Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(67,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 0, 13]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.w (of order \(20\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 223.22 | ||
Character | \(\chi\) | \(=\) | 300.223 |
Dual form | 300.2.w.a.187.22 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.04267 | − | 0.955426i | 0.737279 | − | 0.675588i | ||||
\(3\) | −0.453990 | − | 0.891007i | −0.262112 | − | 0.514423i | ||||
\(4\) | 0.174322 | − | 1.99239i | 0.0871612 | − | 0.996194i | ||||
\(5\) | 0.328085 | − | 2.21187i | 0.146724 | − | 0.989177i | ||||
\(6\) | −1.32465 | − | 0.495272i | −0.540787 | − | 0.202194i | ||||
\(7\) | 3.17506 | + | 3.17506i | 1.20006 | + | 1.20006i | 0.974148 | + | 0.225911i | \(0.0725357\pi\) |
0.225911 | + | 0.974148i | \(0.427464\pi\) | |||||||
\(8\) | −1.72182 | − | 2.24396i | −0.608755 | − | 0.793358i | ||||
\(9\) | −0.587785 | + | 0.809017i | −0.195928 | + | 0.269672i | ||||
\(10\) | −1.77119 | − | 2.61971i | −0.560100 | − | 0.828425i | ||||
\(11\) | −1.22267 | − | 1.68286i | −0.368648 | − | 0.507400i | 0.583885 | − | 0.811836i | \(-0.301532\pi\) |
−0.952533 | + | 0.304436i | \(0.901532\pi\) | |||||||
\(12\) | −1.85437 | + | 0.749203i | −0.535311 | + | 0.216276i | ||||
\(13\) | −0.339738 | − | 2.14502i | −0.0942265 | − | 0.594923i | −0.988944 | − | 0.148290i | \(-0.952623\pi\) |
0.894717 | − | 0.446633i | \(-0.147377\pi\) | |||||||
\(14\) | 6.34407 | + | 0.277005i | 1.69552 | + | 0.0740328i | ||||
\(15\) | −2.11974 | + | 0.711841i | −0.547314 | + | 0.183797i | ||||
\(16\) | −3.93922 | − | 0.694636i | −0.984806 | − | 0.173659i | ||||
\(17\) | −2.26334 | − | 1.15323i | −0.548941 | − | 0.279699i | 0.157443 | − | 0.987528i | \(-0.449675\pi\) |
−0.706384 | + | 0.707829i | \(0.749675\pi\) | |||||||
\(18\) | 0.160090 | + | 1.40512i | 0.0377335 | + | 0.331191i | ||||
\(19\) | 1.87987 | + | 5.78563i | 0.431271 | + | 1.32732i | 0.896860 | + | 0.442315i | \(0.145843\pi\) |
−0.465589 | + | 0.885001i | \(0.654157\pi\) | |||||||
\(20\) | −4.34971 | − | 1.03925i | −0.972624 | − | 0.232384i | ||||
\(21\) | 1.38755 | − | 4.27044i | 0.302788 | − | 0.931887i | ||||
\(22\) | −2.88268 | − | 0.586496i | −0.614590 | − | 0.125041i | ||||
\(23\) | −0.703414 | + | 4.44118i | −0.146672 | + | 0.926051i | 0.799095 | + | 0.601205i | \(0.205312\pi\) |
−0.945767 | + | 0.324846i | \(0.894688\pi\) | |||||||
\(24\) | −1.21769 | + | 2.55289i | −0.248560 | + | 0.521106i | ||||
\(25\) | −4.78472 | − | 1.45136i | −0.956944 | − | 0.290272i | ||||
\(26\) | −2.40365 | − | 1.91196i | −0.471394 | − | 0.374966i | ||||
\(27\) | 0.987688 | + | 0.156434i | 0.190081 | + | 0.0301058i | ||||
\(28\) | 6.87943 | − | 5.77246i | 1.30009 | − | 1.09089i | ||||
\(29\) | 1.37225 | + | 0.445870i | 0.254820 | + | 0.0827960i | 0.433641 | − | 0.901086i | \(-0.357228\pi\) |
−0.178822 | + | 0.983882i | \(0.557228\pi\) | |||||||
\(30\) | −1.53007 | + | 2.76747i | −0.279352 | + | 0.505268i | ||||
\(31\) | 1.68210 | − | 0.546548i | 0.302114 | − | 0.0981629i | −0.154037 | − | 0.988065i | \(-0.549228\pi\) |
0.456151 | + | 0.889902i | \(0.349228\pi\) | |||||||
\(32\) | −4.77098 | + | 3.03936i | −0.843399 | + | 0.537288i | ||||
\(33\) | −0.944357 | + | 1.85340i | −0.164391 | + | 0.322636i | ||||
\(34\) | −3.46174 | + | 0.960016i | −0.593684 | + | 0.164641i | ||||
\(35\) | 8.06450 | − | 5.98112i | 1.36315 | − | 1.01099i | ||||
\(36\) | 1.50941 | + | 1.31213i | 0.251569 | + | 0.218688i | ||||
\(37\) | 8.87863 | − | 1.40624i | 1.45964 | − | 0.231184i | 0.624413 | − | 0.781094i | \(-0.285338\pi\) |
0.835224 | + | 0.549910i | \(0.185338\pi\) | |||||||
\(38\) | 7.48783 | + | 4.23644i | 1.21469 | + | 0.687241i | ||||
\(39\) | −1.75699 | + | 1.27653i | −0.281344 | + | 0.204408i | ||||
\(40\) | −5.52824 | + | 3.07223i | −0.874091 | + | 0.485762i | ||||
\(41\) | 5.90311 | + | 4.28886i | 0.921911 | + | 0.669807i | 0.943999 | − | 0.329949i | \(-0.107031\pi\) |
−0.0220881 | + | 0.999756i | \(0.507031\pi\) | |||||||
\(42\) | −2.63333 | − | 5.77836i | −0.406332 | − | 0.891621i | ||||
\(43\) | 4.19804 | − | 4.19804i | 0.640195 | − | 0.640195i | −0.310408 | − | 0.950603i | \(-0.600466\pi\) |
0.950603 | + | 0.310408i | \(0.100466\pi\) | |||||||
\(44\) | −3.56604 | + | 2.14267i | −0.537601 | + | 0.323019i | ||||
\(45\) | 1.59660 | + | 1.56553i | 0.238006 | + | 0.233375i | ||||
\(46\) | 3.50979 | + | 5.30275i | 0.517491 | + | 0.781848i | ||||
\(47\) | 1.82245 | − | 0.928585i | 0.265832 | − | 0.135448i | −0.315995 | − | 0.948761i | \(-0.602338\pi\) |
0.581827 | + | 0.813313i | \(0.302338\pi\) | |||||||
\(48\) | 1.16945 | + | 3.82523i | 0.168795 | + | 0.552125i | ||||
\(49\) | 13.1620i | 1.88028i | ||||||||
\(50\) | −6.37555 | + | 3.05815i | −0.901640 | + | 0.432488i | ||||
\(51\) | 2.54021i | 0.355700i | ||||||||
\(52\) | −4.33294 | + | 0.302965i | −0.600871 | + | 0.0420137i | ||||
\(53\) | 10.2866 | − | 5.24127i | 1.41297 | − | 0.719944i | 0.429848 | − | 0.902901i | \(-0.358567\pi\) |
0.983121 | + | 0.182957i | \(0.0585670\pi\) | |||||||
\(54\) | 1.17929 | − | 0.780554i | 0.160482 | − | 0.106220i | ||||
\(55\) | −4.12339 | + | 2.15226i | −0.555998 | + | 0.290210i | ||||
\(56\) | 1.65782 | − | 12.5916i | 0.221535 | − | 1.68262i | ||||
\(57\) | 4.30160 | − | 4.30160i | 0.569760 | − | 0.569760i | ||||
\(58\) | 1.85680 | − | 0.846185i | 0.243809 | − | 0.111110i | ||||
\(59\) | −3.92021 | − | 2.84820i | −0.510367 | − | 0.370804i | 0.302596 | − | 0.953119i | \(-0.402147\pi\) |
−0.812963 | + | 0.582315i | \(0.802147\pi\) | |||||||
\(60\) | 1.04875 | + | 4.34743i | 0.135393 | + | 0.561251i | ||||
\(61\) | −11.1415 | + | 8.09476i | −1.42652 | + | 1.03643i | −0.435869 | + | 0.900010i | \(0.643559\pi\) |
−0.990651 | + | 0.136417i | \(0.956441\pi\) | |||||||
\(62\) | 1.23169 | − | 2.17699i | 0.156425 | − | 0.276478i | ||||
\(63\) | −4.43493 | + | 0.702423i | −0.558748 | + | 0.0884970i | ||||
\(64\) | −2.07068 | + | 7.72737i | −0.258835 | + | 0.965922i | ||||
\(65\) | −4.85597 | + | 0.0477062i | −0.602309 | + | 0.00591722i | ||||
\(66\) | 0.786138 | + | 2.83475i | 0.0967669 | + | 0.348934i | ||||
\(67\) | −3.16115 | + | 6.20411i | −0.386196 | + | 0.757953i | −0.999491 | − | 0.0319014i | \(-0.989844\pi\) |
0.613295 | + | 0.789854i | \(0.289844\pi\) | |||||||
\(68\) | −2.69223 | + | 4.30842i | −0.326481 | + | 0.522473i | ||||
\(69\) | 4.27647 | − | 1.38951i | 0.514826 | − | 0.167277i | ||||
\(70\) | 2.69409 | − | 13.9414i | 0.322006 | − | 1.66631i | ||||
\(71\) | −8.47778 | − | 2.75460i | −1.00613 | − | 0.326911i | −0.240816 | − | 0.970571i | \(-0.577415\pi\) |
−0.765312 | + | 0.643660i | \(0.777415\pi\) | |||||||
\(72\) | 2.82746 | − | 0.0740164i | 0.333219 | − | 0.00872292i | ||||
\(73\) | −0.968954 | − | 0.153467i | −0.113407 | − | 0.0179620i | 0.0994727 | − | 0.995040i | \(-0.468284\pi\) |
−0.212880 | + | 0.977078i | \(0.568284\pi\) | |||||||
\(74\) | 7.91392 | − | 9.94911i | 0.919975 | − | 1.15656i | ||||
\(75\) | 0.879045 | + | 4.92212i | 0.101503 | + | 0.568358i | ||||
\(76\) | 11.8549 | − | 2.73686i | 1.35985 | − | 0.313939i | ||||
\(77\) | 1.46113 | − | 9.22520i | 0.166511 | − | 1.05131i | ||||
\(78\) | −0.612334 | + | 3.00968i | −0.0693332 | + | 0.340779i | ||||
\(79\) | −4.20734 | + | 12.9489i | −0.473363 | + | 1.45686i | 0.374790 | + | 0.927110i | \(0.377715\pi\) |
−0.848153 | + | 0.529751i | \(0.822285\pi\) | |||||||
\(80\) | −2.82884 | + | 8.48514i | −0.316274 | + | 0.948668i | ||||
\(81\) | −0.309017 | − | 0.951057i | −0.0343352 | − | 0.105673i | ||||
\(82\) | 10.2527 | − | 1.16812i | 1.13222 | − | 0.128997i | ||||
\(83\) | −4.17938 | − | 2.12950i | −0.458747 | − | 0.233743i | 0.209316 | − | 0.977848i | \(-0.432876\pi\) |
−0.668063 | + | 0.744105i | \(0.732876\pi\) | |||||||
\(84\) | −8.26650 | − | 3.50897i | −0.901949 | − | 0.382860i | ||||
\(85\) | −3.29336 | + | 4.62785i | −0.357215 | + | 0.501961i | ||||
\(86\) | 0.366255 | − | 8.38809i | 0.0394943 | − | 0.904511i | ||||
\(87\) | −0.225714 | − | 1.42510i | −0.0241991 | − | 0.152787i | ||||
\(88\) | −1.67104 | + | 5.64118i | −0.178134 | + | 0.601352i | ||||
\(89\) | 9.07416 | + | 12.4895i | 0.961859 | + | 1.32389i | 0.946053 | + | 0.324011i | \(0.105031\pi\) |
0.0158059 | + | 0.999875i | \(0.494969\pi\) | |||||||
\(90\) | 3.16047 | + | 0.106903i | 0.333143 | + | 0.0112685i | ||||
\(91\) | 5.73188 | − | 7.88926i | 0.600865 | − | 0.827019i | ||||
\(92\) | 8.72594 | + | 2.17567i | 0.909742 | + | 0.226830i | ||||
\(93\) | −1.25064 | − | 1.25064i | −0.129685 | − | 0.129685i | ||||
\(94\) | 1.01302 | − | 2.70943i | 0.104485 | − | 0.279456i | ||||
\(95\) | 13.4138 | − | 2.25984i | 1.37623 | − | 0.231854i | ||||
\(96\) | 4.87407 | + | 2.87114i | 0.497458 | + | 0.293034i | ||||
\(97\) | −4.76437 | − | 9.35061i | −0.483749 | − | 0.949410i | −0.995895 | − | 0.0905123i | \(-0.971150\pi\) |
0.512147 | − | 0.858898i | \(-0.328850\pi\) | |||||||
\(98\) | 12.5753 | + | 13.7236i | 1.27030 | + | 1.38629i | ||||
\(99\) | 2.08012 | 0.209060 | ||||||||
\(100\) | −3.72576 | + | 9.28002i | −0.372576 | + | 0.928002i | ||||
\(101\) | −11.3317 | −1.12755 | −0.563775 | − | 0.825928i | \(-0.690652\pi\) | ||||
−0.563775 | + | 0.825928i | \(0.690652\pi\) | |||||||
\(102\) | 2.42698 | + | 2.64860i | 0.240307 | + | 0.262250i | ||||
\(103\) | −8.24729 | − | 16.1862i | −0.812630 | − | 1.59488i | −0.803789 | − | 0.594915i | \(-0.797186\pi\) |
−0.00884143 | − | 0.999961i | \(-0.502814\pi\) | |||||||
\(104\) | −4.22837 | + | 4.45570i | −0.414626 | + | 0.436917i | ||||
\(105\) | −8.99042 | − | 4.47015i | −0.877375 | − | 0.436242i | ||||
\(106\) | 5.71786 | − | 15.2930i | 0.555367 | − | 1.48538i | ||||
\(107\) | 1.76369 | + | 1.76369i | 0.170502 | + | 0.170502i | 0.787200 | − | 0.616698i | \(-0.211530\pi\) |
−0.616698 | + | 0.787200i | \(0.711530\pi\) | |||||||
\(108\) | 0.483854 | − | 1.94059i | 0.0465589 | − | 0.186733i | ||||
\(109\) | −2.27144 | + | 3.12637i | −0.217564 | + | 0.299452i | −0.903823 | − | 0.427905i | \(-0.859252\pi\) |
0.686259 | + | 0.727357i | \(0.259252\pi\) | |||||||
\(110\) | −2.24302 | + | 6.18369i | −0.213863 | + | 0.589592i | ||||
\(111\) | −5.28378 | − | 7.27250i | −0.501514 | − | 0.690275i | ||||
\(112\) | −10.3018 | − | 14.7128i | −0.973424 | − | 1.39023i | ||||
\(113\) | −0.815870 | − | 5.15120i | −0.0767506 | − | 0.484584i | −0.995884 | − | 0.0906377i | \(-0.971109\pi\) |
0.919133 | − | 0.393947i | \(-0.128891\pi\) | |||||||
\(114\) | 0.375289 | − | 8.59500i | 0.0351491 | − | 0.804996i | ||||
\(115\) | 9.59253 | + | 3.01295i | 0.894508 | + | 0.280959i | ||||
\(116\) | 1.12756 | − | 2.65632i | 0.104691 | − | 0.246633i | ||||
\(117\) | 1.93505 | + | 0.985959i | 0.178896 | + | 0.0911520i | ||||
\(118\) | −6.80872 | + | 0.775737i | −0.626794 | + | 0.0714124i | ||||
\(119\) | −3.52466 | − | 10.8478i | −0.323105 | − | 0.994416i | ||||
\(120\) | 5.24714 | + | 3.53093i | 0.478996 | + | 0.322329i | ||||
\(121\) | 2.06210 | − | 6.34648i | 0.187463 | − | 0.576953i | ||||
\(122\) | −3.88295 | + | 19.0850i | −0.351545 | + | 1.72788i | ||||
\(123\) | 1.14145 | − | 7.20681i | 0.102921 | − | 0.649816i | ||||
\(124\) | −0.795708 | − | 3.44667i | −0.0714567 | − | 0.309521i | ||||
\(125\) | −4.78002 | + | 10.1070i | −0.427538 | + | 0.903998i | ||||
\(126\) | −3.95305 | + | 4.96964i | −0.352166 | + | 0.442731i | ||||
\(127\) | −1.55836 | − | 0.246821i | −0.138282 | − | 0.0219018i | 0.0869095 | − | 0.996216i | \(-0.472301\pi\) |
−0.225192 | + | 0.974314i | \(0.572301\pi\) | |||||||
\(128\) | 5.22390 | + | 10.0355i | 0.461732 | + | 0.887020i | ||||
\(129\) | −5.64635 | − | 1.83461i | −0.497134 | − | 0.161529i | ||||
\(130\) | −5.01760 | + | 4.68926i | −0.440072 | + | 0.411276i | ||||
\(131\) | −9.13047 | + | 2.96667i | −0.797733 | + | 0.259199i | −0.679394 | − | 0.733774i | \(-0.737757\pi\) |
−0.118339 | + | 0.992973i | \(0.537757\pi\) | |||||||
\(132\) | 3.52808 | + | 2.20461i | 0.307080 | + | 0.191887i | ||||
\(133\) | −12.4010 | + | 24.3384i | −1.07531 | + | 2.11041i | ||||
\(134\) | 2.63153 | + | 9.48909i | 0.227329 | + | 0.819732i | ||||
\(135\) | 0.670058 | − | 2.13331i | 0.0576694 | − | 0.183606i | ||||
\(136\) | 1.30927 | + | 7.06449i | 0.112269 | + | 0.605775i | ||||
\(137\) | 7.72018 | − | 1.22276i | 0.659579 | − | 0.104467i | 0.182333 | − | 0.983237i | \(-0.441635\pi\) |
0.477246 | + | 0.878770i | \(0.341635\pi\) | |||||||
\(138\) | 3.13137 | − | 5.53465i | 0.266560 | − | 0.471140i | ||||
\(139\) | 2.48469 | − | 1.80523i | 0.210748 | − | 0.153118i | −0.477404 | − | 0.878684i | \(-0.658422\pi\) |
0.688152 | + | 0.725566i | \(0.258422\pi\) | |||||||
\(140\) | −10.5109 | − | 17.1102i | −0.888332 | − | 1.44608i | ||||
\(141\) | −1.65475 | − | 1.20225i | −0.139355 | − | 0.101247i | ||||
\(142\) | −11.4713 | + | 5.22776i | −0.962654 | + | 0.438704i | ||||
\(143\) | −3.19438 | + | 3.19438i | −0.267127 | + | 0.267127i | ||||
\(144\) | 2.87739 | − | 2.77860i | 0.239782 | − | 0.231550i | ||||
\(145\) | 1.43642 | − | 2.88895i | 0.119288 | − | 0.239914i | ||||
\(146\) | −1.15693 | + | 0.765748i | −0.0957478 | + | 0.0633737i | ||||
\(147\) | 11.7274 | − | 5.97541i | 0.967260 | − | 0.492843i | ||||
\(148\) | −1.25403 | − | 17.9348i | −0.103080 | − | 1.47423i | ||||
\(149\) | − | 16.9988i | − | 1.39260i | −0.717753 | − | 0.696298i | \(-0.754829\pi\) | ||
0.717753 | − | 0.696298i | \(-0.245171\pi\) | |||||||
\(150\) | 5.61928 | + | 4.29229i | 0.458812 | + | 0.350464i | ||||
\(151\) | 13.8505i | 1.12714i | 0.826070 | + | 0.563568i | \(0.190572\pi\) | ||||
−0.826070 | + | 0.563568i | \(0.809428\pi\) | |||||||
\(152\) | 9.74592 | − | 14.1802i | 0.790499 | − | 1.15016i | ||||
\(153\) | 2.26334 | − | 1.15323i | 0.182980 | − | 0.0932331i | ||||
\(154\) | −7.29052 | − | 11.0148i | −0.587487 | − | 0.887601i | ||||
\(155\) | −0.657019 | − | 3.89990i | −0.0527731 | − | 0.313248i | ||||
\(156\) | 2.23706 | + | 3.72314i | 0.179108 | + | 0.298090i | ||||
\(157\) | −1.80291 | + | 1.80291i | −0.143888 | + | 0.143888i | −0.775381 | − | 0.631494i | \(-0.782442\pi\) |
0.631494 | + | 0.775381i | \(0.282442\pi\) | |||||||
\(158\) | 7.98481 | + | 17.5212i | 0.635237 | + | 1.39391i | ||||
\(159\) | −9.34001 | − | 6.78592i | −0.740711 | − | 0.538158i | ||||
\(160\) | 5.15738 | + | 11.5500i | 0.407726 | + | 0.913104i | ||||
\(161\) | −16.3344 | + | 11.8676i | −1.28733 | + | 0.935300i | ||||
\(162\) | −1.23087 | − | 0.696395i | −0.0967060 | − | 0.0547140i | ||||
\(163\) | 20.4868 | − | 3.24480i | 1.60465 | − | 0.254152i | 0.711093 | − | 0.703098i | \(-0.248200\pi\) |
0.893559 | + | 0.448946i | \(0.148200\pi\) | |||||||
\(164\) | 9.57412 | − | 11.0136i | 0.747613 | − | 0.860021i | ||||
\(165\) | 3.78966 | + | 2.69687i | 0.295024 | + | 0.209951i | ||||
\(166\) | −6.39230 | + | 1.77272i | −0.496138 | + | 0.137590i | ||||
\(167\) | −7.83909 | + | 15.3851i | −0.606607 | + | 1.19053i | 0.359682 | + | 0.933075i | \(0.382885\pi\) |
−0.966289 | + | 0.257459i | \(0.917115\pi\) | |||||||
\(168\) | −11.9718 | + | 4.23932i | −0.923644 | + | 0.327071i | ||||
\(169\) | 7.87803 | − | 2.55973i | 0.606002 | − | 0.196902i | ||||
\(170\) | 0.987683 | + | 7.97188i | 0.0757518 | + | 0.611416i | ||||
\(171\) | −5.78563 | − | 1.87987i | −0.442439 | − | 0.143757i | ||||
\(172\) | −7.63232 | − | 9.09594i | −0.581959 | − | 0.693559i | ||||
\(173\) | −24.0008 | − | 3.80135i | −1.82474 | − | 0.289011i | −0.852457 | − | 0.522798i | \(-0.824888\pi\) |
−0.972288 | + | 0.233787i | \(0.924888\pi\) | |||||||
\(174\) | −1.59692 | − | 1.27026i | −0.121063 | − | 0.0962980i | ||||
\(175\) | −10.5836 | − | 19.7999i | −0.800045 | − | 1.49673i | ||||
\(176\) | 3.64738 | + | 7.47845i | 0.274932 | + | 0.563710i | ||||
\(177\) | −0.758025 | + | 4.78598i | −0.0569767 | + | 0.359737i | ||||
\(178\) | 21.3942 | + | 4.35275i | 1.60356 | + | 0.326253i | ||||
\(179\) | −3.94945 | + | 12.1551i | −0.295195 | + | 0.908518i | 0.687960 | + | 0.725748i | \(0.258506\pi\) |
−0.983156 | + | 0.182770i | \(0.941494\pi\) | |||||||
\(180\) | 3.39747 | − | 2.90813i | 0.253232 | − | 0.216759i | ||||
\(181\) | −3.21626 | − | 9.89864i | −0.239063 | − | 0.735760i | −0.996556 | − | 0.0829173i | \(-0.973576\pi\) |
0.757494 | − | 0.652843i | \(-0.226424\pi\) | |||||||
\(182\) | −1.56114 | − | 13.7023i | −0.115719 | − | 1.01568i | ||||
\(183\) | 12.2706 | + | 6.25219i | 0.907069 | + | 0.462175i | ||||
\(184\) | 11.1770 | − | 6.06848i | 0.823977 | − | 0.447375i | ||||
\(185\) | −0.197464 | − | 20.0997i | −0.0145179 | − | 1.47776i | ||||
\(186\) | −2.49889 | − | 0.109111i | −0.183228 | − | 0.00800039i | ||||
\(187\) | 0.826591 | + | 5.21889i | 0.0604463 | + | 0.381643i | ||||
\(188\) | −1.53241 | − | 3.79290i | −0.111762 | − | 0.276626i | ||||
\(189\) | 2.63928 | + | 3.63265i | 0.191979 | + | 0.264237i | ||||
\(190\) | 11.8271 | − | 15.1722i | 0.858027 | − | 1.10071i | ||||
\(191\) | 1.34116 | − | 1.84595i | 0.0970428 | − | 0.133568i | −0.757734 | − | 0.652563i | \(-0.773694\pi\) |
0.854777 | + | 0.518995i | \(0.173694\pi\) | |||||||
\(192\) | 7.82521 | − | 1.66317i | 0.564736 | − | 0.120029i | ||||
\(193\) | 2.06189 | + | 2.06189i | 0.148418 | + | 0.148418i | 0.777411 | − | 0.628993i | \(-0.216533\pi\) |
−0.628993 | + | 0.777411i | \(0.716533\pi\) | |||||||
\(194\) | −13.9015 | − | 5.19759i | −0.998068 | − | 0.373166i | ||||
\(195\) | 2.24707 | + | 4.30504i | 0.160916 | + | 0.308291i | ||||
\(196\) | 26.2238 | + | 2.29443i | 1.87313 | + | 0.163888i | ||||
\(197\) | 2.02095 | + | 3.96633i | 0.143986 | + | 0.282589i | 0.951725 | − | 0.306951i | \(-0.0993088\pi\) |
−0.807739 | + | 0.589541i | \(0.799309\pi\) | |||||||
\(198\) | 2.16888 | − | 1.98740i | 0.154136 | − | 0.141239i | ||||
\(199\) | −18.6400 | −1.32135 | −0.660676 | − | 0.750671i | \(-0.729730\pi\) | ||||
−0.660676 | + | 0.750671i | \(0.729730\pi\) | |||||||
\(200\) | 4.98163 | + | 13.2357i | 0.352254 | + | 0.935904i | ||||
\(201\) | 6.96303 | 0.491135 | ||||||||
\(202\) | −11.8153 | + | 10.8266i | −0.831319 | + | 0.761760i | ||||
\(203\) | 2.94130 | + | 5.77262i | 0.206439 | + | 0.405159i | ||||
\(204\) | 5.06108 | + | 0.442815i | 0.354346 | + | 0.0310032i | ||||
\(205\) | 11.4231 | − | 11.6498i | 0.797825 | − | 0.813657i | ||||
\(206\) | −24.0639 | − | 8.99722i | −1.67661 | − | 0.626866i | ||||
\(207\) | −3.17954 | − | 3.17954i | −0.220993 | − | 0.220993i | ||||
\(208\) | −0.151705 | + | 8.68572i | −0.0105188 | + | 0.602246i | ||||
\(209\) | 7.43794 | − | 10.2374i | 0.514493 | − | 0.708139i | ||||
\(210\) | −13.6449 | + | 3.92879i | −0.941590 | + | 0.271112i | ||||
\(211\) | −6.16496 | − | 8.48534i | −0.424413 | − | 0.584155i | 0.542246 | − | 0.840220i | \(-0.317574\pi\) |
−0.966660 | + | 0.256065i | \(0.917574\pi\) | |||||||
\(212\) | −8.64947 | − | 21.4085i | −0.594048 | − | 1.47034i | ||||
\(213\) | 1.39447 | + | 8.80432i | 0.0955473 | + | 0.603262i | ||||
\(214\) | 3.52402 | + | 0.153872i | 0.240897 | + | 0.0105184i | ||||
\(215\) | −7.90820 | − | 10.6628i | −0.539335 | − | 0.727199i | ||||
\(216\) | −1.34959 | − | 2.48568i | −0.0918279 | − | 0.169129i | ||||
\(217\) | 7.07609 | + | 3.60545i | 0.480356 | + | 0.244754i | ||||
\(218\) | 0.618651 | + | 5.42996i | 0.0419003 | + | 0.367763i | ||||
\(219\) | 0.303155 | + | 0.933017i | 0.0204853 | + | 0.0630474i | ||||
\(220\) | 3.56933 | + | 8.59059i | 0.240644 | + | 0.579177i | ||||
\(221\) | −1.70476 | + | 5.24671i | −0.114675 | + | 0.352932i | ||||
\(222\) | −12.4576 | − | 2.53456i | −0.836097 | − | 0.170108i | ||||
\(223\) | 2.55430 | − | 16.1272i | 0.171049 | − | 1.07996i | −0.741489 | − | 0.670965i | \(-0.765880\pi\) |
0.912538 | − | 0.408993i | \(-0.134120\pi\) | |||||||
\(224\) | −24.7983 | − | 5.49800i | −1.65691 | − | 0.367351i | ||||
\(225\) | 3.98656 | − | 3.01783i | 0.265771 | − | 0.201189i | ||||
\(226\) | −5.77228 | − | 4.59150i | −0.383966 | − | 0.305422i | ||||
\(227\) | 9.94776 | + | 1.57557i | 0.660256 | + | 0.104574i | 0.477565 | − | 0.878596i | \(-0.341519\pi\) |
0.182691 | + | 0.983170i | \(0.441519\pi\) | |||||||
\(228\) | −7.82059 | − | 9.32032i | −0.517931 | − | 0.617253i | ||||
\(229\) | −14.6534 | − | 4.76117i | −0.968323 | − | 0.314627i | −0.218184 | − | 0.975908i | \(-0.570013\pi\) |
−0.750139 | + | 0.661281i | \(0.770013\pi\) | |||||||
\(230\) | 12.8805 | − | 6.02345i | 0.849315 | − | 0.397174i | ||||
\(231\) | −8.88305 | + | 2.88628i | −0.584462 | + | 0.189903i | ||||
\(232\) | −1.36225 | − | 3.84697i | −0.0894360 | − | 0.252566i | ||||
\(233\) | −2.87986 | + | 5.65205i | −0.188666 | + | 0.370278i | −0.965893 | − | 0.258943i | \(-0.916626\pi\) |
0.777227 | + | 0.629221i | \(0.216626\pi\) | |||||||
\(234\) | 2.95963 | − | 0.820770i | 0.193477 | − | 0.0536554i | ||||
\(235\) | −1.45599 | − | 4.33568i | −0.0949783 | − | 0.282828i | ||||
\(236\) | −6.35809 | + | 7.31407i | −0.413877 | + | 0.476105i | ||||
\(237\) | 13.4476 | − | 2.12989i | 0.873516 | − | 0.138351i | ||||
\(238\) | −14.0393 | − | 7.94312i | −0.910035 | − | 0.514876i | ||||
\(239\) | −0.780902 | + | 0.567359i | −0.0505124 | + | 0.0366994i | −0.612755 | − | 0.790273i | \(-0.709939\pi\) |
0.562243 | + | 0.826972i | \(0.309939\pi\) | |||||||
\(240\) | 8.84459 | − | 1.33166i | 0.570916 | − | 0.0859581i | ||||
\(241\) | 19.0484 | + | 13.8395i | 1.22701 | + | 0.891478i | 0.996663 | − | 0.0816289i | \(-0.0260122\pi\) |
0.230352 | + | 0.973107i | \(0.426012\pi\) | |||||||
\(242\) | −3.91351 | − | 8.58747i | −0.251570 | − | 0.552023i | ||||
\(243\) | −0.707107 | + | 0.707107i | −0.0453609 | + | 0.0453609i | ||||
\(244\) | 14.1857 | + | 23.6093i | 0.908146 | + | 1.51143i | ||||
\(245\) | 29.1125 | + | 4.31825i | 1.85993 | + | 0.275883i | ||||
\(246\) | −5.69542 | − | 8.60490i | −0.363127 | − | 0.548628i | ||||
\(247\) | 11.7717 | − | 5.99796i | 0.749013 | − | 0.381641i | ||||
\(248\) | −4.12270 | − | 2.83351i | −0.261792 | − | 0.179928i | ||||
\(249\) | 4.69063i | 0.297256i | ||||||||
\(250\) | 4.67251 | + | 15.1052i | 0.295515 | + | 0.955338i | ||||
\(251\) | 4.80127i | 0.303053i | 0.988453 | + | 0.151527i | \(0.0484190\pi\) | ||||
−0.988453 | + | 0.151527i | \(0.951581\pi\) | |||||||
\(252\) | 0.626393 | + | 8.95854i | 0.0394591 | + | 0.564335i | ||||
\(253\) | 8.33391 | − | 4.24634i | 0.523949 | − | 0.266965i | ||||
\(254\) | −1.86068 | + | 1.23155i | −0.116749 | + | 0.0772742i | ||||
\(255\) | 5.61860 | + | 0.833404i | 0.351850 | + | 0.0521898i | ||||
\(256\) | 15.0350 | + | 5.47265i | 0.939685 | + | 0.342041i | ||||
\(257\) | −21.3134 | + | 21.3134i | −1.32949 | + | 1.32949i | −0.423684 | + | 0.905810i | \(0.639263\pi\) |
−0.905810 | + | 0.423684i | \(0.860737\pi\) | |||||||
\(258\) | −7.64012 | + | 3.48178i | −0.475653 | + | 0.216766i | ||||
\(259\) | 32.6550 | + | 23.7253i | 2.02908 | + | 1.47422i | ||||
\(260\) | −0.751455 | + | 9.68330i | −0.0466033 | + | 0.600533i | ||||
\(261\) | −1.16730 | + | 0.848095i | −0.0722542 | + | 0.0524958i | ||||
\(262\) | −6.68564 | + | 11.8167i | −0.413040 | + | 0.730041i | ||||
\(263\) | −18.2989 | + | 2.89826i | −1.12836 | + | 0.178714i | −0.692581 | − | 0.721340i | \(-0.743526\pi\) |
−0.435777 | + | 0.900055i | \(0.643526\pi\) | |||||||
\(264\) | 5.78497 | − | 1.07213i | 0.356040 | − | 0.0659851i | ||||
\(265\) | −8.21813 | − | 24.4721i | −0.504835 | − | 1.50331i | ||||
\(266\) | 10.3234 | + | 37.2252i | 0.632965 | + | 2.28242i | ||||
\(267\) | 7.00865 | − | 13.7553i | 0.428923 | − | 0.841808i | ||||
\(268\) | 11.8099 | + | 7.37976i | 0.721407 | + | 0.450790i | ||||
\(269\) | 23.2869 | − | 7.56638i | 1.41983 | − | 0.461330i | 0.504281 | − | 0.863540i | \(-0.331758\pi\) |
0.915548 | + | 0.402209i | \(0.131758\pi\) | |||||||
\(270\) | −1.33957 | − | 2.86453i | −0.0815238 | − | 0.174330i | ||||
\(271\) | 11.5568 | + | 3.75503i | 0.702026 | + | 0.228102i | 0.638213 | − | 0.769860i | \(-0.279674\pi\) |
0.0638128 | + | 0.997962i | \(0.479674\pi\) | |||||||
\(272\) | 8.11473 | + | 6.11502i | 0.492028 | + | 0.370778i | ||||
\(273\) | −9.63160 | − | 1.52550i | −0.582931 | − | 0.0923272i | ||||
\(274\) | 6.88135 | − | 8.65099i | 0.415717 | − | 0.522625i | ||||
\(275\) | 3.40768 | + | 9.82653i | 0.205491 | + | 0.592562i | ||||
\(276\) | −2.02296 | − | 8.76261i | −0.121768 | − | 0.527447i | ||||
\(277\) | −1.14142 | + | 7.20665i | −0.0685813 | + | 0.433005i | 0.929377 | + | 0.369133i | \(0.120345\pi\) |
−0.997958 | + | 0.0638728i | \(0.979655\pi\) | |||||||
\(278\) | 0.865944 | − | 4.25619i | 0.0519359 | − | 0.255270i | ||||
\(279\) | −0.546548 | + | 1.68210i | −0.0327210 | + | 0.100705i | ||||
\(280\) | −27.3070 | − | 7.79797i | −1.63190 | − | 0.466018i | ||||
\(281\) | 3.36566 | + | 10.3584i | 0.200779 | + | 0.617933i | 0.999860 | + | 0.0167105i | \(0.00531937\pi\) |
−0.799082 | + | 0.601222i | \(0.794681\pi\) | |||||||
\(282\) | −2.87402 | + | 0.327445i | −0.171145 | + | 0.0194991i | ||||
\(283\) | 3.85499 | + | 1.96422i | 0.229156 | + | 0.116761i | 0.564799 | − | 0.825229i | \(-0.308954\pi\) |
−0.335643 | + | 0.941989i | \(0.608954\pi\) | |||||||
\(284\) | −6.96610 | + | 16.4108i | −0.413362 | + | 0.973805i | ||||
\(285\) | −8.10327 | − | 10.9259i | −0.479997 | − | 0.647192i | ||||
\(286\) | −0.278691 | + | 6.38268i | −0.0164794 | + | 0.377416i | ||||
\(287\) | 5.12533 | + | 32.3601i | 0.302539 | + | 1.91016i | ||||
\(288\) | 0.345420 | − | 5.64630i | 0.0203541 | − | 0.332711i | ||||
\(289\) | −6.19958 | − | 8.53299i | −0.364681 | − | 0.501941i | ||||
\(290\) | −1.26246 | − | 4.38461i | −0.0741343 | − | 0.257473i | ||||
\(291\) | −6.16847 | + | 8.49017i | −0.361602 | + | 0.497703i | ||||
\(292\) | −0.474676 | + | 1.90378i | −0.0277783 | + | 0.111410i | ||||
\(293\) | −11.6800 | − | 11.6800i | −0.682355 | − | 0.682355i | 0.278176 | − | 0.960530i | \(-0.410270\pi\) |
−0.960530 | + | 0.278176i | \(0.910270\pi\) | |||||||
\(294\) | 6.51875 | − | 17.4350i | 0.380181 | − | 1.01683i | ||||
\(295\) | −7.58600 | + | 7.73653i | −0.441674 | + | 0.450438i | ||||
\(296\) | −18.4429 | − | 17.5020i | −1.07197 | − | 1.01728i | ||||
\(297\) | −0.944357 | − | 1.85340i | −0.0547971 | − | 0.107545i | ||||
\(298\) | −16.2411 | − | 17.7241i | −0.940821 | − | 1.02673i | ||||
\(299\) | 9.76542 | 0.564749 | ||||||||
\(300\) | 9.96002 | − | 0.893363i | 0.575042 | − | 0.0515783i | ||||
\(301\) | 26.6580 | 1.53654 | ||||||||
\(302\) | 13.2331 | + | 14.4415i | 0.761479 | + | 0.831013i | ||||
\(303\) | 5.14450 | + | 10.0967i | 0.295544 | + | 0.580038i | ||||
\(304\) | −3.38631 | − | 24.0967i | −0.194218 | − | 1.38204i | ||||
\(305\) | 14.2492 | + | 27.2992i | 0.815906 | + | 1.56315i | ||||
\(306\) | 1.25809 | − | 3.36489i | 0.0719203 | − | 0.192358i | ||||
\(307\) | −7.80956 | − | 7.80956i | −0.445715 | − | 0.445715i | 0.448212 | − | 0.893927i | \(-0.352061\pi\) |
−0.893927 | + | 0.448212i | \(0.852061\pi\) | |||||||
\(308\) | −18.1255 | − | 4.51929i | −1.03279 | − | 0.257511i | ||||
\(309\) | −10.6778 | + | 14.6968i | −0.607441 | + | 0.836071i | ||||
\(310\) | −4.41112 | − | 3.43858i | −0.250535 | − | 0.195298i | ||||
\(311\) | −2.70660 | − | 3.72531i | −0.153477 | − | 0.211243i | 0.725354 | − | 0.688376i | \(-0.241676\pi\) |
−0.878831 | + | 0.477133i | \(0.841676\pi\) | |||||||
\(312\) | 5.88970 | + | 1.74466i | 0.333439 | + | 0.0987720i | ||||
\(313\) | −2.19947 | − | 13.8869i | −0.124321 | − | 0.784933i | −0.968526 | − | 0.248912i | \(-0.919927\pi\) |
0.844205 | − | 0.536021i | \(-0.180073\pi\) | |||||||
\(314\) | −0.157293 | + | 3.60238i | −0.00887657 | + | 0.203294i | ||||
\(315\) | 0.0986345 | + | 10.0399i | 0.00555743 | + | 0.565686i | ||||
\(316\) | 25.0657 | + | 10.6399i | 1.41006 | + | 0.598543i | ||||
\(317\) | −4.05926 | − | 2.06830i | −0.227991 | − | 0.116167i | 0.336264 | − | 0.941768i | \(-0.390837\pi\) |
−0.564255 | + | 0.825601i | \(0.690837\pi\) | |||||||
\(318\) | −16.2220 | + | 1.84822i | −0.909684 | + | 0.103643i | ||||
\(319\) | −0.927465 | − | 2.85444i | −0.0519281 | − | 0.159818i | ||||
\(320\) | 16.4126 | + | 7.11530i | 0.917491 | + | 0.397758i | ||||
\(321\) | 0.770759 | − | 2.37215i | 0.0430196 | − | 0.132401i | ||||
\(322\) | −5.69274 | + | 27.9803i | −0.317244 | + | 1.55928i | ||||
\(323\) | 2.41739 | − | 15.2628i | 0.134507 | − | 0.849244i | ||||
\(324\) | −1.94874 | + | 0.449891i | −0.108263 | + | 0.0249940i | ||||
\(325\) | −1.48765 | + | 10.7564i | −0.0825201 | + | 0.596659i | ||||
\(326\) | 18.2608 | − | 22.9569i | 1.01137 | − | 1.27147i | ||||
\(327\) | 3.81683 | + | 0.604526i | 0.211071 | + | 0.0334304i | ||||
\(328\) | −0.540072 | − | 20.6310i | −0.0298205 | − | 1.13915i | ||||
\(329\) | 8.73470 | + | 2.83808i | 0.481559 | + | 0.156468i | ||||
\(330\) | 6.52802 | − | 0.808794i | 0.359356 | − | 0.0445226i | ||||
\(331\) | −24.1401 | + | 7.84361i | −1.32686 | + | 0.431124i | −0.884846 | − | 0.465883i | \(-0.845737\pi\) |
−0.442016 | + | 0.897007i | \(0.645737\pi\) | |||||||
\(332\) | −4.97135 | + | 7.95573i | −0.272838 | + | 0.436627i | ||||
\(333\) | −4.08106 | + | 8.00952i | −0.223641 | + | 0.438919i | ||||
\(334\) | 6.52572 | + | 23.5312i | 0.357072 | + | 1.28757i | ||||
\(335\) | 12.6855 | + | 9.02753i | 0.693085 | + | 0.493226i | ||||
\(336\) | −8.43227 | + | 15.8584i | −0.460018 | + | 0.865146i | ||||
\(337\) | 2.81142 | − | 0.445285i | 0.153148 | − | 0.0242562i | −0.0793897 | − | 0.996844i | \(-0.525297\pi\) |
0.232537 | + | 0.972587i | \(0.425297\pi\) | |||||||
\(338\) | 5.76856 | − | 10.1958i | 0.313768 | − | 0.554580i | ||||
\(339\) | −4.21936 | + | 3.06554i | −0.229164 | + | 0.166497i | ||||
\(340\) | 8.64637 | + | 7.36839i | 0.468915 | + | 0.399607i | ||||
\(341\) | −2.97641 | − | 2.16249i | −0.161182 | − | 0.117105i | ||||
\(342\) | −7.82858 | + | 3.56766i | −0.423321 | + | 0.192917i | ||||
\(343\) | −19.5646 | + | 19.5646i | −1.05639 | + | 1.05639i | ||||
\(344\) | −16.6485 | − | 2.19195i | −0.897626 | − | 0.118182i | ||||
\(345\) | −1.67036 | − | 9.91486i | −0.0899294 | − | 0.533798i | ||||
\(346\) | −28.6568 | + | 18.9674i | −1.54060 | + | 1.01969i | ||||
\(347\) | 6.72865 | − | 3.42842i | 0.361213 | − | 0.184047i | −0.263960 | − | 0.964534i | \(-0.585029\pi\) |
0.625173 | + | 0.780487i | \(0.285029\pi\) | |||||||
\(348\) | −2.87870 | + | 0.201283i | −0.154315 | + | 0.0107899i | ||||
\(349\) | 0.864340i | 0.0462670i | 0.999732 | + | 0.0231335i | \(0.00736428\pi\) | ||||
−0.999732 | + | 0.0231335i | \(0.992636\pi\) | |||||||
\(350\) | −29.9526 | − | 10.5329i | −1.60103 | − | 0.563009i | ||||
\(351\) | − | 2.17176i | − | 0.115920i | ||||||
\(352\) | 10.9481 | + | 4.31275i | 0.583537 | + | 0.229871i | ||||
\(353\) | −0.498575 | + | 0.254037i | −0.0265365 | + | 0.0135210i | −0.467208 | − | 0.884147i | \(-0.654740\pi\) |
0.440672 | + | 0.897668i | \(0.354740\pi\) | |||||||
\(354\) | 3.78228 | + | 5.71444i | 0.201026 | + | 0.303719i | ||||
\(355\) | −8.87424 | + | 17.8480i | −0.470996 | + | 0.947273i | ||||
\(356\) | 26.4658 | − | 15.9021i | 1.40268 | − | 0.842807i | ||||
\(357\) | −8.06530 | + | 8.06530i | −0.426861 | + | 0.426861i | ||||
\(358\) | 7.49537 | + | 16.4472i | 0.396143 | + | 0.869262i | ||||
\(359\) | −8.80968 | − | 6.40061i | −0.464957 | − | 0.337811i | 0.330516 | − | 0.943801i | \(-0.392777\pi\) |
−0.795473 | + | 0.605989i | \(0.792777\pi\) | |||||||
\(360\) | 0.763932 | − | 6.27825i | 0.0402628 | − | 0.330893i | ||||
\(361\) | −14.5683 | + | 10.5845i | −0.766755 | + | 0.557080i | ||||
\(362\) | −12.8109 | − | 7.24811i | −0.673327 | − | 0.380952i | ||||
\(363\) | −6.59093 | + | 1.04390i | −0.345934 | + | 0.0547906i | ||||
\(364\) | −14.7193 | − | 12.7954i | −0.771500 | − | 0.670662i | ||||
\(365\) | −0.657348 | + | 2.09285i | −0.0344072 | + | 0.109545i | ||||
\(366\) | 18.7677 | − | 5.20469i | 0.981003 | − | 0.272053i | ||||
\(367\) | −2.00355 | + | 3.93219i | −0.104585 | + | 0.205259i | −0.937368 | − | 0.348339i | \(-0.886746\pi\) |
0.832784 | + | 0.553598i | \(0.186746\pi\) | |||||||
\(368\) | 5.85591 | − | 17.0062i | 0.305260 | − | 0.886509i | ||||
\(369\) | −6.93952 | + | 2.25479i | −0.361257 | + | 0.117380i | ||||
\(370\) | −19.4097 | − | 20.7687i | −1.00906 | − | 1.07971i | ||||
\(371\) | 49.3018 | + | 16.0191i | 2.55962 | + | 0.831671i | ||||
\(372\) | −2.70977 | + | 2.27374i | −0.140495 | + | 0.117888i | ||||
\(373\) | 30.4365 | + | 4.82066i | 1.57594 | + | 0.249604i | 0.882290 | − | 0.470707i | \(-0.156001\pi\) |
0.693651 | + | 0.720311i | \(0.256001\pi\) | |||||||
\(374\) | 5.84812 | + | 4.65183i | 0.302399 | + | 0.240541i | ||||
\(375\) | 11.1755 | − | 0.329456i | 0.577100 | − | 0.0170131i | ||||
\(376\) | −5.22164 | − | 2.49065i | −0.269285 | − | 0.128445i | ||||
\(377\) | 0.490197 | − | 3.09498i | 0.0252464 | − | 0.159400i | ||||
\(378\) | 6.22263 | + | 1.26603i | 0.320058 | + | 0.0651174i | ||||
\(379\) | 5.63128 | − | 17.3313i | 0.289259 | − | 0.890248i | −0.695830 | − | 0.718206i | \(-0.744963\pi\) |
0.985090 | − | 0.172042i | \(-0.0550365\pi\) | |||||||
\(380\) | −2.16414 | − | 27.1195i | −0.111018 | − | 1.39120i | ||||
\(381\) | 0.487564 | + | 1.50057i | 0.0249786 | + | 0.0768763i | ||||
\(382\) | −0.365279 | − | 3.20609i | −0.0186893 | − | 0.164038i | ||||
\(383\) | −25.7096 | − | 13.0997i | −1.31370 | − | 0.669364i | −0.350101 | − | 0.936712i | \(-0.613853\pi\) |
−0.963600 | + | 0.267348i | \(0.913853\pi\) | |||||||
\(384\) | 6.57008 | − | 9.21054i | 0.335278 | − | 0.470023i | ||||
\(385\) | −19.9255 | − | 6.25847i | −1.01550 | − | 0.318961i | ||||
\(386\) | 4.11986 | + | 0.179888i | 0.209695 | + | 0.00915607i | ||||
\(387\) | 0.928740 | + | 5.86383i | 0.0472105 | + | 0.298075i | ||||
\(388\) | −19.4606 | + | 7.86246i | −0.987961 | + | 0.399156i | ||||
\(389\) | −7.36949 | − | 10.1432i | −0.373648 | − | 0.514282i | 0.580240 | − | 0.814446i | \(-0.302959\pi\) |
−0.953888 | + | 0.300163i | \(0.902959\pi\) | |||||||
\(390\) | 6.45611 | + | 2.34183i | 0.326918 | + | 0.118583i | ||||
\(391\) | 6.71377 | − | 9.24071i | 0.339530 | − | 0.467323i | ||||
\(392\) | 29.5349 | − | 22.6625i | 1.49174 | − | 1.14463i | ||||
\(393\) | 6.78847 | + | 6.78847i | 0.342433 | + | 0.342433i | ||||
\(394\) | 5.89672 | + | 2.20471i | 0.297072 | + | 0.111072i | ||||
\(395\) | 27.2608 | + | 13.5544i | 1.37164 | + | 0.681996i | ||||
\(396\) | 0.362612 | − | 4.14442i | 0.0182219 | − | 0.208265i | ||||
\(397\) | −0.707656 | − | 1.38885i | −0.0355163 | − | 0.0697046i | 0.872566 | − | 0.488495i | \(-0.162454\pi\) |
−0.908083 | + | 0.418791i | \(0.862454\pi\) | |||||||
\(398\) | −19.4353 | + | 17.8091i | −0.974206 | + | 0.892690i | ||||
\(399\) | 27.3156 | 1.36749 | ||||||||
\(400\) | 17.8399 | + | 9.04088i | 0.891996 | + | 0.452044i | ||||
\(401\) | 32.2568 | 1.61083 | 0.805415 | − | 0.592712i | \(-0.201943\pi\) | ||||
0.805415 | + | 0.592712i | \(0.201943\pi\) | |||||||
\(402\) | 7.26015 | − | 6.65266i | 0.362103 | − | 0.331805i | ||||
\(403\) | −1.74383 | − | 3.42246i | −0.0868665 | − | 0.170485i | ||||
\(404\) | −1.97538 | + | 22.5772i | −0.0982786 | + | 1.12326i | ||||
\(405\) | −2.20500 | + | 0.371477i | −0.109567 | + | 0.0184589i | ||||
\(406\) | 8.58212 | + | 3.20875i | 0.425923 | + | 0.159248i | ||||
\(407\) | −13.2221 | − | 13.2221i | −0.655395 | − | 0.655395i | ||||
\(408\) | 5.70011 | − | 4.37377i | 0.282198 | − | 0.216534i | ||||
\(409\) | 13.1897 | − | 18.1540i | 0.652187 | − | 0.897659i | −0.347004 | − | 0.937864i | \(-0.612801\pi\) |
0.999191 | + | 0.0402050i | \(0.0128011\pi\) | |||||||
\(410\) | 0.780031 | − | 23.0608i | 0.0385230 | − | 1.13889i | ||||
\(411\) | −4.59437 | − | 6.32361i | −0.226624 | − | 0.311921i | ||||
\(412\) | −33.6869 | + | 13.6102i | −1.65964 | + | 0.670526i | ||||
\(413\) | −3.40369 | − | 21.4901i | −0.167485 | − | 1.05746i | ||||
\(414\) | −6.35302 | − | 0.277396i | −0.312234 | − | 0.0136333i | ||||
\(415\) | −6.08137 | + | 8.54558i | −0.298523 | + | 0.419486i | ||||
\(416\) | 8.14039 | + | 9.20129i | 0.399115 | + | 0.451130i | ||||
\(417\) | −2.73650 | − | 1.39431i | −0.134007 | − | 0.0682799i | ||||
\(418\) | −2.02580 | − | 17.7807i | −0.0990853 | − | 0.869681i | ||||
\(419\) | −7.45146 | − | 22.9332i | −0.364028 | − | 1.12036i | −0.950588 | − | 0.310456i | \(-0.899518\pi\) |
0.586560 | − | 0.809906i | \(-0.300482\pi\) | |||||||
\(420\) | −10.4735 | + | 17.1332i | −0.511055 | + | 0.836013i | ||||
\(421\) | 4.41337 | − | 13.5829i | 0.215094 | − | 0.661992i | −0.784053 | − | 0.620694i | \(-0.786851\pi\) |
0.999147 | − | 0.0412979i | \(-0.0131493\pi\) | |||||||
\(422\) | −14.5351 | − | 2.95725i | −0.707559 | − | 0.143957i | ||||
\(423\) | −0.319969 | + | 2.02020i | −0.0155574 | + | 0.0982256i | ||||
\(424\) | −29.4728 | − | 14.0581i | −1.43133 | − | 0.682722i | ||||
\(425\) | 9.15570 | + | 8.80280i | 0.444116 | + | 0.426999i | ||||
\(426\) | 9.86585 | + | 7.84769i | 0.478002 | + | 0.380222i | ||||
\(427\) | −61.0761 | − | 9.67351i | −2.95568 | − | 0.468134i | ||||
\(428\) | 3.82140 | − | 3.20650i | 0.184714 | − | 0.154992i | ||||
\(429\) | 4.29643 | + | 1.39599i | 0.207434 | + | 0.0673993i | ||||
\(430\) | −18.4332 | − | 3.56212i | −0.888927 | − | 0.171780i | ||||
\(431\) | 25.9632 | − | 8.43597i | 1.25060 | − | 0.406346i | 0.392467 | − | 0.919766i | \(-0.371622\pi\) |
0.858138 | + | 0.513420i | \(0.171622\pi\) | |||||||
\(432\) | −3.78206 | − | 1.30231i | −0.181964 | − | 0.0626576i | ||||
\(433\) | 14.2105 | − | 27.8897i | 0.682913 | − | 1.34029i | −0.245738 | − | 0.969336i | \(-0.579030\pi\) |
0.928651 | − | 0.370956i | \(-0.120970\pi\) | |||||||
\(434\) | 10.8228 | − | 3.00139i | 0.519509 | − | 0.144071i | ||||
\(435\) | −3.22619 | + | 0.0316948i | −0.154684 | + | 0.00151965i | ||||
\(436\) | 5.83298 | + | 5.07058i | 0.279349 | + | 0.242837i | ||||
\(437\) | −27.0174 | + | 4.27913i | −1.29242 | + | 0.204699i | ||||
\(438\) | 1.20752 | + | 0.683186i | 0.0576975 | + | 0.0326439i | ||||
\(439\) | −20.9443 | + | 15.2169i | −0.999616 | + | 0.726263i | −0.962006 | − | 0.273029i | \(-0.911974\pi\) |
−0.0376099 | + | 0.999292i | \(0.511974\pi\) | |||||||
\(440\) | 11.9293 | + | 5.54692i | 0.568707 | + | 0.264439i | ||||
\(441\) | −10.6483 | − | 7.73641i | −0.507060 | − | 0.368401i | ||||
\(442\) | 3.23534 | + | 7.09937i | 0.153890 | + | 0.337682i | ||||
\(443\) | 15.0847 | − | 15.0847i | 0.716694 | − | 0.716694i | −0.251233 | − | 0.967927i | \(-0.580836\pi\) |
0.967927 | + | 0.251233i | \(0.0808360\pi\) | |||||||
\(444\) | −15.4107 | + | 9.25958i | −0.731360 | + | 0.439440i | ||||
\(445\) | 30.6023 | − | 15.9732i | 1.45069 | − | 0.757204i | ||||
\(446\) | −12.7451 | − | 19.2558i | −0.603496 | − | 0.911789i | ||||
\(447\) | −15.1460 | + | 7.71729i | −0.716383 | + | 0.365015i | ||||
\(448\) | −31.1094 | + | 17.9603i | −1.46978 | + | 0.848546i | ||||
\(449\) | 4.78357i | 0.225750i | 0.993609 | + | 0.112875i | \(0.0360060\pi\) | ||||
−0.993609 | + | 0.112875i | \(0.963994\pi\) | |||||||
\(450\) | 1.27336 | − | 6.95547i | 0.0600267 | − | 0.327884i | ||||
\(451\) | − | 15.1779i | − | 0.714701i | ||||||
\(452\) | −10.4054 | + | 0.727561i | −0.489430 | + | 0.0342216i | ||||
\(453\) | 12.3409 | − | 6.28798i | 0.579824 | − | 0.295435i | ||||
\(454\) | 11.8776 | − | 7.86155i | 0.557442 | − | 0.368961i | ||||
\(455\) | −15.5695 | − | 15.2665i | −0.729907 | − | 0.715705i | ||||
\(456\) | −17.0592 | − | 2.24602i | −0.798869 | − | 0.105180i | ||||
\(457\) | 4.80645 | − | 4.80645i | 0.224836 | − | 0.224836i | −0.585695 | − | 0.810531i | \(-0.699178\pi\) |
0.810531 | + | 0.585695i | \(0.199178\pi\) | |||||||
\(458\) | −19.8276 | + | 9.03589i | −0.926482 | + | 0.422219i | ||||
\(459\) | −2.05507 | − | 1.49310i | −0.0959224 | − | 0.0696917i | ||||
\(460\) | 7.67515 | − | 18.5868i | 0.357856 | − | 0.866615i | ||||
\(461\) | −0.725727 | + | 0.527271i | −0.0338005 | + | 0.0245575i | −0.604557 | − | 0.796562i | \(-0.706650\pi\) |
0.570757 | + | 0.821119i | \(0.306650\pi\) | |||||||
\(462\) | −6.50447 | + | 11.4965i | −0.302615 | + | 0.534867i | ||||
\(463\) | 29.7408 | − | 4.71048i | 1.38217 | − | 0.218914i | 0.579323 | − | 0.815098i | \(-0.303317\pi\) |
0.802848 | + | 0.596184i | \(0.203317\pi\) | |||||||
\(464\) | −5.09587 | − | 2.70959i | −0.236570 | − | 0.125790i | ||||
\(465\) | −3.17656 | + | 2.35593i | −0.147309 | + | 0.109253i | ||||
\(466\) | 2.39737 | + | 8.64471i | 0.111056 | + | 0.400459i | ||||
\(467\) | 7.71551 | − | 15.1425i | 0.357031 | − | 0.700713i | −0.640717 | − | 0.767777i | \(-0.721363\pi\) |
0.997749 | + | 0.0670634i | \(0.0213630\pi\) | |||||||
\(468\) | 2.30174 | − | 3.68350i | 0.106398 | − | 0.170270i | ||||
\(469\) | −29.7352 | + | 9.66156i | −1.37305 | + | 0.446130i | ||||
\(470\) | −5.66053 | − | 3.12959i | −0.261101 | − | 0.144357i | ||||
\(471\) | 2.42490 | + | 0.787899i | 0.111734 | + | 0.0363045i | ||||
\(472\) | 0.358657 | + | 13.7009i | 0.0165085 | + | 0.630633i | ||||
\(473\) | −12.1975 | − | 1.93189i | −0.560842 | − | 0.0888286i | ||||
\(474\) | 11.9865 | − | 15.0690i | 0.550557 | − | 0.692141i | ||||
\(475\) | −0.597587 | − | 30.4110i | −0.0274192 | − | 1.39535i | ||||
\(476\) | −22.2275 | + | 5.13149i | −1.01879 | + | 0.235201i | ||||
\(477\) | −1.80602 | + | 11.4028i | −0.0826919 | + | 0.522096i | ||||
\(478\) | −0.272154 | + | 1.33766i | −0.0124480 | + | 0.0611832i | ||||
\(479\) | 6.57174 | − | 20.2257i | 0.300270 | − | 0.924137i | −0.681130 | − | 0.732163i | \(-0.738511\pi\) |
0.981400 | − | 0.191974i | \(-0.0614890\pi\) | |||||||
\(480\) | 7.94969 | − | 9.83883i | 0.362852 | − | 0.449079i | ||||
\(481\) | −6.03282 | − | 18.5671i | −0.275073 | − | 0.846587i | ||||
\(482\) | 33.0838 | − | 3.76933i | 1.50692 | − | 0.171688i | ||||
\(483\) | 17.9898 | + | 9.16626i | 0.818564 | + | 0.417079i | ||||
\(484\) | −12.2852 | − | 5.21483i | −0.558417 | − | 0.237038i | ||||
\(485\) | −22.2454 | + | 7.47037i | −1.01011 | + | 0.339212i | ||||
\(486\) | −0.0616910 | + | 1.41287i | −0.00279836 | + | 0.0640890i | ||||
\(487\) | 0.734244 | + | 4.63584i | 0.0332718 | + | 0.210070i | 0.998723 | − | 0.0505125i | \(-0.0160855\pi\) |
−0.965452 | + | 0.260582i | \(0.916085\pi\) | |||||||
\(488\) | 37.3479 | + | 11.0633i | 1.69066 | + | 0.500811i | ||||
\(489\) | −12.1920 | − | 16.7808i | −0.551339 | − | 0.758854i | ||||
\(490\) | 34.4805 | − | 23.3124i | 1.55767 | − | 1.05315i | ||||
\(491\) | −12.0866 | + | 16.6358i | −0.545460 | + | 0.750762i | −0.989387 | − | 0.145301i | \(-0.953585\pi\) |
0.443927 | + | 0.896063i | \(0.353585\pi\) | |||||||
\(492\) | −14.1598 | − | 3.53051i | −0.638373 | − | 0.159168i | ||||
\(493\) | −2.59167 | − | 2.59167i | −0.116723 | − | 0.116723i | ||||
\(494\) | 6.54335 | − | 17.5008i | 0.294399 | − | 0.787400i | ||||
\(495\) | 0.682458 | − | 4.60096i | 0.0306742 | − | 0.206798i | ||||
\(496\) | −7.00582 | + | 0.984526i | −0.314571 | + | 0.0442065i | ||||
\(497\) | −18.1714 | − | 35.6635i | −0.815100 | − | 1.59972i | ||||
\(498\) | 4.48155 | + | 4.89078i | 0.200823 | + | 0.219161i | ||||
\(499\) | 23.3972 | 1.04740 | 0.523702 | − | 0.851901i | \(-0.324550\pi\) | ||||
0.523702 | + | 0.851901i | \(0.324550\pi\) | |||||||
\(500\) | 19.3038 | + | 11.2855i | 0.863292 | + | 0.504704i | ||||
\(501\) | 17.2671 | 0.771436 | ||||||||
\(502\) | 4.58726 | + | 5.00614i | 0.204739 | + | 0.223435i | ||||
\(503\) | 6.50796 | + | 12.7726i | 0.290176 | + | 0.569502i | 0.989368 | − | 0.145432i | \(-0.0464570\pi\) |
−0.699193 | + | 0.714933i | \(0.746457\pi\) | |||||||
\(504\) | 9.21235 | + | 8.74233i | 0.410351 | + | 0.389415i | ||||
\(505\) | −3.71778 | + | 25.0643i | −0.165439 | + | 1.11535i | ||||
\(506\) | 4.63246 | − | 12.3900i | 0.205938 | − | 0.550801i | ||||
\(507\) | −5.85728 | − | 5.85728i | −0.260131 | − | 0.260131i | ||||
\(508\) | −0.763420 | + | 3.06184i | −0.0338713 | + | 0.135847i | ||||
\(509\) | −16.0722 | + | 22.1215i | −0.712388 | + | 0.980517i | 0.287355 | + | 0.957824i | \(0.407224\pi\) |
−0.999742 | + | 0.0226933i | \(0.992776\pi\) | |||||||
\(510\) | 6.65460 | − | 4.49919i | 0.294671 | − | 0.199228i | ||||
\(511\) | −2.58922 | − | 3.56375i | −0.114540 | − | 0.157651i | ||||
\(512\) | 20.9052 | − | 8.65862i | 0.923889 | − | 0.382661i | ||||
\(513\) | 0.951650 | + | 6.00848i | 0.0420164 | + | 0.265281i | ||||
\(514\) | −1.85947 | + | 42.5862i | −0.0820178 | + | 1.87840i | ||||
\(515\) | −38.5076 | + | 12.9315i | −1.69685 | + | 0.569828i | ||||
\(516\) | −4.63954 | + | 10.9299i | −0.204245 | + | 0.481163i | ||||
\(517\) | −3.79092 | − | 1.93157i | −0.166725 | − | 0.0849505i | ||||
\(518\) | 56.7161 | − | 6.46183i | 2.49196 | − | 0.283917i | ||||
\(519\) | 7.50909 | + | 23.1106i | 0.329613 | + | 1.01444i | ||||
\(520\) | 8.46816 | + | 10.8144i | 0.371353 | + | 0.474245i | ||||
\(521\) | −8.57371 | + | 26.3872i | −0.375621 | + | 1.15604i | 0.567437 | + | 0.823417i | \(0.307935\pi\) |
−0.943059 | + | 0.332627i | \(0.892065\pi\) | |||||||
\(522\) | −0.406820 | + | 1.99956i | −0.0178060 | + | 0.0875181i | ||||
\(523\) | −2.86352 | + | 18.0796i | −0.125213 | + | 0.790565i | 0.842534 | + | 0.538643i | \(0.181063\pi\) |
−0.967747 | + | 0.251922i | \(0.918937\pi\) | |||||||
\(524\) | 4.31911 | + | 18.7086i | 0.188681 | + | 0.817289i | ||||
\(525\) | −12.8370 | + | 18.4190i | −0.560253 | + | 0.803872i | ||||
\(526\) | −16.3106 | + | 20.5052i | −0.711177 | + | 0.894068i | ||||
\(527\) | −4.43746 | − | 0.702825i | −0.193299 | − | 0.0306155i | ||||
\(528\) | 5.00747 | − | 6.64499i | 0.217922 | − | 0.289186i | ||||
\(529\) | 2.64498 | + | 0.859405i | 0.114999 | + | 0.0373654i | ||||
\(530\) | −31.9501 | − | 17.6645i | −1.38782 | − | 0.767299i | ||||
\(531\) | 4.60848 | − | 1.49739i | 0.199991 | − | 0.0649810i | ||||
\(532\) | 46.3298 | + | 28.9504i | 2.00865 | + | 1.25516i | ||||
\(533\) | 7.19419 | − | 14.1194i | 0.311615 | − | 0.611579i | ||||
\(534\) | −5.83442 | − | 21.0384i | −0.252480 | − | 0.910423i | ||||
\(535\) | 4.47968 | − | 3.32240i | 0.193674 | − | 0.143640i | ||||
\(536\) | 19.3647 | − | 3.58887i | 0.836427 | − | 0.155015i | ||||
\(537\) | 12.6233 | − | 1.99934i | 0.544737 | − | 0.0862778i | ||||
\(538\) | 17.0515 | − | 30.1382i | 0.735141 | − | 1.29935i | ||||
\(539\) | 22.1497 | − | 16.0927i | 0.954055 | − | 0.693162i | ||||
\(540\) | −4.13358 | − | 1.70690i | −0.177881 | − | 0.0734533i | ||||
\(541\) | −2.99298 | − | 2.17453i | −0.128678 | − | 0.0934902i | 0.521584 | − | 0.853200i | \(-0.325341\pi\) |
−0.650263 | + | 0.759709i | \(0.725341\pi\) | |||||||
\(542\) | 15.6376 | − | 7.12641i | 0.671692 | − | 0.306105i | ||||
\(543\) | −7.35960 | + | 7.35960i | −0.315831 | + | 0.315831i | ||||
\(544\) | 14.3034 | − | 1.37707i | 0.613255 | − | 0.0590413i | ||||
\(545\) | 6.16989 | + | 6.04984i | 0.264289 | + | 0.259147i | ||||
\(546\) | −11.5001 | + | 7.61169i | −0.492158 | + | 0.325750i | ||||
\(547\) | 36.8218 | − | 18.7616i | 1.57439 | − | 0.802190i | 0.574519 | − | 0.818492i | \(-0.305189\pi\) |
0.999867 | + | 0.0163019i | \(0.00518929\pi\) | |||||||
\(548\) | −1.09041 | − | 15.5947i | −0.0465798 | − | 0.666174i | ||||
\(549\) | − | 13.7716i | − | 0.587759i | ||||||
\(550\) | 12.9416 | + | 6.99004i | 0.551832 | + | 0.298056i | ||||
\(551\) | 8.77749i | 0.373934i | ||||||||
\(552\) | −10.4813 | − | 7.20372i | −0.446114 | − | 0.306611i | ||||
\(553\) | −54.4719 | + | 27.7548i | −2.31638 | + | 1.18026i | ||||
\(554\) | 5.69529 | + | 8.60470i | 0.241970 | + | 0.365579i | ||||
\(555\) | −17.8193 | + | 9.30102i | −0.756388 | + | 0.394806i | ||||
\(556\) | −3.16358 | − | 5.26515i | −0.134166 | − | 0.223292i | ||||
\(557\) | −13.3650 | + | 13.3650i | −0.566292 | + | 0.566292i | −0.931088 | − | 0.364795i | \(-0.881139\pi\) |
0.364795 | + | 0.931088i | \(0.381139\pi\) | |||||||
\(558\) | 1.03725 | + | 2.27606i | 0.0439105 | + | 0.0963534i | ||||
\(559\) | −10.4311 | − | 7.57866i | −0.441190 | − | 0.320543i | ||||
\(560\) | −35.9225 | + | 17.9591i | −1.51800 | + | 0.758909i | ||||
\(561\) | 4.27480 | − | 3.10582i | 0.180482 | − | 0.131128i | ||||
\(562\) | 13.4060 | + | 7.58480i | 0.565498 | + | 0.319945i | ||||
\(563\) | −0.762754 | + | 0.120808i | −0.0321463 | + | 0.00509147i | −0.172487 | − | 0.985012i | \(-0.555180\pi\) |
0.140341 | + | 0.990103i | \(0.455180\pi\) | |||||||
\(564\) | −2.68380 | + | 3.08733i | −0.113009 | + | 0.130000i | ||||
\(565\) | −11.6615 | + | 0.114565i | −0.490601 | + | 0.00481978i | ||||
\(566\) | 5.89615 | − | 1.63513i | 0.247834 | − | 0.0687296i | ||||
\(567\) | 2.03851 | − | 4.00080i | 0.0856095 | − | 0.168018i | ||||
\(568\) | 8.41601 | + | 23.7667i | 0.353128 | + | 0.997228i | ||||
\(569\) | 4.42737 | − | 1.43854i | 0.185605 | − | 0.0603068i | −0.214740 | − | 0.976671i | \(-0.568890\pi\) |
0.400345 | + | 0.916365i | \(0.368890\pi\) | |||||||
\(570\) | −18.8879 | − | 3.64998i | −0.791127 | − | 0.152881i | ||||
\(571\) | −25.9192 | − | 8.42167i | −1.08469 | − | 0.352436i | −0.288496 | − | 0.957481i | \(-0.593155\pi\) |
−0.796191 | + | 0.605045i | \(0.793155\pi\) | |||||||
\(572\) | 5.80759 | + | 6.92130i | 0.242828 | + | 0.289394i | ||||
\(573\) | −2.25362 | − | 0.356939i | −0.0941465 | − | 0.0149113i | ||||
\(574\) | 36.2617 | + | 28.8440i | 1.51353 | + | 1.20393i | ||||
\(575\) | 9.81141 | − | 20.2289i | 0.409164 | − | 0.843604i | ||||
\(576\) | −5.03446 | − | 6.21725i | −0.209769 | − | 0.259052i | ||||
\(577\) | −3.36036 | + | 21.2165i | −0.139894 | + | 0.883253i | 0.813509 | + | 0.581552i | \(0.197554\pi\) |
−0.953403 | + | 0.301701i | \(0.902446\pi\) | |||||||
\(578\) | −14.6168 | − | 2.97385i | −0.607977 | − | 0.123696i | ||||
\(579\) | 0.901080 | − | 2.77324i | 0.0374476 | − | 0.115252i | ||||
\(580\) | −5.50550 | − | 3.36551i | −0.228604 | − | 0.139745i | ||||
\(581\) | −6.50848 | − | 20.0311i | −0.270017 | − | 0.831028i | ||||
\(582\) | 1.68005 | + | 14.7460i | 0.0696403 | + | 0.611240i | ||||
\(583\) | −21.3973 | − | 10.9025i | −0.886187 | − | 0.451535i | ||||
\(584\) | 1.32399 | + | 2.43853i | 0.0547871 | + | 0.100907i | ||||
\(585\) | 2.81567 | − | 3.95661i | 0.116414 | − | 0.163585i | ||||
\(586\) | −23.3378 | − | 1.01902i | −0.964077 | − | 0.0420951i | ||||
\(587\) | −0.100781 | − | 0.636305i | −0.00415967 | − | 0.0262631i | 0.985521 | − | 0.169552i | \(-0.0542321\pi\) |
−0.989681 | + | 0.143289i | \(0.954232\pi\) | |||||||
\(588\) | −9.86099 | − | 24.4072i | −0.406660 | − | 1.00654i | ||||
\(589\) | 6.32425 | + | 8.70459i | 0.260586 | + | 0.358666i | ||||
\(590\) | −0.518012 | + | 15.3145i | −0.0213262 | + | 0.630488i | ||||
\(591\) | 2.61654 | − | 3.60135i | 0.107630 | − | 0.148140i | ||||
\(592\) | −35.9517 | − | 0.627932i | −1.47761 | − | 0.0258079i | ||||
\(593\) | 26.5567 | + | 26.5567i | 1.09055 | + | 1.09055i | 0.995469 | + | 0.0950849i | \(0.0303123\pi\) |
0.0950849 | + | 0.995469i | \(0.469688\pi\) | |||||||
\(594\) | −2.75544 | − | 1.03023i | −0.113057 | − | 0.0422707i | ||||
\(595\) | −25.1503 | + | 4.23709i | −1.03106 | + | 0.173704i | ||||
\(596\) | −33.8682 | − | 2.96327i | −1.38730 | − | 0.121380i | ||||
\(597\) | 8.46237 | + | 16.6083i | 0.346342 | + | 0.679734i | ||||
\(598\) | 10.1821 | − | 9.33014i | 0.416378 | − | 0.381538i | ||||
\(599\) | −43.2901 | −1.76879 | −0.884393 | − | 0.466743i | \(-0.845427\pi\) | ||||
−0.884393 | + | 0.466743i | \(0.845427\pi\) | |||||||
\(600\) | 9.53147 | − | 10.4475i | 0.389121 | − | 0.426519i | ||||
\(601\) | −5.53025 | −0.225584 | −0.112792 | − | 0.993619i | \(-0.535979\pi\) | ||||
−0.112792 | + | 0.993619i | \(0.535979\pi\) | |||||||
\(602\) | 27.7955 | − | 25.4698i | 1.13286 | − | 1.03807i | ||||
\(603\) | −3.16115 | − | 6.20411i | −0.128732 | − | 0.252651i | ||||
\(604\) | 27.5955 | + | 2.41445i | 1.12285 | + | 0.0982424i | ||||
\(605\) | −13.3610 | − | 6.64327i | −0.543203 | − | 0.270087i | ||||
\(606\) | 15.0106 | + | 5.61229i | 0.609765 | + | 0.227984i | ||||
\(607\) | −10.5049 | − | 10.5049i | −0.426379 | − | 0.426379i | 0.461014 | − | 0.887393i | \(-0.347486\pi\) |
−0.887393 | + | 0.461014i | \(0.847486\pi\) | |||||||
\(608\) | −26.5534 | − | 21.8896i | −1.07688 | − | 0.887740i | ||||
\(609\) | 3.80812 | − | 5.24143i | 0.154313 | − | 0.212394i | ||||
\(610\) | 40.9396 | + | 14.8501i | 1.65760 | + | 0.601262i | ||||
\(611\) | −2.61099 | − | 3.59373i | −0.105630 | − | 0.145387i | ||||
\(612\) | −1.90313 | − | 4.71049i | −0.0769295 | − | 0.190410i | ||||
\(613\) | 3.99442 | + | 25.2198i | 0.161333 | + | 1.01862i | 0.926913 | + | 0.375276i | \(0.122452\pi\) |
−0.765580 | + | 0.643341i | \(0.777548\pi\) | |||||||
\(614\) | −15.6043 | − | 0.681339i | −0.629737 | − | 0.0274966i | ||||
\(615\) | −15.5660 | − | 4.88918i | −0.627683 | − | 0.197151i | ||||
\(616\) | −23.2167 | + | 12.6054i | −0.935429 | + | 0.507887i | ||||
\(617\) | 11.1407 | + | 5.67648i | 0.448509 | + | 0.228527i | 0.663630 | − | 0.748061i | \(-0.269015\pi\) |
−0.215122 | + | 0.976587i | \(0.569015\pi\) | |||||||
\(618\) | 2.90823 | + | 25.5258i | 0.116986 | + | 1.02680i | ||||
\(619\) | 3.93346 | + | 12.1059i | 0.158099 | + | 0.486579i | 0.998462 | − | 0.0554458i | \(-0.0176580\pi\) |
−0.840363 | + | 0.542024i | \(0.817658\pi\) | |||||||
\(620\) | −7.88465 | + | 0.629198i | −0.316655 | + | 0.0252692i | ||||
\(621\) | −1.38951 | + | 4.27647i | −0.0557591 | + | 0.171609i | ||||
\(622\) | −6.38135 | − | 1.29832i | −0.255869 | − | 0.0520578i | ||||
\(623\) | −10.8439 | + | 68.4659i | −0.434453 | + | 2.74303i | ||||
\(624\) | 7.80791 | − | 3.80807i | 0.312566 | − | 0.152445i | ||||
\(625\) | 20.7871 | + | 13.8887i | 0.831484 | + | 0.555549i | ||||
\(626\) | −15.5612 | − | 12.3780i | −0.621951 | − | 0.494725i | ||||
\(627\) | −12.4984 | − | 1.97955i | −0.499137 | − | 0.0790556i | ||||
\(628\) | 3.27780 | + | 3.90638i | 0.130799 | + | 0.155881i | ||||
\(629\) | −21.7171 | − | 7.05630i | −0.865916 | − | 0.281353i | ||||
\(630\) | 9.69525 | + | 10.3741i | 0.386268 | + | 0.413314i | ||||
\(631\) | 33.2425 | − | 10.8011i | 1.32336 | − | 0.429986i | 0.439713 | − | 0.898138i | \(-0.355080\pi\) |
0.883648 | + | 0.468152i | \(0.155080\pi\) | |||||||
\(632\) | 36.3010 | − | 12.8545i | 1.44397 | − | 0.511325i | ||||
\(633\) | −4.76166 | + | 9.34528i | −0.189259 | + | 0.371442i | ||||
\(634\) | −6.20858 | + | 1.72177i | −0.246574 | + | 0.0683803i | ||||
\(635\) | −1.05721 | + | 3.36592i | −0.0419541 | + | 0.133572i | ||||
\(636\) | −15.1484 | + | 17.4260i | −0.600671 | + | 0.690986i | ||||
\(637\) | 28.2327 | − | 4.47163i | 1.11862 | − | 0.177172i | ||||
\(638\) | −3.69425 | − | 2.09012i | −0.146257 | − | 0.0827486i | ||||
\(639\) | 7.21163 | − | 5.23956i | 0.285288 | − | 0.207274i | ||||
\(640\) | 23.9110 | − | 8.26208i | 0.945167 | − | 0.326587i | ||||
\(641\) | −12.4082 | − | 9.01507i | −0.490094 | − | 0.356074i | 0.315127 | − | 0.949050i | \(-0.397953\pi\) |
−0.805220 | + | 0.592976i | \(0.797953\pi\) | |||||||
\(642\) | −1.46277 | − | 3.20978i | −0.0577309 | − | 0.126680i | ||||
\(643\) | −4.12183 | + | 4.12183i | −0.162549 | + | 0.162549i | −0.783695 | − | 0.621146i | \(-0.786667\pi\) |
0.621146 | + | 0.783695i | \(0.286667\pi\) | |||||||
\(644\) | 20.7975 | + | 34.6132i | 0.819536 | + | 1.36395i | ||||
\(645\) | −5.91040 | + | 11.8871i | −0.232722 | + | 0.468053i | ||||
\(646\) | −12.0619 | − | 18.2237i | −0.474570 | − | 0.717001i | ||||
\(647\) | 29.6311 | − | 15.0978i | 1.16492 | − | 0.593556i | 0.238904 | − | 0.971043i | \(-0.423212\pi\) |
0.926015 | + | 0.377488i | \(0.123212\pi\) | |||||||
\(648\) | −1.60206 | + | 2.33097i | −0.0629348 | + | 0.0915691i | ||||
\(649\) | 10.0795i | 0.395656i | ||||||||
\(650\) | 8.72583 | + | 12.6367i | 0.342255 | + | 0.495654i | ||||
\(651\) | − | 7.94168i | − | 0.311259i | ||||||
\(652\) | −2.89358 | − | 41.3834i | −0.113321 | − | 1.62070i | ||||
\(653\) | 31.3131 | − | 15.9548i | 1.22538 | − | 0.624360i | 0.283065 | − | 0.959101i | \(-0.408649\pi\) |
0.942310 | + | 0.334741i | \(0.108649\pi\) | |||||||
\(654\) | 4.55727 | − | 3.01637i | 0.178203 | − | 0.117950i | ||||
\(655\) | 3.56631 | + | 21.1687i | 0.139347 | + | 0.827130i | ||||
\(656\) | −20.2745 | − | 20.9953i | −0.791585 | − | 0.819728i | ||||
\(657\) | 0.693694 | − | 0.693694i | 0.0270636 | − | 0.0270636i | ||||
\(658\) | 11.8190 | − | 5.38618i | 0.460752 | − | 0.209975i | ||||
\(659\) | −10.8923 | − | 7.91373i | −0.424304 | − | 0.308275i | 0.355063 | − | 0.934842i | \(-0.384459\pi\) |
−0.779367 | + | 0.626567i | \(0.784459\pi\) | |||||||
\(660\) | 6.03383 | − | 7.08034i | 0.234866 | − | 0.275602i | ||||
\(661\) | −14.4788 | + | 10.5195i | −0.563160 | + | 0.409159i | −0.832614 | − | 0.553854i | \(-0.813157\pi\) |
0.269454 | + | 0.963013i | \(0.413157\pi\) | |||||||
\(662\) | −17.6762 | + | 31.2424i | −0.687006 | + | 1.21427i | ||||
\(663\) | 5.44880 | − | 0.863005i | 0.211614 | − | 0.0335164i | ||||
\(664\) | 2.41763 | + | 13.0450i | 0.0938222 | + | 0.506243i | ||||
\(665\) | 49.7647 | + | 35.4145i | 1.92979 | + | 1.37332i | ||||
\(666\) | 3.39731 | + | 12.2504i | 0.131643 | + | 0.474695i | ||||
\(667\) | −2.94545 | + | 5.78077i | −0.114048 | + | 0.223832i | ||||
\(668\) | 29.2865 | + | 18.3005i | 1.13313 | + | 0.708067i | ||||
\(669\) | −15.5291 | + | 5.04570i | −0.600389 | + | 0.195078i | ||||
\(670\) | 21.8520 | − | 2.70737i | 0.844215 | − | 0.104595i | ||||
\(671\) | 27.2446 | + | 8.85231i | 1.05177 | + | 0.341740i | ||||
\(672\) | 6.35943 | + | 24.5915i | 0.245320 | + | 0.948637i | ||||
\(673\) | 1.17648 | + | 0.186337i | 0.0453501 | + | 0.00718275i | 0.179068 | − | 0.983837i | \(-0.442692\pi\) |
−0.133718 | + | 0.991019i | \(0.542692\pi\) | |||||||
\(674\) | 2.50595 | − | 3.15039i | 0.0965254 | − | 0.121348i | ||||
\(675\) | −4.49877 | − | 2.18199i | −0.173158 | − | 0.0839848i | ||||
\(676\) | −3.72665 | − | 16.1423i | −0.143333 | − | 0.620858i | ||||
\(677\) | −4.65493 | + | 29.3901i | −0.178904 | + | 1.12955i | 0.720829 | + | 0.693113i | \(0.243761\pi\) |
−0.899733 | + | 0.436441i | \(0.856239\pi\) | |||||||
\(678\) | −1.47050 | + | 7.22763i | −0.0564742 | + | 0.277576i | ||||
\(679\) | 14.5616 | − | 44.8159i | 0.558821 | − | 1.71988i | ||||
\(680\) | 16.0553 | − | 0.578170i | 0.615691 | − | 0.0221718i | ||||
\(681\) | −3.11234 | − | 9.57881i | −0.119265 | − | 0.367061i | ||||
\(682\) | −5.16951 | + | 0.588977i | −0.197951 | + | 0.0225531i | ||||
\(683\) | −15.7957 | − | 8.04833i | −0.604407 | − | 0.307961i | 0.124877 | − | 0.992172i | \(-0.460146\pi\) |
−0.729283 | + | 0.684212i | \(0.760146\pi\) | |||||||
\(684\) | −4.75399 | + | 11.1995i | −0.181773 | + | 0.428225i | ||||
\(685\) | −0.171700 | − | 17.4772i | −0.00656031 | − | 0.667769i | ||||
\(686\) | −1.70690 | + | 39.0920i | −0.0651697 | + | 1.49254i | ||||
\(687\) | 2.41026 | + | 15.2178i | 0.0919572 | + | 0.580595i | ||||
\(688\) | −19.4531 | + | 13.6209i | −0.741644 | + | 0.519293i | ||||
\(689\) | −14.7374 | − | 20.2843i | −0.561450 | − | 0.772769i | ||||
\(690\) | −11.2146 | − | 8.74202i | −0.426931 | − | 0.332803i | ||||
\(691\) | 5.11148 | − | 7.03535i | 0.194450 | − | 0.267637i | −0.700648 | − | 0.713507i | \(-0.747106\pi\) |
0.895098 | + | 0.445870i | \(0.147106\pi\) | |||||||
\(692\) | −11.7576 | + | 47.1562i | −0.446958 | + | 1.79261i | ||||
\(693\) | 6.60451 | + | 6.60451i | 0.250885 | + | 0.250885i | ||||
\(694\) | 3.74016 | − | 10.0034i | 0.141975 | − | 0.379725i | ||||
\(695\) | −3.17774 | − | 6.08807i | −0.120539 | − | 0.230934i | ||||
\(696\) | −2.80923 | + | 2.96026i | −0.106483 | + | 0.112208i | ||||
\(697\) | −8.41470 | − | 16.5148i | −0.318730 | − | 0.625542i | ||||
\(698\) | 0.825812 | + | 0.901221i | 0.0312575 | + | 0.0341117i | ||||
\(699\) | 6.34344 | 0.239931 | ||||||||
\(700\) | −41.2941 | + | 17.6351i | −1.56077 | + | 0.666543i | ||||
\(701\) | 17.7811 | 0.671583 | 0.335792 | − | 0.941936i | \(-0.390996\pi\) | ||||
0.335792 | + | 0.941936i | \(0.390996\pi\) | |||||||
\(702\) | −2.07496 | − | 2.26443i | −0.0783142 | − | 0.0854654i | ||||
\(703\) | 24.8266 | + | 48.7249i | 0.936353 | + | 1.83770i | ||||
\(704\) | 15.5358 | − | 5.96334i | 0.585528 | − | 0.224752i | ||||
\(705\) | −3.20211 | + | 3.26565i | −0.120598 | + | 0.122992i | ||||
\(706\) | −0.277136 | + | 0.741228i | −0.0104302 | + | 0.0278965i | ||||
\(707\) | −35.9789 | − | 35.9789i | −1.35313 | − | 1.35313i | ||||
\(708\) | 9.40340 | + | 2.34458i | 0.353401 | + | 0.0881149i | ||||
\(709\) | 5.90417 | − | 8.12640i | 0.221736 | − | 0.305193i | −0.683627 | − | 0.729831i | \(-0.739599\pi\) |
0.905363 | + | 0.424638i | \(0.139599\pi\) | |||||||
\(710\) | 7.79953 | + | 27.0883i | 0.292711 | + | 1.01660i | ||||
\(711\) | −8.00284 | − | 11.0150i | −0.300130 | − | 0.413093i | ||||
\(712\) | 12.4019 | − | 41.8667i | 0.464779 | − | 1.56902i | ||||
\(713\) | 1.24411 | + | 7.85497i | 0.0465921 | + | 0.294171i | ||||
\(714\) | −0.703651 | + | 16.1152i | −0.0263335 | + | 0.603098i | ||||
\(715\) | 6.01752 | + | 8.11357i | 0.225042 | + | 0.303430i | ||||
\(716\) | 23.5293 | + | 9.98774i | 0.879331 | + | 0.373259i | ||||
\(717\) | 0.860042 | + | 0.438213i | 0.0321189 | + | 0.0163654i | ||||
\(718\) | −15.3009 | + | 1.74327i | −0.571024 | + | 0.0650584i | ||||
\(719\) | −0.629430 | − | 1.93719i | −0.0234738 | − | 0.0722449i | 0.938633 | − | 0.344916i | \(-0.112093\pi\) |
−0.962107 | + | 0.272672i | \(0.912093\pi\) | |||||||
\(720\) | −5.20187 | − | 7.27602i | −0.193862 | − | 0.271161i | ||||
\(721\) | 25.2066 | − | 77.5778i | 0.938741 | − | 2.88915i | ||||
\(722\) | −5.07725 | + | 24.9551i | −0.188956 | + | 0.928734i | ||||
\(723\) | 3.68327 | − | 23.2552i | 0.136982 | − | 0.864871i | ||||
\(724\) | −20.2826 | + | 4.68249i | −0.753797 | + | 0.174023i | ||||
\(725\) | −5.91870 | − | 4.12499i | −0.219815 | − | 0.153198i | ||||
\(726\) | −5.87479 | + | 7.38559i | −0.218034 | + | 0.274105i | ||||
\(727\) | 30.0171 | + | 4.75424i | 1.11327 | + | 0.176325i | 0.685861 | − | 0.727733i | \(-0.259426\pi\) |
0.427411 | + | 0.904058i | \(0.359426\pi\) | |||||||
\(728\) | −27.5724 | + | 0.721783i | −1.02190 | + | 0.0267511i | ||||
\(729\) | 0.951057 | + | 0.309017i | 0.0352243 | + | 0.0114451i | ||||
\(730\) | 1.31416 | + | 2.81020i | 0.0486394 | + | 0.104010i | ||||
\(731\) | −14.3429 | + | 4.66029i | −0.530491 | + | 0.172367i | ||||
\(732\) | 14.5958 | − | 23.3579i | 0.539477 | − | 0.863334i | ||||
\(733\) | 1.85241 | − | 3.63556i | 0.0684203 | − | 0.134282i | −0.854263 | − | 0.519841i | \(-0.825991\pi\) |
0.922683 | + | 0.385559i | \(0.125991\pi\) | |||||||
\(734\) | 1.66787 | + | 6.01423i | 0.0615624 | + | 0.221989i | ||||
\(735\) | −9.36923 | − | 27.8999i | −0.345589 | − | 1.02910i | ||||
\(736\) | −10.1424 | − | 23.3267i | −0.373853 | − | 0.859835i | ||||
\(737\) | 14.3057 | − | 2.26579i | 0.526956 | − | 0.0834616i | ||||
\(738\) | −5.08135 | + | 8.98120i | −0.187047 | + | 0.330602i | ||||
\(739\) | −3.36210 | + | 2.44271i | −0.123677 | + | 0.0898564i | −0.647904 | − | 0.761722i | \(-0.724354\pi\) |
0.524227 | + | 0.851578i | \(0.324354\pi\) | |||||||
\(740\) | −40.0809 | − | 3.11040i | −1.47340 | − | 0.114341i | ||||
\(741\) | −10.6884 | − | 7.76561i | −0.392650 | − | 0.285277i | ||||
\(742\) | 66.7106 | − | 30.4015i | 2.44902 | − | 1.11608i | ||||
\(743\) | 1.67808 | − | 1.67808i | 0.0615626 | − | 0.0615626i | −0.675655 | − | 0.737218i | \(-0.736139\pi\) |
0.737218 | + | 0.675655i | \(0.236139\pi\) | |||||||
\(744\) | −0.653004 | + | 4.95974i | −0.0239403 | + | 0.181833i | ||||
\(745\) | −37.5991 | − | 5.57705i | −1.37752 | − | 0.204327i | ||||
\(746\) | 36.3410 | − | 24.0534i | 1.33054 | − | 0.880659i | ||||
\(747\) | 4.17938 | − | 2.12950i | 0.152916 | − | 0.0779143i | ||||
\(748\) | 10.5421 | − | 0.737121i | 0.385459 | − | 0.0269518i | ||||
\(749\) | 11.1996i | 0.409225i | ||||||||
\(750\) | 11.3376 | − | 11.0209i | 0.413990 | − | 0.402425i | ||||
\(751\) | 30.7328i | 1.12145i | 0.828001 | + | 0.560727i | \(0.189478\pi\) | ||||
−0.828001 | + | 0.560727i | \(0.810522\pi\) | |||||||
\(752\) | −7.82407 | + | 2.39197i | −0.285315 | + | 0.0872260i | ||||
\(753\) | 4.27796 | − | 2.17973i | 0.155898 | − | 0.0794338i | ||||
\(754\) | −2.44591 | − | 3.69539i | −0.0890749 | − | 0.134578i | ||||
\(755\) | 30.6354 | + | 4.54413i | 1.11494 | + | 0.165378i | ||||
\(756\) | 7.69774 | − | 4.62521i | 0.279964 | − | 0.168217i | ||||
\(757\) | −3.48566 | + | 3.48566i | −0.126688 | + | 0.126688i | −0.767608 | − | 0.640920i | \(-0.778553\pi\) |
0.640920 | + | 0.767608i | \(0.278553\pi\) | |||||||
\(758\) | −10.6872 | − | 23.4511i | −0.388176 | − | 0.851782i | ||||
\(759\) | −7.56703 | − | 5.49777i | −0.274666 | − | 0.199557i | ||||
\(760\) | −28.1671 | − | 26.2090i | −1.02173 | − | 0.950700i | ||||
\(761\) | −23.6585 | + | 17.1889i | −0.857620 | + | 0.623097i | −0.927236 | − | 0.374477i | \(-0.877822\pi\) |
0.0696167 | + | 0.997574i | \(0.477822\pi\) | |||||||
\(762\) | 1.94205 | + | 1.09876i | 0.0703530 | + | 0.0398041i | ||||
\(763\) | −17.1383 | + | 2.71445i | −0.620450 | + | 0.0982696i | ||||
\(764\) | −3.44405 | − | 2.99390i | −0.124601 | − | 0.108315i | ||||
\(765\) | −1.80822 | − | 5.38457i | −0.0653764 | − | 0.194679i | ||||
\(766\) | −39.3225 | + | 10.9050i | −1.42078 | + | 0.394013i | ||||
\(767\) | −4.77760 | + | 9.37658i | −0.172509 | + | 0.338569i | ||||
\(768\) | −1.94956 | − | 15.8808i | −0.0703488 | − | 0.573048i | ||||
\(769\) | −20.4125 | + | 6.63242i | −0.736093 | + | 0.239171i | −0.652986 | − | 0.757370i | \(-0.726484\pi\) |
−0.0831064 | + | 0.996541i | \(0.526484\pi\) | |||||||
\(770\) | −26.7553 | + | 12.5119i | −0.964193 | + | 0.450896i | ||||
\(771\) | 28.6665 | + | 9.31430i | 1.03240 | + | 0.335446i | ||||
\(772\) | 4.46752 | − | 3.74866i | 0.160790 | − | 0.134917i | ||||
\(773\) | 15.1378 | + | 2.39759i | 0.544468 | + | 0.0862353i | 0.422609 | − | 0.906312i | \(-0.361114\pi\) |
0.121859 | + | 0.992547i | \(0.461114\pi\) | |||||||
\(774\) | 6.57083 | + | 5.22670i | 0.236184 | + | 0.187870i | ||||
\(775\) | −8.84162 | + | 0.173741i | −0.317600 | + | 0.00624096i | ||||
\(776\) | −12.7790 | + | 26.7911i | −0.458738 | + | 0.961744i | ||||
\(777\) | 6.31429 | − | 39.8669i | 0.226524 | − | 1.43022i | ||||
\(778\) | −17.3751 | − | 3.53504i | −0.622926 | − | 0.126737i | ||||
\(779\) | −13.7167 | + | 42.2157i | −0.491452 | + | 1.51254i | ||||
\(780\) | 8.96904 | − | 3.72657i | 0.321143 | − | 0.133433i | ||||
\(781\) | 5.72991 | + | 17.6348i | 0.205032 | + | 0.631024i | ||||
\(782\) | −1.82857 | − | 16.0495i | −0.0653895 | − | 0.573930i | ||||
\(783\) | 1.28560 | + | 0.655047i | 0.0459437 | + | 0.0234095i | ||||
\(784\) | 9.14277 | − | 51.8479i | 0.326528 | − | 1.85171i | ||||
\(785\) | 3.39629 | + | 4.57930i | 0.121219 | + | 0.163442i | ||||
\(786\) | 13.5640 | + | 0.592255i | 0.483812 | + | 0.0211250i | ||||
\(787\) | −1.41565 | − | 8.93807i | −0.0504625 | − | 0.318608i | −0.999988 | − | 0.00491769i | \(-0.998435\pi\) |
0.949525 | − | 0.313690i | \(-0.101565\pi\) | |||||||
\(788\) | 8.25477 | − | 3.33509i | 0.294064 | − | 0.118808i | ||||
\(789\) | 10.8899 | + | 14.9886i | 0.387690 | + | 0.533610i | ||||
\(790\) | 41.3743 | − | 11.9129i | 1.47203 | − | 0.423842i | ||||
\(791\) | 13.7649 | − | 18.9458i | 0.489424 | − | 0.673635i | ||||
\(792\) | −3.58160 | − | 4.66771i | −0.127267 | − | 0.165860i | ||||
\(793\) | 21.1486 | + | 21.1486i | 0.751010 | + | 0.751010i | ||||
\(794\) | −2.06480 | − | 0.772003i | −0.0732770 | − | 0.0273974i | ||||
\(795\) | −18.0739 | + | 18.4325i | −0.641014 | + | 0.653734i | ||||
\(796\) | −3.24936 | + | 37.1381i | −0.115171 | + | 1.31632i | ||||
\(797\) | −22.7616 | − | 44.6721i | −0.806257 | − | 1.58237i | −0.812909 | − | 0.582391i | \(-0.802117\pi\) |
0.00665213 | − | 0.999978i | \(-0.497883\pi\) | |||||||
\(798\) | 28.4812 | − | 26.0981i | 1.00822 | − | 0.923861i | ||||
\(799\) | −5.19570 | −0.183811 | ||||||||
\(800\) | 27.2390 | − | 7.61807i | 0.963045 | − | 0.269339i | ||||
\(801\) | −15.4379 | −0.545471 | ||||||||
\(802\) | 33.6332 | − | 30.8190i | 1.18763 | − | 1.08826i | ||||
\(803\) | 0.926444 | + | 1.81825i | 0.0326935 | + | 0.0641646i | ||||
\(804\) | 1.21381 | − | 13.8731i | 0.0428079 | − | 0.489265i | ||||
\(805\) | 20.8906 | + | 40.0231i | 0.736296 | + | 1.41063i | ||||
\(806\) | −5.08815 | − | 1.90240i | −0.179223 | − | 0.0670091i | ||||
\(807\) | −17.3137 | − | 17.3137i | −0.609472 | − | 0.609472i | ||||
\(808\) | 19.5112 | + | 25.4279i | 0.686402 | + | 0.894552i | ||||
\(809\) | 6.38491 | − | 8.78807i | 0.224481 | − | 0.308972i | −0.681889 | − | 0.731455i | \(-0.738841\pi\) |
0.906371 | + | 0.422483i | \(0.138841\pi\) | |||||||
\(810\) | −1.94416 | + | 2.49404i | −0.0683110 | + | 0.0876316i | ||||
\(811\) | 13.6381 | + | 18.7712i | 0.478898 | + | 0.659147i | 0.978293 | − | 0.207228i | \(-0.0664442\pi\) |
−0.499395 | + | 0.866375i | \(0.666444\pi\) | |||||||
\(812\) | 12.0140 | − | 4.85391i | 0.421610 | − | 0.170339i | ||||
\(813\) | −1.90092 | − | 12.0019i | −0.0666682 | − | 0.420926i | ||||
\(814\) | −26.4190 | − | 1.15355i | −0.925986 | − | 0.0404319i | ||||
\(815\) | −0.455635 | − | 46.3787i | −0.0159602 | − | 1.62458i | ||||
\(816\) | 1.76452 | − | 10.0064i | 0.0617705 | − | 0.350295i | ||||
\(817\) | 32.1801 | + | 16.3966i | 1.12584 | + | 0.573644i | ||||
\(818\) | −3.59235 | − | 31.5304i | −0.125604 | − | 1.10243i | ||||
\(819\) | 3.01343 | + | 9.27438i | 0.105298 | + | 0.324073i | ||||
\(820\) | −21.2196 | − | 24.7901i | −0.741021 | − | 0.865708i | ||||
\(821\) | 6.43852 | − | 19.8157i | 0.224706 | − | 0.691573i | −0.773616 | − | 0.633655i | \(-0.781554\pi\) |
0.998321 | − | 0.0579181i | \(-0.0184462\pi\) | |||||||
\(822\) | −10.8322 | − | 2.20386i | −0.377815 | − | 0.0768683i | ||||
\(823\) | 2.40540 | − | 15.1871i | 0.0838469 | − | 0.529389i | −0.909636 | − | 0.415407i | \(-0.863639\pi\) |
0.993483 | − | 0.113982i | \(-0.0363607\pi\) | |||||||
\(824\) | −22.1208 | + | 46.3763i | −0.770616 | + | 1.61560i | ||||
\(825\) | 7.20844 | − | 7.49742i | 0.250966 | − | 0.261027i | ||||
\(826\) | −24.0811 | − | 19.1551i | −0.837888 | − | 0.666490i | ||||
\(827\) | −24.7345 | − | 3.91756i | −0.860103 | − | 0.136227i | −0.289224 | − | 0.957261i | \(-0.593397\pi\) |
−0.570879 | + | 0.821034i | \(0.693397\pi\) | |||||||
\(828\) | −6.88914 | + | 5.78061i | −0.239414 | + | 0.200890i | ||||
\(829\) | 0.129955 | + | 0.0422250i | 0.00451353 | + | 0.00146654i | 0.311273 | − | 0.950321i | \(-0.399245\pi\) |
−0.306759 | + | 0.951787i | \(0.599245\pi\) | |||||||
\(830\) | 1.82381 | + | 14.7205i | 0.0633053 | + | 0.510957i | ||||
\(831\) | 6.93936 | − | 2.25474i | 0.240724 | − | 0.0782159i | ||||
\(832\) | 17.2789 | + | 1.81637i | 0.599038 | + | 0.0629713i | ||||
\(833\) | 15.1788 | − | 29.7900i | 0.525913 | − | 1.03216i | ||||
\(834\) | −4.18543 | + | 1.16071i | −0.144929 | + | 0.0401921i | ||||
\(835\) | 31.4579 | + | 22.3867i | 1.08865 | + | 0.774722i | ||||
\(836\) | −19.1004 | − | 16.6039i | −0.660600 | − | 0.574257i | ||||
\(837\) | 1.74689 | − | 0.276680i | 0.0603814 | − | 0.00956347i | ||||
\(838\) | −29.6804 | − | 16.7925i | −1.02529 | − | 0.580087i | ||||
\(839\) | 22.1804 | − | 16.1150i | 0.765752 | − | 0.556352i | −0.134917 | − | 0.990857i | \(-0.543077\pi\) |
0.900669 | + | 0.434505i | \(0.143077\pi\) | |||||||
\(840\) | 5.44906 | + | 27.8709i | 0.188010 | + | 0.961637i | ||||
\(841\) | −21.7772 | − | 15.8221i | −0.750939 | − | 0.545589i | ||||
\(842\) | −8.37581 | − | 18.3792i | −0.288650 | − | 0.633388i | ||||
\(843\) | 7.70146 | − | 7.70146i | 0.265252 | − | 0.265252i | ||||
\(844\) | −17.9808 | + | 10.8038i | −0.618924 | + | 0.371882i | ||||
\(845\) | −3.07711 | − | 18.2650i | −0.105856 | − | 0.628334i | ||||
\(846\) | 1.59653 | + | 2.41211i | 0.0548899 | + | 0.0829301i | ||||
\(847\) | 26.6977 | − | 13.6032i | 0.917344 | − | 0.467410i | ||||
\(848\) | −44.1619 | + | 13.5011i | −1.51652 | + | 0.463630i | ||||
\(849\) | − | 4.32656i | − | 0.148487i | ||||||
\(850\) | 17.9568 | + | 0.430833i | 0.615913 | + | 0.0147774i | ||||
\(851\) | 40.4208i | 1.38561i | ||||||||
\(852\) | 17.7847 | − | 1.24353i | 0.609294 | − | 0.0426027i | ||||
\(853\) | 40.6991 | − | 20.7372i | 1.39351 | − | 0.710029i | 0.413785 | − | 0.910375i | \(-0.364207\pi\) |
0.979725 | + | 0.200346i | \(0.0642067\pi\) | |||||||
\(854\) | −72.9246 | + | 48.2675i | −2.49543 | + | 1.65168i | ||||
\(855\) | −6.05620 | + | 12.1803i | −0.207118 | + | 0.416558i | ||||
\(856\) | 0.920887 | − | 6.99439i | 0.0314753 | − | 0.239063i | ||||
\(857\) | 7.89955 | − | 7.89955i | 0.269844 | − | 0.269844i | −0.559194 | − | 0.829037i | \(-0.688889\pi\) |
0.829037 | + | 0.559194i | \(0.188889\pi\) | |||||||
\(858\) | 5.81353 | − | 2.64936i | 0.198471 | − | 0.0904476i | ||||
\(859\) | 10.1313 | + | 7.36085i | 0.345677 | + | 0.251149i | 0.747053 | − | 0.664764i | \(-0.231468\pi\) |
−0.401376 | + | 0.915913i | \(0.631468\pi\) | |||||||
\(860\) | −22.6231 | + | 13.8974i | −0.771440 | + | 0.473899i | ||||
\(861\) | 26.5062 | − | 19.2579i | 0.903329 | − | 0.656307i | ||||
\(862\) | 19.0111 | − | 33.6019i | 0.647522 | − | 1.14448i | ||||
\(863\) | 7.46119 | − | 1.18174i | 0.253982 | − | 0.0402268i | −0.0281451 | − | 0.999604i | \(-0.508960\pi\) |
0.282127 | + | 0.959377i | \(0.408960\pi\) | |||||||
\(864\) | −5.18771 | + | 2.25559i | −0.176489 | + | 0.0767369i | ||||
\(865\) | −16.2824 | + | 51.8394i | −0.553617 | + | 1.76259i | ||||
\(866\) | −11.8297 | − | 42.6568i | −0.401988 | − | 1.44954i | ||||
\(867\) | −4.78840 | + | 9.39776i | −0.162623 | + | 0.319165i | ||||
\(868\) | 8.41697 | − | 13.4698i | 0.285691 | − | 0.457195i | ||||
\(869\) | 26.9352 | − | 8.75179i | 0.913715 | − | 0.296884i | ||||
\(870\) | −3.33357 | + | 3.11543i | −0.113019 | + | 0.105623i | ||||
\(871\) | 14.3819 | + | 4.67297i | 0.487313 | + | 0.158338i | ||||
\(872\) | 10.9264 | − | 0.286029i | 0.370016 | − | 0.00968617i | ||||
\(873\) | 10.3652 | + | 1.64169i | 0.350810 | + | 0.0555628i | ||||
\(874\) | −24.0818 | + | 30.2748i | −0.814580 | + | 1.02406i | ||||
\(875\) | −47.2671 | + | 16.9135i | −1.59792 | + | 0.571780i | ||||
\(876\) | 1.91178 | − | 0.441358i | 0.0645930 | − | 0.0149121i | ||||
\(877\) | −0.531340 | + | 3.35475i | −0.0179421 | + | 0.113282i | −0.995034 | − | 0.0995361i | \(-0.968264\pi\) |
0.977092 | + | 0.212818i | \(0.0682641\pi\) | |||||||
\(878\) | −7.29934 | + | 35.8769i | −0.246341 | + | 1.21079i | ||||
\(879\) | −5.10436 | + | 15.7096i | −0.172166 | + | 0.529872i | ||||
\(880\) | 17.7380 | − | 5.61396i | 0.597948 | − | 0.189247i | ||||
\(881\) | 3.43530 | + | 10.5728i | 0.115738 | + | 0.356205i | 0.992100 | − | 0.125448i | \(-0.0400367\pi\) |
−0.876362 | + | 0.481653i | \(0.840037\pi\) | |||||||
\(882\) | −18.4942 | + | 2.10710i | −0.622732 | + | 0.0709496i | ||||
\(883\) | 38.6913 | + | 19.7142i | 1.30206 | + | 0.663435i | 0.960985 | − | 0.276599i | \(-0.0892075\pi\) |
0.341079 | + | 0.940034i | \(0.389207\pi\) | |||||||
\(884\) | 10.1563 | + | 4.31117i | 0.341594 | + | 0.145000i | ||||
\(885\) | 10.3373 | + | 3.24686i | 0.347483 | + | 0.109142i | ||||
\(886\) | 1.31605 | − | 30.1406i | 0.0442136 | − | 1.01259i | ||||
\(887\) | 4.86134 | + | 30.6933i | 0.163228 | + | 1.03058i | 0.924232 | + | 0.381832i | \(0.124707\pi\) |
−0.761004 | + | 0.648747i | \(0.775293\pi\) | |||||||
\(888\) | −7.22145 | + | 24.3785i | −0.242336 | + | 0.818088i | ||||
\(889\) | −4.16422 | − | 5.73156i | −0.139664 | − | 0.192230i | ||||
\(890\) | 16.6468 | − | 45.8930i | 0.558003 | − | 1.53834i | ||||
\(891\) | −1.22267 | + | 1.68286i | −0.0409609 | + | 0.0563778i | ||||
\(892\) | −31.6864 | − | 7.90049i | −1.06094 | − | 0.264528i | ||||
\(893\) | 8.79842 | + | 8.79842i | 0.294428 | + | 0.294428i | ||||
\(894\) | −8.41902 | + | 22.5175i | −0.281574 | + | 0.753098i | ||||
\(895\) | 25.5898 | + | 12.7236i | 0.855373 | + | 0.425302i | ||||
\(896\) | −15.2771 | + | 48.4494i | −0.510371 | + | 1.61858i | ||||
\(897\) | −4.43341 | − | 8.70105i | −0.148027 | − | 0.290520i | ||||
\(898\) | 4.57034 | + | 4.98768i | 0.152514 | + | 0.166441i | ||||
\(899\) | 2.55195 | 0.0851122 | ||||||||
\(900\) | −5.31774 | − | 8.46886i | −0.177258 | − | 0.282295i | ||||
\(901\) | −29.3264 | −0.977004 | ||||||||
\(902\) | −14.5014 | − | 15.8256i | −0.482843 | − | 0.526934i | ||||
\(903\) | −12.1025 | − | 23.7525i | −0.402746 | − | 0.790433i | ||||
\(904\) | −10.1543 | + | 10.7002i | −0.337727 | + | 0.355884i | ||||
\(905\) | −22.9497 | + | 3.86635i | −0.762874 | + | 0.128522i | ||||
\(906\) | 6.85975 | − | 18.3471i | 0.227900 | − | 0.609541i | ||||
\(907\) | −15.6082 | − | 15.6082i | −0.518261 | − | 0.518261i | 0.398784 | − | 0.917045i | \(-0.369432\pi\) |
−0.917045 | + | 0.398784i | \(0.869432\pi\) | |||||||
\(908\) | 4.87327 | − | 19.5451i | 0.161725 | − | 0.648628i | ||||
\(909\) | 6.66063 | − | 9.16757i | 0.220919 | − | 0.304069i | ||||
\(910\) | −30.8198 | − | 1.04248i | −1.02167 | − | 0.0345578i | ||||
\(911\) | 10.5675 | + | 14.5449i | 0.350117 | + | 0.481895i | 0.947362 | − | 0.320164i | \(-0.103738\pi\) |
−0.597245 | + | 0.802059i | \(0.703738\pi\) | |||||||
\(912\) | −19.9330 | + | 13.9569i | −0.660047 | + | 0.462159i | ||||
\(913\) | 1.52634 | + | 9.63696i | 0.0505146 | + | 0.318937i | ||||
\(914\) | 0.419335 | − | 9.60375i | 0.0138704 | − | 0.317664i | ||||
\(915\) | 17.8548 | − | 25.0897i | 0.590262 | − | 0.829440i | ||||
\(916\) | −12.0405 | + | 28.3652i | −0.397830 | + | 0.937214i | ||||
\(917\) | −38.4091 | − | 19.5704i | −1.26838 | − | 0.646272i | ||||
\(918\) | −3.56930 | + | 0.406661i | −0.117805 | + | 0.0134218i | ||||
\(919\) | −6.00600 | − | 18.4846i | −0.198120 | − | 0.609749i | −0.999926 | − | 0.0121655i | \(-0.996127\pi\) |
0.801806 | − | 0.597584i | \(-0.203873\pi\) | |||||||
\(920\) | −9.75569 | − | 26.7130i | −0.321635 | − | 0.880701i | ||||
\(921\) | −3.41290 | + | 10.5038i | −0.112459 | + | 0.346113i | ||||
\(922\) | −0.252925 | + | 1.24315i | −0.00832964 | + | 0.0409409i | ||||
\(923\) | −3.02845 | + | 19.1209i | −0.0996827 | + | 0.629372i | ||||
\(924\) | 4.20207 | + | 18.2016i | 0.138238 | + | 0.598790i | ||||
\(925\) | −44.5227 | − | 6.15765i | −1.46390 | − | 0.202462i | ||||
\(926\) | 26.5093 | − | 33.3266i | 0.871150 | − | 1.09518i | ||||
\(927\) | 17.9426 | + | 2.84182i | 0.589311 | + | 0.0933377i | ||||
\(928\) | −7.90213 | + | 2.04351i | −0.259400 | + | 0.0670816i | ||||
\(929\) | 31.4701 | + | 10.2253i | 1.03250 | + | 0.335480i | 0.775779 | − | 0.631005i | \(-0.217357\pi\) |
0.256723 | + | 0.966485i | \(0.417357\pi\) | |||||||
\(930\) | −1.06119 | + | 5.49142i | −0.0347977 | + | 0.180071i | ||||
\(931\) | −76.1504 | + | 24.7427i | −2.49573 | + | 0.810911i | ||||
\(932\) | 10.7590 | + | 6.72308i | 0.352424 | + | 0.220222i | ||||
\(933\) | −2.09051 | + | 4.10285i | −0.0684401 | + | 0.134321i | ||||
\(934\) | −6.42285 | − | 23.1603i | −0.210162 | − | 0.757827i | ||||
\(935\) | 11.8147 | − | 0.116070i | 0.386382 | − | 0.00379590i | ||||
\(936\) | −1.11936 | − | 6.03982i | −0.0365875 | − | 0.197418i | ||||
\(937\) | −4.63859 | + | 0.734681i | −0.151536 | + | 0.0240010i | −0.231742 | − | 0.972777i | \(-0.574442\pi\) |
0.0802054 | + | 0.996778i | \(0.474442\pi\) | |||||||
\(938\) | −21.7731 | + | 38.4836i | −0.710918 | + | 1.25654i | ||||
\(939\) | −11.3748 | + | 8.26425i | −0.371202 | + | 0.269694i | ||||
\(940\) | −8.89216 | + | 2.14509i | −0.290030 | + | 0.0699651i | ||||
\(941\) | −30.0646 | − | 21.8432i | −0.980077 | − | 0.712068i | −0.0223514 | − | 0.999750i | \(-0.507115\pi\) |
−0.957726 | + | 0.287682i | \(0.907115\pi\) | |||||||
\(942\) | 3.28116 | − | 1.49530i | 0.106906 | − | 0.0487194i | ||||
\(943\) | −23.1999 | + | 23.1999i | −0.755494 | + | 0.755494i | ||||
\(944\) | 13.4641 | + | 13.9428i | 0.438219 | + | 0.453799i | ||||
\(945\) | 8.90086 | − | 4.64592i | 0.289545 | − | 0.151132i | ||||
\(946\) | −14.5638 | + | 9.63948i | −0.473509 | + | 0.313407i | ||||
\(947\) | −28.1072 | + | 14.3213i | −0.913361 | + | 0.465381i | −0.846504 | − | 0.532382i | \(-0.821297\pi\) |
−0.0668570 | + | 0.997763i | \(0.521297\pi\) | |||||||
\(948\) | −1.89935 | − | 27.1642i | −0.0616881 | − | 0.882251i | ||||
\(949\) | 2.13057i | 0.0691611i | ||||||||
\(950\) | −29.6786 | − | 31.1377i | −0.962899 | − | 1.01024i | ||||
\(951\) | 4.55582i | 0.147733i | ||||||||
\(952\) | −18.2732 | + | 26.5871i | −0.592236 | + | 0.861694i | ||||
\(953\) | −23.5416 | + | 11.9951i | −0.762588 | + | 0.388558i | −0.791615 | − | 0.611020i | \(-0.790759\pi\) |
0.0290264 | + | 0.999579i | \(0.490759\pi\) | |||||||
\(954\) | 9.01140 | + | 13.6148i | 0.291755 | + | 0.440796i | ||||
\(955\) | −3.64298 | − | 3.57209i | −0.117884 | − | 0.115590i | ||||
\(956\) | 0.994270 | + | 1.65476i | 0.0321570 | + | 0.0535189i | ||||
\(957\) | −2.12227 | + | 2.12227i | −0.0686032 | + | 0.0686032i | ||||
\(958\) | −12.4720 | − | 27.3676i | −0.402953 | − | 0.884206i | ||||
\(959\) | 28.3943 | + | 20.6297i | 0.916900 | + | 0.666167i | ||||
\(960\) | −1.11137 | − | 17.8540i | −0.0358693 | − | 0.576235i | ||||
\(961\) | −22.5488 | + | 16.3826i | −0.727380 | + | 0.528472i | ||||
\(962\) | −24.0297 | − | 13.5955i | −0.774750 | − | 0.438335i | ||||
\(963\) | −2.46352 | + | 0.390184i | −0.0793859 | + | 0.0125735i | ||||
\(964\) | 30.8942 | − | 35.5393i | 0.995034 | − | 1.14464i | ||||
\(965\) | 5.23711 | − | 3.88416i | 0.168589 | − | 0.125035i | ||||
\(966\) | 27.5151 | − | 7.63053i | 0.885284 | − | 0.245508i | ||||
\(967\) | −2.30501 | + | 4.52383i | −0.0741240 | + | 0.145477i | −0.925095 | − | 0.379737i | \(-0.876015\pi\) |
0.850971 | + | 0.525213i | \(0.176015\pi\) | |||||||
\(968\) | −17.7918 | + | 6.30024i | −0.571849 | + | 0.202497i | ||||
\(969\) | −14.6967 | + | 4.77525i | −0.472126 | + | 0.153403i | ||||
\(970\) | −16.0573 | + | 29.0430i | −0.515568 | + | 0.932514i | ||||
\(971\) | −30.8515 | − | 10.0243i | −0.990072 | − | 0.321694i | −0.231181 | − | 0.972911i | \(-0.574259\pi\) |
−0.758892 | + | 0.651217i | \(0.774259\pi\) | |||||||
\(972\) | 1.28557 | + | 1.53210i | 0.0412346 | + | 0.0491420i | ||||
\(973\) | 13.6207 | + | 2.15731i | 0.436660 | + | 0.0691602i | ||||
\(974\) | 5.19477 | + | 4.13213i | 0.166451 | + | 0.132402i | ||||
\(975\) | 10.2594 | − | 3.55781i | 0.328564 | − | 0.113941i | ||||
\(976\) | 49.5117 | − | 24.1478i | 1.58483 | − | 0.772952i | ||||
\(977\) | 0.473153 | − | 2.98737i | 0.0151375 | − | 0.0955745i | −0.978963 | − | 0.204038i | \(-0.934593\pi\) |
0.994100 | + | 0.108464i | \(0.0345932\pi\) | |||||||
\(978\) | −28.7450 | − | 5.84832i | −0.919164 | − | 0.187009i | ||||
\(979\) | 9.92338 | − | 30.5410i | 0.317152 | − | 0.976095i | ||||
\(980\) | 13.6786 | − | 57.2507i | 0.436947 | − | 1.82881i | ||||
\(981\) | −1.19417 | − | 3.67527i | −0.0381268 | − | 0.117342i | ||||
\(982\) | 3.29192 | + | 28.8935i | 0.105049 | + | 0.922028i | ||||
\(983\) | −6.89254 | − | 3.51193i | −0.219838 | − | 0.112013i | 0.340604 | − | 0.940207i | \(-0.389369\pi\) |
−0.560442 | + | 0.828194i | \(0.689369\pi\) | |||||||
\(984\) | −18.1371 | + | 9.84747i | −0.578191 | + | 0.313926i | ||||
\(985\) | 9.43604 | − | 3.16877i | 0.300657 | − | 0.100965i | ||||
\(986\) | −5.17841 | − | 0.226108i | −0.164914 | − | 0.00720076i | ||||
\(987\) | −1.43673 | − | 9.07113i | −0.0457315 | − | 0.288737i | ||||
\(988\) | −9.89820 | − | 24.4993i | −0.314904 | − | 0.779427i | ||||
\(989\) | 15.6913 | + | 21.5972i | 0.498955 | + | 0.686752i | ||||
\(990\) | −3.68430 | − | 5.44932i | −0.117095 | − | 0.173191i | ||||
\(991\) | 28.7622 | − | 39.5878i | 0.913661 | − | 1.25755i | −0.0522398 | − | 0.998635i | \(-0.516636\pi\) |
0.965901 | − | 0.258912i | \(-0.0833640\pi\) | |||||||
\(992\) | −6.36412 | + | 7.72008i | −0.202061 | + | 0.245113i | ||||
\(993\) | 17.9481 | + | 17.9481i | 0.569566 | + | 0.569566i | ||||
\(994\) | −53.0206 | − | 19.8238i | −1.68171 | − | 0.628771i | ||||
\(995\) | −6.11550 | + | 41.2292i | −0.193874 | + | 1.30705i | ||||
\(996\) | 9.34555 | + | 0.817681i | 0.296125 | + | 0.0259092i | ||||
\(997\) | −5.99814 | − | 11.7720i | −0.189963 | − | 0.372824i | 0.776307 | − | 0.630355i | \(-0.217091\pi\) |
−0.966270 | + | 0.257532i | \(0.917091\pi\) | |||||||
\(998\) | 24.3956 | − | 22.3543i | 0.772229 | − | 0.707614i | ||||
\(999\) | 8.98930 | 0.284409 |
(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 | 300.2.w.a.223.22 | yes | 240 | |
3.2 | odd | 2 | 900.2.bj.f.523.9 | 240 | |||
4.3 | odd | 2 | inner | 300.2.w.a.223.10 | yes | 240 | |
12.11 | even | 2 | 900.2.bj.f.523.21 | 240 | |||
25.12 | odd | 20 | inner | 300.2.w.a.187.10 | ✓ | 240 | |
75.62 | even | 20 | 900.2.bj.f.487.21 | 240 | |||
100.87 | even | 20 | inner | 300.2.w.a.187.22 | yes | 240 | |
300.287 | odd | 20 | 900.2.bj.f.487.9 | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.w.a.187.10 | ✓ | 240 | 25.12 | odd | 20 | inner | |
300.2.w.a.187.22 | yes | 240 | 100.87 | even | 20 | inner | |
300.2.w.a.223.10 | yes | 240 | 4.3 | odd | 2 | inner | |
300.2.w.a.223.22 | yes | 240 | 1.1 | even | 1 | trivial | |
900.2.bj.f.487.9 | 240 | 300.287 | odd | 20 | |||
900.2.bj.f.487.21 | 240 | 75.62 | even | 20 | |||
900.2.bj.f.523.9 | 240 | 3.2 | odd | 2 | |||
900.2.bj.f.523.21 | 240 | 12.11 | even | 2 |