Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,2,Mod(7,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(44))
chi = DirichletCharacter(H, H._module([0, 11, 38]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.w (of order \(44\), degree \(20\), 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: | \(5.50967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(12\) over \(\Q(\zeta_{44})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{44}]$ |
Embedding invariants
Embedding label | 7.7 | ||
Character | \(\chi\) | \(=\) | 690.7 |
Dual form | 690.2.w.a.493.7 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(e\left(\frac{19}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997452 | − | 0.0713392i | 0.705305 | − | 0.0504444i | ||||
\(3\) | −0.212565 | + | 0.977147i | −0.122725 | + | 0.564156i | ||||
\(4\) | 0.989821 | − | 0.142315i | 0.494911 | − | 0.0711574i | ||||
\(5\) | −2.14628 | − | 0.627266i | −0.959848 | − | 0.280522i | ||||
\(6\) | −0.142315 | + | 0.989821i | −0.0580998 | + | 0.404093i | ||||
\(7\) | −0.236933 | + | 0.433910i | −0.0895521 | + | 0.164002i | −0.918616 | − | 0.395151i | \(-0.870692\pi\) |
0.829064 | + | 0.559154i | \(0.188874\pi\) | |||||||
\(8\) | 0.977147 | − | 0.212565i | 0.345474 | − | 0.0751532i | ||||
\(9\) | −0.909632 | − | 0.415415i | −0.303211 | − | 0.138472i | ||||
\(10\) | −2.18556 | − | 0.472554i | −0.691136 | − | 0.149435i | ||||
\(11\) | −3.22211 | + | 2.79198i | −0.971503 | + | 0.841812i | −0.987429 | − | 0.158061i | \(-0.949476\pi\) |
0.0159262 | + | 0.999873i | \(0.494930\pi\) | |||||||
\(12\) | −0.0713392 | + | 0.997452i | −0.0205938 | + | 0.287940i | ||||
\(13\) | −4.47532 | + | 2.44371i | −1.24123 | + | 0.677763i | −0.959494 | − | 0.281729i | \(-0.909092\pi\) |
−0.281736 | + | 0.959492i | \(0.590910\pi\) | |||||||
\(14\) | −0.205374 | + | 0.449707i | −0.0548885 | + | 0.120189i | ||||
\(15\) | 1.06916 | − | 1.96390i | 0.276055 | − | 0.507077i | ||||
\(16\) | 0.959493 | − | 0.281733i | 0.239873 | − | 0.0704331i | ||||
\(17\) | 4.21004 | + | 5.62395i | 1.02108 | + | 1.36401i | 0.929751 | + | 0.368189i | \(0.120022\pi\) |
0.0913334 | + | 0.995820i | \(0.470887\pi\) | |||||||
\(18\) | −0.936950 | − | 0.349464i | −0.220841 | − | 0.0823695i | ||||
\(19\) | 1.01115 | + | 7.03273i | 0.231975 | + | 1.61342i | 0.689543 | + | 0.724244i | \(0.257811\pi\) |
−0.457569 | + | 0.889174i | \(0.651280\pi\) | |||||||
\(20\) | −2.21371 | − | 0.315433i | −0.495000 | − | 0.0705330i | ||||
\(21\) | −0.373630 | − | 0.323752i | −0.0815327 | − | 0.0706485i | ||||
\(22\) | −3.01472 | + | 3.01472i | −0.642741 | + | 0.642741i | ||||
\(23\) | −1.95743 | − | 4.37818i | −0.408153 | − | 0.912914i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | 4.21307 | + | 2.69258i | 0.842615 | + | 0.538516i | ||||
\(26\) | −4.28958 | + | 2.75675i | −0.841257 | + | 0.540643i | ||||
\(27\) | 0.599278 | − | 0.800541i | 0.115331 | − | 0.154064i | ||||
\(28\) | −0.172769 | + | 0.463212i | −0.0326503 | + | 0.0875389i | ||||
\(29\) | −4.61015 | − | 0.662840i | −0.856084 | − | 0.123086i | −0.299722 | − | 0.954027i | \(-0.596894\pi\) |
−0.556362 | + | 0.830940i | \(0.687803\pi\) | |||||||
\(30\) | 0.926329 | − | 2.03517i | 0.169124 | − | 0.371569i | ||||
\(31\) | 0.0976994 | + | 0.0627876i | 0.0175473 | + | 0.0112770i | 0.549385 | − | 0.835569i | \(-0.314862\pi\) |
−0.531838 | + | 0.846846i | \(0.678498\pi\) | |||||||
\(32\) | 0.936950 | − | 0.349464i | 0.165631 | − | 0.0617771i | ||||
\(33\) | −2.04326 | − | 3.74195i | −0.355686 | − | 0.651390i | ||||
\(34\) | 4.60052 | + | 5.30928i | 0.788983 | + | 0.910535i | ||||
\(35\) | 0.780701 | − | 0.782674i | 0.131963 | − | 0.132296i | ||||
\(36\) | −0.959493 | − | 0.281733i | −0.159915 | − | 0.0469554i | ||||
\(37\) | −1.46440 | − | 3.92621i | −0.240746 | − | 0.645466i | 0.759239 | − | 0.650811i | \(-0.225571\pi\) |
−0.999986 | + | 0.00534568i | \(0.998298\pi\) | |||||||
\(38\) | 1.51029 | + | 6.94268i | 0.245001 | + | 1.12625i | ||||
\(39\) | −1.43657 | − | 4.89249i | −0.230035 | − | 0.783426i | ||||
\(40\) | −2.23057 | − | 0.156705i | −0.352684 | − | 0.0247773i | ||||
\(41\) | −3.92166 | − | 8.58723i | −0.612460 | − | 1.34110i | −0.920878 | − | 0.389850i | \(-0.872527\pi\) |
0.308418 | − | 0.951251i | \(-0.400200\pi\) | |||||||
\(42\) | −0.395774 | − | 0.296273i | −0.0610693 | − | 0.0457159i | ||||
\(43\) | 7.47099 | + | 1.62521i | 1.13931 | + | 0.247843i | 0.742364 | − | 0.669997i | \(-0.233705\pi\) |
0.396951 | + | 0.917840i | \(0.370068\pi\) | |||||||
\(44\) | −2.79198 | + | 3.22211i | −0.420906 | + | 0.485752i | ||||
\(45\) | 1.69175 | + | 1.46218i | 0.252192 | + | 0.217969i | ||||
\(46\) | −2.26478 | − | 4.22738i | −0.333924 | − | 0.623294i | ||||
\(47\) | 0.867374 | + | 0.867374i | 0.126519 | + | 0.126519i | 0.767531 | − | 0.641012i | \(-0.221485\pi\) |
−0.641012 | + | 0.767531i | \(0.721485\pi\) | |||||||
\(48\) | 0.0713392 | + | 0.997452i | 0.0102969 | + | 0.143970i | ||||
\(49\) | 3.65235 | + | 5.68316i | 0.521764 | + | 0.811880i | ||||
\(50\) | 4.39443 | + | 2.38516i | 0.621466 | + | 0.337313i | ||||
\(51\) | −6.39034 | + | 2.91837i | −0.894826 | + | 0.408653i | ||||
\(52\) | −4.08199 | + | 3.05574i | −0.566070 | + | 0.423755i | ||||
\(53\) | −8.31202 | − | 4.53871i | −1.14174 | − | 0.623439i | −0.206852 | − | 0.978372i | \(-0.566322\pi\) |
−0.934892 | + | 0.354933i | \(0.884504\pi\) | |||||||
\(54\) | 0.540641 | − | 0.841254i | 0.0735719 | − | 0.114480i | ||||
\(55\) | 8.66688 | − | 3.97125i | 1.16864 | − | 0.535484i | ||||
\(56\) | −0.139284 | + | 0.474357i | −0.0186126 | + | 0.0633886i | ||||
\(57\) | −7.08695 | − | 0.506868i | −0.938689 | − | 0.0671364i | ||||
\(58\) | −4.64569 | − | 0.332266i | −0.610009 | − | 0.0436287i | ||||
\(59\) | −1.73857 | + | 5.92101i | −0.226342 | + | 0.770850i | 0.765507 | + | 0.643428i | \(0.222488\pi\) |
−0.991849 | + | 0.127422i | \(0.959330\pi\) | |||||||
\(60\) | 0.778782 | − | 2.09607i | 0.100540 | − | 0.270601i | ||||
\(61\) | −2.51209 | + | 3.90888i | −0.321640 | + | 0.500481i | −0.963993 | − | 0.265928i | \(-0.914322\pi\) |
0.642353 | + | 0.766409i | \(0.277958\pi\) | |||||||
\(62\) | 0.101930 | + | 0.0556578i | 0.0129451 | + | 0.00706855i | ||||
\(63\) | 0.395774 | − | 0.296273i | 0.0498628 | − | 0.0373269i | ||||
\(64\) | 0.909632 | − | 0.415415i | 0.113704 | − | 0.0519269i | ||||
\(65\) | 11.1382 | − | 2.43768i | 1.38152 | − | 0.302357i | ||||
\(66\) | −2.30500 | − | 3.58665i | −0.283726 | − | 0.441487i | ||||
\(67\) | −0.102805 | − | 1.43740i | −0.0125596 | − | 0.175606i | −0.999860 | − | 0.0167408i | \(-0.994671\pi\) |
0.987300 | − | 0.158865i | \(-0.0507836\pi\) | |||||||
\(68\) | 4.96756 | + | 4.96756i | 0.602405 | + | 0.602405i | ||||
\(69\) | 4.69421 | − | 0.982050i | 0.565116 | − | 0.118225i | ||||
\(70\) | 0.722877 | − | 0.836374i | 0.0864003 | − | 0.0999658i | ||||
\(71\) | −0.855805 | + | 0.987652i | −0.101565 | + | 0.117213i | −0.804256 | − | 0.594282i | \(-0.797436\pi\) |
0.702691 | + | 0.711495i | \(0.251982\pi\) | |||||||
\(72\) | −0.977147 | − | 0.212565i | −0.115158 | − | 0.0250511i | ||||
\(73\) | −4.89275 | − | 3.66267i | −0.572653 | − | 0.428683i | 0.273309 | − | 0.961926i | \(-0.411882\pi\) |
−0.845962 | + | 0.533244i | \(0.820973\pi\) | |||||||
\(74\) | −1.74076 | − | 3.81174i | −0.202360 | − | 0.443106i | ||||
\(75\) | −3.52660 | + | 3.54444i | −0.407217 | + | 0.409277i | ||||
\(76\) | 2.00172 | + | 6.81724i | 0.229613 | + | 0.781992i | ||||
\(77\) | −0.448042 | − | 2.05962i | −0.0510591 | − | 0.234715i | ||||
\(78\) | −1.78193 | − | 4.77754i | −0.201764 | − | 0.540950i | ||||
\(79\) | 6.31931 | + | 1.85552i | 0.710978 | + | 0.208762i | 0.617172 | − | 0.786829i | \(-0.288278\pi\) |
0.0938062 | + | 0.995590i | \(0.470097\pi\) | |||||||
\(80\) | −2.23607 | + | 0.00282101i | −0.250000 | + | 0.000315399i | ||||
\(81\) | 0.654861 | + | 0.755750i | 0.0727623 | + | 0.0839722i | ||||
\(82\) | −4.52427 | − | 8.28559i | −0.499622 | − | 0.914990i | ||||
\(83\) | 15.1240 | − | 5.64096i | 1.66008 | − | 0.619176i | 0.667925 | − | 0.744229i | \(-0.267183\pi\) |
0.992150 | + | 0.125053i | \(0.0399100\pi\) | |||||||
\(84\) | −0.415902 | − | 0.267284i | −0.0453786 | − | 0.0291630i | ||||
\(85\) | −5.50823 | − | 14.7114i | −0.597451 | − | 1.59568i | ||||
\(86\) | 7.56789 | + | 1.08810i | 0.816067 | + | 0.117333i | ||||
\(87\) | 1.62765 | − | 4.36390i | 0.174502 | − | 0.467859i | ||||
\(88\) | −2.55500 | + | 3.41308i | −0.272364 | + | 0.363835i | ||||
\(89\) | 7.84941 | − | 5.04451i | 0.832036 | − | 0.534717i | −0.0538882 | − | 0.998547i | \(-0.517161\pi\) |
0.885924 | + | 0.463830i | \(0.153525\pi\) | |||||||
\(90\) | 1.79175 | + | 1.33777i | 0.188867 | + | 0.141013i | ||||
\(91\) | − | 2.52088i | − | 0.264260i | ||||||
\(92\) | −2.56059 | − | 4.05504i | −0.266960 | − | 0.422768i | ||||
\(93\) | −0.0821202 | + | 0.0821202i | −0.00851547 | + | 0.00851547i | ||||
\(94\) | 0.927042 | + | 0.803286i | 0.0956170 | + | 0.0828526i | ||||
\(95\) | 2.24117 | − | 15.7285i | 0.229939 | − | 1.61371i | ||||
\(96\) | 0.142315 | + | 0.989821i | 0.0145249 | + | 0.101023i | ||||
\(97\) | 17.2808 | + | 6.44540i | 1.75460 | + | 0.654431i | 0.999998 | − | 0.00175624i | \(-0.000559030\pi\) |
0.754598 | + | 0.656187i | \(0.227832\pi\) | |||||||
\(98\) | 4.04847 | + | 5.40812i | 0.408957 | + | 0.546303i | ||||
\(99\) | 4.09076 | − | 1.20116i | 0.411137 | − | 0.120721i | ||||
\(100\) | 4.55339 | + | 2.06559i | 0.455339 | + | 0.206559i | ||||
\(101\) | −3.88350 | + | 8.50369i | −0.386423 | + | 0.846149i | 0.612045 | + | 0.790823i | \(0.290347\pi\) |
−0.998468 | + | 0.0553258i | \(0.982380\pi\) | |||||||
\(102\) | −6.16586 | + | 3.36681i | −0.610511 | + | 0.333364i | ||||
\(103\) | 0.733116 | − | 10.2503i | 0.0722361 | − | 1.00999i | −0.824050 | − | 0.566517i | \(-0.808291\pi\) |
0.896286 | − | 0.443476i | \(-0.146255\pi\) | |||||||
\(104\) | −3.85360 | + | 3.33916i | −0.377876 | + | 0.327432i | ||||
\(105\) | 0.598837 | + | 0.929229i | 0.0584405 | + | 0.0906835i | ||||
\(106\) | −8.61463 | − | 3.93417i | −0.836727 | − | 0.382120i | ||||
\(107\) | 0.672557 | − | 0.146306i | 0.0650185 | − | 0.0141439i | −0.179938 | − | 0.983678i | \(-0.557590\pi\) |
0.244957 | + | 0.969534i | \(0.421226\pi\) | |||||||
\(108\) | 0.479249 | − | 0.877679i | 0.0461158 | − | 0.0844547i | ||||
\(109\) | −1.98714 | + | 13.8208i | −0.190333 | + | 1.32380i | 0.640793 | + | 0.767713i | \(0.278606\pi\) |
−0.831127 | + | 0.556083i | \(0.812304\pi\) | |||||||
\(110\) | 8.36149 | − | 4.57942i | 0.797237 | − | 0.436631i | ||||
\(111\) | 4.14777 | − | 0.596359i | 0.393689 | − | 0.0566039i | ||||
\(112\) | −0.105089 | + | 0.483085i | −0.00992995 | + | 0.0456472i | ||||
\(113\) | −5.83590 | + | 0.417392i | −0.548996 | + | 0.0392649i | −0.343082 | − | 0.939305i | \(-0.611471\pi\) |
−0.205913 | + | 0.978570i | \(0.566016\pi\) | |||||||
\(114\) | −7.10505 | −0.665449 | ||||||||
\(115\) | 1.45492 | + | 10.6247i | 0.135672 | + | 0.990754i | ||||
\(116\) | −4.65756 | −0.432443 | ||||||||
\(117\) | 5.08605 | − | 0.363761i | 0.470205 | − | 0.0336297i | ||||
\(118\) | −1.31174 | + | 6.02995i | −0.120755 | + | 0.555102i | ||||
\(119\) | −3.43778 | + | 0.494279i | −0.315141 | + | 0.0453104i | ||||
\(120\) | 0.627266 | − | 2.14628i | 0.0572613 | − | 0.195928i | ||||
\(121\) | 1.02141 | − | 7.10408i | 0.0928556 | − | 0.645825i | ||||
\(122\) | −2.22683 | + | 4.07813i | −0.201608 | + | 0.369217i | ||||
\(123\) | 9.22460 | − | 2.00669i | 0.831754 | − | 0.180937i | ||||
\(124\) | 0.105641 | + | 0.0482444i | 0.00948681 | + | 0.00433248i | ||||
\(125\) | −7.35349 | − | 8.42177i | −0.657716 | − | 0.753266i | ||||
\(126\) | 0.373630 | − | 0.323752i | 0.0332856 | − | 0.0288421i | ||||
\(127\) | 0.0718953 | − | 1.00523i | 0.00637968 | − | 0.0891996i | −0.993265 | − | 0.115868i | \(-0.963035\pi\) |
0.999644 | + | 0.0266680i | \(0.00848971\pi\) | |||||||
\(128\) | 0.877679 | − | 0.479249i | 0.0775766 | − | 0.0423600i | ||||
\(129\) | −3.17614 | + | 6.95479i | −0.279644 | + | 0.612335i | ||||
\(130\) | 10.9359 | − | 3.22606i | 0.959140 | − | 0.282944i | ||||
\(131\) | −8.19505 | + | 2.40628i | −0.716005 | + | 0.210238i | −0.619390 | − | 0.785084i | \(-0.712620\pi\) |
−0.0966155 | + | 0.995322i | \(0.530802\pi\) | |||||||
\(132\) | −2.55500 | − | 3.41308i | −0.222384 | − | 0.297070i | ||||
\(133\) | −3.29114 | − | 1.22753i | −0.285378 | − | 0.106441i | ||||
\(134\) | −0.205086 | − | 1.42640i | −0.0177167 | − | 0.123222i | ||||
\(135\) | −1.78837 | + | 1.34228i | −0.153919 | + | 0.115525i | ||||
\(136\) | 5.30928 | + | 4.60052i | 0.455267 | + | 0.394491i | ||||
\(137\) | −14.7877 | + | 14.7877i | −1.26340 | + | 1.26340i | −0.313963 | + | 0.949435i | \(0.601657\pi\) |
−0.949435 | + | 0.313963i | \(0.898343\pi\) | |||||||
\(138\) | 4.61219 | − | 1.31443i | 0.392616 | − | 0.111892i | ||||
\(139\) | − | 0.109697i | − | 0.00930434i | −0.999989 | − | 0.00465217i | \(-0.998519\pi\) | ||
0.999989 | − | 0.00465217i | \(-0.00148084\pi\) | |||||||
\(140\) | 0.661369 | − | 0.885813i | 0.0558959 | − | 0.0748648i | ||||
\(141\) | −1.03193 | + | 0.663178i | −0.0869038 | + | 0.0558497i | ||||
\(142\) | −0.783166 | + | 1.04619i | −0.0657219 | + | 0.0877941i | ||||
\(143\) | 7.59720 | − | 20.3689i | 0.635310 | − | 1.70333i | ||||
\(144\) | −0.989821 | − | 0.142315i | −0.0824851 | − | 0.0118596i | ||||
\(145\) | 9.47892 | + | 4.31443i | 0.787182 | + | 0.358294i | ||||
\(146\) | −5.14158 | − | 3.30429i | −0.425520 | − | 0.273465i | ||||
\(147\) | −6.32964 | + | 2.36084i | −0.522060 | + | 0.194718i | ||||
\(148\) | −2.00826 | − | 3.67785i | −0.165078 | − | 0.302317i | ||||
\(149\) | 11.4743 | + | 13.2421i | 0.940014 | + | 1.08483i | 0.996259 | + | 0.0864169i | \(0.0275417\pi\) |
−0.0562452 | + | 0.998417i | \(0.517913\pi\) | |||||||
\(150\) | −3.26476 | + | 3.78700i | −0.266566 | + | 0.309207i | ||||
\(151\) | −9.46791 | − | 2.78003i | −0.770488 | − | 0.226236i | −0.127217 | − | 0.991875i | \(-0.540605\pi\) |
−0.643270 | + | 0.765639i | \(0.722423\pi\) | |||||||
\(152\) | 2.48296 | + | 6.65707i | 0.201395 | + | 0.539960i | ||||
\(153\) | −1.49331 | − | 6.86464i | −0.120727 | − | 0.554973i | ||||
\(154\) | −0.593832 | − | 2.02240i | −0.0478523 | − | 0.162970i | ||||
\(155\) | −0.170306 | − | 0.196044i | −0.0136793 | − | 0.0157466i | ||||
\(156\) | −2.11822 | − | 4.63825i | −0.169593 | − | 0.371357i | ||||
\(157\) | 10.7222 | + | 8.02656i | 0.855727 | + | 0.640589i | 0.934366 | − | 0.356314i | \(-0.115967\pi\) |
−0.0786394 | + | 0.996903i | \(0.525058\pi\) | |||||||
\(158\) | 6.43558 | + | 1.39997i | 0.511987 | + | 0.111376i | ||||
\(159\) | 6.20183 | − | 7.15729i | 0.491837 | − | 0.567610i | ||||
\(160\) | −2.23017 | + | 0.162333i | −0.176310 | + | 0.0128335i | ||||
\(161\) | 2.36351 | + | 0.187985i | 0.186271 | + | 0.0148153i | ||||
\(162\) | 0.707107 | + | 0.707107i | 0.0555556 | + | 0.0555556i | ||||
\(163\) | 0.117423 | + | 1.64179i | 0.00919730 | + | 0.128595i | 0.999976 | − | 0.00689326i | \(-0.00219421\pi\) |
−0.990779 | + | 0.135488i | \(0.956740\pi\) | |||||||
\(164\) | −5.10383 | − | 7.94172i | −0.398542 | − | 0.620144i | ||||
\(165\) | 2.03822 | + | 9.31296i | 0.158675 | + | 0.725013i | ||||
\(166\) | 14.6830 | − | 6.70552i | 1.13963 | − | 0.520450i | ||||
\(167\) | 10.5438 | − | 7.89300i | 0.815905 | − | 0.610779i | −0.107675 | − | 0.994186i | \(-0.534340\pi\) |
0.923579 | + | 0.383408i | \(0.125250\pi\) | |||||||
\(168\) | −0.433910 | − | 0.236933i | −0.0334769 | − | 0.0182797i | ||||
\(169\) | 7.02843 | − | 10.9365i | 0.540649 | − | 0.841266i | ||||
\(170\) | −6.54369 | − | 14.2810i | −0.501878 | − | 1.09530i | ||||
\(171\) | 2.00172 | − | 6.81724i | 0.153076 | − | 0.521328i | ||||
\(172\) | 7.62623 | + | 0.545439i | 0.581495 | + | 0.0415893i | ||||
\(173\) | −2.92036 | − | 0.208869i | −0.222031 | − | 0.0158800i | −0.0401196 | − | 0.999195i | \(-0.512774\pi\) |
−0.181912 | + | 0.983315i | \(0.558228\pi\) | |||||||
\(174\) | 1.31219 | − | 4.46889i | 0.0994766 | − | 0.338786i | ||||
\(175\) | −2.16655 | + | 1.19013i | −0.163776 | + | 0.0899656i | ||||
\(176\) | −2.30500 | + | 3.58665i | −0.173746 | + | 0.270354i | ||||
\(177\) | −5.41614 | − | 2.95743i | −0.407102 | − | 0.222294i | ||||
\(178\) | 7.46954 | − | 5.59163i | 0.559866 | − | 0.419110i | ||||
\(179\) | 10.5319 | − | 4.80975i | 0.787190 | − | 0.359498i | 0.0190819 | − | 0.999818i | \(-0.493926\pi\) |
0.768108 | + | 0.640320i | \(0.221198\pi\) | |||||||
\(180\) | 1.88262 | + | 1.20654i | 0.140322 | + | 0.0899298i | ||||
\(181\) | 12.1550 | + | 18.9135i | 0.903471 | + | 1.40583i | 0.913925 | + | 0.405882i | \(0.133036\pi\) |
−0.0104548 | + | 0.999945i | \(0.503328\pi\) | |||||||
\(182\) | −0.179837 | − | 2.51446i | −0.0133304 | − | 0.186384i | ||||
\(183\) | −3.28557 | − | 3.28557i | −0.242876 | − | 0.242876i | ||||
\(184\) | −2.84335 | − | 3.86204i | −0.209614 | − | 0.284714i | ||||
\(185\) | 0.680244 | + | 9.34534i | 0.0500125 | + | 0.687083i | ||||
\(186\) | −0.0760526 | + | 0.0877694i | −0.00557645 | + | 0.00643556i | ||||
\(187\) | −29.2672 | − | 6.36668i | −2.14023 | − | 0.465578i | ||||
\(188\) | 0.981985 | + | 0.735105i | 0.0716186 | + | 0.0536130i | ||||
\(189\) | 0.205374 | + | 0.449707i | 0.0149388 | + | 0.0327113i | ||||
\(190\) | 1.11340 | − | 15.8483i | 0.0807744 | − | 1.14976i | ||||
\(191\) | 4.03747 | + | 13.7503i | 0.292141 | + | 0.994940i | 0.966528 | + | 0.256562i | \(0.0825898\pi\) |
−0.674387 | + | 0.738378i | \(0.735592\pi\) | |||||||
\(192\) | 0.212565 | + | 0.977147i | 0.0153406 | + | 0.0705195i | ||||
\(193\) | −0.915025 | − | 2.45328i | −0.0658650 | − | 0.176591i | 0.899848 | − | 0.436204i | \(-0.143678\pi\) |
−0.965713 | + | 0.259614i | \(0.916405\pi\) | |||||||
\(194\) | 17.6966 | + | 5.19618i | 1.27054 | + | 0.373064i | ||||
\(195\) | 0.0143845 | + | 11.4018i | 0.00103009 | + | 0.816499i | ||||
\(196\) | 4.42397 | + | 5.10553i | 0.315998 | + | 0.364681i | ||||
\(197\) | −7.01961 | − | 12.8555i | −0.500126 | − | 0.915913i | −0.998793 | − | 0.0491191i | \(-0.984359\pi\) |
0.498667 | − | 0.866794i | \(-0.333823\pi\) | |||||||
\(198\) | 3.99465 | − | 1.48993i | 0.283888 | − | 0.105885i | ||||
\(199\) | 19.5276 | + | 12.5496i | 1.38428 | + | 0.889620i | 0.999443 | − | 0.0333660i | \(-0.0106227\pi\) |
0.384833 | + | 0.922986i | \(0.374259\pi\) | |||||||
\(200\) | 4.68914 | + | 1.73549i | 0.331572 | + | 0.122718i | ||||
\(201\) | 1.42640 | + | 0.205086i | 0.100611 | + | 0.0144656i | ||||
\(202\) | −3.26696 | + | 8.75907i | −0.229863 | + | 0.616286i | ||||
\(203\) | 1.37991 | − | 1.84334i | 0.0968505 | − | 0.129377i | ||||
\(204\) | −5.90997 | + | 3.79810i | −0.413780 | + | 0.265920i | ||||
\(205\) | 3.03052 | + | 20.8906i | 0.211660 | + | 1.45906i | ||||
\(206\) | − | 10.2765i | − | 0.715997i | ||||||
\(207\) | −0.0382184 | + | 4.79568i | −0.00265636 | + | 0.333323i | ||||
\(208\) | −3.60556 | + | 3.60556i | −0.250001 | + | 0.250001i | ||||
\(209\) | −22.8933 | − | 19.8371i | −1.58356 | − | 1.37216i | ||||
\(210\) | 0.663602 | + | 0.884141i | 0.0457929 | + | 0.0610115i | ||||
\(211\) | −2.49144 | − | 17.3283i | −0.171518 | − | 1.19293i | −0.875680 | − | 0.482892i | \(-0.839586\pi\) |
0.704163 | − | 0.710039i | \(-0.251323\pi\) | |||||||
\(212\) | −8.87334 | − | 3.30959i | −0.609424 | − | 0.227303i | ||||
\(213\) | −0.783166 | − | 1.04619i | −0.0536617 | − | 0.0716836i | ||||
\(214\) | 0.660406 | − | 0.193913i | 0.0451444 | − | 0.0132556i | ||||
\(215\) | −15.0154 | − | 8.17446i | −1.02404 | − | 0.557494i | ||||
\(216\) | 0.415415 | − | 0.909632i | 0.0282654 | − | 0.0618926i | ||||
\(217\) | −0.0503923 | + | 0.0275163i | −0.00342085 | + | 0.00186793i | ||||
\(218\) | −0.996107 | + | 13.9274i | −0.0674649 | + | 0.943282i | ||||
\(219\) | 4.61899 | − | 4.00238i | 0.312123 | − | 0.270456i | ||||
\(220\) | 8.01349 | − | 5.16426i | 0.540270 | − | 0.348174i | ||||
\(221\) | −32.5846 | − | 14.8809i | −2.19188 | − | 1.00100i | ||||
\(222\) | 4.09466 | − | 0.890738i | 0.274815 | − | 0.0597824i | ||||
\(223\) | −7.45356 | + | 13.6502i | −0.499127 | + | 0.914083i | 0.499725 | + | 0.866184i | \(0.333434\pi\) |
−0.998852 | + | 0.0478990i | \(0.984747\pi\) | |||||||
\(224\) | −0.0703580 | + | 0.489351i | −0.00470099 | + | 0.0326961i | ||||
\(225\) | −2.71381 | − | 4.19943i | −0.180921 | − | 0.279962i | ||||
\(226\) | −5.79126 | + | 0.832657i | −0.385229 | + | 0.0553875i | ||||
\(227\) | 5.17078 | − | 23.7697i | 0.343197 | − | 1.57765i | −0.405092 | − | 0.914276i | \(-0.632761\pi\) |
0.748289 | − | 0.663373i | \(-0.230876\pi\) | |||||||
\(228\) | −7.08695 | + | 0.506868i | −0.469344 | + | 0.0335682i | ||||
\(229\) | −22.3228 | −1.47513 | −0.737565 | − | 0.675276i | \(-0.764024\pi\) | ||||
−0.737565 | + | 0.675276i | \(0.764024\pi\) | |||||||
\(230\) | 2.20917 | + | 10.4938i | 0.145668 | + | 0.691940i | ||||
\(231\) | 2.10778 | 0.138682 | ||||||||
\(232\) | −4.64569 | + | 0.332266i | −0.305005 | + | 0.0218144i | ||||
\(233\) | −0.114595 | + | 0.526783i | −0.00750734 | + | 0.0345107i | −0.980748 | − | 0.195277i | \(-0.937439\pi\) |
0.973241 | + | 0.229787i | \(0.0738031\pi\) | |||||||
\(234\) | 5.04714 | − | 0.725669i | 0.329942 | − | 0.0474385i | ||||
\(235\) | −1.31756 | − | 2.40570i | −0.0859479 | − | 0.156931i | ||||
\(236\) | −0.878222 | + | 6.10817i | −0.0571674 | + | 0.397608i | ||||
\(237\) | −3.15638 | + | 5.78047i | −0.205029 | + | 0.375482i | ||||
\(238\) | −3.39376 | + | 0.738268i | −0.219985 | + | 0.0478548i | ||||
\(239\) | −11.2960 | − | 5.15870i | −0.730676 | − | 0.333688i | 0.0150995 | − | 0.999886i | \(-0.495193\pi\) |
−0.745775 | + | 0.666198i | \(0.767921\pi\) | |||||||
\(240\) | 0.472554 | − | 2.18556i | 0.0305032 | − | 0.141078i | ||||
\(241\) | 11.0459 | − | 9.57136i | 0.711531 | − | 0.616545i | −0.221998 | − | 0.975047i | \(-0.571258\pi\) |
0.933529 | + | 0.358502i | \(0.116712\pi\) | |||||||
\(242\) | 0.512010 | − | 7.15884i | 0.0329133 | − | 0.460188i | ||||
\(243\) | −0.877679 | + | 0.479249i | −0.0563031 | + | 0.0307438i | ||||
\(244\) | −1.93022 | + | 4.22660i | −0.123570 | + | 0.270581i | ||||
\(245\) | −4.27412 | − | 14.4887i | −0.273063 | − | 0.925647i | ||||
\(246\) | 9.05794 | − | 2.65965i | 0.577513 | − | 0.169573i | ||||
\(247\) | −21.7112 | − | 29.0027i | −1.38145 | − | 1.84540i | ||||
\(248\) | 0.108813 | + | 0.0405852i | 0.00690964 | + | 0.00257716i | ||||
\(249\) | 2.29721 | + | 15.9774i | 0.145580 | + | 1.01253i | ||||
\(250\) | −7.93556 | − | 7.87572i | −0.501889 | − | 0.498104i | ||||
\(251\) | 11.0395 | + | 9.56582i | 0.696810 | + | 0.603789i | 0.929526 | − | 0.368755i | \(-0.120216\pi\) |
−0.232717 | + | 0.972545i | \(0.574761\pi\) | |||||||
\(252\) | 0.349582 | − | 0.349582i | 0.0220216 | − | 0.0220216i | ||||
\(253\) | 18.5308 | + | 8.64188i | 1.16502 | + | 0.543310i | ||||
\(254\) | − | 1.00780i | − | 0.0632347i | ||||||
\(255\) | 15.5461 | − | 2.25521i | 0.973533 | − | 0.141227i | ||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −7.22501 | + | 9.65148i | −0.450684 | + | 0.602043i | −0.967132 | − | 0.254276i | \(-0.918163\pi\) |
0.516448 | + | 0.856319i | \(0.327254\pi\) | |||||||
\(258\) | −2.67190 | + | 7.16365i | −0.166345 | + | 0.445989i | ||||
\(259\) | 2.05059 | + | 0.294830i | 0.127417 | + | 0.0183198i | ||||
\(260\) | 10.6779 | − | 3.99799i | 0.662214 | − | 0.247945i | ||||
\(261\) | 3.91819 | + | 2.51807i | 0.242530 | + | 0.155864i | ||||
\(262\) | −8.00251 | + | 2.98478i | −0.494397 | + | 0.184400i | ||||
\(263\) | 0.977446 | + | 1.79006i | 0.0602719 | + | 0.110380i | 0.906078 | − | 0.423111i | \(-0.139062\pi\) |
−0.845806 | + | 0.533490i | \(0.820880\pi\) | |||||||
\(264\) | −2.79198 | − | 3.22211i | −0.171834 | − | 0.198307i | ||||
\(265\) | 14.9930 | + | 14.9552i | 0.921012 | + | 0.918691i | ||||
\(266\) | −3.37033 | − | 0.989618i | −0.206648 | − | 0.0606774i | ||||
\(267\) | 3.26072 | + | 8.74232i | 0.199553 | + | 0.535021i | ||||
\(268\) | −0.306321 | − | 1.40814i | −0.0187116 | − | 0.0860156i | ||||
\(269\) | −0.167546 | − | 0.570609i | −0.0102154 | − | 0.0347906i | 0.954228 | − | 0.299082i | \(-0.0966803\pi\) |
−0.964443 | + | 0.264291i | \(0.914862\pi\) | |||||||
\(270\) | −1.68806 | + | 1.46644i | −0.102732 | + | 0.0892449i | ||||
\(271\) | 6.93045 | + | 15.1756i | 0.420995 | + | 0.921851i | 0.994703 | + | 0.102791i | \(0.0327772\pi\) |
−0.573708 | + | 0.819060i | \(0.694496\pi\) | |||||||
\(272\) | 5.62395 | + | 4.21004i | 0.341002 | + | 0.255271i | ||||
\(273\) | 2.46327 | + | 0.535851i | 0.149084 | + | 0.0324312i | ||||
\(274\) | −13.6951 | + | 15.8050i | −0.827350 | + | 0.954813i | ||||
\(275\) | −21.0926 | + | 3.08700i | −1.27193 | + | 0.186153i | ||||
\(276\) | 4.50667 | − | 1.64011i | 0.271269 | − | 0.0987230i | ||||
\(277\) | 16.0642 | + | 16.0642i | 0.965203 | + | 0.965203i | 0.999415 | − | 0.0342117i | \(-0.0108921\pi\) |
−0.0342117 | + | 0.999415i | \(0.510892\pi\) | |||||||
\(278\) | −0.00782566 | − | 0.109417i | −0.000469352 | − | 0.00656240i | ||||
\(279\) | −0.0627876 | − | 0.0976994i | −0.00375900 | − | 0.00584911i | ||||
\(280\) | 0.596491 | − | 0.930737i | 0.0356471 | − | 0.0556222i | ||||
\(281\) | −29.8138 | + | 13.6155i | −1.77854 | + | 0.812232i | −0.801867 | + | 0.597503i | \(0.796160\pi\) |
−0.976674 | + | 0.214729i | \(0.931113\pi\) | |||||||
\(282\) | −0.981985 | + | 0.735105i | −0.0584764 | + | 0.0437749i | ||||
\(283\) | −5.73483 | − | 3.13146i | −0.340900 | − | 0.186146i | 0.299674 | − | 0.954042i | \(-0.403122\pi\) |
−0.640575 | + | 0.767896i | \(0.721304\pi\) | |||||||
\(284\) | −0.706537 | + | 1.09939i | −0.0419252 | + | 0.0652370i | ||||
\(285\) | 14.8927 | + | 5.53328i | 0.882165 | + | 0.327763i | ||||
\(286\) | 6.12474 | − | 20.8590i | 0.362164 | − | 1.23342i | ||||
\(287\) | 4.65525 | + | 0.332950i | 0.274791 | + | 0.0196534i | ||||
\(288\) | −0.997452 | − | 0.0713392i | −0.0587754 | − | 0.00420370i | ||||
\(289\) | −9.11497 | + | 31.0428i | −0.536175 | + | 1.82604i | ||||
\(290\) | 9.76256 | + | 3.62722i | 0.573277 | + | 0.212998i | ||||
\(291\) | −9.97139 | + | 15.5158i | −0.584533 | + | 0.909552i | ||||
\(292\) | −5.36420 | − | 2.92908i | −0.313916 | − | 0.171411i | ||||
\(293\) | 2.80219 | − | 2.09769i | 0.163706 | − | 0.122549i | −0.514284 | − | 0.857620i | \(-0.671942\pi\) |
0.677990 | + | 0.735071i | \(0.262851\pi\) | |||||||
\(294\) | −6.14510 | + | 2.80637i | −0.358389 | + | 0.163671i | ||||
\(295\) | 7.44550 | − | 11.6176i | 0.433494 | − | 0.676405i | ||||
\(296\) | −2.26551 | − | 3.52521i | −0.131680 | − | 0.204899i | ||||
\(297\) | 0.304152 | + | 4.25260i | 0.0176487 | + | 0.246761i | ||||
\(298\) | 12.3898 | + | 12.3898i | 0.717720 | + | 0.717720i | ||||
\(299\) | 19.4591 | + | 14.8104i | 1.12535 | + | 0.856505i | ||||
\(300\) | −2.98628 | + | 4.01025i | −0.172413 | + | 0.231532i | ||||
\(301\) | −2.47532 | + | 2.85667i | −0.142675 | + | 0.164656i | ||||
\(302\) | −9.64211 | − | 2.09751i | −0.554841 | − | 0.120698i | ||||
\(303\) | −7.48385 | − | 5.60234i | −0.429936 | − | 0.321846i | ||||
\(304\) | 2.95154 | + | 6.46298i | 0.169283 | + | 0.370677i | ||||
\(305\) | 7.84356 | − | 6.81383i | 0.449121 | − | 0.390159i | ||||
\(306\) | −1.97922 | − | 6.74062i | −0.113145 | − | 0.385336i | ||||
\(307\) | −7.13768 | − | 32.8114i | −0.407369 | − | 1.87264i | −0.483180 | − | 0.875521i | \(-0.660518\pi\) |
0.0758111 | − | 0.997122i | \(-0.475845\pi\) | |||||||
\(308\) | −0.736595 | − | 1.97489i | −0.0419714 | − | 0.112530i | ||||
\(309\) | 9.86022 | + | 2.89522i | 0.560928 | + | 0.164703i | ||||
\(310\) | −0.183858 | − | 0.183395i | −0.0104424 | − | 0.0104161i | ||||
\(311\) | 16.8548 | + | 19.4515i | 0.955747 | + | 1.10299i | 0.994604 | + | 0.103746i | \(0.0330829\pi\) |
−0.0388568 | + | 0.999245i | \(0.512372\pi\) | |||||||
\(312\) | −2.44371 | − | 4.47532i | −0.138348 | − | 0.253365i | ||||
\(313\) | −11.7033 | + | 4.36512i | −0.661512 | + | 0.246731i | −0.657721 | − | 0.753262i | \(-0.728479\pi\) |
−0.00379076 | + | 0.999993i | \(0.501207\pi\) | |||||||
\(314\) | 11.2675 | + | 7.24119i | 0.635863 | + | 0.408644i | ||||
\(315\) | −1.03529 | + | 0.387630i | −0.0583317 | + | 0.0218405i | ||||
\(316\) | 6.51906 | + | 0.937299i | 0.366726 | + | 0.0527272i | ||||
\(317\) | 4.30349 | − | 11.5381i | 0.241708 | − | 0.648045i | −0.758284 | − | 0.651924i | \(-0.773962\pi\) |
0.999992 | + | 0.00387908i | \(0.00123475\pi\) | |||||||
\(318\) | 5.67543 | − | 7.58149i | 0.318262 | − | 0.425149i | ||||
\(319\) | 16.7051 | − | 10.7357i | 0.935303 | − | 0.601083i | ||||
\(320\) | −2.21290 | + | 0.321018i | −0.123705 | + | 0.0179454i | ||||
\(321\) | 0.688286i | 0.0384164i | ||||||||
\(322\) | 2.37090 | + | 0.0188945i | 0.132125 | + | 0.00105295i | ||||
\(323\) | −35.2947 | + | 35.2947i | −1.96385 | + | 1.96385i | ||||
\(324\) | 0.755750 | + | 0.654861i | 0.0419861 | + | 0.0363812i | ||||
\(325\) | −25.4347 | − | 1.75464i | −1.41087 | − | 0.0973296i | ||||
\(326\) | 0.234248 | + | 1.62923i | 0.0129738 | + | 0.0902348i | ||||
\(327\) | −13.0826 | − | 4.87956i | −0.723469 | − | 0.269840i | ||||
\(328\) | −5.65738 | − | 7.55738i | −0.312377 | − | 0.417287i | ||||
\(329\) | −0.581871 | + | 0.170853i | −0.0320796 | + | 0.00941942i | ||||
\(330\) | 2.69741 | + | 9.14383i | 0.148487 | + | 0.503351i | ||||
\(331\) | −3.34080 | + | 7.31533i | −0.183627 | + | 0.402087i | −0.978950 | − | 0.204099i | \(-0.934574\pi\) |
0.795324 | + | 0.606185i | \(0.207301\pi\) | |||||||
\(332\) | 14.1673 | − | 7.73592i | 0.777530 | − | 0.424563i | ||||
\(333\) | −0.298941 | + | 4.17975i | −0.0163819 | + | 0.229049i | ||||
\(334\) | 9.95387 | − | 8.62508i | 0.544651 | − | 0.471943i | ||||
\(335\) | −0.680982 | + | 3.14955i | −0.0372060 | + | 0.172078i | ||||
\(336\) | −0.449707 | − | 0.205374i | −0.0245335 | − | 0.0112041i | ||||
\(337\) | −13.0991 | + | 2.84953i | −0.713552 | + | 0.155224i | −0.554666 | − | 0.832073i | \(-0.687154\pi\) |
−0.158886 | + | 0.987297i | \(0.550790\pi\) | |||||||
\(338\) | 6.23033 | − | 11.4100i | 0.338885 | − | 0.620622i | ||||
\(339\) | 0.832657 | − | 5.79126i | 0.0452237 | − | 0.314538i | ||||
\(340\) | −7.54581 | − | 13.7778i | −0.409229 | − | 0.747205i | ||||
\(341\) | −0.490100 | + | 0.0704657i | −0.0265404 | + | 0.00381593i | ||||
\(342\) | 1.51029 | − | 6.94268i | 0.0816669 | − | 0.375417i | ||||
\(343\) | −6.78320 | + | 0.485144i | −0.366258 | + | 0.0261953i | ||||
\(344\) | 7.64571 | 0.412229 | ||||||||
\(345\) | −10.6911 | − | 0.836757i | −0.575590 | − | 0.0450495i | ||||
\(346\) | −2.92782 | −0.157401 | ||||||||
\(347\) | 35.3623 | − | 2.52916i | 1.89835 | − | 0.135773i | 0.927248 | − | 0.374447i | \(-0.122168\pi\) |
0.971100 | + | 0.238675i | \(0.0767130\pi\) | |||||||
\(348\) | 0.990035 | − | 4.55112i | 0.0530715 | − | 0.243966i | ||||
\(349\) | 7.21943 | − | 1.03800i | 0.386447 | − | 0.0555627i | 0.0536466 | − | 0.998560i | \(-0.482916\pi\) |
0.332800 | + | 0.942997i | \(0.392006\pi\) | |||||||
\(350\) | −2.07613 | + | 1.34166i | −0.110974 | + | 0.0717148i | ||||
\(351\) | −0.725669 | + | 5.04714i | −0.0387333 | + | 0.269396i | ||||
\(352\) | −2.04326 | + | 3.74195i | −0.108906 | + | 0.199447i | ||||
\(353\) | 8.17240 | − | 1.77780i | 0.434973 | − | 0.0946225i | 0.0102531 | − | 0.999947i | \(-0.496736\pi\) |
0.424720 | + | 0.905325i | \(0.360373\pi\) | |||||||
\(354\) | −5.61332 | − | 2.56352i | −0.298345 | − | 0.136249i | ||||
\(355\) | 2.45632 | − | 1.58296i | 0.130368 | − | 0.0840150i | ||||
\(356\) | 7.05161 | − | 6.11025i | 0.373734 | − | 0.323843i | ||||
\(357\) | 0.247771 | − | 3.46429i | 0.0131134 | − | 0.183349i | ||||
\(358\) | 10.1619 | − | 5.54883i | 0.537074 | − | 0.293265i | ||||
\(359\) | 2.58281 | − | 5.65557i | 0.136316 | − | 0.298490i | −0.829147 | − | 0.559030i | \(-0.811174\pi\) |
0.965463 | + | 0.260541i | \(0.0839008\pi\) | |||||||
\(360\) | 1.96390 | + | 1.06916i | 0.103507 | + | 0.0563495i | ||||
\(361\) | −30.2065 | + | 8.86942i | −1.58981 | + | 0.466812i | ||||
\(362\) | 13.4733 | + | 17.9982i | 0.708139 | + | 0.945962i | ||||
\(363\) | 6.72461 | + | 2.50815i | 0.352950 | + | 0.131644i | ||||
\(364\) | −0.358758 | − | 2.49522i | −0.0188040 | − | 0.130785i | ||||
\(365\) | 8.20377 | + | 10.9302i | 0.429405 | + | 0.572112i | ||||
\(366\) | −3.51159 | − | 3.04281i | −0.183554 | − | 0.159050i | ||||
\(367\) | −11.6888 | + | 11.6888i | −0.610150 | + | 0.610150i | −0.942985 | − | 0.332835i | \(-0.891995\pi\) |
0.332835 | + | 0.942985i | \(0.391995\pi\) | |||||||
\(368\) | −3.11162 | − | 3.64936i | −0.162204 | − | 0.190236i | ||||
\(369\) | 9.44034i | 0.491444i | ||||||||
\(370\) | 1.34520 | + | 9.27300i | 0.0699336 | + | 0.482081i | ||||
\(371\) | 3.93878 | − | 2.53130i | 0.204491 | − | 0.131418i | ||||
\(372\) | −0.0695974 | + | 0.0929713i | −0.00360846 | + | 0.00482034i | ||||
\(373\) | 1.72239 | − | 4.61792i | 0.0891822 | − | 0.239107i | −0.884700 | − | 0.466161i | \(-0.845637\pi\) |
0.973882 | + | 0.227054i | \(0.0729095\pi\) | |||||||
\(374\) | −29.6468 | − | 4.26256i | −1.53300 | − | 0.220412i | ||||
\(375\) | 9.79240 | − | 5.39527i | 0.505677 | − | 0.278610i | ||||
\(376\) | 1.03193 | + | 0.663178i | 0.0532175 | + | 0.0342008i | ||||
\(377\) | 22.2517 | − | 8.29945i | 1.14602 | − | 0.427443i | ||||
\(378\) | 0.236933 | + | 0.433910i | 0.0121865 | + | 0.0223179i | ||||
\(379\) | 0.316306 | + | 0.365037i | 0.0162476 | + | 0.0187507i | 0.763815 | − | 0.645435i | \(-0.223324\pi\) |
−0.747568 | + | 0.664186i | \(0.768778\pi\) | |||||||
\(380\) | −0.0200434 | − | 15.8874i | −0.00102821 | − | 0.815004i | ||||
\(381\) | 0.966973 | + | 0.283929i | 0.0495395 | + | 0.0145461i | ||||
\(382\) | 5.00812 | + | 13.4273i | 0.256238 | + | 0.686999i | ||||
\(383\) | −2.78486 | − | 12.8018i | −0.142300 | − | 0.654142i | −0.991933 | − | 0.126767i | \(-0.959540\pi\) |
0.849633 | − | 0.527375i | \(-0.176824\pi\) | |||||||
\(384\) | 0.281733 | + | 0.959493i | 0.0143771 | + | 0.0489639i | ||||
\(385\) | −0.330301 | + | 4.70156i | −0.0168337 | + | 0.239614i | ||||
\(386\) | −1.08771 | − | 2.38175i | −0.0553629 | − | 0.121228i | ||||
\(387\) | −6.12071 | − | 4.58191i | −0.311133 | − | 0.232911i | ||||
\(388\) | 18.0222 | + | 3.92048i | 0.914936 | + | 0.199032i | ||||
\(389\) | −16.6136 | + | 19.1731i | −0.842341 | + | 0.972113i | −0.999881 | − | 0.0153993i | \(-0.995098\pi\) |
0.157540 | + | 0.987513i | \(0.449644\pi\) | |||||||
\(390\) | 0.827742 | + | 11.3717i | 0.0419143 | + | 0.575829i | ||||
\(391\) | 16.3818 | − | 29.4408i | 0.828464 | − | 1.48889i | ||||
\(392\) | 4.77692 | + | 4.77692i | 0.241271 | + | 0.241271i | ||||
\(393\) | −0.609310 | − | 8.51926i | −0.0307356 | − | 0.429740i | ||||
\(394\) | −7.91882 | − | 12.3219i | −0.398944 | − | 0.620770i | ||||
\(395\) | −12.3991 | − | 7.94635i | −0.623868 | − | 0.399824i | ||||
\(396\) | 3.87818 | − | 1.77111i | 0.194886 | − | 0.0890015i | ||||
\(397\) | −16.1413 | + | 12.0832i | −0.810108 | + | 0.606439i | −0.921960 | − | 0.387286i | \(-0.873413\pi\) |
0.111852 | + | 0.993725i | \(0.464322\pi\) | |||||||
\(398\) | 20.3731 | + | 11.1246i | 1.02121 | + | 0.557625i | ||||
\(399\) | 1.89906 | − | 2.95500i | 0.0950721 | − | 0.147935i | ||||
\(400\) | 4.80100 | + | 1.39655i | 0.240050 | + | 0.0698277i | ||||
\(401\) | −9.34882 | + | 31.8392i | −0.466858 | + | 1.58997i | 0.303808 | + | 0.952733i | \(0.401742\pi\) |
−0.770666 | + | 0.637239i | \(0.780076\pi\) | |||||||
\(402\) | 1.43740 | + | 0.102805i | 0.0716909 | + | 0.00512743i | ||||
\(403\) | −0.590671 | − | 0.0422456i | −0.0294234 | − | 0.00210440i | ||||
\(404\) | −2.63377 | + | 8.96981i | −0.131035 | + | 0.446265i | ||||
\(405\) | −0.931462 | − | 2.03283i | −0.0462847 | − | 0.101012i | ||||
\(406\) | 1.24489 | − | 1.93709i | 0.0617828 | − | 0.0961359i | ||||
\(407\) | 15.6804 | + | 8.56213i | 0.777247 | + | 0.424409i | ||||
\(408\) | −5.62395 | + | 4.21004i | −0.278427 | + | 0.208428i | ||||
\(409\) | 16.5934 | − | 7.57794i | 0.820490 | − | 0.374705i | 0.0394774 | − | 0.999220i | \(-0.487431\pi\) |
0.781013 | + | 0.624515i | \(0.214703\pi\) | |||||||
\(410\) | 4.51311 | + | 20.6211i | 0.222887 | + | 1.01841i | ||||
\(411\) | −11.3064 | − | 17.5931i | −0.557704 | − | 0.867804i | ||||
\(412\) | −0.733116 | − | 10.2503i | −0.0361181 | − | 0.504996i | ||||
\(413\) | −2.15726 | − | 2.15726i | −0.106152 | − | 0.106152i | ||||
\(414\) | 0.303999 | + | 4.78619i | 0.0149407 | + | 0.235228i | ||||
\(415\) | −35.9988 | + | 2.62034i | −1.76711 | + | 0.128627i | ||||
\(416\) | −3.33916 | + | 3.85360i | −0.163716 | + | 0.188938i | ||||
\(417\) | 0.107190 | + | 0.0233177i | 0.00524910 | + | 0.00114187i | ||||
\(418\) | −24.2501 | − | 18.1534i | −1.18611 | − | 0.887911i | ||||
\(419\) | 0.547002 | + | 1.19777i | 0.0267228 | + | 0.0585148i | 0.922523 | − | 0.385943i | \(-0.126124\pi\) |
−0.895800 | + | 0.444457i | \(0.853396\pi\) | |||||||
\(420\) | 0.724985 | + | 0.834548i | 0.0353756 | + | 0.0407218i | ||||
\(421\) | −5.34094 | − | 18.1896i | −0.260301 | − | 0.886505i | −0.981123 | − | 0.193385i | \(-0.938053\pi\) |
0.720822 | − | 0.693121i | \(-0.243765\pi\) | |||||||
\(422\) | −3.72128 | − | 17.1064i | −0.181149 | − | 0.832728i | ||||
\(423\) | −0.428671 | − | 1.14931i | −0.0208427 | − | 0.0558814i | ||||
\(424\) | −9.08684 | − | 2.66814i | −0.441296 | − | 0.129576i | ||||
\(425\) | 2.59425 | + | 35.0300i | 0.125840 | + | 1.69921i | ||||
\(426\) | −0.855805 | − | 0.987652i | −0.0414639 | − | 0.0478519i | ||||
\(427\) | −1.10091 | − | 2.01616i | −0.0532766 | − | 0.0975688i | ||||
\(428\) | 0.644890 | − | 0.240531i | 0.0311719 | − | 0.0116265i | ||||
\(429\) | 18.2885 | + | 11.7533i | 0.882977 | + | 0.567455i | ||||
\(430\) | −15.5603 | − | 7.08245i | −0.750385 | − | 0.341546i | ||||
\(431\) | 17.9944 | + | 2.58721i | 0.866762 | + | 0.124621i | 0.561330 | − | 0.827592i | \(-0.310290\pi\) |
0.305432 | + | 0.952214i | \(0.401199\pi\) | |||||||
\(432\) | 0.349464 | − | 0.936950i | 0.0168136 | − | 0.0450790i | ||||
\(433\) | −1.04727 | + | 1.39899i | −0.0503285 | + | 0.0672310i | −0.824999 | − | 0.565134i | \(-0.808825\pi\) |
0.774671 | + | 0.632365i | \(0.217916\pi\) | |||||||
\(434\) | −0.0483009 | + | 0.0310411i | −0.00231852 | + | 0.00149002i | ||||
\(435\) | −6.23072 | + | 8.34520i | −0.298740 | + | 0.400122i | ||||
\(436\) | 13.9630i | 0.668705i | ||||||||
\(437\) | 28.8113 | − | 18.1931i | 1.37823 | − | 0.870294i | ||||
\(438\) | 4.32170 | − | 4.32170i | 0.206499 | − | 0.206499i | ||||
\(439\) | −10.2550 | − | 8.88598i | −0.489443 | − | 0.424105i | 0.374856 | − | 0.927083i | \(-0.377692\pi\) |
−0.864299 | + | 0.502978i | \(0.832238\pi\) | |||||||
\(440\) | 7.62466 | − | 5.72278i | 0.363492 | − | 0.272823i | ||||
\(441\) | −0.961420 | − | 6.68682i | −0.0457819 | − | 0.318420i | ||||
\(442\) | −33.5631 | − | 12.5184i | −1.59644 | − | 0.595440i | ||||
\(443\) | 20.1027 | + | 26.8541i | 0.955109 | + | 1.27588i | 0.961188 | + | 0.275895i | \(0.0889742\pi\) |
−0.00607853 | + | 0.999982i | \(0.501935\pi\) | |||||||
\(444\) | 4.02068 | − | 1.18058i | 0.190813 | − | 0.0560278i | ||||
\(445\) | −20.0113 | + | 5.90329i | −0.948628 | + | 0.279843i | ||||
\(446\) | −6.46077 | + | 14.1471i | −0.305927 | + | 0.669886i | ||||
\(447\) | −15.3785 | + | 8.39730i | −0.727378 | + | 0.397179i | ||||
\(448\) | −0.0352689 | + | 0.493123i | −0.00166630 | + | 0.0232979i | ||||
\(449\) | −9.61216 | + | 8.32899i | −0.453626 | + | 0.393069i | −0.851486 | − | 0.524377i | \(-0.824298\pi\) |
0.397860 | + | 0.917446i | \(0.369753\pi\) | |||||||
\(450\) | −3.00648 | − | 3.99513i | −0.141727 | − | 0.188332i | ||||
\(451\) | 36.6114 | + | 16.7199i | 1.72396 | + | 0.787307i | ||||
\(452\) | −5.71710 | + | 1.24368i | −0.268910 | + | 0.0584977i | ||||
\(453\) | 4.72905 | − | 8.66060i | 0.222190 | − | 0.406911i | ||||
\(454\) | 3.46189 | − | 24.0780i | 0.162475 | − | 1.13004i | ||||
\(455\) | −1.58126 | + | 5.41052i | −0.0741307 | + | 0.253649i | ||||
\(456\) | −7.03273 | + | 1.01115i | −0.329338 | + | 0.0473516i | ||||
\(457\) | 6.11563 | − | 28.1131i | 0.286077 | − | 1.31508i | −0.579775 | − | 0.814777i | \(-0.696860\pi\) |
0.865852 | − | 0.500299i | \(-0.166777\pi\) | |||||||
\(458\) | −22.2659 | + | 1.59249i | −1.04042 | + | 0.0744121i | ||||
\(459\) | 7.02519 | 0.327908 | ||||||||
\(460\) | 2.95216 | + | 10.3094i | 0.137645 | + | 0.480681i | ||||
\(461\) | 9.07788 | 0.422799 | 0.211399 | − | 0.977400i | \(-0.432198\pi\) | ||||
0.211399 | + | 0.977400i | \(0.432198\pi\) | |||||||
\(462\) | 2.10241 | − | 0.150368i | 0.0978132 | − | 0.00699574i | ||||
\(463\) | 7.58866 | − | 34.8845i | 0.352675 | − | 1.62122i | −0.369306 | − | 0.929308i | \(-0.620405\pi\) |
0.721981 | − | 0.691913i | \(-0.243232\pi\) | |||||||
\(464\) | −4.61015 | + | 0.662840i | −0.214021 | + | 0.0307716i | ||||
\(465\) | 0.227765 | − | 0.124742i | 0.0105623 | − | 0.00578478i | ||||
\(466\) | −0.0767223 | + | 0.533616i | −0.00355409 | + | 0.0247193i | ||||
\(467\) | −16.5954 | + | 30.3922i | −0.767942 | + | 1.40638i | 0.141237 | + | 0.989976i | \(0.454892\pi\) |
−0.909179 | + | 0.416406i | \(0.863290\pi\) | |||||||
\(468\) | 4.98251 | − | 1.08388i | 0.230317 | − | 0.0501023i | ||||
\(469\) | 0.648058 | + | 0.295958i | 0.0299246 | + | 0.0136661i | ||||
\(470\) | −1.48582 | − | 2.30558i | −0.0685358 | − | 0.106349i | ||||
\(471\) | −10.1223 | + | 8.77102i | −0.466411 | + | 0.404147i | ||||
\(472\) | −0.440233 | + | 6.15525i | −0.0202633 | + | 0.283319i | ||||
\(473\) | −28.6099 | + | 15.6222i | −1.31548 | + | 0.718309i | ||||
\(474\) | −2.73596 | + | 5.99092i | −0.125667 | + | 0.275172i | ||||
\(475\) | −14.6761 | + | 32.3520i | −0.673387 | + | 1.48441i | ||||
\(476\) | −3.33245 | + | 0.978495i | −0.152743 | + | 0.0448493i | ||||
\(477\) | 5.67543 | + | 7.58149i | 0.259860 | + | 0.347133i | ||||
\(478\) | −11.6352 | − | 4.33971i | −0.532182 | − | 0.198494i | ||||
\(479\) | 3.52086 | + | 24.4881i | 0.160872 | + | 1.11889i | 0.896994 | + | 0.442042i | \(0.145746\pi\) |
−0.736122 | + | 0.676849i | \(0.763345\pi\) | |||||||
\(480\) | 0.315433 | − | 2.21371i | 0.0143975 | − | 0.101041i | ||||
\(481\) | 16.1482 | + | 13.9925i | 0.736294 | + | 0.638003i | ||||
\(482\) | 10.3350 | − | 10.3350i | 0.470745 | − | 0.470745i | ||||
\(483\) | −0.686090 | + | 2.26954i | −0.0312182 | + | 0.103268i | ||||
\(484\) | − | 7.17713i | − | 0.326233i | ||||||
\(485\) | −33.0465 | − | 24.6733i | −1.50056 | − | 1.12036i | ||||
\(486\) | −0.841254 | + | 0.540641i | −0.0381600 | + | 0.0245240i | ||||
\(487\) | 3.07236 | − | 4.10419i | 0.139222 | − | 0.185979i | −0.725511 | − | 0.688210i | \(-0.758397\pi\) |
0.864733 | + | 0.502232i | \(0.167488\pi\) | |||||||
\(488\) | −1.62378 | + | 4.35353i | −0.0735053 | + | 0.197075i | ||||
\(489\) | −1.62923 | − | 0.234248i | −0.0736764 | − | 0.0105931i | ||||
\(490\) | −5.29684 | − | 14.1468i | −0.239287 | − | 0.639089i | ||||
\(491\) | 6.21789 | + | 3.99600i | 0.280609 | + | 0.180337i | 0.673373 | − | 0.739303i | \(-0.264845\pi\) |
−0.392764 | + | 0.919639i | \(0.628481\pi\) | |||||||
\(492\) | 8.84512 | − | 3.29906i | 0.398769 | − | 0.148733i | ||||
\(493\) | −15.6811 | − | 28.7179i | −0.706243 | − | 1.29339i | ||||
\(494\) | −23.7249 | − | 27.3800i | −1.06743 | − | 1.23188i | ||||
\(495\) | −9.53339 | + | 0.0120273i | −0.428494 | + | 0.000540586i | ||||
\(496\) | 0.111431 | + | 0.0327192i | 0.00500341 | + | 0.00146913i | ||||
\(497\) | −0.225784 | − | 0.605349i | −0.0101278 | − | 0.0271536i | ||||
\(498\) | 3.43117 | + | 15.7729i | 0.153755 | + | 0.706799i | ||||
\(499\) | −3.85411 | − | 13.1259i | −0.172534 | − | 0.587596i | −0.999672 | − | 0.0255979i | \(-0.991851\pi\) |
0.827139 | − | 0.561998i | \(-0.189967\pi\) | |||||||
\(500\) | −8.47719 | − | 7.28953i | −0.379111 | − | 0.325998i | ||||
\(501\) | 5.47137 | + | 11.9806i | 0.244443 | + | 0.535255i | ||||
\(502\) | 11.6938 | + | 8.75389i | 0.521921 | + | 0.390705i | ||||
\(503\) | −20.1236 | − | 4.37762i | −0.897267 | − | 0.195188i | −0.259797 | − | 0.965663i | \(-0.583656\pi\) |
−0.637470 | + | 0.770475i | \(0.720019\pi\) | |||||||
\(504\) | 0.323752 | − | 0.373630i | 0.0144211 | − | 0.0166428i | ||||
\(505\) | 13.6692 | − | 15.8153i | 0.608270 | − | 0.703774i | ||||
\(506\) | 19.1001 | + | 7.29789i | 0.849104 | + | 0.324431i | ||||
\(507\) | 9.19252 | + | 9.19252i | 0.408254 | + | 0.408254i | ||||
\(508\) | −0.0718953 | − | 1.00523i | −0.00318984 | − | 0.0445998i | ||||
\(509\) | 1.25267 | + | 1.94919i | 0.0555235 | + | 0.0863962i | 0.867905 | − | 0.496729i | \(-0.165466\pi\) |
−0.812382 | + | 0.583126i | \(0.801830\pi\) | |||||||
\(510\) | 15.3456 | − | 3.35851i | 0.679514 | − | 0.148717i | ||||
\(511\) | 2.74852 | − | 1.25521i | 0.121587 | − | 0.0555271i | ||||
\(512\) | 0.800541 | − | 0.599278i | 0.0353793 | − | 0.0264846i | ||||
\(513\) | 6.23595 | + | 3.40509i | 0.275324 | + | 0.150338i | ||||
\(514\) | −6.51807 | + | 10.1423i | −0.287500 | + | 0.447359i | ||||
\(515\) | −8.00315 | + | 21.5402i | −0.352661 | + | 0.949175i | ||||
\(516\) | −2.15405 | + | 7.33601i | −0.0948266 | + | 0.322950i | ||||
\(517\) | −5.21646 | − | 0.373089i | −0.229420 | − | 0.0164084i | ||||
\(518\) | 2.06640 | + | 0.147792i | 0.0907922 | + | 0.00649359i | ||||
\(519\) | 0.824863 | − | 2.80923i | 0.0362075 | − | 0.123311i | ||||
\(520\) | 10.3655 | − | 4.74956i | 0.454555 | − | 0.208282i | ||||
\(521\) | 15.9114 | − | 24.7587i | 0.697092 | − | 1.08470i | −0.294545 | − | 0.955638i | \(-0.595168\pi\) |
0.991637 | − | 0.129059i | \(-0.0411956\pi\) | |||||||
\(522\) | 4.08784 | + | 2.23213i | 0.178920 | + | 0.0976977i | ||||
\(523\) | −0.628295 | + | 0.470336i | −0.0274734 | + | 0.0205664i | −0.612926 | − | 0.790140i | \(-0.710008\pi\) |
0.585453 | + | 0.810707i | \(0.300917\pi\) | |||||||
\(524\) | −7.76919 | + | 3.54807i | −0.339399 | + | 0.154998i | ||||
\(525\) | −0.702401 | − | 2.37002i | −0.0306553 | − | 0.103436i | ||||
\(526\) | 1.10266 | + | 1.71577i | 0.0480781 | + | 0.0748110i | ||||
\(527\) | 0.0582038 | + | 0.813795i | 0.00253540 | + | 0.0354495i | ||||
\(528\) | −3.01472 | − | 3.01472i | −0.131199 | − | 0.131199i | ||||
\(529\) | −15.3369 | + | 17.1400i | −0.666822 | + | 0.745217i | ||||
\(530\) | 16.0217 | + | 13.8475i | 0.695937 | + | 0.601497i | ||||
\(531\) | 4.04113 | − | 4.66371i | 0.175370 | − | 0.202388i | ||||
\(532\) | −3.43234 | − | 0.746660i | −0.148811 | − | 0.0323718i | ||||
\(533\) | 38.5354 | + | 28.8472i | 1.66915 | + | 1.24951i | ||||
\(534\) | 3.87608 | + | 8.48743i | 0.167734 | + | 0.367287i | ||||
\(535\) | −1.53527 | − | 0.107858i | −0.0663755 | − | 0.00466311i | ||||
\(536\) | −0.405996 | − | 1.38270i | −0.0175364 | − | 0.0597234i | ||||
\(537\) | 2.46112 | + | 11.3136i | 0.106205 | + | 0.488217i | ||||
\(538\) | −0.207826 | − | 0.557202i | −0.00896000 | − | 0.0240227i | ||||
\(539\) | −27.6355 | − | 8.11452i | −1.19035 | − | 0.349517i | ||||
\(540\) | −1.57914 | + | 1.58313i | −0.0679555 | + | 0.0681272i | ||||
\(541\) | −10.9554 | − | 12.6433i | −0.471011 | − | 0.543576i | 0.469681 | − | 0.882836i | \(-0.344369\pi\) |
−0.940693 | + | 0.339260i | \(0.889823\pi\) | |||||||
\(542\) | 7.99541 | + | 14.6425i | 0.343432 | + | 0.628949i | ||||
\(543\) | −21.0650 | + | 7.85683i | −0.903984 | + | 0.337169i | ||||
\(544\) | 5.90997 | + | 3.79810i | 0.253388 | + | 0.162842i | ||||
\(545\) | 12.9343 | − | 28.4170i | 0.554045 | − | 1.21725i | ||||
\(546\) | 2.49522 | + | 0.358758i | 0.106786 | + | 0.0153534i | ||||
\(547\) | 6.54432 | − | 17.5460i | 0.279815 | − | 0.750212i | −0.718679 | − | 0.695342i | \(-0.755253\pi\) |
0.998494 | − | 0.0548701i | \(-0.0174745\pi\) | |||||||
\(548\) | −12.5327 | + | 16.7417i | −0.535369 | + | 0.715170i | ||||
\(549\) | 3.90888 | − | 2.51209i | 0.166827 | − | 0.107213i | ||||
\(550\) | −20.8187 | + | 4.58387i | −0.887710 | + | 0.195457i | ||||
\(551\) | − | 33.0922i | − | 1.40977i | ||||||
\(552\) | 4.37818 | − | 1.95743i | 0.186348 | − | 0.0833139i | ||||
\(553\) | −2.30238 | + | 2.30238i | −0.0979070 | + | 0.0979070i | ||||
\(554\) | 17.1693 | + | 14.8772i | 0.729452 | + | 0.632073i | ||||
\(555\) | −9.27637 | − | 1.32180i | −0.393760 | − | 0.0561072i | ||||
\(556\) | −0.0156114 | − | 0.108580i | −0.000662073 | − | 0.00460482i | ||||
\(557\) | 6.68006 | + | 2.49153i | 0.283043 | + | 0.105570i | 0.486976 | − | 0.873415i | \(-0.338100\pi\) |
−0.203933 | + | 0.978985i | \(0.565373\pi\) | |||||||
\(558\) | −0.0695974 | − | 0.0929713i | −0.00294629 | − | 0.00393579i | ||||
\(559\) | −37.4066 | + | 10.9836i | −1.58213 | + | 0.464555i | ||||
\(560\) | 0.528573 | − | 0.970919i | 0.0223363 | − | 0.0410288i | ||||
\(561\) | 12.4424 | − | 27.2450i | 0.525317 | − | 1.15028i | ||||
\(562\) | −28.7665 | + | 15.7077i | −1.21344 | + | 0.662589i | ||||
\(563\) | 1.23449 | − | 17.2605i | 0.0520277 | − | 0.727442i | −0.902758 | − | 0.430148i | \(-0.858461\pi\) |
0.954786 | − | 0.297294i | \(-0.0960842\pi\) | |||||||
\(564\) | −0.927042 | + | 0.803286i | −0.0390355 | + | 0.0338244i | ||||
\(565\) | 12.7873 | + | 2.76482i | 0.537967 | + | 0.116317i | ||||
\(566\) | −5.94362 | − | 2.71436i | −0.249829 | − | 0.114093i | ||||
\(567\) | −0.483085 | + | 0.105089i | −0.0202877 | + | 0.00441331i | ||||
\(568\) | −0.626307 | + | 1.14700i | −0.0262793 | + | 0.0481269i | ||||
\(569\) | 5.88070 | − | 40.9012i | 0.246532 | − | 1.71467i | −0.371433 | − | 0.928460i | \(-0.621133\pi\) |
0.617965 | − | 0.786206i | \(-0.287957\pi\) | |||||||
\(570\) | 15.2495 | + | 4.45675i | 0.638729 | + | 0.186673i | ||||
\(571\) | −12.8451 | + | 1.84685i | −0.537550 | + | 0.0772881i | −0.405743 | − | 0.913987i | \(-0.632987\pi\) |
−0.131807 | + | 0.991275i | \(0.542078\pi\) | |||||||
\(572\) | 4.62108 | − | 21.2428i | 0.193217 | − | 0.888204i | ||||
\(573\) | −14.2943 | + | 1.02235i | −0.597154 | + | 0.0427093i | ||||
\(574\) | 4.66714 | 0.194803 | ||||||||
\(575\) | 3.54180 | − | 23.7161i | 0.147703 | − | 0.989032i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | 16.6828 | − | 1.19318i | 0.694515 | − | 0.0496727i | 0.280381 | − | 0.959889i | \(-0.409539\pi\) |
0.414134 | + | 0.910216i | \(0.364085\pi\) | |||||||
\(578\) | −6.87719 | + | 31.6139i | −0.286053 | + | 1.31497i | ||||
\(579\) | 2.59172 | − | 0.372632i | 0.107708 | − | 0.0154861i | ||||
\(580\) | 9.99645 | + | 2.92153i | 0.415080 | + | 0.121310i | ||||
\(581\) | −1.13570 | + | 7.89898i | −0.0471168 | + | 0.327705i | ||||
\(582\) | −8.83910 | + | 16.1876i | −0.366393 | + | 0.670998i | ||||
\(583\) | 39.4542 | − | 8.58274i | 1.63403 | − | 0.355461i | ||||
\(584\) | −5.55949 | − | 2.53893i | −0.230053 | − | 0.105062i | ||||
\(585\) | −11.1443 | − | 2.40957i | −0.460759 | − | 0.0996234i | ||||
\(586\) | 2.64540 | − | 2.29226i | 0.109281 | − | 0.0946922i | ||||
\(587\) | −2.22934 | + | 31.1702i | −0.0920147 | + | 1.28653i | 0.716304 | + | 0.697788i | \(0.245832\pi\) |
−0.808319 | + | 0.588745i | \(0.799622\pi\) | |||||||
\(588\) | −5.92924 | + | 3.23761i | −0.244518 | + | 0.133517i | ||||
\(589\) | −0.342779 | + | 0.750582i | −0.0141240 | + | 0.0309272i | ||||
\(590\) | 6.59774 | − | 12.1192i | 0.271625 | − | 0.498939i | ||||
\(591\) | 14.0538 | − | 4.12656i | 0.578096 | − | 0.169744i | ||||
\(592\) | −2.51123 | − | 3.35461i | −0.103211 | − | 0.137873i | ||||
\(593\) | 35.2141 | + | 13.1342i | 1.44607 | + | 0.539356i | 0.945293 | − | 0.326221i | \(-0.105775\pi\) |
0.500776 | + | 0.865577i | \(0.333048\pi\) | |||||||
\(594\) | 0.606754 | + | 4.22007i | 0.0248954 | + | 0.173152i | ||||
\(595\) | 7.68851 | + | 1.09554i | 0.315198 | + | 0.0449128i | ||||
\(596\) | 13.2421 | + | 11.4743i | 0.542417 | + | 0.470007i | ||||
\(597\) | −16.4137 | + | 16.4137i | −0.671769 | + | 0.671769i | ||||
\(598\) | 20.4661 | + | 13.3844i | 0.836922 | + | 0.547330i | ||||
\(599\) | − | 32.8294i | − | 1.34137i | −0.741742 | − | 0.670686i | \(-0.766000\pi\) | ||
0.741742 | − | 0.670686i | \(-0.234000\pi\) | |||||||
\(600\) | −2.69258 | + | 4.21307i | −0.109924 | + | 0.171998i | ||||
\(601\) | 9.48094 | − | 6.09303i | 0.386736 | − | 0.248540i | −0.332797 | − | 0.942998i | \(-0.607992\pi\) |
0.719533 | + | 0.694459i | \(0.244356\pi\) | |||||||
\(602\) | −2.26522 | + | 3.02597i | −0.0923233 | + | 0.123330i | ||||
\(603\) | −0.503602 | + | 1.35021i | −0.0205083 | + | 0.0549848i | ||||
\(604\) | −9.76718 | − | 1.40431i | −0.397421 | − | 0.0571405i | ||||
\(605\) | −6.64839 | + | 14.6067i | −0.270295 | + | 0.593846i | ||||
\(606\) | −7.86445 | − | 5.05418i | −0.319472 | − | 0.205312i | ||||
\(607\) | −15.4177 | + | 5.75052i | −0.625787 | + | 0.233406i | −0.642295 | − | 0.766457i | \(-0.722018\pi\) |
0.0165086 | + | 0.999864i | \(0.494745\pi\) | |||||||
\(608\) | 3.40509 | + | 6.23595i | 0.138095 | + | 0.252901i | ||||
\(609\) | 1.50789 | + | 1.74020i | 0.0611030 | + | 0.0705166i | ||||
\(610\) | 7.33748 | − | 7.35602i | 0.297086 | − | 0.297837i | ||||
\(611\) | −6.00138 | − | 1.76217i | −0.242790 | − | 0.0712896i | ||||
\(612\) | −2.45505 | − | 6.58225i | −0.0992396 | − | 0.266072i | ||||
\(613\) | −1.98105 | − | 9.10674i | −0.0800139 | − | 0.367818i | 0.919677 | − | 0.392675i | \(-0.128450\pi\) |
−0.999691 | + | 0.0248576i | \(0.992087\pi\) | |||||||
\(614\) | −9.46022 | − | 32.2186i | −0.381784 | − | 1.30024i | ||||
\(615\) | −21.0573 | − | 1.47935i | −0.849114 | − | 0.0596532i | ||||
\(616\) | −0.875605 | − | 1.91731i | −0.0352791 | − | 0.0772506i | ||||
\(617\) | 11.5869 | + | 8.67384i | 0.466471 | + | 0.349195i | 0.806515 | − | 0.591214i | \(-0.201351\pi\) |
−0.340044 | + | 0.940409i | \(0.610442\pi\) | |||||||
\(618\) | 10.0416 | + | 2.18443i | 0.403934 | + | 0.0878705i | ||||
\(619\) | −7.20691 | + | 8.31722i | −0.289670 | + | 0.334297i | −0.881869 | − | 0.471495i | \(-0.843715\pi\) |
0.592199 | + | 0.805792i | \(0.298260\pi\) | |||||||
\(620\) | −0.196473 | − | 0.169811i | −0.00789053 | − | 0.00681978i | ||||
\(621\) | −4.67796 | − | 1.05674i | −0.187720 | − | 0.0424055i | ||||
\(622\) | 18.1995 | + | 18.1995i | 0.729733 | + | 0.729733i | ||||
\(623\) | 0.329080 | + | 4.60114i | 0.0131843 | + | 0.184341i | ||||
\(624\) | −2.75675 | − | 4.28958i | −0.110358 | − | 0.171721i | ||||
\(625\) | 10.5000 | + | 22.6881i | 0.420000 | + | 0.907524i | ||||
\(626\) | −11.3621 | + | 5.18890i | −0.454121 | + | 0.207390i | ||||
\(627\) | 24.2501 | − | 18.1534i | 0.968455 | − | 0.724977i | ||||
\(628\) | 11.7554 | + | 6.41893i | 0.469091 | + | 0.256143i | ||||
\(629\) | 15.9157 | − | 24.7652i | 0.634599 | − | 0.987455i | ||||
\(630\) | −1.00499 | + | 0.460499i | −0.0400399 | + | 0.0183467i | ||||
\(631\) | 5.82708 | − | 19.8452i | 0.231972 | − | 0.790025i | −0.758423 | − | 0.651762i | \(-0.774030\pi\) |
0.990396 | − | 0.138263i | \(-0.0441518\pi\) | |||||||
\(632\) | 6.56931 | + | 0.469846i | 0.261313 | + | 0.0186895i | ||||
\(633\) | 17.4619 | + | 1.24890i | 0.694048 | + | 0.0496393i | ||||
\(634\) | 3.46941 | − | 11.8157i | 0.137788 | − | 0.469262i | ||||
\(635\) | −0.784853 | + | 2.11241i | −0.0311460 | + | 0.0838284i | ||||
\(636\) | 5.12012 | − | 7.96705i | 0.203026 | − | 0.315914i | ||||
\(637\) | −30.2334 | − | 16.5087i | −1.19789 | − | 0.654098i | ||||
\(638\) | 15.8966 | − | 11.9001i | 0.629353 | − | 0.471128i | ||||
\(639\) | 1.18875 | − | 0.542885i | 0.0470264 | − | 0.0214762i | ||||
\(640\) | −2.18437 | + | 0.478067i | −0.0863446 | + | 0.0188972i | ||||
\(641\) | −1.80524 | − | 2.80900i | −0.0713026 | − | 0.110949i | 0.803771 | − | 0.594939i | \(-0.202824\pi\) |
−0.875074 | + | 0.483990i | \(0.839187\pi\) | |||||||
\(642\) | 0.0491018 | + | 0.686533i | 0.00193789 | + | 0.0270953i | ||||
\(643\) | −9.93736 | − | 9.93736i | −0.391891 | − | 0.391891i | 0.483470 | − | 0.875361i | \(-0.339376\pi\) |
−0.875361 | + | 0.483470i | \(0.839376\pi\) | |||||||
\(644\) | 2.36621 | − | 0.150292i | 0.0932417 | − | 0.00592233i | ||||
\(645\) | 11.1794 | − | 12.9347i | 0.440189 | − | 0.509302i | ||||
\(646\) | −32.6869 | + | 37.7227i | −1.28605 | + | 1.48418i | ||||
\(647\) | 32.5683 | + | 7.08479i | 1.28039 | + | 0.278532i | 0.800785 | − | 0.598952i | \(-0.204416\pi\) |
0.479606 | + | 0.877484i | \(0.340780\pi\) | |||||||
\(648\) | 0.800541 | + | 0.599278i | 0.0314482 | + | 0.0235419i | ||||
\(649\) | −10.9295 | − | 23.9322i | −0.429019 | − | 0.939420i | ||||
\(650\) | −25.4951 | + | 0.0643292i | −1.00000 | + | 0.00252320i | ||||
\(651\) | −0.0161758 | − | 0.0550897i | −0.000633980 | − | 0.00215914i | ||||
\(652\) | 0.349879 | + | 1.60837i | 0.0137023 | + | 0.0629886i | ||||
\(653\) | −12.5420 | − | 33.6265i | −0.490807 | − | 1.31591i | −0.912467 | − | 0.409151i | \(-0.865825\pi\) |
0.421659 | − | 0.906754i | \(-0.361448\pi\) | |||||||
\(654\) | −13.3974 | − | 3.93382i | −0.523879 | − | 0.153825i | ||||
\(655\) | 19.0983 | − | 0.0240943i | 0.746232 | − | 0.000941444i | ||||
\(656\) | −6.18211 | − | 7.13453i | −0.241371 | − | 0.278557i | ||||
\(657\) | 2.92908 | + | 5.36420i | 0.114274 | + | 0.209277i | ||||
\(658\) | −0.568200 | + | 0.211928i | −0.0221507 | + | 0.00826180i | ||||
\(659\) | 5.29764 | + | 3.40459i | 0.206367 | + | 0.132624i | 0.639742 | − | 0.768590i | \(-0.279041\pi\) |
−0.433375 | + | 0.901214i | \(0.642678\pi\) | |||||||
\(660\) | 3.34285 | + | 8.92810i | 0.130120 | + | 0.347526i | ||||
\(661\) | −16.2026 | − | 2.32959i | −0.630209 | − | 0.0906104i | −0.180194 | − | 0.983631i | \(-0.557672\pi\) |
−0.450016 | + | 0.893021i | \(0.648582\pi\) | |||||||
\(662\) | −2.81042 | + | 7.53502i | −0.109230 | + | 0.292857i | ||||
\(663\) | 21.4672 | − | 28.6768i | 0.833715 | − | 1.11371i | ||||
\(664\) | 13.5793 | − | 8.72689i | 0.526979 | − | 0.338669i | ||||
\(665\) | 6.29374 | + | 4.69906i | 0.244061 | + | 0.182222i | ||||
\(666\) | 4.19042i | 0.162376i | ||||||||
\(667\) | 6.12203 | + | 21.4815i | 0.237046 | + | 0.831768i | ||||
\(668\) | 9.31320 | − | 9.31320i | 0.360339 | − | 0.360339i | ||||
\(669\) | −11.7539 | − | 10.1848i | −0.454430 | − | 0.393766i | ||||
\(670\) | −0.454561 | + | 3.19011i | −0.0175612 | + | 0.123245i | ||||
\(671\) | −2.81928 | − | 19.6085i | −0.108837 | − | 0.756979i | ||||
\(672\) | −0.463212 | − | 0.172769i | −0.0178688 | − | 0.00666472i | ||||
\(673\) | 1.81545 | + | 2.42516i | 0.0699805 | + | 0.0934831i | 0.834166 | − | 0.551514i | \(-0.185950\pi\) |
−0.764185 | + | 0.644997i | \(0.776859\pi\) | |||||||
\(674\) | −12.8624 | + | 3.77675i | −0.495442 | + | 0.145475i | ||||
\(675\) | 4.68032 | − | 1.75914i | 0.180146 | − | 0.0677092i | ||||
\(676\) | 5.40047 | − | 11.8254i | 0.207711 | − | 0.454823i | ||||
\(677\) | 10.4293 | − | 5.69480i | 0.400829 | − | 0.218869i | −0.266173 | − | 0.963925i | \(-0.585759\pi\) |
0.667002 | + | 0.745056i | \(0.267577\pi\) | |||||||
\(678\) | 0.417392 | − | 5.83590i | 0.0160298 | − | 0.224127i | ||||
\(679\) | −6.89110 | + | 5.97117i | −0.264456 | + | 0.229152i | ||||
\(680\) | −8.50948 | − | 13.2044i | −0.326324 | − | 0.506364i | ||||
\(681\) | 22.1273 | + | 10.1052i | 0.847922 | + | 0.387233i | ||||
\(682\) | −0.483824 | + | 0.105250i | −0.0185266 | + | 0.00403021i | ||||
\(683\) | 5.12457 | − | 9.38495i | 0.196086 | − | 0.359105i | −0.761073 | − | 0.648666i | \(-0.775327\pi\) |
0.957160 | + | 0.289561i | \(0.0935092\pi\) | |||||||
\(684\) | 1.01115 | − | 7.03273i | 0.0386624 | − | 0.268903i | ||||
\(685\) | 41.0144 | − | 22.4628i | 1.56708 | − | 0.858259i | ||||
\(686\) | −6.73131 | + | 0.967816i | −0.257003 | + | 0.0369514i | ||||
\(687\) | 4.74504 | − | 21.8126i | 0.181035 | − | 0.832203i | ||||
\(688\) | 7.62623 | − | 0.545439i | 0.290747 | − | 0.0207947i | ||||
\(689\) | 48.2902 | 1.83971 | ||||||||
\(690\) | −10.7236 | − | 0.0719301i | −0.408239 | − | 0.00273833i | ||||
\(691\) | 13.8122 | 0.525442 | 0.262721 | − | 0.964872i | \(-0.415380\pi\) | ||||
0.262721 | + | 0.964872i | \(0.415380\pi\) | |||||||
\(692\) | −2.92036 | + | 0.208869i | −0.111016 | + | 0.00793999i | ||||
\(693\) | −0.448042 | + | 2.05962i | −0.0170197 | + | 0.0782383i | ||||
\(694\) | 35.0918 | − | 5.04543i | 1.33207 | − | 0.191522i | ||||
\(695\) | −0.0688089 | + | 0.235440i | −0.00261007 | + | 0.00893075i | ||||
\(696\) | 0.662840 | − | 4.61015i | 0.0251249 | − | 0.174747i | ||||
\(697\) | 31.7839 | − | 58.2078i | 1.20390 | − | 2.20478i | ||||
\(698\) | 7.12698 | − | 1.55038i | 0.269760 | − | 0.0586827i | ||||
\(699\) | −0.490385 | − | 0.223951i | −0.0185481 | − | 0.00847062i | ||||
\(700\) | −1.97513 | + | 1.48635i | −0.0746527 | + | 0.0561788i | ||||
\(701\) | −9.98141 | + | 8.64894i | −0.376992 | + | 0.326666i | −0.822661 | − | 0.568532i | \(-0.807511\pi\) |
0.445669 | + | 0.895198i | \(0.352966\pi\) | |||||||
\(702\) | −0.363761 | + | 5.08605i | −0.0137293 | + | 0.191960i | ||||
\(703\) | 26.1313 | − | 14.2688i | 0.985559 | − | 0.538156i | ||||
\(704\) | −1.77111 | + | 3.87818i | −0.0667511 | + | 0.146165i | ||||
\(705\) | 2.63079 | − | 0.776077i | 0.0990814 | − | 0.0292288i | ||||
\(706\) | 8.02475 | − | 2.35628i | 0.302015 | − | 0.0886797i | ||||
\(707\) | −2.76970 | − | 3.69989i | −0.104165 | − | 0.139149i | ||||
\(708\) | −5.78190 | − | 2.15654i | −0.217297 | − | 0.0810476i | ||||
\(709\) | −6.52545 | − | 45.3855i | −0.245068 | − | 1.70449i | −0.625949 | − | 0.779864i | \(-0.715288\pi\) |
0.380880 | − | 0.924624i | \(-0.375621\pi\) | |||||||
\(710\) | 2.33714 | − | 1.75416i | 0.0877112 | − | 0.0658326i | ||||
\(711\) | −4.97744 | − | 4.31297i | −0.186668 | − | 0.161749i | ||||
\(712\) | 6.59774 | − | 6.59774i | 0.247261 | − | 0.247261i | ||||
\(713\) | 0.0836554 | − | 0.550648i | 0.00313292 | − | 0.0206219i | ||||
\(714\) | − | 3.47313i | − | 0.129979i | ||||||
\(715\) | −29.0825 | + | 38.9520i | −1.08762 | + | 1.45672i | ||||
\(716\) | 9.74019 | − | 6.25964i | 0.364008 | − | 0.233934i | ||||
\(717\) | 7.44194 | − | 9.94127i | 0.277924 | − | 0.371263i | ||||
\(718\) | 2.17277 | − | 5.82542i | 0.0810870 | − | 0.217403i | ||||
\(719\) | −8.26669 | − | 1.18857i | −0.308295 | − | 0.0443262i | −0.0135692 | − | 0.999908i | \(-0.504319\pi\) |
−0.294726 | + | 0.955582i | \(0.595228\pi\) | |||||||
\(720\) | 2.03517 | + | 0.926329i | 0.0758463 | + | 0.0345223i | ||||
\(721\) | 4.27401 | + | 2.74674i | 0.159172 | + | 0.102294i | ||||
\(722\) | −29.4968 | + | 11.0017i | −1.09776 | + | 0.409442i | ||||
\(723\) | 7.00464 | + | 12.8280i | 0.260505 | + | 0.477080i | ||||
\(724\) | 14.7229 | + | 16.9911i | 0.547172 | + | 0.631471i | ||||
\(725\) | −17.6382 | − | 15.2058i | −0.655065 | − | 0.564729i | ||||
\(726\) | 6.88640 | + | 2.02203i | 0.255578 | + | 0.0750446i | ||||
\(727\) | 13.7394 | + | 36.8368i | 0.509566 | + | 1.36620i | 0.896070 | + | 0.443913i | \(0.146410\pi\) |
−0.386504 | + | 0.922288i | \(0.626317\pi\) | |||||||
\(728\) | −0.535851 | − | 2.46327i | −0.0198600 | − | 0.0912948i | ||||
\(729\) | −0.281733 | − | 0.959493i | −0.0104345 | − | 0.0355368i | ||||
\(730\) | 8.96262 | + | 10.3171i | 0.331721 | + | 0.381852i | ||||
\(731\) | 22.3130 | + | 48.8587i | 0.825277 | + | 1.80710i | ||||
\(732\) | −3.71971 | − | 2.78454i | −0.137485 | − | 0.102920i | ||||
\(733\) | 23.6714 | + | 5.14939i | 0.874321 | + | 0.190197i | 0.627267 | − | 0.778805i | \(-0.284174\pi\) |
0.247055 | + | 0.969002i | \(0.420537\pi\) | |||||||
\(734\) | −10.8251 | + | 12.4929i | −0.399563 | + | 0.461121i | ||||
\(735\) | 15.0661 | − | 1.09665i | 0.555721 | − | 0.0404507i | ||||
\(736\) | −3.36403 | − | 3.41808i | −0.124000 | − | 0.125992i | ||||
\(737\) | 4.34443 | + | 4.34443i | 0.160029 | + | 0.160029i | ||||
\(738\) | 0.673466 | + | 9.41629i | 0.0247906 | + | 0.346618i | ||||
\(739\) | −15.7837 | − | 24.5600i | −0.580614 | − | 0.903454i | 0.419376 | − | 0.907813i | \(-0.362249\pi\) |
−0.999991 | + | 0.00435888i | \(0.998613\pi\) | |||||||
\(740\) | 2.00330 | + | 9.15341i | 0.0736428 | + | 0.336486i | ||||
\(741\) | 32.9550 | − | 15.0500i | 1.21063 | − | 0.552877i | ||||
\(742\) | 3.74816 | − | 2.80584i | 0.137599 | − | 0.103006i | ||||
\(743\) | −14.2175 | − | 7.76333i | −0.521588 | − | 0.284809i | 0.196809 | − | 0.980442i | \(-0.436942\pi\) |
−0.718397 | + | 0.695633i | \(0.755124\pi\) | |||||||
\(744\) | −0.0627876 | + | 0.0976994i | −0.00230191 | + | 0.00358184i | ||||
\(745\) | −16.3209 | − | 35.6187i | −0.597951 | − | 1.30497i | ||||
\(746\) | 1.38857 | − | 4.72902i | 0.0508390 | − | 0.173142i | ||||
\(747\) | −16.1006 | − | 1.15154i | −0.589091 | − | 0.0421326i | ||||
\(748\) | −29.8753 | − | 2.13673i | −1.09235 | − | 0.0781264i | ||||
\(749\) | −0.0958671 | + | 0.326493i | −0.00350291 | + | 0.0119298i | ||||
\(750\) | 9.38256 | − | 6.08010i | 0.342602 | − | 0.222014i | ||||
\(751\) | 16.7656 | − | 26.0878i | 0.611785 | − | 0.951956i | −0.387759 | − | 0.921761i | \(-0.626751\pi\) |
0.999544 | − | 0.0301953i | \(-0.00961293\pi\) | |||||||
\(752\) | 1.07661 | + | 0.587872i | 0.0392598 | + | 0.0214375i | ||||
\(753\) | −11.6938 | + | 8.75389i | −0.426147 | + | 0.319010i | ||||
\(754\) | 21.6029 | − | 9.86572i | 0.786732 | − | 0.359288i | ||||
\(755\) | 18.5770 | + | 11.9056i | 0.676087 | + | 0.433290i | ||||
\(756\) | 0.267284 | + | 0.415902i | 0.00972101 | + | 0.0151262i | ||||
\(757\) | 1.33216 | + | 18.6261i | 0.0484183 | + | 0.676976i | 0.962472 | + | 0.271382i | \(0.0874807\pi\) |
−0.914053 | + | 0.405594i | \(0.867065\pi\) | |||||||
\(758\) | 0.341542 | + | 0.341542i | 0.0124054 | + | 0.0124054i | ||||
\(759\) | −12.3834 | + | 16.2704i | −0.449489 | + | 0.590578i | ||||
\(760\) | −1.15338 | − | 15.8454i | −0.0418376 | − | 0.574775i | ||||
\(761\) | −7.74211 | + | 8.93487i | −0.280651 | + | 0.323889i | −0.878520 | − | 0.477705i | \(-0.841469\pi\) |
0.597869 | + | 0.801594i | \(0.296014\pi\) | |||||||
\(762\) | 0.984765 | + | 0.214222i | 0.0356743 | + | 0.00776046i | ||||
\(763\) | −5.52618 | − | 4.13685i | −0.200061 | − | 0.149764i | ||||
\(764\) | 5.95325 | + | 13.0358i | 0.215381 | + | 0.471618i | ||||
\(765\) | −1.10088 | + | 15.6702i | −0.0398026 | + | 0.566556i | ||||
\(766\) | −3.69104 | − | 12.5705i | −0.133363 | − | 0.454191i | ||||
\(767\) | −6.68859 | − | 30.7470i | −0.241511 | − | 1.11021i | ||||
\(768\) | 0.349464 | + | 0.936950i | 0.0126102 | + | 0.0338093i | ||||
\(769\) | −44.2399 | − | 12.9900i | −1.59533 | − | 0.468432i | −0.641089 | − | 0.767466i | \(-0.721517\pi\) |
−0.954242 | + | 0.299035i | \(0.903335\pi\) | |||||||
\(770\) | 0.00594609 | + | 4.71315i | 0.000214282 | + | 0.169850i | ||||
\(771\) | −7.89513 | − | 9.11147i | −0.284336 | − | 0.328141i | ||||
\(772\) | −1.25485 | − | 2.29809i | −0.0451630 | − | 0.0827099i | ||||
\(773\) | −43.0735 | + | 16.0656i | −1.54925 | + | 0.577840i | −0.971221 | − | 0.238179i | \(-0.923450\pi\) |
−0.578026 | + | 0.816018i | \(0.696177\pi\) | |||||||
\(774\) | −6.43198 | − | 4.13358i | −0.231193 | − | 0.148579i | ||||
\(775\) | 0.242554 | + | 0.527593i | 0.00871281 | + | 0.0189517i | ||||
\(776\) | 18.2559 | + | 2.62481i | 0.655349 | + | 0.0942250i | ||||
\(777\) | −0.723976 | + | 1.94105i | −0.0259725 | + | 0.0696349i | ||||
\(778\) | −15.2034 | + | 20.3094i | −0.545070 | + | 0.728128i | ||||
\(779\) | 56.4263 | − | 36.2630i | 2.02168 | − | 1.29926i | ||||
\(780\) | 1.63688 | + | 11.2837i | 0.0586098 | + | 0.404021i | ||||
\(781\) | − | 5.57171i | − | 0.199372i | ||||||
\(782\) | 14.2398 | − | 30.5345i | 0.509214 | − | 1.09191i | ||||
\(783\) | −3.29339 | + | 3.29339i | −0.117696 | + | 0.117696i | ||||
\(784\) | 5.10553 | + | 4.42397i | 0.182340 | + | 0.157999i | ||||
\(785\) | −17.9782 | − | 23.9530i | −0.641668 | − | 0.854918i | ||||
\(786\) | −1.21551 | − | 8.45409i | −0.0433560 | − | 0.301547i | ||||
\(787\) | 29.1513 | + | 10.8729i | 1.03913 | + | 0.387576i | 0.810377 | − | 0.585909i | \(-0.199262\pi\) |
0.228753 | + | 0.973484i | \(0.426535\pi\) | |||||||
\(788\) | −8.77768 | − | 11.7256i | −0.312692 | − | 0.417707i | ||||
\(789\) | −1.95692 | + | 0.574604i | −0.0696682 | + | 0.0204564i | ||||
\(790\) | −12.9344 | − | 7.04156i | −0.460186 | − | 0.250528i | ||||
\(791\) | 1.20161 | − | 2.63115i | 0.0427242 | − | 0.0935529i | ||||
\(792\) | 3.74195 | − | 2.04326i | 0.132965 | − | 0.0726041i | ||||
\(793\) | 1.69022 | − | 23.6323i | 0.0600213 | − | 0.839208i | ||||
\(794\) | −15.2382 | + | 13.2039i | −0.540782 | + | 0.468590i | ||||
\(795\) | −17.8004 | + | 11.4714i | −0.631316 | + | 0.406848i | ||||
\(796\) | 21.1149 | + | 9.64283i | 0.748396 | + | 0.341781i | ||||
\(797\) | −0.324225 | + | 0.0705309i | −0.0114846 | + | 0.00249833i | −0.218304 | − | 0.975881i | \(-0.570052\pi\) |
0.206819 | + | 0.978379i | \(0.433689\pi\) | |||||||
\(798\) | 1.68342 | − | 3.08295i | 0.0595923 | − | 0.109135i | ||||
\(799\) | −1.22639 | + | 8.52975i | −0.0433867 | + | 0.301761i | ||||
\(800\) | 4.88840 | + | 1.05050i | 0.172831 | + | 0.0371406i | ||||
\(801\) | −9.23564 | + | 1.32788i | −0.326325 | + | 0.0469185i | ||||
\(802\) | −7.05362 | + | 32.4250i | −0.249072 | + | 1.14497i | ||||
\(803\) | 25.9911 | − | 1.85892i | 0.917205 | − | 0.0655998i | ||||
\(804\) | 1.44107 | 0.0508226 | ||||||||
\(805\) | −4.95486 | − | 1.88602i | −0.174636 | − | 0.0664735i | ||||
\(806\) | −0.592180 | −0.0208586 | ||||||||
\(807\) | 0.593183 | − | 0.0424253i | 0.0208810 | − | 0.00149344i | ||||
\(808\) | −1.98717 | + | 9.13485i | −0.0699082 | + | 0.321363i | ||||
\(809\) | 3.67752 | − | 0.528747i | 0.129295 | − | 0.0185898i | −0.0773637 | − | 0.997003i | \(-0.524650\pi\) |
0.206658 | + | 0.978413i | \(0.433741\pi\) | |||||||
\(810\) | −1.07411 | − | 1.96120i | −0.0377403 | − | 0.0689094i | ||||
\(811\) | −0.463899 | + | 3.22649i | −0.0162897 | + | 0.113297i | −0.996344 | − | 0.0854329i | \(-0.972773\pi\) |
0.980054 | + | 0.198730i | \(0.0636818\pi\) | |||||||
\(812\) | 1.10353 | − | 2.02096i | 0.0387262 | − | 0.0709218i | ||||
\(813\) | −16.3019 | + | 3.54627i | −0.571734 | + | 0.124373i | ||||
\(814\) | 16.2512 | + | 7.42169i | 0.569605 | + | 0.260130i | ||||
\(815\) | 0.777816 | − | 3.59741i | 0.0272457 | − | 0.126012i | ||||
\(816\) | −5.30928 | + | 4.60052i | −0.185862 | + | 0.161050i | ||||
\(817\) | −3.87537 | + | 54.1848i | −0.135582 | + | 1.89568i | ||||
\(818\) | 16.0105 | − | 8.74239i | 0.559794 | − | 0.305671i | ||||
\(819\) | −1.04721 | + | 2.29307i | −0.0365925 | + | 0.0801264i | ||||
\(820\) | 5.97271 | + | 20.2466i | 0.208576 | + | 0.707044i | ||||
\(821\) | 1.29350 | − | 0.379805i | 0.0451433 | − | 0.0132553i | −0.259083 | − | 0.965855i | \(-0.583420\pi\) |
0.304226 | + | 0.952600i | \(0.401602\pi\) | |||||||
\(822\) | −12.5327 | − | 16.7417i | −0.437127 | − | 0.583933i | ||||
\(823\) | 12.6415 | + | 4.71502i | 0.440653 | + | 0.164355i | 0.559991 | − | 0.828499i | \(-0.310804\pi\) |
−0.119338 | + | 0.992854i | \(0.538077\pi\) | |||||||
\(824\) | −1.46250 | − | 10.1719i | −0.0509485 | − | 0.354355i | ||||
\(825\) | 1.46710 | − | 21.2668i | 0.0510780 | − | 0.740414i | ||||
\(826\) | −2.30566 | − | 1.99787i | −0.0802242 | − | 0.0695147i | ||||
\(827\) | 13.5933 | − | 13.5933i | 0.472685 | − | 0.472685i | −0.430097 | − | 0.902783i | \(-0.641521\pi\) |
0.902783 | + | 0.430097i | \(0.141521\pi\) | |||||||
\(828\) | 0.644667 | + | 4.75231i | 0.0224037 | + | 0.165154i | ||||
\(829\) | 20.9469i | 0.727516i | 0.931494 | + | 0.363758i | \(0.118506\pi\) | ||||
−0.931494 | + | 0.363758i | \(0.881494\pi\) | |||||||
\(830\) | −35.7201 | + | 5.18179i | −1.23986 | + | 0.179862i | ||||
\(831\) | −19.1117 | + | 12.2824i | −0.662979 | + | 0.426071i | ||||
\(832\) | −3.05574 | + | 4.08199i | −0.105939 | + | 0.141518i | ||||
\(833\) | −16.5853 | + | 44.4669i | −0.574647 | + | 1.54069i | ||||
\(834\) | 0.108580 | + | 0.0156114i | 0.00375982 | + | 0.000540580i | ||||
\(835\) | −27.5810 | + | 10.3268i | −0.954481 | + | 0.357375i | ||||
\(836\) | −25.4834 | − | 16.3772i | −0.881360 | − | 0.566416i | ||||
\(837\) | 0.108813 | − | 0.0405852i | 0.00376113 | − | 0.00140283i | ||||
\(838\) | 0.631056 | + | 1.15569i | 0.0217995 | + | 0.0399228i | ||||
\(839\) | 23.6901 | + | 27.3399i | 0.817874 | + | 0.943876i | 0.999218 | − | 0.0395432i | \(-0.0125903\pi\) |
−0.181344 | + | 0.983420i | \(0.558045\pi\) | |||||||
\(840\) | 0.782674 | + | 0.780701i | 0.0270048 | + | 0.0269368i | ||||
\(841\) | −7.01115 | − | 2.05866i | −0.241764 | − | 0.0709883i | ||||
\(842\) | −6.62496 | − | 17.7622i | −0.228311 | − | 0.612126i | ||||
\(843\) | −6.96696 | − | 32.0266i | −0.239955 | − | 1.10306i | ||||
\(844\) | −4.93215 | − | 16.7974i | −0.169772 | − | 0.578189i | ||||
\(845\) | −21.9451 | + | 19.0641i | −0.754934 | + | 0.655823i | ||||
\(846\) | −0.509570 | − | 1.11580i | −0.0175194 | − | 0.0383621i | ||||
\(847\) | 2.84052 | + | 2.12639i | 0.0976015 | + | 0.0730635i | ||||
\(848\) | −9.25403 | − | 2.01309i | −0.317785 | − | 0.0691298i | ||||
\(849\) | 4.27892 | − | 4.93814i | 0.146852 | − | 0.169476i | ||||
\(850\) | 5.08665 | + | 34.7557i | 0.174471 | + | 1.19211i | ||||
\(851\) | −14.3232 | + | 14.0967i | −0.490993 | + | 0.483229i | ||||
\(852\) | −0.924083 | − | 0.924083i | −0.0316586 | − | 0.0316586i | ||||
\(853\) | 0.820759 | + | 11.4757i | 0.0281022 | + | 0.392921i | 0.991964 | + | 0.126519i | \(0.0403804\pi\) |
−0.963862 | + | 0.266402i | \(0.914165\pi\) | |||||||
\(854\) | −1.24193 | − | 1.93249i | −0.0424981 | − | 0.0661283i | ||||
\(855\) | −8.57249 | + | 13.3761i | −0.293173 | + | 0.457454i | ||||
\(856\) | 0.626087 | − | 0.285924i | 0.0213992 | − | 0.00977270i | ||||
\(857\) | −19.6222 | + | 14.6890i | −0.670281 | + | 0.501766i | −0.879375 | − | 0.476130i | \(-0.842039\pi\) |
0.209095 | + | 0.977895i | \(0.432948\pi\) | |||||||
\(858\) | 19.0804 | + | 10.4187i | 0.651393 | + | 0.355687i | ||||
\(859\) | 19.5646 | − | 30.4431i | 0.667535 | − | 1.03871i | −0.328033 | − | 0.944666i | \(-0.606386\pi\) |
0.995568 | − | 0.0940392i | \(-0.0299779\pi\) | |||||||
\(860\) | −16.0259 | − | 5.95434i | −0.546480 | − | 0.203041i | ||||
\(861\) | −1.31489 | + | 4.47809i | −0.0448112 | + | 0.152613i | ||||
\(862\) | 18.1332 | + | 1.29691i | 0.617618 | + | 0.0441729i | ||||
\(863\) | 6.26137 | + | 0.447822i | 0.213140 | + | 0.0152440i | 0.177501 | − | 0.984121i | \(-0.443199\pi\) |
0.0356389 | + | 0.999365i | \(0.488653\pi\) | |||||||
\(864\) | 0.281733 | − | 0.959493i | 0.00958474 | − | 0.0326426i | ||||
\(865\) | 6.13692 | + | 2.28014i | 0.208661 | + | 0.0775269i | ||||
\(866\) | −0.944798 | + | 1.47013i | −0.0321055 | + | 0.0499572i | ||||
\(867\) | −28.3958 | − | 15.5053i | −0.964372 | − | 0.526587i | ||||
\(868\) | −0.0459634 | + | 0.0344078i | −0.00156010 | + | 0.00116788i | ||||
\(869\) | −25.5421 | + | 11.6647i | −0.866456 | + | 0.395697i | ||||
\(870\) | −5.61951 | + | 8.76843i | −0.190519 | + | 0.297278i | ||||
\(871\) | 3.97267 | + | 6.18159i | 0.134609 | + | 0.209455i | ||||
\(872\) | 0.996107 | + | 13.9274i | 0.0337324 | + | 0.471641i | ||||
\(873\) | −13.0416 | − | 13.0416i | −0.441392 | − | 0.441392i | ||||
\(874\) | 27.4400 | − | 20.2021i | 0.928172 | − | 0.683347i | ||||
\(875\) | 5.39657 | − | 1.19536i | 0.182437 | − | 0.0404106i | ||||
\(876\) | 4.00238 | − | 4.61899i | 0.135228 | − | 0.156061i | ||||
\(877\) | 33.7515 | + | 7.34220i | 1.13971 | + | 0.247928i | 0.742530 | − | 0.669813i | \(-0.233626\pi\) |
0.397178 | + | 0.917741i | \(0.369989\pi\) | |||||||
\(878\) | −10.8628 | − | 8.13176i | −0.366600 | − | 0.274433i | ||||
\(879\) | 1.45411 | + | 3.18405i | 0.0490458 | + | 0.107395i | ||||
\(880\) | 7.19698 | − | 6.25213i | 0.242610 | − | 0.210759i | ||||
\(881\) | −3.73913 | − | 12.7343i | −0.125975 | − | 0.429030i | 0.872219 | − | 0.489116i | \(-0.162681\pi\) |
−0.998193 | + | 0.0600862i | \(0.980862\pi\) | |||||||
\(882\) | −1.43600 | − | 6.60120i | −0.0483527 | − | 0.222274i | ||||
\(883\) | 15.5976 | + | 41.8188i | 0.524902 | + | 1.40732i | 0.881111 | + | 0.472910i | \(0.156796\pi\) |
−0.356209 | + | 0.934406i | \(0.615931\pi\) | |||||||
\(884\) | −34.3707 | − | 10.0921i | −1.15601 | − | 0.339435i | ||||
\(885\) | 9.76947 | + | 9.74486i | 0.328397 | + | 0.327570i | ||||
\(886\) | 21.9673 | + | 25.3516i | 0.738004 | + | 0.851702i | ||||
\(887\) | 15.1386 | + | 27.7243i | 0.508305 | + | 0.930891i | 0.998250 | + | 0.0591375i | \(0.0188350\pi\) |
−0.489945 | + | 0.871753i | \(0.662983\pi\) | |||||||
\(888\) | 3.92621 | − | 1.46440i | 0.131755 | − | 0.0491421i | ||||
\(889\) | 0.419144 | + | 0.269367i | 0.0140576 | + | 0.00903429i | ||||
\(890\) | −19.5392 | + | 7.31584i | −0.654956 | + | 0.245227i | ||||
\(891\) | −4.22007 | − | 0.606754i | −0.141378 | − | 0.0203270i | ||||
\(892\) | −5.43507 | + | 14.5720i | −0.181980 | + | 0.487906i | ||||
\(893\) | −5.22296 | + | 6.97705i | −0.174780 | + | 0.233478i | ||||
\(894\) | −14.7403 | + | 9.47299i | −0.492988 | + | 0.316824i | ||||
\(895\) | −25.6214 | + | 3.71680i | −0.856429 | + | 0.124239i | ||||
\(896\) | 0.494383i | 0.0165162i | ||||||||
\(897\) | −18.6082 | + | 15.8663i | −0.621311 | + | 0.529759i | ||||
\(898\) | −8.99349 | + | 8.99349i | −0.300117 | + | 0.300117i | ||||
\(899\) | −0.408791 | − | 0.354219i | −0.0136339 | − | 0.0118139i | ||||
\(900\) | −3.28383 | − | 3.77047i | −0.109461 | − | 0.125682i | ||||
\(901\) | −9.46845 | − | 65.8545i | −0.315440 | − | 2.19393i | ||||
\(902\) | 37.7109 | + | 14.0654i | 1.25563 | + | 0.468327i | ||||
\(903\) | −2.26522 | − | 3.02597i | −0.0753817 | − | 0.100698i | ||||
\(904\) | −5.61381 | + | 1.64836i | −0.186713 | + | 0.0548238i | ||||
\(905\) | −14.2242 | − | 48.2181i | −0.472829 | − | 1.60282i | ||||
\(906\) | 4.09916 | − | 8.97590i | 0.136185 | − | 0.298204i | ||||
\(907\) | 14.3427 | − | 7.83169i | 0.476241 | − | 0.260047i | −0.223153 | − | 0.974783i | \(-0.571635\pi\) |
0.699394 | + | 0.714736i | \(0.253453\pi\) | |||||||
\(908\) | 1.73537 | − | 24.2636i | 0.0575902 | − | 0.805216i | ||||
\(909\) | 7.06512 | − | 6.12196i | 0.234335 | − | 0.203053i | ||||
\(910\) | −1.19125 | + | 5.50954i | −0.0394895 | + | 0.182640i | ||||
\(911\) | 31.0181 | + | 14.1655i | 1.02767 | + | 0.469323i | 0.856625 | − | 0.515940i | \(-0.172557\pi\) |
0.171049 | + | 0.985263i | \(0.445284\pi\) | |||||||
\(912\) | −6.94268 | + | 1.51029i | −0.229895 | + | 0.0500106i | ||||
\(913\) | −32.9818 | + | 60.4017i | −1.09154 | + | 1.99900i | ||||
\(914\) | 4.09449 | − | 28.4778i | 0.135434 | − | 0.941961i | ||||
\(915\) | 4.99084 | + | 9.11269i | 0.164992 | + | 0.301256i | ||||
\(916\) | −22.0956 | + | 3.17686i | −0.730058 | + | 0.104966i | ||||
\(917\) | 0.897565 | − | 4.12604i | 0.0296402 | − | 0.136254i | ||||
\(918\) | 7.00729 | − | 0.501171i | 0.231275 | − | 0.0165411i | ||||
\(919\) | −19.1375 | −0.631289 | −0.315644 | − | 0.948878i | \(-0.602221\pi\) | ||||
−0.315644 | + | 0.948878i | \(0.602221\pi\) | |||||||
\(920\) | 3.68011 | + | 10.0726i | 0.121330 | + | 0.332083i | ||||
\(921\) | 33.5787 | 1.10646 | ||||||||
\(922\) | 9.05475 | − | 0.647608i | 0.298202 | − | 0.0213278i | ||||
\(923\) | 1.41647 | − | 6.51140i | 0.0466236 | − | 0.214325i | ||||
\(924\) | 2.08633 | − | 0.299969i | 0.0686352 | − | 0.00986826i | ||||
\(925\) | 4.40202 | − | 20.4845i | 0.144737 | − | 0.673525i | ||||
\(926\) | 5.08069 | − | 35.3370i | 0.166962 | − | 1.16125i | ||||
\(927\) | −4.92500 | + | 9.01946i | −0.161758 | + | 0.296238i | ||||
\(928\) | −4.55112 | + | 0.990035i | −0.149398 | + | 0.0324995i | ||||
\(929\) | −8.93771 | − | 4.08172i | −0.293237 | − | 0.133917i | 0.263365 | − | 0.964696i | \(-0.415168\pi\) |
−0.556602 | + | 0.830780i | \(0.687895\pi\) | |||||||
\(930\) | 0.218285 | − | 0.140673i | 0.00715786 | − | 0.00461285i | ||||
\(931\) | −36.2750 | + | 31.4325i | −1.18887 | + | 1.03016i | ||||
\(932\) | −0.0384592 | + | 0.537729i | −0.00125977 | + | 0.0176139i | ||||
\(933\) | −22.5897 | + | 12.3349i | −0.739553 | + | 0.403826i | ||||
\(934\) | −14.3849 | + | 31.4986i | −0.470690 | + | 1.03067i | ||||
\(935\) | 58.8220 | + | 32.0230i | 1.92369 | + | 1.04726i | ||||
\(936\) | 4.89249 | − | 1.43657i | 0.159916 | − | 0.0469556i | ||||
\(937\) | 14.9339 | + | 19.9493i | 0.487869 | + | 0.651717i | 0.975154 | − | 0.221526i | \(-0.0711038\pi\) |
−0.487286 | + | 0.873243i | \(0.662013\pi\) | |||||||
\(938\) | 0.667521 | + | 0.248972i | 0.0217953 | + | 0.00812924i | ||||
\(939\) | −1.77764 | − | 12.3638i | −0.0580111 | − | 0.403476i | ||||
\(940\) | −1.64651 | − | 2.19371i | −0.0537034 | − | 0.0715509i | ||||
\(941\) | 16.1312 | + | 13.9777i | 0.525861 | + | 0.455661i | 0.876882 | − | 0.480707i | \(-0.159620\pi\) |
−0.351020 | + | 0.936368i | \(0.614165\pi\) | |||||||
\(942\) | −9.47079 | + | 9.47079i | −0.308575 | + | 0.308575i | ||||
\(943\) | −29.9201 | + | 33.9787i | −0.974332 | + | 1.10650i | ||||
\(944\) | 6.17098i | 0.200848i | ||||||||
\(945\) | −0.158706 | − | 1.09402i | −0.00516270 | − | 0.0355886i | ||||
\(946\) | −27.4225 | + | 17.6234i | −0.891583 | + | 0.572986i | ||||
\(947\) | −30.4368 | + | 40.6588i | −0.989064 | + | 1.32123i | −0.0423697 | + | 0.999102i | \(0.513491\pi\) |
−0.946694 | + | 0.322133i | \(0.895600\pi\) | |||||||
\(948\) | −2.30160 | + | 6.17084i | −0.0747526 | + | 0.200419i | ||||
\(949\) | 30.8471 | + | 4.43514i | 1.00134 | + | 0.143971i | ||||
\(950\) | −12.3308 | + | 33.3166i | −0.400063 | + | 1.08093i | ||||
\(951\) | 10.3597 | + | 6.65775i | 0.335935 | + | 0.215892i | ||||
\(952\) | −3.25415 | + | 1.21374i | −0.105468 | + | 0.0393374i | ||||
\(953\) | −13.4516 | − | 24.6348i | −0.435741 | − | 0.798001i | 0.563870 | − | 0.825863i | \(-0.309312\pi\) |
−0.999612 | + | 0.0278625i | \(0.991130\pi\) | |||||||
\(954\) | 6.20183 | + | 7.15729i | 0.200792 | + | 0.231726i | ||||
\(955\) | −0.0404275 | − | 32.0447i | −0.00130820 | − | 1.03694i | ||||
\(956\) | −11.9152 | − | 3.49861i | −0.385364 | − | 0.113153i | ||||
\(957\) | 6.93943 | + | 18.6053i | 0.224320 | + | 0.601425i | ||||
\(958\) | 5.25885 | + | 24.1746i | 0.169906 | + | 0.781045i | ||||
\(959\) | −2.91284 | − | 9.92021i | −0.0940604 | − | 0.320340i | ||||
\(960\) | 0.156705 | − | 2.23057i | 0.00505764 | − | 0.0719913i | ||||
\(961\) | −12.8723 | − | 28.1863i | −0.415234 | − | 0.909236i | ||||
\(962\) | 17.1053 | + | 12.8048i | 0.551496 | + | 0.412845i | ||||
\(963\) | −0.672557 | − | 0.146306i | −0.0216728 | − | 0.00471464i | ||||
\(964\) | 9.57136 | − | 11.0459i | 0.308273 | − | 0.355766i | ||||
\(965\) | 0.425047 | + | 5.83940i | 0.0136828 | + | 0.187977i | ||||
\(966\) | −0.522434 | + | 2.31270i | −0.0168090 | + | 0.0744100i | ||||
\(967\) | −4.59885 | − | 4.59885i | −0.147889 | − | 0.147889i | 0.629285 | − | 0.777174i | \(-0.283348\pi\) |
−0.777174 | + | 0.629285i | \(0.783348\pi\) | |||||||
\(968\) | −0.512010 | − | 7.15884i | −0.0164566 | − | 0.230094i | ||||
\(969\) | −26.9857 | − | 41.9906i | −0.866906 | − | 1.34893i | ||||
\(970\) | −34.7225 | − | 22.2529i | −1.11487 | − | 0.714498i | ||||
\(971\) | −30.7798 | + | 14.0567i | −0.987772 | + | 0.451100i | −0.842737 | − | 0.538326i | \(-0.819057\pi\) |
−0.145036 | + | 0.989426i | \(0.546330\pi\) | |||||||
\(972\) | −0.800541 | + | 0.599278i | −0.0256774 | + | 0.0192218i | ||||
\(973\) | 0.0475984 | + | 0.0259907i | 0.00152593 | + | 0.000833223i | ||||
\(974\) | 2.77174 | − | 4.31291i | 0.0888123 | − | 0.138195i | ||||
\(975\) | 7.12108 | − | 24.4805i | 0.228057 | − | 0.784004i | ||||
\(976\) | −1.30907 | + | 4.45828i | −0.0419023 | + | 0.142706i | ||||
\(977\) | 33.5890 | + | 2.40233i | 1.07461 | + | 0.0768575i | 0.597408 | − | 0.801937i | \(-0.296197\pi\) |
0.477200 | + | 0.878795i | \(0.341652\pi\) | |||||||
\(978\) | −1.64179 | − | 0.117423i | −0.0524987 | − | 0.00375478i | ||||
\(979\) | −11.2075 | + | 38.1693i | −0.358194 | + | 1.21990i | ||||
\(980\) | −6.29257 | − | 13.7329i | −0.201009 | − | 0.438682i | ||||
\(981\) | 7.54895 | − | 11.7464i | 0.241019 | − | 0.375034i | ||||
\(982\) | 6.48712 | + | 3.54223i | 0.207012 | + | 0.113037i | ||||
\(983\) | −11.6619 | + | 8.72998i | −0.371957 | + | 0.278443i | −0.768860 | − | 0.639417i | \(-0.779176\pi\) |
0.396903 | + | 0.917860i | \(0.370085\pi\) | |||||||
\(984\) | 8.58723 | − | 3.92166i | 0.273751 | − | 0.125018i | ||||
\(985\) | 7.00229 | + | 31.9946i | 0.223111 | + | 1.01943i | ||||
\(986\) | −17.6899 | − | 27.5260i | −0.563361 | − | 0.876607i | ||||
\(987\) | −0.0432626 | − | 0.604891i | −0.00137706 | − | 0.0192539i | ||||
\(988\) | −25.6177 | − | 25.6177i | −0.815008 | − | 0.815008i | ||||
\(989\) | −7.50847 | − | 35.8906i | −0.238756 | − | 1.14125i | ||||
\(990\) | −9.50824 | + | 0.692101i | −0.302192 | + | 0.0219964i | ||||
\(991\) | 34.7957 | − | 40.1564i | 1.10532 | − | 1.27561i | 0.147245 | − | 0.989100i | \(-0.452960\pi\) |
0.958077 | − | 0.286509i | \(-0.0924950\pi\) | |||||||
\(992\) | 0.113481 | + | 0.0246864i | 0.00360304 | + | 0.000783794i | ||||
\(993\) | −6.43801 | − | 4.81943i | −0.204304 | − | 0.152940i | ||||
\(994\) | −0.268393 | − | 0.587699i | −0.00851292 | − | 0.0186407i | ||||
\(995\) | −34.0399 | − | 39.1841i | −1.07914 | − | 1.24222i | ||||
\(996\) | 4.54766 | + | 15.4879i | 0.144098 | + | 0.490753i | ||||
\(997\) | 5.48607 | + | 25.2191i | 0.173746 | + | 0.798695i | 0.978690 | + | 0.205345i | \(0.0658316\pi\) |
−0.804944 | + | 0.593351i | \(0.797805\pi\) | |||||||
\(998\) | −4.78068 | − | 12.8175i | −0.151330 | − | 0.405731i | ||||
\(999\) | −4.02068 | − | 1.18058i | −0.127209 | − | 0.0373518i |
(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 | 690.2.w.a.7.7 | ✓ | 240 | |
5.3 | odd | 4 | inner | 690.2.w.a.283.3 | yes | 240 | |
23.10 | odd | 22 | inner | 690.2.w.a.217.3 | yes | 240 | |
115.33 | even | 44 | inner | 690.2.w.a.493.7 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.2.w.a.7.7 | ✓ | 240 | 1.1 | even | 1 | trivial | |
690.2.w.a.217.3 | yes | 240 | 23.10 | odd | 22 | inner | |
690.2.w.a.283.3 | yes | 240 | 5.3 | odd | 4 | inner | |
690.2.w.a.493.7 | yes | 240 | 115.33 | even | 44 | inner |