Properties

Label 69.7.f.a.7.1
Level $69$
Weight $7$
Character 69.7
Analytic conductor $15.874$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 69 = 3 \cdot 23 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 69.f (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(15.8737317698\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(24\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-10.0393 + 11.5859i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(-24.3387 - 169.280i) q^{4} +(-28.9992 + 13.2435i) q^{5} +(34.0100 - 236.544i) q^{6} +(-177.630 - 604.953i) q^{7} +(1380.21 + 887.009i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(-10.0393 + 11.5859i) q^{2} +(-13.1138 + 8.42776i) q^{3} +(-24.3387 - 169.280i) q^{4} +(-28.9992 + 13.2435i) q^{5} +(34.0100 - 236.544i) q^{6} +(-177.630 - 604.953i) q^{7} +(1380.21 + 887.009i) q^{8} +(100.946 - 221.041i) q^{9} +(137.692 - 468.937i) q^{10} +(-1091.90 + 946.137i) q^{11} +(1745.82 + 2014.79i) q^{12} +(119.777 + 35.1698i) q^{13} +(8792.21 + 4015.27i) q^{14} +(268.678 - 418.071i) q^{15} +(-13631.2 + 4002.48i) q^{16} +(-708.482 - 101.864i) q^{17} +(1547.54 + 3388.63i) q^{18} +(10569.1 - 1519.60i) q^{19} +(2947.66 + 4586.64i) q^{20} +(7427.81 + 6436.24i) q^{21} -22149.2i q^{22} +(-10036.2 - 6878.26i) q^{23} -25575.4 q^{24} +(-9566.64 + 11040.5i) q^{25} +(-1609.95 + 1034.65i) q^{26} +(539.088 + 3749.44i) q^{27} +(-98082.9 + 44793.0i) q^{28} +(1600.51 - 11131.8i) q^{29} +(2146.41 + 7310.01i) q^{30} +(-29692.1 - 19081.9i) q^{31} +(46855.1 - 102598. i) q^{32} +(6345.20 - 21609.8i) q^{33} +(8292.83 - 7185.78i) q^{34} +(13162.8 + 15190.7i) q^{35} +(-39874.6 - 11708.2i) q^{36} +(36549.2 + 16691.5i) q^{37} +(-88499.6 + 137708. i) q^{38} +(-1867.14 + 548.242i) q^{39} +(-51772.2 - 7443.71i) q^{40} +(6825.48 + 14945.7i) q^{41} +(-149139. + 21443.0i) q^{42} +(60768.4 + 94557.5i) q^{43} +(186737. + 161809. i) q^{44} +7746.88i q^{45} +(180447. - 47226.0i) q^{46} +83870.4 q^{47} +(145025. - 167368. i) q^{48} +(-235443. + 151310. i) q^{49} +(-31872.3 - 221677. i) q^{50} +(10149.4 - 4635.08i) q^{51} +(3038.30 - 21131.8i) q^{52} +(55538.0 + 189145. i) q^{53} +(-48852.8 - 31395.8i) q^{54} +(19134.1 - 41897.8i) q^{55} +(291431. - 992523. i) q^{56} +(-125794. + 109001. i) q^{57} +(112904. + 130298. i) q^{58} +(-96494.9 - 28333.5i) q^{59} +(-77310.2 - 35306.4i) q^{60} +(-5411.12 + 8419.86i) q^{61} +(519169. - 152442. i) q^{62} +(-151650. - 21804.0i) q^{63} +(340600. + 745809. i) q^{64} +(-3939.21 + 566.373i) q^{65} +(186668. + 290461. i) q^{66} +(-3832.67 - 3321.03i) q^{67} +122411. i q^{68} +(189582. + 5617.77i) q^{69} -308143. q^{70} +(-426158. + 491813. i) q^{71} +(335392. - 215543. i) q^{72} +(90950.1 + 632572. i) q^{73} +(-560313. + 255886. i) q^{74} +(32408.8 - 225408. i) q^{75} +(-514476. - 1.75214e6i) q^{76} +(766323. + 492486. i) q^{77} +(12392.8 - 27136.5i) q^{78} +(121586. - 414084. i) q^{79} +(342287. - 296593. i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(-241683. - 70964.4i) q^{82} +(308292. + 140792. i) q^{83} +(908740. - 1.41403e6i) q^{84} +(21894.5 - 6428.79i) q^{85} +(-1.70561e6 - 245229. i) q^{86} +(72827.2 + 159469. i) q^{87} +(-2.34629e6 + 337345. i) q^{88} +(-385386. - 599672. i) q^{89} +(-89754.7 - 77772.9i) q^{90} -78706.8i q^{91} +(-920081. + 1.86633e6i) q^{92} +550195. q^{93} +(-841997. + 971716. i) q^{94} +(-286370. + 184039. i) q^{95} +(250223. + 1.74034e6i) q^{96} +(521758. - 238279. i) q^{97} +(610607. - 4.24686e6i) q^{98} +(98911.9 + 336863. i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q + 20q^{2} - 816q^{4} + 324q^{6} + 940q^{8} - 5832q^{9} + O(q^{10}) \) \( 240q + 20q^{2} - 816q^{4} + 324q^{6} + 940q^{8} - 5832q^{9} - 384q^{13} + 33816q^{16} + 22880q^{17} + 4860q^{18} - 31680q^{19} - 157696q^{20} + 36488q^{23} + 39204q^{24} + 200664q^{25} + 99032q^{26} - 202752q^{28} - 181712q^{29} - 128496q^{31} + 439300q^{32} - 400026q^{34} + 368744q^{35} + 42282q^{36} + 446688q^{37} + 550550q^{38} - 52488q^{39} - 156750q^{40} - 606080q^{41} - 1274130q^{42} - 429000q^{43} - 867482q^{44} + 309288q^{46} + 1111152q^{47} + 837864q^{48} + 722136q^{49} + 1786926q^{50} + 463320q^{51} - 812550q^{52} - 367840q^{53} - 354294q^{54} - 398088q^{55} - 3696550q^{56} - 1240272q^{57} + 1903134q^{58} + 545800q^{59} + 2450250q^{60} - 495264q^{61} + 488776q^{62} - 2699808q^{64} - 290400q^{67} + 23328q^{69} - 392616q^{70} + 255392q^{71} + 228420q^{72} + 1346880q^{73} - 5387470q^{74} + 365472q^{75} + 2123022q^{76} + 6134240q^{77} + 171072q^{78} + 4025472q^{79} + 10626462q^{80} - 1417176q^{81} + 2025492q^{82} - 2474560q^{83} - 8866152q^{85} - 15634300q^{86} - 611712q^{87} - 10636560q^{88} - 5901720q^{89} + 6566394q^{92} - 2484432q^{93} + 13931490q^{94} + 8183072q^{95} - 4682124q^{96} + 12319560q^{97} + 14139580q^{98} + 2993760q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).

\(n\) \(28\) \(47\)
\(\chi(n)\) \(e\left(\frac{19}{22}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −10.0393 + 11.5859i −1.25491 + 1.44824i −0.411104 + 0.911589i \(0.634857\pi\)
−0.843804 + 0.536652i \(0.819689\pi\)
\(3\) −13.1138 + 8.42776i −0.485698 + 0.312139i
\(4\) −24.3387 169.280i −0.380293 2.64499i
\(5\) −28.9992 + 13.2435i −0.231994 + 0.105948i −0.528020 0.849232i \(-0.677066\pi\)
0.296027 + 0.955180i \(0.404338\pi\)
\(6\) 34.0100 236.544i 0.157453 1.09511i
\(7\) −177.630 604.953i −0.517872 1.76371i −0.637033 0.770836i \(-0.719839\pi\)
0.119161 0.992875i \(-0.461980\pi\)
\(8\) 1380.21 + 887.009i 2.69573 + 1.73244i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) 137.692 468.937i 0.137692 0.468937i
\(11\) −1091.90 + 946.137i −0.820361 + 0.710847i −0.960196 0.279328i \(-0.909888\pi\)
0.139835 + 0.990175i \(0.455343\pi\)
\(12\) 1745.82 + 2014.79i 1.01031 + 1.16596i
\(13\) 119.777 + 35.1698i 0.0545185 + 0.0160081i 0.308878 0.951102i \(-0.400046\pi\)
−0.254360 + 0.967110i \(0.581865\pi\)
\(14\) 8792.21 + 4015.27i 3.20416 + 1.46329i
\(15\) 268.678 418.071i 0.0796083 0.123873i
\(16\) −13631.2 + 4002.48i −3.32793 + 0.977167i
\(17\) −708.482 101.864i −0.144206 0.0207336i 0.0698339 0.997559i \(-0.477753\pi\)
−0.214040 + 0.976825i \(0.568662\pi\)
\(18\) 1547.54 + 3388.63i 0.265353 + 0.581042i
\(19\) 10569.1 1519.60i 1.54091 0.221549i 0.681108 0.732183i \(-0.261499\pi\)
0.859798 + 0.510635i \(0.170590\pi\)
\(20\) 2947.66 + 4586.64i 0.368457 + 0.573330i
\(21\) 7427.81 + 6436.24i 0.802053 + 0.694983i
\(22\) 22149.2i 2.08013i
\(23\) −10036.2 6878.26i −0.824871 0.565321i
\(24\) −25575.4 −1.85007
\(25\) −9566.64 + 11040.5i −0.612265 + 0.706591i
\(26\) −1609.95 + 1034.65i −0.0915992 + 0.0588673i
\(27\) 539.088 + 3749.44i 0.0273885 + 0.190491i
\(28\) −98082.9 + 44793.0i −4.46806 + 2.04050i
\(29\) 1600.51 11131.8i 0.0656242 0.456427i −0.930342 0.366694i \(-0.880490\pi\)
0.995966 0.0897327i \(-0.0286013\pi\)
\(30\) 2146.41 + 7310.01i 0.0794968 + 0.270741i
\(31\) −29692.1 19081.9i −0.996680 0.640527i −0.0627670 0.998028i \(-0.519992\pi\)
−0.933913 + 0.357501i \(0.883629\pi\)
\(32\) 46855.1 102598.i 1.42990 3.13105i
\(33\) 6345.20 21609.8i 0.176565 0.601324i
\(34\) 8292.83 7185.78i 0.210992 0.182826i
\(35\) 13162.8 + 15190.7i 0.307005 + 0.354302i
\(36\) −39874.6 11708.2i −0.854650 0.250948i
\(37\) 36549.2 + 16691.5i 0.721560 + 0.329526i 0.742124 0.670263i \(-0.233819\pi\)
−0.0205634 + 0.999789i \(0.506546\pi\)
\(38\) −88499.6 + 137708.i −1.61284 + 2.50962i
\(39\) −1867.14 + 548.242i −0.0314763 + 0.00924227i
\(40\) −51772.2 7443.71i −0.808940 0.116308i
\(41\) 6825.48 + 14945.7i 0.0990334 + 0.216853i 0.952663 0.304027i \(-0.0983313\pi\)
−0.853630 + 0.520880i \(0.825604\pi\)
\(42\) −149139. + 21443.0i −2.01300 + 0.289426i
\(43\) 60768.4 + 94557.5i 0.764315 + 1.18930i 0.977221 + 0.212225i \(0.0680710\pi\)
−0.212905 + 0.977073i \(0.568293\pi\)
\(44\) 186737. + 161809.i 2.19216 + 1.89952i
\(45\) 7746.88i 0.0850137i
\(46\) 180447. 47226.0i 1.85386 0.485186i
\(47\) 83870.4 0.807821 0.403910 0.914799i \(-0.367651\pi\)
0.403910 + 0.914799i \(0.367651\pi\)
\(48\) 145025. 167368.i 1.31135 1.51338i
\(49\) −235443. + 151310.i −2.00123 + 1.28611i
\(50\) −31872.3 221677.i −0.254978 1.77341i
\(51\) 10149.4 4635.08i 0.0765122 0.0349419i
\(52\) 3038.30 21131.8i 0.0216083 0.150289i
\(53\) 55538.0 + 189145.i 0.373047 + 1.27048i 0.905618 + 0.424095i \(0.139408\pi\)
−0.532571 + 0.846385i \(0.678774\pi\)
\(54\) −48852.8 31395.8i −0.310247 0.199384i
\(55\) 19134.1 41897.8i 0.115006 0.251828i
\(56\) 291431. 992523.i 1.65948 5.65167i
\(57\) −125794. + 109001.i −0.679261 + 0.588583i
\(58\) 112904. + 130298.i 0.578663 + 0.667813i
\(59\) −96494.9 28333.5i −0.469838 0.137957i 0.0382388 0.999269i \(-0.487825\pi\)
−0.508077 + 0.861312i \(0.669643\pi\)
\(60\) −77310.2 35306.4i −0.357918 0.163456i
\(61\) −5411.12 + 8419.86i −0.0238395 + 0.0370950i −0.852969 0.521962i \(-0.825200\pi\)
0.829129 + 0.559057i \(0.188837\pi\)
\(62\) 519169. 152442.i 2.17838 0.639630i
\(63\) −151650. 21804.0i −0.606487 0.0871996i
\(64\) 340600. + 745809.i 1.29928 + 2.84504i
\(65\) −3939.21 + 566.373i −0.0143440 + 0.00206235i
\(66\) 186668. + 290461.i 0.649289 + 1.01031i
\(67\) −3832.67 3321.03i −0.0127431 0.0110420i 0.648466 0.761244i \(-0.275411\pi\)
−0.661209 + 0.750202i \(0.729956\pi\)
\(68\) 122411.i 0.389308i
\(69\) 189582. + 5617.77i 0.577097 + 0.0171008i
\(70\) −308143. −0.898377
\(71\) −426158. + 491813.i −1.19068 + 1.37412i −0.280529 + 0.959845i \(0.590510\pi\)
−0.910152 + 0.414274i \(0.864036\pi\)
\(72\) 335392. 215543.i 0.898576 0.577480i
\(73\) 90950.1 + 632572.i 0.233795 + 1.62608i 0.681446 + 0.731869i \(0.261352\pi\)
−0.447651 + 0.894208i \(0.647739\pi\)
\(74\) −560313. + 255886.i −1.38272 + 0.631469i
\(75\) 32408.8 225408.i 0.0768210 0.534302i
\(76\) −514476. 1.75214e6i −1.17199 3.99143i
\(77\) 766323. + 492486.i 1.67857 + 1.07875i
\(78\) 12392.8 27136.5i 0.0261148 0.0571834i
\(79\) 121586. 414084.i 0.246605 0.839861i −0.739417 0.673248i \(-0.764899\pi\)
0.986022 0.166613i \(-0.0532830\pi\)
\(80\) 342287. 296593.i 0.668529 0.579284i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) −241683. 70964.4i −0.438333 0.128706i
\(83\) 308292. + 140792.i 0.539173 + 0.246232i 0.666339 0.745649i \(-0.267861\pi\)
−0.127165 + 0.991882i \(0.540588\pi\)
\(84\) 908740. 1.41403e6i 1.53321 2.38572i
\(85\) 21894.5 6428.79i 0.0356515 0.0104682i
\(86\) −1.70561e6 245229.i −2.68153 0.385546i
\(87\) 72827.2 + 159469.i 0.110595 + 0.242169i
\(88\) −2.34629e6 + 337345.i −3.44297 + 0.495024i
\(89\) −385386. 599672.i −0.546671 0.850636i 0.452483 0.891773i \(-0.350538\pi\)
−0.999154 + 0.0411367i \(0.986902\pi\)
\(90\) −89754.7 77772.9i −0.123120 0.106684i
\(91\) 78706.8i 0.104445i
\(92\) −920081. + 1.86633e6i −1.18158 + 2.39677i
\(93\) 550195. 0.684019
\(94\) −841997. + 971716.i −1.01374 + 1.16992i
\(95\) −286370. + 184039.i −0.334008 + 0.214654i
\(96\) 250223. + 1.74034e6i 0.282823 + 1.96707i
\(97\) 521758. 238279.i 0.571681 0.261078i −0.108531 0.994093i \(-0.534615\pi\)
0.680212 + 0.733015i \(0.261887\pi\)
\(98\) 610607. 4.24686e6i 0.648759 4.51222i
\(99\) 98911.9 + 336863.i 0.101940 + 0.347174i
\(100\) 2.10177e6 + 1.35072e6i 2.10177 + 1.35072i
\(101\) −395477. + 865975.i −0.383846 + 0.840507i 0.614809 + 0.788676i \(0.289233\pi\)
−0.998656 + 0.0518308i \(0.983494\pi\)
\(102\) −48190.9 + 164123.i −0.0454114 + 0.154657i
\(103\) 1.10028e6 953394.i 1.00691 0.872491i 0.0150560 0.999887i \(-0.495207\pi\)
0.991852 + 0.127396i \(0.0406619\pi\)
\(104\) 134122. + 154785.i 0.119234 + 0.137603i
\(105\) −300639. 88275.5i −0.259703 0.0762557i
\(106\) −2.74898e6 1.25542e6i −2.30810 1.05407i
\(107\) −634150. + 986757.i −0.517656 + 0.805488i −0.997411 0.0719145i \(-0.977089\pi\)
0.479755 + 0.877402i \(0.340725\pi\)
\(108\) 621583. 182513.i 0.493432 0.144885i
\(109\) 650010. + 93457.3i 0.501927 + 0.0721662i 0.388628 0.921395i \(-0.372949\pi\)
0.113299 + 0.993561i \(0.463858\pi\)
\(110\) 293333. + 642309.i 0.220385 + 0.482576i
\(111\) −619972. + 89138.5i −0.453318 + 0.0651773i
\(112\) 4.84262e6 + 7.53527e6i 3.44688 + 5.36345i
\(113\) 725928. + 629020.i 0.503105 + 0.435943i 0.869072 0.494685i \(-0.164717\pi\)
−0.365968 + 0.930628i \(0.619262\pi\)
\(114\) 2.55174e6i 1.72235i
\(115\) 382134. + 66549.7i 0.251259 + 0.0437575i
\(116\) −1.92334e6 −1.23220
\(117\) 19865.0 22925.4i 0.0124031 0.0143139i
\(118\) 1.29701e6 833535.i 0.789398 0.507315i
\(119\) 64224.7 + 446693.i 0.0381120 + 0.265075i
\(120\) 741666. 338707.i 0.429205 0.196011i
\(121\) 44951.8 312647.i 0.0253741 0.176481i
\(122\) −43228.3 147222.i −0.0238061 0.0810762i
\(123\) −215467. 138472.i −0.115789 0.0744128i
\(124\) −2.50752e6 + 5.49070e6i −1.31516 + 2.87980i
\(125\) 271549. 924811.i 0.139033 0.473503i
\(126\) 1.77508e6 1.53811e6i 0.887371 0.768911i
\(127\) 968094. + 1.11724e6i 0.472614 + 0.545425i 0.941137 0.338026i \(-0.109759\pi\)
−0.468523 + 0.883451i \(0.655214\pi\)
\(128\) −5.13404e6 1.50749e6i −2.44810 0.718827i
\(129\) −1.59382e6 727871.i −0.742453 0.339067i
\(130\) 32984.8 51325.4i 0.0150136 0.0233616i
\(131\) 3.15783e6 927222.i 1.40467 0.412449i 0.510386 0.859946i \(-0.329503\pi\)
0.894285 + 0.447497i \(0.147684\pi\)
\(132\) −3.81253e6 548159.i −1.65764 0.238333i
\(133\) −2.79667e6 6.12386e6i −1.18874 2.60298i
\(134\) 76954.3 11064.4i 0.0319829 0.00459845i
\(135\) −65288.8 101591.i −0.0265361 0.0412910i
\(136\) −887502. 769025.i −0.352819 0.305720i
\(137\) 2.81744e6i 1.09570i 0.836575 + 0.547852i \(0.184554\pi\)
−0.836575 + 0.547852i \(0.815446\pi\)
\(138\) −1.96835e6 + 2.14008e6i −0.748969 + 0.814315i
\(139\) 1.79486e6 0.668324 0.334162 0.942516i \(-0.391547\pi\)
0.334162 + 0.942516i \(0.391547\pi\)
\(140\) 2.25111e6 2.59792e6i 0.820376 0.946764i
\(141\) −1.09986e6 + 706839.i −0.392357 + 0.252152i
\(142\) −1.41979e6 9.87487e6i −0.495861 3.44879i
\(143\) −164060. + 74923.8i −0.0561042 + 0.0256219i
\(144\) −491302. + 3.41708e6i −0.164536 + 1.14437i
\(145\) 101010. + 344009.i 0.0331330 + 0.112841i
\(146\) −8.24200e6 5.29681e6i −2.64834 1.70199i
\(147\) 1.81236e6 3.96851e6i 0.570548 1.24933i
\(148\) 1.93596e6 6.59328e6i 0.597189 2.03384i
\(149\) 4.10532e6 3.55728e6i 1.24105 1.07537i 0.246710 0.969089i \(-0.420651\pi\)
0.994336 0.106283i \(-0.0338949\pi\)
\(150\) 2.28620e6 + 2.63842e6i 0.677394 + 0.781754i
\(151\) 3.51616e6 + 1.03244e6i 1.02126 + 0.299870i 0.749154 0.662396i \(-0.230460\pi\)
0.272110 + 0.962266i \(0.412279\pi\)
\(152\) 1.59355e7 + 7.27748e6i 4.53768 + 2.07229i
\(153\) −94034.5 + 146321.i −0.0262551 + 0.0408537i
\(154\) −1.33992e7 + 3.93437e6i −3.66874 + 1.07724i
\(155\) 1.11376e6 + 160134.i 0.299086 + 0.0430021i
\(156\) 138250. + 302725.i 0.0364159 + 0.0797398i
\(157\) −4.96302e6 + 713574.i −1.28247 + 0.184391i −0.749648 0.661837i \(-0.769777\pi\)
−0.532821 + 0.846228i \(0.678868\pi\)
\(158\) 3.57691e6 + 5.56578e6i 0.906853 + 1.41109i
\(159\) −2.32239e6 2.01236e6i −0.577754 0.500627i
\(160\) 3.59579e6i 0.877879i
\(161\) −2.37829e6 + 7.29322e6i −0.569885 + 1.74760i
\(162\) 905243. 0.212922
\(163\) −2.87854e6 + 3.32201e6i −0.664676 + 0.767076i −0.983533 0.180726i \(-0.942155\pi\)
0.318858 + 0.947803i \(0.396701\pi\)
\(164\) 2.36388e6 1.51917e6i 0.535913 0.344410i
\(165\) 102183. + 710699.i 0.0227472 + 0.158210i
\(166\) −4.72624e6 + 2.15840e6i −1.03322 + 0.471854i
\(167\) 286445. 1.99227e6i 0.0615023 0.427758i −0.935687 0.352832i \(-0.885219\pi\)
0.997189 0.0749262i \(-0.0238721\pi\)
\(168\) 4.54296e6 + 1.54719e7i 0.958101 + 3.26299i
\(169\) −4.04746e6 2.60114e6i −0.838538 0.538895i
\(170\) −145321. + 318208.i −0.0295788 + 0.0647686i
\(171\) 731010. 2.48959e6i 0.146196 0.497897i
\(172\) 1.45276e7 1.25883e7i 2.85502 2.47389i
\(173\) 2.12917e6 + 2.45719e6i 0.411217 + 0.474570i 0.923141 0.384461i \(-0.125613\pi\)
−0.511924 + 0.859031i \(0.671067\pi\)
\(174\) −2.57873e6 757183.i −0.489506 0.143732i
\(175\) 8.37830e6 + 3.82624e6i 1.56330 + 0.713934i
\(176\) 1.10970e7 1.72673e7i 2.03549 3.16728i
\(177\) 1.50421e6 441675.i 0.271261 0.0796495i
\(178\) 1.08167e7 + 1.55521e6i 1.91795 + 0.275759i
\(179\) 1.59348e6 + 3.48924e6i 0.277836 + 0.608376i 0.996181 0.0873109i \(-0.0278274\pi\)
−0.718345 + 0.695687i \(0.755100\pi\)
\(180\) 1.31139e6 188549.i 0.224861 0.0323301i
\(181\) −2.71732e6 4.22824e6i −0.458253 0.713056i 0.532842 0.846215i \(-0.321124\pi\)
−0.991095 + 0.133159i \(0.957488\pi\)
\(182\) 911891. + 790158.i 0.151262 + 0.131069i
\(183\) 156020.i 0.0254582i
\(184\) −7.75102e6 1.83957e7i −1.24424 2.95299i
\(185\) −1.28095e6 −0.202310
\(186\) −5.52355e6 + 6.37452e6i −0.858380 + 0.990624i
\(187\) 869970. 559096.i 0.133039 0.0854991i
\(188\) −2.04130e6 1.41975e7i −0.307208 2.13668i
\(189\) 2.17248e6 992136.i 0.321788 0.146956i
\(190\) 742682. 5.16547e6i 0.108279 0.753094i
\(191\) 1.79635e6 + 6.11781e6i 0.257805 + 0.878003i 0.982076 + 0.188487i \(0.0603583\pi\)
−0.724271 + 0.689516i \(0.757823\pi\)
\(192\) −1.07521e7 6.90993e6i −1.51911 0.976271i
\(193\) −499598. + 1.09397e6i −0.0694943 + 0.152171i −0.941191 0.337874i \(-0.890292\pi\)
0.871697 + 0.490045i \(0.163020\pi\)
\(194\) −2.47738e6 + 8.43719e6i −0.339303 + 1.15556i
\(195\) 46885.0 40626.1i 0.00632310 0.00547899i
\(196\) 3.13441e7 + 3.61730e7i 4.16282 + 4.80415i
\(197\) −2.14023e6 628429.i −0.279938 0.0821973i 0.138750 0.990328i \(-0.455692\pi\)
−0.418688 + 0.908130i \(0.637510\pi\)
\(198\) −4.89587e6 2.23587e6i −0.630717 0.288039i
\(199\) −4.56747e6 + 7.10712e6i −0.579584 + 0.901850i −0.999985 0.00548834i \(-0.998253\pi\)
0.420401 + 0.907338i \(0.361889\pi\)
\(200\) −2.29970e7 + 6.75253e6i −2.87462 + 0.844066i
\(201\) 78249.8 + 11250.6i 0.00963596 + 0.00138544i
\(202\) −6.06282e6 1.32757e7i −0.735564 1.61066i
\(203\) −7.01851e6 + 1.00911e6i −0.838990 + 0.120629i
\(204\) −1.03165e6 1.60528e6i −0.121518 0.189086i
\(205\) −395867. 343021.i −0.0459502 0.0398161i
\(206\) 2.23191e7i 2.55314i
\(207\) −2.53349e6 + 1.52408e6i −0.285633 + 0.171829i
\(208\) −1.77347e6 −0.197076
\(209\) −1.01026e7 + 1.16590e7i −1.10661 + 1.27710i
\(210\) 4.04094e6 2.59696e6i 0.436340 0.280419i
\(211\) −845772. 5.88247e6i −0.0900339 0.626199i −0.984014 0.178092i \(-0.943007\pi\)
0.893980 0.448107i \(-0.147902\pi\)
\(212\) 3.06667e7 1.40050e7i 3.21854 1.46986i
\(213\) 1.44369e6 1.00411e7i 0.149395 1.03907i
\(214\) −5.06609e6 1.72535e7i −0.516930 1.76050i
\(215\) −3.01451e6 1.93731e6i −0.303320 0.194932i
\(216\) −2.58173e6 + 5.65320e6i −0.256182 + 0.560961i
\(217\) −6.26947e6 + 2.13518e7i −0.613552 + 2.08957i
\(218\) −7.60840e6 + 6.59272e6i −0.734385 + 0.636349i
\(219\) −6.52386e6 7.52894e6i −0.621116 0.716806i
\(220\) −7.55814e6 2.21927e6i −0.709818 0.208421i
\(221\) −81277.5 37118.2i −0.00752997 0.00343882i
\(222\) 5.19131e6 8.07783e6i 0.474480 0.738305i
\(223\) 1.89304e7 5.55848e6i 1.70705 0.501235i 0.724824 0.688934i \(-0.241921\pi\)
0.982227 + 0.187699i \(0.0601030\pi\)
\(224\) −7.03900e7 1.01206e7i −6.26278 0.900452i
\(225\) 1.47468e6 + 3.22911e6i 0.129465 + 0.283488i
\(226\) −1.45756e7 + 2.09565e6i −1.26270 + 0.181549i
\(227\) −229589. 357247.i −0.0196279 0.0305416i 0.831301 0.555823i \(-0.187597\pi\)
−0.850929 + 0.525281i \(0.823960\pi\)
\(228\) 2.15134e7 + 1.86415e7i 1.81512 + 1.57281i
\(229\) 5.82275e6i 0.484866i 0.970168 + 0.242433i \(0.0779455\pi\)
−0.970168 + 0.242433i \(0.922055\pi\)
\(230\) −4.60738e6 + 3.75927e6i −0.378679 + 0.308972i
\(231\) −1.42000e7 −1.15200
\(232\) 1.20830e7 1.39446e7i 0.967636 1.11671i
\(233\) 1.00487e7 6.45794e6i 0.794409 0.510536i −0.0793781 0.996845i \(-0.525293\pi\)
0.873787 + 0.486309i \(0.161657\pi\)
\(234\) 66182.2 + 460308.i 0.00516528 + 0.0359253i
\(235\) −2.43217e6 + 1.11074e6i −0.187409 + 0.0855869i
\(236\) −2.44771e6 + 1.70242e7i −0.186219 + 1.29518i
\(237\) 1.89534e6 + 6.45493e6i 0.142378 + 0.484894i
\(238\) −5.82012e6 3.74036e6i −0.431719 0.277449i
\(239\) 2.61004e6 5.71520e6i 0.191185 0.418637i −0.789628 0.613585i \(-0.789727\pi\)
0.980814 + 0.194948i \(0.0624539\pi\)
\(240\) −1.98908e6 + 6.77419e6i −0.143886 + 0.490031i
\(241\) −2.28444e6 + 1.97948e6i −0.163203 + 0.141416i −0.732634 0.680623i \(-0.761709\pi\)
0.569431 + 0.822039i \(0.307164\pi\)
\(242\) 3.17102e6 + 3.65955e6i 0.223745 + 0.258215i
\(243\) 883197. + 259330.i 0.0615515 + 0.0180732i
\(244\) 1.55701e6 + 711063.i 0.107182 + 0.0489484i
\(245\) 4.82379e6 7.50596e6i 0.328012 0.510397i
\(246\) 3.76746e6 1.10623e6i 0.253071 0.0743085i
\(247\) 1.31938e6 + 189698.i 0.0875544 + 0.0125884i
\(248\) −2.40555e7 5.26743e7i −1.57710 3.45337i
\(249\) −5.22946e6 + 751883.i −0.338734 + 0.0487026i
\(250\) 7.98863e6 + 1.24306e7i 0.511273 + 0.795556i
\(251\) −3.28130e6 2.84326e6i −0.207503 0.179802i 0.544909 0.838495i \(-0.316564\pi\)
−0.752412 + 0.658693i \(0.771110\pi\)
\(252\) 2.62020e7i 1.63732i
\(253\) 1.74663e7 1.98525e6i 1.07855 0.122590i
\(254\) −2.26632e7 −1.38299
\(255\) −232940. + 268827.i −0.0140483 + 0.0162126i
\(256\) 2.48639e7 1.59790e7i 1.48200 0.952425i
\(257\) 3.81136e6 + 2.65086e7i 0.224533 + 1.56166i 0.720584 + 0.693368i \(0.243874\pi\)
−0.496051 + 0.868294i \(0.665217\pi\)
\(258\) 2.44338e7 1.11585e7i 1.42276 0.649753i
\(259\) 3.60531e6 2.50755e7i 0.207512 1.44328i
\(260\) 191751. + 653044.i 0.0109098 + 0.0371554i
\(261\) −2.29901e6 1.47749e6i −0.129306 0.0831001i
\(262\) −2.09595e7 + 4.58950e7i −1.16541 + 2.55189i
\(263\) 3.94177e6 1.34244e7i 0.216682 0.737952i −0.777369 0.629044i \(-0.783446\pi\)
0.994052 0.108908i \(-0.0347354\pi\)
\(264\) 2.79258e7 2.41978e7i 1.51773 1.31512i
\(265\) −4.11550e6 4.74954e6i −0.221149 0.255220i
\(266\) 9.90271e7 + 2.90770e7i 5.26150 + 1.54491i
\(267\) 1.01078e7 + 4.61607e6i 0.531034 + 0.242515i
\(268\) −468900. + 729622.i −0.0243599 + 0.0379047i
\(269\) −6.08945e6 + 1.78802e6i −0.312839 + 0.0918579i −0.434383 0.900728i \(-0.643034\pi\)
0.121544 + 0.992586i \(0.461215\pi\)
\(270\) 1.83248e6 + 263471.i 0.0930996 + 0.0133857i
\(271\) −1.24964e7 2.73632e7i −0.627879 1.37486i −0.909648 0.415380i \(-0.863649\pi\)
0.281769 0.959482i \(-0.409079\pi\)
\(272\) 1.00652e7 1.44715e6i 0.500166 0.0719130i
\(273\) 663322. + 1.03215e6i 0.0326014 + 0.0507288i
\(274\) −3.26427e7 2.82850e7i −1.58684 1.37501i
\(275\) 2.11065e7i 1.01489i
\(276\) −3.66320e6 3.22290e7i −0.174234 1.53292i
\(277\) 4.87114e6 0.229188 0.114594 0.993412i \(-0.463443\pi\)
0.114594 + 0.993412i \(0.463443\pi\)
\(278\) −1.80191e7 + 2.07952e7i −0.838685 + 0.967894i
\(279\) −7.21518e6 + 4.63691e6i −0.332227 + 0.213509i
\(280\) 4.69320e6 + 3.26419e7i 0.213794 + 1.48697i
\(281\) −2.56383e7 + 1.17086e7i −1.15550 + 0.527700i −0.898614 0.438741i \(-0.855425\pi\)
−0.256889 + 0.966441i \(0.582697\pi\)
\(282\) 2.85243e6 1.98391e7i 0.127194 0.884655i
\(283\) 3.17898e6 + 1.08266e7i 0.140258 + 0.477675i 0.999421 0.0340270i \(-0.0108332\pi\)
−0.859163 + 0.511702i \(0.829015\pi\)
\(284\) 9.36260e7 + 6.01698e7i 4.08735 + 2.62678i
\(285\) 2.20438e6 4.82691e6i 0.0952250 0.208514i
\(286\) 778982. 2.65297e6i 0.0332988 0.113405i
\(287\) 7.82904e6 6.78390e6i 0.331179 0.286968i
\(288\) −1.79486e7 2.07137e7i −0.751367 0.867124i
\(289\) −2.26683e7 6.65600e6i −0.939128 0.275753i
\(290\) −4.99973e6 2.28330e6i −0.205000 0.0936201i
\(291\) −4.83410e6 + 7.52200e6i −0.196172 + 0.305249i
\(292\) 1.04868e8 3.07920e7i 4.21205 1.23677i
\(293\) −4.16530e7 5.98880e6i −1.65594 0.238088i −0.749981 0.661460i \(-0.769937\pi\)
−0.905956 + 0.423372i \(0.860846\pi\)
\(294\) 2.77841e7 + 6.08388e7i 1.09334 + 2.39408i
\(295\) 3.17351e6 456282.i 0.123616 0.0177733i
\(296\) 3.56402e7 + 5.54572e7i 1.37425 + 2.13837i
\(297\) −4.13611e6 3.58396e6i −0.157879 0.136803i
\(298\) 8.32763e7i 3.14683i
\(299\) −960201. 1.17683e6i −0.0359210 0.0440251i
\(300\) −3.89459e7 −1.44244
\(301\) 4.64085e7 5.35583e7i 1.70176 1.96394i
\(302\) −4.72614e7 + 3.03731e7i −1.71588 + 1.10273i
\(303\) −2.11199e6 1.46892e7i −0.0759215 0.528046i
\(304\) −1.37987e8 + 6.30165e7i −4.91153 + 2.24302i
\(305\) 45409.7 315831.i 0.00160048 0.0111316i
\(306\) −751222. 2.55843e6i −0.0262183 0.0892912i
\(307\) 9.33394e6 + 5.99856e6i 0.322589 + 0.207316i 0.691905 0.721988i \(-0.256772\pi\)
−0.369316 + 0.929304i \(0.620408\pi\)
\(308\) 6.47165e7 1.41709e8i 2.21494 4.85005i
\(309\) −6.39387e6 + 2.17755e7i −0.216715 + 0.738062i
\(310\) −1.30366e7 + 1.12963e7i −0.437602 + 0.379185i
\(311\) −2.88408e7 3.32841e7i −0.958796 1.10651i −0.994244 0.107138i \(-0.965831\pi\)
0.0354480 0.999372i \(-0.488714\pi\)
\(312\) −3.06335e6 899480.i −0.100863 0.0296161i
\(313\) 3.46188e6 + 1.58099e6i 0.112896 + 0.0515579i 0.471062 0.882100i \(-0.343871\pi\)
−0.358166 + 0.933658i \(0.616598\pi\)
\(314\) 4.15576e7 6.46649e7i 1.34234 2.08872i
\(315\) 4.68650e6 1.37608e6i 0.149940 0.0440263i
\(316\) −7.30552e7 1.05038e7i −2.31521 0.332877i
\(317\) 5.93648e6 + 1.29991e7i 0.186359 + 0.408070i 0.979633 0.200795i \(-0.0643525\pi\)
−0.793274 + 0.608865i \(0.791625\pi\)
\(318\) 4.66301e7 6.70440e6i 1.45006 0.208487i
\(319\) 8.78460e6 + 1.36691e7i 0.270614 + 0.421083i
\(320\) −1.97542e7 1.71171e7i −0.602851 0.522374i
\(321\) 1.82846e7i 0.552804i
\(322\) −6.06224e7 1.00773e8i −1.81579 3.01841i
\(323\) −7.64279e6 −0.226801
\(324\) −6.61316e6 + 7.63200e6i −0.194435 + 0.224390i
\(325\) −1.53416e6 + 985942.i −0.0446909 + 0.0287211i
\(326\) −9.59017e6 6.67011e7i −0.276805 1.92522i
\(327\) −9.31176e6 + 4.25254e6i −0.266311 + 0.121620i
\(328\) −3.83637e6 + 2.66825e7i −0.108717 + 0.756145i
\(329\) −1.48979e7 5.07376e7i −0.418348 1.42476i
\(330\) −9.25994e6 5.95100e6i −0.257672 0.165595i
\(331\) −1.54471e6 + 3.38245e6i −0.0425956 + 0.0932713i −0.929734 0.368233i \(-0.879963\pi\)
0.887138 + 0.461504i \(0.152690\pi\)
\(332\) 1.63298e7 5.56143e7i 0.446239 1.51975i
\(333\) 7.37898e6 6.39392e6i 0.199831 0.173155i
\(334\) 2.02066e7 + 2.33196e7i 0.542317 + 0.625867i
\(335\) 155126. + 45549.2i 0.00412621 + 0.00121156i
\(336\) −1.27011e8 5.80039e7i −3.34829 1.52911i
\(337\) −2.44860e7 + 3.81010e7i −0.639776 + 0.995512i 0.358305 + 0.933604i \(0.383355\pi\)
−0.998082 + 0.0619072i \(0.980282\pi\)
\(338\) 7.07702e7 2.07800e7i 1.83274 0.538140i
\(339\) −1.48209e7 2.13093e6i −0.380432 0.0546978i
\(340\) −1.62115e6 3.54982e6i −0.0412464 0.0903170i
\(341\) 5.04749e7 7.25720e6i 1.27295 0.183023i
\(342\) 2.15054e7 + 3.34631e7i 0.537613 + 0.836541i
\(343\) 7.72982e7 + 6.69792e7i 1.91552 + 1.65981i
\(344\) 1.84412e8i 4.53015i
\(345\) −5.57211e6 + 2.34781e6i −0.135695 + 0.0571749i
\(346\) −4.98440e7 −1.20333
\(347\) 5.43822e6 6.27605e6i 0.130157 0.150210i −0.686930 0.726724i \(-0.741042\pi\)
0.817087 + 0.576514i \(0.195587\pi\)
\(348\) 2.52224e7 1.62094e7i 0.598478 0.384618i
\(349\) 3.44099e6 + 2.39326e7i 0.0809482 + 0.563007i 0.989422 + 0.145065i \(0.0463393\pi\)
−0.908474 + 0.417942i \(0.862752\pi\)
\(350\) −1.28442e8 + 5.86577e7i −2.99574 + 1.36811i
\(351\) −67296.4 + 468057.i −0.00155622 + 0.0108237i
\(352\) 4.59110e7 + 1.56358e8i 1.05266 + 3.58504i
\(353\) −5.91807e7 3.80332e7i −1.34542 0.864646i −0.348070 0.937468i \(-0.613163\pi\)
−0.997345 + 0.0728226i \(0.976799\pi\)
\(354\) −9.98391e6 + 2.18617e7i −0.225056 + 0.492804i
\(355\) 5.84493e6 1.99060e7i 0.130645 0.444937i
\(356\) −9.21325e7 + 7.98333e7i −2.04203 + 1.76943i
\(357\) −4.60685e6 5.31659e6i −0.101251 0.116850i
\(358\) −5.64235e7 1.65674e7i −1.22973 0.361082i
\(359\) 8.10174e6 + 3.69994e6i 0.175103 + 0.0799671i 0.501038 0.865425i \(-0.332952\pi\)
−0.325935 + 0.945392i \(0.605679\pi\)
\(360\) −6.87155e6 + 1.06923e7i −0.147281 + 0.229174i
\(361\) 6.42558e7 1.88672e7i 1.36581 0.401039i
\(362\) 7.62679e7 + 1.09657e7i 1.60774 + 0.231158i
\(363\) 2.04542e6 + 4.47885e6i 0.0427625 + 0.0936367i
\(364\) −1.33235e7 + 1.91562e6i −0.276257 + 0.0397197i
\(365\) −1.10149e7 1.71396e7i −0.226518 0.352469i
\(366\) 1.80764e6 + 1.56633e6i 0.0368696 + 0.0319477i
\(367\) 1.81997e7i 0.368185i −0.982909 0.184093i \(-0.941065\pi\)
0.982909 0.184093i \(-0.0589346\pi\)
\(368\) 1.64335e8 + 5.35892e7i 3.29752 + 1.07531i
\(369\) 3.99261e6 0.0794654
\(370\) 1.28598e7 1.48410e7i 0.253880 0.292993i
\(371\) 1.04559e8 6.71958e7i 2.04757 1.31589i
\(372\) −1.33911e7 9.31369e7i −0.260127 1.80923i
\(373\) −7.15845e6 + 3.26915e6i −0.137941 + 0.0629954i −0.483190 0.875516i \(-0.660522\pi\)
0.345249 + 0.938511i \(0.387795\pi\)
\(374\) −2.25621e6 + 1.56923e7i −0.0431286 + 0.299966i
\(375\) 4.23303e6 + 1.44164e7i 0.0802708 + 0.273377i
\(376\) 1.15759e8 + 7.43938e7i 2.17766 + 1.39950i
\(377\) 583207. 1.27704e6i 0.0108842 0.0238332i
\(378\) −1.03152e7 + 3.51305e7i −0.190987 + 0.650442i
\(379\) −3.33280e7 + 2.88789e7i −0.612198 + 0.530472i −0.904841 0.425749i \(-0.860011\pi\)
0.292643 + 0.956222i \(0.405465\pi\)
\(380\) 3.81239e7 + 4.39973e7i 0.694778 + 0.801817i
\(381\) −2.21113e7 6.49245e6i −0.399796 0.117391i
\(382\) −8.89145e7 4.06059e7i −1.59508 0.728449i
\(383\) 1.25441e7 1.95190e7i 0.223277 0.347426i −0.711484 0.702702i \(-0.751977\pi\)
0.934761 + 0.355276i \(0.115613\pi\)
\(384\) 8.00317e7 2.34994e7i 1.41341 0.415015i
\(385\) −2.87450e7 4.13291e6i −0.503709 0.0724225i
\(386\) −7.65903e6 1.67709e7i −0.133172 0.291605i
\(387\) 2.70354e7 3.88710e6i 0.466444 0.0670645i
\(388\) −5.30347e7 8.25236e7i −0.907956 1.41281i
\(389\) 3.04586e7 + 2.63925e7i 0.517441 + 0.448366i 0.874013 0.485902i \(-0.161509\pi\)
−0.356572 + 0.934268i \(0.616054\pi\)
\(390\) 951061.i 0.0160330i
\(391\) 6.40982e6 + 5.89546e6i 0.107230 + 0.0986251i
\(392\) −4.59175e8 −7.62289
\(393\) −3.35969e7 + 3.87729e7i −0.553505 + 0.638778i
\(394\) 2.87673e7 1.84876e7i 0.470338 0.302268i
\(395\) 1.95802e6 + 1.36183e7i 0.0317706 + 0.220970i
\(396\) 5.46166e7 2.49426e7i 0.879507 0.401658i
\(397\) −1.47482e7 + 1.02576e8i −0.235704 + 1.63936i 0.437012 + 0.899456i \(0.356037\pi\)
−0.672716 + 0.739901i \(0.734872\pi\)
\(398\) −3.64885e7 1.24269e8i −0.578772 1.97111i
\(399\) 8.82856e7 + 5.67377e7i 1.38986 + 0.893209i
\(400\) 8.62153e7 1.88785e8i 1.34711 2.94977i
\(401\) −1.72510e7 + 5.87516e7i −0.267536 + 0.911143i 0.710674 + 0.703522i \(0.248390\pi\)
−0.978209 + 0.207621i \(0.933428\pi\)
\(402\) −915919. + 793648.i −0.0140987 + 0.0122166i
\(403\) −2.88533e6 3.32984e6i −0.0440839 0.0508755i
\(404\) 1.56217e8 + 4.58695e7i 2.36911 + 0.695633i
\(405\) 1.71237e6 + 782015.i 0.0257771 + 0.0117720i
\(406\) 5.87692e7 9.14466e7i 0.878155 1.36644i
\(407\) −5.57005e7 + 1.63551e7i −0.826182 + 0.242589i
\(408\) 1.81197e7 + 2.60522e6i 0.266791 + 0.0383587i
\(409\) 2.69579e7 + 5.90296e7i 0.394019 + 0.862780i 0.997842 + 0.0656621i \(0.0209160\pi\)
−0.603823 + 0.797118i \(0.706357\pi\)
\(410\) 7.94842e6 1.14281e6i 0.115327 0.0165815i
\(411\) −2.37447e7 3.69475e7i −0.342012 0.532181i
\(412\) −1.88169e8 1.63050e8i −2.69065 2.33146i
\(413\) 6.34077e7i 0.900103i
\(414\) 7.77651e6 4.46534e7i 0.109593 0.629294i
\(415\) −1.08048e7 −0.151173
\(416\) 9.22053e6 1.06411e7i 0.128078 0.147810i
\(417\) −2.35376e7 + 1.51267e7i −0.324604 + 0.208610i
\(418\) −3.36580e7 2.34096e8i −0.460850 3.20528i
\(419\) 3.96062e7 1.80876e7i 0.538420 0.245888i −0.127595 0.991826i \(-0.540726\pi\)
0.666015 + 0.745938i \(0.267999\pi\)
\(420\) −7.62608e6 + 5.30405e7i −0.102933 + 0.715913i
\(421\) 1.45743e7 + 4.96355e7i 0.195318 + 0.665191i 0.997663 + 0.0683305i \(0.0217672\pi\)
−0.802345 + 0.596860i \(0.796415\pi\)
\(422\) 7.66448e7 + 4.92566e7i 1.01987 + 0.655431i
\(423\) 8.46637e6 1.85388e7i 0.111860 0.244940i
\(424\) −9.11192e7 + 3.10323e8i −1.19540 + 4.07115i
\(425\) 7.90243e6 6.84749e6i 0.102942 0.0892000i
\(426\) 1.01842e8 + 1.17532e8i 1.31734 + 1.52029i
\(427\) 6.05480e6 + 1.77785e6i 0.0777707 + 0.0228355i
\(428\) 1.82472e8 + 8.33323e7i 2.32737 + 1.06287i
\(429\) 1.52002e6 2.36520e6i 0.0192521 0.0299568i
\(430\) 5.27089e7 1.54767e7i 0.662947 0.194659i
\(431\) −7.17307e7 1.03133e7i −0.895928 0.128815i −0.321058 0.947060i \(-0.604038\pi\)
−0.574870 + 0.818245i \(0.694947\pi\)
\(432\) −2.23555e7 4.89516e7i −0.277289 0.607178i
\(433\) 5.94401e7 8.54620e6i 0.732177 0.105271i 0.233865 0.972269i \(-0.424863\pi\)
0.498312 + 0.866998i \(0.333954\pi\)
\(434\) −1.84440e8 2.86994e8i −2.25624 3.51078i
\(435\) −4.22386e6 3.65999e6i −0.0513147 0.0444644i
\(436\) 1.12308e8i 1.35504i
\(437\) −1.16526e8 5.74458e7i −1.39629 0.688357i
\(438\) 1.52725e8 1.81755
\(439\) −6.69269e7 + 7.72378e7i −0.791056 + 0.912928i −0.997855 0.0654557i \(-0.979150\pi\)
0.206799 + 0.978383i \(0.433695\pi\)
\(440\) 6.35728e7 4.08558e7i 0.746300 0.479618i
\(441\) 9.67866e6 + 6.73166e7i 0.112849 + 0.784885i
\(442\) 1.24601e6 569036.i 0.0144297 0.00658981i
\(443\) −2.28941e7 + 1.59232e8i −0.263337 + 1.83155i 0.243967 + 0.969784i \(0.421551\pi\)
−0.507304 + 0.861767i \(0.669358\pi\)
\(444\) 3.01787e7 + 1.02779e8i 0.344787 + 1.17424i
\(445\) 1.91176e7 + 1.22862e7i 0.216947 + 0.139424i
\(446\) −1.25648e8 + 2.75130e8i −1.41628 + 3.10122i
\(447\) −2.38566e7 + 8.12482e7i −0.267108 + 0.909685i
\(448\) 3.90679e8 3.38525e8i 4.34496 3.76493i
\(449\) −4.25948e7 4.91570e7i −0.470563 0.543059i 0.470005 0.882664i \(-0.344252\pi\)
−0.940568 + 0.339605i \(0.889707\pi\)
\(450\) −5.22169e7 1.53323e7i −0.573025 0.168255i
\(451\) −2.15934e7 9.86139e6i −0.235392 0.107500i
\(452\) 8.88121e7 1.38194e8i 0.961739 1.49649i
\(453\) −5.48115e7 + 1.60941e7i −0.589627 + 0.173130i
\(454\) 6.44395e6 + 926499.i 0.0688627 + 0.00990097i
\(455\) 1.04235e6 + 2.28243e6i 0.0110657 + 0.0242306i
\(456\) −2.70308e8 + 3.88644e7i −2.85078 + 0.409881i
\(457\) 9.30504e7 + 1.44789e8i 0.974922 + 1.51701i 0.851300 + 0.524679i \(0.175815\pi\)
0.123622 + 0.992329i \(0.460549\pi\)
\(458\) −6.74620e7 5.84561e7i −0.702203 0.608462i
\(459\) 2.71133e6i 0.0280378i
\(460\) 1.96485e6 6.63072e7i 0.0201863 0.681220i
\(461\) −8.12493e7 −0.829310 −0.414655 0.909979i \(-0.636098\pi\)
−0.414655 + 0.909979i \(0.636098\pi\)
\(462\) 1.42557e8 1.64520e8i 1.44565 1.66837i
\(463\) 1.09256e8 7.02148e7i 1.10079 0.707433i 0.141521 0.989935i \(-0.454801\pi\)
0.959267 + 0.282502i \(0.0911644\pi\)
\(464\) 2.27379e7 + 1.58145e8i 0.227613 + 1.58308i
\(465\) −1.59552e7 + 7.28651e6i −0.158688 + 0.0724704i
\(466\) −2.60608e7 + 1.81257e8i −0.257531 + 1.79117i
\(467\) −2.97165e7 1.01205e8i −0.291774 0.993692i −0.966723 0.255827i \(-0.917652\pi\)
0.674948 0.737865i \(-0.264166\pi\)
\(468\) −4.36429e6 2.80476e6i −0.0425771 0.0273626i
\(469\) −1.32827e6 + 2.90850e6i −0.0128756 + 0.0281936i
\(470\) 1.15483e7 3.93300e7i 0.111231 0.378817i
\(471\) 5.90704e7 5.11848e7i 0.565337 0.489867i
\(472\) −1.08051e8 1.24698e8i −1.02755 1.18586i
\(473\) −1.55817e8 4.57521e7i −1.47242 0.432343i
\(474\) −9.38141e7 4.28435e7i −0.880913 0.402300i
\(475\) −8.43333e7 + 1.31225e8i −0.786898 + 1.22444i
\(476\) 7.40528e7 2.17439e7i 0.686627 0.201612i
\(477\) 4.74151e7 + 6.81726e6i 0.436879 + 0.0628138i
\(478\) 4.00130e7 + 8.76161e7i 0.366367 + 0.802233i
\(479\) 8.69842e7 1.25064e7i 0.791469 0.113796i 0.265289 0.964169i \(-0.414533\pi\)
0.526181 + 0.850373i \(0.323624\pi\)
\(480\) −3.03045e7 4.71547e7i −0.274020 0.426384i
\(481\) 3.79072e6 + 3.28468e6i 0.0340633 + 0.0295160i
\(482\) 4.63398e7i 0.413822i
\(483\) −3.02769e7 1.15686e8i −0.268702 1.02669i
\(484\) −5.40188e7 −0.476441
\(485\) −1.19749e7 + 1.38198e7i −0.104966 + 0.121137i
\(486\) −1.18712e7 + 7.62917e6i −0.103416 + 0.0664612i
\(487\) −2.83346e7 1.97072e8i −0.245319 1.70623i −0.624598 0.780947i \(-0.714737\pi\)
0.379279 0.925282i \(-0.376172\pi\)
\(488\) −1.49370e7 + 6.82149e6i −0.128530 + 0.0586976i
\(489\) 9.75162e6 6.78240e7i 0.0833970 0.580039i
\(490\) 3.85362e7 + 1.31242e8i 0.327552 + 1.11554i
\(491\) 5.22470e7 + 3.35771e7i 0.441385 + 0.283661i 0.742398 0.669959i \(-0.233688\pi\)
−0.301013 + 0.953620i \(0.597325\pi\)
\(492\) −1.81963e7 + 3.98444e7i −0.152788 + 0.334559i
\(493\) −2.26787e6 + 7.72364e6i −0.0189268 + 0.0644587i
\(494\) −1.54434e7 + 1.33818e7i −0.128104 + 0.111003i
\(495\) −7.32961e6 8.45882e6i −0.0604317 0.0697420i
\(496\) 4.81113e8 + 1.41268e8i 3.94278 + 1.15770i
\(497\) 3.73222e8 + 1.70445e8i 3.04017 + 1.38840i
\(498\) 4.37887e7 6.81365e7i 0.354547 0.551686i
\(499\) 1.04897e8 3.08004e7i 0.844228 0.247888i 0.169110 0.985597i \(-0.445911\pi\)
0.675118 + 0.737709i \(0.264093\pi\)
\(500\) −1.63161e8 2.34590e7i −1.30529 0.187672i
\(501\) 1.30339e7 + 2.85404e7i 0.103648 + 0.226958i
\(502\) 6.58836e7 9.47263e6i 0.520794 0.0748789i
\(503\) −4.16155e6 6.47549e6i −0.0327002 0.0508825i 0.824519 0.565835i \(-0.191446\pi\)
−0.857219 + 0.514952i \(0.827810\pi\)
\(504\) −1.89969e8 1.64609e8i −1.48386 1.28577i
\(505\) 3.03501e7i 0.235660i
\(506\) −1.52348e8 + 2.22294e8i −1.17594 + 1.71584i
\(507\) 7.49996e7 0.575486
\(508\) 1.65564e8 1.91071e8i 1.26291 1.45748i
\(509\) −1.02088e7 + 6.56077e6i −0.0774140 + 0.0497510i −0.578775 0.815487i \(-0.696469\pi\)
0.501361 + 0.865238i \(0.332833\pi\)
\(510\) −776066. 5.39766e6i −0.00585043 0.0406907i
\(511\) 3.66521e8 1.67384e8i 2.74685 1.25445i
\(512\) −1.57472e7 + 1.09524e8i −0.117326 + 0.816019i
\(513\) 1.13953e7 + 3.88089e7i 0.0844062 + 0.287461i
\(514\) −3.45389e8 2.21968e8i −2.54343 1.63456i
\(515\) −1.92808e7 + 4.22192e7i −0.141158 + 0.309092i
\(516\) −8.44223e7 + 2.87516e8i −0.614480 + 2.09273i
\(517\) −9.15781e7 + 7.93529e7i −0.662705 + 0.574237i
\(518\) 2.54328e8 + 2.93510e8i 1.82980 + 2.11171i
\(519\) −4.86301e7 1.42791e7i −0.347859 0.102141i
\(520\) −5.93933e6 2.71240e6i −0.0422403 0.0192905i
\(521\) −2.14481e7 + 3.33738e7i −0.151661 + 0.235990i −0.908768 0.417302i \(-0.862976\pi\)
0.757107 + 0.653291i \(0.226612\pi\)
\(522\) 4.01984e7 1.18033e7i 0.282616 0.0829837i
\(523\) −4.57953e7 6.58437e6i −0.320122 0.0460267i −0.0196194 0.999808i \(-0.506245\pi\)
−0.300503 + 0.953781i \(0.597155\pi\)
\(524\) −2.33817e8 5.11989e8i −1.62511 3.55850i
\(525\) −1.42118e8 + 2.04335e7i −0.982137 + 0.141210i
\(526\) 1.15962e8 + 1.80440e8i 0.796816 + 1.23987i
\(527\) 1.90926e7 + 1.65438e7i 0.130446 + 0.113032i
\(528\) 3.19963e8i 2.17369i
\(529\) 5.34149e7 + 1.38063e8i 0.360824 + 0.932634i
\(530\) 9.63444e7 0.647141
\(531\) −1.60036e7 + 1.84691e7i −0.106889 + 0.123357i
\(532\) −9.68578e8 + 6.22467e8i −6.43279 + 4.13410i
\(533\) 291899. + 2.03021e6i 0.00192775 + 0.0134078i
\(534\) −1.54956e8 + 7.07661e7i −1.01762 + 0.464731i
\(535\) 5.32174e6 3.70135e7i 0.0347530 0.241713i
\(536\) −2.34412e6 7.98333e6i −0.0152225 0.0518430i
\(537\) −5.03032e7 3.23279e7i −0.324842 0.208763i
\(538\) 4.04177e7 8.85023e7i 0.259552 0.568340i
\(539\) 1.13920e8 3.87977e8i 0.727503 2.47765i
\(540\) −1.56083e7 + 1.35247e7i −0.0991229 + 0.0858905i
\(541\) −7.41176e7 8.55363e7i −0.468090 0.540205i 0.471789 0.881711i \(-0.343608\pi\)
−0.939879 + 0.341506i \(0.889063\pi\)
\(542\) 4.42482e8 + 1.29925e8i 2.77906 + 0.816006i
\(543\) 7.12691e7 + 3.25475e7i 0.445145 + 0.203291i
\(544\) −4.36471e7 + 6.79162e7i −0.271118 + 0.421868i
\(545\) −2.00875e7 + 5.89821e6i −0.124090 + 0.0364360i
\(546\) −1.86176e7 2.67681e6i −0.114379 0.0164452i
\(547\) −6.22035e7 1.36207e8i −0.380061 0.832216i −0.998909 0.0467058i \(-0.985128\pi\)
0.618848 0.785511i \(-0.287600\pi\)
\(548\) 4.76935e8 6.85730e7i 2.89813 0.416688i
\(549\) 1.31490e6 + 2.04603e6i 0.00794651 + 0.0123650i
\(550\) 2.44538e8 + 2.11893e8i 1.46980 + 1.27359i
\(551\) 1.20085e8i 0.717849i
\(552\) 2.56680e8 + 1.75914e8i 1.52607 + 1.04588i
\(553\) −2.72099e8 −1.60898
\(554\) −4.89027e7 + 5.64367e7i −0.287609 + 0.331919i
\(555\) 1.67982e7 1.07955e7i 0.0982615 0.0631488i
\(556\) −4.36847e7 3.03834e8i −0.254159 1.76771i
\(557\) −2.49974e8 + 1.14159e8i −1.44654 + 0.660612i −0.975197 0.221340i \(-0.928957\pi\)
−0.471341 + 0.881951i \(0.656230\pi\)
\(558\) 1.87121e7 1.30146e8i 0.107701 0.749078i
\(559\) 3.95311e6 + 1.34630e7i 0.0226310 + 0.0770740i
\(560\) −2.40225e8 1.54383e8i −1.36790 0.879097i
\(561\) −6.69673e6 + 1.46638e7i −0.0379292 + 0.0830535i
\(562\) 1.21735e8 4.14590e8i 0.685812 2.33566i
\(563\) 6.11300e6 5.29695e6i 0.0342554 0.0296825i −0.637565 0.770397i \(-0.720058\pi\)
0.671820 + 0.740714i \(0.265513\pi\)
\(564\) 1.46423e8 + 1.68981e8i 0.816152 + 0.941890i
\(565\) −2.93818e7 8.62726e6i −0.162904 0.0478330i
\(566\) −1.57351e8 7.18597e7i −0.867800 0.396311i
\(567\) −2.01280e7 + 3.13198e7i −0.110421 + 0.171819i
\(568\) −1.02443e9 + 3.00800e8i −5.59033 + 1.64147i
\(569\) 1.64432e7 + 2.36418e6i 0.0892587 + 0.0128335i 0.186799 0.982398i \(-0.440189\pi\)
−0.0975407 + 0.995232i \(0.531098\pi\)
\(570\) 3.37939e7 + 7.39983e7i 0.182479 + 0.399574i
\(571\) −1.12721e8 + 1.62069e7i −0.605478 + 0.0870546i −0.438234 0.898861i \(-0.644396\pi\)
−0.167244 + 0.985916i \(0.553487\pi\)
\(572\) 1.66761e7 + 2.59485e7i 0.0891058 + 0.138651i
\(573\) −7.51165e7 6.50888e7i −0.399274 0.345973i
\(574\) 1.58812e8i 0.839746i
\(575\) 1.71952e8 4.50027e7i 0.904490 0.236720i
\(576\) 1.99236e8 1.04256
\(577\) 7.34663e7 8.47846e7i 0.382438 0.441357i −0.531594 0.846999i \(-0.678407\pi\)
0.914032 + 0.405643i \(0.132952\pi\)
\(578\) 3.04688e8 1.95811e8i 1.57787 1.01404i
\(579\) −2.66804e6 1.85566e7i −0.0137454 0.0956011i
\(580\) 5.57753e7 2.54717e7i 0.285863 0.130549i
\(581\) 3.04107e7 2.11511e8i 0.155060 1.07846i
\(582\) −3.86186e7 1.31523e8i −0.195897 0.667163i
\(583\) −2.39599e8 1.53981e8i −1.20915 0.777073i
\(584\) −4.35566e8 + 9.53757e8i −2.18683 + 4.78850i
\(585\) −272456. + 927899.i −0.00136091 + 0.00463482i
\(586\) 4.87551e8 4.22466e8i 2.42286 2.09942i
\(587\) 1.10928e8 + 1.28018e8i 0.548437 + 0.632930i 0.960518 0.278217i \(-0.0897435\pi\)
−0.412081 + 0.911147i \(0.635198\pi\)
\(588\) −7.15899e8 2.10207e8i −3.52143 1.03399i
\(589\) −3.42815e8 1.56558e8i −1.67770 0.766179i
\(590\) −2.65732e7 + 4.13488e7i −0.129386 + 0.201329i
\(591\) 3.33629e7 9.79624e6i 0.161623 0.0474567i
\(592\) −5.65016e8 8.12370e7i −2.72330 0.391552i
\(593\) 1.40100e8 + 3.06776e8i 0.671852 + 1.47115i 0.871051 + 0.491192i \(0.163439\pi\)
−0.199199 + 0.979959i \(0.563834\pi\)
\(594\) 8.30471e7 1.19404e7i 0.396246 0.0569716i
\(595\) −7.77824e6 1.21032e7i −0.0369258 0.0574577i
\(596\) −7.02093e8 6.08367e8i −3.31631 2.87360i
\(597\) 1.31695e8i 0.618937i
\(598\) 2.32744e7 + 689678.i 0.108836 + 0.00322510i
\(599\) 1.92484e8 0.895600 0.447800 0.894134i \(-0.352208\pi\)
0.447800 + 0.894134i \(0.352208\pi\)
\(600\) 2.44670e8 2.82365e8i 1.13273 1.30724i
\(601\) 5.44748e7 3.50089e7i 0.250942 0.161270i −0.409123 0.912479i \(-0.634165\pi\)
0.660065 + 0.751209i \(0.270529\pi\)
\(602\) 1.54615e8 + 1.07537e9i 0.708700 + 4.92912i
\(603\) −1.12097e6 + 511931.i −0.00511262 + 0.00233485i
\(604\) 8.91918e7 6.20343e8i 0.404775 2.81528i
\(605\) 2.83697e6 + 9.66183e6i 0.0128112 + 0.0436308i
\(606\) 1.91391e8 + 1.23000e8i 0.860012 + 0.552696i
\(607\) 3.40102e7 7.44719e7i 0.152070 0.332986i −0.818230 0.574890i \(-0.805045\pi\)
0.970300 + 0.241904i \(0.0777720\pi\)
\(608\) 3.39306e8 1.15557e9i 1.50967 5.14145i
\(609\) 8.35351e7 7.23836e7i 0.369843 0.320471i
\(610\) 3.20332e6 + 3.69683e6i 0.0141127 + 0.0162869i
\(611\) 1.00458e7 + 2.94970e6i 0.0440412 + 0.0129317i
\(612\) 2.70578e7 + 1.23569e7i 0.118042 + 0.0539081i
\(613\) 4.45775e7 6.93639e7i 0.193524 0.301129i −0.730908 0.682476i \(-0.760903\pi\)
0.924432 + 0.381347i \(0.124540\pi\)
\(614\) −1.63205e8 + 4.79212e7i −0.705063 + 0.207025i
\(615\) 8.08223e6 + 1.16205e6i 0.0347461 + 0.00499573i
\(616\) 6.20849e8 + 1.35947e9i 2.65610 + 5.81604i
\(617\) −1.80439e8 + 2.59431e7i −0.768199 + 0.110450i −0.515262 0.857032i \(-0.672306\pi\)
−0.252937 + 0.967483i \(0.581396\pi\)
\(618\) −1.88100e8 2.92689e8i −0.796935 1.24005i
\(619\) 2.72130e8 + 2.35802e8i 1.14737 + 0.994203i 0.999987 + 0.00512327i \(0.00163080\pi\)
0.147384 + 0.989079i \(0.452915\pi\)
\(620\) 1.92434e8i 0.807434i
\(621\) 2.03792e7 4.13381e7i 0.0850967 0.172614i
\(622\) 6.75167e8 2.80569
\(623\) −2.94317e8 + 3.39660e8i −1.21717 + 1.40469i
\(624\) 2.32570e7 1.49464e7i 0.0957195 0.0615152i
\(625\) −2.81118e7 1.95522e8i −0.115146 0.800858i
\(626\) −5.30719e7 + 2.42371e7i −0.216342 + 0.0988003i
\(627\) 3.42246e7 2.38037e8i 0.138847 0.965701i
\(628\) 2.41587e8 + 8.22770e8i 0.975427 + 3.32200i
\(629\) −2.41942e7 1.55487e7i −0.0972208 0.0624800i
\(630\) −3.11058e7 + 6.81122e7i −0.124400 + 0.272398i
\(631\) −1.64870e7 + 5.61496e7i −0.0656227 + 0.223490i −0.985775 0.168070i \(-0.946246\pi\)
0.920152 + 0.391561i \(0.128065\pi\)
\(632\) 5.35111e8 4.63676e8i 2.11979 1.83681i
\(633\) 6.06674e7 + 7.00139e7i 0.239191 + 0.276041i
\(634\) −2.10204e8 6.17215e7i −0.824847 0.242197i
\(635\) −4.28701e7 1.95781e7i −0.167430 0.0764627i
\(636\) −2.84128e8 + 4.42111e8i −1.10444 + 1.71854i
\(637\) −3.35222e7 + 9.84302e6i −0.129692 + 0.0380811i
\(638\) −2.46560e8 3.54500e7i −0.949425 0.136507i
\(639\) 6.56916e7 + 1.43845e8i 0.251772 + 0.551304i
\(640\) 1.68847e8 2.42766e7i 0.644102 0.0926078i
\(641\) −1.11897e8 1.74115e8i −0.424857 0.661091i 0.561165 0.827704i \(-0.310353\pi\)
−0.986022 + 0.166613i \(0.946717\pi\)
\(642\) 2.11845e8 + 1.83564e8i 0.800594 + 0.693718i
\(643\) 2.05641e8i 0.773530i 0.922178 + 0.386765i \(0.126407\pi\)
−0.922178 + 0.386765i \(0.873593\pi\)
\(644\) 1.29248e9 + 2.25089e8i 4.83911 + 0.842744i
\(645\) 5.58589e7 0.208168
\(646\) 7.67280e7 8.85488e7i 0.284614 0.328462i
\(647\) −1.55227e8 + 9.97583e7i −0.573132 + 0.368329i −0.794873 0.606776i \(-0.792462\pi\)
0.221741 + 0.975106i \(0.428826\pi\)
\(648\) −1.37874e7 9.58933e7i −0.0506707 0.352422i
\(649\) 1.32170e8 6.03601e7i 0.483503 0.220809i
\(650\) 3.97874e6 2.76727e7i 0.0144879 0.100766i
\(651\) −9.77313e7 3.32842e8i −0.354234 1.20641i
\(652\) 6.32409e8 + 4.06425e8i 2.28168 + 1.46635i
\(653\) 1.63582e8 3.58196e8i 0.587485 1.28641i −0.349464 0.936950i \(-0.613636\pi\)
0.936950 0.349464i \(-0.113636\pi\)
\(654\) 4.42136e7 1.50578e8i 0.158060 0.538304i
\(655\) −7.92948e7 + 6.87094e7i −0.282177 + 0.244507i
\(656\) −1.52859e8 1.76409e8i −0.541477 0.624898i
\(657\) 1.49005e8 + 4.37518e7i 0.525418 + 0.154277i
\(658\) 7.37406e8 + 3.36762e8i 2.58839 + 1.18208i
\(659\) 9.04018e7 1.40668e8i 0.315879 0.491517i −0.646616 0.762815i \(-0.723817\pi\)
0.962495 + 0.271298i \(0.0874529\pi\)
\(660\) 1.17820e8 3.45950e7i 0.409814 0.120332i
\(661\) −4.07220e7 5.85494e6i −0.141002 0.0202730i 0.0714525 0.997444i \(-0.477237\pi\)
−0.212454 + 0.977171i \(0.568146\pi\)
\(662\) −2.36811e7 5.18543e7i −0.0816257 0.178735i
\(663\) 1.37868e6 198225.i 0.00473068 0.000680170i
\(664\) 3.00625e8 + 4.67781e8i 1.02688 + 1.59786i
\(665\) 1.62203e8 + 1.40549e8i 0.551560 + 0.477930i
\(666\) 1.49683e8i 0.506697i
\(667\) −9.26304e7 + 1.00712e8i −0.312159 + 0.339394i
\(668\) −3.44222e8 −1.15481
\(669\) −2.01405e8 + 2.32434e8i −0.672656 + 0.776286i
\(670\) −2.08508e6 + 1.34000e6i −0.00693264 + 0.00445534i
\(671\) −2.05794e6 1.43133e7i −0.00681186 0.0473776i
\(672\) 1.00838e9 4.60511e8i 3.32288 1.51751i
\(673\) 7.03570e7 4.89344e8i 0.230814 1.60535i −0.463784 0.885948i \(-0.653509\pi\)
0.694598 0.719398i \(-0.255582\pi\)
\(674\) −1.95614e8 6.66199e8i −0.638880 2.17582i
\(675\) −4.65529e7 2.99177e7i −0.151368 0.0972786i
\(676\) −3.41811e8 + 7.48461e8i −1.10649 + 2.42286i
\(677\) −9.54586e7 + 3.25102e8i −0.307644 + 1.04774i 0.650035 + 0.759904i \(0.274754\pi\)
−0.957680 + 0.287836i \(0.907064\pi\)
\(678\) 1.73480e8 1.50321e8i 0.556622 0.482316i
\(679\) −2.36828e8 2.73314e8i −0.756524 0.873075i
\(680\) 3.59214e7 + 1.05475e7i 0.114242 + 0.0335445i
\(681\) 6.02159e6 + 2.74997e6i 0.0190664 + 0.00870736i
\(682\) −4.22650e8 + 6.57656e8i −1.33238 + 2.07322i
\(683\) −2.06318e8 + 6.05805e7i −0.647553 + 0.190139i −0.588984 0.808145i \(-0.700472\pi\)
−0.0585688 + 0.998283i \(0.518654\pi\)
\(684\) −4.39229e8 6.31516e7i −1.37253 0.197340i
\(685\) −3.73128e7 8.17035e7i −0.116088 0.254196i
\(686\) −1.55203e9 + 2.23149e8i −4.80760 + 0.691229i
\(687\) −4.90727e7 7.63587e7i −0.151346 0.235498i
\(688\) −1.20681e9 1.04571e9i −3.70573 3.21103i
\(689\) 2.46085e7i 0.0752364i
\(690\) 2.87383e7 8.81283e7i 0.0874811 0.268268i
\(691\) 2.95689e8 0.896193 0.448097 0.893985i \(-0.352102\pi\)
0.448097 + 0.893985i \(0.352102\pi\)
\(692\) 3.64131e8 4.20229e8i 1.09885 1.26814i
\(693\) 1.86217e8 1.19674e8i 0.559524 0.359584i
\(694\) 1.81180e7 + 1.26014e8i 0.0542042 + 0.376998i
\(695\) −5.20496e7 + 2.37703e7i −0.155047 + 0.0708076i
\(696\) −4.09337e7 + 2.84700e8i −0.121410 + 0.844422i
\(697\) −3.31330e6 1.12840e7i −0.00978502 0.0333247i
\(698\) −3.11826e8 2.00399e8i −0.916952 0.589289i
\(699\) −7.73518e7 + 1.69377e8i −0.226485 + 0.495932i
\(700\) 4.43787e8 1.51140e9i 1.29384 4.40642i
\(701\) −4.82252e8 + 4.17874e8i −1.39997 + 1.21308i −0.453107 + 0.891456i \(0.649685\pi\)
−0.946866 + 0.321628i \(0.895770\pi\)
\(702\) −4.74726e6 5.47863e6i −0.0137225 0.0158366i
\(703\) 4.11655e8 + 1.20873e8i 1.18486 + 0.347907i
\(704\) −1.07754e9 4.92095e8i −3.08827 1.41036i
\(705\) 2.25341e7 3.50638e7i 0.0643093 0.100067i
\(706\) 1.03478e9 3.03839e8i 2.94059 0.863434i
\(707\) 5.94123e8 + 8.54220e7i 1.68119 + 0.241719i
\(708\) −1.11377e8 2.43882e8i −0.313831 0.687194i
\(709\) −3.44624e8 + 4.95494e7i −0.966956 + 0.139027i −0.607661 0.794197i \(-0.707892\pi\)
−0.359295 + 0.933224i \(0.616983\pi\)
\(710\) 1.71951e8 + 2.67560e8i 0.480428 + 0.747561i
\(711\) −7.92558e7 6.86755e7i −0.220507 0.191070i
\(712\) 1.16952e9i 3.24016i
\(713\) 1.66745e8 + 3.95740e8i 0.460029 + 1.09180i
\(714\) 1.07847e8 0.296287
\(715\) 3.76536e6 4.34546e6i 0.0103012 0.0118882i
\(716\) 5.51874e8 3.54668e8i 1.50349 0.966235i
\(717\) 1.39386e7 + 9.69451e7i 0.0378148 + 0.263008i
\(718\) −1.24203e8 + 5.67214e7i −0.335550 + 0.153241i
\(719\) 1.36279e7 9.47841e7i 0.0366642 0.255005i −0.963243 0.268632i \(-0.913429\pi\)
0.999907 + 0.0136267i \(0.00433765\pi\)
\(720\) −3.10067e7 1.05599e8i −0.0830726 0.282919i
\(721\) −7.72201e8 4.96263e8i −2.06027 1.32406i
\(722\) −4.26487e8 + 9.33876e8i −1.13317 + 2.48129i
\(723\) 1.32752e7 4.52113e7i 0.0351259 0.119628i
\(724\) −6.49618e8 + 5.62897e8i −1.71176 + 1.48325i
\(725\) 1.07589e8 + 1.24164e8i 0.282328 + 0.325823i
\(726\) −7.24261e7 2.12662e7i −0.189271 0.0555751i
\(727\) −2.66282e7 1.21607e7i −0.0693007 0.0316486i 0.380463 0.924796i \(-0.375765\pi\)
−0.449764 + 0.893147i \(0.648492\pi\)
\(728\) 6.98136e7 1.08632e8i 0.180945 0.281555i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) 3.09160e8 + 4.44504e7i 0.794720 + 0.114263i
\(731\) −3.34213e7 7.31825e7i −0.0855601 0.187351i
\(732\) −2.64111e7 + 3.79734e6i −0.0673368 + 0.00968158i
\(733\) −2.01860e8 3.14100e8i −0.512552 0.797547i 0.484458 0.874815i \(-0.339017\pi\)
−0.997010 + 0.0772674i \(0.975380\pi\)
\(734\) 2.10860e8 + 1.82712e8i 0.533221 + 0.462038i
\(735\) 1.39086e8i 0.350284i
\(736\) −1.17595e9 + 7.07416e8i −2.94954 + 1.77436i
\(737\) 7.32704e6 0.0183032
\(738\) −4.00829e7 + 4.62581e7i −0.0997217 + 0.115085i
\(739\) −5.35839e8 + 3.44363e8i −1.32770 + 0.853263i −0.995933 0.0900966i \(-0.971282\pi\)
−0.331771 + 0.943360i \(0.607646\pi\)
\(740\) 3.11767e7 + 2.16839e8i 0.0769370 + 0.535108i
\(741\) −1.89008e7 + 8.63172e6i −0.0464544 + 0.0212150i
\(742\) −2.71167e8 + 1.88601e9i −0.663781 + 4.61670i
\(743\) 1.89319e8 + 6.44763e8i 0.461560 + 1.57193i 0.781130 + 0.624368i \(0.214643\pi\)
−0.319570 + 0.947563i \(0.603538\pi\)
\(744\) 7.59387e8 + 4.88028e8i 1.84393 + 1.18502i
\(745\) −7.19401e7 + 1.57527e8i −0.173981 + 0.380966i
\(746\) 3.39894e7 1.15757e8i 0.0818703 0.278825i
\(747\) 6.22416e7 5.39327e7i 0.149320 0.129387i
\(748\) −1.15818e8 1.33661e8i −0.276738 0.319373i
\(749\) 7.09586e8 + 2.08353e8i 1.68873 + 0.495855i
\(750\) −2.09523e8 9.56861e7i −0.496648 0.226812i
\(751\) −2.80990e8 + 4.37229e8i −0.663393 + 1.03226i 0.332621 + 0.943060i \(0.392067\pi\)
−0.996014 + 0.0891985i \(0.971569\pi\)
\(752\) −1.14325e9 + 3.35689e8i −2.68837 + 0.789376i
\(753\) 6.69928e7 + 9.63210e6i 0.156907 + 0.0225599i
\(754\) 8.94078e6 + 1.95776e7i 0.0208575 + 0.0456714i
\(755\) −1.15639e8 + 1.66264e7i −0.268697 + 0.0386328i
\(756\) −2.20824e8 3.43609e8i −0.511070 0.795241i
\(757\) 2.73697e8 + 2.37160e8i 0.630931 + 0.546705i 0.910546 0.413407i \(-0.135661\pi\)
−0.279615 + 0.960112i \(0.590207\pi\)
\(758\) 6.76058e8i 1.55230i
\(759\) −2.12319e8 + 1.73236e8i −0.485584 + 0.396199i
\(760\) −5.58495e8 −1.27227
\(761\) −1.99020e8 + 2.29682e8i −0.451589 + 0.521161i −0.935199 0.354122i \(-0.884780\pi\)
0.483610 + 0.875283i \(0.339325\pi\)
\(762\) 2.97202e8 1.91000e8i 0.671717 0.431686i
\(763\) −5.89241e7 4.09826e8i −0.132654 0.922627i
\(764\) 9.91899e8 4.52985e8i 2.22427 1.01579i
\(765\) 789131. 5.48853e6i 0.00176264