Properties

Label 43.11.d.a.37.28
Level 43
Weight 11
Character 43.37
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 11 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(27.3203618650\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 37.28
Character \(\chi\) \(=\) 43.37
Dual form 43.11.d.a.7.9

$q$-expansion

\(f(q)\) \(=\) \(q+41.2809i q^{2} +(-198.317 - 114.498i) q^{3} -680.116 q^{4} +(422.628 + 244.004i) q^{5} +(4726.60 - 8186.71i) q^{6} +(5421.13 - 3129.89i) q^{7} +14195.8i q^{8} +(-3304.75 - 5723.99i) q^{9} +O(q^{10})\) \(q+41.2809i q^{2} +(-198.317 - 114.498i) q^{3} -680.116 q^{4} +(422.628 + 244.004i) q^{5} +(4726.60 - 8186.71i) q^{6} +(5421.13 - 3129.89i) q^{7} +14195.8i q^{8} +(-3304.75 - 5723.99i) q^{9} +(-10072.7 + 17446.5i) q^{10} +124127. q^{11} +(134879. + 77872.2i) q^{12} +(255217. + 442048. i) q^{13} +(129205. + 223789. i) q^{14} +(-55876.2 - 96780.4i) q^{15} -1.28246e6 q^{16} +(587147. + 1.01697e6i) q^{17} +(236292. - 136423. i) q^{18} +(-2.76163e6 - 1.59443e6i) q^{19} +(-287436. - 165951. i) q^{20} -1.43347e6 q^{21} +5.12409e6i q^{22} +(-4.59649e6 + 7.96135e6i) q^{23} +(1.62540e6 - 2.81528e6i) q^{24} +(-4.76374e6 - 8.25103e6i) q^{25} +(-1.82482e7 + 1.05356e7i) q^{26} +1.50356e7i q^{27} +(-3.68700e6 + 2.12869e6i) q^{28} +(-5.50562e6 + 3.17867e6i) q^{29} +(3.99519e6 - 2.30662e6i) q^{30} +(2.72329e7 - 4.71687e7i) q^{31} -3.84045e7i q^{32} +(-2.46165e7 - 1.42124e7i) q^{33} +(-4.19814e7 + 2.42380e7i) q^{34} +3.05483e6 q^{35} +(2.24761e6 + 3.89298e6i) q^{36} +(-2.51606e7 - 1.45265e7i) q^{37} +(6.58196e7 - 1.14003e8i) q^{38} -1.16888e8i q^{39} +(-3.46385e6 + 5.99956e6i) q^{40} -1.18223e8 q^{41} -5.91750e7i q^{42} +(7.06308e7 + 1.28929e8i) q^{43} -8.44209e7 q^{44} -3.22549e6i q^{45} +(-3.28652e8 - 1.89747e8i) q^{46} -1.76246e8 q^{47} +(2.54333e8 + 1.46839e8i) q^{48} +(-1.21645e8 + 2.10696e8i) q^{49} +(3.40610e8 - 1.96652e8i) q^{50} -2.68909e8i q^{51} +(-1.73577e8 - 3.00644e8i) q^{52} +(-3.34672e8 + 5.79669e8i) q^{53} -6.20683e8 q^{54} +(5.24596e7 + 3.02876e7i) q^{55} +(4.44314e7 + 7.69575e7i) q^{56} +(3.65119e8 + 6.32405e8i) q^{57} +(-1.31219e8 - 2.27277e8i) q^{58} -9.34391e8 q^{59} +(3.80023e7 + 6.58219e7i) q^{60} +(-7.82016e8 + 4.51497e8i) q^{61} +(1.94717e9 + 1.12420e9i) q^{62} +(-3.58309e7 - 2.06870e7i) q^{63} +2.72137e8 q^{64} +2.49096e8i q^{65} +(5.86700e8 - 1.01619e9i) q^{66} +(-6.25098e8 + 1.08270e9i) q^{67} +(-3.99328e8 - 6.91656e8i) q^{68} +(1.82312e9 - 1.05258e9i) q^{69} +1.26106e8i q^{70} +(5.58578e8 - 3.22495e8i) q^{71} +(8.12568e7 - 4.69137e7i) q^{72} +(1.34157e9 - 7.74554e8i) q^{73} +(5.99667e8 - 1.03865e9i) q^{74} +2.18176e9i q^{75} +(1.87823e9 + 1.08440e9i) q^{76} +(6.72909e8 - 3.88504e8i) q^{77} +4.82523e9 q^{78} +(-3.38946e8 - 5.87072e8i) q^{79} +(-5.42002e8 - 3.12925e8i) q^{80} +(1.52641e9 - 2.64382e9i) q^{81} -4.88036e9i q^{82} +(-1.70880e9 + 2.95974e9i) q^{83} +9.74926e8 q^{84} +5.73065e8i q^{85} +(-5.32232e9 + 2.91571e9i) q^{86} +1.45581e9 q^{87} +1.76209e9i q^{88} +(3.99883e9 + 2.30873e9i) q^{89} +1.33151e8 q^{90} +(2.76712e9 + 1.59760e9i) q^{91} +(3.12615e9 - 5.41464e9i) q^{92} +(-1.08015e10 + 6.23624e9i) q^{93} -7.27559e9i q^{94} +(-7.78096e8 - 1.34770e9i) q^{95} +(-4.39725e9 + 7.61626e9i) q^{96} -4.35620e9 q^{97} +(-8.69772e9 - 5.02163e9i) q^{98} +(-4.10209e8 - 7.10502e8i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 41.2809i 1.29003i 0.764170 + 0.645015i \(0.223149\pi\)
−0.764170 + 0.645015i \(0.776851\pi\)
\(3\) −198.317 114.498i −0.816119 0.471187i 0.0329571 0.999457i \(-0.489508\pi\)
−0.849076 + 0.528270i \(0.822841\pi\)
\(4\) −680.116 −0.664176
\(5\) 422.628 + 244.004i 0.135241 + 0.0780814i 0.566094 0.824341i \(-0.308454\pi\)
−0.430853 + 0.902422i \(0.641787\pi\)
\(6\) 4726.60 8186.71i 0.607845 1.05282i
\(7\) 5421.13 3129.89i 0.322552 0.186225i −0.329978 0.943989i \(-0.607041\pi\)
0.652529 + 0.757763i \(0.273708\pi\)
\(8\) 14195.8i 0.433223i
\(9\) −3304.75 5723.99i −0.0559662 0.0969362i
\(10\) −10072.7 + 17446.5i −0.100727 + 0.174465i
\(11\) 124127. 0.770732 0.385366 0.922764i \(-0.374075\pi\)
0.385366 + 0.922764i \(0.374075\pi\)
\(12\) 134879. + 77872.2i 0.542047 + 0.312951i
\(13\) 255217. + 442048.i 0.687373 + 1.19056i 0.972685 + 0.232130i \(0.0745694\pi\)
−0.285312 + 0.958435i \(0.592097\pi\)
\(14\) 129205. + 223789.i 0.240236 + 0.416101i
\(15\) −55876.2 96780.4i −0.0735818 0.127447i
\(16\) −1.28246e6 −1.22305
\(17\) 587147. + 1.01697e6i 0.413525 + 0.716246i 0.995272 0.0971231i \(-0.0309641\pi\)
−0.581747 + 0.813370i \(0.697631\pi\)
\(18\) 236292. 136423.i 0.125051 0.0721980i
\(19\) −2.76163e6 1.59443e6i −1.11532 0.643928i −0.175115 0.984548i \(-0.556030\pi\)
−0.940201 + 0.340620i \(0.889363\pi\)
\(20\) −287436. 165951.i −0.0898238 0.0518598i
\(21\) −1.43347e6 −0.350988
\(22\) 5.12409e6i 0.994267i
\(23\) −4.59649e6 + 7.96135e6i −0.714146 + 1.23694i 0.249142 + 0.968467i \(0.419851\pi\)
−0.963288 + 0.268470i \(0.913482\pi\)
\(24\) 1.62540e6 2.81528e6i 0.204129 0.353562i
\(25\) −4.76374e6 8.25103e6i −0.487807 0.844906i
\(26\) −1.82482e7 + 1.05356e7i −1.53586 + 0.886731i
\(27\) 1.50356e7i 1.04786i
\(28\) −3.68700e6 + 2.12869e6i −0.214231 + 0.123686i
\(29\) −5.50562e6 + 3.17867e6i −0.268421 + 0.154973i −0.628170 0.778076i \(-0.716196\pi\)
0.359749 + 0.933049i \(0.382862\pi\)
\(30\) 3.99519e6 2.30662e6i 0.164411 0.0949227i
\(31\) 2.72329e7 4.71687e7i 0.951229 1.64758i 0.208459 0.978031i \(-0.433155\pi\)
0.742770 0.669547i \(-0.233512\pi\)
\(32\) 3.84045e7i 1.14454i
\(33\) −2.46165e7 1.42124e7i −0.629009 0.363159i
\(34\) −4.19814e7 + 2.42380e7i −0.923979 + 0.533460i
\(35\) 3.05483e6 0.0581630
\(36\) 2.24761e6 + 3.89298e6i 0.0371714 + 0.0643827i
\(37\) −2.51606e7 1.45265e7i −0.362838 0.209484i 0.307487 0.951552i \(-0.400512\pi\)
−0.670325 + 0.742068i \(0.733845\pi\)
\(38\) 6.58196e7 1.14003e8i 0.830686 1.43879i
\(39\) 1.16888e8i 1.29552i
\(40\) −3.46385e6 + 5.99956e6i −0.0338266 + 0.0585895i
\(41\) −1.18223e8 −1.02043 −0.510214 0.860047i \(-0.670434\pi\)
−0.510214 + 0.860047i \(0.670434\pi\)
\(42\) 5.91750e7i 0.452785i
\(43\) 7.06308e7 + 1.28929e8i 0.480454 + 0.877020i
\(44\) −8.44209e7 −0.511902
\(45\) 3.22549e6i 0.0174797i
\(46\) −3.28652e8 1.89747e8i −1.59569 0.921269i
\(47\) −1.76246e8 −0.768474 −0.384237 0.923234i \(-0.625536\pi\)
−0.384237 + 0.923234i \(0.625536\pi\)
\(48\) 2.54333e8 + 1.46839e8i 0.998152 + 0.576283i
\(49\) −1.21645e8 + 2.10696e8i −0.430640 + 0.745891i
\(50\) 3.40610e8 1.96652e8i 1.08995 0.629285i
\(51\) 2.68909e8i 0.779390i
\(52\) −1.73577e8 3.00644e8i −0.456536 0.790744i
\(53\) −3.34672e8 + 5.79669e8i −0.800276 + 1.38612i 0.119158 + 0.992875i \(0.461981\pi\)
−0.919434 + 0.393244i \(0.871353\pi\)
\(54\) −6.20683e8 −1.35176
\(55\) 5.24596e7 + 3.02876e7i 0.104235 + 0.0601798i
\(56\) 4.44314e7 + 7.69575e7i 0.0806771 + 0.139737i
\(57\) 3.65119e8 + 6.32405e8i 0.606821 + 1.05104i
\(58\) −1.31219e8 2.27277e8i −0.199920 0.346271i
\(59\) −9.34391e8 −1.30698 −0.653489 0.756936i \(-0.726696\pi\)
−0.653489 + 0.756936i \(0.726696\pi\)
\(60\) 3.80023e7 + 6.58219e7i 0.0488713 + 0.0846476i
\(61\) −7.82016e8 + 4.51497e8i −0.925906 + 0.534572i −0.885514 0.464612i \(-0.846194\pi\)
−0.0403913 + 0.999184i \(0.512860\pi\)
\(62\) 1.94717e9 + 1.12420e9i 2.12542 + 1.22711i
\(63\) −3.58309e7 2.06870e7i −0.0361040 0.0208446i
\(64\) 2.72137e8 0.253448
\(65\) 2.49096e8i 0.214684i
\(66\) 5.86700e8 1.01619e9i 0.468485 0.811440i
\(67\) −6.25098e8 + 1.08270e9i −0.462993 + 0.801927i −0.999108 0.0422175i \(-0.986558\pi\)
0.536116 + 0.844145i \(0.319891\pi\)
\(68\) −3.99328e8 6.91656e8i −0.274653 0.475714i
\(69\) 1.82312e9 1.05258e9i 1.16566 0.672992i
\(70\) 1.26106e8i 0.0750319i
\(71\) 5.58578e8 3.22495e8i 0.309594 0.178744i −0.337151 0.941451i \(-0.609463\pi\)
0.646745 + 0.762707i \(0.276130\pi\)
\(72\) 8.12568e7 4.69137e7i 0.0419950 0.0242458i
\(73\) 1.34157e9 7.74554e8i 0.647139 0.373626i −0.140220 0.990120i \(-0.544781\pi\)
0.787359 + 0.616494i \(0.211448\pi\)
\(74\) 5.99667e8 1.03865e9i 0.270241 0.468071i
\(75\) 2.18176e9i 0.919392i
\(76\) 1.87823e9 + 1.08440e9i 0.740766 + 0.427682i
\(77\) 6.72909e8 3.88504e8i 0.248601 0.143530i
\(78\) 4.82523e9 1.67126
\(79\) −3.38946e8 5.87072e8i −0.110153 0.190790i 0.805679 0.592352i \(-0.201801\pi\)
−0.915832 + 0.401562i \(0.868467\pi\)
\(80\) −5.42002e8 3.12925e8i −0.165406 0.0954972i
\(81\) 1.52641e9 2.64382e9i 0.437769 0.758239i
\(82\) 4.88036e9i 1.31638i
\(83\) −1.70880e9 + 2.95974e9i −0.433812 + 0.751385i −0.997198 0.0748090i \(-0.976165\pi\)
0.563385 + 0.826194i \(0.309499\pi\)
\(84\) 9.74926e8 0.233118
\(85\) 5.73065e8i 0.129154i
\(86\) −5.32232e9 + 2.91571e9i −1.13138 + 0.619800i
\(87\) 1.45581e9 0.292085
\(88\) 1.76209e9i 0.333899i
\(89\) 3.99883e9 + 2.30873e9i 0.716116 + 0.413450i 0.813321 0.581815i \(-0.197657\pi\)
−0.0972055 + 0.995264i \(0.530990\pi\)
\(90\) 1.33151e8 0.0225493
\(91\) 2.76712e9 + 1.59760e9i 0.443427 + 0.256012i
\(92\) 3.12615e9 5.41464e9i 0.474319 0.821544i
\(93\) −1.08015e10 + 6.23624e9i −1.55263 + 0.896413i
\(94\) 7.27559e9i 0.991355i
\(95\) −7.78096e8 1.34770e9i −0.100558 0.174171i
\(96\) −4.39725e9 + 7.61626e9i −0.539293 + 0.934084i
\(97\) −4.35620e9 −0.507281 −0.253641 0.967299i \(-0.581628\pi\)
−0.253641 + 0.967299i \(0.581628\pi\)
\(98\) −8.69772e9 5.02163e9i −0.962221 0.555539i
\(99\) −4.10209e8 7.10502e8i −0.0431349 0.0747119i
\(100\) 3.23989e9 + 5.61166e9i 0.323989 + 0.561166i
\(101\) 6.83517e9 + 1.18389e10i 0.650343 + 1.12643i 0.983040 + 0.183393i \(0.0587081\pi\)
−0.332697 + 0.943034i \(0.607959\pi\)
\(102\) 1.11008e10 1.00544
\(103\) −1.27955e9 2.21624e9i −0.110375 0.191175i 0.805547 0.592533i \(-0.201872\pi\)
−0.915921 + 0.401357i \(0.868539\pi\)
\(104\) −6.27525e9 + 3.62302e9i −0.515780 + 0.297786i
\(105\) −6.05824e8 3.49773e8i −0.0474679 0.0274056i
\(106\) −2.39293e10 1.38156e10i −1.78813 1.03238i
\(107\) 1.88114e10 1.34123 0.670614 0.741807i \(-0.266031\pi\)
0.670614 + 0.741807i \(0.266031\pi\)
\(108\) 1.02259e10i 0.695960i
\(109\) 2.93709e9 5.08720e9i 0.190891 0.330633i −0.754655 0.656122i \(-0.772196\pi\)
0.945546 + 0.325489i \(0.105529\pi\)
\(110\) −1.25030e9 + 2.16558e9i −0.0776338 + 0.134466i
\(111\) 3.32652e9 + 5.76170e9i 0.197413 + 0.341929i
\(112\) −6.95236e9 + 4.01395e9i −0.394496 + 0.227762i
\(113\) 2.16318e10i 1.17409i 0.809556 + 0.587043i \(0.199708\pi\)
−0.809556 + 0.587043i \(0.800292\pi\)
\(114\) −2.61063e10 + 1.50725e10i −1.35588 + 0.782817i
\(115\) −3.88521e9 + 2.24313e9i −0.193164 + 0.111523i
\(116\) 3.74446e9 2.16187e9i 0.178279 0.102929i
\(117\) 1.68685e9 2.92171e9i 0.0769392 0.133263i
\(118\) 3.85725e10i 1.68604i
\(119\) 6.36599e9 + 3.67541e9i 0.266767 + 0.154018i
\(120\) 1.37388e9 7.93210e8i 0.0552132 0.0318773i
\(121\) −1.05299e10 −0.405972
\(122\) −1.86382e10 3.22824e10i −0.689613 1.19445i
\(123\) 2.34456e10 + 1.35363e10i 0.832792 + 0.480813i
\(124\) −1.85215e10 + 3.20802e10i −0.631784 + 1.09428i
\(125\) 9.41520e9i 0.308517i
\(126\) 8.53978e8 1.47913e9i 0.0268902 0.0465752i
\(127\) −2.84019e10 −0.859664 −0.429832 0.902909i \(-0.641427\pi\)
−0.429832 + 0.902909i \(0.641427\pi\)
\(128\) 2.80921e10i 0.817588i
\(129\) 7.54905e8 3.36560e10i 0.0211321 0.942136i
\(130\) −1.02829e10 −0.276949
\(131\) 5.33960e10i 1.38405i −0.721873 0.692026i \(-0.756718\pi\)
0.721873 0.692026i \(-0.243282\pi\)
\(132\) 1.67421e10 + 9.66605e9i 0.417773 + 0.241201i
\(133\) −1.99616e10 −0.479663
\(134\) −4.46949e10 2.58046e10i −1.03451 0.597274i
\(135\) −3.66875e9 + 6.35446e9i −0.0818180 + 0.141713i
\(136\) −1.44367e10 + 8.33504e9i −0.310294 + 0.179149i
\(137\) 5.86989e10i 1.21626i −0.793837 0.608131i \(-0.791920\pi\)
0.793837 0.608131i \(-0.208080\pi\)
\(138\) 4.34515e10 + 7.52603e10i 0.868180 + 1.50373i
\(139\) 4.33664e10 7.51128e10i 0.835755 1.44757i −0.0576586 0.998336i \(-0.518363\pi\)
0.893414 0.449234i \(-0.148303\pi\)
\(140\) −2.07764e9 −0.0386304
\(141\) 3.49525e10 + 2.01799e10i 0.627167 + 0.362095i
\(142\) 1.33129e10 + 2.30586e10i 0.230585 + 0.399385i
\(143\) 3.16793e10 + 5.48702e10i 0.529780 + 0.917606i
\(144\) 4.23819e9 + 7.34077e9i 0.0684492 + 0.118557i
\(145\) −3.10244e9 −0.0484020
\(146\) 3.19743e10 + 5.53811e10i 0.481989 + 0.834829i
\(147\) 4.82486e10 2.78564e10i 0.702908 0.405824i
\(148\) 1.71121e10 + 9.87970e9i 0.240988 + 0.139135i
\(149\) 5.25234e10 + 3.03244e10i 0.715190 + 0.412915i 0.812980 0.582292i \(-0.197844\pi\)
−0.0977899 + 0.995207i \(0.531177\pi\)
\(150\) −9.00651e10 −1.18604
\(151\) 1.47720e11i 1.88172i 0.338796 + 0.940860i \(0.389980\pi\)
−0.338796 + 0.940860i \(0.610020\pi\)
\(152\) 2.26343e10 3.92037e10i 0.278964 0.483180i
\(153\) 3.88074e9 6.72164e9i 0.0462868 0.0801711i
\(154\) 1.60378e10 + 2.77783e10i 0.185158 + 0.320703i
\(155\) 2.30188e10 1.32899e10i 0.257290 0.148547i
\(156\) 7.94971e10i 0.860456i
\(157\) −4.28644e10 + 2.47478e10i −0.449364 + 0.259441i −0.707562 0.706652i \(-0.750205\pi\)
0.258197 + 0.966092i \(0.416872\pi\)
\(158\) 2.42349e10 1.39920e10i 0.246125 0.142100i
\(159\) 1.32742e11 7.66388e10i 1.30624 0.754159i
\(160\) 9.37086e9 1.62308e10i 0.0893675 0.154789i
\(161\) 5.75460e10i 0.531968i
\(162\) 1.09139e11 + 6.30115e10i 0.978150 + 0.564735i
\(163\) −9.90067e10 + 5.71615e10i −0.860451 + 0.496782i −0.864163 0.503211i \(-0.832152\pi\)
0.00371202 + 0.999993i \(0.498818\pi\)
\(164\) 8.04054e10 0.677744
\(165\) −6.93575e9 1.20131e10i −0.0567119 0.0982279i
\(166\) −1.22181e11 7.05411e10i −0.969309 0.559631i
\(167\) 3.72816e10 6.45737e10i 0.287020 0.497134i −0.686077 0.727529i \(-0.740669\pi\)
0.973097 + 0.230395i \(0.0740020\pi\)
\(168\) 2.03493e10i 0.152056i
\(169\) −6.13418e10 + 1.06247e11i −0.444962 + 0.770697i
\(170\) −2.36567e10 −0.166613
\(171\) 2.10767e10i 0.144153i
\(172\) −4.80372e10 8.76869e10i −0.319106 0.582496i
\(173\) −4.53043e10 −0.292354 −0.146177 0.989258i \(-0.546697\pi\)
−0.146177 + 0.989258i \(0.546697\pi\)
\(174\) 6.00973e10i 0.376798i
\(175\) −5.16497e10 2.98199e10i −0.314686 0.181684i
\(176\) −1.59188e11 −0.942641
\(177\) 1.85306e11 + 1.06986e11i 1.06665 + 0.615831i
\(178\) −9.53065e10 + 1.65076e11i −0.533362 + 0.923811i
\(179\) 1.40705e11 8.12359e10i 0.765674 0.442062i −0.0656554 0.997842i \(-0.520914\pi\)
0.831329 + 0.555780i \(0.187580\pi\)
\(180\) 2.19371e9i 0.0116096i
\(181\) −7.43323e10 1.28747e11i −0.382635 0.662743i 0.608803 0.793321i \(-0.291650\pi\)
−0.991438 + 0.130578i \(0.958317\pi\)
\(182\) −6.59504e10 + 1.14230e11i −0.330264 + 0.572033i
\(183\) 2.06783e11 1.00753
\(184\) −1.13018e11 6.52510e10i −0.535869 0.309384i
\(185\) −7.08905e9 1.22786e10i −0.0327137 0.0566618i
\(186\) −2.57438e11 4.45896e11i −1.15640 2.00294i
\(187\) 7.28808e10 + 1.26233e11i 0.318717 + 0.552034i
\(188\) 1.19868e11 0.510402
\(189\) 4.70597e10 + 8.15098e10i 0.195137 + 0.337988i
\(190\) 5.56344e10 3.21205e10i 0.224686 0.129722i
\(191\) 1.10887e11 + 6.40204e10i 0.436227 + 0.251856i 0.701996 0.712181i \(-0.252293\pi\)
−0.265769 + 0.964037i \(0.585626\pi\)
\(192\) −5.39695e10 3.11593e10i −0.206844 0.119421i
\(193\) 1.19474e11 0.446157 0.223079 0.974800i \(-0.428389\pi\)
0.223079 + 0.974800i \(0.428389\pi\)
\(194\) 1.79828e11i 0.654408i
\(195\) 2.85211e10 4.94000e10i 0.101156 0.175208i
\(196\) 8.27329e10 1.43298e11i 0.286021 0.495403i
\(197\) −1.55116e11 2.68669e11i −0.522788 0.905496i −0.999648 0.0265166i \(-0.991559\pi\)
0.476860 0.878979i \(-0.341775\pi\)
\(198\) 2.93302e10 1.69338e10i 0.0963805 0.0556453i
\(199\) 2.50056e11i 0.801256i −0.916241 0.400628i \(-0.868792\pi\)
0.916241 0.400628i \(-0.131208\pi\)
\(200\) 1.17130e11 6.76253e10i 0.366032 0.211329i
\(201\) 2.47935e11 1.43145e11i 0.755715 0.436312i
\(202\) −4.88719e11 + 2.82162e11i −1.45312 + 0.838961i
\(203\) −1.98978e10 + 3.44640e10i −0.0577198 + 0.0999736i
\(204\) 1.82890e11i 0.517652i
\(205\) −4.99644e10 2.88469e10i −0.138004 0.0796765i
\(206\) 9.14886e10 5.28210e10i 0.246621 0.142387i
\(207\) 6.07609e10 0.159872
\(208\) −3.27304e11 5.66908e11i −0.840688 1.45612i
\(209\) −3.42794e11 1.97912e11i −0.859610 0.496296i
\(210\) 1.44390e10 2.50090e10i 0.0353541 0.0612350i
\(211\) 5.78042e11i 1.38212i 0.722795 + 0.691062i \(0.242857\pi\)
−0.722795 + 0.691062i \(0.757143\pi\)
\(212\) 2.27616e11 3.94242e11i 0.531524 0.920627i
\(213\) −1.47701e11 −0.336887
\(214\) 7.76553e11i 1.73022i
\(215\) −1.60876e9 + 7.17234e10i −0.00350185 + 0.156124i
\(216\) −2.13443e11 −0.453955
\(217\) 3.40944e11i 0.708572i
\(218\) 2.10004e11 + 1.21246e11i 0.426526 + 0.246255i
\(219\) −3.54741e11 −0.704191
\(220\) −3.56786e10 2.05991e10i −0.0692301 0.0399700i
\(221\) −2.99699e11 + 5.19094e11i −0.568492 + 0.984656i
\(222\) −2.37848e11 + 1.37322e11i −0.441098 + 0.254668i
\(223\) 5.51700e11i 1.00041i 0.865907 + 0.500205i \(0.166742\pi\)
−0.865907 + 0.500205i \(0.833258\pi\)
\(224\) −1.20202e11 2.08196e11i −0.213143 0.369174i
\(225\) −3.14859e10 + 5.45351e10i −0.0546013 + 0.0945723i
\(226\) −8.92980e11 −1.51461
\(227\) 4.88962e11 + 2.82302e11i 0.811234 + 0.468366i 0.847384 0.530980i \(-0.178176\pi\)
−0.0361505 + 0.999346i \(0.511510\pi\)
\(228\) −2.48324e11 4.30109e11i −0.403036 0.698079i
\(229\) 3.23363e11 + 5.60081e11i 0.513467 + 0.889351i 0.999878 + 0.0156211i \(0.00497255\pi\)
−0.486411 + 0.873730i \(0.661694\pi\)
\(230\) −9.25984e10 1.60385e11i −0.143868 0.249187i
\(231\) −1.77932e11 −0.270517
\(232\) −4.51239e10 7.81570e10i −0.0671378 0.116286i
\(233\) −4.42206e11 + 2.55308e11i −0.643939 + 0.371778i −0.786130 0.618061i \(-0.787919\pi\)
0.142191 + 0.989839i \(0.454585\pi\)
\(234\) 1.20611e11 + 6.96348e10i 0.171913 + 0.0992538i
\(235\) −7.44864e10 4.30047e10i −0.103929 0.0600036i
\(236\) 6.35495e11 0.868064
\(237\) 1.55235e11i 0.207610i
\(238\) −1.51724e11 + 2.62794e11i −0.198687 + 0.344137i
\(239\) 4.18261e11 7.24449e11i 0.536362 0.929006i −0.462734 0.886497i \(-0.653132\pi\)
0.999096 0.0425090i \(-0.0135351\pi\)
\(240\) 7.16588e10 + 1.24117e11i 0.0899940 + 0.155874i
\(241\) −4.21427e11 + 2.43311e11i −0.518366 + 0.299279i −0.736266 0.676692i \(-0.763413\pi\)
0.217900 + 0.975971i \(0.430079\pi\)
\(242\) 4.34683e11i 0.523716i
\(243\) 1.63463e11 9.43756e10i 0.192925 0.111385i
\(244\) 5.31862e11 3.07071e11i 0.614964 0.355050i
\(245\) −1.02821e11 + 5.93639e10i −0.116480 + 0.0672500i
\(246\) −5.58793e11 + 9.67858e11i −0.620262 + 1.07433i
\(247\) 1.62770e12i 1.77047i
\(248\) 6.69600e11 + 3.86594e11i 0.713768 + 0.412094i
\(249\) 6.77770e11 3.91311e11i 0.708085 0.408813i
\(250\) 3.88668e11 0.397996
\(251\) 5.28711e11 + 9.15754e11i 0.530700 + 0.919200i 0.999358 + 0.0358204i \(0.0114044\pi\)
−0.468658 + 0.883380i \(0.655262\pi\)
\(252\) 2.43692e10 + 1.40696e10i 0.0239794 + 0.0138445i
\(253\) −5.70549e11 + 9.88220e11i −0.550415 + 0.953347i
\(254\) 1.17246e12i 1.10899i
\(255\) 6.56150e10 1.13649e11i 0.0608559 0.105405i
\(256\) 1.43834e12 1.30816
\(257\) 8.83864e11i 0.788351i 0.919035 + 0.394176i \(0.128970\pi\)
−0.919035 + 0.394176i \(0.871030\pi\)
\(258\) 1.38935e12 + 3.11632e10i 1.21538 + 0.0272611i
\(259\) −1.81865e11 −0.156045
\(260\) 1.69414e11i 0.142588i
\(261\) 3.63894e10 + 2.10094e10i 0.0300450 + 0.0173465i
\(262\) 2.20424e12 1.78547
\(263\) 1.78085e12 + 1.02817e12i 1.41530 + 0.817124i 0.995881 0.0906689i \(-0.0289005\pi\)
0.419419 + 0.907793i \(0.362234\pi\)
\(264\) 2.01756e11 3.49452e11i 0.157329 0.272501i
\(265\) −2.82883e11 + 1.63323e11i −0.216460 + 0.124973i
\(266\) 8.24032e11i 0.618780i
\(267\) −5.28691e11 9.15720e11i −0.389624 0.674849i
\(268\) 4.25139e11 7.36363e11i 0.307509 0.532621i
\(269\) −1.84471e12 −1.30968 −0.654842 0.755766i \(-0.727265\pi\)
−0.654842 + 0.755766i \(0.727265\pi\)
\(270\) −2.62318e11 1.51449e11i −0.182814 0.105548i
\(271\) 1.05654e12 + 1.82999e12i 0.722838 + 1.25199i 0.959858 + 0.280487i \(0.0904959\pi\)
−0.237020 + 0.971505i \(0.576171\pi\)
\(272\) −7.52990e11 1.30422e12i −0.505760 0.876003i
\(273\) −3.65845e11 6.33663e11i −0.241259 0.417873i
\(274\) 2.42314e12 1.56901
\(275\) −5.91309e11 1.02418e12i −0.375968 0.651196i
\(276\) −1.23994e12 + 7.15877e11i −0.774201 + 0.446985i
\(277\) −2.70610e12 1.56237e12i −1.65938 0.958043i −0.973002 0.230797i \(-0.925867\pi\)
−0.686377 0.727246i \(-0.740800\pi\)
\(278\) 3.10073e12 + 1.79021e12i 1.86741 + 1.07815i
\(279\) −3.59991e11 −0.212947
\(280\) 4.33659e10i 0.0251975i
\(281\) 1.60205e12 2.77483e12i 0.914416 1.58381i 0.106661 0.994295i \(-0.465984\pi\)
0.807755 0.589519i \(-0.200683\pi\)
\(282\) −8.33043e11 + 1.44287e12i −0.467113 + 0.809064i
\(283\) −6.23926e11 1.08067e12i −0.343717 0.595335i 0.641403 0.767204i \(-0.278353\pi\)
−0.985120 + 0.171869i \(0.945019\pi\)
\(284\) −3.79898e11 + 2.19334e11i −0.205625 + 0.118718i
\(285\) 3.56363e11i 0.189526i
\(286\) −2.26509e12 + 1.30775e12i −1.18374 + 0.683432i
\(287\) −6.40902e11 + 3.70025e11i −0.329141 + 0.190030i
\(288\) −2.19827e11 + 1.26917e11i −0.110948 + 0.0640557i
\(289\) 3.18515e11 5.51684e11i 0.157994 0.273654i
\(290\) 1.28072e11i 0.0624400i
\(291\) 8.63908e11 + 4.98777e11i 0.414002 + 0.239024i
\(292\) −9.12421e11 + 5.26787e11i −0.429814 + 0.248153i
\(293\) 1.09966e12 0.509236 0.254618 0.967042i \(-0.418050\pi\)
0.254618 + 0.967042i \(0.418050\pi\)
\(294\) 1.14994e12 + 1.99175e12i 0.523525 + 0.906771i
\(295\) −3.94900e11 2.27996e11i −0.176757 0.102051i
\(296\) 2.06216e11 3.57176e11i 0.0907535 0.157190i
\(297\) 1.86632e12i 0.807616i
\(298\) −1.25182e12 + 2.16821e12i −0.532673 + 0.922616i
\(299\) −4.69240e12 −1.96354
\(300\) 1.48385e12i 0.610638i
\(301\) 7.86433e11 + 4.77876e11i 0.318295 + 0.193412i
\(302\) −6.09803e12 −2.42747
\(303\) 3.13046e12i 1.22573i
\(304\) 3.54168e12 + 2.04479e12i 1.36408 + 0.787554i
\(305\) −4.40669e11 −0.166960
\(306\) 2.77476e11 + 1.60201e11i 0.103423 + 0.0597114i
\(307\) −9.71653e11 + 1.68295e12i −0.356303 + 0.617134i −0.987340 0.158618i \(-0.949296\pi\)
0.631037 + 0.775752i \(0.282629\pi\)
\(308\) −4.57657e11 + 2.64228e11i −0.165115 + 0.0953291i
\(309\) 5.86025e11i 0.208029i
\(310\) 5.48619e11 + 9.50236e11i 0.191630 + 0.331912i
\(311\) 8.92709e11 1.54622e12i 0.306837 0.531457i −0.670832 0.741610i \(-0.734063\pi\)
0.977669 + 0.210152i \(0.0673960\pi\)
\(312\) 1.65932e12 0.561250
\(313\) 2.36168e12 + 1.36352e12i 0.786139 + 0.453878i 0.838602 0.544745i \(-0.183374\pi\)
−0.0524625 + 0.998623i \(0.516707\pi\)
\(314\) −1.02161e12 1.76948e12i −0.334686 0.579693i
\(315\) −1.00954e10 1.74858e10i −0.00325516 0.00563810i
\(316\) 2.30523e11 + 3.99278e11i 0.0731609 + 0.126718i
\(317\) −4.85387e12 −1.51632 −0.758162 0.652067i \(-0.773902\pi\)
−0.758162 + 0.652067i \(0.773902\pi\)
\(318\) 3.16372e12 + 5.47973e12i 0.972888 + 1.68509i
\(319\) −6.83397e11 + 3.94560e11i −0.206881 + 0.119443i
\(320\) 1.15013e11 + 6.64027e10i 0.0342765 + 0.0197896i
\(321\) −3.73062e12 2.15388e12i −1.09460 0.631969i
\(322\) −2.37555e12 −0.686255
\(323\) 3.74466e12i 1.06512i
\(324\) −1.03813e12 + 1.79810e12i −0.290756 + 0.503604i
\(325\) 2.43157e12 4.21160e12i 0.670610 1.16153i
\(326\) −2.35968e12 4.08709e12i −0.640863 1.11001i
\(327\) −1.16495e12 + 6.72585e11i −0.311580 + 0.179891i
\(328\) 1.67828e12i 0.442073i
\(329\) −9.55451e11 + 5.51630e11i −0.247873 + 0.143109i
\(330\) 4.95911e11 2.86315e11i 0.126717 0.0731600i
\(331\) 1.19899e12 6.92238e11i 0.301770 0.174227i −0.341468 0.939894i \(-0.610924\pi\)
0.643238 + 0.765666i \(0.277591\pi\)
\(332\) 1.16219e12 2.01296e12i 0.288128 0.499052i
\(333\) 1.92025e11i 0.0468962i
\(334\) 2.66566e12 + 1.53902e12i 0.641317 + 0.370265i
\(335\) −5.28368e11 + 3.05053e11i −0.125231 + 0.0723022i
\(336\) 1.83836e12 0.429274
\(337\) −1.76567e12 3.05823e12i −0.406219 0.703593i 0.588243 0.808684i \(-0.299820\pi\)
−0.994463 + 0.105091i \(0.966486\pi\)
\(338\) −4.38598e12 2.53225e12i −0.994222 0.574014i
\(339\) 2.47680e12 4.28995e12i 0.553214 0.958194i
\(340\) 3.89751e11i 0.0857813i
\(341\) 3.38034e12 5.85492e12i 0.733143 1.26984i
\(342\) −8.70068e11 −0.185961
\(343\) 3.29118e12i 0.693235i
\(344\) −1.83026e12 + 1.00266e12i −0.379945 + 0.208144i
\(345\) 1.02734e12 0.210193
\(346\) 1.87020e12i 0.377145i
\(347\) 5.21753e12 + 3.01234e12i 1.03709 + 0.598765i 0.919008 0.394238i \(-0.128991\pi\)
0.118084 + 0.993004i \(0.462325\pi\)
\(348\) −9.90121e11 −0.193996
\(349\) 5.46754e12 + 3.15669e12i 1.05600 + 0.609683i 0.924324 0.381609i \(-0.124630\pi\)
0.131679 + 0.991292i \(0.457963\pi\)
\(350\) 1.23100e12 2.13215e12i 0.234378 0.405954i
\(351\) −6.64645e12 + 3.83733e12i −1.24754 + 0.720267i
\(352\) 4.76704e12i 0.882136i
\(353\) −1.75076e12 3.03241e12i −0.319414 0.553242i 0.660952 0.750428i \(-0.270153\pi\)
−0.980366 + 0.197187i \(0.936819\pi\)
\(354\) −4.41649e12 + 7.64959e12i −0.794440 + 1.37601i
\(355\) 3.14761e11 0.0558263
\(356\) −2.71967e12 1.57020e12i −0.475627 0.274603i
\(357\) −8.41657e11 1.45779e12i −0.145142 0.251394i
\(358\) 3.35350e12 + 5.80843e12i 0.570273 + 0.987742i
\(359\) 1.51035e12 + 2.61600e12i 0.253283 + 0.438698i 0.964428 0.264347i \(-0.0851564\pi\)
−0.711145 + 0.703045i \(0.751823\pi\)
\(360\) 4.57886e10 0.00757259
\(361\) 2.01888e12 + 3.49680e12i 0.329287 + 0.570342i
\(362\) 5.31481e12 3.06851e12i 0.854958 0.493610i
\(363\) 2.08825e12 + 1.20565e12i 0.331322 + 0.191289i
\(364\) −1.88197e12 1.08655e12i −0.294513 0.170037i
\(365\) 7.55978e11 0.116693
\(366\) 8.53619e12i 1.29975i
\(367\) 2.45639e12 4.25460e12i 0.368950 0.639040i −0.620452 0.784245i \(-0.713051\pi\)
0.989402 + 0.145205i \(0.0463841\pi\)
\(368\) 5.89480e12 1.02101e13i 0.873434 1.51283i
\(369\) 3.90697e11 + 6.76707e11i 0.0571095 + 0.0989165i
\(370\) 5.06872e11 2.92643e11i 0.0730953 0.0422016i
\(371\) 4.18995e12i 0.596127i
\(372\) 7.34627e12 4.24137e12i 1.03122 0.595376i
\(373\) −3.07830e12 + 1.77726e12i −0.426351 + 0.246154i −0.697791 0.716302i \(-0.745834\pi\)
0.271440 + 0.962455i \(0.412500\pi\)
\(374\) −5.21103e12 + 3.00859e12i −0.712140 + 0.411154i
\(375\) −1.07803e12 + 1.86719e12i −0.145369 + 0.251787i
\(376\) 2.50196e12i 0.332921i
\(377\) −2.81025e12 1.62250e12i −0.369010 0.213048i
\(378\) −3.36480e12 + 1.94267e12i −0.436014 + 0.251733i
\(379\) 2.23716e12 0.286089 0.143045 0.989716i \(-0.454311\pi\)
0.143045 + 0.989716i \(0.454311\pi\)
\(380\) 5.29196e11 + 9.16594e11i 0.0667880 + 0.115680i
\(381\) 5.63258e12 + 3.25197e12i 0.701589 + 0.405062i
\(382\) −2.64282e12 + 4.57750e12i −0.324901 + 0.562745i
\(383\) 3.12795e11i 0.0379547i −0.999820 0.0189774i \(-0.993959\pi\)
0.999820 0.0189774i \(-0.00604104\pi\)
\(384\) −3.21650e12 + 5.57114e12i −0.385236 + 0.667249i
\(385\) 3.79187e11 0.0448281
\(386\) 4.93201e12i 0.575556i
\(387\) 5.04573e11 8.30369e11i 0.0581258 0.0956568i
\(388\) 2.96272e12 0.336924
\(389\) 6.18039e12i 0.693853i −0.937892 0.346927i \(-0.887225\pi\)
0.937892 0.346927i \(-0.112775\pi\)
\(390\) 2.03928e12 + 1.17738e12i 0.226023 + 0.130495i
\(391\) −1.07952e13 −1.18127
\(392\) −2.99100e12 1.72686e12i −0.323137 0.186563i
\(393\) −6.11375e12 + 1.05893e13i −0.652147 + 1.12955i
\(394\) 1.10909e13 6.40334e12i 1.16812 0.674412i
\(395\) 3.30818e11i 0.0344035i
\(396\) 2.78990e11 + 4.83224e11i 0.0286492 + 0.0496218i
\(397\) −3.69027e12 + 6.39173e12i −0.374201 + 0.648136i −0.990207 0.139606i \(-0.955416\pi\)
0.616006 + 0.787742i \(0.288750\pi\)
\(398\) 1.03225e13 1.03364
\(399\) 3.95872e12 + 2.28557e12i 0.391462 + 0.226011i
\(400\) 6.10929e12 + 1.05816e13i 0.596610 + 1.03336i
\(401\) −7.22526e12 1.25145e13i −0.696838 1.20696i −0.969557 0.244865i \(-0.921256\pi\)
0.272719 0.962094i \(-0.412077\pi\)
\(402\) 5.90918e12 + 1.02350e13i 0.562855 + 0.974894i
\(403\) 2.78011e13 2.61540
\(404\) −4.64871e12 8.05180e12i −0.431942 0.748146i
\(405\) 1.29021e12 7.44900e11i 0.118409 0.0683633i
\(406\) −1.42271e12 8.21400e11i −0.128969 0.0744602i
\(407\) −3.12311e12 1.80313e12i −0.279651 0.161456i
\(408\) 3.81739e12 0.337650
\(409\) 1.55764e13i 1.36098i 0.732757 + 0.680490i \(0.238233\pi\)
−0.732757 + 0.680490i \(0.761767\pi\)
\(410\) 1.19083e12 2.06258e12i 0.102785 0.178029i
\(411\) −6.72092e12 + 1.16410e13i −0.573086 + 0.992614i
\(412\) 8.70242e11 + 1.50730e12i 0.0733084 + 0.126974i
\(413\) −5.06545e12 + 2.92454e12i −0.421569 + 0.243393i
\(414\) 2.50827e12i 0.206240i
\(415\) −1.44438e12 + 8.33912e11i −0.117338 + 0.0677454i
\(416\) 1.69766e13 9.80146e12i 1.36265 0.786727i
\(417\) −1.72006e13 + 9.93076e12i −1.36415 + 0.787594i
\(418\) 8.17000e12 1.41508e13i 0.640236 1.10892i
\(419\) 3.58620e12i 0.277692i −0.990314 0.138846i \(-0.955661\pi\)
0.990314 0.138846i \(-0.0443394\pi\)
\(420\) 4.12031e11 + 2.37886e11i 0.0315271 + 0.0182022i
\(421\) −6.79708e12 + 3.92430e12i −0.513939 + 0.296723i −0.734451 0.678661i \(-0.762560\pi\)
0.220512 + 0.975384i \(0.429227\pi\)
\(422\) −2.38621e13 −1.78298
\(423\) 5.82447e11 + 1.00883e12i 0.0430086 + 0.0744930i
\(424\) −8.22889e12 4.75095e12i −0.600499 0.346698i
\(425\) 5.59402e12 9.68913e12i 0.403441 0.698780i
\(426\) 6.09723e12i 0.434595i
\(427\) −2.82627e12 + 4.89525e12i −0.199102 + 0.344854i
\(428\) −1.27939e13 −0.890811
\(429\) 1.45089e13i 0.998501i
\(430\) −2.96081e12 6.64110e10i −0.201404 0.00451750i
\(431\) −5.68339e12 −0.382139 −0.191069 0.981577i \(-0.561196\pi\)
−0.191069 + 0.981577i \(0.561196\pi\)
\(432\) 1.92825e13i 1.28158i
\(433\) 1.85136e13 + 1.06888e13i 1.21633 + 0.702247i 0.964131 0.265429i \(-0.0855134\pi\)
0.252197 + 0.967676i \(0.418847\pi\)
\(434\) 1.40745e13 0.914079
\(435\) 6.15267e11 + 3.55224e11i 0.0395018 + 0.0228064i
\(436\) −1.99757e12 + 3.45988e12i −0.126785 + 0.219598i
\(437\) 2.53876e13 1.46576e13i 1.59300 0.919717i
\(438\) 1.46440e13i 0.908427i
\(439\) −4.08633e12 7.07773e12i −0.250617 0.434082i 0.713079 0.701084i \(-0.247300\pi\)
−0.963696 + 0.267002i \(0.913967\pi\)
\(440\) −4.29958e11 + 7.44709e11i −0.0260713 + 0.0451568i
\(441\) 1.60803e12 0.0964051
\(442\) −2.14287e13 1.23719e13i −1.27024 0.733371i
\(443\) 7.62653e12 + 1.32095e13i 0.447001 + 0.774228i 0.998189 0.0601528i \(-0.0191588\pi\)
−0.551188 + 0.834381i \(0.685825\pi\)
\(444\) −2.26242e12 3.91862e12i −0.131117 0.227101i
\(445\) 1.12668e12 + 1.95147e12i 0.0645655 + 0.111831i
\(446\) −2.27747e13 −1.29056
\(447\) −6.94419e12 1.20277e13i −0.389120 0.673976i
\(448\) 1.47529e12 8.51760e11i 0.0817500 0.0471984i
\(449\) −4.77891e12 2.75910e12i −0.261877 0.151195i 0.363314 0.931667i \(-0.381645\pi\)
−0.625190 + 0.780472i \(0.714979\pi\)
\(450\) −2.25126e12 1.29977e12i −0.122001 0.0704373i
\(451\) −1.46747e13 −0.786477
\(452\) 1.47121e13i 0.779800i
\(453\) 1.69137e13 2.92954e13i 0.886641 1.53571i
\(454\) −1.16537e13 + 2.01848e13i −0.604206 + 1.04652i
\(455\) 7.79643e11 + 1.35038e12i 0.0399796 + 0.0692467i
\(456\) −8.97753e12 + 5.18318e12i −0.455336 + 0.262889i
\(457\) 4.19261e12i 0.210331i −0.994455 0.105166i \(-0.966463\pi\)
0.994455 0.105166i \(-0.0335373\pi\)
\(458\) −2.31207e13 + 1.33487e13i −1.14729 + 0.662388i
\(459\) −1.52907e13 + 8.82809e12i −0.750523 + 0.433315i
\(460\) 2.64239e12 1.52559e12i 0.128295 0.0740709i
\(461\) −1.55764e13 + 2.69792e13i −0.748107 + 1.29576i 0.200622 + 0.979669i \(0.435704\pi\)
−0.948729 + 0.316091i \(0.897630\pi\)
\(462\) 7.34522e12i 0.348976i
\(463\) −1.10333e13 6.37009e12i −0.518563 0.299392i 0.217784 0.975997i \(-0.430117\pi\)
−0.736346 + 0.676605i \(0.763451\pi\)
\(464\) 7.06072e12 4.07651e12i 0.328291 0.189539i
\(465\) −6.08668e12 −0.279973
\(466\) −1.05393e13 1.82547e13i −0.479605 0.830700i
\(467\) 3.00497e13 + 1.73492e13i 1.35287 + 0.781079i 0.988650 0.150234i \(-0.0480027\pi\)
0.364219 + 0.931313i \(0.381336\pi\)
\(468\) −1.14726e12 + 1.98710e12i −0.0511012 + 0.0885098i
\(469\) 7.82595e12i 0.344884i
\(470\) 1.77528e12 3.07487e12i 0.0774064 0.134072i
\(471\) 1.13343e13 0.488980
\(472\) 1.32645e13i 0.566213i
\(473\) 8.76720e12 + 1.60036e13i 0.370301 + 0.675947i
\(474\) −6.40826e12 −0.267823
\(475\) 3.03818e13i 1.25645i
\(476\) −4.32962e12 2.49971e12i −0.177180 0.102295i
\(477\) 4.42402e12 0.179154
\(478\) 2.99060e13 + 1.72662e13i 1.19845 + 0.691923i
\(479\) −6.01042e12 + 1.04104e13i −0.238357 + 0.412846i −0.960243 0.279166i \(-0.909942\pi\)
0.721886 + 0.692012i \(0.243275\pi\)
\(480\) −3.71680e12 + 2.14590e12i −0.145869 + 0.0842176i
\(481\) 1.48296e13i 0.575976i
\(482\) −1.00441e13 1.73969e13i −0.386079 0.668708i
\(483\) 6.58893e12 1.14124e13i 0.250656 0.434150i
\(484\) 7.16154e12 0.269637
\(485\) −1.84105e12 1.06293e12i −0.0686052 0.0396092i
\(486\) 3.89592e12 + 6.74792e12i 0.143691 + 0.248879i
\(487\) −6.56921e12 1.13782e13i −0.239811 0.415364i 0.720849 0.693092i \(-0.243752\pi\)
−0.960660 + 0.277728i \(0.910419\pi\)
\(488\) −6.40939e12 1.11014e13i −0.231589 0.401123i
\(489\) 2.61796e13 0.936308
\(490\) −2.45060e12 4.24456e12i −0.0867545 0.150263i
\(491\) 1.16197e12 6.70864e11i 0.0407181 0.0235086i −0.479503 0.877540i \(-0.659183\pi\)
0.520221 + 0.854032i \(0.325850\pi\)
\(492\) −1.59458e13 9.20629e12i −0.553120 0.319344i
\(493\) −6.46521e12 3.73269e12i −0.221998 0.128170i
\(494\) 6.71930e13 2.28396
\(495\) 4.00371e11i 0.0134721i
\(496\) −3.49250e13 + 6.04919e13i −1.16340 + 2.01506i
\(497\) 2.01875e12 3.49658e12i 0.0665734 0.115308i
\(498\) 1.61537e13 + 2.79790e13i 0.527381 + 0.913451i
\(499\) −2.28369e13 + 1.31849e13i −0.738132 + 0.426161i −0.821390 0.570367i \(-0.806801\pi\)
0.0832577 + 0.996528i \(0.473468\pi\)
\(500\) 6.40343e12i 0.204910i
\(501\) −1.47872e13 + 8.53737e12i −0.468486 + 0.270480i
\(502\) −3.78032e13 + 2.18257e13i −1.18580 + 0.684619i
\(503\) 4.28390e13 2.47331e13i 1.33045 0.768137i 0.345083 0.938572i \(-0.387851\pi\)
0.985369 + 0.170435i \(0.0545174\pi\)
\(504\) 2.93669e11 5.08650e11i 0.00903037 0.0156411i
\(505\) 6.67124e12i 0.203119i
\(506\) −4.07946e13 2.35528e13i −1.22985 0.710052i
\(507\) 2.43303e13 1.40471e13i 0.726285 0.419321i
\(508\) 1.93166e13 0.570968
\(509\) 2.19725e13 + 3.80574e13i 0.643117 + 1.11391i 0.984733 + 0.174071i \(0.0556924\pi\)
−0.341616 + 0.939840i \(0.610974\pi\)
\(510\) 4.69152e12 + 2.70865e12i 0.135976 + 0.0785059i
\(511\) 4.84854e12 8.39791e12i 0.139157 0.241028i
\(512\) 3.06096e13i 0.869977i
\(513\) 2.39732e13 4.15228e13i 0.674744 1.16869i
\(514\) −3.64867e13 −1.01700
\(515\) 1.24886e12i 0.0344729i
\(516\) −5.13423e11 + 2.28900e13i −0.0140355 + 0.625744i
\(517\) −2.18769e13 −0.592288
\(518\) 7.50757e12i 0.201303i
\(519\) 8.98460e12 + 5.18726e12i 0.238595 + 0.137753i
\(520\) −3.53613e12 −0.0930060
\(521\) 4.88633e12 + 2.82112e12i 0.127290 + 0.0734909i 0.562293 0.826938i \(-0.309919\pi\)
−0.435003 + 0.900429i \(0.643253\pi\)
\(522\) −8.67288e11 + 1.50219e12i −0.0223775 + 0.0387589i
\(523\) 5.68102e13 3.27994e13i 1.45184 0.838218i 0.453250 0.891383i \(-0.350264\pi\)
0.998586 + 0.0531656i \(0.0169311\pi\)
\(524\) 3.63155e13i 0.919254i
\(525\) 6.82867e12 + 1.18276e13i 0.171214 + 0.296552i
\(526\) −4.24440e13 + 7.35152e13i −1.05411 + 1.82578i
\(527\) 6.39588e13 1.57343
\(528\) 3.15696e13 + 1.82267e13i 0.769307 + 0.444160i
\(529\) −2.15422e13 3.73121e13i −0.520009 0.900682i
\(530\) −6.74212e12 1.16777e13i −0.161219 0.279240i
\(531\) 3.08792e12 + 5.34844e12i 0.0731466 + 0.126694i
\(532\) 1.35762e13 0.318581
\(533\) −3.01725e13 5.22603e13i −0.701415 1.21489i
\(534\) 3.78018e13 2.18249e13i 0.870575 0.502627i
\(535\) 7.95023e12 + 4.59007e12i 0.181389 + 0.104725i
\(536\) −1.53699e13 8.87380e12i −0.347413 0.200579i
\(537\) −3.72055e13 −0.833175
\(538\) 7.61513e13i 1.68953i
\(539\) −1.50995e13 + 2.61531e13i −0.331908 + 0.574882i
\(540\) 2.49517e12 4.32177e12i 0.0543416 0.0941224i
\(541\) −2.53038e13 4.38274e13i −0.546008 0.945713i −0.998543 0.0539665i \(-0.982814\pi\)
0.452535 0.891747i \(-0.350520\pi\)
\(542\) −7.55436e13 + 4.36151e13i −1.61511 + 0.932482i
\(543\) 3.40437e13i 0.721170i
\(544\) 3.90561e13 2.25491e13i 0.819775 0.473297i
\(545\) 2.48260e12 1.43333e12i 0.0516326 0.0298101i
\(546\) 2.61582e13 1.51024e13i 0.539069 0.311232i
\(547\) 3.82528e13 6.62558e13i 0.781136 1.35297i −0.150144 0.988664i \(-0.547974\pi\)
0.931280 0.364303i \(-0.118693\pi\)
\(548\) 3.99221e13i 0.807812i
\(549\) 5.16873e12 + 2.98417e12i 0.103639 + 0.0598359i
\(550\) 4.22790e13 2.44098e13i 0.840062 0.485010i
\(551\) 2.02727e13 0.399166
\(552\) 1.49423e13 + 2.58808e13i 0.291556 + 0.504989i
\(553\) −3.67494e12 2.12173e12i −0.0710600 0.0410265i
\(554\) 6.44961e13 1.11711e14i 1.23590 2.14065i
\(555\) 3.24674e12i 0.0616570i
\(556\) −2.94942e13 + 5.10854e13i −0.555089 + 0.961442i
\(557\) −6.57906e13 −1.22712 −0.613561 0.789647i \(-0.710264\pi\)
−0.613561 + 0.789647i \(0.710264\pi\)
\(558\) 1.48608e13i 0.274707i
\(559\) −3.89668e13 + 6.41271e13i −0.713897 + 1.17485i
\(560\) −3.91769e12 −0.0711360
\(561\) 3.33789e13i 0.600701i
\(562\) 1.14547e14 + 6.61340e13i 2.04317 + 1.17962i
\(563\) 1.03948e14 1.83769 0.918847 0.394614i \(-0.129122\pi\)
0.918847 + 0.394614i \(0.129122\pi\)
\(564\) −2.37718e13 1.37246e13i −0.416549 0.240495i
\(565\) −5.27825e12 + 9.14219e12i −0.0916743 + 0.158785i
\(566\) 4.46111e13 2.57562e13i 0.768000 0.443405i
\(567\) 1.91100e13i 0.326095i
\(568\) 4.57809e12 + 7.92949e12i 0.0774360 + 0.134123i
\(569\) 1.57967e13 2.73607e13i 0.264853 0.458738i −0.702672 0.711514i \(-0.748010\pi\)
0.967525 + 0.252775i \(0.0813433\pi\)
\(570\) −1.47110e13 −0.244494
\(571\) −1.86693e13 1.07787e13i −0.307573 0.177577i 0.338267 0.941050i \(-0.390159\pi\)
−0.645840 + 0.763473i \(0.723493\pi\)
\(572\) −2.15456e13 3.73181e13i −0.351867 0.609452i
\(573\) −1.46605e13 2.53927e13i −0.237342 0.411088i
\(574\) −1.52750e13 2.64570e13i −0.245144 0.424602i
\(575\) 8.75858e13 1.39346
\(576\) −8.99345e11 1.55771e12i −0.0141845 0.0245683i
\(577\) −2.46125e13 + 1.42100e13i −0.384837 + 0.222186i −0.679921 0.733286i \(-0.737986\pi\)
0.295084 + 0.955471i \(0.404652\pi\)
\(578\) 2.27740e13 + 1.31486e13i 0.353021 + 0.203817i
\(579\) −2.36938e13 1.36796e13i −0.364117 0.210223i
\(580\) 2.11002e12 0.0321475
\(581\) 2.13935e13i 0.323148i
\(582\) −2.05900e13 + 3.56629e13i −0.308348 + 0.534075i
\(583\) −4.15419e13 + 7.19526e13i −0.616799 + 1.06833i
\(584\) 1.09954e13 + 1.90447e13i 0.161863 + 0.280356i
\(585\) 1.42582e12 8.23199e11i 0.0208107 0.0120150i
\(586\) 4.53949e13i 0.656929i
\(587\) −1.38882e13 + 8.01836e12i −0.199276 + 0.115052i −0.596318 0.802748i \(-0.703370\pi\)
0.397042 + 0.917801i \(0.370037\pi\)
\(588\) −3.28147e13 + 1.89456e13i −0.466854 + 0.269538i
\(589\) −1.50415e14 + 8.68419e13i −2.12184 + 1.22505i
\(590\) 9.41187e12 1.63018e13i 0.131648 0.228022i
\(591\) 7.10422e13i 0.985324i
\(592\) 3.22674e13 + 1.86296e13i 0.443767 + 0.256209i
\(593\) −9.79595e13 + 5.65569e13i −1.33590 + 0.771281i −0.986196 0.165581i \(-0.947050\pi\)
−0.349701 + 0.936861i \(0.613717\pi\)
\(594\) −7.70436e13 −1.04185
\(595\) 1.79363e12 + 3.10666e12i 0.0240518 + 0.0416590i
\(596\) −3.57220e13 2.06241e13i −0.475012 0.274248i
\(597\) −2.86310e13 + 4.95903e13i −0.377541 + 0.653921i
\(598\) 1.93707e14i 2.53302i
\(599\) −3.77356e12 + 6.53600e12i −0.0489348 + 0.0847575i −0.889455 0.457022i \(-0.848916\pi\)
0.840520 + 0.541780i \(0.182249\pi\)
\(600\) −3.09719e13 −0.398302
\(601\) 3.00634e13i 0.383412i −0.981452 0.191706i \(-0.938598\pi\)
0.981452 0.191706i \(-0.0614020\pi\)
\(602\) −1.97272e13 + 3.24647e13i −0.249507 + 0.410610i
\(603\) 8.26316e12 0.103648
\(604\) 1.00467e14i 1.24979i
\(605\) −4.45022e12 2.56934e12i −0.0549041 0.0316989i
\(606\) 1.29228e14 1.58123
\(607\) −2.03151e13 1.17290e13i −0.246534 0.142336i 0.371642 0.928376i \(-0.378795\pi\)
−0.618176 + 0.786040i \(0.712128\pi\)
\(608\) −6.12333e13 + 1.06059e14i −0.737003 + 1.27653i
\(609\) 7.89214e12 4.55653e12i 0.0942125 0.0543936i
\(610\) 1.81912e13i 0.215384i
\(611\) −4.49809e13 7.79091e13i −0.528228 0.914918i
\(612\) −2.63935e12 + 4.57150e12i −0.0307426 + 0.0532477i
\(613\) −1.83518e12 −0.0212019 −0.0106010 0.999944i \(-0.503374\pi\)
−0.0106010 + 0.999944i \(0.503374\pi\)
\(614\) −6.94738e13 4.01107e13i −0.796122 0.459641i
\(615\) 6.60585e12 + 1.14417e13i 0.0750850 + 0.130051i
\(616\) 5.51515e12 + 9.55252e12i 0.0621804 + 0.107700i
\(617\) −2.29752e13 3.97942e13i −0.256941 0.445035i 0.708480 0.705731i \(-0.249381\pi\)
−0.965421 + 0.260696i \(0.916048\pi\)
\(618\) −2.41917e13 −0.268363
\(619\) −5.10992e13 8.85065e13i −0.562291 0.973917i −0.997296 0.0734887i \(-0.976587\pi\)
0.435005 0.900428i \(-0.356747\pi\)
\(620\) −1.56554e13 + 9.03867e12i −0.170886 + 0.0986611i
\(621\) −1.19704e14 6.91109e13i −1.29613 0.748322i
\(622\) 6.38293e13 + 3.68519e13i 0.685596 + 0.395829i
\(623\) 2.89043e13 0.307979
\(624\) 1.49903e14i 1.58449i
\(625\) −4.42235e13 + 7.65974e13i −0.463717 + 0.803182i
\(626\) −5.62873e13 + 9.74924e13i −0.585516 + 1.01414i
\(627\) 4.53212e13 + 7.84986e13i 0.467696 + 0.810074i
\(628\) 2.91528e13 1.68314e13i 0.298457 0.172314i
\(629\) 3.41167e13i 0.346508i
\(630\) 7.21830e11 4.16749e11i 0.00727331 0.00419925i
\(631\) −1.05028e14 + 6.06381e13i −1.04993 + 0.606176i −0.922629 0.385689i \(-0.873964\pi\)
−0.127298 + 0.991864i \(0.540631\pi\)
\(632\) 8.33399e12 4.81163e12i 0.0826547 0.0477207i
\(633\) 6.61849e13 1.14636e14i 0.651239 1.12798i
\(634\) 2.00372e14i 1.95610i
\(635\) −1.20034e13 6.93019e12i −0.116262 0.0671238i
\(636\) −9.02802e13 + 5.21233e13i −0.867575 + 0.500894i
\(637\) −1.24184e14 −1.18404
\(638\) −1.62878e13 2.82113e13i −0.154084 0.266882i
\(639\) −3.69192e12 2.13153e12i −0.0346535 0.0200072i
\(640\) 6.85460e12 1.18725e13i 0.0638384 0.110571i
\(641\) 2.13877e13i 0.197639i 0.995105 + 0.0988197i \(0.0315067\pi\)
−0.995105 + 0.0988197i \(0.968493\pi\)
\(642\) 8.89140e13 1.54004e14i 0.815258 1.41207i
\(643\) 1.81057e14 1.64725 0.823626 0.567133i \(-0.191947\pi\)
0.823626 + 0.567133i \(0.191947\pi\)
\(644\) 3.91380e13i 0.353321i
\(645\) 8.53125e12 1.40398e13i 0.0764213 0.125765i
\(646\) 1.54583e14 1.37404
\(647\) 4.49325e12i 0.0396314i −0.999804 0.0198157i \(-0.993692\pi\)
0.999804 0.0198157i \(-0.00630795\pi\)
\(648\) 3.75312e13 + 2.16686e13i 0.328486 + 0.189652i
\(649\) −1.15983e14 −1.00733
\(650\) 1.73859e14 + 1.00377e14i 1.49841 + 0.865106i
\(651\) −3.90375e13 + 6.76150e13i −0.333870 + 0.578280i
\(652\) 6.73360e13 3.88765e13i 0.571491 0.329951i
\(653\) 5.61504e12i 0.0472919i 0.999720 + 0.0236460i \(0.00752745\pi\)
−0.999720 + 0.0236460i \(0.992473\pi\)
\(654\) −2.77649e13 4.80903e13i −0.232064 0.401947i
\(655\) 1.30289e13 2.25666e13i 0.108069 0.187180i
\(656\) 1.51616e14 1.24803
\(657\) −8.86707e12 5.11941e12i −0.0724358 0.0418208i
\(658\) −2.27718e13 3.94419e13i −0.184615 0.319763i
\(659\) 5.94994e13 + 1.03056e14i 0.478724 + 0.829174i 0.999702 0.0243956i \(-0.00776614\pi\)
−0.520978 + 0.853570i \(0.674433\pi\)
\(660\) 4.71712e12 + 8.17029e12i 0.0376667 + 0.0652406i
\(661\) 6.55469e13 0.519451 0.259726 0.965682i \(-0.416368\pi\)
0.259726 + 0.965682i \(0.416368\pi\)
\(662\) 2.85763e13 + 4.94955e13i 0.224758 + 0.389292i
\(663\) 1.18871e14 6.86301e13i 0.927914 0.535731i
\(664\) −4.20160e13 2.42579e13i −0.325517 0.187937i
\(665\) −8.43632e12 4.87071e12i −0.0648701 0.0374528i
\(666\) −7.92699e12 −0.0604974
\(667\) 5.84429e13i 0.442693i
\(668\) −2.53558e13 + 4.39176e13i −0.190632 + 0.330184i
\(669\) 6.31687e13 1.09411e14i 0.471380 0.816455i
\(670\) −1.25929e13 2.18115e13i −0.0932720 0.161552i
\(671\) −9.70695e13 + 5.60431e13i −0.713625 + 0.412012i
\(672\) 5.50517e13i 0.401721i
\(673\) 5.31156e13 3.06663e13i 0.384722 0.222119i −0.295149 0.955451i \(-0.595369\pi\)
0.679871 + 0.733332i \(0.262036\pi\)
\(674\) 1.26247e14 7.28886e13i 0.907655 0.524035i
\(675\) 1.24059e14 7.16255e13i 0.885339 0.511151i
\(676\) 4.17196e13 7.22604e13i 0.295533 0.511879i
\(677\) 1.17036e14i 0.822954i 0.911420 + 0.411477i \(0.134987\pi\)
−0.911420 + 0.411477i \(0.865013\pi\)
\(678\) 1.77093e14 + 1.02245e14i 1.23610 + 0.713662i
\(679\) −2.36155e13 + 1.36344e13i −0.163625 + 0.0944687i
\(680\) −8.13515e12 −0.0559527
\(681\) −6.46463e13 1.11971e14i −0.441376 0.764485i
\(682\) 2.41697e14 + 1.39544e14i 1.63813 + 0.945776i
\(683\) −8.62976e13 + 1.49472e14i −0.580624 + 1.00567i 0.414781 + 0.909921i \(0.363858\pi\)
−0.995405 + 0.0957495i \(0.969475\pi\)
\(684\) 1.43346e13i 0.0957428i
\(685\) 1.43228e13 2.48078e13i 0.0949674 0.164488i
\(686\) −1.35863e14 −0.894294
\(687\) 1.48098e14i 0.967756i
\(688\) −9.05810e13 1.65346e14i −0.587618 1.07264i
\(689\) −3.41655e14 −2.20035
\(690\) 4.24095e13i 0.271155i
\(691\) 2.13896e14 + 1.23493e14i 1.35773 + 0.783883i 0.989317 0.145781i \(-0.0465694\pi\)
0.368409 + 0.929664i \(0.379903\pi\)
\(692\) 3.08122e13 0.194174
\(693\) −4.44759e12 2.56782e12i −0.0278265 0.0160656i
\(694\) −1.24352e14 + 2.15384e14i −0.772425 + 1.33788i
\(695\) 3.66557e13 2.11632e13i 0.226057 0.130514i
\(696\) 2.06665e13i 0.126538i
\(697\) −6.94142e13 1.20229e14i −0.421973 0.730879i
\(698\) −1.30311e14 + 2.25705e14i −0.786509 + 1.36227i
\(699\) 1.16929e14 0.700708
\(700\) 3.51278e13 + 2.02810e13i 0.209007 + 0.120670i
\(701\) −8.31881e13 1.44086e14i −0.491441 0.851201i 0.508510 0.861056i \(-0.330196\pi\)
−0.999951 + 0.00985507i \(0.996863\pi\)
\(702\) −1.58409e14 2.74372e14i −0.929166 1.60936i
\(703\) 4.63229e13 + 8.02336e13i 0.269786 + 0.467283i
\(704\) 3.37796e13 0.195340
\(705\) 9.84795e12 + 1.70571e13i 0.0565458 + 0.0979401i
\(706\) 1.25181e14 7.22732e13i 0.713698 0.412054i
\(707\) 7.41087e13 + 4.27867e13i 0.419539 + 0.242221i
\(708\) −1.26029e14 7.27631e13i −0.708444 0.409020i
\(709\) 2.23812e14 1.24926 0.624630 0.780921i \(-0.285250\pi\)
0.624630 + 0.780921i \(0.285250\pi\)
\(710\) 1.29936e13i 0.0720176i
\(711\) −2.24026e12 + 3.88025e12i −0.0123297 + 0.0213556i
\(712\) −3.27743e13 + 5.67668e13i −0.179116 + 0.310238i
\(713\) 2.50351e14 + 4.33621e14i 1.35863 + 2.35322i
\(714\) 6.01790e13 3.47444e13i 0.324305 0.187238i
\(715\) 3.09196e13i 0.165464i
\(716\) −9.56956e13 + 5.52499e13i −0.508542 + 0.293607i
\(717\) −1.65897e14 + 9.57804e13i −0.875471 + 0.505453i
\(718\) −1.07991e14 + 6.23487e13i −0.565934 + 0.326742i
\(719\) 2.90709e12 5.03523e12i 0.0151292 0.0262045i −0.858362 0.513045i \(-0.828517\pi\)
0.873491 + 0.486841i \(0.161851\pi\)
\(720\) 4.13655e12i 0.0213784i
\(721\) −1.38732e13 8.00969e12i −0.0712033 0.0411092i
\(722\) −1.44351e14 + 8.33413e13i −0.735758 + 0.424790i
\(723\) 1.11435e14 0.564065
\(724\) 5.05546e13 + 8.75631e13i 0.254137 + 0.440178i
\(725\) 5.24547e13 + 3.02847e13i 0.261875 + 0.151194i
\(726\) −4.97705e13 + 8.62051e13i −0.246768 + 0.427415i
\(727\) 8.89153e13i 0.437829i 0.975744 + 0.218914i \(0.0702516\pi\)
−0.975744 + 0.218914i \(0.929748\pi\)
\(728\) −2.26793e13 + 3.92817e13i −0.110910 + 0.192103i
\(729\) −2.23489e14 −1.08547
\(730\) 3.12075e13i 0.150537i
\(731\) −8.96463e13 + 1.47530e14i −0.429483 + 0.706793i
\(732\) −1.40636e14 −0.669179
\(733\) 3.44081e14i 1.62608i −0.582210 0.813039i \(-0.697812\pi\)
0.582210 0.813039i \(-0.302188\pi\)
\(734\) 1.75634e14 + 1.01402e14i 0.824380 + 0.475956i
\(735\) 2.71883e13 0.126749
\(736\) 3.05752e14 + 1.76526e14i 1.41573 + 0.817371i
\(737\) −7.75917e13 + 1.34393e14i −0.356843 + 0.618071i
\(738\) −2.79351e13 + 1.61283e13i −0.127605 + 0.0736729i
\(739\) 3.60864e14i 1.63727i −0.574313 0.818636i \(-0.694731\pi\)
0.574313 0.818636i \(-0.305269\pi\)
\(740\) 4.82138e12 + 8.35087e12i 0.0217276 + 0.0376334i
\(741\) −1.86369e14 + 3.22801e14i −0.834224 + 1.44492i
\(742\) −1.72965e14 −0.769022
\(743\) −4.82486e13 2.78563e13i −0.213079 0.123021i 0.389663 0.920958i \(-0.372592\pi\)
−0.602741 + 0.797937i \(0.705925\pi\)
\(744\) −8.85287e13 1.53336e14i −0.388347 0.672636i
\(745\) 1.47986e13 + 2.56319e13i 0.0644820 + 0.111686i
\(746\) −7.33669e13 1.27075e14i −0.317546 0.550005i
\(747\) 2.25887e13 0.0971153
\(748\) −4.95674e13 8.58533e13i −0.211684 0.366648i
\(749\) 1.01979e14 5.88777e13i 0.432615 0.249771i
\(750\) −7.70795e13 4.45019e13i −0.324813 0.187531i
\(751\) 3.05212e14 + 1.76214e14i 1.27762 + 0.737636i 0.976411 0.215922i \(-0.0692756\pi\)
0.301212 + 0.953557i \(0.402609\pi\)
\(752\) 2.26028e14 0.939880
\(753\) 2.42146e14i 1.00024i
\(754\) 6.69783e13 1.16010e14i 0.274839 0.476034i
\(755\) −3.60444e13 + 6.24307e13i −0.146927 + 0.254486i
\(756\) −3.20061e13 5.54362e13i −0.129606 0.224483i
\(757\) 7.71255e13 4.45284e13i 0.310255 0.179126i −0.336786 0.941581i \(-0.609340\pi\)
0.647041 + 0.762456i \(0.276006\pi\)
\(758\) 9.23522e13i 0.369063i
\(759\) 2.26299e14 1.30654e14i 0.898409 0.518697i
\(760\) 1.91318e13 1.10457e13i 0.0754548 0.0435639i
\(761\) 4.02739e14 2.32521e14i 1.57797 0.911044i 0.582833 0.812592i \(-0.301944\pi\)
0.995142 0.0984520i \(-0.0313891\pi\)