Properties

Label 54.9.f.a.5.20
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 5.20
Character \(\chi\) \(=\) 54.5
Dual form 54.9.f.a.11.20

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(7.27231 + 8.66680i) q^{2} +(30.8906 - 74.8784i) q^{3} +(-22.2270 + 126.055i) q^{4} +(187.067 + 513.962i) q^{5} +(873.602 - 276.817i) q^{6} +(-775.415 - 4397.60i) q^{7} +(-1254.14 + 724.077i) q^{8} +(-4652.55 - 4626.07i) q^{9} +O(q^{10})\) \(q+(7.27231 + 8.66680i) q^{2} +(30.8906 - 74.8784i) q^{3} +(-22.2270 + 126.055i) q^{4} +(187.067 + 513.962i) q^{5} +(873.602 - 276.817i) q^{6} +(-775.415 - 4397.60i) q^{7} +(-1254.14 + 724.077i) q^{8} +(-4652.55 - 4626.07i) q^{9} +(-3094.00 + 5358.96i) q^{10} +(-1403.39 + 3855.78i) q^{11} +(8752.22 + 5558.24i) q^{12} +(-14818.3 - 12434.0i) q^{13} +(32474.0 - 38701.1i) q^{14} +(44263.2 + 1869.31i) q^{15} +(-15395.9 - 5603.66i) q^{16} +(89772.3 + 51830.0i) q^{17} +(6258.48 - 73964.9i) q^{18} +(-117491. - 203501. i) q^{19} +(-68945.6 + 12157.0i) q^{20} +(-353238. - 77782.4i) q^{21} +(-43623.1 + 15877.5i) q^{22} +(-139319. - 24565.7i) q^{23} +(15476.7 + 116275. i) q^{24} +(70073.2 - 58798.4i) q^{25} -218852. i q^{26} +(-490112. + 205473. i) q^{27} +571576. q^{28} +(-366403. - 436662. i) q^{29} +(305695. + 397215. i) q^{30} +(271967. - 1.54240e6i) q^{31} +(-63398.2 - 174185. i) q^{32} +(245363. + 224191. i) q^{33} +(203651. + 1.15496e6i) q^{34} +(2.11514e6 - 1.22118e6i) q^{35} +(686553. - 483655. i) q^{36} +(1.12829e6 - 1.95426e6i) q^{37} +(909268. - 2.49819e6i) q^{38} +(-1.38879e6 + 725477. i) q^{39} +(-606756. - 509129. i) q^{40} +(-3.31466e6 + 3.95026e6i) q^{41} +(-1.89473e6 - 3.62710e6i) q^{42} +(2.41971e6 + 880704. i) q^{43} +(-454848. - 262607. i) q^{44} +(1.50729e6 - 3.25662e6i) q^{45} +(-800264. - 1.38610e6i) q^{46} +(6.74662e6 - 1.18961e6i) q^{47} +(-895182. + 979722. i) q^{48} +(-1.33204e7 + 4.84825e6i) q^{49} +(1.01919e6 + 179710. i) q^{50} +(6.65406e6 - 5.12094e6i) q^{51} +(1.89674e6 - 1.59156e6i) q^{52} +9.71432e6i q^{53} +(-5.34505e6 - 2.75344e6i) q^{54} -2.24425e6 q^{55} +(4.15668e6 + 4.95374e6i) q^{56} +(-1.88672e7 + 2.51130e6i) q^{57} +(1.11987e6 - 6.35109e6i) q^{58} +(-2.73166e6 - 7.50518e6i) q^{59} +(-1.21947e6 + 5.53807e6i) q^{60} +(-374503. - 2.12391e6i) q^{61} +(1.53455e7 - 8.85975e6i) q^{62} +(-1.67359e7 + 2.40471e7i) q^{63} +(1.04858e6 - 1.81619e6i) q^{64} +(3.61861e6 - 9.94204e6i) q^{65} +(-158660. + 3.75690e6i) q^{66} +(8.75836e6 + 7.34913e6i) q^{67} +(-8.52882e6 + 1.01643e7i) q^{68} +(-6.14307e6 + 9.67312e6i) q^{69} +(2.59657e7 + 9.45074e6i) q^{70} +(5.23232e6 + 3.02088e6i) q^{71} +(9.18457e6 + 2.43293e6i) q^{72} +(1.90181e7 + 3.29404e7i) q^{73} +(2.51424e7 - 4.43329e6i) q^{74} +(-2.23813e6 - 7.06328e6i) q^{75} +(2.82638e7 - 1.02872e7i) q^{76} +(1.80444e7 + 3.18171e6i) q^{77} +(-1.63872e7 - 6.76045e6i) q^{78} +(-1.72779e7 + 1.44979e7i) q^{79} -8.96118e6i q^{80} +(245661. + 4.30460e7i) q^{81} -5.83413e7 q^{82} +(3.02233e6 + 3.60187e6i) q^{83} +(1.76563e7 - 4.27987e7i) q^{84} +(-9.84525e6 + 5.58352e7i) q^{85} +(9.96403e6 + 2.73759e7i) q^{86} +(-4.40150e7 + 1.39469e7i) q^{87} +(-1.03184e6 - 5.85184e6i) q^{88} +(-7.31545e6 + 4.22358e6i) q^{89} +(3.91859e7 - 1.06198e7i) q^{90} +(-4.31895e7 + 7.48065e7i) q^{91} +(6.19327e6 - 1.70159e7i) q^{92} +(-1.07091e8 - 6.80101e7i) q^{93} +(5.93736e7 + 4.98204e7i) q^{94} +(8.26129e7 - 9.84543e7i) q^{95} +(-1.50011e7 - 633520. i) q^{96} +(5.35437e7 + 1.94883e7i) q^{97} +(-1.38889e8 - 8.01878e7i) q^{98} +(2.43664e7 - 1.14470e7i) 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
\(3\) 30.8906 74.8784i 0.381365 0.924425i
\(4\) −22.2270 + 126.055i −0.0868241 + 0.492404i
\(5\) 187.067 + 513.962i 0.299307 + 0.822339i 0.994616 + 0.103628i \(0.0330453\pi\)
−0.695309 + 0.718711i \(0.744733\pi\)
\(6\) 873.602 276.817i 0.674076 0.213593i
\(7\) −775.415 4397.60i −0.322955 1.83157i −0.523672 0.851920i \(-0.675438\pi\)
0.200717 0.979649i \(-0.435673\pi\)
\(8\) −1254.14 + 724.077i −0.306186 + 0.176777i
\(9\) −4652.55 4626.07i −0.709122 0.705086i
\(10\) −3094.00 + 5358.96i −0.309400 + 0.535896i
\(11\) −1403.39 + 3855.78i −0.0958533 + 0.263355i −0.978348 0.206968i \(-0.933640\pi\)
0.882494 + 0.470323i \(0.155863\pi\)
\(12\) 8752.22 + 5558.24i 0.422079 + 0.268048i
\(13\) −14818.3 12434.0i −0.518830 0.435350i 0.345394 0.938458i \(-0.387745\pi\)
−0.864224 + 0.503108i \(0.832190\pi\)
\(14\) 32474.0 38701.1i 0.845326 1.00742i
\(15\) 44263.2 + 1869.31i 0.874336 + 0.0369246i
\(16\) −15395.9 5603.66i −0.234923 0.0855050i
\(17\) 89772.3 + 51830.0i 1.07485 + 0.620563i 0.929502 0.368818i \(-0.120237\pi\)
0.145345 + 0.989381i \(0.453571\pi\)
\(18\) 6258.48 73964.9i 0.0596182 0.704589i
\(19\) −117491. 203501.i −0.901552 1.56153i −0.825479 0.564432i \(-0.809095\pi\)
−0.0760730 0.997102i \(-0.524238\pi\)
\(20\) −68945.6 + 12157.0i −0.430910 + 0.0759811i
\(21\) −353238. 77782.4i −1.81631 0.399949i
\(22\) −43623.1 + 15877.5i −0.186220 + 0.0677785i
\(23\) −139319. 24565.7i −0.497850 0.0877844i −0.0809155 0.996721i \(-0.525784\pi\)
−0.416934 + 0.908937i \(0.636895\pi\)
\(24\) 15476.7 + 116275.i 0.0466480 + 0.350462i
\(25\) 70073.2 58798.4i 0.179387 0.150524i
\(26\) 218852.i 0.478912i
\(27\) −490112. + 205473.i −0.922233 + 0.386634i
\(28\) 571576. 0.929912
\(29\) −366403. 436662.i −0.518045 0.617382i 0.442073 0.896979i \(-0.354243\pi\)
−0.960117 + 0.279598i \(0.909799\pi\)
\(30\) 305695. + 397215.i 0.377401 + 0.490389i
\(31\) 271967. 1.54240e6i 0.294489 1.67013i −0.374781 0.927113i \(-0.622282\pi\)
0.669270 0.743019i \(-0.266607\pi\)
\(32\) −63398.2 174185.i −0.0604612 0.166116i
\(33\) 245363. + 224191.i 0.206896 + 0.189043i
\(34\) 203651. + 1.15496e6i 0.152395 + 0.864276i
\(35\) 2.11514e6 1.22118e6i 1.40951 0.813780i
\(36\) 686553. 483655.i 0.408756 0.287956i
\(37\) 1.12829e6 1.95426e6i 0.602025 1.04274i −0.390490 0.920607i \(-0.627694\pi\)
0.992514 0.122130i \(-0.0389724\pi\)
\(38\) 909268. 2.49819e6i 0.436071 1.19810i
\(39\) −1.38879e6 + 725477.i −0.600312 + 0.313592i
\(40\) −606756. 509129.i −0.237014 0.198878i
\(41\) −3.31466e6 + 3.95026e6i −1.17301 + 1.39794i −0.273040 + 0.962003i \(0.588029\pi\)
−0.899975 + 0.435942i \(0.856415\pi\)
\(42\) −1.89473e6 3.62710e6i −0.608906 1.16564i
\(43\) 2.41971e6 + 880704.i 0.707767 + 0.257606i 0.670723 0.741707i \(-0.265984\pi\)
0.0370436 + 0.999314i \(0.488206\pi\)
\(44\) −454848. 262607.i −0.121355 0.0700641i
\(45\) 1.50729e6 3.25662e6i 0.367575 0.794176i
\(46\) −800264. 1.38610e6i −0.178732 0.309573i
\(47\) 6.74662e6 1.18961e6i 1.38259 0.243789i 0.567622 0.823289i \(-0.307863\pi\)
0.814972 + 0.579500i \(0.196752\pi\)
\(48\) −895182. + 979722.i −0.168634 + 0.184560i
\(49\) −1.33204e7 + 4.84825e6i −2.31065 + 0.841009i
\(50\) 1.01919e6 + 179710.i 0.163070 + 0.0287537i
\(51\) 6.65406e6 5.12094e6i 0.983572 0.756954i
\(52\) 1.89674e6 1.59156e6i 0.259415 0.217675i
\(53\) 9.71432e6i 1.23114i 0.788080 + 0.615572i \(0.211075\pi\)
−0.788080 + 0.615572i \(0.788925\pi\)
\(54\) −5.34505e6 2.75344e6i −0.628603 0.323818i
\(55\) −2.24425e6 −0.245256
\(56\) 4.15668e6 + 4.95374e6i 0.422663 + 0.503710i
\(57\) −1.88672e7 + 2.51130e6i −1.78734 + 0.237903i
\(58\) 1.11987e6 6.35109e6i 0.0989589 0.561224i
\(59\) −2.73166e6 7.50518e6i −0.225434 0.619374i 0.774479 0.632600i \(-0.218012\pi\)
−0.999913 + 0.0132257i \(0.995790\pi\)
\(60\) −1.21947e6 + 5.53807e6i −0.0940952 + 0.427320i
\(61\) −374503. 2.12391e6i −0.0270480 0.153397i 0.968292 0.249819i \(-0.0803712\pi\)
−0.995341 + 0.0964223i \(0.969260\pi\)
\(62\) 1.53455e7 8.85975e6i 1.03852 0.599590i
\(63\) −1.67359e7 + 2.40471e7i −1.06240 + 1.52652i
\(64\) 1.04858e6 1.81619e6i 0.0625000 0.108253i
\(65\) 3.61861e6 9.94204e6i 0.202716 0.556958i
\(66\) −158660. + 3.75690e6i −0.00836163 + 0.197995i
\(67\) 8.75836e6 + 7.34913e6i 0.434634 + 0.364701i 0.833697 0.552223i \(-0.186220\pi\)
−0.399063 + 0.916923i \(0.630665\pi\)
\(68\) −8.52882e6 + 1.01643e7i −0.398890 + 0.475379i
\(69\) −6.14307e6 + 9.67312e6i −0.271012 + 0.426747i
\(70\) 2.59657e7 + 9.45074e6i 1.08145 + 0.393617i
\(71\) 5.23232e6 + 3.02088e6i 0.205902 + 0.118878i 0.599405 0.800446i \(-0.295404\pi\)
−0.393503 + 0.919323i \(0.628737\pi\)
\(72\) 9.18457e6 + 2.43293e6i 0.341766 + 0.0905315i
\(73\) 1.90181e7 + 3.29404e7i 0.669694 + 1.15994i 0.977990 + 0.208654i \(0.0669081\pi\)
−0.308296 + 0.951291i \(0.599759\pi\)
\(74\) 2.51424e7 4.43329e6i 0.838457 0.147843i
\(75\) −2.23813e6 7.06328e6i −0.0707359 0.223235i
\(76\) 2.82638e7 1.02872e7i 0.847182 0.308349i
\(77\) 1.80444e7 + 3.18171e6i 0.513309 + 0.0905102i
\(78\) −1.63872e7 6.76045e6i −0.442718 0.182640i
\(79\) −1.72779e7 + 1.44979e7i −0.443591 + 0.372217i −0.837051 0.547125i \(-0.815722\pi\)
0.393460 + 0.919342i \(0.371278\pi\)
\(80\) 8.96118e6i 0.218779i
\(81\) 245661. + 4.30460e7i 0.00570686 + 0.999984i
\(82\) −5.83413e7 −1.29039
\(83\) 3.02233e6 + 3.60187e6i 0.0636838 + 0.0758954i 0.796946 0.604051i \(-0.206448\pi\)
−0.733262 + 0.679946i \(0.762003\pi\)
\(84\) 1.76563e7 4.27987e7i 0.354636 0.859633i
\(85\) −9.84525e6 + 5.58352e7i −0.188604 + 1.06963i
\(86\) 9.96403e6 + 2.73759e7i 0.182155 + 0.500467i
\(87\) −4.40150e7 + 1.39469e7i −0.768287 + 0.243446i
\(88\) −1.03184e6 5.85184e6i −0.0172060 0.0975802i
\(89\) −7.31545e6 + 4.22358e6i −0.116595 + 0.0673164i −0.557164 0.830403i \(-0.688110\pi\)
0.440568 + 0.897719i \(0.354777\pi\)
\(90\) 3.91859e7 1.06198e7i 0.597255 0.161862i
\(91\) −4.31895e7 + 7.48065e7i −0.629815 + 1.09087i
\(92\) 6.19327e6 1.70159e7i 0.0864507 0.237521i
\(93\) −1.07091e8 6.80101e7i −1.43160 0.909163i
\(94\) 5.93736e7 + 4.98204e7i 0.760470 + 0.638110i
\(95\) 8.26129e7 9.84543e7i 1.01427 1.20876i
\(96\) −1.50011e7 633520.i −0.176619 0.00745891i
\(97\) 5.35437e7 + 1.94883e7i 0.604814 + 0.220134i 0.626233 0.779636i \(-0.284596\pi\)
−0.0214186 + 0.999771i \(0.506818\pi\)
\(98\) −1.38889e8 8.01878e7i −1.50579 0.869368i
\(99\) 2.43664e7 1.14470e7i 0.253659 0.119166i
\(100\) 5.85434e6 + 1.01400e7i 0.0585434 + 0.101400i
\(101\) −1.38889e7 + 2.44899e6i −0.133470 + 0.0235343i −0.239984 0.970777i \(-0.577142\pi\)
0.106514 + 0.994311i \(0.466031\pi\)
\(102\) 9.27726e7 + 2.04284e7i 0.857076 + 0.188727i
\(103\) −6.72075e6 + 2.44615e6i −0.0597130 + 0.0217338i −0.371704 0.928351i \(-0.621226\pi\)
0.311991 + 0.950085i \(0.399004\pi\)
\(104\) 2.75874e7 + 4.86441e6i 0.235818 + 0.0415811i
\(105\) −2.61019e7 1.96101e8i −0.214741 1.61333i
\(106\) −8.41921e7 + 7.06456e7i −0.666881 + 0.559579i
\(107\) 1.44822e7i 0.110484i −0.998473 0.0552419i \(-0.982407\pi\)
0.998473 0.0552419i \(-0.0175930\pi\)
\(108\) −1.50073e7 6.63484e7i −0.110308 0.487680i
\(109\) 1.00650e8 0.713030 0.356515 0.934290i \(-0.383965\pi\)
0.356515 + 0.934290i \(0.383965\pi\)
\(110\) −1.63209e7 1.94505e7i −0.111474 0.132849i
\(111\) −1.11478e8 1.44853e8i −0.734341 0.954190i
\(112\) −1.27044e7 + 7.20502e7i −0.0807388 + 0.457892i
\(113\) −5.75487e7 1.58114e8i −0.352957 0.969742i −0.981415 0.191898i \(-0.938536\pi\)
0.628458 0.777844i \(-0.283687\pi\)
\(114\) −1.58973e8 1.45255e8i −0.941247 0.860027i
\(115\) −1.34361e7 7.62000e7i −0.0768214 0.435676i
\(116\) 6.31877e7 3.64814e7i 0.348980 0.201484i
\(117\) 1.14221e7 + 1.26400e8i 0.0609542 + 0.674536i
\(118\) 4.51804e7 7.82548e7i 0.233036 0.403630i
\(119\) 1.58317e8 4.34972e8i 0.789477 2.16907i
\(120\) −5.68658e7 + 2.97056e7i −0.274237 + 0.143256i
\(121\) 1.51311e8 + 1.26965e8i 0.705877 + 0.592301i
\(122\) 1.56840e7 1.86915e7i 0.0707975 0.0843731i
\(123\) 1.93397e8 + 3.70222e8i 0.844948 + 1.61749i
\(124\) 1.88383e8 + 6.85659e7i 0.796811 + 0.290015i
\(125\) 2.28356e8 + 1.31841e8i 0.935345 + 0.540022i
\(126\) −3.30121e8 + 2.98313e7i −1.30976 + 0.118356i
\(127\) −5.77688e7 1.00059e8i −0.222064 0.384627i 0.733370 0.679829i \(-0.237946\pi\)
−0.955435 + 0.295203i \(0.904613\pi\)
\(128\) 2.33661e7 4.12008e6i 0.0870455 0.0153485i
\(129\) 1.40692e8 1.53979e8i 0.508055 0.556035i
\(130\) 1.12481e8 4.09399e7i 0.393829 0.143342i
\(131\) 2.23259e8 + 3.93666e7i 0.758095 + 0.133673i 0.539318 0.842102i \(-0.318682\pi\)
0.218777 + 0.975775i \(0.429793\pi\)
\(132\) −3.37141e7 + 2.59462e7i −0.111049 + 0.0854631i
\(133\) −8.03810e8 + 6.74476e8i −2.56890 + 2.15556i
\(134\) 1.29352e8i 0.401194i
\(135\) −1.97289e8 2.13462e8i −0.593975 0.642666i
\(136\) −1.50116e8 −0.438804
\(137\) −2.36828e8 2.82241e8i −0.672282 0.801194i 0.316811 0.948489i \(-0.397388\pi\)
−0.989093 + 0.147294i \(0.952944\pi\)
\(138\) −1.28509e8 + 1.71051e7i −0.354339 + 0.0471640i
\(139\) 3.49906e7 1.98442e8i 0.0937330 0.531586i −0.901395 0.432997i \(-0.857456\pi\)
0.995128 0.0985891i \(-0.0314329\pi\)
\(140\) 1.06923e8 + 2.93768e8i 0.278329 + 0.764703i
\(141\) 1.19331e8 5.41924e8i 0.301909 1.37108i
\(142\) 1.18697e7 + 6.73163e7i 0.0291934 + 0.165564i
\(143\) 6.87387e7 3.96863e7i 0.164383 0.0949066i
\(144\) 4.57073e7 + 9.72939e7i 0.106301 + 0.226275i
\(145\) 1.55886e8 2.70002e8i 0.352643 0.610795i
\(146\) −1.47182e8 + 4.04379e8i −0.323924 + 0.889974i
\(147\) −4.84472e7 + 1.14718e9i −0.103753 + 2.45675i
\(148\) 2.21266e8 + 1.85664e8i 0.461178 + 0.386974i
\(149\) −2.28680e8 + 2.72530e8i −0.463963 + 0.552930i −0.946398 0.323002i \(-0.895308\pi\)
0.482435 + 0.875932i \(0.339752\pi\)
\(150\) 4.49397e7 7.07638e7i 0.0887698 0.139780i
\(151\) 2.21820e8 + 8.07358e7i 0.426670 + 0.155295i 0.546425 0.837508i \(-0.315988\pi\)
−0.119754 + 0.992804i \(0.538211\pi\)
\(152\) 2.94701e8 + 1.70145e8i 0.552086 + 0.318747i
\(153\) −1.77900e8 6.56434e8i −0.324647 1.19791i
\(154\) 1.03649e8 + 1.79525e8i 0.184282 + 0.319185i
\(155\) 8.43612e8 1.48752e8i 1.46156 0.257712i
\(156\) −6.05817e7 1.91189e8i −0.102292 0.322823i
\(157\) 4.12962e8 1.50306e8i 0.679690 0.247387i 0.0209757 0.999780i \(-0.493323\pi\)
0.658715 + 0.752393i \(0.271101\pi\)
\(158\) −2.51301e8 4.43111e7i −0.403242 0.0711024i
\(159\) 7.27393e8 + 3.00081e8i 1.13810 + 0.469515i
\(160\) 7.76648e7 6.51685e7i 0.118507 0.0994392i
\(161\) 6.31716e8i 0.940197i
\(162\) −3.71285e8 + 3.15173e8i −0.539073 + 0.457603i
\(163\) −1.82731e8 −0.258858 −0.129429 0.991589i \(-0.541314\pi\)
−0.129429 + 0.991589i \(0.541314\pi\)
\(164\) −4.24276e8 5.05633e8i −0.586507 0.698972i
\(165\) −6.93261e7 + 1.68046e8i −0.0935322 + 0.226721i
\(166\) −9.23738e6 + 5.23878e7i −0.0121651 + 0.0689919i
\(167\) 1.02272e8 + 2.80989e8i 0.131489 + 0.361263i 0.987913 0.155010i \(-0.0495411\pi\)
−0.856424 + 0.516273i \(0.827319\pi\)
\(168\) 4.99330e8 1.58222e8i 0.626831 0.198623i
\(169\) −7.66732e7 4.34835e8i −0.0939933 0.533062i
\(170\) −5.55511e8 + 3.20724e8i −0.665115 + 0.384004i
\(171\) −3.94775e8 + 1.49032e9i −0.461706 + 1.74299i
\(172\) −1.64800e8 + 2.85443e8i −0.188297 + 0.326141i
\(173\) 2.89556e8 7.95549e8i 0.323258 0.888143i −0.666515 0.745491i \(-0.732215\pi\)
0.989773 0.142652i \(-0.0455628\pi\)
\(174\) −4.40966e8 2.80043e8i −0.481070 0.305511i
\(175\) −3.12907e8 2.62560e8i −0.333629 0.279948i
\(176\) 4.32129e7 5.14991e7i 0.0450363 0.0536722i
\(177\) −6.46358e8 2.72967e7i −0.658537 0.0278111i
\(178\) −8.98052e7 3.26864e7i −0.0894585 0.0325602i
\(179\) −1.66412e9 9.60781e8i −1.62096 0.935863i −0.986663 0.162777i \(-0.947955\pi\)
−0.634300 0.773087i \(-0.718712\pi\)
\(180\) 3.77012e8 + 2.62386e8i 0.359141 + 0.249949i
\(181\) −1.29079e8 2.23571e8i −0.120266 0.208306i 0.799607 0.600524i \(-0.205041\pi\)
−0.919872 + 0.392218i \(0.871708\pi\)
\(182\) −9.62421e8 + 1.69701e8i −0.877161 + 0.154667i
\(183\) −1.70604e8 3.75666e7i −0.152119 0.0334964i
\(184\) 1.92513e8 7.00688e7i 0.167953 0.0611299i
\(185\) 1.21548e9 + 2.14322e8i 1.03767 + 0.182970i
\(186\) −1.89372e8 1.42273e9i −0.158221 1.18870i
\(187\) −3.25830e8 + 2.73404e8i −0.266456 + 0.223583i
\(188\) 8.76889e8i 0.701962i
\(189\) 1.28363e9 + 1.99599e9i 1.00599 + 1.56427i
\(190\) 1.45407e9 1.11576
\(191\) 6.03614e8 + 7.19360e8i 0.453551 + 0.540521i 0.943562 0.331195i \(-0.107452\pi\)
−0.490011 + 0.871716i \(0.663007\pi\)
\(192\) −1.03602e8 1.34619e8i −0.0762366 0.0990605i
\(193\) 4.17008e8 2.36497e9i 0.300549 1.70450i −0.343202 0.939261i \(-0.611512\pi\)
0.643751 0.765235i \(-0.277377\pi\)
\(194\) 2.20485e8 + 6.05778e8i 0.155658 + 0.427668i
\(195\) −6.32663e8 5.78071e8i −0.437557 0.399800i
\(196\) −3.15074e8 1.78688e9i −0.213496 1.21079i
\(197\) 1.29146e9 7.45628e8i 0.857468 0.495059i −0.00569590 0.999984i \(-0.501813\pi\)
0.863163 + 0.504925i \(0.168480\pi\)
\(198\) 2.76409e8 + 1.27933e8i 0.179842 + 0.0832379i
\(199\) −3.80506e8 + 6.59056e8i −0.242633 + 0.420252i −0.961463 0.274933i \(-0.911344\pi\)
0.718831 + 0.695185i \(0.244678\pi\)
\(200\) −4.53069e7 + 1.24480e8i −0.0283168 + 0.0777998i
\(201\) 8.20842e8 4.28793e8i 0.502893 0.262702i
\(202\) −1.22229e8 1.02563e8i −0.0734126 0.0616005i
\(203\) −1.63615e9 + 1.94989e9i −0.963472 + 1.14822i
\(204\) 4.97623e8 + 9.52604e8i 0.287329 + 0.550037i
\(205\) −2.65034e9 9.64647e8i −1.50068 0.546201i
\(206\) −7.00758e7 4.04583e7i −0.0389134 0.0224666i
\(207\) 5.34545e8 + 7.58791e8i 0.291141 + 0.413277i
\(208\) 1.58465e8 + 2.74470e8i 0.0846606 + 0.146636i
\(209\) 9.49539e8 1.67429e8i 0.497654 0.0877499i
\(210\) 1.50975e9 1.65233e9i 0.776297 0.849610i
\(211\) 2.31751e9 8.43506e8i 1.16921 0.425558i 0.316831 0.948482i \(-0.397381\pi\)
0.852379 + 0.522924i \(0.175159\pi\)
\(212\) −1.22454e9 2.15920e8i −0.606220 0.106893i
\(213\) 3.87828e8 2.98471e8i 0.188417 0.145005i
\(214\) 1.25514e8 1.05319e8i 0.0598463 0.0502170i
\(215\) 1.40839e9i 0.659128i
\(216\) 4.65891e8 6.12571e8i 0.214027 0.281411i
\(217\) −6.99375e9 −3.15407
\(218\) 7.31958e8 + 8.72314e8i 0.324086 + 0.386231i
\(219\) 3.05400e9 4.06501e8i 1.32768 0.176720i
\(220\) 4.98829e7 2.82900e8i 0.0212942 0.120765i
\(221\) −6.85816e8 1.88426e9i −0.287501 0.789901i
\(222\) 4.44707e8 2.01957e9i 0.183089 0.831472i
\(223\) −2.24459e8 1.27297e9i −0.0907649 0.514753i −0.995963 0.0897637i \(-0.971389\pi\)
0.905198 0.424990i \(-0.139722\pi\)
\(224\) −7.16836e8 + 4.13865e8i −0.284726 + 0.164387i
\(225\) −5.98024e8 5.06013e7i −0.233340 0.0197438i
\(226\) 9.51829e8 1.64862e9i 0.364859 0.631955i
\(227\) −1.79178e8 + 4.92288e8i −0.0674811 + 0.185403i −0.968849 0.247650i \(-0.920342\pi\)
0.901368 + 0.433053i \(0.142564\pi\)
\(228\) 1.02797e8 2.43413e9i 0.0380401 0.900749i
\(229\) −3.80334e8 3.19139e8i −0.138301 0.116048i 0.571013 0.820941i \(-0.306551\pi\)
−0.709314 + 0.704893i \(0.750995\pi\)
\(230\) 5.62699e8 6.70598e8i 0.201078 0.239635i
\(231\) 7.95641e8 1.25285e9i 0.279428 0.439998i
\(232\) 7.75698e8 + 2.82331e8i 0.267757 + 0.0974555i
\(233\) −1.96042e9 1.13185e9i −0.665158 0.384029i 0.129082 0.991634i \(-0.458797\pi\)
−0.794239 + 0.607605i \(0.792130\pi\)
\(234\) −1.01242e9 + 1.01822e9i −0.337675 + 0.339607i
\(235\) 1.87348e9 + 3.24497e9i 0.614297 + 1.06399i
\(236\) 1.00679e9 1.77523e8i 0.324555 0.0572279i
\(237\) 5.51854e8 + 1.74159e9i 0.174917 + 0.552017i
\(238\) 4.92115e9 1.79115e9i 1.53376 0.558244i
\(239\) −5.65186e9 9.96575e8i −1.73221 0.305435i −0.783453 0.621451i \(-0.786543\pi\)
−0.948754 + 0.316016i \(0.897655\pi\)
\(240\) −6.70999e8 2.76816e8i −0.202244 0.0834346i
\(241\) 3.35116e9 2.81196e9i 0.993408 0.833568i 0.00735037 0.999973i \(-0.497660\pi\)
0.986058 + 0.166405i \(0.0532158\pi\)
\(242\) 2.23471e9i 0.651568i
\(243\) 3.23081e9 + 1.31132e9i 0.926586 + 0.376083i
\(244\) 2.76054e8 0.0778817
\(245\) −4.98363e9 5.93926e9i −1.38319 1.64842i
\(246\) −1.80220e9 + 4.36851e9i −0.492109 + 1.19287i
\(247\) −7.89315e8 + 4.47643e9i −0.212062 + 1.20266i
\(248\) 7.75734e8 + 2.13131e9i 0.205072 + 0.563430i
\(249\) 3.63063e8 1.15043e8i 0.0944463 0.0299270i
\(250\) 5.18032e8 + 2.93791e9i 0.132616 + 0.752104i
\(251\) 1.32733e9 7.66332e8i 0.334413 0.193073i −0.323386 0.946267i \(-0.604821\pi\)
0.657798 + 0.753194i \(0.271488\pi\)
\(252\) −2.65928e9 2.64415e9i −0.659421 0.655668i
\(253\) 2.90238e8 5.02707e8i 0.0708390 0.122697i
\(254\) 4.47075e8 1.22833e9i 0.107410 0.295107i
\(255\) 3.87673e9 + 2.46198e9i 0.916863 + 0.582269i
\(256\) 2.05633e8 + 1.72547e8i 0.0478778 + 0.0401742i
\(257\) −2.21844e9 + 2.64383e9i −0.508527 + 0.606039i −0.957828 0.287341i \(-0.907229\pi\)
0.449301 + 0.893381i \(0.351673\pi\)
\(258\) 2.35766e9 + 9.95678e7i 0.532111 + 0.0224719i
\(259\) −9.46893e9 3.44641e9i −2.10427 0.765892i
\(260\) 1.17282e9 + 6.77126e8i 0.256647 + 0.148175i
\(261\) −3.15323e8 + 3.72660e9i −0.0679506 + 0.803065i
\(262\) 1.28243e9 + 2.22123e9i 0.272162 + 0.471398i
\(263\) 1.02595e9 1.80903e8i 0.214439 0.0378114i −0.0653964 0.997859i \(-0.520831\pi\)
0.279836 + 0.960048i \(0.409720\pi\)
\(264\) −4.70050e8 1.03504e8i −0.0967673 0.0213080i
\(265\) −4.99279e9 + 1.81723e9i −1.01242 + 0.368490i
\(266\) −1.16911e10 2.06146e9i −2.33523 0.411764i
\(267\) 9.02764e7 + 6.78238e8i 0.0177635 + 0.133456i
\(268\) −1.12107e9 + 9.40689e8i −0.217317 + 0.182350i
\(269\) 9.62236e9i 1.83769i 0.394618 + 0.918845i \(0.370877\pi\)
−0.394618 + 0.918845i \(0.629123\pi\)
\(270\) 4.15284e8 3.26223e9i 0.0781429 0.613846i
\(271\) 8.58528e9 1.59176 0.795880 0.605455i \(-0.207009\pi\)
0.795880 + 0.605455i \(0.207009\pi\)
\(272\) −1.09169e9 1.30102e9i −0.199445 0.237689i
\(273\) 4.26724e9 + 5.54478e9i 0.768239 + 0.998237i
\(274\) 7.23838e8 4.10509e9i 0.128422 0.728317i
\(275\) 1.28374e8 + 3.52703e8i 0.0224463 + 0.0616707i
\(276\) −1.08281e9 9.89372e8i −0.186601 0.170499i
\(277\) 6.55062e8 + 3.71504e9i 0.111266 + 0.631023i 0.988531 + 0.151016i \(0.0482545\pi\)
−0.877265 + 0.480006i \(0.840634\pi\)
\(278\) 1.97432e9 1.13987e9i 0.330551 0.190844i
\(279\) −8.40060e9 + 5.91796e9i −1.38642 + 0.976687i
\(280\) −1.76846e9 + 3.06305e9i −0.287715 + 0.498336i
\(281\) 3.15354e9 8.66429e9i 0.505794 1.38966i −0.379744 0.925091i \(-0.623988\pi\)
0.885538 0.464566i \(-0.153790\pi\)
\(282\) 5.56456e9 2.90682e9i 0.879902 0.459645i
\(283\) 1.42610e9 + 1.19664e9i 0.222332 + 0.186559i 0.747150 0.664656i \(-0.231422\pi\)
−0.524817 + 0.851215i \(0.675866\pi\)
\(284\) −4.97097e8 + 5.92417e8i −0.0764131 + 0.0910655i
\(285\) −4.82014e9 9.22723e9i −0.730600 1.39859i
\(286\) 8.43843e8 + 3.07134e8i 0.126124 + 0.0459053i
\(287\) 1.99419e10 + 1.15134e10i 2.93926 + 1.69698i
\(288\) −5.10829e8 + 1.10369e9i −0.0742516 + 0.160427i
\(289\) 1.88483e9 + 3.26462e9i 0.270197 + 0.467994i
\(290\) 3.47371e9 6.12509e8i 0.491136 0.0866005i
\(291\) 3.11325e9 3.40726e9i 0.434152 0.475153i
\(292\) −4.57503e9 + 1.66517e9i −0.629307 + 0.229049i
\(293\) 7.09871e9 + 1.25169e9i 0.963183 + 0.169835i 0.633060 0.774103i \(-0.281799\pi\)
0.330123 + 0.943938i \(0.392910\pi\)
\(294\) −1.02947e10 + 7.92276e9i −1.37792 + 1.06044i
\(295\) 3.34637e9 2.80794e9i 0.441862 0.370766i
\(296\) 3.26788e9i 0.425696i
\(297\) −1.04441e8 2.17812e9i −0.0134229 0.279935i
\(298\) −4.02500e9 −0.510388
\(299\) 1.75902e9 + 2.09632e9i 0.220083 + 0.262284i
\(300\) 9.40112e8 1.25133e8i 0.116063 0.0154485i
\(301\) 1.99670e9 1.13238e10i 0.243246 1.37952i
\(302\) 9.13421e8 + 2.50960e9i 0.109810 + 0.301701i
\(303\) −2.45660e8 + 1.11563e9i −0.0291450 + 0.132358i
\(304\) 6.68537e8 + 3.79146e9i 0.0782765 + 0.443928i
\(305\) 1.02155e9 5.89793e8i 0.118049 0.0681554i
\(306\) 4.39544e9 6.31562e9i 0.501322 0.720328i
\(307\) −2.91794e9 + 5.05402e9i −0.328491 + 0.568962i −0.982213 0.187772i \(-0.939873\pi\)
0.653722 + 0.756735i \(0.273207\pi\)
\(308\) −8.02143e8 + 2.20387e9i −0.0891351 + 0.244897i
\(309\) −2.44437e7 + 5.78802e8i −0.00268123 + 0.0634887i
\(310\) 7.42421e9 + 6.22965e9i 0.803903 + 0.674555i
\(311\) −7.82473e8 + 9.32515e8i −0.0836426 + 0.0996814i −0.806243 0.591585i \(-0.798502\pi\)
0.722600 + 0.691266i \(0.242947\pi\)
\(312\) 1.21643e9 1.91544e9i 0.128371 0.202139i
\(313\) −9.24559e9 3.36512e9i −0.963291 0.350609i −0.187969 0.982175i \(-0.560190\pi\)
−0.775322 + 0.631566i \(0.782413\pi\)
\(314\) 4.30586e9 + 2.48599e9i 0.442936 + 0.255729i
\(315\) −1.54901e10 4.10321e9i −1.57330 0.416756i
\(316\) −1.44350e9 2.50022e9i −0.144767 0.250743i
\(317\) 8.06192e9 1.42153e9i 0.798365 0.140773i 0.240439 0.970664i \(-0.422709\pi\)
0.557926 + 0.829891i \(0.311597\pi\)
\(318\) 2.68909e9 + 8.48645e9i 0.262964 + 0.829885i
\(319\) 2.19788e9 7.99962e8i 0.212247 0.0772515i
\(320\) 1.12960e9 + 1.99180e8i 0.107728 + 0.0189953i
\(321\) −1.08440e9 4.47362e8i −0.102134 0.0421346i
\(322\) −5.47496e9 + 4.59404e9i −0.509281 + 0.427338i
\(323\) 2.43583e10i 2.23788i
\(324\) −5.43164e9 9.25816e8i −0.492891 0.0840126i
\(325\) −1.76947e9 −0.158602
\(326\) −1.32887e9 1.58369e9i −0.117656 0.140217i
\(327\) 3.10913e9 7.53651e9i 0.271925 0.659142i
\(328\) 1.29675e9 7.35424e9i 0.112037 0.635393i
\(329\) −1.04629e10 2.87465e10i −0.893032 2.45358i
\(330\) −1.96058e9 + 6.21246e8i −0.165321 + 0.0523851i
\(331\) −2.68734e9 1.52407e10i −0.223877 1.26967i −0.864820 0.502083i \(-0.832567\pi\)
0.640942 0.767589i \(-0.278544\pi\)
\(332\) −5.21212e8 + 3.00922e8i −0.0429005 + 0.0247686i
\(333\) −1.42900e10 + 3.87272e9i −1.16213 + 0.314948i
\(334\) −1.69153e9 + 2.92981e9i −0.135923 + 0.235425i
\(335\) −2.13878e9 + 5.87624e9i −0.169819 + 0.466574i
\(336\) 5.00256e9 + 3.17696e9i 0.392496 + 0.249261i
\(337\) 9.85509e9 + 8.26940e9i 0.764084 + 0.641142i 0.939186 0.343408i \(-0.111581\pi\)
−0.175103 + 0.984550i \(0.556026\pi\)
\(338\) 3.21104e9 3.82677e9i 0.246025 0.293201i
\(339\) −1.36170e10 5.75069e8i −1.03106 0.0435433i
\(340\) −6.81950e9 2.48209e9i −0.510313 0.185739i
\(341\) 5.56548e9 + 3.21323e9i 0.411610 + 0.237643i
\(342\) −1.57872e10 + 7.41663e9i −1.15399 + 0.542128i
\(343\) 1.87783e10 + 3.25250e10i 1.35669 + 2.34986i
\(344\) −3.67236e9 + 6.47535e8i −0.262247 + 0.0462413i
\(345\) −6.12078e9 1.34779e9i −0.432047 0.0951359i
\(346\) 9.00062e9 3.27596e9i 0.628012 0.228578i
\(347\) 5.95662e8 + 1.05031e8i 0.0410849 + 0.00724437i 0.194153 0.980971i \(-0.437804\pi\)
−0.153068 + 0.988216i \(0.548915\pi\)
\(348\) −7.79767e8 5.85832e9i −0.0531677 0.399444i
\(349\) 1.42674e10 1.19718e10i 0.961709 0.806970i −0.0195209 0.999809i \(-0.506214\pi\)
0.981230 + 0.192839i \(0.0617696\pi\)
\(350\) 4.62133e9i 0.307960i
\(351\) 9.81750e9 + 3.04931e9i 0.646804 + 0.200897i
\(352\) 7.60591e8 0.0495428
\(353\) −1.40018e10 1.66867e10i −0.901747 1.07466i −0.996859 0.0791934i \(-0.974766\pi\)
0.0951125 0.995467i \(-0.469679\pi\)
\(354\) −4.46394e9 5.80037e9i −0.284253 0.369354i
\(355\) −5.73824e8 + 3.25432e9i −0.0361298 + 0.204902i
\(356\) −3.69805e8 1.01603e9i −0.0230236 0.0632567i
\(357\) −2.76795e10 2.52910e10i −1.70406 1.55702i
\(358\) −3.77511e9 2.14097e10i −0.229825 1.30340i
\(359\) 1.26537e9 7.30559e8i 0.0761795 0.0439823i −0.461426 0.887178i \(-0.652662\pi\)
0.537606 + 0.843196i \(0.319329\pi\)
\(360\) 4.67695e8 + 5.17564e9i 0.0278454 + 0.308144i
\(361\) −1.91166e10 + 3.31109e10i −1.12559 + 1.94958i
\(362\) 9.98946e8 2.74458e9i 0.0581712 0.159824i
\(363\) 1.41810e10 7.40790e9i 0.816734 0.426647i
\(364\) −8.46979e9 7.10699e9i −0.482466 0.404837i
\(365\) −1.33724e10 + 1.59367e10i −0.753423 + 0.897895i
\(366\) −9.15100e8 1.75178e9i −0.0509969 0.0976239i
\(367\) −1.83108e10 6.66458e9i −1.00935 0.367374i −0.216168 0.976356i \(-0.569356\pi\)
−0.793184 + 0.608982i \(0.791578\pi\)
\(368\) 2.00728e9 + 1.15891e9i 0.109450 + 0.0631912i
\(369\) 3.36958e10 3.04491e9i 1.81748 0.164236i
\(370\) 6.98186e9 + 1.20929e10i 0.372533 + 0.645246i
\(371\) 4.27197e10 7.53263e9i 2.25493 0.397604i
\(372\) 1.09534e10 1.19878e10i 0.571973 0.625990i
\(373\) 2.22272e10 8.09003e9i 1.14828 0.417941i 0.303385 0.952868i \(-0.401883\pi\)
0.844898 + 0.534927i \(0.179661\pi\)
\(374\) −4.73908e9 8.35628e8i −0.242219 0.0427097i
\(375\) 1.69261e10 1.30263e10i 0.855918 0.658711i
\(376\) −7.59983e9 + 6.37701e9i −0.380235 + 0.319055i
\(377\) 1.10265e10i 0.545847i
\(378\) −7.96390e9 + 2.56404e10i −0.390084 + 1.25591i
\(379\) 1.99960e10 0.969141 0.484570 0.874752i \(-0.338976\pi\)
0.484570 + 0.874752i \(0.338976\pi\)
\(380\) 1.05745e10 + 1.26021e10i 0.507135 + 0.604380i
\(381\) −9.27673e9 + 1.23477e9i −0.440246 + 0.0585986i
\(382\) −1.84488e9 + 1.04628e10i −0.0866391 + 0.491355i
\(383\) 8.87781e9 + 2.43916e10i 0.412582 + 1.13356i 0.955813 + 0.293977i \(0.0949788\pi\)
−0.543230 + 0.839584i \(0.682799\pi\)
\(384\) 4.13288e8 1.87689e9i 0.0190076 0.0863204i
\(385\) 1.74023e9 + 9.86931e9i 0.0792068 + 0.449204i
\(386\) 2.35293e10 1.35847e10i 1.05989 0.611927i
\(387\) −7.18364e9 1.52913e10i −0.320258 0.681711i
\(388\) −3.64672e9 + 6.31631e9i −0.160907 + 0.278700i
\(389\) −9.48835e8 + 2.60690e9i −0.0414374 + 0.113848i −0.958686 0.284468i \(-0.908183\pi\)
0.917248 + 0.398316i \(0.130405\pi\)
\(390\) 4.09101e8 9.68708e9i 0.0176836 0.418730i
\(391\) −1.12337e10 9.42621e9i −0.480636 0.403302i
\(392\) 1.31952e10 1.57254e10i 0.558819 0.665975i
\(393\) 9.84430e9 1.55012e10i 0.412681 0.649824i
\(394\) 1.58541e10 + 5.77044e9i 0.657897 + 0.239455i
\(395\) −1.06835e10 6.16812e9i −0.438859 0.253375i
\(396\) 9.01366e8 + 3.32595e9i 0.0366539 + 0.135249i
\(397\) −6.95581e8 1.20478e9i −0.0280018 0.0485005i 0.851685 0.524054i \(-0.175581\pi\)
−0.879687 + 0.475554i \(0.842248\pi\)
\(398\) −8.47907e9 + 1.49509e9i −0.337921 + 0.0595847i
\(399\) 2.56736e10 + 8.10229e10i 1.01297 + 3.19681i
\(400\) −1.40833e9 + 5.12589e8i −0.0550128 + 0.0200230i
\(401\) −3.51801e10 6.20321e9i −1.36057 0.239905i −0.554724 0.832034i \(-0.687176\pi\)
−0.805843 + 0.592129i \(0.798287\pi\)
\(402\) 9.68568e9 + 3.99576e9i 0.370874 + 0.153001i
\(403\) −2.32084e10 + 1.94741e10i −0.879882 + 0.738309i
\(404\) 1.80521e9i 0.0677644i
\(405\) −2.20781e10 + 8.17874e9i −0.820618 + 0.303995i
\(406\) −2.87979e10 −1.05988
\(407\) 5.95175e9 + 7.09302e9i 0.216904 + 0.258496i
\(408\) −4.63716e9 + 1.12404e10i −0.167345 + 0.405641i
\(409\) 2.12549e9 1.20543e10i 0.0759567 0.430772i −0.922987 0.384830i \(-0.874260\pi\)
0.998944 0.0459416i \(-0.0146288\pi\)
\(410\) −1.09137e10 2.99852e10i −0.386223 1.06114i
\(411\) −2.84495e10 + 9.01474e9i −0.997029 + 0.315927i
\(412\) −1.58969e8 9.01558e8i −0.00551726 0.0312899i
\(413\) −3.08866e10 + 1.78324e10i −1.06162 + 0.612928i
\(414\) −2.68892e9 + 1.01510e10i −0.0915328 + 0.345546i
\(415\) −1.28585e9 + 2.22715e9i −0.0433507 + 0.0750857i
\(416\) −1.22637e9 + 3.36942e9i −0.0409494 + 0.112508i
\(417\) −1.37781e10 8.75002e9i −0.455665 0.289378i
\(418\) 8.35642e9 + 7.01187e9i 0.273725 + 0.229683i
\(419\) −3.59351e10 + 4.28257e10i −1.16590 + 1.38947i −0.260200 + 0.965555i \(0.583789\pi\)
−0.905702 + 0.423914i \(0.860656\pi\)
\(420\) 2.52998e10 + 1.06845e9i 0.813055 + 0.0343366i
\(421\) 5.55688e10 + 2.02254e10i 1.76890 + 0.643826i 0.999990 + 0.00446628i \(0.00142167\pi\)
0.768908 + 0.639360i \(0.220801\pi\)
\(422\) 2.41642e10 + 1.39512e10i 0.761943 + 0.439908i
\(423\) −3.68922e10 2.56756e10i −1.15232 0.801972i
\(424\) −7.03392e9 1.21831e10i −0.217638 0.376960i
\(425\) 9.33815e9 1.64657e9i 0.286223 0.0504689i
\(426\) 5.40719e9 + 1.19065e9i 0.164185 + 0.0361533i
\(427\) −9.04970e9 + 3.29382e9i −0.272222 + 0.0990806i
\(428\) 1.82555e9 + 3.21894e8i 0.0544026 + 0.00959265i
\(429\) −8.48270e8 6.37297e9i −0.0250441 0.188154i
\(430\) −1.22063e10 + 1.02423e10i −0.357033 + 0.299586i
\(431\) 3.32089e10i 0.962377i 0.876617 + 0.481188i \(0.159795\pi\)
−0.876617 + 0.481188i \(0.840205\pi\)
\(432\) 8.69714e9 4.17029e8i 0.249713 0.0119738i
\(433\) 2.26292e10 0.643750 0.321875 0.946782i \(-0.395687\pi\)
0.321875 + 0.946782i \(0.395687\pi\)
\(434\) −5.08607e10 6.06135e10i −1.43359 1.70848i
\(435\) −1.54019e10 2.00130e10i −0.430148 0.558927i
\(436\) −2.23714e9 + 1.26875e10i −0.0619082 + 0.351099i
\(437\) 1.13696e10 + 3.12377e10i 0.311759 + 0.856552i
\(438\) 2.57327e10 + 2.35122e10i 0.699181 + 0.638848i
\(439\) −3.62286e9 2.05462e10i −0.0975423 0.553190i −0.993939 0.109936i \(-0.964935\pi\)
0.896396 0.443253i \(-0.146176\pi\)
\(440\) 2.81460e9 1.62501e9i 0.0750942 0.0433556i
\(441\) 8.44023e10 + 3.90646e10i 2.23152 + 1.03283i
\(442\) 1.13431e10 1.96468e10i 0.297195 0.514757i
\(443\) 3.18743e9 8.75739e9i 0.0827610 0.227384i −0.891409 0.453200i \(-0.850282\pi\)
0.974170 + 0.225816i \(0.0725047\pi\)
\(444\) 2.07373e10 1.08328e10i 0.533605 0.278746i
\(445\) −3.53924e9 2.96977e9i −0.0902547 0.0757327i
\(446\) 9.40026e9 1.12028e10i 0.237575 0.283131i
\(447\) 1.33426e10 + 2.55418e10i 0.334202 + 0.639767i
\(448\) −8.79994e9 3.20292e9i −0.218458 0.0795121i
\(449\) 1.15933e10 + 6.69341e9i 0.285248 + 0.164688i 0.635797 0.771856i \(-0.280672\pi\)
−0.350549 + 0.936544i \(0.614005\pi\)
\(450\) −3.91047e9 5.55095e9i −0.0953627 0.135368i
\(451\) −1.05796e10 1.83243e10i −0.255718 0.442916i
\(452\) 2.12102e10 3.73994e9i 0.508150 0.0896005i
\(453\) 1.28975e10 1.41155e10i 0.306276 0.335200i
\(454\) −5.56961e9 + 2.02717e9i −0.131099 + 0.0477163i
\(455\) −4.65270e10 8.20397e9i −1.08557 0.191416i
\(456\) 2.18437e10 1.68108e10i 0.505204 0.388803i
\(457\) −4.61233e10 + 3.87020e10i −1.05744 + 0.887296i −0.993856 0.110680i \(-0.964697\pi\)
−0.0635826 + 0.997977i \(0.520253\pi\)
\(458\) 5.61716e9i 0.127660i
\(459\) −5.46482e10 6.95675e9i −1.23119 0.156731i
\(460\) 9.90406e9 0.221198
\(461\) −3.30535e10 3.93916e10i −0.731836 0.872168i 0.263888 0.964553i \(-0.414995\pi\)
−0.995723 + 0.0923857i \(0.970551\pi\)
\(462\) 1.66443e10 2.21543e9i 0.365341 0.0486285i
\(463\) 7.44793e9 4.22393e10i 0.162073 0.919163i −0.789958 0.613161i \(-0.789898\pi\)
0.952031 0.306002i \(-0.0989913\pi\)
\(464\) 3.19421e9 + 8.77602e9i 0.0689115 + 0.189333i
\(465\) 1.49214e10 6.77634e10i 0.319152 1.44938i
\(466\) −4.44726e9 2.52217e10i −0.0943081 0.534848i
\(467\) −1.83204e10 + 1.05773e10i −0.385184 + 0.222386i −0.680071 0.733146i \(-0.738051\pi\)
0.294887 + 0.955532i \(0.404718\pi\)
\(468\) −1.61873e10 1.36968e9i −0.337436 0.0285519i
\(469\) 2.55272e10 4.42143e10i 0.527608 0.913843i
\(470\) −1.44990e10 + 3.98355e10i −0.297129 + 0.816356i
\(471\) 1.50196e9 3.55649e10i 0.0305194 0.722667i
\(472\) 8.86022e9 + 7.43460e9i 0.178516 + 0.149792i
\(473\) −6.79160e9 + 8.09391e9i −0.135684 + 0.161701i
\(474\) −1.10808e10 + 1.74482e10i −0.219511 + 0.345651i
\(475\) −2.01985e10 7.35165e9i −0.396775 0.144414i
\(476\) 5.13117e10 + 2.96248e10i 0.999513 + 0.577069i
\(477\) 4.49392e10 4.51963e10i 0.868063 0.873031i
\(478\) −3.24650e10 5.62310e10i −0.621875 1.07712i
\(479\) −2.39841e10 + 4.22904e9i −0.455598 + 0.0803341i −0.396738 0.917932i \(-0.629858\pi\)
−0.0588601 + 0.998266i \(0.518747\pi\)
\(480\) −2.48060e9 7.82850e9i −0.0467296 0.147473i
\(481\) −4.10187e10 + 1.49296e10i −0.766304 + 0.278912i
\(482\) 4.87414e10 + 8.59443e9i 0.903046 + 0.159231i
\(483\) 4.73019e10 + 1.95141e10i 0.869141 + 0.358558i
\(484\) −1.93678e10 + 1.62515e10i −0.352938 + 0.296150i
\(485\) 3.11651e10i 0.563250i
\(486\) 1.21305e10 + 3.75371e10i 0.217436 + 0.672846i
\(487\) 2.63816e9 0.0469014 0.0234507 0.999725i \(-0.492535\pi\)
0.0234507 + 0.999725i \(0.492535\pi\)
\(488\) 2.00755e9 + 2.39251e9i 0.0353987 + 0.0421866i
\(489\) −5.64465e9 + 1.36826e10i −0.0987192 + 0.239294i
\(490\) 1.52319e10 8.63843e10i 0.264222 1.49848i
\(491\) 2.38970e10 + 6.56564e10i 0.411165 + 1.12967i 0.956572 + 0.291496i \(0.0941531\pi\)
−0.545406 + 0.838172i \(0.683625\pi\)
\(492\) −5.09671e10 + 1.61498e10i −0.869820 + 0.275618i
\(493\) −1.02606e10 5.81909e10i −0.173694 0.985070i
\(494\) −4.45364e10 + 2.57131e10i −0.747838 + 0.431765i
\(495\) 1.04415e10 + 1.03821e10i 0.173917 + 0.172927i
\(496\) −1.28303e10 + 2.22227e10i −0.211987 + 0.367173i
\(497\) 9.22740e9 2.53521e10i 0.151235 0.415516i
\(498\) 3.63737e9 + 2.30997e9i 0.0591384 + 0.0375568i
\(499\) 5.55057e10 + 4.65748e10i 0.895232 + 0.751189i 0.969253 0.246068i \(-0.0791386\pi\)
−0.0740204 + 0.997257i \(0.523583\pi\)
\(500\) −2.16950e10 + 2.58551e10i −0.347119 + 0.413681i
\(501\) 2.41992e10 + 1.02197e9i 0.384106 + 0.0162214i
\(502\) 1.62944e10 + 5.93067e9i 0.256580 + 0.0933875i
\(503\) −9.77733e10 5.64495e10i −1.52739 0.881836i −0.999470 0.0325387i \(-0.989641\pi\)
−0.527915 0.849297i \(-0.677026\pi\)
\(504\) 3.57719e9 4.22766e10i 0.0554396 0.655206i
\(505\) −3.85684e9 6.68025e9i −0.0593016 0.102713i
\(506\) 6.46756e9 1.14041e9i 0.0986594 0.0173963i
\(507\) −3.49282e10 7.69114e9i −0.528622 0.116402i
\(508\) 1.38969e10 5.05807e9i 0.208672 0.0759504i
\(509\) 6.78014e10 + 1.19552e10i 1.01011 + 0.178109i 0.654127 0.756385i \(-0.273036\pi\)
0.355980 + 0.934494i \(0.384147\pi\)
\(510\) 6.85528e9 + 5.15031e10i 0.101331 + 0.761294i
\(511\) 1.30112e11 1.09177e11i 1.90824 1.60120i
\(512\) 3.03700e9i 0.0441942i
\(513\) 9.93979e10 + 7.55969e10i 1.43518 + 1.09153i
\(514\) −3.90467e10 −0.559412
\(515\) −2.51446e9 2.99662e9i −0.0357451 0.0425993i
\(516\) 1.62827e10 + 2.11575e10i 0.229683 + 0.298446i
\(517\) −4.88125e9 + 2.76829e10i −0.0683233 + 0.387481i
\(518\) −3.89917e10 1.07129e11i −0.541568 1.48794i
\(519\) −5.06249e10 4.62565e10i −0.697742 0.637534i
\(520\) 2.66057e9 + 1.50889e10i 0.0363883 + 0.206368i
\(521\) −7.65721e10 + 4.42089e10i −1.03925 + 0.600011i −0.919621 0.392808i \(-0.871504\pi\)
−0.119629 + 0.992819i \(0.538170\pi\)
\(522\) −3.45908e10 + 2.43681e10i −0.465885 + 0.328201i
\(523\) 4.45812e10 7.72169e10i 0.595861 1.03206i −0.397564 0.917575i \(-0.630144\pi\)
0.993425 0.114487i \(-0.0365224\pi\)
\(524\) −9.92474e9 + 2.72680e10i −0.131642 + 0.361683i
\(525\) −2.93260e10 + 1.53194e10i −0.386025 + 0.201652i
\(526\) 9.02889e9 + 7.57614e9i 0.117948 + 0.0989703i
\(527\) 1.04358e11 1.24369e11i 1.35295 1.61239i
\(528\) −2.52130e9 4.82655e9i −0.0324406 0.0621014i
\(529\) −5.47820e10 1.99390e10i −0.699544 0.254613i
\(530\) −5.20587e10 3.00561e10i −0.659766 0.380916i
\(531\) −2.20103e10 + 4.75551e10i −0.276852 + 0.598162i
\(532\) −6.71551e10 1.16316e11i −0.838364 1.45209i
\(533\) 9.82353e10 1.73215e10i 1.21719 0.214624i
\(534\) −5.22164e9 + 5.71477e9i −0.0642158 + 0.0702803i
\(535\) 7.44328e9 2.70913e9i 0.0908551 0.0330685i
\(536\) −1.63055e10 2.87511e9i −0.197549 0.0348333i
\(537\) −1.23347e11 + 9.49277e10i −1.48331 + 1.14155i
\(538\) −8.33951e10 + 6.99768e10i −0.995431 + 0.835266i
\(539\) 5.81646e10i 0.689135i
\(540\) 3.12932e10 2.01248e10i 0.368023 0.236677i
\(541\) −5.98821e10 −0.699050 −0.349525 0.936927i \(-0.613657\pi\)
−0.349525 + 0.936927i \(0.613657\pi\)
\(542\) 6.24348e10 + 7.44069e10i 0.723485 + 0.862216i
\(543\) −2.07280e10 + 2.75898e9i −0.238428 + 0.0317358i
\(544\) 3.33662e9 1.89229e10i 0.0380988 0.216069i
\(545\) 1.88283e10 + 5.17303e10i 0.213415 + 0.586352i
\(546\) −1.70228e10 + 7.73067e10i −0.191540 + 0.869854i
\(547\) −2.43016e9 1.37821e10i −0.0271448 0.153946i 0.968223 0.250090i \(-0.0804601\pi\)
−0.995367 + 0.0961441i \(0.969349\pi\)
\(548\) 4.08420e10 2.35801e10i 0.452882 0.261471i
\(549\) −8.08297e9 + 1.16141e10i −0.0889777 + 0.127848i
\(550\) −2.12324e9 + 3.67756e9i −0.0232032 + 0.0401891i
\(551\) −4.58120e10 + 1.25867e11i −0.497018 + 1.36555i
\(552\) 7.00178e8 1.65795e10i 0.00754141 0.178573i
\(553\) 7.71534e10 + 6.47394e10i 0.825001 + 0.692258i
\(554\) −2.74337e10 + 3.26943e10i −0.291237 + 0.347082i
\(555\) 5.35949e10 8.43927e10i 0.564874 0.889473i
\(556\) 2.42369e10 + 8.82152e9i 0.253617 + 0.0923090i
\(557\) 8.60416e9 + 4.96761e9i 0.0893897 + 0.0516092i 0.544029 0.839067i \(-0.316898\pi\)
−0.454639 + 0.890676i \(0.650232\pi\)
\(558\) −1.12382e11 2.97691e10i −1.15920 0.307064i
\(559\) −2.49054e10 4.31374e10i −0.255062 0.441780i
\(560\) −3.94077e10 + 6.94863e9i −0.400708 + 0.0706557i
\(561\) 1.04070e10 + 3.28433e10i 0.105069 + 0.331585i
\(562\) 9.80253e10 3.56783e10i 0.982636 0.357650i
\(563\) 1.23181e11 + 2.17201e10i 1.22605 + 0.216186i 0.748930 0.662649i \(-0.230568\pi\)
0.477125 + 0.878836i \(0.341679\pi\)
\(564\) 6.56601e10 + 2.70876e10i 0.648911 + 0.267704i
\(565\) 7.04991e10 5.91557e10i 0.691814 0.580501i
\(566\) 2.10620e10i 0.205227i
\(567\) 1.89109e11 3.44588e10i 1.82970 0.333402i
\(568\) −8.74940e9 −0.0840592
\(569\) −3.69250e10 4.40055e10i −0.352267 0.419815i 0.560591 0.828093i \(-0.310574\pi\)
−0.912858 + 0.408277i \(0.866130\pi\)
\(570\) 4.49171e10 1.08878e11i 0.425512 1.03144i
\(571\) −9.70275e8 + 5.50271e9i −0.00912747 + 0.0517645i −0.989031 0.147706i \(-0.952811\pi\)
0.979904 + 0.199470i \(0.0639222\pi\)
\(572\) 3.47482e9 + 9.54699e9i 0.0324600 + 0.0891830i
\(573\) 7.25105e10 2.29763e10i 0.672639 0.213138i
\(574\) 4.52387e10 + 2.56562e11i 0.416738 + 2.36344i
\(575\) −1.12069e10 + 6.47033e9i −0.102522 + 0.0591909i
\(576\) −1.32804e10 + 3.59911e9i −0.120648 + 0.0326968i
\(577\) −6.94546e10 + 1.20299e11i −0.626610 + 1.08532i 0.361617 + 0.932327i \(0.382225\pi\)
−0.988227 + 0.152994i \(0.951108\pi\)
\(578\) −1.45867e10 + 4.00767e10i −0.130691 + 0.359071i
\(579\) −1.64203e11 1.04280e11i −1.46106 0.927870i
\(580\) 3.05704e10 + 2.56516e10i 0.270140 + 0.226674i
\(581\) 1.34960e10 1.60839e10i 0.118441 0.141152i
\(582\) 5.21706e10 + 2.20325e9i 0.454709 + 0.0192031i
\(583\) −3.74563e10 1.36330e10i −0.324228 0.118009i
\(584\) −4.77028e10 2.75412e10i −0.410102 0.236773i
\(585\) −6.28283e10 + 2.95159e10i −0.536453 + 0.252018i
\(586\) 4.07758e10 + 7.06258e10i 0.345790 + 0.598926i
\(587\) −5.91204e10 + 1.04245e10i −0.497949 + 0.0878019i −0.416982 0.908915i \(-0.636912\pi\)
−0.0809676 + 0.996717i \(0.525801\pi\)
\(588\) −1.43531e11 3.16053e10i −1.20071 0.264394i
\(589\) −3.45834e11 + 1.25873e11i −2.87347 + 1.04586i
\(590\) 4.86718e10 + 8.58214e9i 0.401670 + 0.0708252i
\(591\) −1.59373e10 1.19736e11i −0.130637 0.981462i
\(592\) −2.83221e10 + 2.37650e10i −0.230589 + 0.193487i
\(593\) 1.18478e11i 0.958117i −0.877783 0.479058i \(-0.840978\pi\)
0.877783 0.479058i \(-0.159022\pi\)
\(594\) 1.81178e10 1.67452e10i 0.145533 0.134507i
\(595\) 2.53175e11 2.02001
\(596\) −2.92711e10 3.48839e10i −0.231982 0.276465i
\(597\) 3.75950e10 + 4.88503e10i 0.295960 + 0.384565i
\(598\) −5.37623e9 + 3.04901e10i −0.0420410 + 0.238426i
\(599\) 5.17275e10 + 1.42120e11i 0.401804 + 1.10395i 0.961393 + 0.275178i \(0.0887367\pi\)
−0.559589 + 0.828770i \(0.689041\pi\)
\(600\) 7.92129e9 + 7.23776e9i 0.0611210 + 0.0558469i
\(601\) 3.48933e10 + 1.97890e11i 0.267451 + 1.51679i 0.761964 + 0.647620i \(0.224236\pi\)
−0.494512 + 0.869171i \(0.664653\pi\)
\(602\) 1.12662e11 6.50455e10i 0.857812 0.495258i
\(603\) −6.75105e9 7.47090e10i −0.0510625 0.565071i
\(604\) −1.51076e10 + 2.61671e10i −0.113513 + 0.196611i
\(605\) −3.69499e10 + 1.01519e11i −0.275798 + 0.757750i
\(606\) −1.14555e10 + 5.98413e9i −0.0849420 + 0.0443721i
\(607\) −1.81601e11 1.52381e11i −1.33771 1.12248i −0.982207 0.187801i \(-0.939864\pi\)
−0.355507 0.934674i \(-0.615692\pi\)
\(608\) −2.79980e10 + 3.33668e10i −0.204887 + 0.244174i
\(609\) 9.54629e10 + 1.82745e11i 0.694009 + 1.32855i
\(610\) 1.25407e10 + 4.56443e9i 0.0905735 + 0.0329661i
\(611\) −1.14765e11 6.62597e10i −0.823465 0.475428i
\(612\) 8.67013e10 7.83473e9i 0.618045 0.0558494i
\(613\) 2.53376e10 + 4.38861e10i 0.179442 + 0.310803i 0.941690 0.336483i \(-0.109237\pi\)
−0.762248 + 0.647286i \(0.775904\pi\)
\(614\) −6.50224e10 + 1.14652e10i −0.457498 + 0.0806693i
\(615\) −1.54102e11 + 1.68655e11i −1.07723 + 1.17896i
\(616\) −2.49339e10 + 9.07521e9i −0.173168 + 0.0630280i
\(617\) −6.52087e9 1.14980e9i −0.0449950 0.00793384i 0.151105 0.988518i \(-0.451717\pi\)
−0.196100 + 0.980584i \(0.562828\pi\)
\(618\) −5.19413e9 + 3.99738e9i −0.0356089 + 0.0274045i
\(619\) 1.08800e10 9.12943e9i 0.0741084 0.0621844i −0.604981 0.796240i \(-0.706819\pi\)
0.679089 + 0.734056i \(0.262375\pi\)
\(620\) 1.09648e11i 0.742053i
\(621\) 7.33295e10 1.65864e10i 0.493074 0.111528i
\(622\) −1.37723e10 −0.0920121
\(623\) 2.42461e10 + 2.88954e10i 0.160950 + 0.191812i
\(624\) 2.54470e10 3.38710e9i 0.167841 0.0223403i
\(625\) −1.88388e10 + 1.06840e11i −0.123462 + 0.700188i
\(626\) −3.80720e10 1.04602e11i −0.247918 0.681149i
\(627\) 1.67950e10 7.62719e10i 0.108670 0.493509i
\(628\) 9.76796e9 + 5.53969e10i 0.0628008 + 0.356161i
\(629\) 2.02578e11 1.16959e11i 1.29417 0.747188i
\(630\) −7.70868e10 1.64089e11i −0.489348 1.04164i
\(631\) −2.33984e10 + 4.05272e10i −0.147594 + 0.255640i −0.930338 0.366704i \(-0.880486\pi\)
0.782744 + 0.622344i \(0.213820\pi\)
\(632\) 1.11713e10 3.06929e10i 0.0700222 0.192384i
\(633\) 8.42892e9 1.99588e11i 0.0524997 1.24314i
\(634\) 7.09489e10 + 5.95332e10i 0.439126 + 0.368470i
\(635\) 4.06197e10 4.84086e10i 0.249828 0.297734i
\(636\) −5.39946e10 + 8.50219e10i −0.330006 + 0.519640i
\(637\) 2.57670e11 + 9.37841e10i 1.56497 + 0.569602i
\(638\) 2.29168e10 + 1.32310e10i 0.138315 + 0.0798565i
\(639\) −1.03688e10 3.82599e10i −0.0621906 0.229477i
\(640\) 6.48859e9 + 1.12386e10i 0.0386750 + 0.0669870i
\(641\) 2.62489e11 4.62839e10i 1.55482 0.274156i 0.670810 0.741629i \(-0.265947\pi\)
0.884007 + 0.467473i \(0.154835\pi\)
\(642\) −4.00890e9 1.26516e10i −0.0235986 0.0744744i
\(643\) −2.59456e11 + 9.44343e10i −1.51782 + 0.552441i −0.960602 0.277926i \(-0.910353\pi\)
−0.557217 + 0.830367i \(0.688131\pi\)
\(644\) −7.96313e10 1.40411e10i −0.462956 0.0816317i
\(645\) 1.05458e11 + 4.35060e10i 0.609314 + 0.251368i
\(646\) 2.11109e11 1.77141e11i 1.21220 1.01716i
\(647\) 2.64839e11i 1.51135i −0.654949 0.755673i \(-0.727310\pi\)
0.654949 0.755673i \(-0.272690\pi\)
\(648\) −3.14767e10 5.38078e10i −0.178521 0.305172i
\(649\) 3.27719e10 0.184724
\(650\) −1.28681e10 1.53356e10i −0.0720878 0.0859108i
\(651\) −2.16041e11 + 5.23681e11i −1.20285 + 2.91570i
\(652\) 4.06155e9 2.30342e10i 0.0224751 0.127462i
\(653\) 4.17773e9 + 1.14782e10i 0.0229767 + 0.0631280i 0.950651 0.310263i \(-0.100417\pi\)
−0.927674 + 0.373391i \(0.878195\pi\)
\(654\) 8.79280e10 2.78616e10i 0.480636 0.152298i
\(655\) 2.15314e10 + 1.22111e11i 0.116979 + 0.663420i
\(656\) 7.31681e10 4.22436e10i 0.395100 0.228111i
\(657\) 6.39017e10 2.41236e11i 0.342966 1.29473i
\(658\) 1.73051e11 2.99733e11i 0.923145 1.59893i
\(659\) 8.75157e10 2.40447e11i 0.464028 1.27491i −0.458403 0.888745i \(-0.651578\pi\)
0.922431 0.386162i \(-0.126200\pi\)
\(660\) −1.96422e10 1.24741e10i −0.103518 0.0657405i
\(661\) 1.54679e11 + 1.29791e11i 0.810262 + 0.679891i 0.950670 0.310203i \(-0.100397\pi\)
−0.140408 + 0.990094i \(0.544841\pi\)
\(662\) 1.12545e11 1.34125e11i 0.585993 0.698359i
\(663\) −1.62276e11 6.85317e9i −0.839847 0.0354681i
\(664\) −6.39845e9 2.32884e9i −0.0329156 0.0119803i
\(665\) −4.97021e11 2.86955e11i −2.54149 1.46733i
\(666\) −1.37485e11 9.56846e10i −0.698810 0.486346i
\(667\) 4.03200e10 + 6.98362e10i 0.203712 + 0.352840i
\(668\) −3.76934e10 + 6.64636e9i −0.189304 + 0.0333793i
\(669\) −1.02252e11 2.25157e10i −0.510465 0.112404i
\(670\) −6.64821e10 + 2.41975e10i −0.329918 + 0.120080i
\(671\) 8.71489e9 + 1.53667e9i 0.0429905 + 0.00758038i
\(672\) 8.84611e9 + 6.64600e10i 0.0433786 + 0.325899i
\(673\) 4.31162e10 3.61788e10i 0.210174 0.176357i −0.531623 0.846981i \(-0.678418\pi\)
0.741798 + 0.670624i \(0.233973\pi\)
\(674\) 1.45550e11i 0.705297i
\(675\) −2.22622e10 + 4.32160e10i −0.107239 + 0.208175i
\(676\) 5.65175e10 0.270643
\(677\) −2.86897e10 3.41911e10i −0.136575 0.162764i 0.693422 0.720532i \(-0.256102\pi\)
−0.829997 + 0.557768i \(0.811658\pi\)
\(678\) −9.40432e10 1.22198e11i −0.445050 0.578290i
\(679\) 4.41832e10 2.50575e11i 0.207863 1.17885i
\(680\) −2.80817e10 7.71538e10i −0.131337 0.360846i
\(681\) 3.13268e10 + 2.86236e10i 0.145656 + 0.133087i
\(682\) 1.26255e10 + 7.16026e10i 0.0583593 + 0.330972i
\(683\) 6.58181e10 3.80001e10i 0.302456 0.174623i −0.341089 0.940031i \(-0.610796\pi\)
0.643546 + 0.765408i \(0.277463\pi\)
\(684\) −1.79088e11 8.28889e10i −0.818168 0.378679i
\(685\) 1.00758e11 1.74519e11i 0.457635 0.792647i
\(686\) −1.45326e11 + 3.99280e11i −0.656217 + 1.80294i
\(687\) −3.56453e10 + 1.86205e10i −0.160021 + 0.0835918i
\(688\) −3.23186e10 2.71185e10i −0.144244 0.121035i
\(689\) 1.20788e11 1.43950e11i 0.535979 0.638755i
\(690\) −3.28312e10 6.28491e10i −0.144841 0.277270i
\(691\) −1.55480e10 5.65901e9i −0.0681965 0.0248215i 0.307697 0.951485i \(-0.400442\pi\)
−0.375893 + 0.926663i \(0.622664\pi\)
\(692\) 9.38473e10 + 5.41828e10i 0.409258 + 0.236285i
\(693\) −6.92334e10 9.82775e10i −0.300181 0.426110i
\(694\) 3.42155e9 + 5.92630e9i 0.0147498 + 0.0255474i
\(695\) 1.08537e11 1.91380e10i 0.465199 0.0820272i
\(696\) 4.51022e10 4.93616e10i 0.192203 0.210355i
\(697\) −5.02306e11 + 1.82825e11i −2.12832 + 0.774646i
\(698\) 2.07514e11 + 3.65904e10i 0.874231 + 0.154151i
\(699\) −1.45309e11 + 1.11829e11i −0.608674 + 0.468433i
\(700\) 4.00521e10 3.36077e10i 0.166814 0.139974i
\(701\) 1.93876e10i 0.0802881i −0.999194 0.0401441i \(-0.987218\pi\)
0.999194 0.0401441i \(-0.0127817\pi\)
\(702\) 4.49681e10 + 1.07262e11i 0.185164 + 0.441669i
\(703\) −5.30257e11 −2.17103
\(704\) 5.53125e9 + 6.59189e9i 0.0225182 + 0.0268361i
\(705\) 3.00851e11 4.00445e10i 1.21785 0.162101i
\(706\) 4.27948e10 2.42701e11i 0.172255 0.976908i
\(707\) 2.15394e10 + 5.91789e10i 0.0862095 + 0.236859i
\(708\) 1.78075e10 8.08702e10i 0.0708712 0.321852i
\(709\) −3.95597e10 2.24354e11i −0.156555 0.887869i −0.957350 0.288930i \(-0.906700\pi\)
0.800795 0.598939i \(-0.204411\pi\)
\(710\) −3.23776e10 + 1.86932e10i −0.127412 + 0.0735614i
\(711\) 1.47455e11 + 1.24767e10i 0.577005 + 0.0488228i
\(712\) 6.11640e9 1.05939e10i 0.0237999 0.0412227i
\(713\) −7.57803e10 + 2.08205e11i −0.293223 + 0.805624i
\(714\) 1.78985e10 4.23817e11i 0.0688689 1.63074i
\(715\) 3.32560e10 + 2.79051e10i 0.127246 + 0.106772i
\(716\) 1.58100e11 1.88416e11i 0.601561 0.716913i
\(717\) −2.49211e11 + 3.92417e11i −0.942954 + 1.48481i
\(718\) 1.55337e10 + 5.65382e9i 0.0584492 + 0.0212738i
\(719\) 4.26363e11 + 2.46161e11i 1.59538 + 0.921092i 0.992362 + 0.123363i \(0.0393679\pi\)
0.603016 + 0.797729i \(0.293965\pi\)
\(720\) −4.14550e10 + 4.16923e10i −0.154258 + 0.155141i
\(721\) 1.59686e10 + 2.76584e10i 0.0590915 + 0.102350i
\(722\) −4.25987e11 + 7.51131e10i −1.56765 + 0.276418i
\(723\) −1.07036e11 3.37793e11i −0.391720 1.23622i
\(724\) 3.10514e10 1.13018e10i 0.113013 0.0411332i
\(725\) −5.13501e10 9.05440e9i −0.185861 0.0327724i
\(726\) 1.67332e11 + 6.90315e10i 0.602326 + 0.248485i
\(727\) −2.62089e10 + 2.19919e10i −0.0938233 + 0.0787271i −0.688493 0.725243i \(-0.741727\pi\)
0.594670 + 0.803970i \(0.297283\pi\)
\(728\) 1.25090e11i 0.445346i
\(729\) 1.97991e11 2.01410e11i 0.701028 0.713134i
\(730\) −2.35368e11 −0.828813
\(731\) 1.71576e11 + 2.04477e11i 0.600880 + 0.716101i
\(732\) 8.52747e9 2.06705e10i 0.0297013 0.0719957i
\(733\) −4.60198e10 + 2.60992e11i −0.159415 + 0.904088i 0.795223 + 0.606318i \(0.207354\pi\)
−0.954638 + 0.297770i \(0.903757\pi\)
\(734\) −7.54012e10 2.07163e11i −0.259773 0.713720i
\(735\) −5.98669e11 + 1.89699e11i −2.05134 + 0.650004i
\(736\) 4.55358e9 + 2.58247e10i 0.0155182 + 0.0880082i
\(737\) −4.06280e10 + 2.34566e10i −0.137707 + 0.0795050i
\(738\) 2.71436e11 + 2.69891e11i 0.915043 + 0.909836i
\(739\) 5.01162e10 8.68039e10i 0.168035 0.291046i −0.769694 0.638413i \(-0.779591\pi\)
0.937729 + 0.347368i \(0.112924\pi\)
\(740\) −5.40329e10 + 1.48454e11i −0.180190 + 0.495068i
\(741\) 3.10805e11 + 1.97382e11i 1.03090 + 0.654688i
\(742\) 3.75955e11 + 3.15463e11i 1.24028 + 1.04072i
\(743\) −9.10204e10 + 1.08474e11i −0.298664 + 0.355934i −0.894417 0.447233i \(-0.852409\pi\)
0.595753 + 0.803168i \(0.296854\pi\)
\(744\) 1.83552e11 + 7.75170e9i 0.599056 + 0.0252991i
\(745\) −1.82849e11 6.65515e10i −0.593563 0.216039i
\(746\) 2.31758e11 + 1.33805e11i 0.748306 + 0.432034i
\(747\) 2.60098e9 3.07393e10i 0.00835324 0.0987216i
\(748\) −2.72218e10 4.71496e10i −0.0869583 0.150616i
\(749\) −6.36867e10 + 1.12297e10i −0.202359 + 0.0356813i
\(750\) 2.35988e11 + 5.19642e10i 0.745839 + 0.164232i
\(751\) 8.08239e10 2.94175e10i 0.254086 0.0924796i −0.211837 0.977305i \(-0.567945\pi\)
0.465923 + 0.884825i \(0.345722\pi\)
\(752\) −1.10537e11 1.94906e10i −0.345649 0.0609472i
\(753\) −1.63799e10 1.23060e11i −0.0509484 0.382771i
\(754\) −9.55642e10 + 8.01879e10i −0.295672 + 0.248098i
\(755\) 1.29110e11i 0.397349i
\(756\)