Properties

Label 54.9.f.a.5.12
Level $54$
Weight $9$
Character 54.5
Analytic conductor $21.998$
Analytic rank $0$
Dimension $144$
Inner twists $2$

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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 5.12
Character \(\chi\) \(=\) 54.5
Dual form 54.9.f.a.11.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-7.27231 - 8.66680i) q^{2} +(76.2898 - 27.2188i) q^{3} +(-22.2270 + 126.055i) q^{4} +(-167.053 - 458.975i) q^{5} +(-790.704 - 463.245i) q^{6} +(678.435 + 3847.60i) q^{7} +(1254.14 - 724.077i) q^{8} +(5079.27 - 4153.04i) q^{9} +O(q^{10})\) \(q+(-7.27231 - 8.66680i) q^{2} +(76.2898 - 27.2188i) q^{3} +(-22.2270 + 126.055i) q^{4} +(-167.053 - 458.975i) q^{5} +(-790.704 - 463.245i) q^{6} +(678.435 + 3847.60i) q^{7} +(1254.14 - 724.077i) q^{8} +(5079.27 - 4153.04i) q^{9} +(-2762.98 + 4785.62i) q^{10} +(5487.36 - 15076.4i) q^{11} +(1735.39 + 10221.7i) q^{12} +(19840.4 + 16648.1i) q^{13} +(28412.6 - 33860.8i) q^{14} +(-25237.2 - 30468.1i) q^{15} +(-15395.9 - 5603.66i) q^{16} +(16899.1 + 9756.70i) q^{17} +(-72931.6 - 13818.8i) q^{18} +(64706.1 + 112074. i) q^{19} +(61569.3 - 10856.3i) q^{20} +(156485. + 275066. i) q^{21} +(-170570. + 62082.4i) q^{22} +(157986. + 27857.3i) q^{23} +(75969.5 - 89375.9i) q^{24} +(116485. - 97742.7i) q^{25} -293023. i q^{26} +(274456. - 455086. i) q^{27} -500090. q^{28} +(-660633. - 787312. i) q^{29} +(-80528.2 + 440299. i) q^{30} +(159691. - 905652. i) q^{31} +(63398.2 + 174185. i) q^{32} +(8267.70 - 1.29954e6i) q^{33} +(-38336.1 - 217415. i) q^{34} +(1.65262e6 - 954138. i) q^{35} +(410616. + 732579. i) q^{36} +(996951. - 1.72677e6i) q^{37} +(500762. - 1.37583e6i) q^{38} +(1.96676e6 + 730046. i) q^{39} +(-541841. - 454658. i) q^{40} +(-421353. + 502149. i) q^{41} +(1.24594e6 - 3.35659e6i) q^{42} +(3.81176e6 + 1.38737e6i) q^{43} +(1.77849e6 + 1.02681e6i) q^{44} +(-2.75465e6 - 1.63748e6i) q^{45} +(-907493. - 1.57182e6i) q^{46} +(3.12142e6 - 550390. i) q^{47} +(-1.32708e6 - 8442.92i) q^{48} +(-8.92660e6 + 3.24902e6i) q^{49} +(-1.69423e6 - 298739. i) q^{50} +(1.55479e6 + 284363. i) q^{51} +(-2.53957e6 + 2.13095e6i) q^{52} -8.28220e6i q^{53} +(-5.94007e6 + 930877. i) q^{54} -7.83637e6 q^{55} +(3.63681e6 + 4.33418e6i) q^{56} +(7.98694e6 + 6.78889e6i) q^{57} +(-2.01915e6 + 1.14512e7i) q^{58} +(5.83221e6 + 1.60239e7i) q^{59} +(4.40161e6 - 2.50407e6i) q^{60} +(-284650. - 1.61433e6i) q^{61} +(-9.01043e6 + 5.20217e6i) q^{62} +(1.94252e7 + 1.67254e7i) q^{63} +(1.04858e6 - 1.81619e6i) q^{64} +(4.32664e6 - 1.18874e7i) q^{65} +(-1.13229e7 + 9.37897e6i) q^{66} +(-1.80267e7 - 1.51262e7i) q^{67} +(-1.60550e6 + 1.91336e6i) q^{68} +(1.28110e7 - 2.17498e6i) q^{69} +(-2.02877e7 - 7.38410e6i) q^{70} +(-9.59968e6 - 5.54238e6i) q^{71} +(3.36299e6 - 8.88627e6i) q^{72} +(1.40127e7 + 2.42707e7i) q^{73} +(-2.22157e7 + 3.91723e6i) q^{74} +(6.22619e6 - 1.06274e7i) q^{75} +(-1.55658e7 + 5.66548e6i) q^{76} +(6.17308e7 + 1.08848e7i) q^{77} +(-7.97574e6 - 2.23547e7i) q^{78} +(-4.37669e7 + 3.67248e7i) q^{79} +8.00245e6i q^{80} +(8.55125e6 - 4.21888e7i) q^{81} +7.41624e6 q^{82} +(5.29660e7 + 6.31224e7i) q^{83} +(-3.81518e7 + 1.36119e7i) q^{84} +(1.65503e6 - 9.38614e6i) q^{85} +(-1.56963e7 - 4.31252e7i) q^{86} +(-7.18293e7 - 4.20822e7i) q^{87} +(-4.03457e6 - 2.28812e7i) q^{88} +(-6.44978e7 + 3.72378e7i) q^{89} +(5.84095e6 + 3.57822e7i) q^{90} +(-5.05947e7 + 8.76326e7i) q^{91} +(-7.02312e6 + 1.92959e7i) q^{92} +(-1.24680e7 - 7.34386e7i) q^{93} +(-2.74700e7 - 2.30501e7i) q^{94} +(4.06299e7 - 4.84208e7i) q^{95} +(9.57775e6 + 1.15629e7i) q^{96} +(7.39375e7 + 2.69110e7i) q^{97} +(9.30756e7 + 5.37372e7i) q^{98} +(-3.47411e7 - 9.93663e7i) 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
\(3\) 76.2898 27.2188i 0.941850 0.336035i
\(4\) −22.2270 + 126.055i −0.0868241 + 0.492404i
\(5\) −167.053 458.975i −0.267285 0.734359i −0.998629 0.0523504i \(-0.983329\pi\)
0.731344 0.682009i \(-0.238893\pi\)
\(6\) −790.704 463.245i −0.610111 0.357442i
\(7\) 678.435 + 3847.60i 0.282564 + 1.60250i 0.713860 + 0.700288i \(0.246945\pi\)
−0.431297 + 0.902210i \(0.641944\pi\)
\(8\) 1254.14 724.077i 0.306186 0.176777i
\(9\) 5079.27 4153.04i 0.774161 0.632989i
\(10\) −2762.98 + 4785.62i −0.276298 + 0.478562i
\(11\) 5487.36 15076.4i 0.374794 1.02974i −0.598689 0.800981i \(-0.704312\pi\)
0.973484 0.228757i \(-0.0734662\pi\)
\(12\) 1735.39 + 10221.7i 0.0836897 + 0.492946i
\(13\) 19840.4 + 16648.1i 0.694668 + 0.582896i 0.920251 0.391328i \(-0.127984\pi\)
−0.225583 + 0.974224i \(0.572429\pi\)
\(14\) 28412.6 33860.8i 0.739603 0.881424i
\(15\) −25237.2 30468.1i −0.498513 0.601839i
\(16\) −15395.9 5603.66i −0.234923 0.0855050i
\(17\) 16899.1 + 9756.70i 0.202333 + 0.116817i 0.597743 0.801687i \(-0.296064\pi\)
−0.395410 + 0.918505i \(0.629397\pi\)
\(18\) −72931.6 13818.8i −0.694746 0.131638i
\(19\) 64706.1 + 112074.i 0.496513 + 0.859986i 0.999992 0.00402187i \(-0.00128020\pi\)
−0.503479 + 0.864007i \(0.667947\pi\)
\(20\) 61569.3 10856.3i 0.384808 0.0678521i
\(21\) 156485. + 275066.i 0.804628 + 1.41436i
\(22\) −170570. + 62082.4i −0.728135 + 0.265020i
\(23\) 157986. + 27857.3i 0.564558 + 0.0995468i 0.448641 0.893712i \(-0.351908\pi\)
0.115917 + 0.993259i \(0.463019\pi\)
\(24\) 75969.5 89375.9i 0.228978 0.269386i
\(25\) 116485. 97742.7i 0.298202 0.250221i
\(26\) 293023.i 0.641222i
\(27\) 274456. 455086.i 0.516437 0.856325i
\(28\) −500090. −0.813610
\(29\) −660633. 787312.i −0.934046 1.11315i −0.993375 0.114914i \(-0.963341\pi\)
0.0593293 0.998238i \(-0.481104\pi\)
\(30\) −80528.2 + 440299.i −0.0994175 + 0.543579i
\(31\) 159691. 905652.i 0.172915 0.980651i −0.767607 0.640920i \(-0.778553\pi\)
0.940523 0.339731i \(-0.110336\pi\)
\(32\) 63398.2 + 174185.i 0.0604612 + 0.166116i
\(33\) 8267.70 1.29954e6i 0.00697154 1.09580i
\(34\) −38336.1 217415.i −0.0286875 0.162695i
\(35\) 1.65262e6 954138.i 1.10128 0.635827i
\(36\) 410616. + 732579.i 0.244470 + 0.436159i
\(37\) 996951. 1.72677e6i 0.531945 0.921356i −0.467360 0.884067i \(-0.654795\pi\)
0.999305 0.0372884i \(-0.0118720\pi\)
\(38\) 500762. 1.37583e6i 0.240158 0.659829i
\(39\) 1.96676e6 + 730046.i 0.850146 + 0.315567i
\(40\) −541841. 454658.i −0.211657 0.177601i
\(41\) −421353. + 502149.i −0.149111 + 0.177704i −0.835430 0.549597i \(-0.814781\pi\)
0.686318 + 0.727301i \(0.259226\pi\)
\(42\) 1.24594e6 3.35659e6i 0.400405 1.07870i
\(43\) 3.81176e6 + 1.38737e6i 1.11494 + 0.405806i 0.832804 0.553568i \(-0.186734\pi\)
0.282138 + 0.959374i \(0.408956\pi\)
\(44\) 1.77849e6 + 1.02681e6i 0.474506 + 0.273956i
\(45\) −2.75465e6 1.63748e6i −0.671763 0.399324i
\(46\) −907493. 1.57182e6i −0.202681 0.351053i
\(47\) 3.12142e6 550390.i 0.639677 0.112792i 0.155603 0.987820i \(-0.450268\pi\)
0.484073 + 0.875027i \(0.339157\pi\)
\(48\) −1.32708e6 8442.92i −0.249995 0.00159048i
\(49\) −8.92660e6 + 3.24902e6i −1.54847 + 0.563595i
\(50\) −1.69423e6 298739.i −0.271077 0.0477982i
\(51\) 1.55479e6 + 284363.i 0.229822 + 0.0420332i
\(52\) −2.53957e6 + 2.13095e6i −0.347334 + 0.291448i
\(53\) 8.28220e6i 1.04964i −0.851212 0.524822i \(-0.824132\pi\)
0.851212 0.524822i \(-0.175868\pi\)
\(54\) −5.94007e6 + 930877.i −0.698581 + 0.109476i
\(55\) −7.83637e6 −0.856375
\(56\) 3.63681e6 + 4.33418e6i 0.369801 + 0.440712i
\(57\) 7.98694e6 + 6.78889e6i 0.756626 + 0.643131i
\(58\) −2.01915e6 + 1.14512e7i −0.178425 + 1.01190i
\(59\) 5.83221e6 + 1.60239e7i 0.481310 + 1.32239i 0.908371 + 0.418165i \(0.137327\pi\)
−0.427061 + 0.904223i \(0.640451\pi\)
\(60\) 4.40161e6 2.50407e6i 0.339631 0.193215i
\(61\) −284650. 1.61433e6i −0.0205585 0.116593i 0.972802 0.231640i \(-0.0744092\pi\)
−0.993360 + 0.115047i \(0.963298\pi\)
\(62\) −9.01043e6 + 5.20217e6i −0.609788 + 0.352061i
\(63\) 1.94252e7 + 1.67254e7i 1.23311 + 1.06173i
\(64\) 1.04858e6 1.81619e6i 0.0625000 0.108253i
\(65\) 4.32664e6 1.18874e7i 0.242381 0.665935i
\(66\) −1.13229e7 + 9.37897e6i −0.596738 + 0.494287i
\(67\) −1.80267e7 1.51262e7i −0.894573 0.750636i 0.0745489 0.997217i \(-0.476248\pi\)
−0.969122 + 0.246581i \(0.920693\pi\)
\(68\) −1.60550e6 + 1.91336e6i −0.0750887 + 0.0894872i
\(69\) 1.28110e7 2.17498e6i 0.565180 0.0959531i
\(70\) −2.02877e7 7.38410e6i −0.844967 0.307543i
\(71\) −9.59968e6 5.54238e6i −0.377767 0.218104i 0.299080 0.954228i \(-0.403320\pi\)
−0.676846 + 0.736125i \(0.736654\pi\)
\(72\) 3.36299e6 8.88627e6i 0.125140 0.330666i
\(73\) 1.40127e7 + 2.42707e7i 0.493436 + 0.854656i 0.999971 0.00756300i \(-0.00240740\pi\)
−0.506535 + 0.862219i \(0.669074\pi\)
\(74\) −2.22157e7 + 3.91723e6i −0.740855 + 0.130633i
\(75\) 6.22619e6 1.06274e7i 0.196778 0.335877i
\(76\) −1.55658e7 + 5.66548e6i −0.466570 + 0.169817i
\(77\) 6.17308e7 + 1.08848e7i 1.75606 + 0.309640i
\(78\) −7.97574e6 2.23547e7i −0.215473 0.603934i
\(79\) −4.37669e7 + 3.67248e7i −1.12367 + 0.942867i −0.998784 0.0493044i \(-0.984300\pi\)
−0.124882 + 0.992172i \(0.539855\pi\)
\(80\) 8.00245e6i 0.195372i
\(81\) 8.55125e6 4.21888e7i 0.198650 0.980070i
\(82\) 7.41624e6 0.164032
\(83\) 5.29660e7 + 6.31224e7i 1.11605 + 1.33006i 0.938236 + 0.345996i \(0.112459\pi\)
0.177817 + 0.984064i \(0.443097\pi\)
\(84\) −3.81518e7 + 1.36119e7i −0.766298 + 0.273401i
\(85\) 1.65503e6 9.38614e6i 0.0317052 0.179809i
\(86\) −1.56963e7 4.31252e7i −0.286948 0.788383i
\(87\) −7.18293e7 4.20822e7i −1.25379 0.734550i
\(88\) −4.03457e6 2.28812e7i −0.0672770 0.381547i
\(89\) −6.44978e7 + 3.72378e7i −1.02798 + 0.593505i −0.916406 0.400251i \(-0.868923\pi\)
−0.111575 + 0.993756i \(0.535590\pi\)
\(90\) 5.84095e6 + 3.57822e7i 0.0890254 + 0.545378i
\(91\) −5.05947e7 + 8.76326e7i −0.737801 + 1.27791i
\(92\) −7.02312e6 + 1.92959e7i −0.0980345 + 0.269347i
\(93\) −1.24680e7 7.34386e7i −0.166673 0.981732i
\(94\) −2.74700e7 2.30501e7i −0.351842 0.295231i
\(95\) 4.06299e7 4.84208e7i 0.498828 0.594480i
\(96\) 9.57775e6 + 1.15629e7i 0.112766 + 0.136139i
\(97\) 7.39375e7 + 2.69110e7i 0.835175 + 0.303979i 0.723981 0.689820i \(-0.242310\pi\)
0.111194 + 0.993799i \(0.464532\pi\)
\(98\) 9.30756e7 + 5.37372e7i 1.00909 + 0.582600i
\(99\) −3.47411e7 9.93663e7i −0.361662 1.03442i
\(100\) 9.73188e6 + 1.68561e7i 0.0973188 + 0.168561i
\(101\) 4.19399e7 7.39514e6i 0.403034 0.0710658i 0.0315433 0.999502i \(-0.489958\pi\)
0.371491 + 0.928437i \(0.378847\pi\)
\(102\) −8.84243e6 1.55431e7i −0.0816904 0.143594i
\(103\) 1.67444e8 6.09447e7i 1.48772 0.541486i 0.534873 0.844933i \(-0.320360\pi\)
0.952848 + 0.303447i \(0.0981374\pi\)
\(104\) 3.69371e7 + 6.51301e6i 0.315740 + 0.0556735i
\(105\) 1.00107e8 1.17773e8i 0.823584 0.968923i
\(106\) −7.17802e7 + 6.02307e7i −0.568566 + 0.477084i
\(107\) 2.08561e8i 1.59110i 0.605888 + 0.795550i \(0.292818\pi\)
−0.605888 + 0.795550i \(0.707182\pi\)
\(108\) 5.12658e7 + 4.47118e7i 0.376819 + 0.328645i
\(109\) −1.96850e8 −1.39453 −0.697266 0.716813i \(-0.745600\pi\)
−0.697266 + 0.716813i \(0.745600\pi\)
\(110\) 5.69885e7 + 6.79162e7i 0.389239 + 0.463877i
\(111\) 2.90565e7 1.58871e8i 0.191404 1.04653i
\(112\) 1.11155e7 6.30391e7i 0.0706409 0.400625i
\(113\) 2.71445e7 + 7.45789e7i 0.166482 + 0.457406i 0.994678 0.103033i \(-0.0328546\pi\)
−0.828196 + 0.560439i \(0.810632\pi\)
\(114\) 754489. 1.18592e8i 0.00446718 0.702161i
\(115\) −1.36063e7 7.71654e7i −0.0777947 0.441196i
\(116\) 1.13929e8 6.57768e7i 0.629218 0.363279i
\(117\) 1.69915e8 + 2.16210e6i 0.906751 + 0.0115380i
\(118\) 9.64620e7 1.67077e8i 0.497540 0.861765i
\(119\) −2.60749e7 + 7.16402e7i −0.130027 + 0.357247i
\(120\) −5.37122e7 1.99375e7i −0.259029 0.0961494i
\(121\) −3.29783e7 2.76721e7i −0.153846 0.129092i
\(122\) −1.19210e7 + 1.42069e7i −0.0538114 + 0.0641299i
\(123\) −1.84770e7 + 4.97776e7i −0.0807257 + 0.217477i
\(124\) 1.10613e8 + 4.02598e7i 0.467863 + 0.170288i
\(125\) −2.29552e8 1.32532e8i −0.940246 0.542852i
\(126\) 3.68996e6 2.89987e8i 0.0146400 1.15052i
\(127\) −2.44918e8 4.24211e8i −0.941470 1.63067i −0.762670 0.646788i \(-0.776112\pi\)
−0.178800 0.983885i \(-0.557222\pi\)
\(128\) −2.33661e7 + 4.12008e6i −0.0870455 + 0.0153485i
\(129\) 3.28561e8 + 2.09032e6i 1.18647 + 0.00754839i
\(130\) −1.34490e8 + 4.89504e7i −0.470887 + 0.171389i
\(131\) 2.06596e8 + 3.64285e7i 0.701515 + 0.123696i 0.513018 0.858378i \(-0.328527\pi\)
0.188497 + 0.982074i \(0.439638\pi\)
\(132\) 1.63630e8 + 2.99269e7i 0.538972 + 0.0985749i
\(133\) −3.87318e8 + 3.24998e8i −1.23783 + 1.03866i
\(134\) 2.66236e8i 0.825747i
\(135\) −2.54722e8 4.99446e7i −0.766886 0.150367i
\(136\) 2.82584e7 0.0826023
\(137\) −2.46697e8 2.94002e8i −0.700296 0.834580i 0.292264 0.956338i \(-0.405591\pi\)
−0.992560 + 0.121758i \(0.961147\pi\)
\(138\) −1.12016e8 9.52133e7i −0.308861 0.262531i
\(139\) −8.83855e7 + 5.01259e8i −0.236767 + 1.34277i 0.602093 + 0.798426i \(0.294334\pi\)
−0.838860 + 0.544347i \(0.816777\pi\)
\(140\) 8.35416e7 + 2.29529e8i 0.217466 + 0.597482i
\(141\) 2.23151e8 1.26951e8i 0.564577 0.321187i
\(142\) 2.17772e7 + 1.23504e8i 0.0535609 + 0.303759i
\(143\) 3.59865e8 2.07768e8i 0.860588 0.496860i
\(144\) −1.01472e8 + 3.54774e7i −0.235992 + 0.0825091i
\(145\) −2.50995e8 + 4.34737e8i −0.567798 + 0.983454i
\(146\) 1.08445e8 2.97950e8i 0.238670 0.655740i
\(147\) −5.92574e8 + 4.90838e8i −1.26903 + 1.05116i
\(148\) 1.95509e8 + 1.64052e8i 0.407493 + 0.341928i
\(149\) 8.72284e7 1.03955e8i 0.176975 0.210911i −0.670263 0.742123i \(-0.733819\pi\)
0.847239 + 0.531212i \(0.178263\pi\)
\(150\) −1.37384e8 + 2.33243e7i −0.271376 + 0.0460727i
\(151\) 7.71213e8 + 2.80699e8i 1.48343 + 0.539924i 0.951710 0.306997i \(-0.0993243\pi\)
0.531718 + 0.846921i \(0.321547\pi\)
\(152\) 1.62301e8 + 9.37044e7i 0.304051 + 0.175544i
\(153\) 1.26355e8 2.06257e7i 0.230583 0.0376394i
\(154\) −3.54589e8 6.14166e8i −0.630438 1.09195i
\(155\) −4.42348e8 + 7.79979e7i −0.766368 + 0.135131i
\(156\) −1.35741e8 + 2.31694e8i −0.229200 + 0.391216i
\(157\) −3.52746e8 + 1.28389e8i −0.580581 + 0.211314i −0.615582 0.788073i \(-0.711079\pi\)
0.0350006 + 0.999387i \(0.488857\pi\)
\(158\) 6.36573e8 + 1.12245e8i 1.02146 + 0.180110i
\(159\) −2.25432e8 6.31847e8i −0.352717 0.988607i
\(160\) 6.93556e7 5.81963e7i 0.105828 0.0888005i
\(161\) 6.26768e8i 0.932832i
\(162\) −4.27830e8 + 2.32698e8i −0.621170 + 0.337857i
\(163\) −5.66201e8 −0.802085 −0.401042 0.916059i \(-0.631352\pi\)
−0.401042 + 0.916059i \(0.631352\pi\)
\(164\) −5.39332e7 6.42751e7i −0.0745557 0.0888520i
\(165\) −5.97835e8 + 2.13297e8i −0.806576 + 0.287772i
\(166\) 1.61884e8 9.18092e8i 0.213193 1.20908i
\(167\) −2.22244e8 6.10611e8i −0.285736 0.785052i −0.996651 0.0817745i \(-0.973941\pi\)
0.710915 0.703278i \(-0.248281\pi\)
\(168\) 3.95423e8 + 2.31664e8i 0.496392 + 0.290818i
\(169\) −2.51669e7 1.42728e8i −0.0308519 0.174970i
\(170\) −9.33837e7 + 5.39151e7i −0.111809 + 0.0645528i
\(171\) 7.94108e8 + 3.00528e8i 0.928742 + 0.351480i
\(172\) −2.59609e8 + 4.49656e8i −0.296624 + 0.513768i
\(173\) −2.91741e8 + 8.01552e8i −0.325697 + 0.894844i 0.663490 + 0.748185i \(0.269074\pi\)
−0.989187 + 0.146660i \(0.953148\pi\)
\(174\) 1.57647e8 + 9.28565e8i 0.171984 + 1.01301i
\(175\) 4.55102e8 + 3.81876e8i 0.485240 + 0.407165i
\(176\) −1.68966e8 + 2.01366e8i −0.176096 + 0.209863i
\(177\) 8.81089e8 + 1.06371e9i 0.897690 + 1.08375i
\(178\) 7.91781e8 + 2.88185e8i 0.788724 + 0.287072i
\(179\) −7.25689e8 4.18977e8i −0.706869 0.408111i 0.103032 0.994678i \(-0.467146\pi\)
−0.809901 + 0.586567i \(0.800479\pi\)
\(180\) 2.67640e8 3.10842e8i 0.254954 0.296108i
\(181\) 1.34704e7 + 2.33315e7i 0.0125507 + 0.0217384i 0.872233 0.489091i \(-0.162672\pi\)
−0.859682 + 0.510830i \(0.829338\pi\)
\(182\) 1.12743e9 1.98797e8i 1.02756 0.181186i
\(183\) −6.56561e7 1.15409e8i −0.0585424 0.102905i
\(184\) 2.18308e8 7.94575e7i 0.190457 0.0693208i
\(185\) −9.59087e8 1.69113e8i −0.818787 0.144374i
\(186\) −5.45807e8 + 6.42126e8i −0.456024 + 0.536499i
\(187\) 2.39827e8 2.01239e8i 0.196125 0.164568i
\(188\) 4.05705e8i 0.324772i
\(189\) 1.93719e9 + 7.47249e8i 1.51819 + 0.585623i
\(190\) −7.15126e8 −0.548742
\(191\) −1.39563e9 1.66325e9i −1.04866 1.24975i −0.967453 0.253052i \(-0.918566\pi\)
−0.0812115 0.996697i \(-0.525879\pi\)
\(192\) 3.05612e7 1.67098e8i 0.0224887 0.122960i
\(193\) −1.07522e8 + 6.09788e8i −0.0774940 + 0.439490i 0.921231 + 0.389015i \(0.127185\pi\)
−0.998725 + 0.0504752i \(0.983926\pi\)
\(194\) −3.04464e8 8.36507e8i −0.214946 0.590558i
\(195\) 6.51887e6 1.02465e9i 0.00450852 0.708659i
\(196\) −2.11145e8 1.19746e9i −0.143072 0.811404i
\(197\) −1.93571e9 + 1.11758e9i −1.28521 + 0.742018i −0.977796 0.209558i \(-0.932798\pi\)
−0.307416 + 0.951575i \(0.599464\pi\)
\(198\) −6.08541e8 + 1.02372e9i −0.395939 + 0.666069i
\(199\) 7.56835e7 1.31088e8i 0.0482602 0.0835890i −0.840886 0.541212i \(-0.817966\pi\)
0.889146 + 0.457623i \(0.151299\pi\)
\(200\) 7.53153e7 2.06927e8i 0.0470721 0.129329i
\(201\) −1.78697e9 6.63307e8i −1.09479 0.406378i
\(202\) −3.69092e8 3.09705e8i −0.221682 0.186013i
\(203\) 2.58106e9 3.07599e9i 1.51990 1.81134i
\(204\) −7.04039e7 + 1.89670e8i −0.0406514 + 0.109516i
\(205\) 3.00862e8 + 1.09505e8i 0.170354 + 0.0620037i
\(206\) −1.74590e9 1.00800e9i −0.969508 0.559746i
\(207\) 9.18148e8 5.14629e8i 0.500071 0.280294i
\(208\) −2.12171e8 3.67491e8i −0.113353 0.196333i
\(209\) 2.04474e9 3.60543e8i 1.07165 0.188961i
\(210\) −1.74873e9 1.11255e7i −0.899177 0.00572060i
\(211\) 1.44673e9 5.26567e8i 0.729891 0.265659i 0.0497724 0.998761i \(-0.484150\pi\)
0.680119 + 0.733102i \(0.261928\pi\)
\(212\) 1.04402e9 + 1.84088e8i 0.516849 + 0.0911344i
\(213\) −8.83215e8 1.61535e8i −0.429090 0.0784780i
\(214\) 1.80756e9 1.51672e9i 0.861860 0.723186i
\(215\) 1.98127e9i 0.927234i
\(216\) 1.46878e7 7.69469e8i 0.00674746 0.353489i
\(217\) 3.59293e9 1.62035
\(218\) 1.43155e9 + 1.70606e9i 0.633842 + 0.755383i
\(219\) 1.72965e9 + 1.47020e9i 0.751937 + 0.639146i
\(220\) 1.74179e8 9.87816e8i 0.0743540 0.421682i
\(221\) 1.72855e8 + 4.74914e8i 0.0724623 + 0.199089i
\(222\) −1.58821e9 + 9.03530e8i −0.653877 + 0.371990i
\(223\) 2.30595e7 + 1.30777e8i 0.00932461 + 0.0528825i 0.989115 0.147144i \(-0.0470082\pi\)
−0.979790 + 0.200027i \(0.935897\pi\)
\(224\) −6.27182e8 + 3.62104e8i −0.249116 + 0.143827i
\(225\) 1.85731e8 9.80229e8i 0.0724692 0.382470i
\(226\) 4.48958e8 7.77617e8i 0.172096 0.298080i
\(227\) 1.27415e8 3.50071e8i 0.0479865 0.131842i −0.913384 0.407098i \(-0.866541\pi\)
0.961371 + 0.275257i \(0.0887628\pi\)
\(228\) −1.03330e9 + 8.55901e8i −0.382374 + 0.316726i
\(229\) 2.10136e9 + 1.76325e9i 0.764114 + 0.641168i 0.939194 0.343386i \(-0.111574\pi\)
−0.175080 + 0.984554i \(0.556018\pi\)
\(230\) −5.69828e8 + 6.79095e8i −0.203626 + 0.242672i
\(231\) 5.00570e9 8.49840e8i 1.75799 0.298462i
\(232\) −1.39860e9 5.09049e8i −0.482772 0.175714i
\(233\) −4.81147e9 2.77790e9i −1.63250 0.942526i −0.983318 0.181894i \(-0.941777\pi\)
−0.649184 0.760631i \(-0.724889\pi\)
\(234\) −1.21694e9 1.48834e9i −0.405886 0.496409i
\(235\) −7.74058e8 1.34071e9i −0.253806 0.439605i
\(236\) −2.14953e9 + 3.79019e8i −0.692938 + 0.122184i
\(237\) −2.33936e9 + 3.99301e9i −0.741487 + 1.26563i
\(238\) 8.10517e8 2.95004e8i 0.252612 0.0919433i
\(239\) −2.52819e9 4.45788e8i −0.774850 0.136627i −0.227779 0.973713i \(-0.573146\pi\)
−0.547071 + 0.837086i \(0.684257\pi\)
\(240\) 2.17817e8 + 6.10505e8i 0.0656519 + 0.184011i
\(241\) 3.08619e9 2.58962e9i 0.914861 0.767660i −0.0581765 0.998306i \(-0.518529\pi\)
0.973038 + 0.230647i \(0.0740842\pi\)
\(242\) 4.87057e8i 0.142010i
\(243\) −4.95957e8 3.45133e9i −0.142239 0.989832i
\(244\) 2.09822e8 0.0591959
\(245\) 2.98243e9 + 3.55432e9i 0.827763 + 0.986490i
\(246\) 5.65783e8 2.01861e8i 0.154493 0.0551205i
\(247\) −5.82025e8 + 3.30083e9i −0.156370 + 0.886820i
\(248\) −4.55488e8 1.25144e9i −0.120412 0.330829i
\(249\) 5.75888e9 + 3.37392e9i 1.49810 + 0.877683i
\(250\) 5.20746e8 + 2.95330e9i 0.133311 + 0.756045i
\(251\) −2.22683e9 + 1.28566e9i −0.561038 + 0.323915i −0.753562 0.657377i \(-0.771666\pi\)
0.192524 + 0.981292i \(0.438333\pi\)
\(252\) −2.54009e9 + 2.07689e9i −0.629865 + 0.515006i
\(253\) 1.28692e9 2.22900e9i 0.314100 0.544038i
\(254\) −1.89543e9 + 5.20765e9i −0.455379 + 1.25114i
\(255\) −1.29218e8 7.61115e8i −0.0305606 0.180007i
\(256\) 2.05633e8 + 1.72547e8i 0.0478778 + 0.0401742i
\(257\) 6.37774e8 7.60069e8i 0.146196 0.174229i −0.687977 0.725732i \(-0.741501\pi\)
0.834173 + 0.551503i \(0.185946\pi\)
\(258\) −2.37128e9 2.86278e9i −0.535186 0.646114i
\(259\) 7.32028e9 + 2.66436e9i 1.62678 + 0.592099i
\(260\) 1.40230e9 + 8.09617e8i 0.306865 + 0.177168i
\(261\) −6.62527e9 1.25533e9i −1.42772 0.270519i
\(262\) −1.18671e9 2.05545e9i −0.251849 0.436216i
\(263\) −5.41709e9 + 9.55179e8i −1.13225 + 0.199646i −0.708214 0.705998i \(-0.750499\pi\)
−0.424038 + 0.905645i \(0.639388\pi\)
\(264\) −9.30595e8 1.63578e9i −0.191578 0.336752i
\(265\) −3.80132e9 + 1.38357e9i −0.770816 + 0.280554i
\(266\) 5.63339e9 + 9.93318e8i 1.12523 + 0.198409i
\(267\) −3.90696e9 + 4.59642e9i −0.768765 + 0.904430i
\(268\) 2.30741e9 1.93615e9i 0.447287 0.375318i
\(269\) 2.67808e9i 0.511463i 0.966748 + 0.255732i \(0.0823163\pi\)
−0.966748 + 0.255732i \(0.917684\pi\)
\(270\) 1.41956e9 + 2.57084e9i 0.267114 + 0.483748i
\(271\) −7.38318e9 −1.36888 −0.684441 0.729068i \(-0.739954\pi\)
−0.684441 + 0.729068i \(0.739954\pi\)
\(272\) −2.05504e8 2.44910e8i −0.0375444 0.0447436i
\(273\) −1.47460e9 + 8.06260e9i −0.265476 + 1.45153i
\(274\) −7.54000e8 + 4.27615e9i −0.133773 + 0.758666i
\(275\) −8.34411e8 2.29253e9i −0.145898 0.400852i
\(276\) −1.05816e7 + 1.66324e9i −0.00182354 + 0.286628i
\(277\) 1.76545e9 + 1.00124e10i 0.299873 + 1.70066i 0.646709 + 0.762737i \(0.276145\pi\)
−0.346836 + 0.937926i \(0.612744\pi\)
\(278\) 4.98708e9 2.87929e9i 0.834963 0.482066i
\(279\) −2.95010e9 5.26325e9i −0.486877 0.868635i
\(280\) 1.38174e9 2.39324e9i 0.224799 0.389363i
\(281\) −5.10488e8 + 1.40255e9i −0.0818766 + 0.224954i −0.973875 0.227084i \(-0.927081\pi\)
0.891999 + 0.452038i \(0.149303\pi\)
\(282\) −2.72308e9 1.01079e9i −0.430590 0.159832i
\(283\) −4.27204e9 3.58467e9i −0.666023 0.558860i 0.245862 0.969305i \(-0.420929\pi\)
−0.911885 + 0.410445i \(0.865373\pi\)
\(284\) 9.12019e8 1.08690e9i 0.140194 0.167077i
\(285\) 1.78169e9 4.79991e9i 0.270055 0.727534i
\(286\) −4.41773e9 1.60792e9i −0.660291 0.240326i
\(287\) −2.21793e9 1.28052e9i −0.326904 0.188738i
\(288\) 1.04541e9 + 6.21438e8i 0.151956 + 0.0903291i
\(289\) −3.29749e9 5.71142e9i −0.472707 0.818753i
\(290\) 5.59309e9 9.86213e8i 0.790788 0.139437i
\(291\) 6.37316e9 + 4.05463e7i 0.888757 + 0.00565431i
\(292\) −3.37092e9 + 1.22691e9i −0.463678 + 0.168765i
\(293\) −4.33092e9 7.63659e8i −0.587638 0.103616i −0.128080 0.991764i \(-0.540881\pi\)
−0.459559 + 0.888147i \(0.651992\pi\)
\(294\) 8.56338e9 + 1.56619e9i 1.14619 + 0.209631i
\(295\) 6.38025e9 5.35367e9i 0.842461 0.706909i
\(296\) 2.88748e9i 0.376142i
\(297\) −5.35503e9 6.63503e9i −0.688234 0.852741i
\(298\) −1.53531e9 −0.194684
\(299\) 2.67075e9 + 3.18287e9i 0.334155 + 0.398230i
\(300\) 1.20125e9 + 1.02106e9i 0.148302 + 0.126057i
\(301\) −2.75200e9 + 1.56074e10i −0.335261 + 1.90136i
\(302\) −3.17574e9 8.72528e9i −0.381784 1.04894i
\(303\) 2.99830e9 1.70573e9i 0.355717 0.202367i
\(304\) −3.68184e8 2.08808e9i −0.0431093 0.244485i
\(305\) −6.93385e8 + 4.00326e8i −0.0801263 + 0.0462609i
\(306\) −1.09765e9 9.45098e8i −0.125193 0.107793i
\(307\) −4.13945e9 + 7.16973e9i −0.466003 + 0.807141i −0.999246 0.0388209i \(-0.987640\pi\)
0.533243 + 0.845962i \(0.320973\pi\)
\(308\) −2.74418e9 + 7.53956e9i −0.304936 + 0.837805i
\(309\) 1.11154e10 9.20710e9i 1.21925 1.00992i
\(310\) 3.89289e9 + 3.26652e9i 0.421527 + 0.353703i
\(311\) 7.93155e9 9.45246e9i 0.847845 1.01042i −0.151912 0.988394i \(-0.548543\pi\)
0.999757 0.0220287i \(-0.00701253\pi\)
\(312\) 2.99520e9 5.08509e8i 0.316088 0.0536637i
\(313\) −1.42327e10 5.18029e9i −1.48290 0.539730i −0.531327 0.847167i \(-0.678307\pi\)
−0.951569 + 0.307437i \(0.900529\pi\)
\(314\) 3.67800e9 + 2.12349e9i 0.378349 + 0.218440i
\(315\) 4.43151e9 1.17097e10i 0.450100 1.18933i
\(316\) −3.65655e9 6.33333e9i −0.366710 0.635161i
\(317\) 1.52141e10 2.68266e9i 1.50664 0.265662i 0.641475 0.767144i \(-0.278323\pi\)
0.865168 + 0.501482i \(0.167212\pi\)
\(318\) −3.83669e9 + 6.54876e9i −0.375187 + 0.640399i
\(319\) −1.54950e10 + 5.63970e9i −1.49633 + 0.544620i
\(320\) −1.00875e9 1.77870e8i −0.0962020 0.0169630i
\(321\) 5.67678e9 + 1.59111e10i 0.534665 + 1.49858i
\(322\) 5.43207e9 4.55805e9i 0.505292 0.423990i
\(323\) 2.52527e9i 0.232005i
\(324\) 5.12806e9 + 2.01566e9i 0.465343 + 0.182910i
\(325\) 3.93834e9 0.353004
\(326\) 4.11759e9 + 4.90715e9i 0.364563 + 0.434470i
\(327\) −1.50176e10 + 5.35801e9i −1.31344 + 0.468611i
\(328\) −1.64841e8 + 9.34857e8i −0.0142419 + 0.0807699i
\(329\) 4.23536e9 + 1.16366e10i 0.361499 + 0.993210i
\(330\) 6.19624e9 + 3.63016e9i 0.522484 + 0.306104i
\(331\) −4.03073e9 2.28594e10i −0.335793 1.90438i −0.419262 0.907865i \(-0.637711\pi\)
0.0834695 0.996510i \(-0.473400\pi\)
\(332\) −9.13419e9 + 5.27363e9i −0.751827 + 0.434067i
\(333\) −2.10756e9 1.29111e10i −0.171397 1.04999i
\(334\) −3.67581e9 + 6.36670e9i −0.295371 + 0.511597i
\(335\) −3.93111e9 + 1.08006e10i −0.312131 + 0.857572i
\(336\) −8.67851e8 5.11179e9i −0.0680908 0.401066i
\(337\) 7.17989e9 + 6.02465e9i 0.556671 + 0.467102i 0.877192 0.480139i \(-0.159414\pi\)
−0.320522 + 0.947241i \(0.603858\pi\)
\(338\) −1.05398e9 + 1.25608e9i −0.0807541 + 0.0962390i
\(339\) 4.10080e9 + 4.95077e9i 0.310506 + 0.374864i
\(340\) 1.14639e9 + 4.17251e8i 0.0857859 + 0.0312235i
\(341\) −1.27777e10 7.37720e9i −0.945007 0.545600i
\(342\) −3.17038e9 9.06791e9i −0.231743 0.662831i
\(343\) −7.29562e9 1.26364e10i −0.527091 0.912949i
\(344\) 5.78504e9 1.02006e9i 0.413117 0.0728436i
\(345\) −3.13838e9 5.51659e9i −0.221528 0.389398i
\(346\) 9.06853e9 3.30068e9i 0.632751 0.230302i
\(347\) 1.41930e10 + 2.50261e9i 0.978943 + 0.172614i 0.640152 0.768248i \(-0.278871\pi\)
0.338790 + 0.940862i \(0.389982\pi\)
\(348\) 6.90124e9 8.11911e9i 0.470554 0.553594i
\(349\) −6.89976e9 + 5.78958e9i −0.465085 + 0.390253i −0.844998 0.534770i \(-0.820398\pi\)
0.379913 + 0.925022i \(0.375954\pi\)
\(350\) 6.72140e9i 0.447907i
\(351\) 1.30216e10 4.45994e9i 0.857900 0.293833i
\(352\) 2.97397e9 0.193716
\(353\) 1.40801e10 + 1.67800e10i 0.906792 + 1.08067i 0.996407 + 0.0846961i \(0.0269920\pi\)
−0.0896148 + 0.995976i \(0.528564\pi\)
\(354\) 2.81142e9 1.53719e10i 0.179025 0.978844i
\(355\) −9.40155e8 + 5.33188e9i −0.0591951 + 0.335712i
\(356\) −3.26044e9 8.95798e9i −0.202991 0.557712i
\(357\) −3.92865e7 + 6.17515e9i −0.00241864 + 0.380167i
\(358\) 1.64625e9 + 9.33634e9i 0.100222 + 0.568388i
\(359\) −6.48214e9 + 3.74246e9i −0.390248 + 0.225310i −0.682268 0.731103i \(-0.739006\pi\)
0.292020 + 0.956412i \(0.405673\pi\)
\(360\) −4.64037e9 5.90468e7i −0.276276 0.00351550i
\(361\) 1.18033e8 2.04440e8i 0.00694985 0.0120375i
\(362\) 1.04248e8 2.86420e8i 0.00607064 0.0166789i
\(363\) −3.26911e9 1.21347e9i −0.188280 0.0698879i
\(364\) −9.92199e9 8.32554e9i −0.565189 0.474249i
\(365\) 8.79878e9 1.04860e10i 0.495737 0.590796i
\(366\) −5.22757e8 + 1.40832e9i −0.0291323 + 0.0784832i
\(367\) 1.36525e10 + 4.96911e9i 0.752573 + 0.273914i 0.689688 0.724107i \(-0.257748\pi\)
0.0628849 + 0.998021i \(0.479970\pi\)
\(368\) −2.27625e9 1.31419e9i −0.124116 0.0716584i
\(369\) −5.47215e7 + 4.30045e9i −0.00295156 + 0.231957i
\(370\) 5.50911e9 + 9.54206e9i 0.293951 + 0.509138i
\(371\) 3.18666e10 5.61894e9i 1.68205 0.296591i
\(372\) 9.53446e9 + 6.06586e7i 0.497880 + 0.00316753i
\(373\) −9.99839e9 + 3.63912e9i −0.516529 + 0.188001i −0.587113 0.809505i \(-0.699736\pi\)
0.0705845 + 0.997506i \(0.477514\pi\)
\(374\) −3.48820e9 6.15063e8i −0.178285 0.0314365i
\(375\) −2.11199e10 3.86270e9i −1.06799 0.195329i
\(376\) 3.51617e9 2.95041e9i 0.175921 0.147615i
\(377\) 2.66189e10i 1.31772i
\(378\) −7.61159e9 2.22235e10i −0.372828 1.08854i
\(379\) −1.19625e10 −0.579782 −0.289891 0.957060i \(-0.593619\pi\)
−0.289891 + 0.957060i \(0.593619\pi\)
\(380\) 5.20062e9 + 6.19786e9i 0.249414 + 0.297240i
\(381\) −3.02313e10 2.56966e10i −1.43469 1.21948i
\(382\) −4.26557e9 + 2.41913e10i −0.200320 + 1.13607i
\(383\) −4.05236e9 1.11338e10i −0.188327 0.517425i 0.809213 0.587515i \(-0.199894\pi\)
−0.997541 + 0.0700899i \(0.977671\pi\)
\(384\) −1.67045e9 + 9.50318e8i −0.0768262 + 0.0437063i
\(385\) −5.31647e9 3.01512e10i −0.241980 1.37234i
\(386\) 6.06684e9 3.50269e9i 0.273284 0.157780i
\(387\) 2.51228e10 8.78359e9i 1.12001 0.391587i
\(388\) −5.03569e9 + 8.72207e9i −0.222194 + 0.384851i
\(389\) −1.30188e10 + 3.57689e10i −0.568556 + 1.56209i 0.238204 + 0.971215i \(0.423441\pi\)
−0.806760 + 0.590880i \(0.798781\pi\)
\(390\) −8.92785e9 + 7.39508e9i −0.385912 + 0.319657i
\(391\) 2.39803e9 + 2.01219e9i 0.102600 + 0.0860918i
\(392\) −8.84265e9 + 1.05383e10i −0.374488 + 0.446298i
\(393\) 1.67527e10 2.84418e9i 0.702288 0.119231i
\(394\) 2.37629e10 + 8.64900e9i 0.986087 + 0.358906i
\(395\) 2.41671e10 + 1.39529e10i 0.992742 + 0.573160i
\(396\) 1.32979e10 2.17069e9i 0.540755 0.0882708i
\(397\) 2.96478e9 + 5.13516e9i 0.119352 + 0.206724i 0.919511 0.393064i \(-0.128585\pi\)
−0.800159 + 0.599788i \(0.795252\pi\)
\(398\) −1.68650e9 + 2.97376e8i −0.0672133 + 0.0118515i
\(399\) −2.07023e10 + 3.53364e10i −0.816822 + 1.39422i
\(400\) −2.34111e9 + 8.52096e8i −0.0914497 + 0.0332850i
\(401\) 1.11559e10 + 1.96708e9i 0.431445 + 0.0760754i 0.385153 0.922853i \(-0.374149\pi\)
0.0462917 + 0.998928i \(0.485260\pi\)
\(402\) 7.24662e9 + 2.03111e10i 0.277480 + 0.777729i
\(403\) 1.82457e10 1.53100e10i 0.691736 0.580435i
\(404\) 5.45112e9i 0.204626i
\(405\) −2.07921e10 + 3.12297e9i −0.772820 + 0.116077i
\(406\) −4.54293e10 −1.67198
\(407\) −2.05628e10 2.45058e10i −0.749386 0.893083i
\(408\) 2.15583e9 7.69161e8i 0.0777989 0.0277573i
\(409\) −6.45927e9 + 3.66323e10i −0.230829 + 1.30910i 0.620394 + 0.784291i \(0.286973\pi\)
−0.851223 + 0.524805i \(0.824138\pi\)
\(410\) −1.23891e9 3.40387e9i −0.0438433 0.120458i
\(411\) −2.68228e10 1.57145e10i −0.940021 0.550725i
\(412\) 3.96063e9 + 2.24619e10i 0.137460 + 0.779574i
\(413\) −5.76966e10 + 3.33111e10i −1.98312 + 1.14496i
\(414\) −1.11373e10 4.21487e9i −0.379120 0.143477i
\(415\) 2.01234e10 3.48548e10i 0.678438 1.17509i
\(416\) −1.64200e9 + 4.51136e9i −0.0548277 + 0.150638i
\(417\) 6.90077e9 + 4.06467e10i 0.228220 + 1.34425i
\(418\) −1.79947e10 1.50994e10i −0.589441 0.494600i
\(419\) −1.42038e10 + 1.69274e10i −0.460837 + 0.549204i −0.945553 0.325468i \(-0.894478\pi\)
0.484717 + 0.874671i \(0.338923\pi\)
\(420\) 1.26209e10 + 1.52368e10i 0.405595 + 0.489662i
\(421\) 3.62492e10 + 1.31936e10i 1.15390 + 0.419987i 0.846916 0.531726i \(-0.178457\pi\)
0.306988 + 0.951713i \(0.400679\pi\)
\(422\) −1.50847e10 8.70918e9i −0.475650 0.274617i
\(423\) 1.35687e10 1.57590e10i 0.423817 0.492228i
\(424\) −5.99695e9 1.03870e10i −0.185553 0.321387i
\(425\) 2.92214e9 5.15252e8i 0.0895664 0.0157930i
\(426\) 5.02302e9 + 8.82938e9i 0.152520 + 0.268097i
\(427\) 6.01818e9 2.19044e9i 0.181031 0.0658900i
\(428\) −2.62902e10 4.63567e9i −0.783464 0.138146i
\(429\) 2.17988e10 2.56457e10i 0.643581 0.757155i
\(430\) −1.71713e10 + 1.44084e10i −0.502260 + 0.421446i
\(431\) 2.55685e10i 0.740961i 0.928840 + 0.370481i \(0.120807\pi\)
−0.928840 + 0.370481i \(0.879193\pi\)
\(432\) −6.77565e9 + 5.46852e9i −0.194543 + 0.157013i
\(433\) 2.02044e10 0.574772 0.287386 0.957815i \(-0.407214\pi\)
0.287386 + 0.957815i \(0.407214\pi\)
\(434\) −2.61289e10 3.11392e10i −0.736481 0.877704i
\(435\) −7.31536e9 + 3.99978e10i −0.204305 + 1.11707i
\(436\) 4.37537e9 2.48139e10i 0.121079 0.686673i
\(437\) 7.10060e9 + 1.95087e10i 0.194702 + 0.534938i
\(438\) 1.63392e8 2.56823e10i 0.00443949 0.697810i
\(439\) −8.86332e9 5.02664e10i −0.238637 1.35338i −0.834817 0.550528i \(-0.814427\pi\)
0.596180 0.802851i \(-0.296685\pi\)
\(440\) −9.82789e9 + 5.67413e9i −0.262210 + 0.151387i
\(441\) −3.18473e10 + 5.35751e10i −0.842012 + 1.41648i
\(442\) 2.85894e9 4.95182e9i 0.0749058 0.129741i
\(443\) −6.91768e9 + 1.90062e10i −0.179616 + 0.493491i −0.996527 0.0832729i \(-0.973463\pi\)
0.816911 + 0.576764i \(0.195685\pi\)
\(444\) 1.93807e10 + 7.19395e9i 0.498697 + 0.185112i
\(445\) 2.78658e10 + 2.33822e10i 0.710610 + 0.596272i
\(446\) 9.65723e8 1.15090e9i 0.0244069 0.0290870i
\(447\) 3.82511e9 1.03049e10i 0.0958107 0.258116i
\(448\) 7.69935e9 + 2.80233e9i 0.191136 + 0.0695677i
\(449\) 1.52143e10 + 8.78395e9i 0.374339 + 0.216125i 0.675352 0.737495i \(-0.263992\pi\)
−0.301013 + 0.953620i \(0.597325\pi\)
\(450\) −9.84614e9 + 5.51884e9i −0.240113 + 0.134585i
\(451\) 5.25848e9 + 9.10796e9i 0.127103 + 0.220148i
\(452\) −1.00044e10 + 1.76405e9i −0.239683 + 0.0422627i
\(453\) 6.64760e10 + 4.22923e8i 1.57860 + 0.0100431i
\(454\) −3.96060e9 + 1.44154e9i −0.0932262 + 0.0339316i
\(455\) 4.86731e10 + 8.58238e9i 1.13565 + 0.200245i
\(456\) 1.49324e10 + 2.73105e9i 0.345359 + 0.0631642i
\(457\) −5.74812e9 + 4.82324e9i −0.131783 + 0.110579i −0.706297 0.707916i \(-0.749636\pi\)
0.574514 + 0.818495i \(0.305191\pi\)
\(458\) 3.10350e10i 0.705325i
\(459\) 9.07819e9 5.01277e9i 0.204526 0.112935i
\(460\) 1.00295e10 0.224001
\(461\) −2.83961e10 3.38412e10i −0.628717 0.749276i 0.353826 0.935311i \(-0.384881\pi\)
−0.982543 + 0.186035i \(0.940436\pi\)
\(462\) −4.37684e10 3.72031e10i −0.960711 0.816604i
\(463\) 3.22166e9 1.82710e10i 0.0701062 0.397592i −0.929481 0.368869i \(-0.879745\pi\)
0.999587 0.0287226i \(-0.00914393\pi\)
\(464\) 5.75923e9 + 1.58234e10i 0.124249 + 0.341371i
\(465\) −3.16236e10 + 1.79906e10i −0.676395 + 0.384800i
\(466\) 1.09150e10 + 6.19018e10i 0.231461 + 1.31268i
\(467\) 2.68714e10 1.55142e10i 0.564967 0.326184i −0.190170 0.981751i \(-0.560904\pi\)
0.755137 + 0.655568i \(0.227571\pi\)
\(468\) −4.04924e9 + 2.13706e10i −0.0844092 + 0.445486i
\(469\) 4.59695e10 7.96214e10i 0.950119 1.64565i
\(470\) −5.99046e9 + 1.64586e10i −0.122763 + 0.337289i
\(471\) −2.34163e10 + 1.93961e10i −0.475811 + 0.394122i
\(472\) 1.89169e10 + 1.58732e10i 0.381138 + 0.319813i
\(473\) 4.18331e10 4.98547e10i 0.835747 0.996005i
\(474\) 5.16192e10 8.76362e9i 1.02258 0.173608i
\(475\) 1.84917e10 + 6.73044e9i 0.363248 + 0.132211i
\(476\) −8.45107e9 4.87923e9i −0.164620 0.0950437i
\(477\) −3.43963e10 4.20675e10i −0.664413 0.812594i
\(478\) 1.45222e10 + 2.51532e10i 0.278177 + 0.481817i
\(479\) 3.05756e10 5.39131e9i 0.580809 0.102412i 0.124478 0.992222i \(-0.460274\pi\)
0.456331 + 0.889810i \(0.349163\pi\)
\(480\) 3.70709e9 6.32756e9i 0.0698343 0.119199i
\(481\) 4.85273e10 1.76625e10i 0.906579 0.329968i
\(482\) −4.48875e10 7.91488e9i −0.831644 0.146641i
\(483\) 1.70599e10 + 4.78160e10i 0.313464 + 0.878587i
\(484\) 4.22123e9 3.54203e9i 0.0769232 0.0645462i
\(485\) 3.84310e10i 0.694568i
\(486\) −2.63053e10 + 2.93975e10i −0.471517 + 0.526945i
\(487\) −2.34658e10 −0.417175 −0.208588 0.978004i \(-0.566887\pi\)
−0.208588 + 0.978004i \(0.566887\pi\)
\(488\) −1.52589e9 1.81849e9i −0.0269057 0.0320650i
\(489\) −4.31954e10 + 1.54113e10i −0.755443 + 0.269529i
\(490\) 9.11545e9 5.16963e10i 0.158123 0.896758i
\(491\) −2.52072e10 6.92562e10i −0.433709 1.19161i −0.943519 0.331319i \(-0.892507\pi\)
0.509810 0.860287i \(-0.329716\pi\)
\(492\) −5.86405e9 3.43554e9i −0.100078 0.0586319i
\(493\) −3.48254e9 1.97505e10i −0.0589533 0.334341i
\(494\) 3.28403e10 1.89604e10i 0.551441 0.318375i
\(495\) −3.98030e10 + 3.25447e10i −0.662972 + 0.542076i
\(496\) −7.53355e9 + 1.30485e10i −0.124472 + 0.215593i
\(497\) 1.48121e10 4.06959e10i 0.242768 0.666998i
\(498\) −1.26393e10 7.44473e10i −0.205496 1.21041i
\(499\) −4.07948e10 3.42309e10i −0.657965 0.552098i 0.251511 0.967854i \(-0.419072\pi\)
−0.909476 + 0.415756i \(0.863517\pi\)
\(500\) 2.18086e10 2.59905e10i 0.348938 0.415848i
\(501\) −3.35751e10 4.05342e10i −0.532925 0.643384i
\(502\) 2.73368e10 + 9.94977e9i 0.430459 + 0.156674i
\(503\) −6.43991e10 3.71808e10i −1.00602 0.580827i −0.0959980 0.995382i \(-0.530604\pi\)
−0.910025 + 0.414554i \(0.863938\pi\)
\(504\) 3.64724e10 + 6.91067e9i 0.565252 + 0.107102i
\(505\) −1.04004e10 1.80140e10i −0.159913 0.276977i
\(506\) −2.86772e10 + 5.05656e9i −0.437456 + 0.0771354i
\(507\) −5.80488e9 1.02037e10i −0.0878540 0.154428i
\(508\) 5.89179e10 2.14444e10i 0.884692 0.322002i
\(509\) 3.45092e10 + 6.08490e9i 0.514119 + 0.0906530i 0.424688 0.905340i \(-0.360384\pi\)
0.0894312 + 0.995993i \(0.471495\pi\)
\(510\) −5.65672e9 + 6.65497e9i −0.0836150 + 0.0983706i
\(511\) −8.38773e10 + 7.03814e10i −1.23016 + 1.03223i
\(512\) 3.03700e9i 0.0441942i
\(513\) 6.87624e10 + 1.31255e9i 0.992845 + 0.0189516i
\(514\) −1.12255e10 −0.160824
\(515\) −5.59442e10 6.66717e10i −0.795291 0.947791i
\(516\) −7.56642e9 + 4.13705e10i −0.106731 + 0.583568i
\(517\) 8.83045e9 5.00799e10i 0.123601 0.700974i
\(518\) −3.01438e10 8.28195e10i −0.418677 1.15031i
\(519\) −4.39561e8 + 6.90911e10i −0.00605828 + 0.952254i
\(520\) −3.18115e9 1.80412e10i −0.0435082 0.246747i
\(521\) −4.49010e10 + 2.59236e10i −0.609404 + 0.351840i −0.772732 0.634732i \(-0.781110\pi\)
0.163328 + 0.986572i \(0.447777\pi\)
\(522\) 3.73013e10 + 6.65491e10i 0.502391 + 0.896314i
\(523\) −5.75248e10 + 9.96358e10i −0.768862 + 1.33171i 0.169319 + 0.985561i \(0.445843\pi\)
−0.938181 + 0.346146i \(0.887490\pi\)
\(524\) −9.18401e9 + 2.52329e10i −0.121817 + 0.334689i
\(525\) 4.51139e10 + 1.67459e10i 0.593845 + 0.220430i
\(526\) 4.76731e10 + 4.00025e10i 0.622774 + 0.522569i
\(527\) 1.15348e10 1.37466e10i 0.149544 0.178219i
\(528\) −7.40944e9 + 1.99612e10i −0.0953344 + 0.256833i
\(529\) −4.94046e10 1.79818e10i −0.630876 0.229620i
\(530\) 3.96355e10 + 2.28836e10i 0.502320 + 0.290015i
\(531\) 9.61711e10 + 5.71681e10i 1.20967 + 0.719078i
\(532\) −3.23589e10 5.60472e10i −0.403968 0.699693i
\(533\) −1.67196e10 + 2.94812e9i −0.207166 + 0.0365289i
\(534\) 6.82489e10 + 4.34202e8i 0.839326 + 0.00533983i
\(535\) 9.57241e10 3.48407e10i 1.16844 0.425277i
\(536\) −3.35604e10 5.91761e9i −0.406601 0.0716947i
\(537\) −6.67668e10 1.22113e10i −0.802903 0.146846i
\(538\) 2.32104e10 1.94758e10i 0.277047 0.232470i
\(539\) 1.52409e11i 1.80575i
\(540\) 1.19575e10 3.09989e10i 0.140626 0.364562i
\(541\) 4.80864e10 0.561349 0.280675 0.959803i \(-0.409442\pi\)
0.280675 + 0.959803i \(0.409442\pi\)
\(542\) 5.36928e10 + 6.39886e10i 0.622184 + 0.741490i
\(543\) 1.66271e9 + 1.41331e9i 0.0191257 + 0.0162569i
\(544\) −6.28099e8 + 3.56213e9i −0.00717187 + 0.0406737i
\(545\) 3.28843e10 + 9.03489e10i 0.372737 + 1.02409i
\(546\) 8.06008e10 4.58537e10i 0.906919 0.515945i
\(547\) 1.71400e10 + 9.72057e10i 0.191453 + 1.08578i 0.917381 + 0.398011i \(0.130299\pi\)
−0.725928 + 0.687771i \(0.758589\pi\)
\(548\) 4.25438e10 2.45627e10i 0.471753 0.272367i
\(549\) −8.15019e9 7.01746e9i −0.0897178 0.0772486i
\(550\) −1.38008e10 + 2.39036e10i −0.150818 + 0.261224i
\(551\) 4.54904e10 1.24984e11i 0.493529 1.35596i
\(552\) 1.44919e10 1.20039e10i 0.156088 0.129290i
\(553\) −1.70995e11 1.43482e11i −1.82845 1.53425i
\(554\) 7.39364e10 8.81140e10i 0.784909 0.935418i
\(555\) −7.77716e10 + 1.32036e10i −0.819689 + 0.139162i
\(556\) −6.12218e10 2.22829e10i −0.640630 0.233170i
\(557\) −5.36382e10 3.09681e10i −0.557255 0.321731i 0.194788 0.980845i \(-0.437598\pi\)
−0.752043 + 0.659114i \(0.770931\pi\)
\(558\) −2.41616e10 + 6.38439e10i −0.249223 + 0.658541i
\(559\) 5.25299e10 + 9.09845e10i 0.537972 + 0.931795i
\(560\) −3.07902e10 + 5.42914e9i −0.313084 + 0.0552051i
\(561\) 1.28189e10 2.18803e10i 0.129419 0.220903i
\(562\) 1.58681e10 5.77551e9i 0.159067 0.0578955i
\(563\) 1.62673e10 + 2.86837e9i 0.161914 + 0.0285497i 0.254017 0.967200i \(-0.418248\pi\)
−0.0921037 + 0.995749i \(0.529359\pi\)
\(564\) 1.10428e10 + 3.09512e10i 0.109135 + 0.305887i
\(565\) 2.96953e10 2.49173e10i 0.291402 0.244516i
\(566\) 6.30937e10i 0.614781i
\(567\) 1.68127e11 + 4.27939e9i 1.62669 + 0.0414047i
\(568\) −1.60524e10 −0.154223
\(569\) −6.32934e10 7.54302e10i −0.603823 0.719608i 0.374376 0.927277i \(-0.377857\pi\)
−0.978199 + 0.207669i \(0.933412\pi\)
\(570\) −5.45568e10 + 1.94649e10i −0.516833 + 0.184397i
\(571\) −3.39395e10 + 1.92481e11i −0.319272 + 1.81068i 0.227925 + 0.973679i \(0.426806\pi\)
−0.547197 + 0.837004i \(0.684305\pi\)
\(572\) 1.81916e10 + 4.99809e10i 0.169936 + 0.466896i
\(573\) −1.51744e11 8.89013e10i −1.40764 0.824688i
\(574\) 5.03144e9 + 2.85347e10i 0.0463495 + 0.262861i
\(575\) 2.11259e10 1.21971e10i 0.193261 0.111579i
\(576\) −2.21669e9 1.35797e10i −0.0201380 0.123367i
\(577\) 2.88125e10 4.99046e10i 0.259942 0.450233i −0.706284 0.707929i \(-0.749630\pi\)
0.966226 + 0.257695i \(0.0829631\pi\)
\(578\) −2.55194e10 + 7.01140e10i −0.228644 + 0.628193i
\(579\) 8.39488e9 + 4.94472e10i 0.0746965 + 0.439975i
\(580\) −4.92220e10 4.13022e10i −0.434958 0.364973i
\(581\) −2.06936e11 + 2.46616e11i −1.81606 + 2.16430i
\(582\) −4.59962e10 5.55298e10i −0.400895 0.483988i
\(583\) −1.24866e11 4.54474e10i −1.08086 0.393401i
\(584\) 3.51478e10 + 2.02926e10i 0.302167 + 0.174456i
\(585\) −2.73925e10 7.83478e10i −0.233888 0.668965i
\(586\) 2.48773e10 + 4.30888e10i 0.210967 + 0.365405i
\(587\) 5.98680e10 1.05563e10i 0.504246 0.0889122i 0.0842620 0.996444i \(-0.473147\pi\)
0.419984 + 0.907531i \(0.362036\pi\)
\(588\) −4.87017e10 8.56070e10i −0.407413 0.716143i
\(589\) 1.11833e11 4.07039e10i 0.929201 0.338201i
\(590\) −9.27984e10 1.63629e10i −0.765830 0.135037i
\(591\) −1.17256e11 + 1.37948e11i −0.961133 + 1.13075i
\(592\) −2.50252e10 + 2.09986e10i −0.203747 + 0.170964i
\(593\) 8.01163e10i 0.647891i 0.946076 + 0.323946i \(0.105010\pi\)
−0.946076 + 0.323946i \(0.894990\pi\)
\(594\) −1.85611e10 + 9.46630e10i −0.149093 + 0.760386i
\(595\) 3.72369e10 0.297102
\(596\) 1.11652e10 + 1.33062e10i 0.0884877 + 0.105456i
\(597\) 2.20583e9 1.20607e10i 0.0173650 0.0949454i
\(598\) 8.16282e9 4.62937e10i 0.0638316 0.362007i
\(599\) 8.06796e10 + 2.21665e11i 0.626695 + 1.72183i 0.689974 + 0.723834i \(0.257622\pi\)
−0.0632787 + 0.997996i \(0.520156\pi\)
\(600\) 1.13476e8 1.78364e10i 0.000875587 0.137627i
\(601\) 1.45950e10 + 8.27726e10i 0.111868 + 0.634437i 0.988253 + 0.152826i \(0.0488373\pi\)
−0.876385 + 0.481612i \(0.840052\pi\)
\(602\) 1.55279e11 8.96507e10i 1.18230 0.682602i
\(603\) −1.54382e11 1.96445e9i −1.16769 0.0148584i
\(604\) −5.25253e10 + 9.09765e10i −0.394658 + 0.683568i
\(605\) −7.19166e9 + 1.97589e10i −0.0536794 + 0.147483i
\(606\) −3.65878e10 1.35811e10i −0.271297 0.100703i
\(607\) −1.66350e10 1.39584e10i −0.122537 0.102821i 0.579460 0.815001i \(-0.303264\pi\)
−0.701997 + 0.712180i \(0.747708\pi\)
\(608\) −1.54194e10 + 1.83761e10i −0.112837 + 0.134474i
\(609\) 1.13184e11 3.04920e11i 0.822840 2.21675i
\(610\) 8.51206e9 + 3.09814e9i 0.0614774 + 0.0223759i
\(611\) 7.10932e10 + 4.10457e10i 0.510109 + 0.294512i
\(612\) −2.08508e8 + 1.63862e10i −0.00148633 + 0.116808i
\(613\) 8.70522e10 + 1.50779e11i 0.616507 + 1.06782i 0.990118 + 0.140236i \(0.0447861\pi\)
−0.373611 + 0.927585i \(0.621881\pi\)
\(614\) 9.22420e10 1.62648e10i 0.649016 0.114439i
\(615\) 2.59333e10 + 1.64989e8i 0.181283 + 0.00115333i
\(616\) 8.53004e10 3.10468e10i 0.592418 0.215622i
\(617\) 1.01384e11 + 1.78768e10i 0.699567 + 0.123353i 0.512110 0.858920i \(-0.328864\pi\)
0.187458 + 0.982273i \(0.439975\pi\)
\(618\) −1.60631e11 2.93785e10i −1.10122 0.201408i
\(619\) 5.63741e9 4.73035e9i 0.0383988 0.0322204i −0.623386 0.781914i \(-0.714244\pi\)
0.661785 + 0.749694i \(0.269799\pi\)
\(620\) 5.74940e10i 0.389095i
\(621\) 5.60378e10 6.42519e10i 0.376803 0.432036i
\(622\) −1.39603e11 −0.932683
\(623\) −1.87034e11 2.22898e11i −1.24156 1.47963i
\(624\) −2.61892e10 2.22608e10i −0.172736 0.146826i
\(625\) −1.21670e10 + 6.90023e10i −0.0797375 + 0.452214i
\(626\) 5.86083e10 + 1.61025e11i 0.381647 + 1.04857i
\(627\) 1.46179e11 8.31612e10i 0.945836 0.538085i
\(628\) −8.34365e9 4.73192e10i −0.0536435 0.304228i
\(629\) 3.36951e10 1.94539e10i 0.215261 0.124281i
\(630\) −1.33713e11 + 4.67496e10i −0.848812 + 0.296767i
\(631\) 6.43068e9 1.11383e10i 0.0405639 0.0702587i −0.845031 0.534718i \(-0.820418\pi\)
0.885595 + 0.464459i \(0.153751\pi\)
\(632\) −2.82982e10 + 7.77485e10i −0.177374 + 0.487331i
\(633\) 9.60383e10 7.95501e10i 0.598177 0.495479i
\(634\) −1.33892e11 1.12349e11i −0.828701 0.695363i
\(635\) −1.53788e11 + 1.83277e11i −0.945860 + 1.12723i
\(636\) 8.46584e10 1.43728e10i 0.517418 0.0878444i
\(637\) −2.31197e11 8.41489e10i −1.40419 0.511082i
\(638\) 1.61562e11 + 9.32781e10i 0.975119 + 0.562985i
\(639\) −7.17771e10 + 1.17166e10i −0.430509 + 0.0702747i
\(640\) 5.79439e9 + 1.00362e10i 0.0345373 + 0.0598203i
\(641\) 2.56453e10 4.52195e9i 0.151906 0.0267851i −0.0971779 0.995267i \(-0.530982\pi\)
0.249084 + 0.968482i \(0.419870\pi\)
\(642\) 9.66148e10 1.64910e11i 0.568726 0.970748i
\(643\) −2.39363e11 + 8.71209e10i −1.40027 + 0.509658i −0.928259 0.371933i \(-0.878695\pi\)
−0.472014 + 0.881591i \(0.656473\pi\)
\(644\) −7.90075e10 1.39311e10i −0.459330 0.0809923i
\(645\) −5.39278e10 1.51150e11i −0.311583 0.873315i
\(646\) 2.18860e10 1.83645e10i 0.125671 0.105451i
\(647\) 8.14847e10i 0.465006i −0.972596 0.232503i \(-0.925308\pi\)
0.972596 0.232503i \(-0.0746916\pi\)
\(648\) −1.98235e10 5.91024e10i −0.112430 0.335201i
\(649\) 2.73586e11 1.54211
\(650\) −2.86408e10 3.41328e10i −0.160447 0.191214i
\(651\) 2.74104e11 9.77952e10i 1.52613 0.544495i
\(652\) 1.25849e10 7.13727e10i 0.0696403 0.394950i
\(653\) −6.38223e10 1.75350e11i −0.351010 0.964393i −0.982046 0.188640i \(-0.939592\pi\)
0.631036 0.775754i \(-0.282630\pi\)
\(654\) 1.55650e11 + 9.11896e10i 0.850819 + 0.498464i
\(655\) −1.77928e10 1.00908e11i −0.0966671 0.548226i
\(656\) 9.30099e9 5.36993e9i 0.0502243 0.0289970i
\(657\) 1.71972e11 + 6.50823e10i 0.922987 + 0.349302i
\(658\) 7.00509e10 1.21332e11i 0.373689 0.647248i
\(659\) 4.39565e10 1.20769e11i 0.233067 0.640347i −0.766932 0.641729i \(-0.778218\pi\)
0.999999 + 0.00138143i \(0.000439723\pi\)
\(660\) −1.35991e10 8.01012e10i −0.0716698 0.422147i
\(661\) 2.38975e10 + 2.00524e10i 0.125183 + 0.105041i 0.703230 0.710962i \(-0.251740\pi\)
−0.578047 + 0.816004i \(0.696185\pi\)
\(662\) −1.68805e11 + 2.01174e11i −0.878929 + 1.04747i
\(663\) 2.61137e10 + 3.15262e10i 0.135149 + 0.163162i
\(664\) 1.12132e11 + 4.08128e10i 0.576843 + 0.209954i
\(665\) 2.13868e11 + 1.23477e11i 1.09360 + 0.631393i
\(666\) −9.65712e10 + 1.12159e11i −0.490852 + 0.570084i
\(667\) −8.24387e10 1.42788e11i −0.416512 0.721421i
\(668\) 8.19106e10 1.44430e10i 0.411372 0.0725359i
\(669\) 5.31880e9 + 9.34930e9i 0.0265527 + 0.0466740i
\(670\) 1.22195e11 4.44755e10i 0.606395 0.220710i
\(671\) −2.59003e10 4.56692e9i −0.127766 0.0225285i
\(672\) −3.79916e10 + 4.46960e10i −0.186299 + 0.219175i
\(673\) 8.44809e10 7.08879e10i 0.411811 0.345551i −0.413226 0.910628i \(-0.635598\pi\)
0.825038 + 0.565078i \(0.191154\pi\)
\(674\) 1.06040e11i 0.513842i
\(675\) −1.25113e10 7.98369e10i −0.0602683 0.384581i
\(676\) 1.85511e10 0.0888346
\(677\) 5.47028e9 + 6.51922e9i 0.0260408 + 0.0310342i 0.778908 0.627139i \(-0.215774\pi\)
−0.752867 + 0.658173i \(0.771330\pi\)
\(678\) 1.30851e10 7.15444e10i 0.0619237 0.338576i
\(679\) −5.33811e10 + 3.02739e11i −0.251136 + 1.42426i
\(680\) −4.72066e9 1.29699e10i −0.0220784 0.0606598i
\(681\) 1.91974e8 3.01750e10i 0.000892596 0.140300i
\(682\) 2.89866e10 + 1.64391e11i 0.133986 + 0.759873i
\(683\) 3.15283e11 1.82029e11i 1.44883 0.836482i 0.450418 0.892818i \(-0.351275\pi\)
0.998412 + 0.0563354i \(0.0179416\pi\)
\(684\) −5.55338e10 + 9.34218e10i −0.253707 + 0.426799i
\(685\) −9.37279e10 + 1.62342e11i −0.425703 + 0.737339i
\(686\) −5.64611e10 + 1.55125e11i −0.254949 + 0.700465i
\(687\) 2.08306e11 + 7.73214e10i 0.935135 + 0.347115i
\(688\) −5.09113e10 4.27196e10i −0.227227 0.190666i
\(689\) 1.37883e11 1.64322e11i 0.611833 0.729154i
\(690\) −2.49879e10 + 6.73180e10i −0.110239 + 0.296985i
\(691\) −3.92737e11 1.42944e11i −1.72262 0.626982i −0.724558 0.689214i \(-0.757956\pi\)
−0.998062 + 0.0622321i \(0.980178\pi\)
\(692\) −9.45555e10 5.45916e10i −0.412347 0.238068i
\(693\) 3.58752e11 2.01083e11i 1.55547 0.871853i
\(694\) −8.15265e10 1.41208e11i −0.351448 0.608725i
\(695\) 2.44830e11 4.31702e10i 1.04936 0.185031i
\(696\) −1.20555e11 7.66974e8i −0.513744 0.00326846i
\(697\) −1.20198e10 + 4.37485e9i −0.0509291 + 0.0185367i
\(698\) 1.00354e11 + 1.76952e10i 0.422780 + 0.0745476i
\(699\) −4.42677e11 8.09631e10i −1.85429 0.339139i
\(700\) −5.82531e10 + 4.88801e10i −0.242620 + 0.203582i
\(701\) 8.85750e10i 0.366808i 0.983038 + 0.183404i \(0.0587117\pi\)
−0.983038 + 0.183404i \(0.941288\pi\)
\(702\) −1.33351e11 8.04218e10i −0.549094 0.331151i
\(703\) 2.58035e11 1.05647
\(704\) −2.16276e10 2.57748e10i −0.0880478 0.104931i
\(705\) −9.55452e10 8.12134e10i −0.386770 0.328754i
\(706\) 4.30342e10 2.44059e11i 0.173219 0.982374i
\(707\) 5.69070e10 + 1.56351e11i 0.227766 + 0.625781i
\(708\) −1.53670e11 + 8.74229e10i −0.611586 + 0.347930i
\(709\) 2.44339e10 + 1.38572e11i 0.0966959 + 0.548390i 0.994214 + 0.107413i \(0.0342568\pi\)
−0.897519 + 0.440977i \(0.854632\pi\)
\(710\) 5.30475e10 3.06270e10i 0.208752 0.120523i
\(711\) −6.97844e10 + 3.68300e11i −0.273074 + 1.44120i
\(712\) −5.39262e10 + 9.34028e10i −0.209836 + 0.363446i
\(713\) 5.04580e10 1.38632e11i 0.195241 0.536421i
\(714\) 5.38045e10 4.45671e10i 0.207026 0.171483i
\(715\) −1.55477e11 1.30460e11i −0.594896 0.499177i
\(716\) 6.89442e10 8.21645e10i 0.262329 0.312631i
\(717\) −2.05009e11 + 3.48053e10i −0.775704 + 0.131695i
\(718\) 7.95753e10 + 2.89631e10i 0.299420 + 0.108980i
\(719\) 3.03352e10 + 1.75140e10i 0.113509 + 0.0655346i 0.555680 0.831396i \(-0.312458\pi\)
−0.442170 + 0.896931i \(0.645791\pi\)
\(720\) 3.32345e10 + 4.06466e10i 0.123668 + 0.151250i
\(721\) 3.48091e11 + 6.02911e11i 1.28811 + 2.23107i
\(722\) −2.63021e9 + 4.63777e8i −0.00967926 + 0.00170671i
\(723\) 1.64959e11 2.81565e11i 0.603701 1.03045i
\(724\) −3.24047e9 + 1.17943e9i −0.0117938 + 0.00429259i
\(725\) −1.53908e11 2.71381e10i −0.557069 0.0982263i
\(726\) 1.32571e10 + 3.71575e10i 0.0477202 + 0.133752i
\(727\) −2.69561e11 + 2.26188e11i −0.964982 + 0.809716i −0.981756 0.190143i \(-0.939105\pi\)
0.0167743 + 0.999859i \(0.494660\pi\)
\(728\) 1.46538e11i 0.521704i
\(729\) −1.31778e11 2.49802e11i −0.466586 0.884476i
\(730\) −1.54867e11 −0.545342
\(731\) 5.08792e10 + 6.06355e10i 0.178185 + 0.212353i
\(732\) 1.60073e10 5.71111e9i 0.0557536 0.0198919i
\(733\) −1.03707e10 + 5.88153e10i −0.0359247 + 0.203739i −0.997487 0.0708471i \(-0.977430\pi\)
0.961562 + 0.274586i \(0.0885409\pi\)
\(734\) −5.62191e10 1.54461e11i −0.193687 0.532149i
\(735\) 3.24274e11 + 1.89980e11i 1.11112 + 0.650968i
\(736\) 5.16373e9 + 2.92850e10i 0.0175976 + 0.0998007i
\(737\) −3.26967e11 + 1.88774e11i −1.10824 + 0.639842i
\(738\) 3.76691e10 3.07999e10i 0.126987 0.103830i
\(739\) 6.06781e10 1.05097e11i 0.203448 0.352383i −0.746189 0.665734i \(-0.768118\pi\)
0.949637 + 0.313351i \(0.101452\pi\)
\(740\) 4.26352e10 1.17139e11i 0.142181 0.390639i
\(741\) 4.54421e10 + 2.67662e11i 0.150725 + 0.887796i
\(742\) −2.80442e11 2.35319e11i −0.925182 0.776320i
\(743\) 1.08931e11 1.29819e11i 0.357433 0.425972i −0.557124 0.830430i \(-0.688095\pi\)
0.914557 + 0.404457i \(0.132540\pi\)
\(744\) −6.88118e10 8.30744e10i −0.224580 0.271129i
\(745\) −6.22844e10 2.26697e10i −0.202187 0.0735902i
\(746\) 1.04251e11 + 6.01893e10i 0.336608 + 0.194341i
\(747\) 5.31178e11 + 1.00646e11i 1.70592 + 0.323232i
\(748\) 2.00366e10 + 3.47045e10i 0.0640056 + 0.110861i
\(749\) −8.02458e11 + 1.41495e11i −2.54974 + 0.449587i
\(750\) 1.20113e11 + 2.11133e11i 0.379616 + 0.667283i
\(751\) 5.34515e11 1.94548e11i 1.68035 0.611598i 0.686994 0.726663i \(-0.258930\pi\)
0.993358 + 0.115065i \(0.0367076\pi\)
\(752\) −5.11413e10 9.01759e9i −0.159919 0.0281981i
\(753\) −1.34890e11 + 1.58694e11i −0.419566 + 0.493608i
\(754\) −2.30700e11 + 1.93581e11i −0.713778 + 0.598931i
\(755\) 4.00859e11i 1.23368i
\(756\)