Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(263,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 8, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.263");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bd (of order \(12\), 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: | \(192\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 527.2 | ||
Character | \(\chi\) | \(=\) | 770.527 |
Dual form | 770.2.bd.a.263.2 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | −2.93076 | − | 0.785295i | −1.69208 | − | 0.453390i | −0.721152 | − | 0.692777i | \(-0.756387\pi\) |
−0.970924 | + | 0.239387i | \(0.923054\pi\) | |||||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 0.860133 | + | 2.06402i | 0.384663 | + | 0.923057i | ||||
\(6\) | 3.03415i | 1.23869i | ||||||||
\(7\) | −0.604940 | − | 2.57566i | −0.228646 | − | 0.973510i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 5.37460 | + | 3.10303i | 1.79153 | + | 1.03434i | ||||
\(10\) | 1.77107 | − | 1.36503i | 0.560061 | − | 0.431661i | ||||
\(11\) | 0.981809 | − | 3.16797i | 0.296027 | − | 0.955180i | ||||
\(12\) | 2.93076 | − | 0.785295i | 0.846038 | − | 0.226695i | ||||
\(13\) | −1.57020 | − | 1.57020i | −0.435496 | − | 0.435496i | 0.454997 | − | 0.890493i | \(-0.349640\pi\) |
−0.890493 | + | 0.454997i | \(0.849640\pi\) | |||||||
\(14\) | −2.33133 | + | 1.25096i | −0.623074 | + | 0.334333i | ||||
\(15\) | −0.899981 | − | 6.72460i | −0.232374 | − | 1.73629i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −5.75068 | − | 1.54089i | −1.39475 | − | 0.373721i | −0.518290 | − | 0.855205i | \(-0.673431\pi\) |
−0.876455 | + | 0.481484i | \(0.840098\pi\) | |||||||
\(18\) | 1.60624 | − | 5.99458i | 0.378595 | − | 1.41294i | ||||
\(19\) | 0.0868117 | − | 0.150362i | 0.0199160 | − | 0.0344955i | −0.855896 | − | 0.517149i | \(-0.826993\pi\) |
0.875812 | + | 0.482653i | \(0.160327\pi\) | |||||||
\(20\) | −1.77691 | − | 1.35743i | −0.397328 | − | 0.303530i | ||||
\(21\) | −0.249721 | + | 8.02371i | −0.0544937 | + | 1.75092i | ||||
\(22\) | −3.31414 | − | 0.128423i | −0.706576 | − | 0.0273799i | ||||
\(23\) | 0.910995 | + | 3.39988i | 0.189956 | + | 0.708924i | 0.993515 | + | 0.113700i | \(0.0362701\pi\) |
−0.803560 | + | 0.595224i | \(0.797063\pi\) | |||||||
\(24\) | −1.51707 | − | 2.62765i | −0.309671 | − | 0.536367i | ||||
\(25\) | −3.52034 | + | 3.55066i | −0.704068 | + | 0.710132i | ||||
\(26\) | −1.11030 | + | 1.92310i | −0.217748 | + | 0.377151i | ||||
\(27\) | −6.87847 | − | 6.87847i | −1.32376 | − | 1.32376i | ||||
\(28\) | 1.81173 | + | 1.92812i | 0.342384 | + | 0.364381i | ||||
\(29\) | 6.62678 | 1.23056 | 0.615281 | − | 0.788308i | \(-0.289043\pi\) | ||||
0.615281 | + | 0.788308i | \(0.289043\pi\) | |||||||
\(30\) | −6.26254 | + | 2.60977i | −1.14338 | + | 0.476477i | ||||
\(31\) | −1.64358 | − | 2.84676i | −0.295196 | − | 0.511294i | 0.679835 | − | 0.733365i | \(-0.262052\pi\) |
−0.975030 | + | 0.222071i | \(0.928718\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | −5.36524 | + | 8.51356i | −0.933969 | + | 1.48202i | ||||
\(34\) | 5.95354i | 1.02102i | ||||||||
\(35\) | 4.79589 | − | 3.46402i | 0.810653 | − | 0.585527i | ||||
\(36\) | −6.20605 | −1.03434 | ||||||||
\(37\) | −11.1973 | + | 3.00030i | −1.84082 | + | 0.493246i | −0.998923 | − | 0.0463914i | \(-0.985228\pi\) |
−0.841897 | + | 0.539638i | \(0.818561\pi\) | |||||||
\(38\) | −0.167707 | − | 0.0449370i | −0.0272057 | − | 0.00728975i | ||||
\(39\) | 3.36882 | + | 5.83496i | 0.539443 | + | 0.934342i | ||||
\(40\) | −0.851275 | + | 2.06769i | −0.134598 | + | 0.326930i | ||||
\(41\) | 4.78788i | 0.747741i | 0.927481 | + | 0.373870i | \(0.121969\pi\) | ||||
−0.927481 | + | 0.373870i | \(0.878031\pi\) | |||||||
\(42\) | 7.81495 | − | 1.83548i | 1.20587 | − | 0.283220i | ||||
\(43\) | 3.69185 | + | 3.69185i | 0.563002 | + | 0.563002i | 0.930159 | − | 0.367157i | \(-0.119669\pi\) |
−0.367157 | + | 0.930159i | \(0.619669\pi\) | |||||||
\(44\) | 0.733715 | + | 3.23445i | 0.110612 | + | 0.487612i | ||||
\(45\) | −1.78183 | + | 13.7623i | −0.265620 | + | 2.05156i | ||||
\(46\) | 3.04825 | − | 1.75991i | 0.449440 | − | 0.259484i | ||||
\(47\) | 1.43298 | − | 0.383965i | 0.209021 | − | 0.0560071i | −0.152789 | − | 0.988259i | \(-0.548825\pi\) |
0.361810 | + | 0.932252i | \(0.382159\pi\) | |||||||
\(48\) | −2.14547 | + | 2.14547i | −0.309671 | + | 0.309671i | ||||
\(49\) | −6.26809 | + | 3.11625i | −0.895442 | + | 0.445178i | ||||
\(50\) | 4.34081 | + | 2.48141i | 0.613883 | + | 0.350924i | ||||
\(51\) | 15.6438 | + | 9.03197i | 2.19057 | + | 1.26473i | ||||
\(52\) | 2.14494 | + | 0.574734i | 0.297449 | + | 0.0797013i | ||||
\(53\) | 6.50511 | + | 1.74304i | 0.893545 | + | 0.239425i | 0.676242 | − | 0.736680i | \(-0.263607\pi\) |
0.217303 | + | 0.976104i | \(0.430274\pi\) | |||||||
\(54\) | −4.86381 | + | 8.42437i | −0.661881 | + | 1.14641i | ||||
\(55\) | 7.38324 | − | 0.698406i | 0.995556 | − | 0.0941730i | ||||
\(56\) | 1.39351 | − | 2.24903i | 0.186216 | − | 0.300539i | ||||
\(57\) | −0.372503 | + | 0.372503i | −0.0493392 | + | 0.0493392i | ||||
\(58\) | −1.71514 | − | 6.40098i | −0.225208 | − | 0.840489i | ||||
\(59\) | −12.2623 | + | 7.07963i | −1.59641 | + | 0.921689i | −0.604242 | + | 0.796801i | \(0.706524\pi\) |
−0.992171 | + | 0.124889i | \(0.960143\pi\) | |||||||
\(60\) | 4.14171 | + | 5.37369i | 0.534692 | + | 0.693740i | ||||
\(61\) | −2.80684 | − | 1.62053i | −0.359379 | − | 0.207487i | 0.309429 | − | 0.950922i | \(-0.399862\pi\) |
−0.668808 | + | 0.743435i | \(0.733195\pi\) | |||||||
\(62\) | −2.32437 | + | 2.32437i | −0.295196 | + | 0.295196i | ||||
\(63\) | 4.74104 | − | 15.7203i | 0.597315 | − | 1.98057i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 1.89034 | − | 4.59151i | 0.234468 | − | 0.569507i | ||||
\(66\) | 9.61210 | + | 2.97895i | 1.18317 | + | 0.366684i | ||||
\(67\) | 0.436089 | − | 1.62751i | 0.0532767 | − | 0.198831i | −0.934158 | − | 0.356860i | \(-0.883847\pi\) |
0.987435 | + | 0.158029i | \(0.0505139\pi\) | |||||||
\(68\) | 5.75068 | − | 1.54089i | 0.697373 | − | 0.186860i | ||||
\(69\) | − | 10.6796i | − | 1.28568i | ||||||
\(70\) | −4.58726 | − | 3.73592i | −0.548282 | − | 0.446528i | ||||
\(71\) | −10.7182 | −1.27202 | −0.636008 | − | 0.771682i | \(-0.719416\pi\) | ||||
−0.636008 | + | 0.771682i | \(0.719416\pi\) | |||||||
\(72\) | 1.60624 | + | 5.99458i | 0.189298 | + | 0.706469i | ||||
\(73\) | −2.05631 | + | 7.67425i | −0.240673 | + | 0.898203i | 0.734837 | + | 0.678244i | \(0.237259\pi\) |
−0.975509 | + | 0.219958i | \(0.929408\pi\) | |||||||
\(74\) | 5.79614 | + | 10.0392i | 0.673787 | + | 1.16703i | ||||
\(75\) | 13.1056 | − | 7.64163i | 1.51330 | − | 0.882380i | ||||
\(76\) | 0.173623i | 0.0199160i | ||||||||
\(77\) | −8.75357 | − | 0.612377i | −0.997562 | − | 0.0697869i | ||||
\(78\) | 4.76423 | − | 4.76423i | 0.539443 | − | 0.539443i | ||||
\(79\) | −4.40422 | + | 7.62834i | −0.495514 | + | 0.858255i | −0.999987 | − | 0.00517260i | \(-0.998354\pi\) |
0.504473 | + | 0.863428i | \(0.331687\pi\) | |||||||
\(80\) | 2.21756 | + | 0.287112i | 0.247931 | + | 0.0321001i | ||||
\(81\) | 5.44846 | + | 9.43700i | 0.605384 | + | 1.04856i | ||||
\(82\) | 4.62473 | − | 1.23919i | 0.510716 | − | 0.136846i | ||||
\(83\) | −2.26431 | − | 2.26431i | −0.248540 | − | 0.248540i | 0.571831 | − | 0.820371i | \(-0.306233\pi\) |
−0.820371 | + | 0.571831i | \(0.806233\pi\) | |||||||
\(84\) | −3.79559 | − | 7.07360i | −0.414133 | − | 0.771793i | ||||
\(85\) | −1.76593 | − | 13.1949i | −0.191542 | − | 1.43119i | ||||
\(86\) | 2.61053 | − | 4.52158i | 0.281501 | − | 0.487574i | ||||
\(87\) | −19.4215 | − | 5.20398i | −2.08220 | − | 0.557925i | ||||
\(88\) | 2.93434 | − | 1.54585i | 0.312802 | − | 0.164788i | ||||
\(89\) | 0.191972 | + | 0.110835i | 0.0203490 | + | 0.0117485i | 0.510140 | − | 0.860091i | \(-0.329594\pi\) |
−0.489791 | + | 0.871840i | \(0.662927\pi\) | |||||||
\(90\) | 13.7545 | − | 1.84082i | 1.44985 | − | 0.194040i | ||||
\(91\) | −3.09444 | + | 4.99420i | −0.324385 | + | 0.523534i | ||||
\(92\) | −2.48888 | − | 2.48888i | −0.259484 | − | 0.259484i | ||||
\(93\) | 2.58139 | + | 9.63388i | 0.267678 | + | 0.998987i | ||||
\(94\) | −0.741764 | − | 1.28477i | −0.0765071 | − | 0.132514i | ||||
\(95\) | 0.385020 | + | 0.0498493i | 0.0395022 | + | 0.00511443i | ||||
\(96\) | 2.62765 | + | 1.51707i | 0.268183 | + | 0.154836i | ||||
\(97\) | 7.97257 | + | 7.97257i | 0.809492 | + | 0.809492i | 0.984557 | − | 0.175065i | \(-0.0560136\pi\) |
−0.175065 | + | 0.984557i | \(0.556014\pi\) | |||||||
\(98\) | 4.63236 | + | 5.24797i | 0.467939 | + | 0.530125i | ||||
\(99\) | 15.1071 | − | 13.9800i | 1.51832 | − | 1.40504i | ||||
\(100\) | 1.27338 | − | 4.83513i | 0.127338 | − | 0.483513i | ||||
\(101\) | −10.4760 | + | 6.04831i | −1.04240 | + | 0.601829i | −0.920512 | − | 0.390715i | \(-0.872228\pi\) |
−0.121887 | + | 0.992544i | \(0.538895\pi\) | |||||||
\(102\) | 4.67529 | − | 17.4484i | 0.462923 | − | 1.72765i | ||||
\(103\) | 1.11781 | + | 4.17171i | 0.110141 | + | 0.411050i | 0.998878 | − | 0.0473672i | \(-0.0150831\pi\) |
−0.888737 | + | 0.458418i | \(0.848416\pi\) | |||||||
\(104\) | − | 2.22060i | − | 0.217748i | ||||||
\(105\) | −16.7759 | + | 6.38603i | −1.63716 | + | 0.623213i | ||||
\(106\) | − | 6.73458i | − | 0.654120i | ||||||
\(107\) | −3.81701 | − | 14.2453i | −0.369004 | − | 1.37714i | −0.861911 | − | 0.507060i | \(-0.830732\pi\) |
0.492907 | − | 0.870082i | \(-0.335934\pi\) | |||||||
\(108\) | 9.39617 | + | 2.51770i | 0.904147 | + | 0.242265i | ||||
\(109\) | 6.68805 | + | 11.5840i | 0.640599 | + | 1.10955i | 0.985299 | + | 0.170837i | \(0.0546471\pi\) |
−0.344701 | + | 0.938713i | \(0.612020\pi\) | |||||||
\(110\) | −2.58553 | − | 6.95090i | −0.246521 | − | 0.662742i | ||||
\(111\) | 35.1727 | 3.33844 | ||||||||
\(112\) | −2.53306 | − | 0.763939i | −0.239352 | − | 0.0721854i | ||||
\(113\) | −12.3054 | + | 12.3054i | −1.15759 | + | 1.15759i | −0.172603 | + | 0.984991i | \(0.555218\pi\) |
−0.984991 | + | 0.172603i | \(0.944782\pi\) | |||||||
\(114\) | 0.456221 | + | 0.263399i | 0.0427290 | + | 0.0246696i | ||||
\(115\) | −6.23384 | + | 4.80466i | −0.581308 | + | 0.448037i | ||||
\(116\) | −5.73896 | + | 3.31339i | −0.532849 | + | 0.307641i | ||||
\(117\) | −3.56683 | − | 13.3116i | −0.329754 | − | 1.23066i | ||||
\(118\) | 10.0121 | + | 10.0121i | 0.921689 | + | 0.921689i | ||||
\(119\) | −0.489999 | + | 15.7440i | −0.0449181 | + | 1.44325i | ||||
\(120\) | 4.11863 | − | 5.39140i | 0.375978 | − | 0.492165i | ||||
\(121\) | −9.07210 | − | 6.22069i | −0.824736 | − | 0.565517i | ||||
\(122\) | −0.838847 | + | 3.13062i | −0.0759457 | + | 0.283433i | ||||
\(123\) | 3.75990 | − | 14.0321i | 0.339018 | − | 1.26523i | ||||
\(124\) | 2.84676 | + | 1.64358i | 0.255647 | + | 0.147598i | ||||
\(125\) | −10.3566 | − | 4.21201i | −0.926322 | − | 0.376734i | ||||
\(126\) | −16.4117 | − | 0.510781i | −1.46207 | − | 0.0455040i | ||||
\(127\) | −1.77750 | + | 1.77750i | −0.157728 | + | 0.157728i | −0.781559 | − | 0.623831i | \(-0.785575\pi\) |
0.623831 | + | 0.781559i | \(0.285575\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | −7.92074 | − | 13.7191i | −0.697382 | − | 1.20790i | ||||
\(130\) | −4.92432 | − | 0.637562i | −0.431891 | − | 0.0559179i | ||||
\(131\) | −8.44934 | − | 4.87823i | −0.738223 | − | 0.426213i | 0.0832002 | − | 0.996533i | \(-0.473486\pi\) |
−0.821423 | + | 0.570320i | \(0.806819\pi\) | |||||||
\(132\) | 0.389655 | − | 10.0556i | 0.0339151 | − | 0.875226i | ||||
\(133\) | −0.439799 | − | 0.132638i | −0.0381354 | − | 0.0115011i | ||||
\(134\) | −1.68492 | −0.145555 | ||||||||
\(135\) | 8.28089 | − | 20.1137i | 0.712706 | − | 1.73111i | ||||
\(136\) | −2.97677 | − | 5.15592i | −0.255256 | − | 0.442117i | ||||
\(137\) | 0.818642 | − | 3.05521i | 0.0699413 | − | 0.261024i | −0.922097 | − | 0.386958i | \(-0.873526\pi\) |
0.992039 | + | 0.125933i | \(0.0401926\pi\) | |||||||
\(138\) | −10.3157 | + | 2.76409i | −0.878134 | + | 0.235295i | ||||
\(139\) | −13.6178 | −1.15505 | −0.577524 | − | 0.816373i | \(-0.695981\pi\) | ||||
−0.577524 | + | 0.816373i | \(0.695981\pi\) | |||||||
\(140\) | −2.42135 | + | 5.39788i | −0.204642 | + | 0.456204i | ||||
\(141\) | −4.50124 | −0.379073 | ||||||||
\(142\) | 2.77407 | + | 10.3530i | 0.232795 | + | 0.868803i | ||||
\(143\) | −6.51600 | + | 3.43272i | −0.544895 | + | 0.287059i | ||||
\(144\) | 5.37460 | − | 3.10303i | 0.447883 | − | 0.258585i | ||||
\(145\) | 5.69991 | + | 13.6778i | 0.473352 | + | 1.13588i | ||||
\(146\) | 7.94496 | 0.657530 | ||||||||
\(147\) | 20.8175 | − | 4.21067i | 1.71700 | − | 0.347290i | ||||
\(148\) | 8.19697 | − | 8.19697i | 0.673787 | − | 0.673787i | ||||
\(149\) | 10.1456 | − | 17.5727i | 0.831161 | − | 1.43961i | −0.0659563 | − | 0.997823i | \(-0.521010\pi\) |
0.897118 | − | 0.441791i | \(-0.145657\pi\) | |||||||
\(150\) | −10.7732 | − | 10.6812i | −0.879630 | − | 0.872119i | ||||
\(151\) | −5.57438 | + | 3.21837i | −0.453637 | + | 0.261907i | −0.709365 | − | 0.704841i | \(-0.751018\pi\) |
0.255728 | + | 0.966749i | \(0.417685\pi\) | |||||||
\(152\) | 0.167707 | − | 0.0449370i | 0.0136029 | − | 0.00364487i | ||||
\(153\) | −26.1262 | − | 26.1262i | −2.11218 | − | 2.11218i | ||||
\(154\) | 1.67408 | + | 8.61379i | 0.134901 | + | 0.694119i | ||||
\(155\) | 4.46208 | − | 5.84098i | 0.358403 | − | 0.469159i | ||||
\(156\) | −5.83496 | − | 3.36882i | −0.467171 | − | 0.269721i | ||||
\(157\) | 2.05496 | − | 7.66923i | 0.164004 | − | 0.612071i | −0.834161 | − | 0.551521i | \(-0.814048\pi\) |
0.998165 | − | 0.0605504i | \(-0.0192856\pi\) | |||||||
\(158\) | 8.50830 | + | 2.27979i | 0.676884 | + | 0.181371i | ||||
\(159\) | −17.6961 | − | 10.2169i | −1.40339 | − | 0.810249i | ||||
\(160\) | −0.296618 | − | 2.21631i | −0.0234497 | − | 0.175214i | ||||
\(161\) | 8.20585 | − | 4.40314i | 0.646712 | − | 0.347016i | ||||
\(162\) | 7.70528 | − | 7.70528i | 0.605384 | − | 0.605384i | ||||
\(163\) | −1.75132 | − | 6.53602i | −0.137174 | − | 0.511941i | −0.999979 | − | 0.00640458i | \(-0.997961\pi\) |
0.862805 | − | 0.505536i | \(-0.168705\pi\) | |||||||
\(164\) | −2.39394 | − | 4.14642i | −0.186935 | − | 0.323781i | ||||
\(165\) | −22.1870 | − | 3.75116i | −1.72725 | − | 0.292027i | ||||
\(166\) | −1.60111 | + | 2.77320i | −0.124270 | + | 0.215242i | ||||
\(167\) | 5.38564 | − | 5.38564i | 0.416753 | − | 0.416753i | −0.467330 | − | 0.884083i | \(-0.654784\pi\) |
0.884083 | + | 0.467330i | \(0.154784\pi\) | |||||||
\(168\) | −5.85020 | + | 5.49704i | −0.451353 | + | 0.424106i | ||||
\(169\) | − | 8.06892i | − | 0.620686i | ||||||
\(170\) | −12.2882 | + | 5.12084i | −0.942464 | + | 0.392751i | ||||
\(171\) | 0.933156 | − | 0.538758i | 0.0713602 | − | 0.0411998i | ||||
\(172\) | −5.04316 | − | 1.35131i | −0.384538 | − | 0.103037i | ||||
\(173\) | 13.9833 | − | 3.74680i | 1.06313 | − | 0.284864i | 0.315461 | − | 0.948939i | \(-0.397841\pi\) |
0.747666 | + | 0.664075i | \(0.231174\pi\) | |||||||
\(174\) | 20.1066i | 1.52428i | ||||||||
\(175\) | 11.2749 | + | 6.91928i | 0.852303 | + | 0.523049i | ||||
\(176\) | −2.25264 | − | 2.43426i | −0.169799 | − | 0.183489i | ||||
\(177\) | 41.4974 | − | 11.1192i | 3.11914 | − | 0.835770i | ||||
\(178\) | 0.0573725 | − | 0.214117i | 0.00430025 | − | 0.0160488i | ||||
\(179\) | 21.0192 | − | 12.1354i | 1.57105 | − | 0.907046i | 0.575009 | − | 0.818147i | \(-0.304998\pi\) |
0.996041 | − | 0.0888993i | \(-0.0283349\pi\) | |||||||
\(180\) | −5.33803 | − | 12.8094i | −0.397873 | − | 0.954756i | ||||
\(181\) | 7.62742 | 0.566942 | 0.283471 | − | 0.958981i | \(-0.408514\pi\) | ||||
0.283471 | + | 0.958981i | \(0.408514\pi\) | |||||||
\(182\) | 5.62492 | + | 1.69640i | 0.416947 | + | 0.125746i | ||||
\(183\) | 6.95358 | + | 6.95358i | 0.514023 | + | 0.514023i | ||||
\(184\) | −1.75991 | + | 3.04825i | −0.129742 | + | 0.224720i | ||||
\(185\) | −15.8238 | − | 20.5307i | −1.16339 | − | 1.50945i | ||||
\(186\) | 8.63750 | − | 4.98687i | 0.633333 | − | 0.365655i | ||||
\(187\) | −10.5276 | + | 16.7051i | −0.769852 | + | 1.22160i | ||||
\(188\) | −1.04901 | + | 1.04901i | −0.0765071 | + | 0.0765071i | ||||
\(189\) | −13.5556 | + | 21.8777i | −0.986023 | + | 1.59137i | ||||
\(190\) | −0.0514997 | − | 0.384803i | −0.00373618 | − | 0.0279165i | ||||
\(191\) | −6.84090 | + | 11.8488i | −0.494990 | + | 0.857348i | −0.999983 | − | 0.00577514i | \(-0.998162\pi\) |
0.504993 | + | 0.863123i | \(0.331495\pi\) | |||||||
\(192\) | 0.785295 | − | 2.93076i | 0.0566738 | − | 0.211509i | ||||
\(193\) | −3.52203 | + | 13.1444i | −0.253521 | + | 0.946153i | 0.715386 | + | 0.698729i | \(0.246251\pi\) |
−0.968907 | + | 0.247424i | \(0.920416\pi\) | |||||||
\(194\) | 5.63746 | − | 9.76436i | 0.404746 | − | 0.701040i | ||||
\(195\) | −9.14584 | + | 11.9721i | −0.654947 | + | 0.857343i | ||||
\(196\) | 3.87021 | − | 5.83280i | 0.276443 | − | 0.416628i | ||||
\(197\) | 12.6533 | − | 12.6533i | 0.901511 | − | 0.901511i | −0.0940555 | − | 0.995567i | \(-0.529983\pi\) |
0.995567 | + | 0.0940555i | \(0.0299831\pi\) | |||||||
\(198\) | −17.4137 | − | 10.9741i | −1.23753 | − | 0.779894i | ||||
\(199\) | −12.6332 | + | 7.29381i | −0.895547 | + | 0.517044i | −0.875753 | − | 0.482760i | \(-0.839634\pi\) |
−0.0197941 | + | 0.999804i | \(0.506301\pi\) | |||||||
\(200\) | −4.99995 | + | 0.0214386i | −0.353550 | + | 0.00151594i | ||||
\(201\) | −2.55614 | + | 4.42737i | −0.180297 | + | 0.312283i | ||||
\(202\) | 8.55360 | + | 8.55360i | 0.601829 | + | 0.601829i | ||||
\(203\) | −4.00881 | − | 17.0684i | −0.281363 | − | 1.19796i | ||||
\(204\) | −18.0639 | −1.26473 | ||||||||
\(205\) | −9.88226 | + | 4.11821i | −0.690207 | + | 0.287628i | ||||
\(206\) | 3.74025 | − | 2.15943i | 0.260595 | − | 0.150455i | ||||
\(207\) | −5.65368 | + | 21.0998i | −0.392958 | + | 1.46654i | ||||
\(208\) | −2.14494 | + | 0.574734i | −0.148725 | + | 0.0398507i | ||||
\(209\) | −0.391111 | − | 0.422644i | −0.0270537 | − | 0.0292349i | ||||
\(210\) | 10.5104 | + | 14.5514i | 0.725283 | + | 1.00414i | ||||
\(211\) | − | 3.56375i | − | 0.245338i | −0.992448 | − | 0.122669i | \(-0.960855\pi\) | ||
0.992448 | − | 0.122669i | \(-0.0391454\pi\) | |||||||
\(212\) | −6.50511 | + | 1.74304i | −0.446772 | + | 0.119712i | ||||
\(213\) | 31.4125 | + | 8.41695i | 2.15235 | + | 0.576720i | ||||
\(214\) | −12.7720 | + | 7.37389i | −0.873073 | + | 0.504069i | ||||
\(215\) | −4.44456 | + | 10.7955i | −0.303117 | + | 0.736249i | ||||
\(216\) | − | 9.72763i | − | 0.661881i | ||||||
\(217\) | −6.33804 | + | 5.95543i | −0.430254 | + | 0.404281i | ||||
\(218\) | 9.45833 | − | 9.45833i | 0.640599 | − | 0.640599i | ||||
\(219\) | 12.0531 | − | 20.8766i | 0.814473 | − | 1.41071i | ||||
\(220\) | −6.04487 | + | 4.29646i | −0.407545 | + | 0.289667i | ||||
\(221\) | 6.61023 | + | 11.4493i | 0.444652 | + | 0.770160i | ||||
\(222\) | −9.10335 | − | 33.9742i | −0.610977 | − | 2.28020i | ||||
\(223\) | −12.9561 | + | 12.9561i | −0.867603 | + | 0.867603i | −0.992207 | − | 0.124604i | \(-0.960234\pi\) |
0.124604 | + | 0.992207i | \(0.460234\pi\) | |||||||
\(224\) | −0.0823037 | + | 2.64447i | −0.00549915 | + | 0.176691i | ||||
\(225\) | −29.9382 | + | 8.15966i | −1.99588 | + | 0.543977i | ||||
\(226\) | 15.0710 | + | 8.70123i | 1.00251 | + | 0.578797i | ||||
\(227\) | 20.7994 | + | 5.57318i | 1.38050 | + | 0.369905i | 0.871304 | − | 0.490744i | \(-0.163275\pi\) |
0.509199 | + | 0.860649i | \(0.329942\pi\) | |||||||
\(228\) | 0.136346 | − | 0.508849i | 0.00902971 | − | 0.0336993i | ||||
\(229\) | −3.96454 | − | 2.28893i | −0.261984 | − | 0.151257i | 0.363255 | − | 0.931690i | \(-0.381665\pi\) |
−0.625239 | + | 0.780433i | \(0.714999\pi\) | |||||||
\(230\) | 6.25438 | + | 4.77789i | 0.412402 | + | 0.315045i | ||||
\(231\) | 25.1737 | + | 8.66887i | 1.65631 | + | 0.570370i | ||||
\(232\) | 4.68584 | + | 4.68584i | 0.307641 | + | 0.307641i | ||||
\(233\) | −24.8878 | + | 6.66867i | −1.63046 | + | 0.436879i | −0.954050 | − | 0.299649i | \(-0.903130\pi\) |
−0.676407 | + | 0.736528i | \(0.736464\pi\) | |||||||
\(234\) | −11.9348 | + | 6.89059i | −0.780205 | + | 0.450452i | ||||
\(235\) | 2.02506 | + | 2.62743i | 0.132101 | + | 0.171395i | ||||
\(236\) | 7.07963 | − | 12.2623i | 0.460845 | − | 0.798207i | ||||
\(237\) | 18.8982 | − | 18.8982i | 1.22757 | − | 1.22757i | ||||
\(238\) | 15.3343 | − | 3.60154i | 0.993977 | − | 0.233453i | ||||
\(239\) | −1.13070 | −0.0731389 | −0.0365695 | − | 0.999331i | \(-0.511643\pi\) | ||||
−0.0365695 | + | 0.999331i | \(0.511643\pi\) | |||||||
\(240\) | −6.27367 | − | 2.58289i | −0.404964 | − | 0.166725i | ||||
\(241\) | 19.2028 | − | 11.0867i | 1.23696 | − | 0.714160i | 0.268490 | − | 0.963283i | \(-0.413475\pi\) |
0.968472 | + | 0.249122i | \(0.0801422\pi\) | |||||||
\(242\) | −3.66069 | + | 10.3730i | −0.235318 | + | 0.666802i | ||||
\(243\) | −1.00420 | − | 3.74774i | −0.0644197 | − | 0.240418i | ||||
\(244\) | 3.24106 | 0.207487 | ||||||||
\(245\) | −11.8234 | − | 10.2571i | −0.755368 | − | 0.655301i | ||||
\(246\) | −14.5271 | −0.926215 | ||||||||
\(247\) | −0.372411 | + | 0.0997873i | −0.0236960 | + | 0.00634931i | ||||
\(248\) | 0.850780 | − | 3.17515i | 0.0540246 | − | 0.201622i | ||||
\(249\) | 4.85800 | + | 8.41431i | 0.307863 | + | 0.533235i | ||||
\(250\) | −1.38801 | + | 11.0938i | −0.0877852 | + | 0.701636i | ||||
\(251\) | 7.78989 | 0.491693 | 0.245847 | − | 0.969309i | \(-0.420934\pi\) | ||||
0.245847 | + | 0.969309i | \(0.420934\pi\) | |||||||
\(252\) | 3.75429 | + | 15.9847i | 0.236498 | + | 1.00694i | ||||
\(253\) | 11.6651 | + | 0.452026i | 0.733382 | + | 0.0284186i | ||||
\(254\) | 2.17699 | + | 1.25688i | 0.136596 | + | 0.0788639i | ||||
\(255\) | −5.18637 | + | 40.0578i | −0.324783 | + | 2.50852i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −3.79149 | + | 1.01593i | −0.236507 | + | 0.0633718i | −0.375126 | − | 0.926974i | \(-0.622400\pi\) |
0.138619 | + | 0.990346i | \(0.455734\pi\) | |||||||
\(258\) | −11.2016 | + | 11.2016i | −0.697382 | + | 0.697382i | ||||
\(259\) | 14.5014 | + | 27.0254i | 0.901076 | + | 1.67928i | ||||
\(260\) | 0.658670 | + | 4.92154i | 0.0408490 | + | 0.305221i | ||||
\(261\) | 35.6163 | + | 20.5631i | 2.20459 | + | 1.27282i | ||||
\(262\) | −2.52516 | + | 9.42402i | −0.156005 | + | 0.582218i | ||||
\(263\) | 7.67621 | − | 28.6480i | 0.473336 | − | 1.76651i | −0.154319 | − | 0.988021i | \(-0.549318\pi\) |
0.627655 | − | 0.778492i | \(-0.284015\pi\) | |||||||
\(264\) | −9.81380 | + | 2.22620i | −0.603997 | + | 0.137013i | ||||
\(265\) | 1.99760 | + | 14.9259i | 0.122711 | + | 0.916891i | ||||
\(266\) | −0.0142898 | + | 0.459142i | −0.000876166 | + | 0.0281518i | ||||
\(267\) | −0.475586 | − | 0.475586i | −0.0291054 | − | 0.0291054i | ||||
\(268\) | 0.436089 | + | 1.62751i | 0.0266384 | + | 0.0994157i | ||||
\(269\) | 1.31311 | − | 0.758122i | 0.0800615 | − | 0.0462235i | −0.459435 | − | 0.888211i | \(-0.651948\pi\) |
0.539496 | + | 0.841988i | \(0.318615\pi\) | |||||||
\(270\) | −21.5716 | − | 2.79292i | −1.31281 | − | 0.169972i | ||||
\(271\) | −9.20142 | − | 5.31244i | −0.558947 | − | 0.322708i | 0.193776 | − | 0.981046i | \(-0.437927\pi\) |
−0.752723 | + | 0.658338i | \(0.771260\pi\) | |||||||
\(272\) | −4.20979 | + | 4.20979i | −0.255256 | + | 0.255256i | ||||
\(273\) | 12.9910 | − | 12.2067i | 0.786250 | − | 0.738786i | ||||
\(274\) | −3.16299 | −0.191083 | ||||||||
\(275\) | 7.79209 | + | 14.6384i | 0.469881 | + | 0.882730i | ||||
\(276\) | 5.33982 | + | 9.24884i | 0.321419 | + | 0.556715i | ||||
\(277\) | 11.9243 | + | 3.19511i | 0.716461 | + | 0.191975i | 0.598592 | − | 0.801054i | \(-0.295727\pi\) |
0.117869 | + | 0.993029i | \(0.462394\pi\) | |||||||
\(278\) | 3.52455 | + | 13.1538i | 0.211389 | + | 0.788913i | ||||
\(279\) | − | 20.4003i | − | 1.22133i | ||||||
\(280\) | 5.84064 | + | 0.941772i | 0.349045 | + | 0.0562817i | ||||
\(281\) | − | 14.5160i | − | 0.865950i | −0.901406 | − | 0.432975i | \(-0.857464\pi\) | ||
0.901406 | − | 0.432975i | \(-0.142536\pi\) | |||||||
\(282\) | 1.16501 | + | 4.34787i | 0.0693752 | + | 0.258912i | ||||
\(283\) | −1.82776 | + | 6.82129i | −0.108649 | + | 0.405484i | −0.998734 | − | 0.0503119i | \(-0.983978\pi\) |
0.890085 | + | 0.455795i | \(0.150645\pi\) | |||||||
\(284\) | 9.28223 | − | 5.35910i | 0.550799 | − | 0.318004i | ||||
\(285\) | −1.08926 | − | 0.448451i | −0.0645219 | − | 0.0265639i | ||||
\(286\) | 5.00222 | + | 5.40552i | 0.295787 | + | 0.319635i | ||||
\(287\) | 12.3320 | − | 2.89638i | 0.727933 | − | 0.170968i | ||||
\(288\) | −4.38834 | − | 4.38834i | −0.258585 | − | 0.258585i | ||||
\(289\) | 15.9736 | + | 9.22234i | 0.939622 | + | 0.542491i | ||||
\(290\) | 11.7365 | − | 9.04577i | 0.689190 | − | 0.531186i | ||||
\(291\) | −17.1049 | − | 29.6265i | −1.00271 | − | 1.73674i | ||||
\(292\) | −2.05631 | − | 7.67425i | −0.120336 | − | 0.449101i | ||||
\(293\) | −22.8571 | − | 22.8571i | −1.33533 | − | 1.33533i | −0.900527 | − | 0.434800i | \(-0.856819\pi\) |
−0.434800 | − | 0.900527i | \(-0.643181\pi\) | |||||||
\(294\) | −9.45515 | − | 19.0183i | −0.551435 | − | 1.10917i | ||||
\(295\) | −25.1597 | − | 19.2201i | −1.46485 | − | 1.11904i | ||||
\(296\) | −10.0392 | − | 5.79614i | −0.583517 | − | 0.336894i | ||||
\(297\) | −28.5442 | + | 15.0375i | −1.65630 | + | 0.872562i | ||||
\(298\) | −19.5998 | − | 5.25176i | −1.13539 | − | 0.304226i | ||||
\(299\) | 3.90806 | − | 6.76895i | 0.226009 | − | 0.391458i | ||||
\(300\) | −7.52897 | + | 13.1706i | −0.434685 | + | 0.760408i | ||||
\(301\) | 7.27562 | − | 11.7423i | 0.419360 | − | 0.676816i | ||||
\(302\) | 4.55147 | + | 4.55147i | 0.261907 | + | 0.261907i | ||||
\(303\) | 35.4523 | − | 9.49942i | 2.03668 | − | 0.545727i | ||||
\(304\) | −0.0868117 | − | 0.150362i | −0.00497899 | − | 0.00862387i | ||||
\(305\) | 0.930546 | − | 7.18723i | 0.0532829 | − | 0.411540i | ||||
\(306\) | −18.4740 | + | 31.9979i | −1.05609 | + | 1.82920i | ||||
\(307\) | −11.0798 | + | 11.0798i | −0.632358 | + | 0.632358i | −0.948659 | − | 0.316301i | \(-0.897559\pi\) |
0.316301 | + | 0.948659i | \(0.397559\pi\) | |||||||
\(308\) | 7.88700 | − | 3.84645i | 0.449404 | − | 0.219172i | ||||
\(309\) | − | 13.1041i | − | 0.745465i | ||||||
\(310\) | −6.79682 | − | 2.79828i | −0.386033 | − | 0.158932i | ||||
\(311\) | 2.71169 | + | 4.69678i | 0.153766 | + | 0.266330i | 0.932609 | − | 0.360889i | \(-0.117527\pi\) |
−0.778843 | + | 0.627219i | \(0.784193\pi\) | |||||||
\(312\) | −1.74383 | + | 6.50806i | −0.0987249 | + | 0.368446i | ||||
\(313\) | 7.45027 | + | 27.8048i | 0.421114 | + | 1.57162i | 0.772266 | + | 0.635300i | \(0.219124\pi\) |
−0.351152 | + | 0.936319i | \(0.614210\pi\) | |||||||
\(314\) | −7.93977 | −0.448067 | ||||||||
\(315\) | 36.5249 | − | 3.73596i | 2.05795 | − | 0.210497i | ||||
\(316\) | − | 8.80844i | − | 0.495514i | ||||||
\(317\) | −11.0514 | + | 2.96122i | −0.620709 | + | 0.166319i | −0.555450 | − | 0.831550i | \(-0.687454\pi\) |
−0.0652590 | + | 0.997868i | \(0.520787\pi\) | |||||||
\(318\) | −5.28863 | + | 19.7374i | −0.296572 | + | 1.10682i | ||||
\(319\) | 6.50623 | − | 20.9935i | 0.364279 | − | 1.17541i | ||||
\(320\) | −2.06402 | + | 0.860133i | −0.115382 | + | 0.0480829i | ||||
\(321\) | 44.7469i | 2.49753i | ||||||||
\(322\) | −6.37694 | − | 6.78663i | −0.355373 | − | 0.378204i | ||||
\(323\) | −0.730918 | + | 0.730918i | −0.0406694 | + | 0.0406694i | ||||
\(324\) | −9.43700 | − | 5.44846i | −0.524278 | − | 0.302692i | ||||
\(325\) | 11.1029 | − | 0.0476065i | 0.615879 | − | 0.00264074i | ||||
\(326\) | −5.86004 | + | 3.38329i | −0.324558 | + | 0.187383i | ||||
\(327\) | −10.5042 | − | 39.2021i | −0.580883 | − | 2.16788i | ||||
\(328\) | −3.38554 | + | 3.38554i | −0.186935 | + | 0.186935i | ||||
\(329\) | −1.85583 | − | 3.45859i | −0.102315 | − | 0.190678i | ||||
\(330\) | 2.11907 | + | 22.4018i | 0.116651 | + | 1.23318i | ||||
\(331\) | −1.64939 | + | 2.85683i | −0.0906586 | + | 0.157025i | −0.907788 | − | 0.419428i | \(-0.862231\pi\) |
0.817130 | + | 0.576454i | \(0.195564\pi\) | |||||||
\(332\) | 3.09311 | + | 0.828795i | 0.169756 | + | 0.0454860i | ||||
\(333\) | −69.4909 | − | 18.6200i | −3.80808 | − | 1.02037i | ||||
\(334\) | −6.59603 | − | 3.80822i | −0.360919 | − | 0.208377i | ||||
\(335\) | 3.73430 | − | 0.499776i | 0.204026 | − | 0.0273057i | ||||
\(336\) | 6.82388 | + | 4.22812i | 0.372273 | + | 0.230663i | ||||
\(337\) | −11.5468 | + | 11.5468i | −0.628993 | + | 0.628993i | −0.947815 | − | 0.318821i | \(-0.896713\pi\) |
0.318821 | + | 0.947815i | \(0.396713\pi\) | |||||||
\(338\) | −7.79398 | + | 2.08839i | −0.423937 | + | 0.113593i | ||||
\(339\) | 45.7275 | − | 26.4008i | 2.48358 | − | 1.43390i | ||||
\(340\) | 8.12678 | + | 10.5441i | 0.440736 | + | 0.571836i | ||||
\(341\) | −10.6322 | + | 2.41184i | −0.575764 | + | 0.130608i | ||||
\(342\) | −0.761918 | − | 0.761918i | −0.0411998 | − | 0.0411998i | ||||
\(343\) | 11.8182 | + | 14.2594i | 0.638124 | + | 0.769933i | ||||
\(344\) | 5.22107i | 0.281501i | ||||||||
\(345\) | 22.0430 | − | 9.18591i | 1.18675 | − | 0.494553i | ||||
\(346\) | −7.23827 | − | 12.5370i | −0.389132 | − | 0.673996i | ||||
\(347\) | −28.9808 | − | 7.76538i | −1.55577 | − | 0.416868i | −0.624449 | − | 0.781065i | \(-0.714677\pi\) |
−0.931322 | + | 0.364198i | \(0.881343\pi\) | |||||||
\(348\) | 19.4215 | − | 5.20398i | 1.04110 | − | 0.278962i | ||||
\(349\) | −8.29717 | −0.444137 | −0.222069 | − | 0.975031i | \(-0.571281\pi\) | ||||
−0.222069 | + | 0.975031i | \(0.571281\pi\) | |||||||
\(350\) | 3.76535 | − | 12.6816i | 0.201267 | − | 0.677858i | ||||
\(351\) | 21.6012i | 1.15299i | ||||||||
\(352\) | −1.76829 | + | 2.80592i | −0.0942500 | + | 0.149556i | ||||
\(353\) | 24.4459 | + | 6.55027i | 1.30113 | + | 0.348636i | 0.841876 | − | 0.539671i | \(-0.181452\pi\) |
0.459250 | + | 0.888307i | \(0.348118\pi\) | |||||||
\(354\) | −21.4806 | − | 37.2056i | −1.14168 | − | 1.97745i | ||||
\(355\) | −9.21908 | − | 22.1226i | −0.489298 | − | 1.17414i | ||||
\(356\) | −0.221670 | −0.0117485 | ||||||||
\(357\) | 13.7997 | − | 45.7570i | 0.730359 | − | 2.42172i | ||||
\(358\) | −17.1621 | − | 17.1621i | −0.907046 | − | 0.907046i | ||||
\(359\) | −9.78988 | + | 16.9566i | −0.516690 | + | 0.894933i | 0.483122 | + | 0.875553i | \(0.339503\pi\) |
−0.999812 | + | 0.0193804i | \(0.993831\pi\) | |||||||
\(360\) | −10.9913 | + | 8.47146i | −0.579295 | + | 0.446485i | ||||
\(361\) | 9.48493 | + | 16.4284i | 0.499207 | + | 0.864651i | ||||
\(362\) | −1.97412 | − | 7.36753i | −0.103758 | − | 0.387229i | ||||
\(363\) | 21.7031 | + | 25.3556i | 1.13912 | + | 1.33083i | ||||
\(364\) | 0.182764 | − | 5.87232i | 0.00957942 | − | 0.307793i | ||||
\(365\) | −17.6085 | + | 2.35662i | −0.921670 | + | 0.123351i | ||||
\(366\) | 4.91692 | − | 8.51636i | 0.257012 | − | 0.445157i | ||||
\(367\) | −0.955476 | + | 3.56588i | −0.0498754 | + | 0.186138i | −0.986369 | − | 0.164546i | \(-0.947384\pi\) |
0.936494 | + | 0.350684i | \(0.114051\pi\) | |||||||
\(368\) | 3.39988 | + | 0.910995i | 0.177231 | + | 0.0474889i | ||||
\(369\) | −14.8569 | + | 25.7329i | −0.773419 | + | 1.33960i | ||||
\(370\) | −15.7356 | + | 20.5984i | −0.818057 | + | 1.07086i | ||||
\(371\) | 0.554281 | − | 17.8094i | 0.0287768 | − | 0.924618i | ||||
\(372\) | −7.05249 | − | 7.05249i | −0.365655 | − | 0.365655i | ||||
\(373\) | 8.98030 | − | 2.40626i | 0.464982 | − | 0.124592i | −0.0187190 | − | 0.999825i | \(-0.505959\pi\) |
0.483701 | + | 0.875233i | \(0.339292\pi\) | |||||||
\(374\) | 18.8607 | + | 5.84525i | 0.975262 | + | 0.302250i | ||||
\(375\) | 27.0450 | + | 20.4774i | 1.39660 | + | 1.05745i | ||||
\(376\) | 1.28477 | + | 0.741764i | 0.0662571 | + | 0.0382535i | ||||
\(377\) | −10.4054 | − | 10.4054i | −0.535905 | − | 0.535905i | ||||
\(378\) | 24.6407 | + | 7.43131i | 1.26738 | + | 0.382225i | ||||
\(379\) | − | 1.64295i | − | 0.0843928i | −0.999109 | − | 0.0421964i | \(-0.986564\pi\) | ||
0.999109 | − | 0.0421964i | \(-0.0134355\pi\) | |||||||
\(380\) | −0.358362 | + | 0.149339i | −0.0183836 | + | 0.00766094i | ||||
\(381\) | 6.60530 | − | 3.81357i | 0.338400 | − | 0.195375i | ||||
\(382\) | 13.2156 | + | 3.54111i | 0.676169 | + | 0.181179i | ||||
\(383\) | −4.30896 | − | 16.0813i | −0.220178 | − | 0.821714i | −0.984279 | − | 0.176619i | \(-0.943484\pi\) |
0.764102 | − | 0.645096i | \(-0.223183\pi\) | |||||||
\(384\) | −3.03415 | −0.154836 | ||||||||
\(385\) | −6.26528 | − | 18.5943i | −0.319308 | − | 0.947651i | ||||
\(386\) | 13.6081 | 0.692632 | ||||||||
\(387\) | 8.38631 | + | 31.2981i | 0.426300 | + | 1.59097i | ||||
\(388\) | −10.8907 | − | 2.91816i | −0.552893 | − | 0.148147i | ||||
\(389\) | −10.4826 | + | 6.05215i | −0.531491 | + | 0.306856i | −0.741623 | − | 0.670817i | \(-0.765944\pi\) |
0.210133 | + | 0.977673i | \(0.432610\pi\) | |||||||
\(390\) | 13.9313 | + | 5.73558i | 0.705440 | + | 0.290433i | ||||
\(391\) | − | 20.9554i | − | 1.05976i | ||||||
\(392\) | −6.63573 | − | 2.22869i | −0.335155 | − | 0.112566i | ||||
\(393\) | 20.9322 | + | 20.9322i | 1.05589 | + | 1.05589i | ||||
\(394\) | −15.4971 | − | 8.94725i | −0.780732 | − | 0.450756i | ||||
\(395\) | −19.5332 | − | 2.52901i | −0.982824 | − | 0.127248i | ||||
\(396\) | −6.09316 | + | 19.6606i | −0.306193 | + | 0.987982i | ||||
\(397\) | −4.16274 | + | 1.11540i | −0.208922 | + | 0.0559805i | −0.361762 | − | 0.932270i | \(-0.617825\pi\) |
0.152840 | + | 0.988251i | \(0.451158\pi\) | |||||||
\(398\) | 10.3150 | + | 10.3150i | 0.517044 | + | 0.517044i | ||||
\(399\) | 1.18478 | + | 0.734101i | 0.0593134 | + | 0.0367510i | ||||
\(400\) | 1.31479 | + | 4.82404i | 0.0657396 | + | 0.241202i | ||||
\(401\) | 14.5822 | − | 25.2571i | 0.728201 | − | 1.26128i | −0.229442 | − | 0.973322i | \(-0.573690\pi\) |
0.957643 | − | 0.287958i | \(-0.0929765\pi\) | |||||||
\(402\) | 4.93809 | + | 1.32316i | 0.246290 | + | 0.0659931i | ||||
\(403\) | −1.88924 | + | 7.05076i | −0.0941100 | + | 0.351223i | ||||
\(404\) | 6.04831 | − | 10.4760i | 0.300915 | − | 0.521200i | ||||
\(405\) | −14.7917 | + | 19.3628i | −0.735008 | + | 0.962145i | ||||
\(406\) | −15.4492 | + | 8.28982i | −0.766732 | + | 0.411417i | ||||
\(407\) | −1.48872 | + | 38.4184i | −0.0737930 | + | 1.90433i | ||||
\(408\) | 4.67529 | + | 17.4484i | 0.231461 | + | 0.863825i | ||||
\(409\) | 7.10664 | + | 12.3091i | 0.351401 | + | 0.608644i | 0.986495 | − | 0.163791i | \(-0.0523722\pi\) |
−0.635095 | + | 0.772434i | \(0.719039\pi\) | |||||||
\(410\) | 6.53560 | + | 8.47966i | 0.322770 | + | 0.418781i | ||||
\(411\) | −4.79849 | + | 8.31123i | −0.236692 | + | 0.409963i | ||||
\(412\) | −3.05390 | − | 3.05390i | −0.150455 | − | 0.150455i | ||||
\(413\) | 25.6527 | + | 27.3008i | 1.26229 | + | 1.34338i | ||||
\(414\) | 21.8441 | 1.07358 | ||||||||
\(415\) | 2.72597 | − | 6.62119i | 0.133813 | − | 0.325021i | ||||
\(416\) | 1.11030 | + | 1.92310i | 0.0544370 | + | 0.0942877i | ||||
\(417\) | 39.9106 | + | 10.6940i | 1.95443 | + | 0.523688i | ||||
\(418\) | −0.307016 | + | 0.487172i | −0.0150166 | + | 0.0238284i | ||||
\(419\) | − | 18.0151i | − | 0.880097i | −0.897974 | − | 0.440048i | \(-0.854961\pi\) | ||
0.897974 | − | 0.440048i | \(-0.145039\pi\) | |||||||
\(420\) | 11.3353 | − | 13.9184i | 0.553107 | − | 0.679149i | ||||
\(421\) | −10.5777 | −0.515527 | −0.257763 | − | 0.966208i | \(-0.582985\pi\) | ||||
−0.257763 | + | 0.966208i | \(0.582985\pi\) | |||||||
\(422\) | −3.44231 | + | 0.922365i | −0.167569 | + | 0.0449000i | ||||
\(423\) | 8.89313 | + | 2.38291i | 0.432399 | + | 0.115861i | ||||
\(424\) | 3.36729 | + | 5.83232i | 0.163530 | + | 0.283242i | ||||
\(425\) | 25.7155 | − | 14.9943i | 1.24739 | − | 0.727328i | ||||
\(426\) | − | 32.5206i | − | 1.57563i | ||||||
\(427\) | −2.47597 | + | 8.20979i | −0.119821 | + | 0.397300i | ||||
\(428\) | 10.4283 | + | 10.4283i | 0.504069 | + | 0.504069i | ||||
\(429\) | 21.7925 | − | 4.94350i | 1.05215 | − | 0.238675i | ||||
\(430\) | 11.5780 | + | 1.49903i | 0.558342 | + | 0.0722897i | ||||
\(431\) | −16.2778 | + | 9.39799i | −0.784074 | + | 0.452685i | −0.837872 | − | 0.545867i | \(-0.816201\pi\) |
0.0537982 | + | 0.998552i | \(0.482867\pi\) | |||||||
\(432\) | −9.39617 | + | 2.51770i | −0.452073 | + | 0.121133i | ||||
\(433\) | −0.462481 | + | 0.462481i | −0.0222254 | + | 0.0222254i | −0.718132 | − | 0.695907i | \(-0.755003\pi\) |
0.695907 | + | 0.718132i | \(0.255003\pi\) | |||||||
\(434\) | 7.39291 | + | 4.58070i | 0.354871 | + | 0.219881i | ||||
\(435\) | −5.96398 | − | 44.5625i | −0.285951 | − | 2.13661i | ||||
\(436\) | −11.5840 | − | 6.68805i | −0.554775 | − | 0.320299i | ||||
\(437\) | 0.590299 | + | 0.158170i | 0.0282378 | + | 0.00756630i | ||||
\(438\) | −23.2848 | − | 6.23914i | −1.11259 | − | 0.298118i | ||||
\(439\) | 14.4458 | − | 25.0209i | 0.689461 | − | 1.19418i | −0.282551 | − | 0.959252i | \(-0.591181\pi\) |
0.972012 | − | 0.234929i | \(-0.0754859\pi\) | |||||||
\(440\) | 5.71459 | + | 4.72689i | 0.272432 | + | 0.225346i | ||||
\(441\) | −43.3583 | − | 2.70149i | −2.06468 | − | 0.128642i | ||||
\(442\) | 9.34828 | − | 9.34828i | 0.444652 | − | 0.444652i | ||||
\(443\) | 5.06677 | + | 18.9094i | 0.240730 | + | 0.898415i | 0.975482 | + | 0.220079i | \(0.0706317\pi\) |
−0.734752 | + | 0.678335i | \(0.762702\pi\) | |||||||
\(444\) | −30.4604 | + | 17.5863i | −1.44559 | + | 0.834610i | ||||
\(445\) | −0.0636442 | + | 0.491567i | −0.00301703 | + | 0.0233025i | ||||
\(446\) | 15.8679 | + | 9.16133i | 0.751366 | + | 0.433801i | ||||
\(447\) | −43.5342 | + | 43.5342i | −2.05910 | + | 2.05910i | ||||
\(448\) | 2.57566 | − | 0.604940i | 0.121689 | − | 0.0285807i | ||||
\(449\) | 31.8378i | 1.50252i | 0.660008 | + | 0.751259i | \(0.270553\pi\) | ||||
−0.660008 | + | 0.751259i | \(0.729447\pi\) | |||||||
\(450\) | 15.6302 | + | 26.8062i | 0.736815 | + | 1.26366i | ||||
\(451\) | 15.1679 | + | 4.70078i | 0.714227 | + | 0.221351i | ||||
\(452\) | 4.50409 | − | 16.8095i | 0.211854 | − | 0.790652i | ||||
\(453\) | 18.8646 | − | 5.05474i | 0.886334 | − | 0.237493i | ||||
\(454\) | − | 21.5331i | − | 1.01060i | ||||||
\(455\) | −12.9697 | − | 2.09130i | −0.608031 | − | 0.0980418i | ||||
\(456\) | −0.526799 | −0.0246696 | ||||||||
\(457\) | −3.05364 | − | 11.3964i | −0.142843 | − | 0.533099i | −0.999842 | − | 0.0177800i | \(-0.994340\pi\) |
0.856999 | − | 0.515319i | \(-0.172327\pi\) | |||||||
\(458\) | −1.18484 | + | 4.42187i | −0.0553638 | + | 0.206620i | ||||
\(459\) | 28.9569 | + | 50.1549i | 1.35159 | + | 2.34103i | ||||
\(460\) | 2.99633 | − | 7.27788i | 0.139705 | − | 0.339333i | ||||
\(461\) | − | 25.8772i | − | 1.20522i | −0.798035 | − | 0.602611i | \(-0.794127\pi\) | ||
0.798035 | − | 0.602611i | \(-0.205873\pi\) | |||||||
\(462\) | 1.85804 | − | 26.5596i | 0.0864440 | − | 1.23567i | ||||
\(463\) | −9.58794 | + | 9.58794i | −0.445589 | + | 0.445589i | −0.893885 | − | 0.448296i | \(-0.852031\pi\) |
0.448296 | + | 0.893885i | \(0.352031\pi\) | |||||||
\(464\) | 3.31339 | − | 5.73896i | 0.153820 | − | 0.266424i | ||||
\(465\) | −17.6642 | + | 13.6145i | −0.819156 | + | 0.631356i | ||||
\(466\) | 12.8829 | + | 22.3138i | 0.596788 | + | 1.03367i | ||||
\(467\) | −3.42025 | + | 0.916452i | −0.158270 | + | 0.0424084i | −0.337084 | − | 0.941475i | \(-0.609441\pi\) |
0.178814 | + | 0.983883i | \(0.442774\pi\) | |||||||
\(468\) | 9.74476 | + | 9.74476i | 0.450452 | + | 0.450452i | ||||
\(469\) | −4.45572 | − | 0.138675i | −0.205746 | − | 0.00640341i | ||||
\(470\) | 2.01378 | − | 2.63609i | 0.0928887 | − | 0.121594i | ||||
\(471\) | −12.0452 | + | 20.8629i | −0.555014 | + | 0.961313i | ||||
\(472\) | −13.6768 | − | 3.66469i | −0.629526 | − | 0.168681i | ||||
\(473\) | 15.3204 | − | 8.07099i | 0.704432 | − | 0.371105i | ||||
\(474\) | −23.1455 | − | 13.3631i | −1.06311 | − | 0.613786i | ||||
\(475\) | 0.228278 | + | 0.837565i | 0.0104741 | + | 0.0384301i | ||||
\(476\) | −7.44764 | − | 13.8797i | −0.341362 | − | 0.636174i | ||||
\(477\) | 29.5536 | + | 29.5536i | 1.35317 | + | 1.35317i | ||||
\(478\) | 0.292647 | + | 1.09217i | 0.0133853 | + | 0.0499548i | ||||
\(479\) | −15.8513 | − | 27.4553i | −0.724266 | − | 1.25447i | −0.959275 | − | 0.282472i | \(-0.908845\pi\) |
0.235010 | − | 0.971993i | \(-0.424488\pi\) | |||||||
\(480\) | −0.871140 | + | 6.72840i | −0.0397619 | + | 0.307108i | ||||
\(481\) | 22.2931 | + | 12.8709i | 1.01648 | + | 0.586863i | ||||
\(482\) | −15.6790 | − | 15.6790i | −0.714160 | − | 0.714160i | ||||
\(483\) | −27.5072 | + | 6.46054i | −1.25162 | + | 0.293965i | ||||
\(484\) | 10.9670 | + | 0.851225i | 0.498501 | + | 0.0386920i | ||||
\(485\) | −9.59806 | + | 23.3130i | −0.435825 | + | 1.05859i | ||||
\(486\) | −3.36013 | + | 1.93997i | −0.152419 | + | 0.0879989i | ||||
\(487\) | −1.53288 | + | 5.72078i | −0.0694614 | + | 0.259233i | −0.991920 | − | 0.126861i | \(-0.959510\pi\) |
0.922459 | + | 0.386095i | \(0.126176\pi\) | |||||||
\(488\) | −0.838847 | − | 3.13062i | −0.0379728 | − | 0.141717i | ||||
\(489\) | 20.5308i | 0.928436i | ||||||||
\(490\) | −6.84746 | + | 14.0752i | −0.309337 | + | 0.635854i | ||||
\(491\) | − | 24.5502i | − | 1.10793i | −0.832538 | − | 0.553967i | \(-0.813113\pi\) | ||
0.832538 | − | 0.553967i | \(-0.186887\pi\) | |||||||
\(492\) | 3.75990 | + | 14.0321i | 0.169509 | + | 0.632617i | ||||
\(493\) | −38.1085 | − | 10.2111i | −1.71632 | − | 0.459887i | ||||
\(494\) | 0.192774 | + | 0.333895i | 0.00867332 | + | 0.0150226i | ||||
\(495\) | 41.8491 | + | 19.1567i | 1.88098 | + | 0.861031i | ||||
\(496\) | −3.28716 | −0.147598 | ||||||||
\(497\) | 6.48387 | + | 27.6065i | 0.290841 | + | 1.23832i | ||||
\(498\) | 6.87025 | − | 6.87025i | 0.307863 | − | 0.307863i | ||||
\(499\) | −16.3553 | − | 9.44273i | −0.732164 | − | 0.422715i | 0.0870496 | − | 0.996204i | \(-0.472256\pi\) |
−0.819213 | + | 0.573489i | \(0.805589\pi\) | |||||||
\(500\) | 11.0751 | − | 1.53059i | 0.495292 | − | 0.0684500i | ||||
\(501\) | −20.0133 | + | 11.5547i | −0.894130 | + | 0.516226i | ||||
\(502\) | −2.01617 | − | 7.52445i | −0.0899861 | − | 0.335833i | ||||
\(503\) | −2.64950 | − | 2.64950i | −0.118136 | − | 0.118136i | 0.645568 | − | 0.763703i | \(-0.276621\pi\) |
−0.763703 | + | 0.645568i | \(0.776621\pi\) | |||||||
\(504\) | 14.4684 | − | 7.76351i | 0.644472 | − | 0.345814i | ||||
\(505\) | −21.4946 | − | 16.4203i | −0.956495 | − | 0.730692i | ||||
\(506\) | −2.58254 | − | 11.3847i | −0.114808 | − | 0.506110i | ||||
\(507\) | −6.33649 | + | 23.6481i | −0.281413 | + | 1.05025i | ||||
\(508\) | 0.650611 | − | 2.42811i | 0.0288662 | − | 0.107730i | ||||
\(509\) | −4.80854 | − | 2.77621i | −0.213135 | − | 0.123053i | 0.389633 | − | 0.920970i | \(-0.372602\pi\) |
−0.602767 | + | 0.797917i | \(0.705935\pi\) | |||||||
\(510\) | 40.0352 | − | 5.35808i | 1.77279 | − | 0.237260i | ||||
\(511\) | 21.0102 | + | 0.653900i | 0.929438 | + | 0.0289268i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | −1.63139 | + | 0.437131i | −0.0720278 | + | 0.0192998i | ||||
\(514\) | 1.96262 | + | 3.39936i | 0.0865676 | + | 0.149939i | ||||
\(515\) | −7.64901 | + | 5.89539i | −0.337056 | + | 0.259782i | ||||
\(516\) | 13.7191 | + | 7.92074i | 0.603951 | + | 0.348691i | ||||
\(517\) | 0.190520 | − | 4.91661i | 0.00837904 | − | 0.216232i | ||||
\(518\) | 22.3513 | − | 21.0020i | 0.982060 | − | 0.922776i | ||||
\(519\) | −43.9239 | −1.92805 | ||||||||
\(520\) | 4.58336 | − | 1.91001i | 0.200994 | − | 0.0837597i | ||||
\(521\) | −13.9099 | − | 24.0926i | −0.609403 | − | 1.05552i | −0.991339 | − | 0.131329i | \(-0.958076\pi\) |
0.381935 | − | 0.924189i | \(-0.375258\pi\) | |||||||
\(522\) | 10.6442 | − | 39.7248i | 0.465885 | − | 1.73871i | ||||
\(523\) | −27.4535 | + | 7.35614i | −1.20046 | + | 0.321662i | −0.803011 | − | 0.595964i | \(-0.796770\pi\) |
−0.397447 | + | 0.917625i | \(0.630104\pi\) | |||||||
\(524\) | 9.75646 | 0.426213 | ||||||||
\(525\) | −27.6104 | − | 29.1329i | −1.20502 | − | 1.27146i | ||||
\(526\) | −29.6586 | −1.29318 | ||||||||
\(527\) | 5.06516 | + | 18.9034i | 0.220642 | + | 0.823446i | ||||
\(528\) | 4.69034 | + | 8.90322i | 0.204121 | + | 0.387463i | ||||
\(529\) | 9.18931 | − | 5.30545i | 0.399535 | − | 0.230672i | ||||
\(530\) | 13.9003 | − | 5.79264i | 0.603790 | − | 0.251616i | ||||
\(531\) | −87.8731 | −3.81337 | ||||||||
\(532\) | 0.447196 | − | 0.105032i | 0.0193884 | − | 0.00455370i | ||||
\(533\) | 7.51794 | − | 7.51794i | 0.325638 | − | 0.325638i | ||||
\(534\) | −0.336290 | + | 0.582472i | −0.0145527 | + | 0.0252060i | ||||
\(535\) | 26.1193 | − | 20.1312i | 1.12924 | − | 0.870347i | ||||
\(536\) | 1.45918 | − | 0.842459i | 0.0630271 | − | 0.0363887i | ||||
\(537\) | −71.1322 | + | 19.0598i | −3.06958 | + | 0.822492i | ||||
\(538\) | −1.07215 | − | 1.07215i | −0.0462235 | − | 0.0462235i | ||||
\(539\) | 3.71811 | + | 22.9167i | 0.160150 | + | 0.987093i | ||||
\(540\) | 2.88539 | + | 21.5594i | 0.124167 | + | 0.927770i | ||||
\(541\) | −8.08058 | − | 4.66532i | −0.347411 | − | 0.200578i | 0.316133 | − | 0.948715i | \(-0.397615\pi\) |
−0.663544 | + | 0.748137i | \(0.730949\pi\) | |||||||
\(542\) | −2.74992 | + | 10.2629i | −0.118119 | + | 0.440827i | ||||
\(543\) | −22.3542 | − | 5.98978i | −0.959309 | − | 0.257046i | ||||
\(544\) | 5.15592 | + | 2.97677i | 0.221058 | + | 0.127628i | ||||
\(545\) | −18.1571 | + | 23.7681i | −0.777763 | + | 1.01811i | ||||
\(546\) | −15.1531 | − | 9.38898i | −0.648494 | − | 0.401811i | ||||
\(547\) | 3.74412 | − | 3.74412i | 0.160087 | − | 0.160087i | −0.622518 | − | 0.782605i | \(-0.713890\pi\) |
0.782605 | + | 0.622518i | \(0.213890\pi\) | |||||||
\(548\) | 0.818642 | + | 3.05521i | 0.0349707 | + | 0.130512i | ||||
\(549\) | −10.0571 | − | 17.4194i | −0.429226 | − | 0.743441i | ||||
\(550\) | 12.1229 | − | 11.3153i | 0.516922 | − | 0.482485i | ||||
\(551\) | 0.575282 | − | 0.996417i | 0.0245078 | − | 0.0424488i | ||||
\(552\) | 7.55164 | − | 7.55164i | 0.321419 | − | 0.321419i | ||||
\(553\) | 22.3123 | + | 6.72911i | 0.948817 | + | 0.286151i | ||||
\(554\) | − | 12.3449i | − | 0.524486i | ||||||
\(555\) | 30.2532 | + | 72.5970i | 1.28418 | + | 3.08157i | ||||
\(556\) | 11.7934 | − | 6.80891i | 0.500151 | − | 0.288762i | ||||
\(557\) | 15.6638 | + | 4.19710i | 0.663696 | + | 0.177837i | 0.574913 | − | 0.818214i | \(-0.305036\pi\) |
0.0887824 | + | 0.996051i | \(0.471702\pi\) | |||||||
\(558\) | −19.7052 | + | 5.27998i | −0.834186 | + | 0.223519i | ||||
\(559\) | − | 11.5939i | − | 0.490370i | ||||||
\(560\) | −0.601986 | − | 5.88537i | −0.0254386 | − | 0.248702i | ||||
\(561\) | 43.9723 | − | 40.6915i | 1.85651 | − | 1.71800i | ||||
\(562\) | −14.0213 | + | 3.75701i | −0.591455 | + | 0.158480i | ||||
\(563\) | 11.4072 | − | 42.5721i | 0.480755 | − | 1.79420i | −0.117705 | − | 0.993049i | \(-0.537554\pi\) |
0.598460 | − | 0.801153i | \(-0.295780\pi\) | |||||||
\(564\) | 3.89819 | − | 2.25062i | 0.164143 | − | 0.0947682i | ||||
\(565\) | −35.9828 | − | 14.8143i | −1.51381 | − | 0.623242i | ||||
\(566\) | 7.06192 | 0.296835 | ||||||||
\(567\) | 21.0106 | − | 19.7422i | 0.882361 | − | 0.829095i | ||||
\(568\) | −7.57891 | − | 7.57891i | −0.318004 | − | 0.318004i | ||||
\(569\) | −9.08697 | + | 15.7391i | −0.380946 | + | 0.659817i | −0.991198 | − | 0.132390i | \(-0.957735\pi\) |
0.610252 | + | 0.792207i | \(0.291068\pi\) | |||||||
\(570\) | −0.151250 | + | 1.16821i | −0.00633518 | + | 0.0489308i | ||||
\(571\) | −34.8710 | + | 20.1328i | −1.45931 | + | 0.842531i | −0.998977 | − | 0.0452164i | \(-0.985602\pi\) |
−0.460330 | + | 0.887748i | \(0.652269\pi\) | |||||||
\(572\) | 3.92666 | − | 6.23082i | 0.164182 | − | 0.260524i | ||||
\(573\) | 29.3538 | − | 29.3538i | 1.22627 | − | 1.22627i | ||||
\(574\) | −5.98943 | − | 11.1621i | −0.249994 | − | 0.465898i | ||||
\(575\) | −15.2788 | − | 8.73411i | −0.637171 | − | 0.364237i | ||||
\(576\) | −3.10303 | + | 5.37460i | −0.129293 | + | 0.223942i | ||||
\(577\) | 3.73411 | − | 13.9359i | 0.155453 | − | 0.580159i | −0.843613 | − | 0.536952i | \(-0.819576\pi\) |
0.999066 | − | 0.0432071i | \(-0.0137575\pi\) | |||||||
\(578\) | 4.77384 | − | 17.8162i | 0.198565 | − | 0.741056i | ||||
\(579\) | 20.6444 | − | 35.7572i | 0.857953 | − | 1.48602i | ||||
\(580\) | −11.7752 | − | 8.99536i | −0.488937 | − | 0.373512i | ||||
\(581\) | −4.46233 | + | 7.20188i | −0.185129 | + | 0.298784i | ||||
\(582\) | −24.1899 | + | 24.1899i | −1.00271 | + | 1.00271i | ||||
\(583\) | 11.9087 | − | 18.8967i | 0.493207 | − | 0.782620i | ||||
\(584\) | −6.88054 | + | 3.97248i | −0.284719 | + | 0.164382i | ||||
\(585\) | 24.4074 | − | 18.8117i | 1.00912 | − | 0.777770i | ||||
\(586\) | −16.1624 | + | 27.9941i | −0.667663 | + | 1.15643i | ||||
\(587\) | 28.7754 | + | 28.7754i | 1.18769 | + | 1.18769i | 0.977705 | + | 0.209984i | \(0.0673413\pi\) |
0.209984 | + | 0.977705i | \(0.432659\pi\) | |||||||
\(588\) | −15.9231 | + | 14.0553i | −0.656658 | + | 0.579630i | ||||
\(589\) | −0.570728 | −0.0235164 | ||||||||
\(590\) | −12.0534 | + | 29.2769i | −0.496232 | + | 1.20531i | ||||
\(591\) | −47.0204 | + | 27.1473i | −1.93416 | + | 1.11669i | ||||
\(592\) | −3.00030 | + | 11.1973i | −0.123312 | + | 0.460205i | ||||
\(593\) | −6.60744 | + | 1.77046i | −0.271335 | + | 0.0727041i | −0.391921 | − | 0.919999i | \(-0.628189\pi\) |
0.120586 | + | 0.992703i | \(0.461523\pi\) | |||||||
\(594\) | 21.9128 | + | 23.6796i | 0.899095 | + | 0.971584i | ||||
\(595\) | −32.9173 | + | 12.5305i | −1.34948 | + | 0.513702i | ||||
\(596\) | 20.2912i | 0.831161i | ||||||||
\(597\) | 42.7528 | − | 11.4556i | 1.74976 | − | 0.468846i | ||||
\(598\) | −7.54978 | − | 2.02296i | −0.308734 | − | 0.0827249i | ||||
\(599\) | −38.7397 | + | 22.3664i | −1.58286 | + | 0.913865i | −0.588421 | + | 0.808555i | \(0.700250\pi\) |
−0.994439 | + | 0.105310i | \(0.966417\pi\) | |||||||
\(600\) | 14.6705 | + | 3.86361i | 0.598921 | + | 0.157731i | ||||
\(601\) | 41.4937i | 1.69256i | 0.532735 | + | 0.846282i | \(0.321164\pi\) | ||||
−0.532735 | + | 0.846282i | \(0.678836\pi\) | |||||||
\(602\) | −13.2253 | − | 3.98857i | −0.539022 | − | 0.162562i | ||||
\(603\) | 7.39399 | − | 7.39399i | 0.301107 | − | 0.301107i | ||||
\(604\) | 3.21837 | − | 5.57438i | 0.130954 | − | 0.226818i | ||||
\(605\) | 5.03640 | − | 24.0756i | 0.204759 | − | 0.978812i | ||||
\(606\) | −18.3515 | − | 31.7857i | −0.745477 | − | 1.29120i | ||||
\(607\) | −6.40193 | − | 23.8923i | −0.259847 | − | 0.969760i | −0.965330 | − | 0.261034i | \(-0.915937\pi\) |
0.705483 | − | 0.708727i | \(-0.250730\pi\) | |||||||
\(608\) | −0.122770 | + | 0.122770i | −0.00497899 | + | 0.00497899i | ||||
\(609\) | −1.65485 | + | 53.1714i | −0.0670579 | + | 2.15461i | ||||
\(610\) | −7.18318 | + | 0.961354i | −0.290838 | + | 0.0389241i | ||||
\(611\) | −2.85297 | − | 1.64716i | −0.115419 | − | 0.0666371i | ||||
\(612\) | 35.6890 | + | 9.56285i | 1.44264 | + | 0.386555i | ||||
\(613\) | −1.50058 | + | 5.60024i | −0.0606078 | + | 0.226192i | −0.989586 | − | 0.143943i | \(-0.954022\pi\) |
0.928978 | + | 0.370135i | \(0.120688\pi\) | |||||||
\(614\) | 13.5699 | + | 7.83461i | 0.547638 | + | 0.316179i | ||||
\(615\) | 32.1966 | − | 4.30900i | 1.29829 | − | 0.173756i | ||||
\(616\) | −5.75669 | − | 6.62273i | −0.231944 | − | 0.266837i | ||||
\(617\) | −12.1840 | − | 12.1840i | −0.490511 | − | 0.490511i | 0.417956 | − | 0.908467i | \(-0.362746\pi\) |
−0.908467 | + | 0.417956i | \(0.862746\pi\) | |||||||
\(618\) | −12.6576 | + | 3.39159i | −0.509162 | + | 0.136430i | ||||
\(619\) | −2.75556 | + | 1.59092i | −0.110755 | + | 0.0639445i | −0.554354 | − | 0.832281i | \(-0.687035\pi\) |
0.443599 | + | 0.896225i | \(0.353701\pi\) | |||||||
\(620\) | −0.943783 | + | 7.28947i | −0.0379032 | + | 0.292752i | ||||
\(621\) | 17.1197 | − | 29.6522i | 0.686991 | − | 1.18990i | ||||
\(622\) | 3.83491 | − | 3.83491i | 0.153766 | − | 0.153766i | ||||
\(623\) | 0.169343 | − | 0.561505i | 0.00678457 | − | 0.0224962i | ||||
\(624\) | 6.73764 | 0.269721 | ||||||||
\(625\) | −0.214384 | − | 24.9991i | −0.00857535 | − | 0.999963i | ||||
\(626\) | 24.9291 | − | 14.3928i | 0.996366 | − | 0.575252i | ||||
\(627\) | 0.814353 | + | 1.54581i | 0.0325221 | + | 0.0617336i | ||||
\(628\) | 2.05496 | + | 7.66923i | 0.0820020 | + | 0.306036i | ||||
\(629\) | 69.0151 | 2.75181 | ||||||||
\(630\) | −13.0620 | − | 34.3134i | −0.520403 | − | 1.36708i | ||||
\(631\) | 32.4996 | 1.29379 | 0.646893 | − | 0.762580i | \(-0.276068\pi\) | ||||
0.646893 | + | 0.762580i | \(0.276068\pi\) | |||||||
\(632\) | −8.50830 | + | 2.27979i | −0.338442 | + | 0.0906853i | ||||
\(633\) | −2.79859 | + | 10.4445i | −0.111234 | + | 0.415131i | ||||
\(634\) | 5.72063 | + | 9.90842i | 0.227195 | + | 0.393514i | ||||
\(635\) | −5.19769 | − | 2.13991i | −0.206264 | − | 0.0849197i | ||||
\(636\) | 20.4337 | 0.810249 | ||||||||
\(637\) | 14.7353 | + | 4.94904i | 0.583835 | + | 0.196088i | ||||
\(638\) | −21.9621 | − | 0.851033i | −0.869486 | − | 0.0336927i | ||||
\(639\) | −57.6060 | − | 33.2588i | −2.27886 | − | 1.31570i | ||||
\(640\) | 1.36503 | + | 1.77107i | 0.0539576 | + | 0.0700077i | ||||
\(641\) | 11.8777 | + | 20.5728i | 0.469141 | + | 0.812576i | 0.999378 | − | 0.0352739i | \(-0.0112304\pi\) |
−0.530237 | + | 0.847849i | \(0.677897\pi\) | |||||||
\(642\) | 43.2222 | − | 11.5814i | 1.70585 | − | 0.457080i | ||||
\(643\) | 18.1265 | − | 18.1265i | 0.714840 | − | 0.714840i | −0.252704 | − | 0.967544i | \(-0.581320\pi\) |
0.967544 | + | 0.252704i | \(0.0813198\pi\) | |||||||
\(644\) | −4.90491 | + | 7.91616i | −0.193280 | + | 0.311940i | ||||
\(645\) | 21.5036 | − | 28.1488i | 0.846705 | − | 1.10836i | ||||
\(646\) | 0.895188 | + | 0.516837i | 0.0352207 | + | 0.0203347i | ||||
\(647\) | 7.24195 | − | 27.0273i | 0.284710 | − | 1.06255i | −0.664340 | − | 0.747430i | \(-0.731287\pi\) |
0.949051 | − | 0.315124i | \(-0.102046\pi\) | |||||||
\(648\) | −2.82033 | + | 10.5256i | −0.110793 | + | 0.413485i | ||||
\(649\) | 10.3889 | + | 45.7974i | 0.407798 | + | 1.79771i | ||||
\(650\) | −2.91963 | − | 10.7123i | −0.114517 | − | 0.420170i | ||||
\(651\) | 23.2521 | − | 12.4767i | 0.911320 | − | 0.489001i | ||||
\(652\) | 4.78470 | + | 4.78470i | 0.187383 | + | 0.187383i | ||||
\(653\) | −2.29359 | − | 8.55981i | −0.0897553 | − | 0.334971i | 0.906417 | − | 0.422384i | \(-0.138807\pi\) |
−0.996172 | + | 0.0874130i | \(0.972140\pi\) | |||||||
\(654\) | −35.1477 | + | 20.2925i | −1.37438 | + | 0.793500i | ||||
\(655\) | 2.80120 | − | 21.6355i | 0.109452 | − | 0.845370i | ||||
\(656\) | 4.14642 | + | 2.39394i | 0.161891 | + | 0.0934676i | ||||
\(657\) | −34.8652 | + | 34.8652i | −1.36022 | + | 1.36022i | ||||
\(658\) | −2.86042 | + | 2.68775i | −0.111511 | + | 0.104779i | ||||
\(659\) | 36.2312 | 1.41137 | 0.705685 | − | 0.708526i | \(-0.250640\pi\) | ||||
0.705685 | + | 0.708526i | \(0.250640\pi\) | |||||||
\(660\) | 21.0901 | − | 7.84488i | 0.820929 | − | 0.305362i | ||||
\(661\) | −1.46096 | − | 2.53045i | −0.0568246 | − | 0.0984230i | 0.836214 | − | 0.548404i | \(-0.184764\pi\) |
−0.893038 | + | 0.449981i | \(0.851431\pi\) | |||||||
\(662\) | 3.18638 | + | 0.853787i | 0.123842 | + | 0.0331834i | ||||
\(663\) | −10.3820 | − | 38.7460i | −0.403202 | − | 1.50477i | ||||
\(664\) | − | 3.20222i | − | 0.124270i | ||||||
\(665\) | −0.104519 | − | 1.02184i | −0.00405307 | − | 0.0396252i | ||||
\(666\) | 71.9422i | 2.78770i | ||||||||
\(667\) | 6.03696 | + | 22.5303i | 0.233752 | + | 0.872375i | ||||
\(668\) | −1.97128 | + | 7.35692i | −0.0762711 | + | 0.284648i | ||||
\(669\) | 48.1455 | − | 27.7968i | 1.86141 | − | 1.07469i | ||||
\(670\) | −1.44925 | − | 3.47770i | −0.0559896 | − | 0.134355i | ||||
\(671\) | −7.88957 | + | 7.30093i | −0.304573 | + | 0.281849i | ||||
\(672\) | 2.31790 | − | 7.68568i | 0.0894150 | − | 0.296482i | ||||
\(673\) | −12.7070 | − | 12.7070i | −0.489819 | − | 0.489819i | 0.418430 | − | 0.908249i | \(-0.362580\pi\) |
−0.908249 | + | 0.418430i | \(0.862580\pi\) | |||||||
\(674\) | 14.1419 | + | 8.16481i | 0.544724 | + | 0.314497i | ||||
\(675\) | 48.6377 | − | 0.208546i | 1.87207 | − | 0.00802695i | ||||
\(676\) | 4.03446 | + | 6.98789i | 0.155172 | + | 0.268765i | ||||
\(677\) | 5.59473 | + | 20.8798i | 0.215023 | + | 0.802476i | 0.986159 | + | 0.165805i | \(0.0530223\pi\) |
−0.771136 | + | 0.636671i | \(0.780311\pi\) | |||||||
\(678\) | −37.3364 | − | 37.3364i | −1.43390 | − | 1.43390i | ||||
\(679\) | 15.7117 | − | 25.3576i | 0.602961 | − | 0.973135i | ||||
\(680\) | 8.08149 | − | 10.5789i | 0.309911 | − | 0.405682i | ||||
\(681\) | −56.5814 | − | 32.6673i | −2.16821 | − | 1.25181i | ||||
\(682\) | 5.08146 | + | 9.64564i | 0.194579 | + | 0.369351i | ||||
\(683\) | 2.78893 | + | 0.747293i | 0.106716 | + | 0.0285944i | 0.311782 | − | 0.950154i | \(-0.399074\pi\) |
−0.205066 | + | 0.978748i | \(0.565741\pi\) | |||||||
\(684\) | −0.538758 | + | 0.933156i | −0.0205999 | + | 0.0356801i | ||||
\(685\) | 7.01016 | − | 0.938198i | 0.267844 | − | 0.0358467i | ||||
\(686\) | 10.7147 | − | 15.1061i | 0.409089 | − | 0.576755i | ||||
\(687\) | 9.82163 | + | 9.82163i | 0.374719 | + | 0.374719i | ||||
\(688\) | 5.04316 | − | 1.35131i | 0.192269 | − | 0.0515183i | ||||
\(689\) | −7.47741 | − | 12.9513i | −0.284867 | − | 0.493404i | ||||
\(690\) | −14.5780 | − | 18.9144i | −0.554977 | − | 0.720058i | ||||
\(691\) | 1.52075 | − | 2.63402i | 0.0578522 | − | 0.100203i | −0.835649 | − | 0.549264i | \(-0.814908\pi\) |
0.893501 | + | 0.449061i | \(0.148241\pi\) | |||||||
\(692\) | −10.2365 | + | 10.2365i | −0.389132 | + | 0.389132i | ||||
\(693\) | −45.1467 | − | 30.4538i | −1.71498 | − | 1.15685i | ||||
\(694\) | 30.0031i | 1.13890i | ||||||||
\(695\) | −11.7131 | − | 28.1074i | −0.444305 | − | 1.06618i | ||||
\(696\) | −10.0533 | − | 17.4128i | −0.381070 | − | 0.660032i | ||||
\(697\) | 7.37759 | − | 27.5335i | 0.279446 | − | 1.04291i | ||||
\(698\) | 2.14747 | + | 8.01445i | 0.0812828 | + | 0.303351i | ||||
\(699\) | 78.1772 | 2.95693 | ||||||||
\(700\) | −13.2240 | − | 0.354821i | −0.499820 | − | 0.0134110i | ||||
\(701\) | 6.89263i | 0.260331i | 0.991492 | + | 0.130166i | \(0.0415509\pi\) | ||||
−0.991492 | + | 0.130166i | \(0.958449\pi\) | |||||||
\(702\) | 20.8652 | − | 5.59080i | 0.787505 | − | 0.211011i | ||||
\(703\) | −0.520922 | + | 1.94411i | −0.0196470 | + | 0.0733234i | ||||
\(704\) | 3.16797 | + | 0.981809i | 0.119397 | + | 0.0370033i | ||||
\(705\) | −3.87167 | − | 9.29064i | −0.145815 | − | 0.349906i | ||||
\(706\) | − | 25.3083i | − | 0.952490i | ||||||
\(707\) | 21.9158 | + | 23.3237i | 0.824227 | + | 0.877180i | ||||
\(708\) | −30.3782 | + | 30.3782i | −1.14168 | + | 1.14168i | ||||
\(709\) | −13.8771 | − | 8.01192i | −0.521164 | − | 0.300894i | 0.216247 | − | 0.976339i | \(-0.430618\pi\) |
−0.737411 | + | 0.675445i | \(0.763952\pi\) | |||||||
\(710\) | −18.9827 | + | 14.6307i | −0.712407 | + | 0.549080i | ||||
\(711\) | −47.3418 | + | 27.3328i | −1.77546 | + | 1.02506i | ||||
\(712\) | 0.0573725 | + | 0.214117i | 0.00215013 | + | 0.00802438i | ||||
\(713\) | 8.18136 | − | 8.18136i | 0.306395 | − | 0.306395i | ||||
\(714\) | −47.7695 | − | 1.48673i | −1.78773 | − | 0.0556394i | ||||
\(715\) | −12.6898 | − | 10.4965i | −0.474573 | − | 0.392549i | ||||
\(716\) | −12.1354 | + | 21.0192i | −0.453523 | + | 0.785525i | ||||
\(717\) | 3.31381 | + | 0.887933i | 0.123757 | + | 0.0331605i | ||||
\(718\) | 18.9126 | + | 5.06761i | 0.705812 | + | 0.189122i | ||||
\(719\) | 29.9863 | + | 17.3126i | 1.11830 | + | 0.645650i | 0.940966 | − | 0.338501i | \(-0.109920\pi\) |
0.177332 | + | 0.984151i | \(0.443253\pi\) | |||||||
\(720\) | 11.0276 | + | 8.42425i | 0.410973 | + | 0.313953i | ||||
\(721\) | 10.0687 | − | 5.40272i | 0.374978 | − | 0.201208i | ||||
\(722\) | 13.4137 | − | 13.4137i | 0.499207 | − | 0.499207i | ||||
\(723\) | −64.9852 | + | 17.4127i | −2.41683 | + | 0.647587i | ||||
\(724\) | −6.60554 | + | 3.81371i | −0.245493 | + | 0.141736i | ||||
\(725\) | −23.3285 | + | 23.5294i | −0.866400 | + | 0.873862i | ||||
\(726\) | 18.8745 | − | 27.5261i | 0.700498 | − | 1.02159i | ||||
\(727\) | −15.2561 | − | 15.2561i | −0.565816 | − | 0.565816i | 0.365138 | − | 0.930954i | \(-0.381022\pi\) |
−0.930954 | + | 0.365138i | \(0.881022\pi\) | |||||||
\(728\) | −5.71953 | + | 1.34333i | −0.211980 | + | 0.0497872i | ||||
\(729\) | − | 20.9184i | − | 0.774756i | ||||||
\(730\) | 6.83373 | + | 16.3986i | 0.252928 | + | 0.606938i | ||||
\(731\) | −15.5419 | − | 26.9194i | −0.574839 | − | 0.995650i | ||||
\(732\) | −9.49876 | − | 2.54519i | −0.351084 | − | 0.0940728i | ||||
\(733\) | −10.1203 | + | 2.71171i | −0.373800 | + | 0.100159i | −0.440828 | − | 0.897592i | \(-0.645315\pi\) |
0.0670277 | + | 0.997751i | \(0.478648\pi\) | |||||||
\(734\) | 3.69167 | 0.136262 | ||||||||
\(735\) | 26.5967 | + | 39.3459i | 0.981034 | + | 1.45129i | ||||
\(736\) | − | 3.51981i | − | 0.129742i | ||||||
\(737\) | −4.72774 | − | 2.97942i | −0.174148 | − | 0.109748i | ||||
\(738\) | 28.7013 | + | 7.69050i | 1.05651 | + | 0.283091i | ||||
\(739\) | −13.0304 | − | 22.5694i | −0.479333 | − | 0.830228i | 0.520386 | − | 0.853931i | \(-0.325788\pi\) |
−0.999719 | + | 0.0237025i | \(0.992455\pi\) | |||||||
\(740\) | 23.9692 | + | 9.86821i | 0.881125 | + | 0.362763i | ||||
\(741\) | 1.16981 | 0.0429741 | ||||||||
\(742\) | −17.3460 | + | 4.07402i | −0.636792 | + | 0.149562i | ||||
\(743\) | −14.8293 | − | 14.8293i | −0.544035 | − | 0.544035i | 0.380674 | − | 0.924709i | \(-0.375692\pi\) |
−0.924709 | + | 0.380674i | \(0.875692\pi\) | |||||||
\(744\) | −4.98687 | + | 8.63750i | −0.182827 | + | 0.316666i | ||||
\(745\) | 44.9970 | + | 5.82586i | 1.64856 | + | 0.213443i | ||||
\(746\) | −4.64854 | − | 8.05152i | −0.170195 | − | 0.294787i | ||||
\(747\) | −5.14354 | − | 19.1960i | −0.188192 | − | 0.702344i | ||||
\(748\) | 0.764574 | − | 19.7309i | 0.0279556 | − | 0.721432i | ||||
\(749\) | −34.3820 | + | 18.4489i | −1.25629 | + | 0.674107i | ||||
\(750\) | 12.7799 | − | 31.4234i | 0.466654 | − | 1.14742i | ||||
\(751\) | 3.47651 | − | 6.02149i | 0.126860 | − | 0.219727i | −0.795599 | − | 0.605824i | \(-0.792844\pi\) |
0.922458 | + | 0.386097i | \(0.126177\pi\) | |||||||
\(752\) | 0.383965 | − | 1.43298i | 0.0140018 | − | 0.0522553i | ||||
\(753\) | −22.8303 | − | 6.11736i | −0.831982 | − | 0.222929i | ||||
\(754\) | −7.35772 | + | 12.7439i | −0.267952 | + | 0.464107i | ||||
\(755\) | −11.4375 | − | 8.73740i | −0.416253 | − | 0.317987i | ||||
\(756\) | 0.800620 | − | 25.7244i | 0.0291183 | − | 0.935589i | ||||
\(757\) | −30.5139 | − | 30.5139i | −1.10905 | − | 1.10905i | −0.993276 | − | 0.115769i | \(-0.963067\pi\) |
−0.115769 | − | 0.993276i | \(-0.536933\pi\) | |||||||
\(758\) | −1.58697 | + | 0.425227i | −0.0576414 | + | 0.0154450i | ||||
\(759\) | −33.8328 | − | 10.4854i | −1.22805 | − | 0.380595i | ||||
\(760\) | 0.237001 | + | 0.307499i | 0.00859695 | + | 0.0111542i | ||||
\(761\) | 0.600352 | + | 0.346613i | 0.0217627 | + | 0.0125647i | 0.510842 | − | 0.859675i | \(-0.329334\pi\) |
−0.489079 | + | 0.872239i | \(0.662667\pi\) | |||||||
\(762\) | −5.39321 | − | 5.39321i | −0.195375 | − | 0.195375i | ||||
\(763\) | 25.7907 | − | 24.2338i | 0.933687 | − | 0.877323i | ||||
\(764\) | − | 13.6818i | − | 0.494990i | ||||||
\(765\) | 31.4529 | − | 76.3969i | 1.13718 | − | 2.76214i | ||||
\(766\) | −14.4181 | + | 8.32428i | −0.520946 | + | 0.300768i | ||||
\(767\) | 30.3707 | + | 8.13781i | 1.09662 | + | 0.293839i | ||||
\(768\) | 0.785295 | + | 2.93076i | 0.0283369 | + | 0.105755i | ||||
\(769\) | 1.97482 | 0.0712139 | 0.0356070 | − | 0.999366i | \(-0.488664\pi\) | ||||
0.0356070 | + | 0.999366i | \(0.488664\pi\) | |||||||
\(770\) | −16.3391 | + | 10.8643i | −0.588820 | + | 0.391524i | ||||
\(771\) | 11.9098 | 0.428920 | ||||||||
\(772\) | −3.52203 | − | 13.1444i | −0.126760 | − | 0.473076i | ||||
\(773\) | 40.1761 | + | 10.7651i | 1.44503 | + | 0.387195i | 0.894293 | − | 0.447482i | \(-0.147679\pi\) |
0.550740 | + | 0.834677i | \(0.314346\pi\) | |||||||
\(774\) | 28.0611 | − | 16.2011i | 1.00864 | − | 0.582337i | ||||
\(775\) | 15.8939 | + | 4.18579i | 0.570924 | + | 0.150358i | ||||
\(776\) | 11.2749i | 0.404746i | ||||||||
\(777\) | −21.2774 | − | 90.5930i | −0.763321 | − | 3.25000i | ||||
\(778\) | 8.55903 | + | 8.55903i | 0.306856 | + | 0.306856i | ||||
\(779\) | 0.719916 | + | 0.415644i | 0.0257937 | + | 0.0148920i | ||||
\(780\) | 1.93446 | − | 14.9411i | 0.0692646 | − | 0.534977i | ||||
\(781\) | −10.5232 | + | 33.9550i | −0.376551 | + | 1.21500i | ||||
\(782\) | −20.2413 | + | 5.42365i | −0.723829 | + | 0.193949i | ||||
\(783\) | −45.5821 | − | 45.5821i | −1.62897 | − | 1.62897i | ||||
\(784\) | −0.435299 | + | 6.98645i | −0.0155464 | + | 0.249516i | ||||
\(785\) | 17.5970 | − | 2.35508i | 0.628063 | − | 0.0840563i | ||||
\(786\) | 14.8013 | − | 25.6366i | 0.527944 | − | 0.914426i | ||||
\(787\) | −0.695359 | − | 0.186321i | −0.0247869 | − | 0.00664163i | 0.246404 | − | 0.969167i | \(-0.420751\pi\) |
−0.271191 | + | 0.962526i | \(0.587418\pi\) | |||||||
\(788\) | −4.63144 | + | 17.2848i | −0.164988 | + | 0.615744i | ||||
\(789\) | −44.9943 | + | 77.9324i | −1.60184 | + | 2.77447i | ||||
\(790\) | 2.61274 | + | 19.5222i | 0.0929571 | + | 0.694569i | ||||
\(791\) | 39.1386 | + | 24.2505i | 1.39161 | + | 0.862250i | ||||
\(792\) | 20.5677 | + | 0.797001i | 0.730842 | + | 0.0283202i | ||||
\(793\) | 1.86275 | + | 6.95186i | 0.0661481 | + | 0.246868i | ||||
\(794\) | 2.15479 | + | 3.73221i | 0.0764708 | + | 0.132451i | ||||
\(795\) | 5.86676 | − | 45.3130i | 0.208073 | − | 1.60708i | ||||
\(796\) | 7.29381 | − | 12.6332i | 0.258522 | − | 0.447773i | ||||
\(797\) | −5.38891 | − | 5.38891i | −0.190885 | − | 0.190885i | 0.605194 | − | 0.796078i | \(-0.293096\pi\) |
−0.796078 | + | 0.605194i | \(0.793096\pi\) | |||||||
\(798\) | 0.402442 | − | 1.33441i | 0.0142463 | − | 0.0472377i | ||||
\(799\) | −8.83225 | −0.312462 | ||||||||
\(800\) | 4.31937 | − | 2.51854i | 0.152713 | − | 0.0890440i | ||||
\(801\) | 0.687849 | + | 1.19139i | 0.0243039 | + | 0.0420957i | ||||
\(802\) | −28.1707 | − | 7.54831i | −0.994741 | − | 0.266540i | ||||
\(803\) | 22.2929 | + | 14.0490i | 0.786699 | + | 0.495778i | ||||
\(804\) | − | 5.11229i | − | 0.180297i | ||||||
\(805\) | 16.1463 | + | 13.1497i | 0.569082 | + | 0.463467i | ||||
\(806\) | 7.29948 | 0.257113 | ||||||||
\(807\) | −4.44375 | + | 1.19070i | −0.156427 | + | 0.0419146i | ||||
\(808\) | −11.6844 | − | 3.13084i | −0.411057 | − | 0.110142i | ||||
\(809\) | −27.8905 | − | 48.3078i | −0.980579 | − | 1.69841i | −0.660139 | − | 0.751143i | \(-0.729503\pi\) |
−0.320439 | − | 0.947269i | \(-0.603831\pi\) | |||||||
\(810\) | 22.5314 | + | 9.27627i | 0.791673 | + | 0.325935i | ||||
\(811\) | − | 40.3966i | − | 1.41852i | −0.704948 | − | 0.709259i | \(-0.749030\pi\) | ||
0.704948 | − | 0.709259i | \(-0.250970\pi\) | |||||||
\(812\) | 12.0059 | + | 12.7772i | 0.421325 | + | 0.448393i | ||||
\(813\) | 22.7953 | + | 22.7953i | 0.799467 | + | 0.799467i | ||||
\(814\) | 37.4946 | − | 8.50542i | 1.31419 | − | 0.298115i | ||||
\(815\) | 11.9841 | − | 9.23661i | 0.419785 | − | 0.323544i | ||||
\(816\) | 15.6438 | − | 9.03197i | 0.547643 | − | 0.316182i | ||||
\(817\) | 0.875611 | − | 0.234619i | 0.0306337 | − | 0.00820829i | ||||
\(818\) | 10.0503 | − | 10.0503i | 0.351401 | − | 0.351401i | ||||
\(819\) | −32.1285 | + | 17.2397i | −1.12266 | + | 0.602403i | ||||
\(820\) | 6.49918 | − | 8.50761i | 0.226961 | − | 0.297098i | ||||
\(821\) | −31.4310 | − | 18.1467i | −1.09695 | − | 0.633325i | −0.161533 | − | 0.986867i | \(-0.551644\pi\) |
−0.935418 | + | 0.353542i | \(0.884977\pi\) | |||||||
\(822\) | 9.26997 | + | 2.48388i | 0.323327 | + | 0.0866353i | ||||
\(823\) | −45.8192 | − | 12.2772i | −1.59716 | − | 0.427957i | −0.652974 | − | 0.757381i | \(-0.726479\pi\) |
−0.944182 | + | 0.329424i | \(0.893145\pi\) | |||||||
\(824\) | −2.15943 | + | 3.74025i | −0.0752274 | + | 0.130298i | ||||
\(825\) | −11.3413 | − | 49.0208i | −0.394853 | − | 1.70669i | ||||
\(826\) | 19.7311 | − | 31.8446i | 0.686533 | − | 1.10801i | ||||
\(827\) | −26.2169 | + | 26.2169i | −0.911651 | + | 0.911651i | −0.996402 | − | 0.0847510i | \(-0.972991\pi\) |
0.0847510 | + | 0.996402i | \(0.472991\pi\) | |||||||
\(828\) | −5.65368 | − | 21.0998i | −0.196479 | − | 0.733270i | ||||
\(829\) | 35.1344 | − | 20.2849i | 1.22027 | − | 0.704523i | 0.255294 | − | 0.966863i | \(-0.417828\pi\) |
0.964975 | + | 0.262341i | \(0.0844944\pi\) | |||||||
\(830\) | −7.10111 | − | 0.919395i | −0.246483 | − | 0.0319127i | ||||
\(831\) | −32.4382 | − | 18.7282i | −1.12527 | − | 0.649673i | ||||
\(832\) | 1.57020 | − | 1.57020i | 0.0544370 | − | 0.0544370i | ||||
\(833\) | 40.8476 | − | 8.26209i | 1.41529 | − | 0.286264i | ||||
\(834\) | − | 41.3185i | − | 1.43074i | ||||||
\(835\) | 15.7484 | + | 6.48369i | 0.544997 | + | 0.224377i | ||||
\(836\) | 0.550034 | + | 0.170465i | 0.0190233 | + | 0.00589566i | ||||
\(837\) | −8.27607 | + | 30.8867i | −0.286063 | + | 1.06760i | ||||
\(838\) | −17.4013 | + | 4.66266i | −0.601117 | + | 0.161069i | ||||
\(839\) | 36.6709i | 1.26602i | 0.774144 | + | 0.633009i | \(0.218181\pi\) | ||||
−0.774144 | + | 0.633009i | \(0.781819\pi\) | |||||||
\(840\) | −16.3779 | − | 7.34674i | −0.565093 | − | 0.253486i | ||||
\(841\) | 14.9142 | 0.514283 | ||||||||
\(842\) | 2.73772 | + | 10.2173i | 0.0943479 | + | 0.352111i | ||||
\(843\) | −11.3993 | + | 42.5428i | −0.392613 | + | 1.46525i | ||||
\(844\) | 1.78187 | + | 3.08629i | 0.0613346 | + | 0.106235i | ||||
\(845\) | 16.6544 | − | 6.94035i | 0.572929 | − | 0.238755i | ||||
\(846\) | − | 9.20685i | − | 0.316538i | ||||||
\(847\) | −10.5343 | + | 27.1298i | −0.361964 | + | 0.932192i | ||||
\(848\) | 4.76207 | − | 4.76207i | 0.163530 | − | 0.163530i | ||||
\(849\) | 10.7135 | − | 18.5562i | 0.367685 | − | 0.636849i | ||||
\(850\) | −21.1390 | − | 20.9585i | −0.725062 | − | 0.718871i | ||||
\(851\) | −20.4013 | − | 35.3361i | −0.699348 | − | 1.21131i | ||||
\(852\) | −31.4125 | + | 8.41695i | −1.07617 | + | 0.288360i | ||||
\(853\) | 27.7461 | + | 27.7461i | 0.950009 | + | 0.950009i | 0.998809 | − | 0.0487992i | \(-0.0155394\pi\) |
−0.0487992 | + | 0.998809i | \(0.515539\pi\) | |||||||
\(854\) | 8.57088 | + | 0.266751i | 0.293289 | + | 0.00912803i | ||||
\(855\) | 1.91464 | + | 1.46265i | 0.0654794 | + | 0.0500215i | ||||
\(856\) | 7.37389 | − | 12.7720i | 0.252034 | − | 0.436536i | ||||
\(857\) | 10.6951 | + | 2.86573i | 0.365337 | + | 0.0978916i | 0.436817 | − | 0.899550i | \(-0.356106\pi\) |
−0.0714805 | + | 0.997442i | \(0.522772\pi\) | |||||||
\(858\) | −10.4154 | − | 19.7705i | −0.355575 | − | 0.674954i | ||||
\(859\) | 41.7079 | + | 24.0801i | 1.42306 | + | 0.821602i | 0.996559 | − | 0.0828871i | \(-0.0264141\pi\) |
0.426497 | + | 0.904489i | \(0.359747\pi\) | |||||||
\(860\) | −1.54866 | − | 11.5715i | −0.0528089 | − | 0.394584i | ||||
\(861\) | −38.4165 | − | 1.19564i | −1.30923 | − | 0.0407471i | ||||
\(862\) | 13.2908 | + | 13.2908i | 0.452685 | + | 0.452685i | ||||
\(863\) | 3.64807 | + | 13.6148i | 0.124182 | + | 0.463452i | 0.999809 | − | 0.0195349i | \(-0.00621853\pi\) |
−0.875628 | + | 0.482987i | \(0.839552\pi\) | |||||||
\(864\) | 4.86381 | + | 8.42437i | 0.165470 | + | 0.286603i | ||||
\(865\) | 19.7609 | + | 25.6389i | 0.671892 | + | 0.871750i | ||||
\(866\) | 0.566421 | + | 0.327023i | 0.0192478 | + | 0.0111127i | ||||
\(867\) | −39.5725 | − | 39.5725i | −1.34395 | − | 1.34395i | ||||
\(868\) | 2.51119 | − | 8.32658i | 0.0852353 | − | 0.282623i | ||||
\(869\) | 19.8423 | + | 21.4420i | 0.673102 | + | 0.727371i | ||||
\(870\) | −41.5004 | + | 17.2944i | −1.40700 | + | 0.586334i | ||||
\(871\) | −3.24026 | + | 1.87077i | −0.109792 | + | 0.0633885i | ||||
\(872\) | −3.46199 | + | 12.9203i | −0.117238 | + | 0.437537i | ||||
\(873\) | 18.1103 | + | 67.5884i | 0.612940 | + | 2.28752i | ||||
\(874\) | − | 0.611122i | − | 0.0206715i | ||||||
\(875\) | −4.58360 | + | 29.2231i | −0.154954 | + | 0.987922i | ||||
\(876\) | 24.1062i | 0.814473i | ||||||||
\(877\) | −7.65176 | − | 28.5567i | −0.258381 | − | 0.964293i | −0.966178 | − | 0.257876i | \(-0.916977\pi\) |
0.707796 | − | 0.706416i | \(-0.249689\pi\) | |||||||
\(878\) | −27.9072 | − | 7.47770i | −0.941821 | − | 0.252360i | ||||
\(879\) | 49.0392 | + | 84.9383i | 1.65405 | + | 2.86490i | ||||
\(880\) | 3.08678 | − | 6.74328i | 0.104055 | − | 0.227316i | ||||
\(881\) | 4.28674 | 0.144424 | 0.0722120 | − | 0.997389i | \(-0.476994\pi\) | ||||
0.0722120 | + | 0.997389i | \(0.476994\pi\) | |||||||
\(882\) | 8.61251 | + | 42.5801i | 0.289998 | + | 1.43375i | ||||
\(883\) | −10.7650 | + | 10.7650i | −0.362271 | + | 0.362271i | −0.864649 | − | 0.502377i | \(-0.832459\pi\) |
0.502377 | + | 0.864649i | \(0.332459\pi\) | |||||||
\(884\) | −11.4493 | − | 6.61023i | −0.385080 | − | 0.222326i | ||||
\(885\) | 58.6435 | + | 76.0874i | 1.97128 | + | 2.55765i | ||||
\(886\) | 16.9537 | − | 9.78825i | 0.569572 | − | 0.328843i | ||||
\(887\) | 4.58259 | + | 17.1024i | 0.153868 | + | 0.574244i | 0.999200 | + | 0.0400017i | \(0.0127363\pi\) |
−0.845331 | + | 0.534242i | \(0.820597\pi\) | |||||||
\(888\) | 24.8708 | + | 24.8708i | 0.834610 | + | 0.834610i | ||||
\(889\) | 5.65353 | + | 3.50297i | 0.189613 | + | 0.117486i | ||||
\(890\) | 0.491290 | − | 0.0657513i | 0.0164681 | − | 0.00220399i | ||||
\(891\) | 35.2455 | − | 7.99522i | 1.18077 | − | 0.267850i | ||||
\(892\) | 4.74225 | − | 17.6983i | 0.158782 | − | 0.592584i | ||||
\(893\) | 0.0666653 | − | 0.248798i | 0.00223087 | − | 0.00832572i | ||||
\(894\) | 53.3182 | + | 30.7833i | 1.78323 | + | 1.02955i | ||||
\(895\) | 43.1271 | + | 32.9459i | 1.44158 | + | 1.10126i | ||||
\(896\) | −1.25096 | − | 2.33133i | −0.0417916 | − | 0.0778843i | ||||
\(897\) | −16.7692 | + | 16.7692i | −0.559907 | + | 0.559907i | ||||
\(898\) | 30.7529 | − | 8.24022i | 1.02624 | − | 0.274980i | ||||
\(899\) | −10.8916 | − | 18.8649i | −0.363257 | − | 0.629179i | ||||
\(900\) | 21.8474 | − | 22.0356i | 0.728247 | − | 0.734519i | ||||
\(901\) | −34.7230 | − | 20.0473i | −1.15679 | − | 0.667873i | ||||
\(902\) | 0.614875 | − | 15.8677i | 0.0204731 | − | 0.528336i | ||||
\(903\) | −30.5443 | + | 28.7004i | −1.01645 | + | 0.955090i | ||||
\(904\) | −17.4025 | −0.578797 | ||||||||
\(905\) | 6.56060 | + | 15.7431i | 0.218082 | + | 0.523320i | ||||
\(906\) | −9.76501 | − | 16.9135i | −0.324421 | − | 0.561913i | ||||
\(907\) | −5.26304 | + | 19.6419i | −0.174756 | + | 0.652200i | 0.821837 | + | 0.569723i | \(0.192950\pi\) |
−0.996593 | + | 0.0824764i | \(0.973717\pi\) | |||||||
\(908\) | −20.7994 | + | 5.57318i | −0.690252 | + | 0.184952i | ||||
\(909\) | −75.0722 | −2.48999 | ||||||||
\(910\) | 1.33677 | + | 13.0691i | 0.0443136 | + | 0.433236i | ||||
\(911\) | 22.8696 | 0.757704 | 0.378852 | − | 0.925457i | \(-0.376319\pi\) | ||||
0.378852 | + | 0.925457i | \(0.376319\pi\) | |||||||
\(912\) | 0.136346 | + | 0.508849i | 0.00451485 | + | 0.0168497i | ||||
\(913\) | −9.39639 | + | 4.95015i | −0.310975 | + | 0.163826i | ||||
\(914\) | −10.2177 | + | 5.89919i | −0.337971 | + | 0.195128i | ||||
\(915\) | −8.37131 | + | 20.3333i | −0.276747 | + | 0.672199i | ||||
\(916\) | 4.57786 | 0.151257 | ||||||||
\(917\) | −7.45334 | + | 24.7137i | −0.246131 | + | 0.816119i | ||||
\(918\) | 40.9513 | − | 40.9513i | 1.35159 | − | 1.35159i | ||||
\(919\) | −5.54258 | + | 9.60002i | −0.182833 | + | 0.316676i | −0.942844 | − | 0.333234i | \(-0.891860\pi\) |
0.760011 | + | 0.649910i | \(0.225193\pi\) | |||||||
\(920\) | −7.80540 | − | 1.01058i | −0.257336 | − | 0.0333179i | ||||
\(921\) | 41.1732 | − | 23.7713i | 1.35670 | − | 0.783293i | ||||
\(922\) | −24.9955 | + | 6.69752i | −0.823182 | + | 0.220571i | ||||
\(923\) | 16.8298 | + | 16.8298i | 0.553958 | + | 0.553958i | ||||
\(924\) | −26.1355 | + | 5.07940i | −0.859796 | + | 0.167100i | ||||
\(925\) | 28.7652 | − | 50.3198i | 0.945794 | − | 1.65451i | ||||
\(926\) | 11.7428 | + | 6.77970i | 0.385892 | + | 0.222795i | ||||
\(927\) | −6.93715 | + | 25.8898i | −0.227846 | + | 0.850333i | ||||
\(928\) | −6.40098 | − | 1.71514i | −0.210122 | − | 0.0563021i | ||||
\(929\) | −49.3826 | − | 28.5111i | −1.62019 | − | 0.935418i | −0.986868 | − | 0.161531i | \(-0.948357\pi\) |
−0.633324 | − | 0.773887i | \(-0.718310\pi\) | |||||||
\(930\) | 17.7224 | + | 13.5386i | 0.581140 | + | 0.443948i | ||||
\(931\) | −0.0755781 | + | 1.21301i | −0.00247697 | + | 0.0397548i | ||||
\(932\) | 18.2192 | − | 18.2192i | 0.596788 | − | 0.596788i | ||||
\(933\) | −4.25895 | − | 15.8946i | −0.139432 | − | 0.520367i | ||||
\(934\) | 1.77045 | + | 3.06651i | 0.0579309 | + | 0.100339i | ||||
\(935\) | −43.5348 | − | 7.36045i | −1.42374 | − | 0.240713i | ||||
\(936\) | 6.89059 | − | 11.9348i | 0.225226 | − | 0.390103i | ||||
\(937\) | 16.5248 | − | 16.5248i | 0.539843 | − | 0.539843i | −0.383640 | − | 0.923483i | \(-0.625330\pi\) |
0.923483 | + | 0.383640i | \(0.125330\pi\) | |||||||
\(938\) | 1.01927 | + | 4.33978i | 0.0332805 | + | 0.141699i | ||||
\(939\) | − | 87.3398i | − | 2.85023i | ||||||
\(940\) | −3.06747 | − | 1.26289i | −0.100050 | − | 0.0411909i | ||||
\(941\) | −29.3397 | + | 16.9393i | −0.956447 | + | 0.552205i | −0.895078 | − | 0.445910i | \(-0.852880\pi\) |
−0.0613692 | + | 0.998115i | \(0.519547\pi\) | |||||||
\(942\) | 23.2696 | + | 6.23506i | 0.758164 | + | 0.203149i | ||||
\(943\) | −16.2782 | + | 4.36173i | −0.530091 | + | 0.142037i | ||||
\(944\) | 14.1593i | 0.460845i | ||||||||
\(945\) | −56.8156 | − | 9.16121i | −1.84821 | − | 0.298014i | ||||
\(946\) | −11.7612 | − | 12.7094i | −0.382389 | − | 0.413219i | ||||
\(947\) | 5.52842 | − | 1.48134i | 0.179649 | − | 0.0481369i | −0.167873 | − | 0.985809i | \(-0.553690\pi\) |
0.347522 | + | 0.937672i | \(0.387023\pi\) | |||||||
\(948\) | −6.91723 | + | 25.8154i | −0.224661 | + | 0.838447i | ||||
\(949\) | 15.2789 | − | 8.82131i | 0.495976 | − | 0.286352i | ||||
\(950\) | 0.749943 | − | 0.437278i | 0.0243314 | − | 0.0141872i | ||||
\(951\) | 34.7145 | 1.12569 | ||||||||
\(952\) | −11.4792 | + | 10.7862i | −0.372041 | + | 0.349582i | ||||
\(953\) | 13.0527 | + | 13.0527i | 0.422818 | + | 0.422818i | 0.886173 | − | 0.463355i | \(-0.153354\pi\) |
−0.463355 | + | 0.886173i | \(0.653354\pi\) | |||||||
\(954\) | 20.8976 | − | 36.1957i | 0.676584 | − | 1.17188i | ||||
\(955\) | −30.3402 | − | 3.92821i | −0.981786 | − | 0.127114i | ||||
\(956\) | 0.979215 | − | 0.565350i | 0.0316701 | − | 0.0182847i | ||||
\(957\) | −35.5543 | + | 56.4175i | −1.14931 | + | 1.82372i | ||||
\(958\) | −22.4172 | + | 22.4172i | −0.724266 | + | 0.724266i | ||||
\(959\) | −8.36443 | − | 0.260326i | −0.270102 | − | 0.00840635i | ||||
\(960\) | 6.72460 | − | 0.899981i | 0.217036 | − | 0.0290468i | ||||
\(961\) | 10.0973 | − | 17.4890i | 0.325719 | − | 0.564162i | ||||
\(962\) | 6.66248 | − | 24.8647i | 0.214807 | − | 0.801670i | ||||
\(963\) | 23.6885 | − | 88.4068i | 0.763352 | − | 2.84887i | ||||
\(964\) | −11.0867 | + | 19.2028i | −0.357080 | + | 0.618481i | ||||
\(965\) | −30.1596 | + | 4.03639i | −0.970873 | + | 0.129936i | ||||
\(966\) | 13.3598 | + | 24.8978i | 0.429844 | + | 0.801072i | ||||
\(967\) | −9.95813 | + | 9.95813i | −0.320232 | + | 0.320232i | −0.848856 | − | 0.528624i | \(-0.822708\pi\) |
0.528624 | + | 0.848856i | \(0.322708\pi\) | |||||||
\(968\) | −2.01625 | − | 10.8136i | −0.0648048 | − | 0.347563i | ||||
\(969\) | 2.71613 | − | 1.56816i | 0.0872548 | − | 0.0503766i | ||||
\(970\) | 25.0028 | + | 3.23716i | 0.802791 | + | 0.103939i | ||||
\(971\) | 9.06218 | − | 15.6962i | 0.290819 | − | 0.503713i | −0.683185 | − | 0.730246i | \(-0.739406\pi\) |
0.974004 | + | 0.226532i | \(0.0727389\pi\) | |||||||
\(972\) | 2.74353 | + | 2.74353i | 0.0879989 | + | 0.0879989i | ||||
\(973\) | 8.23797 | + | 35.0749i | 0.264097 | + | 1.12445i | ||||
\(974\) | 5.92259 | 0.189772 | ||||||||
\(975\) | −32.5774 | − | 8.57954i | −1.04331 | − | 0.274765i | ||||
\(976\) | −2.80684 | + | 1.62053i | −0.0898447 | + | 0.0518718i | ||||
\(977\) | −5.99769 | + | 22.3837i | −0.191883 | + | 0.716117i | 0.801169 | + | 0.598438i | \(0.204212\pi\) |
−0.993052 | + | 0.117678i | \(0.962455\pi\) | |||||||
\(978\) | 19.8313 | − | 5.31377i | 0.634134 | − | 0.169916i | ||||
\(979\) | 0.539603 | − | 0.499344i | 0.0172458 | − | 0.0159591i | ||||
\(980\) | 15.3679 | + | 2.97120i | 0.490909 | + | 0.0949114i | ||||
\(981\) | 83.0127i | 2.65039i | ||||||||
\(982\) | −23.7137 | + | 6.35406i | −0.756734 | + | 0.202766i | ||||
\(983\) | −13.9535 | − | 3.73882i | −0.445046 | − | 0.119250i | 0.0293342 | − | 0.999570i | \(-0.490661\pi\) |
−0.474381 | + | 0.880320i | \(0.657328\pi\) | |||||||
\(984\) | 12.5809 | − | 7.26356i | 0.401063 | − | 0.231554i | ||||
\(985\) | 37.0002 | + | 15.2331i | 1.17892 | + | 0.485368i | ||||
\(986\) | 39.4528i | 1.25643i | ||||||||
\(987\) | 2.72298 | + | 11.5937i | 0.0866735 | + | 0.369031i | ||||
\(988\) | 0.272624 | − | 0.272624i | 0.00867332 | − | 0.00867332i | ||||
\(989\) | −9.18859 | + | 15.9151i | −0.292180 | + | 0.506071i | ||||
\(990\) | 7.67263 | − | 45.3813i | 0.243852 | − | 1.44231i | ||||
\(991\) | 4.95833 | + | 8.58807i | 0.157506 | + | 0.272809i | 0.933969 | − | 0.357354i | \(-0.116321\pi\) |
−0.776462 | + | 0.630164i | \(0.782988\pi\) | |||||||
\(992\) | 0.850780 | + | 3.17515i | 0.0270123 | + | 0.100811i | ||||
\(993\) | 7.07742 | − | 7.07742i | 0.224595 | − | 0.224595i | ||||
\(994\) | 24.9877 | − | 13.4080i | 0.792561 | − | 0.425277i | ||||
\(995\) | −25.9208 | − | 19.8016i | −0.821745 | − | 0.627753i | ||||
\(996\) | −8.41431 | − | 4.85800i | −0.266617 | − | 0.153932i | ||||
\(997\) | 8.45835 | + | 2.26641i | 0.267878 | + | 0.0717778i | 0.390258 | − | 0.920706i | \(-0.372386\pi\) |
−0.122379 | + | 0.992483i | \(0.539052\pi\) | |||||||
\(998\) | −4.88792 | + | 18.2420i | −0.154724 | + | 0.577439i | ||||
\(999\) | 97.6576 | + | 56.3827i | 3.08975 | + | 1.78387i |
(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.bd.a.527.2 | yes | 192 | |
5.3 | odd | 4 | inner | 770.2.bd.a.373.23 | yes | 192 | |
7.4 | even | 3 | inner | 770.2.bd.a.417.47 | yes | 192 | |
11.10 | odd | 2 | inner | 770.2.bd.a.527.26 | yes | 192 | |
35.18 | odd | 12 | inner | 770.2.bd.a.263.26 | yes | 192 | |
55.43 | even | 4 | inner | 770.2.bd.a.373.47 | yes | 192 | |
77.32 | odd | 6 | inner | 770.2.bd.a.417.23 | yes | 192 | |
385.263 | even | 12 | inner | 770.2.bd.a.263.2 | ✓ | 192 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bd.a.263.2 | ✓ | 192 | 385.263 | even | 12 | inner | |
770.2.bd.a.263.26 | yes | 192 | 35.18 | odd | 12 | inner | |
770.2.bd.a.373.23 | yes | 192 | 5.3 | odd | 4 | inner | |
770.2.bd.a.373.47 | yes | 192 | 55.43 | even | 4 | inner | |
770.2.bd.a.417.23 | yes | 192 | 77.32 | odd | 6 | inner | |
770.2.bd.a.417.47 | yes | 192 | 7.4 | even | 3 | inner | |
770.2.bd.a.527.2 | yes | 192 | 1.1 | even | 1 | trivial | |
770.2.bd.a.527.26 | yes | 192 | 11.10 | odd | 2 | inner |