Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(13,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([27, 11]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.bd (of order \(36\), degree \(12\), 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: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 187.6 | ||
Character | \(\chi\) | \(=\) | 370.187 |
Dual form | 370.2.bd.b.93.6 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{1}{36}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.642788 | − | 0.766044i | −0.454519 | − | 0.541675i | ||||
\(3\) | 0.0781385 | + | 0.893127i | 0.0451133 | + | 0.515647i | 0.984810 | + | 0.173637i | \(0.0555521\pi\) |
−0.939696 | + | 0.342010i | \(0.888892\pi\) | |||||||
\(4\) | −0.173648 | + | 0.984808i | −0.0868241 | + | 0.492404i | ||||
\(5\) | −2.23004 | + | 0.164075i | −0.997304 | + | 0.0733767i | ||||
\(6\) | 0.633949 | − | 0.633949i | 0.258809 | − | 0.258809i | ||||
\(7\) | −2.49907 | − | 1.16533i | −0.944558 | − | 0.440455i | −0.111577 | − | 0.993756i | \(-0.535590\pi\) |
−0.832981 | + | 0.553301i | \(0.813368\pi\) | |||||||
\(8\) | 0.866025 | − | 0.500000i | 0.306186 | − | 0.176777i | ||||
\(9\) | 2.16285 | − | 0.381369i | 0.720951 | − | 0.127123i | ||||
\(10\) | 1.55913 | + | 1.60284i | 0.493041 | + | 0.506864i | ||||
\(11\) | 3.77551 | − | 2.17979i | 1.13836 | − | 0.657232i | 0.192336 | − | 0.981329i | \(-0.438394\pi\) |
0.946024 | + | 0.324097i | \(0.105060\pi\) | |||||||
\(12\) | −0.893127 | − | 0.0781385i | −0.257824 | − | 0.0225566i | ||||
\(13\) | −1.21178 | − | 0.213670i | −0.336089 | − | 0.0592615i | 0.00305715 | − | 0.999995i | \(-0.499027\pi\) |
−0.339146 | + | 0.940734i | \(0.610138\pi\) | |||||||
\(14\) | 0.713671 | + | 2.66346i | 0.190737 | + | 0.711839i | ||||
\(15\) | −0.320792 | − | 1.97889i | −0.0828282 | − | 0.510947i | ||||
\(16\) | −0.939693 | − | 0.342020i | −0.234923 | − | 0.0855050i | ||||
\(17\) | −1.14518 | − | 6.49466i | −0.277748 | − | 1.57519i | −0.730096 | − | 0.683345i | \(-0.760525\pi\) |
0.452348 | − | 0.891842i | \(-0.350587\pi\) | |||||||
\(18\) | −1.68240 | − | 1.41170i | −0.396546 | − | 0.332741i | ||||
\(19\) | −0.510396 | − | 5.83386i | −0.117093 | − | 1.33838i | −0.796510 | − | 0.604626i | \(-0.793323\pi\) |
0.679417 | − | 0.733753i | \(-0.262233\pi\) | |||||||
\(20\) | 0.225660 | − | 2.22465i | 0.0504591 | − | 0.497447i | ||||
\(21\) | 0.845518 | − | 2.32304i | 0.184507 | − | 0.506929i | ||||
\(22\) | −4.09667 | − | 1.49107i | −0.873413 | − | 0.317896i | ||||
\(23\) | 5.04016 | + | 2.90994i | 1.05095 | + | 0.606765i | 0.922914 | − | 0.385005i | \(-0.125800\pi\) |
0.128033 | + | 0.991770i | \(0.459134\pi\) | |||||||
\(24\) | 0.514234 | + | 0.734402i | 0.104968 | + | 0.149909i | ||||
\(25\) | 4.94616 | − | 0.731789i | 0.989232 | − | 0.146358i | ||||
\(26\) | 0.615239 | + | 1.06563i | 0.120658 | + | 0.208986i | ||||
\(27\) | 1.20574 | + | 4.49987i | 0.232044 | + | 0.866001i | ||||
\(28\) | 1.58159 | − | 2.25874i | 0.298892 | − | 0.426862i | ||||
\(29\) | 2.28762 | + | 0.612966i | 0.424800 | + | 0.113825i | 0.464884 | − | 0.885371i | \(-0.346096\pi\) |
−0.0400841 | + | 0.999196i | \(0.512763\pi\) | |||||||
\(30\) | −1.30972 | + | 1.51775i | −0.239120 | + | 0.277101i | ||||
\(31\) | −2.21564 | − | 2.21564i | −0.397940 | − | 0.397940i | 0.479566 | − | 0.877506i | \(-0.340794\pi\) |
−0.877506 | + | 0.479566i | \(0.840794\pi\) | |||||||
\(32\) | 0.342020 | + | 0.939693i | 0.0604612 | + | 0.166116i | ||||
\(33\) | 2.24185 | + | 3.20169i | 0.390255 | + | 0.557342i | ||||
\(34\) | −4.23909 | + | 5.05195i | −0.726998 | + | 0.866402i | ||||
\(35\) | 5.76422 | + | 2.18871i | 0.974331 | + | 0.369959i | ||||
\(36\) | 2.19622i | 0.366036i | ||||||||
\(37\) | −1.47856 | − | 5.90033i | −0.243073 | − | 0.970008i | ||||
\(38\) | −4.14092 | + | 4.14092i | −0.671745 | + | 0.671745i | ||||
\(39\) | 0.0961478 | − | 1.09897i | 0.0153960 | − | 0.175977i | ||||
\(40\) | −1.84923 | + | 1.25711i | −0.292390 | + | 0.198767i | ||||
\(41\) | −6.65027 | − | 1.17262i | −1.03860 | − | 0.183133i | −0.371755 | − | 0.928331i | \(-0.621244\pi\) |
−0.666843 | + | 0.745198i | \(0.732355\pi\) | |||||||
\(42\) | −2.32304 | + | 0.845518i | −0.358453 | + | 0.130466i | ||||
\(43\) | − | 5.81222i | − | 0.886355i | −0.896434 | − | 0.443177i | \(-0.853851\pi\) | ||
0.896434 | − | 0.443177i | \(-0.146149\pi\) | |||||||
\(44\) | 1.49107 | + | 4.09667i | 0.224787 | + | 0.617596i | ||||
\(45\) | −4.76067 | + | 1.20534i | −0.709679 | + | 0.179681i | ||||
\(46\) | −1.01061 | − | 5.73146i | −0.149007 | − | 0.845058i | ||||
\(47\) | −7.97390 | + | 2.13660i | −1.16311 | + | 0.311655i | −0.788208 | − | 0.615409i | \(-0.788991\pi\) |
−0.374904 | + | 0.927064i | \(0.622324\pi\) | |||||||
\(48\) | 0.232041 | − | 0.865990i | 0.0334923 | − | 0.124995i | ||||
\(49\) | 0.387813 | + | 0.462178i | 0.0554019 | + | 0.0660254i | ||||
\(50\) | −3.73991 | − | 3.31859i | −0.528903 | − | 0.469320i | ||||
\(51\) | 5.71108 | − | 1.53028i | 0.799711 | − | 0.214282i | ||||
\(52\) | 0.420848 | − | 1.15627i | 0.0583612 | − | 0.160346i | ||||
\(53\) | 0.992416 | − | 0.462771i | 0.136319 | − | 0.0635665i | −0.353262 | − | 0.935524i | \(-0.614928\pi\) |
0.489581 | + | 0.871958i | \(0.337150\pi\) | |||||||
\(54\) | 2.67207 | − | 3.81611i | 0.363623 | − | 0.519307i | ||||
\(55\) | −8.06189 | + | 5.48049i | −1.08707 | + | 0.738989i | ||||
\(56\) | −2.74692 | + | 0.240324i | −0.367073 | + | 0.0321147i | ||||
\(57\) | 5.17050 | − | 0.911698i | 0.684849 | − | 0.120757i | ||||
\(58\) | −1.00089 | − | 2.14642i | −0.131424 | − | 0.281839i | ||||
\(59\) | 4.09325 | + | 8.77800i | 0.532895 | + | 1.14280i | 0.969937 | + | 0.243357i | \(0.0782485\pi\) |
−0.437041 | + | 0.899441i | \(0.643974\pi\) | |||||||
\(60\) | 2.00453 | + | 0.0277120i | 0.258784 | + | 0.00357760i | ||||
\(61\) | 6.70371 | − | 4.69398i | 0.858321 | − | 0.601003i | −0.0593971 | − | 0.998234i | \(-0.518918\pi\) |
0.917719 | + | 0.397231i | \(0.130029\pi\) | |||||||
\(62\) | −0.273092 | + | 3.12146i | −0.0346828 | + | 0.396426i | ||||
\(63\) | −5.84953 | − | 1.56738i | −0.736972 | − | 0.197471i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | 2.73739 | + | 0.277670i | 0.339531 | + | 0.0344407i | ||||
\(66\) | 1.01160 | − | 3.77536i | 0.124520 | − | 0.464714i | ||||
\(67\) | −5.89629 | + | 12.6446i | −0.720346 | + | 1.54479i | 0.113960 | + | 0.993485i | \(0.463646\pi\) |
−0.834306 | + | 0.551302i | \(0.814131\pi\) | |||||||
\(68\) | 6.59485 | 0.799743 | ||||||||
\(69\) | −2.20512 | + | 4.72889i | −0.265465 | + | 0.569291i | ||||
\(70\) | −2.02852 | − | 5.82252i | −0.242455 | − | 0.695924i | ||||
\(71\) | 6.23397 | + | 5.23092i | 0.739836 | + | 0.620796i | 0.932794 | − | 0.360411i | \(-0.117364\pi\) |
−0.192957 | + | 0.981207i | \(0.561808\pi\) | |||||||
\(72\) | 1.68240 | − | 1.41170i | 0.198273 | − | 0.166371i | ||||
\(73\) | −5.63833 | − | 5.63833i | −0.659916 | − | 0.659916i | 0.295444 | − | 0.955360i | \(-0.404532\pi\) |
−0.955360 | + | 0.295444i | \(0.904532\pi\) | |||||||
\(74\) | −3.56951 | + | 4.92530i | −0.414948 | + | 0.572554i | ||||
\(75\) | 1.04007 | + | 4.36037i | 0.120096 | + | 0.503492i | ||||
\(76\) | 5.83386 | + | 0.510396i | 0.669189 | + | 0.0585465i | ||||
\(77\) | −11.9754 | + | 1.04771i | −1.36473 | + | 0.119398i | ||||
\(78\) | −0.903666 | + | 0.632753i | −0.102320 | + | 0.0716452i | ||||
\(79\) | −5.99795 | − | 2.79689i | −0.674823 | − | 0.314675i | 0.0548273 | − | 0.998496i | \(-0.482539\pi\) |
−0.729650 | + | 0.683821i | \(0.760317\pi\) | |||||||
\(80\) | 2.15167 | + | 0.608538i | 0.240564 | + | 0.0680367i | ||||
\(81\) | 2.26656 | − | 0.824961i | 0.251840 | − | 0.0916624i | ||||
\(82\) | 3.37643 | + | 5.84815i | 0.372865 | + | 0.645820i | ||||
\(83\) | 4.85299 | + | 3.39810i | 0.532685 | + | 0.372990i | 0.808753 | − | 0.588148i | \(-0.200143\pi\) |
−0.276068 | + | 0.961138i | \(0.589032\pi\) | |||||||
\(84\) | 2.14093 | + | 1.23606i | 0.233594 | + | 0.134866i | ||||
\(85\) | 3.61942 | + | 14.2955i | 0.392581 | + | 1.55056i | ||||
\(86\) | −4.45242 | + | 3.73602i | −0.480116 | + | 0.402865i | ||||
\(87\) | −0.368705 | + | 2.09103i | −0.0395294 | + | 0.224182i | ||||
\(88\) | 2.17979 | − | 3.77551i | 0.232367 | − | 0.402471i | ||||
\(89\) | 3.50175 | − | 1.63289i | 0.371184 | − | 0.173086i | −0.228070 | − | 0.973645i | \(-0.573242\pi\) |
0.599254 | + | 0.800559i | \(0.295464\pi\) | |||||||
\(90\) | 3.98345 | + | 2.87211i | 0.419892 | + | 0.302747i | ||||
\(91\) | 2.77933 | + | 1.94611i | 0.291353 | + | 0.204008i | ||||
\(92\) | −3.74095 | + | 4.45829i | −0.390021 | + | 0.464809i | ||||
\(93\) | 1.80572 | − | 2.15197i | 0.187244 | − | 0.223149i | ||||
\(94\) | 6.76225 | + | 4.73498i | 0.697473 | + | 0.488376i | ||||
\(95\) | 2.09540 | + | 12.9260i | 0.214983 | + | 1.32618i | ||||
\(96\) | −0.812540 | + | 0.378894i | −0.0829295 | + | 0.0386707i | ||||
\(97\) | 4.73655 | − | 8.20395i | 0.480924 | − | 0.832985i | −0.518836 | − | 0.854874i | \(-0.673635\pi\) |
0.999760 | + | 0.0218888i | \(0.00696797\pi\) | |||||||
\(98\) | 0.104767 | − | 0.594164i | 0.0105831 | − | 0.0600197i | ||||
\(99\) | 7.33457 | − | 6.15443i | 0.737152 | − | 0.618544i | ||||
\(100\) | −0.138220 | + | 4.99809i | −0.0138220 | + | 0.499809i | ||||
\(101\) | 15.0645 | + | 8.69749i | 1.49897 | + | 0.865433i | 0.999999 | − | 0.00118409i | \(-0.000376906\pi\) |
0.498974 | + | 0.866617i | \(0.333710\pi\) | |||||||
\(102\) | −4.84327 | − | 3.39129i | −0.479555 | − | 0.335788i | ||||
\(103\) | −4.48636 | − | 7.77060i | −0.442054 | − | 0.765660i | 0.555788 | − | 0.831324i | \(-0.312417\pi\) |
−0.997842 | + | 0.0656642i | \(0.979083\pi\) | |||||||
\(104\) | −1.15627 | + | 0.420848i | −0.113382 | + | 0.0412676i | ||||
\(105\) | −1.50439 | + | 5.31920i | −0.146813 | + | 0.519101i | ||||
\(106\) | −0.992416 | − | 0.462771i | −0.0963920 | − | 0.0449483i | ||||
\(107\) | 11.9735 | − | 8.38394i | 1.15752 | − | 0.810506i | 0.172855 | − | 0.984947i | \(-0.444701\pi\) |
0.984668 | + | 0.174441i | \(0.0558119\pi\) | |||||||
\(108\) | −4.64088 | + | 0.406025i | −0.446569 | + | 0.0390698i | ||||
\(109\) | −15.1074 | − | 1.32173i | −1.44703 | − | 0.126599i | −0.663604 | − | 0.748084i | \(-0.730974\pi\) |
−0.783426 | + | 0.621485i | \(0.786530\pi\) | |||||||
\(110\) | 9.38038 | + | 2.65297i | 0.894385 | + | 0.252951i | ||||
\(111\) | 5.15421 | − | 1.78158i | 0.489216 | − | 0.169100i | ||||
\(112\) | 1.94979 | + | 1.94979i | 0.184237 | + | 0.184237i | ||||
\(113\) | −2.89227 | + | 2.42691i | −0.272082 | + | 0.228304i | −0.768611 | − | 0.639716i | \(-0.779052\pi\) |
0.496529 | + | 0.868020i | \(0.334608\pi\) | |||||||
\(114\) | −4.02193 | − | 3.37480i | −0.376688 | − | 0.316079i | ||||
\(115\) | −11.7172 | − | 5.66232i | −1.09264 | − | 0.528014i | ||||
\(116\) | −1.00089 | + | 2.14642i | −0.0929307 | + | 0.199291i | ||||
\(117\) | −2.70240 | −0.249837 | ||||||||
\(118\) | 4.09325 | − | 8.77800i | 0.376814 | − | 0.808080i | ||||
\(119\) | −4.70656 | + | 17.5651i | −0.431449 | + | 1.61019i | ||||
\(120\) | −1.26726 | − | 1.55337i | −0.115684 | − | 0.141803i | ||||
\(121\) | 4.00299 | − | 6.93338i | 0.363908 | − | 0.630307i | ||||
\(122\) | −7.90486 | − | 2.11810i | −0.715672 | − | 0.191764i | ||||
\(123\) | 0.527659 | − | 6.03117i | 0.0475774 | − | 0.543812i | ||||
\(124\) | 2.56672 | − | 1.79723i | 0.230498 | − | 0.161396i | ||||
\(125\) | −10.9101 | + | 2.44346i | −0.975826 | + | 0.218550i | ||||
\(126\) | 2.55933 | + | 5.48849i | 0.228003 | + | 0.488954i | ||||
\(127\) | 4.98428 | + | 10.6888i | 0.442283 | + | 0.948479i | 0.993470 | + | 0.114097i | \(0.0363976\pi\) |
−0.551186 | + | 0.834382i | \(0.685825\pi\) | |||||||
\(128\) | −0.984808 | + | 0.173648i | −0.0870455 | + | 0.0153485i | ||||
\(129\) | 5.19105 | − | 0.454158i | 0.457046 | − | 0.0399864i | ||||
\(130\) | −1.54685 | − | 2.27544i | −0.135668 | − | 0.199570i | ||||
\(131\) | 1.09340 | − | 1.56154i | 0.0955307 | − | 0.136432i | −0.768541 | − | 0.639800i | \(-0.779017\pi\) |
0.864072 | + | 0.503368i | \(0.167906\pi\) | |||||||
\(132\) | −3.54234 | + | 1.65182i | −0.308321 | + | 0.143772i | ||||
\(133\) | −5.52287 | + | 15.1740i | −0.478894 | + | 1.31575i | ||||
\(134\) | 13.4764 | − | 3.61099i | 1.16418 | − | 0.311942i | ||||
\(135\) | −3.42716 | − | 9.83707i | −0.294963 | − | 0.846640i | ||||
\(136\) | −4.23909 | − | 5.05195i | −0.363499 | − | 0.433201i | ||||
\(137\) | 1.15404 | − | 4.30695i | 0.0985967 | − | 0.367968i | −0.898943 | − | 0.438065i | \(-0.855664\pi\) |
0.997540 | + | 0.0700967i | \(0.0223308\pi\) | |||||||
\(138\) | 5.03996 | − | 1.35045i | 0.429030 | − | 0.114958i | ||||
\(139\) | 1.85852 | + | 10.5402i | 0.157638 | + | 0.894009i | 0.956334 | + | 0.292275i | \(0.0944121\pi\) |
−0.798697 | + | 0.601734i | \(0.794477\pi\) | |||||||
\(140\) | −3.15640 | + | 5.29658i | −0.266765 | + | 0.447643i | ||||
\(141\) | −2.53132 | − | 6.95475i | −0.213176 | − | 0.585696i | ||||
\(142\) | − | 8.13787i | − | 0.682915i | ||||||
\(143\) | −5.04086 | + | 1.83472i | −0.421538 | + | 0.153427i | ||||
\(144\) | −2.16285 | − | 0.381369i | −0.180238 | − | 0.0317808i | ||||
\(145\) | −5.20206 | − | 0.991597i | −0.432007 | − | 0.0823476i | ||||
\(146\) | −0.694962 | + | 7.94345i | −0.0575155 | + | 0.657405i | ||||
\(147\) | −0.382481 | + | 0.382481i | −0.0315465 | + | 0.0315465i | ||||
\(148\) | 6.06744 | − | 0.431514i | 0.498740 | − | 0.0354702i | ||||
\(149\) | − | 22.7035i | − | 1.85994i | −0.367629 | − | 0.929972i | \(-0.619830\pi\) | ||
0.367629 | − | 0.929972i | \(-0.380170\pi\) | |||||||
\(150\) | 2.67169 | − | 3.59953i | 0.218143 | − | 0.293900i | ||||
\(151\) | −6.28599 | + | 7.49135i | −0.511547 | + | 0.609638i | −0.958560 | − | 0.284890i | \(-0.908043\pi\) |
0.447014 | + | 0.894527i | \(0.352488\pi\) | |||||||
\(152\) | −3.35894 | − | 4.79707i | −0.272446 | − | 0.389094i | ||||
\(153\) | −4.95373 | − | 13.6103i | −0.400485 | − | 1.10032i | ||||
\(154\) | 8.50026 | + | 8.50026i | 0.684970 | + | 0.684970i | ||||
\(155\) | 5.30449 | + | 4.57743i | 0.426067 | + | 0.367668i | ||||
\(156\) | 1.06558 | + | 0.285522i | 0.0853149 | + | 0.0228600i | ||||
\(157\) | −1.27833 | + | 1.82565i | −0.102022 | + | 0.145703i | −0.866917 | − | 0.498452i | \(-0.833902\pi\) |
0.764895 | + | 0.644155i | \(0.222791\pi\) | |||||||
\(158\) | 1.71287 | + | 6.39251i | 0.136268 | + | 0.508561i | ||||
\(159\) | 0.490860 | + | 0.850194i | 0.0389277 | + | 0.0674248i | ||||
\(160\) | −0.916899 | − | 2.03944i | −0.0724872 | − | 0.161232i | ||||
\(161\) | −9.20465 | − | 13.1456i | −0.725428 | − | 1.03602i | ||||
\(162\) | −2.08888 | − | 1.20601i | −0.164118 | − | 0.0947533i | ||||
\(163\) | 18.4163 | + | 6.70298i | 1.44248 | + | 0.525018i | 0.940479 | − | 0.339851i | \(-0.110377\pi\) |
0.501997 | + | 0.864870i | \(0.332599\pi\) | |||||||
\(164\) | 2.30962 | − | 6.34562i | 0.180351 | − | 0.495509i | ||||
\(165\) | −5.52472 | − | 6.77206i | −0.430099 | − | 0.527204i | ||||
\(166\) | −0.516346 | − | 5.90186i | −0.0400762 | − | 0.458073i | ||||
\(167\) | 11.1587 | + | 9.36325i | 0.863485 | + | 0.724550i | 0.962716 | − | 0.270515i | \(-0.0871938\pi\) |
−0.0992309 | + | 0.995064i | \(0.531638\pi\) | |||||||
\(168\) | −0.429281 | − | 2.43457i | −0.0331197 | − | 0.187831i | ||||
\(169\) | −10.7932 | − | 3.92842i | −0.830249 | − | 0.302186i | ||||
\(170\) | 8.62444 | − | 11.9616i | 0.661464 | − | 0.917411i | ||||
\(171\) | −3.32877 | − | 12.4231i | −0.254557 | − | 0.950020i | ||||
\(172\) | 5.72391 | + | 1.00928i | 0.436444 | + | 0.0769569i | ||||
\(173\) | −9.31799 | − | 0.815218i | −0.708434 | − | 0.0619799i | −0.272757 | − | 0.962083i | \(-0.587935\pi\) |
−0.435677 | + | 0.900103i | \(0.643491\pi\) | |||||||
\(174\) | 1.83882 | − | 1.06164i | 0.139401 | − | 0.0804831i | ||||
\(175\) | −13.2136 | − | 3.93514i | −0.998851 | − | 0.297468i | ||||
\(176\) | −4.29335 | + | 0.757034i | −0.323624 | + | 0.0570636i | ||||
\(177\) | −7.52003 | + | 4.34169i | −0.565240 | + | 0.326342i | ||||
\(178\) | −3.50175 | − | 1.63289i | −0.262467 | − | 0.122390i | ||||
\(179\) | 4.46188 | − | 4.46188i | 0.333496 | − | 0.333496i | −0.520416 | − | 0.853913i | \(-0.674223\pi\) |
0.853913 | + | 0.520416i | \(0.174223\pi\) | |||||||
\(180\) | −0.360345 | − | 4.89765i | −0.0268585 | − | 0.365050i | ||||
\(181\) | 0.124901 | − | 0.708346i | 0.00928378 | − | 0.0526509i | −0.979814 | − | 0.199912i | \(-0.935935\pi\) |
0.989098 | + | 0.147261i | \(0.0470456\pi\) | |||||||
\(182\) | −0.295714 | − | 3.38003i | −0.0219198 | − | 0.250544i | ||||
\(183\) | 4.71614 | + | 5.62048i | 0.348627 | + | 0.415478i | ||||
\(184\) | 5.81988 | 0.429047 | ||||||||
\(185\) | 4.26534 | + | 12.9154i | 0.313594 | + | 0.949557i | ||||
\(186\) | −2.80920 | −0.205981 | ||||||||
\(187\) | −18.4807 | − | 22.0244i | −1.35144 | − | 1.61058i | ||||
\(188\) | −0.719487 | − | 8.22377i | −0.0524740 | − | 0.599780i | ||||
\(189\) | 2.23064 | − | 12.6506i | 0.162255 | − | 0.920193i | ||||
\(190\) | 8.55499 | − | 9.91383i | 0.620644 | − | 0.719225i | ||||
\(191\) | −3.95284 | + | 3.95284i | −0.286017 | + | 0.286017i | −0.835503 | − | 0.549486i | \(-0.814824\pi\) |
0.549486 | + | 0.835503i | \(0.314824\pi\) | |||||||
\(192\) | 0.812540 | + | 0.378894i | 0.0586400 | + | 0.0273443i | ||||
\(193\) | −2.40374 | + | 1.38780i | −0.173025 | + | 0.0998961i | −0.584012 | − | 0.811745i | \(-0.698518\pi\) |
0.410986 | + | 0.911642i | \(0.365184\pi\) | |||||||
\(194\) | −9.32919 | + | 1.64499i | −0.669796 | + | 0.118103i | ||||
\(195\) | −0.0340990 | + | 2.46653i | −0.00244188 | + | 0.176632i | ||||
\(196\) | −0.522499 | + | 0.301665i | −0.0373214 | + | 0.0215475i | ||||
\(197\) | 3.55111 | + | 0.310682i | 0.253006 | + | 0.0221352i | 0.212953 | − | 0.977062i | \(-0.431692\pi\) |
0.0400528 | + | 0.999198i | \(0.487247\pi\) | |||||||
\(198\) | −9.42914 | − | 1.66261i | −0.670100 | − | 0.118157i | ||||
\(199\) | −4.08134 | − | 15.2318i | −0.289319 | − | 1.07975i | −0.945625 | − | 0.325258i | \(-0.894549\pi\) |
0.656307 | − | 0.754494i | \(-0.272118\pi\) | |||||||
\(200\) | 3.91760 | − | 3.10683i | 0.277016 | − | 0.219686i | ||||
\(201\) | −11.7540 | − | 4.27810i | −0.829063 | − | 0.301754i | ||||
\(202\) | −3.02061 | − | 17.1307i | −0.212529 | − | 1.20531i | ||||
\(203\) | −5.00260 | − | 4.19768i | −0.351114 | − | 0.294619i | ||||
\(204\) | 0.515312 | + | 5.89004i | 0.0360791 | + | 0.412385i | ||||
\(205\) | 15.0228 | + | 1.52385i | 1.04924 | + | 0.106430i | ||||
\(206\) | −3.06885 | + | 8.43160i | −0.213817 | + | 0.587457i | ||||
\(207\) | 12.0109 | + | 4.37161i | 0.834815 | + | 0.303848i | ||||
\(208\) | 1.06563 | + | 0.615239i | 0.0738878 | + | 0.0426592i | ||||
\(209\) | −14.6436 | − | 20.9132i | −1.01292 | − | 1.44660i | ||||
\(210\) | 5.04175 | − | 2.26669i | 0.347914 | − | 0.156417i | ||||
\(211\) | 13.6468 | + | 23.6370i | 0.939485 | + | 1.62724i | 0.766434 | + | 0.642323i | \(0.222029\pi\) |
0.173050 | + | 0.984913i | \(0.444638\pi\) | |||||||
\(212\) | 0.283409 | + | 1.05770i | 0.0194646 | + | 0.0726430i | ||||
\(213\) | −4.18477 | + | 5.97647i | −0.286736 | + | 0.409501i | ||||
\(214\) | −14.1189 | − | 3.78315i | −0.965148 | − | 0.258611i | ||||
\(215\) | 0.953640 | + | 12.9615i | 0.0650377 | + | 0.883965i | ||||
\(216\) | 3.29414 | + | 3.29414i | 0.224138 | + | 0.224138i | ||||
\(217\) | 2.95507 | + | 8.11898i | 0.200603 | + | 0.551152i | ||||
\(218\) | 8.69837 | + | 12.4226i | 0.589128 | + | 0.841362i | ||||
\(219\) | 4.59517 | − | 5.47631i | 0.310513 | − | 0.370055i | ||||
\(220\) | −3.99730 | − | 8.89109i | −0.269498 | − | 0.599437i | ||||
\(221\) | 8.11482i | 0.545862i | ||||||||
\(222\) | −4.67784 | − | 2.80318i | −0.313956 | − | 0.188137i | ||||
\(223\) | 2.30897 | − | 2.30897i | 0.154620 | − | 0.154620i | −0.625558 | − | 0.780178i | \(-0.715129\pi\) |
0.780178 | + | 0.625558i | \(0.215129\pi\) | |||||||
\(224\) | 0.240324 | − | 2.74692i | 0.0160574 | − | 0.183536i | ||||
\(225\) | 10.4187 | − | 3.46906i | 0.694582 | − | 0.231271i | ||||
\(226\) | 3.71824 | + | 0.655625i | 0.247333 | + | 0.0436115i | ||||
\(227\) | −6.28808 | + | 2.28867i | −0.417355 | + | 0.151905i | −0.542157 | − | 0.840277i | \(-0.682392\pi\) |
0.124803 | + | 0.992182i | \(0.460170\pi\) | |||||||
\(228\) | 5.25026i | 0.347707i | ||||||||
\(229\) | 5.05155 | + | 13.8790i | 0.333816 | + | 0.917152i | 0.987109 | + | 0.160047i | \(0.0511647\pi\) |
−0.653293 | + | 0.757105i | \(0.726613\pi\) | |||||||
\(230\) | 3.19410 | + | 12.6156i | 0.210612 | + | 0.831847i | ||||
\(231\) | −1.87149 | − | 10.6137i | −0.123135 | − | 0.698332i | ||||
\(232\) | 2.28762 | − | 0.612966i | 0.150190 | − | 0.0402432i | ||||
\(233\) | 6.06432 | − | 22.6324i | 0.397287 | − | 1.48269i | −0.420563 | − | 0.907263i | \(-0.638167\pi\) |
0.817850 | − | 0.575432i | \(-0.195166\pi\) | |||||||
\(234\) | 1.73707 | + | 2.07016i | 0.113556 | + | 0.135330i | ||||
\(235\) | 17.4315 | − | 6.07302i | 1.13711 | − | 0.396160i | ||||
\(236\) | −9.35543 | + | 2.50678i | −0.608986 | + | 0.163177i | ||||
\(237\) | 2.02931 | − | 5.57548i | 0.131818 | − | 0.362167i | ||||
\(238\) | 16.4810 | − | 7.68520i | 1.06830 | − | 0.498158i | ||||
\(239\) | 0.897394 | − | 1.28161i | 0.0580476 | − | 0.0829006i | −0.789079 | − | 0.614292i | \(-0.789442\pi\) |
0.847126 | + | 0.531391i | \(0.178331\pi\) | |||||||
\(240\) | −0.375374 | + | 1.96927i | −0.0242303 | + | 0.127116i | ||||
\(241\) | −28.2696 | + | 2.47327i | −1.82101 | + | 0.159318i | −0.945868 | − | 0.324552i | \(-0.894787\pi\) |
−0.875140 | + | 0.483869i | \(0.839231\pi\) | |||||||
\(242\) | −7.88435 | + | 1.39022i | −0.506825 | + | 0.0893669i | ||||
\(243\) | 6.82035 | + | 14.6263i | 0.437525 | + | 0.938276i | ||||
\(244\) | 3.45859 | + | 7.41696i | 0.221413 | + | 0.474822i | ||||
\(245\) | −0.940671 | − | 0.967045i | −0.0600973 | − | 0.0617822i | ||||
\(246\) | −4.95932 | + | 3.47255i | −0.316194 | + | 0.221402i | ||||
\(247\) | −0.628032 | + | 7.17844i | −0.0399607 | + | 0.456753i | ||||
\(248\) | −3.02662 | − | 0.810979i | −0.192190 | − | 0.0514972i | ||||
\(249\) | −2.65573 | + | 4.59986i | −0.168300 | + | 0.291504i | ||||
\(250\) | 8.88465 | + | 6.78697i | 0.561915 | + | 0.429246i | ||||
\(251\) | −0.0953549 | + | 0.355869i | −0.00601875 | + | 0.0224623i | −0.968870 | − | 0.247570i | \(-0.920368\pi\) |
0.962851 | + | 0.270033i | \(0.0870345\pi\) | |||||||
\(252\) | 2.55933 | − | 5.48849i | 0.161222 | − | 0.345742i | ||||
\(253\) | 25.3723 | 1.59514 | ||||||||
\(254\) | 4.98428 | − | 10.6888i | 0.312741 | − | 0.670676i | ||||
\(255\) | −12.4848 | + | 4.34963i | −0.781832 | + | 0.272384i | ||||
\(256\) | 0.766044 | + | 0.642788i | 0.0478778 | + | 0.0401742i | ||||
\(257\) | 2.06913 | − | 1.73621i | 0.129069 | − | 0.108302i | −0.575968 | − | 0.817472i | \(-0.695375\pi\) |
0.705037 | + | 0.709171i | \(0.250930\pi\) | |||||||
\(258\) | −3.68465 | − | 3.68465i | −0.229396 | − | 0.229396i | ||||
\(259\) | −3.18084 | + | 16.4683i | −0.197648 | + | 1.02329i | ||||
\(260\) | −0.748793 | + | 2.64758i | −0.0464382 | + | 0.164196i | ||||
\(261\) | 5.18155 | + | 0.453327i | 0.320730 | + | 0.0280602i | ||||
\(262\) | −1.89903 | + | 0.166143i | −0.117322 | + | 0.0102644i | ||||
\(263\) | −17.8417 | + | 12.4929i | −1.10016 | + | 0.770343i | −0.975091 | − | 0.221805i | \(-0.928805\pi\) |
−0.125072 | + | 0.992148i | \(0.539916\pi\) | |||||||
\(264\) | 3.54234 | + | 1.65182i | 0.218016 | + | 0.101662i | ||||
\(265\) | −2.13720 | + | 1.19483i | −0.131287 | + | 0.0733978i | ||||
\(266\) | 15.1740 | − | 5.52287i | 0.930376 | − | 0.338629i | ||||
\(267\) | 1.73200 | + | 2.99991i | 0.105997 | + | 0.183592i | ||||
\(268\) | −11.4286 | − | 8.00242i | −0.698116 | − | 0.488826i | ||||
\(269\) | 9.30701 | + | 5.37340i | 0.567458 | + | 0.327622i | 0.756134 | − | 0.654417i | \(-0.227086\pi\) |
−0.188675 | + | 0.982040i | \(0.560419\pi\) | |||||||
\(270\) | −5.33269 | + | 8.94850i | −0.324537 | + | 0.544589i | ||||
\(271\) | 15.2224 | − | 12.7731i | 0.924696 | − | 0.775912i | −0.0501618 | − | 0.998741i | \(-0.515974\pi\) |
0.974857 | + | 0.222829i | \(0.0715293\pi\) | |||||||
\(272\) | −1.14518 | + | 6.49466i | −0.0694370 | + | 0.393797i | ||||
\(273\) | −1.52095 | + | 2.63436i | −0.0920521 | + | 0.159439i | ||||
\(274\) | −4.04112 | + | 1.88441i | −0.244133 | + | 0.113841i | ||||
\(275\) | 17.0791 | − | 13.5445i | 1.02991 | − | 0.816763i | ||||
\(276\) | −4.27413 | − | 2.99278i | −0.257272 | − | 0.180144i | ||||
\(277\) | 12.1743 | − | 14.5088i | 0.731483 | − | 0.871747i | −0.264210 | − | 0.964465i | \(-0.585111\pi\) |
0.995692 | + | 0.0927182i | \(0.0295556\pi\) | |||||||
\(278\) | 6.87963 | − | 8.19882i | 0.412613 | − | 0.491733i | ||||
\(279\) | −5.63707 | − | 3.94712i | −0.337483 | − | 0.236308i | ||||
\(280\) | 6.08631 | − | 0.986635i | 0.363727 | − | 0.0589627i | ||||
\(281\) | −20.9494 | + | 9.76888i | −1.24974 | + | 0.582762i | −0.930979 | − | 0.365073i | \(-0.881044\pi\) |
−0.318759 | + | 0.947836i | \(0.603266\pi\) | |||||||
\(282\) | −3.70055 | + | 6.40954i | −0.220364 | + | 0.381682i | ||||
\(283\) | 3.13469 | − | 17.7777i | 0.186338 | − | 1.05677i | −0.737887 | − | 0.674924i | \(-0.764176\pi\) |
0.924225 | − | 0.381849i | \(-0.124713\pi\) | |||||||
\(284\) | −6.23397 | + | 5.23092i | −0.369918 | + | 0.310398i | ||||
\(285\) | −11.3808 | + | 2.88147i | −0.674142 | + | 0.170684i | ||||
\(286\) | 4.64568 | + | 2.68219i | 0.274705 | + | 0.158601i | ||||
\(287\) | 15.2530 | + | 10.6802i | 0.900354 | + | 0.630435i | ||||
\(288\) | 1.09811 | + | 1.90198i | 0.0647067 | + | 0.112075i | ||||
\(289\) | −24.8944 | + | 9.06082i | −1.46438 | + | 0.532989i | ||||
\(290\) | 2.58421 | + | 4.62239i | 0.151750 | + | 0.271436i | ||||
\(291\) | 7.69728 | + | 3.58930i | 0.451222 | + | 0.210408i | ||||
\(292\) | 6.53175 | − | 4.57358i | 0.382242 | − | 0.267649i | ||||
\(293\) | 5.21810 | − | 0.456524i | 0.304845 | − | 0.0266704i | 0.0662928 | − | 0.997800i | \(-0.478883\pi\) |
0.238552 | + | 0.971130i | \(0.423327\pi\) | |||||||
\(294\) | 0.538851 | + | 0.0471433i | 0.0314264 | + | 0.00274946i | ||||
\(295\) | −10.5684 | − | 18.9037i | −0.615314 | − | 1.10062i | ||||
\(296\) | −4.23063 | − | 4.37055i | −0.245901 | − | 0.254033i | ||||
\(297\) | 14.3611 | + | 14.3611i | 0.833313 | + | 0.833313i | ||||
\(298\) | −17.3919 | + | 14.5935i | −1.00749 | + | 0.845381i | ||||
\(299\) | −5.48583 | − | 4.60316i | −0.317254 | − | 0.266207i | ||||
\(300\) | −4.47473 | + | 0.267095i | −0.258349 | + | 0.0154207i | ||||
\(301\) | −6.77317 | + | 14.5251i | −0.390399 | + | 0.837213i | ||||
\(302\) | 9.77927 | 0.562733 | ||||||||
\(303\) | −6.59085 | + | 14.1341i | −0.378634 | + | 0.811984i | ||||
\(304\) | −1.51568 | + | 5.65660i | −0.0869303 | + | 0.324428i | ||||
\(305\) | −14.1794 | + | 11.5677i | −0.811908 | + | 0.662364i | ||||
\(306\) | −7.24186 | + | 12.5433i | −0.413990 | + | 0.717051i | ||||
\(307\) | 7.11848 | + | 1.90739i | 0.406273 | + | 0.108861i | 0.456167 | − | 0.889894i | \(-0.349222\pi\) |
−0.0498944 | + | 0.998754i | \(0.515888\pi\) | |||||||
\(308\) | 1.04771 | − | 11.9754i | 0.0596991 | − | 0.682364i | ||||
\(309\) | 6.58958 | − | 4.61407i | 0.374868 | − | 0.262485i | ||||
\(310\) | 0.0968527 | − | 7.00579i | 0.00550087 | − | 0.397902i | ||||
\(311\) | 3.10221 | + | 6.65271i | 0.175910 | + | 0.377241i | 0.974418 | − | 0.224744i | \(-0.0721546\pi\) |
−0.798508 | + | 0.601985i | \(0.794377\pi\) | |||||||
\(312\) | −0.466221 | − | 0.999813i | −0.0263945 | − | 0.0566033i | ||||
\(313\) | 26.5714 | − | 4.68525i | 1.50190 | − | 0.264826i | 0.638611 | − | 0.769530i | \(-0.279509\pi\) |
0.863293 | + | 0.504703i | \(0.168398\pi\) | |||||||
\(314\) | 2.22023 | − | 0.194245i | 0.125295 | − | 0.0109619i | ||||
\(315\) | 13.3019 | + | 2.53555i | 0.749475 | + | 0.142862i | ||||
\(316\) | 3.79594 | − | 5.42116i | 0.213538 | − | 0.304964i | ||||
\(317\) | 20.3602 | − | 9.49412i | 1.14354 | − | 0.533243i | 0.243870 | − | 0.969808i | \(-0.421583\pi\) |
0.899673 | + | 0.436565i | \(0.143805\pi\) | |||||||
\(318\) | 0.335768 | − | 0.922514i | 0.0188289 | − | 0.0517320i | ||||
\(319\) | 9.97307 | − | 2.67228i | 0.558385 | − | 0.149619i | ||||
\(320\) | −0.972927 | + | 2.01331i | −0.0543883 | + | 0.112547i | ||||
\(321\) | 8.42352 | + | 10.0388i | 0.470155 | + | 0.560309i | ||||
\(322\) | −4.15348 | + | 15.5010i | −0.231464 | + | 0.863837i | ||||
\(323\) | −37.3044 | + | 9.99569i | −2.07567 | + | 0.556175i | ||||
\(324\) | 0.418844 | + | 2.37538i | 0.0232691 | + | 0.131966i | ||||
\(325\) | −6.15004 | − | 0.170077i | −0.341143 | − | 0.00943418i | ||||
\(326\) | −6.70298 | − | 18.4163i | −0.371244 | − | 1.01998i | ||||
\(327\) | − | 13.5961i | − | 0.751869i | ||||||
\(328\) | −6.34562 | + | 2.30962i | −0.350378 | + | 0.127527i | ||||
\(329\) | 22.4171 | + | 3.95275i | 1.23590 | + | 0.217922i | ||||
\(330\) | −1.63647 | + | 8.58518i | −0.0900850 | + | 0.472598i | ||||
\(331\) | 0.400645 | − | 4.57939i | 0.0220214 | − | 0.251706i | −0.977202 | − | 0.212310i | \(-0.931901\pi\) |
0.999224 | − | 0.0393955i | \(-0.0125432\pi\) | |||||||
\(332\) | −4.18919 | + | 4.18919i | −0.229912 | + | 0.229912i | ||||
\(333\) | −5.44810 | − | 12.1977i | −0.298554 | − | 0.668428i | ||||
\(334\) | − | 14.5666i | − | 0.797050i | ||||||
\(335\) | 11.0743 | − | 29.1655i | 0.605053 | − | 1.59348i | ||||
\(336\) | −1.58905 | + | 1.89376i | −0.0866900 | + | 0.103313i | ||||
\(337\) | 19.6921 | + | 28.1233i | 1.07270 | + | 1.53197i | 0.826650 | + | 0.562716i | \(0.190244\pi\) |
0.246049 | + | 0.969257i | \(0.420867\pi\) | |||||||
\(338\) | 3.92842 | + | 10.7932i | 0.213678 | + | 0.587075i | ||||
\(339\) | −2.39353 | − | 2.39353i | −0.129999 | − | 0.129999i | ||||
\(340\) | −14.7068 | + | 1.08205i | −0.797587 | + | 0.0586825i | ||||
\(341\) | −13.1948 | − | 3.53553i | −0.714538 | − | 0.191460i | ||||
\(342\) | −7.37697 | + | 10.5354i | −0.398901 | + | 0.569690i | ||||
\(343\) | 4.56512 | + | 17.0373i | 0.246493 | + | 0.919925i | ||||
\(344\) | −2.90611 | − | 5.03353i | −0.156687 | − | 0.271390i | ||||
\(345\) | 4.14161 | − | 10.9074i | 0.222977 | − | 0.587235i | ||||
\(346\) | 5.36499 | + | 7.66201i | 0.288424 | + | 0.411912i | ||||
\(347\) | 5.63094 | + | 3.25102i | 0.302285 | + | 0.174524i | 0.643469 | − | 0.765472i | \(-0.277495\pi\) |
−0.341184 | + | 0.939996i | \(0.610828\pi\) | |||||||
\(348\) | −1.99524 | − | 0.726208i | −0.106956 | − | 0.0389288i | ||||
\(349\) | 10.4697 | − | 28.7654i | 0.560432 | − | 1.53977i | −0.258575 | − | 0.965991i | \(-0.583253\pi\) |
0.819007 | − | 0.573783i | \(-0.194525\pi\) | |||||||
\(350\) | 5.47902 | + | 12.6516i | 0.292866 | + | 0.676258i | ||||
\(351\) | −0.499605 | − | 5.71051i | −0.0266669 | − | 0.304804i | ||||
\(352\) | 3.33964 | + | 2.80229i | 0.178003 | + | 0.149362i | ||||
\(353\) | 4.40186 | + | 24.9642i | 0.234288 | + | 1.32871i | 0.844109 | + | 0.536172i | \(0.180130\pi\) |
−0.609821 | + | 0.792539i | \(0.708759\pi\) | |||||||
\(354\) | 8.15971 | + | 2.96989i | 0.433684 | + | 0.157848i | ||||
\(355\) | −14.7603 | − | 10.6423i | −0.783394 | − | 0.564836i | ||||
\(356\) | 1.00001 | + | 3.73209i | 0.0530005 | + | 0.197801i | ||||
\(357\) | −16.0556 | − | 2.83104i | −0.849754 | − | 0.149835i | ||||
\(358\) | −6.28604 | − | 0.549957i | −0.332227 | − | 0.0290661i | ||||
\(359\) | −25.6906 | + | 14.8325i | −1.35590 | + | 0.782827i | −0.989068 | − | 0.147462i | \(-0.952890\pi\) |
−0.366828 | + | 0.930289i | \(0.619556\pi\) | |||||||
\(360\) | −3.52020 | + | 3.42419i | −0.185531 | + | 0.180471i | ||||
\(361\) | −15.0620 | + | 2.65584i | −0.792739 | + | 0.139781i | ||||
\(362\) | −0.622909 | + | 0.359637i | −0.0327394 | + | 0.0189021i | ||||
\(363\) | 6.50518 | + | 3.03341i | 0.341433 | + | 0.159213i | ||||
\(364\) | −2.39917 | + | 2.39917i | −0.125751 | + | 0.125751i | ||||
\(365\) | 13.4988 | + | 11.6486i | 0.706560 | + | 0.609715i | ||||
\(366\) | 1.27406 | − | 7.22555i | 0.0665962 | − | 0.377686i | ||||
\(367\) | 0.518392 | + | 5.92524i | 0.0270598 | + | 0.309295i | 0.997648 | + | 0.0685485i | \(0.0218368\pi\) |
−0.970588 | + | 0.240747i | \(0.922608\pi\) | |||||||
\(368\) | −3.74095 | − | 4.45829i | −0.195010 | − | 0.232404i | ||||
\(369\) | −14.8308 | −0.772059 | ||||||||
\(370\) | 7.15204 | − | 11.5693i | 0.371817 | − | 0.601458i | ||||
\(371\) | −3.01940 | −0.156759 | ||||||||
\(372\) | 1.80572 | + | 2.15197i | 0.0936222 | + | 0.111575i | ||||
\(373\) | 1.12653 | + | 12.8763i | 0.0583293 | + | 0.666707i | 0.967929 | + | 0.251222i | \(0.0808325\pi\) |
−0.909600 | + | 0.415485i | \(0.863612\pi\) | |||||||
\(374\) | −4.99253 | + | 28.3140i | −0.258157 | + | 1.46408i | ||||
\(375\) | −3.03482 | − | 9.55315i | −0.156717 | − | 0.493323i | ||||
\(376\) | −5.83730 | + | 5.83730i | −0.301036 | + | 0.301036i | ||||
\(377\) | −2.64113 | − | 1.23158i | −0.136025 | − | 0.0634295i | ||||
\(378\) | −11.1247 | + | 6.42286i | −0.572194 | + | 0.330356i | ||||
\(379\) | −12.4786 | + | 2.20032i | −0.640985 | + | 0.113023i | −0.484688 | − | 0.874687i | \(-0.661067\pi\) |
−0.156297 | + | 0.987710i | \(0.549956\pi\) | |||||||
\(380\) | −13.0935 | − | 0.181013i | −0.671681 | − | 0.00928577i | ||||
\(381\) | −9.15702 | + | 5.28681i | −0.469128 | + | 0.270851i | ||||
\(382\) | 5.56889 | + | 0.487214i | 0.284929 | + | 0.0249281i | ||||
\(383\) | −7.39195 | − | 1.30340i | −0.377711 | − | 0.0666007i | −0.0184303 | − | 0.999830i | \(-0.505867\pi\) |
−0.359281 | + | 0.933229i | \(0.616978\pi\) | |||||||
\(384\) | −0.232041 | − | 0.865990i | −0.0118413 | − | 0.0441924i | ||||
\(385\) | 26.5338 | − | 4.30132i | 1.35229 | − | 0.219215i | ||||
\(386\) | 2.60821 | + | 0.949312i | 0.132755 | + | 0.0483187i | ||||
\(387\) | −2.21660 | − | 12.5710i | −0.112676 | − | 0.639018i | ||||
\(388\) | 7.25682 | + | 6.08919i | 0.368409 | + | 0.309132i | ||||
\(389\) | 2.54800 | + | 29.1238i | 0.129189 | + | 1.47664i | 0.733392 | + | 0.679806i | \(0.237936\pi\) |
−0.604203 | + | 0.796830i | \(0.706509\pi\) | |||||||
\(390\) | 1.91139 | − | 1.55933i | 0.0967871 | − | 0.0789600i | ||||
\(391\) | 13.1272 | − | 36.0666i | 0.663869 | − | 1.82397i | ||||
\(392\) | 0.566945 | + | 0.206351i | 0.0286350 | + | 0.0104223i | ||||
\(393\) | 1.48009 | + | 0.854528i | 0.0746605 | + | 0.0431053i | ||||
\(394\) | −2.04461 | − | 2.92001i | −0.103006 | − | 0.147108i | ||||
\(395\) | 13.8346 | + | 5.25307i | 0.696093 | + | 0.264310i | ||||
\(396\) | 4.78730 | + | 8.29184i | 0.240571 | + | 0.416681i | ||||
\(397\) | 7.76367 | + | 28.9744i | 0.389648 | + | 1.45418i | 0.830709 | + | 0.556708i | \(0.187936\pi\) |
−0.441061 | + | 0.897477i | \(0.645398\pi\) | |||||||
\(398\) | −9.04478 | + | 12.9173i | −0.453374 | + | 0.647485i | ||||
\(399\) | −13.9838 | − | 3.74696i | −0.700068 | − | 0.187583i | ||||
\(400\) | −4.89816 | − | 1.00403i | −0.244908 | − | 0.0502015i | ||||
\(401\) | 22.2441 | + | 22.2441i | 1.11082 | + | 1.11082i | 0.993040 | + | 0.117780i | \(0.0375778\pi\) |
0.117780 | + | 0.993040i | \(0.462422\pi\) | |||||||
\(402\) | 4.27810 | + | 11.7540i | 0.213372 | + | 0.586236i | ||||
\(403\) | 2.21146 | + | 3.15829i | 0.110161 | + | 0.157326i | ||||
\(404\) | −11.1813 | + | 13.3253i | −0.556289 | + | 0.662960i | ||||
\(405\) | −4.91917 | + | 2.21158i | −0.244436 | + | 0.109894i | ||||
\(406\) | 6.53043i | 0.324100i | ||||||||
\(407\) | −18.4438 | − | 19.0538i | −0.914225 | − | 0.944462i | ||||
\(408\) | 4.18080 | − | 4.18080i | 0.206980 | − | 0.206980i | ||||
\(409\) | −0.778899 | + | 8.90286i | −0.0385141 | + | 0.440218i | 0.952317 | + | 0.305111i | \(0.0986935\pi\) |
−0.990831 | + | 0.135107i | \(0.956862\pi\) | |||||||
\(410\) | −8.48912 | − | 12.4876i | −0.419248 | − | 0.616720i | ||||
\(411\) | 3.93683 | + | 0.694170i | 0.194190 | + | 0.0342409i | ||||
\(412\) | 8.43160 | − | 3.06885i | 0.415395 | − | 0.151191i | ||||
\(413\) | − | 26.7068i | − | 1.31416i | ||||||
\(414\) | −4.37161 | − | 12.0109i | −0.214853 | − | 0.590303i | ||||
\(415\) | −11.3799 | − | 6.78165i | −0.558618 | − | 0.332898i | ||||
\(416\) | −0.213670 | − | 1.21178i | −0.0104761 | − | 0.0594126i | ||||
\(417\) | −9.26853 | + | 2.48349i | −0.453882 | + | 0.121617i | ||||
\(418\) | −6.60774 | + | 24.6604i | −0.323195 | + | 1.20618i | ||||
\(419\) | 0.638116 | + | 0.760477i | 0.0311740 | + | 0.0371517i | 0.781406 | − | 0.624023i | \(-0.214503\pi\) |
−0.750232 | + | 0.661174i | \(0.770058\pi\) | |||||||
\(420\) | −4.97716 | − | 2.40520i | −0.242861 | − | 0.117362i | ||||
\(421\) | −4.35691 | + | 1.16743i | −0.212343 | + | 0.0568971i | −0.363422 | − | 0.931625i | \(-0.618392\pi\) |
0.151079 | + | 0.988522i | \(0.451725\pi\) | |||||||
\(422\) | 9.33496 | − | 25.6476i | 0.454419 | − | 1.24851i | ||||
\(423\) | −16.4315 | + | 7.66215i | −0.798928 | + | 0.372546i | ||||
\(424\) | 0.628072 | − | 0.896980i | 0.0305019 | − | 0.0435612i | ||||
\(425\) | −10.4170 | − | 31.2856i | −0.505298 | − | 1.51757i | ||||
\(426\) | 7.26816 | − | 0.635881i | 0.352143 | − | 0.0308085i | ||||
\(427\) | −22.2231 | + | 3.91852i | −1.07545 | + | 0.189631i | ||||
\(428\) | 6.17739 | + | 13.2475i | 0.298596 | + | 0.640340i | ||||
\(429\) | −2.03253 | − | 4.35877i | −0.0981314 | − | 0.210443i | ||||
\(430\) | 9.31608 | − | 9.06201i | 0.449261 | − | 0.437009i | ||||
\(431\) | 13.4406 | − | 9.41119i | 0.647410 | − | 0.453321i | −0.203187 | − | 0.979140i | \(-0.565130\pi\) |
0.850597 | + | 0.525819i | \(0.176241\pi\) | |||||||
\(432\) | 0.406025 | − | 4.64088i | 0.0195349 | − | 0.223285i | ||||
\(433\) | 19.2643 | + | 5.16185i | 0.925783 | + | 0.248063i | 0.690055 | − | 0.723757i | \(-0.257586\pi\) |
0.235727 | + | 0.971819i | \(0.424253\pi\) | |||||||
\(434\) | 4.32002 | − | 7.48249i | 0.207367 | − | 0.359171i | ||||
\(435\) | 0.479141 | − | 4.72358i | 0.0229731 | − | 0.226478i | ||||
\(436\) | 3.92503 | − | 14.6484i | 0.187975 | − | 0.701531i | ||||
\(437\) | 14.4037 | − | 30.8888i | 0.689022 | − | 1.47761i | ||||
\(438\) | −7.14882 | −0.341584 | ||||||||
\(439\) | −2.20360 | + | 4.72564i | −0.105172 | + | 0.225542i | −0.951850 | − | 0.306563i | \(-0.900821\pi\) |
0.846678 | + | 0.532105i | \(0.178599\pi\) | |||||||
\(440\) | −4.24156 | + | 8.77719i | −0.202208 | + | 0.418436i | ||||
\(441\) | 1.01504 | + | 0.851722i | 0.0483354 | + | 0.0405582i | ||||
\(442\) | 6.21631 | − | 5.21611i | 0.295680 | − | 0.248105i | ||||
\(443\) | 10.2560 | + | 10.2560i | 0.487275 | + | 0.487275i | 0.907445 | − | 0.420170i | \(-0.138030\pi\) |
−0.420170 | + | 0.907445i | \(0.638030\pi\) | |||||||
\(444\) | 0.859497 | + | 5.38528i | 0.0407899 | + | 0.255574i | ||||
\(445\) | −7.54112 | + | 4.21596i | −0.357483 | + | 0.199856i | ||||
\(446\) | −3.25295 | − | 0.284596i | −0.154032 | − | 0.0134760i | ||||
\(447\) | 20.2771 | − | 1.77402i | 0.959076 | − | 0.0839083i | ||||
\(448\) | −2.25874 | + | 1.58159i | −0.106715 | + | 0.0747230i | ||||
\(449\) | −3.36619 | − | 1.56968i | −0.158861 | − | 0.0740779i | 0.341562 | − | 0.939859i | \(-0.389044\pi\) |
−0.500422 | + | 0.865781i | \(0.666822\pi\) | |||||||
\(450\) | −9.35449 | − | 5.75134i | −0.440975 | − | 0.271121i | ||||
\(451\) | −27.6643 | + | 10.0690i | −1.30266 | + | 0.474129i | ||||
\(452\) | −1.88780 | − | 3.26976i | −0.0887945 | − | 0.153797i | ||||
\(453\) | −7.18191 | − | 5.02883i | −0.337436 | − | 0.236275i | ||||
\(454\) | 5.79513 | + | 3.34582i | 0.271979 | + | 0.157027i | ||||
\(455\) | −6.51733 | − | 3.88388i | −0.305537 | − | 0.182079i | ||||
\(456\) | 4.02193 | − | 3.37480i | 0.188344 | − | 0.158040i | ||||
\(457\) | −0.642633 | + | 3.64455i | −0.0300611 | + | 0.170485i | −0.996142 | − | 0.0877539i | \(-0.972031\pi\) |
0.966081 | + | 0.258239i | \(0.0831422\pi\) | |||||||
\(458\) | 7.38488 | − | 12.7910i | 0.345073 | − | 0.597684i | ||||
\(459\) | 27.8444 | − | 12.9840i | 1.29966 | − | 0.606043i | ||||
\(460\) | 7.61097 | − | 10.5560i | 0.354863 | − | 0.492174i | ||||
\(461\) | 6.19389 | + | 4.33701i | 0.288478 | + | 0.201995i | 0.708854 | − | 0.705356i | \(-0.249213\pi\) |
−0.420375 | + | 0.907350i | \(0.638102\pi\) | |||||||
\(462\) | −6.92761 | + | 8.25601i | −0.322302 | + | 0.384104i | ||||
\(463\) | −5.78571 | + | 6.89514i | −0.268885 | + | 0.320444i | −0.883544 | − | 0.468349i | \(-0.844849\pi\) |
0.614659 | + | 0.788793i | \(0.289294\pi\) | |||||||
\(464\) | −1.94001 | − | 1.35841i | −0.0900628 | − | 0.0630627i | ||||
\(465\) | −3.67374 | + | 5.09526i | −0.170366 | + | 0.236287i | ||||
\(466\) | −21.2355 | + | 9.90226i | −0.983714 | + | 0.458713i | ||||
\(467\) | 12.5829 | − | 21.7943i | 0.582268 | − | 1.00852i | −0.412942 | − | 0.910757i | \(-0.635499\pi\) |
0.995210 | − | 0.0977603i | \(-0.0311679\pi\) | |||||||
\(468\) | 0.469267 | − | 2.66134i | 0.0216919 | − | 0.123021i | ||||
\(469\) | 29.4704 | − | 24.7286i | 1.36082 | − | 1.14186i | ||||
\(470\) | −15.8570 | − | 9.44968i | −0.731428 | − | 0.435881i | ||||
\(471\) | −1.73043 | − | 0.999062i | −0.0797338 | − | 0.0460343i | ||||
\(472\) | 7.93386 | + | 5.55535i | 0.365185 | + | 0.255706i | ||||
\(473\) | −12.6694 | − | 21.9441i | −0.582541 | − | 1.00899i | ||||
\(474\) | −5.57548 | + | 2.02931i | −0.256090 | + | 0.0932093i | ||||
\(475\) | −6.79365 | − | 28.4817i | −0.311714 | − | 1.30683i | ||||
\(476\) | −16.4810 | − | 7.68520i | −0.755404 | − | 0.352251i | ||||
\(477\) | 1.96996 | − | 1.37938i | 0.0901984 | − | 0.0631576i | ||||
\(478\) | −1.55861 | + | 0.136360i | −0.0712890 | + | 0.00623698i | ||||
\(479\) | 24.6214 | + | 2.15410i | 1.12498 | + | 0.0984231i | 0.634424 | − | 0.772986i | \(-0.281237\pi\) |
0.490558 | + | 0.871409i | \(0.336793\pi\) | |||||||
\(480\) | 1.74983 | − | 0.978266i | 0.0798685 | − | 0.0446515i | ||||
\(481\) | 0.530968 | + | 7.46585i | 0.0242101 | + | 0.340414i | ||||
\(482\) | 20.0660 | + | 20.0660i | 0.913982 | + | 0.913982i | ||||
\(483\) | 11.0215 | − | 9.24810i | 0.501494 | − | 0.420803i | ||||
\(484\) | 6.13293 | + | 5.14614i | 0.278770 | + | 0.233916i | ||||
\(485\) | −9.21664 | + | 19.0723i | −0.418506 | + | 0.866028i | ||||
\(486\) | 6.82035 | − | 14.6263i | 0.309377 | − | 0.663461i | ||||
\(487\) | 2.92419 | 0.132508 | 0.0662538 | − | 0.997803i | \(-0.478895\pi\) | ||||
0.0662538 | + | 0.997803i | \(0.478895\pi\) | |||||||
\(488\) | 3.45859 | − | 7.41696i | 0.156563 | − | 0.335750i | ||||
\(489\) | −4.54760 | + | 16.9719i | −0.205649 | + | 0.767494i | ||||
\(490\) | −0.136147 | + | 1.34220i | −0.00615051 | + | 0.0606344i | ||||
\(491\) | 5.76466 | − | 9.98469i | 0.260156 | − | 0.450603i | −0.706128 | − | 0.708085i | \(-0.749559\pi\) |
0.966283 | + | 0.257482i | \(0.0828928\pi\) | |||||||
\(492\) | 5.84791 | + | 1.56694i | 0.263644 | + | 0.0706433i | ||||
\(493\) | 1.36126 | − | 15.5593i | 0.0613081 | − | 0.700754i | ||||
\(494\) | 5.90269 | − | 4.13311i | 0.265575 | − | 0.185957i | ||||
\(495\) | −15.3466 | + | 14.9281i | −0.689778 | + | 0.670966i | ||||
\(496\) | 1.32423 | + | 2.83981i | 0.0594595 | + | 0.127511i | ||||
\(497\) | −9.48333 | − | 20.3371i | −0.425386 | − | 0.912242i | ||||
\(498\) | 5.23077 | − | 0.922326i | 0.234396 | − | 0.0413304i | ||||
\(499\) | 12.9127 | − | 1.12972i | 0.578053 | − | 0.0505731i | 0.205620 | − | 0.978632i | \(-0.434079\pi\) |
0.372433 | + | 0.928059i | \(0.378524\pi\) | |||||||
\(500\) | −0.511826 | − | 11.1686i | −0.0228895 | − | 0.499476i | ||||
\(501\) | −7.49065 | + | 10.6978i | −0.334658 | + | 0.477941i | ||||
\(502\) | 0.333905 | − | 0.155702i | 0.0149029 | − | 0.00694934i | ||||
\(503\) | −2.55079 | + | 7.00823i | −0.113734 | + | 0.312482i | −0.983480 | − | 0.181019i | \(-0.942061\pi\) |
0.869746 | + | 0.493500i | \(0.164283\pi\) | |||||||
\(504\) | −5.84953 | + | 1.56738i | −0.260559 | + | 0.0698165i | ||||
\(505\) | −35.0215 | − | 16.9240i | −1.55844 | − | 0.753110i | ||||
\(506\) | −16.3090 | − | 19.4363i | −0.725022 | − | 0.864048i | ||||
\(507\) | 2.66521 | − | 9.94670i | 0.118366 | − | 0.441748i | ||||
\(508\) | −11.3919 | + | 3.05246i | −0.505436 | + | 0.135431i | ||||
\(509\) | 0.449190 | + | 2.54749i | 0.0199100 | + | 0.112915i | 0.993143 | − | 0.116905i | \(-0.0372973\pi\) |
−0.973233 | + | 0.229820i | \(0.926186\pi\) | |||||||
\(510\) | 11.3571 | + | 6.76806i | 0.502902 | + | 0.299695i | ||||
\(511\) | 7.52002 | + | 20.6611i | 0.332666 | + | 0.913992i | ||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 25.6362 | − | 9.33082i | 1.13187 | − | 0.411966i | ||||
\(514\) | −2.66002 | − | 0.469033i | −0.117328 | − | 0.0206882i | ||||
\(515\) | 11.2797 | + | 16.5927i | 0.497044 | + | 0.731160i | ||||
\(516\) | −0.454158 | + | 5.19105i | −0.0199932 | + | 0.228523i | ||||
\(517\) | −25.4482 | + | 25.4482i | −1.11921 | + | 1.11921i | ||||
\(518\) | 14.6601 | − | 8.14897i | 0.644126 | − | 0.358045i | ||||
\(519\) | − | 8.38585i | − | 0.368098i | ||||||
\(520\) | 2.50948 | − | 1.12822i | 0.110048 | − | 0.0494759i | ||||
\(521\) | 10.9268 | − | 13.0220i | 0.478710 | − | 0.570504i | −0.471599 | − | 0.881813i | \(-0.656323\pi\) |
0.950309 | + | 0.311309i | \(0.100767\pi\) | |||||||
\(522\) | −2.98337 | − | 4.26069i | −0.130578 | − | 0.186485i | ||||
\(523\) | 7.38847 | + | 20.2997i | 0.323075 | + | 0.887642i | 0.989816 | + | 0.142352i | \(0.0454666\pi\) |
−0.666741 | + | 0.745290i | \(0.732311\pi\) | |||||||
\(524\) | 1.34795 | + | 1.34795i | 0.0588853 | + | 0.0588853i | ||||
\(525\) | 2.48209 | − | 12.1089i | 0.108327 | − | 0.528474i | ||||
\(526\) | 21.0385 | + | 5.63724i | 0.917321 | + | 0.245795i | ||||
\(527\) | −11.8525 | + | 16.9271i | −0.516303 | + | 0.737357i | ||||
\(528\) | −1.01160 | − | 3.77536i | −0.0440244 | − | 0.164301i | ||||
\(529\) | 5.43551 | + | 9.41457i | 0.236326 | + | 0.409329i | ||||
\(530\) | 2.28906 | + | 0.869168i | 0.0994303 | + | 0.0377542i | ||||
\(531\) | 12.2007 | + | 17.4245i | 0.529467 | + | 0.756158i | ||||
\(532\) | −13.9844 | − | 8.07390i | −0.606301 | − | 0.350048i | ||||
\(533\) | 7.80814 | + | 2.84193i | 0.338208 | + | 0.123098i | ||||
\(534\) | 1.18476 | − | 3.25510i | 0.0512695 | − | 0.140862i | ||||
\(535\) | −25.3258 | + | 20.6611i | −1.09493 | + | 0.893256i | ||||
\(536\) | 1.21598 | + | 13.8987i | 0.0525223 | + | 0.600333i | ||||
\(537\) | 4.33367 | + | 3.63638i | 0.187012 | + | 0.156921i | ||||
\(538\) | −1.86616 | − | 10.5835i | −0.0804560 | − | 0.456289i | ||||
\(539\) | 2.47164 | + | 0.899605i | 0.106461 | + | 0.0387487i | ||||
\(540\) | 10.2827 | − | 1.66691i | 0.442499 | − | 0.0717322i | ||||
\(541\) | 3.83568 | + | 14.3149i | 0.164909 | + | 0.615448i | 0.998052 | + | 0.0623902i | \(0.0198723\pi\) |
−0.833143 | + | 0.553057i | \(0.813461\pi\) | |||||||
\(542\) | −19.5696 | − | 3.45064i | −0.840584 | − | 0.148218i | ||||
\(543\) | 0.642403 | + | 0.0562030i | 0.0275681 | + | 0.00241190i | ||||
\(544\) | 5.71131 | − | 3.29743i | 0.244870 | − | 0.141376i | ||||
\(545\) | 33.9071 | + | 0.468754i | 1.45242 | + | 0.0200792i | ||||
\(546\) | 2.99569 | − | 0.528221i | 0.128204 | − | 0.0226058i | ||||
\(547\) | −24.4454 | + | 14.1136i | −1.04521 | + | 0.603453i | −0.921305 | − | 0.388841i | \(-0.872876\pi\) |
−0.123906 | + | 0.992294i | \(0.539542\pi\) | |||||||
\(548\) | 4.04112 | + | 1.88441i | 0.172628 | + | 0.0804979i | ||||
\(549\) | 12.7090 | − | 12.7090i | 0.542406 | − | 0.542406i | ||||
\(550\) | −21.3539 | − | 4.37715i | −0.910534 | − | 0.186642i | ||||
\(551\) | 2.40836 | − | 13.6585i | 0.102600 | − | 0.581872i | ||||
\(552\) | 0.454757 | + | 5.19790i | 0.0193557 | + | 0.221237i | ||||
\(553\) | 11.7300 | + | 13.9792i | 0.498809 | + | 0.594458i | ||||
\(554\) | −18.9398 | −0.804677 | ||||||||
\(555\) | −11.2018 | + | 4.81868i | −0.475489 | + | 0.204542i | ||||
\(556\) | −10.7028 | −0.453900 | ||||||||
\(557\) | 18.9891 | + | 22.6304i | 0.804595 | + | 0.958879i | 0.999760 | − | 0.0218911i | \(-0.00696872\pi\) |
−0.195165 | + | 0.980770i | \(0.562524\pi\) | |||||||
\(558\) | 0.599770 | + | 6.85541i | 0.0253903 | + | 0.290212i | ||||
\(559\) | −1.24190 | + | 7.04315i | −0.0525267 | + | 0.297894i | ||||
\(560\) | −4.66801 | − | 4.02819i | −0.197260 | − | 0.170222i | ||||
\(561\) | 18.2265 | − | 18.2265i | 0.769525 | − | 0.769525i | ||||
\(562\) | 20.9494 | + | 9.76888i | 0.883698 | + | 0.412075i | ||||
\(563\) | −19.5599 | + | 11.2929i | −0.824353 | + | 0.475941i | −0.851915 | − | 0.523680i | \(-0.824559\pi\) |
0.0275621 | + | 0.999620i | \(0.491226\pi\) | |||||||
\(564\) | 7.28866 | − | 1.28519i | 0.306908 | − | 0.0541161i | ||||
\(565\) | 6.05169 | − | 5.88665i | 0.254597 | − | 0.247653i | ||||
\(566\) | −15.6334 | + | 9.02597i | −0.657122 | + | 0.379390i | ||||
\(567\) | −6.62564 | − | 0.579669i | −0.278251 | − | 0.0243438i | ||||
\(568\) | 8.01424 | + | 1.41313i | 0.336270 | + | 0.0592935i | ||||
\(569\) | −10.5985 | − | 39.5541i | −0.444312 | − | 1.65819i | −0.717747 | − | 0.696304i | \(-0.754827\pi\) |
0.273435 | − | 0.961890i | \(-0.411840\pi\) | |||||||
\(570\) | 9.52279 | + | 6.86604i | 0.398866 | + | 0.287587i | ||||
\(571\) | −12.5579 | − | 4.57069i | −0.525530 | − | 0.191277i | 0.0656111 | − | 0.997845i | \(-0.479100\pi\) |
−0.591142 | + | 0.806568i | \(0.701323\pi\) | |||||||
\(572\) | −0.931514 | − | 5.28288i | −0.0389486 | − | 0.220888i | ||||
\(573\) | −3.83926 | − | 3.22152i | −0.160387 | − | 0.134581i | ||||
\(574\) | −1.62288 | − | 18.5496i | −0.0677376 | − | 0.774245i | ||||
\(575\) | 27.0589 | + | 10.7047i | 1.12843 | + | 0.446417i | ||||
\(576\) | 0.751151 | − | 2.06377i | 0.0312979 | − | 0.0859904i | ||||
\(577\) | 20.3573 | + | 7.40944i | 0.847484 | + | 0.308459i | 0.729014 | − | 0.684498i | \(-0.239979\pi\) |
0.118470 | + | 0.992958i | \(0.462201\pi\) | |||||||
\(578\) | 22.9428 | + | 13.2460i | 0.954295 | + | 0.550962i | ||||
\(579\) | −1.42731 | − | 2.03841i | −0.0593169 | − | 0.0847133i | ||||
\(580\) | 1.87986 | − | 4.95084i | 0.0780569 | − | 0.205572i | ||||
\(581\) | −8.16802 | − | 14.1474i | −0.338867 | − | 0.586934i | ||||
\(582\) | −2.19815 | − | 8.20361i | −0.0911163 | − | 0.340051i | ||||
\(583\) | 2.73813 | − | 3.91046i | 0.113402 | − | 0.161955i | ||||
\(584\) | −7.70210 | − | 2.06377i | −0.318715 | − | 0.0853994i | ||||
\(585\) | 6.02646 | − | 0.443397i | 0.249163 | − | 0.0183322i | ||||
\(586\) | −3.70385 | − | 3.70385i | −0.153005 | − | 0.153005i | ||||
\(587\) | −11.9392 | − | 32.8026i | −0.492782 | − | 1.35391i | −0.898124 | − | 0.439743i | \(-0.855069\pi\) |
0.405341 | − | 0.914165i | \(-0.367153\pi\) | |||||||
\(588\) | −0.310253 | − | 0.443087i | −0.0127946 | − | 0.0182726i | ||||
\(589\) | −11.7949 | + | 14.0566i | −0.485998 | + | 0.579190i | ||||
\(590\) | −7.68786 | + | 20.2469i | −0.316504 | + | 0.833551i | ||||
\(591\) | 3.19587i | 0.131460i | ||||||||
\(592\) | −0.628641 | + | 6.05019i | −0.0258370 | + | 0.248661i | ||||
\(593\) | −12.6001 | + | 12.6001i | −0.517424 | + | 0.517424i | −0.916791 | − | 0.399367i | \(-0.869230\pi\) |
0.399367 | + | 0.916791i | \(0.369230\pi\) | |||||||
\(594\) | 1.77010 | − | 20.2323i | 0.0726281 | − | 0.830142i | ||||
\(595\) | 7.61381 | − | 39.9431i | 0.312136 | − | 1.63751i | ||||
\(596\) | 22.3586 | + | 3.94242i | 0.915844 | + | 0.161488i | ||||
\(597\) | 13.2850 | − | 4.83535i | 0.543719 | − | 0.197898i | ||||
\(598\) | 7.16124i | 0.292845i | ||||||||
\(599\) | −6.01254 | − | 16.5193i | −0.245666 | − | 0.674961i | −0.999833 | − | 0.0182784i | \(-0.994181\pi\) |
0.754167 | − | 0.656682i | \(-0.228041\pi\) | |||||||
\(600\) | 3.08091 | + | 3.25616i | 0.125778 | + | 0.132932i | ||||
\(601\) | −7.40047 | − | 41.9702i | −0.301872 | − | 1.71200i | −0.637877 | − | 0.770139i | \(-0.720187\pi\) |
0.336005 | − | 0.941860i | \(-0.390924\pi\) | |||||||
\(602\) | 15.4806 | − | 4.14801i | 0.630942 | − | 0.169060i | ||||
\(603\) | −7.93052 | + | 29.5971i | −0.322956 | + | 1.20529i | ||||
\(604\) | −6.28599 | − | 7.49135i | −0.255773 | − | 0.304819i | ||||
\(605\) | −7.78923 | + | 16.1185i | −0.316677 | + | 0.655310i | ||||
\(606\) | 15.0639 | − | 4.03636i | 0.611929 | − | 0.163966i | ||||
\(607\) | 0.907632 | − | 2.49370i | 0.0368396 | − | 0.101216i | −0.919909 | − | 0.392132i | \(-0.871738\pi\) |
0.956749 | + | 0.290916i | \(0.0939599\pi\) | |||||||
\(608\) | 5.30747 | − | 2.47491i | 0.215246 | − | 0.100371i | ||||
\(609\) | 3.35817 | − | 4.79596i | 0.136080 | − | 0.194342i | ||||
\(610\) | 17.9757 | + | 3.42646i | 0.727814 | + | 0.138733i | ||||
\(611\) | 10.1192 | − | 0.885313i | 0.409378 | − | 0.0358159i | ||||
\(612\) | 14.2637 | − | 2.51507i | 0.576575 | − | 0.101666i | ||||
\(613\) | −7.46981 | − | 16.0191i | −0.301703 | − | 0.647004i | 0.695754 | − | 0.718280i | \(-0.255071\pi\) |
−0.997457 | + | 0.0712765i | \(0.977293\pi\) | |||||||
\(614\) | −3.11452 | − | 6.67912i | −0.125692 | − | 0.269547i | ||||
\(615\) | −0.187135 | + | 13.5363i | −0.00754602 | + | 0.545837i | ||||
\(616\) | −9.84717 | + | 6.89506i | −0.396754 | + | 0.277810i | ||||
\(617\) | 2.45801 | − | 28.0951i | 0.0989556 | − | 1.13107i | −0.770629 | − | 0.637284i | \(-0.780058\pi\) |
0.869585 | − | 0.493784i | \(-0.164387\pi\) | |||||||
\(618\) | −7.77029 | − | 2.08204i | −0.312567 | − | 0.0837520i | ||||
\(619\) | 14.5062 | − | 25.1256i | 0.583055 | − | 1.00988i | −0.412059 | − | 0.911157i | \(-0.635190\pi\) |
0.995115 | − | 0.0987246i | \(-0.0314763\pi\) | |||||||
\(620\) | −5.42900 | + | 4.42904i | −0.218034 | + | 0.177875i | ||||
\(621\) | −7.01725 | + | 26.1887i | −0.281592 | + | 1.05092i | ||||
\(622\) | 3.10221 | − | 6.65271i | 0.124387 | − | 0.266750i | ||||
\(623\) | −10.6540 | −0.426842 | ||||||||
\(624\) | −0.466221 | + | 0.999813i | −0.0186638 | + | 0.0400246i | ||||
\(625\) | 23.9290 | − | 7.23909i | 0.957159 | − | 0.289563i | ||||
\(626\) | −20.6689 | − | 17.3432i | −0.826094 | − | 0.693176i | ||||
\(627\) | 17.5340 | − | 14.7127i | 0.700239 | − | 0.587570i | ||||
\(628\) | −1.57593 | − | 1.57593i | −0.0628866 | − | 0.0628866i | ||||
\(629\) | −36.6274 | + | 16.3597i | −1.46043 | + | 0.652304i | ||||
\(630\) | −6.60792 | − | 11.8196i | −0.263266 | − | 0.470906i | ||||
\(631\) | −32.2562 | − | 2.82205i | −1.28410 | − | 0.112344i | −0.575410 | − | 0.817865i | \(-0.695158\pi\) |
−0.708689 | + | 0.705521i | \(0.750713\pi\) | |||||||
\(632\) | −6.59283 | + | 0.576798i | −0.262249 | + | 0.0229438i | ||||
\(633\) | −20.0445 | + | 14.0353i | −0.796696 | + | 0.557853i | ||||
\(634\) | −20.3602 | − | 9.49412i | −0.808607 | − | 0.377060i | ||||
\(635\) | −12.8689 | − | 23.0187i | −0.510687 | − | 0.913469i | ||||
\(636\) | −0.922514 | + | 0.335768i | −0.0365801 | + | 0.0133141i | ||||
\(637\) | −0.371192 | − | 0.642924i | −0.0147072 | − | 0.0254736i | ||||
\(638\) | −8.45765 | − | 5.92211i | −0.334841 | − | 0.234459i | ||||
\(639\) | 15.4781 | + | 8.93627i | 0.612303 | + | 0.353513i | ||||
\(640\) | 2.16767 | − | 0.548825i | 0.0856847 | − | 0.0216942i | ||||
\(641\) | −26.7526 | + | 22.4481i | −1.05667 | + | 0.886648i | −0.993779 | − | 0.111373i | \(-0.964475\pi\) |
−0.0628868 | + | 0.998021i | \(0.520031\pi\) | |||||||
\(642\) | 2.27560 | − | 12.9056i | 0.0898109 | − | 0.509343i | ||||
\(643\) | 6.19002 | − | 10.7214i | 0.244111 | − | 0.422812i | −0.717771 | − | 0.696280i | \(-0.754837\pi\) |
0.961881 | + | 0.273468i | \(0.0881707\pi\) | |||||||
\(644\) | 14.5443 | − | 6.78210i | 0.573124 | − | 0.267252i | ||||
\(645\) | −11.5017 | + | 1.86451i | −0.452880 | + | 0.0734151i | ||||
\(646\) | 31.6360 | + | 22.1517i | 1.24470 | + | 0.871548i | ||||
\(647\) | −5.40245 | + | 6.43839i | −0.212392 | + | 0.253119i | −0.861714 | − | 0.507395i | \(-0.830609\pi\) |
0.649321 | + | 0.760514i | \(0.275053\pi\) | |||||||
\(648\) | 1.55042 | − | 1.84772i | 0.0609063 | − | 0.0725852i | ||||
\(649\) | 34.5883 | + | 24.2190i | 1.35771 | + | 0.950679i | ||||
\(650\) | 3.82288 | + | 4.82053i | 0.149946 | + | 0.189077i | ||||
\(651\) | −7.02038 | + | 3.27366i | −0.275150 | + | 0.128305i | ||||
\(652\) | −9.79911 | + | 16.9726i | −0.383763 | + | 0.664696i | ||||
\(653\) | 7.49710 | − | 42.5182i | 0.293384 | − | 1.66386i | −0.380314 | − | 0.924857i | \(-0.624184\pi\) |
0.673698 | − | 0.739007i | \(-0.264705\pi\) | |||||||
\(654\) | −10.4153 | + | 8.73943i | −0.407269 | + | 0.341739i | ||||
\(655\) | −2.18211 | + | 3.66169i | −0.0852622 | + | 0.143074i | ||||
\(656\) | 5.84815 | + | 3.37643i | 0.228332 | + | 0.131828i | ||||
\(657\) | −14.3451 | − | 10.0446i | −0.559658 | − | 0.391876i | ||||
\(658\) | −11.3815 | − | 19.7133i | −0.443696 | − | 0.768504i | ||||
\(659\) | −14.8449 | + | 5.40308i | −0.578273 | + | 0.210474i | −0.614564 | − | 0.788867i | \(-0.710668\pi\) |
0.0362907 | + | 0.999341i | \(0.488446\pi\) | |||||||
\(660\) | 7.62853 | − | 4.26483i | 0.296940 | − | 0.166008i | ||||
\(661\) | −13.3378 | − | 6.21954i | −0.518782 | − | 0.241912i | 0.145548 | − | 0.989351i | \(-0.453505\pi\) |
−0.664330 | + | 0.747439i | \(0.731283\pi\) | |||||||
\(662\) | −3.76554 | + | 2.63666i | −0.146352 | + | 0.102477i | ||||
\(663\) | −7.24757 | + | 0.634080i | −0.281472 | + | 0.0246256i | ||||
\(664\) | 5.90186 | + | 0.516346i | 0.229037 | + | 0.0200381i | ||||
\(665\) | 9.82656 | − | 34.7447i | 0.381058 | − | 1.34734i | ||||
\(666\) | −5.84198 | + | 12.0140i | −0.226372 | + | 0.465533i | ||||
\(667\) | 9.74628 | + | 9.74628i | 0.377378 | + | 0.377378i | ||||
\(668\) | −11.1587 | + | 9.36325i | −0.431742 | + | 0.362275i | ||||
\(669\) | 2.24262 | + | 1.88178i | 0.0867048 | + | 0.0727540i | ||||
\(670\) | −29.4605 | + | 10.2638i | −1.13816 | + | 0.396525i | ||||
\(671\) | 15.0780 | − | 32.3349i | 0.582080 | − | 1.24827i | ||||
\(672\) | 2.47213 | 0.0953644 | ||||||||
\(673\) | −14.3540 | + | 30.7823i | −0.553307 | + | 1.18657i | 0.408478 | + | 0.912768i | \(0.366060\pi\) |
−0.961786 | + | 0.273803i | \(0.911718\pi\) | |||||||
\(674\) | 8.88583 | − | 33.1624i | 0.342269 | − | 1.27737i | ||||
\(675\) | 9.25673 | + | 21.3747i | 0.356292 | + | 0.822714i | ||||
\(676\) | 5.74296 | − | 9.94710i | 0.220883 | − | 0.382581i | ||||
\(677\) | 3.78267 | + | 1.01356i | 0.145380 | + | 0.0389544i | 0.330775 | − | 0.943710i | \(-0.392690\pi\) |
−0.185395 | + | 0.982664i | \(0.559357\pi\) | |||||||
\(678\) | −0.295019 | + | 3.37209i | −0.0113302 | + | 0.129504i | ||||
\(679\) | −21.3973 | + | 14.9825i | −0.821153 | + | 0.574977i | ||||
\(680\) | 10.2822 | + | 10.5705i | 0.394306 | + | 0.405361i | ||||
\(681\) | −2.53542 | − | 5.43722i | −0.0971575 | − | 0.208355i | ||||
\(682\) | 5.77307 | + | 12.3804i | 0.221062 | + | 0.474070i | ||||
\(683\) | 38.5873 | − | 6.80399i | 1.47650 | − | 0.260347i | 0.623323 | − | 0.781964i | \(-0.285782\pi\) |
0.853180 | + | 0.521617i | \(0.174671\pi\) | |||||||
\(684\) | 12.8124 | − | 1.12094i | 0.489895 | − | 0.0428603i | ||||
\(685\) | −1.86690 | + | 9.79403i | −0.0713307 | + | 0.374211i | ||||
\(686\) | 10.1169 | − | 14.4484i | 0.386265 | − | 0.551643i | ||||
\(687\) | −12.0010 | + | 5.59617i | −0.457868 | + | 0.213507i | ||||
\(688\) | −1.98789 | + | 5.46170i | −0.0757878 | + | 0.208225i | ||||
\(689\) | −1.30148 | + | 0.348729i | −0.0495823 | + | 0.0132855i | ||||
\(690\) | −11.0177 | + | 3.83850i | −0.419438 | + | 0.146129i | ||||
\(691\) | 18.0400 | + | 21.4993i | 0.686275 | + | 0.817871i | 0.990900 | − | 0.134601i | \(-0.0429754\pi\) |
−0.304624 | + | 0.952473i | \(0.598531\pi\) | |||||||
\(692\) | 2.42089 | − | 9.03487i | 0.0920283 | − | 0.343454i | ||||
\(693\) | −25.5015 | + | 6.83311i | −0.968723 | + | 0.259569i | ||||
\(694\) | −1.12907 | − | 6.40327i | −0.0428589 | − | 0.243065i | ||||
\(695\) | −5.87397 | − | 23.2001i | −0.222812 | − | 0.880032i | ||||
\(696\) | 0.726208 | + | 1.99524i | 0.0275268 | + | 0.0756294i | ||||
\(697\) | 44.5341i | 1.68685i | ||||||||
\(698\) | −28.7654 | + | 10.4697i | −1.08878 | + | 0.396285i | ||||
\(699\) | 20.6874 | + | 3.64775i | 0.782471 | + | 0.137971i | ||||
\(700\) | 6.16986 | − | 12.3295i | 0.233199 | − | 0.466011i | ||||
\(701\) | −0.309079 | + | 3.53279i | −0.0116737 | + | 0.133432i | −0.999795 | − | 0.0202443i | \(-0.993556\pi\) |
0.988121 | + | 0.153676i | \(0.0491112\pi\) | |||||||
\(702\) | −4.05336 | + | 4.05336i | −0.152984 | + | 0.152984i | ||||
\(703\) | −33.6670 | + | 11.6372i | −1.26978 | + | 0.438905i | ||||
\(704\) | − | 4.35958i | − | 0.164308i | ||||||
\(705\) | 6.78606 | + | 15.0941i | 0.255578 | + | 0.568475i | ||||
\(706\) | 16.2942 | − | 19.4187i | 0.613241 | − | 0.730833i | ||||
\(707\) | −27.5117 | − | 39.2908i | −1.03468 | − | 1.47768i | ||||
\(708\) | −2.96989 | − | 8.15971i | −0.111615 | − | 0.306661i | ||||
\(709\) | −10.9669 | − | 10.9669i | −0.411872 | − | 0.411872i | 0.470518 | − | 0.882390i | \(-0.344067\pi\) |
−0.882390 | + | 0.470518i | \(0.844067\pi\) | |||||||
\(710\) | 1.33522 | + | 18.1478i | 0.0501100 | + | 0.681074i | ||||
\(711\) | −14.0393 | − | 3.76183i | −0.526516 | − | 0.141080i | ||||
\(712\) | 2.21616 | − | 3.16500i | 0.0830539 | − | 0.118613i | ||||
\(713\) | −4.71980 | − | 17.6145i | −0.176758 | − | 0.659670i | ||||
\(714\) | 8.15166 | + | 14.1191i | 0.305068 | + | 0.528394i | ||||
\(715\) | 10.9403 | − | 4.91859i | 0.409144 | − | 0.183945i | ||||
\(716\) | 3.61930 | + | 5.16889i | 0.135259 | + | 0.193170i | ||||
\(717\) | 1.21476 | + | 0.701344i | 0.0453662 | + | 0.0261922i | ||||
\(718\) | 27.8759 | + | 10.1460i | 1.04032 | + | 0.378645i | ||||
\(719\) | −1.33820 | + | 3.67668i | −0.0499066 | + | 0.137117i | −0.962142 | − | 0.272550i | \(-0.912133\pi\) |
0.912235 | + | 0.409667i | \(0.134355\pi\) | |||||||
\(720\) | 4.88582 | + | 0.495598i | 0.182084 | + | 0.0184699i | ||||
\(721\) | 2.15636 | + | 24.6473i | 0.0803072 | + | 0.917915i | ||||
\(722\) | 11.7162 | + | 9.83104i | 0.436031 | + | 0.365874i | ||||
\(723\) | −4.41790 | − | 25.0551i | −0.164303 | − | 0.931811i | ||||
\(724\) | 0.675896 | + | 0.246006i | 0.0251195 | + | 0.00914274i | ||||
\(725\) | 11.7635 | + | 1.35777i | 0.436885 | + | 0.0504264i | ||||
\(726\) | −1.85772 | − | 6.93310i | −0.0689464 | − | 0.257311i | ||||
\(727\) | −29.9375 | − | 5.27880i | −1.11032 | − | 0.195780i | −0.411734 | − | 0.911304i | \(-0.635077\pi\) |
−0.698588 | + | 0.715524i | \(0.746188\pi\) | |||||||
\(728\) | 3.38003 | + | 0.295714i | 0.125272 | + | 0.0109599i | ||||
\(729\) | −6.26357 | + | 3.61627i | −0.231984 | + | 0.133936i | ||||
\(730\) | 0.246470 | − | 17.8282i | 0.00912225 | − | 0.659853i | ||||
\(731\) | −37.7484 | + | 6.65606i | −1.39617 | + | 0.246183i | ||||
\(732\) | −6.35404 | + | 3.66851i | −0.234852 | + | 0.135592i | ||||
\(733\) | −1.95872 | − | 0.913368i | −0.0723472 | − | 0.0337360i | 0.386108 | − | 0.922454i | \(-0.373819\pi\) |
−0.458455 | + | 0.888718i | \(0.651597\pi\) | |||||||
\(734\) | 4.20579 | − | 4.20579i | 0.155238 | − | 0.155238i | ||||
\(735\) | 0.790191 | − | 0.915703i | 0.0291466 | − | 0.0337762i | ||||
\(736\) | −1.01061 | + | 5.73146i | −0.0372516 | + | 0.211265i | ||||
\(737\) | 5.30117 | + | 60.5926i | 0.195271 | + | 2.23196i | ||||
\(738\) | 9.53303 | + | 11.3610i | 0.350916 | + | 0.418205i | ||||
\(739\) | 4.30268 | 0.158277 | 0.0791383 | − | 0.996864i | \(-0.474783\pi\) | ||||
0.0791383 | + | 0.996864i | \(0.474783\pi\) | |||||||
\(740\) | −13.4598 | + | 1.95781i | −0.494793 | + | 0.0719705i | ||||
\(741\) | −6.46033 | −0.237326 | ||||||||
\(742\) | 1.94083 | + | 2.31299i | 0.0712501 | + | 0.0849126i | ||||
\(743\) | −1.94681 | − | 22.2521i | −0.0714215 | − | 0.816351i | −0.944444 | − | 0.328672i | \(-0.893399\pi\) |
0.873023 | − | 0.487679i | \(-0.162157\pi\) | |||||||
\(744\) | 0.487813 | − | 2.76652i | 0.0178841 | − | 0.101426i | ||||
\(745\) | 3.72508 | + | 50.6298i | 0.136477 | + | 1.85493i | ||||
\(746\) | 9.13966 | − | 9.13966i | 0.334627 | − | 0.334627i | ||||
\(747\) | 11.7922 | + | 5.49881i | 0.431455 | + | 0.201191i | ||||
\(748\) | 24.8989 | − | 14.3754i | 0.910395 | − | 0.525617i | ||||
\(749\) | −39.6927 | + | 6.99889i | −1.45034 | + | 0.255734i | ||||
\(750\) | −5.36739 | + | 8.46545i | −0.195990 | + | 0.309115i | ||||
\(751\) | 9.24900 | − | 5.33991i | 0.337501 | − | 0.194856i | −0.321666 | − | 0.946853i | \(-0.604243\pi\) |
0.659166 | + | 0.751997i | \(0.270909\pi\) | |||||||
\(752\) | 8.22377 | + | 0.719487i | 0.299890 | + | 0.0262370i | ||||
\(753\) | −0.325288 | − | 0.0573570i | −0.0118541 | − | 0.00209021i | ||||
\(754\) | 0.754241 | + | 2.81487i | 0.0274678 | + | 0.102511i | ||||
\(755\) | 12.7889 | − | 17.7374i | 0.465435 | − | 0.645530i | ||||
\(756\) | 12.0710 | + | 4.39350i | 0.439019 | + | 0.159790i | ||||
\(757\) | 0.151436 | + | 0.858834i | 0.00550402 | + | 0.0312149i | 0.987436 | − | 0.158019i | \(-0.0505107\pi\) |
−0.981932 | + | 0.189234i | \(0.939400\pi\) | |||||||
\(758\) | 9.70666 | + | 8.14486i | 0.352562 | + | 0.295835i | ||||
\(759\) | 1.98255 | + | 22.6607i | 0.0719620 | + | 0.822530i | ||||
\(760\) | 8.27766 | + | 10.1465i | 0.300262 | + | 0.368054i | ||||
\(761\) | −9.32075 | + | 25.6086i | −0.337877 | + | 0.928309i | 0.648119 | + | 0.761539i | \(0.275556\pi\) |
−0.985996 | + | 0.166770i | \(0.946666\pi\) | |||||||
\(762\) | 9.93594 | + | 3.61639i | 0.359941 | + | 0.131008i | ||||
\(763\) | 36.2142 | + | 20.9083i | 1.31104 | + | 0.756931i | ||||
\(764\) | −3.20638 | − | 4.57919i | −0.116003 | − | 0.165669i | ||||
\(765\) | 13.2801 | + | 29.5386i | 0.480144 | + | 1.06797i | ||||
\(766\) | 3.75299 | + | 6.50037i | 0.135601 | + | 0.234868i | ||||
\(767\) | −3.08454 | − | 11.5116i | −0.111376 | − | 0.415662i | ||||
\(768\) | −0.514234 | + | 0.734402i | −0.0185558 | + | 0.0265004i | ||||
\(769\) | 10.5828 | + | 2.83564i | 0.381624 | + | 0.102256i | 0.444531 | − | 0.895763i | \(-0.353370\pi\) |
−0.0629066 | + | 0.998019i | \(0.520037\pi\) | |||||||
\(770\) | −20.3506 | − | 17.5612i | −0.733385 | − | 0.632863i | ||||
\(771\) | 1.71233 | + | 1.71233i | 0.0616681 | + | 0.0616681i | ||||
\(772\) | −0.949312 | − | 2.60821i | −0.0341665 | − | 0.0938717i | ||||
\(773\) | 3.51838 | + | 5.02477i | 0.126547 | + | 0.180728i | 0.877426 | − | 0.479712i | \(-0.159259\pi\) |
−0.750879 | + | 0.660440i | \(0.770370\pi\) | |||||||
\(774\) | −8.20511 | + | 9.77847i | −0.294927 | + | 0.351480i | ||||
\(775\) | −12.5803 | − | 9.33751i | −0.451897 | − | 0.335413i | ||||
\(776\) | − | 9.47310i | − | 0.340065i | ||||||
\(777\) | −14.9569 | − | 1.55408i | −0.536574 | − | 0.0557524i | ||||
\(778\) | 20.6723 | − | 20.6723i | 0.741138 | − | 0.741138i | ||||
\(779\) | −3.44664 | + | 39.3952i | −0.123489 | + | 1.41148i | ||||
\(780\) | −2.42314 | − | 0.461890i | −0.0867623 | − | 0.0165383i | ||||
\(781\) | 34.9387 | + | 6.16064i | 1.25021 | + | 0.220445i | ||||
\(782\) | −36.0666 | + | 13.1272i | −1.28974 | + | 0.469426i | ||||
\(783\) | 11.0331i | 0.394290i | ||||||||
\(784\) | −0.206351 | − | 0.566945i | −0.00736968 | − | 0.0202480i | ||||
\(785\) | 2.55119 | − | 4.28102i | 0.0910560 | − | 0.152796i | ||||
\(786\) | −0.296775 | − | 1.68309i | −0.0105856 | − | 0.0600339i | ||||
\(787\) | 21.7894 | − | 5.83845i | 0.776708 | − | 0.208118i | 0.151375 | − | 0.988476i | \(-0.451630\pi\) |
0.625333 | + | 0.780358i | \(0.284963\pi\) | |||||||
\(788\) | −0.922605 | + | 3.44321i | −0.0328665 | + | 0.122659i | ||||
\(789\) | −12.5518 | − | 14.9587i | −0.446857 | − | 0.532544i | ||||
\(790\) | −4.86861 | − | 13.9745i | −0.173218 | − | 0.497191i | ||||
\(791\) | 10.0561 | − | 2.69453i | 0.357555 | − | 0.0958066i | ||||
\(792\) | 3.27470 | − | 8.99718i | 0.116362 | − | 0.319701i | ||||
\(793\) | −9.12641 | + | 4.25572i | −0.324088 | + | 0.151125i | ||||
\(794\) | 17.2053 | − | 24.5717i | 0.610593 | − | 0.872018i | ||||
\(795\) | −1.23413 | − | 1.81543i | −0.0437702 | − | 0.0643866i | ||||
\(796\) | 15.7091 | − | 1.37437i | 0.556794 | − | 0.0487131i | ||||
\(797\) | −35.8392 | + | 6.31941i | −1.26949 | + | 0.223845i | −0.767511 | − | 0.641036i | \(-0.778505\pi\) |
−0.501977 | + | 0.864881i | \(0.667394\pi\) | |||||||
\(798\) | 6.11830 | + | 13.1207i | 0.216586 | + | 0.464469i | ||||
\(799\) | 23.0081 | + | 49.3409i | 0.813967 | + | 1.74556i | ||||
\(800\) | 2.37934 | + | 4.39758i | 0.0841225 | + | 0.155478i | ||||
\(801\) | 6.95102 | − | 4.86716i | 0.245602 | − | 0.171973i | ||||
\(802\) | 2.74174 | − | 31.3383i | 0.0968143 | − | 1.10659i | ||||
\(803\) | −33.5779 | − | 8.99718i | −1.18494 | − | 0.317504i | ||||
\(804\) | 6.25417 | − | 10.8325i | 0.220567 | − | 0.382034i | ||||
\(805\) | 22.6836 | + | 27.8050i | 0.799492 | + | 0.979996i | ||||
\(806\) | 0.997893 | − | 3.72419i | 0.0351493 | − | 0.131179i | ||||
\(807\) | −4.07190 | + | 8.73221i | −0.143338 | + | 0.307388i | ||||
\(808\) | 17.3950 | 0.611953 | ||||||||
\(809\) | −9.77111 | + | 20.9542i | −0.343534 | + | 0.736711i | −0.999842 | − | 0.0177824i | \(-0.994339\pi\) |
0.656308 | + | 0.754493i | \(0.272117\pi\) | |||||||
\(810\) | 4.85615 | + | 2.34672i | 0.170628 | + | 0.0824555i | ||||
\(811\) | −29.0589 | − | 24.3833i | −1.02040 | − | 0.856214i | −0.0307187 | − | 0.999528i | \(-0.509780\pi\) |
−0.989677 | + | 0.143314i | \(0.954224\pi\) | |||||||
\(812\) | 5.00260 | − | 4.19768i | 0.175557 | − | 0.147310i | ||||
\(813\) | 12.5975 | + | 12.5975i | 0.441813 | + | 0.441813i | ||||
\(814\) | −2.74062 | + | 26.3763i | −0.0960585 | + | 0.924489i | ||||
\(815\) | −42.1689 | − | 11.9263i | −1.47711 | − | 0.417759i | ||||
\(816\) | −5.89004 | − | 0.515312i | −0.206193 | − | 0.0180395i | ||||
\(817\) | −33.9076 | + | 2.96653i | −1.18628 | + | 0.103786i | ||||
\(818\) | 7.32065 | − | 5.12598i | 0.255961 | − | 0.179226i | ||||
\(819\) | 6.75347 | + | 3.14920i | 0.235985 | + | 0.110042i | ||||
\(820\) | −4.10938 | + | 14.5299i | −0.143506 | + | 0.507407i | ||||
\(821\) | 47.0712 | − | 17.1325i | 1.64280 | − | 0.597929i | 0.655273 | − | 0.755393i | \(-0.272554\pi\) |
0.987525 | + | 0.157463i | \(0.0503315\pi\) | |||||||
\(822\) | −1.99878 | − | 3.46199i | −0.0697156 | − | 0.120751i | ||||
\(823\) | −14.8677 | − | 10.4105i | −0.518257 | − | 0.362888i | 0.284993 | − | 0.958530i | \(-0.408009\pi\) |
−0.803250 | + | 0.595642i | \(0.796898\pi\) | |||||||
\(824\) | −7.77060 | − | 4.48636i | −0.270702 | − | 0.156290i | ||||
\(825\) | 13.4315 | + | 14.1955i | 0.467624 | + | 0.494224i | ||||
\(826\) | −20.4586 | + | 17.1668i | −0.711845 | + | 0.597309i | ||||
\(827\) | −5.29522 | + | 30.0307i | −0.184133 | + | 1.04427i | 0.742932 | + | 0.669367i | \(0.233435\pi\) |
−0.927065 | + | 0.374901i | \(0.877677\pi\) | |||||||
\(828\) | −6.39086 | + | 11.0693i | −0.222098 | + | 0.384685i | ||||
\(829\) | −18.5289 | + | 8.64018i | −0.643536 | + | 0.300086i | −0.716855 | − | 0.697223i | \(-0.754419\pi\) |
0.0733183 | + | 0.997309i | \(0.476641\pi\) | |||||||
\(830\) | 2.11982 | + | 13.0767i | 0.0735801 | + | 0.453898i | ||||
\(831\) | 13.9095 | + | 9.73951i | 0.482514 | + | 0.337860i | ||||
\(832\) | −0.790936 | + | 0.942601i | −0.0274208 | + | 0.0326788i | ||||
\(833\) | 2.55757 | − | 3.04799i | 0.0886146 | − | 0.105607i | ||||
\(834\) | 7.86016 | + | 5.50374i | 0.272175 | + | 0.190579i | ||||
\(835\) | −26.4206 | − | 19.0496i | −0.914322 | − | 0.659237i | ||||
\(836\) | 23.1383 | − | 10.7896i | 0.800256 | − | 0.373166i | ||||
\(837\) | 7.29861 | − | 12.6416i | 0.252277 | − | 0.436956i | ||||
\(838\) | 0.172386 | − | 0.977651i | 0.00595498 | − | 0.0337724i | ||||
\(839\) | 23.1992 | − | 19.4664i | 0.800924 | − | 0.672055i | −0.147499 | − | 0.989062i | \(-0.547122\pi\) |
0.948423 | + | 0.317007i | \(0.102678\pi\) | |||||||
\(840\) | 1.35677 | + | 5.35876i | 0.0468129 | + | 0.184895i | ||||
\(841\) | −20.2573 | − | 11.6955i | −0.698526 | − | 0.403294i | ||||
\(842\) | 3.69487 | + | 2.58718i | 0.127334 | + | 0.0891600i | ||||
\(843\) | −10.3618 | − | 17.9472i | −0.356880 | − | 0.618134i | ||||
\(844\) | −25.6476 | + | 9.33496i | −0.882827 | + | 0.321323i | ||||
\(845\) | 24.7139 | + | 6.98963i | 0.850184 | + | 0.240450i | ||||
\(846\) | 16.4315 | + | 7.66215i | 0.564927 | + | 0.263430i | ||||
\(847\) | −18.0834 | + | 12.6622i | −0.621354 | + | 0.435077i | ||||
\(848\) | −1.09084 | + | 0.0954364i | −0.0374597 | + | 0.00327730i | ||||
\(849\) | 16.1227 | + | 1.41055i | 0.553329 | + | 0.0484100i | ||||
\(850\) | −17.2702 | + | 28.0899i | −0.592365 | + | 0.963474i | ||||
\(851\) | 9.71743 | − | 34.0411i | 0.333109 | − | 1.16692i | ||||
\(852\) | −5.15899 | − | 5.15899i | −0.176744 | − | 0.176744i | ||||
\(853\) | 28.8277 | − | 24.1893i | 0.987041 | − | 0.828226i | 0.00190424 | − | 0.999998i | \(-0.499394\pi\) |
0.985137 | + | 0.171773i | \(0.0549494\pi\) | |||||||
\(854\) | 17.2865 | + | 14.5051i | 0.591531 | + | 0.496353i | ||||
\(855\) | 9.46161 | + | 27.1579i | 0.323580 | + | 0.928780i | ||||
\(856\) | 6.17739 | − | 13.2475i | 0.211139 | − | 0.452789i | ||||
\(857\) | 10.7224 | 0.366270 | 0.183135 | − | 0.983088i | \(-0.441375\pi\) | ||||
0.183135 | + | 0.983088i | \(0.441375\pi\) | |||||||
\(858\) | −2.03253 | + | 4.35877i | −0.0693894 | + | 0.148806i | ||||
\(859\) | −14.1311 | + | 52.7379i | −0.482146 | + | 1.79939i | 0.110436 | + | 0.993883i | \(0.464775\pi\) |
−0.592582 | + | 0.805510i | \(0.701891\pi\) | |||||||
\(860\) | −12.9302 | − | 1.31158i | −0.440915 | − | 0.0447246i | ||||
\(861\) | −8.34698 | + | 14.4574i | −0.284464 | + | 0.492706i | ||||
\(862\) | −15.8488 | − | 4.24668i | −0.539813 | − | 0.144642i | ||||
\(863\) | 5.00708 | − | 57.2312i | 0.170443 | − | 1.94817i | −0.123485 | − | 0.992346i | \(-0.539407\pi\) |
0.293928 | − | 0.955828i | \(-0.405037\pi\) | |||||||
\(864\) | −3.81611 | + | 2.67207i | −0.129827 | + | 0.0909057i | ||||
\(865\) | 20.9132 | + | 0.289119i | 0.711072 | + | 0.00983034i | ||||
\(866\) | −8.42864 | − | 18.0753i | −0.286417 | − | 0.614223i | ||||
\(867\) | −10.0377 | − | 21.5259i | −0.340897 | − | 0.731057i | ||||
\(868\) | −8.50877 | + | 1.50033i | −0.288807 | + | 0.0509244i | ||||
\(869\) | −28.7420 | + | 2.51460i | −0.975005 | + | 0.0853019i | ||||
\(870\) | −3.92646 | + | 2.66922i | −0.133119 | + | 0.0904949i | ||||
\(871\) | 9.84681 | − | 14.0627i | 0.333646 | − | 0.476497i | ||||
\(872\) | −13.7443 | + | 6.40907i | −0.465440 | + | 0.217038i | ||||
\(873\) | 7.11573 | − | 19.5503i | 0.240831 | − | 0.661677i | ||||
\(874\) | −32.9207 | + | 8.82108i | −1.11356 | + | 0.298378i | ||||
\(875\) | 30.1124 | + | 6.60750i | 1.01799 | + | 0.223374i | ||||
\(876\) | 4.59517 | + | 5.47631i | 0.155257 | + | 0.185028i | ||||
\(877\) | 10.8871 | − | 40.6312i | 0.367631 | − | 1.37202i | −0.496187 | − | 0.868215i | \(-0.665267\pi\) |
0.863819 | − | 0.503803i | \(-0.168066\pi\) | |||||||
\(878\) | 5.03650 | − | 1.34953i | 0.169974 | − | 0.0455443i | ||||
\(879\) | 0.815469 | + | 4.62475i | 0.0275051 | + | 0.155989i | ||||
\(880\) | 9.45014 | − | 2.39265i | 0.318564 | − | 0.0806562i | ||||
\(881\) | 20.1852 | + | 55.4583i | 0.680055 | + | 1.86844i | 0.441311 | + | 0.897354i | \(0.354513\pi\) |
0.238744 | + | 0.971083i | \(0.423264\pi\) | |||||||
\(882\) | − | 1.32504i | − | 0.0446166i | ||||||
\(883\) | 8.43446 | − | 3.06989i | 0.283842 | − | 0.103310i | −0.196176 | − | 0.980569i | \(-0.562852\pi\) |
0.480018 | + | 0.877259i | \(0.340630\pi\) | |||||||
\(884\) | −7.99154 | − | 1.40912i | −0.268785 | − | 0.0473940i | ||||
\(885\) | 16.0576 | − | 10.9160i | 0.539771 | − | 0.366937i | ||||
\(886\) | 1.26412 | − | 14.4489i | 0.0424688 | − | 0.485421i | ||||
\(887\) | 1.12259 | − | 1.12259i | 0.0376929 | − | 0.0376929i | −0.688009 | − | 0.725702i | \(-0.741515\pi\) |
0.725702 | + | 0.688009i | \(0.241515\pi\) | |||||||
\(888\) | 3.57289 | − | 4.12000i | 0.119898 | − | 0.138258i | ||||
\(889\) | − | 32.5204i | − | 1.09070i | ||||||
\(890\) | 8.07695 | + | 3.06686i | 0.270740 | + | 0.102801i | ||||
\(891\) | 6.75919 | − | 8.05529i | 0.226441 | − | 0.269862i | ||||
\(892\) | 1.87294 | + | 2.67484i | 0.0627107 | + | 0.0895602i | ||||
\(893\) | 16.5345 | + | 45.4281i | 0.553305 | + | 1.52019i | ||||
\(894\) | −14.3929 | − | 14.3929i | −0.481370 | − | 0.481370i | ||||
\(895\) | −9.21809 | + | 10.6823i | −0.308127 | + | 0.357068i | ||||
\(896\) | 2.66346 | + | 0.713671i | 0.0889799 | + | 0.0238421i | ||||
\(897\) | 3.68255 | − | 5.25923i | 0.122957 | − | 0.175600i | ||||
\(898\) | 0.961302 | + | 3.58763i | 0.0320791 | + | 0.119721i | ||||
\(899\) | −3.71042 | − | 6.42664i | −0.123750 | − | 0.214341i | ||||
\(900\) | 1.60717 | + | 10.8628i | 0.0535722 | + | 0.362095i | ||||
\(901\) | −4.14204 | − | 5.91545i | −0.137991 | − | 0.197072i | ||||
\(902\) | 25.4955 | + | 14.7198i | 0.848908 | + | 0.490117i | ||||
\(903\) | −13.5020 | − | 4.91433i | −0.449319 | − | 0.163539i | ||||
\(904\) | −1.29133 | + | 3.54790i | −0.0429490 | + | 0.118001i | ||||
\(905\) | −0.162311 | + | 1.60013i | −0.00539540 | + | 0.0531902i | ||||
\(906\) | 0.764137 | + | 8.73413i | 0.0253868 | + | 0.290172i | ||||
\(907\) | −18.4287 | − | 15.4635i | −0.611916 | − | 0.513458i | 0.283335 | − | 0.959021i | \(-0.408559\pi\) |
−0.895251 | + | 0.445563i | \(0.853004\pi\) | |||||||
\(908\) | −1.16199 | − | 6.58997i | −0.0385620 | − | 0.218696i | ||||
\(909\) | 35.8992 | + | 13.0663i | 1.19070 | + | 0.433380i | ||||
\(910\) | 1.21403 | + | 7.48908i | 0.0402448 | + | 0.248260i | ||||
\(911\) | 0.0554412 | + | 0.206909i | 0.00183685 | + | 0.00685522i | 0.966838 | − | 0.255390i | \(-0.0822038\pi\) |
−0.965001 | + | 0.262245i | \(0.915537\pi\) | |||||||
\(912\) | −5.17050 | − | 0.911698i | −0.171212 | − | 0.0301893i | ||||
\(913\) | 25.7297 | + | 2.25105i | 0.851528 | + | 0.0744990i | ||||
\(914\) | 3.20497 | − | 1.85039i | 0.106011 | − | 0.0612054i | ||||
\(915\) | −11.4394 | − | 11.7601i | −0.378174 | − | 0.388777i | ||||
\(916\) | −14.5454 | + | 2.56474i | −0.480593 | + | 0.0847414i | ||||
\(917\) | −4.55218 | + | 2.62820i | −0.150326 | + | 0.0867910i | ||||
\(918\) | −27.8444 | − | 12.9840i | −0.919001 | − | 0.428537i | ||||
\(919\) | 21.2725 | − | 21.2725i | 0.701714 | − | 0.701714i | −0.263064 | − | 0.964778i | \(-0.584733\pi\) |
0.964778 | + | 0.263064i | \(0.0847331\pi\) | |||||||
\(920\) | −12.9786 | + | 0.954898i | −0.427891 | + | 0.0314821i | ||||
\(921\) | −1.14732 | + | 6.50675i | −0.0378053 | + | 0.214405i | ||||
\(922\) | −0.659015 | − | 7.53257i | −0.0217035 | − | 0.248072i | ||||
\(923\) | −6.43654 | − | 7.67077i | −0.211861 | − | 0.252486i | ||||
\(924\) | 10.7775 | 0.354552 | ||||||||
\(925\) | −11.6310 | − | 28.1020i | −0.382424 | − | 0.923987i | ||||
\(926\) | 9.00097 | 0.295790 | ||||||||
\(927\) | −12.6668 | − | 15.0957i | −0.416032 | − | 0.495808i | ||||
\(928\) | 0.206413 | + | 2.35931i | 0.00677582 | + | 0.0774480i | ||||
\(929\) | −8.78613 | + | 49.8286i | −0.288263 | + | 1.63482i | 0.405126 | + | 0.914261i | \(0.367228\pi\) |
−0.693390 | + | 0.720563i | \(0.743884\pi\) | |||||||
\(930\) | 6.26463 | − | 0.460920i | 0.205425 | − | 0.0151142i | ||||
\(931\) | 2.49834 | − | 2.49834i | 0.0818798 | − | 0.0818798i | ||||
\(932\) | 21.2355 | + | 9.90226i | 0.695591 | + | 0.324359i | ||||
\(933\) | −5.69932 | + | 3.29050i | −0.186587 | + | 0.107726i | ||||
\(934\) | −24.7835 | + | 4.37000i | −0.810941 | + | 0.142991i | ||||
\(935\) | 44.8263 | + | 46.0831i | 1.46598 | + | 1.50708i | ||||
\(936\) | −2.34035 | + | 1.35120i | −0.0764966 | + | 0.0441653i | ||||
\(937\) | −18.3271 | − | 1.60341i | −0.598721 | − | 0.0523813i | −0.216233 | − | 0.976342i | \(-0.569377\pi\) |
−0.382488 | + | 0.923961i | \(0.624933\pi\) | |||||||
\(938\) | −37.8864 | − | 6.68040i | −1.23704 | − | 0.218123i | ||||
\(939\) | 6.26078 | + | 23.3655i | 0.204313 | + | 0.762506i | ||||
\(940\) | 2.95380 | + | 18.2213i | 0.0963424 | + | 0.594313i | ||||
\(941\) | −0.317051 | − | 0.115397i | −0.0103356 | − | 0.00376184i | 0.336847 | − | 0.941559i | \(-0.390639\pi\) |
−0.347183 | + | 0.937797i | \(0.612862\pi\) | |||||||
\(942\) | 0.346971 | + | 1.96777i | 0.0113049 | + | 0.0641133i | ||||
\(943\) | −30.1062 | − | 25.2621i | −0.980393 | − | 0.822647i | ||||
\(944\) | −0.844143 | − | 9.64859i | −0.0274745 | − | 0.314035i | ||||
\(945\) | −2.89876 | + | 28.5773i | −0.0942968 | + | 0.929618i | ||||
\(946\) | −8.66640 | + | 23.8107i | −0.281769 | + | 0.774153i | ||||
\(947\) | 22.8468 | + | 8.31556i | 0.742421 | + | 0.270219i | 0.685413 | − | 0.728154i | \(-0.259622\pi\) |
0.0570082 | + | 0.998374i | \(0.481844\pi\) | |||||||
\(948\) | 5.13839 | + | 2.96665i | 0.166887 | + | 0.0963524i | ||||
\(949\) | 5.62769 | + | 8.03718i | 0.182683 | + | 0.260898i | ||||
\(950\) | −17.4514 | + | 23.5119i | −0.566197 | + | 0.762827i | ||||
\(951\) | 10.0704 | + | 17.4424i | 0.326554 | + | 0.565609i | ||||
\(952\) | 4.70656 | + | 17.5651i | 0.152540 | + | 0.569288i | ||||
\(953\) | 17.8700 | − | 25.5210i | 0.578866 | − | 0.826706i | −0.417779 | − | 0.908549i | \(-0.637191\pi\) |
0.996645 | + | 0.0818422i | \(0.0260803\pi\) | |||||||
\(954\) | −2.32294 | − | 0.622429i | −0.0752078 | − | 0.0201519i | ||||
\(955\) | 8.16643 | − | 9.46355i | 0.264259 | − | 0.306233i | ||||
\(956\) | 1.10631 | + | 1.10631i | 0.0357806 | + | 0.0357806i | ||||
\(957\) | 3.16596 | + | 8.69841i | 0.102341 | + | 0.281180i | ||||
\(958\) | −14.1762 | − | 20.2457i | −0.458013 | − | 0.654110i | ||||
\(959\) | −7.90307 | + | 9.41851i | −0.255203 | + | 0.304140i | ||||
\(960\) | −1.87416 | − | 0.711631i | −0.0604884 | − | 0.0229678i | ||||
\(961\) | − | 21.1819i | − | 0.683287i | ||||||
\(962\) | 5.37787 | − | 5.20570i | 0.173390 | − | 0.167839i | ||||
\(963\) | 22.6996 | − | 22.6996i | 0.731483 | − | 0.731483i | ||||
\(964\) | 2.47327 | − | 28.2696i | 0.0796588 | − | 0.910504i | ||||
\(965\) | 5.13274 | − | 3.48925i | 0.165229 | − | 0.112323i | ||||
\(966\) | −14.1689 | − | 2.49836i | −0.455877 | − | 0.0803835i | ||||
\(967\) | −12.4404 | + | 4.52792i | −0.400055 | + | 0.145608i | −0.534209 | − | 0.845352i | \(-0.679390\pi\) |
0.134154 | + | 0.990960i | \(0.457168\pi\) | |||||||
\(968\) | − | 8.00598i | − | 0.257322i | ||||||
\(969\) | −11.8423 | − | 32.5366i | −0.380431 | − | 1.04522i | ||||
\(970\) | 20.5346 | − | 5.19908i | 0.659325 | − | 0.166932i | ||||
\(971\) | 5.00953 | + | 28.4104i | 0.160763 | + | 0.911734i | 0.953326 | + | 0.301943i | \(0.0976354\pi\) |
−0.792562 | + | 0.609791i | \(0.791253\pi\) | |||||||
\(972\) | −15.5884 | + | 4.17690i | −0.499999 | + | 0.133974i | ||||
\(973\) | 7.63828 | − | 28.5065i | 0.244872 | − | 0.913875i | ||||
\(974\) | −1.87963 | − | 2.24006i | −0.0602273 | − | 0.0717761i | ||||
\(975\) | −0.328655 | − | 5.50606i | −0.0105254 | − | 0.176335i | ||||
\(976\) | −7.90486 | + | 2.11810i | −0.253028 | + | 0.0677988i | ||||
\(977\) | −0.908342 | + | 2.49565i | −0.0290604 | + | 0.0798429i | −0.953374 | − | 0.301790i | \(-0.902416\pi\) |
0.924314 | + | 0.381633i | \(0.124638\pi\) | |||||||
\(978\) | 15.9243 | − | 7.42564i | 0.509204 | − | 0.237446i | ||||
\(979\) | 9.66152 | − | 13.7981i | 0.308783 | − | 0.440988i | ||||
\(980\) | 1.11570 | − | 0.758455i | 0.0356397 | − | 0.0242279i | ||||
\(981\) | −33.1792 | + | 2.90281i | −1.05933 | + | 0.0926795i | ||||
\(982\) | −11.3542 | + | 2.00205i | −0.362326 | + | 0.0638879i | ||||
\(983\) | −2.76618 | − | 5.93209i | −0.0882274 | − | 0.189204i | 0.857243 | − | 0.514912i | \(-0.172175\pi\) |
−0.945471 | + | 0.325707i | \(0.894398\pi\) | |||||||
\(984\) | −2.55862 | − | 5.48697i | −0.0815658 | − | 0.174918i | ||||
\(985\) | −7.97009 | − | 0.110184i | −0.253948 | − | 0.00351075i | ||||
\(986\) | −12.7941 | + | 8.95852i | −0.407447 | + | 0.285297i | ||||
\(987\) | −1.77866 | + | 20.3302i | −0.0566155 | + | 0.647118i | ||||
\(988\) | −6.96032 | − | 1.86501i | −0.221437 | − | 0.0593340i | ||||
\(989\) | 16.9132 | − | 29.2945i | 0.537809 | − | 0.931512i | ||||
\(990\) | 21.3001 | + | 2.16060i | 0.676963 | + | 0.0686684i | ||||
\(991\) | −1.08770 | + | 4.05937i | −0.0345521 | + | 0.128950i | −0.981048 | − | 0.193767i | \(-0.937929\pi\) |
0.946496 | + | 0.322717i | \(0.104596\pi\) | |||||||
\(992\) | 1.32423 | − | 2.83981i | 0.0420442 | − | 0.0901640i | ||||
\(993\) | 4.12128 | 0.130785 | ||||||||
\(994\) | −9.48333 | + | 20.3371i | −0.300793 | + | 0.645053i | ||||
\(995\) | 11.6007 | + | 33.2978i | 0.367767 | + | 1.05561i | ||||
\(996\) | −4.06882 | − | 3.41414i | −0.128925 | − | 0.108181i | ||||
\(997\) | −15.8488 | + | 13.2987i | −0.501936 | + | 0.421174i | −0.858281 | − | 0.513180i | \(-0.828467\pi\) |
0.356345 | + | 0.934354i | \(0.384023\pi\) | |||||||
\(998\) | −9.16555 | − | 9.16555i | −0.290130 | − | 0.290130i | ||||
\(999\) | 24.7680 | − | 13.7676i | 0.783624 | − | 0.435587i |
(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 | 370.2.bd.b.187.6 | yes | 120 | |
5.3 | odd | 4 | 370.2.ba.b.113.5 | ✓ | 120 | ||
37.19 | odd | 36 | 370.2.ba.b.167.5 | yes | 120 | ||
185.93 | even | 36 | inner | 370.2.bd.b.93.6 | yes | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.ba.b.113.5 | ✓ | 120 | 5.3 | odd | 4 | ||
370.2.ba.b.167.5 | yes | 120 | 37.19 | odd | 36 | ||
370.2.bd.b.93.6 | yes | 120 | 185.93 | even | 36 | inner | |
370.2.bd.b.187.6 | yes | 120 | 1.1 | even | 1 | trivial |