Properties

Label 43.7.h.a.3.8
Level 43
Weight 7
Character 43.3
Analytic conductor 9.892
Analytic rank 0
Dimension 252
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.h (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(252\)
Relative dimension: \(21\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 3.8
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.45963 + 5.10748i) q^{2} +(-50.4681 - 3.78206i) q^{3} +(19.8668 + 24.9121i) q^{4} +(-59.6400 + 193.348i) q^{5} +(143.450 - 248.462i) q^{6} +(-466.054 + 269.077i) q^{7} +(-529.815 + 120.927i) q^{8} +(1811.86 + 273.095i) q^{9} +O(q^{10})\) \(q+(-2.45963 + 5.10748i) q^{2} +(-50.4681 - 3.78206i) q^{3} +(19.8668 + 24.9121i) q^{4} +(-59.6400 + 193.348i) q^{5} +(143.450 - 248.462i) q^{6} +(-466.054 + 269.077i) q^{7} +(-529.815 + 120.927i) q^{8} +(1811.86 + 273.095i) q^{9} +(-840.829 - 780.176i) q^{10} +(-34.7049 + 43.5186i) q^{11} +(-908.418 - 1332.40i) q^{12} +(261.325 - 242.475i) q^{13} +(-227.981 - 3042.19i) q^{14} +(3741.17 - 9532.34i) q^{15} +(231.737 - 1015.30i) q^{16} +(769.633 - 237.400i) q^{17} +(-5851.35 + 8582.35i) q^{18} +(396.212 + 2628.70i) q^{19} +(-6001.56 + 2355.44i) q^{20} +(24538.5 - 11817.1i) q^{21} +(-136.909 - 284.295i) q^{22} +(6634.63 + 16904.7i) q^{23} +(27196.1 - 4099.15i) q^{24} +(-20916.5 - 14260.7i) q^{25} +(595.670 + 1931.11i) q^{26} +(-54439.1 - 12425.4i) q^{27} +(-15962.3 - 6264.72i) q^{28} +(17807.8 - 1334.51i) q^{29} +(39484.4 + 42554.0i) q^{30} +(-31229.9 + 21292.2i) q^{31} +(-22576.6 - 18004.2i) q^{32} +(1916.08 - 2065.04i) q^{33} +(-680.498 + 4514.81i) q^{34} +(-24230.0 - 106158. i) q^{35} +(29192.5 + 50562.9i) q^{36} +(63268.5 + 36528.1i) q^{37} +(-14400.6 - 4441.98i) q^{38} +(-14105.6 + 11248.9i) q^{39} +(8217.19 - 109651. i) q^{40} +(61278.6 + 29510.2i) q^{41} +154396. i q^{42} +(-67855.8 + 41436.1i) q^{43} -1773.61 q^{44} +(-160862. + 334033. i) q^{45} +(-102659. - 7693.27i) q^{46} +(13157.5 + 16498.9i) q^{47} +(-15535.2 + 50364.0i) q^{48} +(85979.8 - 148921. i) q^{49} +(124283. - 71754.9i) q^{50} +(-39739.8 + 9070.34i) q^{51} +(11232.2 + 1692.99i) q^{52} +(10214.4 + 9477.59i) q^{53} +(197363. - 247485. i) q^{54} +(-6344.43 - 9305.57i) q^{55} +(214384. - 198919. i) q^{56} +(-10054.2 - 134164. i) q^{57} +(-36984.7 + 94235.5i) q^{58} +(25806.3 - 113065. i) q^{59} +(311796. - 96176.2i) q^{60} +(-2404.57 + 3526.86i) q^{61} +(-31935.3 - 211877. i) q^{62} +(-917910. + 360253. i) q^{63} +(207536. - 99944.3i) q^{64} +(31296.5 + 64987.9i) q^{65} +(5834.32 + 14865.6i) q^{66} +(-195421. + 29454.9i) q^{67} +(21204.3 + 14456.8i) q^{68} +(-270902. - 878243. i) q^{69} +(601799. + 137357. i) q^{70} +(309824. + 121597. i) q^{71} +(-992978. + 74413.4i) q^{72} +(-267614. - 288420. i) q^{73} +(-342184. + 233297. i) q^{74} +(1.00168e6 + 798815. i) q^{75} +(-57614.9 + 62094.1i) q^{76} +(4464.54 - 29620.3i) q^{77} +(-22758.7 - 99712.5i) q^{78} +(-28078.1 - 48632.7i) q^{79} +(182486. + 105358. i) q^{80} +(1.42402e6 + 439251. i) q^{81} +(-301446. + 240395. i) q^{82} +(49963.9 - 666722. i) q^{83} +(781890. + 376539. i) q^{84} +162966. i q^{85} +(-44733.5 - 448490. i) q^{86} -903773. q^{87} +(13124.6 - 27253.6i) q^{88} +(-902111. - 67603.9i) q^{89} +(-1.31041e6 - 1.64320e6i) q^{90} +(-56547.6 + 183323. i) q^{91} +(-289325. + 501125. i) q^{92} +(1.65664e6 - 956461. i) q^{93} +(-116631. + 26620.2i) q^{94} +(-531883. - 80168.5i) q^{95} +(1.07130e6 + 994024. i) q^{96} +(-1.12713e6 + 1.41337e6i) q^{97} +(549135. + 805433. i) q^{98} +(-74765.3 + 69372.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + O(q^{10}) \) \( 252q - 14q^{2} - 11q^{3} + 1180q^{4} - 11q^{5} - 118q^{6} + 126q^{7} - 2254q^{8} - 8178q^{9} + 967q^{10} + 4090q^{11} - 484q^{12} + 1527q^{13} + 7812q^{14} - 8923q^{15} - 13760q^{16} - 3655q^{17} + 5596q^{18} + 38605q^{19} + 26085q^{20} + 24873q^{21} - 25214q^{22} + 27991q^{23} - 20480q^{24} - 24146q^{25} - 34923q^{26} - 14q^{27} - 77634q^{28} - 112735q^{29} + 375072q^{30} + 290647q^{31} - 344064q^{32} - 152174q^{33} - 198311q^{34} - 182471q^{35} - 930891q^{36} + 282762q^{37} + 487342q^{38} + 857290q^{39} + 745459q^{40} + 27674q^{41} + 148802q^{43} - 1255832q^{44} - 191310q^{45} - 1344785q^{46} + 69166q^{47} - 871241q^{48} + 1786604q^{49} + 837705q^{50} - 182756q^{51} + 2906416q^{52} + 7779q^{53} + 487154q^{54} - 529592q^{55} - 2464007q^{56} - 767855q^{57} - 1523780q^{58} + 1531338q^{59} - 1858647q^{60} + 646957q^{61} - 448559q^{62} - 2007847q^{63} + 3937366q^{64} - 1473542q^{65} + 1513319q^{66} - 575523q^{67} + 2717157q^{68} + 967041q^{69} + 4624473q^{70} - 2149319q^{71} - 9986371q^{72} - 514565q^{73} - 882972q^{74} - 6655138q^{75} + 1152658q^{76} - 341803q^{77} + 6322388q^{78} - 2476742q^{79} + 10750038q^{80} + 4308941q^{81} + 5079172q^{82} + 2318609q^{83} + 5578407q^{84} + 585292q^{86} - 1990710q^{87} - 2864890q^{88} - 4561993q^{89} - 17681545q^{90} - 4648506q^{91} - 1991714q^{92} - 8868294q^{93} - 10200218q^{94} + 10091737q^{95} + 6250318q^{96} - 1676750q^{97} + 7512700q^{98} + 18452884q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.45963 + 5.10748i −0.307454 + 0.638436i −0.996250 0.0865199i \(-0.972425\pi\)
0.688796 + 0.724955i \(0.258140\pi\)
\(3\) −50.4681 3.78206i −1.86919 0.140076i −0.908531 0.417816i \(-0.862796\pi\)
−0.960656 + 0.277740i \(0.910415\pi\)
\(4\) 19.8668 + 24.9121i 0.310418 + 0.389252i
\(5\) −59.6400 + 193.348i −0.477120 + 1.54678i 0.322675 + 0.946510i \(0.395418\pi\)
−0.799794 + 0.600274i \(0.795058\pi\)
\(6\) 143.450 248.462i 0.664120 1.15029i
\(7\) −466.054 + 269.077i −1.35876 + 0.784480i −0.989457 0.144830i \(-0.953737\pi\)
−0.369302 + 0.929309i \(0.620403\pi\)
\(8\) −529.815 + 120.927i −1.03480 + 0.236185i
\(9\) 1811.86 + 273.095i 2.48541 + 0.374615i
\(10\) −840.829 780.176i −0.840829 0.780176i
\(11\) −34.7049 + 43.5186i −0.0260743 + 0.0326962i −0.794698 0.607005i \(-0.792371\pi\)
0.768623 + 0.639702i \(0.220942\pi\)
\(12\) −908.418 1332.40i −0.525705 0.771067i
\(13\) 261.325 242.475i 0.118946 0.110366i −0.618457 0.785818i \(-0.712242\pi\)
0.737404 + 0.675452i \(0.236052\pi\)
\(14\) −227.981 3042.19i −0.0830834 1.10867i
\(15\) 3741.17 9532.34i 1.10849 2.82440i
\(16\) 231.737 1015.30i 0.0565763 0.247877i
\(17\) 769.633 237.400i 0.156652 0.0483209i −0.215437 0.976518i \(-0.569118\pi\)
0.372090 + 0.928197i \(0.378641\pi\)
\(18\) −5851.35 + 8582.35i −1.00332 + 1.47160i
\(19\) 396.212 + 2628.70i 0.0577653 + 0.383248i 0.998969 + 0.0454069i \(0.0144584\pi\)
−0.941203 + 0.337841i \(0.890303\pi\)
\(20\) −6001.56 + 2355.44i −0.750195 + 0.294430i
\(21\) 24538.5 11817.1i 2.64966 1.27601i
\(22\) −136.909 284.295i −0.0128577 0.0266993i
\(23\) 6634.63 + 16904.7i 0.545297 + 1.38939i 0.892263 + 0.451516i \(0.149117\pi\)
−0.346966 + 0.937878i \(0.612788\pi\)
\(24\) 27196.1 4099.15i 1.96731 0.296524i
\(25\) −20916.5 14260.7i −1.33866 0.912682i
\(26\) 595.670 + 1931.11i 0.0338911 + 0.109872i
\(27\) −54439.1 12425.4i −2.76579 0.631274i
\(28\) −15962.3 6264.72i −0.727143 0.285383i
\(29\) 17807.8 1334.51i 0.730158 0.0547177i 0.295537 0.955331i \(-0.404501\pi\)
0.434621 + 0.900614i \(0.356882\pi\)
\(30\) 39484.4 + 42554.0i 1.46238 + 1.57607i
\(31\) −31229.9 + 21292.2i −1.04830 + 0.714718i −0.959608 0.281341i \(-0.909221\pi\)
−0.0886909 + 0.996059i \(0.528268\pi\)
\(32\) −22576.6 18004.2i −0.688983 0.549445i
\(33\) 1916.08 2065.04i 0.0533177 0.0574628i
\(34\) −680.498 + 4514.81i −0.0173137 + 0.114869i
\(35\) −24230.0 106158.i −0.565130 2.47600i
\(36\) 29192.5 + 50562.9i 0.625697 + 1.08374i
\(37\) 63268.5 + 36528.1i 1.24906 + 0.721144i 0.970922 0.239398i \(-0.0769500\pi\)
0.278136 + 0.960542i \(0.410283\pi\)
\(38\) −14400.6 4441.98i −0.262439 0.0809517i
\(39\) −14105.6 + 11248.9i −0.237793 + 0.189634i
\(40\) 8217.19 109651.i 0.128394 1.71329i
\(41\) 61278.6 + 29510.2i 0.889114 + 0.428175i 0.821945 0.569567i \(-0.192889\pi\)
0.0671692 + 0.997742i \(0.478603\pi\)
\(42\) 154396.i 2.08395i
\(43\) −67855.8 + 41436.1i −0.853457 + 0.521163i
\(44\) −1773.61 −0.0208210
\(45\) −160862. + 334033.i −1.76529 + 3.66566i
\(46\) −102659. 7693.27i −1.05469 0.0790382i
\(47\) 13157.5 + 16498.9i 0.126730 + 0.158914i 0.841148 0.540805i \(-0.181880\pi\)
−0.714419 + 0.699719i \(0.753309\pi\)
\(48\) −15535.2 + 50364.0i −0.140473 + 0.455404i
\(49\) 85979.8 148921.i 0.730817 1.26581i
\(50\) 124283. 71754.9i 0.994265 0.574039i
\(51\) −39739.8 + 9070.34i −0.299581 + 0.0683775i
\(52\) 11232.2 + 1692.99i 0.0798834 + 0.0120405i
\(53\) 10214.4 + 9477.59i 0.0686097 + 0.0636605i 0.713732 0.700418i \(-0.247003\pi\)
−0.645123 + 0.764079i \(0.723194\pi\)
\(54\) 197363. 247485.i 1.25338 1.57169i
\(55\) −6344.43 9305.57i −0.0381333 0.0559313i
\(56\) 214384. 198919.i 1.22075 1.13269i
\(57\) −10054.2 134164.i −0.0542903 0.724453i
\(58\) −36984.7 + 94235.5i −0.189556 + 0.482982i
\(59\) 25806.3 113065.i 0.125652 0.550517i −0.872437 0.488726i \(-0.837462\pi\)
0.998089 0.0617909i \(-0.0196812\pi\)
\(60\) 311796. 96176.2i 1.44350 0.445260i
\(61\) −2404.57 + 3526.86i −0.0105937 + 0.0155381i −0.831499 0.555526i \(-0.812517\pi\)
0.820905 + 0.571064i \(0.193469\pi\)
\(62\) −31935.3 211877.i −0.133997 0.889014i
\(63\) −917910. + 360253.i −3.67095 + 1.44074i
\(64\) 207536. 99944.3i 0.791689 0.381257i
\(65\) 31296.5 + 64987.9i 0.113961 + 0.236642i
\(66\) 5834.32 + 14865.6i 0.0202936 + 0.0517071i
\(67\) −195421. + 29454.9i −0.649750 + 0.0979340i −0.465644 0.884972i \(-0.654177\pi\)
−0.184106 + 0.982906i \(0.558939\pi\)
\(68\) 21204.3 + 14456.8i 0.0674367 + 0.0459776i
\(69\) −270902. 878243.i −0.824641 2.67342i
\(70\) 601799. + 137357.i 1.75452 + 0.400457i
\(71\) 309824. + 121597.i 0.865645 + 0.339741i 0.756270 0.654260i \(-0.227020\pi\)
0.109375 + 0.994001i \(0.465115\pi\)
\(72\) −992978. + 74413.4i −2.66037 + 0.199367i
\(73\) −267614. 288420.i −0.687925 0.741407i 0.288449 0.957495i \(-0.406860\pi\)
−0.976374 + 0.216089i \(0.930670\pi\)
\(74\) −342184. + 233297.i −0.844432 + 0.575724i
\(75\) 1.00168e6 + 798815.i 2.37436 + 1.89349i
\(76\) −57614.9 + 62094.1i −0.131248 + 0.141452i
\(77\) 4464.54 29620.3i 0.00977923 0.0648809i
\(78\) −22758.7 99712.5i −0.0479583 0.210119i
\(79\) −28078.1 48632.7i −0.0569490 0.0986386i 0.836145 0.548508i \(-0.184804\pi\)
−0.893094 + 0.449869i \(0.851471\pi\)
\(80\) 182486. + 105358.i 0.356418 + 0.205778i
\(81\) 1.42402e6 + 439251.i 2.67954 + 0.826528i
\(82\) −301446. + 240395.i −0.546724 + 0.435998i
\(83\) 49963.9 666722.i 0.0873820 1.16603i −0.765326 0.643643i \(-0.777422\pi\)
0.852708 0.522388i \(-0.174959\pi\)
\(84\) 781890. + 376539.i 1.31919 + 0.635289i
\(85\) 162966.i 0.265362i
\(86\) −44733.5 448490.i −0.0703295 0.705111i
\(87\) −903773. −1.37247
\(88\) 13124.6 27253.6i 0.0192592 0.0399922i
\(89\) −902111. 67603.9i −1.27965 0.0958963i −0.582503 0.812828i \(-0.697927\pi\)
−0.697143 + 0.716932i \(0.745546\pi\)
\(90\) −1.31041e6 1.64320e6i −1.79754 2.25404i
\(91\) −56547.6 + 183323.i −0.0750395 + 0.243272i
\(92\) −289325. + 501125.i −0.371554 + 0.643551i
\(93\) 1.65664e6 956461.i 2.05958 1.18910i
\(94\) −116631. + 26620.2i −0.140420 + 0.0320499i
\(95\) −531883. 80168.5i −0.620362 0.0935045i
\(96\) 1.07130e6 + 994024.i 1.21087 + 1.12353i
\(97\) −1.12713e6 + 1.41337e6i −1.23497 + 1.54861i −0.509252 + 0.860618i \(0.670078\pi\)
−0.725721 + 0.687989i \(0.758494\pi\)
\(98\) 549135. + 805433.i 0.583446 + 0.855758i
\(99\) −74765.3 + 69372.0i −0.0770538 + 0.0714955i
\(100\) −60280.6 804388.i −0.0602806 0.804388i
\(101\) 67471.7 171915.i 0.0654874 0.166859i −0.894384 0.447300i \(-0.852386\pi\)
0.959871 + 0.280441i \(0.0904808\pi\)
\(102\) 51418.7 225280.i 0.0484530 0.212286i
\(103\) 294796. 90932.6i 0.269780 0.0832162i −0.156914 0.987612i \(-0.550154\pi\)
0.426694 + 0.904396i \(0.359678\pi\)
\(104\) −109132. + 160068.i −0.0970184 + 0.142300i
\(105\) 821342. + 5.44925e6i 0.709506 + 4.70726i
\(106\) −73530.3 + 28858.5i −0.0617375 + 0.0242302i
\(107\) 2.01040e6 968159.i 1.64109 0.790306i 0.641353 0.767246i \(-0.278373\pi\)
0.999734 0.0230606i \(-0.00734107\pi\)
\(108\) −771985. 1.60304e6i −0.612827 1.27255i
\(109\) −268772. 684819.i −0.207541 0.528806i 0.788764 0.614697i \(-0.210722\pi\)
−0.996305 + 0.0858908i \(0.972626\pi\)
\(110\) 63133.0 9515.77i 0.0474328 0.00714934i
\(111\) −3.05489e6 2.08279e6i −2.23371 1.52292i
\(112\) 165193. + 535542.i 0.117581 + 0.381188i
\(113\) 973692. + 222239.i 0.674817 + 0.154023i 0.546178 0.837669i \(-0.316082\pi\)
0.128639 + 0.991692i \(0.458939\pi\)
\(114\) 709968. + 278642.i 0.479208 + 0.188075i
\(115\) −3.66419e6 + 274593.i −2.40926 + 0.180549i
\(116\) 387029. + 417118.i 0.247953 + 0.267230i
\(117\) 539705. 367964.i 0.336976 0.229746i
\(118\) 514002. + 409903.i 0.312838 + 0.249480i
\(119\) −294812. + 317732.i −0.174946 + 0.188547i
\(120\) −829411. + 5.50278e6i −0.479983 + 3.18448i
\(121\) 393520. + 1.72412e6i 0.222132 + 0.973223i
\(122\) −12099.0 20956.1i −0.00666300 0.0115407i
\(123\) −2.98101e6 1.72108e6i −1.60194 0.924883i
\(124\) −1.15087e6 354996.i −0.603616 0.186191i
\(125\) 1.53295e6 1.22249e6i 0.784873 0.625915i
\(126\) 417736. 5.57430e6i 0.208829 2.78663i
\(127\) 64432.9 + 31029.2i 0.0314555 + 0.0151482i 0.449545 0.893257i \(-0.351586\pi\)
−0.418090 + 0.908406i \(0.637300\pi\)
\(128\) 542282.i 0.258580i
\(129\) 3.58127e6 1.83456e6i 1.66827 0.854601i
\(130\) −408903. −0.186119
\(131\) −746462. + 1.55004e6i −0.332043 + 0.689494i −0.998424 0.0561172i \(-0.982128\pi\)
0.666381 + 0.745611i \(0.267842\pi\)
\(132\) 89510.9 + 6707.91i 0.0389183 + 0.00291652i
\(133\) −891976. 1.11850e6i −0.379139 0.475425i
\(134\) 330223. 1.07056e6i 0.137244 0.444934i
\(135\) 5.64916e6 9.78463e6i 2.29606 3.97689i
\(136\) −379055. + 218848.i −0.150690 + 0.0870012i
\(137\) 481582. 109918.i 0.187287 0.0427471i −0.127848 0.991794i \(-0.540807\pi\)
0.315136 + 0.949047i \(0.397950\pi\)
\(138\) 5.15193e6 + 776528.i 1.96035 + 0.295475i
\(139\) 59861.2 + 55543.1i 0.0222895 + 0.0206817i 0.691239 0.722626i \(-0.257065\pi\)
−0.668949 + 0.743308i \(0.733256\pi\)
\(140\) 2.16326e6 2.71264e6i 0.788360 0.988572i
\(141\) −601632. 882432.i −0.214622 0.314792i
\(142\) −1.38311e6 + 1.28334e6i −0.483049 + 0.448204i
\(143\) 1482.87 + 19787.6i 0.000507103 + 0.00676682i
\(144\) 697149. 1.77631e6i 0.233474 0.594882i
\(145\) −804032. + 3.52270e6i −0.263736 + 1.15550i
\(146\) 2.13133e6 657429.i 0.684846 0.211247i
\(147\) −4.90247e6 + 7.19060e6i −1.54334 + 2.26367i
\(148\) 346948. + 2.30185e6i 0.107023 + 0.710054i
\(149\) −648184. + 254393.i −0.195947 + 0.0769036i −0.461286 0.887252i \(-0.652612\pi\)
0.265338 + 0.964155i \(0.414516\pi\)
\(150\) −6.54371e6 + 3.15128e6i −1.93888 + 0.933714i
\(151\) 2.42010e6 + 5.02539e6i 0.702915 + 1.45962i 0.879779 + 0.475382i \(0.157690\pi\)
−0.176865 + 0.984235i \(0.556595\pi\)
\(152\) −527799. 1.34481e6i −0.150293 0.382939i
\(153\) 1.45930e6 219955.i 0.407447 0.0614128i
\(154\) 140304. + 95657.7i 0.0384156 + 0.0261913i
\(155\) −2.25425e6 7.30810e6i −0.605350 1.96250i
\(156\) −560467. 127923.i −0.147630 0.0336957i
\(157\) 3.21271e6 + 1.26090e6i 0.830182 + 0.325822i 0.742098 0.670291i \(-0.233831\pi\)
0.0880831 + 0.996113i \(0.471926\pi\)
\(158\) 317453. 23789.8i 0.0804836 0.00603141i
\(159\) −479657. 516947.i −0.119327 0.128604i
\(160\) 4.82755e6 3.29137e6i 1.17860 0.803556i
\(161\) −7.64077e6 6.09331e6i −1.83088 1.46008i
\(162\) −5.74603e6 + 6.19274e6i −1.35152 + 1.45659i
\(163\) 578142. 3.83572e6i 0.133497 0.885695i −0.817374 0.576108i \(-0.804571\pi\)
0.950871 0.309588i \(-0.100191\pi\)
\(164\) 482245. + 2.11285e6i 0.109329 + 0.479003i
\(165\) 284997. + 493629.i 0.0634437 + 0.109888i
\(166\) 3.28238e6 + 1.89508e6i 0.717570 + 0.414289i
\(167\) 1.35239e6 + 417156.i 0.290370 + 0.0895671i 0.436518 0.899696i \(-0.356212\pi\)
−0.146148 + 0.989263i \(0.546688\pi\)
\(168\) −1.15719e7 + 9.22826e6i −2.44048 + 1.94622i
\(169\) −351211. + 4.68658e6i −0.0727625 + 0.970948i
\(170\) −832344. 400836.i −0.169417 0.0815868i
\(171\) 4.87104e6i 0.974167i
\(172\) −2.38034e6 867233.i −0.467792 0.170432i
\(173\) 7.11848e6 1.37483 0.687415 0.726264i \(-0.258745\pi\)
0.687415 + 0.726264i \(0.258745\pi\)
\(174\) 2.22295e6 4.61601e6i 0.421971 0.876231i
\(175\) 1.35854e7 + 1.01809e6i 2.53489 + 0.189964i
\(176\) 36142.2 + 45320.9i 0.00662944 + 0.00831305i
\(177\) −1.73001e6 + 5.60856e6i −0.311982 + 1.01142i
\(178\) 2.56415e6 4.44124e6i 0.454656 0.787488i
\(179\) 5.03276e6 2.90567e6i 0.877500 0.506625i 0.00766668 0.999971i \(-0.497560\pi\)
0.869833 + 0.493346i \(0.164226\pi\)
\(180\) −1.15173e7 + 2.62874e6i −1.97484 + 0.450745i
\(181\) −7.02850e6 1.05938e6i −1.18530 0.178655i −0.473341 0.880879i \(-0.656952\pi\)
−0.711955 + 0.702225i \(0.752190\pi\)
\(182\) −797232. 739723.i −0.132242 0.122703i
\(183\) 134693. 168899.i 0.0219781 0.0275597i
\(184\) −5.55936e6 8.15409e6i −0.892425 1.30895i
\(185\) −1.08360e7 + 1.00543e7i −1.71140 + 1.58795i
\(186\) 810383. + 1.08138e7i 0.125936 + 1.68050i
\(187\) −16378.7 + 41732.3i −0.00250470 + 0.00638186i
\(188\) −149627. + 655561.i −0.0225184 + 0.0986596i
\(189\) 2.87149e7 8.85738e6i 4.25326 1.31196i
\(190\) 1.71770e6 2.51940e6i 0.250430 0.367313i
\(191\) −1.32910e6 8.81801e6i −0.190747 1.26552i −0.855241 0.518230i \(-0.826591\pi\)
0.664494 0.747294i \(-0.268647\pi\)
\(192\) −1.08520e7 + 4.25908e6i −1.53322 + 0.601745i
\(193\) 3.21948e6 1.55042e6i 0.447830 0.215664i −0.196355 0.980533i \(-0.562911\pi\)
0.644186 + 0.764869i \(0.277196\pi\)
\(194\) −4.44645e6 9.23316e6i −0.608988 1.26458i
\(195\) −1.33369e6 3.39818e6i −0.179866 0.458292i
\(196\) 5.41809e6 816646.i 0.719578 0.108459i
\(197\) −4.44295e6 3.02915e6i −0.581129 0.396207i 0.236772 0.971565i \(-0.423910\pi\)
−0.817902 + 0.575358i \(0.804863\pi\)
\(198\) −170421. 552492.i −0.0219547 0.0711755i
\(199\) 1.17090e6 + 267249.i 0.148579 + 0.0339123i 0.296164 0.955137i \(-0.404293\pi\)
−0.147584 + 0.989049i \(0.547150\pi\)
\(200\) 1.28064e7 + 5.02614e6i 1.60080 + 0.628267i
\(201\) 9.97391e6 747441.i 1.22822 0.0920426i
\(202\) 712098. + 767459.i 0.0863944 + 0.0931110i
\(203\) −7.94032e6 + 5.41362e6i −0.949183 + 0.647142i
\(204\) −1.01546e6 809804.i −0.119612 0.0953870i
\(205\) −9.36040e6 + 1.00881e7i −1.08651 + 1.17098i
\(206\) −260654. + 1.72933e6i −0.0298169 + 0.197823i
\(207\) 7.40444e6 + 3.24410e7i 0.834798 + 3.65749i
\(208\) −185627. 321515.i −0.0206277 0.0357282i
\(209\) −128148. 73986.0i −0.0140369 0.00810421i
\(210\) −2.98521e7 9.20816e6i −3.22342 0.994295i
\(211\) 918810. 732726.i 0.0978088 0.0780000i −0.573364 0.819300i \(-0.694362\pi\)
0.671173 + 0.741300i \(0.265791\pi\)
\(212\) −33179.6 + 442751.i −0.00348228 + 0.0464678i
\(213\) −1.51763e7 7.30853e6i −1.57046 0.756295i
\(214\) 1.26494e7i 1.29071i
\(215\) −3.96466e6 1.55910e7i −0.398925 1.56877i
\(216\) 3.03452e7 3.01112
\(217\) 8.82559e6 1.83265e7i 0.863703 1.79350i
\(218\) 4.15878e6 + 311658.i 0.401418 + 0.0300821i
\(219\) 1.24152e7 + 1.55681e7i 1.18201 + 1.48219i
\(220\) 105778. 342925.i 0.00993410 0.0322056i
\(221\) 143561. 248655.i 0.0133003 0.0230367i
\(222\) 1.81517e7 1.04799e7i 1.65905 0.957852i
\(223\) −8.63527e6 + 1.97094e6i −0.778684 + 0.177730i −0.593348 0.804946i \(-0.702194\pi\)
−0.185336 + 0.982675i \(0.559337\pi\)
\(224\) 1.53664e7 + 2.31612e6i 1.36719 + 0.206071i
\(225\) −3.40034e7 3.15506e7i −2.98521 2.76987i
\(226\) −3.53001e6 + 4.42649e6i −0.305809 + 0.383472i
\(227\) 7.99870e6 + 1.17319e7i 0.683820 + 1.00298i 0.998552 + 0.0537990i \(0.0171330\pi\)
−0.314732 + 0.949181i \(0.601915\pi\)
\(228\) 3.14256e6 2.91587e6i 0.265142 0.246016i
\(229\) −1.05440e6 1.40700e7i −0.0878008 1.17162i −0.850896 0.525334i \(-0.823940\pi\)
0.763095 0.646286i \(-0.223679\pi\)
\(230\) 7.61008e6 1.93902e7i 0.625469 1.59367i
\(231\) −337342. + 1.47799e6i −0.0273675 + 0.119905i
\(232\) −9.27347e6 + 2.86049e6i −0.742640 + 0.229074i
\(233\) 4.51021e6 6.61527e6i 0.356557 0.522973i −0.605491 0.795852i \(-0.707023\pi\)
0.962048 + 0.272879i \(0.0879757\pi\)
\(234\) 551896. + 3.66159e6i 0.0430735 + 0.285774i
\(235\) −3.97475e6 + 1.55997e6i −0.306271 + 0.120202i
\(236\) 3.32937e6 1.60334e6i 0.253295 0.121980i
\(237\) 1.23312e6 + 2.56059e6i 0.0926315 + 0.192351i
\(238\) −897680. 2.28725e6i −0.0665872 0.169661i
\(239\) −3.80657e6 + 573748.i −0.278830 + 0.0420269i −0.286969 0.957940i \(-0.592648\pi\)
0.00813830 + 0.999967i \(0.497409\pi\)
\(240\) −8.81126e6 6.00741e6i −0.637388 0.434564i
\(241\) −140994. 457090.i −0.0100728 0.0326551i 0.950397 0.311040i \(-0.100677\pi\)
−0.960470 + 0.278385i \(0.910201\pi\)
\(242\) −9.77385e6 2.23082e6i −0.689635 0.157405i
\(243\) −3.23133e7 1.26820e7i −2.25197 0.883833i
\(244\) −135633. + 10164.3i −0.00933672 + 0.000699690i
\(245\) 2.36658e7 + 2.55057e7i 1.60925 + 1.73436i
\(246\) 1.61226e7 1.09922e7i 1.08300 0.738379i
\(247\) 740932. + 590874.i 0.0491686 + 0.0392106i
\(248\) 1.39713e7 1.50574e7i 0.915969 0.987180i
\(249\) −5.04316e6 + 3.34592e7i −0.326667 + 2.16729i
\(250\) 2.47334e6 + 1.08364e7i 0.158294 + 0.693531i
\(251\) −1.11249e7 1.92688e7i −0.703516 1.21853i −0.967225 0.253923i \(-0.918279\pi\)
0.263709 0.964602i \(-0.415054\pi\)
\(252\) −2.72106e7 1.57100e7i −1.70034 0.981692i
\(253\) −965925. 297948.i −0.0596460 0.0183984i
\(254\) −316963. + 252769.i −0.0193423 + 0.0154249i
\(255\) 616345. 8.22456e6i 0.0371709 0.496012i
\(256\) 1.60520e7 + 7.73025e6i 0.956776 + 0.460759i
\(257\) 262024.i 0.0154363i 0.999970 + 0.00771813i \(0.00245678\pi\)
−0.999970 + 0.00771813i \(0.997543\pi\)
\(258\) 561396. + 2.28036e7i 0.0326897 + 1.32784i
\(259\) −3.93154e7 −2.26289
\(260\) −997227. + 2.07076e6i −0.0567380 + 0.117818i
\(261\) 3.26298e7 + 2.44526e6i 1.83524 + 0.137532i
\(262\) −6.08080e6 7.62509e6i −0.338109 0.423976i
\(263\) −1.32064e6 + 4.28142e6i −0.0725970 + 0.235354i −0.984598 0.174835i \(-0.944061\pi\)
0.912001 + 0.410188i \(0.134537\pi\)
\(264\) −765449. + 1.32580e6i −0.0416011 + 0.0720551i
\(265\) −2.44166e6 + 1.40969e6i −0.131204 + 0.0757507i
\(266\) 7.90667e6 1.80465e6i 0.420096 0.0958842i
\(267\) 4.52721e7 + 6.82367e6i 2.37847 + 0.358496i
\(268\) −4.61616e6 4.28317e6i −0.239815 0.222516i
\(269\) −1.69966e7 + 2.13131e7i −0.873185 + 1.09494i 0.121563 + 0.992584i \(0.461209\pi\)
−0.994748 + 0.102356i \(0.967362\pi\)
\(270\) 3.60800e7 + 5.29196e7i 1.83305 + 2.68860i
\(271\) −9.32803e6 + 8.65515e6i −0.468686 + 0.434877i −0.878824 0.477146i \(-0.841671\pi\)
0.410138 + 0.912024i \(0.365481\pi\)
\(272\) −62681.5 836426.i −0.00311482 0.0415643i
\(273\) 3.54719e6 9.03808e6i 0.174340 0.444210i
\(274\) −623111. + 2.73003e6i −0.0302910 + 0.132714i
\(275\) 1.34651e6 415343.i 0.0647458 0.0199714i
\(276\) 1.64969e7 2.41966e7i 0.784651 1.15087i
\(277\) −3.27795e6 2.17478e7i −0.154228 1.02324i −0.923302 0.384076i \(-0.874520\pi\)
0.769074 0.639160i \(-0.220718\pi\)
\(278\) −430922. + 169124.i −0.0200569 + 0.00787176i
\(279\) −6.23991e7 + 3.00498e7i −2.87320 + 1.38366i
\(280\) 2.56748e7 + 5.33143e7i 1.16959 + 2.42867i
\(281\) 1.59821e7 + 4.07217e7i 0.720302 + 1.83530i 0.516499 + 0.856288i \(0.327235\pi\)
0.203803 + 0.979012i \(0.434670\pi\)
\(282\) 5.98680e6 902365.i 0.266961 0.0402379i
\(283\) −1.70113e7 1.15981e7i −0.750546 0.511714i 0.126590 0.991955i \(-0.459597\pi\)
−0.877136 + 0.480242i \(0.840549\pi\)
\(284\) 3.12596e6 + 1.01341e7i 0.136467 + 0.442415i
\(285\) 2.65399e7 + 6.05756e6i 1.14648 + 0.261676i
\(286\) −104712. 41096.4i −0.00447609 0.00175673i
\(287\) −3.64997e7 + 2.73527e6i −1.54399 + 0.115706i
\(288\) −3.59888e7 3.87867e7i −1.50657 1.62370i
\(289\) −1.94074e7 + 1.32318e7i −0.804034 + 0.548181i
\(290\) −1.60145e7 1.27711e7i −0.656627 0.523643i
\(291\) 6.22293e7 6.70673e7i 2.52532 2.72165i
\(292\) 1.86852e6 1.23968e7i 0.0750497 0.497922i
\(293\) 6.45278e6 + 2.82715e7i 0.256534 + 1.12395i 0.924929 + 0.380141i \(0.124124\pi\)
−0.668395 + 0.743807i \(0.733018\pi\)
\(294\) −2.46676e7 4.27255e7i −0.970699 1.68130i
\(295\) 2.03217e7 + 1.17328e7i 0.791580 + 0.457019i
\(296\) −3.79379e7 1.17023e7i −1.46284 0.451227i
\(297\) 2.43004e6 1.93789e6i 0.0927563 0.0739707i
\(298\) 294985. 3.93630e6i 0.0111468 0.148744i
\(299\) 5.83277e6 + 2.80891e6i 0.218203 + 0.105081i
\(300\) 4.08239e7i 1.51200i
\(301\) 2.04750e7 3.75699e7i 0.750801 1.37765i
\(302\) −3.16197e7 −1.14799
\(303\) −4.05536e6 + 8.42104e6i −0.145781 + 0.302718i
\(304\) 2.76074e6 + 206889.i 0.0982664 + 0.00736405i
\(305\) −538502. 675260.i −0.0189796 0.0237997i
\(306\) −2.46594e6 + 7.99438e6i −0.0860633 + 0.279010i
\(307\) 3.22306e6 5.58251e6i 0.111392 0.192936i −0.804940 0.593356i \(-0.797802\pi\)
0.916332 + 0.400420i \(0.131136\pi\)
\(308\) 826600. 477238.i 0.0282907 0.0163336i
\(309\) −1.52217e7 + 3.47426e6i −0.515927 + 0.117757i
\(310\) 4.28706e7 + 6.46171e6i 1.43905 + 0.216901i
\(311\) 1.93057e7 + 1.79131e7i 0.641807 + 0.595510i 0.932440 0.361325i \(-0.117675\pi\)
−0.290633 + 0.956835i \(0.593866\pi\)
\(312\) 6.11309e6 7.66558e6i 0.201278 0.252395i
\(313\) 1.37931e7 + 2.02308e7i 0.449810 + 0.659750i 0.982436 0.186601i \(-0.0597472\pi\)
−0.532626 + 0.846351i \(0.678795\pi\)
\(314\) −1.43421e7 + 1.33075e7i −0.463259 + 0.429842i
\(315\) −1.49101e7 1.98962e8i −0.477034 6.36557i
\(316\) 653723. 1.66566e6i 0.0207173 0.0527867i
\(317\) −6.86493e6 + 3.00772e7i −0.215506 + 0.944191i 0.745248 + 0.666787i \(0.232331\pi\)
−0.960753 + 0.277404i \(0.910526\pi\)
\(318\) 3.82008e6 1.17834e6i 0.118793 0.0366428i
\(319\) −559942. + 821285.i −0.0172493 + 0.0253001i
\(320\) 6.94656e6 + 4.60874e7i 0.211992 + 1.40648i
\(321\) −1.05123e8 + 4.12577e7i −3.17820 + 1.24735i
\(322\) 4.99150e7 2.40378e7i 1.49508 0.719990i
\(323\) 928991. + 1.92907e6i 0.0275679 + 0.0572454i
\(324\) 1.73479e7 + 4.42018e7i 0.510049 + 1.29958i
\(325\) −8.92387e6 + 1.34506e6i −0.259958 + 0.0391824i
\(326\) 1.81689e7 + 1.23873e7i 0.524415 + 0.357540i
\(327\) 1.09744e7 + 3.55780e7i 0.313860 + 1.01751i
\(328\) −3.60349e7 8.22474e6i −1.02118 0.233078i
\(329\) −1.05716e7 4.14903e6i −0.296860 0.116509i
\(330\) −3.22219e6 + 241470.i −0.0896622 + 0.00671925i
\(331\) −1.91795e6 2.06706e6i −0.0528876 0.0569993i 0.706054 0.708158i \(-0.250474\pi\)
−0.758941 + 0.651159i \(0.774283\pi\)
\(332\) 1.76021e7 1.20009e7i 0.481005 0.327944i
\(333\) 1.04658e8 + 8.34623e7i 2.83427 + 2.26025i
\(334\) −5.45699e6 + 5.88124e6i −0.146458 + 0.157844i
\(335\) 5.95983e6 3.95409e7i 0.158526 1.05175i
\(336\) −6.31151e6 2.76525e7i −0.166385 0.728982i
\(337\) −3.17470e7 5.49875e7i −0.829494 1.43673i −0.898435 0.439106i \(-0.855295\pi\)
0.0689410 0.997621i \(-0.478038\pi\)
\(338\) −2.30728e7 1.33211e7i −0.597517 0.344976i
\(339\) −4.82998e7 1.48985e7i −1.23979 0.382423i
\(340\) −4.05982e6 + 3.23760e6i −0.103293 + 0.0823732i
\(341\) 157225. 2.09802e6i 0.00396514 0.0529111i
\(342\) −2.48788e7 1.19810e7i −0.621943 0.299512i
\(343\) 2.92274e7i 0.724283i
\(344\) 3.09403e7 3.01591e7i 0.760063 0.740871i
\(345\) 1.85963e8 4.52866
\(346\) −1.75089e7 + 3.63575e7i −0.422698 + 0.877741i
\(347\) −2.49304e6 186827.i −0.0596679 0.00447149i 0.0448627 0.998993i \(-0.485715\pi\)
−0.104531 + 0.994522i \(0.533334\pi\)
\(348\) −1.79550e7 2.25149e7i −0.426038 0.534235i
\(349\) 9.24302e6 2.99651e7i 0.217439 0.704920i −0.779476 0.626432i \(-0.784515\pi\)
0.996915 0.0784882i \(-0.0250093\pi\)
\(350\) −3.86151e7 + 6.68833e7i −0.900644 + 1.55996i
\(351\) −1.72391e7 + 9.95302e6i −0.398652 + 0.230162i
\(352\) 1.56704e6 357666.i 0.0359295 0.00820067i
\(353\) −5.95287e7 8.97251e6i −1.35333 0.203981i −0.567982 0.823041i \(-0.692276\pi\)
−0.785343 + 0.619060i \(0.787514\pi\)
\(354\) −2.43904e7 2.26310e7i −0.549806 0.510145i
\(355\) −4.19884e7 + 5.26518e7i −0.938521 + 1.17687i
\(356\) −1.62379e7 2.38166e7i −0.359898 0.527873i
\(357\) 1.60803e7 1.49203e7i 0.353418 0.327924i
\(358\) 2.46189e6 + 3.28516e7i 0.0536561 + 0.715991i
\(359\) −2.65298e7 + 6.75967e7i −0.573390 + 1.46097i 0.290293 + 0.956938i \(0.406247\pi\)
−0.863683 + 0.504036i \(0.831848\pi\)
\(360\) 4.48335e7 1.96428e8i 0.960937 4.21014i
\(361\) 3.82027e7 1.17840e7i 0.812031 0.250478i
\(362\) 2.26983e7 3.32923e7i 0.478484 0.701807i
\(363\) −1.33395e7 8.85015e7i −0.278881 1.85025i
\(364\) −5.69038e6 + 2.23331e6i −0.117988 + 0.0463068i
\(365\) 7.17259e7 3.45414e7i 1.47502 0.710331i
\(366\) 531356. + 1.10337e6i 0.0108378 + 0.0225050i
\(367\) −1.08894e6 2.77457e6i −0.0220295 0.0561302i 0.919436 0.393240i \(-0.128646\pi\)
−0.941465 + 0.337110i \(0.890551\pi\)
\(368\) 1.87009e7 2.81871e6i 0.375250 0.0565598i
\(369\) 1.02969e8 + 7.02034e7i 2.04941 + 1.39727i
\(370\) −2.46997e7 8.00745e7i −0.487626 1.58084i
\(371\) −7.31066e6 1.66861e6i −0.143164 0.0326763i
\(372\) 5.67395e7 + 2.22686e7i 1.10219 + 0.432578i
\(373\) −1.70901e7 + 1.28073e6i −0.329321 + 0.0246792i −0.238365 0.971176i \(-0.576611\pi\)
−0.0909561 + 0.995855i \(0.528992\pi\)
\(374\) −172861. 186300.i −0.00330433 0.00356122i
\(375\) −8.19888e7 + 5.58990e7i −1.55475 + 1.06001i
\(376\) −8.96619e6 7.15030e6i −0.168673 0.134512i
\(377\) 4.33005e6 4.66668e6i 0.0808107 0.0870932i
\(378\) −2.53893e7 + 1.68447e8i −0.470084 + 3.11880i
\(379\) −1.60974e7 7.05271e7i −0.295690 1.29550i −0.876475 0.481447i \(-0.840112\pi\)
0.580785 0.814057i \(-0.302746\pi\)
\(380\) −8.56962e6 1.48430e7i −0.156175 0.270503i
\(381\) −3.13445e6 1.80967e6i −0.0566743 0.0327209i
\(382\) 4.83069e7 + 1.49007e7i 0.866602 + 0.267311i
\(383\) 4.83175e7 3.85319e7i 0.860020 0.685843i −0.0907056 0.995878i \(-0.528912\pi\)
0.950725 + 0.310035i \(0.100341\pi\)
\(384\) −2.05094e6 + 2.73679e7i −0.0362210 + 0.483335i
\(385\) 5.46076e6 + 2.62976e6i 0.0956909 + 0.0460823i
\(386\) 2.02569e7i 0.352218i
\(387\) −1.34262e8 + 5.65455e7i −2.31643 + 0.975585i
\(388\) −5.76024e7 −0.986156
\(389\) 6.12298e6 1.27145e7i 0.104019 0.215998i −0.842463 0.538754i \(-0.818895\pi\)
0.946482 + 0.322756i \(0.104609\pi\)
\(390\) 2.06365e7 + 1.54649e6i 0.347891 + 0.0260708i
\(391\) 9.11942e6 + 1.14354e7i 0.152559 + 0.191303i
\(392\) −2.75448e7 + 8.92981e7i −0.457279 + 1.48246i
\(393\) 4.35349e7 7.54046e7i 0.717232 1.24228i
\(394\) 2.63994e7 1.52417e7i 0.431624 0.249198i
\(395\) 1.10776e7 2.52839e6i 0.179744 0.0410254i
\(396\) −3.21355e6 484364.i −0.0517487 0.00779986i
\(397\) −6.76784e6 6.27964e6i −0.108163 0.100361i 0.624238 0.781234i \(-0.285410\pi\)
−0.732401 + 0.680874i \(0.761600\pi\)
\(398\) −4.24495e6 + 5.32299e6i −0.0673322 + 0.0844319i
\(399\) 4.07861e7 + 5.98222e7i 0.642086 + 0.941767i
\(400\) −1.93260e7 + 1.79319e7i −0.301969 + 0.280186i
\(401\) 3.82721e6 + 5.10706e7i 0.0593539 + 0.792023i 0.944877 + 0.327427i \(0.106181\pi\)
−0.885523 + 0.464596i \(0.846199\pi\)
\(402\) −2.07146e7 + 5.27800e7i −0.318859 + 0.812440i
\(403\) −2.99835e6 + 1.31366e7i −0.0458107 + 0.200710i
\(404\) 5.62321e6 1.73453e6i 0.0852787 0.0263050i
\(405\) −1.69857e8 + 2.49134e8i −2.55692 + 3.75031i
\(406\) −8.11968e6 5.38706e7i −0.121328 0.804959i
\(407\) −3.78538e6 + 1.48565e6i −0.0561470 + 0.0220361i
\(408\) 1.99579e7 9.61121e6i 0.293856 0.141513i
\(409\) −2.36673e7 4.91457e7i −0.345923 0.718316i 0.653326 0.757077i \(-0.273373\pi\)
−0.999249 + 0.0387607i \(0.987659\pi\)
\(410\) −2.85017e7 7.26212e7i −0.413542 1.05369i
\(411\) −2.47202e7 + 3.72597e6i −0.356063 + 0.0536679i
\(412\) 8.12197e6 + 5.53746e6i 0.116137 + 0.0791807i
\(413\) 1.83959e7 + 5.96381e7i 0.261139 + 0.846591i
\(414\) −1.83904e8 4.19749e7i −2.59173 0.591546i
\(415\) 1.25929e8 + 4.94237e7i 1.76191 + 0.691498i
\(416\) −1.02654e7 + 769285.i −0.142592 + 0.0106858i
\(417\) −2.81101e6 3.02955e6i −0.0387663 0.0417802i
\(418\) 693079. 472533.i 0.00948973 0.00646999i
\(419\) 1.56442e7 + 1.24759e7i 0.212673 + 0.169601i 0.724033 0.689766i \(-0.242287\pi\)
−0.511360 + 0.859367i \(0.670858\pi\)
\(420\) −1.19435e8 + 1.28720e8i −1.61207 + 1.73740i
\(421\) 1.61985e7 1.07470e8i 0.217085 1.44026i −0.569099 0.822269i \(-0.692708\pi\)
0.786183 0.617993i \(-0.212054\pi\)
\(422\) 1.48245e6 + 6.49504e6i 0.0197262 + 0.0864261i
\(423\) 1.93338e7 + 3.34871e7i 0.255444 + 0.442442i
\(424\) −6.55784e6 3.78617e6i −0.0860327 0.0496710i
\(425\) −1.94835e7 6.00988e6i −0.253806 0.0782887i
\(426\) 7.46564e7 5.95365e7i 0.965691 0.770113i
\(427\) 171666. 2.29072e6i 0.00220496 0.0294231i
\(428\) 6.40591e7 + 3.08492e7i 0.817051 + 0.393471i
\(429\) 1.00425e6i 0.0127195i
\(430\) 8.93826e7 + 1.80988e7i 1.12421 + 0.227638i
\(431\) −3.71648e7 −0.464195 −0.232097 0.972693i \(-0.574559\pi\)
−0.232097 + 0.972693i \(0.574559\pi\)
\(432\) −2.52310e7 + 5.23928e7i −0.312956 + 0.649861i
\(433\) 5.76713e7 + 4.32187e6i 0.710389 + 0.0532363i 0.425023 0.905182i \(-0.360266\pi\)
0.285366 + 0.958419i \(0.407885\pi\)
\(434\) 7.18947e7 + 9.01531e7i 0.879484 + 1.10284i
\(435\) 5.39010e7 1.74743e8i 0.654831 2.12291i
\(436\) 1.17207e7 2.03008e7i 0.141414 0.244937i
\(437\) −4.18087e7 + 2.41383e7i −0.500982 + 0.289242i
\(438\) −1.10051e8 + 2.51184e7i −1.30970 + 0.298930i
\(439\) 7.84761e7 + 1.18284e7i 0.927564 + 0.139808i 0.595414 0.803419i \(-0.296988\pi\)
0.332150 + 0.943227i \(0.392226\pi\)
\(440\) 4.48667e6 + 4.16302e6i 0.0526703 + 0.0488709i
\(441\) 1.96453e8 2.46345e8i 2.29057 2.87229i
\(442\) 916895. + 1.34484e6i 0.0106182 + 0.0155741i
\(443\) −5.73209e7 + 5.31860e7i −0.659328 + 0.611767i −0.937176 0.348858i \(-0.886570\pi\)
0.277847 + 0.960625i \(0.410379\pi\)
\(444\) −8.80406e6 1.17482e8i −0.100585 1.34222i
\(445\) 6.68729e7 1.70389e8i 0.758875 1.93358i
\(446\) 1.11730e7 4.89523e7i 0.125941 0.551783i
\(447\) 3.36747e7 1.03873e7i 0.377035 0.116300i
\(448\) −6.98306e7 + 1.02423e8i −0.776625 + 1.13910i
\(449\) 3.83005e6 + 2.54107e7i 0.0423122 + 0.280723i 0.999974 0.00717161i \(-0.00228281\pi\)
−0.957662 + 0.287895i \(0.907045\pi\)
\(450\) 2.44780e8 9.60691e7i 2.68620 1.05426i
\(451\) −3.41091e6 + 1.64261e6i −0.0371827 + 0.0179062i
\(452\) 1.38077e7 + 2.86719e7i 0.149522 + 0.310485i
\(453\) −1.03131e8 2.62775e8i −1.10942 2.82676i
\(454\) −7.95946e7 + 1.19969e7i −0.850581 + 0.128204i
\(455\) −3.20726e7 2.18667e7i −0.340487 0.232140i
\(456\) 2.15508e7 + 6.98661e7i 0.227284 + 0.736838i
\(457\) −6.59267e7 1.50473e7i −0.690737 0.157656i −0.137278 0.990533i \(-0.543835\pi\)
−0.553459 + 0.832876i \(0.686692\pi\)
\(458\) 7.44556e7 + 2.92217e7i 0.774999 + 0.304165i
\(459\) −4.48479e7 + 3.36089e6i −0.463771 + 0.0347549i
\(460\) −7.96362e7 8.58274e7i −0.818158 0.881765i
\(461\) −5.59872e7 + 3.81714e7i −0.571460 + 0.389615i −0.814294 0.580453i \(-0.802875\pi\)
0.242834 + 0.970068i \(0.421923\pi\)
\(462\) −6.71909e6 5.35830e6i −0.0681372 0.0543376i
\(463\) 7.52095e7 8.10565e7i 0.757756 0.816667i −0.229915 0.973211i \(-0.573845\pi\)
0.987671 + 0.156544i \(0.0500352\pi\)
\(464\) 2.77179e6 1.83896e7i 0.0277463 0.184085i
\(465\) 8.61279e7 + 3.77351e8i 0.856614 + 3.75307i
\(466\) 2.26939e7 + 3.93070e7i 0.224260 + 0.388429i
\(467\) −1.43413e8 8.27994e7i −1.40811 0.812974i −0.412906 0.910774i \(-0.635486\pi\)
−0.995206 + 0.0978000i \(0.968819\pi\)
\(468\) 1.98890e7 + 6.13493e6i 0.194032 + 0.0598511i
\(469\) 8.31510e7 6.63107e7i 0.806026 0.642784i
\(470\) 1.80889e6 2.41379e7i 0.0174228 0.232491i
\(471\) −1.57371e8 7.57857e7i −1.50613 0.725312i
\(472\) 6.30241e7i 0.599350i
\(473\) 551692. 4.39102e6i 0.00521330 0.0414937i
\(474\) −1.61112e7 −0.151284
\(475\) 2.91995e7 6.06334e7i 0.272455 0.565759i
\(476\) −1.37723e7 1.03209e6i −0.127699 0.00956970i
\(477\) 1.59188e7 + 1.99616e7i 0.146675 + 0.183925i
\(478\) 6.43236e6 2.08532e7i 0.0588961 0.190937i
\(479\) 4.97025e7 8.60872e7i 0.452243 0.783307i −0.546282 0.837601i \(-0.683957\pi\)
0.998525 + 0.0542939i \(0.0172908\pi\)
\(480\) −2.56085e8 + 1.47851e8i −2.31558 + 1.33690i
\(481\) 2.53908e7 5.79529e6i 0.228161 0.0520763i
\(482\) 2.68137e6 + 404152.i 0.0239451 + 0.00360914i
\(483\) 3.62569e8 + 3.36415e8i 3.21773 + 2.98562i
\(484\) −3.51336e7 + 4.40562e7i −0.309875 + 0.388571i
\(485\) −2.06051e8 3.02221e8i −1.80613 2.64911i
\(486\) 1.44252e8 1.33847e8i 1.25665 1.16600i
\(487\) 1.60348e7 + 2.13969e8i 0.138827 + 1.85252i 0.438811 + 0.898579i \(0.355400\pi\)
−0.299984 + 0.953944i \(0.596981\pi\)
\(488\) 847486. 2.15936e6i 0.00729244 0.0185808i
\(489\) −4.36846e7 + 1.91395e8i −0.373596 + 1.63683i
\(490\) −1.88479e8 + 5.81381e7i −1.60205 + 0.494166i
\(491\) 1.59937e7 2.34584e7i 0.135115 0.198178i −0.752718 0.658343i \(-0.771258\pi\)
0.887833 + 0.460166i \(0.152210\pi\)
\(492\) −1.63470e7 1.08456e8i −0.137260 0.910660i
\(493\) 1.33887e7 5.25467e6i 0.111737 0.0438535i
\(494\) −4.84030e6 + 2.33097e6i −0.0401505 + 0.0193355i
\(495\) −8.95394e6 1.85931e7i −0.0738242 0.153298i
\(496\) 1.43809e7 + 3.66420e7i 0.117853 + 0.300285i
\(497\) −1.77114e8 + 2.66956e7i −1.44272 + 0.217455i
\(498\) −1.58488e8 1.08055e8i −1.28324 0.874899i
\(499\) 4.49502e7 + 1.45725e8i 0.361768 + 1.17282i 0.935365 + 0.353685i \(0.115072\pi\)
−0.573597 + 0.819138i \(0.694452\pi\)
\(500\) 6.09097e7 + 1.39022e7i 0.487277 + 0.111218i
\(501\) −6.66746e7 2.61678e7i −0.530209 0.208092i
\(502\) 1.25778e8 9.42579e6i 0.994249 0.0745086i
\(503\) 1.00093e8 + 1.07874e8i 0.786499 + 0.847644i 0.991363 0.131146i \(-0.0418658\pi\)
−0.204864 + 0.978790i \(0.565675\pi\)
\(504\) 4.42758e8 3.01868e8i 3.45840 2.35790i
\(505\) 2.92154e7 + 2.32985e7i 0.226850 + 0.180907i
\(506\) 3.89759e6 4.20060e6i 0.0300846 0.0324235i
\(507\) 3.54499e7 2.35194e8i 0.272014 1.80469i
\(508\) 507068. + 2.22161e6i 0.00386790 + 0.0169464i
\(509\) −6.08286e6 1.05358e7i −0.0461269 0.0798941i 0.842040 0.539415i \(-0.181355\pi\)
−0.888167 + 0.459521i \(0.848021\pi\)
\(510\) 4.04908e7 + 2.33774e7i 0.305243 + 0.176232i
\(511\) 2.02330e8 + 6.24105e7i 1.51634 + 0.467730i
\(512\) −5.18300e7 + 4.13330e7i −0.386163 + 0.307955i
\(513\) 1.10931e7 1.48027e8i 0.0821674 1.09645i
\(514\) −1.33829e6 644484.i −0.00985506 0.00474595i
\(515\) 6.24215e7i 0.456996i
\(516\) 1.16851e8 + 5.27701e7i 0.850518 + 0.384095i
\(517\) −1.17464e6 −0.00850027
\(518\) 9.67016e7 2.00803e8i 0.695736 1.44471i
\(519\) −3.59256e8 2.69225e7i −2.56982 0.192581i
\(520\) −2.44402e7 3.06470e7i −0.173818 0.217961i
\(521\) −7.23806e6 + 2.34652e7i −0.0511810 + 0.165925i −0.977555 0.210680i \(-0.932432\pi\)
0.926374 + 0.376605i \(0.122908\pi\)
\(522\) −9.27465e7 + 1.60642e8i −0.652058 + 1.12940i
\(523\) −1.79671e8 + 1.03733e8i −1.25595 + 0.725123i −0.972285 0.233800i \(-0.924884\pi\)
−0.283666 + 0.958923i \(0.591551\pi\)
\(524\) −5.34447e7 + 1.21984e7i −0.371459 + 0.0847831i
\(525\) −6.81781e8 1.02762e8i −4.71158 0.710157i
\(526\) −1.86190e7 1.72759e7i −0.127938 0.118709i
\(527\) −1.89808e7 + 2.38011e7i −0.129683 + 0.162617i
\(528\) −1.65262e6 2.42395e6i −0.0112272 0.0164673i
\(529\) −1.33234e8 + 1.23623e8i −0.900014 + 0.835090i
\(530\) −1.19439e6 1.59381e7i −0.00802268 0.107055i
\(531\) 7.76348e7 1.97810e8i 0.518529 1.32119i
\(532\) 1.01436e7 4.44421e7i 0.0673686 0.295161i
\(533\) 2.31692e7 7.14674e6i 0.153013 0.0471983i
\(534\) −1.46205e8 + 2.14443e8i −0.960147 + 1.40828i
\(535\) 6.72913e7 + 4.46448e8i 0.439438 + 2.91548i
\(536\) 9.99750e7 3.92373e7i 0.649227 0.254803i
\(537\) −2.64983e8 + 1.27609e8i −1.71118 + 0.824060i
\(538\) −6.70509e7 1.39233e8i −0.430584 0.894116i
\(539\) 3.49693e6 + 8.91002e6i 0.0223316 + 0.0569000i
\(540\) 3.55987e8 5.36563e7i 2.26075 0.340753i
\(541\) 1.28815e7 + 8.78249e6i 0.0813535 + 0.0554659i 0.603314 0.797504i \(-0.293847\pi\)
−0.521960 + 0.852970i \(0.674799\pi\)
\(542\) −2.12625e7 6.89313e7i −0.133541 0.432931i
\(543\) 3.50708e8 + 8.00469e7i 2.19052 + 0.499971i
\(544\) −2.16499e7 8.49696e6i −0.134480 0.0527797i
\(545\) 1.48438e8 1.11239e7i 0.916970 0.0687174i
\(546\) 3.74371e7 + 4.03476e7i 0.229998 + 0.247879i
\(547\) 4.38304e7 2.98830e7i 0.267801 0.182584i −0.421973 0.906609i \(-0.638662\pi\)
0.689774 + 0.724025i \(0.257710\pi\)
\(548\) 1.23058e7 + 9.81351e6i 0.0747768 + 0.0596325i
\(549\) −5.31992e6 + 5.73351e6i −0.0321505 + 0.0346500i
\(550\) −1.19056e6 + 7.89887e6i −0.00715590 + 0.0474763i
\(551\) 1.05637e7 + 4.62826e7i 0.0631482 + 0.276670i
\(552\) 2.49731e8 + 4.32547e8i 1.48476 + 2.57167i
\(553\) 2.61718e7 + 1.51103e7i 0.154760 + 0.0893507i
\(554\) 1.19139e8 + 3.67495e7i 0.700688 + 0.216134i
\(555\) 5.84896e8 4.66439e8i 3.42137 2.72845i
\(556\) −194448. + 2.59473e6i −0.00113130 + 0.0150962i
\(557\) 9.45814e7 + 4.55480e7i 0.547319 + 0.263575i 0.687044 0.726616i \(-0.258908\pi\)
−0.139726 + 0.990190i \(0.544622\pi\)
\(558\) 3.92614e8i 2.25976i
\(559\) −7.68526e6 + 2.72816e7i −0.0439970 + 0.156183i
\(560\) −1.13398e8 −0.645716
\(561\) 984436. 2.04420e6i 0.00557570 0.0115781i
\(562\) −2.47296e8 1.85322e7i −1.39318 0.104404i
\(563\) 1.63627e8 + 2.05181e8i 0.916914 + 1.14977i 0.988330 + 0.152327i \(0.0486767\pi\)
−0.0714164 + 0.997447i \(0.522752\pi\)
\(564\) 1.00308e7 3.25190e7i 0.0559110 0.181259i
\(565\) −1.01040e8 + 1.75007e8i −0.560208 + 0.970309i
\(566\) 1.01079e8 5.83577e7i 0.557455 0.321847i
\(567\) −7.81861e8 + 1.78455e8i −4.28924 + 0.978991i
\(568\) −1.78854e8 2.69579e7i −0.976007 0.147109i
\(569\) −7.74286e7 7.18432e7i −0.420305 0.389986i 0.441471 0.897276i \(-0.354457\pi\)
−0.861776 + 0.507290i \(0.830647\pi\)
\(570\) −9.62174e7 + 1.20653e8i −0.519552 + 0.651497i
\(571\) 2.76402e7 + 4.05407e7i 0.148468 + 0.217763i 0.893267 0.449526i \(-0.148407\pi\)
−0.744799 + 0.667289i \(0.767455\pi\)
\(572\) −463490. + 430056.i −0.00247658 + 0.00229793i
\(573\) 3.37269e7 + 4.50055e8i 0.179272 + 2.39222i
\(574\) 7.58055e7 1.93149e8i 0.400835 1.02131i
\(575\) 1.02299e8 4.48203e8i 0.538108 2.35761i
\(576\) 4.03322e8 1.24408e8i 2.11050 0.651002i
\(577\) 4.37837e7 6.42190e7i 0.227922 0.334300i −0.695194 0.718822i \(-0.744682\pi\)
0.923116 + 0.384523i \(0.125634\pi\)
\(578\) −1.98458e7 1.31668e8i −0.102775 0.681864i
\(579\) −1.68345e8 + 6.60704e7i −0.867288 + 0.340386i
\(580\) −1.03731e8 + 4.99544e7i −0.531650 + 0.256029i
\(581\) 1.56113e8 + 3.24173e8i 0.795997 + 1.65291i
\(582\) 1.89484e8 + 4.82796e8i 0.961175 + 2.44904i
\(583\) −766941. + 115598.i −0.00387040 + 0.000583370i
\(584\) 1.76664e8 + 1.20447e8i 0.886971 + 0.604726i
\(585\) 3.89572e7 + 1.26296e8i 0.194590 + 0.630845i
\(586\) −1.60268e8 3.65801e7i −0.796440 0.181782i
\(587\) −2.86557e8 1.12465e8i −1.41676 0.556038i −0.471359 0.881942i \(-0.656236\pi\)
−0.945403 + 0.325904i \(0.894332\pi\)
\(588\) −2.76529e8 + 2.07230e7i −1.36022 + 0.101934i
\(589\) −6.83443e7 7.36576e7i −0.334469 0.360472i
\(590\) −1.09909e8 + 7.49347e7i −0.535152 + 0.364860i
\(591\) 2.12771e8 + 1.69679e8i 1.03074 + 0.821988i
\(592\) 5.17488e7 5.57719e7i 0.249422 0.268813i
\(593\) −2.94224e7 + 1.95205e8i −0.141096 + 0.936110i 0.800492 + 0.599343i \(0.204571\pi\)
−0.941588 + 0.336767i \(0.890667\pi\)
\(594\) 3.92074e6 + 1.71779e7i 0.0187072 + 0.0819615i
\(595\) −4.38502e7 7.59508e7i −0.208171 0.360563i
\(596\) −1.92148e7 1.10937e7i −0.0907605 0.0524006i
\(597\) −5.80821e7 1.79159e7i −0.272973 0.0842009i
\(598\) −2.86930e7 + 2.28819e7i −0.134175 + 0.107001i
\(599\) 2.01964e7 2.69502e8i 0.0939709 1.25396i −0.728459 0.685089i \(-0.759763\pi\)
0.822430 0.568866i \(-0.192618\pi\)
\(600\) −6.27305e8 3.02094e8i −2.90419 1.39858i
\(601\) 9.94742e7i 0.458234i −0.973399 0.229117i \(-0.926416\pi\)
0.973399 0.229117i \(-0.0735838\pi\)
\(602\) 1.41526e8 + 1.96984e8i 0.648706 + 0.902904i
\(603\) −3.62120e8 −1.65158
\(604\) −7.71136e7 + 1.60128e8i −0.349962 + 0.726703i
\(605\) −3.56825e8 2.67404e7i −1.61135 0.120754i
\(606\) −3.30356e7 4.14254e7i −0.148445 0.186144i
\(607\) 1.70809e7 5.53749e7i 0.0763738 0.247598i −0.909333 0.416070i \(-0.863407\pi\)
0.985706 + 0.168472i \(0.0538833\pi\)
\(608\) 3.83825e7 6.64804e7i 0.170774 0.295790i
\(609\) 4.21207e8 2.43184e8i 1.86485 1.07667i
\(610\) 4.77340e6 1.08950e6i 0.0210300 0.00479995i
\(611\) 7.43895e6 + 1.12124e6i 0.0326128 + 0.00491559i
\(612\) 3.44712e7 + 3.19846e7i 0.150384 + 0.139536i
\(613\) 2.84999e8 3.57378e8i 1.23726 1.55148i 0.521221 0.853421i \(-0.325477\pi\)
0.716042 0.698058i \(-0.245952\pi\)
\(614\) 2.05850e7 + 3.01927e7i 0.0889295 + 0.130436i
\(615\) 5.10555e8 4.73726e8i 2.19491 2.03658i
\(616\) 1.21651e6 + 1.62332e7i 0.00520442 + 0.0694482i
\(617\) −1.29576e7 + 3.30155e7i −0.0551657 + 0.140560i −0.955800 0.294018i \(-0.905007\pi\)
0.900634 + 0.434578i \(0.143103\pi\)
\(618\) 1.96951e7 8.62900e7i 0.0834437 0.365591i
\(619\) −4.50045e7 + 1.38820e7i −0.189751 + 0.0585304i −0.388174 0.921586i \(-0.626894\pi\)
0.198423 + 0.980116i \(0.436418\pi\)
\(620\) 1.37276e8 2.01346e8i 0.575994 0.844829i
\(621\) −1.51135e8 1.00272e9i −0.631089 4.18700i
\(622\) −1.38976e8 + 5.45440e7i −0.577521 + 0.226660i
\(623\) 4.38623e8 2.11230e8i 1.81396 0.873557i
\(624\) 8.15224e6 + 1.69283e7i 0.0335524 + 0.0696722i
\(625\) 429131. + 1.09341e6i 0.00175772 + 0.00447860i
\(626\) −1.37254e8 + 2.06878e7i −0.559504 + 0.0843316i
\(627\) 6.18754e6 + 4.21859e6i 0.0251024 + 0.0171145i
\(628\) 3.24146e7 + 1.05085e8i 0.130876 + 0.424291i
\(629\) 5.73654e7 + 1.30933e7i 0.230514 + 0.0526134i
\(630\) 1.05287e9 + 4.13220e8i 4.21067 + 1.65257i
\(631\) −4.44602e8 + 3.33183e7i −1.76963 + 0.132616i −0.919282 0.393600i \(-0.871230\pi\)
−0.850351 + 0.526216i \(0.823611\pi\)
\(632\) 2.07572e7 + 2.23709e7i 0.0822276 + 0.0886203i
\(633\) −4.91418e7 + 3.35043e7i −0.193749 + 0.132096i
\(634\) −1.36734e8 1.09042e8i −0.536547 0.427882i
\(635\) −9.84222e6 + 1.06074e7i −0.0384390 + 0.0414274i
\(636\) 3.34902e6 2.22193e7i 0.0130181 0.0863693i
\(637\) −1.36409e7 5.97649e7i −0.0527747 0.231221i
\(638\) −2.81745e6 4.87996e6i −0.0108491 0.0187912i
\(639\) 5.28151e8 + 3.04928e8i 2.02421 + 1.16868i
\(640\) 1.04849e8 + 3.23417e7i 0.399968 + 0.123374i
\(641\) −1.49029e8 + 1.18846e8i −0.565843 + 0.451245i −0.864156 0.503223i \(-0.832147\pi\)
0.298313 + 0.954468i \(0.403576\pi\)
\(642\) 4.78408e7 6.38392e8i 0.180798 2.41258i
\(643\) 3.38823e8 + 1.63168e8i 1.27450 + 0.613767i 0.943971 0.330029i \(-0.107059\pi\)
0.330529 + 0.943796i \(0.392773\pi\)
\(644\) 3.11402e8i 1.16591i
\(645\) 1.41123e8 + 8.01844e8i 0.525917 + 2.98821i
\(646\) −1.21377e7 −0.0450234
\(647\) −6.95300e7 + 1.44380e8i −0.256720 + 0.533084i −0.988999 0.147920i \(-0.952742\pi\)
0.732280 + 0.681004i \(0.238456\pi\)
\(648\) −8.07583e8 6.05200e7i −2.96799 0.222420i
\(649\) 4.02481e6 + 5.04695e6i 0.0147235 + 0.0184627i
\(650\) 1.50796e7 4.88869e7i 0.0549098 0.178013i
\(651\) −5.14722e8 + 8.91525e8i −1.86565 + 3.23140i
\(652\) 1.07042e8 6.18006e7i 0.386198 0.222972i
\(653\) 1.79817e8 4.10420e7i 0.645789 0.147397i 0.112932 0.993603i \(-0.463976\pi\)
0.532856 + 0.846206i \(0.321119\pi\)
\(654\) −2.08707e8 3.14575e7i −0.746112 0.112458i
\(655\) −2.55179e8 2.36772e8i −0.908074 0.842569i
\(656\) 4.41624e7 5.53779e7i 0.156438 0.196166i
\(657\) −4.06115e8 5.95661e8i −1.43203 2.10041i
\(658\) 4.71933e7 4.37890e7i 0.165654 0.153705i
\(659\) −3.55200e7 4.73981e8i −0.124113 1.65617i −0.617656 0.786448i \(-0.711918\pi\)
0.493544 0.869721i \(-0.335701\pi\)
\(660\) −6.63539e6 + 1.69067e7i −0.0230799 + 0.0588067i
\(661\) −4.99203e7 + 2.18715e8i −0.172851 + 0.757311i 0.811964 + 0.583707i \(0.198398\pi\)
−0.984816 + 0.173604i \(0.944459\pi\)
\(662\) 1.52750e7 4.71170e6i 0.0526509 0.0162407i
\(663\) −8.18568e6 + 1.20062e7i −0.0280876 + 0.0411969i
\(664\) 5.41529e7 + 3.59281e8i 0.184977 + 1.22724i
\(665\) 2.69458e8 1.05754e8i 0.916275 0.359611i
\(666\) −6.83703e8 + 3.29254e8i −2.31444 + 1.11457i
\(667\) 1.40708e8 + 2.92183e8i 0.474177 + 0.984639i
\(668\) 1.64753e7 + 4.19783e7i 0.0552718 + 0.140830i
\(669\) 4.43260e8 6.68106e7i 1.48040 0.223135i
\(670\) 1.87295e8 + 1.27696e8i 0.622734 + 0.424573i
\(671\) −70033.4 227043.i −0.000231813 0.000751519i
\(672\) −7.66754e8 1.75007e8i −2.52667 0.576696i
\(673\) −1.08863e8 4.27257e7i −0.357138 0.140166i 0.179987 0.983669i \(-0.442394\pi\)
−0.537125 + 0.843503i \(0.680490\pi\)
\(674\) 3.58934e8 2.68984e7i 1.17229 0.0878509i
\(675\) 9.61483e8 + 1.03623e9i 3.12630 + 3.36935i
\(676\) −1.23730e8 + 8.43578e7i −0.400530 + 0.273077i
\(677\) −2.66549e8 2.12566e8i −0.859035 0.685057i 0.0914565 0.995809i \(-0.470848\pi\)
−0.950491 + 0.310752i \(0.899419\pi\)
\(678\) 1.94894e8 2.10046e8i 0.625330 0.673945i
\(679\) 1.44997e8 9.61991e8i 0.463179 3.07299i
\(680\) −1.97069e7 8.63416e7i −0.0626747 0.274596i
\(681\) −3.59308e8 6.22340e8i −1.13769 1.97054i
\(682\) 1.03289e7 + 5.96339e6i 0.0325612 + 0.0187992i
\(683\) 4.66765e8 + 1.43978e8i 1.46500 + 0.451891i 0.921784 0.387705i \(-0.126732\pi\)
0.543211 + 0.839596i \(0.317208\pi\)
\(684\) −1.21348e8 + 9.67718e7i −0.379196 + 0.302399i
\(685\) −7.46911e6 + 9.96684e7i −0.0232379 + 0.310088i
\(686\) −1.49279e8 7.18888e7i −0.462408 0.222684i
\(687\) 7.14072e8i 2.20228i
\(688\) 2.63455e7 + 7.84966e7i 0.0808987 + 0.241038i
\(689\) 4.96736e6 0.0151869
\(690\) −4.57401e8 + 9.49803e8i −1.39235 + 2.89125i
\(691\) −2.02550e8 1.51790e7i −0.613900 0.0460055i −0.235848 0.971790i \(-0.575787\pi\)
−0.378052 + 0.925784i \(0.623406\pi\)
\(692\) 1.41421e8 + 1.77337e8i 0.426772 + 0.535156i
\(693\) 1.61783e7 5.24487e7i 0.0486108 0.157592i
\(694\) 7.08618e6 1.22736e7i 0.0211999 0.0367193i
\(695\) −1.43093e7 + 8.26146e6i −0.0426249 + 0.0246095i
\(696\) 4.78833e8 1.09290e8i 1.42022 0.324156i
\(697\) 5.41678e7 + 8.16449e6i 0.159972 + 0.0241119i
\(698\) 1.30312e8 + 1.20912e8i 0.383194 + 0.355552i
\(699\) −2.52641e8 + 3.16802e8i −0.739728 + 0.927590i
\(700\) 2.44536e8 + 3.58668e8i 0.712933 + 1.04568i
\(701\) 4.40943e8 4.09136e8i 1.28006 1.18772i 0.308416 0.951252i \(-0.400201\pi\)
0.971640 0.236467i \(-0.0759894\pi\)
\(702\) −8.43292e6 1.12529e8i −0.0243762 0.325278i
\(703\) −7.09535e7 + 1.80787e8i −0.204224 + 0.520355i
\(704\) −2.85310e6 + 1.25002e7i −0.00817710 + 0.0358262i
\(705\) 2.06498e8 6.36961e7i 0.589315 0.181780i
\(706\) 1.92246e8 2.81973e8i 0.546314 0.801296i
\(707\) 1.48128e7 + 9.82768e7i 0.0419160 + 0.278095i
\(708\) −1.74091e8 + 6.83256e7i −0.490542 + 0.192523i
\(709\) −5.68124e8 + 2.73594e8i −1.59406 + 0.767659i −0.999342 0.0362752i \(-0.988451\pi\)
−0.594718 + 0.803934i \(0.702736\pi\)
\(710\) −1.65642e8 3.43959e8i −0.462802 0.961019i
\(711\) −3.75924e7 9.57838e7i −0.104590 0.266491i
\(712\) 4.86127e8 7.32719e7i 1.34682 0.203001i
\(713\) −5.67137e8 3.86668e8i −1.56466 1.06677i
\(714\) 3.66537e7 + 1.18828e8i 0.100698 + 0.326456i
\(715\) −3.91433e6 893419.i −0.0107087 0.00244420i
\(716\) 1.72371e8 + 6.76506e7i 0.469597 + 0.184303i
\(717\) 1.94280e8 1.45593e7i 0.527073 0.0394987i
\(718\) −2.79996e8 3.01764e8i −0.756446 0.815255i
\(719\) −9.71073e7 + 6.62066e7i −0.261255 + 0.178121i −0.686863 0.726787i \(-0.741013\pi\)
0.425608 + 0.904908i \(0.360060\pi\)
\(720\) 3.01867e8 + 2.40731e8i 0.808758 + 0.644963i
\(721\) −1.12923e8 + 1.21702e8i −0.301285 + 0.324708i
\(722\) −3.37782e7 + 2.24104e8i −0.0897481 + 0.595440i
\(723\) 5.38694e6 + 2.36017e7i 0.0142537 + 0.0624494i
\(724\) −1.13242e8 1.96141e8i −0.298396 0.516837i
\(725\) −3.91509e8 2.26038e8i −1.02737 0.593153i
\(726\) 4.84830e8 + 1.49550e8i 1.26701 + 0.390821i
\(727\) 9.51584e7 7.58863e7i 0.247653 0.197497i −0.491794 0.870712i \(-0.663659\pi\)
0.739447 + 0.673215i \(0.235087\pi\)
\(728\) 7.79113e6 1.03965e8i 0.0201932 0.269460i
\(729\) 6.04038e8 + 2.90890e8i 1.55913 + 0.750837i
\(730\) 4.51298e8i 1.16010i
\(731\) −4.23872e7 + 4.79996e7i −0.108513 + 0.122881i
\(732\) 6.88355e6 0.0175501
\(733\) 1.77175e8 3.67908e8i 0.449874 0.934173i −0.545501 0.838110i \(-0.683661\pi\)
0.995375 0.0960630i \(-0.0306250\pi\)
\(734\) 1.68494e7 + 1.26269e6i 0.0426086 + 0.00319307i
\(735\) −1.09790e9 1.37673e9i −2.76505 3.46726i
\(736\) 1.54570e8 5.01103e8i 0.387696 1.25688i
\(737\) 5.50022e6 9.52666e6i 0.0137397 0.0237979i
\(738\) −6.11830e8 + 3.53240e8i −1.52217 + 0.878822i
\(739\) −6.49731e8 + 1.48297e8i −1.60990 + 0.367450i −0.930494 0.366308i \(-0.880622\pi\)
−0.679411 + 0.733758i \(0.737765\pi\)
\(740\) −4.65750e8 7.02005e7i −1.14936 0.173239i
\(741\) −3.51587e7 3.26225e7i −0.0864128 0.0801794i
\(742\) 2.65040e7 3.32349e7i 0.0648783 0.0813548i
\(743\) 2.37239e8 + 3.47966e8i 0.578389 + 0.848341i 0.998243 0.0592506i \(-0.0188711\pi\)
−0.419854 + 0.907592i \(0.637919\pi\)
\(744\) −7.62051e8 + 7.07080e8i −1.85040 + 1.71692i
\(745\) −1.05288e7 1.40497e8i −0.0254630 0.339780i
\(746\) 3.54942e7 9.04377e7i 0.0854950 0.217838i
\(747\) 2.72606e8 1.19436e9i 0.653994 2.86533i
\(748\) −1.36503e6 + 421057.i −0.00326166 + 0.00100609i
\(749\) −6.76448e8 + 9.92167e8i −1.60986 + 2.36123i
\(750\) −8.38408e7 5.56248e8i −0.198734 1.31851i
\(751\) 1.79322e8 7.03787e7i 0.423364 0.166158i −0.144087 0.989565i \(-0.546025\pi\)
0.567452 + 0.823407i \(0.307929\pi\)
\(752\) 1.98005e7 9.53542e6i 0.0465610 0.0224226i