Properties

Label 43.11.d.a.7.11
Level 43
Weight 11
Character 43.7
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 7.11
Character \(\chi\) \(=\) 43.7
Dual form 43.11.d.a.37.26

$q$-expansion

\(f(q)\) \(=\) \(q-28.8579i q^{2} +(-341.461 + 197.142i) q^{3} +191.221 q^{4} +(-978.980 + 565.214i) q^{5} +(5689.12 + 9853.84i) q^{6} +(-26555.4 - 15331.8i) q^{7} -35068.7i q^{8} +(48205.7 - 83494.7i) q^{9} +O(q^{10})\) \(q-28.8579i q^{2} +(-341.461 + 197.142i) q^{3} +191.221 q^{4} +(-978.980 + 565.214i) q^{5} +(5689.12 + 9853.84i) q^{6} +(-26555.4 - 15331.8i) q^{7} -35068.7i q^{8} +(48205.7 - 83494.7i) q^{9} +(16310.9 + 28251.3i) q^{10} -168355. q^{11} +(-65294.3 + 37697.7i) q^{12} +(13790.3 - 23885.4i) q^{13} +(-442443. + 766334. i) q^{14} +(222855. - 385997. i) q^{15} -816201. q^{16} +(-135662. + 234973. i) q^{17} +(-2.40948e6 - 1.39112e6i) q^{18} +(-440585. + 254372. i) q^{19} +(-187201. + 108081. i) q^{20} +1.20902e7 q^{21} +4.85836e6i q^{22} +(-710071. - 1.22988e6i) q^{23} +(6.91353e6 + 1.19746e7i) q^{24} +(-4.24388e6 + 7.35061e6i) q^{25} +(-689284. - 397958. i) q^{26} +1.47314e7i q^{27} +(-5.07794e6 - 2.93175e6i) q^{28} +(3.31769e7 + 1.91547e7i) q^{29} +(-1.11391e7 - 6.43114e6i) q^{30} +(-1.15422e7 - 1.99917e7i) q^{31} -1.23565e7i q^{32} +(5.74865e7 - 3.31898e7i) q^{33} +(6.78084e6 + 3.91492e6i) q^{34} +3.46629e7 q^{35} +(9.21793e6 - 1.59659e7i) q^{36} +(8.72706e7 - 5.03857e7i) q^{37} +(7.34065e6 + 1.27144e7i) q^{38} +1.08746e7i q^{39} +(1.98214e7 + 3.43316e7i) q^{40} -1.78315e8 q^{41} -3.48897e8i q^{42} +(2.30803e7 + 1.45185e8i) q^{43} -3.21929e7 q^{44} +1.08986e8i q^{45} +(-3.54918e7 + 2.04912e7i) q^{46} +1.13171e8 q^{47} +(2.78700e8 - 1.60908e8i) q^{48} +(3.28889e8 + 5.69652e8i) q^{49} +(2.12123e8 + 1.22469e8i) q^{50} -1.06979e8i q^{51} +(2.63698e6 - 4.56739e6i) q^{52} +(2.03726e8 + 3.52863e8i) q^{53} +4.25118e8 q^{54} +(1.64816e8 - 9.51565e7i) q^{55} +(-5.37666e8 + 9.31264e8i) q^{56} +(1.00295e8 - 1.73716e8i) q^{57} +(5.52765e8 - 9.57416e8i) q^{58} -7.45280e7 q^{59} +(4.26146e7 - 7.38106e7i) q^{60} +(5.23200e8 + 3.02070e8i) q^{61} +(-5.76919e8 + 3.33084e8i) q^{62} +(-2.56024e9 + 1.47816e9i) q^{63} -1.19237e9 q^{64} +3.11778e7i q^{65} +(-9.57789e8 - 1.65894e9i) q^{66} +(-2.78755e8 - 4.82818e8i) q^{67} +(-2.59414e7 + 4.49318e7i) q^{68} +(4.84923e8 + 2.79970e8i) q^{69} -1.00030e9i q^{70} +(1.93644e9 + 1.11800e9i) q^{71} +(-2.92806e9 - 1.69051e9i) q^{72} +(-1.55836e9 - 8.99718e8i) q^{73} +(-1.45403e9 - 2.51845e9i) q^{74} -3.34659e9i q^{75} +(-8.42490e7 + 4.86412e7i) q^{76} +(4.47073e9 + 2.58117e9i) q^{77} +3.13818e8 q^{78} +(8.79229e7 - 1.52287e8i) q^{79} +(7.99044e8 - 4.61328e8i) q^{80} +(-5.76898e7 - 9.99217e7i) q^{81} +5.14581e9i q^{82} +(-3.00323e9 - 5.20174e9i) q^{83} +2.31189e9 q^{84} -3.06712e8i q^{85} +(4.18975e9 - 6.66048e8i) q^{86} -1.51048e10 q^{87} +5.90398e9i q^{88} +(-4.82894e9 + 2.78799e9i) q^{89} +3.14512e9 q^{90} +(-7.32412e8 + 4.22858e8i) q^{91} +(-1.35780e8 - 2.35178e8i) q^{92} +(7.88242e9 + 4.55092e9i) q^{93} -3.26588e9i q^{94} +(2.87549e8 - 4.98050e8i) q^{95} +(2.43600e9 + 4.21927e9i) q^{96} -5.09176e9 q^{97} +(1.64390e10 - 9.49104e9i) q^{98} +(-8.11566e9 + 1.40567e10i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 28.8579i 0.901810i −0.892572 0.450905i \(-0.851101\pi\)
0.892572 0.450905i \(-0.148899\pi\)
\(3\) −341.461 + 197.142i −1.40519 + 0.811285i −0.994919 0.100679i \(-0.967898\pi\)
−0.410269 + 0.911965i \(0.634565\pi\)
\(4\) 191.221 0.186739
\(5\) −978.980 + 565.214i −0.313274 + 0.180869i −0.648390 0.761308i \(-0.724558\pi\)
0.335117 + 0.942177i \(0.391224\pi\)
\(6\) 5689.12 + 9853.84i 0.731625 + 1.26721i
\(7\) −26555.4 15331.8i −1.58002 0.912225i −0.994855 0.101312i \(-0.967696\pi\)
−0.585166 0.810914i \(-0.698971\pi\)
\(8\) 35068.7i 1.07021i
\(9\) 48205.7 83494.7i 0.816368 1.41399i
\(10\) 16310.9 + 28251.3i 0.163109 + 0.282513i
\(11\) −168355. −1.04535 −0.522675 0.852532i \(-0.675066\pi\)
−0.522675 + 0.852532i \(0.675066\pi\)
\(12\) −65294.3 + 37697.7i −0.262403 + 0.151499i
\(13\) 13790.3 23885.4i 0.0371412 0.0643304i −0.846857 0.531820i \(-0.821508\pi\)
0.883998 + 0.467490i \(0.154842\pi\)
\(14\) −442443. + 766334.i −0.822654 + 1.42488i
\(15\) 222855. 385997.i 0.293472 0.508309i
\(16\) −816201. −0.778390
\(17\) −135662. + 234973.i −0.0955462 + 0.165491i −0.909836 0.414967i \(-0.863793\pi\)
0.814290 + 0.580458i \(0.197126\pi\)
\(18\) −2.40948e6 1.39112e6i −1.27515 0.736209i
\(19\) −440585. + 254372.i −0.177935 + 0.102731i −0.586322 0.810078i \(-0.699425\pi\)
0.408387 + 0.912809i \(0.366091\pi\)
\(20\) −187201. + 108081.i −0.0585004 + 0.0337752i
\(21\) 1.20902e7 2.96030
\(22\) 4.85836e6i 0.942707i
\(23\) −710071. 1.22988e6i −0.110322 0.191084i 0.805578 0.592490i \(-0.201855\pi\)
−0.915900 + 0.401406i \(0.868522\pi\)
\(24\) 6.91353e6 + 1.19746e7i 0.868248 + 1.50385i
\(25\) −4.24388e6 + 7.35061e6i −0.434573 + 0.752703i
\(26\) −689284. 397958.i −0.0580138 0.0334943i
\(27\) 1.47314e7i 1.02666i
\(28\) −5.07794e6 2.93175e6i −0.295051 0.170348i
\(29\) 3.31769e7 + 1.91547e7i 1.61751 + 0.933867i 0.987563 + 0.157226i \(0.0502552\pi\)
0.629943 + 0.776641i \(0.283078\pi\)
\(30\) −1.11391e7 6.43114e6i −0.458398 0.264656i
\(31\) −1.15422e7 1.99917e7i −0.403163 0.698299i 0.590943 0.806713i \(-0.298756\pi\)
−0.994106 + 0.108415i \(0.965423\pi\)
\(32\) 1.23565e7i 0.368254i
\(33\) 5.74865e7 3.31898e7i 1.46891 0.848077i
\(34\) 6.78084e6 + 3.91492e6i 0.149241 + 0.0861645i
\(35\) 3.46629e7 0.659972
\(36\) 9.21793e6 1.59659e7i 0.152448 0.264047i
\(37\) 8.72706e7 5.03857e7i 1.25852 0.726605i 0.285731 0.958310i \(-0.407764\pi\)
0.972786 + 0.231705i \(0.0744303\pi\)
\(38\) 7.34065e6 + 1.27144e7i 0.0926438 + 0.160464i
\(39\) 1.08746e7i 0.120528i
\(40\) 1.98214e7 + 3.43316e7i 0.193568 + 0.335269i
\(41\) −1.78315e8 −1.53911 −0.769555 0.638580i \(-0.779522\pi\)
−0.769555 + 0.638580i \(0.779522\pi\)
\(42\) 3.48897e8i 2.66963i
\(43\) 2.30803e7 + 1.45185e8i 0.157000 + 0.987599i
\(44\) −3.21929e7 −0.195208
\(45\) 1.08986e8i 0.590621i
\(46\) −3.54918e7 + 2.04912e7i −0.172321 + 0.0994896i
\(47\) 1.13171e8 0.493453 0.246727 0.969085i \(-0.420645\pi\)
0.246727 + 0.969085i \(0.420645\pi\)
\(48\) 2.78700e8 1.60908e8i 1.09378 0.631496i
\(49\) 3.28889e8 + 5.69652e8i 1.16431 + 2.01664i
\(50\) 2.12123e8 + 1.22469e8i 0.678795 + 0.391902i
\(51\) 1.06979e8i 0.310061i
\(52\) 2.63698e6 4.56739e6i 0.00693571 0.0120130i
\(53\) 2.03726e8 + 3.52863e8i 0.487154 + 0.843776i 0.999891 0.0147700i \(-0.00470161\pi\)
−0.512737 + 0.858546i \(0.671368\pi\)
\(54\) 4.25118e8 0.925851
\(55\) 1.64816e8 9.51565e7i 0.327480 0.189071i
\(56\) −5.37666e8 + 9.31264e8i −0.976275 + 1.69096i
\(57\) 1.00295e8 1.73716e8i 0.166688 0.288713i
\(58\) 5.52765e8 9.57416e8i 0.842171 1.45868i
\(59\) −7.45280e7 −0.104246 −0.0521230 0.998641i \(-0.516599\pi\)
−0.0521230 + 0.998641i \(0.516599\pi\)
\(60\) 4.26146e7 7.38106e7i 0.0548027 0.0949210i
\(61\) 5.23200e8 + 3.02070e8i 0.619468 + 0.357650i 0.776662 0.629918i \(-0.216911\pi\)
−0.157194 + 0.987568i \(0.550245\pi\)
\(62\) −5.76919e8 + 3.33084e8i −0.629733 + 0.363576i
\(63\) −2.56024e9 + 1.47816e9i −2.57976 + 1.48942i
\(64\) −1.19237e9 −1.11048
\(65\) 3.11778e7i 0.0268707i
\(66\) −9.57789e8 1.65894e9i −0.764804 1.32468i
\(67\) −2.78755e8 4.82818e8i −0.206466 0.357610i 0.744133 0.668032i \(-0.232863\pi\)
−0.950599 + 0.310422i \(0.899530\pi\)
\(68\) −2.59414e7 + 4.49318e7i −0.0178422 + 0.0309036i
\(69\) 4.84923e8 + 2.79970e8i 0.310047 + 0.179005i
\(70\) 1.00030e9i 0.595169i
\(71\) 1.93644e9 + 1.11800e9i 1.07328 + 0.619656i 0.929075 0.369892i \(-0.120605\pi\)
0.144202 + 0.989548i \(0.453939\pi\)
\(72\) −2.92806e9 1.69051e9i −1.51327 0.873688i
\(73\) −1.55836e9 8.99718e8i −0.751715 0.434003i 0.0745985 0.997214i \(-0.476232\pi\)
−0.826313 + 0.563211i \(0.809566\pi\)
\(74\) −1.45403e9 2.51845e9i −0.655260 1.13494i
\(75\) 3.34659e9i 1.41025i
\(76\) −8.42490e7 + 4.86412e7i −0.0332274 + 0.0191839i
\(77\) 4.47073e9 + 2.58117e9i 1.65167 + 0.953595i
\(78\) 3.13818e8 0.108694
\(79\) 8.79229e7 1.52287e8i 0.0285737 0.0494911i −0.851385 0.524541i \(-0.824237\pi\)
0.879959 + 0.475050i \(0.157570\pi\)
\(80\) 7.99044e8 4.61328e8i 0.243849 0.140786i
\(81\) −5.76898e7 9.99217e7i −0.0165453 0.0286573i
\(82\) 5.14581e9i 1.38798i
\(83\) −3.00323e9 5.20174e9i −0.762426 1.32056i −0.941597 0.336743i \(-0.890675\pi\)
0.179170 0.983818i \(-0.442659\pi\)
\(84\) 2.31189e9 0.552803
\(85\) 3.06712e8i 0.0691252i
\(86\) 4.18975e9 6.66048e8i 0.890626 0.141584i
\(87\) −1.51048e10 −3.03053
\(88\) 5.90398e9i 1.11875i
\(89\) −4.82894e9 + 2.78799e9i −0.864773 + 0.499277i −0.865608 0.500723i \(-0.833068\pi\)
0.000834978 1.00000i \(0.499734\pi\)
\(90\) 3.14512e9 0.532628
\(91\) −7.32412e8 + 4.22858e8i −0.117368 + 0.0677623i
\(92\) −1.35780e8 2.35178e8i −0.0206014 0.0356827i
\(93\) 7.88242e9 + 4.55092e9i 1.13304 + 0.654160i
\(94\) 3.26588e9i 0.445001i
\(95\) 2.87549e8 4.98050e8i 0.0371616 0.0643658i
\(96\) 2.43600e9 + 4.21927e9i 0.298759 + 0.517465i
\(97\) −5.09176e9 −0.592938 −0.296469 0.955043i \(-0.595809\pi\)
−0.296469 + 0.955043i \(0.595809\pi\)
\(98\) 1.64390e10 9.49104e9i 1.81863 1.04999i
\(99\) −8.11566e9 + 1.40567e10i −0.853390 + 1.47812i
\(100\) −8.11517e8 + 1.40559e9i −0.0811517 + 0.140559i
\(101\) 9.40004e9 1.62813e10i 0.894381 1.54911i 0.0598126 0.998210i \(-0.480950\pi\)
0.834569 0.550904i \(-0.185717\pi\)
\(102\) −3.08719e9 −0.279616
\(103\) 6.78404e9 1.17503e10i 0.585198 1.01359i −0.409653 0.912241i \(-0.634350\pi\)
0.994851 0.101351i \(-0.0323164\pi\)
\(104\) −8.37632e8 4.83607e8i −0.0688473 0.0397490i
\(105\) −1.18360e10 + 6.83353e9i −0.927384 + 0.535425i
\(106\) 1.01829e10 5.87910e9i 0.760925 0.439321i
\(107\) −1.30675e10 −0.931696 −0.465848 0.884865i \(-0.654251\pi\)
−0.465848 + 0.884865i \(0.654251\pi\)
\(108\) 2.81695e9i 0.191717i
\(109\) 6.52898e9 + 1.13085e10i 0.424339 + 0.734977i 0.996358 0.0852633i \(-0.0271732\pi\)
−0.572019 + 0.820240i \(0.693840\pi\)
\(110\) −2.74602e9 4.75624e9i −0.170506 0.295325i
\(111\) −1.98663e10 + 3.44094e10i −1.17897 + 2.04203i
\(112\) 2.16745e10 + 1.25138e10i 1.22987 + 0.710067i
\(113\) 9.13002e9i 0.495541i −0.968819 0.247771i \(-0.920302\pi\)
0.968819 0.247771i \(-0.0796979\pi\)
\(114\) −5.01308e9 2.89430e9i −0.260364 0.150321i
\(115\) 1.39029e9 + 8.02685e8i 0.0691220 + 0.0399076i
\(116\) 6.34411e9 + 3.66277e9i 0.302051 + 0.174389i
\(117\) −1.32954e9 2.30283e9i −0.0606418 0.105035i
\(118\) 2.15072e9i 0.0940101i
\(119\) 7.20512e9 4.15988e9i 0.301930 0.174319i
\(120\) −1.35364e10 7.81526e9i −0.543998 0.314078i
\(121\) 2.40586e9 0.0927564
\(122\) 8.71710e9 1.50985e10i 0.322532 0.558642i
\(123\) 6.08877e10 3.51535e10i 2.16274 1.24866i
\(124\) −2.20711e9 3.82283e9i −0.0752862 0.130400i
\(125\) 2.06341e10i 0.676140i
\(126\) 4.26565e10 + 7.38833e10i 1.34318 + 2.32645i
\(127\) 4.91769e10 1.48848 0.744240 0.667913i \(-0.232812\pi\)
0.744240 + 0.667913i \(0.232812\pi\)
\(128\) 2.17563e10i 0.633192i
\(129\) −3.65032e10 4.50250e10i −1.02184 1.26039i
\(130\) 8.99727e8 0.0242323
\(131\) 4.46785e10i 1.15809i 0.815296 + 0.579045i \(0.196574\pi\)
−0.815296 + 0.579045i \(0.803426\pi\)
\(132\) 1.09926e10 6.34658e9i 0.274303 0.158369i
\(133\) 1.55999e10 0.374855
\(134\) −1.39331e10 + 8.04429e9i −0.322496 + 0.186193i
\(135\) −8.32642e9 1.44218e10i −0.185690 0.321625i
\(136\) 8.24022e9 + 4.75749e9i 0.177111 + 0.102255i
\(137\) 4.60215e10i 0.953581i −0.879017 0.476790i \(-0.841800\pi\)
0.879017 0.476790i \(-0.158200\pi\)
\(138\) 8.07936e9 1.39939e10i 0.161429 0.279603i
\(139\) −9.21087e9 1.59537e10i −0.177512 0.307459i 0.763516 0.645789i \(-0.223471\pi\)
−0.941028 + 0.338330i \(0.890138\pi\)
\(140\) 6.62827e9 0.123242
\(141\) −3.86434e10 + 2.23108e10i −0.693394 + 0.400331i
\(142\) 3.22632e10 5.58815e10i 0.558812 0.967891i
\(143\) −2.32166e9 + 4.02122e9i −0.0388255 + 0.0672478i
\(144\) −3.93455e10 + 6.81485e10i −0.635452 + 1.10064i
\(145\) −4.33060e10 −0.675629
\(146\) −2.59640e10 + 4.49710e10i −0.391388 + 0.677904i
\(147\) −2.24605e11 1.29676e11i −3.27215 1.88918i
\(148\) 1.66879e10 9.63479e9i 0.235014 0.135686i
\(149\) 1.72500e10 9.95930e9i 0.234887 0.135612i −0.377938 0.925831i \(-0.623367\pi\)
0.612824 + 0.790219i \(0.290033\pi\)
\(150\) −9.65757e10 −1.27178
\(151\) 1.24213e11i 1.58228i 0.611634 + 0.791141i \(0.290513\pi\)
−0.611634 + 0.791141i \(0.709487\pi\)
\(152\) 8.92051e9 + 1.54508e10i 0.109944 + 0.190429i
\(153\) 1.30794e10 + 2.26541e10i 0.156002 + 0.270203i
\(154\) 7.44873e10 1.29016e11i 0.859961 1.48950i
\(155\) 2.25992e10 + 1.30476e10i 0.252601 + 0.145839i
\(156\) 2.07945e9i 0.0225074i
\(157\) 8.59536e10 + 4.96253e10i 0.901085 + 0.520242i 0.877552 0.479481i \(-0.159175\pi\)
0.0235332 + 0.999723i \(0.492508\pi\)
\(158\) −4.39468e9 2.53727e9i −0.0446315 0.0257680i
\(159\) −1.39129e11 8.03259e10i −1.36909 0.790442i
\(160\) 6.98409e9 + 1.20968e10i 0.0666055 + 0.115364i
\(161\) 4.35466e10i 0.402555i
\(162\) −2.88353e9 + 1.66481e9i −0.0258434 + 0.0149207i
\(163\) 1.57169e10 + 9.07414e9i 0.136593 + 0.0788619i 0.566739 0.823897i \(-0.308205\pi\)
−0.430146 + 0.902759i \(0.641538\pi\)
\(164\) −3.40976e10 −0.287412
\(165\) −3.75187e10 + 6.49844e10i −0.306781 + 0.531360i
\(166\) −1.50111e11 + 8.66669e10i −1.19089 + 0.687564i
\(167\) −3.28341e10 5.68704e10i −0.252780 0.437828i 0.711510 0.702676i \(-0.248012\pi\)
−0.964290 + 0.264848i \(0.914678\pi\)
\(168\) 4.23987e11i 3.16815i
\(169\) 6.85489e10 + 1.18730e11i 0.497241 + 0.861247i
\(170\) −8.85108e9 −0.0623378
\(171\) 4.90487e10i 0.335465i
\(172\) 4.41342e9 + 2.77624e10i 0.0293179 + 0.184423i
\(173\) −6.52892e10 −0.421319 −0.210659 0.977560i \(-0.567561\pi\)
−0.210659 + 0.977560i \(0.567561\pi\)
\(174\) 4.35893e11i 2.73296i
\(175\) 2.25396e11 1.30132e11i 1.37327 0.792857i
\(176\) 1.37411e11 0.813689
\(177\) 2.54484e10 1.46926e10i 0.146485 0.0845733i
\(178\) 8.04556e10 + 1.39353e11i 0.450253 + 0.779860i
\(179\) −1.27163e11 7.34177e10i −0.691984 0.399517i 0.112371 0.993666i \(-0.464156\pi\)
−0.804355 + 0.594149i \(0.797489\pi\)
\(180\) 2.08404e10i 0.110292i
\(181\) −1.54332e11 + 2.67310e11i −0.794442 + 1.37601i 0.128750 + 0.991677i \(0.458903\pi\)
−0.923193 + 0.384337i \(0.874430\pi\)
\(182\) 1.22028e10 + 2.11359e10i 0.0611087 + 0.105843i
\(183\) −2.38203e11 −1.16062
\(184\) −4.31303e10 + 2.49013e10i −0.204500 + 0.118068i
\(185\) −5.69574e10 + 9.86531e10i −0.262840 + 0.455252i
\(186\) 1.31330e11 2.27470e11i 0.589928 1.02179i
\(187\) 2.28393e10 3.95589e10i 0.0998792 0.172996i
\(188\) 2.16406e10 0.0921469
\(189\) 2.25859e11 3.91199e11i 0.936544 1.62214i
\(190\) −1.43727e10 8.29808e9i −0.0580457 0.0335127i
\(191\) 3.83328e11 2.21314e11i 1.50801 0.870648i 0.508050 0.861327i \(-0.330366\pi\)
0.999957 0.00932080i \(-0.00296694\pi\)
\(192\) 4.07148e11 2.35067e11i 1.56044 0.900920i
\(193\) −1.85945e11 −0.694383 −0.347191 0.937794i \(-0.612865\pi\)
−0.347191 + 0.937794i \(0.612865\pi\)
\(194\) 1.46937e11i 0.534717i
\(195\) −6.14647e9 1.06460e10i −0.0217998 0.0377584i
\(196\) 6.28903e10 + 1.08929e11i 0.217422 + 0.376586i
\(197\) −4.31902e10 + 7.48077e10i −0.145564 + 0.252125i −0.929583 0.368612i \(-0.879833\pi\)
0.784019 + 0.620737i \(0.213166\pi\)
\(198\) 4.05648e11 + 2.34201e11i 1.33298 + 0.769596i
\(199\) 1.97433e11i 0.632638i −0.948653 0.316319i \(-0.897553\pi\)
0.948653 0.316319i \(-0.102447\pi\)
\(200\) 2.57777e11 + 1.48827e11i 0.805552 + 0.465086i
\(201\) 1.90368e11 + 1.09909e11i 0.580247 + 0.335006i
\(202\) −4.69846e11 2.71265e11i −1.39701 0.806562i
\(203\) −5.87351e11 1.01732e12i −1.70379 2.95106i
\(204\) 2.04566e10i 0.0579005i
\(205\) 1.74567e11 1.00786e11i 0.482163 0.278377i
\(206\) −3.39089e11 1.95773e11i −0.914067 0.527737i
\(207\) −1.36918e11 −0.360254
\(208\) −1.12556e10 + 1.94953e10i −0.0289103 + 0.0500741i
\(209\) 7.41746e10 4.28247e10i 0.186005 0.107390i
\(210\) 1.97202e11 + 3.41563e11i 0.482852 + 0.836324i
\(211\) 4.83325e11i 1.15565i 0.816160 + 0.577825i \(0.196099\pi\)
−0.816160 + 0.577825i \(0.803901\pi\)
\(212\) 3.89566e10 + 6.74748e10i 0.0909707 + 0.157566i
\(213\) −8.81622e11 −2.01087
\(214\) 3.77101e11i 0.840212i
\(215\) −1.04656e11 1.29088e11i −0.227809 0.280992i
\(216\) 5.16613e11 1.09874
\(217\) 7.07850e11i 1.47110i
\(218\) 3.26341e11 1.88413e11i 0.662809 0.382673i
\(219\) 7.09490e11 1.40840
\(220\) 3.15162e10 1.81959e10i 0.0611534 0.0353069i
\(221\) 3.74163e9 + 6.48069e9i 0.00709740 + 0.0122931i
\(222\) 9.92985e11 + 5.73300e11i 1.84153 + 1.06321i
\(223\) 8.23103e11i 1.49255i 0.665636 + 0.746277i \(0.268160\pi\)
−0.665636 + 0.746277i \(0.731840\pi\)
\(224\) −1.89448e11 + 3.28133e11i −0.335930 + 0.581848i
\(225\) 4.09158e11 + 7.08683e11i 0.709543 + 1.22896i
\(226\) −2.63473e11 −0.446884
\(227\) 5.71787e11 3.30121e11i 0.948648 0.547702i 0.0559870 0.998431i \(-0.482169\pi\)
0.892661 + 0.450730i \(0.148836\pi\)
\(228\) 1.91785e10 3.32181e10i 0.0311272 0.0539139i
\(229\) 1.53037e11 2.65067e11i 0.243007 0.420900i −0.718563 0.695462i \(-0.755200\pi\)
0.961569 + 0.274562i \(0.0885330\pi\)
\(230\) 2.31638e10 4.01209e10i 0.0359891 0.0623349i
\(231\) −2.03544e12 −3.09455
\(232\) 6.71731e11 1.16347e12i 0.999437 1.73108i
\(233\) 5.83954e11 + 3.37146e11i 0.850353 + 0.490952i 0.860770 0.508994i \(-0.169983\pi\)
−0.0104168 + 0.999946i \(0.503316\pi\)
\(234\) −6.64548e10 + 3.83677e10i −0.0947212 + 0.0546873i
\(235\) −1.10792e11 + 6.39659e10i −0.154586 + 0.0892502i
\(236\) −1.42513e10 −0.0194668
\(237\) 6.93333e10i 0.0927257i
\(238\) −1.20045e11 2.07925e11i −0.157203 0.272283i
\(239\) −3.14002e11 5.43868e11i −0.402664 0.697435i 0.591382 0.806391i \(-0.298582\pi\)
−0.994047 + 0.108956i \(0.965249\pi\)
\(240\) −1.81895e11 + 3.15051e11i −0.228436 + 0.395662i
\(241\) 9.69305e11 + 5.59628e11i 1.19227 + 0.688358i 0.958821 0.284011i \(-0.0916651\pi\)
0.233450 + 0.972369i \(0.424998\pi\)
\(242\) 6.94282e10i 0.0836486i
\(243\) −7.13937e11 4.12192e11i −0.842614 0.486483i
\(244\) 1.00047e11 + 5.77620e10i 0.115679 + 0.0667872i
\(245\) −6.43951e11 3.71785e11i −0.729495 0.421174i
\(246\) −1.01446e12 1.75709e12i −1.12605 1.95038i
\(247\) 1.40314e10i 0.0152622i
\(248\) −7.01084e11 + 4.04771e11i −0.747328 + 0.431470i
\(249\) 2.05097e12 + 1.18413e12i 2.14270 + 1.23709i
\(250\) −5.95458e11 −0.609749
\(251\) −7.97715e11 + 1.38168e12i −0.800717 + 1.38688i 0.118428 + 0.992963i \(0.462215\pi\)
−0.919145 + 0.393920i \(0.871119\pi\)
\(252\) −4.89572e11 + 2.82654e11i −0.481741 + 0.278133i
\(253\) 1.19544e11 + 2.07056e11i 0.115325 + 0.199749i
\(254\) 1.41914e12i 1.34233i
\(255\) 6.04660e10 + 1.04730e11i 0.0560803 + 0.0971339i
\(256\) −5.93148e11 −0.539465
\(257\) 2.90973e11i 0.259530i −0.991545 0.129765i \(-0.958578\pi\)
0.991545 0.129765i \(-0.0414223\pi\)
\(258\) −1.29933e12 + 1.05341e12i −1.13663 + 0.921504i
\(259\) −3.09001e12 −2.65131
\(260\) 5.96185e9i 0.00501781i
\(261\) 3.19863e12 1.84673e12i 2.64096 1.52476i
\(262\) 1.28933e12 1.04438
\(263\) 5.97399e11 3.44909e11i 0.474773 0.274110i −0.243463 0.969910i \(-0.578283\pi\)
0.718236 + 0.695800i \(0.244950\pi\)
\(264\) −1.16393e12 2.01598e12i −0.907623 1.57205i
\(265\) −3.98887e11 2.30297e11i −0.305225 0.176222i
\(266\) 4.50180e11i 0.338048i
\(267\) 1.09926e12 1.90398e12i 0.810112 1.40315i
\(268\) −5.33037e10 9.23248e10i −0.0385553 0.0667797i
\(269\) −2.69408e12 −1.91271 −0.956354 0.292210i \(-0.905609\pi\)
−0.956354 + 0.292210i \(0.905609\pi\)
\(270\) −4.16182e11 + 2.40283e11i −0.290045 + 0.167457i
\(271\) 1.21722e11 2.10829e11i 0.0832768 0.144240i −0.821379 0.570383i \(-0.806795\pi\)
0.904656 + 0.426143i \(0.140128\pi\)
\(272\) 1.10727e11 1.91785e11i 0.0743722 0.128816i
\(273\) 1.66727e11 2.88779e11i 0.109949 0.190437i
\(274\) −1.32808e12 −0.859949
\(275\) 7.14477e11 1.23751e12i 0.454281 0.786838i
\(276\) 9.27272e10 + 5.35361e10i 0.0578978 + 0.0334273i
\(277\) −1.16321e12 + 6.71578e11i −0.713277 + 0.411811i −0.812273 0.583277i \(-0.801770\pi\)
0.0989961 + 0.995088i \(0.468437\pi\)
\(278\) −4.60391e11 + 2.65807e11i −0.277270 + 0.160082i
\(279\) −2.22560e12 −1.31652
\(280\) 1.21559e12i 0.706310i
\(281\) 1.02661e12 + 1.77815e12i 0.585971 + 1.01493i 0.994754 + 0.102299i \(0.0326199\pi\)
−0.408783 + 0.912632i \(0.634047\pi\)
\(282\) 6.43843e11 + 1.11517e12i 0.361023 + 0.625310i
\(283\) −2.60669e11 + 4.51492e11i −0.143601 + 0.248724i −0.928850 0.370456i \(-0.879202\pi\)
0.785249 + 0.619180i \(0.212535\pi\)
\(284\) 3.70287e11 + 2.13785e11i 0.200423 + 0.115714i
\(285\) 2.26753e11i 0.120595i
\(286\) 1.16044e11 + 6.69981e10i 0.0606447 + 0.0350133i
\(287\) 4.73524e12 + 2.73389e12i 2.43183 + 1.40402i
\(288\) −1.03171e12 5.95656e11i −0.520707 0.300630i
\(289\) 9.71189e11 + 1.68215e12i 0.481742 + 0.834401i
\(290\) 1.24972e12i 0.609289i
\(291\) 1.73863e12 1.00380e12i 0.833188 0.481042i
\(292\) −2.97990e11 1.72045e11i −0.140374 0.0810452i
\(293\) 3.75739e12 1.73999 0.869997 0.493057i \(-0.164121\pi\)
0.869997 + 0.493057i \(0.164121\pi\)
\(294\) −3.74217e12 + 6.48163e12i −1.70368 + 2.95085i
\(295\) 7.29615e10 4.21243e10i 0.0326575 0.0188548i
\(296\) −1.76696e12 3.06047e12i −0.777622 1.34688i
\(297\) 2.48010e12i 1.07322i
\(298\) −2.87405e11 4.97800e11i −0.122296 0.211823i
\(299\) −3.91683e10 −0.0163900
\(300\) 6.39938e11i 0.263349i
\(301\) 1.61304e12 4.20932e12i 0.652850 1.70365i
\(302\) 3.58454e12 1.42692
\(303\) 7.41258e12i 2.90239i
\(304\) 3.59606e11 2.07619e11i 0.138503 0.0799647i
\(305\) −6.82936e11 −0.258750
\(306\) 6.53751e11 3.77443e11i 0.243672 0.140684i
\(307\) 1.49589e12 + 2.59095e12i 0.548538 + 0.950096i 0.998375 + 0.0569855i \(0.0181489\pi\)
−0.449837 + 0.893111i \(0.648518\pi\)
\(308\) 8.54895e11 + 4.93574e11i 0.308432 + 0.178073i
\(309\) 5.34969e12i 1.89905i
\(310\) 3.76528e11 6.52166e11i 0.131519 0.227798i
\(311\) −1.17477e12 2.03476e12i −0.403786 0.699377i 0.590394 0.807115i \(-0.298972\pi\)
−0.994179 + 0.107738i \(0.965639\pi\)
\(312\) 3.81358e11 0.128991
\(313\) −2.57247e12 + 1.48521e12i −0.856305 + 0.494388i −0.862773 0.505591i \(-0.831274\pi\)
0.00646847 + 0.999979i \(0.497941\pi\)
\(314\) 1.43208e12 2.48044e12i 0.469159 0.812608i
\(315\) 1.67095e12 2.89417e12i 0.538780 0.933194i
\(316\) 1.68127e10 2.91204e10i 0.00533582 0.00924191i
\(317\) 1.97118e12 0.615787 0.307894 0.951421i \(-0.400376\pi\)
0.307894 + 0.951421i \(0.400376\pi\)
\(318\) −2.31804e12 + 4.01496e12i −0.712829 + 1.23466i
\(319\) −5.58549e12 3.22478e12i −1.69086 0.976218i
\(320\) 1.16731e12 6.73946e11i 0.347885 0.200852i
\(321\) 4.46204e12 2.57616e12i 1.30921 0.755871i
\(322\) 1.25666e12 0.363028
\(323\) 1.38034e11i 0.0392622i
\(324\) −1.10315e10 1.91071e10i −0.00308965 0.00535143i
\(325\) 1.17048e11 + 2.02734e11i 0.0322811 + 0.0559126i
\(326\) 2.61861e11 4.53556e11i 0.0711184 0.123181i
\(327\) −4.45878e12 2.57428e12i −1.19255 0.688520i
\(328\) 6.25330e12i 1.64718i
\(329\) −3.00530e12 1.73511e12i −0.779666 0.450140i
\(330\) 1.87531e12 + 1.08271e12i 0.479186 + 0.276658i
\(331\) 6.41714e12 + 3.70494e12i 1.61511 + 0.932484i 0.988161 + 0.153423i \(0.0490297\pi\)
0.626948 + 0.779061i \(0.284304\pi\)
\(332\) −5.74279e11 9.94681e11i −0.142375 0.246600i
\(333\) 9.71551e12i 2.37271i
\(334\) −1.64116e12 + 9.47525e11i −0.394838 + 0.227960i
\(335\) 5.45791e11 + 3.15113e11i 0.129361 + 0.0746865i
\(336\) −9.86800e12 −2.30427
\(337\) −7.57813e11 + 1.31257e12i −0.174346 + 0.301976i −0.939935 0.341354i \(-0.889114\pi\)
0.765589 + 0.643330i \(0.222448\pi\)
\(338\) 3.42631e12 1.97818e12i 0.776681 0.448417i
\(339\) 1.79991e12 + 3.11754e12i 0.402025 + 0.696328i
\(340\) 5.86498e10i 0.0129084i
\(341\) 1.94319e12 + 3.36570e12i 0.421446 + 0.729967i
\(342\) 1.41544e12 0.302526
\(343\) 1.15081e13i 2.42400i
\(344\) 5.09147e12 8.09396e11i 1.05694 0.168023i
\(345\) −6.32973e11 −0.129506
\(346\) 1.88411e12i 0.379949i
\(347\) 4.76499e12 2.75107e12i 0.947141 0.546832i 0.0549493 0.998489i \(-0.482500\pi\)
0.892192 + 0.451657i \(0.149167\pi\)
\(348\) −2.88835e12 −0.565918
\(349\) 3.90702e12 2.25572e12i 0.754604 0.435671i −0.0727513 0.997350i \(-0.523178\pi\)
0.827355 + 0.561680i \(0.189845\pi\)
\(350\) −3.75535e12 6.50445e12i −0.715006 1.23843i
\(351\) 3.51867e11 + 2.03150e11i 0.0660454 + 0.0381313i
\(352\) 2.08028e12i 0.384954i
\(353\) 1.93586e12 3.35301e12i 0.353183 0.611732i −0.633622 0.773643i \(-0.718433\pi\)
0.986805 + 0.161911i \(0.0517658\pi\)
\(354\) −4.23999e11 7.34387e11i −0.0762690 0.132102i
\(355\) −2.52764e12 −0.448306
\(356\) −9.23394e11 + 5.33122e11i −0.161487 + 0.0932344i
\(357\) −1.64018e12 + 2.84087e12i −0.282845 + 0.489903i
\(358\) −2.11868e12 + 3.66966e12i −0.360289 + 0.624038i
\(359\) 2.96088e11 5.12840e11i 0.0496534 0.0860022i −0.840130 0.542384i \(-0.817522\pi\)
0.889784 + 0.456382i \(0.150855\pi\)
\(360\) 3.82201e12 0.632090
\(361\) −2.93612e12 + 5.08551e12i −0.478893 + 0.829466i
\(362\) 7.71402e12 + 4.45369e12i 1.24090 + 0.716436i
\(363\) −8.21507e11 + 4.74297e11i −0.130340 + 0.0752519i
\(364\) −1.40052e11 + 8.08593e10i −0.0219171 + 0.0126539i
\(365\) 2.03413e12 0.313990
\(366\) 6.87404e12i 1.04666i
\(367\) 2.40915e12 + 4.17277e12i 0.361854 + 0.626750i 0.988266 0.152742i \(-0.0488105\pi\)
−0.626412 + 0.779492i \(0.715477\pi\)
\(368\) 5.79560e11 + 1.00383e12i 0.0858736 + 0.148737i
\(369\) −8.59582e12 + 1.48884e13i −1.25648 + 2.17629i
\(370\) 2.84692e12 + 1.64367e12i 0.410551 + 0.237032i
\(371\) 1.24939e13i 1.77758i
\(372\) 1.50728e12 + 8.70230e11i 0.211583 + 0.122157i
\(373\) −6.36950e12 3.67743e12i −0.882187 0.509331i −0.0108084 0.999942i \(-0.503440\pi\)
−0.871379 + 0.490610i \(0.836774\pi\)
\(374\) −1.14159e12 6.59095e11i −0.156009 0.0900721i
\(375\) 4.06786e12 + 7.04575e12i 0.548542 + 0.950103i
\(376\) 3.96876e12i 0.528100i
\(377\) 9.15037e11 5.28297e11i 0.120152 0.0693699i
\(378\) −1.12892e13 6.51782e12i −1.46286 0.844585i
\(379\) −1.00278e12 −0.128236 −0.0641180 0.997942i \(-0.520423\pi\)
−0.0641180 + 0.997942i \(0.520423\pi\)
\(380\) 5.49854e10 9.52375e10i 0.00693952 0.0120196i
\(381\) −1.67920e13 + 9.69485e12i −2.09159 + 1.20758i
\(382\) −6.38667e12 1.10620e13i −0.785159 1.35994i
\(383\) 6.17545e12i 0.749333i 0.927160 + 0.374666i \(0.122243\pi\)
−0.927160 + 0.374666i \(0.877757\pi\)
\(384\) −4.28909e12 7.42892e12i −0.513699 0.889754i
\(385\) −5.83567e12 −0.689901
\(386\) 5.36600e12i 0.626201i
\(387\) 1.32348e13 + 5.07168e12i 1.52462 + 0.584248i
\(388\) −9.73649e11 −0.110725
\(389\) 5.05894e12i 0.567952i −0.958831 0.283976i \(-0.908346\pi\)
0.958831 0.283976i \(-0.0916536\pi\)
\(390\) −3.07221e11 + 1.77374e11i −0.0340509 + 0.0196593i
\(391\) 3.85319e11 0.0421635
\(392\) 1.99770e13 1.15337e13i 2.15824 1.24606i
\(393\) −8.80802e12 1.52559e13i −0.939541 1.62733i
\(394\) 2.15879e12 + 1.24638e12i 0.227368 + 0.131271i
\(395\) 1.98781e11i 0.0206723i
\(396\) −1.55188e12 + 2.68794e12i −0.159361 + 0.276022i
\(397\) −5.93473e12 1.02793e13i −0.601795 1.04234i −0.992549 0.121844i \(-0.961119\pi\)
0.390754 0.920495i \(-0.372214\pi\)
\(398\) −5.69751e12 −0.570519
\(399\) −5.32675e12 + 3.07540e12i −0.526742 + 0.304114i
\(400\) 3.46386e12 5.99957e12i 0.338267 0.585896i
\(401\) 9.53042e11 1.65072e12i 0.0919158 0.159203i −0.816401 0.577485i \(-0.804034\pi\)
0.908317 + 0.418282i \(0.137368\pi\)
\(402\) 3.17174e12 5.49362e12i 0.302112 0.523273i
\(403\) −6.36681e11 −0.0598958
\(404\) 1.79748e12 3.11333e12i 0.167016 0.289280i
\(405\) 1.12954e11 + 6.52142e10i 0.0103664 + 0.00598504i
\(406\) −2.93578e13 + 1.69497e13i −2.66129 + 1.53650i
\(407\) −1.46924e13 + 8.48266e12i −1.31559 + 0.759557i
\(408\) −3.75161e12 −0.331831
\(409\) 8.68727e12i 0.759043i 0.925183 + 0.379522i \(0.123911\pi\)
−0.925183 + 0.379522i \(0.876089\pi\)
\(410\) −2.90849e12 5.03765e12i −0.251043 0.434819i
\(411\) 9.07278e12 + 1.57145e13i 0.773626 + 1.33996i
\(412\) 1.29725e12 2.24690e12i 0.109279 0.189277i
\(413\) 1.97912e12 + 1.14265e12i 0.164711 + 0.0950959i
\(414\) 3.95117e12i 0.324880i
\(415\) 5.88020e12 + 3.39493e12i 0.477696 + 0.275798i
\(416\) −2.95141e11 1.70400e11i −0.0236899 0.0136774i
\(417\) 6.29030e12 + 3.63171e12i 0.498874 + 0.288025i
\(418\) −1.23583e12 2.14052e12i −0.0968452 0.167741i
\(419\) 6.39062e12i 0.494849i 0.968907 + 0.247425i \(0.0795843\pi\)
−0.968907 + 0.247425i \(0.920416\pi\)
\(420\) −2.26329e12 + 1.30671e12i −0.173179 + 0.0999848i
\(421\) −4.25742e12 2.45802e12i −0.321911 0.185855i 0.330333 0.943864i \(-0.392839\pi\)
−0.652244 + 0.758009i \(0.726172\pi\)
\(422\) 1.39477e13 1.04218
\(423\) 5.45549e12 9.44918e12i 0.402839 0.697738i
\(424\) 1.23745e13 7.14440e12i 0.903020 0.521359i
\(425\) −1.15147e12 1.99440e12i −0.0830436 0.143836i
\(426\) 2.54418e13i 1.81342i
\(427\) −9.26253e12 1.60432e13i −0.652514 1.13019i
\(428\) −2.49878e12 −0.173984
\(429\) 1.83079e12i 0.125994i
\(430\) −3.72522e12 + 3.02015e12i −0.253402 + 0.205441i
\(431\) −1.32516e13 −0.891010 −0.445505 0.895279i \(-0.646976\pi\)
−0.445505 + 0.895279i \(0.646976\pi\)
\(432\) 1.20238e13i 0.799140i
\(433\) 1.12992e13 6.52362e12i 0.742352 0.428597i −0.0805720 0.996749i \(-0.525675\pi\)
0.822924 + 0.568152i \(0.192341\pi\)
\(434\) 2.04271e13 1.32665
\(435\) 1.47873e13 8.53745e12i 0.949386 0.548128i
\(436\) 1.24848e12 + 2.16242e12i 0.0792406 + 0.137249i
\(437\) 6.25694e11 + 3.61244e11i 0.0392604 + 0.0226670i
\(438\) 2.04744e13i 1.27011i
\(439\) −3.03983e12 + 5.26515e12i −0.186435 + 0.322915i −0.944059 0.329776i \(-0.893027\pi\)
0.757624 + 0.652691i \(0.226360\pi\)
\(440\) −3.33702e12 5.77988e12i −0.202346 0.350474i
\(441\) 6.34173e13 3.80202
\(442\) 1.87019e11 1.07976e11i 0.0110860 0.00640051i
\(443\) −1.38177e13 + 2.39330e13i −0.809875 + 1.40275i 0.103075 + 0.994674i \(0.467132\pi\)
−0.912950 + 0.408072i \(0.866201\pi\)
\(444\) −3.79885e12 + 6.57980e12i −0.220159 + 0.381327i
\(445\) 3.15162e12 5.45877e12i 0.180607 0.312820i
\(446\) 2.37530e13 1.34600
\(447\) −3.92680e12 + 6.80142e12i −0.220040 + 0.381120i
\(448\) 3.16640e13 + 1.82812e13i 1.75459 + 1.01301i
\(449\) −2.90642e12 + 1.67802e12i −0.159268 + 0.0919532i −0.577515 0.816380i \(-0.695978\pi\)
0.418248 + 0.908333i \(0.362644\pi\)
\(450\) 2.04511e13 1.18075e13i 1.10829 0.639873i
\(451\) 3.00202e13 1.60891
\(452\) 1.74585e12i 0.0925369i
\(453\) −2.44877e13 4.24140e13i −1.28368 2.22340i
\(454\) −9.52661e12 1.65006e13i −0.493923 0.855500i
\(455\) 4.78011e11 8.27940e11i 0.0245121 0.0424563i
\(456\) −6.09200e12 3.51722e12i −0.308984 0.178392i
\(457\) 2.55101e13i 1.27977i 0.768472 + 0.639884i \(0.221018\pi\)
−0.768472 + 0.639884i \(0.778982\pi\)
\(458\) −7.64929e12 4.41632e12i −0.379571 0.219146i
\(459\) −3.46149e12 1.99849e12i −0.169903 0.0980934i
\(460\) 2.65852e11 + 1.53490e11i 0.0129078 + 0.00745231i
\(461\) 1.22823e13 + 2.12735e13i 0.589893 + 1.02173i 0.994246 + 0.107122i \(0.0341636\pi\)
−0.404352 + 0.914603i \(0.632503\pi\)
\(462\) 5.87384e13i 2.79070i
\(463\) −3.47412e13 + 2.00578e13i −1.63283 + 0.942712i −0.649610 + 0.760268i \(0.725068\pi\)
−0.983216 + 0.182445i \(0.941599\pi\)
\(464\) −2.70790e13 1.56341e13i −1.25905 0.726913i
\(465\) −1.02890e13 −0.473268
\(466\) 9.72934e12 1.68517e13i 0.442745 0.766857i
\(467\) 8.46691e12 4.88837e12i 0.381189 0.220080i −0.297146 0.954832i \(-0.596035\pi\)
0.678336 + 0.734752i \(0.262702\pi\)
\(468\) −2.54235e11 4.40349e11i −0.0113242 0.0196141i
\(469\) 1.70952e13i 0.753374i
\(470\) 1.84592e12 + 3.19723e12i 0.0804867 + 0.139407i
\(471\) −3.91330e13 −1.68826
\(472\) 2.61360e12i 0.111565i
\(473\) −3.88567e12 2.44426e13i −0.164119 1.03239i
\(474\) 2.00081e12 0.0836209
\(475\) 4.31810e12i 0.178576i
\(476\) 1.37777e12 7.95455e11i 0.0563821 0.0325522i
\(477\) 3.92830e13 1.59079
\(478\) −1.56949e13 + 9.06145e12i −0.628954 + 0.363127i
\(479\) 2.70430e11 + 4.68399e11i 0.0107245 + 0.0185754i 0.871338 0.490684i \(-0.163253\pi\)
−0.860613 + 0.509259i \(0.829920\pi\)
\(480\) −4.76958e12 2.75372e12i −0.187186 0.108072i
\(481\) 2.77933e12i 0.107948i
\(482\) 1.61497e13 2.79721e13i 0.620768 1.07520i
\(483\) −8.58488e12 1.48694e13i −0.326587 0.565665i
\(484\) 4.60051e11 0.0173212
\(485\) 4.98473e12 2.87793e12i 0.185752 0.107244i
\(486\) −1.18950e13 + 2.06027e13i −0.438716 + 0.759878i
\(487\) −2.62916e13 + 4.55384e13i −0.959781 + 1.66239i −0.236753 + 0.971570i \(0.576083\pi\)
−0.723028 + 0.690819i \(0.757250\pi\)
\(488\) 1.05932e13 1.83480e13i 0.382761 0.662962i
\(489\) −7.15559e12 −0.255918
\(490\) −1.07289e13 + 1.85831e13i −0.379819 + 0.657866i
\(491\) −1.26570e13 7.30755e12i −0.443532 0.256073i 0.261563 0.965186i \(-0.415762\pi\)
−0.705095 + 0.709113i \(0.749096\pi\)
\(492\) 1.16430e13 6.72208e12i 0.403868 0.233173i
\(493\) −9.00169e12 + 5.19713e12i −0.309093 + 0.178455i
\(494\) 4.04918e11 0.0137636
\(495\) 1.83483e13i 0.617406i
\(496\) 9.42076e12 + 1.63172e13i 0.313818 + 0.543548i
\(497\) −3.42819e13 5.93780e13i −1.13053 1.95814i
\(498\) 3.41714e13 5.91867e13i 1.11562 1.93231i
\(499\) −4.23819e13 2.44692e13i −1.36986 0.790891i −0.378953 0.925416i \(-0.623716\pi\)
−0.990910 + 0.134525i \(0.957049\pi\)
\(500\) 3.94568e12i 0.126262i
\(501\) 2.24231e13 + 1.29460e13i 0.710407 + 0.410154i
\(502\) 3.98725e13 + 2.30204e13i 1.25070 + 0.722094i
\(503\) −1.29741e13 7.49058e12i −0.402936 0.232635i 0.284814 0.958583i \(-0.408068\pi\)
−0.687750 + 0.725947i \(0.741402\pi\)
\(504\) 5.18371e13 + 8.97845e13i 1.59400 + 2.76089i
\(505\) 2.12521e13i 0.647062i
\(506\) 5.97520e12 3.44978e12i 0.180136 0.104001i
\(507\) −4.68135e13 2.70278e13i −1.39743 0.806809i
\(508\) 9.40365e12 0.277957
\(509\) 1.97585e13 3.42227e13i 0.578316 1.00167i −0.417357 0.908743i \(-0.637043\pi\)
0.995673 0.0929296i \(-0.0296232\pi\)
\(510\) 3.02229e12 1.74492e12i 0.0875963 0.0505738i
\(511\) 2.75886e13 + 4.77848e13i 0.791816 + 1.37147i
\(512\) 3.93955e13i 1.11969i
\(513\) −3.74726e12 6.49045e12i −0.105470 0.182679i
\(514\) −8.39688e12 −0.234046
\(515\) 1.53378e13i 0.423375i
\(516\) −6.98016e12 8.60971e12i −0.190817 0.235364i
\(517\) −1.90529e13 −0.515831
\(518\) 8.91712e13i 2.39098i
\(519\) 2.22937e13 1.28713e13i 0.592032 0.341810i
\(520\) 1.09337e12 0.0287574
\(521\) −5.19189e12 + 2.99754e12i −0.135250 + 0.0780865i −0.566098 0.824338i \(-0.691548\pi\)
0.430848 + 0.902424i \(0.358214\pi\)
\(522\) −5.32928e13 9.23059e13i −1.37504 2.38164i
\(523\) −1.26426e13 7.29920e12i −0.323093 0.186538i 0.329677 0.944094i \(-0.393060\pi\)
−0.652770 + 0.757556i \(0.726393\pi\)
\(524\) 8.54345e12i 0.216260i
\(525\) −5.13092e13 + 8.88701e13i −1.28647 + 2.22823i
\(526\) −9.95335e12 1.72397e13i −0.247195 0.428155i
\(527\) 6.26336e12 0.154083
\(528\) −4.69205e13 + 2.70896e13i −1.14339 + 0.660134i
\(529\) 1.97049e13 3.41298e13i 0.475658 0.823864i
\(530\) −6.64590e12 + 1.15110e13i −0.158919 + 0.275255i
\(531\) −3.59268e12 + 6.22270e12i −0.0851031 + 0.147403i
\(532\) 2.98302e12 0.0700001
\(533\) −2.45902e12 + 4.25914e12i −0.0571644 + 0.0990116i
\(534\) −5.49448e13 3.17224e13i −1.26538 0.730567i
\(535\) 1.27928e13 7.38594e12i 0.291876 0.168514i
\(536\) −1.69318e13 + 9.77559e12i −0.382719 + 0.220963i
\(537\) 5.78949e13 1.29649
\(538\) 7.77455e13i 1.72490i
\(539\) −5.53699e13 9.59035e13i −1.21711 2.10810i
\(540\) −1.59218e12 2.75774e12i −0.0346756 0.0600599i
\(541\) 3.63118e13 6.28939e13i 0.783541 1.35713i −0.146326 0.989236i \(-0.546745\pi\)
0.929867 0.367896i \(-0.119922\pi\)
\(542\) −6.08410e12 3.51266e12i −0.130077 0.0750999i
\(543\) 1.21701e14i 2.57808i
\(544\) 2.90346e12 + 1.67631e12i 0.0609426 + 0.0351852i
\(545\) −1.27835e13 7.38055e12i −0.265868 0.153499i
\(546\) −8.33356e12 4.81138e12i −0.171738 0.0991532i
\(547\) 2.23772e13 + 3.87585e13i 0.456951 + 0.791462i 0.998798 0.0490150i \(-0.0156082\pi\)
−0.541847 + 0.840477i \(0.682275\pi\)
\(548\) 8.80026e12i 0.178071i
\(549\) 5.04425e13 2.91230e13i 1.01143 0.583948i
\(550\) −3.57120e13 2.06183e13i −0.709578 0.409675i
\(551\) −1.94897e13 −0.383748
\(552\) 9.81820e12 1.70056e13i 0.191574 0.331816i
\(553\) −4.66965e12 + 2.69603e12i −0.0902940 + 0.0521313i
\(554\) 1.93803e13 + 3.35677e13i 0.371375 + 0.643240i
\(555\) 4.49149e13i 0.852953i
\(556\) −1.76131e12 3.05068e12i −0.0331483 0.0574146i
\(557\) 3.14009e13 0.585688 0.292844 0.956160i \(-0.405398\pi\)
0.292844 + 0.956160i \(0.405398\pi\)
\(558\) 6.42262e13i 1.18725i
\(559\) 3.78610e12 + 1.45086e12i 0.0693638 + 0.0265807i
\(560\) −2.82919e13 −0.513715
\(561\) 1.80104e13i 0.324122i
\(562\) 5.13137e13 2.96260e13i 0.915275 0.528434i
\(563\) 8.46129e12 0.149587 0.0747936 0.997199i \(-0.476170\pi\)
0.0747936 + 0.997199i \(0.476170\pi\)
\(564\) −7.38943e12 + 4.26629e12i −0.129484 + 0.0747575i
\(565\) 5.16042e12 + 8.93811e12i 0.0896278 + 0.155240i
\(566\) 1.30291e13 + 7.52237e12i 0.224302 + 0.129501i
\(567\) 3.53795e12i 0.0603721i
\(568\) 3.92069e13 6.79084e13i 0.663164 1.14863i
\(569\) −4.21238e13 7.29606e13i −0.706263 1.22328i −0.966234 0.257666i \(-0.917046\pi\)
0.259971 0.965616i \(-0.416287\pi\)
\(570\) 6.54361e12 0.108753
\(571\) −4.59564e13 + 2.65329e13i −0.757122 + 0.437124i −0.828261 0.560342i \(-0.810670\pi\)
0.0711398 + 0.997466i \(0.477336\pi\)
\(572\) −4.43949e11 + 7.68941e11i −0.00725024 + 0.0125578i
\(573\) −8.72609e13 + 1.51140e14i −1.41269 + 2.44685i
\(574\) 7.88944e13 1.36649e14i 1.26615 2.19304i
\(575\) 1.20538e13 0.191772
\(576\) −5.74792e13 + 9.95569e13i −0.906564 + 1.57021i
\(577\) 8.02809e13 + 4.63502e13i 1.25526 + 0.724724i 0.972149 0.234364i \(-0.0753007\pi\)
0.283110 + 0.959088i \(0.408634\pi\)
\(578\) 4.85433e13 2.80265e13i 0.752471 0.434440i
\(579\) 6.34930e13 3.66577e13i 0.975738 0.563342i
\(580\) −8.28101e12 −0.126166
\(581\) 1.84179e14i 2.78202i
\(582\) −2.89676e13 5.01734e13i −0.433808 0.751378i
\(583\) −3.42982e13 5.94062e13i −0.509247 0.882041i
\(584\) −3.15520e13 + 5.46496e13i −0.464475 + 0.804495i
\(585\) 2.60318e12 + 1.50295e12i 0.0379949 + 0.0219364i
\(586\) 1.08430e14i 1.56914i
\(587\) −5.30562e13 3.06320e13i −0.761282 0.439526i 0.0684739 0.997653i \(-0.478187\pi\)
−0.829756 + 0.558127i \(0.811520\pi\)
\(588\) −4.29491e13 2.47967e13i −0.611037 0.352783i
\(589\) 1.01707e13 + 5.87203e12i 0.143474 + 0.0828346i
\(590\) −1.21562e12 2.10552e12i −0.0170035 0.0294509i
\(591\) 3.40585e13i 0.472376i
\(592\) −7.12303e13 + 4.11248e13i −0.979617 + 0.565582i
\(593\) 2.36969e13 + 1.36814e13i 0.323161 + 0.186577i 0.652801 0.757530i \(-0.273594\pi\)
−0.329640 + 0.944107i \(0.606927\pi\)
\(594\) −7.15707e13 −0.967838
\(595\) −4.70244e12 + 8.14487e12i −0.0630578 + 0.109219i
\(596\) 3.29856e12 1.90443e12i 0.0438625 0.0253240i
\(597\) 3.89225e13 + 6.74157e13i 0.513250 + 0.888975i
\(598\) 1.13031e12i 0.0147806i
\(599\) 4.72700e13 + 8.18740e13i 0.612987 + 1.06172i 0.990734 + 0.135816i \(0.0433656\pi\)
−0.377747 + 0.925909i \(0.623301\pi\)
\(600\) −1.17361e14 −1.50927
\(601\) 6.40670e13i 0.817076i 0.912741 + 0.408538i \(0.133961\pi\)
−0.912741 + 0.408538i \(0.866039\pi\)
\(602\) −1.21472e14 4.65490e13i −1.53636 0.588746i
\(603\) −5.37503e13 −0.674209
\(604\) 2.37522e13i 0.295474i
\(605\) −2.35529e12 + 1.35983e12i −0.0290581 + 0.0167767i
\(606\) 2.13912e14 2.61741
\(607\) 1.99341e13 1.15090e13i 0.241910 0.139667i −0.374144 0.927371i \(-0.622063\pi\)
0.616054 + 0.787704i \(0.288730\pi\)
\(608\) 3.14316e12 + 5.44411e12i 0.0378310 + 0.0655253i
\(609\) 4.01114e14 + 2.31583e14i 4.78830 + 2.76453i
\(610\) 1.97081e13i 0.233344i
\(611\) 1.56066e12 2.70314e12i 0.0183274 0.0317441i
\(612\) 2.50105e12 + 4.33194e12i 0.0291316 + 0.0504574i
\(613\) 1.43490e14 1.65775 0.828877 0.559431i \(-0.188980\pi\)
0.828877 + 0.559431i \(0.188980\pi\)
\(614\) 7.47695e13 4.31682e13i 0.856806 0.494677i
\(615\) −3.97386e13 + 6.88292e13i −0.451686 + 0.782343i
\(616\) 9.05185e13 1.56783e14i 1.02055 1.76764i
\(617\) −1.89732e13 + 3.28625e13i −0.212185 + 0.367515i −0.952398 0.304857i \(-0.901391\pi\)
0.740213 + 0.672372i \(0.234725\pi\)
\(618\) 1.54381e14 1.71258
\(619\) −6.96120e13 + 1.20572e14i −0.766004 + 1.32676i 0.173710 + 0.984797i \(0.444424\pi\)
−0.939714 + 0.341961i \(0.888909\pi\)
\(620\) 4.32143e12 + 2.49498e12i 0.0471704 + 0.0272338i
\(621\) 1.81179e13 1.04604e13i 0.196178 0.113263i
\(622\) −5.87190e13 + 3.39014e13i −0.630705 + 0.364138i
\(623\) 1.70979e14 1.82181
\(624\) 8.87584e12i 0.0938181i
\(625\) −2.97814e13 5.15829e13i −0.312281 0.540886i
\(626\) 4.28602e13 + 7.42361e13i 0.445844 + 0.772224i
\(627\) −1.68851e13 + 2.92459e13i −0.174248 + 0.301806i
\(628\) 1.64361e13 + 9.48939e12i 0.168268 + 0.0971494i
\(629\) 2.73417e13i 0.277698i
\(630\) −8.35198e13 4.82202e13i −0.841563 0.485877i
\(631\) −3.91638e13 2.26112e13i −0.391506 0.226036i 0.291307 0.956630i \(-0.405910\pi\)
−0.682812 + 0.730594i \(0.739243\pi\)
\(632\) −5.34051e12 3.08334e12i −0.0529660 0.0305799i
\(633\) −9.52838e13 1.65036e14i −0.937563 1.62391i
\(634\) 5.68843e13i 0.555323i
\(635\) −4.81432e13 + 2.77955e13i −0.466301 + 0.269219i
\(636\) −2.66043e13 1.53600e13i −0.255662 0.147606i
\(637\) 1.81418e13 0.172975
\(638\) −9.30605e13 + 1.61185e14i −0.880363 + 1.52483i
\(639\) 1.86695e14 1.07788e14i 1.75238 1.01174i
\(640\) −1.22970e13 2.12990e13i −0.114525 0.198362i
\(641\) 1.08760e14i 1.00503i −0.864570 0.502513i \(-0.832409\pi\)
0.864570 0.502513i \(-0.167591\pi\)
\(642\) −7.43426e13 1.28765e14i −0.681652 1.18066i
\(643\) −1.50497e14 −1.36922 −0.684609 0.728910i \(-0.740027\pi\)
−0.684609 + 0.728910i \(0.740027\pi\)
\(644\) 8.32701e12i 0.0751726i
\(645\) 6.11846e13 + 2.34464e13i 0.548080 + 0.210028i
\(646\) −3.98339e12 −0.0354071
\(647\) 1.98197e14i 1.74813i 0.485805 + 0.874067i \(0.338527\pi\)
−0.485805 + 0.874067i \(0.661473\pi\)
\(648\) −3.50413e12 + 2.02311e12i −0.0306694 + 0.0177070i
\(649\) 1.25471e13 0.108974
\(650\) 5.85047e12 3.37777e12i 0.0504225 0.0291114i
\(651\) −1.39547e14 2.41703e14i −1.19348 2.06717i
\(652\) 3.00539e12 + 1.73516e12i 0.0255072 + 0.0147266i
\(653\) 1.25616e14i 1.05798i −0.848628 0.528990i \(-0.822571\pi\)
0.848628 0.528990i \(-0.177429\pi\)
\(654\) −7.42883e13 + 1.28671e14i −0.620914 + 1.07545i
\(655\) −2.52529e13 4.37393e13i −0.209462 0.362799i
\(656\) 1.45541e14 1.19803
\(657\) −1.50244e14 + 8.67431e13i −1.22735 + 0.708612i
\(658\) −5.00717e13 + 8.67267e13i −0.405941 + 0.703111i
\(659\) −1.85474e13 + 3.21250e13i −0.149230 + 0.258474i −0.930943 0.365164i \(-0.881013\pi\)
0.781713 + 0.623638i \(0.214346\pi\)
\(660\) −7.17436e12 + 1.24264e13i −0.0572880 + 0.0992257i
\(661\) 2.06867e14 1.63940 0.819700 0.572794i \(-0.194140\pi\)
0.819700 + 0.572794i \(0.194140\pi\)
\(662\) 1.06917e14 1.85185e14i 0.840923 1.45652i
\(663\) −2.55524e12 1.47527e12i −0.0199464 0.0115160i
\(664\) −1.82419e14 + 1.05319e14i −1.41328 + 0.815958i
\(665\) −1.52720e13 + 8.81728e12i −0.117432 + 0.0677995i
\(666\) −2.80369e14 −2.13973
\(667\) 5.44048e13i 0.412105i
\(668\) −6.27857e12 1.08748e13i −0.0472039 0.0817596i
\(669\) −1.62268e14 2.81057e14i −1.21089 2.09732i
\(670\) 9.09350e12 1.57504e13i 0.0673530 0.116659i
\(671\) −8.80832e13 5.08548e13i −0.647560 0.373869i
\(672\) 1.49393e14i 1.09014i
\(673\) 1.21099e14 + 6.99164e13i 0.877131 + 0.506412i 0.869711 0.493561i \(-0.164305\pi\)
0.00741974 + 0.999972i \(0.497638\pi\)
\(674\) 3.78780e13 + 2.18689e13i 0.272325 + 0.157227i
\(675\) −1.08285e14 6.25184e13i −0.772769 0.446158i
\(676\) 1.31080e13 + 2.27037e13i 0.0928543 + 0.160828i
\(677\) 3.39874e13i 0.238987i −0.992835 0.119493i \(-0.961873\pi\)
0.992835 0.119493i \(-0.0381270\pi\)
\(678\) 8.99658e13 5.19418e13i 0.627956 0.362550i
\(679\) 1.35214e14 + 7.80656e13i 0.936854 + 0.540893i
\(680\) −1.07560e13 −0.0739787
\(681\) −1.30162e14 + 2.25447e14i −0.888685 + 1.53925i
\(682\) 9.71270e13 5.60763e13i 0.658291 0.380064i
\(683\) −4.03034e13 6.98076e13i −0.271168 0.469677i 0.697993 0.716104i \(-0.254077\pi\)
−0.969161 + 0.246428i \(0.920743\pi\)
\(684\) 9.37914e12i 0.0626444i
\(685\) 2.60120e13 + 4.50541e13i 0.172473 + 0.298732i
\(686\) −3.32100e14 −2.18599
\(687\) 1.20680e14i 0.788591i
\(688\) −1.88381e13 1.18500e14i −0.122207 0.768736i
\(689\) 1.12377e13 0.0723740
\(690\) 1.82663e13i 0.116790i
\(691\) 2.67560e14 1.54476e14i 1.69836 0.980551i 0.751050 0.660245i \(-0.229548\pi\)
0.947314 0.320306i \(-0.103786\pi\)
\(692\) −1.24846e13 −0.0786766
\(693\) 4.31029e14 2.48855e14i 2.69675 1.55697i
\(694\) −7.93901e13 1.37508e14i −0.493139 0.854141i
\(695\) 1.80345e13 + 1.04122e13i 0.111219 + 0.0642126i
\(696\) 5.29706e14i 3.24331i
\(697\) 2.41906e13 4.18994e13i 0.147056 0.254709i
\(698\) −6.50954e13 1.12749e14i −0.392892 0.680509i
\(699\) −2.65863e14 −1.59321
\(700\) 4.31003e13 2.48840e13i 0.256443 0.148057i
\(701\) 1.62993e12 2.82311e12i 0.00962892 0.0166778i −0.861171 0.508316i \(-0.830268\pi\)
0.870800 + 0.491638i \(0.163602\pi\)
\(702\) 5.86249e12 1.01541e13i 0.0343872 0.0595604i
\(703\) −2.56334e13 + 4.43984e13i −0.149290 + 0.258577i
\(704\) 2.00742e14 1.16084
\(705\) 2.52208e13 4.36836e13i 0.144815 0.250826i
\(706\) −9.67608e13 5.58649e13i −0.551666 0.318504i
\(707\) −4.99244e14 + 2.88238e14i −2.82628 + 1.63175i
\(708\) 4.86626e12 2.80954e12i 0.0273545 0.0157931i
\(709\) 6.52493e13 0.364204 0.182102 0.983280i \(-0.441710\pi\)
0.182102 + 0.983280i \(0.441710\pi\)
\(710\) 7.29425e13i 0.404286i
\(711\) −8.47677e12 1.46822e13i −0.0466533 0.0808059i
\(712\) 9.77713e13 + 1.69345e14i 0.534332 + 0.925491i
\(713\) −1.63916e13 + 2.83911e13i −0.0889556 + 0.154076i
\(714\) 8.19815e13 + 4.73320e13i 0.441799 + 0.255073i
\(715\) 5.24893e12i 0.0280893i
\(716\) −2.43162e13 1.40390e13i −0.129220 0.0746054i
\(717\) 2.14439e14 + 1.23806e14i 1.13164 + 0.653351i
\(718\) −1.47995e13 8.54449e12i −0.0775576 0.0447779i
\(719\) 5.84287e13 + 1.01201e14i 0.304076 + 0.526674i 0.977055 0.212987i \(-0.0683191\pi\)
−0.672980 + 0.739661i \(0.734986\pi\)
\(720\) 8.89546e13i 0.459733i
\(721\) −3.60306e14 + 2.08023e14i −1.84925 + 1.06766i
\(722\) 1.46757e14 + 8.47304e13i 0.748021 + 0.431870i
\(723\) −4.41306e14 −2.23382
\(724\) −2.95114e13 + 5.11153e13i −0.148353 + 0.256956i
\(725\) −2.81597e14 + 1.62580e14i −1.40585 + 0.811667i
\(726\) 1.36872e13 + 2.37070e13i 0.0678629 + 0.117542i
\(727\) 8.58878e13i 0.422921i −0.977387 0.211461i \(-0.932178\pi\)
0.977387 0.211461i \(-0.0678220\pi\)
\(728\) 1.48291e13 + 2.56848e13i 0.0725201 + 0.125608i
\(729\) 3.31855e14 1.61180
\(730\) 5.87009e13i 0.283159i
\(731\) −3.72458e13 1.42729e13i −0.178439 0.0683793i
\(732\) −4.55493e13 −0.216734
\(733\) 1.33037e14i 0.628713i 0.949305 + 0.314357i \(0.101789\pi\)
−0.949305 + 0.314357i \(0.898211\pi\)
\(734\) 1.20417e14 6.95231e13i 0.565209 0.326324i
\(735\) 2.93178e14 1.36677
\(736\) −1.51971e13 + 8.77402e12i −0.0703672 + 0.0406265i
\(737\) 4.69297e13 + 8.12846e13i 0.215829 + 0.373827i
\(738\) 4.29648e14 + 2.48058e14i 1.96260 + 1.13311i
\(739\) 1.71904e14i 0.779943i −0.920827 0.389972i \(-0.872485\pi\)
0.920827 0.389972i \(-0.127515\pi\)
\(740\) −1.08914e13 + 1.88645e13i −0.0490825 + 0.0850134i
\(741\) −2.76619e12 4.79118e12i −0.0123820 0.0214463i
\(742\) −3.60548e14 −1.60304
\(743\) −1.29532e14 + 7.47854e13i −0.572049 + 0.330273i −0.757967 0.652293i \(-0.773807\pi\)
0.185918 + 0.982565i \(0.440474\pi\)
\(744\) 1.59595e14 2.76427e14i 0.700091 1.21259i
\(745\) −1.12583e13 + 1.94999e13i −0.0490559 + 0.0849672i
\(746\) −1.06123e14 + 1.83810e14i −0.459320 + 0.795565i
\(747\) −5.79091e14 −2.48968
\(748\) 4.36735e12 7.56448e12i 0.0186513 0.0323051i
\(749\) 3.47013e14 + 2.00348e14i 1.47210 + 0.849916i
\(750\) 2.03326e14 1.17390e14i 0.856812 0.494681i
\(751\) 2.90313e14 1.67612e14i 1.21525 0.701626i 0.251354 0.967895i \(-0.419124\pi\)
0.963899 + 0.266269i \(0.0857909\pi\)
\(752\) −9.23702e13 −0.384099
\(753\) 6.29053e14i 2.59844i
\(754\) −1.52455e13 2.64060e13i −0.0625585 0.108354i
\(755\) −7.02072e13 1.21603e14i −0.286185 0.495687i
\(756\) 4.31889e13 7.48054e13i 0.174889 0.302917i
\(757\) −4.13535e14 2.38755e14i −1.66354 0.960445i −0.971004 0.239062i \(-0.923160\pi\)
−0.692536 0.721384i \(-0.743506\pi\)
\(758\) 2.89382e13i 0.115645i
\(759\) −8.16390e13 4.71343e13i −0.324107 0.187123i
\(760\) −1.74660e13 1.00840e13i −0.0688851 0.0397708i
\(761\) 4.60551e13 + 2.65899e13i 0.180449