Properties

Label 43.7.h.a.12.11
Level $43$
Weight $7$
Character 43.12
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 12.11
Character \(\chi\) \(=\) 43.12
Dual form 43.7.h.a.18.11

$q$-expansion

\(f(q)\) \(=\) \(q+(0.758988 + 1.57606i) q^{2} +(6.18403 + 9.07030i) q^{3} +(37.9955 - 47.6448i) q^{4} +(-99.6397 + 107.386i) q^{5} +(-9.60169 + 16.6306i) q^{6} +(-494.102 + 285.270i) q^{7} +(213.077 + 48.6333i) q^{8} +(222.305 - 566.425i) q^{9} +O(q^{10})\) \(q+(0.758988 + 1.57606i) q^{2} +(6.18403 + 9.07030i) q^{3} +(37.9955 - 47.6448i) q^{4} +(-99.6397 + 107.386i) q^{5} +(-9.60169 + 16.6306i) q^{6} +(-494.102 + 285.270i) q^{7} +(213.077 + 48.6333i) q^{8} +(222.305 - 566.425i) q^{9} +(-244.872 - 75.5329i) q^{10} +(1481.81 + 1858.14i) q^{11} +(667.118 + 49.9936i) q^{12} +(-3550.76 + 1095.26i) q^{13} +(-824.619 - 562.216i) q^{14} +(-1590.20 - 239.684i) q^{15} +(-782.793 - 3429.64i) q^{16} +(-5513.15 + 5115.45i) q^{17} +(1061.44 - 79.5443i) q^{18} +(-789.362 + 309.802i) q^{19} +(1330.53 + 8827.49i) q^{20} +(-5643.02 - 2717.54i) q^{21} +(-1803.85 + 3745.72i) q^{22} +(789.621 - 119.016i) q^{23} +(876.552 + 2233.42i) q^{24} +(-436.036 - 5818.50i) q^{25} +(-4421.18 - 4764.90i) q^{26} +(14314.6 - 3267.21i) q^{27} +(-5182.00 + 34380.3i) q^{28} +(10248.1 - 15031.2i) q^{29} +(-829.187 - 2688.16i) q^{30} +(11.1854 - 149.259i) q^{31} +(15747.1 - 12557.9i) q^{32} +(-7690.27 + 24931.3i) q^{33} +(-12246.7 - 4806.46i) q^{34} +(18598.1 - 81483.8i) q^{35} +(-18540.6 - 32113.3i) q^{36} +(45473.4 + 26254.1i) q^{37} +(-1087.38 - 1008.94i) q^{38} +(-31892.4 - 25433.3i) q^{39} +(-26453.4 + 18035.6i) q^{40} +(-35500.2 + 17096.0i) q^{41} -10956.3i q^{42} +(68072.6 + 41079.0i) q^{43} +144833. q^{44} +(38675.7 + 80310.9i) q^{45} +(786.889 + 1154.15i) q^{46} +(89983.6 - 112836. i) q^{47} +(26267.1 - 28309.2i) q^{48} +(103933. - 180018. i) q^{49} +(8839.33 - 5103.39i) q^{50} +(-80492.1 - 18371.8i) q^{51} +(-82729.1 + 210790. i) q^{52} +(-121310. - 37419.2i) q^{53} +(16013.9 + 20080.8i) q^{54} +(-347185. - 26017.9i) q^{55} +(-119155. + 36754.5i) q^{56} +(-7691.43 - 5243.93i) q^{57} +(31468.3 + 4743.08i) q^{58} +(12083.6 + 52941.8i) q^{59} +(-71840.0 + 66657.8i) q^{60} +(101377. - 7597.12i) q^{61} +(243.731 - 95.6572i) q^{62} +(51742.4 + 343289. i) q^{63} +(-171102. - 82398.3i) q^{64} +(236180. - 490434. i) q^{65} +(-45129.9 + 6802.23i) q^{66} +(-22363.1 - 56980.2i) q^{67} +(34250.2 + 457037. i) q^{68} +(5962.55 + 6426.10i) q^{69} +(142539. - 32533.6i) q^{70} +(-59533.0 + 394976. i) q^{71} +(74915.2 - 109880. i) q^{72} +(167440. + 542828. i) q^{73} +(-6864.11 + 91595.2i) q^{74} +(50079.1 - 39936.7i) q^{75} +(-15231.7 + 49380.0i) q^{76} +(-1.26224e6 - 495391. i) q^{77} +(15878.4 - 69567.8i) q^{78} +(17136.9 + 29682.0i) q^{79} +(446293. + 257667. i) q^{80} +(-207016. - 192083. i) q^{81} +(-53888.5 - 42974.7i) q^{82} +(-161295. + 109969. i) q^{83} +(-343886. + 165607. i) q^{84} -1.10174e6i q^{85} +(-13076.4 + 138465. i) q^{86} +199713. q^{87} +(225372. + 467991. i) q^{88} +(109403. + 160464. i) q^{89} +(-97220.0 + 121910. i) q^{90} +(1.44199e6 - 1.55410e6i) q^{91} +(24331.5 - 42143.4i) q^{92} +(1423.00 - 821.569i) q^{93} +(246132. + 56178.1i) q^{94} +(45383.4 - 115635. i) q^{95} +(211285. + 65172.7i) q^{96} +(-102542. - 128584. i) q^{97} +(362602. + 27173.3i) q^{98} +(1.38191e6 - 426263. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 252 q - 14 q^{2} - 11 q^{3} + 1180 q^{4} - 11 q^{5} - 118 q^{6} + 126 q^{7} - 2254 q^{8} - 8178 q^{9} + 967 q^{10} + 4090 q^{11} - 484 q^{12} + 1527 q^{13} + 7812 q^{14} - 8923 q^{15} - 13760 q^{16} - 3655 q^{17} + 5596 q^{18} + 38605 q^{19} + 26085 q^{20} + 24873 q^{21} - 25214 q^{22} + 27991 q^{23} - 20480 q^{24} - 24146 q^{25} - 34923 q^{26} - 14 q^{27} - 77634 q^{28} - 112735 q^{29} + 375072 q^{30} + 290647 q^{31} - 344064 q^{32} - 152174 q^{33} - 198311 q^{34} - 182471 q^{35} - 930891 q^{36} + 282762 q^{37} + 487342 q^{38} + 857290 q^{39} + 745459 q^{40} + 27674 q^{41} + 148802 q^{43} - 1255832 q^{44} - 191310 q^{45} - 1344785 q^{46} + 69166 q^{47} - 871241 q^{48} + 1786604 q^{49} + 837705 q^{50} - 182756 q^{51} + 2906416 q^{52} + 7779 q^{53} + 487154 q^{54} - 529592 q^{55} - 2464007 q^{56} - 767855 q^{57} - 1523780 q^{58} + 1531338 q^{59} - 1858647 q^{60} + 646957 q^{61} - 448559 q^{62} - 2007847 q^{63} + 3937366 q^{64} - 1473542 q^{65} + 1513319 q^{66} - 575523 q^{67} + 2717157 q^{68} + 967041 q^{69} + 4624473 q^{70} - 2149319 q^{71} - 9986371 q^{72} - 514565 q^{73} - 882972 q^{74} - 6655138 q^{75} + 1152658 q^{76} - 341803 q^{77} + 6322388 q^{78} - 2476742 q^{79} + 10750038 q^{80} + 4308941 q^{81} + 5079172 q^{82} + 2318609 q^{83} + 5578407 q^{84} + 585292 q^{86} - 1990710 q^{87} - 2864890 q^{88} - 4561993 q^{89} - 17681545 q^{90} - 4648506 q^{91} - 1991714 q^{92} - 8868294 q^{93} - 10200218 q^{94} + 10091737 q^{95} + 6250318 q^{96} - 1676750 q^{97} + 7512700 q^{98} + 18452884 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.758988 + 1.57606i 0.0948735 + 0.197007i 0.943005 0.332779i \(-0.107986\pi\)
−0.848131 + 0.529786i \(0.822272\pi\)
\(3\) 6.18403 + 9.07030i 0.229038 + 0.335937i 0.923504 0.383588i \(-0.125312\pi\)
−0.694466 + 0.719525i \(0.744359\pi\)
\(4\) 37.9955 47.6448i 0.593679 0.744450i
\(5\) −99.6397 + 107.386i −0.797117 + 0.859088i −0.992576 0.121624i \(-0.961190\pi\)
0.195459 + 0.980712i \(0.437380\pi\)
\(6\) −9.60169 + 16.6306i −0.0444523 + 0.0769936i
\(7\) −494.102 + 285.270i −1.44053 + 0.831691i −0.997885 0.0650062i \(-0.979293\pi\)
−0.442645 + 0.896697i \(0.645960\pi\)
\(8\) 213.077 + 48.6333i 0.416165 + 0.0949870i
\(9\) 222.305 566.425i 0.304946 0.776989i
\(10\) −244.872 75.5329i −0.244872 0.0755329i
\(11\) 1481.81 + 1858.14i 1.11331 + 1.39604i 0.908827 + 0.417174i \(0.136979\pi\)
0.204482 + 0.978870i \(0.434449\pi\)
\(12\) 667.118 + 49.9936i 0.386063 + 0.0289315i
\(13\) −3550.76 + 1095.26i −1.61619 + 0.498527i −0.965409 0.260741i \(-0.916033\pi\)
−0.650777 + 0.759269i \(0.725557\pi\)
\(14\) −824.619 562.216i −0.300517 0.204889i
\(15\) −1590.20 239.684i −0.471170 0.0710174i
\(16\) −782.793 3429.64i −0.191112 0.837315i
\(17\) −5513.15 + 5115.45i −1.12215 + 1.04121i −0.123348 + 0.992363i \(0.539363\pi\)
−0.998806 + 0.0488442i \(0.984446\pi\)
\(18\) 1061.44 79.5443i 0.182004 0.0136393i
\(19\) −789.362 + 309.802i −0.115084 + 0.0451672i −0.422184 0.906510i \(-0.638737\pi\)
0.307100 + 0.951677i \(0.400641\pi\)
\(20\) 1330.53 + 8827.49i 0.166316 + 1.10344i
\(21\) −5643.02 2717.54i −0.609332 0.293439i
\(22\) −1803.85 + 3745.72i −0.169407 + 0.351777i
\(23\) 789.621 119.016i 0.0648986 0.00978189i −0.116513 0.993189i \(-0.537172\pi\)
0.181411 + 0.983407i \(0.441933\pi\)
\(24\) 876.552 + 2233.42i 0.0634080 + 0.161561i
\(25\) −436.036 5818.50i −0.0279063 0.372384i
\(26\) −4421.18 4764.90i −0.251547 0.271103i
\(27\) 14314.6 3267.21i 0.727256 0.165991i
\(28\) −5182.00 + 34380.3i −0.236061 + 1.56616i
\(29\) 10248.1 15031.2i 0.420195 0.616312i −0.556525 0.830831i \(-0.687866\pi\)
0.976720 + 0.214518i \(0.0688181\pi\)
\(30\) −829.187 2688.16i −0.0307106 0.0995614i
\(31\) 11.1854 149.259i 0.000375464 0.00501022i −0.997013 0.0772350i \(-0.975391\pi\)
0.997388 + 0.0722247i \(0.0230099\pi\)
\(32\) 15747.1 12557.9i 0.480564 0.383237i
\(33\) −7690.27 + 24931.3i −0.213993 + 0.693749i
\(34\) −12246.7 4806.46i −0.311588 0.122289i
\(35\) 18598.1 81483.8i 0.433776 1.90050i
\(36\) −18540.6 32113.3i −0.397390 0.688299i
\(37\) 45473.4 + 26254.1i 0.897744 + 0.518313i 0.876468 0.481461i \(-0.159894\pi\)
0.0212764 + 0.999774i \(0.493227\pi\)
\(38\) −1087.38 1008.94i −0.0198167 0.0183872i
\(39\) −31892.4 25433.3i −0.537642 0.428755i
\(40\) −26453.4 + 18035.6i −0.413335 + 0.281807i
\(41\) −35500.2 + 17096.0i −0.515086 + 0.248052i −0.673322 0.739349i \(-0.735133\pi\)
0.158237 + 0.987401i \(0.449419\pi\)
\(42\) 10956.3i 0.147882i
\(43\) 68072.6 + 41079.0i 0.856184 + 0.516671i
\(44\) 144833. 1.70023
\(45\) 38675.7 + 80310.9i 0.424424 + 0.881327i
\(46\) 786.889 + 1154.15i 0.00808426 + 0.0118574i
\(47\) 89983.6 112836.i 0.866702 1.08681i −0.128762 0.991675i \(-0.541100\pi\)
0.995464 0.0951345i \(-0.0303281\pi\)
\(48\) 26267.1 28309.2i 0.237513 0.255978i
\(49\) 103933. 180018.i 0.883418 1.53013i
\(50\) 8839.33 5103.39i 0.0707147 0.0408271i
\(51\) −80492.1 18371.8i −0.606796 0.138497i
\(52\) −82729.1 + 210790.i −0.588367 + 1.49914i
\(53\) −121310. 37419.2i −0.814834 0.251343i −0.140795 0.990039i \(-0.544966\pi\)
−0.674039 + 0.738696i \(0.735442\pi\)
\(54\) 16013.9 + 20080.8i 0.101699 + 0.127526i
\(55\) −347185. 26017.9i −2.08676 0.156381i
\(56\) −119155. + 36754.5i −0.678498 + 0.209289i
\(57\) −7691.43 5243.93i −0.0415320 0.0283160i
\(58\) 31468.3 + 4743.08i 0.161283 + 0.0243095i
\(59\) 12083.6 + 52941.8i 0.0588357 + 0.257776i 0.995789 0.0916797i \(-0.0292236\pi\)
−0.936953 + 0.349456i \(0.886366\pi\)
\(60\) −71840.0 + 66657.8i −0.332592 + 0.308601i
\(61\) 101377. 7597.12i 0.446630 0.0334703i 0.150483 0.988613i \(-0.451917\pi\)
0.296147 + 0.955142i \(0.404298\pi\)
\(62\) 243.731 95.6572i 0.00102267 0.000401368i
\(63\) 51742.4 + 343289.i 0.206931 + 1.37290i
\(64\) −171102. 82398.3i −0.652702 0.314325i
\(65\) 236180. 490434.i 0.860011 1.78583i
\(66\) −45129.9 + 6802.23i −0.156976 + 0.0236603i
\(67\) −22363.1 56980.2i −0.0743545 0.189452i 0.888864 0.458171i \(-0.151495\pi\)
−0.963219 + 0.268718i \(0.913400\pi\)
\(68\) 34250.2 + 457037.i 0.108927 + 1.45353i
\(69\) 5962.55 + 6426.10i 0.0181503 + 0.0195614i
\(70\) 142539. 32533.6i 0.415565 0.0948500i
\(71\) −59533.0 + 394976.i −0.166335 + 1.10356i 0.737397 + 0.675460i \(0.236055\pi\)
−0.903732 + 0.428099i \(0.859183\pi\)
\(72\) 74915.2 109880.i 0.200712 0.294390i
\(73\) 167440. + 542828.i 0.430419 + 1.39538i 0.868161 + 0.496283i \(0.165302\pi\)
−0.437741 + 0.899101i \(0.644221\pi\)
\(74\) −6864.11 + 91595.2i −0.0169391 + 0.226036i
\(75\) 50079.1 39936.7i 0.118706 0.0946649i
\(76\) −15231.7 + 49380.0i −0.0346983 + 0.112489i
\(77\) −1.26224e6 495391.i −2.76483 1.08512i
\(78\) 15878.4 69567.8i 0.0334597 0.146597i
\(79\) 17136.9 + 29682.0i 0.0347577 + 0.0602021i 0.882881 0.469597i \(-0.155601\pi\)
−0.848123 + 0.529799i \(0.822267\pi\)
\(80\) 446293. + 257667.i 0.871665 + 0.503256i
\(81\) −207016. 192083.i −0.389538 0.361438i
\(82\) −53888.5 42974.7i −0.0977361 0.0779419i
\(83\) −161295. + 109969.i −0.282089 + 0.192325i −0.696096 0.717949i \(-0.745081\pi\)
0.414007 + 0.910274i \(0.364129\pi\)
\(84\) −343886. + 165607.i −0.580198 + 0.279409i
\(85\) 1.10174e6i 1.79399i
\(86\) −13076.4 + 138465.i −0.0205586 + 0.217693i
\(87\) 199713. 0.303283
\(88\) 225372. + 467991.i 0.330714 + 0.686735i
\(89\) 109403. + 160464.i 0.155188 + 0.227619i 0.895957 0.444141i \(-0.146491\pi\)
−0.740769 + 0.671760i \(0.765539\pi\)
\(90\) −97220.0 + 121910.i −0.133361 + 0.167229i
\(91\) 1.44199e6 1.55410e6i 1.91354 2.06231i
\(92\) 24331.5 42143.4i 0.0312468 0.0541210i
\(93\) 1423.00 821.569i 0.00176911 0.00102140i
\(94\) 246132. + 56178.1i 0.296336 + 0.0676368i
\(95\) 45383.4 115635.i 0.0529329 0.134871i
\(96\) 211285. + 65172.7i 0.238811 + 0.0736634i
\(97\) −102542. 128584.i −0.112354 0.140887i 0.722475 0.691398i \(-0.243005\pi\)
−0.834828 + 0.550510i \(0.814433\pi\)
\(98\) 362602. + 27173.3i 0.385258 + 0.0288711i
\(99\) 1.38191e6 426263.i 1.42421 0.439311i
\(100\) −293789. 200302.i −0.293789 0.200302i
\(101\) 482282. + 72692.4i 0.468099 + 0.0705545i 0.378856 0.925455i \(-0.376317\pi\)
0.0892422 + 0.996010i \(0.471555\pi\)
\(102\) −32137.6 140804.i −0.0302840 0.132683i
\(103\) −1.16271e6 + 1.07884e6i −1.06404 + 0.987289i −0.999943 0.0106540i \(-0.996609\pi\)
−0.0641016 + 0.997943i \(0.520418\pi\)
\(104\) −809850. + 60689.9i −0.719954 + 0.0539531i
\(105\) 854094. 335207.i 0.737799 0.289565i
\(106\) −33098.2 219592.i −0.0277899 0.184374i
\(107\) −369166. 177781.i −0.301350 0.145122i 0.277098 0.960842i \(-0.410627\pi\)
−0.578448 + 0.815719i \(0.696341\pi\)
\(108\) 388223. 806154.i 0.308184 0.639951i
\(109\) −1.29156e6 + 194672.i −0.997324 + 0.150322i −0.627365 0.778725i \(-0.715867\pi\)
−0.369959 + 0.929048i \(0.620628\pi\)
\(110\) −222504. 566930.i −0.167170 0.425943i
\(111\) 43076.3 + 574814.i 0.0314970 + 0.420299i
\(112\) 1.36515e6 + 1.47128e6i 0.971689 + 1.04723i
\(113\) 589818. 134622.i 0.408773 0.0932999i −0.0131894 0.999913i \(-0.504198\pi\)
0.421963 + 0.906613i \(0.361341\pi\)
\(114\) 2427.02 16102.2i 0.00163817 0.0108685i
\(115\) −65896.9 + 96653.0i −0.0433283 + 0.0635509i
\(116\) −326778. 1.05939e6i −0.209353 0.678706i
\(117\) −168968. + 2.25472e6i −0.105499 + 1.40778i
\(118\) −74267.9 + 59226.7i −0.0452018 + 0.0360472i
\(119\) 1.26477e6 4.10029e6i 0.750536 2.43318i
\(120\) −327177. 128408.i −0.189339 0.0743100i
\(121\) −862686. + 3.77968e6i −0.486964 + 2.13353i
\(122\) 88917.1 + 154009.i 0.0489673 + 0.0848138i
\(123\) −374600. 216276.i −0.201304 0.116223i
\(124\) −6686.44 6204.11i −0.00350695 0.00325397i
\(125\) −1.12129e6 894197.i −0.574099 0.457829i
\(126\) −501770. + 342101.i −0.250838 + 0.171018i
\(127\) −2.95585e6 + 1.42346e6i −1.44301 + 0.694919i −0.981367 0.192145i \(-0.938456\pi\)
−0.461647 + 0.887064i \(0.652741\pi\)
\(128\) 1.62125e6i 0.773072i
\(129\) 48364.3 + 871473.i 0.0225297 + 0.405961i
\(130\) 952209. 0.433413
\(131\) 180365. + 374531.i 0.0802301 + 0.166600i 0.937225 0.348726i \(-0.113385\pi\)
−0.856995 + 0.515325i \(0.827671\pi\)
\(132\) 895649. + 1.31368e6i 0.389418 + 0.571171i
\(133\) 301648. 378255.i 0.128217 0.160779i
\(134\) 72830.7 78492.8i 0.0302691 0.0326224i
\(135\) −1.07545e6 + 1.86273e6i −0.437107 + 0.757091i
\(136\) −1.42350e6 + 821860.i −0.565903 + 0.326724i
\(137\) 4.12039e6 + 940452.i 1.60242 + 0.365742i 0.927993 0.372598i \(-0.121533\pi\)
0.674428 + 0.738340i \(0.264390\pi\)
\(138\) −5602.39 + 14274.6i −0.00213175 + 0.00543160i
\(139\) 1.45741e6 + 449553.i 0.542674 + 0.167393i 0.553959 0.832544i \(-0.313116\pi\)
−0.0112858 + 0.999936i \(0.503592\pi\)
\(140\) −3.17563e6 3.98212e6i −1.15730 1.45121i
\(141\) 1.57992e6 + 118398.i 0.563608 + 0.0422365i
\(142\) −667689. + 205955.i −0.233190 + 0.0719294i
\(143\) −7.29672e6 4.97482e6i −2.49528 1.70125i
\(144\) −2.11665e6 319034.i −0.708863 0.106844i
\(145\) 593025. + 2.59821e6i 0.194522 + 0.852257i
\(146\) −728442. + 675896.i −0.234065 + 0.217181i
\(147\) 2.27554e6 170528.i 0.716362 0.0536839i
\(148\) 2.97865e6 1.16904e6i 0.918830 0.360614i
\(149\) 555868. + 3.68794e6i 0.168040 + 1.11487i 0.900752 + 0.434334i \(0.143016\pi\)
−0.732712 + 0.680539i \(0.761746\pi\)
\(150\) 100952. + 48615.9i 0.0299117 + 0.0144047i
\(151\) −843170. + 1.75086e6i −0.244897 + 0.508535i −0.986794 0.161979i \(-0.948212\pi\)
0.741897 + 0.670514i \(0.233926\pi\)
\(152\) −183261. + 27622.2i −0.0521843 + 0.00786551i
\(153\) 1.67192e6 + 4.25998e6i 0.466811 + 1.18941i
\(154\) −177259. 2.36535e6i −0.0485339 0.647640i
\(155\) 14913.9 + 16073.3i 0.00400493 + 0.00431629i
\(156\) −2.42353e6 + 553155.i −0.638374 + 0.145705i
\(157\) 424557. 2.81675e6i 0.109708 0.727862i −0.864570 0.502512i \(-0.832409\pi\)
0.974278 0.225350i \(-0.0723526\pi\)
\(158\) −33773.7 + 49537.0i −0.00856264 + 0.0125591i
\(159\) −410781. 1.33172e6i −0.102193 0.331300i
\(160\) −220494. + 2.94229e6i −0.0538315 + 0.718332i
\(161\) −356201. + 284061.i −0.0853529 + 0.0680666i
\(162\) 145611. 472058.i 0.0342490 0.111033i
\(163\) −186137. 73053.5i −0.0429804 0.0168686i 0.343753 0.939060i \(-0.388302\pi\)
−0.386734 + 0.922191i \(0.626397\pi\)
\(164\) −534312. + 2.34097e6i −0.121133 + 0.530719i
\(165\) −1.91101e6 3.30997e6i −0.425414 0.736838i
\(166\) −295738. 170744.i −0.0646521 0.0373269i
\(167\) 934292. + 866896.i 0.200601 + 0.186131i 0.774076 0.633092i \(-0.218215\pi\)
−0.573475 + 0.819223i \(0.694405\pi\)
\(168\) −1.07023e6 853482.i −0.225710 0.179998i
\(169\) 7.42020e6 5.05901e6i 1.53729 1.04811i
\(170\) 1.73640e6 836205.i 0.353429 0.170203i
\(171\) 515985.i 0.103193i
\(172\) 4.54365e6 1.68249e6i 0.892934 0.330649i
\(173\) −364361. −0.0703710 −0.0351855 0.999381i \(-0.511202\pi\)
−0.0351855 + 0.999381i \(0.511202\pi\)
\(174\) 151580. + 314758.i 0.0287735 + 0.0597488i
\(175\) 1.87529e6 + 2.75054e6i 0.349908 + 0.513221i
\(176\) 5.21278e6 6.53662e6i 0.956163 1.19899i
\(177\) −405473. + 436996.i −0.0731210 + 0.0788057i
\(178\) −169865. + 294215.i −0.0301193 + 0.0521681i
\(179\) 6.34858e6 3.66535e6i 1.10692 0.639082i 0.168892 0.985635i \(-0.445981\pi\)
0.938031 + 0.346552i \(0.112648\pi\)
\(180\) 5.29590e6 + 1.20875e6i 0.908075 + 0.207262i
\(181\) −702441. + 1.78979e6i −0.118461 + 0.301833i −0.977789 0.209591i \(-0.932787\pi\)
0.859328 + 0.511424i \(0.170882\pi\)
\(182\) 3.54380e6 + 1.09312e6i 0.587834 + 0.181323i
\(183\) 695824. + 872535.i 0.113539 + 0.142374i
\(184\) 174038. + 13042.3i 0.0279377 + 0.00209364i
\(185\) −7.35028e6 + 2.26726e6i −1.16088 + 0.358085i
\(186\) 2374.88 + 1619.16i 0.000369065 + 0.000251624i
\(187\) −1.76747e7 2.66403e6i −2.70288 0.407393i
\(188\) −1.95707e6 8.57450e6i −0.294533 1.29043i
\(189\) −6.14082e6 + 5.69785e6i −0.909580 + 0.843967i
\(190\) 216692. 16238.9i 0.0315924 0.00236753i
\(191\) −3.19708e6 + 1.25476e6i −0.458831 + 0.180078i −0.583488 0.812122i \(-0.698312\pi\)
0.124656 + 0.992200i \(0.460217\pi\)
\(192\) −310721. 2.06150e6i −0.0439003 0.291259i
\(193\) 1.18939e7 + 5.72778e6i 1.65444 + 0.796736i 0.999144 + 0.0413627i \(0.0131699\pi\)
0.655295 + 0.755373i \(0.272544\pi\)
\(194\) 124827. 259206.i 0.0170964 0.0355010i
\(195\) 5.90893e6 890628.i 0.796902 0.120114i
\(196\) −4.62792e6 1.17917e7i −0.614635 1.56606i
\(197\) −420040. 5.60504e6i −0.0549404 0.733129i −0.954857 0.297066i \(-0.903992\pi\)
0.899916 0.436062i \(-0.143627\pi\)
\(198\) 1.72067e6 + 1.85444e6i 0.221667 + 0.238900i
\(199\) 9.92455e6 2.26521e6i 1.25936 0.287442i 0.459800 0.888022i \(-0.347921\pi\)
0.799564 + 0.600581i \(0.205064\pi\)
\(200\) 190064. 1.26099e6i 0.0237580 0.157624i
\(201\) 378534. 555207.i 0.0466140 0.0683702i
\(202\) 251480. + 815277.i 0.0305104 + 0.0989124i
\(203\) −775659. + 1.03504e7i −0.0927220 + 1.23729i
\(204\) −3.93366e6 + 3.13699e6i −0.463347 + 0.369507i
\(205\) 1.70136e6 5.51567e6i 0.197485 0.640231i
\(206\) −2.58279e6 1.01367e6i −0.295453 0.115957i
\(207\) 108123. 473719.i 0.0121901 0.0534084i
\(208\) 6.53588e6 + 1.13205e7i 0.726296 + 1.25798i
\(209\) −1.74534e6 1.00767e6i −0.191179 0.110377i
\(210\) 1.17655e6 + 1.09168e6i 0.127044 + 0.117879i
\(211\) 5.51095e6 + 4.39483e6i 0.586650 + 0.467837i 0.871271 0.490803i \(-0.163296\pi\)
−0.284621 + 0.958640i \(0.591868\pi\)
\(212\) −6.39206e6 + 4.35803e6i −0.670862 + 0.457386i
\(213\) −3.95070e6 + 1.90256e6i −0.408823 + 0.196879i
\(214\) 716760.i 0.0731362i
\(215\) −1.11940e7 + 3.21695e6i −1.12634 + 0.323690i
\(216\) 3.20900e6 0.318425
\(217\) 37052.4 + 76940.2i 0.00362608 + 0.00752964i
\(218\) −1.28710e6 1.88782e6i −0.124234 0.182218i
\(219\) −3.88816e6 + 4.87560e6i −0.370179 + 0.464190i
\(220\) −1.44311e7 + 1.55530e7i −1.35529 + 1.46065i
\(221\) 1.39731e7 2.42021e7i 1.29454 2.24221i
\(222\) −873244. + 504168.i −0.0798136 + 0.0460804i
\(223\) −1.94088e7 4.42993e6i −1.75018 0.399468i −0.777001 0.629500i \(-0.783260\pi\)
−0.973183 + 0.230032i \(0.926117\pi\)
\(224\) −4.19829e6 + 1.06971e7i −0.373532 + 0.951745i
\(225\) −3.39268e6 1.04650e6i −0.297848 0.0918740i
\(226\) 659837. + 827409.i 0.0571625 + 0.0716795i
\(227\) 1.12687e6 + 84447.2i 0.0963377 + 0.00721951i 0.122812 0.992430i \(-0.460809\pi\)
−0.0264740 + 0.999650i \(0.508428\pi\)
\(228\) −542085. + 167211.i −0.0457365 + 0.0141078i
\(229\) 1.14471e7 + 7.80449e6i 0.953210 + 0.649887i 0.936758 0.349977i \(-0.113811\pi\)
0.0164514 + 0.999865i \(0.494763\pi\)
\(230\) −202345. 30498.7i −0.0166307 0.00250667i
\(231\) −3.31236e6 1.45124e7i −0.268721 1.17734i
\(232\) 2.91466e6 2.70441e6i 0.233412 0.216575i
\(233\) −5.76472e6 + 432006.i −0.455733 + 0.0341524i −0.300619 0.953744i \(-0.597193\pi\)
−0.155113 + 0.987897i \(0.549574\pi\)
\(234\) −3.68181e6 + 1.44501e6i −0.287352 + 0.112777i
\(235\) 3.15106e6 + 2.09059e7i 0.242802 + 1.61089i
\(236\) 2.98153e6 + 1.43583e6i 0.226831 + 0.109236i
\(237\) −163249. + 338991.i −0.0122633 + 0.0254650i
\(238\) 7.42223e6 1.11872e6i 0.550559 0.0829834i
\(239\) −1.41837e6 3.61394e6i −0.103895 0.264720i 0.869468 0.493989i \(-0.164462\pi\)
−0.973363 + 0.229269i \(0.926366\pi\)
\(240\) 422767. + 5.64143e6i 0.0305821 + 0.408090i
\(241\) −2.12425e6 2.28939e6i −0.151759 0.163557i 0.652597 0.757705i \(-0.273680\pi\)
−0.804355 + 0.594148i \(0.797489\pi\)
\(242\) −6.61175e6 + 1.50909e6i −0.466520 + 0.106480i
\(243\) 2.05736e6 1.36497e7i 0.143381 0.951270i
\(244\) 3.48989e6 5.11872e6i 0.240238 0.352364i
\(245\) 8.97551e6 + 2.90979e7i 0.610324 + 1.97862i
\(246\) 56545.1 754542.i 0.00379830 0.0506848i
\(247\) 2.46352e6 1.96459e6i 0.163480 0.130371i
\(248\) 9642.34 31259.7i 0.000632160 0.00204941i
\(249\) −1.99490e6 782941.i −0.129218 0.0507144i
\(250\) 558260. 2.44590e6i 0.0357286 0.156537i
\(251\) −5.87270e6 1.01718e7i −0.371379 0.643247i 0.618399 0.785864i \(-0.287782\pi\)
−0.989778 + 0.142617i \(0.954448\pi\)
\(252\) 1.83219e7 + 1.05782e7i 1.14490 + 0.661010i
\(253\) 1.39122e6 + 1.29086e6i 0.0859081 + 0.0797110i
\(254\) −4.48690e6 3.57819e6i −0.273808 0.218354i
\(255\) 9.99308e6 6.81317e6i 0.602669 0.410893i
\(256\) −8.39534e6 + 4.04298e6i −0.500401 + 0.240981i
\(257\) 2.06871e6i 0.121871i −0.998142 0.0609356i \(-0.980592\pi\)
0.998142 0.0609356i \(-0.0194084\pi\)
\(258\) −1.33678e6 + 737662.i −0.0778397 + 0.0429535i
\(259\) −2.99580e7 −1.72430
\(260\) −1.43928e7 2.98870e7i −0.818891 1.70045i
\(261\) −6.23586e6 9.14632e6i −0.350731 0.514428i
\(262\) −453387. + 568529.i −0.0252096 + 0.0316118i
\(263\) 8.22839e6 8.86809e6i 0.452322 0.487487i −0.465181 0.885215i \(-0.654011\pi\)
0.917503 + 0.397728i \(0.130201\pi\)
\(264\) −2.85111e6 + 4.93826e6i −0.154954 + 0.268388i
\(265\) 1.61056e7 9.29857e6i 0.865444 0.499665i
\(266\) 825098. + 188323.i 0.0438390 + 0.0100060i
\(267\) −778910. + 1.98463e6i −0.0409217 + 0.104267i
\(268\) −3.56451e6 1.09950e6i −0.185180 0.0571206i
\(269\) 1.62302e7 + 2.03521e7i 0.833812 + 1.04557i 0.998247 + 0.0591796i \(0.0188485\pi\)
−0.164435 + 0.986388i \(0.552580\pi\)
\(270\) −3.75201e6 281175.i −0.190622 0.0142852i
\(271\) −2.56408e7 + 7.90913e6i −1.28832 + 0.397394i −0.861875 0.507120i \(-0.830710\pi\)
−0.426444 + 0.904514i \(0.640234\pi\)
\(272\) 2.18598e7 + 1.49038e7i 1.08628 + 0.740610i
\(273\) 2.30134e7 + 3.46872e6i 1.13108 + 0.170483i
\(274\) 1.64512e6 + 7.20776e6i 0.0799736 + 0.350387i
\(275\) 1.01654e7 9.43214e6i 0.488796 0.453537i
\(276\) 532720. 39921.9i 0.0253380 0.00189882i
\(277\) −1.51772e6 + 595660.i −0.0714088 + 0.0280259i −0.400777 0.916176i \(-0.631260\pi\)
0.329368 + 0.944202i \(0.393164\pi\)
\(278\) 397640. + 2.63817e6i 0.0185079 + 0.122792i
\(279\) −82057.6 39516.9i −0.00377839 0.00181958i
\(280\) 7.92566e6 1.64578e7i 0.361045 0.749718i
\(281\) 1.03187e7 1.55530e6i 0.465057 0.0700961i 0.0876658 0.996150i \(-0.472059\pi\)
0.377391 + 0.926054i \(0.376821\pi\)
\(282\) 1.01254e6 + 2.57990e6i 0.0451506 + 0.115042i
\(283\) −1.68082e6 2.24290e7i −0.0741588 0.989581i −0.902873 0.429908i \(-0.858546\pi\)
0.828714 0.559673i \(-0.189073\pi\)
\(284\) 1.65566e7 + 1.78437e7i 0.722795 + 0.778988i
\(285\) 1.32950e6 303449.i 0.0574318 0.0131084i
\(286\) 2.30246e6 1.52759e7i 0.0984226 0.652991i
\(287\) 1.26638e7 1.85743e7i 0.535694 0.785719i
\(288\) −3.61244e6 1.17113e7i −0.151225 0.490259i
\(289\) 2.42313e6 3.23344e7i 0.100388 1.33959i
\(290\) −3.64483e6 + 2.90665e6i −0.149446 + 0.119179i
\(291\) 532171. 1.72526e6i 0.0215960 0.0700124i
\(292\) 3.22249e7 + 1.26473e7i 1.29432 + 0.507985i
\(293\) 4.35910e6 1.90984e7i 0.173298 0.759268i −0.811328 0.584591i \(-0.801255\pi\)
0.984626 0.174677i \(-0.0558880\pi\)
\(294\) 1.99587e6 + 3.45695e6i 0.0785399 + 0.136035i
\(295\) −6.88922e6 3.97749e6i −0.268351 0.154933i
\(296\) 8.41250e6 + 7.80566e6i 0.324377 + 0.300978i
\(297\) 2.72824e7 + 2.17570e7i 1.04139 + 0.830482i
\(298\) −5.39050e6 + 3.67518e6i −0.203695 + 0.138877i
\(299\) −2.67340e6 + 1.28744e6i −0.100012 + 0.0481631i
\(300\) 3.90342e6i 0.144571i
\(301\) −4.53534e7 878128.i −1.66307 0.0322002i
\(302\) −3.39941e6 −0.123419
\(303\) 2.32311e6 + 4.82398e6i 0.0835105 + 0.173411i
\(304\) 1.68042e6 + 2.46472e6i 0.0598130 + 0.0877296i
\(305\) −9.28530e6 + 1.16434e7i −0.327263 + 0.410374i
\(306\) −5.44499e6 + 5.86831e6i −0.190035 + 0.204809i
\(307\) 8.48202e6 1.46913e7i 0.293146 0.507744i −0.681406 0.731906i \(-0.738631\pi\)
0.974552 + 0.224162i \(0.0719644\pi\)
\(308\) −7.15621e7 + 4.13164e7i −2.44924 + 1.41407i
\(309\) −1.69756e7 3.87457e6i −0.575374 0.131325i
\(310\) −14013.0 + 35704.5i −0.000470377 + 0.00119850i
\(311\) −1.83939e7 5.67376e6i −0.611494 0.188621i −0.0264869 0.999649i \(-0.508432\pi\)
−0.585007 + 0.811028i \(0.698908\pi\)
\(312\) −5.55861e6 6.97028e6i −0.183022 0.229502i
\(313\) 1.37300e7 + 1.02892e6i 0.447751 + 0.0335543i 0.296698 0.954971i \(-0.404115\pi\)
0.151053 + 0.988526i \(0.451734\pi\)
\(314\) 4.76159e6 1.46875e6i 0.153802 0.0474417i
\(315\) −4.20200e7 2.86488e7i −1.34439 0.916588i
\(316\) 2.06532e6 + 311296.i 0.0654523 + 0.00986535i
\(317\) 7.97469e6 + 3.49394e7i 0.250343 + 1.09683i 0.931229 + 0.364436i \(0.118738\pi\)
−0.680885 + 0.732390i \(0.738405\pi\)
\(318\) 1.78709e6 1.65817e6i 0.0555731 0.0515643i
\(319\) 4.31159e7 3.23109e6i 1.32821 0.0995353i
\(320\) 2.58970e7 1.01638e7i 0.790313 0.310175i
\(321\) −670406. 4.44785e6i −0.0202685 0.134473i
\(322\) −718049. 345794.i −0.0215073 0.0103574i
\(323\) 2.76709e6 5.74592e6i 0.0821137 0.170511i
\(324\) −1.70174e7 + 2.56497e6i −0.500333 + 0.0754131i
\(325\) 7.92106e6 + 2.01825e7i 0.230745 + 0.587930i
\(326\) −26139.6 348809.i −0.000754479 0.0100678i
\(327\) −9.75280e6 1.05110e7i −0.278924 0.300609i
\(328\) −8.39570e6 + 1.91626e6i −0.237923 + 0.0543043i
\(329\) −1.22724e7 + 8.14220e7i −0.344621 + 2.28641i
\(330\) 3.76626e6 5.52409e6i 0.104802 0.153716i
\(331\) −1.27704e7 4.14005e7i −0.352143 1.14162i −0.942423 0.334422i \(-0.891459\pi\)
0.590280 0.807198i \(-0.299017\pi\)
\(332\) −889022. + 1.18632e7i −0.0242939 + 0.324180i
\(333\) 2.49800e7 1.99209e7i 0.676487 0.539480i
\(334\) −657160. + 2.13046e6i −0.0176373 + 0.0571787i
\(335\) 8.34713e6 + 3.27601e6i 0.222025 + 0.0871385i
\(336\) −4.90286e6 + 2.14808e7i −0.129250 + 0.566282i
\(337\) 3.07425e7 + 5.32475e7i 0.803247 + 1.39127i 0.917468 + 0.397810i \(0.130230\pi\)
−0.114221 + 0.993455i \(0.536437\pi\)
\(338\) 1.36051e7 + 7.85492e6i 0.352332 + 0.203419i
\(339\) 4.86851e6 + 4.51732e6i 0.124968 + 0.115953i
\(340\) −5.24920e7 4.18610e7i −1.33554 1.06506i
\(341\) 293919. 200390.i 0.00741249 0.00505375i
\(342\) −813221. + 391626.i −0.0203297 + 0.00979025i
\(343\) 5.14727e7i 1.27554i
\(344\) 1.25069e7 + 1.20636e7i 0.307237 + 0.296347i
\(345\) −1.28418e6 −0.0312729
\(346\) −276546. 574253.i −0.00667634 0.0138636i
\(347\) −2.20350e7 3.23194e7i −0.527380 0.773525i 0.466437 0.884555i \(-0.345537\pi\)
−0.993817 + 0.111030i \(0.964585\pi\)
\(348\) 7.58817e6 9.51527e6i 0.180053 0.225779i
\(349\) −3.81087e7 + 4.10714e7i −0.896495 + 0.966192i −0.999594 0.0284794i \(-0.990934\pi\)
0.103099 + 0.994671i \(0.467124\pi\)
\(350\) −2.91169e6 + 5.04319e6i −0.0679111 + 0.117625i
\(351\) −4.72492e7 + 2.72793e7i −1.09263 + 0.630830i
\(352\) 4.66686e7 + 1.06518e7i 1.07003 + 0.244228i
\(353\) 1.70775e7 4.35127e7i 0.388239 0.989218i −0.594479 0.804111i \(-0.702642\pi\)
0.982718 0.185107i \(-0.0592630\pi\)
\(354\) −996479. 307373.i −0.0224625 0.00692877i
\(355\) −3.64830e7 4.57483e7i −0.815466 1.02256i
\(356\) 1.18021e7 + 884444.i 0.261583 + 0.0196029i
\(357\) 4.50122e7 1.38844e7i 0.989295 0.305157i
\(358\) 1.05953e7 + 7.22375e6i 0.230921 + 0.157439i
\(359\) 3.81814e7 + 5.75492e6i 0.825217 + 0.124381i 0.548056 0.836442i \(-0.315368\pi\)
0.277161 + 0.960823i \(0.410606\pi\)
\(360\) 4.33510e6 + 1.89933e7i 0.0929161 + 0.407092i
\(361\) −3.39600e7 + 3.15102e7i −0.721848 + 0.669777i
\(362\) −3.35395e6 + 251344.i −0.0707019 + 0.00529838i
\(363\) −3.96177e7 + 1.55488e7i −0.828264 + 0.325070i
\(364\) −1.92555e7 1.27752e8i −0.399256 2.64889i
\(365\) −7.49759e7 3.61065e7i −1.54185 0.742517i
\(366\) −847042. + 1.75890e6i −0.0172767 + 0.0358755i
\(367\) −6.57702e7 + 9.91326e6i −1.33055 + 0.200548i −0.775541 0.631297i \(-0.782523\pi\)
−0.555008 + 0.831845i \(0.687285\pi\)
\(368\) −1.02629e6 2.61495e6i −0.0205934 0.0524711i
\(369\) 1.79171e6 + 2.39088e7i 0.0356607 + 0.475859i
\(370\) −9.15211e6 9.86362e6i −0.180682 0.194729i
\(371\) 7.06141e7 1.61172e7i 1.38283 0.315623i
\(372\) 14924.0 99014.3i 0.000289906 0.00192340i
\(373\) −2.63036e7 + 3.85803e7i −0.506860 + 0.743427i −0.991332 0.131379i \(-0.958059\pi\)
0.484472 + 0.874807i \(0.339012\pi\)
\(374\) −9.21621e6 2.98782e7i −0.176172 0.571136i
\(375\) 1.17656e6 1.57002e7i 0.0223111 0.297721i
\(376\) 2.46610e7 1.96665e7i 0.463924 0.369967i
\(377\) −1.99255e7 + 6.45968e7i −0.371864 + 1.20555i
\(378\) −1.36409e7 5.35367e6i −0.252562 0.0991235i
\(379\) −7.74463e6 + 3.39314e7i −0.142260 + 0.623282i 0.852647 + 0.522487i \(0.174996\pi\)
−0.994907 + 0.100795i \(0.967861\pi\)
\(380\) −3.78504e6 6.55588e6i −0.0689795 0.119476i
\(381\) −3.11902e7 1.80077e7i −0.563954 0.325599i
\(382\) −4.40412e6 4.08642e6i −0.0790076 0.0733083i
\(383\) 6.25966e7 + 4.99192e7i 1.11418 + 0.888528i 0.994547 0.104291i \(-0.0332572\pi\)
0.119632 + 0.992818i \(0.461829\pi\)
\(384\) 1.47052e7 1.00259e7i 0.259704 0.177063i
\(385\) 1.78967e8 8.61859e7i 3.13611 1.51027i
\(386\) 2.30927e7i 0.401525i
\(387\) 3.84011e7 2.94260e7i 0.662537 0.507689i
\(388\) −1.00225e7 −0.171586
\(389\) 3.00679e7 + 6.24366e7i 0.510804 + 1.06069i 0.983740 + 0.179598i \(0.0574797\pi\)
−0.472936 + 0.881097i \(0.656806\pi\)
\(390\) 5.88849e6 + 8.63682e6i 0.0992681 + 0.145600i
\(391\) −3.74447e6 + 4.69542e6i −0.0626413 + 0.0785497i
\(392\) 3.09006e7 3.33029e7i 0.512990 0.552872i
\(393\) −2.28173e6 + 3.95207e6i −0.0375912 + 0.0651099i
\(394\) 8.51506e6 4.91617e6i 0.139219 0.0803782i
\(395\) −4.89494e6 1.11724e6i −0.0794248 0.0181282i
\(396\) 3.21971e7 8.20368e7i 0.518479 1.32106i
\(397\) 3.18698e6 + 983052.i 0.0509340 + 0.0157110i 0.320117 0.947378i \(-0.396278\pi\)
−0.269184 + 0.963089i \(0.586754\pi\)
\(398\) 1.11027e7 + 1.39224e7i 0.176108 + 0.220833i
\(399\) 5.29628e6 + 396901.i 0.0833782 + 0.00624833i
\(400\) −1.96140e7 + 6.05013e6i −0.306469 + 0.0945333i
\(401\) −7.60053e7 5.18195e7i −1.17872 0.803638i −0.194555 0.980892i \(-0.562326\pi\)
−0.984165 + 0.177254i \(0.943279\pi\)
\(402\) 1.16234e6 + 175195.i 0.0178918 + 0.00269676i
\(403\) 123762. + 542235.i 0.00189091 + 0.00828462i
\(404\) 2.17880e7 2.02163e7i 0.330425 0.306589i
\(405\) 4.12541e7 3.09156e6i 0.621014 0.0465386i
\(406\) −1.69016e7 + 6.63339e6i −0.252551 + 0.0991191i
\(407\) 1.85995e7 + 1.23399e8i 0.275878 + 1.83033i
\(408\) −1.62575e7 7.82920e6i −0.239372 0.115276i
\(409\) 4.87749e7 1.01282e8i 0.712896 1.48034i −0.157254 0.987558i \(-0.550264\pi\)
0.870151 0.492786i \(-0.164021\pi\)
\(410\) 9.98431e6 1.50489e6i 0.144866 0.0218350i
\(411\) 1.69504e7 + 4.31890e7i 0.244149 + 0.622081i
\(412\) 7.22329e6 + 9.63880e7i 0.103286 + 1.37826i
\(413\) −2.10732e7 2.27116e7i −0.299145 0.322401i
\(414\) 828672. 189139.i 0.0116784 0.00266551i
\(415\) 4.26223e6 2.82780e7i 0.0596338 0.395645i
\(416\) −4.21600e7 + 6.18374e7i −0.585627 + 0.858957i
\(417\) 4.93511e6 + 1.59992e7i 0.0680595 + 0.220643i
\(418\) 263455. 3.51556e6i 0.00360726 0.0481356i
\(419\) 2.13902e7 1.70581e7i 0.290786 0.231894i −0.467221 0.884141i \(-0.654745\pi\)
0.758007 + 0.652247i \(0.226173\pi\)
\(420\) 1.64808e7 5.34295e7i 0.222449 0.721163i
\(421\) 4.09136e7 + 1.60574e7i 0.548304 + 0.215194i 0.623290 0.781991i \(-0.285796\pi\)
−0.0749853 + 0.997185i \(0.523891\pi\)
\(422\) −2.74376e6 + 1.20212e7i −0.0365097 + 0.159959i
\(423\) −4.39092e7 7.60530e7i −0.580142 1.00484i
\(424\) −2.40285e7 1.38729e7i −0.315231 0.181999i
\(425\) 3.21682e7 + 2.98477e7i 0.419044 + 0.388816i
\(426\) −5.99708e6 4.78251e6i −0.0775730 0.0618624i
\(427\) −4.79231e7 + 3.26734e7i −0.615547 + 0.419673i
\(428\) −2.24970e7 + 1.08340e7i −0.286941 + 0.138184i
\(429\) 9.69478e7i 1.22791i
\(430\) −1.35662e7 1.52008e7i −0.170630 0.191188i
\(431\) 9.69574e7 1.21101 0.605507 0.795840i \(-0.292970\pi\)
0.605507 + 0.795840i \(0.292970\pi\)
\(432\) −2.24107e7 4.65363e7i −0.277974 0.577219i
\(433\) −1.63391e6 2.39651e6i −0.0201264 0.0295200i 0.816044 0.577990i \(-0.196163\pi\)
−0.836170 + 0.548470i \(0.815210\pi\)
\(434\) −93139.7 + 116793.i −0.00113937 + 0.00142873i
\(435\) −1.98993e7 + 2.14463e7i −0.241752 + 0.260547i
\(436\) −3.97985e7 + 6.89329e7i −0.480183 + 0.831701i
\(437\) −586425. + 338573.i −0.00702697 + 0.00405702i
\(438\) −1.06353e7 2.42743e6i −0.126569 0.0288885i
\(439\) 4.55075e6 1.15951e7i 0.0537885 0.137051i −0.901454 0.432875i \(-0.857499\pi\)
0.955242 + 0.295824i \(0.0955943\pi\)
\(440\) −7.27117e7 2.24286e7i −0.853584 0.263296i
\(441\) −7.88616e7 9.88893e7i −0.919496 1.15301i
\(442\) 4.87493e7 + 3.65325e6i 0.564549 + 0.0423071i
\(443\) −8.33427e6 + 2.57078e6i −0.0958642 + 0.0295702i −0.342316 0.939585i \(-0.611211\pi\)
0.246452 + 0.969155i \(0.420735\pi\)
\(444\) 2.90236e7 + 1.97879e7i 0.331591 + 0.226075i
\(445\) −2.81324e7 4.24028e6i −0.319247 0.0481188i
\(446\) −7.74923e6 3.39516e7i −0.0873482 0.382697i
\(447\) −3.00132e7 + 2.78482e7i −0.336040 + 0.311799i
\(448\) 1.08048e8 8.09704e6i 1.20166 0.0900518i
\(449\) −1.00987e8 + 3.96345e7i −1.11565 + 0.437859i −0.850302 0.526295i \(-0.823581\pi\)
−0.265344 + 0.964154i \(0.585485\pi\)
\(450\) −925657. 6.14133e6i −0.0101581 0.0673946i
\(451\) −8.43714e7 4.06311e7i −0.919741 0.442924i
\(452\) 1.59964e7 3.32168e7i 0.173223 0.359702i
\(453\) −2.10950e7 + 3.17956e6i −0.226926 + 0.0342037i
\(454\) 722188. + 1.84010e6i 0.00771760 + 0.0196641i
\(455\) 2.32088e7 + 3.09699e8i 0.246387 + 3.28781i
\(456\) −1.38383e6 1.49142e6i −0.0145945 0.0157291i
\(457\) 4.79404e7 1.09421e7i 0.502288 0.114644i 0.0361329 0.999347i \(-0.488496\pi\)
0.466155 + 0.884703i \(0.345639\pi\)
\(458\) −3.61211e6 + 2.39648e7i −0.0375979 + 0.249446i
\(459\) −6.22051e7 + 9.12381e7i −0.643262 + 0.943492i
\(460\) 2.10123e6 + 6.81202e6i 0.0215874 + 0.0699846i
\(461\) 8.00423e6 1.06809e8i 0.0816991 1.09020i −0.794185 0.607676i \(-0.792102\pi\)
0.875884 0.482522i \(-0.160279\pi\)
\(462\) 2.03583e7 1.62352e7i 0.206450 0.164638i
\(463\) 2.56962e7 8.33049e7i 0.258896 0.839320i −0.729042 0.684469i \(-0.760034\pi\)
0.987938 0.154851i \(-0.0494898\pi\)
\(464\) −5.95739e7 2.33810e7i −0.596352 0.234051i
\(465\) −53562.1 + 234671.i −0.000532720 + 0.00233400i
\(466\) −5.05622e6 8.75763e6i −0.0499652 0.0865423i
\(467\) 8.27992e7 + 4.78042e7i 0.812972 + 0.469370i 0.847987 0.530017i \(-0.177815\pi\)
−0.0350148 + 0.999387i \(0.511148\pi\)
\(468\) 1.01006e8 + 9.37197e7i 0.985391 + 0.914310i
\(469\) 2.73044e7 + 2.17745e7i 0.264676 + 0.211072i
\(470\) −3.05573e7 + 2.08336e7i −0.294321 + 0.200664i
\(471\) 2.81742e7 1.35680e7i 0.269643 0.129853i
\(472\) 1.18683e7i 0.112866i
\(473\) 2.45406e7 + 1.87360e8i 0.231901 + 1.77049i
\(474\) −658173. −0.00618023
\(475\) 2.14677e6 + 4.45782e6i 0.0200311 + 0.0415950i
\(476\) −1.47302e8 2.16052e8i −1.36580 2.00326i
\(477\) −4.81631e7 + 6.03946e7i −0.443771 + 0.556471i
\(478\) 4.61924e6 4.97836e6i 0.0422948 0.0455830i
\(479\) 9.58828e7 1.66074e8i 0.872437 1.51111i 0.0129695 0.999916i \(-0.495872\pi\)
0.859468 0.511190i \(-0.170795\pi\)
\(480\) −2.80510e7 + 1.61952e7i −0.253644 + 0.146441i
\(481\) −1.90220e8 4.34166e7i −1.70931 0.390140i
\(482\) 1.99593e6 5.08555e6i 0.0178240 0.0454147i
\(483\) −4.77928e6 1.47421e6i −0.0424152 0.0130833i
\(484\) 1.47304e8 + 1.84713e8i 1.29920 + 1.62915i
\(485\) 2.40254e7 + 1.80046e6i 0.210594 + 0.0157818i
\(486\) 2.30742e7 7.11744e6i 0.201010 0.0620033i
\(487\) 4.34104e7 + 2.95967e7i 0.375844 + 0.256246i 0.736478 0.676461i \(-0.236487\pi\)
−0.360634 + 0.932707i \(0.617440\pi\)
\(488\) 2.19704e7 + 3.31151e6i 0.189051 + 0.0284949i
\(489\) −488461. 2.14009e6i −0.00417737 0.0183023i
\(490\) −3.90476e7 + 3.62309e7i −0.331899 + 0.307957i
\(491\) −6.00854e7 + 4.50278e6i −0.507604 + 0.0380396i −0.326071 0.945345i \(-0.605725\pi\)
−0.181533 + 0.983385i \(0.558106\pi\)
\(492\) −2.45375e7 + 9.63027e6i −0.206032 + 0.0808617i
\(493\) 2.03922e7 + 1.35293e8i 0.170186 + 1.12911i
\(494\) 4.96609e6 + 2.39154e6i 0.0411940 + 0.0198380i
\(495\) −9.19183e7 + 1.90870e8i −0.757856 + 1.57370i
\(496\) −520662. + 78477.2i −0.00426688 + 0.000643129i
\(497\) −8.32593e7 2.12141e8i −0.678209 1.72805i
\(498\) −280148. 3.73832e6i −0.00226830 0.0302683i
\(499\) −1.21972e8 1.31455e8i −0.981655 1.05797i −0.998310 0.0581113i \(-0.981492\pi\)
0.0166550 0.999861i \(-0.494698\pi\)
\(500\) −8.52077e7 + 1.94481e7i −0.681661 + 0.155585i
\(501\) −2.08532e6 + 1.38352e7i −0.0165829 + 0.110020i
\(502\) 1.15740e7 1.69760e7i 0.0914901 0.134191i
\(503\) −3.10591e7 1.00691e8i −0.244053 0.791201i −0.991865 0.127291i \(-0.959372\pi\)
0.747812 0.663910i \(-0.231104\pi\)
\(504\) −5.67017e6 + 7.56632e7i −0.0442899 + 0.591008i
\(505\) −5.58606e7 + 4.45473e7i −0.433742 + 0.345898i
\(506\) −978552. + 3.17239e6i −0.00755323 + 0.0244870i
\(507\) 9.17735e7 + 3.60184e7i 0.704195 + 0.276376i
\(508\) −4.44882e7 + 1.94916e8i −0.339355 + 1.48681i
\(509\) 1.03570e8 + 1.79389e8i 0.785385 + 1.36033i 0.928769 + 0.370659i \(0.120868\pi\)
−0.143384 + 0.989667i \(0.545799\pi\)
\(510\) 1.83226e7 + 1.05785e7i 0.138126 + 0.0797472i
\(511\) −2.37585e8 2.20447e8i −1.78056 1.65212i
\(512\) −9.38668e7 7.48563e7i −0.699362 0.557723i
\(513\) −1.02872e7 + 7.01369e6i −0.0761982 + 0.0519510i
\(514\) 3.26041e6 1.57013e6i 0.0240095 0.0115623i
\(515\) 2.32354e8i 1.70109i
\(516\) 4.33588e7 + 3.08077e7i 0.315593 + 0.224238i
\(517\) 3.43003e8 2.48214
\(518\) −2.27378e7 4.72155e7i −0.163591 0.339700i
\(519\) −2.25322e6 3.30486e6i −0.0161176 0.0236402i
\(520\) 7.41760e7 9.30137e7i 0.527537 0.661511i
\(521\) 1.81140e7 1.95223e7i 0.128086 0.138044i −0.665752 0.746173i \(-0.731889\pi\)
0.793838 + 0.608129i \(0.208080\pi\)
\(522\) 9.68217e6 1.67700e7i 0.0680709 0.117902i
\(523\) 6.62609e7 3.82558e7i 0.463183 0.267419i −0.250199 0.968194i \(-0.580496\pi\)
0.713382 + 0.700776i \(0.247163\pi\)
\(524\) 2.46975e7 + 5.63704e6i 0.171656 + 0.0391794i
\(525\) −1.33514e7 + 3.40189e7i −0.0922677 + 0.235094i
\(526\) 2.02219e7 + 6.23762e6i 0.138952 + 0.0428609i
\(527\) 701862. + 880107.i 0.00479535 + 0.00601317i
\(528\) 9.15251e7 + 6.85886e6i 0.621783 + 0.0465962i
\(529\) −1.40850e8 + 4.34464e7i −0.951457 + 0.293486i
\(530\) 2.68790e7 + 1.83258e7i 0.180545 + 0.123094i
\(531\) 3.26738e7 + 4.92479e6i 0.218231 + 0.0328930i
\(532\) −6.56061e6 2.87439e7i −0.0435722 0.190902i
\(533\) 1.07328e8 9.95860e7i 0.708814 0.657683i
\(534\) −3.71907e6 + 278706.i −0.0244236 + 0.00183030i
\(535\) 5.58748e7 2.19292e7i 0.364884 0.143206i
\(536\) −1.99391e6 1.32287e7i −0.0129483 0.0859061i
\(537\) 7.25056e7 + 3.49169e7i 0.468219 + 0.225482i
\(538\) −1.97575e7 + 4.10268e7i −0.126877 + 0.263464i
\(539\) 4.88507e8 7.36306e7i 3.11964 0.470210i
\(540\) 4.78872e7 + 1.22015e8i 0.304115 + 0.774873i
\(541\) −7.54663e6 1.00703e8i −0.0476608 0.635989i −0.968973 0.247166i \(-0.920501\pi\)
0.921312 0.388823i \(-0.127118\pi\)
\(542\) −3.19263e7 3.44084e7i −0.200517 0.216106i
\(543\) −2.05778e7 + 4.69676e6i −0.128529 + 0.0293359i
\(544\) −2.25768e7 + 1.49787e8i −0.140238 + 0.930418i
\(545\) 1.07786e8 1.58093e8i 0.665844 0.976614i
\(546\) 1.20000e7 + 3.89032e7i 0.0737233 + 0.239005i
\(547\) 1.34696e6 1.79739e7i 0.00822984 0.109820i −0.991576 0.129527i \(-0.958654\pi\)
0.999806 + 0.0197069i \(0.00627332\pi\)
\(548\) 2.01364e8 1.60582e8i 1.22360 0.975789i
\(549\) 1.82334e7 5.91111e7i 0.110192 0.357233i
\(550\) 2.25810e7 + 8.86240e6i 0.135724 + 0.0532676i
\(551\) −3.43278e6 + 1.50400e7i −0.0205206 + 0.0899067i
\(552\) 957957. + 1.65923e6i 0.00569546 + 0.00986483i
\(553\) −1.69347e7 9.77728e6i −0.100139 0.0578153i
\(554\) −2.09072e6 1.93991e6i −0.0122961 0.0114091i
\(555\) −6.60191e7 5.26484e7i −0.386181 0.307969i
\(556\) 7.67940e7 5.23573e7i 0.446789 0.304616i
\(557\) −2.18600e8 + 1.05272e8i −1.26498 + 0.609183i −0.941488 0.337047i \(-0.890572\pi\)
−0.323494 + 0.946230i \(0.604858\pi\)
\(558\) 159320.i 0.000916998i
\(559\) −2.86702e8 7.13041e7i −1.64133 0.408205i
\(560\) −2.94019e8 −1.67421
\(561\) −8.51370e7 1.76789e8i −0.482203 1.00130i
\(562\) 1.02830e7 + 1.50824e7i 0.0579310 + 0.0849692i
\(563\) −2.32837e7 + 2.91968e7i −0.130475 + 0.163610i −0.842777 0.538262i \(-0.819081\pi\)
0.712303 + 0.701873i \(0.247652\pi\)
\(564\) 6.56707e7 7.07762e7i 0.366045 0.394503i
\(565\) −4.43127e7 + 7.67519e7i −0.245688 + 0.425543i
\(566\) 3.40737e7 1.96724e7i 0.187919 0.108495i
\(567\) 1.57083e8 + 3.58531e7i 0.861745 + 0.196688i
\(568\) −3.18941e7 + 8.12648e7i −0.174046 + 0.443463i
\(569\) −4.59647e7 1.41782e7i −0.249510 0.0769635i 0.167478 0.985876i \(-0.446438\pi\)
−0.416987 + 0.908912i \(0.636914\pi\)
\(570\) 1.48732e6 + 1.86504e6i 0.00803121 + 0.0100708i
\(571\) 9.94203e6 + 745052.i 0.0534031 + 0.00400201i 0.101405 0.994845i \(-0.467666\pi\)
−0.0480017 + 0.998847i \(0.515285\pi\)
\(572\) −5.14266e8 + 1.58630e8i −2.74789 + 0.847613i
\(573\) −3.11519e7 2.12390e7i −0.165585 0.112894i
\(574\) 3.88858e7 + 5.86109e6i 0.205615 + 0.0309915i
\(575\) −1.03680e6 4.54251e6i −0.00545370 0.0238942i
\(576\) −8.47094e7 + 7.85988e7i −0.443266 + 0.411290i
\(577\) 3.31290e8 2.48267e7i 1.72457 0.129238i 0.824748 0.565500i \(-0.191317\pi\)
0.899820 + 0.436262i \(0.143698\pi\)
\(578\) 5.28000e7 2.07225e7i 0.273432 0.107314i
\(579\) 2.15992e7 + 1.43302e8i 0.111276 + 0.738270i
\(580\) 1.46324e8 + 7.04657e7i 0.749947 + 0.361155i
\(581\) 4.83252e7 1.00348e8i 0.246403 0.511660i
\(582\) 3.12301e6 470719.i 0.0158418 0.00238777i
\(583\) −1.10229e8 2.80859e8i −0.556276 1.41737i
\(584\) 9.27806e6 + 1.23807e8i 0.0465821 + 0.621595i
\(585\) −2.25290e8 2.42805e8i −1.12531 1.21280i
\(586\) 3.34087e7 7.62532e6i 0.166023 0.0378936i
\(587\) −2.86455e7 + 1.90050e8i −0.141626 + 0.939625i 0.799281 + 0.600958i \(0.205214\pi\)
−0.940906 + 0.338667i \(0.890024\pi\)
\(588\) 7.83354e7 1.14897e8i 0.385324 0.565167i
\(589\) 37411.4 + 121285.i 0.000183087 + 0.000593555i
\(590\) 1.03991e6 1.38767e7i 0.00506338 0.0675661i
\(591\) 4.82419e7 3.84716e7i 0.233702 0.186371i
\(592\) 5.44458e7 1.76509e8i 0.262422 0.850750i
\(593\) 1.03197e8 + 4.05017e7i 0.494882 + 0.194227i 0.599638 0.800271i \(-0.295311\pi\)
−0.104757 + 0.994498i \(0.533406\pi\)
\(594\) −1.35832e7 + 5.95120e7i −0.0648102 + 0.283952i
\(595\) 3.14292e8 + 5.44370e8i 1.49205 + 2.58430i
\(596\) 1.96832e8 + 1.13641e8i 0.929729 + 0.536779i
\(597\) 8.19198e7 + 7.60105e7i 0.385005 + 0.357232i
\(598\) −4.05816e6 3.23628e6i −0.0189769 0.0151336i
\(599\) 2.81779e8 1.92113e8i 1.31107 0.893876i 0.312644 0.949870i \(-0.398785\pi\)
0.998431 + 0.0559947i \(0.0178330\pi\)
\(600\) 1.26129e7 6.07407e6i 0.0583932 0.0281207i
\(601\) 2.87284e8i 1.32339i 0.749774 + 0.661694i \(0.230162\pi\)
−0.749774 + 0.661694i \(0.769838\pi\)
\(602\) −3.30387e7 7.21460e7i −0.151438 0.330691i
\(603\) −3.72465e7 −0.169876
\(604\) 5.13828e7 + 1.06697e8i 0.233188 + 0.484220i
\(605\) −3.19926e8 4.69246e8i −1.44472 2.11902i
\(606\) −5.83965e6 + 7.32269e6i −0.0262403 + 0.0329043i
\(607\) −1.80465e8 + 1.94495e8i −0.806912 + 0.869645i −0.993621 0.112771i \(-0.964027\pi\)
0.186709 + 0.982415i \(0.440218\pi\)
\(608\) −8.53971e6 + 1.47912e7i −0.0379955 + 0.0658102i
\(609\) −9.86784e7 + 5.69720e7i −0.436888 + 0.252237i
\(610\) −2.53981e7 5.79695e6i −0.111895 0.0255393i
\(611\) −1.95925e8 + 4.99209e8i −0.858947 + 2.18856i
\(612\) 2.66491e8 + 8.22016e7i 1.16259 + 0.358613i
\(613\) −2.62896e8 3.29661e8i −1.14131 1.43116i −0.885629 0.464393i \(-0.846272\pi\)
−0.255679 0.966762i \(-0.582299\pi\)
\(614\) 2.95921e7 + 2.21762e6i 0.127841 + 0.00958036i
\(615\) 6.05500e7 1.86772e7i 0.260309 0.0802947i
\(616\) −2.44861e8 1.66943e8i −1.04755 0.714211i
\(617\) −1.96955e8 2.96861e7i −0.838515 0.126386i −0.284275 0.958743i \(-0.591753\pi\)
−0.554240 + 0.832357i \(0.686991\pi\)
\(618\) −6.77775e6 2.96953e7i −0.0287158 0.125812i
\(619\) −5.53221e6 + 5.13315e6i −0.0233253 + 0.0216427i −0.691749 0.722138i \(-0.743160\pi\)
0.668424 + 0.743780i \(0.266969\pi\)
\(620\) 1.33247e6 99854.7i 0.00559090 0.000418980i
\(621\) 1.09142e7 4.28352e6i 0.0455741 0.0178865i
\(622\) −5.01858e6 3.32961e7i −0.0208550 0.138364i
\(623\) −9.98316e7 4.80764e7i −0.412861 0.198823i
\(624\) −6.22620e7 + 1.29288e8i −0.256253 + 0.532116i
\(625\) 2.97900e8 4.49011e7i 1.22020 0.183915i
\(626\) 8.79925e6 + 2.24201e7i 0.0358693 + 0.0913934i
\(627\) −1.65334e6 2.20622e7i −0.00670747 0.0895049i
\(628\) −1.18072e8 1.27252e8i −0.476726 0.513788i
\(629\) −3.85003e8 + 8.78745e7i −1.54708 + 0.353111i
\(630\) 1.32593e7 8.79699e7i 0.0530274 0.351814i
\(631\) −8.13240e7 + 1.19280e8i −0.323691 + 0.474768i −0.953249 0.302186i \(-0.902284\pi\)
0.629558 + 0.776954i \(0.283236\pi\)
\(632\) 2.20794e6 + 7.15795e6i 0.00874652 + 0.0283555i
\(633\) −5.78262e6 + 7.71637e7i −0.0227989 + 0.304230i
\(634\) −4.90137e7 + 3.90871e7i −0.192331 + 0.153379i
\(635\) 1.41660e8 4.59249e8i 0.553255 1.79361i
\(636\) −7.90574e7 3.10277e7i −0.307306 0.120609i
\(637\) −1.71875e8 + 7.53034e8i −0.664959 + 2.91338i
\(638\) 3.78168e7 + 6.55007e7i 0.145621 + 0.252223i
\(639\) 2.10490e8 + 1.21526e8i 0.806730 + 0.465766i
\(640\) 1.74100e8 + 1.61541e8i 0.664137 + 0.616229i
\(641\) −2.68054e7 2.13766e7i −0.101777 0.0811643i 0.571279 0.820756i \(-0.306447\pi\)
−0.673056 + 0.739591i \(0.735019\pi\)
\(642\) 6.50123e6 4.43246e6i 0.0245692 0.0167510i
\(643\) −5.46823e7 + 2.63336e7i −0.205690 + 0.0990553i −0.533893 0.845552i \(-0.679271\pi\)
0.328202 + 0.944607i \(0.393557\pi\)
\(644\) 2.77642e7i 0.103951i
\(645\) −9.84030e7 8.16396e7i −0.366715 0.304244i
\(646\) 1.11561e7 0.0413823
\(647\) −7.12526e7 1.47957e8i −0.263080 0.546291i 0.727027 0.686609i \(-0.240902\pi\)
−0.990106 + 0.140318i \(0.955187\pi\)
\(648\) −3.47687e7 5.09963e7i −0.127780 0.187419i
\(649\) −8.04674e7 + 1.00903e8i −0.294365 + 0.369122i
\(650\) −2.57968e7 + 2.78023e7i −0.0939346 + 0.101237i
\(651\) −468737. + 811877.i −0.00169897 + 0.00294271i
\(652\) −1.05530e7 + 6.09277e6i −0.0380744 + 0.0219822i
\(653\) −1.09094e8 2.48999e7i −0.391796 0.0894249i 0.0220844 0.999756i \(-0.492970\pi\)
−0.413881 + 0.910331i \(0.635827\pi\)
\(654\) 9.16369e6 2.33487e7i 0.0327595 0.0834698i
\(655\) −5.81909e7 1.79495e7i −0.207077 0.0638747i
\(656\) 8.64225e7 + 1.08370e8i 0.306137 + 0.383883i
\(657\) 3.44694e8 + 2.58313e7i 1.21545 + 0.0910856i
\(658\) −1.37640e8 + 4.24564e7i −0.483134 + 0.149027i
\(659\) −8.17350e7 5.57260e7i −0.285596 0.194716i 0.412045 0.911163i \(-0.364815\pi\)
−0.697641 + 0.716447i \(0.745767\pi\)
\(660\) −2.30313e8 3.47140e7i −0.801098 0.120746i
\(661\) −3.53811e7 1.55015e8i −0.122509 0.536746i −0.998517 0.0544490i \(-0.982660\pi\)
0.876008 0.482297i \(-0.160197\pi\)
\(662\) 5.55569e7 5.15493e7i 0.191498 0.177684i
\(663\) 3.05930e8 2.29263e7i 1.04974 0.0786672i
\(664\) −3.97163e7 + 1.55875e7i −0.135664 + 0.0532441i
\(665\) 1.05632e7 + 7.00819e7i 0.0359194 + 0.238309i
\(666\) 5.03559e7 + 2.42501e7i 0.170462 + 0.0820902i
\(667\) 6.30318e6 1.30887e7i 0.0212413 0.0441081i
\(668\) 7.68019e7 1.15760e7i 0.257657 0.0388356i
\(669\) −7.98436e7 2.03438e8i −0.266662 0.679445i
\(670\) 1.17220e6 + 1.56420e7i 0.00389744 + 0.0520077i
\(671\) 1.64338e8 + 1.77114e8i 0.543963 + 0.586253i
\(672\) −1.22988e8 + 2.80712e7i −0.405280 + 0.0925024i
\(673\) 5.67338e7 3.76404e8i 0.186122 1.23484i −0.679326 0.733837i \(-0.737728\pi\)
0.865447 0.501000i \(-0.167034\pi\)
\(674\) −6.05879e7 + 8.88661e7i −0.197882 + 0.290240i
\(675\) −2.52519e7 8.18647e7i −0.0821075 0.266186i
\(676\) 4.08986e7 5.45753e8i 0.132394 1.76667i
\(677\) 2.56448e8 2.04510e8i 0.826481 0.659097i −0.116039 0.993245i \(-0.537020\pi\)
0.942521 + 0.334148i \(0.108448\pi\)
\(678\) −3.42440e6 + 1.11016e7i −0.0109874 + 0.0356203i
\(679\) 8.73475e7 + 3.42814e7i 0.279024 + 0.109509i
\(680\) 5.35811e7 2.34754e8i 0.170406 0.746598i
\(681\) 6.20263e6 + 1.07433e7i 0.0196397 + 0.0340169i
\(682\) 538907. + 311138.i 0.00169887 + 0.000980845i
\(683\) 3.14406e8 + 2.91726e8i 0.986798 + 0.915615i 0.996437 0.0843385i \(-0.0268777\pi\)
−0.00963886 + 0.999954i \(0.503068\pi\)
\(684\) 2.45840e7 + 1.96051e7i 0.0768217 + 0.0612633i
\(685\) −5.11546e8 + 3.48766e8i −1.59152 + 1.08508i
\(686\) −8.11238e7 + 3.90672e7i −0.251290 + 0.121015i
\(687\) 1.52092e8i 0.469067i
\(688\) 8.75993e7 2.65621e8i 0.268990 0.815637i
\(689\) 4.71727e8 1.44223
\(690\) −974678. 2.02394e6i −0.00296697 0.00616098i
\(691\) 2.92328e8 + 4.28766e8i 0.886004 + 1.29953i 0.953371 + 0.301801i \(0.0975879\pi\)
−0.0673666 + 0.997728i \(0.521460\pi\)
\(692\) −1.38441e7 + 1.73599e7i −0.0417778 + 0.0523877i
\(693\) −5.61204e8 + 6.04834e8i −1.68625 + 1.81734i
\(694\) 3.42128e7 5.92583e7i 0.102355 0.177285i
\(695\) −1.93492e8 + 1.11713e8i −0.576379 + 0.332773i
\(696\) 4.25541e7 + 9.71269e6i 0.126216 + 0.0288079i
\(697\) 1.08264e8 2.75853e8i 0.319732 0.814664i
\(698\) −9.36549e7 2.88887e7i −0.275400 0.0849497i
\(699\) −3.95676e7 4.96162e7i −0.115853 0.145275i
\(700\) 2.02302e8 + 1.51604e7i 0.589800 + 0.0441994i
\(701\) 3.83424e8 1.18271e8i 1.11308 0.343339i 0.316934 0.948447i \(-0.397346\pi\)
0.796143 + 0.605108i \(0.206870\pi\)
\(702\) −7.88553e7 5.37626e7i −0.227939 0.155406i
\(703\) −4.40285e7 6.63623e6i −0.126727 0.0191010i
\(704\) −1.00434e8 4.40029e8i −0.287847 1.26114i
\(705\) −1.70137e8 + 1.57864e8i −0.485546 + 0.450521i
\(706\) 8.15400e7 6.11058e6i 0.231716 0.0173647i
\(707\) −2.59034e8 + 1.01663e8i −0.732990 + 0.287677i
\(708\) 5.41445e6 + 3.59225e7i 0.0152565 + 0.101220i
\(709\) −2.71725e8 1.30856e8i −0.762414 0.367159i 0.0119263 0.999929i \(-0.496204\pi\)
−0.774340 + 0.632770i \(0.781918\pi\)
\(710\) 4.44116e7 9.22217e7i 0.124086 0.257667i
\(711\) 2.06222e7 3.10830e6i 0.0573755 0.00864797i
\(712\) 1.55072e7 + 3.95118e7i 0.0429630 + 0.109468i
\(713\) −8932.02 119190.i −2.46423e−5 0.000328829i
\(714\) 5.60464e7 + 6.04037e7i 0.153976 + 0.165947i
\(715\) 1.26127e9 2.87876e8i 3.45056 0.787567i
\(716\) 6.65821e7 4.41743e8i 0.181392 1.20346i
\(717\) 2.40083e7 3.52137e7i 0.0651334 0.0955331i
\(718\) 1.99091e7 + 6.45439e7i 0.0537873 + 0.174374i
\(719\) −1.27808e7 + 1.70548e8i −0.0343853 + 0.458840i 0.953262 + 0.302145i \(0.0977028\pi\)
−0.987647 + 0.156694i \(0.949916\pi\)
\(720\) 2.45162e8 1.95511e8i 0.656835 0.523809i
\(721\) 2.66738e8 8.64742e8i 0.711670 2.30718i
\(722\) −7.54371e7 2.96069e7i −0.200435 0.0786649i
\(723\) 7.62909e6 3.34252e7i 0.0201863 0.0884421i
\(724\) 5.85846e7 + 1.01472e8i 0.154372 + 0.267380i
\(725\) −9.19278e7 5.30746e7i −0.241231 0.139275i
\(726\) −5.45751e7 5.06383e7i −0.142621 0.132333i
\(727\) −6.41718e7 5.11753e7i −0.167009 0.133186i 0.536419 0.843952i \(-0.319777\pi\)
−0.703428 + 0.710767i \(0.748348\pi\)
\(728\) 3.82836e8 2.61013e8i 0.992243 0.676500i
\(729\) −4.89548e7 + 2.35754e7i −0.126361 + 0.0608522i
\(730\) 1.45571e8i 0.374201i
\(731\) −5.85432e8 + 1.21748e8i −1.49873 + 0.311680i
\(732\) 6.80099e7 0.173396
\(733\) 1.58976e8 + 3.30118e8i 0.403664 + 0.838217i 0.999386 + 0.0350268i \(0.0111517\pi\)
−0.595722 + 0.803191i \(0.703134\pi\)
\(734\) −6.55427e7 9.61334e7i −0.165743 0.243101i
\(735\) −2.08422e8 + 2.61353e8i −0.524905 + 0.658211i
\(736\) 1.09397e7 1.17902e7i 0.0274391 0.0295724i
\(737\) 7.27390e7 1.25988e8i 0.181704 0.314721i
\(738\) −3.63216e7 + 2.09703e7i −0.0903642 + 0.0521718i
\(739\) 1.04204e8 + 2.37840e7i 0.258198 + 0.0589319i 0.349660 0.936877i \(-0.386297\pi\)
−0.0914625 + 0.995809i \(0.529154\pi\)
\(740\) −1.71254e8 + 4.36348e8i −0.422616 + 1.07681i
\(741\) 3.30539e7 + 1.01958e7i 0.0812397 + 0.0250591i
\(742\) 7.89969e7 + 9.90590e7i 0.193374 + 0.242484i
\(743\) 5.69282e8 + 4.26618e7i 1.38791 + 0.104009i 0.747621 0.664126i \(-0.231196\pi\)
0.640288 + 0.768135i \(0.278815\pi\)
\(744\) 343163. 105852.i 0.000833263 0.000257028i
\(745\) −4.51420e8 3.07773e8i −1.09172 0.744323i
\(746\) −8.07687e7 1.21739e7i −0.194548 0.0293234i
\(747\) 2.64324e7 + 1.15808e8i 0.0634125 + 0.277828i
\(748\) −7.98484e8 + 7.40885e8i −1.90792 + 1.77030i
\(749\) 2.33121e8 1.74700e7i 0.554800 0.0415765i
\(750\) 2.56373e7 1.00619e7i 0.0607699 0.0238504i
\(751\) 7.96010e7 + 5.28118e8i 0.187931 + 1.24684i 0.861516 + 0.507731i \(0.169516\pi\)
−0.673584 + 0.739110i \(0.735246\pi\)
\(752\) −4.57425e8 2.20284e8i −1.07564 0.518000i
\(753\) 5.59445e7 1.16170e8i 0.131031 0.272088i
\(754\) −1.16931e8 + 1.76246e7i −0.272783 + 0.0411154i
\(755\) −1.04005e8 2.65000e8i −0.241664 0.615750i
\(756\) 3.81496e7 + 5.09071e8i 0.0882926 + 1.17818i
\(757\) −1.40865e8 1.51817e8i −0.324726 0.349971i 0.549498 0.835495i \(-0.314819\pi\)
−0.874223 + 0.485524i \(0.838629\pi\)
\(758\) −5.93559e7 + 1.35476e7i −0.136288 + 0.0311068i
\(759\) −3.10518e6 + 2.06015e7i −0.00710168 + 0.0471166i
\(760\) 1.52938e7 2.24319e7i 0.0348398 0.0511006i
\(761\) 1.02779e8 + 3.33201e8i 0.233212 + 0.756054i 0.994225 + 0.107317i \(0.0342261\pi\)
−0.761013 + 0.648736i