Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(71,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.71");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.o (of order \(9\), degree \(6\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 71.2 | ||
Character | \(\chi\) | \(=\) | 370.71 |
Dual form | 370.2.o.d.271.2 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.766044 | + | 0.642788i | 0.541675 | + | 0.454519i | ||||
\(3\) | −0.599525 | + | 0.503061i | −0.346136 | + | 0.290442i | −0.799236 | − | 0.601017i | \(-0.794762\pi\) |
0.453100 | + | 0.891459i | \(0.350318\pi\) | |||||||
\(4\) | 0.173648 | + | 0.984808i | 0.0868241 | + | 0.492404i | ||||
\(5\) | 0.939693 | + | 0.342020i | 0.420243 | + | 0.152956i | ||||
\(6\) | −0.782624 | −0.319505 | ||||||||
\(7\) | 2.34566 | + | 0.853751i | 0.886577 | + | 0.322688i | 0.744861 | − | 0.667220i | \(-0.232516\pi\) |
0.141716 | + | 0.989907i | \(0.454738\pi\) | |||||||
\(8\) | −0.500000 | + | 0.866025i | −0.176777 | + | 0.306186i | ||||
\(9\) | −0.414585 | + | 2.35123i | −0.138195 | + | 0.783743i | ||||
\(10\) | 0.500000 | + | 0.866025i | 0.158114 | + | 0.273861i | ||||
\(11\) | 0.923061 | − | 1.59879i | 0.278313 | − | 0.482053i | −0.692652 | − | 0.721272i | \(-0.743558\pi\) |
0.970966 | + | 0.239219i | \(0.0768913\pi\) | |||||||
\(12\) | −0.599525 | − | 0.503061i | −0.173068 | − | 0.145221i | ||||
\(13\) | −0.763687 | − | 4.33109i | −0.211809 | − | 1.20123i | −0.886359 | − | 0.462998i | \(-0.846774\pi\) |
0.674550 | − | 0.738229i | \(-0.264337\pi\) | |||||||
\(14\) | 1.24810 | + | 2.16177i | 0.333569 | + | 0.577758i | ||||
\(15\) | −0.735426 | + | 0.267673i | −0.189886 | + | 0.0691129i | ||||
\(16\) | −0.939693 | + | 0.342020i | −0.234923 | + | 0.0855050i | ||||
\(17\) | −0.974708 | + | 5.52784i | −0.236401 | + | 1.34070i | 0.603241 | + | 0.797559i | \(0.293876\pi\) |
−0.839642 | + | 0.543140i | \(0.817235\pi\) | |||||||
\(18\) | −1.82893 | + | 1.53466i | −0.431083 | + | 0.361722i | ||||
\(19\) | −3.01290 | + | 2.52812i | −0.691207 | + | 0.579992i | −0.919257 | − | 0.393658i | \(-0.871209\pi\) |
0.228050 | + | 0.973649i | \(0.426765\pi\) | |||||||
\(20\) | −0.173648 | + | 0.984808i | −0.0388289 | + | 0.220210i | ||||
\(21\) | −1.83577 | + | 0.668166i | −0.400598 | + | 0.145806i | ||||
\(22\) | 1.73479 | − | 0.631411i | 0.369858 | − | 0.134617i | ||||
\(23\) | 2.88790 | + | 5.00198i | 0.602168 | + | 1.04299i | 0.992492 | + | 0.122308i | \(0.0390296\pi\) |
−0.390324 | + | 0.920677i | \(0.627637\pi\) | |||||||
\(24\) | −0.135901 | − | 0.770734i | −0.0277407 | − | 0.157325i | ||||
\(25\) | 0.766044 | + | 0.642788i | 0.153209 | + | 0.128558i | ||||
\(26\) | 2.19895 | − | 3.80869i | 0.431250 | − | 0.746946i | ||||
\(27\) | −2.10819 | − | 3.65150i | −0.405722 | − | 0.702731i | ||||
\(28\) | −0.433461 | + | 2.45828i | −0.0819164 | + | 0.464571i | ||||
\(29\) | 2.06692 | − | 3.58001i | 0.383818 | − | 0.664792i | −0.607787 | − | 0.794100i | \(-0.707942\pi\) |
0.991604 | + | 0.129308i | \(0.0412757\pi\) | |||||||
\(30\) | −0.735426 | − | 0.267673i | −0.134270 | − | 0.0488702i | ||||
\(31\) | 9.55236 | 1.71565 | 0.857827 | − | 0.513938i | \(-0.171814\pi\) | ||||
0.857827 | + | 0.513938i | \(0.171814\pi\) | |||||||
\(32\) | −0.939693 | − | 0.342020i | −0.166116 | − | 0.0604612i | ||||
\(33\) | 0.250890 | + | 1.42287i | 0.0436744 | + | 0.247690i | ||||
\(34\) | −4.29990 | + | 3.60804i | −0.737427 | + | 0.618774i | ||||
\(35\) | 1.91220 | + | 1.60453i | 0.323221 | + | 0.271215i | ||||
\(36\) | −2.38750 | −0.397917 | ||||||||
\(37\) | −5.76547 | − | 1.93892i | −0.947837 | − | 0.318756i | ||||
\(38\) | −3.93306 | −0.638027 | ||||||||
\(39\) | 2.63665 | + | 2.21241i | 0.422202 | + | 0.354269i | ||||
\(40\) | −0.766044 | + | 0.642788i | −0.121122 | + | 0.101634i | ||||
\(41\) | −1.37210 | − | 7.78155i | −0.214286 | − | 1.21527i | −0.882142 | − | 0.470984i | \(-0.843899\pi\) |
0.667856 | − | 0.744290i | \(-0.267212\pi\) | |||||||
\(42\) | −1.83577 | − | 0.668166i | −0.283266 | − | 0.103100i | ||||
\(43\) | −5.64991 | −0.861603 | −0.430801 | − | 0.902447i | \(-0.641769\pi\) | ||||
−0.430801 | + | 0.902447i | \(0.641769\pi\) | |||||||
\(44\) | 1.73479 | + | 0.631411i | 0.261529 | + | 0.0951888i | ||||
\(45\) | −1.19375 | + | 2.06764i | −0.177954 | + | 0.308225i | ||||
\(46\) | −1.00296 | + | 5.68805i | −0.147878 | + | 0.838657i | ||||
\(47\) | −3.47845 | − | 6.02485i | −0.507384 | − | 0.878814i | −0.999963 | − | 0.00854709i | \(-0.997279\pi\) |
0.492580 | − | 0.870267i | \(-0.336054\pi\) | |||||||
\(48\) | 0.391312 | − | 0.677772i | 0.0564810 | − | 0.0978280i | ||||
\(49\) | −0.589073 | − | 0.494291i | −0.0841533 | − | 0.0706130i | ||||
\(50\) | 0.173648 | + | 0.984808i | 0.0245576 | + | 0.139273i | ||||
\(51\) | −2.19648 | − | 3.80442i | −0.307569 | − | 0.532725i | ||||
\(52\) | 4.13267 | − | 1.50417i | 0.573099 | − | 0.208591i | ||||
\(53\) | 4.91837 | − | 1.79014i | 0.675590 | − | 0.245894i | 0.0186369 | − | 0.999826i | \(-0.494067\pi\) |
0.656953 | + | 0.753932i | \(0.271845\pi\) | |||||||
\(54\) | 0.732168 | − | 4.15233i | 0.0996354 | − | 0.565060i | ||||
\(55\) | 1.41421 | − | 1.18666i | 0.190692 | − | 0.160010i | ||||
\(56\) | −1.91220 | + | 1.60453i | −0.255529 | + | 0.214414i | ||||
\(57\) | 0.534508 | − | 3.03135i | 0.0707973 | − | 0.401512i | ||||
\(58\) | 3.88454 | − | 1.41386i | 0.510066 | − | 0.185649i | ||||
\(59\) | 10.3044 | − | 3.75051i | 1.34152 | − | 0.488274i | 0.431231 | − | 0.902242i | \(-0.358080\pi\) |
0.910292 | + | 0.413968i | \(0.135857\pi\) | |||||||
\(60\) | −0.391312 | − | 0.677772i | −0.0505182 | − | 0.0875000i | ||||
\(61\) | −2.47163 | − | 14.0173i | −0.316460 | − | 1.79473i | −0.563916 | − | 0.825832i | \(-0.690706\pi\) |
0.247456 | − | 0.968899i | \(-0.420405\pi\) | |||||||
\(62\) | 7.31753 | + | 6.14014i | 0.929328 | + | 0.779799i | ||||
\(63\) | −2.97984 | + | 5.16123i | −0.375425 | + | 0.650254i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 0.763687 | − | 4.33109i | 0.0947237 | − | 0.537205i | ||||
\(66\) | −0.722410 | + | 1.25125i | −0.0889225 | + | 0.154018i | ||||
\(67\) | 3.74542 | + | 1.36322i | 0.457576 | + | 0.166544i | 0.560516 | − | 0.828144i | \(-0.310603\pi\) |
−0.102940 | + | 0.994688i | \(0.532825\pi\) | |||||||
\(68\) | −5.61312 | −0.680691 | ||||||||
\(69\) | −4.24767 | − | 1.54602i | −0.511359 | − | 0.186119i | ||||
\(70\) | 0.433461 | + | 2.45828i | 0.0518085 | + | 0.293820i | ||||
\(71\) | 7.88921 | − | 6.61983i | 0.936277 | − | 0.785629i | −0.0406568 | − | 0.999173i | \(-0.512945\pi\) |
0.976934 | + | 0.213544i | \(0.0685006\pi\) | |||||||
\(72\) | −1.82893 | − | 1.53466i | −0.215542 | − | 0.180861i | ||||
\(73\) | −2.47995 | −0.290257 | −0.145128 | − | 0.989413i | \(-0.546360\pi\) | ||||
−0.145128 | + | 0.989413i | \(0.546360\pi\) | |||||||
\(74\) | −3.17029 | − | 5.19127i | −0.368539 | − | 0.603473i | ||||
\(75\) | −0.782624 | −0.0903696 | ||||||||
\(76\) | −3.01290 | − | 2.52812i | −0.345604 | − | 0.289996i | ||||
\(77\) | 3.53016 | − | 2.96215i | 0.402299 | − | 0.337569i | ||||
\(78\) | 0.597680 | + | 3.38961i | 0.0676739 | + | 0.383798i | ||||
\(79\) | 10.9388 | + | 3.98139i | 1.23071 | + | 0.447942i | 0.873840 | − | 0.486213i | \(-0.161622\pi\) |
0.356869 | + | 0.934154i | \(0.383844\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | −3.62971 | − | 1.32111i | −0.403301 | − | 0.146790i | ||||
\(82\) | 3.95080 | − | 6.84298i | 0.436292 | − | 0.755681i | ||||
\(83\) | −2.30162 | + | 13.0532i | −0.252636 | + | 1.43277i | 0.549432 | + | 0.835538i | \(0.314844\pi\) |
−0.802068 | + | 0.597232i | \(0.796267\pi\) | |||||||
\(84\) | −0.976793 | − | 1.69186i | −0.106577 | − | 0.184597i | ||||
\(85\) | −2.80656 | + | 4.86110i | −0.304414 | + | 0.527261i | ||||
\(86\) | −4.32808 | − | 3.63169i | −0.466709 | − | 0.391615i | ||||
\(87\) | 0.561794 | + | 3.18609i | 0.0602307 | + | 0.341585i | ||||
\(88\) | 0.923061 | + | 1.59879i | 0.0983987 | + | 0.170431i | ||||
\(89\) | −7.26813 | + | 2.64538i | −0.770420 | + | 0.280410i | −0.697172 | − | 0.716904i | \(-0.745559\pi\) |
−0.0732480 | + | 0.997314i | \(0.523336\pi\) | |||||||
\(90\) | −2.24352 | + | 0.816573i | −0.236487 | + | 0.0860744i | ||||
\(91\) | 1.90632 | − | 10.8113i | 0.199836 | − | 1.13333i | ||||
\(92\) | −4.42451 | + | 3.71261i | −0.461287 | + | 0.387066i | ||||
\(93\) | −5.72688 | + | 4.80542i | −0.593849 | + | 0.498299i | ||||
\(94\) | 1.20805 | − | 6.85120i | 0.124601 | − | 0.706648i | ||||
\(95\) | −3.69587 | + | 1.34519i | −0.379188 | + | 0.138013i | ||||
\(96\) | 0.735426 | − | 0.267673i | 0.0750591 | − | 0.0273193i | ||||
\(97\) | −6.64002 | − | 11.5009i | −0.674192 | − | 1.16773i | −0.976704 | − | 0.214589i | \(-0.931159\pi\) |
0.302513 | − | 0.953145i | \(-0.402175\pi\) | |||||||
\(98\) | −0.133532 | − | 0.757298i | −0.0134888 | − | 0.0764986i | ||||
\(99\) | 3.37643 | + | 2.83316i | 0.339344 | + | 0.284743i | ||||
\(100\) | −0.500000 | + | 0.866025i | −0.0500000 | + | 0.0866025i | ||||
\(101\) | 6.06915 | + | 10.5121i | 0.603903 | + | 1.04599i | 0.992224 | + | 0.124466i | \(0.0397218\pi\) |
−0.388321 | + | 0.921524i | \(0.626945\pi\) | |||||||
\(102\) | 0.762830 | − | 4.32622i | 0.0755314 | − | 0.428360i | ||||
\(103\) | 2.60541 | − | 4.51270i | 0.256719 | − | 0.444650i | −0.708642 | − | 0.705568i | \(-0.750692\pi\) |
0.965361 | + | 0.260918i | \(0.0840253\pi\) | |||||||
\(104\) | 4.13267 | + | 1.50417i | 0.405242 | + | 0.147496i | ||||
\(105\) | −1.95359 | −0.190651 | ||||||||
\(106\) | 4.91837 | + | 1.79014i | 0.477714 | + | 0.173874i | ||||
\(107\) | 0.0231706 | + | 0.131407i | 0.00223999 | + | 0.0127036i | 0.985907 | − | 0.167293i | \(-0.0535025\pi\) |
−0.983667 | + | 0.179996i | \(0.942391\pi\) | |||||||
\(108\) | 3.22994 | − | 2.71024i | 0.310801 | − | 0.260793i | ||||
\(109\) | −12.0085 | − | 10.0764i | −1.15021 | − | 0.965140i | −0.150484 | − | 0.988612i | \(-0.548083\pi\) |
−0.999724 | + | 0.0234725i | \(0.992528\pi\) | |||||||
\(110\) | 1.84612 | 0.176021 | ||||||||
\(111\) | 4.43193 | − | 1.73795i | 0.420660 | − | 0.164959i | ||||
\(112\) | −2.49620 | −0.235869 | ||||||||
\(113\) | 2.37738 | + | 1.99486i | 0.223645 | + | 0.187660i | 0.747725 | − | 0.664009i | \(-0.231146\pi\) |
−0.524080 | + | 0.851669i | \(0.675591\pi\) | |||||||
\(114\) | 2.35797 | − | 1.97857i | 0.220844 | − | 0.185310i | ||||
\(115\) | 1.00296 | + | 5.68805i | 0.0935261 | + | 0.530413i | ||||
\(116\) | 3.88454 | + | 1.41386i | 0.360671 | + | 0.131273i | ||||
\(117\) | 10.5000 | 0.970724 | ||||||||
\(118\) | 10.3044 | + | 3.75051i | 0.948600 | + | 0.345262i | ||||
\(119\) | −7.00574 | + | 12.1343i | −0.642215 | + | 1.11235i | ||||
\(120\) | 0.135901 | − | 0.770734i | 0.0124060 | − | 0.0703581i | ||||
\(121\) | 3.79592 | + | 6.57472i | 0.345083 | + | 0.597702i | ||||
\(122\) | 7.11677 | − | 12.3266i | 0.644322 | − | 1.11600i | ||||
\(123\) | 4.73720 | + | 3.97498i | 0.427139 | + | 0.358412i | ||||
\(124\) | 1.65875 | + | 9.40724i | 0.148960 | + | 0.844795i | ||||
\(125\) | 0.500000 | + | 0.866025i | 0.0447214 | + | 0.0774597i | ||||
\(126\) | −5.60027 | + | 2.03833i | −0.498911 | + | 0.181589i | ||||
\(127\) | −18.5396 | + | 6.74786i | −1.64512 | + | 0.598775i | −0.987924 | − | 0.154942i | \(-0.950481\pi\) |
−0.657198 | + | 0.753718i | \(0.728259\pi\) | |||||||
\(128\) | 0.173648 | − | 0.984808i | 0.0153485 | − | 0.0870455i | ||||
\(129\) | 3.38726 | − | 2.84225i | 0.298232 | − | 0.250246i | ||||
\(130\) | 3.36899 | − | 2.82692i | 0.295480 | − | 0.247937i | ||||
\(131\) | 1.39128 | − | 7.89034i | 0.121557 | − | 0.689382i | −0.861737 | − | 0.507355i | \(-0.830623\pi\) |
0.983294 | − | 0.182027i | \(-0.0582657\pi\) | |||||||
\(132\) | −1.35769 | + | 0.494157i | −0.118171 | + | 0.0430109i | ||||
\(133\) | −9.22564 | + | 3.35786i | −0.799964 | + | 0.291163i | ||||
\(134\) | 1.99290 | + | 3.45180i | 0.172160 | + | 0.298190i | ||||
\(135\) | −0.732168 | − | 4.15233i | −0.0630150 | − | 0.357376i | ||||
\(136\) | −4.29990 | − | 3.60804i | −0.368713 | − | 0.309387i | ||||
\(137\) | −3.24472 | + | 5.62002i | −0.277215 | + | 0.480151i | −0.970692 | − | 0.240328i | \(-0.922745\pi\) |
0.693476 | + | 0.720479i | \(0.256078\pi\) | |||||||
\(138\) | −2.26014 | − | 3.91467i | −0.192396 | − | 0.333239i | ||||
\(139\) | −0.205759 | + | 1.16692i | −0.0174522 | + | 0.0989765i | −0.992290 | − | 0.123941i | \(-0.960447\pi\) |
0.974837 | + | 0.222917i | \(0.0715579\pi\) | |||||||
\(140\) | −1.24810 | + | 2.16177i | −0.105484 | + | 0.182703i | ||||
\(141\) | 5.11628 | + | 1.86217i | 0.430869 | + | 0.156823i | ||||
\(142\) | 10.2986 | 0.864242 | ||||||||
\(143\) | −7.62942 | − | 2.77688i | −0.638004 | − | 0.232215i | ||||
\(144\) | −0.414585 | − | 2.35123i | −0.0345488 | − | 0.195936i | ||||
\(145\) | 3.16671 | − | 2.65718i | 0.262981 | − | 0.220667i | ||||
\(146\) | −1.89975 | − | 1.59408i | −0.157225 | − | 0.131927i | ||||
\(147\) | 0.601822 | 0.0496375 | ||||||||
\(148\) | 0.908300 | − | 6.01456i | 0.0746618 | − | 0.494394i | ||||
\(149\) | −3.97421 | −0.325580 | −0.162790 | − | 0.986661i | \(-0.552049\pi\) | ||||
−0.162790 | + | 0.986661i | \(0.552049\pi\) | |||||||
\(150\) | −0.599525 | − | 0.503061i | −0.0489510 | − | 0.0410748i | ||||
\(151\) | −2.85570 | + | 2.39622i | −0.232393 | + | 0.195001i | −0.751547 | − | 0.659680i | \(-0.770692\pi\) |
0.519153 | + | 0.854681i | \(0.326247\pi\) | |||||||
\(152\) | −0.682969 | − | 3.87331i | −0.0553961 | − | 0.314167i | ||||
\(153\) | −12.5931 | − | 4.58352i | −1.01809 | − | 0.370556i | ||||
\(154\) | 4.60829 | 0.371347 | ||||||||
\(155\) | 8.97628 | + | 3.26710i | 0.720992 | + | 0.262420i | ||||
\(156\) | −1.72095 | + | 2.98077i | −0.137786 | + | 0.238653i | ||||
\(157\) | −1.02148 | + | 5.79312i | −0.0815233 | + | 0.462341i | 0.916530 | + | 0.399967i | \(0.130978\pi\) |
−0.998053 | + | 0.0623744i | \(0.980133\pi\) | |||||||
\(158\) | 5.82040 | + | 10.0812i | 0.463047 | + | 0.802020i | ||||
\(159\) | −2.04813 | + | 3.54747i | −0.162428 | + | 0.281333i | ||||
\(160\) | −0.766044 | − | 0.642788i | −0.0605611 | − | 0.0508168i | ||||
\(161\) | 2.50358 | + | 14.1985i | 0.197310 | + | 1.11900i | ||||
\(162\) | −1.93133 | − | 3.34516i | −0.151739 | − | 0.262820i | ||||
\(163\) | 4.53873 | − | 1.65196i | 0.355501 | − | 0.129392i | −0.158095 | − | 0.987424i | \(-0.550535\pi\) |
0.513596 | + | 0.858032i | \(0.328313\pi\) | |||||||
\(164\) | 7.42507 | − | 2.70250i | 0.579800 | − | 0.211030i | ||||
\(165\) | −0.250890 | + | 1.42287i | −0.0195318 | + | 0.110770i | ||||
\(166\) | −10.1536 | + | 8.51985i | −0.788069 | + | 0.661268i | ||||
\(167\) | −2.41210 | + | 2.02399i | −0.186654 | + | 0.156621i | −0.731326 | − | 0.682028i | \(-0.761098\pi\) |
0.544673 | + | 0.838649i | \(0.316654\pi\) | |||||||
\(168\) | 0.339237 | − | 1.92391i | 0.0261727 | − | 0.148433i | ||||
\(169\) | −5.95908 | + | 2.16893i | −0.458391 | + | 0.166841i | ||||
\(170\) | −5.27461 | + | 1.91980i | −0.404544 | + | 0.147242i | ||||
\(171\) | −4.69510 | − | 8.13214i | −0.359043 | − | 0.621881i | ||||
\(172\) | −0.981096 | − | 5.56407i | −0.0748079 | − | 0.424257i | ||||
\(173\) | 13.8066 | + | 11.5852i | 1.04970 | + | 0.880803i | 0.993062 | − | 0.117592i | \(-0.0375175\pi\) |
0.0566378 | + | 0.998395i | \(0.481962\pi\) | |||||||
\(174\) | −1.61762 | + | 2.80180i | −0.122632 | + | 0.212404i | ||||
\(175\) | 1.24810 | + | 2.16177i | 0.0943475 | + | 0.163415i | ||||
\(176\) | −0.320576 | + | 1.81808i | −0.0241643 | + | 0.137043i | ||||
\(177\) | −4.29103 | + | 7.43228i | −0.322533 | + | 0.558644i | ||||
\(178\) | −7.26813 | − | 2.64538i | −0.544769 | − | 0.198280i | ||||
\(179\) | 12.2015 | 0.911986 | 0.455993 | − | 0.889983i | \(-0.349284\pi\) | ||||
0.455993 | + | 0.889983i | \(0.349284\pi\) | |||||||
\(180\) | −2.24352 | − | 0.816573i | −0.167222 | − | 0.0608638i | ||||
\(181\) | −2.80356 | − | 15.8998i | −0.208387 | − | 1.18182i | −0.892021 | − | 0.451995i | \(-0.850713\pi\) |
0.683634 | − | 0.729825i | \(-0.260399\pi\) | |||||||
\(182\) | 8.40967 | − | 7.05655i | 0.623366 | − | 0.523066i | ||||
\(183\) | 8.53336 | + | 7.16034i | 0.630804 | + | 0.529307i | ||||
\(184\) | −5.77579 | −0.425797 | ||||||||
\(185\) | −4.75462 | − | 3.79389i | −0.349566 | − | 0.278933i | ||||
\(186\) | −7.47591 | −0.548160 | ||||||||
\(187\) | 7.93814 | + | 6.66089i | 0.580494 | + | 0.487092i | ||||
\(188\) | 5.32929 | − | 4.47181i | 0.388678 | − | 0.326140i | ||||
\(189\) | −1.82764 | − | 10.3650i | −0.132941 | − | 0.753946i | ||||
\(190\) | −3.69587 | − | 1.34519i | −0.268127 | − | 0.0975901i | ||||
\(191\) | −1.01452 | −0.0734081 | −0.0367040 | − | 0.999326i | \(-0.511686\pi\) | ||||
−0.0367040 | + | 0.999326i | \(0.511686\pi\) | |||||||
\(192\) | 0.735426 | + | 0.267673i | 0.0530748 | + | 0.0193176i | ||||
\(193\) | −12.5004 | + | 21.6513i | −0.899796 | + | 1.55849i | −0.0720424 | + | 0.997402i | \(0.522952\pi\) |
−0.827754 | + | 0.561091i | \(0.810382\pi\) | |||||||
\(194\) | 2.30605 | − | 13.0783i | 0.165565 | − | 0.938966i | ||||
\(195\) | 1.72095 | + | 2.98077i | 0.123240 | + | 0.213458i | ||||
\(196\) | 0.384490 | − | 0.665957i | 0.0274636 | − | 0.0475683i | ||||
\(197\) | −5.53579 | − | 4.64508i | −0.394409 | − | 0.330948i | 0.423919 | − | 0.905700i | \(-0.360654\pi\) |
−0.818328 | + | 0.574752i | \(0.805099\pi\) | |||||||
\(198\) | 0.765375 | + | 4.34066i | 0.0543928 | + | 0.308477i | ||||
\(199\) | −6.45218 | − | 11.1755i | −0.457383 | − | 0.792210i | 0.541439 | − | 0.840740i | \(-0.317880\pi\) |
−0.998822 | + | 0.0485299i | \(0.984546\pi\) | |||||||
\(200\) | −0.939693 | + | 0.342020i | −0.0664463 | + | 0.0241845i | ||||
\(201\) | −2.93125 | + | 1.06689i | −0.206755 | + | 0.0752526i | ||||
\(202\) | −2.10779 | + | 11.9539i | −0.148304 | + | 0.841073i | ||||
\(203\) | 7.90474 | − | 6.63287i | 0.554804 | − | 0.465536i | ||||
\(204\) | 3.36520 | − | 2.82374i | 0.235611 | − | 0.197701i | ||||
\(205\) | 1.37210 | − | 7.78155i | 0.0958314 | − | 0.543487i | ||||
\(206\) | 4.89657 | − | 1.78220i | 0.341160 | − | 0.124172i | ||||
\(207\) | −12.9581 | + | 4.71636i | −0.900649 | + | 0.327809i | ||||
\(208\) | 2.19895 | + | 3.80869i | 0.152470 | + | 0.264085i | ||||
\(209\) | 1.26085 | + | 7.15061i | 0.0872145 | + | 0.494618i | ||||
\(210\) | −1.49653 | − | 1.25574i | −0.103271 | − | 0.0866544i | ||||
\(211\) | −7.72337 | + | 13.3773i | −0.531699 | + | 0.920930i | 0.467616 | + | 0.883932i | \(0.345113\pi\) |
−0.999315 | + | 0.0369981i | \(0.988220\pi\) | |||||||
\(212\) | 2.61701 | + | 4.53279i | 0.179737 | + | 0.311313i | ||||
\(213\) | −1.39960 | + | 7.93750i | −0.0958987 | + | 0.543869i | ||||
\(214\) | −0.0667171 | + | 0.115557i | −0.00456069 | + | 0.00789934i | ||||
\(215\) | −5.30918 | − | 1.93238i | −0.362083 | − | 0.131787i | ||||
\(216\) | 4.21639 | 0.286889 | ||||||||
\(217\) | 22.4066 | + | 8.15534i | 1.52106 | + | 0.553620i | ||||
\(218\) | −2.72211 | − | 15.4379i | −0.184365 | − | 1.04558i | ||||
\(219\) | 1.48679 | − | 1.24757i | 0.100468 | − | 0.0843028i | ||||
\(220\) | 1.41421 | + | 1.18666i | 0.0953461 | + | 0.0800049i | ||||
\(221\) | 24.6859 | 1.66056 | ||||||||
\(222\) | 4.51219 | + | 1.51744i | 0.302838 | + | 0.101844i | ||||
\(223\) | −8.08624 | −0.541495 | −0.270747 | − | 0.962650i | \(-0.587271\pi\) | ||||
−0.270747 | + | 0.962650i | \(0.587271\pi\) | |||||||
\(224\) | −1.91220 | − | 1.60453i | −0.127764 | − | 0.107207i | ||||
\(225\) | −1.82893 | + | 1.53466i | −0.121929 | + | 0.102310i | ||||
\(226\) | 0.538907 | + | 3.05630i | 0.0358476 | + | 0.203302i | ||||
\(227\) | −4.12641 | − | 1.50189i | −0.273879 | − | 0.0996839i | 0.201429 | − | 0.979503i | \(-0.435441\pi\) |
−0.475309 | + | 0.879819i | \(0.657664\pi\) | |||||||
\(228\) | 3.07811 | 0.203853 | ||||||||
\(229\) | −20.9640 | − | 7.63029i | −1.38534 | − | 0.504224i | −0.461550 | − | 0.887114i | \(-0.652706\pi\) |
−0.923794 | + | 0.382891i | \(0.874929\pi\) | |||||||
\(230\) | −2.88790 | + | 5.00198i | −0.190422 | + | 0.329821i | ||||
\(231\) | −0.626273 | + | 3.55177i | −0.0412057 | + | 0.233689i | ||||
\(232\) | 2.06692 | + | 3.58001i | 0.135700 | + | 0.235039i | ||||
\(233\) | 6.80959 | − | 11.7946i | 0.446111 | − | 0.772687i | −0.552018 | − | 0.833832i | \(-0.686142\pi\) |
0.998129 | + | 0.0611451i | \(0.0194752\pi\) | |||||||
\(234\) | 8.04345 | + | 6.74926i | 0.525817 | + | 0.441213i | ||||
\(235\) | −1.20805 | − | 6.85120i | −0.0788046 | − | 0.446923i | ||||
\(236\) | 5.48287 | + | 9.49661i | 0.356905 | + | 0.618177i | ||||
\(237\) | −8.56095 | + | 3.11593i | −0.556094 | + | 0.202402i | ||||
\(238\) | −13.1665 | + | 4.79221i | −0.853456 | + | 0.310633i | ||||
\(239\) | −0.631749 | + | 3.58283i | −0.0408644 | + | 0.231754i | −0.998399 | − | 0.0565650i | \(-0.981985\pi\) |
0.957534 | + | 0.288319i | \(0.0930963\pi\) | |||||||
\(240\) | 0.599525 | − | 0.503061i | 0.0386992 | − | 0.0324724i | ||||
\(241\) | −15.5538 | + | 13.0512i | −1.00191 | + | 0.840703i | −0.987248 | − | 0.159190i | \(-0.949112\pi\) |
−0.0146626 | + | 0.999892i | \(0.504667\pi\) | |||||||
\(242\) | −1.31831 | + | 7.47650i | −0.0847440 | + | 0.480607i | ||||
\(243\) | 14.7270 | − | 5.36020i | 0.944739 | − | 0.343857i | ||||
\(244\) | 13.3752 | − | 4.86816i | 0.856256 | − | 0.311652i | ||||
\(245\) | −0.384490 | − | 0.665957i | −0.0245642 | − | 0.0425464i | ||||
\(246\) | 1.07384 | + | 6.09003i | 0.0684653 | + | 0.388286i | ||||
\(247\) | 13.2504 | + | 11.1184i | 0.843105 | + | 0.707449i | ||||
\(248\) | −4.77618 | + | 8.27259i | −0.303288 | + | 0.525310i | ||||
\(249\) | −5.18666 | − | 8.98355i | −0.328691 | − | 0.569309i | ||||
\(250\) | −0.173648 | + | 0.984808i | −0.0109825 | + | 0.0622847i | ||||
\(251\) | −6.35940 | + | 11.0148i | −0.401402 | + | 0.695249i | −0.993895 | − | 0.110327i | \(-0.964810\pi\) |
0.592493 | + | 0.805575i | \(0.298144\pi\) | |||||||
\(252\) | −5.60027 | − | 2.03833i | −0.352784 | − | 0.128403i | ||||
\(253\) | 10.6628 | 0.670366 | ||||||||
\(254\) | −18.5396 | − | 6.74786i | −1.16328 | − | 0.423398i | ||||
\(255\) | −0.762830 | − | 4.32622i | −0.0477702 | − | 0.270919i | ||||
\(256\) | 0.766044 | − | 0.642788i | 0.0478778 | − | 0.0401742i | ||||
\(257\) | 4.22024 | + | 3.54120i | 0.263251 | + | 0.220894i | 0.764853 | − | 0.644204i | \(-0.222811\pi\) |
−0.501602 | + | 0.865099i | \(0.667256\pi\) | |||||||
\(258\) | 4.42175 | 0.275286 | ||||||||
\(259\) | −11.8685 | − | 9.47032i | −0.737471 | − | 0.588457i | ||||
\(260\) | 4.39790 | 0.272746 | ||||||||
\(261\) | 7.56052 | + | 6.34403i | 0.467984 | + | 0.392685i | ||||
\(262\) | 6.13759 | − | 5.15005i | 0.379182 | − | 0.318171i | ||||
\(263\) | 4.54539 | + | 25.7782i | 0.280281 | + | 1.58955i | 0.721671 | + | 0.692236i | \(0.243374\pi\) |
−0.441391 | + | 0.897315i | \(0.645515\pi\) | |||||||
\(264\) | −1.35769 | − | 0.494157i | −0.0835598 | − | 0.0304133i | ||||
\(265\) | 5.23402 | 0.321523 | ||||||||
\(266\) | −9.22564 | − | 3.35786i | −0.565660 | − | 0.205883i | ||||
\(267\) | 3.02663 | − | 5.24228i | 0.185227 | − | 0.320823i | ||||
\(268\) | −0.692125 | + | 3.92524i | −0.0422783 | + | 0.239772i | ||||
\(269\) | 10.3148 | + | 17.8658i | 0.628904 | + | 1.08929i | 0.987772 | + | 0.155906i | \(0.0498296\pi\) |
−0.358868 | + | 0.933388i | \(0.616837\pi\) | |||||||
\(270\) | 2.10819 | − | 3.65150i | 0.128301 | − | 0.222223i | ||||
\(271\) | 6.79696 | + | 5.70333i | 0.412886 | + | 0.346453i | 0.825449 | − | 0.564476i | \(-0.190922\pi\) |
−0.412563 | + | 0.910929i | \(0.635366\pi\) | |||||||
\(272\) | −0.974708 | − | 5.52784i | −0.0591003 | − | 0.335175i | ||||
\(273\) | 4.29584 | + | 7.44061i | 0.259996 | + | 0.450326i | ||||
\(274\) | −6.09808 | + | 2.21952i | −0.368399 | + | 0.134086i | ||||
\(275\) | 1.73479 | − | 0.631411i | 0.104612 | − | 0.0380755i | ||||
\(276\) | 0.784937 | − | 4.45160i | 0.0472477 | − | 0.267955i | ||||
\(277\) | 5.10234 | − | 4.28137i | 0.306570 | − | 0.257243i | −0.476503 | − | 0.879173i | \(-0.658096\pi\) |
0.783073 | + | 0.621930i | \(0.213651\pi\) | |||||||
\(278\) | −0.907699 | + | 0.761650i | −0.0544402 | + | 0.0456807i | ||||
\(279\) | −3.96027 | + | 22.4598i | −0.237095 | + | 1.34463i | ||||
\(280\) | −2.34566 | + | 0.853751i | −0.140180 | + | 0.0510214i | ||||
\(281\) | 11.9994 | − | 4.36742i | 0.715824 | − | 0.260539i | 0.0416720 | − | 0.999131i | \(-0.486732\pi\) |
0.674152 | + | 0.738593i | \(0.264509\pi\) | |||||||
\(282\) | 2.72232 | + | 4.71519i | 0.162112 | + | 0.280785i | ||||
\(283\) | −4.29050 | − | 24.3326i | −0.255044 | − | 1.44643i | −0.795960 | − | 0.605349i | \(-0.793034\pi\) |
0.540917 | − | 0.841076i | \(-0.318077\pi\) | |||||||
\(284\) | 7.88921 | + | 6.61983i | 0.468138 | + | 0.392815i | ||||
\(285\) | 1.53905 | − | 2.66572i | 0.0911657 | − | 0.157904i | ||||
\(286\) | −4.05953 | − | 7.03131i | −0.240045 | − | 0.415770i | ||||
\(287\) | 3.42503 | − | 19.4243i | 0.202173 | − | 1.14658i | ||||
\(288\) | 1.19375 | − | 2.06764i | 0.0703424 | − | 0.121837i | ||||
\(289\) | −13.6322 | − | 4.96172i | −0.801895 | − | 0.291866i | ||||
\(290\) | 4.13384 | 0.242748 | ||||||||
\(291\) | 9.76648 | + | 3.55471i | 0.572521 | + | 0.208381i | ||||
\(292\) | −0.430639 | − | 2.44228i | −0.0252013 | − | 0.142923i | ||||
\(293\) | −8.68490 | + | 7.28749i | −0.507377 | + | 0.425740i | −0.860205 | − | 0.509948i | \(-0.829665\pi\) |
0.352828 | + | 0.935688i | \(0.385220\pi\) | |||||||
\(294\) | 0.461023 | + | 0.386844i | 0.0268874 | + | 0.0225612i | ||||
\(295\) | 10.9657 | 0.638450 | ||||||||
\(296\) | 4.56189 | − | 4.02358i | 0.265154 | − | 0.233866i | ||||
\(297\) | −7.78396 | −0.451671 | ||||||||
\(298\) | −3.04442 | − | 2.55457i | −0.176358 | − | 0.147982i | ||||
\(299\) | 19.4586 | − | 16.3277i | 1.12532 | − | 0.944254i | ||||
\(300\) | −0.135901 | − | 0.770734i | −0.00784626 | − | 0.0444984i | ||||
\(301\) | −13.2528 | − | 4.82361i | −0.763877 | − | 0.278029i | ||||
\(302\) | −3.72785 | −0.214514 | ||||||||
\(303\) | −8.92682 | − | 3.24910i | −0.512832 | − | 0.186656i | ||||
\(304\) | 1.96653 | − | 3.40613i | 0.112788 | − | 0.195355i | ||||
\(305\) | 2.47163 | − | 14.0173i | 0.141525 | − | 0.802628i | ||||
\(306\) | −6.70066 | − | 11.6059i | −0.383051 | − | 0.663464i | ||||
\(307\) | −0.586736 | + | 1.01626i | −0.0334868 | + | 0.0580008i | −0.882283 | − | 0.470719i | \(-0.843994\pi\) |
0.848796 | + | 0.528720i | \(0.177328\pi\) | |||||||
\(308\) | 3.53016 | + | 2.96215i | 0.201149 | + | 0.168784i | ||||
\(309\) | 0.708156 | + | 4.01615i | 0.0402856 | + | 0.228471i | ||||
\(310\) | 4.77618 | + | 8.27259i | 0.271269 | + | 0.469851i | ||||
\(311\) | 26.4929 | − | 9.64262i | 1.50227 | − | 0.546783i | 0.545626 | − | 0.838029i | \(-0.316292\pi\) |
0.956648 | + | 0.291246i | \(0.0940699\pi\) | |||||||
\(312\) | −3.23433 | + | 1.17720i | −0.183108 | + | 0.0666458i | ||||
\(313\) | 5.02016 | − | 28.4707i | 0.283756 | − | 1.60926i | −0.425939 | − | 0.904752i | \(-0.640056\pi\) |
0.709695 | − | 0.704509i | \(-0.248833\pi\) | |||||||
\(314\) | −4.50625 | + | 3.78119i | −0.254302 | + | 0.213385i | ||||
\(315\) | −4.56538 | + | 3.83081i | −0.257230 | + | 0.215842i | ||||
\(316\) | −2.02141 | + | 11.4640i | −0.113713 | + | 0.644898i | ||||
\(317\) | −26.9617 | + | 9.81325i | −1.51432 | + | 0.551167i | −0.959722 | − | 0.280952i | \(-0.909350\pi\) |
−0.554597 | + | 0.832119i | \(0.687128\pi\) | |||||||
\(318\) | −3.84923 | + | 1.40101i | −0.215854 | + | 0.0785645i | ||||
\(319\) | −3.81579 | − | 6.60914i | −0.213643 | − | 0.370041i | ||||
\(320\) | −0.173648 | − | 0.984808i | −0.00970723 | − | 0.0550524i | ||||
\(321\) | −0.0799971 | − | 0.0671256i | −0.00446500 | − | 0.00374658i | ||||
\(322\) | −7.20877 | + | 12.4860i | −0.401729 | + | 0.695815i | ||||
\(323\) | −11.0384 | − | 19.1190i | −0.614192 | − | 1.06381i | ||||
\(324\) | 0.670743 | − | 3.80397i | 0.0372635 | − | 0.211332i | ||||
\(325\) | 2.19895 | − | 3.80869i | 0.121976 | − | 0.211268i | ||||
\(326\) | 4.53873 | + | 1.65196i | 0.251377 | + | 0.0914938i | ||||
\(327\) | 12.2684 | 0.678446 | ||||||||
\(328\) | 7.42507 | + | 2.70250i | 0.409981 | + | 0.149221i | ||||
\(329\) | −3.01554 | − | 17.1020i | −0.166252 | − | 0.942863i | ||||
\(330\) | −1.10680 | + | 0.928712i | −0.0609271 | + | 0.0511239i | ||||
\(331\) | −14.8860 | − | 12.4908i | −0.818208 | − | 0.686558i | 0.134344 | − | 0.990935i | \(-0.457107\pi\) |
−0.952552 | + | 0.304377i | \(0.901552\pi\) | |||||||
\(332\) | −13.2545 | −0.727437 | ||||||||
\(333\) | 6.94912 | − | 12.7521i | 0.380809 | − | 0.698810i | ||||
\(334\) | −3.14877 | −0.172293 | ||||||||
\(335\) | 3.05329 | + | 2.56202i | 0.166819 | + | 0.139978i | ||||
\(336\) | 1.49653 | − | 1.25574i | 0.0816426 | − | 0.0685063i | ||||
\(337\) | 0.660457 | + | 3.74564i | 0.0359774 | + | 0.204038i | 0.997498 | − | 0.0706950i | \(-0.0225217\pi\) |
−0.961521 | + | 0.274733i | \(0.911411\pi\) | |||||||
\(338\) | −5.95908 | − | 2.16893i | −0.324131 | − | 0.117974i | ||||
\(339\) | −2.42883 | −0.131916 | ||||||||
\(340\) | −5.27461 | − | 1.91980i | −0.286056 | − | 0.104116i | ||||
\(341\) | 8.81741 | − | 15.2722i | 0.477490 | − | 0.827037i | ||||
\(342\) | 1.63059 | − | 9.24753i | 0.0881722 | − | 0.500049i | ||||
\(343\) | −9.69647 | − | 16.7948i | −0.523560 | − | 0.906833i | ||||
\(344\) | 2.82495 | − | 4.89296i | 0.152311 | − | 0.263811i | ||||
\(345\) | −3.46273 | − | 2.90558i | −0.186427 | − | 0.156431i | ||||
\(346\) | 3.12971 | + | 17.7495i | 0.168254 | + | 0.954218i | ||||
\(347\) | 9.77561 | + | 16.9319i | 0.524782 | + | 0.908950i | 0.999584 | + | 0.0288566i | \(0.00918663\pi\) |
−0.474801 | + | 0.880093i | \(0.657480\pi\) | |||||||
\(348\) | −3.04014 | + | 1.10652i | −0.162968 | + | 0.0593157i | ||||
\(349\) | 16.9559 | − | 6.17143i | 0.907627 | − | 0.330349i | 0.154322 | − | 0.988021i | \(-0.450681\pi\) |
0.753305 | + | 0.657672i | \(0.228459\pi\) | |||||||
\(350\) | −0.433461 | + | 2.45828i | −0.0231695 | + | 0.131400i | ||||
\(351\) | −14.2049 | + | 11.9194i | −0.758204 | + | 0.636209i | ||||
\(352\) | −1.41421 | + | 1.18666i | −0.0753777 | + | 0.0632494i | ||||
\(353\) | 4.89292 | − | 27.7491i | 0.260424 | − | 1.47694i | −0.521334 | − | 0.853353i | \(-0.674565\pi\) |
0.781757 | − | 0.623583i | \(-0.214324\pi\) | |||||||
\(354\) | −8.06449 | + | 2.93523i | −0.428623 | + | 0.156006i | ||||
\(355\) | 9.67755 | − | 3.52234i | 0.513631 | − | 0.186946i | ||||
\(356\) | −3.86729 | − | 6.69834i | −0.204966 | − | 0.355012i | ||||
\(357\) | −1.90418 | − | 10.7991i | −0.100780 | − | 0.571550i | ||||
\(358\) | 9.34692 | + | 7.84300i | 0.494000 | + | 0.414515i | ||||
\(359\) | −10.5370 | + | 18.2506i | −0.556122 | + | 0.963231i | 0.441693 | + | 0.897166i | \(0.354378\pi\) |
−0.997815 | + | 0.0660652i | \(0.978955\pi\) | |||||||
\(360\) | −1.19375 | − | 2.06764i | −0.0629161 | − | 0.108974i | ||||
\(361\) | −0.613153 | + | 3.47736i | −0.0322712 | + | 0.183019i | ||||
\(362\) | 8.07252 | − | 13.9820i | 0.424282 | − | 0.734879i | ||||
\(363\) | −5.58323 | − | 2.03213i | −0.293044 | − | 0.106659i | ||||
\(364\) | 10.9780 | 0.575406 | ||||||||
\(365\) | −2.33039 | − | 0.848194i | −0.121978 | − | 0.0443965i | ||||
\(366\) | 1.93436 | + | 10.9703i | 0.101110 | + | 0.573425i | ||||
\(367\) | −10.7737 | + | 9.04019i | −0.562381 | + | 0.471894i | −0.879108 | − | 0.476623i | \(-0.841861\pi\) |
0.316726 | + | 0.948517i | \(0.397416\pi\) | |||||||
\(368\) | −4.42451 | − | 3.71261i | −0.230644 | − | 0.193533i | ||||
\(369\) | 18.8650 | 0.982075 | ||||||||
\(370\) | −1.20358 | − | 5.96250i | −0.0625711 | − | 0.309976i | ||||
\(371\) | 13.0652 | 0.678309 | ||||||||
\(372\) | −5.72688 | − | 4.80542i | −0.296925 | − | 0.249149i | ||||
\(373\) | −1.84689 | + | 1.54973i | −0.0956285 | + | 0.0802418i | −0.689349 | − | 0.724430i | \(-0.742103\pi\) |
0.593720 | + | 0.804672i | \(0.297659\pi\) | |||||||
\(374\) | 1.79943 | + | 10.2051i | 0.0930463 | + | 0.527692i | ||||
\(375\) | −0.735426 | − | 0.267673i | −0.0379772 | − | 0.0138226i | ||||
\(376\) | 6.95690 | 0.358774 | ||||||||
\(377\) | −17.0838 | − | 6.21801i | −0.879862 | − | 0.320244i | ||||
\(378\) | 5.26247 | − | 9.11487i | 0.270672 | − | 0.468818i | ||||
\(379\) | −4.51038 | + | 25.5796i | −0.231683 | + | 1.31394i | 0.617806 | + | 0.786331i | \(0.288022\pi\) |
−0.849489 | + | 0.527607i | \(0.823089\pi\) | |||||||
\(380\) | −1.96653 | − | 3.40613i | −0.100881 | − | 0.174731i | ||||
\(381\) | 7.72035 | − | 13.3720i | 0.395526 | − | 0.685071i | ||||
\(382\) | −0.777167 | − | 0.652121i | −0.0397633 | − | 0.0333654i | ||||
\(383\) | −2.50795 | − | 14.2233i | −0.128150 | − | 0.726775i | −0.979387 | − | 0.201993i | \(-0.935258\pi\) |
0.851237 | − | 0.524782i | \(-0.175853\pi\) | |||||||
\(384\) | 0.391312 | + | 0.677772i | 0.0199691 | + | 0.0345874i | ||||
\(385\) | 4.33038 | − | 1.57613i | 0.220697 | − | 0.0803270i | ||||
\(386\) | −23.4930 | + | 8.55076i | −1.19576 | + | 0.435222i | ||||
\(387\) | 2.34237 | − | 13.2842i | 0.119069 | − | 0.675275i | ||||
\(388\) | 10.1731 | − | 8.53624i | 0.516461 | − | 0.433362i | ||||
\(389\) | −11.1310 | + | 9.34001i | −0.564364 | + | 0.473557i | −0.879770 | − | 0.475399i | \(-0.842304\pi\) |
0.315406 | + | 0.948957i | \(0.397859\pi\) | |||||||
\(390\) | −0.597680 | + | 3.38961i | −0.0302647 | + | 0.171640i | ||||
\(391\) | −30.4650 | + | 11.0884i | −1.54068 | + | 0.560763i | ||||
\(392\) | 0.722605 | − | 0.263007i | 0.0364971 | − | 0.0132838i | ||||
\(393\) | 3.13521 | + | 5.43035i | 0.158151 | + | 0.273925i | ||||
\(394\) | −1.25486 | − | 7.11668i | −0.0632190 | − | 0.358533i | ||||
\(395\) | 8.91738 | + | 7.48257i | 0.448682 | + | 0.376489i | ||||
\(396\) | −2.20381 | + | 3.81711i | −0.110746 | + | 0.191817i | ||||
\(397\) | 13.9553 | + | 24.1714i | 0.700398 | + | 1.21313i | 0.968327 | + | 0.249687i | \(0.0803277\pi\) |
−0.267928 | + | 0.963439i | \(0.586339\pi\) | |||||||
\(398\) | 2.24082 | − | 12.7083i | 0.112322 | − | 0.637010i | ||||
\(399\) | 3.84179 | − | 6.65418i | 0.192330 | − | 0.333125i | ||||
\(400\) | −0.939693 | − | 0.342020i | −0.0469846 | − | 0.0171010i | ||||
\(401\) | −15.2321 | −0.760654 | −0.380327 | − | 0.924852i | \(-0.624188\pi\) | ||||
−0.380327 | + | 0.924852i | \(0.624188\pi\) | |||||||
\(402\) | −2.93125 | − | 1.06689i | −0.146198 | − | 0.0532116i | ||||
\(403\) | −7.29502 | − | 41.3721i | −0.363391 | − | 2.06089i | ||||
\(404\) | −9.29847 | + | 7.80235i | −0.462616 | + | 0.388181i | ||||
\(405\) | −2.95897 | − | 2.48287i | −0.147032 | − | 0.123375i | ||||
\(406\) | 10.3189 | 0.512119 | ||||||||
\(407\) | −8.42180 | + | 7.42802i | −0.417453 | + | 0.368193i | ||||
\(408\) | 4.39296 | 0.217484 | ||||||||
\(409\) | −10.8534 | − | 9.10710i | −0.536667 | − | 0.450317i | 0.333729 | − | 0.942669i | \(-0.391693\pi\) |
−0.870396 | + | 0.492352i | \(0.836137\pi\) | |||||||
\(410\) | 6.05297 | − | 5.07905i | 0.298935 | − | 0.250836i | ||||
\(411\) | −0.881923 | − | 5.00164i | −0.0435021 | − | 0.246713i | ||||
\(412\) | 4.89657 | + | 1.78220i | 0.241237 | + | 0.0878029i | ||||
\(413\) | 27.3727 | 1.34692 | ||||||||
\(414\) | −12.9581 | − | 4.71636i | −0.636855 | − | 0.231796i | ||||
\(415\) | −6.62726 | + | 11.4788i | −0.325320 | + | 0.563470i | ||||
\(416\) | −0.763687 | + | 4.33109i | −0.0374428 | + | 0.212349i | ||||
\(417\) | −0.463672 | − | 0.803104i | −0.0227061 | − | 0.0393282i | ||||
\(418\) | −3.63046 | + | 6.28814i | −0.177572 | + | 0.307563i | ||||
\(419\) | −1.60254 | − | 1.34469i | −0.0782891 | − | 0.0656923i | 0.602803 | − | 0.797890i | \(-0.294050\pi\) |
−0.681092 | + | 0.732197i | \(0.738495\pi\) | |||||||
\(420\) | −0.339237 | − | 1.92391i | −0.0165531 | − | 0.0938771i | ||||
\(421\) | 6.95195 | + | 12.0411i | 0.338817 | + | 0.586849i | 0.984211 | − | 0.177002i | \(-0.0566398\pi\) |
−0.645393 | + | 0.763850i | \(0.723307\pi\) | |||||||
\(422\) | −14.5152 | + | 5.28310i | −0.706589 | + | 0.257177i | ||||
\(423\) | 15.6079 | − | 5.68081i | 0.758882 | − | 0.276211i | ||||
\(424\) | −0.908877 | + | 5.15450i | −0.0441390 | + | 0.250325i | ||||
\(425\) | −4.29990 | + | 3.60804i | −0.208576 | + | 0.175016i | ||||
\(426\) | −6.17428 | + | 5.18084i | −0.299145 | + | 0.251012i | ||||
\(427\) | 6.16968 | − | 34.9900i | 0.298572 | − | 1.69328i | ||||
\(428\) | −0.125387 | + | 0.0456372i | −0.00606082 | + | 0.00220596i | ||||
\(429\) | 5.97097 | − | 2.17325i | 0.288281 | − | 0.104926i | ||||
\(430\) | −2.82495 | − | 4.89296i | −0.136231 | − | 0.235960i | ||||
\(431\) | −3.53312 | − | 20.0373i | −0.170184 | − | 0.965163i | −0.943557 | − | 0.331211i | \(-0.892543\pi\) |
0.773372 | − | 0.633952i | \(-0.218568\pi\) | |||||||
\(432\) | 3.22994 | + | 2.71024i | 0.155401 | + | 0.130397i | ||||
\(433\) | 13.1216 | − | 22.7274i | 0.630586 | − | 1.09221i | −0.356846 | − | 0.934163i | \(-0.616148\pi\) |
0.987432 | − | 0.158044i | \(-0.0505187\pi\) | |||||||
\(434\) | 11.9223 | + | 20.6500i | 0.572289 | + | 0.991234i | ||||
\(435\) | −0.561794 | + | 3.18609i | −0.0269360 | + | 0.152762i | ||||
\(436\) | 7.83801 | − | 13.5758i | 0.375373 | − | 0.650165i | ||||
\(437\) | −21.3466 | − | 7.76952i | −1.02115 | − | 0.371667i | ||||
\(438\) | 1.94087 | 0.0927384 | ||||||||
\(439\) | 28.7112 | + | 10.4500i | 1.37031 | + | 0.498753i | 0.919227 | − | 0.393728i | \(-0.128815\pi\) |
0.451085 | + | 0.892481i | \(0.351037\pi\) | |||||||
\(440\) | 0.320576 | + | 1.81808i | 0.0152829 | + | 0.0866734i | ||||
\(441\) | 1.40641 | − | 1.18012i | 0.0669720 | − | 0.0561962i | ||||
\(442\) | 18.9105 | + | 15.8678i | 0.899482 | + | 0.754755i | ||||
\(443\) | −8.52098 | −0.404844 | −0.202422 | − | 0.979298i | \(-0.564881\pi\) | ||||
−0.202422 | + | 0.979298i | \(0.564881\pi\) | |||||||
\(444\) | 2.48114 | + | 4.06281i | 0.117750 | + | 0.192812i | ||||
\(445\) | −7.73458 | −0.366654 | ||||||||
\(446\) | −6.19442 | − | 5.19774i | −0.293314 | − | 0.246120i | ||||
\(447\) | 2.38263 | − | 1.99927i | 0.112695 | − | 0.0945621i | ||||
\(448\) | −0.433461 | − | 2.45828i | −0.0204791 | − | 0.116143i | ||||
\(449\) | −4.26852 | − | 1.55361i | −0.201444 | − | 0.0733196i | 0.239328 | − | 0.970939i | \(-0.423073\pi\) |
−0.440772 | + | 0.897619i | \(0.645295\pi\) | |||||||
\(450\) | −2.38750 | −0.112548 | ||||||||
\(451\) | −13.7076 | − | 4.98915i | −0.645465 | − | 0.234930i | ||||
\(452\) | −1.55172 | + | 2.68766i | −0.0729869 | + | 0.126417i | ||||
\(453\) | 0.506619 | − | 2.87318i | 0.0238030 | − | 0.134994i | ||||
\(454\) | −2.19562 | − | 3.80292i | −0.103045 | − | 0.178480i | ||||
\(455\) | 5.48902 | − | 9.50726i | 0.257329 | − | 0.445707i | ||||
\(456\) | 2.35797 | + | 1.97857i | 0.110422 | + | 0.0926551i | ||||
\(457\) | 1.96843 | + | 11.1635i | 0.0920792 | + | 0.522207i | 0.995603 | + | 0.0936700i | \(0.0298599\pi\) |
−0.903524 | + | 0.428537i | \(0.859029\pi\) | |||||||
\(458\) | −11.1547 | − | 19.3206i | −0.521227 | − | 0.902791i | ||||
\(459\) | 22.2398 | − | 8.09462i | 1.03806 | − | 0.377824i | ||||
\(460\) | −5.42747 | + | 1.97544i | −0.253057 | + | 0.0921052i | ||||
\(461\) | −4.26627 | + | 24.1952i | −0.198700 | + | 1.12688i | 0.708351 | + | 0.705861i | \(0.249440\pi\) |
−0.907050 | + | 0.421022i | \(0.861672\pi\) | |||||||
\(462\) | −2.76278 | + | 2.31825i | −0.128536 | + | 0.107855i | ||||
\(463\) | −23.2747 | + | 19.5298i | −1.08167 | + | 0.907625i | −0.996058 | − | 0.0887036i | \(-0.971728\pi\) |
−0.0856077 | + | 0.996329i | \(0.527283\pi\) | |||||||
\(464\) | −0.717835 | + | 4.07104i | −0.0333246 | + | 0.188993i | ||||
\(465\) | −7.02505 | + | 2.55691i | −0.325779 | + | 0.118574i | ||||
\(466\) | 12.7978 | − | 4.65804i | 0.592849 | − | 0.215779i | ||||
\(467\) | −13.0696 | − | 22.6372i | −0.604788 | − | 1.04752i | −0.992085 | − | 0.125569i | \(-0.959924\pi\) |
0.387296 | − | 0.921955i | \(-0.373409\pi\) | |||||||
\(468\) | 1.82330 | + | 10.3405i | 0.0842822 | + | 0.477988i | ||||
\(469\) | 7.62163 | + | 6.39531i | 0.351934 | + | 0.295308i | ||||
\(470\) | 3.47845 | − | 6.02485i | 0.160449 | − | 0.277906i | ||||
\(471\) | −2.30189 | − | 3.98699i | −0.106065 | − | 0.183711i | ||||
\(472\) | −1.90418 | + | 10.7991i | −0.0876471 | + | 0.497071i | ||||
\(473\) | −5.21521 | + | 9.03301i | −0.239796 | + | 0.415338i | ||||
\(474\) | −8.56095 | − | 3.11593i | −0.393218 | − | 0.143119i | ||||
\(475\) | −3.93306 | −0.180461 | ||||||||
\(476\) | −13.1665 | − | 4.79221i | −0.603485 | − | 0.219650i | ||||
\(477\) | 2.16994 | + | 12.3064i | 0.0993549 | + | 0.563470i | ||||
\(478\) | −2.78694 | + | 2.33852i | −0.127472 | + | 0.106962i | ||||
\(479\) | 25.0459 | + | 21.0160i | 1.14438 | + | 0.960245i | 0.999573 | − | 0.0292155i | \(-0.00930091\pi\) |
0.144802 | + | 0.989461i | \(0.453745\pi\) | |||||||
\(480\) | 0.782624 | 0.0357217 | ||||||||
\(481\) | −3.99461 | + | 26.4515i | −0.182139 | + | 1.20608i | ||||
\(482\) | −20.3041 | −0.924826 | ||||||||
\(483\) | −8.64367 | − | 7.25290i | −0.393301 | − | 0.330018i | ||||
\(484\) | −5.81568 | + | 4.87994i | −0.264349 | + | 0.221815i | ||||
\(485\) | −2.30605 | − | 13.0783i | −0.104713 | − | 0.593854i | ||||
\(486\) | 14.7270 | + | 5.36020i | 0.668031 | + | 0.243143i | ||||
\(487\) | 27.2002 | 1.23256 | 0.616279 | − | 0.787528i | \(-0.288639\pi\) | ||||
0.616279 | + | 0.787528i | \(0.288639\pi\) | |||||||
\(488\) | 13.3752 | + | 4.86816i | 0.605465 | + | 0.220371i | ||||
\(489\) | −1.89004 | + | 3.27365i | −0.0854707 | + | 0.148040i | ||||
\(490\) | 0.133532 | − | 0.757298i | 0.00603236 | − | 0.0342112i | ||||
\(491\) | 0.222122 | + | 0.384726i | 0.0100242 | + | 0.0173625i | 0.870994 | − | 0.491294i | \(-0.163476\pi\) |
−0.860970 | + | 0.508656i | \(0.830142\pi\) | |||||||
\(492\) | −3.09199 | + | 5.35548i | −0.139398 | + | 0.241444i | ||||
\(493\) | 17.7751 | + | 14.9151i | 0.800551 | + | 0.671742i | ||||
\(494\) | 3.00363 | + | 17.0344i | 0.135140 | + | 0.766416i | ||||
\(495\) | 2.20381 | + | 3.81711i | 0.0990538 | + | 0.171566i | ||||
\(496\) | −8.97628 | + | 3.26710i | −0.403047 | + | 0.146697i | ||||
\(497\) | 24.1571 | − | 8.79247i | 1.08359 | − | 0.394396i | ||||
\(498\) | 1.80131 | − | 10.2157i | 0.0807185 | − | 0.457777i | ||||
\(499\) | −9.66142 | + | 8.10690i | −0.432505 | + | 0.362914i | −0.832896 | − | 0.553430i | \(-0.813319\pi\) |
0.400391 | + | 0.916344i | \(0.368874\pi\) | |||||||
\(500\) | −0.766044 | + | 0.642788i | −0.0342585 | + | 0.0287463i | ||||
\(501\) | 0.427921 | − | 2.42686i | 0.0191181 | − | 0.108424i | ||||
\(502\) | −11.9518 | + | 4.35009i | −0.533433 | + | 0.194154i | ||||
\(503\) | 10.5154 | − | 3.82730i | 0.468859 | − | 0.170651i | −0.0967764 | − | 0.995306i | \(-0.530853\pi\) |
0.565635 | + | 0.824655i | \(0.308631\pi\) | |||||||
\(504\) | −2.97984 | − | 5.16123i | −0.132733 | − | 0.229900i | ||||
\(505\) | 2.10779 | + | 11.9539i | 0.0937956 | + | 0.531941i | ||||
\(506\) | 8.16819 | + | 6.85393i | 0.363121 | + | 0.304694i | ||||
\(507\) | 2.48151 | − | 4.29811i | 0.110208 | − | 0.190886i | ||||
\(508\) | −9.86471 | − | 17.0862i | −0.437676 | − | 0.758076i | ||||
\(509\) | 2.25677 | − | 12.7988i | 0.100029 | − | 0.567295i | −0.893060 | − | 0.449937i | \(-0.851446\pi\) |
0.993090 | − | 0.117358i | \(-0.0374425\pi\) | |||||||
\(510\) | 2.19648 | − | 3.80442i | 0.0972618 | − | 0.168462i | ||||
\(511\) | −5.81713 | − | 2.11726i | −0.257335 | − | 0.0936622i | ||||
\(512\) | 1.00000 | 0.0441942 | ||||||||
\(513\) | 15.5832 | + | 5.67183i | 0.688016 | + | 0.250417i | ||||
\(514\) | 0.956651 | + | 5.42544i | 0.0421961 | + | 0.239306i | ||||
\(515\) | 3.99172 | − | 3.34945i | 0.175896 | − | 0.147594i | ||||
\(516\) | 3.38726 | + | 2.84225i | 0.149116 | + | 0.125123i | ||||
\(517\) | −12.8433 | −0.564847 | ||||||||
\(518\) | −3.00438 | − | 14.8836i | −0.132005 | − | 0.653948i | ||||
\(519\) | −14.1055 | −0.619161 | ||||||||
\(520\) | 3.36899 | + | 2.82692i | 0.147740 | + | 0.123968i | ||||
\(521\) | 9.15331 | − | 7.68054i | 0.401014 | − | 0.336491i | −0.419871 | − | 0.907584i | \(-0.637925\pi\) |
0.820885 | + | 0.571093i | \(0.193480\pi\) | |||||||
\(522\) | 1.71383 | + | 9.71961i | 0.0750123 | + | 0.425416i | ||||
\(523\) | −20.8462 | − | 7.58738i | −0.911539 | − | 0.331773i | −0.156672 | − | 0.987651i | \(-0.550077\pi\) |
−0.754867 | + | 0.655878i | \(0.772299\pi\) | |||||||
\(524\) | 8.01206 | 0.350008 | ||||||||
\(525\) | −1.83577 | − | 0.668166i | −0.0801196 | − | 0.0291612i | ||||
\(526\) | −13.0879 | + | 22.6690i | −0.570661 | + | 0.988413i | ||||
\(527\) | −9.31076 | + | 52.8040i | −0.405583 | + | 2.30018i | ||||
\(528\) | −0.722410 | − | 1.25125i | −0.0314388 | − | 0.0544537i | ||||
\(529\) | −5.17989 | + | 8.97183i | −0.225213 | + | 0.390080i | ||||
\(530\) | 4.00949 | + | 3.36436i | 0.174161 | + | 0.146138i | ||||
\(531\) | 4.54623 | + | 25.7830i | 0.197290 | + | 1.11889i | ||||
\(532\) | −4.90886 | − | 8.50239i | −0.212826 | − | 0.368626i | ||||
\(533\) | −32.6547 | + | 11.8853i | −1.41443 | + | 0.514811i | ||||
\(534\) | 5.68821 | − | 2.07034i | 0.246153 | − | 0.0895924i | ||||
\(535\) | −0.0231706 | + | 0.131407i | −0.00100175 | + | 0.00568122i | ||||
\(536\) | −3.05329 | + | 2.56202i | −0.131882 | + | 0.110662i | ||||
\(537\) | −7.31513 | + | 6.13812i | −0.315671 | + | 0.264879i | ||||
\(538\) | −3.58229 | + | 20.3162i | −0.154444 | + | 0.875893i | ||||
\(539\) | −1.33402 | + | 0.485543i | −0.0574602 | + | 0.0209138i | ||||
\(540\) | 3.96211 | − | 1.44209i | 0.170502 | − | 0.0620576i | ||||
\(541\) | 17.8740 | + | 30.9587i | 0.768465 | + | 1.33102i | 0.938395 | + | 0.345564i | \(0.112313\pi\) |
−0.169930 | + | 0.985456i | \(0.554354\pi\) | |||||||
\(542\) | 1.54075 | + | 8.73801i | 0.0661807 | + | 0.375330i | ||||
\(543\) | 9.67935 | + | 8.12194i | 0.415381 | + | 0.348546i | ||||
\(544\) | 2.80656 | − | 4.86110i | 0.120330 | − | 0.208418i | ||||
\(545\) | −7.83801 | − | 13.5758i | −0.335744 | − | 0.581525i | ||||
\(546\) | −1.49193 | + | 8.46115i | −0.0638487 | + | 0.362104i | ||||
\(547\) | 15.1908 | − | 26.3113i | 0.649514 | − | 1.12499i | −0.333726 | − | 0.942670i | \(-0.608306\pi\) |
0.983239 | − | 0.182320i | \(-0.0583607\pi\) | |||||||
\(548\) | −6.09808 | − | 2.21952i | −0.260497 | − | 0.0948132i | ||||
\(549\) | 33.9826 | 1.45034 | ||||||||
\(550\) | 1.73479 | + | 0.631411i | 0.0739716 | + | 0.0269235i | ||||
\(551\) | 2.82329 | + | 16.0117i | 0.120276 | + | 0.682120i | ||||
\(552\) | 3.46273 | − | 2.90558i | 0.147384 | − | 0.123670i | ||||
\(553\) | 22.2596 | + | 18.6780i | 0.946573 | + | 0.794269i | ||||
\(554\) | 6.66063 | 0.282983 | ||||||||
\(555\) | 4.75907 | − | 0.117329i | 0.202011 | − | 0.00498035i | ||||
\(556\) | −1.18492 | −0.0502517 | ||||||||
\(557\) | 7.22331 | + | 6.06108i | 0.306061 | + | 0.256816i | 0.782862 | − | 0.622196i | \(-0.213759\pi\) |
−0.476800 | + | 0.879012i | \(0.658204\pi\) | |||||||
\(558\) | −17.4706 | + | 14.6596i | −0.739590 | + | 0.620590i | ||||
\(559\) | 4.31476 | + | 24.4702i | 0.182495 | + | 1.03498i | ||||
\(560\) | −2.34566 | − | 0.853751i | −0.0991223 | − | 0.0360776i | ||||
\(561\) | −8.10994 | −0.342402 | ||||||||
\(562\) | 11.9994 | + | 4.36742i | 0.506164 | + | 0.184229i | ||||
\(563\) | −2.68033 | + | 4.64248i | −0.112963 | + | 0.195657i | −0.916963 | − | 0.398971i | \(-0.869367\pi\) |
0.804001 | + | 0.594628i | \(0.202701\pi\) | |||||||
\(564\) | −0.945450 | + | 5.36192i | −0.0398106 | + | 0.225777i | ||||
\(565\) | 1.55172 | + | 2.68766i | 0.0652814 | + | 0.113071i | ||||
\(566\) | 12.3540 | − | 21.3978i | 0.519277 | − | 0.899415i | ||||
\(567\) | −7.38617 | − | 6.19774i | −0.310190 | − | 0.260280i | ||||
\(568\) | 1.78834 | + | 10.1422i | 0.0750370 | + | 0.425556i | ||||
\(569\) | 0.619881 | + | 1.07366i | 0.0259868 | + | 0.0450104i | 0.878726 | − | 0.477326i | \(-0.158394\pi\) |
−0.852740 | + | 0.522336i | \(0.825061\pi\) | |||||||
\(570\) | 2.89248 | − | 1.05278i | 0.121153 | − | 0.0440959i | ||||
\(571\) | 4.48373 | − | 1.63195i | 0.187638 | − | 0.0682948i | −0.246492 | − | 0.969145i | \(-0.579278\pi\) |
0.434130 | + | 0.900850i | \(0.357056\pi\) | |||||||
\(572\) | 1.40986 | − | 7.99571i | 0.0589492 | − | 0.334318i | ||||
\(573\) | 0.608230 | − | 0.510365i | 0.0254092 | − | 0.0213208i | ||||
\(574\) | 15.1094 | − | 12.6783i | 0.630655 | − | 0.529183i | ||||
\(575\) | −1.00296 | + | 5.68805i | −0.0418262 | + | 0.237208i | ||||
\(576\) | 2.24352 | − | 0.816573i | 0.0934798 | − | 0.0340239i | ||||
\(577\) | 16.0584 | − | 5.84478i | 0.668520 | − | 0.243322i | 0.0146097 | − | 0.999893i | \(-0.495349\pi\) |
0.653911 | + | 0.756572i | \(0.273127\pi\) | |||||||
\(578\) | −7.25355 | − | 12.5635i | −0.301708 | − | 0.522574i | ||||
\(579\) | −3.39763 | − | 19.2689i | −0.141201 | − | 0.800789i | ||||
\(580\) | 3.16671 | + | 2.65718i | 0.131490 | + | 0.110334i | ||||
\(581\) | −16.5430 | + | 28.6533i | −0.686319 | + | 1.18874i | ||||
\(582\) | 5.19664 | + | 9.00084i | 0.215408 | + | 0.373097i | ||||
\(583\) | 1.67790 | − | 9.51584i | 0.0694915 | − | 0.394106i | ||||
\(584\) | 1.23998 | − | 2.14770i | 0.0513106 | − | 0.0888726i | ||||
\(585\) | 9.86676 | + | 3.59121i | 0.407940 | + | 0.148478i | ||||
\(586\) | −11.3373 | −0.468341 | ||||||||
\(587\) | −15.2454 | − | 5.54887i | −0.629245 | − | 0.229026i | 0.00765771 | − | 0.999971i | \(-0.497562\pi\) |
−0.636903 | + | 0.770944i | \(0.719785\pi\) | |||||||
\(588\) | 0.104505 | + | 0.592679i | 0.00430973 | + | 0.0244417i | ||||
\(589\) | −28.7803 | + | 24.1496i | −1.18587 | + | 0.995065i | ||||
\(590\) | 8.40025 | + | 7.04864i | 0.345833 | + | 0.290188i | ||||
\(591\) | 5.65560 | 0.232640 | ||||||||
\(592\) | 6.08091 | − | 0.149918i | 0.249924 | − | 0.00616158i | ||||
\(593\) | 39.9991 | 1.64257 | 0.821283 | − | 0.570521i | \(-0.193259\pi\) | ||||
0.821283 | + | 0.570521i | \(0.193259\pi\) | |||||||
\(594\) | −5.96286 | − | 5.00344i | −0.244659 | − | 0.205293i | ||||
\(595\) | −10.7334 | + | 9.00640i | −0.440027 | + | 0.369226i | ||||
\(596\) | −0.690114 | − | 3.91383i | −0.0282682 | − | 0.160317i | ||||
\(597\) | 9.49020 | + | 3.45415i | 0.388408 | + | 0.141369i | ||||
\(598\) | 25.4014 | 1.03874 | ||||||||
\(599\) | −16.1711 | − | 5.88580i | −0.660733 | − | 0.240487i | −0.0101804 | − | 0.999948i | \(-0.503241\pi\) |
−0.650553 | + | 0.759461i | \(0.725463\pi\) | |||||||
\(600\) | 0.391312 | − | 0.677772i | 0.0159752 | − | 0.0276699i | ||||
\(601\) | 1.75715 | − | 9.96529i | 0.0716756 | − | 0.406492i | −0.927769 | − | 0.373156i | \(-0.878276\pi\) |
0.999444 | − | 0.0333364i | \(-0.0106133\pi\) | |||||||
\(602\) | −7.05165 | − | 12.2138i | −0.287404 | − | 0.497798i | ||||
\(603\) | −4.75804 | + | 8.24116i | −0.193762 | + | 0.335606i | ||||
\(604\) | −2.85570 | − | 2.39622i | −0.116197 | − | 0.0975006i | ||||
\(605\) | 1.31831 | + | 7.47650i | 0.0535968 | + | 0.303963i | ||||
\(606\) | −4.74986 | − | 8.22700i | −0.192950 | − | 0.334199i | ||||
\(607\) | 2.85874 | − | 1.04050i | 0.116033 | − | 0.0422325i | −0.283351 | − | 0.959016i | \(-0.591446\pi\) |
0.399384 | + | 0.916784i | \(0.369224\pi\) | |||||||
\(608\) | 3.69587 | − | 1.34519i | 0.149887 | − | 0.0545545i | ||||
\(609\) | −1.40235 | + | 7.95313i | −0.0568262 | + | 0.322277i | ||||
\(610\) | 10.9035 | − | 9.14914i | 0.441471 | − | 0.370438i | ||||
\(611\) | −23.4377 | + | 19.6666i | −0.948187 | + | 0.795624i | ||||
\(612\) | 2.32711 | − | 13.1977i | 0.0940680 | − | 0.533486i | ||||
\(613\) | −17.4722 | + | 6.35936i | −0.705695 | + | 0.256852i | −0.669840 | − | 0.742505i | \(-0.733638\pi\) |
−0.0358545 | + | 0.999357i | \(0.511415\pi\) | |||||||
\(614\) | −1.10270 | + | 0.401351i | −0.0445014 | + | 0.0161972i | ||||
\(615\) | 3.09199 | + | 5.35548i | 0.124681 | + | 0.215954i | ||||
\(616\) | 0.800222 | + | 4.53828i | 0.0322418 | + | 0.182853i | ||||
\(617\) | 2.92981 | + | 2.45840i | 0.117950 | + | 0.0989716i | 0.699855 | − | 0.714285i | \(-0.253248\pi\) |
−0.581905 | + | 0.813257i | \(0.697692\pi\) | |||||||
\(618\) | −2.03905 | + | 3.53175i | −0.0820228 | + | 0.142068i | ||||
\(619\) | −1.90643 | − | 3.30203i | −0.0766258 | − | 0.132720i | 0.825166 | − | 0.564890i | \(-0.191081\pi\) |
−0.901792 | + | 0.432170i | \(0.857748\pi\) | |||||||
\(620\) | −1.65875 | + | 9.40724i | −0.0666170 | + | 0.377804i | ||||
\(621\) | 12.1765 | − | 21.0903i | 0.488626 | − | 0.846324i | ||||
\(622\) | 26.4929 | + | 9.64262i | 1.06227 | + | 0.386634i | ||||
\(623\) | −19.3071 | −0.773521 | ||||||||
\(624\) | −3.23433 | − | 1.17720i | −0.129477 | − | 0.0471257i | ||||
\(625\) | 0.173648 | + | 0.984808i | 0.00694593 | + | 0.0393923i | ||||
\(626\) | 22.1463 | − | 18.5830i | 0.885144 | − | 0.742724i | ||||
\(627\) | −4.35310 | − | 3.65268i | −0.173846 | − | 0.145874i | ||||
\(628\) | −5.88249 | −0.234737 | ||||||||
\(629\) | 16.3377 | − | 29.9807i | 0.651426 | − | 1.19541i | ||||
\(630\) | −5.95968 | −0.237439 | ||||||||
\(631\) | −18.1936 | − | 15.2662i | −0.724275 | − | 0.607739i | 0.204289 | − | 0.978911i | \(-0.434512\pi\) |
−0.928564 | + | 0.371172i | \(0.878956\pi\) | |||||||
\(632\) | −8.91738 | + | 7.48257i | −0.354714 | + | 0.297641i | ||||
\(633\) | −2.09923 | − | 11.9053i | −0.0834370 | − | 0.473195i | ||||
\(634\) | −26.9617 | − | 9.81325i | −1.07079 | − | 0.389734i | ||||
\(635\) | −19.7294 | −0.782938 | ||||||||
\(636\) | −3.84923 | − | 1.40101i | −0.152632 | − | 0.0555535i | ||||
\(637\) | −1.69095 | + | 2.92881i | −0.0669979 | + | 0.116044i | ||||
\(638\) | 1.32521 | − | 7.51564i | 0.0524656 | − | 0.297547i | ||||
\(639\) | 12.2940 | + | 21.2938i | 0.486343 | + | 0.842370i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | 36.0346 | + | 30.2366i | 1.42328 | + | 1.19428i | 0.949554 | + | 0.313604i | \(0.101536\pi\) |
0.473728 | + | 0.880671i | \(0.342908\pi\) | |||||||
\(642\) | −0.0181339 | − | 0.102842i | −0.000715687 | − | 0.00405886i | ||||
\(643\) | 1.47954 | + | 2.56263i | 0.0583472 | + | 0.101060i | 0.893724 | − | 0.448618i | \(-0.148084\pi\) |
−0.835376 | + | 0.549678i | \(0.814750\pi\) | |||||||
\(644\) | −13.5481 | + | 4.93109i | −0.533868 | + | 0.194312i | ||||
\(645\) | 4.15509 | − | 1.51233i | 0.163606 | − | 0.0595479i | ||||
\(646\) | 3.83359 | − | 21.7414i | 0.150831 | − | 0.855402i | ||||
\(647\) | −38.7635 | + | 32.5265i | −1.52395 | + | 1.27875i | −0.695814 | + | 0.718223i | \(0.744956\pi\) |
−0.828138 | + | 0.560525i | \(0.810600\pi\) | |||||||
\(648\) | 2.95897 | − | 2.48287i | 0.116239 | − | 0.0975362i | ||||
\(649\) | 3.51535 | − | 19.9366i | 0.137990 | − | 0.782578i | ||||
\(650\) | 4.13267 | − | 1.50417i | 0.162097 | − | 0.0589984i | ||||
\(651\) | −17.5359 | + | 6.38256i | −0.687288 | + | 0.250152i | ||||
\(652\) | 2.41501 | + | 4.18292i | 0.0945791 | + | 0.163816i | ||||
\(653\) | −3.44155 | − | 19.5180i | −0.134678 | − | 0.763799i | −0.975083 | − | 0.221840i | \(-0.928794\pi\) |
0.840405 | − | 0.541959i | \(-0.182317\pi\) | |||||||
\(654\) | 9.39817 | + | 7.88600i | 0.367497 | + | 0.308367i | ||||
\(655\) | 4.00603 | − | 6.93865i | 0.156528 | − | 0.271115i | ||||
\(656\) | 3.95080 | + | 6.84298i | 0.154253 | + | 0.267173i | ||||
\(657\) | 1.02815 | − | 5.83094i | 0.0401120 | − | 0.227487i | ||||
\(658\) | 8.68290 | − | 15.0392i | 0.338495 | − | 0.586290i | ||||
\(659\) | −16.9828 | − | 6.18122i | −0.661555 | − | 0.240786i | −0.0106474 | − | 0.999943i | \(-0.503389\pi\) |
−0.650908 | + | 0.759157i | \(0.725611\pi\) | |||||||
\(660\) | −1.44482 | −0.0562395 | ||||||||
\(661\) | −35.5437 | − | 12.9369i | −1.38249 | − | 0.503186i | −0.459559 | − | 0.888147i | \(-0.651992\pi\) |
−0.922933 | + | 0.384962i | \(0.874215\pi\) | |||||||
\(662\) | −3.37438 | − | 19.1371i | −0.131149 | − | 0.743783i | ||||
\(663\) | −14.7998 | + | 12.4185i | −0.574778 | + | 0.482296i | ||||
\(664\) | −10.1536 | − | 8.51985i | −0.394034 | − | 0.330634i | ||||
\(665\) | −9.81772 | −0.380715 | ||||||||
\(666\) | 13.5202 | − | 5.30185i | 0.523898 | − | 0.205443i | ||||
\(667\) | 23.8762 | 0.924491 | ||||||||
\(668\) | −2.41210 | − | 2.02399i | −0.0933268 | − | 0.0783105i | ||||
\(669\) | 4.84790 | − | 4.06787i | 0.187431 | − | 0.157273i | ||||
\(670\) | 0.692125 | + | 3.92524i | 0.0267391 | + | 0.151645i | ||||
\(671\) | −24.6922 | − | 8.98721i | −0.953231 | − | 0.346948i | ||||
\(672\) | 1.95359 | 0.0753612 | ||||||||
\(673\) | −6.19769 | − | 2.25577i | −0.238903 | − | 0.0869537i | 0.219794 | − | 0.975546i | \(-0.429462\pi\) |
−0.458697 | + | 0.888593i | \(0.651684\pi\) | |||||||
\(674\) | −1.90171 | + | 3.29386i | −0.0732511 | + | 0.126875i | ||||
\(675\) | 0.732168 | − | 4.15233i | 0.0281811 | − | 0.159823i | ||||
\(676\) | −3.17076 | − | 5.49192i | −0.121952 | − | 0.211228i | ||||
\(677\) | 15.5523 | − | 26.9373i | 0.597722 | − | 1.03529i | −0.395434 | − | 0.918494i | \(-0.629406\pi\) |
0.993156 | − | 0.116791i | \(-0.0372608\pi\) | |||||||
\(678\) | −1.86059 | − | 1.56122i | −0.0714556 | − | 0.0599583i | ||||
\(679\) | −5.75638 | − | 32.6460i | −0.220909 | − | 1.25284i | ||||
\(680\) | −2.80656 | − | 4.86110i | −0.107627 | − | 0.186415i | ||||
\(681\) | 3.22943 | − | 1.17541i | 0.123752 | − | 0.0450420i | ||||
\(682\) | 16.5713 | − | 6.03147i | 0.634549 | − | 0.230957i | ||||
\(683\) | −2.07619 | + | 11.7747i | −0.0794432 | + | 0.450545i | 0.918975 | + | 0.394316i | \(0.129019\pi\) |
−0.998418 | + | 0.0562283i | \(0.982093\pi\) | |||||||
\(684\) | 7.19330 | − | 6.03590i | 0.275043 | − | 0.230788i | ||||
\(685\) | −4.97120 | + | 4.17133i | −0.189940 | + | 0.159378i | ||||
\(686\) | 3.36755 | − | 19.0983i | 0.128574 | − | 0.729177i | ||||
\(687\) | 16.4070 | − | 5.97165i | 0.625965 | − | 0.227833i | ||||
\(688\) | 5.30918 | − | 1.93238i | 0.202410 | − | 0.0736714i | ||||
\(689\) | −11.5093 | − | 19.9348i | −0.438471 | − | 0.759454i | ||||
\(690\) | −0.784937 | − | 4.45160i | −0.0298820 | − | 0.169470i | ||||
\(691\) | −9.43280 | − | 7.91506i | −0.358841 | − | 0.301103i | 0.445488 | − | 0.895288i | \(-0.353030\pi\) |
−0.804328 | + | 0.594185i | \(0.797475\pi\) | |||||||
\(692\) | −9.01165 | + | 15.6086i | −0.342571 | + | 0.593351i | ||||
\(693\) | 5.50115 | + | 9.52827i | 0.208971 | + | 0.361949i | ||||
\(694\) | −3.39503 | + | 19.2542i | −0.128874 | + | 0.730879i | ||||
\(695\) | −0.592459 | + | 1.02617i | −0.0224732 | + | 0.0389248i | ||||
\(696\) | −3.04014 | − | 1.10652i | −0.115236 | − | 0.0419425i | ||||
\(697\) | 44.3526 | 1.67997 | ||||||||
\(698\) | 16.9559 | + | 6.17143i | 0.641789 | + | 0.233592i | ||||
\(699\) | 1.85086 | + | 10.4968i | 0.0700061 | + | 0.397024i | ||||
\(700\) | −1.91220 | + | 1.60453i | −0.0722744 | + | 0.0606454i | ||||
\(701\) | 8.79838 | + | 7.38272i | 0.332310 | + | 0.278841i | 0.793640 | − | 0.608387i | \(-0.208183\pi\) |
−0.461330 | + | 0.887229i | \(0.652628\pi\) | |||||||
\(702\) | −18.5432 | −0.699870 | ||||||||
\(703\) | 22.2726 | − | 8.73405i | 0.840027 | − | 0.329411i | ||||
\(704\) | −1.84612 | −0.0695784 | ||||||||
\(705\) | 4.17083 | + | 3.49974i | 0.157083 | + | 0.131808i | ||||
\(706\) | 21.5850 | − | 18.1119i | 0.812361 | − | 0.681652i | ||||
\(707\) | 5.26147 | + | 29.8393i | 0.197878 | + | 1.12222i | ||||
\(708\) | −8.06449 | − | 2.93523i | −0.303082 | − | 0.110313i | ||||
\(709\) | −7.56551 | −0.284129 | −0.142064 | − | 0.989857i | \(-0.545374\pi\) | ||||
−0.142064 | + | 0.989857i | \(0.545374\pi\) | |||||||
\(710\) | 9.67755 | + | 3.52234i | 0.363192 | + | 0.132191i | ||||
\(711\) | −13.8962 | + | 24.0690i | −0.521149 | + | 0.902656i | ||||
\(712\) | 1.34310 | − | 7.61708i | 0.0503346 | − | 0.285462i | ||||
\(713\) | 27.5862 | + | 47.7808i | 1.03311 | + | 1.78940i | ||||
\(714\) | 5.48286 | − | 9.49659i | 0.205191 | − | 0.355401i | ||||
\(715\) | −6.21956 | − | 5.21883i | −0.232598 | − | 0.195173i | ||||
\(716\) | 2.11878 | + | 12.0162i | 0.0791824 | + | 0.449065i | ||||
\(717\) | −1.42363 | − | 2.46580i | −0.0531665 | − | 0.0920870i | ||||
\(718\) | −19.8031 | + | 7.20774i | −0.739045 | + | 0.268990i | ||||
\(719\) | −29.0468 | + | 10.5722i | −1.08326 | + | 0.394275i | −0.821120 | − | 0.570755i | \(-0.806651\pi\) |
−0.262141 | + | 0.965030i | \(0.584428\pi\) | |||||||
\(720\) | 0.414585 | − | 2.35123i | 0.0154507 | − | 0.0876251i | ||||
\(721\) | 9.96413 | − | 8.36090i | 0.371084 | − | 0.311376i | ||||
\(722\) | −2.70491 | + | 2.26969i | −0.100666 | + | 0.0844690i | ||||
\(723\) | 2.75935 | − | 15.6491i | 0.102621 | − | 0.581995i | ||||
\(724\) | 15.1714 | − | 5.52193i | 0.563840 | − | 0.205221i | ||||
\(725\) | 3.88454 | − | 1.41386i | 0.144268 | − | 0.0525094i | ||||
\(726\) | −2.97077 | − | 5.14553i | −0.110256 | − | 0.190969i | ||||
\(727\) | 1.16881 | + | 6.62866i | 0.0433488 | + | 0.245843i | 0.998781 | − | 0.0493685i | \(-0.0157209\pi\) |
−0.955432 | + | 0.295212i | \(0.904610\pi\) | |||||||
\(728\) | 8.40967 | + | 7.05655i | 0.311683 | + | 0.261533i | ||||
\(729\) | −0.338722 | + | 0.586683i | −0.0125453 | + | 0.0217290i | ||||
\(730\) | −1.23998 | − | 2.14770i | −0.0458936 | − | 0.0794901i | ||||
\(731\) | 5.50701 | − | 31.2318i | 0.203684 | − | 1.15515i | ||||
\(732\) | −5.56975 | + | 9.64710i | −0.205864 | + | 0.356567i | ||||
\(733\) | 21.0247 | + | 7.65237i | 0.776566 | + | 0.282647i | 0.699740 | − | 0.714398i | \(-0.253299\pi\) |
0.0768259 | + | 0.997045i | \(0.475521\pi\) | |||||||
\(734\) | −14.0640 | −0.519113 | ||||||||
\(735\) | 0.565528 | + | 0.205835i | 0.0208598 | + | 0.00759235i | ||||
\(736\) | −1.00296 | − | 5.68805i | −0.0369694 | − | 0.209664i | ||||
\(737\) | 5.63675 | − | 4.72980i | 0.207632 | − | 0.174224i | ||||
\(738\) | 14.4515 | + | 12.1262i | 0.531966 | + | 0.446372i | ||||
\(739\) | 17.2865 | 0.635895 | 0.317947 | − | 0.948108i | \(-0.397006\pi\) | ||||
0.317947 | + | 0.948108i | \(0.397006\pi\) | |||||||
\(740\) | 2.91062 | − | 5.34119i | 0.106997 | − | 0.196346i | ||||
\(741\) | −13.5372 | −0.497302 | ||||||||
\(742\) | 10.0085 | + | 8.39812i | 0.367423 | + | 0.308305i | ||||
\(743\) | −24.7399 | + | 20.7593i | −0.907621 | + | 0.761584i | −0.971665 | − | 0.236363i | \(-0.924045\pi\) |
0.0640443 | + | 0.997947i | \(0.479600\pi\) | |||||||
\(744\) | −1.29818 | − | 7.36233i | −0.0475935 | − | 0.269916i | ||||
\(745\) | −3.73453 | − | 1.35926i | −0.136823 | − | 0.0497994i | ||||
\(746\) | −2.41095 | −0.0882710 | ||||||||
\(747\) | −29.7367 | − | 10.8233i | −1.08801 | − | 0.396004i | ||||
\(748\) | −5.18125 | + | 8.97419i | −0.189445 | + | 0.328129i | ||||
\(749\) | −0.0578385 | + | 0.328018i | −0.00211337 | + | 0.0119855i | ||||
\(750\) | −0.391312 | − | 0.677772i | −0.0142887 | − | 0.0247487i | ||||
\(751\) | 8.17649 | − | 14.1621i | 0.298364 | − | 0.516782i | −0.677398 | − | 0.735617i | \(-0.736892\pi\) |
0.975762 | + | 0.218835i | \(0.0702257\pi\) | |||||||
\(752\) | 5.32929 | + | 4.47181i | 0.194339 | + | 0.163070i | ||||
\(753\) | −1.72850 | − | 9.80282i | −0.0629901 | − | 0.357234i | ||||
\(754\) | −9.09012 | − | 15.7445i | −0.331043 | − | 0.573382i | ||||
\(755\) | −3.50303 | + | 1.27500i | −0.127488 | + | 0.0464020i | ||||
\(756\) | 9.89022 | − | 3.59974i | 0.359704 | − | 0.130921i | ||||
\(757\) | 3.22218 | − | 18.2739i | 0.117112 | − | 0.664177i | −0.868570 | − | 0.495566i | \(-0.834961\pi\) |
0.985683 | − | 0.168611i | \(-0.0539281\pi\) | |||||||
\(758\) | −19.8974 | + | 16.6959i | −0.722707 | + | 0.606423i | ||||
\(759\) | −6.39262 | + | 5.36405i | −0.232038 | + | 0.194703i | ||||
\(760\) | 0.682969 | − | 3.87331i | 0.0247739 | − | 0.140500i | ||||
\(761\) | −42.4002 | + | 15.4324i | −1.53701 | + | 0.559425i | −0.965325 | − | 0.261050i | \(-0.915931\pi\) |
−0.571682 | + | 0.820475i | \(0.693709\pi\) | |||||||
\(762\) | 14.5095 | − | 5.28103i | 0.525624 | − | 0.191312i | ||||
\(763\) | −19.5653 | − | 33.8880i | −0.708310 | − | 1.22683i | ||||
\(764\) | −0.176169 | − | 0.999107i | −0.00637359 | − | 0.0361464i | ||||
\(765\) | −10.2660 | − | 8.61420i | −0.371168 | − | 0.311447i | ||||
\(766\) | 7.22134 | − | 12.5077i | 0.260918 | − | 0.451923i | ||||
\(767\) | −24.1131 | − | 41.7651i | −0.870674 | − | 1.50805i | ||||
\(768\) | −0.135901 | + | 0.770734i | −0.00490391 | + | 0.0278115i | ||||
\(769\) | −15.3833 | + | 26.6446i | −0.554735 | + | 0.960829i | 0.443189 | + | 0.896428i | \(0.353847\pi\) |
−0.997924 | + | 0.0644010i | \(0.979486\pi\) | |||||||
\(770\) | 4.33038 | + | 1.57613i | 0.156056 | + | 0.0567997i | ||||
\(771\) | −4.31158 | −0.155278 | ||||||||
\(772\) | −23.4930 | − | 8.55076i | −0.845532 | − | 0.307748i | ||||
\(773\) | 0.134983 | + | 0.765527i | 0.00485500 | + | 0.0275341i | 0.987139 | − | 0.159864i | \(-0.0511056\pi\) |
−0.982284 | + | 0.187398i | \(0.939995\pi\) | |||||||
\(774\) | 10.3333 | − | 8.67066i | 0.371423 | − | 0.311660i | ||||
\(775\) | 7.31753 | + | 6.14014i | 0.262854 | + | 0.220560i | ||||
\(776\) | 13.2800 | 0.476726 | ||||||||
\(777\) | 11.8796 | − | 0.292877i | 0.426178 | − | 0.0105069i | ||||
\(778\) | −14.5305 | −0.520943 | ||||||||
\(779\) | 23.8067 | + | 19.9762i | 0.852964 | + | 0.715722i | ||||
\(780\) | −2.63665 | + | 2.21241i | −0.0944072 | + | 0.0792170i | ||||
\(781\) | −3.30149 | − | 18.7237i | −0.118137 | − | 0.669986i | ||||
\(782\) | −30.4650 | − | 11.0884i | −1.08943 | − | 0.396519i | ||||
\(783\) | −17.4299 | −0.622893 | ||||||||
\(784\) | 0.722605 | + | 0.263007i | 0.0258073 | + | 0.00939310i | ||||
\(785\) | −2.94124 | + | 5.09438i | −0.104978 | + | 0.181826i | ||||
\(786\) | −1.08885 | + | 6.17517i | −0.0388379 | + | 0.220261i | ||||
\(787\) | 17.0851 | + | 29.5922i | 0.609017 | + | 1.05485i | 0.991403 | + | 0.130845i | \(0.0417691\pi\) |
−0.382386 | + | 0.924003i | \(0.624898\pi\) | |||||||
\(788\) | 3.61323 | − | 6.25830i | 0.128716 | − | 0.222943i | ||||
\(789\) | −15.6931 | − | 13.1680i | −0.558688 | − | 0.468795i | ||||
\(790\) | 2.02141 | + | 11.4640i | 0.0719184 | + | 0.407869i | ||||
\(791\) | 3.87341 | + | 6.70894i | 0.137723 | + | 0.238543i | ||||
\(792\) | −4.14181 | + | 1.50749i | −0.147173 | + | 0.0535665i | ||||
\(793\) | −58.8226 | + | 21.4097i | −2.08885 | + | 0.760280i | ||||
\(794\) | −4.84664 | + | 27.4867i | −0.172001 | + | 0.975465i | ||||
\(795\) | −3.13792 | + | 2.63303i | −0.111291 | + | 0.0933839i | ||||
\(796\) | 9.88531 | − | 8.29476i | 0.350376 | − | 0.294000i | ||||
\(797\) | 3.06123 | − | 17.3611i | 0.108434 | − | 0.614962i | −0.881358 | − | 0.472448i | \(-0.843370\pi\) |
0.989793 | − | 0.142514i | \(-0.0455185\pi\) | |||||||
\(798\) | 7.22020 | − | 2.62794i | 0.255592 | − | 0.0930280i | ||||
\(799\) | 36.6949 | − | 13.3558i | 1.29817 | − | 0.472496i | ||||
\(800\) | −0.500000 | − | 0.866025i | −0.0176777 | − | 0.0306186i | ||||
\(801\) | −3.20664 | − | 18.1858i | −0.113301 | − | 0.642562i | ||||
\(802\) | −11.6684 | − | 9.79099i | −0.412027 | − | 0.345732i | ||||
\(803\) | −2.28915 | + | 3.96492i | −0.0807823 | + | 0.139919i | ||||
\(804\) | −1.55969 | − | 2.70146i | −0.0550059 | − | 0.0952731i | ||||
\(805\) | −2.50358 | + | 14.1985i | −0.0882396 | + | 0.500432i | ||||
\(806\) | 21.0052 | − | 36.3820i | 0.739875 | − | 1.28150i | ||||
\(807\) | −15.1715 | − | 5.52199i | −0.534063 | − | 0.194383i | ||||
\(808\) | −12.1383 | −0.427024 | ||||||||
\(809\) | −13.2772 | − | 4.83252i | −0.466803 | − | 0.169902i | 0.0979007 | − | 0.995196i | \(-0.468787\pi\) |
−0.564703 | + | 0.825294i | \(0.691009\pi\) | |||||||
\(810\) | −0.670743 | − | 3.80397i | −0.0235675 | − | 0.133658i | ||||
\(811\) | 32.7956 | − | 27.5188i | 1.15161 | − | 0.966316i | 0.151854 | − | 0.988403i | \(-0.451476\pi\) |
0.999756 | + | 0.0220873i | \(0.00703117\pi\) | |||||||
\(812\) | 7.90474 | + | 6.63287i | 0.277402 | + | 0.232768i | ||||
\(813\) | −6.94407 | −0.243539 | ||||||||
\(814\) | −11.2261 | + | 0.276766i | −0.393475 | + | 0.00970066i | ||||
\(815\) | 4.83002 | 0.169188 | ||||||||
\(816\) | 3.36520 | + | 2.82374i | 0.117806 | + | 0.0988507i | ||||
\(817\) | 17.0226 | − | 14.2837i | 0.595546 | − | 0.499722i | ||||
\(818\) | −2.46027 | − | 13.9529i | −0.0860214 | − | 0.487851i | ||||
\(819\) | 24.6294 | + | 8.96437i | 0.860621 | + | 0.313241i | ||||
\(820\) | 7.90159 | 0.275936 | ||||||||
\(821\) | −3.97597 | − | 1.44713i | −0.138762 | − | 0.0505053i | 0.271706 | − | 0.962380i | \(-0.412412\pi\) |
−0.410468 | + | 0.911875i | \(0.634635\pi\) | |||||||
\(822\) | 2.53940 | − | 4.39836i | 0.0885716 | − | 0.153411i | ||||
\(823\) | 0.966612 | − | 5.48193i | 0.0336940 | − | 0.191088i | −0.963315 | − | 0.268373i | \(-0.913514\pi\) |
0.997009 | + | 0.0772850i | \(0.0246251\pi\) | |||||||
\(824\) | 2.60541 | + | 4.51270i | 0.0907637 | + | 0.157207i | ||||
\(825\) | −0.722410 | + | 1.25125i | −0.0251511 | + | 0.0435629i | ||||
\(826\) | 20.9687 | + | 17.5948i | 0.729595 | + | 0.612203i | ||||
\(827\) | −5.75492 | − | 32.6378i | −0.200118 | − | 1.13493i | −0.904939 | − | 0.425541i | \(-0.860084\pi\) |
0.704821 | − | 0.709385i | \(-0.251027\pi\) | |||||||
\(828\) | −6.89485 | − | 11.9422i | −0.239613 | − | 0.415021i | ||||
\(829\) | 32.9666 | − | 11.9989i | 1.14498 | − | 0.416738i | 0.301270 | − | 0.953539i | \(-0.402590\pi\) |
0.843709 | + | 0.536801i | \(0.180367\pi\) | |||||||
\(830\) | −12.4552 | + | 4.53332i | −0.432326 | + | 0.157354i | ||||
\(831\) | −0.905188 | + | 5.13357i | −0.0314006 | + | 0.178082i | ||||
\(832\) | −3.36899 | + | 2.82692i | −0.116799 | + | 0.0980057i | ||||
\(833\) | 3.30654 | − | 2.77451i | 0.114565 | − | 0.0961312i | ||||
\(834\) | 0.161032 | − | 0.913256i | 0.00557607 | − | 0.0316235i | ||||
\(835\) | −2.95887 | + | 1.07694i | −0.102396 | + | 0.0372691i | ||||
\(836\) | −6.82303 | + | 2.48338i | −0.235979 | + | 0.0858895i | ||||
\(837\) | −20.1382 | − | 34.8804i | −0.696079 | − | 1.20564i | ||||
\(838\) | −0.363266 | − | 2.06018i | −0.0125488 | − | 0.0711678i | ||||
\(839\) | −28.7940 | − | 24.1610i | −0.994080 | − | 0.834132i | −0.00792640 | − | 0.999969i | \(-0.502523\pi\) |
−0.986153 | + | 0.165837i | \(0.946968\pi\) | |||||||
\(840\) | 0.976793 | − | 1.69186i | 0.0337026 | − | 0.0583746i | ||||
\(841\) | 5.95566 | + | 10.3155i | 0.205368 | + | 0.355707i | ||||
\(842\) | −2.41439 | + | 13.6927i | −0.0832052 | + | 0.471880i | ||||
\(843\) | −4.99685 | + | 8.65480i | −0.172101 | + | 0.298087i | ||||
\(844\) | −14.5152 | − | 5.28310i | −0.499634 | − | 0.181852i | ||||
\(845\) | −6.34152 | −0.218155 | ||||||||
\(846\) | 15.6079 | + | 5.68081i | 0.536611 | + | 0.195310i | ||||
\(847\) | 3.29076 | + | 18.6628i | 0.113072 | + | 0.641263i | ||||
\(848\) | −4.00949 | + | 3.36436i | −0.137686 | + | 0.115533i | ||||
\(849\) | 14.8131 | + | 12.4296i | 0.508383 | + | 0.426584i | ||||
\(850\) | −5.61312 | −0.192528 | ||||||||
\(851\) | −6.95163 | − | 34.4382i | −0.238299 | − | 1.18052i | ||||
\(852\) | −8.05995 | −0.276129 | ||||||||
\(853\) | 23.6394 | + | 19.8359i | 0.809399 | + | 0.679167i | 0.950464 | − | 0.310834i | \(-0.100608\pi\) |
−0.141065 | + | 0.990000i | \(0.545053\pi\) | |||||||
\(854\) | 27.2174 | − | 22.8381i | 0.931360 | − | 0.781504i | ||||
\(855\) | −1.63059 | − | 9.24753i | −0.0557650 | − | 0.316259i | ||||
\(856\) | −0.125387 | − | 0.0456372i | −0.00428565 | − | 0.00155985i | ||||
\(857\) | −51.5968 | −1.76251 | −0.881256 | − | 0.472639i | \(-0.843302\pi\) | ||||
−0.881256 | + | 0.472639i | \(0.843302\pi\) | |||||||
\(858\) | 5.97097 | + | 2.17325i | 0.203845 | + | 0.0741937i | ||||
\(859\) | 25.4073 | − | 44.0067i | 0.866885 | − | 1.50149i | 0.00172177 | − | 0.999999i | \(-0.499452\pi\) |
0.865163 | − | 0.501490i | \(-0.167215\pi\) | |||||||
\(860\) | 0.981096 | − | 5.56407i | 0.0334551 | − | 0.189733i | ||||
\(861\) | 7.71822 | + | 13.3684i | 0.263036 | + | 0.455592i | ||||
\(862\) | 10.1732 | − | 17.6205i | 0.346501 | − | 0.600157i | ||||
\(863\) | 4.84331 | + | 4.06402i | 0.164868 | + | 0.138341i | 0.721489 | − | 0.692426i | \(-0.243458\pi\) |
−0.556621 | + | 0.830767i | \(0.687902\pi\) | |||||||
\(864\) | 0.732168 | + | 4.15233i | 0.0249089 | + | 0.141265i | ||||
\(865\) | 9.01165 | + | 15.6086i | 0.306405 | + | 0.530709i | ||||
\(866\) | 24.6606 | − | 8.97573i | 0.838002 | − | 0.305008i | ||||
\(867\) | 10.6689 | − | 3.88316i | 0.362335 | − | 0.131879i | ||||
\(868\) | −4.14057 | + | 23.4824i | −0.140540 | + | 0.797043i | ||||
\(869\) | 16.4626 | − | 13.8137i | 0.558454 | − | 0.468599i | ||||
\(870\) | −2.47834 | + | 2.07958i | −0.0840237 | + | 0.0705042i | ||||
\(871\) | 3.04390 | − | 17.2628i | 0.103139 | − | 0.584928i | ||||
\(872\) | 14.7306 | − | 5.36152i | 0.498843 | − | 0.181564i | ||||
\(873\) | 29.7940 | − | 10.8441i | 1.00837 | − | 0.367018i | ||||
\(874\) | −11.3583 | − | 19.6731i | −0.384200 | − | 0.665453i | ||||
\(875\) | 0.433461 | + | 2.45828i | 0.0146536 | + | 0.0831050i | ||||
\(876\) | 1.48679 | + | 1.24757i | 0.0502341 | + | 0.0421514i | ||||
\(877\) | −29.0190 | + | 50.2624i | −0.979903 | + | 1.69724i | −0.317199 | + | 0.948359i | \(0.602742\pi\) |
−0.662703 | + | 0.748882i | \(0.730591\pi\) | |||||||
\(878\) | 15.2769 | + | 26.4604i | 0.515571 | + | 0.892996i | ||||
\(879\) | 1.54076 | − | 8.73806i | 0.0519684 | − | 0.294728i | ||||
\(880\) | −0.923061 | + | 1.59879i | −0.0311164 | + | 0.0538952i | ||||
\(881\) | −3.00680 | − | 1.09438i | −0.101302 | − | 0.0368707i | 0.290872 | − | 0.956762i | \(-0.406055\pi\) |
−0.392174 | + | 0.919891i | \(0.628277\pi\) | |||||||
\(882\) | 1.83594 | 0.0618193 | ||||||||
\(883\) | 26.1435 | + | 9.51545i | 0.879799 | + | 0.320221i | 0.742128 | − | 0.670258i | \(-0.233816\pi\) |
0.137670 | + | 0.990478i | \(0.456039\pi\) | |||||||
\(884\) | 4.28667 | + | 24.3109i | 0.144176 | + | 0.817664i | ||||
\(885\) | −6.57423 | + | 5.51644i | −0.220990 | + | 0.185433i | ||||
\(886\) | −6.52745 | − | 5.47718i | −0.219294 | − | 0.184009i | ||||
\(887\) | −33.0863 | −1.11093 | −0.555465 | − | 0.831540i | \(-0.687460\pi\) | ||||
−0.555465 | + | 0.831540i | \(0.687460\pi\) | |||||||
\(888\) | −0.710857 | + | 4.70714i | −0.0238548 | + | 0.157961i | ||||
\(889\) | −49.2486 | −1.65174 | ||||||||
\(890\) | −5.92503 | − | 4.97169i | −0.198608 | − | 0.166652i | ||||
\(891\) | −5.46261 | + | 4.58368i | −0.183004 | + | 0.153559i | ||||
\(892\) | −1.40416 | − | 7.96339i | −0.0470148 | − | 0.266634i | ||||
\(893\) | 25.7118 | + | 9.35833i | 0.860412 | + | 0.313164i | ||||
\(894\) | 3.11031 | 0.104024 | ||||||||
\(895\) | 11.4657 | + | 4.17317i | 0.383256 | + | 0.139494i | ||||
\(896\) | 1.24810 | − | 2.16177i | 0.0416961 | − | 0.0722198i | ||||
\(897\) | −3.45207 | + | 19.5777i | −0.115261 | + | 0.653680i | ||||
\(898\) | −2.27123 | − | 3.93389i | −0.0757920 | − | 0.131276i | ||||
\(899\) | 19.7440 | − | 34.1976i | 0.658499 | − | 1.14055i | ||||
\(900\) | −1.82893 | − | 1.53466i | −0.0609644 | − | 0.0511552i | ||||
\(901\) | 5.10164 | + | 28.9328i | 0.169960 | + | 0.963892i | ||||
\(902\) | −7.29365 | − | 12.6330i | −0.242852 | − | 0.420632i | ||||
\(903\) | 10.3719 | − | 3.77508i | 0.345156 | − | 0.125627i | ||||
\(904\) | −2.91628 | + | 1.06144i | −0.0969941 | + | 0.0353030i | ||||
\(905\) | 2.80356 | − | 15.8998i | 0.0931934 | − | 0.528526i | ||||
\(906\) | 2.23494 | − | 1.87534i | 0.0742508 | − | 0.0623038i | ||||
\(907\) | 27.9613 | − | 23.4624i | 0.928441 | − | 0.779055i | −0.0470956 | − | 0.998890i | \(-0.514997\pi\) |
0.975537 | + | 0.219836i | \(0.0705521\pi\) | |||||||
\(908\) | 0.762529 | − | 4.32452i | 0.0253054 | − | 0.143514i | ||||
\(909\) | −27.2325 | + | 9.91180i | −0.903244 | + | 0.328754i | ||||
\(910\) | 10.3160 | − | 3.75471i | 0.341972 | − | 0.124467i | ||||
\(911\) | 3.60682 | + | 6.24720i | 0.119499 | + | 0.206979i | 0.919569 | − | 0.392928i | \(-0.128538\pi\) |
−0.800070 | + | 0.599907i | \(0.795204\pi\) | |||||||
\(912\) | 0.534508 | + | 3.03135i | 0.0176993 | + | 0.100378i | ||||
\(913\) | 18.7447 | + | 15.7287i | 0.620359 | + | 0.520543i | ||||
\(914\) | −5.66787 | + | 9.81703i | −0.187476 | + | 0.324719i | ||||
\(915\) | 5.56975 | + | 9.64710i | 0.184130 | + | 0.318923i | ||||
\(916\) | 3.87400 | − | 21.9705i | 0.128001 | − | 0.725927i | ||||
\(917\) | 9.99985 | − | 17.3203i | 0.330224 | − | 0.571965i | ||||
\(918\) | 22.2398 | + | 8.09462i | 0.734022 | + | 0.267162i | ||||
\(919\) | −28.4683 | −0.939081 | −0.469541 | − | 0.882911i | \(-0.655580\pi\) | ||||
−0.469541 | + | 0.882911i | \(0.655580\pi\) | |||||||
\(920\) | −5.42747 | − | 1.97544i | −0.178938 | − | 0.0651282i | ||||
\(921\) | −0.159476 | − | 0.904434i | −0.00525492 | − | 0.0298021i | ||||
\(922\) | −18.8205 | + | 15.7923i | −0.619821 | + | 0.520092i | ||||
\(923\) | −34.6959 | − | 29.1134i | −1.14203 | − | 0.958278i | ||||
\(924\) | −3.60656 | −0.118647 | ||||||||
\(925\) | −3.17029 | − | 5.19127i | −0.104238 | − | 0.170688i | ||||
\(926\) | −30.3829 | −0.998445 | ||||||||
\(927\) | 9.53023 | + | 7.99681i | 0.313014 | + | 0.262650i | ||||
\(928\) | −3.16671 | + | 2.65718i | −0.103952 | + | 0.0872263i | ||||
\(929\) | −0.750274 | − | 4.25502i | −0.0246157 | − | 0.139603i | 0.970023 | − | 0.243013i | \(-0.0781357\pi\) |
−0.994639 | + | 0.103410i | \(0.967025\pi\) | |||||||
\(930\) | −7.02505 | − | 2.55691i | −0.230361 | − | 0.0838444i | ||||
\(931\) | 3.02445 | 0.0991223 | ||||||||
\(932\) | 12.7978 | + | 4.65804i | 0.419207 | + | 0.152579i | ||||
\(933\) | −11.0323 | + | 19.1085i | −0.361182 | + | 0.625585i | ||||
\(934\) | 4.53902 | − | 25.7421i | 0.148521 | − | 0.842306i | ||||
\(935\) | 5.18125 | + | 8.97419i | 0.169445 | + | 0.293487i | ||||
\(936\) | −5.24999 | + | 9.09325i | −0.171601 | + | 0.297222i | ||||
\(937\) | 11.1703 | + | 9.37296i | 0.364916 | + | 0.306201i | 0.806747 | − | 0.590897i | \(-0.201226\pi\) |
−0.441830 | + | 0.897099i | \(0.645671\pi\) | |||||||
\(938\) | 1.72768 | + | 9.79818i | 0.0564109 | + | 0.319922i | ||||
\(939\) | 11.3128 | + | 19.5944i | 0.369179 | + | 0.639438i | ||||
\(940\) | 6.53734 | − | 2.37940i | 0.213225 | − | 0.0776074i | ||||
\(941\) | −32.2086 | + | 11.7230i | −1.04997 | + | 0.382157i | −0.808651 | − | 0.588289i | \(-0.799802\pi\) |
−0.241318 | + | 0.970446i | \(0.577580\pi\) | |||||||
\(942\) | 0.799437 | − | 4.53383i | 0.0260471 | − | 0.147720i | ||||
\(943\) | 34.9607 | − | 29.3355i | 1.13848 | − | 0.955296i | ||||
\(944\) | −8.40025 | + | 7.04864i | −0.273405 | + | 0.229414i | ||||
\(945\) | 1.82764 | − | 10.3650i | 0.0594531 | − | 0.337175i | ||||
\(946\) | −9.80139 | + | 3.56741i | −0.318671 | + | 0.115987i | ||||
\(947\) | 15.3614 | − | 5.59111i | 0.499180 | − | 0.181687i | −0.0801452 | − | 0.996783i | \(-0.525538\pi\) |
0.579325 | + | 0.815097i | \(0.303316\pi\) | |||||||
\(948\) | −4.55519 | − | 7.88982i | −0.147946 | − | 0.256249i | ||||
\(949\) | 1.89391 | + | 10.7409i | 0.0614789 | + | 0.348664i | ||||
\(950\) | −3.01290 | − | 2.52812i | −0.0977514 | − | 0.0820232i | ||||
\(951\) | 11.2275 | − | 19.4467i | 0.364078 | − | 0.630601i | ||||
\(952\) | −7.00574 | − | 12.1343i | −0.227057 | − | 0.393275i | ||||
\(953\) | −5.69259 | + | 32.2843i | −0.184401 | + | 1.04579i | 0.742321 | + | 0.670044i | \(0.233725\pi\) |
−0.926722 | + | 0.375746i | \(0.877386\pi\) | |||||||
\(954\) | −6.24811 | + | 10.8220i | −0.202290 | + | 0.350376i | ||||
\(955\) | −0.953337 | − | 0.346986i | −0.0308492 | − | 0.0112282i | ||||
\(956\) | −3.63810 | −0.117664 | ||||||||
\(957\) | 5.61246 | + | 2.04277i | 0.181425 | + | 0.0660334i | ||||
\(958\) | 5.67744 | + | 32.1984i | 0.183430 | + | 1.04028i | ||||
\(959\) | −12.4091 | + | 10.4125i | −0.400711 | + | 0.336237i | ||||
\(960\) | 0.599525 | + | 0.503061i | 0.0193496 | + | 0.0162362i | ||||
\(961\) | 60.2476 | 1.94347 | ||||||||
\(962\) | −20.0627 | + | 17.6953i | −0.646848 | + | 0.570519i | ||||
\(963\) | −0.318574 | −0.0102659 | ||||||||
\(964\) | −15.5538 | − | 13.0512i | −0.500955 | − | 0.420351i | ||||
\(965\) | −19.1517 | + | 16.0702i | −0.616514 | + | 0.517317i | ||||
\(966\) | −1.95936 | − | 11.1121i | −0.0630414 | − | 0.357526i | ||||
\(967\) | 45.7351 | + | 16.6462i | 1.47074 | + | 0.535306i | 0.948301 | − | 0.317371i | \(-0.102800\pi\) |
0.522439 | + | 0.852677i | \(0.325022\pi\) | |||||||
\(968\) | −7.59183 | −0.244011 | ||||||||
\(969\) | 16.2358 | + | 5.90935i | 0.521570 | + | 0.189836i | ||||
\(970\) | 6.64002 | − | 11.5009i | 0.213198 | − | 0.369270i | ||||
\(971\) | −9.04845 | + | 51.3163i | −0.290379 | + | 1.64682i | 0.395035 | + | 0.918666i | \(0.370732\pi\) |
−0.685414 | + | 0.728153i | \(0.740379\pi\) | |||||||
\(972\) | 7.83608 | + | 13.5725i | 0.251342 | + | 0.435338i | ||||
\(973\) | −1.47890 | + | 2.56152i | −0.0474112 | + | 0.0821187i | ||||
\(974\) | 20.8365 | + | 17.4839i | 0.667646 | + | 0.560222i | ||||
\(975\) | 0.597680 | + | 3.38961i | 0.0191411 | + | 0.108554i | ||||
\(976\) | 7.11677 | + | 12.3266i | 0.227802 | + | 0.394565i | ||||
\(977\) | 52.6890 | − | 19.1772i | 1.68567 | − | 0.613534i | 0.691601 | − | 0.722280i | \(-0.256906\pi\) |
0.994070 | + | 0.108746i | \(0.0346836\pi\) | |||||||
\(978\) | −3.55212 | + | 1.29287i | −0.113584 | + | 0.0413413i | ||||
\(979\) | −2.47952 | + | 14.0621i | −0.0792458 | + | 0.449425i | ||||
\(980\) | 0.589073 | − | 0.494291i | 0.0188173 | − | 0.0157896i | ||||
\(981\) | 28.6704 | − | 24.0573i | 0.915375 | − | 0.768090i | ||||
\(982\) | −0.0771421 | + | 0.437495i | −0.00246170 | + | 0.0139610i | ||||
\(983\) | −48.4200 | + | 17.6234i | −1.54436 | + | 0.562100i | −0.967086 | − | 0.254452i | \(-0.918105\pi\) |
−0.577272 | + | 0.816552i | \(0.695883\pi\) | |||||||
\(984\) | −5.81103 | + | 2.11504i | −0.185249 | + | 0.0674251i | ||||
\(985\) | −3.61323 | − | 6.25830i | −0.115127 | − | 0.199406i | ||||
\(986\) | 4.02929 | + | 22.8512i | 0.128319 | + | 0.727732i | ||||
\(987\) | 10.4112 | + | 8.73606i | 0.331393 | + | 0.278072i | ||||
\(988\) | −8.64861 | + | 14.9798i | −0.275149 | + | 0.476572i | ||||
\(989\) | −16.3163 | − | 28.2607i | −0.518830 | − | 0.898639i | ||||
\(990\) | −0.765375 | + | 4.34066i | −0.0243252 | + | 0.137955i | ||||
\(991\) | 14.6689 | − | 25.4072i | 0.465972 | − | 0.807087i | −0.533273 | − | 0.845943i | \(-0.679038\pi\) |
0.999245 | + | 0.0388564i | \(0.0123715\pi\) | |||||||
\(992\) | −8.97628 | − | 3.26710i | −0.284997 | − | 0.103731i | ||||
\(993\) | 15.2082 | 0.482617 | ||||||||
\(994\) | 24.1571 | + | 8.79247i | 0.766217 | + | 0.278880i | ||||
\(995\) | −2.24082 | − | 12.7083i | −0.0710387 | − | 0.402880i | ||||
\(996\) | 7.94642 | − | 6.66784i | 0.251792 | − | 0.211278i | ||||
\(997\) | 7.61728 | + | 6.39165i | 0.241242 | + | 0.202426i | 0.755390 | − | 0.655276i | \(-0.227447\pi\) |
−0.514148 | + | 0.857701i | \(0.671892\pi\) | |||||||
\(998\) | −12.6121 | −0.399229 | ||||||||
\(999\) | 5.07476 | + | 25.1402i | 0.160558 | + | 0.795401i |
(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 | 370.2.o.d.71.2 | ✓ | 24 | |
37.12 | even | 9 | inner | 370.2.o.d.271.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.o.d.71.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
370.2.o.d.271.2 | yes | 24 | 37.12 | even | 9 | inner |