Properties

Label 43.7.h.a.3.9
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 3.9
Character \(\chi\) \(=\) 43.3
Dual form 43.7.h.a.29.9

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.910519 + 1.89071i) q^{2} +(23.8619 + 1.78820i) q^{3} +(37.1576 + 46.5942i) q^{4} +(47.7974 - 154.955i) q^{5} +(-25.1077 + 43.4878i) q^{6} +(360.408 - 208.082i) q^{7} +(-252.868 + 57.7154i) q^{8} +(-154.664 - 23.3118i) q^{9} +O(q^{10})\) \(q+(-0.910519 + 1.89071i) q^{2} +(23.8619 + 1.78820i) q^{3} +(37.1576 + 46.5942i) q^{4} +(47.7974 - 154.955i) q^{5} +(-25.1077 + 43.4878i) q^{6} +(360.408 - 208.082i) q^{7} +(-252.868 + 57.7154i) q^{8} +(-154.664 - 23.3118i) q^{9} +(249.455 + 231.461i) q^{10} +(423.929 - 531.590i) q^{11} +(803.332 + 1178.27i) q^{12} +(-556.338 + 516.206i) q^{13} +(65.2642 + 870.890i) q^{14} +(1417.63 - 3612.06i) q^{15} +(-727.612 + 3187.87i) q^{16} +(6478.19 - 1998.26i) q^{17} +(184.900 - 271.199i) q^{18} +(0.579777 + 3.84657i) q^{19} +(8996.05 - 3530.69i) q^{20} +(8972.12 - 4320.75i) q^{21} +(619.088 + 1285.55i) q^{22} +(7158.30 + 18239.1i) q^{23} +(-6137.11 + 925.021i) q^{24} +(-8816.57 - 6011.03i) q^{25} +(-469.441 - 1521.89i) q^{26} +(-20655.7 - 4714.52i) q^{27} +(23087.3 + 9061.09i) q^{28} +(8768.33 - 657.096i) q^{29} +(5538.59 + 5969.18i) q^{30} +(-29293.2 + 19971.8i) q^{31} +(-18343.0 - 14628.1i) q^{32} +(11066.3 - 11926.7i) q^{33} +(-2120.38 + 14067.8i) q^{34} +(-15016.8 - 65792.9i) q^{35} +(-4660.75 - 8072.65i) q^{36} +(-55204.9 - 31872.6i) q^{37} +(-7.80066 - 2.40618i) q^{38} +(-14198.4 + 11322.8i) q^{39} +(-3143.10 + 41941.8i) q^{40} +(-87081.4 - 41936.2i) q^{41} +20897.8i q^{42} +(22129.5 + 76365.2i) q^{43} +40521.1 q^{44} +(-11004.8 + 22851.7i) q^{45} +(-41002.6 - 3072.72i) q^{46} +(68801.3 + 86274.1i) q^{47} +(-23062.8 + 74767.7i) q^{48} +(27771.5 - 48101.6i) q^{49} +(19392.8 - 11196.4i) q^{50} +(158155. - 36097.9i) q^{51} +(-44724.4 - 6741.12i) q^{52} +(-115536. - 107201. i) q^{53} +(27721.2 - 34761.2i) q^{54} +(-62109.9 - 91098.6i) q^{55} +(-79126.0 + 73418.2i) q^{56} +(6.95615 + 92.8233i) q^{57} +(-6741.35 + 17176.7i) q^{58} +(16157.2 - 70789.3i) q^{59} +(220977. - 68162.2i) q^{60} +(45898.7 - 67321.0i) q^{61} +(-11088.9 - 73569.8i) q^{62} +(-60592.9 + 23781.0i) q^{63} +(-144187. + 69437.0i) q^{64} +(53397.4 + 110881. i) q^{65} +(12473.8 + 31782.7i) q^{66} +(252124. - 38001.6i) q^{67} +(333821. + 227595. i) q^{68} +(138196. + 448019. i) q^{69} +(138069. + 31513.2i) q^{70} +(151910. + 59620.1i) q^{71} +(40454.9 - 3031.68i) q^{72} +(-187236. - 201793. i) q^{73} +(110527. - 75356.0i) q^{74} +(-199631. - 159201. i) q^{75} +(-157.685 + 169.944i) q^{76} +(42173.2 - 279801. i) q^{77} +(-8480.32 - 37154.7i) q^{78} +(-415239. - 719215. i) q^{79} +(459200. + 265119. i) q^{80} +(-375495. - 115825. i) q^{81} +(158579. - 126462. i) q^{82} +(-62538.5 + 834519. i) q^{83} +(534704. + 257500. i) q^{84} -1.09934e6i q^{85} +(-164534. - 27691.5i) q^{86} +210404. q^{87} +(-76516.9 + 158889. i) q^{88} +(-81861.7 - 6134.69i) q^{89} +(-33186.0 - 41613.9i) q^{90} +(-93095.7 + 301809. i) q^{91} +(-583848. + 1.01125e6i) q^{92} +(-734707. + 424183. i) q^{93} +(-225764. + 51529.2i) q^{94} +(623.758 + 94.0164i) q^{95} +(-411542. - 381855. i) q^{96} +(-657116. + 823997. i) q^{97} +(65659.9 + 96305.4i) q^{98} +(-77958.8 + 72335.2i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.910519 + 1.89071i −0.113815 + 0.236339i −0.950093 0.311966i \(-0.899012\pi\)
0.836278 + 0.548305i \(0.184727\pi\)
\(3\) 23.8619 + 1.78820i 0.883775 + 0.0662298i 0.508880 0.860838i \(-0.330060\pi\)
0.374895 + 0.927067i \(0.377679\pi\)
\(4\) 37.1576 + 46.5942i 0.580587 + 0.728034i
\(5\) 47.7974 154.955i 0.382379 1.23964i −0.536094 0.844158i \(-0.680101\pi\)
0.918473 0.395484i \(-0.129423\pi\)
\(6\) −25.1077 + 43.4878i −0.116239 + 0.201333i
\(7\) 360.408 208.082i 1.05075 0.606652i 0.127893 0.991788i \(-0.459179\pi\)
0.922860 + 0.385136i \(0.125845\pi\)
\(8\) −252.868 + 57.7154i −0.493882 + 0.112725i
\(9\) −154.664 23.3118i −0.212159 0.0319778i
\(10\) 249.455 + 231.461i 0.249455 + 0.231461i
\(11\) 423.929 531.590i 0.318504 0.399391i −0.596646 0.802504i \(-0.703500\pi\)
0.915150 + 0.403113i \(0.132072\pi\)
\(12\) 803.332 + 1178.27i 0.464891 + 0.681870i
\(13\) −556.338 + 516.206i −0.253226 + 0.234960i −0.796563 0.604555i \(-0.793351\pi\)
0.543337 + 0.839515i \(0.317161\pi\)
\(14\) 65.2642 + 870.890i 0.0237843 + 0.317380i
\(15\) 1417.63 3612.06i 0.420038 1.07024i
\(16\) −727.612 + 3187.87i −0.177640 + 0.778290i
\(17\) 6478.19 1998.26i 1.31858 0.406728i 0.445927 0.895069i \(-0.352874\pi\)
0.872653 + 0.488341i \(0.162398\pi\)
\(18\) 184.900 271.199i 0.0317045 0.0465019i
\(19\) 0.579777 + 3.84657i 8.45280e−5 + 0.000560806i 0.988873 0.148762i \(-0.0475288\pi\)
−0.988789 + 0.149323i \(0.952291\pi\)
\(20\) 8996.05 3530.69i 1.12451 0.441336i
\(21\) 8972.12 4320.75i 0.968807 0.466553i
\(22\) 619.088 + 1285.55i 0.0581412 + 0.120732i
\(23\) 7158.30 + 18239.1i 0.588337 + 1.49906i 0.846193 + 0.532876i \(0.178889\pi\)
−0.257856 + 0.966183i \(0.583016\pi\)
\(24\) −6137.11 + 925.021i −0.443946 + 0.0669141i
\(25\) −8816.57 6011.03i −0.564260 0.384706i
\(26\) −469.441 1521.89i −0.0267092 0.0865892i
\(27\) −20655.7 4714.52i −1.04942 0.239522i
\(28\) 23087.3 + 9061.09i 1.05172 + 0.412769i
\(29\) 8768.33 657.096i 0.359520 0.0269423i 0.106254 0.994339i \(-0.466114\pi\)
0.253266 + 0.967397i \(0.418495\pi\)
\(30\) 5538.59 + 5969.18i 0.205133 + 0.221081i
\(31\) −29293.2 + 19971.8i −0.983291 + 0.670397i −0.944384 0.328846i \(-0.893340\pi\)
−0.0389078 + 0.999243i \(0.512388\pi\)
\(32\) −18343.0 14628.1i −0.559785 0.446413i
\(33\) 11066.3 11926.7i 0.307937 0.331877i
\(34\) −2120.38 + 14067.8i −0.0539483 + 0.357924i
\(35\) −15016.8 65792.9i −0.350246 1.53453i
\(36\) −4660.75 8072.65i −0.0998960 0.173025i
\(37\) −55204.9 31872.6i −1.08987 0.629234i −0.156325 0.987706i \(-0.549965\pi\)
−0.933541 + 0.358472i \(0.883298\pi\)
\(38\) −7.80066 2.40618i −0.000142161 4.38508e-5i
\(39\) −14198.4 + 11322.8i −0.239356 + 0.190880i
\(40\) −3143.10 + 41941.8i −0.0491110 + 0.655341i
\(41\) −87081.4 41936.2i −1.26350 0.608468i −0.322399 0.946604i \(-0.604489\pi\)
−0.941097 + 0.338136i \(0.890204\pi\)
\(42\) 20897.8i 0.282068i
\(43\) 22129.5 + 76365.2i 0.278334 + 0.960484i
\(44\) 40521.1 0.475690
\(45\) −11004.8 + 22851.7i −0.120766 + 0.250774i
\(46\) −41002.6 3072.72i −0.421248 0.0315681i
\(47\) 68801.3 + 86274.1i 0.662678 + 0.830972i 0.993632 0.112675i \(-0.0359418\pi\)
−0.330954 + 0.943647i \(0.607370\pi\)
\(48\) −23062.8 + 74767.7i −0.208539 + 0.676068i
\(49\) 27771.5 48101.6i 0.236054 0.408857i
\(50\) 19392.8 11196.4i 0.155142 0.0895714i
\(51\) 158155. 36097.9i 1.19227 0.272127i
\(52\) −44724.4 6741.12i −0.318079 0.0479426i
\(53\) −115536. 107201.i −0.776047 0.720066i 0.189048 0.981968i \(-0.439460\pi\)
−0.965095 + 0.261902i \(0.915650\pi\)
\(54\) 27721.2 34761.2i 0.176048 0.220757i
\(55\) −62109.9 91098.6i −0.373313 0.547550i
\(56\) −79126.0 + 73418.2i −0.450563 + 0.418061i
\(57\) 6.95615 + 92.8233i 3.75616e−5 + 0.000501225i
\(58\) −6741.35 + 17176.7i −0.0345512 + 0.0880350i
\(59\) 16157.2 70789.3i 0.0786702 0.344677i −0.920240 0.391355i \(-0.872006\pi\)
0.998910 + 0.0466784i \(0.0148636\pi\)
\(60\) 220977. 68162.2i 1.02304 0.315566i
\(61\) 45898.7 67321.0i 0.202214 0.296593i −0.711715 0.702469i \(-0.752081\pi\)
0.913928 + 0.405876i \(0.133033\pi\)
\(62\) −11088.9 73569.8i −0.0465277 0.308691i
\(63\) −60592.9 + 23781.0i −0.242326 + 0.0951060i
\(64\) −144187. + 69437.0i −0.550031 + 0.264881i
\(65\) 53397.4 + 110881.i 0.194438 + 0.403754i
\(66\) 12473.8 + 31782.7i 0.0433877 + 0.110550i
\(67\) 252124. 38001.6i 0.838281 0.126350i 0.284150 0.958780i \(-0.408289\pi\)
0.554131 + 0.832429i \(0.313051\pi\)
\(68\) 333821. + 227595.i 1.06166 + 0.723830i
\(69\) 138196. + 448019.i 0.420675 + 1.36380i
\(70\) 138069. + 31513.2i 0.402532 + 0.0918753i
\(71\) 151910. + 59620.1i 0.424434 + 0.166578i 0.567937 0.823072i \(-0.307742\pi\)
−0.143503 + 0.989650i \(0.545837\pi\)
\(72\) 40454.9 3031.68i 0.108386 0.00812243i
\(73\) −187236. 201793.i −0.481306 0.518725i 0.444983 0.895539i \(-0.353210\pi\)
−0.926289 + 0.376815i \(0.877019\pi\)
\(74\) 110527. 75356.0i 0.272755 0.185961i
\(75\) −199631. 159201.i −0.473200 0.377365i
\(76\) −157.685 + 169.944i −0.000359210 + 0.000387136i
\(77\) 42173.2 279801.i 0.0923771 0.612882i
\(78\) −8480.32 37154.7i −0.0178702 0.0782943i
\(79\) −415239. 719215.i −0.842203 1.45874i −0.888028 0.459789i \(-0.847925\pi\)
0.0458247 0.998949i \(-0.485408\pi\)
\(80\) 459200. + 265119.i 0.896875 + 0.517811i
\(81\) −375495. 115825.i −0.706561 0.217945i
\(82\) 158579. 126462.i 0.287609 0.229361i
\(83\) −62538.5 + 834519.i −0.109374 + 1.45949i 0.624935 + 0.780677i \(0.285126\pi\)
−0.734309 + 0.678816i \(0.762494\pi\)
\(84\) 534704. + 257500.i 0.902144 + 0.434449i
\(85\) 1.09934e6i 1.79009i
\(86\) −164534. 27691.5i −0.258678 0.0435363i
\(87\) 210404. 0.319519
\(88\) −76516.9 + 158889.i −0.112282 + 0.233156i
\(89\) −81861.7 6134.69i −0.116121 0.00870207i 0.0165428 0.999863i \(-0.494734\pi\)
−0.132664 + 0.991161i \(0.542353\pi\)
\(90\) −33186.0 41613.9i −0.0455226 0.0570835i
\(91\) −93095.7 + 301809.i −0.123539 + 0.400505i
\(92\) −583848. + 1.01125e6i −0.749784 + 1.29866i
\(93\) −734707. + 424183.i −0.913409 + 0.527357i
\(94\) −225764. + 51529.2i −0.271814 + 0.0620397i
\(95\) 623.758 + 94.0164i 0.000727521 + 0.000109656i
\(96\) −411542. 381855.i −0.465158 0.431603i
\(97\) −657116. + 823997.i −0.719990 + 0.902839i −0.998337 0.0576413i \(-0.981642\pi\)
0.278347 + 0.960481i \(0.410213\pi\)
\(98\) 65659.9 + 96305.4i 0.0697625 + 0.102323i
\(99\) −77958.8 + 72335.2i −0.0803451 + 0.0745494i
\(100\) −47523.4 634156.i −0.0475234 0.634156i
\(101\) 219953. 560432.i 0.213485 0.543950i −0.783514 0.621375i \(-0.786574\pi\)
0.996998 + 0.0774247i \(0.0246697\pi\)
\(102\) −75752.6 + 331894.i −0.0713834 + 0.312751i
\(103\) −1.48539e6 + 458181.i −1.35934 + 0.419301i −0.886859 0.462040i \(-0.847118\pi\)
−0.472481 + 0.881341i \(0.656641\pi\)
\(104\) 110887. 162641.i 0.0985780 0.144587i
\(105\) −240679. 1.59680e6i −0.207907 1.37937i
\(106\) 307884. 120836.i 0.258505 0.101456i
\(107\) −368905. + 177655.i −0.301136 + 0.145019i −0.578350 0.815789i \(-0.696303\pi\)
0.277214 + 0.960808i \(0.410589\pi\)
\(108\) −547845. 1.13761e6i −0.434897 0.903074i
\(109\) 266764. + 679704.i 0.205991 + 0.524856i 0.996112 0.0880945i \(-0.0280778\pi\)
−0.790121 + 0.612950i \(0.789983\pi\)
\(110\) 228793. 34485.1i 0.171896 0.0259091i
\(111\) −1.26030e6 859259.i −0.921521 0.628283i
\(112\) 401101. + 1.30034e6i 0.285496 + 0.925555i
\(113\) 959606. + 219024.i 0.665055 + 0.151794i 0.541705 0.840569i \(-0.317779\pi\)
0.123350 + 0.992363i \(0.460636\pi\)
\(114\) −181.836 71.3653i −0.000122734 4.81696e-5i
\(115\) 3.16839e6 237438.i 2.08326 0.156119i
\(116\) 356427. + 384137.i 0.228348 + 0.246100i
\(117\) 98079.2 66869.3i 0.0612378 0.0417512i
\(118\) 119131. + 95003.6i 0.0725067 + 0.0578221i
\(119\) 1.91899e6 2.06818e6i 1.13876 1.22729i
\(120\) −150001. + 995192.i −0.0868061 + 0.575921i
\(121\) 291337. + 1.27643e6i 0.164452 + 0.720513i
\(122\) 85493.0 + 148078.i 0.0470816 + 0.0815477i
\(123\) −2.00294e6 1.15640e6i −1.07635 0.621430i
\(124\) −2.01903e6 622790.i −1.05896 0.326645i
\(125\) 628110. 500901.i 0.321592 0.256461i
\(126\) 10208.0 136217.i 0.00510306 0.0680956i
\(127\) 1.84944e6 + 890642.i 0.902877 + 0.434803i 0.826927 0.562309i \(-0.190087\pi\)
0.0759499 + 0.997112i \(0.475801\pi\)
\(128\) 1.83738e6i 0.876133i
\(129\) 391495. + 1.86179e6i 0.182372 + 0.867286i
\(130\) −258263. −0.117553
\(131\) −967301. + 2.00862e6i −0.430277 + 0.893479i 0.567274 + 0.823529i \(0.307998\pi\)
−0.997551 + 0.0699496i \(0.977716\pi\)
\(132\) 966912. + 72460.1i 0.420402 + 0.0315048i
\(133\) 1009.36 + 1265.69i 0.000429032 + 0.000537990i
\(134\) −157714. + 511295.i −0.0655473 + 0.212499i
\(135\) −1.71783e6 + 2.97536e6i −0.698197 + 1.20931i
\(136\) −1.52279e6 + 879185.i −0.605374 + 0.349513i
\(137\) 4.54891e6 1.03826e6i 1.76907 0.403779i 0.790962 0.611865i \(-0.209580\pi\)
0.978111 + 0.208086i \(0.0667233\pi\)
\(138\) −972905. 146642.i −0.370197 0.0557983i
\(139\) −1.58248e6 1.46833e6i −0.589242 0.546737i 0.328199 0.944609i \(-0.393558\pi\)
−0.917441 + 0.397872i \(0.869749\pi\)
\(140\) 2.50758e6 3.14440e6i 0.913840 1.14592i
\(141\) 1.48745e6 + 2.18170e6i 0.530623 + 0.778282i
\(142\) −251041. + 232932.i −0.0876758 + 0.0813513i
\(143\) 38562.3 + 514578.i 0.0131873 + 0.175972i
\(144\) 186851. 476087.i 0.0625759 0.159441i
\(145\) 317283. 1.39011e6i 0.104074 0.455978i
\(146\) 552014. 170274.i 0.177375 0.0547128i
\(147\) 748697. 1.09814e6i 0.235697 0.345704i
\(148\) −566207. 3.75654e6i −0.174659 1.15878i
\(149\) 1.75090e6 687178.i 0.529301 0.207736i −0.0856143 0.996328i \(-0.527285\pi\)
0.614916 + 0.788593i \(0.289190\pi\)
\(150\) 482771. 232490.i 0.143043 0.0688860i
\(151\) 2.05882e6 + 4.27518e6i 0.597981 + 1.24172i 0.951890 + 0.306441i \(0.0991381\pi\)
−0.353909 + 0.935280i \(0.615148\pi\)
\(152\) −368.613 939.211i −0.000104964 0.000267444i
\(153\) −1.04852e6 + 158040.i −0.292755 + 0.0441257i
\(154\) 490624. + 334501.i 0.134334 + 0.0915874i
\(155\) 1.69459e6 + 5.49374e6i 0.455062 + 1.47528i
\(156\) −1.05516e6 240832.i −0.277935 0.0634368i
\(157\) −2.83766e6 1.11370e6i −0.733265 0.287785i −0.0308217 0.999525i \(-0.509812\pi\)
−0.702444 + 0.711740i \(0.747908\pi\)
\(158\) 1.73791e6 130238.i 0.440612 0.0330193i
\(159\) −2.56520e6 2.76463e6i −0.638161 0.687774i
\(160\) −3.14345e6 + 2.14317e6i −0.767443 + 0.523234i
\(161\) 6.37512e6 + 5.08399e6i 1.52760 + 1.21822i
\(162\) 560887. 604493.i 0.131926 0.142182i
\(163\) 1.00624e6 6.67595e6i 0.232347 1.54152i −0.503272 0.864128i \(-0.667871\pi\)
0.735619 0.677395i \(-0.236891\pi\)
\(164\) −1.28175e6 5.61573e6i −0.290585 1.27314i
\(165\) −1.31916e6 2.28485e6i −0.293661 0.508635i
\(166\) −1.52089e6 878088.i −0.332487 0.191961i
\(167\) −1.34741e6 415621.i −0.289301 0.0892376i 0.146708 0.989180i \(-0.453132\pi\)
−0.436009 + 0.899942i \(0.643608\pi\)
\(168\) −2.01939e6 + 1.61041e6i −0.425884 + 0.339631i
\(169\) −317665. + 4.23894e6i −0.0658126 + 0.878208i
\(170\) 2.07854e6 + 1.00097e6i 0.423069 + 0.203739i
\(171\) 608.441i 0.000121683i
\(172\) −2.73590e6 + 3.86865e6i −0.537668 + 0.760281i
\(173\) −3.78003e6 −0.730058 −0.365029 0.930996i \(-0.618941\pi\)
−0.365029 + 0.930996i \(0.618941\pi\)
\(174\) −191577. + 397814.i −0.0363660 + 0.0755148i
\(175\) −4.42835e6 331859.i −0.826281 0.0619212i
\(176\) 1.38619e6 + 1.73822e6i 0.254263 + 0.318836i
\(177\) 512128. 1.66028e6i 0.0923546 0.299406i
\(178\) 86135.6 149191.i 0.0152729 0.0264535i
\(179\) 1.52232e6 878911.i 0.265428 0.153245i −0.361380 0.932419i \(-0.617694\pi\)
0.626808 + 0.779174i \(0.284361\pi\)
\(180\) −1.47367e6 + 336356.i −0.252687 + 0.0576742i
\(181\) −9.60579e6 1.44784e6i −1.61993 0.244166i −0.724472 0.689304i \(-0.757916\pi\)
−0.895462 + 0.445139i \(0.853154\pi\)
\(182\) −485868. 450820.i −0.0805943 0.0747806i
\(183\) 1.21561e6 1.52433e6i 0.198355 0.248729i
\(184\) −2.86278e6 4.19892e6i −0.459551 0.674038i
\(185\) −7.57748e6 + 7.03087e6i −1.19677 + 1.11044i
\(186\) −133044. 1.77535e6i −0.0206755 0.275895i
\(187\) 1.68404e6 4.29085e6i 0.257529 0.656174i
\(188\) −1.46338e6 + 6.41147e6i −0.220233 + 0.964904i
\(189\) −8.42547e6 + 2.59891e6i −1.24798 + 0.384952i
\(190\) −745.702 + 1093.74i −0.000108719 + 0.000159461i
\(191\) −1.44314e6 9.57463e6i −0.207114 1.37411i −0.814711 0.579867i \(-0.803105\pi\)
0.607597 0.794245i \(-0.292133\pi\)
\(192\) −3.56476e6 + 1.39906e6i −0.503647 + 0.197667i
\(193\) 7.13216e6 3.43467e6i 0.992085 0.477763i 0.133840 0.991003i \(-0.457269\pi\)
0.858245 + 0.513240i \(0.171555\pi\)
\(194\) −959625. 1.99268e6i −0.131431 0.272918i
\(195\) 1.07589e6 + 2.74132e6i 0.145098 + 0.369705i
\(196\) 3.27318e6 493352.i 0.434712 0.0655223i
\(197\) 1.03265e7 + 7.04050e6i 1.35069 + 0.920883i 0.999879 0.0155637i \(-0.00495429\pi\)
0.350809 + 0.936447i \(0.385907\pi\)
\(198\) −65782.1 213260.i −0.00847446 0.0274735i
\(199\) 3.45965e6 + 789643.i 0.439009 + 0.100201i 0.436312 0.899795i \(-0.356284\pi\)
0.00269682 + 0.999996i \(0.499142\pi\)
\(200\) 2.57635e6 + 1.01114e6i 0.322044 + 0.126393i
\(201\) 6.08411e6 455941.i 0.749220 0.0561463i
\(202\) 859344. + 926153.i 0.104259 + 0.112364i
\(203\) 3.02345e6 2.06135e6i 0.361422 0.246413i
\(204\) 7.55862e6 + 6.02780e6i 0.890332 + 0.710016i
\(205\) −1.06605e7 + 1.14893e7i −1.23742 + 1.33362i
\(206\) 486185. 3.22562e6i 0.0556160 0.368988i
\(207\) −681945. 2.98780e6i −0.0768844 0.336853i
\(208\) −1.24080e6 2.14913e6i −0.137884 0.238822i
\(209\) 2290.58 + 1322.47i 0.000250904 + 0.000144859i
\(210\) 3.23823e6 + 998861.i 0.349663 + 0.107857i
\(211\) 7.40218e6 5.90304e6i 0.787974 0.628389i −0.144549 0.989498i \(-0.546173\pi\)
0.932524 + 0.361109i \(0.117602\pi\)
\(212\) 701932. 9.36663e6i 0.0736694 0.983050i
\(213\) 3.51824e6 + 1.69430e6i 0.364072 + 0.175328i
\(214\) 859251.i 0.0876755i
\(215\) 1.28909e7 + 220980.i 1.29709 + 0.0222350i
\(216\) 5.49524e6 0.545288
\(217\) −6.40175e6 + 1.32934e7i −0.626498 + 1.30094i
\(218\) −1.52802e6 114509.i −0.147489 0.0110528i
\(219\) −4.10697e6 5.14998e6i −0.391011 0.490313i
\(220\) 1.93680e6 6.27896e6i 0.181894 0.589685i
\(221\) −2.57255e6 + 4.45579e6i −0.238335 + 0.412808i
\(222\) 2.77214e6 1.60050e6i 0.253371 0.146284i
\(223\) 4.25856e6 971988.i 0.384015 0.0876488i −0.0261555 0.999658i \(-0.508326\pi\)
0.410170 + 0.912009i \(0.365469\pi\)
\(224\) −9.65481e6 1.45523e6i −0.859013 0.129475i
\(225\) 1.22348e6 + 1.13522e6i 0.107411 + 0.0996627i
\(226\) −1.28785e6 + 1.61491e6i −0.111568 + 0.139902i
\(227\) −2.08874e6 3.06362e6i −0.178569 0.261913i 0.726510 0.687156i \(-0.241141\pi\)
−0.905079 + 0.425243i \(0.860189\pi\)
\(228\) −4066.55 + 3773.21i −0.000343101 + 0.000318351i
\(229\) −464763. 6.20184e6i −0.0387013 0.516433i −0.982543 0.186035i \(-0.940436\pi\)
0.943842 0.330398i \(-0.107183\pi\)
\(230\) −2.43595e6 + 6.20670e6i −0.200209 + 0.510125i
\(231\) 1.50668e6 6.60118e6i 0.122232 0.535532i
\(232\) −2.17930e6 + 672226.i −0.174523 + 0.0538333i
\(233\) −1.00553e7 + 1.47484e7i −0.794925 + 1.16594i 0.188042 + 0.982161i \(0.439786\pi\)
−0.982967 + 0.183780i \(0.941166\pi\)
\(234\) 37127.6 + 246325.i 0.00289767 + 0.0192248i
\(235\) 1.66571e7 6.53745e6i 1.28350 0.503738i
\(236\) 3.89873e6 1.87753e6i 0.296611 0.142840i
\(237\) −8.62230e6 1.79044e7i −0.647706 1.34498i
\(238\) 2.16305e6 + 5.51137e6i 0.160449 + 0.408817i
\(239\) −4.82216e6 + 726823.i −0.353222 + 0.0532396i −0.323257 0.946311i \(-0.604778\pi\)
−0.0299651 + 0.999551i \(0.509540\pi\)
\(240\) 1.04833e7 + 7.14740e6i 0.758341 + 0.517028i
\(241\) 4.42503e6 + 1.43456e7i 0.316130 + 1.02487i 0.964620 + 0.263645i \(0.0849246\pi\)
−0.648490 + 0.761223i \(0.724599\pi\)
\(242\) −2.67863e6 611381.i −0.189002 0.0431386i
\(243\) 5.62462e6 + 2.20750e6i 0.391990 + 0.153845i
\(244\) 4.84225e6 362877.i 0.333333 0.0249798i
\(245\) −6.12620e6 6.60247e6i −0.416575 0.448961i
\(246\) 4.01013e6 2.73406e6i 0.269372 0.183655i
\(247\) −2308.18 1840.71i −0.000153172 0.000122150i
\(248\) 6.25463e6 6.74089e6i 0.410059 0.441939i
\(249\) −2.98458e6 + 1.98014e7i −0.193324 + 1.28262i
\(250\) 375154. + 1.64366e6i 0.0240098 + 0.105194i
\(251\) 7.34337e6 + 1.27191e7i 0.464381 + 0.804331i 0.999173 0.0406524i \(-0.0129436\pi\)
−0.534793 + 0.844983i \(0.679610\pi\)
\(252\) −3.35954e6 1.93963e6i −0.209932 0.121204i
\(253\) 1.27303e7 + 3.92678e6i 0.786099 + 0.242479i
\(254\) −3.36790e6 + 2.68581e6i −0.205522 + 0.163898i
\(255\) 1.96584e6 2.62324e7i 0.118557 1.58204i
\(256\) −5.75403e6 2.77099e6i −0.342967 0.165164i
\(257\) 1.39702e7i 0.823009i −0.911408 0.411505i \(-0.865003\pi\)
0.911408 0.411505i \(-0.134997\pi\)
\(258\) −3.87658e6 954994.i −0.225730 0.0556085i
\(259\) −2.65284e7 −1.52690
\(260\) −3.18228e6 + 6.60807e6i −0.181058 + 0.375971i
\(261\) −1.37146e6 102777.i −0.0771370 0.00578062i
\(262\) −2.91698e6 3.65778e6i −0.162192 0.203382i
\(263\) 9.44313e6 3.06139e7i 0.519097 1.68287i −0.193337 0.981132i \(-0.561931\pi\)
0.712434 0.701739i \(-0.247593\pi\)
\(264\) −2.10997e6 + 3.65457e6i −0.114674 + 0.198621i
\(265\) −2.21337e7 + 1.27789e7i −1.18937 + 0.686682i
\(266\) −3312.10 + 755.966i −0.000175978 + 4.01659e-5i
\(267\) −1.94241e6 292771.i −0.102049 0.0153813i
\(268\) 1.11390e7 + 1.03355e7i 0.578683 + 0.536939i
\(269\) 1.03701e7 1.30038e7i 0.532756 0.668054i −0.440507 0.897749i \(-0.645201\pi\)
0.973263 + 0.229695i \(0.0737728\pi\)
\(270\) −4.06144e6 5.95704e6i −0.206342 0.302649i
\(271\) 9.97272e6 9.25333e6i 0.501079 0.464933i −0.388675 0.921375i \(-0.627067\pi\)
0.889753 + 0.456442i \(0.150876\pi\)
\(272\) 1.65659e6 + 2.21056e7i 0.0823203 + 1.09849i
\(273\) −2.76114e6 + 7.03526e6i −0.135706 + 0.345774i
\(274\) −2.17882e6 + 9.54604e6i −0.105918 + 0.464057i
\(275\) −6.93300e6 + 2.13855e6i −0.333367 + 0.102830i
\(276\) −1.57401e7 + 2.30864e7i −0.748651 + 1.09807i
\(277\) −1.09512e6 7.26563e6i −0.0515254 0.341849i −0.999709 0.0241256i \(-0.992320\pi\)
0.948184 0.317723i \(-0.102918\pi\)
\(278\) 4.21706e6 1.65507e6i 0.196280 0.0770341i
\(279\) 4.99619e6 2.40604e6i 0.230052 0.110787i
\(280\) 7.59452e6 + 1.57702e7i 0.345960 + 0.718394i
\(281\) −1.87948e6 4.78883e6i −0.0847067 0.215829i 0.882244 0.470792i \(-0.156032\pi\)
−0.966951 + 0.254963i \(0.917937\pi\)
\(282\) −5.47931e6 + 825874.i −0.244331 + 0.0368270i
\(283\) −3.13181e7 2.13523e7i −1.38177 0.942075i −0.999840 0.0178840i \(-0.994307\pi\)
−0.381930 0.924191i \(-0.624741\pi\)
\(284\) 2.86665e6 + 9.29344e6i 0.125147 + 0.405715i
\(285\) 14716.0 + 3358.82i 0.000635702 + 0.000145095i
\(286\) −1.00803e6 395623.i −0.0430899 0.0169116i
\(287\) −4.01110e7 + 3.00590e6i −1.69675 + 0.127154i
\(288\) 2.49600e6 + 2.69005e6i 0.104488 + 0.112611i
\(289\) 1.80305e7 1.22930e7i 0.746988 0.509287i
\(290\) 2.33940e6 + 1.86561e6i 0.0959203 + 0.0764939i
\(291\) −1.71535e7 + 1.84871e7i −0.696104 + 0.750222i
\(292\) 2.44511e6 1.62223e7i 0.0982087 0.651572i
\(293\) 3.69254e6 + 1.61781e7i 0.146799 + 0.643167i 0.993763 + 0.111517i \(0.0355708\pi\)
−0.846964 + 0.531650i \(0.821572\pi\)
\(294\) 1.39456e6 + 2.41544e6i 0.0548775 + 0.0950506i
\(295\) −1.01969e7 5.88719e6i −0.397194 0.229320i
\(296\) 1.57991e7 + 4.87337e6i 0.609195 + 0.187912i
\(297\) −1.12627e7 + 8.98171e6i −0.429906 + 0.342839i
\(298\) −294973. + 3.93614e6i −0.0111464 + 0.148738i
\(299\) −1.33976e7 6.45192e6i −0.501201 0.241366i
\(300\) 1.52172e7i 0.563599i
\(301\) 2.38658e7 + 2.29179e7i 0.875140 + 0.840380i
\(302\) −9.95774e6 −0.361526
\(303\) 6.25068e6 1.29797e7i 0.224698 0.466590i
\(304\) −12684.2 950.552i −0.000451485 3.38341e-5i
\(305\) −8.23791e6 1.03300e7i −0.290347 0.364084i
\(306\) 655894. 2.12636e6i 0.0228912 0.0742116i
\(307\) 8.69668e6 1.50631e7i 0.300565 0.520594i −0.675699 0.737178i \(-0.736158\pi\)
0.976264 + 0.216584i \(0.0694914\pi\)
\(308\) 1.46041e7 8.43171e6i 0.499832 0.288578i
\(309\) −3.62635e7 + 8.27691e6i −1.22912 + 0.280539i
\(310\) −1.19300e7 1.79816e6i −0.400458 0.0603593i
\(311\) 2.80235e7 + 2.60020e7i 0.931626 + 0.864423i 0.991007 0.133812i \(-0.0427220\pi\)
−0.0593803 + 0.998235i \(0.518912\pi\)
\(312\) 2.93681e6 3.68264e6i 0.0966968 0.121254i
\(313\) −1.66692e7 2.44493e7i −0.543604 0.797321i 0.451897 0.892070i \(-0.350747\pi\)
−0.995501 + 0.0947491i \(0.969795\pi\)
\(314\) 4.68942e6 4.35115e6i 0.151471 0.140545i
\(315\) 788804. + 1.05259e7i 0.0252370 + 0.336764i
\(316\) 1.80819e7 4.60720e7i 0.573038 1.46008i
\(317\) 1.05540e7 4.62400e7i 0.331313 1.45158i −0.485277 0.874360i \(-0.661281\pi\)
0.816590 0.577218i \(-0.195862\pi\)
\(318\) 7.56279e6 2.33281e6i 0.235180 0.0725434i
\(319\) 3.36784e6 4.93972e6i 0.103748 0.152170i
\(320\) 3.86785e6 + 2.56615e7i 0.118037 + 0.783127i
\(321\) −9.12045e6 + 3.57951e6i −0.275741 + 0.108220i
\(322\) −1.54170e7 + 7.42445e6i −0.461778 + 0.222381i
\(323\) 11442.3 + 23760.3i 0.000339553 + 0.000705088i
\(324\) −8.55574e6 2.17997e7i −0.251549 0.640936i
\(325\) 8.00793e6 1.20700e6i 0.233276 0.0351607i
\(326\) 1.17061e7 + 7.98108e6i 0.337877 + 0.230361i
\(327\) 5.15005e6 + 1.66961e7i 0.147288 + 0.477497i
\(328\) 2.44404e7 + 5.57837e6i 0.692608 + 0.158083i
\(329\) 4.27486e7 + 1.67776e7i 1.20042 + 0.471131i
\(330\) 5.52112e6 413751.i 0.153633 0.0115132i
\(331\) 2.82007e7 + 3.03931e7i 0.777635 + 0.838091i 0.990287 0.139037i \(-0.0444006\pi\)
−0.212652 + 0.977128i \(0.568210\pi\)
\(332\) −4.12075e7 + 2.80948e7i −1.12606 + 0.767735i
\(333\) 7.79520e6 + 6.21647e6i 0.211103 + 0.168349i
\(334\) 2.01266e6 2.16913e6i 0.0540171 0.0582166i
\(335\) 6.16232e6 4.08843e7i 0.163912 1.08748i
\(336\) 7.24578e6 + 3.17458e7i 0.191015 + 0.836891i
\(337\) 1.40326e7 + 2.43051e7i 0.366647 + 0.635051i 0.989039 0.147655i \(-0.0471724\pi\)
−0.622392 + 0.782706i \(0.713839\pi\)
\(338\) −7.72538e6 4.46025e6i −0.200064 0.115507i
\(339\) 2.25064e7 + 6.94230e6i 0.577705 + 0.178199i
\(340\) 5.12228e7 4.08488e7i 1.30325 1.03931i
\(341\) −1.80144e6 + 2.40386e7i −0.0454315 + 0.606242i
\(342\) 1150.39 + 553.997i 2.87585e−5 + 1.38494e-5i
\(343\) 2.58462e7i 0.640494i
\(344\) −1.00033e7 1.80331e7i −0.245735 0.442991i
\(345\) 7.60284e7 1.85148
\(346\) 3.44179e6 7.14696e6i 0.0830915 0.172541i
\(347\) −7.87869e7 5.90426e6i −1.88567 0.141311i −0.918497 0.395429i \(-0.870596\pi\)
−0.967173 + 0.254117i \(0.918215\pi\)
\(348\) 7.81812e6 + 9.80361e6i 0.185509 + 0.232621i
\(349\) −1.95081e7 + 6.32437e7i −0.458922 + 1.48779i 0.370323 + 0.928903i \(0.379247\pi\)
−0.829245 + 0.558885i \(0.811229\pi\)
\(350\) 4.65954e6 8.07057e6i 0.108677 0.188235i
\(351\) 1.39252e7 8.03971e6i 0.322018 0.185917i
\(352\) −1.55523e7 + 3.54970e6i −0.356587 + 0.0813887i
\(353\) −3.75454e7 5.65906e6i −0.853558 0.128653i −0.292333 0.956317i \(-0.594432\pi\)
−0.561225 + 0.827663i \(0.689670\pi\)
\(354\) 2.67280e6 + 2.48000e6i 0.0602500 + 0.0559039i
\(355\) 1.64993e7 2.06895e7i 0.368792 0.462450i
\(356\) −2.75594e6 4.04223e6i −0.0610830 0.0895923i
\(357\) 4.94891e7 4.59192e7i 1.08769 1.00923i
\(358\) 275668. + 3.67853e6i 0.00600809 + 0.0801724i
\(359\) 9.75056e6 2.48440e7i 0.210740 0.536956i −0.785947 0.618294i \(-0.787824\pi\)
0.996687 + 0.0813382i \(0.0259194\pi\)
\(360\) 1.46387e6 6.41361e6i 0.0313757 0.137466i
\(361\) 4.49558e7 1.38670e7i 0.955572 0.294755i
\(362\) 1.14837e7 1.68435e7i 0.242078 0.355064i
\(363\) 4.66935e6 + 3.09791e7i 0.0976195 + 0.647663i
\(364\) −1.75217e7 + 6.87678e6i −0.363306 + 0.142587i
\(365\) −4.02183e7 + 1.93681e7i −0.827074 + 0.398298i
\(366\) 1.77523e6 + 3.68631e6i 0.0362087 + 0.0751880i
\(367\) 8.81469e6 + 2.24595e7i 0.178324 + 0.454361i 0.991888 0.127113i \(-0.0405712\pi\)
−0.813565 + 0.581475i \(0.802476\pi\)
\(368\) −6.33523e7 + 9.54882e6i −1.27121 + 0.191605i
\(369\) 1.24907e7 + 8.51605e6i 0.248605 + 0.169496i
\(370\) −6.39392e6 2.07286e7i −0.126230 0.409227i
\(371\) −6.39466e7 1.45954e7i −1.25226 0.285821i
\(372\) −4.70644e7 1.84714e7i −0.914247 0.358815i
\(373\) −2.15981e6 + 161855.i −0.0416187 + 0.00311889i −0.0955232 0.995427i \(-0.530452\pi\)
0.0539045 + 0.998546i \(0.482833\pi\)
\(374\) 6.57942e6 + 7.09093e6i 0.125769 + 0.135547i
\(375\) 1.58836e7 1.08293e7i 0.301201 0.205355i
\(376\) −2.23769e7 1.78450e7i −0.420957 0.335702i
\(377\) −4.53896e6 + 4.89184e6i −0.0847096 + 0.0912952i
\(378\) 2.75775e6 1.82965e7i 0.0510599 0.338760i
\(379\) −796048. 3.48771e6i −0.0146225 0.0640654i 0.967090 0.254433i \(-0.0818890\pi\)
−0.981713 + 0.190368i \(0.939032\pi\)
\(380\) 18796.7 + 32556.9i 0.000342556 + 0.000593325i
\(381\) 4.25385e7 + 2.45596e7i 0.769143 + 0.444065i
\(382\) 1.94169e7 + 5.98932e6i 0.348329 + 0.107445i
\(383\) 5.47281e7 4.36442e7i 0.974124 0.776838i −0.000657134 1.00000i \(-0.500209\pi\)
0.974781 + 0.223162i \(0.0716377\pi\)
\(384\) 3.28562e6 4.38435e7i 0.0580261 0.774304i
\(385\) −4.13409e7 1.99087e7i −0.724432 0.348868i
\(386\) 1.66122e7i 0.288845i
\(387\) −1.64242e6 1.23268e7i −0.0283368 0.212676i
\(388\) −6.28103e7 −1.07531
\(389\) 4.69213e6 9.74332e6i 0.0797116 0.165523i −0.857304 0.514811i \(-0.827862\pi\)
0.937015 + 0.349288i \(0.113576\pi\)
\(390\) −6.16265e6 461827.i −0.103890 0.00778548i
\(391\) 8.28191e7 + 1.03852e8i 1.38548 + 1.73734i
\(392\) −4.24631e6 + 1.37662e7i −0.0704942 + 0.228536i
\(393\) −2.66735e7 + 4.61998e7i −0.439443 + 0.761137i
\(394\) −2.27140e7 + 1.31140e7i −0.371369 + 0.214410i
\(395\) −1.31294e8 + 2.99669e7i −2.13036 + 0.486240i
\(396\) −6.26716e6 944622.i −0.100922 0.0152115i
\(397\) −7.46139e7 6.92316e7i −1.19247 1.10645i −0.991933 0.126767i \(-0.959540\pi\)
−0.200539 0.979686i \(-0.564269\pi\)
\(398\) −4.64307e6 + 5.82222e6i −0.0736471 + 0.0923505i
\(399\) 21821.9 + 32006.8i 0.000343537 + 0.000503876i
\(400\) 2.55775e7 2.37324e7i 0.399648 0.370819i
\(401\) 3.95908e6 + 5.28303e7i 0.0613990 + 0.819313i 0.939873 + 0.341523i \(0.110943\pi\)
−0.878474 + 0.477789i \(0.841438\pi\)
\(402\) −4.67765e6 + 1.19185e7i −0.0720028 + 0.183460i
\(403\) 5.98738e6 2.62324e7i 0.0914791 0.400796i
\(404\) 3.42858e7 1.05758e7i 0.519960 0.160387i
\(405\) −3.58954e7 + 5.26488e7i −0.540348 + 0.792545i
\(406\) 1.14452e6 + 7.59337e6i 0.0171019 + 0.113464i
\(407\) −4.03461e7 + 1.58347e7i −0.598437 + 0.234869i
\(408\) −3.79089e7 + 1.82560e7i −0.558163 + 0.268797i
\(409\) 1.58660e7 + 3.29461e7i 0.231899 + 0.481542i 0.984151 0.177333i \(-0.0567469\pi\)
−0.752252 + 0.658875i \(0.771033\pi\)
\(410\) −1.20163e7 3.06172e7i −0.174350 0.444235i
\(411\) 1.10402e8 1.66405e7i 1.59020 0.239685i
\(412\) −7.65420e7 5.21855e7i −1.09448 0.746205i
\(413\) −8.90678e6 2.88751e7i −0.126436 0.409895i
\(414\) 6.26999e6 + 1.43108e6i 0.0883620 + 0.0201681i
\(415\) 1.26324e8 + 4.95785e7i 1.76743 + 0.693664i
\(416\) 1.77560e7 1.33063e6i 0.246641 0.0184832i
\(417\) −3.51354e7 3.78669e7i −0.484547 0.522218i
\(418\) −4586.02 + 3126.70i −6.27924e−5 + 4.28112e-5i
\(419\) −3.69064e7 2.94318e7i −0.501717 0.400106i 0.339665 0.940546i \(-0.389686\pi\)
−0.841382 + 0.540440i \(0.818258\pi\)
\(420\) 6.54584e7 7.05474e7i 0.883523 0.952211i
\(421\) −6.58014e6 + 4.36564e7i −0.0881838 + 0.585061i 0.900478 + 0.434902i \(0.143217\pi\)
−0.988662 + 0.150160i \(0.952021\pi\)
\(422\) 4.42113e6 + 1.93702e7i 0.0588295 + 0.257749i
\(423\) −8.62987e6 1.49474e7i −0.114021 0.197489i
\(424\) 3.54024e7 + 2.04396e7i 0.464445 + 0.268148i
\(425\) −6.91269e7 2.13228e7i −0.900493 0.277765i
\(426\) −6.40685e6 + 5.10929e6i −0.0828736 + 0.0660895i
\(427\) 2.53399e6 3.38137e7i 0.0325477 0.434319i
\(428\) −2.19853e7 1.05876e7i −0.280415 0.135041i
\(429\) 1.23478e7i 0.156393i
\(430\) −1.21552e7 + 2.41718e7i −0.152883 + 0.304021i
\(431\) −3.03555e6 −0.0379146 −0.0189573 0.999820i \(-0.506035\pi\)
−0.0189573 + 0.999820i \(0.506035\pi\)
\(432\) 3.00586e7 6.24173e7i 0.372836 0.774201i
\(433\) −8.74617e7 6.55435e6i −1.07734 0.0807358i −0.475783 0.879563i \(-0.657835\pi\)
−0.601561 + 0.798827i \(0.705454\pi\)
\(434\) −1.93050e7 2.42077e7i −0.236157 0.296132i
\(435\) 1.00568e7 3.26033e7i 0.122177 0.396089i
\(436\) −2.17579e7 + 3.76858e7i −0.262517 + 0.454693i
\(437\) −66007.6 + 38109.5i −0.000790951 + 0.000456656i
\(438\) 1.34766e7 3.07595e6i 0.160383 0.0366064i
\(439\) 1.38988e8 + 2.09490e7i 1.64279 + 0.247611i 0.904376 0.426736i \(-0.140337\pi\)
0.738415 + 0.674347i \(0.235575\pi\)
\(440\) 2.09634e7 + 1.94512e7i 0.246095 + 0.228343i
\(441\) −5.41659e6 + 6.79219e6i −0.0631553 + 0.0791943i
\(442\) −6.08225e6 8.92103e6i −0.0704365 0.103311i
\(443\) −3.75323e6 + 3.48249e6i −0.0431712 + 0.0400570i −0.701463 0.712705i \(-0.747470\pi\)
0.658292 + 0.752763i \(0.271279\pi\)
\(444\) −6.79333e6 9.06507e7i −0.0776129 1.03567i
\(445\) −4.86338e6 + 1.23917e7i −0.0551897 + 0.140621i
\(446\) −2.03975e6 + 8.93672e6i −0.0229917 + 0.100733i
\(447\) 4.30087e7 1.32664e7i 0.481542 0.148536i
\(448\) −3.75177e7 + 5.50284e7i −0.417256 + 0.612002i
\(449\) −1.05401e7 6.99289e7i −0.116441 0.772534i −0.968486 0.249066i \(-0.919876\pi\)
0.852046 0.523468i \(-0.175362\pi\)
\(450\) −3.26037e6 + 1.27960e6i −0.0357791 + 0.0140423i
\(451\) −5.92092e7 + 2.85136e7i −0.645445 + 0.310830i
\(452\) 2.54514e7 + 5.28504e7i 0.275611 + 0.572312i
\(453\) 4.14825e7 + 1.05696e8i 0.446242 + 1.13701i
\(454\) 7.69425e6 1.15972e6i 0.0822241 0.0123933i
\(455\) 4.23171e7 + 2.88513e7i 0.449244 + 0.306289i
\(456\) −7116.32 23070.5i −7.50517e−5 0.000243312i
\(457\) −1.36609e8 3.11800e7i −1.43130 0.326684i −0.564535 0.825409i \(-0.690944\pi\)
−0.866760 + 0.498725i \(0.833802\pi\)
\(458\) 1.21491e7 + 4.76816e6i 0.126458 + 0.0496311i
\(459\) −1.43232e8 + 1.07338e7i −1.48116 + 0.110998i
\(460\) 1.28793e8 + 1.38806e8i 1.32318 + 1.42605i
\(461\) 6.89782e7 4.70285e7i 0.704059 0.480019i −0.157603 0.987503i \(-0.550377\pi\)
0.861661 + 0.507484i \(0.169424\pi\)
\(462\) 1.11091e7 + 8.85918e6i 0.112655 + 0.0898396i
\(463\) 9.90848e7 1.06788e8i 0.998307 1.07592i 0.00119285 0.999999i \(-0.499620\pi\)
0.997114 0.0759196i \(-0.0241892\pi\)
\(464\) −4.28520e6 + 2.84305e7i −0.0428961 + 0.284597i
\(465\) 3.06124e7 + 1.34121e8i 0.304465 + 1.33395i
\(466\) −1.87294e7 3.24403e7i −0.185083 0.320573i
\(467\) −3.35603e7 1.93761e7i −0.329515 0.190246i 0.326111 0.945332i \(-0.394262\pi\)
−0.655626 + 0.755086i \(0.727595\pi\)
\(468\) 6.76010e6 + 2.08522e6i 0.0659502 + 0.0203429i
\(469\) 8.29600e7 6.61584e7i 0.804175 0.641308i
\(470\) −2.80621e6 + 3.74463e7i −0.0270288 + 0.360675i
\(471\) −6.57205e7 3.16493e7i −0.628981 0.302902i
\(472\) 1.88328e7i 0.179098i
\(473\) 4.99763e7 + 2.06096e7i 0.472259 + 0.194754i
\(474\) 4.17028e7 0.391589
\(475\) 18010.2 37398.6i 0.000168050 0.000348959i
\(476\) 1.67670e8 + 1.25651e7i 1.55466 + 0.116506i
\(477\) 1.53701e7 + 1.92735e7i 0.141619 + 0.177585i
\(478\) 3.01645e6 9.77909e6i 0.0276193 0.0895396i
\(479\) −1.06211e7 + 1.83963e7i −0.0966416 + 0.167388i −0.910293 0.413966i \(-0.864143\pi\)
0.813651 + 0.581354i \(0.197477\pi\)
\(480\) −7.88411e7 + 4.55189e7i −0.712900 + 0.411593i
\(481\) 4.71654e7 1.07652e7i 0.423827 0.0967358i
\(482\) −3.11525e7 4.69548e6i −0.278196 0.0419314i
\(483\) 1.43031e8 + 1.32714e8i 1.26938 + 1.17781i
\(484\) −4.86489e7 + 6.10038e7i −0.429079 + 0.538048i
\(485\) 9.62743e7 + 1.41208e8i 0.843889 + 1.23776i
\(486\) −9.29508e6 + 8.62457e6i −0.0809737 + 0.0751327i
\(487\) −1.53570e7 2.04925e8i −0.132959 1.77422i −0.521947 0.852978i \(-0.674794\pi\)
0.388987 0.921243i \(-0.372825\pi\)
\(488\) −7.72083e6 + 1.96724e7i −0.0664362 + 0.169277i
\(489\) 3.59487e7 1.57502e8i 0.307437 1.34697i
\(490\) 1.80614e7 5.57120e6i 0.153519 0.0473544i
\(491\) 9.06779e7 1.33000e8i 0.766050 1.12359i −0.222828 0.974858i \(-0.571529\pi\)
0.988878 0.148731i \(-0.0475187\pi\)
\(492\) −2.05431e7 1.36294e8i −0.172492 1.14441i
\(493\) 5.54898e7 2.17782e7i 0.463098 0.181752i
\(494\) 5581.89 2688.10i 4.63021e−5 2.22979e-5i
\(495\) 7.48249e6 + 1.55376e7i 0.0616923 + 0.128105i
\(496\) −4.23535e7 1.07915e8i −0.347091 0.884375i
\(497\) 6.71553e7 1.01220e7i 0.547030 0.0824515i
\(498\) −3.47212e7 2.36725e7i −0.281130 0.191671i
\(499\) 1.88273e6 + 6.10365e6i 0.0151526 + 0.0491234i 0.962833 0.270096i \(-0.0870555\pi\)
−0.947681 + 0.319219i \(0.896579\pi\)
\(500\) 4.66781e7 + 1.06540e7i 0.373425 + 0.0852318i
\(501\) −3.14086e7 1.23270e7i −0.249767 0.0980263i
\(502\) −3.07344e7 + 2.30323e6i −0.242948 + 0.0182065i
\(503\) −9.09023e7 9.79694e7i −0.714284 0.769815i 0.266726 0.963772i \(-0.414058\pi\)
−0.981010 + 0.193957i \(0.937868\pi\)
\(504\) 1.39495e7 9.51058e6i 0.108960 0.0742874i
\(505\) −7.63287e7 6.08701e7i −0.592671 0.472640i
\(506\) −1.90156e7 + 2.04939e7i −0.146777 + 0.158188i
\(507\) −1.51602e7 + 1.00581e8i −0.116327 + 0.771779i
\(508\) 2.72219e7 + 1.19267e8i 0.207648 + 0.909766i
\(509\) −9.39422e7 1.62713e8i −0.712373 1.23387i −0.963964 0.266033i \(-0.914287\pi\)
0.251591 0.967834i \(-0.419046\pi\)
\(510\) 4.78079e7 + 2.76019e7i 0.360404 + 0.208079i
\(511\) −1.09471e8 3.37673e7i −0.820419 0.253066i
\(512\) 1.02416e8 8.16739e7i 0.763058 0.608518i
\(513\) 6159.05 82186.8i 4.56207e−5 0.000608765i
\(514\) 2.64137e7 + 1.27202e7i 0.194509 + 0.0936707i
\(515\) 2.52069e8i 1.84543i
\(516\) −7.22017e7 + 8.74212e7i −0.525531 + 0.636308i
\(517\) 7.50292e7 0.542949
\(518\) 2.41546e7 5.01576e7i 0.173784 0.360867i
\(519\) −9.01989e7 6.75947e6i −0.645207 0.0483516i
\(520\) −1.99020e7 2.49563e7i −0.141542 0.177489i
\(521\) 5.09938e7 1.65318e8i 0.360582 1.16898i −0.575680 0.817675i \(-0.695263\pi\)
0.936262 0.351303i \(-0.114261\pi\)
\(522\) 1.44306e6 2.49946e6i 0.0101455 0.0175726i
\(523\) −8.64599e7 + 4.99177e7i −0.604380 + 0.348939i −0.770763 0.637122i \(-0.780125\pi\)
0.166383 + 0.986061i \(0.446791\pi\)
\(524\) −1.29533e8 + 2.95650e7i −0.900296 + 0.205487i
\(525\) −1.05075e8 1.58376e7i −0.726145 0.109449i
\(526\) 4.92839e7 + 4.57287e7i 0.338647 + 0.314219i
\(527\) −1.49858e8 + 1.87916e8i −1.02388 + 1.28390i
\(528\) 2.99688e7 + 4.39561e7i 0.203595 + 0.298619i
\(529\) −1.72904e8 + 1.60431e8i −1.16799 + 1.08373i
\(530\) −4.00806e6 5.34839e7i −0.0269220 0.359249i
\(531\) −4.14917e6 + 1.05719e7i −0.0277126 + 0.0706105i
\(532\) −21468.7 + 94060.3i −0.000142584 + 0.000624700i
\(533\) 7.00945e7 2.16213e7i 0.462916 0.142791i
\(534\) 2.32215e6 3.40596e6i 0.0152499 0.0223674i
\(535\) 9.89592e6 + 6.56551e7i 0.0646242 + 0.428753i
\(536\) −6.15607e7 + 2.41608e7i −0.399769 + 0.156898i
\(537\) 3.78971e7 1.82503e7i 0.244728 0.117855i
\(538\) 1.51441e7 + 3.14471e7i 0.0972518 + 0.201945i
\(539\) −1.37972e7 3.51547e7i −0.0881099 0.224500i
\(540\) −2.02465e8 + 3.05166e7i −1.28578 + 0.193801i
\(541\) 2.40003e8 + 1.63631e8i 1.51574 + 1.03341i 0.982244 + 0.187608i \(0.0600736\pi\)
0.533494 + 0.845804i \(0.320879\pi\)
\(542\) 8.41504e6 + 2.72809e7i 0.0528516 + 0.171341i
\(543\) −2.26624e8 5.17253e7i −1.41549 0.323075i
\(544\) −1.48060e8 5.81093e7i −0.919690 0.360952i
\(545\) 1.18074e8 8.84844e6i 0.729400 0.0546610i
\(546\) −1.07876e7 1.16263e7i −0.0662745 0.0714269i
\(547\) 1.08418e8 7.39184e7i 0.662431 0.451638i −0.184861 0.982765i \(-0.559184\pi\)
0.847292 + 0.531127i \(0.178231\pi\)
\(548\) 2.17403e8 + 1.73373e8i 1.32107 + 1.05352i
\(549\) −8.66825e6 + 9.34215e6i −0.0523859 + 0.0564586i
\(550\) 2.26925e6 1.50555e7i 0.0136394 0.0904913i
\(551\) 7611.24 + 33347.0i 4.54989e−5 + 0.000199344i
\(552\) −6.08028e7 1.05314e8i −0.361498 0.626134i
\(553\) −2.99311e8 1.72807e8i −1.76989 1.02185i
\(554\) 1.47343e7 + 4.54494e6i 0.0866565 + 0.0267300i
\(555\) −1.93386e8 + 1.54220e8i −1.13122 + 0.902115i
\(556\) 9.61429e6 1.28294e8i 0.0559362 0.746417i
\(557\) 3.35920e7 + 1.61771e7i 0.194389 + 0.0936126i 0.528546 0.848905i \(-0.322737\pi\)
−0.334157 + 0.942517i \(0.608452\pi\)
\(558\) 1.16371e7i 0.0669795i
\(559\) −5.17317e7 3.10615e7i −0.296157 0.177823i
\(560\) 2.20666e8 1.25653
\(561\) 4.78573e7 9.93766e7i 0.271056 0.562854i
\(562\) 1.07656e7 + 806769.i 0.0606497 + 0.00454507i
\(563\) −9.73783e7 1.22108e8i −0.545679 0.684259i 0.430160 0.902753i \(-0.358457\pi\)
−0.975838 + 0.218493i \(0.929886\pi\)
\(564\) −4.63840e7 + 1.50373e8i −0.258542 + 0.838172i
\(565\) 7.98055e7 1.38227e8i 0.442474 0.766387i
\(566\) 6.88868e7 3.97718e7i 0.379915 0.219344i
\(567\) −1.59433e8 + 3.63894e7i −0.874637 + 0.199630i
\(568\) −4.18540e7 6.30848e6i −0.228398 0.0344254i
\(569\) −2.43595e8 2.26023e8i −1.32230 1.22692i −0.954925 0.296846i \(-0.904065\pi\)
−0.367378 0.930072i \(-0.619744\pi\)
\(570\) −19749.7 + 24765.4i −0.000106644 + 0.000133727i
\(571\) 1.27313e8 + 1.86733e8i 0.683854 + 1.00303i 0.998550 + 0.0538367i \(0.0171450\pi\)
−0.314696 + 0.949193i \(0.601903\pi\)
\(572\) −2.25435e7 + 2.09173e7i −0.120457 + 0.111768i
\(573\) −1.73148e7 2.31050e8i −0.0920351 1.22812i
\(574\) 3.08385e7 7.85753e7i 0.163064 0.415480i
\(575\) 4.65239e7 2.03835e8i 0.244722 1.07220i
\(576\) 2.39193e7 7.37812e6i 0.125164 0.0386081i
\(577\) −1.95588e8 + 2.86875e8i −1.01816 + 1.49336i −0.155333 + 0.987862i \(0.549645\pi\)
−0.862825 + 0.505502i \(0.831307\pi\)
\(578\) 6.82537e6 + 4.52834e7i 0.0353462 + 0.234507i
\(579\) 1.76329e8 6.92040e7i 0.908422 0.356529i
\(580\) 7.65603e7 3.68695e7i 0.392392 0.188966i
\(581\) 1.51109e8 + 3.13780e8i 0.770480 + 1.59992i
\(582\) −1.93352e7 4.92652e7i −0.0980797 0.249903i
\(583\) −1.05966e8 + 1.59718e7i −0.534762 + 0.0806024i
\(584\) 5.89925e7 + 4.02204e7i 0.296182 + 0.201933i
\(585\) −5.67382e6 1.83941e7i −0.0283405 0.0918777i
\(586\) −3.39502e7 7.74891e6i −0.168713 0.0385077i
\(587\) 3.66541e8 + 1.43857e8i 1.81221 + 0.711239i 0.989822 + 0.142310i \(0.0454529\pi\)
0.822386 + 0.568930i \(0.192642\pi\)
\(588\) 7.89865e7 5.91922e6i 0.388527 0.0291161i
\(589\) −93806.4 101099.i −0.000459078 0.000494769i
\(590\) 2.04155e7 1.39190e7i 0.0994038 0.0677724i
\(591\) 2.33821e8 + 1.86466e8i 1.13271 + 0.903309i
\(592\) 1.41774e8 1.52796e8i 0.683329 0.736454i
\(593\) −9.74821e6 + 6.46752e7i −0.0467478 + 0.310151i 0.953221 + 0.302274i \(0.0977456\pi\)
−0.999969 + 0.00787755i \(0.997492\pi\)
\(594\) −6.72692e6 2.94726e7i −0.0320964 0.140624i
\(595\) −2.28753e8 3.96211e8i −1.08596 1.88094i
\(596\) 9.70778e7 + 5.60479e7i 0.458544 + 0.264741i
\(597\) 8.11419e7 + 2.50290e7i 0.381349 + 0.117630i
\(598\) 2.43975e7 1.94563e7i 0.114088 0.0909823i
\(599\) 9.10977e6 1.21561e8i 0.0423864 0.565608i −0.935069 0.354466i \(-0.884663\pi\)
0.977455 0.211142i \(-0.0677182\pi\)
\(600\) 5.96686e7 + 2.87349e7i 0.276244 + 0.133032i
\(601\) 3.30665e8i 1.52323i 0.648032 + 0.761613i \(0.275592\pi\)
−0.648032 + 0.761613i \(0.724408\pi\)
\(602\) −6.50615e7 + 2.42563e7i −0.298218 + 0.111182i
\(603\) −3.98804e7 −0.181889
\(604\) −1.22698e8 + 2.54785e8i −0.556834 + 1.15628i
\(605\) 2.11715e8 + 1.58659e7i 0.956061 + 0.0716469i
\(606\) 1.88495e7 + 2.36365e7i 0.0846995 + 0.106210i
\(607\) −1.62153e6 + 5.25686e6i −0.00725033 + 0.0235050i −0.959126 0.282980i \(-0.908677\pi\)
0.951875 + 0.306485i \(0.0991531\pi\)
\(608\) 45633.1 79038.8i 0.000203034 0.000351665i
\(609\) 7.58314e7 4.37813e7i 0.335736 0.193837i
\(610\) 2.70319e7 6.16984e6i 0.119093 0.0271822i
\(611\) −8.28120e7 1.24819e7i −0.363053 0.0547214i
\(612\) −4.63244e7 4.29827e7i −0.202095 0.187517i
\(613\) 1.03895e7 1.30280e7i 0.0451037 0.0565582i −0.758768 0.651361i \(-0.774198\pi\)
0.803872 + 0.594803i \(0.202770\pi\)
\(614\) 2.05615e7 + 3.01582e7i 0.0888279 + 0.130287i
\(615\) −2.74925e8 + 2.55093e8i −1.18192 + 1.09666i
\(616\) 5.48458e6 + 7.31866e7i 0.0234640 + 0.313105i
\(617\) −4.52707e6 + 1.15348e7i −0.0192736 + 0.0491082i −0.940187 0.340660i \(-0.889350\pi\)
0.920913 + 0.389768i \(0.127445\pi\)
\(618\) 1.73694e7 7.61002e7i 0.0735900 0.322419i
\(619\) 1.38826e8 4.28221e7i 0.585327 0.180549i 0.0120729 0.999927i \(-0.496157\pi\)
0.573254 + 0.819378i \(0.305681\pi\)
\(620\) −1.93009e8 + 2.83092e8i −0.809847 + 1.18783i
\(621\) −6.18710e7 4.10487e8i −0.258352 1.71406i
\(622\) −7.46783e7 + 2.93091e7i −0.310330 + 0.121795i
\(623\) −3.07801e7 + 1.48229e7i −0.127294 + 0.0613014i
\(624\) −2.57649e7 5.35013e7i −0.106041 0.220197i
\(625\) −1.08509e8 2.76475e8i −0.444451 1.13244i
\(626\) 6.14042e7 9.25520e6i 0.250308 0.0377279i
\(627\) 52292.8 + 35652.6i 0.000212148 + 0.000144640i
\(628\) −5.35487e7 1.73601e8i −0.216207 0.700926i
\(629\) −4.21317e8 9.61629e7i −1.69300 0.386417i
\(630\) −2.06196e7 8.09259e6i −0.0824628 0.0323643i
\(631\) 2.41679e7 1.81114e6i 0.0961947 0.00720880i −0.0265458 0.999648i \(-0.508451\pi\)
0.122740 + 0.992439i \(0.460832\pi\)
\(632\) 1.46510e8 + 1.57901e8i 0.580386 + 0.625507i
\(633\) 1.87186e8 1.27621e8i 0.738010 0.503167i
\(634\) 7.78170e7 + 6.20570e7i 0.305356 + 0.243513i
\(635\) 2.26408e8 2.44010e8i 0.884241 0.952985i
\(636\) 3.34989e7 2.22251e8i 0.130214 0.863916i
\(637\) 9.38003e6 + 4.10966e7i 0.0362899 + 0.158997i
\(638\) 6.27310e6 + 1.08653e7i 0.0241557 + 0.0418389i
\(639\) −2.21051e7 1.27624e7i −0.0847207 0.0489135i
\(640\) −2.84712e8 8.78221e7i −1.08609 0.335015i
\(641\) 1.17844e8 9.39777e7i 0.447440 0.356821i −0.373699 0.927550i \(-0.621911\pi\)
0.821139 + 0.570729i \(0.193339\pi\)
\(642\) 1.53652e6 2.05034e7i 0.00580673 0.0774855i
\(643\) 2.95559e8 + 1.42334e8i 1.11176 + 0.535396i 0.897338 0.441344i \(-0.145498\pi\)
0.214424 + 0.976741i \(0.431213\pi\)
\(644\) 4.85952e8i 1.81943i
\(645\) 3.07207e8 + 2.83246e7i 1.14486 + 0.105556i
\(646\) −55342.3 −0.000205286
\(647\) −3.48857e7 + 7.24410e7i −0.128806 + 0.267468i −0.955391 0.295343i \(-0.904566\pi\)
0.826585 + 0.562811i \(0.190280\pi\)
\(648\) 1.01635e8 + 7.61652e6i 0.373525 + 0.0279919i
\(649\) −3.07814e7 3.85986e7i −0.112604 0.141201i
\(650\) −5.00928e6 + 1.62397e7i −0.0182404 + 0.0591340i
\(651\) −1.76529e8 + 3.05758e8i −0.639844 + 1.10824i
\(652\) 3.48449e8 2.01177e8i 1.25718 0.725832i
\(653\) 2.13706e8 4.87770e7i 0.767498 0.175176i 0.179191 0.983814i \(-0.442652\pi\)
0.588307 + 0.808638i \(0.299795\pi\)
\(654\) −3.62567e7 5.46481e6i −0.129615 0.0195363i
\(655\) 2.65012e8 + 2.45895e8i 0.943065 + 0.875037i
\(656\) 1.97049e8 2.47091e8i 0.698011 0.875278i
\(657\) 2.42545e7 + 3.55749e7i 0.0855258 + 0.125443i
\(658\) −7.06450e7 + 6.55490e7i −0.247973 + 0.230085i
\(659\) −9.87864e6 1.31821e8i −0.0345176 0.460606i −0.987504 0.157593i \(-0.949627\pi\)
0.952987 0.303013i \(-0.0979925\pi\)
\(660\) 5.74439e7 1.46365e8i 0.199808 0.509102i
\(661\) −2.00744e7 + 8.79517e7i −0.0695086 + 0.304537i −0.997718 0.0675217i \(-0.978491\pi\)
0.928209 + 0.372059i \(0.121348\pi\)
\(662\) −8.31419e7 + 2.56459e7i −0.286580 + 0.0883983i
\(663\) −6.93538e7 + 1.01723e8i −0.237974 + 0.349044i
\(664\) −3.23506e7 2.14632e8i −0.110504 0.733146i
\(665\) 244371. 95908.4i 0.000830967 0.000326131i
\(666\) −1.88512e7 + 9.07828e6i −0.0638142 + 0.0307313i
\(667\) 7.47512e7 + 1.55222e8i 0.251907 + 0.523091i
\(668\) −3.07010e7 7.82249e7i −0.102997 0.262431i
\(669\) 1.03355e8 1.55783e7i 0.345187 0.0520286i
\(670\) 7.16895e7 + 4.88771e7i 0.238359 + 0.162510i
\(671\) −1.63294e7 5.29386e7i −0.0540508 0.175228i
\(672\) −2.27780e8 5.19893e7i −0.750599 0.171319i
\(673\) 3.74313e8 + 1.46907e8i 1.22797 + 0.481945i 0.888590 0.458703i \(-0.151686\pi\)
0.339385 + 0.940647i \(0.389781\pi\)
\(674\) −5.87310e7 + 4.40128e6i −0.191817 + 0.0143747i
\(675\) 1.53773e8 + 1.65728e8i 0.499998 + 0.538870i
\(676\) −2.09314e8 + 1.42708e8i −0.677575 + 0.461963i
\(677\) 6.42912e7 + 5.12705e7i 0.207198 + 0.165235i 0.721591 0.692320i \(-0.243411\pi\)
−0.514393 + 0.857555i \(0.671983\pi\)
\(678\) −3.36184e7 + 3.62320e7i −0.107867 + 0.116253i
\(679\) −6.53711e7 + 4.33709e8i −0.208822 + 1.38544i
\(680\) 6.34488e7 + 2.77988e8i 0.201789 + 0.884094i
\(681\) −4.43630e7 7.68389e7i −0.140469 0.243299i
\(682\) −4.38098e7 2.52936e7i −0.138108 0.0797366i
\(683\) −1.08740e8 3.35419e7i −0.341293 0.105275i 0.119370 0.992850i \(-0.461912\pi\)
−0.460664 + 0.887575i \(0.652389\pi\)
\(684\) 28349.8 22608.2i 8.85894e−5 7.06477e-5i
\(685\) 5.65422e7 7.54504e8i 0.175914 2.34741i
\(686\) −4.88678e7 2.35335e7i −0.151374 0.0728978i
\(687\) 1.48819e8i 0.458974i
\(688\) −2.59544e8 + 1.49817e7i −0.796978 + 0.0460041i
\(689\) 1.19615e8 0.365702
\(690\) −6.92253e7 + 1.43748e8i −0.210726 + 0.437576i
\(691\) −1.57976e8 1.18387e7i −0.478803 0.0358813i −0.166857 0.985981i \(-0.553362\pi\)
−0.311946 + 0.950100i \(0.600981\pi\)
\(692\) −1.40457e8 1.76128e8i −0.423863 0.531507i
\(693\) −1.30454e7 + 4.22920e7i −0.0391973 + 0.127074i
\(694\) 8.29002e7 1.43587e8i 0.248015 0.429574i
\(695\) −3.03163e8 + 1.75031e8i −0.903072 + 0.521389i
\(696\) −5.32044e7 + 1.21436e7i −0.157805 + 0.0360179i
\(697\) −6.47929e8 9.76596e7i −1.91350 0.288414i
\(698\) −1.01813e8 9.44688e7i −0.299390 0.277793i
\(699\) −2.66311e8 + 3.33944e8i −0.779755 + 0.977782i
\(700\) −1.49084e8 2.18666e8i −0.434648 0.637511i
\(701\) −5.24798e7 + 4.86942e7i −0.152349 + 0.141359i −0.752665 0.658404i \(-0.771232\pi\)
0.600316 + 0.799763i \(0.295041\pi\)
\(702\) 2.52163e6 + 3.36488e7i 0.00728904 + 0.0972655i
\(703\) 90593.6 230829.i 0.000260754 0.000664391i
\(704\) −2.42132e7 + 1.06085e8i −0.0693959 + 0.304043i
\(705\) 4.09162e8 1.26210e8i 1.16769 0.360185i
\(706\) 4.48855e7 6.58349e7i 0.127553 0.187086i
\(707\) −3.73427e7 2.47753e8i −0.105669 0.701068i
\(708\) 9.63886e7 3.78298e7i 0.271598 0.106594i
\(709\) −4.76132e8 + 2.29293e8i −1.33595 + 0.643358i −0.959139 0.282934i \(-0.908692\pi\)
−0.376807 + 0.926292i \(0.622978\pi\)
\(710\) 2.40949e7 + 5.00337e7i 0.0673211 + 0.139794i
\(711\) 4.74563e7 + 1.20917e8i 0.132034 + 0.336416i
\(712\) 2.10542e7 3.17342e6i 0.0583310 0.00879199i
\(713\) −5.73956e8 3.91317e8i −1.58347 1.07959i
\(714\) 4.17592e7 + 1.35380e8i 0.114725 + 0.371929i
\(715\) 8.15798e7 + 1.86201e7i 0.223185 + 0.0509405i
\(716\) 9.75178e7 + 3.82729e7i 0.265671 + 0.104268i
\(717\) −1.16366e8 + 8.72040e6i −0.315695 + 0.0236580i
\(718\) 3.80948e7 + 4.10564e7i 0.102918 + 0.110920i
\(719\) 2.52806e8 1.72360e8i 0.680143 0.463713i −0.173321 0.984865i \(-0.555450\pi\)
0.853464 + 0.521152i \(0.174498\pi\)
\(720\) −6.48413e7 5.17092e7i −0.173722 0.138538i
\(721\) −4.40007e8 + 4.74214e8i −1.17396 + 1.26523i
\(722\) −1.47145e7 + 9.76246e7i −0.0390962 + 0.259387i
\(723\) 7.99369e7 + 3.50227e8i 0.211511 + 0.926690i
\(724\) −2.89467e8 5.01372e8i −0.762752 1.32113i
\(725\) −8.12564e7 4.69134e7i −0.213228 0.123107i
\(726\) −6.28241e7 1.93787e7i −0.164179 0.0506424i
\(727\) 8.10385e7 6.46260e7i 0.210906 0.168192i −0.512340 0.858783i \(-0.671221\pi\)
0.723245 + 0.690591i \(0.242650\pi\)
\(728\) 6.12187e6 8.16907e7i 0.0158668 0.211728i
\(729\) 3.88361e8 + 1.87025e8i 1.00243 + 0.482744i
\(730\) 9.36761e7i 0.240802i
\(731\) 2.95956e8 + 4.50488e8i 0.757661 + 1.15327i
\(732\) 1.16194e8 0.296245
\(733\) 6.31214e7 1.31073e8i 0.160275 0.332814i −0.805331 0.592826i \(-0.798012\pi\)
0.965605 + 0.260012i \(0.0837266\pi\)
\(734\) −5.04903e7 3.78373e6i −0.127679 0.00956823i
\(735\) −1.34376e8 1.68503e8i −0.338424 0.424370i
\(736\) 1.35497e8 4.39272e8i 0.339858 1.10179i
\(737\) 8.66813e7 1.50136e8i 0.216532 0.375045i
\(738\) −2.74745e7 + 1.58624e7i −0.0683534 + 0.0394638i
\(739\) −4.97502e8 + 1.13552e8i −1.23271 + 0.281358i −0.788765 0.614695i \(-0.789279\pi\)
−0.443947 + 0.896053i \(0.646422\pi\)
\(740\) −6.09158e8 9.18158e7i −1.50326 0.226580i
\(741\) −51786.0 48050.4i −0.000127279 0.000118098i
\(742\) 8.58203e7 1.07615e8i 0.210077 0.263428i
\(743\) 2.39706e8 + 3.51584e8i 0.584403 + 0.857162i 0.998593 0.0530287i \(-0.0168875\pi\)
−0.414190 + 0.910190i \(0.635935\pi\)
\(744\) 1.61302e8 1.49666e8i 0.391670 0.363416i
\(745\) −2.27934e7 3.04157e8i −0.0551240 0.735578i
\(746\) 1.66052e6 4.23094e6i 0.00399971 0.0101911i
\(747\) 2.91266e7 1.27612e8i 0.0698761 0.306147i
\(748\) 2.62503e8 8.09716e7i 0.627235 0.193476i
\(749\) −9.59894e7 + 1.40791e8i −0.228443 + 0.335064i
\(750\) 6.01270e6 + 3.98916e7i 0.0142523 + 0.0945579i
\(751\) −5.30000e8 + 2.08010e8i −1.25128 + 0.491093i −0.896162 0.443727i \(-0.853656\pi\)
−0.355123 + 0.934820i \(0.615561\pi\)
\(752\) −3.25091e8 + 1.56556e8i −0.764455