Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [378,2,Mod(41,378)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(378, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([17, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("378.41");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 378 = 2 \cdot 3^{3} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 378.z (of order \(18\), degree \(6\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.01834519640\) |
Analytic rank: | \(0\) |
Dimension: | \(144\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{18})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{18}]$ |
Embedding invariants
Embedding label | 41.8 | ||
Character | \(\chi\) | \(=\) | 378.41 |
Dual form | 378.2.z.a.83.8 |
$q$-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 \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{17}{18}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.984808 | + | 0.173648i | −0.696364 | + | 0.122788i | ||||
\(3\) | 0.754516 | − | 1.55907i | 0.435620 | − | 0.900131i | ||||
\(4\) | 0.939693 | − | 0.342020i | 0.469846 | − | 0.171010i | ||||
\(5\) | −0.486827 | − | 0.408497i | −0.217716 | − | 0.182685i | 0.527407 | − | 0.849613i | \(-0.323164\pi\) |
−0.745122 | + | 0.666928i | \(0.767609\pi\) | |||||||
\(6\) | −0.472323 | + | 1.66641i | −0.192825 | + | 0.680308i | ||||
\(7\) | −2.18779 | + | 1.48781i | −0.826907 | + | 0.562338i | ||||
\(8\) | −0.866025 | + | 0.500000i | −0.306186 | + | 0.176777i | ||||
\(9\) | −1.86141 | − | 2.35269i | −0.620471 | − | 0.784230i | ||||
\(10\) | 0.550366 | + | 0.317754i | 0.174041 | + | 0.100483i | ||||
\(11\) | −3.72295 | − | 4.43684i | −1.12251 | − | 1.33776i | −0.934653 | − | 0.355562i | \(-0.884289\pi\) |
−0.187859 | − | 0.982196i | \(-0.560155\pi\) | |||||||
\(12\) | 0.175779 | − | 1.72311i | 0.0507429 | − | 0.497418i | ||||
\(13\) | 0.505415 | + | 0.0891184i | 0.140177 | + | 0.0247170i | 0.243296 | − | 0.969952i | \(-0.421771\pi\) |
−0.103119 | + | 0.994669i | \(0.532882\pi\) | |||||||
\(14\) | 1.89620 | − | 1.84511i | 0.506780 | − | 0.493126i | ||||
\(15\) | −1.00419 | + | 0.450782i | −0.259282 | + | 0.116391i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 1.66709 | − | 2.88748i | 0.404329 | − | 0.700318i | −0.589914 | − | 0.807466i | \(-0.700839\pi\) |
0.994243 | + | 0.107148i | \(0.0341719\pi\) | |||||||
\(18\) | 2.24167 | + | 1.99372i | 0.528368 | + | 0.469923i | ||||
\(19\) | −3.56339 | + | 2.05732i | −0.817498 | + | 0.471983i | −0.849553 | − | 0.527503i | \(-0.823128\pi\) |
0.0320550 | + | 0.999486i | \(0.489795\pi\) | |||||||
\(20\) | −0.597182 | − | 0.217357i | −0.133534 | − | 0.0486024i | ||||
\(21\) | 0.668877 | + | 4.53350i | 0.145961 | + | 0.989290i | ||||
\(22\) | 4.43684 | + | 3.72295i | 0.945938 | + | 0.793736i | ||||
\(23\) | −0.488119 | − | 1.34109i | −0.101780 | − | 0.279638i | 0.878343 | − | 0.478032i | \(-0.158650\pi\) |
−0.980122 | + | 0.198394i | \(0.936427\pi\) | |||||||
\(24\) | 0.126106 | + | 1.72745i | 0.0257414 | + | 0.352615i | ||||
\(25\) | −0.798110 | − | 4.52630i | −0.159622 | − | 0.905261i | ||||
\(26\) | −0.513212 | −0.100649 | ||||||||
\(27\) | −5.07248 | + | 1.12694i | −0.976198 | + | 0.216879i | ||||
\(28\) | −1.54699 | + | 2.14635i | −0.292354 | + | 0.405622i | ||||
\(29\) | −3.07257 | + | 0.541776i | −0.570561 | + | 0.100605i | −0.451483 | − | 0.892280i | \(-0.649105\pi\) |
−0.119078 | + | 0.992885i | \(0.537994\pi\) | |||||||
\(30\) | 0.910661 | − | 0.618310i | 0.166263 | − | 0.112887i | ||||
\(31\) | 2.46439 | + | 6.77086i | 0.442618 | + | 1.21608i | 0.937764 | + | 0.347273i | \(0.112892\pi\) |
−0.495147 | + | 0.868809i | \(0.664886\pi\) | |||||||
\(32\) | −0.642788 | + | 0.766044i | −0.113630 | + | 0.135419i | ||||
\(33\) | −9.72638 | + | 2.45669i | −1.69315 | + | 0.427654i | ||||
\(34\) | −1.14036 | + | 3.13310i | −0.195570 | + | 0.537323i | ||||
\(35\) | 1.67284 | + | 0.169400i | 0.282762 | + | 0.0286338i | ||||
\(36\) | −2.55382 | − | 1.57416i | −0.425637 | − | 0.262361i | ||||
\(37\) | −0.189555 | + | 0.328318i | −0.0311626 | + | 0.0539752i | −0.881186 | − | 0.472770i | \(-0.843254\pi\) |
0.850023 | + | 0.526745i | \(0.176588\pi\) | |||||||
\(38\) | 3.15200 | − | 2.64485i | 0.511323 | − | 0.429051i | ||||
\(39\) | 0.520286 | − | 0.720738i | 0.0833124 | − | 0.115410i | ||||
\(40\) | 0.625853 | + | 0.110355i | 0.0989561 | + | 0.0174486i | ||||
\(41\) | 0.877198 | − | 4.97484i | 0.136995 | − | 0.776939i | −0.836454 | − | 0.548037i | \(-0.815375\pi\) |
0.973449 | − | 0.228902i | \(-0.0735135\pi\) | |||||||
\(42\) | −1.44595 | − | 4.34847i | −0.223115 | − | 0.670984i | ||||
\(43\) | 7.02881 | − | 5.89787i | 1.07188 | − | 0.899417i | 0.0766617 | − | 0.997057i | \(-0.475574\pi\) |
0.995222 | + | 0.0976401i | \(0.0311294\pi\) | |||||||
\(44\) | −5.01592 | − | 2.89594i | −0.756178 | − | 0.436580i | ||||
\(45\) | −0.0548789 | + | 1.90573i | −0.00818086 | + | 0.284090i | ||||
\(46\) | 0.713582 | + | 1.23596i | 0.105212 | + | 0.182232i | ||||
\(47\) | −5.23895 | − | 1.90682i | −0.764179 | − | 0.278139i | −0.0696196 | − | 0.997574i | \(-0.522179\pi\) |
−0.694560 | + | 0.719435i | \(0.744401\pi\) | |||||||
\(48\) | −0.424160 | − | 1.67931i | −0.0612222 | − | 0.242388i | ||||
\(49\) | 2.57286 | − | 6.51002i | 0.367551 | − | 0.930003i | ||||
\(50\) | 1.57197 | + | 4.31895i | 0.222310 | + | 0.610792i | ||||
\(51\) | −3.24395 | − | 4.77776i | −0.454244 | − | 0.669021i | ||||
\(52\) | 0.505415 | − | 0.0891184i | 0.0700885 | − | 0.0123585i | ||||
\(53\) | − | 3.85391i | − | 0.529376i | −0.964334 | − | 0.264688i | \(-0.914731\pi\) | ||
0.964334 | − | 0.264688i | \(-0.0852689\pi\) | |||||||
\(54\) | 4.79972 | − | 1.99064i | 0.653160 | − | 0.270892i | ||||
\(55\) | 3.68079i | 0.496318i | ||||||||
\(56\) | 1.15078 | − | 2.38237i | 0.153779 | − | 0.318358i | ||||
\(57\) | 0.518884 | + | 7.10787i | 0.0687278 | + | 0.941460i | ||||
\(58\) | 2.93181 | − | 1.06709i | 0.384965 | − | 0.140116i | ||||
\(59\) | 2.85807 | + | 2.39820i | 0.372089 | + | 0.312220i | 0.809587 | − | 0.587000i | \(-0.199691\pi\) |
−0.437498 | + | 0.899219i | \(0.644135\pi\) | |||||||
\(60\) | −0.789458 | + | 0.767051i | −0.101919 | + | 0.0990259i | ||||
\(61\) | −0.871745 | + | 2.39510i | −0.111616 | + | 0.306661i | −0.982906 | − | 0.184106i | \(-0.941061\pi\) |
0.871291 | + | 0.490767i | \(0.163283\pi\) | |||||||
\(62\) | −3.60270 | − | 6.24006i | −0.457543 | − | 0.792488i | ||||
\(63\) | 7.57273 | + | 2.37777i | 0.954074 | + | 0.299571i | ||||
\(64\) | 0.500000 | − | 0.866025i | 0.0625000 | − | 0.108253i | ||||
\(65\) | −0.209646 | − | 0.249846i | −0.0260033 | − | 0.0309896i | ||||
\(66\) | 9.15202 | − | 4.10833i | 1.12654 | − | 0.505701i | ||||
\(67\) | −1.36783 | + | 7.75736i | −0.167107 | + | 0.947712i | 0.779758 | + | 0.626081i | \(0.215342\pi\) |
−0.946865 | + | 0.321631i | \(0.895769\pi\) | |||||||
\(68\) | 0.578974 | − | 3.28353i | 0.0702109 | − | 0.398186i | ||||
\(69\) | −2.45916 | − | 0.250865i | −0.296048 | − | 0.0302006i | ||||
\(70\) | −1.67684 | + | 0.123659i | −0.200421 | + | 0.0147801i | ||||
\(71\) | −2.67680 | − | 1.54545i | −0.317678 | − | 0.183412i | 0.332679 | − | 0.943040i | \(-0.392047\pi\) |
−0.650357 | + | 0.759629i | \(0.725381\pi\) | |||||||
\(72\) | 2.78837 | + | 1.10678i | 0.328613 | + | 0.130435i | ||||
\(73\) | 11.5451 | − | 6.66557i | 1.35125 | − | 0.780146i | 0.362827 | − | 0.931856i | \(-0.381811\pi\) |
0.988425 | + | 0.151710i | \(0.0484781\pi\) | |||||||
\(74\) | 0.129663 | − | 0.356246i | 0.0150730 | − | 0.0414128i | ||||
\(75\) | −7.65902 | − | 2.17086i | −0.884388 | − | 0.250669i | ||||
\(76\) | −2.64485 | + | 3.15200i | −0.303385 | + | 0.361560i | ||||
\(77\) | 14.7462 | + | 4.16785i | 1.68049 | + | 0.474970i | ||||
\(78\) | −0.387227 | + | 0.800135i | −0.0438448 | + | 0.0905975i | ||||
\(79\) | −0.238325 | − | 1.35161i | −0.0268136 | − | 0.152068i | 0.968461 | − | 0.249164i | \(-0.0801557\pi\) |
−0.995275 | + | 0.0970961i | \(0.969045\pi\) | |||||||
\(80\) | −0.635508 | −0.0710520 | ||||||||
\(81\) | −2.07029 | + | 8.75865i | −0.230032 | + | 0.973183i | ||||
\(82\) | 5.05158i | 0.557854i | ||||||||
\(83\) | 1.33547 | + | 7.57382i | 0.146587 | + | 0.831334i | 0.966079 | + | 0.258245i | \(0.0831442\pi\) |
−0.819493 | + | 0.573090i | \(0.805745\pi\) | |||||||
\(84\) | 2.17909 | + | 4.03133i | 0.237758 | + | 0.439854i | ||||
\(85\) | −1.99111 | + | 0.724706i | −0.215966 | + | 0.0786054i | ||||
\(86\) | −5.89787 | + | 7.02881i | −0.635984 | + | 0.757936i | ||||
\(87\) | −1.47363 | + | 5.19913i | −0.157990 | + | 0.557405i | ||||
\(88\) | 5.44259 | + | 1.98094i | 0.580182 | + | 0.211169i | ||||
\(89\) | 2.08703 | + | 3.61484i | 0.221225 | + | 0.383172i | 0.955180 | − | 0.296025i | \(-0.0956613\pi\) |
−0.733955 | + | 0.679198i | \(0.762328\pi\) | |||||||
\(90\) | −0.276882 | − | 1.88631i | −0.0291859 | − | 0.198835i | ||||
\(91\) | −1.23833 | + | 0.556988i | −0.129813 | + | 0.0583882i | ||||
\(92\) | −0.917363 | − | 1.09327i | −0.0956417 | − | 0.113981i | ||||
\(93\) | 12.4157 | + | 1.26655i | 1.28745 | + | 0.131336i | ||||
\(94\) | 5.49047 | + | 0.968119i | 0.566299 | + | 0.0998538i | ||||
\(95\) | 2.57517 | + | 0.454071i | 0.264207 | + | 0.0465867i | ||||
\(96\) | 0.709325 | + | 1.58014i | 0.0723952 | + | 0.161273i | ||||
\(97\) | −11.4055 | − | 13.5925i | −1.15805 | − | 1.38011i | −0.911662 | − | 0.410941i | \(-0.865200\pi\) |
−0.246389 | − | 0.969171i | \(-0.579244\pi\) | |||||||
\(98\) | −1.40332 | + | 6.85789i | −0.141757 | + | 0.692752i | ||||
\(99\) | −3.50856 | + | 17.0177i | −0.352623 | + | 1.71035i | ||||
\(100\) | −2.29806 | − | 3.98036i | −0.229806 | − | 0.398036i | ||||
\(101\) | 17.2906 | + | 6.29325i | 1.72048 | + | 0.626202i | 0.997881 | − | 0.0650697i | \(-0.0207270\pi\) |
0.722595 | + | 0.691272i | \(0.242949\pi\) | |||||||
\(102\) | 4.02432 | + | 4.14187i | 0.398467 | + | 0.410107i | ||||
\(103\) | 9.45121 | − | 11.2635i | 0.931255 | − | 1.10983i | −0.0624778 | − | 0.998046i | \(-0.519900\pi\) |
0.993733 | − | 0.111780i | \(-0.0356553\pi\) | |||||||
\(104\) | −0.482262 | + | 0.175529i | −0.0472897 | + | 0.0172120i | ||||
\(105\) | 1.52629 | − | 2.48027i | 0.148951 | − | 0.242049i | ||||
\(106\) | 0.669225 | + | 3.79536i | 0.0650009 | + | 0.368638i | ||||
\(107\) | 1.98291i | 0.191695i | 0.995396 | + | 0.0958475i | \(0.0305561\pi\) | ||||
−0.995396 | + | 0.0958475i | \(0.969444\pi\) | |||||||
\(108\) | −4.38113 | + | 2.79386i | −0.421575 | + | 0.268840i | ||||
\(109\) | 9.10407 | 0.872012 | 0.436006 | − | 0.899944i | \(-0.356393\pi\) | ||||
0.436006 | + | 0.899944i | \(0.356393\pi\) | |||||||
\(110\) | −0.639162 | − | 3.62487i | −0.0609417 | − | 0.345618i | ||||
\(111\) | 0.368850 | + | 0.543251i | 0.0350097 | + | 0.0515631i | ||||
\(112\) | −0.719601 | + | 2.54601i | −0.0679959 | + | 0.240575i | ||||
\(113\) | 12.8426 | − | 15.3052i | 1.20813 | − | 1.43979i | 0.342204 | − | 0.939626i | \(-0.388827\pi\) |
0.865928 | − | 0.500169i | \(-0.166729\pi\) | |||||||
\(114\) | −1.74527 | − | 6.90978i | −0.163459 | − | 0.647160i | ||||
\(115\) | −0.310203 | + | 0.852277i | −0.0289266 | + | 0.0794752i | ||||
\(116\) | −2.70197 | + | 1.55998i | −0.250872 | + | 0.144841i | ||||
\(117\) | −0.731119 | − | 1.35497i | −0.0675920 | − | 0.125267i | ||||
\(118\) | −3.23109 | − | 1.86547i | −0.297446 | − | 0.171731i | ||||
\(119\) | 0.648776 | + | 8.79752i | 0.0594732 | + | 0.806467i | ||||
\(120\) | 0.644267 | − | 0.892486i | 0.0588133 | − | 0.0814725i | ||||
\(121\) | −3.91506 | + | 22.2034i | −0.355914 | + | 2.01849i | ||||
\(122\) | 0.442597 | − | 2.51009i | 0.0400708 | − | 0.227253i | ||||
\(123\) | −7.09427 | − | 5.12121i | −0.639669 | − | 0.461764i | ||||
\(124\) | 4.63154 | + | 5.51965i | 0.415925 | + | 0.495680i | ||||
\(125\) | −3.04921 | + | 5.28138i | −0.272730 | + | 0.472381i | ||||
\(126\) | −7.87058 | − | 1.02665i | −0.701167 | − | 0.0914616i | ||||
\(127\) | −7.02060 | − | 12.1600i | −0.622978 | − | 1.07903i | −0.988928 | − | 0.148395i | \(-0.952589\pi\) |
0.365951 | − | 0.930634i | \(-0.380744\pi\) | |||||||
\(128\) | −0.342020 | + | 0.939693i | −0.0302306 | + | 0.0830579i | ||||
\(129\) | −3.89186 | − | 15.4085i | −0.342659 | − | 1.35664i | ||||
\(130\) | 0.249846 | + | 0.209646i | 0.0219129 | + | 0.0183871i | ||||
\(131\) | 2.64877 | − | 0.964074i | 0.231424 | − | 0.0842315i | −0.223705 | − | 0.974657i | \(-0.571815\pi\) |
0.455129 | + | 0.890425i | \(0.349593\pi\) | |||||||
\(132\) | −8.29957 | + | 5.63515i | −0.722385 | + | 0.490477i | ||||
\(133\) | 4.73505 | − | 9.80263i | 0.410581 | − | 0.849996i | ||||
\(134\) | − | 7.87703i | − | 0.680472i | ||||||
\(135\) | 2.92977 | + | 1.52347i | 0.252154 | + | 0.131119i | ||||
\(136\) | 3.33418i | 0.285904i | ||||||||
\(137\) | −16.1337 | + | 2.84480i | −1.37839 | + | 0.243048i | −0.813235 | − | 0.581935i | \(-0.802296\pi\) |
−0.565157 | + | 0.824983i | \(0.691185\pi\) | |||||||
\(138\) | 2.46536 | − | 0.179975i | 0.209865 | − | 0.0153205i | ||||
\(139\) | 4.76880 | + | 13.1022i | 0.404484 | + | 1.11131i | 0.960047 | + | 0.279837i | \(0.0902805\pi\) |
−0.555563 | + | 0.831474i | \(0.687497\pi\) | |||||||
\(140\) | 1.62989 | − | 0.412961i | 0.137751 | − | 0.0349016i | ||||
\(141\) | −6.92574 | + | 6.72917i | −0.583253 | + | 0.566699i | ||||
\(142\) | 2.90450 | + | 1.05715i | 0.243740 | + | 0.0887143i | ||||
\(143\) | −1.48623 | − | 2.57423i | −0.124285 | − | 0.215268i | ||||
\(144\) | −2.93820 | − | 0.605771i | −0.244850 | − | 0.0504809i | ||||
\(145\) | 1.71712 | + | 0.991381i | 0.142599 | + | 0.0823297i | ||||
\(146\) | −10.2122 | + | 8.56909i | −0.845171 | + | 0.709183i | ||||
\(147\) | −8.20833 | − | 8.92319i | −0.677012 | − | 0.735972i | ||||
\(148\) | −0.0658317 | + | 0.373350i | −0.00541133 | + | 0.0306892i | ||||
\(149\) | 21.7811 | + | 3.84060i | 1.78438 | + | 0.314634i | 0.965708 | − | 0.259629i | \(-0.0836004\pi\) |
0.818671 | + | 0.574263i | \(0.194711\pi\) | |||||||
\(150\) | 7.91963 | + | 0.807901i | 0.646635 | + | 0.0659649i | ||||
\(151\) | 8.15215 | − | 6.84046i | 0.663412 | − | 0.556669i | −0.247695 | − | 0.968838i | \(-0.579673\pi\) |
0.911107 | + | 0.412169i | \(0.135229\pi\) | |||||||
\(152\) | 2.05732 | − | 3.56339i | 0.166871 | − | 0.289029i | ||||
\(153\) | −9.89649 | + | 1.45266i | −0.800084 | + | 0.117440i | ||||
\(154\) | −15.2459 | − | 1.54388i | −1.22855 | − | 0.124409i | ||||
\(155\) | 1.56614 | − | 4.30294i | 0.125795 | − | 0.345620i | ||||
\(156\) | 0.242402 | − | 0.855220i | 0.0194077 | − | 0.0684724i | ||||
\(157\) | 6.16172 | − | 7.34326i | 0.491759 | − | 0.586056i | −0.461905 | − | 0.886929i | \(-0.652834\pi\) |
0.953664 | + | 0.300874i | \(0.0972783\pi\) | |||||||
\(158\) | 0.469408 | + | 1.28969i | 0.0373441 | + | 0.102602i | ||||
\(159\) | −6.00853 | − | 2.90784i | −0.476507 | − | 0.230607i | ||||
\(160\) | 0.625853 | − | 0.110355i | 0.0494780 | − | 0.00872431i | ||||
\(161\) | 3.06319 | + | 2.20781i | 0.241413 | + | 0.174000i | ||||
\(162\) | 0.517911 | − | 8.98509i | 0.0406910 | − | 0.705935i | ||||
\(163\) | −11.0908 | −0.868699 | −0.434350 | − | 0.900744i | \(-0.643022\pi\) | ||||
−0.434350 | + | 0.900744i | \(0.643022\pi\) | |||||||
\(164\) | −0.877198 | − | 4.97484i | −0.0684976 | − | 0.388469i | ||||
\(165\) | 5.73862 | + | 2.77721i | 0.446751 | + | 0.216206i | ||||
\(166\) | −2.63036 | − | 7.22685i | −0.204155 | − | 0.560913i | ||||
\(167\) | −16.7437 | − | 14.0496i | −1.29567 | − | 1.08719i | −0.990876 | − | 0.134775i | \(-0.956969\pi\) |
−0.304791 | − | 0.952419i | \(-0.598587\pi\) | |||||||
\(168\) | −2.84601 | − | 3.59169i | −0.219575 | − | 0.277105i | ||||
\(169\) | −11.9685 | − | 4.35618i | −0.920654 | − | 0.335091i | ||||
\(170\) | 1.83502 | − | 1.05945i | 0.140740 | − | 0.0812560i | ||||
\(171\) | 11.4732 | + | 4.55402i | 0.877376 | + | 0.348255i | ||||
\(172\) | 4.58773 | − | 7.94618i | 0.349811 | − | 0.605891i | ||||
\(173\) | −15.6285 | + | 13.1139i | −1.18821 | + | 0.997030i | −0.188325 | + | 0.982107i | \(0.560306\pi\) |
−0.999889 | + | 0.0149227i | \(0.995250\pi\) | |||||||
\(174\) | 0.548423 | − | 5.37604i | 0.0415758 | − | 0.407556i | ||||
\(175\) | 8.48036 | + | 8.71517i | 0.641055 | + | 0.658805i | ||||
\(176\) | −5.70389 | − | 1.00575i | −0.429947 | − | 0.0758113i | ||||
\(177\) | 5.89543 | − | 2.64645i | 0.443128 | − | 0.198920i | ||||
\(178\) | −2.68303 | − | 3.19751i | −0.201102 | − | 0.239664i | ||||
\(179\) | −13.4545 | − | 7.76794i | −1.00563 | − | 0.580603i | −0.0957240 | − | 0.995408i | \(-0.530517\pi\) |
−0.909911 | + | 0.414805i | \(0.863850\pi\) | |||||||
\(180\) | 0.600230 | + | 1.80957i | 0.0447385 | + | 0.134878i | ||||
\(181\) | −5.90948 | + | 3.41184i | −0.439248 | + | 0.253600i | −0.703279 | − | 0.710914i | \(-0.748281\pi\) |
0.264030 | + | 0.964514i | \(0.414948\pi\) | |||||||
\(182\) | 1.12280 | − | 0.763561i | 0.0832276 | − | 0.0565989i | ||||
\(183\) | 3.07639 | + | 3.16625i | 0.227413 | + | 0.234056i | ||||
\(184\) | 1.09327 | + | 0.917363i | 0.0805970 | + | 0.0676289i | ||||
\(185\) | 0.226397 | − | 0.0824019i | 0.0166451 | − | 0.00605831i | ||||
\(186\) | −12.4470 | + | 0.908647i | −0.912658 | + | 0.0666252i | ||||
\(187\) | −19.0178 | + | 3.35335i | −1.39072 | + | 0.245221i | ||||
\(188\) | −5.57517 | −0.406611 | ||||||||
\(189\) | 9.42085 | − | 10.0124i | 0.685266 | − | 0.728293i | ||||
\(190\) | −2.61489 | −0.189704 | ||||||||
\(191\) | −15.6102 | + | 2.75250i | −1.12951 | + | 0.199164i | −0.707015 | − | 0.707199i | \(-0.749959\pi\) |
−0.422500 | + | 0.906363i | \(0.638847\pi\) | |||||||
\(192\) | −0.972938 | − | 1.43297i | −0.0702158 | − | 0.103415i | ||||
\(193\) | 10.2343 | − | 3.72497i | 0.736679 | − | 0.268129i | 0.0536896 | − | 0.998558i | \(-0.482902\pi\) |
0.682989 | + | 0.730429i | \(0.260680\pi\) | |||||||
\(194\) | 13.5925 | + | 11.4055i | 0.975886 | + | 0.818866i | ||||
\(195\) | −0.547708 | + | 0.138340i | −0.0392222 | + | 0.00990673i | ||||
\(196\) | 0.191138 | − | 6.99739i | 0.0136527 | − | 0.499814i | ||||
\(197\) | 19.7320 | − | 11.3923i | 1.40585 | − | 0.811667i | 0.410864 | − | 0.911697i | \(-0.365227\pi\) |
0.994984 | + | 0.100030i | \(0.0318938\pi\) | |||||||
\(198\) | 0.500154 | − | 17.3685i | 0.0355444 | − | 1.23432i | ||||
\(199\) | −9.06480 | − | 5.23356i | −0.642586 | − | 0.370997i | 0.143024 | − | 0.989719i | \(-0.454317\pi\) |
−0.785610 | + | 0.618722i | \(0.787651\pi\) | |||||||
\(200\) | 2.95434 | + | 3.52084i | 0.208903 | + | 0.248961i | ||||
\(201\) | 11.0622 | + | 7.98560i | 0.780270 | + | 0.563261i | ||||
\(202\) | −18.1207 | − | 3.19517i | −1.27497 | − | 0.224811i | ||||
\(203\) | 5.91607 | − | 5.75668i | 0.415227 | − | 0.404040i | ||||
\(204\) | −4.68241 | − | 3.38013i | −0.327834 | − | 0.236657i | ||||
\(205\) | −2.45925 | + | 2.06355i | −0.171761 | + | 0.144125i | ||||
\(206\) | −7.35173 | + | 12.7336i | −0.512220 | + | 0.887190i | ||||
\(207\) | −2.24659 | + | 3.64472i | −0.156149 | + | 0.253326i | ||||
\(208\) | 0.444455 | − | 0.256606i | 0.0308174 | − | 0.0177924i | ||||
\(209\) | 22.3944 | + | 8.15088i | 1.54905 | + | 0.563808i | ||||
\(210\) | −1.07241 | + | 2.70762i | −0.0740033 | + | 0.186844i | ||||
\(211\) | −7.28487 | − | 6.11273i | −0.501511 | − | 0.420818i | 0.356619 | − | 0.934250i | \(-0.383929\pi\) |
−0.858130 | + | 0.513432i | \(0.828374\pi\) | |||||||
\(212\) | −1.31812 | − | 3.62149i | −0.0905286 | − | 0.248725i | ||||
\(213\) | −4.42916 | + | 3.00726i | −0.303481 | + | 0.206054i | ||||
\(214\) | −0.344329 | − | 1.95278i | −0.0235378 | − | 0.133490i | ||||
\(215\) | −5.83108 | −0.397676 | ||||||||
\(216\) | 3.82942 | − | 3.51219i | 0.260559 | − | 0.238975i | ||||
\(217\) | −15.4653 | − | 11.1467i | −1.04985 | − | 0.756686i | ||||
\(218\) | −8.96576 | + | 1.58091i | −0.607238 | + | 0.107072i | ||||
\(219\) | −1.68114 | − | 23.0289i | −0.113601 | − | 1.55615i | ||||
\(220\) | 1.25890 | + | 3.45881i | 0.0848753 | + | 0.233193i | ||||
\(221\) | 1.09990 | − | 1.31081i | 0.0739873 | − | 0.0881747i | ||||
\(222\) | −0.457581 | − | 0.470948i | −0.0307108 | − | 0.0316079i | ||||
\(223\) | 8.69071 | − | 23.8775i | 0.581973 | − | 1.59896i | −0.202830 | − | 0.979214i | \(-0.565014\pi\) |
0.784804 | − | 0.619745i | \(-0.212764\pi\) | |||||||
\(224\) | 0.266558 | − | 2.63229i | 0.0178102 | − | 0.175877i | ||||
\(225\) | −9.16337 | + | 10.3030i | −0.610892 | + | 0.686868i | ||||
\(226\) | −9.98978 | + | 17.3028i | −0.664510 | + | 1.15097i | ||||
\(227\) | −8.24824 | + | 6.92110i | −0.547455 | + | 0.459369i | −0.874078 | − | 0.485785i | \(-0.838534\pi\) |
0.326623 | + | 0.945155i | \(0.394089\pi\) | |||||||
\(228\) | 2.91862 | + | 6.50174i | 0.193291 | + | 0.430588i | ||||
\(229\) | −11.3312 | − | 1.99800i | −0.748788 | − | 0.132032i | −0.213784 | − | 0.976881i | \(-0.568579\pi\) |
−0.535004 | + | 0.844849i | \(0.679690\pi\) | |||||||
\(230\) | 0.157494 | − | 0.893195i | 0.0103849 | − | 0.0588955i | ||||
\(231\) | 17.6242 | − | 19.8457i | 1.15959 | − | 1.30575i | ||||
\(232\) | 2.39003 | − | 2.00547i | 0.156913 | − | 0.131666i | ||||
\(233\) | 10.9246 | + | 6.30731i | 0.715694 | + | 0.413206i | 0.813166 | − | 0.582032i | \(-0.197742\pi\) |
−0.0974721 | + | 0.995238i | \(0.531076\pi\) | |||||||
\(234\) | 0.955300 | + | 1.20743i | 0.0624499 | + | 0.0789321i | ||||
\(235\) | 1.77153 | + | 3.06839i | 0.115562 | + | 0.200159i | ||||
\(236\) | 3.50594 | + | 1.27606i | 0.228217 | + | 0.0830643i | ||||
\(237\) | −2.28707 | − | 0.648242i | −0.148561 | − | 0.0421079i | ||||
\(238\) | −2.16659 | − | 8.55121i | −0.140439 | − | 0.554292i | ||||
\(239\) | 5.39158 | + | 14.8133i | 0.348753 | + | 0.958190i | 0.982764 | + | 0.184866i | \(0.0591851\pi\) |
−0.634011 | + | 0.773324i | \(0.718593\pi\) | |||||||
\(240\) | −0.479501 | + | 0.990803i | −0.0309516 | + | 0.0639561i | ||||
\(241\) | −10.2809 | + | 1.81281i | −0.662254 | + | 0.116773i | −0.494665 | − | 0.869084i | \(-0.664709\pi\) |
−0.167589 | + | 0.985857i | \(0.553598\pi\) | |||||||
\(242\) | − | 22.5459i | − | 1.44931i | ||||||
\(243\) | 12.0933 | + | 9.83626i | 0.775786 | + | 0.630997i | ||||
\(244\) | 2.54881i | 0.163171i | ||||||||
\(245\) | −3.91186 | + | 2.11825i | −0.249920 | + | 0.135330i | ||||
\(246\) | 7.87578 | + | 3.81150i | 0.502141 | + | 0.243012i | ||||
\(247\) | −1.98434 | + | 0.722240i | −0.126260 | + | 0.0459550i | ||||
\(248\) | −5.51965 | − | 4.63154i | −0.350498 | − | 0.294103i | ||||
\(249\) | 12.8158 | + | 3.63247i | 0.812166 | + | 0.230199i | ||||
\(250\) | 2.08578 | − | 5.73064i | 0.131916 | − | 0.362437i | ||||
\(251\) | 2.66950 | + | 4.62370i | 0.168497 | + | 0.291846i | 0.937892 | − | 0.346928i | \(-0.112775\pi\) |
−0.769395 | + | 0.638774i | \(0.779442\pi\) | |||||||
\(252\) | 7.92928 | − | 0.355655i | 0.499498 | − | 0.0224041i | ||||
\(253\) | −4.13298 | + | 7.15854i | −0.259838 | + | 0.450053i | ||||
\(254\) | 9.02551 | + | 10.7562i | 0.566311 | + | 0.674903i | ||||
\(255\) | −0.372457 | + | 3.65109i | −0.0233242 | + | 0.228640i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −3.11009 | + | 17.6382i | −0.194002 | + | 1.10024i | 0.719831 | + | 0.694149i | \(0.244219\pi\) |
−0.913833 | + | 0.406090i | \(0.866892\pi\) | |||||||
\(258\) | 6.50839 | + | 14.4986i | 0.405194 | + | 0.902641i | ||||
\(259\) | −0.0737684 | − | 1.00031i | −0.00458374 | − | 0.0621564i | ||||
\(260\) | −0.282455 | − | 0.163075i | −0.0175171 | − | 0.0101135i | ||||
\(261\) | 6.99394 | + | 6.22032i | 0.432914 | + | 0.385028i | ||||
\(262\) | −2.44112 | + | 1.40938i | −0.150813 | + | 0.0870719i | ||||
\(263\) | 1.75653 | − | 4.82602i | 0.108312 | − | 0.297585i | −0.873682 | − | 0.486498i | \(-0.838274\pi\) |
0.981994 | + | 0.188913i | \(0.0604964\pi\) | |||||||
\(264\) | 7.19495 | − | 6.99074i | 0.442819 | − | 0.430250i | ||||
\(265\) | −1.57431 | + | 1.87619i | −0.0967092 | + | 0.115253i | ||||
\(266\) | −2.96091 | + | 10.4759i | −0.181545 | + | 0.642321i | ||||
\(267\) | 7.21049 | − | 0.526376i | 0.441275 | − | 0.0322137i | ||||
\(268\) | 1.36783 | + | 7.75736i | 0.0835536 | + | 0.473856i | ||||
\(269\) | −18.0618 | −1.10125 | −0.550624 | − | 0.834754i | \(-0.685610\pi\) | ||||
−0.550624 | + | 0.834754i | \(0.685610\pi\) | |||||||
\(270\) | −3.14981 | − | 0.991572i | −0.191691 | − | 0.0603452i | ||||
\(271\) | 9.13586i | 0.554964i | 0.960731 | + | 0.277482i | \(0.0894999\pi\) | ||||
−0.960731 | + | 0.277482i | \(0.910500\pi\) | |||||||
\(272\) | −0.578974 | − | 3.28353i | −0.0351055 | − | 0.199093i | ||||
\(273\) | −0.0659574 | + | 2.35091i | −0.00399193 | + | 0.142283i | ||||
\(274\) | 15.3946 | − | 5.60316i | 0.930020 | − | 0.338500i | ||||
\(275\) | −17.1112 | + | 20.3923i | −1.03184 | + | 1.22970i | ||||
\(276\) | −2.39665 | + | 0.605345i | −0.144262 | + | 0.0364375i | ||||
\(277\) | 26.8186 | + | 9.76116i | 1.61137 | + | 0.586492i | 0.981711 | − | 0.190378i | \(-0.0609714\pi\) |
0.629661 | + | 0.776870i | \(0.283194\pi\) | |||||||
\(278\) | −6.97152 | − | 12.0750i | −0.418124 | − | 0.724212i | ||||
\(279\) | 11.3425 | − | 18.4013i | 0.679056 | − | 1.10166i | ||||
\(280\) | −1.53342 | + | 0.689716i | −0.0916395 | + | 0.0412184i | ||||
\(281\) | 3.73499 | + | 4.45119i | 0.222811 | + | 0.265536i | 0.865857 | − | 0.500292i | \(-0.166774\pi\) |
−0.643046 | + | 0.765828i | \(0.722330\pi\) | |||||||
\(282\) | 5.65202 | − | 7.82959i | 0.336573 | − | 0.466245i | ||||
\(283\) | −22.8862 | − | 4.03545i | −1.36044 | − | 0.239883i | −0.554652 | − | 0.832083i | \(-0.687149\pi\) |
−0.805791 | + | 0.592200i | \(0.798260\pi\) | |||||||
\(284\) | −3.04395 | − | 0.536730i | −0.180625 | − | 0.0318491i | ||||
\(285\) | 2.65093 | − | 3.67227i | 0.157028 | − | 0.217526i | ||||
\(286\) | 1.91066 | + | 2.27704i | 0.112980 | + | 0.134644i | ||||
\(287\) | 5.48247 | + | 12.1890i | 0.323620 | + | 0.719494i | ||||
\(288\) | 2.99876 | + | 0.0863543i | 0.176703 | + | 0.00508848i | ||||
\(289\) | 2.94162 | + | 5.09504i | 0.173037 | + | 0.299708i | ||||
\(290\) | −1.86319 | − | 0.678145i | −0.109410 | − | 0.0398220i | ||||
\(291\) | −29.7973 | + | 7.52620i | −1.74675 | + | 0.441194i | ||||
\(292\) | 8.56909 | − | 10.2122i | 0.501468 | − | 0.597626i | ||||
\(293\) | −15.6864 | + | 5.70937i | −0.916407 | + | 0.333545i | −0.756808 | − | 0.653637i | \(-0.773242\pi\) |
−0.159599 | + | 0.987182i | \(0.551020\pi\) | |||||||
\(294\) | 9.63313 | + | 7.36226i | 0.561815 | + | 0.429376i | ||||
\(295\) | −0.411727 | − | 2.33502i | −0.0239717 | − | 0.135950i | ||||
\(296\) | − | 0.379109i | − | 0.0220353i | ||||||
\(297\) | 23.8846 | + | 18.3102i | 1.38593 | + | 1.06247i | ||||
\(298\) | −22.1171 | −1.28121 | ||||||||
\(299\) | −0.127186 | − | 0.721310i | −0.00735538 | − | 0.0417145i | ||||
\(300\) | −7.93960 | + | 0.579602i | −0.458393 | + | 0.0334633i | ||||
\(301\) | −6.60267 | + | 23.3608i | −0.380572 | + | 1.34650i | ||||
\(302\) | −6.84046 | + | 8.15215i | −0.393624 | + | 0.469103i | ||||
\(303\) | 22.8576 | − | 22.2089i | 1.31314 | − | 1.27587i | ||||
\(304\) | −1.40729 | + | 3.86651i | −0.0807138 | + | 0.221759i | ||||
\(305\) | 1.40278 | − | 0.809895i | 0.0803229 | − | 0.0463745i | ||||
\(306\) | 9.49389 | − | 3.14909i | 0.542730 | − | 0.180022i | ||||
\(307\) | 3.43942 | + | 1.98575i | 0.196298 | + | 0.113333i | 0.594928 | − | 0.803779i | \(-0.297181\pi\) |
−0.398630 | + | 0.917112i | \(0.630514\pi\) | |||||||
\(308\) | 15.2824 | − | 1.12700i | 0.870795 | − | 0.0642170i | ||||
\(309\) | −10.4295 | − | 23.2336i | −0.593316 | − | 1.32171i | ||||
\(310\) | −0.795150 | + | 4.50952i | −0.0451615 | + | 0.256124i | ||||
\(311\) | −0.777795 | + | 4.41110i | −0.0441047 | + | 0.250130i | −0.998887 | − | 0.0471771i | \(-0.984977\pi\) |
0.954782 | + | 0.297307i | \(0.0960886\pi\) | |||||||
\(312\) | −0.0902117 | + | 0.884320i | −0.00510723 | + | 0.0500648i | ||||
\(313\) | −13.5703 | − | 16.1725i | −0.767039 | − | 0.914122i | 0.231232 | − | 0.972899i | \(-0.425724\pi\) |
−0.998271 | + | 0.0587768i | \(0.981280\pi\) | |||||||
\(314\) | −4.79297 | + | 8.30167i | −0.270483 | + | 0.468490i | ||||
\(315\) | −2.71530 | − | 4.25100i | −0.152990 | − | 0.239517i | ||||
\(316\) | −0.686228 | − | 1.18858i | −0.0386034 | − | 0.0668630i | ||||
\(317\) | −4.74188 | + | 13.0282i | −0.266331 | + | 0.731737i | 0.732376 | + | 0.680900i | \(0.238411\pi\) |
−0.998707 | + | 0.0508372i | \(0.983811\pi\) | |||||||
\(318\) | 6.42219 | + | 1.82029i | 0.360138 | + | 0.102077i | ||||
\(319\) | 13.8428 | + | 11.6155i | 0.775047 | + | 0.650342i | ||||
\(320\) | −0.597182 | + | 0.217357i | −0.0333835 | + | 0.0121506i | ||||
\(321\) | 3.09150 | + | 1.49614i | 0.172551 | + | 0.0835061i | ||||
\(322\) | −3.40004 | − | 1.64235i | −0.189477 | − | 0.0915246i | ||||
\(323\) | 13.7190i | 0.763344i | ||||||||
\(324\) | 1.05020 | + | 8.93852i | 0.0583445 | + | 0.496584i | ||||
\(325\) | − | 2.35879i | − | 0.130842i | ||||||
\(326\) | 10.9223 | − | 1.92590i | 0.604931 | − | 0.106666i | ||||
\(327\) | 6.86916 | − | 14.1939i | 0.379866 | − | 0.784925i | ||||
\(328\) | 1.72774 | + | 4.74693i | 0.0953986 | + | 0.262106i | ||||
\(329\) | 14.2987 | − | 3.62282i | 0.788313 | − | 0.199733i | ||||
\(330\) | −6.13369 | − | 1.73852i | −0.337649 | − | 0.0957024i | ||||
\(331\) | −0.858086 | − | 0.312318i | −0.0471647 | − | 0.0171665i | 0.318330 | − | 0.947980i | \(-0.396878\pi\) |
−0.365495 | + | 0.930813i | \(0.619100\pi\) | |||||||
\(332\) | 3.84533 | + | 6.66030i | 0.211040 | + | 0.365532i | ||||
\(333\) | 1.12527 | − | 0.165173i | 0.0616644 | − | 0.00905141i | ||||
\(334\) | 18.9290 | + | 10.9287i | 1.03575 | + | 0.597991i | ||||
\(335\) | 3.83475 | − | 3.21774i | 0.209515 | − | 0.175804i | ||||
\(336\) | 3.42647 | + | 3.04292i | 0.186929 | + | 0.166005i | ||||
\(337\) | −1.72863 | + | 9.80357i | −0.0941647 | + | 0.534035i | 0.900835 | + | 0.434161i | \(0.142955\pi\) |
−0.995000 | + | 0.0998738i | \(0.968156\pi\) | |||||||
\(338\) | 12.5431 | + | 2.21169i | 0.682256 | + | 0.120300i | ||||
\(339\) | −14.1720 | − | 31.5706i | −0.769718 | − | 1.71468i | ||||
\(340\) | −1.62317 | + | 1.36200i | −0.0880287 | + | 0.0738649i | ||||
\(341\) | 20.8664 | − | 36.1417i | 1.12998 | − | 1.95718i | ||||
\(342\) | −12.0897 | − | 2.49254i | −0.653735 | − | 0.134781i | ||||
\(343\) | 4.05678 | + | 18.0705i | 0.219046 | + | 0.975715i | ||||
\(344\) | −3.13819 | + | 8.62211i | −0.169200 | + | 0.464873i | ||||
\(345\) | 1.09471 | + | 1.12669i | 0.0589371 | + | 0.0606587i | ||||
\(346\) | 13.1139 | − | 15.6285i | 0.705006 | − | 0.840194i | ||||
\(347\) | −4.67022 | − | 12.8313i | −0.250710 | − | 0.688821i | −0.999657 | − | 0.0261909i | \(-0.991662\pi\) |
0.748946 | − | 0.662631i | \(-0.230560\pi\) | |||||||
\(348\) | 0.393448 | + | 5.38960i | 0.0210910 | + | 0.288913i | ||||
\(349\) | 11.1326 | − | 1.96297i | 0.595912 | − | 0.105075i | 0.132446 | − | 0.991190i | \(-0.457717\pi\) |
0.463466 | + | 0.886115i | \(0.346606\pi\) | |||||||
\(350\) | −9.86490 | − | 7.11017i | −0.527301 | − | 0.380055i | ||||
\(351\) | −2.66414 | + | 0.117520i | −0.142201 | + | 0.00627277i | ||||
\(352\) | 5.79188 | 0.308708 | ||||||||
\(353\) | −3.50744 | − | 19.8917i | −0.186682 | − | 1.05873i | −0.923775 | − | 0.382935i | \(-0.874913\pi\) |
0.737093 | − | 0.675791i | \(-0.236198\pi\) | |||||||
\(354\) | −5.34631 | + | 3.62998i | −0.284153 | + | 0.192931i | ||||
\(355\) | 0.671829 | + | 1.84583i | 0.0356570 | + | 0.0979667i | ||||
\(356\) | 3.19751 | + | 2.68303i | 0.169468 | + | 0.142200i | ||||
\(357\) | 14.2055 | + | 5.62638i | 0.751834 | + | 0.297779i | ||||
\(358\) | 14.5990 | + | 5.31359i | 0.771579 | + | 0.280832i | ||||
\(359\) | 0.0633911 | − | 0.0365989i | 0.00334566 | − | 0.00193162i | −0.498326 | − | 0.866990i | \(-0.666052\pi\) |
0.501672 | + | 0.865058i | \(0.332718\pi\) | |||||||
\(360\) | −0.905341 | − | 1.67785i | −0.0477156 | − | 0.0884307i | ||||
\(361\) | −1.03483 | + | 1.79238i | −0.0544648 | + | 0.0943359i | ||||
\(362\) | 5.22724 | − | 4.38618i | 0.274738 | − | 0.230532i | ||||
\(363\) | 31.6627 | + | 22.8567i | 1.66186 | + | 1.19966i | ||||
\(364\) | −0.973152 | + | 0.946933i | −0.0510070 | + | 0.0496328i | ||||
\(365\) | −8.34334 | − | 1.47116i | −0.436710 | − | 0.0770038i | ||||
\(366\) | −3.57947 | − | 2.58394i | −0.187102 | − | 0.135065i | ||||
\(367\) | 19.7388 | + | 23.5238i | 1.03036 | + | 1.22793i | 0.973295 | + | 0.229559i | \(0.0737285\pi\) |
0.0570611 | + | 0.998371i | \(0.481827\pi\) | |||||||
\(368\) | −1.23596 | − | 0.713582i | −0.0644289 | − | 0.0371980i | ||||
\(369\) | −13.3371 | + | 7.19645i | −0.694300 | + | 0.374632i | ||||
\(370\) | −0.208649 | + | 0.120464i | −0.0108471 | + | 0.00626260i | ||||
\(371\) | 5.73388 | + | 8.43156i | 0.297688 | + | 0.437745i | ||||
\(372\) | 12.1001 | − | 3.05624i | 0.627361 | − | 0.158459i | ||||
\(373\) | −23.4944 | − | 19.7142i | −1.21650 | − | 1.02076i | −0.999000 | − | 0.0446993i | \(-0.985767\pi\) |
−0.217495 | − | 0.976061i | \(-0.569789\pi\) | |||||||
\(374\) | 18.1466 | − | 6.60481i | 0.938337 | − | 0.341527i | ||||
\(375\) | 5.93338 | + | 8.73882i | 0.306399 | + | 0.451271i | ||||
\(376\) | 5.49047 | − | 0.968119i | 0.283150 | − | 0.0499269i | ||||
\(377\) | −1.60120 | −0.0824662 | ||||||||
\(378\) | −7.53910 | + | 11.4962i | −0.387769 | + | 0.591299i | ||||
\(379\) | 10.9028 | 0.560038 | 0.280019 | − | 0.959995i | \(-0.409659\pi\) | ||||
0.280019 | + | 0.959995i | \(0.409659\pi\) | |||||||
\(380\) | 2.57517 | − | 0.454071i | 0.132103 | − | 0.0232934i | ||||
\(381\) | −24.2555 | + | 1.77069i | −1.24265 | + | 0.0907150i | ||||
\(382\) | 14.8951 | − | 5.42137i | 0.762099 | − | 0.277381i | ||||
\(383\) | −4.68369 | − | 3.93008i | −0.239325 | − | 0.200818i | 0.515234 | − | 0.857049i | \(-0.327705\pi\) |
−0.754559 | + | 0.656232i | \(0.772149\pi\) | |||||||
\(384\) | 1.20699 | + | 1.24225i | 0.0615939 | + | 0.0633931i | ||||
\(385\) | −5.47631 | − | 8.05280i | −0.279098 | − | 0.410409i | ||||
\(386\) | −9.43195 | + | 5.44554i | −0.480074 | + | 0.277171i | ||||
\(387\) | −26.9594 | − | 5.55823i | −1.37042 | − | 0.282541i | ||||
\(388\) | −15.3666 | − | 8.87189i | −0.780119 | − | 0.450402i | ||||
\(389\) | −11.8344 | − | 14.1037i | −0.600027 | − | 0.715084i | 0.377473 | − | 0.926021i | \(-0.376793\pi\) |
−0.977500 | + | 0.210937i | \(0.932349\pi\) | |||||||
\(390\) | 0.515365 | − | 0.231347i | 0.0260965 | − | 0.0117147i | ||||
\(391\) | −4.68613 | − | 0.826291i | −0.236988 | − | 0.0417873i | ||||
\(392\) | 1.02685 | + | 6.92427i | 0.0518638 | + | 0.349729i | ||||
\(393\) | 0.495478 | − | 4.85703i | 0.0249936 | − | 0.245005i | ||||
\(394\) | −17.4540 | + | 14.6456i | −0.879320 | + | 0.737837i | ||||
\(395\) | −0.436104 | + | 0.755353i | −0.0219428 | + | 0.0380060i | ||||
\(396\) | 2.52344 | + | 17.1914i | 0.126808 | + | 0.863902i | ||||
\(397\) | 24.3764 | − | 14.0737i | 1.22342 | − | 0.706340i | 0.257772 | − | 0.966206i | \(-0.417012\pi\) |
0.965645 | + | 0.259866i | \(0.0836784\pi\) | |||||||
\(398\) | 9.83588 | + | 3.57997i | 0.493028 | + | 0.179448i | ||||
\(399\) | −11.7103 | − | 14.7785i | −0.586251 | − | 0.739852i | ||||
\(400\) | −3.52084 | − | 2.95434i | −0.176042 | − | 0.147717i | ||||
\(401\) | −10.3696 | − | 28.4901i | −0.517831 | − | 1.42273i | −0.872905 | − | 0.487891i | \(-0.837766\pi\) |
0.355074 | − | 0.934838i | \(-0.384456\pi\) | |||||||
\(402\) | −12.2809 | − | 5.94334i | −0.612513 | − | 0.296427i | ||||
\(403\) | 0.642133 | + | 3.64172i | 0.0319869 | + | 0.181407i | ||||
\(404\) | 18.4002 | 0.915446 | ||||||||
\(405\) | 4.58575 | − | 3.41824i | 0.227868 | − | 0.169854i | ||||
\(406\) | −4.82656 | + | 6.69654i | −0.239538 | + | 0.332344i | ||||
\(407\) | 2.16240 | − | 0.381289i | 0.107186 | − | 0.0188998i | ||||
\(408\) | 5.19823 | + | 2.51569i | 0.257351 | + | 0.124545i | ||||
\(409\) | −3.44095 | − | 9.45394i | −0.170144 | − | 0.467467i | 0.825088 | − | 0.565005i | \(-0.191126\pi\) |
−0.995232 | + | 0.0975374i | \(0.968903\pi\) | |||||||
\(410\) | 2.06355 | − | 2.45925i | 0.101912 | − | 0.121454i | ||||
\(411\) | −7.73785 | + | 27.3000i | −0.381680 | + | 1.34661i | ||||
\(412\) | 5.02888 | − | 13.8167i | 0.247755 | − | 0.680702i | ||||
\(413\) | −9.82092 | − | 0.994514i | −0.483256 | − | 0.0489369i | ||||
\(414\) | 1.57956 | − | 3.97947i | 0.0776311 | − | 0.195580i | ||||
\(415\) | 2.44374 | − | 4.23268i | 0.119958 | − | 0.207774i | ||||
\(416\) | −0.393143 | + | 0.329886i | −0.0192754 | + | 0.0161740i | ||||
\(417\) | 24.0254 | + | 2.45089i | 1.17653 | + | 0.120021i | ||||
\(418\) | −23.4695 | − | 4.13831i | −1.14793 | − | 0.202411i | ||||
\(419\) | 4.20764 | − | 23.8627i | 0.205556 | − | 1.16577i | −0.691005 | − | 0.722850i | \(-0.742832\pi\) |
0.896562 | − | 0.442919i | \(-0.146057\pi\) | |||||||
\(420\) | 0.585944 | − | 2.85271i | 0.0285912 | − | 0.139198i | ||||
\(421\) | 0.481683 | − | 0.404180i | 0.0234758 | − | 0.0196985i | −0.630974 | − | 0.775804i | \(-0.717345\pi\) |
0.654450 | + | 0.756105i | \(0.272900\pi\) | |||||||
\(422\) | 8.23566 | + | 4.75486i | 0.400905 | + | 0.231463i | ||||
\(423\) | 5.26569 | + | 15.8750i | 0.256027 | + | 0.771869i | ||||
\(424\) | 1.92696 | + | 3.33759i | 0.0935813 | + | 0.162088i | ||||
\(425\) | −14.4002 | − | 5.24123i | −0.698510 | − | 0.254237i | ||||
\(426\) | 3.83967 | − | 3.73069i | 0.186033 | − | 0.180753i | ||||
\(427\) | −1.65625 | − | 6.53697i | −0.0801516 | − | 0.316346i | ||||
\(428\) | 0.678195 | + | 1.86332i | 0.0327818 | + | 0.0900672i | ||||
\(429\) | −5.13480 | + | 0.374847i | −0.247910 | + | 0.0180978i | ||||
\(430\) | 5.74249 | − | 1.01256i | 0.276928 | − | 0.0488298i | ||||
\(431\) | 2.89765i | 0.139575i | 0.997562 | + | 0.0697875i | \(0.0222321\pi\) | ||||
−0.997562 | + | 0.0697875i | \(0.977768\pi\) | |||||||
\(432\) | −3.16136 | + | 4.12381i | −0.152101 | + | 0.198407i | ||||
\(433\) | 5.77940i | 0.277740i | 0.990311 | + | 0.138870i | \(0.0443471\pi\) | ||||
−0.990311 | + | 0.138870i | \(0.955653\pi\) | |||||||
\(434\) | 17.1660 | + | 8.29182i | 0.823992 | + | 0.398020i | ||||
\(435\) | 2.84123 | − | 1.92911i | 0.136227 | − | 0.0924936i | ||||
\(436\) | 8.55503 | − | 3.11378i | 0.409712 | − | 0.149123i | ||||
\(437\) | 4.49842 | + | 3.77463i | 0.215189 | + | 0.180565i | ||||
\(438\) | 5.65453 | + | 22.3871i | 0.270184 | + | 1.06970i | ||||
\(439\) | −12.9832 | + | 35.6709i | −0.619652 | + | 1.70248i | 0.0881850 | + | 0.996104i | \(0.471893\pi\) |
−0.707837 | + | 0.706376i | \(0.750329\pi\) | |||||||
\(440\) | −1.84039 | − | 3.18766i | −0.0877374 | − | 0.151966i | ||||
\(441\) | −20.1052 | + | 6.06470i | −0.957391 | + | 0.288795i | ||||
\(442\) | −0.855571 | + | 1.48189i | −0.0406954 | + | 0.0704864i | ||||
\(443\) | 1.51019 | + | 1.79977i | 0.0717512 | + | 0.0855097i | 0.800726 | − | 0.599031i | \(-0.204447\pi\) |
−0.728975 | + | 0.684541i | \(0.760003\pi\) | |||||||
\(444\) | 0.532408 | + | 0.384335i | 0.0252670 | + | 0.0182397i | ||||
\(445\) | 0.460627 | − | 2.61235i | 0.0218358 | − | 0.123837i | ||||
\(446\) | −4.41239 | + | 25.0239i | −0.208933 | + | 1.18492i | ||||
\(447\) | 22.4220 | − | 31.0605i | 1.06052 | − | 1.46911i | ||||
\(448\) | 0.194583 | + | 2.63859i | 0.00919320 | + | 0.124661i | ||||
\(449\) | 7.90828 | + | 4.56585i | 0.373215 | + | 0.215476i | 0.674862 | − | 0.737944i | \(-0.264203\pi\) |
−0.301647 | + | 0.953420i | \(0.597536\pi\) | |||||||
\(450\) | 7.23506 | − | 11.7377i | 0.341064 | − | 0.553320i | ||||
\(451\) | −25.3383 | + | 14.6291i | −1.19314 | + | 0.688857i | ||||
\(452\) | 6.83341 | − | 18.7746i | 0.321417 | − | 0.883085i | ||||
\(453\) | −4.51386 | − | 17.8710i | −0.212079 | − | 0.839654i | ||||
\(454\) | 6.92110 | − | 8.24824i | 0.324823 | − | 0.387109i | ||||
\(455\) | 0.830383 | + | 0.234698i | 0.0389290 | + | 0.0110028i | ||||
\(456\) | −4.00330 | − | 5.89615i | −0.187472 | − | 0.276113i | ||||
\(457\) | −4.03573 | − | 22.8878i | −0.188783 | − | 1.07064i | −0.920997 | − | 0.389569i | \(-0.872624\pi\) |
0.732214 | − | 0.681075i | \(-0.238487\pi\) | |||||||
\(458\) | 11.5060 | 0.537641 | ||||||||
\(459\) | −5.20226 | + | 16.5254i | −0.242821 | + | 0.771340i | ||||
\(460\) | 0.906974i | 0.0422879i | ||||||||
\(461\) | 4.45849 | + | 25.2853i | 0.207652 | + | 1.17766i | 0.893211 | + | 0.449638i | \(0.148447\pi\) |
−0.685559 | + | 0.728017i | \(0.740442\pi\) | |||||||
\(462\) | −13.9103 | + | 22.6046i | −0.647165 | + | 1.05166i | ||||
\(463\) | 24.6191 | − | 8.96061i | 1.14415 | − | 0.416435i | 0.300737 | − | 0.953707i | \(-0.402767\pi\) |
0.843409 | + | 0.537272i | \(0.180545\pi\) | |||||||
\(464\) | −2.00547 | + | 2.39003i | −0.0931018 | + | 0.110954i | ||||
\(465\) | −5.52691 | − | 5.68836i | −0.256304 | − | 0.263791i | ||||
\(466\) | −11.8539 | − | 4.31446i | −0.549120 | − | 0.199863i | ||||
\(467\) | 3.89959 | + | 6.75429i | 0.180452 | + | 0.312551i | 0.942034 | − | 0.335516i | \(-0.108911\pi\) |
−0.761583 | + | 0.648068i | \(0.775577\pi\) | |||||||
\(468\) | −1.15045 | − | 1.02320i | −0.0531798 | − | 0.0472974i | ||||
\(469\) | −8.54893 | − | 19.0066i | −0.394753 | − | 0.877641i | ||||
\(470\) | −2.27744 | − | 2.71415i | −0.105050 | − | 0.125194i | ||||
\(471\) | −6.79955 | − | 15.1472i | −0.313307 | − | 0.697945i | ||||
\(472\) | −3.67426 | − | 0.647871i | −0.169122 | − | 0.0298207i | ||||
\(473\) | −52.3358 | − | 9.22822i | −2.40640 | − | 0.424314i | ||||
\(474\) | 2.36489 | + | 0.241248i | 0.108623 | + | 0.0110809i | ||||
\(475\) | 12.1561 | + | 14.4870i | 0.557758 | + | 0.664710i | ||||
\(476\) | 3.61858 | + | 8.04507i | 0.165857 | + | 0.368745i | ||||
\(477\) | −9.06706 | + | 7.17372i | −0.415152 | + | 0.328462i | ||||
\(478\) | −7.88197 | − | 13.6520i | −0.360513 | − | 0.624426i | ||||
\(479\) | −37.5764 | − | 13.6767i | −1.71691 | − | 0.624903i | −0.719344 | − | 0.694655i | \(-0.755557\pi\) |
−0.997564 | + | 0.0697511i | \(0.977779\pi\) | |||||||
\(480\) | 0.300165 | − | 1.05901i | 0.0137006 | − | 0.0483372i | ||||
\(481\) | −0.125063 | + | 0.149044i | −0.00570239 | + | 0.00679584i | ||||
\(482\) | 9.80996 | − | 3.57053i | 0.446831 | − | 0.162633i | ||||
\(483\) | 5.75336 | − | 3.10991i | 0.261787 | − | 0.141506i | ||||
\(484\) | 3.91506 | + | 22.2034i | 0.177957 | + | 1.00925i | ||||
\(485\) | 11.2763i | 0.512031i | ||||||||
\(486\) | −13.6176 | − | 7.58685i | −0.617708 | − | 0.344146i | ||||
\(487\) | 33.9761 | 1.53961 | 0.769803 | − | 0.638282i | \(-0.220355\pi\) | ||||
0.769803 | + | 0.638282i | \(0.220355\pi\) | |||||||
\(488\) | −0.442597 | − | 2.51009i | −0.0200354 | − | 0.113626i | ||||
\(489\) | −8.36819 | + | 17.2914i | −0.378422 | + | 0.781943i | ||||
\(490\) | 3.48460 | − | 2.76536i | 0.157418 | − | 0.124926i | ||||
\(491\) | 10.8839 | − | 12.9710i | 0.491185 | − | 0.585371i | −0.462334 | − | 0.886706i | \(-0.652988\pi\) |
0.953518 | + | 0.301335i | \(0.0974322\pi\) | |||||||
\(492\) | −8.41799 | − | 2.38598i | −0.379512 | − | 0.107568i | ||||
\(493\) | −3.55787 | + | 9.77517i | −0.160239 | + | 0.440252i | ||||
\(494\) | 1.82878 | − | 1.05584i | 0.0822805 | − | 0.0475047i | ||||
\(495\) | 8.65975 | − | 6.85147i | 0.389227 | − | 0.307951i | ||||
\(496\) | 6.24006 | + | 3.60270i | 0.280187 | + | 0.161766i | ||||
\(497\) | 8.15562 | − | 0.601439i | 0.365830 | − | 0.0269782i | ||||
\(498\) | −13.2518 | − | 1.35185i | −0.593829 | − | 0.0605780i | ||||
\(499\) | 2.91424 | − | 16.5275i | 0.130459 | − | 0.739872i | −0.847455 | − | 0.530867i | \(-0.821866\pi\) |
0.977915 | − | 0.209005i | \(-0.0670225\pi\) | |||||||
\(500\) | −1.05898 | + | 6.00577i | −0.0473590 | + | 0.268586i | ||||
\(501\) | −34.5378 | + | 15.5040i | −1.54304 | + | 0.692667i | ||||
\(502\) | −3.43184 | − | 4.08991i | −0.153170 | − | 0.182541i | ||||
\(503\) | 16.1195 | − | 27.9198i | 0.718734 | − | 1.24488i | −0.242768 | − | 0.970084i | \(-0.578055\pi\) |
0.961502 | − | 0.274799i | \(-0.0886113\pi\) | |||||||
\(504\) | −7.74706 | + | 1.72716i | −0.345081 | + | 0.0769337i | ||||
\(505\) | −5.84675 | − | 10.1269i | −0.260177 | − | 0.450640i | ||||
\(506\) | 2.82713 | − | 7.76747i | 0.125681 | − | 0.345306i | ||||
\(507\) | −15.8220 | + | 15.3730i | −0.702680 | + | 0.682737i | ||||
\(508\) | −10.7562 | − | 9.02551i | −0.477229 | − | 0.400442i | ||||
\(509\) | −27.2666 | + | 9.92421i | −1.20857 | + | 0.439883i | −0.866207 | − | 0.499685i | \(-0.833449\pi\) |
−0.342362 | + | 0.939568i | \(0.611227\pi\) | |||||||
\(510\) | −0.267207 | − | 3.66030i | −0.0118321 | − | 0.162081i | ||||
\(511\) | −15.3412 | + | 31.7598i | −0.678655 | + | 1.40497i | ||||
\(512\) | 1.00000i | 0.0441942i | ||||||||
\(513\) | 15.7567 | − | 14.4514i | 0.695677 | − | 0.638047i | ||||
\(514\) | − | 17.9103i | − | 0.789989i | ||||||
\(515\) | −9.20221 | + | 1.62260i | −0.405498 | + | 0.0715002i | ||||
\(516\) | −8.92716 | − | 13.1481i | −0.392996 | − | 0.578814i | ||||
\(517\) | 11.0441 | + | 30.3434i | 0.485719 | + | 1.33450i | ||||
\(518\) | 0.246350 | + | 0.972306i | 0.0108240 | + | 0.0427207i | ||||
\(519\) | 8.65353 | + | 34.2606i | 0.379848 | + | 1.50387i | ||||
\(520\) | 0.306481 | + | 0.111550i | 0.0134401 | + | 0.00489179i | ||||
\(521\) | 10.9353 | + | 18.9406i | 0.479086 | + | 0.829801i | 0.999712 | − | 0.0239834i | \(-0.00763490\pi\) |
−0.520626 | + | 0.853785i | \(0.674302\pi\) | |||||||
\(522\) | −7.96784 | − | 4.91133i | −0.348743 | − | 0.214963i | ||||
\(523\) | 34.5237 | + | 19.9323i | 1.50961 | + | 0.871576i | 0.999937 | + | 0.0112110i | \(0.00356864\pi\) |
0.509678 | + | 0.860365i | \(0.329765\pi\) | |||||||
\(524\) | 2.15930 | − | 1.81187i | 0.0943294 | − | 0.0791517i | ||||
\(525\) | 19.9862 | − | 6.64577i | 0.872267 | − | 0.290045i | ||||
\(526\) | −0.891812 | + | 5.05772i | −0.0388849 | + | 0.220527i | ||||
\(527\) | 23.6591 | + | 4.17174i | 1.03061 | + | 0.181724i | ||||
\(528\) | −5.87171 | + | 8.13393i | −0.255534 | + | 0.353984i | ||||
\(529\) | 16.0587 | − | 13.4749i | 0.698206 | − | 0.585865i | ||||
\(530\) | 1.22460 | − | 2.12106i | 0.0531931 | − | 0.0921331i | ||||
\(531\) | 0.322183 | − | 11.1882i | 0.0139816 | − | 0.485526i | ||||
\(532\) | 1.09679 | − | 10.8309i | 0.0475521 | − | 0.469581i | ||||
\(533\) | 0.886699 | − | 2.43618i | 0.0384072 | − | 0.105523i | ||||
\(534\) | −7.00955 | + | 1.77047i | −0.303333 | + | 0.0766156i | ||||
\(535\) | 0.810012 | − | 0.965334i | 0.0350199 | − | 0.0417350i | ||||
\(536\) | −2.69410 | − | 7.40199i | −0.116368 | − | 0.319717i | ||||
\(537\) | −22.2624 | + | 15.1155i | −0.960693 | + | 0.652280i | ||||
\(538\) | 17.7874 | − | 3.13640i | 0.766869 | − | 0.135220i | ||||
\(539\) | −38.4626 | + | 12.8211i | −1.65670 | + | 0.552245i | ||||
\(540\) | 3.27414 | + | 0.429550i | 0.140897 | + | 0.0184849i | ||||
\(541\) | −12.4848 | −0.536763 | −0.268382 | − | 0.963313i | \(-0.586489\pi\) | ||||
−0.268382 | + | 0.963313i | \(0.586489\pi\) | |||||||
\(542\) | −1.58643 | − | 8.99706i | −0.0681428 | − | 0.386457i | ||||
\(543\) | 0.860510 | + | 11.7876i | 0.0369280 | + | 0.505854i | ||||
\(544\) | 1.14036 | + | 3.13310i | 0.0488924 | + | 0.134331i | ||||
\(545\) | −4.43211 | − | 3.71898i | −0.189851 | − | 0.159304i | ||||
\(546\) | −0.343276 | − | 2.32665i | −0.0146908 | − | 0.0995713i | ||||
\(547\) | −8.02394 | − | 2.92048i | −0.343079 | − | 0.124871i | 0.164734 | − | 0.986338i | \(-0.447324\pi\) |
−0.507813 | + | 0.861468i | \(0.669546\pi\) | |||||||
\(548\) | −14.1877 | + | 8.19128i | −0.606069 | + | 0.349914i | ||||
\(549\) | 7.25760 | − | 2.40732i | 0.309747 | − | 0.102742i | ||||
\(550\) | 13.3101 | − | 23.0538i | 0.567546 | − | 0.983018i | ||||
\(551\) | 9.83414 | − | 8.25182i | 0.418949 | − | 0.351540i | ||||
\(552\) | 2.25512 | − | 1.01232i | 0.0959845 | − | 0.0430873i | ||||
\(553\) | 2.53233 | + | 2.60245i | 0.107686 | + | 0.110667i | ||||
\(554\) | −28.1062 | − | 4.95587i | −1.19412 | − | 0.210555i | ||||
\(555\) | 0.0423498 | − | 0.415143i | 0.00179765 | − | 0.0176219i | ||||
\(556\) | 8.96241 | + | 10.6810i | 0.380091 | + | 0.452975i | ||||
\(557\) | −12.2712 | − | 7.08480i | −0.519949 | − | 0.300193i | 0.216965 | − | 0.976179i | \(-0.430384\pi\) |
−0.736914 | + | 0.675987i | \(0.763718\pi\) | |||||||
\(558\) | −7.97480 | + | 20.0913i | −0.337600 | + | 0.850535i | ||||
\(559\) | 4.07808 | − | 2.35448i | 0.172484 | − | 0.0995839i | ||||
\(560\) | 1.39036 | − | 0.945514i | 0.0587534 | − | 0.0399552i | ||||
\(561\) | −9.12111 | + | 32.1803i | −0.385094 | + | 1.35865i | ||||
\(562\) | −4.45119 | − | 3.73499i | −0.187762 | − | 0.157551i | ||||
\(563\) | −4.30657 | + | 1.56746i | −0.181500 | + | 0.0660607i | −0.431172 | − | 0.902270i | \(-0.641900\pi\) |
0.249671 | + | 0.968331i | \(0.419677\pi\) | |||||||
\(564\) | −4.20656 | + | 8.69210i | −0.177128 | + | 0.366003i | ||||
\(565\) | −12.5043 | + | 2.20484i | −0.526059 | + | 0.0927583i | ||||
\(566\) | 23.2392 | 0.976819 | ||||||||
\(567\) | −8.50182 | − | 22.2423i | −0.357043 | − | 0.934088i | ||||
\(568\) | 3.09091 | 0.129692 | ||||||||
\(569\) | 34.0499 | − | 6.00391i | 1.42744 | − | 0.251697i | 0.594073 | − | 0.804411i | \(-0.297519\pi\) |
0.833371 | + | 0.552714i | \(0.186408\pi\) | |||||||
\(570\) | −1.97298 | + | 4.07681i | −0.0826389 | + | 0.170759i | ||||
\(571\) | 18.2532 | − | 6.64362i | 0.763872 | − | 0.278027i | 0.0694413 | − | 0.997586i | \(-0.477878\pi\) |
0.694431 | + | 0.719559i | \(0.255656\pi\) | |||||||
\(572\) | −2.27704 | − | 1.91066i | −0.0952079 | − | 0.0798889i | ||||
\(573\) | −7.48680 | + | 26.4142i | −0.312765 | + | 1.10347i | ||||
\(574\) | −7.51578 | − | 11.0518i | −0.313703 | − | 0.461293i | ||||
\(575\) | −5.68063 | + | 3.27971i | −0.236899 | + | 0.136774i | ||||
\(576\) | −2.96819 | + | 0.435686i | −0.123675 | + | 0.0181536i | ||||
\(577\) | 13.5159 | + | 7.80342i | 0.562675 | + | 0.324860i | 0.754218 | − | 0.656624i | \(-0.228016\pi\) |
−0.191544 | + | 0.981484i | \(0.561349\pi\) | |||||||
\(578\) | −3.78168 | − | 4.50683i | −0.157297 | − | 0.187459i | ||||
\(579\) | 1.91442 | − | 18.7665i | 0.0795605 | − | 0.779910i | ||||
\(580\) | 1.95264 | + | 0.344303i | 0.0810790 | + | 0.0142964i | ||||
\(581\) | −14.1901 | − | 14.5830i | −0.588705 | − | 0.605005i | ||||
\(582\) | 28.0377 | − | 12.5861i | 1.16220 | − | 0.521711i | ||||
\(583\) | −17.0992 | + | 14.3479i | −0.708177 | + | 0.594231i | ||||
\(584\) | −6.66557 | + | 11.5451i | −0.275823 | + | 0.477740i | ||||
\(585\) | −0.197573 | + | 0.958297i | −0.00816862 | + | 0.0396207i | ||||
\(586\) | 14.4566 | − | 8.34654i | 0.597198 | − | 0.344792i | ||||
\(587\) | 20.1730 | + | 7.34238i | 0.832630 | + | 0.303053i | 0.722938 | − | 0.690913i | \(-0.242791\pi\) |
0.109692 | + | 0.993966i | \(0.465013\pi\) | |||||||
\(588\) | −10.7652 | − | 5.57764i | −0.443950 | − | 0.230018i | ||||
\(589\) | −22.7114 | − | 19.0572i | −0.935809 | − | 0.785237i | ||||
\(590\) | 0.810945 | + | 2.22805i | 0.0333861 | + | 0.0917275i | ||||
\(591\) | −2.87328 | − | 39.3593i | −0.118191 | − | 1.61903i | ||||
\(592\) | 0.0658317 | + | 0.373350i | 0.00270566 | + | 0.0153446i | ||||
\(593\) | 48.5176 | 1.99238 | 0.996189 | − | 0.0872183i | \(-0.0277978\pi\) | ||||
0.996189 | + | 0.0872183i | \(0.0277978\pi\) | |||||||
\(594\) | −26.7013 | − | 13.8845i | −1.09557 | − | 0.569690i | ||||
\(595\) | 3.27792 | − | 4.54790i | 0.134381 | − | 0.186446i | ||||
\(596\) | 21.7811 | − | 3.84060i | 0.892189 | − | 0.157317i | ||||
\(597\) | −14.9990 | + | 10.1839i | −0.613870 | + | 0.416798i | ||||
\(598\) | 0.250508 | + | 0.688266i | 0.0102441 | + | 0.0281453i | ||||
\(599\) | 14.5703 | − | 17.3642i | 0.595327 | − | 0.709483i | −0.381293 | − | 0.924454i | \(-0.624521\pi\) |
0.976620 | + | 0.214971i | \(0.0689657\pi\) | |||||||
\(600\) | 7.71833 | − | 1.94949i | 0.315100 | − | 0.0795877i | ||||
\(601\) | 6.19093 | − | 17.0094i | 0.252533 | − | 0.693829i | −0.747045 | − | 0.664774i | \(-0.768528\pi\) |
0.999578 | − | 0.0290552i | \(-0.00924987\pi\) | |||||||
\(602\) | 2.44580 | − | 24.1525i | 0.0996832 | − | 0.984381i | ||||
\(603\) | 20.7967 | − | 11.2216i | 0.846909 | − | 0.456977i | ||||
\(604\) | 5.32094 | − | 9.21613i | 0.216506 | − | 0.374999i | ||||
\(605\) | 10.9760 | − | 9.20994i | 0.446237 | − | 0.374437i | ||||
\(606\) | −18.6538 | + | 25.8407i | −0.757761 | + | 1.04971i | ||||
\(607\) | −20.1947 | − | 3.56086i | −0.819676 | − | 0.144531i | −0.251941 | − | 0.967743i | \(-0.581069\pi\) |
−0.567735 | + | 0.823211i | \(0.692180\pi\) | |||||||
\(608\) | 0.714501 | − | 4.05214i | 0.0289769 | − | 0.164336i | ||||
\(609\) | −4.51131 | − | 13.5671i | −0.182807 | − | 0.549766i | ||||
\(610\) | −1.24083 | + | 1.04118i | −0.0502398 | + | 0.0421562i | ||||
\(611\) | −2.47791 | − | 1.43062i | −0.100246 | − | 0.0578768i | ||||
\(612\) | −8.80282 | + | 4.74985i | −0.355833 | + | 0.192001i | ||||
\(613\) | 20.5244 | + | 35.5492i | 0.828971 | + | 1.43582i | 0.898846 | + | 0.438265i | \(0.144407\pi\) |
−0.0698747 | + | 0.997556i | \(0.522260\pi\) | |||||||
\(614\) | −3.73199 | − | 1.35833i | −0.150611 | − | 0.0548178i | ||||
\(615\) | 1.36169 | + | 5.39113i | 0.0549086 | + | 0.217391i | ||||
\(616\) | −14.8545 | + | 3.76364i | −0.598505 | + | 0.151641i | ||||
\(617\) | −9.04615 | − | 24.8541i | −0.364184 | − | 1.00059i | −0.977534 | − | 0.210777i | \(-0.932401\pi\) |
0.613350 | − | 0.789811i | \(-0.289822\pi\) | |||||||
\(618\) | 14.3056 | + | 21.0696i | 0.575454 | + | 0.847542i | ||||
\(619\) | 22.7108 | − | 4.00453i | 0.912824 | − | 0.160956i | 0.302539 | − | 0.953137i | \(-0.402166\pi\) |
0.610286 | + | 0.792182i | \(0.291055\pi\) | |||||||
\(620\) | − | 4.57909i | − | 0.183901i | ||||||
\(621\) | 3.98730 | + | 6.25259i | 0.160005 | + | 0.250908i | ||||
\(622\) | − | 4.47914i | − | 0.179597i | ||||||
\(623\) | −9.94417 | − | 4.80342i | −0.398405 | − | 0.192445i | ||||
\(624\) | −0.0647194 | − | 0.886551i | −0.00259085 | − | 0.0354904i | ||||
\(625\) | −17.9529 | + | 6.53431i | −0.718115 | + | 0.261373i | ||||
\(626\) | 16.1725 | + | 13.5703i | 0.646382 | + | 0.542379i | ||||
\(627\) | 29.6047 | − | 28.7644i | 1.18230 | − | 1.14874i | ||||
\(628\) | 3.27858 | − | 9.00784i | 0.130830 | − | 0.359452i | ||||
\(629\) | 0.632009 | + | 1.09467i | 0.0251999 | + | 0.0436475i | ||||
\(630\) | 3.41223 | + | 3.71491i | 0.135946 | + | 0.148005i | ||||
\(631\) | −8.92423 | + | 15.4572i | −0.355268 | + | 0.615343i | −0.987164 | − | 0.159711i | \(-0.948944\pi\) |
0.631896 | + | 0.775053i | \(0.282277\pi\) | |||||||
\(632\) | 0.882198 | + | 1.05136i | 0.0350920 | + | 0.0418210i | ||||
\(633\) | −15.0267 | + | 6.74548i | −0.597259 | + | 0.268109i | ||||
\(634\) | 2.40752 | − | 13.6537i | 0.0956147 | − | 0.542258i | ||||
\(635\) | −1.54951 | + | 8.78773i | −0.0614906 | + | 0.348731i | ||||
\(636\) | −6.64071 | − | 0.677436i | −0.263321 | − | 0.0268621i | ||||
\(637\) | 1.88053 | − | 3.06098i | 0.0745091 | − | 0.121280i | ||||
\(638\) | −15.6495 | − | 9.03524i | −0.619569 | − | 0.357709i | ||||
\(639\) | 1.34667 | + | 9.17441i | 0.0532733 | + | 0.362934i | ||||
\(640\) | 0.550366 | − | 0.317754i | 0.0217551 | − | 0.0125603i | ||||
\(641\) | −2.07231 | + | 5.69363i | −0.0818514 | + | 0.224885i | −0.973867 | − | 0.227120i | \(-0.927069\pi\) |
0.892015 | + | 0.452005i | \(0.149291\pi\) | |||||||
\(642\) | −3.30433 | − | 0.936573i | −0.130412 | − | 0.0369636i | ||||
\(643\) | −2.10930 | + | 2.51377i | −0.0831827 | + | 0.0991333i | −0.806031 | − | 0.591874i | \(-0.798388\pi\) |
0.722848 | + | 0.691007i | \(0.242833\pi\) | |||||||
\(644\) | 3.63357 | + | 1.02699i | 0.143183 | + | 0.0404690i | ||||
\(645\) | −4.39964 | + | 9.09107i | −0.173236 | + | 0.357961i | ||||
\(646\) | −2.38228 | − | 13.5106i | −0.0937294 | − | 0.531566i | ||||
\(647\) | 4.11102 | 0.161621 | 0.0808105 | − | 0.996729i | \(-0.474249\pi\) | ||||
0.0808105 | + | 0.996729i | \(0.474249\pi\) | |||||||
\(648\) | −2.58640 | − | 8.62035i | −0.101604 | − | 0.338640i | ||||
\(649\) | − | 21.6092i | − | 0.848235i | ||||||
\(650\) | 0.409600 | + | 2.32295i | 0.0160658 | + | 0.0911138i | ||||
\(651\) | −29.0473 | + | 15.7012i | −1.13845 | + | 0.615378i | ||||
\(652\) | −10.4219 | + | 3.79328i | −0.408155 | + | 0.148556i | ||||
\(653\) | −7.45623 | + | 8.88599i | −0.291785 | + | 0.347736i | −0.891945 | − | 0.452144i | \(-0.850659\pi\) |
0.600160 | + | 0.799880i | \(0.295104\pi\) | |||||||
\(654\) | −4.30006 | + | 15.1711i | −0.168146 | + | 0.593236i | ||||
\(655\) | −1.68332 | − | 0.612677i | −0.0657726 | − | 0.0239393i | ||||
\(656\) | −2.52579 | − | 4.37480i | −0.0986156 | − | 0.170807i | ||||
\(657\) | −37.1722 | − | 14.7547i | −1.45023 | − | 0.575634i | ||||
\(658\) | −13.4524 | + | 6.05073i | −0.524429 | + | 0.235882i | ||||
\(659\) | −1.35660 | − | 1.61674i | −0.0528458 | − | 0.0629791i | 0.738974 | − | 0.673734i | \(-0.235311\pi\) |
−0.791820 | + | 0.610755i | \(0.790866\pi\) | |||||||
\(660\) | 6.34240 | + | 0.647004i | 0.246878 | + | 0.0251846i | ||||
\(661\) | −9.69896 | − | 1.71019i | −0.377246 | − | 0.0665186i | −0.0181896 | − | 0.999835i | \(-0.505790\pi\) |
−0.359056 | + | 0.933316i | \(0.616901\pi\) | |||||||
\(662\) | 0.899283 | + | 0.158568i | 0.0349516 | + | 0.00616291i | ||||
\(663\) | −1.21376 | − | 2.70385i | −0.0471384 | − | 0.105009i | ||||
\(664\) | −4.94346 | − | 5.89138i | −0.191843 | − | 0.228630i | ||||
\(665\) | −6.30950 | + | 2.83794i | −0.244672 | + | 0.110051i | ||||
\(666\) | −1.07949 | + | 0.358065i | −0.0418295 | + | 0.0138747i | ||||
\(667\) | 2.22635 | + | 3.85615i | 0.0862046 | + | 0.149311i | ||||
\(668\) | −20.5392 | − | 7.47566i | −0.794686 | − | 0.289242i | ||||
\(669\) | −30.6695 | − | 31.5654i | −1.18575 | − | 1.22039i | ||||
\(670\) | −3.21774 | + | 3.83475i | −0.124312 | + | 0.148149i | ||||
\(671\) | 13.8721 | − | 5.04905i | 0.535528 | − | 0.194916i | ||||
\(672\) | −3.90281 | − | 2.40169i | −0.150554 | − | 0.0926471i | ||||
\(673\) | −3.66938 | − | 20.8101i | −0.141444 | − | 0.802169i | −0.970154 | − | 0.242490i | \(-0.922036\pi\) |
0.828710 | − | 0.559679i | \(-0.189075\pi\) | |||||||
\(674\) | − | 9.95481i | − | 0.383445i | ||||||
\(675\) | 9.14925 | + | 22.0602i | 0.352155 | + | 0.849096i | ||||
\(676\) | −12.7366 | −0.489870 | ||||||||
\(677\) | −3.60031 | − | 20.4184i | −0.138371 | − | 0.784743i | −0.972453 | − | 0.233101i | \(-0.925113\pi\) |
0.834081 | − | 0.551642i | \(-0.185998\pi\) | |||||||
\(678\) | 19.4389 | + | 28.6300i | 0.746546 | + | 1.09953i | ||||
\(679\) | 45.1759 | + | 12.7684i | 1.73369 | + | 0.490008i | ||||
\(680\) | 1.36200 | − | 1.62317i | 0.0522304 | − | 0.0622457i | ||||
\(681\) | 4.56706 | + | 18.0817i | 0.175010 | + | 0.692892i | ||||
\(682\) | −14.2735 | + | 39.2160i | −0.546559 | + | 1.50166i | ||||
\(683\) | −20.8519 | + | 12.0389i | −0.797877 | + | 0.460654i | −0.842728 | − | 0.538339i | \(-0.819052\pi\) |
0.0448513 | + | 0.998994i | \(0.485719\pi\) | |||||||
\(684\) | 12.3388 | + | 0.355318i | 0.471787 | + | 0.0135859i | ||||
\(685\) | 9.01640 | + | 5.20562i | 0.344499 | + | 0.198897i | ||||
\(686\) | −7.13306 | − | 17.0915i | −0.272341 | − | 0.652557i | ||||
\(687\) | −11.6646 | + | 16.1587i | −0.445032 | + | 0.616492i | ||||
\(688\) | 1.59330 | − | 9.03606i | 0.0607441 | − | 0.344497i | ||||
\(689\) | 0.343455 | − | 1.94783i | 0.0130846 | − | 0.0742063i | ||||
\(690\) | −1.27372 | − | 0.919475i | −0.0484898 | − | 0.0350038i | ||||
\(691\) | 8.80297 | + | 10.4910i | 0.334881 | + | 0.399095i | 0.907038 | − | 0.421049i | \(-0.138338\pi\) |
−0.572157 | + | 0.820144i | \(0.693893\pi\) | |||||||
\(692\) | −10.2008 | + | 17.6683i | −0.387776 | + | 0.671647i | ||||
\(693\) | −17.6431 | − | 42.4513i | −0.670207 | − | 1.61259i | ||||
\(694\) | 6.82740 | + | 11.8254i | 0.259165 | + | 0.448886i | ||||
\(695\) | 3.03061 | − | 8.32654i | 0.114958 | − | 0.315843i | ||||
\(696\) | −1.32336 | − | 5.23939i | −0.0501620 | − | 0.198599i | ||||
\(697\) | −12.9024 | − | 10.8264i | −0.488713 | − | 0.410079i | ||||
\(698\) | −10.6226 | + | 3.86630i | −0.402070 | + | 0.146342i | ||||
\(699\) | 18.0763 | − | 12.2733i | 0.683710 | − | 0.464217i | ||||
\(700\) | 10.9497 | + | 5.28913i | 0.413860 | + | 0.199910i | ||||
\(701\) | 3.27800i | 0.123808i | 0.998082 | + | 0.0619042i | \(0.0197173\pi\) | ||||
−0.998082 | + | 0.0619042i | \(0.980283\pi\) | |||||||
\(702\) | 2.60326 | − | 0.578358i | 0.0982536 | − | 0.0218287i | ||||
\(703\) | − | 1.55990i | − | 0.0588328i | ||||||
\(704\) | −5.70389 | + | 1.00575i | −0.214974 | + | 0.0379056i | ||||
\(705\) | 6.12049 | − | 0.446804i | 0.230511 | − | 0.0168276i | ||||
\(706\) | 6.90830 | + | 18.9804i | 0.259997 | + | 0.714337i | ||||
\(707\) | −47.1913 | + | 11.9567i | −1.77481 | + | 0.449678i | ||||
\(708\) | 4.63475 | − | 4.50321i | 0.174185 | − | 0.169241i | ||||
\(709\) | 3.87481 | + | 1.41031i | 0.145521 | + | 0.0529655i | 0.413754 | − | 0.910389i | \(-0.364217\pi\) |
−0.268233 | + | 0.963354i | \(0.586440\pi\) | |||||||
\(710\) | −0.982148 | − | 1.70113i | −0.0368594 | − | 0.0638423i | ||||
\(711\) | −2.73629 | + | 3.07660i | −0.102619 | + | 0.115381i | ||||
\(712\) | −3.61484 | − | 2.08703i | −0.135472 | − | 0.0782147i | ||||
\(713\) | 7.87745 | − | 6.60996i | 0.295013 | − | 0.247545i | ||||
\(714\) | −14.9667 | − | 3.07414i | −0.560114 | − | 0.115047i | ||||
\(715\) | −0.328026 | + | 1.86033i | −0.0122675 | + | 0.0695723i | ||||
\(716\) | −15.2999 | − | 2.69778i | −0.571783 | − | 0.100821i | ||||
\(717\) | 27.1630 | + | 2.77096i | 1.01442 | + | 0.103483i | ||||
\(718\) | −0.0560727 | + | 0.0470506i | −0.00209262 | + | 0.00175591i | ||||
\(719\) | 8.74299 | − | 15.1433i | 0.326059 | − | 0.564750i | −0.655668 | − | 0.755050i | \(-0.727613\pi\) |
0.981726 | + | 0.190300i | \(0.0609460\pi\) | |||||||
\(720\) | 1.18294 | + | 1.49515i | 0.0440857 | + | 0.0557210i | ||||
\(721\) | −3.91933 | + | 38.7038i | −0.145964 | + | 1.44140i | ||||
\(722\) | 0.707867 | − | 1.94485i | 0.0263441 | − | 0.0723797i | ||||
\(723\) | −4.93083 | + | 17.3965i | −0.183380 | + | 0.646984i | ||||
\(724\) | −4.38618 | + | 5.22724i | −0.163011 | + | 0.194269i | ||||
\(725\) | 4.90449 | + | 13.4750i | 0.182148 | + | 0.500448i | ||||
\(726\) | −35.1507 | − | 17.0113i | −1.30457 | − | 0.631347i | ||||
\(727\) | 36.7468 | − | 6.47944i | 1.36286 | − | 0.240309i | 0.556065 | − | 0.831139i | \(-0.312310\pi\) |
0.806797 | + | 0.590829i | \(0.201199\pi\) | |||||||
\(728\) | 0.793935 | − | 1.10153i | 0.0294252 | − | 0.0408255i | ||||
\(729\) | 24.4600 | − | 11.4327i | 0.905927 | − | 0.423434i | ||||
\(730\) | 8.47205 | 0.313565 | ||||||||
\(731\) | −5.31235 | − | 30.1279i | −0.196485 | − | 1.11432i | ||||
\(732\) | 3.97378 | + | 1.92312i | 0.146875 | + | 0.0710805i | ||||
\(733\) | 3.33963 | + | 9.17556i | 0.123352 | + | 0.338907i | 0.985964 | − | 0.166960i | \(-0.0533950\pi\) |
−0.862612 | + | 0.505867i | \(0.831173\pi\) | |||||||
\(734\) | −23.5238 | − | 19.7388i | −0.868278 | − | 0.728572i | ||||
\(735\) | 0.350949 | + | 7.69713i | 0.0129450 | + | 0.283913i | ||||
\(736\) | 1.34109 | + | 0.488119i | 0.0494334 | + | 0.0179923i | ||||
\(737\) | 39.5105 | − | 22.8114i | 1.45539 | − | 0.840270i | ||||
\(738\) | 11.8848 | − | 9.40308i | 0.437485 | − | 0.346132i | ||||
\(739\) | 13.3646 | − | 23.1482i | 0.491624 | − | 0.851518i | −0.508329 | − | 0.861163i | \(-0.669737\pi\) |
0.999953 | + | 0.00964443i | \(0.00306997\pi\) | |||||||
\(740\) | 0.184561 | − | 0.154865i | 0.00678459 | − | 0.00569295i | ||||
\(741\) | −0.371190 | + | 3.63867i | −0.0136360 | + | 0.133670i | ||||
\(742\) | −7.11090 | − | 7.30779i | −0.261049 | − | 0.268277i | ||||
\(743\) | 11.1754 | + | 1.97053i | 0.409986 | + | 0.0722916i | 0.374838 | − | 0.927090i | \(-0.377698\pi\) |
0.0351486 | + | 0.999382i | \(0.488810\pi\) | |||||||
\(744\) | −11.3856 | + | 5.11097i | −0.417415 | + | 0.187377i | ||||
\(745\) | −9.03477 | − | 10.7672i | −0.331009 | − | 0.394481i | ||||
\(746\) | 26.5608 | + | 15.3349i | 0.972461 | + | 0.561450i | ||||
\(747\) | 15.3330 | − | 17.2399i | 0.561004 | − | 0.630776i | ||||
\(748\) | −16.7240 | + | 9.65559i | −0.611489 | + | 0.353043i | ||||
\(749\) | −2.95019 | − | 4.33819i | −0.107797 | − | 0.158514i | ||||
\(750\) | −7.36072 | − | 7.57574i | −0.268776 | − | 0.276627i | ||||
\(751\) | 12.2746 | + | 10.2996i | 0.447906 | + | 0.375837i | 0.838658 | − | 0.544658i | \(-0.183341\pi\) |
−0.390752 | + | 0.920496i | \(0.627785\pi\) | |||||||
\(752\) | −5.23895 | + | 1.90682i | −0.191045 | + | 0.0695346i | ||||
\(753\) | 9.22287 | − | 0.673282i | 0.336100 | − | 0.0245358i | ||||
\(754\) | 1.57688 | − | 0.278046i | 0.0574265 | − | 0.0101258i | ||||
\(755\) | −6.76300 | −0.246131 | ||||||||
\(756\) | 5.42827 | − | 12.6307i | 0.197424 | − | 0.459373i | ||||
\(757\) | 42.1339 | 1.53138 | 0.765691 | − | 0.643209i | \(-0.222397\pi\) | ||||
0.765691 | + | 0.643209i | \(0.222397\pi\) | |||||||
\(758\) | −10.7371 | + | 1.89325i | −0.389990 | + | 0.0687658i | ||||
\(759\) | 8.04228 | + | 11.8448i | 0.291916 | + | 0.429941i | ||||
\(760\) | −2.45720 | + | 0.894346i | −0.0891318 | + | 0.0324413i | ||||
\(761\) | 31.5496 | + | 26.4733i | 1.14367 | + | 0.959656i | 0.999553 | − | 0.0299041i | \(-0.00952018\pi\) |
0.144121 | + | 0.989560i | \(0.453965\pi\) | |||||||
\(762\) | 23.5796 | − | 5.95571i | 0.854197 | − | 0.215753i | ||||
\(763\) | −19.9178 | + | 13.5451i | −0.721073 | + | 0.490366i | ||||
\(764\) | −13.7274 | + | 7.92551i | −0.496639 | + | 0.286735i | ||||
\(765\) | 5.41129 | + | 3.33549i | 0.195646 | + | 0.120595i | ||||
\(766\) | 5.29498 | + | 3.05706i | 0.191315 | + | 0.110456i | ||||
\(767\) | 1.23079 | + | 1.46680i | 0.0444412 | + | 0.0529629i | ||||
\(768\) | −1.40437 | − | 1.01378i | −0.0506757 | − | 0.0365817i | ||||
\(769\) | −33.0863 | − | 5.83400i | −1.19312 | − | 0.210380i | −0.458399 | − | 0.888747i | \(-0.651577\pi\) |
−0.734723 | + | 0.678367i |