Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(31,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 0, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.31");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.m (of order \(11\), degree \(10\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{11})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 6 x^{19} + 21 x^{18} - 47 x^{17} + 44 x^{16} + 232 x^{15} - 1084 x^{14} + 1484 x^{13} + 2670 x^{12} - 12826 x^{11} + 18393 x^{10} - 2728 x^{9} - 12654 x^{8} - 6818 x^{7} + \cdots + 1849 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 301.2 | ||
Root | \(-2.21104 - 0.649220i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 690.301 |
Dual form | 690.2.m.e.541.2 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.841254 | − | 0.540641i | −0.594856 | − | 0.382291i | ||||
\(3\) | 0.142315 | + | 0.989821i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 0.415415 | + | 0.909632i | 0.207708 | + | 0.454816i | ||||
\(5\) | −0.959493 | − | 0.281733i | −0.429098 | − | 0.125995i | ||||
\(6\) | 0.415415 | − | 0.909632i | 0.169592 | − | 0.371356i | ||||
\(7\) | 0.988122 | − | 1.14035i | 0.373475 | − | 0.431013i | −0.537634 | − | 0.843178i | \(-0.680682\pi\) |
0.911109 | + | 0.412165i | \(0.135227\pi\) | |||||||
\(8\) | 0.142315 | − | 0.989821i | 0.0503159 | − | 0.349955i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | 0.654861 | + | 0.755750i | 0.207085 | + | 0.238989i | ||||
\(11\) | −3.77903 | + | 2.42863i | −1.13942 | + | 0.732260i | −0.967505 | − | 0.252852i | \(-0.918631\pi\) |
−0.171914 | + | 0.985112i | \(0.554995\pi\) | |||||||
\(12\) | −0.841254 | + | 0.540641i | −0.242849 | + | 0.156070i | ||||
\(13\) | 1.59204 | + | 1.83732i | 0.441553 | + | 0.509580i | 0.932282 | − | 0.361733i | \(-0.117815\pi\) |
−0.490729 | + | 0.871313i | \(0.663269\pi\) | |||||||
\(14\) | −1.44778 | + | 0.425107i | −0.386936 | + | 0.113615i | ||||
\(15\) | 0.142315 | − | 0.989821i | 0.0367455 | − | 0.255571i | ||||
\(16\) | −0.654861 | + | 0.755750i | −0.163715 | + | 0.188937i | ||||
\(17\) | −0.823348 | + | 1.80288i | −0.199691 | + | 0.437263i | −0.982813 | − | 0.184606i | \(-0.940899\pi\) |
0.783121 | + | 0.621869i | \(0.213626\pi\) | |||||||
\(18\) | 0.959493 | + | 0.281733i | 0.226155 | + | 0.0664050i | ||||
\(19\) | −0.110643 | − | 0.242274i | −0.0253832 | − | 0.0555815i | 0.896516 | − | 0.443012i | \(-0.146090\pi\) |
−0.921899 | + | 0.387430i | \(0.873363\pi\) | |||||||
\(20\) | −0.142315 | − | 0.989821i | −0.0318226 | − | 0.221331i | ||||
\(21\) | 1.26937 | + | 0.815775i | 0.276999 | + | 0.178017i | ||||
\(22\) | 4.49214 | 0.957727 | ||||||||
\(23\) | −0.877569 | + | 4.71486i | −0.182986 | + | 0.983116i | ||||
\(24\) | 1.00000 | 0.204124 | ||||||||
\(25\) | 0.841254 | + | 0.540641i | 0.168251 | + | 0.108128i | ||||
\(26\) | −0.345984 | − | 2.40637i | −0.0678530 | − | 0.471928i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 1.44778 | + | 0.425107i | 0.273605 | + | 0.0803377i | ||||
\(29\) | −1.31308 | + | 2.87525i | −0.243833 | + | 0.533920i | −0.991493 | − | 0.130162i | \(-0.958450\pi\) |
0.747660 | + | 0.664082i | \(0.231178\pi\) | |||||||
\(30\) | −0.654861 | + | 0.755750i | −0.119561 | + | 0.137980i | ||||
\(31\) | 0.838056 | − | 5.82881i | 0.150519 | − | 1.04688i | −0.764833 | − | 0.644229i | \(-0.777178\pi\) |
0.915352 | − | 0.402655i | \(-0.131913\pi\) | |||||||
\(32\) | 0.959493 | − | 0.281733i | 0.169616 | − | 0.0498038i | ||||
\(33\) | −2.94172 | − | 3.39493i | −0.512088 | − | 0.590981i | ||||
\(34\) | 1.66735 | − | 1.07154i | 0.285949 | − | 0.183768i | ||||
\(35\) | −1.26937 | + | 0.815775i | −0.214563 | + | 0.137891i | ||||
\(36\) | −0.654861 | − | 0.755750i | −0.109143 | − | 0.125958i | ||||
\(37\) | −11.2307 | + | 3.29764i | −1.84632 | + | 0.542129i | −0.846367 | + | 0.532600i | \(0.821215\pi\) |
−0.999955 | + | 0.00952929i | \(0.996967\pi\) | |||||||
\(38\) | −0.0379046 | + | 0.263632i | −0.00614894 | + | 0.0427668i | ||||
\(39\) | −1.59204 | + | 1.83732i | −0.254931 | + | 0.294206i | ||||
\(40\) | −0.415415 | + | 0.909632i | −0.0656829 | + | 0.143825i | ||||
\(41\) | 7.39839 | + | 2.17236i | 1.15543 | + | 0.339266i | 0.802657 | − | 0.596441i | \(-0.203419\pi\) |
0.352778 | + | 0.935707i | \(0.385237\pi\) | |||||||
\(42\) | −0.626821 | − | 1.37255i | −0.0967206 | − | 0.211789i | ||||
\(43\) | 1.74154 | + | 12.1127i | 0.265583 | + | 1.84717i | 0.488794 | + | 0.872399i | \(0.337437\pi\) |
−0.223212 | + | 0.974770i | \(0.571654\pi\) | |||||||
\(44\) | −3.77903 | − | 2.42863i | −0.569710 | − | 0.366130i | ||||
\(45\) | 1.00000 | 0.149071 | ||||||||
\(46\) | 3.28730 | − | 3.49194i | 0.484686 | − | 0.514858i | ||||
\(47\) | −9.15991 | −1.33611 | −0.668055 | − | 0.744112i | \(-0.732873\pi\) | ||||
−0.668055 | + | 0.744112i | \(0.732873\pi\) | |||||||
\(48\) | −0.841254 | − | 0.540641i | −0.121424 | − | 0.0780348i | ||||
\(49\) | 0.672183 | + | 4.67513i | 0.0960261 | + | 0.667876i | ||||
\(50\) | −0.415415 | − | 0.909632i | −0.0587486 | − | 0.128641i | ||||
\(51\) | −1.90170 | − | 0.558391i | −0.266292 | − | 0.0781903i | ||||
\(52\) | −1.00992 | + | 2.21142i | −0.140051 | + | 0.306669i | ||||
\(53\) | −8.83527 | + | 10.1964i | −1.21362 | + | 1.40059i | −0.322654 | + | 0.946517i | \(0.604575\pi\) |
−0.890964 | + | 0.454073i | \(0.849971\pi\) | |||||||
\(54\) | −0.142315 | + | 0.989821i | −0.0193666 | + | 0.134698i | ||||
\(55\) | 4.31017 | − | 1.26558i | 0.581184 | − | 0.170651i | ||||
\(56\) | −0.988122 | − | 1.14035i | −0.132043 | − | 0.152386i | ||||
\(57\) | 0.224062 | − | 0.143996i | 0.0296778 | − | 0.0190727i | ||||
\(58\) | 2.65911 | − | 1.70891i | 0.349159 | − | 0.224391i | ||||
\(59\) | −9.60937 | − | 11.0898i | −1.25103 | − | 1.44377i | −0.849213 | − | 0.528051i | \(-0.822923\pi\) |
−0.401821 | − | 0.915718i | \(-0.631622\pi\) | |||||||
\(60\) | 0.959493 | − | 0.281733i | 0.123870 | − | 0.0363715i | ||||
\(61\) | 0.873883 | − | 6.07799i | 0.111889 | − | 0.778207i | −0.854190 | − | 0.519961i | \(-0.825946\pi\) |
0.966079 | − | 0.258246i | \(-0.0831444\pi\) | |||||||
\(62\) | −3.85631 | + | 4.45042i | −0.489752 | + | 0.565203i | ||||
\(63\) | −0.626821 | + | 1.37255i | −0.0789721 | + | 0.172925i | ||||
\(64\) | −0.959493 | − | 0.281733i | −0.119937 | − | 0.0352166i | ||||
\(65\) | −1.00992 | − | 2.21142i | −0.125265 | − | 0.274293i | ||||
\(66\) | 0.639298 | + | 4.44641i | 0.0786921 | + | 0.547316i | ||||
\(67\) | 0.869412 | + | 0.558737i | 0.106216 | + | 0.0682606i | 0.592670 | − | 0.805445i | \(-0.298074\pi\) |
−0.486455 | + | 0.873706i | \(0.661710\pi\) | |||||||
\(68\) | −1.98199 | −0.240351 | ||||||||
\(69\) | −4.79176 | − | 0.197643i | −0.576860 | − | 0.0237934i | ||||
\(70\) | 1.50890 | 0.180348 | ||||||||
\(71\) | 5.47877 | + | 3.52099i | 0.650210 | + | 0.417865i | 0.823743 | − | 0.566963i | \(-0.191882\pi\) |
−0.173533 | + | 0.984828i | \(0.555518\pi\) | |||||||
\(72\) | 0.142315 | + | 0.989821i | 0.0167720 | + | 0.116652i | ||||
\(73\) | −0.679674 | − | 1.48828i | −0.0795498 | − | 0.174190i | 0.865678 | − | 0.500601i | \(-0.166888\pi\) |
−0.945228 | + | 0.326412i | \(0.894160\pi\) | |||||||
\(74\) | 11.2307 | + | 3.29764i | 1.30555 | + | 0.383343i | ||||
\(75\) | −0.415415 | + | 0.909632i | −0.0479680 | + | 0.105035i | ||||
\(76\) | 0.174418 | − | 0.201289i | 0.0200071 | − | 0.0230894i | ||||
\(77\) | −0.964639 | + | 6.70921i | −0.109931 | + | 0.764585i | ||||
\(78\) | 2.33264 | − | 0.684925i | 0.264119 | − | 0.0775524i | ||||
\(79\) | 5.79056 | + | 6.68266i | 0.651489 | + | 0.751858i | 0.981362 | − | 0.192167i | \(-0.0615515\pi\) |
−0.329873 | + | 0.944025i | \(0.607006\pi\) | |||||||
\(80\) | 0.841254 | − | 0.540641i | 0.0940550 | − | 0.0604455i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | −5.04946 | − | 5.82738i | −0.557619 | − | 0.643527i | ||||
\(83\) | 7.15379 | − | 2.10054i | 0.785231 | − | 0.230565i | 0.135549 | − | 0.990771i | \(-0.456720\pi\) |
0.649682 | + | 0.760206i | \(0.274902\pi\) | |||||||
\(84\) | −0.214739 | + | 1.49355i | −0.0234300 | + | 0.162959i | ||||
\(85\) | 1.29793 | − | 1.49789i | 0.140780 | − | 0.162469i | ||||
\(86\) | 5.08354 | − | 11.1314i | 0.548172 | − | 1.20033i | ||||
\(87\) | −3.03285 | − | 0.890526i | −0.325156 | − | 0.0954744i | ||||
\(88\) | 1.86610 | + | 4.08619i | 0.198927 | + | 0.435589i | ||||
\(89\) | 0.948091 | + | 6.59412i | 0.100497 | + | 0.698975i | 0.976318 | + | 0.216339i | \(0.0694115\pi\) |
−0.875821 | + | 0.482636i | \(0.839679\pi\) | |||||||
\(90\) | −0.841254 | − | 0.540641i | −0.0886759 | − | 0.0569885i | ||||
\(91\) | 3.66832 | 0.384544 | ||||||||
\(92\) | −4.65334 | + | 1.16036i | −0.485144 | + | 0.120976i | ||||
\(93\) | 5.88874 | 0.610634 | ||||||||
\(94\) | 7.70580 | + | 4.95222i | 0.794793 | + | 0.510782i | ||||
\(95\) | 0.0379046 | + | 0.263632i | 0.00388893 | + | 0.0270481i | ||||
\(96\) | 0.415415 | + | 0.909632i | 0.0423981 | + | 0.0928389i | ||||
\(97\) | 11.4555 | + | 3.36363i | 1.16313 | + | 0.341525i | 0.805647 | − | 0.592396i | \(-0.201818\pi\) |
0.357480 | + | 0.933921i | \(0.383636\pi\) | |||||||
\(98\) | 1.96209 | − | 4.29638i | 0.198201 | − | 0.434000i | ||||
\(99\) | 2.94172 | − | 3.39493i | 0.295654 | − | 0.341203i | ||||
\(100\) | −0.142315 | + | 0.989821i | −0.0142315 | + | 0.0989821i | ||||
\(101\) | 0.917554 | − | 0.269418i | 0.0913001 | − | 0.0268081i | −0.235763 | − | 0.971810i | \(-0.575759\pi\) |
0.327064 | + | 0.945002i | \(0.393941\pi\) | |||||||
\(102\) | 1.29793 | + | 1.49789i | 0.128514 | + | 0.148313i | ||||
\(103\) | −6.32611 | + | 4.06554i | −0.623330 | + | 0.400590i | −0.813835 | − | 0.581096i | \(-0.802624\pi\) |
0.190505 | + | 0.981686i | \(0.438988\pi\) | |||||||
\(104\) | 2.04519 | − | 1.31436i | 0.200547 | − | 0.128884i | ||||
\(105\) | −0.988122 | − | 1.14035i | −0.0964308 | − | 0.111287i | ||||
\(106\) | 12.9453 | − | 3.80109i | 1.25736 | − | 0.369194i | ||||
\(107\) | 1.18625 | − | 8.25054i | 0.114679 | − | 0.797609i | −0.848586 | − | 0.529057i | \(-0.822546\pi\) |
0.963265 | − | 0.268552i | \(-0.0865452\pi\) | |||||||
\(108\) | 0.654861 | − | 0.755750i | 0.0630140 | − | 0.0727220i | ||||
\(109\) | −1.35450 | + | 2.96594i | −0.129738 | + | 0.284086i | −0.963342 | − | 0.268276i | \(-0.913546\pi\) |
0.833604 | + | 0.552362i | \(0.186273\pi\) | |||||||
\(110\) | −4.31017 | − | 1.26558i | −0.410959 | − | 0.120668i | ||||
\(111\) | −4.86238 | − | 10.6471i | −0.461516 | − | 1.01058i | ||||
\(112\) | 0.214739 | + | 1.49355i | 0.0202910 | + | 0.141127i | ||||
\(113\) | −11.2424 | − | 7.22504i | −1.05759 | − | 0.679675i | −0.108317 | − | 0.994116i | \(-0.534546\pi\) |
−0.949277 | + | 0.314442i | \(0.898183\pi\) | |||||||
\(114\) | −0.266343 | −0.0249453 | ||||||||
\(115\) | 2.17035 | − | 4.27663i | 0.202386 | − | 0.398798i | ||||
\(116\) | −3.16089 | −0.293482 | ||||||||
\(117\) | −2.04519 | − | 1.31436i | −0.189077 | − | 0.121513i | ||||
\(118\) | 2.08832 | + | 14.5246i | 0.192245 | + | 1.33709i | ||||
\(119\) | 1.24235 | + | 2.72037i | 0.113886 | + | 0.249376i | ||||
\(120\) | −0.959493 | − | 0.281733i | −0.0875893 | − | 0.0257185i | ||||
\(121\) | 3.81321 | − | 8.34977i | 0.346656 | − | 0.759070i | ||||
\(122\) | −4.02117 | + | 4.64067i | −0.364059 | + | 0.420147i | ||||
\(123\) | −1.09735 | + | 7.63225i | −0.0989449 | + | 0.688177i | ||||
\(124\) | 5.65021 | − | 1.65905i | 0.507404 | − | 0.148987i | ||||
\(125\) | −0.654861 | − | 0.755750i | −0.0585725 | − | 0.0675963i | ||||
\(126\) | 1.26937 | − | 0.815775i | 0.113085 | − | 0.0726750i | ||||
\(127\) | 4.09035 | − | 2.62871i | 0.362960 | − | 0.233260i | −0.346431 | − | 0.938075i | \(-0.612607\pi\) |
0.709391 | + | 0.704815i | \(0.248970\pi\) | |||||||
\(128\) | 0.654861 | + | 0.755750i | 0.0578821 | + | 0.0667995i | ||||
\(129\) | −11.7416 | + | 3.44763i | −1.03379 | + | 0.303547i | ||||
\(130\) | −0.345984 | + | 2.40637i | −0.0303448 | + | 0.211053i | ||||
\(131\) | 9.62604 | − | 11.1090i | 0.841031 | − | 0.970601i | −0.158830 | − | 0.987306i | \(-0.550772\pi\) |
0.999860 | + | 0.0167048i | \(0.00531756\pi\) | |||||||
\(132\) | 1.86610 | − | 4.08619i | 0.162423 | − | 0.355657i | ||||
\(133\) | −0.385607 | − | 0.113224i | −0.0334364 | − | 0.00981781i | ||||
\(134\) | −0.429320 | − | 0.940079i | −0.0370876 | − | 0.0812105i | ||||
\(135\) | 0.142315 | + | 0.989821i | 0.0122485 | + | 0.0851903i | ||||
\(136\) | 1.66735 | + | 1.07154i | 0.142975 | + | 0.0918841i | ||||
\(137\) | 15.5526 | 1.32875 | 0.664374 | − | 0.747401i | \(-0.268698\pi\) | ||||
0.664374 | + | 0.747401i | \(0.268698\pi\) | |||||||
\(138\) | 3.92423 | + | 2.75689i | 0.334053 | + | 0.234682i | ||||
\(139\) | −5.64348 | −0.478673 | −0.239337 | − | 0.970937i | \(-0.576930\pi\) | ||||
−0.239337 | + | 0.970937i | \(0.576930\pi\) | |||||||
\(140\) | −1.26937 | − | 0.815775i | −0.107281 | − | 0.0689456i | ||||
\(141\) | −1.30359 | − | 9.06667i | −0.109782 | − | 0.763552i | ||||
\(142\) | −2.70544 | − | 5.92409i | −0.227036 | − | 0.497139i | ||||
\(143\) | −10.4785 | − | 3.07677i | −0.876259 | − | 0.257293i | ||||
\(144\) | 0.415415 | − | 0.909632i | 0.0346179 | − | 0.0758027i | ||||
\(145\) | 2.06994 | − | 2.38884i | 0.171900 | − | 0.198383i | ||||
\(146\) | −0.232846 | + | 1.61948i | −0.0192705 | + | 0.134029i | ||||
\(147\) | −4.53189 | + | 1.33068i | −0.373784 | + | 0.109753i | ||||
\(148\) | −7.66506 | − | 8.84595i | −0.630064 | − | 0.727132i | ||||
\(149\) | 3.32180 | − | 2.13479i | 0.272133 | − | 0.174889i | −0.397456 | − | 0.917621i | \(-0.630107\pi\) |
0.669589 | + | 0.742732i | \(0.266470\pi\) | |||||||
\(150\) | 0.841254 | − | 0.540641i | 0.0686881 | − | 0.0441431i | ||||
\(151\) | −9.60453 | − | 11.0842i | −0.781606 | − | 0.902021i | 0.215618 | − | 0.976478i | \(-0.430823\pi\) |
−0.997224 | + | 0.0744565i | \(0.976278\pi\) | |||||||
\(152\) | −0.255554 | + | 0.0750376i | −0.0207282 | + | 0.00608635i | ||||
\(153\) | 0.282066 | − | 1.96181i | 0.0228037 | − | 0.158603i | ||||
\(154\) | 4.43878 | − | 5.12262i | 0.357687 | − | 0.412793i | ||||
\(155\) | −2.44627 | + | 5.35659i | −0.196489 | + | 0.430252i | ||||
\(156\) | −2.33264 | − | 0.684925i | −0.186761 | − | 0.0548379i | ||||
\(157\) | 8.76610 | + | 19.1951i | 0.699611 | + | 1.53193i | 0.840442 | + | 0.541901i | \(0.182295\pi\) |
−0.140831 | + | 0.990034i | \(0.544977\pi\) | |||||||
\(158\) | −1.25841 | − | 8.75243i | −0.100114 | − | 0.696306i | ||||
\(159\) | −11.3501 | − | 7.29424i | −0.900118 | − | 0.578471i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 4.50946 | + | 5.65959i | 0.355395 | + | 0.446038i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | −10.5463 | − | 6.77769i | −0.826049 | − | 0.530870i | 0.0579711 | − | 0.998318i | \(-0.481537\pi\) |
−0.884020 | + | 0.467449i | \(0.845173\pi\) | |||||||
\(164\) | 1.09735 | + | 7.63225i | 0.0856888 | + | 0.595978i | ||||
\(165\) | 1.86610 | + | 4.08619i | 0.145276 | + | 0.318110i | ||||
\(166\) | −7.15379 | − | 2.10054i | −0.555242 | − | 0.163034i | ||||
\(167\) | 2.12148 | − | 4.64540i | 0.164165 | − | 0.359472i | −0.809615 | − | 0.586961i | \(-0.800324\pi\) |
0.973781 | + | 0.227489i | \(0.0730516\pi\) | |||||||
\(168\) | 0.988122 | − | 1.14035i | 0.0762353 | − | 0.0879802i | ||||
\(169\) | 1.00897 | − | 7.01751i | 0.0776127 | − | 0.539808i | ||||
\(170\) | −1.90170 | + | 0.558391i | −0.145854 | + | 0.0428266i | ||||
\(171\) | 0.174418 | + | 0.201289i | 0.0133381 | + | 0.0153929i | ||||
\(172\) | −10.2946 | + | 6.61596i | −0.784959 | + | 0.504462i | ||||
\(173\) | 11.2085 | − | 7.20328i | 0.852168 | − | 0.547655i | −0.0400820 | − | 0.999196i | \(-0.512762\pi\) |
0.892250 | + | 0.451541i | \(0.149126\pi\) | |||||||
\(174\) | 2.06994 | + | 2.38884i | 0.156922 | + | 0.181098i | ||||
\(175\) | 1.44778 | − | 0.425107i | 0.109442 | − | 0.0321351i | ||||
\(176\) | 0.639298 | − | 4.44641i | 0.0481889 | − | 0.335161i | ||||
\(177\) | 9.60937 | − | 11.0898i | 0.722284 | − | 0.833561i | ||||
\(178\) | 2.76746 | − | 6.05990i | 0.207430 | − | 0.454209i | ||||
\(179\) | −5.77778 | − | 1.69651i | −0.431851 | − | 0.126803i | 0.0585802 | − | 0.998283i | \(-0.481343\pi\) |
−0.490432 | + | 0.871480i | \(0.663161\pi\) | |||||||
\(180\) | 0.415415 | + | 0.909632i | 0.0309632 | + | 0.0678000i | ||||
\(181\) | 1.22742 | + | 8.53689i | 0.0912334 | + | 0.634542i | 0.983212 | + | 0.182465i | \(0.0584077\pi\) |
−0.891979 | + | 0.452077i | \(0.850683\pi\) | |||||||
\(182\) | −3.08599 | − | 1.98324i | −0.228749 | − | 0.147008i | ||||
\(183\) | 6.14049 | 0.453918 | ||||||||
\(184\) | 4.54197 | + | 1.53963i | 0.334839 | + | 0.113503i | ||||
\(185\) | 11.7049 | 0.860559 | ||||||||
\(186\) | −4.95393 | − | 3.18370i | −0.363240 | − | 0.233440i | ||||
\(187\) | −1.26708 | − | 8.81274i | −0.0926581 | − | 0.644451i | ||||
\(188\) | −3.80516 | − | 8.33215i | −0.277520 | − | 0.607684i | ||||
\(189\) | −1.44778 | − | 0.425107i | −0.105311 | − | 0.0309220i | ||||
\(190\) | 0.110643 | − | 0.242274i | 0.00802689 | − | 0.0175764i | ||||
\(191\) | 14.4943 | − | 16.7273i | 1.04877 | − | 1.21035i | 0.0717033 | − | 0.997426i | \(-0.477157\pi\) |
0.977069 | − | 0.212922i | \(-0.0682980\pi\) | |||||||
\(192\) | 0.142315 | − | 0.989821i | 0.0102707 | − | 0.0714342i | ||||
\(193\) | 20.5087 | − | 6.02191i | 1.47625 | − | 0.433466i | 0.558126 | − | 0.829756i | \(-0.311521\pi\) |
0.918125 | + | 0.396290i | \(0.129703\pi\) | |||||||
\(194\) | −7.81844 | − | 9.02296i | −0.561331 | − | 0.647811i | ||||
\(195\) | 2.04519 | − | 1.31436i | 0.146459 | − | 0.0941233i | ||||
\(196\) | −3.97342 | + | 2.55356i | −0.283815 | + | 0.182397i | ||||
\(197\) | −0.515432 | − | 0.594841i | −0.0367230 | − | 0.0423806i | 0.737091 | − | 0.675794i | \(-0.236199\pi\) |
−0.773814 | + | 0.633413i | \(0.781653\pi\) | |||||||
\(198\) | −4.31017 | + | 1.26558i | −0.306311 | + | 0.0899409i | ||||
\(199\) | 1.43309 | − | 9.96738i | 0.101589 | − | 0.706569i | −0.873833 | − | 0.486226i | \(-0.838373\pi\) |
0.975422 | − | 0.220343i | \(-0.0707177\pi\) | |||||||
\(200\) | 0.654861 | − | 0.755750i | 0.0463056 | − | 0.0534396i | ||||
\(201\) | −0.429320 | + | 0.940079i | −0.0302819 | + | 0.0663081i | ||||
\(202\) | −0.917554 | − | 0.269418i | −0.0645589 | − | 0.0189562i | ||||
\(203\) | 1.98131 | + | 4.33847i | 0.139061 | + | 0.304501i | ||||
\(204\) | −0.282066 | − | 1.96181i | −0.0197486 | − | 0.137355i | ||||
\(205\) | −6.48668 | − | 4.16874i | −0.453049 | − | 0.291157i | ||||
\(206\) | 7.51986 | 0.523933 | ||||||||
\(207\) | −0.486307 | − | 4.77111i | −0.0338007 | − | 0.331615i | ||||
\(208\) | −2.43112 | −0.168568 | ||||||||
\(209\) | 1.00652 | + | 0.646850i | 0.0696223 | + | 0.0447435i | ||||
\(210\) | 0.214739 | + | 1.49355i | 0.0148184 | + | 0.103064i | ||||
\(211\) | −4.96612 | − | 10.8743i | −0.341882 | − | 0.748617i | 0.658109 | − | 0.752923i | \(-0.271357\pi\) |
−0.999991 | + | 0.00430607i | \(0.998629\pi\) | |||||||
\(212\) | −12.9453 | − | 3.80109i | −0.889088 | − | 0.261060i | ||||
\(213\) | −2.70544 | + | 5.92409i | −0.185374 | + | 0.405912i | ||||
\(214\) | −5.45851 | + | 6.29946i | −0.373136 | + | 0.430622i | ||||
\(215\) | 1.74154 | − | 12.1127i | 0.118772 | − | 0.826079i | ||||
\(216\) | −0.959493 | + | 0.281733i | −0.0652852 | + | 0.0191695i | ||||
\(217\) | −5.81880 | − | 6.71525i | −0.395006 | − | 0.455861i | ||||
\(218\) | 2.74299 | − | 1.76281i | 0.185779 | − | 0.119393i | ||||
\(219\) | 1.37640 | − | 0.884560i | 0.0930087 | − | 0.0597730i | ||||
\(220\) | 2.94172 | + | 3.39493i | 0.198331 | + | 0.228886i | ||||
\(221\) | −4.62326 | + | 1.35751i | −0.310994 | + | 0.0913162i | ||||
\(222\) | −1.66578 | + | 11.5857i | −0.111800 | + | 0.777583i | ||||
\(223\) | 3.83051 | − | 4.42064i | 0.256510 | − | 0.296028i | −0.612859 | − | 0.790193i | \(-0.709980\pi\) |
0.869368 | + | 0.494164i | \(0.164526\pi\) | |||||||
\(224\) | 0.626821 | − | 1.37255i | 0.0418813 | − | 0.0917072i | ||||
\(225\) | −0.959493 | − | 0.281733i | −0.0639662 | − | 0.0187822i | ||||
\(226\) | 5.55154 | + | 12.1562i | 0.369283 | + | 0.808617i | ||||
\(227\) | 3.59763 | + | 25.0220i | 0.238783 | + | 1.66077i | 0.658099 | + | 0.752931i | \(0.271361\pi\) |
−0.419316 | + | 0.907840i | \(0.637730\pi\) | |||||||
\(228\) | 0.224062 | + | 0.143996i | 0.0148389 | + | 0.00953637i | ||||
\(229\) | 9.38548 | 0.620210 | 0.310105 | − | 0.950702i | \(-0.399636\pi\) | ||||
0.310105 | + | 0.950702i | \(0.399636\pi\) | |||||||
\(230\) | −4.13794 | + | 2.42435i | −0.272847 | + | 0.159857i | ||||
\(231\) | −6.77820 | −0.445973 | ||||||||
\(232\) | 2.65911 | + | 1.70891i | 0.174579 | + | 0.112195i | ||||
\(233\) | 1.21905 | + | 8.47869i | 0.0798627 | + | 0.555458i | 0.989991 | + | 0.141131i | \(0.0450738\pi\) |
−0.910128 | + | 0.414327i | \(0.864017\pi\) | |||||||
\(234\) | 1.00992 | + | 2.21142i | 0.0660207 | + | 0.144565i | ||||
\(235\) | 8.78887 | + | 2.58064i | 0.573322 | + | 0.168343i | ||||
\(236\) | 6.09576 | − | 13.3479i | 0.396800 | − | 0.868872i | ||||
\(237\) | −5.79056 | + | 6.68266i | −0.376137 | + | 0.434086i | ||||
\(238\) | 0.425611 | − | 2.96019i | 0.0275883 | − | 0.191881i | ||||
\(239\) | −9.40863 | + | 2.76262i | −0.608594 | + | 0.178699i | −0.571486 | − | 0.820612i | \(-0.693633\pi\) |
−0.0371079 | + | 0.999311i | \(0.511815\pi\) | |||||||
\(240\) | 0.654861 | + | 0.755750i | 0.0422711 | + | 0.0487834i | ||||
\(241\) | −3.88935 | + | 2.49953i | −0.250535 | + | 0.161009i | −0.659881 | − | 0.751370i | \(-0.729393\pi\) |
0.409346 | + | 0.912379i | \(0.365757\pi\) | |||||||
\(242\) | −7.72211 | + | 4.96270i | −0.496396 | + | 0.319014i | ||||
\(243\) | 0.654861 | + | 0.755750i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | 5.89176 | − | 1.72998i | 0.377181 | − | 0.110750i | ||||
\(245\) | 0.672183 | − | 4.67513i | 0.0429442 | − | 0.298683i | ||||
\(246\) | 5.04946 | − | 5.82738i | 0.321942 | − | 0.371540i | ||||
\(247\) | 0.268986 | − | 0.588997i | 0.0171152 | − | 0.0374770i | ||||
\(248\) | −5.65021 | − | 1.65905i | −0.358789 | − | 0.105350i | ||||
\(249\) | 3.09725 | + | 6.78204i | 0.196280 | + | 0.429794i | ||||
\(250\) | 0.142315 | + | 0.989821i | 0.00900078 | + | 0.0626018i | ||||
\(251\) | 1.45132 | + | 0.932704i | 0.0916062 | + | 0.0588717i | 0.585642 | − | 0.810570i | \(-0.300842\pi\) |
−0.494036 | + | 0.869442i | \(0.664479\pi\) | |||||||
\(252\) | −1.50890 | −0.0950520 | ||||||||
\(253\) | −8.13430 | − | 19.9489i | −0.511399 | − | 1.25417i | ||||
\(254\) | −4.86221 | −0.305082 | ||||||||
\(255\) | 1.66735 | + | 1.07154i | 0.104414 | + | 0.0671027i | ||||
\(256\) | −0.142315 | − | 0.989821i | −0.00889468 | − | 0.0618638i | ||||
\(257\) | 12.2871 | + | 26.9050i | 0.766447 | + | 1.67829i | 0.734322 | + | 0.678802i | \(0.237500\pi\) |
0.0321259 | + | 0.999484i | \(0.489772\pi\) | |||||||
\(258\) | 11.7416 | + | 3.44763i | 0.730998 | + | 0.214640i | ||||
\(259\) | −7.33686 | + | 16.0655i | −0.455890 | + | 0.998260i | ||||
\(260\) | 1.59204 | − | 1.83732i | 0.0987343 | − | 0.113945i | ||||
\(261\) | 0.449842 | − | 3.12872i | 0.0278445 | − | 0.193663i | ||||
\(262\) | −14.1039 | + | 4.14129i | −0.871344 | + | 0.255850i | ||||
\(263\) | −10.8522 | − | 12.5241i | −0.669175 | − | 0.772269i | 0.315072 | − | 0.949068i | \(-0.397971\pi\) |
−0.984247 | + | 0.176799i | \(0.943426\pi\) | |||||||
\(264\) | −3.77903 | + | 2.42863i | −0.232583 | + | 0.149472i | ||||
\(265\) | 11.3501 | − | 7.29424i | 0.697228 | − | 0.448081i | ||||
\(266\) | 0.263180 | + | 0.303725i | 0.0161366 | + | 0.0186226i | ||||
\(267\) | −6.39207 | + | 1.87688i | −0.391188 | + | 0.114863i | ||||
\(268\) | −0.147078 | + | 1.02295i | −0.00898424 | + | 0.0624868i | ||||
\(269\) | −4.50291 | + | 5.19664i | −0.274547 | + | 0.316845i | −0.876232 | − | 0.481889i | \(-0.839951\pi\) |
0.601685 | + | 0.798734i | \(0.294496\pi\) | |||||||
\(270\) | 0.415415 | − | 0.909632i | 0.0252814 | − | 0.0553584i | ||||
\(271\) | −22.2486 | − | 6.53277i | −1.35150 | − | 0.396838i | −0.475744 | − | 0.879584i | \(-0.657821\pi\) |
−0.875760 | + | 0.482746i | \(0.839639\pi\) | |||||||
\(272\) | −0.823348 | − | 1.80288i | −0.0499228 | − | 0.109316i | ||||
\(273\) | 0.522056 | + | 3.63098i | 0.0315963 | + | 0.219757i | ||||
\(274\) | −13.0837 | − | 8.40836i | −0.790413 | − | 0.507968i | ||||
\(275\) | −4.49214 | −0.270886 | ||||||||
\(276\) | −1.81079 | − | 4.44084i | −0.108996 | − | 0.267307i | ||||
\(277\) | 5.20907 | 0.312983 | 0.156491 | − | 0.987679i | \(-0.449982\pi\) | ||||
0.156491 | + | 0.987679i | \(0.449982\pi\) | |||||||
\(278\) | 4.74759 | + | 3.05109i | 0.284742 | + | 0.182992i | ||||
\(279\) | 0.838056 | + | 5.82881i | 0.0501731 | + | 0.348961i | ||||
\(280\) | 0.626821 | + | 1.37255i | 0.0374597 | + | 0.0820254i | ||||
\(281\) | 26.6505 | + | 7.82529i | 1.58984 | + | 0.466818i | 0.952695 | − | 0.303929i | \(-0.0982986\pi\) |
0.637141 | + | 0.770747i | \(0.280117\pi\) | |||||||
\(282\) | −3.80516 | + | 8.33215i | −0.226594 | + | 0.496172i | ||||
\(283\) | −12.6365 | + | 14.5833i | −0.751162 | + | 0.866888i | −0.994680 | − | 0.103009i | \(-0.967153\pi\) |
0.243518 | + | 0.969896i | \(0.421699\pi\) | |||||||
\(284\) | −0.926843 | + | 6.44633i | −0.0549980 | + | 0.382520i | ||||
\(285\) | −0.255554 | + | 0.0750376i | −0.0151377 | + | 0.00444484i | ||||
\(286\) | 7.15167 | + | 8.25347i | 0.422887 | + | 0.488038i | ||||
\(287\) | 9.78778 | − | 6.29022i | 0.577754 | − | 0.371300i | ||||
\(288\) | −0.841254 | + | 0.540641i | −0.0495713 | + | 0.0318576i | ||||
\(289\) | 8.56016 | + | 9.87895i | 0.503539 | + | 0.581115i | ||||
\(290\) | −3.03285 | + | 0.890526i | −0.178095 | + | 0.0522935i | ||||
\(291\) | −1.69911 | + | 11.8176i | −0.0996035 | + | 0.692758i | ||||
\(292\) | 1.07144 | − | 1.23651i | 0.0627012 | − | 0.0723611i | ||||
\(293\) | 5.63013 | − | 12.3283i | 0.328915 | − | 0.720224i | −0.670856 | − | 0.741587i | \(-0.734073\pi\) |
0.999772 | + | 0.0213629i | \(0.00680054\pi\) | |||||||
\(294\) | 4.53189 | + | 1.33068i | 0.264305 | + | 0.0776069i | ||||
\(295\) | 6.09576 | + | 13.3479i | 0.354909 | + | 0.777142i | ||||
\(296\) | 1.66578 | + | 11.5857i | 0.0968213 | + | 0.673407i | ||||
\(297\) | 3.77903 | + | 2.42863i | 0.219281 | + | 0.140924i | ||||
\(298\) | −3.94863 | −0.228738 | ||||||||
\(299\) | −10.0598 | + | 5.89388i | −0.581774 | + | 0.340852i | ||||
\(300\) | −1.00000 | −0.0577350 | ||||||||
\(301\) | 15.5336 | + | 9.98285i | 0.895342 | + | 0.575402i | ||||
\(302\) | 2.08726 | + | 14.5172i | 0.120109 | + | 0.835374i | ||||
\(303\) | 0.397258 | + | 0.869873i | 0.0228219 | + | 0.0499729i | ||||
\(304\) | 0.255554 | + | 0.0750376i | 0.0146571 | + | 0.00430370i | ||||
\(305\) | −2.55085 | + | 5.58559i | −0.146061 | + | 0.319830i | ||||
\(306\) | −1.29793 | + | 1.49789i | −0.0741975 | + | 0.0856285i | ||||
\(307\) | −2.77904 | + | 19.3287i | −0.158608 | + | 1.10314i | 0.742593 | + | 0.669743i | \(0.233596\pi\) |
−0.901201 | + | 0.433401i | \(0.857313\pi\) | |||||||
\(308\) | −6.50364 | + | 1.90964i | −0.370579 | + | 0.108812i | ||||
\(309\) | −4.92446 | − | 5.68313i | −0.280143 | − | 0.323302i | ||||
\(310\) | 4.95393 | − | 3.18370i | 0.281364 | − | 0.180822i | ||||
\(311\) | 7.76527 | − | 4.99043i | 0.440328 | − | 0.282982i | −0.301634 | − | 0.953424i | \(-0.597532\pi\) |
0.741962 | + | 0.670442i | \(0.233896\pi\) | |||||||
\(312\) | 1.59204 | + | 1.83732i | 0.0901317 | + | 0.104017i | ||||
\(313\) | −17.6962 | + | 5.19606i | −1.00025 | + | 0.293699i | −0.740557 | − | 0.671994i | \(-0.765438\pi\) |
−0.259689 | + | 0.965692i | \(0.583620\pi\) | |||||||
\(314\) | 3.00313 | − | 20.8872i | 0.169477 | − | 1.17874i | ||||
\(315\) | 0.988122 | − | 1.14035i | 0.0556744 | − | 0.0642516i | ||||
\(316\) | −3.67328 | + | 8.04336i | −0.206638 | + | 0.452474i | ||||
\(317\) | −12.7371 | − | 3.73994i | −0.715385 | − | 0.210056i | −0.0962687 | − | 0.995355i | \(-0.530691\pi\) |
−0.619116 | + | 0.785299i | \(0.712509\pi\) | |||||||
\(318\) | 5.60471 | + | 12.2726i | 0.314297 | + | 0.688214i | ||||
\(319\) | −2.02075 | − | 14.0546i | −0.113140 | − | 0.786908i | ||||
\(320\) | 0.841254 | + | 0.540641i | 0.0470275 | + | 0.0302227i | ||||
\(321\) | 8.33538 | 0.465235 | ||||||||
\(322\) | −0.733790 | − | 7.19915i | −0.0408925 | − | 0.401193i | ||||
\(323\) | 0.527889 | 0.0293725 | ||||||||
\(324\) | 0.841254 | + | 0.540641i | 0.0467363 | + | 0.0300356i | ||||
\(325\) | 0.345984 | + | 2.40637i | 0.0191917 | + | 0.133481i | ||||
\(326\) | 5.20781 | + | 11.4035i | 0.288434 | + | 0.631582i | ||||
\(327\) | −3.12852 | − | 0.918616i | −0.173007 | − | 0.0507996i | ||||
\(328\) | 3.20315 | − | 7.01393i | 0.176865 | − | 0.387279i | ||||
\(329\) | −9.05110 | + | 10.4455i | −0.499004 | + | 0.575881i | ||||
\(330\) | 0.639298 | − | 4.44641i | 0.0351922 | − | 0.244767i | ||||
\(331\) | −18.6948 | + | 5.48928i | −1.02756 | + | 0.301718i | −0.751717 | − | 0.659486i | \(-0.770774\pi\) |
−0.275840 | + | 0.961204i | \(0.588956\pi\) | |||||||
\(332\) | 4.88251 | + | 5.63472i | 0.267963 | + | 0.309246i | ||||
\(333\) | 9.84676 | − | 6.32813i | 0.539599 | − | 0.346779i | ||||
\(334\) | −4.29619 | + | 2.76100i | −0.235077 | + | 0.151075i | ||||
\(335\) | −0.676780 | − | 0.781046i | −0.0369765 | − | 0.0426731i | ||||
\(336\) | −1.44778 | + | 0.425107i | −0.0789830 | + | 0.0231915i | ||||
\(337\) | −1.21884 | + | 8.47720i | −0.0663943 | + | 0.461783i | 0.929318 | + | 0.369280i | \(0.120396\pi\) |
−0.995712 | + | 0.0925025i | \(0.970513\pi\) | |||||||
\(338\) | −4.64275 | + | 5.35802i | −0.252532 | + | 0.291438i | ||||
\(339\) | 5.55154 | − | 12.1562i | 0.301518 | − | 0.660233i | ||||
\(340\) | 1.90170 | + | 0.558391i | 0.103134 | + | 0.0302830i | ||||
\(341\) | 10.9890 | + | 24.0625i | 0.595087 | + | 1.30306i | ||||
\(342\) | −0.0379046 | − | 0.263632i | −0.00204965 | − | 0.0142556i | ||||
\(343\) | 14.8811 | + | 9.56350i | 0.803504 | + | 0.516380i | ||||
\(344\) | 12.2373 | 0.659789 | ||||||||
\(345\) | 4.54197 | + | 1.53963i | 0.244532 | + | 0.0828909i | ||||
\(346\) | −13.3236 | −0.716281 | ||||||||
\(347\) | 11.5623 | + | 7.43066i | 0.620699 | + | 0.398899i | 0.812855 | − | 0.582466i | \(-0.197912\pi\) |
−0.192157 | + | 0.981364i | \(0.561548\pi\) | |||||||
\(348\) | −0.449842 | − | 3.12872i | −0.0241141 | − | 0.167717i | ||||
\(349\) | −1.26274 | − | 2.76500i | −0.0675927 | − | 0.148007i | 0.872820 | − | 0.488042i | \(-0.162289\pi\) |
−0.940413 | + | 0.340034i | \(0.889561\pi\) | |||||||
\(350\) | −1.44778 | − | 0.425107i | −0.0773872 | − | 0.0227229i | ||||
\(351\) | 1.00992 | − | 2.21142i | 0.0539057 | − | 0.118037i | ||||
\(352\) | −2.94172 | + | 3.39493i | −0.156794 | + | 0.180950i | ||||
\(353\) | −1.94823 | + | 13.5502i | −0.103694 | + | 0.721206i | 0.869951 | + | 0.493138i | \(0.164150\pi\) |
−0.973645 | + | 0.228068i | \(0.926759\pi\) | |||||||
\(354\) | −14.0795 | + | 4.13412i | −0.748318 | + | 0.219726i | ||||
\(355\) | −4.26486 | − | 4.92191i | −0.226355 | − | 0.261228i | ||||
\(356\) | −5.60437 | + | 3.60171i | −0.297031 | + | 0.190890i | ||||
\(357\) | −2.51588 | + | 1.61686i | −0.133154 | + | 0.0855731i | ||||
\(358\) | 3.94337 | + | 4.55090i | 0.208414 | + | 0.240522i | ||||
\(359\) | −3.02720 | + | 0.888865i | −0.159769 | + | 0.0469125i | −0.360639 | − | 0.932705i | \(-0.617441\pi\) |
0.200870 | + | 0.979618i | \(0.435623\pi\) | |||||||
\(360\) | 0.142315 | − | 0.989821i | 0.00750065 | − | 0.0521682i | ||||
\(361\) | 12.3959 | − | 14.3056i | 0.652416 | − | 0.752928i | ||||
\(362\) | 3.58282 | − | 7.84528i | 0.188309 | − | 0.412339i | ||||
\(363\) | 8.80746 | + | 2.58610i | 0.462272 | + | 0.135735i | ||||
\(364\) | 1.52388 | + | 3.33682i | 0.0798728 | + | 0.174897i | ||||
\(365\) | 0.232846 | + | 1.61948i | 0.0121877 | + | 0.0847674i | ||||
\(366\) | −5.16571 | − | 3.31980i | −0.270016 | − | 0.173529i | ||||
\(367\) | −13.0715 | −0.682328 | −0.341164 | − | 0.940004i | \(-0.610821\pi\) | ||||
−0.341164 | + | 0.940004i | \(0.610821\pi\) | |||||||
\(368\) | −2.98857 | − | 3.75080i | −0.155790 | − | 0.195524i | ||||
\(369\) | −7.71073 | −0.401405 | ||||||||
\(370\) | −9.84676 | − | 6.32813i | −0.511909 | − | 0.328984i | ||||
\(371\) | 2.89723 | + | 20.1507i | 0.150417 | + | 1.04617i | ||||
\(372\) | 2.44627 | + | 5.35659i | 0.126833 | + | 0.277726i | ||||
\(373\) | −24.5823 | − | 7.21801i | −1.27282 | − | 0.373734i | −0.425570 | − | 0.904925i | \(-0.639927\pi\) |
−0.847252 | + | 0.531191i | \(0.821745\pi\) | |||||||
\(374\) | −3.69859 | + | 8.09878i | −0.191250 | + | 0.418778i | ||||
\(375\) | 0.654861 | − | 0.755750i | 0.0338169 | − | 0.0390267i | ||||
\(376\) | −1.30359 | + | 9.06667i | −0.0672276 | + | 0.467578i | ||||
\(377\) | −7.37322 | + | 2.16497i | −0.379740 | + | 0.111502i | ||||
\(378\) | 0.988122 | + | 1.14035i | 0.0508235 | + | 0.0586534i | ||||
\(379\) | −17.0813 | + | 10.9775i | −0.877407 | + | 0.563875i | −0.900010 | − | 0.435869i | \(-0.856441\pi\) |
0.0226030 | + | 0.999745i | \(0.492805\pi\) | |||||||
\(380\) | −0.224062 | + | 0.143996i | −0.0114941 | + | 0.00738684i | ||||
\(381\) | 3.18407 | + | 3.67461i | 0.163125 | + | 0.188256i | ||||
\(382\) | −21.2369 | + | 6.23571i | −1.08657 | + | 0.319047i | ||||
\(383\) | 2.56391 | − | 17.8324i | 0.131010 | − | 0.911193i | −0.813232 | − | 0.581940i | \(-0.802294\pi\) |
0.944242 | − | 0.329253i | \(-0.106797\pi\) | |||||||
\(384\) | −0.654861 | + | 0.755750i | −0.0334182 | + | 0.0385667i | ||||
\(385\) | 2.81577 | − | 6.16567i | 0.143505 | − | 0.314232i | ||||
\(386\) | −20.5087 | − | 6.02191i | −1.04387 | − | 0.306507i | ||||
\(387\) | −5.08354 | − | 11.1314i | −0.258411 | − | 0.565841i | ||||
\(388\) | 1.69911 | + | 11.8176i | 0.0862592 | + | 0.599946i | ||||
\(389\) | 32.2171 | + | 20.7047i | 1.63347 | + | 1.04977i | 0.946309 | + | 0.323262i | \(0.104780\pi\) |
0.687161 | + | 0.726505i | \(0.258857\pi\) | |||||||
\(390\) | −2.43112 | −0.123104 | ||||||||
\(391\) | −7.77778 | − | 5.46412i | −0.393339 | − | 0.276332i | ||||
\(392\) | 4.72321 | 0.238558 | ||||||||
\(393\) | 12.3659 | + | 7.94708i | 0.623777 | + | 0.400877i | ||||
\(394\) | 0.112014 | + | 0.779076i | 0.00564319 | + | 0.0392493i | ||||
\(395\) | −3.67328 | − | 8.04336i | −0.184823 | − | 0.404705i | ||||
\(396\) | 4.31017 | + | 1.26558i | 0.216594 | + | 0.0635978i | ||||
\(397\) | 4.05992 | − | 8.88998i | 0.203762 | − | 0.446176i | −0.779971 | − | 0.625816i | \(-0.784766\pi\) |
0.983732 | + | 0.179640i | \(0.0574934\pi\) | |||||||
\(398\) | −6.59437 | + | 7.61031i | −0.330546 | + | 0.381470i | ||||
\(399\) | 0.0571944 | − | 0.397796i | 0.00286330 | − | 0.0199147i | ||||
\(400\) | −0.959493 | + | 0.281733i | −0.0479746 | + | 0.0140866i | ||||
\(401\) | 6.70181 | + | 7.73430i | 0.334672 | + | 0.386232i | 0.897996 | − | 0.440004i | \(-0.145023\pi\) |
−0.563324 | + | 0.826236i | \(0.690478\pi\) | |||||||
\(402\) | 0.869412 | − | 0.558737i | 0.0433623 | − | 0.0278673i | ||||
\(403\) | 12.0436 | − | 7.73993i | 0.599933 | − | 0.385554i | ||||
\(404\) | 0.626237 | + | 0.722716i | 0.0311565 | + | 0.0359565i | ||||
\(405\) | −0.959493 | + | 0.281733i | −0.0476776 | + | 0.0139994i | ||||
\(406\) | 0.678768 | − | 4.72094i | 0.0336867 | − | 0.234296i | ||||
\(407\) | 34.4325 | − | 39.7372i | 1.70675 | − | 1.96970i | ||||
\(408\) | −0.823348 | + | 1.80288i | −0.0407618 | + | 0.0892559i | ||||
\(409\) | −17.0281 | − | 4.99991i | −0.841986 | − | 0.247229i | −0.167828 | − | 0.985816i | \(-0.553675\pi\) |
−0.674158 | + | 0.738587i | \(0.735493\pi\) | |||||||
\(410\) | 3.20315 | + | 7.01393i | 0.158192 | + | 0.346393i | ||||
\(411\) | 2.21336 | + | 15.3943i | 0.109177 | + | 0.759344i | ||||
\(412\) | −6.32611 | − | 4.06554i | −0.311665 | − | 0.200295i | ||||
\(413\) | −22.1415 | −1.08951 | ||||||||
\(414\) | −2.17035 | + | 4.27663i | −0.106667 | + | 0.210185i | ||||
\(415\) | −7.45581 | −0.365991 | ||||||||
\(416\) | 2.04519 | + | 1.31436i | 0.100273 | + | 0.0644418i | ||||
\(417\) | −0.803150 | − | 5.58603i | −0.0393304 | − | 0.273549i | ||||
\(418\) | −0.497023 | − | 1.08833i | −0.0243102 | − | 0.0532319i | ||||
\(419\) | 30.7112 | + | 9.01762i | 1.50034 | + | 0.440540i | 0.925824 | − | 0.377954i | \(-0.123372\pi\) |
0.574516 | + | 0.818494i | \(0.305190\pi\) | |||||||
\(420\) | 0.626821 | − | 1.37255i | 0.0305857 | − | 0.0669734i | ||||
\(421\) | 14.6937 | − | 16.9575i | 0.716129 | − | 0.826457i | −0.274707 | − | 0.961528i | \(-0.588581\pi\) |
0.990836 | + | 0.135071i | \(0.0431263\pi\) | |||||||
\(422\) | −1.70132 | + | 11.8329i | −0.0828188 | + | 0.576017i | ||||
\(423\) | 8.78887 | − | 2.58064i | 0.427329 | − | 0.125475i | ||||
\(424\) | 8.83527 | + | 10.1964i | 0.429079 | + | 0.495183i | ||||
\(425\) | −1.66735 | + | 1.07154i | −0.0808786 | + | 0.0519775i | ||||
\(426\) | 5.47877 | − | 3.52099i | 0.265447 | − | 0.170593i | ||||
\(427\) | −6.06755 | − | 7.00233i | −0.293629 | − | 0.338866i | ||||
\(428\) | 7.99774 | − | 2.34835i | 0.386585 | − | 0.113512i | ||||
\(429\) | 1.55421 | − | 10.8097i | 0.0750378 | − | 0.521899i | ||||
\(430\) | −8.01370 | + | 9.24830i | −0.386455 | + | 0.445993i | ||||
\(431\) | −8.63717 | + | 18.9128i | −0.416038 | + | 0.910996i | 0.579351 | + | 0.815078i | \(0.303306\pi\) |
−0.995389 | + | 0.0959178i | \(0.969421\pi\) | |||||||
\(432\) | 0.959493 | + | 0.281733i | 0.0461636 | + | 0.0135549i | ||||
\(433\) | 7.64285 | + | 16.7355i | 0.367292 | + | 0.804257i | 0.999564 | + | 0.0295111i | \(0.00939503\pi\) |
−0.632273 | + | 0.774746i | \(0.717878\pi\) | |||||||
\(434\) | 1.26455 | + | 8.79511i | 0.0607001 | + | 0.422179i | ||||
\(435\) | 2.65911 | + | 1.70891i | 0.127495 | + | 0.0819358i | ||||
\(436\) | −3.26060 | −0.156154 | ||||||||
\(437\) | 1.23939 | − | 0.309053i | 0.0592879 | − | 0.0147840i | ||||
\(438\) | −1.63613 | −0.0781775 | ||||||||
\(439\) | −3.58155 | − | 2.30172i | −0.170938 | − | 0.109855i | 0.452374 | − | 0.891828i | \(-0.350577\pi\) |
−0.623312 | + | 0.781973i | \(0.714213\pi\) | |||||||
\(440\) | −0.639298 | − | 4.44641i | −0.0304773 | − | 0.211974i | ||||
\(441\) | −1.96209 | − | 4.29638i | −0.0934330 | − | 0.204590i | ||||
\(442\) | 4.62326 | + | 1.35751i | 0.219906 | + | 0.0645703i | ||||
\(443\) | 6.98828 | − | 15.3022i | 0.332023 | − | 0.727029i | −0.667827 | − | 0.744316i | \(-0.732776\pi\) |
0.999851 | + | 0.0172868i | \(0.00550284\pi\) | |||||||
\(444\) | 7.66506 | − | 8.84595i | 0.363768 | − | 0.419810i | ||||
\(445\) | 0.948091 | − | 6.59412i | 0.0449438 | − | 0.312591i | ||||
\(446\) | −5.61241 | + | 1.64795i | −0.265755 | + | 0.0780328i | ||||
\(447\) | 2.58580 | + | 2.98418i | 0.122304 | + | 0.141147i | ||||
\(448\) | −1.26937 | + | 0.815775i | −0.0599721 | + | 0.0385417i | ||||
\(449\) | −14.0529 | + | 9.03126i | −0.663198 | + | 0.426212i | −0.828468 | − | 0.560037i | \(-0.810787\pi\) |
0.165270 | + | 0.986248i | \(0.447151\pi\) | |||||||
\(450\) | 0.654861 | + | 0.755750i | 0.0308704 | + | 0.0356264i | ||||
\(451\) | −33.2346 | + | 9.75856i | −1.56496 | + | 0.459512i | ||||
\(452\) | 1.90187 | − | 13.2278i | 0.0894566 | − | 0.622184i | ||||
\(453\) | 9.60453 | − | 11.0842i | 0.451260 | − | 0.520782i | ||||
\(454\) | 10.5014 | − | 22.9949i | 0.492856 | − | 1.07920i | ||||
\(455\) | −3.51973 | − | 1.03349i | −0.165007 | − | 0.0484505i | ||||
\(456\) | −0.110643 | − | 0.242274i | −0.00518133 | − | 0.0113455i | ||||
\(457\) | −0.411520 | − | 2.86219i | −0.0192501 | − | 0.133888i | 0.977930 | − | 0.208933i | \(-0.0669990\pi\) |
−0.997180 | + | 0.0750452i | \(0.976090\pi\) | |||||||
\(458\) | −7.89557 | − | 5.07417i | −0.368936 | − | 0.237101i | ||||
\(459\) | 1.98199 | 0.0925113 | ||||||||
\(460\) | 4.79176 | + | 0.197643i | 0.223417 | + | 0.00921515i | ||||
\(461\) | −1.88975 | −0.0880145 | −0.0440073 | − | 0.999031i | \(-0.514012\pi\) | ||||
−0.0440073 | + | 0.999031i | \(0.514012\pi\) | |||||||
\(462\) | 5.70219 | + | 3.66457i | 0.265290 | + | 0.170491i | ||||
\(463\) | 4.30213 | + | 29.9220i | 0.199937 | + | 1.39059i | 0.804462 | + | 0.594005i | \(0.202454\pi\) |
−0.604525 | + | 0.796586i | \(0.706637\pi\) | |||||||
\(464\) | −1.31308 | − | 2.87525i | −0.0609583 | − | 0.133480i | ||||
\(465\) | −5.65021 | − | 1.65905i | −0.262022 | − | 0.0769366i | ||||
\(466\) | 3.55839 | − | 7.79180i | 0.164839 | − | 0.360948i | ||||
\(467\) | −6.24854 | + | 7.21120i | −0.289148 | + | 0.333695i | −0.881676 | − | 0.471855i | \(-0.843584\pi\) |
0.592528 | + | 0.805550i | \(0.298130\pi\) | |||||||
\(468\) | 0.345984 | − | 2.40637i | 0.0159931 | − | 0.111235i | ||||
\(469\) | 1.49624 | − | 0.439336i | 0.0690901 | − | 0.0202867i | ||||
\(470\) | −5.99846 | − | 6.92260i | −0.276689 | − | 0.319316i | ||||
\(471\) | −17.7522 | + | 11.4086i | −0.817976 | + | 0.525682i | ||||
\(472\) | −12.3445 | + | 7.93332i | −0.568201 | + | 0.365160i | ||||
\(473\) | −35.9986 | − | 41.5446i | −1.65522 | − | 1.91022i | ||||
\(474\) | 8.48425 | − | 2.49120i | 0.389694 | − | 0.114425i | ||||
\(475\) | 0.0379046 | − | 0.263632i | 0.00173918 | − | 0.0120963i | ||||
\(476\) | −1.95845 | + | 2.26017i | −0.0897652 | + | 0.103595i | ||||
\(477\) | 5.60471 | − | 12.2726i | 0.256622 | − | 0.561924i | ||||
\(478\) | 9.40863 | + | 2.76262i | 0.430341 | + | 0.126359i | ||||
\(479\) | −3.31305 | − | 7.25457i | −0.151377 | − | 0.331470i | 0.818718 | − | 0.574196i | \(-0.194685\pi\) |
−0.970095 | + | 0.242727i | \(0.921958\pi\) | |||||||
\(480\) | −0.142315 | − | 0.989821i | −0.00649575 | − | 0.0451790i | ||||
\(481\) | −23.9386 | − | 15.3844i | −1.09151 | − | 0.701469i | ||||
\(482\) | 4.62328 | 0.210585 | ||||||||
\(483\) | −4.96022 | + | 5.26900i | −0.225698 | + | 0.239748i | ||||
\(484\) | 9.17929 | 0.417240 | ||||||||
\(485\) | −10.0438 | − | 6.45476i | −0.456065 | − | 0.293095i | ||||
\(486\) | −0.142315 | − | 0.989821i | −0.00645553 | − | 0.0448992i | ||||
\(487\) | 4.36703 | + | 9.56245i | 0.197889 | + | 0.433316i | 0.982398 | − | 0.186802i | \(-0.0598121\pi\) |
−0.784509 | + | 0.620118i | \(0.787085\pi\) | |||||||
\(488\) | −5.89176 | − | 1.72998i | −0.266707 | − | 0.0783123i | ||||
\(489\) | 5.20781 | − | 11.4035i | 0.235505 | − | 0.515684i | ||||
\(490\) | −3.09304 | + | 3.56956i | −0.139730 | + | 0.161256i | ||||
\(491\) | −3.62930 | + | 25.2423i | −0.163788 | + | 1.13917i | 0.727624 | + | 0.685977i | \(0.240625\pi\) |
−0.891412 | + | 0.453194i | \(0.850284\pi\) | |||||||
\(492\) | −7.39839 | + | 2.17236i | −0.333545 | + | 0.0979377i | ||||
\(493\) | −4.10261 | − | 4.73466i | −0.184772 | − | 0.213238i | ||||
\(494\) | −0.544721 | + | 0.350071i | −0.0245082 | + | 0.0157504i | ||||
\(495\) | −3.77903 | + | 2.42863i | −0.169855 | + | 0.109159i | ||||
\(496\) | 3.85631 | + | 4.45042i | 0.173153 | + | 0.199830i | ||||
\(497\) | 9.42886 | − | 2.76856i | 0.422942 | − | 0.124187i | ||||
\(498\) | 1.06107 | − | 7.37992i | 0.0475478 | − | 0.330702i | ||||
\(499\) | 14.9772 | − | 17.2846i | 0.670472 | − | 0.773766i | −0.313978 | − | 0.949430i | \(-0.601662\pi\) |
0.984450 | + | 0.175665i | \(0.0562074\pi\) | |||||||
\(500\) | 0.415415 | − | 0.909632i | 0.0185779 | − | 0.0406800i | ||||
\(501\) | 4.90003 | + | 1.43878i | 0.218917 | + | 0.0642799i | ||||
\(502\) | −0.716666 | − | 1.56928i | −0.0319864 | − | 0.0700404i | ||||
\(503\) | −2.57583 | − | 17.9153i | −0.114850 | − | 0.798802i | −0.963088 | − | 0.269187i | \(-0.913245\pi\) |
0.848238 | − | 0.529616i | \(-0.177664\pi\) | |||||||
\(504\) | 1.26937 | + | 0.815775i | 0.0565423 | + | 0.0363375i | ||||
\(505\) | −0.956291 | −0.0425544 | ||||||||
\(506\) | −3.94216 | + | 21.1798i | −0.175250 | + | 0.941556i | ||||
\(507\) | 7.08967 | 0.314863 | ||||||||
\(508\) | 4.09035 | + | 2.62871i | 0.181480 | + | 0.116630i | ||||
\(509\) | −2.05382 | − | 14.2846i | −0.0910340 | − | 0.633155i | −0.983347 | − | 0.181738i | \(-0.941828\pi\) |
0.892313 | − | 0.451417i | \(-0.149081\pi\) | |||||||
\(510\) | −0.823348 | − | 1.80288i | −0.0364585 | − | 0.0798329i | ||||
\(511\) | −2.36876 | − | 0.695532i | −0.104788 | − | 0.0307685i | ||||
\(512\) | −0.415415 | + | 0.909632i | −0.0183589 | + | 0.0402004i | ||||
\(513\) | −0.174418 | + | 0.201289i | −0.00770073 | + | 0.00888712i | ||||
\(514\) | 4.20937 | − | 29.2768i | 0.185667 | − | 1.29134i | ||||
\(515\) | 7.21525 | − | 2.11859i | 0.317942 | − | 0.0933562i | ||||
\(516\) | −8.01370 | − | 9.24830i | −0.352783 | − | 0.407134i | ||||
\(517\) | 34.6155 | − | 22.2460i | 1.52239 | − | 0.978380i | ||||
\(518\) | 14.8578 | − | 9.54854i | 0.652815 | − | 0.419539i | ||||
\(519\) | 8.72510 | + | 10.0693i | 0.382989 | + | 0.441993i | ||||
\(520\) | −2.33264 | + | 0.684925i | −0.102293 | + | 0.0300359i | ||||
\(521\) | 2.62454 | − | 18.2541i | 0.114983 | − | 0.799726i | −0.847967 | − | 0.530048i | \(-0.822174\pi\) |
0.962951 | − | 0.269678i | \(-0.0869171\pi\) | |||||||
\(522\) | −2.06994 | + | 2.38884i | −0.0905990 | + | 0.104557i | ||||
\(523\) | −11.4827 | + | 25.1436i | −0.502103 | + | 1.09945i | 0.473677 | + | 0.880698i | \(0.342926\pi\) |
−0.975780 | + | 0.218753i | \(0.929801\pi\) | |||||||
\(524\) | 14.1039 | + | 4.14129i | 0.616133 | + | 0.180913i | ||||
\(525\) | 0.626821 | + | 1.37255i | 0.0273567 | + | 0.0599029i | ||||
\(526\) | 2.35841 | + | 16.4031i | 0.102831 | + | 0.715208i | ||||
\(527\) | 9.81863 | + | 6.31005i | 0.427706 | + | 0.274870i | ||||
\(528\) | 4.49214 | 0.195495 | ||||||||
\(529\) | −21.4597 | − | 8.27523i | −0.933032 | − | 0.359792i | ||||
\(530\) | −13.4918 | −0.586048 | ||||||||
\(531\) | 12.3445 | + | 7.93332i | 0.535705 | + | 0.344277i | ||||
\(532\) | −0.0571944 | − | 0.397796i | −0.00247969 | − | 0.0172466i | ||||
\(533\) | 7.78724 | + | 17.0517i | 0.337303 | + | 0.738590i | ||||
\(534\) | 6.39207 | + | 1.87688i | 0.276612 | + | 0.0812206i | ||||
\(535\) | −3.46264 | + | 7.58213i | −0.149703 | + | 0.327804i | ||||
\(536\) | 0.676780 | − | 0.781046i | 0.0292325 | − | 0.0337361i | ||||
\(537\) | 0.856977 | − | 5.96041i | 0.0369813 | − | 0.257211i | ||||
\(538\) | 6.59761 | − | 1.93723i | 0.284443 | − | 0.0835200i | ||||
\(539\) | −13.8944 | − | 16.0350i | −0.598473 | − | 0.690675i | ||||
\(540\) | −0.841254 | + | 0.540641i | −0.0362018 | + | 0.0232655i | ||||
\(541\) | −27.5396 | + | 17.6986i | −1.18402 | + | 0.760924i | −0.976121 | − | 0.217226i | \(-0.930299\pi\) |
−0.207899 | + | 0.978150i | \(0.566663\pi\) | |||||||
\(542\) | 15.1848 | + | 17.5242i | 0.652243 | + | 0.752729i | ||||
\(543\) | −8.27532 | + | 2.42985i | −0.355128 | + | 0.104275i | ||||
\(544\) | −0.282066 | + | 1.96181i | −0.0120935 | + | 0.0841121i | ||||
\(545\) | 2.13524 | − | 2.46419i | 0.0914634 | − | 0.105554i | ||||
\(546\) | 1.52388 | − | 3.33682i | 0.0652158 | − | 0.142803i | ||||
\(547\) | −11.7363 | − | 3.44609i | −0.501808 | − | 0.147344i | 0.0210258 | − | 0.999779i | \(-0.493307\pi\) |
−0.522833 | + | 0.852435i | \(0.675125\pi\) | |||||||
\(548\) | 6.46078 | + | 14.1471i | 0.275991 | + | 0.604335i | ||||
\(549\) | 0.873883 | + | 6.07799i | 0.0372964 | + | 0.259402i | ||||
\(550\) | 3.77903 | + | 2.42863i | 0.161138 | + | 0.103557i | ||||
\(551\) | 0.841882 | 0.0358654 | ||||||||
\(552\) | −0.877569 | + | 4.71486i | −0.0373518 | + | 0.200678i | ||||
\(553\) | 13.3424 | 0.567375 | ||||||||
\(554\) | −4.38215 | − | 2.81624i | −0.186180 | − | 0.119650i | ||||
\(555\) | 1.66578 | + | 11.5857i | 0.0707083 | + | 0.491787i | ||||
\(556\) | −2.34438 | − | 5.13349i | −0.0994240 | − | 0.217708i | ||||
\(557\) | −6.65762 | − | 1.95485i | −0.282092 | − | 0.0828297i | 0.137626 | − | 0.990484i | \(-0.456053\pi\) |
−0.419718 | + | 0.907655i | \(0.637871\pi\) | |||||||
\(558\) | 2.44627 | − | 5.35659i | 0.103559 | − | 0.226763i | ||||
\(559\) | −19.4822 | + | 22.4837i | −0.824011 | + | 0.950959i | ||||
\(560\) | 0.214739 | − | 1.49355i | 0.00907440 | − | 0.0631138i | ||||
\(561\) | 8.54271 | − | 2.50837i | 0.360674 | − | 0.105903i | ||||
\(562\) | −18.1892 | − | 20.9914i | −0.767263 | − | 0.885469i | ||||
\(563\) | −14.4649 | + | 9.29601i | −0.609622 | + | 0.391780i | −0.808715 | − | 0.588200i | \(-0.799837\pi\) |
0.199093 | + | 0.979981i | \(0.436200\pi\) | |||||||
\(564\) | 7.70580 | − | 4.95222i | 0.324473 | − | 0.208526i | ||||
\(565\) | 8.75146 | + | 10.0997i | 0.368177 | + | 0.424898i | ||||
\(566\) | 18.5148 | − | 5.43645i | 0.778237 | − | 0.228511i | ||||
\(567\) | 0.214739 | − | 1.49355i | 0.00901821 | − | 0.0627230i | ||||
\(568\) | 4.26486 | − | 4.92191i | 0.178950 | − | 0.206519i | ||||
\(569\) | −7.17424 | + | 15.7094i | −0.300760 | + | 0.658573i | −0.998319 | − | 0.0579546i | \(-0.981542\pi\) |
0.697559 | + | 0.716527i | \(0.254269\pi\) | |||||||
\(570\) | 0.255554 | + | 0.0750376i | 0.0107040 | + | 0.00314298i | ||||
\(571\) | −3.63709 | − | 7.96411i | −0.152207 | − | 0.333288i | 0.818134 | − | 0.575028i | \(-0.195009\pi\) |
−0.970341 | + | 0.241741i | \(0.922282\pi\) | |||||||
\(572\) | −1.55421 | − | 10.8097i | −0.0649847 | − | 0.451978i | ||||
\(573\) | 18.6198 | + | 11.9662i | 0.777855 | + | 0.499897i | ||||
\(574\) | −11.6348 | −0.485625 | ||||||||
\(575\) | −3.28730 | + | 3.49194i | −0.137090 | + | 0.145624i | ||||
\(576\) | 1.00000 | 0.0416667 | ||||||||
\(577\) | −11.7747 | − | 7.56714i | −0.490187 | − | 0.315024i | 0.272093 | − | 0.962271i | \(-0.412284\pi\) |
−0.762281 | + | 0.647247i | \(0.775920\pi\) | |||||||
\(578\) | −1.86030 | − | 12.9387i | −0.0773783 | − | 0.538178i | ||||
\(579\) | 8.87931 | + | 19.4430i | 0.369012 | + | 0.808023i | ||||
\(580\) | 3.03285 | + | 0.890526i | 0.125932 | + | 0.0369771i | ||||
\(581\) | 4.67346 | − | 10.2334i | 0.193888 | − | 0.424555i | ||||
\(582\) | 7.81844 | − | 9.02296i | 0.324085 | − | 0.374014i | ||||
\(583\) | 8.62530 | − | 59.9903i | 0.357223 | − | 2.48454i | ||||
\(584\) | −1.56986 | + | 0.460952i | −0.0649612 | + | 0.0190743i | ||||
\(585\) | 1.59204 | + | 1.83732i | 0.0658229 | + | 0.0759636i | ||||
\(586\) | −11.4015 | + | 7.32731i | −0.470993 | + | 0.302689i | ||||
\(587\) | 9.14073 | − | 5.87439i | 0.377278 | − | 0.242462i | −0.338234 | − | 0.941062i | \(-0.609830\pi\) |
0.715513 | + | 0.698600i | \(0.246193\pi\) | |||||||
\(588\) | −3.09304 | − | 3.56956i | −0.127555 | − | 0.147206i | ||||
\(589\) | −1.50489 | + | 0.441877i | −0.0620081 | + | 0.0182072i | ||||
\(590\) | 2.08832 | − | 14.5246i | 0.0859746 | − | 0.597966i | ||||
\(591\) | 0.515432 | − | 0.594841i | 0.0212021 | − | 0.0244685i | ||||
\(592\) | 4.86238 | − | 10.6471i | 0.199842 | − | 0.437594i | ||||
\(593\) | −35.2755 | − | 10.3578i | −1.44859 | − | 0.425345i | −0.539516 | − | 0.841975i | \(-0.681393\pi\) |
−0.909076 | + | 0.416630i | \(0.863211\pi\) | |||||||
\(594\) | −1.86610 | − | 4.08619i | −0.0765670 | − | 0.167658i | ||||
\(595\) | −0.425611 | − | 2.96019i | −0.0174484 | − | 0.121356i | ||||
\(596\) | 3.32180 | + | 2.13479i | 0.136066 | + | 0.0874445i | ||||
\(597\) | 10.0699 | 0.412133 | ||||||||
\(598\) | 11.6493 | + | 0.480493i | 0.476376 | + | 0.0196488i | ||||
\(599\) | −11.4056 | −0.466021 | −0.233010 | − | 0.972474i | \(-0.574858\pi\) | ||||
−0.233010 | + | 0.972474i | \(0.574858\pi\) | |||||||
\(600\) | 0.841254 | + | 0.540641i | 0.0343440 | + | 0.0220716i | ||||
\(601\) | 0.726756 | + | 5.05470i | 0.0296450 | + | 0.206186i | 0.999261 | − | 0.0384480i | \(-0.0122414\pi\) |
−0.969616 | + | 0.244634i | \(0.921332\pi\) | |||||||
\(602\) | −7.67057 | − | 16.7962i | −0.312629 | − | 0.684562i | ||||
\(603\) | −0.991609 | − | 0.291163i | −0.0403814 | − | 0.0118571i | ||||
\(604\) | 6.09270 | − | 13.3411i | 0.247908 | − | 0.542843i | ||||
\(605\) | −6.01115 | + | 6.93724i | −0.244388 | + | 0.282039i | ||||
\(606\) | 0.136094 | − | 0.946557i | 0.00552846 | − | 0.0384513i | ||||
\(607\) | 39.9415 | − | 11.7279i | 1.62117 | − | 0.476020i | 0.659841 | − | 0.751405i | \(-0.270624\pi\) |
0.961334 | + | 0.275385i | \(0.0888055\pi\) | |||||||
\(608\) | −0.174418 | − | 0.201289i | −0.00707357 | − | 0.00816334i | ||||
\(609\) | −4.01234 | + | 2.57858i | −0.162588 | + | 0.104489i | ||||
\(610\) | 5.16571 | − | 3.31980i | 0.209153 | − | 0.134415i | ||||
\(611\) | −14.5830 | − | 16.8296i | −0.589964 | − | 0.680854i | ||||
\(612\) | 1.90170 | − | 0.558391i | 0.0768718 | − | 0.0225716i | ||||
\(613\) | 2.29246 | − | 15.9444i | 0.0925915 | − | 0.643988i | −0.889688 | − | 0.456568i | \(-0.849078\pi\) |
0.982280 | − | 0.187420i | \(-0.0600125\pi\) | |||||||
\(614\) | 12.7877 | − | 14.7578i | 0.516071 | − | 0.595578i | ||||
\(615\) | 3.20315 | − | 7.01393i | 0.129164 | − | 0.282829i | ||||
\(616\) | 6.50364 | + | 1.90964i | 0.262039 | + | 0.0769416i | ||||
\(617\) | 0.598069 | + | 1.30959i | 0.0240774 | + | 0.0527221i | 0.921289 | − | 0.388880i | \(-0.127138\pi\) |
−0.897211 | + | 0.441602i | \(0.854410\pi\) | |||||||
\(618\) | 1.07019 | + | 7.44332i | 0.0430493 | + | 0.299414i | ||||
\(619\) | −6.58051 | − | 4.22904i | −0.264493 | − | 0.169979i | 0.401672 | − | 0.915784i | \(-0.368429\pi\) |
−0.666165 | + | 0.745804i | \(0.732065\pi\) | |||||||
\(620\) | −5.88874 | −0.236498 | ||||||||
\(621\) | 4.65334 | − | 1.16036i | 0.186732 | − | 0.0465635i | ||||
\(622\) | −9.23059 | −0.370113 | ||||||||
\(623\) | 8.45645 | + | 5.43463i | 0.338801 | + | 0.217734i | ||||
\(624\) | −0.345984 | − | 2.40637i | −0.0138504 | − | 0.0963319i | ||||
\(625\) | 0.415415 | + | 0.909632i | 0.0166166 | + | 0.0363853i | ||||
\(626\) | 17.6962 | + | 5.19606i | 0.707280 | + | 0.207676i | ||||
\(627\) | −0.497023 | + | 1.08833i | −0.0198492 | + | 0.0434637i | ||||
\(628\) | −13.8189 | + | 15.9479i | −0.551434 | + | 0.636389i | ||||
\(629\) | 3.30155 | − | 22.9628i | 0.131641 | − | 0.915586i | ||||
\(630\) | −1.44778 | + | 0.425107i | −0.0576810 | + | 0.0169367i | ||||
\(631\) | −29.8129 | − | 34.4059i | −1.18683 | − | 1.36968i | −0.913030 | − | 0.407893i | \(-0.866264\pi\) |
−0.273803 | − | 0.961786i | \(-0.588282\pi\) | |||||||
\(632\) | 7.43873 | − | 4.78058i | 0.295897 | − | 0.190161i | ||||
\(633\) | 10.0568 | − | 6.46314i | 0.399724 | − | 0.256887i | ||||
\(634\) | 8.69314 | + | 10.0324i | 0.345249 | + | 0.398438i | ||||
\(635\) | −4.66526 | + | 1.36984i | −0.185135 | + | 0.0543605i | ||||
\(636\) | 1.92009 | − | 13.3545i | 0.0761365 | − | 0.529541i | ||||
\(637\) | −7.51955 | + | 8.67803i | −0.297935 | + | 0.343836i | ||||
\(638\) | −5.89854 | + | 12.9160i | −0.233526 | + | 0.511350i | ||||
\(639\) | −6.24882 | − | 1.83482i | −0.247199 | − | 0.0725843i | ||||
\(640\) | −0.415415 | − | 0.909632i | −0.0164207 | − | 0.0359564i | ||||
\(641\) | 4.57846 | + | 31.8439i | 0.180838 | + | 1.25776i | 0.854787 | + | 0.518979i | \(0.173688\pi\) |
−0.673948 | + | 0.738778i | \(0.735403\pi\) | |||||||
\(642\) | −7.01217 | − | 4.50645i | −0.276748 | − | 0.177855i | ||||
\(643\) | 26.4239 | 1.04206 | 0.521028 | − | 0.853539i | \(-0.325549\pi\) | ||||
0.521028 | + | 0.853539i | \(0.325549\pi\) | |||||||
\(644\) | −3.27485 | + | 6.45303i | −0.129047 | + | 0.254285i | ||||
\(645\) | 12.2373 | 0.481841 | ||||||||
\(646\) | −0.444089 | − | 0.285398i | −0.0174724 | − | 0.0112289i | ||||
\(647\) | −6.01302 | − | 41.8215i | −0.236396 | − | 1.64417i | −0.669488 | − | 0.742823i | \(-0.733486\pi\) |
0.433091 | − | 0.901350i | \(-0.357423\pi\) | |||||||
\(648\) | −0.415415 | − | 0.909632i | −0.0163190 | − | 0.0357337i | ||||
\(649\) | 63.2471 | + | 18.5710i | 2.48267 | + | 0.728976i | ||||
\(650\) | 1.00992 | − | 2.21142i | 0.0396124 | − | 0.0867391i | ||||
\(651\) | 5.81880 | − | 6.71525i | 0.228057 | − | 0.263191i | ||||
\(652\) | 1.78412 | − | 12.4088i | 0.0698714 | − | 0.485966i | ||||
\(653\) | 0.808083 | − | 0.237275i | 0.0316227 | − | 0.00928527i | −0.265883 | − | 0.964005i | \(-0.585663\pi\) |
0.297506 | + | 0.954720i | \(0.403845\pi\) | |||||||
\(654\) | 2.13524 | + | 2.46419i | 0.0834943 | + | 0.0963576i | ||||
\(655\) | −12.3659 | + | 7.94708i | −0.483175 | + | 0.310518i | ||||
\(656\) | −6.48668 | + | 4.16874i | −0.253262 | + | 0.162762i | ||||
\(657\) | 1.07144 | + | 1.23651i | 0.0418008 | + | 0.0482407i | ||||
\(658\) | 13.2616 | − | 3.89394i | 0.516989 | − | 0.151802i | ||||
\(659\) | 1.88262 | − | 13.0939i | 0.0733366 | − | 0.510067i | −0.919733 | − | 0.392543i | \(-0.871595\pi\) |
0.993070 | − | 0.117524i | \(-0.0374957\pi\) | |||||||
\(660\) | −2.94172 | + | 3.39493i | −0.114506 | + | 0.132147i | ||||
\(661\) | 1.09699 | − | 2.40208i | 0.0426681 | − | 0.0934300i | −0.887098 | − | 0.461582i | \(-0.847282\pi\) |
0.929766 | + | 0.368152i | \(0.120009\pi\) | |||||||
\(662\) | 18.6948 | + | 5.48928i | 0.726592 | + | 0.213347i | ||||
\(663\) | −2.00165 | − | 4.38301i | −0.0777378 | − | 0.170222i | ||||
\(664\) | −1.06107 | − | 7.37992i | −0.0411776 | − | 0.286396i | ||||
\(665\) | 0.338088 | + | 0.217276i | 0.0131105 | + | 0.00842561i | ||||
\(666\) | −11.7049 | −0.453554 | ||||||||
\(667\) | −12.4041 | − | 8.71422i | −0.480287 | − | 0.337416i | ||||
\(668\) | 5.10690 | 0.197592 | ||||||||
\(669\) | 4.92079 | + | 3.16240i | 0.190249 | + | 0.122265i | ||||
\(670\) | 0.147078 | + | 1.02295i | 0.00568213 | + | 0.0395201i | ||||
\(671\) | 11.4588 | + | 25.0912i | 0.442361 | + | 0.968636i | ||||
\(672\) | 1.44778 | + | 0.425107i | 0.0558494 | + | 0.0163989i | ||||
\(673\) | −11.8554 | + | 25.9598i | −0.456993 | + | 1.00068i | 0.531169 | + | 0.847266i | \(0.321753\pi\) |
−0.988163 | + | 0.153410i | \(0.950974\pi\) | |||||||
\(674\) | 5.60847 | − | 6.47252i | 0.216030 | − | 0.249312i | ||||
\(675\) | 0.142315 | − | 0.989821i | 0.00547770 | − | 0.0380982i | ||||
\(676\) | 6.80249 | − | 1.99739i | 0.261634 | − | 0.0768228i | ||||
\(677\) | 16.0227 | + | 18.4912i | 0.615802 | + | 0.710673i | 0.974904 | − | 0.222625i | \(-0.0714625\pi\) |
−0.359102 | + | 0.933298i | \(0.616917\pi\) | |||||||
\(678\) | −11.2424 | + | 7.22504i | −0.431761 | + | 0.277476i | ||||
\(679\) | 15.1551 | − | 9.73960i | 0.581600 | − | 0.373772i | ||||
\(680\) | −1.29793 | − | 1.49789i | −0.0497732 | − | 0.0574413i | ||||
\(681\) | −24.2554 | + | 7.12202i | −0.929468 | + | 0.272916i | ||||
\(682\) | 3.76466 | − | 26.1838i | 0.144156 | − | 1.00263i | ||||
\(683\) | 17.2624 | − | 19.9219i | 0.660528 | − | 0.762289i | −0.322336 | − | 0.946625i | \(-0.604468\pi\) |
0.982863 | + | 0.184336i | \(0.0590135\pi\) | |||||||
\(684\) | −0.110643 | + | 0.242274i | −0.00423054 | + | 0.00926359i | ||||
\(685\) | −14.9226 | − | 4.38167i | −0.570163 | − | 0.167415i | ||||
\(686\) | −7.34836 | − | 16.0907i | −0.280562 | − | 0.614344i | ||||
\(687\) | 1.33569 | + | 9.28995i | 0.0509599 | + | 0.354434i | ||||
\(688\) | −10.2946 | − | 6.61596i | −0.392479 | − | 0.252231i | ||||
\(689\) | −32.8002 | −1.24959 | ||||||||
\(690\) | −2.98857 | − | 3.75080i | −0.113773 | − | 0.142790i | ||||
\(691\) | 37.7620 | 1.43653 | 0.718267 | − | 0.695767i | \(-0.244936\pi\) | ||||
0.718267 | + | 0.695767i | \(0.244936\pi\) | |||||||
\(692\) | 11.2085 | + | 7.20328i | 0.426084 | + | 0.273828i | ||||
\(693\) | −0.964639 | − | 6.70921i | −0.0366436 | − | 0.254862i | ||||
\(694\) | −5.70953 | − | 12.5021i | −0.216731 | − | 0.474575i | ||||
\(695\) | 5.41488 | + | 1.58995i | 0.205398 | + | 0.0603103i | ||||
\(696\) | −1.31308 | + | 2.87525i | −0.0497723 | + | 0.108986i | ||||
\(697\) | −10.0080 | + | 11.5498i | −0.379079 | + | 0.437480i | ||||
\(698\) | −0.432594 | + | 3.00876i | −0.0163739 | + | 0.113883i | ||||
\(699\) | −8.21890 | + | 2.41329i | −0.310867 | + | 0.0912789i | ||||
\(700\) | 0.988122 | + | 1.14035i | 0.0373475 | + | 0.0431013i | ||||
\(701\) | −2.93273 | + | 1.88475i | −0.110768 | + | 0.0711862i | −0.594852 | − | 0.803835i | \(-0.702789\pi\) |
0.484084 | + | 0.875022i | \(0.339153\pi\) | |||||||
\(702\) | −2.04519 | + | 1.31436i | −0.0771905 | + | 0.0496074i | ||||
\(703\) | 2.04154 | + | 2.35606i | 0.0769980 | + | 0.0888604i | ||||
\(704\) | 4.31017 | − | 1.26558i | 0.162446 | − | 0.0476984i | ||||
\(705\) | −1.30359 | + | 9.06667i | −0.0490961 | + | 0.341471i | ||||
\(706\) | 8.96476 | − | 10.3459i | 0.337393 | − | 0.389373i | ||||
\(707\) | 0.599423 | − | 1.31255i | 0.0225436 | − | 0.0493637i | ||||
\(708\) | 14.0795 | + | 4.13412i | 0.529141 | + | 0.155370i | ||||
\(709\) | −3.94794 | − | 8.64478i | −0.148268 | − | 0.324662i | 0.820896 | − | 0.571077i | \(-0.193474\pi\) |
−0.969164 | + | 0.246416i | \(0.920747\pi\) | |||||||
\(710\) | 0.926843 | + | 6.44633i | 0.0347838 | + | 0.241927i | ||||
\(711\) | −7.43873 | − | 4.78058i | −0.278974 | − | 0.179286i | ||||
\(712\) | 6.66192 | 0.249666 | ||||||||
\(713\) | 26.7465 | + | 9.06649i | 1.00167 | + | 0.339543i | ||||
\(714\) | 2.99063 | 0.111922 | ||||||||
\(715\) | 9.18725 | + | 5.90429i | 0.343584 | + | 0.220808i | ||||
\(716\) | −0.856977 | − | 5.96041i | −0.0320267 | − | 0.222751i | ||||
\(717\) | −4.07349 | − | 8.91970i | −0.152127 | − | 0.333112i | ||||
\(718\) | 3.02720 | + | 0.888865i | 0.112974 | + | 0.0331721i | ||||
\(719\) | 3.79737 | − | 8.31509i | 0.141618 | − | 0.310100i | −0.825511 | − | 0.564386i | \(-0.809113\pi\) |
0.967129 | + | 0.254286i | \(0.0818403\pi\) | |||||||
\(720\) | −0.654861 | + | 0.755750i | −0.0244052 | + | 0.0281651i | ||||
\(721\) | −1.61481 | + | 11.2313i | −0.0601387 | + | 0.418274i | ||||
\(722\) | −18.1623 | + | 5.33293i | −0.675931 | + | 0.198471i | ||||
\(723\) | −3.02760 | − | 3.49404i | −0.112598 | − | 0.129945i | ||||
\(724\) | −7.25554 | + | 4.66285i | −0.269650 | + | 0.173294i | ||||
\(725\) | −2.65911 | + | 1.70891i | −0.0987569 | + | 0.0634672i | ||||
\(726\) | −6.01115 | − | 6.93724i | −0.223095 | − | 0.257465i | ||||
\(727\) | −7.93850 | + | 2.33095i | −0.294423 | + | 0.0864503i | −0.425608 | − | 0.904908i | \(-0.639940\pi\) |
0.131185 | + | 0.991358i | \(0.458122\pi\) | |||||||
\(728\) | 0.522056 | − | 3.63098i | 0.0193487 | − | 0.134573i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 0.679674 | − | 1.48828i | 0.0251559 | − | 0.0550837i | ||||
\(731\) | −23.2716 | − | 6.83317i | −0.860733 | − | 0.252734i | ||||
\(732\) | 2.55085 | + | 5.58559i | 0.0942822 | + | 0.206449i | ||||
\(733\) | 1.99104 | + | 13.8480i | 0.0735408 | + | 0.511487i | 0.992983 | + | 0.118261i | \(0.0377320\pi\) |
−0.919442 | + | 0.393226i | \(0.871359\pi\) | |||||||
\(734\) | 10.9965 | + | 7.06700i | 0.405887 | + | 0.260848i | ||||
\(735\) | 4.72321 | 0.174218 | ||||||||
\(736\) | 0.486307 | + | 4.77111i | 0.0179255 | + | 0.175866i | ||||
\(737\) | −4.64250 | −0.171009 | ||||||||
\(738\) | 6.48668 | + | 4.16874i | 0.238778 | + | 0.153453i | ||||
\(739\) | 6.62107 | + | 46.0505i | 0.243560 | + | 1.69400i | 0.633972 | + | 0.773356i | \(0.281424\pi\) |
−0.390412 | + | 0.920640i | \(0.627667\pi\) | |||||||
\(740\) | 4.86238 | + | 10.6471i | 0.178745 | + | 0.391396i | ||||
\(741\) | 0.621283 | + | 0.182425i | 0.0228234 | + | 0.00670155i | ||||
\(742\) | 8.45697 | − | 18.5182i | 0.310465 | − | 0.679824i | ||||
\(743\) | −31.1322 | + | 35.9285i | −1.14213 | + | 1.31809i | −0.201177 | + | 0.979555i | \(0.564477\pi\) |
−0.940954 | + | 0.338534i | \(0.890069\pi\) | |||||||
\(744\) | 0.838056 | − | 5.82881i | 0.0307246 | − | 0.213694i | ||||
\(745\) | −3.78869 | + | 1.11246i | −0.138807 | + | 0.0407573i | ||||
\(746\) | 16.7776 | + | 19.3624i | 0.614271 | + | 0.708906i | ||||
\(747\) | −6.27222 | + | 4.03091i | −0.229489 | + | 0.147483i | ||||
\(748\) | 7.48999 | − | 4.81352i | 0.273861 | − | 0.176000i | ||||
\(749\) | −8.23637 | − | 9.50528i | −0.300950 | − | 0.347315i | ||||
\(750\) | −0.959493 | + | 0.281733i | −0.0350357 | + | 0.0102874i | ||||
\(751\) | 0.134564 | − | 0.935913i | 0.00491031 | − | 0.0341519i | −0.987219 | − | 0.159370i | \(-0.949054\pi\) |
0.992129 | + | 0.125218i | \(0.0399629\pi\) | |||||||
\(752\) | 5.99846 | − | 6.92260i | 0.218741 | − | 0.252441i | ||||
\(753\) | −0.716666 | + | 1.56928i | −0.0261168 | + | 0.0571878i | ||||
\(754\) | 7.37322 | + | 2.16497i | 0.268517 | + | 0.0788437i | ||||
\(755\) | 6.09270 | + | 13.3411i | 0.221736 | + | 0.485534i | ||||
\(756\) | −0.214739 | − | 1.49355i | −0.00781000 | − | 0.0543197i | ||||
\(757\) | −28.3898 | − | 18.2450i | −1.03185 | − | 0.663127i | −0.0888889 | − | 0.996042i | \(-0.528332\pi\) |
−0.942957 | + | 0.332914i | \(0.891968\pi\) | |||||||
\(758\) | 20.3046 | 0.737495 | ||||||||
\(759\) | 18.5882 | − | 10.8905i | 0.674708 | − | 0.395301i | ||||
\(760\) | 0.266343 | 0.00966128 | ||||||||
\(761\) | 43.5888 | + | 28.0128i | 1.58009 | + | 1.01546i | 0.975790 | + | 0.218708i | \(0.0701844\pi\) |
0.604302 | + | 0.796755i | \(0.293452\pi\) | |||||||
\(762\) | −0.691964 | − | 4.81272i | −0.0250672 | − | 0.174346i | ||||
\(763\) | 2.04381 | + | 4.47532i | 0.0739909 | + | 0.162017i | ||||
\(764\) | 21.2369 | + | 6.23571i | 0.768324 | + | 0.225600i | ||||
\(765\) | −0.823348 | + | 1.80288i | −0.0297682 | + | 0.0651833i | ||||
\(766\) | −11.7978 | + | 13.6154i | −0.426272 | + | 0.491945i | ||||
\(767\) | 5.07694 | − | 35.3109i | 0.183318 | − | 1.27500i | ||||
\(768\) | 0.959493 | − | 0.281733i | 0.0346227 | − | 0.0101661i | ||||
\(769\) | −0.279205 | − | 0.322220i | −0.0100684 | − | 0.0116196i | 0.750693 | − | 0.660651i | \(-0.229720\pi\) |
−0.760761 | + | 0.649032i | \(0.775174\pi\) | |||||||
\(770\) | −5.70219 | + | 3.66457i | −0.205492 | + | 0.132062i | ||||
\(771\) | −24.8825 | + | 15.9910i | −0.896121 | + | 0.575902i | ||||
\(772\) | 13.9974 | + | 16.1538i | 0.503776 | + | 0.581388i | ||||
\(773\) | −50.5455 | + | 14.8415i | −1.81800 | + | 0.533812i | −0.999189 | − | 0.0402577i | \(-0.987182\pi\) |
−0.818807 | + | 0.574070i | \(0.805364\pi\) | |||||||
\(774\) | −1.74154 | + | 12.1127i | −0.0625985 | + | 0.435382i | ||||
\(775\) | 3.85631 | − | 4.45042i | 0.138523 | − | 0.159864i | ||||
\(776\) | 4.95967 | − | 10.8602i | 0.178042 | − | 0.389857i | ||||
\(777\) | −16.9461 | − | 4.97582i | −0.607938 | − | 0.178507i | ||||
\(778\) | −15.9089 | − | 34.8357i | −0.570363 | − | 1.24892i | ||||
\(779\) | −0.292272 | − | 2.03280i | −0.0104717 | − | 0.0728325i | ||||
\(780\) | 2.04519 | + | 1.31436i | 0.0732294 | + | 0.0470617i | ||||
\(781\) | −29.2556 | −1.04685 | ||||||||
\(782\) | 3.58896 | + | 8.80169i | 0.128341 | + | 0.314748i | ||||
\(783\) | 3.16089 | 0.112961 | ||||||||
\(784\) | −3.97342 | − | 2.55356i | −0.141908 | − | 0.0911986i | ||||
\(785\) | −3.00313 | − | 20.8872i | −0.107186 | − | 0.745498i | ||||
\(786\) | −6.10634 | − | 13.3710i | −0.217806 | − | 0.476928i | ||||
\(787\) | 49.4364 | + | 14.5158i | 1.76222 | + | 0.517434i | 0.992638 | − | 0.121118i | \(-0.0386480\pi\) |
0.769579 | + | 0.638552i | \(0.220466\pi\) | |||||||
\(788\) | 0.326968 | − | 0.715959i | 0.0116477 | − | 0.0255050i | ||||
\(789\) | 10.8522 | − | 12.5241i | 0.386348 | − | 0.445870i | ||||
\(790\) | −1.25841 | + | 8.75243i | −0.0447722 | + | 0.311397i | ||||
\(791\) | −19.3479 | + | 5.68107i | −0.687933 | + | 0.201995i | ||||
\(792\) | −2.94172 | − | 3.39493i | −0.104530 | − | 0.120634i | ||||
\(793\) | 12.5584 | − | 8.07082i | 0.445963 | − | 0.286603i | ||||
\(794\) | −8.22171 | + | 5.28377i | −0.291778 | + | 0.187514i | ||||
\(795\) | 8.83527 | + | 10.1964i | 0.313355 | + | 0.361631i | ||||
\(796\) | 9.66198 | − | 2.83701i | 0.342460 | − | 0.100555i | ||||
\(797\) | −0.870382 | + | 6.05364i | −0.0308305 | + | 0.214431i | −0.999413 | − | 0.0342621i | \(-0.989092\pi\) |
0.968582 | + | 0.248693i | \(0.0800010\pi\) | |||||||
\(798\) | −0.263180 | + | 0.303725i | −0.00931646 | + | 0.0107518i | ||||
\(799\) | 7.54179 | − | 16.5142i | 0.266809 | − | 0.584231i | ||||
\(800\) | 0.959493 | + | 0.281733i | 0.0339232 | + | 0.00996075i | ||||
\(801\) | −2.76746 | − | 6.05990i | −0.0977835 | − | 0.214116i | ||||
\(802\) | −1.45644 | − | 10.1298i | −0.0514288 | − | 0.357695i | ||||
\(803\) | 6.18299 | + | 3.97356i | 0.218193 | + | 0.140224i | ||||
\(804\) | −1.03347 | −0.0364477 | ||||||||
\(805\) | −2.73230 | − | 6.70080i | −0.0963010 | − | 0.236172i | ||||
\(806\) | −14.3162 | −0.504267 | ||||||||
\(807\) | −5.78458 | − | 3.71752i | −0.203627 | − | 0.130863i | ||||
\(808\) | −0.136094 | − | 0.946557i | −0.00478778 | − | 0.0332998i | ||||
\(809\) | 18.0175 | + | 39.4529i | 0.633462 | + | 1.38709i | 0.905311 | + | 0.424749i | \(0.139638\pi\) |
−0.271849 | + | 0.962340i | \(0.587635\pi\) | |||||||
\(810\) | 0.959493 | + | 0.281733i | 0.0337131 | + | 0.00989907i | ||||
\(811\) | 0.612312 | − | 1.34078i | 0.0215012 | − | 0.0470810i | −0.898577 | − | 0.438816i | \(-0.855398\pi\) |
0.920078 | + | 0.391735i | \(0.128125\pi\) | |||||||
\(812\) | −3.12335 | + | 3.60453i | −0.109608 | + | 0.126494i | ||||
\(813\) | 3.29997 | − | 22.9518i | 0.115735 | − | 0.804956i | ||||
\(814\) | −50.4500 | + | 14.8135i | −1.76827 | + | 0.519211i | ||||
\(815\) | 8.20959 | + | 9.47438i | 0.287570 | + | 0.331873i | ||||
\(816\) | 1.66735 | − | 1.07154i | 0.0583691 | − | 0.0375115i | ||||
\(817\) | 2.74191 | − | 1.76212i | 0.0959272 | − | 0.0616486i | ||||
\(818\) | 11.6218 | + | 13.4123i | 0.406347 | + | 0.468949i | ||||
\(819\) | −3.51973 | + | 1.03349i | −0.122989 | + | 0.0361129i | ||||
\(820\) | 1.09735 | − | 7.63225i | 0.0383212 | − | 0.266530i | ||||
\(821\) | −29.0901 | + | 33.5717i | −1.01525 | + | 1.17166i | −0.0301743 | + | 0.999545i | \(0.509606\pi\) |
−0.985076 | + | 0.172117i | \(0.944939\pi\) | |||||||
\(822\) | 6.46078 | − | 14.1471i | 0.225345 | − | 0.493438i | ||||
\(823\) | 28.5859 | + | 8.39357i | 0.996441 | + | 0.292581i | 0.738995 | − | 0.673711i | \(-0.235301\pi\) |
0.257446 | + | 0.966293i | \(0.417119\pi\) | |||||||
\(824\) | 3.12386 | + | 6.84031i | 0.108825 | + | 0.238293i | ||||
\(825\) | −0.639298 | − | 4.44641i | −0.0222575 | − | 0.154804i | ||||
\(826\) | 18.6266 | + | 11.9706i | 0.648103 | + | 0.416511i | ||||
\(827\) | −21.4101 | −0.744504 | −0.372252 | − | 0.928132i | \(-0.621414\pi\) | ||||
−0.372252 | + | 0.928132i | \(0.621414\pi\) | |||||||
\(828\) | 4.13794 | − | 2.42435i | 0.143803 | − | 0.0842520i | ||||
\(829\) | 24.5944 | 0.854199 | 0.427099 | − | 0.904205i | \(-0.359535\pi\) | ||||
0.427099 | + | 0.904205i | \(0.359535\pi\) | |||||||
\(830\) | 6.27222 | + | 4.03091i | 0.217712 | + | 0.139915i | ||||
\(831\) | 0.741328 | + | 5.15605i | 0.0257164 | + | 0.178861i | ||||
\(832\) | −1.00992 | − | 2.21142i | −0.0350128 | − | 0.0766672i | ||||
\(833\) | −8.98215 | − | 2.63740i | −0.311213 | − | 0.0913804i | ||||
\(834\) | −2.34438 | + | 5.13349i | −0.0811794 | + | 0.177758i | ||||
\(835\) | −3.34431 | + | 3.85953i | −0.115734 | + | 0.133565i | ||||
\(836\) | −0.170273 | + | 1.18427i | −0.00588900 | + | 0.0409589i | ||||
\(837\) | −5.65021 | + | 1.65905i | −0.195300 | + | 0.0573452i | ||||
\(838\) | −20.9606 | − | 24.1898i | −0.724072 | − | 0.835624i | ||||
\(839\) | 28.0493 | − | 18.0262i | 0.968369 | − | 0.622333i | 0.0420667 | − | 0.999115i | \(-0.486606\pi\) |
0.926302 | + | 0.376782i | \(0.122969\pi\) | |||||||
\(840\) | −1.26937 | + | 0.815775i | −0.0437974 | + | 0.0281469i | ||||
\(841\) | 12.4481 | + | 14.3659i | 0.429244 | + | 0.495375i | ||||
\(842\) | −21.5291 | + | 6.32150i | −0.741940 | + | 0.217853i | ||||
\(843\) | −3.95288 | + | 27.4929i | −0.136144 | + | 0.946906i | ||||
\(844\) | 7.82860 | − | 9.03468i | 0.269471 | − | 0.310987i | ||||
\(845\) | −2.94516 | + | 6.44899i | −0.101316 | + | 0.221852i | ||||
\(846\) | −8.78887 | − | 2.58064i | −0.302167 | − | 0.0887244i | ||||
\(847\) | −5.75377 | − | 12.5990i | −0.197702 | − | 0.432907i | ||||
\(848\) | −1.92009 | − | 13.3545i | −0.0659361 | − | 0.458596i | ||||
\(849\) | −16.2332 | − | 10.4325i | −0.557123 | − | 0.358041i | ||||
\(850\) | 1.98199 | 0.0679816 | ||||||||
\(851\) | −5.69216 | − | 55.8452i | −0.195125 | − | 1.91435i | ||||
\(852\) | −6.51262 | −0.223119 | ||||||||
\(853\) | 32.1760 | + | 20.6782i | 1.10168 | + | 0.708009i | 0.959466 | − | 0.281826i | \(-0.0909400\pi\) |
0.142219 | + | 0.989835i | \(0.454576\pi\) | |||||||
\(854\) | 1.31861 | + | 9.17110i | 0.0451217 | + | 0.313829i | ||||
\(855\) | −0.110643 | − | 0.242274i | −0.00378391 | − | 0.00828561i | ||||
\(856\) | −7.99774 | − | 2.34835i | −0.273357 | − | 0.0802649i | ||||
\(857\) | 19.0893 | − | 41.7998i | 0.652078 | − | 1.42785i | −0.237645 | − | 0.971352i | \(-0.576375\pi\) |
0.889723 | − | 0.456501i | \(-0.150897\pi\) | |||||||
\(858\) | −7.15167 | + | 8.25347i | −0.244154 | + | 0.281769i | ||||
\(859\) | −5.23947 | + | 36.4413i | −0.178768 | + | 1.24336i | 0.680849 | + | 0.732424i | \(0.261611\pi\) |
−0.859617 | + | 0.510938i | \(0.829298\pi\) | |||||||
\(860\) | 11.7416 | − | 3.44763i | 0.400384 | − | 0.117563i | ||||
\(861\) | 7.61914 | + | 8.79296i | 0.259660 | + | 0.299663i | ||||
\(862\) | 17.4911 | − | 11.2408i | 0.595748 | − | 0.382864i | ||||
\(863\) | 21.6818 | − | 13.9340i | 0.738056 | − | 0.474320i | −0.116819 | − | 0.993153i | \(-0.537270\pi\) |
0.854875 | + | 0.518833i | \(0.173633\pi\) | |||||||
\(864\) | −0.654861 | − | 0.755750i | −0.0222788 | − | 0.0257111i | ||||
\(865\) | −12.7839 | + | 3.75369i | −0.434666 | + | 0.127629i | ||||
\(866\) | 2.61832 | − | 18.2108i | 0.0889743 | − | 0.618830i | ||||
\(867\) | −8.56016 | + | 9.87895i | −0.290718 | + | 0.335507i | ||||
\(868\) | 3.69119 | − | 8.08258i | 0.125287 | − | 0.274341i | ||||
\(869\) | −38.1124 | − | 11.1908i | −1.29287 | − | 0.379622i | ||||
\(870\) | −1.31308 | − | 2.87525i | −0.0445177 | − | 0.0974801i | ||||
\(871\) | 0.357565 | + | 2.48692i | 0.0121156 | + | 0.0842660i | ||||
\(872\) | 2.74299 | + | 1.76281i | 0.0928893 | + | 0.0596963i | ||||
\(873\) | −11.9391 | −0.404077 | ||||||||
\(874\) | −1.20972 | − | 0.410070i | −0.0409195 | − | 0.0138708i | ||||
\(875\) | −1.50890 | −0.0510103 | ||||||||
\(876\) | 1.37640 | + | 0.884560i | 0.0465043 | + | 0.0298865i | ||||
\(877\) | 7.36469 | + | 51.2225i | 0.248688 | + | 1.72966i | 0.605815 | + | 0.795606i | \(0.292847\pi\) |
−0.357127 | + | 0.934056i | \(0.616244\pi\) | |||||||
\(878\) | 1.76859 | + | 3.87266i | 0.0596869 | + | 0.130696i | ||||
\(879\) | 13.0040 | + | 3.81833i | 0.438615 | + | 0.128789i | ||||
\(880\) | −1.86610 | + | 4.08619i | −0.0629062 | + | 0.137745i | ||||
\(881\) | −18.0607 | + | 20.8431i | −0.608479 | + | 0.702223i | −0.973477 | − | 0.228786i | \(-0.926524\pi\) |
0.364997 | + | 0.931009i | \(0.381070\pi\) | |||||||
\(882\) | −0.672183 | + | 4.67513i | −0.0226336 | + | 0.157420i | ||||
\(883\) | 4.21766 | − | 1.23842i | 0.141936 | − | 0.0416760i | −0.209993 | − | 0.977703i | \(-0.567344\pi\) |
0.351929 | + | 0.936027i | \(0.385526\pi\) | |||||||
\(884\) | −3.15541 | − | 3.64154i | −0.106128 | − | 0.122478i | ||||
\(885\) | −12.3445 | + | 7.93332i | −0.414955 | + | 0.266676i | ||||
\(886\) | −14.1519 | + | 9.09488i | −0.475443 | + | 0.305548i | ||||
\(887\) | −23.2690 | − | 26.8538i | −0.781296 | − | 0.901664i | 0.215906 | − | 0.976414i | \(-0.430729\pi\) |
−0.997202 | + | 0.0747503i | \(0.976184\pi\) | |||||||
\(888\) | −11.2307 | + | 3.29764i | −0.376879 | + | 0.110662i | ||||
\(889\) | 1.04411 | − | 7.26193i | 0.0350182 | − | 0.243557i | ||||
\(890\) | −4.36263 | + | 5.03475i | −0.146236 | + | 0.168765i | ||||
\(891\) | −1.86610 | + | 4.08619i | −0.0625167 | + | 0.136893i | ||||
\(892\) | 5.61241 | + | 1.64795i | 0.187917 | + | 0.0551775i | ||||
\(893\) | 1.01348 | + | 2.21921i | 0.0339148 | + | 0.0742630i | ||||
\(894\) | −0.561949 | − | 3.90844i | −0.0187944 | − | 0.130718i | ||||
\(895\) | 5.06578 | + | 3.25558i | 0.169330 | + | 0.108822i | ||||
\(896\) | 1.50890 | 0.0504089 | ||||||||
\(897\) | −7.26555 | − | 9.11862i | −0.242590 | − | 0.304462i | ||||
\(898\) | 16.7047 | 0.557444 | ||||||||
\(899\) | 15.6588 | + | 10.0633i | 0.522251 | + | 0.335630i | ||||
\(900\) | −0.142315 | − | 0.989821i | −0.00474383 | − | 0.0329940i | ||||
\(901\) | −11.1085 | − | 24.3242i | −0.370077 | − | 0.810355i | ||||
\(902\) | 33.2346 | + | 9.75856i | 1.10659 | + | 0.324924i | ||||
\(903\) | −7.67057 | + | 16.7962i | −0.255261 | + | 0.558943i | ||||
\(904\) | −8.75146 | + | 10.0997i | −0.291069 | + | 0.335912i | ||||
\(905\) | 1.22742 | − | 8.53689i | 0.0408008 | − | 0.283776i | ||||
\(906\) | −14.0724 | + | 4.13204i | −0.467525 | + | 0.137278i | ||||
\(907\) | 1.90415 | + | 2.19750i | 0.0632261 | + | 0.0729668i | 0.786482 | − | 0.617614i | \(-0.211901\pi\) |
−0.723255 | + | 0.690581i | \(0.757355\pi\) | |||||||
\(908\) | −21.2663 | + | 13.6671i | −0.705749 | + | 0.453557i | ||||
\(909\) | −0.804483 | + | 0.517010i | −0.0266830 | + | 0.0171481i | ||||
\(910\) | 2.40224 | + | 2.77233i | 0.0796335 | + | 0.0919019i | ||||
\(911\) | 15.3977 | − | 4.52116i | 0.510147 | − | 0.149793i | −0.0165213 | − | 0.999864i | \(-0.505259\pi\) |
0.526668 | + | 0.850071i | \(0.323441\pi\) | |||||||
\(912\) | −0.0379046 | + | 0.263632i | −0.00125515 | + | 0.00872974i | ||||
\(913\) | −21.9329 | + | 25.3119i | −0.725874 | + | 0.837703i | ||||
\(914\) | −1.20122 | + | 2.63031i | −0.0397329 | + | 0.0870029i | ||||
\(915\) | −5.89176 | − | 1.72998i | −0.194775 | − | 0.0571912i | ||||
\(916\) | 3.89887 | + | 8.53733i | 0.128822 | + | 0.282081i | ||||
\(917\) | −3.15653 | − | 21.9542i | −0.104238 | − | 0.724990i | ||||
\(918\) | −1.66735 | − | 1.07154i | −0.0550309 | − | 0.0353662i | ||||
\(919\) | −34.7600 | −1.14663 | −0.573313 | − | 0.819336i | \(-0.694342\pi\) | ||||
−0.573313 | + | 0.819336i | \(0.694342\pi\) | |||||||
\(920\) | −3.92423 | − | 2.75689i | −0.129378 | − | 0.0908919i | ||||
\(921\) | −19.5274 | −0.643450 | ||||||||
\(922\) | 1.58976 | + | 1.02168i | 0.0523560 | + | 0.0336471i | ||||
\(923\) | 2.25326 | + | 15.6718i | 0.0741671 | + | 0.515843i | ||||
\(924\) | −2.81577 | − | 6.16567i | −0.0926319 | − | 0.202836i | ||||
\(925\) | −11.2307 | − | 3.29764i | −0.369264 | − | 0.108426i | ||||
\(926\) | 12.5579 | − | 27.4979i | 0.412677 | − | 0.903636i | ||||
\(927\) | 4.92446 | − | 5.68313i | 0.161741 | − | 0.186659i | ||||
\(928\) | −0.449842 | + | 3.12872i | −0.0147668 | + | 0.102705i | ||||
\(929\) | 55.4855 | − | 16.2920i | 1.82042 | − | 0.534524i | 0.821080 | − | 0.570814i | \(-0.193372\pi\) |
0.999341 | + | 0.0362898i | \(0.0115539\pi\) | |||||||
\(930\) | 3.85631 | + | 4.45042i | 0.126453 | + | 0.145935i | ||||
\(931\) | 1.05829 | − | 0.680123i | 0.0346841 | − | 0.0222901i | ||||
\(932\) | −7.20608 | + | 4.63106i | −0.236043 | + | 0.151696i | ||||
\(933\) | 6.04475 | + | 6.97601i | 0.197896 | + | 0.228384i | ||||
\(934\) | 9.15528 | − | 2.68823i | 0.299570 | − | 0.0879616i | ||||
\(935\) | −1.26708 | + | 8.81274i | −0.0414380 | + | 0.288207i | ||||
\(936\) | −1.59204 | + | 1.83732i | −0.0520375 | + | 0.0600545i | ||||
\(937\) | 4.88646 | − | 10.6999i | 0.159634 | − | 0.349549i | −0.812867 | − | 0.582450i | \(-0.802094\pi\) |
0.972501 | + | 0.232900i | \(0.0748216\pi\) | |||||||
\(938\) | −1.49624 | − | 0.439336i | −0.0488541 | − | 0.0143448i | ||||
\(939\) | −7.66159 | − | 16.7766i | −0.250027 | − | 0.547482i | ||||
\(940\) | 1.30359 | + | 9.06667i | 0.0425184 | + | 0.295722i | ||||
\(941\) | 13.2540 | + | 8.51781i | 0.432067 | + | 0.277673i | 0.738544 | − | 0.674205i | \(-0.235514\pi\) |
−0.306477 | + | 0.951878i | \(0.599150\pi\) | |||||||
\(942\) | 21.1020 | 0.687541 | ||||||||
\(943\) | −16.7350 | + | 32.9760i | −0.544966 | + | 1.07385i | ||||
\(944\) | 14.6739 | 0.477595 | ||||||||
\(945\) | 1.26937 | + | 0.815775i | 0.0412926 | + | 0.0265372i | ||||
\(946\) | 7.82325 | + | 54.4119i | 0.254356 | + | 1.76908i | ||||
\(947\) | 8.43513 | + | 18.4703i | 0.274105 | + | 0.600206i | 0.995754 | − | 0.0920531i | \(-0.0293429\pi\) |
−0.721649 | + | 0.692259i | \(0.756616\pi\) | |||||||
\(948\) | −8.48425 | − | 2.49120i | −0.275556 | − | 0.0809104i | ||||
\(949\) | 1.65237 | − | 3.61818i | 0.0536381 | − | 0.117451i | ||||
\(950\) | −0.174418 | + | 0.201289i | −0.00565886 | + | 0.00653067i | ||||
\(951\) | 1.88920 | − | 13.1397i | 0.0612615 | − | 0.426083i | ||||
\(952\) | 2.86949 | − | 0.842558i | 0.0930007 | − | 0.0273075i | ||||
\(953\) | −27.7420 | − | 32.0160i | −0.898651 | − | 1.03710i | −0.999111 | − | 0.0421573i | \(-0.986577\pi\) |
0.100460 | − | 0.994941i | \(-0.467969\pi\) | |||||||
\(954\) | −11.3501 | + | 7.29424i | −0.367472 | + | 0.236160i | ||||
\(955\) | −18.6198 | + | 11.9662i | −0.602524 | + | 0.387219i | ||||
\(956\) | −6.42145 | − | 7.41075i | −0.207685 | − | 0.239681i | ||||
\(957\) | 13.6240 | − | 4.00037i | 0.440401 | − | 0.129313i | ||||
\(958\) | −1.13500 | + | 7.89410i | −0.0366702 | + | 0.255047i | ||||
\(959\) | 15.3678 | − | 17.7354i | 0.496254 | − | 0.572707i | ||||
\(960\) | −0.415415 | + | 0.909632i | −0.0134075 | + | 0.0293582i | ||||
\(961\) | −3.52835 | − | 1.03602i | −0.113818 | − | 0.0334199i | ||||
\(962\) | 11.8210 | + | 25.8844i | 0.381125 | + | 0.834546i | ||||
\(963\) | 1.18625 | + | 8.25054i | 0.0382263 | + | 0.265870i | ||||
\(964\) | −3.88935 | − | 2.49953i | −0.125268 | − | 0.0805045i | ||||
\(965\) | −21.3746 | −0.688071 | ||||||||
\(966\) | 7.02144 | − | 1.75087i | 0.225911 | − | 0.0563332i | ||||
\(967\) | 28.9145 | 0.929827 | 0.464914 | − | 0.885356i | \(-0.346085\pi\) | ||||
0.464914 | + | 0.885356i | \(0.346085\pi\) | |||||||
\(968\) | −7.72211 | − | 4.96270i | −0.248198 | − | 0.159507i | ||||
\(969\) | 0.0751265 | + | 0.522516i | 0.00241341 | + | 0.0167856i | ||||
\(970\) | 4.95967 | + | 10.8602i | 0.159246 | + | 0.348699i | ||||
\(971\) | −56.7998 | − | 16.6779i | −1.82279 | − | 0.535220i | −0.823317 | − | 0.567581i | \(-0.807879\pi\) |
−0.999476 | + | 0.0323610i | \(0.989697\pi\) | |||||||
\(972\) | −0.415415 | + | 0.909632i | −0.0133244 | + | 0.0291765i | ||||
\(973\) | −5.57644 | + | 6.43556i | −0.178772 | + | 0.206314i | ||||
\(974\) | 1.49608 | − | 10.4054i | 0.0479374 | − | 0.333412i | ||||
\(975\) | −2.33264 | + | 0.684925i | −0.0747042 | + | 0.0219351i | ||||
\(976\) | 4.02117 | + | 4.64067i | 0.128714 | + | 0.148544i | ||||
\(977\) | 24.7057 | − | 15.8774i | 0.790405 | − | 0.507962i | −0.0820669 | − | 0.996627i | \(-0.526152\pi\) |
0.872472 | + | 0.488664i | \(0.162516\pi\) | |||||||
\(978\) | −10.5463 | + | 6.77769i | −0.337233 | + | 0.216727i | ||||
\(979\) | −19.5975 | − | 22.6168i | −0.626340 | − | 0.722835i | ||||
\(980\) | 4.53189 | − | 1.33068i | 0.144766 | − | 0.0425071i | ||||
\(981\) | 0.464031 | − | 3.22741i | 0.0148154 | − | 0.103043i | ||||
\(982\) | 16.7002 | − | 19.2731i | 0.532925 | − | 0.615028i | ||||
\(983\) | −4.30705 | + | 9.43112i | −0.137374 | + | 0.300806i | −0.965798 | − | 0.259294i | \(-0.916510\pi\) |
0.828425 | + | 0.560100i | \(0.189237\pi\) | |||||||
\(984\) | 7.39839 | + | 2.17236i | 0.235852 | + | 0.0692524i | ||||
\(985\) | 0.326968 | + | 0.715959i | 0.0104181 | + | 0.0228124i | ||||
\(986\) | 0.891582 | + | 6.20109i | 0.0283937 | + | 0.197483i | ||||
\(987\) | −11.6273 | − | 7.47242i | −0.370102 | − | 0.237850i | ||||
\(988\) | 0.647511 | 0.0206001 | ||||||||
\(989\) | −58.6380 | − | 2.41861i | −1.86458 | − | 0.0769072i | ||||
\(990\) | 4.49214 | 0.142769 | ||||||||
\(991\) | 27.9447 | + | 17.9589i | 0.887692 | + | 0.570485i | 0.903116 | − | 0.429396i | \(-0.141274\pi\) |
−0.0154246 | + | 0.999881i | \(0.504910\pi\) | |||||||
\(992\) | −0.838056 | − | 5.82881i | −0.0266083 | − | 0.185065i | ||||
\(993\) | −8.09395 | − | 17.7233i | −0.256854 | − | 0.562431i | ||||
\(994\) | −9.42886 | − | 2.76856i | −0.299065 | − | 0.0878135i | ||||
\(995\) | −4.18318 | + | 9.15988i | −0.132616 | + | 0.290388i | ||||
\(996\) | −4.88251 | + | 5.63472i | −0.154708 | + | 0.178543i | ||||
\(997\) | −2.93584 | + | 20.4192i | −0.0929790 | + | 0.646683i | 0.889030 | + | 0.457849i | \(0.151380\pi\) |
−0.982009 | + | 0.188834i | \(0.939529\pi\) | |||||||
\(998\) | −21.9444 | + | 6.44346i | −0.694638 | + | 0.203964i | ||||
\(999\) | 7.66506 | + | 8.84595i | 0.242512 | + | 0.279873i |
(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 | 690.2.m.e.301.2 | ✓ | 20 | |
23.12 | even | 11 | inner | 690.2.m.e.541.2 | yes | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.m.e.301.2 | ✓ | 20 | 1.1 | even | 1 | trivial | |
690.2.m.e.541.2 | yes | 20 | 23.12 | even | 11 | inner |