Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(7,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([0, 42, 55]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.bs (of order \(60\), degree \(16\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 19.3 | ||
Character | \(\chi\) | \(=\) | 429.19 |
Dual form | 429.2.bs.b.271.3 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(e\left(\frac{5}{12}\right)\) | \(e\left(\frac{3}{10}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.36075 | + | 1.68039i | −0.962199 | + | 1.18822i | 0.0198907 | + | 0.999802i | \(0.493668\pi\) |
−0.982090 | + | 0.188415i | \(0.939665\pi\) | |||||||
\(3\) | −0.978148 | − | 0.207912i | −0.564734 | − | 0.120038i | ||||
\(4\) | −0.556241 | − | 2.61691i | −0.278120 | − | 1.30845i | ||||
\(5\) | 4.09781 | − | 0.649030i | 1.83260 | − | 0.290255i | 0.857906 | − | 0.513807i | \(-0.171765\pi\) |
0.974692 | + | 0.223552i | \(0.0717651\pi\) | |||||||
\(6\) | 1.68039 | − | 1.36075i | 0.686017 | − | 0.555526i | ||||
\(7\) | −0.0869532 | + | 0.133896i | −0.0328652 | + | 0.0506080i | −0.854721 | − | 0.519087i | \(-0.826272\pi\) |
0.821856 | + | 0.569695i | \(0.192939\pi\) | |||||||
\(8\) | 1.30116 | + | 0.662975i | 0.460030 | + | 0.234397i | ||||
\(9\) | 0.913545 | + | 0.406737i | 0.304515 | + | 0.135579i | ||||
\(10\) | −4.48550 | + | 7.76911i | −1.41844 | + | 2.45681i | ||||
\(11\) | −0.859223 | − | 3.20339i | −0.259065 | − | 0.965860i | ||||
\(12\) | 2.67537i | 0.772313i | ||||||||
\(13\) | −2.01601 | − | 2.98926i | −0.559141 | − | 0.829073i | ||||
\(14\) | −0.106676 | − | 0.328315i | −0.0285104 | − | 0.0877460i | ||||
\(15\) | −4.14321 | − | 0.217136i | −1.06977 | − | 0.0560644i | ||||
\(16\) | 2.00352 | − | 0.892027i | 0.500881 | − | 0.223007i | ||||
\(17\) | 0.785174 | − | 7.47043i | 0.190433 | − | 1.81185i | −0.315122 | − | 0.949051i | \(-0.602045\pi\) |
0.505554 | − | 0.862795i | \(-0.331288\pi\) | |||||||
\(18\) | −1.92659 | + | 0.981646i | −0.454101 | + | 0.231376i | ||||
\(19\) | −1.07187 | + | 0.0561744i | −0.245904 | + | 0.0128873i | −0.174890 | − | 0.984588i | \(-0.555957\pi\) |
−0.0710144 | + | 0.997475i | \(0.522624\pi\) | |||||||
\(20\) | −3.97782 | − | 10.3626i | −0.889468 | − | 2.31714i | ||||
\(21\) | 0.112892 | − | 0.112892i | 0.0246350 | − | 0.0246350i | ||||
\(22\) | 6.55215 | + | 2.91520i | 1.39692 | + | 0.621523i | ||||
\(23\) | −6.32018 | − | 3.64896i | −1.31785 | − | 0.760861i | −0.334467 | − | 0.942407i | \(-0.608556\pi\) |
−0.983382 | + | 0.181547i | \(0.941890\pi\) | |||||||
\(24\) | −1.13489 | − | 0.919015i | −0.231658 | − | 0.187593i | ||||
\(25\) | 11.6156 | − | 3.77412i | 2.32311 | − | 0.754825i | ||||
\(26\) | 7.76643 | + | 0.679965i | 1.52312 | + | 0.133352i | ||||
\(27\) | −0.809017 | − | 0.587785i | −0.155695 | − | 0.113119i | ||||
\(28\) | 0.398761 | + | 0.153070i | 0.0753587 | + | 0.0289275i | ||||
\(29\) | −1.20944 | + | 1.08898i | −0.224587 | + | 0.202219i | −0.773741 | − | 0.633502i | \(-0.781617\pi\) |
0.549154 | + | 0.835721i | \(0.314950\pi\) | |||||||
\(30\) | 6.00276 | − | 6.66674i | 1.09595 | − | 1.21718i | ||||
\(31\) | −1.01487 | + | 6.40761i | −0.182275 | + | 1.15084i | 0.711620 | + | 0.702565i | \(0.247962\pi\) |
−0.893895 | + | 0.448276i | \(0.852038\pi\) | |||||||
\(32\) | −1.98327 | + | 7.40168i | −0.350596 | + | 1.30844i | ||||
\(33\) | 0.174423 | + | 3.31204i | 0.0303632 | + | 0.576551i | ||||
\(34\) | 11.4848 | + | 11.4848i | 1.96963 | + | 1.96963i | ||||
\(35\) | −0.269415 | + | 0.605117i | −0.0455395 | + | 0.102283i | ||||
\(36\) | 0.556241 | − | 2.61691i | 0.0927068 | − | 0.436151i | ||||
\(37\) | 0.156927 | − | 2.99434i | 0.0257986 | − | 0.492267i | −0.954923 | − | 0.296855i | \(-0.904062\pi\) |
0.980721 | − | 0.195412i | \(-0.0626044\pi\) | |||||||
\(38\) | 1.36416 | − | 1.87761i | 0.221296 | − | 0.304588i | ||||
\(39\) | 1.35045 | + | 3.34309i | 0.216246 | + | 0.535323i | ||||
\(40\) | 5.76221 | + | 1.87226i | 0.911086 | + | 0.296030i | ||||
\(41\) | 1.08954 | + | 1.67774i | 0.170158 | + | 0.262020i | 0.913454 | − | 0.406943i | \(-0.133405\pi\) |
−0.743296 | + | 0.668963i | \(0.766739\pi\) | |||||||
\(42\) | 0.0360844 | + | 0.343320i | 0.00556794 | + | 0.0529754i | ||||
\(43\) | 3.75064 | + | 6.49629i | 0.571967 | + | 0.990675i | 0.996364 | + | 0.0851993i | \(0.0271527\pi\) |
−0.424397 | + | 0.905476i | \(0.639514\pi\) | |||||||
\(44\) | −7.90505 | + | 4.03037i | −1.19173 | + | 0.607601i | ||||
\(45\) | 4.00752 | + | 1.07381i | 0.597406 | + | 0.160075i | ||||
\(46\) | 14.7319 | − | 5.65505i | 2.17210 | − | 0.833791i | ||||
\(47\) | 5.38506 | − | 10.5688i | 0.785492 | − | 1.54161i | −0.0541872 | − | 0.998531i | \(-0.517257\pi\) |
0.839679 | − | 0.543083i | \(-0.182743\pi\) | |||||||
\(48\) | −2.14521 | + | 0.455978i | −0.309634 | + | 0.0658147i | ||||
\(49\) | 2.83679 | + | 6.37153i | 0.405256 | + | 0.910219i | ||||
\(50\) | −9.46392 | + | 24.6543i | −1.33840 | + | 3.48665i | ||||
\(51\) | −2.32121 | + | 7.14394i | −0.325034 | + | 1.00035i | ||||
\(52\) | −6.70124 | + | 6.93847i | −0.929295 | + | 0.962192i | ||||
\(53\) | 6.07191 | − | 4.41150i | 0.834041 | − | 0.605966i | −0.0866585 | − | 0.996238i | \(-0.527619\pi\) |
0.920700 | + | 0.390272i | \(0.127619\pi\) | |||||||
\(54\) | 2.08858 | − | 0.559634i | 0.284220 | − | 0.0761566i | ||||
\(55\) | −5.60003 | − | 12.5693i | −0.755108 | − | 1.69484i | ||||
\(56\) | −0.201910 | + | 0.116573i | −0.0269814 | + | 0.0155777i | ||||
\(57\) | 1.06013 | + | 0.167908i | 0.140417 | + | 0.0222399i | ||||
\(58\) | −0.184169 | − | 3.51416i | −0.0241826 | − | 0.461432i | ||||
\(59\) | 5.26502 | + | 3.41915i | 0.685448 | + | 0.445135i | 0.839811 | − | 0.542879i | \(-0.182666\pi\) |
−0.154363 | + | 0.988014i | \(0.549333\pi\) | |||||||
\(60\) | 1.73640 | + | 10.9632i | 0.224168 | + | 1.41534i | ||||
\(61\) | −7.05976 | − | 0.742011i | −0.903910 | − | 0.0950048i | −0.358844 | − | 0.933398i | \(-0.616829\pi\) |
−0.545066 | + | 0.838393i | \(0.683496\pi\) | |||||||
\(62\) | −9.38632 | − | 10.4246i | −1.19206 | − | 1.32392i | ||||
\(63\) | −0.133896 | + | 0.0869532i | −0.0168693 | + | 0.0109551i | ||||
\(64\) | −7.16079 | − | 9.85598i | −0.895099 | − | 1.23200i | ||||
\(65\) | −10.2014 | − | 10.9410i | −1.26532 | − | 1.35706i | ||||
\(66\) | −5.80287 | − | 4.21377i | −0.714283 | − | 0.518679i | ||||
\(67\) | 0.826064 | + | 3.08291i | 0.100920 | + | 0.376638i | 0.997850 | − | 0.0655336i | \(-0.0208750\pi\) |
−0.896931 | + | 0.442171i | \(0.854208\pi\) | |||||||
\(68\) | −19.9862 | + | 2.10063i | −2.42368 | + | 0.254739i | ||||
\(69\) | 5.42341 | + | 4.88326i | 0.652902 | + | 0.587876i | ||||
\(70\) | −0.650225 | − | 1.27614i | −0.0777168 | − | 0.152528i | ||||
\(71\) | 3.19341 | + | 3.94353i | 0.378988 | + | 0.468011i | 0.930572 | − | 0.366108i | \(-0.119310\pi\) |
−0.551584 | + | 0.834119i | \(0.685977\pi\) | |||||||
\(72\) | 0.919015 | + | 1.13489i | 0.108307 | + | 0.133748i | ||||
\(73\) | 0.842358 | + | 1.65322i | 0.0985906 | + | 0.193495i | 0.935034 | − | 0.354559i | \(-0.115369\pi\) |
−0.836443 | + | 0.548054i | \(0.815369\pi\) | |||||||
\(74\) | 4.81813 | + | 4.33826i | 0.560096 | + | 0.504313i | ||||
\(75\) | −12.1464 | + | 1.27664i | −1.40255 | + | 0.147414i | ||||
\(76\) | 0.743223 | + | 2.77374i | 0.0852535 | + | 0.318170i | ||||
\(77\) | 0.503634 | + | 0.163499i | 0.0573945 | + | 0.0186324i | ||||
\(78\) | −7.45534 | − | 2.27984i | −0.844152 | − | 0.258141i | ||||
\(79\) | 2.38773 | + | 3.28643i | 0.268640 | + | 0.369752i | 0.921930 | − | 0.387356i | \(-0.126612\pi\) |
−0.653290 | + | 0.757108i | \(0.726612\pi\) | |||||||
\(80\) | 7.63112 | − | 4.95571i | 0.853185 | − | 0.554065i | ||||
\(81\) | 0.669131 | + | 0.743145i | 0.0743478 | + | 0.0825716i | ||||
\(82\) | −4.30186 | − | 0.452144i | −0.475061 | − | 0.0499310i | ||||
\(83\) | 0.658470 | + | 4.15742i | 0.0722765 | + | 0.456336i | 0.997110 | + | 0.0759650i | \(0.0242037\pi\) |
−0.924834 | + | 0.380371i | \(0.875796\pi\) | |||||||
\(84\) | −0.358222 | − | 0.232632i | −0.0390852 | − | 0.0253822i | ||||
\(85\) | −1.63104 | − | 31.1220i | −0.176911 | − | 3.37566i | ||||
\(86\) | −16.0200 | − | 2.53732i | −1.72748 | − | 0.273606i | ||||
\(87\) | 1.40942 | − | 0.813728i | 0.151106 | − | 0.0872408i | ||||
\(88\) | 1.00578 | − | 4.73778i | 0.107217 | − | 0.505049i | ||||
\(89\) | −1.70716 | + | 0.457431i | −0.180958 | + | 0.0484876i | −0.348160 | − | 0.937435i | \(-0.613193\pi\) |
0.167202 | + | 0.985923i | \(0.446527\pi\) | |||||||
\(90\) | −7.25768 | + | 5.27302i | −0.765027 | + | 0.555825i | ||||
\(91\) | 0.575550 | − | 0.0100102i | 0.0603340 | − | 0.00104936i | ||||
\(92\) | −6.03345 | + | 18.5690i | −0.629030 | + | 1.93596i | ||||
\(93\) | 2.32491 | − | 6.05659i | 0.241082 | − | 0.628039i | ||||
\(94\) | 10.4319 | + | 23.4305i | 1.07597 | + | 2.41667i | ||||
\(95\) | −4.35587 | + | 0.925870i | −0.446903 | + | 0.0949922i | ||||
\(96\) | 3.47883 | − | 6.82759i | 0.355056 | − | 0.696838i | ||||
\(97\) | 12.4315 | − | 4.77201i | 1.26223 | − | 0.484524i | 0.367037 | − | 0.930206i | \(-0.380372\pi\) |
0.895191 | + | 0.445683i | \(0.147039\pi\) | |||||||
\(98\) | −14.5668 | − | 3.90318i | −1.47147 | − | 0.394280i | ||||
\(99\) | 0.517999 | − | 3.27592i | 0.0520609 | − | 0.329243i | ||||
\(100\) | −16.3376 | − | 28.2975i | −1.63376 | − | 2.82975i | ||||
\(101\) | 0.726033 | + | 6.90774i | 0.0722429 | + | 0.687346i | 0.969375 | + | 0.245584i | \(0.0789797\pi\) |
−0.897132 | + | 0.441762i | \(0.854354\pi\) | |||||||
\(102\) | −8.84603 | − | 13.6217i | −0.875887 | − | 1.34875i | ||||
\(103\) | −2.74082 | − | 0.890546i | −0.270061 | − | 0.0877481i | 0.170856 | − | 0.985296i | \(-0.445347\pi\) |
−0.440917 | + | 0.897548i | \(0.645347\pi\) | |||||||
\(104\) | −0.641350 | − | 5.22608i | −0.0628896 | − | 0.512460i | ||||
\(105\) | 0.389339 | − | 0.535879i | 0.0379956 | − | 0.0522964i | ||||
\(106\) | −0.849329 | + | 16.2062i | −0.0824941 | + | 1.57408i | ||||
\(107\) | 2.32214 | − | 10.9248i | 0.224490 | − | 1.05614i | −0.711111 | − | 0.703080i | \(-0.751808\pi\) |
0.935600 | − | 0.353061i | \(-0.114859\pi\) | |||||||
\(108\) | −1.08817 | + | 2.44407i | −0.104709 | + | 0.235181i | ||||
\(109\) | 0.891263 | + | 0.891263i | 0.0853675 | + | 0.0853675i | 0.748501 | − | 0.663134i | \(-0.230774\pi\) |
−0.663134 | + | 0.748501i | \(0.730774\pi\) | |||||||
\(110\) | 28.7415 | + | 7.69342i | 2.74040 | + | 0.733539i | ||||
\(111\) | −0.776056 | + | 2.89628i | −0.0736600 | + | 0.274903i | ||||
\(112\) | −0.0547739 | + | 0.345829i | −0.00517565 | + | 0.0326778i | ||||
\(113\) | −9.33101 | + | 10.3631i | −0.877787 | + | 0.974882i | −0.999844 | − | 0.0176416i | \(-0.994384\pi\) |
0.122057 | + | 0.992523i | \(0.461051\pi\) | |||||||
\(114\) | −1.72473 | + | 1.55295i | −0.161535 | + | 0.145447i | ||||
\(115\) | −28.2672 | − | 10.8508i | −2.63593 | − | 1.01184i | ||||
\(116\) | 3.52250 | + | 2.55925i | 0.327056 | + | 0.237620i | ||||
\(117\) | −0.625875 | − | 3.55081i | −0.0578622 | − | 0.328273i | ||||
\(118\) | −12.9099 | + | 4.19469i | −1.18845 | + | 0.386152i | ||||
\(119\) | 0.931989 | + | 0.754710i | 0.0854353 | + | 0.0691841i | ||||
\(120\) | −5.24703 | − | 3.02937i | −0.478986 | − | 0.276543i | ||||
\(121\) | −9.52347 | + | 5.50486i | −0.865770 | + | 0.500442i | ||||
\(122\) | 10.8535 | − | 10.8535i | 0.982627 | − | 0.982627i | ||||
\(123\) | −0.716908 | − | 1.86761i | −0.0646414 | − | 0.168397i | ||||
\(124\) | 17.3326 | − | 0.908365i | 1.55652 | − | 0.0815736i | ||||
\(125\) | 26.6654 | − | 13.5867i | 2.38503 | − | 1.21523i | ||||
\(126\) | 0.0360844 | − | 0.343320i | 0.00321465 | − | 0.0305854i | ||||
\(127\) | −14.3399 | + | 6.38454i | −1.27246 | + | 0.566536i | −0.928110 | − | 0.372305i | \(-0.878568\pi\) |
−0.344351 | + | 0.938841i | \(0.611901\pi\) | |||||||
\(128\) | 11.0014 | + | 0.576561i | 0.972399 | + | 0.0509613i | ||||
\(129\) | −2.31802 | − | 7.13413i | −0.204090 | − | 0.628126i | ||||
\(130\) | 32.2667 | − | 2.25428i | 2.82998 | − | 0.197713i | ||||
\(131\) | − | 12.2990i | − | 1.07457i | −0.843401 | − | 0.537284i | \(-0.819450\pi\) | ||
0.843401 | − | 0.537284i | \(-0.180550\pi\) | |||||||
\(132\) | 8.57027 | − | 2.29874i | 0.745946 | − | 0.200080i | ||||
\(133\) | 0.0856812 | − | 0.148404i | 0.00742950 | − | 0.0128683i | ||||
\(134\) | −6.30457 | − | 2.80698i | −0.544632 | − | 0.242486i | ||||
\(135\) | −3.69669 | − | 1.88356i | −0.318161 | − | 0.162111i | ||||
\(136\) | 5.97435 | − | 9.19970i | 0.512296 | − | 0.788867i | ||||
\(137\) | −4.10145 | + | 3.32129i | −0.350411 | + | 0.283757i | −0.788324 | − | 0.615260i | \(-0.789051\pi\) |
0.437913 | + | 0.899017i | \(0.355718\pi\) | |||||||
\(138\) | −15.5857 | + | 2.46854i | −1.32675 | + | 0.210136i | ||||
\(139\) | 2.26207 | + | 10.6422i | 0.191867 | + | 0.902661i | 0.963731 | + | 0.266874i | \(0.0859909\pi\) |
−0.771865 | + | 0.635787i | \(0.780676\pi\) | |||||||
\(140\) | 1.73340 | + | 0.368445i | 0.146499 | + | 0.0311392i | ||||
\(141\) | −7.46475 | + | 9.21820i | −0.628646 | + | 0.776313i | ||||
\(142\) | −10.9721 | −0.920761 | ||||||||
\(143\) | −7.84359 | + | 9.02652i | −0.655914 | + | 0.754836i | ||||
\(144\) | 2.19313 | 0.182761 | ||||||||
\(145\) | −4.24926 | + | 5.24740i | −0.352882 | + | 0.435773i | ||||
\(146\) | −3.92430 | − | 0.834136i | −0.324778 | − | 0.0690336i | ||||
\(147\) | −1.45008 | − | 6.82210i | −0.119601 | − | 0.562677i | ||||
\(148\) | −7.92321 | + | 1.25491i | −0.651284 | + | 0.103153i | ||||
\(149\) | 15.5069 | − | 12.5573i | 1.27038 | − | 1.02873i | 0.272598 | − | 0.962128i | \(-0.412117\pi\) |
0.997780 | − | 0.0666034i | \(-0.0212162\pi\) | |||||||
\(150\) | 14.3830 | − | 22.1479i | 1.17437 | − | 1.80837i | ||||
\(151\) | −6.35305 | − | 3.23704i | −0.517004 | − | 0.263427i | 0.175962 | − | 0.984397i | \(-0.443696\pi\) |
−0.692966 | + | 0.720970i | \(0.743696\pi\) | |||||||
\(152\) | −1.43192 | − | 0.637533i | −0.116144 | − | 0.0517107i | ||||
\(153\) | 3.75579 | − | 6.50522i | 0.303638 | − | 0.525916i | ||||
\(154\) | −0.960065 | + | 0.623822i | −0.0773642 | + | 0.0502690i | ||||
\(155\) | 26.9159i | 2.16194i | ||||||||
\(156\) | 7.99739 | − | 5.39358i | 0.640304 | − | 0.431832i | ||||
\(157\) | 4.76138 | + | 14.6540i | 0.379999 | + | 1.16952i | 0.940044 | + | 0.341055i | \(0.110784\pi\) |
−0.560044 | + | 0.828463i | \(0.689216\pi\) | |||||||
\(158\) | −8.77159 | − | 0.459700i | −0.697831 | − | 0.0365718i | ||||
\(159\) | −6.85643 | + | 3.05268i | −0.543750 | + | 0.242093i | ||||
\(160\) | −3.32317 | + | 31.6179i | −0.262720 | + | 2.49961i | ||||
\(161\) | 1.03814 | − | 0.528960i | 0.0818171 | − | 0.0416879i | ||||
\(162\) | −2.15930 | + | 0.113164i | −0.169650 | + | 0.00889100i | ||||
\(163\) | −2.21768 | − | 5.77724i | −0.173702 | − | 0.452509i | 0.818898 | − | 0.573939i | \(-0.194585\pi\) |
−0.992600 | + | 0.121430i | \(0.961252\pi\) | |||||||
\(164\) | 3.78446 | − | 3.78446i | 0.295516 | − | 0.295516i | ||||
\(165\) | 2.86436 | + | 13.4589i | 0.222991 | + | 1.04777i | ||||
\(166\) | −7.88211 | − | 4.55074i | −0.611770 | − | 0.353206i | ||||
\(167\) | 9.39875 | + | 7.61096i | 0.727297 | + | 0.588954i | 0.919821 | − | 0.392339i | \(-0.128334\pi\) |
−0.192523 | + | 0.981292i | \(0.561667\pi\) | |||||||
\(168\) | 0.221735 | − | 0.0720460i | 0.0171072 | − | 0.00555847i | ||||
\(169\) | −4.87139 | + | 12.0528i | −0.374723 | + | 0.927137i | ||||
\(170\) | 54.5167 | + | 39.6087i | 4.18124 | + | 3.03785i | ||||
\(171\) | −1.00205 | − | 0.384652i | −0.0766288 | − | 0.0294151i | ||||
\(172\) | 14.9139 | − | 13.4286i | 1.13718 | − | 1.02392i | ||||
\(173\) | −13.0595 | + | 14.5041i | −0.992896 | + | 1.10272i | 0.00181390 | + | 0.999998i | \(0.499423\pi\) |
−0.994710 | + | 0.102724i | \(0.967244\pi\) | |||||||
\(174\) | −0.550491 | + | 3.47566i | −0.0417326 | + | 0.263489i | ||||
\(175\) | −0.504669 | + | 1.88345i | −0.0381494 | + | 0.142376i | ||||
\(176\) | −4.57899 | − | 5.65163i | −0.345154 | − | 0.426008i | ||||
\(177\) | −4.43909 | − | 4.43909i | −0.333662 | − | 0.333662i | ||||
\(178\) | 1.55436 | − | 3.49114i | 0.116504 | − | 0.261672i | ||||
\(179\) | −0.169673 | + | 0.798249i | −0.0126820 | + | 0.0596639i | −0.984034 | − | 0.177983i | \(-0.943043\pi\) |
0.971352 | + | 0.237647i | \(0.0763761\pi\) | |||||||
\(180\) | 0.580920 | − | 11.0846i | 0.0432992 | − | 0.826199i | ||||
\(181\) | 12.9508 | − | 17.8253i | 0.962626 | − | 1.32494i | 0.0169417 | − | 0.999856i | \(-0.494607\pi\) |
0.945685 | − | 0.325085i | \(-0.105393\pi\) | |||||||
\(182\) | −0.766361 | + | 0.980771i | −0.0568064 | + | 0.0726996i | ||||
\(183\) | 6.75122 | + | 2.19360i | 0.499064 | + | 0.162156i | ||||
\(184\) | −5.80442 | − | 8.93802i | −0.427907 | − | 0.658919i | ||||
\(185\) | −1.30036 | − | 12.3721i | −0.0956044 | − | 0.909615i | ||||
\(186\) | 7.01382 | + | 12.1483i | 0.514278 | + | 0.890756i | ||||
\(187\) | −24.6054 | + | 3.90354i | −1.79932 | + | 0.285455i | ||||
\(188\) | −30.6529 | − | 8.21342i | −2.23559 | − | 0.599025i | ||||
\(189\) | 0.149049 | − | 0.0572145i | 0.0108417 | − | 0.00416174i | ||||
\(190\) | 4.37145 | − | 8.57946i | 0.317138 | − | 0.622419i | ||||
\(191\) | −8.03381 | + | 1.70764i | −0.581306 | + | 0.123560i | −0.489174 | − | 0.872186i | \(-0.662702\pi\) |
−0.0921323 | + | 0.995747i | \(0.529368\pi\) | |||||||
\(192\) | 4.95514 | + | 11.1294i | 0.357606 | + | 0.803196i | ||||
\(193\) | 2.39195 | − | 6.23125i | 0.172177 | − | 0.448535i | −0.820155 | − | 0.572142i | \(-0.806113\pi\) |
0.992331 | + | 0.123607i | \(0.0394461\pi\) | |||||||
\(194\) | −8.89738 | + | 27.3833i | −0.638795 | + | 1.96601i | ||||
\(195\) | 7.70368 | + | 12.8229i | 0.551672 | + | 0.918266i | ||||
\(196\) | 15.0958 | − | 10.9677i | 1.07827 | − | 0.783409i | ||||
\(197\) | 5.20974 | − | 1.39595i | 0.371179 | − | 0.0994571i | −0.0684073 | − | 0.997657i | \(-0.521792\pi\) |
0.439586 | + | 0.898200i | \(0.355125\pi\) | |||||||
\(198\) | 4.79997 | + | 5.32817i | 0.341119 | + | 0.378657i | ||||
\(199\) | −5.78613 | + | 3.34062i | −0.410168 | + | 0.236811i | −0.690862 | − | 0.722987i | \(-0.742769\pi\) |
0.280694 | + | 0.959797i | \(0.409435\pi\) | |||||||
\(200\) | 17.6159 | + | 2.79008i | 1.24563 | + | 0.197289i | ||||
\(201\) | −0.167039 | − | 3.18729i | −0.0117820 | − | 0.224814i | ||||
\(202\) | −12.5957 | − | 8.17972i | −0.886228 | − | 0.575523i | ||||
\(203\) | −0.0406461 | − | 0.256629i | −0.00285280 | − | 0.0180118i | ||||
\(204\) | 19.9862 | + | 2.10063i | 1.39931 | + | 0.147074i | ||||
\(205\) | 5.55364 | + | 6.16794i | 0.387883 | + | 0.430788i | ||||
\(206\) | 5.22605 | − | 3.39384i | 0.364116 | − | 0.236460i | ||||
\(207\) | −4.28961 | − | 5.90414i | −0.298149 | − | 0.410366i | ||||
\(208\) | −6.70563 | − | 4.19073i | −0.464952 | − | 0.290575i | ||||
\(209\) | 1.10093 | + | 3.38536i | 0.0761526 | + | 0.234170i | ||||
\(210\) | 0.370692 | + | 1.38344i | 0.0255802 | + | 0.0954666i | ||||
\(211\) | 9.67888 | − | 1.01729i | 0.666322 | − | 0.0700332i | 0.234672 | − | 0.972075i | \(-0.424598\pi\) |
0.431650 | + | 0.902041i | \(0.357932\pi\) | |||||||
\(212\) | −14.9219 | − | 13.4358i | −1.02484 | − | 0.922773i | ||||
\(213\) | −2.30372 | − | 4.52131i | −0.157848 | − | 0.309795i | ||||
\(214\) | 15.1981 | + | 18.7681i | 1.03892 | + | 1.28296i | ||||
\(215\) | 19.5857 | + | 24.1863i | 1.33573 | + | 1.64949i | ||||
\(216\) | −0.662975 | − | 1.30116i | −0.0451098 | − | 0.0885329i | ||||
\(217\) | −0.769709 | − | 0.693049i | −0.0522513 | − | 0.0470472i | ||||
\(218\) | −2.71046 | + | 0.284881i | −0.183576 | + | 0.0192946i | ||||
\(219\) | −0.480227 | − | 1.79223i | −0.0324507 | − | 0.121108i | ||||
\(220\) | −29.7776 | + | 21.6463i | −2.00761 | + | 1.45939i | ||||
\(221\) | −23.9140 | + | 12.7134i | −1.60863 | + | 0.855195i | ||||
\(222\) | −3.81087 | − | 5.24521i | −0.255769 | − | 0.352035i | ||||
\(223\) | 7.97169 | − | 5.17688i | 0.533824 | − | 0.346669i | −0.249408 | − | 0.968398i | \(-0.580236\pi\) |
0.783232 | + | 0.621729i | \(0.213570\pi\) | |||||||
\(224\) | −0.818604 | − | 0.909152i | −0.0546953 | − | 0.0607453i | ||||
\(225\) | 12.1464 | + | 1.27664i | 0.809761 | + | 0.0851093i | ||||
\(226\) | −4.71692 | − | 29.7814i | −0.313765 | − | 1.98103i | ||||
\(227\) | −0.677894 | − | 0.440230i | −0.0449934 | − | 0.0292191i | 0.521946 | − | 0.852978i | \(-0.325206\pi\) |
−0.566940 | + | 0.823759i | \(0.691873\pi\) | |||||||
\(228\) | −0.150287 | − | 2.86766i | −0.00995303 | − | 0.189915i | ||||
\(229\) | −5.89204 | − | 0.933208i | −0.389357 | − | 0.0616681i | −0.0413129 | − | 0.999146i | \(-0.513154\pi\) |
−0.348044 | + | 0.937478i | \(0.613154\pi\) | |||||||
\(230\) | 56.6983 | − | 32.7348i | 3.73858 | − | 2.15847i | ||||
\(231\) | −0.458636 | − | 0.264637i | −0.0301760 | − | 0.0174119i | ||||
\(232\) | −2.29564 | + | 0.615115i | −0.150716 | + | 0.0403843i | ||||
\(233\) | 5.09600 | − | 3.70246i | 0.333850 | − | 0.242556i | −0.408212 | − | 0.912887i | \(-0.633848\pi\) |
0.742062 | + | 0.670331i | \(0.233848\pi\) | |||||||
\(234\) | 6.81842 | + | 3.78007i | 0.445734 | + | 0.247111i | ||||
\(235\) | 15.2075 | − | 46.8039i | 0.992029 | − | 3.05315i | ||||
\(236\) | 6.01897 | − | 15.6800i | 0.391802 | − | 1.02068i | ||||
\(237\) | −1.65226 | − | 3.71105i | −0.107326 | − | 0.241058i | ||||
\(238\) | −2.53642 | + | 0.539132i | −0.164411 | + | 0.0349467i | ||||
\(239\) | 6.57099 | − | 12.8963i | 0.425042 | − | 0.834192i | −0.574831 | − | 0.818272i | \(-0.694932\pi\) |
0.999873 | − | 0.0159202i | \(-0.00506779\pi\) | |||||||
\(240\) | −8.49471 | + | 3.26081i | −0.548331 | + | 0.210485i | ||||
\(241\) | 26.8209 | + | 7.18665i | 1.72769 | + | 0.462933i | 0.979649 | − | 0.200721i | \(-0.0643283\pi\) |
0.748040 | + | 0.663653i | \(0.230995\pi\) | |||||||
\(242\) | 3.70879 | − | 23.4939i | 0.238410 | − | 1.51025i | ||||
\(243\) | −0.500000 | − | 0.866025i | −0.0320750 | − | 0.0555556i | ||||
\(244\) | 1.98515 | + | 18.8875i | 0.127087 | + | 1.20915i | ||||
\(245\) | 15.7600 | + | 24.2682i | 1.00687 | + | 1.55044i | ||||
\(246\) | 4.11385 | + | 1.33667i | 0.262290 | + | 0.0852231i | ||||
\(247\) | 2.32883 | + | 3.09086i | 0.148180 | + | 0.196667i | ||||
\(248\) | −5.56860 | + | 7.66451i | −0.353606 | + | 0.486697i | ||||
\(249\) | 0.220295 | − | 4.20347i | 0.0139606 | − | 0.266384i | ||||
\(250\) | −13.4541 | + | 63.2965i | −0.850912 | + | 4.00322i | ||||
\(251\) | 6.97328 | − | 15.6622i | 0.440150 | − | 0.988592i | −0.548194 | − | 0.836351i | \(-0.684684\pi\) |
0.988343 | − | 0.152241i | \(-0.0486489\pi\) | |||||||
\(252\) | 0.302027 | + | 0.302027i | 0.0190259 | + | 0.0190259i | ||||
\(253\) | −6.25861 | + | 23.3813i | −0.393476 | + | 1.46997i | ||||
\(254\) | 8.78457 | − | 32.7845i | 0.551193 | − | 2.05708i | ||||
\(255\) | −4.87524 | + | 30.7811i | −0.305299 | + | 1.92759i | ||||
\(256\) | 0.364477 | − | 0.404793i | 0.0227798 | − | 0.0252996i | ||||
\(257\) | 0.563137 | − | 0.507051i | 0.0351275 | − | 0.0316290i | −0.651380 | − | 0.758752i | \(-0.725810\pi\) |
0.686507 | + | 0.727123i | \(0.259143\pi\) | |||||||
\(258\) | 15.1424 | + | 5.81262i | 0.942725 | + | 0.361878i | ||||
\(259\) | 0.387286 | + | 0.281380i | 0.0240648 | + | 0.0174841i | ||||
\(260\) | −22.9572 | + | 32.7819i | −1.42374 | + | 2.03304i | ||||
\(261\) | −1.54780 | + | 0.502912i | −0.0958066 | + | 0.0311295i | ||||
\(262\) | 20.6671 | + | 16.7359i | 1.27682 | + | 1.03395i | ||||
\(263\) | −5.05747 | − | 2.91993i | −0.311857 | − | 0.180051i | 0.335900 | − | 0.941898i | \(-0.390959\pi\) |
−0.647757 | + | 0.761847i | \(0.724293\pi\) | |||||||
\(264\) | −1.96884 | + | 4.42513i | −0.121174 | + | 0.272348i | ||||
\(265\) | 22.0184 | − | 22.0184i | 1.35258 | − | 1.35258i | ||||
\(266\) | 0.132786 | + | 0.345920i | 0.00814164 | + | 0.0212097i | ||||
\(267\) | 1.76496 | − | 0.0924974i | 0.108013 | − | 0.00566075i | ||||
\(268\) | 7.60821 | − | 3.87658i | 0.464745 | − | 0.236800i | ||||
\(269\) | −0.801728 | + | 7.62794i | −0.0488822 | + | 0.465083i | 0.942512 | + | 0.334173i | \(0.108457\pi\) |
−0.991394 | + | 0.130911i | \(0.958210\pi\) | |||||||
\(270\) | 8.19541 | − | 3.64883i | 0.498757 | − | 0.222061i | ||||
\(271\) | 26.0740 | + | 1.36648i | 1.58388 | + | 0.0830077i | 0.823823 | − | 0.566847i | \(-0.191837\pi\) |
0.760058 | + | 0.649855i | \(0.225170\pi\) | |||||||
\(272\) | −5.09071 | − | 15.6676i | −0.308670 | − | 0.949987i | ||||
\(273\) | −0.565054 | − | 0.109872i | −0.0341986 | − | 0.00664976i | ||||
\(274\) | − | 11.4115i | − | 0.689394i | ||||||
\(275\) | −22.0704 | − | 33.9664i | −1.33089 | − | 2.04825i | ||||
\(276\) | 9.76232 | − | 16.9088i | 0.587623 | − | 1.01779i | ||||
\(277\) | −4.48345 | − | 1.99616i | −0.269384 | − | 0.119938i | 0.267599 | − | 0.963530i | \(-0.413770\pi\) |
−0.536984 | + | 0.843593i | \(0.680436\pi\) | |||||||
\(278\) | −20.9612 | − | 10.6803i | −1.25717 | − | 0.640560i | ||||
\(279\) | −3.53334 | + | 5.44086i | −0.211535 | + | 0.325736i | ||||
\(280\) | −0.751731 | + | 0.608740i | −0.0449245 | + | 0.0363792i | ||||
\(281\) | 1.16078 | − | 0.183849i | 0.0692463 | − | 0.0109675i | −0.121715 | − | 0.992565i | \(-0.538839\pi\) |
0.190961 | + | 0.981598i | \(0.438839\pi\) | |||||||
\(282\) | −5.33250 | − | 25.0874i | −0.317546 | − | 1.49393i | ||||
\(283\) | 7.02236 | + | 1.49265i | 0.417436 | + | 0.0887287i | 0.411841 | − | 0.911256i | \(-0.364886\pi\) |
0.00559458 | + | 0.999984i | \(0.498219\pi\) | |||||||
\(284\) | 8.54356 | − | 10.5504i | 0.506967 | − | 0.626052i | ||||
\(285\) | 4.45319 | 0.263784 | ||||||||
\(286\) | −4.49490 | − | 25.4632i | −0.265789 | − | 1.50567i | ||||
\(287\) | −0.319383 | −0.0188526 | ||||||||
\(288\) | −4.82234 | + | 5.95510i | −0.284159 | + | 0.350907i | ||||
\(289\) | −38.5624 | − | 8.19668i | −2.26837 | − | 0.482158i | ||||
\(290\) | −3.03549 | − | 14.2809i | −0.178250 | − | 0.838601i | ||||
\(291\) | −13.1520 | + | 2.08307i | −0.770984 | + | 0.122112i | ||||
\(292\) | 3.85777 | − | 3.12396i | 0.225759 | − | 0.182816i | ||||
\(293\) | −10.0057 | + | 15.4075i | −0.584541 | + | 0.900114i | −0.999955 | − | 0.00951848i | \(-0.996970\pi\) |
0.415414 | + | 0.909633i | \(0.363637\pi\) | |||||||
\(294\) | 13.4370 | + | 6.84650i | 0.783662 | + | 0.399296i | ||||
\(295\) | 23.7942 | + | 10.5939i | 1.38535 | + | 0.616799i | ||||
\(296\) | 2.18936 | − | 3.79209i | 0.127254 | − | 0.220411i | ||||
\(297\) | −1.18778 | + | 3.09664i | −0.0689221 | + | 0.179685i | ||||
\(298\) | 43.1451i | 2.49933i | ||||||||
\(299\) | 1.83386 | + | 26.2490i | 0.106055 | + | 1.51802i | ||||
\(300\) | 10.0972 | + | 31.0759i | 0.582961 | + | 1.79417i | ||||
\(301\) | −1.19596 | − | 0.0626775i | −0.0689339 | − | 0.00361267i | ||||
\(302\) | 14.0845 | − | 6.27080i | 0.810469 | − | 0.360844i | ||||
\(303\) | 0.726033 | − | 6.90774i | 0.0417095 | − | 0.396839i | ||||
\(304\) | −2.09741 | + | 1.06869i | −0.120295 | + | 0.0612933i | ||||
\(305\) | −29.4112 | + | 1.54137i | −1.68408 | + | 0.0882589i | ||||
\(306\) | 5.82061 | + | 15.1632i | 0.332742 | + | 0.866823i | ||||
\(307\) | −0.0998532 | + | 0.0998532i | −0.00569892 | + | 0.00569892i | −0.709951 | − | 0.704252i | \(-0.751283\pi\) |
0.704252 | + | 0.709951i | \(0.251283\pi\) | |||||||
\(308\) | 0.147719 | − | 1.40891i | 0.00841708 | − | 0.0802801i | ||||
\(309\) | 2.49577 | + | 1.44093i | 0.141979 | + | 0.0819719i | ||||
\(310\) | −45.2292 | − | 36.6259i | −2.56885 | − | 2.08021i | ||||
\(311\) | −10.5804 | + | 3.43778i | −0.599960 | + | 0.194939i | −0.593222 | − | 0.805039i | \(-0.702145\pi\) |
−0.00673724 | + | 0.999977i | \(0.502145\pi\) | |||||||
\(312\) | −0.459229 | + | 5.24523i | −0.0259987 | + | 0.296952i | ||||
\(313\) | −13.7541 | − | 9.99297i | −0.777431 | − | 0.564836i | 0.126776 | − | 0.991931i | \(-0.459537\pi\) |
−0.904207 | + | 0.427095i | \(0.859537\pi\) | |||||||
\(314\) | −31.1035 | − | 11.9395i | −1.75527 | − | 0.673787i | ||||
\(315\) | −0.492246 | + | 0.443221i | −0.0277349 | + | 0.0249727i | ||||
\(316\) | 7.27212 | − | 8.07651i | 0.409089 | − | 0.454339i | ||||
\(317\) | −2.31569 | + | 14.6207i | −0.130062 | + | 0.821181i | 0.833269 | + | 0.552867i | \(0.186466\pi\) |
−0.963332 | + | 0.268314i | \(0.913534\pi\) | |||||||
\(318\) | 4.20022 | − | 15.6754i | 0.235537 | − | 0.879035i | ||||
\(319\) | 4.52761 | + | 2.93862i | 0.253498 | + | 0.164531i | ||||
\(320\) | −35.7404 | − | 35.7404i | −1.99795 | − | 1.99795i | ||||
\(321\) | −4.54279 | + | 10.2033i | −0.253554 | + | 0.569491i | ||||
\(322\) | −0.523797 | + | 2.46427i | −0.0291901 | + | 0.137328i | ||||
\(323\) | −0.421959 | + | 8.05145i | −0.0234784 | + | 0.447995i | ||||
\(324\) | 1.57254 | − | 2.16442i | 0.0873635 | − | 0.120246i | ||||
\(325\) | −34.6989 | − | 27.1133i | −1.92475 | − | 1.50397i | ||||
\(326\) | 12.7257 | + | 4.13485i | 0.704814 | + | 0.229008i | ||||
\(327\) | −0.686483 | − | 1.05709i | −0.0379626 | − | 0.0584572i | ||||
\(328\) | 0.305365 | + | 2.90536i | 0.0168610 | + | 0.160421i | ||||
\(329\) | 0.946870 | + | 1.64003i | 0.0522027 | + | 0.0904176i | ||||
\(330\) | −26.5139 | − | 13.5010i | −1.45954 | − | 0.743206i | ||||
\(331\) | −8.12453 | − | 2.17696i | −0.446564 | − | 0.119657i | 0.0285270 | − | 0.999593i | \(-0.490918\pi\) |
−0.475091 | + | 0.879936i | \(0.657585\pi\) | |||||||
\(332\) | 10.5133 | − | 4.03568i | 0.576993 | − | 0.221487i | ||||
\(333\) | 1.36127 | − | 2.67164i | 0.0745971 | − | 0.146405i | ||||
\(334\) | −25.5788 | + | 5.43694i | −1.39961 | + | 0.297496i | ||||
\(335\) | 5.38596 | + | 12.0971i | 0.294266 | + | 0.660933i | ||||
\(336\) | 0.125479 | − | 0.326884i | 0.00684543 | − | 0.0178330i | ||||
\(337\) | −0.845373 | + | 2.60179i | −0.0460504 | + | 0.141729i | −0.971438 | − | 0.237294i | \(-0.923740\pi\) |
0.925388 | + | 0.379022i | \(0.123740\pi\) | |||||||
\(338\) | −13.6246 | − | 24.5867i | −0.741082 | − | 1.33734i | ||||
\(339\) | 11.2817 | − | 8.19665i | 0.612739 | − | 0.445181i | ||||
\(340\) | −80.5363 | + | 21.5796i | −4.36769 | + | 1.17032i | ||||
\(341\) | 21.3981 | − | 2.25455i | 1.15877 | − | 0.122091i | ||||
\(342\) | 2.00991 | − | 1.16042i | 0.108684 | − | 0.0627485i | ||||
\(343\) | −2.20360 | − | 0.349016i | −0.118983 | − | 0.0188451i | ||||
\(344\) | 0.573305 | + | 10.9393i | 0.0309105 | + | 0.589808i | ||||
\(345\) | 25.3935 | + | 16.4907i | 1.36714 | + | 0.887832i | ||||
\(346\) | −6.60171 | − | 41.6816i | −0.354910 | − | 2.24081i | ||||
\(347\) | 6.42958 | + | 0.675776i | 0.345158 | + | 0.0362775i | 0.275521 | − | 0.961295i | \(-0.411149\pi\) |
0.0696362 | + | 0.997572i | \(0.477816\pi\) | |||||||
\(348\) | −2.91343 | − | 3.23569i | −0.156176 | − | 0.173451i | ||||
\(349\) | 15.8100 | − | 10.2671i | 0.846291 | − | 0.549588i | −0.0470884 | − | 0.998891i | \(-0.514994\pi\) |
0.893379 | + | 0.449303i | \(0.148328\pi\) | |||||||
\(350\) | −2.47821 | − | 3.41096i | −0.132466 | − | 0.182323i | ||||
\(351\) | −0.126057 | + | 3.60335i | −0.00672845 | + | 0.192332i | ||||
\(352\) | 25.4146 | − | 0.00648162i | 1.35460 | − | 0.000345471i | ||||
\(353\) | 3.62089 | + | 13.5133i | 0.192720 | + | 0.719242i | 0.992845 | + | 0.119409i | \(0.0380999\pi\) |
−0.800125 | + | 0.599834i | \(0.795233\pi\) | |||||||
\(354\) | 13.4999 | − | 1.41890i | 0.717513 | − | 0.0754136i | ||||
\(355\) | 15.6455 | + | 14.0872i | 0.830376 | + | 0.747674i | ||||
\(356\) | 2.14664 | + | 4.21303i | 0.113772 | + | 0.223290i | ||||
\(357\) | −0.754710 | − | 0.931989i | −0.0399435 | − | 0.0493261i | ||||
\(358\) | −1.11049 | − | 1.37134i | −0.0586911 | − | 0.0724775i | ||||
\(359\) | 1.61620 | + | 3.17198i | 0.0853000 | + | 0.167411i | 0.929716 | − | 0.368277i | \(-0.120052\pi\) |
−0.844416 | + | 0.535688i | \(0.820052\pi\) | |||||||
\(360\) | 4.50253 | + | 4.05409i | 0.237304 | + | 0.213670i | ||||
\(361\) | −17.7502 | + | 1.86562i | −0.934219 | + | 0.0981904i | ||||
\(362\) | 12.3306 | + | 46.0183i | 0.648080 | + | 2.41867i | ||||
\(363\) | 10.4599 | − | 3.40452i | 0.549002 | − | 0.178691i | ||||
\(364\) | −0.346340 | − | 1.50059i | −0.0181532 | − | 0.0786524i | ||||
\(365\) | 4.52482 | + | 6.22788i | 0.236840 | + | 0.325982i | ||||
\(366\) | −12.8729 | + | 8.35974i | −0.672875 | + | 0.436970i | ||||
\(367\) | −0.198326 | − | 0.220263i | −0.0103525 | − | 0.0114976i | 0.737946 | − | 0.674859i | \(-0.235796\pi\) |
−0.748299 | + | 0.663362i | \(0.769129\pi\) | |||||||
\(368\) | −15.9176 | − | 1.67301i | −0.829763 | − | 0.0872116i | ||||
\(369\) | 0.312944 | + | 1.97585i | 0.0162912 | + | 0.102859i | ||||
\(370\) | 22.5595 | + | 14.6503i | 1.17281 | + | 0.761632i | ||||
\(371\) | 0.0627112 | + | 1.19660i | 0.00325580 | + | 0.0621244i | ||||
\(372\) | −17.1427 | − | 2.71514i | −0.888810 | − | 0.140774i | ||||
\(373\) | 12.6740 | − | 7.31735i | 0.656236 | − | 0.378878i | −0.134605 | − | 0.990899i | \(-0.542977\pi\) |
0.790841 | + | 0.612021i | \(0.209643\pi\) | |||||||
\(374\) | 26.9224 | − | 46.6585i | 1.39212 | − | 2.41265i | ||||
\(375\) | −28.9076 | + | 7.74575i | −1.49278 | + | 0.399989i | ||||
\(376\) | 14.0137 | − | 10.1815i | 0.722700 | − | 0.525072i | ||||
\(377\) | 5.69349 | + | 1.41992i | 0.293230 | + | 0.0731298i | ||||
\(378\) | −0.106676 | + | 0.328315i | −0.00548683 | + | 0.0168867i | ||||
\(379\) | 3.70708 | − | 9.65727i | 0.190420 | − | 0.496061i | −0.804820 | − | 0.593519i | \(-0.797738\pi\) |
0.995240 | + | 0.0974586i | \(0.0310713\pi\) | |||||||
\(380\) | 4.84583 | + | 10.8839i | 0.248586 | + | 0.558333i | ||||
\(381\) | 15.3540 | − | 3.26359i | 0.786607 | − | 0.167199i | ||||
\(382\) | 8.06254 | − | 15.8236i | 0.412515 | − | 0.809607i | ||||
\(383\) | −20.6832 | + | 7.93952i | −1.05686 | + | 0.405691i | −0.823864 | − | 0.566787i | \(-0.808186\pi\) |
−0.232996 | + | 0.972478i | \(0.574853\pi\) | |||||||
\(384\) | −10.6412 | − | 2.85129i | −0.543029 | − | 0.145504i | ||||
\(385\) | 2.16992 | + | 0.343114i | 0.110589 | + | 0.0174867i | ||||
\(386\) | 7.21608 | + | 12.4986i | 0.367289 | + | 0.636163i | ||||
\(387\) | 0.784097 | + | 7.46018i | 0.0398579 | + | 0.379222i | ||||
\(388\) | −19.4028 | − | 29.8777i | −0.985029 | − | 1.51681i | ||||
\(389\) | −5.19590 | − | 1.68825i | −0.263442 | − | 0.0855976i | 0.174318 | − | 0.984689i | \(-0.444228\pi\) |
−0.437760 | + | 0.899092i | \(0.644228\pi\) | |||||||
\(390\) | −32.0303 | − | 4.50361i | −1.62192 | − | 0.228049i | ||||
\(391\) | −32.2218 | + | 44.3494i | −1.62952 | + | 2.24285i | ||||
\(392\) | −0.533046 | + | 10.1711i | −0.0269229 | + | 0.513719i | ||||
\(393\) | −2.55711 | + | 12.0302i | −0.128989 | + | 0.606845i | ||||
\(394\) | −4.74345 | + | 10.6540i | −0.238971 | + | 0.536738i | ||||
\(395\) | 11.9175 | + | 11.9175i | 0.599632 | + | 0.599632i | ||||
\(396\) | −8.86092 | + | 0.466647i | −0.445278 | + | 0.0234499i | ||||
\(397\) | −3.22333 | + | 12.0296i | −0.161774 | + | 0.603751i | 0.836655 | + | 0.547730i | \(0.184508\pi\) |
−0.998430 | + | 0.0560205i | \(0.982159\pi\) | |||||||
\(398\) | 2.25995 | − | 14.2687i | 0.113281 | − | 0.715227i | ||||
\(399\) | −0.114664 | + | 0.127347i | −0.00574037 | + | 0.00637533i | ||||
\(400\) | 19.9054 | − | 17.9229i | 0.995272 | − | 0.896147i | ||||
\(401\) | −4.60828 | − | 1.76895i | −0.230127 | − | 0.0883373i | 0.240572 | − | 0.970631i | \(-0.422665\pi\) |
−0.470699 | + | 0.882294i | \(0.655998\pi\) | |||||||
\(402\) | 5.58320 | + | 4.05643i | 0.278465 | + | 0.202316i | ||||
\(403\) | 21.2000 | − | 9.88412i | 1.05605 | − | 0.492363i | ||||
\(404\) | 17.6731 | − | 5.74233i | 0.879268 | − | 0.285691i | ||||
\(405\) | 3.22430 | + | 2.61098i | 0.160217 | + | 0.129741i | ||||
\(406\) | 0.486547 | + | 0.280908i | 0.0241469 | + | 0.0139412i | ||||
\(407\) | −9.72689 | + | 2.07011i | −0.482144 | + | 0.102611i | ||||
\(408\) | −7.75652 | + | 7.75652i | −0.384005 | + | 0.384005i | ||||
\(409\) | 2.80853 | + | 7.31647i | 0.138873 | + | 0.361776i | 0.985325 | − | 0.170689i | \(-0.0545992\pi\) |
−0.846452 | + | 0.532465i | \(0.821266\pi\) | |||||||
\(410\) | −17.9217 | + | 0.939236i | −0.885089 | + | 0.0463856i | ||||
\(411\) | 4.70236 | − | 2.39597i | 0.231950 | − | 0.118185i | ||||
\(412\) | −0.805921 | + | 7.66783i | −0.0397049 | + | 0.377767i | ||||
\(413\) | −0.915621 | + | 0.407661i | −0.0450548 | + | 0.0200597i | ||||
\(414\) | 15.7584 | + | 0.825862i | 0.774482 | + | 0.0405889i | ||||
\(415\) | 5.39658 | + | 16.6090i | 0.264908 | + | 0.815302i | ||||
\(416\) | 26.1239 | − | 8.99334i | 1.28083 | − | 0.440935i | ||||
\(417\) | − | 10.8800i | − | 0.532794i | ||||||
\(418\) | −7.18683 | − | 2.75666i | −0.351519 | − | 0.134833i | ||||
\(419\) | −17.4054 | + | 30.1470i | −0.850307 | + | 1.47278i | 0.0306238 | + | 0.999531i | \(0.490251\pi\) |
−0.880931 | + | 0.473245i | \(0.843083\pi\) | |||||||
\(420\) | −1.61891 | − | 0.720786i | −0.0789948 | − | 0.0351708i | ||||
\(421\) | 1.07640 | + | 0.548454i | 0.0524606 | + | 0.0267300i | 0.480024 | − | 0.877255i | \(-0.340628\pi\) |
−0.427563 | + | 0.903985i | \(0.640628\pi\) | |||||||
\(422\) | −11.4611 | + | 17.6486i | −0.557919 | + | 0.859121i | ||||
\(423\) | 9.21820 | − | 7.46475i | 0.448204 | − | 0.362949i | ||||
\(424\) | 10.8253 | − | 1.71455i | 0.525721 | − | 0.0832661i | ||||
\(425\) | −19.0741 | − | 89.7366i | −0.925230 | − | 4.35286i | ||||
\(426\) | 10.7324 | + | 2.28123i | 0.519985 | + | 0.110526i | ||||
\(427\) | 0.713221 | − | 0.880755i | 0.0345152 | − | 0.0426227i | ||||
\(428\) | −29.8809 | −1.44435 | ||||||||
\(429\) | 9.54891 | − | 7.19850i | 0.461026 | − | 0.347547i | ||||
\(430\) | −67.2938 | −3.24520 | ||||||||
\(431\) | 16.1272 | − | 19.9155i | 0.776821 | − | 0.959294i | −0.223059 | − | 0.974805i | \(-0.571604\pi\) |
0.999880 | + | 0.0155113i | \(0.00493758\pi\) | |||||||
\(432\) | −2.14521 | − | 0.455978i | −0.103211 | − | 0.0219382i | ||||
\(433\) | 3.46588 | + | 16.3057i | 0.166560 | + | 0.783601i | 0.979530 | + | 0.201297i | \(0.0645155\pi\) |
−0.812971 | + | 0.582304i | \(0.802151\pi\) | |||||||
\(434\) | 2.21198 | − | 0.350343i | 0.106178 | − | 0.0168170i | ||||
\(435\) | 5.24740 | − | 4.24926i | 0.251594 | − | 0.203737i | ||||
\(436\) | 1.83660 | − | 2.82811i | 0.0879570 | − | 0.135442i | ||||
\(437\) | 6.97941 | + | 3.55619i | 0.333870 | + | 0.170115i | ||||
\(438\) | 3.66512 | + | 1.63182i | 0.175126 | + | 0.0779712i | ||||
\(439\) | 7.51843 | − | 13.0223i | 0.358835 | − | 0.621520i | −0.628932 | − | 0.777461i | \(-0.716507\pi\) |
0.987766 | + | 0.155940i | \(0.0498408\pi\) | |||||||
\(440\) | 1.04655 | − | 20.0673i | 0.0498924 | − | 0.956672i | ||||
\(441\) | 6.97451i | 0.332120i | ||||||||
\(442\) | 11.1776 | − | 57.4847i | 0.531666 | − | 2.73427i | ||||
\(443\) | −4.98358 | − | 15.3379i | −0.236777 | − | 0.728724i | −0.996881 | − | 0.0789227i | \(-0.974852\pi\) |
0.760104 | − | 0.649802i | \(-0.225148\pi\) | |||||||
\(444\) | 8.01098 | + | 0.419838i | 0.380184 | + | 0.0199246i | ||||
\(445\) | −6.69872 | + | 2.98246i | −0.317550 | + | 0.141382i | ||||
\(446\) | −2.14833 | + | 20.4400i | −0.101727 | + | 0.967863i | ||||
\(447\) | −17.7789 | + | 9.05879i | −0.840912 | + | 0.428466i | ||||
\(448\) | 1.94233 | − | 0.101793i | 0.0917666 | − | 0.00480928i | ||||
\(449\) | −10.9479 | − | 28.5202i | −0.516662 | − | 1.34595i | −0.905383 | − | 0.424595i | \(-0.860417\pi\) |
0.388722 | − | 0.921355i | \(-0.372917\pi\) | |||||||
\(450\) | −18.6735 | + | 18.6735i | −0.880279 | + | 0.880279i | ||||
\(451\) | 4.43832 | − | 4.93178i | 0.208992 | − | 0.232229i | ||||
\(452\) | 32.3097 | + | 18.6540i | 1.51972 | + | 0.877410i | ||||
\(453\) | 5.54121 | + | 4.48718i | 0.260349 | + | 0.210826i | ||||
\(454\) | 1.66221 | − | 0.540083i | 0.0780112 | − | 0.0253474i | ||||
\(455\) | 2.35200 | − | 0.414569i | 0.110263 | − | 0.0194353i | ||||
\(456\) | 1.26808 | + | 0.921315i | 0.0593833 | + | 0.0431445i | ||||
\(457\) | 6.82907 | + | 2.62143i | 0.319450 | + | 0.122625i | 0.512809 | − | 0.858503i | \(-0.328605\pi\) |
−0.193359 | + | 0.981128i | \(0.561938\pi\) | |||||||
\(458\) | 9.58578 | − | 8.63107i | 0.447914 | − | 0.403304i | ||||
\(459\) | −5.02623 | + | 5.58219i | −0.234604 | + | 0.260554i | ||||
\(460\) | −12.6721 | + | 80.0084i | −0.590839 | + | 3.73041i | ||||
\(461\) | −1.61378 | + | 6.02270i | −0.0751611 | + | 0.280505i | −0.993270 | − | 0.115824i | \(-0.963049\pi\) |
0.918109 | + | 0.396329i | \(0.129716\pi\) | |||||||
\(462\) | 1.06879 | − | 0.410581i | 0.0497244 | − | 0.0191020i | ||||
\(463\) | 2.33344 | + | 2.33344i | 0.108444 | + | 0.108444i | 0.759247 | − | 0.650803i | \(-0.225567\pi\) |
−0.650803 | + | 0.759247i | \(0.725567\pi\) | |||||||
\(464\) | −1.45173 | + | 3.26065i | −0.0673951 | + | 0.151372i | ||||
\(465\) | 5.59613 | − | 26.3277i | 0.259514 | − | 1.22092i | ||||
\(466\) | −0.712820 | + | 13.6014i | −0.0330208 | + | 0.630073i | ||||
\(467\) | −14.1814 | + | 19.5190i | −0.656235 | + | 0.903230i | −0.999350 | − | 0.0360634i | \(-0.988518\pi\) |
0.343114 | + | 0.939294i | \(0.388518\pi\) | |||||||
\(468\) | −8.94402 | + | 3.61297i | −0.413437 | + | 0.167009i | ||||
\(469\) | −0.484619 | − | 0.157462i | −0.0223776 | − | 0.00727094i | ||||
\(470\) | 57.9553 | + | 89.2433i | 2.67328 | + | 4.11649i | ||||
\(471\) | −1.61059 | − | 15.3237i | −0.0742120 | − | 0.706080i | ||||
\(472\) | 4.58384 | + | 7.93945i | 0.210988 | + | 0.365443i | ||||
\(473\) | 17.5876 | − | 17.5965i | 0.808677 | − | 0.809089i | ||||
\(474\) | 8.48434 | + | 2.27337i | 0.389699 | + | 0.104419i | ||||
\(475\) | −12.2384 | + | 4.69788i | −0.561536 | + | 0.215553i | ||||
\(476\) | 1.45660 | − | 2.85873i | 0.0667630 | − | 0.131030i | ||||
\(477\) | 7.34129 | − | 1.56044i | 0.336134 | − | 0.0714476i | ||||
\(478\) | 12.7293 | + | 28.5905i | 0.582226 | + | 1.30770i | ||||
\(479\) | 8.44601 | − | 22.0026i | 0.385908 | − | 1.00532i | −0.593750 | − | 0.804650i | \(-0.702353\pi\) |
0.979658 | − | 0.200675i | \(-0.0643134\pi\) | |||||||
\(480\) | 9.82429 | − | 30.2360i | 0.448415 | − | 1.38008i | ||||
\(481\) | −9.26724 | + | 5.56753i | −0.422550 | + | 0.253858i | ||||
\(482\) | −48.5731 | + | 35.2904i | −2.21244 | + | 1.60744i | ||||
\(483\) | −1.12543 | + | 0.301559i | −0.0512090 | + | 0.0137214i | ||||
\(484\) | 19.7031 | + | 21.8600i | 0.895593 | + | 0.993637i | ||||
\(485\) | 47.8448 | − | 27.6232i | 2.17252 | − | 1.25431i | ||||
\(486\) | 2.13564 | + | 0.338252i | 0.0968746 | + | 0.0153434i | ||||
\(487\) | −1.13302 | − | 21.6193i | −0.0513420 | − | 0.979665i | −0.895915 | − | 0.444225i | \(-0.853479\pi\) |
0.844573 | − | 0.535440i | \(-0.179854\pi\) | |||||||
\(488\) | −8.69396 | − | 5.64593i | −0.393557 | − | 0.255579i | ||||
\(489\) | 0.968058 | + | 6.11208i | 0.0437771 | + | 0.276398i | ||||
\(490\) | −62.2255 | − | 6.54016i | −2.81106 | − | 0.295455i | ||||
\(491\) | 15.9908 | + | 17.7596i | 0.721656 | + | 0.801480i | 0.986665 | − | 0.162766i | \(-0.0520415\pi\) |
−0.265009 | + | 0.964246i | \(0.585375\pi\) | |||||||
\(492\) | −4.48859 | + | 2.91492i | −0.202361 | + | 0.131415i | ||||
\(493\) | 7.18554 | + | 9.89005i | 0.323621 | + | 0.445425i | ||||
\(494\) | −8.36282 | − | 0.292560i | −0.376261 | − | 0.0131629i | ||||
\(495\) | −0.00350937 | − | 13.7603i | −0.000157735 | − | 0.618481i | ||||
\(496\) | 3.68245 | + | 13.7431i | 0.165347 | + | 0.617083i | ||||
\(497\) | −0.805701 | + | 0.0846826i | −0.0361406 | + | 0.00379854i | ||||
\(498\) | 6.76372 | + | 6.09008i | 0.303089 | + | 0.272903i | ||||
\(499\) | 16.1543 | + | 31.7047i | 0.723167 | + | 1.41930i | 0.900372 | + | 0.435122i | \(0.143295\pi\) |
−0.177204 | + | 0.984174i | \(0.556705\pi\) | |||||||
\(500\) | −50.3876 | − | 62.2235i | −2.25340 | − | 2.78272i | ||||
\(501\) | −7.61096 | − | 9.39875i | −0.340033 | − | 0.419905i | ||||
\(502\) | 16.8298 | + | 33.0303i | 0.751150 | + | 1.47422i | ||||
\(503\) | −6.11799 | − | 5.50866i | −0.272788 | − | 0.245619i | 0.521370 | − | 0.853331i | \(-0.325421\pi\) |
−0.794158 | + | 0.607711i | \(0.792088\pi\) | |||||||
\(504\) | −0.231869 | + | 0.0243704i | −0.0103282 | + | 0.00108554i | ||||
\(505\) | 7.45848 | + | 27.8354i | 0.331898 | + | 1.23866i | ||||
\(506\) | −30.7733 | − | 42.3332i | −1.36804 | − | 1.88194i | ||||
\(507\) | 7.27086 | − | 10.7766i | 0.322910 | − | 0.478605i | ||||
\(508\) | 24.6842 | + | 33.9749i | 1.09518 | + | 1.50739i | ||||
\(509\) | 22.6737 | − | 14.7245i | 1.00500 | − | 0.652651i | 0.0664434 | − | 0.997790i | \(-0.478835\pi\) |
0.938552 | + | 0.345139i | \(0.112168\pi\) | |||||||
\(510\) | −45.0903 | − | 50.0778i | −1.99663 | − | 2.21748i | ||||
\(511\) | −0.294606 | − | 0.0309643i | −0.0130326 | − | 0.00136978i | ||||
\(512\) | 3.63098 | + | 22.9251i | 0.160468 | + | 1.01316i | ||||
\(513\) | 0.900181 | + | 0.584585i | 0.0397440 | + | 0.0258100i | ||||
\(514\) | 0.0857530 | + | 1.63626i | 0.00378240 | + | 0.0721725i | ||||
\(515\) | −11.8094 | − | 1.87042i | −0.520382 | − | 0.0824205i | ||||
\(516\) | −17.3800 | + | 10.0343i | −0.765112 | + | 0.441737i | ||||
\(517\) | −38.4829 | − | 8.16954i | −1.69248 | − | 0.359296i | ||||
\(518\) | −0.999829 | + | 0.267903i | −0.0439300 | + | 0.0117710i | ||||
\(519\) | 15.7897 | − | 11.4719i | 0.693090 | − | 0.503560i | ||||
\(520\) | −6.02002 | − | 20.9993i | −0.263995 | − | 0.920879i | ||||
\(521\) | −11.2725 | + | 34.6933i | −0.493859 | + | 1.51994i | 0.324868 | + | 0.945759i | \(0.394680\pi\) |
−0.818727 | + | 0.574183i | \(0.805320\pi\) | |||||||
\(522\) | 1.26109 | − | 3.28526i | 0.0551965 | − | 0.143792i | ||||
\(523\) | −5.87621 | − | 13.1982i | −0.256949 | − | 0.577116i | 0.738301 | − | 0.674471i | \(-0.235628\pi\) |
−0.995250 | + | 0.0973551i | \(0.968962\pi\) | |||||||
\(524\) | −32.1854 | + | 6.84121i | −1.40602 | + | 0.298860i | ||||
\(525\) | 0.885232 | − | 1.73737i | 0.0386347 | − | 0.0758249i | ||||
\(526\) | 11.7886 | − | 4.52522i | 0.514007 | − | 0.197309i | ||||
\(527\) | 47.0708 | + | 12.6126i | 2.05044 | + | 0.549413i | ||||
\(528\) | 3.30389 | + | 6.48015i | 0.143783 | + | 0.282013i | ||||
\(529\) | 15.1298 | + | 26.2056i | 0.657818 | + | 1.13937i | ||||
\(530\) | 7.03790 | + | 66.9611i | 0.305707 | + | 2.90860i | ||||
\(531\) | 3.41915 | + | 5.26502i | 0.148378 | + | 0.228483i | ||||
\(532\) | −0.436019 | − | 0.141671i | −0.0189038 | − | 0.00614223i | ||||
\(533\) | 2.81869 | − | 6.63927i | 0.122091 | − | 0.287579i | ||||
\(534\) | −2.24624 | + | 3.09168i | −0.0972043 | + | 0.133790i | ||||
\(535\) | 2.42517 | − | 46.2750i | 0.104849 | − | 2.00064i | ||||
\(536\) | −0.969052 | + | 4.55903i | −0.0418567 | + | 0.196920i | ||||
\(537\) | 0.331931 | − | 0.745528i | 0.0143239 | − | 0.0321719i | ||||
\(538\) | −11.7270 | − | 11.7270i | −0.505586 | − | 0.505586i | ||||
\(539\) | 17.9731 | − | 14.5619i | 0.774156 | − | 0.627226i | ||||
\(540\) | −2.87285 | + | 10.7216i | −0.123628 | + | 0.461385i | ||||
\(541\) | 2.22190 | − | 14.0285i | 0.0955269 | − | 0.603133i | −0.892761 | − | 0.450531i | \(-0.851235\pi\) |
0.988288 | − | 0.152602i | \(-0.0487653\pi\) | |||||||
\(542\) | −37.7765 | + | 41.9551i | −1.62264 | + | 1.80212i | ||||
\(543\) | −16.3739 | + | 14.7431i | −0.702671 | + | 0.632688i | ||||
\(544\) | 53.7365 | + | 20.6275i | 2.30393 | + | 0.884397i | ||||
\(545\) | 4.23069 | + | 3.07377i | 0.181223 | + | 0.131666i | ||||
\(546\) | 0.953528 | − | 0.800003i | 0.0408072 | − | 0.0342370i | ||||
\(547\) | 14.1755 | − | 4.60590i | 0.606100 | − | 0.196934i | 0.0101409 | − | 0.999949i | \(-0.496772\pi\) |
0.595959 | + | 0.803015i | \(0.296772\pi\) | |||||||
\(548\) | 10.9729 | + | 8.88568i | 0.468739 | + | 0.379578i | ||||
\(549\) | −6.14761 | − | 3.54932i | −0.262374 | − | 0.151481i | ||||
\(550\) | 87.1092 | + | 9.13309i | 3.71435 | + | 0.389436i | ||||
\(551\) | 1.23519 | − | 1.23519i | 0.0526208 | − | 0.0526208i | ||||
\(552\) | 3.81926 | + | 9.94951i | 0.162558 | + | 0.423479i | ||||
\(553\) | −0.647660 | + | 0.0339424i | −0.0275413 | + | 0.00144338i | ||||
\(554\) | 9.45520 | − | 4.81767i | 0.401713 | − | 0.204683i | ||||
\(555\) | −1.30036 | + | 12.3721i | −0.0551972 | + | 0.525167i | ||||
\(556\) | 26.5914 | − | 11.8393i | 1.12773 | − | 0.502097i | ||||
\(557\) | 40.0130 | + | 2.09699i | 1.69541 | + | 0.0888525i | 0.875369 | − | 0.483456i | \(-0.160619\pi\) |
0.820038 | + | 0.572309i | \(0.193952\pi\) | |||||||
\(558\) | −4.33478 | − | 13.3411i | −0.183506 | − | 0.564773i | ||||
\(559\) | 11.8578 | − | 24.3082i | 0.501532 | − | 1.02813i | ||||
\(560\) | 1.45269i | 0.0613875i | ||||||||
\(561\) | 24.8793 | + | 1.29751i | 1.05040 | + | 0.0547807i | ||||
\(562\) | −1.27060 | + | 2.20074i | −0.0535969 | + | 0.0928326i | ||||
\(563\) | −29.6357 | − | 13.1946i | −1.24899 | − | 0.556088i | −0.327637 | − | 0.944804i | \(-0.606252\pi\) |
−0.921358 | + | 0.388716i | \(0.872919\pi\) | |||||||
\(564\) | 28.2754 | + | 14.4070i | 1.19061 | + | 0.606646i | ||||
\(565\) | −31.5107 | + | 48.5223i | −1.32567 | + | 2.04135i | ||||
\(566\) | −12.0639 | + | 9.76918i | −0.507085 | + | 0.410629i | ||||
\(567\) | −0.157687 | + | 0.0249752i | −0.00662224 | + | 0.00104886i | ||||
\(568\) | 1.54068 | + | 7.24833i | 0.0646455 | + | 0.304133i | ||||
\(569\) | −1.07568 | − | 0.228643i | −0.0450948 | − | 0.00958520i | 0.185309 | − | 0.982680i | \(-0.440671\pi\) |
−0.230404 | + | 0.973095i | \(0.574005\pi\) | |||||||
\(570\) | −6.05969 | + | 7.48310i | −0.253813 | + | 0.313433i | ||||
\(571\) | 5.42466 | 0.227015 | 0.113508 | − | 0.993537i | \(-0.463791\pi\) | ||||
0.113508 | + | 0.993537i | \(0.463791\pi\) | |||||||
\(572\) | 27.9845 | + | 15.5050i | 1.17009 | + | 0.648298i | ||||
\(573\) | 8.21329 | 0.343115 | ||||||||
\(574\) | 0.434601 | − | 0.536688i | 0.0181399 | − | 0.0224009i | ||||
\(575\) | −87.1841 | − | 18.5316i | −3.63583 | − | 0.772819i | ||||
\(576\) | −2.53292 | − | 11.9164i | −0.105538 | − | 0.496518i | ||||
\(577\) | −30.6480 | + | 4.85417i | −1.27589 | + | 0.202082i | −0.757372 | − | 0.652983i | \(-0.773517\pi\) |
−0.518521 | + | 0.855065i | \(0.673517\pi\) | |||||||
\(578\) | 66.2475 | − | 53.6462i | 2.75553 | − | 2.23139i | ||||
\(579\) | −3.63523 | + | 5.59777i | −0.151075 | + | 0.232635i | ||||
\(580\) | 16.0956 | + | 8.20111i | 0.668333 | + | 0.340533i | ||||
\(581\) | −0.613919 | − | 0.273334i | −0.0254696 | − | 0.0113398i | ||||
\(582\) | 14.3963 | − | 24.9351i | 0.596745 | − | 1.03359i | ||||
\(583\) | −19.3489 | − | 15.6603i | −0.801350 | − | 0.648582i | ||||
\(584\) | 2.70957i | 0.112123i | ||||||||
\(585\) | −4.86931 | − | 14.1444i | −0.201321 | − | 0.584797i | ||||
\(586\) | −12.2753 | − | 37.7793i | −0.507086 | − | 1.56065i | ||||
\(587\) | 31.1076 | + | 1.63028i | 1.28395 | + | 0.0672889i | 0.682063 | − | 0.731294i | \(-0.261083\pi\) |
0.601885 | + | 0.798583i | \(0.294416\pi\) | |||||||
\(588\) | −17.0462 | + | 7.58946i | −0.702974 | + | 0.312984i | ||||
\(589\) | 0.727863 | − | 6.92515i | 0.0299911 | − | 0.285346i | ||||
\(590\) | −50.1800 | + | 25.5680i | −2.06588 | + | 1.05262i | ||||
\(591\) | −5.38613 | + | 0.282275i | −0.221556 | + | 0.0116113i | ||||
\(592\) | −2.35663 | − | 6.13922i | −0.0968568 | − | 0.252320i | ||||
\(593\) | −26.8198 | + | 26.8198i | −1.10136 | + | 1.10136i | −0.107108 | + | 0.994247i | \(0.534159\pi\) |
−0.994247 | + | 0.107108i | \(0.965841\pi\) | |||||||
\(594\) | −3.58729 | − | 6.20971i | −0.147188 | − | 0.254787i | ||||
\(595\) | 4.30895 | + | 2.48777i | 0.176650 | + | 0.101989i | ||||
\(596\) | −41.4868 | − | 33.5954i | −1.69937 | − | 1.37612i | ||||
\(597\) | 6.35425 | − | 2.06462i | 0.260062 | − | 0.0844993i | ||||
\(598\) | −46.6041 | − | 32.6369i | −1.90578 | − | 1.33462i | ||||
\(599\) | 1.16181 | + | 0.844102i | 0.0474701 | + | 0.0344891i | 0.611267 | − | 0.791424i | \(-0.290660\pi\) |
−0.563797 | + | 0.825913i | \(0.690660\pi\) | |||||||
\(600\) | −16.6508 | − | 6.39166i | −0.679768 | − | 0.260938i | ||||
\(601\) | 7.13757 | − | 6.42669i | 0.291147 | − | 0.262150i | −0.510593 | − | 0.859822i | \(-0.670574\pi\) |
0.801741 | + | 0.597672i | \(0.203908\pi\) | |||||||
\(602\) | 1.73273 | − | 1.92439i | 0.0706208 | − | 0.0784323i | ||||
\(603\) | −0.499287 | + | 3.15237i | −0.0203325 | + | 0.128375i | ||||
\(604\) | −4.93721 | + | 18.4259i | −0.200892 | + | 0.749741i | ||||
\(605\) | −35.4526 | + | 28.7389i | −1.44135 | + | 1.16840i | ||||
\(606\) | 10.6198 | + | 10.6198i | 0.431398 | + | 0.431398i | ||||
\(607\) | 10.7013 | − | 24.0355i | 0.434353 | − | 0.975572i | −0.555242 | − | 0.831689i | \(-0.687374\pi\) |
0.989595 | − | 0.143883i | \(-0.0459590\pi\) | |||||||
\(608\) | 1.71003 | − | 8.04506i | 0.0693509 | − | 0.326270i | ||||
\(609\) | −0.0135984 | + | 0.259472i | −0.000551033 | + | 0.0105143i | ||||
\(610\) | 37.4313 | − | 51.5197i | 1.51555 | − | 2.08597i | ||||
\(611\) | −42.4492 | + | 5.20941i | −1.71731 | + | 0.210750i | ||||
\(612\) | −19.1127 | − | 6.21009i | −0.772585 | − | 0.251028i | ||||
\(613\) | −1.11342 | − | 1.71451i | −0.0449705 | − | 0.0692485i | 0.815470 | − | 0.578799i | \(-0.196478\pi\) |
−0.860441 | + | 0.509550i | \(0.829812\pi\) | |||||||
\(614\) | −0.0319168 | − | 0.303668i | −0.00128806 | − | 0.0122551i | ||||
\(615\) | −4.14989 | − | 7.18782i | −0.167340 | − | 0.289841i | ||||
\(616\) | 0.546915 | + | 0.546636i | 0.0220358 | + | 0.0220246i | ||||
\(617\) | 32.6322 | + | 8.74377i | 1.31372 | + | 0.352011i | 0.846622 | − | 0.532194i | \(-0.178632\pi\) |
0.467100 | + | 0.884205i | \(0.345299\pi\) | |||||||
\(618\) | −5.81747 | + | 2.23312i | −0.234013 | + | 0.0898291i | ||||
\(619\) | 5.38593 | − | 10.5705i | 0.216479 | − | 0.424864i | −0.757073 | − | 0.653330i | \(-0.773371\pi\) |
0.973552 | + | 0.228467i | \(0.0733712\pi\) | |||||||
\(620\) | 70.4364 | − | 14.9717i | 2.82879 | − | 0.601279i | ||||
\(621\) | 2.96833 | + | 6.66698i | 0.119115 | + | 0.267537i | ||||
\(622\) | 8.62051 | − | 22.4572i | 0.345651 | − | 0.900452i | ||||
\(623\) | 0.0871944 | − | 0.268357i | 0.00349337 | − | 0.0107515i | ||||
\(624\) | 5.68780 | + | 5.49333i | 0.227694 | + | 0.219909i | ||||
\(625\) | 51.0478 | − | 37.0884i | 2.04191 | − | 1.48354i | ||||
\(626\) | 35.5081 | − | 9.51438i | 1.41919 | − | 0.380271i | ||||
\(627\) | −0.373011 | − | 3.54028i | −0.0148966 | − | 0.141385i | ||||
\(628\) | 35.6997 | − | 20.6112i | 1.42457 | − | 0.822478i | ||||
\(629\) | −22.2458 | − | 3.52339i | −0.886999 | − | 0.140487i | ||||
\(630\) | −0.0749579 | − | 1.43028i | −0.00298639 | − | 0.0569838i | ||||
\(631\) | −3.37154 | − | 2.18950i | −0.134219 | − | 0.0871627i | 0.475783 | − | 0.879563i | \(-0.342165\pi\) |
−0.610002 | + | 0.792400i | \(0.708831\pi\) | |||||||
\(632\) | 0.928003 | + | 5.85918i | 0.0369140 | + | 0.233066i | ||||
\(633\) | −9.67888 | − | 1.01729i | −0.384701 | − | 0.0404337i | ||||
\(634\) | −21.4174 | − | 23.7865i | −0.850595 | − | 0.944681i | ||||
\(635\) | −54.6185 | + | 35.4697i | −2.16747 | + | 1.40757i | ||||
\(636\) | 11.8024 | + | 16.2446i | 0.467996 | + | 0.644141i | ||||
\(637\) | 13.3272 | − | 21.3250i | 0.528043 | − | 0.844927i | ||||
\(638\) | −11.0990 | + | 3.60942i | −0.439414 | + | 0.142898i | ||||
\(639\) | 1.31335 | + | 4.90147i | 0.0519552 | + | 0.193899i | ||||
\(640\) | 45.4561 | − | 4.77762i | 1.79681 | − | 0.188852i | ||||
\(641\) | −7.46299 | − | 6.71970i | −0.294770 | − | 0.265412i | 0.508454 | − | 0.861089i | \(-0.330217\pi\) |
−0.803224 | + | 0.595677i | \(0.796884\pi\) | |||||||
\(642\) | −10.9639 | − | 21.5178i | −0.432710 | − | 0.849241i | ||||
\(643\) | −22.6078 | − | 27.9183i | −0.891565 | − | 1.10099i | −0.994336 | − | 0.106285i | \(-0.966104\pi\) |
0.102771 | − | 0.994705i | \(-0.467229\pi\) | |||||||
\(644\) | −1.96170 | − | 2.42249i | −0.0773017 | − | 0.0954596i | ||||
\(645\) | −14.1291 | − | 27.7299i | −0.556332 | − | 1.09186i | ||||
\(646\) | −12.9554 | − | 11.6651i | −0.509724 | − | 0.458958i | ||||
\(647\) | 12.3778 | − | 1.30096i | 0.486621 | − | 0.0511460i | 0.141959 | − | 0.989873i | \(-0.454660\pi\) |
0.344663 | + | 0.938727i | \(0.387993\pi\) | |||||||
\(648\) | 0.377961 | + | 1.41057i | 0.0148477 | + | 0.0554124i | ||||
\(649\) | 6.42905 | − | 19.8038i | 0.252362 | − | 0.777366i | ||||
\(650\) | 92.7777 | − | 21.4133i | 3.63904 | − | 0.839899i | ||||
\(651\) | 0.608796 | + | 0.837936i | 0.0238606 | + | 0.0328413i | ||||
\(652\) | −13.8850 | + | 9.01699i | −0.543777 | + | 0.353133i | ||||
\(653\) | 6.15908 | + | 6.84036i | 0.241024 | + | 0.267684i | 0.851505 | − | 0.524347i | \(-0.175691\pi\) |
−0.610481 | + | 0.792031i | \(0.709024\pi\) | |||||||
\(654\) | 2.71046 | + | 0.284881i | 0.105987 | + | 0.0111397i | ||||
\(655\) | −7.98242 | − | 50.3990i | −0.311899 | − | 1.96925i | ||||
\(656\) | 3.67951 | + | 2.38950i | 0.143661 | + | 0.0932944i | ||||
\(657\) | 0.0971069 | + | 1.85291i | 0.00378850 | + | 0.0722889i | ||||
\(658\) | −4.04435 | − | 0.640562i | −0.157665 | − | 0.0249717i | ||||
\(659\) | −27.1249 | + | 15.6606i | −1.05664 | + | 0.610050i | −0.924500 | − | 0.381181i | \(-0.875517\pi\) |
−0.132137 | + | 0.991231i | \(0.542184\pi\) | |||||||
\(660\) | 33.6274 | − | 14.9822i | 1.30895 | − | 0.583180i | ||||
\(661\) | 13.4399 | − | 3.60122i | 0.522753 | − | 0.140071i | 0.0122131 | − | 0.999925i | \(-0.496112\pi\) |
0.510540 | + | 0.859854i | \(0.329446\pi\) | |||||||
\(662\) | 14.7136 | − | 10.6901i | 0.571862 | − | 0.415482i | ||||
\(663\) | 26.0347 | − | 7.46357i | 1.01110 | − | 0.289861i | ||||
\(664\) | −1.89949 | + | 5.84603i | −0.0737145 | + | 0.226870i | ||||
\(665\) | 0.254787 | − | 0.663742i | 0.00988021 | − | 0.0257388i | ||||
\(666\) | 2.63705 | + | 5.92291i | 0.102184 | + | 0.229508i | ||||
\(667\) | 11.6175 | − | 2.46938i | 0.449832 | − | 0.0956147i | ||||
\(668\) | 14.6892 | − | 28.8292i | 0.568343 | − | 1.11544i | ||||
\(669\) | −8.87382 | + | 3.40634i | −0.343082 | + | 0.131697i | ||||
\(670\) | −27.6568 | − | 7.41061i | −1.06847 | − | 0.286297i | ||||
\(671\) | 3.68895 | + | 23.2528i | 0.142410 | + | 0.897663i | ||||
\(672\) | 0.611692 | + | 1.05948i | 0.0235965 | + | 0.0408704i | ||||
\(673\) | 2.92982 | + | 27.8754i | 0.112936 | + | 1.07452i | 0.893383 | + | 0.449295i | \(0.148325\pi\) |
−0.780447 | + | 0.625222i | \(0.785008\pi\) | |||||||
\(674\) | −3.22168 | − | 4.96096i | −0.124095 | − | 0.191089i | ||||
\(675\) | −11.6156 | − | 3.77412i | −0.447083 | − | 0.145266i | ||||
\(676\) | 34.2507 | + | 6.04374i | 1.31733 | + | 0.232452i | ||||
\(677\) | 2.70142 | − | 3.71818i | 0.103824 | − | 0.142901i | −0.753944 | − | 0.656939i | \(-0.771851\pi\) |
0.857768 | + | 0.514038i | \(0.171851\pi\) | |||||||
\(678\) | −1.57807 | + | 30.1113i | −0.0606054 | + | 1.15642i | ||||
\(679\) | −0.442005 | + | 2.07947i | −0.0169626 | + | 0.0798028i | ||||
\(680\) | 18.5109 | − | 41.5762i | 0.709861 | − | 1.59437i | ||||
\(681\) | 0.571552 | + | 0.571552i | 0.0219019 | + | 0.0219019i | ||||
\(682\) | −25.3291 | + | 39.0251i | −0.969899 | + | 1.49435i | ||||
\(683\) | −6.91557 | + | 25.8092i | −0.264617 | + | 0.987563i | 0.697868 | + | 0.716227i | \(0.254132\pi\) |
−0.962485 | + | 0.271337i | \(0.912534\pi\) | |||||||
\(684\) | −0.449216 | + | 2.83624i | −0.0171762 | + | 0.108446i | ||||
\(685\) | −14.6514 | + | 16.2720i | −0.559800 | + | 0.621721i | ||||
\(686\) | 3.58505 | − | 3.22799i | 0.136878 | − | 0.123245i | ||||
\(687\) | 5.56926 | + | 2.13784i | 0.212481 | + | 0.0815636i | ||||
\(688\) | 13.3094 | + | 9.66982i | 0.507415 | + | 0.368658i | ||||
\(689\) | −25.4282 | − | 9.25691i | −0.968737 | − | 0.352660i | ||||
\(690\) | −62.2653 | + | 20.2312i | −2.37040 | + | 0.770189i | ||||
\(691\) | 37.5384 | + | 30.3980i | 1.42803 | + | 1.15640i | 0.962473 | + | 0.271378i | \(0.0874793\pi\) |
0.465557 | + | 0.885018i | \(0.345854\pi\) | |||||||
\(692\) | 45.2200 | + | 26.1078i | 1.71901 | + | 0.992469i | ||||
\(693\) | 0.393592 | + | 0.354210i | 0.0149513 | + | 0.0134553i | ||||
\(694\) | −9.88464 | + | 9.88464i | −0.375216 | + | 0.375216i | ||||
\(695\) | 16.1767 | + | 42.1417i | 0.613616 | + | 1.59852i | ||||
\(696\) | 2.37336 | − | 0.124383i | 0.0899622 | − | 0.00471472i | ||||
\(697\) | 13.3890 | − | 6.82201i | 0.507143 | − | 0.258402i | ||||
\(698\) | −4.26073 | + | 40.5381i | −0.161271 | + | 1.53439i | ||||
\(699\) | −5.75442 | + | 2.56203i | −0.217652 | + | 0.0969050i | ||||
\(700\) | 5.20954 | + | 0.273020i | 0.196902 | + | 0.0103192i | ||||
\(701\) | 8.02197 | + | 24.6891i | 0.302985 | + | 0.932493i | 0.980421 | + | 0.196912i | \(0.0630912\pi\) |
−0.677436 | + | 0.735582i | \(0.736909\pi\) | |||||||
\(702\) | −5.88350 | − | 5.11510i | −0.222059 | − | 0.193057i | ||||
\(703\) | 3.21837i | 0.121383i | ||||||||
\(704\) | −25.4199 | + | 31.4073i | −0.958048 | + | 1.18371i | ||||
\(705\) | −24.6063 | + | 42.6193i | −0.926726 | + | 1.60514i | ||||
\(706\) | −27.6348 | − | 12.3038i | −1.04005 | − | 0.463060i | ||||
\(707\) | −0.988051 | − | 0.503437i | −0.0371595 | − | 0.0189337i | ||||
\(708\) | −9.14749 | + | 14.0859i | −0.343784 | + | 0.529380i | ||||
\(709\) | 33.5215 | − | 27.1451i | 1.25892 | − | 1.01946i | 0.260381 | − | 0.965506i | \(-0.416152\pi\) |
0.998544 | − | 0.0539512i | \(-0.0171815\pi\) | |||||||
\(710\) | −44.9618 | + | 7.12124i | −1.68738 | + | 0.267255i | ||||
\(711\) | 0.844588 | + | 3.97348i | 0.0316745 | + | 0.149017i | ||||
\(712\) | −2.52455 | − | 0.536610i | −0.0946116 | − | 0.0201103i | ||||
\(713\) | 29.7953 | − | 36.7941i | 1.11584 | − | 1.37795i | ||||
\(714\) | 2.59308 | 0.0970437 | ||||||||
\(715\) | −26.2831 | + | 42.0797i | −0.982931 | + | 1.57369i | ||||
\(716\) | 2.18332 | 0.0815946 | ||||||||
\(717\) | −9.10869 | + | 11.2483i | −0.340170 | + | 0.420075i | ||||
\(718\) | −7.52943 | − | 1.60043i | −0.280996 | − | 0.0597275i | ||||
\(719\) | −9.07616 | − | 42.7000i | −0.338484 | − | 1.59244i | −0.737402 | − | 0.675454i | \(-0.763948\pi\) |
0.398919 | − | 0.916986i | \(-0.369385\pi\) | |||||||
\(720\) | 8.98704 | − | 1.42341i | 0.334927 | − | 0.0530473i | ||||
\(721\) | 0.357564 | − | 0.289549i | 0.0133164 | − | 0.0107834i | ||||
\(722\) | 21.0186 | − | 32.3659i | 0.782233 | − | 1.20453i | ||||
\(723\) | −24.7407 | − | 12.6060i | −0.920115 | − | 0.468822i | ||||
\(724\) | −53.8509 | − | 23.9759i | −2.00135 | − | 0.891059i | ||||
\(725\) | −9.93832 | + | 17.2137i | −0.369100 | + | 0.639300i | ||||
\(726\) | −8.51241 | + | 22.2094i | −0.315925 | + | 0.824269i | ||||
\(727\) | 18.1401i | 0.672778i | 0.941723 | + | 0.336389i | \(0.109206\pi\) | ||||
−0.941723 | + | 0.336389i | \(0.890794\pi\) | |||||||
\(728\) | 0.755520 | + | 0.368550i | 0.0280014 | + | 0.0136594i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | −16.6224 | − | 0.871145i | −0.615224 | − | 0.0322425i | ||||
\(731\) | 51.4750 | − | 22.9182i | 1.90387 | − | 0.847659i | ||||
\(732\) | 1.98515 | − | 18.8875i | 0.0733734 | − | 0.698102i | ||||
\(733\) | −35.7685 | + | 18.2250i | −1.32114 | + | 0.673154i | −0.965239 | − | 0.261370i | \(-0.915826\pi\) |
−0.355900 | + | 0.934524i | \(0.615826\pi\) | |||||||
\(734\) | 0.640001 | − | 0.0335410i | 0.0236229 | − | 0.00123802i | ||||
\(735\) | −10.3699 | − | 27.0146i | −0.382500 | − | 0.996447i | ||||
\(736\) | 39.5431 | − | 39.5431i | 1.45758 | − | 1.45758i | ||||
\(737\) | 9.16601 | − | 5.29512i | 0.337635 | − | 0.195048i | ||||
\(738\) | −3.74605 | − | 2.16278i | −0.137894 | − | 0.0796130i | ||||
\(739\) | 11.3369 | + | 9.18048i | 0.417036 | + | 0.337709i | 0.814763 | − | 0.579795i | \(-0.196867\pi\) |
−0.397726 | + | 0.917504i | \(0.630201\pi\) | |||||||
\(740\) | −31.6534 | + | 10.2848i | −1.16360 | + | 0.378077i | ||||
\(741\) | −1.63531 | − | 3.50751i | −0.0600746 | − | 0.128852i | ||||
\(742\) | −2.09609 | − | 1.52290i | −0.0769500 | − | 0.0559074i | ||||
\(743\) | −21.0451 | − | 8.07844i | −0.772068 | − | 0.296369i | −0.0597384 | − | 0.998214i | \(-0.519027\pi\) |
−0.712330 | + | 0.701845i | \(0.752360\pi\) | |||||||
\(744\) | 7.04045 | − | 6.33925i | 0.258115 | − | 0.232408i | ||||
\(745\) | 55.3945 | − | 61.5218i | 2.02950 | − | 2.25398i | ||||
\(746\) | −4.95022 | + | 31.2544i | −0.181240 | + | 1.14431i | ||||
\(747\) | −1.08943 | + | 4.06582i | −0.0398602 | + | 0.148760i | ||||
\(748\) | 23.9017 | + | 62.2187i | 0.873934 | + | 2.27494i | ||||
\(749\) | 1.26087 | + | 1.26087i | 0.0460713 | + | 0.0460713i | ||||
\(750\) | 26.3202 | − | 59.1161i | 0.961077 | − | 2.15861i | ||||
\(751\) | −4.40096 | + | 20.7049i | −0.160593 | + | 0.755531i | 0.821959 | + | 0.569546i | \(0.192881\pi\) |
−0.982553 | + | 0.185985i | \(0.940452\pi\) | |||||||
\(752\) | 1.36147 | − | 25.9784i | 0.0496477 | − | 0.947335i | ||||
\(753\) | −10.0773 | + | 13.8702i | −0.367236 | + | 0.505457i | ||||
\(754\) | −10.1335 | + | 7.63512i | −0.369039 | + | 0.278055i | ||||
\(755\) | −28.1346 | − | 9.14148i | −1.02392 | − | 0.332692i | ||||
\(756\) | −0.232632 | − | 0.358222i | −0.00846075 | − | 0.0130284i | ||||
\(757\) | 3.06095 | + | 29.1230i | 0.111252 | + | 1.05849i | 0.897631 | + | 0.440748i | \(0.145287\pi\) |
−0.786379 | + | 0.617744i | \(0.788047\pi\) | |||||||
\(758\) | 11.1836 | + | 19.3705i | 0.406206 | + | 0.703569i | ||||
\(759\) | 10.9831 | − | 21.5691i | 0.398661 | − | 0.782910i | ||||
\(760\) | −6.28153 | − | 1.68313i | −0.227855 | − | 0.0610536i | ||||
\(761\) | 25.3335 | − | 9.72464i | 0.918340 | − | 0.352518i | 0.147144 | − | 0.989115i | \(-0.452992\pi\) |
0.771196 | + | 0.636597i | \(0.219659\pi\) | |||||||
\(762\) | −15.4089 | + | 30.2416i | −0.558205 | + | 1.09554i | ||||
\(763\) | −0.196835 | + | 0.0418385i | −0.00712590 | + | 0.00151466i | ||||
\(764\) | 8.93747 | + | 20.0739i | 0.323346 | + | 0.726247i | ||||
\(765\) | 11.1684 | − | 29.0948i | 0.403796 | − | 1.05192i | ||||
\(766\) | 14.8032 | − | 45.5596i | 0.534861 | − | 1.64613i | ||||
\(767\) | −0.393619 | − | 22.6316i | −0.0142128 | − | 0.817179i | ||||
\(768\) | −0.440674 | + | 0.320168i | −0.0159015 | + | 0.0115531i | ||||
\(769\) | −48.5449 | + | 13.0076i | −1.75057 | + | 0.469065i | −0.984749 | − | 0.173983i | \(-0.944336\pi\) |
−0.765826 | + | 0.643048i | \(0.777669\pi\) | |||||||
\(770\) | −3.52929 | + | 3.17942i | −0.127187 | + | 0.114578i | ||||
\(771\) | −0.656253 | + | 0.378888i | −0.0236344 | + | 0.0136453i | ||||
\(772\) | −17.6371 | − | 2.79344i | −0.634774 | − | 0.100538i | ||||
\(773\) | 0.213012 | + | 4.06450i | 0.00766149 | + | 0.146190i | 0.999782 | + | 0.0208994i | \(0.00665298\pi\) |
−0.992120 | + | 0.125291i | \(0.960014\pi\) | |||||||
\(774\) | −13.6030 | − | 8.83389i | −0.488949 | − | 0.317527i | ||||
\(775\) | 12.3949 | + | 78.2582i | 0.445237 | + | 2.81112i | ||||
\(776\) | 19.3391 | + | 2.03262i | 0.694234 | + | 0.0729670i | ||||
\(777\) | −0.320320 | − | 0.355752i | −0.0114914 | − | 0.0127625i | ||||
\(778\) | 9.90726 | − | 6.43385i | 0.355192 | − | 0.230665i | ||||
\(779\) | −1.26209 | − | 1.73712i | −0.0452192 | − | 0.0622389i | ||||
\(780\) | 29.2712 | − | 27.2924i | 1.04808 | − | 0.977226i | ||||
\(781\) | 9.88884 | − | 13.6181i | 0.353851 | − | 0.487295i | ||||
\(782\) | −30.6785 | − | 114.494i | −1.09706 | − | 4.09429i | ||||
\(783\) | 1.61854 | − | 0.170116i | 0.0578419 | − | 0.00607943i | ||||
\(784\) | 11.3672 | + | 10.2350i | 0.405970 | + | 0.365537i | ||||
\(785\) | 29.0221 | + | 56.9591i | 1.03584 | + | 2.03296i | ||||
\(786\) | −16.7359 | − | 20.6671i | −0.596951 | − | 0.737173i | ||||
\(787\) | 30.6974 | + | 37.9082i | 1.09424 | + | 1.35128i | 0.931136 | + | 0.364672i | \(0.118819\pi\) |
0.163109 | + | 0.986608i | \(0.447848\pi\) | |||||||
\(788\) | −6.55094 | − | 12.8569i | −0.233367 | − | 0.458009i | ||||
\(789\) | 4.33986 | + | 3.90763i | 0.154503 | + | 0.139115i | ||||
\(790\) | −36.2427 | + | 3.80926i | −1.28946 | + | 0.135528i | ||||
\(791\) | −0.576223 | − | 2.15049i | −0.0204881 | − | 0.0764628i | ||||
\(792\) | 2.84586 | − | 3.91909i | 0.101123 | − | 0.139259i | ||||
\(793\) | 12.0145 | + | 22.5994i | 0.426647 | + | 0.802528i | ||||
\(794\) | −15.8284 | − | 21.7859i | −0.561727 | − | 0.773151i | ||||
\(795\) | −26.1151 | + | 16.9593i | −0.926207 | + | 0.601486i | ||||
\(796\) | 11.9606 | + | 13.2836i | 0.423932 | + | 0.470824i | ||||
\(797\) | −12.9755 | − | 1.36378i | −0.459615 | − | 0.0483074i | −0.128108 | − | 0.991760i | \(-0.540890\pi\) |
−0.331507 | + | 0.943453i | \(0.607557\pi\) | |||||||
\(798\) | −0.0579637 | − | 0.365968i | −0.00205189 | − | 0.0129551i | ||||
\(799\) | −74.7251 | − | 48.5270i | −2.64358 | − | 1.71676i | ||||
\(800\) | 4.89802 | + | 93.4597i | 0.173171 | + | 3.30430i | ||||
\(801\) | −1.74562 | − | 0.276479i | −0.0616784 | − | 0.00976889i | ||||
\(802\) | 9.24327 | − | 5.33661i | 0.326391 | − | 0.188442i | ||||
\(803\) | 4.57215 | − | 4.11889i | 0.161348 | − | 0.145352i | ||||
\(804\) | −8.24794 | + | 2.21003i | −0.290882 | + | 0.0779417i | ||||
\(805\) | 3.91080 | − | 2.84136i | 0.137838 | − | 0.100145i | ||||
\(806\) | −12.2388 | + | 49.0742i | −0.431095 | + | 1.72857i | ||||
\(807\) | 2.37015 | − | 7.29456i | 0.0834331 | − | 0.256781i | ||||
\(808\) | −3.63497 | + | 9.46943i | −0.127878 | + | 0.333133i | ||||
\(809\) | −13.6182 | − | 30.5869i | −0.478789 | − | 1.07538i | −0.977944 | − | 0.208865i | \(-0.933023\pi\) |
0.499155 | − | 0.866513i | \(-0.333644\pi\) | |||||||
\(810\) | −8.77495 | + | 1.86517i | −0.308320 | + | 0.0655355i | ||||
\(811\) | −15.1442 | + | 29.7221i | −0.531784 | + | 1.04368i | 0.456308 | + | 0.889822i | \(0.349171\pi\) |
−0.988092 | + | 0.153863i | \(0.950829\pi\) | |||||||
\(812\) | −0.648966 | + | 0.249115i | −0.0227742 | + | 0.00874221i | ||||
\(813\) | −25.2201 | − | 6.75770i | −0.884507 | − | 0.237003i | ||||
\(814\) | 9.75732 | − | 19.1619i | 0.341994 | − | 0.671624i | ||||
\(815\) | −12.8372 | − | 22.2347i | −0.449668 | − | 0.778849i | ||||
\(816\) | 1.72199 | + | 16.3836i | 0.0602817 | + | 0.573542i | ||||
\(817\) | −4.38513 | − | 6.75251i | −0.153416 | − | 0.236240i | ||||
\(818\) | −16.1163 | − | 5.23649i | −0.563492 | − | 0.183090i | ||||
\(819\) | 0.529862 | + | 0.224952i | 0.0185149 | + | 0.00786047i | ||||
\(820\) | 13.0518 | − | 17.9642i | 0.455788 | − | 0.627338i | ||||
\(821\) | −2.75150 | + | 52.5018i | −0.0960281 | + | 1.83233i | 0.349361 | + | 0.936988i | \(0.386399\pi\) |
−0.445389 | + | 0.895337i | \(0.646935\pi\) | |||||||
\(822\) | −2.37259 | + | 11.1621i | −0.0827534 | + | 0.389324i | ||||
\(823\) | 6.29031 | − | 14.1283i | 0.219267 | − | 0.492481i | −0.770100 | − | 0.637923i | \(-0.779794\pi\) |
0.989367 | + | 0.145442i | \(0.0464605\pi\) | |||||||
\(824\) | −2.97584 | − | 2.97584i | −0.103668 | − | 0.103668i | ||||
\(825\) | 14.5261 | + | 37.8128i | 0.505732 | + | 1.31647i | ||||
\(826\) | 0.560906 | − | 2.09333i | 0.0195164 | − | 0.0728362i | ||||
\(827\) | −7.64076 | + | 48.2418i | −0.265695 | + | 1.67753i | 0.388687 | + | 0.921370i | \(0.372929\pi\) |
−0.654383 | + | 0.756164i | \(0.727071\pi\) | |||||||
\(828\) | −13.0645 | + | 14.5096i | −0.454024 | + | 0.504245i | ||||
\(829\) | −5.77161 | + | 5.19678i | −0.200456 | + | 0.180492i | −0.763245 | − | 0.646109i | \(-0.776395\pi\) |
0.562789 | + | 0.826601i | \(0.309728\pi\) | |||||||
\(830\) | −35.2530 | − | 13.5324i | −1.22365 | − | 0.469715i | ||||
\(831\) | 3.97045 | + | 2.88470i | 0.137733 | + | 0.100069i | ||||
\(832\) | −15.0259 | + | 41.2753i | −0.520929 | + | 1.43096i | ||||
\(833\) | 49.8255 | − | 16.1893i | 1.72635 | − | 0.560925i | ||||
\(834\) | 18.2826 | + | 14.8050i | 0.633075 | + | 0.512654i | ||||
\(835\) | 43.4541 | + | 25.0882i | 1.50379 | + | 0.868214i | ||||
\(836\) | 8.24680 | − | 4.76410i | 0.285222 | − | 0.164770i | ||||
\(837\) | 4.58734 | − | 4.58734i | 0.158562 | − | 0.158562i | ||||
\(838\) | −26.9743 | − | 70.2704i | −0.931812 | − | 2.42745i | ||||
\(839\) | −4.73167 | + | 0.247976i | −0.163355 | + | 0.00856109i | −0.133838 | − | 0.991003i | \(-0.542730\pi\) |
−0.0295171 | + | 0.999564i | \(0.509397\pi\) | |||||||
\(840\) | 0.861868 | − | 0.439144i | 0.0297373 | − | 0.0151519i | ||||
\(841\) | −2.75447 | + | 26.2070i | −0.0949817 | + | 0.903691i | ||||
\(842\) | −2.38634 | + | 1.06246i | −0.0822385 | + | 0.0366150i | ||||
\(843\) | −1.17364 | − | 0.0615078i | −0.0404223 | − | 0.00211844i | ||||
\(844\) | −8.04595 | − | 24.7629i | −0.276953 | − | 0.852374i | ||||
\(845\) | −12.1395 | + | 52.5517i | −0.417610 | + | 1.80783i | ||||
\(846\) | 25.6479i | 0.881793i | ||||||||
\(847\) | 0.0910169 | − | 1.75382i | 0.00312738 | − | 0.0602620i | ||||
\(848\) | 8.23005 | − | 14.2549i | 0.282621 | − | 0.489514i | ||||
\(849\) | −6.55856 | − | 2.92006i | −0.225089 | − | 0.100216i | ||||
\(850\) | 176.748 | + | 90.0575i | 6.06240 | + | 3.08895i | ||||
\(851\) | −11.9180 | + | 18.3522i | −0.408545 | + | 0.629104i | ||||
\(852\) | −10.5504 | + | 8.54356i | −0.361451 | + | 0.292698i | ||||
\(853\) | −11.2880 | + | 1.78785i | −0.386495 | + | 0.0612148i | −0.346659 | − | 0.937991i | \(-0.612684\pi\) |
−0.0398366 | + | 0.999206i | \(0.512684\pi\) | |||||||
\(854\) | 0.509494 | + | 2.39698i | 0.0174345 | + | 0.0820231i | ||||
\(855\) | −4.35587 | − | 0.925870i | −0.148968 | − | 0.0316641i | ||||
\(856\) | 10.2644 | − | 12.6754i | 0.350829 | − | 0.433237i | ||||
\(857\) | 44.1995 | 1.50983 | 0.754913 | − | 0.655825i | \(-0.227679\pi\) | ||||
0.754913 | + | 0.655825i | \(0.227679\pi\) | |||||||
\(858\) | −0.897419 | + | 25.8413i | −0.0306374 | + | 0.882207i | ||||
\(859\) | 23.2424 | 0.793022 | 0.396511 | − | 0.918030i | \(-0.370221\pi\) | ||||
0.396511 | + | 0.918030i | \(0.370221\pi\) | |||||||
\(860\) | 52.3990 | − | 64.7074i | 1.78679 | − | 2.20650i | ||||
\(861\) | 0.312403 | + | 0.0664034i | 0.0106467 | + | 0.00226302i | ||||
\(862\) | 11.5206 | + | 54.2001i | 0.392393 | + | 1.84606i | ||||
\(863\) | 12.6187 | − | 1.99860i | 0.429545 | − | 0.0680332i | 0.0620811 | − | 0.998071i | \(-0.480226\pi\) |
0.367464 | + | 0.930038i | \(0.380226\pi\) | |||||||
\(864\) | 5.95510 | − | 4.82234i | 0.202597 | − | 0.164059i | ||||
\(865\) | −44.1019 | + | 67.9109i | −1.49951 | + | 2.30904i | ||||
\(866\) | −32.1161 | − | 16.3640i | −1.09135 | − | 0.556071i | ||||
\(867\) | 36.0155 | + | 16.0351i | 1.22315 | + | 0.544581i | ||||
\(868\) | −1.38550 | + | 2.39976i | −0.0470270 | + | 0.0814532i | ||||
\(869\) | 8.47613 | − | 10.4726i | 0.287533 | − | 0.355259i | ||||
\(870\) | 14.5999i | 0.494983i | ||||||||
\(871\) | 7.55029 | − | 8.68451i | 0.255832 | − | 0.294263i | ||||
\(872\) | 0.568792 | + | 1.75056i | 0.0192617 | + | 0.0592815i | ||||
\(873\) | 13.2977 | + | 0.696903i | 0.450059 | + | 0.0235866i | ||||
\(874\) | −15.4730 | + | 6.88905i | −0.523384 | + | 0.233025i | ||||
\(875\) | −0.499435 | + | 4.75181i | −0.0168840 | + | 0.160640i | ||||
\(876\) | −4.42298 | + | 2.25362i | −0.149439 | + | 0.0761428i | ||||
\(877\) | −14.7255 | + | 0.771731i | −0.497245 | + | 0.0260595i | −0.299310 | − | 0.954156i | \(-0.596757\pi\) |
−0.197934 | + | 0.980215i | \(0.563423\pi\) | |||||||
\(878\) | 11.6518 | + | 30.3541i | 0.393230 | + | 1.02440i | ||||
\(879\) | 12.9905 | − | 12.9905i | 0.438158 | − | 0.438158i | ||||
\(880\) | −22.4319 | − | 20.1874i | −0.756180 | − | 0.680518i | ||||
\(881\) | −42.4477 | − | 24.5072i | −1.43010 | − | 0.825668i | −0.432972 | − | 0.901408i | \(-0.642535\pi\) |
−0.997128 | + | 0.0757393i | \(0.975868\pi\) | |||||||
\(882\) | −11.7199 | − | 9.49060i | −0.394630 | − | 0.319565i | ||||
\(883\) | 25.9214 | − | 8.42237i | 0.872324 | − | 0.283435i | 0.161558 | − | 0.986863i | \(-0.448348\pi\) |
0.710767 | + | 0.703428i | \(0.248348\pi\) | |||||||
\(884\) | 46.5717 | + | 55.5091i | 1.56638 | + | 1.86697i | ||||
\(885\) | −21.0717 | − | 15.3095i | −0.708316 | − | 0.514622i | ||||
\(886\) | 32.5551 | + | 12.4967i | 1.09371 | + | 0.419836i | ||||
\(887\) | 13.7409 | − | 12.3724i | 0.461376 | − | 0.415425i | −0.405387 | − | 0.914145i | \(-0.632863\pi\) |
0.866763 | + | 0.498720i | \(0.166197\pi\) | |||||||
\(888\) | −2.92994 | + | 3.25403i | −0.0983223 | + | 0.109198i | ||||
\(889\) | 0.392036 | − | 2.47521i | 0.0131484 | − | 0.0830160i | ||||
\(890\) | 4.10361 | − | 15.3149i | 0.137553 | − | 0.513356i | ||||
\(891\) | 1.80565 | − | 2.78202i | 0.0604917 | − | 0.0932010i | ||||
\(892\) | −17.9816 | − | 17.9816i | −0.602068 | − | 0.602068i | ||||
\(893\) | −5.17840 | + | 11.6309i | −0.173289 | + | 0.389212i | ||||
\(894\) | 8.97037 | − | 42.2023i | 0.300014 | − | 1.41145i | ||||
\(895\) | −0.177201 | + | 3.38120i | −0.00592318 | + | 0.113021i | ||||
\(896\) | −1.03381 | + | 1.42292i | −0.0345372 | + | 0.0475363i | ||||
\(897\) | 3.66370 | − | 26.0567i | 0.122327 | − | 0.870009i | ||||
\(898\) | 62.8224 | + | 20.4122i | 2.09641 | + | 0.681165i | ||||
\(899\) | −5.75035 | − | 8.85477i | −0.191785 | − | 0.295323i | ||||
\(900\) | −3.41548 | − | 32.4962i | −0.113849 | − | 1.08321i | ||||
\(901\) | −28.1883 | − | 48.8236i | −0.939089 | − | 1.62655i | ||||
\(902\) | 2.24786 | + | 14.1691i | 0.0748457 | + | 0.471778i | ||||
\(903\) | 1.15679 | + | 0.309962i | 0.0384957 | + | 0.0103149i | ||||
\(904\) | −19.0117 | + | 7.29789i | −0.632318 | + | 0.242724i | ||||
\(905\) | 41.5009 | − | 81.4501i | 1.37954 | − | 2.70749i | ||||
\(906\) | −15.0804 | + | 3.20545i | −0.501014 | + | 0.106494i | ||||
\(907\) | 3.57239 | + | 8.02373i | 0.118619 | + | 0.266423i | 0.963091 | − | 0.269177i | \(-0.0867518\pi\) |
−0.844471 | + | 0.535601i | \(0.820085\pi\) | |||||||
\(908\) | −0.774968 | + | 2.01886i | −0.0257182 | + | 0.0669982i | ||||
\(909\) | −2.14637 | + | 6.60584i | −0.0711905 | + | 0.219102i | ||||
\(910\) | −2.50385 | + | 4.51641i | −0.0830020 | + | 0.149717i | ||||
\(911\) | −38.7625 | + | 28.1626i | −1.28426 | + | 0.933069i | −0.999673 | − | 0.0255810i | \(-0.991856\pi\) |
−0.284587 | + | 0.958650i | \(0.591856\pi\) | |||||||
\(912\) | 2.27377 | − | 0.609255i | 0.0752921 | − | 0.0201745i | ||||
\(913\) | 12.7521 | − | 5.68149i | 0.422032 | − | 0.188030i | ||||
\(914\) | −13.6977 | + | 7.90838i | −0.453080 | + | 0.261586i | ||||
\(915\) | 29.0889 | + | 4.60724i | 0.961651 | + | 0.152311i | ||||
\(916\) | 0.835276 | + | 15.9380i | 0.0275983 | + | 0.526607i | ||||
\(917\) | 1.64679 | + | 1.06944i | 0.0543818 | + | 0.0353159i | ||||
\(918\) | −2.54081 | − | 16.0420i | −0.0838592 | − | 0.529466i | ||||
\(919\) | 6.13870 | + | 0.645203i | 0.202497 | + | 0.0212833i | 0.205234 | − | 0.978713i | \(-0.434205\pi\) |
−0.00273689 | + | 0.999996i | \(0.500871\pi\) | |||||||
\(920\) | −29.5865 | − | 32.8591i | −0.975437 | − | 1.08333i | ||||
\(921\) | 0.118432 | − | 0.0769105i | 0.00390246 | − | 0.00253429i | ||||
\(922\) | −7.92454 | − | 10.9072i | −0.260981 | − | 0.359209i | ||||
\(923\) | 5.35031 | − | 17.4962i | 0.176108 | − | 0.575893i | ||||
\(924\) | −0.437420 | + | 1.34741i | −0.0143901 | + | 0.0443265i | ||||
\(925\) | −9.47822 | − | 35.3732i | −0.311642 | − | 1.16306i | ||||
\(926\) | −7.09635 | + | 0.745856i | −0.233200 | + | 0.0245103i | ||||
\(927\) | −2.14164 | − | 1.92835i | −0.0703408 | − | 0.0633352i | ||||
\(928\) | −5.66164 | − | 11.1116i | −0.185853 | − | 0.364756i | ||||
\(929\) | −30.8822 | − | 38.1364i | −1.01321 | − | 1.25121i | −0.967662 | − | 0.252251i | \(-0.918829\pi\) |
−0.0455509 | − | 0.998962i | \(-0.514504\pi\) | |||||||
\(930\) | 36.6259 | + | 45.2292i | 1.20101 | + | 1.48313i | ||||
\(931\) | −3.39859 | − | 6.67011i | −0.111384 | − | 0.218604i | ||||
\(932\) | −12.5236 | − | 11.2763i | −0.410224 | − | 0.369368i | ||||
\(933\) | 11.0640 | − | 1.16287i | 0.362218 | − | 0.0380706i | ||||
\(934\) | −13.5022 | − | 50.3908i | −0.441804 | − | 1.64884i | ||||
\(935\) | −98.2948 | + | 31.9656i | −3.21458 | + | 1.04539i | ||||
\(936\) | 1.53974 | − | 5.03513i | 0.0503279 | − | 0.164578i | ||||
\(937\) | −18.9973 | − | 26.1475i | −0.620613 | − | 0.854201i | 0.376784 | − | 0.926301i | \(-0.377030\pi\) |
−0.997397 | + | 0.0721002i | \(0.977030\pi\) | |||||||
\(938\) | 0.924046 | − | 0.600083i | 0.0301712 | − | 0.0195934i | ||||
\(939\) | 11.3759 | + | 12.6343i | 0.371240 | + | 0.412303i | ||||
\(940\) | −130.941 | − | 13.7624i | −4.27081 | − | 0.448880i | ||||
\(941\) | −2.81299 | − | 17.7605i | −0.0917009 | − | 0.578977i | −0.990162 | − | 0.139924i | \(-0.955314\pi\) |
0.898461 | − | 0.439053i | \(-0.144686\pi\) | |||||||
\(942\) | 27.9415 | + | 18.1454i | 0.910383 | + | 0.591210i | ||||
\(943\) | −0.764071 | − | 14.5793i | −0.0248816 | − | 0.474769i | ||||
\(944\) | 13.5986 | + | 2.15380i | 0.442596 | + | 0.0701003i | ||||
\(945\) | 0.573640 | − | 0.331191i | 0.0186605 | − | 0.0107737i | ||||
\(946\) | 5.63672 | + | 53.4986i | 0.183266 | + | 1.73939i | ||||
\(947\) | −6.13275 | + | 1.64327i | −0.199288 | + | 0.0533990i | −0.357082 | − | 0.934073i | \(-0.616228\pi\) |
0.157794 | + | 0.987472i | \(0.449562\pi\) | |||||||
\(948\) | −8.79241 | + | 6.38806i | −0.285564 | + | 0.207474i | ||||
\(949\) | 3.24371 | − | 5.85094i | 0.105295 | − | 0.189930i | ||||
\(950\) | 8.75917 | − | 26.9579i | 0.284185 | − | 0.874631i | ||||
\(951\) | 5.30491 | − | 13.8198i | 0.172023 | − | 0.448136i | ||||
\(952\) | 0.712315 | + | 1.59989i | 0.0230863 | + | 0.0518526i | ||||
\(953\) | 7.17071 | − | 1.52418i | 0.232282 | − | 0.0493731i | −0.0902999 | − | 0.995915i | \(-0.528783\pi\) |
0.322582 | + | 0.946542i | \(0.395449\pi\) | |||||||
\(954\) | −7.36754 | + | 14.4596i | −0.238533 | + | 0.468147i | ||||
\(955\) | −31.8127 | + | 12.2118i | −1.02944 | + | 0.395164i | ||||
\(956\) | −37.4035 | − | 10.0222i | −1.20972 | − | 0.324142i | ||||
\(957\) | −3.81770 | − | 3.81575i | −0.123409 | − | 0.123346i | ||||
\(958\) | 25.4800 | + | 44.1327i | 0.823223 | + | 1.42586i | ||||
\(959\) | −0.0880737 | − | 0.837965i | −0.00284405 | − | 0.0270593i | ||||
\(960\) | 27.5285 | + | 42.3902i | 0.888480 | + | 1.36814i | ||||
\(961\) | −10.5448 | − | 3.42621i | −0.340155 | − | 0.110523i | ||||
\(962\) | 3.25481 | − | 23.1487i | 0.104939 | − | 0.746343i | ||||
\(963\) | 6.56490 | − | 9.03581i | 0.211551 | − | 0.291175i | ||||
\(964\) | 3.88789 | − | 74.1854i | 0.125221 | − | 2.38935i | ||||
\(965\) | 5.75751 | − | 27.0870i | 0.185341 | − | 0.871960i | ||||
\(966\) | 1.02470 | − | 2.30152i | 0.0329692 | − | 0.0740501i | ||||
\(967\) | −43.1535 | − | 43.1535i | −1.38772 | − | 1.38772i | −0.830082 | − | 0.557641i | \(-0.811707\pi\) |
−0.557641 | − | 0.830082i | \(-0.688293\pi\) | |||||||
\(968\) | −16.0412 | + | 0.848887i | −0.515583 | + | 0.0272843i | ||||
\(969\) | 2.08673 | − | 7.78778i | 0.0670354 | − | 0.250180i | ||||
\(970\) | −18.6872 | + | 117.986i | −0.600011 | + | 3.78832i | ||||
\(971\) | 38.3326 | − | 42.5727i | 1.23015 | − | 1.36622i | 0.322463 | − | 0.946582i | \(-0.395489\pi\) |
0.907690 | − | 0.419641i | \(-0.137844\pi\) | |||||||
\(972\) | −1.98819 | + | 1.79017i | −0.0637712 | + | 0.0574198i | ||||
\(973\) | −1.62165 | − | 0.622492i | −0.0519876 | − | 0.0199562i | ||||
\(974\) | 37.8707 | + | 27.5147i | 1.21346 | + | 0.881627i | ||||
\(975\) | 28.3035 | + | 33.7351i | 0.906438 | + | 1.08039i | ||||
\(976\) | −14.8063 | + | 4.81086i | −0.473938 | + | 0.153992i | ||||
\(977\) | −1.37362 | − | 1.11233i | −0.0439459 | − | 0.0355867i | 0.607096 | − | 0.794629i | \(-0.292334\pi\) |
−0.651042 | + | 0.759042i | \(0.725668\pi\) | |||||||
\(978\) | −11.5880 | − | 6.69032i | −0.370543 | − | 0.213933i | ||||
\(979\) | 2.93216 | + | 5.07566i | 0.0937122 | + | 0.162219i | ||||
\(980\) | 54.7413 | − | 54.7413i | 1.74865 | − | 1.74865i | ||||
\(981\) | 0.451700 | + | 1.17672i | 0.0144217 | + | 0.0375697i | ||||
\(982\) | −51.6027 | + | 2.70438i | −1.64671 | + | 0.0863003i | ||||
\(983\) | −34.5693 | + | 17.6140i | −1.10259 | + | 0.561798i | −0.907951 | − | 0.419077i | \(-0.862354\pi\) |
−0.194640 | + | 0.980875i | \(0.562354\pi\) | |||||||
\(984\) | 0.305365 | − | 2.90536i | 0.00973469 | − | 0.0926194i | ||||
\(985\) | 20.4426 | − | 9.10161i | 0.651354 | − | 0.290001i | ||||
\(986\) | −26.3969 | − | 1.38340i | −0.840649 | − | 0.0440566i | ||||
\(987\) | −0.585198 | − | 1.80105i | −0.0186271 | − | 0.0573282i | ||||
\(988\) | 6.79311 | − | 7.81359i | 0.216118 | − | 0.248583i | ||||
\(989\) | − | 54.7437i | − | 1.74075i | ||||||
\(990\) | 23.1275 | + | 18.7185i | 0.735041 | + | 0.594914i | ||||
\(991\) | 2.12476 | − | 3.68020i | 0.0674953 | − | 0.116905i | −0.830303 | − | 0.557312i | \(-0.811833\pi\) |
0.897798 | + | 0.440407i | \(0.145166\pi\) | |||||||
\(992\) | −45.4143 | − | 20.2198i | −1.44191 | − | 0.641978i | ||||
\(993\) | 7.49437 | + | 3.81857i | 0.237827 | + | 0.121179i | ||||
\(994\) | 0.954062 | − | 1.46913i | 0.0302610 | − | 0.0465979i | ||||
\(995\) | −21.5423 | + | 17.4446i | −0.682938 | + | 0.553032i | ||||
\(996\) | −11.1226 | + | 1.76165i | −0.352434 | + | 0.0558201i | ||||
\(997\) | −1.23937 | − | 5.83076i | −0.0392512 | − | 0.184662i | 0.954155 | − | 0.299314i | \(-0.0967580\pi\) |
−0.993406 | + | 0.114652i | \(0.963425\pi\) | |||||||
\(998\) | −75.2584 | − | 15.9967i | −2.38226 | − | 0.506365i | ||||
\(999\) | −1.88699 | + | 2.33023i | −0.0597016 | + | 0.0737254i |
(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 | 429.2.bs.b.19.3 | ✓ | 224 | |
11.7 | odd | 10 | inner | 429.2.bs.b.370.12 | yes | 224 | |
13.11 | odd | 12 | inner | 429.2.bs.b.349.12 | yes | 224 | |
143.128 | even | 60 | inner | 429.2.bs.b.271.3 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.bs.b.19.3 | ✓ | 224 | 1.1 | even | 1 | trivial | |
429.2.bs.b.271.3 | yes | 224 | 143.128 | even | 60 | inner | |
429.2.bs.b.349.12 | yes | 224 | 13.11 | odd | 12 | inner | |
429.2.bs.b.370.12 | yes | 224 | 11.7 | odd | 10 | inner |