Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [525,2,Mod(106,525)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(525, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 4, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("525.106");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 525 = 3 \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 525.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.19214610612\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 8 x^{19} + 31 x^{18} - 74 x^{17} + 109 x^{16} - 72 x^{15} - 51 x^{14} + 9 x^{13} + 866 x^{12} - 3240 x^{11} + 6385 x^{10} - 6775 x^{9} + 330 x^{8} + 11325 x^{7} - 18525 x^{6} + \cdots + 3125 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 5^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 316.3 | ||
Root | \(0.670843 - 1.77989i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 525.316 |
Dual form | 525.2.n.b.211.3 |
$q$-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 \(\left(\mathbb{Z}/525\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(176\) | \(451\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.140253 | + | 0.101900i | 0.0991737 | + | 0.0720539i | 0.636267 | − | 0.771469i | \(-0.280478\pi\) |
−0.537093 | + | 0.843523i | \(0.680478\pi\) | |||||||
\(3\) | −0.309017 | − | 0.951057i | −0.178411 | − | 0.549093i | ||||
\(4\) | −0.608747 | − | 1.87353i | −0.304373 | − | 0.936765i | ||||
\(5\) | −0.103443 | + | 2.23367i | −0.0462613 | + | 0.998929i | ||||
\(6\) | 0.0535718 | − | 0.164877i | 0.0218706 | − | 0.0673108i | ||||
\(7\) | −1.00000 | −0.377964 | ||||||||
\(8\) | 0.212677 | − | 0.654553i | 0.0751927 | − | 0.231419i | ||||
\(9\) | −0.809017 | + | 0.587785i | −0.269672 | + | 0.195928i | ||||
\(10\) | −0.242119 | + | 0.302738i | −0.0765647 | + | 0.0957342i | ||||
\(11\) | −3.98347 | − | 2.89416i | −1.20106 | − | 0.872622i | −0.206673 | − | 0.978410i | \(-0.566264\pi\) |
−0.994389 | + | 0.105788i | \(0.966264\pi\) | |||||||
\(12\) | −1.59372 | + | 1.15790i | −0.460067 | + | 0.334258i | ||||
\(13\) | −3.12241 | + | 2.26857i | −0.866001 | + | 0.629187i | −0.929511 | − | 0.368794i | \(-0.879771\pi\) |
0.0635096 | + | 0.997981i | \(0.479771\pi\) | |||||||
\(14\) | −0.140253 | − | 0.101900i | −0.0374841 | − | 0.0272338i | ||||
\(15\) | 2.15632 | − | 0.591863i | 0.556758 | − | 0.152818i | ||||
\(16\) | −3.09091 | + | 2.24568i | −0.772728 | + | 0.561420i | ||||
\(17\) | 1.66834 | − | 5.13463i | 0.404632 | − | 1.24533i | −0.516569 | − | 0.856245i | \(-0.672791\pi\) |
0.921202 | − | 0.389085i | \(-0.127209\pi\) | |||||||
\(18\) | −0.173362 | −0.0408618 | ||||||||
\(19\) | −1.78685 | + | 5.49935i | −0.409931 | + | 1.26164i | 0.506776 | + | 0.862078i | \(0.330837\pi\) |
−0.916707 | + | 0.399560i | \(0.869163\pi\) | |||||||
\(20\) | 4.24783 | − | 1.16594i | 0.949843 | − | 0.260712i | ||||
\(21\) | 0.309017 | + | 0.951057i | 0.0674330 | + | 0.207538i | ||||
\(22\) | −0.263779 | − | 0.811828i | −0.0562379 | − | 0.173082i | ||||
\(23\) | −0.272132 | − | 0.197715i | −0.0567434 | − | 0.0412265i | 0.559052 | − | 0.829133i | \(-0.311165\pi\) |
−0.615795 | + | 0.787906i | \(0.711165\pi\) | |||||||
\(24\) | −0.688238 | −0.140486 | ||||||||
\(25\) | −4.97860 | − | 0.462118i | −0.995720 | − | 0.0924236i | ||||
\(26\) | −0.669093 | −0.131220 | ||||||||
\(27\) | 0.809017 | + | 0.587785i | 0.155695 | + | 0.113119i | ||||
\(28\) | 0.608747 | + | 1.87353i | 0.115042 | + | 0.354064i | ||||
\(29\) | −0.417431 | − | 1.28472i | −0.0775150 | − | 0.238567i | 0.904789 | − | 0.425860i | \(-0.140028\pi\) |
−0.982304 | + | 0.187294i | \(0.940028\pi\) | |||||||
\(30\) | 0.362740 | + | 0.136717i | 0.0662269 | + | 0.0249611i | ||||
\(31\) | −0.343308 | + | 1.05659i | −0.0616599 | + | 0.189770i | −0.977141 | − | 0.212590i | \(-0.931810\pi\) |
0.915481 | + | 0.402360i | \(0.131810\pi\) | |||||||
\(32\) | −2.03882 | −0.360415 | ||||||||
\(33\) | −1.52155 | + | 4.68285i | −0.264868 | + | 0.815180i | ||||
\(34\) | 0.757206 | − | 0.550143i | 0.129860 | − | 0.0943487i | ||||
\(35\) | 0.103443 | − | 2.23367i | 0.0174851 | − | 0.377560i | ||||
\(36\) | 1.59372 | + | 1.15790i | 0.265620 | + | 0.192984i | ||||
\(37\) | 3.76515 | − | 2.73554i | 0.618987 | − | 0.449721i | −0.233580 | − | 0.972338i | \(-0.575044\pi\) |
0.852568 | + | 0.522617i | \(0.175044\pi\) | |||||||
\(38\) | −0.810992 | + | 0.589220i | −0.131560 | + | 0.0955841i | ||||
\(39\) | 3.12241 | + | 2.26857i | 0.499986 | + | 0.363261i | ||||
\(40\) | 1.44006 | + | 0.542760i | 0.227693 | + | 0.0858180i | ||||
\(41\) | −8.43156 | + | 6.12589i | −1.31679 | + | 0.956703i | −0.316822 | + | 0.948485i | \(0.602616\pi\) |
−0.999966 | + | 0.00821814i | \(0.997384\pi\) | |||||||
\(42\) | −0.0535718 | + | 0.164877i | −0.00826631 | + | 0.0254411i | ||||
\(43\) | −12.9331 | −1.97228 | −0.986138 | − | 0.165926i | \(-0.946939\pi\) | ||||
−0.986138 | + | 0.165926i | \(0.946939\pi\) | |||||||
\(44\) | −2.99737 | + | 9.22496i | −0.451871 | + | 1.39072i | ||||
\(45\) | −1.22923 | − | 1.86788i | −0.183243 | − | 0.278448i | ||||
\(46\) | −0.0180201 | − | 0.0554602i | −0.00265692 | − | 0.00817716i | ||||
\(47\) | −2.99015 | − | 9.20273i | −0.436158 | − | 1.34236i | −0.891895 | − | 0.452242i | \(-0.850624\pi\) |
0.455737 | − | 0.890114i | \(-0.349376\pi\) | |||||||
\(48\) | 3.09091 | + | 2.24568i | 0.446135 | + | 0.324136i | ||||
\(49\) | 1.00000 | 0.142857 | ||||||||
\(50\) | −0.651173 | − | 0.572131i | −0.0920897 | − | 0.0809115i | ||||
\(51\) | −5.39887 | −0.755993 | ||||||||
\(52\) | 6.15098 | + | 4.46895i | 0.852988 | + | 0.619732i | ||||
\(53\) | 1.75047 | + | 5.38738i | 0.240445 | + | 0.740013i | 0.996352 | + | 0.0853349i | \(0.0271960\pi\) |
−0.755907 | + | 0.654679i | \(0.772804\pi\) | |||||||
\(54\) | 0.0535718 | + | 0.164877i | 0.00729020 | + | 0.0224369i | ||||
\(55\) | 6.87668 | − | 8.59839i | 0.927251 | − | 1.15941i | ||||
\(56\) | −0.212677 | + | 0.654553i | −0.0284202 | + | 0.0874683i | ||||
\(57\) | 5.78236 | 0.765892 | ||||||||
\(58\) | 0.0723666 | − | 0.222722i | 0.00950220 | − | 0.0292448i | ||||
\(59\) | 7.51633 | − | 5.46094i | 0.978543 | − | 0.710953i | 0.0211607 | − | 0.999776i | \(-0.493264\pi\) |
0.957383 | + | 0.288823i | \(0.0932638\pi\) | |||||||
\(60\) | −2.42152 | − | 3.67963i | −0.312617 | − | 0.475038i | ||||
\(61\) | 11.2981 | + | 8.20855i | 1.44657 | + | 1.05100i | 0.986617 | + | 0.163057i | \(0.0521353\pi\) |
0.459957 | + | 0.887941i | \(0.347865\pi\) | |||||||
\(62\) | −0.155816 | + | 0.113207i | −0.0197887 | + | 0.0143773i | ||||
\(63\) | 0.809017 | − | 0.587785i | 0.101927 | − | 0.0740540i | ||||
\(64\) | 5.89587 | + | 4.28360i | 0.736984 | + | 0.535450i | ||||
\(65\) | −4.74424 | − | 7.20912i | −0.588451 | − | 0.894181i | ||||
\(66\) | −0.690582 | + | 0.501737i | −0.0850048 | + | 0.0617596i | ||||
\(67\) | 1.34247 | − | 4.13171i | 0.164009 | − | 0.504769i | −0.834953 | − | 0.550322i | \(-0.814505\pi\) |
0.998962 | + | 0.0455530i | \(0.0145050\pi\) | |||||||
\(68\) | −10.6355 | −1.28974 | ||||||||
\(69\) | −0.103945 | + | 0.319910i | −0.0125135 | + | 0.0385126i | ||||
\(70\) | 0.242119 | − | 0.302738i | 0.0289387 | − | 0.0361841i | ||||
\(71\) | −2.22269 | − | 6.84074i | −0.263785 | − | 0.811846i | −0.991971 | − | 0.126467i | \(-0.959636\pi\) |
0.728186 | − | 0.685380i | \(-0.240364\pi\) | |||||||
\(72\) | 0.212677 | + | 0.654553i | 0.0250642 | + | 0.0771398i | ||||
\(73\) | −3.13204 | − | 2.27556i | −0.366577 | − | 0.266334i | 0.389213 | − | 0.921148i | \(-0.372747\pi\) |
−0.755790 | + | 0.654814i | \(0.772747\pi\) | |||||||
\(74\) | 0.806824 | 0.0937914 | ||||||||
\(75\) | 1.09897 | + | 4.87773i | 0.126898 | + | 0.563232i | ||||
\(76\) | 11.3909 | 1.30663 | ||||||||
\(77\) | 3.98347 | + | 2.89416i | 0.453959 | + | 0.329820i | ||||
\(78\) | 0.206761 | + | 0.636345i | 0.0234111 | + | 0.0720519i | ||||
\(79\) | −2.05233 | − | 6.31641i | −0.230905 | − | 0.710652i | −0.997638 | − | 0.0686864i | \(-0.978119\pi\) |
0.766733 | − | 0.641966i | \(-0.221881\pi\) | |||||||
\(80\) | −4.69638 | − | 7.13639i | −0.525071 | − | 0.797873i | ||||
\(81\) | 0.309017 | − | 0.951057i | 0.0343352 | − | 0.105673i | ||||
\(82\) | −1.80678 | −0.199525 | ||||||||
\(83\) | 3.87703 | − | 11.9323i | 0.425559 | − | 1.30974i | −0.476898 | − | 0.878958i | \(-0.658239\pi\) |
0.902458 | − | 0.430778i | \(-0.141761\pi\) | |||||||
\(84\) | 1.59372 | − | 1.15790i | 0.173889 | − | 0.126338i | ||||
\(85\) | 11.2965 | + | 4.25768i | 1.22528 | + | 0.461810i | ||||
\(86\) | −1.81390 | − | 1.31788i | −0.195598 | − | 0.142110i | ||||
\(87\) | −1.09285 | + | 0.794001i | −0.117166 | + | 0.0851258i | ||||
\(88\) | −2.74157 | + | 1.99187i | −0.292253 | + | 0.212334i | ||||
\(89\) | −0.344926 | − | 0.250603i | −0.0365621 | − | 0.0265639i | 0.569354 | − | 0.822092i | \(-0.307193\pi\) |
−0.605916 | + | 0.795528i | \(0.707193\pi\) | |||||||
\(90\) | 0.0179332 | − | 0.387234i | 0.00189032 | − | 0.0408181i | ||||
\(91\) | 3.12241 | − | 2.26857i | 0.327318 | − | 0.237810i | ||||
\(92\) | −0.204766 | + | 0.630205i | −0.0213483 | + | 0.0657034i | ||||
\(93\) | 1.11097 | 0.115202 | ||||||||
\(94\) | 0.518378 | − | 1.59540i | 0.0534666 | − | 0.164553i | ||||
\(95\) | −12.0989 | − | 4.56011i | −1.24132 | − | 0.467857i | ||||
\(96\) | 0.630029 | + | 1.93903i | 0.0643021 | + | 0.197902i | ||||
\(97\) | −0.998049 | − | 3.07168i | −0.101337 | − | 0.311882i | 0.887517 | − | 0.460776i | \(-0.152429\pi\) |
−0.988853 | + | 0.148894i | \(0.952429\pi\) | |||||||
\(98\) | 0.140253 | + | 0.101900i | 0.0141677 | + | 0.0102934i | ||||
\(99\) | 4.92384 | 0.494865 | ||||||||
\(100\) | 2.16491 | + | 9.60887i | 0.216491 | + | 0.960887i | ||||
\(101\) | 8.33213 | 0.829078 | 0.414539 | − | 0.910031i | \(-0.363943\pi\) | ||||
0.414539 | + | 0.910031i | \(0.363943\pi\) | |||||||
\(102\) | −0.757206 | − | 0.550143i | −0.0749746 | − | 0.0544722i | ||||
\(103\) | −5.05572 | − | 15.5599i | −0.498155 | − | 1.53316i | −0.811981 | − | 0.583683i | \(-0.801611\pi\) |
0.313826 | − | 0.949480i | \(-0.398389\pi\) | |||||||
\(104\) | 0.820830 | + | 2.52626i | 0.0804890 | + | 0.247720i | ||||
\(105\) | −2.15632 | + | 0.591863i | −0.210435 | + | 0.0577599i | ||||
\(106\) | −0.303464 | + | 0.933967i | −0.0294750 | + | 0.0907149i | ||||
\(107\) | 11.7307 | 1.13405 | 0.567025 | − | 0.823701i | \(-0.308094\pi\) | ||||
0.567025 | + | 0.823701i | \(0.308094\pi\) | |||||||
\(108\) | 0.608747 | − | 1.87353i | 0.0585767 | − | 0.180280i | ||||
\(109\) | −6.97950 | + | 5.07090i | −0.668514 | + | 0.485704i | −0.869528 | − | 0.493884i | \(-0.835577\pi\) |
0.201013 | + | 0.979589i | \(0.435577\pi\) | |||||||
\(110\) | 1.84065 | − | 0.505218i | 0.175499 | − | 0.0481706i | ||||
\(111\) | −3.76515 | − | 2.73554i | −0.357373 | − | 0.259646i | ||||
\(112\) | 3.09091 | − | 2.24568i | 0.292064 | − | 0.212197i | ||||
\(113\) | 1.11215 | − | 0.808027i | 0.104623 | − | 0.0760128i | −0.534244 | − | 0.845330i | \(-0.679404\pi\) |
0.638867 | + | 0.769318i | \(0.279404\pi\) | |||||||
\(114\) | 0.810992 | + | 0.589220i | 0.0759564 | + | 0.0551855i | ||||
\(115\) | 0.469781 | − | 0.587401i | 0.0438074 | − | 0.0547754i | ||||
\(116\) | −2.15285 | + | 1.56414i | −0.199887 | + | 0.145227i | ||||
\(117\) | 1.19266 | − | 3.67062i | 0.110261 | − | 0.339349i | ||||
\(118\) | 1.61065 | 0.148273 | ||||||||
\(119\) | −1.66834 | + | 5.13463i | −0.152937 | + | 0.470691i | ||||
\(120\) | 0.0711936 | − | 1.53730i | 0.00649906 | − | 0.140335i | ||||
\(121\) | 4.09269 | + | 12.5960i | 0.372062 | + | 1.14509i | ||||
\(122\) | 0.748142 | + | 2.30254i | 0.0677336 | + | 0.208463i | ||||
\(123\) | 8.43156 | + | 6.12589i | 0.760248 | + | 0.552353i | ||||
\(124\) | 2.18855 | 0.196537 | ||||||||
\(125\) | 1.54722 | − | 11.0728i | 0.138388 | − | 0.990378i | ||||
\(126\) | 0.173362 | 0.0154443 | ||||||||
\(127\) | 5.59588 | + | 4.06564i | 0.496554 | + | 0.360767i | 0.807699 | − | 0.589595i | \(-0.200713\pi\) |
−0.311145 | + | 0.950362i | \(0.600713\pi\) | |||||||
\(128\) | 1.65047 | + | 5.07964i | 0.145883 | + | 0.448981i | ||||
\(129\) | 3.99654 | + | 12.3001i | 0.351876 | + | 1.08296i | ||||
\(130\) | 0.0692133 | − | 1.49454i | 0.00607040 | − | 0.131079i | ||||
\(131\) | −1.66853 | + | 5.13521i | −0.145780 | + | 0.448665i | −0.997110 | − | 0.0759648i | \(-0.975796\pi\) |
0.851330 | + | 0.524630i | \(0.175796\pi\) | |||||||
\(132\) | 9.69970 | 0.844250 | ||||||||
\(133\) | 1.78685 | − | 5.49935i | 0.154939 | − | 0.476854i | ||||
\(134\) | 0.609306 | − | 0.442686i | 0.0526360 | − | 0.0382423i | ||||
\(135\) | −1.39661 | + | 1.74628i | −0.120201 | + | 0.150296i | ||||
\(136\) | −3.00607 | − | 2.18404i | −0.257768 | − | 0.187280i | ||||
\(137\) | −6.56538 | + | 4.77003i | −0.560918 | + | 0.407531i | −0.831795 | − | 0.555083i | \(-0.812686\pi\) |
0.270877 | + | 0.962614i | \(0.412686\pi\) | |||||||
\(138\) | −0.0471773 | + | 0.0342763i | −0.00401600 | + | 0.00291779i | ||||
\(139\) | 7.27751 | + | 5.28742i | 0.617270 | + | 0.448473i | 0.851967 | − | 0.523596i | \(-0.175410\pi\) |
−0.234697 | + | 0.972069i | \(0.575410\pi\) | |||||||
\(140\) | −4.24783 | + | 1.16594i | −0.359007 | + | 0.0985397i | ||||
\(141\) | −7.82831 | + | 5.68760i | −0.659263 | + | 0.478982i | ||||
\(142\) | 0.385330 | − | 1.18592i | 0.0323362 | − | 0.0995205i | ||||
\(143\) | 19.0036 | 1.58916 | ||||||||
\(144\) | 1.18062 | − | 3.63358i | 0.0983853 | − | 0.302799i | ||||
\(145\) | 2.91283 | − | 0.799509i | 0.241897 | − | 0.0663956i | ||||
\(146\) | −0.207399 | − | 0.638307i | −0.0171644 | − | 0.0528267i | ||||
\(147\) | −0.309017 | − | 0.951057i | −0.0254873 | − | 0.0784418i | ||||
\(148\) | −7.41715 | − | 5.38887i | −0.609686 | − | 0.442963i | ||||
\(149\) | −2.58958 | −0.212146 | −0.106073 | − | 0.994358i | \(-0.533828\pi\) | ||||
−0.106073 | + | 0.994358i | \(0.533828\pi\) | |||||||
\(150\) | −0.342905 | + | 0.796100i | −0.0279981 | + | 0.0650013i | ||||
\(151\) | −21.1746 | −1.72316 | −0.861581 | − | 0.507621i | \(-0.830525\pi\) | ||||
−0.861581 | + | 0.507621i | \(0.830525\pi\) | |||||||
\(152\) | 3.21959 | + | 2.33917i | 0.261144 | + | 0.189732i | ||||
\(153\) | 1.66834 | + | 5.13463i | 0.134877 | + | 0.415110i | ||||
\(154\) | 0.263779 | + | 0.811828i | 0.0212559 | + | 0.0654190i | ||||
\(155\) | −2.32457 | − | 0.876135i | −0.186714 | − | 0.0703729i | ||||
\(156\) | 2.34947 | − | 7.23091i | 0.188108 | − | 0.578936i | ||||
\(157\) | 7.69863 | 0.614418 | 0.307209 | − | 0.951642i | \(-0.400605\pi\) | ||||
0.307209 | + | 0.951642i | \(0.400605\pi\) | |||||||
\(158\) | 0.355795 | − | 1.09503i | 0.0283056 | − | 0.0871156i | ||||
\(159\) | 4.58278 | − | 3.32958i | 0.363438 | − | 0.264053i | ||||
\(160\) | 0.210902 | − | 4.55405i | 0.0166733 | − | 0.360030i | ||||
\(161\) | 0.272132 | + | 0.197715i | 0.0214470 | + | 0.0155821i | ||||
\(162\) | 0.140253 | − | 0.101900i | 0.0110193 | − | 0.00800599i | ||||
\(163\) | −6.87462 | + | 4.99470i | −0.538461 | + | 0.391215i | −0.823513 | − | 0.567297i | \(-0.807989\pi\) |
0.285052 | + | 0.958512i | \(0.407989\pi\) | |||||||
\(164\) | 16.6097 | + | 12.0677i | 1.29700 | + | 0.942326i | ||||
\(165\) | −10.3026 | − | 3.88306i | −0.802054 | − | 0.302296i | ||||
\(166\) | 1.75966 | − | 1.27847i | 0.136576 | − | 0.0992282i | ||||
\(167\) | 1.15615 | − | 3.55826i | 0.0894655 | − | 0.275347i | −0.896306 | − | 0.443435i | \(-0.853760\pi\) |
0.985772 | + | 0.168089i | \(0.0537595\pi\) | |||||||
\(168\) | 0.688238 | 0.0530987 | ||||||||
\(169\) | 0.585850 | − | 1.80306i | 0.0450654 | − | 0.138697i | ||||
\(170\) | 1.15051 | + | 1.74826i | 0.0882402 | + | 0.134085i | ||||
\(171\) | −1.78685 | − | 5.49935i | −0.136644 | − | 0.420546i | ||||
\(172\) | 7.87297 | + | 24.2305i | 0.600308 | + | 1.84756i | ||||
\(173\) | −17.7348 | − | 12.8851i | −1.34836 | − | 0.979637i | −0.999092 | − | 0.0426128i | \(-0.986432\pi\) |
−0.349263 | − | 0.937025i | \(-0.613568\pi\) | |||||||
\(174\) | −0.234183 | −0.0177534 | ||||||||
\(175\) | 4.97860 | + | 0.462118i | 0.376347 | + | 0.0349328i | ||||
\(176\) | 18.8119 | 1.41800 | ||||||||
\(177\) | −7.51633 | − | 5.46094i | −0.564962 | − | 0.410469i | ||||
\(178\) | −0.0228404 | − | 0.0702957i | −0.00171196 | − | 0.00526888i | ||||
\(179\) | 1.34174 | + | 4.12946i | 0.100287 | + | 0.308650i | 0.988595 | − | 0.150596i | \(-0.0481194\pi\) |
−0.888309 | + | 0.459247i | \(0.848119\pi\) | |||||||
\(180\) | −2.75124 | + | 3.44007i | −0.205065 | + | 0.256408i | ||||
\(181\) | −2.66192 | + | 8.19255i | −0.197859 | + | 0.608947i | 0.802072 | + | 0.597227i | \(0.203731\pi\) |
−0.999931 | + | 0.0117203i | \(0.996269\pi\) | |||||||
\(182\) | 0.669093 | 0.0495965 | ||||||||
\(183\) | 4.31549 | − | 13.2817i | 0.319010 | − | 0.981813i | ||||
\(184\) | −0.187291 | + | 0.136075i | −0.0138073 | + | 0.0100316i | ||||
\(185\) | 5.72083 | + | 8.69310i | 0.420604 | + | 0.639129i | ||||
\(186\) | 0.155816 | + | 0.113207i | 0.0114250 | + | 0.00830075i | ||||
\(187\) | −21.5062 | + | 15.6252i | −1.57269 | + | 1.14263i | ||||
\(188\) | −15.4213 | + | 11.2043i | −1.12472 | + | 0.817155i | ||||
\(189\) | −0.809017 | − | 0.587785i | −0.0588473 | − | 0.0427551i | ||||
\(190\) | −1.23223 | − | 1.87244i | −0.0893956 | − | 0.135841i | ||||
\(191\) | −2.61655 | + | 1.90103i | −0.189327 | + | 0.137554i | −0.678411 | − | 0.734683i | \(-0.737331\pi\) |
0.489084 | + | 0.872237i | \(0.337331\pi\) | |||||||
\(192\) | 2.25202 | − | 6.93102i | 0.162526 | − | 0.500203i | ||||
\(193\) | −19.4993 | −1.40359 | −0.701795 | − | 0.712379i | \(-0.747618\pi\) | ||||
−0.701795 | + | 0.712379i | \(0.747618\pi\) | |||||||
\(194\) | 0.173024 | − | 0.532512i | 0.0124224 | − | 0.0382322i | ||||
\(195\) | −5.39023 | + | 6.73978i | −0.386002 | + | 0.482646i | ||||
\(196\) | −0.608747 | − | 1.87353i | −0.0434819 | − | 0.133824i | ||||
\(197\) | −5.18757 | − | 15.9657i | −0.369599 | − | 1.13751i | −0.947051 | − | 0.321084i | \(-0.895953\pi\) |
0.577452 | − | 0.816425i | \(-0.304047\pi\) | |||||||
\(198\) | 0.690582 | + | 0.501737i | 0.0490775 | + | 0.0356569i | ||||
\(199\) | 1.51751 | 0.107573 | 0.0537867 | − | 0.998552i | \(-0.482871\pi\) | ||||
0.0537867 | + | 0.998552i | \(0.482871\pi\) | |||||||
\(200\) | −1.36131 | + | 3.16047i | −0.0962595 | + | 0.223479i | ||||
\(201\) | −4.34434 | −0.306426 | ||||||||
\(202\) | 1.16860 | + | 0.849041i | 0.0822227 | + | 0.0597383i | ||||
\(203\) | 0.417431 | + | 1.28472i | 0.0292979 | + | 0.0901697i | ||||
\(204\) | 3.28654 | + | 10.1149i | 0.230104 | + | 0.708188i | ||||
\(205\) | −12.8110 | − | 19.4670i | −0.894762 | − | 1.35964i | ||||
\(206\) | 0.876470 | − | 2.69750i | 0.0610666 | − | 0.187944i | ||||
\(207\) | 0.336373 | 0.0233796 | ||||||||
\(208\) | 4.55663 | − | 14.0239i | 0.315946 | − | 0.972381i | ||||
\(209\) | 23.0339 | − | 16.7351i | 1.59329 | − | 1.15759i | ||||
\(210\) | −0.362740 | − | 0.136717i | −0.0250314 | − | 0.00943439i | ||||
\(211\) | 18.3991 | + | 13.3677i | 1.26664 | + | 0.920270i | 0.999064 | − | 0.0432655i | \(-0.0137761\pi\) |
0.267580 | + | 0.963536i | \(0.413776\pi\) | |||||||
\(212\) | 9.02783 | − | 6.55910i | 0.620034 | − | 0.450481i | ||||
\(213\) | −5.81908 | + | 4.22781i | −0.398717 | + | 0.289685i | ||||
\(214\) | 1.64526 | + | 1.19535i | 0.112468 | + | 0.0817127i | ||||
\(215\) | 1.33784 | − | 28.8883i | 0.0912401 | − | 1.97016i | ||||
\(216\) | 0.556796 | − | 0.404536i | 0.0378852 | − | 0.0275252i | ||||
\(217\) | 0.343308 | − | 1.05659i | 0.0233053 | − | 0.0717262i | ||||
\(218\) | −1.49562 | −0.101296 | ||||||||
\(219\) | −1.19633 | + | 3.68193i | −0.0808407 | + | 0.248802i | ||||
\(220\) | −20.2955 | − | 7.64941i | −1.36832 | − | 0.515723i | ||||
\(221\) | 6.43899 | + | 19.8172i | 0.433133 | + | 1.33305i | ||||
\(222\) | −0.249322 | − | 0.767335i | −0.0167334 | − | 0.0515002i | ||||
\(223\) | 18.1226 | + | 13.1669i | 1.21358 | + | 0.881718i | 0.995551 | − | 0.0942242i | \(-0.0300370\pi\) |
0.218030 | + | 0.975942i | \(0.430037\pi\) | |||||||
\(224\) | 2.03882 | 0.136224 | ||||||||
\(225\) | 4.29940 | − | 2.55249i | 0.286626 | − | 0.170166i | ||||
\(226\) | 0.238320 | 0.0158528 | ||||||||
\(227\) | 7.08145 | + | 5.14497i | 0.470012 | + | 0.341484i | 0.797446 | − | 0.603390i | \(-0.206184\pi\) |
−0.327434 | + | 0.944874i | \(0.606184\pi\) | |||||||
\(228\) | −3.51999 | − | 10.8334i | −0.233117 | − | 0.717461i | ||||
\(229\) | −3.29835 | − | 10.1513i | −0.217961 | − | 0.670816i | −0.998930 | − | 0.0462458i | \(-0.985274\pi\) |
0.780969 | − | 0.624570i | \(-0.214726\pi\) | |||||||
\(230\) | 0.125744 | − | 0.0345141i | 0.00829132 | − | 0.00227579i | ||||
\(231\) | 1.52155 | − | 4.68285i | 0.100111 | − | 0.308109i | ||||
\(232\) | −0.929695 | −0.0610375 | ||||||||
\(233\) | −2.45494 | + | 7.55554i | −0.160829 | + | 0.494980i | −0.998705 | − | 0.0508807i | \(-0.983797\pi\) |
0.837876 | + | 0.545861i | \(0.183797\pi\) | |||||||
\(234\) | 0.541308 | − | 0.393283i | 0.0353864 | − | 0.0257097i | ||||
\(235\) | 20.8652 | − | 5.72706i | 1.36110 | − | 0.373592i | ||||
\(236\) | −14.8068 | − | 10.7577i | −0.963839 | − | 0.700270i | ||||
\(237\) | −5.37306 | + | 3.90376i | −0.349018 | + | 0.253576i | ||||
\(238\) | −0.757206 | + | 0.550143i | −0.0490824 | + | 0.0356604i | ||||
\(239\) | −23.6624 | − | 17.1918i | −1.53060 | − | 1.11204i | −0.955907 | − | 0.293670i | \(-0.905123\pi\) |
−0.574688 | − | 0.818372i | \(-0.694877\pi\) | |||||||
\(240\) | −5.33585 | + | 6.67179i | −0.344428 | + | 0.430662i | ||||
\(241\) | −14.5962 | + | 10.6048i | −0.940227 | + | 0.683115i | −0.948475 | − | 0.316851i | \(-0.897374\pi\) |
0.00824862 | + | 0.999966i | \(0.497374\pi\) | |||||||
\(242\) | −0.709516 | + | 2.18367i | −0.0456094 | + | 0.140371i | ||||
\(243\) | −1.00000 | −0.0641500 | ||||||||
\(244\) | 8.50128 | − | 26.1643i | 0.544239 | − | 1.67500i | ||||
\(245\) | −0.103443 | + | 2.23367i | −0.00660876 | + | 0.142704i | ||||
\(246\) | 0.558324 | + | 1.71835i | 0.0355975 | + | 0.109558i | ||||
\(247\) | −6.89636 | − | 21.2248i | −0.438805 | − | 1.35050i | ||||
\(248\) | 0.618582 | + | 0.449426i | 0.0392800 | + | 0.0285386i | ||||
\(249\) | −12.5463 | −0.795091 | ||||||||
\(250\) | 1.34531 | − | 1.39532i | 0.0850850 | − | 0.0882481i | ||||
\(251\) | −28.6358 | −1.80747 | −0.903737 | − | 0.428089i | \(-0.859187\pi\) | ||||
−0.903737 | + | 0.428089i | \(0.859187\pi\) | |||||||
\(252\) | −1.59372 | − | 1.15790i | −0.100395 | − | 0.0729412i | ||||
\(253\) | 0.511809 | + | 1.57519i | 0.0321771 | + | 0.0990311i | ||||
\(254\) | 0.370550 | + | 1.14044i | 0.0232504 | + | 0.0715573i | ||||
\(255\) | 0.558478 | − | 12.0593i | 0.0349732 | − | 0.755184i | ||||
\(256\) | 4.21792 | − | 12.9814i | 0.263620 | − | 0.811338i | ||||
\(257\) | 7.06752 | 0.440860 | 0.220430 | − | 0.975403i | \(-0.429254\pi\) | ||||
0.220430 | + | 0.975403i | \(0.429254\pi\) | |||||||
\(258\) | −0.692848 | + | 2.13237i | −0.0431349 | + | 0.132755i | ||||
\(259\) | −3.76515 | + | 2.73554i | −0.233955 | + | 0.169978i | ||||
\(260\) | −10.6185 | + | 13.2770i | −0.658529 | + | 0.823405i | ||||
\(261\) | 1.09285 | + | 0.794001i | 0.0676456 | + | 0.0491474i | ||||
\(262\) | −0.757292 | + | 0.550204i | −0.0467856 | + | 0.0339917i | ||||
\(263\) | −2.62924 | + | 1.91025i | −0.162126 | + | 0.117791i | −0.665890 | − | 0.746050i | \(-0.731948\pi\) |
0.503764 | + | 0.863841i | \(0.331948\pi\) | |||||||
\(264\) | 2.74157 | + | 1.99187i | 0.168732 | + | 0.122591i | ||||
\(265\) | −12.2147 | + | 3.35268i | −0.750345 | + | 0.205954i | ||||
\(266\) | 0.810992 | − | 0.589220i | 0.0497251 | − | 0.0361274i | ||||
\(267\) | −0.131750 | + | 0.405485i | −0.00806297 | + | 0.0248153i | ||||
\(268\) | −8.55811 | −0.522770 | ||||||||
\(269\) | −8.47667 | + | 26.0885i | −0.516832 | + | 1.59065i | 0.263092 | + | 0.964771i | \(0.415258\pi\) |
−0.779924 | + | 0.625874i | \(0.784742\pi\) | |||||||
\(270\) | −0.373823 | + | 0.102606i | −0.0227502 | + | 0.00624443i | ||||
\(271\) | 7.01585 | + | 21.5926i | 0.426183 | + | 1.31166i | 0.901857 | + | 0.432034i | \(0.142204\pi\) |
−0.475674 | + | 0.879621i | \(0.657796\pi\) | |||||||
\(272\) | 6.37403 | + | 19.6172i | 0.386482 | + | 1.18947i | ||||
\(273\) | −3.12241 | − | 2.26857i | −0.188977 | − | 0.137300i | ||||
\(274\) | −1.40688 | −0.0849925 | ||||||||
\(275\) | 18.4947 | + | 16.2497i | 1.11527 | + | 0.979894i | ||||
\(276\) | 0.662637 | 0.0398861 | ||||||||
\(277\) | −10.4356 | − | 7.58193i | −0.627016 | − | 0.455554i | 0.228349 | − | 0.973579i | \(-0.426667\pi\) |
−0.855365 | + | 0.518025i | \(0.826667\pi\) | |||||||
\(278\) | 0.481905 | + | 1.48315i | 0.0289027 | + | 0.0889534i | ||||
\(279\) | −0.343308 | − | 1.05659i | −0.0205533 | − | 0.0632566i | ||||
\(280\) | −1.44006 | − | 0.542760i | −0.0860599 | − | 0.0324361i | ||||
\(281\) | −5.61713 | + | 17.2877i | −0.335090 | + | 1.03130i | 0.631588 | + | 0.775304i | \(0.282403\pi\) |
−0.966678 | + | 0.255996i | \(0.917597\pi\) | |||||||
\(282\) | −1.67751 | −0.0998941 | ||||||||
\(283\) | −0.296866 | + | 0.913659i | −0.0176468 | + | 0.0543114i | −0.959492 | − | 0.281735i | \(-0.909090\pi\) |
0.941845 | + | 0.336047i | \(0.109090\pi\) | |||||||
\(284\) | −11.4633 | + | 8.32855i | −0.680220 | + | 0.494209i | ||||
\(285\) | −0.598147 | + | 12.9159i | −0.0354312 | + | 0.765072i | ||||
\(286\) | 2.66531 | + | 1.93646i | 0.157603 | + | 0.114505i | ||||
\(287\) | 8.43156 | − | 6.12589i | 0.497699 | − | 0.361600i | ||||
\(288\) | 1.64944 | − | 1.19839i | 0.0971941 | − | 0.0706156i | ||||
\(289\) | −9.82777 | − | 7.14029i | −0.578104 | − | 0.420017i | ||||
\(290\) | 0.490002 | + | 0.184683i | 0.0287739 | + | 0.0108449i | ||||
\(291\) | −2.61293 | + | 1.89840i | −0.153172 | + | 0.111286i | ||||
\(292\) | −2.35671 | + | 7.25321i | −0.137916 | + | 0.424462i | ||||
\(293\) | 25.4569 | 1.48721 | 0.743605 | − | 0.668619i | \(-0.233114\pi\) | ||||
0.743605 | + | 0.668619i | \(0.233114\pi\) | |||||||
\(294\) | 0.0535718 | − | 0.164877i | 0.00312437 | − | 0.00961582i | ||||
\(295\) | 11.4204 | + | 17.3539i | 0.664923 | + | 1.01039i | ||||
\(296\) | −0.989796 | − | 3.04628i | −0.0575307 | − | 0.177061i | ||||
\(297\) | −1.52155 | − | 4.68285i | −0.0882893 | − | 0.271727i | ||||
\(298\) | −0.363195 | − | 0.263877i | −0.0210393 | − | 0.0152860i | ||||
\(299\) | 1.29824 | 0.0750790 | ||||||||
\(300\) | 8.46958 | − | 5.02826i | 0.488991 | − | 0.290307i | ||||
\(301\) | 12.9331 | 0.745450 | ||||||||
\(302\) | −2.96979 | − | 2.15768i | −0.170892 | − | 0.124160i | ||||
\(303\) | −2.57477 | − | 7.92433i | −0.147917 | − | 0.455241i | ||||
\(304\) | −6.82679 | − | 21.0107i | −0.391543 | − | 1.20505i | ||||
\(305\) | −19.5039 | + | 24.3872i | −1.11679 | + | 1.39640i | ||||
\(306\) | −0.289227 | + | 0.890149i | −0.0165340 | + | 0.0508865i | ||||
\(307\) | −14.4583 | −0.825179 | −0.412589 | − | 0.910917i | \(-0.635376\pi\) | ||||
−0.412589 | + | 0.910917i | \(0.635376\pi\) | |||||||
\(308\) | 2.99737 | − | 9.22496i | 0.170791 | − | 0.525641i | ||||
\(309\) | −13.2361 | + | 9.61656i | −0.752973 | + | 0.547067i | ||||
\(310\) | −0.236750 | − | 0.359753i | −0.0134465 | − | 0.0204326i | ||||
\(311\) | −3.34568 | − | 2.43078i | −0.189716 | − | 0.137837i | 0.488873 | − | 0.872355i | \(-0.337408\pi\) |
−0.678589 | + | 0.734518i | \(0.737408\pi\) | |||||||
\(312\) | 2.14896 | − | 1.56131i | 0.121661 | − | 0.0883919i | ||||
\(313\) | −18.9735 | + | 13.7850i | −1.07244 | + | 0.779175i | −0.976350 | − | 0.216197i | \(-0.930635\pi\) |
−0.0960932 | + | 0.995372i | \(0.530635\pi\) | |||||||
\(314\) | 1.07975 | + | 0.784488i | 0.0609341 | + | 0.0442712i | ||||
\(315\) | 1.22923 | + | 1.86788i | 0.0692594 | + | 0.105243i | ||||
\(316\) | −10.5846 | + | 7.69019i | −0.595433 | + | 0.432607i | ||||
\(317\) | 6.45204 | − | 19.8573i | 0.362383 | − | 1.11530i | −0.589221 | − | 0.807972i | \(-0.700565\pi\) |
0.951604 | − | 0.307327i | \(-0.0994347\pi\) | |||||||
\(318\) | 0.982031 | 0.0550695 | ||||||||
\(319\) | −2.05536 | + | 6.32576i | −0.115078 | + | 0.354174i | ||||
\(320\) | −10.1781 | + | 12.7263i | −0.568971 | + | 0.711425i | ||||
\(321\) | −3.62499 | − | 11.1566i | −0.202327 | − | 0.622699i | ||||
\(322\) | 0.0180201 | + | 0.0554602i | 0.00100422 | + | 0.00309068i | ||||
\(323\) | 25.2561 | + | 18.3496i | 1.40528 | + | 1.02100i | ||||
\(324\) | −1.96995 | −0.109441 | ||||||||
\(325\) | 16.5936 | − | 9.85136i | 0.920446 | − | 0.546455i | ||||
\(326\) | −1.47314 | −0.0815898 | ||||||||
\(327\) | 6.97950 | + | 5.07090i | 0.385967 | + | 0.280421i | ||||
\(328\) | 2.21652 | + | 6.82174i | 0.122387 | + | 0.376667i | ||||
\(329\) | 2.99015 | + | 9.20273i | 0.164852 | + | 0.507363i | ||||
\(330\) | −1.04928 | − | 1.59444i | −0.0577610 | − | 0.0877709i | ||||
\(331\) | 5.37110 | − | 16.5305i | 0.295222 | − | 0.908601i | −0.687924 | − | 0.725782i | \(-0.741478\pi\) |
0.983147 | − | 0.182819i | \(-0.0585221\pi\) | |||||||
\(332\) | −24.7156 | −1.35644 | ||||||||
\(333\) | −1.43816 | + | 4.42620i | −0.0788107 | + | 0.242554i | ||||
\(334\) | 0.524739 | − | 0.381245i | 0.0287124 | − | 0.0208608i | ||||
\(335\) | 9.09003 | + | 3.42605i | 0.496641 | + | 0.187185i | ||||
\(336\) | −3.09091 | − | 2.24568i | −0.168623 | − | 0.122512i | ||||
\(337\) | 14.5098 | − | 10.5420i | 0.790402 | − | 0.574261i | −0.117681 | − | 0.993051i | \(-0.537546\pi\) |
0.908083 | + | 0.418791i | \(0.137546\pi\) | |||||||
\(338\) | 0.265898 | − | 0.193186i | 0.0144630 | − | 0.0105080i | ||||
\(339\) | −1.11215 | − | 0.808027i | −0.0604039 | − | 0.0438860i | ||||
\(340\) | 1.10017 | − | 23.7562i | 0.0596651 | − | 1.28836i | ||||
\(341\) | 4.42551 | − | 3.21532i | 0.239655 | − | 0.174119i | ||||
\(342\) | 0.309771 | − | 0.953378i | 0.0167505 | − | 0.0515528i | ||||
\(343\) | −1.00000 | −0.0539949 | ||||||||
\(344\) | −2.75057 | + | 8.46538i | −0.148301 | + | 0.456423i | ||||
\(345\) | −0.703822 | − | 0.265272i | −0.0378925 | − | 0.0142818i | ||||
\(346\) | −1.17437 | − | 3.61435i | −0.0631347 | − | 0.194308i | ||||
\(347\) | −2.40870 | − | 7.41322i | −0.129306 | − | 0.397962i | 0.865355 | − | 0.501159i | \(-0.167093\pi\) |
−0.994661 | + | 0.103197i | \(0.967093\pi\) | |||||||
\(348\) | 2.15285 | + | 1.56414i | 0.115405 | + | 0.0838466i | ||||
\(349\) | −13.7889 | −0.738102 | −0.369051 | − | 0.929409i | \(-0.620317\pi\) | ||||
−0.369051 | + | 0.929409i | \(0.620317\pi\) | |||||||
\(350\) | 0.651173 | + | 0.572131i | 0.0348066 | + | 0.0305817i | ||||
\(351\) | −3.85951 | −0.206006 | ||||||||
\(352\) | 8.12157 | + | 5.90067i | 0.432881 | + | 0.314507i | ||||
\(353\) | 3.29322 | + | 10.1355i | 0.175281 | + | 0.539458i | 0.999646 | − | 0.0265997i | \(-0.00846794\pi\) |
−0.824366 | + | 0.566058i | \(0.808468\pi\) | |||||||
\(354\) | −0.497719 | − | 1.53182i | −0.0264535 | − | 0.0814155i | ||||
\(355\) | 15.5099 | − | 4.25714i | 0.823180 | − | 0.225945i | ||||
\(356\) | −0.259540 | + | 0.798783i | −0.0137556 | + | 0.0423354i | ||||
\(357\) | 5.39887 | 0.285738 | ||||||||
\(358\) | −0.232607 | + | 0.715891i | −0.0122937 | + | 0.0378360i | ||||
\(359\) | −15.7595 | + | 11.4500i | −0.831757 | + | 0.604307i | −0.920056 | − | 0.391787i | \(-0.871857\pi\) |
0.0882990 | + | 0.996094i | \(0.471857\pi\) | |||||||
\(360\) | −1.48406 | + | 0.407342i | −0.0782167 | + | 0.0214688i | ||||
\(361\) | −11.6787 | − | 8.48508i | −0.614669 | − | 0.446583i | ||||
\(362\) | −1.20816 | + | 0.877779i | −0.0634994 | + | 0.0461350i | ||||
\(363\) | 10.7148 | − | 7.78475i | 0.562381 | − | 0.408593i | ||||
\(364\) | −6.15098 | − | 4.46895i | −0.322399 | − | 0.234237i | ||||
\(365\) | 5.40685 | − | 6.76056i | 0.283007 | − | 0.353864i | ||||
\(366\) | 1.95866 | − | 1.42305i | 0.102381 | − | 0.0743841i | ||||
\(367\) | −6.49527 | + | 19.9904i | −0.339050 | + | 1.04349i | 0.625642 | + | 0.780110i | \(0.284837\pi\) |
−0.964692 | + | 0.263379i | \(0.915163\pi\) | |||||||
\(368\) | 1.28514 | 0.0669925 | ||||||||
\(369\) | 3.22057 | − | 9.91190i | 0.167656 | − | 0.515993i | ||||
\(370\) | −0.0834606 | + | 1.80218i | −0.00433891 | + | 0.0936910i | ||||
\(371\) | −1.75047 | − | 5.38738i | −0.0908797 | − | 0.279699i | ||||
\(372\) | −0.676298 | − | 2.08143i | −0.0350644 | − | 0.107917i | ||||
\(373\) | 1.55506 | + | 1.12981i | 0.0805177 | + | 0.0584995i | 0.627316 | − | 0.778765i | \(-0.284154\pi\) |
−0.546798 | + | 0.837264i | \(0.684154\pi\) | |||||||
\(374\) | −4.60851 | −0.238300 | ||||||||
\(375\) | −11.0089 | + | 1.95018i | −0.568499 | + | 0.100707i | ||||
\(376\) | −6.65961 | −0.343443 | ||||||||
\(377\) | 4.21786 | + | 3.06446i | 0.217231 | + | 0.157828i | ||||
\(378\) | −0.0535718 | − | 0.164877i | −0.00275544 | − | 0.00848036i | ||||
\(379\) | −8.44155 | − | 25.9804i | −0.433613 | − | 1.33452i | −0.894501 | − | 0.447066i | \(-0.852469\pi\) |
0.460888 | − | 0.887458i | \(-0.347531\pi\) | |||||||
\(380\) | −1.17832 | + | 25.4436i | −0.0604464 | + | 1.30523i | ||||
\(381\) | 2.13743 | − | 6.57835i | 0.109504 | − | 0.337019i | ||||
\(382\) | −0.560692 | −0.0286875 | ||||||||
\(383\) | 7.66337 | − | 23.5854i | 0.391580 | − | 1.20516i | −0.540013 | − | 0.841657i | \(-0.681581\pi\) |
0.931593 | − | 0.363503i | \(-0.118419\pi\) | |||||||
\(384\) | 4.32100 | − | 3.13939i | 0.220505 | − | 0.160206i | ||||
\(385\) | −6.87668 | + | 8.59839i | −0.350468 | + | 0.438215i | ||||
\(386\) | −2.73483 | − | 1.98697i | −0.139199 | − | 0.101134i | ||||
\(387\) | 10.4631 | − | 7.60187i | 0.531868 | − | 0.386425i | ||||
\(388\) | −5.14732 | + | 3.73975i | −0.261316 | + | 0.189857i | ||||
\(389\) | 24.1679 | + | 17.5590i | 1.22536 | + | 0.890275i | 0.996534 | − | 0.0831923i | \(-0.0265116\pi\) |
0.228825 | + | 0.973468i | \(0.426512\pi\) | |||||||
\(390\) | −1.44278 | + | 0.396011i | −0.0730578 | + | 0.0200528i | ||||
\(391\) | −1.46920 | + | 1.06744i | −0.0743008 | + | 0.0539827i | ||||
\(392\) | 0.212677 | − | 0.654553i | 0.0107418 | − | 0.0330599i | ||||
\(393\) | 5.39948 | 0.272368 | ||||||||
\(394\) | 0.899327 | − | 2.76784i | 0.0453074 | − | 0.139442i | ||||
\(395\) | 14.3211 | − | 3.93084i | 0.720573 | − | 0.197782i | ||||
\(396\) | −2.99737 | − | 9.22496i | −0.150624 | − | 0.463572i | ||||
\(397\) | 6.70970 | + | 20.6503i | 0.336750 | + | 1.03641i | 0.965854 | + | 0.259089i | \(0.0834222\pi\) |
−0.629103 | + | 0.777322i | \(0.716578\pi\) | |||||||
\(398\) | 0.212835 | + | 0.154634i | 0.0106685 | + | 0.00775109i | ||||
\(399\) | −5.78236 | −0.289480 | ||||||||
\(400\) | 16.4262 | − | 9.75197i | 0.821309 | − | 0.487598i | ||||
\(401\) | 6.80853 | 0.340002 | 0.170001 | − | 0.985444i | \(-0.445623\pi\) | ||||
0.170001 | + | 0.985444i | \(0.445623\pi\) | |||||||
\(402\) | −0.609306 | − | 0.442686i | −0.0303894 | − | 0.0220792i | ||||
\(403\) | −1.32500 | − | 4.07794i | −0.0660030 | − | 0.203136i | ||||
\(404\) | −5.07216 | − | 15.6105i | −0.252349 | − | 0.776651i | ||||
\(405\) | 2.09238 | + | 0.788624i | 0.103971 | + | 0.0391870i | ||||
\(406\) | −0.0723666 | + | 0.222722i | −0.00359150 | + | 0.0110535i | ||||
\(407\) | −22.9155 | −1.13588 | ||||||||
\(408\) | −1.14822 | + | 3.53384i | −0.0568452 | + | 0.174951i | ||||
\(409\) | 23.0545 | − | 16.7501i | 1.13997 | − | 0.828239i | 0.152858 | − | 0.988248i | \(-0.451152\pi\) |
0.987116 | + | 0.160009i | \(0.0511524\pi\) | |||||||
\(410\) | 0.186899 | − | 4.03575i | 0.00923028 | − | 0.199311i | ||||
\(411\) | 6.56538 | + | 4.77003i | 0.323846 | + | 0.235288i | ||||
\(412\) | −26.0743 | + | 18.9441i | −1.28459 | + | 0.933308i | ||||
\(413\) | −7.51633 | + | 5.46094i | −0.369855 | + | 0.268715i | ||||
\(414\) | 0.0471773 | + | 0.0342763i | 0.00231864 | + | 0.00168459i | ||||
\(415\) | 26.2517 | + | 9.89434i | 1.28865 | + | 0.485694i | ||||
\(416\) | 6.36603 | − | 4.62519i | 0.312120 | − | 0.226769i | ||||
\(417\) | 2.77976 | − | 8.55522i | 0.136125 | − | 0.418951i | ||||
\(418\) | 4.93586 | 0.241421 | ||||||||
\(419\) | −3.17721 | + | 9.77843i | −0.155217 | + | 0.477708i | −0.998183 | − | 0.0602589i | \(-0.980807\pi\) |
0.842966 | + | 0.537967i | \(0.180807\pi\) | |||||||
\(420\) | 2.42152 | + | 3.67963i | 0.118158 | + | 0.179547i | ||||
\(421\) | −8.46010 | − | 26.0375i | −0.412320 | − | 1.26899i | −0.914626 | − | 0.404301i | \(-0.867515\pi\) |
0.502306 | − | 0.864690i | \(-0.332485\pi\) | |||||||
\(422\) | 1.21836 | + | 3.74971i | 0.0593086 | + | 0.182533i | ||||
\(423\) | 7.82831 | + | 5.68760i | 0.380626 | + | 0.276541i | ||||
\(424\) | 3.89861 | 0.189333 | ||||||||
\(425\) | −10.6788 | + | 24.7923i | −0.517998 | + | 1.20260i | ||||
\(426\) | −1.24695 | −0.0604151 | ||||||||
\(427\) | −11.2981 | − | 8.20855i | −0.546754 | − | 0.397240i | ||||
\(428\) | −7.14103 | − | 21.9778i | −0.345175 | − | 1.06234i | ||||
\(429\) | −5.87245 | − | 18.0735i | −0.283524 | − | 0.872598i | ||||
\(430\) | 3.13134 | − | 3.91534i | 0.151007 | − | 0.188814i | ||||
\(431\) | 8.11053 | − | 24.9616i | 0.390670 | − | 1.20236i | −0.541612 | − | 0.840629i | \(-0.682186\pi\) |
0.932282 | − | 0.361731i | \(-0.117814\pi\) | |||||||
\(432\) | −3.82058 | −0.183818 | ||||||||
\(433\) | −1.32780 | + | 4.08654i | −0.0638099 | + | 0.196387i | −0.977879 | − | 0.209172i | \(-0.932923\pi\) |
0.914069 | + | 0.405559i | \(0.132923\pi\) | |||||||
\(434\) | 0.155816 | − | 0.113207i | 0.00747942 | − | 0.00543412i | ||||
\(435\) | −1.66049 | − | 2.52320i | −0.0796144 | − | 0.120978i | ||||
\(436\) | 13.7492 | + | 9.98940i | 0.658469 | + | 0.478405i | ||||
\(437\) | 1.57356 | − | 1.14326i | 0.0752737 | − | 0.0546896i | ||||
\(438\) | −0.542976 | + | 0.394495i | −0.0259444 | + | 0.0188497i | ||||
\(439\) | 12.4416 | + | 9.03935i | 0.593805 | + | 0.431425i | 0.843675 | − | 0.536855i | \(-0.180388\pi\) |
−0.249870 | + | 0.968280i | \(0.580388\pi\) | |||||||
\(440\) | −4.16559 | − | 6.32983i | −0.198587 | − | 0.301763i | ||||
\(441\) | −0.809017 | + | 0.587785i | −0.0385246 | + | 0.0279898i | ||||
\(442\) | −1.11628 | + | 3.43554i | −0.0530958 | + | 0.163412i | ||||
\(443\) | −19.9081 | −0.945863 | −0.472931 | − | 0.881099i | \(-0.656804\pi\) | ||||
−0.472931 | + | 0.881099i | \(0.656804\pi\) | |||||||
\(444\) | −2.83310 | + | 8.71938i | −0.134453 | + | 0.413803i | ||||
\(445\) | 0.595447 | − | 0.744529i | 0.0282269 | − | 0.0352941i | ||||
\(446\) | 1.20005 | + | 3.69338i | 0.0568240 | + | 0.174886i | ||||
\(447\) | 0.800223 | + | 2.46283i | 0.0378492 | + | 0.116488i | ||||
\(448\) | −5.89587 | − | 4.28360i | −0.278554 | − | 0.202381i | ||||
\(449\) | 11.6474 | 0.549674 | 0.274837 | − | 0.961491i | \(-0.411376\pi\) | ||||
0.274837 | + | 0.961491i | \(0.411376\pi\) | |||||||
\(450\) | 0.863100 | + | 0.0801136i | 0.0406869 | + | 0.00377659i | ||||
\(451\) | 51.3162 | 2.41638 | ||||||||
\(452\) | −2.19088 | − | 1.59177i | −0.103050 | − | 0.0748705i | ||||
\(453\) | 6.54330 | + | 20.1382i | 0.307431 | + | 0.946175i | ||||
\(454\) | 0.468922 | + | 1.44319i | 0.0220076 | + | 0.0677324i | ||||
\(455\) | 4.74424 | + | 7.20912i | 0.222414 | + | 0.337969i | ||||
\(456\) | 1.22978 | − | 3.78486i | 0.0575895 | − | 0.177242i | ||||
\(457\) | −6.45368 | −0.301890 | −0.150945 | − | 0.988542i | \(-0.548232\pi\) | ||||
−0.150945 | + | 0.988542i | \(0.548232\pi\) | |||||||
\(458\) | 0.571809 | − | 1.75985i | 0.0267189 | − | 0.0822322i | ||||
\(459\) | 4.36778 | − | 3.17338i | 0.203870 | − | 0.148120i | ||||
\(460\) | −1.38649 | − | 0.522571i | −0.0646455 | − | 0.0243650i | ||||
\(461\) | −8.68384 | − | 6.30918i | −0.404447 | − | 0.293848i | 0.366903 | − | 0.930259i | \(-0.380418\pi\) |
−0.771350 | + | 0.636411i | \(0.780418\pi\) | |||||||
\(462\) | 0.690582 | − | 0.501737i | 0.0321288 | − | 0.0233429i | ||||
\(463\) | −18.5034 | + | 13.4435i | −0.859927 | + | 0.624774i | −0.927865 | − | 0.372916i | \(-0.878358\pi\) |
0.0679381 | + | 0.997690i | \(0.478358\pi\) | |||||||
\(464\) | 4.17531 | + | 3.03354i | 0.193834 | + | 0.140829i | ||||
\(465\) | −0.114922 | + | 2.48154i | −0.00532939 | + | 0.115079i | ||||
\(466\) | −1.11422 | + | 0.809528i | −0.0516152 | + | 0.0375006i | ||||
\(467\) | −0.262365 | + | 0.807476i | −0.0121408 | + | 0.0373655i | −0.956943 | − | 0.290275i | \(-0.906253\pi\) |
0.944803 | + | 0.327640i | \(0.106253\pi\) | |||||||
\(468\) | −7.60303 | −0.351450 | ||||||||
\(469\) | −1.34247 | + | 4.13171i | −0.0619897 | + | 0.190785i | ||||
\(470\) | 3.50999 | + | 1.32292i | 0.161904 | + | 0.0610218i | ||||
\(471\) | −2.37901 | − | 7.32184i | −0.109619 | − | 0.337372i | ||||
\(472\) | −1.97592 | − | 6.08125i | −0.0909490 | − | 0.279912i | ||||
\(473\) | 51.5186 | + | 37.4304i | 2.36883 | + | 1.72105i | ||||
\(474\) | −1.15138 | −0.0528846 | ||||||||
\(475\) | 11.4373 | − | 26.5533i | 0.524781 | − | 1.21835i | ||||
\(476\) | 10.6355 | 0.487476 | ||||||||
\(477\) | −4.58278 | − | 3.32958i | −0.209831 | − | 0.152451i | ||||
\(478\) | −1.56689 | − | 4.82238i | −0.0716678 | − | 0.220571i | ||||
\(479\) | −6.69653 | − | 20.6098i | −0.305972 | − | 0.941685i | −0.979313 | − | 0.202353i | \(-0.935141\pi\) |
0.673341 | − | 0.739332i | \(-0.264859\pi\) | |||||||
\(480\) | −4.39634 | + | 1.20670i | −0.200664 | + | 0.0550781i | ||||
\(481\) | −5.55060 | + | 17.0830i | −0.253086 | + | 0.778918i | ||||
\(482\) | −3.12779 | −0.142467 | ||||||||
\(483\) | 0.103945 | − | 0.319910i | 0.00472966 | − | 0.0145564i | ||||
\(484\) | 21.1076 | − | 15.3355i | 0.959434 | − | 0.697070i | ||||
\(485\) | 6.96437 | − | 1.91157i | 0.316236 | − | 0.0868000i | ||||
\(486\) | −0.140253 | − | 0.101900i | −0.00636199 | − | 0.00462226i | ||||
\(487\) | −4.93797 | + | 3.58764i | −0.223761 | + | 0.162572i | −0.694018 | − | 0.719958i | \(-0.744161\pi\) |
0.470257 | + | 0.882529i | \(0.344161\pi\) | |||||||
\(488\) | 7.77578 | − | 5.64943i | 0.351993 | − | 0.255738i | ||||
\(489\) | 6.87462 | + | 4.99470i | 0.310881 | + | 0.225868i | ||||
\(490\) | −0.242119 | + | 0.302738i | −0.0109378 | + | 0.0136763i | ||||
\(491\) | 26.6920 | − | 19.3929i | 1.20460 | − | 0.875189i | 0.209866 | − | 0.977730i | \(-0.432697\pi\) |
0.994729 | + | 0.102541i | \(0.0326972\pi\) | |||||||
\(492\) | 6.34435 | − | 19.5259i | 0.286025 | − | 0.880295i | ||||
\(493\) | −7.29298 | −0.328459 | ||||||||
\(494\) | 1.19557 | − | 3.67958i | 0.0537911 | − | 0.165552i | ||||
\(495\) | −0.509339 | + | 10.9983i | −0.0228931 | + | 0.494335i | ||||
\(496\) | −1.31163 | − | 4.03679i | −0.0588941 | − | 0.181257i | ||||
\(497\) | 2.22269 | + | 6.84074i | 0.0997013 | + | 0.306849i | ||||
\(498\) | −1.75966 | − | 1.27847i | −0.0788521 | − | 0.0572894i | ||||
\(499\) | −40.4940 | −1.81276 | −0.906380 | − | 0.422463i | \(-0.861166\pi\) | ||||
−0.906380 | + | 0.422463i | \(0.861166\pi\) | |||||||
\(500\) | −21.6870 | + | 3.84174i | −0.969873 | + | 0.171808i | ||||
\(501\) | −3.74138 | −0.167152 | ||||||||
\(502\) | −4.01624 | − | 2.91797i | −0.179254 | − | 0.130235i | ||||
\(503\) | 9.68700 | + | 29.8135i | 0.431922 | + | 1.32932i | 0.896208 | + | 0.443634i | \(0.146311\pi\) |
−0.464286 | + | 0.885685i | \(0.653689\pi\) | |||||||
\(504\) | −0.212677 | − | 0.654553i | −0.00947339 | − | 0.0291561i | ||||
\(505\) | −0.861904 | + | 18.6113i | −0.0383542 | + | 0.828191i | ||||
\(506\) | −0.0887282 | + | 0.273077i | −0.00394445 | + | 0.0121398i | ||||
\(507\) | −1.89585 | −0.0841977 | ||||||||
\(508\) | 4.21063 | − | 12.9590i | 0.186817 | − | 0.574962i | ||||
\(509\) | −4.50521 | + | 3.27323i | −0.199690 | + | 0.145083i | −0.683137 | − | 0.730291i | \(-0.739385\pi\) |
0.483447 | + | 0.875374i | \(0.339385\pi\) | |||||||
\(510\) | 1.30717 | − | 1.63444i | 0.0578823 | − | 0.0723744i | ||||
\(511\) | 3.13204 | + | 2.27556i | 0.138553 | + | 0.100665i | ||||
\(512\) | 10.5564 | − | 7.66965i | 0.466530 | − | 0.338954i | ||||
\(513\) | −4.67803 | + | 3.39879i | −0.206540 | + | 0.150060i | ||||
\(514\) | 0.991240 | + | 0.720178i | 0.0437217 | + | 0.0317657i | ||||
\(515\) | 35.2788 | − | 9.68327i | 1.55457 | − | 0.426696i | ||||
\(516\) | 20.6117 | − | 14.9753i | 0.907380 | − | 0.659250i | ||||
\(517\) | −14.7230 | + | 45.3128i | −0.647518 | + | 1.99285i | ||||
\(518\) | −0.806824 | −0.0354498 | ||||||||
\(519\) | −6.77411 | + | 20.8486i | −0.297350 | + | 0.915150i | ||||
\(520\) | −5.72774 | + | 1.57214i | −0.251178 | + | 0.0689430i | ||||
\(521\) | −1.92720 | − | 5.93131i | −0.0844322 | − | 0.259855i | 0.899924 | − | 0.436047i | \(-0.143622\pi\) |
−0.984356 | + | 0.176192i | \(0.943622\pi\) | |||||||
\(522\) | 0.0723666 | + | 0.222722i | 0.00316740 | + | 0.00974826i | ||||
\(523\) | 25.9536 | + | 18.8564i | 1.13487 | + | 0.824532i | 0.986396 | − | 0.164384i | \(-0.0525638\pi\) |
0.148474 | + | 0.988916i | \(0.452564\pi\) | |||||||
\(524\) | 10.6367 | 0.464665 | ||||||||
\(525\) | −1.09897 | − | 4.87773i | −0.0479631 | − | 0.212882i | ||||
\(526\) | −0.563412 | −0.0245659 | ||||||||
\(527\) | 4.85246 | + | 3.52552i | 0.211376 | + | 0.153574i | ||||
\(528\) | −5.81320 | − | 17.8912i | −0.252987 | − | 0.778614i | ||||
\(529\) | −7.07243 | − | 21.7667i | −0.307497 | − | 0.946378i | ||||
\(530\) | −2.05479 | − | 0.774453i | −0.0892542 | − | 0.0336401i | ||||
\(531\) | −2.87098 | + | 8.83598i | −0.124590 | + | 0.383449i | ||||
\(532\) | −11.3909 | −0.493860 | ||||||||
\(533\) | 12.4298 | − | 38.2551i | 0.538396 | − | 1.65701i | ||||
\(534\) | −0.0597971 | + | 0.0434451i | −0.00258767 | + | 0.00188005i | ||||
\(535\) | −1.21346 | + | 26.2026i | −0.0524626 | + | 1.13284i | ||||
\(536\) | −2.41891 | − | 1.75744i | −0.104481 | − | 0.0759099i | ||||
\(537\) | 3.51273 | − | 2.55215i | 0.151585 | − | 0.110133i | ||||
\(538\) | −3.84729 | + | 2.79522i | −0.165868 | + | 0.120510i | ||||
\(539\) | −3.98347 | − | 2.89416i | −0.171580 | − | 0.124660i | ||||
\(540\) | 4.12188 | + | 1.55355i | 0.177378 | + | 0.0668540i | ||||
\(541\) | −0.454779 | + | 0.330416i | −0.0195525 | + | 0.0142057i | −0.597519 | − | 0.801855i | \(-0.703847\pi\) |
0.577966 | + | 0.816061i | \(0.303847\pi\) | |||||||
\(542\) | −1.21628 | + | 3.74333i | −0.0522438 | + | 0.160790i | ||||
\(543\) | 8.61415 | 0.369669 | ||||||||
\(544\) | −3.40145 | + | 10.4686i | −0.145836 | + | 0.448836i | ||||
\(545\) | −10.6048 | − | 16.1145i | −0.454258 | − | 0.690268i | ||||
\(546\) | −0.206761 | − | 0.636345i | −0.00884856 | − | 0.0272331i | ||||
\(547\) | −1.09768 | − | 3.37832i | −0.0469335 | − | 0.144447i | 0.924843 | − | 0.380348i | \(-0.124196\pi\) |
−0.971777 | + | 0.235901i | \(0.924196\pi\) | |||||||
\(548\) | 12.9334 | + | 9.39669i | 0.552489 | + | 0.401407i | ||||
\(549\) | −13.9652 | −0.596021 | ||||||||
\(550\) | 0.938089 | + | 4.16366i | 0.0400003 | + | 0.177539i | ||||
\(551\) | 7.81101 | 0.332760 | ||||||||
\(552\) | 0.187291 | + | 0.136075i | 0.00797164 | + | 0.00579174i | ||||
\(553\) | 2.05233 | + | 6.31641i | 0.0872738 | + | 0.268601i | ||||
\(554\) | −0.691030 | − | 2.12677i | −0.0293591 | − | 0.0903579i | ||||
\(555\) | 6.49979 | − | 8.12715i | 0.275901 | − | 0.344978i | ||||
\(556\) | 5.47598 | − | 16.8533i | 0.232233 | − | 0.714740i | ||||
\(557\) | 13.2267 | 0.560432 | 0.280216 | − | 0.959937i | \(-0.409594\pi\) | ||||
0.280216 | + | 0.959937i | \(0.409594\pi\) | |||||||
\(558\) | 0.0595165 | − | 0.183173i | 0.00251953 | − | 0.00775433i | ||||
\(559\) | 40.3824 | − | 29.3395i | 1.70799 | − | 1.24093i | ||||
\(560\) | 4.69638 | + | 7.13639i | 0.198458 | + | 0.301568i | ||||
\(561\) | 21.5062 | + | 15.6252i | 0.907994 | + | 0.659696i | ||||
\(562\) | −2.54943 | + | 1.85227i | −0.107541 | + | 0.0781333i | ||||
\(563\) | −6.75285 | + | 4.90623i | −0.284599 | + | 0.206773i | −0.720921 | − | 0.693018i | \(-0.756281\pi\) |
0.436322 | + | 0.899791i | \(0.356281\pi\) | |||||||
\(564\) | 15.4213 | + | 11.2043i | 0.649356 | + | 0.471785i | ||||
\(565\) | 1.68982 | + | 2.56777i | 0.0710914 | + | 0.108027i | ||||
\(566\) | −0.134738 | + | 0.0978927i | −0.00566345 | + | 0.00411474i | ||||
\(567\) | −0.309017 | + | 0.951057i | −0.0129775 | + | 0.0399406i | ||||
\(568\) | −4.95034 | −0.207712 | ||||||||
\(569\) | −6.12609 | + | 18.8542i | −0.256819 | + | 0.790408i | 0.736647 | + | 0.676278i | \(0.236408\pi\) |
−0.993466 | + | 0.114130i | \(0.963592\pi\) | |||||||
\(570\) | −1.40002 | + | 1.75054i | −0.0586403 | + | 0.0733221i | ||||
\(571\) | −2.82897 | − | 8.70667i | −0.118389 | − | 0.364363i | 0.874250 | − | 0.485476i | \(-0.161354\pi\) |
−0.992639 | + | 0.121113i | \(0.961354\pi\) | |||||||
\(572\) | −11.5684 | − | 35.6039i | −0.483699 | − | 1.48867i | ||||
\(573\) | 2.61655 | + | 1.90103i | 0.109308 | + | 0.0794167i | ||||
\(574\) | 1.80678 | 0.0754133 | ||||||||
\(575\) | 1.26347 | + | 1.11010i | 0.0526902 | + | 0.0462944i | ||||
\(576\) | −7.28770 | −0.303654 | ||||||||
\(577\) | −15.9963 | − | 11.6220i | −0.665935 | − | 0.483830i | 0.202727 | − | 0.979235i | \(-0.435020\pi\) |
−0.868662 | + | 0.495405i | \(0.835020\pi\) | |||||||
\(578\) | −0.650779 | − | 2.00289i | −0.0270688 | − | 0.0833093i | ||||
\(579\) | 6.02562 | + | 18.5449i | 0.250416 | + | 0.770702i | ||||
\(580\) | −3.27108 | − | 4.97057i | −0.135824 | − | 0.206392i | ||||
\(581\) | −3.87703 | + | 11.9323i | −0.160846 | + | 0.495034i | ||||
\(582\) | −0.559917 | −0.0232093 | ||||||||
\(583\) | 8.61901 | − | 26.5266i | 0.356963 | − | 1.09862i | ||||
\(584\) | −2.15559 | + | 1.56613i | −0.0891988 | + | 0.0648067i | ||||
\(585\) | 8.07559 | + | 3.04370i | 0.333884 | + | 0.125842i | ||||
\(586\) | 3.57040 | + | 2.59405i | 0.147492 | + | 0.107159i | ||||
\(587\) | 5.94521 | − | 4.31945i | 0.245385 | − | 0.178283i | −0.458294 | − | 0.888801i | \(-0.651539\pi\) |
0.703679 | + | 0.710518i | \(0.251539\pi\) | |||||||
\(588\) | −1.59372 | + | 1.15790i | −0.0657239 | + | 0.0477512i | ||||
\(589\) | −5.19714 | − | 3.77594i | −0.214144 | − | 0.155585i | ||||
\(590\) | −0.166612 | + | 3.59768i | −0.00685929 | + | 0.148114i | ||||
\(591\) | −13.5812 | + | 9.86734i | −0.558657 | + | 0.405888i | ||||
\(592\) | −5.49460 | + | 16.9107i | −0.225827 | + | 0.695023i | ||||
\(593\) | −11.8452 | −0.486423 | −0.243212 | − | 0.969973i | \(-0.578201\pi\) | ||||
−0.243212 | + | 0.969973i | \(0.578201\pi\) | |||||||
\(594\) | 0.263779 | − | 0.811828i | 0.0108230 | − | 0.0333097i | ||||
\(595\) | −11.2965 | − | 4.25768i | −0.463112 | − | 0.174548i | ||||
\(596\) | 1.57640 | + | 4.85165i | 0.0645717 | + | 0.198731i | ||||
\(597\) | −0.468936 | − | 1.44324i | −0.0191923 | − | 0.0590678i | ||||
\(598\) | 0.182081 | + | 0.132290i | 0.00744586 | + | 0.00540973i | ||||
\(599\) | 13.4627 | 0.550072 | 0.275036 | − | 0.961434i | \(-0.411310\pi\) | ||||
0.275036 | + | 0.961434i | \(0.411310\pi\) | |||||||
\(600\) | 3.42646 | + | 0.318047i | 0.139885 | + | 0.0129842i | ||||
\(601\) | −32.3143 | −1.31813 | −0.659064 | − | 0.752087i | \(-0.729047\pi\) | ||||
−0.659064 | + | 0.752087i | \(0.729047\pi\) | |||||||
\(602\) | 1.81390 | + | 1.31788i | 0.0739291 | + | 0.0537126i | ||||
\(603\) | 1.34247 | + | 4.13171i | 0.0546698 | + | 0.168256i | ||||
\(604\) | 12.8899 | + | 39.6712i | 0.524484 | + | 1.61420i | ||||
\(605\) | −28.5587 | + | 7.83875i | −1.16108 | + | 0.318691i | ||||
\(606\) | 0.446367 | − | 1.37378i | 0.0181324 | − | 0.0558059i | ||||
\(607\) | 24.5815 | 0.997730 | 0.498865 | − | 0.866680i | \(-0.333750\pi\) | ||||
0.498865 | + | 0.866680i | \(0.333750\pi\) | |||||||
\(608\) | 3.64306 | − | 11.2122i | 0.147745 | − | 0.454714i | ||||
\(609\) | 1.09285 | − | 0.794001i | 0.0442844 | − | 0.0321745i | ||||
\(610\) | −5.22052 | + | 1.43292i | −0.211373 | + | 0.0580173i | ||||
\(611\) | 30.2135 | + | 21.9514i | 1.22231 | + | 0.888058i | ||||
\(612\) | 8.60428 | − | 6.25138i | 0.347808 | − | 0.252697i | ||||
\(613\) | 33.8223 | − | 24.5733i | 1.36607 | − | 0.992508i | 0.368037 | − | 0.929811i | \(-0.380030\pi\) |
0.998033 | − | 0.0626967i | \(-0.0199701\pi\) | |||||||
\(614\) | −2.02782 | − | 1.47329i | −0.0818360 | − | 0.0594573i | ||||
\(615\) | −14.5554 | + | 18.1997i | −0.586931 | + | 0.733882i | ||||
\(616\) | 2.74157 | − | 1.99187i | 0.110461 | − | 0.0802547i | ||||
\(617\) | −3.06236 | + | 9.42498i | −0.123286 | + | 0.379435i | −0.993585 | − | 0.113089i | \(-0.963926\pi\) |
0.870299 | + | 0.492524i | \(0.163926\pi\) | |||||||
\(618\) | −2.83632 | −0.114093 | ||||||||
\(619\) | 5.29367 | − | 16.2922i | 0.212770 | − | 0.654840i | −0.786534 | − | 0.617547i | \(-0.788126\pi\) |
0.999304 | − | 0.0372931i | \(-0.0118735\pi\) | |||||||
\(620\) | −0.226391 | + | 4.88850i | −0.00909207 | + | 0.196327i | ||||
\(621\) | −0.103945 | − | 0.319910i | −0.00417117 | − | 0.0128375i | ||||
\(622\) | −0.221546 | − | 0.681847i | −0.00888317 | − | 0.0273396i | ||||
\(623\) | 0.344926 | + | 0.250603i | 0.0138192 | + | 0.0100402i | ||||
\(624\) | −14.7456 | −0.590295 | ||||||||
\(625\) | 24.5729 | + | 4.60140i | 0.982916 | + | 0.184056i | ||||
\(626\) | −4.06577 | −0.162501 | ||||||||
\(627\) | −23.0339 | − | 16.7351i | −0.919884 | − | 0.668335i | ||||
\(628\) | −4.68652 | − | 14.4236i | −0.187012 | − | 0.575565i | ||||
\(629\) | −7.76444 | − | 23.8965i | −0.309589 | − | 0.952816i | ||||
\(630\) | −0.0179332 | + | 0.387234i | −0.000714474 | + | 0.0154278i | ||||
\(631\) | 5.11795 | − | 15.7514i | 0.203742 | − | 0.627055i | −0.796020 | − | 0.605270i | \(-0.793065\pi\) |
0.999763 | − | 0.0217848i | \(-0.00693487\pi\) | |||||||
\(632\) | −4.57091 | −0.181821 | ||||||||
\(633\) | 7.02781 | − | 21.6294i | 0.279331 | − | 0.859691i | ||||
\(634\) | 2.92837 | − | 2.12759i | 0.116300 | − | 0.0844972i | ||||
\(635\) | −9.66018 | + | 12.0788i | −0.383352 | + | 0.479333i | ||||
\(636\) | −9.02783 | − | 6.55910i | −0.357977 | − | 0.260085i | ||||
\(637\) | −3.12241 | + | 2.26857i | −0.123714 | + | 0.0898838i | ||||
\(638\) | −0.932862 | + | 0.677764i | −0.0369324 | + | 0.0268329i | ||||
\(639\) | 5.81908 | + | 4.22781i | 0.230199 | + | 0.167250i | ||||
\(640\) | −11.5170 | + | 3.16117i | −0.455249 | + | 0.124956i | ||||
\(641\) | 24.8810 | − | 18.0771i | 0.982740 | − | 0.714003i | 0.0244210 | − | 0.999702i | \(-0.492226\pi\) |
0.958319 | + | 0.285699i | \(0.0922258\pi\) | |||||||
\(642\) | 0.628435 | − | 1.93412i | 0.0248023 | − | 0.0763338i | ||||
\(643\) | 1.30799 | 0.0515819 | 0.0257910 | − | 0.999667i | \(-0.491790\pi\) | ||||
0.0257910 | + | 0.999667i | \(0.491790\pi\) | |||||||
\(644\) | 0.204766 | − | 0.630205i | 0.00806891 | − | 0.0248336i | ||||
\(645\) | −27.8878 | + | 7.65461i | −1.09808 | + | 0.301400i | ||||
\(646\) | 1.67242 | + | 5.14716i | 0.0658003 | + | 0.202512i | ||||
\(647\) | 3.89662 | + | 11.9926i | 0.153192 | + | 0.471477i | 0.997973 | − | 0.0636352i | \(-0.0202694\pi\) |
−0.844781 | + | 0.535112i | \(0.820269\pi\) | |||||||
\(648\) | −0.556796 | − | 0.404536i | −0.0218730 | − | 0.0158917i | ||||
\(649\) | −45.7459 | −1.79568 | ||||||||
\(650\) | 3.33115 | + | 0.309200i | 0.130658 | + | 0.0121278i | ||||
\(651\) | −1.11097 | −0.0435422 | ||||||||
\(652\) | 13.5426 | + | 9.83929i | 0.530370 | + | 0.385336i | ||||
\(653\) | −5.27402 | − | 16.2318i | −0.206388 | − | 0.635198i | −0.999654 | − | 0.0263218i | \(-0.991621\pi\) |
0.793265 | − | 0.608876i | \(-0.208379\pi\) | |||||||
\(654\) | 0.462171 | + | 1.42242i | 0.0180723 | + | 0.0556209i | ||||
\(655\) | −11.2978 | − | 4.25816i | −0.441441 | − | 0.166380i | ||||
\(656\) | 12.3044 | − | 37.8692i | 0.480408 | − | 1.47854i | ||||
\(657\) | 3.87141 | 0.151038 | ||||||||
\(658\) | −0.518378 | + | 1.59540i | −0.0202085 | + | 0.0621953i | ||||
\(659\) | −34.5171 | + | 25.0782i | −1.34460 | + | 0.976907i | −0.345336 | + | 0.938479i | \(0.612235\pi\) |
−0.999261 | + | 0.0384279i | \(0.987765\pi\) | |||||||
\(660\) | −1.00337 | + | 21.6660i | −0.0390561 | + | 0.843347i | ||||
\(661\) | −12.6955 | − | 9.22386i | −0.493800 | − | 0.358766i | 0.312844 | − | 0.949805i | \(-0.398718\pi\) |
−0.806644 | + | 0.591038i | \(0.798718\pi\) | |||||||
\(662\) | 2.43777 | − | 1.77114i | 0.0947465 | − | 0.0688374i | ||||
\(663\) | 16.8575 | − | 12.2477i | 0.654691 | − | 0.475661i | ||||
\(664\) | −6.98575 | − | 5.07544i | −0.271100 | − | 0.196965i | ||||
\(665\) | 12.0989 | + | 4.56011i | 0.469176 | + | 0.176833i | ||||
\(666\) | −0.652734 | + | 0.474239i | −0.0252929 | + | 0.0183764i | ||||
\(667\) | −0.140413 | + | 0.432145i | −0.00543680 | + | 0.0167327i | ||||
\(668\) | −7.37031 | −0.285166 | ||||||||
\(669\) | 6.92223 | − | 21.3044i | 0.267629 | − | 0.823677i | ||||
\(670\) | 0.925789 | + | 1.40678i | 0.0357663 | + | 0.0543488i | ||||
\(671\) | −21.2488 | − | 65.3971i | −0.820301 | − | 2.52463i | ||||
\(672\) | −0.630029 | − | 1.93903i | −0.0243039 | − | 0.0747997i | ||||
\(673\) | −5.53938 | − | 4.02459i | −0.213527 | − | 0.155137i | 0.475881 | − | 0.879510i | \(-0.342129\pi\) |
−0.689408 | + | 0.724373i | \(0.742129\pi\) | |||||||
\(674\) | 3.10927 | 0.119765 | ||||||||
\(675\) | −3.75615 | − | 3.30021i | −0.144574 | − | 0.127025i | ||||
\(676\) | −3.73472 | −0.143643 | ||||||||
\(677\) | −31.2823 | − | 22.7279i | −1.20228 | − | 0.873506i | −0.207771 | − | 0.978177i | \(-0.566621\pi\) |
−0.994507 | + | 0.104671i | \(0.966621\pi\) | |||||||
\(678\) | −0.0736450 | − | 0.226656i | −0.00282832 | − | 0.00870467i | ||||
\(679\) | 0.998049 | + | 3.07168i | 0.0383016 | + | 0.117880i | ||||
\(680\) | 5.18938 | − | 6.48865i | 0.199004 | − | 0.248828i | ||||
\(681\) | 2.70487 | − | 8.32474i | 0.103651 | − | 0.319005i | ||||
\(682\) | 0.948329 | 0.0363134 | ||||||||
\(683\) | −0.842388 | + | 2.59260i | −0.0322331 | + | 0.0992032i | −0.965879 | − | 0.258995i | \(-0.916609\pi\) |
0.933646 | + | 0.358198i | \(0.116609\pi\) | |||||||
\(684\) | −9.21546 | + | 6.69542i | −0.352362 | + | 0.256006i | ||||
\(685\) | −9.97554 | − | 15.1583i | −0.381146 | − | 0.579170i | ||||
\(686\) | −0.140253 | − | 0.101900i | −0.00535488 | − | 0.00389054i | ||||
\(687\) | −8.63520 | + | 6.27384i | −0.329453 | + | 0.239362i | ||||
\(688\) | 39.9750 | − | 29.0435i | 1.52403 | − | 1.10727i | ||||
\(689\) | −17.6873 | − | 12.8506i | −0.673832 | − | 0.489568i | ||||
\(690\) | −0.0716819 | − | 0.108924i | −0.00272888 | − | 0.00414668i | ||||
\(691\) | 36.6762 | − | 26.6468i | 1.39523 | − | 1.01369i | 0.399959 | − | 0.916533i | \(-0.369024\pi\) |
0.995269 | − | 0.0971589i | \(-0.0309755\pi\) | |||||||
\(692\) | −13.3446 | + | 41.0705i | −0.507286 | + | 1.56127i | ||||
\(693\) | −4.92384 | −0.187041 | ||||||||
\(694\) | 0.417577 | − | 1.28517i | 0.0158510 | − | 0.0487844i | ||||
\(695\) | −12.5632 | + | 15.7086i | −0.476548 | + | 0.595862i | ||||
\(696\) | 0.287292 | + | 0.884193i | 0.0108898 | + | 0.0335152i | ||||
\(697\) | 17.3874 | + | 53.5130i | 0.658596 | + | 2.02695i | ||||
\(698\) | −1.93393 | − | 1.40508i | −0.0732003 | − | 0.0531831i | ||||
\(699\) | 7.94437 | 0.300484 | ||||||||
\(700\) | −2.16491 | − | 9.60887i | −0.0818261 | − | 0.363181i | ||||
\(701\) | −19.4524 | −0.734707 | −0.367353 | − | 0.930081i | \(-0.619736\pi\) | ||||
−0.367353 | + | 0.930081i | \(0.619736\pi\) | |||||||
\(702\) | −0.541308 | − | 0.393283i | −0.0204303 | − | 0.0148435i | ||||
\(703\) | 8.31596 | + | 25.5939i | 0.313642 | + | 0.965292i | ||||
\(704\) | −11.0886 | − | 34.1272i | −0.417918 | − | 1.28622i | ||||
\(705\) | −11.8945 | − | 18.0742i | −0.447971 | − | 0.680715i | ||||
\(706\) | −0.570919 | + | 1.75711i | −0.0214868 | + | 0.0661297i | ||||
\(707\) | −8.33213 | −0.313362 | ||||||||
\(708\) | −5.65568 | + | 17.4064i | −0.212554 | + | 0.654173i | ||||
\(709\) | −16.6717 | + | 12.1127i | −0.626119 | + | 0.454902i | −0.855054 | − | 0.518539i | \(-0.826476\pi\) |
0.228934 | + | 0.973442i | \(0.426476\pi\) | |||||||
\(710\) | 2.60911 | + | 0.983378i | 0.0979181 | + | 0.0369055i | ||||
\(711\) | 5.37306 | + | 3.90376i | 0.201506 | + | 0.146402i | ||||
\(712\) | −0.237391 | + | 0.172475i | −0.00889661 | + | 0.00646376i | ||||
\(713\) | 0.302329 | − | 0.219655i | 0.0113223 | − | 0.00822615i | ||||
\(714\) | 0.757206 | + | 0.550143i | 0.0283377 | + | 0.0205886i | ||||
\(715\) | −1.96580 | + | 42.4479i | −0.0735168 | + | 1.58746i | ||||
\(716\) | 6.91988 | − | 5.02759i | 0.258608 | − | 0.187890i | ||||
\(717\) | −9.03824 | + | 27.8169i | −0.337539 | + | 1.03884i | ||||
\(718\) | −3.37707 | −0.126031 | ||||||||
\(719\) | 1.84443 | − | 5.67657i | 0.0687856 | − | 0.211700i | −0.910755 | − | 0.412947i | \(-0.864499\pi\) |
0.979541 | + | 0.201247i | \(0.0644994\pi\) | |||||||
\(720\) | 7.99412 | + | 3.01300i | 0.297923 | + | 0.112288i | ||||
\(721\) | 5.05572 | + | 15.5599i | 0.188285 | + | 0.579481i | ||||
\(722\) | −0.773346 | − | 2.38011i | −0.0287809 | − | 0.0885786i | ||||
\(723\) | 14.5962 | + | 10.6048i | 0.542840 | + | 0.394396i | ||||
\(724\) | 16.9694 | 0.630663 | ||||||||
\(725\) | 1.48453 | + | 6.58901i | 0.0551340 | + | 0.244710i | ||||
\(726\) | 2.29604 | 0.0852141 | ||||||||
\(727\) | −30.6769 | − | 22.2881i | −1.13774 | − | 0.826619i | −0.150940 | − | 0.988543i | \(-0.548230\pi\) |
−0.986803 | + | 0.161924i | \(0.948230\pi\) | |||||||
\(728\) | −0.820830 | − | 2.52626i | −0.0304220 | − | 0.0936293i | ||||
\(729\) | 0.309017 | + | 0.951057i | 0.0114451 | + | 0.0352243i | ||||
\(730\) | 1.44722 | − | 0.397232i | 0.0535642 | − | 0.0147022i | ||||
\(731\) | −21.5768 | + | 66.4066i | −0.798047 | + | 2.45614i | ||||
\(732\) | −27.5107 | −1.01683 | ||||||||
\(733\) | −0.859674 | + | 2.64580i | −0.0317528 | + | 0.0977250i | −0.965677 | − | 0.259746i | \(-0.916361\pi\) |
0.933924 | + | 0.357471i | \(0.116361\pi\) | |||||||
\(734\) | −2.94799 | + | 2.14184i | −0.108812 | + | 0.0790568i | ||||
\(735\) | 2.15632 | − | 0.591863i | 0.0795369 | − | 0.0218312i | ||||
\(736\) | 0.554827 | + | 0.403105i | 0.0204512 | + | 0.0148587i | ||||
\(737\) | −17.3055 | + | 12.5732i | −0.637458 | + | 0.463140i | ||||
\(738\) | 1.46171 | − | 1.06200i | 0.0538064 | − | 0.0390926i | ||||
\(739\) | 21.1638 | + | 15.3764i | 0.778524 | + | 0.565631i | 0.904536 | − | 0.426398i | \(-0.140218\pi\) |
−0.126012 | + | 0.992029i | \(0.540218\pi\) | |||||||
\(740\) | 12.8042 | − | 16.0100i | 0.470693 | − | 0.588541i | ||||
\(741\) | −18.0549 | + | 13.1177i | −0.663264 | + | 0.481889i | ||||
\(742\) | 0.303464 | − | 0.933967i | 0.0111405 | − | 0.0342870i | ||||
\(743\) | −37.8064 | −1.38698 | −0.693490 | − | 0.720466i | \(-0.743928\pi\) | ||||
−0.693490 | + | 0.720466i | \(0.743928\pi\) | |||||||
\(744\) | 0.236277 | − | 0.727187i | 0.00866235 | − | 0.0266600i | ||||
\(745\) | 0.267875 | − | 5.78427i | 0.00981416 | − | 0.211919i | ||||
\(746\) | 0.102973 | + | 0.316919i | 0.00377012 | + | 0.0116032i | ||||
\(747\) | 3.87703 | + | 11.9323i | 0.141853 | + | 0.436579i | ||||
\(748\) | 42.3661 | + | 30.7808i | 1.54906 | + | 1.12546i | ||||
\(749\) | −11.7307 | −0.428631 | ||||||||
\(750\) | −1.74276 | − | 0.848289i | −0.0636365 | − | 0.0309751i | ||||
\(751\) | −0.476440 | −0.0173855 | −0.00869277 | − | 0.999962i | \(-0.502767\pi\) | ||||
−0.00869277 | + | 0.999962i | \(0.502767\pi\) | |||||||
\(752\) | 29.9087 | + | 21.7299i | 1.09066 | + | 0.792409i | ||||
\(753\) | 8.84894 | + | 27.2342i | 0.322473 | + | 0.992470i | ||||
\(754\) | 0.279300 | + | 0.859597i | 0.0101715 | + | 0.0313047i | ||||
\(755\) | 2.19037 | − | 47.2971i | 0.0797157 | − | 1.72132i | ||||
\(756\) | −0.608747 | + | 1.87353i | −0.0221399 | + | 0.0681396i | ||||
\(757\) | 20.1563 | 0.732592 | 0.366296 | − | 0.930498i | \(-0.380626\pi\) | ||||
0.366296 | + | 0.930498i | \(0.380626\pi\) | |||||||
\(758\) | 1.46344 | − | 4.50401i | 0.0531546 | − | 0.163593i | ||||
\(759\) | 1.33993 | − | 0.973518i | 0.0486365 | − | 0.0353365i | ||||
\(760\) | −5.55799 | + | 6.94955i | −0.201610 | + | 0.252087i | ||||
\(761\) | −6.68289 | − | 4.85540i | −0.242255 | − | 0.176008i | 0.460033 | − | 0.887902i | \(-0.347838\pi\) |
−0.702287 | + | 0.711894i | \(0.747838\pi\) | |||||||
\(762\) | 0.970112 | − | 0.704828i | 0.0351435 | − | 0.0255332i | ||||
\(763\) | 6.97950 | − | 5.07090i | 0.252675 | − | 0.183579i | ||||
\(764\) | 5.15445 | + | 3.74493i | 0.186482 | + | 0.135487i | ||||
\(765\) | −11.6417 | + | 3.19539i | −0.420905 | + | 0.115530i | ||||
\(766\) | 3.47816 | − | 2.52703i | 0.125671 | − | 0.0913052i | ||||
\(767\) | −11.0806 | + | 34.1026i | −0.400097 | + | 1.23137i | ||||
\(768\) | −13.6495 | −0.492533 | ||||||||
\(769\) | −8.26779 | + | 25.4457i | −0.298144 | + | 0.917594i | 0.684003 | + | 0.729479i | \(0.260238\pi\) |
−0.982147 | + | 0.188114i | \(0.939762\pi\) | |||||||
\(770\) | −1.84065 | + | 0.505218i | −0.0663323 | + | 0.0182068i | ||||
\(771\) | −2.18399 | − | 6.72162i | −0.0786543 | − | 0.242073i | ||||
\(772\) | 11.8701 | + | 36.5325i | 0.427216 | + | 1.31483i | ||||
\(773\) | −0.619085 | − | 0.449791i | −0.0222669 | − | 0.0161779i | 0.576596 | − | 0.817029i | \(-0.304381\pi\) |
−0.598863 | + | 0.800851i | \(0.704381\pi\) | |||||||
\(774\) | 2.24210 | 0.0805908 | ||||||||
\(775\) | 2.19746 | − | 5.10170i | 0.0789352 | − | 0.183259i | ||||
\(776\) | −2.22284 | −0.0797952 | ||||||||
\(777\) | 3.76515 | + | 2.73554i | 0.135074 | + | 0.0981371i | ||||
\(778\) | 1.60036 | + | 4.92539i | 0.0573755 | + | 0.176584i | ||||
\(779\) | −18.6225 | − | 57.3141i | −0.667220 | − | 2.05349i | ||||
\(780\) | 15.9085 | + | 5.99593i | 0.569615 | + | 0.214689i | ||||
\(781\) | −10.9442 | + | 33.6827i | −0.391613 | + | 1.20526i | ||||
\(782\) | −0.314831 | −0.0112583 | ||||||||
\(783\) | 0.417431 | − | 1.28472i | 0.0149178 | − | 0.0459121i | ||||
\(784\) | −3.09091 | + | 2.24568i | −0.110390 | + | 0.0802028i | ||||
\(785\) | −0.796373 | + | 17.1962i | −0.0284238 | + | 0.613760i | ||||
\(786\) | 0.757292 | + | 0.550204i | 0.0270117 | + | 0.0196251i | ||||
\(787\) | −35.4620 | + | 25.7646i | −1.26408 | + | 0.918410i | −0.998951 | − | 0.0458014i | \(-0.985416\pi\) |
−0.265133 | + | 0.964212i | \(0.585416\pi\) | |||||||
\(788\) | −26.7543 | + | 19.4381i | −0.953082 | + | 0.692455i | ||||
\(789\) | 2.62924 | + | 1.91025i | 0.0936034 | + | 0.0680068i | ||||
\(790\) | 2.40913 | + | 0.908004i | 0.0857128 | + | 0.0323053i | ||||
\(791\) | −1.11215 | + | 0.808027i | −0.0395436 | + | 0.0287301i | ||||
\(792\) | 1.04719 | − | 3.22291i | 0.0372102 | − | 0.114521i | ||||
\(793\) | −53.8990 | −1.91401 | ||||||||
\(794\) | −1.16321 | + | 3.57998i | −0.0412807 | + | 0.127049i | ||||
\(795\) | 6.96315 | + | 10.5809i | 0.246957 | + | 0.375264i | ||||
\(796\) | −0.923779 | − | 2.84310i | −0.0327425 | − | 0.100771i | ||||
\(797\) | −1.55052 | − | 4.77200i | −0.0549221 | − | 0.169033i | 0.919833 | − | 0.392311i | \(-0.128324\pi\) |
−0.974755 | + | 0.223278i | \(0.928324\pi\) | |||||||
\(798\) | −0.810992 | − | 0.589220i | −0.0287088 | − | 0.0208582i | ||||
\(799\) | −52.2412 | −1.84816 | ||||||||
\(800\) | 10.1505 | + | 0.942174i | 0.358873 | + | 0.0333109i | ||||
\(801\) | 0.426352 | 0.0150644 | ||||||||
\(802\) | 0.954915 | + | 0.693787i | 0.0337192 | + | 0.0244985i | ||||
\(803\) | 5.89055 | + | 18.1293i | 0.207873 | + | 0.639767i | ||||
\(804\) | 2.64460 | + | 8.13925i | 0.0932679 | + | 0.287049i | ||||
\(805\) | −0.469781 | + | 0.587401i | −0.0165576 | + | 0.0207032i | ||||
\(806\) | 0.229705 | − | 0.706959i | 0.00809101 | − | 0.0249016i | ||||
\(807\) | 27.4311 | 0.965620 | ||||||||
\(808\) | 1.77205 | − | 5.45382i | 0.0623406 | − | 0.191865i | ||||
\(809\) | 36.6905 | − | 26.6572i | 1.28997 | − | 0.937219i | 0.290166 | − | 0.956976i | \(-0.406289\pi\) |
0.999805 | + | 0.0197574i | \(0.00628940\pi\) | |||||||
\(810\) | 0.213102 | + | 0.323820i | 0.00748765 | + | 0.0113779i | ||||
\(811\) | 6.25004 | + | 4.54092i | 0.219469 | + | 0.159453i | 0.692087 | − | 0.721814i | \(-0.256691\pi\) |
−0.472619 | + | 0.881267i | \(0.656691\pi\) | |||||||
\(812\) | 2.15285 | − | 1.56414i | 0.0755503 | − | 0.0548905i | ||||
\(813\) | 18.3677 | − | 13.3449i | 0.644185 | − | 0.468028i | ||||
\(814\) | −3.21396 | − | 2.33508i | −0.112649 | − | 0.0818445i | ||||
\(815\) | −10.4454 | − | 15.8723i | −0.365886 | − | 0.555983i | ||||
\(816\) | 16.6874 | − | 12.1241i | 0.584177 | − | 0.424429i | ||||
\(817\) | 23.1094 | − | 71.1236i | 0.808497 | − | 2.48830i | ||||
\(818\) | 4.94029 | 0.172733 | ||||||||
\(819\) | −1.19266 | + | 3.67062i | −0.0416748 | + | 0.128262i | ||||
\(820\) | −28.6734 | + | 35.8524i | −1.00132 | + | 1.25202i | ||||
\(821\) | 9.49461 | + | 29.2214i | 0.331364 | + | 1.01983i | 0.968485 | + | 0.249070i | \(0.0801251\pi\) |
−0.637121 | + | 0.770764i | \(0.719875\pi\) | |||||||
\(822\) | 0.434749 | + | 1.33802i | 0.0151636 | + | 0.0466688i | ||||
\(823\) | −3.08293 | − | 2.23988i | −0.107464 | − | 0.0780772i | 0.532755 | − | 0.846269i | \(-0.321157\pi\) |
−0.640219 | + | 0.768192i | \(0.721157\pi\) | |||||||
\(824\) | −11.2600 | −0.392261 | ||||||||
\(825\) | 9.73922 | − | 22.6109i | 0.339076 | − | 0.787211i | ||||
\(826\) | −1.61065 | −0.0560418 | ||||||||
\(827\) | −15.0693 | − | 10.9485i | −0.524011 | − | 0.380716i | 0.294102 | − | 0.955774i | \(-0.404979\pi\) |
−0.818113 | + | 0.575058i | \(0.804979\pi\) | |||||||
\(828\) | −0.204766 | − | 0.630205i | −0.00711611 | − | 0.0219011i | ||||
\(829\) | 7.05990 | + | 21.7281i | 0.245201 | + | 0.754650i | 0.995603 | + | 0.0936689i | \(0.0298595\pi\) |
−0.750403 | + | 0.660981i | \(0.770140\pi\) | |||||||
\(830\) | 2.67365 | + | 4.06275i | 0.0928038 | + | 0.141020i | ||||
\(831\) | −3.98606 | + | 12.2678i | −0.138275 | + | 0.425566i | ||||
\(832\) | −28.1270 | −0.975128 | ||||||||
\(833\) | 1.66834 | − | 5.13463i | 0.0578046 | − | 0.177904i | ||||
\(834\) | 1.26164 | − | 0.916637i | 0.0436871 | − | 0.0317405i | ||||
\(835\) | 7.82840 | + | 2.95054i | 0.270913 | + | 0.102108i | ||||
\(836\) | −45.3755 | − | 32.9672i | −1.56934 | − | 1.14019i | ||||
\(837\) | −0.898792 | + | 0.653010i | −0.0310668 | + | 0.0225713i | ||||
\(838\) | −1.44203 | + | 1.04770i | −0.0498141 | + | 0.0361921i | ||||
\(839\) | −26.8997 | − | 19.5438i | −0.928681 | − | 0.674726i | 0.0169887 | − | 0.999856i | \(-0.494592\pi\) |
−0.945669 | + | 0.325130i | \(0.894592\pi\) | |||||||
\(840\) | −0.0711936 | + | 1.53730i | −0.00245641 | + | 0.0530418i | ||||
\(841\) | 21.9852 | − | 15.9732i | 0.758112 | − | 0.550800i | ||||
\(842\) | 1.46666 | − | 4.51392i | 0.0505444 | − | 0.155560i | ||||
\(843\) | 18.1774 | 0.626063 | ||||||||
\(844\) | 13.8444 | − | 42.6087i | 0.476544 | − | 1.46665i | ||||
\(845\) | 3.96685 | + | 1.49511i | 0.136464 | + | 0.0514334i | ||||
\(846\) | 0.518378 | + | 1.59540i | 0.0178222 | + | 0.0548511i | ||||
\(847\) | −4.09269 | − | 12.5960i | −0.140626 | − | 0.432803i | ||||
\(848\) | −17.5089 | − | 12.7209i | −0.601257 | − | 0.436839i | ||||
\(849\) | 0.960678 | 0.0329704 | ||||||||
\(850\) | −4.02406 | + | 2.38902i | −0.138024 | + | 0.0819427i | ||||
\(851\) | −1.56548 | −0.0536638 | ||||||||
\(852\) | 11.4633 | + | 8.32855i | 0.392725 | + | 0.285332i | ||||
\(853\) | 1.92579 | + | 5.92698i | 0.0659379 | + | 0.202936i | 0.978597 | − | 0.205785i | \(-0.0659749\pi\) |
−0.912659 | + | 0.408721i | \(0.865975\pi\) | |||||||
\(854\) | −0.748142 | − | 2.30254i | −0.0256009 | − | 0.0787915i | ||||
\(855\) | 12.4686 | − | 3.42236i | 0.426417 | − | 0.117042i | ||||
\(856\) | 2.49485 | − | 7.67837i | 0.0852723 | − | 0.262441i | ||||
\(857\) | −17.2481 | −0.589183 | −0.294592 | − | 0.955623i | \(-0.595184\pi\) | ||||
−0.294592 | + | 0.955623i | \(0.595184\pi\) | |||||||
\(858\) | 1.01806 | − | 3.13326i | 0.0347559 | − | 0.106968i | ||||
\(859\) | −24.1357 | + | 17.5356i | −0.823500 | + | 0.598308i | −0.917713 | − | 0.397244i | \(-0.869967\pi\) |
0.0942126 | + | 0.995552i | \(0.469967\pi\) | |||||||
\(860\) | −54.9375 | + | 15.0792i | −1.87335 | + | 0.514195i | ||||
\(861\) | −8.43156 | − | 6.12589i | −0.287347 | − | 0.208770i | ||||
\(862\) | 3.68111 | − | 2.67448i | 0.125379 | − | 0.0910931i | ||||
\(863\) | −14.6524 | + | 10.6456i | −0.498774 | + | 0.362380i | −0.808548 | − | 0.588430i | \(-0.799746\pi\) |
0.309775 | + | 0.950810i | \(0.399746\pi\) | |||||||
\(864\) | −1.64944 | − | 1.19839i | −0.0561150 | − | 0.0407700i | ||||
\(865\) | 30.6157 | − | 38.2810i | 1.04097 | − | 1.30159i | ||||
\(866\) | −0.602645 | + | 0.437847i | −0.0204787 | + | 0.0148786i | ||||
\(867\) | −3.75387 | + | 11.5532i | −0.127488 | + | 0.392368i | ||||
\(868\) | −2.18855 | −0.0742841 | ||||||||
\(869\) | −10.1053 | + | 31.1010i | −0.342800 | + | 1.05503i | ||||
\(870\) | 0.0242247 | − | 0.523089i | 0.000821295 | − | 0.0177344i | ||||
\(871\) | 5.18130 | + | 15.9464i | 0.175562 | + | 0.540323i | ||||
\(872\) | 1.83479 | + | 5.64691i | 0.0621339 | + | 0.191229i | ||||
\(873\) | 2.61293 | + | 1.89840i | 0.0884342 | + | 0.0642512i | ||||
\(874\) | 0.337194 | 0.0114058 | ||||||||
\(875\) | −1.54722 | + | 11.0728i | −0.0523057 | + | 0.374328i | ||||
\(876\) | 7.62647 | 0.257675 | ||||||||
\(877\) | −30.3100 | − | 22.0215i | −1.02350 | − | 0.743614i | −0.0564997 | − | 0.998403i | \(-0.517994\pi\) |
−0.966997 | + | 0.254789i | \(0.917994\pi\) | |||||||
\(878\) | 0.823862 | + | 2.53559i | 0.0278040 | + | 0.0855719i | ||||
\(879\) | −7.86662 | − | 24.2110i | −0.265335 | − | 0.816616i | ||||
\(880\) | −1.94597 | + | 42.0197i | −0.0655986 | + | 1.41648i | ||||
\(881\) | −1.05024 | + | 3.23231i | −0.0353835 | + | 0.108899i | −0.967188 | − | 0.254060i | \(-0.918234\pi\) |
0.931805 | + | 0.362960i | \(0.118234\pi\) | |||||||
\(882\) | −0.173362 | −0.00583740 | ||||||||
\(883\) | −9.30576 | + | 28.6402i | −0.313164 | + | 0.963819i | 0.663340 | + | 0.748318i | \(0.269138\pi\) |
−0.976504 | + | 0.215501i | \(0.930862\pi\) | |||||||
\(884\) | 33.2084 | − | 24.1273i | 1.11692 | − | 0.811488i | ||||
\(885\) | 12.9755 | − | 16.2241i | 0.436166 | − | 0.545369i | ||||
\(886\) | −2.79217 | − | 2.02863i | −0.0938047 | − | 0.0681531i | ||||
\(887\) | 29.6912 | − | 21.5719i | 0.996934 | − | 0.724315i | 0.0355051 | − | 0.999369i | \(-0.488696\pi\) |
0.961429 | + | 0.275055i | \(0.0886960\pi\) | |||||||
\(888\) | −2.59132 | + | 1.88270i | −0.0869590 | + | 0.0631794i | ||||
\(889\) | −5.59588 | − | 4.06564i | −0.187680 | − | 0.136357i | ||||
\(890\) | 0.159380 | − | 0.0437465i | 0.00534244 | − | 0.00146639i | ||||
\(891\) | −3.98347 | + | 2.89416i | −0.133451 | + | 0.0969580i | ||||
\(892\) | 13.6364 | − | 41.9686i | 0.456581 | − | 1.40521i | ||||
\(893\) | 55.9520 | 1.87236 | ||||||||
\(894\) | −0.138728 | + | 0.426961i | −0.00463976 | + | 0.0142797i | ||||
\(895\) | −9.36266 | + | 2.56985i | −0.312959 | + | 0.0859006i | ||||
\(896\) | −1.65047 | − | 5.07964i | −0.0551385 | − | 0.169699i | ||||
\(897\) | −0.401177 | − | 1.23470i | −0.0133949 | − | 0.0412253i | ||||
\(898\) | 1.63358 | + | 1.18686i | 0.0545132 | + | 0.0396061i | ||||
\(899\) | 1.50073 | 0.0500523 | ||||||||
\(900\) | −7.39940 | − | 6.50123i | −0.246647 | − | 0.216708i | ||||
\(901\) | 30.5826 | 1.01885 | ||||||||
\(902\) | 7.19724 | + | 5.22910i | 0.239642 | + | 0.174110i | ||||
\(903\) | −3.99654 | − | 12.3001i | −0.132997 | − | 0.409321i | ||||
\(904\) | −0.292367 | − | 0.899812i | −0.00972397 | − | 0.0299273i | ||||
\(905\) | −18.0241 | − | 6.79333i | −0.599142 | − | 0.225818i | ||||
\(906\) | −1.13436 | + | 3.49120i | −0.0376865 | + | 0.115987i | ||||
\(907\) | 37.5705 | 1.24751 | 0.623754 | − | 0.781621i | \(-0.285607\pi\) | ||||
0.623754 | + | 0.781621i | \(0.285607\pi\) | |||||||
\(908\) | 5.32845 | − | 16.3993i | 0.176831 | − | 0.544230i | ||||
\(909\) | −6.74084 | + | 4.89751i | −0.223579 | + | 0.162440i | ||||
\(910\) | −0.0692133 | + | 1.49454i | −0.00229440 | + | 0.0495434i | ||||
\(911\) | −26.6532 | − | 19.3647i | −0.883059 | − | 0.641580i | 0.0509999 | − | 0.998699i | \(-0.483759\pi\) |
−0.934059 | + | 0.357119i | \(0.883759\pi\) | |||||||
\(912\) | −17.8728 | + | 12.9853i | −0.591826 | + | 0.429987i | ||||
\(913\) | −49.9779 | + | 36.3111i | −1.65403 | + | 1.20172i | ||||
\(914\) | −0.905146 | − | 0.657627i | −0.0299396 | − | 0.0217524i | ||||
\(915\) | 29.2206 | + | 11.0133i | 0.966004 | + | 0.364089i | ||||
\(916\) | −17.0109 | + | 12.3591i | −0.562055 | + | 0.408357i | ||||
\(917\) | 1.66853 | − | 5.13521i | 0.0550997 | − | 0.169579i | ||||
\(918\) | 0.935958 | 0.0308912 | ||||||||
\(919\) | 8.33603 | − | 25.6557i | 0.274980 | − | 0.846303i | −0.714244 | − | 0.699897i | \(-0.753229\pi\) |
0.989225 | − | 0.146406i | \(-0.0467706\pi\) | |||||||
\(920\) | −0.284573 | − | 0.432424i | −0.00938210 | − | 0.0142566i | ||||
\(921\) | 4.46786 | + | 13.7507i | 0.147221 | + | 0.453100i | ||||
\(922\) | −0.575030 | − | 1.76976i | −0.0189376 | − | 0.0582839i | ||||
\(923\) | 22.4588 | + | 16.3173i | 0.739241 | + | 0.537090i | ||||
\(924\) | −9.69970 | −0.319097 | ||||||||
\(925\) | −20.0093 | + | 11.8792i | −0.657903 | + | 0.390587i | ||||
\(926\) | −3.96505 | −0.130299 | ||||||||
\(927\) | 13.2361 | + | 9.61656i | 0.434729 | + | 0.315849i | ||||
\(928\) | 0.851065 | + | 2.61931i | 0.0279376 | + | 0.0859831i | ||||
\(929\) | −4.41083 | − | 13.5751i | −0.144715 | − | 0.445386i | 0.852260 | − | 0.523119i | \(-0.175232\pi\) |
−0.996974 | + | 0.0777333i | \(0.975232\pi\) | |||||||
\(930\) | −0.268986 | + | 0.336332i | −0.00882040 | + | 0.0110288i | ||||
\(931\) | −1.78685 | + | 5.49935i | −0.0585616 | + | 0.180234i | ||||
\(932\) | 15.6500 | 0.512632 | ||||||||
\(933\) | −1.27794 | + | 3.93308i | −0.0418378 | + | 0.128763i | ||||
\(934\) | −0.119079 | + | 0.0865158i | −0.00389638 | + | 0.00283088i | ||||
\(935\) | −32.6769 | − | 49.6542i | −1.06865 | − | 1.62387i | ||||
\(936\) | −2.14896 | − | 1.56131i | −0.0702410 | − | 0.0510331i | ||||
\(937\) | 28.3431 | − | 20.5925i | 0.925929 | − | 0.672727i | −0.0190640 | − | 0.999818i | \(-0.506069\pi\) |
0.944993 | + | 0.327092i | \(0.106069\pi\) | |||||||
\(938\) | −0.609306 | + | 0.442686i | −0.0198945 | + | 0.0144542i | ||||
\(939\) | 18.9735 | + | 13.7850i | 0.619175 | + | 0.449857i | ||||
\(940\) | −23.4314 | − | 35.6053i | −0.764249 | − | 1.16132i | ||||
\(941\) | 2.91523 | − | 2.11804i | 0.0950338 | − | 0.0690461i | −0.539254 | − | 0.842143i | \(-0.681294\pi\) |
0.634287 | + | 0.773097i | \(0.281294\pi\) | |||||||
\(942\) | 0.412430 | − | 1.26933i | 0.0134377 | − | 0.0413569i | ||||
\(943\) | 3.50568 | 0.114161 | ||||||||
\(944\) | −10.9688 | + | 33.7585i | −0.357005 | + | 1.09875i | ||||
\(945\) | 1.39661 | − | 1.74628i | 0.0454317 | − | 0.0568064i | ||||
\(946\) | 3.41147 | + | 10.4994i | 0.110917 | + | 0.341366i | ||||
\(947\) | −11.1514 | − | 34.3206i | −0.362373 | − | 1.11527i | −0.951610 | − | 0.307308i | \(-0.900572\pi\) |
0.589237 | − | 0.807960i | \(-0.299428\pi\) | |||||||
\(948\) | 10.5846 | + | 7.69019i | 0.343773 | + | 0.249766i | ||||
\(949\) | 14.9418 | 0.485031 | ||||||||
\(950\) | 4.30989 | − | 2.55872i | 0.139831 | − | 0.0830157i | ||||
\(951\) | −20.8792 | −0.677056 | ||||||||
\(952\) | 3.00607 | + | 2.18404i | 0.0974272 | + | 0.0707850i | ||||
\(953\) | −5.73983 | − | 17.6654i | −0.185931 | − | 0.572238i | 0.814032 | − | 0.580820i | \(-0.197268\pi\) |
−0.999963 | + | 0.00858256i | \(0.997268\pi\) | |||||||
\(954\) | −0.303464 | − | 0.933967i | −0.00982501 | − | 0.0302383i | ||||
\(955\) | −3.97562 | − | 6.04116i | −0.128648 | − | 0.195487i | ||||
\(956\) | −17.8048 | + | 54.7977i | −0.575850 | + | 1.77228i | ||||
\(957\) | 6.65129 | 0.215006 | ||||||||
\(958\) | 1.16092 | − | 3.57295i | 0.0375077 | − | 0.115437i | ||||
\(959\) | 6.56538 | − | 4.77003i | 0.212007 | − | 0.154032i | ||||
\(960\) | 15.2487 | + | 5.74725i | 0.492149 | + | 0.185492i | ||||
\(961\) | 24.0810 | + | 17.4959i | 0.776806 | + | 0.564383i | ||||
\(962\) | −2.51924 | + | 1.83033i | −0.0812235 | + | 0.0590123i | ||||
\(963\) | −9.49034 | + | 6.89514i | −0.305822 | + | 0.222193i | ||||
\(964\) | 28.7538 | + | 20.8909i | 0.926098 | + | 0.672849i | ||||
\(965\) | 2.01707 | − | 43.5551i | 0.0649319 | − | 1.40209i | ||||
\(966\) | 0.0471773 | − | 0.0342763i | 0.00151790 | − | 0.00110282i | ||||
\(967\) | 6.49368 | − | 19.9855i | 0.208823 | − | 0.642690i | −0.790712 | − | 0.612188i | \(-0.790289\pi\) |
0.999535 | − | 0.0305019i | \(-0.00971056\pi\) | |||||||
\(968\) | 9.11516 | 0.292972 | ||||||||
\(969\) | 9.64696 | − | 29.6903i | 0.309905 | − | 0.953789i | ||||
\(970\) | 1.17156 | + | 0.441563i | 0.0376165 | + | 0.0141777i | ||||
\(971\) | −7.17014 | − | 22.0674i | −0.230101 | − | 0.708177i | −0.997734 | − | 0.0672874i | \(-0.978566\pi\) |
0.767633 | − | 0.640890i | \(-0.221434\pi\) | |||||||
\(972\) | 0.608747 | + | 1.87353i | 0.0195256 | + | 0.0600935i | ||||
\(973\) | −7.27751 | − | 5.28742i | −0.233306 | − | 0.169507i | ||||
\(974\) | −1.05814 | −0.0339051 | ||||||||
\(975\) | −14.4969 | − | 12.7372i | −0.464272 | − | 0.407917i | ||||
\(976\) | −53.3552 | −1.70786 | ||||||||
\(977\) | 0.0522863 | + | 0.0379882i | 0.00167279 | + | 0.00121535i | 0.588621 | − | 0.808409i | \(-0.299671\pi\) |
−0.586949 | + | 0.809624i | \(0.699671\pi\) | |||||||
\(978\) | 0.455226 | + | 1.40104i | 0.0145565 | + | 0.0448004i | ||||
\(979\) | 0.648716 | + | 1.99654i | 0.0207331 | + | 0.0638098i | ||||
\(980\) | 4.24783 | − | 1.16594i | 0.135692 | − | 0.0372445i | ||||
\(981\) | 2.66593 | − | 8.20489i | 0.0851166 | − | 0.261962i | ||||
\(982\) | 5.71976 | 0.182525 | ||||||||
\(983\) | 7.09738 | − | 21.8435i | 0.226371 | − | 0.696699i | −0.771778 | − | 0.635892i | \(-0.780633\pi\) |
0.998150 | − | 0.0608071i | \(-0.0193675\pi\) | |||||||
\(984\) | 5.80292 | − | 4.21607i | 0.184990 | − | 0.134403i | ||||
\(985\) | 36.1988 | − | 9.93579i | 1.15339 | − | 0.316581i | ||||
\(986\) | −1.02286 | − | 0.743152i | −0.0325745 | − | 0.0236668i | ||||
\(987\) | 7.82831 | − | 5.68760i | 0.249178 | − | 0.181038i | ||||
\(988\) | −35.5672 | + | 25.8411i | −1.13154 | + | 0.822114i | ||||
\(989\) | 3.51950 | + | 2.55707i | 0.111914 | + | 0.0813100i | ||||
\(990\) | −1.19215 | + | 1.49063i | −0.0378891 | + | 0.0473755i | ||||
\(991\) | −3.18769 | + | 2.31600i | −0.101260 | + | 0.0735700i | −0.637263 | − | 0.770646i | \(-0.719934\pi\) |
0.536003 | + | 0.844216i | \(0.319934\pi\) | |||||||
\(992\) | 0.699942 | − | 2.15420i | 0.0222232 | − | 0.0683959i | ||||
\(993\) | −17.3812 | −0.551577 | ||||||||
\(994\) | −0.385330 | + | 1.18592i | −0.0122219 | + | 0.0376152i | ||||
\(995\) | −0.156976 | + | 3.38962i | −0.00497649 | + | 0.107458i | ||||
\(996\) | 7.63754 | + | 23.5059i | 0.242005 | + | 0.744814i | ||||
\(997\) | −6.02515 | − | 18.5435i | −0.190818 | − | 0.587278i | 0.809182 | − | 0.587559i | \(-0.199911\pi\) |
−1.00000 | 0.000280189i | \(0.999911\pi\) | ||||||||
\(998\) | −5.67940 | − | 4.12632i | −0.179778 | − | 0.130616i | ||||
\(999\) | 4.65399 | 0.147246 |
(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 | 525.2.n.b.316.3 | yes | 20 | |
25.11 | even | 5 | inner | 525.2.n.b.211.3 | ✓ | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
525.2.n.b.211.3 | ✓ | 20 | 25.11 | even | 5 | inner | |
525.2.n.b.316.3 | yes | 20 | 1.1 | even | 1 | trivial |