Properties

Label 43.11.d.a.37.31
Level 43
Weight 11
Character 43.37
Analytic conductor 27.320
Analytic rank 0
Dimension 72
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 37.31
Character \(\chi\) \(=\) 43.37
Dual form 43.11.d.a.7.6

$q$-expansion

\(f(q)\) \(=\) \(q+49.1410i q^{2} +(-303.612 - 175.291i) q^{3} -1390.84 q^{4} +(-4917.98 - 2839.40i) q^{5} +(8613.96 - 14919.8i) q^{6} +(16455.6 - 9500.64i) q^{7} -18027.0i q^{8} +(31929.0 + 55302.7i) q^{9} +O(q^{10})\) \(q+49.1410i q^{2} +(-303.612 - 175.291i) q^{3} -1390.84 q^{4} +(-4917.98 - 2839.40i) q^{5} +(8613.96 - 14919.8i) q^{6} +(16455.6 - 9500.64i) q^{7} -18027.0i q^{8} +(31929.0 + 55302.7i) q^{9} +(139531. - 241675. i) q^{10} +81110.3 q^{11} +(422277. + 243801. i) q^{12} +(-304481. - 527377. i) q^{13} +(466872. + 808645. i) q^{14} +(995439. + 1.72415e6i) q^{15} -538357. q^{16} +(-1.25742e6 - 2.17791e6i) q^{17} +(-2.71763e6 + 1.56903e6i) q^{18} +(-1.81352e6 - 1.04704e6i) q^{19} +(6.84013e6 + 3.94915e6i) q^{20} -6.66149e6 q^{21} +3.98584e6i q^{22} +(-815945. + 1.41326e6i) q^{23} +(-3.15996e6 + 5.47322e6i) q^{24} +(1.12415e7 + 1.94709e7i) q^{25} +(2.59159e7 - 1.49625e7i) q^{26} -1.68598e6i q^{27} +(-2.28871e7 + 1.32139e7i) q^{28} +(1.79533e7 - 1.03653e7i) q^{29} +(-8.47266e7 + 4.89169e7i) q^{30} +(-1.62288e7 + 2.81092e7i) q^{31} -4.49151e7i q^{32} +(-2.46261e7 - 1.42179e7i) q^{33} +(1.07025e8 - 6.17908e7i) q^{34} -1.07904e8 q^{35} +(-4.44083e7 - 7.69174e7i) q^{36} +(-7.05691e7 - 4.07431e7i) q^{37} +(5.14525e7 - 8.91184e7i) q^{38} +2.13491e8i q^{39} +(-5.11858e7 + 8.86564e7i) q^{40} +5.61284e7 q^{41} -3.27353e8i q^{42} +(-4.18296e7 + 1.40932e8i) q^{43} -1.12812e8 q^{44} -3.62637e8i q^{45} +(-6.94490e7 - 4.00964e7i) q^{46} -1.07206e8 q^{47} +(1.63452e8 + 9.43688e7i) q^{48} +(3.92868e7 - 6.80467e7i) q^{49} +(-9.56821e8 + 5.52421e8i) q^{50} +8.81654e8i q^{51} +(4.23485e8 + 7.33498e8i) q^{52} +(1.36162e8 - 2.35840e8i) q^{53} +8.28507e7 q^{54} +(-3.98899e8 - 2.30304e8i) q^{55} +(-1.71268e8 - 2.96645e8i) q^{56} +(3.67072e8 + 6.35787e8i) q^{57} +(5.09364e8 + 8.82244e8i) q^{58} +8.28435e8 q^{59} +(-1.38450e9 - 2.39802e9i) q^{60} +(2.95660e8 - 1.70700e8i) q^{61} +(-1.38131e9 - 7.97502e8i) q^{62} +(1.05082e9 + 6.06693e8i) q^{63} +1.65590e9 q^{64} +3.45817e9i q^{65} +(6.98681e8 - 1.21015e9i) q^{66} +(-3.39755e8 + 5.88473e8i) q^{67} +(1.74887e9 + 3.02913e9i) q^{68} +(4.95461e8 - 2.86055e8i) q^{69} -5.30253e9i q^{70} +(-1.82154e9 + 1.05167e9i) q^{71} +(9.96942e8 - 5.75585e8i) q^{72} +(-1.47999e8 + 8.54472e7i) q^{73} +(2.00216e9 - 3.46784e9i) q^{74} -7.88214e9i q^{75} +(2.52232e9 + 1.45626e9i) q^{76} +(1.33472e9 - 7.70600e8i) q^{77} -1.04912e10 q^{78} +(-8.89947e7 - 1.54143e8i) q^{79} +(2.64763e9 + 1.52861e9i) q^{80} +(1.58984e9 - 2.75369e9i) q^{81} +2.75821e9i q^{82} +(1.76371e9 - 3.05483e9i) q^{83} +9.26508e9 q^{84} +1.42812e10i q^{85} +(-6.92553e9 - 2.05555e9i) q^{86} -7.26779e9 q^{87} -1.46218e9i q^{88} +(1.94400e9 + 1.12237e9i) q^{89} +1.78204e10 q^{90} +(-1.00208e10 - 5.78554e9i) q^{91} +(1.13485e9 - 1.96562e9i) q^{92} +(9.85454e9 - 5.68952e9i) q^{93} -5.26824e9i q^{94} +(5.94591e9 + 1.02986e10i) q^{95} +(-7.87318e9 + 1.36368e10i) q^{96} -1.37058e10 q^{97} +(3.34389e9 + 1.93059e9i) q^{98} +(2.58977e9 + 4.48562e9i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} + O(q^{10}) \) \( 72q - 246q^{3} - 38122q^{4} - 3q^{5} + 8511q^{6} + 31377q^{7} + 675876q^{9} - 127061q^{10} + 521524q^{11} - 606618q^{12} + 796742q^{13} - 865794q^{14} - 433513q^{15} + 22423366q^{16} - 1768471q^{17} - 11957547q^{18} - 122844q^{19} + 419841q^{20} - 26778860q^{21} + 16414886q^{23} + 8684578q^{24} + 70516989q^{25} + 3069q^{26} - 97624092q^{28} + 118701393q^{29} - 1455921q^{30} + 10824883q^{31} + 315141798q^{33} + 47529561q^{34} - 333788722q^{35} - 597728908q^{36} - 169881246q^{37} - 88887452q^{38} + 570788831q^{40} - 543049070q^{41} + 408159179q^{43} - 754130886q^{44} + 270181896q^{46} + 348527658q^{47} + 175039227q^{48} + 781091547q^{49} - 663244398q^{50} - 1853993086q^{52} + 219922736q^{53} + 3104867360q^{54} + 2154394182q^{55} + 2010912675q^{56} + 349107351q^{57} + 2023447828q^{58} + 2247595680q^{59} - 2906780465q^{60} + 508093974q^{61} - 3451752063q^{62} + 158921973q^{63} - 13473879716q^{64} + 1277847051q^{66} - 2812410281q^{67} + 13614613118q^{68} - 5113655829q^{69} + 2418191196q^{71} + 26243329290q^{72} - 6537901611q^{73} - 2632816966q^{74} - 10170994206q^{76} - 16936463889q^{77} - 24146069696q^{78} + 5397136602q^{79} + 7242149661q^{80} - 15745886176q^{81} + 4998656042q^{83} + 44726677232q^{84} - 27688564866q^{86} + 37895576172q^{87} - 12151857357q^{89} - 96024912764q^{90} + 36633770214q^{91} - 31643971023q^{92} + 59768940153q^{93} - 19802964089q^{95} - 3289705262q^{96} - 40329658574q^{97} + 19243888221q^{98} + 18506221111q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 49.1410i 1.53566i 0.640655 + 0.767829i \(0.278663\pi\)
−0.640655 + 0.767829i \(0.721337\pi\)
\(3\) −303.612 175.291i −1.24943 0.721360i −0.278436 0.960455i \(-0.589816\pi\)
−0.970996 + 0.239094i \(0.923149\pi\)
\(4\) −1390.84 −1.35824
\(5\) −4917.98 2839.40i −1.57375 0.908607i −0.995703 0.0926061i \(-0.970480\pi\)
−0.578051 0.816001i \(-0.696186\pi\)
\(6\) 8613.96 14919.8i 1.10776 1.91870i
\(7\) 16455.6 9500.64i 0.979092 0.565279i 0.0770960 0.997024i \(-0.475435\pi\)
0.901996 + 0.431745i \(0.142102\pi\)
\(8\) 18027.0i 0.550140i
\(9\) 31929.0 + 55302.7i 0.540721 + 0.936557i
\(10\) 139531. 241675.i 1.39531 2.41675i
\(11\) 81110.3 0.503631 0.251816 0.967775i \(-0.418972\pi\)
0.251816 + 0.967775i \(0.418972\pi\)
\(12\) 422277. + 243801.i 1.69703 + 0.979783i
\(13\) −304481. 527377.i −0.820057 1.42038i −0.905639 0.424049i \(-0.860609\pi\)
0.0855829 0.996331i \(-0.472725\pi\)
\(14\) 466872. + 808645.i 0.868075 + 1.50355i
\(15\) 995439. + 1.72415e6i 1.31087 + 2.27049i
\(16\) −538357. −0.513417
\(17\) −1.25742e6 2.17791e6i −0.885594 1.53389i −0.845031 0.534718i \(-0.820418\pi\)
−0.0405637 0.999177i \(-0.512915\pi\)
\(18\) −2.71763e6 + 1.56903e6i −1.43823 + 0.830363i
\(19\) −1.81352e6 1.04704e6i −0.732411 0.422858i 0.0868923 0.996218i \(-0.472306\pi\)
−0.819304 + 0.573360i \(0.805640\pi\)
\(20\) 6.84013e6 + 3.94915e6i 2.13754 + 1.23411i
\(21\) −6.66149e6 −1.63108
\(22\) 3.98584e6i 0.773405i
\(23\) −815945. + 1.41326e6i −0.126771 + 0.219575i −0.922424 0.386179i \(-0.873795\pi\)
0.795653 + 0.605753i \(0.207128\pi\)
\(24\) −3.15996e6 + 5.47322e6i −0.396849 + 0.687363i
\(25\) 1.12415e7 + 1.94709e7i 1.15113 + 1.99382i
\(26\) 2.59159e7 1.49625e7i 2.18122 1.25933i
\(27\) 1.68598e6i 0.117499i
\(28\) −2.28871e7 + 1.32139e7i −1.32985 + 0.767787i
\(29\) 1.79533e7 1.03653e7i 0.875295 0.505352i 0.00619061 0.999981i \(-0.498029\pi\)
0.869104 + 0.494629i \(0.164696\pi\)
\(30\) −8.47266e7 + 4.89169e7i −3.48669 + 2.01304i
\(31\) −1.62288e7 + 2.81092e7i −0.566864 + 0.981837i 0.430010 + 0.902824i \(0.358510\pi\)
−0.996874 + 0.0790129i \(0.974823\pi\)
\(32\) 4.49151e7i 1.33857i
\(33\) −2.46261e7 1.42179e7i −0.629253 0.363299i
\(34\) 1.07025e8 6.17908e7i 2.35554 1.35997i
\(35\) −1.07904e8 −2.05447
\(36\) −4.44083e7 7.69174e7i −0.734431 1.27207i
\(37\) −7.05691e7 4.07431e7i −1.01767 0.587551i −0.104241 0.994552i \(-0.533241\pi\)
−0.913428 + 0.407001i \(0.866575\pi\)
\(38\) 5.14525e7 8.91184e7i 0.649365 1.12473i
\(39\) 2.13491e8i 2.36622i
\(40\) −5.11858e7 + 8.86564e7i −0.499861 + 0.865785i
\(41\) 5.61284e7 0.484466 0.242233 0.970218i \(-0.422120\pi\)
0.242233 + 0.970218i \(0.422120\pi\)
\(42\) 3.27353e8i 2.50478i
\(43\) −4.18296e7 + 1.40932e8i −0.284539 + 0.958665i
\(44\) −1.12812e8 −0.684054
\(45\) 3.62637e8i 1.96521i
\(46\) −6.94490e7 4.00964e7i −0.337191 0.194678i
\(47\) −1.07206e8 −0.467446 −0.233723 0.972303i \(-0.575091\pi\)
−0.233723 + 0.972303i \(0.575091\pi\)
\(48\) 1.63452e8 + 9.43688e7i 0.641480 + 0.370359i
\(49\) 3.92868e7 6.80467e7i 0.139081 0.240895i
\(50\) −9.56821e8 + 5.52421e8i −3.06183 + 1.76775i
\(51\) 8.81654e8i 2.55533i
\(52\) 4.23485e8 + 7.33498e8i 1.11384 + 1.92922i
\(53\) 1.36162e8 2.35840e8i 0.325594 0.563946i −0.656038 0.754728i \(-0.727769\pi\)
0.981632 + 0.190782i \(0.0611023\pi\)
\(54\) 8.28507e7 0.180438
\(55\) −3.98899e8 2.30304e8i −0.792591 0.457603i
\(56\) −1.71268e8 2.96645e8i −0.310983 0.538638i
\(57\) 3.67072e8 + 6.35787e8i 0.610066 + 1.05666i
\(58\) 5.09364e8 + 8.82244e8i 0.776047 + 1.34415i
\(59\) 8.28435e8 1.15877 0.579387 0.815053i \(-0.303292\pi\)
0.579387 + 0.815053i \(0.303292\pi\)
\(60\) −1.38450e9 2.39802e9i −1.78048 3.08387i
\(61\) 2.95660e8 1.70700e8i 0.350061 0.202108i −0.314651 0.949207i \(-0.601888\pi\)
0.664712 + 0.747100i \(0.268554\pi\)
\(62\) −1.38131e9 7.97502e8i −1.50777 0.870509i
\(63\) 1.05082e9 + 6.06693e8i 1.05883 + 0.611317i
\(64\) 1.65590e9 1.54217
\(65\) 3.45817e9i 2.98044i
\(66\) 6.98681e8 1.21015e9i 0.557903 0.966317i
\(67\) −3.39755e8 + 5.88473e8i −0.251647 + 0.435866i −0.963979 0.265977i \(-0.914306\pi\)
0.712332 + 0.701842i \(0.247639\pi\)
\(68\) 1.74887e9 + 3.02913e9i 1.20285 + 2.08340i
\(69\) 4.95461e8 2.86055e8i 0.316785 0.182896i
\(70\) 5.30253e9i 3.15496i
\(71\) −1.82154e9 + 1.05167e9i −1.00960 + 0.582891i −0.911074 0.412244i \(-0.864745\pi\)
−0.0985230 + 0.995135i \(0.531412\pi\)
\(72\) 9.96942e8 5.75585e8i 0.515238 0.297473i
\(73\) −1.47999e8 + 8.54472e7i −0.0713911 + 0.0412177i −0.535271 0.844681i \(-0.679790\pi\)
0.463880 + 0.885898i \(0.346457\pi\)
\(74\) 2.00216e9 3.46784e9i 0.902277 1.56279i
\(75\) 7.88214e9i 3.32153i
\(76\) 2.52232e9 + 1.45626e9i 0.994794 + 0.574344i
\(77\) 1.33472e9 7.70600e8i 0.493101 0.284692i
\(78\) −1.04912e10 −3.63371
\(79\) −8.89947e7 1.54143e8i −0.0289220 0.0500944i 0.851202 0.524838i \(-0.175874\pi\)
−0.880124 + 0.474744i \(0.842541\pi\)
\(80\) 2.64763e9 + 1.52861e9i 0.807992 + 0.466494i
\(81\) 1.58984e9 2.75369e9i 0.455962 0.789750i
\(82\) 2.75821e9i 0.743974i
\(83\) 1.76371e9 3.05483e9i 0.447750 0.775526i −0.550489 0.834842i \(-0.685559\pi\)
0.998239 + 0.0593166i \(0.0188922\pi\)
\(84\) 9.26508e9 2.21540
\(85\) 1.42812e10i 3.21863i
\(86\) −6.92553e9 2.05555e9i −1.47218 0.436954i
\(87\) −7.26779e9 −1.45816
\(88\) 1.46218e9i 0.277068i
\(89\) 1.94400e9 + 1.12237e9i 0.348134 + 0.200995i 0.663863 0.747854i \(-0.268916\pi\)
−0.315729 + 0.948849i \(0.602249\pi\)
\(90\) 1.78204e10 3.01789
\(91\) −1.00208e10 5.78554e9i −1.60582 0.927121i
\(92\) 1.13485e9 1.96562e9i 0.172187 0.298236i
\(93\) 9.85454e9 5.68952e9i 1.41652 0.817826i
\(94\) 5.26824e9i 0.717837i
\(95\) 5.94591e9 + 1.02986e10i 0.768423 + 1.33095i
\(96\) −7.87318e9 + 1.36368e10i −0.965593 + 1.67246i
\(97\) −1.37058e10 −1.59604 −0.798022 0.602629i \(-0.794120\pi\)
−0.798022 + 0.602629i \(0.794120\pi\)
\(98\) 3.34389e9 + 1.93059e9i 0.369932 + 0.213580i
\(99\) 2.58977e9 + 4.48562e9i 0.272324 + 0.471679i
\(100\) −1.56352e10 2.70810e10i −1.56352 2.70810i
\(101\) 3.67510e7 + 6.36545e7i 0.00349673 + 0.00605651i 0.867768 0.496969i \(-0.165554\pi\)
−0.864272 + 0.503025i \(0.832220\pi\)
\(102\) −4.33254e10 −3.92411
\(103\) 1.03982e10 + 1.80101e10i 0.896954 + 1.55357i 0.831368 + 0.555722i \(0.187558\pi\)
0.0655857 + 0.997847i \(0.479108\pi\)
\(104\) −9.50703e9 + 5.48888e9i −0.781408 + 0.451146i
\(105\) 3.27611e10 + 1.89146e10i 2.56692 + 1.48201i
\(106\) 1.15894e10 + 6.69115e9i 0.866028 + 0.500002i
\(107\) 1.02420e10 0.730238 0.365119 0.930961i \(-0.381028\pi\)
0.365119 + 0.930961i \(0.381028\pi\)
\(108\) 2.34493e9i 0.159592i
\(109\) 8.31906e9 1.44090e10i 0.540682 0.936488i −0.458184 0.888858i \(-0.651500\pi\)
0.998865 0.0476303i \(-0.0151669\pi\)
\(110\) 1.13174e10 1.96023e10i 0.702721 1.21715i
\(111\) 1.42838e10 + 2.47402e10i 0.847672 + 1.46821i
\(112\) −8.85898e9 + 5.11473e9i −0.502682 + 0.290224i
\(113\) 6.05004e9i 0.328372i −0.986429 0.164186i \(-0.947500\pi\)
0.986429 0.164186i \(-0.0524997\pi\)
\(114\) −3.12432e10 + 1.80383e10i −1.62268 + 0.936852i
\(115\) 8.02560e9 4.63358e9i 0.399014 0.230371i
\(116\) −2.49702e10 + 1.44166e10i −1.18886 + 0.686391i
\(117\) 1.94436e10 3.36773e10i 0.886844 1.53606i
\(118\) 4.07102e10i 1.77948i
\(119\) −4.13831e10 2.38926e10i −1.73416 1.00122i
\(120\) 3.10813e10 1.79448e10i 1.24909 0.721160i
\(121\) −1.93585e10 −0.746356
\(122\) 8.38835e9 + 1.45291e10i 0.310368 + 0.537574i
\(123\) −1.70413e10 9.83878e9i −0.605308 0.349475i
\(124\) 2.25717e10 3.90954e10i 0.769940 1.33357i
\(125\) 7.22198e10i 2.36650i
\(126\) −2.98135e10 + 5.16385e10i −0.938773 + 1.62600i
\(127\) 1.54263e10 0.466921 0.233460 0.972366i \(-0.424995\pi\)
0.233460 + 0.972366i \(0.424995\pi\)
\(128\) 3.53794e10i 1.02968i
\(129\) 3.74040e10 3.54563e10i 1.04705 0.992532i
\(130\) −1.69938e11 −4.57693
\(131\) 2.18018e10i 0.565115i 0.959250 + 0.282557i \(0.0911827\pi\)
−0.959250 + 0.282557i \(0.908817\pi\)
\(132\) 3.42510e10 + 1.97748e10i 0.854679 + 0.493449i
\(133\) −3.97901e10 −0.956131
\(134\) −2.89182e10 1.66959e10i −0.669340 0.386444i
\(135\) −4.78716e9 + 8.29160e9i −0.106760 + 0.184914i
\(136\) −3.92612e10 + 2.26675e10i −0.843858 + 0.487201i
\(137\) 4.64369e9i 0.0962188i −0.998842 0.0481094i \(-0.984680\pi\)
0.998842 0.0481094i \(-0.0153196\pi\)
\(138\) 1.40570e10 + 2.43475e10i 0.280865 + 0.486473i
\(139\) −1.75907e10 + 3.04680e10i −0.339007 + 0.587177i −0.984246 0.176803i \(-0.943424\pi\)
0.645239 + 0.763981i \(0.276758\pi\)
\(140\) 1.50078e11 2.79047
\(141\) 3.25492e10 + 1.87923e10i 0.584042 + 0.337197i
\(142\) −5.16801e10 8.95126e10i −0.895121 1.55039i
\(143\) −2.46966e10 4.27757e10i −0.413006 0.715347i
\(144\) −1.71892e10 2.97726e10i −0.277615 0.480844i
\(145\) −1.17725e11 −1.83666
\(146\) −4.19896e9 7.27282e9i −0.0632962 0.109632i
\(147\) −2.38559e10 + 1.37732e10i −0.347544 + 0.200654i
\(148\) 9.81505e10 + 5.66672e10i 1.38224 + 0.798038i
\(149\) 4.85168e10 + 2.80112e10i 0.660634 + 0.381417i 0.792519 0.609848i \(-0.208769\pi\)
−0.131884 + 0.991265i \(0.542103\pi\)
\(150\) 3.87337e11 5.10073
\(151\) 3.59769e10i 0.458289i 0.973392 + 0.229144i \(0.0735928\pi\)
−0.973392 + 0.229144i \(0.926407\pi\)
\(152\) −1.88750e10 + 3.26924e10i −0.232631 + 0.402929i
\(153\) 8.02963e10 1.39077e11i 0.957719 1.65882i
\(154\) 3.78681e10 + 6.55894e10i 0.437189 + 0.757234i
\(155\) 1.59626e11 9.21602e10i 1.78421 1.03011i
\(156\) 2.96932e11i 3.21391i
\(157\) 1.23656e11 7.13929e10i 1.29634 0.748440i 0.316567 0.948570i \(-0.397470\pi\)
0.979769 + 0.200130i \(0.0641366\pi\)
\(158\) 7.57477e9 4.37329e9i 0.0769279 0.0444143i
\(159\) −8.26809e10 + 4.77359e10i −0.813617 + 0.469742i
\(160\) −1.27532e11 + 2.20891e11i −1.21624 + 2.10658i
\(161\) 3.10080e10i 0.286645i
\(162\) 1.35319e11 + 7.81265e10i 1.21279 + 0.700202i
\(163\) −5.14289e10 + 2.96925e10i −0.446961 + 0.258053i −0.706546 0.707667i \(-0.749748\pi\)
0.259585 + 0.965720i \(0.416414\pi\)
\(164\) −7.80658e10 −0.658024
\(165\) 8.07403e10 + 1.39846e11i 0.660193 + 1.14349i
\(166\) 1.50117e11 + 8.66703e10i 1.19094 + 0.687591i
\(167\) 2.96391e10 5.13364e10i 0.228183 0.395224i −0.729087 0.684421i \(-0.760055\pi\)
0.957270 + 0.289197i \(0.0933884\pi\)
\(168\) 1.20087e11i 0.897323i
\(169\) −1.16488e11 + 2.01764e11i −0.844986 + 1.46356i
\(170\) −7.01794e11 −4.94271
\(171\) 1.33724e11i 0.914593i
\(172\) 5.81784e10 1.96014e11i 0.386473 1.30210i
\(173\) −2.35065e11 −1.51690 −0.758450 0.651732i \(-0.774043\pi\)
−0.758450 + 0.651732i \(0.774043\pi\)
\(174\) 3.57147e11i 2.23924i
\(175\) 3.69972e11 + 2.13604e11i 2.25413 + 1.30142i
\(176\) −4.36663e10 −0.258573
\(177\) −2.51523e11 1.45217e11i −1.44781 0.835893i
\(178\) −5.51544e10 + 9.55302e10i −0.308660 + 0.534614i
\(179\) 1.04795e11 6.05036e10i 0.570265 0.329242i −0.186990 0.982362i \(-0.559873\pi\)
0.757255 + 0.653119i \(0.226540\pi\)
\(180\) 5.04371e11i 2.66924i
\(181\) 6.48919e10 + 1.12396e11i 0.334039 + 0.578573i 0.983300 0.181993i \(-0.0582548\pi\)
−0.649261 + 0.760566i \(0.724922\pi\)
\(182\) 2.84307e11 4.92435e11i 1.42374 2.46599i
\(183\) −1.19688e11 −0.583170
\(184\) 2.54768e10 + 1.47090e10i 0.120797 + 0.0697421i
\(185\) 2.31372e11 + 4.00748e11i 1.06771 + 1.84932i
\(186\) 2.79589e11 + 4.84262e11i 1.25590 + 2.17528i
\(187\) −1.01989e11 1.76651e11i −0.446013 0.772517i
\(188\) 1.49107e11 0.634906
\(189\) −1.60179e10 2.77438e10i −0.0664195 0.115042i
\(190\) −5.06085e11 + 2.92188e11i −2.04388 + 1.18004i
\(191\) 4.82271e10 + 2.78439e10i 0.189725 + 0.109538i 0.591854 0.806045i \(-0.298396\pi\)
−0.402129 + 0.915583i \(0.631730\pi\)
\(192\) −5.02750e11 2.90263e11i −1.92684 1.11246i
\(193\) −8.90181e10 −0.332423 −0.166212 0.986090i \(-0.553154\pi\)
−0.166212 + 0.986090i \(0.553154\pi\)
\(194\) 6.73516e11i 2.45098i
\(195\) 6.06185e11 1.04994e12i 2.14997 3.72385i
\(196\) −5.46417e10 + 9.46423e10i −0.188905 + 0.327194i
\(197\) −1.72143e11 2.98160e11i −0.580173 1.00489i −0.995458 0.0951982i \(-0.969652\pi\)
0.415285 0.909691i \(-0.363682\pi\)
\(198\) −2.20428e11 + 1.27264e11i −0.724337 + 0.418196i
\(199\) 2.32933e11i 0.746391i 0.927753 + 0.373195i \(0.121738\pi\)
−0.927753 + 0.373195i \(0.878262\pi\)
\(200\) 3.51002e11 2.02651e11i 1.09688 0.633285i
\(201\) 2.06308e11 1.19112e11i 0.628832 0.363056i
\(202\) −3.12805e9 + 1.80598e9i −0.00930073 + 0.00536978i
\(203\) 1.96955e11 3.41136e11i 0.571329 0.989571i
\(204\) 1.22624e12i 3.47076i
\(205\) −2.76038e11 1.59371e11i −0.762430 0.440189i
\(206\) −8.85036e11 + 5.10976e11i −2.38575 + 1.37741i
\(207\) −1.04209e11 −0.274192
\(208\) 1.63919e11 + 2.83917e11i 0.421031 + 0.729247i
\(209\) −1.47095e11 8.49255e10i −0.368865 0.212964i
\(210\) −9.29484e11 + 1.60991e12i −2.27586 + 3.94190i
\(211\) 1.49533e11i 0.357540i −0.983891 0.178770i \(-0.942788\pi\)
0.983891 0.178770i \(-0.0572118\pi\)
\(212\) −1.89380e11 + 3.28016e11i −0.442237 + 0.765977i
\(213\) 7.37390e11 1.68190
\(214\) 5.03301e11i 1.12140i
\(215\) 6.05878e11 5.74329e11i 1.31884 1.25017i
\(216\) −3.03931e10 −0.0646407
\(217\) 6.16737e11i 1.28175i
\(218\) 7.08075e11 + 4.08807e11i 1.43812 + 0.830302i
\(219\) 5.99123e10 0.118931
\(220\) 5.54805e11 + 3.20317e11i 1.07653 + 0.621536i
\(221\) −7.65720e11 + 1.32627e12i −1.45248 + 2.51576i
\(222\) −1.21576e12 + 7.01919e11i −2.25467 + 1.30173i
\(223\) 5.87357e10i 0.106507i 0.998581 + 0.0532534i \(0.0169591\pi\)
−0.998581 + 0.0532534i \(0.983041\pi\)
\(224\) −4.26722e11 7.39104e11i −0.756667 1.31059i
\(225\) −7.17863e11 + 1.24338e12i −1.24488 + 2.15620i
\(226\) 2.97305e11 0.504267
\(227\) 7.80019e11 + 4.50344e11i 1.29412 + 0.747163i 0.979383 0.202014i \(-0.0647487\pi\)
0.314742 + 0.949177i \(0.398082\pi\)
\(228\) −5.10539e11 8.84279e11i −0.828618 1.43521i
\(229\) −4.85615e11 8.41109e11i −0.771107 1.33560i −0.936957 0.349445i \(-0.886370\pi\)
0.165850 0.986151i \(-0.446963\pi\)
\(230\) 2.27699e11 + 3.94386e11i 0.353771 + 0.612749i
\(231\) −5.40315e11 −0.821462
\(232\) −1.86856e11 3.23644e11i −0.278014 0.481535i
\(233\) 9.65438e11 5.57396e11i 1.40587 0.811679i 0.410883 0.911688i \(-0.365221\pi\)
0.994987 + 0.100009i \(0.0318872\pi\)
\(234\) 1.65494e12 + 9.55478e11i 2.35886 + 1.36189i
\(235\) 5.27239e11 + 3.04402e11i 0.735645 + 0.424725i
\(236\) −1.15222e12 −1.57390
\(237\) 6.23997e10i 0.0834528i
\(238\) 1.17410e12 2.03361e12i 1.53752 2.66307i
\(239\) −2.50828e11 + 4.34447e11i −0.321652 + 0.557118i −0.980829 0.194870i \(-0.937571\pi\)
0.659177 + 0.751988i \(0.270905\pi\)
\(240\) −5.35901e11 9.28208e11i −0.673021 1.16571i
\(241\) 5.72518e11 3.30544e11i 0.704213 0.406578i −0.104701 0.994504i \(-0.533389\pi\)
0.808915 + 0.587926i \(0.200055\pi\)
\(242\) 9.51299e11i 1.14615i
\(243\) −1.05161e12 + 6.07146e11i −1.24115 + 0.716576i
\(244\) −4.11217e11 + 2.37416e11i −0.475468 + 0.274512i
\(245\) −3.86423e11 + 2.23102e11i −0.437757 + 0.252739i
\(246\) 4.83488e11 8.37426e11i 0.536674 0.929546i
\(247\) 1.27521e12i 1.38707i
\(248\) 5.06724e11 + 2.92557e11i 0.540148 + 0.311855i
\(249\) −1.07096e12 + 6.18322e11i −1.11887 + 0.645978i
\(250\) 3.54895e12 3.63413
\(251\) 2.71412e11 + 4.70099e11i 0.272433 + 0.471868i 0.969484 0.245153i \(-0.0788383\pi\)
−0.697051 + 0.717021i \(0.745505\pi\)
\(252\) −1.46153e12 8.43814e11i −1.43815 0.830317i
\(253\) −6.61815e10 + 1.14630e11i −0.0638460 + 0.110585i
\(254\) 7.58065e11i 0.717030i
\(255\) 2.50336e12 4.33595e12i 2.32179 4.02146i
\(256\) −4.29444e10 −0.0390577
\(257\) 2.76770e11i 0.246862i 0.992353 + 0.123431i \(0.0393897\pi\)
−0.992353 + 0.123431i \(0.960610\pi\)
\(258\) 1.74236e12 + 1.83807e12i 1.52419 + 1.60792i
\(259\) −1.54834e12 −1.32852
\(260\) 4.80977e12i 4.04816i
\(261\) 1.14646e12 + 6.61911e11i 0.946581 + 0.546509i
\(262\) −1.07136e12 −0.867823
\(263\) 1.51469e12 + 8.74504e11i 1.20377 + 0.694997i 0.961392 0.275184i \(-0.0887389\pi\)
0.242379 + 0.970182i \(0.422072\pi\)
\(264\) −2.56305e11 + 4.43934e11i −0.199866 + 0.346178i
\(265\) −1.33929e12 + 7.73237e11i −1.02481 + 0.591675i
\(266\) 1.95533e12i 1.46829i
\(267\) −3.93481e11 6.81530e11i −0.289980 0.502260i
\(268\) 4.72546e11 8.18473e11i 0.341798 0.592012i
\(269\) −2.44524e11 −0.173604 −0.0868020 0.996226i \(-0.527665\pi\)
−0.0868020 + 0.996226i \(0.527665\pi\)
\(270\) −4.07458e11 2.35246e11i −0.283964 0.163947i
\(271\) −9.69020e11 1.67839e12i −0.662958 1.14828i −0.979835 0.199811i \(-0.935967\pi\)
0.316876 0.948467i \(-0.397366\pi\)
\(272\) 6.76939e11 + 1.17249e12i 0.454679 + 0.787527i
\(273\) 2.02830e12 + 3.51312e12i 1.33758 + 2.31675i
\(274\) 2.28196e11 0.147759
\(275\) 9.11804e11 + 1.57929e12i 0.579746 + 1.00415i
\(276\) −6.89109e11 + 3.97857e11i −0.430271 + 0.248417i
\(277\) −1.60469e12 9.26465e11i −0.983991 0.568107i −0.0805181 0.996753i \(-0.525657\pi\)
−0.903473 + 0.428646i \(0.858991\pi\)
\(278\) −1.49723e12 8.64425e11i −0.901704 0.520599i
\(279\) −2.07268e12 −1.22606
\(280\) 1.94519e12i 1.13024i
\(281\) −1.42241e12 + 2.46369e12i −0.811883 + 1.40622i 0.0996622 + 0.995021i \(0.468224\pi\)
−0.911545 + 0.411201i \(0.865110\pi\)
\(282\) −9.23472e11 + 1.59950e12i −0.517819 + 0.896889i
\(283\) −1.40423e12 2.43220e12i −0.773582 1.33988i −0.935588 0.353093i \(-0.885130\pi\)
0.162006 0.986790i \(-0.448203\pi\)
\(284\) 2.53348e12 1.46271e12i 1.37128 0.791708i
\(285\) 4.16905e12i 2.21724i
\(286\) 2.10204e12 1.21361e12i 1.09853 0.634236i
\(287\) 9.23627e11 5.33256e11i 0.474337 0.273859i
\(288\) 2.48393e12 1.43409e12i 1.25365 0.723795i
\(289\) −2.15420e12 + 3.73119e12i −1.06856 + 1.85079i
\(290\) 5.78514e12i 2.82049i
\(291\) 4.16124e12 + 2.40249e12i 1.99415 + 1.15132i
\(292\) 2.05843e11 1.18844e11i 0.0969665 0.0559837i
\(293\) −1.56527e12 −0.724854 −0.362427 0.932012i \(-0.618052\pi\)
−0.362427 + 0.932012i \(0.618052\pi\)
\(294\) −6.76830e11 1.17230e12i −0.308136 0.533708i
\(295\) −4.07423e12 2.35226e12i −1.82362 1.05287i
\(296\) −7.34476e11 + 1.27215e12i −0.323236 + 0.559861i
\(297\) 1.36750e11i 0.0591760i
\(298\) −1.37650e12 + 2.38417e12i −0.585726 + 1.01451i
\(299\) 9.93759e11 0.415839
\(300\) 1.09628e13i 4.51144i
\(301\) 6.50611e11 + 2.71652e12i 0.263323 + 1.09946i
\(302\) −1.76794e12 −0.703775
\(303\) 2.57684e10i 0.0100896i
\(304\) 9.76322e11 + 5.63680e11i 0.376032 + 0.217102i
\(305\) −1.93873e12 −0.734546
\(306\) 6.83440e12 + 3.94584e12i 2.54738 + 1.47073i
\(307\) −1.78232e12 + 3.08707e12i −0.653572 + 1.13202i 0.328677 + 0.944442i \(0.393397\pi\)
−0.982250 + 0.187578i \(0.939936\pi\)
\(308\) −1.85638e12 + 1.07178e12i −0.669752 + 0.386681i
\(309\) 7.29079e12i 2.58811i
\(310\) 4.52885e12 + 7.84420e12i 1.58190 + 2.73993i
\(311\) 2.56623e11 4.44485e11i 0.0882052 0.152776i −0.818547 0.574439i \(-0.805220\pi\)
0.906753 + 0.421663i \(0.138554\pi\)
\(312\) 3.84860e12 1.30176
\(313\) 2.63221e12 + 1.51971e12i 0.876192 + 0.505870i 0.869401 0.494107i \(-0.164505\pi\)
0.00679121 + 0.999977i \(0.497838\pi\)
\(314\) 3.50832e12 + 6.07659e12i 1.14935 + 1.99073i
\(315\) −3.44528e12 5.96741e12i −1.11089 1.92412i
\(316\) 1.23778e11 + 2.14389e11i 0.0392832 + 0.0680405i
\(317\) −2.82260e12 −0.881765 −0.440882 0.897565i \(-0.645334\pi\)
−0.440882 + 0.897565i \(0.645334\pi\)
\(318\) −2.34579e12 4.06303e12i −0.721362 1.24944i
\(319\) 1.45620e12 8.40736e11i 0.440826 0.254511i
\(320\) −8.14366e12 4.70174e12i −2.42700 1.40123i
\(321\) −3.10959e12 1.79532e12i −0.912383 0.526765i
\(322\) −1.52377e12 −0.440189
\(323\) 5.26626e12i 1.49792i
\(324\) −2.21122e12 + 3.82995e12i −0.619308 + 1.07267i
\(325\) 6.84567e12 1.18571e13i 1.88799 3.27009i
\(326\) −1.45912e12 2.52727e12i −0.396281 0.686379i
\(327\) −5.05153e12 + 2.91650e12i −1.35109 + 0.780052i
\(328\) 1.01183e12i 0.266525i
\(329\) −1.76415e12 + 1.01853e12i −0.457673 + 0.264237i
\(330\) −6.87219e12 + 3.96766e12i −1.75601 + 1.01383i
\(331\) −2.71169e12 + 1.56559e12i −0.682495 + 0.394039i −0.800794 0.598939i \(-0.795589\pi\)
0.118299 + 0.992978i \(0.462256\pi\)
\(332\) −2.45304e12 + 4.24878e12i −0.608154 + 1.05335i
\(333\) 5.20356e12i 1.27081i
\(334\) 2.52272e12 + 1.45650e12i 0.606928 + 0.350410i
\(335\) 3.34182e12 1.92940e12i 0.792061 0.457297i
\(336\) 3.58626e12 0.837423
\(337\) −9.29090e11 1.60923e12i −0.213751 0.370228i 0.739134 0.673558i \(-0.235235\pi\)
−0.952886 + 0.303330i \(0.901902\pi\)
\(338\) −9.91489e12 5.72436e12i −2.24752 1.29761i
\(339\) −1.06051e12 + 1.83687e12i −0.236874 + 0.410279i
\(340\) 1.98629e13i 4.37168i
\(341\) −1.31633e12 + 2.27994e12i −0.285490 + 0.494484i
\(342\) 6.57132e12 1.40450
\(343\) 3.87439e12i 0.816081i
\(344\) 2.54058e12 + 7.54063e11i 0.527400 + 0.156536i
\(345\) −3.24889e12 −0.664722
\(346\) 1.15513e13i 2.32944i
\(347\) 2.02865e12 + 1.17124e12i 0.403235 + 0.232808i 0.687879 0.725825i \(-0.258542\pi\)
−0.284644 + 0.958633i \(0.591875\pi\)
\(348\) 1.01083e13 1.98054
\(349\) 5.46547e12 + 3.15549e12i 1.05560 + 0.609452i 0.924213 0.381879i \(-0.124723\pi\)
0.131390 + 0.991331i \(0.458056\pi\)
\(350\) −1.04967e13 + 1.81808e13i −1.99854 + 3.46157i
\(351\) −8.89145e11 + 5.13348e11i −0.166893 + 0.0963555i
\(352\) 3.64307e12i 0.674147i
\(353\) −1.58876e12 2.75182e12i −0.289859 0.502050i 0.683917 0.729560i \(-0.260275\pi\)
−0.973776 + 0.227510i \(0.926942\pi\)
\(354\) 7.13611e12 1.23601e13i 1.28365 2.22334i
\(355\) 1.19444e13 2.11847
\(356\) −2.70380e12 1.56104e12i −0.472851 0.273000i
\(357\) 8.37628e12 + 1.45081e13i 1.44447 + 2.50190i
\(358\) 2.97321e12 + 5.14975e12i 0.505604 + 0.875731i
\(359\) −5.04813e12 8.74362e12i −0.846561 1.46629i −0.884259 0.466997i \(-0.845336\pi\)
0.0376979 0.999289i \(-0.487998\pi\)
\(360\) −6.53726e12 −1.08114
\(361\) −8.72956e11 1.51200e12i −0.142382 0.246614i
\(362\) −5.52326e12 + 3.18886e12i −0.888490 + 0.512970i
\(363\) 5.87749e12 + 3.39337e12i 0.932521 + 0.538391i
\(364\) 1.39374e13 + 8.04677e12i 2.18110 + 1.25926i
\(365\) 9.70474e11 0.149803
\(366\) 5.88160e12i 0.895550i
\(367\) 8.91535e11 1.54418e12i 0.133909 0.231936i −0.791271 0.611465i \(-0.790581\pi\)
0.925180 + 0.379529i \(0.123914\pi\)
\(368\) 4.39269e11 7.60837e11i 0.0650866 0.112733i
\(369\) 1.79213e12 + 3.10406e12i 0.261961 + 0.453730i
\(370\) −1.96932e13 + 1.13698e13i −2.83992 + 1.63963i
\(371\) 5.17451e12i 0.736207i
\(372\) −1.37061e13 + 7.91323e12i −1.92398 + 1.11081i
\(373\) 1.16755e13 6.74085e12i 1.61708 0.933621i 0.629408 0.777075i \(-0.283297\pi\)
0.987671 0.156546i \(-0.0500360\pi\)
\(374\) 8.68081e12 5.01187e12i 1.18632 0.684923i
\(375\) −1.26594e13 + 2.19268e13i −1.70710 + 2.95678i
\(376\) 1.93261e12i 0.257161i
\(377\) −1.09329e13 6.31211e12i −1.43558 0.828834i
\(378\) 1.36336e12 7.87135e11i 0.176665 0.101998i
\(379\) −1.79336e12 −0.229336 −0.114668 0.993404i \(-0.536580\pi\)
−0.114668 + 0.993404i \(0.536580\pi\)
\(380\) −8.26983e12 1.43238e13i −1.04371 1.80775i
\(381\) −4.68361e12 2.70408e12i −0.583386 0.336818i
\(382\) −1.36828e12 + 2.36993e12i −0.168212 + 0.291353i
\(383\) 9.35753e12i 1.13545i −0.823219 0.567724i \(-0.807824\pi\)
0.823219 0.567724i \(-0.192176\pi\)
\(384\) 6.20168e12 1.07416e13i 0.742768 1.28651i
\(385\) −8.75215e12 −1.03469
\(386\) 4.37444e12i 0.510488i
\(387\) −9.12949e12 + 2.18653e12i −1.05170 + 0.251884i
\(388\) 1.90626e13 2.16782
\(389\) 5.40030e11i 0.0606275i −0.999540 0.0303138i \(-0.990349\pi\)
0.999540 0.0303138i \(-0.00965065\pi\)
\(390\) 5.15953e13 + 2.97886e13i 5.71857 + 3.30162i
\(391\) 4.10393e12 0.449072
\(392\) −1.22668e12 7.08223e11i −0.132526 0.0765138i
\(393\) 3.82166e12 6.61930e12i 0.407651 0.706073i
\(394\) 1.46519e13 8.45928e12i 1.54317 0.890947i
\(395\) 1.01077e12i 0.105115i
\(396\) −3.60197e12 6.23879e12i −0.369882 0.640655i
\(397\) −3.63447e12 + 6.29509e12i −0.368544 + 0.638337i −0.989338 0.145637i \(-0.953477\pi\)
0.620794 + 0.783973i \(0.286810\pi\)
\(398\) −1.14466e13 −1.14620
\(399\) 1.20808e13 + 6.97483e12i 1.19462 + 0.689715i
\(400\) −6.05195e12 1.04823e13i −0.591011 1.02366i
\(401\) 1.25140e12 + 2.16749e12i 0.120691 + 0.209043i 0.920040 0.391824i \(-0.128156\pi\)
−0.799350 + 0.600866i \(0.794822\pi\)
\(402\) 5.85327e12 + 1.01382e13i 0.557530 + 0.965671i
\(403\) 1.97655e13 1.85944
\(404\) −5.11148e10 8.85334e10i −0.00474941 0.00822622i
\(405\) −1.56376e13 + 9.02839e12i −1.43514 + 0.828581i
\(406\) 1.67638e13 + 9.67857e12i 1.51964 + 0.877366i
\(407\) −5.72388e12 3.30469e12i −0.512529 0.295909i
\(408\) 1.58936e13 1.40579
\(409\) 1.71071e13i 1.49472i 0.664417 + 0.747362i \(0.268680\pi\)
−0.664417 + 0.747362i \(0.731320\pi\)
\(410\) 7.83165e12 1.35648e13i 0.675980 1.17083i
\(411\) −8.13994e11 + 1.40988e12i −0.0694084 + 0.120219i
\(412\) −1.44622e13 2.50492e13i −1.21828 2.11013i
\(413\) 1.36324e13 7.87067e12i 1.13455 0.655030i
\(414\) 5.12096e12i 0.421065i
\(415\) −1.73477e13 + 1.00157e13i −1.40930 + 0.813657i
\(416\) −2.36872e13 + 1.36758e13i −1.90128 + 1.09771i
\(417\) 1.06815e13 6.16696e12i 0.847133 0.489092i
\(418\) 4.17333e12 7.22842e12i 0.327040 0.566450i
\(419\) 7.26549e12i 0.562594i 0.959621 + 0.281297i \(0.0907646\pi\)
−0.959621 + 0.281297i \(0.909235\pi\)
\(420\) −4.55655e13 2.63072e13i −3.48650 2.01293i
\(421\) −1.44275e13 + 8.32975e12i −1.09089 + 0.629827i −0.933814 0.357759i \(-0.883541\pi\)
−0.157079 + 0.987586i \(0.550208\pi\)
\(422\) 7.34820e12 0.549059
\(423\) −3.42300e12 5.92881e12i −0.252758 0.437790i
\(424\) −4.25148e12 2.45459e12i −0.310250 0.179123i
\(425\) 2.82706e13 4.89661e13i 2.03887 3.53143i
\(426\) 3.62361e13i 2.58282i
\(427\) 3.24351e12 5.61793e12i 0.228495 0.395764i
\(428\) −1.42450e13 −0.991842
\(429\) 1.73163e13i 1.19170i
\(430\) 2.82231e13 + 2.97735e13i 1.91983 + 2.02529i
\(431\) −2.20949e13 −1.48561 −0.742807 0.669506i \(-0.766506\pi\)
−0.742807 + 0.669506i \(0.766506\pi\)
\(432\) 9.07657e11i 0.0603258i
\(433\) −4.23745e12 2.44649e12i −0.278397 0.160733i 0.354300 0.935132i \(-0.384719\pi\)
−0.632698 + 0.774399i \(0.718052\pi\)
\(434\) −3.03071e13 −1.96832
\(435\) 3.57428e13 + 2.06361e13i 2.29479 + 1.32490i
\(436\) −1.15705e13 + 2.00407e13i −0.734378 + 1.27198i
\(437\) 2.95947e12 1.70865e12i 0.185698 0.107213i
\(438\) 2.94415e12i 0.182638i
\(439\) 3.01801e12 + 5.22734e12i 0.185096 + 0.320596i 0.943609 0.331062i \(-0.107407\pi\)
−0.758513 + 0.651658i \(0.774074\pi\)
\(440\) −4.15170e12 + 7.19095e12i −0.251746 + 0.436036i
\(441\) 5.01756e12 0.300815
\(442\) −6.51741e13 3.76283e13i −3.86335 2.23050i
\(443\) 2.55193e11 + 4.42008e11i 0.0149572 + 0.0259066i 0.873407 0.486991i \(-0.161905\pi\)
−0.858450 + 0.512897i \(0.828572\pi\)
\(444\) −1.98665e13 3.44097e13i −1.15135 1.99419i
\(445\) −6.37370e12 1.10396e13i −0.365251 0.632634i
\(446\) −2.88633e12 −0.163558
\(447\) −9.82020e12 1.70091e13i −0.550279 0.953110i
\(448\) 2.72487e13 1.57321e13i 1.50993 0.871758i
\(449\) 2.97297e13 + 1.71644e13i 1.62914 + 0.940584i 0.984350 + 0.176224i \(0.0563884\pi\)
0.644790 + 0.764360i \(0.276945\pi\)
\(450\) −6.11008e13 3.52765e13i −3.31119 1.91172i
\(451\) 4.55259e12 0.243992
\(452\) 8.41465e12i 0.446009i
\(453\) 6.30642e12 1.09230e13i 0.330591 0.572601i
\(454\) −2.21304e13 + 3.83310e13i −1.14739 + 1.98733i
\(455\) 3.28549e13 + 5.69063e13i 1.68478 + 2.91812i
\(456\) 1.14613e13 6.61720e12i 0.581314 0.335622i
\(457\) 1.21437e13i 0.609213i −0.952478 0.304606i \(-0.901475\pi\)
0.952478 0.304606i \(-0.0985249\pi\)
\(458\) 4.13330e13 2.38636e13i 2.05102 1.18416i
\(459\) −3.67191e12 + 2.11998e12i −0.180231 + 0.104056i
\(460\) −1.11623e13 + 6.44458e12i −0.541959 + 0.312900i
\(461\) 1.59068e13 2.75514e13i 0.763972 1.32324i −0.176816 0.984244i \(-0.556580\pi\)
0.940788 0.338995i \(-0.110087\pi\)
\(462\) 2.65517e13i 1.26148i
\(463\) 1.92342e13 + 1.11049e13i 0.904004 + 0.521927i 0.878497 0.477748i \(-0.158547\pi\)
0.0255068 + 0.999675i \(0.491880\pi\)
\(464\) −9.66528e12 + 5.58025e12i −0.449391 + 0.259456i
\(465\) −6.46192e13 −2.97233
\(466\) 2.73910e13 + 4.74426e13i 1.24646 + 2.15893i
\(467\) −2.70001e13 1.55885e13i −1.21557 0.701812i −0.251607 0.967830i \(-0.580959\pi\)
−0.963968 + 0.266017i \(0.914292\pi\)
\(468\) −2.70430e13 + 4.68398e13i −1.20455 + 2.08634i
\(469\) 1.29116e13i 0.569003i
\(470\) −1.49586e13 + 2.59091e13i −0.652232 + 1.12970i
\(471\) −5.00580e13 −2.15958
\(472\) 1.49342e13i 0.637488i
\(473\) −3.39281e12 + 1.14310e13i −0.143303 + 0.482813i
\(474\) −3.06639e12 −0.128155
\(475\) 4.70813e13i 1.94706i
\(476\) 5.75574e13 + 3.32308e13i 2.35541 + 1.35990i
\(477\) 1.73901e13 0.704223
\(478\) −2.13492e13 1.23259e13i −0.855542 0.493947i
\(479\) 1.54355e13 2.67351e13i 0.612131 1.06024i −0.378750 0.925499i \(-0.623646\pi\)
0.990881 0.134743i \(-0.0430207\pi\)
\(480\) 7.74403e13 4.47102e13i 3.03921 1.75469i
\(481\) 4.96221e13i 1.92730i
\(482\) 1.62433e13 + 2.81341e13i 0.624364 + 1.08143i
\(483\) 5.43541e12 9.41440e12i 0.206774 0.358144i
\(484\) 2.69247e13 1.01373
\(485\) 6.74047e13 + 3.89161e13i 2.51178 + 1.45018i
\(486\) −2.98358e13 5.16771e13i −1.10041 1.90597i
\(487\) 8.89042e12 + 1.53987e13i 0.324547 + 0.562132i 0.981421 0.191869i \(-0.0614549\pi\)
−0.656874 + 0.754001i \(0.728122\pi\)
\(488\) −3.07720e12 5.32987e12i −0.111188 0.192583i
\(489\) 2.08193e13 0.744596
\(490\) −1.09634e13 1.89893e13i −0.388121 0.672245i
\(491\) 5.30359e12 3.06203e12i 0.185850 0.107301i −0.404188 0.914676i \(-0.632446\pi\)
0.590038 + 0.807375i \(0.299113\pi\)
\(492\) 2.37017e13 + 1.36842e13i 0.822156 + 0.474672i
\(493\) −4.51496e13 2.60671e13i −1.55031 0.895073i
\(494\) −6.26653e13 −2.13006
\(495\) 2.94136e13i 0.989742i
\(496\) 8.73690e12 1.51328e13i 0.291038 0.504092i
\(497\) −1.99831e13 + 3.46117e13i −0.658992 + 1.14141i
\(498\) −3.03850e13 5.26283e13i −0.992001 1.71820i
\(499\) −3.65991e13 + 2.11305e13i −1.18295 + 0.682978i −0.956696 0.291090i \(-0.905982\pi\)
−0.226257 + 0.974068i \(0.572649\pi\)
\(500\) 1.00446e14i 3.21428i
\(501\) −1.79976e13 + 1.03909e13i −0.570197 + 0.329204i
\(502\) −2.31011e13 + 1.33375e13i −0.724628 + 0.418364i
\(503\) −2.04601e13 + 1.18126e13i −0.635430 + 0.366866i −0.782852 0.622208i \(-0.786236\pi\)
0.147422 + 0.989074i \(0.452903\pi\)
\(504\) 1.09369e13 1.89432e13i 0.336310 0.582506i
\(505\) 4.17402e11i 0.0127086i
\(506\) −5.63302e12 3.25223e12i −0.169820 0.0980457i
\(507\) 7.07346e13 4.08386e13i 2.11150 1.21908i
\(508\) −2.14555e13 −0.634192
\(509\) −8.25169e12 1.42923e13i −0.241521 0.418326i 0.719627 0.694361i \(-0.244313\pi\)
−0.961148 + 0.276035i \(0.910979\pi\)
\(510\) 2.13073e14 + 1.23018e14i 6.17559 + 3.56548i
\(511\) −1.62361e12 + 2.81217e12i −0.0465990 + 0.0807118i
\(512\) 3.41182e13i 0.969697i
\(513\) −1.76528e12 + 3.05756e12i −0.0496852 + 0.0860573i
\(514\) −1.36008e13 −0.379095
\(515\) 1.18098e14i 3.25991i
\(516\) −5.20230e13 + 4.93141e13i −1.42216 + 1.34810i
\(517\) −8.69554e12 −0.235420
\(518\) 7.60872e13i 2.04015i
\(519\) 7.13685e13 + 4.12046e13i 1.89526 + 1.09423i
\(520\) 6.23405e13 1.63966
\(521\) −4.14819e13 2.39496e13i −1.08061 0.623892i −0.149551 0.988754i \(-0.547783\pi\)
−0.931061 + 0.364862i \(0.881116\pi\)
\(522\) −3.25270e13 + 5.63384e13i −0.839250 + 1.45362i
\(523\) 4.74942e13 2.74208e13i 1.21376 0.700764i 0.250182 0.968199i \(-0.419509\pi\)
0.963576 + 0.267435i \(0.0861761\pi\)
\(524\) 3.03229e13i 0.767564i
\(525\) −7.48854e13 1.29705e14i −1.87759 3.25208i
\(526\) −4.29740e13 + 7.44332e13i −1.06728 + 1.84858i
\(527\) 8.16257e13 2.00805
\(528\) 1.32576e13 + 7.65428e12i 0.323069 + 0.186524i
\(529\) 1.93817e13 + 3.35701e13i 0.467858 + 0.810354i
\(530\) −3.79977e13 6.58139e13i −0.908610 1.57376i
\(531\) 2.64511e13 + 4.58147e13i 0.626573 + 1.08526i
\(532\) 5.53418e13 1.29866
\(533\) −1.70901e13 2.96008e13i −0.397290 0.688126i
\(534\) 3.34911e13 1.93361e13i 0.771299 0.445310i
\(535\) −5.03698e13 2.90810e13i −1.14921 0.663500i
\(536\) 1.06084e13 + 6.12477e12i 0.239787 + 0.138441i
\(537\) −4.24228e13 −0.950010
\(538\) 1.20161e13i 0.266596i
\(539\) 3.18656e12 5.51929e12i 0.0700453 0.121322i
\(540\) 6.65818e12 1.15323e13i 0.145006 0.251158i
\(541\) 3.00998e13 + 5.21345e13i 0.649498 + 1.12496i 0.983243 + 0.182300i \(0.0583543\pi\)
−0.333745 + 0.942663i \(0.608312\pi\)
\(542\) 8.24779e13 4.76187e13i 1.76336 1.01808i
\(543\) 4.54997e13i 0.963851i
\(544\) −9.78210e13 + 5.64770e13i −2.05323 + 1.18543i
\(545\) −8.18259e13 + 4.72422e13i −1.70180 + 0.982534i
\(546\) −1.72638e14 + 9.96727e13i −3.55774 + 2.05406i
\(547\) 4.42759e12 7.66882e12i 0.0904130 0.156600i −0.817272 0.576252i \(-0.804515\pi\)
0.907685 + 0.419652i \(0.137848\pi\)
\(548\) 6.45863e12i 0.130689i
\(549\) 1.88803e13 + 1.09005e13i 0.378571 + 0.218568i
\(550\) −7.76080e13 + 4.48070e13i −1.54203 + 0.890292i
\(551\) −4.34116e13 −0.854768
\(552\) −5.15671e12 8.93168e12i −0.100618 0.174276i
\(553\) −2.92892e12 1.69101e12i −0.0566347 0.0326980i
\(554\) 4.55275e13 7.88559e13i 0.872418 1.51107i
\(555\) 1.62229e14i 3.08080i
\(556\) 2.44659e13 4.23761e13i 0.460454 0.797530i
\(557\) 3.35304e13 0.625406 0.312703 0.949851i \(-0.398765\pi\)
0.312703 + 0.949851i \(0.398765\pi\)
\(558\) 1.01854e14i 1.88281i
\(559\) 8.70605e13 2.08511e13i 1.59501 0.382006i
\(560\) 5.80910e13 1.05480
\(561\) 7.15112e13i 1.28694i
\(562\) −1.21068e14 6.98987e13i −2.15948 1.24677i
\(563\) 4.14631e13 0.733026 0.366513 0.930413i \(-0.380552\pi\)
0.366513 + 0.930413i \(0.380552\pi\)
\(564\) −4.52708e13 2.61371e13i −0.793272 0.457996i
\(565\) −1.71785e13 + 2.97540e13i −0.298361 + 0.516776i
\(566\) 1.19521e14 6.90054e13i 2.05760 1.18796i
\(567\) 6.04181e13i 1.03098i
\(568\) 1.89584e13 + 3.28370e13i 0.320672 + 0.555420i
\(569\) −5.38636e13 + 9.32945e13i −0.903096 + 1.56421i −0.0796437 + 0.996823i \(0.525378\pi\)
−0.823453 + 0.567385i \(0.807955\pi\)
\(570\) 2.04871e14 3.40492
\(571\) 3.55266e13 + 2.05113e13i 0.585293 + 0.337919i 0.763234 0.646122i \(-0.223610\pi\)
−0.177941 + 0.984041i \(0.556944\pi\)
\(572\) 3.43490e13 + 5.94942e13i 0.560963 + 0.971616i
\(573\) −9.76156e12 1.69075e13i −0.158032 0.273720i
\(574\) 2.62048e13 + 4.53880e13i 0.420553 + 0.728419i
\(575\) −3.66899e13 −0.583723
\(576\) 5.28712e13 + 9.15755e13i 0.833886 + 1.44433i
\(577\) 3.04000e13 1.75514e13i 0.475329 0.274431i −0.243139 0.969991i \(-0.578177\pi\)
0.718468 + 0.695560i \(0.244844\pi\)
\(578\) −1.83354e14 1.05860e14i −2.84218 1.64093i
\(579\) 2.70270e13 + 1.56040e13i 0.415341 + 0.239797i
\(580\) 1.63737e14 2.49464
\(581\) 6.70253e13i 1.01241i
\(582\) −1.18061e14 + 2.04487e14i −1.76804 + 3.06233i
\(583\) 1.10441e13 1.91290e13i 0.163979 0.284021i
\(584\) 1.54036e12 + 2.66798e12i 0.0226755 + 0.0392751i
\(585\) −1.91246e14 + 1.10416e14i −2.79135 + 1.61159i
\(586\) 7.69189e13i 1.11313i
\(587\) −3.75558e13 + 2.16828e13i −0.538873 + 0.311118i −0.744622 0.667486i \(-0.767370\pi\)
0.205749 + 0.978605i \(0.434037\pi\)
\(588\) 3.31798e13 1.91564e13i 0.472049 0.272538i
\(589\) 5.88627e13 3.39844e13i 0.830355 0.479406i
\(590\) 1.15592e14 2.00212e14i 1.61685 2.80046i
\(591\) 1.20700e14i 1.67406i
\(592\) 3.79914e13 + 2.19343e13i 0.522488 + 0.301659i
\(593\) −1.07908e13 + 6.23005e12i −0.147156 + 0.0849606i −0.571770 0.820414i \(-0.693743\pi\)
0.424614 + 0.905374i \(0.360410\pi\)
\(594\) 6.72004e12 0.0908740
\(595\) 1.35681e14 + 2.35006e14i 1.81942 + 3.15133i
\(596\) −6.74792e13 3.89592e13i −0.897303 0.518058i
\(597\) 4.08310e13 7.07214e13i 0.538416 0.932565i
\(598\) 4.88344e13i 0.638586i
\(599\) −2.30690e13 + 3.99567e13i −0.299154 + 0.518149i −0.975943 0.218028i \(-0.930038\pi\)
0.676789 + 0.736177i \(0.263371\pi\)
\(600\) −1.42091e14 −1.82731
\(601\) 3.94887e13i 0.503617i −0.967777 0.251809i \(-0.918975\pi\)
0.967777 0.251809i \(-0.0810254\pi\)
\(602\) −1.33493e14 + 3.19717e13i −1.68840 + 0.404374i
\(603\) −4.33922e13 −0.544284
\(604\) 5.00382e13i 0.622468i
\(605\) 9.52049e13 + 5.49666e13i 1.17458 + 0.678144i
\(606\) 1.26629e12 0.0154942
\(607\) −6.95184e13 4.01365e13i −0.843638 0.487075i 0.0148609 0.999890i \(-0.495269\pi\)
−0.858499 + 0.512815i \(0.828603\pi\)
\(608\) −4.70278e13 + 8.14545e13i −0.566026 + 0.980386i
\(609\) −1.19596e14 + 6.90486e13i −1.42767 + 0.824268i
\(610\) 9.52714e13i 1.12801i
\(611\) 3.26424e13 + 5.65382e13i 0.383332 + 0.663951i
\(612\) −1.11679e14 + 1.93434e14i −1.30082 + 2.25308i
\(613\) −8.92083e13 −1.03063 −0.515315 0.857001i \(-0.672325\pi\)
−0.515315 + 0.857001i \(0.672325\pi\)
\(614\) −1.51702e14 8.75851e13i −1.73840 1.00366i
\(615\) 5.58724e13 + 9.67739e13i 0.635070 + 1.09997i
\(616\) −1.38916e13 2.40610e13i −0.156621 0.271275i
\(617\) −1.50516e13 2.60702e13i −0.168329 0.291554i 0.769504 0.638642i \(-0.220504\pi\)
−0.937832 + 0.347089i \(0.887170\pi\)
\(618\) 3.58277e14 3.97445
\(619\) −7.30482e13 1.26523e14i −0.803815 1.39225i −0.917088 0.398684i \(-0.869467\pi\)
0.113273 0.993564i \(-0.463866\pi\)
\(620\) −2.22015e14 + 1.28180e14i −2.42339 + 1.39915i
\(621\) 2.38272e12 + 1.37566e12i 0.0257997 + 0.0148955i
\(622\) 2.18424e13 + 1.26107e13i 0.234612 + 0.135453i
\(623\) 4.26529e13 0.454473
\(624\) 1.14934e14i 1.21486i
\(625\) −9.52799e13 + 1.65030e14i −0.999082 + 1.73046i
\(626\) −7.46801e13 + 1.29350e14i −0.776843 + 1.34553i
\(627\) 2.97733e13 + 5.15689e13i 0.307248 + 0.532169i
\(628\) −1.71986e14 + 9.92963e13i −1.76074 + 1.01656i
\(629\) 2.04924e14i 2.08133i
\(630\) 2.93245e14 1.69305e14i 2.95479 1.70595i
\(631\) −2.41973e13 + 1.39703e13i −0.241891 + 0.139656i −0.616046 0.787711i \(-0.711266\pi\)
0.374155 + 0.927366i \(0.377933\pi\)
\(632\) −2.77874e12 + 1.60431e12i −0.0275590 + 0.0159112i
\(633\) −2.62117e13 + 4.54000e13i −0.257915 + 0.446722i
\(634\) 1.38705e14i 1.35409i
\(635\) −7.58662e13 4.38014e13i −0.734818 0.424247i
\(636\) 1.14996e14 6.63930e13i 1.10509 0.638024i
\(637\) −4.78484e13 −0.456216
\(638\) 4.13146e13 + 7.15591e13i 0.390841 + 0.676957i
\(639\) −1.16320e14 6.71576e13i −1.09182 0.630363i
\(640\) 1.00456e14 1.73995e14i 0.935571 1.62046i
\(641\) 4.93145e13i 0.455706i 0.973696 + 0.227853i \(0.0731705\pi\)
−0.973696 + 0.227853i \(0.926829\pi\)
\(642\) 8.82239e13 1.52808e14i 0.808930 1.40111i
\(643\) −8.61585e13 −0.783869 −0.391934 0.919993i \(-0.628194\pi\)
−0.391934 + 0.919993i \(0.628194\pi\)
\(644\) 4.31272e13i 0.389334i
\(645\) −2.84626e14 + 6.81684e13i −2.54963 + 0.610639i
\(646\) −2.58789e14 −2.30030
\(647\) 5.40149e13i 0.476422i 0.971213 + 0.238211i \(0.0765610\pi\)
−0.971213 + 0.238211i \(0.923439\pi\)
\(648\) −4.96407e13 2.86601e13i −0.434473 0.250843i
\(649\) 6.71946e13 0.583594
\(650\) 5.82668e14 + 3.36404e14i 5.02174 + 2.89930i
\(651\) 1.08108e14 1.87249e14i 0.924600 1.60145i
\(652\) 7.15295e13 4.12976e13i 0.607082 0.350499i
\(653\) 1.96151e14i 1.65205i −0.563631 0.826027i \(-0.690596\pi\)
0.563631 0.826027i \(-0.309404\pi\)
\(654\) −1.43320e14 2.48238e14i −1.19789 2.07481i
\(655\) 6.19041e13 1.07221e14i 0.513467 0.889351i
\(656\) −3.02171e13 −0.248733
\(657\) −9.45092e12 5.45649e12i −0.0772054 0.0445745i
\(658\) −5.00516e13 8.66920e13i −0.405778 0.702829i
\(659\) 3.42883e13 + 5.93890e13i 0.275879 + 0.477836i 0.970357 0.241678i \(-0.0776978\pi\)
−0.694478 + 0.719514i \(0.744364\pi\)
\(660\) −1.12297e14 1.94504e14i −0.896703 1.55314i
\(661\) −7.81938e13 −0.619677 −0.309838 0.950789i \(-0.600275\pi\)
−0.309838 + 0.950789i \(0.600275\pi\)
\(662\) −7.69349e13 1.33255e14i −0.605109 1.04808i
\(663\) 4.64964e14 2.68447e14i 3.62954 2.09552i
\(664\) −5.50694e13 3.17943e13i −0.426648 0.246325i
\(665\) 1.95687e14 + 1.12980e14i 1.50471 + 0.868747i
\(666\) 2.55708e14 1.95152
\(667\) 3.38302e13i 0.256257i
\(668\) −4.12233e13 + 7.14008e13i −0.309928 + 0.536810i
\(669\) 1.02958e13 1.78329e13i 0.0768298 0.133073i
\(670\) 9.48127e13 + 1.64220e14i 0.702251 + 1.21633i
\(671\) 2.39811e13 1.38455e13i 0.176302 0.101788i
\(672\) 2.99201e14i 2.18332i
\(673\) 5.67946e13 3.27904e13i 0.411369 0.237504i −0.280009 0.959997i \(-0.590337\pi\)
0.691378 + 0.722494i \(0.257004\pi\)
\(674\) 7.90793e13 4.56565e13i 0.568543 0.328249i
\(675\) 3.28275e13 1.89530e13i 0.234271 0.135257i
\(676\) 1.62017e14 2.80622e14i 1.14770 1.98787i
\(677\) 2.96106e13i 0.208211i 0.994566 + 0.104105i \(0.0331979\pi\)
−0.994566 + 0.104105i \(0.966802\pi\)
\(678\) −9.02655e13 5.21148e13i −0.630047 0.363758i
\(679\) −2.25537e14 + 1.30214e14i −1.56267 + 0.902210i
\(680\) 2.57448e14 1.77070
\(681\) −1.57882e14 2.73460e14i −1.07795 1.86706i
\(682\) −1.12039e14 6.46856e13i −0.759358 0.438415i
\(683\) 7.17327e13 1.24245e14i 0.482630 0.835939i −0.517172 0.855882i \(-0.673015\pi\)
0.999801 + 0.0199429i \(0.00634844\pi\)
\(684\) 1.85989e14i 1.24224i
\(685\) −1.31853e13 + 2.28376e13i −0.0874251 + 0.151425i
\(686\) −1.90392e14 −1.25322
\(687\) 3.40495e14i 2.22498i
\(688\) 2.25192e13 7.58716e13i 0.146087 0.492195i
\(689\) −1.65835e14 −1.06802
\(690\) 1.59654e14i 1.02078i
\(691\) −5.78603e12 3.34056e12i −0.0367274 0.0212046i 0.481524 0.876433i \(-0.340083\pi\)
−0.518251 + 0.855228i \(0.673417\pi\)
\(692\) 3.26938e14 2.06032
\(693\) 8.52325e13 + 4.92090e13i 0.533260 + 0.307878i
\(694\) −5.75559e13 + 9.96897e13i −0.357514 + 0.619232i
\(695\) 1.73021e14 9.98939e13i 1.06703 0.616048i
\(696\) 1.31016e14i 0.802194i
\(697\) −7.05769e13 1.22243e14i −0.429041 0.743120i
\(698\) −1.55064e14 + 2.68579e14i −0.935910 + 1.62104i
\(699\) −3.90825e14 −2.34205
\(700\) −5.14573e14 2.97089e14i −3.06166 1.76765i
\(701\) −1.06799e14 1.84981e14i −0.630923 1.09279i −0.987363 0.158473i \(-0.949343\pi\)
0.356440 0.934318i \(-0.383990\pi\)
\(702\) −2.52265e13 4.36935e13i −0.147969 0.256290i
\(703\) 8.53192e13 + 1.47777e14i 0.496901 + 0.860658i
\(704\) 1.34310e14 0.776686
\(705\) −1.06717e14 1.84840e14i −0.612759 1.06133i
\(706\) 1.35227e14 7.80736e13i 0.770976 0.445123i
\(707\) 1.20952e12 + 6.98316e11i 0.00684724 + 0.00395325i
\(708\) 3.49829e14 + 2.01974e14i 1.96648 + 1.13535i
\(709\) 1.60369e14 0.895136 0.447568 0.894250i \(-0.352290\pi\)
0.447568 + 0.894250i \(0.352290\pi\)
\(710\) 5.86961e14i 3.25325i
\(711\) 5.68303e12 9.84330e12i 0.0312775 0.0541742i
\(712\) 2.02329e13 3.50445e13i 0.110576 0.191522i
\(713\) −2.64837e13 4.58711e13i −0.143724 0.248938i
\(714\) −7.12945e14 + 4.11619e14i −3.84207 + 2.21822i
\(715\) 2.80493e14i 1.50104i
\(716\) −1.45754e14 + 8.41509e13i −0.774559 + 0.447192i
\(717\) 1.52309e14 8.79355e13i 0.803765 0.464054i
\(718\) 4.29670e14 2.48070e14i 2.25171 1.30003i
\(719\) −1.03824e14 + 1.79829e14i −0.540324 + 0.935868i 0.458561 + 0.888663i \(0.348365\pi\)
−0.998885 + 0.0472055i \(0.984968\pi\)
\(720\) 1.95228e14i 1.00897i
\(721\) 3.42216e14 + 1.97578e14i 1.75640 + 1.01406i
\(722\) 7.43014e13 4.28980e13i 0.378714 0.218651i
\(723\) −2.31765e14 −1.17316
\(724\) −9.02544e13 1.56325e14i −0.453707 0.785843i
\(725\) 4.03645e14 + 2.33045e14i 2.01516 + 1.16345i
\(726\) −1.66754e14 + 2.88826e14i −0.826785 + 1.43203i
\(727\) 2.67205e14i 1.31575i −0.753129 0.657873i \(-0.771457\pi\)
0.753129 0.657873i \(-0.228543\pi\)
\(728\) −1.04296e14 + 1.80646e14i −0.510047 + 0.883427i
\(729\) 2.37951e14 1.15571
\(730\) 4.76901e13i 0.230046i
\(731\) 3.59534e14 8.61089e13i 1.72248 0.412535i
\(732\) 1.66467e14 0.792088
\(733\) 2.71414e14i 1.28266i 0.767264 + 0.641332i \(0.221618\pi\)
−0.767264 + 0.641332i \(0.778382\pi\)
\(734\) 7.58828e13 + 4.38110e13i 0.356175 + 0.205638i
\(735\) 1.56430e14 0.729264
\(736\) 6.34765e13 + 3.66482e13i 0.293917 + 0.169693i
\(737\) −2.75576e13 + 4.77312e13i −0.126737 + 0.219515i
\(738\) −1.52537e14 + 8.80670e13i −0.696774 + 0.402283i
\(739\) 1.12120e14i 0.508699i 0.967112 + 0.254349i \(0.0818613\pi\)
−0.967112 + 0.254349i \(0.918139\pi\)
\(740\) −3.21802e14 5.57377e14i −1.45021 2.51183i
\(741\) 2.23533e14 3.87170e14i 1.00058 1.73305i
\(742\) 2.54281e14 1.13056
\(743\) 1.94749e14 + 1.12438e14i 0.860065 + 0.496559i 0.864034 0.503433i \(-0.167930\pi\)
−0.00396893 + 0.999992i \(0.501263\pi\)
\(744\) −1.02565e14 1.77648e14i −0.449919 0.779283i
\(745\) −1.59070e14 2.75517e14i −0.693117 1.20051i
\(746\) 3.31252e14 + 5.73746e14i 1.43372 + 2.48328i
\(747\) 2.25254e14 0.968431
\(748\) 1.41851e14 + 2.45694e14i 0.605794 + 1.04927i
\(749\) 1.68538e14 9.73053e13i 0.714970 0.412788i
\(750\) −1.07751e15 6.22098e14i −4.54060 2.62152i
\(751\) −8.04386e13 4.64412e13i −0.336717 0.194404i 0.322102 0.946705i \(-0.395610\pi\)
−0.658819 + 0.752301i \(0.728944\pi\)
\(752\) 5.77153e13 0.239995
\(753\) 1.90304e14i 0.786090i
\(754\) 3.10183e14 5.37253e14i 1.27281 2.20456i
\(755\) 1.02153e14 1.76934e14i 0.416405 0.721234i
\(756\) 2.22783e13 + 3.85872e13i 0.0902139 + 0.156255i
\(757\) −3.91784e14 + 2.26196e14i −1.57604 + 0.909927i −0.580635 + 0.814164i \(0.697196\pi\)
−0.995404 + 0.0957623i \(0.969471\pi\)
\(758\) 8.81276e13i 0.352181i
\(759\) 4.01870e13 2.32020e13i 0.159543 0.0921120i
\(760\) 1.85653e14 1.07187e14i 0.732208 0.422741i
\(761\) −7.42669e13 + 4.28780e13i −0.290986 + 0.168001i −0.638386 0.769716i \(-0.720398\pi\)
0.347400 + 0.937717i \(0.387064\pi\)
\(762\) 1.32882e14