Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(121,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([0, 0, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.121");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.bg (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 121.3 | ||
Character | \(\chi\) | \(=\) | 930.121 |
Dual form | 930.2.bg.h.661.3 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(1\) | \(e\left(\frac{8}{15}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.809017 | − | 0.587785i | 0.572061 | − | 0.415627i | ||||
\(3\) | 0.104528 | − | 0.994522i | 0.0603495 | − | 0.574187i | ||||
\(4\) | 0.309017 | − | 0.951057i | 0.154508 | − | 0.475528i | ||||
\(5\) | −0.500000 | + | 0.866025i | −0.223607 | + | 0.387298i | ||||
\(6\) | −0.500000 | − | 0.866025i | −0.204124 | − | 0.353553i | ||||
\(7\) | 0.744050 | − | 0.158153i | 0.281224 | − | 0.0597761i | −0.0651401 | − | 0.997876i | \(-0.520749\pi\) |
0.346364 | + | 0.938100i | \(0.387416\pi\) | |||||||
\(8\) | −0.309017 | − | 0.951057i | −0.109254 | − | 0.336249i | ||||
\(9\) | −0.978148 | − | 0.207912i | −0.326049 | − | 0.0693039i | ||||
\(10\) | 0.104528 | + | 0.994522i | 0.0330548 | + | 0.314495i | ||||
\(11\) | 3.69364 | + | 4.10220i | 1.11367 | + | 1.23686i | 0.968915 | + | 0.247393i | \(0.0795737\pi\) |
0.144758 | + | 0.989467i | \(0.453760\pi\) | |||||||
\(12\) | −0.913545 | − | 0.406737i | −0.263718 | − | 0.117415i | ||||
\(13\) | 2.55391 | − | 1.13707i | 0.708327 | − | 0.315367i | −0.0207641 | − | 0.999784i | \(-0.506610\pi\) |
0.729091 | + | 0.684417i | \(0.239943\pi\) | |||||||
\(14\) | 0.508989 | − | 0.565290i | 0.136033 | − | 0.151080i | ||||
\(15\) | 0.809017 | + | 0.587785i | 0.208887 | + | 0.151765i | ||||
\(16\) | −0.809017 | − | 0.587785i | −0.202254 | − | 0.146946i | ||||
\(17\) | 4.97918 | − | 5.52994i | 1.20763 | − | 1.34121i | 0.283571 | − | 0.958951i | \(-0.408481\pi\) |
0.924057 | − | 0.382256i | \(-0.124853\pi\) | |||||||
\(18\) | −0.913545 | + | 0.406737i | −0.215325 | + | 0.0958687i | ||||
\(19\) | −0.699202 | − | 0.311305i | −0.160408 | − | 0.0714182i | 0.324962 | − | 0.945727i | \(-0.394648\pi\) |
−0.485370 | + | 0.874309i | \(0.661315\pi\) | |||||||
\(20\) | 0.669131 | + | 0.743145i | 0.149622 | + | 0.166172i | ||||
\(21\) | −0.0795119 | − | 0.756505i | −0.0173509 | − | 0.165083i | ||||
\(22\) | 5.39943 | + | 1.14768i | 1.15116 | + | 0.244687i | ||||
\(23\) | −0.936159 | − | 2.88120i | −0.195203 | − | 0.600772i | −0.999974 | − | 0.00718727i | \(-0.997712\pi\) |
0.804772 | − | 0.593585i | \(-0.202288\pi\) | |||||||
\(24\) | −0.978148 | + | 0.207912i | −0.199664 | + | 0.0424398i | ||||
\(25\) | −0.500000 | − | 0.866025i | −0.100000 | − | 0.173205i | ||||
\(26\) | 1.39780 | − | 2.42106i | 0.274131 | − | 0.474809i | ||||
\(27\) | −0.309017 | + | 0.951057i | −0.0594703 | + | 0.183031i | ||||
\(28\) | 0.0795119 | − | 0.756505i | 0.0150263 | − | 0.142966i | ||||
\(29\) | −2.44952 | + | 1.77968i | −0.454865 | + | 0.330479i | −0.791514 | − | 0.611152i | \(-0.790707\pi\) |
0.336649 | + | 0.941630i | \(0.390707\pi\) | |||||||
\(30\) | 1.00000 | 0.182574 | ||||||||
\(31\) | 3.60699 | − | 4.24142i | 0.647834 | − | 0.761782i | ||||
\(32\) | −1.00000 | −0.176777 | ||||||||
\(33\) | 4.46582 | − | 3.24461i | 0.777399 | − | 0.564813i | ||||
\(34\) | 0.777824 | − | 7.40050i | 0.133396 | − | 1.26918i | ||||
\(35\) | −0.235061 | + | 0.723442i | −0.0397325 | + | 0.122284i | ||||
\(36\) | −0.500000 | + | 0.866025i | −0.0833333 | + | 0.144338i | ||||
\(37\) | −2.95798 | − | 5.12337i | −0.486289 | − | 0.842277i | 0.513587 | − | 0.858038i | \(-0.328316\pi\) |
−0.999876 | + | 0.0157606i | \(0.994983\pi\) | |||||||
\(38\) | −0.748647 | + | 0.159130i | −0.121447 | + | 0.0258143i | ||||
\(39\) | −0.863888 | − | 2.65877i | −0.138333 | − | 0.425745i | ||||
\(40\) | 0.978148 | + | 0.207912i | 0.154659 | + | 0.0328737i | ||||
\(41\) | 0.266132 | + | 2.53207i | 0.0415628 | + | 0.395444i | 0.995451 | + | 0.0952800i | \(0.0303746\pi\) |
−0.953888 | + | 0.300164i | \(0.902959\pi\) | |||||||
\(42\) | −0.508989 | − | 0.565290i | −0.0785387 | − | 0.0872261i | ||||
\(43\) | −3.68971 | − | 1.64277i | −0.562676 | − | 0.250520i | 0.105630 | − | 0.994405i | \(-0.466314\pi\) |
−0.668307 | + | 0.743886i | \(0.732981\pi\) | |||||||
\(44\) | 5.04282 | − | 2.24521i | 0.760234 | − | 0.338478i | ||||
\(45\) | 0.669131 | − | 0.743145i | 0.0997481 | − | 0.110781i | ||||
\(46\) | −2.45090 | − | 1.78068i | −0.361365 | − | 0.262547i | ||||
\(47\) | 4.33714 | + | 3.15112i | 0.632637 | + | 0.459638i | 0.857313 | − | 0.514796i | \(-0.172132\pi\) |
−0.224676 | + | 0.974434i | \(0.572132\pi\) | |||||||
\(48\) | −0.669131 | + | 0.743145i | −0.0965807 | + | 0.107264i | ||||
\(49\) | −5.86622 | + | 2.61181i | −0.838032 | + | 0.373116i | ||||
\(50\) | −0.913545 | − | 0.406737i | −0.129195 | − | 0.0575212i | ||||
\(51\) | −4.97918 | − | 5.52994i | −0.697224 | − | 0.774346i | ||||
\(52\) | −0.292220 | − | 2.78029i | −0.0405236 | − | 0.385556i | ||||
\(53\) | 0.893114 | + | 0.189837i | 0.122679 | + | 0.0260762i | 0.268842 | − | 0.963184i | \(-0.413359\pi\) |
−0.146163 | + | 0.989261i | \(0.546692\pi\) | |||||||
\(54\) | 0.309017 | + | 0.951057i | 0.0420519 | + | 0.129422i | ||||
\(55\) | −5.39943 | + | 1.14768i | −0.728059 | + | 0.154754i | ||||
\(56\) | −0.380336 | − | 0.658761i | −0.0508245 | − | 0.0880307i | ||||
\(57\) | −0.382686 | + | 0.662831i | −0.0506880 | + | 0.0877942i | ||||
\(58\) | −0.935635 | + | 2.87959i | −0.122855 | + | 0.378108i | ||||
\(59\) | 0.170064 | − | 1.61805i | 0.0221404 | − | 0.210652i | −0.977859 | − | 0.209267i | \(-0.932892\pi\) |
0.999999 | − | 0.00138549i | \(-0.000441016\pi\) | |||||||
\(60\) | 0.809017 | − | 0.587785i | 0.104444 | − | 0.0758827i | ||||
\(61\) | −3.26610 | −0.418181 | −0.209091 | − | 0.977896i | \(-0.567050\pi\) | ||||
−0.209091 | + | 0.977896i | \(0.567050\pi\) | |||||||
\(62\) | 0.425067 | − | 5.55151i | 0.0539836 | − | 0.705043i | ||||
\(63\) | −0.760672 | −0.0958357 | ||||||||
\(64\) | −0.809017 | + | 0.587785i | −0.101127 | + | 0.0734732i | ||||
\(65\) | −0.292220 | + | 2.78029i | −0.0362454 | + | 0.344852i | ||||
\(66\) | 1.70579 | − | 5.24988i | 0.209968 | − | 0.646216i | ||||
\(67\) | −4.83750 | + | 8.37879i | −0.590995 | + | 1.02363i | 0.403104 | + | 0.915154i | \(0.367931\pi\) |
−0.994099 | + | 0.108478i | \(0.965402\pi\) | |||||||
\(68\) | −3.72063 | − | 6.44432i | −0.451193 | − | 0.781489i | ||||
\(69\) | −2.96327 | + | 0.629863i | −0.356736 | + | 0.0758266i | ||||
\(70\) | 0.235061 | + | 0.723442i | 0.0280951 | + | 0.0864679i | ||||
\(71\) | 12.8644 | + | 2.73440i | 1.52672 | + | 0.324514i | 0.893359 | − | 0.449344i | \(-0.148342\pi\) |
0.633360 | + | 0.773858i | \(0.281675\pi\) | |||||||
\(72\) | 0.104528 | + | 0.994522i | 0.0123188 | + | 0.117206i | ||||
\(73\) | 8.80644 | + | 9.78054i | 1.03072 | + | 1.14473i | 0.989346 | + | 0.145581i | \(0.0465052\pi\) |
0.0413690 | + | 0.999144i | \(0.486828\pi\) | |||||||
\(74\) | −5.40450 | − | 2.40624i | −0.628260 | − | 0.279719i | ||||
\(75\) | −0.913545 | + | 0.406737i | −0.105487 | + | 0.0469659i | ||||
\(76\) | −0.512134 | + | 0.568782i | −0.0587458 | + | 0.0652438i | ||||
\(77\) | 3.39702 | + | 2.46808i | 0.387127 | + | 0.281264i | ||||
\(78\) | −2.26169 | − | 1.64321i | −0.256086 | − | 0.186057i | ||||
\(79\) | 0.935152 | − | 1.03859i | 0.105213 | − | 0.116851i | −0.688238 | − | 0.725485i | \(-0.741616\pi\) |
0.793451 | + | 0.608634i | \(0.208282\pi\) | |||||||
\(80\) | 0.913545 | − | 0.406737i | 0.102137 | − | 0.0454745i | ||||
\(81\) | 0.913545 | + | 0.406737i | 0.101505 | + | 0.0451930i | ||||
\(82\) | 1.70362 | + | 1.89206i | 0.188134 | + | 0.208943i | ||||
\(83\) | −0.169591 | − | 1.61355i | −0.0186150 | − | 0.177110i | 0.981264 | − | 0.192668i | \(-0.0617142\pi\) |
−0.999879 | + | 0.0155581i | \(0.995047\pi\) | |||||||
\(84\) | −0.744050 | − | 0.158153i | −0.0811825 | − | 0.0172559i | ||||
\(85\) | 2.29948 | + | 7.07706i | 0.249413 | + | 0.767615i | ||||
\(86\) | −3.95064 | + | 0.839734i | −0.426008 | + | 0.0905508i | ||||
\(87\) | 1.51389 | + | 2.62213i | 0.162306 | + | 0.281122i | ||||
\(88\) | 2.76003 | − | 4.78051i | 0.294220 | − | 0.509604i | ||||
\(89\) | 0.755228 | − | 2.32435i | 0.0800540 | − | 0.246381i | −0.903017 | − | 0.429604i | \(-0.858653\pi\) |
0.983071 | + | 0.183223i | \(0.0586531\pi\) | |||||||
\(90\) | 0.104528 | − | 0.994522i | 0.0110183 | − | 0.104832i | ||||
\(91\) | 1.72040 | − | 1.24995i | 0.180347 | − | 0.131030i | ||||
\(92\) | −3.02947 | −0.315845 | ||||||||
\(93\) | −3.84115 | − | 4.03057i | −0.398309 | − | 0.417951i | ||||
\(94\) | 5.36100 | 0.552945 | ||||||||
\(95\) | 0.619199 | − | 0.449874i | 0.0635284 | − | 0.0461561i | ||||
\(96\) | −0.104528 | + | 0.994522i | −0.0106684 | + | 0.101503i | ||||
\(97\) | −3.47976 | + | 10.7096i | −0.353316 | + | 1.08740i | 0.603663 | + | 0.797239i | \(0.293707\pi\) |
−0.956979 | + | 0.290156i | \(0.906293\pi\) | |||||||
\(98\) | −3.21069 | + | 5.56108i | −0.324329 | + | 0.561754i | ||||
\(99\) | −2.76003 | − | 4.78051i | −0.277393 | − | 0.480459i | ||||
\(100\) | −0.978148 | + | 0.207912i | −0.0978148 | + | 0.0207912i | ||||
\(101\) | 2.73335 | + | 8.41237i | 0.271978 | + | 0.837063i | 0.990003 | + | 0.141045i | \(0.0450463\pi\) |
−0.718025 | + | 0.696017i | \(0.754954\pi\) | |||||||
\(102\) | −7.27865 | − | 1.54713i | −0.720694 | − | 0.153188i | ||||
\(103\) | −1.02175 | − | 9.72126i | −0.100676 | − | 0.957864i | −0.921944 | − | 0.387323i | \(-0.873400\pi\) |
0.821269 | − | 0.570542i | \(-0.193267\pi\) | |||||||
\(104\) | −1.87062 | − | 2.07754i | −0.183430 | − | 0.203719i | ||||
\(105\) | 0.694909 | + | 0.309393i | 0.0678161 | + | 0.0301937i | ||||
\(106\) | 0.834128 | − | 0.371378i | 0.0810177 | − | 0.0360714i | ||||
\(107\) | 3.46544 | − | 3.84876i | 0.335016 | − | 0.372073i | −0.551974 | − | 0.833861i | \(-0.686125\pi\) |
0.886990 | + | 0.461788i | \(0.152792\pi\) | |||||||
\(108\) | 0.809017 | + | 0.587785i | 0.0778477 | + | 0.0565597i | ||||
\(109\) | −7.00225 | − | 5.08743i | −0.670694 | − | 0.487288i | 0.199563 | − | 0.979885i | \(-0.436048\pi\) |
−0.870257 | + | 0.492597i | \(0.836048\pi\) | |||||||
\(110\) | −3.69364 | + | 4.10220i | −0.352174 | + | 0.391129i | ||||
\(111\) | −5.40450 | + | 2.40624i | −0.512972 | + | 0.228390i | ||||
\(112\) | −0.694909 | − | 0.309393i | −0.0656627 | − | 0.0292349i | ||||
\(113\) | 0.0238232 | + | 0.0264584i | 0.00224110 | + | 0.00248900i | 0.744264 | − | 0.667885i | \(-0.232800\pi\) |
−0.742023 | + | 0.670374i | \(0.766134\pi\) | |||||||
\(114\) | 0.0800031 | + | 0.761179i | 0.00749298 | + | 0.0712909i | ||||
\(115\) | 2.96327 | + | 0.629863i | 0.276327 | + | 0.0587350i | ||||
\(116\) | 0.935635 | + | 2.87959i | 0.0868715 | + | 0.267363i | ||||
\(117\) | −2.73451 | + | 0.581238i | −0.252806 | + | 0.0537355i | ||||
\(118\) | −0.813481 | − | 1.40899i | −0.0748870 | − | 0.129708i | ||||
\(119\) | 2.83018 | − | 4.90202i | 0.259442 | − | 0.449367i | ||||
\(120\) | 0.309017 | − | 0.951057i | 0.0282093 | − | 0.0868192i | ||||
\(121\) | −2.03527 | + | 19.3643i | −0.185025 | + | 1.76039i | ||||
\(122\) | −2.64233 | + | 1.91976i | −0.239225 | + | 0.173807i | ||||
\(123\) | 2.54602 | 0.229567 | ||||||||
\(124\) | −2.91921 | − | 4.74112i | −0.262153 | − | 0.425765i | ||||
\(125\) | 1.00000 | 0.0894427 | ||||||||
\(126\) | −0.615397 | + | 0.447112i | −0.0548239 | + | 0.0398319i | ||||
\(127\) | 1.04040 | − | 9.89879i | 0.0923210 | − | 0.878375i | −0.846133 | − | 0.532972i | \(-0.821075\pi\) |
0.938454 | − | 0.345404i | \(-0.112258\pi\) | |||||||
\(128\) | −0.309017 | + | 0.951057i | −0.0273135 | + | 0.0840623i | ||||
\(129\) | −2.01945 | + | 3.49779i | −0.177802 | + | 0.307963i | ||||
\(130\) | 1.39780 | + | 2.42106i | 0.122595 | + | 0.212341i | ||||
\(131\) | −5.42433 | + | 1.15298i | −0.473926 | + | 0.100736i | −0.438681 | − | 0.898643i | \(-0.644554\pi\) |
−0.0352445 | + | 0.999379i | \(0.511221\pi\) | |||||||
\(132\) | −1.70579 | − | 5.24988i | −0.148470 | − | 0.456944i | ||||
\(133\) | −0.569475 | − | 0.121046i | −0.0493797 | − | 0.0104960i | ||||
\(134\) | 1.01131 | + | 9.62200i | 0.0873641 | + | 0.831214i | ||||
\(135\) | −0.669131 | − | 0.743145i | −0.0575896 | − | 0.0639597i | ||||
\(136\) | −6.79793 | − | 3.02663i | −0.582918 | − | 0.259532i | ||||
\(137\) | −4.83076 | + | 2.15080i | −0.412720 | + | 0.183755i | −0.602584 | − | 0.798056i | \(-0.705862\pi\) |
0.189864 | + | 0.981810i | \(0.439195\pi\) | |||||||
\(138\) | −2.02711 | + | 2.25134i | −0.172559 | + | 0.191647i | ||||
\(139\) | −7.50955 | − | 5.45601i | −0.636951 | − | 0.462772i | 0.221850 | − | 0.975081i | \(-0.428790\pi\) |
−0.858802 | + | 0.512308i | \(0.828790\pi\) | |||||||
\(140\) | 0.615397 | + | 0.447112i | 0.0520105 | + | 0.0377878i | ||||
\(141\) | 3.58721 | − | 3.98400i | 0.302098 | − | 0.335514i | ||||
\(142\) | 12.0147 | − | 5.34930i | 1.00825 | − | 0.448903i | ||||
\(143\) | 14.0977 | + | 6.27670i | 1.17891 | + | 0.524884i | ||||
\(144\) | 0.669131 | + | 0.743145i | 0.0557609 | + | 0.0619287i | ||||
\(145\) | −0.316489 | − | 3.01119i | −0.0262830 | − | 0.250066i | ||||
\(146\) | 12.8734 | + | 2.73633i | 1.06541 | + | 0.226460i | ||||
\(147\) | 1.98431 | + | 6.10709i | 0.163664 | + | 0.503705i | ||||
\(148\) | −5.78668 | + | 1.23000i | −0.475662 | + | 0.101105i | ||||
\(149\) | −3.95947 | − | 6.85801i | −0.324373 | − | 0.561830i | 0.657012 | − | 0.753880i | \(-0.271820\pi\) |
−0.981385 | + | 0.192050i | \(0.938487\pi\) | |||||||
\(150\) | −0.500000 | + | 0.866025i | −0.0408248 | + | 0.0707107i | ||||
\(151\) | −4.12911 | + | 12.7081i | −0.336022 | + | 1.03417i | 0.630195 | + | 0.776437i | \(0.282975\pi\) |
−0.966217 | + | 0.257732i | \(0.917025\pi\) | |||||||
\(152\) | −0.0800031 | + | 0.761179i | −0.00648911 | + | 0.0617398i | ||||
\(153\) | −6.02011 | + | 4.37387i | −0.486697 | + | 0.353606i | ||||
\(154\) | 4.19895 | 0.338361 | ||||||||
\(155\) | 1.86969 | + | 5.24445i | 0.150177 | + | 0.421244i | ||||
\(156\) | −2.79560 | −0.223827 | ||||||||
\(157\) | −0.830694 | + | 0.603534i | −0.0662966 | + | 0.0481673i | −0.620440 | − | 0.784254i | \(-0.713046\pi\) |
0.554143 | + | 0.832421i | \(0.313046\pi\) | |||||||
\(158\) | 0.146085 | − | 1.38991i | 0.0116219 | − | 0.110575i | ||||
\(159\) | 0.282153 | − | 0.868378i | 0.0223762 | − | 0.0688669i | ||||
\(160\) | 0.500000 | − | 0.866025i | 0.0395285 | − | 0.0684653i | ||||
\(161\) | −1.15222 | − | 1.99570i | −0.0908075 | − | 0.157283i | ||||
\(162\) | 0.978148 | − | 0.207912i | 0.0768505 | − | 0.0163351i | ||||
\(163\) | 0.669481 | + | 2.06045i | 0.0524378 | + | 0.161387i | 0.973846 | − | 0.227209i | \(-0.0729601\pi\) |
−0.921408 | + | 0.388596i | \(0.872960\pi\) | |||||||
\(164\) | 2.49039 | + | 0.529348i | 0.194466 | + | 0.0413351i | ||||
\(165\) | 0.577003 | + | 5.48981i | 0.0449196 | + | 0.427381i | ||||
\(166\) | −1.08562 | − | 1.20571i | −0.0842608 | − | 0.0935810i | ||||
\(167\) | 18.5336 | + | 8.25171i | 1.43418 | + | 0.638536i | 0.969085 | − | 0.246727i | \(-0.0793549\pi\) |
0.465091 | + | 0.885263i | \(0.346022\pi\) | |||||||
\(168\) | −0.694909 | + | 0.309393i | −0.0536134 | + | 0.0238702i | ||||
\(169\) | −3.46919 | + | 3.85292i | −0.266861 | + | 0.296379i | ||||
\(170\) | 6.02011 | + | 4.37387i | 0.461721 | + | 0.335460i | ||||
\(171\) | 0.619199 | + | 0.449874i | 0.0473513 | + | 0.0344027i | ||||
\(172\) | −2.70255 | + | 3.00148i | −0.206067 | + | 0.228861i | ||||
\(173\) | −5.46659 | + | 2.43388i | −0.415617 | + | 0.185045i | −0.603882 | − | 0.797074i | \(-0.706380\pi\) |
0.188265 | + | 0.982118i | \(0.439714\pi\) | |||||||
\(174\) | 2.76601 | + | 1.23151i | 0.209691 | + | 0.0933604i | ||||
\(175\) | −0.508989 | − | 0.565290i | −0.0384760 | − | 0.0427319i | ||||
\(176\) | −0.577003 | − | 5.48981i | −0.0434932 | − | 0.413810i | ||||
\(177\) | −1.59141 | − | 0.338265i | −0.119618 | − | 0.0254255i | ||||
\(178\) | −0.755228 | − | 2.32435i | −0.0566067 | − | 0.174218i | ||||
\(179\) | −5.08327 | + | 1.08048i | −0.379941 | + | 0.0807591i | −0.393924 | − | 0.919143i | \(-0.628883\pi\) |
0.0139821 | + | 0.999902i | \(0.495549\pi\) | |||||||
\(180\) | −0.500000 | − | 0.866025i | −0.0372678 | − | 0.0645497i | ||||
\(181\) | −13.3456 | + | 23.1152i | −0.991970 | + | 1.71814i | −0.386454 | + | 0.922309i | \(0.626300\pi\) |
−0.605516 | + | 0.795833i | \(0.707033\pi\) | |||||||
\(182\) | 0.657136 | − | 2.02246i | 0.0487101 | − | 0.149914i | ||||
\(183\) | −0.341400 | + | 3.24821i | −0.0252370 | + | 0.240114i | ||||
\(184\) | −2.45090 | + | 1.78068i | −0.180682 | + | 0.131273i | ||||
\(185\) | 5.91596 | 0.434950 | ||||||||
\(186\) | −5.47667 | − | 1.00303i | −0.401569 | − | 0.0735457i | ||||
\(187\) | 41.0762 | 3.00379 | ||||||||
\(188\) | 4.33714 | − | 3.15112i | 0.316319 | − | 0.229819i | ||||
\(189\) | −0.0795119 | + | 0.756505i | −0.00578364 | + | 0.0550276i | ||||
\(190\) | 0.236513 | − | 0.727912i | 0.0171584 | − | 0.0528083i | ||||
\(191\) | 6.51109 | − | 11.2775i | 0.471126 | − | 0.816014i | −0.528329 | − | 0.849040i | \(-0.677181\pi\) |
0.999454 | + | 0.0330260i | \(0.0105144\pi\) | |||||||
\(192\) | 0.500000 | + | 0.866025i | 0.0360844 | + | 0.0625000i | ||||
\(193\) | −11.1000 | + | 2.35937i | −0.798993 | + | 0.169831i | −0.589277 | − | 0.807931i | \(-0.700587\pi\) |
−0.209716 | + | 0.977762i | \(0.567254\pi\) | |||||||
\(194\) | 3.47976 | + | 10.7096i | 0.249832 | + | 0.768905i | ||||
\(195\) | 2.73451 | + | 0.581238i | 0.195822 | + | 0.0416233i | ||||
\(196\) | 0.671217 | + | 6.38620i | 0.0479441 | + | 0.456157i | ||||
\(197\) | 15.3969 | + | 17.1000i | 1.09699 | + | 1.21833i | 0.974151 | + | 0.225899i | \(0.0725318\pi\) |
0.122835 | + | 0.992427i | \(0.460802\pi\) | |||||||
\(198\) | −5.04282 | − | 2.24521i | −0.358378 | − | 0.159560i | ||||
\(199\) | −4.26288 | + | 1.89796i | −0.302188 | + | 0.134543i | −0.552229 | − | 0.833693i | \(-0.686223\pi\) |
0.250041 | + | 0.968235i | \(0.419556\pi\) | |||||||
\(200\) | −0.669131 | + | 0.743145i | −0.0473147 | + | 0.0525483i | ||||
\(201\) | 7.82724 | + | 5.68682i | 0.552091 | + | 0.401117i | ||||
\(202\) | 7.15599 | + | 5.19913i | 0.503494 | + | 0.365810i | ||||
\(203\) | −1.54111 | + | 1.71157i | −0.108164 | + | 0.120129i | ||||
\(204\) | −6.79793 | + | 3.02663i | −0.475951 | + | 0.211907i | ||||
\(205\) | −2.32591 | − | 1.03556i | −0.162448 | − | 0.0723267i | ||||
\(206\) | −6.54062 | − | 7.26410i | −0.455707 | − | 0.506114i | ||||
\(207\) | 0.316666 | + | 3.01288i | 0.0220098 | + | 0.209410i | ||||
\(208\) | −2.73451 | − | 0.581238i | −0.189604 | − | 0.0403016i | ||||
\(209\) | −1.30556 | − | 4.01811i | −0.0903077 | − | 0.277939i | ||||
\(210\) | 0.744050 | − | 0.158153i | 0.0513443 | − | 0.0109136i | ||||
\(211\) | −10.6297 | − | 18.4112i | −0.731781 | − | 1.26748i | −0.956121 | − | 0.292971i | \(-0.905356\pi\) |
0.224341 | − | 0.974511i | \(-0.427977\pi\) | |||||||
\(212\) | 0.456534 | − | 0.790739i | 0.0313549 | − | 0.0543082i | ||||
\(213\) | 4.06412 | − | 12.5081i | 0.278469 | − | 0.857038i | ||||
\(214\) | 0.541354 | − | 5.15064i | 0.0370062 | − | 0.352091i | ||||
\(215\) | 3.26754 | − | 2.37400i | 0.222844 | − | 0.161906i | ||||
\(216\) | 1.00000 | 0.0680414 | ||||||||
\(217\) | 2.01298 | − | 3.72628i | 0.136650 | − | 0.252957i | ||||
\(218\) | −8.65526 | −0.586208 | ||||||||
\(219\) | 10.6475 | − | 7.73585i | 0.719490 | − | 0.522740i | ||||
\(220\) | −0.577003 | + | 5.48981i | −0.0389015 | + | 0.370123i | ||||
\(221\) | 6.42842 | − | 19.7846i | 0.432422 | − | 1.33086i | ||||
\(222\) | −2.95798 | + | 5.12337i | −0.198527 | + | 0.343858i | ||||
\(223\) | 2.60298 | + | 4.50850i | 0.174309 | + | 0.301911i | 0.939922 | − | 0.341390i | \(-0.110898\pi\) |
−0.765613 | + | 0.643301i | \(0.777564\pi\) | |||||||
\(224\) | −0.744050 | + | 0.158153i | −0.0497139 | + | 0.0105670i | ||||
\(225\) | 0.309017 | + | 0.951057i | 0.0206011 | + | 0.0634038i | ||||
\(226\) | 0.0348253 | + | 0.00740234i | 0.00231654 | + | 0.000492396i | ||||
\(227\) | 3.06955 | + | 29.2048i | 0.203733 | + | 1.93839i | 0.324874 | + | 0.945757i | \(0.394678\pi\) |
−0.121140 | + | 0.992635i | \(0.538655\pi\) | |||||||
\(228\) | 0.512134 | + | 0.568782i | 0.0339169 | + | 0.0376685i | ||||
\(229\) | −23.2961 | − | 10.3721i | −1.53945 | − | 0.685407i | −0.550660 | − | 0.834730i | \(-0.685624\pi\) |
−0.988788 | + | 0.149323i | \(0.952290\pi\) | |||||||
\(230\) | 2.76756 | − | 1.23220i | 0.182488 | − | 0.0812487i | ||||
\(231\) | 2.80965 | − | 3.12043i | 0.184861 | − | 0.205309i | ||||
\(232\) | 2.44952 | + | 1.77968i | 0.160819 | + | 0.116842i | ||||
\(233\) | −15.0451 | − | 10.9309i | −0.985635 | − | 0.716106i | −0.0266745 | − | 0.999644i | \(-0.508492\pi\) |
−0.958961 | + | 0.283538i | \(0.908492\pi\) | |||||||
\(234\) | −1.87062 | + | 2.07754i | −0.122286 | + | 0.135813i | ||||
\(235\) | −4.89752 | + | 2.18052i | −0.319479 | + | 0.142241i | ||||
\(236\) | −1.48630 | − | 0.661745i | −0.0967502 | − | 0.0430760i | ||||
\(237\) | −0.935152 | − | 1.03859i | −0.0607447 | − | 0.0674638i | ||||
\(238\) | −0.591669 | − | 5.62935i | −0.0383522 | − | 0.364897i | ||||
\(239\) | 1.97912 | + | 0.420675i | 0.128019 | + | 0.0272112i | 0.271475 | − | 0.962445i | \(-0.412488\pi\) |
−0.143457 | + | 0.989657i | \(0.545822\pi\) | |||||||
\(240\) | −0.309017 | − | 0.951057i | −0.0199470 | − | 0.0613904i | ||||
\(241\) | −27.7905 | + | 5.90705i | −1.79014 | + | 0.380506i | −0.978922 | − | 0.204235i | \(-0.934529\pi\) |
−0.811220 | + | 0.584741i | \(0.801196\pi\) | |||||||
\(242\) | 9.73550 | + | 16.8624i | 0.625821 | + | 1.08395i | ||||
\(243\) | 0.500000 | − | 0.866025i | 0.0320750 | − | 0.0555556i | ||||
\(244\) | −1.00928 | + | 3.10624i | −0.0646125 | + | 0.198857i | ||||
\(245\) | 0.671217 | − | 6.38620i | 0.0428825 | − | 0.407999i | ||||
\(246\) | 2.05978 | − | 1.49651i | 0.131326 | − | 0.0954143i | ||||
\(247\) | −2.13967 | −0.136144 | ||||||||
\(248\) | −5.14845 | − | 2.11978i | −0.326927 | − | 0.134606i | ||||
\(249\) | −1.62244 | −0.102818 | ||||||||
\(250\) | 0.809017 | − | 0.587785i | 0.0511667 | − | 0.0371748i | ||||
\(251\) | −2.32950 | + | 22.1637i | −0.147037 | + | 1.39896i | 0.633449 | + | 0.773785i | \(0.281639\pi\) |
−0.780485 | + | 0.625174i | \(0.785028\pi\) | |||||||
\(252\) | −0.235061 | + | 0.723442i | −0.0148074 | + | 0.0455726i | ||||
\(253\) | 8.36143 | − | 14.4824i | 0.525679 | − | 0.910502i | ||||
\(254\) | −4.97666 | − | 8.61982i | −0.312263 | − | 0.540856i | ||||
\(255\) | 7.27865 | − | 1.54713i | 0.455807 | − | 0.0968848i | ||||
\(256\) | 0.309017 | + | 0.951057i | 0.0193136 | + | 0.0594410i | ||||
\(257\) | −23.1964 | − | 4.93055i | −1.44695 | − | 0.307559i | −0.583550 | − | 0.812077i | \(-0.698337\pi\) |
−0.863401 | + | 0.504518i | \(0.831670\pi\) | |||||||
\(258\) | 0.422180 | + | 4.01677i | 0.0262838 | + | 0.250073i | ||||
\(259\) | −3.01116 | − | 3.34423i | −0.187104 | − | 0.207800i | ||||
\(260\) | 2.55391 | + | 1.13707i | 0.158387 | + | 0.0705183i | ||||
\(261\) | 2.76601 | − | 1.23151i | 0.171212 | − | 0.0762284i | ||||
\(262\) | −3.71067 | + | 4.12112i | −0.229246 | + | 0.254604i | ||||
\(263\) | 6.69323 | + | 4.86292i | 0.412722 | + | 0.299860i | 0.774703 | − | 0.632325i | \(-0.217899\pi\) |
−0.361981 | + | 0.932186i | \(0.617899\pi\) | |||||||
\(264\) | −4.46582 | − | 3.24461i | −0.274852 | − | 0.199692i | ||||
\(265\) | −0.610961 | + | 0.678541i | −0.0375310 | + | 0.0416824i | ||||
\(266\) | −0.531863 | + | 0.236801i | −0.0326106 | + | 0.0145192i | ||||
\(267\) | −2.23268 | − | 0.994052i | −0.136638 | − | 0.0608350i | ||||
\(268\) | 6.47384 | + | 7.18992i | 0.395453 | + | 0.439195i | ||||
\(269\) | 3.27551 | + | 31.1644i | 0.199712 | + | 1.90013i | 0.393883 | + | 0.919161i | \(0.371132\pi\) |
−0.194171 | + | 0.980968i | \(0.562202\pi\) | |||||||
\(270\) | −0.978148 | − | 0.207912i | −0.0595282 | − | 0.0126531i | ||||
\(271\) | 0.945783 | + | 2.91082i | 0.0574522 | + | 0.176820i | 0.975664 | − | 0.219269i | \(-0.0703672\pi\) |
−0.918212 | + | 0.396089i | \(0.870367\pi\) | |||||||
\(272\) | −7.27865 | + | 1.54713i | −0.441333 | + | 0.0938083i | ||||
\(273\) | −1.06327 | − | 1.84163i | −0.0643519 | − | 0.111461i | ||||
\(274\) | −2.64397 | + | 4.57948i | −0.159728 | + | 0.276657i | ||||
\(275\) | 1.70579 | − | 5.24988i | 0.102863 | − | 0.316580i | ||||
\(276\) | −0.316666 | + | 3.01288i | −0.0190611 | + | 0.181354i | ||||
\(277\) | −7.08603 | + | 5.14830i | −0.425758 | + | 0.309332i | −0.779951 | − | 0.625841i | \(-0.784756\pi\) |
0.354192 | + | 0.935173i | \(0.384756\pi\) | |||||||
\(278\) | −9.28231 | −0.556716 | ||||||||
\(279\) | −4.41000 | + | 3.39880i | −0.264020 | + | 0.203481i | ||||
\(280\) | 0.760672 | 0.0454589 | ||||||||
\(281\) | 11.7868 | − | 8.56361i | 0.703142 | − | 0.510862i | −0.177812 | − | 0.984064i | \(-0.556902\pi\) |
0.880954 | + | 0.473202i | \(0.156902\pi\) | |||||||
\(282\) | 0.560378 | − | 5.33164i | 0.0333700 | − | 0.317494i | ||||
\(283\) | 4.12774 | − | 12.7039i | 0.245368 | − | 0.755167i | −0.750207 | − | 0.661203i | \(-0.770046\pi\) |
0.995576 | − | 0.0939637i | \(-0.0299537\pi\) | |||||||
\(284\) | 6.57588 | − | 11.3898i | 0.390207 | − | 0.675858i | ||||
\(285\) | −0.382686 | − | 0.662831i | −0.0226684 | − | 0.0392627i | ||||
\(286\) | 15.0946 | − | 3.20846i | 0.892565 | − | 0.189721i | ||||
\(287\) | 0.598470 | + | 1.84190i | 0.0353265 | + | 0.108724i | ||||
\(288\) | 0.978148 | + | 0.207912i | 0.0576379 | + | 0.0122513i | ||||
\(289\) | −4.01101 | − | 38.1622i | −0.235942 | − | 2.24484i | ||||
\(290\) | −2.02598 | − | 2.25008i | −0.118970 | − | 0.132129i | ||||
\(291\) | 10.2872 | + | 4.58016i | 0.603046 | + | 0.268493i | ||||
\(292\) | 12.0232 | − | 5.35307i | 0.703603 | − | 0.313264i | ||||
\(293\) | −3.84791 | + | 4.27353i | −0.224797 | + | 0.249663i | −0.844984 | − | 0.534792i | \(-0.820390\pi\) |
0.620187 | + | 0.784454i | \(0.287057\pi\) | |||||||
\(294\) | 5.19500 | + | 3.77439i | 0.302979 | + | 0.220127i | ||||
\(295\) | 1.31624 | + | 0.956305i | 0.0766345 | + | 0.0556782i | ||||
\(296\) | −3.95855 | + | 4.39641i | −0.230086 | + | 0.255536i | ||||
\(297\) | −5.04282 | + | 2.24521i | −0.292614 | + | 0.130280i | ||||
\(298\) | −7.23432 | − | 3.22093i | −0.419073 | − | 0.186583i | ||||
\(299\) | −5.66700 | − | 6.29384i | −0.327731 | − | 0.363982i | ||||
\(300\) | 0.104528 | + | 0.994522i | 0.00603495 | + | 0.0574187i | ||||
\(301\) | −3.00514 | − | 0.638762i | −0.173213 | − | 0.0368176i | ||||
\(302\) | 4.12911 | + | 12.7081i | 0.237603 | + | 0.731268i | ||||
\(303\) | 8.65200 | − | 1.83904i | 0.497045 | − | 0.105650i | ||||
\(304\) | 0.382686 | + | 0.662831i | 0.0219485 | + | 0.0380160i | ||||
\(305\) | 1.63305 | − | 2.82852i | 0.0935081 | − | 0.161961i | ||||
\(306\) | −2.29948 | + | 7.07706i | −0.131452 | + | 0.404569i | ||||
\(307\) | −1.29353 | + | 12.3071i | −0.0738255 | + | 0.702402i | 0.893534 | + | 0.448995i | \(0.148218\pi\) |
−0.967360 | + | 0.253407i | \(0.918449\pi\) | |||||||
\(308\) | 3.39702 | − | 2.46808i | 0.193563 | − | 0.140632i | ||||
\(309\) | −9.77481 | −0.556069 | ||||||||
\(310\) | 4.59522 | + | 3.14388i | 0.260991 | + | 0.178560i | ||||
\(311\) | −3.44812 | −0.195525 | −0.0977625 | − | 0.995210i | \(-0.531169\pi\) | ||||
−0.0977625 | + | 0.995210i | \(0.531169\pi\) | |||||||
\(312\) | −2.26169 | + | 1.64321i | −0.128043 | + | 0.0930286i | ||||
\(313\) | −1.09204 | + | 10.3900i | −0.0617256 | + | 0.587280i | 0.919321 | + | 0.393508i | \(0.128739\pi\) |
−0.981047 | + | 0.193771i | \(0.937928\pi\) | |||||||
\(314\) | −0.317297 | + | 0.976539i | −0.0179061 | + | 0.0551093i | ||||
\(315\) | 0.380336 | − | 0.658761i | 0.0214295 | − | 0.0371170i | ||||
\(316\) | −0.698781 | − | 1.21032i | −0.0393095 | − | 0.0680861i | ||||
\(317\) | 0.164567 | − | 0.0349798i | 0.00924301 | − | 0.00196466i | −0.203288 | − | 0.979119i | \(-0.565163\pi\) |
0.212531 | + | 0.977154i | \(0.431829\pi\) | |||||||
\(318\) | −0.282153 | − | 0.868378i | −0.0158224 | − | 0.0486962i | ||||
\(319\) | −16.3483 | − | 3.47493i | −0.915327 | − | 0.194559i | ||||
\(320\) | −0.104528 | − | 0.994522i | −0.00584332 | − | 0.0555955i | ||||
\(321\) | −3.46544 | − | 3.84876i | −0.193422 | − | 0.214817i | ||||
\(322\) | −2.10521 | − | 0.937299i | −0.117319 | − | 0.0522336i | ||||
\(323\) | −5.20295 | + | 2.31650i | −0.289500 | + | 0.128894i | ||||
\(324\) | 0.669131 | − | 0.743145i | 0.0371739 | − | 0.0412858i | ||||
\(325\) | −2.26169 | − | 1.64321i | −0.125456 | − | 0.0911490i | ||||
\(326\) | 1.75272 | + | 1.27343i | 0.0970744 | + | 0.0705287i | ||||
\(327\) | −5.79150 | + | 6.43211i | −0.320271 | + | 0.355697i | ||||
\(328\) | 2.32591 | − | 1.03556i | 0.128427 | − | 0.0571793i | ||||
\(329\) | 3.72541 | + | 1.65866i | 0.205388 | + | 0.0914448i | ||||
\(330\) | 3.69364 | + | 4.10220i | 0.203328 | + | 0.225819i | ||||
\(331\) | 1.47117 | + | 13.9973i | 0.0808630 | + | 0.769360i | 0.957544 | + | 0.288288i | \(0.0930859\pi\) |
−0.876681 | + | 0.481072i | \(0.840247\pi\) | |||||||
\(332\) | −1.58699 | − | 0.337324i | −0.0870971 | − | 0.0185131i | ||||
\(333\) | 1.82813 | + | 5.62641i | 0.100181 | + | 0.308325i | ||||
\(334\) | 19.8443 | − | 4.21803i | 1.08583 | − | 0.230800i | ||||
\(335\) | −4.83750 | − | 8.37879i | −0.264301 | − | 0.457782i | ||||
\(336\) | −0.380336 | + | 0.658761i | −0.0207490 | + | 0.0359384i | ||||
\(337\) | 5.54721 | − | 17.0725i | 0.302176 | − | 0.930001i | −0.678540 | − | 0.734563i | \(-0.737387\pi\) |
0.980716 | − | 0.195438i | \(-0.0626128\pi\) | |||||||
\(338\) | −0.541940 | + | 5.15622i | −0.0294777 | + | 0.280461i | ||||
\(339\) | 0.0288037 | − | 0.0209271i | 0.00156440 | − | 0.00113660i | ||||
\(340\) | 7.44126 | 0.403559 | ||||||||
\(341\) | 30.7221 | − | 0.869700i | 1.66369 | − | 0.0470969i | ||||
\(342\) | 0.765372 | 0.0413866 | ||||||||
\(343\) | −8.25947 | + | 6.00086i | −0.445970 | + | 0.324016i | ||||
\(344\) | −0.422180 | + | 4.01677i | −0.0227624 | + | 0.216570i | ||||
\(345\) | 0.936159 | − | 2.88120i | 0.0504011 | − | 0.155119i | ||||
\(346\) | −2.99197 | + | 5.18224i | −0.160849 | + | 0.278599i | ||||
\(347\) | −0.0382933 | − | 0.0663259i | −0.00205569 | − | 0.00356056i | 0.864996 | − | 0.501779i | \(-0.167321\pi\) |
−0.867051 | + | 0.498219i | \(0.833988\pi\) | |||||||
\(348\) | 2.96161 | − | 0.629510i | 0.158759 | − | 0.0337453i | ||||
\(349\) | −7.05719 | − | 21.7198i | −0.377763 | − | 1.16263i | −0.941596 | − | 0.336746i | \(-0.890674\pi\) |
0.563833 | − | 0.825889i | \(-0.309326\pi\) | |||||||
\(350\) | −0.744050 | − | 0.158153i | −0.0397711 | − | 0.00845361i | ||||
\(351\) | 0.292220 | + | 2.78029i | 0.0155975 | + | 0.148401i | ||||
\(352\) | −3.69364 | − | 4.10220i | −0.196872 | − | 0.218648i | ||||
\(353\) | −15.3048 | − | 6.81413i | −0.814592 | − | 0.362680i | −0.0432208 | − | 0.999066i | \(-0.513762\pi\) |
−0.771371 | + | 0.636386i | \(0.780429\pi\) | |||||||
\(354\) | −1.48630 | + | 0.661745i | −0.0789962 | + | 0.0351714i | ||||
\(355\) | −8.80024 | + | 9.77366i | −0.467068 | + | 0.518732i | ||||
\(356\) | −1.97721 | − | 1.43653i | −0.104792 | − | 0.0761359i | ||||
\(357\) | −4.57933 | − | 3.32708i | −0.242364 | − | 0.176088i | ||||
\(358\) | −3.47736 | + | 3.86200i | −0.183784 | + | 0.204113i | ||||
\(359\) | −25.1921 | + | 11.2163i | −1.32959 | + | 0.591972i | −0.943770 | − | 0.330602i | \(-0.892748\pi\) |
−0.385820 | + | 0.922574i | \(0.626082\pi\) | |||||||
\(360\) | −0.913545 | − | 0.406737i | −0.0481481 | − | 0.0214369i | ||||
\(361\) | −12.3215 | − | 13.6844i | −0.648500 | − | 0.720233i | ||||
\(362\) | 2.78999 | + | 26.5450i | 0.146638 | + | 1.39517i | ||||
\(363\) | 19.0455 | + | 4.04825i | 0.999630 | + | 0.212478i | ||||
\(364\) | −0.657136 | − | 2.02246i | −0.0344433 | − | 0.106005i | ||||
\(365\) | −12.8734 | + | 2.73633i | −0.673825 | + | 0.143226i | ||||
\(366\) | 1.63305 | + | 2.82852i | 0.0853608 | + | 0.147849i | ||||
\(367\) | 13.1796 | − | 22.8278i | 0.687971 | − | 1.19160i | −0.284522 | − | 0.958669i | \(-0.591835\pi\) |
0.972493 | − | 0.232931i | \(-0.0748317\pi\) | |||||||
\(368\) | −0.936159 | + | 2.88120i | −0.0488007 | + | 0.150193i | ||||
\(369\) | 0.266132 | − | 2.53207i | 0.0138543 | − | 0.131815i | ||||
\(370\) | 4.78611 | − | 3.47731i | 0.248818 | − | 0.180777i | ||||
\(371\) | 0.694545 | 0.0360590 | ||||||||
\(372\) | −5.02029 | + | 2.40764i | −0.260290 | + | 0.124830i | ||||
\(373\) | 26.4502 | 1.36954 | 0.684769 | − | 0.728760i | \(-0.259903\pi\) | ||||
0.684769 | + | 0.728760i | \(0.259903\pi\) | |||||||
\(374\) | 33.2313 | − | 24.1440i | 1.71835 | − | 1.24846i | ||||
\(375\) | 0.104528 | − | 0.994522i | 0.00539783 | − | 0.0513569i | ||||
\(376\) | 1.65664 | − | 5.09862i | 0.0854348 | − | 0.262941i | ||||
\(377\) | −4.23223 | + | 7.33043i | −0.217971 | + | 0.377536i | ||||
\(378\) | 0.380336 | + | 0.658761i | 0.0195624 | + | 0.0338830i | ||||
\(379\) | 33.1679 | − | 7.05006i | 1.70372 | − | 0.362137i | 0.749677 | − | 0.661804i | \(-0.230209\pi\) |
0.954044 | + | 0.299667i | \(0.0968754\pi\) | |||||||
\(380\) | −0.236513 | − | 0.727912i | −0.0121329 | − | 0.0373411i | ||||
\(381\) | −9.73581 | − | 2.06941i | −0.498781 | − | 0.106019i | ||||
\(382\) | −1.36119 | − | 12.9508i | −0.0696445 | − | 0.662623i | ||||
\(383\) | 2.18808 | + | 2.43011i | 0.111806 | + | 0.124173i | 0.796450 | − | 0.604705i | \(-0.206709\pi\) |
−0.684644 | + | 0.728878i | \(0.740042\pi\) | |||||||
\(384\) | 0.913545 | + | 0.406737i | 0.0466192 | + | 0.0207562i | ||||
\(385\) | −3.83593 | + | 1.70787i | −0.195497 | + | 0.0870410i | ||||
\(386\) | −7.59326 | + | 8.43316i | −0.386487 | + | 0.429237i | ||||
\(387\) | 3.26754 | + | 2.37400i | 0.166098 | + | 0.120677i | ||||
\(388\) | 9.11013 | + | 6.61890i | 0.462497 | + | 0.336024i | ||||
\(389\) | −4.29945 | + | 4.77502i | −0.217991 | + | 0.242103i | −0.842215 | − | 0.539142i | \(-0.818749\pi\) |
0.624224 | + | 0.781245i | \(0.285415\pi\) | |||||||
\(390\) | 2.55391 | − | 1.13707i | 0.129322 | − | 0.0575779i | ||||
\(391\) | −20.5942 | − | 9.16911i | −1.04149 | − | 0.463702i | ||||
\(392\) | 4.29674 | + | 4.77201i | 0.217018 | + | 0.241023i | ||||
\(393\) | 0.579664 | + | 5.51513i | 0.0292402 | + | 0.278202i | ||||
\(394\) | 22.5075 | + | 4.78412i | 1.13391 | + | 0.241020i | ||||
\(395\) | 0.431871 | + | 1.32916i | 0.0217298 | + | 0.0668774i | ||||
\(396\) | −5.39943 | + | 1.14768i | −0.271331 | + | 0.0576733i | ||||
\(397\) | −7.01802 | − | 12.1556i | −0.352224 | − | 0.610070i | 0.634415 | − | 0.772993i | \(-0.281241\pi\) |
−0.986639 | + | 0.162923i | \(0.947908\pi\) | |||||||
\(398\) | −2.33315 | + | 4.04114i | −0.116950 | + | 0.202564i | ||||
\(399\) | −0.179909 | + | 0.553702i | −0.00900670 | + | 0.0277198i | ||||
\(400\) | −0.104528 | + | 0.994522i | −0.00522642 | + | 0.0497261i | ||||
\(401\) | 32.2517 | − | 23.4322i | 1.61057 | − | 1.17015i | 0.748895 | − | 0.662688i | \(-0.230585\pi\) |
0.861675 | − | 0.507460i | \(-0.169415\pi\) | |||||||
\(402\) | 9.67500 | 0.482545 | ||||||||
\(403\) | 4.38910 | − | 14.9336i | 0.218637 | − | 0.743896i | ||||
\(404\) | 8.84529 | 0.440070 | ||||||||
\(405\) | −0.809017 | + | 0.587785i | −0.0402004 | + | 0.0292073i | ||||
\(406\) | −0.240744 | + | 2.29053i | −0.0119479 | + | 0.113677i | ||||
\(407\) | 10.0914 | − | 31.0581i | 0.500211 | − | 1.53949i | ||||
\(408\) | −3.72063 | + | 6.44432i | −0.184199 | + | 0.319042i | ||||
\(409\) | 12.4786 | + | 21.6136i | 0.617028 | + | 1.06872i | 0.990025 | + | 0.140891i | \(0.0449968\pi\) |
−0.372997 | + | 0.927833i | \(0.621670\pi\) | |||||||
\(410\) | −2.49039 | + | 0.529348i | −0.122991 | + | 0.0261426i | ||||
\(411\) | 1.63406 | + | 5.02912i | 0.0806023 | + | 0.248068i | ||||
\(412\) | −9.56120 | − | 2.03230i | −0.471047 | − | 0.100124i | ||||
\(413\) | −0.129363 | − | 1.23081i | −0.00636553 | − | 0.0605640i | ||||
\(414\) | 2.02711 | + | 2.25134i | 0.0996272 | + | 0.110647i | ||||
\(415\) | 1.48217 | + | 0.659906i | 0.0727570 | + | 0.0323935i | ||||
\(416\) | −2.55391 | + | 1.13707i | −0.125216 | + | 0.0557496i | ||||
\(417\) | −6.21108 | + | 6.89810i | −0.304158 | + | 0.337801i | ||||
\(418\) | −3.41801 | − | 2.48333i | −0.167180 | − | 0.121464i | ||||
\(419\) | −18.0697 | − | 13.1284i | −0.882765 | − | 0.641366i | 0.0512167 | − | 0.998688i | \(-0.483690\pi\) |
−0.933981 | + | 0.357321i | \(0.883690\pi\) | |||||||
\(420\) | 0.508989 | − | 0.565290i | 0.0248361 | − | 0.0275833i | ||||
\(421\) | 7.50275 | − | 3.34044i | 0.365662 | − | 0.162803i | −0.215677 | − | 0.976465i | \(-0.569196\pi\) |
0.581339 | + | 0.813662i | \(0.302529\pi\) | |||||||
\(422\) | −19.4215 | − | 8.64700i | −0.945423 | − | 0.420929i | ||||
\(423\) | −3.58721 | − | 3.98400i | −0.174416 | − | 0.193709i | ||||
\(424\) | −0.0954415 | − | 0.908065i | −0.00463505 | − | 0.0440995i | ||||
\(425\) | −7.27865 | − | 1.54713i | −0.353067 | − | 0.0750466i | ||||
\(426\) | −4.06412 | − | 12.5081i | −0.196907 | − | 0.606018i | ||||
\(427\) | −2.43014 | + | 0.516542i | −0.117603 | + | 0.0249972i | ||||
\(428\) | −2.58951 | − | 4.48516i | −0.125168 | − | 0.216798i | ||||
\(429\) | 7.71593 | − | 13.3644i | 0.372529 | − | 0.645239i | ||||
\(430\) | 1.24809 | − | 3.84122i | 0.0601881 | − | 0.185240i | ||||
\(431\) | −0.864508 | + | 8.22524i | −0.0416419 | + | 0.396196i | 0.953772 | + | 0.300532i | \(0.0971642\pi\) |
−0.995414 | + | 0.0956642i | \(0.969503\pi\) | |||||||
\(432\) | 0.809017 | − | 0.587785i | 0.0389238 | − | 0.0282798i | ||||
\(433\) | −15.6819 | −0.753624 | −0.376812 | − | 0.926290i | \(-0.622980\pi\) | ||||
−0.376812 | + | 0.926290i | \(0.622980\pi\) | |||||||
\(434\) | −0.561716 | − | 4.19783i | −0.0269632 | − | 0.201502i | ||||
\(435\) | −3.02778 | −0.145171 | ||||||||
\(436\) | −7.00225 | + | 5.08743i | −0.335347 | + | 0.243644i | ||||
\(437\) | −0.242367 | + | 2.30597i | −0.0115940 | + | 0.110310i | ||||
\(438\) | 4.06698 | − | 12.5169i | 0.194328 | − | 0.598079i | ||||
\(439\) | 14.3934 | − | 24.9301i | 0.686959 | − | 1.18985i | −0.285857 | − | 0.958272i | \(-0.592278\pi\) |
0.972817 | − | 0.231576i | \(-0.0743883\pi\) | |||||||
\(440\) | 2.76003 | + | 4.78051i | 0.131579 | + | 0.227902i | ||||
\(441\) | 6.28106 | − | 1.33508i | 0.299098 | − | 0.0635752i | ||||
\(442\) | −6.42842 | − | 19.7846i | −0.305769 | − | 0.941059i | ||||
\(443\) | −23.9497 | − | 5.09067i | −1.13788 | − | 0.241865i | −0.399819 | − | 0.916594i | \(-0.630927\pi\) |
−0.738065 | + | 0.674729i | \(0.764260\pi\) | |||||||
\(444\) | 0.618386 | + | 5.88355i | 0.0293473 | + | 0.279221i | ||||
\(445\) | 1.63533 | + | 1.81622i | 0.0775223 | + | 0.0860972i | ||||
\(446\) | 4.75589 | + | 2.11746i | 0.225198 | + | 0.100264i | ||||
\(447\) | −7.23432 | + | 3.22093i | −0.342172 | + | 0.152345i | ||||
\(448\) | −0.508989 | + | 0.565290i | −0.0240475 | + | 0.0267074i | ||||
\(449\) | −19.9540 | − | 14.4975i | −0.941689 | − | 0.684177i | 0.00713729 | − | 0.999975i | \(-0.497728\pi\) |
−0.948827 | + | 0.315797i | \(0.897728\pi\) | |||||||
\(450\) | 0.809017 | + | 0.587785i | 0.0381374 | + | 0.0277085i | ||||
\(451\) | −9.40408 | + | 10.4443i | −0.442821 | + | 0.491802i | ||||
\(452\) | 0.0325252 | − | 0.0144812i | 0.00152986 | − | 0.000681136i | ||||
\(453\) | 12.2069 | + | 5.43484i | 0.573528 | + | 0.255351i | ||||
\(454\) | 19.6495 | + | 21.8230i | 0.922196 | + | 1.02420i | ||||
\(455\) | 0.222283 | + | 2.11489i | 0.0104208 | + | 0.0991474i | ||||
\(456\) | 0.748647 | + | 0.159130i | 0.0350586 | + | 0.00745193i | ||||
\(457\) | 12.7948 | + | 39.3783i | 0.598514 | + | 1.84204i | 0.536391 | + | 0.843969i | \(0.319787\pi\) |
0.0621231 | + | 0.998068i | \(0.480213\pi\) | |||||||
\(458\) | −24.9435 | + | 5.30190i | −1.16553 | + | 0.247742i | ||||
\(459\) | 3.72063 | + | 6.44432i | 0.173664 | + | 0.300795i | ||||
\(460\) | 1.51474 | − | 2.62360i | 0.0706250 | − | 0.122326i | ||||
\(461\) | 7.83823 | − | 24.1236i | 0.365063 | − | 1.12355i | −0.584879 | − | 0.811120i | \(-0.698858\pi\) |
0.949942 | − | 0.312427i | \(-0.101142\pi\) | |||||||
\(462\) | 0.438910 | − | 4.17595i | 0.0204199 | − | 0.194283i | ||||
\(463\) | 24.4288 | − | 17.7486i | 1.13530 | − | 0.824847i | 0.148847 | − | 0.988860i | \(-0.452444\pi\) |
0.986458 | + | 0.164013i | \(0.0524439\pi\) | |||||||
\(464\) | 3.02778 | 0.140561 | ||||||||
\(465\) | 5.41116 | − | 1.31125i | 0.250936 | − | 0.0608077i | ||||
\(466\) | −18.5967 | −0.861477 | ||||||||
\(467\) | −19.0216 | + | 13.8200i | −0.880216 | + | 0.639514i | −0.933309 | − | 0.359075i | \(-0.883092\pi\) |
0.0530925 | + | 0.998590i | \(0.483092\pi\) | |||||||
\(468\) | −0.292220 | + | 2.78029i | −0.0135079 | + | 0.128519i | ||||
\(469\) | −2.27421 | + | 6.99930i | −0.105013 | + | 0.323198i | ||||
\(470\) | −2.68050 | + | 4.64277i | −0.123642 | + | 0.214155i | ||||
\(471\) | 0.513397 | + | 0.889229i | 0.0236561 | + | 0.0409735i | ||||
\(472\) | −1.59141 | + | 0.338265i | −0.0732506 | + | 0.0155699i | ||||
\(473\) | −6.88951 | − | 21.2037i | −0.316780 | − | 0.974949i | ||||
\(474\) | −1.36702 | − | 0.290570i | −0.0627894 | − | 0.0133463i | ||||
\(475\) | 0.0800031 | + | 0.761179i | 0.00367080 | + | 0.0349253i | ||||
\(476\) | −3.78752 | − | 4.20647i | −0.173601 | − | 0.192803i | ||||
\(477\) | −0.834128 | − | 0.371378i | −0.0381921 | − | 0.0170042i | ||||
\(478\) | 1.84841 | − | 0.822964i | 0.0845442 | − | 0.0376415i | ||||
\(479\) | 18.9400 | − | 21.0350i | 0.865391 | − | 0.961114i | −0.134163 | − | 0.990959i | \(-0.542835\pi\) |
0.999555 | + | 0.0298449i | \(0.00950132\pi\) | |||||||
\(480\) | −0.809017 | − | 0.587785i | −0.0369264 | − | 0.0268286i | ||||
\(481\) | −13.3801 | − | 9.72118i | −0.610078 | − | 0.443248i | ||||
\(482\) | −19.0109 | + | 21.1137i | −0.865922 | + | 0.961704i | ||||
\(483\) | −2.10521 | + | 0.937299i | −0.0957903 | + | 0.0426486i | ||||
\(484\) | 17.7876 | + | 7.91957i | 0.808529 | + | 0.359980i | ||||
\(485\) | −7.53491 | − | 8.36836i | −0.342142 | − | 0.379988i | ||||
\(486\) | −0.104528 | − | 0.994522i | −0.00474151 | − | 0.0451124i | ||||
\(487\) | −3.74250 | − | 0.795493i | −0.169589 | − | 0.0360472i | 0.122335 | − | 0.992489i | \(-0.460962\pi\) |
−0.291923 | + | 0.956442i | \(0.594295\pi\) | |||||||
\(488\) | 1.00928 | + | 3.10624i | 0.0456880 | + | 0.140613i | ||||
\(489\) | 2.11914 | − | 0.450438i | 0.0958310 | − | 0.0203695i | ||||
\(490\) | −3.21069 | − | 5.56108i | −0.145044 | − | 0.251224i | ||||
\(491\) | 3.70274 | − | 6.41333i | 0.167102 | − | 0.289429i | −0.770298 | − | 0.637684i | \(-0.779892\pi\) |
0.937400 | + | 0.348255i | \(0.113226\pi\) | |||||||
\(492\) | 0.786764 | − | 2.42141i | 0.0354701 | − | 0.109166i | ||||
\(493\) | −2.35508 | + | 22.4071i | −0.106067 | + | 1.00916i | ||||
\(494\) | −1.73103 | + | 1.25767i | −0.0778828 | + | 0.0565852i | ||||
\(495\) | 5.52005 | 0.248108 | ||||||||
\(496\) | −5.41116 | + | 1.31125i | −0.242968 | + | 0.0588768i | ||||
\(497\) | 10.0042 | 0.448749 | ||||||||
\(498\) | −1.31258 | + | 0.953646i | −0.0588182 | + | 0.0427339i | ||||
\(499\) | −1.57925 | + | 15.0256i | −0.0706971 | + | 0.672638i | 0.900581 | + | 0.434689i | \(0.143142\pi\) |
−0.971278 | + | 0.237949i | \(0.923525\pi\) | |||||||
\(500\) | 0.309017 | − | 0.951057i | 0.0138197 | − | 0.0425325i | ||||
\(501\) | 10.1438 | − | 17.5696i | 0.453191 | − | 0.784951i | ||||
\(502\) | 11.1429 | + | 19.3000i | 0.497331 | + | 0.861403i | ||||
\(503\) | 31.5697 | − | 6.71035i | 1.40762 | − | 0.299200i | 0.559427 | − | 0.828880i | \(-0.311021\pi\) |
0.848197 | + | 0.529680i | \(0.177688\pi\) | |||||||
\(504\) | 0.235061 | + | 0.723442i | 0.0104704 | + | 0.0322247i | ||||
\(505\) | −8.65200 | − | 1.83904i | −0.385009 | − | 0.0818362i | ||||
\(506\) | −1.74801 | − | 16.6313i | −0.0777087 | − | 0.739349i | ||||
\(507\) | 3.46919 | + | 3.85292i | 0.154072 | + | 0.171114i | ||||
\(508\) | −9.09280 | − | 4.04838i | −0.403428 | − | 0.179618i | ||||
\(509\) | −22.0128 | + | 9.80074i | −0.975701 | + | 0.434410i | −0.831735 | − | 0.555173i | \(-0.812652\pi\) |
−0.143966 | + | 0.989583i | \(0.545986\pi\) | |||||||
\(510\) | 4.97918 | − | 5.52994i | 0.220482 | − | 0.244870i | ||||
\(511\) | 8.09924 | + | 5.88444i | 0.358289 | + | 0.260312i | ||||
\(512\) | 0.809017 | + | 0.587785i | 0.0357538 | + | 0.0259767i | ||||
\(513\) | 0.512134 | − | 0.568782i | 0.0226113 | − | 0.0251123i | ||||
\(514\) | −21.6644 | + | 9.64560i | −0.955575 | + | 0.425449i | ||||
\(515\) | 8.92973 | + | 3.97577i | 0.393491 | + | 0.175193i | ||||
\(516\) | 2.70255 | + | 3.00148i | 0.118973 | + | 0.132133i | ||||
\(517\) | 3.09331 | + | 29.4309i | 0.136044 | + | 1.29437i | ||||
\(518\) | −4.40177 | − | 0.935624i | −0.193403 | − | 0.0411090i | ||||
\(519\) | 1.84914 | + | 5.69106i | 0.0811681 | + | 0.249810i | ||||
\(520\) | 2.73451 | − | 0.581238i | 0.119916 | − | 0.0254890i | ||||
\(521\) | −12.0682 | − | 20.9028i | −0.528719 | − | 0.915769i | −0.999439 | − | 0.0334859i | \(-0.989339\pi\) |
0.470720 | − | 0.882283i | \(-0.343994\pi\) | |||||||
\(522\) | 1.51389 | − | 2.62213i | 0.0662611 | − | 0.114768i | ||||
\(523\) | −0.966854 | + | 2.97567i | −0.0422776 | + | 0.130117i | −0.969967 | − | 0.243235i | \(-0.921791\pi\) |
0.927690 | + | 0.373352i | \(0.121791\pi\) | |||||||
\(524\) | −0.579664 | + | 5.51513i | −0.0253227 | + | 0.240930i | ||||
\(525\) | −0.615397 | + | 0.447112i | −0.0268581 | + | 0.0195136i | ||||
\(526\) | 8.27329 | 0.360733 | ||||||||
\(527\) | −5.49498 | − | 41.0652i | −0.239365 | − | 1.78883i | ||||
\(528\) | −5.52005 | −0.240230 | ||||||||
\(529\) | 11.1825 | − | 8.12454i | 0.486194 | − | 0.353241i | ||||
\(530\) | −0.0954415 | + | 0.908065i | −0.00414571 | + | 0.0394438i | ||||
\(531\) | −0.502759 | + | 1.54733i | −0.0218179 | + | 0.0671486i | ||||
\(532\) | −0.291098 | + | 0.504197i | −0.0126207 | + | 0.0218597i | ||||
\(533\) | 3.55883 | + | 6.16408i | 0.154150 | + | 0.266996i | ||||
\(534\) | −2.39056 | + | 0.508130i | −0.103450 | + | 0.0219889i | ||||
\(535\) | 1.60040 | + | 4.92553i | 0.0691914 | + | 0.212949i | ||||
\(536\) | 9.46358 | + | 2.01155i | 0.408764 | + | 0.0868855i | ||||
\(537\) | 0.543217 | + | 5.16836i | 0.0234415 | + | 0.223031i | ||||
\(538\) | 20.9679 | + | 23.2872i | 0.903992 | + | 1.00398i | ||||
\(539\) | −32.3819 | − | 14.4173i | −1.39479 | − | 0.620998i | ||||
\(540\) | −0.913545 | + | 0.406737i | −0.0393127 | + | 0.0175032i | ||||
\(541\) | 4.83712 | − | 5.37217i | 0.207964 | − | 0.230967i | −0.630135 | − | 0.776486i | \(-0.717000\pi\) |
0.838099 | + | 0.545518i | \(0.183667\pi\) | |||||||
\(542\) | 2.47609 | + | 1.79899i | 0.106357 | + | 0.0772731i | ||||
\(543\) | 21.5936 | + | 15.6887i | 0.926671 | + | 0.673266i | ||||
\(544\) | −4.97918 | + | 5.52994i | −0.213480 | + | 0.237094i | ||||
\(545\) | 7.90697 | − | 3.52041i | 0.338698 | − | 0.150798i | ||||
\(546\) | −1.94269 | − | 0.864940i | −0.0831393 | − | 0.0370160i | ||||
\(547\) | 7.89365 | + | 8.76679i | 0.337508 | + | 0.374841i | 0.887877 | − | 0.460081i | \(-0.152180\pi\) |
−0.550369 | + | 0.834922i | \(0.685513\pi\) | |||||||
\(548\) | 0.552739 | + | 5.25896i | 0.0236118 | + | 0.224652i | ||||
\(549\) | 3.19473 | + | 0.679060i | 0.136348 | + | 0.0289816i | ||||
\(550\) | −1.70579 | − | 5.24988i | −0.0727351 | − | 0.223856i | ||||
\(551\) | 2.26673 | − | 0.481809i | 0.0965661 | − | 0.0205258i | ||||
\(552\) | 1.51474 | + | 2.62360i | 0.0644715 | + | 0.111668i | ||||
\(553\) | 0.531544 | − | 0.920660i | 0.0226035 | − | 0.0391505i | ||||
\(554\) | −2.70662 | + | 8.33013i | −0.114993 | + | 0.353913i | ||||
\(555\) | 0.618386 | − | 5.88355i | 0.0262490 | − | 0.249743i | ||||
\(556\) | −7.50955 | + | 5.45601i | −0.318476 | + | 0.231386i | ||||
\(557\) | 12.3484 | 0.523219 | 0.261609 | − | 0.965174i | \(-0.415747\pi\) | ||||
0.261609 | + | 0.965174i | \(0.415747\pi\) | |||||||
\(558\) | −1.57000 | + | 5.34182i | −0.0664635 | + | 0.226137i | ||||
\(559\) | −11.2911 | −0.477564 | ||||||||
\(560\) | 0.615397 | − | 0.447112i | 0.0260053 | − | 0.0188939i | ||||
\(561\) | 4.29363 | − | 40.8512i | 0.181277 | − | 1.72474i | ||||
\(562\) | 4.50216 | − | 13.8562i | 0.189912 | − | 0.584489i | ||||
\(563\) | −7.33946 | + | 12.7123i | −0.309321 | + | 0.535761i | −0.978214 | − | 0.207598i | \(-0.933435\pi\) |
0.668893 | + | 0.743359i | \(0.266769\pi\) | |||||||
\(564\) | −2.68050 | − | 4.64277i | −0.112869 | − | 0.195496i | ||||
\(565\) | −0.0348253 | + | 0.00740234i | −0.00146511 | + | 0.000311419i | ||||
\(566\) | −4.12774 | − | 12.7039i | −0.173502 | − | 0.533983i | ||||
\(567\) | 0.744050 | + | 0.158153i | 0.0312471 | + | 0.00664179i | ||||
\(568\) | −1.37473 | − | 13.0797i | −0.0576825 | − | 0.548812i | ||||
\(569\) | 28.9968 | + | 32.2042i | 1.21561 | + | 1.35007i | 0.918596 | + | 0.395197i | \(0.129324\pi\) |
0.297012 | + | 0.954874i | \(0.404010\pi\) | |||||||
\(570\) | −0.699202 | − | 0.311305i | −0.0292863 | − | 0.0130391i | ||||
\(571\) | −3.76257 | + | 1.67521i | −0.157459 | + | 0.0701052i | −0.483953 | − | 0.875094i | \(-0.660799\pi\) |
0.326494 | + | 0.945199i | \(0.394133\pi\) | |||||||
\(572\) | 10.3259 | − | 11.4681i | 0.431749 | − | 0.479506i | ||||
\(573\) | −10.5352 | − | 7.65424i | −0.440113 | − | 0.319761i | ||||
\(574\) | 1.56681 | + | 1.13836i | 0.0653975 | + | 0.0475141i | ||||
\(575\) | −2.02711 | + | 2.25134i | −0.0845365 | + | 0.0938873i | ||||
\(576\) | 0.913545 | − | 0.406737i | 0.0380644 | − | 0.0169474i | ||||
\(577\) | −21.7472 | − | 9.68247i | −0.905347 | − | 0.403086i | −0.0993816 | − | 0.995049i | \(-0.531686\pi\) |
−0.805965 | + | 0.591963i | \(0.798353\pi\) | |||||||
\(578\) | −25.6762 | − | 28.5163i | −1.06799 | − | 1.18612i | ||||
\(579\) | 1.18618 | + | 11.2858i | 0.0492961 | + | 0.469021i | ||||
\(580\) | −2.96161 | − | 0.629510i | −0.122974 | − | 0.0261390i | ||||
\(581\) | −0.381372 | − | 1.17374i | −0.0158220 | − | 0.0486950i | ||||
\(582\) | 11.0147 | − | 2.34124i | 0.456573 | − | 0.0970475i | ||||
\(583\) | 2.52009 | + | 4.36492i | 0.104371 | + | 0.180777i | ||||
\(584\) | 6.58051 | − | 11.3978i | 0.272303 | − | 0.471643i | ||||
\(585\) | 0.863888 | − | 2.65877i | 0.0357174 | − | 0.109927i | ||||
\(586\) | −0.601102 | + | 5.71910i | −0.0248313 | + | 0.236254i | ||||
\(587\) | 7.59346 | − | 5.51697i | 0.313416 | − | 0.227710i | −0.419945 | − | 0.907550i | \(-0.637951\pi\) |
0.733361 | + | 0.679840i | \(0.237951\pi\) | |||||||
\(588\) | 6.42138 | 0.264813 | ||||||||
\(589\) | −3.84239 | + | 1.84274i | −0.158323 | + | 0.0759287i | ||||
\(590\) | 1.62696 | 0.0669810 | ||||||||
\(591\) | 18.6158 | − | 13.5251i | 0.765750 | − | 0.556350i | ||||
\(592\) | −0.618386 | + | 5.88355i | −0.0254155 | + | 0.241812i | ||||
\(593\) | −4.44278 | + | 13.6735i | −0.182443 | + | 0.561502i | −0.999895 | − | 0.0144946i | \(-0.995386\pi\) |
0.817452 | + | 0.575997i | \(0.195386\pi\) | |||||||
\(594\) | −2.76003 | + | 4.78051i | −0.113245 | + | 0.196147i | ||||
\(595\) | 2.83018 | + | 4.90202i | 0.116026 | + | 0.200963i | ||||
\(596\) | −7.74590 | + | 1.64644i | −0.317284 | + | 0.0674409i | ||||
\(597\) | 1.44197 | + | 4.43792i | 0.0590158 | + | 0.181632i | ||||
\(598\) | −8.28413 | − | 1.76085i | −0.338763 | − | 0.0720063i | ||||
\(599\) | −2.17487 | − | 20.6925i | −0.0888627 | − | 0.845472i | −0.944636 | − | 0.328121i | \(-0.893585\pi\) |
0.855773 | − | 0.517351i | \(-0.173082\pi\) | |||||||
\(600\) | 0.669131 | + | 0.743145i | 0.0273171 | + | 0.0303388i | ||||
\(601\) | −29.6390 | − | 13.1961i | −1.20900 | − | 0.538281i | −0.299544 | − | 0.954082i | \(-0.596835\pi\) |
−0.909456 | + | 0.415801i | \(0.863501\pi\) | |||||||
\(602\) | −2.80666 | + | 1.24961i | −0.114391 | + | 0.0509302i | ||||
\(603\) | 6.47384 | − | 7.18992i | 0.263635 | − | 0.292796i | ||||
\(604\) | 10.8101 | + | 7.85403i | 0.439858 | + | 0.319576i | ||||
\(605\) | −15.7524 | − | 11.4448i | −0.640425 | − | 0.465296i | ||||
\(606\) | 5.91866 | − | 6.57333i | 0.240429 | − | 0.267023i | ||||
\(607\) | 36.5751 | − | 16.2843i | 1.48454 | − | 0.660958i | 0.505164 | − | 0.863023i | \(-0.331432\pi\) |
0.979372 | + | 0.202065i | \(0.0647652\pi\) | |||||||
\(608\) | 0.699202 | + | 0.311305i | 0.0283564 | + | 0.0126251i | ||||
\(609\) | 1.54111 | + | 1.71157i | 0.0624487 | + | 0.0693563i | ||||
\(610\) | −0.341400 | − | 3.24821i | −0.0138229 | − | 0.131516i | ||||
\(611\) | 14.6597 | + | 3.11602i | 0.593069 | + | 0.126061i | ||||
\(612\) | 2.29948 | + | 7.07706i | 0.0929509 | + | 0.286073i | ||||
\(613\) | 25.9133 | − | 5.50804i | 1.04663 | − | 0.222468i | 0.347660 | − | 0.937621i | \(-0.386976\pi\) |
0.698968 | + | 0.715153i | \(0.253643\pi\) | |||||||
\(614\) | 6.18744 | + | 10.7170i | 0.249705 | + | 0.432501i | ||||
\(615\) | −1.27301 | + | 2.20492i | −0.0513328 | + | 0.0889110i | ||||
\(616\) | 1.29755 | − | 3.99344i | 0.0522797 | − | 0.160900i | ||||
\(617\) | 4.39667 | − | 41.8315i | 0.177003 | − | 1.68407i | −0.440694 | − | 0.897657i | \(-0.645268\pi\) |
0.617697 | − | 0.786416i | \(-0.288066\pi\) | |||||||
\(618\) | −7.90798 | + | 5.74549i | −0.318106 | + | 0.231117i | ||||
\(619\) | −2.96570 | −0.119201 | −0.0596007 | − | 0.998222i | \(-0.518983\pi\) | ||||
−0.0596007 | + | 0.998222i | \(0.518983\pi\) | |||||||
\(620\) | 5.56553 | − | 0.157553i | 0.223517 | − | 0.00632747i | ||||
\(621\) | 3.02947 | 0.121569 | ||||||||
\(622\) | −2.78959 | + | 2.02675i | −0.111852 | + | 0.0812654i | ||||
\(623\) | 0.194325 | − | 1.84887i | 0.00778545 | − | 0.0740736i | ||||
\(624\) | −0.863888 | + | 2.65877i | −0.0345832 | + | 0.106436i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | 5.22363 | + | 9.04760i | 0.208778 | + | 0.361615i | ||||
\(627\) | −4.13257 | + | 0.878405i | −0.165039 | + | 0.0350801i | ||||
\(628\) | 0.317297 | + | 0.976539i | 0.0126615 | + | 0.0389681i | ||||
\(629\) | −43.0602 | − | 9.15273i | −1.71692 | − | 0.364943i | ||||
\(630\) | −0.0795119 | − | 0.756505i | −0.00316783 | − | 0.0301399i | ||||
\(631\) | −13.3118 | − | 14.7842i | −0.529934 | − | 0.588551i | 0.417430 | − | 0.908709i | \(-0.362931\pi\) |
−0.947364 | + | 0.320157i | \(0.896264\pi\) | |||||||
\(632\) | −1.27674 | − | 0.568440i | −0.0507859 | − | 0.0226113i | ||||
\(633\) | −19.4215 | + | 8.64700i | −0.771935 | + | 0.343687i | ||||
\(634\) | 0.112577 | − | 0.125029i | 0.00447100 | − | 0.00496555i | ||||
\(635\) | 8.05240 | + | 5.85041i | 0.319550 | + | 0.232166i | ||||
\(636\) | −0.738687 | − | 0.536687i | −0.0292908 | − | 0.0212810i | ||||
\(637\) | −12.0120 | + | 13.3406i | −0.475932 | + | 0.528576i | ||||
\(638\) | −15.2685 | + | 6.79799i | −0.604487 | + | 0.269135i | ||||
\(639\) | −12.0147 | − | 5.34930i | −0.475295 | − | 0.211615i | ||||
\(640\) | −0.669131 | − | 0.743145i | −0.0264497 | − | 0.0293754i | ||||
\(641\) | −1.27738 | − | 12.1534i | −0.0504534 | − | 0.480032i | −0.990352 | − | 0.138577i | \(-0.955747\pi\) |
0.939898 | − | 0.341455i | \(-0.110920\pi\) | |||||||
\(642\) | −5.06584 | − | 1.07678i | −0.199933 | − | 0.0424970i | ||||
\(643\) | −9.06275 | − | 27.8923i | −0.357400 | − | 1.09996i | −0.954605 | − | 0.297875i | \(-0.903722\pi\) |
0.597205 | − | 0.802089i | \(-0.296278\pi\) | |||||||
\(644\) | −2.25408 | + | 0.479119i | −0.0888232 | + | 0.0188799i | ||||
\(645\) | −2.01945 | − | 3.49779i | −0.0795157 | − | 0.137725i | ||||
\(646\) | −2.84767 | + | 4.93230i | −0.112040 | + | 0.194059i | ||||
\(647\) | 3.51188 | − | 10.8085i | 0.138066 | − | 0.424924i | −0.857988 | − | 0.513670i | \(-0.828286\pi\) |
0.996054 | + | 0.0887452i | \(0.0282857\pi\) | |||||||
\(648\) | 0.104528 | − | 0.994522i | 0.00410627 | − | 0.0390685i | ||||
\(649\) | 7.26572 | − | 5.27885i | 0.285204 | − | 0.207213i | ||||
\(650\) | −2.79560 | −0.109652 | ||||||||
\(651\) | −3.49546 | − | 2.39146i | −0.136998 | − | 0.0937287i | ||||
\(652\) | 2.16649 | 0.0848461 | ||||||||
\(653\) | −29.4085 | + | 21.3665i | −1.15084 | + | 0.836137i | −0.988593 | − | 0.150612i | \(-0.951875\pi\) |
−0.162251 | + | 0.986749i | \(0.551875\pi\) | |||||||
\(654\) | −0.904721 | + | 8.60785i | −0.0353774 | + | 0.336593i | ||||
\(655\) | 1.71366 | − | 5.27410i | 0.0669582 | − | 0.206076i | ||||
\(656\) | 1.27301 | − | 2.20492i | 0.0497027 | − | 0.0860877i | ||||
\(657\) | −6.58051 | − | 11.3978i | −0.256730 | − | 0.444669i | ||||
\(658\) | 3.98885 | − | 0.847857i | 0.155502 | − | 0.0330529i | ||||
\(659\) | 7.94664 | + | 24.4572i | 0.309557 | + | 0.952719i | 0.977937 | + | 0.208899i | \(0.0669880\pi\) |
−0.668380 | + | 0.743820i | \(0.733012\pi\) | |||||||
\(660\) | 5.39943 | + | 1.14768i | 0.210172 | + | 0.0446735i | ||||
\(661\) | −2.29450 | − | 21.8307i | −0.0892459 | − | 0.849118i | −0.943969 | − | 0.330034i | \(-0.892940\pi\) |
0.854723 | − | 0.519084i | \(-0.173727\pi\) | |||||||
\(662\) | 9.41760 | + | 10.4593i | 0.366025 | + | 0.406512i | ||||
\(663\) | −19.0043 | − | 8.46126i | −0.738066 | − | 0.328608i | ||||
\(664\) | −1.48217 | + | 0.659906i | −0.0575194 | + | 0.0256093i | ||||
\(665\) | 0.389566 | − | 0.432657i | 0.0151067 | − | 0.0167777i | ||||
\(666\) | 4.78611 | + | 3.47731i | 0.185458 | + | 0.134743i | ||||
\(667\) | 7.42077 | + | 5.39150i | 0.287333 | + | 0.208760i | ||||
\(668\) | 13.5751 | − | 15.0766i | 0.525234 | − | 0.583332i | ||||
\(669\) | 4.75589 | − | 2.11746i | 0.183873 | − | 0.0818656i | ||||
\(670\) | −8.83855 | − | 3.93518i | −0.341463 | − | 0.152029i | ||||
\(671\) | −12.0638 | − | 13.3982i | −0.465717 | − | 0.517231i | ||||
\(672\) | 0.0795119 | + | 0.756505i | 0.00306724 | + | 0.0291828i | ||||
\(673\) | 5.87020 | + | 1.24775i | 0.226280 | + | 0.0480972i | 0.319656 | − | 0.947534i | \(-0.396433\pi\) |
−0.0933764 | + | 0.995631i | \(0.529766\pi\) | |||||||
\(674\) | −5.54721 | − | 17.0725i | −0.213670 | − | 0.657610i | ||||
\(675\) | 0.978148 | − | 0.207912i | 0.0376489 | − | 0.00800252i | ||||
\(676\) | 2.59231 | + | 4.49001i | 0.0997042 | + | 0.172693i | ||||
\(677\) | 0.541635 | − | 0.938140i | 0.0208167 | − | 0.0360556i | −0.855429 | − | 0.517919i | \(-0.826707\pi\) |
0.876246 | + | 0.481864i | \(0.160040\pi\) | |||||||
\(678\) | 0.0110020 | − | 0.0338607i | 0.000422530 | − | 0.00130041i | ||||
\(679\) | −0.895363 | + | 8.51881i | −0.0343609 | + | 0.326922i | ||||
\(680\) | 6.02011 | − | 4.37387i | 0.230861 | − | 0.167730i | ||||
\(681\) | 29.3657 | 1.12530 | ||||||||
\(682\) | 24.3435 | − | 18.7616i | 0.932159 | − | 0.718418i | ||||
\(683\) | 34.8992 | 1.33538 | 0.667690 | − | 0.744440i | \(-0.267283\pi\) | ||||
0.667690 | + | 0.744440i | \(0.267283\pi\) | |||||||
\(684\) | 0.619199 | − | 0.449874i | 0.0236757 | − | 0.0172014i | ||||
\(685\) | 0.552739 | − | 5.25896i | 0.0211191 | − | 0.200935i | ||||
\(686\) | −3.15484 | + | 9.70959i | −0.120452 | + | 0.370714i | ||||
\(687\) | −12.7504 | + | 22.0843i | −0.486457 | + | 0.842568i | ||||
\(688\) | 2.01945 | + | 3.49779i | 0.0769907 | + | 0.133352i | ||||
\(689\) | 2.49679 | − | 0.530709i | 0.0951202 | − | 0.0202184i | ||||
\(690\) | −0.936159 | − | 2.88120i | −0.0356390 | − | 0.109685i | ||||
\(691\) | 20.0273 | + | 4.25693i | 0.761874 | + | 0.161941i | 0.572434 | − | 0.819951i | \(-0.305999\pi\) |
0.189440 | + | 0.981892i | \(0.439333\pi\) | |||||||
\(692\) | 0.625491 | + | 5.95115i | 0.0237776 | + | 0.226229i | ||||
\(693\) | −2.80965 | − | 3.12043i | −0.106730 | − | 0.118535i | ||||
\(694\) | −0.0699653 | − | 0.0311506i | −0.00265585 | − | 0.00118246i | ||||
\(695\) | 8.47981 | − | 3.77546i | 0.321658 | − | 0.143211i | ||||
\(696\) | 2.02598 | − | 2.25008i | 0.0767945 | − | 0.0852889i | ||||
\(697\) | 15.3273 | + | 11.1360i | 0.580564 | + | 0.421805i | ||||
\(698\) | −18.4760 | − | 13.4236i | −0.699326 | − | 0.508090i | ||||
\(699\) | −12.4436 | + | 13.8201i | −0.470662 | + | 0.522723i | ||||
\(700\) | −0.694909 | + | 0.309393i | −0.0262651 | + | 0.0116940i | ||||
\(701\) | 18.9127 | + | 8.42046i | 0.714321 | + | 0.318036i | 0.731524 | − | 0.681816i | \(-0.238809\pi\) |
−0.0172027 | + | 0.999852i | \(0.505476\pi\) | |||||||
\(702\) | 1.87062 | + | 2.07754i | 0.0706021 | + | 0.0784115i | ||||
\(703\) | 0.473295 | + | 4.50310i | 0.0178507 | + | 0.169838i | ||||
\(704\) | −5.39943 | − | 1.14768i | −0.203499 | − | 0.0432550i | ||||
\(705\) | 1.65664 | + | 5.09862i | 0.0623927 | + | 0.192025i | ||||
\(706\) | −16.3871 | + | 3.48318i | −0.616736 | + | 0.131091i | ||||
\(707\) | 3.36418 | + | 5.82694i | 0.126523 | + | 0.219145i | ||||
\(708\) | −0.813481 | + | 1.40899i | −0.0305725 | + | 0.0529531i | ||||
\(709\) | −3.93700 | + | 12.1168i | −0.147857 | + | 0.455058i | −0.997367 | − | 0.0725145i | \(-0.976898\pi\) |
0.849510 | + | 0.527572i | \(0.176898\pi\) | |||||||
\(710\) | −1.37473 | + | 13.0797i | −0.0515928 | + | 0.490873i | ||||
\(711\) | −1.13065 | + | 0.821467i | −0.0424028 | + | 0.0308074i | ||||
\(712\) | −2.44397 | −0.0915916 | ||||||||
\(713\) | −15.5971 | − | 6.42180i | −0.584116 | − | 0.240498i | ||||
\(714\) | −5.66036 | −0.211834 | ||||||||
\(715\) | −12.4846 | + | 9.07062i | −0.466899 | + | 0.339222i | ||||
\(716\) | −0.543217 | + | 5.16836i | −0.0203010 | + | 0.193151i | ||||
\(717\) | 0.625245 | − | 1.92431i | 0.0233502 | − | 0.0718645i | ||||
\(718\) | −13.7881 | + | 23.8817i | −0.514568 | + | 0.891258i | ||||
\(719\) | 18.9810 | + | 32.8760i | 0.707871 | + | 1.22607i | 0.965645 | + | 0.259863i | \(0.0836775\pi\) |
−0.257775 | + | 0.966205i | \(0.582989\pi\) | |||||||
\(720\) | −0.978148 | + | 0.207912i | −0.0364534 | + | 0.00774841i | ||||
\(721\) | −2.29767 | − | 7.07151i | −0.0855698 | − | 0.263357i | ||||
\(722\) | −18.0118 | − | 3.82853i | −0.670330 | − | 0.142483i | ||||
\(723\) | 2.96979 | + | 28.2557i | 0.110448 | + | 1.05084i | ||||
\(724\) | 17.8599 | + | 19.8354i | 0.663757 | + | 0.737177i | ||||
\(725\) | 2.76601 | + | 1.23151i | 0.102727 | + | 0.0457371i | ||||
\(726\) | 17.7876 | − | 7.91957i | 0.660161 | − | 0.293923i | ||||
\(727\) | 33.2778 | − | 36.9588i | 1.23421 | − | 1.37073i | 0.329801 | − | 0.944050i | \(-0.393018\pi\) |
0.904405 | − | 0.426675i | \(-0.140315\pi\) | |||||||
\(728\) | −1.72040 | − | 1.24995i | −0.0637624 | − | 0.0463261i | ||||
\(729\) | −0.809017 | − | 0.587785i | −0.0299636 | − | 0.0217698i | ||||
\(730\) | −8.80644 | + | 9.78054i | −0.325941 | + | 0.361994i | ||||
\(731\) | −27.4561 | + | 12.2243i | −1.01550 | + | 0.452131i | ||||
\(732\) | 2.98373 | + | 1.32844i | 0.110282 | + | 0.0491006i | ||||
\(733\) | 30.7041 | + | 34.1004i | 1.13408 | + | 1.25953i | 0.961582 | + | 0.274517i | \(0.0885180\pi\) |
0.172501 | + | 0.985009i | \(0.444815\pi\) | |||||||
\(734\) | −2.75529 | − | 26.2149i | −0.101700 | − | 0.967608i | ||||
\(735\) | −6.28106 | − | 1.33508i | −0.231680 | − | 0.0492452i | ||||
\(736\) | 0.936159 | + | 2.88120i | 0.0345073 | + | 0.106202i | ||||
\(737\) | −52.2394 | + | 11.1038i | −1.92426 | + | 0.409015i | ||||
\(738\) | −1.27301 | − | 2.20492i | −0.0468602 | − | 0.0811642i | ||||
\(739\) | 7.98070 | − | 13.8230i | 0.293575 | − | 0.508487i | −0.681077 | − | 0.732211i | \(-0.738488\pi\) |
0.974652 | + | 0.223725i | \(0.0718217\pi\) | |||||||
\(740\) | 1.82813 | − | 5.62641i | 0.0672035 | − | 0.206831i | ||||
\(741\) | −0.223657 | + | 2.12795i | −0.00821624 | + | 0.0781723i | ||||
\(742\) | 0.561898 | − | 0.408243i | 0.0206279 | − | 0.0149871i | ||||
\(743\) | 5.12451 | 0.188000 | 0.0940000 | − | 0.995572i | \(-0.470035\pi\) | ||||
0.0940000 | + | 0.995572i | \(0.470035\pi\) | |||||||
\(744\) | −2.64632 | + | 4.89867i | −0.0970189 | + | 0.179594i | ||||
\(745\) | 7.91895 | 0.290128 | ||||||||
\(746\) | 21.3986 | − | 15.5470i | 0.783460 | − | 0.569217i | ||||
\(747\) | −0.169591 | + | 1.61355i | −0.00620501 | + | 0.0590368i | ||||
\(748\) | 12.6932 | − | 39.0658i | 0.464111 | − | 1.42839i | ||||
\(749\) | 1.96977 | − | 3.41173i | 0.0719736 | − | 0.124662i | ||||
\(750\) | −0.500000 | − | 0.866025i | −0.0182574 | − | 0.0316228i | ||||
\(751\) | 47.8157 | − | 10.1635i | 1.74482 | − | 0.370873i | 0.778385 | − | 0.627787i | \(-0.216039\pi\) |
0.966434 | + | 0.256914i | \(0.0827057\pi\) | |||||||
\(752\) | −1.65664 | − | 5.09862i | −0.0604115 | − | 0.185927i | ||||
\(753\) | 21.7988 | + | 4.63347i | 0.794391 | + | 0.168853i | ||||
\(754\) | 0.884776 | + | 8.41808i | 0.0322217 | + | 0.306569i | ||||
\(755\) | −8.94097 | − | 9.92995i | −0.325395 | − | 0.361388i | ||||
\(756\) | 0.694909 | + | 0.309393i | 0.0252736 | + | 0.0112525i | ||||
\(757\) | 4.78574 | − | 2.13075i | 0.173941 | − | 0.0774434i | −0.317919 | − | 0.948118i | \(-0.602984\pi\) |
0.491860 | + | 0.870675i | \(0.336317\pi\) | |||||||
\(758\) | 22.6895 | − | 25.1992i | 0.824119 | − | 0.915277i | ||||
\(759\) | −13.5291 | − | 9.82945i | −0.491074 | − | 0.356786i | ||||
\(760\) | −0.619199 | − | 0.449874i | −0.0224607 | − | 0.0163187i | ||||
\(761\) | −32.0818 | + | 35.6304i | −1.16296 | + | 1.29160i | −0.213778 | + | 0.976882i | \(0.568577\pi\) |
−0.949185 | + | 0.314718i | \(0.898090\pi\) | |||||||
\(762\) | −9.09280 | + | 4.04838i | −0.329398 | + | 0.146657i | ||||
\(763\) | −6.01461 | − | 2.67788i | −0.217744 | − | 0.0969457i | ||||
\(764\) | −8.71354 | − | 9.67736i | −0.315245 | − | 0.350115i | ||||
\(765\) | −0.777824 | − | 7.40050i | −0.0281223 | − | 0.267566i | ||||
\(766\) | 3.19857 | + | 0.679878i | 0.115569 | + | 0.0245650i | ||||
\(767\) | −1.40551 | − | 4.32573i | −0.0507502 | − | 0.156193i | ||||
\(768\) | 0.978148 | − | 0.207912i | 0.0352959 | − | 0.00750237i | ||||
\(769\) | 20.8033 | + | 36.0323i | 0.750185 | + | 1.29936i | 0.947733 | + | 0.319066i | \(0.103369\pi\) |
−0.197547 | + | 0.980293i | \(0.563298\pi\) | |||||||
\(770\) | −2.09948 | + | 3.63640i | −0.0756598 | + | 0.131047i | ||||
\(771\) | −7.32822 | + | 22.5539i | −0.263919 | + | 0.812260i | ||||
\(772\) | −1.18618 | + | 11.2858i | −0.0426917 | + | 0.406184i | ||||
\(773\) | 44.3459 | − | 32.2192i | 1.59501 | − | 1.15884i | 0.698699 | − | 0.715415i | \(-0.253763\pi\) |
0.896311 | − | 0.443427i | \(-0.146237\pi\) | |||||||
\(774\) | 4.03890 | 0.145175 | ||||||||
\(775\) | −5.47667 | − | 1.00303i | −0.196728 | − | 0.0360299i | ||||
\(776\) | 11.2607 | 0.404237 | ||||||||
\(777\) | −3.64066 | + | 2.64510i | −0.130608 | + | 0.0948923i | ||||
\(778\) | −0.671640 | + | 6.39022i | −0.0240794 | + | 0.229101i | ||||
\(779\) | 0.602167 | − | 1.85328i | 0.0215749 | − | 0.0664006i | ||||
\(780\) | 1.39780 | − | 2.42106i | 0.0500493 | − | 0.0866879i | ||||
\(781\) | 36.2992 | + | 62.8721i | 1.29889 | + | 2.24974i | ||||
\(782\) | −22.0505 | + | 4.68698i | −0.788524 | + | 0.167606i | ||||
\(783\) | −0.935635 | − | 2.87959i | −0.0334368 | − | 0.102908i | ||||
\(784\) | 6.28106 | + | 1.33508i | 0.224323 | + | 0.0476814i | ||||
\(785\) | −0.107329 | − | 1.02117i | −0.00383074 | − | 0.0364471i | ||||
\(786\) | 3.71067 | + | 4.12112i | 0.132355 | + | 0.146995i | ||||
\(787\) | −2.07642 | − | 0.924481i | −0.0740163 | − | 0.0329542i | 0.369395 | − | 0.929273i | \(-0.379565\pi\) |
−0.443411 | + | 0.896318i | \(0.646232\pi\) | |||||||
\(788\) | 21.0210 | − | 9.35915i | 0.748842 | − | 0.333406i | ||||
\(789\) | 5.53591 | − | 6.14825i | 0.197084 | − | 0.218884i | ||||
\(790\) | 1.13065 | + | 0.821467i | 0.0402268 | + | 0.0292265i | ||||
\(791\) | 0.0219101 | + | 0.0159186i | 0.000779035 | + | 0.000566002i | ||||
\(792\) | −3.69364 | + | 4.10220i | −0.131248 | + | 0.145765i | ||||
\(793\) | −8.34131 | + | 3.71379i | −0.296209 | + | 0.131881i | ||||
\(794\) | −12.8226 | − | 5.70897i | −0.455055 | − | 0.202604i | ||||
\(795\) | 0.610961 | + | 0.678541i | 0.0216686 | + | 0.0240654i | ||||
\(796\) | 0.487762 | + | 4.64074i | 0.0172882 | + | 0.164487i | ||||
\(797\) | −27.8668 | − | 5.92327i | −0.987092 | − | 0.209813i | −0.314041 | − | 0.949409i | \(-0.601683\pi\) |
−0.673051 | + | 0.739596i | \(0.735016\pi\) | |||||||
\(798\) | 0.179909 | + | 0.553702i | 0.00636870 | + | 0.0196008i | ||||
\(799\) | 39.0209 | − | 8.29415i | 1.38046 | − | 0.293426i | ||||
\(800\) | 0.500000 | + | 0.866025i | 0.0176777 | + | 0.0306186i | ||||
\(801\) | −1.22198 | + | 2.11654i | −0.0431767 | + | 0.0747842i | ||||
\(802\) | 12.3190 | − | 37.9141i | 0.435000 | − | 1.33879i | ||||
\(803\) | −7.59394 | + | 72.2515i | −0.267984 | + | 2.54970i | ||||
\(804\) | 7.82724 | − | 5.68682i | 0.276045 | − | 0.200559i | ||||
\(805\) | 2.30444 | 0.0812207 | ||||||||
\(806\) | −5.22690 | − | 14.6614i | −0.184110 | − | 0.516425i | ||||
\(807\) | 31.3361 | 1.10308 | ||||||||
\(808\) | 7.15599 | − | 5.19913i | 0.251747 | − | 0.182905i | ||||
\(809\) | −3.04186 | + | 28.9414i | −0.106946 | + | 1.01752i | 0.801065 | + | 0.598578i | \(0.204267\pi\) |
−0.908011 | + | 0.418947i | \(0.862399\pi\) | |||||||
\(810\) | −0.309017 | + | 0.951057i | −0.0108578 | + | 0.0334167i | ||||
\(811\) | −16.0966 | + | 27.8800i | −0.565226 | + | 0.979001i | 0.431802 | + | 0.901968i | \(0.357878\pi\) |
−0.997029 | + | 0.0770325i | \(0.975455\pi\) | |||||||
\(812\) | 1.15157 | + | 1.99458i | 0.0404123 | + | 0.0699961i | ||||
\(813\) | 2.99374 | − | 0.636339i | 0.104995 | − | 0.0223174i | ||||
\(814\) | −10.0914 | − | 31.0581i | −0.353703 | − | 1.08859i | ||||
\(815\) | −2.11914 | − | 0.450438i | −0.0742303 | − | 0.0157781i | ||||
\(816\) | 0.777824 | + | 7.40050i | 0.0272293 | + | 0.259069i | ||||
\(817\) | 2.06845 | + | 2.29725i | 0.0723661 | + | 0.0803707i | ||||
\(818\) | 22.7996 | + | 10.1510i | 0.797168 | + | 0.354922i | ||||
\(819\) | −1.94269 | + | 0.864940i | −0.0678830 | + | 0.0302234i | ||||
\(820\) | −1.70362 | + | 1.89206i | −0.0594930 | + | 0.0660737i | ||||
\(821\) | −33.0509 | − | 24.0129i | −1.15349 | − | 0.838056i | −0.164545 | − | 0.986370i | \(-0.552616\pi\) |
−0.988940 | + | 0.148313i | \(0.952616\pi\) | |||||||
\(822\) | 4.27803 | + | 3.10817i | 0.149213 | + | 0.108410i | ||||
\(823\) | −29.0324 | + | 32.2437i | −1.01200 | + | 1.12394i | −0.0197395 | + | 0.999805i | \(0.506284\pi\) |
−0.992265 | + | 0.124139i | \(0.960383\pi\) | |||||||
\(824\) | −8.92973 | + | 3.97577i | −0.311082 | + | 0.138503i | ||||
\(825\) | −5.04282 | − | 2.24521i | −0.175568 | − | 0.0781681i | ||||
\(826\) | −0.828106 | − | 0.919705i | −0.0288135 | − | 0.0320006i | ||||
\(827\) | −5.47087 | − | 52.0519i | −0.190241 | − | 1.81002i | −0.507467 | − | 0.861671i | \(-0.669418\pi\) |
0.317226 | − | 0.948350i | \(-0.397249\pi\) | |||||||
\(828\) | 2.96327 | + | 0.629863i | 0.102981 | + | 0.0218893i | ||||
\(829\) | 14.6557 | + | 45.1056i | 0.509014 | + | 1.56658i | 0.793916 | + | 0.608027i | \(0.208039\pi\) |
−0.284902 | + | 0.958557i | \(0.591961\pi\) | |||||||
\(830\) | 1.58699 | − | 0.337324i | 0.0550851 | − | 0.0117087i | ||||
\(831\) | 4.37941 | + | 7.58536i | 0.151920 | + | 0.263133i | ||||
\(832\) | −1.39780 | + | 2.42106i | −0.0484600 | + | 0.0839352i | ||||
\(833\) | −14.7658 | + | 45.4445i | −0.511605 | + | 1.57456i | ||||
\(834\) | −0.970266 | + | 9.23146i | −0.0335976 | + | 0.319659i | ||||
\(835\) | −16.4130 | + | 11.9247i | −0.567996 | + | 0.412673i | ||||
\(836\) | −4.22489 | −0.146121 | ||||||||
\(837\) | 2.91921 | + | 4.74112i | 0.100903 | + | 0.163877i | ||||
\(838\) | −22.3354 | −0.771565 | ||||||||
\(839\) | −28.3073 | + | 20.5664i | −0.977275 | + | 0.710032i | −0.957098 | − | 0.289764i | \(-0.906423\pi\) |
−0.0201773 | + | 0.999796i | \(0.506423\pi\) | |||||||
\(840\) | 0.0795119 | − | 0.756505i | 0.00274342 | − | 0.0261019i | ||||
\(841\) | −6.12860 | + | 18.8619i | −0.211331 | + | 0.650410i | ||||
\(842\) | 4.10639 | − | 7.11248i | 0.141516 | − | 0.245112i | ||||
\(843\) | −7.28464 | − | 12.6174i | −0.250896 | − | 0.434565i | ||||
\(844\) | −20.7949 | + | 4.42009i | −0.715790 | + | 0.152146i | ||||
\(845\) | −1.60214 | − | 4.93087i | −0.0551151 | − | 0.169627i | ||||
\(846\) | −5.24385 | − | 1.11462i | −0.180287 | − | 0.0383213i | ||||
\(847\) | 1.54818 | + | 14.7299i | 0.0531959 | + | 0.506126i | ||||
\(848\) | −0.610961 | − | 0.678541i | −0.0209805 | − | 0.0233012i | ||||
\(849\) | −12.2028 | − | 5.43304i | −0.418799 | − | 0.186461i | ||||
\(850\) | −6.79793 | + | 3.02663i | −0.233167 | + | 0.103813i | ||||
\(851\) | −11.9923 | + | 13.3188i | −0.411091 | + | 0.456563i | ||||
\(852\) | −10.6400 | − | 7.73041i | −0.364520 | − | 0.264839i | ||||
\(853\) | 30.6279 | + | 22.2525i | 1.04868 | + | 0.761910i | 0.971961 | − | 0.235143i | \(-0.0755559\pi\) |
0.0767181 | + | 0.997053i | \(0.475556\pi\) | |||||||
\(854\) | −1.66241 | + | 1.84629i | −0.0568864 | + | 0.0631788i | ||||
\(855\) | −0.699202 | + | 0.311305i | −0.0239122 | + | 0.0106464i | ||||
\(856\) | −4.73126 | − | 2.10649i | −0.161711 | − | 0.0719985i | ||||
\(857\) | 2.79396 | + | 3.10300i | 0.0954397 | + | 0.105997i | 0.788972 | − | 0.614429i | \(-0.210613\pi\) |
−0.693533 | + | 0.720425i | \(0.743947\pi\) | |||||||
\(858\) | −1.61307 | − | 15.3473i | −0.0550693 | − | 0.523949i | ||||
\(859\) | 20.1512 | + | 4.28328i | 0.687551 | + | 0.146143i | 0.538423 | − | 0.842674i | \(-0.319020\pi\) |
0.149128 | + | 0.988818i | \(0.452353\pi\) | |||||||
\(860\) | −1.24809 | − | 3.84122i | −0.0425594 | − | 0.130984i | ||||
\(861\) | 1.89437 | − | 0.402660i | 0.0645599 | − | 0.0137226i | ||||
\(862\) | 4.13527 | + | 7.16251i | 0.140848 | + | 0.243956i | ||||
\(863\) | −15.6315 | + | 27.0746i | −0.532103 | + | 0.921630i | 0.467194 | + | 0.884155i | \(0.345265\pi\) |
−0.999298 | + | 0.0374750i | \(0.988069\pi\) | |||||||
\(864\) | 0.309017 | − | 0.951057i | 0.0105130 | − | 0.0323556i | ||||
\(865\) | 0.625491 | − | 5.95115i | 0.0212673 | − | 0.202345i | ||||
\(866\) | −12.6869 | + | 9.21758i | −0.431119 | + | 0.313226i | ||||
\(867\) | −38.3724 | −1.30320 | ||||||||
\(868\) | −2.92186 | − | 3.06595i | −0.0991744 | − | 0.104065i | ||||
\(869\) | 7.71462 | 0.261701 | ||||||||
\(870\) | −2.44952 | + | 1.77968i | −0.0830466 | + | 0.0603369i | ||||
\(871\) | −2.82723 | + | 26.8993i | −0.0957969 | + | 0.911447i | ||||
\(872\) | −2.67462 | + | 8.23164i | −0.0905742 | + | 0.278759i | ||||
\(873\) | 5.63037 | − | 9.75209i | 0.190559 | − | 0.330058i | ||||
\(874\) | 1.15934 | + | 2.00803i | 0.0392152 | + | 0.0679226i | ||||
\(875\) | 0.744050 | − | 0.158153i | 0.0251535 | − | 0.00534653i | ||||
\(876\) | −4.06698 | − | 12.5169i | −0.137410 | − | 0.422906i | ||||
\(877\) | −29.5511 | − | 6.28128i | −0.997869 | − | 0.212104i | −0.320104 | − | 0.947382i | \(-0.603718\pi\) |
−0.677765 | + | 0.735279i | \(0.737051\pi\) | |||||||
\(878\) | −3.00904 | − | 28.6291i | −0.101550 | − | 0.966185i | ||||
\(879\) | 3.84791 | + | 4.27353i | 0.129787 | + | 0.144143i | ||||
\(880\) | 5.04282 | + | 2.24521i | 0.169993 | + | 0.0756859i | ||||
\(881\) | −3.42159 | + | 1.52339i | −0.115276 | + | 0.0513243i | −0.463564 | − | 0.886063i | \(-0.653430\pi\) |
0.348288 | + | 0.937388i | \(0.386763\pi\) | |||||||
\(882\) | 4.29674 | − | 4.77201i | 0.144679 | − | 0.160682i | ||||
\(883\) | −35.9250 | − | 26.1011i | −1.20897 | − | 0.878371i | −0.213837 | − | 0.976869i | \(-0.568596\pi\) |
−0.995137 | + | 0.0984983i | \(0.968596\pi\) | |||||||
\(884\) | −16.8298 | − | 12.2276i | −0.566048 | − | 0.411258i | ||||
\(885\) | 1.08865 | − | 1.20907i | 0.0365946 | − | 0.0406424i | ||||
\(886\) | −22.3679 | + | 9.95885i | −0.751465 | + | 0.334574i | ||||
\(887\) | −46.6121 | − | 20.7531i | −1.56508 | − | 0.696819i | −0.572671 | − | 0.819785i | \(-0.694093\pi\) |
−0.992411 | + | 0.122966i | \(0.960759\pi\) | |||||||
\(888\) | 3.95855 | + | 4.39641i | 0.132840 | + | 0.147534i | ||||
\(889\) | −0.791407 | − | 7.52973i | −0.0265429 | − | 0.252539i | ||||
\(890\) | 2.39056 | + | 0.508130i | 0.0801318 | + | 0.0170325i | ||||
\(891\) | 1.70579 | + | 5.24988i | 0.0571461 | + | 0.175878i | ||||
\(892\) | 5.09220 | − | 1.08238i | 0.170500 | − | 0.0362408i | ||||
\(893\) | −2.05158 | − | 3.55344i | −0.0686535 | − | 0.118911i | ||||
\(894\) | −3.95947 | + | 6.85801i | −0.132425 | + | 0.229366i | ||||
\(895\) | 1.60591 | − | 4.94248i | 0.0536796 | − | 0.165209i | ||||
\(896\) | −0.0795119 | + | 0.756505i | −0.00265631 | + | 0.0252731i | ||||
\(897\) | −6.85173 | + | 4.97807i | −0.228772 | + | 0.166213i | ||||
\(898\) | −24.6646 | −0.823067 | ||||||||
\(899\) | −1.28701 | + | 16.8087i | −0.0429241 | + | 0.560603i | ||||
\(900\) | 1.00000 | 0.0333333 | ||||||||
\(901\) | 5.49676 | − | 3.99363i | 0.183124 | − | 0.133047i | ||||
\(902\) | −1.46906 | + | 13.9772i | −0.0489144 | + | 0.465390i | ||||
\(903\) | −0.949385 | + | 2.92191i | −0.0315936 | + | 0.0972350i | ||||
\(904\) | 0.0178016 | − | 0.0308333i | 0.000592074 | − | 0.00102550i | ||||
\(905\) | −13.3456 | − | 23.1152i | −0.443622 | − | 0.768376i | ||||
\(906\) | 13.0701 | − | 2.77813i | 0.434224 | − | 0.0922972i | ||||
\(907\) | 1.87666 | + | 5.77577i | 0.0623135 | + | 0.191781i | 0.977367 | − | 0.211552i | \(-0.0678516\pi\) |
−0.915053 | + | 0.403333i | \(0.867852\pi\) | |||||||
\(908\) | 28.7240 | + | 6.10547i | 0.953239 | + | 0.202617i | ||||
\(909\) | −0.924585 | − | 8.79684i | −0.0306665 | − | 0.291773i | ||||
\(910\) | 1.42293 | + | 1.58032i | 0.0471697 | + | 0.0523872i | ||||
\(911\) | 10.5458 | + | 4.69528i | 0.349397 | + | 0.155561i | 0.573929 | − | 0.818905i | \(-0.305419\pi\) |
−0.224532 | + | 0.974467i | \(0.572085\pi\) | |||||||
\(912\) | 0.699202 | − | 0.311305i | 0.0231529 | − | 0.0103083i | ||||
\(913\) | 5.99270 | − | 6.65557i | 0.198329 | − | 0.220267i | ||||
\(914\) | 33.4972 | + | 24.3371i | 1.10799 | + | 0.805000i | ||||
\(915\) | −2.64233 | − | 1.91976i | −0.0873527 | − | 0.0634655i | ||||
\(916\) | −17.0633 | + | 18.9507i | −0.563788 | + | 0.626150i | ||||
\(917\) | −3.85362 | + | 1.71574i | −0.127258 | + | 0.0566589i | ||||
\(918\) | 6.79793 | + | 3.02663i | 0.224365 | + | 0.0998938i | ||||
\(919\) | −25.3009 | − | 28.0995i | −0.834599 | − | 0.926916i | 0.163623 | − | 0.986523i | \(-0.447682\pi\) |
−0.998222 | + | 0.0596068i | \(0.981015\pi\) | |||||||
\(920\) | −0.316666 | − | 3.01288i | −0.0104402 | − | 0.0993317i | ||||
\(921\) | 12.1045 | + | 2.57288i | 0.398855 | + | 0.0847793i | ||||
\(922\) | −7.83823 | − | 24.1236i | −0.258138 | − | 0.794468i | ||||
\(923\) | 35.9636 | − | 7.64430i | 1.18376 | − | 0.251615i | ||||
\(924\) | −2.09948 | − | 3.63640i | −0.0690677 | − | 0.119629i | ||||
\(925\) | −2.95798 | + | 5.12337i | −0.0972578 | + | 0.168455i | ||||
\(926\) | 9.33099 | − | 28.7178i | 0.306635 | − | 0.943726i | ||||
\(927\) | −1.02175 | + | 9.72126i | −0.0335585 | + | 0.319288i | ||||
\(928\) | 2.44952 | − | 1.77968i | 0.0804095 | − | 0.0584209i | ||||
\(929\) | 44.6319 | 1.46432 | 0.732162 | − | 0.681130i | \(-0.238511\pi\) | ||||
0.732162 | + | 0.681130i | \(0.238511\pi\) | |||||||
\(930\) | 3.60699 | − | 4.24142i | 0.118278 | − | 0.139082i | ||||
\(931\) | 4.91474 | 0.161074 | ||||||||
\(932\) | −15.0451 | + | 10.9309i | −0.492818 | + | 0.358053i | ||||
\(933\) | −0.360427 | + | 3.42923i | −0.0117998 | + | 0.112268i | ||||
\(934\) | −7.26562 | + | 22.3613i | −0.237738 | + | 0.731683i | ||||
\(935\) | −20.5381 | + | 35.5730i | −0.671667 | + | 1.16336i | ||||
\(936\) | 1.39780 | + | 2.42106i | 0.0456885 | + | 0.0791349i | ||||
\(937\) | −30.2728 | + | 6.43469i | −0.988971 | + | 0.210212i | −0.673873 | − | 0.738847i | \(-0.735371\pi\) |
−0.315098 | + | 0.949059i | \(0.602037\pi\) | |||||||
\(938\) | 2.27421 | + | 6.99930i | 0.0742556 | + | 0.228535i | ||||
\(939\) | 10.2190 | + | 2.17211i | 0.333484 | + | 0.0708841i | ||||
\(940\) | 0.560378 | + | 5.33164i | 0.0182775 | + | 0.173899i | ||||
\(941\) | 15.7855 | + | 17.5316i | 0.514593 | + | 0.571514i | 0.943305 | − | 0.331928i | \(-0.107699\pi\) |
−0.428711 | + | 0.903441i | \(0.641032\pi\) | |||||||
\(942\) | 0.938023 | + | 0.417635i | 0.0305624 | + | 0.0136073i | ||||
\(943\) | 7.04628 | − | 3.13720i | 0.229458 | − | 0.102161i | ||||
\(944\) | −1.08865 | + | 1.20907i | −0.0354326 | + | 0.0393518i | ||||
\(945\) | −0.615397 | − | 0.447112i | −0.0200189 | − | 0.0145445i | ||||
\(946\) | −18.0370 | − | 13.1046i | −0.586433 | − | 0.426068i | ||||
\(947\) | 27.7035 | − | 30.7679i | 0.900244 | − | 0.999822i | −0.0997449 | − | 0.995013i | \(-0.531803\pi\) |
0.999988 | − | 0.00480874i | \(-0.00153067\pi\) | |||||||
\(948\) | −1.27674 | + | 0.568440i | −0.0414665 | + | 0.0184621i | ||||
\(949\) | 33.6120 | + | 14.9650i | 1.09109 | + | 0.485785i | ||||
\(950\) | 0.512134 | + | 0.568782i | 0.0166158 | + | 0.0184537i | ||||
\(951\) | −0.0175863 | − | 0.167322i | −0.000570273 | − | 0.00542579i | ||||
\(952\) | −5.53667 | − | 1.17686i | −0.179444 | − | 0.0381421i | ||||
\(953\) | −6.87455 | − | 21.1577i | −0.222688 | − | 0.685365i | −0.998518 | − | 0.0544221i | \(-0.982668\pi\) |
0.775830 | − | 0.630943i | \(-0.217332\pi\) | |||||||
\(954\) | −0.893114 | + | 0.189837i | −0.0289156 | + | 0.00614621i | ||||
\(955\) | 6.51109 | + | 11.2775i | 0.210694 | + | 0.364933i | ||||
\(956\) | 1.01167 | − | 1.75226i | 0.0327197 | − | 0.0566721i | ||||
\(957\) | −5.16475 | + | 15.8955i | −0.166953 | + | 0.513828i | ||||
\(958\) | 2.95872 | − | 28.1503i | 0.0955919 | − | 0.909496i | ||||
\(959\) | −3.25417 | + | 2.36430i | −0.105083 | + | 0.0763471i | ||||
\(960\) | −1.00000 | −0.0322749 | ||||||||
\(961\) | −4.97932 | − | 30.5975i | −0.160623 | − | 0.987016i | ||||
\(962\) | −16.5387 | −0.533228 | ||||||||
\(963\) | −4.18991 | + | 3.04415i | −0.135018 | + | 0.0980963i | ||||
\(964\) | −2.96979 | + | 28.2557i | −0.0956506 | + | 0.910054i | ||||
\(965\) | 3.50671 | − | 10.7925i | 0.112885 | − | 0.347424i | ||||
\(966\) | −1.15222 | + | 1.99570i | −0.0370720 | + | 0.0642106i | ||||
\(967\) | −27.4155 | − | 47.4850i | −0.881623 | − | 1.52702i | −0.849536 | − | 0.527530i | \(-0.823118\pi\) |
−0.0320863 | − | 0.999485i | \(-0.510215\pi\) | |||||||
\(968\) | 19.0455 | − | 4.04825i | 0.612146 | − | 0.130116i | ||||
\(969\) | 1.75995 | + | 5.41658i | 0.0565379 | + | 0.174006i | ||||
\(970\) | −11.0147 | − | 2.34124i | −0.353660 | − | 0.0751727i | ||||
\(971\) | 5.97841 | + | 56.8807i | 0.191856 | + | 1.82539i | 0.490974 | + | 0.871174i | \(0.336641\pi\) |
−0.299118 | + | 0.954216i | \(0.596692\pi\) | |||||||
\(972\) | −0.669131 | − | 0.743145i | −0.0214624 | − | 0.0238364i | ||||
\(973\) | −6.45036 | − | 2.87188i | −0.206789 | − | 0.0920684i | ||||
\(974\) | −3.49533 | + | 1.55622i | −0.111997 | + | 0.0498645i | ||||
\(975\) | −1.87062 | + | 2.07754i | −0.0599078 | + | 0.0665344i | ||||
\(976\) | 2.64233 | + | 1.91976i | 0.0845789 | + | 0.0614502i | ||||
\(977\) | −20.6480 | − | 15.0016i | −0.660587 | − | 0.479945i | 0.206274 | − | 0.978494i | \(-0.433866\pi\) |
−0.866861 | + | 0.498549i | \(0.833866\pi\) | |||||||
\(978\) | 1.44966 | − | 1.61001i | 0.0463551 | − | 0.0514825i | ||||
\(979\) | 12.3245 | − | 5.48722i | 0.393893 | − | 0.175372i | ||||
\(980\) | −5.86622 | − | 2.61181i | −0.187390 | − | 0.0834312i | ||||
\(981\) | 5.79150 | + | 6.43211i | 0.184908 | + | 0.205362i | ||||
\(982\) | −0.774083 | − | 7.36490i | −0.0247020 | − | 0.235024i | ||||
\(983\) | 38.7333 | + | 8.23302i | 1.23540 | + | 0.262592i | 0.778910 | − | 0.627136i | \(-0.215773\pi\) |
0.456491 | + | 0.889728i | \(0.349106\pi\) | |||||||
\(984\) | −0.786764 | − | 2.42141i | −0.0250811 | − | 0.0771918i | ||||
\(985\) | −22.5075 | + | 4.78412i | −0.717149 | + | 0.152435i | ||||
\(986\) | 11.2652 | + | 19.5120i | 0.358758 | + | 0.621388i | ||||
\(987\) | 2.03898 | − | 3.53162i | 0.0649016 | − | 0.112413i | ||||
\(988\) | −0.661195 | + | 2.03495i | −0.0210354 | + | 0.0647404i | ||||
\(989\) | −1.27898 | + | 12.1687i | −0.0406693 | + | 0.386942i | ||||
\(990\) | 4.46582 | − | 3.24461i | 0.141933 | − | 0.103120i | ||||
\(991\) | −2.99463 | −0.0951277 | −0.0475638 | − | 0.998868i | \(-0.515146\pi\) | ||||
−0.0475638 | + | 0.998868i | \(0.515146\pi\) | |||||||
\(992\) | −3.60699 | + | 4.24142i | −0.114522 | + | 0.134665i | ||||
\(993\) | 14.0744 | 0.446637 | ||||||||
\(994\) | 8.09355 | − | 5.88031i | 0.256712 | − | 0.186512i | ||||
\(995\) | 0.487762 | − | 4.64074i | 0.0154631 | − | 0.147121i | ||||
\(996\) | −0.501361 | + | 1.54303i | −0.0158862 | + | 0.0488928i | ||||
\(997\) | −1.68806 | + | 2.92381i | −0.0534615 | + | 0.0925981i | −0.891518 | − | 0.452986i | \(-0.850359\pi\) |
0.838056 | + | 0.545584i | \(0.183692\pi\) | |||||||
\(998\) | 7.55418 | + | 13.0842i | 0.239123 | + | 0.414174i | ||||
\(999\) | 5.78668 | − | 1.23000i | 0.183082 | − | 0.0389154i |
(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 | 930.2.bg.h.121.3 | ✓ | 24 | |
31.10 | even | 15 | inner | 930.2.bg.h.661.3 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.bg.h.121.3 | ✓ | 24 | 1.1 | even | 1 | trivial | |
930.2.bg.h.661.3 | yes | 24 | 31.10 | even | 15 | inner |