Properties

Label 43.7.f.a.2.11
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 43.f (of order \(14\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(9.89232559565\)
Analytic rank: \(0\)
Dimension: \(126\)
Relative dimension: \(21\) over \(\Q(\zeta_{14})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{14}]$

Embedding invariants

Embedding label 2.11
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.546272 - 1.13435i) q^{2} +(-16.4415 + 34.1411i) q^{3} +(38.9150 - 48.7979i) q^{4} +(-89.4697 - 20.4209i) q^{5} +47.7093 q^{6} +356.575i q^{7} +(-155.169 - 35.4164i) q^{8} +(-440.768 - 552.706i) q^{9} +O(q^{10})\) \(q+(-0.546272 - 1.13435i) q^{2} +(-16.4415 + 34.1411i) q^{3} +(38.9150 - 48.7979i) q^{4} +(-89.4697 - 20.4209i) q^{5} +47.7093 q^{6} +356.575i q^{7} +(-155.169 - 35.4164i) q^{8} +(-440.768 - 552.706i) q^{9} +(25.7105 + 112.645i) q^{10} +(-972.368 - 1219.31i) q^{11} +(1026.19 + 2130.91i) q^{12} +(907.312 - 3975.19i) q^{13} +(404.479 - 194.787i) q^{14} +(2168.21 - 2718.84i) q^{15} +(-844.281 - 3699.04i) q^{16} +(-13.9470 - 61.1057i) q^{17} +(-386.180 + 801.911i) q^{18} +(-8090.58 - 6452.02i) q^{19} +(-4478.21 + 3571.25i) q^{20} +(-12173.9 - 5862.62i) q^{21} +(-851.942 + 1769.08i) q^{22} +(11126.6 + 13952.4i) q^{23} +(3760.37 - 4715.36i) q^{24} +(-6489.82 - 3125.33i) q^{25} +(-5004.88 + 1142.33i) q^{26} +(-815.075 + 186.036i) q^{27} +(17400.1 + 13876.1i) q^{28} +(-3362.10 - 6981.47i) q^{29} +(-4268.54 - 974.266i) q^{30} +(10029.9 - 4830.13i) q^{31} +(-11698.7 + 9329.40i) q^{32} +(57615.8 - 13150.4i) q^{33} +(-61.6961 + 49.2010i) q^{34} +(7281.57 - 31902.6i) q^{35} -44123.4 q^{36} -35700.1i q^{37} +(-2899.17 + 12702.1i) q^{38} +(120800. + 96334.7i) q^{39} +(13159.7 + 6337.39i) q^{40} +(-64324.0 + 30976.8i) q^{41} +17011.9i q^{42} +(7711.24 + 79132.2i) q^{43} -97339.5 q^{44} +(28148.7 + 58451.3i) q^{45} +(9748.63 - 20243.2i) q^{46} +(-124652. + 156309. i) q^{47} +(140170. + 31993.0i) q^{48} -9496.61 q^{49} +9068.98i q^{50} +(2315.53 + 528.504i) q^{51} +(-158673. - 198970. i) q^{52} +(-33176.9 - 145357. i) q^{53} +(656.281 + 822.951i) q^{54} +(62098.1 + 128948. i) q^{55} +(12628.6 - 55329.5i) q^{56} +(353300. - 170141. i) q^{57} +(-6082.78 + 7627.56i) q^{58} +(-45618.1 - 199866. i) q^{59} +(-48298.1 - 211608. i) q^{60} +(9261.90 - 19232.5i) q^{61} +(-10958.1 - 8738.77i) q^{62} +(197081. - 157167. i) q^{63} +(-201806. - 97184.5i) q^{64} +(-162354. + 337131. i) q^{65} +(-46391.0 - 58172.5i) q^{66} +(73175.5 - 91759.1i) q^{67} +(-3524.58 - 1697.35i) q^{68} +(-659288. + 150478. i) q^{69} +(-40166.3 + 9167.70i) q^{70} +(331981. + 264746. i) q^{71} +(48818.9 + 101373. i) q^{72} +(49749.5 + 11355.0i) q^{73} +(-40496.2 + 19501.9i) q^{74} +(213405. - 170185. i) q^{75} +(-629690. + 143723. i) q^{76} +(434776. - 346722. i) q^{77} +(43287.2 - 189654. i) q^{78} -34126.4 q^{79} +348193. i q^{80} +(121727. - 533323. i) q^{81} +(70276.8 + 56043.9i) q^{82} +(-629983. - 303384. i) q^{83} +(-759829. + 365915. i) q^{84} +5751.92i q^{85} +(85550.8 - 51974.9i) q^{86} +293633. q^{87} +(107698. + 223637. i) q^{88} +(22322.1 - 46352.4i) q^{89} +(50927.1 - 63860.6i) q^{90} +(1.41745e6 + 323525. i) q^{91} +1.11384e6 q^{92} +421845. i q^{93} +(245402. + 56011.5i) q^{94} +(592106. + 742477. i) q^{95} +(-126172. - 552795. i) q^{96} +(-862323. - 1.08132e6i) q^{97} +(5187.73 + 10772.4i) q^{98} +(-245331. + 1.07487e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{9}{14}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.546272 1.13435i −0.0682840 0.141793i 0.864033 0.503435i \(-0.167931\pi\)
−0.932317 + 0.361642i \(0.882216\pi\)
\(3\) −16.4415 + 34.1411i −0.608944 + 1.26449i 0.337411 + 0.941357i \(0.390449\pi\)
−0.946355 + 0.323128i \(0.895266\pi\)
\(4\) 38.9150 48.7979i 0.608047 0.762467i
\(5\) −89.4697 20.4209i −0.715758 0.163367i −0.150892 0.988550i \(-0.548215\pi\)
−0.564865 + 0.825183i \(0.691072\pi\)
\(6\) 47.7093 0.220876
\(7\) 356.575i 1.03958i 0.854295 + 0.519788i \(0.173989\pi\)
−0.854295 + 0.519788i \(0.826011\pi\)
\(8\) −155.169 35.4164i −0.303065 0.0691727i
\(9\) −440.768 552.706i −0.604620 0.758170i
\(10\) 25.7105 + 112.645i 0.0257105 + 0.112645i
\(11\) −972.368 1219.31i −0.730555 0.916086i 0.268329 0.963327i \(-0.413529\pi\)
−0.998884 + 0.0472410i \(0.984957\pi\)
\(12\) 1026.19 + 2130.91i 0.593862 + 1.23317i
\(13\) 907.312 3975.19i 0.412978 1.80937i −0.156866 0.987620i \(-0.550139\pi\)
0.569844 0.821753i \(-0.307004\pi\)
\(14\) 404.479 194.787i 0.147405 0.0709864i
\(15\) 2168.21 2718.84i 0.642431 0.805584i
\(16\) −844.281 3699.04i −0.206123 0.903085i
\(17\) −13.9470 61.1057i −0.00283879 0.0124376i 0.973489 0.228735i \(-0.0734590\pi\)
−0.976327 + 0.216298i \(0.930602\pi\)
\(18\) −386.180 + 801.911i −0.0662174 + 0.137502i
\(19\) −8090.58 6452.02i −1.17956 0.940665i −0.180478 0.983579i \(-0.557765\pi\)
−0.999079 + 0.0429135i \(0.986336\pi\)
\(20\) −4478.21 + 3571.25i −0.559776 + 0.446407i
\(21\) −12173.9 5862.62i −1.31453 0.633044i
\(22\) −851.942 + 1769.08i −0.0800096 + 0.166142i
\(23\) 11126.6 + 13952.4i 0.914493 + 1.14674i 0.988762 + 0.149500i \(0.0477664\pi\)
−0.0742685 + 0.997238i \(0.523662\pi\)
\(24\) 3760.37 4715.36i 0.272018 0.341099i
\(25\) −6489.82 3125.33i −0.415349 0.200021i
\(26\) −5004.88 + 1142.33i −0.284756 + 0.0649938i
\(27\) −815.075 + 186.036i −0.0414101 + 0.00945159i
\(28\) 17400.1 + 13876.1i 0.792643 + 0.632112i
\(29\) −3362.10 6981.47i −0.137853 0.286255i 0.820601 0.571501i \(-0.193639\pi\)
−0.958454 + 0.285246i \(0.907925\pi\)
\(30\) −4268.54 974.266i −0.158094 0.0360839i
\(31\) 10029.9 4830.13i 0.336675 0.162134i −0.257906 0.966170i \(-0.583032\pi\)
0.594580 + 0.804036i \(0.297318\pi\)
\(32\) −11698.7 + 9329.40i −0.357016 + 0.284711i
\(33\) 57615.8 13150.4i 1.60324 0.365930i
\(34\) −61.6961 + 49.2010i −0.00156972 + 0.00125181i
\(35\) 7281.57 31902.6i 0.169833 0.744085i
\(36\) −44123.4 −0.945717
\(37\) 35700.1i 0.704797i −0.935850 0.352398i \(-0.885366\pi\)
0.935850 0.352398i \(-0.114634\pi\)
\(38\) −2899.17 + 12702.1i −0.0528351 + 0.231485i
\(39\) 120800. + 96334.7i 2.03645 + 1.62401i
\(40\) 13159.7 + 6337.39i 0.205621 + 0.0990217i
\(41\) −64324.0 + 30976.8i −0.933300 + 0.449454i −0.837801 0.545976i \(-0.816159\pi\)
−0.0954994 + 0.995429i \(0.530445\pi\)
\(42\) 17011.9i 0.229618i
\(43\) 7711.24 + 79132.2i 0.0969881 + 0.995286i
\(44\) −97339.5 −1.14270
\(45\) 28148.7 + 58451.3i 0.308902 + 0.641441i
\(46\) 9748.63 20243.2i 0.100154 0.207973i
\(47\) −124652. + 156309.i −1.20062 + 1.50553i −0.389118 + 0.921188i \(0.627220\pi\)
−0.811505 + 0.584345i \(0.801351\pi\)
\(48\) 140170. + 31993.0i 1.26746 + 0.289288i
\(49\) −9496.61 −0.0807198
\(50\) 9068.98i 0.0725519i
\(51\) 2315.53 + 528.504i 0.0174558 + 0.00398417i
\(52\) −158673. 198970.i −1.12848 1.41507i
\(53\) −33176.9 145357.i −0.222847 0.976358i −0.955323 0.295565i \(-0.904492\pi\)
0.732475 0.680794i \(-0.238365\pi\)
\(54\) 656.281 + 822.951i 0.00416782 + 0.00522628i
\(55\) 62098.1 + 128948.i 0.373242 + 0.775044i
\(56\) 12628.6 55329.5i 0.0719103 0.315060i
\(57\) 353300. 170141.i 1.90774 0.918720i
\(58\) −6082.78 + 7627.56i −0.0311758 + 0.0390932i
\(59\) −45618.1 199866.i −0.222117 0.973158i −0.955881 0.293754i \(-0.905096\pi\)
0.733764 0.679404i \(-0.237762\pi\)
\(60\) −48298.1 211608.i −0.223602 0.979666i
\(61\) 9261.90 19232.5i 0.0408047 0.0847319i −0.879570 0.475770i \(-0.842170\pi\)
0.920375 + 0.391038i \(0.127884\pi\)
\(62\) −10958.1 8738.77i −0.0459790 0.0366670i
\(63\) 197081. 157167.i 0.788176 0.628549i
\(64\) −201806. 97184.5i −0.769828 0.370729i
\(65\) −162354. + 337131.i −0.591184 + 1.22761i
\(66\) −46391.0 58172.5i −0.161362 0.202342i
\(67\) 73175.5 91759.1i 0.243299 0.305088i −0.645156 0.764051i \(-0.723208\pi\)
0.888455 + 0.458963i \(0.151779\pi\)
\(68\) −3524.58 1697.35i −0.0112093 0.00539814i
\(69\) −659288. + 150478.i −2.00691 + 0.458064i
\(70\) −40166.3 + 9167.70i −0.117103 + 0.0267280i
\(71\) 331981. + 264746.i 0.927550 + 0.739697i 0.965723 0.259574i \(-0.0835823\pi\)
−0.0381727 + 0.999271i \(0.512154\pi\)
\(72\) 48818.9 + 101373.i 0.130795 + 0.271598i
\(73\) 49749.5 + 11355.0i 0.127885 + 0.0291889i 0.285984 0.958234i \(-0.407679\pi\)
−0.158099 + 0.987423i \(0.550537\pi\)
\(74\) −40496.2 + 19501.9i −0.0999353 + 0.0481263i
\(75\) 213405. 170185.i 0.505848 0.403400i
\(76\) −629690. + 143723.i −1.43445 + 0.327405i
\(77\) 434776. 346722.i 0.952342 0.759467i
\(78\) 43287.2 189654.i 0.0912170 0.399648i
\(79\) −34126.4 −0.0692164 −0.0346082 0.999401i \(-0.511018\pi\)
−0.0346082 + 0.999401i \(0.511018\pi\)
\(80\) 348193.i 0.680064i
\(81\) 121727. 533323.i 0.229052 1.00354i
\(82\) 70276.8 + 56043.9i 0.127459 + 0.101645i
\(83\) −629983. 303384.i −1.10178 0.530589i −0.207561 0.978222i \(-0.566553\pi\)
−0.894217 + 0.447633i \(0.852267\pi\)
\(84\) −759829. + 365915.i −1.28197 + 0.617365i
\(85\) 5751.92i 0.00936604i
\(86\) 85550.8 51974.9i 0.134502 0.0817143i
\(87\) 293633. 0.445910
\(88\) 107698. + 223637.i 0.158038 + 0.328168i
\(89\) 22322.1 46352.4i 0.0316640 0.0657509i −0.884537 0.466470i \(-0.845525\pi\)
0.916201 + 0.400719i \(0.131240\pi\)
\(90\) 50927.1 63860.6i 0.0698589 0.0876003i
\(91\) 1.41745e6 + 323525.i 1.88098 + 0.429322i
\(92\) 1.11384e6 1.43041
\(93\) 421845.i 0.524450i
\(94\) 245402. + 56011.5i 0.295458 + 0.0674363i
\(95\) 592106. + 742477.i 0.690603 + 0.865989i
\(96\) −126172. 552795.i −0.142610 0.624814i
\(97\) −862323. 1.08132e6i −0.944832 1.18478i −0.982645 0.185498i \(-0.940610\pi\)
0.0378123 0.999285i \(-0.487961\pi\)
\(98\) 5187.73 + 10772.4i 0.00551187 + 0.0114455i
\(99\) −245331. + 1.07487e6i −0.252841 + 1.10777i
\(100\) −405061. + 195067.i −0.405061 + 0.195067i
\(101\) −975399. + 1.22311e6i −0.946713 + 1.18714i 0.0354998 + 0.999370i \(0.488698\pi\)
−0.982213 + 0.187771i \(0.939874\pi\)
\(102\) −665.401 2915.31i −0.000627022 0.00274716i
\(103\) −178385. 781555.i −0.163247 0.715233i −0.988594 0.150607i \(-0.951877\pi\)
0.825346 0.564627i \(-0.190980\pi\)
\(104\) −281574. + 584694.i −0.250318 + 0.519791i
\(105\) 969472. + 773128.i 0.837466 + 0.667857i
\(106\) −146762. + 117039.i −0.123224 + 0.0982679i
\(107\) 178084. + 85760.8i 0.145370 + 0.0700063i 0.505154 0.863029i \(-0.331436\pi\)
−0.359785 + 0.933035i \(0.617150\pi\)
\(108\) −22640.5 + 47013.5i −0.0179728 + 0.0373209i
\(109\) 158972. + 199345.i 0.122756 + 0.153931i 0.839412 0.543496i \(-0.182900\pi\)
−0.716656 + 0.697427i \(0.754328\pi\)
\(110\) 112349. 140881.i 0.0844095 0.105846i
\(111\) 1.21884e6 + 586962.i 0.891205 + 0.429182i
\(112\) 1.31898e6 301049.i 0.938826 0.214281i
\(113\) −219564. + 50114.1i −0.152169 + 0.0347316i −0.297927 0.954589i \(-0.596295\pi\)
0.145758 + 0.989320i \(0.453438\pi\)
\(114\) −385996. 307822.i −0.260536 0.207771i
\(115\) −710578. 1.47553e6i −0.467216 0.970185i
\(116\) −471517. 107621.i −0.302081 0.0689481i
\(117\) −2.59703e6 + 1.25066e6i −1.62151 + 0.780877i
\(118\) −201797. + 160928.i −0.122820 + 0.0979457i
\(119\) 21788.8 4973.14i 0.0129298 0.00295114i
\(120\) −432731. + 345091.i −0.250423 + 0.199706i
\(121\) −147010. + 644094.i −0.0829834 + 0.363574i
\(122\) −26875.8 −0.0148007
\(123\) 2.70540e6i 1.45384i
\(124\) 154612. 677401.i 0.0810922 0.355288i
\(125\) 1.63790e6 + 1.30618e6i 0.838605 + 0.668765i
\(126\) −285941. 137702.i −0.142944 0.0688381i
\(127\) 2.21342e6 1.06593e6i 1.08057 0.520374i 0.193070 0.981185i \(-0.438156\pi\)
0.887498 + 0.460811i \(0.152441\pi\)
\(128\) 1.23965e6i 0.591111i
\(129\) −2.82844e6 1.03778e6i −1.31758 0.483433i
\(130\) 471112. 0.214434
\(131\) −29164.2 60560.1i −0.0129729 0.0269385i 0.894382 0.447304i \(-0.147616\pi\)
−0.907355 + 0.420366i \(0.861902\pi\)
\(132\) 1.60041e6 3.32328e6i 0.695839 1.44492i
\(133\) 2.30063e6 2.88490e6i 0.977894 1.22624i
\(134\) −144060. 32880.8i −0.0598728 0.0136656i
\(135\) 76723.6 0.0311837
\(136\) 9975.69i 0.00396576i
\(137\) 33388.8 + 7620.78i 0.0129849 + 0.00296372i 0.229008 0.973424i \(-0.426452\pi\)
−0.216024 + 0.976388i \(0.569309\pi\)
\(138\) 530844. + 665658.i 0.201990 + 0.253287i
\(139\) 876000. + 3.83801e6i 0.326182 + 1.42910i 0.826345 + 0.563165i \(0.190416\pi\)
−0.500163 + 0.865931i \(0.666726\pi\)
\(140\) −1.27342e6 1.59682e6i −0.464074 0.581931i
\(141\) −3.28709e6 6.82572e6i −1.17261 2.43496i
\(142\) 118961. 521204.i 0.0415471 0.182030i
\(143\) −5.72924e6 + 2.75906e6i −1.95924 + 0.943523i
\(144\) −1.67235e6 + 2.09706e6i −0.560066 + 0.702300i
\(145\) 158238. + 693287.i 0.0519048 + 0.227410i
\(146\) −14296.3 62636.0i −0.00459371 0.0201264i
\(147\) 156138. 324225.i 0.0491539 0.102069i
\(148\) −1.74209e6 1.38927e6i −0.537384 0.428550i
\(149\) −1.71074e6 + 1.36427e6i −0.517161 + 0.412422i −0.846982 0.531621i \(-0.821583\pi\)
0.329821 + 0.944043i \(0.393012\pi\)
\(150\) −309625. 149108.i −0.0917408 0.0441800i
\(151\) 1.53948e6 3.19677e6i 0.447141 0.928498i −0.548581 0.836098i \(-0.684832\pi\)
0.995722 0.0924005i \(-0.0294540\pi\)
\(152\) 1.02690e6 + 1.28770e6i 0.292414 + 0.366676i
\(153\) −27626.1 + 34642.0i −0.00771339 + 0.00967228i
\(154\) −630808. 303781.i −0.172717 0.0831761i
\(155\) −996005. + 227332.i −0.267465 + 0.0610471i
\(156\) 9.40186e6 2.14591e6i 2.47651 0.565247i
\(157\) 4.34010e6 + 3.46111e6i 1.12150 + 0.894369i 0.995223 0.0976252i \(-0.0311246\pi\)
0.126280 + 0.991995i \(0.459696\pi\)
\(158\) 18642.3 + 38711.1i 0.00472637 + 0.00981441i
\(159\) 5.50814e6 + 1.25720e6i 1.37029 + 0.312760i
\(160\) 1.23719e6 595801.i 0.302049 0.145459i
\(161\) −4.97506e6 + 3.96748e6i −1.19212 + 0.950686i
\(162\) −671468. + 153258.i −0.157936 + 0.0360478i
\(163\) −1.30371e6 + 1.03968e6i −0.301036 + 0.240068i −0.762344 0.647172i \(-0.775952\pi\)
0.461308 + 0.887240i \(0.347380\pi\)
\(164\) −991567. + 4.34434e6i −0.224797 + 0.984900i
\(165\) −5.42341e6 −1.20732
\(166\) 880348.i 0.192455i
\(167\) 839800. 3.67941e6i 0.180313 0.790002i −0.801168 0.598440i \(-0.795788\pi\)
0.981480 0.191562i \(-0.0613553\pi\)
\(168\) 1.68138e6 + 1.34085e6i 0.354599 + 0.282783i
\(169\) −1.06301e7 5.11920e6i −2.20231 1.06058i
\(170\) 6524.66 3142.11i 0.00132804 0.000639550i
\(171\) 7.31556e6i 1.46305i
\(172\) 4.16157e6 + 2.70314e6i 0.817846 + 0.531230i
\(173\) 4.23774e6 0.818457 0.409228 0.912432i \(-0.365798\pi\)
0.409228 + 0.912432i \(0.365798\pi\)
\(174\) −160403. 333081.i −0.0304485 0.0632270i
\(175\) 1.11442e6 2.31411e6i 0.207938 0.431787i
\(176\) −3.68932e6 + 4.62627e6i −0.676720 + 0.848579i
\(177\) 7.57368e6 + 1.72864e6i 1.36580 + 0.311735i
\(178\) −64773.5 −0.0114852
\(179\) 9.33161e6i 1.62704i −0.581539 0.813518i \(-0.697549\pi\)
0.581539 0.813518i \(-0.302451\pi\)
\(180\) 3.94771e6 + 901038.i 0.676904 + 0.154499i
\(181\) 2.50823e6 + 3.14522e6i 0.422991 + 0.530414i 0.946972 0.321316i \(-0.104125\pi\)
−0.523981 + 0.851730i \(0.675554\pi\)
\(182\) −407327. 1.78461e6i −0.0675660 0.296026i
\(183\) 504340. + 632423.i 0.0822944 + 0.103194i
\(184\) −1.23237e6 2.55905e6i −0.197828 0.410794i
\(185\) −729026. + 3.19407e6i −0.115141 + 0.504464i
\(186\) 478518. 230442.i 0.0743635 0.0358116i
\(187\) −60945.3 + 76422.9i −0.00931998 + 0.0116869i
\(188\) 2.77670e6 + 1.21655e7i 0.417884 + 1.83087i
\(189\) −66335.6 290635.i −0.00982565 0.0430490i
\(190\) 518775. 1.07725e6i 0.0756342 0.157056i
\(191\) 2.62492e6 + 2.09330e6i 0.376718 + 0.300422i 0.793484 0.608592i \(-0.208265\pi\)
−0.416766 + 0.909014i \(0.636837\pi\)
\(192\) 6.63597e6 5.29201e6i 0.937564 0.747682i
\(193\) −1.79171e6 862843.i −0.249228 0.120022i 0.305100 0.952320i \(-0.401310\pi\)
−0.554328 + 0.832299i \(0.687024\pi\)
\(194\) −755526. + 1.56887e6i −0.103477 + 0.214872i
\(195\) −8.84069e6 1.10859e7i −1.19229 1.49509i
\(196\) −369561. + 463415.i −0.0490815 + 0.0615462i
\(197\) 1.56476e6 + 753550.i 0.204668 + 0.0985629i 0.533410 0.845857i \(-0.320910\pi\)
−0.328742 + 0.944420i \(0.606625\pi\)
\(198\) 1.35329e6 308879.i 0.174339 0.0397917i
\(199\) −8.46259e6 + 1.93153e6i −1.07385 + 0.245100i −0.722660 0.691204i \(-0.757081\pi\)
−0.351192 + 0.936304i \(0.614223\pi\)
\(200\) 896334. + 714802.i 0.112042 + 0.0893503i
\(201\) 1.92964e6 + 4.00695e6i 0.237623 + 0.493430i
\(202\) 1.92026e6 + 438288.i 0.232974 + 0.0531747i
\(203\) 2.48942e6 1.19884e6i 0.297584 0.143309i
\(204\) 115899. 92426.0i 0.0136517 0.0108869i
\(205\) 6.38762e6 1.45793e6i 0.741443 0.169229i
\(206\) −789106. + 629291.i −0.0902680 + 0.0719863i
\(207\) 2.80728e6 1.22995e7i 0.316501 1.38668i
\(208\) −1.54704e7 −1.71914
\(209\) 1.61387e7i 1.76778i
\(210\) 347399. 1.52205e6i 0.0375120 0.164351i
\(211\) 869996. + 693799.i 0.0926126 + 0.0738561i 0.668702 0.743531i \(-0.266850\pi\)
−0.576089 + 0.817387i \(0.695422\pi\)
\(212\) −8.38421e6 4.03762e6i −0.879943 0.423758i
\(213\) −1.44970e7 + 6.98137e6i −1.50016 + 0.722440i
\(214\) 248857.i 0.0253927i
\(215\) 926026. 7.23740e6i 0.0931768 0.728228i
\(216\) 133063. 0.0132038
\(217\) 1.72230e6 + 3.57640e6i 0.168551 + 0.349999i
\(218\) 139284. 289226.i 0.0134441 0.0279169i
\(219\) −1.20563e6 + 1.51181e6i −0.114784 + 0.143934i
\(220\) 8.70894e6 + 1.98776e6i 0.817894 + 0.186679i
\(221\) −255561. −0.0236765
\(222\) 1.70323e6i 0.155673i
\(223\) −1.32845e7 3.03210e6i −1.19793 0.273419i −0.423389 0.905948i \(-0.639160\pi\)
−0.774537 + 0.632529i \(0.782017\pi\)
\(224\) −3.32663e6 4.17146e6i −0.295978 0.371145i
\(225\) 1.13312e6 + 4.96451e6i 0.0994781 + 0.435842i
\(226\) 176788. + 221686.i 0.0153154 + 0.0192049i
\(227\) −8.87606e6 1.84313e7i −0.758827 1.57572i −0.816473 0.577384i \(-0.804074\pi\)
0.0576460 0.998337i \(-0.481641\pi\)
\(228\) 5.44620e6 2.38613e7i 0.459503 2.01322i
\(229\) 1.74117e7 8.38504e6i 1.44989 0.698230i 0.467314 0.884091i \(-0.345222\pi\)
0.982576 + 0.185861i \(0.0595074\pi\)
\(230\) −1.28559e6 + 1.61208e6i −0.105662 + 0.132496i
\(231\) 4.68911e6 + 2.05443e7i 0.380412 + 1.66670i
\(232\) 274436. + 1.20238e6i 0.0219775 + 0.0962896i
\(233\) 916060. 1.90222e6i 0.0724196 0.150381i −0.861616 0.507561i \(-0.830547\pi\)
0.934036 + 0.357180i \(0.116262\pi\)
\(234\) 2.83736e6 + 2.26272e6i 0.221446 + 0.176597i
\(235\) 1.43446e7 1.14394e7i 1.10531 0.881455i
\(236\) −1.15283e7 5.55173e6i −0.877058 0.422369i
\(237\) 561089. 1.16511e6i 0.0421489 0.0875231i
\(238\) −17543.8 21999.3i −0.00130135 0.00163184i
\(239\) 5.01144e6 6.28414e6i 0.367086 0.460312i −0.563644 0.826018i \(-0.690601\pi\)
0.930730 + 0.365706i \(0.119172\pi\)
\(240\) −1.18877e7 5.72480e6i −0.859930 0.414121i
\(241\) 4.32680e6 987564.i 0.309112 0.0705528i −0.0651509 0.997875i \(-0.520753\pi\)
0.374263 + 0.927323i \(0.377896\pi\)
\(242\) 810932. 185090.i 0.0572188 0.0130598i
\(243\) 1.57303e7 + 1.25445e7i 1.09627 + 0.874249i
\(244\) −578080. 1.20040e6i −0.0397941 0.0826332i
\(245\) 849659. + 193929.i 0.0577758 + 0.0131870i
\(246\) −3.06885e6 + 1.47788e6i −0.206144 + 0.0992738i
\(247\) −3.29887e7 + 2.63076e7i −2.18915 + 1.74579i
\(248\) −1.72739e6 + 394267.i −0.113250 + 0.0258485i
\(249\) 2.07157e7 1.65202e7i 1.34184 1.07008i
\(250\) 586922. 2.57148e6i 0.0375630 0.164574i
\(251\) −8.55510e6 −0.541008 −0.270504 0.962719i \(-0.587190\pi\)
−0.270504 + 0.962719i \(0.587190\pi\)
\(252\) 1.57333e7i 0.983146i
\(253\) 6.19308e6 2.71337e7i 0.382424 1.67551i
\(254\) −2.41826e6 1.92849e6i −0.147571 0.117684i
\(255\) −196377. 94570.1i −0.0118432 0.00570339i
\(256\) −1.15094e7 + 5.54262e6i −0.686012 + 0.330366i
\(257\) 2.31485e7i 1.36372i 0.731484 + 0.681858i \(0.238828\pi\)
−0.731484 + 0.681858i \(0.761172\pi\)
\(258\) 367898. + 3.77534e6i 0.0214224 + 0.219835i
\(259\) 1.27297e7 0.732690
\(260\) 1.01333e7 + 2.10420e7i 0.576541 + 1.19720i
\(261\) −2.37679e6 + 4.93546e6i −0.133681 + 0.277592i
\(262\) −52764.5 + 66164.6i −0.00293385 + 0.00367893i
\(263\) 3.12777e7 + 7.13892e6i 1.71936 + 0.392433i 0.964631 0.263603i \(-0.0849108\pi\)
0.754730 + 0.656036i \(0.227768\pi\)
\(264\) −9.40595e6 −0.511200
\(265\) 1.36826e7i 0.735242i
\(266\) −4.52924e6 1.03377e6i −0.240647 0.0549261i
\(267\) 1.21551e6 + 1.52420e6i 0.0638595 + 0.0800773i
\(268\) −1.63003e6 7.14162e6i −0.0846819 0.371016i
\(269\) −2.55565e6 3.20469e6i −0.131294 0.164638i 0.711839 0.702343i \(-0.247863\pi\)
−0.843133 + 0.537705i \(0.819291\pi\)
\(270\) −41911.9 87031.0i −0.00212935 0.00442163i
\(271\) 2.92857e6 1.28309e7i 0.147146 0.644687i −0.846525 0.532350i \(-0.821309\pi\)
0.993670 0.112337i \(-0.0358336\pi\)
\(272\) −214257. + 103181.i −0.0106470 + 0.00512734i
\(273\) −3.43505e7 + 4.30742e7i −1.68828 + 2.11704i
\(274\) −9594.77 42037.4i −0.000466426 0.00204355i
\(275\) 2.49974e6 + 1.09521e7i 0.120198 + 0.526622i
\(276\) −1.83132e7 + 3.80277e7i −0.871037 + 1.80873i
\(277\) −2.26876e7 1.80927e7i −1.06745 0.851265i −0.0781203 0.996944i \(-0.524892\pi\)
−0.989332 + 0.145679i \(0.953463\pi\)
\(278\) 3.87509e6 3.09028e6i 0.180363 0.143835i
\(279\) −7.09049e6 3.41460e6i −0.326485 0.157227i
\(280\) −2.25975e6 + 4.69243e6i −0.102941 + 0.213758i
\(281\) 1.16511e6 + 1.46101e6i 0.0525109 + 0.0658466i 0.807393 0.590013i \(-0.200878\pi\)
−0.754882 + 0.655860i \(0.772306\pi\)
\(282\) −5.94707e6 + 7.45740e6i −0.265189 + 0.332537i
\(283\) 3.27468e7 + 1.57700e7i 1.44480 + 0.695781i 0.981684 0.190514i \(-0.0610156\pi\)
0.463120 + 0.886296i \(0.346730\pi\)
\(284\) 2.58381e7 5.89737e6i 1.12799 0.257456i
\(285\) −3.50841e7 + 8.00772e6i −1.51557 + 0.345919i
\(286\) 6.25944e6 + 4.99174e6i 0.267570 + 0.213380i
\(287\) −1.10455e7 2.29363e7i −0.467242 0.970237i
\(288\) 1.03128e7 + 2.35383e6i 0.431718 + 0.0985368i
\(289\) 2.17437e7 1.04712e7i 0.900822 0.433813i
\(290\) 699986. 558220.i 0.0287009 0.0228882i
\(291\) 5.10953e7 1.16622e7i 2.07349 0.473261i
\(292\) 2.49010e6 1.98579e6i 0.100016 0.0797599i
\(293\) −6.73712e6 + 2.95172e7i −0.267837 + 1.17347i 0.644686 + 0.764448i \(0.276988\pi\)
−0.912523 + 0.409025i \(0.865869\pi\)
\(294\) −453077. −0.0178291
\(295\) 1.88135e7i 0.732832i
\(296\) −1.26437e6 + 5.53956e6i −0.0487526 + 0.213599i
\(297\) 1.01939e6 + 812935.i 0.0389108 + 0.0310303i
\(298\) 2.48208e6 + 1.19531e6i 0.0937924 + 0.0451680i
\(299\) 6.55587e7 3.15714e7i 2.45254 1.18108i
\(300\) 1.70364e7i 0.630979i
\(301\) −2.82165e7 + 2.74963e6i −1.03468 + 0.100827i
\(302\) −4.46722e6 −0.162187
\(303\) −2.57214e7 5.34110e7i −0.924627 1.92001i
\(304\) −1.70355e7 + 3.53747e7i −0.606367 + 1.25913i
\(305\) −1.22140e6 + 1.53159e6i −0.0430487 + 0.0539813i
\(306\) 54387.4 + 12413.6i 0.00189816 + 0.000433244i
\(307\) 3.50302e7 1.21067 0.605337 0.795970i \(-0.293039\pi\)
0.605337 + 0.795970i \(0.293039\pi\)
\(308\) 3.47088e7i 1.18792i
\(309\) 2.96161e7 + 6.75967e6i 1.00381 + 0.229113i
\(310\) 801962. + 1.00563e6i 0.0269196 + 0.0337561i
\(311\) −2.96935e6 1.30096e7i −0.0987144 0.432496i 0.901285 0.433226i \(-0.142625\pi\)
−1.00000 0.000729893i \(0.999768\pi\)
\(312\) −1.53326e7 1.92265e7i −0.504839 0.633048i
\(313\) −8.54875e6 1.77517e7i −0.278785 0.578903i 0.713815 0.700335i \(-0.246966\pi\)
−0.992600 + 0.121431i \(0.961252\pi\)
\(314\) 1.55522e6 6.81388e6i 0.0502347 0.220093i
\(315\) −2.08423e7 + 1.00371e7i −0.666827 + 0.321127i
\(316\) −1.32803e6 + 1.66530e6i −0.0420868 + 0.0527752i
\(317\) −961126. 4.21097e6i −0.0301719 0.132192i 0.957599 0.288105i \(-0.0930251\pi\)
−0.987771 + 0.155913i \(0.950168\pi\)
\(318\) −1.58284e6 6.93490e6i −0.0492217 0.215655i
\(319\) −5.24339e6 + 1.08880e7i −0.161525 + 0.335410i
\(320\) 1.60709e7 + 1.28161e7i 0.490445 + 0.391117i
\(321\) −5.85593e6 + 4.66995e6i −0.177044 + 0.141188i
\(322\) 7.21823e6 + 3.47611e6i 0.216204 + 0.104118i
\(323\) −281416. + 584367.i −0.00835106 + 0.0173412i
\(324\) −2.12880e7 2.66943e7i −0.625892 0.784844i
\(325\) −1.83121e7 + 2.29626e7i −0.533443 + 0.668916i
\(326\) 1.89153e6 + 910914.i 0.0545960 + 0.0262920i
\(327\) −9.41959e6 + 2.14996e6i −0.269395 + 0.0614876i
\(328\) 1.10782e7 2.52853e6i 0.313941 0.0716549i
\(329\) −5.57359e7 4.44479e7i −1.56512 1.24814i
\(330\) 2.96266e6 + 6.15202e6i 0.0824403 + 0.171189i
\(331\) 2.66289e7 + 6.07787e6i 0.734293 + 0.167598i 0.573286 0.819356i \(-0.305669\pi\)
0.161007 + 0.986953i \(0.448526\pi\)
\(332\) −3.93203e7 + 1.89356e7i −1.07449 + 0.517447i
\(333\) −1.97316e7 + 1.57355e7i −0.534356 + 0.426134i
\(334\) −4.63247e6 + 1.05733e6i −0.124329 + 0.0283774i
\(335\) −8.42079e6 + 6.71535e6i −0.223985 + 0.178622i
\(336\) −1.14079e7 + 4.99812e7i −0.300737 + 1.31762i
\(337\) 196459. 0.00513313 0.00256657 0.999997i \(-0.499183\pi\)
0.00256657 + 0.999997i \(0.499183\pi\)
\(338\) 1.48547e7i 0.384693i
\(339\) 1.89901e6 8.32011e6i 0.0487448 0.213565i
\(340\) 280682. + 223836.i 0.00714130 + 0.00569499i
\(341\) −1.56422e7 7.53287e6i −0.394488 0.189975i
\(342\) 8.29837e6 3.99628e6i 0.207450 0.0999029i
\(343\) 3.85644e7i 0.955662i
\(344\) 1.60603e6 1.25520e7i 0.0394528 0.308345i
\(345\) 6.20592e7 1.51129
\(346\) −2.31496e6 4.80706e6i −0.0558875 0.116052i
\(347\) 3.01722e7 6.26532e7i 0.722135 1.49953i −0.138530 0.990358i \(-0.544238\pi\)
0.860665 0.509171i \(-0.170048\pi\)
\(348\) 1.14267e7 1.43287e7i 0.271134 0.339992i
\(349\) −6.19651e7 1.41431e7i −1.45771 0.332712i −0.581066 0.813856i \(-0.697364\pi\)
−0.876642 + 0.481144i \(0.840222\pi\)
\(350\) −3.23377e6 −0.0754232
\(351\) 3.40887e6i 0.0788297i
\(352\) 2.27509e7 + 5.19274e6i 0.521639 + 0.119061i
\(353\) −2.88576e7 3.61863e7i −0.656049 0.822660i 0.336858 0.941556i \(-0.390636\pi\)
−0.992907 + 0.118896i \(0.962064\pi\)
\(354\) −2.17641e6 9.53548e6i −0.0490604 0.214948i
\(355\) −2.42959e7 3.04660e7i −0.543059 0.680975i
\(356\) −1.39323e6 2.89308e6i −0.0308797 0.0641224i
\(357\) −188451. + 825658.i −0.00414185 + 0.0181466i
\(358\) −1.05853e7 + 5.09759e6i −0.230703 + 0.111101i
\(359\) 3.12019e6 3.91260e6i 0.0674369 0.0845633i −0.746969 0.664859i \(-0.768492\pi\)
0.814406 + 0.580296i \(0.197063\pi\)
\(360\) −2.29768e6 1.00668e7i −0.0492472 0.215766i
\(361\) 1.33602e7 + 5.85349e7i 0.283983 + 1.24421i
\(362\) 2.19759e6 4.56334e6i 0.0463256 0.0961961i
\(363\) −1.95730e7 1.56090e7i −0.409202 0.326328i
\(364\) 7.09476e7 5.65788e7i 1.47107 1.17314i
\(365\) −4.21919e6 2.03186e6i −0.0867662 0.0417844i
\(366\) 441879. 917571.i 0.00901280 0.0187153i
\(367\) −2.53582e7 3.17981e7i −0.513003 0.643285i 0.456104 0.889926i \(-0.349244\pi\)
−0.969107 + 0.246641i \(0.920673\pi\)
\(368\) 4.22163e7 5.29376e7i 0.847104 1.06223i
\(369\) 4.54730e7 + 2.18987e7i 0.905055 + 0.435851i
\(370\) 4.02143e6 917865.i 0.0793917 0.0181206i
\(371\) 5.18308e7 1.18300e7i 1.01500 0.231667i
\(372\) 2.05852e7 + 1.64161e7i 0.399876 + 0.318891i
\(373\) −1.65472e7 3.43606e7i −0.318858 0.662116i 0.678512 0.734589i \(-0.262625\pi\)
−0.997370 + 0.0724732i \(0.976911\pi\)
\(374\) 119983. + 27385.3i 0.00229353 + 0.000523482i
\(375\) −7.15240e7 + 3.44442e7i −1.35631 + 0.653163i
\(376\) 2.48781e7 1.98396e7i 0.468009 0.373225i
\(377\) −3.08032e7 + 7.03062e6i −0.574872 + 0.131211i
\(378\) −293444. + 234013.i −0.00543312 + 0.00433277i
\(379\) −1.23252e7 + 5.40004e7i −0.226401 + 0.991926i 0.726148 + 0.687539i \(0.241309\pi\)
−0.952548 + 0.304387i \(0.901548\pi\)
\(380\) 5.92732e7 1.08021
\(381\) 9.30939e7i 1.68324i
\(382\) 940609. 4.12108e6i 0.0168740 0.0739300i
\(383\) 5.21638e7 + 4.15992e7i 0.928481 + 0.740439i 0.965915 0.258860i \(-0.0833469\pi\)
−0.0374339 + 0.999299i \(0.511918\pi\)
\(384\) −4.23230e7 2.03817e7i −0.747452 0.359954i
\(385\) −4.59796e7 + 2.21426e7i −0.805718 + 0.388013i
\(386\) 2.50377e6i 0.0435344i
\(387\) 4.03379e7 3.91410e7i 0.695955 0.675303i
\(388\) −8.63234e7 −1.47786
\(389\) −3.23502e7 6.71759e7i −0.549577 1.14121i −0.972037 0.234827i \(-0.924548\pi\)
0.422461 0.906381i \(-0.361166\pi\)
\(390\) −7.74579e6 + 1.60843e7i −0.130579 + 0.271149i
\(391\) 697386. 874495.i 0.0116666 0.0146294i
\(392\) 1.47358e6 + 336336.i 0.0244634 + 0.00558361i
\(393\) 2.54709e6 0.0419630
\(394\) 2.18663e6i 0.0357508i
\(395\) 3.05328e6 + 696891.i 0.0495422 + 0.0113077i
\(396\) 4.29042e7 + 5.38001e7i 0.690898 + 0.866359i
\(397\) 1.23395e7 + 5.40627e7i 0.197208 + 0.864025i 0.972589 + 0.232531i \(0.0747008\pi\)
−0.775381 + 0.631494i \(0.782442\pi\)
\(398\) 6.81390e6 + 8.54436e6i 0.108080 + 0.135528i
\(399\) 6.06678e7 + 1.25978e8i 0.955080 + 1.98324i
\(400\) −6.08149e6 + 2.66448e7i −0.0950233 + 0.416324i
\(401\) 3.92179e7 1.88864e7i 0.608207 0.292897i −0.104318 0.994544i \(-0.533266\pi\)
0.712525 + 0.701647i \(0.247552\pi\)
\(402\) 3.49115e6 4.37777e6i 0.0537391 0.0673867i
\(403\) −1.01005e7 4.42531e7i −0.154322 0.676128i
\(404\) 2.17276e7 + 9.51949e7i 0.329509 + 1.44368i
\(405\) −2.17818e7 + 4.52304e7i −0.327891 + 0.680872i
\(406\) −2.71980e6 2.16897e6i −0.0406404 0.0324097i
\(407\) −4.35295e7 + 3.47136e7i −0.645655 + 0.514892i
\(408\) −340581. 164015.i −0.00501464 0.00241492i
\(409\) −1.01480e7 + 2.10726e7i −0.148324 + 0.307998i −0.961872 0.273500i \(-0.911819\pi\)
0.813548 + 0.581498i \(0.197533\pi\)
\(410\) −5.14318e6 6.44934e6i −0.0746242 0.0935758i
\(411\) −809143. + 1.01463e6i −0.0116547 + 0.0146145i
\(412\) −4.50801e7 2.17094e7i −0.644604 0.310425i
\(413\) 7.12672e7 1.62663e7i 1.01167 0.230908i
\(414\) −1.54854e7 + 3.53445e6i −0.218234 + 0.0498105i
\(415\) 5.01690e7 + 4.00084e7i 0.701926 + 0.559767i
\(416\) 2.64718e7 + 5.49692e7i 0.367708 + 0.763554i
\(417\) −1.45437e8 3.31949e7i −2.00570 0.457787i
\(418\) 1.83068e7 8.81611e6i 0.250660 0.120711i
\(419\) −5.16810e7 + 4.12142e7i −0.702569 + 0.560280i −0.908295 0.418330i \(-0.862616\pi\)
0.205727 + 0.978610i \(0.434044\pi\)
\(420\) 7.54540e7 1.72219e7i 1.01844 0.232452i
\(421\) −3.17318e7 + 2.53053e7i −0.425254 + 0.339129i −0.812616 0.582799i \(-0.801958\pi\)
0.387363 + 0.921927i \(0.373386\pi\)
\(422\) 311753. 1.36588e6i 0.00414833 0.0181750i
\(423\) 1.41336e8 1.86737
\(424\) 2.37300e7i 0.311315i
\(425\) −100462. + 440154.i −0.00130869 + 0.00573374i
\(426\) 1.58386e7 + 1.26308e7i 0.204874 + 0.163382i
\(427\) 6.85784e6 + 3.30256e6i 0.0880853 + 0.0424196i
\(428\) 1.11151e7 5.35274e6i 0.141769 0.0682724i
\(429\) 2.40965e8i 3.05199i
\(430\) −8.71557e6 + 2.90316e6i −0.109620 + 0.0365145i
\(431\) −7.56861e7 −0.945332 −0.472666 0.881242i \(-0.656708\pi\)
−0.472666 + 0.881242i \(0.656708\pi\)
\(432\) 1.37631e6 + 2.85793e6i 0.0170712 + 0.0354487i
\(433\) −2.90796e7 + 6.03843e7i −0.358199 + 0.743808i −0.999729 0.0232905i \(-0.992586\pi\)
0.641530 + 0.767098i \(0.278300\pi\)
\(434\) 3.11603e6 3.90737e6i 0.0381182 0.0477987i
\(435\) −2.62713e7 5.99624e6i −0.319163 0.0728470i
\(436\) 1.59140e7 0.192008
\(437\) 1.84672e8i 2.21288i
\(438\) 2.37351e6 + 541739.i 0.0282468 + 0.00644715i
\(439\) −8.23633e7 1.03280e8i −0.973509 1.22074i −0.975332 0.220743i \(-0.929152\pi\)
0.00182303 0.999998i \(-0.499420\pi\)
\(440\) −5.06885e6 2.22081e7i −0.0595047 0.260707i
\(441\) 4.18580e6 + 5.24883e6i 0.0488049 + 0.0611994i
\(442\) 139606. + 289895.i 0.00161673 + 0.00335717i
\(443\) −1.79005e7 + 7.84274e7i −0.205899 + 0.902104i 0.761363 + 0.648326i \(0.224530\pi\)
−0.967262 + 0.253778i \(0.918327\pi\)
\(444\) 7.60737e7 3.66352e7i 0.869132 0.418552i
\(445\) −2.94371e6 + 3.69130e6i −0.0334053 + 0.0418889i
\(446\) 3.81749e6 + 1.67255e7i 0.0430302 + 0.188528i
\(447\) −1.84506e7 8.08373e7i −0.206580 0.905084i
\(448\) 3.46535e7 7.19588e7i 0.385402 0.800295i
\(449\) 2.89741e7 + 2.31061e7i 0.320090 + 0.255263i 0.770331 0.637644i \(-0.220091\pi\)
−0.450242 + 0.892907i \(0.648662\pi\)
\(450\) 5.01248e6 3.99732e6i 0.0550066 0.0438663i
\(451\) 1.00317e8 + 4.83101e7i 1.09357 + 0.526633i
\(452\) −6.09888e6 + 1.26645e7i −0.0660442 + 0.137142i
\(453\) 8.38299e7 + 1.05119e8i 0.901788 + 1.13081i
\(454\) −1.60588e7 + 2.01370e7i −0.171611 + 0.215193i
\(455\) −1.20212e8 5.78913e7i −1.27619 0.614581i
\(456\) −6.08472e7 + 1.38880e7i −0.641720 + 0.146469i
\(457\) 2.53907e7 5.79525e6i 0.266027 0.0607189i −0.0874268 0.996171i \(-0.527864\pi\)
0.353454 + 0.935452i \(0.385007\pi\)
\(458\) −1.90231e7 1.51704e7i −0.198009 0.157907i
\(459\) 22735.7 + 47211.1i 0.000235109 + 0.000488210i
\(460\) −9.96549e7 2.27456e7i −1.02382 0.233681i
\(461\) 1.04976e8 5.05537e7i 1.07149 0.516001i 0.186901 0.982379i \(-0.440156\pi\)
0.884585 + 0.466378i \(0.154441\pi\)
\(462\) 2.07428e7 1.65419e7i 0.210350 0.167748i
\(463\) 1.24676e8 2.84566e7i 1.25615 0.286708i 0.457883 0.889013i \(-0.348608\pi\)
0.798266 + 0.602305i \(0.205751\pi\)
\(464\) −2.29862e7 + 1.83308e7i −0.230098 + 0.183497i
\(465\) 8.61445e6 3.77424e7i 0.0856779 0.375379i
\(466\) −2.65819e6 −0.0262681
\(467\) 1.70947e8i 1.67846i −0.543778 0.839229i \(-0.683007\pi\)
0.543778 0.839229i \(-0.316993\pi\)
\(468\) −4.00337e7 + 1.75399e8i −0.390560 + 1.71116i
\(469\) 3.27190e7 + 2.60925e7i 0.317162 + 0.252928i
\(470\) −2.08123e7 1.00227e7i −0.200459 0.0965360i
\(471\) −1.89524e8 + 9.12699e7i −1.81385 + 0.873504i
\(472\) 3.26287e7i 0.310295i
\(473\) 8.89886e7 8.63480e7i 0.840912 0.815960i
\(474\) −1.62815e6 −0.0152883
\(475\) 3.23417e7 + 6.71583e7i 0.301774 + 0.626641i
\(476\) 605231. 1.25678e6i 0.00561178 0.0116530i
\(477\) −6.57165e7 + 8.24059e7i −0.605507 + 0.759282i
\(478\) −9.86599e6 2.25185e6i −0.0903352 0.0206184i
\(479\) −1.57527e8 −1.43334 −0.716669 0.697413i \(-0.754334\pi\)
−0.716669 + 0.697413i \(0.754334\pi\)
\(480\) 5.20350e7i 0.470513i
\(481\) −1.41915e8 3.23911e7i −1.27524 0.291065i
\(482\) −3.48385e6 4.36861e6i −0.0311113 0.0390123i
\(483\) −5.36567e7 2.35085e8i −0.476193 2.08634i
\(484\) 2.57095e7 + 3.22387e7i 0.226755 + 0.284342i
\(485\) 5.50703e7 + 1.14355e8i 0.482717 + 1.00237i
\(486\) 5.63678e6 2.46964e7i 0.0491046 0.215141i
\(487\) −1.39787e6 + 673179.i −0.0121026 + 0.00582832i −0.439925 0.898034i \(-0.644995\pi\)
0.427823 + 0.903863i \(0.359281\pi\)
\(488\) −2.11831e6 + 2.65628e6i −0.0182276 + 0.0228567i
\(489\) −1.40607e7 6.16040e7i −0.120249 0.526844i
\(490\) −244162. 1.06974e6i −0.00207534 0.00909268i
\(491\) −3.52107e7 + 7.31159e7i −0.297461 + 0.617685i −0.995112 0.0987531i \(-0.968515\pi\)
0.697650 + 0.716438i \(0.254229\pi\)
\(492\) −1.32018e8 1.05281e8i −1.10850 0.884001i
\(493\) −379717. + 302814.i −0.00316898 + 0.00252717i
\(494\) 4.78627e7 + 2.30495e7i 0.397024 + 0.191197i
\(495\) 4.38995e7 9.11582e7i 0.361946 0.751588i
\(496\) −2.63349e7 3.30229e7i −0.215817 0.270626i
\(497\) −9.44016e7 + 1.18376e8i −0.768972 + 0.964260i
\(498\) −3.00560e7 1.44742e7i −0.243357 0.117195i
\(499\) −1.25723e8 + 2.86955e7i −1.01184 + 0.230947i −0.696137 0.717909i \(-0.745099\pi\)
−0.315708 + 0.948856i \(0.602242\pi\)
\(500\) 1.27478e8 2.90960e7i 1.01982 0.232768i
\(501\) 1.11811e8 + 8.91666e7i 0.889146 + 0.709070i
\(502\) 4.67341e6 + 9.70443e6i 0.0369422 + 0.0767112i
\(503\) −9.91312e7 2.26261e7i −0.778944 0.177789i −0.185479 0.982648i \(-0.559384\pi\)
−0.593466 + 0.804859i \(0.702241\pi\)
\(504\) −3.61472e7 + 1.74076e7i −0.282347 + 0.135971i
\(505\) 1.12246e8 8.95130e7i 0.871557 0.695043i
\(506\) −3.41620e7 + 7.79726e6i −0.263689 + 0.0601853i
\(507\) 3.49551e8 2.78757e8i 2.68217 2.13896i
\(508\) 3.41203e7 1.49491e8i 0.260268 1.14031i
\(509\) 1.43925e8 1.09140 0.545698 0.837982i \(-0.316265\pi\)
0.545698 + 0.837982i \(0.316265\pi\)
\(510\) 274420.i 0.00206874i
\(511\) −4.04890e6 + 1.77394e7i −0.0303441 + 0.132946i
\(512\) 7.46031e7 + 5.94940e7i 0.555837 + 0.443265i
\(513\) 7.79474e6 + 3.75375e6i 0.0577364 + 0.0278044i
\(514\) 2.62584e7 1.26454e7i 0.193366 0.0931200i
\(515\) 7.35682e7i 0.538603i
\(516\) −1.60710e8 + 9.76368e7i −1.16976 + 0.710664i
\(517\) 3.11797e8 2.25632
\(518\) −6.95390e6 1.44399e7i −0.0500310 0.103890i
\(519\) −6.96747e7 + 1.44681e8i −0.498394 + 1.03493i
\(520\) 3.71323e7 4.65625e7i 0.264084 0.331151i
\(521\) −1.86853e8 4.26479e7i −1.32125 0.301567i −0.496981 0.867761i \(-0.665558\pi\)
−0.824272 + 0.566194i \(0.808415\pi\)
\(522\) 6.89689e6 0.0484889
\(523\) 2.40414e8i 1.68056i 0.542153 + 0.840280i \(0.317609\pi\)
−0.542153 + 0.840280i \(0.682391\pi\)
\(524\) −4.09013e6 933546.i −0.0284278 0.00648846i
\(525\) 6.06835e7 + 7.60948e7i 0.419366 + 0.525868i
\(526\) −8.98811e6 3.93795e7i −0.0617605 0.270591i
\(527\) −435035. 545517.i −0.00297230 0.00372714i
\(528\) −9.72878e7 2.02020e8i −0.660932 1.37244i
\(529\) −3.79253e7 + 1.66162e8i −0.256190 + 1.12244i
\(530\) 1.55208e7 7.47440e6i 0.104252 0.0502052i
\(531\) −9.03602e7 + 1.13308e8i −0.603522 + 0.756793i
\(532\) −5.12479e7 2.24532e8i −0.340362 1.49122i
\(533\) 6.47768e7 + 2.83806e8i 0.427797 + 1.87430i
\(534\) 1.06497e6 2.21144e6i 0.00699383 0.0145228i
\(535\) −1.41818e7 1.13096e7i −0.0926127 0.0738562i
\(536\) −1.46044e7 + 1.16466e7i −0.0948393 + 0.0756318i
\(537\) 3.18591e8 + 1.53426e8i 2.05736 + 0.990774i
\(538\) −2.23914e6 + 4.64962e6i −0.0143792 + 0.0298587i
\(539\) 9.23420e6 + 1.15793e7i 0.0589702 + 0.0739464i
\(540\) 2.98570e6 3.74395e6i 0.0189612 0.0237765i
\(541\) −1.58639e8 7.63964e7i −1.00188 0.482482i −0.140307 0.990108i \(-0.544809\pi\)
−0.861578 + 0.507626i \(0.830523\pi\)
\(542\) −1.61544e7 + 3.68715e6i −0.101460 + 0.0231575i
\(543\) −1.48620e8 + 3.39216e7i −0.928279 + 0.211874i
\(544\) 733241. + 584740.i 0.00455460 + 0.00363217i
\(545\) −1.01524e7 2.10817e7i −0.0627161 0.130231i
\(546\) 6.76257e7 + 1.54351e7i 0.415465 + 0.0948271i
\(547\) 1.32866e8 6.39850e7i 0.811807 0.390945i 0.0185462 0.999828i \(-0.494096\pi\)
0.793260 + 0.608883i \(0.208382\pi\)
\(548\) 1.67120e6 1.33274e6i 0.0101552 0.00809849i
\(549\) −1.47123e7 + 3.35798e6i −0.0889125 + 0.0202937i
\(550\) 1.10579e7 8.81839e6i 0.0664638 0.0530031i
\(551\) −1.78433e7 + 7.81765e7i −0.106664 + 0.467328i
\(552\) 1.07631e8 0.639910
\(553\) 1.21686e7i 0.0719558i
\(554\) −8.12982e6 + 3.56191e7i −0.0478136 + 0.209485i
\(555\) −9.70629e7 7.74051e7i −0.567773 0.452783i
\(556\) 2.21376e8 + 1.06609e8i 1.28797 + 0.620255i
\(557\) −3.55349e7 + 1.71127e7i −0.205632 + 0.0990270i −0.533865 0.845570i \(-0.679261\pi\)
0.328233 + 0.944597i \(0.393547\pi\)
\(558\) 9.90836e6i 0.0570295i
\(559\) 3.21562e8 + 4.11439e7i 1.84090 + 0.235543i
\(560\) −1.24157e8 −0.706978
\(561\) −1.60713e6 3.33725e6i −0.00910255 0.0189016i
\(562\) 1.02082e6 2.11975e6i 0.00575095 0.0119420i
\(563\) −1.07369e8 + 1.34637e8i −0.601665 + 0.754464i −0.985637 0.168881i \(-0.945985\pi\)
0.383971 + 0.923345i \(0.374556\pi\)
\(564\) −4.60998e8 1.05220e8i −2.56958 0.586489i
\(565\) 2.06677e7 0.114590
\(566\) 4.57608e7i 0.252374i
\(567\) 1.90169e8 + 4.34049e7i 1.04326 + 0.238117i
\(568\) −4.21369e7 5.28380e7i −0.229941 0.288337i
\(569\) −3.98626e7 1.74649e8i −0.216386 0.948048i −0.960123 0.279576i \(-0.909806\pi\)
0.743738 0.668472i \(-0.233051\pi\)
\(570\) 2.82490e7 + 3.54231e7i 0.152538 + 0.191277i
\(571\) 7.50382e7 + 1.55818e8i 0.403064 + 0.836971i 0.999413 + 0.0342458i \(0.0109029\pi\)
−0.596350 + 0.802725i \(0.703383\pi\)
\(572\) −8.83173e7 + 3.86943e8i −0.471908 + 2.06757i
\(573\) −1.14625e8 + 5.52006e7i −0.609279 + 0.293414i
\(574\) −1.99838e7 + 2.50589e7i −0.105668 + 0.132503i
\(575\) −2.86041e7 1.25323e8i −0.150461 0.659214i
\(576\) 3.52351e7 + 1.54375e8i 0.184378 + 0.807811i
\(577\) 5.35286e7 1.11153e8i 0.278650 0.578622i −0.713930 0.700217i \(-0.753087\pi\)
0.992580 + 0.121595i \(0.0388008\pi\)
\(578\) −2.37559e7 1.89447e7i −0.123023 0.0981079i
\(579\) 5.89169e7 4.69846e7i 0.303532 0.242058i
\(580\) 3.99888e7 + 1.92576e7i 0.204953 + 0.0987002i
\(581\) 1.08179e8 2.24636e8i 0.551588 1.14538i
\(582\) −4.11408e7 5.15890e7i −0.208691 0.261691i
\(583\) −1.44976e8 + 1.81794e8i −0.731626 + 0.917430i
\(584\) −7.31744e6 3.52389e6i −0.0367384 0.0176923i
\(585\) 2.57895e8 5.88628e7i 1.28818 0.294018i
\(586\) 3.71630e7 8.48222e6i 0.184679 0.0421519i
\(587\) −1.17122e8 9.34013e7i −0.579059 0.461784i 0.289633 0.957138i \(-0.406467\pi\)
−0.868691 + 0.495354i \(0.835038\pi\)
\(588\) −9.74535e6 2.02364e7i −0.0479364 0.0995410i
\(589\) −1.12312e8 2.56344e7i −0.549641 0.125452i
\(590\) 2.13410e7 1.02773e7i 0.103910 0.0500407i
\(591\) −5.14541e7 + 4.10333e7i −0.249263 + 0.198780i
\(592\) −1.32056e8 + 3.01409e7i −0.636491 + 0.145275i
\(593\) −1.75660e7 + 1.40084e7i −0.0842382 + 0.0671777i −0.664703 0.747107i \(-0.731442\pi\)
0.580465 + 0.814285i \(0.302871\pi\)
\(594\) 365286. 1.60042e6i 0.00174290 0.00763616i
\(595\) −2.05099e6 −0.00973672
\(596\) 1.36571e8i 0.645090i
\(597\) 7.31930e7 3.20679e8i 0.343990 1.50712i
\(598\) −7.16257e7 5.71196e7i −0.334939 0.267105i
\(599\) 1.17003e8 + 5.63458e7i 0.544399 + 0.262169i 0.685808 0.727783i \(-0.259449\pi\)
−0.141409 + 0.989951i \(0.545163\pi\)
\(600\) −3.91412e7 + 1.88494e7i −0.181209 + 0.0872658i
\(601\) 1.11058e8i 0.511597i −0.966730 0.255798i \(-0.917662\pi\)
0.966730 0.255798i \(-0.0823383\pi\)
\(602\) 1.85329e7 + 3.05052e7i 0.0849483 + 0.139825i
\(603\) −8.29692e7 −0.378412
\(604\) −9.60867e7 1.99526e8i −0.436066 0.905501i
\(605\) 2.63059e7 5.46248e7i 0.118792 0.246674i
\(606\) −4.65356e7 + 5.83538e7i −0.209107 + 0.262211i
\(607\) −8.81908e7 2.01290e7i −0.394328 0.0900027i 0.0207593 0.999785i \(-0.493392\pi\)
−0.415087 + 0.909782i \(0.636249\pi\)
\(608\) 1.54843e8 0.688938
\(609\) 1.04702e8i 0.463558i
\(610\) 2.40457e6 + 548828.i 0.0105937 + 0.00241795i
\(611\) 5.08260e8 + 6.37338e8i 2.22824 + 2.79413i
\(612\) 615388. + 2.69619e6i 0.00268469 + 0.0117624i
\(613\) −1.66080e8 2.08258e8i −0.721002 0.904107i 0.277393 0.960757i \(-0.410530\pi\)
−0.998394 + 0.0566493i \(0.981958\pi\)
\(614\) −1.91360e7 3.97363e7i −0.0826696 0.171665i
\(615\) −5.52466e7 + 2.42051e8i −0.237509 + 1.04059i
\(616\) −7.97435e7 + 3.84024e7i −0.341156 + 0.164292i
\(617\) 2.15610e8 2.70367e8i 0.917940 1.15106i −0.0702047 0.997533i \(-0.522365\pi\)
0.988144 0.153527i \(-0.0490633\pi\)
\(618\) −8.51062e6 3.72874e7i −0.0360575 0.157978i
\(619\) −7.83053e7 3.43078e8i −0.330156 1.44651i −0.818827 0.574040i \(-0.805375\pi\)
0.488671 0.872468i \(-0.337482\pi\)
\(620\) −2.76663e7 + 5.74496e7i −0.116085 + 0.241053i
\(621\) −1.16647e7 9.30228e6i −0.0487078 0.0388432i
\(622\) −1.31353e7 + 1.04750e7i −0.0545844 + 0.0435296i
\(623\) 1.65281e7 + 7.95951e6i 0.0683531 + 0.0329171i
\(624\) 2.54357e8 5.28177e8i 1.04686 2.17383i
\(625\) −4.96957e7 6.23164e7i −0.203554 0.255248i
\(626\) −1.54666e7 + 1.93945e7i −0.0630479 + 0.0790596i
\(627\) −5.50992e8 2.65344e8i −2.23534 1.07648i
\(628\) 3.37790e8 7.70984e7i 1.36385 0.311291i
\(629\) −2.18148e6 + 497908.i −0.00876595 + 0.00200077i
\(630\) 2.27711e7 + 1.81593e7i 0.0910672 + 0.0726237i
\(631\) −1.79556e8 3.72852e8i −0.714680 1.48405i −0.868363 0.495929i \(-0.834828\pi\)
0.153683 0.988120i \(-0.450887\pi\)
\(632\) 5.29537e6 + 1.20863e6i 0.0209771 + 0.00478788i
\(633\) −3.79911e7 + 1.82955e7i −0.149786 + 0.0721330i
\(634\) −4.25165e6 + 3.39058e6i −0.0166836 + 0.0133047i
\(635\) −2.19801e8 + 5.01681e7i −0.858437 + 0.195933i
\(636\) 2.75698e8 2.19862e8i 1.07167 0.854630i
\(637\) −8.61639e6 + 3.77509e7i −0.0333355 + 0.146052i
\(638\) 1.52151e7 0.0585884
\(639\) 3.00179e8i 1.15048i
\(640\) 2.53147e7 1.10911e8i 0.0965681 0.423092i
\(641\) 2.36401e8 + 1.88523e8i 0.897584 + 0.715799i 0.959328 0.282293i \(-0.0910950\pi\)
−0.0617445 + 0.998092i \(0.519666\pi\)
\(642\) 8.49627e6 + 4.09159e6i 0.0321087 + 0.0154627i
\(643\) −1.02623e8 + 4.94207e7i −0.386023 + 0.185899i −0.616822 0.787103i \(-0.711580\pi\)
0.230799 + 0.973001i \(0.425866\pi\)
\(644\) 3.97167e8i 1.48702i
\(645\) 2.31868e8 + 1.50609e8i 0.864094 + 0.561271i
\(646\) 816604. 0.00302910
\(647\) −1.91271e8 3.97179e8i −0.706215 1.46647i −0.876664 0.481103i \(-0.840236\pi\)
0.170450 0.985366i \(-0.445478\pi\)
\(648\) −3.77767e7 + 7.84442e7i −0.138835 + 0.288294i
\(649\) −1.99341e8 + 2.49966e8i −0.729228 + 0.914423i
\(650\) 3.60510e7 + 8.22839e6i 0.131273 + 0.0299623i
\(651\) −1.50419e8 −0.545207
\(652\) 1.04077e8i 0.375503i
\(653\) −3.01964e8 6.89213e7i −1.08447 0.247522i −0.357304 0.933988i \(-0.616304\pi\)
−0.727162 + 0.686466i \(0.759161\pi\)
\(654\) 7.58445e6 + 9.51061e6i 0.0271138 + 0.0339997i
\(655\) 1.37262e6 + 6.01385e6i 0.00488458 + 0.0214007i
\(656\) 1.68892e8 + 2.11784e8i 0.598270 + 0.750207i
\(657\) −1.56520e7 3.25017e7i −0.0551918 0.114607i
\(658\) −1.99723e7 + 8.75043e7i −0.0701052 + 0.307151i
\(659\) −2.14734e8 + 1.03411e8i −0.750318 + 0.361334i −0.769639 0.638479i \(-0.779564\pi\)
0.0193210 + 0.999813i \(0.493850\pi\)
\(660\) −2.11052e8 + 2.64651e8i −0.734105 + 0.920538i
\(661\) −6.20842e7 2.72008e8i −0.214969 0.941842i −0.961134 0.276081i \(-0.910964\pi\)
0.746165 0.665761i \(-0.231893\pi\)
\(662\) −7.65221e6 3.35265e7i −0.0263763 0.115562i
\(663\) 4.20181e6 8.72514e6i 0.0144177 0.0299386i
\(664\) 8.70093e7 + 6.93876e7i 0.297208 + 0.237016i
\(665\) −2.64749e8 + 2.11130e8i −0.900262 + 0.717935i
\(666\) 2.86283e7 + 1.37866e7i 0.0969109 + 0.0466698i
\(667\) 5.99992e7 1.24590e8i 0.202194 0.419860i
\(668\) −1.46866e8 1.84165e8i −0.492712 0.617841i
\(669\) 3.21936e8 4.03695e8i 1.07520 1.34826i
\(670\) 1.22176e7 + 5.88367e6i 0.0406219 + 0.0195625i
\(671\) −3.24564e7 + 7.40796e6i −0.107432 + 0.0245206i
\(672\) 1.97113e8 4.49897e7i 0.649542 0.148254i
\(673\) 3.96492e8 + 3.16192e8i 1.30074 + 1.03730i 0.996403 + 0.0847381i \(0.0270054\pi\)
0.304334 + 0.952565i \(0.401566\pi\)
\(674\) −107320. 222852.i −0.000350511 0.000727843i
\(675\) 5.87112e6 + 1.34004e6i 0.0190902 + 0.00435720i
\(676\) −6.63478e8 + 3.19514e8i −2.14776 + 1.03431i
\(677\) −1.33089e8 + 1.06135e8i −0.428920 + 0.342052i −0.814034 0.580817i \(-0.802733\pi\)
0.385115 + 0.922869i \(0.374162\pi\)
\(678\) −1.04753e7 + 2.39091e6i −0.0336105 + 0.00767138i
\(679\) 3.85571e8 3.07483e8i 1.23167 0.982226i
\(680\) 203712. 892522.i 0.000647874 0.00283852i
\(681\) 7.75202e8 2.45456
\(682\) 2.18586e7i 0.0689079i
\(683\) −2.51735e7 + 1.10292e8i −0.0790100 + 0.346165i −0.998946 0.0459034i \(-0.985383\pi\)
0.919936 + 0.392069i \(0.128240\pi\)
\(684\) 3.56984e8 + 2.84685e8i 1.11553 + 0.889604i
\(685\) −2.83166e6 1.36366e6i −0.00880988 0.00424261i
\(686\) 4.37454e7 2.10667e7i 0.135506 0.0652564i
\(687\) 7.32318e8i 2.25855i
\(688\) 2.86202e8 9.53339e7i 0.878836 0.292740i
\(689\) −6.07925e8 −1.85863
\(690\) −3.39012e7 7.03965e7i −0.103197 0.214291i
\(691\) −2.21182e8 + 4.59290e8i −0.670372 + 1.39204i 0.236915 + 0.971530i \(0.423864\pi\)
−0.907287 + 0.420512i \(0.861851\pi\)
\(692\) 1.64912e8 2.06793e8i 0.497660 0.624046i
\(693\) −3.83271e8 8.74790e7i −1.15161 0.262848i
\(694\) −8.75526e7 −0.261933
\(695\) 3.61274e8i 1.07617i
\(696\) −4.55629e7 1.03994e7i −0.135140 0.0308448i
\(697\) 2.78999e6 + 3.49853e6i 0.00823955 + 0.0103321i
\(698\) 1.78066e7 + 7.80157e7i 0.0523618 + 0.229412i
\(699\) 4.98825e7 + 6.25506e7i 0.146055 + 0.183147i
\(700\) −6.95561e7 1.44435e8i −0.202787 0.421092i
\(701\) 3.91588e7 1.71566e8i 0.113678 0.498055i −0.885748 0.464167i \(-0.846354\pi\)
0.999426 0.0338882i \(-0.0107890\pi\)
\(702\) 3.86684e6 1.86217e6i 0.0111775 0.00538280i
\(703\) −2.30338e8 + 2.88834e8i −0.662978 + 0.831348i
\(704\) 7.77313e7 + 3.40563e8i 0.222781 + 0.976067i
\(705\) 1.54708e8 + 6.77820e8i 0.441515 + 1.93440i
\(706\) −2.52837e7 + 5.25021e7i −0.0718498 + 0.149198i
\(707\) −4.36131e8 3.47803e8i −1.23412 0.984181i
\(708\) 3.79084e8 3.02309e8i 1.06816 0.851828i
\(709\) −1.74001e8 8.37943e7i −0.488216 0.235113i 0.173547 0.984826i \(-0.444477\pi\)
−0.661763 + 0.749713i \(0.730192\pi\)
\(710\) −2.12869e7 + 4.42026e7i −0.0594753 + 0.123502i
\(711\) 1.50418e7 + 1.88619e7i 0.0418497 + 0.0524778i
\(712\) −5.10534e6 + 6.40190e6i −0.0141444 + 0.0177365i
\(713\) 1.78991e8 + 8.61973e7i 0.493812 + 0.237807i
\(714\) 1.03953e6 237265.i 0.00285589 0.000651838i
\(715\) 5.68935e8 1.29856e8i 1.55648 0.355257i
\(716\) −4.55363e8 3.63140e8i −1.24056 0.989315i
\(717\) 1.32152e8 + 2.74417e8i 0.358522 + 0.744480i
\(718\) −6.14271e6 1.40203e6i −0.0165954 0.00378778i
\(719\) 4.65869e8 2.24351e8i 1.25336 0.603589i 0.314953 0.949107i \(-0.398011\pi\)
0.938412 + 0.345519i \(0.112297\pi\)
\(720\) 1.92448e8 1.53472e8i 0.515604 0.411180i
\(721\) 2.78683e8 6.36075e7i 0.743540 0.169708i
\(722\) 5.91005e7 4.71311e7i 0.157029 0.125226i
\(723\) −3.74225e7 + 1.63959e8i −0.0990190 + 0.433830i
\(724\) 2.51088e8 0.661622
\(725\) 5.58162e7i 0.146469i
\(726\) −7.01376e6 + 3.07293e7i −0.0183291 + 0.0803050i
\(727\) 5.39919e8 + 4.30571e8i 1.40516 + 1.12058i 0.976105 + 0.217299i \(0.0697245\pi\)
0.429054 + 0.903279i \(0.358847\pi\)
\(728\) −2.08487e8 1.00402e8i −0.540363 0.260225i
\(729\) −3.27616e8 + 1.57772e8i −0.845634 + 0.407236i
\(730\) 5.89597e6i 0.0151561i
\(731\) 4.72788e6 1.57486e6i 0.0121036 0.00403170i
\(732\) 5.04873e7 0.128721
\(733\) 4.72370e7 + 9.80886e7i 0.119942 + 0.249062i 0.952292 0.305188i \(-0.0987194\pi\)
−0.832350 + 0.554250i \(0.813005\pi\)
\(734\) −2.22176e7 + 4.61353e7i −0.0561835 + 0.116666i
\(735\) −2.05906e7 + 2.58198e7i −0.0518570 + 0.0650266i
\(736\) −2.60334e8 5.94196e7i −0.652977 0.149038i
\(737\) −1.83036e8 −0.457230
\(738\) 6.35447e7i 0.158092i
\(739\) −2.69244e8 6.14532e7i −0.667134 0.152269i −0.124476 0.992223i \(-0.539725\pi\)
−0.542658 + 0.839954i \(0.682582\pi\)
\(740\) 1.27494e8 + 1.59872e8i 0.314626 + 0.394528i
\(741\) −3.55788e8 1.55881e9i −0.874453 3.83123i
\(742\) −4.17330e7 5.23316e7i −0.102157 0.128101i
\(743\) 2.67391e8 + 5.55243e8i 0.651899 + 1.35368i 0.920618 + 0.390464i \(0.127685\pi\)
−0.268719 + 0.963218i \(0.586600\pi\)
\(744\) 1.49402e7 6.54575e7i 0.0362776 0.158943i
\(745\) 1.80919e8 8.71261e7i 0.437538 0.210707i
\(746\) −2.99375e7 + 3.75404e7i −0.0721106 + 0.0904238i
\(747\) 1.09994e8 + 4.81917e8i 0.263881 + 1.15614i
\(748\) 1.35759e6 + 5.94800e6i 0.00324388 + 0.0142124i
\(749\) −3.05801e7 + 6.35003e7i −0.0727769 + 0.151123i
\(750\) 7.81431e7 + 6.23171e7i 0.185228 + 0.147715i
\(751\) −9.16549e7 + 7.30924e7i −0.216389 + 0.172565i −0.725685 0.688027i \(-0.758477\pi\)
0.509296 + 0.860591i \(0.329906\pi\)
\(752\) 6.83434e8 + 3.29125e8i 1.60710 + 0.773939i
\(753\) 1.40659e8 2.92080e8i 0.329444 0.684097i
\(754\) 2.48021e7 + 3.11008e7i 0.0578594 + 0.0725533i
\(755\) −2.03018e8 + 2.54577e8i −0.471731 + 0.591531i
\(756\) −1.67638e7 8.07304e6i −0.0387979 0.0186841i
\(757\) −5.05471e8