Properties

Label 43.10.g.a.9.16
Level 43
Weight 10
Character 43.9
Analytic conductor 22.147
Analytic rank 0
Dimension 384
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 10 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(22.1465409550\)
Analytic rank: \(0\)
Dimension: \(384\)
Relative dimension: \(32\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.16
Character \(\chi\) \(=\) 43.9
Dual form 43.10.g.a.24.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.71937 - 4.66394i) q^{2} +(263.417 + 39.7037i) q^{3} +(106.012 - 464.469i) q^{4} +(1636.60 + 1115.81i) q^{5} +(-794.568 - 1376.23i) q^{6} +(3931.83 - 6810.12i) q^{7} +(-5312.37 + 2558.30i) q^{8} +(49003.4 + 15115.6i) q^{9} +O(q^{10})\) \(q+(-3.71937 - 4.66394i) q^{2} +(263.417 + 39.7037i) q^{3} +(106.012 - 464.469i) q^{4} +(1636.60 + 1115.81i) q^{5} +(-794.568 - 1376.23i) q^{6} +(3931.83 - 6810.12i) q^{7} +(-5312.37 + 2558.30i) q^{8} +(49003.4 + 15115.6i) q^{9} +(-883.022 - 11783.1i) q^{10} +(-7627.38 - 33417.7i) q^{11} +(46366.5 - 118140. i) q^{12} +(-1316.81 + 17571.6i) q^{13} +(-46385.9 + 6991.55i) q^{14} +(386805. + 358903. i) q^{15} +(-188077. - 90573.3i) q^{16} +(-321648. + 219296. i) q^{17} +(-111764. - 284769. i) q^{18} +(-511241. + 157697. i) q^{19} +(691760. - 641859. i) q^{20} +(1.30610e6 - 1.63779e6i) q^{21} +(-127489. + 159866. i) q^{22} +(-1.84656e6 + 1.71335e6i) q^{23} +(-1.50094e6 + 462979. i) q^{24} +(719854. + 1.83416e6i) q^{25} +(86850.5 - 59213.6i) q^{26} +(7.58404e6 + 3.65228e6i) q^{27} +(-2.74627e6 - 2.54817e6i) q^{28} +(2.09856e6 - 316307. i) q^{29} +(235230. - 3.13893e6i) q^{30} +(2.43461e6 - 6.20328e6i) q^{31} +(948869. + 4.15727e6i) q^{32} +(-682372. - 9.10562e6i) q^{33} +(2.21911e6 + 684505. i) q^{34} +(1.40336e7 - 6.75824e6i) q^{35} +(1.22157e7 - 2.11582e7i) q^{36} +(-1.62733e6 - 2.81862e6i) q^{37} +(2.63698e6 + 1.79786e6i) q^{38} +(-1.04453e6 + 4.57636e6i) q^{39} +(-1.15488e7 - 1.74070e6i) q^{40} +(2.88454e6 + 3.61710e6i) q^{41} -1.24964e7 q^{42} +(9.91424e6 - 2.01072e7i) q^{43} -1.63301e7 q^{44} +(6.33327e7 + 7.94167e7i) q^{45} +(1.48590e7 + 2.23963e6i) q^{46} +(-5.82225e6 + 2.55090e7i) q^{47} +(-4.59466e7 - 3.13259e7i) q^{48} +(-1.07417e7 - 1.86052e7i) q^{49} +(5.87700e6 - 1.01793e7i) q^{50} +(-9.34344e7 + 4.49956e7i) q^{51} +(8.02186e6 + 2.47442e6i) q^{52} +(8.26931e6 + 1.10346e8i) q^{53} +(-1.11738e7 - 4.89557e7i) q^{54} +(2.48050e7 - 6.32021e7i) q^{55} +(-3.46496e6 + 4.62367e7i) q^{56} +(-1.40931e8 + 2.12419e7i) q^{57} +(-9.28056e6 - 8.61110e6i) q^{58} +(4.19367e6 + 2.01956e6i) q^{59} +(2.07705e8 - 1.41611e8i) q^{60} +(-2.55321e7 - 6.50547e7i) q^{61} +(-3.79869e7 + 1.17174e7i) q^{62} +(2.95612e8 - 2.74288e8i) q^{63} +(-5.07786e7 + 6.36744e7i) q^{64} +(-2.17617e7 + 2.72883e7i) q^{65} +(-3.99301e7 + 3.70497e7i) q^{66} +(6.26418e7 - 1.93224e7i) q^{67} +(6.77577e7 + 1.72644e8i) q^{68} +(-5.54440e8 + 3.78011e8i) q^{69} +(-8.37163e7 - 4.03156e7i) q^{70} +(-9.05191e7 - 8.39894e7i) q^{71} +(-2.98995e8 + 4.50662e7i) q^{72} +(1.72323e6 - 2.29949e7i) q^{73} +(-7.09322e6 + 1.80732e7i) q^{74} +(1.16799e8 + 5.11729e8i) q^{75} +(1.90477e7 + 2.54174e8i) q^{76} +(-2.57568e8 - 7.94493e7i) q^{77} +(2.52289e7 - 1.21496e7i) q^{78} +(2.30019e8 - 3.98405e8i) q^{79} +(-2.06744e8 - 3.58091e8i) q^{80} +(1.01877e9 + 6.94583e8i) q^{81} +(6.14126e6 - 2.69066e7i) q^{82} +(3.22178e7 + 4.85605e6i) q^{83} +(-6.22242e8 - 7.80267e8i) q^{84} -7.71102e8 q^{85} +(-1.30654e8 + 2.85467e7i) q^{86} +5.65355e8 q^{87} +(1.26012e8 + 1.58014e8i) q^{88} +(-5.54771e8 - 8.36183e7i) q^{89} +(1.34837e8 - 5.90760e8i) q^{90} +(1.14487e8 + 7.80560e7i) q^{91} +(6.00043e8 + 1.03930e9i) q^{92} +(8.87609e8 - 1.53738e9i) q^{93} +(1.40627e8 - 6.77225e7i) q^{94} +(-1.01266e9 - 3.12363e8i) q^{95} +(8.48891e7 + 1.13277e9i) q^{96} +(1.12527e8 + 4.93014e8i) q^{97} +(-4.68211e7 + 1.19298e8i) q^{98} +(1.31360e8 - 1.75288e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + O(q^{10}) \) \( 384q + 56q^{2} - 321q^{3} - 16052q^{4} - 695q^{5} + 1274q^{6} + 32650q^{7} - 50022q^{8} + 373611q^{9} + 6223q^{10} + 180668q^{11} - 270774q^{12} + 11245q^{13} - 271206q^{14} - 835123q^{15} - 6169448q^{16} - 65194q^{17} - 466218q^{18} - 1417919q^{19} + 5877261q^{20} + 3242929q^{21} - 4296822q^{22} - 2544899q^{23} - 6043976q^{24} + 9428207q^{25} - 11482629q^{26} + 20117988q^{27} + 7310292q^{28} - 5289921q^{29} + 23977480q^{30} - 47539873q^{31} + 18747558q^{32} - 68064193q^{33} - 73743233q^{34} - 15006505q^{35} - 203628199q^{36} + 62563960q^{37} + 108303102q^{38} + 70931426q^{39} + 14772713q^{40} - 35636128q^{41} + 29601006q^{42} - 207110915q^{43} + 367809332q^{44} + 122079484q^{45} + 164249271q^{46} + 25529106q^{47} + 191670995q^{48} - 815972056q^{49} - 210640197q^{50} - 392161947q^{51} - 873472922q^{52} + 87568125q^{53} + 627150582q^{54} + 628156420q^{55} + 725546751q^{56} - 402646583q^{57} - 677654606q^{58} + 552834314q^{59} + 990764675q^{60} + 376844345q^{61} + 76529685q^{62} - 505887225q^{63} + 621236102q^{64} + 8885906q^{65} + 895281647q^{66} + 789662056q^{67} - 2265959151q^{68} - 2055955619q^{69} + 3236566615q^{70} + 635670789q^{71} - 1964730073q^{72} + 1333013552q^{73} - 5184014638q^{74} + 720042326q^{75} + 477329288q^{76} + 2282266995q^{77} + 5133145036q^{78} + 2903853142q^{79} + 6779574014q^{80} + 3699743739q^{81} - 1268184088q^{82} - 3074947634q^{83} - 1313116801q^{84} + 1946616146q^{85} - 10088814540q^{86} - 6085081326q^{87} - 8012630430q^{88} - 1632065068q^{89} + 3316166089q^{90} + 5386571784q^{91} + 2280339030q^{92} + 2459095364q^{93} - 5048567488q^{94} - 1597173221q^{95} - 10288936616q^{96} - 4337315288q^{97} - 14989446392q^{98} - 5338096561q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.71937 4.66394i −0.164374 0.206119i 0.692822 0.721109i \(-0.256367\pi\)
−0.857196 + 0.514990i \(0.827796\pi\)
\(3\) 263.417 + 39.7037i 1.87758 + 0.282999i 0.985601 0.169085i \(-0.0540814\pi\)
0.891975 + 0.452085i \(0.149319\pi\)
\(4\) 106.012 464.469i 0.207055 0.907167i
\(5\) 1636.60 + 1115.81i 1.17105 + 0.798411i 0.982974 0.183743i \(-0.0588215\pi\)
0.188079 + 0.982154i \(0.439774\pi\)
\(6\) −794.568 1376.23i −0.250294 0.433522i
\(7\) 3931.83 6810.12i 0.618946 1.07205i −0.370732 0.928740i \(-0.620893\pi\)
0.989678 0.143307i \(-0.0457735\pi\)
\(8\) −5312.37 + 2558.30i −0.458547 + 0.220824i
\(9\) 49003.4 + 15115.6i 2.48963 + 0.767950i
\(10\) −883.022 11783.1i −0.0279236 0.372614i
\(11\) −7627.38 33417.7i −0.157075 0.688192i −0.990723 0.135896i \(-0.956609\pi\)
0.833648 0.552297i \(-0.186248\pi\)
\(12\) 46366.5 118140.i 0.645489 1.64468i
\(13\) −1316.81 + 17571.6i −0.0127873 + 0.170634i 0.987154 + 0.159773i \(0.0510763\pi\)
−0.999941 + 0.0108609i \(0.996543\pi\)
\(14\) −46385.9 + 6991.55i −0.322708 + 0.0486404i
\(15\) 386805. + 358903.i 1.97279 + 1.83048i
\(16\) −188077. 90573.3i −0.717459 0.345510i
\(17\) −321648. + 219296.i −0.934030 + 0.636811i −0.931717 0.363186i \(-0.881689\pi\)
−0.00231384 + 0.999997i \(0.500737\pi\)
\(18\) −111764. 284769.i −0.250943 0.639392i
\(19\) −511241. + 157697.i −0.899983 + 0.277608i −0.710019 0.704183i \(-0.751314\pi\)
−0.189965 + 0.981791i \(0.560837\pi\)
\(20\) 691760. 641859.i 0.966764 0.897026i
\(21\) 1.30610e6 1.63779e6i 1.46551 1.83769i
\(22\) −127489. + 159866.i −0.116030 + 0.145497i
\(23\) −1.84656e6 + 1.71335e6i −1.37590 + 1.27665i −0.453053 + 0.891484i \(0.649665\pi\)
−0.922848 + 0.385165i \(0.874144\pi\)
\(24\) −1.50094e6 + 462979.i −0.923449 + 0.284846i
\(25\) 719854. + 1.83416e6i 0.368565 + 0.939089i
\(26\) 86850.5 59213.6i 0.0372728 0.0254122i
\(27\) 7.58404e6 + 3.65228e6i 2.74640 + 1.32260i
\(28\) −2.74627e6 2.54817e6i −0.844369 0.783460i
\(29\) 2.09856e6 316307.i 0.550973 0.0830459i 0.132345 0.991204i \(-0.457749\pi\)
0.418628 + 0.908158i \(0.362511\pi\)
\(30\) 235230. 3.13893e6i 0.0530209 0.707514i
\(31\) 2.43461e6 6.20328e6i 0.473480 1.20641i −0.472254 0.881463i \(-0.656559\pi\)
0.945733 0.324944i \(-0.105345\pi\)
\(32\) 948869. + 4.15727e6i 0.159967 + 0.700863i
\(33\) −682372. 9.10562e6i −0.100163 1.33659i
\(34\) 2.21911e6 + 684505.i 0.284789 + 0.0878459i
\(35\) 1.40336e7 6.75824e6i 1.58075 0.761250i
\(36\) 1.22157e7 2.11582e7i 1.21215 2.09950i
\(37\) −1.62733e6 2.81862e6i −0.142747 0.247245i 0.785783 0.618502i \(-0.212260\pi\)
−0.928530 + 0.371257i \(0.878927\pi\)
\(38\) 2.63698e6 + 1.79786e6i 0.205154 + 0.139872i
\(39\) −1.04453e6 + 4.57636e6i −0.0722983 + 0.316760i
\(40\) −1.15488e7 1.74070e6i −0.713291 0.107511i
\(41\) 2.88454e6 + 3.61710e6i 0.159422 + 0.199909i 0.855127 0.518419i \(-0.173479\pi\)
−0.695705 + 0.718328i \(0.744908\pi\)
\(42\) −1.24964e7 −0.619674
\(43\) 9.91424e6 2.01072e7i 0.442233 0.896900i
\(44\) −1.63301e7 −0.656828
\(45\) 6.33327e7 + 7.94167e7i 2.30235 + 2.88706i
\(46\) 1.48590e7 + 2.23963e6i 0.489304 + 0.0737508i
\(47\) −5.82225e6 + 2.55090e7i −0.174041 + 0.762522i 0.810267 + 0.586061i \(0.199322\pi\)
−0.984308 + 0.176461i \(0.943535\pi\)
\(48\) −4.59466e7 3.13259e7i −1.24930 0.851761i
\(49\) −1.07417e7 1.86052e7i −0.266189 0.461053i
\(50\) 5.87700e6 1.01793e7i 0.132981 0.230330i
\(51\) −9.34344e7 + 4.49956e7i −1.93393 + 0.931332i
\(52\) 8.02186e6 + 2.47442e6i 0.152146 + 0.0469308i
\(53\) 8.26931e6 + 1.10346e8i 0.143955 + 1.92095i 0.340123 + 0.940381i \(0.389531\pi\)
−0.196167 + 0.980570i \(0.562850\pi\)
\(54\) −1.11738e7 4.89557e7i −0.178826 0.783486i
\(55\) 2.48050e7 6.32021e7i 0.365516 0.931320i
\(56\) −3.46496e6 + 4.62367e7i −0.0470817 + 0.628262i
\(57\) −1.40931e8 + 2.12419e7i −1.76835 + 0.266536i
\(58\) −9.28056e6 8.61110e6i −0.107683 0.0999154i
\(59\) 4.19367e6 + 2.01956e6i 0.0450568 + 0.0216982i 0.456276 0.889838i \(-0.349183\pi\)
−0.411220 + 0.911536i \(0.634897\pi\)
\(60\) 2.07705e8 1.41611e8i 2.06903 1.41064i
\(61\) −2.55321e7 6.50547e7i −0.236103 0.601581i 0.762886 0.646533i \(-0.223782\pi\)
−0.998989 + 0.0449518i \(0.985687\pi\)
\(62\) −3.79869e7 + 1.17174e7i −0.326491 + 0.100709i
\(63\) 2.95612e8 2.74288e8i 2.36423 2.19368i
\(64\) −5.07786e7 + 6.36744e7i −0.378330 + 0.474411i
\(65\) −2.17617e7 + 2.72883e7i −0.151211 + 0.189612i
\(66\) −3.99301e7 + 3.70497e7i −0.259031 + 0.240346i
\(67\) 6.26418e7 1.93224e7i 0.379776 0.117145i −0.0989890 0.995089i \(-0.531561\pi\)
0.478765 + 0.877943i \(0.341085\pi\)
\(68\) 6.77577e7 + 1.72644e8i 0.384298 + 0.979176i
\(69\) −5.54440e8 + 3.78011e8i −2.94465 + 2.00763i
\(70\) −8.37163e7 4.03156e7i −0.416743 0.200693i
\(71\) −9.05191e7 8.39894e7i −0.422744 0.392249i 0.439911 0.898041i \(-0.355010\pi\)
−0.862655 + 0.505792i \(0.831200\pi\)
\(72\) −2.98995e8 + 4.50662e7i −1.31119 + 0.197631i
\(73\) 1.72323e6 2.29949e7i 0.00710215 0.0947716i −0.992526 0.122031i \(-0.961059\pi\)
0.999628 + 0.0272599i \(0.00867817\pi\)
\(74\) −7.09322e6 + 1.80732e7i −0.0274980 + 0.0700637i
\(75\) 1.16799e8 + 5.11729e8i 0.426248 + 1.86751i
\(76\) 1.90477e7 + 2.54174e8i 0.0654909 + 0.873915i
\(77\) −2.57568e8 7.94493e7i −0.834995 0.257562i
\(78\) 2.52289e7 1.21496e7i 0.0771742 0.0371651i
\(79\) 2.30019e8 3.98405e8i 0.664419 1.15081i −0.315023 0.949084i \(-0.602012\pi\)
0.979442 0.201724i \(-0.0646544\pi\)
\(80\) −2.06744e8 3.58091e8i −0.564323 0.977437i
\(81\) 1.01877e9 + 6.94583e8i 2.62961 + 1.79284i
\(82\) 6.14126e6 2.69066e7i 0.0150001 0.0657199i
\(83\) 3.22178e7 + 4.85605e6i 0.0745150 + 0.0112313i 0.186194 0.982513i \(-0.440385\pi\)
−0.111679 + 0.993744i \(0.535623\pi\)
\(84\) −6.22242e8 7.80267e8i −1.36365 1.70996i
\(85\) −7.71102e8 −1.60224
\(86\) −1.30654e8 + 2.85467e7i −0.257560 + 0.0562747i
\(87\) 5.65355e8 1.05800
\(88\) 1.26012e8 + 1.58014e8i 0.223996 + 0.280882i
\(89\) −5.54771e8 8.36183e7i −0.937257 0.141269i −0.337387 0.941366i \(-0.609543\pi\)
−0.599870 + 0.800097i \(0.704781\pi\)
\(90\) 1.34837e8 5.90760e8i 0.216630 0.949117i
\(91\) 1.14487e8 + 7.80560e7i 0.175013 + 0.119322i
\(92\) 6.00043e8 + 1.03930e9i 0.873246 + 1.51251i
\(93\) 8.87609e8 1.53738e9i 1.23041 2.13113i
\(94\) 1.40627e8 6.77225e7i 0.185778 0.0894660i
\(95\) −1.01266e9 3.12363e8i −1.27557 0.393462i
\(96\) 8.48891e7 + 1.13277e9i 0.102007 + 1.36119i
\(97\) 1.12527e8 + 4.93014e8i 0.129058 + 0.565440i 0.997564 + 0.0697611i \(0.0222237\pi\)
−0.868506 + 0.495679i \(0.834919\pi\)
\(98\) −4.68211e7 + 1.19298e8i −0.0512771 + 0.130652i
\(99\) 1.31360e8 1.75288e9i 0.137437 1.83397i
\(100\) 9.28223e8 1.39907e8i 0.928223 0.139907i
\(101\) 1.06044e9 + 9.83947e8i 1.01401 + 0.940862i 0.998257 0.0590144i \(-0.0187958\pi\)
0.0157505 + 0.999876i \(0.494986\pi\)
\(102\) 5.57374e8 + 2.68417e8i 0.509854 + 0.245533i
\(103\) −1.72014e9 + 1.17277e9i −1.50590 + 1.02671i −0.521005 + 0.853554i \(0.674443\pi\)
−0.984895 + 0.173151i \(0.944605\pi\)
\(104\) −3.79580e7 9.67155e7i −0.0318166 0.0810674i
\(105\) 3.96502e9 1.22305e9i 3.18342 0.981954i
\(106\) 4.83892e8 4.48986e8i 0.372282 0.345427i
\(107\) 3.67341e8 4.60632e8i 0.270921 0.339724i −0.627696 0.778459i \(-0.716002\pi\)
0.898617 + 0.438735i \(0.144573\pi\)
\(108\) 2.50037e9 3.13537e9i 1.76847 2.21759i
\(109\) −1.24588e9 + 1.15601e9i −0.845392 + 0.784409i −0.978403 0.206705i \(-0.933726\pi\)
0.133011 + 0.991115i \(0.457535\pi\)
\(110\) −3.87029e8 + 1.19383e8i −0.252044 + 0.0777454i
\(111\) −3.16756e8 8.07082e8i −0.198049 0.504620i
\(112\) −1.35630e9 + 9.24712e8i −0.814471 + 0.555297i
\(113\) 6.12005e8 + 2.94726e8i 0.353103 + 0.170046i 0.602023 0.798478i \(-0.294361\pi\)
−0.248920 + 0.968524i \(0.580076\pi\)
\(114\) 6.23243e8 + 5.78285e8i 0.345610 + 0.320679i
\(115\) −4.93385e9 + 7.43658e8i −2.63054 + 0.396490i
\(116\) 7.55579e7 1.00825e9i 0.0387453 0.517020i
\(117\) −3.30132e8 + 8.41163e8i −0.162874 + 0.414996i
\(118\) −6.17867e6 2.70705e7i −0.00293377 0.0128537i
\(119\) 2.28768e8 + 3.05270e9i 0.104576 + 1.39548i
\(120\) −2.97303e9 9.17059e8i −1.30883 0.403721i
\(121\) 1.06587e9 5.13296e8i 0.452033 0.217688i
\(122\) −2.08448e8 + 3.61042e8i −0.0851880 + 0.147550i
\(123\) 6.16223e8 + 1.06733e9i 0.242753 + 0.420461i
\(124\) −2.62314e9 1.78842e9i −0.996376 0.679317i
\(125\) −7.59713e6 + 3.32852e7i −0.00278327 + 0.0121943i
\(126\) −2.37875e9 3.58539e8i −0.840778 0.126727i
\(127\) 9.44256e8 + 1.18406e9i 0.322087 + 0.403884i 0.916345 0.400391i \(-0.131126\pi\)
−0.594258 + 0.804275i \(0.702554\pi\)
\(128\) 2.66910e9 0.878860
\(129\) 3.40991e9 4.90295e9i 1.08415 1.55885i
\(130\) 2.08210e8 0.0639378
\(131\) −3.81445e9 4.78317e9i −1.13165 1.41904i −0.894215 0.447637i \(-0.852266\pi\)
−0.237432 0.971404i \(-0.576306\pi\)
\(132\) −4.30162e9 6.48365e8i −1.23325 0.185882i
\(133\) −9.36175e8 + 4.10165e9i −0.259433 + 1.13665i
\(134\) −3.23106e8 2.20290e8i −0.0865713 0.0590233i
\(135\) 8.33675e9 + 1.44397e10i 2.16021 + 3.74159i
\(136\) 1.14769e9 1.98786e9i 0.287673 0.498264i
\(137\) −2.43302e9 + 1.17168e9i −0.590069 + 0.284162i −0.704996 0.709212i \(-0.749051\pi\)
0.114926 + 0.993374i \(0.463337\pi\)
\(138\) 3.82518e9 + 1.17991e9i 0.897835 + 0.276945i
\(139\) 2.08316e8 + 2.77978e9i 0.0473321 + 0.631603i 0.969544 + 0.244918i \(0.0787610\pi\)
−0.922212 + 0.386685i \(0.873620\pi\)
\(140\) −1.65126e9 7.23465e9i −0.363278 1.59163i
\(141\) −2.54648e9 + 6.48832e9i −0.542568 + 1.38244i
\(142\) −5.50479e7 + 7.34563e8i −0.0113617 + 0.151611i
\(143\) 5.97246e8 9.00203e7i 0.119438 0.0180023i
\(144\) −7.84737e9 7.28130e9i −1.52087 1.41116i
\(145\) 3.78744e9 + 1.82393e9i 0.711524 + 0.342652i
\(146\) −1.13656e8 + 7.74893e7i −0.0207016 + 0.0141141i
\(147\) −2.09085e9 5.32740e9i −0.369313 0.940995i
\(148\) −1.48168e9 + 4.57037e8i −0.253849 + 0.0783021i
\(149\) 3.98939e9 3.70161e9i 0.663084 0.615252i −0.275089 0.961419i \(-0.588707\pi\)
0.938173 + 0.346167i \(0.112517\pi\)
\(150\) 1.95225e9 2.44805e9i 0.314866 0.394829i
\(151\) 4.55152e9 5.70742e9i 0.712459 0.893396i −0.285426 0.958401i \(-0.592135\pi\)
0.997885 + 0.0650053i \(0.0207064\pi\)
\(152\) 2.31247e9 2.14565e9i 0.351382 0.326034i
\(153\) −1.90766e10 + 5.88437e9i −2.81443 + 0.868137i
\(154\) 5.87444e8 + 1.49678e9i 0.0841634 + 0.214445i
\(155\) 1.09062e10 7.43570e9i 1.51768 1.03474i
\(156\) 2.01485e9 + 9.70300e8i 0.272384 + 0.131173i
\(157\) −3.51192e9 3.25858e9i −0.461313 0.428036i 0.414968 0.909836i \(-0.363793\pi\)
−0.876281 + 0.481800i \(0.839983\pi\)
\(158\) −2.71366e9 + 4.09019e8i −0.346417 + 0.0522139i
\(159\) −2.20288e9 + 2.93954e10i −0.273340 + 3.64747i
\(160\) −3.08581e9 + 7.86253e9i −0.372246 + 0.948467i
\(161\) 4.40781e9 + 1.93119e10i 0.517019 + 2.26521i
\(162\) −5.49673e8 7.33488e9i −0.0627028 0.836710i
\(163\) −1.20367e10 3.71284e9i −1.33556 0.411967i −0.456947 0.889494i \(-0.651057\pi\)
−0.878617 + 0.477527i \(0.841533\pi\)
\(164\) 1.98583e9 9.56323e8i 0.214360 0.103230i
\(165\) 9.04340e9 1.56636e10i 0.949848 1.64518i
\(166\) −9.71814e7 1.68323e8i −0.00993337 0.0172051i
\(167\) −1.33664e10 9.11304e9i −1.32981 0.906649i −0.330500 0.943806i \(-0.607217\pi\)
−0.999309 + 0.0371570i \(0.988170\pi\)
\(168\) −2.74850e9 + 1.20419e10i −0.266197 + 1.16629i
\(169\) 1.01790e10 + 1.53424e9i 0.959878 + 0.144678i
\(170\) 2.86801e9 + 3.59637e9i 0.263367 + 0.330251i
\(171\) −2.74362e10 −2.45382
\(172\) −8.28816e9 6.73647e9i −0.722071 0.586887i
\(173\) −6.52825e9 −0.554102 −0.277051 0.960855i \(-0.589357\pi\)
−0.277051 + 0.960855i \(0.589357\pi\)
\(174\) −2.10276e9 2.63678e9i −0.173907 0.218073i
\(175\) 1.53212e10 + 2.30930e9i 1.23487 + 0.186127i
\(176\) −1.59222e9 + 6.97596e9i −0.125082 + 0.548021i
\(177\) 1.02450e9 + 6.98491e8i 0.0784569 + 0.0534910i
\(178\) 1.67341e9 + 2.89843e9i 0.124943 + 0.216407i
\(179\) 3.71798e9 6.43972e9i 0.270687 0.468844i −0.698351 0.715756i \(-0.746082\pi\)
0.969038 + 0.246912i \(0.0794157\pi\)
\(180\) 4.36007e10 2.09970e10i 3.09576 1.49084i
\(181\) 1.25946e10 + 3.88491e9i 0.872227 + 0.269046i 0.698381 0.715727i \(-0.253904\pi\)
0.173846 + 0.984773i \(0.444381\pi\)
\(182\) −6.17712e7 8.24280e8i −0.00417316 0.0556869i
\(183\) −4.14267e9 1.81502e10i −0.273055 1.19633i
\(184\) 5.42631e9 1.38260e10i 0.348999 0.889235i
\(185\) 4.81767e8 6.42873e9i 0.0302388 0.403508i
\(186\) −1.04716e10 + 1.57834e9i −0.641513 + 0.0966925i
\(187\) 9.78171e9 + 9.07610e9i 0.584962 + 0.542765i
\(188\) 1.12309e10 + 5.40851e9i 0.655698 + 0.315768i
\(189\) 5.46916e10 3.72881e10i 3.11776 2.12565i
\(190\) 2.30960e9 + 5.88476e9i 0.128572 + 0.327595i
\(191\) 4.16124e9 1.28357e9i 0.226242 0.0697864i −0.179562 0.983747i \(-0.557468\pi\)
0.405803 + 0.913960i \(0.366992\pi\)
\(192\) −1.59040e10 + 1.47568e10i −0.844602 + 0.783676i
\(193\) 9.36953e9 1.17490e10i 0.486082 0.609528i −0.476945 0.878933i \(-0.658256\pi\)
0.963027 + 0.269406i \(0.0868272\pi\)
\(194\) 1.88086e9 2.35852e9i 0.0953341 0.119545i
\(195\) −6.81583e9 + 6.32417e9i −0.337569 + 0.313219i
\(196\) −9.78028e9 + 3.01682e9i −0.473368 + 0.146015i
\(197\) −6.18724e9 1.57648e10i −0.292684 0.745746i −0.999273 0.0381223i \(-0.987862\pi\)
0.706589 0.707624i \(-0.250233\pi\)
\(198\) −8.66388e9 + 5.90693e9i −0.400607 + 0.273129i
\(199\) 2.09658e10 + 1.00966e10i 0.947702 + 0.456389i 0.842880 0.538102i \(-0.180858\pi\)
0.104822 + 0.994491i \(0.466573\pi\)
\(200\) −8.51646e9 7.90212e9i −0.376378 0.349228i
\(201\) 1.72681e10 2.60274e9i 0.746210 0.112473i
\(202\) 6.44893e8 8.60550e9i 0.0272525 0.363660i
\(203\) 6.09709e9 1.55351e10i 0.251994 0.642070i
\(204\) 1.09939e10 + 4.81675e10i 0.444443 + 1.94723i
\(205\) 6.84823e8 + 9.13833e9i 0.0270823 + 0.361389i
\(206\) 1.18676e10 + 3.66066e9i 0.459155 + 0.141630i
\(207\) −1.16386e11 + 5.60484e10i −4.40589 + 2.12176i
\(208\) 1.83918e9 3.18555e9i 0.0681301 0.118005i
\(209\) 9.16930e9 + 1.58817e10i 0.332413 + 0.575756i
\(210\) −2.04516e10 1.39437e10i −0.725671 0.494754i
\(211\) 5.55949e9 2.43577e10i 0.193092 0.845990i −0.781839 0.623481i \(-0.785718\pi\)
0.974931 0.222509i \(-0.0714248\pi\)
\(212\) 5.21291e10 + 7.85720e9i 1.77243 + 0.267151i
\(213\) −2.05095e10 2.57182e10i −0.682728 0.856114i
\(214\) −3.51463e9 −0.114556
\(215\) 3.86615e10 2.18450e10i 1.23397 0.697234i
\(216\) −4.96329e10 −1.55141
\(217\) −3.26726e10 4.09702e10i −1.00027 1.25429i
\(218\) 1.00255e10 + 1.51110e9i 0.300642 + 0.0453145i
\(219\) 1.36691e9 5.98881e9i 0.0401551 0.175931i
\(220\) −2.67258e10 1.82213e10i −0.769181 0.524419i
\(221\) −3.42983e9 5.94064e9i −0.0967180 0.167520i
\(222\) −2.58605e9 + 4.47916e9i −0.0714575 + 0.123768i
\(223\) −3.36346e10 + 1.61976e10i −0.910782 + 0.438609i −0.829771 0.558104i \(-0.811529\pi\)
−0.0810108 + 0.996713i \(0.525815\pi\)
\(224\) 3.20423e10 + 9.88373e9i 0.850369 + 0.262304i
\(225\) 7.55099e9 + 1.00761e11i 0.196419 + 2.62102i
\(226\) −9.01686e8 3.95055e9i −0.0229915 0.100732i
\(227\) −1.68386e10 + 4.29041e10i −0.420911 + 1.07246i 0.550453 + 0.834866i \(0.314455\pi\)
−0.971364 + 0.237598i \(0.923640\pi\)
\(228\) −5.07415e9 + 6.77098e10i −0.124353 + 1.65938i
\(229\) −1.37430e10 + 2.07143e9i −0.330235 + 0.0497749i −0.312067 0.950060i \(-0.601021\pi\)
−0.0181676 + 0.999835i \(0.505783\pi\)
\(230\) 2.18192e10 + 2.02452e10i 0.514118 + 0.477032i
\(231\) −6.46934e10 3.11547e10i −1.49488 0.719895i
\(232\) −1.03391e10 + 7.04910e9i −0.234308 + 0.159749i
\(233\) 6.33367e9 + 1.61379e10i 0.140784 + 0.358712i 0.983824 0.179139i \(-0.0573313\pi\)
−0.843039 + 0.537852i \(0.819236\pi\)
\(234\) 5.15102e9 1.58888e9i 0.112311 0.0346433i
\(235\) −3.79919e10 + 3.52513e10i −0.812616 + 0.753998i
\(236\) 1.38260e9 1.73373e9i 0.0290131 0.0363813i
\(237\) 7.64091e10 9.58139e10i 1.57318 1.97270i
\(238\) 1.33867e10 1.24211e10i 0.270444 0.250936i
\(239\) 4.06158e10 1.25283e10i 0.805201 0.248372i 0.135283 0.990807i \(-0.456806\pi\)
0.669918 + 0.742435i \(0.266329\pi\)
\(240\) −4.02423e10 1.02536e11i −0.782947 1.99492i
\(241\) 1.53978e10 1.04980e10i 0.294024 0.200462i −0.407320 0.913286i \(-0.633536\pi\)
0.701343 + 0.712824i \(0.252584\pi\)
\(242\) −6.35834e9 3.06202e9i −0.119172 0.0573903i
\(243\) 1.19327e11 + 1.10719e11i 2.19539 + 2.03702i
\(244\) −3.29226e10 + 4.96229e9i −0.594621 + 0.0896247i
\(245\) 3.18006e9 4.24349e10i 0.0563881 0.752447i
\(246\) 2.68600e9 6.84382e9i 0.0467626 0.119149i
\(247\) −2.09778e9 9.19097e9i −0.0358611 0.157118i
\(248\) 2.93633e9 + 3.91826e10i 0.0492915 + 0.657750i
\(249\) 8.29389e9 + 2.55833e9i 0.136729 + 0.0421754i
\(250\) 1.83497e8 8.83674e7i 0.00297097 0.00143074i
\(251\) −4.59906e8 + 7.96581e8i −0.00731371 + 0.0126677i −0.869659 0.493653i \(-0.835661\pi\)
0.862345 + 0.506320i \(0.168995\pi\)
\(252\) −9.60597e10 1.66380e11i −1.50051 2.59896i
\(253\) 7.13407e10 + 4.86393e10i 1.09470 + 0.746354i
\(254\) 2.01035e9 8.80790e9i 0.0303053 0.132776i
\(255\) −2.03121e11 3.06156e10i −3.00832 0.453431i
\(256\) 1.60713e10 + 2.01528e10i 0.233868 + 0.293262i
\(257\) 2.44318e10 0.349347 0.174673 0.984626i \(-0.444113\pi\)
0.174673 + 0.984626i \(0.444113\pi\)
\(258\) −3.55497e10 + 2.33226e9i −0.499514 + 0.0327709i
\(259\) −2.55935e10 −0.353412
\(260\) 1.03676e10 + 1.30005e10i 0.140701 + 0.176433i
\(261\) 1.07618e11 + 1.62208e10i 1.43550 + 0.216366i
\(262\) −8.12107e9 + 3.55807e10i −0.106477 + 0.466508i
\(263\) −1.23609e10 8.42753e9i −0.159313 0.108617i 0.481040 0.876699i \(-0.340259\pi\)
−0.640352 + 0.768081i \(0.721212\pi\)
\(264\) 2.69199e10 + 4.66267e10i 0.341080 + 0.590768i
\(265\) −1.09592e11 + 1.89819e11i −1.36513 + 2.36447i
\(266\) 2.26118e10 1.08893e10i 0.276929 0.133362i
\(267\) −1.42816e11 4.40529e10i −1.71979 0.530486i
\(268\) −2.33389e9 3.11436e10i −0.0276359 0.368775i
\(269\) 9.81690e9 + 4.30107e10i 0.114311 + 0.500831i 0.999375 + 0.0353600i \(0.0112578\pi\)
−0.885063 + 0.465471i \(0.845885\pi\)
\(270\) 3.63383e10 9.25886e10i 0.416129 1.06028i
\(271\) 1.15748e10 1.54455e11i 0.130363 1.73957i −0.422559 0.906335i \(-0.638868\pi\)
0.552922 0.833233i \(-0.313513\pi\)
\(272\) 8.03572e10 1.21119e10i 0.890153 0.134169i
\(273\) 2.70587e10 + 2.51068e10i 0.294832 + 0.273564i
\(274\) 1.45139e10 + 6.98954e9i 0.155563 + 0.0749154i
\(275\) 5.58028e10 3.80457e10i 0.588381 0.401151i
\(276\) 1.16797e11 + 2.97594e11i 1.21155 + 3.08698i
\(277\) −7.65826e10 + 2.36226e10i −0.781576 + 0.241084i −0.659768 0.751470i \(-0.729345\pi\)
−0.121808 + 0.992554i \(0.538869\pi\)
\(278\) 1.21899e10 1.13106e10i 0.122405 0.113575i
\(279\) 2.13070e11 2.67182e11i 2.10525 2.63990i
\(280\) −5.72622e10 + 7.18046e10i −0.556746 + 0.698137i
\(281\) −2.51769e10 + 2.33608e10i −0.240893 + 0.223516i −0.791375 0.611331i \(-0.790634\pi\)
0.550482 + 0.834847i \(0.314444\pi\)
\(282\) 3.97324e10 1.22558e10i 0.374131 0.115404i
\(283\) −2.69722e9 6.87240e9i −0.0249964 0.0636897i 0.917831 0.396972i \(-0.129939\pi\)
−0.942827 + 0.333282i \(0.891844\pi\)
\(284\) −4.86066e10 + 3.31394e10i −0.443367 + 0.302282i
\(285\) −2.54348e11 1.22488e11i −2.28364 1.09974i
\(286\) −2.64123e9 2.45070e9i −0.0233431 0.0216592i
\(287\) 3.59744e10 5.42226e9i 0.312986 0.0471750i
\(288\) −1.63416e10 + 2.18063e11i −0.139968 + 1.86774i
\(289\) 1.20418e10 3.06820e10i 0.101543 0.258728i
\(290\) −5.58015e9 2.44483e10i −0.0463292 0.202982i
\(291\) 1.00671e10 + 1.34336e11i 0.0822973 + 1.09818i
\(292\) −1.04977e10 3.23812e9i −0.0845031 0.0260657i
\(293\) 1.54321e11 7.43172e10i 1.22327 0.589095i 0.293048 0.956098i \(-0.405330\pi\)
0.930220 + 0.367003i \(0.119616\pi\)
\(294\) −1.70700e10 + 2.95661e10i −0.133251 + 0.230798i
\(295\) 4.60989e9 + 7.98456e9i 0.0354398 + 0.0613835i
\(296\) 1.58559e10 + 1.08103e10i 0.120054 + 0.0818515i
\(297\) 6.42046e10 2.81299e11i 0.478809 2.09780i
\(298\) −3.21021e10 4.83861e9i −0.235809 0.0355425i
\(299\) −2.76748e10 3.47030e10i −0.200246 0.251100i
\(300\) 2.50064e11 1.78240
\(301\) −9.79516e10 1.46575e11i −0.687800 1.02923i
\(302\) −4.35478e10 −0.301256
\(303\) 2.40272e11 + 3.01292e11i 1.63761 + 2.05350i
\(304\) 1.10436e11 + 1.66456e10i 0.741617 + 0.111781i
\(305\) 3.08031e10 1.34957e11i 0.203819 0.892991i
\(306\) 9.83974e10 + 6.70862e10i 0.641560 + 0.437408i
\(307\) 2.71220e10 + 4.69768e10i 0.174261 + 0.301829i 0.939905 0.341435i \(-0.110913\pi\)
−0.765644 + 0.643264i \(0.777580\pi\)
\(308\) −6.42071e10 + 1.11210e11i −0.406541 + 0.704151i
\(309\) −4.99677e11 + 2.40632e11i −3.11800 + 1.50155i
\(310\) −7.52437e10 2.32096e10i −0.462746 0.142738i
\(311\) −1.97418e10 2.63437e11i −0.119665 1.59681i −0.657295 0.753633i \(-0.728299\pi\)
0.537630 0.843181i \(-0.319320\pi\)
\(312\) −6.15882e9 2.69836e10i −0.0367961 0.161214i
\(313\) −8.03813e8 + 2.04808e9i −0.00473375 + 0.0120614i −0.933221 0.359303i \(-0.883015\pi\)
0.928487 + 0.371364i \(0.121110\pi\)
\(314\) −2.13572e9 + 2.84992e10i −0.0123983 + 0.165444i
\(315\) 7.89851e11 1.19051e11i 4.52009 0.681295i
\(316\) −1.60662e11 1.49073e11i −0.906403 0.841019i
\(317\) −2.64345e11 1.27302e11i −1.47030 0.708058i −0.484313 0.874895i \(-0.660930\pi\)
−0.985984 + 0.166837i \(0.946645\pi\)
\(318\) 1.45292e11 9.90581e10i 0.796743 0.543210i
\(319\) −2.65768e10 6.77165e10i −0.143696 0.366131i
\(320\) −1.54153e11 + 4.75498e10i −0.821820 + 0.253498i
\(321\) 1.15053e11 1.06753e11i 0.604817 0.561188i
\(322\) 7.36751e10 9.23857e10i 0.381917 0.478909i
\(323\) 1.29857e11 1.62836e11i 0.663828 0.832414i
\(324\) 4.30614e11 3.99552e11i 2.17088 2.01428i
\(325\) −3.31769e10 + 1.02337e10i −0.164953 + 0.0508814i
\(326\) 2.74526e10 + 6.99481e10i 0.134618 + 0.343002i
\(327\) −3.74084e11 + 2.55046e11i −1.80928 + 1.23354i
\(328\) −2.45774e10 1.18358e10i −0.117247 0.0564633i
\(329\) 1.50827e11 + 1.39947e11i 0.709737 + 0.658540i
\(330\) −1.06690e11 + 1.60809e10i −0.495234 + 0.0746446i
\(331\) −2.61139e9 + 3.48466e10i −0.0119577 + 0.159564i 0.988028 + 0.154273i \(0.0493034\pi\)
−0.999986 + 0.00529144i \(0.998316\pi\)
\(332\) 5.67096e9 1.44494e10i 0.0256174 0.0652720i
\(333\) −3.71397e10 1.62720e11i −0.165516 0.725173i
\(334\) 7.21179e9 + 9.62347e10i 0.0317091 + 0.423129i
\(335\) 1.24079e11 + 3.82735e10i 0.538268 + 0.166034i
\(336\) −3.93987e11 + 1.89734e11i −1.68638 + 0.812118i
\(337\) −1.65037e11 + 2.85852e11i −0.697021 + 1.20728i 0.272473 + 0.962163i \(0.412158\pi\)
−0.969495 + 0.245113i \(0.921175\pi\)
\(338\) −3.07039e10 5.31808e10i −0.127958 0.221631i
\(339\) 1.49511e11 + 1.01935e11i 0.614856 + 0.419201i
\(340\) −8.17461e10 + 3.58153e11i −0.331751 + 1.45350i
\(341\) −2.25869e11 3.40443e10i −0.904612 0.136348i
\(342\) 1.02045e11 + 1.27961e11i 0.403345 + 0.505778i
\(343\) 1.48389e11 0.578865
\(344\) −1.22776e9 + 1.32181e11i −0.00472716 + 0.508926i
\(345\) −1.32918e12 −5.05125
\(346\) 2.42810e10 + 3.04474e10i 0.0910801 + 0.114211i
\(347\) −6.26036e10 9.43597e9i −0.231802 0.0349385i 0.0321141 0.999484i \(-0.489776\pi\)
−0.263916 + 0.964546i \(0.585014\pi\)
\(348\) 5.99344e10 2.62590e11i 0.219063 0.959779i
\(349\) 2.31961e11 + 1.58149e11i 0.836953 + 0.570625i 0.904199 0.427112i \(-0.140469\pi\)
−0.0672460 + 0.997736i \(0.521421\pi\)
\(350\) −4.62147e10 8.00461e10i −0.164617 0.285124i
\(351\) −7.41631e10 + 1.28454e11i −0.260799 + 0.451717i
\(352\) 1.31689e11 6.34181e10i 0.457201 0.220177i
\(353\) −2.14932e10 6.62979e9i −0.0736743 0.0227255i 0.257699 0.966225i \(-0.417036\pi\)
−0.331373 + 0.943500i \(0.607512\pi\)
\(354\) −5.52765e8 7.37614e9i −0.00187079 0.0249640i
\(355\) −5.44267e10 2.38459e11i −0.181880 0.796868i
\(356\) −9.76506e10 + 2.48810e11i −0.322218 + 0.820998i
\(357\) −6.09420e10 + 8.13214e11i −0.198568 + 2.64971i
\(358\) −4.38630e10 + 6.61128e9i −0.141132 + 0.0212722i
\(359\) 3.07482e11 + 2.85302e11i 0.977000 + 0.906524i 0.995638 0.0933026i \(-0.0297424\pi\)
−0.0186376 + 0.999826i \(0.505933\pi\)
\(360\) −5.39619e11 2.59867e11i −1.69327 0.815435i
\(361\) −3.01181e10 + 2.05341e10i −0.0933350 + 0.0636347i
\(362\) −2.87248e10 7.31896e10i −0.0879162 0.224007i
\(363\) 3.01148e11 9.28918e10i 0.910332 0.280800i
\(364\) 4.83916e10 4.49009e10i 0.144482 0.134060i
\(365\) 2.84782e10 3.57105e10i 0.0839836 0.105312i
\(366\) −6.92434e10 + 8.68284e10i −0.201703 + 0.252928i
\(367\) 1.87688e11 1.74149e11i 0.540055 0.501098i −0.362317 0.932055i \(-0.618014\pi\)
0.902373 + 0.430957i \(0.141824\pi\)
\(368\) 5.02479e11 1.54994e11i 1.42825 0.440556i
\(369\) 8.66778e10 + 2.20851e11i 0.243382 + 0.620128i
\(370\) −3.17751e10 + 2.16639e10i −0.0881412 + 0.0600937i
\(371\) 7.83985e11 + 3.77547e11i 2.14845 + 1.03464i
\(372\) −6.19971e11 5.75249e11i −1.67853 1.55744i
\(373\) −4.79886e11 + 7.23311e10i −1.28365 + 0.193480i −0.755207 0.655486i \(-0.772464\pi\)
−0.528447 + 0.848966i \(0.677226\pi\)
\(374\) 5.94861e9 7.93786e10i 0.0157215 0.209788i
\(375\) −3.32276e9 + 8.46625e9i −0.00867677 + 0.0221080i
\(376\) −3.43297e10 1.50408e11i −0.0885777 0.388084i
\(377\) 2.79461e9 + 3.72915e10i 0.00712502 + 0.0950767i
\(378\) −3.77328e11 1.16390e11i −0.950617 0.293226i
\(379\) −4.53000e11 + 2.18153e11i −1.12777 + 0.543107i −0.902286 0.431139i \(-0.858112\pi\)
−0.225488 + 0.974246i \(0.572398\pi\)
\(380\) −2.52437e11 + 4.37233e11i −0.621050 + 1.07569i
\(381\) 2.01721e11 + 3.49391e11i 0.490444 + 0.849474i
\(382\) −2.14637e10 1.46337e10i −0.0515727 0.0351616i
\(383\) 6.63015e10 2.90486e11i 0.157445 0.689811i −0.833157 0.553036i \(-0.813469\pi\)
0.990602 0.136775i \(-0.0436738\pi\)
\(384\) 7.03085e11 + 1.05973e11i 1.65013 + 0.248716i
\(385\) −3.32885e11 4.17424e11i −0.772184 0.968288i
\(386\) −8.96454e10 −0.205535
\(387\) 7.89764e11 8.35464e11i 1.78977 1.89334i
\(388\) 2.40919e11 0.539671
\(389\) 1.35310e11 + 1.69673e11i 0.299610 + 0.375699i 0.908734 0.417376i \(-0.137050\pi\)
−0.609124 + 0.793075i \(0.708479\pi\)
\(390\) 5.48461e10 + 8.26672e9i 0.120048 + 0.0180943i
\(391\) 2.18210e11 9.56039e11i 0.472149 2.06862i
\(392\) 1.04662e11 + 7.13570e10i 0.223872 + 0.152633i
\(393\) −8.14880e11 1.41141e12i −1.72317 2.98461i
\(394\) −5.05136e10 + 8.74920e10i −0.105603 + 0.182909i
\(395\) 8.20994e11 3.95370e11i 1.69689 0.817178i
\(396\) −8.00231e11 2.46839e11i −1.63526 0.504411i
\(397\) 2.96465e10 + 3.95605e11i 0.0598985 + 0.799290i 0.943568 + 0.331179i \(0.107446\pi\)
−0.883670 + 0.468111i \(0.844935\pi\)
\(398\) −3.08895e10 1.35336e11i −0.0617075 0.270358i
\(399\) −4.09455e11 + 1.04327e12i −0.808775 + 2.06073i
\(400\) 3.07375e10 4.10163e11i 0.0600342 0.801100i
\(401\) 4.40685e11 6.64225e10i 0.851095 0.128282i 0.291013 0.956719i \(-0.406008\pi\)
0.560082 + 0.828437i \(0.310770\pi\)
\(402\) −7.63653e10 7.08566e10i −0.145841 0.135320i
\(403\) 1.05796e11 + 5.09484e10i 0.199800 + 0.0962184i
\(404\) 5.69433e11 3.88233e11i 1.06347 0.725064i
\(405\) 8.92285e11 + 2.27351e12i 1.64800 + 4.19902i
\(406\) −9.51321e10 + 2.93444e10i −0.173764 + 0.0535991i
\(407\) −8.17795e10 + 7.58803e10i −0.147730 + 0.137074i
\(408\) 3.81246e11 4.78067e11i 0.681136 0.854118i
\(409\) −1.27439e11 + 1.59804e11i −0.225190 + 0.282379i −0.881572 0.472049i \(-0.843514\pi\)
0.656382 + 0.754429i \(0.272086\pi\)
\(410\) 4.00735e10 3.71828e10i 0.0700374 0.0649852i
\(411\) −6.87418e11 + 2.12040e11i −1.18832 + 0.366547i
\(412\) 3.62361e11 + 9.23280e11i 0.619589 + 1.57869i
\(413\) 3.02422e10 2.06188e10i 0.0511492 0.0348729i
\(414\) 6.94288e11 + 3.34352e11i 1.16155 + 0.559373i
\(415\) 4.73090e10 + 4.38964e10i 0.0782938 + 0.0726461i
\(416\) −7.42992e10 + 1.11988e10i −0.121637 + 0.0183338i
\(417\) −5.54937e10 + 7.40512e11i −0.0898735 + 1.19928i
\(418\) 3.99673e10 1.01835e11i 0.0640341 0.163156i
\(419\) 9.64254e10 + 4.22467e11i 0.152837 + 0.669622i 0.992053 + 0.125824i \(0.0401574\pi\)
−0.839216 + 0.543799i \(0.816985\pi\)
\(420\) −1.47728e11 1.97129e12i −0.231654 3.09121i
\(421\) 6.07035e11 + 1.87245e11i 0.941768 + 0.290497i 0.727367 0.686249i \(-0.240744\pi\)
0.214401 + 0.976746i \(0.431220\pi\)
\(422\) −1.34281e11 + 6.46661e10i −0.206114 + 0.0992592i
\(423\) −6.70892e11 + 1.16202e12i −1.01888 + 1.76474i
\(424\) −3.26229e11 5.65045e11i −0.490203 0.849057i
\(425\) −6.33763e11 4.32092e11i −0.942273 0.642431i
\(426\) −4.36654e10 + 1.91311e11i −0.0642383 + 0.281446i
\(427\) −5.43418e11 8.19071e10i −0.791059 0.119233i
\(428\) −1.75007e11 2.19451e11i −0.252091 0.316112i
\(429\) 1.60899e11 0.229348
\(430\) −2.45680e11 9.90654e10i −0.346547 0.139738i
\(431\) −9.79147e11 −1.36678 −0.683392 0.730052i \(-0.739496\pi\)
−0.683392 + 0.730052i \(0.739496\pi\)
\(432\) −1.09559e12 1.37382e12i −1.51346 1.89782i
\(433\) 7.70600e11 + 1.16149e11i 1.05350 + 0.158789i 0.652884 0.757458i \(-0.273559\pi\)
0.400613 + 0.916247i \(0.368797\pi\)
\(434\) −6.95609e10 + 3.04766e11i −0.0941156 + 0.412347i
\(435\) 9.25257e11 + 6.30830e11i 1.23897 + 0.844716i
\(436\) 4.04853e11 + 7.01226e11i 0.536547 + 0.929327i
\(437\) 6.73844e11 1.16713e12i 0.883879 1.53092i
\(438\) −3.30155e10 + 1.58994e10i −0.0428632 + 0.0206418i
\(439\) 6.15327e11 + 1.89803e11i 0.790707 + 0.243901i 0.663698 0.748001i \(-0.268986\pi\)
0.127009 + 0.991902i \(0.459462\pi\)
\(440\) 2.99168e10 + 3.99211e11i 0.0380520 + 0.507769i
\(441\) −2.45153e11 1.07408e12i −0.308648 1.35227i
\(442\) −1.49500e10 + 3.80919e10i −0.0186312 + 0.0474715i
\(443\) 3.02941e8 4.04247e9i 0.000373716 0.00498689i −0.997014 0.0772233i \(-0.975395\pi\)
0.997388 + 0.0722364i \(0.0230136\pi\)
\(444\) −4.08445e11 + 6.15631e10i −0.498781 + 0.0751791i
\(445\) −8.14634e11 7.55870e11i −0.984788 0.913750i
\(446\) 2.00644e11 + 9.66250e10i 0.240115 + 0.115633i
\(447\) 1.19784e12 8.16673e11i 1.41911 0.967530i
\(448\) 2.33978e11 + 5.96165e11i 0.274425 + 0.699223i
\(449\) 1.12172e12 3.46003e11i 1.30249 0.401765i 0.435544 0.900167i \(-0.356556\pi\)
0.866946 + 0.498403i \(0.166080\pi\)
\(450\) 4.41858e11 4.09985e11i 0.507957 0.471315i
\(451\) 9.88736e10 1.23984e11i 0.112535 0.141114i
\(452\) 2.01771e11 2.53013e11i 0.227371 0.285115i
\(453\) 1.42555e12 1.32272e12i 1.59053 1.47579i
\(454\) 2.62731e11 8.10419e10i 0.290242 0.0895278i
\(455\) 1.00273e11 + 2.55492e11i 0.109682 + 0.279464i
\(456\) 6.94332e11 4.73388e11i 0.752013 0.512714i
\(457\) −1.36873e12 6.59148e11i −1.46790 0.706903i −0.482301 0.876006i \(-0.660199\pi\)
−0.985598 + 0.169103i \(0.945913\pi\)
\(458\) 6.07764e10 + 5.63922e10i 0.0645416 + 0.0598859i
\(459\) −3.24032e12 + 4.88400e11i −3.40747 + 0.513593i
\(460\) −1.77641e11 + 2.37046e12i −0.184984 + 2.46844i
\(461\) −2.43800e10 + 6.21193e10i −0.0251408 + 0.0640578i −0.942893 0.333096i \(-0.891907\pi\)
0.917752 + 0.397154i \(0.130002\pi\)
\(462\) 9.53148e10 + 4.17602e11i 0.0973356 + 0.426455i
\(463\) 6.98140e9 + 9.31603e10i 0.00706038 + 0.0942143i 0.999621 0.0275395i \(-0.00876722\pi\)
−0.992560 + 0.121754i \(0.961148\pi\)
\(464\) −4.23341e11 1.30583e11i −0.423994 0.130785i
\(465\) 3.16809e12 1.52567e12i 3.14239 1.51329i
\(466\) 5.17091e10 8.95628e10i 0.0507961 0.0879814i
\(467\) 3.31742e11 + 5.74594e11i 0.322756 + 0.559030i 0.981056 0.193726i \(-0.0620573\pi\)
−0.658300 + 0.752756i \(0.728724\pi\)
\(468\) 3.55696e11 + 2.42510e11i 0.342747 + 0.233681i
\(469\) 1.14708e11 5.02570e11i 0.109476 0.479644i
\(470\) 3.05716e11 + 4.60792e10i 0.288986 + 0.0435577i
\(471\) −7.95720e11 9.97802e11i −0.745017 0.934222i
\(472\) −2.74450e10 −0.0254521
\(473\) −7.47557e11 1.77946e11i −0.686704 0.163461i
\(474\) −7.31064e11 −0.665201
\(475\) −6.57260e11 8.24178e11i −0.592401 0.742848i
\(476\) 1.44214e12 + 2.17367e11i 1.28758 + 0.194072i
\(477\) −1.26272e12 + 5.53234e12i −1.11680 + 4.89301i
\(478\) −2.09496e11 1.42832e11i −0.183549 0.125141i
\(479\) −6.16789e11 1.06831e12i −0.535336 0.927230i −0.999147 0.0412953i \(-0.986852\pi\)
0.463811 0.885934i \(-0.346482\pi\)
\(480\) −1.12503e12 + 1.94860e12i −0.967335 + 1.67547i
\(481\) 5.16704e10 2.48832e10i 0.0440138 0.0211959i
\(482\) −1.06232e11 3.27683e10i −0.0896489 0.0276530i
\(483\) 3.94338e11 + 5.26207e12i 0.329691 + 4.39941i
\(484\) −1.25415e11 5.49479e11i −0.103883 0.455142i
\(485\) −3.65950e11 + 9.32425e11i −0.300320 + 0.765202i
\(486\) 7.25671e10 9.68341e11i 0.0590033 0.787345i
\(487\) 1.65264e12 2.49095e11i 1.33136 0.200671i 0.555472 0.831535i \(-0.312538\pi\)
0.775893 + 0.630865i \(0.217300\pi\)
\(488\) 3.02066e11 + 2.80276e11i 0.241108 + 0.223716i
\(489\) −3.02327e12 1.45593e12i −2.39104 1.15146i
\(490\) −2.09742e11 + 1.42999e11i −0.164362 + 0.112060i
\(491\) −4.95576e11 1.26271e12i −0.384807 0.980473i −0.983728 0.179665i \(-0.942499\pi\)
0.598921 0.800808i \(-0.295597\pi\)
\(492\) 5.61069e11 1.73067e11i 0.431691 0.133159i
\(493\) −6.05634e11 + 5.61946e11i −0.461741 + 0.428433i
\(494\) −3.50637e10 + 4.39685e10i −0.0264903 + 0.0332178i
\(495\) 2.17086e12 2.72218e12i 1.62521 2.03795i
\(496\) −1.01975e12 + 9.46187e11i −0.756528 + 0.701955i
\(497\) −9.27884e11 + 2.86214e11i −0.682165 + 0.210420i
\(498\) −1.89161e10 4.81976e10i −0.0137816 0.0351150i
\(499\) 1.51265e12 1.03131e12i 1.09216 0.744621i 0.123333 0.992365i \(-0.460642\pi\)
0.968825 + 0.247744i \(0.0796893\pi\)
\(500\) 1.46546e10 + 7.05727e9i 0.0104860 + 0.00504977i
\(501\) −3.15910e12 2.93122e12i −2.24024 2.07864i
\(502\) 5.42577e9 8.17803e8i 0.00381324 0.000574754i
\(503\) 1.72678e11 2.30422e12i 0.120276 1.60498i −0.531832 0.846850i \(-0.678496\pi\)
0.652108 0.758126i \(-0.273885\pi\)
\(504\) −8.68688e11 + 2.21338e12i −0.599690 + 1.52798i
\(505\) 6.37617e11 + 2.79358e12i 0.436263 + 1.91139i
\(506\) −3.84917e10 5.13636e11i −0.0261030 0.348320i
\(507\) 2.62041e12 + 8.08290e11i 1.76130 + 0.543289i
\(508\) 6.50062e11 3.13053e11i 0.433080 0.208560i
\(509\) −1.06282e12 + 1.84086e12i −0.701828 + 1.21560i 0.265997 + 0.963974i \(0.414299\pi\)
−0.967824 + 0.251627i \(0.919034\pi\)
\(510\) 6.12693e11 + 1.06121e12i 0.401030 + 0.694604i
\(511\) −1.49822e11 1.02147e11i −0.0972037 0.0662724i
\(512\) 3.38308e11 1.48223e12i 0.217569 0.953234i
\(513\) −4.45323e12 6.71216e11i −2.83888 0.427892i
\(514\) −9.08708e10 1.13948e11i −0.0574236 0.0720069i
\(515\) −4.12377e12 −2.58322
\(516\) −1.91578e12 2.10357e12i −1.18966 1.30627i
\(517\) 8.96860e11 0.552099
\(518\) 9.51916e10 + 1.19367e11i 0.0580918 + 0.0728448i
\(519\) −1.71965e12 2.59196e11i −1.04037 0.156810i
\(520\) 4.57944e10 2.00638e11i 0.0274661 0.120337i
\(521\) 2.25736e12 + 1.53904e12i 1.34224 + 0.915124i 0.999703 0.0243804i \(-0.00776131\pi\)
0.342537 + 0.939504i \(0.388714\pi\)
\(522\) −3.24618e11 5.62254e11i −0.191362 0.331448i
\(523\) 1.38290e11 2.39526e11i 0.0808228 0.139989i −0.822781 0.568359i \(-0.807579\pi\)
0.903604 + 0.428370i \(0.140912\pi\)
\(524\) −2.62601e12 + 1.26462e12i −1.52162 + 0.732773i
\(525\) 3.94417e12 + 1.21661e12i 2.26589 + 0.698934i
\(526\) 6.66930e9 + 8.89957e10i 0.00379878 + 0.0506912i
\(527\) 5.77267e11 + 2.52917e12i 0.326009 + 1.42834i
\(528\) −6.96388e11 + 1.77437e12i −0.389941 + 0.993552i
\(529\) 3.39588e11 4.53148e12i 0.188539 2.51588i
\(530\) 1.29292e12 1.94876e11i 0.711755 0.107280i
\(531\) 1.74977e11 + 1.62355e11i 0.0955116 + 0.0886218i
\(532\) 1.80584e12 + 8.69649e11i 0.977413 + 0.470697i
\(533\) −6.73564e10 + 4.59228e10i −0.0361499 + 0.0246466i
\(534\) 3.25725e11 + 8.29934e11i 0.173347 + 0.441680i
\(535\) 1.11517e12 3.43984e11i 0.588503 0.181529i
\(536\) −2.83344e11 + 2.62904e11i −0.148276 + 0.137580i
\(537\) 1.23506e12 1.54871e12i 0.640919 0.803687i
\(538\) 1.64086e11 2.05758e11i 0.0844408 0.105885i
\(539\) −5.39811e11 + 5.00872e11i −0.275482 + 0.255610i
\(540\) 7.59059e12 2.34139e12i 3.84152 1.18495i
\(541\) −4.68841e11 1.19459e12i −0.235309 0.599557i 0.763628 0.645656i \(-0.223416\pi\)
−0.998937 + 0.0460996i \(0.985321\pi\)
\(542\) −7.63422e11 + 5.20492e11i −0.379986 + 0.259070i
\(543\) 3.16337e12 + 1.52340e12i 1.56153 + 0.751994i
\(544\) −1.21687e12 1.12909e12i −0.595731 0.552758i
\(545\) −3.32890e12 + 5.01751e11i −1.61628 + 0.243615i
\(546\) 1.64554e10 2.19582e11i 0.00792393 0.105738i
\(547\) −1.15608e12 + 2.94565e12i −0.552136 + 1.40682i 0.333638 + 0.942701i \(0.391724\pi\)
−0.885774 + 0.464117i \(0.846372\pi\)
\(548\) 2.86280e11 + 1.25427e12i 0.135606 + 0.594128i
\(549\) −2.67822e11 3.57383e12i −0.125826 1.67903i
\(550\) −3.84994e11 1.18755e11i −0.179400 0.0553375i
\(551\) −1.02299e12 + 4.92646e11i −0.472813 + 0.227695i
\(552\) 1.97832e12 3.42656e12i 0.906925 1.57084i
\(553\) −1.80879e12 3.13292e12i −0.822480 1.42458i
\(554\) 3.95013e11 + 2.69315e11i 0.178163 + 0.121469i
\(555\) 3.82150e11 1.67431e12i 0.170968 0.749060i
\(556\) 1.31321e12 + 1.97934e11i 0.582770 + 0.0878384i
\(557\) 2.95860e11 + 3.70996e11i 0.130238 + 0.163313i 0.842675 0.538423i \(-0.180980\pi\)
−0.712437 + 0.701736i \(0.752408\pi\)
\(558\) −2.03860e12 −0.890183
\(559\) 3.40260e11 + 2.00686e11i 0.147387 + 0.0869289i
\(560\) −3.25153e12 −1.39714
\(561\) 2.21631e12 + 2.77917e12i 0.944708 + 1.18463i
\(562\) 2.02595e11 + 3.05363e10i 0.0856675 + 0.0129123i
\(563\) 2.27829e11 9.98185e11i 0.0955700 0.418720i −0.904398 0.426689i \(-0.859680\pi\)
0.999968 + 0.00796974i \(0.00253687\pi\)
\(564\) 2.74367e12 + 1.87060e12i 1.14176 + 0.778440i
\(565\) 6.72746e11 + 1.16523e12i 0.277737 + 0.481054i
\(566\) −2.20205e10 + 3.81406e10i −0.00901889 + 0.0156212i
\(567\) 8.73581e12 4.20694e12i 3.54960 1.70940i
\(568\) 6.95741e11 + 2.14608e11i 0.280466 + 0.0865123i
\(569\) −1.98149e10 2.64411e11i −0.00792477 0.105749i 0.991839 0.127499i \(-0.0406951\pi\)
−0.999763 + 0.0217506i \(0.993076\pi\)
\(570\) 3.74740e11 + 1.64184e12i 0.148694 + 0.651470i
\(571\) −1.59313e12 + 4.05924e12i −0.627176 + 1.59802i 0.164020 + 0.986457i \(0.447554\pi\)
−0.791196 + 0.611562i \(0.790541\pi\)
\(572\) 2.15036e10 2.86946e11i 0.00839903 0.112077i
\(573\) 1.14710e12 1.72898e11i 0.444536 0.0670030i
\(574\) −1.59091e11 1.47615e11i −0.0611705 0.0567579i
\(575\) −4.47181e12 2.15351e12i −1.70600 0.821564i
\(576\) −3.45080e12 + 2.35272e12i −1.30623 + 0.890570i
\(577\) −2.13027e11 5.42785e11i −0.0800100 0.203862i 0.885271 0.465075i \(-0.153973\pi\)
−0.965281 + 0.261213i \(0.915877\pi\)
\(578\) −1.87887e11 + 5.79555e10i −0.0700199 + 0.0215983i
\(579\) 2.93457e12 2.72288e12i 1.08515 1.00687i
\(580\) 1.24868e12 1.56579e12i 0.458167 0.574523i
\(581\) 1.59745e11 2.00314e11i 0.0581613 0.0729320i
\(582\) 5.89092e11 5.46597e11i 0.212828 0.197476i
\(583\) 3.62445e12 1.11799e12i 1.29937 0.400803i
\(584\) 4.96734e10 + 1.26566e11i 0.0176712 + 0.0450255i
\(585\) −1.47887e12 + 1.00828e12i −0.522071 + 0.355942i
\(586\) −9.20588e11 4.43332e11i −0.322497 0.155307i
\(587\) 6.25814e11 + 5.80671e11i 0.217557 + 0.201864i 0.781421 0.624004i \(-0.214495\pi\)
−0.563864 + 0.825868i \(0.690686\pi\)
\(588\) −2.69607e12 + 4.06367e11i −0.930107 + 0.140191i
\(589\) −2.66433e11 + 3.55530e12i −0.0912156 + 1.21719i
\(590\) 2.00936e10 5.11977e10i 0.00682691 0.0173947i
\(591\) −1.00390e12 4.39837e12i −0.338491 1.48302i
\(592\) 5.07724e10 + 6.77511e11i 0.0169895 + 0.226709i
\(593\) 2.06207e11 + 6.36065e10i 0.0684790 + 0.0211230i 0.328805 0.944398i \(-0.393354\pi\)
−0.260326 + 0.965521i \(0.583830\pi\)
\(594\) −1.55076e12 + 7.46807e11i −0.511100 + 0.246133i
\(595\) −3.03184e12 + 5.25130e12i −0.991698 + 1.71767i
\(596\) −1.29636e12 2.24536e12i −0.420841 0.728918i
\(597\) 5.12186e12 + 3.49203e12i 1.65023 + 1.12510i
\(598\) −5.89203e10 + 2.58147e11i −0.0188412 + 0.0825489i
\(599\) −3.71443e12 5.59860e11i −1.17888 0.177688i −0.469775 0.882786i \(-0.655665\pi\)
−0.709110 + 0.705098i \(0.750903\pi\)
\(600\) −1.92963e12 2.41969e12i −0.607847 0.762216i
\(601\) −2.64477e12 −0.826898 −0.413449 0.910527i \(-0.635676\pi\)
−0.413449 + 0.910527i \(0.635676\pi\)
\(602\) −3.19300e11 + 1.00201e12i −0.0990867 + 0.310947i
\(603\) 3.36173e12 1.03546
\(604\) −2.16841e12 2.71910e12i −0.662940 0.831301i
\(605\) 2.31714e12 + 3.49253e11i 0.703159 + 0.105984i
\(606\) 5.11546e11 2.24123e12i 0.154084 0.675086i
\(607\) −4.26389e11 2.90707e11i −0.127484 0.0869174i 0.497899 0.867235i \(-0.334105\pi\)
−0.625383 + 0.780318i \(0.715057\pi\)
\(608\) −1.14069e12 1.97573e12i −0.338533 0.586356i
\(609\) 2.22288e12 3.85013e12i 0.654843 1.13422i
\(610\) −7.44001e11 + 3.58292e11i −0.217565 + 0.104774i
\(611\) −4.40566e11 1.35897e11i −0.127887 0.0394478i
\(612\) 7.10752e11 + 9.48433e12i 0.204803 + 2.73291i
\(613\) −1.14935e12 5.03565e12i −0.328762 1.44040i −0.821493 0.570219i \(-0.806858\pi\)
0.492731 0.870182i \(-0.335999\pi\)
\(614\) 1.18220e11 3.01219e11i 0.0335686 0.0855313i
\(615\) −1.82431e11 + 2.43438e12i −0.0514235 + 0.686199i
\(616\) 1.57155e12 2.36874e11i 0.439760 0.0662832i
\(617\) 3.36462e12 + 3.12191e12i 0.934659 + 0.867237i 0.991362 0.131154i \(-0.0418683\pi\)
−0.0567029 + 0.998391i \(0.518059\pi\)
\(618\) 2.98077e12 + 1.43546e12i 0.822017 + 0.395862i
\(619\) 2.92037e12 1.99107e12i 0.799521 0.545104i −0.0932355 0.995644i \(-0.529721\pi\)
0.892756 + 0.450540i \(0.148769\pi\)
\(620\) −2.29747e12 5.85385e12i −0.624435 1.59103i
\(621\) −2.02620e13 + 6.25000e12i −5.46726 + 1.68643i
\(622\) −1.15522e12 + 1.07189e12i −0.309464 + 0.287140i
\(623\) −2.75071e12 + 3.44929e12i −0.731559 + 0.917346i
\(624\) 6.10948e11 7.66105e11i 0.161315 0.202282i
\(625\) 2.77148e12 2.57155e12i 0.726526 0.674117i
\(626\) 1.25418e10 3.86863e9i 0.00326419 0.00100687i
\(627\) 1.78479e12 + 4.54756e12i 0.461192 + 1.17510i
\(628\) −1.88582e12 + 1.28573e12i −0.483817 + 0.329861i
\(629\) 1.14154e12 + 5.49736e11i 0.290779 + 0.140032i
\(630\) −3.49299e12 3.24102e12i −0.883415 0.819690i
\(631\) 4.18884e12 6.31367e11i 1.05187 0.158544i 0.399723 0.916636i \(-0.369106\pi\)
0.652147 + 0.758092i \(0.273868\pi\)
\(632\) −2.02707e11 + 2.70493e12i −0.0505407 + 0.674419i
\(633\) 2.43155e12 6.19549e12i 0.601959 1.53377i
\(634\) 3.89469e11 + 1.70637e12i 0.0957350 + 0.419443i
\(635\) 2.24177e11 + 2.99144e12i 0.0547155 + 0.730127i
\(636\) 1.34197e13 + 4.13944e12i 3.25227 + 1.00319i
\(637\) 3.41067e11 1.64249e11i 0.0820752 0.0395254i
\(638\) −2.16977e11 + 3.75815e11i −0.0518466 + 0.0898010i
\(639\) −3.16620e12 5.48402e12i −0.751250 1.30120i
\(640\) 4.36823e12 + 2.97821e12i 1.02919 + 0.701691i
\(641\) −2.52859e11 + 1.10785e12i −0.0591585 + 0.259190i −0.995855 0.0909511i \(-0.971009\pi\)
0.936697 + 0.350141i \(0.113866\pi\)
\(642\) −9.25813e11 1.39544e11i −0.215088 0.0324193i
\(643\) 4.14240e12 + 5.19441e12i 0.955659 + 1.19836i 0.980069 + 0.198657i \(0.0636578\pi\)
−0.0244101 + 0.999702i \(0.507771\pi\)
\(644\) 9.43705e12 2.16197
\(645\) 1.10514e13 4.21933e12i 2.51420 0.959897i
\(646\) −1.24245e12 −0.280693
\(647\) −4.18897e12 5.25281e12i −0.939806 1.17848i −0.983768 0.179446i \(-0.942569\pi\)
0.0439617 0.999033i \(-0.486002\pi\)
\(648\) −7.18902e12 1.08357e12i −1.60170 0.241418i
\(649\) 3.55025e10 1.55547e11i 0.00785522 0.0344160i
\(650\) 1.71127e11 + 1.16672e11i 0.0376017 + 0.0256364i
\(651\) −6.97985e12 1.20895e13i −1.52311 2.63811i
\(652\) −3.00054e12 + 5.19709e12i −0.650258 + 1.12628i
\(653\) −4.44932e11 + 2.14268e11i −0.0957601 + 0.0461156i −0.481151 0.876638i \(-0.659781\pi\)
0.385391 + 0.922754i \(0.374067\pi\)
\(654\) 2.58088e12 + 7.96095e11i 0.551655 + 0.170163i
\(655\) −9.05595e11 1.20843e13i −0.192242 2.56529i
\(656\) −2.14904e11 9.41556e11i −0.0453083 0.198508i
\(657\) 4.32024e11 1.10078e12i 0.0904615 0.230492i
\(658\) 9.17233e10 1.22396e12i 0.0190749 0.254537i
\(659\) 1.36422e12 2.05623e11i 0.281773 0.0424705i −0.00663500 0.999978i \(-0.502112\pi\)
0.288408 + 0.957507i \(0.406874\pi\)
\(660\) −6.31656e12 5.86092e12i −1.29579 1.20231i
\(661\) 2.07329e12 + 9.98446e11i 0.422430 + 0.203431i 0.633007 0.774146i \(-0.281820\pi\)
−0.210578 + 0.977577i \(0.567535\pi\)
\(662\) 1.72235e11 1.17428e11i 0.0348547 0.0237635i
\(663\) −6.67609e11 1.70104e12i −0.134187 0.341904i
\(664\) −1.83576e11 + 5.66257e10i −0.0366488 + 0.0113046i
\(665\) −6.10881e12 + 5.66815e12i −1.21132 + 1.12394i
\(666\) −6.20779e11 + 7.78432e11i −0.122265 + 0.153316i
\(667\) −3.33316e12 + 4.17965e12i −0.652064 + 0.817662i
\(668\) −5.64972e12 + 5.24218e12i −1.09783 + 1.01863i
\(669\) −9.50302e12 + 2.93129e12i −1.83419 + 0.565772i
\(670\) −2.82992e11 7.21052e11i −0.0542548 0.138239i
\(671\) −1.97924e12 + 1.34942e12i −0.376918 + 0.256978i
\(672\) 8.04805e12 + 3.87574e12i 1.52240 + 0.733149i
\(673\) −2.03633e12 1.88944e12i −0.382631 0.355030i 0.465284 0.885161i \(-0.345952\pi\)
−0.847916 + 0.530131i \(0.822143\pi\)
\(674\) 1.94703e12 2.93467e11i 0.363415 0.0547760i
\(675\) −1.23946e12 + 1.65394e13i −0.229808 + 3.06658i
\(676\) 1.79171e12 4.56520e12i 0.329995 0.840813i
\(677\) −9.74915e11 4.27138e12i −0.178368 0.781483i −0.982384 0.186874i \(-0.940164\pi\)
0.804015 0.594608i \(-0.202693\pi\)
\(678\) −8.06680e10 1.07644e12i −0.0146611 0.195639i
\(679\) 3.79993e12 + 1.17212e12i 0.686059 + 0.211621i
\(680\) 4.09638e12 1.97271e12i 0.734700 0.353813i
\(681\) −6.13903e12 + 1.06331e13i −1.09380 + 1.89452i
\(682\) 6.81310e11 + 1.18006e12i 0.120591 + 0.208870i
\(683\) −2.91296e12 1.98602e12i −0.512202 0.349214i 0.279475 0.960153i \(-0.409840\pi\)
−0.791677 + 0.610939i \(0.790792\pi\)
\(684\) −2.90857e12 + 1.27433e13i −0.508075 + 2.22602i
\(685\) −5.28925e12 7.97226e11i −0.917881 0.138348i
\(686\) −5.51912e11 6.92076e11i −0.0951506 0.119315i
\(687\) −3.70238e12 −0.634127
\(688\) −3.68582e12 + 2.88375e12i −0.627172 + 0.490693i
\(689\) −1.94985e12 −0.329621
\(690\) 4.94372e12 + 6.19923e12i 0.830296 + 1.04116i
\(691\) 1.34686e11 + 2.03006e10i 0.0224735 + 0.00338733i 0.160269 0.987073i \(-0.448764\pi\)
−0.137796 + 0.990461i \(0.544002\pi\)
\(692\) −6.92074e11 + 3.03217e12i −0.114729 + 0.502663i
\(693\) −1.14208e13 7.78658e12i −1.88104 1.28247i
\(694\) 1.88837e11 + 3.27075e11i 0.0309008 + 0.0535217i
\(695\) −2.76079e12 + 4.78183e12i −0.448850 + 0.777431i
\(696\) −3.00337e12 + 1.44635e12i −0.485141 + 0.233631i
\(697\) −1.72102e12 5.30865e11i −0.276210 0.0851994i
\(698\) −1.25154e11 1.67007e12i −0.0199570 0.266308i
\(699\) 1.02766e12 + 4.50247e12i 0.162818 + 0.713352i
\(700\) 2.69683e12 6.87140e12i 0.424533 1.08169i
\(701\) 6.47613e11 8.64179e12i 0.101294 1.35168i −0.682605 0.730788i \(-0.739153\pi\)
0.783899 0.620889i \(-0.213228\pi\)
\(702\) 8.74942e11 1.31876e11i 0.135976 0.0204951i
\(703\) 1.27644e12 + 1.18437e12i 0.197107 + 0.182889i
\(704\) 2.51516e12 + 1.21124e12i 0.385912 + 0.185846i
\(705\) −1.14073e13 + 7.77737e12i −1.73913 + 1.18572i
\(706\) 4.90203e10 + 1.24902e11i 0.00742600 + 0.0189212i
\(707\) 1.08703e13 3.35304e12i 1.63626 0.504721i
\(708\) 4.33037e11 4.01799e11i 0.0647702 0.0600979i
\(709\) 7.44128e12 9.33107e12i 1.10596 1.38683i 0.191821 0.981430i \(-0.438561\pi\)
0.914139 0.405400i \(-0.132868\pi\)
\(710\) −9.09726e11 + 1.14076e12i −0.134353 + 0.168474i
\(711\) 1.72938e13 1.60463e13i 2.53792 2.35485i
\(712\) 3.16107e12 9.75061e11i 0.460972 0.142191i
\(713\) 6.13277e12 + 1.56260e13i 0.888697 + 2.26436i
\(714\) 4.01945e12 2.74041e12i 0.578795 0.394615i
\(715\) 1.07790e12 + 5.19088e11i 0.154241 + 0.0742786i
\(716\) −2.59690e12 2.40957e12i −0.369273 0.342635i
\(717\) 1.11963e13 1.68757e12i 1.58212 0.238466i
\(718\) 1.86991e11 2.49522e12i 0.0262579 0.350387i
\(719\) 2.24093e12 5.70979e12i 0.312714 0.796783i −0.684957 0.728583i \(-0.740179\pi\)
0.997672 0.0681999i \(-0.0217256\pi\)
\(720\) −4.71842e12 2.06727e13i −0.654335 2.86683i
\(721\) 1.22343e12 + 1.63255e13i 0.168604 + 2.24987i
\(722\) 2.07790e11 + 6.40948e10i 0.0284582 + 0.00877819i
\(723\) 4.47285e12 2.15401e12i 0.608782 0.293174i
\(724\) 3.13959e12 5.43794e12i 0.424669 0.735547i
\(725\) 2.09081e12 + 3.62140e12i 0.281057 + 0.486805i
\(726\) −1.55332e12 1.05904e12i −0.207513 0.141480i
\(727\) 4.85646e11 2.12775e12i 0.0644785 0.282499i −0.932402 0.361422i \(-0.882291\pi\)
0.996881 + 0.0789238i \(0.0251484\pi\)
\(728\) −8.07889e11 1.21770e11i −0.106601 0.0160675i
\(729\) 1.19050e13 + 1.49284e13i 1.56119 + 1.95767i
\(730\) −2.72473e11 −0.0355116
\(731\) 1.22054e12 + 8.64161e12i 0.158097 + 1.11935i
\(732\) −8.86939e12 −1.14181
\(733\) −3.04132e12 3.81370e12i −0.389130 0.487954i 0.548224 0.836331i \(-0.315304\pi\)
−0.937354 + 0.348378i \(0.886733\pi\)
\(734\) −1.51030e12 2.27641e11i −0.192057 0.0289479i
\(735\) 2.52250e12 1.10518e13i 0.318815 1.39682i
\(736\) −8.87500e12 6.05087e12i −1.11485 0.760095i
\(737\) −1.12350e12 1.94597e12i −0.140272 0.242958i
\(738\) 7.07651e11 1.22569e12i 0.0878144 0.152099i
\(739\) 9.18724e11 4.42434e11i 0.113314 0.0545693i −0.376368 0.926470i \(-0.622827\pi\)
0.489682 + 0.871901i \(0.337113\pi\)
\(740\) −2.93488e12 9.05289e11i −0.359788 0.110980i
\(741\) −1.87675e11 2.50434e12i −0.0228678 0.305149i
\(742\) −1.15507e12 5.06070e12i −0.139891 0.612904i
\(743\) −7.31488e11 + 1.86380e12i −0.0880557 + 0.224362i −0.968117 0.250497i \(-0.919406\pi\)
0.880062 + 0.474860i \(0.157501\pi\)
\(744\) −7.82215e11 + 1.04379e13i −0.0935939 + 1.24892i
\(745\) 1.06593e13 1.60664e12i 1.26773 0.191079i
\(746\) 2.12222e12 + 1.96913e12i 0.250880 + 0.232782i
\(747\) 1.50538e12 + 7.24952e11i 0.176890 + 0.0851857i
\(748\) 5.25255e12 3.58113e12i 0.613498 0.418276i
\(749\) −1.69263e12 4.31276e12i −0.196515 0.500711i
\(750\) 5.18446e10