Properties

Label 43.7.f.a.2.9
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.9
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.12993 - 2.34633i) q^{2} +(12.1637 - 25.2581i) q^{3} +(35.6748 - 44.7348i) q^{4} +(-135.516 - 30.9307i) q^{5} -73.0081 q^{6} -261.823i q^{7} +(-307.765 - 70.2454i) q^{8} +(-35.4943 - 44.5085i) q^{9} +O(q^{10})\) \(q+(-1.12993 - 2.34633i) q^{2} +(12.1637 - 25.2581i) q^{3} +(35.6748 - 44.7348i) q^{4} +(-135.516 - 30.9307i) q^{5} -73.0081 q^{6} -261.823i q^{7} +(-307.765 - 70.2454i) q^{8} +(-35.4943 - 44.5085i) q^{9} +(80.5506 + 352.915i) q^{10} +(582.215 + 730.075i) q^{11} +(-695.981 - 1445.22i) q^{12} +(-361.705 + 1584.73i) q^{13} +(-614.323 + 295.842i) q^{14} +(-2429.62 + 3046.65i) q^{15} +(-631.925 - 2768.65i) q^{16} +(-322.665 - 1413.69i) q^{17} +(-64.3255 + 133.573i) q^{18} +(-10177.4 - 8116.18i) q^{19} +(-6218.19 + 4958.84i) q^{20} +(-6613.15 - 3184.73i) q^{21} +(1055.13 - 2191.01i) q^{22} +(4291.92 + 5381.90i) q^{23} +(-5517.82 + 6919.13i) q^{24} +(3330.25 + 1603.77i) q^{25} +(4127.01 - 941.963i) q^{26} +(18368.7 - 4192.55i) q^{27} +(-11712.6 - 9340.48i) q^{28} +(1702.21 + 3534.67i) q^{29} +(9893.78 + 2258.19i) q^{30} +(16673.2 - 8029.41i) q^{31} +(-21577.9 + 17207.8i) q^{32} +(25522.2 - 5825.28i) q^{33} +(-2952.40 + 2354.46i) q^{34} +(-8098.35 + 35481.2i) q^{35} -3257.33 q^{36} -89903.8i q^{37} +(-7543.50 + 33050.2i) q^{38} +(35627.7 + 28412.2i) q^{39} +(39534.4 + 19038.7i) q^{40} +(112447. - 54151.4i) q^{41} +19115.2i q^{42} +(-64029.3 + 47134.0i) q^{43} +53430.2 q^{44} +(3433.38 + 7129.48i) q^{45} +(7778.14 - 16151.5i) q^{46} +(30487.4 - 38230.0i) q^{47} +(-77617.4 - 17715.7i) q^{48} +49097.9 q^{49} -9626.04i q^{50} +(-39632.0 - 9045.74i) q^{51} +(57988.9 + 72715.8i) q^{52} +(-8580.27 - 37592.6i) q^{53} +(-30592.6 - 38361.9i) q^{54} +(-56317.8 - 116945. i) q^{55} +(-18391.8 + 80579.9i) q^{56} +(-328794. + 158339. i) q^{57} +(6370.12 - 7987.88i) q^{58} +(20969.8 + 91874.5i) q^{59} +(49615.0 + 217378. i) q^{60} +(80054.0 - 166234. i) q^{61} +(-37679.3 - 30048.3i) q^{62} +(-11653.3 + 9293.23i) q^{63} +(-98994.5 - 47673.2i) q^{64} +(98033.6 - 203569. i) q^{65} +(-42506.5 - 53301.4i) q^{66} +(-128313. + 160899. i) q^{67} +(-74752.2 - 35998.7i) q^{68} +(188142. - 42942.3i) q^{69} +(92401.3 - 21090.0i) q^{70} +(-286987. - 228864. i) q^{71} +(7797.40 + 16191.5i) q^{72} +(79248.1 + 18087.9i) q^{73} +(-210944. + 101585. i) q^{74} +(81016.3 - 64608.3i) q^{75} +(-726152. + 165739. i) q^{76} +(191150. - 152437. i) q^{77} +(26407.4 - 115698. i) q^{78} +199507. q^{79} +394742. i q^{80} +(126770. - 555417. i) q^{81} +(-254114. - 202649. i) q^{82} +(137992. + 66453.5i) q^{83} +(-378391. + 182224. i) q^{84} +201558. i q^{85} +(182941. + 96975.8i) q^{86} +109984. q^{87} +(-127901. - 265589. i) q^{88} +(21904.5 - 45485.2i) q^{89} +(12848.6 - 16111.7i) q^{90} +(414919. + 94702.5i) q^{91} +393872. q^{92} -518802. i q^{93} +(-124149. - 28336.2i) q^{94} +(1.12816e6 + 1.41467e6i) q^{95} +(172170. + 754327. i) q^{96} +(898195. + 1.12630e6i) q^{97} +(-55477.3 - 115200. i) q^{98} +(11829.2 - 51827.1i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.12993 2.34633i −0.141242 0.293292i 0.818333 0.574744i \(-0.194898\pi\)
−0.959575 + 0.281452i \(0.909184\pi\)
\(3\) 12.1637 25.2581i 0.450507 0.935487i −0.544786 0.838575i \(-0.683389\pi\)
0.995293 0.0969117i \(-0.0308964\pi\)
\(4\) 35.6748 44.7348i 0.557419 0.698981i
\(5\) −135.516 30.9307i −1.08413 0.247445i −0.357109 0.934063i \(-0.616238\pi\)
−0.727019 + 0.686617i \(0.759095\pi\)
\(6\) −73.0081 −0.338001
\(7\) 261.823i 0.763332i −0.924300 0.381666i \(-0.875351\pi\)
0.924300 0.381666i \(-0.124649\pi\)
\(8\) −307.765 70.2454i −0.601104 0.137198i
\(9\) −35.4943 44.5085i −0.0486891 0.0610542i
\(10\) 80.5506 + 352.915i 0.0805506 + 0.352915i
\(11\) 582.215 + 730.075i 0.437427 + 0.548516i 0.950863 0.309612i \(-0.100199\pi\)
−0.513436 + 0.858128i \(0.671628\pi\)
\(12\) −695.981 1445.22i −0.402767 0.836354i
\(13\) −361.705 + 1584.73i −0.164636 + 0.721316i 0.823447 + 0.567393i \(0.192048\pi\)
−0.988083 + 0.153923i \(0.950809\pi\)
\(14\) −614.323 + 295.842i −0.223879 + 0.107814i
\(15\) −2429.62 + 3046.65i −0.719889 + 0.902712i
\(16\) −631.925 2768.65i −0.154279 0.675939i
\(17\) −322.665 1413.69i −0.0656758 0.287745i 0.931416 0.363957i \(-0.118574\pi\)
−0.997092 + 0.0762123i \(0.975717\pi\)
\(18\) −64.3255 + 133.573i −0.0110297 + 0.0229035i
\(19\) −10177.4 8116.18i −1.48380 1.18329i −0.938612 0.344974i \(-0.887888\pi\)
−0.545186 0.838315i \(-0.683541\pi\)
\(20\) −6218.19 + 4958.84i −0.777273 + 0.619855i
\(21\) −6613.15 3184.73i −0.714086 0.343886i
\(22\) 1055.13 2191.01i 0.0990922 0.205767i
\(23\) 4291.92 + 5381.90i 0.352751 + 0.442336i 0.926272 0.376855i \(-0.122994\pi\)
−0.573521 + 0.819191i \(0.694423\pi\)
\(24\) −5517.82 + 6919.13i −0.399148 + 0.500516i
\(25\) 3330.25 + 1603.77i 0.213136 + 0.102641i
\(26\) 4127.01 941.963i 0.234809 0.0535937i
\(27\) 18368.7 4192.55i 0.933229 0.213003i
\(28\) −11712.6 9340.48i −0.533555 0.425496i
\(29\) 1702.21 + 3534.67i 0.0697940 + 0.144929i 0.932947 0.360014i \(-0.117228\pi\)
−0.863153 + 0.504942i \(0.831514\pi\)
\(30\) 9893.78 + 2258.19i 0.366436 + 0.0836367i
\(31\) 16673.2 8029.41i 0.559674 0.269525i −0.132588 0.991171i \(-0.542329\pi\)
0.692262 + 0.721647i \(0.256614\pi\)
\(32\) −21577.9 + 17207.8i −0.658504 + 0.525140i
\(33\) 25522.2 5825.28i 0.710193 0.162097i
\(34\) −2952.40 + 2354.46i −0.0751169 + 0.0599037i
\(35\) −8098.35 + 35481.2i −0.188883 + 0.827549i
\(36\) −3257.33 −0.0698160
\(37\) 89903.8i 1.77490i −0.460908 0.887448i \(-0.652476\pi\)
0.460908 0.887448i \(-0.347524\pi\)
\(38\) −7543.50 + 33050.2i −0.137475 + 0.602315i
\(39\) 35627.7 + 28412.2i 0.600612 + 0.478972i
\(40\) 39534.4 + 19038.7i 0.617725 + 0.297480i
\(41\) 112447. 54151.4i 1.63153 0.785702i 0.631582 0.775309i \(-0.282406\pi\)
0.999946 0.0103934i \(-0.00330838\pi\)
\(42\) 19115.2i 0.258007i
\(43\) −64029.3 + 47134.0i −0.805329 + 0.592828i
\(44\) 53430.2 0.627233
\(45\) 3433.38 + 7129.48i 0.0376777 + 0.0782385i
\(46\) 7778.14 16151.5i 0.0799102 0.165935i
\(47\) 30487.4 38230.0i 0.293648 0.368222i −0.613021 0.790067i \(-0.710046\pi\)
0.906668 + 0.421844i \(0.138617\pi\)
\(48\) −77617.4 17715.7i −0.701835 0.160189i
\(49\) 49097.9 0.417325
\(50\) 9626.04i 0.0770083i
\(51\) −39632.0 9045.74i −0.298769 0.0681920i
\(52\) 57988.9 + 72715.8i 0.412416 + 0.517153i
\(53\) −8580.27 37592.6i −0.0576333 0.252508i 0.937902 0.346901i \(-0.112766\pi\)
−0.995535 + 0.0943932i \(0.969909\pi\)
\(54\) −30592.6 38361.9i −0.194283 0.243623i
\(55\) −56317.8 116945.i −0.338499 0.702901i
\(56\) −18391.8 + 80579.9i −0.104728 + 0.458841i
\(57\) −328794. + 158339.i −1.77541 + 0.854993i
\(58\) 6370.12 7987.88i 0.0326485 0.0409400i
\(59\) 20969.8 + 91874.5i 0.102103 + 0.447341i 0.999975 + 0.00708498i \(0.00225524\pi\)
−0.897872 + 0.440256i \(0.854888\pi\)
\(60\) 49615.0 + 217378.i 0.229699 + 1.00638i
\(61\) 80054.0 166234.i 0.352690 0.732369i −0.646852 0.762616i \(-0.723915\pi\)
0.999542 + 0.0302463i \(0.00962917\pi\)
\(62\) −37679.3 30048.3i −0.158099 0.126079i
\(63\) −11653.3 + 9293.23i −0.0466046 + 0.0371659i
\(64\) −98994.5 47673.2i −0.377634 0.181859i
\(65\) 98033.6 203569.i 0.356973 0.741261i
\(66\) −42506.5 53301.4i −0.147851 0.185399i
\(67\) −128313. + 160899.i −0.426625 + 0.534971i −0.947963 0.318379i \(-0.896862\pi\)
0.521338 + 0.853350i \(0.325433\pi\)
\(68\) −74752.2 35998.7i −0.237737 0.114488i
\(69\) 188142. 42942.3i 0.572716 0.130719i
\(70\) 92401.3 21090.0i 0.269391 0.0614868i
\(71\) −286987. 228864.i −0.801838 0.639444i 0.134354 0.990933i \(-0.457104\pi\)
−0.936192 + 0.351489i \(0.885675\pi\)
\(72\) 7797.40 + 16191.5i 0.0208907 + 0.0433799i
\(73\) 79248.1 + 18087.9i 0.203714 + 0.0464963i 0.323160 0.946344i \(-0.395255\pi\)
−0.119446 + 0.992841i \(0.538112\pi\)
\(74\) −210944. + 101585.i −0.520562 + 0.250689i
\(75\) 81016.3 64608.3i 0.192039 0.153146i
\(76\) −726152. + 165739.i −1.65419 + 0.377559i
\(77\) 191150. 152437.i 0.418700 0.333902i
\(78\) 26407.4 115698.i 0.0556470 0.243805i
\(79\) 199507. 0.404647 0.202323 0.979319i \(-0.435151\pi\)
0.202323 + 0.979319i \(0.435151\pi\)
\(80\) 394742.i 0.770980i
\(81\) 126770. 555417.i 0.238541 1.04512i
\(82\) −254114. 202649.i −0.460880 0.367539i
\(83\) 137992. + 66453.5i 0.241335 + 0.116221i 0.550642 0.834741i \(-0.314383\pi\)
−0.309307 + 0.950962i \(0.600097\pi\)
\(84\) −378391. + 182224.i −0.638415 + 0.307445i
\(85\) 201558.i 0.328203i
\(86\) 182941. + 96975.8i 0.287618 + 0.152464i
\(87\) 109984. 0.167021
\(88\) −127901. 265589.i −0.187684 0.389729i
\(89\) 21904.5 45485.2i 0.0310716 0.0645208i −0.884855 0.465866i \(-0.845743\pi\)
0.915927 + 0.401345i \(0.131457\pi\)
\(90\) 12848.6 16111.7i 0.0176250 0.0221011i
\(91\) 414919. + 94702.5i 0.550604 + 0.125672i
\(92\) 393872. 0.505815
\(93\) 518802.i 0.644990i
\(94\) −124149. 28336.2i −0.149472 0.0341160i
\(95\) 1.12816e6 + 1.41467e6i 1.31583 + 1.65000i
\(96\) 172170. + 754327.i 0.194601 + 0.852601i
\(97\) 898195. + 1.12630e6i 0.984136 + 1.23407i 0.972203 + 0.234139i \(0.0752271\pi\)
0.0119331 + 0.999929i \(0.496201\pi\)
\(98\) −55477.3 115200.i −0.0589437 0.122398i
\(99\) 11829.2 51827.1i 0.0121913 0.0534135i
\(100\) 190550. 91764.2i 0.190550 0.0917642i
\(101\) 444296. 557130.i 0.431229 0.540745i −0.517979 0.855394i \(-0.673315\pi\)
0.949208 + 0.314649i \(0.101887\pi\)
\(102\) 23557.2 + 103211.i 0.0221985 + 0.0972579i
\(103\) −124697. 546334.i −0.114116 0.499973i −0.999391 0.0349051i \(-0.988887\pi\)
0.885275 0.465068i \(-0.153970\pi\)
\(104\) 222640. 462317.i 0.197926 0.410998i
\(105\) 797683. + 636131.i 0.689068 + 0.549514i
\(106\) −78509.6 + 62609.3i −0.0659182 + 0.0525680i
\(107\) 247951. + 119407.i 0.202402 + 0.0974717i 0.532339 0.846531i \(-0.321313\pi\)
−0.329937 + 0.944003i \(0.607027\pi\)
\(108\) 467749. 971291.i 0.371314 0.771042i
\(109\) −376345. 471922.i −0.290607 0.364410i 0.615000 0.788527i \(-0.289156\pi\)
−0.905607 + 0.424117i \(0.860585\pi\)
\(110\) −210757. + 264281.i −0.158345 + 0.198558i
\(111\) −2.27080e6 1.09356e6i −1.66039 0.799602i
\(112\) −724894. + 165452.i −0.515965 + 0.117766i
\(113\) −730684. + 166774.i −0.506401 + 0.115583i −0.468086 0.883683i \(-0.655056\pi\)
−0.0383149 + 0.999266i \(0.512199\pi\)
\(114\) 743031. + 592547.i 0.501525 + 0.399953i
\(115\) −415159. 862086.i −0.272974 0.566836i
\(116\) 218848. + 49950.7i 0.140207 + 0.0320013i
\(117\) 83372.5 40150.1i 0.0520553 0.0250685i
\(118\) 191874. 153014.i 0.116780 0.0931291i
\(119\) −370136. + 84481.1i −0.219645 + 0.0501325i
\(120\) 961767. 766983.i 0.556578 0.443856i
\(121\) 200175. 877023.i 0.112993 0.495057i
\(122\) −480496. −0.264612
\(123\) 3.49887e6i 1.88024i
\(124\) 235621. 1.03232e6i 0.123580 0.541440i
\(125\) 1.29636e6 + 1.03381e6i 0.663734 + 0.529311i
\(126\) 34972.5 + 16841.9i 0.0174830 + 0.00841935i
\(127\) −2.91538e6 + 1.40397e6i −1.42326 + 0.685406i −0.977731 0.209862i \(-0.932699\pi\)
−0.445529 + 0.895268i \(0.646984\pi\)
\(128\) 2.05249e6i 0.978702i
\(129\) 411684. + 2.19058e6i 0.191776 + 1.02045i
\(130\) −588412. −0.267825
\(131\) 1.73303e6 + 3.59867e6i 0.770890 + 1.60077i 0.799123 + 0.601168i \(0.205298\pi\)
−0.0282333 + 0.999601i \(0.508988\pi\)
\(132\) 649908. 1.34955e6i 0.282572 0.586768i
\(133\) −2.12500e6 + 2.66467e6i −0.903242 + 1.13263i
\(134\) 522509. + 119259.i 0.217160 + 0.0495653i
\(135\) −2.61894e6 −1.06445
\(136\) 457750.i 0.181975i
\(137\) −975734. 222705.i −0.379463 0.0866100i 0.0285349 0.999593i \(-0.490916\pi\)
−0.407998 + 0.912983i \(0.633773\pi\)
\(138\) −313345. 392923.i −0.119230 0.149510i
\(139\) −775293. 3.39678e6i −0.288683 1.26480i −0.886334 0.463047i \(-0.846756\pi\)
0.597650 0.801757i \(-0.296101\pi\)
\(140\) 1.29834e6 + 1.62806e6i 0.473155 + 0.593317i
\(141\) −594779. 1.23507e6i −0.212177 0.440590i
\(142\) −212715. + 931967.i −0.0742906 + 0.325489i
\(143\) −1.36756e6 + 658584.i −0.467670 + 0.225218i
\(144\) −100798. + 126397.i −0.0337572 + 0.0423302i
\(145\) −121347. 531654.i −0.0398037 0.174391i
\(146\) −47105.0 206381.i −0.0151359 0.0663148i
\(147\) 597210. 1.24012e6i 0.188008 0.390402i
\(148\) −4.02183e6 3.20730e6i −1.24062 0.989361i
\(149\) −2.89753e6 + 2.31070e6i −0.875929 + 0.698530i −0.954446 0.298383i \(-0.903553\pi\)
0.0785172 + 0.996913i \(0.474981\pi\)
\(150\) −243136. 117088.i −0.0720402 0.0346927i
\(151\) 1.53302e6 3.18335e6i 0.445263 0.924599i −0.550688 0.834711i \(-0.685635\pi\)
0.995952 0.0898882i \(-0.0286510\pi\)
\(152\) 2.56211e6 + 3.21279e6i 0.729571 + 0.914854i
\(153\) −51468.4 + 64539.3i −0.0143703 + 0.0180198i
\(154\) −573656. 276258.i −0.157068 0.0756402i
\(155\) −2.50785e6 + 572400.i −0.673451 + 0.153711i
\(156\) 2.54202e6 580201.i 0.669585 0.152829i
\(157\) 1.38020e6 + 1.10067e6i 0.356651 + 0.284419i 0.785380 0.619013i \(-0.212467\pi\)
−0.428730 + 0.903433i \(0.641039\pi\)
\(158\) −225429. 468109.i −0.0571530 0.118679i
\(159\) −1.05389e6 240543.i −0.262182 0.0598413i
\(160\) 3.45640e6 1.66451e6i 0.843846 0.406375i
\(161\) 1.40910e6 1.12372e6i 0.337649 0.269266i
\(162\) −1.44644e6 + 330140.i −0.340216 + 0.0776520i
\(163\) 4.45897e6 3.55591e6i 1.02961 0.821085i 0.0455548 0.998962i \(-0.485494\pi\)
0.984053 + 0.177877i \(0.0569230\pi\)
\(164\) 1.58906e6 6.96212e6i 0.360253 1.57837i
\(165\) −3.63885e6 −0.810051
\(166\) 398863.i 0.0871967i
\(167\) −795251. + 3.48422e6i −0.170748 + 0.748095i 0.814944 + 0.579539i \(0.196767\pi\)
−0.985692 + 0.168556i \(0.946090\pi\)
\(168\) 1.81159e6 + 1.44469e6i 0.382060 + 0.304682i
\(169\) 1.96826e6 + 947864.i 0.407777 + 0.196375i
\(170\) 472922. 227747.i 0.0962593 0.0463560i
\(171\) 741058.i 0.148205i
\(172\) −175705. + 4.54583e6i −0.0345302 + 0.893364i
\(173\) 6.47551e6 1.25065 0.625325 0.780364i \(-0.284966\pi\)
0.625325 + 0.780364i \(0.284966\pi\)
\(174\) −124275. 258059.i −0.0235904 0.0489860i
\(175\) 419902. 871936.i 0.0783491 0.162694i
\(176\) 1.65340e6 2.07330e6i 0.303278 0.380298i
\(177\) 2.57565e6 + 587875.i 0.464480 + 0.106014i
\(178\) −131474. −0.0233120
\(179\) 8.54832e6i 1.49046i 0.666805 + 0.745232i \(0.267662\pi\)
−0.666805 + 0.745232i \(0.732338\pi\)
\(180\) 441421. + 100751.i 0.0756895 + 0.0172756i
\(181\) 4.64754e6 + 5.82784e6i 0.783768 + 0.982815i 0.999979 + 0.00646778i \(0.00205877\pi\)
−0.216211 + 0.976347i \(0.569370\pi\)
\(182\) −246627. 1.08055e6i −0.0409098 0.179237i
\(183\) −3.22501e6 4.04403e6i −0.526232 0.659874i
\(184\) −942851. 1.95785e6i −0.151352 0.314287i
\(185\) −2.78078e6 + 1.21834e7i −0.439189 + 1.92421i
\(186\) −1.21728e6 + 586212.i −0.189170 + 0.0910995i
\(187\) 844238. 1.05864e6i 0.129104 0.161892i
\(188\) −622578. 2.72769e6i −0.0936959 0.410508i
\(189\) −1.09770e6 4.80936e6i −0.162592 0.712363i
\(190\) 2.04453e6 4.24551e6i 0.298080 0.618970i
\(191\) 8.08181e6 + 6.44502e6i 1.15987 + 0.924963i 0.998085 0.0618632i \(-0.0197042\pi\)
0.161783 + 0.986826i \(0.448276\pi\)
\(192\) −2.40827e6 + 1.92053e6i −0.340253 + 0.271343i
\(193\) 7.69018e6 + 3.70340e6i 1.06971 + 0.515144i 0.884012 0.467464i \(-0.154832\pi\)
0.185695 + 0.982607i \(0.440546\pi\)
\(194\) 1.62777e6 3.38011e6i 0.222941 0.462941i
\(195\) −3.94932e6 4.95229e6i −0.532621 0.667886i
\(196\) 1.75156e6 2.19638e6i 0.232625 0.291702i
\(197\) −9.15695e6 4.40976e6i −1.19771 0.576787i −0.274689 0.961533i \(-0.588575\pi\)
−0.923023 + 0.384746i \(0.874289\pi\)
\(198\) −134970. + 30806.0i −0.0173876 + 0.00396862i
\(199\) 8.65930e6 1.97643e6i 1.09881 0.250797i 0.365583 0.930779i \(-0.380870\pi\)
0.733229 + 0.679982i \(0.238012\pi\)
\(200\) −912279. 727518.i −0.114035 0.0909398i
\(201\) 2.50326e6 + 5.19808e6i 0.308261 + 0.640110i
\(202\) −1.80924e6 412947.i −0.219503 0.0501002i
\(203\) 925456. 445676.i 0.110629 0.0532759i
\(204\) −1.81852e6 + 1.45022e6i −0.214204 + 0.170822i
\(205\) −1.69132e7 + 3.86034e6i −1.96320 + 0.448089i
\(206\) −1.14098e6 + 909902.i −0.130520 + 0.104086i
\(207\) 87201.4 382054.i 0.00983133 0.0430739i
\(208\) 4.61613e6 0.512965
\(209\) 1.21556e7i 1.33149i
\(210\) 591245. 2.59042e6i 0.0638425 0.279712i
\(211\) −5.43367e6 4.33321e6i −0.578423 0.461277i 0.290051 0.957011i \(-0.406328\pi\)
−0.868474 + 0.495734i \(0.834899\pi\)
\(212\) −1.98780e6 957273.i −0.208624 0.100468i
\(213\) −9.27149e6 + 4.46492e6i −0.959425 + 0.462035i
\(214\) 716698.i 0.0731299i
\(215\) 1.01349e7 4.40694e6i 1.01977 0.443427i
\(216\) −5.94777e6 −0.590191
\(217\) −2.10228e6 4.36543e6i −0.205737 0.427217i
\(218\) −682040. + 1.41627e6i −0.0658325 + 0.136703i
\(219\) 1.42081e6 1.78164e6i 0.135271 0.169625i
\(220\) −7.24065e6 1.65263e6i −0.680001 0.155206i
\(221\) 2.35703e6 0.218368
\(222\) 6.56371e6i 0.599916i
\(223\) −4.47329e6 1.02100e6i −0.403379 0.0920685i 0.0160179 0.999872i \(-0.494901\pi\)
−0.419396 + 0.907803i \(0.637758\pi\)
\(224\) 4.50539e6 + 5.64958e6i 0.400856 + 0.502657i
\(225\) −46824.0 205149.i −0.00411075 0.0180104i
\(226\) 1.21693e6 + 1.52598e6i 0.105424 + 0.132198i
\(227\) −2.03878e6 4.23357e6i −0.174298 0.361934i 0.795458 0.606008i \(-0.207230\pi\)
−0.969756 + 0.244075i \(0.921516\pi\)
\(228\) −4.64641e6 + 2.03572e7i −0.392024 + 1.71757i
\(229\) −1.38588e7 + 6.67405e6i −1.15404 + 0.555755i −0.910244 0.414073i \(-0.864106\pi\)
−0.243793 + 0.969827i \(0.578392\pi\)
\(230\) −1.55364e6 + 1.94820e6i −0.127693 + 0.160122i
\(231\) −1.52519e6 6.68229e6i −0.123734 0.542113i
\(232\) −275585. 1.20742e6i −0.0220695 0.0966928i
\(233\) −5.36641e6 + 1.11435e7i −0.424245 + 0.880953i 0.573833 + 0.818973i \(0.305456\pi\)
−0.998077 + 0.0619807i \(0.980258\pi\)
\(234\) −188411. 150253.i −0.0147048 0.0117267i
\(235\) −5.31401e6 + 4.23778e6i −0.409467 + 0.326539i
\(236\) 4.85808e6 + 2.33953e6i 0.369597 + 0.177989i
\(237\) 2.42673e6 5.03916e6i 0.182296 0.378541i
\(238\) 616450. + 773004.i 0.0457264 + 0.0573391i
\(239\) 1.59548e7 2.00066e7i 1.16868 1.46548i 0.311667 0.950191i \(-0.399113\pi\)
0.857016 0.515290i \(-0.172316\pi\)
\(240\) 9.97044e6 + 4.80151e6i 0.721241 + 0.347332i
\(241\) 118223. 26983.7i 0.00844601 0.00192775i −0.218296 0.975883i \(-0.570050\pi\)
0.226742 + 0.973955i \(0.427193\pi\)
\(242\) −2.28397e6 + 521302.i −0.161155 + 0.0367827i
\(243\) −1.74821e6 1.39415e6i −0.121836 0.0971610i
\(244\) −4.58053e6 9.51157e6i −0.315316 0.654761i
\(245\) −6.65355e6 1.51863e6i −0.452434 0.103265i
\(246\) −8.20951e6 + 3.95349e6i −0.551458 + 0.265568i
\(247\) 1.65432e7 1.31927e7i 1.09781 0.875476i
\(248\) −5.69547e6 + 1.29995e6i −0.373400 + 0.0852262i
\(249\) 3.35698e6 2.67710e6i 0.217446 0.173407i
\(250\) 960864. 4.20982e6i 0.0614953 0.269428i
\(251\) 1.85088e7 1.17046 0.585230 0.810868i \(-0.301004\pi\)
0.585230 + 0.810868i \(0.301004\pi\)
\(252\) 852844.i 0.0532927i
\(253\) −1.43037e6 + 6.26685e6i −0.0883255 + 0.386979i
\(254\) 6.58838e6 + 5.25406e6i 0.402048 + 0.320622i
\(255\) 5.09098e6 + 2.45169e6i 0.307030 + 0.147858i
\(256\) −1.51983e6 + 731913.i −0.0905891 + 0.0436254i
\(257\) 2.99525e6i 0.176455i 0.996100 + 0.0882273i \(0.0281202\pi\)
−0.996100 + 0.0882273i \(0.971880\pi\)
\(258\) 4.67466e6 3.44116e6i 0.272202 0.200376i
\(259\) −2.35389e7 −1.35483
\(260\) −5.60928e6 1.16478e7i −0.319144 0.662710i
\(261\) 96904.0 201223.i 0.00545030 0.0113177i
\(262\) 6.48548e6 8.13253e6i 0.360610 0.452191i
\(263\) −2.29294e7 5.23349e6i −1.26045 0.287689i −0.460448 0.887687i \(-0.652311\pi\)
−0.800002 + 0.599997i \(0.795168\pi\)
\(264\) −8.26404e6 −0.449139
\(265\) 5.35980e6i 0.288012i
\(266\) 8.65331e6 + 1.97506e6i 0.459766 + 0.104939i
\(267\) −882432. 1.10653e6i −0.0463604 0.0581341i
\(268\) 2.62026e6 + 1.14801e7i 0.136126 + 0.596406i
\(269\) 9.93955e6 + 1.24638e7i 0.510634 + 0.640315i 0.968591 0.248659i \(-0.0799900\pi\)
−0.457957 + 0.888974i \(0.651419\pi\)
\(270\) 2.95923e6 + 6.14490e6i 0.150344 + 0.312193i
\(271\) −323868. + 1.41896e6i −0.0162727 + 0.0712955i −0.982412 0.186724i \(-0.940213\pi\)
0.966140 + 0.258020i \(0.0830700\pi\)
\(272\) −3.71011e6 + 1.78669e6i −0.184365 + 0.0887857i
\(273\) 7.43895e6 9.32815e6i 0.365615 0.458466i
\(274\) 579975. + 2.54104e6i 0.0281941 + 0.123526i
\(275\) 768056. + 3.36507e6i 0.0369313 + 0.161807i
\(276\) 4.79093e6 9.94847e6i 0.227873 0.473183i
\(277\) 3.68836e6 + 2.94137e6i 0.173538 + 0.138392i 0.706407 0.707806i \(-0.250315\pi\)
−0.532869 + 0.846198i \(0.678886\pi\)
\(278\) −7.09395e6 + 5.65724e6i −0.330182 + 0.263312i
\(279\) −949183. 457102.i −0.0437056 0.0210475i
\(280\) 4.98478e6 1.03510e7i 0.227076 0.471529i
\(281\) 2.21251e7 + 2.77440e7i 0.997163 + 1.25040i 0.968032 + 0.250827i \(0.0807027\pi\)
0.0291313 + 0.999576i \(0.490726\pi\)
\(282\) −2.22583e6 + 2.79110e6i −0.0992531 + 0.124459i
\(283\) 1.22717e7 + 5.90973e6i 0.541433 + 0.260741i 0.684551 0.728965i \(-0.259998\pi\)
−0.143117 + 0.989706i \(0.545713\pi\)
\(284\) −2.04764e7 + 4.67360e6i −0.893919 + 0.204031i
\(285\) 4.94544e7 1.12876e7i 2.13634 0.487605i
\(286\) 3.09051e6 + 2.46460e6i 0.132109 + 0.105353i
\(287\) −1.41781e7 2.94411e7i −0.599752 1.24540i
\(288\) 1.53178e6 + 349620.i 0.0641239 + 0.0146359i
\(289\) 1.98528e7 9.56060e6i 0.822485 0.396088i
\(290\) −1.11032e6 + 885454.i −0.0455256 + 0.0363055i
\(291\) 3.93736e7 8.98677e6i 1.59781 0.364691i
\(292\) 3.63632e6 2.89987e6i 0.146054 0.116474i
\(293\) −2.41971e6 + 1.06014e7i −0.0961968 + 0.421466i −0.999979 0.00652769i \(-0.997922\pi\)
0.903782 + 0.427993i \(0.140779\pi\)
\(294\) −3.58454e6 −0.141056
\(295\) 1.30991e7i 0.510240i
\(296\) −6.31533e6 + 2.76692e7i −0.243512 + 1.06690i
\(297\) 1.37554e7 + 1.09696e7i 0.525055 + 0.418718i
\(298\) 8.69569e6 + 4.18763e6i 0.328591 + 0.158241i
\(299\) −1.00813e7 + 4.85489e6i −0.377140 + 0.181621i
\(300\) 5.92914e6i 0.219598i
\(301\) 1.23407e7 + 1.67643e7i 0.452524 + 0.614733i
\(302\) −9.20141e6 −0.334067
\(303\) −8.66778e6 1.79988e7i −0.311588 0.647018i
\(304\) −1.60395e7 + 3.33064e7i −0.570913 + 1.18551i
\(305\) −1.59903e7 + 2.00512e7i −0.563583 + 0.706711i
\(306\) 209587. + 47836.8i 0.00731475 + 0.00166954i
\(307\) −3.23828e7 −1.11918 −0.559589 0.828770i \(-0.689041\pi\)
−0.559589 + 0.828770i \(0.689041\pi\)
\(308\) 1.39892e7i 0.478786i
\(309\) −1.53161e7 3.49581e6i −0.519128 0.118487i
\(310\) 4.17674e6 + 5.23747e6i 0.140201 + 0.175807i
\(311\) −1.27247e7 5.57507e7i −0.423027 1.85340i −0.514351 0.857580i \(-0.671967\pi\)
0.0913239 0.995821i \(-0.470890\pi\)
\(312\) −8.96914e6 1.12470e7i −0.295316 0.370315i
\(313\) 2.23998e7 + 4.65136e7i 0.730484 + 1.51687i 0.851580 + 0.524225i \(0.175645\pi\)
−0.121096 + 0.992641i \(0.538641\pi\)
\(314\) 1.02301e6 4.48209e6i 0.0330438 0.144774i
\(315\) 1.86666e6 898936.i 0.0597219 0.0287605i
\(316\) 7.11736e6 8.92489e6i 0.225558 0.282840i
\(317\) −1.24040e7 5.43456e7i −0.389390 1.70603i −0.666766 0.745267i \(-0.732322\pi\)
0.277376 0.960762i \(-0.410535\pi\)
\(318\) 626430. + 2.74457e6i 0.0194801 + 0.0853478i
\(319\) −1.58952e6 + 3.30067e6i −0.0489659 + 0.101679i
\(320\) 1.19408e7 + 9.52245e6i 0.364404 + 0.290602i
\(321\) 6.03200e6 4.81036e6i 0.182367 0.145433i
\(322\) −4.22882e6 2.03649e6i −0.126664 0.0609980i
\(323\) −8.18988e6 + 1.70065e7i −0.243036 + 0.504669i
\(324\) −2.03240e7 2.54855e7i −0.597549 0.749303i
\(325\) −3.74611e6 + 4.69747e6i −0.109126 + 0.136840i
\(326\) −1.33817e7 6.44428e6i −0.386241 0.186004i
\(327\) −1.64976e7 + 3.76547e6i −0.471821 + 0.107690i
\(328\) −3.84110e7 + 8.76706e6i −1.08851 + 0.248446i
\(329\) −1.00095e7 7.98229e6i −0.281076 0.224151i
\(330\) 4.11166e6 + 8.53795e6i 0.114413 + 0.237581i
\(331\) 1.10714e6 + 252696.i 0.0305293 + 0.00696811i 0.237758 0.971324i \(-0.423587\pi\)
−0.207229 + 0.978292i \(0.566445\pi\)
\(332\) 7.89563e6 3.80233e6i 0.215761 0.103905i
\(333\) −4.00148e6 + 3.19108e6i −0.108365 + 0.0864181i
\(334\) 9.07373e6 2.07102e6i 0.243527 0.0555834i
\(335\) 2.23652e7 1.78357e7i 0.594892 0.474411i
\(336\) −4.63836e6 + 2.03220e7i −0.122278 + 0.535733i
\(337\) −1.22878e6 −0.0321058 −0.0160529 0.999871i \(-0.505110\pi\)
−0.0160529 + 0.999871i \(0.505110\pi\)
\(338\) 5.68922e6i 0.147334i
\(339\) −4.67541e6 + 2.04843e7i −0.120011 + 0.525802i
\(340\) 9.01665e6 + 7.19054e6i 0.229408 + 0.182947i
\(341\) 1.55695e7 + 7.49787e6i 0.392655 + 0.189093i
\(342\) 1.73877e6 837347.i 0.0434674 0.0209328i
\(343\) 4.36581e7i 1.08189i
\(344\) 2.30169e7 1.00084e7i 0.565421 0.245861i
\(345\) −2.68245e7 −0.653244
\(346\) −7.31691e6 1.51937e7i −0.176644 0.366805i
\(347\) −8.80532e6 + 1.82844e7i −0.210745 + 0.437616i −0.979368 0.202086i \(-0.935228\pi\)
0.768623 + 0.639702i \(0.220942\pi\)
\(348\) 3.92366e6 4.92012e6i 0.0931010 0.116745i
\(349\) −3.49227e7 7.97087e6i −0.821545 0.187512i −0.208967 0.977923i \(-0.567010\pi\)
−0.612578 + 0.790410i \(0.709867\pi\)
\(350\) −2.52031e6 −0.0587829
\(351\) 3.06260e7i 0.708221i
\(352\) −2.51259e7 5.73483e6i −0.576095 0.131490i
\(353\) −4.60594e7 5.77567e7i −1.04712 1.31304i −0.948106 0.317955i \(-0.897004\pi\)
−0.0990096 0.995086i \(-0.531567\pi\)
\(354\) −1.53096e6 6.70759e6i −0.0345108 0.151202i
\(355\) 3.18124e7 + 3.98914e7i 0.711068 + 0.891651i
\(356\) −1.25333e6 2.60257e6i −0.0277790 0.0576836i
\(357\) −2.36838e6 + 1.03765e7i −0.0520531 + 0.228060i
\(358\) 2.00572e7 9.65904e6i 0.437141 0.210516i
\(359\) −4.80947e7 + 6.03088e7i −1.03947 + 1.30346i −0.0878702 + 0.996132i \(0.528006\pi\)
−0.951604 + 0.307327i \(0.900565\pi\)
\(360\) −555860. 2.43538e6i −0.0119140 0.0521987i
\(361\) 2.72378e7 + 1.19336e8i 0.578962 + 2.53660i
\(362\) 8.42262e6 1.74898e7i 0.177550 0.368687i
\(363\) −1.97171e7 1.57239e7i −0.412214 0.328730i
\(364\) 1.90387e7 1.51828e7i 0.394759 0.314810i
\(365\) −1.01799e7 4.90239e6i −0.209347 0.100816i
\(366\) −5.84460e6 + 1.21364e7i −0.119210 + 0.247541i
\(367\) −3.66599e7 4.59700e7i −0.741639 0.929986i 0.257704 0.966224i \(-0.417034\pi\)
−0.999343 + 0.0362380i \(0.988463\pi\)
\(368\) 1.21884e7 1.52838e7i 0.244570 0.306681i
\(369\) −6.40141e6 3.08276e6i −0.127408 0.0613565i
\(370\) 3.17284e7 7.24181e6i 0.626388 0.142969i
\(371\) −9.84260e6 + 2.24651e6i −0.192747 + 0.0439933i
\(372\) −2.32085e7 1.85082e7i −0.450836 0.359530i
\(373\) 8.04477e6 + 1.67051e7i 0.155020 + 0.321902i 0.963986 0.265953i \(-0.0856867\pi\)
−0.808966 + 0.587855i \(0.799972\pi\)
\(374\) −3.43786e6 784669.i −0.0657163 0.0149993i
\(375\) 4.18806e7 2.01686e7i 0.794180 0.382457i
\(376\) −1.20684e7 + 9.62425e6i −0.227032 + 0.181052i
\(377\) −6.21719e6 + 1.41903e6i −0.116030 + 0.0264831i
\(378\) −1.00440e7 + 8.00983e6i −0.185965 + 0.148302i
\(379\) 937910. 4.10925e6i 0.0172283 0.0754823i −0.965583 0.260095i \(-0.916246\pi\)
0.982811 + 0.184613i \(0.0591032\pi\)
\(380\) 1.03532e8 1.88678
\(381\) 9.07146e7i 1.64022i
\(382\) 5.99026e6 2.62451e7i 0.107462 0.470823i
\(383\) −8.12586e7 6.48016e7i −1.44635 1.15342i −0.960118 0.279594i \(-0.909800\pi\)
−0.486230 0.873831i \(-0.661628\pi\)
\(384\) 5.18420e7 + 2.49658e7i 0.915562 + 0.440911i
\(385\) −3.06189e7 + 1.47453e7i −0.536547 + 0.258387i
\(386\) 2.22283e7i 0.386496i
\(387\) 4.37054e6 + 1.17686e6i 0.0754054 + 0.0203045i
\(388\) 8.24278e7 1.41117
\(389\) −1.46443e6 3.04091e6i −0.0248782 0.0516601i 0.888159 0.459535i \(-0.151984\pi\)
−0.913038 + 0.407875i \(0.866270\pi\)
\(390\) −7.15725e6 + 1.48622e7i −0.120657 + 0.250547i
\(391\) 6.22348e6 7.80400e6i 0.104113 0.130553i
\(392\) −1.51106e7 3.44890e6i −0.250855 0.0572561i
\(393\) 1.11976e8 1.84479
\(394\) 2.64680e7i 0.432745i
\(395\) −2.70363e7 6.17087e6i −0.438689 0.100128i
\(396\) −1.89647e6 2.37810e6i −0.0305394 0.0382952i
\(397\) −4.51374e6 1.97760e7i −0.0721382 0.316058i 0.925966 0.377607i \(-0.123253\pi\)
−0.998104 + 0.0615492i \(0.980396\pi\)
\(398\) −1.44218e7 1.80844e7i −0.228755 0.286849i
\(399\) 4.14567e7 + 8.60857e7i 0.652643 + 1.35523i
\(400\) 2.33579e6 1.02338e7i 0.0364967 0.159902i
\(401\) 9.20444e7 4.43263e7i 1.42746 0.687429i 0.448938 0.893563i \(-0.351803\pi\)
0.978524 + 0.206134i \(0.0660882\pi\)
\(402\) 9.36790e6 1.17470e7i 0.144200 0.180821i
\(403\) 6.69367e6 + 2.93269e7i 0.102270 + 0.448075i
\(404\) −9.07291e6 3.97510e7i −0.137595 0.602843i
\(405\) −3.43588e7 + 7.13469e7i −0.517218 + 1.07401i
\(406\) −2.09141e6 1.66784e6i −0.0312508 0.0249217i
\(407\) 6.56365e7 5.23434e7i 0.973559 0.776387i
\(408\) 1.15619e7 + 5.56792e6i 0.170235 + 0.0819809i
\(409\) 4.54114e7 9.42977e7i 0.663735 1.37826i −0.248515 0.968628i \(-0.579943\pi\)
0.912251 0.409633i \(-0.134343\pi\)
\(410\) 2.81685e7 + 3.53222e7i 0.408707 + 0.512502i
\(411\) −1.74936e7 + 2.19363e7i −0.251973 + 0.315964i
\(412\) −2.88887e7 1.39121e7i −0.413082 0.198930i
\(413\) 2.40548e7 5.49036e6i 0.341470 0.0779382i
\(414\) −994958. + 227093.i −0.0140218 + 0.00320038i
\(415\) −1.66447e7 1.32737e7i −0.232880 0.185715i
\(416\) −1.94649e7 4.04193e7i −0.270378 0.561447i
\(417\) −9.52268e7 2.17349e7i −1.31326 0.299743i
\(418\) −2.85211e7 + 1.37350e7i −0.390515 + 0.188062i
\(419\) −4.61594e7 + 3.68109e7i −0.627506 + 0.500419i −0.884835 0.465905i \(-0.845729\pi\)
0.257329 + 0.966324i \(0.417158\pi\)
\(420\) 5.69144e7 1.29903e7i 0.768200 0.175337i
\(421\) 6.43068e7 5.12829e7i 0.861808 0.687269i −0.0893411 0.996001i \(-0.528476\pi\)
0.951149 + 0.308732i \(0.0999047\pi\)
\(422\) −4.02745e6 + 1.76454e7i −0.0535912 + 0.234798i
\(423\) −2.78369e6 −0.0367790
\(424\) 1.21724e7i 0.159691i
\(425\) 1.19267e6 5.22543e6i 0.0155365 0.0680699i
\(426\) 2.09524e7 + 1.67089e7i 0.271022 + 0.216133i
\(427\) −4.35238e7 2.09600e7i −0.559041 0.269220i
\(428\) 1.41873e7 6.83223e6i 0.180954 0.0871427i
\(429\) 4.25529e7i 0.538961i
\(430\) −2.17919e7 1.88003e7i −0.274088 0.236460i
\(431\) 4.08261e7 0.509924 0.254962 0.966951i \(-0.417937\pi\)
0.254962 + 0.966951i \(0.417937\pi\)
\(432\) −2.32153e7 4.82072e7i −0.287955 0.597944i
\(433\) −2.28996e7 + 4.75515e7i −0.282075 + 0.585734i −0.993078 0.117454i \(-0.962527\pi\)
0.711004 + 0.703188i \(0.248241\pi\)
\(434\) −7.86732e6 + 9.86531e6i −0.0962405 + 0.120682i
\(435\) −1.49046e7 3.40188e6i −0.181073 0.0413287i
\(436\) −3.45374e7 −0.416706
\(437\) 8.96077e7i 1.07374i
\(438\) −5.78576e6 1.32056e6i −0.0688554 0.0157158i
\(439\) 4.00955e7 + 5.02781e7i 0.473916 + 0.594272i 0.960125 0.279570i \(-0.0901920\pi\)
−0.486209 + 0.873843i \(0.661621\pi\)
\(440\) 9.11780e6 + 3.99477e7i 0.107037 + 0.468958i
\(441\) −1.74270e6 2.18527e6i −0.0203192 0.0254794i
\(442\) −2.66329e6 5.53037e6i −0.0308426 0.0640454i
\(443\) −2.80330e6 + 1.22821e7i −0.0322447 + 0.141273i −0.988488 0.151299i \(-0.951654\pi\)
0.956243 + 0.292573i \(0.0945114\pi\)
\(444\) −1.29931e8 + 6.25713e7i −1.48444 + 0.714869i
\(445\) −4.37530e6 + 5.48645e6i −0.0496510 + 0.0622604i
\(446\) 2.65892e6 + 1.16495e7i 0.0299710 + 0.131311i
\(447\) 2.31194e7 + 1.01293e8i 0.258854 + 1.13411i
\(448\) −1.24819e7 + 2.59190e7i −0.138819 + 0.288260i
\(449\) −2.44711e7 1.95150e7i −0.270342 0.215591i 0.478930 0.877853i \(-0.341025\pi\)
−0.749272 + 0.662263i \(0.769596\pi\)
\(450\) −428440. + 341670.i −0.00470168 + 0.00374946i
\(451\) 1.05003e8 + 5.05666e7i 1.14464 + 0.551232i
\(452\) −1.86064e7 + 3.86366e7i −0.201487 + 0.418393i
\(453\) −6.17583e7 7.74425e7i −0.664356 0.833076i
\(454\) −7.62967e6 + 9.56731e6i −0.0815339 + 0.102240i
\(455\) −5.32990e7 2.56674e7i −0.565828 0.272488i
\(456\) 1.12314e8 2.56349e7i 1.18451 0.270357i
\(457\) −1.25276e8 + 2.85935e7i −1.31256 + 0.299584i −0.820835 0.571165i \(-0.806492\pi\)
−0.491728 + 0.870749i \(0.663634\pi\)
\(458\) 3.13191e7 + 2.49761e7i 0.325996 + 0.259973i
\(459\) −1.18539e7 2.46149e7i −0.122581 0.254542i
\(460\) −5.33760e7 1.21827e7i −0.548368 0.125161i
\(461\) −7.31979e7 + 3.52502e7i −0.747129 + 0.359798i −0.768395 0.639975i \(-0.778944\pi\)
0.0212663 + 0.999774i \(0.493230\pi\)
\(462\) −1.39555e7 + 1.11292e7i −0.141521 + 0.112859i
\(463\) 1.64674e8 3.75857e7i 1.65913 0.378687i 0.712671 0.701498i \(-0.247485\pi\)
0.946463 + 0.322812i \(0.104628\pi\)
\(464\) 8.71057e6 6.94645e6i 0.0871952 0.0695359i
\(465\) −1.60469e7 + 7.03060e7i −0.159600 + 0.699252i
\(466\) 3.22100e7 0.318297
\(467\) 5.03264e7i 0.494134i 0.968998 + 0.247067i \(0.0794668\pi\)
−0.968998 + 0.247067i \(0.920533\pi\)
\(468\) 1.17819e6 5.16200e6i 0.0114942 0.0503594i
\(469\) 4.21271e7 + 3.35953e7i 0.408360 + 0.325656i
\(470\) 1.59477e7 + 7.68002e6i 0.153605 + 0.0739722i
\(471\) 4.45892e7 2.14730e7i 0.426744 0.205509i
\(472\) 2.97488e7i 0.282907i
\(473\) −7.16902e7 1.93041e7i −0.677448 0.182417i
\(474\) −1.45656e7 −0.136771
\(475\) −2.08768e7 4.33511e7i −0.194797 0.404500i
\(476\) −9.42529e6 + 1.95718e7i −0.0873924 + 0.181472i
\(477\) −1.36864e6 + 1.71622e6i −0.0126106 + 0.0158131i
\(478\) −6.49701e7 1.48290e7i −0.594880 0.135778i
\(479\) −1.73072e8 −1.57479 −0.787393 0.616452i \(-0.788570\pi\)
−0.787393 + 0.616452i \(0.788570\pi\)
\(480\) 1.07549e8i 0.972482i
\(481\) 1.42473e8 + 3.25186e7i 1.28026 + 0.292211i
\(482\) −196897. 246901.i −0.00175832 0.00220486i
\(483\) −1.12433e7 4.92600e7i −0.0997817 0.437172i
\(484\) −3.20923e7 4.02424e7i −0.283051 0.354934i
\(485\) −8.68826e7 1.80414e8i −0.761566 1.58141i
\(486\) −1.29578e6 + 5.67720e6i −0.0112882 + 0.0494567i
\(487\) 1.19880e7 5.77311e6i 0.103791 0.0499830i −0.381268 0.924465i \(-0.624512\pi\)
0.485059 + 0.874482i \(0.338798\pi\)
\(488\) −3.63150e7 + 4.55376e7i −0.312483 + 0.391841i
\(489\) −3.55782e7 1.55878e8i −0.304269 1.33309i
\(490\) 3.95486e6 + 1.73274e7i 0.0336158 + 0.147280i
\(491\) −5.67144e7 + 1.17769e8i −0.479125 + 0.994913i 0.511625 + 0.859209i \(0.329044\pi\)
−0.990749 + 0.135704i \(0.956670\pi\)
\(492\) −1.56521e8 1.24822e8i −1.31425 1.04808i
\(493\) 4.44768e6 3.54690e6i 0.0371187 0.0296012i
\(494\) −4.96473e7 2.39089e7i −0.411827 0.198325i
\(495\) −3.20609e6 + 6.65751e6i −0.0264338 + 0.0548904i
\(496\) −3.27668e7 4.10883e7i −0.268528 0.336723i
\(497\) −5.99218e7 + 7.51396e7i −0.488108 + 0.612068i
\(498\) −1.00745e7 4.85165e6i −0.0815713 0.0392827i
\(499\) 3.65215e7 8.33579e6i 0.293932 0.0670881i −0.0730121 0.997331i \(-0.523261\pi\)
0.366944 + 0.930243i \(0.380404\pi\)
\(500\) 9.24946e7 2.11113e7i 0.739956 0.168890i
\(501\) 7.83318e7 + 6.24675e7i 0.622910 + 0.496754i
\(502\) −2.09137e7 4.34277e7i −0.165318 0.343286i
\(503\) 4.01338e7 + 9.16028e6i 0.315360 + 0.0719789i 0.377271 0.926103i \(-0.376862\pi\)
−0.0619113 + 0.998082i \(0.519720\pi\)
\(504\) 4.23930e6 2.04154e6i 0.0331133 0.0159465i
\(505\) −7.74416e7 + 6.17576e7i −0.601313 + 0.479531i
\(506\) 1.63203e7 3.72501e6i 0.125973 0.0287525i
\(507\) 4.78826e7 3.81851e7i 0.367412 0.293001i
\(508\) −4.11992e7 + 1.80506e8i −0.314266 + 1.37689i
\(509\) 1.30671e8 0.990888 0.495444 0.868640i \(-0.335005\pi\)
0.495444 + 0.868640i \(0.335005\pi\)
\(510\) 1.47154e7i 0.110933i
\(511\) 4.73581e6 2.07490e7i 0.0354921 0.155501i
\(512\) 1.06135e8 + 8.46401e7i 0.790770 + 0.630618i
\(513\) −2.20973e8 1.06415e8i −1.63677 0.788226i
\(514\) 7.02785e6 3.38443e6i 0.0517527 0.0249228i
\(515\) 7.78940e7i 0.570272i
\(516\) 1.12682e8 + 5.97320e7i 0.820174 + 0.434769i
\(517\) 4.56609e7 0.330425
\(518\) 2.65974e7 + 5.52300e7i 0.191359 + 0.397361i
\(519\) 7.87661e7 1.63559e8i 0.563426 1.16997i
\(520\) −4.44711e7 + 5.57650e7i −0.316277 + 0.396599i
\(521\) 8.65509e7 + 1.97547e7i 0.612010 + 0.139687i 0.517281 0.855816i \(-0.326944\pi\)
0.0947293 + 0.995503i \(0.469801\pi\)
\(522\) −581632. −0.00408918
\(523\) 1.69614e8i 1.18565i −0.805331 0.592825i \(-0.798013\pi\)
0.805331 0.592825i \(-0.201987\pi\)
\(524\) 2.22812e8 + 5.08553e7i 1.54862 + 0.353462i
\(525\) −1.69159e7 2.12119e7i −0.116901 0.146589i
\(526\) 1.36292e7 + 5.97135e7i 0.0936513 + 0.410313i
\(527\) −1.67310e7 2.09800e7i −0.114311 0.143342i
\(528\) −3.22563e7 6.69808e7i −0.219135 0.455039i
\(529\) 2.23968e7 9.81269e7i 0.151293 0.662859i
\(530\) 1.25759e7 6.05622e6i 0.0844715 0.0406793i
\(531\) 3.34489e6 4.19436e6i 0.0223408 0.0280144i
\(532\) 4.33943e7 + 1.90123e8i 0.288203 + 1.26270i
\(533\) 4.51430e7 + 1.97784e8i 0.298132 + 1.30620i
\(534\) −1.59921e6 + 3.32079e6i −0.0105022 + 0.0218081i
\(535\) −2.99080e7 2.38509e7i −0.195311 0.155755i
\(536\) 5.07927e7 4.05058e7i 0.329843 0.263041i
\(537\) 2.15915e8 + 1.03979e8i 1.39431 + 0.671464i
\(538\) 1.80132e7 3.74048e7i 0.115676 0.240204i
\(539\) 2.85855e7 + 3.58451e7i 0.182549 + 0.228909i
\(540\) −9.34301e7 + 1.17158e8i −0.593343 + 0.744028i
\(541\) 3.66246e7 + 1.76375e7i 0.231303 + 0.111390i 0.545946 0.837820i \(-0.316170\pi\)
−0.314643 + 0.949210i \(0.601885\pi\)
\(542\) 3.69530e6 843429.i 0.0232088 0.00529725i
\(543\) 2.03731e8 4.65004e7i 1.27250 0.290440i
\(544\) 3.12889e7 + 2.49521e7i 0.194354 + 0.154992i
\(545\) 3.64040e7 + 7.55936e7i 0.224884 + 0.466977i
\(546\) −3.02925e7 6.91406e6i −0.186104 0.0424771i
\(547\) −9.34432e7 + 4.49999e7i −0.570934 + 0.274947i −0.696996 0.717075i \(-0.745480\pi\)
0.126062 + 0.992022i \(0.459766\pi\)
\(548\) −4.47718e7 + 3.57043e7i −0.272059 + 0.216960i
\(549\) −1.02403e7 + 2.33728e6i −0.0618864 + 0.0141252i
\(550\) 7.02773e6 5.60442e6i 0.0422403 0.0336855i
\(551\) 1.13640e7 4.97890e7i 0.0679324 0.297631i
\(552\) −6.09202e7 −0.362196
\(553\) 5.22353e7i 0.308879i
\(554\) 2.73382e6 1.19777e7i 0.0160783 0.0704438i
\(555\) 2.73906e8 + 2.18432e8i 1.60222 + 1.27773i
\(556\) −1.79613e8 8.64970e7i −1.04499 0.503242i
\(557\) −1.60808e8 + 7.74409e7i −0.930553 + 0.448131i −0.836827 0.547467i \(-0.815592\pi\)
−0.0937260 + 0.995598i \(0.529878\pi\)
\(558\) 2.74359e6i 0.0157913i
\(559\) −5.15350e7 1.18518e8i −0.295030 0.678498i
\(560\) 1.03352e8 0.588513
\(561\) −1.64703e7 3.42009e7i −0.0932851 0.193708i
\(562\) 4.00967e7 8.32617e7i 0.225892 0.469069i
\(563\) −1.07562e8 + 1.34879e8i −0.602746 + 0.755820i −0.985803 0.167905i \(-0.946300\pi\)
0.383057 + 0.923725i \(0.374871\pi\)
\(564\) −7.64693e7 1.74536e7i −0.426236 0.0972855i
\(565\) 1.04178e8 0.577604
\(566\) 3.54711e7i 0.195625i
\(567\) −1.45421e8 3.31914e7i −0.797770 0.182086i
\(568\) 7.22478e7 + 9.05959e7i 0.394257 + 0.494383i
\(569\) −3.83117e7 1.67855e8i −0.207967 0.911164i −0.965917 0.258851i \(-0.916656\pi\)
0.757950 0.652313i \(-0.226201\pi\)
\(570\) −8.23647e7 1.03282e8i −0.444751 0.557700i
\(571\) −6.63072e7 1.37688e8i −0.356166 0.739586i 0.643500 0.765446i \(-0.277482\pi\)
−0.999666 + 0.0258602i \(0.991768\pi\)
\(572\) −1.93259e7 + 8.46725e7i −0.103265 + 0.452433i
\(573\) 2.61094e8 1.25736e8i 1.38782 0.668338i
\(574\) −5.30582e7 + 6.65329e7i −0.280554 + 0.351804i
\(575\) 5.66189e6 + 2.48063e7i 0.0297823 + 0.130485i
\(576\) 1.39188e6 + 6.09823e6i 0.00728341 + 0.0319107i
\(577\) −3.45535e6 + 7.17510e6i −0.0179872 + 0.0373509i −0.909769 0.415115i \(-0.863741\pi\)
0.891782 + 0.452466i \(0.149456\pi\)
\(578\) −4.48647e7 3.57784e7i −0.232339 0.185284i
\(579\) 1.87082e8 1.49193e8i 0.963820 0.768621i
\(580\) −2.81125e7 1.35383e7i −0.144084 0.0693871i
\(581\) 1.73990e7 3.61295e7i 0.0887149 0.184218i
\(582\) −6.55755e7 8.22291e7i −0.332639 0.417116i
\(583\) 2.24499e7 2.81512e7i 0.113294 0.142067i
\(584\) −2.31192e7 1.11336e7i −0.116074 0.0558982i
\(585\) −1.25402e7 + 2.86221e6i −0.0626378 + 0.0142967i
\(586\) 2.76086e7 6.30149e6i 0.137199 0.0313148i
\(587\) 2.26157e8 + 1.80354e8i 1.11814 + 0.891686i 0.994918 0.100693i \(-0.0321061\pi\)
0.123221 + 0.992379i \(0.460678\pi\)
\(588\) −3.41712e7 7.09572e7i −0.168085 0.349031i
\(589\) −2.34858e8 5.36048e7i −1.14937 0.262336i
\(590\) −3.07348e7 + 1.48011e7i −0.149649 + 0.0720672i
\(591\) −2.22764e8 + 1.77649e8i −1.07915 + 0.860596i
\(592\) −2.48912e8 + 5.68125e7i −1.19972 + 0.273828i
\(593\) 3.18520e8 2.54012e8i 1.52747 1.21812i 0.630370 0.776295i \(-0.282903\pi\)
0.897102 0.441823i \(-0.145668\pi\)
\(594\) 1.01956e7 4.46698e7i 0.0486466 0.213135i
\(595\) 5.27724e7 0.250528
\(596\) 2.12054e8i 1.00163i
\(597\) 5.54080e7 2.42758e8i 0.260405 1.14091i
\(598\) 2.27824e7 + 1.81683e7i 0.106536 + 0.0849594i
\(599\) −3.07603e8 1.48134e8i −1.43123 0.689245i −0.452006 0.892015i \(-0.649291\pi\)
−0.979226 + 0.202770i \(0.935006\pi\)
\(600\) −2.94724e7 + 1.41932e7i −0.136446 + 0.0657091i
\(601\) 1.57036e8i 0.723396i 0.932295 + 0.361698i \(0.117803\pi\)
−0.932295 + 0.361698i \(0.882197\pi\)
\(602\) 2.53905e7 4.78981e7i 0.116381 0.219548i
\(603\) 1.17158e7 0.0534342
\(604\) −8.77163e7 1.82145e8i −0.398079 0.826620i
\(605\) −5.42538e7 + 1.12659e8i −0.244999 + 0.508745i
\(606\) −3.24372e7 + 4.06750e7i −0.145756 + 0.182772i
\(607\) 2.81200e8 + 6.41820e7i 1.25733 + 0.286977i 0.798743 0.601672i \(-0.205499\pi\)
0.458587 + 0.888650i \(0.348356\pi\)
\(608\) 3.59267e8 1.59848
\(609\) 2.87964e7i 0.127493i
\(610\) 6.51149e7 + 1.48620e7i 0.286874 + 0.0654771i
\(611\) 4.95568e7 + 6.21423e7i 0.217260 + 0.272435i
\(612\) 1.05103e6 + 4.60486e6i 0.00458522 + 0.0200892i
\(613\) −2.32072e8 2.91009e8i −1.00749 1.26336i −0.964445 0.264282i \(-0.914865\pi\)
−0.0430467 0.999073i \(-0.513706\pi\)
\(614\) 3.65905e7 + 7.59809e7i 0.158075 + 0.328246i
\(615\) −1.08222e8 + 4.74153e8i −0.465256 + 2.03842i
\(616\) −6.95374e7 + 3.34874e7i −0.297493 + 0.143265i
\(617\) −2.05196e8 + 2.57307e8i −0.873601 + 1.09546i 0.121099 + 0.992640i \(0.461358\pi\)
−0.994700 + 0.102821i \(0.967213\pi\)
\(618\) 9.10391e6 + 3.98868e7i 0.0385711 + 0.168991i
\(619\) −3.21525e6 1.40869e7i −0.0135564 0.0593943i 0.967697 0.252115i \(-0.0811261\pi\)
−0.981254 + 0.192721i \(0.938269\pi\)
\(620\) −6.38608e7 + 1.32608e8i −0.267953 + 0.556411i
\(621\) 1.01401e8 + 8.08647e7i 0.423417 + 0.337664i
\(622\) −1.16432e8 + 9.28511e7i −0.483838 + 0.385848i
\(623\) −1.19091e7 5.73510e6i −0.0492508 0.0237179i
\(624\) 5.61491e7 1.16595e8i 0.231094 0.479872i
\(625\) −1.79710e8 2.25349e8i −0.736093 0.923031i
\(626\) 8.38262e7 1.05115e8i 0.341709 0.428490i
\(627\) −3.07028e8 1.47857e8i −1.24559 0.599845i
\(628\) 9.84767e7 2.24767e7i 0.397608 0.0907513i
\(629\) −1.27096e8 + 2.90088e7i −0.510717 + 0.116568i
\(630\) −4.21841e6 3.36407e6i −0.0168705 0.0134537i
\(631\) 1.62148e8 + 3.36704e8i 0.645393 + 1.34017i 0.924967 + 0.380048i \(0.124093\pi\)
−0.279574 + 0.960124i \(0.590193\pi\)
\(632\) −6.14011e7 1.40144e7i −0.243234 0.0555167i
\(633\) −1.75542e8 + 8.45366e7i −0.692102 + 0.333299i
\(634\) −1.13497e8 + 9.05109e7i −0.445366 + 0.355167i
\(635\) 4.38507e8 1.00086e8i 1.71260 0.390889i
\(636\) −4.83579e7 + 3.85641e7i −0.187973 + 0.149904i
\(637\) −1.77589e7 + 7.78069e7i −0.0687066 + 0.301023i
\(638\) 9.54053e6 0.0367376
\(639\) 2.08967e7i 0.0800895i
\(640\) 6.34847e7 2.78145e8i 0.242175 1.06104i
\(641\) 1.62086e8 + 1.29259e8i 0.615419 + 0.490780i 0.880879 0.473341i \(-0.156952\pi\)
−0.265460 + 0.964122i \(0.585524\pi\)
\(642\) −1.81025e7 8.71769e6i −0.0684121 0.0329455i
\(643\) −3.40980e8 + 1.64207e8i −1.28261 + 0.617674i −0.946060 0.323990i \(-0.894976\pi\)
−0.336553 + 0.941664i \(0.609261\pi\)
\(644\) 1.03125e8i 0.386105i
\(645\) 1.19663e7 3.09593e8i 0.0445946 1.15375i
\(646\) 4.91568e7 0.182342
\(647\) 8.66909e7 + 1.80015e8i 0.320081 + 0.664656i 0.997479 0.0709611i \(-0.0226066\pi\)
−0.677398 + 0.735617i \(0.736892\pi\)
\(648\) −7.80310e7 + 1.62033e8i −0.286776 + 0.595496i
\(649\) −5.48663e7 + 6.88002e7i −0.200711 + 0.251684i
\(650\) 1.52547e7 + 3.48178e6i 0.0555473 + 0.0126783i
\(651\) −1.35834e8 −0.492341
\(652\) 3.26328e8i 1.17736i
\(653\) −4.48273e8 1.02315e8i −1.60992 0.367453i −0.679419 0.733751i \(-0.737768\pi\)
−0.930498 + 0.366298i \(0.880625\pi\)
\(654\) 2.74763e7 + 3.44541e7i 0.0982255 + 0.123171i
\(655\) −1.23544e8 5.41282e8i −0.439641 1.92619i
\(656\) −2.20984e8 2.77105e8i −0.782797 0.981596i
\(657\) −2.00780e6 4.16923e6i −0.00707984 0.0147014i
\(658\) −7.41906e6 + 3.25050e7i −0.0260418 + 0.114097i
\(659\) −2.98805e8 + 1.43897e8i −1.04407 + 0.502800i −0.875666 0.482918i \(-0.839577\pi\)
−0.168408 + 0.985717i \(0.553863\pi\)
\(660\) −1.29815e8 + 1.62783e8i −0.451538 + 0.566210i
\(661\) 4.63588e6 + 2.03111e7i 0.0160519 + 0.0703282i 0.982320 0.187212i \(-0.0599452\pi\)
−0.966268 + 0.257540i \(0.917088\pi\)
\(662\) −658080. 2.88324e6i −0.00226832 0.00993818i
\(663\) 2.86701e7 5.95342e7i 0.0983760 0.204280i
\(664\) −3.78011e7 3.01454e7i −0.129122 0.102971i
\(665\) 3.70392e8 2.95377e8i 1.25949 1.00441i
\(666\) 1.20087e7 + 5.78310e6i 0.0406513 + 0.0195766i
\(667\) −1.17175e7 + 2.43316e7i −0.0394873 + 0.0819962i
\(668\) 1.27496e8 + 1.59874e8i 0.427726 + 0.536352i
\(669\) −8.02003e7 + 1.00568e8i −0.267854 + 0.335878i
\(670\) −6.71196e7 3.23231e7i −0.223164 0.107470i
\(671\) 1.67972e8 3.83385e7i 0.555993 0.126902i
\(672\) 1.97500e8 4.50781e7i 0.650817 0.148545i
\(673\) 2.65243e8 + 2.11525e8i 0.870161 + 0.693930i 0.953110 0.302624i \(-0.0978626\pi\)
−0.0829494 + 0.996554i \(0.526434\pi\)
\(674\) 1.38844e6 + 2.88312e6i 0.00453468 + 0.00941636i
\(675\) 6.78965e7 + 1.54969e7i 0.220768 + 0.0503888i
\(676\) 1.12620e8 5.42349e7i 0.364565 0.175565i
\(677\) −3.29730e7 + 2.62951e7i −0.106266 + 0.0847441i −0.675181 0.737652i \(-0.735935\pi\)
0.568915 + 0.822396i \(0.307363\pi\)
\(678\) 5.33459e7 1.21758e7i 0.171164 0.0390670i
\(679\) 2.94891e8 2.35168e8i 0.942003 0.751222i
\(680\) 1.41585e7 6.20325e7i 0.0450288 0.197284i
\(681\) −1.31731e8 −0.417106
\(682\) 4.50033e7i 0.141870i
\(683\) 4.50558e7 1.97402e8i 0.141413 0.619570i −0.853695 0.520774i \(-0.825644\pi\)
0.995108 0.0987964i \(-0.0314993\pi\)
\(684\) 3.31511e7 + 2.64371e7i 0.103593 + 0.0826125i
\(685\) 1.25339e8 + 6.03601e7i 0.389955 + 0.187793i
\(686\) −1.02436e8 + 4.93308e7i −0.317309 + 0.152808i
\(687\) 4.31229e8i 1.32996i
\(688\) 1.70959e8 + 1.47489e8i 0.524960 + 0.452893i
\(689\) 6.26777e7 0.191627
\(690\) 3.03100e7 + 6.29393e7i 0.0922653 + 0.191591i
\(691\) 1.29815e8 2.69564e8i 0.393451 0.817010i −0.606311 0.795227i \(-0.707351\pi\)
0.999763 0.0217828i \(-0.00693424\pi\)
\(692\) 2.31013e8 2.89681e8i 0.697136 0.874181i
\(693\) −1.35695e7 3.09715e6i −0.0407722 0.00930599i
\(694\) 5.28508e7 0.158115
\(695\) 4.84299e8i 1.44264i
\(696\) −3.38493e7 7.72588e6i −0.100397 0.0229150i
\(697\) −1.12836e8 1.41492e8i −0.333234 0.417862i
\(698\) 2.07580e7 + 9.09468e7i 0.0610407 + 0.267437i
\(699\) 2.16188e8 + 2.71091e8i 0.632995 + 0.793750i
\(700\) −2.40260e7 4.98904e7i −0.0700465 0.145453i
\(701\) 4.96322e7 2.17453e8i 0.144082 0.631264i −0.850380 0.526168i \(-0.823628\pi\)
0.994462 0.105095i \(-0.0335147\pi\)
\(702\) 7.18588e7 3.46054e7i 0.207715 0.100030i
\(703\) −7.29676e8 + 9.14984e8i −2.10022 + 2.63359i
\(704\) −2.28311e7 1.00029e8i −0.0654347 0.286688i
\(705\) 4.24005e7 + 1.85769e8i 0.121005 + 0.530158i
\(706\) −8.34723e7 + 1.73332e8i −0.237208 + 0.492566i
\(707\) −1.45869e8 1.16327e8i −0.412767 0.329171i
\(708\) 1.18184e8 9.42488e7i 0.333012 0.265568i
\(709\) 3.40089e8 + 1.63778e8i 0.954231 + 0.459534i 0.845168 0.534501i \(-0.179501\pi\)
0.109064 + 0.994035i \(0.465215\pi\)
\(710\) 5.76527e7 1.19717e8i 0.161081 0.334488i
\(711\) −7.08135e6 8.87974e6i −0.0197019 0.0247054i
\(712\) −9.93657e6 + 1.24601e7i −0.0275294 + 0.0345208i
\(713\) 1.14774e8 + 5.52722e7i 0.316646 + 0.152489i
\(714\) 2.70230e7 6.16781e6i 0.0742400 0.0169448i
\(715\) 2.05697e8 4.69490e7i 0.562743 0.128442i
\(716\) 3.82408e8 + 3.04960e8i 1.04181 + 0.830814i
\(717\) −3.11262e8 6.46342e8i −0.844439 1.75350i
\(718\) 1.95848e8 + 4.47011e7i 0.529111 + 0.120766i
\(719\) −1.05406e8 + 5.07609e7i −0.283582 + 0.136566i −0.570268 0.821459i \(-0.693161\pi\)
0.286686 + 0.958025i \(0.407446\pi\)
\(720\) 1.75694e7 1.40111e7i 0.0470716 0.0375383i
\(721\) −1.43043e8 + 3.26485e7i −0.381645 + 0.0871080i
\(722\) 2.49226e8 1.98751e8i 0.662189 0.528078i
\(723\) 756471. 3.31432e6i 0.00200160 0.00876959i
\(724\) 4.26507e8 1.12386
\(725\) 1.45013e7i 0.0380533i
\(726\) −1.46144e7 + 6.40298e7i −0.0381919 + 0.167329i
\(727\) 4.94235e8 + 3.94140e8i 1.28627 + 1.02576i 0.997664 + 0.0683133i \(0.0217618\pi\)
0.288602 + 0.957449i \(0.406810\pi\)
\(728\) −1.21045e8 5.82923e7i −0.313728 0.151083i
\(729\) 3.17705e8 1.52999e8i 0.820052 0.394916i
\(730\) 2.94249e7i 0.0756390i
\(731\) 8.72928e7 + 7.53091e7i 0.223474 + 0.192795i
\(732\) −2.95961e8 −0.754572
\(733\) −2.82628e8 5.86883e8i −0.717635 1.49018i −0.865358 0.501155i \(-0.832909\pi\)
0.147723 0.989029i \(-0.452806\pi\)
\(734\) −6.64377e7 + 1.37959e8i −0.168007 + 0.348869i
\(735\) −1.19289e8 + 1.49584e8i −0.300427 + 0.376724i
\(736\) −1.85221e8 4.22755e7i −0.464576 0.106037i
\(737\) −1.92174e8 −0.480057
\(738\) 1.85032e7i 0.0460338i
\(739\) 4.17679e7 + 9.53325e6i 0.103493 + 0.0236215i 0.273954 0.961743i \(-0.411669\pi\)
−0.170461 + 0.985364i \(0.554526\pi\)
\(740\) 4.45818e8 + 5.59039e8i 1.10018 + 1.37958i
\(741\) −1.31998e8 5.78322e8i −0.324424 1.42140i
\(742\) 1.63926e7 + 2.05556e7i 0.0401268 + 0.0503175i
\(743\) −1.28142e8 2.66089e8i −0.312409 0.648724i 0.684351 0.729153i \(-0.260086\pi\)
−0.996760 + 0.0804281i \(0.974371\pi\)
\(744\) −3.64435e7 + 1.59669e8i −0.0884913 + 0.387706i
\(745\) 4.64133e8 2.23515e8i 1.12247 0.540552i
\(746\) 3.01057e7 3.77514e7i 0.0725158 0.0909320i
\(747\) −1.94019e6 8.50054e6i −0.00465461 0.0203932i
\(748\) −1.72401e7 7.55337e7i −0.0411940 0.180483i
\(749\) 3.12635e7 6.49193e7i 0.0744032 0.154500i
\(750\) −9.46446e7 7.54765e7i −0.224343 0.178907i
\(751\) −2.06317e8 + 1.64532e8i −0.487097 + 0.388447i −0.836015 0.548706i \(-0.815120\pi\)
0.348918 + 0.937153i \(0.386549\pi\)
\(752\) −1.25111e8 6.02503e7i −0.294199 0.141679i
\(753\) 2.25135e8 4.67497e8i 0.527300 1.09495i
\(754\) 1.03545e7 + 1.29842e7i 0.0241556 + 0.0302901i
\(755\) −3.06212e8 + 3.83978e8i −0.711510 + 0.892206i
\(756\) −2.54306e8 1.22467e8i −0.588561 0.283436i