Properties

Label 43.7.d.a.7.14
Level 43
Weight 7
Character 43.7
Analytic conductor 9.892
Analytic rank 0
Dimension 42
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.d (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(42\)
Relative dimension: \(21\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 7.14
Character \(\chi\) \(=\) 43.7
Dual form 43.7.d.a.37.8

$q$-expansion

\(f(q)\) \(=\) \(q+6.20332i q^{2} +(-29.5720 + 17.0734i) q^{3} +25.5189 q^{4} +(-46.5574 + 26.8799i) q^{5} +(-105.912 - 183.445i) q^{6} +(-448.906 - 259.176i) q^{7} +555.314i q^{8} +(218.503 - 378.459i) q^{9} +O(q^{10})\) \(q+6.20332i q^{2} +(-29.5720 + 17.0734i) q^{3} +25.5189 q^{4} +(-46.5574 + 26.8799i) q^{5} +(-105.912 - 183.445i) q^{6} +(-448.906 - 259.176i) q^{7} +555.314i q^{8} +(218.503 - 378.459i) q^{9} +(-166.745 - 288.810i) q^{10} +668.930 q^{11} +(-754.645 + 435.695i) q^{12} +(1458.97 - 2527.02i) q^{13} +(1607.75 - 2784.71i) q^{14} +(917.864 - 1589.79i) q^{15} -1811.58 q^{16} +(4621.51 - 8004.68i) q^{17} +(2347.70 + 1355.45i) q^{18} +(-8611.09 + 4971.62i) q^{19} +(-1188.09 + 685.945i) q^{20} +17700.1 q^{21} +4149.58i q^{22} +(1260.28 + 2182.87i) q^{23} +(-9481.11 - 16421.8i) q^{24} +(-6367.44 + 11028.7i) q^{25} +(15675.9 + 9050.48i) q^{26} -9970.65i q^{27} +(-11455.6 - 6613.88i) q^{28} +(-28975.0 - 16728.7i) q^{29} +(9861.95 + 5693.80i) q^{30} +(-12187.6 - 21109.5i) q^{31} +24302.3i q^{32} +(-19781.6 + 11420.9i) q^{33} +(49655.6 + 28668.7i) q^{34} +27866.5 q^{35} +(5575.96 - 9657.85i) q^{36} +(20245.7 - 11688.9i) q^{37} +(-30840.5 - 53417.3i) q^{38} +99638.7i q^{39} +(-14926.8 - 25854.0i) q^{40} -115817. q^{41} +109799. i q^{42} +(-76602.8 + 21292.5i) q^{43} +17070.3 q^{44} +23493.4i q^{45} +(-13541.0 + 7817.91i) q^{46} +61753.5 q^{47} +(53572.1 - 30929.8i) q^{48} +(75520.0 + 130805. i) q^{49} +(-68414.7 - 39499.2i) q^{50} +315620. i q^{51} +(37231.4 - 64486.7i) q^{52} +(-78565.5 - 136079. i) q^{53} +61851.1 q^{54} +(-31143.6 + 17980.8i) q^{55} +(143924. - 249284. i) q^{56} +(169765. - 294042. i) q^{57} +(103773. - 179741. i) q^{58} -124631. q^{59} +(23422.9 - 40569.6i) q^{60} +(142533. + 82291.6i) q^{61} +(130949. - 75603.4i) q^{62} +(-196175. + 113262. i) q^{63} -266696. q^{64} +156868. i q^{65} +(-70847.6 - 122712. i) q^{66} +(-153628. - 266092. i) q^{67} +(117936. - 204271. i) q^{68} +(-74538.0 - 43034.6i) q^{69} +172865. i q^{70} +(144911. + 83664.3i) q^{71} +(210163. + 121338. i) q^{72} +(-92149.8 - 53202.7i) q^{73} +(72509.7 + 125590. i) q^{74} -434856. i q^{75} +(-219745. + 126870. i) q^{76} +(-300287. - 173371. i) q^{77} -618090. q^{78} +(-42654.8 + 73880.2i) q^{79} +(84342.4 - 48695.1i) q^{80} +(329522. + 570749. i) q^{81} -718452. i q^{82} +(215515. + 373283. i) q^{83} +451686. q^{84} +496903. i q^{85} +(-132084. - 475192. i) q^{86} +1.14247e6 q^{87} +371466. i q^{88} +(336288. - 194156. i) q^{89} -145737. q^{90} +(-1.30989e6 + 756263. i) q^{91} +(32160.9 + 55704.3i) q^{92} +(720823. + 416168. i) q^{93} +383077. i q^{94} +(267273. - 462931. i) q^{95} +(-414923. - 718668. i) q^{96} +1.25371e6 q^{97} +(-811422. + 468475. i) q^{98} +(146163. - 253163. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} + O(q^{10}) \) \( 42q - 3q^{3} - 1194q^{4} - 3q^{5} + 111q^{6} - 147q^{7} + 3852q^{9} - 981q^{10} - 4104q^{11} + 918q^{12} + 4843q^{13} + 2814q^{14} - 163q^{15} + 36678q^{16} + 3641q^{17} - 507q^{18} - 5229q^{19} - 1599q^{20} - 29990q^{21} + 6575q^{23} - 4622q^{24} + 68484q^{25} + 189q^{26} + 48948q^{28} + 95361q^{29} - 85041q^{30} - 79373q^{31} - 79638q^{33} - 184743q^{34} - 80582q^{35} + 59972q^{36} - 66063q^{37} - 69820q^{38} + 189951q^{40} + 40632q^{41} - 368728q^{43} + 130330q^{44} + 34056q^{46} - 247820q^{47} + 326907q^{48} - 21876q^{49} - 28638q^{50} - 617150q^{52} + 11639q^{53} + 655904q^{54} - 43638q^{55} + 553875q^{56} - 422859q^{57} + 587796q^{58} - 649352q^{59} + 875455q^{60} - 52251q^{61} + 1335249q^{62} + 93690q^{63} - 792420q^{64} + 160395q^{66} - 173603q^{67} + 22286q^{68} + 870417q^{69} + 1670505q^{71} - 2068518q^{72} - 2646201q^{73} - 1625030q^{74} - 80622q^{76} - 486066q^{77} + 2835040q^{78} + 1897639q^{79} - 817059q^{80} + 2215367q^{81} + 1584059q^{83} - 824560q^{84} - 2333682q^{86} - 5547198q^{87} + 2736939q^{89} + 1092196q^{90} - 3724131q^{91} + 470257q^{92} + 488433q^{93} - 1289839q^{95} + 1697650q^{96} + 5260848q^{97} + 4722621q^{98} + 1375834q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.20332i 0.775414i 0.921783 + 0.387707i \(0.126733\pi\)
−0.921783 + 0.387707i \(0.873267\pi\)
\(3\) −29.5720 + 17.0734i −1.09526 + 0.632349i −0.934972 0.354721i \(-0.884576\pi\)
−0.160288 + 0.987070i \(0.551242\pi\)
\(4\) 25.5189 0.398732
\(5\) −46.5574 + 26.8799i −0.372459 + 0.215039i −0.674532 0.738245i \(-0.735655\pi\)
0.302073 + 0.953285i \(0.402321\pi\)
\(6\) −105.912 183.445i −0.490332 0.849281i
\(7\) −448.906 259.176i −1.30876 0.755616i −0.326875 0.945068i \(-0.605995\pi\)
−0.981890 + 0.189452i \(0.939329\pi\)
\(8\) 555.314i 1.08460i
\(9\) 218.503 378.459i 0.299730 0.519148i
\(10\) −166.745 288.810i −0.166745 0.288810i
\(11\) 668.930 0.502577 0.251289 0.967912i \(-0.419146\pi\)
0.251289 + 0.967912i \(0.419146\pi\)
\(12\) −754.645 + 435.695i −0.436716 + 0.252138i
\(13\) 1458.97 2527.02i 0.664076 1.15021i −0.315459 0.948939i \(-0.602159\pi\)
0.979535 0.201274i \(-0.0645081\pi\)
\(14\) 1607.75 2784.71i 0.585915 1.01483i
\(15\) 917.864 1589.79i 0.271960 0.471048i
\(16\) −1811.58 −0.442280
\(17\) 4621.51 8004.68i 0.940669 1.62929i 0.176469 0.984306i \(-0.443532\pi\)
0.764199 0.644980i \(-0.223134\pi\)
\(18\) 2347.70 + 1355.45i 0.402555 + 0.232415i
\(19\) −8611.09 + 4971.62i −1.25544 + 0.724831i −0.972185 0.234212i \(-0.924749\pi\)
−0.283259 + 0.959044i \(0.591416\pi\)
\(20\) −1188.09 + 685.945i −0.148511 + 0.0857431i
\(21\) 17700.1 1.91125
\(22\) 4149.58i 0.389706i
\(23\) 1260.28 + 2182.87i 0.103582 + 0.179409i 0.913158 0.407606i \(-0.133636\pi\)
−0.809576 + 0.587015i \(0.800303\pi\)
\(24\) −9481.11 16421.8i −0.685844 1.18792i
\(25\) −6367.44 + 11028.7i −0.407516 + 0.705839i
\(26\) 15675.9 + 9050.48i 0.891892 + 0.514934i
\(27\) 9970.65i 0.506561i
\(28\) −11455.6 6613.88i −0.521847 0.301288i
\(29\) −28975.0 16728.7i −1.18803 0.685912i −0.230175 0.973149i \(-0.573930\pi\)
−0.957859 + 0.287237i \(0.907263\pi\)
\(30\) 9861.95 + 5693.80i 0.365257 + 0.210881i
\(31\) −12187.6 21109.5i −0.409103 0.708587i 0.585686 0.810538i \(-0.300825\pi\)
−0.994789 + 0.101951i \(0.967492\pi\)
\(32\) 24302.3i 0.741647i
\(33\) −19781.6 + 11420.9i −0.550453 + 0.317804i
\(34\) 49655.6 + 28668.7i 1.26337 + 0.729408i
\(35\) 27866.5 0.649948
\(36\) 5575.96 9657.85i 0.119512 0.207001i
\(37\) 20245.7 11688.9i 0.399694 0.230763i −0.286658 0.958033i \(-0.592544\pi\)
0.686352 + 0.727270i \(0.259211\pi\)
\(38\) −30840.5 53417.3i −0.562044 0.973490i
\(39\) 99638.7i 1.67971i
\(40\) −14926.8 25854.0i −0.233231 0.403968i
\(41\) −115817. −1.68044 −0.840219 0.542248i \(-0.817573\pi\)
−0.840219 + 0.542248i \(0.817573\pi\)
\(42\) 109799.i 1.48201i
\(43\) −76602.8 + 21292.5i −0.963473 + 0.267806i
\(44\) 17070.3 0.200394
\(45\) 23493.4i 0.257815i
\(46\) −13541.0 + 7817.91i −0.139116 + 0.0803188i
\(47\) 61753.5 0.594796 0.297398 0.954754i \(-0.403881\pi\)
0.297398 + 0.954754i \(0.403881\pi\)
\(48\) 53572.1 30929.8i 0.484412 0.279675i
\(49\) 75520.0 + 130805.i 0.641910 + 1.11182i
\(50\) −68414.7 39499.2i −0.547318 0.315994i
\(51\) 315620.i 2.37932i
\(52\) 37231.4 64486.7i 0.264789 0.458627i
\(53\) −78565.5 136079.i −0.527721 0.914040i −0.999478 0.0323110i \(-0.989713\pi\)
0.471757 0.881729i \(-0.343620\pi\)
\(54\) 61851.1 0.392795
\(55\) −31143.6 + 17980.8i −0.187189 + 0.108074i
\(56\) 143924. 249284.i 0.819539 1.41948i
\(57\) 169765. 294042.i 0.916692 1.58776i
\(58\) 103773. 179741.i 0.531866 0.921219i
\(59\) −124631. −0.606836 −0.303418 0.952858i \(-0.598128\pi\)
−0.303418 + 0.952858i \(0.598128\pi\)
\(60\) 23422.9 40569.6i 0.108439 0.187822i
\(61\) 142533. + 82291.6i 0.627952 + 0.362548i 0.779959 0.625831i \(-0.215240\pi\)
−0.152006 + 0.988380i \(0.548573\pi\)
\(62\) 130949. 75603.4i 0.549449 0.317224i
\(63\) −196175. + 113262.i −0.784553 + 0.452962i
\(64\) −266696. −1.01736
\(65\) 156868.i 0.571210i
\(66\) −70847.6 122712.i −0.246430 0.426829i
\(67\) −153628. 266092.i −0.510795 0.884722i −0.999922 0.0125099i \(-0.996018\pi\)
0.489127 0.872213i \(-0.337315\pi\)
\(68\) 117936. 204271.i 0.375075 0.649649i
\(69\) −74538.0 43034.6i −0.226898 0.131000i
\(70\) 172865.i 0.503979i
\(71\) 144911. + 83664.3i 0.404879 + 0.233757i 0.688587 0.725154i \(-0.258231\pi\)
−0.283708 + 0.958911i \(0.591565\pi\)
\(72\) 210163. + 121338.i 0.563067 + 0.325087i
\(73\) −92149.8 53202.7i −0.236879 0.136762i 0.376863 0.926269i \(-0.377003\pi\)
−0.613741 + 0.789507i \(0.710336\pi\)
\(74\) 72509.7 + 125590.i 0.178937 + 0.309928i
\(75\) 434856.i 1.03077i
\(76\) −219745. + 126870.i −0.500586 + 0.289014i
\(77\) −300287. 173371.i −0.657755 0.379755i
\(78\) −618090. −1.30247
\(79\) −42654.8 + 73880.2i −0.0865140 + 0.149847i −0.906035 0.423202i \(-0.860906\pi\)
0.819521 + 0.573049i \(0.194239\pi\)
\(80\) 84342.4 48695.1i 0.164731 0.0951076i
\(81\) 329522. + 570749.i 0.620054 + 1.07396i
\(82\) 718452.i 1.30304i
\(83\) 215515. + 373283.i 0.376915 + 0.652837i 0.990612 0.136706i \(-0.0436514\pi\)
−0.613696 + 0.789542i \(0.710318\pi\)
\(84\) 451686. 0.762078
\(85\) 496903.i 0.809123i
\(86\) −132084. 475192.i −0.207661 0.747091i
\(87\) 1.14247e6 1.73494
\(88\) 371466.i 0.545094i
\(89\) 336288. 194156.i 0.477026 0.275411i −0.242150 0.970239i \(-0.577853\pi\)
0.719176 + 0.694828i \(0.244519\pi\)
\(90\) −145737. −0.199914
\(91\) −1.30989e6 + 756263.i −1.73824 + 1.00357i
\(92\) 32160.9 + 55704.3i 0.0413014 + 0.0715361i
\(93\) 720823. + 416168.i 0.896149 + 0.517392i
\(94\) 383077.i 0.461214i
\(95\) 267273. 462931.i 0.311734 0.539940i
\(96\) −414923. 718668.i −0.468980 0.812297i
\(97\) 1.25371e6 1.37367 0.686834 0.726814i \(-0.259000\pi\)
0.686834 + 0.726814i \(0.259000\pi\)
\(98\) −811422. + 468475.i −0.862121 + 0.497746i
\(99\) 146163. 253163.i 0.150638 0.260912i
\(100\) −162490. + 281441.i −0.162490 + 0.281441i
\(101\) 173483. 300482.i 0.168381 0.291645i −0.769470 0.638683i \(-0.779479\pi\)
0.937851 + 0.347039i \(0.112813\pi\)
\(102\) −1.95789e6 −1.84496
\(103\) −860379. + 1.49022e6i −0.787369 + 1.36376i 0.140205 + 0.990122i \(0.455224\pi\)
−0.927574 + 0.373640i \(0.878110\pi\)
\(104\) 1.40329e6 + 810189.i 1.24752 + 0.720255i
\(105\) −824070. + 475777.i −0.711862 + 0.410994i
\(106\) 844144. 487367.i 0.708760 0.409203i
\(107\) −1.37113e6 −1.11925 −0.559624 0.828746i \(-0.689055\pi\)
−0.559624 + 0.828746i \(0.689055\pi\)
\(108\) 254440.i 0.201983i
\(109\) 21429.7 + 37117.4i 0.0165477 + 0.0286614i 0.874181 0.485601i \(-0.161399\pi\)
−0.857633 + 0.514262i \(0.828066\pi\)
\(110\) −111540. 193194.i −0.0838020 0.145149i
\(111\) −399138. + 691327.i −0.291846 + 0.505492i
\(112\) 813229. + 469518.i 0.578840 + 0.334194i
\(113\) 1.35765e6i 0.940922i −0.882421 0.470461i \(-0.844088\pi\)
0.882421 0.470461i \(-0.155912\pi\)
\(114\) 1.82403e6 + 1.05311e6i 1.23117 + 0.710816i
\(115\) −117351. 67752.4i −0.0771599 0.0445483i
\(116\) −739409. 426898.i −0.473708 0.273495i
\(117\) −637582. 1.10432e6i −0.398087 0.689507i
\(118\) 773128.i 0.470549i
\(119\) −4.14925e6 + 2.39557e6i −2.46223 + 1.42157i
\(120\) 882831. + 509703.i 0.510897 + 0.294967i
\(121\) −1.32409e6 −0.747416
\(122\) −510481. + 884179.i −0.281125 + 0.486923i
\(123\) 3.42496e6 1.97740e6i 1.84052 1.06262i
\(124\) −311014. 538691.i −0.163123 0.282537i
\(125\) 1.52462e6i 0.780607i
\(126\) −702598. 1.21694e6i −0.351233 0.608353i
\(127\) −713613. −0.348379 −0.174189 0.984712i \(-0.555731\pi\)
−0.174189 + 0.984712i \(0.555731\pi\)
\(128\) 99051.7i 0.0472315i
\(129\) 1.90177e6 1.93753e6i 0.885907 0.902568i
\(130\) −973104. −0.442924
\(131\) 2.32324e6i 1.03343i −0.856158 0.516714i \(-0.827155\pi\)
0.856158 0.516714i \(-0.172845\pi\)
\(132\) −504805. + 291449.i −0.219483 + 0.126719i
\(133\) 5.15410e6 2.19077
\(134\) 1.65065e6 953004.i 0.686027 0.396078i
\(135\) 268010. + 464207.i 0.108931 + 0.188673i
\(136\) 4.44511e6 + 2.56639e6i 1.76712 + 1.02025i
\(137\) 2.19066e6i 0.851947i −0.904736 0.425974i \(-0.859932\pi\)
0.904736 0.425974i \(-0.140068\pi\)
\(138\) 266957. 462383.i 0.101579 0.175940i
\(139\) 856023. + 1.48268e6i 0.318743 + 0.552080i 0.980226 0.197881i \(-0.0634058\pi\)
−0.661483 + 0.749960i \(0.730072\pi\)
\(140\) 711123. 0.259155
\(141\) −1.82618e6 + 1.05434e6i −0.651457 + 0.376119i
\(142\) −518996. + 898927.i −0.181259 + 0.313949i
\(143\) 975952. 1.69040e6i 0.333749 0.578071i
\(144\) −395836. + 685608.i −0.132565 + 0.229609i
\(145\) 1.79866e6 0.589992
\(146\) 330033. 571634.i 0.106047 0.183679i
\(147\) −4.46656e6 2.57877e6i −1.40612 0.811822i
\(148\) 516648. 298287.i 0.159371 0.0920129i
\(149\) −3.52607e6 + 2.03578e6i −1.06594 + 0.615419i −0.927069 0.374891i \(-0.877680\pi\)
−0.138869 + 0.990311i \(0.544347\pi\)
\(150\) 2.69755e6 0.799274
\(151\) 5.74517e6i 1.66868i 0.551253 + 0.834338i \(0.314150\pi\)
−0.551253 + 0.834338i \(0.685850\pi\)
\(152\) −2.76081e6 4.78186e6i −0.786150 1.36165i
\(153\) −2.01963e6 3.49810e6i −0.563894 0.976693i
\(154\) 1.07547e6 1.86277e6i 0.294468 0.510033i
\(155\) 1.13484e6 + 655203.i 0.304748 + 0.175946i
\(156\) 2.54267e6i 0.669755i
\(157\) −3.59467e6 2.07538e6i −0.928880 0.536289i −0.0424228 0.999100i \(-0.513508\pi\)
−0.886457 + 0.462811i \(0.846841\pi\)
\(158\) −458302. 264601.i −0.116193 0.0670842i
\(159\) 4.64668e6 + 2.68276e6i 1.15598 + 0.667408i
\(160\) −653243. 1.13145e6i −0.159483 0.276233i
\(161\) 1.30654e6i 0.313072i
\(162\) −3.54054e6 + 2.04413e6i −0.832768 + 0.480799i
\(163\) −1.14929e6 663544.i −0.265380 0.153217i 0.361406 0.932408i \(-0.382297\pi\)
−0.626786 + 0.779191i \(0.715630\pi\)
\(164\) −2.95553e6 −0.670045
\(165\) 613987. 1.06346e6i 0.136681 0.236738i
\(166\) −2.31559e6 + 1.33691e6i −0.506219 + 0.292266i
\(167\) 2.30365e6 + 3.99003e6i 0.494614 + 0.856696i 0.999981 0.00620824i \(-0.00197616\pi\)
−0.505367 + 0.862905i \(0.668643\pi\)
\(168\) 9.82911e6i 2.07294i
\(169\) −1.84381e6 3.19357e6i −0.381993 0.661632i
\(170\) −3.08244e6 −0.627406
\(171\) 4.34526e6i 0.869015i
\(172\) −1.95482e6 + 543360.i −0.384168 + 0.106783i
\(173\) 5.40326e6 1.04356 0.521780 0.853080i \(-0.325268\pi\)
0.521780 + 0.853080i \(0.325268\pi\)
\(174\) 7.08707e6i 1.34530i
\(175\) 5.71677e6 3.30058e6i 1.06669 0.615851i
\(176\) −1.21182e6 −0.222280
\(177\) 3.68560e6 2.12788e6i 0.664644 0.383732i
\(178\) 1.20441e6 + 2.08610e6i 0.213558 + 0.369893i
\(179\) −4.30512e6 2.48556e6i −0.750631 0.433377i 0.0752909 0.997162i \(-0.476011\pi\)
−0.825922 + 0.563785i \(0.809345\pi\)
\(180\) 599525.i 0.102799i
\(181\) 1.85635e6 3.21528e6i 0.313057 0.542230i −0.665966 0.745982i \(-0.731980\pi\)
0.979023 + 0.203752i \(0.0653137\pi\)
\(182\) −4.69134e6 8.12563e6i −0.778184 1.34785i
\(183\) −5.62000e6 −0.917029
\(184\) −1.21218e6 + 699851.i −0.194586 + 0.112345i
\(185\) −628391. + 1.08841e6i −0.0992464 + 0.171900i
\(186\) −2.58162e6 + 4.47149e6i −0.401193 + 0.694887i
\(187\) 3.09146e6 5.35457e6i 0.472759 0.818842i
\(188\) 1.57588e6 0.237165
\(189\) −2.58415e6 + 4.47589e6i −0.382766 + 0.662970i
\(190\) 2.87171e6 + 1.65798e6i 0.418677 + 0.241723i
\(191\) 1.54128e6 889857.i 0.221198 0.127709i −0.385307 0.922788i \(-0.625904\pi\)
0.606505 + 0.795080i \(0.292571\pi\)
\(192\) 7.88674e6 4.55341e6i 1.11428 0.643329i
\(193\) −903040. −0.125613 −0.0628066 0.998026i \(-0.520005\pi\)
−0.0628066 + 0.998026i \(0.520005\pi\)
\(194\) 7.77716e6i 1.06516i
\(195\) −2.67828e6 4.63892e6i −0.361204 0.625623i
\(196\) 1.92719e6 + 3.33799e6i 0.255950 + 0.443319i
\(197\) 60217.6 104300.i 0.00787634 0.0136422i −0.862060 0.506806i \(-0.830826\pi\)
0.869937 + 0.493163i \(0.164160\pi\)
\(198\) 1.57045e6 + 906698.i 0.202315 + 0.116807i
\(199\) 6.23092e6i 0.790666i −0.918538 0.395333i \(-0.870629\pi\)
0.918538 0.395333i \(-0.129371\pi\)
\(200\) −6.12441e6 3.53593e6i −0.765551 0.441991i
\(201\) 9.08619e6 + 5.24592e6i 1.11891 + 0.646001i
\(202\) 1.86398e6 + 1.07617e6i 0.226146 + 0.130565i
\(203\) 8.67136e6 + 1.50192e7i 1.03657 + 1.79539i
\(204\) 8.05426e6i 0.948713i
\(205\) 5.39216e6 3.11316e6i 0.625894 0.361360i
\(206\) −9.24430e6 5.33720e6i −1.05748 0.610537i
\(207\) 1.10150e6 0.124186
\(208\) −2.64305e6 + 4.57789e6i −0.293707 + 0.508716i
\(209\) −5.76022e6 + 3.32566e6i −0.630958 + 0.364283i
\(210\) −2.95139e6 5.11197e6i −0.318691 0.551988i
\(211\) 2.45973e6i 0.261842i 0.991393 + 0.130921i \(0.0417934\pi\)
−0.991393 + 0.130921i \(0.958207\pi\)
\(212\) −2.00490e6 3.47260e6i −0.210420 0.364457i
\(213\) −5.71374e6 −0.591264
\(214\) 8.50554e6i 0.867882i
\(215\) 2.99409e6 3.05040e6i 0.301265 0.306931i
\(216\) 5.53684e6 0.549415
\(217\) 1.26349e7i 1.23650i
\(218\) −230251. + 132935.i −0.0222245 + 0.0128313i
\(219\) 3.63341e6 0.345925
\(220\) −794751. + 458849.i −0.0746385 + 0.0430925i
\(221\) −1.34853e7 2.33573e7i −1.24935 2.16394i
\(222\) −4.28852e6 2.47598e6i −0.391966 0.226302i
\(223\) 1.89364e7i 1.70759i −0.520612 0.853793i \(-0.674296\pi\)
0.520612 0.853793i \(-0.325704\pi\)
\(224\) 6.29857e6 1.09094e7i 0.560400 0.970641i
\(225\) 2.78261e6 + 4.81963e6i 0.244290 + 0.423122i
\(226\) 8.42196e6 0.729605
\(227\) −3.72718e6 + 2.15189e6i −0.318642 + 0.183968i −0.650787 0.759260i \(-0.725561\pi\)
0.332145 + 0.943228i \(0.392228\pi\)
\(228\) 4.33221e6 7.50361e6i 0.365515 0.633090i
\(229\) −1.14094e7 + 1.97617e7i −0.950074 + 1.64558i −0.204815 + 0.978801i \(0.565659\pi\)
−0.745259 + 0.666776i \(0.767674\pi\)
\(230\) 420289. 727963.i 0.0345434 0.0598309i
\(231\) 1.18401e7 0.960551
\(232\) 9.28968e6 1.60902e7i 0.743938 1.28854i
\(233\) 2.66804e6 + 1.54039e6i 0.210923 + 0.121777i 0.601740 0.798692i \(-0.294474\pi\)
−0.390817 + 0.920468i \(0.627808\pi\)
\(234\) 6.85047e6 3.95512e6i 0.534654 0.308683i
\(235\) −2.87508e6 + 1.65993e6i −0.221537 + 0.127905i
\(236\) −3.18045e6 −0.241965
\(237\) 2.91305e6i 0.218828i
\(238\) −1.48605e7 2.57391e7i −1.10230 1.90925i
\(239\) 2.69489e6 + 4.66768e6i 0.197400 + 0.341906i 0.947685 0.319208i \(-0.103417\pi\)
−0.750285 + 0.661115i \(0.770084\pi\)
\(240\) −1.66278e6 + 2.88002e6i −0.120282 + 0.208335i
\(241\) 1.49349e7 + 8.62267e6i 1.06697 + 0.616014i 0.927351 0.374192i \(-0.122080\pi\)
0.139616 + 0.990206i \(0.455413\pi\)
\(242\) 8.21377e6i 0.579557i
\(243\) −1.31945e7 7.61783e6i −0.919546 0.530900i
\(244\) 3.63729e6 + 2.09999e6i 0.250385 + 0.144560i
\(245\) −7.03203e6 4.05994e6i −0.478170 0.276072i
\(246\) 1.22664e7 + 2.12461e7i 0.823973 + 1.42716i
\(247\) 2.90138e7i 1.92537i
\(248\) 1.17224e7 6.76794e6i 0.768532 0.443712i
\(249\) −1.27464e7 7.35917e6i −0.825641 0.476684i
\(250\) 9.45771e6 0.605294
\(251\) −6.17532e6 + 1.06960e7i −0.390516 + 0.676393i −0.992518 0.122101i \(-0.961037\pi\)
0.602002 + 0.798495i \(0.294370\pi\)
\(252\) −5.00617e6 + 2.89031e6i −0.312827 + 0.180611i
\(253\) 843039. + 1.46019e6i 0.0520578 + 0.0901668i
\(254\) 4.42677e6i 0.270138i
\(255\) −8.48383e6 1.46944e7i −0.511648 0.886200i
\(256\) −1.64541e7 −0.980740
\(257\) 1.77205e7i 1.04394i −0.852963 0.521972i \(-0.825197\pi\)
0.852963 0.521972i \(-0.174803\pi\)
\(258\) 1.20191e7 + 1.17973e7i 0.699865 + 0.686945i
\(259\) −1.21179e7 −0.697474
\(260\) 4.00311e6i 0.227760i
\(261\) −1.26623e7 + 7.31056e6i −0.712180 + 0.411177i
\(262\) 1.44118e7 0.801336
\(263\) 1.22138e7 7.05165e6i 0.671405 0.387636i −0.125204 0.992131i \(-0.539959\pi\)
0.796609 + 0.604495i \(0.206625\pi\)
\(264\) −6.34220e6 1.09850e7i −0.344689 0.597020i
\(265\) 7.31561e6 + 4.22367e6i 0.393109 + 0.226962i
\(266\) 3.19725e7i 1.69876i
\(267\) −6.62982e6 + 1.14832e7i −0.348312 + 0.603294i
\(268\) −3.92042e6 6.79036e6i −0.203670 0.352768i
\(269\) 2.14683e7 1.10291 0.551456 0.834204i \(-0.314072\pi\)
0.551456 + 0.834204i \(0.314072\pi\)
\(270\) −2.87962e6 + 1.66255e6i −0.146300 + 0.0844664i
\(271\) −1.37437e7 + 2.38047e7i −0.690550 + 1.19607i 0.281108 + 0.959676i \(0.409298\pi\)
−0.971658 + 0.236391i \(0.924035\pi\)
\(272\) −8.37222e6 + 1.45011e7i −0.416039 + 0.720601i
\(273\) 2.58240e7 4.47284e7i 1.26922 2.19835i
\(274\) 1.35893e7 0.660612
\(275\) −4.25937e6 + 7.37745e6i −0.204808 + 0.354738i
\(276\) −1.90213e6 1.09819e6i −0.0904716 0.0522338i
\(277\) −3.23105e7 + 1.86545e7i −1.52021 + 0.877695i −0.520497 + 0.853863i \(0.674253\pi\)
−0.999716 + 0.0238320i \(0.992413\pi\)
\(278\) −9.19751e6 + 5.31018e6i −0.428091 + 0.247158i
\(279\) −1.06521e7 −0.490482
\(280\) 1.54747e7i 0.704932i
\(281\) 7.17388e6 + 1.24255e7i 0.323322 + 0.560010i 0.981171 0.193140i \(-0.0618670\pi\)
−0.657849 + 0.753149i \(0.728534\pi\)
\(282\) −6.54043e6 1.13284e7i −0.291648 0.505149i
\(283\) −1.77367e7 + 3.07209e7i −0.782553 + 1.35542i 0.147898 + 0.989003i \(0.452749\pi\)
−0.930450 + 0.366418i \(0.880584\pi\)
\(284\) 3.69796e6 + 2.13502e6i 0.161439 + 0.0932066i
\(285\) 1.82531e7i 0.788499i
\(286\) 1.04861e7 + 6.05414e6i 0.448244 + 0.258794i
\(287\) 5.19912e7 + 3.00171e7i 2.19930 + 1.26976i
\(288\) 9.19742e6 + 5.31013e6i 0.385025 + 0.222294i
\(289\) −3.06478e7 5.30836e7i −1.26972 2.19921i
\(290\) 1.11577e7i 0.457488i
\(291\) −3.70748e7 + 2.14051e7i −1.50453 + 0.868638i
\(292\) −2.35156e6 1.35767e6i −0.0944512 0.0545314i
\(293\) 3.15473e7 1.25418 0.627088 0.778948i \(-0.284247\pi\)
0.627088 + 0.778948i \(0.284247\pi\)
\(294\) 1.59969e7 2.77075e7i 0.629498 1.09032i
\(295\) 5.80251e6 3.35008e6i 0.226022 0.130494i
\(296\) 6.49099e6 + 1.12427e7i 0.250285 + 0.433507i
\(297\) 6.66967e6i 0.254586i
\(298\) −1.26286e7 2.18733e7i −0.477205 0.826543i
\(299\) 7.35486e6 0.275145
\(300\) 1.10970e7i 0.411001i
\(301\) 3.99060e7 + 1.02953e7i 1.46332 + 0.377520i
\(302\) −3.56391e7 −1.29392
\(303\) 1.18478e7i 0.425903i
\(304\) 1.55997e7 9.00647e6i 0.555258 0.320578i
\(305\) −8.84797e6 −0.311849
\(306\) 2.16998e7 1.25284e7i 0.757342 0.437251i
\(307\) −6.04673e6 1.04732e7i −0.208980 0.361964i 0.742413 0.669942i \(-0.233681\pi\)
−0.951394 + 0.307978i \(0.900348\pi\)
\(308\) −7.66298e6 4.42423e6i −0.262268 0.151421i
\(309\) 5.87584e7i 1.99157i
\(310\) −4.06443e6 + 7.03980e6i −0.136431 + 0.236306i
\(311\) −2.20469e7 3.81863e7i −0.732936 1.26948i −0.955623 0.294593i \(-0.904816\pi\)
0.222687 0.974890i \(-0.428517\pi\)
\(312\) −5.53308e7 −1.82181
\(313\) −2.14728e7 + 1.23973e7i −0.700255 + 0.404292i −0.807442 0.589947i \(-0.799149\pi\)
0.107188 + 0.994239i \(0.465815\pi\)
\(314\) 1.28742e7 2.22988e7i 0.415846 0.720267i
\(315\) 6.08893e6 1.05463e7i 0.194809 0.337419i
\(316\) −1.08850e6 + 1.88534e6i −0.0344959 + 0.0597487i
\(317\) 8.18204e6 0.256853 0.128426 0.991719i \(-0.459007\pi\)
0.128426 + 0.991719i \(0.459007\pi\)
\(318\) −1.66420e7 + 2.88248e7i −0.517518 + 0.896367i
\(319\) −1.93822e7 1.11903e7i −0.597079 0.344724i
\(320\) 1.24167e7 7.16876e6i 0.378926 0.218773i
\(321\) 4.05470e7 2.34098e7i 1.22587 0.707756i
\(322\) 8.10486e6 0.242761
\(323\) 9.19054e7i 2.72730i
\(324\) 8.40903e6 + 1.45649e7i 0.247236 + 0.428225i
\(325\) 1.85799e7 + 3.21813e7i 0.541243 + 0.937461i
\(326\) 4.11617e6 7.12942e6i 0.118807 0.205779i
\(327\) −1.26744e6 731758.i −0.0362481 0.0209278i
\(328\) 6.43150e7i 1.82260i
\(329\) −2.77215e7 1.60050e7i −0.778448 0.449437i
\(330\) 6.59696e6 + 3.80875e6i 0.183570 + 0.105984i
\(331\) −3.95322e6 2.28240e6i −0.109010 0.0629371i 0.444504 0.895777i \(-0.353380\pi\)
−0.553514 + 0.832840i \(0.686713\pi\)
\(332\) 5.49971e6 + 9.52577e6i 0.150288 + 0.260307i
\(333\) 1.02162e7i 0.276667i
\(334\) −2.47514e7 + 1.42902e7i −0.664295 + 0.383531i
\(335\) 1.43050e7 + 8.25902e6i 0.380500 + 0.219682i
\(336\) −3.20651e7 −0.845308
\(337\) 5.02155e6 8.69758e6i 0.131204 0.227252i −0.792937 0.609304i \(-0.791449\pi\)
0.924141 + 0.382051i \(0.124782\pi\)
\(338\) 1.98107e7 1.14377e7i 0.513039 0.296203i
\(339\) 2.31798e7 + 4.01486e7i 0.594991 + 1.03056i
\(340\) 1.26804e7i 0.322624i
\(341\) −8.15264e6 1.41208e7i −0.205606 0.356120i
\(342\) −2.69550e7 −0.673847
\(343\) 1.73083e7i 0.428917i
\(344\) −1.18240e7 4.25386e7i −0.290462 1.04498i
\(345\) 4.62706e6 0.112680
\(346\) 3.35181e7i 0.809191i
\(347\) −2.84111e6 + 1.64031e6i −0.0679984 + 0.0392589i −0.533614 0.845728i \(-0.679166\pi\)
0.465615 + 0.884987i \(0.345833\pi\)
\(348\) 2.91544e7 0.691778
\(349\) −5.13253e6 + 2.96327e6i −0.120741 + 0.0697099i −0.559154 0.829064i \(-0.688874\pi\)
0.438413 + 0.898774i \(0.355541\pi\)
\(350\) 2.04745e7 + 3.54629e7i 0.477540 + 0.827123i
\(351\) −2.51960e7 1.45469e7i −0.582654 0.336395i
\(352\) 1.62565e7i 0.372735i
\(353\) 2.03432e6 3.52354e6i 0.0462482 0.0801042i −0.841975 0.539517i \(-0.818607\pi\)
0.888223 + 0.459413i \(0.151940\pi\)
\(354\) 1.31999e7 + 2.28630e7i 0.297551 + 0.515374i
\(355\) −8.99555e6 −0.201068
\(356\) 8.58170e6 4.95465e6i 0.190206 0.109815i
\(357\) 8.18011e7 1.41684e8i 1.79785 3.11397i
\(358\) 1.54187e7 2.67060e7i 0.336047 0.582050i
\(359\) 1.84451e7 3.19478e7i 0.398655 0.690490i −0.594906 0.803796i \(-0.702811\pi\)
0.993560 + 0.113306i \(0.0361439\pi\)
\(360\) −1.30462e7 −0.279626
\(361\) 2.59110e7 4.48792e7i 0.550760 0.953944i
\(362\) 1.99454e7 + 1.15155e7i 0.420453 + 0.242749i
\(363\) 3.91561e7 2.26068e7i 0.818615 0.472628i
\(364\) −3.34268e7 + 1.92990e7i −0.693092 + 0.400157i
\(365\) 5.72034e6 0.117637
\(366\) 3.48626e7i 0.711077i
\(367\) −1.81628e7 3.14589e7i −0.367438 0.636421i 0.621726 0.783235i \(-0.286432\pi\)
−0.989164 + 0.146813i \(0.953098\pi\)
\(368\) −2.28310e6 3.95444e6i −0.0458121 0.0793490i
\(369\) −2.53065e7 + 4.38321e7i −0.503678 + 0.872396i
\(370\) −6.75172e6 3.89811e6i −0.133294 0.0769571i
\(371\) 8.14492e7i 1.59502i
\(372\) 1.83946e7 + 1.06201e7i 0.357324 + 0.206301i
\(373\) 2.20476e6 + 1.27292e6i 0.0424848 + 0.0245286i 0.521092 0.853501i \(-0.325525\pi\)
−0.478607 + 0.878029i \(0.658858\pi\)
\(374\) 3.32161e7 + 1.91773e7i 0.634942 + 0.366584i
\(375\) 2.60305e7 + 4.50862e7i 0.493616 + 0.854967i
\(376\) 3.42926e7i 0.645114i
\(377\) −8.45475e7 + 4.88135e7i −1.57789 + 0.910995i
\(378\) −2.77653e7 1.60303e7i −0.514076 0.296802i
\(379\) −2.52059e7 −0.463004 −0.231502 0.972834i \(-0.574364\pi\)
−0.231502 + 0.972834i \(0.574364\pi\)
\(380\) 6.82051e6 1.18135e7i 0.124299 0.215291i
\(381\) 2.11030e7 1.21838e7i 0.381566 0.220297i
\(382\) 5.52006e6 + 9.56103e6i 0.0990271 + 0.171520i
\(383\) 6.62860e7i 1.17985i −0.807460 0.589923i \(-0.799158\pi\)
0.807460 0.589923i \(-0.200842\pi\)
\(384\) 1.69115e6 + 2.92916e6i 0.0298668 + 0.0517308i
\(385\) 1.86408e7 0.326649
\(386\) 5.60184e6i 0.0974022i
\(387\) −8.67966e6 + 3.36435e7i −0.149751 + 0.580455i
\(388\) 3.19933e7 0.547726
\(389\) 4.24593e7i 0.721313i 0.932699 + 0.360656i \(0.117447\pi\)
−0.932699 + 0.360656i \(0.882553\pi\)
\(390\) 2.87767e7 1.66142e7i 0.485117 0.280083i
\(391\) 2.32976e7 0.389745
\(392\) −7.26376e7 + 4.19373e7i −1.20588 + 0.696214i
\(393\) 3.96657e7 + 6.87030e7i 0.653488 + 1.13187i
\(394\) 647005. + 373549.i 0.0105784 + 0.00610743i
\(395\) 4.58622e6i 0.0744156i
\(396\) 3.72993e6 6.46042e6i 0.0600641 0.104034i
\(397\) −3.13517e7 5.43028e7i −0.501060 0.867862i −0.999999 0.00122482i \(-0.999610\pi\)
0.498939 0.866637i \(-0.333723\pi\)
\(398\) 3.86524e7 0.613094
\(399\) −1.52417e8 + 8.79981e7i −2.39947 + 1.38533i
\(400\) 1.15351e7 1.99794e7i 0.180236 0.312178i
\(401\) −575801. + 997317.i −0.00892976 + 0.0154668i −0.870456 0.492247i \(-0.836176\pi\)
0.861526 + 0.507713i \(0.169509\pi\)
\(402\) −3.25421e7 + 5.63645e7i −0.500918 + 0.867616i
\(403\) −7.11255e7 −1.08670
\(404\) 4.42710e6 7.66796e6i 0.0671391 0.116288i
\(405\) −3.06834e7 1.77150e7i −0.461889 0.266672i
\(406\) −9.31691e7 + 5.37912e7i −1.39217 + 0.803773i
\(407\) 1.35430e7 7.81903e6i 0.200877 0.115976i
\(408\) −1.75268e8 −2.58061
\(409\) 1.10392e8i 1.61350i −0.590896 0.806748i \(-0.701226\pi\)
0.590896 0.806748i \(-0.298774\pi\)
\(410\) 1.93119e7 + 3.34492e7i 0.280204 + 0.485327i
\(411\) 3.74020e7 + 6.47822e7i 0.538728 + 0.933104i
\(412\) −2.19559e7 + 3.80287e7i −0.313949 + 0.543776i
\(413\) 5.59478e7 + 3.23015e7i 0.794206 + 0.458535i
\(414\) 6.83296e6i 0.0962959i
\(415\) −2.00677e7 1.15861e7i −0.280771 0.162103i
\(416\) 6.14123e7 + 3.54564e7i 0.853052 + 0.492510i
\(417\) −5.06287e7 2.92305e7i −0.698214 0.403114i
\(418\) −2.06301e7 3.57325e7i −0.282471 0.489254i
\(419\) 9.30327e7i 1.26472i −0.774676 0.632359i \(-0.782087\pi\)
0.774676 0.632359i \(-0.217913\pi\)
\(420\) −2.10293e7 + 1.21413e7i −0.283843 + 0.163877i
\(421\) 1.22611e8 + 7.07892e7i 1.64317 + 0.948683i 0.979698 + 0.200479i \(0.0642498\pi\)
0.663469 + 0.748204i \(0.269084\pi\)
\(422\) −1.52585e7 −0.203036
\(423\) 1.34934e7 2.33712e7i 0.178278 0.308787i
\(424\) 7.55668e7 4.36285e7i 0.991365 0.572365i
\(425\) 5.88543e7 + 1.01939e8i 0.766676 + 1.32792i
\(426\) 3.54441e7i 0.458475i
\(427\) −4.26560e7 7.38824e7i −0.547895 0.948981i
\(428\) −3.49896e7 −0.446281
\(429\) 6.66514e7i 0.844184i
\(430\) 1.89226e7 + 1.85733e7i 0.237999 + 0.233605i
\(431\) 1.16660e8 1.45710 0.728550 0.684993i \(-0.240195\pi\)
0.728550 + 0.684993i \(0.240195\pi\)
\(432\) 1.80626e7i 0.224042i
\(433\) −7.64773e6 + 4.41542e6i −0.0942039 + 0.0543886i −0.546362 0.837549i \(-0.683988\pi\)
0.452158 + 0.891938i \(0.350654\pi\)
\(434\) −7.83784e7 −0.958799
\(435\) −5.31902e7 + 3.07094e7i −0.646195 + 0.373081i
\(436\) 546863. + 947195.i 0.00659810 + 0.0114283i
\(437\) −2.17048e7 1.25312e7i −0.260082 0.150159i
\(438\) 2.25392e7i 0.268235i
\(439\) 3.29147e7 5.70099e7i 0.389041 0.673840i −0.603279 0.797530i \(-0.706140\pi\)
0.992321 + 0.123690i \(0.0394730\pi\)
\(440\) −9.98498e6 1.72945e7i −0.117217 0.203025i
\(441\) 6.60055e7 0.769599
\(442\) 1.44892e8 8.36537e7i 1.67795 0.968765i
\(443\) −5.61873e7 + 9.73193e7i −0.646290 + 1.11941i 0.337712 + 0.941249i \(0.390347\pi\)
−0.984002 + 0.178157i \(0.942986\pi\)
\(444\) −1.01855e7 + 1.76419e7i −0.116368 + 0.201556i
\(445\) −1.04378e7 + 1.80788e7i −0.118448 + 0.205159i
\(446\) 1.17468e8 1.32409
\(447\) 6.95153e7 1.20404e8i 0.778320 1.34809i
\(448\) 1.19721e8 + 6.91212e7i 1.33149 + 0.768736i
\(449\) 1.32726e8 7.66293e7i 1.46628 0.846556i 0.466990 0.884263i \(-0.345338\pi\)
0.999289 + 0.0377062i \(0.0120051\pi\)
\(450\) −2.98977e7 + 1.72614e7i −0.328095 + 0.189426i
\(451\) −7.74738e7 −0.844549
\(452\) 3.46458e7i 0.375176i
\(453\) −9.80897e7 1.69896e8i −1.05519 1.82763i
\(454\) −1.33488e7 2.31209e7i −0.142651 0.247080i
\(455\) 4.06566e7 7.04192e7i 0.431615 0.747579i
\(456\) 1.63285e8 + 9.42728e7i 1.72208 + 0.994242i
\(457\) 1.64429e7i 0.172278i −0.996283 0.0861389i \(-0.972547\pi\)
0.996283 0.0861389i \(-0.0274529\pi\)
\(458\) −1.22588e8 7.07763e7i −1.27600 0.736701i
\(459\) −7.98119e7 4.60794e7i −0.825334 0.476507i
\(460\) −2.99466e6 1.72897e6i −0.0307662 0.0177629i
\(461\) −4.19616e7 7.26796e7i −0.428301 0.741840i 0.568421 0.822738i \(-0.307554\pi\)
−0.996722 + 0.0808982i \(0.974221\pi\)
\(462\) 7.34480e7i 0.744825i
\(463\) 1.73378e7 1.00100e7i 0.174683 0.100853i −0.410109 0.912036i \(-0.634509\pi\)
0.584792 + 0.811183i \(0.301176\pi\)
\(464\) 5.24904e7 + 3.03054e7i 0.525444 + 0.303365i
\(465\) −4.47462e7 −0.445038
\(466\) −9.55554e6 + 1.65507e7i −0.0944273 + 0.163553i
\(467\) −1.06776e7 + 6.16471e6i −0.104839 + 0.0605287i −0.551503 0.834173i \(-0.685945\pi\)
0.446664 + 0.894702i \(0.352612\pi\)
\(468\) −1.62704e7 2.81811e7i −0.158730 0.274929i
\(469\) 1.59267e8i 1.54386i
\(470\) −1.02971e7 1.78350e7i −0.0991790 0.171783i
\(471\) 1.41735e8 1.35649
\(472\) 6.92095e7i 0.658173i
\(473\) −5.12419e7 + 1.42432e7i −0.484219 + 0.134593i
\(474\) 1.80706e7 0.169682
\(475\) 1.26626e8i 1.18152i
\(476\) −1.05884e8 + 6.11322e7i −0.981770 + 0.566825i
\(477\) −6.86673e7 −0.632696
\(478\) −2.89551e7 + 1.67172e7i −0.265119 + 0.153067i
\(479\) −7.48247e6 1.29600e7i −0.0680830 0.117923i 0.829974 0.557801i \(-0.188355\pi\)
−0.898057 + 0.439878i \(0.855022\pi\)
\(480\) 3.86355e7 + 2.23062e7i 0.349351 + 0.201698i
\(481\) 6.82150e7i 0.612978i
\(482\) −5.34891e7 + 9.26459e7i −0.477666 + 0.827342i
\(483\) 2.23071e7 + 3.86370e7i 0.197971 + 0.342895i
\(484\) −3.37894e7 −0.298019
\(485\) −5.83695e7 + 3.36996e7i −0.511635 + 0.295393i
\(486\) 4.72558e7 8.18495e7i 0.411667 0.713029i
\(487\) 7.00576e7 1.21343e8i 0.606552 1.05058i −0.385252 0.922811i \(-0.625885\pi\)
0.991804 0.127768i \(-0.0407813\pi\)
\(488\) −4.56977e7 + 7.91507e7i −0.393219 + 0.681076i
\(489\) 4.53159e7 0.387546
\(490\) 2.51851e7 4.36219e7i 0.214070 0.370780i
\(491\) 1.05605e8 + 6.09709e7i 0.892152 + 0.515084i 0.874646 0.484763i \(-0.161094\pi\)
0.0175060 + 0.999847i \(0.494427\pi\)
\(492\) 8.74010e7 5.04610e7i 0.733874 0.423702i
\(493\) −2.67816e8 + 1.54624e8i −2.23509 + 1.29043i
\(494\) −1.79982e8 −1.49296
\(495\) 1.57154e7i 0.129572i
\(496\) 2.20788e7 + 3.82416e7i 0.180938 + 0.313394i
\(497\) −4.33676e7 7.51148e7i −0.353261 0.611866i
\(498\) 4.56512e7 7.90702e7i 0.369628 0.640214i
\(499\) 1.62527e8 + 9.38351e7i 1.30805 + 0.755203i 0.981770 0.190071i \(-0.0608717\pi\)
0.326279 + 0.945273i \(0.394205\pi\)
\(500\) 3.89066e7i 0.311253i
\(501\) −1.36247e8 7.86622e7i −1.08346 0.625537i
\(502\) −6.63505e7 3.83075e7i −0.524485 0.302812i
\(503\) 1.09233e8 + 6.30659e7i 0.858324 + 0.495554i 0.863451 0.504433i \(-0.168298\pi\)
−0.00512643 + 0.999987i \(0.501632\pi\)
\(504\) −6.28958e7 1.08939e8i −0.491281 0.850924i
\(505\) 1.86529e7i 0.144834i
\(506\) −9.05799e6 + 5.22964e6i −0.0699166 + 0.0403664i
\(507\) 1.09050e8 + 6.29602e7i 0.836764 + 0.483106i
\(508\) −1.82106e7 −0.138910
\(509\) 4.23079e7 7.32794e7i 0.320825 0.555685i −0.659834 0.751412i \(-0.729373\pi\)
0.980658 + 0.195727i \(0.0627067\pi\)
\(510\) 9.11541e7 5.26279e7i 0.687173 0.396739i
\(511\) 2.75777e7 + 4.77661e7i 0.206679 + 0.357978i
\(512\) 1.08409e8i 0.807711i
\(513\) 4.95702e7 + 8.58582e7i 0.367171 + 0.635960i
\(514\) 1.09926e8 0.809489
\(515\) 9.25076e7i 0.677261i
\(516\) 4.85309e7 4.94437e7i 0.353240 0.359883i
\(517\) 4.13088e7 0.298931
\(518\) 7.51711e7i 0.540831i
\(519\) −1.59785e8 + 9.22521e7i −1.14297 + 0.659894i
\(520\) −8.71112e7 −0.619532
\(521\) −1.29051e8 + 7.45079e7i −0.912535 + 0.526852i −0.881246 0.472658i \(-0.843295\pi\)
−0.0312890 + 0.999510i \(0.509961\pi\)
\(522\) −4.53497e7 7.85480e7i −0.318833 0.552234i
\(523\) −6.41649e7 3.70456e7i −0.448531 0.258959i 0.258679 0.965963i \(-0.416713\pi\)
−0.707210 + 0.707004i \(0.750046\pi\)
\(524\) 5.92865e7i 0.412062i
\(525\) −1.12704e8 + 1.95210e8i −0.778866 + 1.34903i
\(526\) 4.37436e7 + 7.57662e7i 0.300578 + 0.520617i
\(527\) −2.25300e8 −1.53932
\(528\) 3.58360e7 2.06899e7i 0.243454 0.140558i
\(529\) 7.08413e7 1.22701e8i 0.478542 0.828858i
\(530\) −2.62008e7 + 4.53810e7i −0.175989 + 0.304822i
\(531\) −2.72324e7 + 4.71679e7i −0.181887 + 0.315038i
\(532\) 1.31527e8 0.873533
\(533\) −1.68975e8 + 2.92673e8i −1.11594 + 1.93286i
\(534\) −7.12338e7 4.11269e7i −0.467803 0.270086i
\(535\) 6.38361e7 3.68558e7i 0.416874 0.240683i
\(536\) 1.47764e8 8.53118e7i 0.959568 0.554007i
\(537\) 1.69748e8 1.09618
\(538\) 1.33175e8i 0.855215i
\(539\) 5.05176e7 + 8.74991e7i 0.322609 + 0.558775i
\(540\) 6.83932e6 + 1.18460e7i 0.0434342 + 0.0752302i
\(541\) −1.21099e8 + 2.09749e8i −0.764800 + 1.32467i 0.175553 + 0.984470i \(0.443829\pi\)
−0.940352 + 0.340202i \(0.889505\pi\)
\(542\) −1.47668e8 8.52564e7i −0.927448 0.535462i
\(543\) 1.26777e8i 0.791844i
\(544\) 1.94532e8 + 1.12313e8i 1.20836 + 0.697644i
\(545\) −1.99543e6 1.15206e6i −0.0123267 0.00711681i
\(546\) 2.77465e8 + 1.60194e8i 1.70463 + 0.984168i
\(547\) −2.17719e7 3.77101e7i −0.133025 0.230407i 0.791816 0.610760i \(-0.209136\pi\)
−0.924841 + 0.380353i \(0.875803\pi\)
\(548\) 5.59031e7i 0.339699i
\(549\) 6.22880e7 3.59620e7i 0.376433 0.217333i
\(550\) −4.57647e7 2.64222e7i −0.275069 0.158811i
\(551\) 3.32675e8 1.98868
\(552\) 2.38977e7 4.13920e7i 0.142082 0.246093i
\(553\) 3.82960e7 2.21102e7i 0.226453 0.130743i
\(554\) −1.15720e8 2.00432e8i −0.680578 1.17880i
\(555\) 4.29151e7i 0.251033i
\(556\) 2.18448e7 + 3.78362e7i 0.127093 + 0.220132i
\(557\) 5.85664e7 0.338909 0.169455 0.985538i \(-0.445799\pi\)
0.169455 + 0.985538i \(0.445799\pi\)
\(558\) 6.60784e7i 0.380327i
\(559\) −5.79552e7 + 2.24642e8i −0.331785 + 1.28604i
\(560\) −5.04824e7 −0.287459
\(561\) 2.11127e8i 1.19579i
\(562\) −7.70794e7 + 4.45018e7i −0.434240 + 0.250708i
\(563\) 2.07101e7 0.116053 0.0580266 0.998315i \(-0.481519\pi\)
0.0580266 + 0.998315i \(0.481519\pi\)
\(564\) −4.66020e7 + 2.69057e7i −0.259757 + 0.149971i
\(565\) 3.64936e7 + 6.32088e7i 0.202335 + 0.350455i
\(566\) −1.90571e8 1.10026e8i −1.05101 0.606803i
\(567\) 3.41617e8i 1.87409i
\(568\) −4.64599e7 + 8.04710e7i −0.253532 + 0.439131i
\(569\) 1.48797e8 + 2.57724e8i 0.807713 + 1.39900i 0.914444 + 0.404712i \(0.132628\pi\)
−0.106732 + 0.994288i \(0.534039\pi\)
\(570\) −1.13230e8 −0.611414
\(571\) −1.96290e8 + 1.13328e8i −1.05436 + 0.608737i −0.923868 0.382711i \(-0.874990\pi\)
−0.130496 + 0.991449i \(0.541657\pi\)
\(572\) 2.49052e7 4.31371e7i 0.133077 0.230496i
\(573\) −3.03858e7 + 5.26298e7i −0.161513 + 0.279748i
\(574\) −1.86206e8 + 3.22518e8i −0.984594 + 1.70537i
\(575\) −3.20990e7 −0.168845
\(576\) −5.82739e7 + 1.00933e8i −0.304935 + 0.528162i
\(577\) −2.98289e8 1.72217e8i −1.55278 0.896497i −0.997914 0.0645551i \(-0.979437\pi\)
−0.554863 0.831941i \(-0.687229\pi\)
\(578\) 3.29295e8 1.90118e8i 1.70530 0.984556i
\(579\) 2.67047e7 1.54180e7i 0.137579 0.0794313i
\(580\) 4.58999e7 0.235249
\(581\) 2.23426e8i 1.13921i
\(582\) −1.32783e8 2.29986e8i −0.673554 1.16663i
\(583\) −5.25549e7 9.10277e7i −0.265221 0.459375i
\(584\) 2.95442e7 5.11721e7i 0.148332 0.256918i
\(585\) 5.93682e7 + 3.42763e7i 0.296542 + 0.171209i
\(586\) 1.95698e8i 0.972507i
\(587\) −1.96030e8 1.13178e8i −0.969191 0.559562i −0.0702012 0.997533i \(-0.522364\pi\)
−0.898989 + 0.437970i \(0.855697\pi\)
\(588\) −1.13982e8 6.58073e7i −0.560664 0.323700i
\(589\) 2.09897e8 + 1.21184e8i 1.02721 + 0.593061i
\(590\) 2.07816e7 + 3.59948e7i 0.101187 + 0.175260i
\(591\) 4.11248e6i 0.0199224i
\(592\) −3.66767e7 + 2.11753e7i −0.176777 + 0.102062i
\(593\) 2.50649e8 + 1.44712e8i 1.20199 + 0.693972i 0.960998 0.276555i \(-0.0891927\pi\)
0.240996 + 0.970526i \(0.422526\pi\)
\(594\) 4.13741e7 0.197410
\(595\) 1.28785e8 2.23063e8i 0.611386 1.05895i
\(596\) −8.99813e7 + 5.19507e7i −0.425024 + 0.245388i
\(597\) 1.06383e8 + 1.84261e8i 0.499977 + 0.865985i
\(598\) 4.56245e7i 0.213351i
\(599\) −1.35327e7 2.34393e7i −0.0629657 0.109060i 0.832824 0.553538i \(-0.186723\pi\)
−0.895790 + 0.444478i \(0.853389\pi\)
\(600\) 2.41482e8 1.11797
\(601\) 2.60433e8i 1.19970i −0.800112 0.599850i \(-0.795227\pi\)
0.800112 0.599850i \(-0.204773\pi\)
\(602\) −6.38651e7 + 2.47549e8i −0.292734 + 1.13468i
\(603\) −1.34273e8 −0.612403
\(604\) 1.46610e8i 0.665355i
\(605\) 6.16463e7 3.55915e7i 0.278382 0.160724i
\(606\) −7.34957e7 −0.330251
\(607\) −1.24979e8 + 7.21569e7i −0.558820 + 0.322635i −0.752672 0.658396i \(-0.771235\pi\)
0.193852 + 0.981031i \(0.437902\pi\)
\(608\) −1.20822e8 2.09269e8i −0.537569 0.931096i
\(609\) −5.12860e8 2.96100e8i −2.27063 1.31095i
\(610\) 5.48867e7i 0.241812i
\(611\) 9.00968e7 1.56052e8i 0.394990 0.684142i
\(612\) −5.15387e7 8.92676e7i −0.224843 0.389439i
\(613\) 2.49331e8 1.08242 0.541209 0.840888i \(-0.317967\pi\)
0.541209 + 0.840888i \(0.317967\pi\)
\(614\) 6.49688e7 3.75098e7i 0.280672 0.162046i
\(615\) −1.06305e8 + 1.84125e8i −0.457011 + 0.791567i
\(616\) 9.62752e7 1.66753e8i 0.411881 0.713399i
\(617\) −9.28316e7 + 1.60789e8i −0.395221 + 0.684543i −0.993129 0.117021i \(-0.962665\pi\)
0.597908 + 0.801565i \(0.295999\pi\)
\(618\) 3.64497e8 1.54429
\(619\) 1.43768e8 2.49014e8i 0.606166 1.04991i −0.385700 0.922624i \(-0.626040\pi\)
0.991866 0.127286i \(-0.0406267\pi\)
\(620\) 2.89599e7 + 1.67200e7i 0.121513 + 0.0701556i
\(621\) 2.17646e7 1.25658e7i 0.0908816 0.0524705i
\(622\) 2.36882e8 1.36764e8i 0.984375 0.568329i
\(623\) −2.01283e8 −0.832420
\(624\) 1.80503e8i 0.742902i
\(625\) −5.85095e7 1.01342e8i −0.239655 0.415095i
\(626\) −7.69046e7 1.33203e8i −0.313494 0.542988i
\(627\) 1.13561e8 1.96693e8i 0.460709 0.797971i
\(628\) −9.17318e7 5.29614e7i −0.370375 0.213836i
\(629\) 2.16081e8i 0.868288i
\(630\) 6.54222e7 + 3.77715e7i 0.261640 + 0.151058i
\(631\) 1.51379e8 + 8.73987e7i 0.602528 + 0.347870i 0.770036 0.638001i \(-0.220238\pi\)
−0.167507 + 0.985871i \(0.553572\pi\)
\(632\) −4.10267e7 2.36868e7i −0.162523 0.0938328i
\(633\) −4.19959e7 7.27391e7i −0.165576 0.286785i
\(634\) 5.07558e7i 0.199167i
\(635\) 3.32240e7 1.91819e7i 0.129757 0.0749152i
\(636\) 1.18578e8 + 6.84611e7i 0.460928 + 0.266117i
\(637\) 4.40727e8 1.70511
\(638\) 6.94172e7 1.20234e8i 0.267304 0.462984i
\(639\) 6.33270e7 3.65618e7i 0.242709 0.140128i
\(640\) 2.66250e6 + 4.61159e6i 0.0101566 + 0.0175918i
\(641\) 1.89612e8i 0.719932i 0.932965 + 0.359966i \(0.117212\pi\)
−0.932965 + 0.359966i \(0.882788\pi\)
\(642\) 1.45219e8 + 2.51526e8i 0.548804 + 0.950557i
\(643\) 1.33022e8 0.500369 0.250184 0.968198i \(-0.419509\pi\)
0.250184 + 0.968198i \(0.419509\pi\)
\(644\) 3.33414e7i 0.124832i
\(645\) −3.64605e7 + 1.41326e8i −0.135876 + 0.526674i
\(646\) −5.70118e8 −2.11479
\(647\) 1.37461e8i 0.507537i −0.967265 0.253769i \(-0.918330\pi\)
0.967265 0.253769i \(-0.0816702\pi\)
\(648\) −3.16945e8 + 1.82988e8i −1.16482 + 0.672509i
\(649\) −8.33697e7 −0.304982
\(650\) −1.99631e8 + 1.15257e8i −0.726921 + 0.419688i
\(651\) −2.15721e8 3.73640e8i −0.781898 1.35429i
\(652\) −2.93286e7 1.69329e7i −0.105815 0.0610926i
\(653\) 1.14931e8i 0.412758i −0.978472 0.206379i \(-0.933832\pi\)
0.978472 0.206379i \(-0.0661680\pi\)
\(654\) 4.53933e6 7.86234e6i 0.0162277 0.0281073i
\(655\) 6.24486e7 + 1.08164e8i 0.222228 + 0.384910i
\(656\) 2.09812e8 0.743224
\(657\) −4.02701e7 + 2.32499e7i −0.141999 + 0.0819834i
\(658\) 9.92843e7 1.71965e8i 0.348500 0.603620i
\(659\) 1.87292e8 3.24399e8i 0.654428 1.13350i −0.327608 0.944814i \(-0.606243\pi\)
0.982037 0.188690i \(-0.0604240\pi\)
\(660\) 1.56683e7 2.71382e7i 0.0544990 0.0943951i
\(661\) −4.84528e8 −1.67770 −0.838851 0.544361i \(-0.816772\pi\)
−0.838851 + 0.544361i \(0.816772\pi\)
\(662\) 1.41584e7 2.45231e7i 0.0488024 0.0845282i
\(663\) 7.97576e8 + 4.60481e8i 2.73673 + 1.58005i
\(664\) −2.07289e8 + 1.19679e8i −0.708065 + 0.408801i
\(665\) −2.39961e8 + 1.38542e8i −0.815974 + 0.471103i
\(666\) 6.33744e7 0.214532
\(667\) 8.43314e7i 0.284192i
\(668\) 5.87865e7 + 1.01821e8i 0.197219 + 0.341593i
\(669\) 3.23309e8 + 5.59988e8i 1.07979 + 1.87025i
\(670\) −5.12333e7 + 8.87387e7i −0.170345 + 0.295045i
\(671\) 9.53448e7 + 5.50473e7i 0.315595 + 0.182209i
\(672\) 4.30153e8i 1.41747i
\(673\) 3.55951e8 + 2.05508e8i 1.16774 + 0.674193i 0.953146 0.302510i \(-0.0978247\pi\)
0.214591 + 0.976704i \(0.431158\pi\)
\(674\) 5.39538e7 + 3.11502e7i 0.176215 + 0.101738i
\(675\) 1.09964e8 + 6.34875e7i 0.357551 + 0.206432i
\(676\) −4.70519e7 8.14963e7i −0.152313 0.263814i
\(677\) 1.63502e8i 0.526935i −0.964668 0.263467i \(-0.915134\pi\)
0.964668 0.263467i \(-0.0848662\pi\)
\(678\) −2.49054e8 + 1.43792e8i −0.799107 + 0.461365i
\(679\) −5.62799e8 3.24932e8i −1.79781 1.03797i
\(680\) −2.75937e8 −0.877573
\(681\) 7.34802e7 1.27271e8i 0.232664 0.402986i
\(682\) 8.75957e7 5.05734e7i 0.276140 0.159430i
\(683\) −5.22561e7 9.05102e7i −0.164012 0.284077i 0.772292 0.635268i \(-0.219110\pi\)
−0.936304 + 0.351191i \(0.885777\pi\)
\(684\) 1.10886e8i 0.346505i
\(685\) 5.88847e7 + 1.01991e8i 0.183202 + 0.317316i
\(686\) 1.07369e8 0.332588
\(687\) 7.79192e8i 2.40311i
\(688\) 1.38772e8 3.85730e7i 0.426125 0.118445i
\(689\) −4.58500e8 −1.40179
\(690\) 2.87031e7i 0.0873739i
\(691\) 3.48853e8 2.01410e8i 1.05732 0.610446i 0.132633 0.991165i \(-0.457657\pi\)
0.924691 + 0.380719i \(0.124323\pi\)
\(692\) 1.37885e8 0.416101
\(693\) −1.31227e8 + 7.57642e7i −0.394298 + 0.227648i
\(694\) −1.01754e7 1.76243e7i −0.0304419 0.0527270i
\(695\) −7.97084e7 4.60197e7i −0.237438 0.137085i
\(696\) 6.34427e8i 1.88171i
\(697\) −5.35251e8 + 9.27082e8i −1.58073 + 2.73791i
\(698\) −1.83821e7 3.18387e7i −0.0540541 0.0936244i
\(699\) −1.05199e8 −0.308021
\(700\) 1.45885e8 8.42270e7i 0.425322 0.245560i
\(701\) 6.38983e7 1.10675e8i 0.185496 0.321289i −0.758247 0.651967i \(-0.773944\pi\)
0.943744 + 0.330678i \(0.107277\pi\)
\(702\) 9.02391e7 1.56299e8i 0.260846 0.451798i
\(703\) −1.16225e8 + 2.01308e8i −0.334529 + 0.579421i
\(704\) −1.78401e8 −0.511304
\(705\) 5.66813e7 9.81750e7i 0.161761 0.280178i
\(706\) 2.18576e7 + 1.26195e7i 0.0621140 + 0.0358615i
\(707\) −1.55756e8 + 8.99255e7i −0.440743 + 0.254463i
\(708\) 9.40525e7 5.43012e7i 0.265015 0.153006i
\(709\) −4.60321e8 −1.29158 −0.645791 0.763514i \(-0.723472\pi\)
−0.645791 + 0.763514i \(0.723472\pi\)
\(710\) 5.58023e7i 0.155911i
\(711\) 1.86404e7 + 3.22861e7i 0.0518617 + 0.0898271i
\(712\) 1.07818e8 + 1.86746e8i 0.298710 + 0.517381i
\(713\) 3.07195e7 5.32078e7i 0.0847512 0.146793i
\(714\) 8.78908e8 + 5.07438e8i 2.41462 + 1.39408i
\(715\) 1.04934e8i 0.287077i
\(716\) −1.09862e8 6.34288e7i −0.299301 0.172801i
\(717\) −1.59386e8 9.20218e7i −0.432408 0.249651i
\(718\) 1.98182e8 + 1.14421e8i 0.535416 + 0.309123i
\(719\) −6.61492e7 1.14574e8i −0.177966 0.308247i 0.763217 0.646142i \(-0.223619\pi\)
−0.941184 + 0.337895i \(0.890285\pi\)
\(720\) 4.25601e7i 0.114026i
\(721\) 7.72459e8 4.45979e8i 2.06096 1.18990i
\(722\) 2.78400e8 + 1.60734e8i 0.739702 + 0.427067i
\(723\) −5.88874e8 −1.55814
\(724\) 4.73718e7 8.20504e7i 0.124826 0.216205i
\(725\) 3.68993e8 2.13038e8i 0.968287 0.559041i
\(726\) 1.40237e8 + 2.42898e8i 0.366482 + 0.634766i
\(727\) 8.29080e7i 0.215771i 0.994163 + 0.107885i \(0.0344080\pi\)
−0.994163 + 0.107885i \(0.965592\pi\)
\(728\) −4.19963e8 7.27397e8i −1.08847 1.88529i
\(729\) 3.98068e7 0.102748
\(730\) 3.54851e7i 0.0912172i
\(731\) −1.83581e8 + 7.11585e8i −0.469976 + 1.82169i
\(732\) −1.43416e8 −0.365649
\(733\) 1.96454e8i 0.498827i 0.968397 + 0.249413i \(0.0802378\pi\)
−0.968397 + 0.249413i \(0.919762\pi\)
\(734\) 1.95149e8 1.12669e8i 0.493490 0.284917i
\(735\) 2.77269e8 0.698294
\(736\) −5.30487e7 + 3.06277e7i −0.133058 + 0.0768211i
\(737\) −1.02767e8 1.77997e8i −0.256714 0.444641i
\(738\) −2.71905e8 1.56984e8i −0.676468 0.390559i
\(739\) 2.13462e8i 0.528916i 0.964397 + 0.264458i \(0.0851931\pi\)
−0.964397 + 0.264458i \(0.914807\pi\)
\(740\) −1.60358e7 + 2.77749e7i −0.0395728 + 0.0685420i
\(741\) −4.95366e8 8.57998e8i −1.21751 2.10878i
\(742\) −5.05255e8 −1.23680
\(743\) −6.05847e8 + 3.49786e8i −1.47706 + 0.852778i −0.999664 0.0259125i \(-0.991751\pi\)
−0.477391 + 0.878691i \(0.658418\pi\)
\(744\) −2.31104e8 + 4.00283e8i −0.561162 + 0.971960i
\(745\) 1.09443e8 1.89561e8i 0.264679 0.458437i
\(746\) −7.89630e6 + 1.36768e7i −0.0190199 + 0.0329434i
\(747\) 1.88363e8 0.451892
\(748\) 7.88907e7 1.36643e8i 0.188504 0.326499i
\(749\) 6.15508e8 + 3.55364e8i 1.46483 + 0.845722i
\(750\) −2.79684e8 + 1.61476e8i −0.662954 + 0.382757i
\(751\) −2.45634e8 + 1.41817e8i −0.579920 + 0.334817i −0.761102 0.648632i \(-0.775341\pi\)
0.181181 + 0.983450i \(0.442008\pi\)
\(752\) −1.11871e8 −0.263066
\(753\) 4.21736e8i 0.987769i
\(754\) −3.02806e8 5.24475e8i −0.706399 1.22352i
\(755\) −1.54430e8 2.67480e8i −0.358831 0.621513i
\(756\) −6.59447e7 + 1.14220e8i −0.152621 + 0.264348i
\(757\) 7.03780e7 + 4.06328e7i 0.162237 + 0.0936675i 0.578920 0.815384i \(-0.303474\pi\)
−0.416683 + 0.909052i \(0.636808\pi\)
\(758\) 1.56360e8i 0.359020i
\(759\) −4.98607e7 2.87871e7i −0.114034 0.0658374i
\(760\) 2.57072e8 + 1.48421e8i 0.585617 + 0.338106i
\(761\) −3.43132e8 1.98107e8i −0.778587 0.449518i 0.0573420 0.998355i \(-0.481737\pi\)
−0.835929 + 0.548837i \(0.815071\pi\)
\(762\) 7.55801e7 + 1.30909e8i 0.170821 + 0.295872i
\(763\) 2.22163e7i 0.0500148i
\(764\) 3.93317e7 2.27082e7i 0.0881987 0.0509216i