Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 106.8 | ||
Character | \(\chi\) | \(=\) | 225.106 |
Dual form | 225.2.q.a.121.8 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.39627 | − | 0.296787i | −0.987314 | − | 0.209860i | −0.314166 | − | 0.949368i | \(-0.601725\pi\) |
−0.673148 | + | 0.739508i | \(0.735058\pi\) | |||||||
\(3\) | −0.399711 | + | 1.68530i | −0.230773 | + | 0.973008i | ||||
\(4\) | 0.0344061 | + | 0.0153186i | 0.0172030 | + | 0.00765928i | ||||
\(5\) | −2.10438 | − | 0.756030i | −0.941108 | − | 0.338107i | ||||
\(6\) | 1.05828 | − | 2.23451i | 0.432041 | − | 0.912234i | ||||
\(7\) | 1.20474 | − | 2.08666i | 0.455348 | − | 0.788685i | −0.543361 | − | 0.839499i | \(-0.682848\pi\) |
0.998708 | + | 0.0508144i | \(0.0161817\pi\) | |||||||
\(8\) | 2.26620 | + | 1.64649i | 0.801221 | + | 0.582121i | ||||
\(9\) | −2.68046 | − | 1.34726i | −0.893487 | − | 0.449088i | ||||
\(10\) | 2.71391 | + | 1.68018i | 0.858214 | + | 0.531319i | ||||
\(11\) | 0.0309094 | + | 0.00656999i | 0.00931953 | + | 0.00198093i | 0.212569 | − | 0.977146i | \(-0.431817\pi\) |
−0.203250 | + | 0.979127i | \(0.565150\pi\) | |||||||
\(12\) | −0.0395688 | + | 0.0518615i | −0.0114225 | + | 0.0149711i | ||||
\(13\) | 6.17253 | − | 1.31201i | 1.71195 | − | 0.363886i | 0.755358 | − | 0.655312i | \(-0.227463\pi\) |
0.956593 | + | 0.291426i | \(0.0941297\pi\) | |||||||
\(14\) | −2.30144 | + | 2.55600i | −0.615085 | + | 0.683121i | ||||
\(15\) | 2.11528 | − | 3.24432i | 0.546163 | − | 0.837679i | ||||
\(16\) | −2.72598 | − | 3.02750i | −0.681494 | − | 0.756876i | ||||
\(17\) | 2.72065 | + | 1.97667i | 0.659854 | + | 0.479412i | 0.866614 | − | 0.498980i | \(-0.166292\pi\) |
−0.206760 | + | 0.978392i | \(0.566292\pi\) | |||||||
\(18\) | 3.34281 | + | 2.67668i | 0.787907 | + | 0.630899i | ||||
\(19\) | 1.81267 | + | 1.31698i | 0.415855 | + | 0.302136i | 0.775968 | − | 0.630772i | \(-0.217262\pi\) |
−0.360113 | + | 0.932909i | \(0.617262\pi\) | |||||||
\(20\) | −0.0608222 | − | 0.0582481i | −0.0136002 | − | 0.0130247i | ||||
\(21\) | 3.03511 | + | 2.86440i | 0.662314 | + | 0.625064i | ||||
\(22\) | −0.0412081 | − | 0.0183470i | −0.00878559 | − | 0.00391160i | ||||
\(23\) | 1.28687 | − | 1.42922i | 0.268331 | − | 0.298012i | −0.593888 | − | 0.804548i | \(-0.702408\pi\) |
0.862219 | + | 0.506536i | \(0.169074\pi\) | |||||||
\(24\) | −3.68065 | + | 3.16110i | −0.751309 | + | 0.645256i | ||||
\(25\) | 3.85684 | + | 3.18195i | 0.771367 | + | 0.636390i | ||||
\(26\) | −9.00793 | −1.76660 | ||||||||
\(27\) | 3.34195 | − | 3.97886i | 0.643159 | − | 0.765733i | ||||
\(28\) | 0.0734149 | − | 0.0533391i | 0.0138741 | − | 0.0100801i | ||||
\(29\) | −0.977408 | − | 9.29942i | −0.181500 | − | 1.72686i | −0.584271 | − | 0.811558i | \(-0.698620\pi\) |
0.402771 | − | 0.915301i | \(-0.368047\pi\) | |||||||
\(30\) | −3.91638 | + | 3.90216i | −0.715030 | + | 0.712435i | ||||
\(31\) | 0.393002 | − | 3.73917i | 0.0705853 | − | 0.671574i | −0.900827 | − | 0.434177i | \(-0.857039\pi\) |
0.971413 | − | 0.237397i | \(-0.0762942\pi\) | |||||||
\(32\) | 0.106511 | + | 0.184482i | 0.0188286 | + | 0.0326121i | ||||
\(33\) | −0.0234272 | + | 0.0494655i | −0.00407816 | + | 0.00861083i | ||||
\(34\) | −3.21212 | − | 3.56742i | −0.550874 | − | 0.611808i | ||||
\(35\) | −4.11281 | + | 3.48032i | −0.695191 | + | 0.588281i | ||||
\(36\) | −0.0715860 | − | 0.0874149i | −0.0119310 | − | 0.0145692i | ||||
\(37\) | 3.22975 | − | 9.94014i | 0.530967 | − | 1.63415i | −0.221238 | − | 0.975220i | \(-0.571010\pi\) |
0.752205 | − | 0.658929i | \(-0.228990\pi\) | |||||||
\(38\) | −2.14012 | − | 2.37684i | −0.347173 | − | 0.385575i | ||||
\(39\) | −0.256096 | + | 10.9270i | −0.0410082 | + | 1.74972i | ||||
\(40\) | −3.52414 | − | 5.17815i | −0.557216 | − | 0.818737i | ||||
\(41\) | −1.58800 | + | 0.337539i | −0.248003 | + | 0.0527147i | −0.330236 | − | 0.943898i | \(-0.607128\pi\) |
0.0822327 | + | 0.996613i | \(0.473795\pi\) | |||||||
\(42\) | −3.38772 | − | 4.90027i | −0.522737 | − | 0.756128i | ||||
\(43\) | −5.58816 | + | 9.67898i | −0.852186 | + | 1.47603i | 0.0270444 | + | 0.999634i | \(0.491390\pi\) |
−0.879231 | + | 0.476396i | \(0.841943\pi\) | |||||||
\(44\) | 0.000962828 | 0 | 0.000699535i | 0.000145152 | 0 | 0.000105459i | ||||
\(45\) | 4.62214 | + | 4.86167i | 0.689028 | + | 0.724735i | ||||
\(46\) | −2.22100 | + | 1.61365i | −0.327468 | + | 0.237919i | ||||
\(47\) | 0.330264 | + | 3.14225i | 0.0481739 | + | 0.458344i | 0.991844 | + | 0.127457i | \(0.0406814\pi\) |
−0.943670 | + | 0.330888i | \(0.892652\pi\) | |||||||
\(48\) | 6.19185 | − | 3.38396i | 0.893716 | − | 0.488432i | ||||
\(49\) | 0.597221 | + | 1.03442i | 0.0853173 | + | 0.147774i | ||||
\(50\) | −4.44084 | − | 5.58753i | −0.628029 | − | 0.790197i | ||||
\(51\) | −4.41875 | + | 3.79501i | −0.618748 | + | 0.531408i | ||||
\(52\) | 0.232471 | + | 0.0494131i | 0.0322379 | + | 0.00685237i | ||||
\(53\) | 1.23376 | − | 0.896379i | 0.169470 | − | 0.123127i | −0.499817 | − | 0.866131i | \(-0.666600\pi\) |
0.669287 | + | 0.743004i | \(0.266600\pi\) | |||||||
\(54\) | −5.84716 | + | 4.56373i | −0.795697 | + | 0.621045i | ||||
\(55\) | −0.0600780 | − | 0.0371942i | −0.00810092 | − | 0.00501527i | ||||
\(56\) | 6.16584 | − | 2.74521i | 0.823945 | − | 0.366844i | ||||
\(57\) | −2.94405 | + | 2.52848i | −0.389949 | + | 0.334905i | ||||
\(58\) | −1.39522 | + | 13.2746i | −0.183201 | + | 1.74304i | ||||
\(59\) | 12.5447 | − | 2.66646i | 1.63318 | − | 0.347144i | 0.702136 | − | 0.712043i | \(-0.252230\pi\) |
0.931047 | + | 0.364899i | \(0.118897\pi\) | |||||||
\(60\) | 0.122477 | − | 0.0792211i | 0.0158117 | − | 0.0102274i | ||||
\(61\) | −10.3888 | − | 2.20821i | −1.33015 | − | 0.282732i | −0.512619 | − | 0.858616i | \(-0.671325\pi\) |
−0.817532 | + | 0.575884i | \(0.804658\pi\) | |||||||
\(62\) | −1.65848 | + | 5.10426i | −0.210627 | + | 0.648242i | ||||
\(63\) | −6.04054 | + | 3.97013i | −0.761036 | + | 0.500189i | ||||
\(64\) | 2.42385 | + | 7.45983i | 0.302981 | + | 0.932479i | ||||
\(65\) | −13.9813 | − | 1.90565i | −1.73416 | − | 0.236366i | ||||
\(66\) | 0.0473915 | − | 0.0621144i | 0.00583349 | − | 0.00764576i | ||||
\(67\) | 0.237987 | − | 2.26429i | 0.0290747 | − | 0.276627i | −0.970320 | − | 0.241826i | \(-0.922254\pi\) |
0.999394 | − | 0.0348011i | \(-0.0110798\pi\) | |||||||
\(68\) | 0.0633271 | + | 0.109686i | 0.00767954 | + | 0.0133014i | ||||
\(69\) | 1.89428 | + | 2.74004i | 0.228044 | + | 0.329861i | ||||
\(70\) | 6.77551 | − | 3.63885i | 0.809829 | − | 0.434926i | ||||
\(71\) | −3.63556 | + | 2.64139i | −0.431462 | + | 0.313475i | −0.782233 | − | 0.622986i | \(-0.785919\pi\) |
0.350771 | + | 0.936461i | \(0.385919\pi\) | |||||||
\(72\) | −3.85620 | − | 7.46651i | −0.454457 | − | 0.879937i | ||||
\(73\) | 0.380414 | + | 1.17080i | 0.0445241 | + | 0.137031i | 0.970847 | − | 0.239698i | \(-0.0770486\pi\) |
−0.926323 | + | 0.376730i | \(0.877049\pi\) | |||||||
\(74\) | −7.45971 | + | 12.9206i | −0.867174 | + | 1.50199i | ||||
\(75\) | −6.90416 | + | 5.22806i | −0.797223 | + | 0.603684i | ||||
\(76\) | 0.0421926 | + | 0.0730797i | 0.00483982 | + | 0.00838281i | ||||
\(77\) | 0.0509470 | − | 0.0565824i | 0.00580595 | − | 0.00644817i | ||||
\(78\) | 3.60057 | − | 15.1810i | 0.407684 | − | 1.71891i | ||||
\(79\) | −0.0961757 | − | 0.915050i | −0.0108206 | − | 0.102951i | 0.987779 | − | 0.155864i | \(-0.0498161\pi\) |
−0.998599 | + | 0.0529128i | \(0.983149\pi\) | |||||||
\(80\) | 3.44761 | + | 8.43194i | 0.385454 | + | 0.942719i | ||||
\(81\) | 5.36976 | + | 7.22258i | 0.596640 | + | 0.802509i | ||||
\(82\) | 2.31745 | 0.255920 | ||||||||
\(83\) | 5.07918 | − | 2.26140i | 0.557512 | − | 0.248220i | −0.108583 | − | 0.994087i | \(-0.534631\pi\) |
0.666095 | + | 0.745867i | \(0.267965\pi\) | |||||||
\(84\) | 0.0605475 | + | 0.145046i | 0.00660628 | + | 0.0158259i | ||||
\(85\) | −4.23086 | − | 6.21655i | −0.458901 | − | 0.674280i | ||||
\(86\) | 10.6752 | − | 11.8560i | 1.15114 | − | 1.27847i | ||||
\(87\) | 16.0630 | + | 2.06986i | 1.72213 | + | 0.221912i | ||||
\(88\) | 0.0592293 | + | 0.0657808i | 0.00631387 | + | 0.00701226i | ||||
\(89\) | −0.932477 | − | 2.86987i | −0.0988424 | − | 0.304206i | 0.889394 | − | 0.457142i | \(-0.151127\pi\) |
−0.988236 | + | 0.152937i | \(0.951127\pi\) | |||||||
\(90\) | −5.01089 | − | 8.16001i | −0.528194 | − | 0.860141i | ||||
\(91\) | 4.69854 | − | 14.4606i | 0.492541 | − | 1.51589i | ||||
\(92\) | 0.0661697 | − | 0.0294607i | 0.00689867 | − | 0.00307149i | ||||
\(93\) | 6.14453 | + | 2.15691i | 0.637158 | + | 0.223661i | ||||
\(94\) | 0.471441 | − | 4.48546i | 0.0486254 | − | 0.462640i | ||||
\(95\) | −2.81887 | − | 4.14186i | −0.289210 | − | 0.424946i | ||||
\(96\) | −0.353480 | + | 0.105763i | −0.0360769 | + | 0.0107944i | ||||
\(97\) | 1.08643 | + | 10.3367i | 0.110310 | + | 1.04953i | 0.899959 | + | 0.435974i | \(0.143596\pi\) |
−0.789649 | + | 0.613559i | \(0.789737\pi\) | |||||||
\(98\) | −0.526882 | − | 1.62158i | −0.0532232 | − | 0.163804i | ||||
\(99\) | −0.0739999 | − | 0.0592538i | −0.00743727 | − | 0.00595523i | ||||
\(100\) | 0.0839556 | + | 0.168560i | 0.00839556 | + | 0.0168560i | ||||
\(101\) | 2.74091 | − | 4.74740i | 0.272731 | − | 0.472384i | −0.696829 | − | 0.717237i | \(-0.745406\pi\) |
0.969560 | + | 0.244853i | \(0.0787398\pi\) | |||||||
\(102\) | 7.29609 | − | 3.98744i | 0.722420 | − | 0.394816i | ||||
\(103\) | −1.67428 | − | 0.745436i | −0.164971 | − | 0.0734500i | 0.322590 | − | 0.946539i | \(-0.395447\pi\) |
−0.487561 | + | 0.873089i | \(0.662113\pi\) | |||||||
\(104\) | 16.1484 | + | 7.18972i | 1.58348 | + | 0.705010i | ||||
\(105\) | −4.22144 | − | 8.32243i | −0.411971 | − | 0.812186i | ||||
\(106\) | −1.98870 | + | 0.885426i | −0.193160 | + | 0.0860002i | ||||
\(107\) | 18.4750 | 1.78604 | 0.893021 | − | 0.450014i | \(-0.148581\pi\) | ||||
0.893021 | + | 0.450014i | \(0.148581\pi\) | |||||||
\(108\) | 0.175934 | − | 0.0857031i | 0.0169293 | − | 0.00824678i | ||||
\(109\) | 1.39665 | − | 4.29846i | 0.133775 | − | 0.411718i | −0.861622 | − | 0.507550i | \(-0.830551\pi\) |
0.995397 | + | 0.0958324i | \(0.0305513\pi\) | |||||||
\(110\) | 0.0728466 | + | 0.0697637i | 0.00694565 | + | 0.00665170i | ||||
\(111\) | 15.4611 | + | 9.41627i | 1.46751 | + | 0.893753i | ||||
\(112\) | −9.60146 | + | 2.04085i | −0.907253 | + | 0.192843i | ||||
\(113\) | −3.64667 | + | 0.775123i | −0.343050 | + | 0.0729175i | −0.376215 | − | 0.926532i | \(-0.622775\pi\) |
0.0331652 | + | 0.999450i | \(0.489441\pi\) | |||||||
\(114\) | 4.86112 | − | 2.65669i | 0.455286 | − | 0.248822i | ||||
\(115\) | −3.78860 | + | 2.03470i | −0.353288 | + | 0.189737i | ||||
\(116\) | 0.108825 | − | 0.334929i | 0.0101041 | − | 0.0310974i | ||||
\(117\) | −18.3129 | − | 4.79923i | −1.69302 | − | 0.443689i | ||||
\(118\) | −18.3072 | −1.68532 | ||||||||
\(119\) | 7.40230 | − | 3.29572i | 0.678568 | − | 0.302118i | ||||
\(120\) | 10.1354 | − | 3.86947i | 0.925228 | − | 0.353233i | ||||
\(121\) | −10.0481 | − | 4.47370i | −0.913463 | − | 0.406700i | ||||
\(122\) | 13.8503 | + | 6.16653i | 1.25394 | + | 0.558291i | ||||
\(123\) | 0.0658854 | − | 2.81116i | 0.00594069 | − | 0.253474i | ||||
\(124\) | 0.0708003 | − | 0.122630i | 0.00635806 | − | 0.0110125i | ||||
\(125\) | −5.71060 | − | 9.61192i | −0.510772 | − | 0.859716i | ||||
\(126\) | 9.61253 | − | 3.75063i | 0.856352 | − | 0.334133i | ||||
\(127\) | 3.06084 | + | 9.42031i | 0.271606 | + | 0.835917i | 0.990098 | + | 0.140381i | \(0.0448329\pi\) |
−0.718492 | + | 0.695536i | \(0.755167\pi\) | |||||||
\(128\) | −1.21490 | − | 11.5590i | −0.107383 | − | 1.02168i | ||||
\(129\) | −14.0783 | − | 13.2865i | −1.23953 | − | 1.16981i | ||||
\(130\) | 18.9561 | + | 6.81026i | 1.66256 | + | 0.597300i | ||||
\(131\) | −0.0925641 | + | 0.880688i | −0.00808736 | + | 0.0769461i | −0.997821 | − | 0.0659772i | \(-0.978984\pi\) |
0.989734 | + | 0.142923i | \(0.0456502\pi\) | |||||||
\(132\) | −0.00156378 | + | 0.00134304i | −0.000136109 | + | 0.000116897i | ||||
\(133\) | 4.93189 | − | 2.19582i | 0.427649 | − | 0.190402i | ||||
\(134\) | −1.00431 | + | 3.09094i | −0.0867590 | + | 0.267017i | ||||
\(135\) | −10.0409 | + | 5.84642i | −0.864182 | + | 0.503180i | ||||
\(136\) | 2.91097 | + | 8.95903i | 0.249613 | + | 0.768230i | ||||
\(137\) | −7.48952 | − | 8.31795i | −0.639873 | − | 0.710650i | 0.332757 | − | 0.943013i | \(-0.392021\pi\) |
−0.972629 | + | 0.232362i | \(0.925355\pi\) | |||||||
\(138\) | −1.83172 | − | 4.38804i | −0.155927 | − | 0.373534i | ||||
\(139\) | −0.0269569 | + | 0.0299387i | −0.00228645 | + | 0.00253936i | −0.744287 | − | 0.667860i | \(-0.767211\pi\) |
0.742001 | + | 0.670399i | \(0.233877\pi\) | |||||||
\(140\) | −0.194819 | + | 0.0567418i | −0.0164652 | + | 0.00479556i | ||||
\(141\) | −5.42764 | − | 0.699399i | −0.457090 | − | 0.0589000i | ||||
\(142\) | 5.86017 | − | 2.60912i | 0.491775 | − | 0.218952i | ||||
\(143\) | 0.199409 | 0.0166754 | ||||||||
\(144\) | 3.22803 | + | 11.7877i | 0.269002 | + | 0.982310i | ||||
\(145\) | −4.97380 | + | 20.3085i | −0.413052 | + | 1.68653i | ||||
\(146\) | −0.183686 | − | 1.74765i | −0.0152019 | − | 0.144637i | ||||
\(147\) | −1.98202 | + | 0.593028i | −0.163474 | + | 0.0489121i | ||||
\(148\) | 0.263392 | − | 0.292526i | 0.0216506 | − | 0.0240455i | ||||
\(149\) | 4.04741 | + | 7.01032i | 0.331577 | + | 0.574308i | 0.982821 | − | 0.184560i | \(-0.0590861\pi\) |
−0.651245 | + | 0.758868i | \(0.725753\pi\) | |||||||
\(150\) | 11.1917 | − | 5.25074i | 0.913799 | − | 0.428721i | ||||
\(151\) | −4.63305 | + | 8.02468i | −0.377032 | + | 0.653039i | −0.990629 | − | 0.136580i | \(-0.956389\pi\) |
0.613597 | + | 0.789620i | \(0.289722\pi\) | |||||||
\(152\) | 1.93947 | + | 5.96908i | 0.157312 | + | 0.484156i | ||||
\(153\) | −4.62950 | − | 8.96381i | −0.374273 | − | 0.724681i | ||||
\(154\) | −0.0879289 | + | 0.0638841i | −0.00708552 | + | 0.00514793i | ||||
\(155\) | −3.65395 | + | 7.57151i | −0.293492 | + | 0.608158i | ||||
\(156\) | −0.176197 | + | 0.372031i | −0.0141070 | + | 0.0297863i | ||||
\(157\) | −5.80545 | − | 10.0553i | −0.463326 | − | 0.802503i | 0.535799 | − | 0.844346i | \(-0.320011\pi\) |
−0.999124 | + | 0.0418424i | \(0.986677\pi\) | |||||||
\(158\) | −0.137288 | + | 1.30620i | −0.0109220 | + | 0.103916i | ||||
\(159\) | 1.01752 | + | 2.43755i | 0.0806945 | + | 0.193310i | ||||
\(160\) | −0.0846650 | − | 0.468745i | −0.00669335 | − | 0.0370575i | ||||
\(161\) | −1.43195 | − | 4.40710i | −0.112854 | − | 0.347328i | ||||
\(162\) | −5.35408 | − | 11.6784i | −0.420656 | − | 0.917540i | ||||
\(163\) | −1.85642 | + | 5.71348i | −0.145406 | + | 0.447515i | −0.997063 | − | 0.0765854i | \(-0.975598\pi\) |
0.851657 | + | 0.524100i | \(0.175598\pi\) | |||||||
\(164\) | −0.0598073 | − | 0.0127124i | −0.00467016 | − | 0.000992674i | ||||
\(165\) | 0.0866972 | − | 0.0863825i | 0.00674937 | − | 0.00672487i | ||||
\(166\) | −7.76307 | + | 1.65009i | −0.602531 | + | 0.128072i | ||||
\(167\) | −1.41337 | + | 13.4473i | −0.109370 | + | 1.04058i | 0.792882 | + | 0.609375i | \(0.208580\pi\) |
−0.902252 | + | 0.431209i | \(0.858087\pi\) | |||||||
\(168\) | 2.16194 | + | 11.4886i | 0.166797 | + | 0.886362i | ||||
\(169\) | 24.5026 | − | 10.9093i | 1.88482 | − | 0.839175i | ||||
\(170\) | 4.06245 | + | 9.93567i | 0.311575 | + | 0.762031i | ||||
\(171\) | −3.08447 | − | 5.97227i | −0.235875 | − | 0.456711i | ||||
\(172\) | −0.340535 | + | 0.247413i | −0.0259655 | + | 0.0188651i | ||||
\(173\) | 6.61768 | + | 1.40663i | 0.503133 | + | 0.106944i | 0.452484 | − | 0.891772i | \(-0.350538\pi\) |
0.0506485 | + | 0.998717i | \(0.483871\pi\) | |||||||
\(174\) | −21.8140 | − | 7.65737i | −1.65372 | − | 0.580504i | ||||
\(175\) | 11.2861 | − | 4.21451i | 0.853152 | − | 0.318587i | ||||
\(176\) | −0.0643676 | − | 0.111488i | −0.00485189 | − | 0.00840372i | ||||
\(177\) | −0.520476 | + | 22.2074i | −0.0391214 | + | 1.66921i | ||||
\(178\) | 0.450253 | + | 4.28387i | 0.0337479 | + | 0.321090i | ||||
\(179\) | 5.82355 | − | 4.23106i | 0.435272 | − | 0.316244i | −0.348481 | − | 0.937316i | \(-0.613302\pi\) |
0.783754 | + | 0.621072i | \(0.213302\pi\) | |||||||
\(180\) | 0.0845559 | + | 0.238075i | 0.00630242 | + | 0.0177451i | ||||
\(181\) | −5.56870 | − | 4.04590i | −0.413918 | − | 0.300729i | 0.361268 | − | 0.932462i | \(-0.382344\pi\) |
−0.775186 | + | 0.631733i | \(0.782344\pi\) | |||||||
\(182\) | −10.8522 | + | 18.7965i | −0.804417 | + | 1.39329i | ||||
\(183\) | 7.87402 | − | 16.6256i | 0.582064 | − | 1.22900i | ||||
\(184\) | 5.26949 | − | 1.12006i | 0.388472 | − | 0.0825722i | ||||
\(185\) | −14.3117 | + | 18.4760i | −1.05221 | + | 1.35839i | ||||
\(186\) | −7.93929 | − | 4.83525i | −0.582137 | − | 0.354538i | ||||
\(187\) | 0.0711069 | + | 0.0789722i | 0.00519985 | + | 0.00577502i | ||||
\(188\) | −0.0367717 | + | 0.113172i | −0.00268185 | + | 0.00825389i | ||||
\(189\) | −4.27638 | − | 11.7670i | −0.311061 | − | 0.855924i | ||||
\(190\) | 2.70666 | + | 6.61978i | 0.196362 | + | 0.480249i | ||||
\(191\) | 7.55661 | + | 8.39246i | 0.546777 | + | 0.607257i | 0.951676 | − | 0.307104i | \(-0.0993600\pi\) |
−0.404899 | + | 0.914361i | \(0.632693\pi\) | |||||||
\(192\) | −13.5409 | + | 1.10313i | −0.977229 | + | 0.0796114i | ||||
\(193\) | 11.1617 | + | 19.3326i | 0.803434 | + | 1.39159i | 0.917343 | + | 0.398098i | \(0.130330\pi\) |
−0.113909 | + | 0.993491i | \(0.536337\pi\) | |||||||
\(194\) | 1.55084 | − | 14.7553i | 0.111344 | − | 1.05937i | ||||
\(195\) | 8.80005 | − | 22.8009i | 0.630185 | − | 1.63281i | ||||
\(196\) | 0.00470224 | + | 0.0447388i | 0.000335874 | + | 0.00319563i | ||||
\(197\) | −21.1964 | + | 15.4001i | −1.51018 | + | 1.09721i | −0.544083 | + | 0.839031i | \(0.683122\pi\) |
−0.966097 | + | 0.258179i | \(0.916878\pi\) | |||||||
\(198\) | 0.0857384 | + | 0.104697i | 0.00609316 | + | 0.00744047i | ||||
\(199\) | −16.6094 | −1.17741 | −0.588703 | − | 0.808349i | \(-0.700361\pi\) | ||||
−0.588703 | + | 0.808349i | \(0.700361\pi\) | |||||||
\(200\) | 3.50130 | + | 13.5612i | 0.247580 | + | 0.958919i | ||||
\(201\) | 3.72088 | + | 1.30614i | 0.262451 | + | 0.0921281i | ||||
\(202\) | −5.23603 | + | 5.81520i | −0.368406 | + | 0.409156i | ||||
\(203\) | −20.5823 | − | 9.16383i | −1.44459 | − | 0.643174i | ||||
\(204\) | −0.210166 | + | 0.0628825i | −0.0147145 | + | 0.00440265i | ||||
\(205\) | 3.59694 | + | 0.490262i | 0.251221 | + | 0.0342414i | ||||
\(206\) | 2.11651 | + | 1.53774i | 0.147464 | + | 0.107139i | ||||
\(207\) | −5.37494 | + | 2.09720i | −0.373584 | + | 0.145766i | ||||
\(208\) | −20.7983 | − | 15.1108i | −1.44210 | − | 1.04775i | ||||
\(209\) | 0.0473760 | + | 0.0526163i | 0.00327706 | + | 0.00363955i | ||||
\(210\) | 3.42430 | + | 12.8733i | 0.236299 | + | 0.888339i | ||||
\(211\) | −6.43842 | + | 7.15059i | −0.443239 | + | 0.492267i | −0.922820 | − | 0.385231i | \(-0.874122\pi\) |
0.479581 | + | 0.877498i | \(0.340789\pi\) | |||||||
\(212\) | 0.0561800 | − | 0.0119414i | 0.00385846 | − | 0.000820141i | ||||
\(213\) | −2.99836 | − | 7.18280i | −0.205444 | − | 0.492158i | ||||
\(214\) | −25.7961 | − | 5.48313i | −1.76339 | − | 0.374819i | ||||
\(215\) | 19.0772 | − | 16.1434i | 1.30106 | − | 1.10097i | ||||
\(216\) | 14.1247 | − | 3.51440i | 0.961062 | − | 0.239125i | ||||
\(217\) | −7.32892 | − | 5.32477i | −0.497520 | − | 0.361469i | ||||
\(218\) | −3.22584 | + | 5.58731i | −0.218481 | + | 0.378421i | ||||
\(219\) | −2.12520 | + | 0.173132i | −0.143607 | + | 0.0116992i | ||||
\(220\) | −0.00149729 | − | 0.00220002i | −0.000100947 | − | 0.000148325i | ||||
\(221\) | 19.3867 | + | 8.63151i | 1.30409 | + | 0.580618i | ||||
\(222\) | −18.7933 | − | 17.7363i | −1.26133 | − | 1.19039i | ||||
\(223\) | 25.3493 | + | 5.38816i | 1.69752 | + | 0.360818i | 0.952101 | − | 0.305783i | \(-0.0989181\pi\) |
0.745415 | + | 0.666601i | \(0.232251\pi\) | |||||||
\(224\) | 0.513268 | 0.0342942 | ||||||||
\(225\) | −6.05117 | − | 13.7253i | −0.403412 | − | 0.915019i | ||||
\(226\) | 5.32179 | 0.354000 | ||||||||
\(227\) | −19.7314 | − | 4.19403i | −1.30962 | − | 0.278367i | −0.500357 | − | 0.865819i | \(-0.666798\pi\) |
−0.809259 | + | 0.587452i | \(0.800131\pi\) | |||||||
\(228\) | −0.140026 | + | 0.0418963i | −0.00927344 | + | 0.00277465i | ||||
\(229\) | −6.35755 | − | 2.83057i | −0.420119 | − | 0.187049i | 0.185779 | − | 0.982592i | \(-0.440519\pi\) |
−0.605898 | + | 0.795543i | \(0.707186\pi\) | |||||||
\(230\) | 5.89379 | − | 1.71659i | 0.388625 | − | 0.113189i | ||||
\(231\) | 0.0749942 | + | 0.108478i | 0.00493426 | + | 0.00713730i | ||||
\(232\) | 13.0964 | − | 22.6836i | 0.859820 | − | 1.48925i | ||||
\(233\) | −22.8409 | − | 16.5949i | −1.49636 | − | 1.08717i | −0.971805 | − | 0.235787i | \(-0.924233\pi\) |
−0.524551 | − | 0.851379i | \(-0.675767\pi\) | |||||||
\(234\) | 24.1454 | + | 12.1361i | 1.57843 | + | 0.793359i | ||||
\(235\) | 1.68064 | − | 6.86218i | 0.109633 | − | 0.447639i | ||||
\(236\) | 0.472461 | + | 0.100425i | 0.0307546 | + | 0.00653709i | ||||
\(237\) | 1.58058 | + | 0.203671i | 0.102669 | + | 0.0132298i | ||||
\(238\) | −11.3138 | + | 2.40482i | −0.733363 | + | 0.155881i | ||||
\(239\) | 2.97588 | − | 3.30505i | 0.192494 | − | 0.213786i | −0.639170 | − | 0.769065i | \(-0.720722\pi\) |
0.831664 | + | 0.555279i | \(0.187389\pi\) | |||||||
\(240\) | −15.5884 | + | 2.43991i | −1.00623 | + | 0.157495i | ||||
\(241\) | 10.1498 | + | 11.2725i | 0.653804 | + | 0.726123i | 0.975324 | − | 0.220780i | \(-0.0708602\pi\) |
−0.321519 | + | 0.946903i | \(0.604194\pi\) | |||||||
\(242\) | 12.7021 | + | 9.22865i | 0.816525 | + | 0.593240i | ||||
\(243\) | −14.3186 | + | 6.16270i | −0.918536 | + | 0.395337i | ||||
\(244\) | −0.323612 | − | 0.235118i | −0.0207171 | − | 0.0150519i | ||||
\(245\) | −0.474730 | − | 2.62833i | −0.0303294 | − | 0.167918i | ||||
\(246\) | −0.926311 | + | 3.90560i | −0.0590594 | + | 0.249012i | ||||
\(247\) | 12.9167 | + | 5.75086i | 0.821867 | + | 0.365919i | ||||
\(248\) | 7.04711 | − | 7.82661i | 0.447492 | − | 0.496990i | ||||
\(249\) | 1.78092 | + | 9.46384i | 0.112861 | + | 0.599746i | ||||
\(250\) | 5.12087 | + | 15.1157i | 0.323872 | + | 0.956001i | ||||
\(251\) | −14.0348 | −0.885869 | −0.442935 | − | 0.896554i | \(-0.646063\pi\) | ||||
−0.442935 | + | 0.896554i | \(0.646063\pi\) | |||||||
\(252\) | −0.268648 | + | 0.0440640i | −0.0169232 | + | 0.00277577i | ||||
\(253\) | 0.0491663 | − | 0.0357214i | 0.00309106 | − | 0.00224579i | ||||
\(254\) | −1.47795 | − | 14.0617i | −0.0927347 | − | 0.882312i | ||||
\(255\) | 12.1679 | − | 4.64544i | 0.761981 | − | 0.290909i | ||||
\(256\) | −0.0944491 | + | 0.898623i | −0.00590307 | + | 0.0561639i | ||||
\(257\) | −4.76132 | − | 8.24684i | −0.297003 | − | 0.514424i | 0.678446 | − | 0.734650i | \(-0.262654\pi\) |
−0.975449 | + | 0.220226i | \(0.929320\pi\) | |||||||
\(258\) | 15.7139 | + | 22.7299i | 0.978306 | + | 1.41510i | ||||
\(259\) | −16.8507 | − | 18.7146i | −1.04705 | − | 1.16287i | ||||
\(260\) | −0.451849 | − | 0.279739i | −0.0280225 | − | 0.0173487i | ||||
\(261\) | −9.90887 | + | 26.2436i | −0.613344 | + | 1.62444i | ||||
\(262\) | 0.390622 | − | 1.20221i | 0.0241327 | − | 0.0742728i | ||||
\(263\) | 16.2416 | + | 18.0382i | 1.00150 | + | 1.11228i | 0.993673 | + | 0.112312i | \(0.0358256\pi\) |
0.00782953 | + | 0.999969i | \(0.497508\pi\) | |||||||
\(264\) | −0.134535 | + | 0.0735258i | −0.00828006 | + | 0.00452520i | ||||
\(265\) | −3.27399 | + | 0.953563i | −0.201120 | + | 0.0585769i | ||||
\(266\) | −7.53795 | + | 1.60224i | −0.462182 | + | 0.0982397i | ||||
\(267\) | 5.20931 | − | 0.424384i | 0.318804 | − | 0.0259719i | ||||
\(268\) | 0.0428739 | − | 0.0742598i | 0.00261894 | − | 0.00453614i | ||||
\(269\) | −12.9182 | − | 9.38564i | −0.787638 | − | 0.572252i | 0.119624 | − | 0.992819i | \(-0.461831\pi\) |
−0.907262 | + | 0.420567i | \(0.861831\pi\) | |||||||
\(270\) | 15.7550 | − | 5.18320i | 0.958816 | − | 0.315440i | ||||
\(271\) | 11.6010 | − | 8.42860i | 0.704709 | − | 0.512001i | −0.176754 | − | 0.984255i | \(-0.556560\pi\) |
0.881462 | + | 0.472254i | \(0.156560\pi\) | |||||||
\(272\) | −1.43206 | − | 13.6251i | −0.0868312 | − | 0.826144i | ||||
\(273\) | 22.4924 | + | 13.6985i | 1.36130 | + | 0.829072i | ||||
\(274\) | 7.98875 | + | 13.8369i | 0.482618 | + | 0.835919i | ||||
\(275\) | 0.0983071 | + | 0.123692i | 0.00592814 | + | 0.00745888i | ||||
\(276\) | 0.0232012 | + | 0.123291i | 0.00139655 | + | 0.00742127i | ||||
\(277\) | 15.4429 | + | 3.28249i | 0.927874 | + | 0.197226i | 0.646975 | − | 0.762511i | \(-0.276034\pi\) |
0.280900 | + | 0.959737i | \(0.409367\pi\) | |||||||
\(278\) | 0.0465246 | − | 0.0338021i | 0.00279036 | − | 0.00202732i | ||||
\(279\) | −6.09107 | + | 9.49322i | −0.364663 | + | 0.568344i | ||||
\(280\) | −15.0507 | + | 1.11540i | −0.899453 | + | 0.0666580i | ||||
\(281\) | −1.34937 | + | 0.600776i | −0.0804964 | + | 0.0358393i | −0.446590 | − | 0.894739i | \(-0.647362\pi\) |
0.366094 | + | 0.930578i | \(0.380695\pi\) | |||||||
\(282\) | 7.37090 | + | 2.58741i | 0.438931 | + | 0.154078i | ||||
\(283\) | 1.42383 | − | 13.5468i | 0.0846376 | − | 0.805273i | −0.867053 | − | 0.498215i | \(-0.833989\pi\) |
0.951691 | − | 0.307058i | \(-0.0993445\pi\) | |||||||
\(284\) | −0.165548 | + | 0.0351883i | −0.00982345 | + | 0.00208804i | ||||
\(285\) | 8.10701 | − | 3.09509i | 0.480218 | − | 0.183337i | ||||
\(286\) | −0.278430 | − | 0.0591820i | −0.0164639 | − | 0.00349951i | ||||
\(287\) | −1.20879 | + | 3.72026i | −0.0713523 | + | 0.219600i | ||||
\(288\) | −0.0369519 | − | 0.637994i | −0.00217741 | − | 0.0375941i | ||||
\(289\) | −1.75857 | − | 5.41233i | −0.103445 | − | 0.318372i | ||||
\(290\) | 12.9721 | − | 26.8800i | 0.761747 | − | 1.57845i | ||||
\(291\) | −17.8547 | − | 2.30073i | −1.04666 | − | 0.134871i | ||||
\(292\) | −0.00484634 | + | 0.0461099i | −0.000283611 | + | 0.00269838i | ||||
\(293\) | −8.13530 | − | 14.0908i | −0.475270 | − | 0.823191i | 0.524329 | − | 0.851516i | \(-0.324316\pi\) |
−0.999599 | + | 0.0283246i | \(0.990983\pi\) | |||||||
\(294\) | 2.94344 | − | 0.239792i | 0.171665 | − | 0.0139849i | ||||
\(295\) | −28.4148 | − | 3.87293i | −1.65437 | − | 0.225491i | ||||
\(296\) | 23.6856 | − | 17.2086i | 1.37669 | − | 1.00023i | ||||
\(297\) | 0.129439 | − | 0.101028i | 0.00751080 | − | 0.00586222i | ||||
\(298\) | −3.57072 | − | 10.9895i | −0.206846 | − | 0.636607i | ||||
\(299\) | 6.06810 | − | 10.5103i | 0.350927 | − | 0.607824i | ||||
\(300\) | −0.317631 | + | 0.0741152i | −0.0183385 | + | 0.00427904i | ||||
\(301\) | 13.4645 | + | 23.3212i | 0.776082 | + | 1.34421i | ||||
\(302\) | 8.85063 | − | 9.82962i | 0.509296 | − | 0.565631i | ||||
\(303\) | 6.90521 | + | 6.51684i | 0.396694 | + | 0.374383i | ||||
\(304\) | −0.954128 | − | 9.07792i | −0.0547230 | − | 0.520654i | ||||
\(305\) | 20.1925 | + | 12.5012i | 1.15622 | + | 0.715815i | ||||
\(306\) | 3.80371 | + | 13.8899i | 0.217443 | + | 0.794033i | ||||
\(307\) | 14.3507 | 0.819040 | 0.409520 | − | 0.912301i | \(-0.365696\pi\) | ||||
0.409520 | + | 0.912301i | \(0.365696\pi\) | |||||||
\(308\) | 0.00261965 | − | 0.00116634i | 0.000149268 | − | 6.64586e-5i | ||||
\(309\) | 1.92551 | − | 2.52370i | 0.109538 | − | 0.143568i | ||||
\(310\) | 7.34904 | − | 9.48745i | 0.417397 | − | 0.538851i | ||||
\(311\) | −14.9819 | + | 16.6391i | −0.849544 | + | 0.943514i | −0.998975 | − | 0.0452580i | \(-0.985589\pi\) |
0.149431 | + | 0.988772i | \(0.452256\pi\) | |||||||
\(312\) | −18.5715 | + | 24.3410i | −1.05140 | + | 1.37804i | ||||
\(313\) | −16.3521 | − | 18.1608i | −0.924273 | − | 1.02651i | −0.999569 | − | 0.0293476i | \(-0.990657\pi\) |
0.0752966 | − | 0.997161i | \(-0.476010\pi\) | |||||||
\(314\) | 5.12170 | + | 15.7630i | 0.289035 | + | 0.889557i | ||||
\(315\) | 15.7131 | − | 3.78783i | 0.885335 | − | 0.213420i | ||||
\(316\) | 0.0107082 | − | 0.0329566i | 0.000602385 | − | 0.00185395i | ||||
\(317\) | 15.8022 | − | 7.03561i | 0.887542 | − | 0.395159i | 0.0882473 | − | 0.996099i | \(-0.471873\pi\) |
0.799294 | + | 0.600940i | \(0.205207\pi\) | |||||||
\(318\) | −0.697302 | − | 3.70547i | −0.0391028 | − | 0.207792i | ||||
\(319\) | 0.0308860 | − | 0.293861i | 0.00172929 | − | 0.0164531i | ||||
\(320\) | 0.539164 | − | 17.5308i | 0.0301402 | − | 0.980003i | ||||
\(321\) | −7.38465 | + | 31.1358i | −0.412171 | + | 1.73783i | ||||
\(322\) | 0.691428 | + | 6.57850i | 0.0385318 | + | 0.366605i | ||||
\(323\) | 2.32840 | + | 7.16609i | 0.129556 | + | 0.398732i | ||||
\(324\) | 0.0741126 | + | 0.330758i | 0.00411736 | + | 0.0183754i | ||||
\(325\) | 27.9812 | + | 14.5805i | 1.55212 | + | 0.808779i | ||||
\(326\) | 4.28776 | − | 7.42662i | 0.237477 | − | 0.411323i | ||||
\(327\) | 6.68593 | + | 4.07192i | 0.369733 | + | 0.225178i | ||||
\(328\) | −4.15446 | − | 1.84969i | −0.229392 | − | 0.102132i | ||||
\(329\) | 6.95471 | + | 3.09643i | 0.383425 | + | 0.170712i | ||||
\(330\) | −0.146690 | + | 0.0948829i | −0.00807503 | + | 0.00522313i | ||||
\(331\) | −23.9484 | + | 10.6625i | −1.31632 | + | 0.586064i | −0.940237 | − | 0.340522i | \(-0.889396\pi\) |
−0.376084 | + | 0.926585i | \(0.622730\pi\) | |||||||
\(332\) | 0.209396 | 0.0114921 | ||||||||
\(333\) | −22.0492 | + | 22.2928i | −1.20829 | + | 1.22164i | ||||
\(334\) | 5.96444 | − | 18.3567i | 0.326360 | − | 1.00443i | ||||
\(335\) | −2.21269 | + | 4.58501i | −0.120892 | + | 0.250506i | ||||
\(336\) | 0.398362 | − | 16.9971i | 0.0217324 | − | 0.927267i | ||||
\(337\) | −15.7941 | + | 3.35713i | −0.860358 | + | 0.182875i | −0.616905 | − | 0.787038i | \(-0.711614\pi\) |
−0.243453 | + | 0.969913i | \(0.578280\pi\) | |||||||
\(338\) | −37.4501 | + | 7.96027i | −2.03702 | + | 0.432982i | ||||
\(339\) | 0.151299 | − | 6.45555i | 0.00821744 | − | 0.350617i | ||||
\(340\) | −0.0503386 | − | 0.278698i | −0.00272999 | − | 0.0151145i | ||||
\(341\) | 0.0367138 | − | 0.112993i | 0.00198816 | − | 0.00611893i | ||||
\(342\) | 2.53427 | + | 9.25435i | 0.137038 | + | 0.500418i | ||||
\(343\) | 19.7443 | 1.06609 | ||||||||
\(344\) | −28.6002 | + | 12.7336i | −1.54202 | + | 0.686551i | ||||
\(345\) | −1.91473 | − | 7.19821i | −0.103086 | − | 0.387539i | ||||
\(346\) | −8.82262 | − | 3.92808i | −0.474307 | − | 0.211175i | ||||
\(347\) | −17.1275 | − | 7.62567i | −0.919454 | − | 0.409367i | −0.108246 | − | 0.994124i | \(-0.534523\pi\) |
−0.811209 | + | 0.584757i | \(0.801190\pi\) | |||||||
\(348\) | 0.520957 | + | 0.317277i | 0.0279262 | + | 0.0170079i | ||||
\(349\) | −0.899591 | + | 1.55814i | −0.0481540 | + | 0.0834051i | −0.889098 | − | 0.457717i | \(-0.848667\pi\) |
0.840944 | + | 0.541123i | \(0.182000\pi\) | |||||||
\(350\) | −17.0093 | + | 2.53503i | −0.909188 | + | 0.135503i | ||||
\(351\) | 15.4080 | − | 28.9443i | 0.822417 | − | 1.54493i | ||||
\(352\) | 0.00208013 | + | 0.00640199i | 0.000110871 | + | 0.000341227i | ||||
\(353\) | 0.191932 | + | 1.82612i | 0.0102155 | + | 0.0971943i | 0.998442 | − | 0.0558064i | \(-0.0177730\pi\) |
−0.988226 | + | 0.153001i | \(0.951106\pi\) | |||||||
\(354\) | 7.31760 | − | 30.8531i | 0.388926 | − | 1.63983i | ||||
\(355\) | 9.64758 | − | 2.80990i | 0.512040 | − | 0.149134i | ||||
\(356\) | 0.0118794 | − | 0.113025i | 0.000629608 | − | 0.00599032i | ||||
\(357\) | 2.59549 | + | 13.7924i | 0.137368 | + | 0.729973i | ||||
\(358\) | −9.38699 | + | 4.17936i | −0.496118 | + | 0.220886i | ||||
\(359\) | −10.8516 | + | 33.3977i | −0.572724 | + | 1.76266i | 0.0710775 | + | 0.997471i | \(0.477356\pi\) |
−0.643802 | + | 0.765192i | \(0.722644\pi\) | |||||||
\(360\) | 2.47000 | + | 18.6278i | 0.130180 | + | 0.981771i | ||||
\(361\) | −4.31999 | − | 13.2956i | −0.227368 | − | 0.699767i | ||||
\(362\) | 6.57466 | + | 7.30190i | 0.345557 | + | 0.383779i | ||||
\(363\) | 11.5558 | − | 15.1458i | 0.606525 | − | 0.794951i | ||||
\(364\) | 0.383174 | − | 0.425558i | 0.0200838 | − | 0.0223053i | ||||
\(365\) | 0.0846199 | − | 2.75140i | 0.00442921 | − | 0.144015i | ||||
\(366\) | −15.9285 | + | 20.8770i | −0.832598 | + | 1.09126i | ||||
\(367\) | 21.9643 | − | 9.77913i | 1.14653 | − | 0.510466i | 0.256576 | − | 0.966524i | \(-0.417406\pi\) |
0.889950 | + | 0.456058i | \(0.150739\pi\) | |||||||
\(368\) | −7.83493 | −0.408424 | ||||||||
\(369\) | 4.71132 | + | 1.23469i | 0.245261 | + | 0.0642754i | ||||
\(370\) | 25.4664 | − | 21.5501i | 1.32394 | − | 1.12034i | ||||
\(371\) | −0.384087 | − | 3.65434i | −0.0199408 | − | 0.189724i | ||||
\(372\) | 0.178368 | + | 0.168336i | 0.00924796 | + | 0.00872782i | ||||
\(373\) | 1.34951 | − | 1.49879i | 0.0698751 | − | 0.0776042i | −0.707194 | − | 0.707020i | \(-0.750039\pi\) |
0.777069 | + | 0.629416i | \(0.216706\pi\) | |||||||
\(374\) | −0.0758467 | − | 0.131370i | −0.00392194 | − | 0.00679300i | ||||
\(375\) | 18.4815 | − | 5.78208i | 0.954383 | − | 0.298585i | ||||
\(376\) | −4.42524 | + | 7.66473i | −0.228214 | + | 0.395278i | ||||
\(377\) | −18.2340 | − | 56.1186i | −0.939100 | − | 2.89025i | ||||
\(378\) | 2.47870 | + | 17.6991i | 0.127490 | + | 0.910346i | ||||
\(379\) | −15.2526 | + | 11.0817i | −0.783474 | + | 0.569227i | −0.906020 | − | 0.423236i | \(-0.860894\pi\) |
0.122546 | + | 0.992463i | \(0.460894\pi\) | |||||||
\(380\) | −0.0335388 | − | 0.185686i | −0.00172050 | − | 0.00952551i | ||||
\(381\) | −17.0995 | + | 1.39303i | −0.876033 | + | 0.0713673i | ||||
\(382\) | −8.06032 | − | 13.9609i | −0.412402 | − | 0.714301i | ||||
\(383\) | −1.15667 | + | 11.0050i | −0.0591029 | + | 0.562327i | 0.924399 | + | 0.381428i | \(0.124567\pi\) |
−0.983502 | + | 0.180899i | \(0.942099\pi\) | |||||||
\(384\) | 19.9660 | + | 2.57280i | 1.01889 | + | 0.131293i | ||||
\(385\) | −0.149990 | + | 0.0805535i | −0.00764420 | + | 0.00410538i | ||||
\(386\) | −9.84708 | − | 30.3062i | −0.501203 | − | 1.54254i | ||||
\(387\) | 28.0190 | − | 18.4154i | 1.42429 | − | 0.936108i | ||||
\(388\) | −0.120964 | + | 0.372288i | −0.00614100 | + | 0.0189000i | ||||
\(389\) | 21.1676 | + | 4.49931i | 1.07324 | + | 0.228124i | 0.710450 | − | 0.703747i | \(-0.248491\pi\) |
0.362789 | + | 0.931871i | \(0.381825\pi\) | |||||||
\(390\) | −19.0543 | + | 29.2246i | −0.964852 | + | 1.47984i | ||||
\(391\) | 6.32621 | − | 1.34468i | 0.319930 | − | 0.0680032i | ||||
\(392\) | −0.349735 | + | 3.32751i | −0.0176643 | + | 0.168065i | ||||
\(393\) | −1.44722 | − | 0.508019i | −0.0730028 | − | 0.0256262i | ||||
\(394\) | 34.1665 | − | 15.2119i | 1.72128 | − | 0.766365i | ||||
\(395\) | −0.489416 | + | 1.99833i | −0.0246252 | + | 0.100547i | ||||
\(396\) | −0.00163836 | − | 0.00317226i | −8.23309e−5 | − | 0.000159412i | ||||
\(397\) | 6.42510 | − | 4.66811i | 0.322467 | − | 0.234286i | −0.414761 | − | 0.909931i | \(-0.636135\pi\) |
0.737227 | + | 0.675645i | \(0.236135\pi\) | |||||||
\(398\) | 23.1912 | + | 4.92945i | 1.16247 | + | 0.247091i | ||||
\(399\) | 1.72928 | + | 9.18940i | 0.0865722 | + | 0.460045i | ||||
\(400\) | −0.880276 | − | 20.3505i | −0.0440138 | − | 1.01752i | ||||
\(401\) | 6.27204 | + | 10.8635i | 0.313211 | + | 0.542497i | 0.979056 | − | 0.203593i | \(-0.0652621\pi\) |
−0.665845 | + | 0.746090i | \(0.731929\pi\) | |||||||
\(402\) | −4.80773 | − | 2.92804i | −0.239788 | − | 0.146037i | ||||
\(403\) | −2.48001 | − | 23.5957i | −0.123538 | − | 1.17539i | ||||
\(404\) | 0.167027 | − | 0.121352i | 0.00830992 | − | 0.00603751i | ||||
\(405\) | −5.83952 | − | 19.2588i | −0.290168 | − | 0.956976i | ||||
\(406\) | 26.0188 | + | 18.9038i | 1.29129 | + | 0.938178i | ||||
\(407\) | 0.165136 | − | 0.286024i | 0.00818549 | − | 0.0141777i | ||||
\(408\) | −16.2622 | + | 1.32482i | −0.805098 | + | 0.0655885i | ||||
\(409\) | 4.34031 | − | 0.922562i | 0.214615 | − | 0.0456178i | −0.0993494 | − | 0.995053i | \(-0.531676\pi\) |
0.313964 | + | 0.949435i | \(0.398343\pi\) | |||||||
\(410\) | −4.87680 | − | 1.75206i | −0.240848 | − | 0.0865283i | ||||
\(411\) | 17.0119 | − | 9.29729i | 0.839134 | − | 0.458602i | ||||
\(412\) | −0.0461862 | − | 0.0512950i | −0.00227543 | − | 0.00252712i | ||||
\(413\) | 9.54906 | − | 29.3890i | 0.469879 | − | 1.44614i | ||||
\(414\) | 8.12731 | − | 1.33305i | 0.399435 | − | 0.0655160i | ||||
\(415\) | −12.3982 | + | 0.918825i | −0.608604 | + | 0.0451034i | ||||
\(416\) | 0.899481 | + | 0.998975i | 0.0441007 | + | 0.0489788i | ||||
\(417\) | −0.0396806 | − | 0.0573972i | −0.00194317 | − | 0.00281075i | ||||
\(418\) | −0.0505340 | − | 0.0875274i | −0.00247170 | − | 0.00428110i | ||||
\(419\) | 0.767053 | − | 7.29802i | 0.0374730 | − | 0.356532i | −0.959678 | − | 0.281101i | \(-0.909300\pi\) |
0.997151 | − | 0.0754304i | \(-0.0240331\pi\) | |||||||
\(420\) | −0.0177556 | − | 0.351008i | −0.000866385 | − | 0.0171275i | ||||
\(421\) | 0.818284 | + | 7.78545i | 0.0398807 | + | 0.379439i | 0.996199 | + | 0.0871109i | \(0.0277634\pi\) |
−0.956318 | + | 0.292329i | \(0.905570\pi\) | |||||||
\(422\) | 11.1120 | − | 8.07334i | 0.540924 | − | 0.393004i | ||||
\(423\) | 3.34818 | − | 8.86764i | 0.162794 | − | 0.431159i | ||||
\(424\) | 4.27182 | 0.207458 | ||||||||
\(425\) | 4.20344 | + | 16.2807i | 0.203897 | + | 0.789728i | ||||
\(426\) | 2.05477 | + | 10.9190i | 0.0995537 | + | 0.529029i | ||||
\(427\) | −17.1236 | + | 19.0177i | −0.828668 | + | 0.920329i | ||||
\(428\) | 0.635651 | + | 0.283010i | 0.0307254 | + | 0.0136798i | ||||
\(429\) | −0.0797060 | + | 0.336064i | −0.00384824 | + | 0.0162253i | ||||
\(430\) | −31.4282 | + | 16.8788i | −1.51560 | + | 0.813967i | ||||
\(431\) | 10.2026 | + | 7.41261i | 0.491441 | + | 0.357053i | 0.805738 | − | 0.592272i | \(-0.201769\pi\) |
−0.314297 | + | 0.949325i | \(0.601769\pi\) | |||||||
\(432\) | −21.1561 | + | 0.728511i | −1.01787 | + | 0.0350505i | ||||
\(433\) | 30.3440 | + | 22.0462i | 1.45824 | + | 1.05947i | 0.983817 | + | 0.179179i | \(0.0573441\pi\) |
0.474425 | + | 0.880296i | \(0.342656\pi\) | |||||||
\(434\) | 8.65286 | + | 9.60997i | 0.415350 | + | 0.461293i | ||||
\(435\) | −32.2378 | − | 16.4999i | −1.54568 | − | 0.791108i | ||||
\(436\) | 0.113900 | − | 0.126498i | 0.00545480 | − | 0.00605817i | ||||
\(437\) | 4.21492 | − | 0.895910i | 0.201627 | − | 0.0428572i | ||||
\(438\) | 3.01874 | + | 0.388991i | 0.144241 | + | 0.0185867i | ||||
\(439\) | −34.1280 | − | 7.25413i | −1.62884 | − | 0.346221i | −0.699268 | − | 0.714860i | \(-0.746491\pi\) |
−0.929573 | + | 0.368639i | \(0.879824\pi\) | |||||||
\(440\) | −0.0749088 | − | 0.183207i | −0.00357114 | − | 0.00873406i | ||||
\(441\) | −0.207195 | − | 3.57733i | −0.00986642 | − | 0.170349i | ||||
\(442\) | −24.5074 | − | 17.8057i | −1.16570 | − | 0.846929i | ||||
\(443\) | −12.2771 | + | 21.2646i | −0.583304 | + | 1.01031i | 0.411780 | + | 0.911283i | \(0.364907\pi\) |
−0.995085 | + | 0.0990295i | \(0.968426\pi\) | |||||||
\(444\) | 0.387713 | + | 0.560819i | 0.0184000 | + | 0.0266153i | ||||
\(445\) | −0.207421 | + | 6.74428i | −0.00983272 | + | 0.319709i | ||||
\(446\) | −33.7954 | − | 15.0467i | −1.60026 | − | 0.712482i | ||||
\(447\) | −13.4323 | + | 4.01899i | −0.635325 | + | 0.190092i | ||||
\(448\) | 18.4863 | + | 3.92938i | 0.873394 | + | 0.185646i | ||||
\(449\) | 5.69752 | 0.268882 | 0.134441 | − | 0.990922i | \(-0.457076\pi\) | ||||
0.134441 | + | 0.990922i | \(0.457076\pi\) | |||||||
\(450\) | 4.37561 | + | 20.9602i | 0.206268 | + | 0.988071i | ||||
\(451\) | −0.0513016 | −0.00241570 | ||||||||
\(452\) | −0.137341 | − | 0.0291928i | −0.00645999 | − | 0.00137311i | ||||
\(453\) | −11.6721 | − | 11.0156i | −0.548403 | − | 0.517559i | ||||
\(454\) | 26.3056 | + | 11.7120i | 1.23458 | + | 0.549672i | ||||
\(455\) | −20.8202 | + | 26.8784i | −0.976065 | + | 1.26008i | ||||
\(456\) | −10.8349 | + | 0.882682i | −0.507391 | + | 0.0413354i | ||||
\(457\) | −14.9907 | + | 25.9647i | −0.701238 | + | 1.21458i | 0.266795 | + | 0.963753i | \(0.414035\pi\) |
−0.968032 | + | 0.250826i | \(0.919298\pi\) | |||||||
\(458\) | 8.03681 | + | 5.83908i | 0.375535 | + | 0.272842i | ||||
\(459\) | 16.9572 | − | 4.21916i | 0.791493 | − | 0.196933i | ||||
\(460\) | −0.161519 | + | 0.0119701i | −0.00753088 | + | 0.000558110i | ||||
\(461\) | 4.85788 | + | 1.03257i | 0.226254 | + | 0.0480917i | 0.319643 | − | 0.947538i | \(-0.396437\pi\) |
−0.0933896 | + | 0.995630i | \(0.529770\pi\) | |||||||
\(462\) | −0.0725176 | − | 0.173722i | −0.00337383 | − | 0.00808226i | ||||
\(463\) | −11.1874 | + | 2.37795i | −0.519922 | + | 0.110513i | −0.460396 | − | 0.887714i | \(-0.652292\pi\) |
−0.0595266 | + | 0.998227i | \(0.518959\pi\) | |||||||
\(464\) | −25.4896 | + | 28.3091i | −1.18333 | + | 1.31422i | ||||
\(465\) | −11.2997 | − | 9.18441i | −0.524012 | − | 0.425917i | ||||
\(466\) | 26.9670 | + | 29.9498i | 1.24922 | + | 1.38740i | ||||
\(467\) | 21.2823 | + | 15.4625i | 0.984827 | + | 0.715518i | 0.958782 | − | 0.284142i | \(-0.0917088\pi\) |
0.0260445 | + | 0.999661i | \(0.491709\pi\) | |||||||
\(468\) | −0.556556 | − | 0.445649i | −0.0257268 | − | 0.0206002i | ||||
\(469\) | −4.43811 | − | 3.22447i | −0.204933 | − | 0.148892i | ||||
\(470\) | −4.38324 | + | 9.08269i | −0.202184 | + | 0.418953i | ||||
\(471\) | 19.2668 | − | 5.76469i | 0.887765 | − | 0.265623i | ||||
\(472\) | 32.8191 | + | 14.6120i | 1.51062 | + | 0.672572i | ||||
\(473\) | −0.236317 | + | 0.262457i | −0.0108659 | + | 0.0120678i | ||||
\(474\) | −2.14647 | − | 0.753475i | −0.0985906 | − | 0.0346082i | ||||
\(475\) | 2.80060 | + | 10.8472i | 0.128500 | + | 0.497704i | ||||
\(476\) | 0.305170 | 0.0139874 | ||||||||
\(477\) | −4.51470 | + | 0.740509i | −0.206714 | + | 0.0339056i | ||||
\(478\) | −5.13604 | + | 3.73155i | −0.234917 | + | 0.170677i | ||||
\(479\) | −0.0489279 | − | 0.465517i | −0.00223557 | − | 0.0212700i | 0.993347 | − | 0.115158i | \(-0.0367373\pi\) |
−0.995583 | + | 0.0938875i | \(0.970071\pi\) | |||||||
\(480\) | 0.823816 | + | 0.0446767i | 0.0376019 | + | 0.00203920i | ||||
\(481\) | 6.89413 | − | 65.5932i | 0.314345 | − | 2.99079i | ||||
\(482\) | −10.8263 | − | 18.7518i | −0.493126 | − | 0.854119i | ||||
\(483\) | 7.99964 | − | 0.651703i | 0.363996 | − | 0.0296535i | ||||
\(484\) | −0.277185 | − | 0.307845i | −0.0125993 | − | 0.0139929i | ||||
\(485\) | 5.52859 | − | 22.5737i | 0.251041 | − | 1.02502i | ||||
\(486\) | 21.8216 | − | 4.35525i | 0.989849 | − | 0.197558i | ||||
\(487\) | 1.55836 | − | 4.79614i | 0.0706160 | − | 0.217334i | −0.909520 | − | 0.415660i | \(-0.863551\pi\) |
0.980136 | + | 0.198326i | \(0.0635506\pi\) | |||||||
\(488\) | −19.9073 | − | 22.1093i | −0.901161 | − | 1.00084i | ||||
\(489\) | −8.88689 | − | 5.41237i | −0.401879 | − | 0.244756i | ||||
\(490\) | −0.117200 | + | 3.81075i | −0.00529457 | + | 0.172152i | ||||
\(491\) | 7.35184 | − | 1.56268i | 0.331784 | − | 0.0705228i | −0.0390079 | − | 0.999239i | \(-0.512420\pi\) |
0.370792 | + | 0.928716i | \(0.379086\pi\) | |||||||
\(492\) | 0.0453299 | − | 0.0957118i | 0.00204363 | − | 0.00431502i | ||||
\(493\) | 15.7227 | − | 27.2325i | 0.708113 | − | 1.22649i | ||||
\(494\) | −16.3284 | − | 11.8633i | −0.734649 | − | 0.533754i | ||||
\(495\) | 0.110926 | + | 0.180639i | 0.00498577 | + | 0.00811910i | ||||
\(496\) | −12.3916 | + | 9.00306i | −0.556401 | + | 0.404249i | ||||
\(497\) | 1.13180 | + | 10.7684i | 0.0507683 | + | 0.483028i | ||||
\(498\) | 0.322088 | − | 13.7427i | 0.0144331 | − | 0.615823i | ||||
\(499\) | 4.05527 | + | 7.02394i | 0.181539 | + | 0.314435i | 0.942405 | − | 0.334474i | \(-0.108559\pi\) |
−0.760866 | + | 0.648909i | \(0.775225\pi\) | |||||||
\(500\) | −0.0492384 | − | 0.418187i | −0.00220201 | − | 0.0187019i | ||||
\(501\) | −22.0978 | − | 7.75699i | −0.987257 | − | 0.346557i | ||||
\(502\) | 19.5964 | + | 4.16535i | 0.874631 | + | 0.185909i | ||||
\(503\) | −16.3455 | + | 11.8757i | −0.728812 | + | 0.529513i | −0.889187 | − | 0.457543i | \(-0.848729\pi\) |
0.160376 | + | 0.987056i | \(0.448729\pi\) | |||||||
\(504\) | −20.2258 | − | 0.948588i | −0.900929 | − | 0.0422535i | ||||
\(505\) | −9.35710 | + | 7.91812i | −0.416385 | + | 0.352352i | ||||
\(506\) | −0.0792513 | + | 0.0352850i | −0.00352315 | + | 0.00156861i | ||||
\(507\) | 8.59142 | + | 45.6548i | 0.381558 | + | 2.02760i | ||||
\(508\) | −0.0389940 | + | 0.371003i | −0.00173008 | + | 0.0164606i | ||||
\(509\) | −20.4717 | + | 4.35139i | −0.907392 | + | 0.192872i | −0.637890 | − | 0.770128i | \(-0.720193\pi\) |
−0.269502 | + | 0.963000i | \(0.586859\pi\) | |||||||
\(510\) | −18.3684 | + | 2.87504i | −0.813365 | + | 0.127309i | ||||
\(511\) | 2.90136 | + | 0.616702i | 0.128348 | + | 0.0272813i | ||||
\(512\) | −6.78465 | + | 20.8810i | −0.299842 | + | 0.922819i | ||||
\(513\) | 11.2979 | − | 2.81107i | 0.498817 | − | 0.124112i | ||||
\(514\) | 4.20054 | + | 12.9279i | 0.185278 | + | 0.570227i | ||||
\(515\) | 2.95974 | + | 2.83448i | 0.130422 | + | 0.124902i | ||||
\(516\) | −0.280849 | − | 0.672796i | −0.0123637 | − | 0.0296182i | ||||
\(517\) | −0.0104363 | + | 0.0992949i | −0.000458989 | + | 0.00436699i | ||||
\(518\) | 17.9740 | + | 31.1318i | 0.789731 | + | 1.36785i | ||||
\(519\) | −5.01575 | + | 10.5905i | −0.220167 | + | 0.464872i | ||||
\(520\) | −28.5467 | − | 27.3386i | −1.25185 | − | 1.19888i | ||||
\(521\) | 5.09658 | − | 3.70289i | 0.223285 | − | 0.162226i | −0.470519 | − | 0.882390i | \(-0.655933\pi\) |
0.693804 | + | 0.720164i | \(0.255933\pi\) | |||||||
\(522\) | 21.6243 | − | 33.7024i | 0.946468 | − | 1.47511i | ||||
\(523\) | −6.61794 | − | 20.3679i | −0.289382 | − | 0.890628i | −0.985051 | − | 0.172264i | \(-0.944892\pi\) |
0.695668 | − | 0.718363i | \(-0.255108\pi\) | |||||||
\(524\) | −0.0166756 | + | 0.0288831i | −0.000728479 | + | 0.00126176i | ||||
\(525\) | 2.59152 | + | 20.7051i | 0.113103 | + | 0.903644i | ||||
\(526\) | −17.3243 | − | 30.0065i | −0.755374 | − | 1.30835i | ||||
\(527\) | 8.46031 | − | 9.39612i | 0.368537 | − | 0.409302i | ||||
\(528\) | 0.213619 | − | 0.0639156i | 0.00929657 | − | 0.00278157i | ||||
\(529\) | 2.01754 | + | 19.1956i | 0.0877190 | + | 0.834590i | ||||
\(530\) | 4.85439 | − | 0.359756i | 0.210861 | − | 0.0156268i | ||||
\(531\) | −37.2181 | − | 9.75370i | −1.61513 | − | 0.423275i | ||||
\(532\) | 0.203324 | 0.00881520 | ||||||||
\(533\) | −9.35909 | + | 4.16694i | −0.405387 | + | 0.180490i | ||||
\(534\) | −7.39957 | − | 0.953499i | −0.320211 | − | 0.0412619i | ||||
\(535\) | −38.8784 | − | 13.9676i | −1.68086 | − | 0.603874i | ||||
\(536\) | 4.26746 | − | 4.73949i | 0.184326 | − | 0.204715i | ||||
\(537\) | 4.80286 | + | 11.5056i | 0.207259 | + | 0.496504i | ||||
\(538\) | 15.2518 | + | 16.9389i | 0.657553 | + | 0.730287i | ||||
\(539\) | 0.0116636 | + | 0.0358970i | 0.000502388 | + | 0.00154619i | ||||
\(540\) | −0.435026 | + | 0.0473405i | −0.0187205 | + | 0.00203721i | ||||
\(541\) | 2.06074 | − | 6.34232i | 0.0885983 | − | 0.272678i | −0.896934 | − | 0.442164i | \(-0.854211\pi\) |
0.985533 | + | 0.169486i | \(0.0542109\pi\) | |||||||
\(542\) | −18.6996 | + | 8.32561i | −0.803218 | + | 0.357616i | ||||
\(543\) | 9.04442 | − | 7.76774i | 0.388133 | − | 0.333345i | ||||
\(544\) | −0.0748810 | + | 0.712445i | −0.00321050 | + | 0.0305458i | ||||
\(545\) | −6.18886 | + | 7.98968i | −0.265101 | + | 0.342240i | ||||
\(546\) | −27.3400 | − | 25.8023i | −1.17004 | − | 1.10424i | ||||
\(547\) | 3.31270 | + | 31.5182i | 0.141641 | + | 1.34762i | 0.802293 | + | 0.596930i | \(0.203613\pi\) |
−0.660652 | + | 0.750692i | \(0.729720\pi\) | |||||||
\(548\) | −0.130266 | − | 0.400917i | −0.00556467 | − | 0.0171263i | ||||
\(549\) | 24.8718 | + | 19.9155i | 1.06150 | + | 0.849973i | ||||
\(550\) | −0.100553 | − | 0.201884i | −0.00428762 | − | 0.00860834i | ||||
\(551\) | 10.4754 | − | 18.1440i | 0.446269 | − | 0.772961i | ||||
\(552\) | −0.218629 | + | 9.32836i | −0.00930549 | + | 0.397041i | ||||
\(553\) | −2.02527 | − | 0.901708i | −0.0861232 | − | 0.0383445i | ||||
\(554\) | −20.5883 | − | 9.16651i | −0.874714 | − | 0.389448i | ||||
\(555\) | −25.4171 | − | 31.5045i | −1.07890 | − | 1.33729i | ||||
\(556\) | −0.00138610 | 0.000617131i | −5.87836e−5 | 2.61722e-5i | ||||||
\(557\) | −23.0896 | −0.978337 | −0.489168 | − | 0.872189i | \(-0.662700\pi\) | ||||
−0.489168 | + | 0.872189i | \(0.662700\pi\) | |||||||
\(558\) | 11.3223 | − | 11.4474i | 0.479310 | − | 0.484606i | ||||
\(559\) | −21.7941 | + | 67.0755i | −0.921794 | + | 2.83699i | ||||
\(560\) | 21.7481 | + | 2.96426i | 0.919024 | + | 0.125263i | ||||
\(561\) | −0.161514 | + | 0.0882703i | −0.00681913 | + | 0.00372678i | ||||
\(562\) | 2.06239 | − | 0.438374i | 0.0869965 | − | 0.0184917i | ||||
\(563\) | 35.9249 | − | 7.63606i | 1.51405 | − | 0.321822i | 0.625364 | − | 0.780333i | \(-0.284951\pi\) |
0.888688 | + | 0.458511i | \(0.151617\pi\) | |||||||
\(564\) | −0.176030 | − | 0.107207i | −0.00741220 | − | 0.00451424i | ||||
\(565\) | 8.25999 | + | 1.12584i | 0.347501 | + | 0.0473643i | ||||
\(566\) | −6.00856 | + | 18.4925i | −0.252559 | + | 0.777296i | ||||
\(567\) | 21.5402 | − | 2.50357i | 0.904605 | − | 0.105140i | ||||
\(568\) | −12.5879 | −0.528177 | ||||||||
\(569\) | 14.5741 | − | 6.48879i | 0.610976 | − | 0.272024i | −0.0778335 | − | 0.996966i | \(-0.524800\pi\) |
0.688810 | + | 0.724942i | \(0.258134\pi\) | |||||||
\(570\) | −12.2382 | + | 1.91553i | −0.512601 | + | 0.0802328i | ||||
\(571\) | 2.61629 | + | 1.16485i | 0.109488 | + | 0.0487473i | 0.460750 | − | 0.887530i | \(-0.347581\pi\) |
−0.351262 | + | 0.936277i | \(0.614247\pi\) | |||||||
\(572\) | 0.00686088 | + | 0.00305466i | 0.000286868 | + | 0.000127722i | ||||
\(573\) | −17.1643 | + | 9.38058i | −0.717047 | + | 0.391879i | ||||
\(574\) | 2.79192 | − | 4.83575i | 0.116532 | − | 0.201840i | ||||
\(575\) | 9.51094 | − | 1.41749i | 0.396634 | − | 0.0591133i | ||||
\(576\) | 3.55334 | − | 23.2614i | 0.148056 | − | 0.969223i | ||||
\(577\) | 2.14710 | + | 6.60811i | 0.0893851 | + | 0.275099i | 0.985750 | − | 0.168218i | \(-0.0538014\pi\) |
−0.896365 | + | 0.443318i | \(0.853801\pi\) | |||||||
\(578\) | 0.849139 | + | 8.07902i | 0.0353195 | + | 0.336043i | ||||
\(579\) | −37.0426 | + | 11.0833i | −1.53944 | + | 0.460606i | ||||
\(580\) | −0.482226 | + | 0.622543i | −0.0200233 | + | 0.0258497i | ||||
\(581\) | 1.40030 | − | 13.3229i | 0.0580941 | − | 0.552728i | ||||
\(582\) | 24.2472 | + | 8.51149i | 1.00508 | + | 0.352813i | ||||
\(583\) | 0.0440240 | − | 0.0196007i | 0.00182329 | − | 0.000811779i | ||||
\(584\) | −1.06561 | + | 3.27960i | −0.0440951 | + | 0.135711i | ||||
\(585\) | 34.9089 | + | 23.9445i | 1.44330 | + | 0.989983i | ||||
\(586\) | 7.17715 | + | 22.0890i | 0.296485 | + | 0.912489i | ||||
\(587\) | 0.536376 | + | 0.595706i | 0.0221386 | + | 0.0245874i | 0.754112 | − | 0.656745i | \(-0.228067\pi\) |
−0.731974 | + | 0.681333i | \(0.761401\pi\) | |||||||
\(588\) | −0.0772778 | − | 0.00995792i | −0.00318688 | − | 0.000410658i | ||||
\(589\) | 5.63680 | − | 6.26030i | 0.232260 | − | 0.257951i | ||||
\(590\) | 38.5254 | + | 13.8408i | 1.58606 | + | 0.569817i | ||||
\(591\) | −17.4813 | − | 41.8778i | −0.719085 | − | 1.72262i | ||||
\(592\) | −38.8980 | + | 17.3185i | −1.59870 | + | 0.711786i | ||||
\(593\) | 19.9879 | 0.820804 | 0.410402 | − | 0.911905i | \(-0.365388\pi\) | ||||
0.410402 | + | 0.911905i | \(0.365388\pi\) | |||||||
\(594\) | −0.210716 | + | 0.102646i | −0.00864577 | + | 0.00421163i | ||||
\(595\) | −18.0689 | + | 1.33908i | −0.740754 | + | 0.0548969i | ||||
\(596\) | 0.0318674 | + | 0.303198i | 0.00130534 | + | 0.0124195i | ||||
\(597\) | 6.63895 | − | 27.9917i | 0.271714 | − | 1.14563i | ||||
\(598\) | −11.5920 | + | 12.8743i | −0.474034 | + | 0.526468i | ||||
\(599\) | 1.80743 | + | 3.13056i | 0.0738495 | + | 0.127911i | 0.900585 | − | 0.434679i | \(-0.143138\pi\) |
−0.826736 | + | 0.562590i | \(0.809805\pi\) | |||||||
\(600\) | −24.2541 | + | 0.480198i | −0.990170 | + | 0.0196040i | ||||
\(601\) | 18.5936 | − | 32.2050i | 0.758449 | − | 1.31367i | −0.185193 | − | 0.982702i | \(-0.559291\pi\) |
0.943642 | − | 0.330969i | \(-0.107376\pi\) | |||||||
\(602\) | −11.8787 | − | 36.5589i | −0.484140 | − | 1.49003i | ||||
\(603\) | −3.68852 | + | 5.74872i | −0.150208 | + | 0.234106i | ||||
\(604\) | −0.282332 | + | 0.205126i | −0.0114879 | + | 0.00834646i | ||||
\(605\) | 17.7628 | + | 17.0110i | 0.722159 | + | 0.691596i | ||||
\(606\) | −7.70745 | − | 11.1487i | −0.313094 | − | 0.452884i | ||||
\(607\) | −16.6597 | − | 28.8555i | −0.676197 | − | 1.17121i | −0.976117 | − | 0.217244i | \(-0.930293\pi\) |
0.299920 | − | 0.953964i | \(-0.403040\pi\) | |||||||
\(608\) | −0.0498905 | + | 0.474677i | −0.00202333 | + | 0.0192507i | ||||
\(609\) | 23.6707 | − | 31.0244i | 0.959187 | − | 1.25717i | ||||
\(610\) | −24.4841 | − | 23.4479i | −0.991333 | − | 0.949379i | ||||
\(611\) | 6.16123 | + | 18.9623i | 0.249257 | + | 0.767134i | ||||
\(612\) | −0.0219702 | − | 0.379327i | −0.000888092 | − | 0.0153334i | ||||
\(613\) | 1.94595 | − | 5.98902i | 0.0785962 | − | 0.241894i | −0.904037 | − | 0.427455i | \(-0.859410\pi\) |
0.982633 | + | 0.185561i | \(0.0594102\pi\) | |||||||
\(614\) | −20.0376 | − | 4.25911i | −0.808650 | − | 0.171884i | ||||
\(615\) | −2.26397 | + | 5.86595i | −0.0912922 | + | 0.236538i | ||||
\(616\) | 0.208618 | − | 0.0443432i | 0.00840547 | − | 0.00178664i | ||||
\(617\) | −2.76546 | + | 26.3116i | −0.111333 | + | 1.05927i | 0.786095 | + | 0.618106i | \(0.212100\pi\) |
−0.897428 | + | 0.441160i | \(0.854567\pi\) | |||||||
\(618\) | −3.43754 | + | 2.95230i | −0.138278 | + | 0.118759i | ||||
\(619\) | −14.3187 | + | 6.37507i | −0.575515 | + | 0.256236i | −0.673789 | − | 0.738923i | \(-0.735334\pi\) |
0.0982741 | + | 0.995159i | \(0.468668\pi\) | |||||||
\(620\) | −0.241703 | + | 0.204533i | −0.00970701 | + | 0.00821423i | ||||
\(621\) | −1.38599 | − | 9.89665i | −0.0556178 | − | 0.397139i | ||||
\(622\) | 25.8570 | − | 18.7862i | 1.03677 | − | 0.753260i | ||||
\(623\) | −7.11184 | − | 1.51167i | −0.284930 | − | 0.0605637i | ||||
\(624\) | 33.7796 | − | 29.0113i | 1.35226 | − | 1.16138i | ||||
\(625\) | 4.75037 | + | 24.5445i | 0.190015 | + | 0.981781i | ||||
\(626\) | 17.4420 | + | 30.2105i | 0.697124 | + | 1.20745i | ||||
\(627\) | −0.107611 | + | 0.0588113i | −0.00429757 | + | 0.00234870i | ||||
\(628\) | −0.0457094 | − | 0.434896i | −0.00182400 | − | 0.0173542i | ||||
\(629\) | 28.4353 | − | 20.6595i | 1.13379 | − | 0.823748i | ||||
\(630\) | −23.0640 | + | 0.625389i | −0.918892 | + | 0.0249161i | ||||
\(631\) | 1.57126 | + | 1.14159i | 0.0625508 | + | 0.0454458i | 0.618621 | − | 0.785689i | \(-0.287692\pi\) |
−0.556070 | + | 0.831135i | \(0.687692\pi\) | |||||||
\(632\) | 1.28867 | − | 2.23204i | 0.0512604 | − | 0.0887856i | ||||
\(633\) | −9.47737 | − | 13.7088i | −0.376692 | − | 0.544877i | ||||
\(634\) | −24.1523 | + | 5.13373i | −0.959211 | + | 0.203887i | ||||
\(635\) | 0.680858 | − | 22.1380i | 0.0270190 | − | 0.878520i | ||||
\(636\) | −0.00233089 | + | 0.0994533i | −9.24259e−5 | + | 0.00394358i | ||||
\(637\) | 5.04353 | + | 5.60141i | 0.199832 | + | 0.221936i | ||||
\(638\) | −0.130340 | + | 0.401144i | −0.00516019 | + | 0.0158814i | ||||
\(639\) | 13.3036 | − | 2.18208i | 0.526284 | − | 0.0863219i | ||||
\(640\) | −6.18236 | + | 25.2431i | −0.244379 | + | 0.997822i | ||||
\(641\) | 11.1795 | + | 12.4161i | 0.441563 | + | 0.490405i | 0.922308 | − | 0.386455i | \(-0.126301\pi\) |
−0.480746 | + | 0.876860i | \(0.659634\pi\) | |||||||
\(642\) | 19.5517 | − | 41.2825i | 0.771644 | − | 1.62929i | ||||
\(643\) | 15.9436 | + | 27.6151i | 0.628753 | + | 1.08903i | 0.987802 | + | 0.155713i | \(0.0497676\pi\) |
−0.359050 | + | 0.933319i | \(0.616899\pi\) | |||||||
\(644\) | 0.0182426 | − | 0.173566i | 0.000718857 | − | 0.00683947i | ||||
\(645\) | 19.5811 | + | 38.6035i | 0.771006 | + | 1.52001i | ||||
\(646\) | −1.12429 | − | 10.6969i | −0.0442344 | − | 0.420862i | ||||
\(647\) | 16.4808 | − | 11.9740i | 0.647928 | − | 0.470747i | −0.214637 | − | 0.976694i | \(-0.568857\pi\) |
0.862565 | + | 0.505947i | \(0.168857\pi\) | |||||||
\(648\) | 0.277025 | + | 25.2090i | 0.0108826 | + | 0.990304i | ||||
\(649\) | 0.405268 | 0.0159082 | ||||||||
\(650\) | −34.7421 | − | 28.6628i | −1.36270 | − | 1.12425i | ||||
\(651\) | 11.9033 | − | 10.2231i | 0.466526 | − | 0.400673i | ||||
\(652\) | −0.151395 | + | 0.168141i | −0.00592907 | + | 0.00658490i | ||||
\(653\) | 34.2553 | + | 15.2514i | 1.34051 | + | 0.596835i | 0.946629 | − | 0.322325i | \(-0.104464\pi\) |
0.393884 | + | 0.919160i | \(0.371131\pi\) | |||||||
\(654\) | −8.12689 | − | 7.66981i | −0.317787 | − | 0.299913i | ||||
\(655\) | 0.860617 | − | 1.78332i | 0.0336271 | − | 0.0696802i | ||||
\(656\) | 5.35073 | + | 3.88754i | 0.208911 | + | 0.151783i | ||||
\(657\) | 0.557684 | − | 3.65079i | 0.0217573 | − | 0.142431i | ||||
\(658\) | −8.79169 | − | 6.38754i | −0.342736 | − | 0.249012i | ||||
\(659\) | 16.4282 | + | 18.2453i | 0.639951 | + | 0.710737i | 0.972645 | − | 0.232298i | \(-0.0746243\pi\) |
−0.332694 | + | 0.943035i | \(0.607958\pi\) | |||||||
\(660\) | 0.00430616 | − | 0.00164400i | 0.000167617 | − | 6.39928e-5i | ||||
\(661\) | −4.46101 | + | 4.95445i | −0.173513 | + | 0.192706i | −0.823629 | − | 0.567130i | \(-0.808054\pi\) |
0.650115 | + | 0.759835i | \(0.274721\pi\) | |||||||
\(662\) | 36.6030 | − | 7.78020i | 1.42261 | − | 0.302386i | ||||
\(663\) | −22.2957 | + | 29.2222i | −0.865895 | + | 1.13490i | ||||
\(664\) | 15.2338 | + | 3.23804i | 0.591185 | + | 0.125660i | ||||
\(665\) | −12.0387 | + | 0.892180i | −0.466840 | + | 0.0345973i | ||||
\(666\) | 37.4029 | − | 24.5830i | 1.44933 | − | 0.952571i | ||||
\(667\) | −14.5487 | − | 10.5702i | −0.563327 | − | 0.409281i | ||||
\(668\) | −0.254622 | + | 0.441018i | −0.00985162 | + | 0.0170635i | ||||
\(669\) | −19.2131 | + | 40.5675i | −0.742820 | + | 1.56843i | ||||
\(670\) | 4.45029 | − | 5.74523i | 0.171930 | − | 0.221958i | ||||
\(671\) | −0.306604 | − | 0.136509i | −0.0118363 | − | 0.00526987i | ||||
\(672\) | −0.205159 | + | 0.865010i | −0.00791418 | + | 0.0333685i | ||||
\(673\) | −11.7852 | − | 2.50502i | −0.454286 | − | 0.0965614i | −0.0249146 | − | 0.999690i | \(-0.507931\pi\) |
−0.429371 | + | 0.903128i | \(0.641265\pi\) | |||||||
\(674\) | 23.0492 | 0.887822 | ||||||||
\(675\) | 25.5499 | − | 4.71189i | 0.983417 | − | 0.181361i | ||||
\(676\) | 1.01015 | 0.0388521 | ||||||||
\(677\) | 24.5942 | + | 5.22765i | 0.945231 | + | 0.200915i | 0.654647 | − | 0.755935i | \(-0.272817\pi\) |
0.290584 | + | 0.956850i | \(0.406151\pi\) | |||||||
\(678\) | −2.12718 | + | 8.96881i | −0.0816938 | + | 0.344445i | ||||
\(679\) | 22.8781 | + | 10.1860i | 0.877980 | + | 0.390902i | ||||
\(680\) | 0.647519 | − | 21.0540i | 0.0248312 | − | 0.807384i | ||||
\(681\) | 14.9550 | − | 31.5768i | 0.573078 | − | 1.21003i | ||||
\(682\) | −0.0847974 | + | 0.146873i | −0.00324706 | + | 0.00562408i | ||||
\(683\) | 29.2073 | + | 21.2203i | 1.11758 | + | 0.811973i | 0.983841 | − | 0.179043i | \(-0.0573002\pi\) |
0.133743 | + | 0.991016i | \(0.457300\pi\) | |||||||
\(684\) | −0.0146379 | − | 0.252732i | −0.000559696 | − | 0.00966344i | ||||
\(685\) | 9.47217 | + | 23.1664i | 0.361913 | + | 0.885144i | ||||
\(686\) | −27.5684 | − | 5.85985i | −1.05257 | − | 0.223730i | ||||
\(687\) | 7.31153 | − | 9.58297i | 0.278952 | − | 0.365613i | ||||
\(688\) | 44.5363 | − | 9.46648i | 1.69793 | − | 0.360906i | ||||
\(689\) | 6.43936 | − | 7.15163i | 0.245320 | − | 0.272455i | ||||
\(690\) | 0.537154 | + | 10.6189i | 0.0204491 | + | 0.404256i | ||||
\(691\) | 5.04645 | + | 5.60465i | 0.191976 | + | 0.213211i | 0.831447 | − | 0.555604i | \(-0.187513\pi\) |
−0.639471 | + | 0.768815i | \(0.720846\pi\) | |||||||
\(692\) | 0.206141 | + | 0.149770i | 0.00783629 | + | 0.00569340i | ||||
\(693\) | −0.212793 | + | 0.0830279i | −0.00808334 | + | 0.00315397i | ||||
\(694\) | 21.6515 | + | 15.7308i | 0.821881 | + | 0.597131i | ||||
\(695\) | 0.0793621 | − | 0.0426221i | 0.00301038 | − | 0.00161675i | ||||
\(696\) | 32.9939 | + | 31.1382i | 1.25063 | + | 1.18029i | ||||
\(697\) | −4.98758 | − | 2.22061i | −0.188918 | − | 0.0841117i | ||||
\(698\) | 1.71851 | − | 1.90860i | 0.0650465 | − | 0.0722415i | ||||
\(699\) | 37.0971 | − | 31.8605i | 1.40314 | − | 1.20508i | ||||
\(700\) | 0.452872 | + | 0.0278827i | 0.0171169 | + | 0.00105387i | ||||
\(701\) | −41.9293 | −1.58365 | −0.791824 | − | 0.610749i | \(-0.790868\pi\) | ||||
−0.791824 | + | 0.610749i | \(0.790868\pi\) | |||||||
\(702\) | −30.1041 | + | 35.8413i | −1.13620 | + | 1.35274i | ||||
\(703\) | 18.9454 | − | 13.7647i | 0.714541 | − | 0.519144i | ||||
\(704\) | 0.0259086 | + | 0.246504i | 0.000976466 | + | 0.00929045i | ||||
\(705\) | 10.8931 | + | 5.57526i | 0.410256 | + | 0.209977i | ||||
\(706\) | 0.273977 | − | 2.60672i | 0.0103113 | − | 0.0981052i | ||||
\(707\) | −6.60415 | − | 11.4387i | −0.248375 | − | 0.430197i | ||||
\(708\) | −0.358093 | + | 0.756096i | −0.0134580 | + | 0.0284158i | ||||
\(709\) | −0.366008 | − | 0.406493i | −0.0137457 | − | 0.0152662i | 0.736233 | − | 0.676728i | \(-0.236603\pi\) |
−0.749978 | + | 0.661462i | \(0.769936\pi\) | |||||||
\(710\) | −14.3046 | + | 1.06011i | −0.536842 | + | 0.0397851i | ||||
\(711\) | −0.975020 | + | 2.58233i | −0.0365661 | + | 0.0968450i | ||||
\(712\) | 2.61203 | − | 8.03900i | 0.0978899 | − | 0.301274i | ||||
\(713\) | −4.83833 | − | 5.37351i | −0.181197 | − | 0.201240i | ||||
\(714\) | 0.469405 | − | 20.0283i | 0.0175670 | − | 0.749541i | ||||
\(715\) | −0.419632 | − | 0.150759i | −0.0156934 | − | 0.00563808i | ||||
\(716\) | 0.265179 | − | 0.0563656i | 0.00991021 | − | 0.00210648i | ||||
\(717\) | 4.38051 | + | 6.33632i | 0.163593 | + | 0.236634i | ||||
\(718\) | 25.0638 | − | 43.4117i | 0.935371 | − | 1.62011i | ||||
\(719\) | −23.1267 | − | 16.8026i | −0.862482 | − | 0.626630i | 0.0660771 | − | 0.997815i | \(-0.478952\pi\) |
−0.928559 | + | 0.371185i | \(0.878952\pi\) | |||||||
\(720\) | 2.11887 | − | 27.2463i | 0.0789657 | − | 1.01541i | ||||
\(721\) | −3.57254 | + | 2.59560i | −0.133048 | + | 0.0966651i | ||||
\(722\) | 2.08594 | + | 19.8464i | 0.0776305 | + | 0.738605i | ||||
\(723\) | −23.0544 | + | 12.5997i | −0.857404 | + | 0.468587i | ||||
\(724\) | −0.129620 | − | 0.224508i | −0.00481728 | − | 0.00834378i | ||||
\(725\) | 25.8206 | − | 38.9764i | 0.958953 | − | 1.44755i | ||||
\(726\) | −20.6302 | + | 17.7181i | −0.765659 | + | 0.657581i | ||||
\(727\) | −38.1196 | − | 8.10257i | −1.41378 | − | 0.300508i | −0.563184 | − | 0.826331i | \(-0.690424\pi\) |
−0.850594 | + | 0.525824i | \(0.823757\pi\) | |||||||
\(728\) | 34.4571 | − | 25.0345i | 1.27706 | − | 0.927841i | ||||
\(729\) | −4.66270 | − | 26.5943i | −0.172693 | − | 0.984976i | ||||
\(730\) | −0.934734 | + | 3.81660i | −0.0345960 | + | 0.141259i | ||||
\(731\) | −34.3355 | + | 15.2872i | −1.26995 | + | 0.565416i | ||||
\(732\) | 0.525594 | − | 0.451403i | 0.0194265 | − | 0.0166843i | ||||
\(733\) | −1.05126 | + | 10.0021i | −0.0388293 | + | 0.369436i | 0.957802 | + | 0.287428i | \(0.0928002\pi\) |
−0.996632 | + | 0.0820086i | \(0.973867\pi\) | |||||||
\(734\) | −33.5705 | + | 7.13562i | −1.23911 | + | 0.263381i | ||||
\(735\) | 4.61927 | + | 0.250509i | 0.170384 | + | 0.00924016i | ||||
\(736\) | 0.400729 | + | 0.0851776i | 0.0147711 | + | 0.00313969i | ||||
\(737\) | 0.0222324 | − | 0.0684244i | 0.000818942 | − | 0.00252044i | ||||
\(738\) | −6.21184 | − | 3.12222i | −0.228661 | − | 0.114931i | ||||
\(739\) | −12.4137 | − | 38.2054i | −0.456645 | − | 1.40541i | −0.869193 | − | 0.494473i | \(-0.835361\pi\) |
0.412548 | − | 0.910936i | \(-0.364639\pi\) | |||||||
\(740\) | −0.775434 | + | 0.416454i | −0.0285055 | + | 0.0153092i | ||||
\(741\) | −14.8548 | + | 19.4697i | −0.545707 | + | 0.715238i | ||||
\(742\) | −0.548271 | + | 5.21645i | −0.0201277 | + | 0.191502i | ||||
\(743\) | 6.57831 | + | 11.3940i | 0.241335 | + | 0.418004i | 0.961095 | − | 0.276219i | \(-0.0890815\pi\) |
−0.719760 | + | 0.694223i | \(0.755748\pi\) | |||||||
\(744\) | 10.3734 | + | 15.0049i | 0.380306 | + | 0.550105i | ||||
\(745\) | −3.21728 | − | 17.8123i | −0.117872 | − | 0.652594i | ||||
\(746\) | −2.32911 | + | 1.69220i | −0.0852747 | + | 0.0619557i | ||||
\(747\) | −16.6612 | − | 0.781410i | −0.609603 | − | 0.0285903i | ||||
\(748\) | 0.00123677 | + | 0.00380638i | 4.52207e−5 | + | 0.000139175i | ||||
\(749\) | 22.2575 | − | 38.5511i | 0.813270 | − | 1.40863i | ||||
\(750\) | −27.5213 | + | 2.58827i | −1.00494 | + | 0.0945104i | ||||
\(751\) | 6.07148 | + | 10.5161i | 0.221552 | + | 0.383738i | 0.955279 | − | 0.295705i | \(-0.0955546\pi\) |
−0.733728 | + | 0.679444i | \(0.762221\pi\) | |||||||
\(752\) | 8.61288 | − | 9.56557i | 0.314079 | − | 0.348821i | ||||
\(753\) | 5.60987 | − | 23.6528i | 0.204435 | − | 0.861957i | ||||
\(754\) | 8.80442 | + | 83.7685i | 0.320638 | + | 3.05067i | ||||
\(755\) | 15.8166 | − | 13.3843i | 0.575625 | − | 0.487103i | ||||
\(756\) | 0.0331204 | − | 0.470365i | 0.00120458 | − | 0.0171070i | ||||
\(757\) | −10.4368 | −0.379330 | −0.189665 | − | 0.981849i | \(-0.560740\pi\) | ||||
−0.189665 | + | 0.981849i | \(0.560740\pi\) | |||||||
\(758\) | 24.5857 | − | 10.9463i | 0.892993 | − | 0.397586i | ||||
\(759\) | 0.0405490 | + | 0.0971382i | 0.00147183 | + | 0.00352589i | ||||
\(760\) | 0.431419 | − | 14.0275i | 0.0156492 | − | 0.508831i | ||||
\(761\) | −2.49510 | + | 2.77109i | −0.0904473 | + | 0.100452i | −0.786669 | − | 0.617375i | \(-0.788196\pi\) |
0.696222 | + | 0.717827i | \(0.254863\pi\) | |||||||
\(762\) | 24.2890 | + | 3.12985i | 0.879897 | + | 0.113382i | ||||
\(763\) | −7.28684 | − | 8.09286i | −0.263801 | − | 0.292981i | ||||
\(764\) | 0.131433 | + | 0.404508i | 0.00475507 | + | 0.0146346i | ||||
\(765\) | 2.96532 | + | 22.3633i | 0.107211 | + | 0.808548i | ||||
\(766\) | 4.88115 | − | 15.0226i | 0.176363 | − | 0.542790i | ||||
\(767\) | 73.9342 | − | 32.9176i | 2.66961 | − | 1.18859i | ||||
\(768\) | −1.47670 | − | 0.518364i | −0.0532856 | − | 0.0187049i | ||||
\(769\) | 3.23379 | − | 30.7674i | 0.116613 | − | 1.10950i | −0.767117 | − | 0.641507i | \(-0.778310\pi\) |
0.883731 | − | 0.467996i | \(-0.155024\pi\) | |||||||
\(770\) | 0.233334 | − | 0.0679596i | 0.00840878 | − | 0.00244909i | ||||
\(771\) | 15.8015 | − | 4.72789i | 0.569079 | − | 0.170271i | ||||
\(772\) | 0.0878817 | + | 0.836139i | 0.00316293 | + | 0.0300933i | ||||
\(773\) | −1.07567 | − | 3.31057i | −0.0386891 | − | 0.119073i | 0.929847 | − | 0.367947i | \(-0.119939\pi\) |
−0.968536 | + | 0.248874i | \(0.919939\pi\) | |||||||
\(774\) | −44.5876 | + | 17.3973i | −1.60267 | + | 0.625332i | ||||
\(775\) | 13.4136 | − | 13.1708i | 0.481830 | − | 0.473111i | ||||
\(776\) | −14.5572 | + | 25.2138i | −0.522572 | + | 0.905122i | ||||
\(777\) | 38.2752 | − | 20.9181i | 1.37311 | − | 0.750432i | ||||
\(778\) | −28.2204 | − | 12.5645i | −1.01175 | − | 0.450460i | ||||
\(779\) | −3.32304 | − | 1.47951i | −0.119060 | − | 0.0530091i | ||||
\(780\) | 0.652052 | − | 0.649685i | 0.0233472 | − | 0.0232625i | ||||
\(781\) | −0.129727 | + | 0.0577582i | −0.00464200 | + | 0.00206675i | ||||
\(782\) | −9.23220 | −0.330143 | ||||||||
\(783\) | −40.2676 | − | 27.1893i | −1.43905 | − | 0.971665i | ||||
\(784\) | 1.50369 | − | 4.62788i | 0.0537032 | − | 0.165282i | ||||
\(785\) | 4.61474 | + | 25.5494i | 0.164707 | + | 0.911896i | ||||
\(786\) | 1.86995 | + | 1.13885i | 0.0666988 | + | 0.0406214i | ||||
\(787\) | −46.0635 | + | 9.79110i | −1.64199 | + | 0.349015i | −0.934017 | − | 0.357228i | \(-0.883722\pi\) |
−0.707969 | + | 0.706243i | \(0.750388\pi\) | |||||||
\(788\) | −0.965192 | + | 0.205158i | −0.0343835 | + | 0.00730844i | ||||
\(789\) | −36.8917 | + | 20.1620i | −1.31338 | + | 0.717785i | ||||
\(790\) | 1.27644 | − | 2.64496i | 0.0454135 | − | 0.0941034i | ||||
\(791\) | −2.77585 | + | 8.54319i | −0.0986979 | + | 0.303761i | ||||
\(792\) | −0.0701378 | − | 0.256121i | −0.00249224 | − | 0.00910085i | ||||
\(793\) | −67.0224 | −2.38004 | ||||||||
\(794\) | −10.3566 | + | 4.61107i | −0.367543 | + | 0.163641i | ||||
\(795\) | −0.298388 | − | 5.89880i | −0.0105827 | − | 0.209209i | ||||
\(796\) | −0.571463 | − | 0.254432i | −0.0202550 | − | 0.00901809i | ||||
\(797\) | −28.7663 | − | 12.8076i | −1.01895 | − | 0.453668i | −0.171866 | − | 0.985120i | \(-0.554980\pi\) |
−0.847088 | + | 0.531453i | \(0.821646\pi\) | |||||||
\(798\) | 0.312747 | − | 13.3441i | 0.0110711 | − | 0.472377i | ||||
\(799\) | −5.31265 | + | 9.20178i | −0.187948 | + | 0.325536i | ||||
\(800\) | −0.176218 | + | 1.05043i | −0.00623024 | + | 0.0371382i | ||||
\(801\) | −1.36700 | + | 8.94887i | −0.0483007 | + | 0.316193i | ||||
\(802\) | −5.53334 | − | 17.0299i | −0.195389 | − | 0.601345i | ||||
\(803\) | 0.00406626 | + | 0.0386879i | 0.000143495 | + | 0.00136527i | ||||
\(804\) | 0.108013 | + | 0.101938i | 0.00380932 | + | 0.00359507i | ||||
\(805\) | −0.318525 | + | 10.3568i | −0.0112265 | + | 0.365029i | ||||
\(806\) | −3.54014 | + | 33.6821i | −0.124696 | + | 1.18640i | ||||
\(807\) | 20.9812 | − | 18.0195i | 0.738572 | − | 0.634317i | ||||
\(808\) | 14.0280 | − | 6.24566i | 0.493502 | − | 0.219721i | ||||
\(809\) | −8.49171 | + | 26.1348i | −0.298553 | + | 0.918851i | 0.683452 | + | 0.729995i | \(0.260478\pi\) |
−0.982005 | + | 0.188856i | \(0.939522\pi\) | |||||||
\(810\) | 2.43781 | + | 28.6236i | 0.0856560 | + | 1.00573i | ||||
\(811\) | −2.41545 | − | 7.43400i | −0.0848180 | − | 0.261043i | 0.899649 | − | 0.436615i | \(-0.143823\pi\) |
−0.984467 | + | 0.175572i | \(0.943823\pi\) | |||||||
\(812\) | −0.567779 | − | 0.630582i | −0.0199251 | − | 0.0221291i | ||||
\(813\) | 9.56767 | + | 22.9201i | 0.335553 | + | 0.803843i | ||||
\(814\) | −0.315464 | + | 0.350358i | −0.0110570 | + | 0.0122800i | ||||
\(815\) | 8.22619 | − | 10.6198i | 0.288151 | − | 0.371997i | ||||
\(816\) | 23.5348 | + | 3.03266i | 0.823882 | + | 0.106164i | ||||
\(817\) | −22.8765 | + | 10.1853i | −0.800348 | + | 0.356338i | ||||
\(818\) | −6.33407 | −0.221466 | ||||||||
\(819\) | −32.0765 | + | 32.4310i | −1.12085 | + | 1.13323i | ||||
\(820\) | 0.116246 | + | 0.0719679i | 0.00405950 | + | 0.00251323i | ||||
\(821\) | 2.23363 | + | 21.2516i | 0.0779542 | + | 0.741685i | 0.961772 | + | 0.273853i | \(0.0882982\pi\) |
−0.883817 | + | 0.467832i | \(0.845035\pi\) | |||||||
\(822\) | −26.5125 | + | 7.93266i | −0.924731 | + | 0.276683i | ||||
\(823\) | −21.1008 | + | 23.4348i | −0.735528 | + | 0.816887i | −0.988601 | − | 0.150560i | \(-0.951892\pi\) |
0.253073 | + | 0.967447i | \(0.418559\pi\) | |||||||
\(824\) | −2.56689 | − | 4.44598i | −0.0894217 | − | 0.154883i | ||||
\(825\) | −0.247752 | + | 0.116236i | −0.00862561 | + | 0.00404681i | ||||
\(826\) | −22.0554 | + | 38.2010i | −0.767405 | + | 1.32918i | ||||
\(827\) | 0.0456076 | + | 0.140366i | 0.00158593 | + | 0.00488099i | 0.951846 | − | 0.306575i | \(-0.0991832\pi\) |
−0.950260 | + | 0.311456i | \(0.899183\pi\) | |||||||
\(828\) | −0.217057 | − | 0.0101799i | −0.00754324 | − | 0.000353777i | ||||
\(829\) | −31.5635 | + | 22.9322i | −1.09625 | + | 0.796469i | −0.980443 | − | 0.196803i | \(-0.936944\pi\) |
−0.115802 | + | 0.993272i | \(0.536944\pi\) | |||||||
\(830\) | 17.5840 | + | 2.39670i | 0.610349 | + | 0.0831906i | ||||
\(831\) | −11.7047 | + | 24.7139i | −0.406031 | + | 0.857314i | ||||
\(832\) | 24.7486 | + | 42.8659i | 0.858005 | + | 1.48611i | ||||
\(833\) | −0.419870 | + | 3.99479i | −0.0145476 | + | 0.138411i | ||||
\(834\) | 0.0383702 | + | 0.0919189i | 0.00132865 | + | 0.00318289i | ||||
\(835\) | 13.1408 | − | 27.2297i | 0.454758 | − | 0.942323i | ||||
\(836\) | 0.000824014 | 0.00253605i | 2.84991e−5 | 8.77112e-5i | ||||||
\(837\) | −13.5642 | − | 14.0598i | −0.468849 | − | 0.485979i | ||||
\(838\) | −3.23698 | + | 9.96239i | −0.111819 | + | 0.344145i | ||||
\(839\) | −37.5930 | − | 7.99064i | −1.29786 | − | 0.275868i | −0.493359 | − | 0.869826i | \(-0.664231\pi\) |
−0.804496 | + | 0.593958i | \(0.797565\pi\) | |||||||
\(840\) | 4.13616 | − | 25.8108i | 0.142711 | − | 0.890557i | ||||
\(841\) | −57.1576 | + | 12.1492i | −1.97095 | + | 0.418939i | ||||
\(842\) | 1.16807 | − | 11.1135i | 0.0402544 | − | 0.382995i | ||||
\(843\) | −0.473131 | − | 2.51422i | −0.0162955 | − | 0.0865944i | ||||
\(844\) | −0.331058 | + | 0.147396i | −0.0113955 | + | 0.00507359i | ||||
\(845\) | −59.8106 | + | 4.43254i | −2.05755 | + | 0.152484i | ||||
\(846\) | −7.30678 | + | 11.3880i | −0.251212 | + | 0.391526i | ||||
\(847\) | −21.4404 | + | 15.5774i | −0.736701 | + | 0.535244i | ||||
\(848\) | −6.07699 | − | 1.29170i | −0.208685 | − | 0.0443573i | ||||
\(849\) | 22.2613 | + | 7.81437i | 0.764005 | + | 0.268189i | ||||
\(850\) | −1.03726 | − | 23.9798i | −0.0355778 | − | 0.822499i | ||||
\(851\) | −10.0503 | − | 17.4077i | −0.344521 | − | 0.596728i | ||||
\(852\) | 0.00686853 | − | 0.293063i | 0.000235312 | − | 0.0100402i | ||||
\(853\) | 3.15866 | + | 30.0527i | 0.108151 | + | 1.02898i | 0.905176 | + | 0.425038i | \(0.139739\pi\) |
−0.797025 | + | 0.603946i | \(0.793594\pi\) | |||||||
\(854\) | 29.5534 | − | 21.4718i | 1.01130 | − | 0.734750i | ||||
\(855\) | 1.97569 | + | 14.8999i | 0.0675670 | + | 0.509565i | ||||
\(856\) | 41.8679 | + | 30.4188i | 1.43102 | + | 1.03969i | ||||
\(857\) | −3.63200 | + | 6.29081i | −0.124067 | + | 0.214890i | −0.921368 | − | 0.388692i | \(-0.872927\pi\) |
0.797301 | + | 0.603582i | \(0.206260\pi\) | |||||||
\(858\) | 0.211031 | − | 0.445581i | 0.00720447 | − | 0.0152119i | ||||
\(859\) | 30.8112 | − | 6.54913i | 1.05127 | − | 0.223454i | 0.350292 | − | 0.936640i | \(-0.386082\pi\) |
0.700974 | + | 0.713187i | \(0.252749\pi\) | |||||||
\(860\) | 0.903666 | − | 0.263196i | 0.0308148 | − | 0.00897492i | ||||
\(861\) | −5.78658 | − | 3.52419i | −0.197206 | − | 0.120104i | ||||
\(862\) | −12.0456 | − | 13.3780i | −0.410276 | − | 0.455658i | ||||
\(863\) | −14.1918 | + | 43.6780i | −0.483096 | + | 1.48682i | 0.351623 | + | 0.936142i | \(0.385630\pi\) |
−0.834719 | + | 0.550675i | \(0.814370\pi\) | |||||||
\(864\) | 1.08998 | + | 0.192738i | 0.0370819 | + | 0.00655709i | ||||
\(865\) | −12.8627 | − | 7.96325i | −0.437344 | − | 0.270759i | ||||
\(866\) | −35.8255 | − | 39.7883i | −1.21740 | − | 1.35206i | ||||
\(867\) | 9.82431 | − | 0.800352i | 0.333651 | − | 0.0271814i | ||||
\(868\) | −0.170591 | − | 0.295473i | −0.00579025 | − | 0.0100290i | ||||
\(869\) | 0.00303914 | − | 0.0289155i | 0.000103096 | − | 0.000980892i | ||||
\(870\) | 40.1158 | + | 32.6061i | 1.36005 | + | 1.10545i | ||||
\(871\) | −1.50180 | − | 14.2887i | −0.0508865 | − | 0.484153i | ||||
\(872\) | 10.2424 | − | 7.44158i | 0.346853 | − | 0.252004i | ||||
\(873\) | 11.0141 | − | 29.1708i | 0.372772 | − | 0.987283i | ||||
\(874\) | −6.15108 | −0.208063 | ||||||||
\(875\) | −26.9366 | + | 0.336276i | −0.910624 | + | 0.0113682i | ||||
\(876\) | −0.0757718 | − | 0.0265982i | −0.00256009 | − | 0.000898668i | ||||
\(877\) | 10.4883 | − | 11.6484i | 0.354164 | − | 0.393340i | −0.539566 | − | 0.841943i | \(-0.681412\pi\) |
0.893731 | + | 0.448604i | \(0.148078\pi\) | |||||||
\(878\) | 45.4991 | + | 20.2575i | 1.53552 | + | 0.683658i | ||||
\(879\) | 26.9989 | − | 8.07819i | 0.910651 | − | 0.272470i | ||||
\(880\) | 0.0511656 | + | 0.283277i | 0.00172479 | + | 0.00954926i | ||||
\(881\) | 36.7061 | + | 26.6685i | 1.23666 | + | 0.898486i | 0.997371 | − | 0.0724624i | \(-0.0230857\pi\) |
0.239289 | + | 0.970948i | \(0.423086\pi\) | |||||||
\(882\) | −0.772405 | + | 5.05643i | −0.0260082 | + | 0.170259i | ||||
\(883\) | 2.12115 | + | 1.54110i | 0.0713823 | + | 0.0518623i | 0.622904 | − | 0.782298i | \(-0.285953\pi\) |
−0.551522 | + | 0.834160i | \(0.685953\pi\) | |||||||
\(884\) | 0.534797 | + | 0.593953i | 0.0179872 | + | 0.0199768i | ||||
\(885\) | 17.8848 | − | 46.3393i | 0.601189 | − | 1.55768i | ||||
\(886\) | 23.4533 | − | 26.0475i | 0.787929 | − | 0.875084i | ||||
\(887\) | −30.7732 | + | 6.54104i | −1.03326 | + | 0.219626i | −0.693176 | − | 0.720768i | \(-0.743789\pi\) |
−0.340085 | + | 0.940395i | \(0.610456\pi\) | |||||||
\(888\) | 19.5342 | + | 46.7957i | 0.655524 | + | 1.57036i | ||||
\(889\) | 23.3445 | + | 4.96203i | 0.782950 | + | 0.166421i | ||||
\(890\) | 2.29123 | − | 9.35530i | 0.0768023 | − | 0.313590i | ||||
\(891\) | 0.118524 | + | 0.258525i | 0.00397069 | + | 0.00866091i | ||||
\(892\) | 0.789632 | + | 0.573701i | 0.0264388 | + | 0.0192089i | ||||
\(893\) | −3.53963 | + | 6.13082i | −0.118449 | + | 0.205160i | ||||
\(894\) | 19.9479 | − | 1.62509i | 0.667158 | − | 0.0543510i | ||||
\(895\) | −15.4538 | + | 4.50097i | −0.516563 | + | 0.150451i | ||||
\(896\) | −25.5835 | − | 11.3905i | −0.854684 | − | 0.380530i | ||||
\(897\) | 15.2874 | + | 14.4276i | 0.510433 | + | 0.481725i | ||||
\(898\) | −7.95529 | − | 1.69095i | −0.265471 | − | 0.0564277i | ||||
\(899\) | −35.1562 | −1.17253 | ||||||||
\(900\) | 0.00205451 | − | 0.564928i | 6.84838e−5 | − | 0.0188309i | ||||
\(901\) | 5.12847 | 0.170854 | ||||||||
\(902\) | 0.0716311 | + | 0.0152257i | 0.00238505 | + | 0.000506959i | ||||
\(903\) | −44.6851 | + | 13.3700i | −1.48703 | + | 0.444925i | ||||
\(904\) | −9.54030 | − | 4.24761i | −0.317306 | − | 0.141274i | ||||
\(905\) | 8.65985 | + | 12.7242i | 0.287863 | + | 0.422967i | ||||
\(906\) | 13.0281 | + | 18.8450i | 0.432831 | + | 0.626082i | ||||
\(907\) | 19.4248 | − | 33.6448i | 0.644991 | − | 1.11716i | −0.339312 | − | 0.940674i | \(-0.610194\pi\) |
0.984304 | − | 0.176484i | \(-0.0564724\pi\) | |||||||
\(908\) | −0.614632 | − | 0.446556i | −0.0203973 | − | 0.0148195i | ||||
\(909\) | −13.7429 | + | 9.03249i | −0.455824 | + | 0.299589i | ||||
\(910\) | 37.0478 | − | 31.3505i | 1.22812 | − | 1.03926i | ||||
\(911\) | 23.4837 | + | 4.99161i | 0.778049 | + | 0.165380i | 0.579786 | − | 0.814769i | \(-0.303136\pi\) |
0.198264 | + | 0.980149i | \(0.436470\pi\) | |||||||
\(912\) | 15.6804 | + | 2.02055i | 0.519229 | + | 0.0669072i | ||||
\(913\) | 0.171852 | − | 0.0365282i | 0.00568746 | − | 0.00120891i | ||||
\(914\) | 28.6372 | − | 31.8048i | 0.947234 | − | 1.05201i | ||||
\(915\) | −29.1394 | + | 29.0336i | −0.963318 | + | 0.959821i | ||||
\(916\) | −0.175378 | − | 0.194777i | −0.00579466 | − | 0.00643562i | ||||
\(917\) | 1.72619 | + | 1.25415i | 0.0570037 | + | 0.0414156i | ||||
\(918\) | −24.9290 | + | 0.858432i | −0.822781 | + | 0.0283325i | ||||
\(919\) | 34.1266 | + | 24.7944i | 1.12573 | + | 0.817892i | 0.985068 | − | 0.172165i | \(-0.0550762\pi\) |
0.140664 | + | 0.990057i | \(0.455076\pi\) | |||||||
\(920\) | −11.9358 | − | 1.62685i | −0.393512 | − | 0.0536357i | ||||
\(921\) | −5.73615 | + | 24.1853i | −0.189013 | + | 0.796932i | ||||
\(922\) | −6.47647 | − | 2.88351i | −0.213291 | − | 0.0949633i | ||||
\(923\) | −18.9751 | + | 21.0740i | −0.624572 | + | 0.693658i | ||||
\(924\) | 0.000918534 | 0.00488109i | 3.02175e−5 | 0.000160576i | ||||||
\(925\) | 44.0856 | − | 28.0606i | 1.44953 | − | 0.922626i | ||||
\(926\) | 16.3264 | 0.536519 | ||||||||
\(927\) | 3.48353 | + | 4.25380i | 0.114414 | + | 0.139713i | ||||
\(928\) | 1.61147 | − | 1.17080i | 0.0528990 | − | 0.0384334i | ||||
\(929\) | −0.412534 | − | 3.92500i | −0.0135348 | − | 0.128775i | 0.985668 | − | 0.168697i | \(-0.0539558\pi\) |
−0.999203 | + | 0.0399216i | \(0.987289\pi\) | |||||||
\(930\) | 13.0517 | + | 16.1776i | 0.427982 | + | 0.530483i | ||||
\(931\) | −0.279744 | + | 2.66159i | −0.00916824 | + | 0.0872300i | ||||
\(932\) | −0.531655 | − | 0.920854i | −0.0174149 | − | 0.0301636i | ||||
\(933\) | −22.0534 | − | 31.8997i | −0.721994 | − | 1.04435i | ||||
\(934\) | −25.1268 | − | 27.9062i | −0.822175 | − | 0.913117i | ||||
\(935\) | −0.0899306 | − | 0.219947i | −0.00294105 | − | 0.00719302i | ||||
\(936\) | −33.5986 | − | 41.0279i | −1.09821 | − | 1.34104i | ||||
\(937\) | 9.87834 | − | 30.4024i | 0.322711 | − | 0.993204i | −0.649752 | − | 0.760147i | \(-0.725127\pi\) |
0.972463 | − | 0.233057i | \(-0.0748729\pi\) | |||||||
\(938\) | 5.23983 | + | 5.81942i | 0.171087 | + | 0.190011i | ||||
\(939\) | 37.1425 | − | 20.2990i | 1.21210 | − | 0.662434i | ||||
\(940\) | 0.162943 | − | 0.210356i | 0.00531461 | − | 0.00686105i | ||||
\(941\) | −14.1248 | + | 3.00231i | −0.460454 | + | 0.0978726i | −0.432298 | − | 0.901731i | \(-0.642297\pi\) |
−0.0281566 | + | 0.999604i | \(0.508964\pi\) | |||||||
\(942\) | −28.6125 | + | 2.33096i | −0.932247 | + | 0.0759469i | ||||
\(943\) | −1.56113 | + | 2.70396i | −0.0508374 | + | 0.0880529i | ||||
\(944\) | −42.2693 | − | 30.7104i | −1.37575 | − | 0.999540i | ||||
\(945\) | 0.102910 | + | 27.9954i | 0.00334767 | + | 0.910689i | ||||
\(946\) | 0.407858 | − | 0.296326i | 0.0132606 | − | 0.00963439i | ||||
\(947\) | −4.99146 | − | 47.4906i | −0.162201 | − | 1.54324i | −0.708538 | − | 0.705672i | \(-0.750645\pi\) |
0.546337 | − | 0.837565i | \(-0.316022\pi\) | |||||||
\(948\) | 0.0512614 | + | 0.0312197i | 0.00166489 | + | 0.00101397i | ||||
\(949\) | 3.88422 | + | 6.72766i | 0.126087 | + | 0.218389i | ||||
\(950\) | −0.691091 | − | 15.9769i | −0.0224219 | − | 0.518358i | ||||
\(951\) | 5.54077 | + | 29.4437i | 0.179672 | + | 0.954777i | ||||
\(952\) | 22.2014 | + | 4.71906i | 0.719553 | + | 0.152946i | ||||
\(953\) | −14.1198 | + | 10.2587i | −0.457387 | + | 0.332311i | −0.792505 | − | 0.609865i | \(-0.791224\pi\) |
0.335119 | + | 0.942176i | \(0.391224\pi\) | |||||||
\(954\) | 6.52354 | + | 0.305953i | 0.211207 | + | 0.00990560i | ||||
\(955\) | −9.55702 | − | 23.3740i | −0.309258 | − | 0.756364i | ||||
\(956\) | 0.153017 | − | 0.0681276i | 0.00494893 | − | 0.00220340i | ||||
\(957\) | 0.482898 | + | 0.169512i | 0.0156099 | + | 0.00547953i | ||||
\(958\) | −0.0698429 | + | 0.664511i | −0.00225652 | + | 0.0214694i | ||||
\(959\) | −26.3797 | + | 5.60717i | −0.851844 | + | 0.181065i | ||||
\(960\) | 29.3292 | + | 7.91592i | 0.946595 | + | 0.255485i | ||||
\(961\) | 16.4957 | + | 3.50626i | 0.532118 | + | 0.113105i | ||||
\(962\) | −29.0933 | + | 89.5400i | −0.938006 | + | 2.88689i | ||||
\(963\) | −49.5215 | − | 24.8907i | −1.59581 | − | 0.802091i | ||||
\(964\) | 0.176536 | + | 0.543321i | 0.00568583 | + | 0.0174992i | ||||
\(965\) | −8.87238 | − | 49.1217i | −0.285612 | − | 1.58128i | ||||
\(966\) | −11.3631 | − | 1.46423i | −0.365602 | − | 0.0471110i | ||||
\(967\) | −2.68341 | + | 25.5309i | −0.0862926 | + | 0.821019i | 0.862699 | + | 0.505718i | \(0.168772\pi\) |
−0.948992 | + | 0.315301i | \(0.897894\pi\) | |||||||
\(968\) | −15.4051 | − | 26.6823i | −0.495137 | − | 0.857603i | ||||
\(969\) | −13.0077 | + | 1.05969i | −0.417867 | + | 0.0340422i | ||||
\(970\) | −14.4190 | + | 29.8783i | −0.462967 | + | 0.959334i | ||||
\(971\) | −0.505556 | + | 0.367308i | −0.0162241 | + | 0.0117875i | −0.595868 | − | 0.803083i | \(-0.703192\pi\) |
0.579644 | + | 0.814870i | \(0.303192\pi\) | |||||||
\(972\) | −0.587049 | − | 0.00730568i | −0.0188296 | − | 0.000234330i | ||||
\(973\) | 0.0299960 | + | 0.0923182i | 0.000961627 | + | 0.00295958i | ||||
\(974\) | −3.59933 | + | 6.23422i | −0.115330 | + | 0.199757i | ||||
\(975\) | −35.7568 | + | 41.3287i | −1.14514 | + | 1.32358i | ||||
\(976\) | 21.6343 | + | 37.4717i | 0.692497 | + | 1.19944i | ||||
\(977\) | −24.6628 | + | 27.3909i | −0.789034 | + | 0.876311i | −0.994754 | − | 0.102300i | \(-0.967380\pi\) |
0.205719 | + | 0.978611i | \(0.434047\pi\) | |||||||
\(978\) | 10.8022 | + | 10.1947i | 0.345417 | + | 0.325989i | ||||
\(979\) | −0.00996728 | − | 0.0948323i | −0.000318556 | − | 0.00303085i | ||||
\(980\) | 0.0239286 | − | 0.0977025i | 0.000764371 | − | 0.00312099i | ||||
\(981\) | −9.53484 | + | 9.64019i | −0.304424 | + | 0.307788i | ||||
\(982\) | −10.7290 | −0.342375 | ||||||||
\(983\) | −26.0981 | + | 11.6196i | −0.832399 | + | 0.370608i | −0.778273 | − | 0.627926i | \(-0.783904\pi\) |
−0.0541258 | + | 0.998534i | \(0.517237\pi\) | |||||||
\(984\) | 4.77786 | − | 6.26217i | 0.152313 | − | 0.199631i | ||||
\(985\) | 56.2482 | − | 16.3825i | 1.79222 | − | 0.521990i | ||||
\(986\) | −30.0354 | + | 33.3577i | −0.956522 | + | 1.06232i | ||||
\(987\) | −7.99829 | + | 10.4831i | −0.254588 | + | 0.333680i | ||||
\(988\) | 0.356316 | + | 0.395729i | 0.0113359 | + | 0.0125898i | ||||
\(989\) | 6.64210 | + | 20.4423i | 0.211206 | + | 0.650027i | ||||
\(990\) | −0.101272 | − | 0.285143i | −0.00321865 | − | 0.00906242i | ||||
\(991\) | 18.1246 | − | 55.7817i | 0.575746 | − | 1.77196i | −0.0578809 | − | 0.998323i | \(-0.518434\pi\) |
0.633626 | − | 0.773639i | \(-0.281566\pi\) | |||||||
\(992\) | 0.731666 | − | 0.325759i | 0.0232304 | − | 0.0103429i | ||||
\(993\) | −8.39707 | − | 44.6221i | −0.266473 | − | 1.41604i | ||||
\(994\) | 1.61561 | − | 15.3715i | 0.0512441 | − | 0.487555i | ||||
\(995\) | 34.9524 | + | 12.5572i | 1.10807 | + | 0.398090i | ||||
\(996\) | −0.0836978 | + | 0.352895i | −0.00265207 | + | 0.0111819i | ||||
\(997\) | 5.21007 | + | 49.5705i | 0.165004 | + | 1.56991i | 0.693172 | + | 0.720772i | \(0.256213\pi\) |
−0.528168 | + | 0.849140i | \(0.677121\pi\) | |||||||
\(998\) | −3.57766 | − | 11.0109i | −0.113249 | − | 0.348544i | ||||
\(999\) | −28.7568 | − | 46.0702i | −0.909824 | − | 1.45760i |
(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 | 225.2.q.a.106.8 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.181.21 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.31.21 | ✓ | 224 | |
9.5 | odd | 6 | 675.2.r.a.631.8 | 224 | |||
25.21 | even | 5 | inner | 225.2.q.a.196.21 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.46.8 | 224 | |||
225.121 | even | 15 | inner | 225.2.q.a.121.8 | yes | 224 | |
225.221 | odd | 30 | 675.2.r.a.496.21 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.21 | ✓ | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.106.8 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.121.8 | yes | 224 | 225.121 | even | 15 | inner | |
225.2.q.a.196.21 | yes | 224 | 25.21 | even | 5 | inner | |
675.2.r.a.46.8 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.181.21 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.496.21 | 224 | 225.221 | odd | 30 | |||
675.2.r.a.631.8 | 224 | 9.5 | odd | 6 |