Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(401,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 0, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.401");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.v (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(20\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 401.7 | ||
Character | \(\chi\) | \(=\) | 930.401 |
Dual form | 930.2.v.a.821.7 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.587785 | + | 0.809017i | −0.415627 | + | 0.572061i | ||||
\(3\) | 1.13234 | − | 1.31065i | 0.653755 | − | 0.756706i | ||||
\(4\) | −0.309017 | − | 0.951057i | −0.154508 | − | 0.475528i | ||||
\(5\) | − | 1.00000i | − | 0.447214i | ||||||
\(6\) | 0.394770 | + | 1.68646i | 0.161164 | + | 0.688496i | ||||
\(7\) | 0.208734 | + | 0.642416i | 0.0788938 | + | 0.242810i | 0.982723 | − | 0.185084i | \(-0.0592556\pi\) |
−0.903829 | + | 0.427894i | \(0.859256\pi\) | |||||||
\(8\) | 0.951057 | + | 0.309017i | 0.336249 | + | 0.109254i | ||||
\(9\) | −0.435626 | − | 2.96820i | −0.145209 | − | 0.989401i | ||||
\(10\) | 0.809017 | + | 0.587785i | 0.255834 | + | 0.185874i | ||||
\(11\) | −0.449310 | − | 1.38283i | −0.135472 | − | 0.416940i | 0.860191 | − | 0.509972i | \(-0.170344\pi\) |
−0.995663 | + | 0.0930316i | \(0.970344\pi\) | |||||||
\(12\) | −1.59642 | − | 0.671902i | −0.460846 | − | 0.193961i | ||||
\(13\) | −0.843769 | − | 1.16135i | −0.234019 | − | 0.322100i | 0.675815 | − | 0.737071i | \(-0.263792\pi\) |
−0.909835 | + | 0.414971i | \(0.863792\pi\) | |||||||
\(14\) | −0.642416 | − | 0.208734i | −0.171693 | − | 0.0557864i | ||||
\(15\) | −1.31065 | − | 1.13234i | −0.338409 | − | 0.292368i | ||||
\(16\) | −0.809017 | + | 0.587785i | −0.202254 | + | 0.146946i | ||||
\(17\) | 0.380979 | − | 1.17253i | 0.0924011 | − | 0.284381i | −0.894167 | − | 0.447734i | \(-0.852231\pi\) |
0.986568 | + | 0.163353i | \(0.0522310\pi\) | |||||||
\(18\) | 2.65738 | + | 1.39224i | 0.626351 | + | 0.328153i | ||||
\(19\) | −0.600732 | − | 0.436457i | −0.137817 | − | 0.100130i | 0.516741 | − | 0.856142i | \(-0.327145\pi\) |
−0.654558 | + | 0.756012i | \(0.727145\pi\) | |||||||
\(20\) | −0.951057 | + | 0.309017i | −0.212663 | + | 0.0690983i | ||||
\(21\) | 1.07834 | + | 0.453854i | 0.235313 | + | 0.0990390i | ||||
\(22\) | 1.38283 | + | 0.449310i | 0.294821 | + | 0.0957933i | ||||
\(23\) | 1.98014 | − | 6.09424i | 0.412888 | − | 1.27074i | −0.501239 | − | 0.865309i | \(-0.667122\pi\) |
0.914127 | − | 0.405429i | \(-0.132878\pi\) | |||||||
\(24\) | 1.48193 | − | 0.896594i | 0.302498 | − | 0.183017i | ||||
\(25\) | −1.00000 | −0.200000 | ||||||||
\(26\) | 1.43551 | 0.281526 | ||||||||
\(27\) | −4.38356 | − | 2.79005i | −0.843617 | − | 0.536946i | ||||
\(28\) | 0.546471 | − | 0.397035i | 0.103273 | − | 0.0750325i | ||||
\(29\) | −3.36320 | − | 2.44350i | −0.624530 | − | 0.453747i | 0.229971 | − | 0.973197i | \(-0.426137\pi\) |
−0.854501 | + | 0.519450i | \(0.826137\pi\) | |||||||
\(30\) | 1.68646 | − | 0.394770i | 0.307905 | − | 0.0720748i | ||||
\(31\) | 0.503674 | + | 5.54494i | 0.0904626 | + | 0.995900i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | −2.32119 | − | 0.976945i | −0.404067 | − | 0.170064i | ||||
\(34\) | 0.724666 | + | 0.997417i | 0.124279 | + | 0.171056i | ||||
\(35\) | 0.642416 | − | 0.208734i | 0.108588 | − | 0.0352824i | ||||
\(36\) | −2.68831 | + | 1.33153i | −0.448052 | + | 0.221922i | ||||
\(37\) | 4.89060i | 0.804010i | 0.915637 | + | 0.402005i | \(0.131687\pi\) | ||||
−0.915637 | + | 0.402005i | \(0.868313\pi\) | |||||||
\(38\) | 0.706203 | − | 0.229459i | 0.114561 | − | 0.0372232i | ||||
\(39\) | −2.47756 | − | 0.209149i | −0.396726 | − | 0.0334906i | ||||
\(40\) | 0.309017 | − | 0.951057i | 0.0488599 | − | 0.150375i | ||||
\(41\) | 1.93003 | − | 2.65646i | 0.301421 | − | 0.414870i | −0.631261 | − | 0.775570i | \(-0.717462\pi\) |
0.932682 | + | 0.360700i | \(0.117462\pi\) | |||||||
\(42\) | −1.00101 | + | 0.605628i | −0.154459 | + | 0.0934504i | ||||
\(43\) | −0.0895077 | + | 0.123197i | −0.0136498 | + | 0.0187873i | −0.815787 | − | 0.578352i | \(-0.803696\pi\) |
0.802138 | + | 0.597139i | \(0.203696\pi\) | |||||||
\(44\) | −1.17631 | + | 0.854639i | −0.177335 | + | 0.128842i | ||||
\(45\) | −2.96820 | + | 0.435626i | −0.442474 | + | 0.0649393i | ||||
\(46\) | 3.76645 | + | 5.18407i | 0.555333 | + | 0.764350i | ||||
\(47\) | −5.18784 | − | 7.14046i | −0.756725 | − | 1.04154i | −0.997479 | − | 0.0709564i | \(-0.977395\pi\) |
0.240755 | − | 0.970586i | \(-0.422605\pi\) | |||||||
\(48\) | −0.145697 | + | 1.72591i | −0.0210295 | + | 0.249114i | ||||
\(49\) | 5.29399 | − | 3.84631i | 0.756284 | − | 0.549473i | ||||
\(50\) | 0.587785 | − | 0.809017i | 0.0831254 | − | 0.114412i | ||||
\(51\) | −1.10539 | − | 1.82704i | −0.154785 | − | 0.255836i | ||||
\(52\) | −0.843769 | + | 1.16135i | −0.117010 | + | 0.161050i | ||||
\(53\) | 1.25122 | − | 3.85086i | 0.171868 | − | 0.528957i | −0.827608 | − | 0.561306i | \(-0.810299\pi\) |
0.999477 | + | 0.0323496i | \(0.0102990\pi\) | |||||||
\(54\) | 4.83379 | − | 1.90643i | 0.657796 | − | 0.259432i | ||||
\(55\) | −1.38283 | + | 0.449310i | −0.186461 | + | 0.0605850i | ||||
\(56\) | 0.675476i | 0.0902643i | ||||||||
\(57\) | −1.25228 | + | 0.293135i | −0.165868 | + | 0.0388267i | ||||
\(58\) | 3.95367 | − | 1.28463i | 0.519143 | − | 0.168680i | ||||
\(59\) | −3.93956 | − | 5.42234i | −0.512887 | − | 0.705928i | 0.471516 | − | 0.881857i | \(-0.343707\pi\) |
−0.984403 | + | 0.175929i | \(0.943707\pi\) | |||||||
\(60\) | −0.671902 | + | 1.59642i | −0.0867422 | + | 0.206097i | ||||
\(61\) | 0.125726i | 0.0160976i | 0.999968 | + | 0.00804879i | \(0.00256204\pi\) | ||||
−0.999968 | + | 0.00804879i | \(0.997438\pi\) | |||||||
\(62\) | −4.78200 | − | 2.85175i | −0.607315 | − | 0.362173i | ||||
\(63\) | 1.81589 | − | 0.899416i | 0.228781 | − | 0.113316i | ||||
\(64\) | 0.809017 | + | 0.587785i | 0.101127 | + | 0.0734732i | ||||
\(65\) | −1.16135 | + | 0.843769i | −0.144048 | + | 0.104657i | ||||
\(66\) | 2.15472 | − | 1.30365i | 0.265228 | − | 0.160468i | ||||
\(67\) | −6.15728 | −0.752232 | −0.376116 | − | 0.926573i | \(-0.622741\pi\) | ||||
−0.376116 | + | 0.926573i | \(0.622741\pi\) | |||||||
\(68\) | −1.23288 | −0.149508 | ||||||||
\(69\) | −5.74526 | − | 9.49601i | −0.691648 | − | 1.14319i | ||||
\(70\) | −0.208734 | + | 0.642416i | −0.0249484 | + | 0.0767834i | ||||
\(71\) | 1.87903 | + | 0.610533i | 0.222999 | + | 0.0724569i | 0.418386 | − | 0.908269i | \(-0.362596\pi\) |
−0.195386 | + | 0.980726i | \(0.562596\pi\) | |||||||
\(72\) | 0.502920 | − | 2.95754i | 0.0592697 | − | 0.348550i | ||||
\(73\) | −5.80428 | + | 1.88593i | −0.679340 | + | 0.220731i | −0.628306 | − | 0.777966i | \(-0.716252\pi\) |
−0.0510336 | + | 0.998697i | \(0.516252\pi\) | |||||||
\(74\) | −3.95658 | − | 2.87462i | −0.459943 | − | 0.334168i | ||||
\(75\) | −1.13234 | + | 1.31065i | −0.130751 | + | 0.151341i | ||||
\(76\) | −0.229459 | + | 0.706203i | −0.0263208 | + | 0.0810070i | ||||
\(77\) | 0.794569 | − | 0.577288i | 0.0905495 | − | 0.0657881i | ||||
\(78\) | 1.62548 | − | 1.88145i | 0.184049 | − | 0.213032i | ||||
\(79\) | 5.83191 | + | 1.89490i | 0.656141 | + | 0.213193i | 0.618120 | − | 0.786084i | \(-0.287895\pi\) |
0.0380212 | + | 0.999277i | \(0.487895\pi\) | |||||||
\(80\) | 0.587785 | + | 0.809017i | 0.0657164 | + | 0.0904508i | ||||
\(81\) | −8.62046 | + | 2.58605i | −0.957829 | + | 0.287339i | ||||
\(82\) | 1.01468 | + | 3.12286i | 0.112053 | + | 0.344862i | ||||
\(83\) | −0.440780 | − | 0.320246i | −0.0483819 | − | 0.0351515i | 0.563331 | − | 0.826231i | \(-0.309519\pi\) |
−0.611713 | + | 0.791079i | \(0.709519\pi\) | |||||||
\(84\) | 0.0984147 | − | 1.16581i | 0.0107379 | − | 0.127200i | ||||
\(85\) | −1.17253 | − | 0.380979i | −0.127179 | − | 0.0413230i | ||||
\(86\) | −0.0470570 | − | 0.144826i | −0.00507428 | − | 0.0156170i | ||||
\(87\) | −7.01086 | + | 1.64111i | −0.751643 | + | 0.175946i | ||||
\(88\) | − | 1.45400i | − | 0.154997i | ||||||
\(89\) | −0.767608 | − | 2.36245i | −0.0813663 | − | 0.250420i | 0.902095 | − | 0.431537i | \(-0.142029\pi\) |
−0.983461 | + | 0.181117i | \(0.942029\pi\) | |||||||
\(90\) | 1.39224 | − | 2.65738i | 0.146755 | − | 0.280113i | ||||
\(91\) | 0.569945 | − | 0.784463i | 0.0597465 | − | 0.0822340i | ||||
\(92\) | −6.40787 | −0.668066 | ||||||||
\(93\) | 7.83782 | + | 5.61859i | 0.812744 | + | 0.582621i | ||||
\(94\) | 8.82609 | 0.910341 | ||||||||
\(95\) | −0.436457 | + | 0.600732i | −0.0447796 | + | 0.0616338i | ||||
\(96\) | −1.31065 | − | 1.13234i | −0.133768 | − | 0.115569i | ||||
\(97\) | −1.43029 | − | 4.40198i | −0.145224 | − | 0.446954i | 0.851816 | − | 0.523842i | \(-0.175502\pi\) |
−0.997040 | + | 0.0768879i | \(0.975502\pi\) | |||||||
\(98\) | 6.54373i | 0.661017i | ||||||||
\(99\) | −3.90880 | + | 1.93604i | −0.392849 | + | 0.194580i | ||||
\(100\) | 0.309017 | + | 0.951057i | 0.0309017 | + | 0.0951057i | ||||
\(101\) | 10.5068 | + | 3.41386i | 1.04546 | + | 0.339691i | 0.780886 | − | 0.624673i | \(-0.214768\pi\) |
0.264577 | + | 0.964365i | \(0.414768\pi\) | |||||||
\(102\) | 2.12783 | + | 0.179626i | 0.210687 | + | 0.0177856i | ||||
\(103\) | 10.2813 | + | 7.46983i | 1.01305 | + | 0.736024i | 0.964847 | − | 0.262814i | \(-0.0846504\pi\) |
0.0482034 | + | 0.998838i | \(0.484650\pi\) | |||||||
\(104\) | −0.443596 | − | 1.36525i | −0.0434981 | − | 0.133873i | ||||
\(105\) | 0.453854 | − | 1.07834i | 0.0442916 | − | 0.105235i | ||||
\(106\) | 2.37996 | + | 3.27574i | 0.231163 | + | 0.318168i | ||||
\(107\) | 4.94380 | + | 1.60634i | 0.477935 | + | 0.155291i | 0.538071 | − | 0.842900i | \(-0.319153\pi\) |
−0.0601355 | + | 0.998190i | \(0.519153\pi\) | |||||||
\(108\) | −1.29890 | + | 5.03119i | −0.124987 | + | 0.484126i | ||||
\(109\) | 6.06305 | − | 4.40507i | 0.580735 | − | 0.421929i | −0.258254 | − | 0.966077i | \(-0.583147\pi\) |
0.838989 | + | 0.544148i | \(0.183147\pi\) | |||||||
\(110\) | 0.449310 | − | 1.38283i | 0.0428401 | − | 0.131848i | ||||
\(111\) | 6.40989 | + | 5.53781i | 0.608400 | + | 0.525626i | ||||
\(112\) | −0.546471 | − | 0.397035i | −0.0516367 | − | 0.0375163i | ||||
\(113\) | 2.85638 | − | 0.928094i | 0.268706 | − | 0.0873077i | −0.171565 | − | 0.985173i | \(-0.554882\pi\) |
0.440271 | + | 0.897865i | \(0.354882\pi\) | |||||||
\(114\) | 0.498918 | − | 1.18541i | 0.0467280 | − | 0.111024i | ||||
\(115\) | −6.09424 | − | 1.98014i | −0.568291 | − | 0.184649i | ||||
\(116\) | −1.28463 | + | 3.95367i | −0.119275 | + | 0.367089i | ||||
\(117\) | −3.07955 | + | 3.01039i | −0.284704 | + | 0.278311i | ||||
\(118\) | 6.70238 | 0.617004 | ||||||||
\(119\) | 0.832777 | 0.0763406 | ||||||||
\(120\) | −0.896594 | − | 1.48193i | −0.0818475 | − | 0.135281i | ||||
\(121\) | 7.18883 | − | 5.22299i | 0.653530 | − | 0.474818i | ||||
\(122\) | −0.101715 | − | 0.0739000i | −0.00920881 | − | 0.00669059i | ||||
\(123\) | −1.29626 | − | 5.53762i | −0.116879 | − | 0.499310i | ||||
\(124\) | 5.11790 | − | 2.19250i | 0.459601 | − | 0.196893i | ||||
\(125\) | 1.00000i | 0.0894427i | ||||||||
\(126\) | −0.339710 | + | 1.99775i | −0.0302638 | + | 0.177974i | ||||
\(127\) | −3.49996 | − | 4.81728i | −0.310571 | − | 0.427465i | 0.624988 | − | 0.780634i | \(-0.285104\pi\) |
−0.935559 | + | 0.353170i | \(0.885104\pi\) | |||||||
\(128\) | −0.951057 | + | 0.309017i | −0.0840623 | + | 0.0273135i | ||||
\(129\) | 0.0601154 | + | 0.256814i | 0.00529287 | + | 0.0226112i | ||||
\(130\) | − | 1.43551i | − | 0.125902i | ||||||
\(131\) | 17.5812 | − | 5.71248i | 1.53608 | − | 0.499102i | 0.585787 | − | 0.810465i | \(-0.300786\pi\) |
0.950291 | + | 0.311364i | \(0.100786\pi\) | |||||||
\(132\) | −0.211843 | + | 2.50947i | −0.0184386 | + | 0.218422i | ||||
\(133\) | 0.154994 | − | 0.477023i | 0.0134397 | − | 0.0413631i | ||||
\(134\) | 3.61916 | − | 4.98134i | 0.312648 | − | 0.430323i | ||||
\(135\) | −2.79005 | + | 4.38356i | −0.240129 | + | 0.377277i | ||||
\(136\) | 0.724666 | − | 0.997417i | 0.0621396 | − | 0.0855278i | ||||
\(137\) | −0.605625 | + | 0.440012i | −0.0517420 | + | 0.0375928i | −0.613356 | − | 0.789807i | \(-0.710181\pi\) |
0.561614 | + | 0.827400i | \(0.310181\pi\) | |||||||
\(138\) | 11.0594 | + | 0.933606i | 0.941440 | + | 0.0794739i | ||||
\(139\) | 6.88593 | + | 9.47767i | 0.584057 | + | 0.803885i | 0.994133 | − | 0.108166i | \(-0.0344979\pi\) |
−0.410076 | + | 0.912051i | \(0.634498\pi\) | |||||||
\(140\) | −0.397035 | − | 0.546471i | −0.0335556 | − | 0.0461853i | ||||
\(141\) | −15.2331 | − | 1.28593i | −1.28285 | − | 0.108295i | ||||
\(142\) | −1.59840 | + | 1.16130i | −0.134134 | + | 0.0974543i | ||||
\(143\) | −1.22684 | + | 1.68860i | −0.102593 | + | 0.141208i | ||||
\(144\) | 2.09709 | + | 2.14527i | 0.174758 | + | 0.178773i | ||||
\(145\) | −2.44350 | + | 3.36320i | −0.202922 | + | 0.279298i | ||||
\(146\) | 1.88593 | − | 5.80428i | 0.156080 | − | 0.480366i | ||||
\(147\) | 0.953402 | − | 11.2939i | 0.0786352 | − | 0.931506i | ||||
\(148\) | 4.65124 | − | 1.51128i | 0.382330 | − | 0.124226i | ||||
\(149\) | 21.6921i | 1.77709i | 0.458792 | + | 0.888544i | \(0.348282\pi\) | ||||
−0.458792 | + | 0.888544i | \(0.651718\pi\) | |||||||
\(150\) | −0.394770 | − | 1.68646i | −0.0322328 | − | 0.137699i | ||||
\(151\) | 7.93049 | − | 2.57677i | 0.645374 | − | 0.209695i | 0.0320009 | − | 0.999488i | \(-0.489812\pi\) |
0.613374 | + | 0.789793i | \(0.289812\pi\) | |||||||
\(152\) | −0.436457 | − | 0.600732i | −0.0354014 | − | 0.0487258i | ||||
\(153\) | −3.64628 | − | 0.620038i | −0.294785 | − | 0.0501271i | ||||
\(154\) | 0.982141i | 0.0791432i | ||||||||
\(155\) | 5.54494 | − | 0.503674i | 0.445380 | − | 0.0404561i | ||||
\(156\) | 0.566695 | + | 2.42093i | 0.0453719 | + | 0.193829i | ||||
\(157\) | −5.16213 | − | 3.75051i | −0.411983 | − | 0.299323i | 0.362421 | − | 0.932014i | \(-0.381950\pi\) |
−0.774404 | + | 0.632691i | \(0.781950\pi\) | |||||||
\(158\) | −4.96092 | + | 3.60432i | −0.394670 | + | 0.286744i | ||||
\(159\) | −3.63034 | − | 6.00039i | −0.287905 | − | 0.475862i | ||||
\(160\) | −1.00000 | −0.0790569 | ||||||||
\(161\) | 4.32836 | 0.341122 | ||||||||
\(162\) | 2.97482 | − | 8.49414i | 0.233724 | − | 0.667363i | ||||
\(163\) | −6.48529 | + | 19.9597i | −0.507967 | + | 1.56336i | 0.287756 | + | 0.957704i | \(0.407091\pi\) |
−0.795724 | + | 0.605659i | \(0.792909\pi\) | |||||||
\(164\) | −3.12286 | − | 1.01468i | −0.243855 | − | 0.0792331i | ||||
\(165\) | −0.976945 | + | 2.32119i | −0.0760550 | + | 0.180704i | ||||
\(166\) | 0.518168 | − | 0.168363i | 0.0402177 | − | 0.0130675i | ||||
\(167\) | 3.00954 | + | 2.18656i | 0.232886 | + | 0.169201i | 0.698108 | − | 0.715993i | \(-0.254026\pi\) |
−0.465222 | + | 0.885194i | \(0.654026\pi\) | |||||||
\(168\) | 0.885315 | + | 0.764866i | 0.0683035 | + | 0.0590107i | ||||
\(169\) | 3.38044 | − | 10.4039i | 0.260034 | − | 0.800301i | ||||
\(170\) | 0.997417 | − | 0.724666i | 0.0764984 | − | 0.0555793i | ||||
\(171\) | −1.03380 | + | 1.97323i | −0.0790566 | + | 0.150896i | ||||
\(172\) | 0.144826 | + | 0.0470570i | 0.0110429 | + | 0.00358806i | ||||
\(173\) | 0.815807 | + | 1.12286i | 0.0620246 | + | 0.0853696i | 0.838902 | − | 0.544282i | \(-0.183198\pi\) |
−0.776878 | + | 0.629651i | \(0.783198\pi\) | |||||||
\(174\) | 2.79319 | − | 6.63653i | 0.211751 | − | 0.503114i | ||||
\(175\) | −0.208734 | − | 0.642416i | −0.0157788 | − | 0.0485621i | ||||
\(176\) | 1.17631 | + | 0.854639i | 0.0886677 | + | 0.0644208i | ||||
\(177\) | −11.5677 | − | 0.976516i | −0.869482 | − | 0.0733994i | ||||
\(178\) | 2.36245 | + | 0.767608i | 0.177073 | + | 0.0575346i | ||||
\(179\) | 7.66133 | + | 23.5792i | 0.572635 | + | 1.76239i | 0.644094 | + | 0.764946i | \(0.277234\pi\) |
−0.0714594 | + | 0.997444i | \(0.522766\pi\) | |||||||
\(180\) | 1.33153 | + | 2.68831i | 0.0992464 | + | 0.200375i | ||||
\(181\) | 3.46365i | 0.257451i | 0.991680 | + | 0.128726i | \(0.0410886\pi\) | ||||
−0.991680 | + | 0.128726i | \(0.958911\pi\) | |||||||
\(182\) | 0.299638 | + | 0.922191i | 0.0222107 | + | 0.0683574i | ||||
\(183\) | 0.164783 | + | 0.142364i | 0.0121811 | + | 0.0105239i | ||||
\(184\) | 3.76645 | − | 5.18407i | 0.277666 | − | 0.382175i | ||||
\(185\) | 4.89060 | 0.359564 | ||||||||
\(186\) | −9.15249 | + | 3.03840i | −0.671093 | + | 0.222787i | ||||
\(187\) | −1.79260 | −0.131088 | ||||||||
\(188\) | −5.18784 | + | 7.14046i | −0.378362 | + | 0.520771i | ||||
\(189\) | 0.877376 | − | 3.39845i | 0.0638197 | − | 0.247201i | ||||
\(190\) | −0.229459 | − | 0.706203i | −0.0166467 | − | 0.0512333i | ||||
\(191\) | 5.11410i | 0.370043i | 0.982734 | + | 0.185022i | \(0.0592355\pi\) | ||||
−0.982734 | + | 0.185022i | \(0.940764\pi\) | |||||||
\(192\) | 1.68646 | − | 0.394770i | 0.121710 | − | 0.0284901i | ||||
\(193\) | −5.44011 | − | 16.7430i | −0.391588 | − | 1.20518i | −0.931587 | − | 0.363518i | \(-0.881575\pi\) |
0.539999 | − | 0.841666i | \(-0.318425\pi\) | |||||||
\(194\) | 4.40198 | + | 1.43029i | 0.316044 | + | 0.102689i | ||||
\(195\) | −0.209149 | + | 2.47756i | −0.0149775 | + | 0.177421i | ||||
\(196\) | −5.29399 | − | 3.84631i | −0.378142 | − | 0.274736i | ||||
\(197\) | 0.111583 | + | 0.343418i | 0.00794998 | + | 0.0244675i | 0.954953 | − | 0.296758i | \(-0.0959054\pi\) |
−0.947003 | + | 0.321225i | \(0.895905\pi\) | |||||||
\(198\) | 0.731245 | − | 4.30027i | 0.0519673 | − | 0.305607i | ||||
\(199\) | 10.3604 | + | 14.2598i | 0.734427 | + | 1.01085i | 0.998920 | + | 0.0464642i | \(0.0147953\pi\) |
−0.264493 | + | 0.964388i | \(0.585205\pi\) | |||||||
\(200\) | −0.951057 | − | 0.309017i | −0.0672499 | − | 0.0218508i | ||||
\(201\) | −6.97212 | + | 8.07006i | −0.491775 | + | 0.569218i | ||||
\(202\) | −8.93759 | + | 6.49354i | −0.628847 | + | 0.456884i | ||||
\(203\) | 0.867734 | − | 2.67061i | 0.0609030 | − | 0.187440i | ||||
\(204\) | −1.39603 | + | 1.61587i | −0.0977417 | + | 0.113134i | ||||
\(205\) | −2.65646 | − | 1.93003i | −0.185536 | − | 0.134799i | ||||
\(206\) | −12.0864 | + | 3.92712i | −0.842102 | + | 0.273615i | ||||
\(207\) | −18.9516 | − | 3.22265i | −1.31722 | − | 0.223989i | ||||
\(208\) | 1.36525 | + | 0.443596i | 0.0946628 | + | 0.0307578i | ||||
\(209\) | −0.333633 | + | 1.02682i | −0.0230779 | + | 0.0710265i | ||||
\(210\) | 0.605628 | + | 1.00101i | 0.0417923 | + | 0.0690761i | ||||
\(211\) | 7.69073 | 0.529452 | 0.264726 | − | 0.964324i | \(-0.414719\pi\) | ||||
0.264726 | + | 0.964324i | \(0.414719\pi\) | |||||||
\(212\) | −4.04904 | −0.278089 | ||||||||
\(213\) | 2.92789 | − | 1.77142i | 0.200616 | − | 0.121376i | ||||
\(214\) | −4.20545 | + | 3.05544i | −0.287479 | + | 0.208865i | ||||
\(215\) | 0.123197 | + | 0.0895077i | 0.00840195 | + | 0.00610437i | ||||
\(216\) | −3.30684 | − | 4.00809i | −0.225002 | − | 0.272716i | ||||
\(217\) | −3.45702 | + | 1.48098i | −0.234678 | + | 0.100536i | ||||
\(218\) | 7.49434i | 0.507581i | ||||||||
\(219\) | −4.10061 | + | 9.74291i | −0.277093 | + | 0.658365i | ||||
\(220\) | 0.854639 | + | 1.17631i | 0.0576197 | + | 0.0793068i | ||||
\(221\) | −1.68318 | + | 0.546898i | −0.113223 | + | 0.0367883i | ||||
\(222\) | −8.24782 | + | 1.93066i | −0.553557 | + | 0.129578i | ||||
\(223\) | 4.74825i | 0.317966i | 0.987281 | + | 0.158983i | \(0.0508216\pi\) | ||||
−0.987281 | + | 0.158983i | \(0.949178\pi\) | |||||||
\(224\) | 0.642416 | − | 0.208734i | 0.0429232 | − | 0.0139466i | ||||
\(225\) | 0.435626 | + | 2.96820i | 0.0290417 | + | 0.197880i | ||||
\(226\) | −0.928094 | + | 2.85638i | −0.0617359 | + | 0.190004i | ||||
\(227\) | −10.2975 | + | 14.1733i | −0.683467 | + | 0.940712i | −0.999969 | − | 0.00787995i | \(-0.997492\pi\) |
0.316502 | + | 0.948592i | \(0.397492\pi\) | |||||||
\(228\) | 0.665762 | + | 1.10040i | 0.0440912 | + | 0.0728758i | ||||
\(229\) | 1.79685 | − | 2.47315i | 0.118739 | − | 0.163431i | −0.745510 | − | 0.666494i | \(-0.767794\pi\) |
0.864249 | + | 0.503064i | \(0.167794\pi\) | |||||||
\(230\) | 5.18407 | − | 3.76645i | 0.341828 | − | 0.248352i | ||||
\(231\) | 0.143095 | − | 1.69509i | 0.00941495 | − | 0.111529i | ||||
\(232\) | −2.44350 | − | 3.36320i | −0.160424 | − | 0.220805i | ||||
\(233\) | −8.82310 | − | 12.1440i | −0.578021 | − | 0.795577i | 0.415456 | − | 0.909613i | \(-0.363622\pi\) |
−0.993477 | + | 0.114036i | \(0.963622\pi\) | |||||||
\(234\) | −0.625344 | − | 4.26087i | −0.0408800 | − | 0.278542i | ||||
\(235\) | −7.14046 | + | 5.18784i | −0.465792 | + | 0.338418i | ||||
\(236\) | −3.93956 | + | 5.42234i | −0.256443 | + | 0.352964i | ||||
\(237\) | 9.08725 | − | 5.49795i | 0.590280 | − | 0.357130i | ||||
\(238\) | −0.489494 | + | 0.673731i | −0.0317292 | + | 0.0436715i | ||||
\(239\) | −7.03734 | + | 21.6587i | −0.455208 | + | 1.40099i | 0.415683 | + | 0.909509i | \(0.363542\pi\) |
−0.870891 | + | 0.491476i | \(0.836458\pi\) | |||||||
\(240\) | 1.72591 | + | 0.145697i | 0.111407 | + | 0.00940470i | ||||
\(241\) | 3.37816 | − | 1.09763i | 0.217606 | − | 0.0707046i | −0.198185 | − | 0.980165i | \(-0.563505\pi\) |
0.415791 | + | 0.909460i | \(0.363505\pi\) | |||||||
\(242\) | 8.88589i | 0.571207i | ||||||||
\(243\) | −6.37184 | + | 14.2267i | −0.408754 | + | 0.912645i | ||||
\(244\) | 0.119573 | − | 0.0388515i | 0.00765486 | − | 0.00248721i | ||||
\(245\) | −3.84631 | − | 5.29399i | −0.245732 | − | 0.338221i | ||||
\(246\) | 5.24195 | + | 2.20624i | 0.334214 | + | 0.140665i | ||||
\(247\) | 1.06593i | 0.0678234i | ||||||||
\(248\) | −1.23446 | + | 5.42919i | −0.0783881 | + | 0.344754i | ||||
\(249\) | −0.918843 | + | 0.215084i | −0.0582293 | + | 0.0136304i | ||||
\(250\) | −0.809017 | − | 0.587785i | −0.0511667 | − | 0.0371748i | ||||
\(251\) | 12.2543 | − | 8.90328i | 0.773485 | − | 0.561970i | −0.129531 | − | 0.991575i | \(-0.541347\pi\) |
0.903017 | + | 0.429605i | \(0.141347\pi\) | |||||||
\(252\) | −1.41654 | − | 1.44908i | −0.0892334 | − | 0.0912834i | ||||
\(253\) | −9.31703 | −0.585757 | ||||||||
\(254\) | 5.95449 | 0.373618 | ||||||||
\(255\) | −1.82704 | + | 1.10539i | −0.114413 | + | 0.0692221i | ||||
\(256\) | 0.309017 | − | 0.951057i | 0.0193136 | − | 0.0594410i | ||||
\(257\) | −15.0377 | − | 4.88604i | −0.938025 | − | 0.304783i | −0.200185 | − | 0.979758i | \(-0.564154\pi\) |
−0.737840 | + | 0.674975i | \(0.764154\pi\) | |||||||
\(258\) | −0.243102 | − | 0.102317i | −0.0151348 | − | 0.00636997i | ||||
\(259\) | −3.14180 | + | 1.02083i | −0.195222 | + | 0.0634315i | ||||
\(260\) | 1.16135 | + | 0.843769i | 0.0720238 | + | 0.0523283i | ||||
\(261\) | −5.78772 | + | 11.0471i | −0.358251 | + | 0.683799i | ||||
\(262\) | −5.71248 | + | 17.5812i | −0.352918 | + | 1.08617i | ||||
\(263\) | 0.832004 | − | 0.604486i | 0.0513036 | − | 0.0372742i | −0.561838 | − | 0.827247i | \(-0.689906\pi\) |
0.613141 | + | 0.789973i | \(0.289906\pi\) | |||||||
\(264\) | −1.90569 | − | 1.64642i | −0.117287 | − | 0.101330i | ||||
\(265\) | −3.85086 | − | 1.25122i | −0.236557 | − | 0.0768619i | ||||
\(266\) | 0.294816 | + | 0.405780i | 0.0180764 | + | 0.0248800i | ||||
\(267\) | −3.96555 | − | 1.66903i | −0.242688 | − | 0.102143i | ||||
\(268\) | 1.90270 | + | 5.85592i | 0.116226 | + | 0.357707i | ||||
\(269\) | −0.178030 | − | 0.129346i | −0.0108547 | − | 0.00788637i | 0.582345 | − | 0.812942i | \(-0.302135\pi\) |
−0.593199 | + | 0.805056i | \(0.702135\pi\) | |||||||
\(270\) | −1.90643 | − | 4.83379i | −0.116021 | − | 0.294175i | ||||
\(271\) | 18.8372 | + | 6.12058i | 1.14428 | + | 0.371799i | 0.818986 | − | 0.573814i | \(-0.194537\pi\) |
0.325294 | + | 0.945613i | \(0.394537\pi\) | |||||||
\(272\) | 0.380979 | + | 1.17253i | 0.0231003 | + | 0.0710953i | ||||
\(273\) | −0.382789 | − | 1.63528i | −0.0231674 | − | 0.0989715i | ||||
\(274\) | − | 0.748593i | − | 0.0452242i | ||||||
\(275\) | 0.449310 | + | 1.38283i | 0.0270944 | + | 0.0833881i | ||||
\(276\) | −7.25586 | + | 8.39849i | −0.436752 | + | 0.505530i | ||||
\(277\) | −0.610742 | + | 0.840614i | −0.0366959 | + | 0.0505076i | −0.826971 | − | 0.562245i | \(-0.809938\pi\) |
0.790275 | + | 0.612753i | \(0.209938\pi\) | |||||||
\(278\) | −11.7150 | −0.702621 | ||||||||
\(279\) | 16.2391 | − | 3.91053i | 0.972208 | − | 0.234117i | ||||
\(280\) | 0.675476 | 0.0403674 | ||||||||
\(281\) | −1.60551 | + | 2.20979i | −0.0957765 | + | 0.131825i | −0.854216 | − | 0.519919i | \(-0.825962\pi\) |
0.758439 | + | 0.651744i | \(0.225962\pi\) | |||||||
\(282\) | 9.99411 | − | 11.5679i | 0.595140 | − | 0.688861i | ||||
\(283\) | −2.88850 | − | 8.88990i | −0.171704 | − | 0.528450i | 0.827764 | − | 0.561077i | \(-0.189613\pi\) |
−0.999468 | + | 0.0326269i | \(0.989613\pi\) | |||||||
\(284\) | − | 1.97573i | − | 0.117238i | ||||||
\(285\) | 0.293135 | + | 1.25228i | 0.0173638 | + | 0.0741784i | ||||
\(286\) | −0.644987 | − | 1.98507i | −0.0381389 | − | 0.117379i | ||||
\(287\) | 2.10942 | + | 0.685391i | 0.124515 | + | 0.0404574i | ||||
\(288\) | −2.96820 | + | 0.435626i | −0.174903 | + | 0.0256695i | ||||
\(289\) | 12.5236 | + | 9.09893i | 0.736682 | + | 0.535231i | ||||
\(290\) | −1.28463 | − | 3.95367i | −0.0754359 | − | 0.232168i | ||||
\(291\) | −7.38905 | − | 3.10991i | −0.433154 | − | 0.182306i | ||||
\(292\) | 3.58724 | + | 4.93742i | 0.209928 | + | 0.288941i | ||||
\(293\) | 21.8754 | + | 7.10774i | 1.27797 | + | 0.415239i | 0.867866 | − | 0.496799i | \(-0.165491\pi\) |
0.410107 | + | 0.912037i | \(0.365491\pi\) | |||||||
\(294\) | 8.57657 | + | 7.40971i | 0.500196 | + | 0.432143i | ||||
\(295\) | −5.42234 | + | 3.93956i | −0.315701 | + | 0.229370i | ||||
\(296\) | −1.51128 | + | 4.65124i | −0.0878413 | + | 0.270348i | ||||
\(297\) | −1.88860 | + | 7.31534i | −0.109588 | + | 0.424479i | ||||
\(298\) | −17.5493 | − | 12.7503i | −1.01660 | − | 0.738606i | ||||
\(299\) | −8.74832 | + | 2.84250i | −0.505928 | + | 0.164386i | ||||
\(300\) | 1.59642 | + | 0.671902i | 0.0921692 | + | 0.0387923i | ||||
\(301\) | −0.0978268 | − | 0.0317858i | −0.00563864 | − | 0.00183211i | ||||
\(302\) | −2.57677 | + | 7.93049i | −0.148277 | + | 0.456349i | ||||
\(303\) | 16.3716 | − | 9.90510i | 0.940523 | − | 0.569033i | ||||
\(304\) | 0.742546 | 0.0425879 | ||||||||
\(305\) | 0.125726 | 0.00719906 | ||||||||
\(306\) | 2.64485 | − | 2.58546i | 0.151196 | − | 0.147801i | ||||
\(307\) | −18.1154 | + | 13.1616i | −1.03390 | + | 0.751172i | −0.969085 | − | 0.246726i | \(-0.920645\pi\) |
−0.0648138 | + | 0.997897i | \(0.520645\pi\) | |||||||
\(308\) | −0.794569 | − | 0.577288i | −0.0452747 | − | 0.0328940i | ||||
\(309\) | 21.4323 | − | 5.01691i | 1.21924 | − | 0.285402i | ||||
\(310\) | −2.85175 | + | 4.78200i | −0.161969 | + | 0.271599i | ||||
\(311\) | − | 11.5275i | − | 0.653662i | −0.945083 | − | 0.326831i | \(-0.894019\pi\) | ||
0.945083 | − | 0.326831i | \(-0.105981\pi\) | |||||||
\(312\) | −2.29167 | − | 0.964519i | −0.129740 | − | 0.0546051i | ||||
\(313\) | −1.34110 | − | 1.84587i | −0.0758035 | − | 0.104335i | 0.769432 | − | 0.638729i | \(-0.220540\pi\) |
−0.845235 | + | 0.534395i | \(0.820540\pi\) | |||||||
\(314\) | 6.06845 | − | 1.97176i | 0.342462 | − | 0.111273i | ||||
\(315\) | −0.899416 | − | 1.81589i | −0.0506764 | − | 0.102314i | ||||
\(316\) | − | 6.13203i | − | 0.344954i | ||||||
\(317\) | 8.64657 | − | 2.80944i | 0.485639 | − | 0.157794i | −0.0559557 | − | 0.998433i | \(-0.517821\pi\) |
0.541595 | + | 0.840639i | \(0.317821\pi\) | |||||||
\(318\) | 6.98828 | + | 0.589932i | 0.391883 | + | 0.0330818i | ||||
\(319\) | −1.86785 | + | 5.74864i | −0.104579 | + | 0.321862i | ||||
\(320\) | 0.587785 | − | 0.809017i | 0.0328582 | − | 0.0452254i | ||||
\(321\) | 7.70340 | − | 4.66070i | 0.429962 | − | 0.260135i | ||||
\(322\) | −2.54415 | + | 3.50172i | −0.141780 | + | 0.195143i | ||||
\(323\) | −0.740628 | + | 0.538097i | −0.0412096 | + | 0.0299405i | ||||
\(324\) | 5.12335 | + | 7.39941i | 0.284631 | + | 0.411078i | ||||
\(325\) | 0.843769 | + | 1.16135i | 0.0468039 | + | 0.0644200i | ||||
\(326\) | −12.3358 | − | 16.9787i | −0.683215 | − | 0.940364i | ||||
\(327\) | 1.09190 | − | 12.9346i | 0.0603824 | − | 0.715284i | ||||
\(328\) | 2.65646 | − | 1.93003i | 0.146679 | − | 0.106568i | ||||
\(329\) | 3.50426 | − | 4.82320i | 0.193196 | − | 0.265912i | ||||
\(330\) | −1.30365 | − | 2.15472i | −0.0717634 | − | 0.118614i | ||||
\(331\) | −15.6231 | + | 21.5034i | −0.858723 | + | 1.18193i | 0.123149 | + | 0.992388i | \(0.460701\pi\) |
−0.981872 | + | 0.189543i | \(0.939299\pi\) | |||||||
\(332\) | −0.168363 | + | 0.518168i | −0.00924012 | + | 0.0284382i | ||||
\(333\) | 14.5163 | − | 2.13047i | 0.795489 | − | 0.116749i | ||||
\(334\) | −3.53793 | + | 1.14954i | −0.193587 | + | 0.0629002i | ||||
\(335\) | 6.15728i | 0.336408i | ||||||||
\(336\) | −1.13916 | + | 0.266658i | −0.0621465 | + | 0.0145474i | ||||
\(337\) | 20.1667 | − | 6.55255i | 1.09855 | − | 0.356940i | 0.297005 | − | 0.954876i | \(-0.404012\pi\) |
0.801544 | + | 0.597936i | \(0.204012\pi\) | |||||||
\(338\) | 6.42997 | + | 8.85010i | 0.349744 | + | 0.481382i | ||||
\(339\) | 2.01797 | − | 4.79464i | 0.109601 | − | 0.260409i | ||||
\(340\) | 1.23288i | 0.0668620i | ||||||||
\(341\) | 7.44142 | − | 3.18789i | 0.402976 | − | 0.172634i | ||||
\(342\) | −0.988722 | − | 1.99620i | −0.0534640 | − | 0.107942i | ||||
\(343\) | 7.40126 | + | 5.37733i | 0.399631 | + | 0.290349i | ||||
\(344\) | −0.123197 | + | 0.0895077i | −0.00664232 | + | 0.00482593i | ||||
\(345\) | −9.49601 | + | 5.74526i | −0.511248 | + | 0.309314i | ||||
\(346\) | −1.38793 | −0.0746158 | ||||||||
\(347\) | −8.19685 | −0.440030 | −0.220015 | − | 0.975496i | \(-0.570611\pi\) | ||||
−0.220015 | + | 0.975496i | \(0.570611\pi\) | |||||||
\(348\) | 3.72727 | + | 6.16059i | 0.199803 | + | 0.330242i | ||||
\(349\) | −4.72574 | + | 14.5443i | −0.252963 | + | 0.778540i | 0.741261 | + | 0.671217i | \(0.234228\pi\) |
−0.994224 | + | 0.107323i | \(0.965772\pi\) | |||||||
\(350\) | 0.642416 | + | 0.208734i | 0.0343386 | + | 0.0111573i | ||||
\(351\) | 0.458492 | + | 7.44500i | 0.0244725 | + | 0.397385i | ||||
\(352\) | −1.38283 | + | 0.449310i | −0.0737053 | + | 0.0239483i | ||||
\(353\) | −8.36924 | − | 6.08061i | −0.445450 | − | 0.323638i | 0.342347 | − | 0.939574i | \(-0.388778\pi\) |
−0.787797 | + | 0.615935i | \(0.788778\pi\) | |||||||
\(354\) | 7.58935 | − | 8.78449i | 0.403369 | − | 0.466891i | ||||
\(355\) | 0.610533 | − | 1.87903i | 0.0324037 | − | 0.0997284i | ||||
\(356\) | −2.00962 | + | 1.46008i | −0.106510 | + | 0.0773839i | ||||
\(357\) | 0.942985 | − | 1.09148i | 0.0499080 | − | 0.0577674i | ||||
\(358\) | −23.5792 | − | 7.66133i | −1.24620 | − | 0.404914i | ||||
\(359\) | 18.0971 | + | 24.9085i | 0.955128 | + | 1.31462i | 0.949212 | + | 0.314638i | \(0.101883\pi\) |
0.00591586 | + | 0.999983i | \(0.498117\pi\) | |||||||
\(360\) | −2.95754 | − | 0.502920i | −0.155876 | − | 0.0265062i | ||||
\(361\) | −5.70094 | − | 17.5457i | −0.300049 | − | 0.923457i | ||||
\(362\) | −2.80215 | − | 2.03588i | −0.147278 | − | 0.107004i | ||||
\(363\) | 1.29465 | − | 15.3363i | 0.0679513 | − | 0.804945i | ||||
\(364\) | −0.922191 | − | 0.299638i | −0.0483360 | − | 0.0157053i | ||||
\(365\) | 1.88593 | + | 5.80428i | 0.0987139 | + | 0.303810i | ||||
\(366\) | −0.212032 | + | 0.0496329i | −0.0110831 | + | 0.00259435i | ||||
\(367\) | 8.26478i | 0.431418i | 0.976458 | + | 0.215709i | \(0.0692063\pi\) | ||||
−0.976458 | + | 0.215709i | \(0.930794\pi\) | |||||||
\(368\) | 1.98014 | + | 6.09424i | 0.103222 | + | 0.317684i | ||||
\(369\) | −8.72570 | − | 4.57151i | −0.454242 | − | 0.237983i | ||||
\(370\) | −2.87462 | + | 3.95658i | −0.149445 | + | 0.205693i | ||||
\(371\) | 2.73503 | 0.141995 | ||||||||
\(372\) | 2.92158 | − | 9.19045i | 0.151477 | − | 0.476503i | ||||
\(373\) | 28.4252 | 1.47180 | 0.735902 | − | 0.677088i | \(-0.236758\pi\) | ||||
0.735902 | + | 0.677088i | \(0.236758\pi\) | |||||||
\(374\) | 1.05366 | − | 1.45024i | 0.0544836 | − | 0.0749903i | ||||
\(375\) | 1.31065 | + | 1.13234i | 0.0676819 | + | 0.0584736i | ||||
\(376\) | −2.72741 | − | 8.39411i | −0.140655 | − | 0.432893i | ||||
\(377\) | 5.96760i | 0.307347i | ||||||||
\(378\) | 2.23369 | + | 2.70737i | 0.114889 | + | 0.139252i | ||||
\(379\) | −7.55174 | − | 23.2419i | −0.387907 | − | 1.19385i | −0.934350 | − | 0.356358i | \(-0.884018\pi\) |
0.546443 | − | 0.837496i | \(-0.315982\pi\) | |||||||
\(380\) | 0.706203 | + | 0.229459i | 0.0362274 | + | 0.0117710i | ||||
\(381\) | −10.2769 | − | 0.867550i | −0.526503 | − | 0.0444460i | ||||
\(382\) | −4.13739 | − | 3.00599i | −0.211687 | − | 0.153800i | ||||
\(383\) | −5.96140 | − | 18.3473i | −0.304613 | − | 0.937503i | −0.979821 | − | 0.199876i | \(-0.935946\pi\) |
0.675208 | − | 0.737627i | \(-0.264054\pi\) | |||||||
\(384\) | −0.671902 | + | 1.59642i | −0.0342879 | + | 0.0814668i | ||||
\(385\) | −0.577288 | − | 0.794569i | −0.0294213 | − | 0.0404950i | ||||
\(386\) | 16.7430 | + | 5.44011i | 0.852194 | + | 0.276895i | ||||
\(387\) | 0.404665 | + | 0.212009i | 0.0205703 | + | 0.0107770i | ||||
\(388\) | −3.74455 | + | 2.72058i | −0.190101 | + | 0.138116i | ||||
\(389\) | −3.27088 | + | 10.0667i | −0.165840 | + | 0.510404i | −0.999097 | − | 0.0424821i | \(-0.986473\pi\) |
0.833257 | + | 0.552886i | \(0.186473\pi\) | |||||||
\(390\) | −1.88145 | − | 1.62548i | −0.0952709 | − | 0.0823092i | ||||
\(391\) | −6.39131 | − | 4.64356i | −0.323223 | − | 0.234835i | ||||
\(392\) | 6.22346 | − | 2.02212i | 0.314332 | − | 0.102133i | ||||
\(393\) | 12.4208 | − | 29.5113i | 0.626545 | − | 1.48865i | ||||
\(394\) | −0.343418 | − | 0.111583i | −0.0173012 | − | 0.00562149i | ||||
\(395\) | 1.89490 | − | 5.83191i | 0.0953429 | − | 0.293435i | ||||
\(396\) | 3.04917 | + | 3.11922i | 0.153227 | + | 0.156747i | ||||
\(397\) | 1.24357 | 0.0624130 | 0.0312065 | − | 0.999513i | \(-0.490065\pi\) | ||||
0.0312065 | + | 0.999513i | \(0.490065\pi\) | |||||||
\(398\) | −17.6261 | −0.883517 | ||||||||
\(399\) | −0.449706 | − | 0.743294i | −0.0225135 | − | 0.0372113i | ||||
\(400\) | 0.809017 | − | 0.587785i | 0.0404508 | − | 0.0293893i | ||||
\(401\) | −22.8298 | − | 16.5868i | −1.14007 | − | 0.828307i | −0.152938 | − | 0.988236i | \(-0.548874\pi\) |
−0.987129 | + | 0.159929i | \(0.948874\pi\) | |||||||
\(402\) | −2.43071 | − | 10.3840i | −0.121233 | − | 0.517908i | ||||
\(403\) | 6.01462 | − | 5.26359i | 0.299609 | − | 0.262198i | ||||
\(404\) | − | 11.0475i | − | 0.549632i | ||||||
\(405\) | 2.58605 | + | 8.62046i | 0.128502 | + | 0.428354i | ||||
\(406\) | 1.65053 | + | 2.27176i | 0.0819144 | + | 0.112745i | ||||
\(407\) | 6.76290 | − | 2.19740i | 0.335224 | − | 0.108921i | ||||
\(408\) | −0.486702 | − | 2.07920i | −0.0240954 | − | 0.102936i | ||||
\(409\) | − | 25.0704i | − | 1.23965i | −0.784740 | − | 0.619825i | \(-0.787204\pi\) | ||
0.784740 | − | 0.619825i | \(-0.212796\pi\) | |||||||
\(410\) | 3.12286 | − | 1.01468i | 0.154227 | − | 0.0501114i | ||||
\(411\) | −0.109068 | + | 1.29201i | −0.00537991 | + | 0.0637300i | ||||
\(412\) | 3.92712 | − | 12.0864i | 0.193475 | − | 0.595456i | ||||
\(413\) | 2.66108 | − | 3.66266i | 0.130943 | − | 0.180228i | ||||
\(414\) | 13.7466 | − | 13.4379i | 0.675609 | − | 0.660437i | ||||
\(415\) | −0.320246 | + | 0.440780i | −0.0157202 | + | 0.0216370i | ||||
\(416\) | −1.16135 | + | 0.843769i | −0.0569398 | + | 0.0413692i | ||||
\(417\) | 20.2191 | + | 1.70685i | 0.990135 | + | 0.0835846i | ||||
\(418\) | −0.634608 | − | 0.873463i | −0.0310397 | − | 0.0427225i | ||||
\(419\) | 5.69308 | + | 7.83585i | 0.278125 | + | 0.382806i | 0.925112 | − | 0.379695i | \(-0.123971\pi\) |
−0.646987 | + | 0.762501i | \(0.723971\pi\) | |||||||
\(420\) | −1.16581 | − | 0.0984147i | −0.0568858 | − | 0.00480215i | ||||
\(421\) | 29.4506 | − | 21.3971i | 1.43534 | − | 1.04283i | 0.446345 | − | 0.894861i | \(-0.352726\pi\) |
0.988992 | − | 0.147972i | \(-0.0472745\pi\) | |||||||
\(422\) | −4.52050 | + | 6.22193i | −0.220054 | + | 0.302879i | ||||
\(423\) | −18.9344 | + | 18.5091i | −0.920620 | + | 0.899945i | ||||
\(424\) | 2.37996 | − | 3.27574i | 0.115581 | − | 0.159084i | ||||
\(425\) | −0.380979 | + | 1.17253i | −0.0184802 | + | 0.0568763i | ||||
\(426\) | −0.287857 | + | 3.40993i | −0.0139467 | + | 0.165212i | ||||
\(427\) | −0.0807684 | + | 0.0262433i | −0.00390866 | + | 0.00127000i | ||||
\(428\) | − | 5.19822i | − | 0.251265i | ||||||
\(429\) | 0.823973 | + | 3.52002i | 0.0397818 | + | 0.169948i | ||||
\(430\) | −0.144826 | + | 0.0470570i | −0.00698415 | + | 0.00226929i | ||||
\(431\) | −18.8162 | − | 25.8982i | −0.906342 | − | 1.24747i | −0.968400 | − | 0.249400i | \(-0.919766\pi\) |
0.0620582 | − | 0.998073i | \(-0.480234\pi\) | |||||||
\(432\) | 5.18633 | − | 0.319394i | 0.249527 | − | 0.0153669i | ||||
\(433\) | 8.92346i | 0.428834i | 0.976742 | + | 0.214417i | \(0.0687851\pi\) | ||||
−0.976742 | + | 0.214417i | \(0.931215\pi\) | |||||||
\(434\) | 0.833845 | − | 3.66729i | 0.0400259 | − | 0.176035i | ||||
\(435\) | 1.64111 | + | 7.01086i | 0.0786854 | + | 0.336145i | ||||
\(436\) | −6.06305 | − | 4.40507i | −0.290368 | − | 0.210964i | ||||
\(437\) | −3.84941 | + | 2.79676i | −0.184142 | + | 0.133787i | ||||
\(438\) | −5.47190 | − | 9.04420i | −0.261458 | − | 0.432149i | ||||
\(439\) | 5.06569 | 0.241772 | 0.120886 | − | 0.992666i | \(-0.461426\pi\) | ||||
0.120886 | + | 0.992666i | \(0.461426\pi\) | |||||||
\(440\) | −1.45400 | −0.0693167 | ||||||||
\(441\) | −13.7228 | − | 14.0381i | −0.653468 | − | 0.668480i | ||||
\(442\) | 0.546898 | − | 1.68318i | 0.0260133 | − | 0.0800607i | ||||
\(443\) | −17.6492 | − | 5.73459i | −0.838541 | − | 0.272459i | −0.141902 | − | 0.989881i | \(-0.545322\pi\) |
−0.696639 | + | 0.717422i | \(0.745322\pi\) | |||||||
\(444\) | 3.28601 | − | 7.80744i | 0.155947 | − | 0.370525i | ||||
\(445\) | −2.36245 | + | 0.767608i | −0.111991 | + | 0.0363881i | ||||
\(446\) | −3.84141 | − | 2.79095i | −0.181896 | − | 0.132155i | ||||
\(447\) | 28.4309 | + | 24.5628i | 1.34473 | + | 1.16178i | ||||
\(448\) | −0.208734 | + | 0.642416i | −0.00986173 | + | 0.0303513i | ||||
\(449\) | 4.60627 | − | 3.34665i | 0.217383 | − | 0.157938i | −0.473765 | − | 0.880651i | \(-0.657105\pi\) |
0.691148 | + | 0.722713i | \(0.257105\pi\) | |||||||
\(450\) | −2.65738 | − | 1.39224i | −0.125270 | − | 0.0656307i | ||||
\(451\) | −4.54064 | − | 1.47534i | −0.213810 | − | 0.0694711i | ||||
\(452\) | −1.76534 | − | 2.42978i | −0.0830346 | − | 0.114287i | ||||
\(453\) | 5.60273 | − | 13.3119i | 0.263239 | − | 0.625448i | ||||
\(454\) | −5.41370 | − | 16.6617i | −0.254078 | − | 0.781970i | ||||
\(455\) | −0.784463 | − | 0.569945i | −0.0367762 | − | 0.0267195i | ||||
\(456\) | −1.28157 | − | 0.108187i | −0.0600149 | − | 0.00506630i | ||||
\(457\) | 17.2459 | + | 5.60353i | 0.806729 | + | 0.262122i | 0.683212 | − | 0.730220i | \(-0.260583\pi\) |
0.123517 | + | 0.992342i | \(0.460583\pi\) | |||||||
\(458\) | 0.944660 | + | 2.90736i | 0.0441411 | + | 0.135852i | ||||
\(459\) | −4.94148 | + | 4.07692i | −0.230648 | + | 0.190294i | ||||
\(460\) | 6.40787i | 0.298768i | ||||||||
\(461\) | −7.64593 | − | 23.5317i | −0.356106 | − | 1.09598i | −0.955365 | − | 0.295427i | \(-0.904538\pi\) |
0.599259 | − | 0.800555i | \(-0.295462\pi\) | |||||||
\(462\) | 1.28725 | + | 1.11211i | 0.0598881 | + | 0.0517402i | ||||
\(463\) | 12.9279 | − | 17.7938i | 0.600812 | − | 0.826947i | −0.394970 | − | 0.918694i | \(-0.629245\pi\) |
0.995782 | + | 0.0917471i | \(0.0292451\pi\) | |||||||
\(464\) | 4.15714 | 0.192990 | ||||||||
\(465\) | 5.61859 | − | 7.83782i | 0.260556 | − | 0.363470i | ||||
\(466\) | 15.0108 | 0.695360 | ||||||||
\(467\) | −11.7220 | + | 16.1339i | −0.542429 | + | 0.746589i | −0.988961 | − | 0.148179i | \(-0.952659\pi\) |
0.446532 | + | 0.894768i | \(0.352659\pi\) | |||||||
\(468\) | 3.81469 | + | 1.99856i | 0.176334 | + | 0.0923836i | ||||
\(469\) | −1.28523 | − | 3.95553i | −0.0593464 | − | 0.182650i | ||||
\(470\) | − | 8.82609i | − | 0.407117i | ||||||
\(471\) | −10.7609 | + | 2.51893i | −0.495835 | + | 0.116066i | ||||
\(472\) | −2.07115 | − | 6.37434i | −0.0953323 | − | 0.293403i | ||||
\(473\) | 0.210577 | + | 0.0684208i | 0.00968236 | + | 0.00314599i | ||||
\(474\) | −0.893418 | + | 10.5834i | −0.0410361 | + | 0.486109i | ||||
\(475\) | 0.600732 | + | 0.436457i | 0.0275635 | + | 0.0200260i | ||||
\(476\) | −0.257342 | − | 0.792018i | −0.0117953 | − | 0.0363021i | ||||
\(477\) | −11.9752 | − | 2.03634i | −0.548307 | − | 0.0932377i | ||||
\(478\) | −13.3858 | − | 18.4240i | −0.612253 | − | 0.842694i | ||||
\(479\) | 1.95285 | + | 0.634521i | 0.0892281 | + | 0.0289920i | 0.353291 | − | 0.935514i | \(-0.385063\pi\) |
−0.264063 | + | 0.964506i | \(0.585063\pi\) | |||||||
\(480\) | −1.13234 | + | 1.31065i | −0.0516839 | + | 0.0598229i | ||||
\(481\) | 5.67969 | − | 4.12654i | 0.258972 | − | 0.188154i | ||||
\(482\) | −1.09763 | + | 3.37816i | −0.0499957 | + | 0.153871i | ||||
\(483\) | 4.90116 | − | 5.67298i | 0.223011 | − | 0.258130i | ||||
\(484\) | −7.18883 | − | 5.22299i | −0.326765 | − | 0.237409i | ||||
\(485\) | −4.40198 | + | 1.43029i | −0.199884 | + | 0.0649462i | ||||
\(486\) | −7.76438 | − | 13.5172i | −0.352200 | − | 0.613152i | ||||
\(487\) | −29.8884 | − | 9.71134i | −1.35437 | − | 0.440063i | −0.460213 | − | 0.887808i | \(-0.652227\pi\) |
−0.894161 | + | 0.447745i | \(0.852227\pi\) | |||||||
\(488\) | −0.0388515 | + | 0.119573i | −0.00175873 | + | 0.00541280i | ||||
\(489\) | 18.8167 | + | 31.1011i | 0.850920 | + | 1.40644i | ||||
\(490\) | 6.54373 | 0.295616 | ||||||||
\(491\) | 38.9313 | 1.75694 | 0.878471 | − | 0.477795i | \(-0.158564\pi\) | ||||
0.878471 | + | 0.477795i | \(0.158564\pi\) | |||||||
\(492\) | −4.86602 | + | 2.94403i | −0.219377 | + | 0.132727i | ||||
\(493\) | −4.14640 | + | 3.01254i | −0.186745 | + | 0.135678i | ||||
\(494\) | −0.862354 | − | 0.626537i | −0.0387991 | − | 0.0281892i | ||||
\(495\) | 1.93604 | + | 3.90880i | 0.0870187 | + | 0.175688i | ||||
\(496\) | −3.66671 | − | 4.18989i | −0.164640 | − | 0.188132i | ||||
\(497\) | 1.33455i | 0.0598630i | ||||||||
\(498\) | 0.366075 | − | 0.869783i | 0.0164042 | − | 0.0389759i | ||||
\(499\) | 13.9783 | + | 19.2394i | 0.625753 | + | 0.861275i | 0.997756 | − | 0.0669568i | \(-0.0213290\pi\) |
−0.372003 | + | 0.928231i | \(0.621329\pi\) | |||||||
\(500\) | 0.951057 | − | 0.309017i | 0.0425325 | − | 0.0138197i | ||||
\(501\) | 6.27364 | − | 1.46855i | 0.280286 | − | 0.0656098i | ||||
\(502\) | 15.1472i | 0.676051i | ||||||||
\(503\) | 19.9882 | − | 6.49456i | 0.891230 | − | 0.289578i | 0.172618 | − | 0.984989i | \(-0.444777\pi\) |
0.718613 | + | 0.695411i | \(0.244777\pi\) | |||||||
\(504\) | 2.00495 | − | 0.294255i | 0.0893075 | − | 0.0131072i | ||||
\(505\) | 3.41386 | − | 10.5068i | 0.151915 | − | 0.467545i | ||||
\(506\) | 5.47641 | − | 7.53763i | 0.243456 | − | 0.335089i | ||||
\(507\) | −9.80814 | − | 16.2113i | −0.435595 | − | 0.719970i | ||||
\(508\) | −3.49996 | + | 4.81728i | −0.155286 | + | 0.213732i | ||||
\(509\) | 19.1956 | − | 13.9464i | 0.850831 | − | 0.618165i | −0.0745443 | − | 0.997218i | \(-0.523750\pi\) |
0.925375 | + | 0.379053i | \(0.123750\pi\) | |||||||
\(510\) | 0.179626 | − | 2.12783i | 0.00795398 | − | 0.0942221i | ||||
\(511\) | −2.42310 | − | 3.33511i | −0.107191 | − | 0.147536i | ||||
\(512\) | 0.587785 | + | 0.809017i | 0.0259767 | + | 0.0357538i | ||||
\(513\) | 1.41561 | + | 3.58931i | 0.0625006 | + | 0.158472i | ||||
\(514\) | 12.7918 | − | 9.29380i | 0.564223 | − | 0.409932i | ||||
\(515\) | 7.46983 | − | 10.2813i | 0.329160 | − | 0.453050i | ||||
\(516\) | 0.225668 | − | 0.136533i | 0.00993447 | − | 0.00601053i | ||||
\(517\) | −7.54312 | + | 10.3822i | −0.331746 | + | 0.456609i | ||||
\(518\) | 1.02083 | − | 3.14180i | 0.0448528 | − | 0.138043i | ||||
\(519\) | 2.39545 | + | 0.202218i | 0.105149 | + | 0.00887637i | ||||
\(520\) | −1.36525 | + | 0.443596i | −0.0598700 | + | 0.0194530i | ||||
\(521\) | − | 33.6388i | − | 1.47374i | −0.676033 | − | 0.736872i | \(-0.736302\pi\) | ||
0.676033 | − | 0.736872i | \(-0.263698\pi\) | |||||||
\(522\) | −5.53536 | − | 11.1757i | −0.242276 | − | 0.489147i | ||||
\(523\) | 4.85308 | − | 1.57686i | 0.212210 | − | 0.0689514i | −0.200983 | − | 0.979595i | \(-0.564413\pi\) |
0.413193 | + | 0.910643i | \(0.364413\pi\) | |||||||
\(524\) | −10.8658 | − | 14.9555i | −0.474674 | − | 0.653333i | ||||
\(525\) | −1.07834 | − | 0.453854i | −0.0470627 | − | 0.0198078i | ||||
\(526\) | 1.02841i | 0.0448410i | ||||||||
\(527\) | 6.69352 | + | 1.52193i | 0.291574 | + | 0.0662963i | ||||
\(528\) | 2.45211 | − | 0.573995i | 0.106715 | − | 0.0249799i | ||||
\(529\) | −14.6115 | − | 10.6158i | −0.635281 | − | 0.461559i | ||||
\(530\) | 3.27574 | − | 2.37996i | 0.142289 | − | 0.103379i | ||||
\(531\) | −14.3784 | + | 14.0555i | −0.623970 | + | 0.609958i | ||||
\(532\) | −0.501572 | −0.0217459 | ||||||||
\(533\) | −4.71358 | −0.204168 | ||||||||
\(534\) | 3.68116 | − | 2.22717i | 0.159299 | − | 0.0963790i | ||||
\(535\) | 1.60634 | − | 4.94380i | 0.0694481 | − | 0.213739i | ||||
\(536\) | −5.85592 | − | 1.90270i | −0.252937 | − | 0.0821843i | ||||
\(537\) | 39.5793 | + | 16.6582i | 1.70797 | + | 0.718854i | ||||
\(538\) | 0.209286 | − | 0.0680012i | 0.00902297 | − | 0.00293174i | ||||
\(539\) | −7.69745 | − | 5.59253i | −0.331553 | − | 0.240887i | ||||
\(540\) | 5.03119 | + | 1.29890i | 0.216508 | + | 0.0558958i | ||||
\(541\) | 2.26819 | − | 6.98076i | 0.0975170 | − | 0.300127i | −0.890384 | − | 0.455209i | \(-0.849564\pi\) |
0.987901 | + | 0.155083i | \(0.0495644\pi\) | |||||||
\(542\) | −16.0239 | + | 11.6420i | −0.688285 | + | 0.500069i | ||||
\(543\) | 4.53965 | + | 3.92202i | 0.194815 | + | 0.168310i | ||||
\(544\) | −1.17253 | − | 0.380979i | −0.0502720 | − | 0.0163344i | ||||
\(545\) | −4.40507 | − | 6.06305i | −0.188692 | − | 0.259713i | ||||
\(546\) | 1.54796 | + | 0.651509i | 0.0662468 | + | 0.0278820i | ||||
\(547\) | −11.5561 | − | 35.5661i | −0.494105 | − | 1.52070i | −0.818347 | − | 0.574724i | \(-0.805109\pi\) |
0.324243 | − | 0.945974i | \(-0.394891\pi\) | |||||||
\(548\) | 0.605625 | + | 0.440012i | 0.0258710 | + | 0.0187964i | ||||
\(549\) | 0.373181 | − | 0.0547696i | 0.0159270 | − | 0.00233751i | ||||
\(550\) | −1.38283 | − | 0.449310i | −0.0589643 | − | 0.0191587i | ||||
\(551\) | 0.953894 | + | 2.93578i | 0.0406372 | + | 0.125069i | ||||
\(552\) | −2.52963 | − | 10.8066i | −0.107668 | − | 0.459961i | ||||
\(553\) | 4.14204i | 0.176137i | ||||||||
\(554\) | −0.321086 | − | 0.988201i | −0.0136416 | − | 0.0419846i | ||||
\(555\) | 5.53781 | − | 6.40989i | 0.235067 | − | 0.272085i | ||||
\(556\) | 6.88593 | − | 9.47767i | 0.292028 | − | 0.401943i | ||||
\(557\) | 21.4605 | 0.909311 | 0.454656 | − | 0.890667i | \(-0.349762\pi\) | ||||
0.454656 | + | 0.890667i | \(0.349762\pi\) | |||||||
\(558\) | −6.38141 | + | 15.4362i | −0.270147 | + | 0.653468i | ||||
\(559\) | 0.218598 | 0.00924571 | ||||||||
\(560\) | −0.397035 | + | 0.546471i | −0.0167778 | + | 0.0230926i | ||||
\(561\) | −2.02983 | + | 2.34948i | −0.0856993 | + | 0.0991950i | ||||
\(562\) | −0.844065 | − | 2.59776i | −0.0356047 | − | 0.109580i | ||||
\(563\) | 30.1922i | 1.27245i | 0.771504 | + | 0.636224i | \(0.219505\pi\) | ||||
−0.771504 | + | 0.636224i | \(0.780495\pi\) | |||||||
\(564\) | 3.48428 | + | 14.8849i | 0.146714 | + | 0.626766i | ||||
\(565\) | −0.928094 | − | 2.85638i | −0.0390452 | − | 0.120169i | ||||
\(566\) | 8.88990 | + | 2.88850i | 0.373670 | + | 0.121413i | ||||
\(567\) | −3.46070 | − | 4.99812i | −0.145336 | − | 0.209901i | ||||
\(568\) | 1.59840 | + | 1.16130i | 0.0670672 | + | 0.0487272i | ||||
\(569\) | −5.52646 | − | 17.0087i | −0.231681 | − | 0.713041i | −0.997544 | − | 0.0700375i | \(-0.977688\pi\) |
0.765863 | − | 0.643003i | \(-0.222312\pi\) | |||||||
\(570\) | −1.18541 | − | 0.498918i | −0.0496515 | − | 0.0208974i | ||||
\(571\) | 13.6393 | + | 18.7729i | 0.570787 | + | 0.785621i | 0.992648 | − | 0.121040i | \(-0.0386229\pi\) |
−0.421861 | + | 0.906661i | \(0.638623\pi\) | |||||||
\(572\) | 1.98507 | + | 0.644987i | 0.0829998 | + | 0.0269683i | ||||
\(573\) | 6.70281 | + | 5.79088i | 0.280014 | + | 0.241918i | ||||
\(574\) | −1.79438 | + | 1.30369i | −0.0748959 | + | 0.0544150i | ||||
\(575\) | −1.98014 | + | 6.09424i | −0.0825775 | + | 0.254148i | ||||
\(576\) | 1.39224 | − | 2.65738i | 0.0580099 | − | 0.110724i | ||||
\(577\) | −4.93093 | − | 3.58253i | −0.205277 | − | 0.149143i | 0.480397 | − | 0.877051i | \(-0.340493\pi\) |
−0.685674 | + | 0.727909i | \(0.740493\pi\) | |||||||
\(578\) | −14.7224 | + | 4.78359i | −0.612370 | + | 0.198971i | ||||
\(579\) | −28.1043 | − | 11.8286i | −1.16797 | − | 0.491578i | ||||
\(580\) | 3.95367 | + | 1.28463i | 0.164167 | + | 0.0533412i | ||||
\(581\) | 0.113725 | − | 0.350010i | 0.00471812 | − | 0.0145209i | ||||
\(582\) | 6.85915 | − | 4.14991i | 0.284321 | − | 0.172019i | ||||
\(583\) | −5.88729 | −0.243827 | ||||||||
\(584\) | −6.10298 | −0.252543 | ||||||||
\(585\) | 3.01039 | + | 3.07955i | 0.124464 | + | 0.127324i | ||||
\(586\) | −18.6083 | + | 13.5197i | −0.768702 | + | 0.558495i | ||||
\(587\) | −5.99784 | − | 4.35768i | −0.247557 | − | 0.179861i | 0.457086 | − | 0.889422i | \(-0.348893\pi\) |
−0.704644 | + | 0.709561i | \(0.748893\pi\) | |||||||
\(588\) | −11.0358 | + | 2.58327i | −0.455107 | + | 0.106532i | ||||
\(589\) | 2.11755 | − | 3.55085i | 0.0872523 | − | 0.146310i | ||||
\(590\) | − | 6.70238i | − | 0.275932i | ||||||
\(591\) | 0.576452 | + | 0.242618i | 0.0237121 | + | 0.00997997i | ||||
\(592\) | −2.87462 | − | 3.95658i | −0.118146 | − | 0.162614i | ||||
\(593\) | 29.5074 | − | 9.58754i | 1.21172 | − | 0.393713i | 0.367663 | − | 0.929959i | \(-0.380158\pi\) |
0.844062 | + | 0.536246i | \(0.180158\pi\) | |||||||
\(594\) | −4.80814 | − | 5.82776i | −0.197281 | − | 0.239116i | ||||
\(595\) | − | 0.832777i | − | 0.0341405i | ||||||
\(596\) | 20.6304 | − | 6.70323i | 0.845055 | − | 0.274575i | ||||
\(597\) | 30.4211 | + | 2.56807i | 1.24505 | + | 0.105104i | ||||
\(598\) | 2.84250 | − | 8.74832i | 0.116239 | − | 0.357745i | ||||
\(599\) | −9.20229 | + | 12.6659i | −0.375995 | + | 0.517513i | −0.954518 | − | 0.298153i | \(-0.903629\pi\) |
0.578523 | + | 0.815666i | \(0.303629\pi\) | |||||||
\(600\) | −1.48193 | + | 0.896594i | −0.0604996 | + | 0.0366033i | ||||
\(601\) | −9.12607 | + | 12.5610i | −0.372260 | + | 0.512372i | −0.953513 | − | 0.301350i | \(-0.902563\pi\) |
0.581253 | + | 0.813723i | \(0.302563\pi\) | |||||||
\(602\) | 0.0832164 | − | 0.0604603i | 0.00339165 | − | 0.00246418i | ||||
\(603\) | 2.68227 | + | 18.2761i | 0.109231 | + | 0.744259i | ||||
\(604\) | −4.90131 | − | 6.74608i | −0.199432 | − | 0.274494i | ||||
\(605\) | −5.22299 | − | 7.18883i | −0.212345 | − | 0.292268i | ||||
\(606\) | −1.60958 | + | 19.0670i | −0.0653848 | + | 0.774543i | ||||
\(607\) | 29.8867 | − | 21.7140i | 1.21306 | − | 0.881343i | 0.217559 | − | 0.976047i | \(-0.430191\pi\) |
0.995505 | + | 0.0947046i | \(0.0301907\pi\) | |||||||
\(608\) | −0.436457 | + | 0.600732i | −0.0177007 | + | 0.0243629i | ||||
\(609\) | −2.51768 | − | 4.16133i | −0.102021 | − | 0.168626i | ||||
\(610\) | −0.0739000 | + | 0.101715i | −0.00299212 | + | 0.00411830i | ||||
\(611\) | −3.91521 | + | 12.0498i | −0.158393 | + | 0.487482i | ||||
\(612\) | 0.537073 | + | 3.65942i | 0.0217099 | + | 0.147923i | ||||
\(613\) | −9.14581 | + | 2.97165i | −0.369396 | + | 0.120024i | −0.487832 | − | 0.872938i | \(-0.662212\pi\) |
0.118436 | + | 0.992962i | \(0.462212\pi\) | |||||||
\(614\) | − | 22.3918i | − | 0.903661i | ||||||
\(615\) | −5.53762 | + | 1.29626i | −0.223298 | + | 0.0522701i | ||||
\(616\) | 0.934071 | − | 0.303498i | 0.0376348 | − | 0.0122283i | ||||
\(617\) | 4.03198 | + | 5.54955i | 0.162322 | + | 0.223416i | 0.882428 | − | 0.470447i | \(-0.155907\pi\) |
−0.720107 | + | 0.693863i | \(0.755907\pi\) | |||||||
\(618\) | −8.53882 | + | 20.2880i | −0.343482 | + | 0.816101i | ||||
\(619\) | 47.6373i | 1.91470i | 0.288925 | + | 0.957352i | \(0.406702\pi\) | ||||
−0.288925 | + | 0.957352i | \(0.593298\pi\) | |||||||
\(620\) | −2.19250 | − | 5.11790i | −0.0880530 | − | 0.205540i | ||||
\(621\) | −25.6833 | + | 21.1898i | −1.03064 | + | 0.850317i | ||||
\(622\) | 9.32591 | + | 6.77567i | 0.373935 | + | 0.271680i | ||||
\(623\) | 1.35745 | − | 0.986247i | 0.0543852 | − | 0.0395131i | ||||
\(624\) | 2.12732 | − | 1.28707i | 0.0851609 | − | 0.0515239i | ||||
\(625\) | 1.00000 | 0.0400000 | ||||||||
\(626\) | 2.28162 | 0.0911918 | ||||||||
\(627\) | 0.968017 | + | 1.59998i | 0.0386589 | + | 0.0638971i | ||||
\(628\) | −1.97176 | + | 6.06845i | −0.0786817 | + | 0.242157i | ||||
\(629\) | 5.73440 | + | 1.86322i | 0.228645 | + | 0.0742914i | ||||
\(630\) | 1.99775 | + | 0.339710i | 0.0795923 | + | 0.0135344i | ||||
\(631\) | −12.4918 | + | 4.05882i | −0.497289 | + | 0.161579i | −0.546914 | − | 0.837189i | \(-0.684197\pi\) |
0.0496247 | + | 0.998768i | \(0.484197\pi\) | |||||||
\(632\) | 4.96092 | + | 3.60432i | 0.197335 | + | 0.143372i | ||||
\(633\) | 8.70850 | − | 10.0799i | 0.346132 | − | 0.400639i | ||||
\(634\) | −2.80944 | + | 8.64657i | −0.111577 | + | 0.343399i | ||||
\(635\) | −4.81728 | + | 3.49996i | −0.191168 | + | 0.138892i | ||||
\(636\) | −4.58487 | + | 5.30688i | −0.181802 | + | 0.210432i | ||||
\(637\) | −8.93381 | − | 2.90277i | −0.353970 | − | 0.115012i | ||||
\(638\) | −3.55285 | − | 4.89008i | −0.140659 | − | 0.193600i | ||||
\(639\) | 0.993632 | − | 5.84330i | 0.0393075 | − | 0.231157i | ||||
\(640\) | 0.309017 | + | 0.951057i | 0.0122150 | + | 0.0375938i | ||||
\(641\) | −26.2693 | − | 19.0858i | −1.03758 | − | 0.753843i | −0.0677645 | − | 0.997701i | \(-0.521587\pi\) |
−0.969811 | + | 0.243859i | \(0.921587\pi\) | |||||||
\(642\) | −0.757365 | + | 8.97167i | −0.0298908 | + | 0.354084i | ||||
\(643\) | −19.3064 | − | 6.27304i | −0.761371 | − | 0.247385i | −0.0975043 | − | 0.995235i | \(-0.531086\pi\) |
−0.663867 | + | 0.747851i | \(0.731086\pi\) | |||||||
\(644\) | −1.33754 | − | 4.11651i | −0.0527063 | − | 0.162213i | ||||
\(645\) | 0.256814 | − | 0.0601154i | 0.0101120 | − | 0.00236704i | ||||
\(646\) | − | 0.915466i | − | 0.0360185i | ||||||
\(647\) | 3.46555 | + | 10.6659i | 0.136245 | + | 0.419318i | 0.995782 | − | 0.0917558i | \(-0.0292479\pi\) |
−0.859537 | + | 0.511074i | \(0.829248\pi\) | |||||||
\(648\) | −8.99768 | − | 0.204385i | −0.353462 | − | 0.00802902i | ||||
\(649\) | −5.72811 | + | 7.88407i | −0.224848 | + | 0.309477i | ||||
\(650\) | −1.43551 | −0.0563052 | ||||||||
\(651\) | −1.97346 | + | 6.20793i | −0.0773459 | + | 0.243308i | ||||
\(652\) | 20.9869 | 0.821909 | ||||||||
\(653\) | −9.09720 | + | 12.5212i | −0.356001 | + | 0.489993i | −0.949029 | − | 0.315189i | \(-0.897932\pi\) |
0.593028 | + | 0.805182i | \(0.297932\pi\) | |||||||
\(654\) | 9.82249 | + | 8.48612i | 0.384090 | + | 0.331834i | ||||
\(655\) | −5.71248 | − | 17.5812i | −0.223205 | − | 0.686955i | ||||
\(656\) | 3.28357i | 0.128202i | ||||||||
\(657\) | 8.12631 | + | 16.4067i | 0.317037 | + | 0.640088i | ||||
\(658\) | 1.84230 | + | 5.67002i | 0.0718203 | + | 0.221040i | ||||
\(659\) | −37.9456 | − | 12.3293i | −1.47815 | − | 0.480280i | −0.544591 | − | 0.838702i | \(-0.683315\pi\) |
−0.933560 | + | 0.358421i | \(0.883315\pi\) | |||||||
\(660\) | 2.50947 | + | 0.211843i | 0.0976811 | + | 0.00824598i | ||||
\(661\) | −1.00974 | − | 0.733622i | −0.0392745 | − | 0.0285346i | 0.567975 | − | 0.823046i | \(-0.307727\pi\) |
−0.607249 | + | 0.794511i | \(0.707727\pi\) | |||||||
\(662\) | −8.21355 | − | 25.2787i | −0.319229 | − | 0.982485i | ||||
\(663\) | −1.18913 | + | 2.82534i | −0.0461821 | + | 0.109727i | ||||
\(664\) | −0.320246 | − | 0.440780i | −0.0124279 | − | 0.0171056i | ||||
\(665\) | −0.477023 | − | 0.154994i | −0.0184982 | − | 0.00601042i | ||||
\(666\) | −6.80888 | + | 12.9962i | −0.263839 | + | 0.503592i | ||||
\(667\) | −21.5509 | + | 15.6577i | −0.834455 | + | 0.606267i | ||||
\(668\) | 1.14954 | − | 3.53793i | 0.0444772 | − | 0.136887i | ||||
\(669\) | 6.22331 | + | 5.37662i | 0.240607 | + | 0.207872i | ||||
\(670\) | −4.98134 | − | 3.61916i | −0.192446 | − | 0.139820i | ||||
\(671\) | 0.173858 | − | 0.0564900i | 0.00671173 | − | 0.00218077i | ||||
\(672\) | 0.453854 | − | 1.07834i | 0.0175078 | − | 0.0415979i | ||||
\(673\) | −26.0905 | − | 8.47732i | −1.00572 | − | 0.326777i | −0.240568 | − | 0.970632i | \(-0.577334\pi\) |
−0.765147 | + | 0.643855i | \(0.777334\pi\) | |||||||
\(674\) | −6.55255 | + | 20.1667i | −0.252395 | + | 0.776791i | ||||
\(675\) | 4.38356 | + | 2.79005i | 0.168723 | + | 0.107389i | ||||
\(676\) | −10.9393 | −0.420743 | ||||||||
\(677\) | −11.9878 | −0.460728 | −0.230364 | − | 0.973105i | \(-0.573992\pi\) | ||||
−0.230364 | + | 0.973105i | \(0.573992\pi\) | |||||||
\(678\) | 2.69281 | + | 4.45079i | 0.103417 | + | 0.170932i | ||||
\(679\) | 2.52935 | − | 1.83768i | 0.0970677 | − | 0.0705238i | ||||
\(680\) | −0.997417 | − | 0.724666i | −0.0382492 | − | 0.0277897i | ||||
\(681\) | 6.91602 | + | 29.5453i | 0.265022 | + | 1.13218i | ||||
\(682\) | −1.79490 | + | 7.89404i | −0.0687302 | + | 0.302278i | ||||
\(683\) | 19.2763i | 0.737589i | 0.929511 | + | 0.368794i | \(0.120229\pi\) | ||||
−0.929511 | + | 0.368794i | \(0.879771\pi\) | |||||||
\(684\) | 2.19611 | + | 0.373441i | 0.0839704 | + | 0.0142789i | ||||
\(685\) | 0.440012 | + | 0.605625i | 0.0168120 | + | 0.0231397i | ||||
\(686\) | −8.70071 | + | 2.82703i | −0.332194 | + | 0.107937i | ||||
\(687\) | −1.20681 | − | 5.15549i | −0.0460425 | − | 0.196694i | ||||
\(688\) | − | 0.152280i | − | 0.00580560i | ||||||
\(689\) | −5.52793 | + | 1.79613i | −0.210598 | + | 0.0684273i | ||||
\(690\) | 0.933606 | − | 11.0594i | 0.0355418 | − | 0.421025i | ||||
\(691\) | −9.71725 | + | 29.9066i | −0.369662 | + | 1.13770i | 0.577348 | + | 0.816498i | \(0.304087\pi\) |
−0.947010 | + | 0.321204i | \(0.895913\pi\) | |||||||
\(692\) | 0.815807 | − | 1.12286i | 0.0310123 | − | 0.0426848i | ||||
\(693\) | −2.05964 | − | 2.10696i | −0.0782393 | − | 0.0800368i | ||||
\(694\) | 4.81799 | − | 6.63139i | 0.182888 | − | 0.251724i | ||||
\(695\) | 9.47767 | − | 6.88593i | 0.359508 | − | 0.261198i | ||||
\(696\) | −7.17486 | − | 0.605682i | −0.271962 | − | 0.0229583i | ||||
\(697\) | −2.37949 | − | 3.27509i | −0.0901297 | − | 0.124053i | ||||
\(698\) | −8.98889 | − | 12.3721i | −0.340234 | − | 0.468293i | ||||
\(699\) | −25.9073 | − | 2.18702i | −0.979902 | − | 0.0827208i | ||||
\(700\) | −0.546471 | + | 0.397035i | −0.0206547 | + | 0.0150065i | ||||
\(701\) | 27.8064 | − | 38.2723i | 1.05023 | − | 1.44552i | 0.161630 | − | 0.986851i | \(-0.448325\pi\) |
0.888605 | − | 0.458673i | \(-0.151675\pi\) | |||||||
\(702\) | −6.29263 | − | 4.00513i | −0.237500 | − | 0.151164i | ||||
\(703\) | 2.13454 | − | 2.93794i | 0.0805057 | − | 0.110807i | ||||
\(704\) | 0.449310 | − | 1.38283i | 0.0169340 | − | 0.0521175i | ||||
\(705\) | −1.28593 | + | 15.2331i | −0.0484311 | + | 0.573710i | ||||
\(706\) | 9.83864 | − | 3.19677i | 0.370282 | − | 0.120312i | ||||
\(707\) | 7.46230i | 0.280649i | ||||||||
\(708\) | 2.64590 | + | 11.3033i | 0.0994389 | + | 0.424804i | ||||
\(709\) | −36.9322 | + | 12.0000i | −1.38702 | + | 0.450670i | −0.904970 | − | 0.425475i | \(-0.860107\pi\) |
−0.482048 | + | 0.876145i | \(0.660107\pi\) | |||||||
\(710\) | 1.16130 | + | 1.59840i | 0.0435829 | + | 0.0599867i | ||||
\(711\) | 3.08392 | − | 18.1358i | 0.115656 | − | 0.680144i | ||||
\(712\) | − | 2.48403i | − | 0.0930930i | ||||||
\(713\) | 34.7895 | + | 7.91023i | 1.30288 | + | 0.296241i | ||||
\(714\) | 0.328756 | + | 1.40445i | 0.0123034 | + | 0.0525601i | ||||
\(715\) | 1.68860 | + | 1.22684i | 0.0631500 | + | 0.0458812i | ||||
\(716\) | 20.0576 | − | 14.5727i | 0.749589 | − | 0.544608i | ||||
\(717\) | 20.4184 | + | 33.7485i | 0.762540 | + | 1.26036i | ||||
\(718\) | −30.7886 | −1.14902 | ||||||||
\(719\) | −34.4064 | −1.28314 | −0.641572 | − | 0.767063i | \(-0.721717\pi\) | ||||
−0.641572 | + | 0.767063i | \(0.721717\pi\) | |||||||
\(720\) | 2.14527 | − | 2.09709i | 0.0799496 | − | 0.0781541i | ||||
\(721\) | −2.65267 | + | 8.16409i | −0.0987908 | + | 0.304047i | ||||
\(722\) | 17.5457 | + | 5.70094i | 0.652983 | + | 0.212167i | ||||
\(723\) | 2.38660 | − | 5.67048i | 0.0887587 | − | 0.210888i | ||||
\(724\) | 3.29413 | − | 1.07033i | 0.122425 | − | 0.0397784i | ||||
\(725\) | 3.36320 | + | 2.44350i | 0.124906 | + | 0.0907495i | ||||
\(726\) | 11.6463 | + | 10.0618i | 0.432236 | + | 0.373429i | ||||
\(727\) | 3.78771 | − | 11.6574i | 0.140478 | − | 0.432348i | −0.855924 | − | 0.517102i | \(-0.827011\pi\) |
0.996402 | + | 0.0847545i | \(0.0270106\pi\) | |||||||
\(728\) | 0.784463 | − | 0.569945i | 0.0290741 | − | 0.0211236i | ||||
\(729\) | 11.4312 | + | 24.4607i | 0.423379 | + | 0.905953i | ||||
\(730\) | −5.80428 | − | 1.88593i | −0.214826 | − | 0.0698012i | ||||
\(731\) | 0.110352 | + | 0.151886i | 0.00408151 | + | 0.00561771i | ||||
\(732\) | 0.0844757 | − | 0.200711i | 0.00312231 | − | 0.00741851i | ||||
\(733\) | 0.391126 | + | 1.20376i | 0.0144466 | + | 0.0444620i | 0.958020 | − | 0.286702i | \(-0.0925588\pi\) |
−0.943573 | + | 0.331164i | \(0.892559\pi\) | |||||||
\(734\) | −6.68635 | − | 4.85792i | −0.246798 | − | 0.179309i | ||||
\(735\) | −11.2939 | − | 0.953402i | −0.416582 | − | 0.0351668i | ||||
\(736\) | −6.09424 | − | 1.98014i | −0.224637 | − | 0.0729889i | ||||
\(737\) | 2.76653 | + | 8.51450i | 0.101906 | + | 0.313636i | ||||
\(738\) | 8.82727 | − | 4.37217i | 0.324936 | − | 0.160942i | ||||
\(739\) | 1.05733i | 0.0388946i | 0.999811 | + | 0.0194473i | \(0.00619066\pi\) | ||||
−0.999811 | + | 0.0194473i | \(0.993809\pi\) | |||||||
\(740\) | −1.51128 | − | 4.65124i | −0.0555557 | − | 0.170983i | ||||
\(741\) | 1.39706 | + | 1.20699i | 0.0513224 | + | 0.0443399i | ||||
\(742\) | −1.60761 | + | 2.21268i | −0.0590171 | + | 0.0812301i | ||||
\(743\) | 16.9609 | 0.622234 | 0.311117 | − | 0.950372i | \(-0.399297\pi\) | ||||
0.311117 | + | 0.950372i | \(0.399297\pi\) | |||||||
\(744\) | 5.71797 | + | 7.76562i | 0.209631 | + | 0.284701i | ||||
\(745\) | 21.6921 | 0.794738 | ||||||||
\(746\) | −16.7079 | + | 22.9965i | −0.611721 | + | 0.841962i | ||||
\(747\) | −0.758539 | + | 1.44783i | −0.0277535 | + | 0.0529734i | ||||
\(748\) | 0.553943 | + | 1.70486i | 0.0202542 | + | 0.0623360i | ||||
\(749\) | 3.51127i | 0.128299i | ||||||||
\(750\) | −1.68646 | + | 0.394770i | −0.0615809 | + | 0.0144150i | ||||
\(751\) | −2.28887 | − | 7.04441i | −0.0835219 | − | 0.257054i | 0.900571 | − | 0.434709i | \(-0.143149\pi\) |
−0.984093 | + | 0.177655i | \(0.943149\pi\) | |||||||
\(752\) | 8.39411 | + | 2.72741i | 0.306102 | + | 0.0994585i | ||||
\(753\) | 2.20689 | − | 26.1427i | 0.0804237 | − | 0.952692i | ||||
\(754\) | −4.82789 | − | 3.50766i | −0.175821 | − | 0.127742i | ||||
\(755\) | −2.57677 | − | 7.93049i | −0.0937784 | − | 0.288620i | ||||
\(756\) | −3.50324 | + | 0.215743i | −0.127412 | + | 0.00784650i | ||||
\(757\) | 16.5507 | + | 22.7801i | 0.601547 | + | 0.827958i | 0.995849 | − | 0.0910230i | \(-0.0290137\pi\) |
−0.394302 | + | 0.918981i | \(0.629014\pi\) | |||||||
\(758\) | 23.2419 | + | 7.55174i | 0.844183 | + | 0.274292i | ||||
\(759\) | −10.5500 | + | 12.2114i | −0.382941 | + | 0.443246i | ||||
\(760\) | −0.600732 | + | 0.436457i | −0.0217908 | + | 0.0158320i | ||||
\(761\) | −1.09866 | + | 3.38134i | −0.0398265 | + | 0.122574i | −0.968993 | − | 0.247088i | \(-0.920526\pi\) |
0.929167 | + | 0.369661i | \(0.120526\pi\) | |||||||
\(762\) | 6.74249 | − | 7.80427i | 0.244254 | − | 0.282719i | ||||
\(763\) | 4.09545 | + | 2.97552i | 0.148265 | + | 0.107721i | ||||
\(764\) | 4.86380 | − | 1.58034i | 0.175966 | − | 0.0571748i | ||||
\(765\) | −0.620038 | + | 3.64628i | −0.0224175 | + | 0.131832i | ||||
\(766\) | 18.3473 | + | 5.96140i | 0.662915 | + | 0.215394i | ||||
\(767\) | −2.97314 | + | 9.15040i | −0.107354 | + | 0.330402i | ||||
\(768\) | −0.896594 | − | 1.48193i | −0.0323531 | − | 0.0534746i | ||||
\(769\) | −31.2687 | −1.12758 | −0.563789 | − | 0.825919i | \(-0.690657\pi\) | ||||
−0.563789 | + | 0.825919i | \(0.690657\pi\) | |||||||
\(770\) | 0.982141 | 0.0353939 | ||||||||
\(771\) | −23.4316 | + | 14.1765i | −0.843869 | + | 0.510556i | ||||
\(772\) | −14.2424 | + | 10.3477i | −0.512595 | + | 0.372422i | ||||
\(773\) | −39.7021 | − | 28.8453i | −1.42798 | − | 1.03749i | −0.990388 | − | 0.138320i | \(-0.955830\pi\) |
−0.437597 | − | 0.899171i | \(-0.644170\pi\) | |||||||
\(774\) | −0.409375 | + | 0.202765i | −0.0147147 | + | 0.00728823i | ||||
\(775\) | −0.503674 | − | 5.54494i | −0.0180925 | − | 0.199180i | ||||
\(776\) | − | 4.62852i | − | 0.166154i | ||||||
\(777\) | −2.21962 | + | 5.27374i | −0.0796284 | + | 0.189194i | ||||
\(778\) | −6.22158 | − | 8.56328i | −0.223055 | − | 0.307008i | ||||
\(779\) | −2.31887 | + | 0.753446i | −0.0830820 | + | 0.0269950i | ||||
\(780\) | 2.42093 | − | 0.566695i | 0.0866831 | − | 0.0202909i | ||||
\(781\) | − | 2.87270i | − | 0.102793i | ||||||
\(782\) | 7.51344 | − | 2.44127i | 0.268680 | − | 0.0872995i | ||||
\(783\) | 7.92527 | + | 20.0947i | 0.283226 | + | 0.718128i | ||||
\(784\) | −2.02212 | + | 6.22346i | −0.0722187 | + | 0.222266i | ||||
\(785\) | −3.75051 | + | 5.16213i | −0.133861 | + | 0.184244i | ||||
\(786\) | 16.5744 | + | 27.3949i | 0.591190 | + | 0.977145i | ||||
\(787\) | 5.66316 | − | 7.79466i | 0.201870 | − | 0.277850i | −0.696065 | − | 0.717979i | \(-0.745067\pi\) |
0.897934 | + | 0.440129i | \(0.145067\pi\) | |||||||
\(788\) | 0.292129 | − | 0.212244i | 0.0104067 | − | 0.00756088i | ||||
\(789\) | 0.149837 | − | 1.77495i | 0.00533433 | − | 0.0631899i | ||||
\(790\) | 3.60432 | + | 4.96092i | 0.128236 | + | 0.176502i | ||||
\(791\) | 1.19244 | + | 1.64126i | 0.0423984 | + | 0.0583564i | ||||
\(792\) | −4.31576 | + | 0.633400i | −0.153354 | + | 0.0225069i | ||||
\(793\) | 0.146012 | − | 0.106084i | 0.00518503 | − | 0.00376715i | ||||
\(794\) | −0.730952 | + | 1.00607i | −0.0259405 | + | 0.0357041i | ||||
\(795\) | −6.00039 | + | 3.63034i | −0.212812 | + | 0.128755i | ||||
\(796\) | 10.3604 | − | 14.2598i | 0.367213 | − | 0.505426i | ||||
\(797\) | −14.9203 | + | 45.9199i | −0.528503 | + | 1.62657i | 0.228779 | + | 0.973478i | \(0.426527\pi\) |
−0.757282 | + | 0.653088i | \(0.773473\pi\) | |||||||
\(798\) | 0.865668 | + | 0.0730774i | 0.0306443 | + | 0.00258691i | ||||
\(799\) | −10.3489 | + | 3.36256i | −0.366117 | + | 0.118959i | ||||
\(800\) | 1.00000i | 0.0353553i | ||||||||
\(801\) | −6.67785 | + | 3.30756i | −0.235950 | + | 0.116867i | ||||
\(802\) | 26.8381 | − | 8.72022i | 0.947685 | − | 0.307922i | ||||
\(803\) | 5.21585 | + | 7.17900i | 0.184063 | + | 0.253341i | ||||
\(804\) | 9.82959 | + | 4.13709i | 0.346663 | + | 0.145904i | ||||
\(805\) | − | 4.32836i | − | 0.152555i | ||||||
\(806\) | 0.723027 | + | 7.95979i | 0.0254676 | + | 0.280371i | ||||
\(807\) | −0.371117 | + | 0.0868718i | −0.0130639 | + | 0.00305803i | ||||
\(808\) | 8.93759 | + | 6.49354i | 0.314423 | + | 0.228442i | ||||
\(809\) | −1.73957 | + | 1.26387i | −0.0611600 | + | 0.0444354i | −0.617945 | − | 0.786221i | \(-0.712035\pi\) |
0.556785 | + | 0.830657i | \(0.312035\pi\) | |||||||
\(810\) | −8.49414 | − | 2.97482i | −0.298454 | − | 0.104524i | ||||
\(811\) | −35.3789 | −1.24232 | −0.621160 | − | 0.783683i | \(-0.713338\pi\) | ||||
−0.621160 | + | 0.783683i | \(0.713338\pi\) | |||||||
\(812\) | −2.80805 | −0.0985431 | ||||||||
\(813\) | 29.3520 | − | 17.7585i | 1.02942 | − | 0.622818i | ||||
\(814\) | −2.19740 | + | 6.76290i | −0.0770188 | + | 0.237039i | ||||
\(815\) | 19.9597 | + | 6.48529i | 0.699157 | + | 0.227170i | ||||
\(816\) | 1.96818 | + | 0.828372i | 0.0689002 | + | 0.0289988i | ||||
\(817\) | 0.107540 | − | 0.0349419i | 0.00376236 | − | 0.00122246i | ||||
\(818\) | 20.2823 | + | 14.7360i | 0.709155 | + | 0.515232i | ||||
\(819\) | −2.57673 | − | 1.34998i | −0.0900382 | − | 0.0471722i | ||||
\(820\) | −1.01468 | + | 3.12286i | −0.0354341 | + | 0.109055i | ||||
\(821\) | −16.9372 | + | 12.3056i | −0.591112 | + | 0.429468i | −0.842713 | − | 0.538363i | \(-0.819043\pi\) |
0.251601 | + | 0.967831i | \(0.419043\pi\) | |||||||
\(822\) | −0.981146 | − | 0.847660i | −0.0342214 | − | 0.0295655i | ||||
\(823\) | 10.3124 | + | 3.35070i | 0.359468 | + | 0.116798i | 0.483182 | − | 0.875520i | \(-0.339481\pi\) |
−0.123715 | + | 0.992318i | \(0.539481\pi\) | |||||||
\(824\) | 7.46983 | + | 10.2813i | 0.260224 | + | 0.358167i | ||||
\(825\) | 2.32119 | + | 0.976945i | 0.0808134 | + | 0.0340128i | ||||
\(826\) | 1.39901 | + | 4.30571i | 0.0486778 | + | 0.149815i | ||||
\(827\) | −32.4643 | − | 23.5867i | −1.12889 | − | 0.820190i | −0.143361 | − | 0.989670i | \(-0.545791\pi\) |
−0.985533 | + | 0.169481i | \(0.945791\pi\) | |||||||
\(828\) | 2.79143 | + | 19.0199i | 0.0970090 | + | 0.660985i | ||||
\(829\) | −25.7783 | − | 8.37588i | −0.895318 | − | 0.290906i | −0.175015 | − | 0.984566i | \(-0.555997\pi\) |
−0.720303 | + | 0.693659i | \(0.755997\pi\) | |||||||
\(830\) | −0.168363 | − | 0.518168i | −0.00584397 | − | 0.0179859i | ||||
\(831\) | 0.410188 | + | 1.75233i | 0.0142293 | + | 0.0607876i | ||||
\(832\) | − | 1.43551i | − | 0.0497672i | ||||||
\(833\) | −2.49303 | − | 7.67275i | −0.0863783 | − | 0.265845i | ||||
\(834\) | −13.2654 | + | 15.3544i | −0.459342 | + | 0.531678i | ||||
\(835\) | 2.18656 | − | 3.00954i | 0.0756691 | − | 0.104150i | ||||
\(836\) | 1.07966 | 0.0373408 | ||||||||
\(837\) | 13.2628 | − | 25.7118i | 0.458428 | − | 0.888731i | ||||
\(838\) | −9.68564 | −0.334585 | ||||||||
\(839\) | −23.8321 | + | 32.8020i | −0.822774 | + | 1.13245i | 0.166451 | + | 0.986050i | \(0.446769\pi\) |
−0.989225 | + | 0.146402i | \(0.953231\pi\) | |||||||
\(840\) | 0.764866 | − | 0.885315i | 0.0263904 | − | 0.0305463i | ||||
\(841\) | −3.62112 | − | 11.1447i | −0.124866 | − | 0.384299i | ||||
\(842\) | 36.4030i | 1.25453i | ||||||||
\(843\) | 1.07830 | + | 4.60649i | 0.0371385 | + | 0.158656i | ||||
\(844\) | −2.37657 | − | 7.31432i | −0.0818048 | − | 0.251769i | ||||
\(845\) | −10.4039 | − | 3.38044i | −0.357906 | − | 0.116291i | ||||
\(846\) | −3.84487 | − | 26.1976i | −0.132190 | − | 0.900693i | ||||
\(847\) | 4.85588 | + | 3.52801i | 0.166850 | + | 0.121224i | ||||
\(848\) | 1.25122 | + | 3.85086i | 0.0429671 | + | 0.132239i | ||||
\(849\) | −14.9223 | − | 6.28053i | −0.512133 | − | 0.215547i | ||||
\(850\) | −0.724666 | − | 0.997417i | −0.0248558 | − | 0.0342111i | ||||
\(851\) | 29.8045 | + | 9.68408i | 1.02169 | + | 0.331966i | ||||
\(852\) | −2.58949 | − | 2.23719i | −0.0887145 | − | 0.0766448i | ||||
\(853\) | −10.3520 | + | 7.52118i | −0.354446 | + | 0.257520i | −0.750732 | − | 0.660607i | \(-0.770299\pi\) |
0.396286 | + | 0.918127i | \(0.370299\pi\) | |||||||
\(854\) | 0.0262433 | − | 0.0807684i | 0.000898026 | − | 0.00276384i | ||||
\(855\) | 1.97323 | + | 1.03380i | 0.0674829 | + | 0.0353552i | ||||
\(856\) | 4.20545 | + | 3.05544i | 0.143739 | + | 0.104433i | ||||
\(857\) | 9.42017 | − | 3.06080i | 0.321787 | − | 0.104555i | −0.143670 | − | 0.989626i | \(-0.545890\pi\) |
0.465456 | + | 0.885071i | \(0.345890\pi\) | |||||||
\(858\) | −3.33208 | − | 1.40241i | −0.113755 | − | 0.0478775i | ||||
\(859\) | −14.7538 | − | 4.79379i | −0.503392 | − | 0.163562i | 0.0463032 | − | 0.998927i | \(-0.485256\pi\) |
−0.549695 | + | 0.835366i | \(0.685256\pi\) | |||||||
\(860\) | 0.0470570 | − | 0.144826i | 0.00160463 | − | 0.00493854i | ||||
\(861\) | 3.28688 | − | 1.98862i | 0.112017 | − | 0.0677720i | ||||
\(862\) | 32.0120 | 1.09033 | ||||||||
\(863\) | 26.9284 | 0.916653 | 0.458326 | − | 0.888784i | \(-0.348449\pi\) | ||||
0.458326 | + | 0.888784i | \(0.348449\pi\) | |||||||
\(864\) | −2.79005 | + | 4.38356i | −0.0949195 | + | 0.149132i | ||||
\(865\) | 1.12286 | − | 0.815807i | 0.0381784 | − | 0.0277383i | ||||
\(866\) | −7.21923 | − | 5.24508i | −0.245319 | − | 0.178235i | ||||
\(867\) | 26.1065 | − | 6.11105i | 0.886622 | − | 0.207542i | ||||
\(868\) | 2.47678 | + | 2.83017i | 0.0840672 | + | 0.0960623i | ||||
\(869\) | − | 8.91597i | − | 0.302453i | ||||||
\(870\) | −6.63653 | − | 2.79319i | −0.224999 | − | 0.0946980i | ||||
\(871\) | 5.19532 | + | 7.15075i | 0.176037 | + | 0.242294i | ||||
\(872\) | 7.12755 | − | 2.31588i | 0.241369 | − | 0.0784256i | ||||
\(873\) | −12.4429 | + | 6.16302i | −0.421129 | + | 0.208586i | ||||
\(874\) | − | 4.75813i | − | 0.160946i | ||||||
\(875\) | −0.642416 | + | 0.208734i | −0.0217176 | + | 0.00705648i | ||||
\(876\) | 10.5332 | + | 0.889186i | 0.355884 | + | 0.0300428i | ||||
\(877\) | 16.5931 | − | 51.0683i | 0.560309 | − | 1.72445i | −0.121186 | − | 0.992630i | \(-0.538670\pi\) |
0.681495 | − | 0.731823i | \(-0.261330\pi\) | |||||||
\(878\) | −2.97754 | + | 4.09823i | −0.100487 | + | 0.138308i | ||||
\(879\) | 34.0861 | − | 20.6227i | 1.14969 | − | 0.695586i | ||||
\(880\) | 0.854639 | − | 1.17631i | 0.0288099 | − | 0.0396534i | ||||
\(881\) | −8.07539 | + | 5.86711i | −0.272067 | + | 0.197668i | −0.715450 | − | 0.698664i | \(-0.753778\pi\) |
0.443383 | + | 0.896332i | \(0.353778\pi\) | |||||||
\(882\) | 19.4231 | − | 2.85062i | 0.654011 | − | 0.0959854i | ||||
\(883\) | −2.73934 | − | 3.77038i | −0.0921862 | − | 0.126883i | 0.760433 | − | 0.649417i | \(-0.224987\pi\) |
−0.852619 | + | 0.522534i | \(0.824987\pi\) | |||||||
\(884\) | 1.04026 | + | 1.43180i | 0.0349878 | + | 0.0481566i | ||||
\(885\) | −0.976516 | + | 11.5677i | −0.0328252 | + | 0.388844i | ||||
\(886\) | 15.0133 | − | 10.9078i | 0.504383 | − | 0.366456i | ||||
\(887\) | −10.1362 | + | 13.9513i | −0.340341 | + | 0.468439i | −0.944541 | − | 0.328394i | \(-0.893493\pi\) |
0.604200 | + | 0.796833i | \(0.293493\pi\) | |||||||
\(888\) | 4.38489 | + | 7.24753i | 0.147147 | + | 0.243211i | ||||
\(889\) | 2.36414 | − | 3.25396i | 0.0792906 | − | 0.109134i | ||||
\(890\) | 0.767608 | − | 2.36245i | 0.0257303 | − | 0.0791896i | ||||
\(891\) | 7.44935 | + | 10.7587i | 0.249562 | + | 0.360431i | ||||
\(892\) | 4.51585 | − | 1.46729i | 0.151202 | − | 0.0491285i | ||||
\(893\) | 6.55377i | 0.219314i | ||||||||
\(894\) | −36.5830 | + | 8.56340i | −1.22352 | + | 0.286403i | ||||
\(895\) | 23.5792 | − | 7.66133i | 0.788165 | − | 0.256090i | ||||
\(896\) | −0.397035 | − | 0.546471i | −0.0132640 | − | 0.0182563i | ||||
\(897\) | −6.18051 | + | 14.6847i | −0.206361 | + | 0.490307i | ||||
\(898\) | 5.69366i | 0.190000i | ||||||||
\(899\) | 11.8551 | − | 19.8794i | 0.395390 | − | 0.663016i | ||||
\(900\) | 2.68831 | − | 1.33153i | 0.0896104 | − | 0.0443843i | ||||
\(901\) | −4.03858 | − | 2.93420i | −0.134545 | − | 0.0977523i | ||||
\(902\) | 3.86250 | − | 2.80627i | 0.128607 | − | 0.0934385i | ||||
\(903\) | −0.152433 | + | 0.0922247i | −0.00507266 | + | 0.00306905i | ||||
\(904\) | 3.00338 | 0.0998908 | ||||||||
\(905\) | 3.46365 | 0.115136 | ||||||||
\(906\) | 7.47636 | + | 12.3572i | 0.248385 | + | 0.410542i | ||||
\(907\) | 12.4787 | − | 38.4055i | 0.414348 | − | 1.27523i | −0.498484 | − | 0.866899i | \(-0.666110\pi\) |
0.912833 | − | 0.408334i | \(-0.133890\pi\) | |||||||
\(908\) | 16.6617 | + | 5.41370i | 0.552937 | + | 0.179660i | ||||
\(909\) | 5.55600 | − | 32.6734i | 0.184281 | − | 1.08371i | ||||
\(910\) | 0.922191 | − | 0.299638i | 0.0305703 | − | 0.00993291i | ||||
\(911\) | 46.3134 | + | 33.6486i | 1.53443 | + | 1.11483i | 0.953710 | + | 0.300727i | \(0.0972292\pi\) |
0.580721 | + | 0.814103i | \(0.302771\pi\) | |||||||
\(912\) | 0.840812 | − | 0.973220i | 0.0278421 | − | 0.0322265i | ||||
\(913\) | −0.244800 | + | 0.753416i | −0.00810169 | + | 0.0249344i | ||||
\(914\) | −14.6702 | + | 10.6586i | −0.485248 | + | 0.352554i | ||||
\(915\) | 0.142364 | − | 0.164783i | 0.00470642 | − | 0.00544757i | ||||
\(916\) | −2.90736 | − | 0.944660i | −0.0960620 | − | 0.0312124i | ||||
\(917\) | 7.33957 | + | 10.1021i | 0.242374 | + | 0.333599i | ||||
\(918\) | −0.393773 | − | 6.39409i | −0.0129965 | − | 0.211037i | ||||
\(919\) | −2.66559 | − | 8.20384i | −0.0879297 | − | 0.270620i | 0.897417 | − | 0.441183i | \(-0.145441\pi\) |
−0.985347 | + | 0.170564i | \(0.945441\pi\) | |||||||
\(920\) | −5.18407 | − | 3.76645i | −0.170914 | − | 0.124176i | ||||
\(921\) | −3.26242 | + | 38.6463i | −0.107500 | + | 1.27344i | ||||
\(922\) | 23.5317 | + | 7.64593i | 0.774977 | + | 0.251805i | ||||
\(923\) | −0.876423 | − | 2.69735i | −0.0288478 | − | 0.0887844i | ||||
\(924\) | −1.65634 | + | 0.387720i | −0.0544897 | + | 0.0127550i | ||||
\(925\) | − | 4.89060i | − | 0.160802i | ||||||
\(926\) | 6.79662 | + | 20.9178i | 0.223351 | + | 0.687403i | ||||
\(927\) | 17.6931 | − | 33.7711i | 0.581119 | − | 1.10919i | ||||
\(928\) | −2.44350 | + | 3.36320i | −0.0802120 | + | 0.110402i | ||||
\(929\) | −29.4226 | −0.965324 | −0.482662 | − | 0.875807i | \(-0.660330\pi\) | ||||
−0.482662 | + | 0.875807i | \(0.660330\pi\) | |||||||
\(930\) | 3.03840 | + | 9.15249i | 0.0996332 | + | 0.300122i | ||||
\(931\) | −4.85902 | −0.159248 | ||||||||
\(932\) | −8.82310 | + | 12.1440i | −0.289010 | + | 0.397789i | ||||
\(933\) | −15.1085 | − | 13.0530i | −0.494630 | − | 0.427335i | ||||
\(934\) | −6.16261 | − | 18.9666i | −0.201647 | − | 0.620605i | ||||
\(935\) | 1.79260i | 0.0586242i | ||||||||
\(936\) | −3.85909 | + | 1.91142i | −0.126138 | + | 0.0624767i | ||||
\(937\) | 2.31253 | + | 7.11725i | 0.0755472 | + | 0.232510i | 0.981698 | − | 0.190444i | \(-0.0609929\pi\) |
−0.906151 | + | 0.422955i | \(0.860993\pi\) | |||||||
\(938\) | 3.95553 | + | 1.28523i | 0.129153 | + | 0.0419643i | ||||
\(939\) | −3.93787 | − | 0.332425i | −0.128508 | − | 0.0108483i | ||||
\(940\) | 7.14046 | + | 5.18784i | 0.232896 | + | 0.169209i | ||||
\(941\) | −1.72558 | − | 5.31080i | −0.0562524 | − | 0.173127i | 0.918983 | − | 0.394298i | \(-0.129012\pi\) |
−0.975235 | + | 0.221171i | \(0.929012\pi\) | |||||||
\(942\) | 4.28723 | − | 10.1863i | 0.139686 | − | 0.331888i | ||||
\(943\) | −12.3674 | − | 17.0223i | −0.402738 | − | 0.554321i | ||||
\(944\) | 6.37434 | + | 2.07115i | 0.207467 | + | 0.0674101i | ||||
\(945\) | −3.39845 | − | 0.877376i | −0.110551 | − | 0.0285411i | ||||
\(946\) | −0.179128 | + | 0.130144i | −0.00582395 | + | 0.00423135i | ||||
\(947\) | −4.42399 | + | 13.6156i | −0.143760 | + | 0.442449i | −0.996849 | − | 0.0793164i | \(-0.974726\pi\) |
0.853089 | + | 0.521765i | \(0.174726\pi\) | |||||||
\(948\) | −8.03697 | − | 6.94353i | −0.261029 | − | 0.225515i | ||||
\(949\) | 7.08769 | + | 5.14951i | 0.230076 | + | 0.167160i | ||||
\(950\) | −0.706203 | + | 0.229459i | −0.0229122 | + | 0.00744464i | ||||
\(951\) | 6.10862 | − | 14.5139i | 0.198086 | − | 0.470645i | ||||
\(952\) | 0.792018 | + | 0.257342i | 0.0256695 | + | 0.00834051i | ||||
\(953\) | 3.07800 | − | 9.47311i | 0.0997062 | − | 0.306864i | −0.888745 | − | 0.458401i | \(-0.848422\pi\) |
0.988452 | + | 0.151537i | \(0.0484223\pi\) | |||||||
\(954\) | 8.68629 | − | 8.49121i | 0.281229 | − | 0.274913i | ||||
\(955\) | 5.11410 | 0.165488 | ||||||||
\(956\) | 22.7733 | 0.736542 | ||||||||
\(957\) | 5.41944 | + | 8.95749i | 0.175186 | + | 0.289555i | ||||
\(958\) | −1.66120 | + | 1.20693i | −0.0536708 | + | 0.0389941i | ||||
\(959\) | −0.409085 | − | 0.297217i | −0.0132100 | − | 0.00959765i | ||||
\(960\) | −0.394770 | − | 1.68646i | −0.0127412 | − | 0.0544304i | ||||
\(961\) | −30.4926 | + | 5.58569i | −0.983633 | + | 0.180183i | ||||
\(962\) | 7.02049i | 0.226350i | ||||||||
\(963\) | 2.61429 | − | 15.3740i | 0.0842443 | − | 0.495419i | ||||
\(964\) | −2.08782 | − | 2.87363i | −0.0672441 | − | 0.0925535i | ||||
\(965\) | −16.7430 | + | 5.44011i | −0.538975 | + | 0.175123i | ||||
\(966\) | 1.70871 | + | 7.29962i | 0.0549767 | + | 0.234861i | ||||
\(967\) | − | 48.4499i | − | 1.55804i | −0.626996 | − | 0.779022i | \(-0.715716\pi\) | ||
0.626996 | − | 0.779022i | \(-0.284284\pi\) | |||||||
\(968\) | 8.45098 | − | 2.74589i | 0.271625 | − | 0.0882563i | ||||
\(969\) | −0.133381 | + | 1.58001i | −0.00428480 | + | 0.0507574i | ||||
\(970\) | 1.43029 | − | 4.40198i | 0.0459239 | − | 0.141339i | ||||
\(971\) | 9.49673 | − | 13.0711i | 0.304765 | − | 0.419473i | −0.628975 | − | 0.777426i | \(-0.716525\pi\) |
0.933740 | + | 0.357953i | \(0.116525\pi\) | |||||||
\(972\) | 15.4994 | + | 1.66369i | 0.497144 | + | 0.0533627i | ||||
\(973\) | −4.65128 | + | 6.40193i | −0.149113 | + | 0.205237i | ||||
\(974\) | 25.4246 | − | 18.4721i | 0.814658 | − | 0.591883i | ||||
\(975\) | 2.47756 | + | 0.209149i | 0.0793453 | + | 0.00669812i | ||||
\(976\) | −0.0739000 | − | 0.101715i | −0.00236548 | − | 0.00325580i | ||||
\(977\) | −13.1094 | − | 18.0435i | −0.419406 | − | 0.577263i | 0.546075 | − | 0.837736i | \(-0.316121\pi\) |
−0.965481 | + | 0.260474i | \(0.916121\pi\) | |||||||
\(978\) | −36.2215 | − | 3.05772i | −1.15823 | − | 0.0977751i | ||||
\(979\) | −2.92199 | + | 2.12295i | −0.0933872 | + | 0.0678498i | ||||
\(980\) | −3.84631 | + | 5.29399i | −0.122866 | + | 0.169110i | ||||
\(981\) | −15.7164 | − | 16.0774i | −0.501785 | − | 0.513312i | ||||
\(982\) | −22.8832 | + | 31.4960i | −0.730233 | + | 1.00508i | ||||
\(983\) | −18.0009 | + | 55.4010i | −0.574139 | + | 1.76702i | 0.0649529 | + | 0.997888i | \(0.479310\pi\) |
−0.639092 | + | 0.769130i | \(0.720690\pi\) | |||||||
\(984\) | 0.478406 | − | 5.66715i | 0.0152510 | − | 0.180662i | ||||
\(985\) | 0.343418 | − | 0.111583i | 0.0109422 | − | 0.00355534i | ||||
\(986\) | − | 5.12523i | − | 0.163221i | ||||||
\(987\) | −2.35354 | − | 10.0544i | −0.0749141 | − | 0.320034i | ||||
\(988\) | 1.01376 | − | 0.329390i | 0.0322519 | − | 0.0104793i | ||||
\(989\) | 0.573553 | + | 0.789428i | 0.0182379 | + | 0.0251024i | ||||
\(990\) | −4.30027 | − | 0.731245i | −0.136671 | − | 0.0232405i | ||||
\(991\) | 12.0194i | 0.381808i | 0.981609 | + | 0.190904i | \(0.0611419\pi\) | ||||
−0.981609 | + | 0.190904i | \(0.938858\pi\) | |||||||
\(992\) | 5.54494 | − | 0.503674i | 0.176052 | − | 0.0159917i | ||||
\(993\) | 10.4928 | + | 44.8255i | 0.332980 | + | 1.42249i | ||||
\(994\) | −1.07968 | − | 0.784432i | −0.0342453 | − | 0.0248807i | ||||
\(995\) | 14.2598 | − | 10.3604i | 0.452067 | − | 0.328446i | ||||
\(996\) | 0.488495 | + | 0.807407i | 0.0154786 | + | 0.0255837i | ||||
\(997\) | 27.5953 | 0.873951 | 0.436976 | − | 0.899473i | \(-0.356050\pi\) | ||||
0.436976 | + | 0.899473i | \(0.356050\pi\) | |||||||
\(998\) | −23.7812 | −0.752782 | ||||||||
\(999\) | 13.6450 | − | 21.4383i | 0.431710 | − | 0.678277i |
(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 | 930.2.v.a.401.7 | ✓ | 80 | |
3.2 | odd | 2 | inner | 930.2.v.a.401.11 | yes | 80 | |
31.15 | odd | 10 | inner | 930.2.v.a.821.11 | yes | 80 | |
93.77 | even | 10 | inner | 930.2.v.a.821.7 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.v.a.401.7 | ✓ | 80 | 1.1 | even | 1 | trivial | |
930.2.v.a.401.11 | yes | 80 | 3.2 | odd | 2 | inner | |
930.2.v.a.821.7 | yes | 80 | 93.77 | even | 10 | inner | |
930.2.v.a.821.11 | yes | 80 | 31.15 | odd | 10 | inner |