Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(165,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.165");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.e (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 165.13 | ||
Character | \(\chi\) | \(=\) | 287.165 |
Dual form | 287.2.e.d.247.13 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.834451 | + | 1.44531i | 0.590046 | + | 1.02199i | 0.994226 | + | 0.107310i | \(0.0342236\pi\) |
−0.404180 | + | 0.914679i | \(0.632443\pi\) | |||||||
\(3\) | 0.106774 | − | 0.184938i | 0.0616461 | − | 0.106774i | −0.833555 | − | 0.552436i | \(-0.813698\pi\) |
0.895201 | + | 0.445662i | \(0.147032\pi\) | |||||||
\(4\) | −0.392616 | + | 0.680030i | −0.196308 | + | 0.340015i | ||||
\(5\) | −0.501668 | − | 0.868914i | −0.224353 | − | 0.388590i | 0.731772 | − | 0.681549i | \(-0.238693\pi\) |
−0.956125 | + | 0.292959i | \(0.905360\pi\) | |||||||
\(6\) | 0.356391 | 0.145496 | ||||||||
\(7\) | 2.44503 | − | 1.01086i | 0.924134 | − | 0.382068i | ||||
\(8\) | 2.02733 | 0.716769 | ||||||||
\(9\) | 1.47720 | + | 2.55858i | 0.492400 | + | 0.852861i | ||||
\(10\) | 0.837234 | − | 1.45013i | 0.264757 | − | 0.458572i | ||||
\(11\) | 1.75783 | − | 3.04466i | 0.530007 | − | 0.917999i | −0.469380 | − | 0.882996i | \(-0.655523\pi\) |
0.999387 | − | 0.0350028i | \(-0.0111440\pi\) | |||||||
\(12\) | 0.0838424 | + | 0.145219i | 0.0242032 | + | 0.0419212i | ||||
\(13\) | −5.76131 | −1.59790 | −0.798950 | − | 0.601397i | \(-0.794611\pi\) | ||||
−0.798950 | + | 0.601397i | \(0.794611\pi\) | |||||||
\(14\) | 3.50126 | + | 2.69032i | 0.935751 | + | 0.719017i | ||||
\(15\) | −0.214261 | −0.0553219 | ||||||||
\(16\) | 2.47694 | + | 4.29018i | 0.619234 | + | 1.07255i | ||||
\(17\) | −2.43292 | + | 4.21394i | −0.590069 | + | 1.02203i | 0.404154 | + | 0.914691i | \(0.367566\pi\) |
−0.994223 | + | 0.107338i | \(0.965767\pi\) | |||||||
\(18\) | −2.46530 | + | 4.27002i | −0.581076 | + | 1.00645i | ||||
\(19\) | 1.97335 | + | 3.41794i | 0.452717 | + | 0.784129i | 0.998554 | − | 0.0537626i | \(-0.0171214\pi\) |
−0.545837 | + | 0.837892i | \(0.683788\pi\) | |||||||
\(20\) | 0.787850 | 0.176169 | ||||||||
\(21\) | 0.0741198 | − | 0.560113i | 0.0161743 | − | 0.122227i | ||||
\(22\) | 5.86730 | 1.25091 | ||||||||
\(23\) | −1.94368 | − | 3.36655i | −0.405285 | − | 0.701974i | 0.589070 | − | 0.808082i | \(-0.299494\pi\) |
−0.994355 | + | 0.106108i | \(0.966161\pi\) | |||||||
\(24\) | 0.216466 | − | 0.374931i | 0.0441860 | − | 0.0765324i | ||||
\(25\) | 1.99666 | − | 3.45831i | 0.399332 | − | 0.691663i | ||||
\(26\) | −4.80753 | − | 8.32689i | −0.942834 | − | 1.63304i | ||||
\(27\) | 1.27155 | 0.244710 | ||||||||
\(28\) | −0.272543 | + | 2.05957i | −0.0515058 | + | 0.389222i | ||||
\(29\) | −5.00025 | −0.928523 | −0.464261 | − | 0.885698i | \(-0.653680\pi\) | ||||
−0.464261 | + | 0.885698i | \(0.653680\pi\) | |||||||
\(30\) | −0.178790 | − | 0.309673i | −0.0326424 | − | 0.0565384i | ||||
\(31\) | −1.70274 | + | 2.94923i | −0.305821 | + | 0.529697i | −0.977444 | − | 0.211196i | \(-0.932264\pi\) |
0.671623 | + | 0.740893i | \(0.265598\pi\) | |||||||
\(32\) | −2.10643 | + | 3.64845i | −0.372368 | + | 0.644961i | ||||
\(33\) | −0.375383 | − | 0.650182i | −0.0653457 | − | 0.113182i | ||||
\(34\) | −8.12060 | −1.39267 | ||||||||
\(35\) | −2.10494 | − | 1.61741i | −0.355800 | − | 0.273392i | ||||
\(36\) | −2.31988 | −0.386647 | ||||||||
\(37\) | −3.40066 | − | 5.89012i | −0.559065 | − | 0.968329i | −0.997575 | − | 0.0696026i | \(-0.977827\pi\) |
0.438510 | − | 0.898726i | \(-0.355506\pi\) | |||||||
\(38\) | −3.29332 | + | 5.70420i | −0.534248 | + | 0.925344i | ||||
\(39\) | −0.615159 | + | 1.06549i | −0.0985043 | + | 0.170615i | ||||
\(40\) | −1.01705 | − | 1.76157i | −0.160809 | − | 0.278529i | ||||
\(41\) | 1.00000 | 0.156174 | ||||||||
\(42\) | 0.871387 | − | 0.360261i | 0.134458 | − | 0.0555894i | ||||
\(43\) | 1.87465 | 0.285881 | 0.142940 | − | 0.989731i | \(-0.454344\pi\) | ||||
0.142940 | + | 0.989731i | \(0.454344\pi\) | |||||||
\(44\) | 1.38031 | + | 2.39076i | 0.208089 | + | 0.360421i | ||||
\(45\) | 1.48213 | − | 2.56712i | 0.220942 | − | 0.382683i | ||||
\(46\) | 3.24381 | − | 5.61844i | 0.478273 | − | 0.828393i | ||||
\(47\) | −2.95678 | − | 5.12129i | −0.431290 | − | 0.747016i | 0.565695 | − | 0.824615i | \(-0.308608\pi\) |
−0.996985 | + | 0.0775985i | \(0.975275\pi\) | |||||||
\(48\) | 1.05789 | 0.152694 | ||||||||
\(49\) | 4.95634 | − | 4.94315i | 0.708048 | − | 0.706164i | ||||
\(50\) | 6.66445 | 0.942496 | ||||||||
\(51\) | 0.519545 | + | 0.899879i | 0.0727509 | + | 0.126008i | ||||
\(52\) | 2.26198 | − | 3.91787i | 0.313680 | − | 0.543310i | ||||
\(53\) | −5.26714 | + | 9.12296i | −0.723498 | + | 1.25314i | 0.236091 | + | 0.971731i | \(0.424134\pi\) |
−0.959589 | + | 0.281404i | \(0.909200\pi\) | |||||||
\(54\) | 1.06105 | + | 1.83779i | 0.144390 | + | 0.250091i | ||||
\(55\) | −3.52739 | −0.475634 | ||||||||
\(56\) | 4.95688 | − | 2.04934i | 0.662391 | − | 0.273855i | ||||
\(57\) | 0.842811 | 0.111633 | ||||||||
\(58\) | −4.17246 | − | 7.22691i | −0.547871 | − | 0.948940i | ||||
\(59\) | −1.39180 | + | 2.41066i | −0.181196 | + | 0.313841i | −0.942288 | − | 0.334803i | \(-0.891330\pi\) |
0.761092 | + | 0.648644i | \(0.224664\pi\) | |||||||
\(60\) | 0.0841221 | − | 0.145704i | 0.0108601 | − | 0.0188103i | ||||
\(61\) | −1.60434 | − | 2.77881i | −0.205415 | − | 0.355790i | 0.744850 | − | 0.667232i | \(-0.232521\pi\) |
−0.950265 | + | 0.311443i | \(0.899188\pi\) | |||||||
\(62\) | −5.68341 | −0.721793 | ||||||||
\(63\) | 6.19816 | + | 4.76257i | 0.780894 | + | 0.600028i | ||||
\(64\) | 2.87689 | 0.359611 | ||||||||
\(65\) | 2.89026 | + | 5.00608i | 0.358493 | + | 0.620928i | ||||
\(66\) | 0.626476 | − | 1.08509i | 0.0771139 | − | 0.133565i | ||||
\(67\) | −3.67953 | + | 6.37313i | −0.449526 | + | 0.778602i | −0.998355 | − | 0.0573327i | \(-0.981740\pi\) |
0.548829 | + | 0.835935i | \(0.315074\pi\) | |||||||
\(68\) | −1.91040 | − | 3.30891i | −0.231670 | − | 0.401265i | ||||
\(69\) | −0.830138 | −0.0999369 | ||||||||
\(70\) | 0.581185 | − | 4.39194i | 0.0694649 | − | 0.524937i | ||||
\(71\) | −12.7360 | −1.51149 | −0.755745 | − | 0.654866i | \(-0.772725\pi\) | ||||
−0.755745 | + | 0.654866i | \(0.772725\pi\) | |||||||
\(72\) | 2.99477 | + | 5.18709i | 0.352937 | + | 0.611304i | ||||
\(73\) | 6.11743 | − | 10.5957i | 0.715992 | − | 1.24013i | −0.246584 | − | 0.969121i | \(-0.579308\pi\) |
0.962576 | − | 0.271012i | \(-0.0873585\pi\) | |||||||
\(74\) | 5.67537 | − | 9.83002i | 0.659748 | − | 1.14272i | ||||
\(75\) | −0.426383 | − | 0.738517i | −0.0492345 | − | 0.0852767i | ||||
\(76\) | −3.09907 | −0.355488 | ||||||||
\(77\) | 1.22024 | − | 9.22120i | 0.139059 | − | 1.05085i | ||||
\(78\) | −2.05328 | −0.232488 | ||||||||
\(79\) | 4.18907 | + | 7.25569i | 0.471308 | + | 0.816329i | 0.999461 | − | 0.0328201i | \(-0.0104488\pi\) |
−0.528154 | + | 0.849149i | \(0.677116\pi\) | |||||||
\(80\) | 2.48520 | − | 4.30449i | 0.277854 | − | 0.481257i | ||||
\(81\) | −4.29583 | + | 7.44059i | −0.477314 | + | 0.826732i | ||||
\(82\) | 0.834451 | + | 1.44531i | 0.0921497 | + | 0.159608i | ||||
\(83\) | −14.9762 | −1.64385 | −0.821923 | − | 0.569599i | \(-0.807099\pi\) | ||||
−0.821923 | + | 0.569599i | \(0.807099\pi\) | |||||||
\(84\) | 0.351793 | + | 0.270313i | 0.0383838 | + | 0.0294935i | ||||
\(85\) | 4.88206 | 0.529534 | ||||||||
\(86\) | 1.56430 | + | 2.70944i | 0.168683 | + | 0.292167i | ||||
\(87\) | −0.533897 | + | 0.924738i | −0.0572398 | + | 0.0991423i | ||||
\(88\) | 3.56371 | − | 6.17252i | 0.379893 | − | 0.657993i | ||||
\(89\) | −2.79096 | − | 4.83409i | −0.295842 | − | 0.512413i | 0.679339 | − | 0.733825i | \(-0.262267\pi\) |
−0.975180 | + | 0.221412i | \(0.928933\pi\) | |||||||
\(90\) | 4.94704 | 0.521464 | ||||||||
\(91\) | −14.0866 | + | 5.82386i | −1.47667 | + | 0.610507i | ||||
\(92\) | 3.05247 | 0.318242 | ||||||||
\(93\) | 0.363617 | + | 0.629803i | 0.0377053 | + | 0.0653076i | ||||
\(94\) | 4.93457 | − | 8.54692i | 0.508962 | − | 0.881548i | ||||
\(95\) | 1.97993 | − | 3.42934i | 0.203137 | − | 0.351843i | ||||
\(96\) | 0.449826 | + | 0.779121i | 0.0459101 | + | 0.0795187i | ||||
\(97\) | 18.3180 | 1.85991 | 0.929957 | − | 0.367668i | \(-0.119844\pi\) | ||||
0.929957 | + | 0.367668i | \(0.119844\pi\) | |||||||
\(98\) | 11.2802 | + | 3.03863i | 1.13947 | + | 0.306948i | ||||
\(99\) | 10.3867 | 1.04390 | ||||||||
\(100\) | 1.56784 | + | 2.71558i | 0.156784 | + | 0.271558i | ||||
\(101\) | 1.99815 | − | 3.46090i | 0.198824 | − | 0.344373i | −0.749324 | − | 0.662204i | \(-0.769621\pi\) |
0.948147 | + | 0.317831i | \(0.102955\pi\) | |||||||
\(102\) | −0.867070 | + | 1.50181i | −0.0858527 | + | 0.148701i | ||||
\(103\) | 1.48485 | + | 2.57183i | 0.146306 | + | 0.253410i | 0.929860 | − | 0.367915i | \(-0.119928\pi\) |
−0.783553 | + | 0.621325i | \(0.786595\pi\) | |||||||
\(104\) | −11.6801 | −1.14533 | ||||||||
\(105\) | −0.523874 | + | 0.216587i | −0.0511248 | + | 0.0211367i | ||||
\(106\) | −17.5807 | −1.70759 | ||||||||
\(107\) | −5.85331 | − | 10.1382i | −0.565861 | − | 0.980100i | −0.996969 | − | 0.0777998i | \(-0.975211\pi\) |
0.431108 | − | 0.902300i | \(-0.358123\pi\) | |||||||
\(108\) | −0.499231 | + | 0.864694i | −0.0480385 | + | 0.0832052i | ||||
\(109\) | −7.27889 | + | 12.6074i | −0.697191 | + | 1.20757i | 0.272246 | + | 0.962228i | \(0.412234\pi\) |
−0.969437 | + | 0.245342i | \(0.921100\pi\) | |||||||
\(110\) | −2.94344 | − | 5.09818i | −0.280646 | − | 0.486093i | ||||
\(111\) | −1.45241 | −0.137857 | ||||||||
\(112\) | 10.3929 | + | 7.98579i | 0.982041 | + | 0.754586i | ||||
\(113\) | 10.1579 | 0.955576 | 0.477788 | − | 0.878475i | \(-0.341439\pi\) | ||||
0.477788 | + | 0.878475i | \(0.341439\pi\) | |||||||
\(114\) | 0.703284 | + | 1.21812i | 0.0658686 | + | 0.114088i | ||||
\(115\) | −1.95016 | + | 3.37778i | −0.181853 | + | 0.314979i | ||||
\(116\) | 1.96318 | − | 3.40032i | 0.182276 | − | 0.315712i | ||||
\(117\) | −8.51060 | − | 14.7408i | −0.786805 | − | 1.36279i | ||||
\(118\) | −4.64554 | −0.427657 | ||||||||
\(119\) | −1.68887 | + | 12.7625i | −0.154818 | + | 1.16994i | ||||
\(120\) | −0.434377 | −0.0396530 | ||||||||
\(121\) | −0.679961 | − | 1.17773i | −0.0618146 | − | 0.107066i | ||||
\(122\) | 2.67749 | − | 4.63755i | 0.242409 | − | 0.419864i | ||||
\(123\) | 0.106774 | − | 0.184938i | 0.00962750 | − | 0.0166753i | ||||
\(124\) | −1.33704 | − | 2.31583i | −0.120070 | − | 0.207967i | ||||
\(125\) | −9.02332 | −0.807070 | ||||||||
\(126\) | −1.71134 | + | 12.9324i | −0.152459 | + | 1.15211i | ||||
\(127\) | 12.0850 | 1.07237 | 0.536186 | − | 0.844100i | \(-0.319865\pi\) | ||||
0.536186 | + | 0.844100i | \(0.319865\pi\) | |||||||
\(128\) | 6.61349 | + | 11.4549i | 0.584555 | + | 1.01248i | ||||
\(129\) | 0.200164 | − | 0.346694i | 0.0176234 | − | 0.0305247i | ||||
\(130\) | −4.82357 | + | 8.35466i | −0.423055 | + | 0.732752i | ||||
\(131\) | 4.30481 | + | 7.45614i | 0.376113 | + | 0.651446i | 0.990493 | − | 0.137564i | \(-0.0439272\pi\) |
−0.614380 | + | 0.789010i | \(0.710594\pi\) | |||||||
\(132\) | 0.589524 | 0.0513115 | ||||||||
\(133\) | 8.27994 | + | 6.36219i | 0.717962 | + | 0.551672i | ||||
\(134\) | −12.2815 | −1.06096 | ||||||||
\(135\) | −0.637897 | − | 1.10487i | −0.0549014 | − | 0.0950920i | ||||
\(136\) | −4.93232 | + | 8.54303i | −0.422943 | + | 0.732559i | ||||
\(137\) | 0.0862307 | − | 0.149356i | 0.00736718 | − | 0.0127603i | −0.862318 | − | 0.506367i | \(-0.830988\pi\) |
0.869685 | + | 0.493606i | \(0.164322\pi\) | |||||||
\(138\) | −0.692709 | − | 1.19981i | −0.0589673 | − | 0.102134i | ||||
\(139\) | 8.79715 | 0.746164 | 0.373082 | − | 0.927798i | \(-0.378301\pi\) | ||||
0.373082 | + | 0.927798i | \(0.378301\pi\) | |||||||
\(140\) | 1.92632 | − | 0.796404i | 0.162804 | − | 0.0673084i | ||||
\(141\) | −1.26283 | −0.106349 | ||||||||
\(142\) | −10.6276 | − | 18.4075i | −0.891848 | − | 1.54473i | ||||
\(143\) | −10.1274 | + | 17.5412i | −0.846898 | + | 1.46687i | ||||
\(144\) | −7.31786 | + | 12.6749i | −0.609821 | + | 1.05624i | ||||
\(145\) | 2.50846 | + | 4.34479i | 0.208317 | + | 0.360815i | ||||
\(146\) | 20.4188 | 1.68987 | ||||||||
\(147\) | −0.384969 | − | 1.44442i | −0.0317517 | − | 0.119134i | ||||
\(148\) | 5.34061 | 0.438995 | ||||||||
\(149\) | −0.343506 | − | 0.594969i | −0.0281411 | − | 0.0487418i | 0.851612 | − | 0.524173i | \(-0.175625\pi\) |
−0.879753 | + | 0.475431i | \(0.842292\pi\) | |||||||
\(150\) | 0.711592 | − | 1.23251i | 0.0581012 | − | 0.100634i | ||||
\(151\) | −4.45320 | + | 7.71317i | −0.362396 | + | 0.627689i | −0.988355 | − | 0.152168i | \(-0.951375\pi\) |
0.625958 | + | 0.779856i | \(0.284708\pi\) | |||||||
\(152\) | 4.00063 | + | 6.92929i | 0.324494 | + | 0.562039i | ||||
\(153\) | −14.3756 | −1.16220 | ||||||||
\(154\) | 14.3457 | − | 5.93100i | 1.15601 | − | 0.477934i | ||||
\(155\) | 3.41684 | 0.274447 | ||||||||
\(156\) | −0.483042 | − | 0.836654i | −0.0386743 | − | 0.0669859i | ||||
\(157\) | 7.95246 | − | 13.7741i | 0.634676 | − | 1.09929i | −0.351908 | − | 0.936035i | \(-0.614467\pi\) |
0.986584 | − | 0.163256i | \(-0.0521997\pi\) | |||||||
\(158\) | −6.99115 | + | 12.1090i | −0.556186 | + | 0.963342i | ||||
\(159\) | 1.12479 | + | 1.94819i | 0.0892017 | + | 0.154502i | ||||
\(160\) | 4.22692 | 0.334167 | ||||||||
\(161\) | −8.15545 | − | 6.26653i | −0.642739 | − | 0.493872i | ||||
\(162\) | −14.3386 | −1.12655 | ||||||||
\(163\) | −10.1276 | − | 17.5415i | −0.793254 | − | 1.37396i | −0.923942 | − | 0.382533i | \(-0.875052\pi\) |
0.130687 | − | 0.991424i | \(-0.458282\pi\) | |||||||
\(164\) | −0.392616 | + | 0.680030i | −0.0306581 | + | 0.0531014i | ||||
\(165\) | −0.376635 | + | 0.652351i | −0.0293210 | + | 0.0507854i | ||||
\(166\) | −12.4969 | − | 21.6452i | −0.969944 | − | 1.67999i | ||||
\(167\) | 16.9622 | 1.31258 | 0.656288 | − | 0.754511i | \(-0.272126\pi\) | ||||
0.656288 | + | 0.754511i | \(0.272126\pi\) | |||||||
\(168\) | 0.150265 | − | 1.13553i | 0.0115932 | − | 0.0876083i | ||||
\(169\) | 20.1927 | 1.55329 | ||||||||
\(170\) | 4.07384 | + | 7.05610i | 0.312449 | + | 0.541178i | ||||
\(171\) | −5.83005 | + | 10.0980i | −0.445835 | + | 0.772210i | ||||
\(172\) | −0.736015 | + | 1.27482i | −0.0561206 | + | 0.0972037i | ||||
\(173\) | 6.93416 | + | 12.0103i | 0.527195 | + | 0.913128i | 0.999498 | + | 0.0316916i | \(0.0100895\pi\) |
−0.472303 | + | 0.881436i | \(0.656577\pi\) | |||||||
\(174\) | −1.78204 | −0.135096 | ||||||||
\(175\) | 1.38603 | − | 10.4740i | 0.104774 | − | 0.791761i | ||||
\(176\) | 17.4162 | 1.31279 | ||||||||
\(177\) | 0.297216 | + | 0.514793i | 0.0223401 | + | 0.0386942i | ||||
\(178\) | 4.65784 | − | 8.06762i | 0.349120 | − | 0.604694i | ||||
\(179\) | −6.15100 | + | 10.6538i | −0.459747 | + | 0.796306i | −0.998947 | − | 0.0458720i | \(-0.985393\pi\) |
0.539200 | + | 0.842178i | \(0.318727\pi\) | |||||||
\(180\) | 1.16381 | + | 2.01578i | 0.0867454 | + | 0.150247i | ||||
\(181\) | −1.79830 | −0.133666 | −0.0668332 | − | 0.997764i | \(-0.521290\pi\) | ||||
−0.0668332 | + | 0.997764i | \(0.521290\pi\) | |||||||
\(182\) | −20.1718 | − | 15.4998i | −1.49524 | − | 1.14892i | ||||
\(183\) | −0.685210 | −0.0506522 | ||||||||
\(184\) | −3.94047 | − | 6.82510i | −0.290496 | − | 0.503153i | ||||
\(185\) | −3.41200 | + | 5.90976i | −0.250855 | + | 0.434494i | ||||
\(186\) | −0.606841 | + | 1.05108i | −0.0444958 | + | 0.0770689i | ||||
\(187\) | 8.55333 | + | 14.8148i | 0.625481 | + | 1.08337i | ||||
\(188\) | 4.64351 | 0.338662 | ||||||||
\(189\) | 3.10898 | − | 1.28536i | 0.226145 | − | 0.0934960i | ||||
\(190\) | 6.60862 | 0.479439 | ||||||||
\(191\) | 1.08278 | + | 1.87543i | 0.0783472 | + | 0.135701i | 0.902537 | − | 0.430612i | \(-0.141702\pi\) |
−0.824190 | + | 0.566314i | \(0.808369\pi\) | |||||||
\(192\) | 0.307177 | − | 0.532047i | 0.0221686 | − | 0.0383972i | ||||
\(193\) | −3.51757 | + | 6.09260i | −0.253200 | + | 0.438555i | −0.964405 | − | 0.264429i | \(-0.914816\pi\) |
0.711205 | + | 0.702985i | \(0.248150\pi\) | |||||||
\(194\) | 15.2855 | + | 26.4753i | 1.09743 | + | 1.90081i | ||||
\(195\) | 1.23442 | 0.0883988 | ||||||||
\(196\) | 1.41556 | + | 5.31122i | 0.101111 | + | 0.379373i | ||||
\(197\) | −9.47409 | −0.675001 | −0.337500 | − | 0.941325i | \(-0.609581\pi\) | ||||
−0.337500 | + | 0.941325i | \(0.609581\pi\) | |||||||
\(198\) | 8.66717 | + | 15.0120i | 0.615949 | + | 1.06685i | ||||
\(199\) | −1.77877 | + | 3.08091i | −0.126093 | + | 0.218400i | −0.922160 | − | 0.386809i | \(-0.873577\pi\) |
0.796066 | + | 0.605209i | \(0.206911\pi\) | |||||||
\(200\) | 4.04788 | − | 7.01114i | 0.286229 | − | 0.495763i | ||||
\(201\) | 0.785757 | + | 1.36097i | 0.0554231 | + | 0.0959955i | ||||
\(202\) | 6.66944 | 0.469260 | ||||||||
\(203\) | −12.2258 | + | 5.05454i | −0.858080 | + | 0.354759i | ||||
\(204\) | −0.815927 | −0.0571263 | ||||||||
\(205\) | −0.501668 | − | 0.868914i | −0.0350380 | − | 0.0606876i | ||||
\(206\) | −2.47806 | + | 4.29213i | −0.172655 | + | 0.299047i | ||||
\(207\) | 5.74239 | − | 9.94612i | 0.399124 | − | 0.691303i | ||||
\(208\) | −14.2704 | − | 24.7171i | −0.989475 | − | 1.71382i | ||||
\(209\) | 13.8753 | 0.959773 | ||||||||
\(210\) | −0.750182 | − | 0.576429i | −0.0517675 | − | 0.0397774i | ||||
\(211\) | 21.6699 | 1.49182 | 0.745908 | − | 0.666049i | \(-0.232016\pi\) | ||||
0.745908 | + | 0.666049i | \(0.232016\pi\) | |||||||
\(212\) | −4.13593 | − | 7.16363i | −0.284057 | − | 0.492000i | ||||
\(213\) | −1.35988 | + | 2.35538i | −0.0931775 | + | 0.161388i | ||||
\(214\) | 9.76860 | − | 16.9197i | 0.667768 | − | 1.15661i | ||||
\(215\) | −0.940449 | − | 1.62891i | −0.0641381 | − | 0.111090i | ||||
\(216\) | 2.57785 | 0.175401 | ||||||||
\(217\) | −1.18200 | + | 8.93218i | −0.0802391 | + | 0.606356i | ||||
\(218\) | −24.2955 | −1.64550 | ||||||||
\(219\) | −1.30637 | − | 2.26270i | −0.0882762 | − | 0.152899i | ||||
\(220\) | 1.38491 | − | 2.39873i | 0.0933706 | − | 0.161723i | ||||
\(221\) | 14.0168 | − | 24.2778i | 0.942871 | − | 1.63310i | ||||
\(222\) | −1.21197 | − | 2.09919i | −0.0813418 | − | 0.140888i | ||||
\(223\) | 8.57235 | 0.574047 | 0.287023 | − | 0.957924i | \(-0.407334\pi\) | ||||
0.287023 | + | 0.957924i | \(0.407334\pi\) | |||||||
\(224\) | −1.46223 | + | 11.0499i | −0.0976994 | + | 0.738301i | ||||
\(225\) | 11.7978 | 0.786523 | ||||||||
\(226\) | 8.47628 | + | 14.6813i | 0.563834 | + | 0.976589i | ||||
\(227\) | 6.28343 | − | 10.8832i | 0.417046 | − | 0.722345i | −0.578595 | − | 0.815615i | \(-0.696399\pi\) |
0.995641 | + | 0.0932701i | \(0.0297320\pi\) | |||||||
\(228\) | −0.330901 | + | 0.573137i | −0.0219144 | + | 0.0379569i | ||||
\(229\) | −9.90998 | − | 17.1646i | −0.654870 | − | 1.13427i | −0.981926 | − | 0.189263i | \(-0.939390\pi\) |
0.327057 | − | 0.945005i | \(-0.393943\pi\) | |||||||
\(230\) | −6.50925 | −0.429207 | ||||||||
\(231\) | −1.57506 | − | 1.21026i | −0.103631 | − | 0.0796289i | ||||
\(232\) | −10.1371 | −0.665536 | ||||||||
\(233\) | −12.3302 | − | 21.3565i | −0.807776 | − | 1.39911i | −0.914401 | − | 0.404809i | \(-0.867338\pi\) |
0.106625 | − | 0.994299i | \(-0.465995\pi\) | |||||||
\(234\) | 14.2034 | − | 24.6009i | 0.928502 | − | 1.60821i | ||||
\(235\) | −2.96664 | + | 5.13837i | −0.193522 | + | 0.335190i | ||||
\(236\) | −1.09288 | − | 1.89293i | −0.0711405 | − | 0.123219i | ||||
\(237\) | 1.78914 | 0.116217 | ||||||||
\(238\) | −19.8551 | + | 8.20876i | −1.28701 | + | 0.532095i | ||||
\(239\) | 22.9924 | 1.48726 | 0.743629 | − | 0.668593i | \(-0.233103\pi\) | ||||
0.743629 | + | 0.668593i | \(0.233103\pi\) | |||||||
\(240\) | −0.530710 | − | 0.919217i | −0.0342572 | − | 0.0593352i | ||||
\(241\) | 8.59097 | − | 14.8800i | 0.553393 | − | 0.958504i | −0.444634 | − | 0.895712i | \(-0.646666\pi\) |
0.998027 | − | 0.0627919i | \(-0.0200004\pi\) | |||||||
\(242\) | 1.13479 | − | 1.96551i | 0.0729469 | − | 0.126348i | ||||
\(243\) | 2.82469 | + | 4.89251i | 0.181204 | + | 0.313855i | ||||
\(244\) | 2.51956 | 0.161298 | ||||||||
\(245\) | −6.78161 | − | 1.82681i | −0.433261 | − | 0.116711i | ||||
\(246\) | 0.356391 | 0.0227227 | ||||||||
\(247\) | −11.3691 | − | 19.6918i | −0.723397 | − | 1.25296i | ||||
\(248\) | −3.45201 | + | 5.97906i | −0.219203 | + | 0.379671i | ||||
\(249\) | −1.59907 | + | 2.76966i | −0.101337 | + | 0.175520i | ||||
\(250\) | −7.52951 | − | 13.0415i | −0.476208 | − | 0.824817i | ||||
\(251\) | 23.4755 | 1.48176 | 0.740879 | − | 0.671638i | \(-0.234409\pi\) | ||||
0.740879 | + | 0.671638i | \(0.234409\pi\) | |||||||
\(252\) | −5.67219 | + | 2.34507i | −0.357314 | + | 0.147726i | ||||
\(253\) | −13.6666 | −0.859215 | ||||||||
\(254\) | 10.0843 | + | 17.4666i | 0.632748 | + | 1.09595i | ||||
\(255\) | 0.521278 | − | 0.902881i | 0.0326437 | − | 0.0565406i | ||||
\(256\) | −8.16037 | + | 14.1342i | −0.510023 | + | 0.883386i | ||||
\(257\) | 6.95657 | + | 12.0491i | 0.433939 | + | 0.751604i | 0.997208 | − | 0.0746689i | \(-0.0237900\pi\) |
−0.563269 | + | 0.826273i | \(0.690457\pi\) | |||||||
\(258\) | 0.668107 | 0.0415945 | ||||||||
\(259\) | −14.2688 | − | 10.9639i | −0.886619 | − | 0.681265i | ||||
\(260\) | −4.53905 | −0.281500 | ||||||||
\(261\) | −7.38636 | − | 12.7935i | −0.457204 | − | 0.791901i | ||||
\(262\) | −7.18430 | + | 12.4436i | −0.443847 | + | 0.768766i | ||||
\(263\) | −10.6662 | + | 18.4745i | −0.657709 | + | 1.13918i | 0.323499 | + | 0.946229i | \(0.395141\pi\) |
−0.981207 | + | 0.192956i | \(0.938192\pi\) | |||||||
\(264\) | −0.761024 | − | 1.31813i | −0.0468378 | − | 0.0811254i | ||||
\(265\) | 10.5694 | 0.649275 | ||||||||
\(266\) | −2.28614 | + | 17.2760i | −0.140172 | + | 1.05926i | ||||
\(267\) | −1.19201 | −0.0729499 | ||||||||
\(268\) | −2.88928 | − | 5.00438i | −0.176491 | − | 0.305691i | ||||
\(269\) | 13.6361 | − | 23.6184i | 0.831406 | − | 1.44004i | −0.0655176 | − | 0.997851i | \(-0.520870\pi\) |
0.896923 | − | 0.442186i | \(-0.145797\pi\) | |||||||
\(270\) | 1.06459 | − | 1.84392i | 0.0647887 | − | 0.112217i | ||||
\(271\) | 12.1631 | + | 21.0671i | 0.738854 | + | 1.27973i | 0.953012 | + | 0.302933i | \(0.0979660\pi\) |
−0.214158 | + | 0.976799i | \(0.568701\pi\) | |||||||
\(272\) | −24.1047 | −1.46156 | ||||||||
\(273\) | −0.427027 | + | 3.22699i | −0.0258449 | + | 0.195306i | ||||
\(274\) | 0.287821 | 0.0173879 | ||||||||
\(275\) | −7.01959 | − | 12.1583i | −0.423297 | − | 0.733172i | ||||
\(276\) | 0.325925 | − | 0.564519i | 0.0196184 | − | 0.0339801i | ||||
\(277\) | 0.610732 | − | 1.05782i | 0.0366953 | − | 0.0635581i | −0.847094 | − | 0.531442i | \(-0.821650\pi\) |
0.883790 | + | 0.467884i | \(0.154984\pi\) | |||||||
\(278\) | 7.34078 | + | 12.7146i | 0.440271 | + | 0.762572i | ||||
\(279\) | −10.0611 | −0.602344 | ||||||||
\(280\) | −4.26741 | − | 3.27901i | −0.255026 | − | 0.195959i | ||||
\(281\) | −16.7952 | −1.00192 | −0.500960 | − | 0.865470i | \(-0.667020\pi\) | ||||
−0.500960 | + | 0.865470i | \(0.667020\pi\) | |||||||
\(282\) | −1.05377 | − | 1.82518i | −0.0627510 | − | 0.108688i | ||||
\(283\) | −1.36928 | + | 2.37166i | −0.0813953 | + | 0.140981i | −0.903850 | − | 0.427851i | \(-0.859271\pi\) |
0.822454 | + | 0.568831i | \(0.192604\pi\) | |||||||
\(284\) | 5.00037 | − | 8.66089i | 0.296717 | − | 0.513929i | ||||
\(285\) | −0.422811 | − | 0.732330i | −0.0250452 | − | 0.0433795i | ||||
\(286\) | −33.8034 | −1.99883 | ||||||||
\(287\) | 2.44503 | − | 1.01086i | 0.144326 | − | 0.0596690i | ||||
\(288\) | −12.4465 | −0.733416 | ||||||||
\(289\) | −3.33817 | − | 5.78188i | −0.196363 | − | 0.340111i | ||||
\(290\) | −4.18638 | + | 7.25102i | −0.245833 | + | 0.425795i | ||||
\(291\) | 1.95589 | − | 3.38771i | 0.114657 | − | 0.198591i | ||||
\(292\) | 4.80360 | + | 8.32008i | 0.281109 | + | 0.486896i | ||||
\(293\) | 7.34300 | 0.428983 | 0.214491 | − | 0.976726i | \(-0.431191\pi\) | ||||
0.214491 | + | 0.976726i | \(0.431191\pi\) | |||||||
\(294\) | 1.76639 | − | 1.76170i | 0.103018 | − | 0.102744i | ||||
\(295\) | 2.79288 | 0.162608 | ||||||||
\(296\) | −6.89426 | − | 11.9412i | −0.400721 | − | 0.694068i | ||||
\(297\) | 2.23518 | − | 3.87144i | 0.129698 | − | 0.224644i | ||||
\(298\) | 0.573277 | − | 0.992945i | 0.0332090 | − | 0.0575198i | ||||
\(299\) | 11.1981 | + | 19.3957i | 0.647605 | + | 1.12168i | ||||
\(300\) | 0.669619 | 0.0386605 | ||||||||
\(301\) | 4.58356 | − | 1.89500i | 0.264192 | − | 0.109226i | ||||
\(302\) | −14.8639 | −0.855321 | ||||||||
\(303\) | −0.426702 | − | 0.739070i | −0.0245134 | − | 0.0424585i | ||||
\(304\) | −9.77572 | + | 16.9320i | −0.560676 | + | 0.971119i | ||||
\(305\) | −1.60970 | + | 2.78808i | −0.0921709 | + | 0.159645i | ||||
\(306\) | −11.9957 | − | 20.7772i | −0.685750 | − | 1.18775i | ||||
\(307\) | −30.3452 | −1.73189 | −0.865945 | − | 0.500139i | \(-0.833282\pi\) | ||||
−0.865945 | + | 0.500139i | \(0.833282\pi\) | |||||||
\(308\) | 5.79161 | + | 4.45019i | 0.330007 | + | 0.253573i | ||||
\(309\) | 0.634173 | 0.0360768 | ||||||||
\(310\) | 2.85118 | + | 4.93839i | 0.161936 | + | 0.280482i | ||||
\(311\) | −3.46143 | + | 5.99537i | −0.196280 | + | 0.339967i | −0.947319 | − | 0.320291i | \(-0.896219\pi\) |
0.751040 | + | 0.660257i | \(0.229553\pi\) | |||||||
\(312\) | −1.24713 | + | 2.16009i | −0.0706049 | + | 0.122291i | ||||
\(313\) | −15.3777 | − | 26.6350i | −0.869201 | − | 1.50550i | −0.862814 | − | 0.505521i | \(-0.831300\pi\) |
−0.00638714 | − | 0.999980i | \(-0.502033\pi\) | |||||||
\(314\) | 26.5438 | 1.49795 | ||||||||
\(315\) | 1.02885 | − | 7.77489i | 0.0579693 | − | 0.438066i | ||||
\(316\) | −6.57878 | −0.370085 | ||||||||
\(317\) | −1.45302 | − | 2.51670i | −0.0816096 | − | 0.141352i | 0.822332 | − | 0.569008i | \(-0.192673\pi\) |
−0.903941 | + | 0.427656i | \(0.859339\pi\) | |||||||
\(318\) | −1.87716 | + | 3.25134i | −0.105266 | + | 0.182326i | ||||
\(319\) | −8.78961 | + | 15.2240i | −0.492123 | + | 0.852383i | ||||
\(320\) | −1.44324 | − | 2.49977i | −0.0806797 | − | 0.139741i | ||||
\(321\) | −2.49993 | −0.139533 | ||||||||
\(322\) | 2.25176 | − | 17.0163i | 0.125486 | − | 0.948279i | ||||
\(323\) | −19.2040 | −1.06854 | ||||||||
\(324\) | −3.37322 | − | 5.84258i | −0.187401 | − | 0.324588i | ||||
\(325\) | −11.5034 | + | 19.9244i | −0.638092 | + | 1.10521i | ||||
\(326\) | 16.9020 | − | 29.2750i | 0.936113 | − | 1.62139i | ||||
\(327\) | 1.55439 | + | 2.69229i | 0.0859582 | + | 0.148884i | ||||
\(328\) | 2.02733 | 0.111941 | ||||||||
\(329\) | −12.4063 | − | 9.53282i | −0.683981 | − | 0.525561i | ||||
\(330\) | −1.25713 | −0.0692029 | ||||||||
\(331\) | −2.32737 | − | 4.03113i | −0.127924 | − | 0.221571i | 0.794948 | − | 0.606677i | \(-0.207498\pi\) |
−0.922872 | + | 0.385106i | \(0.874165\pi\) | |||||||
\(332\) | 5.87987 | − | 10.1842i | 0.322700 | − | 0.558932i | ||||
\(333\) | 10.0469 | − | 17.4017i | 0.550567 | − | 0.953609i | ||||
\(334\) | 14.1541 | + | 24.5157i | 0.774479 | + | 1.34144i | ||||
\(335\) | 7.38360 | 0.403409 | ||||||||
\(336\) | 2.58658 | − | 1.06938i | 0.141109 | − | 0.0583393i | ||||
\(337\) | 23.8266 | 1.29792 | 0.648960 | − | 0.760823i | \(-0.275204\pi\) | ||||
0.648960 | + | 0.760823i | \(0.275204\pi\) | |||||||
\(338\) | 16.8498 | + | 29.1847i | 0.916509 | + | 1.58744i | ||||
\(339\) | 1.08460 | − | 1.87859i | 0.0589076 | − | 0.102031i | ||||
\(340\) | −1.91677 | + | 3.31995i | −0.103952 | + | 0.180050i | ||||
\(341\) | 5.98627 | + | 10.3685i | 0.324174 | + | 0.561487i | ||||
\(342\) | −19.4596 | −1.05225 | ||||||||
\(343\) | 7.12157 | − | 17.0963i | 0.384528 | − | 0.923113i | ||||
\(344\) | 3.80052 | 0.204910 | ||||||||
\(345\) | 0.416454 | + | 0.721319i | 0.0224211 | + | 0.0388345i | ||||
\(346\) | −11.5724 | + | 20.0440i | −0.622138 | + | 1.07757i | ||||
\(347\) | 8.58994 | − | 14.8782i | 0.461132 | − | 0.798704i | −0.537885 | − | 0.843018i | \(-0.680777\pi\) |
0.999018 | + | 0.0443135i | \(0.0141100\pi\) | |||||||
\(348\) | −0.419233 | − | 0.726133i | −0.0224732 | − | 0.0389248i | ||||
\(349\) | 10.7991 | 0.578063 | 0.289031 | − | 0.957320i | \(-0.406667\pi\) | ||||
0.289031 | + | 0.957320i | \(0.406667\pi\) | |||||||
\(350\) | 16.2948 | − | 6.73681i | 0.870993 | − | 0.360098i | ||||
\(351\) | −7.32581 | −0.391023 | ||||||||
\(352\) | 7.40552 | + | 12.8267i | 0.394716 | + | 0.683668i | ||||
\(353\) | −2.10949 | + | 3.65374i | −0.112277 | + | 0.194469i | −0.916688 | − | 0.399604i | \(-0.869148\pi\) |
0.804411 | + | 0.594073i | \(0.202481\pi\) | |||||||
\(354\) | −0.496024 | + | 0.859138i | −0.0263634 | + | 0.0456627i | ||||
\(355\) | 6.38926 | + | 11.0665i | 0.339107 | + | 0.587350i | ||||
\(356\) | 4.38310 | 0.232304 | ||||||||
\(357\) | 2.17995 | + | 1.67504i | 0.115375 | + | 0.0886528i | ||||
\(358\) | −20.5308 | −1.08509 | ||||||||
\(359\) | −0.977388 | − | 1.69289i | −0.0515846 | − | 0.0893471i | 0.839080 | − | 0.544008i | \(-0.183094\pi\) |
−0.890665 | + | 0.454661i | \(0.849761\pi\) | |||||||
\(360\) | 3.00476 | − | 5.20439i | 0.158365 | − | 0.274296i | ||||
\(361\) | 1.71179 | − | 2.96491i | 0.0900944 | − | 0.156048i | ||||
\(362\) | −1.50059 | − | 2.59910i | −0.0788693 | − | 0.136606i | ||||
\(363\) | −0.290409 | −0.0152425 | ||||||||
\(364\) | 1.57021 | − | 11.8658i | 0.0823012 | − | 0.621939i | ||||
\(365\) | −12.2757 | −0.642538 | ||||||||
\(366\) | −0.571774 | − | 0.990342i | −0.0298871 | − | 0.0517660i | ||||
\(367\) | −1.07134 | + | 1.85561i | −0.0559233 | + | 0.0968619i | −0.892632 | − | 0.450787i | \(-0.851144\pi\) |
0.836709 | + | 0.547648i | \(0.184477\pi\) | |||||||
\(368\) | 9.62873 | − | 16.6775i | 0.501932 | − | 0.869372i | ||||
\(369\) | 1.47720 | + | 2.55858i | 0.0768999 | + | 0.133195i | ||||
\(370\) | −11.3886 | −0.592065 | ||||||||
\(371\) | −3.65631 | + | 27.6302i | −0.189826 | + | 1.43449i | ||||
\(372\) | −0.571047 | −0.0296074 | ||||||||
\(373\) | 4.49415 | + | 7.78410i | 0.232698 | + | 0.403046i | 0.958601 | − | 0.284752i | \(-0.0919112\pi\) |
−0.725903 | + | 0.687797i | \(0.758578\pi\) | |||||||
\(374\) | −14.2747 | + | 24.7244i | −0.738125 | + | 1.27847i | ||||
\(375\) | −0.963457 | + | 1.66876i | −0.0497527 | + | 0.0861742i | ||||
\(376\) | −5.99436 | − | 10.3825i | −0.309135 | − | 0.535438i | ||||
\(377\) | 28.8080 | 1.48369 | ||||||||
\(378\) | 4.45203 | + | 3.42088i | 0.228988 | + | 0.175951i | ||||
\(379\) | 25.3654 | 1.30293 | 0.651467 | − | 0.758677i | \(-0.274154\pi\) | ||||
0.651467 | + | 0.758677i | \(0.274154\pi\) | |||||||
\(380\) | 1.55470 | + | 2.69283i | 0.0797546 | + | 0.138139i | ||||
\(381\) | 1.29037 | − | 2.23498i | 0.0661075 | − | 0.114502i | ||||
\(382\) | −1.80705 | + | 3.12991i | −0.0924569 | + | 0.160140i | ||||
\(383\) | −12.2791 | − | 21.2680i | −0.627432 | − | 1.08674i | −0.988065 | − | 0.154036i | \(-0.950773\pi\) |
0.360633 | − | 0.932708i | \(-0.382561\pi\) | |||||||
\(384\) | 2.82460 | 0.144142 | ||||||||
\(385\) | −8.62458 | + | 3.56569i | −0.439549 | + | 0.181725i | ||||
\(386\) | −11.7409 | −0.597598 | ||||||||
\(387\) | 2.76922 | + | 4.79644i | 0.140768 | + | 0.243816i | ||||
\(388\) | −7.19195 | + | 12.4568i | −0.365116 | + | 0.632399i | ||||
\(389\) | 11.6636 | − | 20.2019i | 0.591368 | − | 1.02428i | −0.402681 | − | 0.915341i | \(-0.631921\pi\) |
0.994048 | − | 0.108939i | \(-0.0347452\pi\) | |||||||
\(390\) | 1.03006 | + | 1.78412i | 0.0521594 | + | 0.0903427i | ||||
\(391\) | 18.9152 | 0.956584 | ||||||||
\(392\) | 10.0481 | − | 10.0214i | 0.507507 | − | 0.506157i | ||||
\(393\) | 1.83857 | 0.0927435 | ||||||||
\(394\) | −7.90566 | − | 13.6930i | −0.398281 | − | 0.689843i | ||||
\(395\) | 4.20305 | − | 7.27989i | 0.211478 | − | 0.366291i | ||||
\(396\) | −4.07797 | + | 7.06325i | −0.204926 | + | 0.354942i | ||||
\(397\) | 8.94086 | + | 15.4860i | 0.448729 | + | 0.777221i | 0.998304 | − | 0.0582232i | \(-0.0185435\pi\) |
−0.549575 | + | 0.835445i | \(0.685210\pi\) | |||||||
\(398\) | −5.93717 | −0.297604 | ||||||||
\(399\) | 2.06070 | − | 0.851961i | 0.103164 | − | 0.0426514i | ||||
\(400\) | 19.7824 | 0.989120 | ||||||||
\(401\) | 10.9423 | + | 18.9526i | 0.546433 | + | 0.946449i | 0.998515 | + | 0.0544730i | \(0.0173479\pi\) |
−0.452083 | + | 0.891976i | \(0.649319\pi\) | |||||||
\(402\) | −1.31135 | + | 2.27133i | −0.0654043 | + | 0.113284i | ||||
\(403\) | 9.81001 | − | 16.9914i | 0.488671 | − | 0.846404i | ||||
\(404\) | 1.56901 | + | 2.71761i | 0.0780612 | + | 0.135206i | ||||
\(405\) | 8.62031 | 0.428347 | ||||||||
\(406\) | −17.5072 | − | 13.4523i | −0.868866 | − | 0.667624i | ||||
\(407\) | −23.9112 | −1.18523 | ||||||||
\(408\) | 1.05329 | + | 1.82435i | 0.0521456 | + | 0.0903188i | ||||
\(409\) | −8.75032 | + | 15.1560i | −0.432675 | + | 0.749416i | −0.997103 | − | 0.0760671i | \(-0.975764\pi\) |
0.564427 | + | 0.825483i | \(0.309097\pi\) | |||||||
\(410\) | 0.837234 | − | 1.45013i | 0.0413480 | − | 0.0716169i | ||||
\(411\) | −0.0184144 | − | 0.0318947i | −0.000908316 | − | 0.00157325i | ||||
\(412\) | −2.33190 | −0.114884 | ||||||||
\(413\) | −0.966147 | + | 7.30104i | −0.0475410 | + | 0.359261i | ||||
\(414\) | 19.1670 | 0.942006 | ||||||||
\(415\) | 7.51305 | + | 13.0130i | 0.368801 | + | 0.638782i | ||||
\(416\) | 12.1358 | − | 21.0199i | 0.595008 | − | 1.03058i | ||||
\(417\) | 0.939308 | − | 1.62693i | 0.0459981 | − | 0.0796711i | ||||
\(418\) | 11.5782 | + | 20.0541i | 0.566310 | + | 0.980877i | ||||
\(419\) | 7.23185 | 0.353299 | 0.176649 | − | 0.984274i | \(-0.443474\pi\) | ||||
0.176649 | + | 0.984274i | \(0.443474\pi\) | |||||||
\(420\) | 0.0583953 | − | 0.441285i | 0.00284940 | − | 0.0215325i | ||||
\(421\) | 3.50247 | 0.170700 | 0.0853500 | − | 0.996351i | \(-0.472799\pi\) | ||||
0.0853500 | + | 0.996351i | \(0.472799\pi\) | |||||||
\(422\) | 18.0824 | + | 31.3197i | 0.880240 | + | 1.52462i | ||||
\(423\) | 8.73549 | − | 15.1303i | 0.424734 | − | 0.735661i | ||||
\(424\) | −10.6782 | + | 18.4952i | −0.518581 | + | 0.898209i | ||||
\(425\) | 9.71541 | + | 16.8276i | 0.471267 | + | 0.816258i | ||||
\(426\) | −4.53901 | −0.219916 | ||||||||
\(427\) | −6.73164 | − | 5.17250i | −0.325767 | − | 0.250315i | ||||
\(428\) | 9.19241 | 0.444332 | ||||||||
\(429\) | 2.16270 | + | 3.74590i | 0.104416 | + | 0.180854i | ||||
\(430\) | 1.56952 | − | 2.71848i | 0.0756888 | − | 0.131097i | ||||
\(431\) | −5.52640 | + | 9.57201i | −0.266197 | + | 0.461067i | −0.967877 | − | 0.251426i | \(-0.919101\pi\) |
0.701679 | + | 0.712493i | \(0.252434\pi\) | |||||||
\(432\) | 3.14955 | + | 5.45519i | 0.151533 | + | 0.262463i | ||||
\(433\) | −32.5407 | −1.56381 | −0.781904 | − | 0.623399i | \(-0.785751\pi\) | ||||
−0.781904 | + | 0.623399i | \(0.785751\pi\) | |||||||
\(434\) | −13.8961 | + | 5.74511i | −0.667034 | + | 0.275774i | ||||
\(435\) | 1.07136 | 0.0513676 | ||||||||
\(436\) | −5.71561 | − | 9.89972i | −0.273728 | − | 0.474111i | ||||
\(437\) | 7.67110 | − | 13.2867i | 0.366959 | − | 0.635591i | ||||
\(438\) | 2.18020 | − | 3.77622i | 0.104174 | − | 0.180435i | ||||
\(439\) | −8.79827 | − | 15.2390i | −0.419918 | − | 0.727320i | 0.576012 | − | 0.817441i | \(-0.304608\pi\) |
−0.995931 | + | 0.0901209i | \(0.971275\pi\) | |||||||
\(440\) | −7.15119 | −0.340920 | ||||||||
\(441\) | 19.9690 | + | 5.37918i | 0.950902 | + | 0.256151i | ||||
\(442\) | 46.7853 | 2.22535 | ||||||||
\(443\) | 11.7785 | + | 20.4010i | 0.559615 | + | 0.969281i | 0.997528 | + | 0.0702643i | \(0.0223843\pi\) |
−0.437914 | + | 0.899017i | \(0.644282\pi\) | |||||||
\(444\) | 0.570239 | − | 0.987683i | 0.0270624 | − | 0.0468734i | ||||
\(445\) | −2.80027 | + | 4.85022i | −0.132746 | + | 0.229922i | ||||
\(446\) | 7.15320 | + | 12.3897i | 0.338714 | + | 0.586670i | ||||
\(447\) | −0.146710 | −0.00693915 | ||||||||
\(448\) | 7.03407 | − | 2.90812i | 0.332329 | − | 0.137396i | ||||
\(449\) | −8.18594 | −0.386318 | −0.193159 | − | 0.981167i | \(-0.561873\pi\) | ||||
−0.193159 | + | 0.981167i | \(0.561873\pi\) | |||||||
\(450\) | 9.84472 | + | 17.0516i | 0.464085 | + | 0.803818i | ||||
\(451\) | 1.75783 | − | 3.04466i | 0.0827732 | − | 0.143367i | ||||
\(452\) | −3.98816 | + | 6.90769i | −0.187587 | + | 0.324910i | ||||
\(453\) | 0.950974 | + | 1.64713i | 0.0446806 | + | 0.0773891i | ||||
\(454\) | 20.9729 | 0.984305 | ||||||||
\(455\) | 12.1272 | + | 9.31838i | 0.568533 | + | 0.436852i | ||||
\(456\) | 1.70865 | 0.0800151 | ||||||||
\(457\) | 4.93519 | + | 8.54800i | 0.230859 | + | 0.399859i | 0.958061 | − | 0.286564i | \(-0.0925132\pi\) |
−0.727202 | + | 0.686423i | \(0.759180\pi\) | |||||||
\(458\) | 16.5388 | − | 28.6460i | 0.772806 | − | 1.33854i | ||||
\(459\) | −3.09358 | + | 5.35824i | −0.144396 | + | 0.250101i | ||||
\(460\) | −1.53133 | − | 2.65234i | −0.0713985 | − | 0.123666i | ||||
\(461\) | −6.23960 | −0.290607 | −0.145304 | − | 0.989387i | \(-0.546416\pi\) | ||||
−0.145304 | + | 0.989387i | \(0.546416\pi\) | |||||||
\(462\) | 0.434883 | − | 3.28635i | 0.0202326 | − | 0.152895i | ||||
\(463\) | −31.4838 | −1.46317 | −0.731587 | − | 0.681748i | \(-0.761220\pi\) | ||||
−0.731587 | + | 0.681748i | \(0.761220\pi\) | |||||||
\(464\) | −12.3853 | − | 21.4520i | −0.574973 | − | 0.995883i | ||||
\(465\) | 0.364830 | − | 0.631904i | 0.0169186 | − | 0.0293039i | ||||
\(466\) | 20.5778 | − | 35.6418i | 0.953249 | − | 1.65108i | ||||
\(467\) | −0.210282 | − | 0.364220i | −0.00973070 | − | 0.0168541i | 0.861119 | − | 0.508403i | \(-0.169764\pi\) |
−0.870850 | + | 0.491549i | \(0.836431\pi\) | |||||||
\(468\) | 13.3656 | 0.617824 | ||||||||
\(469\) | −2.55423 | + | 19.3020i | −0.117943 | + | 0.891282i | ||||
\(470\) | −9.90205 | −0.456748 | ||||||||
\(471\) | −1.69824 | − | 2.94143i | −0.0782506 | − | 0.135534i | ||||
\(472\) | −2.82163 | + | 4.88720i | −0.129876 | + | 0.224952i | ||||
\(473\) | 3.29531 | − | 5.70765i | 0.151519 | − | 0.262438i | ||||
\(474\) | 1.49295 | + | 2.58586i | 0.0685734 | + | 0.118773i | ||||
\(475\) | 15.7604 | 0.723137 | ||||||||
\(476\) | −8.01583 | − | 6.15925i | −0.367405 | − | 0.282309i | ||||
\(477\) | −31.1225 | −1.42500 | ||||||||
\(478\) | 19.1861 | + | 33.2312i | 0.877550 | + | 1.51996i | ||||
\(479\) | −13.9628 | + | 24.1842i | −0.637975 | + | 1.10500i | 0.347902 | + | 0.937531i | \(0.386894\pi\) |
−0.985877 | + | 0.167473i | \(0.946439\pi\) | |||||||
\(480\) | 0.451326 | − | 0.781720i | 0.0206001 | − | 0.0356805i | ||||
\(481\) | 19.5923 | + | 33.9348i | 0.893330 | + | 1.54729i | ||||
\(482\) | 28.6749 | 1.30611 | ||||||||
\(483\) | −2.02971 | + | 0.839151i | −0.0923551 | + | 0.0381827i | ||||
\(484\) | 1.06785 | 0.0485388 | ||||||||
\(485\) | −9.18957 | − | 15.9168i | −0.417277 | − | 0.722745i | ||||
\(486\) | −4.71414 | + | 8.16512i | −0.213838 | + | 0.370378i | ||||
\(487\) | −9.16440 | + | 15.8732i | −0.415279 | + | 0.719284i | −0.995458 | − | 0.0952051i | \(-0.969649\pi\) |
0.580179 | + | 0.814489i | \(0.302983\pi\) | |||||||
\(488\) | −3.25253 | − | 5.63355i | −0.147235 | − | 0.255019i | ||||
\(489\) | −4.32546 | −0.195604 | ||||||||
\(490\) | −3.01861 | − | 11.3259i | −0.136367 | − | 0.511653i | ||||
\(491\) | −8.43902 | −0.380848 | −0.190424 | − | 0.981702i | \(-0.560986\pi\) | ||||
−0.190424 | + | 0.981702i | \(0.560986\pi\) | |||||||
\(492\) | 0.0838424 | + | 0.145219i | 0.00377991 | + | 0.00654699i | ||||
\(493\) | 12.1652 | − | 21.0707i | 0.547893 | − | 0.948978i | ||||
\(494\) | 18.9739 | − | 32.8637i | 0.853674 | − | 1.47861i | ||||
\(495\) | −5.21066 | − | 9.02513i | −0.234202 | − | 0.405650i | ||||
\(496\) | −16.8703 | −0.757499 | ||||||||
\(497\) | −31.1400 | + | 12.8743i | −1.39682 | + | 0.577492i | ||||
\(498\) | −5.33737 | −0.239173 | ||||||||
\(499\) | −3.16013 | − | 5.47351i | −0.141467 | − | 0.245028i | 0.786582 | − | 0.617485i | \(-0.211849\pi\) |
−0.928049 | + | 0.372458i | \(0.878515\pi\) | |||||||
\(500\) | 3.54269 | − | 6.13613i | 0.158434 | − | 0.274416i | ||||
\(501\) | 1.81113 | − | 3.13696i | 0.0809152 | − | 0.140149i | ||||
\(502\) | 19.5891 | + | 33.9293i | 0.874305 | + | 1.51434i | ||||
\(503\) | −25.8395 | −1.15213 | −0.576063 | − | 0.817405i | \(-0.695412\pi\) | ||||
−0.576063 | + | 0.817405i | \(0.695412\pi\) | |||||||
\(504\) | 12.5657 | + | 9.65530i | 0.559721 | + | 0.430081i | ||||
\(505\) | −4.00963 | −0.178426 | ||||||||
\(506\) | −11.4041 | − | 19.7526i | −0.506976 | − | 0.878108i | ||||
\(507\) | 2.15606 | − | 3.73441i | 0.0957540 | − | 0.165851i | ||||
\(508\) | −4.74477 | + | 8.21818i | −0.210515 | + | 0.364623i | ||||
\(509\) | −3.53071 | − | 6.11537i | −0.156496 | − | 0.271059i | 0.777107 | − | 0.629369i | \(-0.216686\pi\) |
−0.933603 | + | 0.358310i | \(0.883353\pi\) | |||||||
\(510\) | 1.73992 | 0.0770452 | ||||||||
\(511\) | 4.24656 | − | 32.0907i | 0.187857 | − | 1.41961i | ||||
\(512\) | −0.783754 | −0.0346373 | ||||||||
\(513\) | 2.50921 | + | 4.34609i | 0.110785 | + | 0.191884i | ||||
\(514\) | −11.6098 | + | 20.1088i | −0.512088 | + | 0.886962i | ||||
\(515\) | 1.48980 | − | 2.58041i | 0.0656484 | − | 0.113706i | ||||
\(516\) | 0.157175 | + | 0.272235i | 0.00691923 | + | 0.0119845i | ||||
\(517\) | −20.7901 | −0.914347 | ||||||||
\(518\) | 3.93969 | − | 29.7717i | 0.173100 | − | 1.30809i | ||||
\(519\) | 2.96156 | 0.129998 | ||||||||
\(520\) | 5.85952 | + | 10.1490i | 0.256957 | + | 0.445062i | ||||
\(521\) | −9.76573 | + | 16.9147i | −0.427845 | + | 0.741048i | −0.996681 | − | 0.0814019i | \(-0.974060\pi\) |
0.568837 | + | 0.822450i | \(0.307394\pi\) | |||||||
\(522\) | 12.3271 | − | 21.3512i | 0.539543 | − | 0.934515i | ||||
\(523\) | −2.87417 | − | 4.97820i | −0.125679 | − | 0.217682i | 0.796319 | − | 0.604876i | \(-0.206777\pi\) |
−0.921998 | + | 0.387195i | \(0.873444\pi\) | |||||||
\(524\) | −6.76054 | −0.295335 | ||||||||
\(525\) | −1.78906 | − | 1.37468i | −0.0780808 | − | 0.0599961i | ||||
\(526\) | −35.6018 | −1.55231 | ||||||||
\(527\) | −8.28525 | − | 14.3505i | −0.360911 | − | 0.625116i | ||||
\(528\) | 1.85960 | − | 3.22092i | 0.0809286 | − | 0.140172i | ||||
\(529\) | 3.94424 | − | 6.83162i | 0.171489 | − | 0.297027i | ||||
\(530\) | 8.81966 | + | 15.2761i | 0.383102 | + | 0.663552i | ||||
\(531\) | −8.22383 | −0.356884 | ||||||||
\(532\) | −7.57731 | + | 3.13272i | −0.328518 | + | 0.135820i | ||||
\(533\) | −5.76131 | −0.249550 | ||||||||
\(534\) | −0.994675 | − | 1.72283i | −0.0430438 | − | 0.0745540i | ||||
\(535\) | −5.87284 | + | 10.1721i | −0.253905 | + | 0.439776i | ||||
\(536\) | −7.45962 | + | 12.9204i | −0.322206 | + | 0.558078i | ||||
\(537\) | 1.31354 | + | 2.27511i | 0.0566833 | + | 0.0981783i | ||||
\(538\) | 45.5145 | 1.96227 | ||||||||
\(539\) | −6.33779 | − | 23.7796i | −0.272988 | − | 1.02426i | ||||
\(540\) | 1.00179 | 0.0431103 | ||||||||
\(541\) | 17.8156 | + | 30.8575i | 0.765953 | + | 1.32667i | 0.939741 | + | 0.341886i | \(0.111066\pi\) |
−0.173788 | + | 0.984783i | \(0.555601\pi\) | |||||||
\(542\) | −20.2990 | + | 35.1588i | −0.871915 | + | 1.51020i | ||||
\(543\) | −0.192012 | + | 0.332574i | −0.00824002 | + | 0.0142721i | ||||
\(544\) | −10.2496 | − | 17.7528i | −0.439446 | − | 0.761143i | ||||
\(545\) | 14.6063 | 0.625667 | ||||||||
\(546\) | −5.02033 | + | 2.07557i | −0.214850 | + | 0.0888263i | ||||
\(547\) | 3.65967 | 0.156476 | 0.0782381 | − | 0.996935i | \(-0.475071\pi\) | ||||
0.0782381 | + | 0.996935i | \(0.475071\pi\) | |||||||
\(548\) | 0.0677110 | + | 0.117279i | 0.00289247 | + | 0.00500991i | ||||
\(549\) | 4.73987 | − | 8.20970i | 0.202293 | − | 0.350381i | ||||
\(550\) | 11.7150 | − | 20.2910i | 0.499529 | − | 0.865210i | ||||
\(551\) | −9.86723 | − | 17.0905i | −0.420358 | − | 0.728082i | ||||
\(552\) | −1.68296 | −0.0716317 | ||||||||
\(553\) | 17.5769 | + | 13.5058i | 0.747445 | + | 0.574326i | ||||
\(554\) | 2.03850 | 0.0866076 | ||||||||
\(555\) | 0.728628 | + | 1.26202i | 0.0309285 | + | 0.0535698i | ||||
\(556\) | −3.45390 | + | 5.98232i | −0.146478 | + | 0.253707i | ||||
\(557\) | 14.2440 | − | 24.6713i | 0.603536 | − | 1.04535i | −0.388745 | − | 0.921345i | \(-0.627091\pi\) |
0.992281 | − | 0.124009i | \(-0.0395753\pi\) | |||||||
\(558\) | −8.39552 | − | 14.5415i | −0.355411 | − | 0.615589i | ||||
\(559\) | −10.8004 | −0.456809 | ||||||||
\(560\) | 1.72516 | − | 13.0368i | 0.0729013 | − | 0.550905i | ||||
\(561\) | 3.65310 | 0.154234 | ||||||||
\(562\) | −14.0148 | − | 24.2744i | −0.591179 | − | 1.02395i | ||||
\(563\) | −1.98279 | + | 3.43428i | −0.0835644 | + | 0.144738i | −0.904779 | − | 0.425882i | \(-0.859964\pi\) |
0.821214 | + | 0.570620i | \(0.193297\pi\) | |||||||
\(564\) | 0.495807 | − | 0.858762i | 0.0208772 | − | 0.0361604i | ||||
\(565\) | −5.09590 | − | 8.82636i | −0.214386 | − | 0.371328i | ||||
\(566\) | −4.57039 | −0.192108 | ||||||||
\(567\) | −2.98205 | + | 22.5349i | −0.125234 | + | 0.946378i | ||||
\(568\) | −25.8201 | −1.08339 | ||||||||
\(569\) | −4.62984 | − | 8.01912i | −0.194093 | − | 0.336179i | 0.752510 | − | 0.658581i | \(-0.228843\pi\) |
−0.946603 | + | 0.322402i | \(0.895510\pi\) | |||||||
\(570\) | 0.705630 | − | 1.22219i | 0.0295556 | − | 0.0511918i | ||||
\(571\) | −9.73144 | + | 16.8554i | −0.407248 | + | 0.705375i | −0.994580 | − | 0.103971i | \(-0.966845\pi\) |
0.587332 | + | 0.809346i | \(0.300178\pi\) | |||||||
\(572\) | −7.95237 | − | 13.7739i | −0.332505 | − | 0.575916i | ||||
\(573\) | 0.462452 | 0.0193192 | ||||||||
\(574\) | 3.50126 | + | 2.69032i | 0.146140 | + | 0.112292i | ||||
\(575\) | −15.5234 | −0.647372 | ||||||||
\(576\) | 4.24973 | + | 7.36076i | 0.177072 | + | 0.306698i | ||||
\(577\) | −17.6029 | + | 30.4892i | −0.732820 | + | 1.26928i | 0.222853 | + | 0.974852i | \(0.428463\pi\) |
−0.955673 | + | 0.294430i | \(0.904870\pi\) | |||||||
\(578\) | 5.57107 | − | 9.64938i | 0.231726 | − | 0.401361i | ||||
\(579\) | 0.751170 | + | 1.30107i | 0.0312176 | + | 0.0540704i | ||||
\(580\) | −3.93945 | −0.163577 | ||||||||
\(581\) | −36.6171 | + | 15.1387i | −1.51913 | + | 0.628061i | ||||
\(582\) | 6.52839 | 0.270610 | ||||||||
\(583\) | 18.5175 | + | 32.0733i | 0.766918 | + | 1.32834i | ||||
\(584\) | 12.4021 | − | 21.4810i | 0.513201 | − | 0.888890i | ||||
\(585\) | −8.53899 | + | 14.7900i | −0.353044 | + | 0.611490i | ||||
\(586\) | 6.12737 | + | 10.6129i | 0.253119 | + | 0.438416i | ||||
\(587\) | −11.7669 | −0.485673 | −0.242836 | − | 0.970067i | \(-0.578078\pi\) | ||||
−0.242836 | + | 0.970067i | \(0.578078\pi\) | |||||||
\(588\) | 1.13339 | + | 0.305310i | 0.0467403 | + | 0.0125908i | ||||
\(589\) | −13.4404 | −0.553802 | ||||||||
\(590\) | 2.33052 | + | 4.03657i | 0.0959459 | + | 0.166183i | ||||
\(591\) | −1.01159 | + | 1.75212i | −0.0416112 | + | 0.0720727i | ||||
\(592\) | 16.8464 | − | 29.1789i | 0.692384 | − | 1.19925i | ||||
\(593\) | −19.4741 | − | 33.7300i | −0.799703 | − | 1.38513i | −0.919809 | − | 0.392366i | \(-0.871657\pi\) |
0.120106 | − | 0.992761i | \(-0.461677\pi\) | |||||||
\(594\) | 7.46058 | 0.306111 | ||||||||
\(595\) | 11.9368 | − | 4.93507i | 0.489361 | − | 0.202318i | ||||
\(596\) | 0.539463 | 0.0220973 | ||||||||
\(597\) | 0.379853 | + | 0.657924i | 0.0155463 | + | 0.0269271i | ||||
\(598\) | −18.6886 | + | 32.3696i | −0.764233 | + | 1.32369i | ||||
\(599\) | 21.9575 | − | 38.0315i | 0.897158 | − | 1.55392i | 0.0660480 | − | 0.997816i | \(-0.478961\pi\) |
0.831110 | − | 0.556107i | \(-0.187706\pi\) | |||||||
\(600\) | −0.864419 | − | 1.49722i | −0.0352898 | − | 0.0611237i | ||||
\(601\) | −28.3881 | −1.15798 | −0.578988 | − | 0.815336i | \(-0.696552\pi\) | ||||
−0.578988 | + | 0.815336i | \(0.696552\pi\) | |||||||
\(602\) | 6.56362 | + | 5.04339i | 0.267513 | + | 0.205553i | ||||
\(603\) | −21.7416 | −0.885385 | ||||||||
\(604\) | −3.49679 | − | 6.05662i | −0.142282 | − | 0.246440i | ||||
\(605\) | −0.682229 | + | 1.18165i | −0.0277365 | + | 0.0480411i | ||||
\(606\) | 0.712124 | − | 1.23343i | 0.0289281 | − | 0.0501049i | ||||
\(607\) | 3.50085 | + | 6.06365i | 0.142095 | + | 0.246116i | 0.928285 | − | 0.371868i | \(-0.121283\pi\) |
−0.786190 | + | 0.617985i | \(0.787949\pi\) | |||||||
\(608\) | −16.6269 | −0.674310 | ||||||||
\(609\) | −0.370617 | + | 2.80070i | −0.0150182 | + | 0.113490i | ||||
\(610\) | −5.37285 | −0.217540 | ||||||||
\(611\) | 17.0349 | + | 29.5053i | 0.689159 | + | 1.19366i | ||||
\(612\) | 5.64409 | − | 9.77584i | 0.228149 | − | 0.395165i | ||||
\(613\) | −5.04436 | + | 8.73709i | −0.203740 | + | 0.352888i | −0.949730 | − | 0.313069i | \(-0.898643\pi\) |
0.745991 | + | 0.665956i | \(0.231976\pi\) | |||||||
\(614\) | −25.3215 | − | 43.8582i | −1.02189 | − | 1.76997i | ||||
\(615\) | −0.214261 | −0.00863983 | ||||||||
\(616\) | 2.47383 | − | 18.6944i | 0.0996735 | − | 0.753219i | ||||
\(617\) | −18.3132 | −0.737262 | −0.368631 | − | 0.929576i | \(-0.620173\pi\) | ||||
−0.368631 | + | 0.929576i | \(0.620173\pi\) | |||||||
\(618\) | 0.529186 | + | 0.916577i | 0.0212870 | + | 0.0368701i | ||||
\(619\) | −6.31274 | + | 10.9340i | −0.253730 | + | 0.439474i | −0.964550 | − | 0.263901i | \(-0.914991\pi\) |
0.710820 | + | 0.703374i | \(0.248324\pi\) | |||||||
\(620\) | −1.34150 | + | 2.32355i | −0.0538761 | + | 0.0933161i | ||||
\(621\) | −2.47149 | − | 4.28074i | −0.0991773 | − | 0.171780i | ||||
\(622\) | −11.5536 | −0.463256 | ||||||||
\(623\) | −11.7106 | − | 8.99823i | −0.469174 | − | 0.360506i | ||||
\(624\) | −6.09484 | −0.243989 | ||||||||
\(625\) | −5.45659 | − | 9.45109i | −0.218263 | − | 0.378043i | ||||
\(626\) | 25.6639 | − | 44.4512i | 1.02574 | − | 1.77663i | ||||
\(627\) | 1.48152 | − | 2.56607i | 0.0591663 | − | 0.102479i | ||||
\(628\) | 6.24452 | + | 10.8158i | 0.249184 | + | 0.431599i | ||||
\(629\) | 33.0941 | 1.31955 | ||||||||
\(630\) | 12.0957 | − | 5.00075i | 0.481903 | − | 0.199235i | ||||
\(631\) | 18.6742 | 0.743409 | 0.371705 | − | 0.928351i | \(-0.378773\pi\) | ||||
0.371705 | + | 0.928351i | \(0.378773\pi\) | |||||||
\(632\) | 8.49263 | + | 14.7097i | 0.337819 | + | 0.585119i | ||||
\(633\) | 2.31378 | − | 4.00759i | 0.0919647 | − | 0.159287i | ||||
\(634\) | 2.42494 | − | 4.20012i | 0.0963068 | − | 0.166808i | ||||
\(635\) | −6.06266 | − | 10.5008i | −0.240589 | − | 0.416713i | ||||
\(636\) | −1.76644 | −0.0700439 | ||||||||
\(637\) | −28.5550 | + | 28.4790i | −1.13139 | + | 1.12838i | ||||
\(638\) | −29.3380 | −1.16150 | ||||||||
\(639\) | −18.8137 | − | 32.5862i | −0.744257 | − | 1.28909i | ||||
\(640\) | 6.63555 | − | 11.4931i | 0.262293 | − | 0.454305i | ||||
\(641\) | −0.577181 | + | 0.999707i | −0.0227973 | + | 0.0394860i | −0.877199 | − | 0.480127i | \(-0.840591\pi\) |
0.854402 | + | 0.519613i | \(0.173924\pi\) | |||||||
\(642\) | −2.08607 | − | 3.61318i | −0.0823306 | − | 0.142601i | ||||
\(643\) | −25.1954 | −0.993611 | −0.496806 | − | 0.867862i | \(-0.665494\pi\) | ||||
−0.496806 | + | 0.867862i | \(0.665494\pi\) | |||||||
\(644\) | 7.46338 | − | 3.08561i | 0.294098 | − | 0.121590i | ||||
\(645\) | −0.401663 | −0.0158155 | ||||||||
\(646\) | −16.0248 | − | 27.7557i | −0.630486 | − | 1.09203i | ||||
\(647\) | −21.2669 | + | 36.8354i | −0.836090 | + | 1.44815i | 0.0570506 | + | 0.998371i | \(0.481830\pi\) |
−0.893140 | + | 0.449778i | \(0.851503\pi\) | |||||||
\(648\) | −8.70905 | + | 15.0845i | −0.342124 | + | 0.592576i | ||||
\(649\) | 4.89309 | + | 8.47508i | 0.192071 | + | 0.332676i | ||||
\(650\) | −38.3960 | −1.50601 | ||||||||
\(651\) | 1.52570 | + | 1.17232i | 0.0597967 | + | 0.0459470i | ||||
\(652\) | 15.9050 | 0.622888 | ||||||||
\(653\) | 0.545599 | + | 0.945006i | 0.0213509 | + | 0.0369809i | 0.876503 | − | 0.481396i | \(-0.159870\pi\) |
−0.855153 | + | 0.518376i | \(0.826537\pi\) | |||||||
\(654\) | −2.59413 | + | 4.49317i | −0.101439 | + | 0.175697i | ||||
\(655\) | 4.31917 | − | 7.48101i | 0.168764 | − | 0.292307i | ||||
\(656\) | 2.47694 | + | 4.29018i | 0.0967081 | + | 0.167503i | ||||
\(657\) | 36.1467 | 1.41022 | ||||||||
\(658\) | 3.42544 | − | 25.8856i | 0.133538 | − | 1.00913i | ||||
\(659\) | 23.5037 | 0.915573 | 0.457786 | − | 0.889062i | \(-0.348642\pi\) | ||||
0.457786 | + | 0.889062i | \(0.348642\pi\) | |||||||
\(660\) | −0.295745 | − | 0.512246i | −0.0115119 | − | 0.0199391i | ||||
\(661\) | −8.32643 | + | 14.4218i | −0.323861 | + | 0.560943i | −0.981281 | − | 0.192581i | \(-0.938314\pi\) |
0.657420 | + | 0.753524i | \(0.271648\pi\) | |||||||
\(662\) | 3.88416 | − | 6.72756i | 0.150962 | − | 0.261474i | ||||
\(663\) | −2.99326 | − | 5.18448i | −0.116249 | − | 0.201349i | ||||
\(664\) | −30.3616 | −1.17826 | ||||||||
\(665\) | 1.37441 | − | 10.3863i | 0.0532975 | − | 0.402762i | ||||
\(666\) | 33.5346 | 1.29944 | ||||||||
\(667\) | 9.71887 | + | 16.8336i | 0.376316 | + | 0.651799i | ||||
\(668\) | −6.65963 | + | 11.5348i | −0.257669 | + | 0.446295i | ||||
\(669\) | 0.915305 | − | 1.58536i | 0.0353878 | − | 0.0612934i | ||||
\(670\) | 6.16125 | + | 10.6716i | 0.238030 | + | 0.412280i | ||||
\(671\) | −11.2807 | −0.435486 | ||||||||
\(672\) | 1.88742 | + | 1.45026i | 0.0728087 | + | 0.0559451i | ||||
\(673\) | 40.5668 | 1.56374 | 0.781868 | − | 0.623444i | \(-0.214267\pi\) | ||||
0.781868 | + | 0.623444i | \(0.214267\pi\) | |||||||
\(674\) | 19.8821 | + | 34.4369i | 0.765832 | + | 1.32646i | ||||
\(675\) | 2.53886 | − | 4.39743i | 0.0977206 | − | 0.169257i | ||||
\(676\) | −7.92797 | + | 13.7317i | −0.304922 | + | 0.528140i | ||||
\(677\) | −1.85888 | − | 3.21967i | −0.0714425 | − | 0.123742i | 0.828091 | − | 0.560593i | \(-0.189427\pi\) |
−0.899534 | + | 0.436851i | \(0.856094\pi\) | |||||||
\(678\) | 3.62019 | 0.139033 | ||||||||
\(679\) | 44.7881 | − | 18.5169i | 1.71881 | − | 0.710614i | ||||
\(680\) | 9.89755 | 0.379554 | ||||||||
\(681\) | −1.34182 | − | 2.32410i | −0.0514185 | − | 0.0890595i | ||||
\(682\) | −9.99049 | + | 17.3040i | −0.382555 | + | 0.662605i | ||||
\(683\) | 0.845641 | − | 1.46469i | 0.0323576 | − | 0.0560449i | −0.849393 | − | 0.527761i | \(-0.823032\pi\) |
0.881751 | + | 0.471716i | \(0.156365\pi\) | |||||||
\(684\) | −4.57794 | − | 7.92923i | −0.175042 | − | 0.303182i | ||||
\(685\) | −0.173037 | −0.00661139 | ||||||||
\(686\) | 30.6521 | − | 3.97314i | 1.17030 | − | 0.151695i | ||||
\(687\) | −4.23252 | −0.161481 | ||||||||
\(688\) | 4.64338 | + | 8.04257i | 0.177027 | + | 0.306620i | ||||
\(689\) | 30.3457 | − | 52.5602i | 1.15608 | − | 2.00238i | ||||
\(690\) | −0.695020 | + | 1.20381i | −0.0264590 | + | 0.0458283i | ||||
\(691\) | 12.0739 | + | 20.9127i | 0.459314 | + | 0.795555i | 0.998925 | − | 0.0463595i | \(-0.0147620\pi\) |
−0.539611 | + | 0.841915i | \(0.681429\pi\) | |||||||
\(692\) | −10.8898 | −0.413970 | ||||||||
\(693\) | 25.3957 | − | 10.4994i | 0.964704 | − | 0.398841i | ||||
\(694\) | 28.6715 | 1.08836 | ||||||||
\(695\) | −4.41324 | − | 7.64396i | −0.167404 | − | 0.289952i | ||||
\(696\) | −1.08239 | + | 1.87475i | −0.0410277 | + | 0.0710621i | ||||
\(697\) | −2.43292 | + | 4.21394i | −0.0921533 | + | 0.159614i | ||||
\(698\) | 9.01131 | + | 15.6081i | 0.341083 | + | 0.590774i | ||||
\(699\) | −5.26617 | −0.199185 | ||||||||
\(700\) | 6.57847 | + | 5.05480i | 0.248643 | + | 0.191054i | ||||
\(701\) | −4.80032 | −0.181305 | −0.0906527 | − | 0.995883i | \(-0.528895\pi\) | ||||
−0.0906527 | + | 0.995883i | \(0.528895\pi\) | |||||||
\(702\) | −6.11302 | − | 10.5881i | −0.230721 | − | 0.399621i | ||||
\(703\) | 13.4214 | − | 23.2465i | 0.506197 | − | 0.876758i | ||||
\(704\) | 5.05709 | − | 8.75914i | 0.190596 | − | 0.330122i | ||||
\(705\) | 0.633521 | + | 1.09729i | 0.0238598 | + | 0.0413263i | ||||
\(706\) | −7.04105 | −0.264994 | ||||||||
\(707\) | 1.38706 | − | 10.4819i | 0.0521659 | − | 0.394211i | ||||
\(708\) | −0.466766 | −0.0175421 | ||||||||
\(709\) | −24.0138 | − | 41.5930i | −0.901856 | − | 1.56206i | −0.825083 | − | 0.565011i | \(-0.808872\pi\) |
−0.0767722 | − | 0.997049i | \(-0.524461\pi\) | |||||||
\(710\) | −10.6630 | + | 18.4689i | −0.400177 | + | 0.693127i | ||||
\(711\) | −12.3762 | + | 21.4362i | −0.464143 | + | 0.803920i | ||||
\(712\) | −5.65820 | − | 9.80029i | −0.212050 | − | 0.367281i | ||||
\(713\) | 13.2383 | 0.495778 | ||||||||
\(714\) | −0.601897 | + | 4.54845i | −0.0225254 | + | 0.170222i | ||||
\(715\) | 20.3224 | 0.760015 | ||||||||
\(716\) | −4.82996 | − | 8.36573i | −0.180504 | − | 0.312642i | ||||
\(717\) | 2.45500 | − | 4.25219i | 0.0916837 | − | 0.158801i | ||||
\(718\) | 1.63116 | − | 2.82526i | 0.0608745 | − | 0.105438i | ||||
\(719\) | 5.92186 | + | 10.2570i | 0.220848 | + | 0.382520i | 0.955066 | − | 0.296394i | \(-0.0957841\pi\) |
−0.734218 | + | 0.678914i | \(0.762451\pi\) | |||||||
\(720\) | 14.6845 | 0.547260 | ||||||||
\(721\) | 6.23024 | + | 4.78723i | 0.232026 | + | 0.178286i | ||||
\(722\) | 5.71363 | 0.212639 | ||||||||
\(723\) | −1.83459 | − | 3.17760i | −0.0682290 | − | 0.118176i | ||||
\(724\) | 0.706040 | − | 1.22290i | 0.0262398 | − | 0.0454486i | ||||
\(725\) | −9.98379 | + | 17.2924i | −0.370789 | + | 0.642225i | ||||
\(726\) | −0.242332 | − | 0.419731i | −0.00899378 | − | 0.0155777i | ||||
\(727\) | 48.3049 | 1.79153 | 0.895765 | − | 0.444527i | \(-0.146628\pi\) | ||||
0.895765 | + | 0.444527i | \(0.146628\pi\) | |||||||
\(728\) | −28.5581 | + | 11.8069i | −1.05843 | + | 0.437592i | ||||
\(729\) | −24.5685 | −0.909946 | ||||||||
\(730\) | −10.2434 | − | 17.7422i | −0.379127 | − | 0.656667i | ||||
\(731\) | −4.56086 | + | 7.89963i | −0.168689 | + | 0.292179i | ||||
\(732\) | 0.269024 | − | 0.465964i | 0.00994342 | − | 0.0172225i | ||||
\(733\) | −20.0390 | − | 34.7086i | −0.740159 | − | 1.28199i | −0.952423 | − | 0.304781i | \(-0.901417\pi\) |
0.212263 | − | 0.977212i | \(-0.431916\pi\) | |||||||
\(734\) | −3.57591 | −0.131989 | ||||||||
\(735\) | −1.06195 | + | 1.05912i | −0.0391705 | + | 0.0390663i | ||||
\(736\) | 16.3769 | 0.603661 | ||||||||
\(737\) | 12.9360 | + | 22.4058i | 0.476504 | + | 0.825329i | ||||
\(738\) | −2.46530 | + | 4.27002i | −0.0907489 | + | 0.157182i | ||||
\(739\) | −5.89362 | + | 10.2080i | −0.216800 | + | 0.375509i | −0.953828 | − | 0.300354i | \(-0.902895\pi\) |
0.737028 | + | 0.675862i | \(0.236229\pi\) | |||||||
\(740\) | −2.67921 | − | 4.64053i | −0.0984898 | − | 0.170589i | ||||
\(741\) | −4.85569 | −0.178378 | ||||||||
\(742\) | −42.9853 | + | 17.7716i | −1.57804 | + | 0.652415i | ||||
\(743\) | 8.89729 | 0.326410 | 0.163205 | − | 0.986592i | \(-0.447817\pi\) | ||||
0.163205 | + | 0.986592i | \(0.447817\pi\) | |||||||
\(744\) | 0.737172 | + | 1.27682i | 0.0270260 | + | 0.0468105i | ||||
\(745\) | −0.344652 | + | 0.596954i | −0.0126271 | + | 0.0218707i | ||||
\(746\) | −7.50030 | + | 12.9909i | −0.274605 | + | 0.475631i | ||||
\(747\) | −22.1227 | − | 38.3177i | −0.809429 | − | 1.40197i | ||||
\(748\) | −13.4327 | −0.491147 | ||||||||
\(749\) | −24.5598 | − | 18.8714i | −0.897397 | − | 0.689547i | ||||
\(750\) | −3.21583 | −0.117426 | ||||||||
\(751\) | −20.0914 | − | 34.7993i | −0.733145 | − | 1.26985i | −0.955532 | − | 0.294887i | \(-0.904718\pi\) |
0.222387 | − | 0.974958i | \(-0.428615\pi\) | |||||||
\(752\) | 14.6475 | − | 25.3702i | 0.534139 | − | 0.925156i | ||||
\(753\) | 2.50657 | − | 4.34151i | 0.0913446 | − | 0.158214i | ||||
\(754\) | 24.0388 | + | 41.6365i | 0.875443 | + | 1.51631i | ||||
\(755\) | 8.93611 | 0.325218 | ||||||||
\(756\) | −0.346553 | + | 2.61885i | −0.0126040 | + | 0.0952467i | ||||
\(757\) | −36.7228 | −1.33471 | −0.667357 | − | 0.744738i | \(-0.732574\pi\) | ||||
−0.667357 | + | 0.744738i | \(0.732574\pi\) | |||||||
\(758\) | 21.1662 | + | 36.6609i | 0.768791 | + | 1.33158i | ||||
\(759\) | −1.45925 | + | 2.52749i | −0.0529672 | + | 0.0917420i | ||||
\(760\) | 4.01397 | − | 6.95240i | 0.145602 | − | 0.252190i | ||||
\(761\) | 19.0594 | + | 33.0119i | 0.690904 | + | 1.19668i | 0.971542 | + | 0.236867i | \(0.0761204\pi\) |
−0.280639 | + | 0.959813i | \(0.590546\pi\) | |||||||
\(762\) | 4.30699 | 0.156026 | ||||||||
\(763\) | −5.05281 | + | 38.1834i | −0.182924 | + | 1.38233i | ||||
\(764\) | −1.70047 | −0.0615207 | ||||||||
\(765\) | 7.21178 | + | 12.4912i | 0.260742 | + | 0.451619i | ||||
\(766\) | 20.4926 | − | 35.4942i | 0.740427 | − | 1.28246i | ||||
\(767\) | 8.01857 | − | 13.8886i | 0.289534 | − | 0.501487i | ||||
\(768\) | 1.74263 | + | 3.01833i | 0.0628819 | + | 0.108915i | ||||
\(769\) | −3.22533 | −0.116308 | −0.0581541 | − | 0.998308i | \(-0.518521\pi\) | ||||
−0.0581541 | + | 0.998308i | \(0.518521\pi\) | |||||||
\(770\) | −12.3503 | − | 9.48981i | −0.445075 | − | 0.341989i | ||||
\(771\) | 2.97113 | 0.107003 | ||||||||
\(772\) | −2.76210 | − | 4.78410i | −0.0994102 | − | 0.172184i | ||||
\(773\) | 21.8124 | − | 37.7801i | 0.784536 | − | 1.35886i | −0.144740 | − | 0.989470i | \(-0.546234\pi\) |
0.929276 | − | 0.369387i | \(-0.120432\pi\) | |||||||
\(774\) | −4.62156 | + | 8.00478i | −0.166119 | + | 0.287726i | ||||
\(775\) | 6.79958 | + | 11.7772i | 0.244248 | + | 0.423050i | ||||
\(776\) | 37.1367 | 1.33313 | ||||||||
\(777\) | −3.55119 | + | 1.46818i | −0.127398 | + | 0.0526707i | ||||
\(778\) | 38.9308 | 1.39574 | ||||||||
\(779\) | 1.97335 | + | 3.41794i | 0.0707025 | + | 0.122460i | ||||
\(780\) | −0.484654 | + | 0.839445i | −0.0173534 | + | 0.0300569i | ||||
\(781\) | −22.3878 | + | 38.7769i | −0.801100 | + | 1.38755i | ||||
\(782\) | 15.7838 | + | 27.3384i | 0.564428 | + | 0.977618i | ||||
\(783\) | −6.35807 | −0.227219 | ||||||||
\(784\) | 33.4835 | + | 9.01970i | 1.19584 | + | 0.322132i | ||||
\(785\) | −15.9580 | −0.569565 | ||||||||
\(786\) | 1.53419 | + | 2.65730i | 0.0547229 | + | 0.0947829i | ||||
\(787\) | −4.17525 | + | 7.23174i | −0.148832 | + | 0.257784i | −0.930796 | − | 0.365539i | \(-0.880885\pi\) |
0.781964 | + | 0.623323i | \(0.214218\pi\) | |||||||
\(788\) | 3.71967 | − | 6.44266i | 0.132508 | − | 0.229510i | ||||
\(789\) | 2.27776 | + | 3.94519i | 0.0810904 | + | 0.140453i | ||||
\(790\) | 14.0289 | 0.499127 | ||||||||
\(791\) | 24.8364 | − | 10.2682i | 0.883081 | − | 0.365095i | ||||
\(792\) | 21.0572 | 0.748236 | ||||||||
\(793\) | 9.24313 | + | 16.0096i | 0.328233 | + | 0.568516i | ||||
\(794\) | −14.9214 | + | 25.8447i | −0.529541 | + | 0.917192i | ||||
\(795\) | 1.12854 | − | 1.95469i | 0.0400253 | − | 0.0693258i | ||||
\(796\) | −1.39674 | − | 2.41923i | −0.0495063 | − | 0.0857473i | ||||
\(797\) | −11.5618 | −0.409539 | −0.204769 | − | 0.978810i | \(-0.565644\pi\) | ||||
−0.204769 | + | 0.978810i | \(0.565644\pi\) | |||||||
\(798\) | 2.95090 | + | 2.26743i | 0.104461 | + | 0.0802661i | ||||
\(799\) | 28.7744 | 1.01796 | ||||||||
\(800\) | 8.41166 | + | 14.5694i | 0.297397 | + | 0.515107i | ||||
\(801\) | 8.24561 | − | 14.2818i | 0.291344 | − | 0.504623i | ||||
\(802\) | −18.2616 | + | 31.6301i | −0.644840 | + | 1.11690i | ||||
\(803\) | −21.5069 | − | 37.2510i | −0.758961 | − | 1.31456i | ||||
\(804\) | −1.23400 | −0.0435199 | ||||||||
\(805\) | −1.35375 | + | 10.2301i | −0.0477134 | + | 0.360564i | ||||
\(806\) | 32.7439 | 1.15335 | ||||||||
\(807\) | −2.91196 | − | 5.04366i | −0.102506 | − | 0.177545i | ||||
\(808\) | 4.05091 | − | 7.01639i | 0.142511 | − | 0.246836i | ||||
\(809\) | −24.3994 | + | 42.2609i | −0.857836 | + | 1.48582i | 0.0161531 | + | 0.999870i | \(0.494858\pi\) |
−0.873989 | + | 0.485946i | \(0.838475\pi\) | |||||||
\(810\) | 7.19322 | + | 12.4590i | 0.252744 | + | 0.437766i | ||||
\(811\) | 13.8738 | 0.487176 | 0.243588 | − | 0.969879i | \(-0.421676\pi\) | ||||
0.243588 | + | 0.969879i | \(0.421676\pi\) | |||||||
\(812\) | 1.36278 | − | 10.2984i | 0.0478243 | − | 0.361402i | ||||
\(813\) | 5.19481 | 0.182190 | ||||||||
\(814\) | −19.9527 | − | 34.5591i | −0.699342 | − | 1.21130i | ||||
\(815\) | −10.1614 | + | 17.6000i | −0.355937 | + | 0.616502i | ||||
\(816\) | −2.57376 | + | 4.45789i | −0.0900997 | + | 0.156057i | ||||
\(817\) | 3.69933 | + | 6.40742i | 0.129423 | + | 0.224167i | ||||
\(818\) | −29.2068 | −1.02119 | ||||||||
\(819\) | −35.7095 | − | 27.4387i | −1.24779 | − | 0.958785i | ||||
\(820\) | 0.787850 | 0.0275129 | ||||||||
\(821\) | −18.5968 | − | 32.2107i | −0.649034 | − | 1.12416i | −0.983354 | − | 0.181700i | \(-0.941840\pi\) |
0.334320 | − | 0.942460i | \(-0.391493\pi\) | |||||||
\(822\) | 0.0307319 | − | 0.0532291i | 0.00107190 | − | 0.00185658i | ||||
\(823\) | 15.8277 | − | 27.4143i | 0.551718 | − | 0.955604i | −0.446433 | − | 0.894817i | \(-0.647306\pi\) |
0.998151 | − | 0.0607866i | \(-0.0193609\pi\) | |||||||
\(824\) | 3.01027 | + | 5.21394i | 0.104868 | + | 0.181636i | ||||
\(825\) | −2.99804 | −0.104378 | ||||||||
\(826\) | −11.3585 | + | 4.69598i | −0.395212 | + | 0.163394i | ||||
\(827\) | 18.2232 | 0.633683 | 0.316842 | − | 0.948478i | \(-0.397378\pi\) | ||||
0.316842 | + | 0.948478i | \(0.397378\pi\) | |||||||
\(828\) | 4.50911 | + | 7.81000i | 0.156702 | + | 0.271416i | ||||
\(829\) | −3.96544 | + | 6.86834i | −0.137725 | + | 0.238547i | −0.926635 | − | 0.375962i | \(-0.877312\pi\) |
0.788910 | + | 0.614509i | \(0.210646\pi\) | |||||||
\(830\) | −12.5385 | + | 21.7174i | −0.435219 | + | 0.753822i | ||||
\(831\) | −0.130421 | − | 0.225895i | −0.00452424 | − | 0.00783622i | ||||
\(832\) | −16.5746 | −0.574622 | ||||||||
\(833\) | 8.77177 | + | 32.9120i | 0.303924 | + | 1.14033i | ||||
\(834\) | 3.13522 | 0.108564 | ||||||||
\(835\) | −8.50940 | − | 14.7387i | −0.294480 | − | 0.510054i | ||||
\(836\) | −5.44765 | + | 9.43560i | −0.188411 | + | 0.326337i | ||||
\(837\) | −2.16512 | + | 3.75010i | −0.0748375 | + | 0.129622i | ||||
\(838\) | 6.03462 | + | 10.4523i | 0.208462 | + | 0.361068i | ||||
\(839\) | −3.16668 | −0.109326 | −0.0546630 | − | 0.998505i | \(-0.517408\pi\) | ||||
−0.0546630 | + | 0.998505i | \(0.517408\pi\) | |||||||
\(840\) | −1.06206 | + | 0.439093i | −0.0366447 | + | 0.0151502i | ||||
\(841\) | −3.99752 | −0.137845 | ||||||||
\(842\) | 2.92264 | + | 5.06216i | 0.100721 | + | 0.174454i | ||||
\(843\) | −1.79330 | + | 3.10609i | −0.0617645 | + | 0.106979i | ||||
\(844\) | −8.50793 | + | 14.7362i | −0.292855 | + | 0.507240i | ||||
\(845\) | −10.1300 | − | 17.5457i | −0.348484 | − | 0.603591i | ||||
\(846\) | 29.1573 | 1.00245 | ||||||||
\(847\) | −2.85304 | − | 2.19223i | −0.0980315 | − | 0.0753260i | ||||
\(848\) | −52.1855 | −1.79206 | ||||||||
\(849\) | 0.292408 | + | 0.506465i | 0.0100354 | + | 0.0173818i | ||||
\(850\) | −16.2141 | + | 28.0836i | −0.556138 | + | 0.963259i | ||||
\(851\) | −13.2196 | + | 22.8970i | −0.453161 | + | 0.784898i | ||||
\(852\) | −1.06782 | − | 1.84952i | −0.0365829 | − | 0.0633635i | ||||
\(853\) | −39.5683 | −1.35479 | −0.677396 | − | 0.735618i | \(-0.736892\pi\) | ||||
−0.677396 | + | 0.735618i | \(0.736892\pi\) | |||||||
\(854\) | 1.85864 | − | 14.0455i | 0.0636015 | − | 0.480628i | ||||
\(855\) | 11.6990 | 0.400097 | ||||||||
\(856\) | −11.8666 | − | 20.5535i | −0.405592 | − | 0.702505i | ||||
\(857\) | 13.6357 | − | 23.6177i | 0.465785 | − | 0.806764i | −0.533451 | − | 0.845831i | \(-0.679105\pi\) |
0.999237 | + | 0.0390669i | \(0.0124385\pi\) | |||||||
\(858\) | −3.60933 | + | 6.25154i | −0.123220 | + | 0.213424i | ||||
\(859\) | 14.8438 | + | 25.7103i | 0.506465 | + | 0.877224i | 0.999972 | + | 0.00748180i | \(0.00238155\pi\) |
−0.493507 | + | 0.869742i | \(0.664285\pi\) | |||||||
\(860\) | 1.47694 | 0.0503632 | ||||||||
\(861\) | 0.0741198 | − | 0.560113i | 0.00252600 | − | 0.0190886i | ||||
\(862\) | −18.4460 | −0.628275 | ||||||||
\(863\) | −15.2252 | − | 26.3708i | −0.518271 | − | 0.897671i | −0.999775 | − | 0.0212274i | \(-0.993243\pi\) |
0.481504 | − | 0.876444i | \(-0.340091\pi\) | |||||||
\(864\) | −2.67844 | + | 4.63920i | −0.0911224 | + | 0.157829i | ||||
\(865\) | 6.95729 | − | 12.0504i | 0.236555 | − | 0.409725i | ||||
\(866\) | −27.1536 | − | 47.0315i | −0.922718 | − | 1.59819i | ||||
\(867\) | −1.42572 | −0.0484200 | ||||||||
\(868\) | −5.61008 | − | 4.31071i | −0.190419 | − | 0.146315i | ||||
\(869\) | 29.4548 | 0.999185 | ||||||||
\(870\) | 0.893994 | + | 1.54844i | 0.0303092 | + | 0.0524971i | ||||
\(871\) | 21.1989 | − | 36.7176i | 0.718298 | − | 1.24413i | ||||
\(872\) | −14.7567 | + | 25.5594i | −0.499725 | + | 0.865549i | ||||
\(873\) | 27.0594 | + | 46.8682i | 0.915821 | + | 1.58625i | ||||
\(874\) | 25.6046 | 0.866090 | ||||||||
\(875\) | −22.0623 | + | 9.12128i | −0.745841 | + | 0.308356i | ||||
\(876\) | 2.05160 | 0.0693172 | ||||||||
\(877\) | 7.68523 | + | 13.3112i | 0.259512 | + | 0.449487i | 0.966111 | − | 0.258126i | \(-0.0831051\pi\) |
−0.706600 | + | 0.707614i | \(0.749772\pi\) | |||||||
\(878\) | 14.6834 | − | 25.4325i | 0.495542 | − | 0.858304i | ||||
\(879\) | 0.784043 | − | 1.35800i | 0.0264451 | − | 0.0458043i | ||||
\(880\) | −8.73714 | − | 15.1332i | −0.294529 | − | 0.510139i | ||||
\(881\) | 1.78454 | 0.0601226 | 0.0300613 | − | 0.999548i | \(-0.490430\pi\) | ||||
0.0300613 | + | 0.999548i | \(0.490430\pi\) | |||||||
\(882\) | 8.88852 | + | 33.3500i | 0.299292 | + | 1.12295i | ||||
\(883\) | −16.3164 | −0.549090 | −0.274545 | − | 0.961574i | \(-0.588527\pi\) | ||||
−0.274545 | + | 0.961574i | \(0.588527\pi\) | |||||||
\(884\) | 11.0064 | + | 19.0637i | 0.370186 | + | 0.641181i | ||||
\(885\) | 0.298207 | − | 0.516510i | 0.0100241 | − | 0.0173623i | ||||
\(886\) | −19.6572 | + | 34.0473i | −0.660397 | + | 1.14384i | ||||
\(887\) | 11.7016 | + | 20.2678i | 0.392903 | + | 0.680528i | 0.992831 | − | 0.119526i | \(-0.0381375\pi\) |
−0.599928 | + | 0.800054i | \(0.704804\pi\) | |||||||
\(888\) | −2.94451 | −0.0988114 | ||||||||
\(889\) | 29.5482 | − | 12.2162i | 0.991015 | − | 0.409719i | ||||
\(890\) | −9.34676 | −0.313304 | ||||||||
\(891\) | 15.1027 | + | 26.1586i | 0.505959 | + | 0.876348i | ||||
\(892\) | −3.36564 | + | 5.82945i | −0.112690 | + | 0.195185i | ||||
\(893\) | 11.6695 | − | 20.2122i | 0.390505 | − | 0.676374i | ||||
\(894\) | −0.122422 | − | 0.212042i | −0.00409442 | − | 0.00709174i | ||||
\(895\) | 12.3430 | 0.412582 | ||||||||
\(896\) | 27.7494 | + | 21.3223i | 0.927044 | + | 0.712327i | ||||
\(897\) | 4.78269 | 0.159689 | ||||||||
\(898\) | −6.83076 | − | 11.8312i | −0.227946 | − | 0.394813i | ||||
\(899\) | 8.51412 | − | 14.7469i | 0.283962 | − | 0.491836i | ||||
\(900\) | −4.63202 | + | 8.02289i | −0.154401 | + | 0.267430i | ||||
\(901\) | −25.6290 | − | 44.3908i | −0.853827 | − | 1.47887i | ||||
\(902\) | 5.86730 | 0.195360 | ||||||||
\(903\) | 0.138948 | − | 1.05001i | 0.00462391 | − | 0.0349423i | ||||
\(904\) | 20.5934 | 0.684928 | ||||||||
\(905\) | 0.902149 | + | 1.56257i | 0.0299884 | + | 0.0519415i | ||||
\(906\) | −1.58708 | + | 2.74890i | −0.0527272 | + | 0.0913262i | ||||
\(907\) | −27.2790 | + | 47.2485i | −0.905783 | + | 1.56886i | −0.0859196 | + | 0.996302i | \(0.527383\pi\) |
−0.819863 | + | 0.572560i | \(0.805951\pi\) | |||||||
\(908\) | 4.93395 | + | 8.54585i | 0.163739 | + | 0.283604i | ||||
\(909\) | 11.8067 | 0.391603 | ||||||||
\(910\) | −3.34839 | + | 25.3033i | −0.110998 | + | 0.838797i | ||||
\(911\) | −6.08564 | −0.201626 | −0.100813 | − | 0.994905i | \(-0.532144\pi\) | ||||
−0.100813 | + | 0.994905i | \(0.532144\pi\) | |||||||
\(912\) | 2.08759 | + | 3.61581i | 0.0691270 | + | 0.119731i | ||||
\(913\) | −26.3256 | + | 45.5973i | −0.871250 | + | 1.50905i | ||||
\(914\) | −8.23635 | + | 14.2658i | −0.272434 | + | 0.471870i | ||||
\(915\) | 0.343748 | + | 0.595389i | 0.0113640 | + | 0.0196830i | ||||
\(916\) | 15.5632 | 0.514224 | ||||||||
\(917\) | 18.0625 | + | 13.8789i | 0.596475 | + | 0.458323i | ||||
\(918\) | −10.3258 | −0.340801 | ||||||||
\(919\) | 6.07391 | + | 10.5203i | 0.200360 | + | 0.347034i | 0.948644 | − | 0.316344i | \(-0.102456\pi\) |
−0.748284 | + | 0.663378i | \(0.769122\pi\) | |||||||
\(920\) | −3.95362 | + | 6.84787i | −0.130347 | + | 0.225767i | ||||
\(921\) | −3.24008 | + | 5.61198i | −0.106764 | + | 0.184921i | ||||
\(922\) | −5.20664 | − | 9.01816i | −0.171472 | − | 0.296997i | ||||
\(923\) | 73.3763 | 2.41521 | ||||||||
\(924\) | 1.44140 | − | 0.595925i | 0.0474187 | − | 0.0196045i | ||||
\(925\) | −27.1598 | −0.893010 | ||||||||
\(926\) | −26.2716 | − | 45.5038i | −0.863340 | − | 1.49535i | ||||
\(927\) | −4.38683 | + | 7.59820i | −0.144082 | + | 0.249558i | ||||
\(928\) | 10.5327 | − | 18.2432i | 0.345753 | − | 0.598861i | ||||
\(929\) | −0.362326 | − | 0.627568i | −0.0118875 | − | 0.0205898i | 0.860020 | − | 0.510260i | \(-0.170451\pi\) |
−0.871908 | + | 0.489670i | \(0.837117\pi\) | |||||||
\(930\) | 1.21773 | 0.0399310 | ||||||||
\(931\) | 26.6760 | + | 7.18590i | 0.874269 | + | 0.235508i | ||||
\(932\) | 19.3641 | 0.634291 | ||||||||
\(933\) | 0.739183 | + | 1.28030i | 0.0241998 | + | 0.0419152i | ||||
\(934\) | 0.350940 | − | 0.607846i | 0.0114831 | − | 0.0198893i | ||||
\(935\) | 8.58186 | − | 14.8642i | 0.280657 | − | 0.486112i | ||||
\(936\) | −17.2538 | − | 29.8844i | −0.563958 | − | 0.976803i | ||||
\(937\) | 54.0177 | 1.76468 | 0.882341 | − | 0.470610i | \(-0.155966\pi\) | ||||
0.882341 | + | 0.470610i | \(0.155966\pi\) | |||||||
\(938\) | −30.0287 | + | 12.4149i | −0.980473 | + | 0.405360i | ||||
\(939\) | −6.56778 | −0.214332 | ||||||||
\(940\) | −2.32950 | − | 4.03481i | −0.0759798 | − | 0.131601i | ||||
\(941\) | 27.0814 | − | 46.9063i | 0.882828 | − | 1.52910i | 0.0346444 | − | 0.999400i | \(-0.488970\pi\) |
0.848183 | − | 0.529703i | \(-0.177697\pi\) | |||||||
\(942\) | 2.83419 | − | 4.90896i | 0.0923428 | − | 0.159942i | ||||
\(943\) | −1.94368 | − | 3.36655i | −0.0632948 | − | 0.109630i | ||||
\(944\) | −13.7896 | −0.448812 | ||||||||
\(945\) | −2.67654 | − | 2.05662i | −0.0870679 | − | 0.0669017i | ||||
\(946\) | 10.9991 | 0.357612 | ||||||||
\(947\) | −20.5106 | − | 35.5255i | −0.666506 | − | 1.15442i | −0.978875 | − | 0.204461i | \(-0.934456\pi\) |
0.312369 | − | 0.949961i | \(-0.398878\pi\) | |||||||
\(948\) | −0.702444 | + | 1.21667i | −0.0228143 | + | 0.0395156i | ||||
\(949\) | −35.2444 | + | 61.0452i | −1.14408 | + | 1.98161i | ||||
\(950\) | 13.1513 | + | 22.7787i | 0.426684 | + | 0.739038i | ||||
\(951\) | −0.620579 | −0.0201237 | ||||||||
\(952\) | −3.42389 | + | 25.8738i | −0.110969 | + | 0.838576i | ||||
\(953\) | −50.6204 | −1.63976 | −0.819879 | − | 0.572537i | \(-0.805959\pi\) | ||||
−0.819879 | + | 0.572537i | \(0.805959\pi\) | |||||||
\(954\) | −25.9702 | − | 44.9816i | −0.840815 | − | 1.45633i | ||||
\(955\) | 1.08639 | − | 1.88169i | 0.0351548 | − | 0.0608899i | ||||
\(956\) | −9.02719 | + | 15.6356i | −0.291960 | + | 0.505690i | ||||
\(957\) | 1.87701 | + | 3.25107i | 0.0606750 | + | 0.105092i | ||||
\(958\) | −46.6049 | −1.50574 | ||||||||
\(959\) | 0.0598590 | − | 0.452346i | 0.00193295 | − | 0.0146070i | ||||
\(960\) | −0.616404 | −0.0198944 | ||||||||
\(961\) | 9.70136 | + | 16.8032i | 0.312947 | + | 0.542040i | ||||
\(962\) | −32.6975 | + | 56.6338i | −1.05421 | + | 1.82595i | ||||
\(963\) | 17.2930 | − | 29.9524i | 0.557259 | − | 0.965202i | ||||
\(964\) | 6.74589 | + | 11.6842i | 0.217271 | + | 0.376324i | ||||
\(965\) | 7.05860 | 0.227224 | ||||||||
\(966\) | −2.90653 | − | 2.23334i | −0.0935160 | − | 0.0718564i | ||||
\(967\) | 56.5914 | 1.81986 | 0.909928 | − | 0.414766i | \(-0.136137\pi\) | ||||
0.909928 | + | 0.414766i | \(0.136137\pi\) | |||||||
\(968\) | −1.37850 | − | 2.38764i | −0.0443068 | − | 0.0767416i | ||||
\(969\) | −2.05049 | + | 3.55155i | −0.0658712 | + | 0.114092i | ||||
\(970\) | 15.3365 | − | 26.5636i | 0.492425 | − | 0.852905i | ||||
\(971\) | 18.6801 | + | 32.3549i | 0.599473 | + | 1.03832i | 0.992899 | + | 0.118962i | \(0.0379566\pi\) |
−0.393425 | + | 0.919357i | \(0.628710\pi\) | |||||||
\(972\) | −4.43608 | −0.142287 | ||||||||
\(973\) | 21.5093 | − | 8.89266i | 0.689556 | − | 0.285086i | ||||
\(974\) | −30.5890 | −0.980134 | ||||||||
\(975\) | 2.45653 | + | 4.25483i | 0.0786718 | + | 0.136264i | ||||
\(976\) | 7.94772 | − | 13.7659i | 0.254400 | − | 0.440634i | ||||
\(977\) | 2.59379 | − | 4.49257i | 0.0829826 | − | 0.143730i | −0.821547 | − | 0.570141i | \(-0.806889\pi\) |
0.904530 | + | 0.426410i | \(0.140222\pi\) | |||||||
\(978\) | −3.60938 | − | 6.25164i | −0.115415 | − | 0.199905i | ||||
\(979\) | −19.6242 | −0.627192 | ||||||||
\(980\) | 3.90485 | − | 3.89446i | 0.124736 | − | 0.124404i | ||||
\(981\) | −43.0094 | −1.37319 | ||||||||
\(982\) | −7.04195 | − | 12.1970i | −0.224718 | − | 0.389222i | ||||
\(983\) | 23.1340 | − | 40.0693i | 0.737860 | − | 1.27801i | −0.215597 | − | 0.976482i | \(-0.569170\pi\) |
0.953457 | − | 0.301529i | \(-0.0974969\pi\) | |||||||
\(984\) | 0.216466 | − | 0.374931i | 0.00690070 | − | 0.0119524i | ||||
\(985\) | 4.75284 | + | 8.23217i | 0.151438 | + | 0.262299i | ||||
\(986\) | 40.6050 | 1.29313 | ||||||||
\(987\) | −3.08765 | + | 1.27654i | −0.0982811 | + | 0.0406327i | ||||
\(988\) | 17.8547 | 0.568034 | ||||||||
\(989\) | −3.64371 | − | 6.31108i | −0.115863 | − | 0.200681i | ||||
\(990\) | 8.69608 | − | 15.0621i | 0.276380 | − | 0.478704i | ||||
\(991\) | −8.46781 | + | 14.6667i | −0.268989 | + | 0.465902i | −0.968601 | − | 0.248621i | \(-0.920023\pi\) |
0.699612 | + | 0.714523i | \(0.253356\pi\) | |||||||
\(992\) | −7.17342 | − | 12.4247i | −0.227756 | − | 0.394485i | ||||
\(993\) | −0.994014 | −0.0315441 | ||||||||
\(994\) | −44.5922 | − | 34.2640i | −1.41438 | − | 1.08679i | ||||
\(995\) | 3.56940 | 0.113158 | ||||||||
\(996\) | −1.25564 | − | 2.17483i | −0.0397864 | − | 0.0689120i | ||||
\(997\) | 11.1719 | − | 19.3503i | 0.353818 | − | 0.612831i | −0.633097 | − | 0.774073i | \(-0.718217\pi\) |
0.986915 | + | 0.161242i | \(0.0515499\pi\) | |||||||
\(998\) | 5.27395 | − | 9.13474i | 0.166944 | − | 0.289155i | ||||
\(999\) | −4.32412 | − | 7.48959i | −0.136809 | − | 0.236960i |
(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 | 287.2.e.d.165.13 | ✓ | 34 | |
7.2 | even | 3 | inner | 287.2.e.d.247.13 | yes | 34 | |
7.3 | odd | 6 | 2009.2.a.r.1.5 | 17 | |||
7.4 | even | 3 | 2009.2.a.s.1.5 | 17 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.e.d.165.13 | ✓ | 34 | 1.1 | even | 1 | trivial | |
287.2.e.d.247.13 | yes | 34 | 7.2 | even | 3 | inner | |
2009.2.a.r.1.5 | 17 | 7.3 | odd | 6 | |||
2009.2.a.s.1.5 | 17 | 7.4 | even | 3 |