Properties

Label 54.9.f.a.5.16
Level $54$
Weight $9$
Character 54.5
Analytic conductor $21.998$
Analytic rank $0$
Dimension $144$
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [54,9,Mod(5,54)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(54, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([5]))
 
N = Newforms(chi, 9, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("54.5");
 
S:= CuspForms(chi, 9);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 54 = 2 \cdot 3^{3} \)
Weight: \( k \) \(=\) \( 9 \)
Character orbit: \([\chi]\) \(=\) 54.f (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: \(21.9984449433\)
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 5.16
Character \(\chi\) \(=\) 54.5
Dual form 54.9.f.a.11.16

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(7.27231 + 8.66680i) q^{2} +(-62.6465 + 51.3460i) q^{3} +(-22.2270 + 126.055i) q^{4} +(-16.8419 - 46.2726i) q^{5} +(-900.591 - 169.541i) q^{6} +(-338.197 - 1918.01i) q^{7} +(-1254.14 + 724.077i) q^{8} +(1288.18 - 6433.30i) q^{9} +O(q^{10})\) \(q+(7.27231 + 8.66680i) q^{2} +(-62.6465 + 51.3460i) q^{3} +(-22.2270 + 126.055i) q^{4} +(-16.8419 - 46.2726i) q^{5} +(-900.591 - 169.541i) q^{6} +(-338.197 - 1918.01i) q^{7} +(-1254.14 + 724.077i) q^{8} +(1288.18 - 6433.30i) q^{9} +(278.556 - 482.474i) q^{10} +(2872.37 - 7891.77i) q^{11} +(-5080.00 - 9038.20i) q^{12} +(2160.72 + 1813.06i) q^{13} +(14163.5 - 16879.4i) q^{14} +(3431.00 + 2034.06i) q^{15} +(-15395.9 - 5603.66i) q^{16} +(5038.37 + 2908.90i) q^{17} +(65124.2 - 35620.5i) q^{18} +(15717.3 + 27223.1i) q^{19} +(6207.26 - 1094.51i) q^{20} +(119669. + 102792. i) q^{21} +(89285.2 - 32497.2i) q^{22} +(247135. + 43576.6i) q^{23} +(41389.0 - 109756. i) q^{24} +(297379. - 249530. i) q^{25} +31911.7i q^{26} +(249624. + 469167. i) q^{27} +249292. q^{28} +(90397.1 + 107731. i) q^{29} +(7322.50 + 44528.1i) q^{30} +(105847. - 600286. i) q^{31} +(-63398.2 - 174185. i) q^{32} +(225267. + 641877. i) q^{33} +(11429.7 + 64821.0i) q^{34} +(-83055.4 + 47952.1i) q^{35} +(782319. + 305375. i) q^{36} +(-271513. + 470275. i) q^{37} +(-121636. + 334193. i) q^{38} +(-228455. - 2637.63i) q^{39} +(54627.0 + 45837.5i) q^{40} +(2.33519e6 - 2.78297e6i) q^{41} +(-20605.0 + 1.78468e6i) q^{42} +(-1.89175e6 - 688539. i) q^{43} +(930956. + 537488. i) q^{44} +(-319381. + 48741.2i) q^{45} +(1.41957e6 + 2.45877e6i) q^{46} +(4.29240e6 - 756865. i) q^{47} +(1.25223e6 - 439469. i) q^{48} +(1.85276e6 - 674350. i) q^{49} +(4.32526e6 + 762660. i) q^{50} +(-464997. + 76467.2i) q^{51} +(-276572. + 232072. i) q^{52} -6.92620e6i q^{53} +(-2.25083e6 + 5.57537e6i) q^{54} -413549. q^{55} +(1.81293e6 + 2.16057e6i) q^{56} +(-2.38243e6 - 898415. i) q^{57} +(-276288. + 1.56691e6i) q^{58} +(-2.87289e6 - 7.89321e6i) q^{59} +(-332665. + 387285. i) q^{60} +(-897172. - 5.08811e6i) q^{61} +(5.97231e6 - 3.44811e6i) q^{62} +(-1.27748e7 - 295021. i) q^{63} +(1.04858e6 - 1.81619e6i) q^{64} +(47504.5 - 130518. i) q^{65} +(-3.92481e6 + 6.62027e6i) q^{66} +(-7.33162e6 - 6.15196e6i) q^{67} +(-478671. + 570457. i) q^{68} +(-1.77196e7 + 9.95946e6i) q^{69} +(-1.01960e6 - 371103. i) q^{70} +(-3.70974e7 - 2.14182e7i) q^{71} +(3.04265e6 + 9.00099e6i) q^{72} +(4.34939e6 + 7.53337e6i) q^{73} +(-6.05031e6 + 1.06683e6i) q^{74} +(-5.81737e6 + 3.09014e7i) q^{75} +(-3.78097e6 + 1.37616e6i) q^{76} +(-1.61079e7 - 2.84026e6i) q^{77} +(-1.63854e6 - 1.99916e6i) q^{78} +(-1.83181e7 + 1.53707e7i) q^{79} +806786. i q^{80} +(-3.97279e7 - 1.65745e7i) q^{81} +4.11016e7 q^{82} +(-2.80636e7 - 3.34449e7i) q^{83} +(-1.56173e7 + 1.28002e7i) q^{84} +(49747.1 - 282130. i) q^{85} +(-7.78993e6 - 2.14027e7i) q^{86} +(-1.11946e7 - 2.10745e6i) q^{87} +(2.11190e6 + 1.19772e7i) q^{88} +(4.04206e7 - 2.33369e7i) q^{89} +(-2.74507e6 - 2.41355e6i) q^{90} +(2.74672e6 - 4.75746e6i) q^{91} +(-1.09861e7 + 3.01841e7i) q^{92} +(2.41913e7 + 4.30406e7i) q^{93} +(3.77752e7 + 3.16972e7i) q^{94} +(994976. - 1.18577e6i) q^{95} +(1.29154e7 + 7.65685e6i) q^{96} +(1.63107e8 + 5.93660e7i) q^{97} +(1.93183e7 + 1.11534e7i) q^{98} +(-4.70700e7 - 2.86448e7i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 144 q + 882 q^{5} + 768 q^{6} + 25908 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 144 q + 882 q^{5} + 768 q^{6} + 25908 q^{9} - 45756 q^{11} - 21504 q^{12} + 94464 q^{14} - 70002 q^{15} - 182784 q^{18} - 225792 q^{20} - 2071668 q^{21} + 185472 q^{22} + 552996 q^{23} - 1015182 q^{25} - 4137588 q^{27} - 2856132 q^{29} - 861696 q^{30} - 1841490 q^{31} + 10547334 q^{33} - 661248 q^{34} - 12450834 q^{35} - 5104128 q^{36} + 14063616 q^{38} + 4239102 q^{39} - 15673536 q^{41} - 11028480 q^{42} - 4412520 q^{43} - 12558942 q^{45} + 15173838 q^{47} + 3440640 q^{48} - 11347488 q^{49} - 27744768 q^{50} - 3281850 q^{51} + 16379136 q^{54} + 12091392 q^{56} - 13553658 q^{57} - 86547168 q^{59} - 26125056 q^{60} - 34059456 q^{61} + 108329070 q^{63} + 150994944 q^{64} + 22190346 q^{65} + 152091648 q^{66} + 167100948 q^{67} + 13411584 q^{68} - 40190130 q^{69} - 118080000 q^{70} - 251437608 q^{71} - 60948480 q^{72} + 15265278 q^{73} + 41902848 q^{74} + 138868662 q^{75} + 67995648 q^{76} + 564911586 q^{77} + 201203712 q^{78} + 137535768 q^{79} - 23838948 q^{81} - 482857578 q^{83} - 128300544 q^{84} - 343215000 q^{85} - 46237824 q^{86} + 34353810 q^{87} + 47480832 q^{88} + 375969762 q^{89} + 452712960 q^{90} - 155093598 q^{91} + 97042176 q^{92} + 285095622 q^{93} - 70995456 q^{94} - 966996432 q^{95} - 88080384 q^{96} - 484917300 q^{97} - 234233856 q^{98} + 26756370 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/54\mathbb{Z}\right)^\times\).

\(n\) \(29\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 7.27231 + 8.66680i 0.454519 + 0.541675i
\(3\) −62.6465 + 51.3460i −0.773414 + 0.633901i
\(4\) −22.2270 + 126.055i −0.0868241 + 0.492404i
\(5\) −16.8419 46.2726i −0.0269470 0.0740362i 0.925490 0.378773i \(-0.123654\pi\)
−0.952437 + 0.304737i \(0.901432\pi\)
\(6\) −900.591 169.541i −0.694900 0.130819i
\(7\) −338.197 1918.01i −0.140857 0.798838i −0.970601 0.240694i \(-0.922625\pi\)
0.829744 0.558143i \(-0.188486\pi\)
\(8\) −1254.14 + 724.077i −0.306186 + 0.176777i
\(9\) 1288.18 6433.30i 0.196339 0.980536i
\(10\) 278.556 482.474i 0.0278556 0.0482474i
\(11\) 2872.37 7891.77i 0.196187 0.539019i −0.802122 0.597161i \(-0.796295\pi\)
0.998308 + 0.0581422i \(0.0185177\pi\)
\(12\) −5080.00 9038.20i −0.244984 0.435870i
\(13\) 2160.72 + 1813.06i 0.0756529 + 0.0634803i 0.679830 0.733370i \(-0.262054\pi\)
−0.604177 + 0.796850i \(0.706498\pi\)
\(14\) 14163.5 16879.4i 0.368688 0.439386i
\(15\) 3431.00 + 2034.06i 0.0677728 + 0.0401789i
\(16\) −15395.9 5603.66i −0.234923 0.0855050i
\(17\) 5038.37 + 2908.90i 0.0603246 + 0.0348284i 0.529859 0.848086i \(-0.322245\pi\)
−0.469534 + 0.882914i \(0.655578\pi\)
\(18\) 65124.2 35620.5i 0.620372 0.339321i
\(19\) 15717.3 + 27223.1i 0.120604 + 0.208893i 0.920006 0.391904i \(-0.128183\pi\)
−0.799402 + 0.600797i \(0.794850\pi\)
\(20\) 6207.26 1094.51i 0.0387954 0.00684067i
\(21\) 119669. + 102792.i 0.615324 + 0.528543i
\(22\) 89285.2 32497.2i 0.381144 0.138725i
\(23\) 247135. + 43576.6i 0.883126 + 0.155719i 0.596778 0.802407i \(-0.296447\pi\)
0.286348 + 0.958126i \(0.407559\pi\)
\(24\) 41389.0 109756.i 0.124750 0.330813i
\(25\) 297379. 249530.i 0.761289 0.638798i
\(26\) 31911.7i 0.0698323i
\(27\) 249624. + 469167.i 0.469711 + 0.882820i
\(28\) 249292. 0.405580
\(29\) 90397.1 + 107731.i 0.127809 + 0.152317i 0.826154 0.563444i \(-0.190524\pi\)
−0.698345 + 0.715762i \(0.746080\pi\)
\(30\) 7322.50 + 44528.1i 0.00904012 + 0.0549729i
\(31\) 105847. 600286.i 0.114612 0.649997i −0.872330 0.488918i \(-0.837392\pi\)
0.986942 0.161079i \(-0.0514973\pi\)
\(32\) −63398.2 174185.i −0.0604612 0.166116i
\(33\) 225267. + 641877.i 0.189951 + 0.541248i
\(34\) 11429.7 + 64821.0i 0.00855301 + 0.0485065i
\(35\) −83055.4 + 47952.1i −0.0553472 + 0.0319547i
\(36\) 782319. + 305375.i 0.465773 + 0.181812i
\(37\) −271513. + 470275.i −0.144872 + 0.250926i −0.929325 0.369262i \(-0.879610\pi\)
0.784453 + 0.620188i \(0.212944\pi\)
\(38\) −121636. + 334193.i −0.0583350 + 0.160274i
\(39\) −228455. 2637.63i −0.0987513 0.00114013i
\(40\) 54627.0 + 45837.5i 0.0213387 + 0.0179053i
\(41\) 2.33519e6 2.78297e6i 0.826392 0.984856i −0.173608 0.984815i \(-0.555543\pi\)
1.00000 4.09152e-5i \(-1.30237e-5\pi\)
\(42\) −20605.0 + 1.78468e6i −0.00662179 + 0.573539i
\(43\) −1.89175e6 688539.i −0.553336 0.201398i 0.0501921 0.998740i \(-0.484017\pi\)
−0.603528 + 0.797342i \(0.706239\pi\)
\(44\) 930956. + 537488.i 0.248381 + 0.143403i
\(45\) −319381. + 48741.2i −0.0778859 + 0.0118863i
\(46\) 1.41957e6 + 2.45877e6i 0.317049 + 0.549145i
\(47\) 4.29240e6 756865.i 0.879647 0.155105i 0.284455 0.958689i \(-0.408187\pi\)
0.595192 + 0.803584i \(0.297076\pi\)
\(48\) 1.25223e6 439469.i 0.235895 0.0827872i
\(49\) 1.85276e6 674350.i 0.321392 0.116977i
\(50\) 4.32526e6 + 762660.i 0.692042 + 0.122026i
\(51\) −464997. + 76467.2i −0.0687336 + 0.0113030i
\(52\) −276572. + 232072.i −0.0378264 + 0.0317402i
\(53\) 6.92620e6i 0.877792i −0.898538 0.438896i \(-0.855370\pi\)
0.898538 0.438896i \(-0.144630\pi\)
\(54\) −2.25083e6 + 5.57537e6i −0.264709 + 0.655690i
\(55\) −413549. −0.0451935
\(56\) 1.81293e6 + 2.16057e6i 0.184344 + 0.219693i
\(57\) −2.38243e6 898415.i −0.225694 0.0851094i
\(58\) −276288. + 1.56691e6i −0.0244146 + 0.138462i
\(59\) −2.87289e6 7.89321e6i −0.237089 0.651397i −0.999988 0.00487933i \(-0.998447\pi\)
0.762899 0.646518i \(-0.223775\pi\)
\(60\) −332665. + 387285.i −0.0256686 + 0.0298831i
\(61\) −897172. 5.08811e6i −0.0647972 0.367483i −0.999914 0.0131426i \(-0.995816\pi\)
0.935116 0.354341i \(-0.115295\pi\)
\(62\) 5.97231e6 3.44811e6i 0.404181 0.233354i
\(63\) −1.27748e7 295021.i −0.810945 0.0187280i
\(64\) 1.04858e6 1.81619e6i 0.0625000 0.108253i
\(65\) 47504.5 130518.i 0.00266122 0.00731165i
\(66\) −3.92481e6 + 6.62027e6i −0.206844 + 0.348899i
\(67\) −7.33162e6 6.15196e6i −0.363832 0.305291i 0.442484 0.896776i \(-0.354097\pi\)
−0.806316 + 0.591485i \(0.798542\pi\)
\(68\) −478671. + 570457.i −0.0223873 + 0.0266801i
\(69\) −1.77196e7 + 9.95946e6i −0.781733 + 0.439379i
\(70\) −1.01960e6 371103.i −0.0424655 0.0154562i
\(71\) −3.70974e7 2.14182e7i −1.45986 0.842848i −0.460852 0.887477i \(-0.652456\pi\)
−0.999004 + 0.0446290i \(0.985789\pi\)
\(72\) 3.04265e6 + 9.00099e6i 0.113220 + 0.334935i
\(73\) 4.34939e6 + 7.53337e6i 0.153157 + 0.265276i 0.932386 0.361463i \(-0.117723\pi\)
−0.779229 + 0.626739i \(0.784389\pi\)
\(74\) −6.05031e6 + 1.06683e6i −0.201767 + 0.0355770i
\(75\) −5.81737e6 + 3.09014e7i −0.183858 + 0.976637i
\(76\) −3.78097e6 + 1.37616e6i −0.113331 + 0.0412491i
\(77\) −1.61079e7 2.84026e6i −0.458222 0.0807970i
\(78\) −1.63854e6 1.99916e6i −0.0442668 0.0540093i
\(79\) −1.83181e7 + 1.53707e7i −0.470296 + 0.394626i −0.846903 0.531748i \(-0.821535\pi\)
0.376606 + 0.926373i \(0.377091\pi\)
\(80\) 806786.i 0.0196969i
\(81\) −3.97279e7 1.65745e7i −0.922902 0.385035i
\(82\) 4.11016e7 0.909083
\(83\) −2.80636e7 3.34449e7i −0.591332 0.704722i 0.384529 0.923113i \(-0.374364\pi\)
−0.975861 + 0.218391i \(0.929919\pi\)
\(84\) −1.56173e7 + 1.28002e7i −0.313682 + 0.257098i
\(85\) 49747.1 282130.i 0.000952998 0.00540472i
\(86\) −7.78993e6 2.14027e7i −0.142410 0.391268i
\(87\) −1.11946e7 2.10745e6i −0.195404 0.0367859i
\(88\) 2.11190e6 + 1.19772e7i 0.0352163 + 0.199721i
\(89\) 4.04206e7 2.33369e7i 0.644233 0.371948i −0.142010 0.989865i \(-0.545357\pi\)
0.786243 + 0.617917i \(0.212023\pi\)
\(90\) −2.74507e6 2.41355e6i −0.0418392 0.0367863i
\(91\) 2.74672e6 4.75746e6i 0.0400542 0.0693760i
\(92\) −1.09861e7 + 3.01841e7i −0.153353 + 0.421335i
\(93\) 2.41913e7 + 4.30406e7i 0.323391 + 0.575370i
\(94\) 3.77752e7 + 3.16972e7i 0.483833 + 0.405984i
\(95\) 994976. 1.18577e6i 0.0122157 0.0145581i
\(96\) 1.29154e7 + 7.65685e6i 0.152062 + 0.0901499i
\(97\) 1.63107e8 + 5.93660e7i 1.84240 + 0.670580i 0.988717 + 0.149794i \(0.0478609\pi\)
0.853687 + 0.520787i \(0.174361\pi\)
\(98\) 1.93183e7 + 1.11534e7i 0.209442 + 0.120922i
\(99\) −4.70700e7 2.86448e7i −0.490008 0.298199i
\(100\) 2.48448e7 + 4.30325e7i 0.248448 + 0.430325i
\(101\) 2.54895e7 4.49449e6i 0.244949 0.0431912i −0.0498254 0.998758i \(-0.515866\pi\)
0.294775 + 0.955567i \(0.404755\pi\)
\(102\) −4.04433e6 3.47394e6i −0.0373633 0.0320939i
\(103\) 2.29937e7 8.36903e6i 0.204296 0.0743578i −0.237845 0.971303i \(-0.576441\pi\)
0.442142 + 0.896945i \(0.354219\pi\)
\(104\) −4.02264e6 709300.i −0.0343857 0.00606313i
\(105\) 2.74099e6 7.26859e6i 0.0225502 0.0597989i
\(106\) 6.00280e7 5.03695e7i 0.475478 0.398974i
\(107\) 1.79114e8i 1.36645i −0.730208 0.683224i \(-0.760577\pi\)
0.730208 0.683224i \(-0.239423\pi\)
\(108\) −6.46894e7 + 2.10383e7i −0.475486 + 0.154638i
\(109\) 1.74708e8 1.23768 0.618839 0.785518i \(-0.287603\pi\)
0.618839 + 0.785518i \(0.287603\pi\)
\(110\) −3.00746e6 3.58415e6i −0.0205413 0.0244802i
\(111\) −7.13736e6 4.34022e7i −0.0470160 0.285904i
\(112\) −5.54101e6 + 3.14247e7i −0.0352142 + 0.199709i
\(113\) −6.27460e7 1.72393e8i −0.384833 1.05732i −0.969295 0.245899i \(-0.920917\pi\)
0.584462 0.811421i \(-0.301305\pi\)
\(114\) −9.53938e6 2.71816e7i −0.0564808 0.160937i
\(115\) −2.14581e6 1.21695e7i −0.0122687 0.0695794i
\(116\) −1.55893e7 + 9.00051e6i −0.0860986 + 0.0497090i
\(117\) 1.44474e7 1.15650e7i 0.0770984 0.0617167i
\(118\) 4.75163e7 8.23007e7i 0.245084 0.424498i
\(119\) 3.87534e6 1.06474e7i 0.0193251 0.0530953i
\(120\) −5.77576e6 66684.0i −0.0278538 0.000321586i
\(121\) 1.10179e8 + 9.24511e7i 0.513993 + 0.431291i
\(122\) 3.75732e7 4.47780e7i 0.169605 0.202127i
\(123\) −3.39721e6 + 2.94246e8i −0.0148423 + 1.28555i
\(124\) 7.33166e7 + 2.66851e7i 0.310110 + 0.112871i
\(125\) −3.32131e7 1.91756e7i −0.136041 0.0785431i
\(126\) −9.03453e7 1.12862e8i −0.358446 0.447781i
\(127\) 1.94753e8 + 3.37322e8i 0.748632 + 1.29667i 0.948478 + 0.316842i \(0.102622\pi\)
−0.199846 + 0.979827i \(0.564044\pi\)
\(128\) 2.33661e7 4.12008e6i 0.0870455 0.0153485i
\(129\) 1.53865e8 5.39989e7i 0.555624 0.194996i
\(130\) 1.47664e6 537452.i 0.00517012 0.00188177i
\(131\) −6.45499e7 1.13819e7i −0.219185 0.0386482i 0.0629772 0.998015i \(-0.479940\pi\)
−0.282162 + 0.959367i \(0.591052\pi\)
\(132\) −8.59190e7 + 1.41291e7i −0.283005 + 0.0465392i
\(133\) 4.68986e7 3.93526e7i 0.149883 0.125767i
\(134\) 1.08281e8i 0.335839i
\(135\) 1.75054e7 1.94524e7i 0.0527033 0.0585650i
\(136\) −8.42508e6 −0.0246274
\(137\) 1.02484e8 + 1.22136e8i 0.290920 + 0.346705i 0.891632 0.452760i \(-0.149561\pi\)
−0.600712 + 0.799465i \(0.705116\pi\)
\(138\) −2.15179e8 8.11442e7i −0.593314 0.223739i
\(139\) −8.62064e7 + 4.88901e8i −0.230930 + 1.30967i 0.620088 + 0.784532i \(0.287097\pi\)
−0.851018 + 0.525137i \(0.824014\pi\)
\(140\) −4.19855e6 1.15354e7i −0.0109292 0.0300276i
\(141\) −2.30042e8 + 2.67812e8i −0.582010 + 0.677570i
\(142\) −8.41565e7 4.77275e8i −0.206983 1.17386i
\(143\) 2.05147e7 1.18441e7i 0.0490592 0.0283243i
\(144\) −5.58827e7 + 9.18280e7i −0.129965 + 0.213563i
\(145\) 3.46255e6 5.99730e6i 0.00783292 0.0135670i
\(146\) −3.36601e7 + 9.24804e7i −0.0740805 + 0.203535i
\(147\) −8.14439e7 + 1.37377e8i −0.174417 + 0.294202i
\(148\) −5.32458e7 4.46785e7i −0.110978 0.0931219i
\(149\) −1.60506e7 + 1.91283e7i −0.0325645 + 0.0388089i −0.782081 0.623177i \(-0.785842\pi\)
0.749516 + 0.661986i \(0.230286\pi\)
\(150\) −3.10122e8 + 1.74307e8i −0.612587 + 0.344310i
\(151\) 3.29411e7 + 1.19896e7i 0.0633622 + 0.0230619i 0.373507 0.927627i \(-0.378155\pi\)
−0.310145 + 0.950689i \(0.600377\pi\)
\(152\) −3.94233e7 2.27610e7i −0.0738547 0.0426400i
\(153\) 2.52042e7 2.86661e7i 0.0459946 0.0523122i
\(154\) −9.25258e7 1.60259e8i −0.164505 0.284932i
\(155\) −2.95595e7 + 5.21213e6i −0.0512118 + 0.00903001i
\(156\) 5.41035e6 2.87394e7i 0.00913539 0.0485265i
\(157\) −5.98462e8 + 2.17822e8i −0.985004 + 0.358512i −0.783784 0.621034i \(-0.786713\pi\)
−0.201220 + 0.979546i \(0.564491\pi\)
\(158\) −2.66430e8 4.69787e7i −0.427518 0.0753829i
\(159\) 3.55633e8 + 4.33903e8i 0.556433 + 0.678897i
\(160\) −6.99225e6 + 5.86720e6i −0.0106693 + 0.00895263i
\(161\) 4.88744e8i 0.727408i
\(162\) −1.45266e8 4.64849e8i −0.210913 0.674919i
\(163\) −7.67529e8 −1.08729 −0.543644 0.839316i \(-0.682956\pi\)
−0.543644 + 0.839316i \(0.682956\pi\)
\(164\) 2.98904e8 + 3.56220e8i 0.413196 + 0.492428i
\(165\) 2.59074e7 2.12341e7i 0.0349533 0.0286482i
\(166\) 8.57732e7 4.86444e8i 0.112959 0.640620i
\(167\) −3.57009e8 9.80874e8i −0.459000 1.26109i −0.926231 0.376958i \(-0.876970\pi\)
0.467230 0.884136i \(-0.345252\pi\)
\(168\) −2.24510e8 4.22654e7i −0.281838 0.0530576i
\(169\) −1.40269e8 7.95503e8i −0.171955 0.975203i
\(170\) 2.80694e6 1.62059e6i 0.00336076 0.00194034i
\(171\) 1.95381e8 6.60456e7i 0.228506 0.0772430i
\(172\) 1.28842e8 2.23161e8i 0.147212 0.254979i
\(173\) −1.71633e8 + 4.71557e8i −0.191609 + 0.526441i −0.997878 0.0651075i \(-0.979261\pi\)
0.806269 + 0.591549i \(0.201483\pi\)
\(174\) −6.31460e7 1.12348e8i −0.0688888 0.122565i
\(175\) −5.79174e8 4.85984e8i −0.617528 0.518168i
\(176\) −8.84456e7 + 1.05405e8i −0.0921776 + 0.109853i
\(177\) 5.85262e8 + 3.46971e8i 0.596289 + 0.353509i
\(178\) 4.96207e8 + 1.80605e8i 0.494291 + 0.179907i
\(179\) 1.26521e8 + 7.30467e7i 0.123239 + 0.0711522i 0.560352 0.828254i \(-0.310666\pi\)
−0.437113 + 0.899407i \(0.643999\pi\)
\(180\) 954778. 4.13430e7i 0.000909521 0.0393833i
\(181\) −3.84168e8 6.65398e8i −0.357937 0.619965i 0.629679 0.776855i \(-0.283186\pi\)
−0.987616 + 0.156890i \(0.949853\pi\)
\(182\) 6.12069e7 1.07924e7i 0.0557847 0.00983635i
\(183\) 3.17459e8 + 2.72687e8i 0.283063 + 0.243142i
\(184\) −3.41494e8 + 1.24294e8i −0.297929 + 0.108437i
\(185\) 2.63337e7 + 4.64333e6i 0.0224814 + 0.00396408i
\(186\) −1.97098e8 + 5.22667e8i −0.164676 + 0.436690i
\(187\) 3.74284e7 3.14062e7i 0.0306080 0.0256832i
\(188\) 5.57903e8i 0.446608i
\(189\) 8.15444e8 6.37452e8i 0.639068 0.499574i
\(190\) 1.75126e7 0.0134380
\(191\) 6.52787e8 + 7.77961e8i 0.490499 + 0.584554i 0.953344 0.301885i \(-0.0976160\pi\)
−0.462845 + 0.886439i \(0.653172\pi\)
\(192\) 2.75642e7 + 1.67618e8i 0.0202834 + 0.123343i
\(193\) −3.41215e8 + 1.93513e9i −0.245923 + 1.39470i 0.572417 + 0.819963i \(0.306006\pi\)
−0.818339 + 0.574735i \(0.805105\pi\)
\(194\) 6.71649e8 + 1.84534e9i 0.474172 + 1.30278i
\(195\) 3.72556e6 + 1.06156e7i 0.00257664 + 0.00734189i
\(196\) 4.38242e7 + 2.48539e8i 0.0296954 + 0.168411i
\(197\) 8.43504e8 4.86997e8i 0.560044 0.323342i −0.193119 0.981175i \(-0.561860\pi\)
0.753163 + 0.657834i \(0.228527\pi\)
\(198\) −9.40484e7 6.16260e8i −0.0611914 0.400962i
\(199\) 2.55947e8 4.43313e8i 0.163207 0.282682i −0.772810 0.634637i \(-0.781150\pi\)
0.936017 + 0.351955i \(0.114483\pi\)
\(200\) −1.92275e8 + 5.28271e8i −0.120172 + 0.330169i
\(201\) 7.75179e8 + 8.94982e6i 0.474917 + 0.00548315i
\(202\) 2.24321e8 + 1.88227e8i 0.134730 + 0.113052i
\(203\) 1.76057e8 2.09817e8i 0.103674 0.123554i
\(204\) 696366. 6.03150e7i 0.000402084 0.0348261i
\(205\) −1.68104e8 6.11849e7i −0.0951837 0.0346440i
\(206\) 2.39750e8 + 1.38420e8i 0.133134 + 0.0768652i
\(207\) 5.98695e8 1.53376e9i 0.326080 0.835363i
\(208\) −2.31065e7 4.00217e7i −0.0123447 0.0213817i
\(209\) 2.59984e8 4.58422e7i 0.136258 0.0240260i
\(210\) 8.29288e7 2.91039e7i 0.0426411 0.0149649i
\(211\) −3.10685e9 + 1.13080e9i −1.56744 + 0.570501i −0.972425 0.233214i \(-0.925076\pi\)
−0.595014 + 0.803715i \(0.702854\pi\)
\(212\) 8.73085e8 + 1.53948e8i 0.432228 + 0.0762135i
\(213\) 3.42376e9 5.63026e8i 1.66336 0.273533i
\(214\) 1.55234e9 1.30257e9i 0.740171 0.621078i
\(215\) 9.91323e7i 0.0463939i
\(216\) −6.52776e8 4.07653e8i −0.299881 0.187273i
\(217\) −1.18715e9 −0.535386
\(218\) 1.27053e9 + 1.51416e9i 0.562549 + 0.670420i
\(219\) −6.59283e8 2.48616e8i −0.286613 0.108082i
\(220\) 9.19194e6 5.21301e7i 0.00392389 0.0222535i
\(221\) 5.61249e6 + 1.54202e7i 0.00235281 + 0.00646429i
\(222\) 3.24254e8 3.77493e8i 0.133497 0.155416i
\(223\) 2.11508e8 + 1.19952e9i 0.0855279 + 0.485053i 0.997241 + 0.0742263i \(0.0236487\pi\)
−0.911714 + 0.410827i \(0.865240\pi\)
\(224\) −3.12647e8 + 1.80507e8i −0.124183 + 0.0716972i
\(225\) −1.22223e9 2.23456e9i −0.476893 0.871892i
\(226\) 1.03779e9 1.79750e9i 0.397810 0.689027i
\(227\) −1.21867e9 + 3.34828e9i −0.458970 + 1.26101i 0.467284 + 0.884107i \(0.345233\pi\)
−0.926253 + 0.376901i \(0.876990\pi\)
\(228\) 1.66204e8 2.80349e8i 0.0615039 0.103743i
\(229\) −5.32816e8 4.47086e8i −0.193747 0.162573i 0.540754 0.841181i \(-0.318139\pi\)
−0.734501 + 0.678608i \(0.762584\pi\)
\(230\) 8.98656e7 1.07098e8i 0.0321131 0.0382709i
\(231\) 1.15494e9 6.49144e8i 0.405613 0.227978i
\(232\) −1.91376e8 6.96552e7i −0.0660596 0.0240437i
\(233\) −3.28484e9 1.89650e9i −1.11453 0.643472i −0.174528 0.984652i \(-0.555840\pi\)
−0.939998 + 0.341181i \(0.889173\pi\)
\(234\) 2.05297e8 + 4.11080e7i 0.0684731 + 0.0137108i
\(235\) −1.07314e8 1.85873e8i −0.0351872 0.0609461i
\(236\) 1.05884e9 1.86702e8i 0.341335 0.0601867i
\(237\) 3.58341e8 1.90348e9i 0.113580 0.603330i
\(238\) 1.20462e8 4.38445e7i 0.0375441 0.0136649i
\(239\) 9.41783e8 + 1.66062e8i 0.288642 + 0.0508954i 0.316094 0.948728i \(-0.397628\pi\)
−0.0274525 + 0.999623i \(0.508739\pi\)
\(240\) −4.14252e7 5.05423e7i −0.0124859 0.0152339i
\(241\) 7.90975e8 6.63707e8i 0.234474 0.196747i −0.517978 0.855394i \(-0.673315\pi\)
0.752452 + 0.658647i \(0.228871\pi\)
\(242\) 1.62723e9i 0.474447i
\(243\) 3.33985e9 1.00153e9i 0.957860 0.287237i
\(244\) 6.61326e8 0.186576
\(245\) −6.24078e7 7.43748e7i −0.0173211 0.0206425i
\(246\) −2.57488e9 + 2.11040e9i −0.703098 + 0.576269i
\(247\) −1.53965e7 + 8.73179e7i −0.00413651 + 0.0234593i
\(248\) 3.01907e8 + 8.29483e8i 0.0798117 + 0.219281i
\(249\) 3.47535e9 + 6.54255e8i 0.904068 + 0.170196i
\(250\) −7.53448e7 4.27302e8i −0.0192883 0.109389i
\(251\) −5.43907e9 + 3.14025e9i −1.37034 + 0.791168i −0.990971 0.134076i \(-0.957193\pi\)
−0.379372 + 0.925244i \(0.623860\pi\)
\(252\) 3.21134e8 1.60377e9i 0.0796313 0.397686i
\(253\) 1.05376e9 1.82516e9i 0.257193 0.445471i
\(254\) −1.50720e9 + 4.14099e9i −0.362106 + 0.994877i
\(255\) 1.13697e7 + 2.02288e7i 0.00268900 + 0.00478419i
\(256\) 2.05633e8 + 1.72547e8i 0.0478778 + 0.0401742i
\(257\) 3.25584e9 3.88016e9i 0.746329 0.889440i −0.250573 0.968098i \(-0.580619\pi\)
0.996902 + 0.0786577i \(0.0250634\pi\)
\(258\) 1.58695e9 + 9.40821e8i 0.358167 + 0.212338i
\(259\) 9.93817e8 + 3.61720e8i 0.220855 + 0.0803847i
\(260\) 1.53966e7 + 8.88921e6i 0.00336923 + 0.00194522i
\(261\) 8.09514e8 4.42775e8i 0.174447 0.0954159i
\(262\) −3.70782e8 6.42214e8i −0.0786890 0.136293i
\(263\) −2.47638e9 + 4.36653e8i −0.517601 + 0.0912670i −0.426345 0.904561i \(-0.640199\pi\)
−0.0912555 + 0.995828i \(0.529088\pi\)
\(264\) −7.47284e8 6.41892e8i −0.153840 0.132144i
\(265\) −3.20493e8 + 1.16650e8i −0.0649884 + 0.0236538i
\(266\) 6.82123e8 + 1.20277e8i 0.136250 + 0.0240245i
\(267\) −1.33396e9 + 3.53741e9i −0.262481 + 0.696050i
\(268\) 9.38447e8 7.87451e8i 0.181916 0.152646i
\(269\) 5.33259e9i 1.01842i −0.860641 0.509212i \(-0.829937\pi\)
0.860641 0.509212i \(-0.170063\pi\)
\(270\) 2.95895e8 + 1.02524e7i 0.0556779 + 0.00192917i
\(271\) −1.00008e10 −1.85421 −0.927104 0.374803i \(-0.877710\pi\)
−0.927104 + 0.374803i \(0.877710\pi\)
\(272\) −6.12698e7 7.30185e7i −0.0111936 0.0133401i
\(273\) 7.22038e7 + 4.39071e8i 0.0129990 + 0.0790468i
\(274\) −3.13231e8 + 1.77642e9i −0.0555727 + 0.315169i
\(275\) −1.11505e9 3.06359e9i −0.194969 0.535673i
\(276\) −8.61590e8 2.45502e9i −0.148479 0.423077i
\(277\) 1.07107e9 + 6.07432e9i 0.181927 + 1.03176i 0.929840 + 0.367964i \(0.119945\pi\)
−0.747913 + 0.663797i \(0.768944\pi\)
\(278\) −4.86413e9 + 2.80831e9i −0.814378 + 0.470181i
\(279\) −3.72547e9 1.45422e9i −0.614843 0.240001i
\(280\) 6.94420e7 1.20277e8i 0.0112977 0.0195682i
\(281\) −2.01731e9 + 5.54252e9i −0.323555 + 0.888959i 0.666148 + 0.745820i \(0.267942\pi\)
−0.989703 + 0.143139i \(0.954280\pi\)
\(282\) −3.99401e9 4.61128e7i −0.631558 0.00729164i
\(283\) 1.03413e9 + 8.67742e8i 0.161225 + 0.135283i 0.719831 0.694149i \(-0.244219\pi\)
−0.558606 + 0.829433i \(0.688664\pi\)
\(284\) 3.52444e9 4.20026e9i 0.541772 0.645659i
\(285\) −1.44748e6 + 1.25372e8i −0.000219399 + 0.0190030i
\(286\) 2.51840e8 + 9.16622e7i 0.0376409 + 0.0137002i
\(287\) −6.12751e9 3.53772e9i −0.903143 0.521430i
\(288\) −1.20225e9 + 1.83477e8i −0.174753 + 0.0266694i
\(289\) −3.47096e9 6.01187e9i −0.497574 0.861823i
\(290\) 7.71582e7 1.36051e7i 0.0109091 0.00192357i
\(291\) −1.32663e10 + 4.65580e9i −1.85002 + 0.649266i
\(292\) −1.04630e9 + 3.80821e8i −0.143921 + 0.0523828i
\(293\) 9.34842e9 + 1.64838e9i 1.26843 + 0.223659i 0.767062 0.641573i \(-0.221718\pi\)
0.501372 + 0.865232i \(0.332829\pi\)
\(294\) −1.78291e9 + 2.93193e8i −0.238638 + 0.0392433i
\(295\) −3.16855e8 + 2.65873e8i −0.0418381 + 0.0351064i
\(296\) 7.86387e8i 0.102440i
\(297\) 4.41957e9 6.22354e8i 0.568008 0.0799856i
\(298\) −2.82506e8 −0.0358230
\(299\) 4.54983e8 + 5.42228e8i 0.0569260 + 0.0678417i
\(300\) −3.76599e9 1.42015e9i −0.464937 0.175328i
\(301\) −6.80842e8 + 3.86125e9i −0.0829431 + 0.470394i
\(302\) 1.35647e8 + 3.72686e8i 0.0163073 + 0.0448038i
\(303\) −1.36606e9 + 1.59035e9i −0.162068 + 0.188678i
\(304\) −8.94329e7 5.07199e8i −0.0104714 0.0593860i
\(305\) −2.20330e8 + 1.27208e8i −0.0254610 + 0.0146999i
\(306\) 4.31736e8 + 9.97054e6i 0.0492417 + 0.00113719i
\(307\) 8.95811e8 1.55159e9i 0.100847 0.174672i −0.811187 0.584787i \(-0.801178\pi\)
0.912034 + 0.410115i \(0.134511\pi\)
\(308\) 7.16060e8 1.96736e9i 0.0795695 0.218615i
\(309\) −1.01076e9 + 1.70493e9i −0.110870 + 0.187013i
\(310\) −2.60138e8 2.18282e8i −0.0281681 0.0236358i
\(311\) 5.51357e9 6.57082e9i 0.589374 0.702389i −0.386111 0.922452i \(-0.626182\pi\)
0.975486 + 0.220063i \(0.0706263\pi\)
\(312\) 2.88424e8 1.62111e8i 0.0304378 0.0171078i
\(313\) 1.40191e10 + 5.10252e9i 1.46063 + 0.531627i 0.945540 0.325506i \(-0.105535\pi\)
0.515094 + 0.857133i \(0.327757\pi\)
\(314\) −6.24002e9 3.60268e9i −0.641900 0.370601i
\(315\) 2.01500e8 + 5.96091e8i 0.0204660 + 0.0605439i
\(316\) −1.53040e9 2.65074e9i −0.153482 0.265839i
\(317\) 1.64776e10 2.90545e9i 1.63176 0.287724i 0.718633 0.695390i \(-0.244768\pi\)
0.913131 + 0.407666i \(0.133657\pi\)
\(318\) −1.17428e9 + 6.23767e9i −0.114832 + 0.609978i
\(319\) 1.10984e9 4.03950e8i 0.107176 0.0390090i
\(320\) −1.01700e8 1.79324e7i −0.00969884 0.00171017i
\(321\) 9.19676e9 + 1.12208e10i 0.866193 + 1.05683i
\(322\) 4.23585e9 3.55430e9i 0.394019 0.330621i
\(323\) 1.82880e8i 0.0168018i
\(324\) 2.97234e9 4.63952e9i 0.269723 0.421010i
\(325\) 1.09497e9 0.0981448
\(326\) −5.58171e9 6.65203e9i −0.494194 0.588957i
\(327\) −1.09449e10 + 8.97057e9i −0.957238 + 0.784565i
\(328\) −9.13565e8 + 5.18108e9i −0.0789303 + 0.447636i
\(329\) −2.90335e9 7.97688e9i −0.247808 0.680847i
\(330\) 3.72438e8 + 7.01136e7i 0.0314050 + 0.00591217i
\(331\) 2.57824e9 + 1.46219e10i 0.214789 + 1.21813i 0.881273 + 0.472608i \(0.156687\pi\)
−0.666484 + 0.745519i \(0.732202\pi\)
\(332\) 4.83968e9 2.79419e9i 0.398350 0.229987i
\(333\) 2.67566e9 + 2.35253e9i 0.217598 + 0.191319i
\(334\) 5.90476e9 1.02273e10i 0.474478 0.821821i
\(335\) −1.61189e8 + 4.42864e8i −0.0127984 + 0.0351634i
\(336\) −1.26640e9 2.25316e9i −0.0993609 0.176780i
\(337\) 1.56948e10 + 1.31695e10i 1.21685 + 1.02106i 0.998983 + 0.0450794i \(0.0143541\pi\)
0.217866 + 0.975979i \(0.430090\pi\)
\(338\) 5.87439e9 7.00083e9i 0.450086 0.536392i
\(339\) 1.27825e10 + 7.57809e9i 0.967872 + 0.573800i
\(340\) 3.44583e7 + 1.25418e7i 0.00257856 + 0.000938520i
\(341\) −4.43329e9 2.55956e9i −0.327875 0.189299i
\(342\) 1.99328e9 + 1.21302e9i 0.145701 + 0.0886676i
\(343\) −7.53376e9 1.30489e10i −0.544296 0.942749i
\(344\) 2.87107e9 5.06247e8i 0.205026 0.0361517i
\(345\) 7.59282e8 + 6.52198e8i 0.0535953 + 0.0460366i
\(346\) −5.33506e9 + 1.94180e9i −0.372250 + 0.135488i
\(347\) 1.63776e10 + 2.88782e9i 1.12962 + 0.199183i 0.707061 0.707152i \(-0.250020\pi\)
0.422560 + 0.906335i \(0.361132\pi\)
\(348\) 5.14478e8 1.36430e9i 0.0350792 0.0930236i
\(349\) 1.76327e10 1.47956e10i 1.18855 0.997312i 0.188667 0.982041i \(-0.439583\pi\)
0.999883 0.0152709i \(-0.00486107\pi\)
\(350\) 8.55382e9i 0.570017i
\(351\) −3.11260e8 + 1.46632e9i −0.0205067 + 0.0966053i
\(352\) −1.55673e9 −0.101401
\(353\) −3.72871e9 4.44370e9i −0.240137 0.286185i 0.632493 0.774566i \(-0.282032\pi\)
−0.872630 + 0.488382i \(0.837587\pi\)
\(354\) 1.24908e9 + 7.59563e9i 0.0795382 + 0.483672i
\(355\) −3.66287e8 + 2.07732e9i −0.0230626 + 0.130794i
\(356\) 2.04331e9 + 5.61394e9i 0.127214 + 0.349517i
\(357\) 3.03925e8 + 8.66007e8i 0.0187109 + 0.0533149i
\(358\) 2.87016e8 + 1.62775e9i 0.0174733 + 0.0990957i
\(359\) −1.64745e9 + 9.51153e8i −0.0991821 + 0.0572628i −0.548771 0.835973i \(-0.684904\pi\)
0.449589 + 0.893236i \(0.351571\pi\)
\(360\) 3.65256e8 2.92385e8i 0.0217464 0.0174078i
\(361\) 7.99772e9 1.38525e10i 0.470909 0.815639i
\(362\) 2.97309e9 8.16849e9i 0.173130 0.475672i
\(363\) −1.16493e10 1.34497e8i −0.670925 0.00774616i
\(364\) 5.38652e8 + 4.51982e8i 0.0306833 + 0.0257464i
\(365\) 2.75337e8 3.28134e8i 0.0155129 0.0184876i
\(366\) −5.46611e7 + 4.73442e9i −0.00304617 + 0.263841i
\(367\) 2.66501e10 + 9.69986e9i 1.46905 + 0.534689i 0.947841 0.318743i \(-0.103261\pi\)
0.521204 + 0.853432i \(0.325483\pi\)
\(368\) −3.56068e9 2.05576e9i −0.194152 0.112094i
\(369\) −1.48955e10 1.86079e10i −0.803434 1.00367i
\(370\) 1.51264e8 + 2.61996e8i 0.00807101 + 0.0139794i
\(371\) −1.32845e10 + 2.34242e9i −0.701213 + 0.123643i
\(372\) −5.96321e9 + 2.09279e9i −0.311392 + 0.109283i
\(373\) −6.59113e9 + 2.39898e9i −0.340506 + 0.123934i −0.506613 0.862174i \(-0.669103\pi\)
0.166107 + 0.986108i \(0.446880\pi\)
\(374\) 5.44383e8 + 9.59894e7i 0.0278239 + 0.00490610i
\(375\) 3.06527e9 5.04074e8i 0.155004 0.0254900i
\(376\) −4.83523e9 + 4.05724e9i −0.241917 + 0.202992i
\(377\) 3.96673e8i 0.0196366i
\(378\) 1.14548e10 + 2.43155e9i 0.561076 + 0.119101i
\(379\) −1.45505e10 −0.705214 −0.352607 0.935772i \(-0.614705\pi\)
−0.352607 + 0.935772i \(0.614705\pi\)
\(380\) 1.27357e8 + 1.51778e8i 0.00610785 + 0.00727905i
\(381\) −2.95207e10 1.11323e10i −1.40096 0.528304i
\(382\) −1.99517e9 + 1.13152e10i −0.0936970 + 0.531382i
\(383\) −5.73929e9 1.57686e10i −0.266725 0.732820i −0.998675 0.0514621i \(-0.983612\pi\)
0.731950 0.681358i \(-0.238610\pi\)
\(384\) −1.25226e9 + 1.45786e9i −0.0575928 + 0.0670490i
\(385\) 1.39861e8 + 7.93190e8i 0.00636581 + 0.0361023i
\(386\) −1.92528e10 + 1.11156e10i −0.867250 + 0.500707i
\(387\) −6.86649e9 + 1.12832e10i −0.306119 + 0.503024i
\(388\) −1.11088e10 + 1.92410e10i −0.490161 + 0.848984i
\(389\) −1.09514e10 + 3.00888e10i −0.478270 + 1.31403i 0.432691 + 0.901542i \(0.357564\pi\)
−0.910961 + 0.412493i \(0.864658\pi\)
\(390\) −6.49103e7 + 1.09489e8i −0.00280579 + 0.00473273i
\(391\) 1.11840e9 + 9.38446e8i 0.0478508 + 0.0401515i
\(392\) −1.83534e9 + 2.18727e9i −0.0777269 + 0.0926314i
\(393\) 4.62824e9 2.60134e9i 0.194020 0.109050i
\(394\) 1.03549e10 + 3.76889e9i 0.429697 + 0.156397i
\(395\) 1.01975e9 + 5.88755e8i 0.0418896 + 0.0241850i
\(396\) 4.65706e9 5.29674e9i 0.189379 0.215391i
\(397\) −7.78128e9 1.34776e10i −0.313248 0.542562i 0.665815 0.746117i \(-0.268084\pi\)
−0.979064 + 0.203554i \(0.934751\pi\)
\(398\) 5.70343e9 1.00567e9i 0.227302 0.0400796i
\(399\) −9.17438e8 + 4.87336e9i −0.0361980 + 0.192281i
\(400\) −5.97670e9 + 2.17534e9i −0.233465 + 0.0849743i
\(401\) −1.50172e10 2.64793e9i −0.580778 0.102407i −0.124462 0.992224i \(-0.539720\pi\)
−0.456316 + 0.889818i \(0.650832\pi\)
\(402\) 5.55978e9 + 6.78341e9i 0.212889 + 0.259743i
\(403\) 1.31706e9 1.10514e9i 0.0499327 0.0418986i
\(404\) 3.31299e9i 0.124364i
\(405\) −9.78536e7 + 2.11746e9i −0.00363711 + 0.0787037i
\(406\) 3.09878e9 0.114048
\(407\) 2.93142e9 + 3.49353e9i 0.106832 + 0.127317i
\(408\) 5.27802e8 4.32594e8i 0.0190472 0.0156113i
\(409\) 1.17907e9 6.68684e9i 0.0421353 0.238961i −0.956465 0.291846i \(-0.905730\pi\)
0.998601 + 0.0528847i \(0.0168416\pi\)
\(410\) −6.92228e8 1.90188e9i −0.0244970 0.0673051i
\(411\) −1.26915e10 2.38924e9i −0.444779 0.0837321i
\(412\) 5.43881e8 + 3.08450e9i 0.0188762 + 0.107052i
\(413\) −1.41676e10 + 8.17970e9i −0.486965 + 0.281149i
\(414\) 1.76467e10 5.96519e9i 0.600705 0.203059i
\(415\) −1.07494e9 + 1.86185e9i −0.0362403 + 0.0627701i
\(416\) 1.78822e8 4.91310e8i 0.00597102 0.0164052i
\(417\) −1.97026e10 3.50543e10i −0.651596 1.15930i
\(418\) 2.28799e9 + 1.91985e9i 0.0749462 + 0.0628873i
\(419\) 1.18526e10 1.41254e10i 0.384555 0.458295i −0.538691 0.842503i \(-0.681081\pi\)
0.923247 + 0.384208i \(0.125525\pi\)
\(420\) 8.55322e8 + 5.07075e8i 0.0274873 + 0.0162958i
\(421\) −6.37176e9 2.31913e9i −0.202829 0.0738239i 0.238608 0.971116i \(-0.423309\pi\)
−0.441437 + 0.897292i \(0.645531\pi\)
\(422\) −3.23944e10 1.87029e10i −1.02146 0.589739i
\(423\) 6.60241e8 2.85892e10i 0.0206225 0.892979i
\(424\) 5.01511e9 + 8.68642e9i 0.155173 + 0.268768i
\(425\) 2.22416e9 3.92180e8i 0.0681727 0.0120207i
\(426\) 2.97783e10 + 2.55786e10i 0.904194 + 0.776672i
\(427\) −9.45563e9 + 3.44157e9i −0.284432 + 0.103525i
\(428\) 2.25782e10 + 3.98115e9i 0.672845 + 0.118641i
\(429\) −6.77023e8 + 1.79534e9i −0.0199882 + 0.0530051i
\(430\) −8.59160e8 + 7.20921e8i −0.0251305 + 0.0210870i
\(431\) 1.47980e10i 0.428838i 0.976742 + 0.214419i \(0.0687857\pi\)
−0.976742 + 0.214419i \(0.931214\pi\)
\(432\) −1.21414e9 8.62206e9i −0.0348605 0.247558i
\(433\) 1.56023e10 0.443852 0.221926 0.975063i \(-0.428766\pi\)
0.221926 + 0.975063i \(0.428766\pi\)
\(434\) −8.63333e9 1.02888e10i −0.243343 0.290005i
\(435\) 9.10210e7 + 5.53498e8i 0.00254205 + 0.0154582i
\(436\) −3.88324e9 + 2.20229e10i −0.107460 + 0.609438i
\(437\) 2.69800e9 + 7.41268e9i 0.0739802 + 0.203259i
\(438\) −2.63981e9 7.52189e9i −0.0717258 0.204376i
\(439\) −7.34756e9 4.16701e10i −0.197827 1.12193i −0.908335 0.418243i \(-0.862646\pi\)
0.710509 0.703688i \(-0.248465\pi\)
\(440\) 5.18648e8 2.99441e8i 0.0138376 0.00798916i
\(441\) −1.95160e9 1.27880e10i −0.0515985 0.338103i
\(442\) −9.28280e7 + 1.60783e8i −0.00243215 + 0.00421260i
\(443\) −2.61615e10 + 7.18781e10i −0.679278 + 1.86630i −0.228944 + 0.973440i \(0.573527\pi\)
−0.450334 + 0.892860i \(0.648695\pi\)
\(444\) 5.62973e9 + 6.49979e7i 0.144862 + 0.00167251i
\(445\) −1.76062e9 1.47733e9i −0.0448977 0.0376737i
\(446\) −8.85787e9 + 1.05564e10i −0.223867 + 0.266794i
\(447\) 2.33502e7 2.02245e9i 0.000584872 0.0506581i
\(448\) −3.83809e9 1.39695e9i −0.0952802 0.0346792i
\(449\) −4.70970e9 2.71914e9i −0.115880 0.0669032i 0.440940 0.897537i \(-0.354645\pi\)
−0.556820 + 0.830633i \(0.687979\pi\)
\(450\) 1.04781e10 2.68432e10i 0.255525 0.654613i
\(451\) −1.52550e10 2.64225e10i −0.368728 0.638656i
\(452\) 2.31258e10 4.07769e9i 0.554041 0.0976924i
\(453\) −2.67926e9 + 9.40287e8i −0.0636242 + 0.0223289i
\(454\) −3.78814e10 + 1.37877e10i −0.891668 + 0.324541i
\(455\) −2.66400e8 4.69735e7i −0.00621567 0.00109599i
\(456\) 3.63842e9 5.98326e8i 0.0841498 0.0138382i
\(457\) −3.68291e10 + 3.09033e10i −0.844358 + 0.708501i −0.958540 0.284959i \(-0.908020\pi\)
0.114182 + 0.993460i \(0.463575\pi\)
\(458\) 7.86916e9i 0.178841i
\(459\) −1.07064e8 + 3.08997e9i −0.00241208 + 0.0696150i
\(460\) 1.58172e9 0.0353264
\(461\) 2.56213e10 + 3.05343e10i 0.567280 + 0.676058i 0.971070 0.238793i \(-0.0767519\pi\)
−0.403790 + 0.914852i \(0.632307\pi\)
\(462\) 1.40251e10 + 5.28887e9i 0.307849 + 0.116090i
\(463\) 9.78153e9 5.54738e10i 0.212855 1.20716i −0.671736 0.740790i \(-0.734451\pi\)
0.884591 0.466368i \(-0.154438\pi\)
\(464\) −7.88059e8 2.16517e9i −0.0170015 0.0467112i
\(465\) 1.58418e9 1.84428e9i 0.0338838 0.0394471i
\(466\) −7.45175e9 4.22610e10i −0.158021 0.896181i
\(467\) 4.64369e10 2.68104e10i 0.976329 0.563684i 0.0751690 0.997171i \(-0.476050\pi\)
0.901160 + 0.433487i \(0.142717\pi\)
\(468\) 1.13671e9 + 2.07822e9i 0.0236956 + 0.0433220i
\(469\) −9.31998e9 + 1.61427e10i −0.192630 + 0.333645i
\(470\) 8.30507e8 2.28180e9i 0.0170197 0.0467612i
\(471\) 2.63073e10 4.43744e10i 0.534555 0.901673i
\(472\) 9.31831e9 + 7.81899e9i 0.187745 + 0.157537i
\(473\) −1.08676e10 + 1.29515e10i −0.217114 + 0.258747i
\(474\) 1.91031e10 1.07370e10i 0.378434 0.212702i
\(475\) 1.14670e10 + 4.17363e9i 0.225255 + 0.0819860i
\(476\) 1.25603e9 + 7.25167e8i 0.0244665 + 0.0141257i
\(477\) −4.45583e10 8.92220e9i −0.860707 0.172345i
\(478\) 5.40972e9 + 9.36990e9i 0.103625 + 0.179483i
\(479\) 5.08128e10 8.95967e9i 0.965231 0.170196i 0.331248 0.943544i \(-0.392530\pi\)
0.633983 + 0.773347i \(0.281419\pi\)
\(480\) 1.36784e8 7.26584e8i 0.00257673 0.0136874i
\(481\) −1.43930e9 + 5.23863e8i −0.0268888 + 0.00978673i
\(482\) 1.15044e10 + 2.02854e9i 0.213146 + 0.0375834i
\(483\) 2.50951e10 + 3.06181e10i 0.461105 + 0.562588i
\(484\) −1.41029e10 + 1.18337e10i −0.256996 + 0.215646i
\(485\) 8.54721e9i 0.154475i
\(486\) 3.29685e10 + 2.16624e10i 0.590955 + 0.388294i
\(487\) 2.69278e9 0.0478724 0.0239362 0.999713i \(-0.492380\pi\)
0.0239362 + 0.999713i \(0.492380\pi\)
\(488\) 4.80937e9 + 5.73158e9i 0.0848025 + 0.101064i
\(489\) 4.80831e10 3.94095e10i 0.840924 0.689233i
\(490\) 1.90742e8 1.08175e9i 0.00330874 0.0187648i
\(491\) 1.37117e10 + 3.76727e10i 0.235921 + 0.648187i 0.999995 + 0.00305903i \(0.000973721\pi\)
−0.764075 + 0.645128i \(0.776804\pi\)
\(492\) −3.70158e10 6.96843e9i −0.631722 0.118925i
\(493\) 1.42075e8 + 8.05745e8i 0.00240508 + 0.0136399i
\(494\) −8.68735e8 + 5.01565e8i −0.0145875 + 0.00842207i
\(495\) −5.32726e8 + 2.66048e9i −0.00887325 + 0.0443139i
\(496\) −4.99340e9 + 8.64883e9i −0.0825030 + 0.142899i
\(497\) −2.85341e10 + 7.83967e10i −0.467668 + 1.28491i
\(498\) 1.96035e10 + 3.48781e10i 0.318726 + 0.567069i
\(499\) −2.98747e10 2.50679e10i −0.481839 0.404311i 0.369252 0.929329i \(-0.379614\pi\)
−0.851091 + 0.525018i \(0.824058\pi\)
\(500\) 3.15541e9 3.76047e9i 0.0504866 0.0601675i
\(501\) 7.27293e10 + 4.31174e10i 1.15441 + 0.684387i
\(502\) −6.67705e10 2.43025e10i −1.05140 0.382680i
\(503\) 8.78769e10 + 5.07358e10i 1.37279 + 0.792578i 0.991278 0.131787i \(-0.0420715\pi\)
0.381508 + 0.924365i \(0.375405\pi\)
\(504\) 1.62350e10 8.87993e9i 0.251611 0.137622i
\(505\) −6.37263e8 1.10377e9i −0.00979835 0.0169712i
\(506\) 2.34816e10 4.14044e9i 0.358200 0.0631603i
\(507\) 4.96332e10 + 4.26333e10i 0.751174 + 0.645234i
\(508\) −4.68500e10 + 1.70520e10i −0.703484 + 0.256047i
\(509\) −7.00551e10 1.23526e10i −1.04368 0.184030i −0.374577 0.927196i \(-0.622212\pi\)
−0.669107 + 0.743166i \(0.733323\pi\)
\(510\) −9.26344e7 + 2.45649e8i −0.00136928 + 0.00363107i
\(511\) 1.29781e10 1.08899e10i 0.190339 0.159714i
\(512\) 3.03700e9i 0.0441942i
\(513\) −8.84877e9 + 1.41696e10i −0.127765 + 0.204591i
\(514\) 5.73060e10 0.821009
\(515\) −7.74514e8 9.23030e8i −0.0110103 0.0131216i
\(516\) 3.38690e9 + 2.05958e10i 0.0477754 + 0.290522i
\(517\) 6.35634e9 3.60486e10i 0.0889703 0.504576i
\(518\) 4.09239e9 + 1.12438e10i 0.0568405 + 0.156168i
\(519\) −1.34604e10 3.83541e10i −0.185518 0.528618i
\(520\) 3.49276e7 + 1.98084e8i 0.000477700 + 0.00270917i
\(521\) 2.36854e10 1.36748e10i 0.321462 0.185596i −0.330582 0.943777i \(-0.607245\pi\)
0.652044 + 0.758181i \(0.273912\pi\)
\(522\) 9.72448e9 + 3.79591e9i 0.130974 + 0.0511250i
\(523\) 1.45372e9 2.51791e9i 0.0194300 0.0336537i −0.856147 0.516732i \(-0.827148\pi\)
0.875577 + 0.483079i \(0.160482\pi\)
\(524\) 2.86950e9 7.88388e9i 0.0380610 0.104572i
\(525\) 6.12366e10 + 7.07006e8i 0.806072 + 0.00930649i
\(526\) −2.17934e10 1.82868e10i −0.284697 0.238889i
\(527\) 2.27947e9 2.71656e9i 0.0295523 0.0352190i
\(528\) 1.28670e8 1.11446e10i 0.00165555 0.143393i
\(529\) −1.44115e10 5.24536e9i −0.184029 0.0669812i
\(530\) −3.34171e9 1.92934e9i −0.0423512 0.0244515i
\(531\) −5.44802e10 + 8.31430e9i −0.685268 + 0.104580i
\(532\) 3.91819e9 + 6.78651e9i 0.0489147 + 0.0847228i
\(533\) 1.00914e10 1.77938e9i 0.125038 0.0220476i
\(534\) −4.03590e10 + 1.41640e10i −0.496335 + 0.174189i
\(535\) −8.28805e9 + 3.01660e9i −0.101167 + 0.0368217i
\(536\) 1.36494e10 + 2.40675e9i 0.165369 + 0.0291590i
\(537\) −1.16767e10 + 1.92020e9i −0.140418 + 0.0230914i
\(538\) 4.62165e10 3.87802e10i 0.551655 0.462894i
\(539\) 1.65585e10i 0.196186i
\(540\) 2.06299e9 + 2.63902e9i 0.0242617 + 0.0310362i
\(541\) −1.91676e10 −0.223758 −0.111879 0.993722i \(-0.535687\pi\)
−0.111879 + 0.993722i \(0.535687\pi\)
\(542\) −7.27291e10 8.66752e10i −0.842774 1.00438i
\(543\) 5.82323e10 + 2.19594e10i 0.669830 + 0.252593i
\(544\) 1.87264e8 1.06203e9i 0.00213825 0.0121266i
\(545\) −2.94241e9 8.08421e9i −0.0333517 0.0916330i
\(546\) −3.28025e9 + 3.81884e9i −0.0369094 + 0.0429695i
\(547\) 4.61040e9 + 2.61469e10i 0.0514978 + 0.292059i 0.999670 0.0256991i \(-0.00818119\pi\)
−0.948172 + 0.317758i \(0.897070\pi\)
\(548\) −1.76738e10 + 1.02040e10i −0.195978 + 0.113148i
\(549\) −3.38891e10 7.82636e8i −0.373053 0.00861530i
\(550\) 1.84425e10 3.19433e10i 0.201543 0.349083i
\(551\) −1.51198e9 + 4.15413e9i −0.0164036 + 0.0450685i
\(552\) 1.50115e10 2.53209e10i 0.161684 0.272724i
\(553\) 3.56762e10 + 2.99359e10i 0.381486 + 0.320105i
\(554\) −4.48558e10 + 5.34571e10i −0.476190 + 0.567501i
\(555\) −1.88813e9 + 1.06124e9i −0.0199003 + 0.0111851i
\(556\) −5.97125e10 2.17336e10i −0.624836 0.227422i
\(557\) 8.50253e10 + 4.90894e10i 0.883339 + 0.509996i 0.871758 0.489937i \(-0.162980\pi\)
0.0115812 + 0.999933i \(0.496314\pi\)
\(558\) −1.44893e10 4.28634e10i −0.149455 0.442130i
\(559\) −2.83917e9 4.91759e9i −0.0290767 0.0503623i
\(560\) 1.54742e9 2.72852e8i 0.0157346 0.00277444i
\(561\) −7.32181e8 + 3.88929e9i −0.00739209 + 0.0392662i
\(562\) −6.27064e10 + 2.28233e10i −0.628589 + 0.228788i
\(563\) −5.77083e10 1.01755e10i −0.574387 0.101280i −0.121093 0.992641i \(-0.538640\pi\)
−0.453294 + 0.891361i \(0.649751\pi\)
\(564\) −2.86461e10 3.49507e10i −0.283106 0.345413i
\(565\) −6.92033e9 + 5.80684e9i −0.0679099 + 0.0569831i
\(566\) 1.52731e10i 0.148820i
\(567\) −1.83542e10 + 8.18039e10i −0.177584 + 0.791483i
\(568\) 6.20337e10 0.595984
\(569\) −9.36498e10 1.11607e11i −0.893424 1.06474i −0.997535 0.0701757i \(-0.977644\pi\)
0.104111 0.994566i \(-0.466800\pi\)
\(570\) −1.09710e9 + 8.99201e8i −0.0103932 + 0.00851838i
\(571\) 1.83624e10 1.04138e11i 0.172737 0.979639i −0.767987 0.640465i \(-0.778742\pi\)
0.940724 0.339174i \(-0.110147\pi\)
\(572\) 1.03704e9 + 2.84924e9i 0.00968749 + 0.0266162i
\(573\) −8.08400e10 1.52186e10i −0.749908 0.141174i
\(574\) −1.39004e10 7.88333e10i −0.128050 0.726210i
\(575\) 8.43663e10 4.87089e10i 0.771787 0.445592i
\(576\) −1.03333e10 9.08538e9i −0.0938750 0.0825378i
\(577\) −8.35675e10 + 1.44743e11i −0.753936 + 1.30585i 0.191966 + 0.981402i \(0.438514\pi\)
−0.945902 + 0.324453i \(0.894820\pi\)
\(578\) 2.68618e10 7.38023e10i 0.240671 0.661239i
\(579\) −7.79850e10 1.38749e11i −0.693900 1.23457i
\(580\) 6.79031e8 + 5.69774e8i 0.00600036 + 0.00503490i
\(581\) −5.46566e10 + 6.51372e10i −0.479665 + 0.571643i
\(582\) −1.36827e11 8.11178e10i −1.19256 0.707008i
\(583\) −5.46600e10 1.98946e10i −0.473146 0.172211i
\(584\) −1.09095e10 6.29859e9i −0.0937892 0.0541492i
\(585\) −7.78464e8 4.73741e8i −0.00664684 0.00404499i
\(586\) 5.36985e10 + 9.30085e10i 0.455377 + 0.788737i
\(587\) 8.72869e10 1.53910e10i 0.735185 0.129633i 0.206494 0.978448i \(-0.433794\pi\)
0.528690 + 0.848815i \(0.322683\pi\)
\(588\) −1.55069e10 1.33199e10i −0.129723 0.111428i
\(589\) 1.80053e10 6.55338e9i 0.149602 0.0544508i
\(590\) −4.60853e9 8.12609e8i −0.0380325 0.00670615i
\(591\) −2.78373e10 + 7.38192e10i −0.228179 + 0.605089i
\(592\) 6.81546e9 5.71885e9i 0.0554892 0.0465610i
\(593\) 5.17123e9i 0.0418191i 0.999781 + 0.0209096i \(0.00665620\pi\)
−0.999781 + 0.0209096i \(0.993344\pi\)
\(594\) 3.75343e10 + 3.37776e10i 0.301497 + 0.271321i
\(595\) −5.57952e8 −0.00445173
\(596\) −2.05447e9 2.44842e9i −0.0162823 0.0194045i
\(597\) 6.72815e9 + 4.09139e10i 0.0529662 + 0.322087i
\(598\) −1.39060e9 + 7.88650e9i −0.0108742 + 0.0616708i
\(599\) −3.22813e10 8.86921e10i −0.250751 0.688934i −0.999655 0.0262551i \(-0.991642\pi\)
0.748904 0.662679i \(-0.230580\pi\)
\(600\) −1.50792e10 4.29669e10i −0.116352 0.331535i
\(601\) 3.26169e10 + 1.84979e11i 0.250002 + 1.41783i 0.808582 + 0.588383i \(0.200235\pi\)
−0.558580 + 0.829451i \(0.688654\pi\)
\(602\) −3.84160e10 + 2.21795e10i −0.292500 + 0.168875i
\(603\) −4.90218e10 + 3.92417e10i −0.370783 + 0.296810i
\(604\) −2.24353e9 + 3.88591e9i −0.0168572 + 0.0291974i
\(605\) 2.42234e9 6.65531e9i 0.0180806 0.0496760i
\(606\) −2.37176e10 2.73832e8i −0.175866 0.00203045i
\(607\) 1.17126e11 + 9.82801e10i 0.862775 + 0.723954i 0.962564 0.271055i \(-0.0873724\pi\)
−0.0997893 + 0.995009i \(0.531817\pi\)
\(608\) 3.74541e9 4.46361e9i 0.0274085 0.0326642i
\(609\) −2.56127e8 + 2.21841e10i −0.00186202 + 0.161277i
\(610\) −2.70480e9 9.84465e8i −0.0195351 0.00711019i
\(611\) 1.06469e10 + 6.14700e9i 0.0763940 + 0.0441061i
\(612\) 3.05331e9 + 3.81428e9i 0.0217653 + 0.0271899i
\(613\) 9.69886e10 + 1.67989e11i 0.686876 + 1.18970i 0.972843 + 0.231465i \(0.0743520\pi\)
−0.285967 + 0.958240i \(0.592315\pi\)
\(614\) 1.99619e10 3.51983e9i 0.140452 0.0247656i
\(615\) 1.36727e10 4.79845e9i 0.0955773 0.0335429i
\(616\) 2.22581e10 8.10129e9i 0.154584 0.0562641i
\(617\) −2.49874e11 4.40595e10i −1.72417 0.304018i −0.778139 0.628092i \(-0.783836\pi\)
−0.946031 + 0.324075i \(0.894947\pi\)
\(618\) −2.21268e10 + 3.63868e9i −0.151693 + 0.0249454i
\(619\) −6.45714e10 + 5.41819e10i −0.439823 + 0.369055i −0.835643 0.549273i \(-0.814905\pi\)
0.395820 + 0.918328i \(0.370460\pi\)
\(620\) 3.84198e9i 0.0260009i
\(621\) 4.12461e10 + 1.26825e11i 0.277343 + 0.852784i
\(622\) 9.70444e10 0.648349
\(623\) −5.84304e10 6.96346e10i −0.387870 0.462246i
\(624\) 3.50250e9 + 1.32079e9i 0.0231015 + 0.00871157i
\(625\) 2.60042e10 1.47477e11i 0.170421 0.966506i
\(626\) 5.77284e10 + 1.58608e11i 0.375917 + 1.03282i
\(627\) −1.39333e10 + 1.62210e10i −0.0901538 + 0.104956i
\(628\) −1.41557e10 8.02809e10i −0.0910107 0.516147i
\(629\) −2.73597e9 + 1.57961e9i −0.0174787 + 0.0100913i
\(630\) −3.70084e9 + 6.08132e9i −0.0234930 + 0.0386043i
\(631\) −9.10902e9 + 1.57773e10i −0.0574585 + 0.0995210i −0.893324 0.449413i \(-0.851633\pi\)
0.835865 + 0.548934i \(0.184966\pi\)
\(632\) 1.18438e10 3.25407e10i 0.0742377 0.203966i
\(633\) 1.36571e11 2.30365e11i 0.850639 1.43484i
\(634\) 1.45011e11 + 1.21679e11i 0.897522 + 0.753110i
\(635\) 1.23288e10 1.46928e10i 0.0758271 0.0903672i
\(636\) −6.26004e10 + 3.51851e10i −0.382603 + 0.215045i
\(637\) 5.22594e9 + 1.90209e9i 0.0317400 + 0.0115524i
\(638\) 1.15721e10 + 6.68114e9i 0.0698439 + 0.0403244i
\(639\) −1.85578e11 + 2.11068e11i −1.11307 + 1.26596i
\(640\) −5.84175e8 1.01182e9i −0.00348196 0.00603092i
\(641\) −1.72048e11 + 3.03367e10i −1.01910 + 0.179695i −0.658148 0.752889i \(-0.728660\pi\)
−0.360954 + 0.932584i \(0.617549\pi\)
\(642\) −3.03672e10 + 1.61308e11i −0.178757 + 0.949546i
\(643\) 2.09323e11 7.61874e10i 1.22454 0.445697i 0.352817 0.935692i \(-0.385224\pi\)
0.871725 + 0.489996i \(0.163002\pi\)
\(644\) 6.16089e10 + 1.08633e10i 0.358179 + 0.0631566i
\(645\) −5.09005e9 6.21030e9i −0.0294092 0.0358817i
\(646\) −1.58498e9 + 1.32996e9i −0.00910112 + 0.00763675i
\(647\) 1.02730e11i 0.586247i −0.956075 0.293124i \(-0.905305\pi\)
0.956075 0.293124i \(-0.0946948\pi\)
\(648\) 6.18255e10 7.97936e9i 0.350645 0.0452552i
\(649\) −7.05434e10 −0.397629
\(650\) 7.96294e9 + 9.48986e9i 0.0446087 + 0.0531626i
\(651\) 7.43709e10 6.09554e10i 0.414075 0.339382i
\(652\) 1.70598e10 9.67512e10i 0.0944028 0.535385i
\(653\) −5.29934e10 1.45598e11i −0.291454 0.800762i −0.995855 0.0909598i \(-0.971007\pi\)
0.704401 0.709802i \(-0.251216\pi\)
\(654\) −1.57341e11 2.96203e10i −0.860063 0.161912i
\(655\) 5.60470e8 + 3.17858e9i 0.00304500 + 0.0172691i
\(656\) −5.15472e10 + 2.97608e10i −0.278349 + 0.160705i
\(657\) 5.40672e10 1.82766e10i 0.290183 0.0980921i
\(658\) 4.80200e10 8.31731e10i 0.256164 0.443690i
\(659\) 7.62706e10 2.09552e11i 0.404404 1.11109i −0.555684 0.831393i \(-0.687544\pi\)
0.960088 0.279697i \(-0.0902341\pi\)
\(660\) 2.10083e9 + 3.73774e9i 0.0110717 + 0.0196985i
\(661\) 1.76438e11 + 1.48049e11i 0.924243 + 0.775532i 0.974775 0.223190i \(-0.0716472\pi\)
−0.0505318 + 0.998722i \(0.516092\pi\)
\(662\) −1.07976e11 + 1.28680e11i −0.562204 + 0.670008i
\(663\) −1.14337e9 6.77843e8i −0.00591742 0.00350813i
\(664\) 5.94124e10 + 2.16243e10i 0.305636 + 0.111242i
\(665\) −2.61081e9 1.50735e9i −0.0133502 0.00770775i
\(666\) −9.30638e8 + 4.02977e10i −0.00473025 + 0.204825i
\(667\) 1.76457e10 + 3.05633e10i 0.0891531 + 0.154418i
\(668\) 1.31580e11 2.32010e10i 0.660820 0.116520i
\(669\) −7.48409e10 6.42859e10i −0.373624 0.320930i
\(670\) −5.01043e9 + 1.82365e9i −0.0248643 + 0.00904986i
\(671\) −4.27312e10 7.53467e9i −0.210793 0.0371684i
\(672\) 1.03180e10 2.73613e10i 0.0505961 0.134171i
\(673\) 2.14684e10 1.80141e10i 0.104650 0.0878118i −0.588961 0.808161i \(-0.700463\pi\)
0.693611 + 0.720349i \(0.256019\pi\)
\(674\) 2.31797e11i 1.12323i
\(675\) 1.91304e11 + 7.72314e10i 0.921529 + 0.372031i
\(676\) 1.03395e11 0.495123
\(677\) −1.70444e11 2.03127e11i −0.811384 0.966970i 0.188502 0.982073i \(-0.439637\pi\)
−0.999886 + 0.0151030i \(0.995192\pi\)
\(678\) 2.72807e10 + 1.65894e11i 0.129103 + 0.785075i
\(679\) 5.87023e10 3.32918e11i 0.276170 1.56624i
\(680\) 1.41894e8 + 3.89851e8i 0.000663634 + 0.00182332i
\(681\) −9.55749e10 2.72332e11i −0.444381 1.26622i
\(682\) −1.00570e10 5.70364e10i −0.0464872 0.263642i
\(683\) 3.24306e11 1.87238e11i 1.49029 0.860422i 0.490356 0.871522i \(-0.336867\pi\)
0.999938 + 0.0111006i \(0.00353352\pi\)
\(684\) 3.98267e9 + 2.60968e10i 0.0181949 + 0.119224i
\(685\) 3.92552e9 6.79920e9i 0.0178293 0.0308813i
\(686\) 5.83040e10 1.60189e11i 0.263270 0.723329i
\(687\) 5.63351e10 + 6.50417e8i 0.252902 + 0.00291988i
\(688\) 2.52668e10 + 2.12014e10i 0.112771 + 0.0946260i
\(689\) 1.25576e10 1.49656e10i 0.0557225 0.0664075i
\(690\) −1.30736e8 + 1.13235e10i −0.000576764 + 0.0499558i
\(691\) −1.75800e11 6.39861e10i −0.771095 0.280656i −0.0736406 0.997285i \(-0.523462\pi\)
−0.697454 + 0.716629i \(0.745684\pi\)
\(692\) −5.56274e10 3.21165e10i −0.242585 0.140057i
\(693\) −3.90221e10 + 9.99682e10i −0.169191 + 0.433440i
\(694\) 9.40750e10 + 1.62943e11i 0.405543 + 0.702420i
\(695\) 2.40746e10 4.24500e9i 0.103186 0.0181944i
\(696\) 1.55656e10 5.46274e9i 0.0663328 0.0232795i
\(697\) 1.98609e10 7.22878e9i 0.0841527 0.0306291i
\(698\) 2.56461e11 + 4.52210e10i 1.08044 + 0.190510i
\(699\) 3.03161e11 4.98539e10i 1.26989 0.208829i
\(700\) 7.41342e10 6.22060e10i 0.308764 0.259084i
\(701\) 1.12948e11i 0.467742i 0.972268 + 0.233871i \(0.0751394\pi\)
−0.972268 + 0.233871i \(0.924861\pi\)
\(702\) −1.49719e10 + 7.96592e9i −0.0616494 + 0.0328010i
\(703\) −1.70698e10 −0.0698887
\(704\) −1.13210e10 1.34919e10i −0.0460888 0.0549265i
\(705\) 1.62667e10 + 6.13418e9i 0.0658481 + 0.0248313i
\(706\) 1.13964e10 6.46320e10i 0.0458720 0.260153i
\(707\) −1.72409e10 4.73691e10i −0.0690055 0.189591i
\(708\) −5.67462e10 + 6.60633e10i −0.225841 + 0.262922i
\(709\) 7.71577e10 + 4.37583e11i 0.305347 + 1.73171i 0.621865 + 0.783125i \(0.286375\pi\)
−0.316517 + 0.948587i \(0.602513\pi\)
\(710\) −2.06674e10 + 1.19323e10i −0.0813304 + 0.0469562i
\(711\) 7.52873e10 + 1.37646e11i 0.294607 + 0.538623i
\(712\) −3.37954e10 + 5.85353e10i −0.131503 + 0.227771i
\(713\) 5.23168e10 1.43739e11i 0.202434 0.556182i
\(714\) −5.29527e9 + 8.93193e9i −0.0203749 + 0.0343679i
\(715\) −8.93564e8 7.49790e8i −0.00341902 0.00286890i
\(716\) −1.20201e10 + 1.43250e10i −0.0457358 + 0.0545058i
\(717\) −6.75261e10 + 3.79536e10i −0.255502 + 0.143607i
\(718\) −2.02242e10 7.36101e9i −0.0760981 0.0276974i
\(719\) 2.91184e11 + 1.68115e11i 1.08956 + 0.629059i 0.933460 0.358681i \(-0.116774\pi\)
0.156103 + 0.987741i \(0.450107\pi\)
\(720\) 5.19029e9 + 1.03929e9i 0.0193135 + 0.00386727i
\(721\) −2.38283e10 4.12718e10i −0.0881762 0.152726i
\(722\) 1.78218e11 3.14247e10i 0.655849 0.115644i
\(723\) −1.54732e10 + 8.21923e10i −0.0566273 + 0.300800i
\(724\) 9.24159e10 3.36366e10i 0.336351 0.122422i
\(725\) 5.37644e10 + 9.48011e9i 0.194600 + 0.0343132i
\(726\) −8.35518e10 1.01940e11i −0.300753 0.366944i
\(727\) −3.61510e11 + 3.03343e11i −1.29414 + 1.08592i −0.303020 + 0.952984i \(0.597995\pi\)
−0.991125 + 0.132932i \(0.957561\pi\)
\(728\) 7.95535e9i 0.0283226i
\(729\) −1.57805e11 + 2.34230e11i −0.558742 + 0.829341i
\(730\) 4.84621e9 0.0170652
\(731\) −7.52842e9 8.97202e9i −0.0263654 0.0314210i
\(732\) −4.14298e10 + 3.39564e10i −0.144301 + 0.118271i
\(733\) 5.69866e10 3.23187e11i 0.197404 1.11954i −0.711549 0.702637i \(-0.752006\pi\)
0.908953 0.416898i \(-0.136883\pi\)
\(734\) 1.09741e11 + 3.01512e11i 0.378082 + 1.03877i
\(735\) 7.72848e9 + 1.45493e9i 0.0264816 + 0.00498532i
\(736\) −8.07752e9 4.58099e10i −0.0275275 0.156116i
\(737\) −6.96090e10 + 4.01888e10i −0.235937 + 0.136218i
\(738\) 5.29463e10 2.64419e11i 0.178489 0.891389i
\(739\) −6.10128e10 + 1.05677e11i −0.204571 + 0.354327i −0.949996 0.312263i \(-0.898913\pi\)
0.745425 + 0.666589i \(0.232246\pi\)
\(740\) −1.17063e9 + 3.21629e9i −0.00390386 + 0.0107258i
\(741\) −3.51889e9 6.26071e9i −0.0116717 0.0207659i
\(742\) −1.16910e11 9.80995e10i −0.385689 0.323632i
\(743\) 4.46774e10 5.32445e10i 0.146600 0.174711i −0.687748 0.725950i \(-0.741400\pi\)
0.834347 + 0.551239i \(0.185845\pi\)
\(744\) −6.15041e10 3.64625e10i −0.200730 0.119002i
\(745\) 1.15544e9 + 4.20545e8i 0.00375078 + 0.00136517i
\(746\) −6.87242e10 3.96779e10i −0.221899 0.128113i
\(747\) −2.51312e11 + 1.37459e11i −0.807107 + 0.441458i
\(748\) 3.12700e9 + 5.41612e9i 0.00998899 + 0.0173014i
\(749\) −3.43541e11 + 6.05756e10i −1.09157 + 0.192473i
\(750\) 2.66603e10 + 2.29003e10i 0.0842598 + 0.0723763i
\(751\) −5.19998e11 + 1.89264e11i −1.63472 + 0.594988i −0.986104 0.166131i \(-0.946873\pi\)
−0.648612 + 0.761119i \(0.724650\pi\)
\(752\) −7.03266e10 1.24005e10i −0.219912 0.0387764i
\(753\) 1.79500e11 4.76000e11i 0.558321 1.48056i
\(754\) −3.43788e9 + 2.88473e9i −0.0106367 + 0.00892523i
\(755\) 1.72620e9i 0.00531254i