Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [44,2,Mod(7,44)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(44, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("44.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 44 = 2^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 44.g (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.351341768894\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 5 x^{15} + 13 x^{14} - 25 x^{13} + 35 x^{12} - 30 x^{11} - 2 x^{10} + 60 x^{9} - 116 x^{8} + \cdots + 256 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 7.2 | ||
Root | \(0.0737040 - 1.41229i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 44.7 |
Dual form | 44.2.g.a.19.2 |
$q$-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 \(\left(\mathbb{Z}/44\mathbb{Z}\right)^\times\).
\(n\) | \(13\) | \(23\) |
\(\chi(n)\) | \(e\left(\frac{7}{10}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0737040 | − | 1.41229i | −0.0521166 | − | 0.998641i | ||||
\(3\) | 1.70537 | + | 0.554109i | 0.984597 | + | 0.319915i | 0.756694 | − | 0.653769i | \(-0.226813\pi\) |
0.227903 | + | 0.973684i | \(0.426813\pi\) | |||||||
\(4\) | −1.98914 | + | 0.208183i | −0.994568 | + | 0.104092i | ||||
\(5\) | −2.39991 | + | 1.74363i | −1.07327 | + | 0.779777i | −0.976497 | − | 0.215529i | \(-0.930852\pi\) |
−0.0967736 | + | 0.995306i | \(0.530852\pi\) | |||||||
\(6\) | 0.656871 | − | 2.44932i | 0.268166 | − | 0.999932i | ||||
\(7\) | −0.815620 | − | 2.51022i | −0.308276 | − | 0.948775i | −0.978435 | − | 0.206557i | \(-0.933774\pi\) |
0.670159 | − | 0.742218i | \(-0.266226\pi\) | |||||||
\(8\) | 0.440622 | + | 2.79390i | 0.155784 | + | 0.987791i | ||||
\(9\) | 0.174207 | + | 0.126569i | 0.0580690 | + | 0.0421896i | ||||
\(10\) | 2.63940 | + | 3.26086i | 0.834653 | + | 1.03117i | ||||
\(11\) | 1.40980 | + | 3.00208i | 0.425069 | + | 0.905161i | ||||
\(12\) | −3.50757 | − | 0.747168i | −1.01255 | − | 0.215689i | ||||
\(13\) | 1.39991 | − | 1.92681i | 0.388264 | − | 0.534400i | −0.569486 | − | 0.822001i | \(-0.692858\pi\) |
0.957750 | + | 0.287601i | \(0.0928577\pi\) | |||||||
\(14\) | −3.48505 | + | 1.33691i | −0.931419 | + | 0.357303i | ||||
\(15\) | −5.05890 | + | 1.64374i | −1.30620 | + | 0.424411i | ||||
\(16\) | 3.91332 | − | 0.828208i | 0.978330 | − | 0.207052i | ||||
\(17\) | 0.468176 | + | 0.644389i | 0.113549 | + | 0.156287i | 0.862009 | − | 0.506893i | \(-0.169206\pi\) |
−0.748460 | + | 0.663180i | \(0.769206\pi\) | |||||||
\(18\) | 0.165912 | − | 0.255360i | 0.0391059 | − | 0.0601889i | ||||
\(19\) | 0.624029 | − | 1.92056i | 0.143162 | − | 0.440607i | −0.853608 | − | 0.520916i | \(-0.825591\pi\) |
0.996770 | + | 0.0803085i | \(0.0255906\pi\) | |||||||
\(20\) | 4.41074 | − | 3.96794i | 0.986272 | − | 0.887259i | ||||
\(21\) | − | 4.73280i | − | 1.03278i | ||||||
\(22\) | 4.13590 | − | 2.21231i | 0.881777 | − | 0.471666i | ||||
\(23\) | − | 2.61934i | − | 0.546170i | −0.961990 | − | 0.273085i | \(-0.911956\pi\) | ||
0.961990 | − | 0.273085i | \(-0.0880440\pi\) | |||||||
\(24\) | −0.796698 | + | 5.00878i | −0.162625 | + | 1.02241i | ||||
\(25\) | 1.17421 | − | 3.61384i | 0.234841 | − | 0.722768i | ||||
\(26\) | −2.82439 | − | 1.83506i | −0.553909 | − | 0.359886i | ||||
\(27\) | −2.93498 | − | 4.03965i | −0.564837 | − | 0.777431i | ||||
\(28\) | 2.14496 | + | 4.82337i | 0.405360 | + | 0.911532i | ||||
\(29\) | −1.08052 | + | 0.351083i | −0.200648 | + | 0.0651944i | −0.407617 | − | 0.913153i | \(-0.633640\pi\) |
0.206969 | + | 0.978348i | \(0.433640\pi\) | |||||||
\(30\) | 2.69430 | + | 7.02349i | 0.491909 | + | 1.28231i | ||||
\(31\) | −3.51929 | + | 4.84389i | −0.632083 | + | 0.869988i | −0.998162 | − | 0.0605960i | \(-0.980700\pi\) |
0.366079 | + | 0.930584i | \(0.380700\pi\) | |||||||
\(32\) | −1.45810 | − | 5.46571i | −0.257758 | − | 0.966210i | ||||
\(33\) | 0.740748 | + | 5.90084i | 0.128948 | + | 1.02720i | ||||
\(34\) | 0.875558 | − | 0.708695i | 0.150157 | − | 0.121540i | ||||
\(35\) | 6.33432 | + | 4.60215i | 1.07070 | + | 0.777906i | ||||
\(36\) | −0.372871 | − | 0.215496i | −0.0621451 | − | 0.0359159i | ||||
\(37\) | 2.69856 | + | 8.30530i | 0.443640 | + | 1.36538i | 0.883969 | + | 0.467546i | \(0.154862\pi\) |
−0.440329 | + | 0.897837i | \(0.645138\pi\) | |||||||
\(38\) | −2.75839 | − | 0.739757i | −0.447470 | − | 0.120004i | ||||
\(39\) | 3.45502 | − | 2.51022i | 0.553247 | − | 0.401957i | ||||
\(40\) | −5.92898 | − | 5.93680i | −0.937455 | − | 0.938691i | ||||
\(41\) | −9.28420 | − | 3.01662i | −1.44995 | − | 0.471117i | −0.524965 | − | 0.851124i | \(-0.675922\pi\) |
−0.924984 | + | 0.380007i | \(0.875922\pi\) | |||||||
\(42\) | −6.68410 | + | 0.348827i | −1.03138 | + | 0.0538251i | ||||
\(43\) | 6.14178 | 0.936613 | 0.468306 | − | 0.883566i | \(-0.344864\pi\) | ||||
0.468306 | + | 0.883566i | \(0.344864\pi\) | |||||||
\(44\) | −3.42926 | − | 5.67805i | −0.516980 | − | 0.855998i | ||||
\(45\) | −0.638770 | −0.0952222 | ||||||||
\(46\) | −3.69927 | + | 0.193056i | −0.545428 | + | 0.0284645i | ||||
\(47\) | 3.31173 | + | 1.07605i | 0.483066 | + | 0.156958i | 0.540419 | − | 0.841396i | \(-0.318266\pi\) |
−0.0573525 | + | 0.998354i | \(0.518266\pi\) | |||||||
\(48\) | 7.13258 | + | 0.756002i | 1.02950 | + | 0.109120i | ||||
\(49\) | 0.0271441 | − | 0.0197214i | 0.00387774 | − | 0.00281734i | ||||
\(50\) | −5.19034 | − | 1.39197i | −0.734024 | − | 0.196854i | ||||
\(51\) | 0.441352 | + | 1.35834i | 0.0618017 | + | 0.190206i | ||||
\(52\) | −2.38348 | + | 4.12412i | −0.330529 | + | 0.571912i | ||||
\(53\) | 6.63597 | + | 4.82132i | 0.911521 | + | 0.662259i | 0.941399 | − | 0.337295i | \(-0.109512\pi\) |
−0.0298779 | + | 0.999554i | \(0.509512\pi\) | |||||||
\(54\) | −5.48885 | + | 4.44279i | −0.746938 | + | 0.604586i | ||||
\(55\) | −8.61791 | − | 4.74654i | −1.16204 | − | 0.640023i | ||||
\(56\) | 6.65392 | − | 3.38482i | 0.889167 | − | 0.452315i | ||||
\(57\) | 2.12840 | − | 2.92949i | 0.281914 | − | 0.388021i | ||||
\(58\) | 0.575470 | + | 1.50014i | 0.0755629 | + | 0.196977i | ||||
\(59\) | 0.712586 | − | 0.231533i | 0.0927708 | − | 0.0301431i | −0.262264 | − | 0.964996i | \(-0.584469\pi\) |
0.355035 | + | 0.934853i | \(0.384469\pi\) | |||||||
\(60\) | 9.72064 | − | 4.32279i | 1.25493 | − | 0.558070i | ||||
\(61\) | −3.71822 | − | 5.11770i | −0.476070 | − | 0.655254i | 0.501674 | − | 0.865057i | \(-0.332718\pi\) |
−0.977744 | + | 0.209803i | \(0.932718\pi\) | |||||||
\(62\) | 7.10037 | + | 4.61325i | 0.901747 | + | 0.585883i | ||||
\(63\) | 0.175629 | − | 0.540530i | 0.0221272 | − | 0.0681004i | ||||
\(64\) | −7.61170 | + | 2.46211i | −0.951463 | + | 0.307763i | ||||
\(65\) | 7.06508i | 0.876316i | ||||||||
\(66\) | 8.27911 | − | 1.48107i | 1.01909 | − | 0.182307i | ||||
\(67\) | 5.40656i | 0.660517i | 0.943891 | + | 0.330258i | \(0.107136\pi\) | ||||
−0.943891 | + | 0.330258i | \(0.892864\pi\) | |||||||
\(68\) | −1.06542 | − | 1.18431i | −0.129201 | − | 0.143619i | ||||
\(69\) | 1.45140 | − | 4.46695i | 0.174728 | − | 0.537757i | ||||
\(70\) | 6.03272 | − | 9.28511i | 0.721048 | − | 1.10978i | ||||
\(71\) | −2.56776 | − | 3.53422i | −0.304737 | − | 0.419434i | 0.628994 | − | 0.777410i | \(-0.283467\pi\) |
−0.933731 | + | 0.357976i | \(0.883467\pi\) | |||||||
\(72\) | −0.276860 | + | 0.542485i | −0.0326283 | + | 0.0639325i | ||||
\(73\) | 0.845619 | − | 0.274758i | 0.0989722 | − | 0.0321580i | −0.259112 | − | 0.965847i | \(-0.583430\pi\) |
0.358084 | + | 0.933689i | \(0.383430\pi\) | |||||||
\(74\) | 11.5306 | − | 4.42328i | 1.34041 | − | 0.514196i | ||||
\(75\) | 4.00492 | − | 5.51230i | 0.462448 | − | 0.636506i | ||||
\(76\) | −0.841449 | + | 3.95017i | −0.0965208 | + | 0.453116i | ||||
\(77\) | 6.38602 | − | 5.98746i | 0.727755 | − | 0.682334i | ||||
\(78\) | −3.79981 | − | 4.69449i | −0.430244 | − | 0.531546i | ||||
\(79\) | −2.17960 | − | 1.58357i | −0.245224 | − | 0.178166i | 0.458383 | − | 0.888755i | \(-0.348429\pi\) |
−0.703608 | + | 0.710589i | \(0.748429\pi\) | |||||||
\(80\) | −7.94751 | + | 8.81102i | −0.888559 | + | 0.985102i | ||||
\(81\) | −2.96645 | − | 9.12979i | −0.329605 | − | 1.01442i | ||||
\(82\) | −3.57606 | + | 13.3343i | −0.394910 | + | 1.47253i | ||||
\(83\) | −12.1904 | + | 8.85684i | −1.33807 | + | 0.972164i | −0.338557 | + | 0.940946i | \(0.609939\pi\) |
−0.999513 | + | 0.0312181i | \(0.990061\pi\) | |||||||
\(84\) | 0.985290 | + | 9.41419i | 0.107504 | + | 1.02717i | ||||
\(85\) | −2.24716 | − | 0.730145i | −0.243738 | − | 0.0791954i | ||||
\(86\) | −0.452674 | − | 8.67398i | −0.0488130 | − | 0.935340i | ||||
\(87\) | −2.03723 | −0.218414 | ||||||||
\(88\) | −7.76631 | + | 5.26161i | −0.827891 | + | 0.560889i | ||||
\(89\) | 4.25121 | 0.450628 | 0.225314 | − | 0.974286i | \(-0.427659\pi\) | ||||
0.225314 | + | 0.974286i | \(0.427659\pi\) | |||||||
\(90\) | 0.0470799 | + | 0.902130i | 0.00496266 | + | 0.0950928i | ||||
\(91\) | −5.97850 | − | 1.94253i | −0.626717 | − | 0.203633i | ||||
\(92\) | 0.545302 | + | 5.21022i | 0.0568517 | + | 0.543203i | ||||
\(93\) | −8.68574 | + | 6.31056i | −0.900669 | + | 0.654375i | ||||
\(94\) | 1.27561 | − | 4.75644i | 0.131569 | − | 0.490590i | ||||
\(95\) | 1.85115 | + | 5.69725i | 0.189924 | + | 0.584525i | ||||
\(96\) | 0.541996 | − | 10.1290i | 0.0553172 | − | 1.03379i | ||||
\(97\) | −5.92705 | − | 4.30625i | −0.601801 | − | 0.437234i | 0.244717 | − | 0.969595i | \(-0.421305\pi\) |
−0.846518 | + | 0.532361i | \(0.821305\pi\) | |||||||
\(98\) | −0.0298530 | − | 0.0368819i | −0.00301561 | − | 0.00372564i | ||||
\(99\) | −0.134373 | + | 0.701419i | −0.0135050 | + | 0.0704953i | ||||
\(100\) | −1.58332 | + | 7.43286i | −0.158332 | + | 0.743286i | ||||
\(101\) | −3.15448 | + | 4.34177i | −0.313882 | + | 0.432022i | −0.936587 | − | 0.350435i | \(-0.886034\pi\) |
0.622705 | + | 0.782457i | \(0.286034\pi\) | |||||||
\(102\) | 1.88585 | − | 0.723433i | 0.186727 | − | 0.0716306i | ||||
\(103\) | 10.2168 | − | 3.31964i | 1.00669 | − | 0.327094i | 0.241155 | − | 0.970487i | \(-0.422474\pi\) |
0.765536 | + | 0.643392i | \(0.222474\pi\) | |||||||
\(104\) | 6.00013 | + | 3.06220i | 0.588361 | + | 0.300273i | ||||
\(105\) | 8.25228 | + | 11.3583i | 0.805340 | + | 1.10846i | ||||
\(106\) | 6.32001 | − | 9.72728i | 0.613854 | − | 0.944797i | ||||
\(107\) | 4.87622 | − | 15.0075i | 0.471402 | − | 1.45083i | −0.379347 | − | 0.925255i | \(-0.623851\pi\) |
0.850749 | − | 0.525572i | \(-0.176149\pi\) | |||||||
\(108\) | 6.67906 | + | 7.42440i | 0.642693 | + | 0.714414i | ||||
\(109\) | − | 3.35140i | − | 0.321006i | −0.987035 | − | 0.160503i | \(-0.948688\pi\) | ||
0.987035 | − | 0.160503i | \(-0.0513116\pi\) | |||||||
\(110\) | −6.06832 | + | 12.5208i | −0.578592 | + | 1.19381i | ||||
\(111\) | 15.6589i | 1.48628i | ||||||||
\(112\) | −5.27077 | − | 9.14780i | −0.498041 | − | 0.864385i | ||||
\(113\) | 0.739583 | − | 2.27620i | 0.0695741 | − | 0.214127i | −0.910224 | − | 0.414116i | \(-0.864091\pi\) |
0.979798 | + | 0.199989i | \(0.0640907\pi\) | |||||||
\(114\) | −4.29417 | − | 2.79001i | −0.402186 | − | 0.261308i | ||||
\(115\) | 4.56717 | + | 6.28617i | 0.425891 | + | 0.586188i | ||||
\(116\) | 2.07621 | − | 0.923297i | 0.192772 | − | 0.0857260i | ||||
\(117\) | 0.487747 | − | 0.158479i | 0.0450922 | − | 0.0146514i | ||||
\(118\) | −0.379513 | − | 0.989314i | −0.0349370 | − | 0.0910737i | ||||
\(119\) | 1.23570 | − | 1.70080i | 0.113277 | − | 0.155912i | ||||
\(120\) | −6.82149 | − | 13.4098i | −0.622714 | − | 1.22414i | ||||
\(121\) | −7.02495 | + | 8.46464i | −0.638632 | + | 0.769512i | ||||
\(122\) | −6.95363 | + | 5.62841i | −0.629552 | + | 0.509572i | ||||
\(123\) | −14.1615 | − | 10.2889i | −1.27690 | − | 0.927721i | ||||
\(124\) | 5.99193 | − | 10.3678i | 0.538091 | − | 0.931056i | ||||
\(125\) | −1.10019 | − | 3.38604i | −0.0984040 | − | 0.302856i | ||||
\(126\) | −0.776331 | − | 0.208200i | −0.0691611 | − | 0.0185479i | ||||
\(127\) | 12.8000 | − | 9.29974i | 1.13582 | − | 0.825218i | 0.149285 | − | 0.988794i | \(-0.452303\pi\) |
0.986531 | + | 0.163576i | \(0.0523028\pi\) | |||||||
\(128\) | 4.03822 | + | 10.5685i | 0.356932 | + | 0.934130i | ||||
\(129\) | 10.4740 | + | 3.40322i | 0.922186 | + | 0.299636i | ||||
\(130\) | 9.97796 | − | 0.520725i | 0.875125 | − | 0.0456706i | ||||
\(131\) | −9.23509 | −0.806874 | −0.403437 | − | 0.915007i | \(-0.632185\pi\) | ||||
−0.403437 | + | 0.915007i | \(0.632185\pi\) | |||||||
\(132\) | −2.70190 | − | 11.5834i | −0.235171 | − | 1.00820i | ||||
\(133\) | −5.33001 | −0.462170 | ||||||||
\(134\) | 7.63564 | − | 0.398485i | 0.659619 | − | 0.0344239i | ||||
\(135\) | 14.0874 | + | 4.57726i | 1.21245 | + | 0.393948i | ||||
\(136\) | −1.59407 | + | 1.59197i | −0.136690 | + | 0.136510i | ||||
\(137\) | 12.3113 | − | 8.94472i | 1.05183 | − | 0.764199i | 0.0792699 | − | 0.996853i | \(-0.474741\pi\) |
0.972559 | + | 0.232654i | \(0.0747411\pi\) | |||||||
\(138\) | −6.41561 | − | 1.72057i | −0.546133 | − | 0.146464i | ||||
\(139\) | 1.71242 | + | 5.27029i | 0.145246 | + | 0.447020i | 0.997042 | − | 0.0768523i | \(-0.0244870\pi\) |
−0.851797 | + | 0.523872i | \(0.824487\pi\) | |||||||
\(140\) | −13.5579 | − | 7.83561i | −1.14585 | − | 0.662230i | ||||
\(141\) | 5.05149 | + | 3.67012i | 0.425412 | + | 0.309080i | ||||
\(142\) | −4.80209 | + | 3.88691i | −0.402982 | + | 0.326182i | ||||
\(143\) | 7.75801 | + | 1.48623i | 0.648757 | + | 0.124284i | ||||
\(144\) | 0.786553 | + | 0.351024i | 0.0655461 | + | 0.0292520i | ||||
\(145\) | 1.98099 | − | 2.72660i | 0.164512 | − | 0.226432i | ||||
\(146\) | −0.450364 | − | 1.17401i | −0.0372724 | − | 0.0971617i | ||||
\(147\) | 0.0572187 | − | 0.0185915i | 0.00471932 | − | 0.00153340i | ||||
\(148\) | −7.09682 | − | 15.9586i | −0.583355 | − | 1.31179i | ||||
\(149\) | −1.25960 | − | 1.73369i | −0.103190 | − | 0.142029i | 0.754299 | − | 0.656531i | \(-0.227977\pi\) |
−0.857489 | + | 0.514502i | \(0.827977\pi\) | |||||||
\(150\) | −8.08015 | − | 5.24984i | −0.659742 | − | 0.428647i | ||||
\(151\) | −3.95454 | + | 12.1708i | −0.321816 | + | 0.990449i | 0.651041 | + | 0.759043i | \(0.274333\pi\) |
−0.972857 | + | 0.231406i | \(0.925667\pi\) | |||||||
\(152\) | 5.64081 | + | 0.897228i | 0.457530 | + | 0.0727748i | ||||
\(153\) | 0.171513i | 0.0138660i | ||||||||
\(154\) | −8.92671 | − | 8.57763i | −0.719335 | − | 0.691205i | ||||
\(155\) | − | 17.7612i | − | 1.42662i | ||||||
\(156\) | −6.34992 | + | 5.71245i | −0.508401 | + | 0.457362i | ||||
\(157\) | −6.46249 | + | 19.8895i | −0.515763 | + | 1.58735i | 0.266127 | + | 0.963938i | \(0.414256\pi\) |
−0.781890 | + | 0.623416i | \(0.785744\pi\) | |||||||
\(158\) | −2.07582 | + | 3.19495i | −0.165143 | + | 0.254176i | ||||
\(159\) | 8.64527 | + | 11.8992i | 0.685615 | + | 0.943668i | ||||
\(160\) | 13.0295 | + | 10.5748i | 1.03007 | + | 0.836011i | ||||
\(161\) | −6.57512 | + | 2.13639i | −0.518192 | + | 0.168371i | ||||
\(162\) | −12.6753 | + | 4.86239i | −0.995864 | + | 0.382026i | ||||
\(163\) | −3.21572 | + | 4.42605i | −0.251874 | + | 0.346675i | −0.916167 | − | 0.400798i | \(-0.868733\pi\) |
0.664292 | + | 0.747473i | \(0.268733\pi\) | |||||||
\(164\) | 19.0955 | + | 4.06765i | 1.49111 | + | 0.317630i | ||||
\(165\) | −12.0666 | − | 12.8699i | −0.939387 | − | 1.00192i | ||||
\(166\) | 13.4069 | + | 16.5636i | 1.04058 | + | 1.28558i | ||||
\(167\) | −1.08786 | − | 0.790373i | −0.0841808 | − | 0.0611609i | 0.544899 | − | 0.838502i | \(-0.316568\pi\) |
−0.629080 | + | 0.777341i | \(0.716568\pi\) | |||||||
\(168\) | 13.2230 | − | 2.08538i | 1.02017 | − | 0.160891i | ||||
\(169\) | 2.26438 | + | 6.96904i | 0.174183 | + | 0.536080i | ||||
\(170\) | −0.865554 | + | 3.22745i | −0.0663849 | + | 0.247534i | ||||
\(171\) | 0.351793 | − | 0.255593i | 0.0269023 | − | 0.0195457i | ||||
\(172\) | −12.2168 | + | 1.27861i | −0.931525 | + | 0.0974934i | ||||
\(173\) | 7.53425 | + | 2.44803i | 0.572818 | + | 0.186120i | 0.581081 | − | 0.813846i | \(-0.302630\pi\) |
−0.00826233 | + | 0.999966i | \(0.502630\pi\) | |||||||
\(174\) | 0.150152 | + | 2.87716i | 0.0113830 | + | 0.218117i | ||||
\(175\) | −10.0292 | −0.758139 | ||||||||
\(176\) | 8.00333 | + | 10.5805i | 0.603274 | + | 0.797534i | ||||
\(177\) | 1.34352 | 0.100985 | ||||||||
\(178\) | −0.313331 | − | 6.00395i | −0.0234852 | − | 0.450015i | ||||
\(179\) | −24.4734 | − | 7.95188i | −1.82922 | − | 0.594351i | −0.999337 | − | 0.0364218i | \(-0.988404\pi\) |
−0.829888 | − | 0.557929i | \(-0.811596\pi\) | |||||||
\(180\) | 1.27060 | − | 0.132981i | 0.0947050 | − | 0.00991183i | ||||
\(181\) | 10.8423 | − | 7.87736i | 0.805899 | − | 0.585520i | −0.106740 | − | 0.994287i | \(-0.534041\pi\) |
0.912639 | + | 0.408767i | \(0.134041\pi\) | |||||||
\(182\) | −2.30278 | + | 8.58656i | −0.170694 | + | 0.636478i | ||||
\(183\) | −3.50519 | − | 10.7879i | −0.259111 | − | 0.797463i | ||||
\(184\) | 7.31816 | − | 1.15414i | 0.539502 | − | 0.0850843i | ||||
\(185\) | −20.9577 | − | 15.2267i | −1.54084 | − | 1.11949i | ||||
\(186\) | 9.55252 | + | 11.8017i | 0.700425 | + | 0.865342i | ||||
\(187\) | −1.27447 | + | 2.31396i | −0.0931987 | + | 0.169213i | ||||
\(188\) | −6.81150 | − | 1.45096i | −0.496780 | − | 0.105822i | ||||
\(189\) | −7.74659 | + | 10.6623i | −0.563482 | + | 0.775566i | ||||
\(190\) | 7.90974 | − | 3.03427i | 0.573833 | − | 0.220129i | ||||
\(191\) | 3.99452 | − | 1.29790i | 0.289033 | − | 0.0939126i | −0.160912 | − | 0.986969i | \(-0.551444\pi\) |
0.449945 | + | 0.893056i | \(0.351444\pi\) | |||||||
\(192\) | −14.3451 | − | 0.0189076i | −1.03527 | − | 0.00136454i | ||||
\(193\) | −10.5575 | − | 14.5311i | −0.759945 | − | 1.04597i | −0.997219 | − | 0.0745318i | \(-0.976254\pi\) |
0.237274 | − | 0.971443i | \(-0.423746\pi\) | |||||||
\(194\) | −5.64484 | + | 8.68811i | −0.405276 | + | 0.623770i | ||||
\(195\) | −3.91483 | + | 12.0486i | −0.280346 | + | 0.862818i | ||||
\(196\) | −0.0498877 | + | 0.0448794i | −0.00356341 | + | 0.00320567i | ||||
\(197\) | − | 7.36632i | − | 0.524828i | −0.964955 | − | 0.262414i | \(-0.915481\pi\) | ||
0.964955 | − | 0.262414i | \(-0.0845187\pi\) | |||||||
\(198\) | 1.00051 | + | 0.138077i | 0.0711033 | + | 0.00981268i | ||||
\(199\) | − | 21.3637i | − | 1.51443i | −0.653163 | − | 0.757217i | \(-0.726559\pi\) | ||
0.653163 | − | 0.757217i | \(-0.273441\pi\) | |||||||
\(200\) | 10.6141 | + | 1.68827i | 0.750528 | + | 0.119379i | ||||
\(201\) | −2.99582 | + | 9.22020i | −0.211309 | + | 0.650343i | ||||
\(202\) | 6.36434 | + | 4.13504i | 0.447793 | + | 0.290940i | ||||
\(203\) | 1.76259 | + | 2.42600i | 0.123710 | + | 0.170272i | ||||
\(204\) | −1.16069 | − | 2.61005i | −0.0812648 | − | 0.182740i | ||||
\(205\) | 27.5411 | − | 8.94865i | 1.92355 | − | 0.625001i | ||||
\(206\) | −5.44132 | − | 14.1844i | −0.379115 | − | 0.988277i | ||||
\(207\) | 0.331527 | − | 0.456307i | 0.0230427 | − | 0.0317155i | ||||
\(208\) | 3.88249 | − | 8.69962i | 0.269202 | − | 0.603210i | ||||
\(209\) | 6.64543 | − | 0.834218i | 0.459674 | − | 0.0577041i | ||||
\(210\) | 15.4330 | − | 12.4918i | 1.06498 | − | 0.862015i | ||||
\(211\) | 18.9202 | + | 13.7464i | 1.30252 | + | 0.946339i | 0.999977 | − | 0.00679583i | \(-0.00216320\pi\) |
0.302547 | + | 0.953135i | \(0.402163\pi\) | |||||||
\(212\) | −14.2036 | − | 8.20876i | −0.975505 | − | 0.563780i | ||||
\(213\) | −2.42064 | − | 7.44997i | −0.165860 | − | 0.510464i | ||||
\(214\) | −21.5543 | − | 5.78054i | −1.47342 | − | 0.395149i | ||||
\(215\) | −14.7397 | + | 10.7090i | −1.00524 | + | 0.730349i | ||||
\(216\) | 9.99315 | − | 9.97999i | 0.679948 | − | 0.679052i | ||||
\(217\) | 15.0296 | + | 4.88342i | 1.02028 | + | 0.331508i | ||||
\(218\) | −4.73315 | + | 0.247011i | −0.320570 | + | 0.0167297i | ||||
\(219\) | 1.59434 | 0.107736 | ||||||||
\(220\) | 18.1303 | + | 7.64741i | 1.22235 | + | 0.515588i | ||||
\(221\) | 1.89701 | 0.127607 | ||||||||
\(222\) | 22.1150 | − | 1.15412i | 1.48426 | − | 0.0774598i | ||||
\(223\) | −2.45491 | − | 0.797649i | −0.164393 | − | 0.0534145i | 0.225664 | − | 0.974205i | \(-0.427545\pi\) |
−0.390057 | + | 0.920791i | \(0.627545\pi\) | |||||||
\(224\) | −12.5309 | + | 8.11809i | −0.837254 | + | 0.542413i | ||||
\(225\) | 0.661954 | − | 0.480938i | 0.0441303 | − | 0.0320625i | ||||
\(226\) | −3.26917 | − | 0.876742i | −0.217462 | − | 0.0583200i | ||||
\(227\) | −0.657854 | − | 2.02467i | −0.0436633 | − | 0.134382i | 0.926848 | − | 0.375436i | \(-0.122507\pi\) |
−0.970512 | + | 0.241054i | \(0.922507\pi\) | |||||||
\(228\) | −3.62381 | + | 6.27026i | −0.239993 | + | 0.415258i | ||||
\(229\) | 10.2596 | + | 7.45404i | 0.677973 | + | 0.492577i | 0.872685 | − | 0.488284i | \(-0.162377\pi\) |
−0.194711 | + | 0.980861i | \(0.562377\pi\) | |||||||
\(230\) | 8.54129 | − | 6.91349i | 0.563196 | − | 0.455862i | ||||
\(231\) | 14.2083 | − | 6.67229i | 0.934834 | − | 0.439004i | ||||
\(232\) | −1.45699 | − | 2.86417i | −0.0956561 | − | 0.188042i | ||||
\(233\) | 2.28106 | − | 3.13960i | 0.149437 | − | 0.205682i | −0.727735 | − | 0.685858i | \(-0.759427\pi\) |
0.877172 | + | 0.480176i | \(0.159427\pi\) | |||||||
\(234\) | −0.259767 | − | 0.677161i | −0.0169815 | − | 0.0442674i | ||||
\(235\) | −9.82409 | + | 3.19204i | −0.640853 | + | 0.208226i | ||||
\(236\) | −1.36923 | + | 0.608899i | −0.0891292 | + | 0.0396360i | ||||
\(237\) | −2.83956 | − | 3.90832i | −0.184449 | − | 0.253872i | ||||
\(238\) | −2.49310 | − | 1.61982i | −0.161604 | − | 0.104997i | ||||
\(239\) | −4.52099 | + | 13.9142i | −0.292439 | + | 0.900034i | 0.691631 | + | 0.722251i | \(0.256892\pi\) |
−0.984070 | + | 0.177783i | \(0.943108\pi\) | |||||||
\(240\) | −18.4357 | + | 10.6223i | −1.19002 | + | 0.685666i | ||||
\(241\) | 18.4328i | 1.18736i | 0.804701 | + | 0.593681i | \(0.202326\pi\) | ||||
−0.804701 | + | 0.593681i | \(0.797674\pi\) | |||||||
\(242\) | 12.4723 | + | 9.29740i | 0.801750 | + | 0.597660i | ||||
\(243\) | − | 2.23357i | − | 0.143283i | ||||||
\(244\) | 8.46147 | + | 9.40572i | 0.541690 | + | 0.602140i | ||||
\(245\) | −0.0307566 | + | 0.0946589i | −0.00196496 | + | 0.00604754i | ||||
\(246\) | −13.4872 | + | 20.7585i | −0.859912 | + | 1.32351i | ||||
\(247\) | −2.82697 | − | 3.89099i | −0.179876 | − | 0.247578i | ||||
\(248\) | −15.0840 | − | 7.69820i | −0.957834 | − | 0.488836i | ||||
\(249\) | −25.6968 | + | 8.34940i | −1.62847 | + | 0.529122i | ||||
\(250\) | −4.70098 | + | 1.80335i | −0.297316 | + | 0.114054i | ||||
\(251\) | 6.01043 | − | 8.27265i | 0.379375 | − | 0.522165i | −0.576044 | − | 0.817419i | \(-0.695404\pi\) |
0.955419 | + | 0.295254i | \(0.0954043\pi\) | |||||||
\(252\) | −0.236820 | + | 1.11175i | −0.0149183 | + | 0.0700337i | ||||
\(253\) | 7.86346 | − | 3.69273i | 0.494372 | − | 0.232160i | ||||
\(254\) | −14.0774 | − | 17.3919i | −0.883292 | − | 1.09126i | ||||
\(255\) | −3.42766 | − | 2.49034i | −0.214648 | − | 0.155951i | ||||
\(256\) | 14.6281 | − | 6.48209i | 0.914259 | − | 0.405131i | ||||
\(257\) | −0.336161 | − | 1.03460i | −0.0209692 | − | 0.0645364i | 0.940024 | − | 0.341107i | \(-0.110802\pi\) |
−0.960994 | + | 0.276571i | \(0.910802\pi\) | |||||||
\(258\) | 4.03436 | − | 15.0432i | 0.251168 | − | 0.936549i | ||||
\(259\) | 18.6471 | − | 13.5479i | 1.15868 | − | 0.841828i | ||||
\(260\) | −1.47083 | − | 14.0534i | −0.0912170 | − | 0.871555i | ||||
\(261\) | −0.232671 | − | 0.0755993i | −0.0144019 | − | 0.00467948i | ||||
\(262\) | 0.680663 | + | 13.0426i | 0.0420515 | + | 0.805777i | ||||
\(263\) | 24.7837 | 1.52823 | 0.764114 | − | 0.645081i | \(-0.223176\pi\) | ||||
0.764114 | + | 0.645081i | \(0.223176\pi\) | |||||||
\(264\) | −16.1599 | + | 4.66962i | −0.994576 | + | 0.287395i | ||||
\(265\) | −24.3323 | −1.49472 | ||||||||
\(266\) | 0.392843 | + | 7.52752i | 0.0240867 | + | 0.461542i | ||||
\(267\) | 7.24990 | + | 2.35564i | 0.443687 | + | 0.144163i | ||||
\(268\) | −1.12555 | − | 10.7544i | −0.0687542 | − | 0.656929i | ||||
\(269\) | −13.6719 | + | 9.93319i | −0.833588 | + | 0.605637i | −0.920572 | − | 0.390573i | \(-0.872277\pi\) |
0.0869843 | + | 0.996210i | \(0.472277\pi\) | |||||||
\(270\) | 5.42613 | − | 20.2328i | 0.330224 | − | 1.23133i | ||||
\(271\) | −4.02030 | − | 12.3732i | −0.244216 | − | 0.751618i | −0.995764 | − | 0.0919409i | \(-0.970693\pi\) |
0.751549 | − | 0.659677i | \(-0.229307\pi\) | |||||||
\(272\) | 2.36581 | + | 2.13395i | 0.143448 | + | 0.129390i | ||||
\(273\) | −9.11920 | − | 6.62549i | −0.551919 | − | 0.400993i | ||||
\(274\) | −13.5399 | − | 16.7280i | −0.817978 | − | 1.01057i | ||||
\(275\) | 12.5044 | − | 1.56971i | 0.754045 | − | 0.0946572i | ||||
\(276\) | −1.95709 | + | 9.18752i | −0.117803 | + | 0.553024i | ||||
\(277\) | −15.6103 | + | 21.4858i | −0.937935 | + | 1.29096i | 0.0187483 | + | 0.999824i | \(0.494032\pi\) |
−0.956683 | + | 0.291132i | \(0.905968\pi\) | |||||||
\(278\) | 7.31697 | − | 2.80688i | 0.438843 | − | 0.168345i | ||||
\(279\) | −1.22617 | + | 0.398407i | −0.0734089 | + | 0.0238520i | ||||
\(280\) | −10.0669 | + | 19.7252i | −0.601612 | + | 1.17881i | ||||
\(281\) | 18.9860 | + | 26.1320i | 1.13261 | + | 1.55890i | 0.783015 | + | 0.622002i | \(0.213681\pi\) |
0.349594 | + | 0.936901i | \(0.386319\pi\) | |||||||
\(282\) | 4.81097 | − | 7.40468i | 0.286489 | − | 0.440943i | ||||
\(283\) | −7.78230 | + | 23.9515i | −0.462610 | + | 1.42377i | 0.399354 | + | 0.916797i | \(0.369234\pi\) |
−0.861964 | + | 0.506969i | \(0.830766\pi\) | |||||||
\(284\) | 5.84338 | + | 6.49547i | 0.346741 | + | 0.385435i | ||||
\(285\) | 10.7417i | 0.636282i | ||||||||
\(286\) | 1.52719 | − | 11.0661i | 0.0903046 | − | 0.654353i | ||||
\(287\) | 25.7658i | 1.52091i | ||||||||
\(288\) | 0.437777 | − | 1.13671i | 0.0257962 | − | 0.0669815i | ||||
\(289\) | 5.05724 | − | 15.5646i | 0.297485 | − | 0.915564i | ||||
\(290\) | −3.99676 | − | 2.59678i | −0.234698 | − | 0.152488i | ||||
\(291\) | −7.72169 | − | 10.6280i | −0.452654 | − | 0.623024i | ||||
\(292\) | −1.62485 | + | 0.722575i | −0.0950871 | + | 0.0422855i | ||||
\(293\) | 1.23780 | − | 0.402184i | 0.0723128 | − | 0.0234959i | −0.272637 | − | 0.962117i | \(-0.587896\pi\) |
0.344950 | + | 0.938621i | \(0.387896\pi\) | |||||||
\(294\) | −0.0304738 | − | 0.0794392i | −0.00177727 | − | 0.00463299i | ||||
\(295\) | −1.30643 | + | 1.79815i | −0.0760633 | + | 0.104692i | ||||
\(296\) | −22.0151 | + | 11.1990i | −1.27960 | + | 0.650928i | ||||
\(297\) | 7.98963 | − | 14.5061i | 0.463605 | − | 0.841731i | ||||
\(298\) | −2.35564 | + | 1.90670i | −0.136458 | + | 0.110452i | ||||
\(299\) | −5.04696 | − | 3.66683i | −0.291873 | − | 0.212058i | ||||
\(300\) | −6.81876 | + | 11.7985i | −0.393681 | + | 0.681185i | ||||
\(301\) | −5.00936 | − | 15.4172i | −0.288735 | − | 0.888634i | ||||
\(302\) | 17.4802 | + | 4.68793i | 1.00587 | + | 0.269760i | ||||
\(303\) | −7.78537 | + | 5.65640i | −0.447258 | + | 0.324952i | ||||
\(304\) | 0.851397 | − | 8.03260i | 0.0488310 | − | 0.460701i | ||||
\(305\) | 17.8468 | + | 5.79877i | 1.02190 | + | 0.332037i | ||||
\(306\) | 0.242227 | − | 0.0126412i | 0.0138472 | − | 0.000722651i | ||||
\(307\) | 4.19311 | 0.239313 | 0.119657 | − | 0.992815i | \(-0.461821\pi\) | ||||
0.119657 | + | 0.992815i | \(0.461821\pi\) | |||||||
\(308\) | −11.4562 | + | 13.2393i | −0.652776 | + | 0.754380i | ||||
\(309\) | 19.2629 | 1.09583 | ||||||||
\(310\) | −25.0840 | + | 1.30907i | −1.42468 | + | 0.0743504i | ||||
\(311\) | −14.8356 | − | 4.82039i | −0.841252 | − | 0.273339i | −0.143474 | − | 0.989654i | \(-0.545827\pi\) |
−0.697777 | + | 0.716315i | \(0.745827\pi\) | |||||||
\(312\) | 8.53566 | + | 8.54691i | 0.483236 | + | 0.483874i | ||||
\(313\) | 21.8548 | − | 15.8784i | 1.23531 | − | 0.897503i | 0.238030 | − | 0.971258i | \(-0.423498\pi\) |
0.997276 | + | 0.0737552i | \(0.0234983\pi\) | |||||||
\(314\) | 28.5661 | + | 7.66098i | 1.61208 | + | 0.432334i | ||||
\(315\) | 0.520994 | + | 1.60345i | 0.0293547 | + | 0.0903444i | ||||
\(316\) | 4.66519 | + | 2.69618i | 0.262438 | + | 0.151672i | ||||
\(317\) | 1.52130 | + | 1.10529i | 0.0854447 | + | 0.0620792i | 0.629687 | − | 0.776849i | \(-0.283183\pi\) |
−0.544243 | + | 0.838928i | \(0.683183\pi\) | |||||||
\(318\) | 16.1679 | − | 13.0867i | 0.906653 | − | 0.733864i | ||||
\(319\) | −2.57729 | − | 2.74886i | −0.144301 | − | 0.153906i | ||||
\(320\) | 13.9744 | − | 19.1809i | 0.781191 | − | 1.07224i | ||||
\(321\) | 16.6315 | − | 22.8914i | 0.928283 | − | 1.27767i | ||||
\(322\) | 3.50181 | + | 9.12853i | 0.195148 | + | 0.508713i | ||||
\(323\) | 1.52974 | − | 0.497044i | 0.0851172 | − | 0.0276563i | ||||
\(324\) | 7.80133 | + | 17.5428i | 0.433407 | + | 0.974601i | ||||
\(325\) | −5.31939 | − | 7.32151i | −0.295066 | − | 0.406124i | ||||
\(326\) | 6.48789 | + | 4.21531i | 0.359331 | + | 0.233464i | ||||
\(327\) | 1.85704 | − | 5.71538i | 0.102695 | − | 0.316061i | ||||
\(328\) | 4.33729 | − | 27.2683i | 0.239487 | − | 1.50564i | ||||
\(329\) | − | 9.19083i | − | 0.506707i | ||||||
\(330\) | −17.2867 | + | 17.9902i | −0.951599 | + | 0.990326i | ||||
\(331\) | − | 2.35264i | − | 0.129313i | −0.997908 | − | 0.0646563i | \(-0.979405\pi\) | ||
0.997908 | − | 0.0646563i | \(-0.0205951\pi\) | |||||||
\(332\) | 22.4045 | − | 20.1553i | 1.22961 | − | 1.10616i | ||||
\(333\) | −0.581085 | + | 1.78839i | −0.0318432 | + | 0.0980034i | ||||
\(334\) | −1.03606 | + | 1.59462i | −0.0566906 | + | 0.0872539i | ||||
\(335\) | −9.42707 | − | 12.9752i | −0.515056 | − | 0.708913i | ||||
\(336\) | −3.91975 | − | 18.5210i | −0.213840 | − | 1.01040i | ||||
\(337\) | −20.5738 | + | 6.68485i | −1.12073 | + | 0.364147i | −0.810046 | − | 0.586367i | \(-0.800558\pi\) |
−0.310683 | + | 0.950514i | \(0.600558\pi\) | |||||||
\(338\) | 9.67542 | − | 3.71161i | 0.526273 | − | 0.201885i | ||||
\(339\) | 2.52253 | − | 3.47196i | 0.137005 | − | 0.188571i | ||||
\(340\) | 4.62190 | + | 0.984538i | 0.250658 | + | 0.0533941i | ||||
\(341\) | −19.5032 | − | 3.73629i | −1.05616 | − | 0.202332i | ||||
\(342\) | −0.386900 | − | 0.477997i | −0.0209212 | − | 0.0258471i | ||||
\(343\) | −15.0189 | − | 10.9119i | −0.810944 | − | 0.589185i | ||||
\(344\) | 2.70621 | + | 17.1595i | 0.145909 | + | 0.925178i | ||||
\(345\) | 4.30550 | + | 13.2510i | 0.231800 | + | 0.713408i | ||||
\(346\) | 2.90202 | − | 10.8210i | 0.156014 | − | 0.581740i | ||||
\(347\) | 0.429950 | − | 0.312377i | 0.0230809 | − | 0.0167693i | −0.576185 | − | 0.817319i | \(-0.695459\pi\) |
0.599266 | + | 0.800550i | \(0.295459\pi\) | |||||||
\(348\) | 4.05233 | − | 0.424117i | 0.217227 | − | 0.0227350i | ||||
\(349\) | −34.0852 | − | 11.0749i | −1.82454 | − | 0.592828i | −0.999620 | − | 0.0275762i | \(-0.991221\pi\) |
−0.824918 | − | 0.565252i | \(-0.808779\pi\) | |||||||
\(350\) | 0.739195 | + | 14.1642i | 0.0395116 | + | 0.757109i | ||||
\(351\) | −11.8923 | −0.634765 | ||||||||
\(352\) | 14.3529 | − | 12.0829i | 0.765010 | − | 0.644019i | ||||
\(353\) | −0.964432 | −0.0513316 | −0.0256658 | − | 0.999671i | \(-0.508171\pi\) | ||||
−0.0256658 | + | 0.999671i | \(0.508171\pi\) | |||||||
\(354\) | −0.0990227 | − | 1.89744i | −0.00526300 | − | 0.100848i | ||||
\(355\) | 12.3248 | + | 4.00456i | 0.654130 | + | 0.212540i | ||||
\(356\) | −8.45624 | + | 0.885030i | −0.448180 | + | 0.0469065i | ||||
\(357\) | 3.04977 | − | 2.21578i | 0.161411 | − | 0.117272i | ||||
\(358\) | −9.42659 | + | 35.1496i | −0.498211 | + | 1.85771i | ||||
\(359\) | 4.84827 | + | 14.9214i | 0.255882 | + | 0.787523i | 0.993655 | + | 0.112474i | \(0.0358776\pi\) |
−0.737773 | + | 0.675049i | \(0.764122\pi\) | |||||||
\(360\) | −0.281456 | − | 1.78466i | −0.0148341 | − | 0.0940597i | ||||
\(361\) | 12.0722 | + | 8.77095i | 0.635378 | + | 0.461629i | ||||
\(362\) | −11.9243 | − | 14.7318i | −0.626725 | − | 0.774288i | ||||
\(363\) | −16.6705 | + | 10.5428i | −0.874974 | + | 0.553352i | ||||
\(364\) | 12.2965 | + | 2.61934i | 0.644509 | + | 0.137291i | ||||
\(365\) | −1.55033 | + | 2.13384i | −0.0811479 | + | 0.111690i | ||||
\(366\) | −14.9773 | + | 5.74547i | −0.782875 | + | 0.300320i | ||||
\(367\) | −28.1773 | + | 9.15535i | −1.47084 | + | 0.477906i | −0.931363 | − | 0.364093i | \(-0.881379\pi\) |
−0.539479 | + | 0.841999i | \(0.681379\pi\) | |||||||
\(368\) | −2.16936 | − | 10.2503i | −0.113086 | − | 0.534334i | ||||
\(369\) | −1.23556 | − | 1.70061i | −0.0643208 | − | 0.0885300i | ||||
\(370\) | −19.9598 | + | 30.7206i | −1.03766 | + | 1.59709i | ||||
\(371\) | 6.69014 | − | 20.5901i | 0.347335 | − | 1.06899i | ||||
\(372\) | 15.9634 | − | 14.3608i | 0.827662 | − | 0.744572i | ||||
\(373\) | − | 13.2211i | − | 0.684562i | −0.939598 | − | 0.342281i | \(-0.888801\pi\) | ||
0.939598 | − | 0.342281i | \(-0.111199\pi\) | |||||||
\(374\) | 3.36192 | + | 1.62938i | 0.173840 | + | 0.0842532i | ||||
\(375\) | − | 6.38408i | − | 0.329672i | ||||||
\(376\) | −1.54714 | + | 9.72677i | −0.0797877 | + | 0.501620i | ||||
\(377\) | −0.836161 | + | 2.57344i | −0.0430645 | + | 0.132539i | ||||
\(378\) | 15.6292 | + | 10.1546i | 0.803879 | + | 0.522296i | ||||
\(379\) | 19.1582 | + | 26.3691i | 0.984093 | + | 1.35449i | 0.934595 | + | 0.355713i | \(0.115762\pi\) |
0.0494977 | + | 0.998774i | \(0.484238\pi\) | |||||||
\(380\) | −4.86826 | − | 10.9472i | −0.249736 | − | 0.561581i | ||||
\(381\) | 26.9818 | − | 8.76693i | 1.38232 | − | 0.449143i | ||||
\(382\) | −2.12742 | − | 5.54577i | −0.108848 | − | 0.283746i | ||||
\(383\) | 14.1107 | − | 19.4217i | 0.721024 | − | 0.992405i | −0.278465 | − | 0.960446i | \(-0.589826\pi\) |
0.999489 | − | 0.0319586i | \(-0.0101745\pi\) | |||||||
\(384\) | 1.03059 | + | 20.2608i | 0.0525918 | + | 1.03393i | ||||
\(385\) | −4.88593 | + | 25.5042i | −0.249010 | + | 1.29982i | ||||
\(386\) | −19.7441 | + | 15.9813i | −1.00495 | + | 0.813425i | ||||
\(387\) | 1.06994 | + | 0.777358i | 0.0543882 | + | 0.0395153i | ||||
\(388\) | 12.6862 | + | 7.33181i | 0.644044 | + | 0.372216i | ||||
\(389\) | 0.439422 | + | 1.35240i | 0.0222796 | + | 0.0685695i | 0.961578 | − | 0.274531i | \(-0.0885227\pi\) |
−0.939299 | + | 0.343101i | \(0.888523\pi\) | |||||||
\(390\) | 17.3047 | + | 4.64085i | 0.876256 | + | 0.234998i | ||||
\(391\) | 1.68787 | − | 1.22631i | 0.0853594 | − | 0.0620172i | ||||
\(392\) | 0.0670598 | + | 0.0671482i | 0.00338703 | + | 0.00339150i | ||||
\(393\) | −15.7493 | − | 5.11725i | −0.794446 | − | 0.258131i | ||||
\(394\) | −10.4034 | + | 0.542927i | −0.524115 | + | 0.0273523i | ||||
\(395\) | 7.99201 | 0.402122 | ||||||||
\(396\) | 0.121263 | − | 1.42319i | 0.00609368 | − | 0.0715181i | ||||
\(397\) | −8.85845 | −0.444593 | −0.222296 | − | 0.974979i | \(-0.571355\pi\) | ||||
−0.222296 | + | 0.974979i | \(0.571355\pi\) | |||||||
\(398\) | −30.1718 | + | 1.57459i | −1.51238 | + | 0.0789271i | ||||
\(399\) | −9.08965 | − | 2.95341i | −0.455052 | − | 0.147855i | ||||
\(400\) | 1.60204 | − | 15.1146i | 0.0801018 | − | 0.755729i | ||||
\(401\) | −21.9019 | + | 15.9127i | −1.09373 | + | 0.794641i | −0.980025 | − | 0.198873i | \(-0.936272\pi\) |
−0.113705 | + | 0.993515i | \(0.536272\pi\) | |||||||
\(402\) | 13.2424 | + | 3.55141i | 0.660472 | + | 0.177128i | ||||
\(403\) | 4.40655 | + | 13.5620i | 0.219506 | + | 0.675570i | ||||
\(404\) | 5.37080 | − | 9.29307i | 0.267207 | − | 0.462348i | ||||
\(405\) | 23.0382 | + | 16.7382i | 1.14478 | + | 0.831730i | ||||
\(406\) | 3.29631 | − | 2.66810i | 0.163593 | − | 0.132415i | ||||
\(407\) | −21.1288 | + | 19.8101i | −1.04731 | + | 0.981948i | ||||
\(408\) | −3.60060 | + | 1.83161i | −0.178256 | + | 0.0906781i | ||||
\(409\) | 16.9101 | − | 23.2747i | 0.836149 | − | 1.15086i | −0.150599 | − | 0.988595i | \(-0.548120\pi\) |
0.986747 | − | 0.162265i | \(-0.0518799\pi\) | |||||||
\(410\) | −14.6680 | − | 38.2365i | −0.724400 | − | 1.88837i | ||||
\(411\) | 25.9518 | − | 8.43224i | 1.28011 | − | 0.415932i | ||||
\(412\) | −19.6315 | + | 8.73018i | −0.967176 | + | 0.430105i | ||||
\(413\) | −1.16240 | − | 1.59991i | −0.0571979 | − | 0.0787262i | ||||
\(414\) | −0.668874 | − | 0.434581i | −0.0328734 | − | 0.0213585i | ||||
\(415\) | 13.8127 | − | 42.5112i | 0.678040 | − | 2.08679i | ||||
\(416\) | −12.5726 | − | 4.84201i | −0.616421 | − | 0.237399i | ||||
\(417\) | 9.93667i | 0.486601i | ||||||||
\(418\) | −1.66795 | − | 9.32380i | −0.0815823 | − | 0.456042i | ||||
\(419\) | 26.5187i | 1.29552i | 0.761843 | + | 0.647761i | \(0.224295\pi\) | ||||
−0.761843 | + | 0.647761i | \(0.775705\pi\) | |||||||
\(420\) | −18.7795 | − | 20.8752i | −0.916346 | − | 1.01861i | ||||
\(421\) | −2.77949 | + | 8.55438i | −0.135464 | + | 0.416915i | −0.995662 | − | 0.0930453i | \(-0.970340\pi\) |
0.860198 | + | 0.509960i | \(0.170340\pi\) | |||||||
\(422\) | 18.0194 | − | 27.7341i | 0.877170 | − | 1.35007i | ||||
\(423\) | 0.440733 | + | 0.606617i | 0.0214292 | + | 0.0294947i | ||||
\(424\) | −10.5463 | + | 20.6646i | −0.512174 | + | 1.00356i | ||||
\(425\) | 2.87845 | − | 0.935265i | 0.139625 | − | 0.0453670i | ||||
\(426\) | −10.3431 | + | 3.96775i | −0.501126 | + | 0.192238i | ||||
\(427\) | −9.81389 | + | 13.5077i | −0.474928 | + | 0.653682i | ||||
\(428\) | −6.57517 | + | 30.8670i | −0.317823 | + | 1.49201i | ||||
\(429\) | 12.4068 | + | 6.83335i | 0.599004 | + | 0.329917i | ||||
\(430\) | 16.2106 | + | 20.0275i | 0.781746 | + | 0.965810i | ||||
\(431\) | 21.9146 | + | 15.9219i | 1.05559 | + | 0.766930i | 0.973267 | − | 0.229675i | \(-0.0737664\pi\) |
0.0823219 | + | 0.996606i | \(0.473766\pi\) | |||||||
\(432\) | −14.8312 | − | 13.3777i | −0.713566 | − | 0.643634i | ||||
\(433\) | 5.27191 | + | 16.2253i | 0.253352 | + | 0.779737i | 0.994150 | + | 0.108009i | \(0.0344476\pi\) |
−0.740798 | + | 0.671728i | \(0.765552\pi\) | |||||||
\(434\) | 5.78907 | − | 21.5861i | 0.277884 | − | 1.03617i | ||||
\(435\) | 4.88916 | − | 3.55218i | 0.234417 | − | 0.170314i | ||||
\(436\) | 0.697705 | + | 6.66639i | 0.0334140 | + | 0.319262i | ||||
\(437\) | −5.03060 | − | 1.63454i | −0.240646 | − | 0.0781908i | ||||
\(438\) | −0.117509 | − | 2.25167i | −0.00561481 | − | 0.107589i | ||||
\(439\) | −20.6354 | −0.984876 | −0.492438 | − | 0.870348i | \(-0.663894\pi\) | ||||
−0.492438 | + | 0.870348i | \(0.663894\pi\) | |||||||
\(440\) | 9.46409 | − | 26.1690i | 0.451183 | − | 1.24756i | ||||
\(441\) | 0.00722481 | 0.000344039 | ||||||||
\(442\) | −0.139817 | − | 2.67914i | −0.00665044 | − | 0.127434i | ||||
\(443\) | 38.3428 | + | 12.4583i | 1.82172 | + | 0.591913i | 0.999749 | + | 0.0223817i | \(0.00712492\pi\) |
0.821970 | + | 0.569531i | \(0.192875\pi\) | |||||||
\(444\) | −3.25992 | − | 31.1477i | −0.154709 | − | 1.47821i | ||||
\(445\) | −10.2025 | + | 7.41256i | −0.483646 | + | 0.351389i | ||||
\(446\) | −0.945576 | + | 3.52584i | −0.0447743 | + | 0.166953i | ||||
\(447\) | −1.18743 | − | 3.65454i | −0.0561637 | − | 0.172854i | ||||
\(448\) | 12.3887 | + | 17.0989i | 0.585311 | + | 0.807848i | ||||
\(449\) | −14.7159 | − | 10.6918i | −0.694488 | − | 0.504575i | 0.183645 | − | 0.982993i | \(-0.441210\pi\) |
−0.878132 | + | 0.478418i | \(0.841210\pi\) | |||||||
\(450\) | −0.728013 | − | 0.899425i | −0.0343189 | − | 0.0423993i | ||||
\(451\) | −4.03270 | − | 32.1247i | −0.189892 | − | 1.51269i | ||||
\(452\) | −0.997265 | + | 4.68165i | −0.0469074 | + | 0.220206i | ||||
\(453\) | −13.4879 | + | 18.5646i | −0.633719 | + | 0.872239i | ||||
\(454\) | −2.81093 | + | 1.07831i | −0.131924 | + | 0.0506075i | ||||
\(455\) | 17.7349 | − | 5.76242i | 0.831426 | − | 0.270147i | ||||
\(456\) | 9.12252 | + | 4.65573i | 0.427201 | + | 0.218025i | ||||
\(457\) | −9.86950 | − | 13.5842i | −0.461676 | − | 0.635442i | 0.513179 | − | 0.858281i | \(-0.328468\pi\) |
−0.974855 | + | 0.222839i | \(0.928468\pi\) | |||||||
\(458\) | 9.77110 | − | 15.0389i | 0.456573 | − | 0.702723i | ||||
\(459\) | 1.22902 | − | 3.78253i | 0.0573657 | − | 0.176554i | ||||
\(460\) | −10.3934 | − | 11.5532i | −0.484594 | − | 0.538672i | ||||
\(461\) | − | 14.7518i | − | 0.687059i | −0.939142 | − | 0.343530i | \(-0.888377\pi\) | ||
0.939142 | − | 0.343530i | \(-0.111623\pi\) | |||||||
\(462\) | −10.4704 | − | 19.5744i | −0.487128 | − | 0.910684i | ||||
\(463\) | − | 26.2666i | − | 1.22071i | −0.792126 | − | 0.610357i | \(-0.791026\pi\) | ||
0.792126 | − | 0.610357i | \(-0.208974\pi\) | |||||||
\(464\) | −3.93766 | + | 2.26880i | −0.182801 | + | 0.105326i | ||||
\(465\) | 9.84166 | − | 30.2895i | 0.456396 | − | 1.40464i | ||||
\(466\) | −4.60216 | − | 2.99011i | −0.213191 | − | 0.138514i | ||||
\(467\) | −1.73067 | − | 2.38206i | −0.0800856 | − | 0.110228i | 0.767095 | − | 0.641534i | \(-0.221702\pi\) |
−0.847180 | + | 0.531305i | \(0.821702\pi\) | |||||||
\(468\) | −0.937203 | + | 0.416776i | −0.0433222 | + | 0.0192655i | ||||
\(469\) | 13.5717 | − | 4.40970i | 0.626681 | − | 0.203621i | ||||
\(470\) | 5.23217 | + | 13.6392i | 0.241342 | + | 0.629130i | ||||
\(471\) | −22.0419 | + | 30.3381i | −1.01564 | + | 1.39790i | ||||
\(472\) | 0.960861 | + | 1.88887i | 0.0442272 | + | 0.0869424i | ||||
\(473\) | 8.65866 | + | 18.4381i | 0.398125 | + | 0.847785i | ||||
\(474\) | −5.31040 | + | 4.29834i | −0.243915 | + | 0.197429i | ||||
\(475\) | −6.20786 | − | 4.51028i | −0.284836 | − | 0.206946i | ||||
\(476\) | −2.10391 | + | 3.64038i | −0.0964323 | + | 0.166856i | ||||
\(477\) | 0.545805 | + | 1.67981i | 0.0249907 | + | 0.0769134i | ||||
\(478\) | 19.9841 | + | 5.35943i | 0.914051 | + | 0.245135i | ||||
\(479\) | 2.23433 | − | 1.62334i | 0.102089 | − | 0.0741722i | −0.535570 | − | 0.844491i | \(-0.679903\pi\) |
0.637659 | + | 0.770319i | \(0.279903\pi\) | |||||||
\(480\) | 16.3606 | + | 25.2537i | 0.746754 | + | 1.15267i | ||||
\(481\) | 19.7804 | + | 6.42705i | 0.901910 | + | 0.293048i | ||||
\(482\) | 26.0325 | − | 1.35857i | 1.18575 | − | 0.0618812i | ||||
\(483\) | −12.3968 | −0.564075 | ||||||||
\(484\) | 12.2114 | − | 18.2998i | 0.555063 | − | 0.831808i | ||||
\(485\) | 21.7329 | 0.986840 | ||||||||
\(486\) | −3.15445 | + | 0.164623i | −0.143089 | + | 0.00746745i | ||||
\(487\) | 2.52630 | + | 0.820844i | 0.114478 | + | 0.0371960i | 0.365696 | − | 0.930735i | \(-0.380831\pi\) |
−0.251218 | + | 0.967931i | \(0.580831\pi\) | |||||||
\(488\) | 12.6600 | − | 12.6433i | 0.573090 | − | 0.572335i | ||||
\(489\) | −7.93651 | + | 5.76621i | −0.358901 | + | 0.260757i | ||||
\(490\) | 0.135953 | + | 0.0364605i | 0.00614173 | + | 0.00164712i | ||||
\(491\) | −6.45391 | − | 19.8631i | −0.291261 | − | 0.896408i | −0.984452 | − | 0.175654i | \(-0.943796\pi\) |
0.693191 | − | 0.720754i | \(-0.256204\pi\) | |||||||
\(492\) | 30.3111 | + | 17.5179i | 1.36653 | + | 0.789767i | ||||
\(493\) | −0.732108 | − | 0.531907i | −0.0329725 | − | 0.0239559i | ||||
\(494\) | −5.28685 | + | 4.27929i | −0.237867 | + | 0.192534i | ||||
\(495\) | −0.900536 | − | 1.91764i | −0.0404761 | − | 0.0861914i | ||||
\(496\) | −9.76036 | + | 21.8704i | −0.438253 | + | 0.982009i | ||||
\(497\) | −6.77735 | + | 9.32822i | −0.304006 | + | 0.418428i | ||||
\(498\) | 13.6857 | + | 35.6760i | 0.613273 | + | 1.59868i | ||||
\(499\) | −4.48326 | + | 1.45670i | −0.200698 | + | 0.0652108i | −0.407641 | − | 0.913142i | \(-0.633649\pi\) |
0.206943 | + | 0.978353i | \(0.433649\pi\) | |||||||
\(500\) | 2.89334 | + | 6.50625i | 0.129394 | + | 0.290968i | ||||
\(501\) | −1.41725 | − | 1.95067i | −0.0633179 | − | 0.0871496i | ||||
\(502\) | −12.1264 | − | 7.87875i | −0.541227 | − | 0.351646i | ||||
\(503\) | 1.18968 | − | 3.66147i | 0.0530454 | − | 0.163257i | −0.921024 | − | 0.389505i | \(-0.872646\pi\) |
0.974070 | + | 0.226248i | \(0.0726461\pi\) | |||||||
\(504\) | 1.58757 | + | 0.252519i | 0.0707160 | + | 0.0112481i | ||||
\(505\) | − | 15.9201i | − | 0.708435i | ||||||
\(506\) | −5.79479 | − | 10.8333i | −0.257610 | − | 0.481600i | ||||
\(507\) | 13.1395i | 0.583546i | ||||||||
\(508\) | −23.5249 | + | 21.1632i | −1.04375 | + | 0.938964i | ||||
\(509\) | 1.18584 | − | 3.64963i | 0.0525613 | − | 0.161767i | −0.921330 | − | 0.388781i | \(-0.872896\pi\) |
0.973892 | + | 0.227014i | \(0.0728963\pi\) | |||||||
\(510\) | −3.26445 | + | 5.02440i | −0.144552 | + | 0.222484i | ||||
\(511\) | −1.37941 | − | 1.89859i | −0.0610214 | − | 0.0839887i | ||||
\(512\) | −10.2328 | − | 20.1814i | −0.452228 | − | 0.891902i | ||||
\(513\) | −9.58992 | + | 3.11595i | −0.423405 | + | 0.137573i | ||||
\(514\) | −1.43638 | + | 0.551012i | −0.0633559 | + | 0.0243041i | ||||
\(515\) | −18.7311 | + | 25.7812i | −0.825393 | + | 1.13606i | ||||
\(516\) | −21.5427 | − | 4.58894i | −0.948366 | − | 0.202017i | ||||
\(517\) | 1.43849 | + | 11.4591i | 0.0632647 | + | 0.503970i | ||||
\(518\) | −20.5080 | − | 25.3367i | −0.901071 | − | 1.11323i | ||||
\(519\) | 11.4922 | + | 8.34959i | 0.504453 | + | 0.366506i | ||||
\(520\) | −19.7391 | + | 3.11303i | −0.865617 | + | 0.136516i | ||||
\(521\) | −1.88548 | − | 5.80291i | −0.0826044 | − | 0.254230i | 0.901221 | − | 0.433360i | \(-0.142672\pi\) |
−0.983826 | + | 0.179129i | \(0.942672\pi\) | |||||||
\(522\) | −0.0896194 | + | 0.334171i | −0.00392254 | + | 0.0146263i | ||||
\(523\) | −20.3838 | + | 14.8097i | −0.891320 | + | 0.647582i | −0.936222 | − | 0.351409i | \(-0.885703\pi\) |
0.0449017 | + | 0.998991i | \(0.485703\pi\) | |||||||
\(524\) | 18.3698 | − | 1.92259i | 0.802491 | − | 0.0839887i | ||||
\(525\) | −17.1036 | − | 5.55729i | −0.746462 | − | 0.242540i | ||||
\(526\) | −1.82666 | − | 35.0018i | −0.0796460 | − | 1.52615i | ||||
\(527\) | −4.76899 | −0.207740 | ||||||||
\(528\) | 7.78591 | + | 22.4784i | 0.338838 | + | 0.978246i | ||||
\(529\) | 16.1391 | 0.701698 | ||||||||
\(530\) | 1.79339 | + | 34.3644i | 0.0778999 | + | 1.49269i | ||||
\(531\) | 0.153442 | + | 0.0498564i | 0.00665883 | + | 0.00216358i | ||||
\(532\) | 10.6021 | − | 1.10962i | 0.459660 | − | 0.0481080i | ||||
\(533\) | −18.8095 | + | 13.6659i | −0.814728 | + | 0.591935i | ||||
\(534\) | 2.79250 | − | 10.4126i | 0.120843 | − | 0.450597i | ||||
\(535\) | 14.4651 | + | 44.5189i | 0.625379 | + | 1.92472i | ||||
\(536\) | −15.1054 | + | 2.38225i | −0.652453 | + | 0.102898i | ||||
\(537\) | −37.3300 | − | 27.1218i | −1.61091 | − | 1.17039i | ||||
\(538\) | 15.0362 | + | 18.5765i | 0.648258 | + | 0.800891i | ||||
\(539\) | 0.0974728 | + | 0.0536857i | 0.00419845 | + | 0.00231241i | ||||
\(540\) | −28.9746 | − | 6.17204i | −1.24687 | − | 0.265602i | ||||
\(541\) | 23.6178 | − | 32.5071i | 1.01541 | − | 1.39759i | 0.100032 | − | 0.994984i | \(-0.468105\pi\) |
0.915374 | − | 0.402604i | \(-0.131895\pi\) | |||||||
\(542\) | −17.1783 | + | 6.58978i | −0.737869 | + | 0.283055i | ||||
\(543\) | 22.8550 | − | 7.42604i | 0.980802 | − | 0.318682i | ||||
\(544\) | 2.83939 | − | 3.49849i | 0.121738 | − | 0.149997i | ||||
\(545\) | 5.84362 | + | 8.04305i | 0.250313 | + | 0.344526i | ||||
\(546\) | −8.68500 | + | 13.3673i | −0.371684 | + | 0.572067i | ||||
\(547\) | 9.16722 | − | 28.2138i | 0.391962 | − | 1.20633i | −0.539341 | − | 0.842088i | \(-0.681326\pi\) |
0.931302 | − | 0.364247i | \(-0.118674\pi\) | |||||||
\(548\) | −22.6268 | + | 20.3553i | −0.966569 | + | 0.869534i | ||||
\(549\) | − | 1.36215i | − | 0.0581351i | ||||||
\(550\) | −3.13852 | − | 17.5442i | −0.133827 | − | 0.748087i | ||||
\(551\) | 2.29430i | 0.0977403i | ||||||||
\(552\) | 13.1197 | + | 2.08682i | 0.558412 | + | 0.0888210i | ||||
\(553\) | −2.19739 | + | 6.76287i | −0.0934426 | + | 0.287587i | ||||
\(554\) | 31.4948 | + | 20.4628i | 1.33808 | + | 0.869380i | ||||
\(555\) | −27.3034 | − | 37.5800i | −1.15897 | − | 1.59518i | ||||
\(556\) | −4.50342 | − | 10.1268i | −0.190987 | − | 0.429473i | ||||
\(557\) | −1.85960 | + | 0.604220i | −0.0787937 | + | 0.0256016i | −0.348149 | − | 0.937439i | \(-0.613190\pi\) |
0.269355 | + | 0.963041i | \(0.413190\pi\) | |||||||
\(558\) | 0.653040 | + | 1.70235i | 0.0276454 | + | 0.0720660i | ||||
\(559\) | 8.59792 | − | 11.8340i | 0.363653 | − | 0.500526i | ||||
\(560\) | 28.5998 | + | 12.7636i | 1.20856 | + | 0.539359i | ||||
\(561\) | −3.45563 | + | 3.23996i | −0.145897 | + | 0.136791i | ||||
\(562\) | 35.5066 | − | 28.7398i | 1.49776 | − | 1.21232i | ||||
\(563\) | −23.3680 | − | 16.9778i | −0.984844 | − | 0.715531i | −0.0260581 | − | 0.999660i | \(-0.508295\pi\) |
−0.958786 | + | 0.284129i | \(0.908295\pi\) | |||||||
\(564\) | −10.8122 | − | 6.24874i | −0.455274 | − | 0.263119i | ||||
\(565\) | 2.19394 | + | 6.75224i | 0.0922996 | + | 0.284069i | ||||
\(566\) | 34.4000 | + | 9.22556i | 1.44594 | + | 0.387779i | ||||
\(567\) | −20.4983 | + | 14.8929i | −0.860847 | + | 0.625442i | ||||
\(568\) | 8.74282 | − | 8.73130i | 0.366841 | − | 0.366357i | ||||
\(569\) | −38.5277 | − | 12.5184i | −1.61516 | − | 0.524799i | −0.644370 | − | 0.764714i | \(-0.722880\pi\) |
−0.970794 | + | 0.239915i | \(0.922880\pi\) | |||||||
\(570\) | 15.1704 | − | 0.791704i | 0.635417 | − | 0.0331608i | ||||
\(571\) | 3.74607 | 0.156768 | 0.0783841 | − | 0.996923i | \(-0.475024\pi\) | ||||
0.0783841 | + | 0.996923i | \(0.475024\pi\) | |||||||
\(572\) | −15.7411 | − | 1.34122i | −0.658170 | − | 0.0560792i | ||||
\(573\) | 7.53132 | 0.314625 | ||||||||
\(574\) | 36.3889 | − | 1.89904i | 1.51884 | − | 0.0792645i | ||||
\(575\) | −9.46587 | − | 3.07565i | −0.394754 | − | 0.128263i | ||||
\(576\) | −1.63764 | − | 0.534488i | −0.0682349 | − | 0.0222703i | ||||
\(577\) | 10.5829 | − | 7.68889i | 0.440570 | − | 0.320093i | −0.345291 | − | 0.938496i | \(-0.612220\pi\) |
0.785861 | + | 0.618403i | \(0.212220\pi\) | |||||||
\(578\) | −22.3545 | − | 5.99513i | −0.929824 | − | 0.249364i | ||||
\(579\) | −9.95262 | − | 30.6310i | −0.413617 | − | 1.27298i | ||||
\(580\) | −3.37283 | + | 5.83599i | −0.140049 | + | 0.242326i | ||||
\(581\) | 32.1754 | + | 23.3768i | 1.33486 | + | 0.969831i | ||||
\(582\) | −14.4407 | + | 11.6886i | −0.598587 | + | 0.484508i | ||||
\(583\) | −5.11860 | + | 26.7188i | −0.211991 | + | 1.10658i | ||||
\(584\) | 1.14024 | + | 2.24151i | 0.0471836 | + | 0.0927541i | ||||
\(585\) | −0.894219 | + | 1.23079i | −0.0369714 | + | 0.0508868i | ||||
\(586\) | −0.659232 | − | 1.71849i | −0.0272326 | − | 0.0709900i | ||||
\(587\) | −15.5242 | + | 5.04411i | −0.640752 | + | 0.208193i | −0.611332 | − | 0.791374i | \(-0.709366\pi\) |
−0.0294198 | + | 0.999567i | \(0.509366\pi\) | |||||||
\(588\) | −0.109945 | + | 0.0488929i | −0.00453407 | + | 0.00201631i | ||||
\(589\) | 7.10685 | + | 9.78174i | 0.292833 | + | 0.403050i | ||||
\(590\) | 2.63580 | + | 1.71253i | 0.108514 | + | 0.0705038i | ||||
\(591\) | 4.08174 | − | 12.5623i | 0.167901 | − | 0.516745i | ||||
\(592\) | 17.4388 | + | 30.2663i | 0.716732 | + | 1.24394i | ||||
\(593\) | 10.2426i | 0.420614i | 0.977635 | + | 0.210307i | \(0.0674464\pi\) | ||||
−0.977635 | + | 0.210307i | \(0.932554\pi\) | |||||||
\(594\) | −21.0757 | − | 10.2145i | −0.864748 | − | 0.419107i | ||||
\(595\) | 6.23638i | 0.255667i | ||||||||
\(596\) | 2.86644 | + | 3.18632i | 0.117414 | + | 0.130517i | ||||
\(597\) | 11.8378 | − | 36.4331i | 0.484490 | − | 1.49111i | ||||
\(598\) | −4.80665 | + | 7.39804i | −0.196559 | + | 0.302528i | ||||
\(599\) | 1.06008 | + | 1.45907i | 0.0433135 | + | 0.0596159i | 0.830124 | − | 0.557578i | \(-0.188269\pi\) |
−0.786811 | + | 0.617194i | \(0.788269\pi\) | |||||||
\(600\) | 17.1654 | + | 8.76049i | 0.700776 | + | 0.357645i | ||||
\(601\) | −14.1120 | + | 4.58526i | −0.575640 | + | 0.187037i | −0.582346 | − | 0.812941i | \(-0.697865\pi\) |
0.00670667 | + | 0.999978i | \(0.497865\pi\) | |||||||
\(602\) | −21.4044 | + | 8.21099i | −0.872379 | + | 0.334655i | ||||
\(603\) | −0.684302 | + | 0.941861i | −0.0278669 | + | 0.0383555i | ||||
\(604\) | 5.33236 | − | 25.0327i | 0.216971 | − | 1.01857i | ||||
\(605\) | 2.10000 | − | 32.5633i | 0.0853770 | − | 1.32389i | ||||
\(606\) | 8.56231 | + | 10.5783i | 0.347820 | + | 0.429715i | ||||
\(607\) | 24.0981 | + | 17.5083i | 0.978111 | + | 0.710640i | 0.957286 | − | 0.289144i | \(-0.0933705\pi\) |
0.0208256 | + | 0.999783i | \(0.493371\pi\) | |||||||
\(608\) | −11.4071 | − | 0.610387i | −0.462620 | − | 0.0247544i | ||||
\(609\) | 1.66161 | + | 5.11390i | 0.0673317 | + | 0.207226i | ||||
\(610\) | 6.87418 | − | 25.6323i | 0.278327 | − | 1.03782i | ||||
\(611\) | 6.70946 | − | 4.87471i | 0.271436 | − | 0.197209i | ||||
\(612\) | −0.0357062 | − | 0.341163i | −0.00144334 | − | 0.0137907i | ||||
\(613\) | −2.81090 | − | 0.913317i | −0.113531 | − | 0.0368885i | 0.251700 | − | 0.967805i | \(-0.419010\pi\) |
−0.365232 | + | 0.930917i | \(0.619010\pi\) | |||||||
\(614\) | −0.309049 | − | 5.92189i | −0.0124722 | − | 0.238988i | ||||
\(615\) | 51.9264 | 2.09387 | ||||||||
\(616\) | 19.5422 | + | 15.2037i | 0.787376 | + | 0.612574i | ||||
\(617\) | 21.5685 | 0.868316 | 0.434158 | − | 0.900837i | \(-0.357046\pi\) | ||||
0.434158 | + | 0.900837i | \(0.357046\pi\) | |||||||
\(618\) | −1.41975 | − | 27.2048i | −0.0571108 | − | 1.09434i | ||||
\(619\) | 12.1640 | + | 3.95233i | 0.488913 | + | 0.158858i | 0.543091 | − | 0.839674i | \(-0.317254\pi\) |
−0.0541778 | + | 0.998531i | \(0.517254\pi\) | |||||||
\(620\) | 3.69759 | + | 35.3295i | 0.148499 | + | 1.41887i | ||||
\(621\) | −10.5812 | + | 7.68771i | −0.424610 | + | 0.308497i | ||||
\(622\) | −5.71435 | + | 21.3075i | −0.229125 | + | 0.854354i | ||||
\(623\) | −3.46738 | − | 10.6715i | −0.138917 | − | 0.427544i | ||||
\(624\) | 11.4416 | − | 12.6848i | 0.458032 | − | 0.507798i | ||||
\(625\) | 23.9149 | + | 17.3752i | 0.956597 | + | 0.695009i | ||||
\(626\) | −24.0358 | − | 29.6950i | −0.960663 | − | 1.18685i | ||||
\(627\) | 11.7952 | + | 2.25964i | 0.471054 | + | 0.0902414i | ||||
\(628\) | 8.71411 | − | 40.9083i | 0.347731 | − | 1.63242i | ||||
\(629\) | −4.08844 | + | 5.62726i | −0.163017 | + | 0.224373i | ||||
\(630\) | 2.22615 | − | 0.853977i | 0.0886918 | − | 0.0340232i | ||||
\(631\) | −16.9564 | + | 5.50948i | −0.675025 | + | 0.219329i | −0.626416 | − | 0.779489i | \(-0.715479\pi\) |
−0.0486093 | + | 0.998818i | \(0.515479\pi\) | |||||||
\(632\) | 3.46396 | − | 6.78733i | 0.137789 | − | 0.269986i | ||||
\(633\) | 24.6491 | + | 33.9266i | 0.979713 | + | 1.34846i | ||||
\(634\) | 1.44886 | − | 2.22998i | 0.0575417 | − | 0.0885639i | ||||
\(635\) | −14.5034 | + | 44.6370i | −0.575552 | + | 1.77137i | ||||
\(636\) | −19.6738 | − | 21.8693i | −0.780118 | − | 0.867175i | ||||
\(637\) | − | 0.0799096i | − | 0.00316613i | ||||||
\(638\) | −3.69223 | + | 3.84249i | −0.146177 | + | 0.152126i | ||||
\(639\) | − | 0.940683i | − | 0.0372129i | ||||||
\(640\) | −28.1189 | − | 18.3222i | −1.11150 | − | 0.724248i | ||||
\(641\) | 3.25881 | − | 10.0296i | 0.128715 | − | 0.396144i | −0.865845 | − | 0.500313i | \(-0.833218\pi\) |
0.994560 | + | 0.104169i | \(0.0332182\pi\) | |||||||
\(642\) | −33.5551 | − | 21.8014i | −1.32431 | − | 0.860433i | ||||
\(643\) | −8.02613 | − | 11.0470i | −0.316520 | − | 0.435652i | 0.620881 | − | 0.783905i | \(-0.286775\pi\) |
−0.937401 | + | 0.348253i | \(0.886775\pi\) | |||||||
\(644\) | 12.6340 | − | 5.61839i | 0.497851 | − | 0.221396i | ||||
\(645\) | −31.0706 | + | 10.0955i | −1.22341 | + | 0.397508i | ||||
\(646\) | −0.814719 | − | 2.12381i | −0.0320547 | − | 0.0835602i | ||||
\(647\) | 17.5960 | − | 24.2189i | 0.691772 | − | 0.952142i | −0.308228 | − | 0.951313i | \(-0.599736\pi\) |
1.00000 | 0.000829444i | \(-0.000264020\pi\) | ||||||||
\(648\) | 24.2006 | − | 12.3107i | 0.950689 | − | 0.483611i | ||||
\(649\) | 1.69968 | + | 1.81282i | 0.0667183 | + | 0.0711596i | ||||
\(650\) | −9.94804 | + | 8.05215i | −0.390194 | + | 0.315831i | ||||
\(651\) | 22.9252 | + | 16.6561i | 0.898508 | + | 0.652804i | ||||
\(652\) | 5.47506 | − | 9.47348i | 0.214420 | − | 0.371010i | ||||
\(653\) | 6.24013 | + | 19.2051i | 0.244195 | + | 0.751555i | 0.995768 | + | 0.0919047i | \(0.0292955\pi\) |
−0.751573 | + | 0.659650i | \(0.770704\pi\) | |||||||
\(654\) | −8.20866 | − | 2.20144i | −0.320984 | − | 0.0860830i | ||||
\(655\) | 22.1634 | − | 16.1026i | 0.865994 | − | 0.629182i | ||||
\(656\) | −38.8304 | − | 4.11574i | −1.51607 | − | 0.160693i | ||||
\(657\) | 0.182088 | + | 0.0591641i | 0.00710395 | + | 0.00230821i | ||||
\(658\) | −12.9801 | + | 0.677401i | −0.506018 | + | 0.0264078i | ||||
\(659\) | −13.1324 | −0.511567 | −0.255784 | − | 0.966734i | \(-0.582333\pi\) | ||||
−0.255784 | + | 0.966734i | \(0.582333\pi\) | |||||||
\(660\) | 26.6815 | + | 23.0879i | 1.03857 | + | 0.898694i | ||||
\(661\) | −37.8593 | −1.47255 | −0.736277 | − | 0.676680i | \(-0.763418\pi\) | ||||
−0.736277 | + | 0.676680i | \(0.763418\pi\) | |||||||
\(662\) | −3.32261 | + | 0.173399i | −0.129137 | + | 0.00673933i | ||||
\(663\) | 3.23512 | + | 1.05115i | 0.125641 | + | 0.0408234i | ||||
\(664\) | −30.1164 | − | 30.1562i | −1.16874 | − | 1.17029i | ||||
\(665\) | 12.7915 | − | 9.29358i | 0.496034 | − | 0.360390i | ||||
\(666\) | 2.56856 | + | 0.688849i | 0.0995298 | + | 0.0266924i | ||||
\(667\) | 0.919605 | + | 2.83025i | 0.0356072 | + | 0.109588i | ||||
\(668\) | 2.32843 | + | 1.34569i | 0.0900898 | + | 0.0520662i | ||||
\(669\) | −3.74455 | − | 2.72058i | −0.144773 | − | 0.105184i | ||||
\(670\) | −17.6300 | + | 14.2701i | −0.681107 | + | 0.551302i | ||||
\(671\) | 10.1218 | − | 18.3773i | 0.390747 | − | 0.709448i | ||||
\(672\) | −25.8681 | + | 6.90090i | −0.997884 | + | 0.266208i | ||||
\(673\) | −3.75150 | + | 5.16350i | −0.144610 | + | 0.199038i | −0.875177 | − | 0.483802i | \(-0.839255\pi\) |
0.730568 | + | 0.682840i | \(0.239255\pi\) | |||||||
\(674\) | 10.9573 | + | 28.5636i | 0.422060 | + | 1.10023i | ||||
\(675\) | −18.0449 | + | 5.86315i | −0.694549 | + | 0.225673i | ||||
\(676\) | −5.95499 | − | 13.3910i | −0.229038 | − | 0.515037i | ||||
\(677\) | −20.4623 | − | 28.1640i | −0.786430 | − | 1.08243i | −0.994543 | − | 0.104324i | \(-0.966732\pi\) |
0.208113 | − | 0.978105i | \(-0.433268\pi\) | |||||||
\(678\) | −5.08935 | − | 3.30665i | −0.195455 | − | 0.126991i | ||||
\(679\) | −5.97543 | + | 18.3905i | −0.229316 | + | 0.705762i | ||||
\(680\) | 1.04980 | − | 6.60004i | 0.0402581 | − | 0.253100i | ||||
\(681\) | − | 3.81734i | − | 0.146281i | ||||||
\(682\) | −3.83927 | + | 27.8196i | −0.147013 | + | 1.06527i | ||||
\(683\) | − | 10.9010i | − | 0.417115i | −0.978010 | − | 0.208558i | \(-0.933123\pi\) | ||
0.978010 | − | 0.208558i | \(-0.0668769\pi\) | |||||||
\(684\) | −0.646555 | + | 0.581646i | −0.0247216 | + | 0.0222398i | ||||
\(685\) | −13.9498 | + | 42.9330i | −0.532993 | + | 1.64038i | ||||
\(686\) | −14.3038 | + | 22.0153i | −0.546121 | + | 0.840548i | ||||
\(687\) | 13.3661 | + | 18.3968i | 0.509948 | + | 0.701883i | ||||
\(688\) | 24.0347 | − | 5.08667i | 0.916316 | − | 0.193928i | ||||
\(689\) | 18.5795 | − | 6.03684i | 0.707822 | − | 0.229985i | ||||
\(690\) | 18.3969 | − | 7.05727i | 0.700358 | − | 0.268666i | ||||
\(691\) | 18.5723 | − | 25.5626i | 0.706525 | − | 0.972449i | −0.293340 | − | 0.956008i | \(-0.594767\pi\) |
0.999865 | − | 0.0164403i | \(-0.00523334\pi\) | |||||||
\(692\) | −15.4963 | − | 3.30095i | −0.589080 | − | 0.125483i | ||||
\(693\) | 1.87032 | − | 0.234786i | 0.0710474 | − | 0.00891877i | ||||
\(694\) | −0.472856 | − | 0.584191i | −0.0179494 | − | 0.0221756i | ||||
\(695\) | −13.2991 | − | 9.66236i | −0.504464 | − | 0.366514i | ||||
\(696\) | −0.897649 | − | 5.69181i | −0.0340253 | − | 0.215747i | ||||
\(697\) | −2.40276 | − | 7.39494i | −0.0910111 | − | 0.280103i | ||||
\(698\) | −13.1288 | + | 48.9545i | −0.496934 | + | 1.85295i | ||||
\(699\) | 5.62973 | − | 4.09024i | 0.212936 | − | 0.154707i | ||||
\(700\) | 19.9495 | − | 2.08792i | 0.754021 | − | 0.0789159i | ||||
\(701\) | 24.9699 | + | 8.11321i | 0.943100 | + | 0.306432i | 0.739909 | − | 0.672707i | \(-0.234869\pi\) |
0.203191 | + | 0.979139i | \(0.434869\pi\) | |||||||
\(702\) | 0.876512 | + | 16.7954i | 0.0330818 | + | 0.633903i | ||||
\(703\) | 17.6348 | 0.665110 | ||||||||
\(704\) | −18.1224 | − | 19.3799i | −0.683013 | − | 0.730406i | ||||
\(705\) | −18.5225 | −0.697596 | ||||||||
\(706\) | 0.0710825 | + | 1.36206i | 0.00267523 | + | 0.0512618i | ||||
\(707\) | 13.4717 | + | 4.37721i | 0.506654 | + | 0.164622i | ||||
\(708\) | −2.67244 | + | 0.279698i | −0.100436 | + | 0.0105117i | ||||
\(709\) | 6.05149 | − | 4.39667i | 0.227269 | − | 0.165120i | −0.468324 | − | 0.883557i | \(-0.655142\pi\) |
0.695592 | + | 0.718437i | \(0.255142\pi\) | |||||||
\(710\) | 4.74722 | − | 17.7013i | 0.178160 | − | 0.664318i | ||||
\(711\) | −0.179271 | − | 0.551739i | −0.00672318 | − | 0.0206918i | ||||
\(712\) | 1.87318 | + | 11.8774i | 0.0702004 | + | 0.445126i | ||||
\(713\) | 12.6878 | + | 9.21821i | 0.475161 | + | 0.345225i | ||||
\(714\) | −3.35411 | − | 4.14385i | −0.125525 | − | 0.155080i | ||||
\(715\) | −21.2099 | + | 9.96032i | −0.793206 | + | 0.372495i | ||||
\(716\) | 50.3363 | + | 10.7224i | 1.88115 | + | 0.400716i | ||||
\(717\) | −15.4199 | + | 21.2237i | −0.575868 | + | 0.792615i | ||||
\(718\) | 20.7161 | − | 7.94694i | 0.773117 | − | 0.296577i | ||||
\(719\) | −35.3708 | + | 11.4927i | −1.31911 | + | 0.428605i | −0.882189 | − | 0.470896i | \(-0.843931\pi\) |
−0.436920 | + | 0.899500i | \(0.643931\pi\) | |||||||
\(720\) | −2.49971 | + | 0.529035i | −0.0931588 | + | 0.0197160i | ||||
\(721\) | −16.6661 | − | 22.9389i | −0.620677 | − | 0.854289i | ||||
\(722\) | 11.4974 | − | 17.6959i | 0.427888 | − | 0.658573i | ||||
\(723\) | −10.2138 | + | 31.4348i | −0.379855 | + | 1.16907i | ||||
\(724\) | −19.9268 | + | 17.9263i | −0.740573 | + | 0.666226i | ||||
\(725\) | 4.31707i | 0.160332i | ||||||||
\(726\) | 16.1181 | + | 22.7665i | 0.598200 | + | 0.844946i | ||||
\(727\) | 10.3895i | 0.385324i | 0.981265 | + | 0.192662i | \(0.0617121\pi\) | ||||
−0.981265 | + | 0.192662i | \(0.938288\pi\) | |||||||
\(728\) | 2.79297 | − | 17.5592i | 0.103514 | − | 0.650789i | ||||
\(729\) | −7.66170 | + | 23.5803i | −0.283767 | + | 0.873344i | ||||
\(730\) | 3.12787 | + | 2.03224i | 0.115768 | + | 0.0752167i | ||||
\(731\) | 2.87543 | + | 3.95769i | 0.106352 | + | 0.146381i | ||||
\(732\) | 9.21816 | + | 20.7288i | 0.340713 | + | 0.766160i | ||||
\(733\) | 16.2007 | − | 5.26392i | 0.598385 | − | 0.194427i | 0.00586517 | − | 0.999983i | \(-0.498133\pi\) |
0.592520 | + | 0.805556i | \(0.298133\pi\) | |||||||
\(734\) | 15.0068 | + | 39.1197i | 0.553911 | + | 1.44394i | ||||
\(735\) | −0.104903 | + | 0.144386i | −0.00386940 | + | 0.00532577i | ||||
\(736\) | −14.3165 | + | 3.81926i | −0.527715 | + | 0.140780i | ||||
\(737\) | −16.2309 | + | 7.62215i | −0.597874 | + | 0.280765i | ||||
\(738\) | −2.31069 | + | 1.87032i | −0.0850576 | + | 0.0688473i | ||||
\(739\) | −20.4337 | − | 14.8459i | −0.751666 | − | 0.546117i | 0.144677 | − | 0.989479i | \(-0.453786\pi\) |
−0.896343 | + | 0.443362i | \(0.853786\pi\) | |||||||
\(740\) | 44.8576 | + | 25.9248i | 1.64900 | + | 0.953016i | ||||
\(741\) | −2.66500 | − | 8.20204i | −0.0979014 | − | 0.301309i | ||||
\(742\) | −29.5724 | − | 7.93085i | −1.08564 | − | 0.291151i | ||||
\(743\) | 23.8662 | − | 17.3398i | 0.875568 | − | 0.636137i | −0.0565075 | − | 0.998402i | \(-0.517996\pi\) |
0.932075 | + | 0.362265i | \(0.117996\pi\) | |||||||
\(744\) | −21.4582 | − | 21.4865i | −0.786695 | − | 0.787732i | ||||
\(745\) | 6.04584 | + | 1.96441i | 0.221503 | + | 0.0719706i | ||||
\(746\) | −18.6720 | + | 0.974446i | −0.683631 | + | 0.0356770i | ||||
\(747\) | −3.24465 | −0.118716 | ||||||||
\(748\) | 2.05337 | − | 4.86810i | 0.0750787 | − | 0.177995i | ||||
\(749\) | −41.6492 | −1.52183 | ||||||||
\(750\) | −9.01618 | + | 0.470532i | −0.329224 | + | 0.0171814i | ||||
\(751\) | −38.7496 | − | 12.5905i | −1.41399 | − | 0.459435i | −0.500306 | − | 0.865849i | \(-0.666779\pi\) |
−0.913689 | + | 0.406414i | \(0.866779\pi\) | |||||||
\(752\) | 13.8511 | + | 1.46811i | 0.505096 | + | 0.0535366i | ||||
\(753\) | 14.8340 | − | 10.7775i | 0.540580 | − | 0.392754i | ||||
\(754\) | 3.69608 | + | 0.991231i | 0.134603 | + | 0.0360985i | ||||
\(755\) | −11.7310 | − | 36.1042i | −0.426933 | − | 1.31396i | ||||
\(756\) | 13.1893 | − | 22.8214i | 0.479691 | − | 0.830007i | ||||
\(757\) | −10.9418 | − | 7.94968i | −0.397686 | − | 0.288936i | 0.370912 | − | 0.928668i | \(-0.379045\pi\) |
−0.768598 | + | 0.639732i | \(0.779045\pi\) | |||||||
\(758\) | 35.8288 | − | 29.0005i | 1.30136 | − | 1.05335i | ||||
\(759\) | 15.4563 | − | 1.94027i | 0.561028 | − | 0.0704274i | ||||
\(760\) | −15.1019 | + | 7.68225i | −0.547802 | + | 0.278664i | ||||
\(761\) | 24.0067 | − | 33.0424i | 0.870241 | − | 1.19778i | −0.108788 | − | 0.994065i | \(-0.534697\pi\) |
0.979029 | − | 0.203720i | \(-0.0653031\pi\) | |||||||
\(762\) | −14.3701 | − | 37.4600i | −0.520575 | − | 1.35703i | ||||
\(763\) | −8.41276 | + | 2.73347i | −0.304562 | + | 0.0989583i | ||||
\(764\) | −7.67544 | + | 3.41329i | −0.277688 | + | 0.123488i | ||||
\(765\) | −0.299057 | − | 0.411616i | −0.0108124 | − | 0.0148820i | ||||
\(766\) | −28.4692 | − | 18.4970i | −1.02863 | − | 0.668324i | ||||
\(767\) | 0.551434 | − | 1.69714i | 0.0199111 | − | 0.0612802i | ||||
\(768\) | 28.5382 | − | 2.94879i | 1.02978 | − | 0.106405i | ||||
\(769\) | 25.8172i | 0.930990i | 0.885050 | + | 0.465495i | \(0.154124\pi\) | ||||
−0.885050 | + | 0.465495i | \(0.845876\pi\) | |||||||
\(770\) | 36.3795 | + | 5.02059i | 1.31103 | + | 0.180930i | ||||
\(771\) | − | 1.95064i | − | 0.0702507i | ||||||
\(772\) | 24.0254 | + | 26.7065i | 0.864694 | + | 0.961189i | ||||
\(773\) | 9.05979 | − | 27.8832i | 0.325858 | − | 1.00289i | −0.645194 | − | 0.764019i | \(-0.723223\pi\) |
0.971052 | − | 0.238869i | \(-0.0767765\pi\) | |||||||
\(774\) | 1.01900 | − | 1.56836i | 0.0366271 | − | 0.0563736i | ||||
\(775\) | 13.3726 | + | 18.4059i | 0.480360 | + | 0.661158i | ||||
\(776\) | 9.41963 | − | 18.4570i | 0.338145 | − | 0.662567i | ||||
\(777\) | 39.3074 | − | 12.7717i | 1.41014 | − | 0.458184i | ||||
\(778\) | 1.87760 | − | 0.720269i | 0.0673151 | − | 0.0258229i | ||||
\(779\) | −11.5872 | + | 15.9484i | −0.415155 | + | 0.571412i | ||||
\(780\) | 5.27881 | − | 24.7813i | 0.189012 | − | 0.887312i | ||||
\(781\) | 6.98998 | − | 12.6911i | 0.250121 | − | 0.454125i | ||||
\(782\) | −1.85631 | − | 2.29338i | −0.0663816 | − | 0.0820112i | ||||
\(783\) | 4.58956 | + | 3.33451i | 0.164018 | + | 0.119166i | ||||
\(784\) | 0.0898903 | − | 0.0996571i | 0.00321037 | − | 0.00355918i | ||||
\(785\) | −19.1706 | − | 59.0011i | −0.684229 | − | 2.10584i | ||||
\(786\) | −6.06626 | + | 22.6197i | −0.216376 | + | 0.806819i | ||||
\(787\) | 26.4789 | − | 19.2380i | 0.943870 | − | 0.685762i | −0.00547927 | − | 0.999985i | \(-0.501744\pi\) |
0.949349 | + | 0.314223i | \(0.101744\pi\) | |||||||
\(788\) | 1.53354 | + | 14.6526i | 0.0546302 | + | 0.521977i | ||||
\(789\) | 42.2654 | + | 13.7329i | 1.50469 | + | 0.488903i | ||||
\(790\) | −0.589043 | − | 11.2870i | −0.0209572 | − | 0.401575i | ||||
\(791\) | −6.31699 | −0.224606 | ||||||||
\(792\) | −2.01890 | − | 0.0663635i | −0.0717385 | − | 0.00235812i | ||||
\(793\) | −15.0660 | −0.535009 | ||||||||
\(794\) | 0.652903 | + | 12.5107i | 0.0231707 | + | 0.443989i | ||||
\(795\) | −41.4957 | − | 13.4828i | −1.47170 | − | 0.478185i | ||||
\(796\) | 4.44756 | + | 42.4953i | 0.157640 | + | 1.50621i | ||||
\(797\) | 20.0226 | − | 14.5473i | 0.709237 | − | 0.515291i | −0.173691 | − | 0.984800i | \(-0.555569\pi\) |
0.882927 | + | 0.469510i | \(0.155569\pi\) | |||||||
\(798\) | −3.50113 | + | 13.0549i | −0.123939 | + | 0.462139i | ||||
\(799\) | 0.857081 | + | 2.63782i | 0.0303213 | + | 0.0933195i | ||||
\(800\) | −21.4643 | − | 1.14854i | −0.758877 | − | 0.0406069i | ||||
\(801\) | 0.740591 | + | 0.538071i | 0.0261675 | + | 0.0190118i | ||||
\(802\) | 24.0876 | + | 29.7591i | 0.850563 | + | 1.05083i | ||||
\(803\) | 2.01700 | + | 2.15126i | 0.0711782 | + | 0.0759163i | ||||
\(804\) | 4.03961 | − | 18.9639i | 0.142466 | − | 0.668805i | ||||
\(805\) | 12.0546 | − | 16.5917i | 0.424869 | − | 0.584782i | ||||
\(806\) | 18.8287 | − | 7.22291i | 0.663212 | − | 0.254416i | ||||
\(807\) | −28.8197 | + | 9.36408i | −1.01450 | + | 0.329631i | ||||
\(808\) | −13.5204 | − | 6.90020i | −0.475645 | − | 0.242748i | ||||
\(809\) | 2.34414 | + | 3.22643i | 0.0824156 | + | 0.113435i | 0.848234 | − | 0.529621i | \(-0.177666\pi\) |
−0.765819 | + | 0.643057i | \(0.777666\pi\) | |||||||
\(810\) | 21.9413 | − | 33.7703i | 0.770938 | − | 1.18657i | ||||
\(811\) | −3.43204 | + | 10.5627i | −0.120515 | + | 0.370908i | −0.993057 | − | 0.117631i | \(-0.962470\pi\) |
0.872542 | + | 0.488539i | \(0.162470\pi\) | |||||||
\(812\) | −4.01108 | − | 4.45870i | −0.140761 | − | 0.156470i | ||||
\(813\) | − | 23.3286i | − | 0.818169i | ||||||
\(814\) | 29.5348 | + | 28.3799i | 1.03520 | + | 0.994714i | ||||
\(815\) | − | 16.2291i | − | 0.568482i | ||||||
\(816\) | 2.85214 | + | 4.95010i | 0.0998450 | + | 0.173288i | ||||
\(817\) | 3.83265 | − | 11.7957i | 0.134087 | − | 0.412678i | ||||
\(818\) | −34.1170 | − | 22.1665i | −1.19287 | − | 0.775033i | ||||
\(819\) | −0.795633 | − | 1.09509i | −0.0278017 | − | 0.0382657i | ||||
\(820\) | −52.9200 | + | 23.5337i | −1.84805 | + | 0.821831i | ||||
\(821\) | −32.8383 | + | 10.6698i | −1.14607 | + | 0.372379i | −0.819660 | − | 0.572851i | \(-0.805837\pi\) |
−0.326405 | + | 0.945230i | \(0.605837\pi\) | |||||||
\(822\) | −13.8215 | − | 36.0300i | −0.482081 | − | 1.25669i | ||||
\(823\) | 3.28247 | − | 4.51793i | 0.114420 | − | 0.157485i | −0.747966 | − | 0.663737i | \(-0.768969\pi\) |
0.862386 | + | 0.506252i | \(0.168969\pi\) | |||||||
\(824\) | 13.7765 | + | 27.0820i | 0.479927 | + | 0.943446i | ||||
\(825\) | 22.1945 | + | 4.25187i | 0.772713 | + | 0.148031i | ||||
\(826\) | −2.17386 | + | 1.75957i | −0.0756382 | + | 0.0612231i | ||||
\(827\) | −19.3420 | − | 14.0528i | −0.672586 | − | 0.488662i | 0.198304 | − | 0.980141i | \(-0.436457\pi\) |
−0.870890 | + | 0.491479i | \(0.836457\pi\) | |||||||
\(828\) | −0.564456 | + | 0.976675i | −0.0196162 | + | 0.0339418i | ||||
\(829\) | 9.07004 | + | 27.9147i | 0.315015 | + | 0.969518i | 0.975748 | + | 0.218896i | \(0.0702457\pi\) |
−0.660733 | + | 0.750621i | \(0.729754\pi\) | |||||||
\(830\) | −61.0562 | − | 16.3743i | −2.11929 | − | 0.568362i | ||||
\(831\) | −38.5269 | + | 27.9914i | −1.33648 | + | 0.971013i | ||||
\(832\) | −5.91168 | + | 18.1130i | −0.204950 | + | 0.627955i | ||||
\(833\) | 0.0254165 | + | 0.00825831i | 0.000880628 | + | 0.000286133i | ||||
\(834\) | 14.0335 | − | 0.732372i | 0.485939 | − | 0.0253600i | ||||
\(835\) | 3.98887 | 0.138041 | ||||||||
\(836\) | −13.0450 | + | 3.04284i | −0.451171 | + | 0.105239i | ||||
\(837\) | 29.8967 | 1.03338 | ||||||||
\(838\) | 37.4521 | − | 1.95453i | 1.29376 | − | 0.0675182i | ||||
\(839\) | 28.4158 | + | 9.23286i | 0.981023 | + | 0.318754i | 0.755258 | − | 0.655428i | \(-0.227512\pi\) |
0.225766 | + | 0.974182i | \(0.427512\pi\) | |||||||
\(840\) | −28.0977 | + | 28.0607i | −0.969464 | + | 0.968187i | ||||
\(841\) | −22.4172 | + | 16.2871i | −0.773008 | + | 0.561623i | ||||
\(842\) | 12.2861 | + | 3.29495i | 0.423408 | + | 0.113552i | ||||
\(843\) | 17.8982 | + | 55.0851i | 0.616448 | + | 1.89723i | ||||
\(844\) | −40.4967 | − | 23.4045i | −1.39395 | − | 0.805616i | ||||
\(845\) | −17.5857 | − | 12.7768i | −0.604968 | − | 0.439535i | ||||
\(846\) | 0.824237 | − | 0.667154i | 0.0283378 | − | 0.0229372i | ||||
\(847\) | 26.9778 | + | 10.7303i | 0.926968 | + | 0.368696i | ||||
\(848\) | 29.9617 | + | 13.3714i | 1.02889 | + | 0.459175i | ||||
\(849\) | −26.5434 | + | 36.5339i | −0.910968 | + | 1.25384i | ||||
\(850\) | −1.53302 | − | 3.99628i | −0.0525822 | − | 0.137071i | ||||
\(851\) | 21.7544 | − | 7.06843i | 0.745731 | − | 0.242303i | ||||
\(852\) | 6.36594 | + | 14.3151i | 0.218094 | + | 0.490426i | ||||
\(853\) | −4.89534 | − | 6.73786i | −0.167613 | − | 0.230700i | 0.716945 | − | 0.697130i | \(-0.245540\pi\) |
−0.884558 | + | 0.466430i | \(0.845540\pi\) | |||||||
\(854\) | 19.8001 | + | 12.8645i | 0.677545 | + | 0.440214i | ||||
\(855\) | −0.398611 | + | 1.22680i | −0.0136322 | + | 0.0419556i | ||||
\(856\) | 44.0779 | + | 7.01103i | 1.50655 | + | 0.239632i | ||||
\(857\) | 51.9385i | 1.77418i | 0.461593 | + | 0.887092i | \(0.347278\pi\) | ||||
−0.461593 | + | 0.887092i | \(0.652722\pi\) | |||||||
\(858\) | 8.73626 | − | 18.0256i | 0.298251 | − | 0.615384i | ||||
\(859\) | − | 16.3808i | − | 0.558906i | −0.960159 | − | 0.279453i | \(-0.909847\pi\) | ||
0.960159 | − | 0.279453i | \(-0.0901531\pi\) | |||||||
\(860\) | 27.0898 | − | 24.3702i | 0.923755 | − | 0.831018i | ||||
\(861\) | −14.2771 | + | 43.9403i | −0.486561 | + | 1.49748i | ||||
\(862\) | 20.8712 | − | 32.1233i | 0.710875 | − | 1.09412i | ||||
\(863\) | −7.65269 | − | 10.5330i | −0.260501 | − | 0.358548i | 0.658654 | − | 0.752446i | \(-0.271126\pi\) |
−0.919154 | + | 0.393898i | \(0.871126\pi\) | |||||||
\(864\) | −17.8001 | + | 21.9319i | −0.605570 | + | 0.746140i | ||||
\(865\) | −22.3500 | + | 7.26194i | −0.759922 | + | 0.246913i | ||||
\(866\) | 22.5263 | − | 8.64135i | 0.765474 | − | 0.293645i | ||||
\(867\) | 17.2490 | − | 23.7412i | 0.585805 | − | 0.806292i | ||||
\(868\) | −30.9126 | − | 6.58488i | −1.04924 | − | 0.223505i | ||||
\(869\) | 1.68122 | − | 8.77585i | 0.0570314 | − | 0.297700i | ||||
\(870\) | −5.37707 | − | 6.64311i | −0.182300 | − | 0.225223i | ||||
\(871\) | 10.4174 | + | 7.56868i | 0.352980 | + | 0.256455i | ||||
\(872\) | 9.36346 | − | 1.47670i | 0.317087 | − | 0.0500074i | ||||
\(873\) | −0.487496 | − | 1.50036i | −0.0164993 | − | 0.0507795i | ||||
\(874\) | −1.93768 | + | 7.22515i | −0.0655428 | + | 0.244394i | ||||
\(875\) | −7.60237 | + | 5.52344i | −0.257007 | + | 0.186726i | ||||
\(876\) | −3.17136 | + | 0.331915i | −0.107150 | + | 0.0112144i | ||||
\(877\) | −4.83365 | − | 1.57055i | −0.163221 | − | 0.0530337i | 0.226267 | − | 0.974065i | \(-0.427348\pi\) |
−0.389488 | + | 0.921032i | \(0.627348\pi\) | |||||||
\(878\) | 1.52091 | + | 29.1433i | 0.0513283 | + | 0.983537i | ||||
\(879\) | 2.33376 | 0.0787156 | ||||||||
\(880\) | −37.6557 | − | 11.4373i | −1.26937 | − | 0.385551i | ||||
\(881\) | 16.3529 | 0.550942 | 0.275471 | − | 0.961309i | \(-0.411166\pi\) | ||||
0.275471 | + | 0.961309i | \(0.411166\pi\) | |||||||
\(882\) | −0.000532497 | − | 0.0102035i | −1.79301e−5 | − | 0.000343571i | ||||
\(883\) | −22.9941 | − | 7.47123i | −0.773812 | − | 0.251427i | −0.104616 | − | 0.994513i | \(-0.533361\pi\) |
−0.669196 | + | 0.743086i | \(0.733361\pi\) | |||||||
\(884\) | −3.77342 | + | 0.394926i | −0.126914 | + | 0.0132828i | ||||
\(885\) | −3.22432 | + | 2.34261i | −0.108384 | + | 0.0787458i | ||||
\(886\) | 14.7688 | − | 55.0694i | 0.496166 | − | 1.85009i | ||||
\(887\) | −6.66651 | − | 20.5174i | −0.223839 | − | 0.688907i | −0.998407 | − | 0.0564163i | \(-0.982033\pi\) |
0.774568 | − | 0.632491i | \(-0.217967\pi\) | |||||||
\(888\) | −43.7494 | + | 6.89967i | −1.46813 | + | 0.231538i | ||||
\(889\) | −33.7843 | − | 24.5458i | −1.13309 | − | 0.823238i | ||||
\(890\) | 11.2207 | + | 13.8626i | 0.376118 | + | 0.464675i | ||||
\(891\) | 23.2263 | − | 21.7766i | 0.778109 | − | 0.729545i | ||||
\(892\) | 5.04921 | + | 1.07556i | 0.169060 | + | 0.0360124i | ||||
\(893\) | 4.13323 | − | 5.68891i | 0.138313 | − | 0.190372i | ||||
\(894\) | −5.07376 | + | 1.94636i | −0.169692 | + | 0.0650959i | ||||
\(895\) | 72.5990 | − | 23.5888i | 2.42672 | − | 0.788488i | ||||
\(896\) | 23.2356 | − | 18.7567i | 0.776246 | − | 0.626617i | ||||
\(897\) | −6.57512 | − | 9.04988i | −0.219537 | − | 0.302167i | ||||
\(898\) | −14.0152 | + | 21.5712i | −0.467695 | + | 0.719841i | ||||
\(899\) | 2.10206 | − | 6.46949i | 0.0701077 | − | 0.215769i | ||||
\(900\) | −1.21659 | + | 1.09446i | −0.0405531 | + | 0.0364819i | ||||
\(901\) | 6.53337i | 0.217658i | ||||||||
\(902\) | −45.0723 | + | 8.06307i | −1.50074 | + | 0.268471i | ||||
\(903\) | − | 29.0678i | − | 0.967317i | ||||||
\(904\) | 6.68535 | + | 1.06337i | 0.222351 | + | 0.0353672i | ||||
\(905\) | −12.2852 | + | 37.8099i | −0.408373 | + | 1.25684i | ||||
\(906\) | 27.2127 | + | 17.6806i | 0.904081 | + | 0.587399i | ||||
\(907\) | 10.1707 | + | 13.9988i | 0.337713 | + | 0.464822i | 0.943772 | − | 0.330598i | \(-0.107250\pi\) |
−0.606059 | + | 0.795420i | \(0.707250\pi\) | |||||||
\(908\) | 1.73006 | + | 3.89038i | 0.0574142 | + | 0.129107i | ||||
\(909\) | −1.09906 | + | 0.357108i | −0.0364537 | + | 0.0118445i | ||||
\(910\) | −9.44536 | − | 24.6222i | −0.313111 | − | 0.816217i | ||||
\(911\) | −32.7109 | + | 45.0227i | −1.08376 | + | 1.49167i | −0.228450 | + | 0.973556i | \(0.573366\pi\) |
−0.855311 | + | 0.518114i | \(0.826634\pi\) | |||||||
\(912\) | 5.90289 | − | 13.2268i | 0.195464 | − | 0.437983i | ||||
\(913\) | −43.7749 | − | 24.1102i | −1.44874 | − | 0.797930i | ||||
\(914\) | −18.4574 | + | 14.9398i | −0.610518 | + | 0.494165i | ||||
\(915\) | 27.2223 | + | 19.7781i | 0.899940 | + | 0.653845i | ||||
\(916\) | −21.9595 | − | 12.6912i | −0.725564 | − | 0.419329i | ||||
\(917\) | 7.53233 | + | 23.1821i | 0.248739 | + | 0.765541i | ||||
\(918\) | −5.43262 | − | 1.45695i | −0.179303 | − | 0.0480864i | ||||
\(919\) | −28.3368 | + | 20.5879i | −0.934745 | + | 0.679132i | −0.947150 | − | 0.320791i | \(-0.896051\pi\) |
0.0124049 | + | 0.999923i | \(0.496051\pi\) | |||||||
\(920\) | −15.5505 | + | 15.5300i | −0.512685 | + | 0.512010i | ||||
\(921\) | 7.15081 | + | 2.32344i | 0.235627 | + | 0.0765599i | ||||
\(922\) | −20.8338 | + | 1.08727i | −0.686125 | + | 0.0358072i | ||||
\(923\) | −10.4044 | −0.342464 | ||||||||
\(924\) | −26.8731 | + | 16.2300i | −0.884059 | + | 0.533928i | ||||
\(925\) | 33.1827 | 1.09104 | ||||||||
\(926\) | −37.0961 | + | 1.93596i | −1.21906 | + | 0.0636194i | ||||
\(927\) | 2.20000 | + | 0.714824i | 0.0722576 | + | 0.0234779i | ||||
\(928\) | 3.49442 | + | 5.39390i | 0.114710 | + | 0.177063i | ||||
\(929\) | 37.0672 | − | 26.9309i | 1.21613 | − | 0.883574i | 0.220362 | − | 0.975418i | \(-0.429276\pi\) |
0.995773 | + | 0.0918445i | \(0.0292763\pi\) | |||||||
\(930\) | −43.5030 | − | 11.6668i | −1.42652 | − | 0.382571i | ||||
\(931\) | −0.0209374 | − | 0.0644387i | −0.000686196 | − | 0.00211189i | ||||
\(932\) | −3.88372 | + | 6.71997i | −0.127215 | + | 0.220120i | ||||
\(933\) | −22.6293 | − | 16.4411i | −0.740849 | − | 0.538258i | ||||
\(934\) | −3.23660 | + | 2.61977i | −0.105905 | + | 0.0857215i | ||||
\(935\) | −0.976078 | − | 7.77549i | −0.0319212 | − | 0.254286i | ||||
\(936\) | 0.657685 | + | 1.29289i | 0.0214971 | + | 0.0422593i | ||||
\(937\) | −30.9847 | + | 42.6468i | −1.01223 | + | 1.39321i | −0.0947149 | + | 0.995504i | \(0.530194\pi\) |
−0.917512 | + | 0.397707i | \(0.869806\pi\) | |||||||
\(938\) | −7.22807 | − | 18.8421i | −0.236005 | − | 0.615218i | ||||
\(939\) | 46.0690 | − | 14.9687i | 1.50340 | − | 0.488485i | ||||
\(940\) | 18.8769 | − | 8.39461i | 0.615697 | − | 0.273802i | ||||
\(941\) | 29.9579 | + | 41.2335i | 0.976599 | + | 1.34417i | 0.938642 | + | 0.344893i | \(0.112085\pi\) |
0.0379566 | + | 0.999279i | \(0.487915\pi\) | |||||||
\(942\) | 44.4708 | + | 28.8935i | 1.44894 | + | 0.941403i | ||||
\(943\) | −7.90155 | + | 24.3185i | −0.257310 | + | 0.791919i | ||||
\(944\) | 2.59682 | − | 1.49623i | 0.0845192 | − | 0.0486982i | ||||
\(945\) | − | 39.0957i | − | 1.27178i | ||||||
\(946\) | 25.4018 | − | 13.5875i | 0.825884 | − | 0.441768i | ||||
\(947\) | − | 0.329006i | − | 0.0106913i | −0.999986 | − | 0.00534564i | \(-0.998298\pi\) | ||
0.999986 | − | 0.00534564i | \(-0.00170158\pi\) | |||||||
\(948\) | 6.46191 | + | 7.18302i | 0.209873 | + | 0.233294i | ||||
\(949\) | 0.654381 | − | 2.01398i | 0.0212421 | − | 0.0653765i | ||||
\(950\) | −5.91228 | + | 9.09974i | −0.191820 | + | 0.295234i | ||||
\(951\) | 1.98193 | + | 2.72789i | 0.0642685 | + | 0.0884580i | ||||
\(952\) | 5.29634 | + | 2.70302i | 0.171655 | + | 0.0876053i | ||||
\(953\) | 11.1771 | − | 3.63167i | 0.362063 | − | 0.117641i | −0.122336 | − | 0.992489i | \(-0.539038\pi\) |
0.484399 | + | 0.874847i | \(0.339038\pi\) | |||||||
\(954\) | 2.33216 | − | 0.894645i | 0.0755065 | − | 0.0289652i | ||||
\(955\) | −7.32341 | + | 10.0798i | −0.236980 | + | 0.326175i | ||||
\(956\) | 6.09617 | − | 28.6184i | 0.197164 | − | 0.925585i | ||||
\(957\) | −2.87208 | − | 6.11592i | −0.0928411 | − | 0.197700i | ||||
\(958\) | −2.45730 | − | 3.03588i | −0.0793919 | − | 0.0980849i | ||||
\(959\) | −32.4946 | − | 23.6087i | −1.04931 | − | 0.762365i | ||||
\(960\) | 34.4598 | − | 24.9672i | 1.11218 | − | 0.805812i | ||||
\(961\) | −1.49831 | − | 4.61132i | −0.0483326 | − | 0.148752i | ||||
\(962\) | 7.61898 | − | 28.4094i | 0.245646 | − | 0.915957i | ||||
\(963\) | 2.74895 | − | 1.99723i | 0.0885837 | − | 0.0643598i | ||||
\(964\) | −3.83740 | − | 36.6653i | −0.123594 | − | 1.18091i | ||||
\(965\) | 50.6740 | + | 16.4650i | 1.63125 | + | 0.530027i | ||||
\(966\) | 0.913695 | + | 17.5079i | 0.0293977 | + | 0.563308i | ||||
\(967\) | −41.0543 | −1.32022 | −0.660108 | − | 0.751170i | \(-0.729490\pi\) | ||||
−0.660108 | + | 0.751170i | \(0.729490\pi\) | |||||||
\(968\) | −26.7447 | − | 15.8973i | −0.859606 | − | 0.510958i | ||||
\(969\) | 2.88420 | 0.0926538 | ||||||||
\(970\) | −1.60180 | − | 30.6932i | −0.0514307 | − | 0.985499i | ||||
\(971\) | 27.5403 | + | 8.94840i | 0.883812 | + | 0.287168i | 0.715539 | − | 0.698573i | \(-0.246181\pi\) |
0.168273 | + | 0.985740i | \(0.446181\pi\) | |||||||
\(972\) | 0.464991 | + | 4.44287i | 0.0149146 | + | 0.142505i | ||||
\(973\) | 11.8329 | − | 8.59710i | 0.379345 | − | 0.275611i | ||||
\(974\) | 0.973073 | − | 3.62837i | 0.0311793 | − | 0.116260i | ||||
\(975\) | −5.01462 | − | 15.4334i | −0.160596 | − | 0.494265i | ||||
\(976\) | −18.7891 | − | 16.9477i | −0.601425 | − | 0.542483i | ||||
\(977\) | 11.2540 | + | 8.17652i | 0.360048 | + | 0.261590i | 0.753072 | − | 0.657938i | \(-0.228571\pi\) |
−0.393024 | + | 0.919528i | \(0.628571\pi\) | |||||||
\(978\) | 8.72852 | + | 10.7837i | 0.279107 | + | 0.344824i | ||||
\(979\) | 5.99334 | + | 12.7625i | 0.191548 | + | 0.407891i | ||||
\(980\) | 0.0414726 | − | 0.194692i | 0.00132479 | − | 0.00621922i | ||||
\(981\) | 0.424183 | − | 0.583837i | 0.0135431 | − | 0.0186405i | ||||
\(982\) | −27.5768 | + | 10.5788i | −0.880011 | + | 0.337583i | ||||
\(983\) | 27.6107 | − | 8.97125i | 0.880643 | − | 0.286138i | 0.166419 | − | 0.986055i | \(-0.446780\pi\) |
0.714224 | + | 0.699917i | \(0.246780\pi\) | |||||||
\(984\) | 22.5063 | − | 44.0992i | 0.717475 | − | 1.40583i | ||||
\(985\) | 12.8442 | + | 17.6785i | 0.409249 | + | 0.563283i | ||||
\(986\) | −0.697249 | + | 1.07315i | −0.0222049 | + | 0.0341762i | ||||
\(987\) | 5.09272 | − | 15.6738i | 0.162103 | − | 0.498902i | ||||
\(988\) | 6.43327 | + | 7.15118i | 0.204669 | + | 0.227509i | ||||
\(989\) | − | 16.0874i | − | 0.511550i | ||||||
\(990\) | −2.64189 | + | 1.41316i | −0.0839648 | + | 0.0449131i | ||||
\(991\) | 32.0157i | 1.01701i | 0.861058 | + | 0.508506i | \(0.169802\pi\) | ||||
−0.861058 | + | 0.508506i | \(0.830198\pi\) | |||||||
\(992\) | 31.6067 | + | 12.1725i | 1.00351 | + | 0.386478i | ||||
\(993\) | 1.30362 | − | 4.01212i | 0.0413690 | − | 0.127321i | ||||
\(994\) | 13.6737 | + | 8.88407i | 0.433703 | + | 0.281786i | ||||
\(995\) | 37.2505 | + | 51.2709i | 1.18092 | + | 1.62540i | ||||
\(996\) | 49.3762 | − | 21.9577i | 1.56455 | − | 0.695757i | ||||
\(997\) | 25.6889 | − | 8.34683i | 0.813575 | − | 0.264347i | 0.127464 | − | 0.991843i | \(-0.459316\pi\) |
0.686111 | + | 0.727497i | \(0.259316\pi\) | |||||||
\(998\) | 2.38772 | + | 6.22430i | 0.0755819 | + | 0.197027i | ||||
\(999\) | 25.6303 | − | 35.2771i | 0.810908 | − | 1.11612i |
(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 | 44.2.g.a.7.2 | ✓ | 16 | |
3.2 | odd | 2 | 396.2.r.a.271.3 | 16 | |||
4.3 | odd | 2 | inner | 44.2.g.a.7.4 | yes | 16 | |
8.3 | odd | 2 | 704.2.u.c.447.4 | 16 | |||
8.5 | even | 2 | 704.2.u.c.447.1 | 16 | |||
11.2 | odd | 10 | 484.2.g.j.215.3 | 16 | |||
11.3 | even | 5 | 484.2.g.i.239.1 | 16 | |||
11.4 | even | 5 | 484.2.g.j.475.4 | 16 | |||
11.5 | even | 5 | 484.2.c.d.483.12 | 16 | |||
11.6 | odd | 10 | 484.2.c.d.483.5 | 16 | |||
11.7 | odd | 10 | 484.2.g.f.475.1 | 16 | |||
11.8 | odd | 10 | inner | 44.2.g.a.19.4 | yes | 16 | |
11.9 | even | 5 | 484.2.g.f.215.2 | 16 | |||
11.10 | odd | 2 | 484.2.g.i.403.3 | 16 | |||
12.11 | even | 2 | 396.2.r.a.271.1 | 16 | |||
33.8 | even | 10 | 396.2.r.a.19.1 | 16 | |||
44.3 | odd | 10 | 484.2.g.i.239.3 | 16 | |||
44.7 | even | 10 | 484.2.g.f.475.2 | 16 | |||
44.15 | odd | 10 | 484.2.g.j.475.3 | 16 | |||
44.19 | even | 10 | inner | 44.2.g.a.19.2 | yes | 16 | |
44.27 | odd | 10 | 484.2.c.d.483.6 | 16 | |||
44.31 | odd | 10 | 484.2.g.f.215.1 | 16 | |||
44.35 | even | 10 | 484.2.g.j.215.4 | 16 | |||
44.39 | even | 10 | 484.2.c.d.483.11 | 16 | |||
44.43 | even | 2 | 484.2.g.i.403.1 | 16 | |||
88.19 | even | 10 | 704.2.u.c.63.1 | 16 | |||
88.85 | odd | 10 | 704.2.u.c.63.4 | 16 | |||
132.107 | odd | 10 | 396.2.r.a.19.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
44.2.g.a.7.2 | ✓ | 16 | 1.1 | even | 1 | trivial | |
44.2.g.a.7.4 | yes | 16 | 4.3 | odd | 2 | inner | |
44.2.g.a.19.2 | yes | 16 | 44.19 | even | 10 | inner | |
44.2.g.a.19.4 | yes | 16 | 11.8 | odd | 10 | inner | |
396.2.r.a.19.1 | 16 | 33.8 | even | 10 | |||
396.2.r.a.19.3 | 16 | 132.107 | odd | 10 | |||
396.2.r.a.271.1 | 16 | 12.11 | even | 2 | |||
396.2.r.a.271.3 | 16 | 3.2 | odd | 2 | |||
484.2.c.d.483.5 | 16 | 11.6 | odd | 10 | |||
484.2.c.d.483.6 | 16 | 44.27 | odd | 10 | |||
484.2.c.d.483.11 | 16 | 44.39 | even | 10 | |||
484.2.c.d.483.12 | 16 | 11.5 | even | 5 | |||
484.2.g.f.215.1 | 16 | 44.31 | odd | 10 | |||
484.2.g.f.215.2 | 16 | 11.9 | even | 5 | |||
484.2.g.f.475.1 | 16 | 11.7 | odd | 10 | |||
484.2.g.f.475.2 | 16 | 44.7 | even | 10 | |||
484.2.g.i.239.1 | 16 | 11.3 | even | 5 | |||
484.2.g.i.239.3 | 16 | 44.3 | odd | 10 | |||
484.2.g.i.403.1 | 16 | 44.43 | even | 2 | |||
484.2.g.i.403.3 | 16 | 11.10 | odd | 2 | |||
484.2.g.j.215.3 | 16 | 11.2 | odd | 10 | |||
484.2.g.j.215.4 | 16 | 44.35 | even | 10 | |||
484.2.g.j.475.3 | 16 | 44.15 | odd | 10 | |||
484.2.g.j.475.4 | 16 | 11.4 | even | 5 | |||
704.2.u.c.63.1 | 16 | 88.19 | even | 10 | |||
704.2.u.c.63.4 | 16 | 88.85 | odd | 10 | |||
704.2.u.c.447.1 | 16 | 8.5 | even | 2 | |||
704.2.u.c.447.4 | 16 | 8.3 | odd | 2 |