211854 | + | 0.977301i | \(0.567950\pi\) | |||||||
\(98\) | −3.43782 | + | 9.28339i | −0.347273 | + | 0.937764i | ||||
\(99\) | −2.06332 | + | 11.3744i | −0.207372 | + | 1.14317i | ||||
\(100\) | 1.97755 | − | 0.193441i | 0.197755 | − | 0.0193441i | ||||
\(101\) | −5.27692 | − | 9.13990i | −0.525073 | − | 0.909454i | −0.999574 | − | 0.0291983i | \(-0.990705\pi\) |
0.474500 | − | 0.880255i | \(-0.342629\pi\) | |||||||
\(102\) | 13.9179 | + | 0.570533i | 1.37807 | + | 0.0564912i | ||||
\(103\) | 9.20735 | + | 5.31587i | 0.907227 | + | 0.523788i | 0.879538 | − | 0.475829i | \(-0.157852\pi\) |
0.0276894 | + | 0.999617i | \(0.491185\pi\) | |||||||
\(104\) | −5.76221 | + | 0.848859i | −0.565031 | + | 0.0832375i | ||||
\(105\) | 8.92650 | − | 2.11050i | 0.871138 | − | 0.205963i | ||||
\(106\) | −3.78750 | − | 1.94706i | −0.367874 | − | 0.189115i | ||||
\(107\) | 4.86572 | + | 2.80922i | 0.470386 | + | 0.271578i | 0.716401 | − | 0.697688i | \(-0.245788\pi\) |
−0.246015 | + | 0.969266i | \(0.579121\pi\) | |||||||
\(108\) | −6.65718 | + | 7.98010i | −0.640587 | + | 0.767885i | ||||
\(109\) | −9.15046 | + | 5.28302i | −0.876456 | + | 0.506022i | −0.869488 | − | 0.493954i | \(-0.835551\pi\) |
−0.00696746 | + | 0.999976i | \(0.502218\pi\) | |||||||
\(110\) | −5.90779 | − | 9.16942i | −0.563286 | − | 0.874270i | ||||
\(111\) | 0.101986 | − | 1.13361i | 0.00968009 | − | 0.107598i | ||||
\(112\) | 9.12954 | + | 5.35270i | 0.862661 | + | 0.505783i | ||||
\(113\) | − | 15.9104i | − | 1.49673i | −0.663288 | − | 0.748364i | \(-0.730840\pi\) | ||
0.663288 | − | 0.748364i | \(-0.269160\pi\) | |||||||
\(114\) | 1.01041 | − | 0.529413i | 0.0946338 | − | 0.0495840i | ||||
\(115\) | 1.42339 | + | 2.46538i | 0.132731 | + | 0.229898i | ||||
\(116\) | 7.65316 | − | 16.8610i | 0.710578 | − | 1.56550i | ||||
\(117\) | −4.71282 | − | 3.99417i | −0.435701 | − | 0.369261i | ||||
\(118\) | −4.27089 | + | 8.30790i | −0.393167 | + | 0.764804i | ||||
\(119\) | 9.98075 | − | 11.2586i | 0.914934 | − | 1.03207i | ||||
\(120\) | −0.554119 | − | 9.79026i | −0.0505839 | − | 0.893724i | ||||
\(121\) | 1.92419 | − | 3.33279i | 0.174926 | − | 0.302981i | ||||
\(122\) | −13.8726 | + | 0.676885i | −1.25597 | + | 0.0612823i | ||||
\(123\) | −13.2471 | + | 6.13763i | −1.19445 | + | 0.553412i | ||||
\(124\) | −1.12347 | − | 11.4852i | −0.100891 | − | 1.03141i | ||||
\(125\) | −11.9967 | −1.07302 | ||||||||
\(126\) | 2.13313 | + | 11.0204i | 0.190034 | + | 0.981777i | ||||
\(127\) | − | 17.8415i | − | 1.58317i | −0.611056 | − | 0.791587i | \(-0.709255\pi\) | ||
0.611056 | − | 0.791587i | \(-0.290745\pi\) | |||||||
\(128\) | 7.33957 | − | 8.60992i | 0.648732 | − | 0.761017i | ||||
\(129\) | 4.93002 | + | 10.6407i | 0.434064 | + | 0.936858i | ||||
\(130\) | 5.82221 | − | 0.284083i | 0.510641 | − | 0.0249157i | ||||
\(131\) | 2.10794 | + | 1.21702i | 0.184172 | + | 0.106332i | 0.589251 | − | 0.807950i | \(-0.299423\pi\) |
−0.405080 | + | 0.914281i | \(0.632756\pi\) | |||||||
\(132\) | 11.5078 | − | 6.76400i | 1.00162 | − | 0.588730i | ||||
\(133\) | 0.246843 | − | 1.20712i | 0.0214040 | − | 0.104671i | ||||
\(134\) | 9.51540 | + | 4.89164i | 0.822006 | + | 0.422573i | ||||
\(135\) | 7.40847 | − | 7.30002i | 0.637620 | − | 0.628286i | ||||
\(136\) | −9.98649 | − | 12.6087i | −0.856334 | − | 1.08119i | ||||
\(137\) | 2.69513 | − | 1.55603i | 0.230260 | − | 0.132941i | −0.380432 | − | 0.924809i | \(-0.624225\pi\) |
0.610692 | + | 0.791868i | \(0.290891\pi\) | |||||||
\(138\) | −3.08582 | + | 1.61684i | −0.262682 | + | 0.137634i | ||||
\(139\) | 7.95494 | 0.674729 | 0.337364 | − | 0.941374i | \(-0.390465\pi\) | ||||
0.337364 | + | 0.941374i | \(0.390465\pi\) | |||||||
\(140\) | −8.57203 | − | 6.22113i | −0.724469 | − | 0.525781i | ||||
\(141\) | 6.19430 | + | 0.557275i | 0.521654 | + | 0.0469310i | ||||
\(142\) | 16.6942 | − | 10.7560i | 1.40095 | − | 0.902621i | ||||
\(143\) | 3.96749 | + | 6.87189i | 0.331778 | + | 0.574656i | ||||
\(144\) | 11.9985 | − | 0.186818i | 0.999879 | − | 0.0155682i | ||||
\(145\) | −9.26582 | + | 16.0489i | −0.769485 | + | 1.33279i | ||||
\(146\) | 5.08416 | + | 2.61364i | 0.420768 | + | 0.216307i | ||||
\(147\) | 10.6797 | + | 5.73959i | 0.880851 | + | 0.473394i | ||||
\(148\) | −1.06881 | + | 0.764820i | −0.0878554 | + | 0.0628678i | ||||
\(149\) | −5.27692 | + | 9.13990i | −0.432302 | + | 0.748769i | −0.997071 | − | 0.0764797i | \(-0.975632\pi\) |
0.564769 | + | 0.825249i | \(0.308965\pi\) | |||||||
\(150\) | 0.0996743 | − | 2.43151i | 0.00813837 | − | 0.198532i | ||||
\(151\) | −15.2482 | + | 8.80356i | −1.24088 | + | 0.716424i | −0.969274 | − | 0.245984i | \(-0.920889\pi\) |
−0.271608 | + | 0.962408i | \(0.587556\pi\) | |||||||
\(152\) | −1.22451 | − | 0.485306i | −0.0993209 | − | 0.0393635i | ||||
\(153\) | 3.04501 | − | 16.7862i | 0.246175 | − | 1.35708i | ||||
\(154\) | 2.19669 | − | 14.2496i | 0.177014 | − | 1.14827i | ||||
\(155\) | 11.5494i | 0.927674i | ||||||||
\(156\) | 0.0555288 | + | 7.13319i | 0.00444586 | + | 0.571112i | ||||
\(157\) | −2.13267 | + | 1.23130i | −0.170206 | + | 0.0982682i | −0.582683 | − | 0.812700i | \(-0.697997\pi\) |
0.412477 | + | 0.910968i | \(0.364664\pi\) | |||||||
\(158\) | −0.00796186 | 0.000388483i | −0.000633411 | 3.09060e-5i | ||||||
\(159\) | −3.00214 | + | 4.26515i | −0.238085 | + | 0.338248i | ||||
\(160\) | −8.14954 | + | 7.86087i | −0.644277 | + | 0.621457i | ||||
\(161\) | −0.753863 | + | 3.68658i | −0.0594127 | + | 0.290543i | ||||
\(162\) | 8.55457 | + | 9.42440i | 0.672110 | + | 0.740451i | ||||
\(163\) | −4.83382 | + | 8.37243i | −0.378614 | + | 0.655779i | −0.990861 | − | 0.134888i | \(-0.956933\pi\) |
0.612247 | + | 0.790667i | \(0.290266\pi\) | |||||||
\(164\) | 15.3511 | + | 6.96784i | 1.19872 | + | 0.544097i | ||||
\(165\) | −12.1215 | + | 5.61610i | −0.943654 | + | 0.437213i | ||||
\(166\) | −6.56014 | − | 10.1819i | −0.509166 | − | 0.790270i | ||||
\(167\) | 12.7380 | 0.985699 | 0.492850 | − | 0.870114i | \(-0.335955\pi\) | ||||
0.492850 | + | 0.870114i | \(0.335955\pi\) | |||||||
\(168\) | 8.03637 | − | 10.1694i | 0.620020 | − | 0.784586i | ||||
\(169\) | 8.75955 | 0.673811 | ||||||||
\(170\) | 8.71862 | + | 13.5321i | 0.668688 | + | 1.03786i | ||||
\(171\) | −0.471369 | − | 1.31515i | −0.0360465 | − | 0.100572i | ||||
\(172\) | 5.59688 | − | 12.3307i | 0.426758 | − | 0.940208i | ||||
\(173\) | 5.87501 | − | 10.1758i | 0.446668 | − | 0.773652i | −0.551498 | − | 0.834176i | \(-0.685944\pi\) |
0.998167 | + | 0.0605236i | \(0.0192770\pi\) | |||||||
\(174\) | −19.1589 | − | 12.1339i | −1.45243 | − | 0.919872i | ||||
\(175\) | −1.96692 | − | 1.74368i | −0.148685 | − | 0.131810i | ||||
\(176\) | −14.5888 | − | 4.97393i | −1.09967 | − | 0.374924i | ||||
\(177\) | 9.35562 | + | 6.58520i | 0.703212 | + | 0.494974i | ||||
\(178\) | 13.2771 | − | 0.647827i | 0.995157 | − | 0.0485567i | ||||
\(179\) | 8.89943 | − | 5.13809i | 0.665175 | − | 0.384039i | −0.129071 | − | 0.991635i | \(-0.541200\pi\) |
0.794246 | + | 0.607597i | \(0.207866\pi\) | |||||||
\(180\) | −11.9695 | − | 0.982976i | −0.892151 | − | 0.0732667i | ||||
\(181\) | 4.76352i | 0.354070i | 0.984205 | + | 0.177035i | \(0.0566505\pi\) | ||||
−0.984205 | + | 0.177035i | \(0.943349\pi\) | |||||||
\(182\) | 6.00783 | + | 4.82414i | 0.445330 | + | 0.357589i | ||||
\(183\) | −1.52422 | + | 16.9422i | −0.112673 | + | 1.25240i | ||||
\(184\) | 3.73968 | + | 1.48213i | 0.275693 | + | 0.109264i | ||||
\(185\) | 1.13911 | − | 0.657668i | 0.0837494 | − | 0.0483527i | ||||
\(186\) | −14.1218 | − | 0.578891i | −1.03546 | − | 0.0424464i | ||||
\(187\) | −10.9565 | + | 18.9772i | −0.801217 | + | 1.38775i | ||||
\(188\) | −4.17914 | − | 5.84020i | −0.304795 | − | 0.425941i | ||||
\(189\) | 13.7286 | − | 0.724423i | 0.998611 | − | 0.0526940i | ||||
\(190\) | 1.17240 | + | 0.602702i | 0.0850548 | + | 0.0437246i | ||||
\(191\) | 1.19496 | − | 2.06973i | 0.0864644 | − | 0.149761i | −0.819550 | − | 0.573008i | \(-0.805776\pi\) |
0.906014 | + | 0.423247i | \(0.139110\pi\) | |||||||
\(192\) | −9.20319 | − | 10.3586i | −0.664183 | − | 0.747570i | ||||
\(193\) | −3.18130 | − | 5.51018i | −0.228995 | − | 0.396631i | 0.728515 | − | 0.685029i | \(-0.240211\pi\) |
−0.957511 | + | 0.288398i | \(0.906877\pi\) | |||||||
\(194\) | 4.96103 | − | 3.19636i | 0.356181 | − | 0.229485i | ||||
\(195\) | 0.639700 | − | 7.11049i | 0.0458099 | − | 0.509192i | ||||
\(196\) | −3.02367 | − | 13.6696i | −0.215977 | − | 0.976399i | ||||
\(197\) | 16.9051 | 1.20444 | 0.602219 | − | 0.798331i | \(-0.294284\pi\) | ||||
0.602219 | + | 0.798331i | \(0.294284\pi\) | |||||||
\(198\) | −6.25937 | − | 15.1027i | −0.444834 | − | 1.07330i | ||||
\(199\) | −11.2472 | + | 6.49358i | −0.797293 | + | 0.460318i | −0.842524 | − | 0.538659i | \(-0.818931\pi\) |
0.0452304 | + | 0.998977i | \(0.485598\pi\) | |||||||
\(200\) | −2.20280 | + | 1.74468i | −0.155761 | + | 0.123367i | ||||
\(201\) | 7.54232 | − | 10.7154i | 0.531994 | − | 0.755806i | ||||
\(202\) | 13.2741 | + | 6.82389i | 0.933962 | + | 0.480127i | ||||
\(203\) | −23.2370 | + | 7.74931i | −1.63092 | + | 0.543895i | ||||
\(204\) | −16.9830 | + | 9.98219i | −1.18905 | + | 0.698893i | ||||
\(205\) | −14.6117 | − | 8.43610i | −1.02053 | − | 0.589202i | ||||
\(206\) | −15.0177 | + | 0.732757i | −1.04633 | + | 0.0510536i | ||||
\(207\) | 1.43957 | + | 4.01650i | 0.100057 | + | 0.279166i | ||||
\(208\) | 6.20009 | − | 5.42274i | 0.429899 | − | 0.375999i | ||||
\(209\) | 1.79448i | 0.124127i | ||||||||
\(210\) | −8.99554 | + | 9.34631i | −0.620751 | + | 0.644957i | ||||
\(211\) | −4.34903 | −0.299400 | −0.149700 | − | 0.988731i | \(-0.547831\pi\) | ||||
−0.149700 | + | 0.988731i | \(0.547831\pi\) | |||||||
\(212\) | 5.99405 | − | 0.586331i | 0.411673 | − | 0.0402694i | ||||
\(213\) | −10.2249 | − | 22.0688i | −0.700599 | − | 1.51213i | ||||
\(214\) | −7.93624 | + | 0.387233i | −0.542510 | + | 0.0264707i | ||||
\(215\) | −6.77624 | + | 11.7368i | −0.462136 | + | 0.800443i | ||||
\(216\) | 1.80185 | − | 14.5861i | 0.122600 | − | 0.992456i | ||||
\(217\) | −10.1270 | + | 11.4235i | −0.687464 | + | 0.775480i | ||||
\(218\) | 6.83178 | − | 13.2894i | 0.462707 | − | 0.900075i | ||||
\(219\) | 4.02993 | − | 5.72533i | 0.272317 | − | 0.386882i | ||||
\(220\) | 14.0467 | + | 6.37576i | 0.947029 | + | 0.429854i | ||||
\(221\) | −5.85515 | − | 10.1414i | −0.393860 | − | 0.682185i | ||||
\(222\) | 0.747050 | + | 1.42579i | 0.0501387 | + | 0.0956925i | ||||
\(223\) | − | 25.7814i | − | 1.72645i | −0.504820 | − | 0.863225i | \(-0.668441\pi\) | ||
0.504820 | − | 0.863225i | \(-0.331559\pi\) | |||||||
\(224\) | −14.9534 | + | 0.629368i | −0.999115 | + | 0.0420514i | ||||
\(225\) | −2.93262 | − | 0.531976i | −0.195508 | − | 0.0354651i | ||||
\(226\) | 12.1867 | + | 18.9148i | 0.810645 | + | 1.25819i | ||||
\(227\) | −1.40958 | + | 0.813824i | −0.0935574 | + | 0.0540154i | −0.546049 | − | 0.837753i | \(-0.683869\pi\) |
0.452491 | + | 0.891769i | \(0.350535\pi\) | |||||||
\(228\) | −0.795702 | + | 1.40331i | −0.0526966 | + | 0.0929365i | ||||
\(229\) | 12.1735 | + | 7.02837i | 0.804448 | + | 0.464448i | 0.845024 | − | 0.534728i | \(-0.179586\pi\) |
−0.0405764 | + | 0.999176i | \(0.512919\pi\) | |||||||
\(230\) | −3.58053 | − | 1.84066i | −0.236093 | − | 0.121370i | ||||
\(231\) | −16.9137 | − | 5.07366i | −1.11284 | − | 0.333822i | ||||
\(232\) | 3.81646 | + | 25.9068i | 0.250563 | + | 1.70087i | ||||
\(233\) | 15.5827 | + | 8.99668i | 1.02086 | + | 0.589392i | 0.914352 | − | 0.404920i | \(-0.132701\pi\) |
0.106505 | + | 0.994312i | \(0.466034\pi\) | |||||||
\(234\) | 8.66209 | + | 1.13857i | 0.566259 | + | 0.0744309i | ||||
\(235\) | 3.59364 | + | 6.22438i | 0.234424 | + | 0.406033i | ||||
\(236\) | −1.28612 | − | 13.1480i | −0.0837193 | − | 0.855860i | ||||
\(237\) | −0.000874789 | 0.00972357i | −5.68236e−5 | 0.000631614i | ||||||
\(238\) | −3.24183 | + | 21.0293i | −0.210137 | + | 1.36313i | ||||
\(239\) | −16.0533 | −1.03840 | −0.519200 | − | 0.854653i | \(-0.673770\pi\) | ||||
−0.519200 | + | 0.854653i | \(0.673770\pi\) | |||||||
\(240\) | 8.15764 | + | 11.2145i | 0.526574 | + | 0.723893i | ||||
\(241\) | 3.64298 | + | 6.30983i | 0.234665 | + | 0.406452i | 0.959175 | − | 0.282812i | \(-0.0912673\pi\) |
−0.724510 | + | 0.689264i | \(0.757934\pi\) | |||||||
\(242\) | 0.265236 | + | 5.43595i | 0.0170500 | + | 0.349436i | ||||
\(243\) | 12.8782 | − | 8.78358i | 0.826139 | − | 0.563467i | ||||
\(244\) | 15.9737 | − | 11.4305i | 1.02261 | − | 0.731761i | ||||
\(245\) | 1.67988 | + | 13.9103i | 0.107324 | + | 0.888697i | ||||
\(246\) | 11.0474 | − | 17.4433i | 0.704356 | − | 1.11214i | ||||
\(247\) | −0.830491 | − | 0.479484i | −0.0528429 | − | 0.0305089i | ||||
\(248\) | 10.1328 | + | 12.7935i | 0.643433 | + | 0.812385i | ||||
\(249\) | −13.4599 | + | 6.23624i | −0.852988 | + | 0.395205i | ||||
\(250\) | 14.2621 | − | 9.18895i | 0.902012 | − | 0.581160i | ||||
\(251\) | − | 22.3471i | − | 1.41053i | −0.708942 | − | 0.705267i | \(-0.750827\pi\) | ||
0.708942 | − | 0.705267i | \(-0.249173\pi\) | |||||||
\(252\) | −10.9771 | − | 11.4675i | −0.691490 | − | 0.722386i | ||||
\(253\) | − | 5.48036i | − | 0.344547i | ||||||
\(254\) | 13.6658 | + | 21.2105i | 0.857466 | + | 1.33086i | ||||
\(255\) | 17.8886 | − | 8.28814i | 1.12023 | − | 0.519024i | ||||
\(256\) | −2.13068 | + | 15.8575i | −0.133168 | + | 0.991094i | ||||
\(257\) | −2.61954 | − | 1.51239i | −0.163402 | − | 0.0943404i | 0.416069 | − | 0.909333i | \(-0.363408\pi\) |
−0.579471 | + | 0.814993i | \(0.696741\pi\) | |||||||
\(258\) | −14.0112 | − | 8.87375i | −0.872300 | − | 0.552455i | ||||
\(259\) | 1.70336 | + | 0.348318i | 0.105842 | + | 0.0216434i | ||||
\(260\) | −6.70401 | + | 4.79727i | −0.415765 | + | 0.297514i | ||||
\(261\) | −17.9577 | + | 21.1888i | −1.11156 | + | 1.31155i | ||||
\(262\) | −3.43816 | + | 0.167758i | −0.212410 | + | 0.0103641i | ||||
\(263\) | 10.7454 | + | 18.6116i | 0.662590 | + | 1.14764i | 0.979933 | + | 0.199329i | \(0.0638762\pi\) |
−0.317342 | + | 0.948311i | \(0.602790\pi\) | |||||||
\(264\) | −8.49985 | + | 16.8557i | −0.523130 | + | 1.03739i | ||||
\(265\) | −6.02755 | −0.370270 | ||||||||
\(266\) | 0.631148 | + | 1.62413i | 0.0386982 | + | 0.0995821i | ||||
\(267\) | 1.45878 | − | 16.2149i | 0.0892760 | − | 0.992333i | ||||
\(268\) | −15.0590 | + | 1.47305i | −0.919872 | + | 0.0899808i | ||||
\(269\) | 10.9385 | + | 18.9460i | 0.666929 | + | 1.15516i | 0.978758 | + | 0.205017i | \(0.0657250\pi\) |
−0.311829 | + | 0.950138i | \(0.600942\pi\) | |||||||
\(270\) | −3.21592 | + | 14.3530i | −0.195715 | + | 0.873497i | ||||
\(271\) | 9.03323 | + | 5.21534i | 0.548729 | + | 0.316809i | 0.748609 | − | 0.663011i | \(-0.230722\pi\) |
−0.199880 | + | 0.979820i | \(0.564055\pi\) | |||||||
\(272\) | 21.5299 | + | 7.34043i | 1.30544 | + | 0.445079i | ||||
\(273\) | 6.86746 | − | 6.47206i | 0.415637 | − | 0.391707i | ||||
\(274\) | −2.01219 | + | 3.91420i | −0.121561 | + | 0.236465i | ||||
\(275\) | 3.31539 | + | 1.91414i | 0.199925 | + | 0.115427i | ||||
\(276\) | 2.43009 | − | 4.28574i | 0.146274 | − | 0.257971i | ||||
\(277\) | 18.7719 | − | 10.8380i | 1.12790 | − | 0.651191i | 0.184492 | − | 0.982834i | \(-0.440936\pi\) |
0.943405 | + | 0.331643i | \(0.107603\pi\) | |||||||
\(278\) | −9.45706 | + | 6.09312i | −0.567197 | + | 0.365441i | ||||
\(279\) | −3.08962 | + | 17.0321i | −0.184971 | + | 1.01969i | ||||
\(280\) | 14.9558 | + | 0.830071i | 0.893779 | + | 0.0496062i | ||||
\(281\) | − | 8.35022i | − | 0.498132i | −0.968487 | − | 0.249066i | \(-0.919876\pi\) | ||
0.968487 | − | 0.249066i | \(-0.0801236\pi\) | |||||||
\(282\) | −7.79081 | + | 4.08205i | −0.463936 | + | 0.243082i | ||||
\(283\) | −11.3999 | − | 19.7453i | −0.677656 | − | 1.17374i | −0.975685 | − | 0.219178i | \(-0.929662\pi\) |
0.298028 | − | 0.954557i | \(-0.403671\pi\) | |||||||
\(284\) | −11.6080 | + | 25.5740i | −0.688807 | + | 1.51754i | ||||
\(285\) | 0.929295 | − | 1.32025i | 0.0550467 | − | 0.0782050i | ||||
\(286\) | −9.98022 | − | 5.13058i | −0.590143 | − | 0.303378i | ||||
\(287\) | −7.05538 | − | 21.1562i | −0.416466 | − | 1.24881i | ||||
\(288\) | −14.1211 | + | 9.41244i | −0.832095 | + | 0.554633i | ||||
\(289\) | 7.66938 | − | 13.2838i | 0.451140 | − | 0.781398i | ||||
\(290\) | −1.27723 | − | 26.1766i | −0.0750017 | − | 1.53714i | ||||
\(291\) | −3.03854 | − | 6.55821i | −0.178122 | − | 0.384449i | ||||
\(292\) | −8.04613 | + | 0.787063i | −0.470864 | + | 0.0460594i | ||||
\(293\) | −6.51811 | −0.380792 | −0.190396 | − | 0.981707i | \(-0.560977\pi\) | ||||
−0.190396 | + | 0.981707i | \(0.560977\pi\) | |||||||
\(294\) | −17.0927 | + | 1.35681i | −0.996864 | + | 0.0791306i | ||||
\(295\) | 13.2215i | 0.769784i | ||||||||
\(296\) | 0.684812 | − | 1.72790i | 0.0398039 | − | 0.100432i | ||||
\(297\) | −19.3781 | + | 5.03950i | −1.12443 | + | 0.292421i | ||||
\(298\) | −0.727389 | − | 14.9077i | −0.0421365 | − | 0.863577i | ||||
\(299\) | 2.53633 | + | 1.46435i | 0.146680 | + | 0.0846858i | ||||
\(300\) | 1.74393 | + | 2.96699i | 0.100686 | + | 0.171299i | ||||
\(301\) | −16.9936 | + | 5.66719i | −0.979496 | + | 0.326652i | ||||
\(302\) | 11.3844 | − | 22.1454i | 0.655098 | − | 1.27432i | ||||
\(303\) | 10.5216 | − | 14.9481i | 0.604452 | − | 0.858747i | ||||
\(304\) | 1.82746 | − | 0.360973i | 0.104812 | − | 0.0207032i | ||||
\(305\) | −17.0244 | + | 9.82906i | −0.974817 | + | 0.562811i | ||||
\(306\) | 9.23747 | + | 22.2883i | 0.528071 | + | 1.27414i | ||||
\(307\) | −12.7577 | −0.728122 | −0.364061 | − | 0.931375i | \(-0.618610\pi\) | ||||
−0.364061 | + | 0.931375i | \(0.618610\pi\) | |||||||
\(308\) | 8.30308 | + | 18.6229i | 0.473112 | + | 1.06114i | ||||
\(309\) | −1.65003 | + | 18.3406i | −0.0938669 | + | 1.04336i | ||||
\(310\) | −8.84635 | − | 13.7303i | −0.502439 | − | 0.779829i | ||||
\(311\) | −4.72369 | − | 8.18167i | −0.267856 | − | 0.463940i | 0.700452 | − | 0.713699i | \(-0.252982\pi\) |
−0.968308 | + | 0.249760i | \(0.919648\pi\) | |||||||
\(312\) | −5.52971 | − | 8.43760i | −0.313058 | − | 0.477685i | ||||
\(313\) | 2.87628 | − | 4.98187i | 0.162577 | − | 0.281592i | −0.773215 | − | 0.634144i | \(-0.781353\pi\) |
0.935792 | + | 0.352552i | \(0.114686\pi\) | |||||||
\(314\) | 1.59226 | − | 3.09733i | 0.0898565 | − | 0.174792i | ||||
\(315\) | 9.81649 | + | 12.4919i | 0.553097 | + | 0.703836i | ||||
\(316\) | 0.00916773 | − | 0.00656026i | 0.000515725 | − | 0.000369043i | ||||
\(317\) | 6.69015 | − | 11.5877i | 0.375756 | − | 0.650829i | −0.614684 | − | 0.788774i | \(-0.710716\pi\) |
0.990440 | + | 0.137945i | \(0.0440496\pi\) | |||||||
\(318\) | 0.302118 | − | 7.37003i | 0.0169420 | − | 0.413291i | ||||
\(319\) | 30.8959 | − | 17.8378i | 1.72984 | − | 0.998723i | ||||
\(320\) | 3.66733 | − | 15.5874i | 0.205010 | − | 0.871362i | ||||
\(321\) | −0.871974 | + | 9.69229i | −0.0486688 | + | 0.540971i | ||||
\(322\) | −1.92754 | − | 4.96013i | −0.107417 | − | 0.276417i | ||||
\(323\) | − | 2.64826i | − | 0.147353i | ||||||
\(324\) | −17.3886 | − | 4.65159i | −0.966032 | − | 0.258422i | ||||
\(325\) | −1.77174 | + | 1.02292i | −0.0982787 | + | 0.0567412i | ||||
\(326\) | −0.666311 | − | 13.6559i | −0.0369035 | − | 0.756329i | ||||
\(327\) | −14.9654 | − | 10.5338i | −0.827588 | − | 0.582520i | ||||
\(328\) | −23.5869 | + | 3.47471i | −1.30237 | + | 0.191859i | ||||
\(329\) | −1.90329 | + | 9.30756i | −0.104932 | + | 0.513142i | ||||
\(330\) | 10.1087 | − | 15.9611i | 0.556463 | − | 0.878628i | ||||
\(331\) | 2.24337 | − | 3.88563i | 0.123307 | − | 0.213573i | −0.797763 | − | 0.602971i | \(-0.793983\pi\) |
0.921070 | + | 0.389398i | \(0.127317\pi\) | |||||||
\(332\) | 15.5978 | + | 7.07978i | 0.856038 | + | 0.388554i | ||||
\(333\) | 1.85580 | − | 0.665145i | 0.101697 | − | 0.0364497i | ||||
\(334\) | −15.1434 | + | 9.75676i | −0.828607 | + | 0.533866i | ||||
\(335\) | 15.1431 | 0.827358 | ||||||||
\(336\) | −1.76457 | + | 18.2452i | −0.0962654 | + | 0.995356i | ||||
\(337\) | −9.02628 | −0.491693 | −0.245846 | − | 0.969309i | \(-0.579066\pi\) | ||||
−0.245846 | + | 0.969309i | \(0.579066\pi\) | |||||||
\(338\) | −10.4136 | + | 6.70941i | −0.566425 | + | 0.364944i | ||||
\(339\) | 25.0043 | − | 11.5850i | 1.35805 | − | 0.629209i | ||||
\(340\) | −20.7299 | − | 9.40924i | −1.12424 | − | 0.510288i | ||||
\(341\) | 11.1170 | − | 19.2552i | 0.602019 | − | 1.04273i | ||||
\(342\) | 1.56772 | + | 1.20245i | 0.0847728 | + | 0.0650208i | ||||
\(343\) | −10.5355 | + | 15.2317i | −0.568863 | + | 0.822432i | ||||
\(344\) | 2.79104 | + | 18.9461i | 0.150483 | + | 1.02150i | ||||
\(345\) | −2.83808 | + | 4.03208i | −0.152797 | + | 0.217080i | ||||
\(346\) | 0.809831 | + | 16.5973i | 0.0435368 | + | 0.892275i | ||||
\(347\) | 0.882015 | − | 0.509232i | 0.0473491 | − | 0.0273370i | −0.476139 | − | 0.879370i | \(-0.657964\pi\) |
0.523488 | + | 0.852033i | \(0.324631\pi\) | |||||||
\(348\) | 32.0707 | − | 0.249657i | 1.71917 | − | 0.0133830i | ||||
\(349\) | − | 9.91220i | − | 0.530588i | −0.964168 | − | 0.265294i | \(-0.914531\pi\) | ||
0.964168 | − | 0.265294i | \(-0.0854690\pi\) | |||||||
\(350\) | 3.67391 | + | 0.566360i | 0.196379 | + | 0.0302732i | ||||
\(351\) | 2.84552 | − | 10.3148i | 0.151883 | − | 0.550564i | ||||
\(352\) | 21.1534 | − | 5.26123i | 1.12748 | − | 0.280425i | ||||
\(353\) | 20.6381 | − | 11.9154i | 1.09845 | − | 0.634192i | 0.162638 | − | 0.986686i | \(-0.448000\pi\) |
0.935814 | + | 0.352494i | \(0.114666\pi\) | |||||||
\(354\) | −16.1662 | − | 0.662698i | −0.859224 | − | 0.0352220i | ||||
\(355\) | 14.0540 | − | 24.3422i | 0.745909 | − | 1.29195i | ||||
\(356\) | −15.2879 | + | 10.9398i | −0.810259 | + | 0.579807i | ||||
\(357\) | 24.9610 | + | 7.48761i | 1.32107 | + | 0.396286i | ||||
\(358\) | −6.64436 | + | 12.9249i | −0.351165 | + | 0.683100i | ||||
\(359\) | 1.66057 | − | 2.87619i | 0.0876414 | − | 0.151799i | −0.818872 | − | 0.573976i | \(-0.805400\pi\) |
0.906514 | + | 0.422176i | \(0.138734\pi\) | |||||||
\(360\) | 14.9826 | − | 7.99947i | 0.789650 | − | 0.421609i | ||||
\(361\) | 9.39157 | + | 16.2667i | 0.494293 | + | 0.856140i | ||||
\(362\) | −3.64864 | − | 5.66301i | −0.191768 | − | 0.297641i | ||||
\(363\) | 6.63876 | + | 0.597261i | 0.348445 | + | 0.0313481i | ||||
\(364\) | −10.8374 | − | 1.13335i | −0.568032 | − | 0.0594035i | ||||
\(365\) | 8.09111 | 0.423508 | ||||||||
\(366\) | −11.1649 | − | 21.3088i | −0.583599 | − | 1.11383i | ||||
\(367\) | −6.76756 | + | 3.90725i | −0.353264 | + | 0.203957i | −0.666122 | − | 0.745843i | \(-0.732047\pi\) |
0.312858 | + | 0.949800i | \(0.398714\pi\) | |||||||
\(368\) | −5.58108 | + | 1.10242i | −0.290934 | + | 0.0574675i | ||||
\(369\) | −19.2914 | − | 16.3497i | −1.00427 | − | 0.851129i | ||||
\(370\) | −0.850468 | + | 1.65436i | −0.0442137 | + | 0.0860063i | ||||
\(371\) | −5.96184 | − | 5.28518i | −0.309524 | − | 0.274393i | ||||
\(372\) | 17.2318 | − | 10.1284i | 0.893426 | − | 0.525135i | ||||
\(373\) | 27.0847 | + | 15.6374i | 1.40239 | + | 0.809673i | 0.994638 | − | 0.103418i | \(-0.0329779\pi\) |
0.407756 | + | 0.913091i | \(0.366311\pi\) | |||||||
\(374\) | −1.51028 | − | 30.9528i | −0.0780946 | − | 1.60053i | ||||
\(375\) | −8.73525 | − | 18.8536i | −0.451086 | − | 0.973598i | ||||
\(376\) | 9.44162 | + | 3.74197i | 0.486914 | + | 0.192977i | ||||
\(377\) | 19.0650i | 0.981898i | ||||||||
\(378\) | −15.7661 | + | 11.3767i | −0.810921 | + | 0.585155i | ||||
\(379\) | 19.1714 | 0.984768 | 0.492384 | − | 0.870378i | \(-0.336126\pi\) | ||||
0.492384 | + | 0.870378i | \(0.336126\pi\) | |||||||
\(380\) | −1.85543 | + | 0.181496i | −0.0951813 | + | 0.00931052i | ||||
\(381\) | 28.0390 | − | 12.9910i | 1.43648 | − | 0.665550i | ||||
\(382\) | 0.164718 | + | 3.37585i | 0.00842768 | + | 0.172723i | ||||
\(383\) | −13.9774 | + | 24.2095i | −0.714209 | + | 1.23705i | 0.249054 | + | 0.968490i | \(0.419880\pi\) |
−0.963264 | + | 0.268558i | \(0.913453\pi\) | |||||||
\(384\) | 18.8753 | + | 5.26542i | 0.963224 | + | 0.268700i | ||||
\(385\) | −6.45587 | − | 19.3585i | −0.329021 | − | 0.986602i | ||||
\(386\) | 8.00257 | + | 4.11392i | 0.407320 | + | 0.209393i | ||||
\(387\) | −13.1328 | + | 15.4957i | −0.667576 | + | 0.787690i | ||||
\(388\) | −3.44955 | + | 7.59985i | −0.175124 | + | 0.385824i | ||||
\(389\) | −7.27120 | − | 12.5941i | −0.368664 | − | 0.638545i | 0.620693 | − | 0.784054i | \(-0.286851\pi\) |
−0.989357 | + | 0.145509i | \(0.953518\pi\) | |||||||
\(390\) | 4.68581 | + | 8.94313i | 0.237275 | + | 0.452853i | ||||
\(391\) | 8.08782i | 0.409019i | ||||||||
\(392\) | 14.0649 | + | 13.9348i | 0.710385 | + | 0.703813i | ||||
\(393\) | −0.377759 | + | 4.19892i | −0.0190554 | + | 0.211808i | ||||
\(394\) | −20.0972 | + | 12.9485i | −1.01248 | + | 0.652337i | ||||
\(395\) | −0.00977078 | + | 0.00564117i | −0.000491622 | + | 0.000283838i | ||||
\(396\) | 19.0093 | + | 13.1601i | 0.955253 | + | 0.661320i | ||||
\(397\) | −31.2547 | − | 18.0449i | −1.56863 | − | 0.905647i | −0.996330 | − | 0.0856008i | \(-0.972719\pi\) |
−0.572297 | − | 0.820046i | \(-0.693948\pi\) | |||||||
\(398\) | 8.39722 | − | 16.3346i | 0.420915 | − | 0.818780i | ||||
\(399\) | 2.07681 | − | 0.491020i | 0.103971 | − | 0.0245818i | ||||
\(400\) | 1.28240 | − | 3.76136i | 0.0641201 | − | 0.188068i | ||||
\(401\) | 2.65616 | + | 1.53353i | 0.132642 | + | 0.0765811i | 0.564853 | − | 0.825192i | \(-0.308933\pi\) |
−0.432211 | + | 0.901773i | \(0.642266\pi\) | |||||||
\(402\) | −0.759018 | + | 18.5159i | −0.0378564 | + | 0.923487i | ||||
\(403\) | 5.94093 | + | 10.2900i | 0.295939 | + | 0.512581i | ||||
\(404\) | −21.0074 | + | 2.05492i | −1.04516 | + | 0.102236i | ||||
\(405\) | 16.8668 | + | 6.32749i | 0.838120 | + | 0.314415i | ||||
\(406\) | 21.6892 | − | 27.0111i | 1.07642 | − | 1.34054i | ||||
\(407\) | −2.53217 | −0.125515 | ||||||||
\(408\) | 12.5439 | − | 24.8753i | 0.621017 | − | 1.23151i | ||||
\(409\) | −13.6122 | − | 23.5770i | −0.673080 | − | 1.16581i | −0.977026 | − | 0.213119i | \(-0.931638\pi\) |
0.303947 | − | 0.952689i | \(-0.401696\pi\) | |||||||
\(410\) | 23.8325 | − | 1.16286i | 1.17700 | − | 0.0574296i | ||||
\(411\) | 4.40782 | + | 3.10256i | 0.217422 | + | 0.153038i | ||||
\(412\) | 17.2922 | − | 12.3740i | 0.851925 | − | 0.609622i | ||||
\(413\) | −11.5931 | + | 13.0773i | −0.570457 | + | 0.643494i | ||||
\(414\) | −4.78786 | − | 3.67229i | −0.235310 | − | 0.180483i | ||||
\(415\) | −14.8465 | − | 8.57162i | −0.728785 | − | 0.420764i | ||||
\(416\) | −3.21728 | + | 11.1957i | −0.157740 | + | 0.548914i | ||||
\(417\) | 5.79228 | + | 12.5017i | 0.283649 | + | 0.612211i | ||||
\(418\) | −1.37449 | − | 2.13332i | −0.0672284 | − | 0.104344i | ||||
\(419\) | − | 8.16587i | − | 0.398929i | −0.979905 | − | 0.199465i | \(-0.936080\pi\) | ||
0.979905 | − | 0.199465i | \(-0.0639203\pi\) | |||||||
\(420\) | 3.53531 | − | 18.0013i | 0.172505 | − | 0.878376i | ||||
\(421\) | 7.30698i | 0.356121i | 0.984020 | + | 0.178060i | \(0.0569822\pi\) | ||||
−0.984020 | + | 0.178060i | \(0.943018\pi\) | |||||||
\(422\) | 5.17026 | − | 3.33116i | 0.251684 | − | 0.162158i | ||||
\(423\) | 3.63450 | + | 10.1405i | 0.176715 | + | 0.493049i | ||||
\(424\) | −6.67679 | + | 5.28821i | −0.324254 | + | 0.256818i | ||||
\(425\) | −4.89279 | − | 2.82485i | −0.237335 | − | 0.137026i | ||||
\(426\) | 29.0594 | + | 18.4042i | 1.40793 | + | 0.891689i | ||||
\(427\) | −25.4573 | − | 5.20573i | −1.23197 | − | 0.251923i | ||||
\(428\) | 9.13822 | − | 6.53915i | 0.441713 | − | 0.316082i | ||||
\(429\) | −7.91075 | + | 11.2388i | −0.381935 | + | 0.542616i | ||||
\(430\) | −0.934060 | − | 19.1433i | −0.0450444 | − | 0.923174i | ||||
\(431\) | −1.44464 | − | 2.50219i | −0.0695858 | − | 0.120526i | 0.829133 | − | 0.559051i | \(-0.188834\pi\) |
−0.898719 | + | 0.438525i | \(0.855501\pi\) | |||||||
\(432\) | 9.03017 | + | 18.7205i | 0.434464 | + | 0.900689i | ||||
\(433\) | 23.0768 | 1.10900 | 0.554499 | − | 0.832184i | \(-0.312910\pi\) | ||||
0.554499 | + | 0.832184i | \(0.312910\pi\) | |||||||
\(434\) | 3.28932 | − | 21.3374i | 0.157893 | − | 1.02423i | ||||
\(435\) | −31.9686 | − | 2.87608i | −1.53278 | − | 0.137898i | ||||
\(436\) | 2.05730 | + | 21.0317i | 0.0985267 | + | 1.00724i | ||||
\(437\) | 0.331160 | + | 0.573586i | 0.0158415 | + | 0.0274384i | ||||
\(438\) | −0.405550 | + | 9.89318i | −0.0193779 | + | 0.472715i | ||||
\(439\) | 2.57178 | + | 1.48482i | 0.122744 | + | 0.0708664i | 0.560115 | − | 0.828415i | \(-0.310757\pi\) |
−0.437371 | + | 0.899281i | \(0.644090\pi\) | |||||||
\(440\) | −21.5827 | + | 3.17945i | −1.02891 | + | 0.151574i | ||||
\(441\) | −1.24384 | + | 20.9631i | −0.0592304 | + | 0.998244i | ||||
\(442\) | 14.7286 | + | 7.57163i | 0.700569 | + | 0.360146i | ||||
\(443\) | −17.0338 | − | 9.83448i | −0.809301 | − | 0.467250i | 0.0374121 | − | 0.999300i | \(-0.488089\pi\) |
−0.846713 | + | 0.532050i | \(0.821422\pi\) | |||||||
\(444\) | −1.98020 | − | 1.12281i | −0.0939762 | − | 0.0532861i | ||||
\(445\) | 16.2936 | − | 9.40711i | 0.772390 | − | 0.445940i | ||||
\(446\) | 19.7474 | + | 30.6497i | 0.935065 | + | 1.45130i | ||||
\(447\) | −18.2063 | − | 1.63794i | −0.861127 | − | 0.0774719i | ||||
\(448\) | 17.2950 | − | 12.2018i | 0.817110 | − | 0.576482i | ||||
\(449\) | 36.3243i | 1.71425i | 0.515111 | + | 0.857124i | \(0.327751\pi\) | ||||
−0.515111 | + | 0.857124i | \(0.672249\pi\) | |||||||
\(450\) | 3.89385 | − | 1.61382i | 0.183558 | − | 0.0760763i | ||||
\(451\) | 16.2404 | + | 28.1293i | 0.764733 | + | 1.32456i | ||||
\(452\) | −28.9757 | − | 13.1520i | −1.36290 | − | 0.618618i | ||||
\(453\) | −24.9381 | − | 17.5534i | −1.17170 | − | 0.824730i | ||||
\(454\) | 1.05240 | − | 2.04717i | 0.0493917 | − | 0.0960786i | ||||
\(455\) | 10.6842 | + | 2.18480i | 0.500884 | + | 0.102425i | ||||
\(456\) | −0.128919 | − | 2.27777i | −0.00603721 | − | 0.106666i | ||||
\(457\) | −13.7632 | + | 23.8385i | −0.643814 | + | 1.11512i | 0.340760 | + | 0.940150i | \(0.389316\pi\) |
−0.984574 | + | 0.174968i | \(0.944018\pi\) | |||||||
\(458\) | −19.8556 | + | 0.968815i | −0.927792 | + | 0.0452697i | ||||
\(459\) | 28.5978 | − | 7.43720i | 1.33483 | − | 0.347139i | ||||
\(460\) | 5.66650 | − | 0.554290i | 0.264202 | − | 0.0258439i | ||||
\(461\) | −19.4067 | −0.903861 | −0.451931 | − | 0.892053i | \(-0.649265\pi\) | ||||
−0.451931 | + | 0.892053i | \(0.649265\pi\) | |||||||
\(462\) | 23.9937 | − | 6.92343i | 1.11629 | − | 0.322107i | ||||
\(463\) | 8.27807i | 0.384715i | 0.981325 | + | 0.192357i | \(0.0616132\pi\) | ||||
−0.981325 | + | 0.192357i | \(0.938387\pi\) | |||||||
\(464\) | −24.3806 | − | 27.8755i | −1.13184 | − | 1.29409i | ||||
\(465\) | −18.1507 | + | 8.40957i | −0.841719 | + | 0.389984i | ||||
\(466\) | −25.4162 | + | 1.24013i | −1.17738 | + | 0.0574481i | ||||
\(467\) | −13.6618 | − | 7.88767i | −0.632194 | − | 0.364998i | 0.149407 | − | 0.988776i | \(-0.452264\pi\) |
−0.781601 | + | 0.623778i | \(0.785597\pi\) | |||||||
\(468\) | −11.1698 | + | 5.28120i | −0.516326 | + | 0.244123i | ||||
\(469\) | 14.9781 | + | 13.2780i | 0.691622 | + | 0.613123i | ||||
\(470\) | −9.03982 | − | 4.64715i | −0.416976 | − | 0.214357i | ||||
\(471\) | −3.48794 | − | 2.45508i | −0.160716 | − | 0.113124i | ||||
\(472\) | 11.5997 | + | 14.6456i | 0.533921 | + | 0.674118i | ||||
\(473\) | 22.5947 | − | 13.0450i | 1.03890 | − | 0.599812i | ||||
\(474\) | −0.00640784 | − | 0.0122297i | −0.000294322 | − | 0.000561729i | ||||
\(475\) | −0.462661 | −0.0212283 | ||||||||
\(476\) | −12.2535 | − | 27.4834i | −0.561640 | − | 1.25970i | ||||
\(477\) | −8.88892 | − | 1.61245i | −0.406996 | − | 0.0738289i | ||||
\(478\) | 19.0846 | − | 12.2961i | 0.872908 | − | 0.562409i | ||||
\(479\) | −6.21288 | − | 10.7610i | −0.283874 | − | 0.491684i | 0.688462 | − | 0.725273i | \(-0.258286\pi\) |
−0.972335 | + | 0.233589i | \(0.924953\pi\) | |||||||
\(480\) | −18.2878 | − | 7.08375i | −0.834722 | − | 0.323327i | ||||
\(481\) | 0.676597 | − | 1.17190i | 0.0308502 | − | 0.0534340i | ||||
\(482\) | −9.16393 | − | 4.71095i | −0.417405 | − | 0.214578i | ||||
\(483\) | −6.34261 | + | 1.49959i | −0.288599 | + | 0.0682335i | ||||
\(484\) | −4.47901 | − | 6.25926i | −0.203591 | − | 0.284512i | ||||
\(485\) | 4.17643 | − | 7.23379i | 0.189642 | − | 0.328470i | ||||
\(486\) | −8.58218 | + | 20.3063i | −0.389296 | + | 0.921113i | ||||
\(487\) | 13.8846 | − | 8.01628i | 0.629172 | − | 0.363252i | −0.151260 | − | 0.988494i | \(-0.548333\pi\) |
0.780431 | + | 0.625242i | \(0.215000\pi\) | |||||||
\(488\) | −10.2347 | + | 25.8240i | −0.463305 | + | 1.16900i | ||||
\(489\) | −16.6775 | − | 1.50040i | −0.754183 | − | 0.0678506i | ||||
\(490\) | −12.6518 | − | 15.2503i | −0.571548 | − | 0.688937i | ||||
\(491\) | 9.44091i | 0.426062i | 0.977045 | + | 0.213031i | \(0.0683336\pi\) | ||||
−0.977045 | + | 0.213031i | \(0.931666\pi\) | |||||||
\(492\) | 0.227301 | + | 29.1989i | 0.0102475 | + | 1.31639i | ||||
\(493\) | −45.5956 | + | 26.3247i | −2.05352 | + | 1.18560i | ||||
\(494\) | 1.35457 | − | 0.0660937i | 0.0609452 | − | 0.00297370i | ||||
\(495\) | −17.6521 | − | 14.9604i | −0.793405 | − | 0.672419i | ||||
\(496\) | −21.8454 | − | 7.44797i | −0.980886 | − | 0.334424i | ||||
\(497\) | 35.2449 | − | 11.7538i | 1.58095 | − | 0.527231i | ||||
\(498\) | 11.2249 | − | 17.7235i | 0.502998 | − | 0.794209i | ||||
\(499\) | 15.9322 | − | 27.5954i | 0.713225 | − | 1.23534i | −0.250415 | − | 0.968139i | \(-0.580567\pi\) |
0.963640 | − | 0.267203i | \(-0.0860995\pi\) | |||||||
\(500\) | −9.91683 | + | 21.8482i | −0.443494 | + | 0.977080i | ||||
\(501\) | 9.27503 | + | 20.0187i | 0.414378 | + | 0.894368i | ||||
\(502\) | 17.1168 | + | 26.5668i | 0.763961 | + | 1.18574i | ||||
\(503\) | −5.16274 | −0.230195 | −0.115098 | − | 0.993354i | \(-0.536718\pi\) | ||||
−0.115098 | + | 0.993354i | \(0.536718\pi\) | |||||||
\(504\) | 21.8335 | + | 5.22498i | 0.972539 | + | 0.232739i | ||||
\(505\) | 21.1248 | 0.940043 | ||||||||
\(506\) | 4.19771 | + | 6.51521i | 0.186611 | + | 0.289636i | ||||
\(507\) | 6.37814 | + | 13.7662i | 0.283263 | + | 0.611378i | ||||
\(508\) | −32.4925 | − | 14.7483i | −1.44162 | − | 0.654348i | ||||
\(509\) | 1.78554 | − | 3.09264i | 0.0791426 | − | 0.137079i | −0.823738 | − | 0.566971i | \(-0.808115\pi\) |
0.902880 | + | 0.429892i | \(0.141448\pi\) | |||||||
\(510\) | −14.9182 | + | 23.5551i | −0.660588 | + | 1.04304i | ||||
\(511\) | 8.00290 | + | 7.09458i | 0.354028 | + | 0.313846i | ||||
\(512\) | −9.61311 | − | 20.4839i | −0.424843 | − | 0.905267i | ||||
\(513\) | 1.72363 | − | 1.69840i | 0.0761001 | − | 0.0749861i | ||||
\(514\) | 4.27261 | − | 0.208473i | 0.188457 | − | 0.00919536i | ||||
\(515\) | −18.4297 | + | 10.6404i | −0.812109 | + | 0.468871i | ||||
\(516\) | 23.4538 | − | 0.182578i | 1.03250 | − | 0.00803754i | ||||
\(517\) | − | 13.8363i | − | 0.608522i | ||||||
\(518\) | −2.29180 | + | 0.890608i | −0.100696 | + | 0.0391311i | ||||
\(519\) | 20.2698 | + | 1.82358i | 0.889743 | + | 0.0800464i | ||||
\(520\) | 4.29543 | − | 10.8381i | 0.188367 | − | 0.475282i | ||||
\(521\) | 5.95306 | − | 3.43700i | 0.260808 | − | 0.150578i | −0.363895 | − | 0.931440i | \(-0.618553\pi\) |
0.624703 | + | 0.780862i | \(0.285220\pi\) | |||||||
\(522\) | 5.11901 | − | 38.9446i | 0.224053 | − | 1.70456i | ||||
\(523\) | −6.59397 | + | 11.4211i | −0.288334 | + | 0.499410i | −0.973412 | − | 0.229060i | \(-0.926435\pi\) |
0.685078 | + | 0.728470i | \(0.259768\pi\) | |||||||
\(524\) | 3.95889 | − | 2.83291i | 0.172945 | − | 0.123756i | ||||
\(525\) | 1.30812 | − | 4.36078i | 0.0570908 | − | 0.190320i | ||||
\(526\) | −27.0301 | − | 13.8955i | −1.17857 | − | 0.605873i | ||||
\(527\) | −16.4063 | + | 28.4165i | −0.714668 | + | 1.23784i | ||||
\(528\) | −2.80580 | − | 26.5490i | −0.122107 | − | 1.15540i | ||||
\(529\) | 10.4886 | + | 18.1668i | 0.456027 | + | 0.789863i | ||||
\(530\) | 7.16573 | − | 4.61683i | 0.311259 | − | 0.200542i | ||||
\(531\) | −3.53691 | + | 19.4979i | −0.153489 | + | 0.846137i | ||||
\(532\) | −1.99434 | − | 1.44739i | −0.0864656 | − | 0.0627522i | ||||
\(533\) | −17.3578 | −0.751850 | ||||||||
\(534\) | 10.6856 | + | 20.3940i | 0.462411 | + | 0.882537i | ||||
\(535\) | −9.73934 | + | 5.62301i | −0.421069 | + | 0.243104i | ||||
\(536\) | 16.7742 | − | 13.2857i | 0.724536 | − | 0.573854i | ||||
\(537\) | 14.5548 | + | 10.2448i | 0.628087 | + | 0.442096i | ||||
\(538\) | −27.5157 | − | 14.1451i | −1.18629 | − | 0.609840i | ||||
\(539\) | 10.5888 | − | 24.8082i | 0.456091 | − | 1.06857i | ||||
\(540\) | −7.17059 | − | 19.5265i | −0.308573 | − | 0.840288i | ||||
\(541\) | −2.61534 | − | 1.50996i | −0.112442 | − | 0.0649185i | 0.442724 | − | 0.896658i | \(-0.354012\pi\) |
−0.555166 | + | 0.831739i | \(0.687345\pi\) | |||||||
\(542\) | −14.7337 | + | 0.718900i | −0.632865 | + | 0.0308794i | ||||
\(543\) | −7.48619 | + | 3.46849i | −0.321263 | + | 0.148847i | ||||
\(544\) | −31.2178 | + | 7.76444i | −1.33845 | + | 0.332897i | ||||
\(545\) | − | 21.1493i | − | 0.905936i | ||||||
\(546\) | −3.20693 | + | 12.9543i | −0.137244 | + | 0.554394i | ||||
\(547\) | −8.67520 | −0.370925 | −0.185462 | − | 0.982651i | \(-0.559378\pi\) | ||||
−0.185462 | + | 0.982651i | \(0.559378\pi\) | |||||||
\(548\) | −0.605945 | − | 6.19456i | −0.0258847 | − | 0.264619i | ||||
\(549\) | −27.7356 | + | 9.94081i | −1.18373 | + | 0.424263i | ||||
\(550\) | −5.40757 | + | 0.263852i | −0.230580 | + | 0.0112507i | ||||
\(551\) | −2.15575 | + | 3.73388i | −0.0918382 | + | 0.159068i | ||||
\(552\) | 0.393722 | + | 6.95634i | 0.0167579 | + | 0.296082i | ||||
\(553\) | −0.0146106 | − | 0.00298771i | −0.000621308 | − | 0.000127050i | ||||
\(554\) | −14.0152 | + | 27.2630i | −0.595450 | + | 1.15829i | ||||
\(555\) | 1.86300 | + | 1.31132i | 0.0790799 | + | 0.0556625i | ||||
\(556\) | 6.57577 | − | 14.4874i | 0.278875 | − | 0.614401i | ||||
\(557\) | −3.73163 | − | 6.46337i | −0.158114 | − | 0.273862i | 0.776075 | − | 0.630641i | \(-0.217208\pi\) |
−0.934189 | + | 0.356780i | \(0.883875\pi\) | |||||||
\(558\) | −9.37280 | − | 22.6148i | −0.396782 | − | 0.957361i | ||||
\(559\) | 13.9425i | 0.589707i | ||||||||
\(560\) | −18.4157 | + | 10.4686i | −0.778204 | + | 0.442381i | ||||
\(561\) | −37.8017 | − | 3.40086i | −1.59599 | − | 0.143584i | ||||
\(562\) | 6.39589 | + | 9.92698i | 0.269794 | + | 0.418744i | ||||
\(563\) | −35.8665 | + | 20.7076i | −1.51159 | + | 0.872720i | −0.511687 | + | 0.859172i | \(0.670979\pi\) |
−0.999908 | + | 0.0135474i | \(0.995688\pi\) | |||||||
\(564\) | 6.13527 | − | 10.8203i | 0.258342 | − | 0.455615i | ||||
\(565\) | 27.5801 | + | 15.9234i | 1.16030 | + | 0.669901i | ||||
\(566\) | 28.6766 | + | 14.7419i | 1.20537 | + | 0.619649i | ||||
\(567\) | 11.1348 | + | 21.0480i | 0.467617 | + | 0.883931i | ||||
\(568\) | −5.78864 | − | 39.2943i | −0.242886 | − | 1.64875i | ||||
\(569\) | −29.0674 | − | 16.7821i | −1.21857 | − | 0.703541i | −0.253958 | − | 0.967215i | \(-0.581732\pi\) |
−0.964612 | + | 0.263674i | \(0.915066\pi\) | |||||||
\(570\) | −0.0935191 | + | 2.28135i | −0.00391708 | + | 0.0955553i | ||||
\(571\) | 11.7720 | + | 20.3898i | 0.492645 | + | 0.853286i | 0.999964 | − | 0.00847253i | \(-0.00269692\pi\) |
−0.507319 | + | 0.861758i | \(0.669364\pi\) | |||||||
\(572\) | 15.7946 | − | 1.54501i | 0.660404 | − | 0.0645999i | ||||
\(573\) | 4.12282 | + | 0.370912i | 0.172233 | + | 0.0154951i | ||||
\(574\) | 24.5924 | + | 19.7470i | 1.02647 | + | 0.824226i | ||||
\(575\) | 1.41297 | 0.0589251 | ||||||||
\(576\) | 9.57810 | − | 22.0059i | 0.399087 | − | 0.916913i | ||||
\(577\) | 11.5230 | + | 19.9584i | 0.479708 | + | 0.830879i | 0.999729 | − | 0.0232743i | \(-0.00740910\pi\) |
−0.520021 | + | 0.854154i | \(0.674076\pi\) | |||||||
\(578\) | 1.05717 | + | 21.6665i | 0.0439726 | + | 0.901208i | ||||
\(579\) | 6.34318 | − | 9.01178i | 0.263614 | − | 0.374517i | ||||
\(580\) | 21.5685 | + | 30.1412i | 0.895582 | + | 1.25154i | ||||
\(581\) | −7.16873 | − | 21.4961i | −0.297409 | − | 0.891809i | ||||
\(582\) | 8.63559 | + | 5.46920i | 0.357957 | + | 0.226706i | ||||
\(583\) | 10.0491 | + | 5.80186i | 0.416192 | + | 0.240289i | ||||
\(584\) | 8.96262 | − | 7.09865i | 0.370876 | − | 0.293744i | ||||
\(585\) | 11.6404 | − | 4.17207i | 0.481271 | − | 0.172494i | ||||
\(586\) | 7.74891 | − | 4.99257i | 0.320105 | − | 0.206241i | ||||
\(587\) | 35.2560i | 1.45517i | 0.686017 | + | 0.727585i | \(0.259358\pi\) | ||||
−0.686017 | + | 0.727585i | \(0.740642\pi\) | |||||||
\(588\) | 19.2810 | − | 14.7052i | 0.795135 | − | 0.606433i | ||||
\(589\) | 2.68705i | 0.110718i | ||||||||
\(590\) | −10.1270 | − | 15.7181i | −0.416924 | − | 0.647103i | ||||
\(591\) | 12.3092 | + | 26.5674i | 0.506333 | + | 1.09284i | ||||
\(592\) | 0.509367 | + | 2.57871i | 0.0209348 | + | 0.105984i | ||||
\(593\) | 15.9344 | + | 9.19971i | 0.654346 | + | 0.377787i | 0.790119 | − | 0.612953i | \(-0.210019\pi\) |
−0.135773 | + | 0.990740i | \(0.543352\pi\) | |||||||
\(594\) | 19.1772 | − | 20.8338i | 0.786849 | − | 0.854822i | ||||
\(595\) | 9.52745 | + | 28.5690i | 0.390587 | + | 1.17121i | ||||
\(596\) | 12.2833 | + | 17.1655i | 0.503145 | + | 0.703126i | ||||
\(597\) | −18.3946 | − | 12.9475i | −0.752840 | − | 0.529907i | ||||
\(598\) | −4.13690 | + | 0.201851i | −0.169170 | + | 0.00825432i | ||||
\(599\) | 3.46929 | + | 6.00898i | 0.141751 | + | 0.245520i | 0.928156 | − | 0.372191i | \(-0.121393\pi\) |
−0.786405 | + | 0.617711i | \(0.788060\pi\) | |||||||
\(600\) | −4.34581 | − | 2.19147i | −0.177417 | − | 0.0894666i | ||||
\(601\) | 17.3861 | 0.709194 | 0.354597 | − | 0.935019i | \(-0.384618\pi\) | ||||
0.354597 | + | 0.935019i | \(0.384618\pi\) | |||||||
\(602\) | 15.8617 | − | 19.7537i | 0.646474 | − | 0.805099i | ||||
\(603\) | 22.3318 | + | 4.05098i | 0.909421 | + | 0.164969i | ||||
\(604\) | 3.42825 | + | 35.0470i | 0.139494 | + | 1.42604i | ||||
\(605\) | 3.85150 | + | 6.67099i | 0.156586 | + | 0.271214i | ||||
\(606\) | −1.05884 | + | 25.8298i | −0.0430124 | + | 1.04927i | ||||
\(607\) | −21.1329 | − | 12.2011i | −0.857757 | − | 0.495226i | 0.00550324 | − | 0.999985i | \(-0.498248\pi\) |
−0.863261 | + | 0.504758i | \(0.831582\pi\) | |||||||
\(608\) | −1.89604 | + | 1.82888i | −0.0768947 | + | 0.0741710i | ||||
\(609\) | −29.0983 | − | 30.8760i | −1.17912 | − | 1.25116i | ||||
\(610\) | 12.7105 | − | 24.7250i | 0.514634 | − | 1.00109i | ||||
\(611\) | 6.40352 | + | 3.69707i | 0.259059 | + | 0.149568i | ||||
\(612\) | −28.0536 | − | 19.4214i | −1.13400 | − | 0.785066i | ||||
\(613\) | 7.71712 | − | 4.45548i | 0.311692 | − | 0.179955i | −0.335992 | − | 0.941865i | \(-0.609071\pi\) |
0.647683 | + | 0.761910i | \(0.275738\pi\) | |||||||
\(614\) | 15.1667 | − | 9.77183i | 0.612080 | − | 0.394359i | ||||
\(615\) | 2.61854 | − | 29.1059i | 0.105590 | − | 1.17366i | ||||
\(616\) | −24.1353 | − | 15.7797i | −0.972437 | − | 0.635782i | ||||
\(617\) | − | 43.3713i | − | 1.74606i | −0.487664 | − | 0.873031i | \(-0.662151\pi\) | ||
0.487664 | − | 0.873031i | \(-0.337849\pi\) | |||||||
\(618\) | −12.0865 | − | 23.0677i | −0.486190 | − | 0.927920i | ||||
\(619\) | −18.4061 | − | 31.8804i | −0.739806 | − | 1.28138i | −0.952583 | − | 0.304280i | \(-0.901584\pi\) |
0.212777 | − | 0.977101i | \(-0.431749\pi\) | |||||||
\(620\) | 21.0336 | + | 9.54709i | 0.844729 | + | 0.383420i | ||||
\(621\) | −5.26399 | + | 5.18694i | −0.211237 | + | 0.208145i | ||||
\(622\) | 11.8824 | + | 6.10847i | 0.476442 | + | 0.244927i | ||||
\(623\) | 24.3644 | + | 4.98225i | 0.976141 | + | 0.199610i | ||||
\(624\) | 13.0367 | + | 5.79536i | 0.521886 | + | 0.232000i | ||||
\(625\) | 9.52276 | − | 16.4939i | 0.380910 | − | 0.659756i | ||||
\(626\) | 0.396477 | + | 8.12569i | 0.0158464 | + | 0.324768i | ||||
\(627\) | −2.82014 | + | 1.30662i | −0.112625 | + | 0.0521815i | ||||
\(628\) | 0.479488 | + | 4.90179i | 0.0191336 | + | 0.195603i | ||||
\(629\) | 3.73693 | 0.149001 | ||||||||
\(630\) | −21.2383 | − | 7.33170i | −0.846155 | − | 0.292102i | ||||
\(631\) | − | 23.1113i | − | 0.920045i | −0.887907 | − | 0.460023i | \(-0.847841\pi\) | ||
0.887907 | − | 0.460023i | \(-0.152159\pi\) | |||||||
\(632\) | −0.00587399 | + | 0.0148211i | −0.000233655 | + | 0.000589551i | ||||
\(633\) | −3.16669 | − | 6.83479i | −0.125865 | − | 0.271659i | ||||
\(634\) | 0.922193 | + | 18.9001i | 0.0366250 | + | 0.750620i | ||||
\(635\) | 30.9275 | + | 17.8560i | 1.22732 | + | 0.708593i | ||||
\(636\) | 5.28594 | + | 8.99311i | 0.209601 | + | 0.356600i | ||||
\(637\) | 8.65203 | + | 11.5293i | 0.342806 | + | 0.456807i | ||||
\(638\) | −23.0670 | + | 44.8709i | −0.913233 | + | 1.77646i | ||||
\(639\) | 27.2375 | − | 32.1382i | 1.07750 | − | 1.27137i | ||||
\(640\) | 7.57941 | + | 21.3398i | 0.299603 | + | 0.843528i | ||||
\(641\) | 12.0471 | − | 6.95538i | 0.475831 | − | 0.274721i | −0.242847 | − | 0.970065i | \(-0.578081\pi\) |
0.718677 | + | 0.695344i | \(0.244748\pi\) | |||||||
\(642\) | −6.38722 | − | 12.1904i | −0.252084 | − | 0.481115i | ||||
\(643\) | 13.6551 | 0.538505 | 0.269252 | − | 0.963070i | \(-0.413223\pi\) | ||||
0.269252 | + | 0.963070i | \(0.413223\pi\) | |||||||
\(644\) | 6.09075 | + | 4.42034i | 0.240009 | + | 0.174186i | ||||
\(645\) | −23.3792 | − | 2.10332i | −0.920554 | − | 0.0828183i | ||||
\(646\) | 2.02844 | + | 3.14832i | 0.0798081 | + | 0.123869i | ||||
\(647\) | −15.7948 | − | 27.3574i | −0.620958 | − | 1.07553i | −0.989308 | − | 0.145843i | \(-0.953411\pi\) |
0.368350 | − | 0.929687i | \(-0.379923\pi\) | |||||||
\(648\) | 24.2350 | − | 7.78891i | 0.952039 | − | 0.305977i | ||||
\(649\) | 12.7264 | − | 22.0428i | 0.499556 | − | 0.865256i | ||||
\(650\) | 1.32279 | − | 2.57315i | 0.0518842 | − | 0.100927i | ||||
\(651\) | −25.3267 | − | 7.59731i | −0.992630 | − | 0.297762i | ||||
\(652\) | 11.2519 | + | 15.7241i | 0.440659 | + | 0.615804i | ||||
\(653\) | 15.3505 | − | 26.5879i | 0.600713 | − | 1.04047i | −0.392000 | − | 0.919965i | \(-0.628217\pi\) |
0.992713 | − | 0.120500i | \(-0.0384498\pi\) | |||||||
\(654\) | 25.8597 | + | 1.06006i | 1.01119 | + | 0.0414517i | ||||
\(655\) | −4.21931 | + | 2.43602i | −0.164862 | + | 0.0951832i | ||||
\(656\) | 25.3794 | − | 22.1973i | 0.990897 | − | 0.866661i | ||||
\(657\) | 11.9321 | + | 2.16447i | 0.465514 | + | 0.0844442i | ||||
\(658\) | −4.86648 | − | 12.5229i | −0.189715 | − | 0.488194i | ||||
\(659\) | 20.0419i | 0.780720i | 0.920662 | + | 0.390360i | \(0.127649\pi\) | ||||
−0.920662 | + | 0.390360i | \(0.872351\pi\) | |||||||
\(660\) | 0.207986 | + | 26.7177i | 0.00809585 | + | 1.03999i | ||||
\(661\) | 27.8066 | − | 16.0541i | 1.08155 | − | 0.624434i | 0.150237 | − | 0.988650i | \(-0.451996\pi\) |
0.931314 | + | 0.364216i | \(0.118663\pi\) | |||||||
\(662\) | 0.309234 | + | 6.33767i | 0.0120187 | + | 0.246320i | ||||
\(663\) | 11.6746 | − | 16.5861i | 0.453402 | − | 0.644150i | ||||
\(664\) | −23.9659 | + | 3.53053i | −0.930056 | + | 0.137011i | ||||
\(665\) | 1.84546 | + | 1.63600i | 0.0715637 | + | 0.0634413i | ||||
\(666\) | −1.69676 | + | 2.21220i | −0.0657482 | + | 0.0857212i | ||||
\(667\) | 6.58371 | − | 11.4033i | 0.254922 | − | 0.441538i | ||||
\(668\) | 10.5296 | − | 23.1982i | 0.407403 | − | 0.897567i | ||||
\(669\) | 40.5171 | − | 18.7724i | 1.56648 | − | 0.725781i | ||||
\(670\) | −18.0026 | + | 11.5990i | −0.695501 | + | 0.448107i | ||||
\(671\) | 37.8441 | 1.46096 | ||||||||
\(672\) | −11.8772 | − | 23.0420i | −0.458173 | − | 0.888863i | ||||
\(673\) | −39.5520 | −1.52462 | −0.762308 | − | 0.647214i | \(-0.775934\pi\) | ||||
−0.762308 | + | 0.647214i | \(0.775934\pi\) | |||||||
\(674\) | 10.7307 | − | 6.91372i | 0.413331 | − | 0.266306i | ||||
\(675\) | −1.29931 | − | 4.99615i | −0.0500104 | − | 0.192302i | ||||
\(676\) | 7.24088 | − | 15.9527i | 0.278495 | − | 0.613565i | ||||
\(677\) | −20.5606 | + | 35.6119i | −0.790206 | + | 1.36868i | 0.135633 | + | 0.990759i | \(0.456693\pi\) |
−0.925839 | + | 0.377918i | \(0.876640\pi\) | |||||||
\(678\) | −20.8523 | + | 32.9247i | −0.800826 | + | 1.26446i | ||||
\(679\) | 10.4738 | − | 3.49289i | 0.401946 | − | 0.134045i | ||||
\(680\) | 31.8513 | − | 4.69218i | 1.22144 | − | 0.179937i | ||||
\(681\) | −2.30535 | − | 1.62268i | −0.0883411 | − | 0.0621812i | ||||
\(682\) | 1.53240 | + | 31.4063i | 0.0586788 | + | 1.20261i | ||||
\(683\) | −1.63043 | + | 0.941329i | −0.0623866 | + | 0.0360189i | −0.530869 | − | 0.847454i | \(-0.678134\pi\) |
0.468482 | + | 0.883473i | \(0.344801\pi\) | |||||||
\(684\) | −2.78477 | − | 0.228696i | −0.106478 | − | 0.00874441i | ||||
\(685\) | 6.22919i | 0.238005i | ||||||||
\(686\) | 0.858147 | − | 26.1775i | 0.0327642 | − | 0.999463i | ||||
\(687\) | −2.18159 | + | 24.2491i | −0.0832327 | + | 0.925159i | ||||
\(688\) | −17.8299 | − | 20.3858i | −0.679758 | − | 0.777202i | ||||
\(689\) | −5.37025 | + | 3.10052i | −0.204590 | + | 0.118120i | ||||
\(690\) | 0.285609 | − | 6.96729i | 0.0108729 | − | 0.265240i | ||||
\(691\) | 4.71705 | − | 8.17016i | 0.179445 | − | 0.310808i | −0.762246 | − | 0.647288i | \(-0.775903\pi\) |
0.941691 | + | 0.336480i | \(0.109237\pi\) | |||||||
\(692\) | −13.6755 | − | 19.1110i | −0.519865 | − | 0.726492i | ||||
\(693\) | −4.34190 | − | 30.2753i | −0.164935 | − | 1.15006i | ||||
\(694\) | −0.658517 | + | 1.28097i | −0.0249970 | + | 0.0486251i | ||||
\(695\) | −7.96141 | + | 13.7896i | −0.301993 | + | 0.523068i | ||||
\(696\) | −37.9353 | + | 24.8615i | −1.43794 | + | 0.942373i | ||||
\(697\) | −23.9674 | − | 41.5127i | −0.907829 | − | 1.57241i | ||||
\(698\) | 7.59229 | + | 11.7839i | 0.287372 | + | 0.446027i | ||||
\(699\) | −2.79254 | + | 31.0401i | −0.105624 | + | 1.17404i | ||||
\(700\) | −4.80145 | + | 2.14074i | −0.181478 | + | 0.0809124i | ||||
\(701\) | 23.3839 | 0.883197 | 0.441598 | − | 0.897213i | \(-0.354412\pi\) | ||||
0.441598 | + | 0.897213i | \(0.354412\pi\) | |||||||
\(702\) | 4.51784 | + | 14.4421i | 0.170515 | + | 0.545081i | ||||
\(703\) | 0.265022 | − | 0.153011i | 0.00999551 | − | 0.00577091i | ||||
\(704\) | −21.1179 | + | 22.4573i | −0.795912 | + | 0.846390i | ||||
\(705\) | −7.16535 | + | 10.1798i | −0.269863 | + | 0.383395i | ||||
\(706\) | −15.4085 | + | 29.9732i | −0.579905 | + | 1.12805i | ||||
\(707\) | 20.8946 | + | 18.5230i | 0.785821 | + | 0.696630i | ||||
\(708\) | 19.7264 | − | 11.5947i | 0.741365 | − | 0.435757i | ||||
\(709\) | −19.2646 | − | 11.1224i | −0.723496 | − | 0.417711i | 0.0925419 | − | 0.995709i | \(-0.470501\pi\) |
−0.816038 | + | 0.577998i | \(0.803834\pi\) | |||||||
\(710\) | 1.93725 | + | 39.7035i | 0.0727037 | + | 1.49004i | ||||
\(711\) | −0.0159182 | + | 0.00570530i | −0.000596979 | + | 0.000213965i | ||||
\(712\) | 9.79537 | − | 24.7154i | 0.367097 | − | 0.926248i | ||||
\(713\) | − | 8.20631i | − | 0.307329i | ||||||
\(714\) | −35.4095 | + | 10.2175i | −1.32517 | + | 0.382379i | ||||
\(715\) | −15.8829 | −0.593985 | ||||||||
\(716\) | −2.00086 | − | 20.4547i | −0.0747755 | − | 0.764429i | ||||
\(717\) | −11.6890 | − | 25.2288i | −0.436532 | − | 0.942185i | ||||
\(718\) | 0.228898 | + | 4.69121i | 0.00854240 | + | 0.175074i | ||||
\(719\) | 21.5877 | − | 37.3910i | 0.805086 | − | 1.39445i | −0.111148 | − | 0.993804i | \(-0.535453\pi\) |
0.916233 | − | 0.400645i | \(-0.131214\pi\) | |||||||
\(720\) | −11.6845 | + | 20.9860i | −0.435454 | + | 0.782101i | ||||
\(721\) | −27.5586 | − | 5.63543i | −1.02634 | − | 0.209874i | ||||
\(722\) | −23.6245 | − | 12.1448i | −0.879213 | − | 0.451982i | ||||
\(723\) | −7.26373 | + | 10.3196i | −0.270141 | + | 0.383790i | ||||
\(724\) | 8.67522 | + | 3.93766i | 0.322412 | + | 0.146342i | ||||
\(725\) | 4.59902 | + | 7.96574i | 0.170803 | + | 0.295840i | ||||
\(726\) | −8.34982 | + | 4.37495i | −0.309891 | + | 0.162370i | ||||
\(727\) | − | 18.5349i | − | 0.687423i | −0.939075 | − | 0.343712i | \(-0.888316\pi\) | ||
0.939075 | − | 0.343712i | \(-0.111684\pi\) | |||||||
\(728\) | 13.7518 | − | 6.95356i | 0.509677 | − | 0.257716i | ||||
\(729\) | 23.1811 | + | 13.8433i | 0.858558 | + | 0.512716i | ||||
\(730\) | −9.61894 | + | 6.19742i | −0.356013 | + | 0.229377i | ||||
\(731\) | −33.3448 | + | 19.2516i | −1.23330 | + | 0.712048i | ||||
\(732\) | 29.5948 | + | 16.7807i | 1.09385 | + | 0.620234i | ||||
\(733\) | 7.89497 | + | 4.55816i | 0.291607 | + | 0.168360i | 0.638666 | − | 0.769484i | \(-0.279486\pi\) |
−0.347059 | + | 0.937843i | \(0.612820\pi\) | |||||||
\(734\) | 5.05269 | − | 9.82870i | 0.186498 | − | 0.362784i | ||||
\(735\) | −20.6378 | + | 12.7686i | −0.761236 | + | 0.470979i | ||||
\(736\) | 5.79055 | − | 5.58544i | 0.213442 | − | 0.205882i | ||||
\(737\) | −25.2466 | − | 14.5761i | −0.929970 | − | 0.536919i | ||||
\(738\) | 35.4573 | + | 4.66062i | 1.30520 | + | 0.171560i | ||||
\(739\) | −16.9014 | − | 29.2741i | −0.621728 | − | 1.07686i | −0.989164 | − | 0.146815i | \(-0.953098\pi\) |
0.367436 | − | 0.930049i | \(-0.380236\pi\) | |||||||
\(740\) | −0.256107 | − | 2.61818i | −0.00941468 | − | 0.0962461i | ||||
\(741\) | 0.148830 | − | 1.65430i | 0.00546742 | − | 0.0607723i | ||||
\(742\) | 11.1358 | + | 1.71667i | 0.408809 | + | 0.0630209i | ||||
\(743\) | 19.4548 | 0.713726 | 0.356863 | − | 0.934157i | \(-0.383846\pi\) | ||||
0.356863 | + | 0.934157i | \(0.383846\pi\) | |||||||
\(744\) | −12.7277 | + | 25.2397i | −0.466620 | + | 0.925333i | ||||
\(745\) | −10.5624 | − | 18.2947i | −0.386977 | − | 0.670264i | ||||
\(746\) | −44.1766 | + | 2.15551i | −1.61742 | + | 0.0789188i | ||||
\(747\) | −19.6013 | − | 16.6123i | −0.717174 | − | 0.607813i | ||||
\(748\) | 25.5039 | + | 35.6408i | 0.932515 | + | 1.30316i | ||||
\(749\) | −14.5636 | − | 2.97810i | −0.532143 | − | 0.108817i | ||||
\(750\) | 24.8258 | + | 15.7230i | 0.906508 | + | 0.574121i | ||||
\(751\) | 10.6440 | + | 6.14534i | 0.388407 | + | 0.224247i | 0.681470 | − | 0.731847i | \(-0.261341\pi\) |
−0.293063 | + | 0.956093i | \(0.594675\pi\) | |||||||
\(752\) | −14.0906 | + | 2.78329i | −0.513833 | + | 0.101496i | ||||
\(753\) | 35.1199 | − | 16.2717i | 1.27984 | − | 0.592974i | ||||
\(754\) | −14.6029 | − | 22.6650i | −0.531807 | − | 0.825412i | ||||
\(755\) | − | 35.2429i | − | 1.28262i | ||||||
\(756\) | 10.0292 | − | 25.6011i | 0.364757 | − | 0.931103i | ||||
\(757\) | 10.4294i | 0.379064i | 0.981875 | + | 0.189532i | \(0.0606970\pi\) | ||||
−0.981875 | + | 0.189532i | \(0.939303\pi\) | |||||||
\(758\) | −22.7915 | + | 14.6844i | −0.827824 | + | 0.533362i | ||||
\(759\) | 8.61275 | − | 3.99045i | 0.312623 | − | 0.144844i | ||||
\(760\) | 2.06677 | − | 1.63694i | 0.0749695 | − | 0.0593780i | ||||
\(761\) | 21.5087 | + | 12.4181i | 0.779691 | + | 0.450155i | 0.836321 | − | 0.548241i | \(-0.184702\pi\) |
−0.0566301 | + | 0.998395i | \(0.518036\pi\) | |||||||
\(762\) | −23.3831 | + | 36.9207i | −0.847080 | + | 1.33750i | ||||
\(763\) | 18.5445 | − | 20.9187i | 0.671354 | − | 0.757308i | ||||
\(764\) | −2.78157 | − | 3.88714i | −0.100633 | − | 0.140632i | ||||
\(765\) | 26.0507 | + | 22.0783i | 0.941866 | + | 0.798241i | ||||
\(766\) | −1.92669 | − | 39.4870i | −0.0696140 | − | 1.42672i | ||||
\(767\) | 6.80100 | + | 11.7797i | 0.245570 | + | 0.425340i | ||||
\(768\) | −26.4725 | + | 8.19791i | −0.955245 | + | 0.295817i | ||||
\(769\) | 0.929396 | 0.0335149 | 0.0167574 | − | 0.999860i | \(-0.494666\pi\) | ||||
0.0167574 | + | 0.999860i | \(0.494666\pi\) | |||||||
\(770\) | 22.5027 | + | 18.0691i | 0.810940 | + | 0.651164i | ||||
\(771\) | 0.469442 | − | 5.21800i | 0.0169065 | − | 0.187922i | ||||
\(772\) | −12.6648 | + | 1.23885i | −0.455815 | + | 0.0445873i | ||||
\(773\) | 15.9577 | + | 27.6396i | 0.573959 | + | 0.994127i | 0.996154 | + | 0.0876213i | \(0.0279265\pi\) |
−0.422195 | + | 0.906505i | \(0.638740\pi\) | |||||||
\(774\) | 3.74361 | − | 28.4808i | 0.134561 | − | 1.02372i | ||||
\(775\) | 4.96447 | + | 2.86624i | 0.178329 | + | 0.102958i | ||||
\(776\) | −1.72021 | − | 11.6771i | −0.0617520 | − | 0.419184i | ||||
\(777\) | 0.692875 | + | 2.93057i | 0.0248568 | + | 0.105134i | ||||
\(778\) | 18.2907 | + | 9.40280i | 0.655753 | + | 0.337107i | ||||
\(779\) | −3.39952 | − | 1.96271i | −0.121800 | − | 0.0703215i | ||||
\(780\) | −12.4207 | − | 7.04273i | −0.444731 | − | 0.252170i | ||||
\(781\) | −46.8616 | + | 27.0555i | −1.67684 | + | 0.968123i | ||||
\(782\) | −6.19490 | − | 9.61503i | −0.221529 | − | 0.343833i | ||||
\(783\) | −46.3752 | − | 12.7934i | −1.65732 | − | 0.457200i | ||||
\(784\) | −27.3942 | − | 5.79300i | −0.978364 | − | 0.206893i | ||||
\(785\) | − | 4.92919i | − | 0.175930i | ||||||
\(786\) | −2.76709 | − | 5.28115i | −0.0986989 | − | 0.188372i | ||||
\(787\) | −3.93891 | − | 6.82240i | −0.140407 | − | 0.243192i | 0.787243 | − | 0.616643i | \(-0.211508\pi\) |
−0.927650 | + | 0.373451i | \(0.878174\pi\) | |||||||
\(788\) | 13.9742 | − | 30.7872i | 0.497810 | − | 1.09675i | ||||
\(789\) | −21.4252 | + | 30.4389i | −0.762758 | + | 1.08365i | ||||
\(790\) | 0.00729491 | − | 0.0141904i | 0.000259541 | − | 0.000504870i | ||||
\(791\) | 13.3172 | + | 39.9330i | 0.473506 | + | 1.41985i | ||||
\(792\) | −32.6788 | − | 1.08486i | −1.16119 | − | 0.0385489i | ||||
\(793\) | −10.1120 | + | 17.5144i | −0.359086 | + | 0.621956i | ||||
\(794\) | 50.9780 | − | 2.48737i | 1.80914 | − | 0.0882734i | ||||
\(795\) | −4.38888 | − | 9.47270i | −0.155658 | − | 0.335962i | ||||
\(796\) | 2.52871 | + | 25.8509i | 0.0896277 | + | 0.916262i | ||||
\(797\) | −5.89418 | −0.208782 | −0.104391 | − | 0.994536i | \(-0.533289\pi\) | ||||
−0.104391 | + | 0.994536i | \(0.533289\pi\) | |||||||
\(798\) | −2.09287 | + | 2.17448i | −0.0740869 | + | 0.0769758i | ||||
\(799\) | 20.4194i | 0.722388i | ||||||||
\(800\) | 1.35648 | + | 5.45388i | 0.0479587 | + | 0.192824i | ||||
\(801\) | 26.5449 | − | 9.51405i | 0.937918 | − | 0.336162i | ||||
\(802\) | −4.33234 | + | 0.211388i | −0.152980 | + | 0.00746436i | ||||
\(803\) | −13.4895 | − | 7.78815i | −0.476033 | − | 0.274838i | ||||
\(804\) | −13.2800 | − | 22.5936i | −0.468348 | − | 0.796813i | ||||
\(805\) | −5.63606 | − | 4.99637i | −0.198645 | − | 0.176099i | ||||
\(806\) | −14.9444 | − | 7.68255i | −0.526394 | − | 0.270606i | ||||
\(807\) | −21.8101 | + | 30.9857i | −0.767753 | + | 1.09075i | ||||
\(808\) | 23.4002 | − | 18.5337i | 0.823218 | − | 0.652012i | ||||
\(809\) | −35.6151 | + | 20.5624i | −1.25216 | + | 0.722936i | −0.971538 | − | 0.236882i | \(-0.923874\pi\) |
−0.280623 | + | 0.959818i | \(0.590541\pi\) | |||||||
\(810\) | −24.8983 | + | 5.39693i | −0.874839 | + | 0.189629i | ||||
\(811\) | 17.5373 | 0.615819 | 0.307909 | − | 0.951416i | \(-0.400371\pi\) | ||||
0.307909 | + | 0.951416i | \(0.400371\pi\) | |||||||
\(812\) | −5.09551 | + | 48.7246i | −0.178817 | + | 1.70990i | ||||
\(813\) | −1.61882 | + | 17.9938i | −0.0567746 | + | 0.631069i | ||||
\(814\) | 3.01032 | − | 1.93953i | 0.105512 | − | 0.0679804i | ||||
\(815\) | −9.67551 | − | 16.7585i | −0.338918 | − | 0.587024i | ||||
\(816\) | 4.14075 | + | 39.1805i | 0.144955 | + | 1.37159i | ||||
\(817\) | −1.57654 | + | 2.73064i | −0.0551561 | + | 0.0955331i | ||||
\(818\) | 34.2415 | + | 17.6027i | 1.19723 | + | 0.615464i | ||||
\(819\) | 15.1717 | + | 6.08012i | 0.530142 | + | 0.212457i | ||||
\(820\) | −27.4421 | + | 19.6371i | −0.958320 | + | 0.685756i | ||||
\(821\) | 13.1411 | − | 22.7610i | 0.458626 | − | 0.794364i | −0.540262 | − | 0.841497i | \(-0.681675\pi\) |
0.998889 | + | 0.0471324i | \(0.0150083\pi\) | |||||||
\(822\) | −7.61657 | − | 0.312225i | −0.265658 | − | 0.0108901i | ||||
\(823\) | 10.8805 | − | 6.28189i | 0.379272 | − | 0.218973i | −0.298229 | − | 0.954494i | \(-0.596396\pi\) |
0.677502 | + | 0.735521i | \(0.263063\pi\) | |||||||
\(824\) | −11.0795 | + | 27.9556i | −0.385974 | + | 0.973879i | ||||
\(825\) | −0.594143 | + | 6.60410i | −0.0206854 | + | 0.229925i | ||||
\(826\) | 3.76552 | − | 24.4265i | 0.131019 | − | 0.849906i | ||||
\(827\) | − | 27.2104i | − | 0.946197i | −0.881010 | − | 0.473098i | \(-0.843136\pi\) | ||
0.881010 | − | 0.473098i | \(-0.156864\pi\) | |||||||
\(828\) | 8.50475 | + | 0.698441i | 0.295560 | + | 0.0242725i | ||||
\(829\) | 37.1390 | − | 21.4422i | 1.28989 | − | 0.744718i | 0.311255 | − | 0.950326i | \(-0.399251\pi\) |
0.978634 | + | 0.205608i | \(0.0659172\pi\) | |||||||
\(830\) | 24.2154 | − | 1.18154i | 0.840529 | − | 0.0410119i | ||||
\(831\) | 30.7011 | + | 21.6098i | 1.06501 | + | 0.749636i | ||||
\(832\) | −4.75060 | − | 15.7741i | −0.164698 | − | 0.546867i | ||||
\(833\) | −15.6267 | + | 36.6115i | −0.541434 | + | 1.26851i | ||||
\(834\) | −16.4618 | − | 10.4258i | −0.570024 | − | 0.361015i | ||||
\(835\) | −12.7484 | + | 22.0809i | −0.441177 | + | 0.764140i | ||||
\(836\) | 3.26806 | + | 1.48336i | 0.113028 | + | 0.0513032i | ||||
\(837\) | −29.0168 | + | 7.54616i | −1.00297 | + | 0.260834i | ||||
\(838\) | 6.25469 | + | 9.70783i | 0.216065 | + | 0.335351i | ||||
\(839\) | −43.8842 | −1.51505 | −0.757526 | − | 0.652805i | \(-0.773592\pi\) | ||||
−0.757526 | + | 0.652805i | \(0.773592\pi\) | |||||||
\(840\) | 9.58533 | + | 24.1084i | 0.330725 | + | 0.831819i | ||||
\(841\) | 56.7160 | 1.95572 | ||||||||
\(842\) | −5.59682 | − | 8.68675i | −0.192879 | − | 0.299365i | ||||
\(843\) | 13.1229 | − | 6.08009i | 0.451977 | − | 0.209410i | ||||
\(844\) | −3.59503 | + | 7.92036i | −0.123746 | + | 0.272630i | ||||
\(845\) | −8.76667 | + | 15.1843i | −0.301583 | + | 0.522356i | ||||
\(846\) | −12.0880 | − | 9.27148i | −0.415593 | − | 0.318760i | ||||
\(847\) | −2.03986 | + | 9.97540i | −0.0700903 | + | 0.342759i | ||||
\(848\) | 3.88703 | − | 11.4009i | 0.133481 | − | 0.391509i | ||||
\(849\) | 22.7303 | − | 32.2930i | 0.780102 | − | 1.10829i | ||||
\(850\) | 7.98040 | − | 0.389387i | 0.273725 | − | 0.0133559i | ||||
\(851\) | −0.809383 | + | 0.467298i | −0.0277453 | + | 0.0160188i | ||||
\(852\) | −48.6434 | + | 0.378668i | −1.66650 | + | 0.0129730i | ||||
\(853\) | − | 45.0262i | − | 1.54167i | −0.637036 | − | 0.770834i | \(-0.719840\pi\) | ||
0.637036 | − | 0.770834i | \(-0.280160\pi\) | |||||||
\(854\) | 34.2518 | − | 13.3104i | 1.17207 | − | 0.455474i | ||||
\(855\) | 2.75152 | + | 0.499124i | 0.0940999 | + | 0.0170697i | ||||
\(856\) | −5.85509 | + | 14.7734i | −0.200123 | + | 0.504944i | ||||
\(857\) | 2.63945 | − | 1.52389i | 0.0901621 | − | 0.0520551i | −0.454241 | − | 0.890879i | \(-0.650090\pi\) |
0.544403 | + | 0.838824i | \(0.316756\pi\) | |||||||
\(858\) | 0.796094 | − | 19.4203i | 0.0271782 | − | 0.662999i | ||||
\(859\) | −18.4182 | + | 31.9013i | −0.628421 | + | 1.08846i | 0.359447 | + | 0.933165i | \(0.382965\pi\) |
−0.987869 | + | 0.155292i | \(0.950368\pi\) | |||||||
\(860\) | 15.7734 | + | 22.0427i | 0.537867 | + | 0.751650i | ||||
\(861\) | 28.1111 | − | 26.4926i | 0.958025 | − | 0.902866i | ||||
\(862\) | 3.63399 | + | 1.86815i | 0.123774 | + | 0.0636293i | ||||
\(863\) | −23.1013 | + | 40.0125i | −0.786376 | + | 1.36204i | 0.141798 | + | 0.989896i | \(0.454712\pi\) |
−0.928174 | + | 0.372147i | \(0.878622\pi\) | |||||||
\(864\) | −25.0744 | − | 15.3387i | −0.853047 | − | 0.521834i | ||||
\(865\) | 11.7596 | + | 20.3682i | 0.399837 | + | 0.692538i | ||||
\(866\) | −27.4343 | + | 17.6757i | −0.932256 | + | 0.600646i | ||||
\(867\) | 26.4607 | + | 2.38055i | 0.898651 | + | 0.0808478i | ||||
\(868\) | 12.4331 | + | 27.8860i | 0.422005 | + | 0.946513i | ||||
\(869\) | 0.0217198 | 0.000736793 | ||||||||
\(870\) | 40.2082 | − | 21.0674i | 1.36319 | − | 0.714250i | ||||
\(871\) | 13.4918 | − | 7.78949i | 0.457152 | − | 0.263937i | ||||
\(872\) | −18.5551 | − | 23.4273i | −0.628355 | − | 0.793349i | ||||
\(873\) | 8.09418 | − | 9.55053i | 0.273946 | − | 0.323236i | ||||
\(874\) | −0.833034 | − | 0.428242i | −0.0281778 | − | 0.0144855i | ||||
\(875\) | 30.1101 | − | 10.0414i | 1.01791 | − | 0.339462i | ||||
\(876\) | −7.09560 | − | 12.0719i | −0.239738 | − | 0.407873i | ||||
\(877\) | −20.3134 | − | 11.7280i | −0.685935 | − | 0.396025i | 0.116152 | − | 0.993231i | \(-0.462944\pi\) |
−0.802087 | + | 0.597207i | \(0.796277\pi\) | |||||||
\(878\) | −4.19470 | + | 0.204672i | −0.141564 | + | 0.00690735i | ||||
\(879\) | −4.74607 | − | 10.2436i | −0.160081 | − | 0.345509i | ||||
\(880\) | 23.2228 | − | 20.3112i | 0.782840 | − | 0.684689i | ||||
\(881\) | 16.7672i | 0.564900i | 0.959282 | + | 0.282450i | \(0.0911471\pi\) | ||||
−0.959282 | + | 0.282450i | \(0.908853\pi\) | |||||||
\(882\) | −14.5781 | − | 25.8743i | −0.490870 | − | 0.871233i | ||||
\(883\) | −18.5641 | −0.624731 | −0.312365 | − | 0.949962i | \(-0.601121\pi\) | ||||
−0.312365 | + | 0.949962i | \(0.601121\pi\) | |||||||
\(884\) | −23.3093 | + | 2.28009i | −0.783978 | + | 0.0766878i | ||||
\(885\) | −20.7784 | + | 9.62703i | −0.698459 | + | 0.323609i | ||||
\(886\) | 27.7831 | − | 1.35562i | 0.933390 | − | 0.0455429i | ||||
\(887\) | 19.6635 | − | 34.0581i | 0.660234 | − | 1.14356i | −0.320320 | − | 0.947309i | \(-0.603790\pi\) |
0.980554 | − | 0.196250i | \(-0.0628763\pi\) | |||||||
\(888\) | 3.21414 | − | 0.181917i | 0.107859 | − | 0.00610474i | ||||
\(889\) | 14.9335 | + | 44.7796i | 0.500855 | + | 1.50186i | ||||
\(890\) | −12.1649 | + | 23.6636i | −0.407767 | + | 0.793205i | ||||
\(891\) | −22.0298 | − | 26.7845i | −0.738025 | − | 0.897313i | ||||
\(892\) | −46.9525 | − | 21.3116i | −1.57209 | − | 0.713565i | ||||
\(893\) | 0.836085 | + | 1.44814i | 0.0279785 | + | 0.0484602i | ||||
\(894\) | 22.8987 | − | 11.9979i | 0.765848 | − | 0.401271i | ||||
\(895\) | 20.5691i | 0.687548i | ||||||||
\(896\) | −11.2147 | + | 27.7530i | −0.374657 | + | 0.927164i | ||||
\(897\) | −0.454531 | + | 5.05226i | −0.0151763 | + | 0.168690i | ||||
\(898\) | −27.8227 | − | 43.1833i | −0.928456 | − | 1.44105i | ||||
\(899\) | 46.2636 | − | 26.7103i | 1.54298 | − | 0.890839i | ||||
\(900\) | −3.39300 | + | 4.90107i | −0.113100 | + | 0.163369i | ||||
\(901\) | −14.8303 | − | 8.56229i | −0.494070 | − | 0.285251i | ||||
\(902\) | −40.8528 | − | 21.0014i | −1.36025 | − | 0.699272i | ||||
\(903\) | −21.2800 | − | 22.5801i | −0.708155 | − | 0.751419i | ||||
\(904\) | 44.5210 | − | 6.55861i | 1.48075 | − | 0.218136i | ||||
\(905\) | −8.25737 | − | 4.76740i | −0.274484 | − | 0.158474i | ||||
\(906\) | 43.0923 | + | 1.76647i | 1.43164 | + | 0.0586872i | ||||
\(907\) | 12.8800 | + | 22.3088i | 0.427674 | + | 0.740753i | 0.996666 | − | 0.0815902i | \(-0.0259999\pi\) |
−0.568992 | + | 0.822343i | \(0.692667\pi\) | |||||||
\(908\) | 0.316917 | + | 3.23983i | 0.0105172 | + | 0.107518i | ||||
\(909\) | 31.1531 | + | 5.65117i | 1.03328 | + | 0.187437i | ||||
\(910\) | −14.3752 | + | 5.58627i | −0.476532 | + | 0.185183i | ||||
\(911\) | −0.887972 | −0.0294198 | −0.0147099 | − | 0.999892i | \(-0.504682\pi\) | ||||
−0.0147099 | + | 0.999892i | \(0.504682\pi\) | |||||||
\(912\) | 1.89793 | + | 2.60913i | 0.0628467 | + | 0.0863969i | ||||
\(913\) | 16.5014 | + | 28.5812i | 0.546115 | + | 0.945899i | ||||
\(914\) | −1.89716 | − | 38.8819i | −0.0627525 | − | 1.28610i | ||||
\(915\) | −27.8431 | − | 19.5981i | −0.920465 | − | 0.647894i | ||||
\(916\) | 22.8629 | − | 16.3603i | 0.755410 | − | 0.540558i | ||||
\(917\) | −6.30930 | − | 1.29018i | −0.208352 | − | 0.0426055i | ||||
\(918\) | −28.3013 | + | 30.7462i | −0.934083 | + | 1.01478i | ||||
\(919\) | −37.8224 | − | 21.8368i | −1.24764 | − | 0.720328i | −0.277006 | − | 0.960868i | \(-0.589342\pi\) |
−0.970639 | + | 0.240540i | \(0.922675\pi\) | |||||||
\(920\) | −6.31194 | + | 4.99924i | −0.208098 | + | 0.164820i | ||||
\(921\) | −9.28936 | − | 20.0496i | −0.306095 | − | 0.660657i | ||||
\(922\) | 23.0713 | − | 14.8647i | 0.759812 | − | 0.489542i | ||||
\(923\) | − | 28.9170i | − | 0.951814i | ||||||
\(924\) | −23.2214 | + | 26.6089i | −0.763927 | + | 0.875367i | ||||
\(925\) | − | 0.652857i | − | 0.0214658i | ||||||
\(926\) | −6.34063 | − | 9.84121i | −0.208366 | − | 0.323402i | ||||
\(927\) | −30.0249 | + | 10.7613i | −0.986149 | + | 0.353449i | ||||
\(928\) | 50.3357 | + | 14.4648i | 1.65235 | + | 0.474831i | ||||
\(929\) | 10.6999 | + | 6.17761i | 0.351053 | + | 0.202681i | 0.665149 | − | 0.746711i | \(-0.268368\pi\) |
−0.314096 | + | 0.949391i | \(0.601701\pi\) | |||||||
\(930\) | 15.1367 | − | 23.9002i | 0.496353 | − | 0.783717i | ||||
\(931\) | 0.390836 | + | 3.23633i | 0.0128091 | + | 0.106066i | ||||
\(932\) | 29.2657 | − | 20.9420i | 0.958628 | − | 0.685977i | ||||
\(933\) | 9.41854 | − | 13.3809i | 0.308349 | − | 0.438073i | ||||
\(934\) | 22.2832 | − | 1.08726i | 0.729128 | − | 0.0355763i | ||||
\(935\) | −21.9308 | − | 37.9852i | −0.717213 | − | 1.24225i | ||||
\(936\) | 9.23387 | − | 14.8340i | 0.301818 | − | 0.484865i | ||||
\(937\) | −60.8875 | −1.98911 | −0.994553 | − | 0.104228i | \(-0.966763\pi\) | ||||
−0.994553 | + | 0.104228i | \(0.966763\pi\) | |||||||
\(938\) | −27.9767 | − | 4.31282i | −0.913472 | − | 0.140819i | ||||
\(939\) | 9.92366 | + | 0.892790i | 0.323847 | + | 0.0291351i | ||||
\(940\) | 14.3063 | − | 1.39943i | 0.466620 | − | 0.0456442i | ||||
\(941\) | 20.1874 | + | 34.9656i | 0.658090 | + | 1.13985i | 0.981109 | + | 0.193453i | \(0.0619688\pi\) |
−0.323019 | + | 0.946392i | \(0.604698\pi\) | |||||||
\(942\) | 6.02704 | + | 0.247065i | 0.196371 | + | 0.00804982i | ||||
\(943\) | 10.3822 | + | 5.99416i | 0.338091 | + | 0.195197i | ||||
\(944\) | −25.0079 | − | 8.52623i | −0.813939 | − | 0.277505i | ||||
\(945\) | −12.4840 | + | 24.5230i | −0.406106 | + | 0.797734i | ||||
\(946\) | −16.8693 | + | 32.8148i | −0.548468 | + | 1.06690i | ||||
\(947\) | 49.1278 | + | 28.3640i | 1.59644 | + | 0.921705i | 0.992166 | + | 0.124928i | \(0.0398699\pi\) |
0.604273 | + | 0.796777i | \(0.293463\pi\) | |||||||
\(948\) | 0.0169852 | + | 0.00963092i | 0.000551655 | + | 0.000312798i | ||||
\(949\) | 7.20878 | − | 4.16199i | 0.234007 | − | 0.135104i | ||||
\(950\) | 0.550024 | − | 0.354377i | 0.0178451 | − | 0.0114975i | ||||
\(951\) | 23.0821 | + | 2.07660i | 0.748490 | + | 0.0673385i | ||||
\(952\) | 35.6184 | + | 23.2874i | 1.15440 | + | 0.754748i | ||||
\(953\) | 57.3370i | 1.85733i | 0.370922 | + | 0.928664i | \(0.379042\pi\) | ||||
−0.370922 | + | 0.928664i | \(0.620958\pi\) | |||||||
\(954\) | 11.8025 | − | 4.89158i | 0.382119 | − | 0.158371i | ||||
\(955\) | 2.39187 | + | 4.14283i | 0.0773990 | + | 0.134059i | ||||
\(956\) | −13.2701 | + | 29.2358i | −0.429185 | + | 0.945555i | ||||
\(957\) | 50.5296 | + | 35.5666i | 1.63339 | + | 1.14971i | ||||
\(958\) | 15.6285 | + | 8.03423i | 0.504934 | + | 0.259574i | ||||
\(959\) | −5.46198 | + | 6.16128i | −0.176376 | + | 0.198958i | ||||
\(960\) | 27.1669 | − | 5.58630i | 0.876809 | − | 0.180297i | ||||
\(961\) | 1.14663 | − | 1.98602i | 0.0369880 | − | 0.0640651i | ||||
\(962\) | 0.0932644 | + | 1.91143i | 0.00300696 | + | 0.0616270i | ||||
\(963\) | −15.8670 | + | 5.68694i | −0.511306 | + | 0.183259i | ||||
\(964\) | 14.5027 | − | 1.41864i | 0.467101 | − | 0.0456913i | ||||
\(965\) | 12.7356 | 0.409972 | ||||||||
\(966\) | 6.39167 | − | 6.64090i | 0.205649 | − | 0.213668i | ||||
\(967\) | − | 8.50633i | − | 0.273545i | −0.990602 | − | 0.136773i | \(-0.956327\pi\) | ||
0.990602 | − | 0.136773i | \(-0.0436729\pi\) | |||||||
\(968\) | 10.1191 | + | 4.01046i | 0.325240 | + | 0.128901i | ||||
\(969\) | 4.16191 | − | 1.92829i | 0.133700 | − | 0.0619456i | ||||
\(970\) | 0.575694 | + | 11.7987i | 0.0184844 | + | 0.378833i | ||||
\(971\) | −19.5026 | − | 11.2598i | −0.625867 | − | 0.361344i | 0.153283 | − | 0.988182i | \(-0.451015\pi\) |
−0.779150 | + | 0.626838i | \(0.784349\pi\) | |||||||
\(972\) | −5.35097 | − | 30.7143i | −0.171632 | − | 0.985161i | ||||
\(973\) | −19.9658 | + | 6.65838i | −0.640074 | + | 0.213458i | ||||
\(974\) | −10.3663 | + | 20.1650i | −0.332158 | + | 0.646127i | ||||
\(975\) | −2.89765 | − | 2.03959i | −0.0927991 | − | 0.0653191i | ||||
\(976\) | −7.61265 | − | 38.5397i | −0.243675 | − | 1.23362i | ||||
\(977\) | −28.7960 | + | 16.6254i | −0.921267 | + | 0.531894i | −0.884039 | − | 0.467413i | \(-0.845186\pi\) |
−0.0372277 | + | 0.999307i | \(0.511853\pi\) | |||||||
\(978\) | 20.9759 | − | 10.9905i | 0.670736 | − | 0.351437i | ||||
\(979\) | −36.2195 | −1.15758 | ||||||||
\(980\) | 26.7218 | + | 8.43928i | 0.853596 | + | 0.269583i | ||||
\(981\) | 5.65770 | − | 31.1891i | 0.180637 | − | 0.995793i | ||||
\(982\) | −7.23131 | − | 11.2236i | −0.230760 | − | 0.358160i | ||||
\(983\) | −5.17748 | − | 8.96766i | −0.165136 | − | 0.286024i | 0.771568 | − | 0.636147i | \(-0.219473\pi\) |
−0.936704 | + | 0.350123i | \(0.886140\pi\) | |||||||
\(984\) | −22.6352 | − | 34.5383i | −0.721585 | − | 1.10104i | ||||
\(985\) | −16.9188 | + | 29.3043i | −0.539079 | + | 0.933712i | ||||
\(986\) | 34.0419 | − | 66.2197i | 1.08412 | − | 2.10886i | ||||
\(987\) | −16.0133 | + | 3.78602i | −0.509709 | + | 0.120510i | ||||
\(988\) | −1.55973 | + | 1.11612i | −0.0496217 | + | 0.0355084i | ||||
\(989\) | 4.81477 | − | 8.33943i | 0.153101 | − | 0.265178i | ||||
\(990\) | 32.4443 | + | 4.26459i | 1.03115 | + | 0.135538i | ||||
\(991\) | −49.0627 | + | 28.3264i | −1.55853 | + | 0.899817i | −0.561130 | + | 0.827728i | \(0.689633\pi\) |
−0.997398 | + | 0.0720892i | \(0.977033\pi\) | |||||||
\(992\) | 31.6752 | − | 7.87819i | 1.00569 | − | 0.250133i | ||||
\(993\) | 7.74000 | + | 0.696335i | 0.245621 | + | 0.0220975i | ||||
\(994\) | −32.8973 | + | 40.9693i | −1.04344 | + | 1.29947i | ||||
\(995\) | − | 25.9954i | − | 0.824111i | ||||||
\(996\) | 0.230952 | + | 29.6680i | 0.00731800 | + | 0.940065i | ||||
\(997\) | 12.1911 | − | 7.03856i | 0.386097 | − | 0.222913i | −0.294370 | − | 0.955691i | \(-0.595110\pi\) |
0.680468 | + | 0.732778i | \(0.261777\pi\) | |||||||
\(998\) | 2.19615 | + | 45.0096i | 0.0695180 | + | 1.42475i | ||||
\(999\) | 2.39660 | + | 2.43220i | 0.0758249 | + | 0.0769514i |
(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 | 168.2.v.a.107.5 | yes | 56 | |
3.2 | odd | 2 | inner | 168.2.v.a.107.24 | yes | 56 | |
4.3 | odd | 2 | 672.2.bd.a.527.11 | 56 | |||
7.4 | even | 3 | inner | 168.2.v.a.11.14 | yes | 56 | |
8.3 | odd | 2 | inner | 168.2.v.a.107.15 | yes | 56 | |
8.5 | even | 2 | 672.2.bd.a.527.12 | 56 | |||
12.11 | even | 2 | 672.2.bd.a.527.10 | 56 | |||
21.11 | odd | 6 | inner | 168.2.v.a.11.15 | yes | 56 | |
24.5 | odd | 2 | 672.2.bd.a.527.9 | 56 | |||
24.11 | even | 2 | inner | 168.2.v.a.107.14 | yes | 56 | |
28.11 | odd | 6 | 672.2.bd.a.431.9 | 56 | |||
56.11 | odd | 6 | inner | 168.2.v.a.11.24 | yes | 56 | |
56.53 | even | 6 | 672.2.bd.a.431.10 | 56 | |||
84.11 | even | 6 | 672.2.bd.a.431.12 | 56 | |||
168.11 | even | 6 | inner | 168.2.v.a.11.5 | ✓ | 56 | |
168.53 | odd | 6 | 672.2.bd.a.431.11 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
168.2.v.a.11.5 | ✓ | 56 | 168.11 | even | 6 | inner | |
168.2.v.a.11.14 | yes | 56 | 7.4 | even | 3 | inner | |
168.2.v.a.11.15 | yes | 56 | 21.11 | odd | 6 | inner | |
168.2.v.a.11.24 | yes | 56 | 56.11 | odd | 6 | inner | |
168.2.v.a.107.5 | yes | 56 | 1.1 | even | 1 | trivial | |
168.2.v.a.107.14 | yes | 56 | 24.11 | even | 2 | inner | |
168.2.v.a.107.15 | yes | 56 | 8.3 | odd | 2 | inner | |
168.2.v.a.107.24 | yes | 56 | 3.2 | odd | 2 | inner | |
672.2.bd.a.431.9 | 56 | 28.11 | odd | 6 | |||
672.2.bd.a.431.10 | 56 | 56.53 | even | 6 | |||
672.2.bd.a.431.11 | 56 | 168.53 | odd | 6 | |||
672.2.bd.a.431.12 | 56 | 84.11 | even | 6 | |||
672.2.bd.a.527.9 | 56 | 24.5 | odd | 2 | |||
672.2.bd.a.527.10 | 56 | 12.11 | even | 2 | |||
672.2.bd.a.527.11 | 56 | 4.3 | odd | 2 | |||
672.2.bd.a.527.12 | 56 | 8.5 | even | 2 |