Properties

Label 43.7.f.a.2.19
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 2.19
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.19

$q$-expansion

\(f(q)\) \(=\) \(q+(5.62961 + 11.6900i) q^{2} +(-16.3881 + 34.0303i) q^{3} +(-65.0604 + 81.5832i) q^{4} +(15.2899 + 3.48982i) q^{5} -490.074 q^{6} +124.671i q^{7} +(-510.398 - 116.495i) q^{8} +(-434.969 - 545.434i) q^{9} +O(q^{10})\) \(q+(5.62961 + 11.6900i) q^{2} +(-16.3881 + 34.0303i) q^{3} +(-65.0604 + 81.5832i) q^{4} +(15.2899 + 3.48982i) q^{5} -490.074 q^{6} +124.671i q^{7} +(-510.398 - 116.495i) q^{8} +(-434.969 - 545.434i) q^{9} +(45.2802 + 198.386i) q^{10} +(726.508 + 911.012i) q^{11} +(-1710.08 - 3551.03i) q^{12} +(539.169 - 2362.25i) q^{13} +(-1457.40 + 701.847i) q^{14} +(-369.333 + 463.130i) q^{15} +(-25.4462 - 111.487i) q^{16} +(-273.205 - 1196.99i) q^{17} +(3927.42 - 8155.37i) q^{18} +(3350.05 + 2671.58i) q^{19} +(-1279.48 + 1020.35i) q^{20} +(-4242.58 - 2043.12i) q^{21} +(-6559.78 + 13621.5i) q^{22} +(3335.86 + 4183.03i) q^{23} +(12328.8 - 15459.9i) q^{24} +(-13856.0 - 6672.72i) q^{25} +(30650.1 - 6995.68i) q^{26} +(-1154.95 + 263.610i) q^{27} +(-10171.0 - 8111.12i) q^{28} +(-4817.00 - 10002.6i) q^{29} +(-7493.19 - 1710.27i) q^{30} +(-31915.8 + 15369.8i) q^{31} +(-25035.6 + 19965.2i) q^{32} +(-42908.2 + 9793.51i) q^{33} +(12454.8 - 9932.34i) q^{34} +(-435.079 + 1906.20i) q^{35} +72797.5 q^{36} +52431.9i q^{37} +(-12371.3 + 54202.1i) q^{38} +(71552.3 + 57061.0i) q^{39} +(-7397.39 - 3562.40i) q^{40} +(73351.9 - 35324.4i) q^{41} -61097.8i q^{42} +(-5628.06 + 79307.6i) q^{43} -121590. q^{44} +(-4747.17 - 9857.60i) q^{45} +(-30120.1 + 62545.0i) q^{46} +(86720.4 - 108744. i) q^{47} +(4210.97 + 961.125i) q^{48} +102106. q^{49} -199542. i q^{50} +(45211.2 + 10319.2i) q^{51} +(157642. + 197676. i) q^{52} +(27665.2 + 121209. i) q^{53} +(-9583.54 - 12017.4i) q^{54} +(7928.98 + 16464.7i) q^{55} +(14523.5 - 63631.6i) q^{56} +(-145816. + 70221.2i) q^{57} +(89812.8 - 112622. i) q^{58} +(55211.3 + 241896. i) q^{59} +(-13754.6 - 60262.8i) q^{60} +(4773.52 - 9912.32i) q^{61} +(-359347. - 286570. i) q^{62} +(67999.5 - 54227.8i) q^{63} +(-380929. - 183446. i) q^{64} +(16487.7 - 34237.1i) q^{65} +(-356043. - 446463. i) q^{66} +(188780. - 236722. i) q^{67} +(115429. + 55587.6i) q^{68} +(-197019. + 44968.2i) q^{69} +(-24732.9 + 5645.11i) q^{70} +(-490761. - 391368. i) q^{71} +(158467. + 329060. i) q^{72} +(-59079.5 - 13484.5i) q^{73} +(-612930. + 295171. i) q^{74} +(454150. - 362172. i) q^{75} +(-435912. + 99494.0i) q^{76} +(-113576. + 90574.2i) q^{77} +(-264233. + 1.15768e6i) q^{78} +750170. q^{79} -1793.43i q^{80} +(123126. - 539449. i) q^{81} +(825886. + 658622. i) q^{82} +(616088. + 296692. i) q^{83} +(442709. - 213197. i) q^{84} -19255.3i q^{85} +(-958790. + 380679. i) q^{86} +419334. q^{87} +(-264680. - 549613. i) q^{88} +(23207.2 - 48190.2i) q^{89} +(88510.7 - 110989. i) q^{90} +(294503. + 67218.5i) q^{91} -558297. q^{92} -1.33799e6i q^{93} +(1.75942e6 + 401576. i) q^{94} +(41898.7 + 52539.3i) q^{95} +(-269136. - 1.17916e6i) q^{96} +(141052. + 176874. i) q^{97} +(574818. + 1.19362e6i) q^{98} +(180888. - 792524. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 5.62961 + 11.6900i 0.703701 + 1.46125i 0.879043 + 0.476743i \(0.158183\pi\)
−0.175341 + 0.984508i \(0.556103\pi\)
\(3\) −16.3881 + 34.0303i −0.606969 + 1.26038i 0.340413 + 0.940276i \(0.389433\pi\)
−0.947381 + 0.320107i \(0.896281\pi\)
\(4\) −65.0604 + 81.5832i −1.01657 + 1.27474i
\(5\) 15.2899 + 3.48982i 0.122319 + 0.0279186i 0.283242 0.959048i \(-0.408590\pi\)
−0.160923 + 0.986967i \(0.551447\pi\)
\(6\) −490.074 −2.26886
\(7\) 124.671i 0.363471i 0.983347 + 0.181736i \(0.0581715\pi\)
−0.983347 + 0.181736i \(0.941829\pi\)
\(8\) −510.398 116.495i −0.996870 0.227529i
\(9\) −434.969 545.434i −0.596665 0.748194i
\(10\) 45.2802 + 198.386i 0.0452802 + 0.198386i
\(11\) 726.508 + 911.012i 0.545836 + 0.684457i 0.975869 0.218356i \(-0.0700694\pi\)
−0.430033 + 0.902813i \(0.641498\pi\)
\(12\) −1710.08 3551.03i −0.989632 2.05499i
\(13\) 539.169 2362.25i 0.245411 1.07522i −0.690597 0.723240i \(-0.742652\pi\)
0.936008 0.351978i \(-0.114491\pi\)
\(14\) −1457.40 + 701.847i −0.531123 + 0.255775i
\(15\) −369.333 + 463.130i −0.109432 + 0.137224i
\(16\) −25.4462 111.487i −0.00621246 0.0272186i
\(17\) −273.205 1196.99i −0.0556085 0.243637i 0.939483 0.342595i \(-0.111306\pi\)
−0.995092 + 0.0989586i \(0.968449\pi\)
\(18\) 3927.42 8155.37i 0.673426 1.39838i
\(19\) 3350.05 + 2671.58i 0.488417 + 0.389500i 0.836502 0.547963i \(-0.184597\pi\)
−0.348085 + 0.937463i \(0.613168\pi\)
\(20\) −1279.48 + 1020.35i −0.159935 + 0.127544i
\(21\) −4242.58 2043.12i −0.458113 0.220616i
\(22\) −6559.78 + 13621.5i −0.616058 + 1.27926i
\(23\) 3335.86 + 4183.03i 0.274173 + 0.343801i 0.899786 0.436332i \(-0.143723\pi\)
−0.625613 + 0.780133i \(0.715151\pi\)
\(24\) 12328.8 15459.9i 0.891843 1.11834i
\(25\) −13856.0 6672.72i −0.886786 0.427054i
\(26\) 30650.1 6995.68i 1.74386 0.398024i
\(27\) −1154.95 + 263.610i −0.0586777 + 0.0133928i
\(28\) −10171.0 8111.12i −0.463330 0.369494i
\(29\) −4817.00 10002.6i −0.197507 0.410128i 0.778568 0.627560i \(-0.215946\pi\)
−0.976075 + 0.217432i \(0.930232\pi\)
\(30\) −7493.19 1710.27i −0.277526 0.0633434i
\(31\) −31915.8 + 15369.8i −1.07132 + 0.515923i −0.884533 0.466477i \(-0.845523\pi\)
−0.186791 + 0.982400i \(0.559809\pi\)
\(32\) −25035.6 + 19965.2i −0.764026 + 0.609291i
\(33\) −42908.2 + 9793.51i −1.19398 + 0.272519i
\(34\) 12454.8 9932.34i 0.316883 0.252706i
\(35\) −435.079 + 1906.20i −0.0101476 + 0.0444596i
\(36\) 72797.5 1.56030
\(37\) 52431.9i 1.03512i 0.855647 + 0.517560i \(0.173160\pi\)
−0.855647 + 0.517560i \(0.826840\pi\)
\(38\) −12371.3 + 54202.1i −0.225457 + 0.987791i
\(39\) 71552.3 + 57061.0i 1.20623 + 0.961935i
\(40\) −7397.39 3562.40i −0.115584 0.0556624i
\(41\) 73351.9 35324.4i 1.06429 0.512535i 0.182028 0.983293i \(-0.441734\pi\)
0.882262 + 0.470759i \(0.156020\pi\)
\(42\) 61097.8i 0.824666i
\(43\) −5628.06 + 79307.6i −0.0707870 + 0.997491i
\(44\) −121590. −1.42738
\(45\) −4747.17 9857.60i −0.0520952 0.108177i
\(46\) −30120.1 + 62545.0i −0.309445 + 0.642568i
\(47\) 86720.4 108744.i 0.835272 1.04740i −0.162881 0.986646i \(-0.552079\pi\)
0.998153 0.0607521i \(-0.0193499\pi\)
\(48\) 4210.97 + 961.125i 0.0380766 + 0.00869073i
\(49\) 102106. 0.867889
\(50\) 199542.i 1.59634i
\(51\) 45211.2 + 10319.2i 0.340828 + 0.0777919i
\(52\) 157642. + 197676.i 1.12114 + 1.40587i
\(53\) 27665.2 + 121209.i 0.185826 + 0.814156i 0.978786 + 0.204883i \(0.0656814\pi\)
−0.792961 + 0.609273i \(0.791461\pi\)
\(54\) −9583.54 12017.4i −0.0608618 0.0763183i
\(55\) 7928.98 + 16464.7i 0.0476573 + 0.0989613i
\(56\) 14523.5 63631.6i 0.0827003 0.362334i
\(57\) −145816. + 70221.2i −0.787373 + 0.379179i
\(58\) 89812.8 112622.i 0.460314 0.577215i
\(59\) 55211.3 + 241896.i 0.268826 + 1.17780i 0.911381 + 0.411565i \(0.135018\pi\)
−0.642554 + 0.766240i \(0.722125\pi\)
\(60\) −13754.6 60262.8i −0.0636787 0.278995i
\(61\) 4773.52 9912.32i 0.0210305 0.0436703i −0.890189 0.455591i \(-0.849428\pi\)
0.911219 + 0.411921i \(0.135142\pi\)
\(62\) −359347. 286570.i −1.50778 1.20242i
\(63\) 67999.5 54227.8i 0.271947 0.216871i
\(64\) −380929. 183446.i −1.45313 0.699789i
\(65\) 16487.7 34237.1i 0.0600371 0.124668i
\(66\) −356043. 446463.i −1.23843 1.55294i
\(67\) 188780. 236722.i 0.627669 0.787072i −0.361732 0.932282i \(-0.617814\pi\)
0.989401 + 0.145210i \(0.0463858\pi\)
\(68\) 115429. + 55587.6i 0.367103 + 0.176787i
\(69\) −197019. + 44968.2i −0.599736 + 0.136886i
\(70\) −24732.9 + 5645.11i −0.0721075 + 0.0164581i
\(71\) −490761. 391368.i −1.37118 1.09348i −0.985282 0.170939i \(-0.945320\pi\)
−0.385899 0.922541i \(-0.626109\pi\)
\(72\) 158467. + 329060.i 0.424562 + 0.881611i
\(73\) −59079.5 13484.5i −0.151869 0.0346630i 0.145911 0.989298i \(-0.453389\pi\)
−0.297779 + 0.954635i \(0.596246\pi\)
\(74\) −612930. + 295171.i −1.51257 + 0.728415i
\(75\) 454150. 362172.i 1.07650 0.858482i
\(76\) −435912. + 99494.0i −0.993020 + 0.226650i
\(77\) −113576. + 90574.2i −0.248780 + 0.198396i
\(78\) −264233. + 1.15768e6i −0.556804 + 2.43952i
\(79\) 750170. 1.52152 0.760761 0.649032i \(-0.224826\pi\)
0.760761 + 0.649032i \(0.224826\pi\)
\(80\) 1793.43i 0.00350280i
\(81\) 123126. 539449.i 0.231683 1.01507i
\(82\) 825886. + 658622.i 1.49788 + 1.19452i
\(83\) 616088. + 296692.i 1.07748 + 0.518886i 0.886510 0.462710i \(-0.153123\pi\)
0.190968 + 0.981596i \(0.438837\pi\)
\(84\) 442709. 213197.i 0.746931 0.359703i
\(85\) 19255.3i 0.0313540i
\(86\) −958790. + 380679.i −1.50740 + 0.598499i
\(87\) 419334. 0.636799
\(88\) −264680. 549613.i −0.388394 0.806509i
\(89\) 23207.2 48190.2i 0.0329195 0.0683579i −0.883861 0.467750i \(-0.845065\pi\)
0.916780 + 0.399392i \(0.130779\pi\)
\(90\) 88510.7 110989.i 0.121414 0.152248i
\(91\) 294503. + 67218.5i 0.390811 + 0.0892000i
\(92\) −558297. −0.716972
\(93\) 1.33799e6i 1.66343i
\(94\) 1.75942e6 + 401576.i 2.11829 + 0.483487i
\(95\) 41898.7 + 52539.3i 0.0488686 + 0.0612793i
\(96\) −269136. 1.17916e6i −0.304200 1.33279i
\(97\) 141052. + 176874.i 0.154548 + 0.193798i 0.853078 0.521784i \(-0.174733\pi\)
−0.698529 + 0.715581i \(0.746162\pi\)
\(98\) 574818. + 1.19362e6i 0.610735 + 1.26820i
\(99\) 180888. 792524.i 0.186425 0.816783i
\(100\) 1.44586e6 696290.i 1.44586 0.696290i
\(101\) −32552.2 + 40819.2i −0.0315949 + 0.0396187i −0.797378 0.603480i \(-0.793780\pi\)
0.765783 + 0.643099i \(0.222352\pi\)
\(102\) 133890. + 586613.i 0.126168 + 0.552778i
\(103\) 404955. + 1.77423e6i 0.370592 + 1.62367i 0.725120 + 0.688622i \(0.241784\pi\)
−0.354529 + 0.935045i \(0.615359\pi\)
\(104\) −550381. + 1.14288e6i −0.489287 + 1.01601i
\(105\) −57738.6 46045.0i −0.0498768 0.0397754i
\(106\) −1.26119e6 + 1.00577e6i −1.05892 + 0.844461i
\(107\) −13750.3 6621.80i −0.0112243 0.00540536i 0.428263 0.903654i \(-0.359126\pi\)
−0.439487 + 0.898249i \(0.644840\pi\)
\(108\) 53635.5 111375.i 0.0425776 0.0884133i
\(109\) 664115. + 832774.i 0.512818 + 0.643054i 0.969067 0.246798i \(-0.0793786\pi\)
−0.456248 + 0.889852i \(0.650807\pi\)
\(110\) −147835. + 185380.i −0.111071 + 0.139278i
\(111\) −1.78428e6 859262.i −1.30465 0.628285i
\(112\) 13899.2 3172.40i 0.00989316 0.00225805i
\(113\) −2.27583e6 + 519443.i −1.57726 + 0.360000i −0.919458 0.393187i \(-0.871372\pi\)
−0.657806 + 0.753188i \(0.728515\pi\)
\(114\) −1.64177e6 1.30927e6i −1.10815 0.883720i
\(115\) 36406.9 + 75599.8i 0.0239382 + 0.0497081i
\(116\) 1.12944e6 + 257788.i 0.723585 + 0.165154i
\(117\) −1.52297e6 + 733425.i −0.950900 + 0.457929i
\(118\) −2.51695e6 + 2.00720e6i −1.53190 + 1.22165i
\(119\) 149229. 34060.6i 0.0885550 0.0202121i
\(120\) 242459. 193355.i 0.140312 0.111895i
\(121\) 92079.9 403428.i 0.0519767 0.227725i
\(122\) 142748. 0.0786124
\(123\) 3.07509e6i 1.65251i
\(124\) 822536. 3.60376e6i 0.431409 1.89013i
\(125\) −380158. 303166.i −0.194641 0.155221i
\(126\) 1.01673e6 + 489634.i 0.508272 + 0.244771i
\(127\) 1.69363e6 815608.i 0.826812 0.398172i 0.0278933 0.999611i \(-0.491120\pi\)
0.798918 + 0.601439i \(0.205406\pi\)
\(128\) 3.43639e6i 1.63860i
\(129\) −2.60663e6 1.49123e6i −1.21426 0.694665i
\(130\) 493051. 0.224420
\(131\) 704766. + 1.46346e6i 0.313495 + 0.650980i 0.996867 0.0790904i \(-0.0252016\pi\)
−0.683372 + 0.730070i \(0.739487\pi\)
\(132\) 1.99264e6 4.13776e6i 0.866377 1.79905i
\(133\) −333067. + 417653.i −0.141572 + 0.177526i
\(134\) 3.83004e6 + 874182.i 1.59180 + 0.363318i
\(135\) −18579.1 −0.00755132
\(136\) 642767.i 0.255527i
\(137\) 1.68916e6 + 385540.i 0.656916 + 0.149937i 0.537970 0.842964i \(-0.319191\pi\)
0.118946 + 0.992901i \(0.462049\pi\)
\(138\) −1.63482e6 2.05000e6i −0.622059 0.780038i
\(139\) −954744. 4.18301e6i −0.355502 1.55756i −0.764256 0.644913i \(-0.776894\pi\)
0.408754 0.912645i \(-0.365963\pi\)
\(140\) −127208. 159514.i −0.0463585 0.0581318i
\(141\) 2.27941e6 + 4.73324e6i 0.813139 + 1.68850i
\(142\) 1.81231e6 7.94025e6i 0.632947 2.77312i
\(143\) 2.54375e6 1.22501e6i 0.869895 0.418919i
\(144\) −49740.6 + 62372.7i −0.0166580 + 0.0208885i
\(145\) −38744.3 169750.i −0.0127088 0.0556807i
\(146\) −174961. 766552.i −0.0562188 0.246311i
\(147\) −1.67333e6 + 3.47471e6i −0.526781 + 1.09387i
\(148\) −4.27757e6 3.41124e6i −1.31951 1.05227i
\(149\) −3.05182e6 + 2.43374e6i −0.922570 + 0.735725i −0.964690 0.263387i \(-0.915160\pi\)
0.0421197 + 0.999113i \(0.486589\pi\)
\(150\) 6.79048e6 + 3.27012e6i 2.01199 + 0.968926i
\(151\) −1.11263e6 + 2.31039e6i −0.323161 + 0.671051i −0.997743 0.0671494i \(-0.978610\pi\)
0.674582 + 0.738200i \(0.264324\pi\)
\(152\) −1.39863e6 1.75383e6i −0.398266 0.499410i
\(153\) −534042. + 669667.i −0.149108 + 0.186976i
\(154\) −1.69820e6 817812.i −0.464973 0.223919i
\(155\) −541628. + 123623.i −0.145448 + 0.0331974i
\(156\) −9.31045e6 + 2.12505e6i −2.45243 + 0.559751i
\(157\) −1.17904e6 940250.i −0.304669 0.242965i 0.459206 0.888330i \(-0.348134\pi\)
−0.763875 + 0.645365i \(0.776705\pi\)
\(158\) 4.22316e6 + 8.76949e6i 1.07070 + 2.22333i
\(159\) −4.57817e6 1.04494e6i −1.13894 0.259955i
\(160\) −452468. + 217897.i −0.110466 + 0.0531975i
\(161\) −521501. + 415883.i −0.124962 + 0.0996538i
\(162\) 6.99931e6 1.59755e6i 1.64631 0.375758i
\(163\) 3.35392e6 2.67466e6i 0.774443 0.617597i −0.154427 0.988004i \(-0.549353\pi\)
0.928870 + 0.370407i \(0.120782\pi\)
\(164\) −1.89043e6 + 8.28251e6i −0.428577 + 1.87772i
\(165\) −690240. −0.153656
\(166\) 8.87234e6i 1.93961i
\(167\) −20918.7 + 91650.8i −0.00449143 + 0.0196783i −0.977124 0.212670i \(-0.931784\pi\)
0.972633 + 0.232349i \(0.0746411\pi\)
\(168\) 1.92739e6 + 1.53704e6i 0.406483 + 0.324159i
\(169\) −940729. 453031.i −0.194897 0.0938573i
\(170\) 225094. 108400.i 0.0458161 0.0220639i
\(171\) 2.98928e6i 0.597832i
\(172\) −6.10400e6 5.61894e6i −1.19958 1.10425i
\(173\) 5.17123e6 0.998747 0.499373 0.866387i \(-0.333564\pi\)
0.499373 + 0.866387i \(0.333564\pi\)
\(174\) 2.36069e6 + 4.90202e6i 0.448116 + 0.930523i
\(175\) 831892. 1.72744e6i 0.155222 0.322321i
\(176\) 83079.4 104178.i 0.0152390 0.0191090i
\(177\) −9.13663e6 2.08538e6i −1.64765 0.376066i
\(178\) 693992. 0.123054
\(179\) 9.11574e6i 1.58940i −0.607004 0.794699i \(-0.707629\pi\)
0.607004 0.794699i \(-0.292371\pi\)
\(180\) 1.11307e6 + 254050.i 0.190855 + 0.0435615i
\(181\) −3.50819e6 4.39913e6i −0.591626 0.741875i 0.392421 0.919786i \(-0.371638\pi\)
−0.984047 + 0.177911i \(0.943066\pi\)
\(182\) 872155. + 3.82116e6i 0.144670 + 0.633842i
\(183\) 259091. + 324889.i 0.0422764 + 0.0530130i
\(184\) −1.21531e6 2.52362e6i −0.195090 0.405108i
\(185\) −182978. + 801680.i −0.0288991 + 0.126615i
\(186\) 1.56411e7 7.53236e6i 2.43069 1.17056i
\(187\) 891985. 1.11851e6i 0.136406 0.171048i
\(188\) 3.22961e6 + 1.41499e7i 0.486046 + 2.12951i
\(189\) −32864.5 143989.i −0.00486790 0.0213276i
\(190\) −378312. + 785572.i −0.0551555 + 0.114532i
\(191\) −3.83739e6 3.06022e6i −0.550727 0.439190i 0.308175 0.951330i \(-0.400282\pi\)
−0.858902 + 0.512139i \(0.828853\pi\)
\(192\) 1.24854e7 9.95680e6i 1.76400 1.40675i
\(193\) 1.79158e6 + 862779.i 0.249209 + 0.120013i 0.554319 0.832304i \(-0.312979\pi\)
−0.305110 + 0.952317i \(0.598693\pi\)
\(194\) −1.27359e6 + 2.64463e6i −0.174431 + 0.362210i
\(195\) 894896. + 1.12216e6i 0.120689 + 0.151340i
\(196\) −6.64308e6 + 8.33015e6i −0.882269 + 1.10633i
\(197\) 1.24006e6 + 597179.i 0.162197 + 0.0781099i 0.513221 0.858257i \(-0.328452\pi\)
−0.351024 + 0.936366i \(0.614166\pi\)
\(198\) 1.02829e7 2.34701e6i 1.32471 0.302357i
\(199\) −4.20417e6 + 959575.i −0.533484 + 0.121764i −0.480772 0.876846i \(-0.659644\pi\)
−0.0527117 + 0.998610i \(0.516786\pi\)
\(200\) 6.29475e6 + 5.01990e6i 0.786844 + 0.627487i
\(201\) 4.96199e6 + 1.03037e7i 0.611037 + 1.26883i
\(202\) −660433. 150740.i −0.0801262 0.0182883i
\(203\) 1.24703e6 600539.i 0.149070 0.0717882i
\(204\) −3.78333e6 + 3.01711e6i −0.445640 + 0.355386i
\(205\) 1.24482e6 284122.i 0.144492 0.0329795i
\(206\) −1.84610e7 + 1.47221e7i −2.11180 + 1.68410i
\(207\) 830573. 3.63898e6i 0.0936411 0.410269i
\(208\) −277081. −0.0307905
\(209\) 4.99286e6i 0.546904i
\(210\) 213221. 934181.i 0.0230235 0.100873i
\(211\) −6.76856e6 5.39775e6i −0.720525 0.574599i 0.193090 0.981181i \(-0.438149\pi\)
−0.913614 + 0.406582i \(0.866721\pi\)
\(212\) −1.16885e7 5.62890e6i −1.22674 0.590767i
\(213\) 2.13611e7 1.02869e7i 2.21047 1.06450i
\(214\) 198019.i 0.0202053i
\(215\) −362822. + 1.19297e6i −0.0365072 + 0.120036i
\(216\) 620194. 0.0615413
\(217\) −1.91617e6 3.97896e6i −0.187523 0.389395i
\(218\) −5.99642e6 + 1.24517e7i −0.578792 + 1.20187i
\(219\) 1.42709e6 1.78951e6i 0.135868 0.170373i
\(220\) −1.85911e6 424329.i −0.174597 0.0398506i
\(221\) −2.97489e6 −0.275610
\(222\) 2.56955e7i 2.34854i
\(223\) 1.73396e7 + 3.95766e6i 1.56360 + 0.356881i 0.914745 0.404031i \(-0.132391\pi\)
0.648854 + 0.760913i \(0.275248\pi\)
\(224\) −2.48908e6 3.12121e6i −0.221460 0.277702i
\(225\) 2.38742e6 + 1.04600e7i 0.209595 + 0.918296i
\(226\) −1.88843e7 2.36802e7i −1.63597 2.05145i
\(227\) −9.05346e6 1.87997e7i −0.773993 1.60721i −0.794380 0.607421i \(-0.792204\pi\)
0.0203871 0.999792i \(-0.493510\pi\)
\(228\) 3.75797e6 1.64648e7i 0.317066 1.38915i
\(229\) −1.66489e6 + 801767.i −0.138637 + 0.0667639i −0.501916 0.864916i \(-0.667371\pi\)
0.363279 + 0.931680i \(0.381657\pi\)
\(230\) −678805. + 851195.i −0.0557907 + 0.0699593i
\(231\) −1.22096e6 5.34939e6i −0.0990528 0.433979i
\(232\) 1.29333e6 + 5.66647e6i 0.103573 + 0.453783i
\(233\) 2.56917e6 5.33493e6i 0.203107 0.421756i −0.774389 0.632710i \(-0.781943\pi\)
0.977496 + 0.210954i \(0.0676570\pi\)
\(234\) −1.71475e7 1.36747e7i −1.33830 1.06726i
\(235\) 1.70545e6 1.36005e6i 0.131412 0.104797i
\(236\) −2.33268e7 1.12336e7i −1.77467 0.854637i
\(237\) −1.22939e7 + 2.55285e7i −0.923516 + 1.91770i
\(238\) 1.23827e6 + 1.55274e6i 0.0918512 + 0.115178i
\(239\) −1.55923e7 + 1.95522e7i −1.14213 + 1.43219i −0.257272 + 0.966339i \(0.582824\pi\)
−0.884863 + 0.465852i \(0.845748\pi\)
\(240\) 61031.2 + 29391.1i 0.00441487 + 0.00212609i
\(241\) 1.95044e7 4.45174e6i 1.39342 0.318038i 0.541053 0.840989i \(-0.318026\pi\)
0.852363 + 0.522951i \(0.175169\pi\)
\(242\) 5.23446e6 1.19473e6i 0.369339 0.0842993i
\(243\) 1.56646e7 + 1.24921e7i 1.09169 + 0.870598i
\(244\) 498112. + 1.03434e6i 0.0342892 + 0.0712022i
\(245\) 1.56120e6 + 356333.i 0.106160 + 0.0242302i
\(246\) −3.59479e7 + 1.73116e7i −2.41473 + 1.16287i
\(247\) 8.11719e6 6.47324e6i 0.538660 0.429567i
\(248\) 1.80803e7 4.12670e6i 1.18536 0.270550i
\(249\) −2.01931e7 + 1.61034e7i −1.30799 + 1.04309i
\(250\) 1.40387e6 6.15076e6i 0.0898477 0.393648i
\(251\) 2.52411e7 1.59620 0.798100 0.602525i \(-0.205839\pi\)
0.798100 + 0.602525i \(0.205839\pi\)
\(252\) 9.07571e6i 0.567125i
\(253\) −1.38727e6 + 6.07801e6i −0.0856640 + 0.375319i
\(254\) 1.90689e7 + 1.52070e7i 1.16366 + 0.927986i
\(255\) 655264. + 315559.i 0.0395181 + 0.0190309i
\(256\) 1.57920e7 7.60504e6i 0.941279 0.453296i
\(257\) 6.82534e6i 0.402092i 0.979582 + 0.201046i \(0.0644340\pi\)
−0.979582 + 0.201046i \(0.935566\pi\)
\(258\) 2.75817e6 3.88666e7i 0.160606 2.26317i
\(259\) −6.53672e6 −0.376236
\(260\) 1.72047e6 + 3.57260e6i 0.0978876 + 0.203266i
\(261\) −3.36051e6 + 6.97818e6i −0.189010 + 0.392483i
\(262\) −1.31403e7 + 1.64774e7i −0.730638 + 0.916191i
\(263\) −2.39033e7 5.45576e6i −1.31398 0.299908i −0.492585 0.870264i \(-0.663948\pi\)
−0.821398 + 0.570356i \(0.806805\pi\)
\(264\) 2.30411e7 1.25225
\(265\) 1.94982e6i 0.104775i
\(266\) −6.75741e6 1.54233e6i −0.359034 0.0819471i
\(267\) 1.25961e6 + 1.57950e6i 0.0661761 + 0.0829822i
\(268\) 7.03047e6 + 3.08025e7i 0.365241 + 1.60023i
\(269\) −1.26833e7 1.59044e7i −0.651592 0.817071i 0.340807 0.940133i \(-0.389300\pi\)
−0.992399 + 0.123063i \(0.960728\pi\)
\(270\) −104593. 217190.i −0.00531388 0.0110344i
\(271\) 4.24027e6 1.85778e7i 0.213052 0.933441i −0.749427 0.662086i \(-0.769671\pi\)
0.962479 0.271355i \(-0.0874717\pi\)
\(272\) −126497. + 60917.7i −0.00628598 + 0.00302717i
\(273\) −7.11384e6 + 8.92047e6i −0.349636 + 0.438429i
\(274\) 5.00236e6 + 2.19168e7i 0.243177 + 1.06543i
\(275\) −3.98760e6 1.74708e7i −0.191740 0.840069i
\(276\) 9.14946e6 1.89991e7i 0.435179 0.903659i
\(277\) 1.63834e7 + 1.30653e7i 0.770841 + 0.614725i 0.927885 0.372866i \(-0.121625\pi\)
−0.157044 + 0.987592i \(0.550196\pi\)
\(278\) 4.35245e7 3.47097e7i 2.02581 1.61553i
\(279\) 2.22656e7 + 1.07226e7i 1.02523 + 0.493726i
\(280\) 444126. 922237.i 0.0202317 0.0420115i
\(281\) −6.98205e6 8.75521e6i −0.314676 0.394592i 0.599190 0.800607i \(-0.295489\pi\)
−0.913866 + 0.406015i \(0.866918\pi\)
\(282\) −4.24994e7 + 5.32926e7i −1.89512 + 2.37640i
\(283\) 8.88800e6 + 4.28023e6i 0.392143 + 0.188846i 0.619556 0.784952i \(-0.287313\pi\)
−0.227413 + 0.973798i \(0.573027\pi\)
\(284\) 6.38582e7 1.45752e7i 2.78780 0.636297i
\(285\) −2.47457e6 + 564805.i −0.106897 + 0.0243986i
\(286\) 2.86407e7 + 2.28402e7i 1.22429 + 0.976340i
\(287\) 4.40392e6 + 9.14483e6i 0.186292 + 0.386839i
\(288\) 2.17794e7 + 4.97101e6i 0.911736 + 0.208098i
\(289\) 2.03891e7 9.81885e6i 0.844702 0.406787i
\(290\) 1.76626e6 1.40855e6i 0.0724204 0.0577533i
\(291\) −8.33066e6 + 1.90142e6i −0.338065 + 0.0771612i
\(292\) 4.94385e6 3.94259e6i 0.198571 0.158355i
\(293\) −5.92847e6 + 2.59743e7i −0.235689 + 1.03262i 0.709142 + 0.705066i \(0.249082\pi\)
−0.944831 + 0.327557i \(0.893775\pi\)
\(294\) −5.00396e7 −1.96912
\(295\) 3.89125e6i 0.151574i
\(296\) 6.10805e6 2.67611e7i 0.235520 1.03188i
\(297\) −1.07923e6 860661.i −0.0411952 0.0328521i
\(298\) −4.56310e7 2.19747e7i −1.72429 0.830376i
\(299\) 1.16800e7 5.62478e6i 0.436946 0.210422i
\(300\) 6.06141e7i 2.24497i
\(301\) −9.88732e6 701654.i −0.362559 0.0257290i
\(302\) −3.32722e7 −1.20798
\(303\) −855620. 1.77671e6i −0.0307577 0.0638689i
\(304\) 212601. 441470.i 0.00756735 0.0157138i
\(305\) 107579. 134900.i 0.00379165 0.00475458i
\(306\) −1.08349e7 2.47299e6i −0.378146 0.0863093i
\(307\) 5.30441e7 1.83325 0.916626 0.399746i \(-0.130902\pi\)
0.916626 + 0.399746i \(0.130902\pi\)
\(308\) 1.51587e7i 0.518813i
\(309\) −6.70140e7 1.52955e7i −2.27138 0.518428i
\(310\) −4.49431e6 5.63569e6i −0.150861 0.189174i
\(311\) −3.96040e6 1.73516e7i −0.131661 0.576845i −0.997118 0.0758623i \(-0.975829\pi\)
0.865457 0.500983i \(-0.167028\pi\)
\(312\) −2.98728e7 3.74593e7i −0.983585 1.23338i
\(313\) 1.10616e7 + 2.29696e7i 0.360731 + 0.749065i 0.999798 0.0200854i \(-0.00639382\pi\)
−0.639067 + 0.769151i \(0.720680\pi\)
\(314\) 4.35401e6 1.90762e7i 0.140637 0.616173i
\(315\) 1.22895e6 591833.i 0.0393191 0.0189351i
\(316\) −4.88064e7 + 6.12013e7i −1.54673 + 1.93954i
\(317\) −7.96574e6 3.49002e7i −0.250062 1.09560i −0.931506 0.363725i \(-0.881505\pi\)
0.681444 0.731870i \(-0.261352\pi\)
\(318\) −1.35580e7 5.94014e7i −0.421613 1.84721i
\(319\) 5.61291e6 1.16553e7i 0.172908 0.359048i
\(320\) −5.18417e6 4.13424e6i −0.158208 0.126167i
\(321\) 450684. 359408.i 0.0136256 0.0108661i
\(322\) −7.79753e6 3.75509e6i −0.233555 0.112474i
\(323\) 2.28260e6 4.73986e6i 0.0677363 0.140656i
\(324\) 3.59994e7 + 4.51418e7i 1.05842 + 1.32722i
\(325\) −2.32334e7 + 2.91337e7i −0.676803 + 0.848684i
\(326\) 5.01480e7 + 2.41500e7i 1.44744 + 0.697051i
\(327\) −3.92232e7 + 8.95244e6i −1.12176 + 0.256034i
\(328\) −4.15538e7 + 9.48437e6i −1.17758 + 0.268774i
\(329\) 1.35572e7 + 1.08115e7i 0.380699 + 0.303597i
\(330\) −3.88579e6 8.06892e6i −0.108128 0.224530i
\(331\) 6.49139e7 + 1.48162e7i 1.79000 + 0.408556i 0.983240 0.182318i \(-0.0583602\pi\)
0.806763 + 0.590875i \(0.201217\pi\)
\(332\) −6.42881e7 + 3.09595e7i −1.75677 + 0.846018i
\(333\) 2.85981e7 2.28063e7i 0.774471 0.617620i
\(334\) −1.18916e6 + 271419.i −0.0319155 + 0.00728451i
\(335\) 3.71254e6 2.96065e6i 0.0987500 0.0787505i
\(336\) −119824. + 524984.i −0.00315883 + 0.0138397i
\(337\) −2.23451e7 −0.583838 −0.291919 0.956443i \(-0.594294\pi\)
−0.291919 + 0.956443i \(0.594294\pi\)
\(338\) 1.35475e7i 0.350841i
\(339\) 1.96198e7 8.59600e7i 0.503611 2.20647i
\(340\) 1.57091e6 + 1.25276e6i 0.0399681 + 0.0318735i
\(341\) −3.71892e7 1.79094e7i −0.937895 0.451666i
\(342\) 3.49448e7 1.68285e7i 0.873582 0.420695i
\(343\) 2.73970e7i 0.678924i
\(344\) 1.21115e7 3.98227e7i 0.297524 0.978263i
\(345\) −3.16933e6 −0.0771809
\(346\) 2.91120e7 + 6.04517e7i 0.702820 + 1.45942i
\(347\) 2.02809e7 4.21137e7i 0.485399 1.00794i −0.504133 0.863626i \(-0.668188\pi\)
0.989532 0.144315i \(-0.0460978\pi\)
\(348\) −2.72821e7 + 3.42106e7i −0.647350 + 0.811752i
\(349\) 3.07318e6 + 701434.i 0.0722956 + 0.0165010i 0.258516 0.966007i \(-0.416767\pi\)
−0.186220 + 0.982508i \(0.559624\pi\)
\(350\) 2.48770e7 0.580222
\(351\) 2.87042e6i 0.0663780i
\(352\) −3.63772e7 8.30285e6i −0.834067 0.190370i
\(353\) 1.85369e7 + 2.32446e7i 0.421419 + 0.528442i 0.946541 0.322585i \(-0.104552\pi\)
−0.525122 + 0.851027i \(0.675980\pi\)
\(354\) −2.70576e7 1.18547e8i −0.609929 2.67228i
\(355\) −6.13788e6 7.69666e6i −0.137193 0.172035i
\(356\) 2.42164e6 + 5.02859e6i 0.0536735 + 0.111454i
\(357\) −1.28650e6 + 5.63651e6i −0.0282751 + 0.123881i
\(358\) 1.06563e8 5.13181e7i 2.32251 1.11846i
\(359\) −3.86777e7 + 4.85004e7i −0.835945 + 1.04824i 0.162163 + 0.986764i \(0.448153\pi\)
−0.998108 + 0.0614781i \(0.980419\pi\)
\(360\) 1.27458e6 + 5.58432e6i 0.0273188 + 0.119691i
\(361\) −6.38317e6 2.79665e7i −0.135680 0.594451i
\(362\) 3.16761e7 6.57761e7i 0.667738 1.38657i
\(363\) 1.22198e7 + 9.74495e6i 0.255472 + 0.203732i
\(364\) −2.46444e7 + 1.96533e7i −0.510993 + 0.407503i
\(365\) −856262. 412354.i −0.0176087 0.00847992i
\(366\) −2.33938e6 + 4.85777e6i −0.0477153 + 0.0990818i
\(367\) 902373. + 1.13154e6i 0.0182553 + 0.0228914i 0.790875 0.611977i \(-0.209626\pi\)
−0.772620 + 0.634869i \(0.781054\pi\)
\(368\) 381470. 478348.i 0.00765450 0.00959843i
\(369\) −5.11729e7 2.46436e7i −1.01850 0.490484i
\(370\) −1.04017e7 + 2.37413e6i −0.205353 + 0.0468705i
\(371\) −1.51112e7 + 3.44903e6i −0.295922 + 0.0675423i
\(372\) 1.09157e8 + 8.70502e7i 2.12043 + 1.69099i
\(373\) 2.62679e7 + 5.45459e7i 0.506173 + 1.05108i 0.984901 + 0.173116i \(0.0553835\pi\)
−0.478728 + 0.877963i \(0.658902\pi\)
\(374\) 1.80970e7 + 4.13052e6i 0.345932 + 0.0789568i
\(375\) 1.65469e7 7.96858e6i 0.313779 0.151108i
\(376\) −5.69300e7 + 4.54002e7i −1.07097 + 0.854071i
\(377\) −2.62259e7 + 5.98589e6i −0.489447 + 0.111713i
\(378\) 1.49821e6 1.19479e6i 0.0277395 0.0221215i
\(379\) 9.24107e6 4.04878e7i 0.169748 0.743714i −0.816351 0.577556i \(-0.804007\pi\)
0.986099 0.166158i \(-0.0531363\pi\)
\(380\) −7.01227e6 −0.127793
\(381\) 7.10010e7i 1.28378i
\(382\) 1.41710e7 6.20870e7i 0.254220 1.11381i
\(383\) 2.60782e7 + 2.07967e7i 0.464174 + 0.370167i 0.827473 0.561506i \(-0.189778\pi\)
−0.363298 + 0.931673i \(0.618349\pi\)
\(384\) 1.16942e8 + 5.63161e7i 2.06526 + 0.994578i
\(385\) −2.05266e6 + 988511.i −0.0359696 + 0.0173220i
\(386\) 2.58007e7i 0.448610i
\(387\) 4.57050e7 3.14266e7i 0.788553 0.542206i
\(388\) −2.36069e7 −0.404150
\(389\) −1.96830e7 4.08721e7i −0.334381 0.694350i 0.664202 0.747553i \(-0.268771\pi\)
−0.998584 + 0.0532029i \(0.983057\pi\)
\(390\) −8.08019e6 + 1.67787e7i −0.136216 + 0.282855i
\(391\) 4.09567e6 5.13580e6i 0.0685164 0.0859168i
\(392\) −5.21148e7 1.18949e7i −0.865172 0.197470i
\(393\) −6.13519e7 −1.01077
\(394\) 1.78582e7i 0.291976i
\(395\) 1.14700e7 + 2.61796e6i 0.186112 + 0.0424788i
\(396\) 5.28880e7 + 6.63194e7i 0.851670 + 1.06796i
\(397\) −2.69927e7 1.18263e8i −0.431394 1.89006i −0.455282 0.890347i \(-0.650462\pi\)
0.0238880 0.999715i \(-0.492396\pi\)
\(398\) −3.48853e7 4.37448e7i −0.553341 0.693868i
\(399\) −8.75452e6 1.81790e7i −0.137821 0.286187i
\(400\) −391339. + 1.71457e6i −0.00611467 + 0.0267901i
\(401\) −8.95504e7 + 4.31252e7i −1.38878 + 0.668802i −0.970853 0.239677i \(-0.922958\pi\)
−0.417930 + 0.908479i \(0.637244\pi\)
\(402\) −9.25160e7 + 1.16011e8i −1.42409 + 1.78576i
\(403\) 1.90995e7 + 8.36802e7i 0.291814 + 1.27852i
\(404\) −1.21230e6 5.31143e6i −0.0183851 0.0805503i
\(405\) 3.76516e6 7.81844e6i 0.0566786 0.117694i
\(406\) 1.40406e7 + 1.11970e7i 0.209801 + 0.167311i
\(407\) −4.77661e7 + 3.80922e7i −0.708495 + 0.565006i
\(408\) −2.18736e7 1.05338e7i −0.322062 0.155097i
\(409\) 2.21959e7 4.60902e7i 0.324416 0.673657i −0.673430 0.739251i \(-0.735180\pi\)
0.997846 + 0.0655939i \(0.0208942\pi\)
\(410\) 1.03292e7 + 1.29525e7i 0.149871 + 0.187932i
\(411\) −4.08023e7 + 5.11645e7i −0.587705 + 0.736959i
\(412\) −1.71094e8 8.23943e7i −2.44648 1.17816i
\(413\) −3.01574e7 + 6.88322e6i −0.428098 + 0.0977106i
\(414\) 4.72155e7 1.07766e7i 0.665401 0.151873i
\(415\) 8.38453e6 + 6.68644e6i 0.117310 + 0.0935515i
\(416\) 3.36645e7 + 6.99051e7i 0.467619 + 0.971021i
\(417\) 1.57996e8 + 3.60615e7i 2.17890 + 0.497319i
\(418\) −5.83666e7 + 2.81079e7i −0.799164 + 0.384857i
\(419\) 8.08848e7 6.45035e7i 1.09957 0.876882i 0.106494 0.994313i \(-0.466038\pi\)
0.993081 + 0.117432i \(0.0374662\pi\)
\(420\) 7.51300e6 1.71479e6i 0.101406 0.0231454i
\(421\) 1.36669e7 1.08990e7i 0.183157 0.146063i −0.527620 0.849481i \(-0.676915\pi\)
0.710776 + 0.703418i \(0.248344\pi\)
\(422\) 2.49953e7 1.09512e8i 0.332600 1.45721i
\(423\) −9.70333e7 −1.28203
\(424\) 6.50877e7i 0.853888i
\(425\) −4.20163e6 + 1.84085e7i −0.0547332 + 0.239802i
\(426\) 2.40509e8 + 1.91799e8i 3.11102 + 2.48095i
\(427\) 1.23578e6 + 595118.i 0.0158729 + 0.00764398i
\(428\) 1.43483e6 690977.i 0.0183007 0.00881317i
\(429\) 1.06640e8i 1.35067i
\(430\) −1.59883e7 + 2.47454e6i −0.201093 + 0.0311235i
\(431\) −1.57245e7 −0.196402 −0.0982008 0.995167i \(-0.531309\pi\)
−0.0982008 + 0.995167i \(0.531309\pi\)
\(432\) 58778.4 + 122055.i 0.000729065 + 0.00151392i
\(433\) −4.38564e7 + 9.10688e7i −0.540218 + 1.12178i 0.434979 + 0.900440i \(0.356756\pi\)
−0.975198 + 0.221335i \(0.928959\pi\)
\(434\) 3.57268e7 4.48001e7i 0.437044 0.548036i
\(435\) 6.41159e6 + 1.46340e6i 0.0778929 + 0.0177785i
\(436\) −1.11148e8 −1.34104
\(437\) 2.29254e7i 0.274709i
\(438\) 2.89533e7 + 6.60840e6i 0.344569 + 0.0786456i
\(439\) 2.35674e7 + 2.95526e7i 0.278560 + 0.349303i 0.901354 0.433082i \(-0.142574\pi\)
−0.622794 + 0.782386i \(0.714003\pi\)
\(440\) −2.12888e6 9.32723e6i −0.0249915 0.109495i
\(441\) −4.44130e7 5.56922e7i −0.517839 0.649349i
\(442\) −1.67475e7 3.47765e7i −0.193947 0.402735i
\(443\) 7.58213e6 3.32195e7i 0.0872128 0.382104i −0.912418 0.409258i \(-0.865787\pi\)
0.999631 + 0.0271544i \(0.00864457\pi\)
\(444\) 1.86187e8 8.96630e7i 2.12716 1.02439i
\(445\) 523012. 655836.i 0.00593514 0.00744244i
\(446\) 5.13504e7 + 2.24981e8i 0.578814 + 2.53595i
\(447\) −3.28075e7 1.43739e8i −0.367325 1.60935i
\(448\) 2.28703e7 4.74906e7i 0.254353 0.528170i
\(449\) −5.35894e7 4.27361e7i −0.592025 0.472124i 0.281061 0.959690i \(-0.409314\pi\)
−0.873086 + 0.487566i \(0.837885\pi\)
\(450\) −1.08837e8 + 8.67945e7i −1.19437 + 0.952478i
\(451\) 8.54717e7 + 4.11610e7i 0.931736 + 0.448700i
\(452\) 1.05689e8 2.19465e8i 1.14449 2.37656i
\(453\) −6.03896e7 7.57262e7i −0.649632 0.814613i
\(454\) 1.68801e8 2.11670e8i 1.80388 2.26200i
\(455\) 4.26835e6 + 2.05553e6i 0.0453134 + 0.0218218i
\(456\) 8.26045e7 1.88539e7i 0.871182 0.198842i
\(457\) −8.25108e6 + 1.88325e6i −0.0864494 + 0.0197315i −0.265527 0.964103i \(-0.585546\pi\)
0.179077 + 0.983835i \(0.442689\pi\)
\(458\) −1.87453e7 1.49489e7i −0.195118 0.155601i
\(459\) 631077. + 1.31044e6i 0.00652596 + 0.0135513i
\(460\) −8.53632e6 1.94836e6i −0.0876996 0.0200169i
\(461\) 5.38885e7 2.59513e7i 0.550038 0.264885i −0.138156 0.990410i \(-0.544118\pi\)
0.688195 + 0.725526i \(0.258403\pi\)
\(462\) 5.56609e7 4.43881e7i 0.564448 0.450132i
\(463\) −1.73838e8 + 3.96774e7i −1.75147 + 0.399761i −0.973526 0.228575i \(-0.926594\pi\)
−0.777942 + 0.628336i \(0.783736\pi\)
\(464\) −992589. + 791563.i −0.00993609 + 0.00792377i
\(465\) 4.66935e6 2.04578e7i 0.0464406 0.203469i
\(466\) 7.68288e7 0.759218
\(467\) 3.50481e7i 0.344123i 0.985086 + 0.172062i \(0.0550428\pi\)
−0.985086 + 0.172062i \(0.944957\pi\)
\(468\) 3.92501e7 1.71966e8i 0.382916 1.67766i
\(469\) 2.95123e7 + 2.35353e7i 0.286078 + 0.228140i
\(470\) 2.55000e7 + 1.22801e7i 0.245610 + 0.118280i
\(471\) 5.13192e7 2.47140e7i 0.491154 0.236527i
\(472\) 1.29895e8i 1.23528i
\(473\) −7.63390e7 + 5.24903e7i −0.721378 + 0.496016i
\(474\) −3.67639e8 −3.45212
\(475\) −2.85918e7 5.93714e7i −0.266784 0.553983i
\(476\) −6.93015e6 + 1.43906e7i −0.0642572 + 0.133431i
\(477\) 5.40780e7 6.78117e7i 0.498271 0.624812i
\(478\) −3.16344e8 7.22034e7i −2.89651 0.661110i
\(479\) −1.06953e8 −0.973162 −0.486581 0.873636i \(-0.661756\pi\)
−0.486581 + 0.873636i \(0.661756\pi\)
\(480\) 1.89686e7i 0.171518i
\(481\) 1.23857e8 + 2.82697e7i 1.11298 + 0.254030i
\(482\) 1.61843e8 + 2.02945e8i 1.44528 + 1.81233i
\(483\) −5.60621e6 2.45624e7i −0.0497540 0.217987i
\(484\) 2.69222e7 + 3.37594e7i 0.237451 + 0.297755i
\(485\) 1.53942e6 + 3.19664e6i 0.0134937 + 0.0280200i
\(486\) −5.78473e7 + 2.53445e8i −0.503935 + 2.20788i
\(487\) −1.80928e8 + 8.71304e7i −1.56646 + 0.754367i −0.997677 0.0681204i \(-0.978300\pi\)
−0.568783 + 0.822488i \(0.692586\pi\)
\(488\) −3.59113e6 + 4.50313e6i −0.0309009 + 0.0387486i
\(489\) 3.60551e7 + 1.57968e8i 0.308347 + 1.35096i
\(490\) 4.62339e6 + 2.02564e7i 0.0392982 + 0.172177i
\(491\) −1.58793e7 + 3.29737e7i −0.134149 + 0.278563i −0.957212 0.289386i \(-0.906549\pi\)
0.823063 + 0.567949i \(0.192263\pi\)
\(492\) −2.50876e8 2.00067e8i −2.10651 1.67989i
\(493\) −1.06570e7 + 8.49866e6i −0.0889392 + 0.0709267i
\(494\) 1.21369e8 + 5.84481e7i 1.00676 + 0.484830i
\(495\) 5.53154e6 1.14864e7i 0.0456069 0.0947037i
\(496\) 2.52568e6 + 3.16710e6i 0.0206982 + 0.0259548i
\(497\) 4.87921e7 6.11834e7i 0.397448 0.498385i
\(498\) −3.01929e8 1.45401e8i −2.44465 1.17728i
\(499\) −1.24873e8 + 2.85014e7i −1.00500 + 0.229385i −0.693187 0.720758i \(-0.743794\pi\)
−0.311815 + 0.950143i \(0.600937\pi\)
\(500\) 4.94665e7 1.12904e7i 0.395732 0.0903232i
\(501\) −2.77609e6 2.21386e6i −0.0220760 0.0176050i
\(502\) 1.42098e8 + 2.95069e8i 1.12325 + 2.33245i
\(503\) 1.11913e8 + 2.55433e7i 0.879378 + 0.200712i 0.638294 0.769792i \(-0.279640\pi\)
0.241083 + 0.970504i \(0.422497\pi\)
\(504\) −4.10241e7 + 1.97561e7i −0.320440 + 0.154316i
\(505\) −640173. + 510521.i −0.00497076 + 0.00396405i
\(506\) −7.88618e7 + 1.79997e7i −0.608717 + 0.138936i
\(507\) 3.08336e7 2.45890e7i 0.236592 0.188676i
\(508\) −4.36482e7 + 1.91235e8i −0.332947 + 1.45874i
\(509\) 1.71806e8 1.30282 0.651412 0.758724i \(-0.274177\pi\)
0.651412 + 0.758724i \(0.274177\pi\)
\(510\) 9.43651e6i 0.0711379i
\(511\) 1.68112e6 7.36548e6i 0.0125990 0.0551999i
\(512\) 5.85852e6 + 4.67201e6i 0.0436494 + 0.0348092i
\(513\) −4.57341e6 2.20244e6i −0.0338757 0.0163137i
\(514\) −7.97883e7 + 3.84240e7i −0.587557 + 0.282952i
\(515\) 2.85410e7i 0.208952i
\(516\) 2.91248e8 1.15637e8i 2.11989 0.841683i
\(517\) 1.62070e8 1.17282
\(518\) −3.67992e7 7.64143e7i −0.264758 0.549776i
\(519\) −8.47469e7 + 1.75979e8i −0.606208 + 1.25880i
\(520\) −1.24037e7 + 1.55538e7i −0.0882149 + 0.110618i
\(521\) −8.18642e7 1.86850e7i −0.578870 0.132123i −0.0769462 0.997035i \(-0.524517\pi\)
−0.501923 + 0.864912i \(0.667374\pi\)
\(522\) −1.00493e8 −0.706522
\(523\) 1.46825e8i 1.02635i −0.858284 0.513176i \(-0.828469\pi\)
0.858284 0.513176i \(-0.171531\pi\)
\(524\) −1.65246e8 3.77164e7i −1.14852 0.262142i
\(525\) 4.51522e7 + 5.66191e7i 0.312034 + 0.391278i
\(526\) −7.07881e7 3.10143e8i −0.486411 2.13110i
\(527\) 2.71171e7 + 3.40037e7i 0.185273 + 0.232324i
\(528\) 2.18370e6 + 4.53451e6i 0.0148352 + 0.0308055i
\(529\) 2.65713e7 1.16416e8i 0.179492 0.786406i
\(530\) −2.27935e7 + 1.09767e7i −0.153103 + 0.0737303i
\(531\) 1.07923e8 1.35331e8i 0.720828 0.903889i
\(532\) −1.24040e7 5.43454e7i −0.0823808 0.360934i
\(533\) −4.38961e7 1.92322e8i −0.289898 1.27012i
\(534\) −1.13732e7 + 2.36168e7i −0.0746897 + 0.155095i
\(535\) −187132. 149233.i −0.00122204 0.000974548i
\(536\) −1.23930e8 + 9.88305e7i −0.804786 + 0.641796i
\(537\) 3.10212e8 + 1.49390e8i 2.00325 + 0.964714i
\(538\) 1.14520e8 2.37803e8i 0.735419 1.52711i
\(539\) 7.41810e7 + 9.30201e7i 0.473725 + 0.594033i
\(540\) 1.20876e6 1.51574e6i 0.00767644 0.00962596i
\(541\) 9.68825e7 + 4.66562e7i 0.611862 + 0.294657i 0.714036 0.700109i \(-0.246865\pi\)
−0.102173 + 0.994767i \(0.532580\pi\)
\(542\) 2.41046e8 5.50172e7i 1.51392 0.345542i
\(543\) 2.07197e8 4.72913e7i 1.29415 0.295380i
\(544\) 3.07380e7 + 2.45127e7i 0.190932 + 0.152263i
\(545\) 7.24803e6 + 1.50507e7i 0.0447745 + 0.0929751i
\(546\) −1.44328e8 3.29420e7i −0.886695 0.202382i
\(547\) −5.20804e7 + 2.50806e7i −0.318209 + 0.153241i −0.586169 0.810189i \(-0.699365\pi\)
0.267960 + 0.963430i \(0.413650\pi\)
\(548\) −1.41351e8 + 1.12724e8i −0.858930 + 0.684974i
\(549\) −7.48285e6 + 1.70791e6i −0.0452220 + 0.0103216i
\(550\) 1.81785e8 1.44969e8i 1.09262 0.871338i
\(551\) 1.05855e7 4.63783e7i 0.0632788 0.277243i
\(552\) 1.05796e8 0.629004
\(553\) 9.35241e7i 0.553029i
\(554\) −6.05016e7 + 2.65075e8i −0.355826 + 1.55898i
\(555\) −2.42828e7 1.93649e7i −0.142043 0.113275i
\(556\) 4.03379e8 + 1.94257e8i 2.34687 + 1.13019i
\(557\) 2.71684e8 1.30836e8i 1.57216 0.757114i 0.574069 0.818807i \(-0.305364\pi\)
0.998095 + 0.0616928i \(0.0196499\pi\)
\(558\) 3.20649e8i 1.84556i
\(559\) 1.84310e8 + 5.60551e7i 1.05515 + 0.320907i
\(560\) 223589. 0.00127317
\(561\) 2.34454e7 + 4.86850e7i 0.132791 + 0.275744i
\(562\) 6.30423e7 1.30909e8i 0.355159 0.737496i
\(563\) −1.54402e8 + 1.93614e8i −0.865224 + 1.08496i 0.130396 + 0.991462i \(0.458375\pi\)
−0.995620 + 0.0934948i \(0.970196\pi\)
\(564\) −5.34452e8 1.21985e8i −2.97901 0.679939i
\(565\) −3.66100e7 −0.202981
\(566\) 1.27997e8i 0.705911i
\(567\) 6.72534e7 + 1.53502e7i 0.368948 + 0.0842100i
\(568\) 2.04891e8 + 2.56925e8i 1.11809 + 1.40204i
\(569\) −5.75227e7 2.52023e8i −0.312250 1.36806i −0.850812 0.525470i \(-0.823889\pi\)
0.538562 0.842586i \(-0.318968\pi\)
\(570\) −2.05335e7 2.57481e7i −0.110876 0.139034i
\(571\) −2.09211e7 4.34431e7i −0.112377 0.233353i 0.837194 0.546907i \(-0.184195\pi\)
−0.949570 + 0.313554i \(0.898480\pi\)
\(572\) −6.55577e7 + 2.87227e8i −0.350296 + 1.53475i
\(573\) 1.67028e8 8.04365e7i 0.887822 0.427552i
\(574\) −8.21108e7 + 1.02964e8i −0.434175 + 0.544438i
\(575\) −1.83096e7 8.02195e7i −0.0963107 0.421965i
\(576\) 6.56347e7 + 2.87564e8i 0.343452 + 1.50476i
\(577\) −2.43041e7 + 5.04680e7i −0.126518 + 0.262717i −0.954601 0.297889i \(-0.903718\pi\)
0.828083 + 0.560606i \(0.189432\pi\)
\(578\) 2.29565e8 + 1.83072e8i 1.18884 + 0.948065i
\(579\) −5.87213e7 + 4.68287e7i −0.302524 + 0.241255i
\(580\) 1.63694e7 + 7.88311e6i 0.0838977 + 0.0404030i
\(581\) −3.69888e7 + 7.68081e7i −0.188600 + 0.391632i
\(582\) −6.91260e7 8.66813e7i −0.350649 0.439700i
\(583\) −9.03240e7 + 1.13263e8i −0.455824 + 0.571585i
\(584\) 2.85831e7 + 1.37649e7i 0.143506 + 0.0691091i
\(585\) −2.58457e7 + 5.89911e6i −0.129098 + 0.0294658i
\(586\) −3.37015e8 + 7.69215e7i −1.67478 + 0.382257i
\(587\) −8.55564e7 6.82290e7i −0.422998 0.337330i 0.388744 0.921346i \(-0.372909\pi\)
−0.811742 + 0.584016i \(0.801480\pi\)
\(588\) −1.74610e8 3.62582e8i −0.858891 1.78350i
\(589\) −1.47981e8 3.37758e7i −0.724205 0.165295i
\(590\) −4.54888e7 + 2.19062e7i −0.221487 + 0.106663i
\(591\) −4.06444e7 + 3.24129e7i −0.196897 + 0.157020i
\(592\) 5.84549e6 1.33420e6i 0.0281745 0.00643064i
\(593\) 4.12469e7 3.28933e7i 0.197800 0.157741i −0.519581 0.854421i \(-0.673912\pi\)
0.717381 + 0.696681i \(0.245341\pi\)
\(594\) 3.98546e6 1.74615e7i 0.0190160 0.0833146i
\(595\) 2.40057e6 0.0113963
\(596\) 4.07317e8i 1.92395i
\(597\) 3.62439e7 1.58795e8i 0.170338 0.746301i
\(598\) 1.31507e8 + 1.04874e8i 0.614960 + 0.490414i
\(599\) −2.87566e8 1.38484e8i −1.33800 0.644348i −0.378383 0.925649i \(-0.623520\pi\)
−0.959620 + 0.281301i \(0.909234\pi\)
\(600\) −2.73988e8 + 1.31946e8i −1.26846 + 0.610860i
\(601\) 2.86611e8i 1.32029i −0.751138 0.660145i \(-0.770495\pi\)
0.751138 0.660145i \(-0.229505\pi\)
\(602\) −4.74594e7 1.19533e8i −0.217537 0.547896i
\(603\) −2.11229e8 −0.963391
\(604\) −1.16101e8 2.41087e8i −0.526898 1.09411i
\(605\) 2.81579e6 5.84704e6i 0.0127155 0.0264040i
\(606\) 1.59530e7 2.00044e7i 0.0716843 0.0898893i
\(607\) 2.62154e8 + 5.98349e7i 1.17217 + 0.267540i 0.763907 0.645326i \(-0.223278\pi\)
0.408260 + 0.912866i \(0.366136\pi\)
\(608\) −1.37209e8 −0.610482
\(609\) 5.22786e7i 0.231458i
\(610\) 2.18261e6 + 498166.i 0.00961582 + 0.00219475i
\(611\) −2.10124e8 2.63487e8i −0.921195 1.15514i
\(612\) −1.98886e7 8.71377e7i −0.0867661 0.380147i
\(613\) −6.69233e7 8.39192e7i −0.290533 0.364317i 0.615048 0.788490i \(-0.289137\pi\)
−0.905582 + 0.424172i \(0.860565\pi\)
\(614\) 2.98618e8 + 6.20086e8i 1.29006 + 2.67884i
\(615\) −1.07315e7 + 4.70179e7i −0.0461356 + 0.202133i
\(616\) 6.85206e7 3.29978e7i 0.293143 0.141170i
\(617\) −7.06938e7 + 8.86472e7i −0.300972 + 0.377407i −0.909203 0.416353i \(-0.863308\pi\)
0.608231 + 0.793760i \(0.291879\pi\)
\(618\) −1.98458e8 8.69502e8i −0.840821 3.68388i
\(619\) 4.96330e7 + 2.17457e8i 0.209266 + 0.916855i 0.965057 + 0.262041i \(0.0843957\pi\)
−0.755791 + 0.654813i \(0.772747\pi\)
\(620\) 2.51530e7 5.22308e7i 0.105539 0.219155i
\(621\) −4.95545e6 3.95184e6i −0.0206923 0.0165015i
\(622\) 1.80545e8 1.43980e8i 0.750266 0.598317i
\(623\) 6.00791e6 + 2.89325e6i 0.0248461 + 0.0119653i
\(624\) 4.54084e6 9.42916e6i 0.0186889 0.0388078i
\(625\) 1.45068e8 + 1.81910e8i 0.594200 + 0.745104i
\(626\) −2.06242e8 + 2.58619e8i −0.840726 + 1.05424i
\(627\) −1.69909e8 8.18238e7i −0.689308 0.331953i
\(628\) 1.53417e8 3.50165e7i 0.619434 0.141382i
\(629\) 6.27604e7 1.43247e7i 0.252193 0.0575615i
\(630\) 1.38371e7 + 1.10347e7i 0.0553378 + 0.0441304i
\(631\) 8.05290e7 + 1.67220e8i 0.320527 + 0.665581i 0.997518 0.0704102i \(-0.0224308\pi\)
−0.676991 + 0.735991i \(0.736717\pi\)
\(632\) −3.82885e8 8.73910e7i −1.51676 0.346191i
\(633\) 2.94611e8 1.41877e8i 1.16155 0.559374i
\(634\) 3.63140e8 2.89594e8i 1.42497 1.13638i
\(635\) 2.87418e7 6.56012e6i 0.112251 0.0256207i
\(636\) 3.83107e8 3.05517e8i 1.48918 1.18759i
\(637\) 5.50525e7 2.41201e8i 0.212990 0.933169i
\(638\) 1.67849e8 0.646335
\(639\) 4.37910e8i 1.67835i
\(640\) 1.19924e7 5.25422e7i 0.0457474 0.200432i
\(641\) −1.70745e8 1.36165e8i −0.648298 0.517001i 0.243228 0.969969i \(-0.421794\pi\)
−0.891527 + 0.452968i \(0.850365\pi\)
\(642\) 6.73866e6 + 3.24517e6i 0.0254665 + 0.0122640i
\(643\) −1.26915e8 + 6.11192e7i −0.477399 + 0.229903i −0.657079 0.753822i \(-0.728208\pi\)
0.179680 + 0.983725i \(0.442494\pi\)
\(644\) 6.96033e7i 0.260599i
\(645\) −3.46510e7 3.18975e7i −0.129133 0.118871i
\(646\) 6.82591e7 0.253200
\(647\) −8.51535e7 1.76823e8i −0.314405 0.652869i 0.682551 0.730838i \(-0.260871\pi\)
−0.996956 + 0.0779692i \(0.975156\pi\)
\(648\) −1.25686e8 + 2.60990e8i −0.461915 + 0.959177i
\(649\) −1.80259e8 + 2.26038e8i −0.659422 + 0.826889i
\(650\) −4.71369e8 1.07587e8i −1.71641 0.391759i
\(651\) 1.66808e8 0.604608
\(652\) 4.47638e8i 1.61504i
\(653\) −3.77281e8 8.61119e7i −1.35496 0.309260i −0.517462 0.855706i \(-0.673123\pi\)
−0.837494 + 0.546446i \(0.815980\pi\)
\(654\) −3.25465e8 4.08121e8i −1.16351 1.45900i
\(655\) 5.66859e6 + 2.48357e7i 0.0201721 + 0.0883798i
\(656\) −5.80475e6 7.27893e6i −0.0205623 0.0257843i
\(657\) 1.83428e7 + 3.80893e7i 0.0646800 + 0.134309i
\(658\) −5.00648e7 + 2.19348e8i −0.175733 + 0.769939i
\(659\) 5.95889e7 2.86965e7i 0.208214 0.100270i −0.326871 0.945069i \(-0.605994\pi\)
0.535084 + 0.844799i \(0.320280\pi\)
\(660\) 4.49073e7 5.63120e7i 0.156202 0.195871i
\(661\) −7.15229e7 3.13362e8i −0.247652 1.08503i −0.933863 0.357630i \(-0.883585\pi\)
0.686212 0.727402i \(-0.259272\pi\)
\(662\) 1.92239e8 + 8.42253e8i 0.662624 + 2.90315i
\(663\) 4.87530e7 1.01237e8i 0.167286 0.347374i
\(664\) −2.79887e8 2.23202e8i −0.956044 0.762420i
\(665\) −6.55011e6 + 5.22354e6i −0.0222732 + 0.0177623i
\(666\) 4.27602e8 + 2.05922e8i 1.44749 + 0.697076i
\(667\) 2.57724e7 5.35170e7i 0.0868516 0.180349i
\(668\) −6.11618e6 7.66945e6i −0.0205188 0.0257297i
\(669\) −4.18845e8 + 5.25215e8i −1.39886 + 1.75412i
\(670\) 5.55103e7 + 2.67323e7i 0.184565 + 0.0888817i
\(671\) 1.24983e7 2.85264e6i 0.0413696 0.00944235i
\(672\) 1.47007e8 3.35534e7i 0.484429 0.110568i
\(673\) 1.80828e8 + 1.44205e8i 0.593226 + 0.473082i 0.873491 0.486841i \(-0.161851\pi\)
−0.280265 + 0.959923i \(0.590422\pi\)
\(674\) −1.25794e8 2.61214e8i −0.410848 0.853134i
\(675\) 1.77621e7 + 4.05407e6i 0.0577540 + 0.0131820i
\(676\) 9.81640e7 4.72733e7i 0.317770 0.153030i
\(677\) 6.23751e6 4.97425e6i 0.0201023 0.0160310i −0.613387 0.789782i \(-0.710193\pi\)
0.633489 + 0.773751i \(0.281622\pi\)
\(678\) 1.11532e9 2.54566e8i 3.57859 0.816791i
\(679\) −2.20510e7 + 1.75851e7i −0.0704399 + 0.0561739i
\(680\) −2.24314e6 + 9.82785e6i −0.00713395 + 0.0312559i
\(681\) 7.88130e8 2.49549
\(682\) 5.35565e8i 1.68834i
\(683\) −8.96543e7 + 3.92801e8i −0.281390 + 1.23285i 0.614622 + 0.788822i \(0.289309\pi\)
−0.896012 + 0.444029i \(0.853549\pi\)
\(684\) 2.43875e8 + 1.94484e8i 0.762078 + 0.607737i
\(685\) 2.44817e7 + 1.17898e7i 0.0761675 + 0.0366803i
\(686\) −3.20271e8 + 1.54235e8i −0.992078 + 0.477760i
\(687\) 6.97961e7i 0.215259i
\(688\) 8.98499e6 1.39062e6i 0.0275900 0.00427015i
\(689\) 3.01243e8 0.920998
\(690\) −1.78421e7 3.70495e7i −0.0543123 0.112781i
\(691\) −2.55587e8 + 5.30732e8i −0.774649 + 1.60857i 0.0187133 + 0.999825i \(0.494043\pi\)
−0.793362 + 0.608750i \(0.791671\pi\)
\(692\) −3.36442e8 + 4.21885e8i −1.01530 + 1.27314i
\(693\) 9.88044e7 + 2.25515e7i 0.296877 + 0.0677603i
\(694\) 6.06483e8 1.81443
\(695\) 6.72897e7i 0.200445i
\(696\) −2.14027e8 4.88503e7i −0.634806 0.144890i
\(697\) −6.23230e7 7.81506e7i −0.184056 0.230799i
\(698\) 9.10106e6 + 3.98743e7i 0.0267624 + 0.117254i
\(699\) 1.39446e8 + 1.74859e8i 0.408294 + 0.511985i
\(700\) 8.68069e7 + 1.80256e8i 0.253081 + 0.525529i
\(701\) −2.87696e7 + 1.26048e8i −0.0835179 + 0.365916i −0.999366 0.0356096i \(-0.988663\pi\)
0.915848 + 0.401525i \(0.131520\pi\)
\(702\) −3.35552e7 + 1.61594e7i −0.0969949 + 0.0467103i
\(703\) −1.40076e8 + 1.75650e8i −0.403179 + 0.505570i
\(704\) −1.09627e8 4.80305e8i −0.314194 1.37657i
\(705\) 1.83338e7 + 8.03256e7i 0.0523221 + 0.229238i
\(706\) −1.67374e8 + 3.47555e8i −0.475634 + 0.987664i
\(707\) −5.08895e6 4.05831e6i −0.0144003 0.0114838i
\(708\) 7.64565e8 6.09720e8i 2.15434 1.71803i
\(709\) −5.42457e8 2.61233e8i −1.52204 0.732977i −0.528768 0.848766i \(-0.677346\pi\)
−0.993274 + 0.115790i \(0.963060\pi\)
\(710\) 5.54201e7 1.15081e8i 0.154843 0.321536i
\(711\) −3.26300e8 4.09168e8i −0.907839 1.13839i
\(712\) −1.74588e7 + 2.18927e7i −0.0483698 + 0.0606539i
\(713\) −1.70759e8 8.22333e7i −0.471103 0.226871i
\(714\) −7.31334e7 + 1.66922e7i −0.200919 + 0.0458584i
\(715\) 4.31688e7 9.85300e6i 0.118101 0.0269557i
\(716\) 7.43691e8 + 5.93074e8i 2.02607 + 1.61573i
\(717\) −4.09837e8 8.51036e8i −1.11187 2.30882i
\(718\) −7.84710e8 1.79105e8i −2.12000 0.483876i
\(719\) 2.27933e8 1.09767e8i 0.613225 0.295314i −0.101373 0.994848i \(-0.532324\pi\)
0.714599 + 0.699535i \(0.246609\pi\)
\(720\) −978199. + 780088.i −0.00262078 + 0.00209000i
\(721\) −2.21194e8 + 5.04860e7i −0.590156 + 0.134699i
\(722\) 2.90994e8 2.32060e8i 0.773165 0.616578i
\(723\) −1.68146e8 + 7.36696e8i −0.444910 + 1.94928i
\(724\) 5.87139e8 1.54712
\(725\) 1.70739e8i 0.448042i
\(726\) −4.51260e7 + 1.97710e8i −0.117928 + 0.516676i
\(727\) −1.90301e8 1.51760e8i −0.495266 0.394961i 0.343756 0.939059i \(-0.388301\pi\)
−0.839022 + 0.544098i \(0.816872\pi\)
\(728\) −1.42483e8 6.86163e7i −0.369292 0.177842i
\(729\) −3.18400e8 + 1.53334e8i −0.821847 + 0.395781i
\(730\) 1.23311e7i 0.0316981i
\(731\) 9.64678e7 1.49305e7i 0.246962 0.0382227i
\(732\) −4.33621e7 −0.110555
\(733\) −9.22012e7 1.91458e8i −0.234113 0.486140i 0.750505 0.660865i \(-0.229811\pi\)
−0.984617 + 0.174725i \(0.944096\pi\)
\(734\) −8.14771e6 + 1.69189e7i −0.0206038 + 0.0427842i
\(735\) −3.77112e7 + 4.72884e7i −0.0949749 + 0.119095i
\(736\) −1.67030e8 3.81236e7i −0.418950 0.0956226i
\(737\) 3.52807e8 0.881322
\(738\) 7.36946e8i 1.83344i
\(739\) 3.41036e7 + 7.78394e6i 0.0845021 + 0.0192871i 0.264563 0.964368i \(-0.414772\pi\)
−0.180061 + 0.983655i \(0.557629\pi\)
\(740\) −5.34990e7 6.70856e7i −0.132023 0.165552i
\(741\) 8.72609e7 + 3.82315e8i 0.214469 + 0.939651i
\(742\) −1.25389e8 1.57233e8i −0.306937 0.384887i
\(743\) 1.75320e8 + 3.64055e8i 0.427429 + 0.887565i 0.997807 + 0.0661832i \(0.0210822\pi\)
−0.570379 + 0.821382i \(0.693204\pi\)
\(744\) −1.55869e8 + 6.82907e8i −0.378478 + 1.65822i
\(745\) −5.51554e7 + 2.65614e7i −0.133389 + 0.0642366i
\(746\) −4.89764e8 + 6.14144e8i −1.17970 + 1.47929i
\(747\) −1.06153e8 4.65087e8i −0.254666 1.11576i
\(748\) 3.32190e7 + 1.45542e8i 0.0793747 + 0.347763i
\(749\) 825543. 1.71426e6i 0.00196469 0.00407972i
\(750\) 1.86306e8 + 1.48574e8i 0.441613 + 0.352175i
\(751\) 1.36264e8 1.08667e8i 0.321707 0.256553i −0.449298 0.893382i \(-0.648326\pi\)
0.771005 + 0.636829i \(0.219754\pi\)
\(752\) −1.43303e7 6.90110e6i −0.0336978 0.0162280i
\(753\) −4.13655e8 + 8.58964e8i −0.968843 + 2.01182i
\(754\) −2.17617e8 2.72883e8i −0.507666 0.636593i
\(755\) −2.50749e7 + 3.14429e7i −0.0582636 + 0.0730603i
\(756\) 1.38852e7 + 6.68678e6i 0.0321357 + 0.0154757i
\(757\) −2.43831e8 + 5.56529e7i