Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [825,2,Mod(49,825)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(825, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("825.49");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 825 = 3 \cdot 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 825.bx (of order \(10\), degree \(4\), not 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: | \(6.58765816676\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\Q(\zeta_{20})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - x^{6} + x^{4} - x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 33) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 724.2 | ||
Root | \(0.587785 - 0.809017i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 825.724 |
Dual form | 825.2.bx.b.49.2 |
$q$-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 \(\left(\mathbb{Z}/825\mathbb{Z}\right)^\times\).
\(n\) | \(376\) | \(551\) | \(727\) |
\(\chi(n)\) | \(e\left(\frac{3}{5}\right)\) | \(1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.587785 | + | 0.190983i | 0.415627 | + | 0.135045i | 0.509363 | − | 0.860552i | \(-0.329881\pi\) |
−0.0937362 | + | 0.995597i | \(0.529881\pi\) | |||||||
\(3\) | −0.587785 | − | 0.809017i | −0.339358 | − | 0.467086i | ||||
\(4\) | −1.30902 | − | 0.951057i | −0.654508 | − | 0.475528i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | −0.190983 | − | 0.587785i | −0.0779685 | − | 0.239962i | ||||
\(7\) | −1.76336 | + | 2.42705i | −0.666486 | + | 0.917339i | −0.999674 | − | 0.0255212i | \(-0.991875\pi\) |
0.333188 | + | 0.942860i | \(0.391875\pi\) | |||||||
\(8\) | −1.31433 | − | 1.80902i | −0.464685 | − | 0.639584i | ||||
\(9\) | −0.309017 | + | 0.951057i | −0.103006 | + | 0.317019i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.69098 | + | 2.85317i | 0.509851 | + | 0.860263i | ||||
\(12\) | 1.61803i | 0.467086i | ||||||||
\(13\) | 1.67760 | + | 0.545085i | 0.465282 | + | 0.151179i | 0.532270 | − | 0.846574i | \(-0.321339\pi\) |
−0.0669881 | + | 0.997754i | \(0.521339\pi\) | |||||||
\(14\) | −1.50000 | + | 1.08981i | −0.400892 | + | 0.291265i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.572949 | + | 1.76336i | 0.143237 | + | 0.440839i | ||||
\(17\) | 1.53884 | − | 0.500000i | 0.373224 | − | 0.121268i | −0.116398 | − | 0.993203i | \(-0.537135\pi\) |
0.489622 | + | 0.871935i | \(0.337135\pi\) | |||||||
\(18\) | −0.363271 | + | 0.500000i | −0.0856239 | + | 0.117851i | ||||
\(19\) | 4.73607 | − | 3.44095i | 1.08653 | − | 0.789409i | 0.107719 | − | 0.994181i | \(-0.465645\pi\) |
0.978810 | + | 0.204772i | \(0.0656454\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 3.00000 | 0.654654 | ||||||||
\(22\) | 0.449028 | + | 2.00000i | 0.0957331 | + | 0.426401i | ||||
\(23\) | 3.47214i | 0.723990i | 0.932180 | + | 0.361995i | \(0.117904\pi\) | ||||
−0.932180 | + | 0.361995i | \(0.882096\pi\) | |||||||
\(24\) | −0.690983 | + | 2.12663i | −0.141046 | + | 0.434096i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.881966 | + | 0.640786i | 0.172968 | + | 0.125668i | ||||
\(27\) | 0.951057 | − | 0.309017i | 0.183031 | − | 0.0594703i | ||||
\(28\) | 4.61653 | − | 1.50000i | 0.872441 | − | 0.283473i | ||||
\(29\) | 3.61803 | + | 2.62866i | 0.671852 | + | 0.488129i | 0.870645 | − | 0.491912i | \(-0.163702\pi\) |
−0.198793 | + | 0.980042i | \(0.563702\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 0.881966 | − | 2.71441i | 0.158406 | − | 0.487523i | −0.840084 | − | 0.542456i | \(-0.817495\pi\) |
0.998490 | + | 0.0549331i | \(0.0174946\pi\) | |||||||
\(32\) | 5.61803i | 0.993137i | ||||||||
\(33\) | 1.31433 | − | 3.04508i | 0.228795 | − | 0.530081i | ||||
\(34\) | 1.00000 | 0.171499 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 1.30902 | − | 0.951057i | 0.218169 | − | 0.158509i | ||||
\(37\) | −0.138757 | + | 0.190983i | −0.0228116 | + | 0.0313974i | −0.820270 | − | 0.571976i | \(-0.806177\pi\) |
0.797459 | + | 0.603373i | \(0.206177\pi\) | |||||||
\(38\) | 3.44095 | − | 1.11803i | 0.558197 | − | 0.181369i | ||||
\(39\) | −0.545085 | − | 1.67760i | −0.0872835 | − | 0.268631i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 9.66312 | − | 7.02067i | 1.50913 | − | 1.09644i | 0.542562 | − | 0.840015i | \(-0.317454\pi\) |
0.966563 | − | 0.256428i | \(-0.0825458\pi\) | |||||||
\(42\) | 1.76336 | + | 0.572949i | 0.272092 | + | 0.0884080i | ||||
\(43\) | 6.23607i | 0.950991i | 0.879718 | + | 0.475496i | \(0.157731\pi\) | ||||
−0.879718 | + | 0.475496i | \(0.842269\pi\) | |||||||
\(44\) | 0.500000 | − | 5.34307i | 0.0753778 | − | 0.805498i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.663119 | + | 2.04087i | −0.0977716 | + | 0.300910i | ||||
\(47\) | 0.951057 | + | 1.30902i | 0.138726 | + | 0.190940i | 0.872727 | − | 0.488208i | \(-0.162349\pi\) |
−0.734001 | + | 0.679148i | \(0.762349\pi\) | |||||||
\(48\) | 1.08981 | − | 1.50000i | 0.157301 | − | 0.216506i | ||||
\(49\) | −0.618034 | − | 1.90211i | −0.0882906 | − | 0.271730i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | −1.30902 | − | 0.951057i | −0.183299 | − | 0.133175i | ||||
\(52\) | −1.67760 | − | 2.30902i | −0.232641 | − | 0.320203i | ||||
\(53\) | −9.14729 | − | 2.97214i | −1.25648 | − | 0.408254i | −0.396240 | − | 0.918147i | \(-0.629685\pi\) |
−0.860238 | + | 0.509893i | \(0.829685\pi\) | |||||||
\(54\) | 0.618034 | 0.0841038 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 6.70820 | 0.896421 | ||||||||
\(57\) | −5.56758 | − | 1.80902i | −0.737444 | − | 0.239610i | ||||
\(58\) | 1.62460 | + | 2.23607i | 0.213320 | + | 0.293610i | ||||
\(59\) | 8.35410 | + | 6.06961i | 1.08761 | + | 0.790196i | 0.978994 | − | 0.203888i | \(-0.0653577\pi\) |
0.108617 | + | 0.994084i | \(0.465358\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 2.42705 | + | 7.46969i | 0.310752 | + | 0.956396i | 0.977468 | + | 0.211084i | \(0.0676995\pi\) |
−0.666716 | + | 0.745312i | \(0.732301\pi\) | |||||||
\(62\) | 1.03681 | − | 1.42705i | 0.131675 | − | 0.181236i | ||||
\(63\) | −1.76336 | − | 2.42705i | −0.222162 | − | 0.305780i | ||||
\(64\) | 0.0729490 | − | 0.224514i | 0.00911863 | − | 0.0280642i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 1.35410 | − | 1.53884i | 0.166678 | − | 0.189418i | ||||
\(67\) | 9.56231i | 1.16822i | 0.811674 | + | 0.584111i | \(0.198557\pi\) | ||||
−0.811674 | + | 0.584111i | \(0.801443\pi\) | |||||||
\(68\) | −2.48990 | − | 0.809017i | −0.301945 | − | 0.0981077i | ||||
\(69\) | 2.80902 | − | 2.04087i | 0.338166 | − | 0.245692i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −1.71885 | − | 5.29007i | −0.203990 | − | 0.627815i | −0.999753 | − | 0.0222083i | \(-0.992930\pi\) |
0.795764 | − | 0.605607i | \(-0.207070\pi\) | |||||||
\(72\) | 2.12663 | − | 0.690983i | 0.250625 | − | 0.0814331i | ||||
\(73\) | −1.90211 | + | 2.61803i | −0.222625 | + | 0.306418i | −0.905690 | − | 0.423940i | \(-0.860647\pi\) |
0.683065 | + | 0.730358i | \(0.260647\pi\) | |||||||
\(74\) | −0.118034 | + | 0.0857567i | −0.0137212 | + | 0.00996902i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −9.47214 | −1.08653 | ||||||||
\(77\) | −9.90659 | − | 0.927051i | −1.12896 | − | 0.105647i | ||||
\(78\) | − | 1.09017i | − | 0.123437i | ||||||
\(79\) | −2.92705 | + | 9.00854i | −0.329319 | + | 1.01354i | 0.640134 | + | 0.768263i | \(0.278879\pi\) |
−0.969453 | + | 0.245276i | \(0.921121\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −0.809017 | − | 0.587785i | −0.0898908 | − | 0.0653095i | ||||
\(82\) | 7.02067 | − | 2.28115i | 0.775303 | − | 0.251911i | ||||
\(83\) | −0.673542 | + | 0.218847i | −0.0739308 | + | 0.0240216i | −0.345749 | − | 0.938327i | \(-0.612375\pi\) |
0.271818 | + | 0.962349i | \(0.412375\pi\) | |||||||
\(84\) | −3.92705 | − | 2.85317i | −0.428476 | − | 0.311306i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.19098 | + | 3.66547i | −0.128427 | + | 0.395258i | ||||
\(87\) | − | 4.47214i | − | 0.479463i | ||||||
\(88\) | 2.93893 | − | 6.80902i | 0.313291 | − | 0.725844i | ||||
\(89\) | −0.527864 | −0.0559535 | −0.0279767 | − | 0.999609i | \(-0.508906\pi\) | ||||
−0.0279767 | + | 0.999609i | \(0.508906\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −4.28115 | + | 3.11044i | −0.448787 | + | 0.326063i | ||||
\(92\) | 3.30220 | − | 4.54508i | 0.344278 | − | 0.473858i | ||||
\(93\) | −2.71441 | + | 0.881966i | −0.281471 | + | 0.0914556i | ||||
\(94\) | 0.309017 | + | 0.951057i | 0.0318727 | + | 0.0980940i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 4.54508 | − | 3.30220i | 0.463881 | − | 0.337029i | ||||
\(97\) | 13.3475 | + | 4.33688i | 1.35524 | + | 0.440344i | 0.894451 | − | 0.447167i | \(-0.147567\pi\) |
0.460788 | + | 0.887510i | \(0.347567\pi\) | |||||||
\(98\) | − | 1.23607i | − | 0.124862i | ||||||
\(99\) | −3.23607 | + | 0.726543i | −0.325237 | + | 0.0730203i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.927051 | + | 2.85317i | −0.0922450 | + | 0.283901i | −0.986526 | − | 0.163605i | \(-0.947688\pi\) |
0.894281 | + | 0.447506i | \(0.147688\pi\) | |||||||
\(102\) | −0.587785 | − | 0.809017i | −0.0581994 | − | 0.0801046i | ||||
\(103\) | −3.52671 | + | 4.85410i | −0.347497 | + | 0.478289i | −0.946612 | − | 0.322374i | \(-0.895519\pi\) |
0.599115 | + | 0.800663i | \(0.295519\pi\) | |||||||
\(104\) | −1.21885 | − | 3.75123i | −0.119518 | − | 0.367838i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.80902 | − | 3.49396i | −0.467093 | − | 0.339363i | ||||
\(107\) | −2.48990 | − | 3.42705i | −0.240708 | − | 0.331306i | 0.671522 | − | 0.740984i | \(-0.265641\pi\) |
−0.912230 | + | 0.409679i | \(0.865641\pi\) | |||||||
\(108\) | −1.53884 | − | 0.500000i | −0.148075 | − | 0.0481125i | ||||
\(109\) | 0 | 0 | − | 1.00000i | \(-0.5\pi\) | |||||
1.00000i | \(0.5\pi\) | |||||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 0.236068 | 0.0224066 | ||||||||
\(112\) | −5.29007 | − | 1.71885i | −0.499864 | − | 0.162416i | ||||
\(113\) | −0.416272 | − | 0.572949i | −0.0391596 | − | 0.0538985i | 0.788988 | − | 0.614408i | \(-0.210605\pi\) |
−0.828148 | + | 0.560510i | \(0.810605\pi\) | |||||||
\(114\) | −2.92705 | − | 2.12663i | −0.274143 | − | 0.199177i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −2.23607 | − | 6.88191i | −0.207614 | − | 0.638969i | ||||
\(117\) | −1.03681 | + | 1.42705i | −0.0958534 | + | 0.131931i | ||||
\(118\) | 3.75123 | + | 5.16312i | 0.345328 | + | 0.475304i | ||||
\(119\) | −1.50000 | + | 4.61653i | −0.137505 | + | 0.423196i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.28115 | + | 9.64932i | −0.480105 | + | 0.877211i | ||||
\(122\) | 4.85410i | 0.439470i | ||||||||
\(123\) | −11.3597 | − | 3.69098i | −1.02427 | − | 0.332805i | ||||
\(124\) | −3.73607 | + | 2.71441i | −0.335509 | + | 0.243761i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.572949 | − | 1.76336i | −0.0510424 | − | 0.157092i | ||||
\(127\) | −3.52671 | + | 1.14590i | −0.312945 | + | 0.101682i | −0.461279 | − | 0.887255i | \(-0.652609\pi\) |
0.148333 | + | 0.988937i | \(0.452609\pi\) | |||||||
\(128\) | 6.69015 | − | 9.20820i | 0.591331 | − | 0.813898i | ||||
\(129\) | 5.04508 | − | 3.66547i | 0.444195 | − | 0.322727i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | −7.14590 | −0.624340 | −0.312170 | − | 0.950026i | \(-0.601056\pi\) | ||||
−0.312170 | + | 0.950026i | \(0.601056\pi\) | |||||||
\(132\) | −4.61653 | + | 2.73607i | −0.401817 | + | 0.238144i | ||||
\(133\) | 17.5623i | 1.52285i | ||||||||
\(134\) | −1.82624 | + | 5.62058i | −0.157763 | + | 0.485544i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −2.92705 | − | 2.12663i | −0.250993 | − | 0.182357i | ||||
\(137\) | 7.10642 | − | 2.30902i | 0.607143 | − | 0.197273i | 0.0107192 | − | 0.999943i | \(-0.496588\pi\) |
0.596424 | + | 0.802670i | \(0.296588\pi\) | |||||||
\(138\) | 2.04087 | − | 0.663119i | 0.173730 | − | 0.0564484i | ||||
\(139\) | −0.690983 | − | 0.502029i | −0.0586084 | − | 0.0425815i | 0.558095 | − | 0.829777i | \(-0.311532\pi\) |
−0.616704 | + | 0.787195i | \(0.711532\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 0.500000 | − | 1.53884i | 0.0421076 | − | 0.129594i | ||||
\(142\) | − | 3.43769i | − | 0.288485i | ||||||
\(143\) | 1.28157 | + | 5.70820i | 0.107170 | + | 0.477344i | ||||
\(144\) | −1.85410 | −0.154508 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −1.61803 | + | 1.17557i | −0.133909 | + | 0.0972909i | ||||
\(147\) | −1.17557 | + | 1.61803i | −0.0969594 | + | 0.133453i | ||||
\(148\) | 0.363271 | − | 0.118034i | 0.0298607 | − | 0.00970233i | ||||
\(149\) | −4.63525 | − | 14.2658i | −0.379735 | − | 1.16870i | −0.940228 | − | 0.340545i | \(-0.889388\pi\) |
0.560493 | − | 0.828159i | \(-0.310612\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −1.61803 | + | 1.17557i | −0.131674 | + | 0.0956666i | −0.651673 | − | 0.758500i | \(-0.725932\pi\) |
0.519999 | + | 0.854167i | \(0.325932\pi\) | |||||||
\(152\) | −12.4495 | − | 4.04508i | −1.00979 | − | 0.328100i | ||||
\(153\) | 1.61803i | 0.130810i | ||||||||
\(154\) | −5.64590 | − | 2.43690i | −0.454959 | − | 0.196371i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −0.881966 | + | 2.71441i | −0.0706138 | + | 0.217327i | ||||
\(157\) | −2.17963 | − | 3.00000i | −0.173953 | − | 0.239426i | 0.713134 | − | 0.701028i | \(-0.247275\pi\) |
−0.887087 | + | 0.461601i | \(0.847275\pi\) | |||||||
\(158\) | −3.44095 | + | 4.73607i | −0.273748 | + | 0.376781i | ||||
\(159\) | 2.97214 | + | 9.14729i | 0.235706 | + | 0.725428i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | −8.42705 | − | 6.12261i | −0.664145 | − | 0.482529i | ||||
\(162\) | −0.363271 | − | 0.500000i | −0.0285413 | − | 0.0392837i | ||||
\(163\) | 17.3763 | + | 5.64590i | 1.36102 | + | 0.442221i | 0.896382 | − | 0.443282i | \(-0.146186\pi\) |
0.464634 | + | 0.885503i | \(0.346186\pi\) | |||||||
\(164\) | −19.3262 | −1.50913 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −0.437694 | −0.0339717 | ||||||||
\(167\) | −9.54332 | − | 3.10081i | −0.738484 | − | 0.239948i | −0.0844656 | − | 0.996426i | \(-0.526918\pi\) |
−0.654019 | + | 0.756478i | \(0.726918\pi\) | |||||||
\(168\) | −3.94298 | − | 5.42705i | −0.304208 | − | 0.418706i | ||||
\(169\) | −8.00000 | − | 5.81234i | −0.615385 | − | 0.447103i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 1.80902 | + | 5.56758i | 0.138339 | + | 0.425764i | ||||
\(172\) | 5.93085 | − | 8.16312i | 0.452223 | − | 0.622432i | ||||
\(173\) | −9.04129 | − | 12.4443i | −0.687397 | − | 0.946120i | 0.312596 | − | 0.949886i | \(-0.398801\pi\) |
−0.999993 | + | 0.00376565i | \(0.998801\pi\) | |||||||
\(174\) | 0.854102 | − | 2.62866i | 0.0647493 | − | 0.199278i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −4.06231 | + | 4.61653i | −0.306208 | + | 0.347984i | ||||
\(177\) | − | 10.3262i | − | 0.776168i | ||||||
\(178\) | −0.310271 | − | 0.100813i | −0.0232558 | − | 0.00755626i | ||||
\(179\) | −1.80902 | + | 1.31433i | −0.135212 | + | 0.0982375i | −0.653335 | − | 0.757069i | \(-0.726631\pi\) |
0.518123 | + | 0.855306i | \(0.326631\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −5.39919 | − | 16.6170i | −0.401318 | − | 1.23513i | −0.923930 | − | 0.382560i | \(-0.875042\pi\) |
0.522612 | − | 0.852571i | \(-0.324958\pi\) | |||||||
\(182\) | −3.11044 | + | 1.01064i | −0.230561 | + | 0.0749139i | ||||
\(183\) | 4.61653 | − | 6.35410i | 0.341263 | − | 0.469709i | ||||
\(184\) | 6.28115 | − | 4.56352i | 0.463053 | − | 0.336428i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −1.76393 | −0.129338 | ||||||||
\(187\) | 4.02874 | + | 3.54508i | 0.294611 | + | 0.259242i | ||||
\(188\) | − | 2.61803i | − | 0.190940i | ||||||
\(189\) | −0.927051 | + | 2.85317i | −0.0674330 | + | 0.207538i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 6.04508 | + | 4.39201i | 0.437407 | + | 0.317795i | 0.784604 | − | 0.619998i | \(-0.212866\pi\) |
−0.347197 | + | 0.937792i | \(0.612866\pi\) | |||||||
\(192\) | −0.224514 | + | 0.0729490i | −0.0162029 | + | 0.00526464i | ||||
\(193\) | 17.6538 | − | 5.73607i | 1.27075 | − | 0.412891i | 0.405436 | − | 0.914124i | \(-0.367120\pi\) |
0.865313 | + | 0.501232i | \(0.167120\pi\) | |||||||
\(194\) | 7.01722 | + | 5.09831i | 0.503807 | + | 0.366037i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.00000 | + | 3.07768i | −0.0714286 | + | 0.219835i | ||||
\(197\) | − | 24.3820i | − | 1.73714i | −0.495564 | − | 0.868572i | \(-0.665039\pi\) | ||
0.495564 | − | 0.868572i | \(-0.334961\pi\) | |||||||
\(198\) | −2.04087 | − | 0.190983i | −0.145038 | − | 0.0135726i | ||||
\(199\) | 16.7082 | 1.18441 | 0.592207 | − | 0.805786i | \(-0.298257\pi\) | ||||
0.592207 | + | 0.805786i | \(0.298257\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 7.73607 | − | 5.62058i | 0.545660 | − | 0.396445i | ||||
\(202\) | −1.08981 | + | 1.50000i | −0.0766790 | + | 0.105540i | ||||
\(203\) | −12.7598 | + | 4.14590i | −0.895560 | + | 0.290985i | ||||
\(204\) | 0.809017 | + | 2.48990i | 0.0566425 | + | 0.174328i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −3.00000 | + | 2.17963i | −0.209020 | + | 0.151862i | ||||
\(207\) | −3.30220 | − | 1.07295i | −0.229519 | − | 0.0745751i | ||||
\(208\) | 3.27051i | 0.226769i | ||||||||
\(209\) | 17.8262 | + | 7.69421i | 1.23307 | + | 0.532220i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −6.88197 | + | 21.1805i | −0.473774 | + | 1.45813i | 0.373830 | + | 0.927497i | \(0.378044\pi\) |
−0.847604 | + | 0.530629i | \(0.821956\pi\) | |||||||
\(212\) | 9.14729 | + | 12.5902i | 0.628239 | + | 0.864696i | ||||
\(213\) | −3.26944 | + | 4.50000i | −0.224018 | + | 0.308335i | ||||
\(214\) | −0.809017 | − | 2.48990i | −0.0553033 | − | 0.170206i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −1.80902 | − | 1.31433i | −0.123088 | − | 0.0894287i | ||||
\(217\) | 5.03280 | + | 6.92705i | 0.341649 | + | 0.470239i | ||||
\(218\) | 0 | 0 | ||||||||
\(219\) | 3.23607 | 0.218673 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 2.85410 | 0.191988 | ||||||||
\(222\) | 0.138757 | + | 0.0450850i | 0.00931278 | + | 0.00302591i | ||||
\(223\) | −0.416272 | − | 0.572949i | −0.0278756 | − | 0.0383675i | 0.794852 | − | 0.606804i | \(-0.207549\pi\) |
−0.822727 | + | 0.568436i | \(0.807549\pi\) | |||||||
\(224\) | −13.6353 | − | 9.90659i | −0.911044 | − | 0.661912i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −0.135255 | − | 0.416272i | −0.00899702 | − | 0.0276900i | ||||
\(227\) | 14.6291 | − | 20.1353i | 0.970969 | − | 1.33642i | 0.0294127 | − | 0.999567i | \(-0.490636\pi\) |
0.941556 | − | 0.336856i | \(-0.109364\pi\) | |||||||
\(228\) | 5.56758 | + | 7.66312i | 0.368722 | + | 0.507502i | ||||
\(229\) | −3.09017 | + | 9.51057i | −0.204204 | + | 0.628476i | 0.795541 | + | 0.605900i | \(0.207187\pi\) |
−0.999745 | + | 0.0225760i | \(0.992813\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 5.07295 | + | 8.55951i | 0.333776 | + | 0.563174i | ||||
\(232\) | − | 10.0000i | − | 0.656532i | ||||||
\(233\) | 23.1356 | + | 7.51722i | 1.51567 | + | 0.492470i | 0.944541 | − | 0.328394i | \(-0.106507\pi\) |
0.571124 | + | 0.820863i | \(0.306507\pi\) | |||||||
\(234\) | −0.881966 | + | 0.640786i | −0.0576559 | + | 0.0418895i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −5.16312 | − | 15.8904i | −0.336090 | − | 1.03438i | ||||
\(237\) | 9.00854 | − | 2.92705i | 0.585167 | − | 0.190132i | ||||
\(238\) | −1.76336 | + | 2.42705i | −0.114301 | + | 0.157322i | ||||
\(239\) | 2.07295 | − | 1.50609i | 0.134088 | − | 0.0974206i | −0.518719 | − | 0.854945i | \(-0.673591\pi\) |
0.652807 | + | 0.757524i | \(0.273591\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −23.1246 | −1.48959 | −0.744794 | − | 0.667295i | \(-0.767452\pi\) | ||||
−0.744794 | + | 0.667295i | \(0.767452\pi\) | |||||||
\(242\) | −4.94704 | + | 4.66312i | −0.318008 | + | 0.299757i | ||||
\(243\) | 1.00000i | 0.0641500i | ||||||||
\(244\) | 3.92705 | − | 12.0862i | 0.251404 | − | 0.773741i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −5.97214 | − | 4.33901i | −0.380769 | − | 0.276645i | ||||
\(247\) | 9.82084 | − | 3.19098i | 0.624885 | − | 0.203037i | ||||
\(248\) | −6.06961 | + | 1.97214i | −0.385421 | + | 0.125231i | ||||
\(249\) | 0.572949 | + | 0.416272i | 0.0363092 | + | 0.0263802i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −2.40983 | + | 7.41669i | −0.152107 | + | 0.468138i | −0.997856 | − | 0.0654431i | \(-0.979154\pi\) |
0.845749 | + | 0.533581i | \(0.179154\pi\) | |||||||
\(252\) | 4.85410i | 0.305780i | ||||||||
\(253\) | −9.90659 | + | 5.87132i | −0.622822 | + | 0.369127i | ||||
\(254\) | −2.29180 | −0.143800 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 5.30902 | − | 3.85723i | 0.331814 | − | 0.241077i | ||||
\(257\) | 6.86167 | − | 9.44427i | 0.428019 | − | 0.589117i | −0.539478 | − | 0.842000i | \(-0.681378\pi\) |
0.967497 | + | 0.252882i | \(0.0813785\pi\) | |||||||
\(258\) | 3.66547 | − | 1.19098i | 0.228202 | − | 0.0741474i | ||||
\(259\) | −0.218847 | − | 0.673542i | −0.0135985 | − | 0.0418519i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −3.61803 | + | 2.62866i | −0.223951 | + | 0.162710i | ||||
\(262\) | −4.20025 | − | 1.36475i | −0.259493 | − | 0.0843142i | ||||
\(263\) | − | 16.3262i | − | 1.00672i | −0.864077 | − | 0.503359i | \(-0.832097\pi\) | ||
0.864077 | − | 0.503359i | \(-0.167903\pi\) | |||||||
\(264\) | −7.23607 | + | 1.62460i | −0.445349 | + | 0.0999871i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −3.35410 | + | 10.3229i | −0.205653 | + | 0.632935i | ||||
\(267\) | 0.310271 | + | 0.427051i | 0.0189883 | + | 0.0261351i | ||||
\(268\) | 9.09429 | − | 12.5172i | 0.555522 | − | 0.764611i | ||||
\(269\) | −4.79837 | − | 14.7679i | −0.292562 | − | 0.900413i | −0.984029 | − | 0.178006i | \(-0.943035\pi\) |
0.691467 | − | 0.722408i | \(-0.256965\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 22.0623 | + | 16.0292i | 1.34019 | + | 0.973705i | 0.999437 | + | 0.0335518i | \(0.0106819\pi\) |
0.340753 | + | 0.940153i | \(0.389318\pi\) | |||||||
\(272\) | 1.76336 | + | 2.42705i | 0.106919 | + | 0.147162i | ||||
\(273\) | 5.03280 | + | 1.63525i | 0.304599 | + | 0.0989701i | ||||
\(274\) | 4.61803 | 0.278986 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −5.61803 | −0.338166 | ||||||||
\(277\) | −29.0665 | − | 9.44427i | −1.74644 | − | 0.567451i | −0.750779 | − | 0.660554i | \(-0.770322\pi\) |
−0.995657 | + | 0.0931022i | \(0.970322\pi\) | |||||||
\(278\) | −0.310271 | − | 0.427051i | −0.0186088 | − | 0.0256128i | ||||
\(279\) | 2.30902 | + | 1.67760i | 0.138237 | + | 0.100435i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.236068 | − | 0.726543i | −0.0140826 | − | 0.0433419i | 0.943768 | − | 0.330608i | \(-0.107254\pi\) |
−0.957851 | + | 0.287266i | \(0.907254\pi\) | |||||||
\(282\) | 0.587785 | − | 0.809017i | 0.0350021 | − | 0.0481763i | ||||
\(283\) | −0.106001 | − | 0.145898i | −0.00630111 | − | 0.00867274i | 0.805855 | − | 0.592113i | \(-0.201706\pi\) |
−0.812156 | + | 0.583440i | \(0.801706\pi\) | |||||||
\(284\) | −2.78115 | + | 8.55951i | −0.165031 | + | 0.507913i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −0.336881 | + | 3.59996i | −0.0199202 | + | 0.212870i | ||||
\(287\) | 35.8328i | 2.11514i | ||||||||
\(288\) | −5.34307 | − | 1.73607i | −0.314843 | − | 0.102299i | ||||
\(289\) | −11.6353 | + | 8.45351i | −0.684427 | + | 0.497265i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −4.33688 | − | 13.3475i | −0.254232 | − | 0.782447i | ||||
\(292\) | 4.97980 | − | 1.61803i | 0.291421 | − | 0.0946883i | ||||
\(293\) | 0.0327561 | − | 0.0450850i | 0.00191363 | − | 0.00263389i | −0.808059 | − | 0.589101i | \(-0.799482\pi\) |
0.809973 | + | 0.586468i | \(0.199482\pi\) | |||||||
\(294\) | −1.00000 | + | 0.726543i | −0.0583212 | + | 0.0423728i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 0.527864 | 0.0306815 | ||||||||
\(297\) | 2.48990 | + | 2.19098i | 0.144479 | + | 0.127134i | ||||
\(298\) | − | 9.27051i | − | 0.537026i | ||||||
\(299\) | −1.89261 | + | 5.82485i | −0.109452 | + | 0.336860i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −15.1353 | − | 10.9964i | −0.872382 | − | 0.633822i | ||||
\(302\) | −1.17557 | + | 0.381966i | −0.0676465 | + | 0.0219797i | ||||
\(303\) | 2.85317 | − | 0.927051i | 0.163910 | − | 0.0532577i | ||||
\(304\) | 8.78115 | + | 6.37988i | 0.503634 | + | 0.365911i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.309017 | + | 0.951057i | −0.0176653 | + | 0.0543683i | ||||
\(307\) | − | 0.562306i | − | 0.0320925i | −0.999871 | − | 0.0160462i | \(-0.994892\pi\) | ||
0.999871 | − | 0.0160462i | \(-0.00510790\pi\) | |||||||
\(308\) | 12.0862 | + | 10.6353i | 0.688676 | + | 0.606000i | ||||
\(309\) | 6.00000 | 0.341328 | ||||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −2.04508 | + | 1.48584i | −0.115966 | + | 0.0842543i | −0.644257 | − | 0.764809i | \(-0.722833\pi\) |
0.528291 | + | 0.849064i | \(0.322833\pi\) | |||||||
\(312\) | −2.31838 | + | 3.19098i | −0.131253 | + | 0.180654i | ||||
\(313\) | −24.5685 | + | 7.98278i | −1.38869 | + | 0.451213i | −0.905517 | − | 0.424310i | \(-0.860517\pi\) |
−0.483175 | + | 0.875524i | \(0.660517\pi\) | |||||||
\(314\) | −0.708204 | − | 2.17963i | −0.0399663 | − | 0.123004i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 12.3992 | − | 9.00854i | 0.697509 | − | 0.506770i | ||||
\(317\) | 18.4131 | + | 5.98278i | 1.03418 | + | 0.336026i | 0.776443 | − | 0.630188i | \(-0.217022\pi\) |
0.257740 | + | 0.966214i | \(0.417022\pi\) | |||||||
\(318\) | 5.94427i | 0.333338i | ||||||||
\(319\) | −1.38197 | + | 14.7679i | −0.0773752 | + | 0.826842i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −1.30902 | + | 4.02874i | −0.0730622 | + | 0.224862i | ||||
\(322\) | −3.78398 | − | 5.20820i | −0.210873 | − | 0.290242i | ||||
\(323\) | 5.56758 | − | 7.66312i | 0.309789 | − | 0.426387i | ||||
\(324\) | 0.500000 | + | 1.53884i | 0.0277778 | + | 0.0854912i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 9.13525 | + | 6.63715i | 0.505955 | + | 0.367598i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −25.4010 | − | 8.25329i | −1.40254 | − | 0.455712i | ||||
\(329\) | −4.85410 | −0.267615 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 26.5967 | 1.46189 | 0.730945 | − | 0.682437i | \(-0.239080\pi\) | ||||
0.730945 | + | 0.682437i | \(0.239080\pi\) | |||||||
\(332\) | 1.08981 | + | 0.354102i | 0.0598113 | + | 0.0194339i | ||||
\(333\) | −0.138757 | − | 0.190983i | −0.00760385 | − | 0.0104658i | ||||
\(334\) | −5.01722 | − | 3.64522i | −0.274530 | − | 0.199458i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 1.71885 | + | 5.29007i | 0.0937708 | + | 0.288597i | ||||
\(337\) | 0.171513 | − | 0.236068i | 0.00934293 | − | 0.0128594i | −0.804320 | − | 0.594196i | \(-0.797470\pi\) |
0.813663 | + | 0.581337i | \(0.197470\pi\) | |||||||
\(338\) | −3.59222 | − | 4.94427i | −0.195391 | − | 0.268933i | ||||
\(339\) | −0.218847 | + | 0.673542i | −0.0118861 | + | 0.0365818i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 9.23607 | − | 2.07363i | 0.500161 | − | 0.112293i | ||||
\(342\) | 3.61803i | 0.195641i | ||||||||
\(343\) | −14.2658 | − | 4.63525i | −0.770283 | − | 0.250280i | ||||
\(344\) | 11.2812 | − | 8.19624i | 0.608239 | − | 0.441912i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −2.93769 | − | 9.04129i | −0.157931 | − | 0.486063i | ||||
\(347\) | −19.9192 | + | 6.47214i | −1.06932 | + | 0.347442i | −0.790222 | − | 0.612821i | \(-0.790035\pi\) |
−0.279096 | + | 0.960263i | \(0.590035\pi\) | |||||||
\(348\) | −4.25325 | + | 5.85410i | −0.227998 | + | 0.313813i | ||||
\(349\) | −8.19098 | + | 5.95110i | −0.438453 | + | 0.318555i | −0.785020 | − | 0.619470i | \(-0.787347\pi\) |
0.346567 | + | 0.938025i | \(0.387347\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 1.76393 | 0.0941517 | ||||||||
\(352\) | −16.0292 | + | 9.50000i | −0.854359 | + | 0.506352i | ||||
\(353\) | − | 10.4721i | − | 0.557376i | −0.960382 | − | 0.278688i | \(-0.910101\pi\) | ||
0.960382 | − | 0.278688i | \(-0.0898995\pi\) | |||||||
\(354\) | 1.97214 | − | 6.06961i | 0.104818 | − | 0.322596i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 0.690983 | + | 0.502029i | 0.0366220 | + | 0.0266075i | ||||
\(357\) | 4.61653 | − | 1.50000i | 0.244332 | − | 0.0793884i | ||||
\(358\) | −1.31433 | + | 0.427051i | −0.0694644 | + | 0.0225703i | ||||
\(359\) | −10.3262 | − | 7.50245i | −0.544998 | − | 0.395964i | 0.280940 | − | 0.959725i | \(-0.409354\pi\) |
−0.825938 | + | 0.563761i | \(0.809354\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 4.71885 | − | 14.5231i | 0.248360 | − | 0.764375i | ||||
\(362\) | − | 10.7984i | − | 0.567550i | ||||||
\(363\) | 10.9106 | − | 1.39919i | 0.572661 | − | 0.0734383i | ||||
\(364\) | 8.56231 | 0.448787 | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 3.92705 | − | 2.85317i | 0.205270 | − | 0.149138i | ||||
\(367\) | −3.26944 | + | 4.50000i | −0.170663 | + | 0.234898i | −0.885778 | − | 0.464109i | \(-0.846375\pi\) |
0.715115 | + | 0.699007i | \(0.246375\pi\) | |||||||
\(368\) | −6.12261 | + | 1.98936i | −0.319163 | + | 0.103702i | ||||
\(369\) | 3.69098 | + | 11.3597i | 0.192145 | + | 0.591361i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 23.3435 | − | 16.9600i | 1.21193 | − | 0.880520i | ||||
\(372\) | 4.39201 | + | 1.42705i | 0.227715 | + | 0.0739891i | ||||
\(373\) | − | 4.41641i | − | 0.228673i | −0.993442 | − | 0.114336i | \(-0.963526\pi\) | ||
0.993442 | − | 0.114336i | \(-0.0364742\pi\) | |||||||
\(374\) | 1.69098 | + | 2.85317i | 0.0874386 | + | 0.147534i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 1.11803 | − | 3.44095i | 0.0576582 | − | 0.177454i | ||||
\(377\) | 4.63677 | + | 6.38197i | 0.238806 | + | 0.328688i | ||||
\(378\) | −1.08981 | + | 1.50000i | −0.0560540 | + | 0.0771517i | ||||
\(379\) | −0.489357 | − | 1.50609i | −0.0251366 | − | 0.0773624i | 0.937701 | − | 0.347443i | \(-0.112950\pi\) |
−0.962838 | + | 0.270080i | \(0.912950\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 3.00000 | + | 2.17963i | 0.153695 | + | 0.111666i | ||||
\(382\) | 2.71441 | + | 3.73607i | 0.138881 | + | 0.191154i | ||||
\(383\) | 25.5725 | + | 8.30902i | 1.30669 | + | 0.424571i | 0.877906 | − | 0.478834i | \(-0.158940\pi\) |
0.428789 | + | 0.903405i | \(0.358940\pi\) | |||||||
\(384\) | −11.3820 | −0.580834 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 11.4721 | 0.583916 | ||||||||
\(387\) | −5.93085 | − | 1.92705i | −0.301482 | − | 0.0979575i | ||||
\(388\) | −13.3475 | − | 18.3713i | −0.677619 | − | 0.932663i | ||||
\(389\) | 19.6353 | + | 14.2658i | 0.995547 | + | 0.723307i | 0.961129 | − | 0.276100i | \(-0.0890422\pi\) |
0.0344181 | + | 0.999408i | \(0.489042\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 1.73607 | + | 5.34307i | 0.0877967 | + | 0.270211i | ||||
\(392\) | −2.62866 | + | 3.61803i | −0.132767 | + | 0.182738i | ||||
\(393\) | 4.20025 | + | 5.78115i | 0.211875 | + | 0.291621i | ||||
\(394\) | 4.65654 | − | 14.3314i | 0.234593 | − | 0.722003i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 4.92705 | + | 2.12663i | 0.247594 | + | 0.106867i | ||||
\(397\) | 38.7082i | 1.94271i | 0.237635 | + | 0.971355i | \(0.423628\pi\) | ||||
−0.237635 | + | 0.971355i | \(0.576372\pi\) | |||||||
\(398\) | 9.82084 | + | 3.19098i | 0.492274 | + | 0.159950i | ||||
\(399\) | 14.2082 | − | 10.3229i | 0.711300 | − | 0.516790i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −8.06231 | − | 24.8132i | −0.402612 | − | 1.23911i | −0.922873 | − | 0.385106i | \(-0.874165\pi\) |
0.520260 | − | 0.854008i | \(-0.325835\pi\) | |||||||
\(402\) | 5.62058 | − | 1.82624i | 0.280329 | − | 0.0910845i | ||||
\(403\) | 2.95917 | − | 4.07295i | 0.147407 | − | 0.202888i | ||||
\(404\) | 3.92705 | − | 2.85317i | 0.195378 | − | 0.141950i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −8.29180 | −0.411515 | ||||||||
\(407\) | −0.779543 | − | 0.0729490i | −0.0386405 | − | 0.00361595i | ||||
\(408\) | 3.61803i | 0.179119i | ||||||||
\(409\) | 3.41641 | − | 10.5146i | 0.168930 | − | 0.519915i | −0.830374 | − | 0.557207i | \(-0.811873\pi\) |
0.999304 | + | 0.0372920i | \(0.0118732\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −6.04508 | − | 4.39201i | −0.298182 | − | 0.216642i | ||||
\(412\) | 9.23305 | − | 3.00000i | 0.454880 | − | 0.147799i | ||||
\(413\) | −29.4625 | + | 9.57295i | −1.44976 | + | 0.471054i | ||||
\(414\) | −1.73607 | − | 1.26133i | −0.0853231 | − | 0.0619909i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.06231 | + | 9.42481i | −0.150142 | + | 0.462089i | ||||
\(417\) | 0.854102i | 0.0418256i | ||||||||
\(418\) | 9.00854 | + | 7.92705i | 0.440622 | + | 0.387725i | ||||
\(419\) | −16.5066 | −0.806399 | −0.403200 | − | 0.915112i | \(-0.632102\pi\) | ||||
−0.403200 | + | 0.915112i | \(0.632102\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 30.1525 | − | 21.9071i | 1.46954 | − | 1.06768i | 0.488795 | − | 0.872398i | \(-0.337436\pi\) |
0.980746 | − | 0.195286i | \(-0.0625636\pi\) | |||||||
\(422\) | −8.09024 | + | 11.1353i | −0.393827 | + | 0.542056i | ||||
\(423\) | −1.53884 | + | 0.500000i | −0.0748210 | + | 0.0243108i | ||||
\(424\) | 6.64590 | + | 20.4540i | 0.322753 | + | 0.993333i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | −2.78115 | + | 2.02063i | −0.134747 | + | 0.0978996i | ||||
\(427\) | −22.4091 | − | 7.28115i | −1.08445 | − | 0.352360i | ||||
\(428\) | 6.85410i | 0.331306i | ||||||||
\(429\) | 3.86475 | − | 4.39201i | 0.186592 | − | 0.212048i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.2082 | + | 37.5730i | −0.588048 | + | 1.80983i | −0.00138127 | + | 0.999999i | \(0.500440\pi\) |
−0.586667 | + | 0.809828i | \(0.699560\pi\) | |||||||
\(432\) | 1.08981 | + | 1.50000i | 0.0524337 | + | 0.0721688i | ||||
\(433\) | −3.52671 | + | 4.85410i | −0.169483 | + | 0.233273i | −0.885307 | − | 0.465008i | \(-0.846051\pi\) |
0.715824 | + | 0.698281i | \(0.246051\pi\) | |||||||
\(434\) | 1.63525 | + | 5.03280i | 0.0784947 | + | 0.241582i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 0 | 0 | ||||||||
\(437\) | 11.9475 | + | 16.4443i | 0.571525 | + | 0.786636i | ||||
\(438\) | 1.90211 | + | 0.618034i | 0.0908865 | + | 0.0295308i | ||||
\(439\) | −3.29180 | −0.157109 | −0.0785544 | − | 0.996910i | \(-0.525030\pi\) | ||||
−0.0785544 | + | 0.996910i | \(0.525030\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 2.00000 | 0.0952381 | ||||||||
\(442\) | 1.67760 | + | 0.545085i | 0.0797952 | + | 0.0259270i | ||||
\(443\) | 24.1724 | + | 33.2705i | 1.14847 | + | 1.58073i | 0.746953 | + | 0.664877i | \(0.231516\pi\) |
0.401514 | + | 0.915853i | \(0.368484\pi\) | |||||||
\(444\) | −0.309017 | − | 0.224514i | −0.0146653 | − | 0.0106550i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −0.135255 | − | 0.416272i | −0.00640451 | − | 0.0197110i | ||||
\(447\) | −8.81678 | + | 12.1353i | −0.417019 | + | 0.573978i | ||||
\(448\) | 0.416272 | + | 0.572949i | 0.0196670 | + | 0.0270693i | ||||
\(449\) | 7.56231 | − | 23.2744i | 0.356887 | − | 1.09839i | −0.598020 | − | 0.801481i | \(-0.704046\pi\) |
0.954907 | − | 0.296905i | \(-0.0959544\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 36.3713 | + | 15.6987i | 1.71266 | + | 0.739222i | ||||
\(452\) | 1.14590i | 0.0538985i | ||||||||
\(453\) | 1.90211 | + | 0.618034i | 0.0893691 | + | 0.0290378i | ||||
\(454\) | 12.4443 | − | 9.04129i | 0.584039 | − | 0.424329i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 4.04508 | + | 12.4495i | 0.189428 | + | 0.583001i | ||||
\(457\) | 7.80021 | − | 2.53444i | 0.364878 | − | 0.118556i | −0.120839 | − | 0.992672i | \(-0.538558\pi\) |
0.485717 | + | 0.874116i | \(0.338558\pi\) | |||||||
\(458\) | −3.63271 | + | 5.00000i | −0.169746 | + | 0.233635i | ||||
\(459\) | 1.30902 | − | 0.951057i | 0.0610997 | − | 0.0443915i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −21.0902 | −0.982267 | −0.491134 | − | 0.871084i | \(-0.663417\pi\) | ||||
−0.491134 | + | 0.871084i | \(0.663417\pi\) | |||||||
\(462\) | 1.34708 | + | 6.00000i | 0.0626720 | + | 0.279145i | ||||
\(463\) | − | 15.7984i | − | 0.734213i | −0.930179 | − | 0.367106i | \(-0.880349\pi\) | ||
0.930179 | − | 0.367106i | \(-0.119651\pi\) | |||||||
\(464\) | −2.56231 | + | 7.88597i | −0.118952 | + | 0.366097i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 12.1631 | + | 8.83702i | 0.563446 | + | 0.409367i | ||||
\(467\) | −9.28605 | + | 3.01722i | −0.429707 | + | 0.139620i | −0.515882 | − | 0.856660i | \(-0.672536\pi\) |
0.0861747 | + | 0.996280i | \(0.472536\pi\) | |||||||
\(468\) | 2.71441 | − | 0.881966i | 0.125474 | − | 0.0407689i | ||||
\(469\) | −23.2082 | − | 16.8617i | −1.07166 | − | 0.778603i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.14590 | + | 3.52671i | −0.0528002 | + | 0.162502i | ||||
\(472\) | − | 23.0902i | − | 1.06281i | ||||||
\(473\) | −17.7926 | + | 10.5451i | −0.818103 | + | 0.484864i | ||||
\(474\) | 5.85410 | 0.268888 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 6.35410 | − | 4.61653i | 0.291240 | − | 0.211598i | ||||
\(477\) | 5.65334 | − | 7.78115i | 0.258849 | − | 0.356275i | ||||
\(478\) | 1.50609 | − | 0.489357i | 0.0688868 | − | 0.0223827i | ||||
\(479\) | 8.68034 | + | 26.7153i | 0.396615 | + | 1.22066i | 0.927697 | + | 0.373335i | \(0.121786\pi\) |
−0.531082 | + | 0.847320i | \(0.678214\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −0.336881 | + | 0.244758i | −0.0153605 | + | 0.0111600i | ||||
\(482\) | −13.5923 | − | 4.41641i | −0.619113 | − | 0.201162i | ||||
\(483\) | 10.4164i | 0.473963i | ||||||||
\(484\) | 16.0902 | − | 7.60845i | 0.731371 | − | 0.345839i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −0.190983 | + | 0.587785i | −0.00866317 | + | 0.0266625i | ||||
\(487\) | 9.88635 | + | 13.6074i | 0.447993 | + | 0.616610i | 0.971965 | − | 0.235126i | \(-0.0755503\pi\) |
−0.523972 | + | 0.851736i | \(0.675550\pi\) | |||||||
\(488\) | 10.3229 | − | 14.2082i | 0.467294 | − | 0.643175i | ||||
\(489\) | −5.64590 | − | 17.3763i | −0.255316 | − | 0.785783i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −20.3992 | − | 14.8209i | −0.920602 | − | 0.668857i | 0.0230715 | − | 0.999734i | \(-0.492655\pi\) |
−0.943674 | + | 0.330877i | \(0.892655\pi\) | |||||||
\(492\) | 11.3597 | + | 15.6353i | 0.512134 | + | 0.704892i | ||||
\(493\) | 6.88191 | + | 2.23607i | 0.309946 | + | 0.100707i | ||||
\(494\) | 6.38197 | 0.287138 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 5.29180 | 0.237609 | ||||||||
\(497\) | 15.8702 | + | 5.15654i | 0.711876 | + | 0.231302i | ||||
\(498\) | 0.257270 | + | 0.354102i | 0.0115286 | + | 0.0158677i | ||||
\(499\) | −14.2082 | − | 10.3229i | −0.636047 | − | 0.462115i | 0.222443 | − | 0.974946i | \(-0.428597\pi\) |
−0.858490 | + | 0.512831i | \(0.828597\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 3.10081 | + | 9.54332i | 0.138534 | + | 0.426364i | ||||
\(502\) | −2.83293 | + | 3.89919i | −0.126440 | + | 0.174029i | ||||
\(503\) | −16.4985 | − | 22.7082i | −0.735631 | − | 1.01251i | −0.998858 | − | 0.0477750i | \(-0.984787\pi\) |
0.263227 | − | 0.964734i | \(-0.415213\pi\) | |||||||
\(504\) | −2.07295 | + | 6.37988i | −0.0923365 | + | 0.284182i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −6.94427 | + | 1.55909i | −0.308711 | + | 0.0693098i | ||||
\(507\) | 9.88854i | 0.439166i | ||||||||
\(508\) | 5.70634 | + | 1.85410i | 0.253178 | + | 0.0822625i | ||||
\(509\) | 19.1074 | − | 13.8823i | 0.846920 | − | 0.615324i | −0.0773749 | − | 0.997002i | \(-0.524654\pi\) |
0.924295 | + | 0.381679i | \(0.124654\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −3.00000 | − | 9.23305i | −0.132712 | − | 0.408446i | ||||
\(512\) | −17.7926 | + | 5.78115i | −0.786327 | + | 0.255493i | ||||
\(513\) | 3.44095 | − | 4.73607i | 0.151922 | − | 0.209103i | ||||
\(514\) | 5.83688 | − | 4.24074i | 0.257454 | − | 0.187051i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | −10.0902 | −0.444195 | ||||||||
\(517\) | −2.12663 | + | 4.92705i | −0.0935289 | + | 0.216691i | ||||
\(518\) | − | 0.437694i | − | 0.0192312i | ||||||
\(519\) | −4.75329 | + | 14.6291i | −0.208646 | + | 0.642147i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 12.0000 | + | 8.71851i | 0.525730 | + | 0.381965i | 0.818758 | − | 0.574139i | \(-0.194663\pi\) |
−0.293028 | + | 0.956104i | \(0.594663\pi\) | |||||||
\(522\) | −2.62866 | + | 0.854102i | −0.115053 | + | 0.0373830i | ||||
\(523\) | 11.3924 | − | 3.70163i | 0.498156 | − | 0.161861i | −0.0491529 | − | 0.998791i | \(-0.515652\pi\) |
0.547309 | + | 0.836930i | \(0.315652\pi\) | |||||||
\(524\) | 9.35410 | + | 6.79615i | 0.408636 | + | 0.296891i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 3.11803 | − | 9.59632i | 0.135953 | − | 0.418420i | ||||
\(527\) | − | 4.61803i | − | 0.201165i | ||||||
\(528\) | 6.12261 | + | 0.572949i | 0.266452 | + | 0.0249344i | ||||
\(529\) | 10.9443 | 0.475838 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −8.35410 | + | 6.06961i | −0.362537 | + | 0.263399i | ||||
\(532\) | 16.7027 | − | 22.9894i | 0.724156 | − | 0.996715i | ||||
\(533\) | 20.0377 | − | 6.51064i | 0.867929 | − | 0.282007i | ||||
\(534\) | 0.100813 | + | 0.310271i | 0.00436261 | + | 0.0134267i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 17.2984 | − | 12.5680i | 0.747176 | − | 0.542855i | ||||
\(537\) | 2.12663 | + | 0.690983i | 0.0917707 | + | 0.0298181i | ||||
\(538\) | − | 9.59675i | − | 0.413745i | ||||||
\(539\) | 4.38197 | − | 4.97980i | 0.188745 | − | 0.214495i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 6.04508 | − | 18.6049i | 0.259899 | − | 0.799885i | −0.732926 | − | 0.680308i | \(-0.761846\pi\) |
0.992825 | − | 0.119577i | \(-0.0381540\pi\) | |||||||
\(542\) | 9.90659 | + | 13.6353i | 0.425525 | + | 0.585684i | ||||
\(543\) | −10.2699 | + | 14.1353i | −0.440722 | + | 0.606602i | ||||
\(544\) | 2.80902 | + | 8.64527i | 0.120436 | + | 0.370663i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 2.64590 | + | 1.92236i | 0.113234 | + | 0.0822693i | ||||
\(547\) | 12.7068 | + | 17.4894i | 0.543302 | + | 0.747791i | 0.989084 | − | 0.147350i | \(-0.0470745\pi\) |
−0.445782 | + | 0.895141i | \(0.647075\pi\) | |||||||
\(548\) | −11.4984 | − | 3.73607i | −0.491189 | − | 0.159597i | ||||
\(549\) | −7.85410 | −0.335205 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 26.1803 | 1.11532 | ||||||||
\(552\) | −7.38394 | − | 2.39919i | −0.314281 | − | 0.102116i | ||||
\(553\) | −16.7027 | − | 22.9894i | −0.710273 | − | 0.977607i | ||||
\(554\) | −15.2812 | − | 11.1024i | −0.649234 | − | 0.471696i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.427051 | + | 1.31433i | 0.0181110 | + | 0.0557399i | ||||
\(557\) | −8.76378 | + | 12.0623i | −0.371333 | + | 0.511096i | −0.953263 | − | 0.302143i | \(-0.902298\pi\) |
0.581929 | + | 0.813239i | \(0.302298\pi\) | |||||||
\(558\) | 1.03681 | + | 1.42705i | 0.0438918 | + | 0.0604119i | ||||
\(559\) | −3.39919 | + | 10.4616i | −0.143770 | + | 0.442479i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.500000 | − | 5.34307i | 0.0211100 | − | 0.225585i | ||||
\(562\) | − | 0.472136i | − | 0.0199159i | ||||||
\(563\) | −8.45351 | − | 2.74671i | −0.356273 | − | 0.115760i | 0.125412 | − | 0.992105i | \(-0.459975\pi\) |
−0.481684 | + | 0.876345i | \(0.659975\pi\) | |||||||
\(564\) | −2.11803 | + | 1.53884i | −0.0891853 | + | 0.0647969i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −0.0344419 | − | 0.106001i | −0.00144770 | − | 0.00445556i | ||||
\(567\) | 2.85317 | − | 0.927051i | 0.119822 | − | 0.0389325i | ||||
\(568\) | −7.31069 | + | 10.0623i | −0.306750 | + | 0.422205i | ||||
\(569\) | −19.4721 | + | 14.1473i | −0.816314 | + | 0.593087i | −0.915654 | − | 0.401966i | \(-0.868327\pi\) |
0.0993400 | + | 0.995054i | \(0.468327\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 34.6869 | 1.45160 | 0.725801 | − | 0.687905i | \(-0.241469\pi\) | ||||
0.725801 | + | 0.687905i | \(0.241469\pi\) | |||||||
\(572\) | 3.75123 | − | 8.69098i | 0.156847 | − | 0.363388i | ||||
\(573\) | − | 7.47214i | − | 0.312153i | ||||||
\(574\) | −6.84346 | + | 21.0620i | −0.285640 | + | 0.879111i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 0.190983 | + | 0.138757i | 0.00795763 | + | 0.00578155i | ||||
\(577\) | 10.2371 | − | 3.32624i | 0.426176 | − | 0.138473i | −0.0880726 | − | 0.996114i | \(-0.528071\pi\) |
0.514249 | + | 0.857641i | \(0.328071\pi\) | |||||||
\(578\) | −8.45351 | + | 2.74671i | −0.351620 | + | 0.114248i | ||||
\(579\) | −15.0172 | − | 10.9106i | −0.624094 | − | 0.453431i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 0.656541 | − | 2.02063i | 0.0272379 | − | 0.0838297i | ||||
\(582\) | − | 8.67376i | − | 0.359539i | ||||||
\(583\) | −6.98791 | − | 31.1246i | −0.289410 | − | 1.28905i | ||||
\(584\) | 7.23607 | 0.299431 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 0.0278640 | − | 0.0202444i | 0.00115105 | − | 0.000836289i | ||||
\(587\) | 22.5151 | − | 30.9894i | 0.929297 | − | 1.27907i | −0.0308361 | − | 0.999524i | \(-0.509817\pi\) |
0.960133 | − | 0.279543i | \(-0.0901830\pi\) | |||||||
\(588\) | 3.07768 | − | 1.00000i | 0.126922 | − | 0.0412393i | ||||
\(589\) | −5.16312 | − | 15.8904i | −0.212743 | − | 0.654754i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −19.7254 | + | 14.3314i | −0.811396 | + | 0.589513i | ||||
\(592\) | −0.416272 | − | 0.135255i | −0.0171087 | − | 0.00555894i | ||||
\(593\) | 22.2148i | 0.912252i | 0.889915 | + | 0.456126i | \(0.150763\pi\) | ||||
−0.889915 | + | 0.456126i | \(0.849237\pi\) | |||||||
\(594\) | 1.04508 | + | 1.76336i | 0.0428804 | + | 0.0723514i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −7.50000 | + | 23.0826i | −0.307212 | + | 0.945501i | ||||
\(597\) | −9.82084 | − | 13.5172i | −0.401940 | − | 0.553223i | ||||
\(598\) | −2.22490 | + | 3.06231i | −0.0909827 | + | 0.125227i | ||||
\(599\) | 2.56231 | + | 7.88597i | 0.104693 | + | 0.322212i | 0.989658 | − | 0.143445i | \(-0.0458181\pi\) |
−0.884965 | + | 0.465657i | \(0.845818\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −27.3713 | − | 19.8864i | −1.11650 | − | 0.811184i | −0.132825 | − | 0.991140i | \(-0.542405\pi\) |
−0.983675 | + | 0.179955i | \(0.942405\pi\) | |||||||
\(602\) | −6.79615 | − | 9.35410i | −0.276991 | − | 0.381245i | ||||
\(603\) | −9.09429 | − | 2.95492i | −0.370348 | − | 0.120333i | ||||
\(604\) | 3.23607 | 0.131674 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.85410 | 0.0753177 | ||||||||
\(607\) | −12.6740 | − | 4.11803i | −0.514422 | − | 0.167146i | 0.0402904 | − | 0.999188i | \(-0.487172\pi\) |
−0.554712 | + | 0.832042i | \(0.687172\pi\) | |||||||
\(608\) | 19.3314 | + | 26.6074i | 0.783992 | + | 1.07907i | ||||
\(609\) | 10.8541 | + | 7.88597i | 0.439830 | + | 0.319555i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 0.881966 | + | 2.71441i | 0.0356805 | + | 0.109813i | ||||
\(612\) | 1.53884 | − | 2.11803i | 0.0622040 | − | 0.0856164i | ||||
\(613\) | −20.3682 | − | 28.0344i | −0.822664 | − | 1.13230i | −0.989244 | − | 0.146272i | \(-0.953272\pi\) |
0.166580 | − | 0.986028i | \(-0.446728\pi\) | |||||||
\(614\) | 0.107391 | − | 0.330515i | 0.00433394 | − | 0.0133385i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 11.3435 | + | 19.1396i | 0.457041 | + | 0.771158i | ||||
\(617\) | − | 19.5836i | − | 0.788406i | −0.919023 | − | 0.394203i | \(-0.871021\pi\) | ||
0.919023 | − | 0.394203i | \(-0.128979\pi\) | |||||||
\(618\) | 3.52671 | + | 1.14590i | 0.141865 | + | 0.0460948i | ||||
\(619\) | −7.13525 | + | 5.18407i | −0.286790 | + | 0.208365i | −0.721874 | − | 0.692025i | \(-0.756719\pi\) |
0.435084 | + | 0.900390i | \(0.356719\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.07295 | + | 3.30220i | 0.0430560 | + | 0.132513i | ||||
\(622\) | −1.48584 | + | 0.482779i | −0.0595768 | + | 0.0193577i | ||||
\(623\) | 0.930812 | − | 1.28115i | 0.0372922 | − | 0.0513283i | ||||
\(624\) | 2.64590 | − | 1.92236i | 0.105921 | − | 0.0769559i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −15.9656 | −0.638112 | ||||||||
\(627\) | −4.25325 | − | 18.9443i | −0.169859 | − | 0.756561i | ||||
\(628\) | 6.00000i | 0.239426i | ||||||||
\(629\) | −0.118034 | + | 0.363271i | −0.00470632 | + | 0.0144846i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −37.4336 | − | 27.1971i | −1.49021 | − | 1.08270i | −0.974084 | − | 0.226187i | \(-0.927374\pi\) |
−0.516125 | − | 0.856513i | \(-0.672626\pi\) | |||||||
\(632\) | 20.1437 | − | 6.54508i | 0.801273 | − | 0.260350i | ||||
\(633\) | 21.1805 | − | 6.88197i | 0.841850 | − | 0.273534i | ||||
\(634\) | 9.68034 | + | 7.03318i | 0.384455 | + | 0.279323i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 4.80902 | − | 14.8006i | 0.190690 | − | 0.586883i | ||||
\(637\) | − | 3.52786i | − | 0.139779i | ||||||
\(638\) | −3.63271 | + | 8.41641i | −0.143820 | + | 0.333209i | ||||
\(639\) | 5.56231 | 0.220041 | ||||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −28.9164 | + | 21.0090i | −1.14213 | + | 0.829806i | −0.987415 | − | 0.158154i | \(-0.949446\pi\) |
−0.154715 | + | 0.987959i | \(0.549446\pi\) | |||||||
\(642\) | −1.53884 | + | 2.11803i | −0.0607332 | + | 0.0835921i | ||||
\(643\) | 36.6749 | − | 11.9164i | 1.44632 | − | 0.469937i | 0.522457 | − | 0.852666i | \(-0.325015\pi\) |
0.923861 | + | 0.382728i | \(0.125015\pi\) | |||||||
\(644\) | 5.20820 | + | 16.0292i | 0.205232 | + | 0.631639i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.73607 | − | 3.44095i | 0.186338 | − | 0.135383i | ||||
\(647\) | −26.4378 | − | 8.59017i | −1.03938 | − | 0.337714i | −0.260887 | − | 0.965369i | \(-0.584015\pi\) |
−0.778492 | + | 0.627655i | \(0.784015\pi\) | |||||||
\(648\) | 2.23607i | 0.0878410i | ||||||||
\(649\) | −3.19098 | + | 34.0993i | −0.125257 | + | 1.33851i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.64590 | − | 8.14324i | 0.103701 | − | 0.319159i | ||||
\(652\) | −17.3763 | − | 23.9164i | −0.680508 | − | 0.936639i | ||||
\(653\) | 29.9973 | − | 41.2877i | 1.17388 | − | 1.61571i | 0.543632 | − | 0.839323i | \(-0.317049\pi\) |
0.630252 | − | 0.776390i | \(-0.282951\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 17.9164 | + | 13.0170i | 0.699518 | + | 0.508230i | ||||
\(657\) | −1.90211 | − | 2.61803i | −0.0742085 | − | 0.102139i | ||||
\(658\) | −2.85317 | − | 0.927051i | −0.111228 | − | 0.0361402i | ||||
\(659\) | 10.6525 | 0.414962 | 0.207481 | − | 0.978239i | \(-0.433474\pi\) | ||||
0.207481 | + | 0.978239i | \(0.433474\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −9.90983 | −0.385448 | −0.192724 | − | 0.981253i | \(-0.561732\pi\) | ||||
−0.192724 | + | 0.981253i | \(0.561732\pi\) | |||||||
\(662\) | 15.6332 | + | 5.07953i | 0.607601 | + | 0.197421i | ||||
\(663\) | −1.67760 | − | 2.30902i | −0.0651525 | − | 0.0896748i | ||||
\(664\) | 1.28115 | + | 0.930812i | 0.0497184 | + | 0.0361225i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −0.0450850 | − | 0.138757i | −0.00174701 | − | 0.00537674i | ||||
\(667\) | −9.12705 | + | 12.5623i | −0.353401 | + | 0.486414i | ||||
\(668\) | 9.54332 | + | 13.1353i | 0.369242 | + | 0.508218i | ||||
\(669\) | −0.218847 | + | 0.673542i | −0.00846112 | + | 0.0260406i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −17.2082 | + | 19.5559i | −0.664315 | + | 0.754948i | ||||
\(672\) | 16.8541i | 0.650161i | ||||||||
\(673\) | 11.8087 | + | 3.83688i | 0.455192 | + | 0.147901i | 0.527634 | − | 0.849472i | \(-0.323079\pi\) |
−0.0724420 | + | 0.997373i | \(0.523079\pi\) | |||||||
\(674\) | 0.145898 | − | 0.106001i | 0.00561978 | − | 0.00408301i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 4.94427 | + | 15.2169i | 0.190164 | + | 0.585266i | ||||
\(677\) | 12.8658 | − | 4.18034i | 0.494471 | − | 0.160664i | −0.0511572 | − | 0.998691i | \(-0.516291\pi\) |
0.545629 | + | 0.838027i | \(0.316291\pi\) | |||||||
\(678\) | −0.257270 | + | 0.354102i | −0.00988040 | + | 0.0135992i | ||||
\(679\) | −34.0623 | + | 24.7477i | −1.30719 | + | 0.949730i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −24.8885 | −0.953731 | ||||||||
\(682\) | 5.82485 | + | 0.545085i | 0.223045 | + | 0.0208724i | ||||
\(683\) | − | 3.11146i | − | 0.119057i | −0.998227 | − | 0.0595283i | \(-0.981040\pi\) | ||
0.998227 | − | 0.0595283i | \(-0.0189596\pi\) | |||||||
\(684\) | 2.92705 | − | 9.00854i | 0.111919 | − | 0.344450i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −7.50000 | − | 5.44907i | −0.286351 | − | 0.208046i | ||||
\(687\) | 9.51057 | − | 3.09017i | 0.362851 | − | 0.117897i | ||||
\(688\) | −10.9964 | + | 3.57295i | −0.419234 | + | 0.136217i | ||||
\(689\) | −13.7254 | − | 9.97210i | −0.522897 | − | 0.379907i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −8.12461 | + | 25.0050i | −0.309075 | + | 0.951234i | 0.669050 | + | 0.743217i | \(0.266701\pi\) |
−0.978125 | + | 0.208017i | \(0.933299\pi\) | |||||||
\(692\) | 24.8885i | 0.946120i | ||||||||
\(693\) | 3.94298 | − | 9.13525i | 0.149782 | − | 0.347020i | ||||
\(694\) | −12.9443 | −0.491358 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −8.09017 | + | 5.87785i | −0.306657 | + | 0.222799i | ||||
\(697\) | 11.3597 | − | 15.6353i | 0.430278 | − | 0.592228i | ||||
\(698\) | −5.95110 | + | 1.93363i | −0.225252 | + | 0.0731889i | ||||
\(699\) | −7.51722 | − | 23.1356i | −0.284327 | − | 0.875070i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 8.64590 | − | 6.28161i | 0.326551 | − | 0.237253i | −0.412415 | − | 0.910996i | \(-0.635315\pi\) |
0.738966 | + | 0.673743i | \(0.235315\pi\) | |||||||
\(702\) | 1.03681 | + | 0.336881i | 0.0391320 | + | 0.0127148i | ||||
\(703\) | 1.38197i | 0.0521218i | ||||||||
\(704\) | 0.763932 | − | 0.171513i | 0.0287918 | − | 0.00646416i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | 2.00000 | − | 6.15537i | 0.0752710 | − | 0.231660i | ||||
\(707\) | −5.29007 | − | 7.28115i | −0.198953 | − | 0.273836i | ||||
\(708\) | −9.82084 | + | 13.5172i | −0.369090 | + | 0.508008i | ||||
\(709\) | −15.0623 | − | 46.3570i | −0.565677 | − | 1.74097i | −0.665932 | − | 0.746012i | \(-0.731966\pi\) |
0.100255 | − | 0.994962i | \(-0.468034\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −7.66312 | − | 5.56758i | −0.287389 | − | 0.208801i | ||||
\(712\) | 0.693786 | + | 0.954915i | 0.0260007 | + | 0.0357870i | ||||
\(713\) | 9.42481 | + | 3.06231i | 0.352962 | + | 0.114684i | ||||
\(714\) | 3.00000 | 0.112272 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 3.61803 | 0.135212 | ||||||||
\(717\) | −2.43690 | − | 0.791796i | −0.0910076 | − | 0.0295702i | ||||
\(718\) | −4.63677 | − | 6.38197i | −0.173043 | − | 0.238173i | ||||
\(719\) | −1.28115 | − | 0.930812i | −0.0477789 | − | 0.0347134i | 0.563639 | − | 0.826021i | \(-0.309401\pi\) |
−0.611418 | + | 0.791307i | \(0.709401\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −5.56231 | − | 17.1190i | −0.207151 | − | 0.637546i | ||||
\(722\) | 5.54734 | − | 7.63525i | 0.206451 | − | 0.284155i | ||||
\(723\) | 13.5923 | + | 18.7082i | 0.505503 | + | 0.695766i | ||||
\(724\) | −8.73607 | + | 26.8869i | −0.324673 | + | 0.999242i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 6.68034 | + | 1.26133i | 0.247931 | + | 0.0468122i | ||||
\(727\) | − | 38.8541i | − | 1.44102i | −0.693445 | − | 0.720509i | \(-0.743908\pi\) | ||
0.693445 | − | 0.720509i | \(-0.256092\pi\) | |||||||
\(728\) | 11.2537 | + | 3.65654i | 0.417089 | + | 0.135520i | ||||
\(729\) | 0.809017 | − | 0.587785i | 0.0299636 | − | 0.0217698i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | 3.11803 | + | 9.59632i | 0.115325 | + | 0.354933i | ||||
\(732\) | −12.0862 | + | 3.92705i | −0.446720 | + | 0.145148i | ||||
\(733\) | −22.1643 | + | 30.5066i | −0.818658 | + | 1.12679i | 0.171271 | + | 0.985224i | \(0.445213\pi\) |
−0.989929 | + | 0.141562i | \(0.954787\pi\) | |||||||
\(734\) | −2.78115 | + | 2.02063i | −0.102654 | + | 0.0745827i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −19.5066 | −0.719022 | ||||||||
\(737\) | −27.2829 | + | 16.1697i | −1.00498 | + | 0.595618i | ||||
\(738\) | 7.38197i | 0.271734i | ||||||||
\(739\) | 7.72542 | − | 23.7764i | 0.284184 | − | 0.874629i | −0.702458 | − | 0.711726i | \(-0.747914\pi\) |
0.986642 | − | 0.162904i | \(-0.0520860\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −8.35410 | − | 6.06961i | −0.306896 | − | 0.222973i | ||||
\(742\) | 16.9600 | − | 5.51064i | 0.622622 | − | 0.202302i | ||||
\(743\) | −33.4585 | + | 10.8713i | −1.22747 | + | 0.398830i | −0.849798 | − | 0.527108i | \(-0.823276\pi\) |
−0.377675 | + | 0.925938i | \(0.623276\pi\) | |||||||
\(744\) | 5.16312 | + | 3.75123i | 0.189289 | + | 0.137527i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 0.843459 | − | 2.59590i | 0.0308812 | − | 0.0950426i | ||||
\(747\) | − | 0.708204i | − | 0.0259118i | ||||||
\(748\) | −1.90211 | − | 8.47214i | −0.0695481 | − | 0.309772i | ||||
\(749\) | 12.7082 | 0.464348 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −9.64590 | + | 7.00816i | −0.351984 | + | 0.255731i | −0.749701 | − | 0.661777i | \(-0.769803\pi\) |
0.397717 | + | 0.917508i | \(0.369803\pi\) | |||||||
\(752\) | −1.76336 | + | 2.42705i | −0.0643030 | + | 0.0885054i | ||||
\(753\) | 7.41669 | − | 2.40983i | 0.270279 | − | 0.0878191i | ||||
\(754\) | 1.50658 | + | 4.63677i | 0.0548663 | + | 0.168861i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 3.92705 | − | 2.85317i | 0.142825 | − | 0.103769i | ||||
\(757\) | −1.84911 | − | 0.600813i | −0.0672071 | − | 0.0218369i | 0.275220 | − | 0.961381i | \(-0.411249\pi\) |
−0.342428 | + | 0.939544i | \(0.611249\pi\) | |||||||
\(758\) | − | 0.978714i | − | 0.0355485i | ||||||
\(759\) | 10.5729 | + | 4.56352i | 0.383774 | + | 0.165645i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −9.54508 | + | 29.3768i | −0.346009 | + | 1.06491i | 0.615032 | + | 0.788502i | \(0.289143\pi\) |
−0.961041 | + | 0.276404i | \(0.910857\pi\) | |||||||
\(762\) | 1.34708 | + | 1.85410i | 0.0487997 | + | 0.0671670i | ||||
\(763\) | 0 | 0 | ||||||||
\(764\) | −3.73607 | − | 11.4984i | −0.135166 | − | 0.415999i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 13.4443 | + | 9.76784i | 0.485761 | + | 0.352926i | ||||
\(767\) | 10.7064 | + | 14.7361i | 0.386585 | + | 0.532089i | ||||
\(768\) | −6.24112 | − | 2.02786i | −0.225207 | − | 0.0731742i | ||||
\(769\) | −12.6869 | −0.457502 | −0.228751 | − | 0.973485i | \(-0.573464\pi\) | ||||
−0.228751 | + | 0.973485i | \(0.573464\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −11.6738 | −0.420420 | ||||||||
\(772\) | −28.5645 | − | 9.28115i | −1.02806 | − | 0.334036i | ||||
\(773\) | 18.3678 | + | 25.2812i | 0.660645 | + | 0.909300i | 0.999503 | − | 0.0315378i | \(-0.0100405\pi\) |
−0.338858 | + | 0.940838i | \(0.610040\pi\) | |||||||
\(774\) | −3.11803 | − | 2.26538i | −0.112075 | − | 0.0814276i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −9.69756 | − | 29.8460i | −0.348122 | − | 1.07141i | ||||
\(777\) | −0.416272 | + | 0.572949i | −0.0149337 | + | 0.0205544i | ||||
\(778\) | 8.81678 | + | 12.1353i | 0.316097 | + | 0.435070i | ||||
\(779\) | 21.6074 | − | 66.5007i | 0.774165 | − | 2.38264i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 12.1869 | − | 13.8496i | 0.436082 | − | 0.495577i | ||||
\(782\) | 3.47214i | 0.124163i | ||||||||
\(783\) | 4.25325 | + | 1.38197i | 0.151999 | + | 0.0493874i | ||||
\(784\) | 3.00000 | − | 2.17963i | 0.107143 | − | 0.0778438i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 1.36475 | + | 4.20025i | 0.0486788 | + | 0.149818i | ||||
\(787\) | −9.78808 | + | 3.18034i | −0.348907 | + | 0.113367i | −0.478227 | − | 0.878236i | \(-0.658721\pi\) |
0.129320 | + | 0.991603i | \(0.458721\pi\) | |||||||
\(788\) | −23.1886 | + | 31.9164i | −0.826061 | + | 1.13697i | ||||
\(789\) | −13.2082 | + | 9.59632i | −0.470225 | + | 0.341638i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 2.12461 | 0.0755425 | ||||||||
\(792\) | 5.56758 | + | 4.89919i | 0.197835 | + | 0.174085i | ||||
\(793\) | 13.8541i | 0.491974i | ||||||||
\(794\) | −7.39261 | + | 22.7521i | −0.262354 | + | 0.807442i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −21.8713 | − | 15.8904i | −0.775208 | − | 0.563222i | ||||
\(797\) | 10.2371 | − | 3.32624i | 0.362617 | − | 0.117821i | −0.122041 | − | 0.992525i | \(-0.538944\pi\) |
0.484658 | + | 0.874704i | \(0.338944\pi\) | |||||||
\(798\) | 10.3229 | − | 3.35410i | 0.365425 | − | 0.118734i | ||||
\(799\) | 2.11803 | + | 1.53884i | 0.0749307 | + | 0.0544403i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 0.163119 | − | 0.502029i | 0.00576353 | − | 0.0177383i | ||||
\(802\) | − | 16.1246i | − | 0.569380i | ||||||
\(803\) | −10.6861 | − | 1.00000i | −0.377106 | − | 0.0352892i | ||||
\(804\) | −15.4721 | −0.545660 | ||||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 2.51722 | − | 1.82887i | 0.0886653 | − | 0.0644191i | ||||
\(807\) | −9.12705 | + | 12.5623i | −0.321287 | + | 0.442214i | ||||
\(808\) | 6.37988 | − | 2.07295i | 0.224443 | − | 0.0729261i | ||||
\(809\) | −2.98936 | − | 9.20029i | −0.105100 | − | 0.323465i | 0.884654 | − | 0.466249i | \(-0.154395\pi\) |
−0.989754 | + | 0.142783i | \(0.954395\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.63525 | + | 1.91462i | −0.0925363 | + | 0.0672316i | −0.633091 | − | 0.774077i | \(-0.718214\pi\) |
0.540555 | + | 0.841309i | \(0.318214\pi\) | |||||||
\(812\) | 20.6457 | + | 6.70820i | 0.724523 | + | 0.235412i | ||||
\(813\) | − | 27.2705i | − | 0.956419i | ||||||
\(814\) | −0.444272 | − | 0.191758i | −0.0155717 | − | 0.00672111i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 0.927051 | − | 2.85317i | 0.0324533 | − | 0.0998809i | ||||
\(817\) | 21.4580 | + | 29.5344i | 0.750721 | + | 1.03328i | ||||
\(818\) | 4.01623 | − | 5.52786i | 0.140424 | − | 0.193277i | ||||
\(819\) | −1.63525 | − | 5.03280i | −0.0571404 | − | 0.175860i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −32.6976 | − | 23.7562i | −1.14115 | − | 0.829096i | −0.153873 | − | 0.988091i | \(-0.549175\pi\) |
−0.987279 | + | 0.158995i | \(0.949175\pi\) | |||||||
\(822\) | −2.71441 | − | 3.73607i | −0.0946760 | − | 0.130310i | ||||
\(823\) | −33.7360 | − | 10.9615i | −1.17596 | − | 0.382094i | −0.345098 | − | 0.938567i | \(-0.612154\pi\) |
−0.830866 | + | 0.556473i | \(0.812154\pi\) | |||||||
\(824\) | 13.4164 | 0.467383 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −19.1459 | −0.666171 | ||||||||
\(827\) | −50.5245 | − | 16.4164i | −1.75691 | − | 0.570854i | −0.760037 | − | 0.649880i | \(-0.774819\pi\) |
−0.996873 | + | 0.0790257i | \(0.974819\pi\) | |||||||
\(828\) | 3.30220 | + | 4.54508i | 0.114759 | + | 0.157953i | ||||
\(829\) | 14.3090 | + | 10.3961i | 0.496973 | + | 0.361072i | 0.807859 | − | 0.589375i | \(-0.200626\pi\) |
−0.310887 | + | 0.950447i | \(0.600626\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 9.44427 | + | 29.0665i | 0.327618 | + | 1.00831i | ||||
\(832\) | 0.244758 | − | 0.336881i | 0.00848547 | − | 0.0116792i | ||||
\(833\) | −1.90211 | − | 2.61803i | −0.0659043 | − | 0.0907095i | ||||
\(834\) | −0.163119 | + | 0.502029i | −0.00564835 | + | 0.0173838i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −16.0172 | − | 27.0256i | −0.553967 | − | 0.934700i | ||||
\(837\) | − | 2.85410i | − | 0.0986522i | ||||||
\(838\) | −9.70232 | − | 3.15248i | −0.335161 | − | 0.108900i | ||||
\(839\) | −29.6976 | + | 21.5765i | −1.02527 | + | 0.744905i | −0.967357 | − | 0.253417i | \(-0.918446\pi\) |
−0.0579164 | + | 0.998321i | \(0.518446\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −2.78115 | − | 8.55951i | −0.0959018 | − | 0.295155i | ||||
\(842\) | 21.9071 | − | 7.11803i | 0.754967 | − | 0.245304i | ||||
\(843\) | −0.449028 | + | 0.618034i | −0.0154653 | + | 0.0212862i | ||||
\(844\) | 29.1525 | − | 21.1805i | 1.00347 | − | 0.729063i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −1.00000 | −0.0343807 | ||||||||
\(847\) | −14.1068 | − | 29.8328i | −0.484717 | − | 1.02507i | ||||
\(848\) | − | 17.8328i | − | 0.612381i | ||||||
\(849\) | −0.0557281 | + | 0.171513i | −0.00191258 | + | 0.00588633i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −0.663119 | − | 0.481784i | −0.0227314 | − | 0.0165153i | ||||
\(852\) | 8.55951 | − | 2.78115i | 0.293244 | − | 0.0952807i | ||||
\(853\) | 9.45756 | − | 3.07295i | 0.323821 | − | 0.105216i | −0.142596 | − | 0.989781i | \(-0.545545\pi\) |
0.466416 | + | 0.884565i | \(0.345545\pi\) | |||||||
\(854\) | −11.7812 | − | 8.55951i | −0.403143 | − | 0.292900i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −2.92705 | + | 9.00854i | −0.100045 | + | 0.307905i | ||||
\(857\) | − | 47.7214i | − | 1.63013i | −0.579369 | − | 0.815065i | \(-0.696701\pi\) | ||
0.579369 | − | 0.815065i | \(-0.303299\pi\) | |||||||
\(858\) | 3.11044 | − | 1.84346i | 0.106189 | − | 0.0629346i | ||||
\(859\) | −7.11146 | −0.242640 | −0.121320 | − | 0.992613i | \(-0.538713\pi\) | ||||
−0.121320 | + | 0.992613i | \(0.538713\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 28.9894 | − | 21.0620i | 0.987955 | − | 0.717791i | ||||
\(862\) | −14.3516 | + | 19.7533i | −0.488818 | + | 0.672800i | ||||
\(863\) | −11.3067 | + | 3.67376i | −0.384884 | + | 0.125056i | −0.495067 | − | 0.868855i | \(-0.664856\pi\) |
0.110183 | + | 0.993911i | \(0.464856\pi\) | |||||||
\(864\) | 1.73607 | + | 5.34307i | 0.0590622 | + | 0.181775i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −3.00000 | + | 2.17963i | −0.101944 | + | 0.0740668i | ||||
\(867\) | 13.6781 | + | 4.44427i | 0.464531 | + | 0.150935i | ||||
\(868\) | − | 13.8541i | − | 0.470239i | ||||||
\(869\) | −30.6525 | + | 6.88191i | −1.03981 | + | 0.233453i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −5.21227 | + | 16.0417i | −0.176611 | + | 0.543553i | ||||
\(872\) | 0 | 0 | ||||||||
\(873\) | −8.24924 | + | 11.3541i | −0.279194 | + | 0.384278i | ||||
\(874\) | 3.88197 | + | 11.9475i | 0.131309 | + | 0.404129i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −4.23607 | − | 3.07768i | −0.143123 | − | 0.103985i | ||||
\(877\) | 3.77147 | + | 5.19098i | 0.127353 | + | 0.175287i | 0.867932 | − | 0.496682i | \(-0.165449\pi\) |
−0.740579 | + | 0.671969i | \(0.765449\pi\) | |||||||
\(878\) | −1.93487 | − | 0.628677i | −0.0652987 | − | 0.0212168i | ||||
\(879\) | −0.0557281 | −0.00187966 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 13.9098 | 0.468634 | 0.234317 | − | 0.972160i | \(-0.424715\pi\) | ||||
0.234317 | + | 0.972160i | \(0.424715\pi\) | |||||||
\(882\) | 1.17557 | + | 0.381966i | 0.0395835 | + | 0.0128615i | ||||
\(883\) | −6.22088 | − | 8.56231i | −0.209349 | − | 0.288145i | 0.691411 | − | 0.722462i | \(-0.256990\pi\) |
−0.900760 | + | 0.434318i | \(0.856990\pi\) | |||||||
\(884\) | −3.73607 | − | 2.71441i | −0.125658 | − | 0.0912956i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 7.85410 | + | 24.1724i | 0.263864 | + | 0.812089i | ||||
\(887\) | −1.76336 | + | 2.42705i | −0.0592077 | + | 0.0814924i | −0.837594 | − | 0.546293i | \(-0.816038\pi\) |
0.778386 | + | 0.627785i | \(0.216038\pi\) | |||||||
\(888\) | −0.310271 | − | 0.427051i | −0.0104120 | − | 0.0143309i | ||||
\(889\) | 3.43769 | − | 10.5801i | 0.115297 | − | 0.354846i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.309017 | − | 3.30220i | 0.0103525 | − | 0.110628i | ||||
\(892\) | 1.14590i | 0.0383675i | ||||||||
\(893\) | 9.00854 | + | 2.92705i | 0.301459 | + | 0.0979500i | ||||
\(894\) | −7.50000 | + | 5.44907i | −0.250838 | + | 0.182244i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 10.5517 | + | 32.4747i | 0.352506 | + | 1.08490i | ||||
\(897\) | 5.82485 | − | 1.89261i | 0.194486 | − | 0.0631924i | ||||
\(898\) | 8.89002 | − | 12.2361i | 0.296664 | − | 0.408323i | ||||
\(899\) | 10.3262 | − | 7.50245i | 0.344399 | − | 0.250221i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −15.5623 | −0.518456 | ||||||||
\(902\) | 18.3803 | + | 16.1738i | 0.611999 | + | 0.538527i | ||||
\(903\) | 18.7082i | 0.622570i | ||||||||
\(904\) | −0.489357 | + | 1.50609i | −0.0162758 | + | 0.0500917i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 1.00000 | + | 0.726543i | 0.0332228 | + | 0.0241378i | ||||
\(907\) | −40.8752 | + | 13.2812i | −1.35724 | + | 0.440993i | −0.895120 | − | 0.445825i | \(-0.852910\pi\) |
−0.462118 | + | 0.886818i | \(0.652910\pi\) | |||||||
\(908\) | −38.2995 | + | 12.4443i | −1.27101 | + | 0.412978i | ||||
\(909\) | −2.42705 | − | 1.76336i | −0.0805002 | − | 0.0584868i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 5.57953 | − | 17.1720i | 0.184858 | − | 0.568934i | −0.815088 | − | 0.579337i | \(-0.803311\pi\) |
0.999946 | + | 0.0104029i | \(0.00331142\pi\) | |||||||
\(912\) | − | 10.8541i | − | 0.359415i | ||||||
\(913\) | −1.76336 | − | 1.55166i | −0.0583586 | − | 0.0513525i | ||||
\(914\) | 5.06888 | 0.167664 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 13.0902 | − | 9.51057i | 0.432511 | − | 0.314238i | ||||
\(917\) | 12.6008 | − | 17.3435i | 0.416114 | − | 0.572731i | ||||
\(918\) | 0.951057 | − | 0.309017i | 0.0313895 | − | 0.0101991i | ||||
\(919\) | −14.5106 | − | 44.6592i | −0.478662 | − | 1.47317i | −0.840955 | − | 0.541106i | \(-0.818006\pi\) |
0.362293 | − | 0.932064i | \(-0.381994\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −0.454915 | + | 0.330515i | −0.0149900 | + | 0.0108908i | ||||
\(922\) | −12.3965 | − | 4.02786i | −0.408257 | − | 0.132651i | ||||
\(923\) | − | 9.81153i | − | 0.322950i | ||||||
\(924\) | 1.50000 | − | 16.0292i | 0.0493464 | − | 0.527322i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 3.01722 | − | 9.28605i | 0.0991520 | − | 0.305159i | ||||
\(927\) | −3.52671 | − | 4.85410i | −0.115832 | − | 0.159430i | ||||
\(928\) | −14.7679 | + | 20.3262i | −0.484779 | + | 0.667241i | ||||
\(929\) | 10.1631 | + | 31.2789i | 0.333441 | + | 1.02623i | 0.967485 | + | 0.252929i | \(0.0813939\pi\) |
−0.634044 | + | 0.773297i | \(0.718606\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −9.47214 | − | 6.88191i | −0.310437 | − | 0.225545i | ||||
\(932\) | −23.1356 | − | 31.8435i | −0.757833 | − | 1.04307i | ||||
\(933\) | 2.40414 | + | 0.781153i | 0.0787081 | + | 0.0255738i | ||||
\(934\) | −6.03444 | −0.197453 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 3.94427 | 0.128923 | ||||||||
\(937\) | 15.7844 | + | 5.12868i | 0.515655 | + | 0.167547i | 0.555273 | − | 0.831668i | \(-0.312614\pi\) |
−0.0396173 | + | 0.999215i | \(0.512614\pi\) | |||||||
\(938\) | −10.4211 | − | 14.3435i | −0.340262 | − | 0.468331i | ||||
\(939\) | 20.8992 | + | 15.1841i | 0.682019 | + | 0.495516i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −13.7918 | − | 42.4468i | −0.449600 | − | 1.38373i | −0.877360 | − | 0.479833i | \(-0.840697\pi\) |
0.427760 | − | 0.903892i | \(-0.359303\pi\) | |||||||
\(942\) | −1.34708 | + | 1.85410i | −0.0438904 | + | 0.0604099i | ||||
\(943\) | 24.3767 | + | 33.5517i | 0.793815 | + | 1.09259i | ||||
\(944\) | −5.91641 | + | 18.2088i | −0.192563 | + | 0.592647i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −12.4721 | + | 2.80017i | −0.405504 | + | 0.0910413i | ||||
\(947\) | − | 18.3262i | − | 0.595523i | −0.954640 | − | 0.297761i | \(-0.903760\pi\) | ||
0.954640 | − | 0.297761i | \(-0.0962400\pi\) | |||||||
\(948\) | −14.5761 | − | 4.73607i | −0.473410 | − | 0.153820i | ||||
\(949\) | −4.61803 | + | 3.35520i | −0.149908 | + | 0.108914i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −5.98278 | − | 18.4131i | −0.194005 | − | 0.597086i | ||||
\(952\) | 10.3229 | − | 3.35410i | 0.334566 | − | 0.108707i | ||||
\(953\) | 22.2298 | − | 30.5967i | 0.720095 | − | 0.991126i | −0.279426 | − | 0.960167i | \(-0.590144\pi\) |
0.999521 | − | 0.0309585i | \(-0.00985598\pi\) | |||||||
\(954\) | 4.80902 | − | 3.49396i | 0.155698 | − | 0.113121i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −4.14590 | −0.134088 | ||||||||
\(957\) | 12.7598 | − | 7.56231i | 0.412465 | − | 0.244455i | ||||
\(958\) | 17.3607i | 0.560898i | ||||||||
\(959\) | −6.92705 | + | 21.3193i | −0.223686 | + | 0.688435i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 18.4894 | + | 13.4333i | 0.596431 | + | 0.433332i | ||||
\(962\) | −0.244758 | + | 0.0795268i | −0.00789133 | + | 0.00256405i | ||||
\(963\) | 4.02874 | − | 1.30902i | 0.129824 | − | 0.0421825i | ||||
\(964\) | 30.2705 | + | 21.9928i | 0.974947 | + | 0.708341i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −1.98936 | + | 6.12261i | −0.0640065 | + | 0.196992i | ||||
\(967\) | 34.6869i | 1.11546i | 0.830024 | + | 0.557728i | \(0.188327\pi\) | ||||
−0.830024 | + | 0.557728i | \(0.811673\pi\) | |||||||
\(968\) | 24.3970 | − | 3.12868i | 0.784148 | − | 0.100559i | ||||
\(969\) | −9.47214 | −0.304289 | ||||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −30.5623 | + | 22.2048i | −0.980791 | + | 0.712586i | −0.957885 | − | 0.287151i | \(-0.907292\pi\) |
−0.0229058 | + | 0.999738i | \(0.507292\pi\) | |||||||
\(972\) | 0.951057 | − | 1.30902i | 0.0305052 | − | 0.0419867i | ||||
\(973\) | 2.43690 | − | 0.791796i | 0.0781234 | − | 0.0253838i | ||||
\(974\) | 3.21227 | + | 9.88635i | 0.102928 | + | 0.316779i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.7812 | + | 8.55951i | −0.377106 | + | 0.273983i | ||||
\(977\) | 4.41226 | + | 1.43363i | 0.141161 | + | 0.0458658i | 0.378745 | − | 0.925501i | \(-0.376356\pi\) |
−0.237585 | + | 0.971367i | \(0.576356\pi\) | |||||||
\(978\) | − | 11.2918i | − | 0.361072i | ||||||
\(979\) | −0.892609 | − | 1.50609i | −0.0285279 | − | 0.0481347i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | −9.15981 | − | 12.6074i | −0.292301 | − | 0.402318i | ||||
\(983\) | −16.0494 | + | 22.0902i | −0.511898 | + | 0.704567i | −0.984238 | − | 0.176849i | \(-0.943409\pi\) |
0.472340 | + | 0.881416i | \(0.343409\pi\) | |||||||
\(984\) | 8.25329 | + | 25.4010i | 0.263105 | + | 0.809755i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 3.61803 | + | 2.62866i | 0.115222 | + | 0.0837134i | ||||
\(987\) | 2.85317 | + | 3.92705i | 0.0908174 | + | 0.124999i | ||||
\(988\) | −15.8904 | − | 5.16312i | −0.505542 | − | 0.164261i | ||||
\(989\) | −21.6525 | −0.688509 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 21.2705 | 0.675680 | 0.337840 | − | 0.941204i | \(-0.390304\pi\) | ||||
0.337840 | + | 0.941204i | \(0.390304\pi\) | |||||||
\(992\) | 15.2497 | + | 4.95492i | 0.484177 | + | 0.157319i | ||||
\(993\) | −15.6332 | − | 21.5172i | −0.496104 | − | 0.682828i | ||||
\(994\) | 8.34346 | + | 6.06188i | 0.264638 | + | 0.192271i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −0.354102 | − | 1.08981i | −0.0112202 | − | 0.0345321i | ||||
\(997\) | 7.62870 | − | 10.5000i | 0.241603 | − | 0.332538i | −0.670945 | − | 0.741507i | \(-0.734111\pi\) |
0.912548 | + | 0.408969i | \(0.134111\pi\) | |||||||
\(998\) | −6.37988 | − | 8.78115i | −0.201952 | − | 0.277963i | ||||
\(999\) | −0.0729490 | + | 0.224514i | −0.00230800 | + | 0.00710331i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))