Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(139,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.139");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.w (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(96\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 139.10 | ||
Character | \(\chi\) | \(=\) | 770.139 |
Dual form | 770.2.w.a.349.10 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.809017 | − | 0.587785i | −0.572061 | − | 0.415627i | ||||
\(3\) | −0.266549 | + | 0.820354i | −0.153892 | + | 0.473631i | −0.998047 | − | 0.0624681i | \(-0.980103\pi\) |
0.844155 | + | 0.536100i | \(0.180103\pi\) | |||||||
\(4\) | 0.309017 | + | 0.951057i | 0.154508 | + | 0.475528i | ||||
\(5\) | 1.93580 | + | 1.11923i | 0.865717 | + | 0.500534i | ||||
\(6\) | 0.697835 | − | 0.507006i | 0.284890 | − | 0.206985i | ||||
\(7\) | −2.50422 | − | 0.853746i | −0.946506 | − | 0.322685i | ||||
\(8\) | 0.309017 | − | 0.951057i | 0.109254 | − | 0.336249i | ||||
\(9\) | 1.82512 | + | 1.32603i | 0.608373 | + | 0.442009i | ||||
\(10\) | −0.908230 | − | 2.04331i | −0.287207 | − | 0.646152i | ||||
\(11\) | −3.27459 | + | 0.526346i | −0.987327 | + | 0.158699i | ||||
\(12\) | −0.862571 | −0.249003 | ||||||||
\(13\) | −1.64268 | + | 2.26095i | −0.455597 | + | 0.627075i | −0.973588 | − | 0.228310i | \(-0.926680\pi\) |
0.517992 | + | 0.855386i | \(0.326680\pi\) | |||||||
\(14\) | 1.52414 | + | 2.16264i | 0.407343 | + | 0.577989i | ||||
\(15\) | −1.43415 | + | 1.28971i | −0.370296 | + | 0.333002i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 1.88281 | + | 2.59146i | 0.456648 | + | 0.628522i | 0.973809 | − | 0.227366i | \(-0.0730113\pi\) |
−0.517161 | + | 0.855888i | \(0.673011\pi\) | |||||||
\(18\) | −0.697133 | − | 2.14556i | −0.164316 | − | 0.505712i | ||||
\(19\) | −0.715313 | + | 2.20151i | −0.164104 | + | 0.505060i | −0.998969 | − | 0.0453942i | \(-0.985546\pi\) |
0.834865 | + | 0.550455i | \(0.185546\pi\) | |||||||
\(20\) | −0.466255 | + | 2.18692i | −0.104258 | + | 0.489010i | ||||
\(21\) | 1.36787 | − | 1.82678i | 0.298494 | − | 0.398636i | ||||
\(22\) | 2.95858 | + | 1.49893i | 0.630771 | + | 0.319574i | ||||
\(23\) | − | 5.07812i | − | 1.05886i | −0.848353 | − | 0.529430i | \(-0.822406\pi\) | ||
0.848353 | − | 0.529430i | \(-0.177594\pi\) | |||||||
\(24\) | 0.697835 | + | 0.507006i | 0.142445 | + | 0.103492i | ||||
\(25\) | 2.49465 | + | 4.33321i | 0.498931 | + | 0.866642i | ||||
\(26\) | 2.65791 | − | 0.863607i | 0.521259 | − | 0.169367i | ||||
\(27\) | −3.66780 | + | 2.66481i | −0.705868 | + | 0.512843i | ||||
\(28\) | 0.0381137 | − | 2.64548i | 0.00720281 | − | 0.499948i | ||||
\(29\) | −4.94646 | + | 1.60720i | −0.918535 | + | 0.298450i | −0.729866 | − | 0.683590i | \(-0.760418\pi\) |
−0.188670 | + | 0.982041i | \(0.560418\pi\) | |||||||
\(30\) | 1.91833 | − | 0.200427i | 0.350237 | − | 0.0365928i | ||||
\(31\) | 2.37730 | − | 3.27208i | 0.426976 | − | 0.587682i | −0.540280 | − | 0.841486i | \(-0.681682\pi\) |
0.967256 | + | 0.253803i | \(0.0816815\pi\) | |||||||
\(32\) | 1.00000 | 0.176777 | ||||||||
\(33\) | 0.441050 | − | 2.82662i | 0.0767769 | − | 0.492052i | ||||
\(34\) | − | 3.20322i | − | 0.549348i | ||||||
\(35\) | −3.89214 | − | 4.45548i | −0.657891 | − | 0.753113i | ||||
\(36\) | −0.697133 | + | 2.14556i | −0.116189 | + | 0.357593i | ||||
\(37\) | −4.11787 | + | 1.33798i | −0.676974 | + | 0.219962i | −0.627270 | − | 0.778802i | \(-0.715828\pi\) |
−0.0497042 | + | 0.998764i | \(0.515828\pi\) | |||||||
\(38\) | 1.87271 | − | 1.36061i | 0.303794 | − | 0.220720i | ||||
\(39\) | −1.41693 | − | 1.95023i | −0.226890 | − | 0.312287i | ||||
\(40\) | 1.66265 | − | 1.49520i | 0.262887 | − | 0.236411i | ||||
\(41\) | −0.541521 | + | 1.66663i | −0.0845713 | + | 0.260284i | −0.984396 | − | 0.175968i | \(-0.943694\pi\) |
0.899824 | + | 0.436252i | \(0.143694\pi\) | |||||||
\(42\) | −2.18039 | + | 0.673883i | −0.336441 | + | 0.103982i | ||||
\(43\) | −9.38054 | −1.43052 | −0.715259 | − | 0.698859i | \(-0.753691\pi\) | ||||
−0.715259 | + | 0.698859i | \(0.753691\pi\) | |||||||
\(44\) | −1.51249 | − | 2.95167i | −0.228016 | − | 0.444981i | ||||
\(45\) | 2.04894 | + | 4.60965i | 0.305438 | + | 0.687166i | ||||
\(46\) | −2.98484 | + | 4.10828i | −0.440091 | + | 0.605733i | ||||
\(47\) | −2.33266 | + | 7.17920i | −0.340254 | + | 1.04719i | 0.623822 | + | 0.781566i | \(0.285579\pi\) |
−0.964076 | + | 0.265627i | \(0.914421\pi\) | |||||||
\(48\) | −0.266549 | − | 0.820354i | −0.0384730 | − | 0.118408i | ||||
\(49\) | 5.54224 | + | 4.27593i | 0.791748 | + | 0.610848i | ||||
\(50\) | 0.528780 | − | 4.97196i | 0.0747808 | − | 0.703141i | ||||
\(51\) | −2.62778 | + | 0.853816i | −0.367962 | + | 0.119558i | ||||
\(52\) | −2.65791 | − | 0.863607i | −0.368586 | − | 0.119761i | ||||
\(53\) | −1.07728 | + | 1.48275i | −0.147976 | + | 0.203672i | −0.876570 | − | 0.481274i | \(-0.840174\pi\) |
0.728594 | + | 0.684946i | \(0.240174\pi\) | |||||||
\(54\) | 4.53365 | 0.616951 | ||||||||
\(55\) | −6.92806 | − | 2.64612i | −0.934180 | − | 0.356802i | ||||
\(56\) | −1.58581 | + | 2.11783i | −0.211912 | + | 0.283007i | ||||
\(57\) | −1.61535 | − | 1.17362i | −0.213958 | − | 0.155450i | ||||
\(58\) | 4.94646 | + | 1.60720i | 0.649503 | + | 0.211036i | ||||
\(59\) | 9.20055 | − | 2.98944i | 1.19781 | − | 0.389192i | 0.358855 | − | 0.933393i | \(-0.383167\pi\) |
0.838954 | + | 0.544202i | \(0.183167\pi\) | |||||||
\(60\) | −1.66977 | − | 0.965414i | −0.215566 | − | 0.124634i | ||||
\(61\) | −6.40016 | + | 4.64999i | −0.819457 | + | 0.595370i | −0.916557 | − | 0.399904i | \(-0.869043\pi\) |
0.0971000 | + | 0.995275i | \(0.469043\pi\) | |||||||
\(62\) | −3.84656 | + | 1.24982i | −0.488513 | + | 0.158728i | ||||
\(63\) | −3.43841 | − | 4.87885i | −0.433199 | − | 0.614677i | ||||
\(64\) | −0.809017 | − | 0.587785i | −0.101127 | − | 0.0734732i | ||||
\(65\) | −5.71042 | + | 2.53822i | −0.708291 | + | 0.314828i | ||||
\(66\) | −2.01826 | + | 2.02754i | −0.248431 | + | 0.249573i | ||||
\(67\) | 7.62687i | 0.931770i | 0.884845 | + | 0.465885i | \(0.154264\pi\) | ||||
−0.884845 | + | 0.465885i | \(0.845736\pi\) | |||||||
\(68\) | −1.88281 | + | 2.59146i | −0.228324 | + | 0.314261i | ||||
\(69\) | 4.16585 | + | 1.35357i | 0.501510 | + | 0.162950i | ||||
\(70\) | 0.529940 | + | 5.89230i | 0.0633399 | + | 0.704264i | ||||
\(71\) | −6.31238 | + | 4.58621i | −0.749141 | + | 0.544283i | −0.895561 | − | 0.444940i | \(-0.853225\pi\) |
0.146419 | + | 0.989223i | \(0.453225\pi\) | |||||||
\(72\) | 1.82512 | − | 1.32603i | 0.215092 | − | 0.156274i | ||||
\(73\) | 5.53071 | − | 1.79704i | 0.647320 | − | 0.210327i | 0.0330882 | − | 0.999452i | \(-0.489466\pi\) |
0.614232 | + | 0.789125i | \(0.289466\pi\) | |||||||
\(74\) | 4.11787 | + | 1.33798i | 0.478693 | + | 0.155537i | ||||
\(75\) | −4.21971 | + | 0.891485i | −0.487250 | + | 0.102940i | ||||
\(76\) | −2.31480 | −0.265526 | ||||||||
\(77\) | 8.64967 | + | 1.47758i | 0.985721 | + | 0.168386i | ||||
\(78\) | 2.41062i | 0.272949i | ||||||||
\(79\) | 7.48280 | − | 10.2992i | 0.841881 | − | 1.15875i | −0.143713 | − | 0.989619i | \(-0.545904\pi\) |
0.985594 | − | 0.169130i | \(-0.0540959\pi\) | |||||||
\(80\) | −2.22396 | + | 0.232360i | −0.248647 | + | 0.0259786i | ||||
\(81\) | 0.882961 | + | 2.71747i | 0.0981067 | + | 0.301941i | ||||
\(82\) | 1.41772 | − | 1.03003i | 0.156561 | − | 0.113748i | ||||
\(83\) | 5.00477 | + | 6.88848i | 0.549345 | + | 0.756109i | 0.989923 | − | 0.141606i | \(-0.0452265\pi\) |
−0.440578 | + | 0.897714i | \(0.645227\pi\) | |||||||
\(84\) | 2.16007 | + | 0.736416i | 0.235683 | + | 0.0803496i | ||||
\(85\) | 0.744301 | + | 7.12385i | 0.0807308 | + | 0.772690i | ||||
\(86\) | 7.58901 | + | 5.51374i | 0.818344 | + | 0.594562i | ||||
\(87\) | − | 4.48625i | − | 0.480976i | ||||||
\(88\) | −0.511320 | + | 3.27697i | −0.0545069 | + | 0.349326i | ||||
\(89\) | 10.0985i | 1.07044i | 0.844713 | + | 0.535220i | \(0.179771\pi\) | ||||
−0.844713 | + | 0.535220i | \(0.820229\pi\) | |||||||
\(90\) | 1.05186 | − | 4.93362i | 0.110875 | − | 0.520049i | ||||
\(91\) | 6.04390 | − | 4.25949i | 0.633573 | − | 0.446516i | ||||
\(92\) | 4.82958 | − | 1.56922i | 0.503518 | − | 0.163603i | ||||
\(93\) | 2.05059 | + | 2.82240i | 0.212637 | + | 0.292669i | ||||
\(94\) | 6.10699 | − | 4.43699i | 0.629888 | − | 0.457640i | ||||
\(95\) | −3.84870 | + | 3.46108i | −0.394868 | + | 0.355099i | ||||
\(96\) | −0.266549 | + | 0.820354i | −0.0272046 | + | 0.0837270i | ||||
\(97\) | −2.05624 | − | 1.49394i | −0.208779 | − | 0.151687i | 0.478482 | − | 0.878097i | \(-0.341187\pi\) |
−0.687261 | + | 0.726410i | \(0.741187\pi\) | |||||||
\(98\) | −1.97043 | − | 6.71695i | −0.199044 | − | 0.678514i | ||||
\(99\) | −6.67447 | − | 3.38155i | −0.670810 | − | 0.339859i | ||||
\(100\) | −3.35024 | + | 3.71159i | −0.335024 | + | 0.371159i | ||||
\(101\) | −14.5947 | − | 10.6037i | −1.45223 | − | 1.05511i | −0.985304 | − | 0.170812i | \(-0.945361\pi\) |
−0.466928 | − | 0.884296i | \(-0.654639\pi\) | |||||||
\(102\) | 2.62778 | + | 0.853816i | 0.260189 | + | 0.0845404i | ||||
\(103\) | 4.61982 | + | 14.2183i | 0.455204 | + | 1.40098i | 0.870895 | + | 0.491469i | \(0.163540\pi\) |
−0.415691 | + | 0.909506i | \(0.636460\pi\) | |||||||
\(104\) | 1.64268 | + | 2.26095i | 0.161078 | + | 0.221705i | ||||
\(105\) | 4.69251 | − | 2.00532i | 0.457942 | − | 0.195700i | ||||
\(106\) | 1.74308 | − | 0.566362i | 0.169303 | − | 0.0550099i | ||||
\(107\) | −3.71561 | + | 11.4355i | −0.359201 | + | 1.10551i | 0.594332 | + | 0.804220i | \(0.297417\pi\) |
−0.953533 | + | 0.301288i | \(0.902583\pi\) | |||||||
\(108\) | −3.66780 | − | 2.66481i | −0.352934 | − | 0.256422i | ||||
\(109\) | − | 9.34603i | − | 0.895188i | −0.894237 | − | 0.447594i | \(-0.852281\pi\) | ||
0.894237 | − | 0.447594i | \(-0.147719\pi\) | |||||||
\(110\) | 4.04957 | + | 6.21297i | 0.386112 | + | 0.592383i | ||||
\(111\) | − | 3.73475i | − | 0.354487i | ||||||
\(112\) | 2.52778 | − | 0.781249i | 0.238852 | − | 0.0738211i | ||||
\(113\) | 0.283887 | + | 0.0922405i | 0.0267058 | + | 0.00867725i | 0.322339 | − | 0.946624i | \(-0.395531\pi\) |
−0.295634 | + | 0.955301i | \(0.595531\pi\) | |||||||
\(114\) | 0.617008 | + | 1.89896i | 0.0577881 | + | 0.177854i | ||||
\(115\) | 5.68358 | − | 9.83022i | 0.529996 | − | 0.916673i | ||||
\(116\) | −3.05708 | − | 4.20771i | −0.283843 | − | 0.390676i | ||||
\(117\) | −5.99617 | + | 1.94827i | −0.554346 | + | 0.180118i | ||||
\(118\) | −9.20055 | − | 2.98944i | −0.846979 | − | 0.275200i | ||||
\(119\) | −2.50252 | − | 8.09703i | −0.229405 | − | 0.742254i | ||||
\(120\) | 0.783413 | + | 1.76250i | 0.0715155 | + | 0.160894i | ||||
\(121\) | 10.4459 | − | 3.44714i | 0.949629 | − | 0.313376i | ||||
\(122\) | 7.91104 | 0.716232 | ||||||||
\(123\) | −1.22288 | − | 0.888477i | −0.110264 | − | 0.0801113i | ||||
\(124\) | 3.84656 | + | 1.24982i | 0.345431 | + | 0.112237i | ||||
\(125\) | −0.0207026 | + | 11.1803i | −0.00185170 | + | 0.999998i | ||||
\(126\) | −0.0859834 | + | 5.96812i | −0.00766001 | + | 0.531682i | ||||
\(127\) | 11.4465 | − | 8.31638i | 1.01571 | − | 0.737959i | 0.0503137 | − | 0.998733i | \(-0.483978\pi\) |
0.965400 | + | 0.260774i | \(0.0839779\pi\) | |||||||
\(128\) | 0.309017 | + | 0.951057i | 0.0273135 | + | 0.0840623i | ||||
\(129\) | 2.50037 | − | 7.69536i | 0.220146 | − | 0.677539i | ||||
\(130\) | 6.11176 | + | 1.30304i | 0.536036 | + | 0.114284i | ||||
\(131\) | −6.97684 | −0.609570 | −0.304785 | − | 0.952421i | \(-0.598585\pi\) | ||||
−0.304785 | + | 0.952421i | \(0.598585\pi\) | |||||||
\(132\) | 2.82457 | − | 0.454011i | 0.245847 | − | 0.0395166i | ||||
\(133\) | 3.67083 | − | 4.90236i | 0.318301 | − | 0.425089i | ||||
\(134\) | 4.48296 | − | 6.17027i | 0.387269 | − | 0.533030i | ||||
\(135\) | −10.0827 | + | 1.05344i | −0.867777 | + | 0.0906656i | ||||
\(136\) | 3.04645 | − | 0.989851i | 0.261231 | − | 0.0848790i | ||||
\(137\) | 0.368589 | + | 0.507319i | 0.0314907 | + | 0.0433432i | 0.824472 | − | 0.565903i | \(-0.191472\pi\) |
−0.792981 | + | 0.609246i | \(0.791472\pi\) | |||||||
\(138\) | −2.57464 | − | 3.54369i | −0.219168 | − | 0.301659i | ||||
\(139\) | −1.58606 | − | 4.88139i | −0.134528 | − | 0.414034i | 0.860988 | − | 0.508625i | \(-0.169846\pi\) |
−0.995516 | + | 0.0945903i | \(0.969846\pi\) | |||||||
\(140\) | 3.03467 | − | 5.07846i | 0.256477 | − | 0.429208i | ||||
\(141\) | −5.26771 | − | 3.82722i | −0.443621 | − | 0.322310i | ||||
\(142\) | 7.80253 | 0.654774 | ||||||||
\(143\) | 4.18906 | − | 8.26831i | 0.350307 | − | 0.691431i | ||||
\(144\) | −2.25597 | −0.187998 | ||||||||
\(145\) | −11.3742 | − | 2.42500i | −0.944576 | − | 0.201385i | ||||
\(146\) | −5.53071 | − | 1.79704i | −0.457725 | − | 0.148724i | ||||
\(147\) | −4.98506 | + | 3.40685i | −0.411161 | + | 0.280992i | ||||
\(148\) | −2.54499 | − | 3.50287i | −0.209197 | − | 0.287934i | ||||
\(149\) | −0.477780 | − | 0.657608i | −0.0391413 | − | 0.0538734i | 0.788998 | − | 0.614396i | \(-0.210600\pi\) |
−0.828139 | + | 0.560523i | \(0.810600\pi\) | |||||||
\(150\) | 3.93782 | + | 1.75906i | 0.321522 | + | 0.143627i | ||||
\(151\) | 22.4671 | + | 7.30000i | 1.82835 | + | 0.594066i | 0.999396 | + | 0.0347436i | \(0.0110614\pi\) |
0.828950 | + | 0.559322i | \(0.188939\pi\) | |||||||
\(152\) | 1.87271 | + | 1.36061i | 0.151897 | + | 0.110360i | ||||
\(153\) | 7.22638i | 0.584218i | ||||||||
\(154\) | −6.12923 | − | 6.27954i | −0.493907 | − | 0.506019i | ||||
\(155\) | 8.26419 | − | 3.67334i | 0.663796 | − | 0.295050i | ||||
\(156\) | 1.41693 | − | 1.95023i | 0.113445 | − | 0.156143i | ||||
\(157\) | 6.32923 | − | 19.4794i | 0.505128 | − | 1.55462i | −0.295428 | − | 0.955365i | \(-0.595462\pi\) |
0.800556 | − | 0.599258i | \(-0.204538\pi\) | |||||||
\(158\) | −12.1074 | + | 3.93394i | −0.963215 | + | 0.312968i | ||||
\(159\) | −0.929234 | − | 1.27898i | −0.0736930 | − | 0.101430i | ||||
\(160\) | 1.93580 | + | 1.11923i | 0.153039 | + | 0.0884828i | ||||
\(161\) | −4.33542 | + | 12.7167i | −0.341679 | + | 1.00222i | ||||
\(162\) | 0.882961 | − | 2.71747i | 0.0693719 | − | 0.213505i | ||||
\(163\) | 10.4294 | − | 14.3549i | 0.816897 | − | 1.12436i | −0.173325 | − | 0.984865i | \(-0.555451\pi\) |
0.990222 | − | 0.139498i | \(-0.0445488\pi\) | |||||||
\(164\) | −1.75240 | −0.136839 | ||||||||
\(165\) | 4.01742 | − | 4.97814i | 0.312756 | − | 0.387548i | ||||
\(166\) | − | 8.51463i | − | 0.660863i | ||||||
\(167\) | −8.81319 | + | 12.1303i | −0.681985 | + | 0.938672i | −0.999956 | − | 0.00942838i | \(-0.996999\pi\) |
0.317970 | + | 0.948101i | \(0.396999\pi\) | |||||||
\(168\) | −1.31468 | − | 1.86543i | −0.101430 | − | 0.143921i | ||||
\(169\) | 1.60371 | + | 4.93570i | 0.123362 | + | 0.379670i | ||||
\(170\) | 3.58514 | − | 6.20081i | 0.274968 | − | 0.475580i | ||||
\(171\) | −4.22479 | + | 3.06949i | −0.323078 | + | 0.234730i | ||||
\(172\) | −2.89875 | − | 8.92142i | −0.221027 | − | 0.680252i | ||||
\(173\) | 9.90285 | + | 3.21763i | 0.752900 | + | 0.244632i | 0.660229 | − | 0.751065i | \(-0.270459\pi\) |
0.0926713 | + | 0.995697i | \(0.470459\pi\) | |||||||
\(174\) | −2.63695 | + | 3.62945i | −0.199907 | + | 0.275148i | ||||
\(175\) | −2.54770 | − | 12.9811i | −0.192588 | − | 0.981280i | ||||
\(176\) | 2.33982 | − | 2.35058i | 0.176371 | − | 0.177182i | ||||
\(177\) | 8.34453i | 0.627214i | ||||||||
\(178\) | 5.93576 | − | 8.16987i | 0.444904 | − | 0.612357i | ||||
\(179\) | 6.37999 | − | 19.6356i | 0.476863 | − | 1.46763i | −0.366565 | − | 0.930392i | \(-0.619466\pi\) |
0.843428 | − | 0.537242i | \(-0.180534\pi\) | |||||||
\(180\) | −3.75088 | + | 3.37312i | −0.279574 | + | 0.251417i | ||||
\(181\) | −9.18635 | − | 12.6439i | −0.682816 | − | 0.939816i | 0.317147 | − | 0.948376i | \(-0.397275\pi\) |
−0.999963 | + | 0.00856029i | \(0.997275\pi\) | |||||||
\(182\) | −7.39329 | − | 0.106516i | −0.548027 | − | 0.00789548i | ||||
\(183\) | −2.10868 | − | 6.48985i | −0.155878 | − | 0.479743i | ||||
\(184\) | −4.82958 | − | 1.56922i | −0.356041 | − | 0.115685i | ||||
\(185\) | −9.46889 | − | 2.01878i | −0.696167 | − | 0.148424i | ||||
\(186\) | − | 3.48868i | − | 0.255802i | ||||||
\(187\) | −7.52944 | − | 7.49498i | −0.550607 | − | 0.548087i | ||||
\(188\) | −7.54865 | −0.550542 | ||||||||
\(189\) | 11.4600 | − | 3.54191i | 0.833596 | − | 0.257636i | ||||
\(190\) | 5.14803 | − | 0.537868i | 0.373478 | − | 0.0390210i | ||||
\(191\) | 2.08165 | + | 6.40667i | 0.150623 | + | 0.463571i | 0.997691 | − | 0.0679140i | \(-0.0216343\pi\) |
−0.847068 | + | 0.531485i | \(0.821634\pi\) | |||||||
\(192\) | 0.697835 | − | 0.507006i | 0.0503619 | − | 0.0365900i | ||||
\(193\) | 6.75164 | − | 4.90535i | 0.485994 | − | 0.353095i | −0.317648 | − | 0.948209i | \(-0.602893\pi\) |
0.803642 | + | 0.595114i | \(0.202893\pi\) | |||||||
\(194\) | 0.785413 | + | 2.41725i | 0.0563894 | + | 0.173549i | ||||
\(195\) | −0.560132 | − | 5.36113i | −0.0401119 | − | 0.383918i | ||||
\(196\) | −2.35401 | + | 6.59232i | −0.168144 | + | 0.470880i | ||||
\(197\) | 3.95782 | 0.281983 | 0.140991 | − | 0.990011i | \(-0.454971\pi\) | ||||
0.140991 | + | 0.990011i | \(0.454971\pi\) | |||||||
\(198\) | 3.41213 | + | 6.65889i | 0.242490 | + | 0.473227i | ||||
\(199\) | 2.77356i | 0.196612i | 0.995156 | + | 0.0983062i | \(0.0313425\pi\) | ||||
−0.995156 | + | 0.0983062i | \(0.968658\pi\) | |||||||
\(200\) | 4.89202 | − | 1.03352i | 0.345918 | − | 0.0730809i | ||||
\(201\) | −6.25673 | − | 2.03293i | −0.441316 | − | 0.143392i | ||||
\(202\) | 5.57470 | + | 17.1571i | 0.392234 | + | 1.20717i | ||||
\(203\) | 13.7592 | + | 0.198230i | 0.965705 | + | 0.0139130i | ||||
\(204\) | −1.62406 | − | 2.23532i | −0.113707 | − | 0.156504i | ||||
\(205\) | −2.91362 | + | 2.62018i | −0.203496 | + | 0.183001i | ||||
\(206\) | 4.61982 | − | 14.2183i | 0.321878 | − | 0.990639i | ||||
\(207\) | 6.73372 | − | 9.26817i | 0.468026 | − | 0.644182i | ||||
\(208\) | − | 2.79469i | − | 0.193777i | ||||||
\(209\) | 1.18360 | − | 7.58554i | 0.0818716 | − | 0.524703i | ||||
\(210\) | −4.97502 | − | 1.13585i | −0.343309 | − | 0.0783810i | ||||
\(211\) | 13.8526 | − | 19.0665i | 0.953653 | − | 1.31259i | 0.00376806 | − | 0.999993i | \(-0.498801\pi\) |
0.949885 | − | 0.312598i | \(-0.101199\pi\) | |||||||
\(212\) | −1.74308 | − | 0.566362i | −0.119715 | − | 0.0388979i | ||||
\(213\) | −2.07976 | − | 6.40083i | −0.142503 | − | 0.438578i | ||||
\(214\) | 9.72759 | − | 7.06751i | 0.664964 | − | 0.483125i | ||||
\(215\) | −18.1589 | − | 10.4990i | −1.23842 | − | 0.716024i | ||||
\(216\) | 1.40097 | + | 4.31176i | 0.0953242 | + | 0.293378i | ||||
\(217\) | −8.74681 | + | 6.16439i | −0.593772 | + | 0.418466i | ||||
\(218\) | −5.49346 | + | 7.56110i | −0.372064 | + | 0.512102i | ||||
\(219\) | 5.01614i | 0.338959i | ||||||||
\(220\) | 0.375718 | − | 7.40668i | 0.0253309 | − | 0.499358i | ||||
\(221\) | −8.95202 | −0.602178 | ||||||||
\(222\) | −2.19523 | + | 3.02148i | −0.147334 | + | 0.202788i | ||||
\(223\) | −3.17693 | + | 9.77759i | −0.212743 | + | 0.654756i | 0.786563 | + | 0.617510i | \(0.211858\pi\) |
−0.999306 | + | 0.0372458i | \(0.988142\pi\) | |||||||
\(224\) | −2.50422 | − | 0.853746i | −0.167320 | − | 0.0570433i | ||||
\(225\) | −1.19291 | + | 11.2166i | −0.0795276 | + | 0.747773i | ||||
\(226\) | −0.175452 | − | 0.241489i | −0.0116709 | − | 0.0160636i | ||||
\(227\) | −15.6561 | + | 5.08698i | −1.03913 | + | 0.337635i | −0.778395 | − | 0.627775i | \(-0.783966\pi\) |
−0.260738 | + | 0.965410i | \(0.583966\pi\) | |||||||
\(228\) | 0.617008 | − | 1.89896i | 0.0408624 | − | 0.125761i | ||||
\(229\) | 12.8502 | − | 17.6868i | 0.849164 | − | 1.16877i | −0.134882 | − | 0.990862i | \(-0.543066\pi\) |
0.984046 | − | 0.177912i | \(-0.0569344\pi\) | |||||||
\(230\) | −10.3762 | + | 4.61210i | −0.684184 | + | 0.304113i | ||||
\(231\) | −3.51770 | + | 6.70194i | −0.231448 | + | 0.440955i | ||||
\(232\) | 5.20102i | 0.341464i | ||||||||
\(233\) | 13.0617 | + | 9.48989i | 0.855701 | + | 0.621703i | 0.926712 | − | 0.375772i | \(-0.122622\pi\) |
−0.0710108 | + | 0.997476i | \(0.522622\pi\) | |||||||
\(234\) | 5.99617 | + | 1.94827i | 0.391982 | + | 0.127363i | ||||
\(235\) | −12.5507 | + | 11.2867i | −0.818720 | + | 0.736264i | ||||
\(236\) | 5.68625 | + | 7.82645i | 0.370143 | + | 0.509459i | ||||
\(237\) | 6.45445 | + | 8.88378i | 0.419261 | + | 0.577064i | ||||
\(238\) | −2.73474 | + | 8.02158i | −0.177267 | + | 0.519962i | ||||
\(239\) | 19.1905 | + | 6.23538i | 1.24133 | + | 0.403333i | 0.854807 | − | 0.518946i | \(-0.173675\pi\) |
0.386525 | + | 0.922279i | \(0.373675\pi\) | |||||||
\(240\) | 0.402178 | − | 1.88637i | 0.0259605 | − | 0.121765i | ||||
\(241\) | 6.44405 | 0.415098 | 0.207549 | − | 0.978225i | \(-0.433451\pi\) | ||||
0.207549 | + | 0.978225i | \(0.433451\pi\) | |||||||
\(242\) | −10.4771 | − | 3.35116i | −0.673494 | − | 0.215421i | ||||
\(243\) | −16.0656 | −1.03061 | ||||||||
\(244\) | −6.40016 | − | 4.64999i | −0.409728 | − | 0.297685i | ||||
\(245\) | 5.94292 | + | 14.4804i | 0.379679 | + | 0.925118i | ||||
\(246\) | 0.467100 | + | 1.43759i | 0.0297812 | + | 0.0916572i | ||||
\(247\) | −3.80247 | − | 5.23366i | −0.241946 | − | 0.333010i | ||||
\(248\) | −2.37730 | − | 3.27208i | −0.150959 | − | 0.207777i | ||||
\(249\) | −6.98501 | + | 2.26957i | −0.442657 | + | 0.143828i | ||||
\(250\) | 6.58838 | − | 9.03290i | 0.416686 | − | 0.571291i | ||||
\(251\) | −1.93104 | + | 2.65784i | −0.121886 | + | 0.167761i | −0.865600 | − | 0.500737i | \(-0.833063\pi\) |
0.743714 | + | 0.668498i | \(0.233063\pi\) | |||||||
\(252\) | 3.57753 | − | 4.77777i | 0.225364 | − | 0.300971i | ||||
\(253\) | 2.67285 | + | 16.6288i | 0.168041 | + | 1.04544i | ||||
\(254\) | −14.1487 | −0.887766 | ||||||||
\(255\) | −6.04247 | − | 1.28827i | −0.378394 | − | 0.0806743i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −4.54048 | − | 13.9742i | −0.283228 | − | 0.871685i | −0.986924 | − | 0.161184i | \(-0.948469\pi\) |
0.703697 | − | 0.710500i | \(-0.251531\pi\) | |||||||
\(258\) | −6.54606 | + | 4.75599i | −0.407540 | + | 0.296095i | ||||
\(259\) | 11.4544 | + | 0.165024i | 0.711739 | + | 0.0102541i | ||||
\(260\) | −4.17861 | − | 4.64658i | −0.259146 | − | 0.288169i | ||||
\(261\) | −11.1591 | − | 3.62581i | −0.690730 | − | 0.224432i | ||||
\(262\) | 5.64438 | + | 4.10088i | 0.348711 | + | 0.253354i | ||||
\(263\) | 10.4825 | 0.646379 | 0.323190 | − | 0.946334i | \(-0.395245\pi\) | ||||
0.323190 | + | 0.946334i | \(0.395245\pi\) | |||||||
\(264\) | −2.55199 | − | 1.29294i | −0.157064 | − | 0.0795748i | ||||
\(265\) | −3.74495 | + | 1.66459i | −0.230050 | + | 0.102255i | ||||
\(266\) | −5.85130 | + | 1.80844i | −0.358766 | + | 0.110882i | ||||
\(267\) | −8.28435 | − | 2.69175i | −0.506994 | − | 0.164732i | ||||
\(268\) | −7.25358 | + | 2.35683i | −0.443083 | + | 0.143966i | ||||
\(269\) | 15.9580 | + | 21.9643i | 0.972977 | + | 1.33919i | 0.940529 | + | 0.339714i | \(0.110330\pi\) |
0.0324481 | + | 0.999473i | \(0.489670\pi\) | |||||||
\(270\) | 8.77624 | + | 5.07419i | 0.534105 | + | 0.308805i | ||||
\(271\) | 6.92573 | + | 21.3152i | 0.420708 | + | 1.29481i | 0.907045 | + | 0.421034i | \(0.138333\pi\) |
−0.486337 | + | 0.873771i | \(0.661667\pi\) | |||||||
\(272\) | −3.04645 | − | 0.989851i | −0.184718 | − | 0.0600185i | ||||
\(273\) | 1.88329 | + | 6.09350i | 0.113982 | + | 0.368796i | ||||
\(274\) | − | 0.627081i | − | 0.0378834i | ||||||
\(275\) | −10.4497 | − | 12.8764i | −0.630143 | − | 0.776479i | ||||
\(276\) | 4.38024i | 0.263659i | ||||||||
\(277\) | −9.21133 | − | 6.69242i | −0.553455 | − | 0.402109i | 0.275603 | − | 0.961272i | \(-0.411123\pi\) |
−0.829058 | + | 0.559163i | \(0.811123\pi\) | |||||||
\(278\) | −1.58606 | + | 4.88139i | −0.0951256 | + | 0.292766i | ||||
\(279\) | 8.67772 | − | 2.81956i | 0.519522 | − | 0.168803i | ||||
\(280\) | −5.44015 | + | 2.32482i | −0.325111 | + | 0.138935i | ||||
\(281\) | 1.42917 | + | 1.96708i | 0.0852569 | + | 0.117346i | 0.849515 | − | 0.527564i | \(-0.176895\pi\) |
−0.764258 | + | 0.644910i | \(0.776895\pi\) | |||||||
\(282\) | 2.01209 | + | 6.19257i | 0.119818 | + | 0.368762i | ||||
\(283\) | 18.0132 | + | 5.85283i | 1.07077 | + | 0.347915i | 0.790788 | − | 0.612090i | \(-0.209671\pi\) |
0.279983 | + | 0.960005i | \(0.409671\pi\) | |||||||
\(284\) | −6.31238 | − | 4.58621i | −0.374571 | − | 0.272142i | ||||
\(285\) | −1.81345 | − | 4.07984i | −0.107419 | − | 0.241669i | ||||
\(286\) | −8.24901 | + | 4.22694i | −0.487774 | + | 0.249944i | ||||
\(287\) | 2.77897 | − | 3.71129i | 0.164037 | − | 0.219070i | ||||
\(288\) | 1.82512 | + | 1.32603i | 0.107546 | + | 0.0781369i | ||||
\(289\) | 2.08258 | − | 6.40951i | 0.122504 | − | 0.377030i | ||||
\(290\) | 7.77654 | + | 8.64745i | 0.456654 | + | 0.507796i | ||||
\(291\) | 1.77365 | − | 1.28863i | 0.103973 | − | 0.0755410i | ||||
\(292\) | 3.41817 | + | 4.70470i | 0.200033 | + | 0.275322i | ||||
\(293\) | −3.98532 | + | 1.29491i | −0.232825 | + | 0.0756494i | −0.423106 | − | 0.906080i | \(-0.639060\pi\) |
0.190281 | + | 0.981730i | \(0.439060\pi\) | |||||||
\(294\) | 6.03549 | + | 0.173944i | 0.351997 | + | 0.0101446i | ||||
\(295\) | 21.1563 | + | 4.51056i | 1.23177 | + | 0.262615i | ||||
\(296\) | 4.32979i | 0.251664i | ||||||||
\(297\) | 10.6079 | − | 10.6567i | 0.615535 | − | 0.618365i | ||||
\(298\) | 0.812848i | 0.0470870i | ||||||||
\(299\) | 11.4814 | + | 8.34171i | 0.663985 | + | 0.482413i | ||||
\(300\) | −2.15182 | − | 3.73770i | −0.124235 | − | 0.215796i | ||||
\(301\) | 23.4909 | + | 8.00859i | 1.35399 | + | 0.461608i | ||||
\(302\) | −13.8854 | − | 19.1117i | −0.799017 | − | 1.09975i | ||||
\(303\) | 12.5890 | − | 9.14644i | 0.723219 | − | 0.525450i | ||||
\(304\) | −0.715313 | − | 2.20151i | −0.0410260 | − | 0.126265i | ||||
\(305\) | −17.5938 | + | 1.83821i | −1.00742 | + | 0.105256i | ||||
\(306\) | 4.24756 | − | 5.84627i | 0.242817 | − | 0.334209i | ||||
\(307\) | 19.9426i | 1.13819i | 0.822273 | + | 0.569093i | \(0.192706\pi\) | ||||
−0.822273 | + | 0.569093i | \(0.807294\pi\) | |||||||
\(308\) | 1.26763 | + | 8.68292i | 0.0722300 | + | 0.494755i | ||||
\(309\) | −12.8955 | −0.733598 | ||||||||
\(310\) | −8.84501 | − | 1.88577i | −0.502363 | − | 0.107105i | ||||
\(311\) | −7.97133 | − | 2.59004i | −0.452012 | − | 0.146868i | 0.0741587 | − | 0.997246i | \(-0.476373\pi\) |
−0.526171 | + | 0.850379i | \(0.676373\pi\) | |||||||
\(312\) | −2.29263 | + | 0.744922i | −0.129795 | + | 0.0421729i | ||||
\(313\) | 19.8340 | − | 14.4103i | 1.12108 | − | 0.814516i | 0.136712 | − | 0.990611i | \(-0.456347\pi\) |
0.984373 | + | 0.176095i | \(0.0563466\pi\) | |||||||
\(314\) | −16.5701 | + | 12.0389i | −0.935107 | + | 0.679395i | ||||
\(315\) | −1.19553 | − | 13.2929i | −0.0673604 | − | 0.748967i | ||||
\(316\) | 12.1074 | + | 3.93394i | 0.681096 | + | 0.221302i | ||||
\(317\) | 8.43542 | − | 11.6104i | 0.473780 | − | 0.652103i | −0.503515 | − | 0.863987i | \(-0.667960\pi\) |
0.977295 | + | 0.211884i | \(0.0679600\pi\) | |||||||
\(318\) | 1.58091i | 0.0886529i | ||||||||
\(319\) | 15.3517 | − | 7.86649i | 0.859531 | − | 0.440439i | ||||
\(320\) | −0.908230 | − | 2.04331i | −0.0507716 | − | 0.114225i | ||||
\(321\) | −8.39074 | − | 6.09623i | −0.468325 | − | 0.340258i | ||||
\(322\) | 10.9821 | − | 7.73975i | 0.612010 | − | 0.431319i | ||||
\(323\) | −7.05192 | + | 2.29131i | −0.392379 | + | 0.127492i | ||||
\(324\) | −2.31162 | + | 1.67949i | −0.128423 | + | 0.0933050i | ||||
\(325\) | −13.8951 | − | 1.47778i | −0.770761 | − | 0.0819723i | ||||
\(326\) | −16.8752 | + | 5.48308i | −0.934631 | + | 0.303680i | ||||
\(327\) | 7.66705 | + | 2.49118i | 0.423989 | + | 0.137762i | ||||
\(328\) | 1.41772 | + | 1.03003i | 0.0782805 | + | 0.0568741i | ||||
\(329\) | 11.9707 | − | 15.9868i | 0.659966 | − | 0.881380i | ||||
\(330\) | −6.17624 | + | 1.66602i | −0.339991 | + | 0.0917114i | ||||
\(331\) | −25.2062 | −1.38546 | −0.692728 | − | 0.721199i | \(-0.743591\pi\) | ||||
−0.692728 | + | 0.721199i | \(0.743591\pi\) | |||||||
\(332\) | −5.00477 | + | 6.88848i | −0.274673 | + | 0.378054i | ||||
\(333\) | −9.28981 | − | 3.01844i | −0.509078 | − | 0.165410i | ||||
\(334\) | 14.2600 | − | 4.63337i | 0.780275 | − | 0.253527i | ||||
\(335\) | −8.53621 | + | 14.7641i | −0.466383 | + | 0.806649i | ||||
\(336\) | −0.0328757 | + | 2.28191i | −0.00179352 | + | 0.124488i | ||||
\(337\) | 2.77031 | + | 8.52613i | 0.150908 | + | 0.464448i | 0.997723 | − | 0.0674396i | \(-0.0214830\pi\) |
−0.846815 | + | 0.531887i | \(0.821483\pi\) | |||||||
\(338\) | 1.60371 | − | 4.93570i | 0.0872302 | − | 0.268467i | ||||
\(339\) | −0.151340 | + | 0.208301i | −0.00821964 | + | 0.0113134i | ||||
\(340\) | −6.54518 | + | 2.90926i | −0.354962 | + | 0.157777i | ||||
\(341\) | −6.06245 | + | 11.9660i | −0.328300 | + | 0.647996i | ||||
\(342\) | 5.22213 | 0.282380 | ||||||||
\(343\) | −10.2284 | − | 15.4395i | −0.552283 | − | 0.833657i | ||||
\(344\) | −2.89875 | + | 8.92142i | −0.156290 | + | 0.481011i | ||||
\(345\) | 6.54931 | + | 7.28278i | 0.352603 | + | 0.392092i | ||||
\(346\) | −6.12030 | − | 8.42387i | −0.329029 | − | 0.452870i | ||||
\(347\) | 3.50626 | − | 2.54745i | 0.188226 | − | 0.136754i | −0.489681 | − | 0.871901i | \(-0.662887\pi\) |
0.677908 | + | 0.735147i | \(0.262887\pi\) | |||||||
\(348\) | 4.26668 | − | 1.38633i | 0.228718 | − | 0.0743149i | ||||
\(349\) | 5.73576 | − | 17.6529i | 0.307028 | − | 0.944935i | −0.671884 | − | 0.740656i | \(-0.734515\pi\) |
0.978913 | − | 0.204279i | \(-0.0654851\pi\) | |||||||
\(350\) | −5.56897 | + | 11.9994i | −0.297674 | + | 0.641397i | ||||
\(351\) | − | 12.6701i | − | 0.676282i | ||||||
\(352\) | −3.27459 | + | 0.526346i | −0.174536 | + | 0.0280544i | ||||
\(353\) | 10.9295 | 0.581719 | 0.290860 | − | 0.956766i | \(-0.406059\pi\) | ||||
0.290860 | + | 0.956766i | \(0.406059\pi\) | |||||||
\(354\) | 4.90479 | − | 6.75087i | 0.260687 | − | 0.358805i | ||||
\(355\) | −17.3525 | + | 1.81300i | −0.920977 | + | 0.0962238i | ||||
\(356\) | −9.60425 | + | 3.12061i | −0.509024 | + | 0.165392i | ||||
\(357\) | 7.30947 | + | 0.105308i | 0.386858 | + | 0.00557351i | ||||
\(358\) | −16.7030 | + | 12.1355i | −0.882783 | + | 0.641380i | ||||
\(359\) | −20.7589 | + | 6.74498i | −1.09561 | + | 0.355986i | −0.800413 | − | 0.599449i | \(-0.795386\pi\) |
−0.295200 | + | 0.955435i | \(0.595386\pi\) | |||||||
\(360\) | 5.01720 | − | 0.524198i | 0.264429 | − | 0.0276276i | ||||
\(361\) | 11.0364 | + | 8.01839i | 0.580861 | + | 0.422020i | ||||
\(362\) | 15.6288i | 0.821429i | ||||||||
\(363\) | 0.0435247 | + | 9.48818i | 0.00228445 | + | 0.498000i | ||||
\(364\) | 5.91869 | + | 4.43184i | 0.310224 | + | 0.232291i | ||||
\(365\) | 12.7176 | + | 2.71142i | 0.665672 | + | 0.141922i | ||||
\(366\) | −2.10868 | + | 6.48985i | −0.110222 | + | 0.339230i | ||||
\(367\) | −5.68237 | − | 17.4885i | −0.296617 | − | 0.912894i | −0.982673 | − | 0.185345i | \(-0.940660\pi\) |
0.686056 | − | 0.727548i | \(-0.259340\pi\) | |||||||
\(368\) | 2.98484 | + | 4.10828i | 0.155596 | + | 0.214159i | ||||
\(369\) | −3.19834 | + | 2.32373i | −0.166499 | + | 0.120968i | ||||
\(370\) | 6.47388 | + | 7.19891i | 0.336561 | + | 0.374253i | ||||
\(371\) | 3.96365 | − | 2.79342i | 0.205782 | − | 0.145027i | ||||
\(372\) | −2.05059 | + | 2.82240i | −0.106318 | + | 0.146335i | ||||
\(373\) | 33.4440 | 1.73167 | 0.865833 | − | 0.500334i | \(-0.166789\pi\) | ||||
0.865833 | + | 0.500334i | \(0.166789\pi\) | |||||||
\(374\) | 1.68601 | + | 10.4893i | 0.0871813 | + | 0.542386i | ||||
\(375\) | −9.16630 | − | 2.99709i | −0.473346 | − | 0.154769i | ||||
\(376\) | 6.10699 | + | 4.43699i | 0.314944 | + | 0.228820i | ||||
\(377\) | 4.49164 | − | 13.8238i | 0.231331 | − | 0.711964i | ||||
\(378\) | −11.3533 | − | 3.87058i | −0.583948 | − | 0.199081i | ||||
\(379\) | −24.7305 | + | 17.9678i | −1.27032 | + | 0.922942i | −0.999215 | − | 0.0396078i | \(-0.987389\pi\) |
−0.271105 | + | 0.962550i | \(0.587389\pi\) | |||||||
\(380\) | −4.48100 | − | 2.59079i | −0.229870 | − | 0.132905i | ||||
\(381\) | 3.77131 | + | 11.6069i | 0.193210 | + | 0.594640i | ||||
\(382\) | 2.08165 | − | 6.40667i | 0.106507 | − | 0.327794i | ||||
\(383\) | −11.4421 | − | 8.31318i | −0.584664 | − | 0.424783i | 0.255738 | − | 0.966746i | \(-0.417681\pi\) |
−0.840403 | + | 0.541963i | \(0.817681\pi\) | |||||||
\(384\) | −0.862571 | −0.0440179 | ||||||||
\(385\) | 15.0903 | + | 12.5413i | 0.769072 | + | 0.639162i | ||||
\(386\) | −8.34549 | −0.424774 | ||||||||
\(387\) | −17.1206 | − | 12.4388i | −0.870289 | − | 0.632302i | ||||
\(388\) | 0.785413 | − | 2.41725i | 0.0398733 | − | 0.122717i | ||||
\(389\) | 9.55492 | + | 29.4070i | 0.484453 | + | 1.49099i | 0.832771 | + | 0.553618i | \(0.186753\pi\) |
−0.348317 | + | 0.937377i | \(0.613247\pi\) | |||||||
\(390\) | −2.69803 | + | 4.66648i | −0.136620 | + | 0.236296i | ||||
\(391\) | 13.1597 | − | 9.56112i | 0.665517 | − | 0.483527i | ||||
\(392\) | 5.77930 | − | 3.94964i | 0.291899 | − | 0.199487i | ||||
\(393\) | 1.85967 | − | 5.72348i | 0.0938080 | − | 0.288711i | ||||
\(394\) | −3.20194 | − | 2.32635i | −0.161312 | − | 0.117200i | ||||
\(395\) | 26.0124 | − | 11.5622i | 1.30882 | − | 0.581758i | ||||
\(396\) | 1.15352 | − | 7.39276i | 0.0579667 | − | 0.371500i | ||||
\(397\) | −2.38129 | −0.119513 | −0.0597566 | − | 0.998213i | \(-0.519032\pi\) | ||||
−0.0597566 | + | 0.998213i | \(0.519032\pi\) | |||||||
\(398\) | 1.63026 | − | 2.24386i | 0.0817174 | − | 0.112474i | ||||
\(399\) | 3.04322 | + | 4.31810i | 0.152351 | + | 0.216175i | ||||
\(400\) | −4.56521 | − | 2.03932i | −0.228261 | − | 0.101966i | ||||
\(401\) | −13.3127 | + | 9.67226i | −0.664806 | + | 0.483010i | −0.868282 | − | 0.496070i | \(-0.834776\pi\) |
0.203477 | + | 0.979080i | \(0.434776\pi\) | |||||||
\(402\) | 3.86687 | + | 5.32229i | 0.192862 | + | 0.265452i | ||||
\(403\) | 3.49287 | + | 10.7499i | 0.173992 | + | 0.535492i | ||||
\(404\) | 5.57470 | − | 17.1571i | 0.277351 | − | 0.853600i | ||||
\(405\) | −1.33224 | + | 6.24872i | −0.0661995 | + | 0.310502i | ||||
\(406\) | −11.0149 | − | 8.24781i | −0.546660 | − | 0.409332i | ||||
\(407\) | 12.7801 | − | 6.54876i | 0.633487 | − | 0.324610i | ||||
\(408\) | 2.76301i | 0.136789i | ||||||||
\(409\) | 12.2745 | + | 8.91795i | 0.606935 | + | 0.440964i | 0.848334 | − | 0.529462i | \(-0.177606\pi\) |
−0.241399 | + | 0.970426i | \(0.577606\pi\) | |||||||
\(410\) | 3.89727 | − | 0.407187i | 0.192472 | − | 0.0201096i | ||||
\(411\) | −0.514429 | + | 0.167148i | −0.0253749 | + | 0.00824480i | ||||
\(412\) | −12.0948 | + | 8.78742i | −0.595870 | + | 0.432925i | ||||
\(413\) | −25.5924 | − | 0.368713i | −1.25932 | − | 0.0181432i | ||||
\(414\) | −10.8954 | + | 3.54012i | −0.535479 | + | 0.173988i | ||||
\(415\) | 1.97846 | + | 18.9362i | 0.0971187 | + | 0.929542i | ||||
\(416\) | −1.64268 | + | 2.26095i | −0.0805389 | + | 0.110852i | ||||
\(417\) | 4.42723 | 0.216802 | ||||||||
\(418\) | −5.41623 | + | 5.44113i | −0.264916 | + | 0.266134i | ||||
\(419\) | 34.7341i | 1.69687i | 0.529297 | + | 0.848437i | \(0.322456\pi\) | ||||
−0.529297 | + | 0.848437i | \(0.677544\pi\) | |||||||
\(420\) | 3.35724 | + | 3.84317i | 0.163817 | + | 0.187527i | ||||
\(421\) | −7.57844 | + | 23.3241i | −0.369351 | + | 1.13674i | 0.577861 | + | 0.816135i | \(0.303888\pi\) |
−0.947212 | + | 0.320609i | \(0.896112\pi\) | |||||||
\(422\) | −22.4140 | + | 7.28275i | −1.09110 | + | 0.354519i | ||||
\(423\) | −13.7772 | + | 10.0097i | −0.669870 | + | 0.486689i | ||||
\(424\) | 1.07728 | + | 1.48275i | 0.0523175 | + | 0.0720089i | ||||
\(425\) | −6.53240 | + | 14.6234i | −0.316868 | + | 0.709339i | ||||
\(426\) | −2.07976 | + | 6.40083i | −0.100765 | + | 0.310121i | ||||
\(427\) | 19.9973 | − | 6.18049i | 0.967738 | − | 0.299095i | ||||
\(428\) | −12.0240 | −0.581200 | ||||||||
\(429\) | 5.66635 | + | 5.64042i | 0.273574 | + | 0.272322i | ||||
\(430\) | 8.51968 | + | 19.1674i | 0.410856 | + | 0.924332i | ||||
\(431\) | −16.5319 | + | 22.7542i | −0.796315 | + | 1.09603i | 0.196978 | + | 0.980408i | \(0.436887\pi\) |
−0.993293 | + | 0.115625i | \(0.963113\pi\) | |||||||
\(432\) | 1.40097 | − | 4.31176i | 0.0674044 | − | 0.207449i | ||||
\(433\) | 8.77864 | + | 27.0179i | 0.421874 | + | 1.29840i | 0.905956 | + | 0.423373i | \(0.139154\pi\) |
−0.484081 | + | 0.875023i | \(0.660846\pi\) | |||||||
\(434\) | 10.6997 | + | 0.154151i | 0.513600 | + | 0.00739949i | ||||
\(435\) | 5.02114 | − | 8.68449i | 0.240745 | − | 0.416389i | ||||
\(436\) | 8.88861 | − | 2.88808i | 0.425687 | − | 0.138314i | ||||
\(437\) | 11.1795 | + | 3.63244i | 0.534789 | + | 0.173763i | ||||
\(438\) | 2.94841 | − | 4.05814i | 0.140881 | − | 0.193905i | ||||
\(439\) | −33.4903 | −1.59841 | −0.799204 | − | 0.601060i | \(-0.794745\pi\) | ||||
−0.799204 | + | 0.601060i | \(0.794745\pi\) | |||||||
\(440\) | −4.65750 | + | 5.77128i | −0.222037 | + | 0.275135i | ||||
\(441\) | 4.44524 | + | 15.1532i | 0.211678 | + | 0.721583i | ||||
\(442\) | 7.24234 | + | 5.26187i | 0.344483 | + | 0.250281i | ||||
\(443\) | −10.4747 | − | 3.40344i | −0.497668 | − | 0.161702i | 0.0494185 | − | 0.998778i | \(-0.484263\pi\) |
−0.547087 | + | 0.837076i | \(0.684263\pi\) | |||||||
\(444\) | 3.55196 | − | 1.15410i | 0.168569 | − | 0.0547712i | ||||
\(445\) | −11.3025 | + | 19.5487i | −0.535792 | + | 0.926698i | ||||
\(446\) | 8.31731 | − | 6.04288i | 0.393836 | − | 0.286139i | ||||
\(447\) | 0.666823 | − | 0.216664i | 0.0315397 | − | 0.0102479i | ||||
\(448\) | 1.52414 | + | 2.16264i | 0.0720087 | + | 0.102175i | ||||
\(449\) | −9.61952 | − | 6.98899i | −0.453973 | − | 0.329831i | 0.337189 | − | 0.941437i | \(-0.390524\pi\) |
−0.791162 | + | 0.611606i | \(0.790524\pi\) | |||||||
\(450\) | 7.55804 | − | 8.37324i | 0.356289 | − | 0.394718i | ||||
\(451\) | 0.896036 | − | 5.74256i | 0.0421927 | − | 0.270407i | ||||
\(452\) | 0.298496i | 0.0140401i | ||||||||
\(453\) | −11.9772 | + | 16.4852i | −0.562737 | + | 0.774540i | ||||
\(454\) | 15.6561 | + | 5.08698i | 0.734778 | + | 0.238744i | ||||
\(455\) | 16.4671 | − | 1.48102i | 0.771992 | − | 0.0694312i | ||||
\(456\) | −1.61535 | + | 1.17362i | −0.0756456 | + | 0.0549598i | ||||
\(457\) | −21.9291 | + | 15.9324i | −1.02580 | + | 0.745286i | −0.967463 | − | 0.253011i | \(-0.918579\pi\) |
−0.0583347 | + | 0.998297i | \(0.518579\pi\) | |||||||
\(458\) | −20.7920 | + | 6.75574i | −0.971548 | + | 0.315675i | ||||
\(459\) | −13.8115 | − | 4.48763i | −0.644667 | − | 0.209465i | ||||
\(460\) | 11.1054 | + | 2.36770i | 0.517793 | + | 0.110394i | ||||
\(461\) | −8.89628 | −0.414341 | −0.207170 | − | 0.978305i | \(-0.566425\pi\) | ||||
−0.207170 | + | 0.978305i | \(0.566425\pi\) | |||||||
\(462\) | 6.78518 | − | 3.35433i | 0.315675 | − | 0.156058i | ||||
\(463\) | − | 16.3872i | − | 0.761576i | −0.924662 | − | 0.380788i | \(-0.875653\pi\) | ||
0.924662 | − | 0.380788i | \(-0.124347\pi\) | |||||||
\(464\) | 3.05708 | − | 4.20771i | 0.141922 | − | 0.195338i | ||||
\(465\) | 0.810629 | + | 7.75869i | 0.0375920 | + | 0.359800i | ||||
\(466\) | −4.98913 | − | 15.3550i | −0.231117 | − | 0.711305i | ||||
\(467\) | 1.83858 | − | 1.33581i | 0.0850792 | − | 0.0618137i | −0.544432 | − | 0.838805i | \(-0.683255\pi\) |
0.629512 | + | 0.776991i | \(0.283255\pi\) | |||||||
\(468\) | −3.70583 | − | 5.10064i | −0.171302 | − | 0.235777i | ||||
\(469\) | 6.51140 | − | 19.0994i | 0.300669 | − | 0.881926i | ||||
\(470\) | 16.7879 | − | 1.75401i | 0.774369 | − | 0.0809062i | ||||
\(471\) | 14.2929 | + | 10.3844i | 0.658583 | + | 0.478489i | ||||
\(472\) | − | 9.67403i | − | 0.445283i | ||||||
\(473\) | 30.7174 | − | 4.93741i | 1.41239 | − | 0.227022i | ||||
\(474\) | − | 10.9810i | − | 0.504372i | ||||||
\(475\) | −11.3241 | + | 2.39239i | −0.519583 | + | 0.109771i | ||||
\(476\) | 6.92742 | − | 4.88215i | 0.317518 | − | 0.223773i | ||||
\(477\) | −3.93234 | + | 1.27770i | −0.180050 | + | 0.0585017i | ||||
\(478\) | −11.8604 | − | 16.3244i | −0.542482 | − | 0.746662i | ||||
\(479\) | −18.1327 | + | 13.1742i | −0.828504 | + | 0.601943i | −0.919136 | − | 0.393941i | \(-0.871111\pi\) |
0.0906319 | + | 0.995884i | \(0.471111\pi\) | |||||||
\(480\) | −1.43415 | + | 1.28971i | −0.0654597 | + | 0.0588670i | ||||
\(481\) | 3.73924 | − | 11.5082i | 0.170494 | − | 0.524728i | ||||
\(482\) | −5.21335 | − | 3.78772i | −0.237461 | − | 0.172526i | ||||
\(483\) | −9.27661 | − | 6.94621i | −0.422100 | − | 0.316063i | ||||
\(484\) | 6.50639 | + | 8.86943i | 0.295745 | + | 0.403156i | ||||
\(485\) | −2.30840 | − | 5.19338i | −0.104819 | − | 0.235819i | ||||
\(486\) | 12.9973 | + | 9.44311i | 0.589571 | + | 0.428348i | ||||
\(487\) | −17.9940 | − | 5.84661i | −0.815387 | − | 0.264935i | −0.128509 | − | 0.991708i | \(-0.541019\pi\) |
−0.686878 | + | 0.726773i | \(0.741019\pi\) | |||||||
\(488\) | 2.44464 | + | 7.52384i | 0.110664 | + | 0.340588i | ||||
\(489\) | 8.99614 | + | 12.3821i | 0.406819 | + | 0.559939i | ||||
\(490\) | 3.70344 | − | 15.2080i | 0.167304 | − | 0.687029i | ||||
\(491\) | 7.55842 | − | 2.45588i | 0.341107 | − | 0.110832i | −0.133454 | − | 0.991055i | \(-0.542607\pi\) |
0.474561 | + | 0.880223i | \(0.342607\pi\) | |||||||
\(492\) | 0.467100 | − | 1.43759i | 0.0210585 | − | 0.0648114i | ||||
\(493\) | −13.4783 | − | 9.79252i | −0.607030 | − | 0.441033i | ||||
\(494\) | 6.46915i | 0.291061i | ||||||||
\(495\) | −9.13572 | − | 14.0163i | −0.410620 | − | 0.629985i | ||||
\(496\) | 4.04451i | 0.181604i | ||||||||
\(497\) | 19.7230 | − | 6.09572i | 0.884699 | − | 0.273430i | ||||
\(498\) | 6.98501 | + | 2.26957i | 0.313006 | + | 0.101702i | ||||
\(499\) | −0.395005 | − | 1.21570i | −0.0176828 | − | 0.0544222i | 0.941826 | − | 0.336102i | \(-0.109109\pi\) |
−0.959509 | + | 0.281679i | \(0.909109\pi\) | |||||||
\(500\) | −10.6395 | + | 3.43522i | −0.475814 | + | 0.153628i | ||||
\(501\) | −7.60200 | − | 10.4633i | −0.339633 | − | 0.467464i | ||||
\(502\) | 3.12448 | − | 1.01521i | 0.139452 | − | 0.0453108i | ||||
\(503\) | 8.05349 | + | 2.61674i | 0.359087 | + | 0.116675i | 0.483004 | − | 0.875618i | \(-0.339546\pi\) |
−0.123917 | + | 0.992293i | \(0.539546\pi\) | |||||||
\(504\) | −5.70259 | + | 1.76248i | −0.254014 | + | 0.0785069i | ||||
\(505\) | −16.3845 | − | 36.8615i | −0.729103 | − | 1.64032i | ||||
\(506\) | 7.61176 | − | 15.0240i | 0.338384 | − | 0.667899i | ||||
\(507\) | −4.47649 | −0.198808 | ||||||||
\(508\) | 11.4465 | + | 8.31638i | 0.507857 | + | 0.368980i | ||||
\(509\) | −38.8422 | − | 12.6206i | −1.72165 | − | 0.559398i | −0.729448 | − | 0.684036i | \(-0.760223\pi\) |
−0.992202 | + | 0.124638i | \(0.960223\pi\) | |||||||
\(510\) | 4.13124 | + | 4.59390i | 0.182934 | + | 0.203421i | ||||
\(511\) | −15.3843 | − | 0.221644i | −0.680562 | − | 0.00980494i | ||||
\(512\) | −0.809017 | + | 0.587785i | −0.0357538 | + | 0.0259767i | ||||
\(513\) | −3.24298 | − | 9.98086i | −0.143181 | − | 0.440666i | ||||
\(514\) | −4.54048 | + | 13.9742i | −0.200272 | + | 0.616374i | ||||
\(515\) | −6.97053 | + | 32.6945i | −0.307158 | + | 1.44069i | ||||
\(516\) | 8.09138 | 0.356203 | ||||||||
\(517\) | 3.85977 | − | 24.7367i | 0.169753 | − | 1.08792i | ||||
\(518\) | −9.16977 | − | 6.86621i | −0.402897 | − | 0.301684i | ||||
\(519\) | −5.27919 | + | 7.26618i | −0.231731 | + | 0.318950i | ||||
\(520\) | 0.649374 | + | 6.21529i | 0.0284770 | + | 0.272558i | ||||
\(521\) | 30.9309 | − | 10.0501i | 1.35511 | − | 0.440302i | 0.460702 | − | 0.887555i | \(-0.347598\pi\) |
0.894407 | + | 0.447253i | \(0.147598\pi\) | |||||||
\(522\) | 6.89669 | + | 9.49248i | 0.301860 | + | 0.415475i | ||||
\(523\) | −2.72093 | − | 3.74504i | −0.118978 | − | 0.163759i | 0.745374 | − | 0.666647i | \(-0.232271\pi\) |
−0.864352 | + | 0.502887i | \(0.832271\pi\) | |||||||
\(524\) | −2.15596 | − | 6.63537i | −0.0941837 | − | 0.289868i | ||||
\(525\) | 11.3282 | + | 1.37009i | 0.494403 | + | 0.0597955i | ||||
\(526\) | −8.48053 | − | 6.16146i | −0.369769 | − | 0.268653i | ||||
\(527\) | 12.9555 | 0.564349 | ||||||||
\(528\) | 1.30463 | + | 2.54603i | 0.0567767 | + | 0.110802i | ||||
\(529\) | −2.78727 | −0.121185 | ||||||||
\(530\) | 4.00815 | + | 0.854544i | 0.174103 | + | 0.0371190i | ||||
\(531\) | 20.7562 | + | 6.74409i | 0.900741 | + | 0.292668i | ||||
\(532\) | 5.79677 | + | 1.97625i | 0.251322 | + | 0.0856814i | ||||
\(533\) | −2.87863 | − | 3.96209i | −0.124687 | − | 0.171617i | ||||
\(534\) | 5.12001 | + | 7.04709i | 0.221565 | + | 0.304957i | ||||
\(535\) | −19.9916 | + | 17.9782i | −0.864312 | + | 0.777264i | ||||
\(536\) | 7.25358 | + | 2.35683i | 0.313307 | + | 0.101800i | ||||
\(537\) | 14.4076 | + | 10.4677i | 0.621732 | + | 0.451715i | ||||
\(538\) | − | 27.1494i | − | 1.17049i | ||||||
\(539\) | −20.3992 | − | 11.0848i | −0.878655 | − | 0.477456i | ||||
\(540\) | −4.11759 | − | 9.26365i | −0.177193 | − | 0.398644i | ||||
\(541\) | 11.5465 | − | 15.8925i | 0.496425 | − | 0.683270i | −0.485132 | − | 0.874441i | \(-0.661228\pi\) |
0.981557 | + | 0.191171i | \(0.0612285\pi\) | |||||||
\(542\) | 6.92573 | − | 21.3152i | 0.297485 | − | 0.915566i | ||||
\(543\) | 12.8211 | − | 4.16583i | 0.550207 | − | 0.178773i | ||||
\(544\) | 1.88281 | + | 2.59146i | 0.0807247 | + | 0.111108i | ||||
\(545\) | 10.4604 | − | 18.0921i | 0.448072 | − | 0.774979i | ||||
\(546\) | 2.05805 | − | 6.03672i | 0.0880766 | − | 0.258348i | ||||
\(547\) | −6.81461 | + | 20.9732i | −0.291372 | + | 0.896750i | 0.693044 | + | 0.720895i | \(0.256269\pi\) |
−0.984416 | + | 0.175855i | \(0.943731\pi\) | |||||||
\(548\) | −0.368589 | + | 0.507319i | −0.0157453 | + | 0.0216716i | ||||
\(549\) | −17.8471 | −0.761694 | ||||||||
\(550\) | 0.885433 | + | 16.5595i | 0.0377550 | + | 0.706098i | ||||
\(551\) | − | 12.0393i | − | 0.512893i | ||||||
\(552\) | 2.57464 | − | 3.54369i | 0.109584 | − | 0.150829i | ||||
\(553\) | −27.5315 | + | 19.4030i | −1.17076 | + | 0.825101i | ||||
\(554\) | 3.51842 | + | 10.8286i | 0.149483 | + | 0.460062i | ||||
\(555\) | 4.18004 | − | 7.22974i | 0.177433 | − | 0.306885i | ||||
\(556\) | 4.15236 | − | 3.01687i | 0.176099 | − | 0.127944i | ||||
\(557\) | −9.82568 | − | 30.2403i | −0.416328 | − | 1.28132i | −0.911058 | − | 0.412278i | \(-0.864733\pi\) |
0.494730 | − | 0.869046i | \(-0.335267\pi\) | |||||||
\(558\) | −8.67772 | − | 2.81956i | −0.367357 | − | 0.119362i | ||||
\(559\) | 15.4092 | − | 21.2089i | 0.651740 | − | 0.897043i | ||||
\(560\) | 5.76767 | + | 1.31682i | 0.243728 | + | 0.0556457i | ||||
\(561\) | 8.15550 | − | 4.17902i | 0.344325 | − | 0.176438i | ||||
\(562\) | − | 2.43144i | − | 0.102564i | ||||||
\(563\) | 4.85082 | − | 6.67658i | 0.204438 | − | 0.281384i | −0.694471 | − | 0.719521i | \(-0.744361\pi\) |
0.898908 | + | 0.438137i | \(0.144361\pi\) | |||||||
\(564\) | 2.01209 | − | 6.19257i | 0.0847241 | − | 0.260754i | ||||
\(565\) | 0.446311 | + | 0.496294i | 0.0187764 | + | 0.0208792i | ||||
\(566\) | −11.1327 | − | 15.3229i | −0.467944 | − | 0.644070i | ||||
\(567\) | 0.108903 | − | 7.55898i | 0.00457350 | − | 0.317447i | ||||
\(568\) | 2.41111 | + | 7.42065i | 0.101168 | + | 0.311363i | ||||
\(569\) | 24.8820 | + | 8.08464i | 1.04311 | + | 0.338926i | 0.779959 | − | 0.625830i | \(-0.215240\pi\) |
0.263147 | + | 0.964756i | \(0.415240\pi\) | |||||||
\(570\) | −0.930962 | + | 4.36658i | −0.0389937 | + | 0.182896i | ||||
\(571\) | 4.20124i | 0.175816i | 0.996129 | + | 0.0879082i | \(0.0280182\pi\) | ||||
−0.996129 | + | 0.0879082i | \(0.971982\pi\) | |||||||
\(572\) | 9.15812 | + | 1.42898i | 0.382920 | + | 0.0597487i | ||||
\(573\) | −5.81060 | −0.242741 | ||||||||
\(574\) | −4.42967 | + | 1.36906i | −0.184891 | + | 0.0571434i | ||||
\(575\) | 22.0045 | − | 12.6681i | 0.917653 | − | 0.528298i | ||||
\(576\) | −0.697133 | − | 2.14556i | −0.0290472 | − | 0.0893982i | ||||
\(577\) | −9.87724 | + | 7.17623i | −0.411195 | + | 0.298750i | −0.774085 | − | 0.633081i | \(-0.781790\pi\) |
0.362891 | + | 0.931832i | \(0.381790\pi\) | |||||||
\(578\) | −5.45225 | + | 3.96129i | −0.226784 | + | 0.164768i | ||||
\(579\) | 2.22448 | + | 6.84625i | 0.0924463 | + | 0.284520i | ||||
\(580\) | −1.20851 | − | 11.5669i | −0.0501806 | − | 0.480288i | ||||
\(581\) | −6.65204 | − | 21.5231i | −0.275973 | − | 0.892927i | ||||
\(582\) | −2.19235 | −0.0908760 | ||||||||
\(583\) | 2.74722 | − | 5.42244i | 0.113778 | − | 0.224575i | ||||
\(584\) | − | 5.81533i | − | 0.240640i | ||||||
\(585\) | −13.7879 | − | 2.93961i | −0.570061 | − | 0.121538i | ||||
\(586\) | 3.98532 | + | 1.29491i | 0.164632 | + | 0.0534922i | ||||
\(587\) | −3.64820 | − | 11.2280i | −0.150577 | − | 0.463430i | 0.847109 | − | 0.531420i | \(-0.178341\pi\) |
−0.997686 | + | 0.0679902i | \(0.978341\pi\) | |||||||
\(588\) | −4.78057 | − | 3.68830i | −0.197148 | − | 0.152103i | ||||
\(589\) | 5.50299 | + | 7.57421i | 0.226747 | + | 0.312090i | ||||
\(590\) | −14.4646 | − | 16.0845i | −0.595497 | − | 0.662187i | ||||
\(591\) | −1.05495 | + | 3.24681i | −0.0433950 | + | 0.133556i | ||||
\(592\) | 2.54499 | − | 3.50287i | 0.104598 | − | 0.143967i | ||||
\(593\) | 13.8550i | 0.568958i | 0.958682 | + | 0.284479i | \(0.0918206\pi\) | ||||
−0.958682 | + | 0.284479i | \(0.908179\pi\) | |||||||
\(594\) | −14.8459 | + | 2.38627i | −0.609133 | + | 0.0979098i | ||||
\(595\) | 4.21806 | − | 18.4751i | 0.172924 | − | 0.757407i | ||||
\(596\) | 0.477780 | − | 0.657608i | 0.0195706 | − | 0.0269367i | ||||
\(597\) | −2.27530 | − | 0.739290i | −0.0931219 | − | 0.0302571i | ||||
\(598\) | −4.38550 | − | 13.4972i | −0.179336 | − | 0.551940i | ||||
\(599\) | 7.50680 | − | 5.45401i | 0.306720 | − | 0.222845i | −0.423768 | − | 0.905771i | \(-0.639293\pi\) |
0.730488 | + | 0.682926i | \(0.239293\pi\) | |||||||
\(600\) | −0.456111 | + | 4.28867i | −0.0186206 | + | 0.175084i | ||||
\(601\) | −1.98279 | − | 6.10239i | −0.0808795 | − | 0.248922i | 0.902438 | − | 0.430820i | \(-0.141776\pi\) |
−0.983317 | + | 0.181899i | \(0.941776\pi\) | |||||||
\(602\) | −14.2972 | − | 20.2867i | −0.582712 | − | 0.826825i | ||||
\(603\) | −10.1134 | + | 13.9199i | −0.411851 | + | 0.566864i | ||||
\(604\) | 23.6233i | 0.961219i | ||||||||
\(605\) | 24.0794 | + | 5.01840i | 0.978965 | + | 0.204027i | ||||
\(606\) | −15.5609 | −0.632117 | ||||||||
\(607\) | 10.4609 | − | 14.3982i | 0.424594 | − | 0.584403i | −0.542108 | − | 0.840309i | \(-0.682374\pi\) |
0.966702 | + | 0.255906i | \(0.0823736\pi\) | |||||||
\(608\) | −0.715313 | + | 2.20151i | −0.0290098 | + | 0.0892829i | ||||
\(609\) | −3.83012 | + | 11.2346i | −0.155204 | + | 0.455247i | ||||
\(610\) | 15.3142 | + | 8.85426i | 0.620054 | + | 0.358499i | ||||
\(611\) | −12.4000 | − | 17.0671i | −0.501650 | − | 0.690463i | ||||
\(612\) | −6.87270 | + | 2.23307i | −0.277812 | + | 0.0902667i | ||||
\(613\) | −0.942644 | + | 2.90116i | −0.0380731 | + | 0.117177i | −0.968287 | − | 0.249842i | \(-0.919621\pi\) |
0.930214 | + | 0.367018i | \(0.119621\pi\) | |||||||
\(614\) | 11.7220 | − | 16.1339i | 0.473061 | − | 0.651112i | ||||
\(615\) | −1.37285 | − | 3.08860i | −0.0553587 | − | 0.124544i | ||||
\(616\) | 4.07816 | − | 7.76972i | 0.164314 | − | 0.313051i | ||||
\(617\) | − | 26.7836i | − | 1.07827i | −0.842220 | − | 0.539133i | \(-0.818752\pi\) | ||
0.842220 | − | 0.539133i | \(-0.181248\pi\) | |||||||
\(618\) | 10.4327 | + | 7.57977i | 0.419663 | + | 0.304903i | ||||
\(619\) | −14.4491 | − | 4.69479i | −0.580758 | − | 0.188700i | 0.00388225 | − | 0.999992i | \(-0.498764\pi\) |
−0.584640 | + | 0.811293i | \(0.698764\pi\) | |||||||
\(620\) | 6.04733 | + | 6.72459i | 0.242867 | + | 0.270066i | ||||
\(621\) | 13.5322 | + | 18.6255i | 0.543029 | + | 0.747416i | ||||
\(622\) | 4.92655 | + | 6.78081i | 0.197537 | + | 0.271886i | ||||
\(623\) | 8.62156 | − | 25.2889i | 0.345415 | − | 1.01318i | ||||
\(624\) | 2.29263 | + | 0.744922i | 0.0917788 | + | 0.0298208i | ||||
\(625\) | −12.5534 | + | 21.6197i | −0.502137 | + | 0.864788i | ||||
\(626\) | −24.5162 | −0.979864 | ||||||||
\(627\) | 5.90734 | + | 2.99289i | 0.235916 | + | 0.119525i | ||||
\(628\) | 20.4818 | 0.817314 | ||||||||
\(629\) | −11.2205 | − | 8.15216i | −0.447390 | − | 0.325048i | ||||
\(630\) | −6.84614 | + | 11.4569i | −0.272757 | + | 0.456452i | ||||
\(631\) | −2.21702 | − | 6.82330i | −0.0882583 | − | 0.271631i | 0.897180 | − | 0.441665i | \(-0.145612\pi\) |
−0.985438 | + | 0.170034i | \(0.945612\pi\) | |||||||
\(632\) | −7.48280 | − | 10.2992i | −0.297650 | − | 0.409680i | ||||
\(633\) | 11.9489 | + | 16.4462i | 0.474925 | + | 0.653678i | ||||
\(634\) | −13.6488 | + | 4.43476i | −0.542063 | + | 0.176127i | ||||
\(635\) | 31.4661 | − | 3.28758i | 1.24869 | − | 0.130464i | ||||
\(636\) | 0.929234 | − | 1.27898i | 0.0368465 | − | 0.0507149i | ||||
\(637\) | −18.7718 | + | 5.50675i | −0.743765 | + | 0.218185i | ||||
\(638\) | −17.0436 | − | 2.65938i | −0.674763 | − | 0.105286i | ||||
\(639\) | −17.6023 | −0.696335 | ||||||||
\(640\) | −0.466255 | + | 2.18692i | −0.0184303 | + | 0.0864455i | ||||
\(641\) | −2.27829 | + | 7.01185i | −0.0899869 | + | 0.276951i | −0.985915 | − | 0.167248i | \(-0.946512\pi\) |
0.895928 | + | 0.444200i | \(0.146512\pi\) | |||||||
\(642\) | 3.20498 | + | 9.86390i | 0.126490 | + | 0.389297i | ||||
\(643\) | −11.2162 | + | 8.14903i | −0.442323 | + | 0.321366i | −0.786557 | − | 0.617517i | \(-0.788139\pi\) |
0.344234 | + | 0.938884i | \(0.388139\pi\) | |||||||
\(644\) | −13.4340 | − | 0.193546i | −0.529375 | − | 0.00762677i | ||||
\(645\) | 13.4531 | − | 12.0982i | 0.529715 | − | 0.476366i | ||||
\(646\) | 7.05192 | + | 2.29131i | 0.277454 | + | 0.0901503i | ||||
\(647\) | 1.70773 | + | 1.24074i | 0.0671377 | + | 0.0487784i | 0.620848 | − | 0.783931i | \(-0.286788\pi\) |
−0.553710 | + | 0.832709i | \(0.686788\pi\) | |||||||
\(648\) | 2.85732 | 0.112246 | ||||||||
\(649\) | −28.5546 | + | 14.6319i | −1.12086 | + | 0.574351i | ||||
\(650\) | 10.3727 | + | 9.36288i | 0.406853 | + | 0.367242i | ||||
\(651\) | −2.72553 | − | 8.81859i | −0.106822 | − | 0.345628i | ||||
\(652\) | 16.8752 | + | 5.48308i | 0.660884 | + | 0.214734i | ||||
\(653\) | 44.7435 | − | 14.5381i | 1.75095 | − | 0.568918i | 0.754749 | − | 0.656013i | \(-0.227759\pi\) |
0.996200 | + | 0.0870955i | \(0.0277585\pi\) | |||||||
\(654\) | −4.73850 | − | 6.52199i | −0.185290 | − | 0.255030i | ||||
\(655\) | −13.5058 | − | 7.80868i | −0.527714 | − | 0.305111i | ||||
\(656\) | −0.541521 | − | 1.66663i | −0.0211428 | − | 0.0650710i | ||||
\(657\) | 12.4771 | + | 4.05406i | 0.486779 | + | 0.158164i | ||||
\(658\) | −19.0813 | + | 5.89738i | −0.743867 | + | 0.229904i | ||||
\(659\) | 4.07489i | 0.158735i | 0.996845 | + | 0.0793676i | \(0.0252901\pi\) | ||||
−0.996845 | + | 0.0793676i | \(0.974710\pi\) | |||||||
\(660\) | 5.97595 | + | 2.28246i | 0.232613 | + | 0.0888448i | ||||
\(661\) | 21.7937i | 0.847677i | 0.905738 | + | 0.423838i | \(0.139318\pi\) | ||||
−0.905738 | + | 0.423838i | \(0.860682\pi\) | |||||||
\(662\) | 20.3922 | + | 14.8158i | 0.792566 | + | 0.575833i | ||||
\(663\) | 2.38615 | − | 7.34382i | 0.0926705 | − | 0.285210i | ||||
\(664\) | 8.09789 | − | 2.63116i | 0.314259 | − | 0.102109i | ||||
\(665\) | 12.5929 | − | 5.38150i | 0.488330 | − | 0.208686i | ||||
\(666\) | 5.74142 | + | 7.90238i | 0.222475 | + | 0.306211i | ||||
\(667\) | 8.16157 | + | 25.1187i | 0.316017 | + | 0.972601i | ||||
\(668\) | −14.2600 | − | 4.63337i | −0.551738 | − | 0.179270i | ||||
\(669\) | −7.17427 | − | 5.21241i | −0.277373 | − | 0.201524i | ||||
\(670\) | 15.5841 | − | 6.92695i | 0.602065 | − | 0.267611i | ||||
\(671\) | 18.5104 | − | 18.5955i | 0.714587 | − | 0.717872i | ||||
\(672\) | 1.36787 | − | 1.82678i | 0.0527668 | − | 0.0704696i | ||||
\(673\) | 5.73674 | + | 4.16799i | 0.221135 | + | 0.160664i | 0.692838 | − | 0.721094i | \(-0.256360\pi\) |
−0.471702 | + | 0.881758i | \(0.656360\pi\) | |||||||
\(674\) | 2.77031 | − | 8.52613i | 0.106708 | − | 0.328414i | ||||
\(675\) | −20.6971 | − | 9.24556i | −0.796631 | − | 0.355862i | ||||
\(676\) | −4.19856 | + | 3.05043i | −0.161483 | + | 0.117324i | ||||
\(677\) | −22.7593 | − | 31.3255i | −0.874712 | − | 1.20394i | −0.977858 | − | 0.209271i | \(-0.932891\pi\) |
0.103146 | − | 0.994666i | \(-0.467109\pi\) | |||||||
\(678\) | 0.244873 | − | 0.0795639i | 0.00940428 | − | 0.00305564i | ||||
\(679\) | 3.87382 | + | 5.49667i | 0.148664 | + | 0.210943i | ||||
\(680\) | 7.00519 | + | 1.49352i | 0.268637 | + | 0.0572738i | ||||
\(681\) | − | 14.1995i | − | 0.544125i | ||||||
\(682\) | 11.9381 | − | 6.11728i | 0.457132 | − | 0.234243i | ||||
\(683\) | 6.28478i | 0.240480i | 0.992745 | + | 0.120240i | \(0.0383665\pi\) | ||||
−0.992745 | + | 0.120240i | \(0.961634\pi\) | |||||||
\(684\) | −4.22479 | − | 3.06949i | −0.161539 | − | 0.117365i | ||||
\(685\) | 0.145709 | + | 1.39461i | 0.00556724 | + | 0.0532851i | ||||
\(686\) | −0.800166 | + | 18.5030i | −0.0305505 | + | 0.706447i | ||||
\(687\) | 11.0842 | + | 15.2561i | 0.422888 | + | 0.582056i | ||||
\(688\) | 7.58901 | − | 5.51374i | 0.289328 | − | 0.210209i | ||||
\(689\) | −1.58281 | − | 4.87137i | −0.0603001 | − | 0.185585i | ||||
\(690\) | −1.01779 | − | 9.74148i | −0.0387467 | − | 0.370852i | ||||
\(691\) | −10.7047 | + | 14.7338i | −0.407226 | + | 0.560499i | −0.962539 | − | 0.271143i | \(-0.912599\pi\) |
0.555313 | + | 0.831642i | \(0.312599\pi\) | |||||||
\(692\) | 10.4125i | 0.395823i | ||||||||
\(693\) | 13.8274 | + | 14.1665i | 0.525258 | + | 0.538139i | ||||
\(694\) | −4.33398 | −0.164516 | ||||||||
\(695\) | 2.39310 | − | 11.2246i | 0.0907754 | − | 0.425772i | ||||
\(696\) | −4.26668 | − | 1.38633i | −0.161728 | − | 0.0525486i | ||||
\(697\) | −5.33859 | + | 1.73461i | −0.202213 | + | 0.0657031i | ||||
\(698\) | −15.0164 | + | 10.9101i | −0.568380 | + | 0.412952i | ||||
\(699\) | −11.2667 | + | 8.18570i | −0.426144 | + | 0.309612i | ||||
\(700\) | 11.5585 | − | 6.43439i | 0.436870 | − | 0.243197i | ||||
\(701\) | 21.0859 | + | 6.85122i | 0.796403 | + | 0.258767i | 0.678828 | − | 0.734297i | \(-0.262488\pi\) |
0.117574 | + | 0.993064i | \(0.462488\pi\) | |||||||
\(702\) | −7.44732 | + | 10.2504i | −0.281081 | + | 0.386875i | ||||
\(703\) | − | 10.0226i | − | 0.378010i | ||||||
\(704\) | 2.95858 | + | 1.49893i | 0.111506 | + | 0.0564932i | ||||
\(705\) | −5.91371 | − | 13.3045i | −0.222723 | − | 0.501077i | ||||
\(706\) | −8.84216 | − | 6.42420i | −0.332779 | − | 0.241778i | ||||
\(707\) | 27.4956 | + | 39.0142i | 1.03408 | + | 1.46728i | ||||
\(708\) | −7.93612 | + | 2.57860i | −0.298258 | + | 0.0969098i | ||||
\(709\) | 20.7210 | − | 15.0547i | 0.778195 | − | 0.565392i | −0.126242 | − | 0.992000i | \(-0.540291\pi\) |
0.904437 | + | 0.426608i | \(0.140291\pi\) | |||||||
\(710\) | 15.1041 | + | 8.73282i | 0.566848 | + | 0.327737i | ||||
\(711\) | 27.3140 | − | 8.87486i | 1.02436 | − | 0.332833i | ||||
\(712\) | 9.60425 | + | 3.12061i | 0.359935 | + | 0.116950i | ||||
\(713\) | −16.6160 | − | 12.0722i | −0.622274 | − | 0.452108i | ||||
\(714\) | −5.85159 | − | 4.38160i | −0.218990 | − | 0.163977i | ||||
\(715\) | 17.3633 | − | 11.3173i | 0.649351 | − | 0.423243i | ||||
\(716\) | 20.6461 | 0.771581 | ||||||||
\(717\) | −10.2304 | + | 14.0810i | −0.382063 | + | 0.525864i | ||||
\(718\) | 20.7589 | + | 6.74498i | 0.774715 | + | 0.251720i | ||||
\(719\) | −7.34449 | + | 2.38637i | −0.273903 | + | 0.0889966i | −0.442748 | − | 0.896646i | \(-0.645996\pi\) |
0.168845 | + | 0.985643i | \(0.445996\pi\) | |||||||
\(720\) | −4.36711 | − | 2.52495i | −0.162753 | − | 0.0940993i | ||||
\(721\) | 0.569801 | − | 39.5500i | 0.0212205 | − | 1.47292i | ||||
\(722\) | −4.21551 | − | 12.9740i | −0.156885 | − | 0.482843i | ||||
\(723\) | −1.71766 | + | 5.28640i | −0.0638803 | + | 0.196603i | ||||
\(724\) | 9.18635 | − | 12.6439i | 0.341408 | − | 0.469908i | ||||
\(725\) | −19.3041 | − | 17.4247i | −0.716935 | − | 0.647135i | ||||
\(726\) | 5.54180 | − | 7.70168i | 0.205676 | − | 0.285836i | ||||
\(727\) | −44.9203 | −1.66600 | −0.833001 | − | 0.553272i | \(-0.813379\pi\) | ||||
−0.833001 | + | 0.553272i | \(0.813379\pi\) | |||||||
\(728\) | −2.18335 | − | 7.06435i | −0.0809203 | − | 0.261822i | ||||
\(729\) | 1.63339 | − | 5.02704i | 0.0604958 | − | 0.186187i | ||||
\(730\) | −8.69506 | − | 9.66883i | −0.321819 | − | 0.357860i | ||||
\(731\) | −17.6618 | − | 24.3093i | −0.653243 | − | 0.899113i | ||||
\(732\) | 5.52059 | − | 4.01095i | 0.204047 | − | 0.148249i | ||||
\(733\) | 48.4375 | − | 15.7383i | 1.78908 | − | 0.581308i | 0.789603 | − | 0.613618i | \(-0.210287\pi\) |
0.999478 | + | 0.0323109i | \(0.0102867\pi\) | |||||||
\(734\) | −5.68237 | + | 17.4885i | −0.209740 | + | 0.645513i | ||||
\(735\) | −13.4631 | + | 1.01556i | −0.496595 | + | 0.0374596i | ||||
\(736\) | − | 5.07812i | − | 0.187182i | ||||||
\(737\) | −4.01437 | − | 24.9749i | −0.147871 | − | 0.919962i | ||||
\(738\) | 3.95336 | 0.145525 | ||||||||
\(739\) | 21.5089 | − | 29.6045i | 0.791219 | − | 1.08902i | −0.202736 | − | 0.979233i | \(-0.564983\pi\) |
0.993955 | − | 0.109786i | \(-0.0350165\pi\) | |||||||
\(740\) | −1.00607 | − | 9.62929i | −0.0369839 | − | 0.353980i | ||||
\(741\) | 5.30700 | − | 1.72435i | 0.194957 | − | 0.0633455i | ||||
\(742\) | −4.84859 | − | 0.0698542i | −0.177997 | − | 0.00256443i | ||||
\(743\) | −14.0197 | + | 10.1859i | −0.514332 | + | 0.373684i | −0.814464 | − | 0.580214i | \(-0.802969\pi\) |
0.300133 | + | 0.953897i | \(0.402969\pi\) | |||||||
\(744\) | 3.31793 | − | 1.07806i | 0.121641 | − | 0.0395236i | ||||
\(745\) | −0.188874 | − | 1.80774i | −0.00691979 | − | 0.0662306i | ||||
\(746\) | −27.0568 | − | 19.6579i | −0.990619 | − | 0.719727i | ||||
\(747\) | 19.2088i | 0.702811i | ||||||||
\(748\) | 4.80142 | − | 9.47700i | 0.175557 | − | 0.346513i | ||||
\(749\) | 19.0677 | − | 25.4647i | 0.696718 | − | 0.930461i | ||||
\(750\) | 5.65405 | + | 7.81251i | 0.206457 | + | 0.285273i | ||||
\(751\) | 7.90135 | − | 24.3179i | 0.288324 | − | 0.887371i | −0.697058 | − | 0.717015i | \(-0.745508\pi\) |
0.985382 | − | 0.170357i | \(-0.0544919\pi\) | |||||||
\(752\) | −2.33266 | − | 7.17920i | −0.0850634 | − | 0.261798i | ||||
\(753\) | −1.66565 | − | 2.29258i | −0.0606998 | − | 0.0835462i | ||||
\(754\) | −11.7593 | + | 8.54360i | −0.428247 | + | 0.311140i | ||||
\(755\) | 35.3215 | + | 39.2772i | 1.28548 | + | 1.42944i | ||||
\(756\) | 6.90990 | + | 9.80464i | 0.251311 | + | 0.356591i | ||||
\(757\) | −18.8993 | + | 26.0126i | −0.686905 | + | 0.945444i | −0.999991 | − | 0.00428091i | \(-0.998637\pi\) |
0.313086 | + | 0.949725i | \(0.398637\pi\) | |||||||
\(758\) | 30.5686 | 1.11030 | ||||||||
\(759\) | −14.3539 | − | 2.23970i | −0.521014 | − | 0.0812960i | ||||
\(760\) | 2.10237 | + | 4.72986i | 0.0762610 | + | 0.171570i | ||||
\(761\) | −3.30634 | − | 2.40220i | −0.119855 | − | 0.0870795i | 0.526243 | − | 0.850334i | \(-0.323600\pi\) |
−0.646098 | + | 0.763255i | \(0.723600\pi\) | |||||||
\(762\) | 3.77131 | − | 11.6069i | 0.136620 | − | 0.420474i | ||||
\(763\) | −7.97913 | + | 23.4045i | −0.288864 | + | 0.847301i | ||||
\(764\) | −5.44984 | + | 3.95954i | −0.197168 | + | 0.143251i | ||||
\(765\) | −8.08798 | + | 13.9888i | −0.292421 | + | 0.505768i | ||||
\(766\) | 4.37049 | + | 13.4510i | 0.157912 | + | 0.486004i | ||||
\(767\) | −8.35455 | + | 25.7127i | −0.301665 | + | 0.928431i | ||||
\(768\) | 0.697835 | + | 0.507006i | 0.0251809 | + | 0.0182950i | ||||
\(769\) | −43.4712 | −1.56761 | −0.783805 | − | 0.621007i | \(-0.786724\pi\) | ||||
−0.783805 | + | 0.621007i | \(0.786724\pi\) | |||||||
\(770\) | −4.83673 | − | 19.0159i | −0.174304 | − | 0.685287i | ||||
\(771\) | 12.6740 | 0.456444 | ||||||||
\(772\) | 6.75164 | + | 4.90535i | 0.242997 | + | 0.176548i | ||||
\(773\) | −8.69833 | + | 26.7707i | −0.312857 | + | 0.962876i | 0.663770 | + | 0.747937i | \(0.268955\pi\) |
−0.976627 | + | 0.214939i | \(0.931045\pi\) | |||||||
\(774\) | 6.53949 | + | 20.1265i | 0.235057 | + | 0.723431i | ||||
\(775\) | 20.1091 | + | 2.13866i | 0.722342 | + | 0.0768229i | ||||
\(776\) | −2.05624 | + | 1.49394i | −0.0738146 | + | 0.0536295i | ||||
\(777\) | −3.18853 | + | 9.35264i | −0.114388 | + | 0.335524i | ||||
\(778\) | 9.55492 | − | 29.4070i | 0.342560 | − | 1.05429i | ||||
\(779\) | −3.28174 | − | 2.38432i | −0.117581 | − | 0.0854273i | ||||
\(780\) | 4.92564 | − | 2.18940i | 0.176366 | − | 0.0783929i | ||||
\(781\) | 18.2565 | − | 18.3405i | 0.653270 | − | 0.656274i | ||||
\(782\) | −16.2663 | −0.581683 | ||||||||
\(783\) | 13.8597 | − | 19.0763i | 0.495307 | − | 0.681731i | ||||
\(784\) | −6.99709 | − | 0.201658i | −0.249896 | − | 0.00720206i | ||||
\(785\) | 34.0540 | − | 30.6243i | 1.21544 | − | 1.09303i | ||||
\(786\) | −4.86868 | + | 3.53730i | −0.173660 | + | 0.126171i | ||||
\(787\) | 21.9744 | + | 30.2451i | 0.783302 | + | 1.07812i | 0.994910 | + | 0.100768i | \(0.0321299\pi\) |
−0.211608 | + | 0.977355i | \(0.567870\pi\) | |||||||
\(788\) | 1.22303 | + | 3.76411i | 0.0435688 | + | 0.134091i | ||||
\(789\) | −2.79410 | + | 8.59937i | −0.0994727 | + | 0.306146i | ||||
\(790\) | −27.8406 | − | 5.93566i | −0.990522 | − | 0.211181i | ||||
\(791\) | −0.632166 | − | 0.473358i | −0.0224772 | − | 0.0168307i | ||||
\(792\) | −5.27857 | + | 5.30284i | −0.187566 | + | 0.188428i | ||||
\(793\) | − | 22.1089i | − | 0.785110i | ||||||
\(794\) | 1.92650 | + | 1.39968i | 0.0683689 | + | 0.0496729i | ||||
\(795\) | −0.367340 | − | 3.51588i | −0.0130282 | − | 0.124695i | ||||
\(796\) | −2.63781 | + | 0.857077i | −0.0934948 | + | 0.0303783i | ||||
\(797\) | 22.4845 | − | 16.3360i | 0.796443 | − | 0.578650i | −0.113425 | − | 0.993547i | \(-0.536182\pi\) |
0.909868 | + | 0.414897i | \(0.136182\pi\) | |||||||
\(798\) | 0.0761008 | − | 5.28217i | 0.00269394 | − | 0.186987i | ||||
\(799\) | −22.9966 | + | 7.47204i | −0.813560 | + | 0.264342i | ||||
\(800\) | 2.49465 | + | 4.33321i | 0.0881993 | + | 0.153202i | ||||
\(801\) | −13.3909 | + | 18.4310i | −0.473144 | + | 0.651227i | ||||
\(802\) | 16.4554 | 0.581062 | ||||||||
\(803\) | −17.1650 | + | 8.79563i | −0.605738 | + | 0.310391i | ||||
\(804\) | − | 6.57872i | − | 0.232013i | ||||||
\(805\) | −22.6254 | + | 19.7647i | −0.797442 | + | 0.696615i | ||||
\(806\) | 3.49287 | − | 10.7499i | 0.123031 | − | 0.378650i | ||||
\(807\) | −22.2721 | + | 7.23664i | −0.784015 | + | 0.254742i | ||||
\(808\) | −14.5947 | + | 10.6037i | −0.513441 | + | 0.373037i | ||||
\(809\) | −4.46307 | − | 6.14288i | −0.156913 | − | 0.215972i | 0.723321 | − | 0.690512i | \(-0.242615\pi\) |
−0.880234 | + | 0.474539i | \(0.842615\pi\) | |||||||
\(810\) | 4.75071 | − | 4.27225i | 0.166923 | − | 0.150112i | ||||
\(811\) | −9.16191 | + | 28.1975i | −0.321718 | + | 0.990147i | 0.651182 | + | 0.758922i | \(0.274273\pi\) |
−0.972900 | + | 0.231225i | \(0.925727\pi\) | |||||||
\(812\) | 4.06329 | + | 13.1470i | 0.142594 | + | 0.461370i | ||||
\(813\) | −19.3320 | −0.678004 | ||||||||
\(814\) | −14.1886 | − | 2.21391i | −0.497310 | − | 0.0775974i | ||||
\(815\) | 36.2557 | − | 16.1153i | 1.26998 | − | 0.564494i | ||||
\(816\) | 1.62406 | − | 2.23532i | 0.0568533 | − | 0.0782519i | ||||
\(817\) | 6.71002 | − | 20.6513i | 0.234754 | − | 0.722498i | ||||
\(818\) | −4.68844 | − | 14.4295i | −0.163928 | − | 0.504517i | ||||
\(819\) | 16.6790 | + | 0.240297i | 0.582813 | + | 0.00839665i | ||||
\(820\) | −3.39229 | − | 1.96134i | −0.118464 | − | 0.0684928i | ||||
\(821\) | −17.8574 | + | 5.80223i | −0.623228 | + | 0.202499i | −0.603573 | − | 0.797308i | \(-0.706257\pi\) |
−0.0196551 | + | 0.999807i | \(0.506257\pi\) | |||||||
\(822\) | 0.514429 | + | 0.167148i | 0.0179428 | + | 0.00582995i | ||||
\(823\) | 20.8596 | − | 28.7108i | 0.727121 | − | 1.00080i | −0.272136 | − | 0.962259i | \(-0.587730\pi\) |
0.999257 | − | 0.0385380i | \(-0.0122701\pi\) | |||||||
\(824\) | 14.9501 | 0.520810 | ||||||||
\(825\) | 13.3486 | − | 5.14028i | 0.464739 | − | 0.178962i | ||||
\(826\) | 20.4880 | + | 15.3411i | 0.712868 | + | 0.533786i | ||||
\(827\) | 0.318020 | + | 0.231055i | 0.0110586 | + | 0.00803457i | 0.593301 | − | 0.804981i | \(-0.297824\pi\) |
−0.582242 | + | 0.813015i | \(0.697824\pi\) | |||||||
\(828\) | 10.8954 | + | 3.54012i | 0.378641 | + | 0.123028i | ||||
\(829\) | −5.89445 | + | 1.91522i | −0.204723 | + | 0.0665184i | −0.409583 | − | 0.912273i | \(-0.634326\pi\) |
0.204861 | + | 0.978791i | \(0.434326\pi\) | |||||||
\(830\) | 9.52982 | − | 16.4826i | 0.330785 | − | 0.572120i | ||||
\(831\) | 7.94543 | − | 5.77269i | 0.275624 | − | 0.200252i | ||||
\(832\) | 2.65791 | − | 0.863607i | 0.0921464 | − | 0.0299402i | ||||
\(833\) | −0.645955 | + | 22.4133i | −0.0223810 | + | 0.776574i | ||||
\(834\) | −3.58171 | − | 2.60226i | −0.124024 | − | 0.0901090i | ||||
\(835\) | −30.6372 | + | 13.6179i | −1.06024 | + | 0.471267i | ||||
\(836\) | 7.58003 | − | 1.21839i | 0.262161 | − | 0.0421388i | ||||
\(837\) | 18.3364i | 0.633798i | ||||||||
\(838\) | 20.4162 | − | 28.1005i | 0.705266 | − | 0.970716i | ||||
\(839\) | 32.0522 | + | 10.4144i | 1.10656 | + | 0.359545i | 0.804626 | − | 0.593783i | \(-0.202366\pi\) |
0.301939 | + | 0.953327i | \(0.402366\pi\) | |||||||
\(840\) | −0.457111 | − | 5.08252i | −0.0157718 | − | 0.175364i | ||||
\(841\) | −1.57708 | + | 1.14582i | −0.0543822 | + | 0.0395110i | ||||
\(842\) | 19.8406 | − | 14.4151i | 0.683753 | − | 0.496776i | ||||
\(843\) | −1.99464 | + | 0.648099i | −0.0686991 | + | 0.0223217i | ||||
\(844\) | 22.4140 | + | 7.28275i | 0.771522 | + | 0.250683i | ||||
\(845\) | −2.41972 | + | 11.3495i | −0.0832410 | + | 0.390433i | ||||
\(846\) | 17.0295 | 0.585488 | ||||||||
\(847\) | −29.1019 | − | 0.285757i | −0.999952 | − | 0.00981873i | ||||
\(848\) | − | 1.83278i | − | 0.0629381i | ||||||
\(849\) | −9.60278 | + | 13.2171i | −0.329567 | + | 0.453610i | ||||
\(850\) | 13.8802 | − | 7.99093i | 0.476088 | − | 0.274087i | ||||
\(851\) | 6.79441 | + | 20.9110i | 0.232909 | + | 0.716822i | ||||
\(852\) | 5.44487 | − | 3.95593i | 0.186538 | − | 0.135528i | ||||
\(853\) | 22.4411 | + | 30.8875i | 0.768369 | + | 1.05757i | 0.996471 | + | 0.0839319i | \(0.0267478\pi\) |
−0.228103 | + | 0.973637i | \(0.573252\pi\) | |||||||
\(854\) | −19.8110 | − | 6.75401i | −0.677918 | − | 0.231118i | ||||
\(855\) | −11.6138 | + | 1.21341i | −0.397184 | + | 0.0414979i | ||||
\(856\) | 9.72759 | + | 7.06751i | 0.332482 | + | 0.241562i | ||||
\(857\) | 41.5846i | 1.42050i | 0.703949 | + | 0.710251i | \(0.251418\pi\) | ||||
−0.703949 | + | 0.710251i | \(0.748582\pi\) | |||||||
\(858\) | −1.26882 | − | 7.89380i | −0.0433168 | − | 0.269490i | ||||
\(859\) | − | 14.1090i | − | 0.481392i | −0.970601 | − | 0.240696i | \(-0.922624\pi\) | ||
0.970601 | − | 0.240696i | \(-0.0773758\pi\) | |||||||
\(860\) | 4.37372 | − | 20.5145i | 0.149143 | − | 0.699537i | ||||
\(861\) | 2.30384 | + | 3.26897i | 0.0785146 | + | 0.111406i | ||||
\(862\) | 26.7492 | − | 8.69135i | 0.911082 | − | 0.296028i | ||||
\(863\) | 17.4175 | + | 23.9731i | 0.592899 | + | 0.816055i | 0.995035 | − | 0.0995248i | \(-0.0317323\pi\) |
−0.402136 | + | 0.915580i | \(0.631732\pi\) | |||||||
\(864\) | −3.66780 | + | 2.66481i | −0.124781 | + | 0.0906587i | ||||
\(865\) | 15.5687 | + | 17.3123i | 0.529351 | + | 0.588634i | ||||
\(866\) | 8.77864 | − | 27.0179i | 0.298310 | − | 0.918104i | ||||
\(867\) | 4.70295 | + | 3.41690i | 0.159721 | + | 0.116044i | ||||
\(868\) | −8.56560 | − | 6.41381i | −0.290735 | − | 0.217699i | ||||
\(869\) | −19.0822 | + | 37.6642i | −0.647319 | + | 1.27767i | ||||
\(870\) | −9.16680 | + | 4.07455i | −0.310784 | + | 0.138140i | ||||
\(871\) | −17.2440 | − | 12.5285i | −0.584290 | − | 0.424512i | ||||
\(872\) | −8.88861 | − | 2.88808i | −0.301006 | − | 0.0978028i | ||||
\(873\) | −1.77187 | − | 5.45325i | −0.0599687 | − | 0.184565i | ||||
\(874\) | −6.90932 | − | 9.50986i | −0.233711 | − | 0.321676i | ||||
\(875\) | 9.59699 | − | 27.9803i | 0.324438 | − | 0.945907i | ||||
\(876\) | −4.77063 | + | 1.55007i | −0.161185 | + | 0.0523721i | ||||
\(877\) | −6.83141 | + | 21.0249i | −0.230680 | + | 0.709961i | 0.766985 | + | 0.641665i | \(0.221756\pi\) |
−0.997665 | + | 0.0682956i | \(0.978244\pi\) | |||||||
\(878\) | 27.0943 | + | 19.6851i | 0.914387 | + | 0.664341i | ||||
\(879\) | − | 3.61453i | − | 0.121915i | ||||||
\(880\) | 7.16027 | − | 1.93146i | 0.241373 | − | 0.0651095i | ||||
\(881\) | 13.0581i | 0.439937i | 0.975507 | + | 0.219969i | \(0.0705955\pi\) | ||||
−0.975507 | + | 0.219969i | \(0.929405\pi\) | |||||||
\(882\) | 5.31058 | − | 14.8721i | 0.178816 | − | 0.500769i | ||||
\(883\) | −38.4463 | − | 12.4920i | −1.29382 | − | 0.420388i | −0.420394 | − | 0.907342i | \(-0.638108\pi\) |
−0.873428 | + | 0.486953i | \(0.838108\pi\) | |||||||
\(884\) | −2.76633 | − | 8.51388i | −0.0930416 | − | 0.286353i | ||||
\(885\) | −9.33944 | + | 16.1534i | −0.313942 | + | 0.542989i | ||||
\(886\) | 6.47372 | + | 8.91031i | 0.217489 | + | 0.299348i | ||||
\(887\) | −0.121163 | + | 0.0393684i | −0.00406827 | + | 0.00132186i | −0.311050 | − | 0.950393i | \(-0.600681\pi\) |
0.306982 | + | 0.951715i | \(0.400681\pi\) | |||||||
\(888\) | −3.55196 | − | 1.15410i | −0.119196 | − | 0.0387291i | ||||
\(889\) | −35.7646 | + | 11.0536i | −1.19951 | + | 0.370727i | ||||
\(890\) | 20.6344 | − | 9.17177i | 0.691667 | − | 0.307438i | ||||
\(891\) | −4.32167 | − | 8.43388i | −0.144781 | − | 0.282545i | ||||
\(892\) | −10.2808 | −0.344225 | ||||||||
\(893\) | −14.1365 | − | 10.2707i | −0.473059 | − | 0.343697i | ||||
\(894\) | −0.666823 | − | 0.216664i | −0.0223019 | − | 0.00724633i | ||||
\(895\) | 34.3271 | − | 30.8699i | 1.14743 | − | 1.03187i | ||||
\(896\) | 0.0381137 | − | 2.64548i | 0.00127329 | − | 0.0883792i | ||||
\(897\) | −9.90350 | + | 7.19532i | −0.330668 | + | 0.240245i | ||||
\(898\) | 3.67433 | + | 11.3084i | 0.122614 | + | 0.377367i | ||||
\(899\) | −6.50035 | + | 20.0060i | −0.216799 | + | 0.667238i | ||||
\(900\) | −11.0363 | + | 2.33159i | −0.367875 | + | 0.0777197i | ||||
\(901\) | −5.87082 | −0.195585 | ||||||||
\(902\) | −4.10030 | + | 4.11915i | −0.136525 | + | 0.137153i | ||||
\(903\) | −12.8314 | + | 17.1362i | −0.427001 | + | 0.570257i | ||||
\(904\) | 0.175452 | − | 0.241489i | 0.00583544 | − | 0.00803179i | ||||
\(905\) | −3.63150 | − | 34.7578i | −0.120715 | − | 1.15539i | ||||
\(906\) | 19.3795 | − | 6.29677i | 0.643840 | − | 0.209196i | ||||
\(907\) | −11.4900 | − | 15.8147i | −0.381520 | − | 0.525117i | 0.574467 | − | 0.818528i | \(-0.305210\pi\) |
−0.955986 | + | 0.293411i | \(0.905210\pi\) | |||||||
\(908\) | −9.67601 | − | 13.3179i | −0.321110 | − | 0.441970i | ||||
\(909\) | −12.5764 | − | 38.7060i | −0.417131 | − | 1.28380i | ||||
\(910\) | −14.1927 | − | 8.48098i | −0.470484 | − | 0.281142i | ||||
\(911\) | 18.8935 | + | 13.7269i | 0.625969 | + | 0.454793i | 0.855001 | − | 0.518626i | \(-0.173556\pi\) |
−0.229032 | + | 0.973419i | \(0.573556\pi\) | |||||||
\(912\) | 1.99668 | 0.0661167 | ||||||||
\(913\) | −20.0143 | − | 19.9227i | −0.662377 | − | 0.659346i | ||||
\(914\) | 27.1058 | 0.896580 | ||||||||
\(915\) | 3.18164 | − | 14.9232i | 0.105182 | − | 0.493344i | ||||
\(916\) | 20.7920 | + | 6.75574i | 0.686988 | + | 0.223216i | ||||
\(917\) | 17.4715 | + | 5.95645i | 0.576961 | + | 0.196699i | ||||
\(918\) | 8.53599 | + | 11.7488i | 0.281730 | + | 0.387768i | ||||
\(919\) | 23.2717 | + | 32.0308i | 0.767663 | + | 1.05660i | 0.996538 | + | 0.0831417i | \(0.0264954\pi\) |
−0.228875 | + | 0.973456i | \(0.573505\pi\) | |||||||
\(920\) | −7.59278 | − | 8.44311i | −0.250326 | − | 0.278361i | ||||
\(921\) | −16.3600 | − | 5.31569i | −0.539081 | − | 0.175158i | ||||
\(922\) | 7.19724 | + | 5.22910i | 0.237028 | + | 0.172211i | ||||
\(923\) | − | 21.8056i | − | 0.717742i | ||||||
\(924\) | −7.46095 | − | 1.27452i | −0.245447 | − | 0.0419286i | ||||
\(925\) | −16.0704 | − | 14.5058i | −0.528392 | − | 0.476949i | ||||
\(926\) | −9.63214 | + | 13.2575i | −0.316532 | + | 0.435668i | ||||
\(927\) | −10.4222 | + | 32.0762i | −0.342309 | + | 1.05352i | ||||
\(928\) | −4.94646 | + | 1.60720i | −0.162376 | + | 0.0527591i | ||||
\(929\) | −5.75046 | − | 7.91483i | −0.188666 | − | 0.259677i | 0.704197 | − | 0.710005i | \(-0.251307\pi\) |
−0.892863 | + | 0.450328i | \(0.851307\pi\) | |||||||
\(930\) | 3.90463 | − | 6.75338i | 0.128038 | − | 0.221452i | ||||
\(931\) | −13.3779 | + | 9.14265i | −0.438444 | + | 0.299638i | ||||
\(932\) | −4.98913 | + | 15.3550i | −0.163424 | + | 0.502969i | ||||
\(933\) | 4.24950 | − | 5.84893i | 0.139122 | − | 0.191486i | ||||
\(934\) | −2.27261 | −0.0743620 | ||||||||
\(935\) | −6.18690 | − | 22.9359i | −0.202333 | − | 0.750086i | ||||
\(936\) | 6.30474i | 0.206077i | ||||||||
\(937\) | 19.1984 | − | 26.4243i | 0.627184 | − | 0.863244i | −0.370667 | − | 0.928766i | \(-0.620871\pi\) |
0.997851 | + | 0.0655213i | \(0.0208710\pi\) | |||||||
\(938\) | −16.4942 | + | 11.6244i | −0.538553 | + | 0.379550i | ||||
\(939\) | 6.53477 | + | 20.1120i | 0.213254 | + | 0.656329i | ||||
\(940\) | −14.6127 | − | 8.44867i | −0.476613 | − | 0.275565i | ||||
\(941\) | −17.6290 | + | 12.8082i | −0.574689 | + | 0.417536i | −0.836806 | − | 0.547500i | \(-0.815580\pi\) |
0.262116 | + | 0.965036i | \(0.415580\pi\) | |||||||
\(942\) | −5.45941 | − | 16.8023i | −0.177877 | − | 0.547450i | ||||
\(943\) | 8.46334 | + | 2.74991i | 0.275604 | + | 0.0895493i | ||||
\(944\) | −5.68625 | + | 7.82645i | −0.185072 | + | 0.254729i | ||||
\(945\) | 26.1486 | + | 5.96999i | 0.850613 | + | 0.194204i | ||||
\(946\) | −27.7531 | − | 14.0608i | −0.902330 | − | 0.457156i | ||||
\(947\) | 46.0261i | 1.49565i | 0.663897 | + | 0.747824i | \(0.268901\pi\) | ||||
−0.663897 | + | 0.747824i | \(0.731099\pi\) | |||||||
\(948\) | −6.45445 | + | 8.88378i | −0.209631 | + | 0.288532i | ||||
\(949\) | −5.02216 | + | 15.4566i | −0.163026 | + | 0.501743i | ||||
\(950\) | 10.5676 | + | 4.72062i | 0.342857 | + | 0.153157i | ||||
\(951\) | 7.27615 | + | 10.0148i | 0.235945 | + | 0.324751i | ||||
\(952\) | −8.47406 | − | 0.122087i | −0.274646 | − | 0.00395685i | ||||
\(953\) | −5.98906 | − | 18.4324i | −0.194005 | − | 0.597085i | −0.999987 | − | 0.00514514i | \(-0.998362\pi\) |
0.805982 | − | 0.591940i | \(-0.201638\pi\) | |||||||
\(954\) | 3.93234 | + | 1.27770i | 0.127314 | + | 0.0413669i | ||||
\(955\) | −3.14087 | + | 14.7319i | −0.101636 | + | 0.476713i | ||||
\(956\) | 20.1781i | 0.652607i | ||||||||
\(957\) | 2.36132 | + | 14.6906i | 0.0763307 | + | 0.474881i | ||||
\(958\) | 22.4132 | 0.724139 | ||||||||
\(959\) | −0.489907 | − | 1.58512i | −0.0158199 | − | 0.0511862i | ||||
\(960\) | 1.91833 | − | 0.200427i | 0.0619137 | − | 0.00646876i | ||||
\(961\) | 4.52461 | + | 13.9253i | 0.145955 | + | 0.449204i | ||||
\(962\) | −9.78945 | + | 7.11245i | −0.315624 | + | 0.229315i | ||||
\(963\) | −21.9452 | + | 15.9441i | −0.707173 | + | 0.513791i | ||||
\(964\) | 1.99132 | + | 6.12866i | 0.0641361 | + | 0.197391i | ||||
\(965\) | 18.5600 | − | 1.93916i | 0.597469 | − | 0.0624237i | ||||
\(966\) | 3.42205 | + | 11.0723i | 0.110103 | + | 0.356244i | ||||
\(967\) | 41.3208 | 1.32879 | 0.664393 | − | 0.747383i | \(-0.268690\pi\) | ||||
0.664393 | + | 0.747383i | \(0.268690\pi\) | |||||||
\(968\) | −0.0504592 | − | 10.9999i | −0.00162182 | − | 0.353550i | ||||
\(969\) | − | 6.39582i | − | 0.205463i | ||||||
\(970\) | −1.18506 | + | 5.55838i | −0.0380499 | + | 0.178469i | ||||
\(971\) | −48.8798 | − | 15.8820i | −1.56863 | − | 0.509678i | −0.609532 | − | 0.792761i | \(-0.708643\pi\) |
−0.959095 | + | 0.283083i | \(0.908643\pi\) | |||||||
\(972\) | −4.96454 | − | 15.2793i | −0.159238 | − | 0.490083i | ||||
\(973\) | −0.195622 | + | 13.5782i | −0.00627136 | + | 0.435296i | ||||
\(974\) | 11.1209 | + | 15.3066i | 0.356337 | + | 0.490456i | ||||
\(975\) | 4.91602 | − | 11.0050i | 0.157439 | − | 0.352442i | ||||
\(976\) | 2.44464 | − | 7.52384i | 0.0782512 | − | 0.240832i | ||||
\(977\) | −6.89083 | + | 9.48441i | −0.220457 | + | 0.303433i | −0.904892 | − | 0.425640i | \(-0.860049\pi\) |
0.684435 | + | 0.729074i | \(0.260049\pi\) | |||||||
\(978\) | − | 15.3051i | − | 0.489404i | ||||||
\(979\) | −5.31532 | − | 33.0685i | −0.169878 | − | 1.05687i | ||||
\(980\) | −11.9352 | + | 10.1267i | −0.381256 | + | 0.323487i | ||||
\(981\) | 12.3931 | − | 17.0576i | 0.395681 | − | 0.544608i | ||||
\(982\) | −7.55842 | − | 2.45588i | −0.241199 | − | 0.0783703i | ||||
\(983\) | −8.02450 | − | 24.6969i | −0.255942 | − | 0.787707i | −0.993643 | − | 0.112580i | \(-0.964089\pi\) |
0.737701 | − | 0.675128i | \(-0.235911\pi\) | |||||||
\(984\) | −1.22288 | + | 0.888477i | −0.0389841 | + | 0.0283236i | ||||
\(985\) | 7.66155 | + | 4.42971i | 0.244117 | + | 0.141142i | ||||
\(986\) | 5.14823 | + | 15.8446i | 0.163953 | + | 0.504596i | ||||
\(987\) | 9.92404 | + | 14.0815i | 0.315886 | + | 0.448218i | ||||
\(988\) | 3.80247 | − | 5.23366i | 0.120973 | − | 0.166505i | ||||
\(989\) | 47.6355i | 1.51472i | ||||||||
\(990\) | −0.847609 | + | 16.7092i | −0.0269388 | + | 0.531055i | ||||
\(991\) | 22.9032 | 0.727544 | 0.363772 | − | 0.931488i | \(-0.381489\pi\) | ||||
0.363772 | + | 0.931488i | \(0.381489\pi\) | |||||||
\(992\) | 2.37730 | − | 3.27208i | 0.0754795 | − | 0.103889i | ||||
\(993\) | 6.71868 | − | 20.6780i | 0.213211 | − | 0.656195i | ||||
\(994\) | −19.5392 | − | 6.66137i | −0.619747 | − | 0.211286i | ||||
\(995\) | −3.10425 | + | 5.36906i | −0.0984113 | + | 0.170211i | ||||
\(996\) | −4.31697 | − | 5.94180i | −0.136788 | − | 0.188273i | ||||
\(997\) | −42.9490 | + | 13.9550i | −1.36021 | + | 0.441958i | −0.896112 | − | 0.443828i | \(-0.853620\pi\) |
−0.464095 | + | 0.885786i | \(0.653620\pi\) | |||||||
\(998\) | −0.395005 | + | 1.21570i | −0.0125037 | + | 0.0384823i | ||||
\(999\) | 11.5381 | − | 15.8808i | 0.365049 | − | 0.502446i |
(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 | 770.2.w.a.139.10 | ✓ | 96 | |
5.4 | even | 2 | 770.2.w.b.139.15 | yes | 96 | ||
7.6 | odd | 2 | inner | 770.2.w.a.139.15 | yes | 96 | |
11.8 | odd | 10 | 770.2.w.b.349.10 | yes | 96 | ||
35.34 | odd | 2 | 770.2.w.b.139.10 | yes | 96 | ||
55.19 | odd | 10 | inner | 770.2.w.a.349.15 | yes | 96 | |
77.41 | even | 10 | 770.2.w.b.349.15 | yes | 96 | ||
385.349 | even | 10 | inner | 770.2.w.a.349.10 | yes | 96 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.w.a.139.10 | ✓ | 96 | 1.1 | even | 1 | trivial | |
770.2.w.a.139.15 | yes | 96 | 7.6 | odd | 2 | inner | |
770.2.w.a.349.10 | yes | 96 | 385.349 | even | 10 | inner | |
770.2.w.a.349.15 | yes | 96 | 55.19 | odd | 10 | inner | |
770.2.w.b.139.10 | yes | 96 | 35.34 | odd | 2 | ||
770.2.w.b.139.15 | yes | 96 | 5.4 | even | 2 | ||
770.2.w.b.349.10 | yes | 96 | 11.8 | odd | 10 | ||
770.2.w.b.349.15 | yes | 96 | 77.41 | even | 10 |