Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [175,2,Mod(3,175)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(175, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([21, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("175.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 175 = 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 175.x (of order \(60\), degree \(16\), 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: | \(1.39738203537\) |
Analytic rank: | \(0\) |
Dimension: | \(288\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 122.18 | ||
Character | \(\chi\) | \(=\) | 175.122 |
Dual form | 175.2.x.a.33.18 |
$q$-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 \(\left(\mathbb{Z}/175\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{17}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.03786 | + | 1.32340i | 1.44099 | + | 0.935787i | 0.999253 | + | 0.0386405i | \(0.0123027\pi\) |
0.441733 | + | 0.897147i | \(0.354364\pi\) | |||||||
\(3\) | −2.14641 | − | 0.823930i | −1.23923 | − | 0.475696i | −0.351556 | − | 0.936167i | \(-0.614347\pi\) |
−0.887675 | + | 0.460471i | \(0.847681\pi\) | |||||||
\(4\) | 1.58801 | + | 3.56673i | 0.794006 | + | 1.78337i | ||||
\(5\) | −0.304662 | + | 2.21522i | −0.136249 | + | 0.990675i | ||||
\(6\) | −3.28370 | − | 4.51962i | −1.34056 | − | 1.84513i | ||||
\(7\) | 2.14884 | + | 1.54352i | 0.812187 | + | 0.583397i | ||||
\(8\) | −0.723845 | + | 4.57018i | −0.255918 | + | 1.61580i | ||||
\(9\) | 1.69878 | + | 1.52959i | 0.566261 | + | 0.509864i | ||||
\(10\) | −3.55248 | + | 4.11111i | −1.12339 | + | 1.30005i | ||||
\(11\) | 0.0112005 | + | 0.0124395i | 0.00337709 | + | 0.00375064i | 0.744831 | − | 0.667253i | \(-0.232530\pi\) |
−0.741454 | + | 0.671004i | \(0.765863\pi\) | |||||||
\(12\) | −0.469788 | − | 8.96408i | −0.135616 | − | 2.58771i | ||||
\(13\) | 1.39124 | − | 2.73047i | 0.385862 | − | 0.757297i | −0.613616 | − | 0.789605i | \(-0.710286\pi\) |
0.999478 | + | 0.0323079i | \(0.0102857\pi\) | |||||||
\(14\) | 2.33634 | + | 5.98928i | 0.624414 | + | 1.60070i | ||||
\(15\) | 2.47911 | − | 4.50374i | 0.640104 | − | 1.16286i | ||||
\(16\) | −2.29834 | + | 2.55257i | −0.574586 | + | 0.638142i | ||||
\(17\) | −5.48928 | − | 4.44513i | −1.33135 | − | 1.07810i | −0.990431 | − | 0.138008i | \(-0.955930\pi\) |
−0.340914 | − | 0.940094i | \(-0.610737\pi\) | |||||||
\(18\) | 1.43762 | + | 5.36527i | 0.338850 | + | 1.26461i | ||||
\(19\) | 2.90112 | + | 1.29166i | 0.665563 | + | 0.296328i | 0.711572 | − | 0.702613i | \(-0.247984\pi\) |
−0.0460087 | + | 0.998941i | \(0.514650\pi\) | |||||||
\(20\) | −8.38489 | + | 2.43114i | −1.87492 | + | 0.543620i | ||||
\(21\) | −3.34055 | − | 5.08353i | −0.728967 | − | 1.10932i | ||||
\(22\) | 0.00636273 | + | 0.0401727i | 0.00135654 | + | 0.00856485i | ||||
\(23\) | 2.98285 | − | 4.59318i | 0.621966 | − | 0.957744i | −0.377530 | − | 0.925997i | \(-0.623226\pi\) |
0.999496 | − | 0.0317465i | \(-0.0101069\pi\) | |||||||
\(24\) | 5.31918 | − | 9.21308i | 1.08577 | − | 1.88061i | ||||
\(25\) | −4.81436 | − | 1.34978i | −0.962872 | − | 0.269957i | ||||
\(26\) | 6.44868 | − | 3.72315i | 1.26469 | − | 0.730169i | ||||
\(27\) | 0.745322 | + | 1.46278i | 0.143437 | + | 0.281512i | ||||
\(28\) | −2.09295 | + | 10.1155i | −0.395530 | + | 1.91165i | ||||
\(29\) | −0.0353871 | + | 0.0487062i | −0.00657122 | + | 0.00904451i | −0.812290 | − | 0.583254i | \(-0.801779\pi\) |
0.805719 | + | 0.592298i | \(0.201779\pi\) | |||||||
\(30\) | 11.0124 | − | 5.89714i | 2.01057 | − | 1.07667i | ||||
\(31\) | 8.96709 | − | 0.942479i | 1.61054 | − | 0.169274i | 0.743927 | − | 0.668260i | \(-0.232961\pi\) |
0.866610 | + | 0.498986i | \(0.166294\pi\) | |||||||
\(32\) | 0.877177 | − | 0.235039i | 0.155065 | − | 0.0415494i | ||||
\(33\) | −0.0137917 | − | 0.0359286i | −0.00240083 | − | 0.00625437i | ||||
\(34\) | −5.30369 | − | 16.3231i | −0.909576 | − | 2.79939i | ||||
\(35\) | −4.07391 | + | 4.28990i | −0.688617 | + | 0.725126i | ||||
\(36\) | −2.75796 | + | 8.48811i | −0.459659 | + | 1.41469i | ||||
\(37\) | −8.39052 | + | 0.439728i | −1.37939 | + | 0.0722909i | −0.727546 | − | 0.686059i | \(-0.759339\pi\) |
−0.651847 | + | 0.758350i | \(0.726006\pi\) | |||||||
\(38\) | 4.20270 | + | 6.47159i | 0.681768 | + | 1.04983i | ||||
\(39\) | −5.23590 | + | 4.71442i | −0.838415 | + | 0.754912i | ||||
\(40\) | −9.90340 | − | 2.99583i | −1.56587 | − | 0.473683i | ||||
\(41\) | −5.83738 | + | 1.89668i | −0.911646 | + | 0.296212i | −0.727035 | − | 0.686600i | \(-0.759102\pi\) |
−0.184610 | + | 0.982812i | \(0.559102\pi\) | |||||||
\(42\) | −0.0800095 | − | 14.7804i | −0.0123457 | − | 2.28067i | ||||
\(43\) | −3.18681 | + | 3.18681i | −0.485984 | + | 0.485984i | −0.907036 | − | 0.421052i | \(-0.861661\pi\) |
0.421052 | + | 0.907036i | \(0.361661\pi\) | |||||||
\(44\) | −0.0265816 | + | 0.0597034i | −0.00400733 | + | 0.00900062i | ||||
\(45\) | −3.90593 | + | 3.29716i | −0.582261 | + | 0.491512i | ||||
\(46\) | 12.1573 | − | 5.41276i | 1.79249 | − | 0.798068i | ||||
\(47\) | −2.89679 | − | 3.57724i | −0.422541 | − | 0.521794i | 0.520774 | − | 0.853695i | \(-0.325644\pi\) |
−0.943314 | + | 0.331900i | \(0.892310\pi\) | |||||||
\(48\) | 7.03633 | − | 3.58519i | 1.01561 | − | 0.517477i | ||||
\(49\) | 2.23507 | + | 6.63359i | 0.319295 | + | 0.947655i | ||||
\(50\) | −8.02470 | − | 9.12201i | −1.13486 | − | 1.29005i | ||||
\(51\) | 8.11977 | + | 14.0639i | 1.13700 | + | 1.96933i | ||||
\(52\) | 11.9482 | + | 0.626178i | 1.65691 | + | 0.0868352i | ||||
\(53\) | 1.55951 | − | 4.06266i | 0.214215 | − | 0.558050i | −0.783801 | − | 0.621012i | \(-0.786722\pi\) |
0.998016 | + | 0.0629629i | \(0.0200550\pi\) | |||||||
\(54\) | −0.416980 | + | 3.96730i | −0.0567438 | + | 0.539881i | ||||
\(55\) | −0.0309685 | + | 0.0210218i | −0.00417579 | + | 0.00283458i | ||||
\(56\) | −8.60961 | + | 8.70333i | −1.15051 | + | 1.16303i | ||||
\(57\) | −5.16276 | − | 5.16276i | −0.683825 | − | 0.683825i | ||||
\(58\) | −0.136572 | + | 0.0524250i | −0.0179328 | + | 0.00688374i | ||||
\(59\) | 2.45075 | + | 0.520924i | 0.319061 | + | 0.0678185i | 0.364658 | − | 0.931141i | \(-0.381186\pi\) |
−0.0455974 | + | 0.998960i | \(0.514519\pi\) | |||||||
\(60\) | 20.0005 | + | 1.69033i | 2.58205 | + | 0.218221i | ||||
\(61\) | 2.77436 | + | 13.0523i | 0.355221 | + | 1.67118i | 0.686099 | + | 0.727509i | \(0.259322\pi\) |
−0.330878 | + | 0.943674i | \(0.607345\pi\) | |||||||
\(62\) | 19.5210 | + | 9.94643i | 2.47917 | + | 1.26320i | ||||
\(63\) | 1.28946 | + | 5.90896i | 0.162457 | + | 0.744460i | ||||
\(64\) | 8.63203 | + | 2.80472i | 1.07900 | + | 0.350590i | ||||
\(65\) | 5.62472 | + | 3.91378i | 0.697661 | + | 0.485444i | ||||
\(66\) | 0.0194425 | − | 0.0914696i | 0.00239320 | − | 0.0112591i | ||||
\(67\) | 0.200158 | − | 0.247175i | 0.0244532 | − | 0.0301972i | −0.764773 | − | 0.644300i | \(-0.777149\pi\) |
0.789226 | + | 0.614103i | \(0.210482\pi\) | |||||||
\(68\) | 7.13755 | − | 26.6377i | 0.865556 | − | 3.23030i | ||||
\(69\) | −10.1869 | + | 7.40119i | −1.22635 | + | 0.890999i | ||||
\(70\) | −13.9793 | + | 3.35080i | −1.67085 | + | 0.400497i | ||||
\(71\) | −6.35569 | − | 4.61768i | −0.754282 | − | 0.548018i | 0.142869 | − | 0.989742i | \(-0.454367\pi\) |
−0.897151 | + | 0.441724i | \(0.854367\pi\) | |||||||
\(72\) | −8.22016 | + | 6.65655i | −0.968755 | + | 0.784482i | ||||
\(73\) | 0.174974 | − | 3.33870i | 0.0204791 | − | 0.390765i | −0.969090 | − | 0.246707i | \(-0.920651\pi\) |
0.989569 | − | 0.144058i | \(-0.0460152\pi\) | |||||||
\(74\) | −17.6807 | − | 10.2079i | −2.05533 | − | 1.18665i | ||||
\(75\) | 9.22147 | + | 6.86389i | 1.06480 | + | 0.792573i | ||||
\(76\) | 12.3987i | 1.42223i | ||||||||
\(77\) | 0.00486761 | + | 0.0440188i | 0.000554716 | + | 0.00501640i | ||||
\(78\) | −16.9091 | + | 2.67814i | −1.91458 | + | 0.303240i | ||||
\(79\) | −5.32825 | − | 0.560021i | −0.599475 | − | 0.0630073i | −0.200069 | − | 0.979782i | \(-0.564117\pi\) |
−0.399405 | + | 0.916774i | \(0.630783\pi\) | |||||||
\(80\) | −4.95427 | − | 5.86900i | −0.553905 | − | 0.656174i | ||||
\(81\) | −1.11138 | − | 10.5741i | −0.123486 | − | 1.17490i | ||||
\(82\) | −14.4058 | − | 3.86003i | −1.59086 | − | 0.426270i | ||||
\(83\) | −8.63403 | − | 1.36750i | −0.947708 | − | 0.150102i | −0.336599 | − | 0.941648i | \(-0.609277\pi\) |
−0.611110 | + | 0.791546i | \(0.709277\pi\) | |||||||
\(84\) | 12.8268 | − | 19.9876i | 1.39952 | − | 2.18082i | ||||
\(85\) | 11.5193 | − | 10.8057i | 1.24944 | − | 1.17204i | ||||
\(86\) | −10.7117 | + | 2.27684i | −1.15507 | + | 0.245518i | ||||
\(87\) | 0.116086 | − | 0.0753869i | 0.0124457 | − | 0.00808233i | ||||
\(88\) | −0.0649580 | + | 0.0421842i | −0.00692455 | + | 0.00449685i | ||||
\(89\) | 8.18738 | − | 1.74028i | 0.867861 | − | 0.184470i | 0.247597 | − | 0.968863i | \(-0.420359\pi\) |
0.620264 | + | 0.784394i | \(0.287026\pi\) | |||||||
\(90\) | −12.3232 | + | 1.55004i | −1.29898 | + | 0.163389i | ||||
\(91\) | 7.20412 | − | 3.71994i | 0.755197 | − | 0.389956i | ||||
\(92\) | 21.1194 | + | 3.34499i | 2.20185 | + | 0.348739i | ||||
\(93\) | −20.0236 | − | 5.36531i | −2.07635 | − | 0.556356i | ||||
\(94\) | −1.16913 | − | 11.1236i | −0.120587 | − | 1.14731i | ||||
\(95\) | −3.74518 | + | 6.03309i | −0.384247 | + | 0.618982i | ||||
\(96\) | −2.07644 | − | 0.218242i | −0.211926 | − | 0.0222743i | ||||
\(97\) | −6.79613 | + | 1.07640i | −0.690043 | + | 0.109292i | −0.491601 | − | 0.870821i | \(-0.663588\pi\) |
−0.198442 | + | 0.980113i | \(0.563588\pi\) | |||||||
\(98\) | −4.22415 | + | 16.4762i | −0.426704 | + | 1.66435i | ||||
\(99\) | 0.0382642i | 0.00384569i | ||||||||
\(100\) | −2.83095 | − | 19.3150i | −0.283095 | − | 1.93150i | ||||
\(101\) | −9.18326 | − | 5.30196i | −0.913768 | − | 0.527564i | −0.0321267 | − | 0.999484i | \(-0.510228\pi\) |
−0.881642 | + | 0.471919i | \(0.843561\pi\) | |||||||
\(102\) | −2.06518 | + | 39.4059i | −0.204483 | + | 3.90177i | ||||
\(103\) | 0.170043 | − | 0.137698i | 0.0167548 | − | 0.0135678i | −0.620906 | − | 0.783885i | \(-0.713235\pi\) |
0.637661 | + | 0.770317i | \(0.279902\pi\) | |||||||
\(104\) | 11.4717 | + | 8.33468i | 1.12489 | + | 0.817282i | ||||
\(105\) | 12.2789 | − | 5.85127i | 1.19829 | − | 0.571026i | ||||
\(106\) | 8.55461 | − | 6.21528i | 0.830897 | − | 0.603682i | ||||
\(107\) | −1.26699 | + | 4.72847i | −0.122485 | + | 0.457119i | −0.999738 | − | 0.0229097i | \(-0.992707\pi\) |
0.877253 | + | 0.480028i | \(0.159374\pi\) | |||||||
\(108\) | −4.03376 | + | 4.98127i | −0.388148 | + | 0.479323i | ||||
\(109\) | −1.60438 | + | 7.54803i | −0.153672 | + | 0.722970i | 0.832065 | + | 0.554678i | \(0.187158\pi\) |
−0.985737 | + | 0.168292i | \(0.946175\pi\) | |||||||
\(110\) | −0.0909297 | + | 0.00185573i | −0.00866981 | + | 0.000176937i | ||||
\(111\) | 18.3718 | + | 5.96936i | 1.74377 | + | 0.566587i | ||||
\(112\) | −8.87874 | + | 1.93753i | −0.838962 | + | 0.183079i | ||||
\(113\) | −3.56746 | − | 1.81771i | −0.335599 | − | 0.170996i | 0.278068 | − | 0.960561i | \(-0.410306\pi\) |
−0.613666 | + | 0.789565i | \(0.710306\pi\) | |||||||
\(114\) | −3.68858 | − | 17.3534i | −0.345467 | − | 1.62530i | ||||
\(115\) | 9.26612 | + | 8.00701i | 0.864070 | + | 0.746658i | ||||
\(116\) | −0.229917 | − | 0.0488704i | −0.0213473 | − | 0.00453750i | ||||
\(117\) | 6.53993 | − | 2.51044i | 0.604616 | − | 0.232091i | ||||
\(118\) | 4.30491 | + | 4.30491i | 0.396299 | + | 0.396299i | ||||
\(119\) | −4.93444 | − | 18.0247i | −0.452339 | − | 1.65232i | ||||
\(120\) | 18.7884 | + | 14.5900i | 1.71514 | + | 1.33188i | ||||
\(121\) | 1.14978 | − | 10.9395i | 0.104526 | − | 0.994497i | ||||
\(122\) | −11.6198 | + | 30.2705i | −1.05200 | + | 2.74056i | ||||
\(123\) | 14.0921 | + | 0.738538i | 1.27065 | + | 0.0665917i | ||||
\(124\) | 17.6014 | + | 30.4866i | 1.58065 | + | 2.73777i | ||||
\(125\) | 4.45681 | − | 10.2536i | 0.398630 | − | 0.917112i | ||||
\(126\) | −5.19220 | + | 13.7481i | −0.462558 | + | 1.22478i | ||||
\(127\) | 6.49211 | − | 3.30790i | 0.576082 | − | 0.293528i | −0.141572 | − | 0.989928i | \(-0.545216\pi\) |
0.717654 | + | 0.696399i | \(0.245216\pi\) | |||||||
\(128\) | 12.7361 | + | 15.7278i | 1.12572 | + | 1.39015i | ||||
\(129\) | 9.46591 | − | 4.21449i | 0.833427 | − | 0.371065i | ||||
\(130\) | 6.28291 | + | 15.4195i | 0.551047 | + | 1.35238i | ||||
\(131\) | −4.81183 | + | 10.8075i | −0.420412 | + | 0.944260i | 0.571880 | + | 0.820337i | \(0.306214\pi\) |
−0.992292 | + | 0.123923i | \(0.960452\pi\) | |||||||
\(132\) | 0.106246 | − | 0.106246i | 0.00924757 | − | 0.00924757i | ||||
\(133\) | 4.24035 | + | 7.25354i | 0.367685 | + | 0.628962i | ||||
\(134\) | 0.735006 | − | 0.238818i | 0.0634949 | − | 0.0206307i | ||||
\(135\) | −3.46744 | + | 1.20540i | −0.298430 | + | 0.103744i | ||||
\(136\) | 24.2884 | − | 21.8694i | 2.08272 | − | 1.87529i | ||||
\(137\) | −1.79416 | − | 2.76276i | −0.153285 | − | 0.236039i | 0.753682 | − | 0.657239i | \(-0.228276\pi\) |
−0.906968 | + | 0.421200i | \(0.861609\pi\) | |||||||
\(138\) | −30.5542 | + | 1.60128i | −2.60094 | + | 0.136310i | ||||
\(139\) | 1.40509 | − | 4.32443i | 0.119179 | − | 0.366794i | −0.873617 | − | 0.486614i | \(-0.838232\pi\) |
0.992796 | + | 0.119820i | \(0.0382318\pi\) | |||||||
\(140\) | −21.7704 | − | 7.71814i | −1.83993 | − | 0.652302i | ||||
\(141\) | 3.27031 | + | 10.0650i | 0.275410 | + | 0.847625i | ||||
\(142\) | −6.84097 | − | 17.8213i | −0.574082 | − | 1.49553i | ||||
\(143\) | 0.0495483 | − | 0.0132764i | 0.00414344 | − | 0.00111023i | ||||
\(144\) | −7.80877 | + | 0.820735i | −0.650731 | + | 0.0683946i | ||||
\(145\) | −0.0971136 | − | 0.0932290i | −0.00806484 | − | 0.00774224i | ||||
\(146\) | 4.77502 | − | 6.57225i | 0.395183 | − | 0.543923i | ||||
\(147\) | 0.668241 | − | 16.0799i | 0.0551156 | − | 1.32625i | ||||
\(148\) | −14.8926 | − | 29.2285i | −1.22417 | − | 2.40256i | ||||
\(149\) | −15.7486 | + | 9.09246i | −1.29018 | + | 0.744884i | −0.978685 | − | 0.205366i | \(-0.934162\pi\) |
−0.311491 | + | 0.950249i | \(0.600828\pi\) | |||||||
\(150\) | 9.70840 | + | 26.1914i | 0.792687 | + | 2.13852i | ||||
\(151\) | 9.44990 | − | 16.3677i | 0.769022 | − | 1.33198i | −0.169072 | − | 0.985604i | \(-0.554077\pi\) |
0.938094 | − | 0.346381i | \(-0.112590\pi\) | |||||||
\(152\) | −8.00310 | + | 12.3237i | −0.649137 | + | 0.999583i | ||||
\(153\) | −2.52586 | − | 15.9477i | −0.204204 | − | 1.28929i | ||||
\(154\) | −0.0483350 | + | 0.0961460i | −0.00389495 | + | 0.00774766i | ||||
\(155\) | −0.644136 | + | 20.1512i | −0.0517382 | + | 1.61858i | ||||
\(156\) | −25.1298 | − | 11.1885i | −2.01199 | − | 0.895796i | ||||
\(157\) | −4.20781 | − | 15.7038i | −0.335820 | − | 1.25330i | −0.902978 | − | 0.429688i | \(-0.858624\pi\) |
0.567158 | − | 0.823609i | \(-0.308043\pi\) | |||||||
\(158\) | −10.1171 | − | 8.19266i | −0.804873 | − | 0.651773i | ||||
\(159\) | −6.69470 | + | 7.43521i | −0.530924 | + | 0.589651i | ||||
\(160\) | 0.253420 | + | 2.01474i | 0.0200346 | + | 0.159280i | ||||
\(161\) | 13.4994 | − | 5.26593i | 1.06390 | − | 0.415014i | ||||
\(162\) | 11.7289 | − | 23.0193i | 0.921510 | − | 1.80856i | ||||
\(163\) | 0.490229 | + | 9.35413i | 0.0383977 | + | 0.732672i | 0.948208 | + | 0.317649i | \(0.102893\pi\) |
−0.909811 | + | 0.415023i | \(0.863773\pi\) | |||||||
\(164\) | −16.0348 | − | 17.8084i | −1.25211 | − | 1.39060i | ||||
\(165\) | 0.0837915 | − | 0.0196055i | 0.00652316 | − | 0.00152629i | ||||
\(166\) | −15.7852 | − | 14.2131i | −1.22517 | − | 1.10315i | ||||
\(167\) | −1.18224 | + | 7.46435i | −0.0914842 | + | 0.577608i | 0.898779 | + | 0.438402i | \(0.144455\pi\) |
−0.990263 | + | 0.139207i | \(0.955545\pi\) | |||||||
\(168\) | 25.6507 | − | 11.5872i | 1.97899 | − | 0.893972i | ||||
\(169\) | 2.12129 | + | 2.91971i | 0.163177 | + | 0.224593i | ||||
\(170\) | 37.7750 | − | 6.77580i | 2.89721 | − | 0.519680i | ||||
\(171\) | 2.95266 | + | 6.63179i | 0.225796 | + | 0.507145i | ||||
\(172\) | −16.4272 | − | 6.30581i | −1.25256 | − | 0.480813i | ||||
\(173\) | 19.6275 | + | 12.7463i | 1.49225 | + | 0.969080i | 0.994828 | + | 0.101572i | \(0.0323871\pi\) |
0.497423 | + | 0.867508i | \(0.334280\pi\) | |||||||
\(174\) | 0.336334 | 0.0254974 | ||||||||
\(175\) | −8.26189 | − | 10.3316i | −0.624540 | − | 0.780993i | ||||
\(176\) | −0.0574953 | −0.00433387 | ||||||||
\(177\) | −4.83112 | − | 3.13737i | −0.363129 | − | 0.235819i | ||||
\(178\) | 18.9878 | + | 7.28875i | 1.42320 | + | 0.546315i | ||||
\(179\) | 5.54190 | + | 12.4473i | 0.414221 | + | 0.930356i | 0.993351 | + | 0.115121i | \(0.0367256\pi\) |
−0.579130 | + | 0.815235i | \(0.696608\pi\) | |||||||
\(180\) | −17.9628 | − | 8.69547i | −1.33887 | − | 0.648122i | ||||
\(181\) | −3.38018 | − | 4.65241i | −0.251247 | − | 0.345811i | 0.664701 | − | 0.747110i | \(-0.268559\pi\) |
−0.915947 | + | 0.401298i | \(0.868559\pi\) | |||||||
\(182\) | 19.6040 | + | 1.95323i | 1.45314 | + | 0.144783i | ||||
\(183\) | 4.79930 | − | 30.3016i | 0.354774 | − | 2.23996i | ||||
\(184\) | 18.8325 | + | 16.9569i | 1.38835 | + | 1.25008i | ||||
\(185\) | 1.58218 | − | 18.7208i | 0.116324 | − | 1.37638i | ||||
\(186\) | −33.7049 | − | 37.4330i | −2.47136 | − | 2.74472i | ||||
\(187\) | −0.00618787 | − | 0.118072i | −0.000452502 | − | 0.00863424i | ||||
\(188\) | 8.15893 | − | 16.0128i | 0.595051 | − | 1.16785i | ||||
\(189\) | −0.656250 | + | 4.29370i | −0.0477352 | + | 0.312321i | ||||
\(190\) | −15.6164 | + | 7.33824i | −1.13293 | + | 0.532372i | ||||
\(191\) | −9.91552 | + | 11.0123i | −0.717462 | + | 0.796822i | −0.986053 | − | 0.166432i | \(-0.946775\pi\) |
0.268591 | + | 0.963254i | \(0.413442\pi\) | |||||||
\(192\) | −16.2170 | − | 13.1323i | −1.17036 | − | 0.947740i | ||||
\(193\) | 4.30663 | + | 16.0726i | 0.309998 | + | 1.15693i | 0.928557 | + | 0.371191i | \(0.121050\pi\) |
−0.618558 | + | 0.785739i | \(0.712283\pi\) | |||||||
\(194\) | −15.2741 | − | 6.80046i | −1.09662 | − | 0.488245i | ||||
\(195\) | −8.84829 | − | 13.0350i | −0.633639 | − | 0.933452i | ||||
\(196\) | −20.1109 | + | 18.5061i | −1.43649 | + | 1.32186i | ||||
\(197\) | 2.43376 | + | 15.3662i | 0.173398 | + | 1.09479i | 0.908821 | + | 0.417185i | \(0.136983\pi\) |
−0.735423 | + | 0.677608i | \(0.763017\pi\) | |||||||
\(198\) | −0.0506389 | + | 0.0779771i | −0.00359875 | + | 0.00554159i | ||||
\(199\) | −0.988951 | + | 1.71291i | −0.0701049 | + | 0.121425i | −0.898947 | − | 0.438057i | \(-0.855667\pi\) |
0.828842 | + | 0.559482i | \(0.189000\pi\) | |||||||
\(200\) | 9.65361 | − | 21.0255i | 0.682613 | − | 1.48672i | ||||
\(201\) | −0.633276 | + | 0.365622i | −0.0446678 | + | 0.0257890i | ||||
\(202\) | −11.6976 | − | 22.9578i | −0.823039 | − | 1.61531i | ||||
\(203\) | −0.151221 | + | 0.0500411i | −0.0106136 | + | 0.00351220i | ||||
\(204\) | −37.2677 | + | 51.2946i | −2.60926 | + | 3.59134i | ||||
\(205\) | −2.42313 | − | 13.5089i | −0.169239 | − | 0.943503i | ||||
\(206\) | 0.528754 | − | 0.0555743i | 0.0368401 | − | 0.00387205i | ||||
\(207\) | 12.0929 | − | 3.24028i | 0.840514 | − | 0.225215i | ||||
\(208\) | 3.77216 | + | 9.82681i | 0.261552 | + | 0.681367i | ||||
\(209\) | 0.0164266 | + | 0.0505557i | 0.00113625 | + | 0.00349701i | ||||
\(210\) | 32.7662 | + | 4.32579i | 2.26108 | + | 0.298508i | ||||
\(211\) | 2.82445 | − | 8.69276i | 0.194443 | − | 0.598434i | −0.805540 | − | 0.592542i | \(-0.798124\pi\) |
0.999983 | − | 0.00589215i | \(-0.00187554\pi\) | |||||||
\(212\) | 16.9670 | − | 0.889200i | 1.16530 | − | 0.0610705i | ||||
\(213\) | 9.83728 | + | 15.1481i | 0.674040 | + | 1.03793i | ||||
\(214\) | −8.83963 | + | 7.95924i | −0.604264 | + | 0.544082i | ||||
\(215\) | −6.08857 | − | 8.03037i | −0.415237 | − | 0.547667i | ||||
\(216\) | −7.22465 | + | 2.34743i | −0.491575 | + | 0.159722i | ||||
\(217\) | 20.7236 | + | 11.8157i | 1.40681 | + | 0.802101i | ||||
\(218\) | −13.2586 | + | 13.2586i | −0.897985 | + | 0.897985i | ||||
\(219\) | −3.12642 | + | 7.02205i | −0.211264 | + | 0.474506i | ||||
\(220\) | −0.124157 | − | 0.0770734i | −0.00837069 | − | 0.00519629i | ||||
\(221\) | −19.7742 | + | 8.80405i | −1.33016 | + | 0.592225i | ||||
\(222\) | 29.5393 | + | 36.4780i | 1.98255 | + | 2.44824i | ||||
\(223\) | −6.62726 | + | 3.37676i | −0.443794 | + | 0.226124i | −0.661584 | − | 0.749871i | \(-0.730115\pi\) |
0.217789 | + | 0.975996i | \(0.430115\pi\) | |||||||
\(224\) | 2.24771 | + | 0.848882i | 0.150181 | + | 0.0567183i | ||||
\(225\) | −6.11394 | − | 9.65699i | −0.407596 | − | 0.643800i | ||||
\(226\) | −4.86443 | − | 8.42544i | −0.323577 | − | 0.560452i | ||||
\(227\) | −11.7014 | − | 0.613246i | −0.776651 | − | 0.0407026i | −0.340109 | − | 0.940386i | \(-0.610464\pi\) |
−0.436543 | + | 0.899684i | \(0.643797\pi\) | |||||||
\(228\) | 10.2157 | − | 26.6127i | 0.676549 | − | 1.76247i | ||||
\(229\) | 2.81607 | − | 26.7931i | 0.186091 | − | 1.77054i | −0.360134 | − | 0.932901i | \(-0.617269\pi\) |
0.546225 | − | 0.837638i | \(-0.316064\pi\) | |||||||
\(230\) | 8.28657 | + | 28.5800i | 0.546401 | + | 1.88451i | ||||
\(231\) | 0.0258205 | − | 0.0984929i | 0.00169886 | − | 0.00648036i | ||||
\(232\) | −0.196981 | − | 0.196981i | −0.0129324 | − | 0.0129324i | ||||
\(233\) | 20.3954 | − | 7.82907i | 1.33615 | − | 0.512900i | 0.417753 | − | 0.908561i | \(-0.362818\pi\) |
0.918397 | + | 0.395661i | \(0.129485\pi\) | |||||||
\(234\) | 16.6498 | + | 3.53902i | 1.08843 | + | 0.231353i | ||||
\(235\) | 8.80691 | − | 5.32717i | 0.574499 | − | 0.347507i | ||||
\(236\) | 2.03383 | + | 9.56842i | 0.132391 | + | 0.622851i | ||||
\(237\) | 10.9752 | + | 5.59214i | 0.712915 | + | 0.363248i | ||||
\(238\) | 13.7983 | − | 43.2622i | 0.894409 | − | 2.80427i | ||||
\(239\) | −4.05851 | − | 1.31869i | −0.262523 | − | 0.0852989i | 0.174798 | − | 0.984604i | \(-0.444073\pi\) |
−0.437321 | + | 0.899305i | \(0.644073\pi\) | |||||||
\(240\) | 5.79826 | + | 16.6792i | 0.374276 | + | 1.07664i | ||||
\(241\) | 0.0341430 | − | 0.160630i | 0.00219934 | − | 0.0103471i | −0.977034 | − | 0.213082i | \(-0.931650\pi\) |
0.979234 | + | 0.202735i | \(0.0649831\pi\) | |||||||
\(242\) | 16.8204 | − | 20.7715i | 1.08126 | − | 1.33524i | ||||
\(243\) | −5.05209 | + | 18.8546i | −0.324092 | + | 1.20953i | ||||
\(244\) | −42.1485 | + | 30.6227i | −2.69828 | + | 1.96042i | ||||
\(245\) | −15.3758 | + | 2.93015i | −0.982322 | + | 0.187201i | ||||
\(246\) | 27.7405 | + | 20.1546i | 1.76867 | + | 1.28501i | ||||
\(247\) | 7.56302 | − | 6.12442i | 0.481224 | − | 0.389687i | ||||
\(248\) | −2.18349 | + | 41.6634i | −0.138652 | + | 2.64563i | ||||
\(249\) | 17.4055 | + | 10.0490i | 1.10303 | + | 0.636832i | ||||
\(250\) | 22.6520 | − | 14.9973i | 1.43264 | − | 0.948513i | ||||
\(251\) | − | 0.132304i | − | 0.00835098i | −0.999991 | − | 0.00417549i | \(-0.998671\pi\) | ||
0.999991 | − | 0.00417549i | \(-0.00132910\pi\) | |||||||
\(252\) | −19.0280 | + | 13.9827i | −1.19865 | + | 0.880825i | ||||
\(253\) | 0.0905461 | − | 0.0143411i | 0.00569259 | − | 0.000901617i | ||||
\(254\) | 17.6077 | + | 1.85065i | 1.10481 | + | 0.116120i | ||||
\(255\) | −33.6283 | + | 13.7023i | −2.10588 | + | 0.858073i | ||||
\(256\) | 3.24278 | + | 30.8530i | 0.202674 | + | 1.92831i | ||||
\(257\) | −8.87663 | − | 2.37849i | −0.553709 | − | 0.148366i | −0.0288944 | − | 0.999582i | \(-0.509199\pi\) |
−0.524815 | + | 0.851217i | \(0.675865\pi\) | |||||||
\(258\) | 24.8677 | + | 3.93865i | 1.54819 | + | 0.245210i | ||||
\(259\) | −18.7087 | − | 12.0061i | −1.16250 | − | 0.746020i | ||||
\(260\) | −5.02727 | + | 26.2770i | −0.311778 | + | 1.62963i | ||||
\(261\) | −0.134615 | + | 0.0286134i | −0.00833249 | + | 0.00177113i | ||||
\(262\) | −24.1086 | + | 15.6563i | −1.48943 | + | 0.967249i | ||||
\(263\) | 17.5431 | − | 11.3926i | 1.08175 | − | 0.702499i | 0.124637 | − | 0.992202i | \(-0.460223\pi\) |
0.957117 | + | 0.289703i | \(0.0935566\pi\) | |||||||
\(264\) | 0.174183 | − | 0.0370238i | 0.0107202 | − | 0.00227866i | ||||
\(265\) | 8.52455 | + | 4.69239i | 0.523659 | + | 0.288251i | ||||
\(266\) | −0.958107 | + | 20.3934i | −0.0587453 | + | 1.25040i | ||||
\(267\) | −19.0074 | − | 3.01047i | −1.16323 | − | 0.184238i | ||||
\(268\) | 1.19946 | + | 0.321394i | 0.0732687 | + | 0.0196323i | ||||
\(269\) | 0.158106 | + | 1.50428i | 0.00963991 | + | 0.0917176i | 0.998284 | − | 0.0585585i | \(-0.0186504\pi\) |
−0.988644 | + | 0.150276i | \(0.951984\pi\) | |||||||
\(270\) | −8.66139 | − | 2.13239i | −0.527115 | − | 0.129773i | ||||
\(271\) | 9.03693 | + | 0.949820i | 0.548955 | + | 0.0576974i | 0.374946 | − | 0.927047i | \(-0.377661\pi\) |
0.174009 | + | 0.984744i | \(0.444328\pi\) | |||||||
\(272\) | 23.9627 | − | 3.79533i | 1.45295 | − | 0.230125i | ||||
\(273\) | −18.5280 | + | 2.04883i | −1.12136 | + | 0.124001i | ||||
\(274\) | − | 8.00453i | − | 0.483571i | ||||||
\(275\) | −0.0371329 | − | 0.0750064i | −0.00223920 | − | 0.00452305i | ||||
\(276\) | −42.5749 | − | 24.5807i | −2.56271 | − | 1.47958i | ||||
\(277\) | −0.715125 | + | 13.6454i | −0.0429677 | + | 0.819872i | 0.889128 | + | 0.457659i | \(0.151312\pi\) |
−0.932095 | + | 0.362213i | \(0.882021\pi\) | |||||||
\(278\) | 8.58636 | − | 6.95309i | 0.514975 | − | 0.417019i | ||||
\(279\) | 16.6747 | + | 12.1149i | 0.998291 | + | 0.725301i | ||||
\(280\) | −16.6567 | − | 21.7237i | −0.995430 | − | 1.29824i | ||||
\(281\) | −3.22462 | + | 2.34282i | −0.192365 | + | 0.139761i | −0.679799 | − | 0.733399i | \(-0.737933\pi\) |
0.487434 | + | 0.873160i | \(0.337933\pi\) | |||||||
\(282\) | −6.65559 | + | 24.8390i | −0.396334 | + | 1.47914i | ||||
\(283\) | 11.8922 | − | 14.6857i | 0.706920 | − | 0.872974i | −0.289529 | − | 0.957169i | \(-0.593499\pi\) |
0.996449 | + | 0.0841955i | \(0.0268320\pi\) | |||||||
\(284\) | 6.37712 | − | 30.0020i | 0.378413 | − | 1.78029i | ||||
\(285\) | 13.0095 | − | 9.86374i | 0.770618 | − | 0.584277i | ||||
\(286\) | 0.118543 | + | 0.0385168i | 0.00700957 | + | 0.00227755i | ||||
\(287\) | −15.4712 | − | 4.93447i | −0.913236 | − | 0.291272i | ||||
\(288\) | 1.84965 | + | 0.942442i | 0.108991 | + | 0.0555339i | ||||
\(289\) | 6.83850 | + | 32.1726i | 0.402265 | + | 1.89251i | ||||
\(290\) | −0.0745245 | − | 0.318508i | −0.00437623 | − | 0.0187034i | ||||
\(291\) | 15.4742 | + | 3.28914i | 0.907112 | + | 0.192813i | ||||
\(292\) | 12.1861 | − | 4.67781i | 0.713138 | − | 0.273748i | ||||
\(293\) | −4.94524 | − | 4.94524i | −0.288904 | − | 0.288904i | 0.547743 | − | 0.836647i | \(-0.315487\pi\) |
−0.836647 | + | 0.547743i | \(0.815487\pi\) | |||||||
\(294\) | 22.6420 | − | 31.8843i | 1.32051 | − | 1.85953i | ||||
\(295\) | −1.90061 | + | 5.27024i | −0.110658 | + | 0.306845i | ||||
\(296\) | 4.06380 | − | 38.6645i | 0.236204 | − | 2.24733i | ||||
\(297\) | −0.00984815 | + | 0.0256553i | −0.000571447 | + | 0.00148867i | ||||
\(298\) | −44.1265 | − | 2.31257i | −2.55618 | − | 0.133964i | ||||
\(299\) | −8.39168 | − | 14.5348i | −0.485303 | − | 0.840570i | ||||
\(300\) | −9.83785 | + | 43.7905i | −0.567988 | + | 2.52824i | ||||
\(301\) | −11.7669 | + | 1.92904i | −0.678231 | + | 0.111188i | ||||
\(302\) | 40.9187 | − | 20.8491i | 2.35460 | − | 1.19973i | ||||
\(303\) | 15.3426 | + | 18.9465i | 0.881409 | + | 1.08845i | ||||
\(304\) | −9.96484 | + | 4.43663i | −0.571523 | + | 0.254458i | ||||
\(305\) | −29.7590 | + | 2.16926i | −1.70400 | + | 0.124211i | ||||
\(306\) | 15.9578 | − | 35.8419i | 0.912248 | − | 2.04894i | ||||
\(307\) | −4.76473 | + | 4.76473i | −0.271938 | + | 0.271938i | −0.829880 | − | 0.557942i | \(-0.811591\pi\) |
0.557942 | + | 0.829880i | \(0.311591\pi\) | |||||||
\(308\) | −0.149273 | + | 0.0872638i | −0.00850564 | + | 0.00497232i | ||||
\(309\) | −0.478436 | + | 0.155453i | −0.0272173 | + | 0.00884342i | ||||
\(310\) | −27.9808 | + | 40.2129i | −1.58920 | + | 2.28394i | ||||
\(311\) | 1.95368 | − | 1.75910i | 0.110783 | − | 0.0997496i | −0.611878 | − | 0.790952i | \(-0.709586\pi\) |
0.722661 | + | 0.691203i | \(0.242919\pi\) | |||||||
\(312\) | −17.7558 | − | 27.3415i | −1.00522 | − | 1.54791i | ||||
\(313\) | −4.34316 | + | 0.227616i | −0.245490 | + | 0.0128656i | −0.174684 | − | 0.984625i | \(-0.555890\pi\) |
−0.0708059 | + | 0.997490i | \(0.522557\pi\) | |||||||
\(314\) | 12.2075 | − | 37.5707i | 0.688908 | − | 2.12024i | ||||
\(315\) | −13.4825 | + | 1.05619i | −0.759652 | + | 0.0595098i | ||||
\(316\) | −6.46387 | − | 19.8938i | −0.363621 | − | 1.11911i | ||||
\(317\) | 7.43621 | + | 19.3720i | 0.417659 | + | 1.08804i | 0.967523 | + | 0.252784i | \(0.0813463\pi\) |
−0.549864 | + | 0.835254i | \(0.685320\pi\) | |||||||
\(318\) | −23.4827 | + | 6.29216i | −1.31684 | + | 0.352847i | ||||
\(319\) | −0.00100223 | 0.000105339i | −5.61143e−5 | 5.89785e-6i | ||||||
\(320\) | −8.84291 | + | 18.2673i | −0.494334 | + | 1.02117i | ||||
\(321\) | 6.61541 | − | 9.10533i | 0.369236 | − | 0.508210i | ||||
\(322\) | 34.4788 | + | 7.13384i | 1.92143 | + | 0.397553i | ||||
\(323\) | −10.1835 | − | 19.9862i | −0.566623 | − | 1.11206i | ||||
\(324\) | 35.9500 | − | 20.7557i | 1.99722 | − | 1.15310i | ||||
\(325\) | −10.3835 | + | 11.2676i | −0.575973 | + | 0.625014i | ||||
\(326\) | −11.3803 | + | 19.7112i | −0.630295 | + | 1.09170i | ||||
\(327\) | 9.66271 | − | 14.8793i | 0.534349 | − | 0.822825i | ||||
\(328\) | −4.44281 | − | 28.0508i | −0.245313 | − | 1.54884i | ||||
\(329\) | −0.703199 | − | 12.1582i | −0.0387686 | − | 0.670304i | ||||
\(330\) | 0.196702 | + | 0.0709366i | 0.0108281 | + | 0.00390493i | ||||
\(331\) | 14.5178 | + | 6.46376i | 0.797972 | + | 0.355280i | 0.764881 | − | 0.644172i | \(-0.222798\pi\) |
0.0330919 | + | 0.999452i | \(0.489465\pi\) | |||||||
\(332\) | −8.83346 | − | 32.9669i | −0.484799 | − | 1.80929i | ||||
\(333\) | −14.9263 | − | 12.0871i | −0.817955 | − | 0.662367i | ||||
\(334\) | −12.2876 | + | 13.6467i | −0.672346 | + | 0.746716i | ||||
\(335\) | 0.486565 | + | 0.518698i | 0.0265839 | + | 0.0283395i | ||||
\(336\) | 20.6538 | + | 3.15673i | 1.12676 | + | 0.172214i | ||||
\(337\) | −11.6113 | + | 22.7884i | −0.632508 | + | 1.24137i | 0.323000 | + | 0.946399i | \(0.395309\pi\) |
−0.955507 | + | 0.294967i | \(0.904691\pi\) | |||||||
\(338\) | 0.458951 | + | 8.75730i | 0.0249636 | + | 0.476334i | ||||
\(339\) | 6.15957 | + | 6.84090i | 0.334542 | + | 0.371547i | ||||
\(340\) | 56.8337 | + | 23.9267i | 3.08224 | + | 1.29761i | ||||
\(341\) | 0.112160 | + | 0.100989i | 0.00607382 | + | 0.00546889i | ||||
\(342\) | −2.75941 | + | 17.4222i | −0.149212 | + | 0.942086i | ||||
\(343\) | −5.43629 | + | 17.7044i | −0.293532 | + | 0.955949i | ||||
\(344\) | −12.2575 | − | 16.8710i | −0.660882 | − | 0.909626i | ||||
\(345\) | −13.2917 | − | 24.8210i | −0.715600 | − | 1.33632i | ||||
\(346\) | 23.1297 | + | 51.9502i | 1.24346 | + | 2.79286i | ||||
\(347\) | −14.1465 | − | 5.43034i | −0.759425 | − | 0.291516i | −0.0523255 | − | 0.998630i | \(-0.516663\pi\) |
−0.707099 | + | 0.707114i | \(0.749997\pi\) | |||||||
\(348\) | 0.453231 | + | 0.294331i | 0.0242957 | + | 0.0157778i | ||||
\(349\) | −1.48928 | −0.0797192 | −0.0398596 | − | 0.999205i | \(-0.512691\pi\) | ||||
−0.0398596 | + | 0.999205i | \(0.512691\pi\) | |||||||
\(350\) | −3.16378 | − | 31.9881i | −0.169111 | − | 1.70984i | ||||
\(351\) | 5.03100 | 0.268535 | ||||||||
\(352\) | 0.0127486 | + | 0.00827905i | 0.000679504 | + | 0.000441275i | ||||
\(353\) | −8.77541 | − | 3.36856i | −0.467068 | − | 0.179291i | 0.113441 | − | 0.993545i | \(-0.463813\pi\) |
−0.580509 | + | 0.814254i | \(0.697146\pi\) | |||||||
\(354\) | −5.69315 | − | 12.7870i | −0.302588 | − | 0.679623i | ||||
\(355\) | 12.1655 | − | 12.6724i | 0.645678 | − | 0.672581i | ||||
\(356\) | 19.2088 | + | 26.4386i | 1.01806 | + | 1.40124i | ||||
\(357\) | −4.25978 | + | 42.7541i | −0.225451 | + | 2.26279i | ||||
\(358\) | −5.17918 | + | 32.7001i | −0.273728 | + | 1.72825i | ||||
\(359\) | −4.56543 | − | 4.11073i | −0.240954 | − | 0.216956i | 0.539802 | − | 0.841792i | \(-0.318499\pi\) |
−0.780756 | + | 0.624836i | \(0.785166\pi\) | |||||||
\(360\) | −12.2413 | − | 20.2374i | −0.645175 | − | 1.06661i | ||||
\(361\) | −5.96536 | − | 6.62520i | −0.313966 | − | 0.348695i | ||||
\(362\) | −0.731315 | − | 13.9543i | −0.0384370 | − | 0.733422i | ||||
\(363\) | −11.4813 | + | 22.5332i | −0.602610 | + | 1.18269i | ||||
\(364\) | 24.7083 | + | 19.7879i | 1.29506 | + | 1.03717i | ||||
\(365\) | 7.34263 | + | 1.40478i | 0.384331 | + | 0.0735295i | ||||
\(366\) | 49.8815 | − | 55.3990i | 2.60735 | − | 2.89575i | ||||
\(367\) | 28.0420 | + | 22.7079i | 1.46378 | + | 1.18534i | 0.943511 | + | 0.331341i | \(0.107501\pi\) |
0.520267 | + | 0.854003i | \(0.325832\pi\) | |||||||
\(368\) | 4.86880 | + | 18.1706i | 0.253804 | + | 0.947209i | ||||
\(369\) | −12.8176 | − | 5.70676i | −0.667257 | − | 0.297082i | ||||
\(370\) | 27.9994 | − | 36.0565i | 1.45562 | − | 1.87449i | ||||
\(371\) | 9.62196 | − | 6.32289i | 0.499547 | − | 0.328268i | ||||
\(372\) | −12.6611 | − | 79.9390i | −0.656447 | − | 4.14464i | ||||
\(373\) | 10.1248 | − | 15.5909i | 0.524244 | − | 0.807264i | −0.473031 | − | 0.881046i | \(-0.656840\pi\) |
0.997274 | + | 0.0737815i | \(0.0235067\pi\) | |||||||
\(374\) | 0.143646 | − | 0.248802i | 0.00742777 | − | 0.0128653i | ||||
\(375\) | −18.0144 | + | 18.3364i | −0.930261 | + | 0.946887i | ||||
\(376\) | 18.4455 | − | 10.6495i | 0.951252 | − | 0.549206i | ||||
\(377\) | 0.0837587 | + | 0.164386i | 0.00431379 | + | 0.00846629i | ||||
\(378\) | −7.01965 | + | 7.88149i | −0.361052 | + | 0.405380i | ||||
\(379\) | −13.0838 | + | 18.0083i | −0.672068 | + | 0.925022i | −0.999805 | − | 0.0197466i | \(-0.993714\pi\) |
0.327737 | + | 0.944769i | \(0.393714\pi\) | |||||||
\(380\) | −27.4658 | − | 3.77742i | −1.40897 | − | 0.193777i | ||||
\(381\) | −16.6602 | + | 1.75106i | −0.853529 | + | 0.0897095i | ||||
\(382\) | −34.7802 | + | 9.31932i | −1.77951 | + | 0.476818i | ||||
\(383\) | 5.51711 | + | 14.3726i | 0.281911 | + | 0.734403i | 0.999288 | + | 0.0377184i | \(0.0120090\pi\) |
−0.717377 | + | 0.696685i | \(0.754658\pi\) | |||||||
\(384\) | −14.3783 | − | 44.2520i | −0.733742 | − | 2.25822i | ||||
\(385\) | −0.0989940 | − | 0.00262803i | −0.00504520 | − | 0.000133937i | ||||
\(386\) | −12.4942 | + | 38.4531i | −0.635937 | + | 1.95721i | ||||
\(387\) | −10.2882 | + | 0.539182i | −0.522979 | + | 0.0274082i | ||||
\(388\) | −14.6316 | − | 22.5307i | −0.742806 | − | 1.14382i | ||||
\(389\) | 8.85903 | − | 7.97670i | 0.449171 | − | 0.404435i | −0.413258 | − | 0.910614i | \(-0.635609\pi\) |
0.862428 | + | 0.506179i | \(0.168943\pi\) | |||||||
\(390\) | −0.781097 | − | 38.2733i | −0.0395524 | − | 1.93804i | ||||
\(391\) | −36.7909 | + | 11.9541i | −1.86060 | + | 0.604545i | ||||
\(392\) | −31.9345 | + | 5.41296i | −1.61294 | + | 0.273396i | ||||
\(393\) | 19.2328 | − | 19.2328i | 0.970168 | − | 0.970168i | ||||
\(394\) | −15.3760 | + | 34.5350i | −0.774629 | + | 1.73985i | ||||
\(395\) | 2.86388 | − | 11.6326i | 0.144098 | − | 0.585300i | ||||
\(396\) | −0.136478 | + | 0.0607640i | −0.00685828 | + | 0.00305350i | ||||
\(397\) | 4.26600 | + | 5.26807i | 0.214105 | + | 0.264397i | 0.872872 | − | 0.487950i | \(-0.162255\pi\) |
−0.658767 | + | 0.752347i | \(0.728922\pi\) | |||||||
\(398\) | −4.28222 | + | 2.18190i | −0.214648 | + | 0.109369i | ||||
\(399\) | −3.12512 | − | 19.0628i | −0.156452 | − | 0.954335i | ||||
\(400\) | 14.5105 | − | 9.18673i | 0.725524 | − | 0.459336i | ||||
\(401\) | −9.14254 | − | 15.8353i | −0.456557 | − | 0.790779i | 0.542220 | − | 0.840237i | \(-0.317584\pi\) |
−0.998776 | + | 0.0494575i | \(0.984251\pi\) | |||||||
\(402\) | −1.77439 | − | 0.0929920i | −0.0884987 | − | 0.00463802i | ||||
\(403\) | 9.90201 | − | 25.7956i | 0.493254 | − | 1.28497i | ||||
\(404\) | 4.32754 | − | 41.1738i | 0.215303 | − | 2.04847i | ||||
\(405\) | 23.7624 | + | 0.759570i | 1.18076 | + | 0.0377433i | ||||
\(406\) | −0.374391 | − | 0.0981488i | −0.0185807 | − | 0.00487104i | ||||
\(407\) | −0.0994483 | − | 0.0994483i | −0.00492947 | − | 0.00492947i | ||||
\(408\) | −70.1518 | + | 26.9287i | −3.47303 | + | 1.33317i | ||||
\(409\) | −15.5613 | − | 3.30765i | −0.769456 | − | 0.163553i | −0.193574 | − | 0.981086i | \(-0.562008\pi\) |
−0.575882 | + | 0.817533i | \(0.695341\pi\) | |||||||
\(410\) | 12.9397 | − | 30.7361i | 0.639047 | − | 1.51795i | ||||
\(411\) | 1.57468 | + | 7.40829i | 0.0776732 | + | 0.365424i | ||||
\(412\) | 0.761163 | + | 0.387832i | 0.0374998 | + | 0.0191071i | ||||
\(413\) | 4.46223 | + | 4.90218i | 0.219572 | + | 0.241221i | ||||
\(414\) | 28.9318 | + | 9.40052i | 1.42192 | + | 0.462010i | ||||
\(415\) | 5.65976 | − | 18.7096i | 0.277827 | − | 0.918419i | ||||
\(416\) | 0.578601 | − | 2.72210i | 0.0283683 | − | 0.133462i | ||||
\(417\) | −6.57894 | + | 8.12431i | −0.322172 | + | 0.397849i | ||||
\(418\) | −0.0334306 | + | 0.124765i | −0.00163514 | + | 0.00610243i | ||||
\(419\) | 28.7560 | − | 20.8925i | 1.40482 | − | 1.02066i | 0.410773 | − | 0.911738i | \(-0.365259\pi\) |
0.994050 | − | 0.108926i | \(-0.0347411\pi\) | |||||||
\(420\) | 40.3689 | + | 34.5035i | 1.96980 | + | 1.68360i | ||||
\(421\) | −11.3679 | − | 8.25925i | −0.554037 | − | 0.402531i | 0.275235 | − | 0.961377i | \(-0.411244\pi\) |
−0.829272 | + | 0.558846i | \(0.811244\pi\) | |||||||
\(422\) | 17.2599 | − | 13.9768i | 0.840197 | − | 0.680378i | ||||
\(423\) | 0.550694 | − | 10.5079i | 0.0267757 | − | 0.510910i | ||||
\(424\) | 17.4383 | + | 10.0680i | 0.846876 | + | 0.488944i | ||||
\(425\) | 20.4274 | + | 28.8098i | 0.990875 | + | 1.39748i | ||||
\(426\) | 43.8884i | 2.12640i | ||||||||
\(427\) | −14.1849 | + | 32.3298i | −0.686458 | + | 1.56455i | ||||
\(428\) | −18.8772 | + | 2.98985i | −0.912464 | + | 0.144520i | ||||
\(429\) | −0.117290 | − | 0.0123277i | −0.00566280 | − | 0.000595185i | ||||
\(430\) | −1.78025 | − | 24.4224i | −0.0858514 | − | 1.17775i | ||||
\(431\) | −0.397806 | − | 3.78487i | −0.0191616 | − | 0.182311i | 0.980755 | − | 0.195244i | \(-0.0625498\pi\) |
−0.999916 | + | 0.0129330i | \(0.995883\pi\) | |||||||
\(432\) | −5.44685 | − | 1.45948i | −0.262061 | − | 0.0702192i | ||||
\(433\) | 1.22529 | + | 0.194066i | 0.0588836 | + | 0.00932624i | 0.185807 | − | 0.982586i | \(-0.440510\pi\) |
−0.126923 | + | 0.991913i | \(0.540510\pi\) | |||||||
\(434\) | 26.5950 | + | 51.5044i | 1.27660 | + | 2.47229i | ||||
\(435\) | 0.131631 | + | 0.280122i | 0.00631124 | + | 0.0134308i | ||||
\(436\) | −29.4696 | + | 6.26395i | −1.41134 | + | 0.299989i | ||||
\(437\) | 14.5864 | − | 9.47255i | 0.697764 | − | 0.453133i | ||||
\(438\) | −15.6642 | + | 10.1725i | −0.748465 | + | 0.486059i | ||||
\(439\) | −5.32727 | + | 1.13235i | −0.254257 | + | 0.0540439i | −0.333277 | − | 0.942829i | \(-0.608154\pi\) |
0.0790199 | + | 0.996873i | \(0.474821\pi\) | |||||||
\(440\) | −0.0736569 | − | 0.156748i | −0.00351146 | − | 0.00747266i | ||||
\(441\) | −6.34978 | + | 14.6878i | −0.302371 | + | 0.699417i | ||||
\(442\) | −51.9485 | − | 8.22783i | −2.47094 | − | 0.391358i | ||||
\(443\) | 17.6715 | + | 4.73507i | 0.839599 | + | 0.224970i | 0.652897 | − | 0.757447i | \(-0.273553\pi\) |
0.186702 | + | 0.982417i | \(0.440220\pi\) | |||||||
\(444\) | 7.88353 | + | 75.0067i | 0.374136 | + | 3.55966i | ||||
\(445\) | 1.36072 | + | 18.6670i | 0.0645042 | + | 0.884901i | ||||
\(446\) | −17.9743 | − | 1.88917i | −0.851106 | − | 0.0894548i | ||||
\(447\) | 41.2945 | − | 6.54041i | 1.95316 | − | 0.309351i | ||||
\(448\) | 14.2197 | + | 19.3507i | 0.671820 | + | 0.914233i | ||||
\(449\) | 7.28927i | 0.344002i | 0.985097 | + | 0.172001i | \(0.0550232\pi\) | ||||
−0.985097 | + | 0.172001i | \(0.944977\pi\) | |||||||
\(450\) | 0.320731 | − | 27.7708i | 0.0151194 | − | 1.30913i | ||||
\(451\) | −0.0889755 | − | 0.0513700i | −0.00418969 | − | 0.00241892i | ||||
\(452\) | 0.818124 | − | 15.6107i | 0.0384813 | − | 0.734267i | ||||
\(453\) | −33.7692 | + | 27.3458i | −1.58662 | + | 1.28482i | ||||
\(454\) | −23.0343 | − | 16.7354i | −1.08105 | − | 0.785432i | ||||
\(455\) | 6.04565 | + | 17.0920i | 0.283424 | + | 0.801285i | ||||
\(456\) | 27.3318 | − | 19.8577i | 1.27993 | − | 0.929922i | ||||
\(457\) | 3.05849 | − | 11.4145i | 0.143070 | − | 0.533946i | −0.856763 | − | 0.515710i | \(-0.827528\pi\) |
0.999834 | − | 0.0182361i | \(-0.00580504\pi\) | |||||||
\(458\) | 41.1969 | − | 50.8739i | 1.92500 | − | 2.37718i | ||||
\(459\) | 2.41095 | − | 11.3426i | 0.112534 | − | 0.529429i | ||||
\(460\) | −13.8442 | + | 45.7650i | −0.645488 | + | 2.13381i | ||||
\(461\) | −0.809532 | − | 0.263033i | −0.0377037 | − | 0.0122507i | 0.290104 | − | 0.956995i | \(-0.406310\pi\) |
−0.327808 | + | 0.944744i | \(0.606310\pi\) | |||||||
\(462\) | 0.182964 | − | 0.166544i | 0.00851227 | − | 0.00774833i | ||||
\(463\) | 34.4372 | + | 17.5466i | 1.60043 | + | 0.815460i | 0.999874 | + | 0.0158788i | \(0.00505458\pi\) |
0.600557 | + | 0.799582i | \(0.294945\pi\) | |||||||
\(464\) | −0.0429941 | − | 0.202271i | −0.00199595 | − | 0.00939022i | ||||
\(465\) | 17.9857 | − | 42.7220i | 0.834069 | − | 1.98118i | ||||
\(466\) | 51.9241 | + | 11.0368i | 2.40534 | + | 0.511270i | ||||
\(467\) | −8.34928 | + | 3.20499i | −0.386358 | + | 0.148309i | −0.543791 | − | 0.839221i | \(-0.683012\pi\) |
0.157433 | + | 0.987530i | \(0.449678\pi\) | |||||||
\(468\) | 19.3396 | + | 19.3396i | 0.893972 | + | 0.893972i | ||||
\(469\) | 0.811629 | − | 0.222191i | 0.0374775 | − | 0.0102598i | ||||
\(470\) | 24.9973 | + | 0.799042i | 1.15304 | + | 0.0368570i | ||||
\(471\) | −3.90711 | + | 37.1737i | −0.180030 | + | 1.71287i | ||||
\(472\) | −4.15468 | + | 10.8233i | −0.191235 | + | 0.498183i | ||||
\(473\) | −0.0753362 | − | 0.00394820i | −0.00346396 | − | 0.000181538i | ||||
\(474\) | 14.9653 | + | 25.9206i | 0.687377 | + | 1.19057i | ||||
\(475\) | −12.2236 | − | 10.1344i | −0.560857 | − | 0.464999i | ||||
\(476\) | 56.4535 | − | 46.2233i | 2.58754 | − | 2.11864i | ||||
\(477\) | 8.86348 | − | 4.51617i | 0.405831 | − | 0.206781i | ||||
\(478\) | −6.52552 | − | 8.05835i | −0.298470 | − | 0.368580i | ||||
\(479\) | 0.885419 | − | 0.394214i | 0.0404558 | − | 0.0180121i | −0.386409 | − | 0.922328i | \(-0.626285\pi\) |
0.426865 | + | 0.904315i | \(0.359618\pi\) | |||||||
\(480\) | 1.11607 | − | 4.53327i | 0.0509412 | − | 0.206914i | ||||
\(481\) | −10.4726 | + | 23.5218i | −0.477509 | + | 1.07250i | ||||
\(482\) | 0.282157 | − | 0.282157i | 0.0128519 | − | 0.0128519i | ||||
\(483\) | −33.3139 | + | 0.180335i | −1.51584 | + | 0.00820553i | ||||
\(484\) | 40.8440 | − | 13.2710i | 1.85655 | − | 0.603228i | ||||
\(485\) | −0.313939 | − | 15.3828i | −0.0142553 | − | 0.698499i | ||||
\(486\) | −35.2477 | + | 31.7372i | −1.59887 | + | 1.43963i | ||||
\(487\) | −18.8835 | − | 29.0780i | −0.855691 | − | 1.31765i | −0.946805 | − | 0.321808i | \(-0.895709\pi\) |
0.0911139 | − | 0.995840i | \(-0.470957\pi\) | |||||||
\(488\) | −61.6598 | + | 3.23145i | −2.79121 | + | 0.146281i | ||||
\(489\) | 6.65491 | − | 20.4817i | 0.300946 | − | 0.926215i | ||||
\(490\) | −35.2115 | − | 14.3771i | −1.59069 | − | 0.649491i | ||||
\(491\) | 1.58176 | + | 4.86817i | 0.0713840 | + | 0.219697i | 0.980383 | − | 0.197100i | \(-0.0631524\pi\) |
−0.908999 | + | 0.416798i | \(0.863152\pi\) | |||||||
\(492\) | 19.7443 | + | 51.4357i | 0.890143 | + | 2.31890i | ||||
\(493\) | 0.410755 | − | 0.110061i | 0.0184995 | − | 0.00495692i | ||||
\(494\) | 23.5175 | − | 2.47179i | 1.05810 | − | 0.111211i | ||||
\(495\) | −0.0847634 | − | 0.0116576i | −0.00380983 | − | 0.000523972i | ||||
\(496\) | −18.2037 | + | 25.0553i | −0.817371 | + | 1.12501i | ||||
\(497\) | −6.52990 | − | 19.7329i | −0.292906 | − | 0.885139i | ||||
\(498\) | 22.1710 | + | 43.5130i | 0.993506 | + | 1.94986i | ||||
\(499\) | 31.5502 | − | 18.2155i | 1.41238 | − | 0.815438i | 0.416768 | − | 0.909013i | \(-0.363163\pi\) |
0.995612 | + | 0.0935745i | \(0.0298293\pi\) | |||||||
\(500\) | 43.6494 | − | 0.386608i | 1.95206 | − | 0.0172896i | ||||
\(501\) | 8.68766 | − | 15.0475i | 0.388136 | − | 0.672271i | ||||
\(502\) | 0.175092 | − | 0.269618i | 0.00781474 | − | 0.0120336i | ||||
\(503\) | 0.209162 | + | 1.32059i | 0.00932605 | + | 0.0588824i | 0.991912 | − | 0.126924i | \(-0.0405104\pi\) |
−0.982586 | + | 0.185806i | \(0.940510\pi\) | |||||||
\(504\) | −27.9384 | + | 1.61588i | −1.24448 | + | 0.0719772i | ||||
\(505\) | 14.5428 | − | 18.7276i | 0.647145 | − | 0.833367i | ||||
\(506\) | 0.203500 | + | 0.0906038i | 0.00904666 | + | 0.00402783i | ||||
\(507\) | −2.14753 | − | 8.01470i | −0.0953752 | − | 0.355945i | ||||
\(508\) | 22.1079 | + | 17.9027i | 0.980882 | + | 0.794302i | ||||
\(509\) | −12.8202 | + | 14.2382i | −0.568244 | + | 0.631098i | −0.956946 | − | 0.290265i | \(-0.906257\pi\) |
0.388703 | + | 0.921363i | \(0.372923\pi\) | |||||||
\(510\) | −86.6634 | − | 16.5803i | −3.83752 | − | 0.734188i | ||||
\(511\) | 5.52935 | − | 6.90427i | 0.244604 | − | 0.305427i | ||||
\(512\) | −15.8470 | + | 31.1015i | −0.700346 | + | 1.37451i | ||||
\(513\) | 0.272856 | + | 5.20640i | 0.0120469 | + | 0.229868i | ||||
\(514\) | −14.9417 | − | 16.5944i | −0.659048 | − | 0.731947i | ||||
\(515\) | 0.253225 | + | 0.418633i | 0.0111584 | + | 0.0184472i | ||||
\(516\) | 30.0640 | + | 27.0697i | 1.32349 | + | 1.19168i | ||||
\(517\) | 0.0120533 | − | 0.0761016i | 0.000530104 | − | 0.00334694i | ||||
\(518\) | −22.2368 | − | 49.2258i | −0.977028 | − | 2.16286i | ||||
\(519\) | −31.6267 | − | 43.5304i | −1.38826 | − | 1.91077i | ||||
\(520\) | −21.9581 | + | 22.8730i | −0.962926 | + | 1.00305i | ||||
\(521\) | 5.94344 | + | 13.3492i | 0.260387 | + | 0.584838i | 0.995674 | − | 0.0929175i | \(-0.0296193\pi\) |
−0.735287 | + | 0.677756i | \(0.762953\pi\) | |||||||
\(522\) | −0.312195 | − | 0.119840i | −0.0136644 | − | 0.00524527i | ||||
\(523\) | −29.1893 | − | 18.9558i | −1.27636 | − | 0.828877i | −0.284807 | − | 0.958585i | \(-0.591930\pi\) |
−0.991552 | + | 0.129707i | \(0.958596\pi\) | |||||||
\(524\) | −46.1889 | −2.01777 | ||||||||
\(525\) | 9.22093 | + | 28.9830i | 0.402434 | + | 1.26492i | ||||
\(526\) | 50.8274 | 2.21618 | ||||||||
\(527\) | −53.4123 | − | 34.6864i | −2.32668 | − | 1.51096i | ||||
\(528\) | 0.123408 | + | 0.0473721i | 0.00537066 | + | 0.00206160i | ||||
\(529\) | −2.84498 | − | 6.38993i | −0.123695 | − | 0.277823i | ||||
\(530\) | 11.1619 | + | 20.8439i | 0.484843 | + | 0.905399i | ||||
\(531\) | 3.36650 | + | 4.63359i | 0.146094 | + | 0.201081i | ||||
\(532\) | −19.1377 | + | 26.6429i | −0.829725 | + | 1.15512i | ||||
\(533\) | −2.94239 | + | 18.5775i | −0.127449 | + | 0.804683i | ||||
\(534\) | −34.7503 | − | 31.2893i | −1.50379 | − | 1.35402i | ||||
\(535\) | −10.0886 | − | 4.24724i | −0.436168 | − | 0.183624i | ||||
\(536\) | 0.984749 | + | 1.09367i | 0.0425347 | + | 0.0472395i | ||||
\(537\) | −1.63948 | − | 31.2832i | −0.0707489 | − | 1.34997i | ||||
\(538\) | −1.66857 | + | 3.27475i | −0.0719372 | + | 0.141185i | ||||
\(539\) | −0.0574843 | + | 0.102103i | −0.00247602 | + | 0.00439788i | ||||
\(540\) | −9.80566 | − | 10.4532i | −0.421969 | − | 0.449836i | ||||
\(541\) | −11.5839 | + | 12.8652i | −0.498029 | + | 0.553117i | −0.938782 | − | 0.344511i | \(-0.888045\pi\) |
0.440753 | + | 0.897628i | \(0.354711\pi\) | |||||||
\(542\) | 17.1590 | + | 13.8951i | 0.737043 | + | 0.596846i | ||||
\(543\) | 3.42198 | + | 12.7710i | 0.146851 | + | 0.548057i | ||||
\(544\) | −5.85985 | − | 2.60897i | −0.251239 | − | 0.111859i | ||||
\(545\) | −16.2317 | − | 5.85365i | −0.695290 | − | 0.250743i | ||||
\(546\) | −40.4689 | − | 20.3447i | −1.73191 | − | 0.870674i | ||||
\(547\) | 1.54775 | + | 9.77211i | 0.0661770 | + | 0.417825i | 0.998430 | + | 0.0560177i | \(0.0178403\pi\) |
−0.932253 | + | 0.361808i | \(0.882160\pi\) | |||||||
\(548\) | 7.00490 | − | 10.7866i | 0.299234 | − | 0.460781i | ||||
\(549\) | −15.2517 | + | 26.4167i | −0.650927 | + | 1.12744i | ||||
\(550\) | 0.0235920 | − | 0.201994i | 0.00100597 | − | 0.00861307i | ||||
\(551\) | −0.165574 | + | 0.0955944i | −0.00705370 | + | 0.00407246i | ||||
\(552\) | −26.4511 | − | 51.9131i | −1.12583 | − | 2.20957i | ||||
\(553\) | −10.5852 | − | 9.42768i | −0.450127 | − | 0.400906i | ||||
\(554\) | −19.5157 | + | 26.8610i | −0.829142 | + | 1.14122i | ||||
\(555\) | −18.8206 | + | 38.8789i | −0.798890 | + | 1.65032i | ||||
\(556\) | 17.6554 | − | 1.85566i | 0.748756 | − | 0.0786975i | ||||
\(557\) | 15.6719 | − | 4.19928i | 0.664041 | − | 0.177929i | 0.0889717 | − | 0.996034i | \(-0.471642\pi\) |
0.575069 | + | 0.818105i | \(0.304975\pi\) | |||||||
\(558\) | 17.9479 | + | 46.7559i | 0.759796 | + | 1.97934i | ||||
\(559\) | 4.26786 | + | 13.1351i | 0.180511 | + | 0.555557i | ||||
\(560\) | −1.58702 | − | 20.2586i | −0.0670640 | − | 0.856082i | ||||
\(561\) | −0.0840009 | + | 0.258528i | −0.00354652 | + | 0.0109151i | ||||
\(562\) | −9.67182 | + | 0.506879i | −0.407981 | + | 0.0213814i | ||||
\(563\) | 16.8888 | + | 26.0064i | 0.711776 | + | 1.09604i | 0.990745 | + | 0.135739i | \(0.0433408\pi\) |
−0.278969 | + | 0.960300i | \(0.589993\pi\) | |||||||
\(564\) | −30.7058 | + | 27.6476i | −1.29295 | + | 1.16418i | ||||
\(565\) | 5.11350 | − | 7.34891i | 0.215126 | − | 0.309171i | ||||
\(566\) | 43.6698 | − | 14.1892i | 1.83558 | − | 0.596416i | ||||
\(567\) | 13.9331 | − | 24.4374i | 0.585137 | − | 1.02628i | ||||
\(568\) | 25.7042 | − | 25.7042i | 1.07852 | − | 1.07852i | ||||
\(569\) | 5.42165 | − | 12.1772i | 0.227287 | − | 0.510496i | −0.763519 | − | 0.645786i | \(-0.776530\pi\) |
0.990806 | + | 0.135290i | \(0.0431966\pi\) | |||||||
\(570\) | 39.5653 | − | 2.88408i | 1.65721 | − | 0.120801i | ||||
\(571\) | 7.62713 | − | 3.39582i | 0.319185 | − | 0.142110i | −0.240889 | − | 0.970553i | \(-0.577439\pi\) |
0.560075 | + | 0.828442i | \(0.310772\pi\) | |||||||
\(572\) | 0.126037 | + | 0.155642i | 0.00526986 | + | 0.00650774i | ||||
\(573\) | 30.3562 | − | 15.4672i | 1.26815 | − | 0.646153i | ||||
\(574\) | −24.9979 | − | 30.5304i | −1.04339 | − | 1.27431i | ||||
\(575\) | −20.5603 | + | 18.0870i | −0.857424 | + | 0.754281i | ||||
\(576\) | 10.3739 | + | 17.9681i | 0.432245 | + | 0.748670i | ||||
\(577\) | 34.5559 | + | 1.81100i | 1.43858 | + | 0.0753928i | 0.755595 | − | 0.655039i | \(-0.227348\pi\) |
0.682986 | + | 0.730432i | \(0.260681\pi\) | |||||||
\(578\) | −28.6414 | + | 74.6134i | −1.19133 | + | 3.10351i | ||||
\(579\) | 3.99887 | − | 38.0467i | 0.166187 | − | 1.58117i | ||||
\(580\) | 0.178305 | − | 0.494427i | 0.00740373 | − | 0.0205300i | ||||
\(581\) | −16.4424 | − | 16.2654i | −0.682147 | − | 0.674802i | ||||
\(582\) | 27.1814 | + | 27.1814i | 1.12670 | + | 1.12670i | ||||
\(583\) | 0.0680047 | − | 0.0261045i | 0.00281647 | − | 0.00108114i | ||||
\(584\) | 15.1318 | + | 3.21636i | 0.626158 | + | 0.133094i | ||||
\(585\) | 3.56871 | + | 15.2522i | 0.147548 | + | 0.630600i | ||||
\(586\) | −3.53317 | − | 16.6222i | −0.145954 | − | 0.686659i | ||||
\(587\) | 17.8813 | + | 9.11097i | 0.738039 | + | 0.376050i | 0.782244 | − | 0.622973i | \(-0.214075\pi\) |
−0.0442042 | + | 0.999023i | \(0.514075\pi\) | |||||||
\(588\) | 58.4140 | − | 23.1517i | 2.40895 | − | 0.954760i | ||||
\(589\) | 27.2320 | + | 8.84822i | 1.12208 | + | 0.364584i | ||||
\(590\) | −10.8478 | + | 8.22475i | −0.446598 | + | 0.338608i | ||||
\(591\) | 7.43679 | − | 34.9873i | 0.305908 | − | 1.43919i | ||||
\(592\) | 18.1619 | − | 22.4280i | 0.746448 | − | 0.921786i | ||||
\(593\) | 4.81121 | − | 17.9557i | 0.197573 | − | 0.737352i | −0.794013 | − | 0.607901i | \(-0.792012\pi\) |
0.991586 | − | 0.129451i | \(-0.0413215\pi\) | |||||||
\(594\) | −0.0540215 | + | 0.0392489i | −0.00221653 | + | 0.00161040i | ||||
\(595\) | 41.4320 | − | 5.43940i | 1.69855 | − | 0.222994i | ||||
\(596\) | −57.4394 | − | 41.7321i | −2.35281 | − | 1.70942i | ||||
\(597\) | 3.53401 | − | 2.86179i | 0.144638 | − | 0.117125i | ||||
\(598\) | 2.13433 | − | 40.7255i | 0.0872794 | − | 1.66539i | ||||
\(599\) | 30.6038 | + | 17.6691i | 1.25044 | + | 0.721941i | 0.971196 | − | 0.238280i | \(-0.0765837\pi\) |
0.279241 | + | 0.960221i | \(0.409917\pi\) | |||||||
\(600\) | −38.0441 | + | 37.1754i | −1.55314 | + | 1.51768i | ||||
\(601\) | − | 0.819532i | − | 0.0334294i | −0.999860 | − | 0.0167147i | \(-0.994679\pi\) | ||
0.999860 | − | 0.0167147i | \(-0.00532070\pi\) | |||||||
\(602\) | −26.5322 | − | 11.6412i | −1.08137 | − | 0.474460i | ||||
\(603\) | 0.718101 | − | 0.113736i | 0.0292433 | − | 0.00463169i | ||||
\(604\) | 73.3858 | + | 7.71316i | 2.98603 | + | 0.313844i | ||||
\(605\) | 23.8830 | + | 5.87986i | 0.970981 | + | 0.239050i | ||||
\(606\) | 6.19220 | + | 58.9149i | 0.251541 | + | 2.39325i | ||||
\(607\) | 13.3713 | + | 3.58282i | 0.542724 | + | 0.145422i | 0.519757 | − | 0.854314i | \(-0.326022\pi\) |
0.0229662 | + | 0.999736i | \(0.492689\pi\) | |||||||
\(608\) | 2.84839 | + | 0.451141i | 0.115518 | + | 0.0182962i | ||||
\(609\) | 0.365812 | + | 0.0171863i | 0.0148234 | + | 0.000696423i | ||||
\(610\) | −63.5156 | − | 34.9625i | −2.57167 | − | 1.41559i | ||||
\(611\) | −13.7977 | + | 2.93279i | −0.558196 | + | 0.118648i | ||||
\(612\) | 52.8700 | − | 34.3341i | 2.13714 | − | 1.38788i | ||||
\(613\) | −32.1471 | + | 20.8766i | −1.29841 | + | 0.843197i | −0.994004 | − | 0.109345i | \(-0.965125\pi\) |
−0.304406 | + | 0.952542i | \(0.598458\pi\) | |||||||
\(614\) | −16.0155 | + | 3.40421i | −0.646334 | + | 0.137383i | ||||
\(615\) | −5.92936 | + | 30.9921i | −0.239095 | + | 1.24972i | ||||
\(616\) | −0.204697 | − | 0.00961692i | −0.00824748 | − | 0.000387477i | ||||
\(617\) | −16.5933 | − | 2.62812i | −0.668022 | − | 0.105804i | −0.186793 | − | 0.982399i | \(-0.559809\pi\) |
−0.481229 | + | 0.876595i | \(0.659809\pi\) | |||||||
\(618\) | −1.18071 | − | 0.316371i | −0.0474952 | − | 0.0127263i | ||||
\(619\) | −0.649827 | − | 6.18269i | −0.0261187 | − | 0.248503i | −0.999789 | − | 0.0205421i | \(-0.993461\pi\) |
0.973670 | − | 0.227961i | \(-0.0732059\pi\) | |||||||
\(620\) | −72.8968 | + | 29.7029i | −2.92761 | + | 1.19290i | ||||
\(621\) | 8.94198 | + | 0.939840i | 0.358829 | + | 0.0377145i | ||||
\(622\) | 6.30933 | − | 0.999300i | 0.252981 | − | 0.0400683i | ||||
\(623\) | 20.2796 | + | 8.89783i | 0.812484 | + | 0.356484i | ||||
\(624\) | − | 24.2004i | − | 0.968790i | ||||||
\(625\) | 21.3562 | + | 12.9967i | 0.854247 | + | 0.519868i | ||||
\(626\) | −9.15199 | − | 5.28391i | −0.365787 | − | 0.211187i | ||||
\(627\) | 0.00639625 | − | 0.122048i | 0.000255442 | − | 0.00487411i | ||||
\(628\) | 49.3291 | − | 39.9459i | 1.96845 | − | 1.59402i | ||||
\(629\) | 48.0125 | + | 34.8832i | 1.91439 | + | 1.39088i | ||||
\(630\) | −28.8732 | − | 15.6904i | −1.15034 | − | 0.625120i | ||||
\(631\) | −16.6120 | + | 12.0693i | −0.661312 | + | 0.480471i | −0.867106 | − | 0.498124i | \(-0.834022\pi\) |
0.205794 | + | 0.978595i | \(0.434022\pi\) | |||||||
\(632\) | 6.41622 | − | 23.9457i | 0.255224 | − | 0.952508i | ||||
\(633\) | −13.2246 | + | 16.3311i | −0.525632 | + | 0.649102i | ||||
\(634\) | −10.4830 | + | 49.3185i | −0.416332 | + | 1.95869i | ||||
\(635\) | 5.34981 | + | 15.3892i | 0.212301 | + | 0.610703i | ||||
\(636\) | −37.1507 | − | 12.0710i | −1.47312 | − | 0.478646i | ||||
\(637\) | 21.2223 | + | 3.12616i | 0.840860 | + | 0.123863i | ||||
\(638\) | −0.00218182 | − | 0.00111169i | −8.63790e−5 | − | 4.40123e-5i | ||||
\(639\) | −3.73378 | − | 17.5661i | −0.147706 | − | 0.694902i | ||||
\(640\) | −38.7207 | + | 23.4216i | −1.53057 | + | 0.925820i | ||||
\(641\) | −9.09717 | − | 1.93366i | −0.359317 | − | 0.0763751i | 0.0247163 | − | 0.999695i | \(-0.492132\pi\) |
−0.384033 | + | 0.923319i | \(0.625465\pi\) | |||||||
\(642\) | 25.5313 | − | 9.80055i | 1.00764 | − | 0.386797i | ||||
\(643\) | −10.6811 | − | 10.6811i | −0.421223 | − | 0.421223i | 0.464402 | − | 0.885625i | \(-0.346269\pi\) |
−0.885625 | + | 0.464402i | \(0.846269\pi\) | |||||||
\(644\) | 40.2193 | + | 39.7862i | 1.58486 | + | 1.56780i | ||||
\(645\) | 6.45211 | + | 22.2530i | 0.254052 | + | 0.876212i | ||||
\(646\) | 5.69727 | − | 54.2059i | 0.224156 | − | 2.13270i | ||||
\(647\) | −5.43005 | + | 14.1458i | −0.213477 | + | 0.556127i | −0.997947 | − | 0.0640393i | \(-0.979602\pi\) |
0.784470 | + | 0.620167i | \(0.212935\pi\) | |||||||
\(648\) | 49.1298 | + | 2.57478i | 1.93000 | + | 0.101147i | ||||
\(649\) | 0.0209698 | + | 0.0363207i | 0.000823135 | + | 0.00142571i | ||||
\(650\) | −36.0717 | + | 9.22025i | −1.41485 | + | 0.361648i | ||||
\(651\) | −34.7461 | − | 42.4361i | −1.36181 | − | 1.66320i | ||||
\(652\) | −32.5852 | + | 16.6030i | −1.27614 | + | 0.650223i | ||||
\(653\) | −22.6948 | − | 28.0257i | −0.888116 | − | 1.09673i | −0.994740 | − | 0.102432i | \(-0.967337\pi\) |
0.106624 | − | 0.994299i | \(-0.465996\pi\) | |||||||
\(654\) | 39.3825 | − | 17.5342i | 1.53998 | − | 0.685643i | ||||
\(655\) | −22.4751 | − | 13.9519i | −0.878174 | − | 0.545145i | ||||
\(656\) | 8.57490 | − | 19.2595i | 0.334794 | − | 0.751959i | ||||
\(657\) | 5.40409 | − | 5.40409i | 0.210833 | − | 0.210833i | ||||
\(658\) | 14.6572 | − | 25.7074i | 0.571397 | − | 1.00218i | ||||
\(659\) | 30.6779 | − | 9.96786i | 1.19504 | − | 0.388293i | 0.357107 | − | 0.934063i | \(-0.383763\pi\) |
0.837935 | + | 0.545771i | \(0.183763\pi\) | |||||||
\(660\) | 0.202990 | + | 0.267728i | 0.00790136 | + | 0.0104213i | ||||
\(661\) | −13.5393 | + | 12.1908i | −0.526618 | + | 0.474169i | −0.889030 | − | 0.457849i | \(-0.848620\pi\) |
0.362412 | + | 0.932018i | \(0.381953\pi\) | |||||||
\(662\) | 21.0312 | + | 32.3852i | 0.817400 | + | 1.25869i | ||||
\(663\) | 49.6975 | − | 2.60454i | 1.93009 | − | 0.101152i | ||||
\(664\) | 12.4994 | − | 38.4692i | 0.485071 | − | 1.49290i | ||||
\(665\) | −17.3600 | + | 7.18341i | −0.673193 | + | 0.278561i | ||||
\(666\) | −14.4216 | − | 44.3852i | −0.558827 | − | 1.71989i | ||||
\(667\) | 0.118162 | + | 0.307822i | 0.00457525 | + | 0.0119189i | ||||
\(668\) | −28.5007 | + | 7.63675i | −1.10273 | + | 0.295475i | ||||
\(669\) | 17.0070 | − | 1.78751i | 0.657530 | − | 0.0691092i | ||||
\(670\) | 0.305105 | + | 1.70096i | 0.0117872 | + | 0.0657137i | ||||
\(671\) | −0.131290 | + | 0.180705i | −0.00506839 | + | 0.00697604i | ||||
\(672\) | −4.12508 | − | 3.67400i | −0.159128 | − | 0.141728i | ||||
\(673\) | −8.71675 | − | 17.1076i | −0.336006 | − | 0.659449i | 0.659750 | − | 0.751485i | \(-0.270662\pi\) |
−0.995756 | + | 0.0920367i | \(0.970662\pi\) | |||||||
\(674\) | −53.8205 | + | 31.0733i | −2.07309 | + | 1.19690i | ||||
\(675\) | −1.61382 | − | 8.04836i | −0.0621159 | − | 0.309782i | ||||
\(676\) | −7.04519 | + | 12.2026i | −0.270969 | + | 0.469332i | ||||
\(677\) | 19.3296 | − | 29.7649i | 0.742895 | − | 1.14396i | −0.241911 | − | 0.970299i | \(-0.577774\pi\) |
0.984806 | − | 0.173660i | \(-0.0555593\pi\) | |||||||
\(678\) | 3.49909 | + | 22.0924i | 0.134382 | + | 0.848453i | ||||
\(679\) | −16.2653 | − | 8.17698i | −0.624204 | − | 0.313804i | ||||
\(680\) | 41.0457 | + | 60.4669i | 1.57403 | + | 2.31880i | ||||
\(681\) | 24.6108 | + | 10.9574i | 0.943088 | + | 0.419890i | ||||
\(682\) | 0.0949172 | + | 0.354236i | 0.00363457 | + | 0.0135644i | ||||
\(683\) | −7.41808 | − | 6.00704i | −0.283845 | − | 0.229853i | 0.476815 | − | 0.879004i | \(-0.341791\pi\) |
−0.760660 | + | 0.649151i | \(0.775124\pi\) | |||||||
\(684\) | −18.9650 | + | 21.0627i | −0.725143 | + | 0.805353i | ||||
\(685\) | 6.66673 | − | 3.13274i | 0.254723 | − | 0.119696i | ||||
\(686\) | −34.5085 | + | 28.8848i | −1.31754 | + | 1.10283i | ||||
\(687\) | −28.1201 | + | 55.1888i | −1.07285 | + | 2.10558i | ||||
\(688\) | −0.810168 | − | 15.4589i | −0.0308874 | − | 0.589366i | ||||
\(689\) | −8.92332 | − | 9.91036i | −0.339952 | − | 0.377554i | ||||
\(690\) | 5.76152 | − | 68.1720i | 0.219337 | − | 2.59526i | ||||
\(691\) | −37.4522 | − | 33.7221i | −1.42475 | − | 1.28285i | −0.902926 | − | 0.429796i | \(-0.858585\pi\) |
−0.521823 | − | 0.853054i | \(-0.674748\pi\) | |||||||
\(692\) | −14.2938 | + | 90.2473i | −0.543367 | + | 3.43069i | ||||
\(693\) | −0.0590617 | + | 0.0822238i | −0.00224357 | + | 0.00312342i | ||||
\(694\) | −21.6421 | − | 29.7878i | −0.821524 | − | 1.13073i | ||||
\(695\) | 9.15148 | + | 4.43008i | 0.347135 | + | 0.168042i | ||||
\(696\) | 0.260504 | + | 0.585101i | 0.00987437 | + | 0.0221782i | ||||
\(697\) | 40.4740 | + | 15.5365i | 1.53306 | + | 0.588487i | ||||
\(698\) | −3.03494 | − | 1.97091i | −0.114874 | − | 0.0746002i | ||||
\(699\) | −50.2276 | −1.89978 | ||||||||
\(700\) | 23.7299 | − | 45.8746i | 0.896907 | − | 1.73390i | ||||
\(701\) | 41.2864 | 1.55936 | 0.779682 | − | 0.626176i | \(-0.215381\pi\) | ||||
0.779682 | + | 0.626176i | \(0.215381\pi\) | |||||||
\(702\) | 10.2525 | + | 6.65804i | 0.386955 | + | 0.251291i | ||||
\(703\) | −24.9099 | − | 9.56202i | −0.939495 | − | 0.360638i | ||||
\(704\) | 0.0617943 | + | 0.138792i | 0.00232896 | + | 0.00523093i | ||||
\(705\) | −23.2925 | + | 4.17803i | −0.877244 | + | 0.157354i | ||||
\(706\) | −13.4251 | − | 18.4781i | −0.505261 | − | 0.695431i | ||||
\(707\) | −11.5497 | − | 25.5677i | −0.434371 | − | 0.961571i | ||||
\(708\) | 3.51827 | − | 22.2135i | 0.132225 | − | 0.834834i | ||||
\(709\) | 1.43178 | + | 1.28918i | 0.0537715 | + | 0.0484161i | 0.695578 | − | 0.718450i | \(-0.255148\pi\) |
−0.641807 | + | 0.766866i | \(0.721815\pi\) | |||||||
\(710\) | 41.5623 | − | 9.72475i | 1.55981 | − | 0.364963i | ||||
\(711\) | −8.19493 | − | 9.10139i | −0.307334 | − | 0.341329i | ||||
\(712\) | 2.02700 | + | 38.6775i | 0.0759651 | + | 1.44950i | ||||
\(713\) | 22.4185 | − | 43.9987i | 0.839578 | − | 1.64777i | ||||
\(714\) | −65.2617 | + | 81.4895i | −2.44236 | + | 3.04967i | ||||
\(715\) | 0.0143147 | + | 0.113805i | 0.000535338 | + | 0.00425606i | ||||
\(716\) | −35.5957 | + | 39.5330i | −1.33027 | + | 1.47742i | ||||
\(717\) | 7.62472 | + | 6.17437i | 0.284750 | + | 0.230586i | ||||
\(718\) | −3.86356 | − | 14.4190i | −0.144187 | − | 0.538112i | ||||
\(719\) | 44.2991 | + | 19.7232i | 1.65208 | + | 0.735552i | 0.999749 | − | 0.0223865i | \(-0.00712643\pi\) |
0.652327 | + | 0.757938i | \(0.273793\pi\) | |||||||
\(720\) | 0.560930 | − | 17.5482i | 0.0209046 | − | 0.653981i | ||||
\(721\) | 0.577936 | − | 0.0334263i | 0.0215235 | − | 0.00124486i | ||||
\(722\) | −3.38876 | − | 21.3958i | −0.126117 | − | 0.796270i | ||||
\(723\) | −0.205633 | + | 0.316647i | −0.00764756 | + | 0.0117762i | ||||
\(724\) | 11.2262 | − | 19.4443i | 0.417217 | − | 0.722641i | ||||
\(725\) | 0.236109 | − | 0.186724i | 0.00876887 | − | 0.00693476i | ||||
\(726\) | −53.2178 | + | 30.7253i | −1.97510 | + | 1.14032i | ||||
\(727\) | −3.31875 | − | 6.51342i | −0.123086 | − | 0.241569i | 0.821239 | − | 0.570584i | \(-0.193283\pi\) |
−0.944325 | + | 0.329015i | \(0.893283\pi\) | |||||||
\(728\) | 11.7861 | + | 35.6168i | 0.436823 | + | 1.32005i | ||||
\(729\) | 7.63022 | − | 10.5021i | 0.282601 | − | 0.388967i | ||||
\(730\) | 13.1042 | + | 12.5800i | 0.485007 | + | 0.465607i | ||||
\(731\) | 31.6591 | − | 3.32750i | 1.17095 | − | 0.123072i | ||||
\(732\) | 115.699 | − | 31.0015i | 4.27636 | − | 1.14585i | ||||
\(733\) | 3.69327 | + | 9.62129i | 0.136414 | + | 0.355371i | 0.984722 | − | 0.174132i | \(-0.0557119\pi\) |
−0.848308 | + | 0.529503i | \(0.822379\pi\) | |||||||
\(734\) | 27.0939 | + | 83.3864i | 1.00005 | + | 3.07785i | ||||
\(735\) | 35.4169 | + | 6.37924i | 1.30637 | + | 0.235302i | ||||
\(736\) | 1.53691 | − | 4.73012i | 0.0566512 | − | 0.174354i | ||||
\(737\) | 0.00531660 | 0.000278631i | 0.000195839 | 1.02635e-5i | ||||||
\(738\) | −18.5681 | − | 28.5924i | −0.683502 | − | 1.05250i | ||||
\(739\) | 16.3525 | − | 14.7239i | 0.601537 | − | 0.541626i | −0.311111 | − | 0.950374i | \(-0.600701\pi\) |
0.912648 | + | 0.408747i | \(0.134034\pi\) | |||||||
\(740\) | 69.2845 | − | 24.0856i | 2.54695 | − | 0.885405i | ||||
\(741\) | −21.2794 | + | 6.91411i | −0.781720 | + | 0.253996i | ||||
\(742\) | 27.9760 | − | 0.151440i | 1.02703 | − | 0.00555953i | ||||
\(743\) | −32.3075 | + | 32.3075i | −1.18525 | + | 1.18525i | −0.206883 | + | 0.978366i | \(0.566332\pi\) |
−0.978366 | + | 0.206883i | \(0.933668\pi\) | |||||||
\(744\) | 39.0144 | − | 87.6278i | 1.43034 | − | 3.21259i | ||||
\(745\) | −15.3438 | − | 37.6567i | −0.562152 | − | 1.37963i | ||||
\(746\) | 41.2660 | − | 18.3728i | 1.51086 | − | 0.672676i | ||||
\(747\) | −12.5756 | − | 15.5296i | −0.460119 | − | 0.568199i | ||||
\(748\) | 0.411303 | − | 0.209569i | 0.0150387 | − | 0.00766262i | ||||
\(749\) | −10.0211 | + | 8.20512i | −0.366162 | + | 0.299809i | ||||
\(750\) | −60.9773 | + | 13.5267i | −2.22658 | + | 0.493924i | ||||
\(751\) | −11.0388 | − | 19.1197i | −0.402810 | − | 0.697687i | 0.591254 | − | 0.806485i | \(-0.298633\pi\) |
−0.994064 | + | 0.108798i | \(0.965300\pi\) | |||||||
\(752\) | 15.7890 | + | 0.827466i | 0.575765 | + | 0.0301746i | ||||
\(753\) | −0.109010 | + | 0.283980i | −0.00397253 | + | 0.0103488i | ||||
\(754\) | −0.0468599 | + | 0.445842i | −0.00170654 | + | 0.0162366i | ||||
\(755\) | 33.3790 | + | 25.9202i | 1.21479 | + | 0.943332i | ||||
\(756\) | −16.3566 | + | 4.47778i | −0.594885 | + | 0.162855i | ||||
\(757\) | 2.36580 | + | 2.36580i | 0.0859865 | + | 0.0859865i | 0.748792 | − | 0.662805i | \(-0.230634\pi\) |
−0.662805 | + | 0.748792i | \(0.730634\pi\) | |||||||
\(758\) | −50.4951 | + | 19.3833i | −1.83406 | + | 0.704032i | ||||
\(759\) | −0.206165 | − | 0.0438218i | −0.00748332 | − | 0.00159063i | ||||
\(760\) | −24.8614 | − | 21.4831i | −0.901818 | − | 0.779276i | ||||
\(761\) | −7.78209 | − | 36.6118i | −0.282101 | − | 1.32718i | −0.859675 | − | 0.510841i | \(-0.829334\pi\) |
0.577575 | − | 0.816338i | \(-0.303999\pi\) | |||||||
\(762\) | −36.2686 | − | 18.4798i | −1.31387 | − | 0.669451i | ||||
\(763\) | −15.0981 | + | 13.7431i | −0.546589 | + | 0.497535i | ||||
\(764\) | −55.0239 | − | 17.8784i | −1.99070 | − | 0.646816i | ||||
\(765\) | 36.0970 | − | 0.736683i | 1.30509 | − | 0.0266348i | ||||
\(766\) | −7.77758 | + | 36.5906i | −0.281015 | + | 1.32207i | ||||
\(767\) | 4.83197 | − | 5.96698i | 0.174472 | − | 0.215455i | ||||
\(768\) | 18.4604 | − | 68.8951i | 0.666132 | − | 2.48604i | ||||
\(769\) | −31.5396 | + | 22.9148i | −1.13735 | + | 0.826330i | −0.986747 | − | 0.162264i | \(-0.948120\pi\) |
−0.150599 | + | 0.988595i | \(0.548120\pi\) | |||||||
\(770\) | −0.198258 | − | 0.136365i | −0.00714473 | − | 0.00491424i | ||||
\(771\) | 17.0932 | + | 12.4189i | 0.615596 | + | 0.447257i | ||||
\(772\) | −50.4876 | + | 40.8841i | −1.81709 | + | 1.47145i | ||||
\(773\) | −1.21669 | + | 23.2158i | −0.0437612 | + | 0.835014i | 0.885285 | + | 0.465049i | \(0.153963\pi\) |
−0.929046 | + | 0.369964i | \(0.879370\pi\) | |||||||
\(774\) | −21.6795 | − | 12.5167i | −0.779254 | − | 0.449902i | ||||
\(775\) | −44.4430 | − | 7.56620i | −1.59644 | − | 0.271786i | ||||
\(776\) | − | 31.8387i | − | 1.14294i | ||||||
\(777\) | 30.2643 | + | 41.1845i | 1.08573 | + | 1.47749i | ||||
\(778\) | 28.6099 | − | 4.53136i | 1.02571 | − | 0.162457i | ||||
\(779\) | −19.3848 | − | 2.03743i | −0.694534 | − | 0.0729984i | ||||
\(780\) | 32.4410 | − | 52.2592i | 1.16157 | − | 1.87118i | ||||
\(781\) | −0.0137457 | − | 0.130782i | −0.000491861 | − | 0.00467975i | ||||
\(782\) | −90.7949 | − | 24.3284i | −3.24682 | − | 0.869983i | ||||
\(783\) | −0.0976210 | − | 0.0154617i | −0.00348869 | − | 0.000552554i | ||||
\(784\) | −22.0696 | − | 9.54110i | −0.788201 | − | 0.340754i | ||||
\(785\) | 36.0692 | − | 4.53687i | 1.28736 | − | 0.161928i | ||||
\(786\) | 64.6466 | − | 13.7411i | 2.30587 | − | 0.490127i | ||||
\(787\) | −13.8453 | + | 8.99124i | −0.493531 | + | 0.320503i | −0.767295 | − | 0.641294i | \(-0.778398\pi\) |
0.273764 | + | 0.961797i | \(0.411731\pi\) | |||||||
\(788\) | −50.9422 | + | 33.0822i | −1.81474 | + | 1.17851i | ||||
\(789\) | −47.0414 | + | 9.99896i | −1.67472 | + | 0.355972i | ||||
\(790\) | 21.2308 | − | 19.9156i | 0.755358 | − | 0.708564i | ||||
\(791\) | −4.86024 | − | 9.41245i | −0.172810 | − | 0.334668i | ||||
\(792\) | −0.174874 | − | 0.0276973i | −0.00621388 | − | 0.000984182i | ||||
\(793\) | 39.4989 | + | 10.5837i | 1.40265 | + | 0.375838i | ||||
\(794\) | 1.72174 | + | 16.3812i | 0.0611022 | + | 0.581349i | ||||
\(795\) | −14.4310 | − | 17.0954i | −0.511814 | − | 0.606312i | ||||
\(796\) | −7.67997 | − | 0.807198i | −0.272209 | − | 0.0286104i | ||||
\(797\) | −43.0687 | + | 6.82142i | −1.52557 | + | 0.241627i | −0.862164 | − | 0.506630i | \(-0.830891\pi\) |
−0.663409 | + | 0.748257i | \(0.730891\pi\) | |||||||
\(798\) | 18.8592 | − | 42.9832i | 0.667609 | − | 1.52159i | ||||
\(799\) | 32.5131i | 1.15023i | ||||||||
\(800\) | −4.54030 | − | 0.0524369i | −0.160524 | − | 0.00185393i | ||||
\(801\) | 16.5705 | + | 9.56698i | 0.585490 | + | 0.338033i | ||||
\(802\) | 2.32531 | − | 44.3695i | 0.0821095 | − | 1.56674i | ||||
\(803\) | 0.0434914 | − | 0.0352186i | 0.00153478 | − | 0.00124284i | ||||
\(804\) | −2.30973 | − | 1.67811i | −0.0814578 | − | 0.0591825i | ||||
\(805\) | 7.55244 | + | 31.5083i | 0.266189 | + | 1.11052i | ||||
\(806\) | 54.3169 | − | 39.4635i | 1.91323 | − | 1.39004i | ||||
\(807\) | 0.900061 | − | 3.35907i | 0.0316836 | − | 0.118245i | ||||
\(808\) | 30.8782 | − | 38.1313i | 1.08629 | − | 1.34146i | ||||
\(809\) | 3.06134 | − | 14.4025i | 0.107631 | − | 0.506364i | −0.890997 | − | 0.454008i | \(-0.849994\pi\) |
0.998628 | − | 0.0523559i | \(-0.0166730\pi\) | |||||||
\(810\) | 47.4193 | + | 32.9951i | 1.66614 | + | 1.15933i | ||||
\(811\) | 24.6251 | + | 8.00118i | 0.864704 | + | 0.280959i | 0.707592 | − | 0.706621i | \(-0.249782\pi\) |
0.157112 | + | 0.987581i | \(0.449782\pi\) | |||||||
\(812\) | −0.418623 | − | 0.459897i | −0.0146908 | − | 0.0161392i | ||||
\(813\) | −18.6144 | − | 9.48450i | −0.652835 | − | 0.332636i | ||||
\(814\) | −0.0710517 | − | 0.334272i | −0.00249036 | − | 0.0117162i | ||||
\(815\) | −20.8708 | − | 1.76388i | −0.731071 | − | 0.0617862i | ||||
\(816\) | −54.5610 | − | 11.5973i | −1.91002 | − | 0.405986i | ||||
\(817\) | −13.3616 | + | 5.12904i | −0.467464 | + | 0.179442i | ||||
\(818\) | −27.3344 | − | 27.3344i | −0.955725 | − | 0.955725i | ||||
\(819\) | 17.9282 | + | 4.69998i | 0.626463 | + | 0.164231i | ||||
\(820\) | 44.3347 | − | 30.0950i | 1.54823 | − | 1.05096i | ||||
\(821\) | −5.12351 | + | 48.7470i | −0.178812 | + | 1.70128i | 0.425846 | + | 0.904796i | \(0.359977\pi\) |
−0.604657 | + | 0.796486i | \(0.706690\pi\) | |||||||
\(822\) | −6.59517 | + | 17.1810i | −0.230033 | + | 0.599256i | ||||
\(823\) | −52.8866 | − | 2.77167i | −1.84351 | − | 0.0966142i | −0.901618 | − | 0.432533i | \(-0.857620\pi\) |
−0.941891 | + | 0.335918i | \(0.890953\pi\) | |||||||
\(824\) | 0.506220 | + | 0.876799i | 0.0176350 | + | 0.0305447i | ||||
\(825\) | 0.0179024 | + | 0.191589i | 0.000623282 | + | 0.00667028i | ||||
\(826\) | 2.60585 | + | 15.8953i | 0.0906690 | + | 0.553068i | ||||
\(827\) | 4.78458 | − | 2.43786i | 0.166376 | − | 0.0847728i | −0.368819 | − | 0.929501i | \(-0.620238\pi\) |
0.535196 | + | 0.844728i | \(0.320238\pi\) | |||||||
\(828\) | 30.7609 | + | 37.9865i | 1.06901 | + | 1.32012i | ||||
\(829\) | −32.0214 | + | 14.2568i | −1.11215 | + | 0.495161i | −0.878780 | − | 0.477228i | \(-0.841642\pi\) |
−0.233369 | + | 0.972388i | \(0.574975\pi\) | |||||||
\(830\) | 36.2942 | − | 30.6375i | 1.25979 | − | 1.06344i | ||||
\(831\) | 12.7778 | − | 28.6994i | 0.443257 | − | 0.995571i | ||||
\(832\) | 19.6675 | − | 19.6675i | 0.681847 | − | 0.681847i | ||||
\(833\) | 17.2183 | − | 46.3488i | 0.596577 | − | 1.60589i | ||||
\(834\) | −24.1587 | + | 7.84964i | −0.836548 | + | 0.271811i | ||||
\(835\) | −16.1750 | − | 4.89301i | −0.559757 | − | 0.169330i | ||||
\(836\) | −0.154233 | + | 0.138872i | −0.00533427 | + | 0.00480300i | ||||
\(837\) | 8.06201 | + | 12.4144i | 0.278664 | + | 0.429105i | ||||
\(838\) | 86.2499 | − | 4.52017i | 2.97945 | − | 0.156147i | ||||
\(839\) | −4.17081 | + | 12.8364i | −0.143992 | + | 0.443163i | −0.996880 | − | 0.0789314i | \(-0.974849\pi\) |
0.852888 | + | 0.522095i | \(0.174849\pi\) | |||||||
\(840\) | 17.8534 | + | 60.3520i | 0.616000 | + | 2.08234i | ||||
\(841\) | 8.96037 | + | 27.5772i | 0.308978 | + | 0.950938i | ||||
\(842\) | −12.2359 | − | 31.8755i | −0.421675 | − | 1.09850i | ||||
\(843\) | 8.85167 | − | 2.37180i | 0.304868 | − | 0.0816891i | ||||
\(844\) | 35.4900 | − | 3.73015i | 1.22162 | − | 0.128397i | ||||
\(845\) | −7.11407 | + | 3.80960i | −0.244731 | + | 0.131054i | ||||
\(846\) | 15.0284 | − | 20.6848i | 0.516686 | − | 0.711158i | ||||
\(847\) | 19.3560 | − | 21.7325i | 0.665081 | − | 0.746737i | ||||
\(848\) | 6.78594 | + | 13.3182i | 0.233030 | + | 0.457347i | ||||
\(849\) | −37.6256 | + | 21.7232i | −1.29131 | + | 0.745537i | ||||
\(850\) | 3.50126 | + | 85.7441i | 0.120092 | + | 2.94100i | ||||
\(851\) | −23.0079 | + | 39.8508i | −0.788699 | + | 1.36607i | ||||
\(852\) | −38.4075 | + | 59.1423i | −1.31582 | + | 2.02618i | ||||
\(853\) | 5.33840 | + | 33.7053i | 0.182783 | + | 1.15405i | 0.892997 | + | 0.450063i | \(0.148598\pi\) |
−0.710214 | + | 0.703986i | \(0.751402\pi\) | |||||||
\(854\) | −71.6923 | + | 47.1112i | −2.45326 | + | 1.61211i | ||||
\(855\) | −15.5904 | + | 4.52033i | −0.533181 | + | 0.154592i | ||||
\(856\) | −20.6929 | − | 9.21306i | −0.707268 | − | 0.314896i | ||||
\(857\) | 1.77688 | + | 6.63141i | 0.0606971 | + | 0.226525i | 0.989611 | − | 0.143771i | \(-0.0459230\pi\) |
−0.928914 | + | 0.370296i | \(0.879256\pi\) | |||||||
\(858\) | −0.222706 | − | 0.180344i | −0.00760305 | − | 0.00615683i | ||||
\(859\) | 29.6526 | − | 32.9326i | 1.01174 | − | 1.12365i | 0.0194321 | − | 0.999811i | \(-0.493814\pi\) |
0.992303 | − | 0.123834i | \(-0.0395192\pi\) | |||||||
\(860\) | 18.9735 | − | 34.4686i | 0.646990 | − | 1.17537i | ||||
\(861\) | 29.1419 | + | 23.3386i | 0.993152 | + | 0.795376i | ||||
\(862\) | 4.19824 | − | 8.23950i | 0.142993 | − | 0.280639i | ||||
\(863\) | 0.105676 | + | 2.01642i | 0.00359726 | + | 0.0686398i | 0.999838 | − | 0.0179852i | \(-0.00572516\pi\) |
−0.996241 | + | 0.0866249i | \(0.972392\pi\) | |||||||
\(864\) | 0.997589 | + | 1.10794i | 0.0339387 | + | 0.0376927i | ||||
\(865\) | −34.2154 | + | 39.5959i | −1.16336 | + | 1.34630i | ||||
\(866\) | 2.24014 | + | 2.01703i | 0.0761230 | + | 0.0685415i | ||||
\(867\) | 11.8297 | − | 74.6900i | 0.401759 | − | 2.53661i | ||||
\(868\) | −9.23402 | + | 92.6791i | −0.313423 | + | 3.14573i | ||||
\(869\) | −0.0527129 | − | 0.0725531i | −0.00178816 | − | 0.00246119i | ||||
\(870\) | −0.102468 | + | 0.745052i | −0.00347399 | + | 0.0252596i | ||||
\(871\) | −0.396434 | − | 0.890406i | −0.0134327 | − | 0.0301703i | ||||
\(872\) | −33.3345 | − | 12.7959i | −1.12885 | − | 0.433324i | ||||
\(873\) | −13.1916 | − | 8.56673i | −0.446468 | − | 0.289940i | ||||
\(874\) | 42.2612 | 1.42950 | ||||||||
\(875\) | 25.4037 | − | 15.1542i | 0.858802 | − | 0.512307i | ||||
\(876\) | −30.0106 | −1.01396 | ||||||||
\(877\) | −39.3610 | − | 25.5614i | −1.32913 | − | 0.863146i | −0.332334 | − | 0.943162i | \(-0.607836\pi\) |
−0.996794 | + | 0.0800162i | \(0.974503\pi\) | |||||||
\(878\) | −12.3548 | − | 4.74256i | −0.416954 | − | 0.160054i | ||||
\(879\) | 6.53998 | + | 14.6890i | 0.220588 | + | 0.495449i | ||||
\(880\) | 0.0175166 | − | 0.127364i | 0.000590485 | − | 0.00429345i | ||||
\(881\) | −12.9945 | − | 17.8855i | −0.437797 | − | 0.602576i | 0.531924 | − | 0.846792i | \(-0.321469\pi\) |
−0.969721 | + | 0.244216i | \(0.921469\pi\) | |||||||
\(882\) | −32.3778 | + | 21.5283i | −1.09022 | + | 0.724896i | ||||
\(883\) | 2.48456 | − | 15.6869i | 0.0836122 | − | 0.527906i | −0.909959 | − | 0.414698i | \(-0.863887\pi\) |
0.993571 | − | 0.113208i | \(-0.0361128\pi\) | |||||||
\(884\) | −62.8034 | − | 56.5485i | −2.11231 | − | 1.90193i | ||||
\(885\) | 8.42180 | − | 9.74614i | 0.283096 | − | 0.327613i | ||||
\(886\) | 29.7457 | + | 33.0360i | 0.999327 | + | 1.10986i | ||||
\(887\) | 0.918554 | + | 17.5270i | 0.0308420 | + | 0.588501i | 0.969715 | + | 0.244238i | \(0.0785378\pi\) |
−0.938873 | + | 0.344263i | \(0.888129\pi\) | |||||||
\(888\) | −40.5794 | + | 79.6415i | −1.36175 | + | 2.67259i | ||||
\(889\) | 19.0564 | + | 2.91258i | 0.639130 | + | 0.0976848i | ||||
\(890\) | −21.9310 | + | 39.8416i | −0.735130 | + | 1.33549i | ||||
\(891\) | 0.119088 | − | 0.132260i | 0.00398958 | − | 0.00443088i | ||||
\(892\) | −22.5682 | − | 18.2753i | −0.755638 | − | 0.611904i | ||||
\(893\) | −3.78336 | − | 14.1197i | −0.126605 | − | 0.472498i | ||||
\(894\) | 92.8081 | + | 41.3208i | 3.10397 | + | 1.38198i | ||||
\(895\) | −29.2619 | + | 8.48429i | −0.978117 | + | 0.283598i | ||||
\(896\) | 3.09170 | + | 53.4551i | 0.103287 | + | 1.78581i | ||||
\(897\) | 6.03632 | + | 38.1118i | 0.201547 | + | 1.27252i | ||||
\(898\) | −9.64664 | + | 14.8545i | −0.321912 | + | 0.495702i | ||||
\(899\) | −0.271415 | + | 0.470104i | −0.00905219 | + | 0.0156789i | ||||
\(900\) | 24.7349 | − | 37.1422i | 0.824497 | − | 1.23807i | ||||
\(901\) | −26.6196 | + | 15.3689i | −0.886829 | + | 0.512011i | ||||
\(902\) | −0.113336 | − | 0.222435i | −0.00377369 | − | 0.00740629i | ||||
\(903\) | 26.8459 | + | 5.55457i | 0.893377 | + | 0.184844i | ||||
\(904\) | 10.8896 | − | 14.9882i | 0.362182 | − | 0.498500i | ||||
\(905\) | 11.3359 | − | 6.07041i | 0.376818 | − | 0.201787i | ||||
\(906\) | −105.006 | + | 11.0366i | −3.48860 | + | 0.366667i | ||||
\(907\) | −28.7163 | + | 7.69450i | −0.953508 | + | 0.255492i | −0.701850 | − | 0.712325i | \(-0.747642\pi\) |
−0.251658 | + | 0.967816i | \(0.580976\pi\) | |||||||
\(908\) | −16.3947 | − | 42.7097i | −0.544078 | − | 1.41737i | ||||
\(909\) | −7.49054 | − | 23.0535i | −0.248445 | − | 0.764636i | ||||
\(910\) | −10.2994 | + | 42.8320i | −0.341422 | + | 1.41987i | ||||
\(911\) | 12.1969 | − | 37.5382i | 0.404101 | − | 1.24370i | −0.517542 | − | 0.855658i | \(-0.673153\pi\) |
0.921643 | − | 0.388038i | \(-0.126847\pi\) | |||||||
\(912\) | 25.0441 | − | 1.31251i | 0.829293 | − | 0.0434614i | ||||
\(913\) | −0.0796949 | − | 0.122719i | −0.00263752 | − | 0.00406142i | ||||
\(914\) | 21.3387 | − | 19.2135i | 0.705822 | − | 0.635525i | ||||
\(915\) | 65.6624 | + | 19.8632i | 2.17073 | + | 0.656658i | ||||
\(916\) | 100.036 | − | 32.5036i | 3.30528 | − | 1.07395i | ||||
\(917\) | −27.0216 | + | 15.7966i | −0.892331 | + | 0.521648i | ||||
\(918\) | 19.9241 | − | 19.9241i | 0.657593 | − | 0.657593i | ||||
\(919\) | 6.01760 | − | 13.5158i | 0.198502 | − | 0.445844i | −0.786678 | − | 0.617363i | \(-0.788201\pi\) |
0.985181 | + | 0.171519i | \(0.0548676\pi\) | |||||||
\(920\) | −43.3007 | + | 36.5520i | −1.42758 | + | 1.20508i | ||||
\(921\) | 14.1529 | − | 6.30127i | 0.466353 | − | 0.207634i | ||||
\(922\) | −1.30162 | − | 1.60736i | −0.0428664 | − | 0.0529356i | ||||
\(923\) | −21.4508 | + | 10.9297i | −0.706061 | + | 0.359756i | ||||
\(924\) | 0.392301 | − | 0.0643132i | 0.0129058 | − | 0.00211575i | ||||
\(925\) | 40.9885 | + | 9.20837i | 1.34769 | + | 0.302769i | ||||
\(926\) | 46.9570 | + | 81.3318i | 1.54310 | + | 2.67273i | ||||
\(927\) | 0.499488 | + | 0.0261771i | 0.0164053 | + | 0.000859767i | ||||
\(928\) | −0.0195929 | + | 0.0510413i | −0.000643169 | + | 0.00167551i | ||||
\(929\) | 1.81026 | − | 17.2234i | 0.0593925 | − | 0.565082i | −0.923847 | − | 0.382763i | \(-0.874973\pi\) |
0.983239 | − | 0.182320i | \(-0.0583606\pi\) | |||||||
\(930\) | 93.1908 | − | 63.2591i | 3.05585 | − | 2.07435i | ||||
\(931\) | −2.08416 | + | 22.1318i | −0.0683056 | + | 0.725341i | ||||
\(932\) | 60.3124 | + | 60.3124i | 1.97560 | + | 1.97560i | ||||
\(933\) | −5.64278 | + | 2.16606i | −0.184736 | + | 0.0709136i | ||||
\(934\) | −21.2562 | − | 4.51814i | −0.695523 | − | 0.147838i | ||||
\(935\) | 0.263439 | + | 0.0222644i | 0.00861538 | + | 0.000728125i | ||||
\(936\) | 6.73928 | + | 31.7058i | 0.220280 | + | 1.03634i | ||||
\(937\) | 29.8820 | + | 15.2256i | 0.976202 | + | 0.497400i | 0.867911 | − | 0.496719i | \(-0.165462\pi\) |
0.108291 | + | 0.994119i | \(0.465462\pi\) | |||||||
\(938\) | 1.94804 | + | 0.621317i | 0.0636056 | + | 0.0202867i | ||||
\(939\) | 9.50975 | + | 3.08990i | 0.310339 | + | 0.100835i | ||||
\(940\) | 32.9861 | + | 22.9523i | 1.07589 | + | 0.748621i | ||||
\(941\) | 9.06149 | − | 42.6310i | 0.295396 | − | 1.38973i | −0.540732 | − | 0.841195i | \(-0.681853\pi\) |
0.836128 | − | 0.548534i | \(-0.184814\pi\) | |||||||
\(942\) | −57.1579 | + | 70.5841i | −1.86230 | + | 2.29975i | ||||
\(943\) | −8.70021 | + | 32.4696i | −0.283318 | + | 1.05736i | ||||
\(944\) | −6.96237 | + | 5.05846i | −0.226606 | + | 0.164639i | ||||
\(945\) | −9.31155 | − | 2.76186i | −0.302905 | − | 0.0898434i | ||||
\(946\) | −0.148300 | − | 0.107746i | −0.00482164 | − | 0.00350312i | ||||
\(947\) | −4.28310 | + | 3.46839i | −0.139182 | + | 0.112707i | −0.696383 | − | 0.717670i | \(-0.745209\pi\) |
0.557201 | + | 0.830378i | \(0.311875\pi\) | |||||||
\(948\) | −2.51693 | + | 48.0259i | −0.0817462 | + | 1.55981i | ||||
\(949\) | −8.87279 | − | 5.12271i | −0.288023 | − | 0.166290i | ||||
\(950\) | −11.4981 | − | 36.8293i | −0.373047 | − | 1.19490i | ||||
\(951\) | − | 47.7071i | − | 1.54701i | ||||||
\(952\) | 85.9480 | − | 9.50416i | 2.78559 | − | 0.308032i | ||||
\(953\) | −6.68823 | + | 1.05931i | −0.216653 | + | 0.0343145i | −0.263817 | − | 0.964573i | \(-0.584982\pi\) |
0.0471642 | + | 0.998887i | \(0.484982\pi\) | |||||||
\(954\) | 24.0393 | + | 2.52663i | 0.778300 | + | 0.0818026i | ||||
\(955\) | −21.3738 | − | 25.3201i | −0.691638 | − | 0.819338i | ||||
\(956\) | −1.74155 | − | 16.5697i | −0.0563257 | − | 0.535903i | ||||
\(957\) | 0.00223799 | 0.000599669i | 7.23441e−5 | 1.93845e-5i | ||||||
\(958\) | 2.32607 | + | 0.368413i | 0.0751518 | + | 0.0119029i | ||||
\(959\) | 0.409023 | − | 8.70608i | 0.0132080 | − | 0.281134i | ||||
\(960\) | 34.0315 | − | 31.9232i | 1.09836 | − | 1.03032i | ||||
\(961\) | 49.1979 | − | 10.4573i | 1.58703 | − | 0.337333i | ||||
\(962\) | −52.4706 | + | 34.0748i | −1.69172 | + | 1.09862i | ||||
\(963\) | −9.38497 | + | 6.09467i | −0.302426 | + | 0.196398i | ||||
\(964\) | 0.627144 | − | 0.133304i | 0.0201989 | − | 0.00429342i | ||||
\(965\) | −36.9163 | + | 4.64342i | −1.18838 | + | 0.149477i | ||||
\(966\) | −68.1278 | − | 43.7202i | −2.19198 | − | 1.40668i | ||||
\(967\) | −57.0421 | − | 9.03458i | −1.83435 | − | 0.290533i | −0.859128 | − | 0.511760i | \(-0.828994\pi\) |
−0.975222 | + | 0.221228i | \(0.928994\pi\) | |||||||
\(968\) | 49.1630 | + | 13.1732i | 1.58016 | + | 0.423403i | ||||
\(969\) | 5.39069 | + | 51.2890i | 0.173174 | + | 1.64764i | ||||
\(970\) | 19.7179 | − | 31.7636i | 0.633105 | − | 1.01987i | ||||
\(971\) | −19.5233 | − | 2.05199i | −0.626534 | − | 0.0658514i | −0.214060 | − | 0.976821i | \(-0.568669\pi\) |
−0.412474 | + | 0.910969i | \(0.635335\pi\) | |||||||
\(972\) | −75.2723 | + | 11.9220i | −2.41436 | + | 0.382397i | ||||
\(973\) | 9.69420 | − | 7.12374i | 0.310782 | − | 0.228377i | ||||
\(974\) | − | 84.2473i | − | 2.69946i | ||||||
\(975\) | 31.5710 | − | 15.6296i | 1.01108 | − | 0.500548i | ||||
\(976\) | −39.6935 | − | 22.9170i | −1.27056 | − | 0.733556i | ||||
\(977\) | −1.28796 | + | 24.5758i | −0.0412056 | + | 0.786249i | 0.897392 | + | 0.441235i | \(0.145459\pi\) |
−0.938597 | + | 0.345014i | \(0.887874\pi\) | |||||||
\(978\) | 40.6674 | − | 32.9318i | 1.30040 | − | 1.05304i | ||||
\(979\) | 0.113351 | + | 0.0823545i | 0.00362272 | + | 0.00263206i | ||||
\(980\) | −34.8680 | − | 50.1882i | −1.11382 | − | 1.60320i | ||||
\(981\) | −14.2709 | + | 10.3684i | −0.455634 | + | 0.331038i | ||||
\(982\) | −3.21913 | + | 12.0140i | −0.102727 | + | 0.383381i | ||||
\(983\) | −28.2657 | + | 34.9053i | −0.901537 | + | 1.11331i | 0.0915351 | + | 0.995802i | \(0.470823\pi\) |
−0.993072 | + | 0.117504i | \(0.962511\pi\) | |||||||
\(984\) | −13.5758 | + | 63.8690i | −0.432780 | + | 2.03607i | ||||
\(985\) | −34.7808 | + | 0.709822i | −1.10821 | + | 0.0226168i | ||||
\(986\) | 0.982717 | + | 0.319304i | 0.0312961 | + | 0.0101687i | ||||
\(987\) | −8.50816 | + | 26.6759i | −0.270818 | + | 0.849103i | ||||
\(988\) | 33.8543 | + | 17.2496i | 1.07705 | + | 0.548784i | ||||
\(989\) | 5.13183 | + | 24.1433i | 0.163183 | + | 0.767714i | ||||
\(990\) | −0.157308 | − | 0.135933i | −0.00499959 | − | 0.00432023i | ||||
\(991\) | 45.3163 | + | 9.63229i | 1.43952 | + | 0.305980i | 0.860549 | − | 0.509368i | \(-0.170121\pi\) |
0.578972 | + | 0.815347i | \(0.303454\pi\) | |||||||
\(992\) | 7.64421 | − | 2.93434i | 0.242704 | − | 0.0931653i | ||||
\(993\) | −25.8356 | − | 25.8356i | −0.819867 | − | 0.819867i | ||||
\(994\) | 12.8075 | − | 48.8545i | 0.406229 | − | 1.54957i | ||||
\(995\) | −3.49318 | − | 2.71260i | −0.110741 | − | 0.0859952i | ||||
\(996\) | −8.20219 | + | 78.0386i | −0.259896 | + | 2.47275i | ||||
\(997\) | 8.86960 | − | 23.1061i | 0.280903 | − | 0.731778i | −0.718442 | − | 0.695587i | \(-0.755144\pi\) |
0.999345 | − | 0.0361906i | \(-0.0115223\pi\) | |||||||
\(998\) | 88.4014 | + | 4.63292i | 2.79830 | + | 0.146653i | ||||
\(999\) | −6.89686 | − | 11.9457i | −0.218207 | − | 0.377946i |
(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 | 175.2.x.a.122.18 | yes | 288 | |
5.2 | odd | 4 | 875.2.bb.a.493.1 | 288 | |||
5.3 | odd | 4 | 875.2.bb.b.493.18 | 288 | |||
5.4 | even | 2 | 875.2.bb.c.507.1 | 288 | |||
7.5 | odd | 6 | inner | 175.2.x.a.47.18 | yes | 288 | |
25.6 | even | 5 | 875.2.bb.b.857.1 | 288 | |||
25.8 | odd | 20 | inner | 175.2.x.a.108.18 | yes | 288 | |
25.17 | odd | 20 | 875.2.bb.c.143.1 | 288 | |||
25.19 | even | 10 | 875.2.bb.a.857.18 | 288 | |||
35.12 | even | 12 | 875.2.bb.a.243.18 | 288 | |||
35.19 | odd | 6 | 875.2.bb.c.257.1 | 288 | |||
35.33 | even | 12 | 875.2.bb.b.243.1 | 288 | |||
175.19 | odd | 30 | 875.2.bb.a.607.1 | 288 | |||
175.33 | even | 60 | inner | 175.2.x.a.33.18 | ✓ | 288 | |
175.117 | even | 60 | 875.2.bb.c.768.1 | 288 | |||
175.131 | odd | 30 | 875.2.bb.b.607.18 | 288 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
175.2.x.a.33.18 | ✓ | 288 | 175.33 | even | 60 | inner | |
175.2.x.a.47.18 | yes | 288 | 7.5 | odd | 6 | inner | |
175.2.x.a.108.18 | yes | 288 | 25.8 | odd | 20 | inner | |
175.2.x.a.122.18 | yes | 288 | 1.1 | even | 1 | trivial | |
875.2.bb.a.243.18 | 288 | 35.12 | even | 12 | |||
875.2.bb.a.493.1 | 288 | 5.2 | odd | 4 | |||
875.2.bb.a.607.1 | 288 | 175.19 | odd | 30 | |||
875.2.bb.a.857.18 | 288 | 25.19 | even | 10 | |||
875.2.bb.b.243.1 | 288 | 35.33 | even | 12 | |||
875.2.bb.b.493.18 | 288 | 5.3 | odd | 4 | |||
875.2.bb.b.607.18 | 288 | 175.131 | odd | 30 | |||
875.2.bb.b.857.1 | 288 | 25.6 | even | 5 | |||
875.2.bb.c.143.1 | 288 | 25.17 | odd | 20 | |||
875.2.bb.c.257.1 | 288 | 35.19 | odd | 6 | |||
875.2.bb.c.507.1 | 288 | 5.4 | even | 2 | |||
875.2.bb.c.768.1 | 288 | 175.117 | even | 60 |