Properties

Label 8.21.d.b.3.5
Level 8
Weight 21
Character 8.3
Analytic conductor 20.281
Analytic rank 0
Dimension 18
CM No
Inner twists 2

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Newspace parameters

Level: \( N \) = \( 8 = 2^{3} \)
Weight: \( k \) = \( 21 \)
Character orbit: \([\chi]\) = 8.d (of order \(2\) and degree \(1\))

Newform invariants

Self dual: No
Analytic conductor: \(20.2811012082\)
Analytic rank: \(0\)
Dimension: \(18\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} + \cdots)\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: multiple of \( 2^{153}\cdot 3^{15}\cdot 5^{4}\cdot 7^{2} \)
Sato-Tate group: $\mathrm{SU}(2)[C_{2}]$

Embedding invariants

Embedding label 3.5
Root \(-2443.39 + 2.11221e6i\)
Character \(\chi\) = 8.3
Dual form 8.21.d.b.3.6

$q$-expansion

\(f(q)\) \(=\) \(q\)\(+(-749.926 - 697.272i) q^{2}\) \(-16119.5 q^{3}\) \(+(76200.7 + 1.04580e6i) q^{4}\) \(-8.44883e6i q^{5}\) \(+(1.20885e7 + 1.12397e7i) q^{6}\) \(-6.17349e7i q^{7}\) \(+(6.72064e8 - 8.37407e8i) q^{8}\) \(-3.22694e9 q^{9}\) \(+O(q^{10})\) \(q\)\(+(-749.926 - 697.272i) q^{2}\) \(-16119.5 q^{3}\) \(+(76200.7 + 1.04580e6i) q^{4}\) \(-8.44883e6i q^{5}\) \(+(1.20885e7 + 1.12397e7i) q^{6}\) \(-6.17349e7i q^{7}\) \(+(6.72064e8 - 8.37407e8i) q^{8}\) \(-3.22694e9 q^{9}\) \(+(-5.89113e9 + 6.33599e9i) q^{10}\) \(-2.72862e10 q^{11}\) \(+(-1.22832e9 - 1.68579e10i) q^{12}\) \(-6.05890e10i q^{13}\) \(+(-4.30460e10 + 4.62966e10i) q^{14}\) \(+1.36191e11i q^{15}\) \(+(-1.08790e12 + 1.59382e11i) q^{16}\) \(-3.07828e11 q^{17}\) \(+(2.41997e12 + 2.25006e12i) q^{18}\) \(+7.50547e12 q^{19}\) \(+(8.83581e12 - 6.43807e11i) q^{20}\) \(+9.95139e11i q^{21}\) \(+(2.04626e13 + 1.90259e13i) q^{22}\) \(+5.30705e13i q^{23}\) \(+(-1.08334e13 + 1.34986e13i) q^{24}\) \(+2.39847e13 q^{25}\) \(+(-4.22470e13 + 4.54372e13i) q^{26}\) \(+1.08222e14 q^{27}\) \(+(6.45626e13 - 4.70425e12i) q^{28}\) \(+5.67356e14i q^{29}\) \(+(9.49623e13 - 1.02133e14i) q^{30}\) \(-1.32605e14i q^{31}\) \(+(9.26975e14 + 6.39036e14i) q^{32}\) \(+4.39842e14 q^{33}\) \(+(2.30848e14 + 2.14640e14i) q^{34}\) \(-5.21588e14 q^{35}\) \(+(-2.45895e14 - 3.37475e15i) q^{36}\) \(-2.44065e14i q^{37}\) \(+(-5.62854e15 - 5.23335e15i) q^{38}\) \(+9.76667e14i q^{39}\) \(+(-7.07511e15 - 5.67816e15i) q^{40}\) \(-1.67160e16 q^{41}\) \(+(6.93882e14 - 7.46280e14i) q^{42}\) \(-8.85654e14 q^{43}\) \(+(-2.07923e15 - 2.85360e16i) q^{44}\) \(+2.72639e16i q^{45}\) \(+(3.70045e16 - 3.97989e16i) q^{46}\) \(+7.52013e16i q^{47}\) \(+(1.75364e16 - 2.56916e15i) q^{48}\) \(+7.59811e16 q^{49}\) \(+(-1.79868e16 - 1.67239e16i) q^{50}\) \(+4.96205e15 q^{51}\) \(+(6.33642e16 - 4.61693e15i) q^{52}\) \(+2.98647e17i q^{53}\) \(+(-8.11586e16 - 7.54603e16i) q^{54}\) \(+2.30537e17i q^{55}\) \(+(-5.16973e16 - 4.14898e16i) q^{56}\) \(-1.20985e17 q^{57}\) \(+(3.95601e17 - 4.25475e17i) q^{58}\) \(-6.61197e16 q^{59}\) \(+(-1.42429e17 + 1.03779e16i) q^{60}\) \(+1.14850e17i q^{61}\) \(+(-9.24618e16 + 9.94440e16i) q^{62}\) \(+1.99215e17i q^{63}\) \(+(-2.49581e17 - 1.12558e18i) q^{64}\) \(-5.11906e17 q^{65}\) \(+(-3.29848e17 - 3.06689e17i) q^{66}\) \(+1.03362e18 q^{67}\) \(+(-2.34567e16 - 3.21928e17i) q^{68}\) \(-8.55472e17i q^{69}\) \(+(3.91152e17 + 3.63688e17i) q^{70}\) \(-4.52275e18i q^{71}\) \(+(-2.16871e18 + 2.70227e18i) q^{72}\) \(-3.78599e18 q^{73}\) \(+(-1.70180e17 + 1.83031e17i) q^{74}\) \(-3.86623e17 q^{75}\) \(+(5.71922e17 + 7.84925e18i) q^{76}\) \(+1.68451e18i q^{77}\) \(+(6.81002e17 - 7.32428e17i) q^{78}\) \(-9.29391e18i q^{79}\) \(+(1.34659e18 + 9.19147e18i) q^{80}\) \(+9.50717e18 q^{81}\) \(+(1.25357e19 + 1.16556e19i) q^{82}\) \(+2.33949e19 q^{83}\) \(+(-1.04072e18 + 7.58303e16i) q^{84}\) \(+2.60079e18i q^{85}\) \(+(6.64174e17 + 6.17541e17i) q^{86}\) \(-9.14552e18i q^{87}\) \(+(-1.83381e19 + 2.28497e19i) q^{88}\) \(-4.76585e19 q^{89}\) \(+(1.90103e19 - 2.04459e19i) q^{90}\) \(-3.74046e18 q^{91}\) \(+(-5.55013e19 + 4.04401e18i) q^{92}\) \(+2.13754e18i q^{93}\) \(+(5.24358e19 - 5.63954e19i) q^{94}\) \(-6.34124e19i q^{95}\) \(+(-1.49424e19 - 1.03010e19i) q^{96}\) \(-7.53216e19 q^{97}\) \(+(-5.69801e19 - 5.29794e19i) q^{98}\) \(+8.80512e19 q^{99}\) \(+O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \(18q \) \(\mathstrut -\mathstrut 398q^{2} \) \(\mathstrut -\mathstrut 114228q^{3} \) \(\mathstrut +\mathstrut 724980q^{4} \) \(\mathstrut -\mathstrut 91643748q^{6} \) \(\mathstrut -\mathstrut 3105291368q^{8} \) \(\mathstrut +\mathstrut 10197650262q^{9} \) \(\mathstrut +\mathstrut O(q^{10}) \) \(18q \) \(\mathstrut -\mathstrut 398q^{2} \) \(\mathstrut -\mathstrut 114228q^{3} \) \(\mathstrut +\mathstrut 724980q^{4} \) \(\mathstrut -\mathstrut 91643748q^{6} \) \(\mathstrut -\mathstrut 3105291368q^{8} \) \(\mathstrut +\mathstrut 10197650262q^{9} \) \(\mathstrut +\mathstrut 742754160q^{10} \) \(\mathstrut +\mathstrut 27862395020q^{11} \) \(\mathstrut -\mathstrut 212292734088q^{12} \) \(\mathstrut -\mathstrut 431248136928q^{14} \) \(\mathstrut -\mathstrut 958534870512q^{16} \) \(\mathstrut +\mathstrut 4343925139172q^{17} \) \(\mathstrut -\mathstrut 4517494524426q^{18} \) \(\mathstrut -\mathstrut 360681653556q^{19} \) \(\mathstrut -\mathstrut 32520172742880q^{20} \) \(\mathstrut -\mathstrut 66275482922148q^{22} \) \(\mathstrut +\mathstrut 22289322475152q^{24} \) \(\mathstrut -\mathstrut 395727477008910q^{25} \) \(\mathstrut +\mathstrut 154289718058128q^{26} \) \(\mathstrut -\mathstrut 1208398438889064q^{27} \) \(\mathstrut -\mathstrut 394619539621440q^{28} \) \(\mathstrut +\mathstrut 223250517248160q^{30} \) \(\mathstrut -\mathstrut 2833814588985248q^{32} \) \(\mathstrut +\mathstrut 4461969540487176q^{33} \) \(\mathstrut -\mathstrut 939462769526748q^{34} \) \(\mathstrut +\mathstrut 3615863153468160q^{35} \) \(\mathstrut +\mathstrut 1560521174396700q^{36} \) \(\mathstrut +\mathstrut 12905383833568412q^{38} \) \(\mathstrut +\mathstrut 11813880412973760q^{40} \) \(\mathstrut +\mathstrut 16990829756398820q^{41} \) \(\mathstrut +\mathstrut 38127588900300480q^{42} \) \(\mathstrut -\mathstrut 27498466356753396q^{43} \) \(\mathstrut +\mathstrut 33178844343953144q^{44} \) \(\mathstrut -\mathstrut 21739818881100192q^{46} \) \(\mathstrut +\mathstrut 28364131397385312q^{48} \) \(\mathstrut -\mathstrut 252965388018862638q^{49} \) \(\mathstrut +\mathstrut 41705619584456530q^{50} \) \(\mathstrut -\mathstrut 34182574557901800q^{51} \) \(\mathstrut -\mathstrut 44583718369992480q^{52} \) \(\mathstrut -\mathstrut 579400710808894920q^{54} \) \(\mathstrut -\mathstrut 505574909383001472q^{56} \) \(\mathstrut -\mathstrut 522453489061123704q^{57} \) \(\mathstrut -\mathstrut 677523738697093680q^{58} \) \(\mathstrut +\mathstrut 93112194700366220q^{59} \) \(\mathstrut +\mathstrut 1631640690429240000q^{60} \) \(\mathstrut +\mathstrut 1780090172849178240q^{62} \) \(\mathstrut +\mathstrut 175441813011570240q^{64} \) \(\mathstrut +\mathstrut 1575343920200472960q^{65} \) \(\mathstrut +\mathstrut 8001047667731567880q^{66} \) \(\mathstrut -\mathstrut 1452645642074335668q^{67} \) \(\mathstrut +\mathstrut 1153770320813215592q^{68} \) \(\mathstrut -\mathstrut 6151558949299572480q^{70} \) \(\mathstrut -\mathstrut 5306529204268842936q^{72} \) \(\mathstrut +\mathstrut 9882821313863175972q^{73} \) \(\mathstrut -\mathstrut 5642095430673385488q^{74} \) \(\mathstrut +\mathstrut 13414715768769378060q^{75} \) \(\mathstrut -\mathstrut 8416781249057544840q^{76} \) \(\mathstrut -\mathstrut 14599907290310144160q^{78} \) \(\mathstrut -\mathstrut 22104885212702947200q^{80} \) \(\mathstrut -\mathstrut 32315102667184036518q^{81} \) \(\mathstrut +\mathstrut 10320950271478847652q^{82} \) \(\mathstrut -\mathstrut 46425529968268557748q^{83} \) \(\mathstrut +\mathstrut 17095266896298568320q^{84} \) \(\mathstrut +\mathstrut 33555485282446075868q^{86} \) \(\mathstrut +\mathstrut 32344350945394345872q^{88} \) \(\mathstrut -\mathstrut 28075170672250840156q^{89} \) \(\mathstrut -\mathstrut 33204348719592139440q^{90} \) \(\mathstrut +\mathstrut 161045136122144660736q^{91} \) \(\mathstrut -\mathstrut 932896292396925120q^{92} \) \(\mathstrut -\mathstrut 107259275077774974528q^{94} \) \(\mathstrut +\mathstrut 68580843917215697472q^{96} \) \(\mathstrut +\mathstrut 127276645173366650724q^{97} \) \(\mathstrut +\mathstrut 154837385163137764402q^{98} \) \(\mathstrut +\mathstrut 62802542261652714084q^{99} \) \(\mathstrut +\mathstrut O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/8\mathbb{Z}\right)^\times\).

\(n\) \(5\) \(7\)
\(\chi(n)\) \(-1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −749.926 697.272i −0.732349 0.680929i
\(3\) −16119.5 −0.272986 −0.136493 0.990641i \(-0.543583\pi\)
−0.136493 + 0.990641i \(0.543583\pi\)
\(4\) 76200.7 + 1.04580e6i 0.0726707 + 0.997356i
\(5\) 8.44883e6i 0.865160i −0.901596 0.432580i \(-0.857603\pi\)
0.901596 0.432580i \(-0.142397\pi\)
\(6\) 1.20885e7 + 1.12397e7i 0.199921 + 0.185884i
\(7\) 6.17349e7i 0.218550i −0.994012 0.109275i \(-0.965147\pi\)
0.994012 0.109275i \(-0.0348529\pi\)
\(8\) 6.72064e8 8.37407e8i 0.625909 0.779896i
\(9\) −3.22694e9 −0.925479
\(10\) −5.89113e9 + 6.33599e9i −0.589113 + 0.633599i
\(11\) −2.72862e10 −1.05200 −0.526001 0.850484i \(-0.676309\pi\)
−0.526001 + 0.850484i \(0.676309\pi\)
\(12\) −1.22832e9 1.68579e10i −0.0198381 0.272264i
\(13\) 6.05890e10i 0.439501i −0.975556 0.219751i \(-0.929476\pi\)
0.975556 0.219751i \(-0.0705244\pi\)
\(14\) −4.30460e10 + 4.62966e10i −0.148817 + 0.160055i
\(15\) 1.36191e11i 0.236176i
\(16\) −1.08790e12 + 1.59382e11i −0.989438 + 0.144957i
\(17\) −3.07828e11 −0.152693 −0.0763466 0.997081i \(-0.524326\pi\)
−0.0763466 + 0.997081i \(0.524326\pi\)
\(18\) 2.41997e12 + 2.25006e12i 0.677774 + 0.630186i
\(19\) 7.50547e12 1.22417 0.612085 0.790792i \(-0.290331\pi\)
0.612085 + 0.790792i \(0.290331\pi\)
\(20\) 8.83581e12 6.43807e11i 0.862873 0.0628717i
\(21\) 9.95139e11i 0.0596610i
\(22\) 2.04626e13 + 1.90259e13i 0.770433 + 0.716339i
\(23\) 5.30705e13i 1.28107i 0.767927 + 0.640537i \(0.221288\pi\)
−0.767927 + 0.640537i \(0.778712\pi\)
\(24\) −1.08334e13 + 1.34986e13i −0.170864 + 0.212901i
\(25\) 2.39847e13 0.251498
\(26\) −4.22470e13 + 4.54372e13i −0.299269 + 0.321869i
\(27\) 1.08222e14 0.525629
\(28\) 6.45626e13 4.70425e12i 0.217972 0.0158822i
\(29\) 5.67356e14i 1.34858i 0.738468 + 0.674288i \(0.235549\pi\)
−0.738468 + 0.674288i \(0.764451\pi\)
\(30\) 9.49623e13 1.02133e14i 0.160819 0.172964i
\(31\) 1.32605e14i 0.161787i −0.996723 0.0808935i \(-0.974223\pi\)
0.996723 0.0808935i \(-0.0257774\pi\)
\(32\) 9.26975e14 + 6.39036e14i 0.823320 + 0.567578i
\(33\) 4.39842e14 0.287182
\(34\) 2.30848e14 + 2.14640e14i 0.111825 + 0.103973i
\(35\) −5.21588e14 −0.189081
\(36\) −2.45895e14 3.37475e15i −0.0672551 0.923032i
\(37\) 2.44065e14i 0.0507561i −0.999678 0.0253781i \(-0.991921\pi\)
0.999678 0.0253781i \(-0.00807896\pi\)
\(38\) −5.62854e15 5.23335e15i −0.896520 0.833574i
\(39\) 9.76667e14i 0.119978i
\(40\) −7.07511e15 5.67816e15i −0.674735 0.541511i
\(41\) −1.67160e16 −1.24535 −0.622677 0.782479i \(-0.713955\pi\)
−0.622677 + 0.782479i \(0.713955\pi\)
\(42\) 6.93882e14 7.46280e14i 0.0406249 0.0436927i
\(43\) −8.85654e14 −0.0409807 −0.0204904 0.999790i \(-0.506523\pi\)
−0.0204904 + 0.999790i \(0.506523\pi\)
\(44\) −2.07923e15 2.85360e16i −0.0764497 1.04922i
\(45\) 2.72639e16i 0.800687i
\(46\) 3.70045e16 3.97989e16i 0.872321 0.938194i
\(47\) 7.52013e16i 1.42971i 0.699274 + 0.714853i \(0.253507\pi\)
−0.699274 + 0.714853i \(0.746493\pi\)
\(48\) 1.75364e16 2.56916e15i 0.270103 0.0395712i
\(49\) 7.59811e16 0.952236
\(50\) −1.79868e16 1.67239e16i −0.184184 0.171252i
\(51\) 4.96205e15 0.0416831
\(52\) 6.33642e16 4.61693e15i 0.438339 0.0319389i
\(53\) 2.98647e17i 1.70765i 0.520560 + 0.853825i \(0.325723\pi\)
−0.520560 + 0.853825i \(0.674277\pi\)
\(54\) −8.11586e16 7.54603e16i −0.384944 0.357916i
\(55\) 2.30537e17i 0.910150i
\(56\) −5.16973e16 4.14898e16i −0.170446 0.136792i
\(57\) −1.20985e17 −0.334181
\(58\) 3.95601e17 4.25475e17i 0.918285 0.987629i
\(59\) −6.61197e16 −0.129363 −0.0646816 0.997906i \(-0.520603\pi\)
−0.0646816 + 0.997906i \(0.520603\pi\)
\(60\) −1.42429e17 + 1.03779e16i −0.235552 + 0.0171631i
\(61\) 1.14850e17i 0.161002i 0.996755 + 0.0805011i \(0.0256520\pi\)
−0.996755 + 0.0805011i \(0.974348\pi\)
\(62\) −9.24618e16 + 9.94440e16i −0.110165 + 0.118485i
\(63\) 1.99215e17i 0.202263i
\(64\) −2.49581e17 1.12558e18i −0.216477 0.976288i
\(65\) −5.11906e17 −0.380239
\(66\) −3.29848e17 3.06689e17i −0.210317 0.195550i
\(67\) 1.03362e18 0.567041 0.283520 0.958966i \(-0.408498\pi\)
0.283520 + 0.958966i \(0.408498\pi\)
\(68\) −2.34567e16 3.21928e17i −0.0110963 0.152289i
\(69\) 8.55472e17i 0.349715i
\(70\) 3.91152e17 + 3.63688e17i 0.138473 + 0.128751i
\(71\) 4.52275e18i 1.38937i −0.719313 0.694687i \(-0.755543\pi\)
0.719313 0.694687i \(-0.244457\pi\)
\(72\) −2.16871e18 + 2.70227e18i −0.579265 + 0.721778i
\(73\) −3.78599e18 −0.880949 −0.440475 0.897765i \(-0.645190\pi\)
−0.440475 + 0.897765i \(0.645190\pi\)
\(74\) −1.70180e17 + 1.83031e17i −0.0345613 + 0.0371712i
\(75\) −3.86623e17 −0.0686555
\(76\) 5.71922e17 + 7.84925e18i 0.0889613 + 1.22093i
\(77\) 1.68451e18i 0.229915i
\(78\) 6.81002e17 7.32428e17i 0.0816963 0.0878656i
\(79\) 9.29391e18i 0.981584i −0.871277 0.490792i \(-0.836707\pi\)
0.871277 0.490792i \(-0.163293\pi\)
\(80\) 1.34659e18 + 9.19147e18i 0.125411 + 0.856022i
\(81\) 9.50717e18 0.781990
\(82\) 1.25357e19 + 1.16556e19i 0.912035 + 0.847998i
\(83\) 2.33949e19 1.50779 0.753895 0.656995i \(-0.228173\pi\)
0.753895 + 0.656995i \(0.228173\pi\)
\(84\) −1.04072e18 + 7.58303e16i −0.0595033 + 0.00433561i
\(85\) 2.60079e18i 0.132104i
\(86\) 6.64174e17 + 6.17541e17i 0.0300122 + 0.0279050i
\(87\) 9.14552e18i 0.368142i
\(88\) −1.83381e19 + 2.28497e19i −0.658457 + 0.820453i
\(89\) −4.76585e19 −1.52841 −0.764206 0.644972i \(-0.776869\pi\)
−0.764206 + 0.644972i \(0.776869\pi\)
\(90\) 1.90103e19 2.04459e19i 0.545211 0.586383i
\(91\) −3.74046e18 −0.0960530
\(92\) −5.55013e19 + 4.04401e18i −1.27769 + 0.0930966i
\(93\) 2.13754e18i 0.0441656i
\(94\) 5.24358e19 5.63954e19i 0.973529 1.04704i
\(95\) 6.34124e19i 1.05910i
\(96\) −1.49424e19 1.03010e19i −0.224755 0.154941i
\(97\) −7.53216e19 −1.02142 −0.510708 0.859754i \(-0.670617\pi\)
−0.510708 + 0.859754i \(0.670617\pi\)
\(98\) −5.69801e19 5.29794e19i −0.697369 0.648405i
\(99\) 8.80512e19 0.973606
\(100\) 1.82765e18 + 2.50833e19i 0.0182765 + 0.250833i
\(101\) 1.89365e20i 1.71430i 0.515067 + 0.857150i \(0.327767\pi\)
−0.515067 + 0.857150i \(0.672233\pi\)
\(102\) −3.72117e18 3.45990e18i −0.0305266 0.0283832i
\(103\) 1.17747e19i 0.0876148i −0.999040 0.0438074i \(-0.986051\pi\)
0.999040 0.0438074i \(-0.0139488\pi\)
\(104\) −5.07377e19 4.07197e19i −0.342766 0.275088i
\(105\) 8.40776e18 0.0516163
\(106\) 2.08238e20 2.23963e20i 1.16279 1.25060i
\(107\) 1.12580e20 0.572300 0.286150 0.958185i \(-0.407624\pi\)
0.286150 + 0.958185i \(0.407624\pi\)
\(108\) 8.24661e18 + 1.13179e20i 0.0381978 + 0.524239i
\(109\) 4.23608e20i 1.78937i 0.446701 + 0.894683i \(0.352599\pi\)
−0.446701 + 0.894683i \(0.647401\pi\)
\(110\) 1.60747e20 1.72885e20i 0.619748 0.666548i
\(111\) 3.93422e18i 0.0138557i
\(112\) 9.83943e18 + 6.71613e19i 0.0316803 + 0.216242i
\(113\) −5.17406e20 −1.52422 −0.762109 0.647449i \(-0.775836\pi\)
−0.762109 + 0.647449i \(0.775836\pi\)
\(114\) 9.07296e19 + 8.43592e19i 0.244737 + 0.227554i
\(115\) 4.48383e20 1.10833
\(116\) −5.93343e20 + 4.32329e19i −1.34501 + 0.0980019i
\(117\) 1.95517e20i 0.406749i
\(118\) 4.95849e19 + 4.61034e19i 0.0947390 + 0.0880872i
\(119\) 1.90038e19i 0.0333711i
\(120\) 1.14048e20 + 9.15293e19i 0.184193 + 0.147825i
\(121\) 7.17883e19 0.106709
\(122\) 8.00815e19 8.61288e19i 0.109631 0.117910i
\(123\) 2.69454e20 0.339964
\(124\) 1.38679e20 1.01046e19i 0.161359 0.0117572i
\(125\) 1.00839e21i 1.08275i
\(126\) 1.38907e20 1.49397e20i 0.137727 0.148127i
\(127\) 1.68672e21i 1.54527i −0.634848 0.772637i \(-0.718937\pi\)
0.634848 0.772637i \(-0.281063\pi\)
\(128\) −5.97670e20 + 1.01813e21i −0.506246 + 0.862389i
\(129\) 1.42763e19 0.0111872
\(130\) 3.83891e20 + 3.56938e20i 0.278468 + 0.258916i
\(131\) −1.48144e21 −0.995340 −0.497670 0.867367i \(-0.665811\pi\)
−0.497670 + 0.867367i \(0.665811\pi\)
\(132\) 3.35162e19 + 4.59988e20i 0.0208697 + 0.286422i
\(133\) 4.63350e20i 0.267542i
\(134\) −7.75141e20 7.20716e20i −0.415272 0.386115i
\(135\) 9.14351e20i 0.454753i
\(136\) −2.06880e20 + 2.57778e20i −0.0955719 + 0.119085i
\(137\) −5.06132e20 −0.217299 −0.108650 0.994080i \(-0.534653\pi\)
−0.108650 + 0.994080i \(0.534653\pi\)
\(138\) −5.96496e20 + 6.41540e20i −0.238131 + 0.256114i
\(139\) 8.38666e20 0.311488 0.155744 0.987797i \(-0.450223\pi\)
0.155744 + 0.987797i \(0.450223\pi\)
\(140\) −3.97454e19 5.45478e20i −0.0137406 0.188581i
\(141\) 1.21221e21i 0.390290i
\(142\) −3.15358e21 + 3.39172e21i −0.946065 + 1.01751i
\(143\) 1.65325e21i 0.462357i
\(144\) 3.51059e21 5.14317e20i 0.915704 0.134155i
\(145\) 4.79349e21 1.16673
\(146\) 2.83921e21 + 2.63986e21i 0.645163 + 0.599864i
\(147\) −1.22478e21 −0.259947
\(148\) 2.55244e20 1.85979e19i 0.0506219 0.00368848i
\(149\) 2.35561e21i 0.436758i −0.975864 0.218379i \(-0.929923\pi\)
0.975864 0.218379i \(-0.0700769\pi\)
\(150\) 2.89938e20 + 2.69581e20i 0.0502798 + 0.0467495i
\(151\) 1.21038e22i 1.96405i 0.188748 + 0.982026i \(0.439557\pi\)
−0.188748 + 0.982026i \(0.560443\pi\)
\(152\) 5.04416e21 6.28514e21i 0.766219 0.954726i
\(153\) 9.93345e20 0.141314
\(154\) 1.17456e21 1.26326e21i 0.156556 0.168378i
\(155\) −1.12036e21 −0.139972
\(156\) −1.02140e21 + 7.44227e19i −0.119660 + 0.00871886i
\(157\) 3.90370e21i 0.429022i 0.976722 + 0.214511i \(0.0688159\pi\)
−0.976722 + 0.214511i \(0.931184\pi\)
\(158\) −6.48038e21 + 6.96974e21i −0.668389 + 0.718862i
\(159\) 4.81405e21i 0.466165i
\(160\) 5.39911e21 7.83186e21i 0.491046 0.712303i
\(161\) 3.27630e21 0.279979
\(162\) −7.12967e21 6.62908e21i −0.572689 0.532480i
\(163\) −1.79709e22 −1.35735 −0.678677 0.734437i \(-0.737446\pi\)
−0.678677 + 0.734437i \(0.737446\pi\)
\(164\) −1.27377e21 1.74816e22i −0.0905007 1.24206i
\(165\) 3.71615e21i 0.248458i
\(166\) −1.75445e22 1.63126e22i −1.10423 1.02670i
\(167\) 2.50440e22i 1.48436i 0.670202 + 0.742179i \(0.266207\pi\)
−0.670202 + 0.742179i \(0.733793\pi\)
\(168\) 8.33337e20 + 6.68797e20i 0.0465294 + 0.0373424i
\(169\) 1.53339e22 0.806838
\(170\) 1.81346e21 1.95040e21i 0.0899535 0.0967462i
\(171\) −2.42197e22 −1.13294
\(172\) −6.74874e19 9.26220e20i −0.00297809 0.0408723i
\(173\) 1.68015e22i 0.699658i −0.936814 0.349829i \(-0.886240\pi\)
0.936814 0.349829i \(-0.113760\pi\)
\(174\) −6.37691e21 + 6.85846e21i −0.250679 + 0.269609i
\(175\) 1.48070e21i 0.0549649i
\(176\) 2.96846e22 4.34893e21i 1.04089 0.152495i
\(177\) 1.06582e21 0.0353143
\(178\) 3.57404e22 + 3.32309e22i 1.11933 + 1.04074i
\(179\) 4.08453e22 1.20952 0.604759 0.796409i \(-0.293270\pi\)
0.604759 + 0.796409i \(0.293270\pi\)
\(180\) −2.85127e22 + 2.07753e21i −0.798570 + 0.0581865i
\(181\) 5.55662e20i 0.0147240i 0.999973 + 0.00736199i \(0.00234341\pi\)
−0.999973 + 0.00736199i \(0.997657\pi\)
\(182\) 2.80507e21 + 2.60812e21i 0.0703443 + 0.0654053i
\(183\) 1.85133e21i 0.0439513i
\(184\) 4.44416e22 + 3.56668e22i 0.999106 + 0.801836i
\(185\) −2.06206e21 −0.0439122
\(186\) 1.49044e21 1.60299e21i 0.0300736 0.0323446i
\(187\) 8.39948e21 0.160634
\(188\) −7.86458e22 + 5.73040e21i −1.42593 + 0.103898i
\(189\) 6.68109e21i 0.114876i
\(190\) −4.42157e22 + 4.75546e22i −0.721174 + 0.775633i
\(191\) 5.34999e22i 0.827979i −0.910282 0.413989i \(-0.864135\pi\)
0.910282 0.413989i \(-0.135865\pi\)
\(192\) 4.02313e21 + 1.81439e22i 0.0590951 + 0.266513i
\(193\) −2.35465e22 −0.328362 −0.164181 0.986430i \(-0.552498\pi\)
−0.164181 + 0.986430i \(0.552498\pi\)
\(194\) 5.64856e22 + 5.25196e22i 0.748033 + 0.695511i
\(195\) 8.25169e21 0.103800
\(196\) 5.78981e21 + 7.94613e22i 0.0691996 + 0.949718i
\(197\) 3.39087e22i 0.385167i −0.981281 0.192583i \(-0.938313\pi\)
0.981281 0.192583i \(-0.0616866\pi\)
\(198\) −6.60318e22 6.13956e22i −0.713019 0.662957i
\(199\) 7.22475e22i 0.741809i −0.928671 0.370904i \(-0.879048\pi\)
0.928671 0.370904i \(-0.120952\pi\)
\(200\) 1.61193e22 2.00850e22i 0.157415 0.196143i
\(201\) −1.66615e22 −0.154794
\(202\) 1.32039e23 1.42010e23i 1.16732 1.25547i
\(203\) 3.50257e22 0.294731
\(204\) 3.78112e20 + 5.18933e21i 0.00302914 + 0.0415729i
\(205\) 1.41230e23i 1.07743i
\(206\) −8.21016e21 + 8.83015e21i −0.0596595 + 0.0641646i
\(207\) 1.71255e23i 1.18561i
\(208\) 9.65679e21 + 6.59147e22i 0.0637088 + 0.434859i
\(209\) −2.04796e23 −1.28783
\(210\) −6.30519e21 5.86249e21i −0.0378012 0.0351471i
\(211\) 1.30256e23 0.744688 0.372344 0.928095i \(-0.378554\pi\)
0.372344 + 0.928095i \(0.378554\pi\)
\(212\) −3.12326e23 + 2.27571e22i −1.70314 + 0.124096i
\(213\) 7.29046e22i 0.379279i
\(214\) −8.44266e22 7.84988e22i −0.419123 0.389696i
\(215\) 7.48274e21i 0.0354549i
\(216\) 7.27323e22 9.06261e22i 0.328995 0.409936i
\(217\) −8.18637e21 −0.0353585
\(218\) 2.95370e23 3.17675e23i 1.21843 1.31044i
\(219\) 6.10285e22 0.240487
\(220\) −2.41096e23 + 1.75671e22i −0.907744 + 0.0661412i
\(221\) 1.86510e22i 0.0671088i
\(222\) 2.74322e21 2.95037e21i 0.00943476 0.0101472i
\(223\) 4.41000e23i 1.45007i 0.688710 + 0.725037i \(0.258177\pi\)
−0.688710 + 0.725037i \(0.741823\pi\)
\(224\) 3.94509e22 5.72268e22i 0.124044 0.179936i
\(225\) −7.73974e22 −0.232756
\(226\) 3.88016e23 + 3.60772e23i 1.11626 + 1.03788i
\(227\) −1.05199e23 −0.289568 −0.144784 0.989463i \(-0.546249\pi\)
−0.144784 + 0.989463i \(0.546249\pi\)
\(228\) −9.21912e21 1.26526e23i −0.0242852 0.333298i
\(229\) 6.05893e23i 1.52771i 0.645387 + 0.763855i \(0.276696\pi\)
−0.645387 + 0.763855i \(0.723304\pi\)
\(230\) −3.36254e23 3.12645e23i −0.811688 0.754698i
\(231\) 2.71536e22i 0.0627636i
\(232\) 4.75108e23 + 3.81299e23i 1.05175 + 0.844085i
\(233\) −1.04700e23 −0.222018 −0.111009 0.993819i \(-0.535408\pi\)
−0.111009 + 0.993819i \(0.535408\pi\)
\(234\) 1.36329e23 1.46623e23i 0.276967 0.297882i
\(235\) 6.35363e23 1.23693
\(236\) −5.03837e21 6.91482e22i −0.00940091 0.129021i
\(237\) 1.49814e23i 0.267959i
\(238\) 1.32508e22 1.42514e22i 0.0227233 0.0244393i
\(239\) 6.86162e22i 0.112836i −0.998407 0.0564180i \(-0.982032\pi\)
0.998407 0.0564180i \(-0.0179680\pi\)
\(240\) −2.17064e22 1.48162e23i −0.0342354 0.233682i
\(241\) 7.40316e23 1.12007 0.560037 0.828467i \(-0.310787\pi\)
0.560037 + 0.828467i \(0.310787\pi\)
\(242\) −5.38359e22 5.00560e22i −0.0781481 0.0726611i
\(243\) −5.30599e23 −0.739101
\(244\) −1.20110e23 + 8.75163e21i −0.160576 + 0.0117001i
\(245\) 6.41951e23i 0.823836i
\(246\) −2.02070e23 1.87883e23i −0.248973 0.231492i
\(247\) 4.54749e23i 0.538025i
\(248\) −1.11045e23 8.91192e22i −0.126177 0.101264i
\(249\) −3.77116e23 −0.411605
\(250\) −7.03119e23 + 7.56214e23i −0.737274 + 0.792948i
\(251\) −1.33787e24 −1.34796 −0.673980 0.738750i \(-0.735417\pi\)
−0.673980 + 0.738750i \(0.735417\pi\)
\(252\) −2.08340e23 + 1.51803e22i −0.201728 + 0.0146986i
\(253\) 1.44809e24i 1.34769i
\(254\) −1.17610e24 + 1.26491e24i −1.05222 + 1.13168i
\(255\) 4.19235e22i 0.0360625i
\(256\) 1.15812e24 3.46783e23i 0.957975 0.286852i
\(257\) −4.81853e23 −0.383339 −0.191670 0.981459i \(-0.561390\pi\)
−0.191670 + 0.981459i \(0.561390\pi\)
\(258\) −1.07062e22 9.95448e21i −0.00819290 0.00761766i
\(259\) −1.50673e22 −0.0110927
\(260\) −3.90076e22 5.35353e23i −0.0276322 0.379234i
\(261\) 1.83083e24i 1.24808i
\(262\) 1.11097e24 + 1.03297e24i 0.728936 + 0.677756i
\(263\) 5.98683e23i 0.378128i −0.981965 0.189064i \(-0.939455\pi\)
0.981965 0.189064i \(-0.0605454\pi\)
\(264\) 2.95602e23 3.68327e23i 0.179750 0.223972i
\(265\) 2.52321e24 1.47739
\(266\) −3.23081e23 + 3.47478e23i −0.182177 + 0.195934i
\(267\) 7.68234e23 0.417235
\(268\) 7.87629e22 + 1.08097e24i 0.0412072 + 0.565542i
\(269\) 5.30086e22i 0.0267192i −0.999911 0.0133596i \(-0.995747\pi\)
0.999911 0.0133596i \(-0.00425262\pi\)
\(270\) −6.37551e23 + 6.85695e23i −0.309654 + 0.333038i
\(271\) 3.52114e24i 1.64812i 0.566500 + 0.824062i \(0.308297\pi\)
−0.566500 + 0.824062i \(0.691703\pi\)
\(272\) 3.34886e23 4.90623e22i 0.151080 0.0221339i
\(273\) 6.02945e22 0.0262211
\(274\) 3.79561e23 + 3.52911e23i 0.159139 + 0.147965i
\(275\) −6.54453e23 −0.264577
\(276\) 8.94655e23 6.51876e22i 0.348791 0.0254140i
\(277\) 6.25325e23i 0.235130i 0.993065 + 0.117565i \(0.0375088\pi\)
−0.993065 + 0.117565i \(0.962491\pi\)
\(278\) −6.28937e23 5.84778e23i −0.228118 0.212101i
\(279\) 4.27910e23i 0.149730i
\(280\) −3.50541e23 + 4.36782e23i −0.118347 + 0.147463i
\(281\) 4.32696e24 1.40968 0.704838 0.709368i \(-0.251020\pi\)
0.704838 + 0.709368i \(0.251020\pi\)
\(282\) −8.45241e23 + 9.09068e23i −0.265760 + 0.285828i
\(283\) −4.60817e24 −1.39851 −0.699253 0.714874i \(-0.746484\pi\)
−0.699253 + 0.714874i \(0.746484\pi\)
\(284\) 4.72991e24 3.44637e23i 1.38570 0.100967i
\(285\) 1.02218e24i 0.289120i
\(286\) 1.15276e24 1.23981e24i 0.314832 0.338606i
\(287\) 1.03196e24i 0.272172i
\(288\) −2.99130e24 2.06213e24i −0.761965 0.525281i
\(289\) −3.96947e24 −0.976685
\(290\) −3.59476e24 3.34236e24i −0.854457 0.794463i
\(291\) 1.21415e24 0.278832
\(292\) −2.88495e23 3.95940e24i −0.0640192 0.878620i
\(293\) 2.84512e24i 0.610133i 0.952331 + 0.305066i \(0.0986786\pi\)
−0.952331 + 0.305066i \(0.901321\pi\)
\(294\) 9.18494e23 + 8.54004e23i 0.190372 + 0.177006i
\(295\) 5.58634e23i 0.111920i
\(296\) −2.04382e23 1.64027e23i −0.0395845 0.0317687i
\(297\) −2.95298e24 −0.552962
\(298\) −1.64250e24 + 1.76653e24i −0.297401 + 0.319859i
\(299\) 3.21549e24 0.563034
\(300\) −2.94609e22 4.04332e23i −0.00498924 0.0684739i
\(301\) 5.46758e22i 0.00895633i
\(302\) 8.43965e24 9.07696e24i 1.33738 1.43837i
\(303\) 3.05248e24i 0.467980i
\(304\) −8.16519e24 + 1.19624e24i −1.21124 + 0.177452i
\(305\) 9.70346e23 0.139293
\(306\) −7.44935e23 6.92631e23i −0.103491 0.0962250i
\(307\) 5.66512e24 0.761773 0.380887 0.924622i \(-0.375619\pi\)
0.380887 + 0.924622i \(0.375619\pi\)
\(308\) −1.76167e24 + 1.28361e23i −0.229307 + 0.0167081i
\(309\) 1.89803e23i 0.0239176i
\(310\) 8.40185e23 + 7.81194e23i 0.102508 + 0.0953108i
\(311\) 4.13896e24i 0.488975i 0.969652 + 0.244488i \(0.0786198\pi\)
−0.969652 + 0.244488i \(0.921380\pi\)
\(312\) 8.17868e23 + 6.56383e23i 0.0935702 + 0.0750951i
\(313\) −1.13021e25 −1.25233 −0.626163 0.779692i \(-0.715375\pi\)
−0.626163 + 0.779692i \(0.715375\pi\)
\(314\) 2.72194e24 2.92749e24i 0.292134 0.314194i
\(315\) 1.68314e24 0.174990
\(316\) 9.71960e24 7.08202e23i 0.978989 0.0713324i
\(317\) 9.80341e24i 0.956720i 0.878164 + 0.478360i \(0.158769\pi\)
−0.878164 + 0.478360i \(0.841231\pi\)
\(318\) −3.35670e24 + 3.61018e24i −0.317425 + 0.341395i
\(319\) 1.54810e25i 1.41871i
\(320\) −9.50986e24 + 2.10867e24i −0.844645 + 0.187287i
\(321\) −1.81474e24 −0.156230
\(322\) −2.45698e24 2.28447e24i −0.205042 0.190646i
\(323\) −2.31040e24 −0.186922
\(324\) 7.24453e23 + 9.94263e24i 0.0568277 + 0.779922i
\(325\) 1.45321e24i 0.110534i
\(326\) 1.34768e25 + 1.25306e25i 0.994057 + 0.924262i
\(327\) 6.82837e24i 0.488472i
\(328\) −1.12342e25 + 1.39981e25i −0.779478 + 0.971248i
\(329\) 4.64255e24 0.312462
\(330\) −2.59116e24 + 2.78683e24i −0.169182 + 0.181958i
\(331\) 1.53387e25 0.971648 0.485824 0.874057i \(-0.338520\pi\)
0.485824 + 0.874057i \(0.338520\pi\)
\(332\) 1.78271e24 + 2.44665e25i 0.109572 + 1.50380i
\(333\) 7.87585e23i 0.0469737i
\(334\) 1.74624e25 1.87811e25i 1.01074 1.08707i
\(335\) 8.73291e24i 0.490581i
\(336\) −1.58607e23 1.08261e24i −0.00864829 0.0590309i
\(337\) 7.89256e24 0.417752 0.208876 0.977942i \(-0.433019\pi\)
0.208876 + 0.977942i \(0.433019\pi\)
\(338\) −1.14993e25 1.06919e25i −0.590887 0.549400i
\(339\) 8.34035e24 0.416090
\(340\) −2.71991e24 + 1.98182e23i −0.131755 + 0.00960008i
\(341\) 3.61830e24i 0.170200i
\(342\) 1.81630e25 + 1.68877e25i 0.829710 + 0.771455i
\(343\) 9.61666e24i 0.426661i
\(344\) −5.95216e23 + 7.41653e23i −0.0256502 + 0.0319607i
\(345\) −7.22773e24 −0.302560
\(346\) −1.17152e25 + 1.25998e25i −0.476418 + 0.512394i
\(347\) 1.50298e24 0.0593825 0.0296912 0.999559i \(-0.490548\pi\)
0.0296912 + 0.999559i \(0.490548\pi\)
\(348\) 9.56441e24 6.96895e23i 0.367169 0.0267531i
\(349\) 3.33846e25i 1.24535i −0.782480 0.622676i \(-0.786046\pi\)
0.782480 0.622676i \(-0.213954\pi\)
\(350\) −1.03245e24 + 1.11041e24i −0.0374272 + 0.0402535i
\(351\) 6.55708e24i 0.231015i
\(352\) −2.52937e25 1.74369e25i −0.866134 0.597093i
\(353\) −4.35082e25 −1.44818 −0.724092 0.689703i \(-0.757741\pi\)
−0.724092 + 0.689703i \(0.757741\pi\)
\(354\) −7.99285e23 7.43166e23i −0.0258624 0.0240466i
\(355\) −3.82119e25 −1.20203
\(356\) −3.63161e24 4.98415e25i −0.111071 1.52437i
\(357\) 3.06332e23i 0.00910983i
\(358\) −3.06310e25 2.84803e25i −0.885789 0.823596i
\(359\) 5.13216e25i 1.44330i 0.692259 + 0.721649i \(0.256615\pi\)
−0.692259 + 0.721649i \(0.743385\pi\)
\(360\) 2.28310e25 + 1.83231e25i 0.624453 + 0.501157i
\(361\) 1.87421e25 0.498593
\(362\) 3.87447e23 4.16705e23i 0.0100260 0.0107831i
\(363\) −1.15720e24 −0.0291300
\(364\) −2.85026e23 3.91178e24i −0.00698023 0.0957990i
\(365\) 3.19872e25i 0.762162i
\(366\) −1.29088e24 + 1.38836e24i −0.0299277 + 0.0321877i
\(367\) 9.79775e23i 0.0221037i −0.999939 0.0110519i \(-0.996482\pi\)
0.999939 0.0110519i \(-0.00351799\pi\)
\(368\) −8.45847e24 5.77353e25i −0.185701 1.26754i
\(369\) 5.39415e25 1.15255
\(370\) 1.54639e24 + 1.43782e24i 0.0321590 + 0.0299011i
\(371\) 1.84369e25 0.373207
\(372\) −2.23544e24 + 1.62882e23i −0.0440488 + 0.00320954i
\(373\) 1.20006e25i 0.230204i 0.993354 + 0.115102i \(0.0367196\pi\)
−0.993354 + 0.115102i \(0.963280\pi\)
\(374\) −6.29898e24 5.85672e24i −0.117640 0.109380i
\(375\) 1.62547e25i 0.295574i
\(376\) 6.29742e25 + 5.05401e25i 1.11502 + 0.894866i
\(377\) 3.43755e25 0.592701
\(378\) −4.65854e24 + 5.01032e24i −0.0782225 + 0.0841294i
\(379\) −5.23113e25 −0.855468 −0.427734 0.903905i \(-0.640688\pi\)
−0.427734 + 0.903905i \(0.640688\pi\)
\(380\) 6.63169e25 4.83207e24i 1.05630 0.0769657i
\(381\) 2.71892e25i 0.421838i
\(382\) −3.73039e25 + 4.01209e25i −0.563795 + 0.606369i
\(383\) 1.18449e26i 1.74399i 0.489515 + 0.871995i \(0.337174\pi\)
−0.489515 + 0.871995i \(0.662826\pi\)
\(384\) 9.63417e24 1.64118e25i 0.138198 0.235420i
\(385\) 1.42322e25 0.198913
\(386\) 1.76581e25 + 1.64183e25i 0.240476 + 0.223591i
\(387\) 2.85796e24 0.0379268
\(388\) −5.73956e24 7.87716e25i −0.0742269 1.01871i
\(389\) 2.42607e25i 0.305779i −0.988243 0.152889i \(-0.951142\pi\)
0.988243 0.152889i \(-0.0488578\pi\)
\(390\) −6.18816e24 5.75367e24i −0.0760178 0.0706804i
\(391\) 1.63366e25i 0.195611i
\(392\) 5.10642e25 6.36271e25i 0.596013 0.742645i
\(393\) 2.38802e25 0.271714
\(394\) −2.36436e25 + 2.54290e25i −0.262271 + 0.282077i
\(395\) −7.85226e25 −0.849227
\(396\) 6.70956e24 + 9.20842e25i 0.0707526 + 0.971031i
\(397\) 1.38755e26i 1.42673i −0.700791 0.713366i \(-0.747170\pi\)
0.700791 0.713366i \(-0.252830\pi\)
\(398\) −5.03761e25 + 5.41802e25i −0.505119 + 0.543263i
\(399\) 7.46899e24i 0.0730353i
\(400\) −2.60930e25 + 3.82273e24i −0.248842 + 0.0364564i
\(401\) 4.99079e25 0.464222 0.232111 0.972689i \(-0.425437\pi\)
0.232111 + 0.972689i \(0.425437\pi\)
\(402\) 1.24949e25 + 1.16176e25i 0.113363 + 0.105404i
\(403\) −8.03442e24 −0.0711056
\(404\) −1.98039e26 + 1.44298e25i −1.70977 + 0.124579i
\(405\) 8.03244e25i 0.676546i
\(406\) −2.62666e25 2.44224e25i −0.215846 0.200691i
\(407\) 6.65962e24i 0.0533956i
\(408\) 3.33482e24 4.15526e24i 0.0260898 0.0325085i
\(409\) −9.92475e25 −0.757682 −0.378841 0.925462i \(-0.623677\pi\)
−0.378841 + 0.925462i \(0.623677\pi\)
\(410\) 9.84759e25 1.05912e26i 0.733654 0.789056i
\(411\) 8.15862e24 0.0593196
\(412\) 1.23140e25 8.97240e23i 0.0873832 0.00636703i
\(413\) 4.08190e24i 0.0282723i
\(414\) −1.19412e26 + 1.28429e26i −0.807315 + 0.868279i
\(415\) 1.97660e26i 1.30448i
\(416\) 3.87186e25 5.61645e25i 0.249451 0.361850i
\(417\) −1.35189e25 −0.0850317
\(418\) 1.53582e26 + 1.42798e26i 0.943141 + 0.876921i
\(419\) 8.81396e25 0.528483 0.264241 0.964457i \(-0.414878\pi\)
0.264241 + 0.964457i \(0.414878\pi\)
\(420\) 6.40677e23 + 8.79286e24i 0.00375099 + 0.0514799i
\(421\) 5.58973e25i 0.319573i −0.987152 0.159786i \(-0.948919\pi\)
0.987152 0.159786i \(-0.0510805\pi\)
\(422\) −9.76826e25 9.08241e25i −0.545372 0.507080i
\(423\) 2.42671e26i 1.32316i
\(424\) 2.50089e26 + 2.00710e26i 1.33179 + 1.06883i
\(425\) −7.38318e24 −0.0384020
\(426\) 5.08343e25 5.46731e25i 0.258262 0.277765i
\(427\) 7.09024e24 0.0351870
\(428\) 8.57868e24 + 1.17737e26i 0.0415894 + 0.570787i
\(429\) 2.66496e25i 0.126217i
\(430\) 5.21750e24 5.61150e24i 0.0241423 0.0259653i
\(431\) 2.02264e26i 0.914420i 0.889359 + 0.457210i \(0.151151\pi\)
−0.889359 + 0.457210i \(0.848849\pi\)
\(432\) −1.17735e26 + 1.72487e25i −0.520077 + 0.0761936i
\(433\) 9.70735e25 0.419008 0.209504 0.977808i \(-0.432815\pi\)
0.209504 + 0.977808i \(0.432815\pi\)
\(434\) 6.13917e24 + 5.70813e24i 0.0258948 + 0.0240767i
\(435\) −7.72689e25 −0.318502
\(436\) −4.43011e26 + 3.22792e25i −1.78464 + 0.130034i
\(437\) 3.98319e26i 1.56825i
\(438\) −4.57668e25 4.25534e25i −0.176120 0.163754i
\(439\) 1.06665e26i 0.401214i −0.979672 0.200607i \(-0.935708\pi\)
0.979672 0.200607i \(-0.0642915\pi\)
\(440\) 1.93053e26 + 1.54935e26i 0.709823 + 0.569671i
\(441\) −2.45187e26 −0.881274
\(442\) 1.30048e25 1.39869e25i 0.0456964 0.0491471i
\(443\) 3.37450e26 1.15924 0.579618 0.814888i \(-0.303202\pi\)
0.579618 + 0.814888i \(0.303202\pi\)
\(444\) −4.11442e24 + 2.99790e23i −0.0138191 + 0.00100690i
\(445\) 4.02659e26i 1.32232i
\(446\) 3.07497e26 3.30717e26i 0.987398 1.06196i
\(447\) 3.79714e25i 0.119229i
\(448\) −6.94878e25 + 1.54079e25i −0.213368 + 0.0473110i
\(449\) −2.12762e26 −0.638896 −0.319448 0.947604i \(-0.603498\pi\)
−0.319448 + 0.947604i \(0.603498\pi\)
\(450\) 5.80423e25 + 5.39670e25i 0.170459 + 0.158491i
\(451\) 4.56116e26 1.31012
\(452\) −3.94267e25 5.41105e26i −0.110766 1.52019i
\(453\) 1.95108e26i 0.536158i
\(454\) 7.88910e25 + 7.33519e25i 0.212065 + 0.197176i
\(455\) 3.16025e25i 0.0831012i
\(456\) −8.13095e25 + 1.01314e26i −0.209167 + 0.260627i
\(457\) −1.99071e26 −0.501010 −0.250505 0.968115i \(-0.580597\pi\)
−0.250505 + 0.968115i \(0.580597\pi\)
\(458\) 4.22472e26 4.54375e26i 1.04026 1.11882i
\(459\) −3.33139e25 −0.0802599
\(460\) 3.41671e25 + 4.68921e26i 0.0805434 + 1.10540i
\(461\) 5.96463e26i 1.37586i 0.725777 + 0.687930i \(0.241481\pi\)
−0.725777 + 0.687930i \(0.758519\pi\)
\(462\) −1.89334e25 + 2.03632e25i −0.0427375 + 0.0459648i
\(463\) 2.47453e26i 0.546617i 0.961926 + 0.273308i \(0.0881179\pi\)
−0.961926 + 0.273308i \(0.911882\pi\)
\(464\) −9.04263e25 6.17225e26i −0.195486 1.33433i
\(465\) 1.80597e25 0.0382103
\(466\) 7.85174e25 + 7.30046e25i 0.162595 + 0.151179i
\(467\) −5.31638e26 −1.07757 −0.538787 0.842442i \(-0.681117\pi\)
−0.538787 + 0.842442i \(0.681117\pi\)
\(468\) −2.04473e26 + 1.48986e25i −0.405674 + 0.0295587i
\(469\) 6.38107e25i 0.123927i
\(470\) −4.76475e26 4.43021e26i −0.905861 0.842259i
\(471\) 6.29259e25i 0.117117i
\(472\) −4.44367e25 + 5.53691e25i −0.0809695 + 0.100890i
\(473\) 2.41662e25 0.0431118
\(474\) 1.04461e26 1.12349e26i 0.182461 0.196239i
\(475\) 1.80017e26 0.307877
\(476\) −1.98742e25 + 1.44810e24i −0.0332828 + 0.00242510i
\(477\) 9.63716e26i 1.58039i
\(478\) −4.78441e25 + 5.14571e25i −0.0768334 + 0.0826354i
\(479\) 3.84647e26i 0.604932i −0.953160 0.302466i \(-0.902190\pi\)
0.953160 0.302466i \(-0.0978099\pi\)
\(480\) −8.70311e25 + 1.26246e26i −0.134049 + 0.194449i
\(481\) −1.47877e25 −0.0223074
\(482\) −5.55182e26 5.16202e26i −0.820286 0.762692i
\(483\) −5.28125e25 −0.0764303
\(484\) 5.47032e24 + 7.50765e25i 0.00775460 + 0.106427i
\(485\) 6.36379e26i 0.883688i
\(486\) 3.97910e26 + 3.69972e26i 0.541280 + 0.503275i
\(487\) 3.66749e25i 0.0488741i −0.999701 0.0244371i \(-0.992221\pi\)
0.999701 0.0244371i \(-0.00777934\pi\)
\(488\) 9.61760e25 + 7.71864e25i 0.125565 + 0.100773i
\(489\) 2.89682e26 0.370538
\(490\) −4.47614e26 + 4.81415e26i −0.560974 + 0.603336i
\(491\) −7.55878e26 −0.928190 −0.464095 0.885785i \(-0.653620\pi\)
−0.464095 + 0.885785i \(0.653620\pi\)
\(492\) 2.05326e25 + 2.81796e26i 0.0247054 + 0.339065i
\(493\) 1.74648e26i 0.205918i
\(494\) −3.17084e26 + 3.41028e26i −0.366357 + 0.394022i
\(495\) 7.43929e26i 0.842325i
\(496\) 2.11349e25 + 1.44261e26i 0.0234522 + 0.160078i
\(497\) −2.79212e26 −0.303647
\(498\) 2.82809e26 + 2.62952e26i 0.301439 + 0.280274i
\(499\) 7.77009e26 0.811746 0.405873 0.913929i \(-0.366967\pi\)
0.405873 + 0.913929i \(0.366967\pi\)
\(500\) 1.05457e27 7.68397e25i 1.07988 0.0786839i
\(501\) 4.03697e26i 0.405209i
\(502\) 1.00330e27 + 9.32859e26i 0.987178 + 0.917866i
\(503\) 1.47036e27i 1.41822i 0.705097 + 0.709110i \(0.250903\pi\)
−0.705097 + 0.709110i \(0.749097\pi\)
\(504\) 1.66824e26 + 1.33885e26i 0.157744 + 0.126598i
\(505\) 1.59992e27 1.48314
\(506\) −1.00971e27 + 1.08596e27i −0.917684 + 0.986982i
\(507\) −2.47176e26 −0.220256
\(508\) 1.76398e27 1.28529e26i 1.54119 0.112296i
\(509\) 8.27692e26i 0.709073i −0.935042 0.354536i \(-0.884639\pi\)
0.935042 0.354536i \(-0.115361\pi\)
\(510\) −2.92321e25 + 3.14395e25i −0.0245560 + 0.0264104i
\(511\) 2.33728e26i 0.192531i
\(512\) −1.11031e27 5.47463e26i −0.896898 0.442237i
\(513\) 8.12259e26 0.643459
\(514\) 3.61354e26 + 3.35982e26i 0.280738 + 0.261027i
\(515\) −9.94824e25 −0.0758008
\(516\) 1.08787e24 + 1.49302e25i 0.000812978 + 0.0111576i
\(517\) 2.05196e27i 1.50405i
\(518\) 1.12994e25 + 1.05060e25i 0.00812376 + 0.00755338i
\(519\) 2.70832e26i 0.190997i
\(520\) −3.44034e26 + 4.28674e26i −0.237995 + 0.296547i
\(521\) −3.49221e26 −0.236986 −0.118493 0.992955i \(-0.537806\pi\)
−0.118493 + 0.992955i \(0.537806\pi\)
\(522\) −1.27658e27 + 1.37298e27i −0.849853 + 0.914029i
\(523\) −1.26906e27 −0.828831 −0.414415 0.910088i \(-0.636014\pi\)
−0.414415 + 0.910088i \(0.636014\pi\)
\(524\) −1.12887e26 1.54930e27i −0.0723320 0.992708i
\(525\) 2.38681e25i 0.0150046i
\(526\) −4.17444e26 + 4.48967e26i −0.257479 + 0.276922i
\(527\) 4.08196e25i 0.0247038i
\(528\) −4.78503e26 + 7.01028e25i −0.284149 + 0.0416290i
\(529\) −1.10032e27 −0.641153
\(530\) −1.89222e27 1.75937e27i −1.08197 1.00600i
\(531\) 2.13365e26 0.119723
\(532\) 4.84573e26 3.53076e25i 0.266835 0.0194425i
\(533\) 1.01280e27i 0.547335i
\(534\) −5.76118e26 5.35668e26i −0.305562 0.284108i
\(535\) 9.51169e26i 0.495131i
\(536\) 6.94662e26 8.65564e26i 0.354916 0.442233i
\(537\) −6.58408e26 −0.330181
\(538\) −3.69614e25 + 3.97525e25i −0.0181939 + 0.0195678i
\(539\) −2.07324e27 −1.00175
\(540\) 9.56232e26 6.96742e25i 0.453550 0.0330472i
\(541\) 2.64356e26i 0.123088i 0.998104 + 0.0615440i \(0.0196025\pi\)
−0.998104 + 0.0615440i \(0.980398\pi\)
\(542\) 2.45519e27 2.64059e27i 1.12226 1.20700i
\(543\) 8.95702e24i 0.00401944i
\(544\) −2.85349e26 1.96713e26i −0.125715 0.0866653i
\(545\) 3.57899e27 1.54809
\(546\) −4.52164e25 4.20416e25i −0.0192030 0.0178547i
\(547\) −7.85407e26 −0.327507 −0.163754 0.986501i \(-0.552360\pi\)
−0.163754 + 0.986501i \(0.552360\pi\)
\(548\) −3.85676e25 5.29315e26i −0.0157913 0.216725i
\(549\) 3.70614e26i 0.149004i
\(550\) 4.90791e26 + 4.56331e26i 0.193762 + 0.180158i
\(551\) 4.25827e27i 1.65089i
\(552\) −7.16378e26 5.74932e26i −0.272742 0.218890i
\(553\) −5.73759e26 −0.214525
\(554\) 4.36021e26 4.68947e26i 0.160107 0.172197i
\(555\) 3.32395e25 0.0119874
\(556\) 6.39069e25 + 8.77080e26i 0.0226360 + 0.310664i
\(557\) 1.79432e27i 0.624236i 0.950043 + 0.312118i \(0.101038\pi\)
−0.950043 + 0.312118i \(0.898962\pi\)
\(558\) 2.98369e26 3.20900e26i 0.101956 0.109655i
\(559\) 5.36609e25i 0.0180111i
\(560\) 5.67435e26 8.31317e25i 0.187084 0.0274086i
\(561\) −1.35396e26 −0.0438507
\(562\) −3.24490e27 3.01706e27i −1.03238 0.959890i
\(563\) 4.71503e27 1.47367 0.736836 0.676071i \(-0.236319\pi\)
0.736836 + 0.676071i \(0.236319\pi\)
\(564\) 1.26774e27 9.23714e25i 0.389258 0.0283626i
\(565\) 4.37147e27i 1.31869i
\(566\) 3.45579e27 + 3.21315e27i 1.02420 + 0.952284i
\(567\) 5.86924e26i 0.170904i
\(568\) −3.78738e27 3.03958e27i −1.08357 0.869621i
\(569\) −1.72052e27 −0.483656 −0.241828 0.970319i \(-0.577747\pi\)
−0.241828 + 0.970319i \(0.577747\pi\)
\(570\) 7.12737e26 7.66559e26i 0.196870 0.211737i
\(571\) 1.40979e27 0.382641 0.191321 0.981528i \(-0.438723\pi\)
0.191321 + 0.981528i \(0.438723\pi\)
\(572\) −1.72897e27 + 1.25978e26i −0.461134 + 0.0335998i
\(573\) 8.62394e26i 0.226026i
\(574\) 7.19556e26 7.73893e26i 0.185330 0.199325i
\(575\) 1.27288e27i 0.322188i
\(576\) 8.05384e26 + 3.63219e27i 0.200345 + 0.903534i
\(577\) −6.12456e27 −1.49733 −0.748663 0.662950i \(-0.769304\pi\)
−0.748663 + 0.662950i \(0.769304\pi\)
\(578\) 2.97681e27 + 2.76780e27i 0.715274 + 0.665053i
\(579\) 3.79559e26 0.0896382
\(580\) 3.65267e26 + 5.01305e27i 0.0847873 + 1.16365i
\(581\) 1.44428e27i 0.329527i
\(582\) −9.10522e26 8.46592e26i −0.204202 0.189865i
\(583\) 8.14894e27i 1.79645i
\(584\) −2.54443e27 + 3.17042e27i −0.551394 + 0.687049i
\(585\) 1.65189e27 0.351903
\(586\) 1.98382e27 2.13363e27i 0.415457 0.446830i
\(587\) 3.87893e27 0.798604 0.399302 0.916820i \(-0.369253\pi\)
0.399302 + 0.916820i \(0.369253\pi\)
\(588\) −9.33291e25 1.28088e27i −0.0188905 0.259260i
\(589\) 9.95264e26i 0.198055i
\(590\) 3.89520e26 4.18934e26i 0.0762095 0.0819644i
\(591\) 5.46593e26i 0.105145i
\(592\) 3.88996e25 + 2.65518e26i 0.00735746 + 0.0502200i
\(593\) −5.05296e27 −0.939722 −0.469861 0.882740i \(-0.655696\pi\)
−0.469861 + 0.882740i \(0.655696\pi\)
\(594\) 2.21451e27 + 2.05903e27i 0.404962 + 0.376528i
\(595\) 1.60560e26 0.0288713
\(596\) 2.46351e27 1.79499e26i 0.435603 0.0317395i
\(597\) 1.16460e27i 0.202503i
\(598\) −2.41138e27 2.24207e27i −0.412338 0.383387i
\(599\) 6.42777e27i 1.08092i −0.841371 0.540459i \(-0.818251\pi\)
0.841371 0.540459i \(-0.181749\pi\)
\(600\) −2.59835e26 + 3.23761e26i −0.0429720 + 0.0535441i
\(601\) 6.13048e27 0.997126 0.498563 0.866854i \(-0.333861\pi\)
0.498563 + 0.866854i \(0.333861\pi\)
\(602\) 3.81239e25 4.10028e25i 0.00609863 0.00655916i
\(603\) −3.33545e27 −0.524784
\(604\) −1.26582e28 + 9.22319e26i −1.95886 + 0.142729i
\(605\) 6.06527e26i 0.0923202i
\(606\) −2.12841e27 + 2.28914e27i −0.318661 + 0.342725i
\(607\) 8.59036e27i 1.26510i −0.774520 0.632549i \(-0.782009\pi\)
0.774520 0.632549i \(-0.217991\pi\)
\(608\) 6.95739e27 + 4.79627e27i 1.00788 + 0.694812i
\(609\) −5.64598e26 −0.0804575
\(610\) −7.27687e26 6.76595e26i −0.102011 0.0948484i
\(611\) 4.55638e27 0.628358
\(612\) 7.56936e25 + 1.03884e27i 0.0102694 + 0.140941i
\(613\) 6.53893e27i 0.872774i −0.899759 0.436387i \(-0.856258\pi\)
0.899759 0.436387i \(-0.143742\pi\)
\(614\) −4.24842e27 3.95013e27i −0.557884 0.518714i
\(615\) 2.27657e27i 0.294124i
\(616\) 1.41062e27 + 1.13210e27i 0.179310 + 0.143906i
\(617\) −4.14779e27 −0.518759 −0.259379 0.965776i \(-0.583518\pi\)
−0.259379 + 0.965776i \(0.583518\pi\)
\(618\) 1.32344e26 1.42338e26i 0.0162862 0.0175160i
\(619\) −2.89355e27 −0.350368 −0.175184 0.984536i \(-0.556052\pi\)
−0.175184 + 0.984536i \(0.556052\pi\)
\(620\) −8.53721e25 1.17167e27i −0.0101718 0.139602i
\(621\) 5.74341e27i 0.673370i
\(622\) 2.88598e27 3.10391e27i 0.332958 0.358101i
\(623\) 2.94220e27i 0.334034i
\(624\) −1.55663e26 1.06251e27i −0.0173916 0.118710i
\(625\) −6.23232e27 −0.685250
\(626\) 8.47576e27 + 7.88066e27i 0.917140 + 0.852745i
\(627\) 3.30122e27 0.351559
\(628\) −4.08250e27 + 2.97465e26i −0.427888 + 0.0311773i
\(629\) 7.51302e25i 0.00775011i
\(630\) −1.26223e27 1.17360e27i −0.128154 0.119156i
\(631\) 1.13124e28i 1.13048i 0.824928 + 0.565238i \(0.191216\pi\)
−0.824928 + 0.565238i \(0.808784\pi\)
\(632\) −7.78279e27 6.24610e27i −0.765534 0.614382i
\(633\) −2.09967e27 −0.203289
\(634\) 6.83564e27 7.35183e27i 0.651458 0.700653i
\(635\) −1.42508e28 −1.33691
\(636\) 5.03455e27 3.66834e26i 0.464932 0.0338765i
\(637\) 4.60362e27i 0.418509i
\(638\) −1.07945e28 + 1.16096e28i −0.966038 + 1.03899i
\(639\) 1.45947e28i 1.28584i
\(640\) 8.60200e27 + 5.04961e27i 0.746104 + 0.437984i
\(641\) 2.31014e28 1.97268 0.986341 0.164713i \(-0.0526699\pi\)
0.986341 + 0.164713i \(0.0526699\pi\)
\(642\) 1.36092e27 + 1.26537e27i 0.114415 + 0.106381i
\(643\) 1.26662e28 1.04843 0.524213 0.851587i \(-0.324360\pi\)
0.524213 + 0.851587i \(0.324360\pi\)
\(644\) 2.49657e26 + 3.42637e27i 0.0203462 + 0.279239i
\(645\) 1.20618e26i 0.00967868i
\(646\) 1.73263e27 + 1.61097e27i 0.136892 + 0.127281i
\(647\) 3.27969e27i 0.255147i 0.991829 + 0.127573i \(0.0407188\pi\)
−0.991829 + 0.127573i \(0.959281\pi\)
\(648\) 6.38943e27 7.96137e27i 0.489454 0.609871i
\(649\) 1.80416e27 0.136090
\(650\) −1.01328e27 + 1.08980e27i −0.0752657 + 0.0809494i
\(651\) 1.31961e26 0.00965238
\(652\) −1.36939e27 1.87940e28i −0.0986398 1.35376i
\(653\) 2.38862e27i 0.169440i −0.996405 0.0847200i \(-0.973000\pi\)
0.996405 0.0847200i \(-0.0269996\pi\)
\(654\) −4.76123e27 + 5.12077e27i −0.332615 + 0.357732i
\(655\) 1.25164e28i 0.861128i
\(656\) 1.81853e28 2.66422e27i 1.23220 0.180523i
\(657\) 1.22172e28 0.815300
\(658\) −3.48157e27 3.23712e27i −0.228832 0.212765i
\(659\) −3.24782e27 −0.210251 −0.105125 0.994459i \(-0.533524\pi\)
−0.105125 + 0.994459i \(0.533524\pi\)
\(660\) 3.88636e27 2.83173e26i 0.247801 0.0180556i
\(661\) 2.77284e28i 1.74145i 0.491774 + 0.870723i \(0.336349\pi\)
−0.491774 + 0.870723i \(0.663651\pi\)
\(662\) −1.15029e28 1.06952e28i −0.711585 0.661623i
\(663\) 3.00646e26i 0.0183198i
\(664\) 1.57229e28 1.95911e28i 0.943739 1.17592i
\(665\) −3.91476e27 −0.231467
\(666\) 5.49160e26 5.90630e26i 0.0319858 0.0344012i
\(667\) −3.01098e28 −1.72763
\(668\) −2.61911e28 + 1.90837e27i −1.48043 + 0.107869i
\(669\) 7.10872e27i 0.395850i
\(670\) −6.08921e27 + 6.54903e27i −0.334051 + 0.359277i
\(671\) 3.13382e27i 0.169375i
\(672\) −6.35930e26 + 9.22469e26i −0.0338623 + 0.0491201i
\(673\) −1.45343e28 −0.762504 −0.381252 0.924471i \(-0.624507\pi\)
−0.381252 + 0.924471i \(0.624507\pi\)
\(674\) −5.91883e27 5.50325e27i −0.305940 0.284460i
\(675\) 2.59568e27 0.132195
\(676\) 1.16846e27 + 1.60363e28i 0.0586335 + 0.804705i
\(677\) 3.77095e28i 1.86451i −0.361807 0.932253i \(-0.617840\pi\)
0.361807 0.932253i \(-0.382160\pi\)
\(678\) −6.25464e27 5.81549e27i −0.304723 0.283328i
\(679\) 4.64998e27i 0.223230i
\(680\) 2.17792e27 + 1.74790e27i 0.103027 + 0.0826850i
\(681\) 1.69575e27 0.0790481
\(682\) 2.52293e27 2.71345e27i 0.115894 0.124646i
\(683\) −3.81940e28 −1.72897 −0.864487 0.502655i \(-0.832357\pi\)
−0.864487 + 0.502655i \(0.832357\pi\)
\(684\) −1.84556e27 2.53291e28i −0.0823318 1.12995i
\(685\) 4.27622e27i 0.187999i
\(686\) −6.70542e27 + 7.21178e27i −0.290526 + 0.312465i
\(687\) 9.76672e27i 0.417044i
\(688\) 9.63501e26 1.41157e26i 0.0405479 0.00594044i
\(689\) 1.80947e28 0.750515
\(690\) 5.42026e27 + 5.03969e27i 0.221579 + 0.206022i
\(691\) 4.53729e28 1.82817 0.914084 0.405526i \(-0.132912\pi\)
0.914084 + 0.405526i \(0.132912\pi\)
\(692\) 1.75710e28 1.28028e27i 0.697808 0.0508446i
\(693\) 5.43583e27i 0.212781i
\(694\) −1.12712e27 1.04798e27i −0.0434887 0.0404353i
\(695\) 7.08574e27i 0.269487i
\(696\) −7.65852e27 6.14637e27i −0.287113 0.230423i
\(697\) 5.14565e27 0.190157
\(698\) −2.32781e28 + 2.50360e28i −0.847996 + 0.912032i
\(699\) 1.68772e27 0.0606079
\(700\) 1.54852e27 1.12830e26i 0.0548196 0.00399434i
\(701\) 2.44859e28i 0.854545i −0.904123 0.427273i \(-0.859474\pi\)
0.904123 0.427273i \(-0.140526\pi\)
\(702\) −4.57207e27 + 4.91732e27i −0.157305 + 0.169183i
\(703\) 1.83182e27i 0.0621342i
\(704\) 6.81012e27 + 3.07129e28i 0.227734 + 1.02706i
\(705\) −1.02418e28 −0.337663
\(706\) 3.26279e28 + 3.03370e28i 1.06058 + 0.986111i
\(707\) 1.16905e28 0.374660
\(708\) 8.12162e25 + 1.11464e27i 0.00256632 + 0.0352210i
\(709\) 2.07454e27i 0.0646339i 0.999478 + 0.0323169i \(0.0102886\pi\)
−0.999478 + 0.0323169i \(0.989711\pi\)
\(710\) 2.86561e28 + 2.66441e28i 0.880306 + 0.818497i
\(711\) 2.99909e28i 0.908435i
\(712\) −3.20296e28 + 3.99096e28i −0.956647 + 1.19200i
\(713\) 7.03742e27 0.207261
\(714\) −2.13597e26 + 2.29726e26i −0.00620315 + 0.00667158i
\(715\) 1.39680e28 0.400012
\(716\) 3.11244e27 + 4.27162e28i 0.0878964 + 1.20632i
\(717\) 1.10606e27i 0.0308026i
\(718\) 3.57851e28 3.84874e28i 0.982783 1.05700i
\(719\) 6.81553e28i 1.84591i −0.384906 0.922956i \(-0.625766\pi\)
0.384906 0.922956i \(-0.374234\pi\)
\(720\) −4.34537e27 2.96604e28i −0.116065 0.792230i
\(721\) −7.26910e26 −0.0191482
\(722\) −1.40552e28 1.30683e28i −0.365144 0.339507i
\(723\) −1.19336e28 −0.305765
\(724\) −5.81113e26 + 4.23418e25i −0.0146850 + 0.00107000i
\(725\) 1.36079e28i 0.339164i
\(726\) 8.67810e26 + 8.06879e26i 0.0213333 + 0.0198355i
\(727\) 3.11037e27i 0.0754167i −0.999289 0.0377083i \(-0.987994\pi\)
0.999289 0.0377083i \(-0.0120058\pi\)
\(728\) −2.51383e27 + 3.13229e27i −0.0601204 + 0.0749114i
\(729\) −2.45964e28 −0.580225
\(730\) 2.23038e28 2.39880e28i 0.518979 0.558169i
\(731\) 2.72629e26 0.00625747
\(732\) 1.93612e27 1.41072e26i 0.0438351 0.00319397i
\(733\) 5.70653e28i 1.27448i 0.770667 + 0.637239i \(0.219923\pi\)
−0.770667 + 0.637239i \(0.780077\pi\)
\(734\) −6.83170e26 + 7.34759e26i −0.0150511 + 0.0161877i
\(735\) 1.03480e28i 0.224896i
\(736\) −3.39139e28 + 4.91950e28i −0.727110 + 1.05473i
\(737\) −2.82037e28 −0.596528
\(738\) −4.04521e28 3.76119e28i −0.844069 0.784805i
\(739\) 5.29434e28 1.08985 0.544926 0.838484i \(-0.316558\pi\)
0.544926 + 0.838484i \(0.316558\pi\)
\(740\) −1.57131e26 2.15651e27i −0.00319113 0.0437961i
\(741\) 7.33035e27i 0.146873i
\(742\) −1.38263e28 1.28556e28i −0.273318 0.254127i
\(743\) 3.40637e28i 0.664360i −0.943216 0.332180i \(-0.892216\pi\)
0.943216 0.332180i \(-0.107784\pi\)
\(744\) 1.78999e27 + 1.43656e27i 0.0344446 + 0.0276436i
\(745\) −1.99022e28 −0.377866
\(746\) 8.36766e27 8.99954e27i 0.156753 0.168590i
\(747\) −7.54942e28 −1.39543
\(748\) 6.40046e26 + 8.78420e27i 0.0116733 + 0.160209i
\(749\) 6.95012e27i 0.125076i
\(750\) 1.13340e28 1.21898e28i 0.201265 0.216464i
\(751\) 1.46366e28i 0.256473i −0.991744 0.128236i \(-0.959068\pi\)
0.991744 0.128236i \(-0.0409316\pi\)
\(752\) −1.19857e28 8.18114e28i −0.207246 1.41461i
\(753\) 2.15659e28 0.367974
\(754\) −2.57791e28 2.39691e28i −0.434064 0.403588i
\(755\) 1.02263e29 1.69922
\(756\) 6.98711e27 5.09104e26i 0.114572 0.00834812i
\(757\) 7.96001e28i 1.28812i 0.764977 + 0.644058i \(0.222751\pi\)
−0.764977 + 0.644058i \(0.777249\pi\)
\(758\) 3.92296e28 + 3.64752e28i 0.626501 + 0.582513i
\(759\) 2.33426e28i 0.367901i