Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [354,2,Mod(7,354)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(354, base_ring=CyclotomicField(58))
chi = DirichletCharacter(H, H._module([0, 18]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("354.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 354 = 2 \cdot 3 \cdot 59 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 354.e (of order \(29\), degree \(28\), 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: | \(2.82670423155\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{29})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{29}]$ |
Embedding invariants
Embedding label | 127.1 | ||
Character | \(\chi\) | \(=\) | 354.127 |
Dual form | 354.2.e.a.223.1 |
$q$-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 \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).
\(n\) | \(61\) | \(119\) |
\(\chi(n)\) | \(e\left(\frac{21}{29}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.647386 | − | 0.762162i | 0.457771 | − | 0.538930i | ||||
\(3\) | 0.796093 | + | 0.605174i | 0.459625 | + | 0.349397i | ||||
\(4\) | −0.161782 | − | 0.986827i | −0.0808910 | − | 0.493413i | ||||
\(5\) | −0.659445 | − | 1.24384i | −0.294913 | − | 0.556264i | 0.691135 | − | 0.722725i | \(-0.257111\pi\) |
−0.986048 | + | 0.166461i | \(0.946766\pi\) | |||||||
\(6\) | 0.976621 | − | 0.214970i | 0.398704 | − | 0.0877613i | ||||
\(7\) | 1.04625 | + | 0.113786i | 0.395445 | + | 0.0430072i | 0.303682 | − | 0.952774i | \(-0.401784\pi\) |
0.0917635 | + | 0.995781i | \(0.470750\pi\) | |||||||
\(8\) | −0.856857 | − | 0.515554i | −0.302945 | − | 0.182276i | ||||
\(9\) | 0.267528 | + | 0.963550i | 0.0891761 | + | 0.321183i | ||||
\(10\) | −1.37493 | − | 0.302644i | −0.434790 | − | 0.0957045i | ||||
\(11\) | 4.13316 | + | 1.39262i | 1.24619 | + | 0.419892i | 0.863672 | − | 0.504055i | \(-0.168159\pi\) |
0.382522 | + | 0.923946i | \(0.375056\pi\) | |||||||
\(12\) | 0.468408 | − | 0.883512i | 0.135218 | − | 0.255048i | ||||
\(13\) | 1.87032 | − | 6.73628i | 0.518733 | − | 1.86831i | 0.0231756 | − | 0.999731i | \(-0.492622\pi\) |
0.495557 | − | 0.868575i | \(-0.334964\pi\) | |||||||
\(14\) | 0.764051 | − | 0.723748i | 0.204201 | − | 0.193430i | ||||
\(15\) | 0.227763 | − | 1.38929i | 0.0588082 | − | 0.358714i | ||||
\(16\) | −0.947653 | + | 0.319302i | −0.236913 | + | 0.0798254i | ||||
\(17\) | −0.401429 | + | 0.0436581i | −0.0973609 | + | 0.0105886i | −0.156670 | − | 0.987651i | \(-0.550076\pi\) |
0.0593089 | + | 0.998240i | \(0.481110\pi\) | |||||||
\(18\) | 0.907575 | + | 0.419889i | 0.213918 | + | 0.0989688i | ||||
\(19\) | −0.0140881 | + | 0.259841i | −0.00323204 | + | 0.0596115i | −0.999704 | − | 0.0243090i | \(-0.992261\pi\) |
0.996472 | + | 0.0839205i | \(0.0267442\pi\) | |||||||
\(20\) | −1.12077 | + | 0.851989i | −0.250612 | + | 0.190511i | ||||
\(21\) | 0.764051 | + | 0.723748i | 0.166730 | + | 0.157935i | ||||
\(22\) | 3.73715 | − | 2.24857i | 0.796764 | − | 0.479397i | ||||
\(23\) | −8.04980 | + | 3.72423i | −1.67850 | + | 0.776556i | −0.679416 | + | 0.733754i | \(0.737767\pi\) |
−0.999084 | + | 0.0428028i | \(0.986371\pi\) | |||||||
\(24\) | −0.370138 | − | 0.928977i | −0.0755541 | − | 0.189627i | ||||
\(25\) | 1.69365 | − | 2.49795i | 0.338731 | − | 0.499590i | ||||
\(26\) | −3.92332 | − | 5.78646i | −0.769426 | − | 1.13482i | ||||
\(27\) | −0.370138 | + | 0.928977i | −0.0712331 | + | 0.178782i | ||||
\(28\) | −0.0569768 | − | 1.05088i | −0.0107676 | − | 0.198597i | ||||
\(29\) | 2.38522 | + | 2.80809i | 0.442923 | + | 0.521450i | 0.937642 | − | 0.347604i | \(-0.113005\pi\) |
−0.494718 | + | 0.869054i | \(0.664729\pi\) | |||||||
\(30\) | −0.911417 | − | 1.07300i | −0.166401 | − | 0.195903i | ||||
\(31\) | 0.218536 | + | 4.03066i | 0.0392502 | + | 0.723927i | 0.950244 | + | 0.311507i | \(0.100834\pi\) |
−0.910994 | + | 0.412420i | \(0.864684\pi\) | |||||||
\(32\) | −0.370138 | + | 0.928977i | −0.0654318 | + | 0.164221i | ||||
\(33\) | 2.44760 | + | 3.60994i | 0.426072 | + | 0.628409i | ||||
\(34\) | −0.226605 | + | 0.334218i | −0.0388625 | + | 0.0573179i | ||||
\(35\) | −0.548411 | − | 1.37641i | −0.0926983 | − | 0.232655i | ||||
\(36\) | 0.907575 | − | 0.419889i | 0.151263 | − | 0.0699815i | ||||
\(37\) | −8.56513 | + | 5.15347i | −1.40810 | + | 0.847225i | −0.997900 | − | 0.0647718i | \(-0.979368\pi\) |
−0.410198 | + | 0.911996i | \(0.634540\pi\) | |||||||
\(38\) | 0.188920 | + | 0.178955i | 0.0306469 | + | 0.0290303i | ||||
\(39\) | 5.56557 | − | 4.23083i | 0.891204 | − | 0.677476i | ||||
\(40\) | −0.0762190 | + | 1.40578i | −0.0120513 | + | 0.222273i | ||||
\(41\) | 8.44149 | + | 3.90545i | 1.31834 | + | 0.609929i | 0.947793 | − | 0.318885i | \(-0.103308\pi\) |
0.370546 | + | 0.928814i | \(0.379170\pi\) | |||||||
\(42\) | 1.04625 | − | 0.113786i | 0.161440 | − | 0.0175576i | ||||
\(43\) | 6.46206 | − | 2.17732i | 0.985455 | − | 0.332038i | 0.219980 | − | 0.975504i | \(-0.429401\pi\) |
0.765475 | + | 0.643466i | \(0.222504\pi\) | |||||||
\(44\) | 0.705607 | − | 4.30401i | 0.106374 | − | 0.648854i | ||||
\(45\) | 1.02209 | − | 0.968171i | 0.152364 | − | 0.144326i | ||||
\(46\) | −2.37286 | + | 8.54627i | −0.349859 | + | 1.26008i | ||||
\(47\) | −3.50327 | + | 6.60788i | −0.511005 | + | 0.963858i | 0.484996 | + | 0.874516i | \(0.338821\pi\) |
−0.996001 | + | 0.0893414i | \(0.971524\pi\) | |||||||
\(48\) | −0.947653 | − | 0.319302i | −0.136782 | − | 0.0460872i | ||||
\(49\) | −5.75465 | − | 1.26670i | −0.822093 | − | 0.180956i | ||||
\(50\) | −0.807396 | − | 2.90798i | −0.114183 | − | 0.411250i | ||||
\(51\) | −0.345996 | − | 0.208179i | −0.0484491 | − | 0.0291509i | ||||
\(52\) | −6.95012 | − | 0.755871i | −0.963808 | − | 0.104820i | ||||
\(53\) | −13.8581 | + | 3.05040i | −1.90356 | + | 0.419005i | −0.999956 | − | 0.00936302i | \(-0.997020\pi\) |
−0.903604 | + | 0.428368i | \(0.859089\pi\) | |||||||
\(54\) | 0.468408 | + | 0.883512i | 0.0637423 | + | 0.120231i | ||||
\(55\) | −0.993382 | − | 6.05936i | −0.133948 | − | 0.817044i | ||||
\(56\) | −0.837823 | − | 0.636897i | −0.111959 | − | 0.0851089i | ||||
\(57\) | −0.168464 | + | 0.198331i | −0.0223136 | + | 0.0262696i | ||||
\(58\) | 3.68438 | 0.483783 | ||||||||
\(59\) | −2.82052 | − | 7.14455i | −0.367201 | − | 0.930142i | ||||
\(60\) | −1.40784 | −0.181751 | ||||||||
\(61\) | 1.58472 | − | 1.86568i | 0.202903 | − | 0.238875i | −0.651294 | − | 0.758825i | \(-0.725774\pi\) |
0.854197 | + | 0.519950i | \(0.174049\pi\) | |||||||
\(62\) | 3.21349 | + | 2.44283i | 0.408114 | + | 0.310240i | ||||
\(63\) | 0.170262 | + | 1.03855i | 0.0214510 | + | 0.130846i | ||||
\(64\) | 0.468408 | + | 0.883512i | 0.0585511 | + | 0.110439i | ||||
\(65\) | −9.61225 | + | 2.11582i | −1.19225 | + | 0.262435i | ||||
\(66\) | 4.33590 | + | 0.471557i | 0.533712 | + | 0.0580447i | ||||
\(67\) | 11.2745 | + | 6.78367i | 1.37741 | + | 0.828757i | 0.995437 | − | 0.0954183i | \(-0.0304189\pi\) |
0.381968 | + | 0.924176i | \(0.375246\pi\) | |||||||
\(68\) | 0.108027 | + | 0.389078i | 0.0131002 | + | 0.0471826i | ||||
\(69\) | −8.66220 | − | 1.90669i | −1.04281 | − | 0.229539i | ||||
\(70\) | −1.40408 | − | 0.473089i | −0.167820 | − | 0.0565450i | ||||
\(71\) | −5.60729 | + | 10.5765i | −0.665463 | + | 1.25520i | 0.289132 | + | 0.957289i | \(0.406633\pi\) |
−0.954595 | + | 0.297907i | \(0.903712\pi\) | |||||||
\(72\) | 0.267528 | − | 0.963550i | 0.0315285 | − | 0.113555i | ||||
\(73\) | −2.68921 | + | 2.54736i | −0.314748 | + | 0.298146i | −0.828722 | − | 0.559660i | \(-0.810932\pi\) |
0.513974 | + | 0.857806i | \(0.328173\pi\) | |||||||
\(74\) | −1.61717 | + | 9.86430i | −0.187992 | + | 1.14670i | ||||
\(75\) | 2.86000 | − | 0.963647i | 0.330245 | − | 0.111272i | ||||
\(76\) | 0.258697 | − | 0.0281350i | 0.0296746 | − | 0.00322730i | ||||
\(77\) | 4.16585 | + | 1.92733i | 0.474743 | + | 0.219639i | ||||
\(78\) | 0.378491 | − | 6.98085i | 0.0428556 | − | 0.790425i | ||||
\(79\) | 5.37891 | − | 4.08894i | 0.605174 | − | 0.460041i | −0.257169 | − | 0.966367i | \(-0.582790\pi\) |
0.862343 | + | 0.506325i | \(0.168996\pi\) | |||||||
\(80\) | 1.02209 | + | 0.968171i | 0.114273 | + | 0.108245i | ||||
\(81\) | −0.856857 | + | 0.515554i | −0.0952064 | + | 0.0572838i | ||||
\(82\) | 8.44149 | − | 3.90545i | 0.932207 | − | 0.431285i | ||||
\(83\) | −2.31074 | − | 5.79951i | −0.253636 | − | 0.636579i | 0.745930 | − | 0.666024i | \(-0.232005\pi\) |
−0.999566 | + | 0.0294452i | \(0.990626\pi\) | |||||||
\(84\) | 0.590604 | − | 0.871075i | 0.0644401 | − | 0.0950421i | ||||
\(85\) | 0.319024 | + | 0.470526i | 0.0346030 | + | 0.0510357i | ||||
\(86\) | 2.52398 | − | 6.33471i | 0.272167 | − | 0.683089i | ||||
\(87\) | 0.199468 | + | 3.67897i | 0.0213852 | + | 0.394427i | ||||
\(88\) | −2.82355 | − | 3.32414i | −0.300992 | − | 0.354355i | ||||
\(89\) | 0.778995 | + | 0.917104i | 0.0825733 | + | 0.0972128i | 0.801897 | − | 0.597462i | \(-0.203824\pi\) |
−0.719324 | + | 0.694675i | \(0.755548\pi\) | |||||||
\(90\) | −0.0762190 | − | 1.40578i | −0.00803418 | − | 0.148182i | ||||
\(91\) | 2.72332 | − | 6.83501i | 0.285481 | − | 0.716503i | ||||
\(92\) | 4.97749 | + | 7.34124i | 0.518939 | + | 0.765377i | ||||
\(93\) | −2.26527 | + | 3.34103i | −0.234898 | + | 0.346449i | ||||
\(94\) | 2.76830 | + | 6.94791i | 0.285528 | + | 0.716622i | ||||
\(95\) | 0.332492 | − | 0.153827i | 0.0341129 | − | 0.0157823i | ||||
\(96\) | −0.856857 | + | 0.515554i | −0.0874526 | + | 0.0526185i | ||||
\(97\) | −0.228792 | − | 0.216724i | −0.0232303 | − | 0.0220050i | 0.675996 | − | 0.736905i | \(-0.263714\pi\) |
−0.699227 | + | 0.714900i | \(0.746472\pi\) | |||||||
\(98\) | −4.69091 | + | 3.56594i | −0.473854 | + | 0.360214i | ||||
\(99\) | −0.236125 | + | 4.35507i | −0.0237315 | + | 0.437701i | ||||
\(100\) | −2.73905 | − | 1.26722i | −0.273905 | − | 0.126722i | ||||
\(101\) | 0.603470 | − | 0.0656313i | 0.0600475 | − | 0.00653056i | −0.0780459 | − | 0.996950i | \(-0.524868\pi\) |
0.138093 | + | 0.990419i | \(0.455903\pi\) | |||||||
\(102\) | −0.382659 | + | 0.128933i | −0.0378889 | + | 0.0127662i | ||||
\(103\) | 0.807591 | − | 4.92609i | 0.0795743 | − | 0.485382i | −0.916731 | − | 0.399504i | \(-0.869182\pi\) |
0.996306 | − | 0.0858778i | \(-0.0273695\pi\) | |||||||
\(104\) | −5.07551 | + | 4.80778i | −0.497695 | + | 0.471441i | ||||
\(105\) | 0.396380 | − | 1.42763i | 0.0386827 | − | 0.139323i | ||||
\(106\) | −6.64666 | + | 12.5369i | −0.645581 | + | 1.21769i | ||||
\(107\) | 5.36601 | + | 1.80802i | 0.518752 | + | 0.174788i | 0.566485 | − | 0.824072i | \(-0.308303\pi\) |
−0.0477328 | + | 0.998860i | \(0.515200\pi\) | |||||||
\(108\) | 0.976621 | + | 0.214970i | 0.0939754 | + | 0.0206855i | ||||
\(109\) | 2.57227 | + | 9.26447i | 0.246378 | + | 0.887375i | 0.978508 | + | 0.206210i | \(0.0661128\pi\) |
−0.732129 | + | 0.681166i | \(0.761473\pi\) | |||||||
\(110\) | −5.26132 | − | 3.16563i | −0.501647 | − | 0.301831i | ||||
\(111\) | −9.93738 | − | 1.08076i | −0.943215 | − | 0.102581i | ||||
\(112\) | −1.02781 | + | 0.226239i | −0.0971193 | + | 0.0213776i | ||||
\(113\) | −2.32827 | − | 4.39159i | −0.219025 | − | 0.413126i | 0.749513 | − | 0.661990i | \(-0.230288\pi\) |
−0.968538 | + | 0.248864i | \(0.919943\pi\) | |||||||
\(114\) | 0.0420993 | + | 0.256794i | 0.00394296 | + | 0.0240510i | ||||
\(115\) | 9.94076 | + | 7.55677i | 0.926981 | + | 0.704673i | ||||
\(116\) | 2.38522 | − | 2.80809i | 0.221462 | − | 0.260725i | ||||
\(117\) | 6.99110 | 0.646328 | ||||||||
\(118\) | −7.27128 | − | 2.47559i | −0.669375 | − | 0.227896i | ||||
\(119\) | −0.424963 | −0.0389563 | ||||||||
\(120\) | −0.911417 | + | 1.07300i | −0.0832006 | + | 0.0979513i | ||||
\(121\) | 6.38657 | + | 4.85494i | 0.580597 | + | 0.441358i | ||||
\(122\) | −0.396022 | − | 2.41563i | −0.0358541 | − | 0.218701i | ||||
\(123\) | 4.35674 | + | 8.21768i | 0.392834 | + | 0.740963i | ||||
\(124\) | 3.94220 | − | 0.867744i | 0.354020 | − | 0.0779258i | ||||
\(125\) | −11.2219 | − | 1.22045i | −1.00371 | − | 0.109161i | ||||
\(126\) | 0.901772 | + | 0.542578i | 0.0803363 | + | 0.0483367i | ||||
\(127\) | −3.19695 | − | 11.5144i | −0.283684 | − | 1.02174i | −0.958813 | − | 0.284037i | \(-0.908326\pi\) |
0.675130 | − | 0.737699i | \(-0.264088\pi\) | |||||||
\(128\) | 0.976621 | + | 0.214970i | 0.0863219 | + | 0.0190009i | ||||
\(129\) | 6.46206 | + | 2.17732i | 0.568953 | + | 0.191702i | ||||
\(130\) | −4.61024 | + | 8.69584i | −0.404345 | + | 0.762676i | ||||
\(131\) | −2.51689 | + | 9.06501i | −0.219901 | + | 0.792013i | 0.768461 | + | 0.639897i | \(0.221023\pi\) |
−0.988363 | + | 0.152117i | \(0.951391\pi\) | |||||||
\(132\) | 3.16640 | − | 2.99938i | 0.275600 | − | 0.261062i | ||||
\(133\) | −0.0443060 | + | 0.270255i | −0.00384182 | + | 0.0234341i | ||||
\(134\) | 12.4692 | − | 4.20138i | 1.07718 | − | 0.362944i | ||||
\(135\) | 1.39959 | − | 0.152214i | 0.120457 | − | 0.0131005i | ||||
\(136\) | 0.366476 | + | 0.169550i | 0.0314250 | + | 0.0145388i | ||||
\(137\) | 0.275556 | − | 5.08233i | 0.0235423 | − | 0.434213i | −0.962874 | − | 0.269950i | \(-0.912993\pi\) |
0.986417 | − | 0.164263i | \(-0.0525244\pi\) | |||||||
\(138\) | −7.06100 | + | 5.36763i | −0.601072 | + | 0.456923i | ||||
\(139\) | 5.27190 | + | 4.99381i | 0.447157 | + | 0.423570i | 0.877855 | − | 0.478926i | \(-0.158974\pi\) |
−0.430698 | + | 0.902496i | \(0.641733\pi\) | |||||||
\(140\) | −1.26955 | + | 0.763864i | −0.107297 | + | 0.0645583i | ||||
\(141\) | −6.78785 | + | 3.14039i | −0.571640 | + | 0.264469i | ||||
\(142\) | 4.43090 | + | 11.1207i | 0.371833 | + | 0.933230i | ||||
\(143\) | 17.1114 | − | 25.2374i | 1.43093 | − | 2.11046i | ||||
\(144\) | −0.561187 | − | 0.827689i | −0.0467656 | − | 0.0689741i | ||||
\(145\) | 1.91991 | − | 4.81862i | 0.159440 | − | 0.400165i | ||||
\(146\) | 0.200540 | + | 3.69874i | 0.0165968 | + | 0.306110i | ||||
\(147\) | −3.81467 | − | 4.49098i | −0.314629 | − | 0.370409i | ||||
\(148\) | 6.47126 | + | 7.61856i | 0.531934 | + | 0.626242i | ||||
\(149\) | −0.675142 | − | 12.4523i | −0.0553098 | − | 1.02013i | −0.886086 | − | 0.463522i | \(-0.846586\pi\) |
0.830776 | − | 0.556607i | \(-0.187897\pi\) | |||||||
\(150\) | 1.11707 | − | 2.80364i | 0.0912085 | − | 0.228916i | ||||
\(151\) | −10.7320 | − | 15.8285i | −0.873356 | − | 1.28810i | −0.956549 | − | 0.291571i | \(-0.905822\pi\) |
0.0831932 | − | 0.996533i | \(-0.473488\pi\) | |||||||
\(152\) | 0.146033 | − | 0.215383i | 0.0118449 | − | 0.0174699i | ||||
\(153\) | −0.149460 | − | 0.375117i | −0.0120832 | − | 0.0303264i | ||||
\(154\) | 4.16585 | − | 1.92733i | 0.335694 | − | 0.155309i | ||||
\(155\) | 4.86940 | − | 2.92982i | 0.391119 | − | 0.235329i | ||||
\(156\) | −5.07551 | − | 4.80778i | −0.406366 | − | 0.384930i | ||||
\(157\) | −5.46583 | + | 4.15502i | −0.436221 | + | 0.331607i | −0.800129 | − | 0.599828i | \(-0.795235\pi\) |
0.363908 | + | 0.931435i | \(0.381442\pi\) | |||||||
\(158\) | 0.365797 | − | 6.74672i | 0.0291012 | − | 0.536740i | ||||
\(159\) | −12.8784 | − | 5.95818i | −1.02132 | − | 0.472514i | ||||
\(160\) | 1.39959 | − | 0.152214i | 0.110647 | − | 0.0120336i | ||||
\(161\) | −8.84586 | + | 2.98052i | −0.697152 | + | 0.234898i | ||||
\(162\) | −0.161782 | + | 0.986827i | −0.0127108 | + | 0.0775324i | ||||
\(163\) | 2.73836 | − | 2.59391i | 0.214485 | − | 0.203171i | −0.572913 | − | 0.819616i | \(-0.694187\pi\) |
0.787397 | + | 0.616446i | \(0.211428\pi\) | |||||||
\(164\) | 2.48832 | − | 8.96212i | 0.194305 | − | 0.699824i | ||||
\(165\) | 2.87614 | − | 5.42498i | 0.223908 | − | 0.422335i | ||||
\(166\) | −5.91611 | − | 1.99337i | −0.459179 | − | 0.154715i | ||||
\(167\) | 13.7133 | + | 3.01852i | 1.06117 | + | 0.233580i | 0.711061 | − | 0.703130i | \(-0.248215\pi\) |
0.350105 | + | 0.936710i | \(0.386146\pi\) | |||||||
\(168\) | −0.281552 | − | 1.01406i | −0.0217222 | − | 0.0782363i | ||||
\(169\) | −30.7402 | − | 18.4958i | −2.36463 | − | 1.42275i | ||||
\(170\) | 0.565149 | + | 0.0614636i | 0.0433449 | + | 0.00471404i | ||||
\(171\) | −0.254138 | + | 0.0559401i | −0.0194344 | + | 0.00427784i | ||||
\(172\) | −3.19408 | − | 6.02468i | −0.243547 | − | 0.459378i | ||||
\(173\) | 1.44529 | + | 8.81585i | 0.109883 | + | 0.670257i | 0.983120 | + | 0.182961i | \(0.0585683\pi\) |
−0.873237 | + | 0.487296i | \(0.837983\pi\) | |||||||
\(174\) | 2.93311 | + | 2.22969i | 0.222358 | + | 0.169032i | ||||
\(175\) | 2.05622 | − | 2.42077i | 0.155435 | − | 0.182993i | ||||
\(176\) | −4.36147 | −0.328758 | ||||||||
\(177\) | 2.07830 | − | 7.39464i | 0.156215 | − | 0.555815i | ||||
\(178\) | 1.20329 | 0.0901906 | ||||||||
\(179\) | 5.82883 | − | 6.86223i | 0.435668 | − | 0.512907i | −0.499887 | − | 0.866091i | \(-0.666625\pi\) |
0.935554 | + | 0.353183i | \(0.114901\pi\) | |||||||
\(180\) | −1.12077 | − | 0.851989i | −0.0835374 | − | 0.0635035i | ||||
\(181\) | 0.112340 | + | 0.685242i | 0.00835014 | + | 0.0509336i | 0.990673 | − | 0.136261i | \(-0.0435087\pi\) |
−0.982323 | + | 0.187195i | \(0.940060\pi\) | |||||||
\(182\) | −3.44635 | − | 6.50050i | −0.255460 | − | 0.481849i | ||||
\(183\) | 2.39064 | − | 0.526221i | 0.176722 | − | 0.0388993i | ||||
\(184\) | 8.81757 | + | 0.958969i | 0.650040 | + | 0.0706961i | ||||
\(185\) | 12.0583 | + | 7.25526i | 0.886547 | + | 0.533417i | ||||
\(186\) | 1.07990 | + | 3.88944i | 0.0791820 | + | 0.285188i | ||||
\(187\) | −1.71997 | − | 0.378594i | −0.125777 | − | 0.0276855i | ||||
\(188\) | 7.08759 | + | 2.38809i | 0.516916 | + | 0.174169i | ||||
\(189\) | −0.492962 | + | 0.929825i | −0.0358577 | + | 0.0676348i | ||||
\(190\) | 0.0980094 | − | 0.352998i | 0.00711035 | − | 0.0256092i | ||||
\(191\) | 1.12704 | − | 1.06759i | 0.0815495 | − | 0.0772478i | −0.645839 | − | 0.763473i | \(-0.723492\pi\) |
0.727389 | + | 0.686226i | \(0.240734\pi\) | |||||||
\(192\) | −0.161782 | + | 0.986827i | −0.0116756 | + | 0.0712181i | ||||
\(193\) | −16.4848 | + | 5.55439i | −1.18660 | + | 0.399813i | −0.842281 | − | 0.539038i | \(-0.818788\pi\) |
−0.344323 | + | 0.938851i | \(0.611891\pi\) | |||||||
\(194\) | −0.313296 | + | 0.0340730i | −0.0224933 | + | 0.00244630i | ||||
\(195\) | −8.93268 | − | 4.13270i | −0.639683 | − | 0.295949i | ||||
\(196\) | −0.319009 | + | 5.88377i | −0.0227864 | + | 0.420270i | ||||
\(197\) | 14.0855 | − | 10.7075i | 1.00355 | − | 0.762879i | 0.0319453 | − | 0.999490i | \(-0.489830\pi\) |
0.971604 | + | 0.236611i | \(0.0760367\pi\) | |||||||
\(198\) | 3.16640 | + | 2.99938i | 0.225027 | + | 0.213156i | ||||
\(199\) | 21.5697 | − | 12.9781i | 1.52904 | − | 0.919991i | 0.531709 | − | 0.846927i | \(-0.321550\pi\) |
0.997327 | − | 0.0730638i | \(-0.0232777\pi\) | |||||||
\(200\) | −2.73905 | + | 1.26722i | −0.193680 | + | 0.0896059i | ||||
\(201\) | 4.87029 | + | 12.2235i | 0.343524 | + | 0.862179i | ||||
\(202\) | 0.340657 | − | 0.502431i | 0.0239685 | − | 0.0353509i | ||||
\(203\) | 2.17601 | + | 3.20937i | 0.152726 | + | 0.225254i | ||||
\(204\) | −0.149460 | + | 0.375117i | −0.0104643 | + | 0.0262635i | ||||
\(205\) | −0.708924 | − | 13.0753i | −0.0495134 | − | 0.913221i | ||||
\(206\) | −3.23165 | − | 3.80460i | −0.225160 | − | 0.265079i | ||||
\(207\) | −5.74203 | − | 6.76005i | −0.399099 | − | 0.469856i | ||||
\(208\) | 0.378491 | + | 6.98085i | 0.0262436 | + | 0.484035i | ||||
\(209\) | −0.420088 | + | 1.05434i | −0.0290581 | + | 0.0729304i | ||||
\(210\) | −0.831476 | − | 1.22634i | −0.0573773 | − | 0.0846252i | ||||
\(211\) | −8.53794 | + | 12.5925i | −0.587776 | + | 0.866904i | −0.999004 | − | 0.0446281i | \(-0.985790\pi\) |
0.411228 | + | 0.911533i | \(0.365100\pi\) | |||||||
\(212\) | 5.25222 | + | 13.1821i | 0.360724 | + | 0.905348i | ||||
\(213\) | −10.8645 | + | 5.02647i | −0.744425 | + | 0.344408i | ||||
\(214\) | 4.85189 | − | 2.91928i | 0.331668 | − | 0.199558i | ||||
\(215\) | −6.96962 | − | 6.60198i | −0.475324 | − | 0.450251i | ||||
\(216\) | 0.796093 | − | 0.605174i | 0.0541673 | − | 0.0411769i | ||||
\(217\) | −0.229991 | + | 4.24194i | −0.0156128 | + | 0.287961i | ||||
\(218\) | 8.72628 | + | 4.03721i | 0.591018 | + | 0.273434i | ||||
\(219\) | −3.68246 | + | 0.400491i | −0.248837 | + | 0.0270627i | ||||
\(220\) | −5.81883 | + | 1.96059i | −0.392305 | + | 0.132183i | ||||
\(221\) | −0.456708 | + | 2.78579i | −0.0307215 | + | 0.187393i | ||||
\(222\) | −7.25704 | + | 6.87423i | −0.487060 | + | 0.461368i | ||||
\(223\) | 5.37339 | − | 19.3532i | 0.359828 | − | 1.29599i | −0.533202 | − | 0.845988i | \(-0.679011\pi\) |
0.893030 | − | 0.449997i | \(-0.148575\pi\) | |||||||
\(224\) | −0.492962 | + | 0.929825i | −0.0329374 | + | 0.0621265i | ||||
\(225\) | 2.86000 | + | 0.963647i | 0.190667 | + | 0.0642431i | ||||
\(226\) | −4.85439 | − | 1.06853i | −0.322909 | − | 0.0710777i | ||||
\(227\) | −1.17893 | − | 4.24611i | −0.0782482 | − | 0.281824i | 0.914067 | − | 0.405564i | \(-0.132925\pi\) |
−0.992315 | + | 0.123740i | \(0.960511\pi\) | |||||||
\(228\) | 0.222973 | + | 0.134159i | 0.0147668 | + | 0.00888487i | ||||
\(229\) | 26.9740 | + | 2.93360i | 1.78249 | + | 0.193858i | 0.939147 | − | 0.343516i | \(-0.111618\pi\) |
0.843344 | + | 0.537374i | \(0.180584\pi\) | |||||||
\(230\) | 12.1950 | − | 2.68432i | 0.804114 | − | 0.176999i | ||||
\(231\) | 2.15004 | + | 4.05540i | 0.141462 | + | 0.266826i | ||||
\(232\) | −0.596066 | − | 3.63584i | −0.0391337 | − | 0.238705i | ||||
\(233\) | −1.79893 | − | 1.36751i | −0.117852 | − | 0.0895885i | 0.544588 | − | 0.838704i | \(-0.316686\pi\) |
−0.662440 | + | 0.749115i | \(0.730479\pi\) | |||||||
\(234\) | 4.52594 | − | 5.32835i | 0.295870 | − | 0.348325i | ||||
\(235\) | 10.5294 | 0.686861 | ||||||||
\(236\) | −6.59412 | + | 3.93923i | −0.429241 | + | 0.256422i | ||||
\(237\) | 6.75663 | 0.438890 | ||||||||
\(238\) | −0.275115 | + | 0.323891i | −0.0178331 | + | 0.0209947i | ||||
\(239\) | −12.9720 | − | 9.86106i | −0.839089 | − | 0.637859i | 0.0947702 | − | 0.995499i | \(-0.469788\pi\) |
−0.933860 | + | 0.357640i | \(0.883581\pi\) | |||||||
\(240\) | 0.227763 | + | 1.38929i | 0.0147021 | + | 0.0896786i | ||||
\(241\) | 0.202291 | + | 0.381562i | 0.0130307 | + | 0.0245786i | 0.889942 | − | 0.456074i | \(-0.150745\pi\) |
−0.876911 | + | 0.480652i | \(0.840400\pi\) | |||||||
\(242\) | 7.83483 | − | 1.72458i | 0.503642 | − | 0.110860i | ||||
\(243\) | −0.994138 | − | 0.108119i | −0.0637740 | − | 0.00693584i | ||||
\(244\) | −2.09748 | − | 1.26201i | −0.134277 | − | 0.0807920i | ||||
\(245\) | 2.21930 | + | 7.99321i | 0.141786 | + | 0.510667i | ||||
\(246\) | 9.08369 | + | 1.99947i | 0.579155 | + | 0.127482i | ||||
\(247\) | 1.72401 | + | 0.580886i | 0.109696 | + | 0.0369609i | ||||
\(248\) | 1.89077 | − | 3.56636i | 0.120064 | − | 0.226464i | ||||
\(249\) | 1.67015 | − | 6.01535i | 0.105842 | − | 0.381207i | ||||
\(250\) | −8.19507 | + | 7.76278i | −0.518302 | + | 0.490961i | ||||
\(251\) | 1.70989 | − | 10.4299i | 0.107927 | − | 0.658328i | −0.876347 | − | 0.481681i | \(-0.840027\pi\) |
0.984274 | − | 0.176647i | \(-0.0565252\pi\) | |||||||
\(252\) | 0.997328 | − | 0.336039i | 0.0628257 | − | 0.0211685i | ||||
\(253\) | −38.4575 | + | 4.18251i | −2.41780 | + | 0.262952i | ||||
\(254\) | −10.8455 | − | 5.01766i | −0.680506 | − | 0.314836i | ||||
\(255\) | −0.0307769 | + | 0.567647i | −0.00192733 | + | 0.0355475i | ||||
\(256\) | 0.796093 | − | 0.605174i | 0.0497558 | − | 0.0378234i | ||||
\(257\) | 14.0946 | + | 13.3511i | 0.879194 | + | 0.832817i | 0.986895 | − | 0.161367i | \(-0.0515901\pi\) |
−0.107700 | + | 0.994183i | \(0.534349\pi\) | |||||||
\(258\) | 5.84292 | − | 3.51557i | 0.363764 | − | 0.218870i | ||||
\(259\) | −9.54765 | + | 4.41721i | −0.593262 | + | 0.274472i | ||||
\(260\) | 3.64303 | + | 9.14332i | 0.225931 | + | 0.567045i | ||||
\(261\) | −2.06763 | + | 3.04952i | −0.127983 | + | 0.188760i | ||||
\(262\) | 5.27961 | + | 7.78684i | 0.326175 | + | 0.481072i | ||||
\(263\) | −1.11038 | + | 2.78685i | −0.0684690 | + | 0.171844i | −0.959229 | − | 0.282629i | \(-0.908793\pi\) |
0.890760 | + | 0.454474i | \(0.150173\pi\) | |||||||
\(264\) | −0.236125 | − | 4.35507i | −0.0145325 | − | 0.268036i | ||||
\(265\) | 12.9329 | + | 15.2258i | 0.794461 | + | 0.935312i | ||||
\(266\) | 0.177295 | + | 0.208728i | 0.0108706 | + | 0.0127979i | ||||
\(267\) | 0.0651449 | + | 1.20153i | 0.00398681 | + | 0.0735323i | ||||
\(268\) | 4.87029 | − | 12.2235i | 0.297500 | − | 0.746669i | ||||
\(269\) | 3.69472 | + | 5.44931i | 0.225271 | + | 0.332250i | 0.923482 | − | 0.383642i | \(-0.125330\pi\) |
−0.698211 | + | 0.715893i | \(0.746020\pi\) | |||||||
\(270\) | 0.790062 | − | 1.16525i | 0.0480816 | − | 0.0709151i | ||||
\(271\) | 9.91268 | + | 24.8790i | 0.602153 | + | 1.51129i | 0.841446 | + | 0.540342i | \(0.181705\pi\) |
−0.239293 | + | 0.970947i | \(0.576916\pi\) | |||||||
\(272\) | 0.366476 | − | 0.169550i | 0.0222209 | − | 0.0102805i | ||||
\(273\) | 6.30438 | − | 3.79322i | 0.381559 | − | 0.229576i | ||||
\(274\) | −3.69517 | − | 3.50025i | −0.223233 | − | 0.211458i | ||||
\(275\) | 10.4788 | − | 7.96581i | 0.631898 | − | 0.480356i | ||||
\(276\) | −0.480189 | + | 8.85656i | −0.0289040 | + | 0.533102i | ||||
\(277\) | −19.8666 | − | 9.19129i | −1.19367 | − | 0.552251i | −0.280510 | − | 0.959851i | \(-0.590504\pi\) |
−0.913161 | + | 0.407600i | \(0.866366\pi\) | |||||||
\(278\) | 7.21905 | − | 0.785119i | 0.432970 | − | 0.0470883i | ||||
\(279\) | −3.82527 | + | 1.28888i | −0.229013 | + | 0.0771635i | ||||
\(280\) | −0.239702 | + | 1.46212i | −0.0143250 | + | 0.0873784i | ||||
\(281\) | 11.4901 | − | 10.8840i | 0.685440 | − | 0.649283i | −0.263529 | − | 0.964651i | \(-0.584887\pi\) |
0.948969 | + | 0.315368i | \(0.102128\pi\) | |||||||
\(282\) | −2.00087 | + | 7.20649i | −0.119150 | + | 0.429140i | ||||
\(283\) | −3.63133 | + | 6.84942i | −0.215860 | + | 0.407156i | −0.967668 | − | 0.252226i | \(-0.918837\pi\) |
0.751808 | + | 0.659382i | \(0.229182\pi\) | |||||||
\(284\) | 11.3443 | + | 3.82234i | 0.673160 | + | 0.226814i | ||||
\(285\) | 0.357786 | + | 0.0787547i | 0.0211934 | + | 0.00466503i | ||||
\(286\) | −8.15733 | − | 29.3800i | −0.482353 | − | 1.73728i | ||||
\(287\) | 8.38752 | + | 5.04660i | 0.495100 | + | 0.297892i | ||||
\(288\) | −0.994138 | − | 0.108119i | −0.0585801 | − | 0.00637097i | ||||
\(289\) | −16.4433 | + | 3.61945i | −0.967254 | + | 0.212909i | ||||
\(290\) | −2.42964 | − | 4.58279i | −0.142674 | − | 0.269111i | ||||
\(291\) | −0.0509845 | − | 0.310991i | −0.00298876 | − | 0.0182306i | ||||
\(292\) | 2.94886 | + | 2.24167i | 0.172569 | + | 0.131184i | ||||
\(293\) | 5.98803 | − | 7.04965i | 0.349824 | − | 0.411845i | −0.558905 | − | 0.829232i | \(-0.688778\pi\) |
0.908729 | + | 0.417387i | \(0.137054\pi\) | |||||||
\(294\) | −5.89242 | −0.343653 | ||||||||
\(295\) | −7.02673 | + | 8.21973i | −0.409112 | + | 0.478571i | ||||
\(296\) | 9.99598 | 0.581005 | ||||||||
\(297\) | −2.82355 | + | 3.32414i | −0.163839 | + | 0.192886i | ||||
\(298\) | −9.92772 | − | 7.54685i | −0.575097 | − | 0.437177i | ||||
\(299\) | 10.0318 | + | 61.1912i | 0.580153 | + | 3.53878i | ||||
\(300\) | −1.41365 | − | 2.66643i | −0.0816171 | − | 0.153946i | ||||
\(301\) | 7.00868 | − | 1.54273i | 0.403973 | − | 0.0889213i | ||||
\(302\) | −19.0116 | − | 2.06764i | −1.09400 | − | 0.118979i | ||||
\(303\) | 0.520137 | + | 0.312956i | 0.0298811 | + | 0.0179788i | ||||
\(304\) | −0.0696168 | − | 0.250737i | −0.00399280 | − | 0.0143808i | ||||
\(305\) | −3.36565 | − | 0.740835i | −0.192716 | − | 0.0424201i | ||||
\(306\) | −0.382659 | − | 0.128933i | −0.0218752 | − | 0.00737060i | ||||
\(307\) | −4.67719 | + | 8.82212i | −0.266941 | + | 0.503505i | −0.980356 | − | 0.197238i | \(-0.936803\pi\) |
0.713414 | + | 0.700742i | \(0.247148\pi\) | |||||||
\(308\) | 1.22798 | − | 4.42278i | 0.0699706 | − | 0.252011i | ||||
\(309\) | 3.62406 | − | 3.43289i | 0.206166 | − | 0.195290i | ||||
\(310\) | 0.919384 | − | 5.60799i | 0.0522175 | − | 0.318513i | ||||
\(311\) | 16.0546 | − | 5.40943i | 0.910374 | − | 0.306741i | 0.175132 | − | 0.984545i | \(-0.443965\pi\) |
0.735242 | + | 0.677804i | \(0.237068\pi\) | |||||||
\(312\) | −6.95012 | + | 0.755871i | −0.393473 | + | 0.0427928i | ||||
\(313\) | −11.6246 | − | 5.37811i | −0.657060 | − | 0.303989i | 0.0628834 | − | 0.998021i | \(-0.479970\pi\) |
−0.719944 | + | 0.694032i | \(0.755832\pi\) | |||||||
\(314\) | −0.371708 | + | 6.85575i | −0.0209767 | + | 0.386892i | ||||
\(315\) | 1.17952 | − | 0.896649i | 0.0664585 | − | 0.0505205i | ||||
\(316\) | −4.90528 | − | 4.64653i | −0.275944 | − | 0.261388i | ||||
\(317\) | 8.92545 | − | 5.37027i | 0.501303 | − | 0.301624i | −0.242351 | − | 0.970189i | \(-0.577918\pi\) |
0.743654 | + | 0.668564i | \(0.233091\pi\) | |||||||
\(318\) | −12.8784 | + | 5.95818i | −0.722184 | + | 0.334118i | ||||
\(319\) | 5.94786 | + | 14.9280i | 0.333016 | + | 0.835807i | ||||
\(320\) | 0.790062 | − | 1.16525i | 0.0441658 | − | 0.0651397i | ||||
\(321\) | 3.17768 | + | 4.68672i | 0.177361 | + | 0.261587i | ||||
\(322\) | −3.45505 | + | 8.67153i | −0.192543 | + | 0.483245i | ||||
\(323\) | −0.00568874 | − | 0.104923i | −0.000316530 | − | 0.00583805i | ||||
\(324\) | 0.647386 | + | 0.762162i | 0.0359659 | + | 0.0423423i | ||||
\(325\) | −13.6592 | − | 16.0809i | −0.757677 | − | 0.892007i | ||||
\(326\) | −0.204205 | − | 3.76633i | −0.0113098 | − | 0.208598i | ||||
\(327\) | −3.55885 | + | 8.93205i | −0.196805 | + | 0.493943i | ||||
\(328\) | −5.21968 | − | 7.69846i | −0.288209 | − | 0.425076i | ||||
\(329\) | −4.41718 | + | 6.51486i | −0.243527 | + | 0.359176i | ||||
\(330\) | −2.27274 | − | 5.70415i | −0.125110 | − | 0.314003i | ||||
\(331\) | 0.106083 | − | 0.0490790i | 0.00583083 | − | 0.00269763i | −0.416972 | − | 0.908920i | \(-0.636909\pi\) |
0.422802 | + | 0.906222i | \(0.361046\pi\) | |||||||
\(332\) | −5.34928 | + | 3.21855i | −0.293580 | + | 0.176641i | ||||
\(333\) | −7.25704 | − | 6.87423i | −0.397683 | − | 0.376705i | ||||
\(334\) | 11.1784 | − | 8.49760i | 0.611655 | − | 0.464968i | ||||
\(335\) | 1.00289 | − | 18.4972i | 0.0547938 | − | 1.01061i | ||||
\(336\) | −0.955149 | − | 0.441899i | −0.0521077 | − | 0.0241076i | ||||
\(337\) | 1.12216 | − | 0.122042i | 0.0611278 | − | 0.00664805i | −0.0775040 | − | 0.996992i | \(-0.524695\pi\) |
0.138632 | + | 0.990344i | \(0.455730\pi\) | |||||||
\(338\) | −33.9975 | + | 11.4551i | −1.84922 | + | 0.623075i | ||||
\(339\) | 0.804154 | − | 4.90512i | 0.0436756 | − | 0.266410i | ||||
\(340\) | 0.412715 | − | 0.390944i | 0.0223826 | − | 0.0212019i | ||||
\(341\) | −4.70994 | + | 16.9637i | −0.255058 | + | 0.918634i | ||||
\(342\) | −0.121890 | + | 0.229909i | −0.00659107 | + | 0.0124321i | ||||
\(343\) | −12.8580 | − | 4.33235i | −0.694265 | − | 0.233925i | ||||
\(344\) | −6.65959 | − | 1.46589i | −0.359061 | − | 0.0790353i | ||||
\(345\) | 3.34061 | + | 12.0318i | 0.179852 | + | 0.647770i | ||||
\(346\) | 7.65477 | + | 4.60572i | 0.411523 | + | 0.247605i | ||||
\(347\) | −11.7644 | − | 1.27946i | −0.631548 | − | 0.0686850i | −0.213254 | − | 0.976997i | \(-0.568406\pi\) |
−0.418294 | + | 0.908312i | \(0.637372\pi\) | |||||||
\(348\) | 3.59824 | − | 0.792032i | 0.192886 | − | 0.0424574i | ||||
\(349\) | −1.09583 | − | 2.06695i | −0.0586583 | − | 0.110641i | 0.852449 | − | 0.522810i | \(-0.175116\pi\) |
−0.911108 | + | 0.412169i | \(0.864771\pi\) | |||||||
\(350\) | −0.513849 | − | 3.13434i | −0.0274664 | − | 0.167538i | ||||
\(351\) | 5.56557 | + | 4.23083i | 0.297068 | + | 0.225825i | ||||
\(352\) | −2.82355 | + | 3.32414i | −0.150496 | + | 0.177177i | ||||
\(353\) | −23.2674 | −1.23840 | −0.619199 | − | 0.785234i | \(-0.712543\pi\) | ||||
−0.619199 | + | 0.785234i | \(0.712543\pi\) | |||||||
\(354\) | −4.29045 | − | 6.37119i | −0.228035 | − | 0.338625i | ||||
\(355\) | 16.8532 | 0.894474 | ||||||||
\(356\) | 0.778995 | − | 0.917104i | 0.0412867 | − | 0.0486064i | ||||
\(357\) | −0.338310 | − | 0.257177i | −0.0179053 | − | 0.0136112i | ||||
\(358\) | −1.45663 | − | 8.88503i | −0.0769851 | − | 0.469589i | ||||
\(359\) | 1.41565 | + | 2.67020i | 0.0747151 | + | 0.140928i | 0.918055 | − | 0.396453i | \(-0.129759\pi\) |
−0.843340 | + | 0.537380i | \(0.819414\pi\) | |||||||
\(360\) | −1.37493 | + | 0.302644i | −0.0724650 | + | 0.0159507i | ||||
\(361\) | 18.8213 | + | 2.04694i | 0.990595 | + | 0.107734i | ||||
\(362\) | 0.594992 | + | 0.357995i | 0.0312721 | + | 0.0188158i | ||||
\(363\) | 2.14622 | + | 7.72997i | 0.112647 | + | 0.405718i | ||||
\(364\) | −7.18555 | − | 1.58166i | −0.376625 | − | 0.0829015i | ||||
\(365\) | 4.94190 | + | 1.66512i | 0.258671 | + | 0.0871564i | ||||
\(366\) | 1.14661 | − | 2.16273i | 0.0599340 | − | 0.113048i | ||||
\(367\) | −9.87462 | + | 35.5652i | −0.515451 | + | 1.85649i | 0.000717517 | 1.00000i | \(0.499772\pi\) | |
−0.516169 | + | 0.856487i | \(0.672642\pi\) | |||||||
\(368\) | 6.43926 | − | 6.09960i | 0.335670 | − | 0.317963i | ||||
\(369\) | −1.50476 | + | 9.17862i | −0.0783346 | + | 0.477820i | ||||
\(370\) | 13.3361 | − | 4.49345i | 0.693310 | − | 0.233603i | ||||
\(371\) | −14.8462 | + | 1.61462i | −0.770774 | + | 0.0838267i | ||||
\(372\) | 3.66350 | + | 1.69491i | 0.189943 | + | 0.0878772i | ||||
\(373\) | −1.16142 | + | 21.4211i | −0.0601359 | + | 1.10914i | 0.800306 | + | 0.599592i | \(0.204671\pi\) |
−0.860442 | + | 0.509549i | \(0.829812\pi\) | |||||||
\(374\) | −1.40203 | + | 1.06580i | −0.0724975 | + | 0.0551112i | ||||
\(375\) | −8.19507 | − | 7.76278i | −0.423192 | − | 0.400868i | ||||
\(376\) | 6.40852 | − | 3.85588i | 0.330494 | − | 0.198852i | ||||
\(377\) | 23.3772 | − | 10.8154i | 1.20399 | − | 0.557024i | ||||
\(378\) | 0.389540 | + | 0.977672i | 0.0200358 | + | 0.0502860i | ||||
\(379\) | −12.8772 | + | 18.9925i | −0.661459 | + | 0.975578i | 0.337949 | + | 0.941164i | \(0.390267\pi\) |
−0.999408 | + | 0.0344140i | \(0.989044\pi\) | |||||||
\(380\) | −0.205592 | − | 0.303225i | −0.0105466 | − | 0.0155551i | ||||
\(381\) | 4.42314 | − | 11.1012i | 0.226604 | − | 0.568733i | ||||
\(382\) | −0.0840453 | − | 1.55012i | −0.00430013 | − | 0.0793113i | ||||
\(383\) | −14.5157 | − | 17.0892i | −0.741719 | − | 0.873219i | 0.253851 | − | 0.967243i | \(-0.418303\pi\) |
−0.995570 | + | 0.0940246i | \(0.970027\pi\) | |||||||
\(384\) | 0.647386 | + | 0.762162i | 0.0330368 | + | 0.0388939i | ||||
\(385\) | −0.349852 | − | 6.45264i | −0.0178301 | − | 0.328857i | ||||
\(386\) | −6.43871 | + | 16.1599i | −0.327722 | + | 0.822520i | ||||
\(387\) | 3.82674 | + | 5.64402i | 0.194524 | + | 0.286902i | ||||
\(388\) | −0.176854 | + | 0.260840i | −0.00897841 | + | 0.0132422i | ||||
\(389\) | 9.14310 | + | 22.9475i | 0.463574 | + | 1.16348i | 0.956062 | + | 0.293163i | \(0.0947080\pi\) |
−0.492489 | + | 0.870319i | \(0.663913\pi\) | |||||||
\(390\) | −8.93268 | + | 4.13270i | −0.452324 | + | 0.209267i | ||||
\(391\) | 3.06883 | − | 1.84646i | 0.155198 | − | 0.0933793i | ||||
\(392\) | 4.27787 | + | 4.05221i | 0.216065 | + | 0.204668i | ||||
\(393\) | −7.48958 | + | 5.69343i | −0.377800 | + | 0.287196i | ||||
\(394\) | 0.957895 | − | 17.6673i | 0.0482580 | − | 0.890067i | ||||
\(395\) | −8.63309 | − | 3.99409i | −0.434378 | − | 0.200965i | ||||
\(396\) | 4.33590 | − | 0.471557i | 0.217887 | − | 0.0236967i | ||||
\(397\) | −33.5264 | + | 11.2963i | −1.68264 | + | 0.566947i | −0.988276 | − | 0.152677i | \(-0.951211\pi\) |
−0.694364 | + | 0.719624i | \(0.744314\pi\) | |||||||
\(398\) | 4.07255 | − | 24.8414i | 0.204138 | − | 1.24519i | ||||
\(399\) | −0.198823 | + | 0.188335i | −0.00995360 | + | 0.00942855i | ||||
\(400\) | −0.807396 | + | 2.90798i | −0.0403698 | + | 0.145399i | ||||
\(401\) | 4.04076 | − | 7.62167i | 0.201786 | − | 0.380608i | −0.761880 | − | 0.647718i | \(-0.775724\pi\) |
0.963666 | + | 0.267109i | \(0.0860685\pi\) | |||||||
\(402\) | 12.4692 | + | 4.20138i | 0.621909 | + | 0.209546i | ||||
\(403\) | 27.5603 | + | 6.06649i | 1.37288 | + | 0.302193i | ||||
\(404\) | −0.162397 | − | 0.584902i | −0.00807957 | − | 0.0291000i | ||||
\(405\) | 1.20632 | + | 0.725818i | 0.0599425 | + | 0.0360662i | ||||
\(406\) | 3.85478 | + | 0.419232i | 0.191309 | + | 0.0208062i | ||||
\(407\) | −42.5779 | + | 9.37209i | −2.11051 | + | 0.464557i | ||||
\(408\) | 0.189142 | + | 0.356759i | 0.00936391 | + | 0.0176622i | ||||
\(409\) | −5.29573 | − | 32.3026i | −0.261857 | − | 1.59726i | −0.710599 | − | 0.703597i | \(-0.751576\pi\) |
0.448742 | − | 0.893661i | \(-0.351872\pi\) | |||||||
\(410\) | −10.4245 | − | 7.92448i | −0.514828 | − | 0.391362i | ||||
\(411\) | 3.29506 | − | 3.87925i | 0.162533 | − | 0.191349i | ||||
\(412\) | −4.99185 | −0.245931 | ||||||||
\(413\) | −2.13802 | − | 7.79592i | −0.105205 | − | 0.383612i | ||||
\(414\) | −8.86957 | −0.435915 | ||||||||
\(415\) | −5.68989 | + | 6.69865i | −0.279306 | + | 0.328824i | ||||
\(416\) | 5.56557 | + | 4.23083i | 0.272874 | + | 0.207434i | ||||
\(417\) | 1.17480 | + | 7.16596i | 0.0575302 | + | 0.350919i | ||||
\(418\) | 0.531620 | + | 1.00274i | 0.0260024 | + | 0.0490457i | ||||
\(419\) | −3.62807 | + | 0.798598i | −0.177243 | + | 0.0390141i | −0.302705 | − | 0.953084i | \(-0.597890\pi\) |
0.125462 | + | 0.992098i | \(0.459959\pi\) | |||||||
\(420\) | −1.47295 | − | 0.160193i | −0.0718727 | − | 0.00781663i | ||||
\(421\) | 6.19890 | + | 3.72975i | 0.302116 | + | 0.181777i | 0.658537 | − | 0.752548i | \(-0.271176\pi\) |
−0.356421 | + | 0.934325i | \(0.616003\pi\) | |||||||
\(422\) | 4.07019 | + | 14.6595i | 0.198134 | + | 0.713614i | ||||
\(423\) | −7.30424 | − | 1.60779i | −0.355144 | − | 0.0781732i | ||||
\(424\) | 13.4471 | + | 4.53085i | 0.653048 | + | 0.220038i | ||||
\(425\) | −0.570826 | + | 1.07669i | −0.0276891 | + | 0.0522273i | ||||
\(426\) | −3.20257 | + | 11.5346i | −0.155165 | + | 0.558853i | ||||
\(427\) | 1.87030 | − | 1.77164i | 0.0905102 | − | 0.0857358i | ||||
\(428\) | 0.916078 | − | 5.58783i | 0.0442803 | − | 0.270098i | ||||
\(429\) | 28.8953 | − | 9.73597i | 1.39508 | − | 0.470057i | ||||
\(430\) | −9.54381 | + | 1.03795i | −0.460243 | + | 0.0500545i | ||||
\(431\) | −35.6725 | − | 16.5038i | −1.71828 | − | 0.794962i | −0.994477 | − | 0.104958i | \(-0.966529\pi\) |
−0.723806 | − | 0.690004i | \(-0.757609\pi\) | |||||||
\(432\) | 0.0541389 | − | 0.998533i | 0.00260476 | − | 0.0480420i | ||||
\(433\) | 24.3499 | − | 18.5103i | 1.17018 | − | 0.889550i | 0.174712 | − | 0.984620i | \(-0.444101\pi\) |
0.995471 | + | 0.0950701i | \(0.0303075\pi\) | |||||||
\(434\) | 3.08415 | + | 2.92146i | 0.148044 | + | 0.140235i | ||||
\(435\) | 4.44453 | − | 2.67419i | 0.213099 | − | 0.128217i | ||||
\(436\) | 8.72628 | − | 4.03721i | 0.417913 | − | 0.193347i | ||||
\(437\) | −0.854300 | − | 2.14413i | −0.0408667 | − | 0.102568i | ||||
\(438\) | −2.07873 | + | 3.06590i | −0.0993257 | + | 0.146494i | ||||
\(439\) | −4.10990 | − | 6.06165i | −0.196155 | − | 0.289307i | 0.716873 | − | 0.697204i | \(-0.245573\pi\) |
−0.913028 | + | 0.407897i | \(0.866262\pi\) | |||||||
\(440\) | −2.27274 | + | 5.70415i | −0.108349 | + | 0.271935i | ||||
\(441\) | −0.319009 | − | 5.88377i | −0.0151909 | − | 0.280180i | ||||
\(442\) | 1.82756 | + | 2.15157i | 0.0869281 | + | 0.102340i | ||||
\(443\) | 2.16932 | + | 2.55392i | 0.103067 | + | 0.121340i | 0.811277 | − | 0.584662i | \(-0.198773\pi\) |
−0.708210 | + | 0.706002i | \(0.750497\pi\) | |||||||
\(444\) | 0.541171 | + | 9.98132i | 0.0256829 | + | 0.473692i | ||||
\(445\) | 0.627030 | − | 1.57373i | 0.0297241 | − | 0.0746018i | ||||
\(446\) | −11.2716 | − | 16.6244i | −0.533726 | − | 0.787187i | ||||
\(447\) | 6.99831 | − | 10.3217i | 0.331009 | − | 0.488201i | ||||
\(448\) | 0.389540 | + | 0.977672i | 0.0184040 | + | 0.0461907i | ||||
\(449\) | −22.7206 | + | 10.5117i | −1.07225 | + | 0.496077i | −0.874924 | − | 0.484261i | \(-0.839089\pi\) |
−0.197328 | + | 0.980337i | \(0.563227\pi\) | |||||||
\(450\) | 2.58598 | − | 1.55593i | 0.121904 | − | 0.0733474i | ||||
\(451\) | 29.4512 | + | 27.8977i | 1.38680 | + | 1.31365i | ||||
\(452\) | −3.95706 | + | 3.00808i | −0.186125 | + | 0.141488i | ||||
\(453\) | 1.03534 | − | 19.0957i | 0.0486444 | − | 0.897193i | ||||
\(454\) | −3.99945 | − | 1.85034i | −0.187703 | − | 0.0868408i | ||||
\(455\) | −10.2976 | + | 1.11993i | −0.482757 | + | 0.0525030i | ||||
\(456\) | 0.246600 | − | 0.0830893i | 0.0115481 | − | 0.00389101i | ||||
\(457\) | 2.57991 | − | 15.7368i | 0.120683 | − | 0.736135i | −0.855275 | − | 0.518175i | \(-0.826612\pi\) |
0.975958 | − | 0.217960i | \(-0.0699402\pi\) | |||||||
\(458\) | 19.6985 | − | 18.6594i | 0.920449 | − | 0.871895i | ||||
\(459\) | 0.108027 | − | 0.389078i | 0.00504227 | − | 0.0181606i | ||||
\(460\) | 5.84899 | − | 11.0324i | 0.272710 | − | 0.514386i | ||||
\(461\) | 24.9889 | + | 8.41976i | 1.16385 | + | 0.392147i | 0.833935 | − | 0.551863i | \(-0.186083\pi\) |
0.329916 | + | 0.944010i | \(0.392979\pi\) | |||||||
\(462\) | 4.48277 | + | 0.986733i | 0.208558 | + | 0.0459070i | ||||
\(463\) | 6.22462 | + | 22.4190i | 0.289283 | + | 1.04190i | 0.955221 | + | 0.295894i | \(0.0956177\pi\) |
−0.665938 | + | 0.746007i | \(0.731969\pi\) | |||||||
\(464\) | −3.15699 | − | 1.89950i | −0.146559 | − | 0.0881819i | ||||
\(465\) | 5.64954 | + | 0.614425i | 0.261991 | + | 0.0284933i | ||||
\(466\) | −2.20687 | + | 0.485768i | −0.102231 | + | 0.0225028i | ||||
\(467\) | −6.93040 | − | 13.0721i | −0.320700 | − | 0.604905i | 0.669780 | − | 0.742560i | \(-0.266388\pi\) |
−0.990480 | + | 0.137654i | \(0.956044\pi\) | |||||||
\(468\) | −1.13103 | − | 6.89900i | −0.0522821 | − | 0.318907i | ||||
\(469\) | 11.0241 | + | 8.38030i | 0.509046 | + | 0.386966i | ||||
\(470\) | 6.81658 | − | 8.02510i | 0.314425 | − | 0.370170i | ||||
\(471\) | −6.86582 | −0.316360 | ||||||||
\(472\) | −1.26662 | + | 7.57599i | −0.0583007 | + | 0.348713i | ||||
\(473\) | 29.7409 | 1.36749 | ||||||||
\(474\) | 4.37415 | − | 5.14965i | 0.200911 | − | 0.236531i | ||||
\(475\) | 0.625209 | + | 0.475271i | 0.0286865 | + | 0.0218069i | ||||
\(476\) | 0.0687513 | + | 0.419365i | 0.00315121 | + | 0.0192215i | ||||
\(477\) | −6.64666 | − | 12.5369i | −0.304330 | − | 0.574027i | ||||
\(478\) | −15.9136 | + | 3.50285i | −0.727872 | + | 0.160217i | ||||
\(479\) | 25.9322 | + | 2.82029i | 1.18487 | + | 0.128862i | 0.679259 | − | 0.733899i | \(-0.262301\pi\) |
0.505612 | + | 0.862761i | \(0.331267\pi\) | |||||||
\(480\) | 1.20632 | + | 0.725818i | 0.0550607 | + | 0.0331289i | ||||
\(481\) | 18.6957 | + | 67.3357i | 0.852449 | + | 3.07024i | ||||
\(482\) | 0.421773 | + | 0.0928392i | 0.0192112 | + | 0.00422871i | ||||
\(483\) | −8.84586 | − | 2.98052i | −0.402501 | − | 0.135618i | ||||
\(484\) | 3.75775 | − | 7.08787i | 0.170807 | − | 0.322176i | ||||
\(485\) | −0.118695 | + | 0.427499i | −0.00538965 | + | 0.0194117i | ||||
\(486\) | −0.725995 | + | 0.687699i | −0.0329318 | + | 0.0311947i | ||||
\(487\) | 3.02527 | − | 18.4534i | 0.137088 | − | 0.836201i | −0.825334 | − | 0.564644i | \(-0.809013\pi\) |
0.962422 | − | 0.271557i | \(-0.0875384\pi\) | |||||||
\(488\) | −2.31974 | + | 0.781610i | −0.105010 | + | 0.0353818i | ||||
\(489\) | 3.74975 | − | 0.407810i | 0.169570 | − | 0.0184418i | ||||
\(490\) | 7.52887 | + | 3.48322i | 0.340120 | + | 0.157356i | ||||
\(491\) | −0.941243 | + | 17.3602i | −0.0424777 | + | 0.783455i | 0.897248 | + | 0.441526i | \(0.145563\pi\) |
−0.939726 | + | 0.341929i | \(0.888920\pi\) | |||||||
\(492\) | 7.40458 | − | 5.62882i | 0.333824 | − | 0.253767i | ||||
\(493\) | −1.08009 | − | 1.02312i | −0.0486449 | − | 0.0460789i | ||||
\(494\) | 1.55883 | − | 0.937916i | 0.0701350 | − | 0.0421988i | ||||
\(495\) | 5.57274 | − | 2.57822i | 0.250476 | − | 0.115883i | ||||
\(496\) | −1.49409 | − | 3.74988i | −0.0670867 | − | 0.168375i | ||||
\(497\) | −7.07008 | + | 10.4276i | −0.317136 | + | 0.467741i | ||||
\(498\) | −3.50344 | − | 5.16718i | −0.156993 | − | 0.231547i | ||||
\(499\) | 9.77880 | − | 24.5429i | 0.437759 | − | 1.09869i | −0.530264 | − | 0.847833i | \(-0.677907\pi\) |
0.968023 | − | 0.250861i | \(-0.0807135\pi\) | |||||||
\(500\) | 0.611122 | + | 11.2715i | 0.0273302 | + | 0.504076i | ||||
\(501\) | 9.09032 | + | 10.7020i | 0.406126 | + | 0.478128i | ||||
\(502\) | −6.84229 | − | 8.05537i | −0.305387 | − | 0.359529i | ||||
\(503\) | −0.902622 | − | 16.6479i | −0.0402459 | − | 0.742292i | −0.947118 | − | 0.320886i | \(-0.896019\pi\) |
0.906872 | − | 0.421406i | \(-0.138463\pi\) | |||||||
\(504\) | 0.389540 | − | 0.977672i | 0.0173515 | − | 0.0435490i | ||||
\(505\) | −0.479590 | − | 0.707343i | −0.0213415 | − | 0.0314763i | ||||
\(506\) | −21.7091 | + | 32.0186i | −0.965089 | + | 1.42340i | ||||
\(507\) | −13.2789 | − | 33.3275i | −0.589736 | − | 1.48013i | ||||
\(508\) | −10.8455 | + | 5.01766i | −0.481191 | + | 0.222623i | ||||
\(509\) | −20.3620 | + | 12.2514i | −0.902530 | + | 0.543034i | −0.889528 | − | 0.456881i | \(-0.848966\pi\) |
−0.0130020 | + | 0.999915i | \(0.504139\pi\) | |||||||
\(510\) | 0.412715 | + | 0.390944i | 0.0182753 | + | 0.0173113i | ||||
\(511\) | −3.10344 | + | 2.35917i | −0.137288 | + | 0.104364i | ||||
\(512\) | 0.0541389 | − | 0.998533i | 0.00239262 | − | 0.0441294i | ||||
\(513\) | −0.236171 | − | 0.109264i | −0.0104272 | − | 0.00482414i | ||||
\(514\) | 19.3003 | − | 2.09903i | 0.851300 | − | 0.0925844i | ||||
\(515\) | −6.65985 | + | 2.24396i | −0.293468 | + | 0.0988809i | ||||
\(516\) | 1.10319 | − | 6.72918i | 0.0485654 | − | 0.296236i | ||||
\(517\) | −23.6819 | + | 22.4326i | −1.04153 | + | 0.986587i | ||||
\(518\) | −2.81439 | + | 10.1365i | −0.123657 | + | 0.445372i | ||||
\(519\) | −4.18454 | + | 7.89289i | −0.183681 | + | 0.346459i | ||||
\(520\) | 9.32714 | + | 3.14268i | 0.409022 | + | 0.137816i | ||||
\(521\) | 2.95202 | + | 0.649789i | 0.129330 | + | 0.0284678i | 0.279164 | − | 0.960243i | \(-0.409943\pi\) |
−0.149834 | + | 0.988711i | \(0.547874\pi\) | |||||||
\(522\) | 0.985676 | + | 3.55008i | 0.0431418 | + | 0.155383i | ||||
\(523\) | −3.74491 | − | 2.25324i | −0.163754 | − | 0.0985273i | 0.431318 | − | 0.902200i | \(-0.358049\pi\) |
−0.595072 | + | 0.803673i | \(0.702876\pi\) | |||||||
\(524\) | 9.35278 | + | 1.01718i | 0.408578 | + | 0.0444355i | ||||
\(525\) | 3.10193 | − | 0.682785i | 0.135379 | − | 0.0297992i | ||||
\(526\) | 1.40518 | + | 2.65046i | 0.0612689 | + | 0.115565i | ||||
\(527\) | −0.263697 | − | 1.60848i | −0.0114868 | − | 0.0700666i | ||||
\(528\) | −3.47213 | − | 2.63945i | −0.151105 | − | 0.114867i | ||||
\(529\) | 36.0395 | − | 42.4289i | 1.56693 | − | 1.84474i | ||||
\(530\) | 19.9771 | 0.867749 | ||||||||
\(531\) | 6.12956 | − | 4.62909i | 0.266000 | − | 0.200885i | ||||
\(532\) | 0.273863 | 0.0118735 | ||||||||
\(533\) | 42.0965 | − | 49.5598i | 1.82340 | − | 2.14667i | ||||
\(534\) | 0.957933 | + | 0.728202i | 0.0414538 | + | 0.0315124i | ||||
\(535\) | −1.28969 | − | 7.86677i | −0.0557582 | − | 0.340110i | ||||
\(536\) | −6.16333 | − | 11.6253i | −0.266215 | − | 0.502135i | ||||
\(537\) | 8.79314 | − | 1.93552i | 0.379452 | − | 0.0835237i | ||||
\(538\) | 6.54517 | + | 0.711830i | 0.282182 | + | 0.0306892i | ||||
\(539\) | −22.0209 | − | 13.2495i | −0.948506 | − | 0.570697i | ||||
\(540\) | −0.376637 | − | 1.35653i | −0.0162079 | − | 0.0583755i | ||||
\(541\) | 18.6296 | + | 4.10068i | 0.800947 | + | 0.176302i | 0.596539 | − | 0.802584i | \(-0.296542\pi\) |
0.204408 | + | 0.978886i | \(0.434473\pi\) | |||||||
\(542\) | 25.3791 | + | 8.55123i | 1.09013 | + | 0.367307i | ||||
\(543\) | −0.325258 | + | 0.613501i | −0.0139581 | + | 0.0263279i | ||||
\(544\) | 0.108027 | − | 0.389078i | 0.00463162 | − | 0.0166816i | ||||
\(545\) | 9.82729 | − | 9.30890i | 0.420955 | − | 0.398750i | ||||
\(546\) | 1.19032 | − | 7.26064i | 0.0509411 | − | 0.310727i | ||||
\(547\) | 6.16353 | − | 2.07673i | 0.263533 | − | 0.0887947i | −0.184433 | − | 0.982845i | \(-0.559045\pi\) |
0.447967 | + | 0.894050i | \(0.352148\pi\) | |||||||
\(548\) | −5.05996 | + | 0.550303i | −0.216151 | + | 0.0235078i | ||||
\(549\) | 2.22163 | + | 1.02784i | 0.0948169 | + | 0.0438670i | ||||
\(550\) | 0.712622 | − | 13.1435i | 0.0303863 | − | 0.560442i | ||||
\(551\) | −0.763260 | + | 0.580215i | −0.0325160 | + | 0.0247180i | ||||
\(552\) | 6.43926 | + | 6.09960i | 0.274073 | + | 0.259616i | ||||
\(553\) | 6.09294 | − | 3.66600i | 0.259098 | − | 0.155894i | ||||
\(554\) | −19.8666 | + | 9.19129i | −0.844053 | + | 0.390500i | ||||
\(555\) | 5.20886 | + | 13.0733i | 0.221104 | + | 0.554929i | ||||
\(556\) | 4.07513 | − | 6.01036i | 0.172824 | − | 0.254896i | ||||
\(557\) | −18.5241 | − | 27.3210i | −0.784890 | − | 1.15763i | −0.984091 | − | 0.177668i | \(-0.943145\pi\) |
0.199200 | − | 0.979959i | \(-0.436166\pi\) | |||||||
\(558\) | −1.49409 | + | 3.74988i | −0.0632499 | + | 0.158745i | ||||
\(559\) | −2.58093 | − | 47.6025i | −0.109162 | − | 2.01337i | ||||
\(560\) | 0.959192 | + | 1.12925i | 0.0405333 | + | 0.0477194i | ||||
\(561\) | −1.14014 | − | 1.34228i | −0.0481368 | − | 0.0566710i | ||||
\(562\) | −0.856837 | − | 15.8034i | −0.0361435 | − | 0.666627i | ||||
\(563\) | 6.04600 | − | 15.1743i | 0.254809 | − | 0.639521i | −0.744806 | − | 0.667281i | \(-0.767458\pi\) |
0.999615 | + | 0.0277596i | \(0.00883729\pi\) | |||||||
\(564\) | 4.19717 | + | 6.19037i | 0.176733 | + | 0.260662i | ||||
\(565\) | −3.92708 | + | 5.79202i | −0.165214 | + | 0.243672i | ||||
\(566\) | 2.86949 | + | 7.20188i | 0.120614 | + | 0.302718i | ||||
\(567\) | −0.955149 | + | 0.441899i | −0.0401125 | + | 0.0185580i | ||||
\(568\) | 10.2574 | − | 6.17166i | 0.430390 | − | 0.258957i | ||||
\(569\) | −14.1798 | − | 13.4318i | −0.594449 | − | 0.563092i | 0.330201 | − | 0.943911i | \(-0.392884\pi\) |
−0.924650 | + | 0.380819i | \(0.875642\pi\) | |||||||
\(570\) | 0.291650 | − | 0.221706i | 0.0122159 | − | 0.00928626i | ||||
\(571\) | −0.103618 | + | 1.91112i | −0.00433627 | + | 0.0799779i | −0.999900 | − | 0.0141065i | \(-0.995510\pi\) |
0.995564 | + | 0.0940844i | \(0.0299924\pi\) | |||||||
\(572\) | −27.6733 | − | 12.8030i | −1.15708 | − | 0.535321i | ||||
\(573\) | 1.54330 | − | 0.167844i | 0.0644723 | − | 0.00701179i | ||||
\(574\) | 9.27629 | − | 3.12555i | 0.387185 | − | 0.130458i | ||||
\(575\) | −4.33061 | + | 26.4156i | −0.180599 | + | 1.10161i | ||||
\(576\) | −0.725995 | + | 0.687699i | −0.0302498 | + | 0.0286541i | ||||
\(577\) | 4.65253 | − | 16.7569i | 0.193687 | − | 0.697599i | −0.801359 | − | 0.598184i | \(-0.795889\pi\) |
0.995046 | − | 0.0994147i | \(-0.0316970\pi\) | |||||||
\(578\) | −7.88657 | + | 14.8756i | −0.328038 | + | 0.618745i | ||||
\(579\) | −16.4848 | − | 5.55439i | −0.685086 | − | 0.230832i | ||||
\(580\) | −5.06575 | − | 1.11506i | −0.210344 | − | 0.0463002i | ||||
\(581\) | −1.75770 | − | 6.33067i | −0.0729217 | − | 0.262640i | ||||
\(582\) | −0.270033 | − | 0.162473i | −0.0111932 | − | 0.00673473i | ||||
\(583\) | −61.5259 | − | 6.69134i | −2.54814 | − | 0.277127i | ||||
\(584\) | 3.61757 | − | 0.796287i | 0.149696 | − | 0.0329506i | ||||
\(585\) | −4.61024 | − | 8.69584i | −0.190610 | − | 0.359529i | ||||
\(586\) | −1.49641 | − | 9.12769i | −0.0618161 | − | 0.377062i | ||||
\(587\) | 16.6630 | + | 12.6669i | 0.687757 | + | 0.522820i | 0.889682 | − | 0.456582i | \(-0.150926\pi\) |
−0.201924 | + | 0.979401i | \(0.564719\pi\) | |||||||
\(588\) | −3.81467 | + | 4.49098i | −0.157314 | + | 0.185205i | ||||
\(589\) | −1.05041 | −0.0432812 | ||||||||
\(590\) | 1.71576 | + | 10.6768i | 0.0706365 | + | 0.439559i | ||||
\(591\) | 17.6933 | 0.727804 | ||||||||
\(592\) | 6.47126 | − | 7.61856i | 0.265967 | − | 0.313121i | ||||
\(593\) | −34.3131 | − | 26.0841i | −1.40907 | − | 1.07115i | −0.986309 | − | 0.164907i | \(-0.947268\pi\) |
−0.422761 | − | 0.906241i | \(-0.638939\pi\) | |||||||
\(594\) | 0.705607 | + | 4.30401i | 0.0289514 | + | 0.176596i | ||||
\(595\) | 0.280239 | + | 0.528588i | 0.0114887 | + | 0.0216700i | ||||
\(596\) | −12.1790 | + | 2.68080i | −0.498871 | + | 0.109810i | ||||
\(597\) | 25.0255 | + | 2.72169i | 1.02423 | + | 0.111391i | ||||
\(598\) | 53.1320 | + | 31.9685i | 2.17273 | + | 1.30729i | ||||
\(599\) | −4.86332 | − | 17.5161i | −0.198710 | − | 0.715688i | −0.993992 | − | 0.109449i | \(-0.965091\pi\) |
0.795283 | − | 0.606239i | \(-0.207322\pi\) | |||||||
\(600\) | −2.94743 | − | 0.648777i | −0.120328 | − | 0.0264862i | ||||
\(601\) | 12.3954 | + | 4.17649i | 0.505618 | + | 0.170363i | 0.560539 | − | 0.828128i | \(-0.310594\pi\) |
−0.0549206 | + | 0.998491i | \(0.517491\pi\) | |||||||
\(602\) | 3.36151 | − | 6.34049i | 0.137005 | − | 0.258419i | ||||
\(603\) | −3.52014 | + | 12.6784i | −0.143351 | + | 0.516305i | ||||
\(604\) | −13.8837 | + | 13.1514i | −0.564921 | + | 0.535122i | ||||
\(605\) | 1.82721 | − | 11.1455i | 0.0742864 | − | 0.453127i | ||||
\(606\) | 0.575253 | − | 0.193825i | 0.0233680 | − | 0.00787361i | ||||
\(607\) | 22.2048 | − | 2.41492i | 0.901265 | − | 0.0980184i | 0.354259 | − | 0.935147i | \(-0.384733\pi\) |
0.547006 | + | 0.837129i | \(0.315768\pi\) | |||||||
\(608\) | −0.236171 | − | 0.109264i | −0.00957801 | − | 0.00443126i | ||||
\(609\) | −0.209924 | + | 3.87182i | −0.00850655 | + | 0.156894i | ||||
\(610\) | −2.74351 | + | 2.08556i | −0.111081 | + | 0.0844419i | ||||
\(611\) | 37.9602 | + | 35.9578i | 1.53571 | + | 1.45470i | ||||
\(612\) | −0.345996 | + | 0.208179i | −0.0139861 | + | 0.00841513i | ||||
\(613\) | 18.6203 | − | 8.61468i | 0.752068 | − | 0.347943i | −0.00611895 | − | 0.999981i | \(-0.501948\pi\) |
0.758186 | + | 0.652038i | \(0.226086\pi\) | |||||||
\(614\) | 3.69593 | + | 9.27610i | 0.149156 | + | 0.374353i | ||||
\(615\) | 7.34849 | − | 10.8382i | 0.296320 | − | 0.437039i | ||||
\(616\) | −2.57590 | − | 3.79917i | −0.103786 | − | 0.153073i | ||||
\(617\) | −10.9603 | + | 27.5082i | −0.441244 | + | 1.10744i | 0.525295 | + | 0.850920i | \(0.323955\pi\) |
−0.966539 | + | 0.256519i | \(0.917424\pi\) | |||||||
\(618\) | −0.270253 | − | 4.98453i | −0.0108712 | − | 0.200507i | ||||
\(619\) | 7.15385 | + | 8.42217i | 0.287538 | + | 0.338515i | 0.886899 | − | 0.461963i | \(-0.152855\pi\) |
−0.599362 | + | 0.800478i | \(0.704579\pi\) | |||||||
\(620\) | −3.67900 | − | 4.33126i | −0.147752 | − | 0.173947i | ||||
\(621\) | −0.480189 | − | 8.85656i | −0.0192693 | − | 0.355401i | ||||
\(622\) | 6.27068 | − | 15.7382i | 0.251431 | − | 0.631045i | ||||
\(623\) | 0.710669 | + | 1.04816i | 0.0284724 | + | 0.0419936i | ||||
\(624\) | −3.92332 | + | 5.78646i | −0.157058 | + | 0.231644i | ||||
\(625\) | 0.296796 | + | 0.744901i | 0.0118718 | + | 0.0297961i | ||||
\(626\) | −11.6246 | + | 5.37811i | −0.464612 | + | 0.214952i | ||||
\(627\) | −0.972490 | + | 0.585128i | −0.0388375 | + | 0.0233678i | ||||
\(628\) | 4.98456 | + | 4.72162i | 0.198905 | + | 0.188413i | ||||
\(629\) | 3.21330 | − | 2.44269i | 0.128123 | − | 0.0973964i | ||||
\(630\) | 0.0802143 | − | 1.47946i | 0.00319581 | − | 0.0589433i | ||||
\(631\) | 15.8952 | + | 7.35390i | 0.632778 | + | 0.292754i | 0.709938 | − | 0.704265i | \(-0.248723\pi\) |
−0.0771600 | + | 0.997019i | \(0.524585\pi\) | |||||||
\(632\) | −6.71702 | + | 0.730520i | −0.267189 | + | 0.0290585i | ||||
\(633\) | −14.4177 | + | 4.85787i | −0.573050 | + | 0.193083i | ||||
\(634\) | 1.68520 | − | 10.2793i | 0.0669279 | − | 0.408242i | ||||
\(635\) | −12.2139 | + | 11.5696i | −0.484693 | + | 0.459126i | ||||
\(636\) | −3.79620 | + | 13.6727i | −0.150529 | + | 0.542156i | ||||
\(637\) | −19.2958 | + | 36.3958i | −0.764529 | + | 1.44205i | ||||
\(638\) | 15.2281 | + | 5.13095i | 0.602887 | + | 0.203136i | ||||
\(639\) | −11.6911 | − | 2.57340i | −0.462491 | − | 0.101802i | ||||
\(640\) | −0.376637 | − | 1.35653i | −0.0148879 | − | 0.0536214i | ||||
\(641\) | −17.0917 | − | 10.2837i | −0.675080 | − | 0.406182i | 0.136327 | − | 0.990664i | \(-0.456470\pi\) |
−0.811407 | + | 0.584482i | \(0.801298\pi\) | |||||||
\(642\) | 5.62923 | + | 0.612215i | 0.222168 | + | 0.0241622i | ||||
\(643\) | 8.95938 | − | 1.97211i | 0.353324 | − | 0.0777724i | −0.0347623 | − | 0.999396i | \(-0.511067\pi\) |
0.388086 | + | 0.921623i | \(0.373136\pi\) | |||||||
\(644\) | 4.37236 | + | 8.24714i | 0.172295 | + | 0.324983i | ||||
\(645\) | −1.55312 | − | 9.47362i | −0.0611541 | − | 0.373023i | ||||
\(646\) | −0.0836509 | − | 0.0635898i | −0.00329120 | − | 0.00250191i | ||||
\(647\) | −5.88607 | + | 6.92962i | −0.231405 | + | 0.272431i | −0.865594 | − | 0.500747i | \(-0.833059\pi\) |
0.634188 | + | 0.773179i | \(0.281334\pi\) | |||||||
\(648\) | 1.00000 | 0.0392837 | ||||||||
\(649\) | −1.70800 | − | 33.4575i | −0.0670450 | − | 1.31332i | ||||
\(650\) | −21.0990 | −0.827572 | ||||||||
\(651\) | −2.75021 | + | 3.23779i | −0.107789 | + | 0.126899i | ||||
\(652\) | −3.00275 | − | 2.28263i | −0.117597 | − | 0.0893948i | ||||
\(653\) | −2.87164 | − | 17.5162i | −0.112376 | − | 0.685463i | −0.981586 | − | 0.191020i | \(-0.938820\pi\) |
0.869210 | − | 0.494443i | \(-0.164628\pi\) | |||||||
\(654\) | 4.50372 | + | 8.49491i | 0.176109 | + | 0.332177i | ||||
\(655\) | 12.9352 | − | 2.84725i | 0.505420 | − | 0.111251i | ||||
\(656\) | −9.24663 | − | 1.00563i | −0.361020 | − | 0.0392633i | ||||
\(657\) | −3.17395 | − | 1.90970i | −0.123827 | − | 0.0745045i | ||||
\(658\) | 2.10575 | + | 7.58424i | 0.0820909 | + | 0.295665i | ||||
\(659\) | −10.1268 | − | 2.22907i | −0.394483 | − | 0.0868322i | 0.0132992 | − | 0.999912i | \(-0.495767\pi\) |
−0.407782 | + | 0.913079i | \(0.633698\pi\) | |||||||
\(660\) | −5.81883 | − | 1.96059i | −0.226498 | − | 0.0763159i | ||||
\(661\) | −6.26957 | + | 11.8257i | −0.243858 | + | 0.459965i | −0.974983 | − | 0.222278i | \(-0.928651\pi\) |
0.731125 | + | 0.682243i | \(0.238996\pi\) | |||||||
\(662\) | 0.0312702 | − | 0.112625i | 0.00121535 | − | 0.00437730i | ||||
\(663\) | −2.04947 | + | 1.94136i | −0.0795949 | + | 0.0753963i | ||||
\(664\) | −1.00999 | + | 6.16066i | −0.0391952 | + | 0.239080i | ||||
\(665\) | 0.365372 | − | 0.123108i | 0.0141685 | − | 0.00477394i | ||||
\(666\) | −9.93738 | + | 1.08076i | −0.385066 | + | 0.0418784i | ||||
\(667\) | −29.6585 | − | 13.7215i | −1.14838 | − | 0.531298i | ||||
\(668\) | 0.760196 | − | 14.0210i | 0.0294129 | − | 0.542488i | ||||
\(669\) | 15.9898 | − | 12.1551i | 0.618200 | − | 0.469943i | ||||
\(670\) | −13.4486 | − | 12.7392i | −0.519566 | − | 0.492159i | ||||
\(671\) | 9.14808 | − | 5.50422i | 0.353158 | − | 0.212488i | ||||
\(672\) | −0.955149 | + | 0.441899i | −0.0368457 | + | 0.0170466i | ||||
\(673\) | −6.73942 | − | 16.9147i | −0.259786 | − | 0.652012i | 0.740002 | − | 0.672604i | \(-0.234824\pi\) |
−0.999788 | + | 0.0205917i | \(0.993445\pi\) | |||||||
\(674\) | 0.633454 | − | 0.934275i | 0.0243997 | − | 0.0359869i | ||||
\(675\) | 1.69365 | + | 2.49795i | 0.0651888 | + | 0.0961462i | ||||
\(676\) | −13.2789 | + | 33.3275i | −0.510727 | + | 1.28183i | ||||
\(677\) | −1.12661 | − | 20.7791i | −0.0432991 | − | 0.798606i | −0.936869 | − | 0.349681i | \(-0.886290\pi\) |
0.893570 | − | 0.448924i | \(-0.148193\pi\) | |||||||
\(678\) | −3.21790 | − | 3.78840i | −0.123583 | − | 0.145493i | ||||
\(679\) | −0.214714 | − | 0.252780i | −0.00823995 | − | 0.00970082i | ||||
\(680\) | −0.0307769 | − | 0.567647i | −0.00118024 | − | 0.0217683i | ||||
\(681\) | 1.63110 | − | 4.09376i | 0.0625040 | − | 0.156873i | ||||
\(682\) | 9.87992 | + | 14.5718i | 0.378322 | + | 0.557983i | ||||
\(683\) | −21.4834 | + | 31.6856i | −0.822039 | + | 1.21242i | 0.152523 | + | 0.988300i | \(0.451260\pi\) |
−0.974562 | + | 0.224117i | \(0.928050\pi\) | |||||||
\(684\) | 0.0963182 | + | 0.241740i | 0.00368282 | + | 0.00924317i | ||||
\(685\) | −6.50334 | + | 3.00876i | −0.248480 | + | 0.114959i | ||||
\(686\) | −11.6260 | + | 6.99515i | −0.443884 | + | 0.267076i | ||||
\(687\) | 19.6985 | + | 18.6594i | 0.751543 | + | 0.711900i | ||||
\(688\) | −5.42857 | + | 4.12669i | −0.206962 | + | 0.157329i | ||||
\(689\) | −5.37074 | + | 99.0574i | −0.204609 | + | 3.77379i | ||||
\(690\) | 11.3328 | + | 5.24313i | 0.431434 | + | 0.199602i | ||||
\(691\) | −9.72497 | + | 1.05765i | −0.369955 | + | 0.0402350i | −0.291208 | − | 0.956660i | \(-0.594057\pi\) |
−0.0787467 | + | 0.996895i | \(0.525092\pi\) | |||||||
\(692\) | 8.46589 | − | 2.85249i | 0.321825 | − | 0.108435i | ||||
\(693\) | −0.742594 | + | 4.52962i | −0.0282088 | + | 0.172066i | ||||
\(694\) | −8.59129 | + | 8.13810i | −0.326121 | + | 0.308918i | ||||
\(695\) | 2.73500 | − | 9.85057i | 0.103744 | − | 0.373653i | ||||
\(696\) | 1.72579 | − | 3.25519i | 0.0654160 | − | 0.123388i | ||||
\(697\) | −3.55917 | − | 1.19922i | −0.134813 | − | 0.0454238i | ||||
\(698\) | −2.28477 | − | 0.502917i | −0.0864800 | − | 0.0190357i | ||||
\(699\) | −0.604533 | − | 2.17733i | −0.0228655 | − | 0.0823542i | ||||
\(700\) | −2.72153 | − | 1.63749i | −0.102864 | − | 0.0618914i | ||||
\(701\) | −7.43698 | − | 0.808820i | −0.280891 | − | 0.0305487i | −0.0334108 | − | 0.999442i | \(-0.510637\pi\) |
−0.247480 | + | 0.968893i | \(0.579602\pi\) | |||||||
\(702\) | 6.82765 | − | 1.50288i | 0.257693 | − | 0.0567226i | ||||
\(703\) | −1.21841 | − | 2.29817i | −0.0459533 | − | 0.0866771i | ||||
\(704\) | 0.705607 | + | 4.30401i | 0.0265936 | + | 0.162213i | ||||
\(705\) | 8.38237 | + | 6.37211i | 0.315698 | + | 0.239988i | ||||
\(706\) | −15.0630 | + | 17.7335i | −0.566903 | + | 0.667410i | ||||
\(707\) | 0.638848 | 0.0240264 | ||||||||
\(708\) | −7.63346 | − | 0.854602i | −0.286883 | − | 0.0321179i | ||||
\(709\) | −30.7323 | −1.15418 | −0.577088 | − | 0.816682i | \(-0.695811\pi\) | ||||
−0.577088 | + | 0.816682i | \(0.695811\pi\) | |||||||
\(710\) | 10.9105 | − | 12.8449i | 0.409464 | − | 0.482059i | ||||
\(711\) | 5.37891 | + | 4.08894i | 0.201725 | + | 0.153347i | ||||
\(712\) | −0.194671 | − | 1.18744i | −0.00729561 | − | 0.0445012i | ||||
\(713\) | −16.7703 | − | 31.6321i | −0.628052 | − | 1.18463i | ||||
\(714\) | −0.415027 | + | 0.0913544i | −0.0155320 | + | 0.00341885i | ||||
\(715\) | −42.6755 | − | 4.64124i | −1.59597 | − | 0.173572i | ||||
\(716\) | −7.71483 | − | 4.64186i | −0.288317 | − | 0.173475i | ||||
\(717\) | −4.35926 | − | 15.7006i | −0.162800 | − | 0.586351i | ||||
\(718\) | 2.95159 | + | 0.649695i | 0.110152 | + | 0.0242464i | ||||
\(719\) | −12.8439 | − | 4.32762i | −0.478997 | − | 0.161393i | 0.0694374 | − | 0.997586i | \(-0.477880\pi\) |
−0.548435 | + | 0.836193i | \(0.684776\pi\) | |||||||
\(720\) | −0.659445 | + | 1.24384i | −0.0245760 | + | 0.0463553i | ||||
\(721\) | 1.40546 | − | 5.06202i | 0.0523422 | − | 0.188520i | ||||
\(722\) | 13.7448 | − | 13.0197i | 0.511527 | − | 0.484544i | ||||
\(723\) | −0.0698687 | + | 0.426180i | −0.00259845 | + | 0.0158498i | ||||
\(724\) | 0.658040 | − | 0.221720i | 0.0244559 | − | 0.00824014i | ||||
\(725\) | 11.0542 | − | 1.20222i | 0.410543 | − | 0.0446493i | ||||
\(726\) | 7.28092 | + | 3.36851i | 0.270220 | + | 0.125017i | ||||
\(727\) | −0.0984386 | + | 1.81559i | −0.00365089 | + | 0.0673367i | −0.999791 | − | 0.0204398i | \(-0.993493\pi\) |
0.996140 | + | 0.0877765i | \(0.0279761\pi\) | |||||||
\(728\) | −5.85731 | + | 4.45261i | −0.217086 | + | 0.165025i | ||||
\(729\) | −0.725995 | − | 0.687699i | −0.0268887 | − | 0.0254704i | ||||
\(730\) | 4.46841 | − | 2.68855i | 0.165383 | − | 0.0995078i | ||||
\(731\) | −2.49900 | + | 1.15616i | −0.0924290 | + | 0.0427622i | ||||
\(732\) | −0.906052 | − | 2.27402i | −0.0334886 | − | 0.0840501i | ||||
\(733\) | 26.3270 | − | 38.8295i | 0.972411 | − | 1.43420i | 0.0728814 | − | 0.997341i | \(-0.476781\pi\) |
0.899530 | − | 0.436859i | \(-0.143909\pi\) | |||||||
\(734\) | 20.7137 | + | 30.5505i | 0.764558 | + | 1.12764i | ||||
\(735\) | −3.07051 | + | 7.70640i | −0.113258 | + | 0.284255i | ||||
\(736\) | −0.480189 | − | 8.85656i | −0.0177000 | − | 0.326457i | ||||
\(737\) | 37.1524 | + | 43.7392i | 1.36853 | + | 1.61115i | ||||
\(738\) | 6.02144 | + | 7.08898i | 0.221652 | + | 0.260949i | ||||
\(739\) | 1.08145 | + | 19.9463i | 0.0397819 | + | 0.733735i | 0.948588 | + | 0.316515i | \(0.102513\pi\) |
−0.908806 | + | 0.417220i | \(0.863004\pi\) | |||||||
\(740\) | 5.20886 | − | 13.0733i | 0.191482 | − | 0.480582i | ||||
\(741\) | 1.02093 | + | 1.50576i | 0.0375049 | + | 0.0553156i | ||||
\(742\) | −8.38060 | + | 12.3605i | −0.307661 | + | 0.453767i | ||||
\(743\) | 2.81588 | + | 7.06732i | 0.103305 | + | 0.259275i | 0.971539 | − | 0.236879i | \(-0.0761245\pi\) |
−0.868235 | + | 0.496154i | \(0.834745\pi\) | |||||||
\(744\) | 3.66350 | − | 1.69491i | 0.134310 | − | 0.0621386i | ||||
\(745\) | −15.0435 | + | 9.05134i | −0.551149 | + | 0.331616i | ||||
\(746\) | 15.5744 | + | 14.7529i | 0.570221 | + | 0.540142i | ||||
\(747\) | 4.96993 | − | 3.77804i | 0.181840 | − | 0.138231i | ||||
\(748\) | −0.0953464 | + | 1.75856i | −0.00348621 | + | 0.0642994i | ||||
\(749\) | 5.40846 | + | 2.50222i | 0.197621 | + | 0.0914291i | ||||
\(750\) | −11.2219 | + | 1.22045i | −0.409765 | + | 0.0445646i | ||||
\(751\) | −40.6302 | + | 13.6899i | −1.48262 | + | 0.499552i | −0.940220 | − | 0.340569i | \(-0.889380\pi\) |
−0.542399 | + | 0.840121i | \(0.682484\pi\) | |||||||
\(752\) | 1.20998 | − | 7.38058i | 0.0441236 | − | 0.269142i | ||||
\(753\) | 7.67312 | − | 7.26837i | 0.279624 | − | 0.264874i | ||||
\(754\) | 6.89096 | − | 24.8190i | 0.250954 | − | 0.903854i | ||||
\(755\) | −12.6110 | + | 23.7869i | −0.458962 | + | 0.865695i | ||||
\(756\) | 0.997328 | + | 0.336039i | 0.0362725 | + | 0.0122216i | ||||
\(757\) | 45.0682 | + | 9.92026i | 1.63803 | + | 0.360558i | 0.936113 | − | 0.351700i | \(-0.114396\pi\) |
0.701918 | + | 0.712258i | \(0.252327\pi\) | |||||||
\(758\) | 6.13881 | + | 22.1100i | 0.222972 | + | 0.803072i | ||||
\(759\) | −33.1469 | − | 19.9438i | −1.20316 | − | 0.723916i | ||||
\(760\) | −0.364204 | − | 0.0396096i | −0.0132111 | − | 0.00143679i | ||||
\(761\) | 50.0356 | − | 11.0137i | 1.81379 | − | 0.399245i | 0.827124 | − | 0.562019i | \(-0.189975\pi\) |
0.986663 | + | 0.162775i | \(0.0520443\pi\) | |||||||
\(762\) | −5.59746 | − | 10.5579i | −0.202775 | − | 0.382474i | ||||
\(763\) | 1.63706 | + | 9.98563i | 0.0592656 | + | 0.361504i | ||||
\(764\) | −1.23586 | − | 0.939473i | −0.0447117 | − | 0.0339889i | ||||
\(765\) | −0.368027 | + | 0.433275i | −0.0133060 | + | 0.0156651i | ||||
\(766\) | −22.4220 | −0.810141 | ||||||||
\(767\) | −53.4030 | + | 5.63724i | −1.92827 | + | 0.203549i | ||||
\(768\) | 1.00000 | 0.0360844 | ||||||||
\(769\) | −17.7035 | + | 20.8422i | −0.638404 | + | 0.751588i | −0.982278 | − | 0.187428i | \(-0.939985\pi\) |
0.343874 | + | 0.939016i | \(0.388261\pi\) | |||||||
\(770\) | −5.14444 | − | 3.91070i | −0.185393 | − | 0.140932i | ||||
\(771\) | 3.14085 | + | 19.1584i | 0.113115 | + | 0.689971i | ||||
\(772\) | 8.14816 | + | 15.3691i | 0.293259 | + | 0.553145i | ||||
\(773\) | 40.1962 | − | 8.84785i | 1.44576 | − | 0.318235i | 0.578331 | − | 0.815802i | \(-0.303704\pi\) |
0.867426 | + | 0.497567i | \(0.165773\pi\) | |||||||
\(774\) | 6.77904 | + | 0.737265i | 0.243668 | + | 0.0265004i | ||||
\(775\) | 10.4385 | + | 6.28064i | 0.374962 | + | 0.225607i | ||||
\(776\) | 0.0843097 | + | 0.303656i | 0.00302654 | + | 0.0109006i | ||||
\(777\) | −10.2740 | − | 2.26148i | −0.368578 | − | 0.0811301i | ||||
\(778\) | 23.4088 | + | 7.88734i | 0.839246 | + | 0.282775i | ||||
\(779\) | −1.13372 | + | 2.13842i | −0.0406197 | + | 0.0766169i | ||||
\(780\) | −2.63311 | + | 9.48360i | −0.0942805 | + | 0.339568i | ||||
\(781\) | −37.9048 | + | 35.9054i | −1.35634 | + | 1.28480i | ||||
\(782\) | 0.579422 | − | 3.53432i | 0.0207201 | − | 0.126387i | ||||
\(783\) | −3.49151 | + | 1.17643i | −0.124776 | + | 0.0420421i | ||||
\(784\) | 5.85787 | − | 0.637082i | 0.209210 | − | 0.0227529i | ||||
\(785\) | 8.77261 | + | 4.05864i | 0.313108 | + | 0.144859i | ||||
\(786\) | −0.509335 | + | 9.39413i | −0.0181674 | + | 0.335077i | ||||
\(787\) | −29.4657 | + | 22.3992i | −1.05034 | + | 0.798446i | −0.979984 | − | 0.199076i | \(-0.936206\pi\) |
−0.0703534 | + | 0.997522i | \(0.522413\pi\) | |||||||
\(788\) | −12.8452 | − | 12.1677i | −0.457593 | − | 0.433455i | ||||
\(789\) | −2.57049 | + | 1.54662i | −0.0915120 | + | 0.0550610i | ||||
\(790\) | −8.63309 | + | 3.99409i | −0.307152 | + | 0.142103i | ||||
\(791\) | −1.93625 | − | 4.85962i | −0.0688451 | − | 0.172788i | ||||
\(792\) | 2.44760 | − | 3.60994i | 0.0869716 | − | 0.128274i | ||||
\(793\) | −9.60378 | − | 14.1645i | −0.341040 | − | 0.502997i | ||||
\(794\) | −13.0949 | + | 32.8656i | −0.464719 | + | 1.16636i | ||||
\(795\) | 1.08154 | + | 19.9478i | 0.0383582 | + | 0.707475i | ||||
\(796\) | −16.2967 | − | 19.1859i | −0.577621 | − | 0.680028i | ||||
\(797\) | −28.3094 | − | 33.3284i | −1.00277 | − | 1.18055i | −0.983531 | − | 0.180737i | \(-0.942152\pi\) |
−0.0192384 | − | 0.999815i | \(-0.506124\pi\) | |||||||
\(798\) | 0.0148266 | + | 0.273461i | 0.000524857 | + | 0.00968041i | ||||
\(799\) | 1.11783 | − | 2.80554i | 0.0395460 | − | 0.0992529i | ||||
\(800\) | 1.69365 | + | 2.49795i | 0.0598797 | + | 0.0883159i | ||||
\(801\) | −0.675272 | + | 0.995952i | −0.0238596 | + | 0.0351902i | ||||
\(802\) | −3.19302 | − | 8.01388i | −0.112749 | − | 0.282980i | ||||
\(803\) | −14.6624 | + | 6.78357i | −0.517426 | + | 0.239387i | ||||
\(804\) | 11.2745 | − | 6.78367i | 0.397623 | − | 0.239242i | ||||
\(805\) | 9.54066 | + | 9.03739i | 0.336264 | + | 0.318526i | ||||
\(806\) | 22.4658 | − | 17.0781i | 0.791325 | − | 0.601550i | ||||
\(807\) | −0.356438 | + | 6.57411i | −0.0125472 | + | 0.231420i | ||||
\(808\) | −0.550924 | − | 0.254885i | −0.0193814 | − | 0.00896681i | ||||
\(809\) | −23.2953 | + | 2.53351i | −0.819018 | + | 0.0890735i | −0.508029 | − | 0.861340i | \(-0.669626\pi\) |
−0.310989 | + | 0.950414i | \(0.600660\pi\) | |||||||
\(810\) | 1.33414 | − | 0.449526i | 0.0468771 | − | 0.0157947i | ||||
\(811\) | 1.95404 | − | 11.9191i | 0.0686158 | − | 0.418538i | −0.930074 | − | 0.367371i | \(-0.880258\pi\) |
0.998690 | − | 0.0511664i | \(-0.0162939\pi\) | |||||||
\(812\) | 2.81505 | − | 2.66656i | 0.0987890 | − | 0.0935779i | ||||
\(813\) | −7.16469 | + | 25.8049i | −0.251277 | + | 0.905016i | ||||
\(814\) | −20.4213 | + | 38.5186i | −0.715765 | + | 1.35008i | ||||
\(815\) | −5.03221 | − | 1.69555i | −0.176271 | − | 0.0593925i | ||||
\(816\) | 0.394356 | + | 0.0868043i | 0.0138052 | + | 0.00303876i | ||||
\(817\) | 0.474718 | + | 1.70978i | 0.0166083 | + | 0.0598176i | ||||
\(818\) | −28.0482 | − | 16.8760i | −0.980681 | − | 0.590056i | ||||
\(819\) | 7.31443 | + | 0.795493i | 0.255587 | + | 0.0277968i | ||||
\(820\) | −12.7884 | + | 2.81494i | −0.446590 | + | 0.0983019i | ||||
\(821\) | 1.37520 | + | 2.59390i | 0.0479948 | + | 0.0905278i | 0.906349 | − | 0.422529i | \(-0.138858\pi\) |
−0.858354 | + | 0.513057i | \(0.828513\pi\) | |||||||
\(822\) | −0.823437 | − | 5.02274i | −0.0287207 | − | 0.175188i | ||||
\(823\) | 16.7246 | + | 12.7137i | 0.582984 | + | 0.443173i | 0.854640 | − | 0.519222i | \(-0.173778\pi\) |
−0.271656 | + | 0.962394i | \(0.587571\pi\) | |||||||
\(824\) | −3.23165 | + | 3.80460i | −0.112580 | + | 0.132539i | ||||
\(825\) | 13.1628 | 0.458271 | ||||||||
\(826\) | −7.32588 | − | 3.41746i | −0.254900 | − | 0.118909i | ||||
\(827\) | 6.80815 | 0.236743 | 0.118371 | − | 0.992969i | \(-0.462233\pi\) | ||||
0.118371 | + | 0.992969i | \(0.462233\pi\) | |||||||
\(828\) | −5.74203 | + | 6.76005i | −0.199550 | + | 0.234928i | ||||
\(829\) | −1.50645 | − | 1.14518i | −0.0523213 | − | 0.0397736i | 0.578687 | − | 0.815550i | \(-0.303565\pi\) |
−0.631008 | + | 0.775776i | \(0.717359\pi\) | |||||||
\(830\) | 1.42190 | + | 8.67323i | 0.0493550 | + | 0.301052i | ||||
\(831\) | −10.2534 | − | 19.3399i | −0.355685 | − | 0.670894i | ||||
\(832\) | 6.82765 | − | 1.50288i | 0.236706 | − | 0.0521030i | ||||
\(833\) | 2.36539 | + | 0.257251i | 0.0819558 | + | 0.00891323i | ||||
\(834\) | 6.22217 | + | 3.74376i | 0.215456 | + | 0.129636i | ||||
\(835\) | −5.28858 | − | 19.0478i | −0.183019 | − | 0.659175i | ||||
\(836\) | 1.10842 | + | 0.243981i | 0.0383354 | + | 0.00843825i | ||||
\(837\) | −3.82527 | − | 1.28888i | −0.132221 | − | 0.0445504i | ||||
\(838\) | −1.74010 | + | 3.28218i | −0.0601107 | + | 0.113381i | ||||
\(839\) | 12.6931 | − | 45.7166i | 0.438216 | − | 1.57831i | −0.333759 | − | 0.942658i | \(-0.608317\pi\) |
0.771975 | − | 0.635653i | \(-0.219269\pi\) | |||||||
\(840\) | −1.07566 | + | 1.01892i | −0.0371139 | + | 0.0351561i | ||||
\(841\) | 2.49555 | − | 15.2222i | 0.0860533 | − | 0.524902i | ||||
\(842\) | 6.85576 | − | 2.30997i | 0.236265 | − | 0.0796070i | ||||
\(843\) | 15.7339 | − | 1.71116i | 0.541903 | − | 0.0589355i | ||||
\(844\) | 13.8079 | + | 6.38822i | 0.475288 | + | 0.219892i | ||||
\(845\) | −2.73439 | + | 50.4329i | −0.0940660 | + | 1.73495i | ||||
\(846\) | −5.95406 | + | 4.52616i | −0.204705 | + | 0.155613i | ||||
\(847\) | 6.12951 | + | 5.80618i | 0.210613 | + | 0.199503i | ||||
\(848\) | 12.1587 | − | 7.31565i | 0.417531 | − | 0.251220i | ||||
\(849\) | −7.03597 | + | 3.25519i | −0.241474 | + | 0.111718i | ||||
\(850\) | 0.451069 | + | 1.13210i | 0.0154715 | + | 0.0388307i | ||||
\(851\) | 49.7548 | − | 73.3829i | 1.70557 | − | 2.51553i | ||||
\(852\) | 6.71794 | + | 9.90821i | 0.230153 | + | 0.339450i | ||||
\(853\) | 15.9327 | − | 39.9881i | 0.545526 | − | 1.36917i | −0.355204 | − | 0.934789i | \(-0.615589\pi\) |
0.900730 | − | 0.434378i | \(-0.143032\pi\) | |||||||
\(854\) | −0.139472 | − | 2.57241i | −0.00477263 | − | 0.0880261i | ||||
\(855\) | 0.237171 | + | 0.279219i | 0.00811107 | + | 0.00954909i | ||||
\(856\) | −3.66577 | − | 4.31568i | −0.125294 | − | 0.147507i | ||||
\(857\) | −2.67604 | − | 49.3566i | −0.0914118 | − | 1.68599i | −0.580895 | − | 0.813978i | \(-0.697298\pi\) |
0.489484 | − | 0.872012i | \(-0.337185\pi\) | |||||||
\(858\) | 11.2860 | − | 28.3258i | 0.385299 | − | 0.967029i | ||||
\(859\) | 26.1096 | + | 38.5088i | 0.890847 | + | 1.31390i | 0.948896 | + | 0.315588i | \(0.102202\pi\) |
−0.0580489 | + | 0.998314i | \(0.518488\pi\) | |||||||
\(860\) | −5.38744 | + | 7.94589i | −0.183710 | + | 0.270952i | ||||
\(861\) | 3.62317 | + | 9.09348i | 0.123477 | + | 0.309905i | ||||
\(862\) | −35.6725 | + | 16.5038i | −1.21501 | + | 0.562123i | ||||
\(863\) | −7.29320 | + | 4.38817i | −0.248263 | + | 0.149375i | −0.634247 | − | 0.773131i | \(-0.718690\pi\) |
0.385984 | + | 0.922506i | \(0.373862\pi\) | |||||||
\(864\) | −0.725995 | − | 0.687699i | −0.0246989 | − | 0.0233960i | ||||
\(865\) | 10.0125 | − | 7.61128i | 0.340434 | − | 0.258791i | ||||
\(866\) | 1.65593 | − | 30.5419i | 0.0562709 | − | 1.03786i | ||||
\(867\) | −15.2808 | − | 7.06965i | −0.518963 | − | 0.240098i | ||||
\(868\) | 4.22326 | − | 0.459308i | 0.143347 | − | 0.0155899i | ||||
\(869\) | 27.9262 | − | 9.40943i | 0.947332 | − | 0.319193i | ||||
\(870\) | 0.839166 | − | 5.11869i | 0.0284504 | − | 0.173540i | ||||
\(871\) | 66.7837 | − | 63.2608i | 2.26288 | − | 2.14351i | ||||
\(872\) | 2.57227 | − | 9.26447i | 0.0871080 | − | 0.313734i | ||||
\(873\) | 0.147616 | − | 0.278433i | 0.00499603 | − | 0.00942352i | ||||
\(874\) | −2.18724 | − | 0.736966i | −0.0739844 | − | 0.0249283i | ||||
\(875\) | −11.6020 | − | 2.55379i | −0.392219 | − | 0.0863340i | ||||
\(876\) | 0.990971 | + | 3.56915i | 0.0334818 | + | 0.120591i | ||||
\(877\) | 13.3005 | + | 8.00265i | 0.449126 | + | 0.270230i | 0.722097 | − | 0.691792i | \(-0.243179\pi\) |
−0.272970 | + | 0.962022i | \(0.588006\pi\) | |||||||
\(878\) | −7.28066 | − | 0.791819i | −0.245710 | − | 0.0267226i | ||||
\(879\) | 9.03329 | − | 1.98838i | 0.304685 | − | 0.0670663i | ||||
\(880\) | 2.87614 | + | 5.42498i | 0.0969548 | + | 0.182876i | ||||
\(881\) | −0.660633 | − | 4.02968i | −0.0222573 | − | 0.135763i | 0.973360 | − | 0.229281i | \(-0.0736373\pi\) |
−0.995618 | + | 0.0935171i | \(0.970189\pi\) | |||||||
\(882\) | −4.69091 | − | 3.56594i | −0.157951 | − | 0.120071i | ||||
\(883\) | −21.3026 | + | 25.0793i | −0.716888 | + | 0.843986i | −0.993120 | − | 0.117105i | \(-0.962639\pi\) |
0.276231 | + | 0.961091i | \(0.410914\pi\) | |||||||
\(884\) | 2.82298 | 0.0949471 | ||||||||
\(885\) | −10.5683 | + | 2.29127i | −0.355250 | + | 0.0770203i | ||||
\(886\) | 3.35088 | 0.112575 | ||||||||
\(887\) | 2.51051 | − | 2.95560i | 0.0842947 | − | 0.0992394i | −0.718398 | − | 0.695633i | \(-0.755124\pi\) |
0.802692 | + | 0.596393i | \(0.203400\pi\) | |||||||
\(888\) | 7.95773 | + | 6.04931i | 0.267044 | + | 0.203002i | ||||
\(889\) | −2.03463 | − | 12.4107i | −0.0682392 | − | 0.416241i | ||||
\(890\) | −0.793505 | − | 1.49671i | −0.0265983 | − | 0.0501698i | ||||
\(891\) | −4.25950 | + | 0.937586i | −0.142699 | + | 0.0314103i | ||||
\(892\) | −19.9676 | − | 2.17160i | −0.668563 | − | 0.0727106i | ||||
\(893\) | −1.66764 | − | 1.00339i | −0.0558054 | − | 0.0335770i | ||||
\(894\) | −3.33622 | − | 12.0160i | −0.111580 | − | 0.401875i | ||||
\(895\) | −12.3793 | − | 2.72490i | −0.413796 | − | 0.0910833i | ||||
\(896\) | 0.997328 | + | 0.336039i | 0.0333184 | + | 0.0112263i | ||||
\(897\) | −29.0451 | + | 54.7848i | −0.969787 | + | 1.82921i | ||||
\(898\) | −6.69741 | + | 24.1219i | −0.223496 | + | 0.804958i | ||||
\(899\) | −10.7972 | + | 10.2277i | −0.360107 | + | 0.341111i | ||||
\(900\) | 0.488255 | − | 2.97823i | 0.0162752 | − | 0.0992742i | ||||
\(901\) | 5.42988 | − | 1.82954i | 0.180896 | − | 0.0609508i | ||||
\(902\) | 40.3288 | − | 4.38603i | 1.34280 | − | 0.146039i | ||||
\(903\) | 6.51318 | + | 3.01332i | 0.216745 | + | 0.100277i | ||||
\(904\) | −0.269103 | + | 4.96331i | −0.00895023 | + | 0.165077i | ||||
\(905\) | 0.778252 | − | 0.591612i | 0.0258700 | − | 0.0196658i | ||||
\(906\) | −13.8837 | − | 13.1514i | −0.461256 | − | 0.436925i | ||||
\(907\) | 32.3156 | − | 19.4437i | 1.07302 | − | 0.645616i | 0.134528 | − | 0.990910i | \(-0.457048\pi\) |
0.938495 | + | 0.345293i | \(0.112221\pi\) | |||||||
\(908\) | −3.99945 | + | 1.85034i | −0.132726 | + | 0.0614057i | ||||
\(909\) | 0.224684 | + | 0.563915i | 0.00745231 | + | 0.0187039i | ||||
\(910\) | −5.81293 | + | 8.57344i | −0.192697 | + | 0.284207i | ||||
\(911\) | 3.36807 | + | 4.96753i | 0.111589 | + | 0.164582i | 0.879383 | − | 0.476116i | \(-0.157956\pi\) |
−0.767793 | + | 0.640697i | \(0.778645\pi\) | |||||||
\(912\) | 0.0963182 | − | 0.241740i | 0.00318941 | − | 0.00800482i | ||||
\(913\) | −1.47411 | − | 27.1883i | −0.0487858 | − | 0.899801i | ||||
\(914\) | −10.3238 | − | 12.1541i | −0.341480 | − | 0.402021i | ||||
\(915\) | −2.23103 | − | 2.62658i | −0.0737557 | − | 0.0868319i | ||||
\(916\) | −1.46895 | − | 27.0932i | −0.0485356 | − | 0.895186i | ||||
\(917\) | −3.66477 | + | 9.19787i | −0.121021 | + | 0.303740i | ||||
\(918\) | −0.226605 | − | 0.334218i | −0.00747909 | − | 0.0110308i | ||||
\(919\) | 7.81437 | − | 11.5253i | 0.257772 | − | 0.380186i | −0.676678 | − | 0.736279i | \(-0.736581\pi\) |
0.934450 | + | 0.356093i | \(0.115891\pi\) | |||||||
\(920\) | −4.62189 | − | 11.6001i | −0.152379 | − | 0.382443i | ||||
\(921\) | −9.06240 | + | 4.19271i | −0.298616 | + | 0.138155i | ||||
\(922\) | 22.5947 | − | 13.5948i | 0.744117 | − | 0.447721i | ||||
\(923\) | 60.7586 | + | 57.5536i | 1.99989 | + | 1.89440i | ||||
\(924\) | 3.65414 | − | 2.77780i | 0.120212 | − | 0.0913830i | ||||
\(925\) | −1.63325 | + | 30.1235i | −0.0537008 | + | 0.990453i | ||||
\(926\) | 21.1167 | + | 9.76962i | 0.693937 | + | 0.321050i | ||||
\(927\) | 4.96259 | − | 0.539714i | 0.162993 | − | 0.0177265i | ||||
\(928\) | −3.49151 | + | 1.17643i | −0.114615 | + | 0.0386181i | ||||
\(929\) | −2.82012 | + | 17.2020i | −0.0925252 | + | 0.564379i | 0.899357 | + | 0.437216i | \(0.144035\pi\) |
−0.991882 | + | 0.127163i | \(0.959413\pi\) | |||||||
\(930\) | 4.12573 | − | 3.90810i | 0.135288 | − | 0.128152i | ||||
\(931\) | 0.410211 | − | 1.47745i | 0.0134441 | − | 0.0484214i | ||||
\(932\) | −1.05846 | + | 1.99647i | −0.0346710 | + | 0.0653965i | ||||
\(933\) | 16.0546 | + | 5.40943i | 0.525605 | + | 0.177097i | ||||
\(934\) | −14.4497 | − | 3.18062i | −0.472809 | − | 0.104073i | ||||
\(935\) | 0.663313 | + | 2.38904i | 0.0216926 | + | 0.0781298i | ||||
\(936\) | −5.99038 | − | 3.60429i | −0.195802 | − | 0.117810i | ||||
\(937\) | −55.5972 | − | 6.04656i | −1.81628 | − | 0.197533i | −0.864153 | − | 0.503229i | \(-0.832145\pi\) |
−0.952129 | + | 0.305696i | \(0.901111\pi\) | |||||||
\(938\) | 13.5240 | − | 2.97686i | 0.441574 | − | 0.0971978i | ||||
\(939\) | −5.99956 | − | 11.3164i | −0.195788 | − | 0.369296i | ||||
\(940\) | −1.70346 | − | 10.3907i | −0.0555609 | − | 0.338906i | ||||
\(941\) | 25.3623 | + | 19.2799i | 0.826787 | + | 0.628507i | 0.930579 | − | 0.366092i | \(-0.119304\pi\) |
−0.103792 | + | 0.994599i | \(0.533098\pi\) | |||||||
\(942\) | −4.44484 | + | 5.23287i | −0.144821 | + | 0.170496i | ||||
\(943\) | −82.4971 | −2.68648 | ||||||||
\(944\) | 4.95415 | + | 5.86996i | 0.161244 | + | 0.191051i | ||||
\(945\) | 1.48164 | 0.0481977 | ||||||||
\(946\) | 19.2539 | − | 22.6674i | 0.625997 | − | 0.736980i | ||||
\(947\) | 23.8516 | + | 18.1315i | 0.775073 | + | 0.589195i | 0.916165 | − | 0.400801i | \(-0.131268\pi\) |
−0.141092 | + | 0.989996i | \(0.545061\pi\) | |||||||
\(948\) | −1.09310 | − | 6.66762i | −0.0355023 | − | 0.216554i | ||||
\(949\) | 12.1300 | + | 22.8796i | 0.393757 | + | 0.742704i | ||||
\(950\) | 0.766985 | − | 0.168826i | 0.0248843 | − | 0.00547745i | ||||
\(951\) | 10.3554 | + | 1.12622i | 0.335798 | + | 0.0365202i | ||||
\(952\) | 0.364132 | + | 0.219091i | 0.0118016 | + | 0.00710079i | ||||
\(953\) | −2.75122 | − | 9.90900i | −0.0891208 | − | 0.320984i | 0.905530 | − | 0.424283i | \(-0.139474\pi\) |
−0.994650 | + | 0.103299i | \(0.967060\pi\) | |||||||
\(954\) | −13.8581 | − | 3.05040i | −0.448673 | − | 0.0987605i | ||||
\(955\) | −2.07113 | − | 0.697844i | −0.0670201 | − | 0.0225817i | ||||
\(956\) | −7.63252 | + | 14.3965i | −0.246853 | + | 0.465615i | ||||
\(957\) | −4.29899 | + | 15.4836i | −0.138967 | + | 0.500513i | ||||
\(958\) | 18.9376 | − | 17.9387i | 0.611848 | − | 0.579573i | ||||
\(959\) | 0.866600 | − | 5.28603i | 0.0279840 | − | 0.170695i | ||||
\(960\) | 1.33414 | − | 0.449526i | 0.0430593 | − | 0.0145084i | ||||
\(961\) | 14.6198 | − | 1.59000i | 0.471608 | − | 0.0512905i | ||||
\(962\) | 63.4240 | + | 29.3431i | 2.04487 | + | 0.946059i | ||||
\(963\) | −0.306557 | + | 5.65412i | −0.00987867 | + | 0.182201i | ||||
\(964\) | 0.343808 | − | 0.261356i | 0.0110733 | − | 0.00841772i | ||||
\(965\) | 17.7796 | + | 16.8418i | 0.572346 | + | 0.542155i | ||||
\(966\) | −7.99833 | + | 4.81244i | −0.257342 | + | 0.154838i | ||||
\(967\) | 19.0129 | − | 8.79629i | 0.611413 | − | 0.282870i | −0.0896453 | − | 0.995974i | \(-0.528573\pi\) |
0.701058 | + | 0.713104i | \(0.252711\pi\) | |||||||
\(968\) | −2.96939 | − | 7.45261i | −0.0954398 | − | 0.239536i | ||||
\(969\) | 0.0589677 | − | 0.0869709i | 0.00189432 | − | 0.00279391i | ||||
\(970\) | 0.248983 | + | 0.367222i | 0.00799435 | + | 0.0117908i | ||||
\(971\) | 2.74506 | − | 6.88958i | 0.0880931 | − | 0.221097i | −0.878329 | − | 0.478057i | \(-0.841341\pi\) |
0.966422 | + | 0.256960i | \(0.0827207\pi\) | |||||||
\(972\) | 0.0541389 | + | 0.998533i | 0.00173651 | + | 0.0320280i | ||||
\(973\) | 4.94750 | + | 5.82464i | 0.158609 | + | 0.186730i | ||||
\(974\) | −12.1059 | − | 14.2522i | −0.387899 | − | 0.456670i | ||||
\(975\) | −1.14228 | − | 21.0681i | −0.0365822 | − | 0.674719i | ||||
\(976\) | −0.906052 | + | 2.27402i | −0.0290020 | + | 0.0727896i | ||||
\(977\) | −13.1118 | − | 19.3385i | −0.419483 | − | 0.618692i | 0.557965 | − | 0.829864i | \(-0.311582\pi\) |
−0.977449 | + | 0.211172i | \(0.932272\pi\) | |||||||
\(978\) | 2.11672 | − | 3.12193i | 0.0676853 | − | 0.0998283i | ||||
\(979\) | 1.94253 | + | 4.87538i | 0.0620835 | + | 0.155818i | ||||
\(980\) | 7.52887 | − | 3.48322i | 0.240501 | − | 0.111268i | ||||
\(981\) | −8.23862 | + | 4.95702i | −0.263039 | + | 0.158265i | ||||
\(982\) | 12.6219 | + | 11.9561i | 0.402782 | + | 0.381536i | ||||
\(983\) | 18.1664 | − | 13.8097i | 0.579417 | − | 0.440461i | −0.273971 | − | 0.961738i | \(-0.588337\pi\) |
0.853388 | + | 0.521277i | \(0.174544\pi\) | |||||||
\(984\) | 0.503554 | − | 9.28751i | 0.0160527 | − | 0.296075i | ||||
\(985\) | −22.6071 | − | 10.4591i | −0.720321 | − | 0.333256i | ||||
\(986\) | −1.47902 | + | 0.160853i | −0.0471015 | + | 0.00512260i | ||||
\(987\) | −7.45912 | + | 2.51327i | −0.237426 | + | 0.0799982i | ||||
\(988\) | 0.294320 | − | 1.79527i | 0.00936357 | − | 0.0571153i | ||||
\(989\) | −43.9094 | + | 41.5932i | −1.39624 | + | 1.32259i | ||||
\(990\) | 1.64269 | − | 5.91644i | 0.0522081 | − | 0.188037i | ||||
\(991\) | −24.4869 | + | 46.1872i | −0.777852 | + | 1.46718i | 0.103452 | + | 0.994634i | \(0.467011\pi\) |
−0.881304 | + | 0.472550i | \(0.843333\pi\) | |||||||
\(992\) | −3.82527 | − | 1.28888i | −0.121453 | − | 0.0409221i | ||||
\(993\) | 0.114153 | + | 0.0251270i | 0.00362254 | + | 0.000797380i | ||||
\(994\) | 3.37044 | + | 12.1392i | 0.106904 | + | 0.385033i | ||||
\(995\) | −30.3667 | − | 18.2711i | −0.962690 | − | 0.579231i | ||||
\(996\) | −6.20631 | − | 0.674977i | −0.196654 | − | 0.0213874i | ||||
\(997\) | −1.13175 | + | 0.249116i | −0.0358428 | + | 0.00788959i | −0.232856 | − | 0.972511i | \(-0.574807\pi\) |
0.197013 | + | 0.980401i | \(0.436876\pi\) | |||||||
\(998\) | −12.3750 | − | 23.3418i | −0.391725 | − | 0.738872i | ||||
\(999\) | −1.61717 | − | 9.86430i | −0.0511650 | − | 0.312093i |
(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 | 354.2.e.a.127.1 | ✓ | 56 | |
59.46 | even | 29 | inner | 354.2.e.a.223.1 | yes | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
354.2.e.a.127.1 | ✓ | 56 | 1.1 | even | 1 | trivial | |
354.2.e.a.223.1 | yes | 56 | 59.46 | even | 29 | inner |