Properties

Label 69.7.f.a.7.7
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 7.7
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.49904 + 5.19217i) q^{2} +(13.1138 - 8.42776i) q^{3} +(2.39089 + 16.6290i) q^{4} +(160.721 - 73.3986i) q^{5} +(-15.2414 + 106.006i) q^{6} +(-169.038 - 575.691i) q^{7} +(-466.992 - 300.117i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(-4.49904 + 5.19217i) q^{2} +(13.1138 - 8.42776i) q^{3} +(2.39089 + 16.6290i) q^{4} +(160.721 - 73.3986i) q^{5} +(-15.2414 + 106.006i) q^{6} +(-169.038 - 575.691i) q^{7} +(-466.992 - 300.117i) q^{8} +(100.946 - 221.041i) q^{9} +(-341.990 + 1164.71i) q^{10} +(-1019.39 + 883.307i) q^{11} +(171.499 + 197.920i) q^{12} +(-1349.88 - 396.361i) q^{13} +(3749.60 + 1712.38i) q^{14} +(1489.08 - 2317.05i) q^{15} +(2627.63 - 771.542i) q^{16} +(-5658.08 - 813.510i) q^{17} +(693.521 + 1518.60i) q^{18} +(-9413.27 + 1353.42i) q^{19} +(1604.81 + 2497.13i) q^{20} +(-7068.53 - 6124.91i) q^{21} -9266.88i q^{22} +(2586.66 - 11888.9i) q^{23} -8653.37 q^{24} +(10211.5 - 11784.8i) q^{25} +(8131.14 - 5225.57i) q^{26} +(-539.088 - 3749.44i) q^{27} +(9169.02 - 4187.35i) q^{28} +(1462.05 - 10168.8i) q^{29} +(5331.10 + 18156.1i) q^{30} +(13883.0 + 8922.09i) q^{31} +(6942.74 - 15202.5i) q^{32} +(-5923.83 + 20174.7i) q^{33} +(29679.8 - 25717.7i) q^{34} +(-69422.9 - 80118.3i) q^{35} +(3917.03 + 1150.14i) q^{36} +(25882.9 + 11820.3i) q^{37} +(35323.5 - 54964.4i) q^{38} +(-21042.6 + 6178.65i) q^{39} +(-97083.4 - 13958.5i) q^{40} +(-35813.4 - 78420.4i) q^{41} +(63603.2 - 9144.76i) q^{42} +(63252.2 + 98422.4i) q^{43} +(-17125.8 - 14839.6i) q^{44} -42935.1i q^{45} +(50091.5 + 66918.9i) q^{46} +160134. q^{47} +(27956.0 - 32262.9i) q^{48} +(-203874. + 131022. i) q^{49} +(15246.3 + 106040. i) q^{50} +(-81055.3 + 37016.7i) q^{51} +(3363.67 - 23394.8i) q^{52} +(-41680.8 - 141952. i) q^{53} +(21893.1 + 14069.8i) q^{54} +(-99003.5 + 216787. i) q^{55} +(-93835.5 + 319574. i) q^{56} +(-112038. + 97081.4i) q^{57} +(46220.3 + 53341.1i) q^{58} +(67528.3 + 19828.1i) q^{59} +(42090.5 + 19222.1i) q^{60} +(96370.1 - 149955. i) q^{61} +(-108785. + 31942.3i) q^{62} +(-144315. - 20749.3i) q^{63} +(120507. + 263874. i) q^{64} +(-246046. + 35376.1i) q^{65} +(-78099.0 - 121524. i) q^{66} +(280785. + 243301. i) q^{67} -96033.3i q^{68} +(-66275.4 - 177708. i) q^{69} +728324. q^{70} +(-13801.1 + 15927.4i) q^{71} +(-113479. + 72928.5i) q^{72} +(-44324.4 - 308283. i) q^{73} +(-177821. + 81208.2i) q^{74} +(34593.6 - 240604. i) q^{75} +(-45012.2 - 153297. i) q^{76} +(680828. + 437542. i) q^{77} +(62590.7 - 137055. i) q^{78} +(22873.3 - 77899.4i) q^{79} +(365684. - 316867. i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(568298. + 166867. i) q^{82} +(63234.7 + 28878.3i) q^{83} +(84951.1 - 132187. i) q^{84} +(-969081. + 284548. i) q^{85} +(-795600. - 114390. i) q^{86} +(-66527.0 - 145674. i) q^{87} +(741143. - 106560. i) q^{88} +(-623925. - 970846. i) q^{89} +(222926. + 193167. i) q^{90} +844115. i q^{91} +(203884. + 14588.7i) q^{92} +257253. q^{93} +(-720450. + 831444. i) q^{94} +(-1.41357e6 + 908445. i) q^{95} +(-37076.8 - 257875. i) q^{96} +(-916052. + 418347. i) q^{97} +(236950. - 1.64802e6i) q^{98} +(92343.4 + 314493. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.49904 + 5.19217i −0.562380 + 0.649021i −0.963722 0.266907i \(-0.913998\pi\)
0.401342 + 0.915928i \(0.368544\pi\)
\(3\) 13.1138 8.42776i 0.485698 0.312139i
\(4\) 2.39089 + 16.6290i 0.0373576 + 0.259828i
\(5\) 160.721 73.3986i 1.28576 0.587189i 0.348991 0.937126i \(-0.386524\pi\)
0.936773 + 0.349937i \(0.113797\pi\)
\(6\) −15.2414 + 106.006i −0.0705619 + 0.490769i
\(7\) −169.038 575.691i −0.492823 1.67840i −0.711567 0.702618i \(-0.752014\pi\)
0.218745 0.975782i \(-0.429804\pi\)
\(8\) −466.992 300.117i −0.912093 0.586167i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) −341.990 + 1164.71i −0.341990 + 1.16471i
\(11\) −1019.39 + 883.307i −0.765883 + 0.663642i −0.947510 0.319726i \(-0.896409\pi\)
0.181627 + 0.983368i \(0.441864\pi\)
\(12\) 171.499 + 197.920i 0.0992471 + 0.114537i
\(13\) −1349.88 396.361i −0.614420 0.180410i −0.0403088 0.999187i \(-0.512834\pi\)
−0.574111 + 0.818777i \(0.694652\pi\)
\(14\) 3749.60 + 1712.38i 1.36647 + 0.624046i
\(15\) 1489.08 2317.05i 0.441209 0.686534i
\(16\) 2627.63 771.542i 0.641511 0.188365i
\(17\) −5658.08 813.510i −1.15166 0.165583i −0.460073 0.887881i \(-0.652177\pi\)
−0.691582 + 0.722298i \(0.743086\pi\)
\(18\) 693.521 + 1518.60i 0.118916 + 0.260391i
\(19\) −9413.27 + 1353.42i −1.37240 + 0.197321i −0.788764 0.614696i \(-0.789279\pi\)
−0.583633 + 0.812017i \(0.698370\pi\)
\(20\) 1604.81 + 2497.13i 0.200601 + 0.312142i
\(21\) −7068.53 6124.91i −0.763257 0.661366i
\(22\) 9266.88i 0.870293i
\(23\) 2586.66 11888.9i 0.212597 0.977140i
\(24\) −8653.37 −0.625967
\(25\) 10211.5 11784.8i 0.653539 0.754224i
\(26\) 8131.14 5225.57i 0.462628 0.297313i
\(27\) −539.088 3749.44i −0.0273885 0.190491i
\(28\) 9169.02 4187.35i 0.417685 0.190750i
\(29\) 1462.05 10168.8i 0.0599472 0.416942i −0.937645 0.347594i \(-0.886999\pi\)
0.997593 0.0693484i \(-0.0220920\pi\)
\(30\) 5331.10 + 18156.1i 0.197448 + 0.672447i
\(31\) 13883.0 + 8922.09i 0.466015 + 0.299489i 0.752496 0.658596i \(-0.228849\pi\)
−0.286482 + 0.958086i \(0.592486\pi\)
\(32\) 6942.74 15202.5i 0.211876 0.463943i
\(33\) −5923.83 + 20174.7i −0.164839 + 0.561391i
\(34\) 29679.8 25717.7i 0.755135 0.654328i
\(35\) −69422.9 80118.3i −1.61919 1.86865i
\(36\) 3917.03 + 1150.14i 0.0839556 + 0.0246516i
\(37\) 25882.9 + 11820.3i 0.510984 + 0.233358i 0.654184 0.756335i \(-0.273012\pi\)
−0.143200 + 0.989694i \(0.545739\pi\)
\(38\) 35323.5 54964.4i 0.643744 1.00168i
\(39\) −21042.6 + 6178.65i −0.354736 + 0.104160i
\(40\) −97083.4 13958.5i −1.51693 0.218101i
\(41\) −35813.4 78420.4i −0.519630 1.13783i −0.969580 0.244777i \(-0.921285\pi\)
0.449950 0.893054i \(-0.351442\pi\)
\(42\) 63603.2 9144.76i 0.858482 0.123431i
\(43\) 63252.2 + 98422.4i 0.795555 + 1.23791i 0.967517 + 0.252804i \(0.0813529\pi\)
−0.171962 + 0.985104i \(0.555011\pi\)
\(44\) −17125.8 14839.6i −0.201044 0.174206i
\(45\) 42935.1i 0.471167i
\(46\) 50091.5 + 66918.9i 0.514625 + 0.687504i
\(47\) 160134. 1.54238 0.771188 0.636607i \(-0.219663\pi\)
0.771188 + 0.636607i \(0.219663\pi\)
\(48\) 27956.0 32262.9i 0.252785 0.291729i
\(49\) −203874. + 131022.i −1.73290 + 1.11367i
\(50\) 15246.3 + 106040.i 0.121970 + 0.848321i
\(51\) −81055.3 + 37016.7i −0.611042 + 0.279053i
\(52\) 3363.67 23394.8i 0.0239223 0.166383i
\(53\) −41680.8 141952.i −0.279968 0.953483i −0.972657 0.232247i \(-0.925392\pi\)
0.692689 0.721236i \(-0.256426\pi\)
\(54\) 21893.1 + 14069.8i 0.139036 + 0.0893528i
\(55\) −99003.5 + 216787.i −0.595062 + 1.30301i
\(56\) −93835.5 + 319574.i −0.534322 + 1.81973i
\(57\) −112038. + 97081.4i −0.604979 + 0.524217i
\(58\) 46220.3 + 53341.1i 0.236891 + 0.273387i
\(59\) 67528.3 + 19828.1i 0.328798 + 0.0965439i 0.441966 0.897032i \(-0.354281\pi\)
−0.113167 + 0.993576i \(0.536100\pi\)
\(60\) 42090.5 + 19222.1i 0.194863 + 0.0889911i
\(61\) 96370.1 149955.i 0.424573 0.660649i −0.561401 0.827544i \(-0.689738\pi\)
0.985975 + 0.166895i \(0.0533740\pi\)
\(62\) −108785. + 31942.3i −0.456452 + 0.134026i
\(63\) −144315. 20749.3i −0.577151 0.0829818i
\(64\) 120507. + 263874.i 0.459698 + 1.00660i
\(65\) −246046. + 35376.1i −0.895934 + 0.128816i
\(66\) −78099.0 121524.i −0.271653 0.422700i
\(67\) 280785. + 243301.i 0.933575 + 0.808948i 0.981806 0.189889i \(-0.0608127\pi\)
−0.0482304 + 0.998836i \(0.515358\pi\)
\(68\) 96033.3i 0.305418i
\(69\) −66275.4 177708.i −0.201746 0.540955i
\(70\) 728324. 2.12339
\(71\) −13801.1 + 15927.4i −0.0385602 + 0.0445009i −0.774702 0.632326i \(-0.782100\pi\)
0.736142 + 0.676827i \(0.236646\pi\)
\(72\) −113479. + 72928.5i −0.304031 + 0.195389i
\(73\) −44324.4 308283.i −0.113940 0.792467i −0.964023 0.265819i \(-0.914358\pi\)
0.850083 0.526648i \(-0.176551\pi\)
\(74\) −177821. + 81208.2i −0.438822 + 0.200403i
\(75\) 34593.6 240604.i 0.0819997 0.570320i
\(76\) −45012.2 153297.i −0.102539 0.349216i
\(77\) 680828. + 437542.i 1.49130 + 0.958401i
\(78\) 62590.7 137055.i 0.131894 0.288808i
\(79\) 22873.3 77899.4i 0.0463925 0.157998i −0.933039 0.359775i \(-0.882853\pi\)
0.979432 + 0.201777i \(0.0646716\pi\)
\(80\) 365684. 316867.i 0.714226 0.618881i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) 568298. + 166867.i 1.03071 + 0.302642i
\(83\) 63234.7 + 28878.3i 0.110591 + 0.0505053i 0.469942 0.882697i \(-0.344275\pi\)
−0.359351 + 0.933202i \(0.617002\pi\)
\(84\) 84951.1 132187.i 0.143328 0.223023i
\(85\) −969081. + 284548.i −1.57799 + 0.463339i
\(86\) −795600. 114390.i −1.25083 0.179843i
\(87\) −66527.0 145674.i −0.101028 0.221220i
\(88\) 741143. 106560.i 1.08756 0.156368i
\(89\) −623925. 970846.i −0.885039 1.37715i −0.925814 0.377979i \(-0.876619\pi\)
0.0407756 0.999168i \(-0.487017\pi\)
\(90\) 222926. + 193167.i 0.305797 + 0.264975i
\(91\) 844115.i 1.12015i
\(92\) 203884. + 14588.7i 0.261831 + 0.0187349i
\(93\) 257253. 0.319825
\(94\) −720450. + 831444.i −0.867402 + 1.00104i
\(95\) −1.41357e6 + 908445.i −1.64872 + 1.05956i
\(96\) −37076.8 257875.i −0.0419072 0.291471i
\(97\) −916052. + 418347.i −1.00370 + 0.458375i −0.848323 0.529479i \(-0.822387\pi\)
−0.155379 + 0.987855i \(0.549660\pi\)
\(98\) 236950. 1.64802e6i 0.251755 1.75099i
\(99\) 92343.4 + 314493.i 0.0951701 + 0.324120i
\(100\) 220383. + 141632.i 0.220383 + 0.141632i
\(101\) −58815.8 + 128789.i −0.0570861 + 0.125001i −0.936025 0.351933i \(-0.885525\pi\)
0.878939 + 0.476934i \(0.158252\pi\)
\(102\) 172474. 587393.i 0.162526 0.553513i
\(103\) 1.24944e6 1.08264e6i 1.14341 0.990771i 0.143411 0.989663i \(-0.454193\pi\)
0.999999 0.00110765i \(-0.000352575\pi\)
\(104\) 511429. + 590220.i 0.454658 + 0.524703i
\(105\) −1.58562e6 465579.i −1.36972 0.402185i
\(106\) 924561. + 422233.i 0.776279 + 0.354515i
\(107\) 644428. 1.00275e6i 0.526045 0.818542i −0.471964 0.881618i \(-0.656455\pi\)
0.998009 + 0.0630758i \(0.0200910\pi\)
\(108\) 61060.5 17929.0i 0.0484718 0.0142326i
\(109\) 1.25852e6 + 180948.i 0.971810 + 0.139725i 0.609892 0.792485i \(-0.291213\pi\)
0.361918 + 0.932210i \(0.382122\pi\)
\(110\) −680177. 1.48938e6i −0.511027 1.11899i
\(111\) 439043. 63124.8i 0.321024 0.0461563i
\(112\) −888339. 1.38228e6i −0.632302 0.983882i
\(113\) 437575. + 379161.i 0.303261 + 0.262777i 0.793175 0.608993i \(-0.208426\pi\)
−0.489914 + 0.871771i \(0.662972\pi\)
\(114\) 1.01849e6i 0.687454i
\(115\) −456896. 2.10064e6i −0.300417 1.38121i
\(116\) 172593. 0.110573
\(117\) −223877. + 258367.i −0.139782 + 0.161317i
\(118\) −406763. + 261411.i −0.247569 + 0.159103i
\(119\) 488102. + 3.39482e6i 0.289647 + 2.01454i
\(120\) −1.39078e6 + 635146.i −0.804847 + 0.367561i
\(121\) 6806.54 47340.5i 0.00384211 0.0267225i
\(122\) 345018. + 1.17502e6i 0.190004 + 0.647093i
\(123\) −1.13056e6 726566.i −0.607544 0.390445i
\(124\) −115173. + 252193.i −0.0604066 + 0.132272i
\(125\) −1570.01 + 5346.96i −0.000803845 + 0.00273764i
\(126\) 757012. 655955.i 0.378435 0.327916i
\(127\) −1.63651e6 1.88863e6i −0.798928 0.922012i 0.199394 0.979919i \(-0.436103\pi\)
−0.998322 + 0.0579076i \(0.981557\pi\)
\(128\) −885952. 260139.i −0.422455 0.124044i
\(129\) 1.65896e6 + 757621.i 0.772799 + 0.352925i
\(130\) 923292. 1.43667e6i 0.420251 0.653924i
\(131\) −2.43483e6 + 714931.i −1.08307 + 0.318017i −0.774104 0.633058i \(-0.781799\pi\)
−0.308961 + 0.951075i \(0.599981\pi\)
\(132\) −349649. 50271.9i −0.152023 0.0218577i
\(133\) 2.37036e6 + 5.19036e6i 1.00753 + 2.20619i
\(134\) −2.52653e6 + 363260.i −1.05005 + 0.150974i
\(135\) −361846. 563044.i −0.147070 0.228845i
\(136\) 2.39813e6 + 2.07799e6i 0.953358 + 0.826089i
\(137\) 4.09927e6i 1.59421i −0.603841 0.797105i \(-0.706364\pi\)
0.603841 0.797105i \(-0.293636\pi\)
\(138\) 1.22087e6 + 455405.i 0.464549 + 0.173285i
\(139\) −2.09409e6 −0.779742 −0.389871 0.920869i \(-0.627480\pi\)
−0.389871 + 0.920869i \(0.627480\pi\)
\(140\) 1.16630e6 1.34599e6i 0.425038 0.490520i
\(141\) 2.09998e6 1.34957e6i 0.749129 0.481436i
\(142\) −20605.7 143316.i −0.00719651 0.0500528i
\(143\) 1.72616e6 788313.i 0.590302 0.269582i
\(144\) 94706.3 658697.i 0.0317169 0.220596i
\(145\) −511394. 1.74165e6i −0.167746 0.571290i
\(146\) 1.80008e6 + 1.15684e6i 0.578405 + 0.371719i
\(147\) −1.56935e6 + 3.43640e6i −0.494047 + 1.08181i
\(148\) −134677. + 458667.i −0.0415439 + 0.141486i
\(149\) 1.65545e6 1.43446e6i 0.500447 0.433640i −0.367702 0.929944i \(-0.619855\pi\)
0.868149 + 0.496304i \(0.165310\pi\)
\(150\) 1.09362e6 + 1.26210e6i 0.324035 + 0.373956i
\(151\) 3.43725e6 + 1.00927e6i 0.998343 + 0.293140i 0.739776 0.672853i \(-0.234931\pi\)
0.258567 + 0.965993i \(0.416750\pi\)
\(152\) 4.80211e6 + 2.19305e6i 1.36742 + 0.624479i
\(153\) −750979. + 1.16855e6i −0.209678 + 0.326266i
\(154\) −5.33486e6 + 1.56646e6i −1.46070 + 0.428900i
\(155\) 2.88616e6 + 414967.i 0.775042 + 0.111434i
\(156\) −153055. 335144.i −0.0403157 0.0882791i
\(157\) −1.61679e6 + 232460.i −0.417787 + 0.0600688i −0.348003 0.937493i \(-0.613140\pi\)
−0.0697842 + 0.997562i \(0.522231\pi\)
\(158\) 301559. + 469235.i 0.0764541 + 0.118965i
\(159\) −1.74293e6 1.51026e6i −0.433599 0.375716i
\(160\) 2.95294e6i 0.720933i
\(161\) −7.28156e6 + 520553.i −1.74480 + 0.124735i
\(162\) 405680. 0.0954198
\(163\) −2.05555e6 + 2.37223e6i −0.474640 + 0.547764i −0.941696 0.336464i \(-0.890769\pi\)
0.467057 + 0.884227i \(0.345314\pi\)
\(164\) 1.21843e6 783036.i 0.276228 0.177521i
\(165\) 528715. + 3.67729e6i 0.117698 + 0.818609i
\(166\) −434436. + 198400.i −0.0949734 + 0.0433729i
\(167\) −989799. + 6.88420e6i −0.212519 + 1.47810i 0.552186 + 0.833721i \(0.313794\pi\)
−0.764705 + 0.644381i \(0.777115\pi\)
\(168\) 1.46275e6 + 4.98167e6i 0.308491 + 1.05062i
\(169\) −2.39549e6 1.53949e6i −0.496289 0.318946i
\(170\) 2.88251e6 6.31183e6i 0.586712 1.28472i
\(171\) −651069. + 2.21734e6i −0.130208 + 0.443449i
\(172\) −1.48544e6 + 1.28714e6i −0.291923 + 0.252953i
\(173\) 205156. + 236762.i 0.0396228 + 0.0457271i 0.775215 0.631697i \(-0.217641\pi\)
−0.735592 + 0.677425i \(0.763096\pi\)
\(174\) 1.05567e6 + 309973.i 0.200392 + 0.0588405i
\(175\) −8.51052e6 3.88662e6i −1.58797 0.725201i
\(176\) −1.99707e6 + 3.10751e6i −0.366316 + 0.569999i
\(177\) 1.05266e6 309089.i 0.189832 0.0557397i
\(178\) 7.84786e6 + 1.12835e6i 1.39153 + 0.200071i
\(179\) 1.65734e6 + 3.62906e6i 0.288969 + 0.632754i 0.997324 0.0731019i \(-0.0232898\pi\)
−0.708355 + 0.705856i \(0.750563\pi\)
\(180\) 713967. 102653.i 0.122422 0.0176017i
\(181\) 4.95539e6 + 7.71073e6i 0.835684 + 1.30035i 0.951678 + 0.307099i \(0.0993583\pi\)
−0.115994 + 0.993250i \(0.537005\pi\)
\(182\) −4.38279e6 3.79771e6i −0.727003 0.629952i
\(183\) 2.77867e6i 0.453402i
\(184\) −4.77600e6 + 4.77570e6i −0.766675 + 0.766626i
\(185\) 5.02750e6 0.794030
\(186\) −1.15739e6 + 1.33570e6i −0.179863 + 0.207573i
\(187\) 6.48638e6 4.16854e6i 0.991921 0.637469i
\(188\) 382863. + 2.66287e6i 0.0576196 + 0.400753i
\(189\) −2.06739e6 + 944147.i −0.306223 + 0.139847i
\(190\) 1.64290e6 1.14266e7i 0.239525 1.66593i
\(191\) −1.78702e6 6.08603e6i −0.256466 0.873441i −0.982576 0.185863i \(-0.940492\pi\)
0.726110 0.687578i \(-0.241326\pi\)
\(192\) 3.80417e6 + 2.44479e6i 0.537473 + 0.345413i
\(193\) −3.71155e6 + 8.12716e6i −0.516278 + 1.13049i 0.454552 + 0.890720i \(0.349799\pi\)
−0.970830 + 0.239770i \(0.922928\pi\)
\(194\) 1.94923e6 6.63846e6i 0.266967 0.909205i
\(195\) −2.92847e6 + 2.53753e6i −0.394945 + 0.342222i
\(196\) −2.66620e6 3.07696e6i −0.354099 0.408652i
\(197\) −2.55998e6 751678.i −0.334840 0.0983180i 0.109990 0.993933i \(-0.464918\pi\)
−0.444831 + 0.895615i \(0.646736\pi\)
\(198\) −2.04836e6 935453.i −0.263882 0.120511i
\(199\) 6.03623e6 9.39256e6i 0.765961 1.19186i −0.210800 0.977529i \(-0.567607\pi\)
0.976761 0.214329i \(-0.0687566\pi\)
\(200\) −8.30552e6 + 2.43872e6i −1.03819 + 0.304840i
\(201\) 5.73266e6 + 824231.i 0.705940 + 0.101499i
\(202\) −404078. 884808.i −0.0490243 0.107348i
\(203\) −6.10123e6 + 877225.i −0.729339 + 0.104863i
\(204\) −809345. 1.25937e6i −0.0953330 0.148341i
\(205\) −1.15119e7 9.97512e6i −1.33624 1.15786i
\(206\) 1.13581e7i 1.29929i
\(207\) −2.36681e6 1.77189e6i −0.266841 0.199768i
\(208\) −3.85280e6 −0.428140
\(209\) 8.40031e6 9.69448e6i 0.920146 1.06190i
\(210\) 9.55113e6 6.13814e6i 1.03133 0.662794i
\(211\) −2.07702e6 1.44460e7i −0.221102 1.53780i −0.733881 0.679278i \(-0.762293\pi\)
0.512779 0.858520i \(-0.328616\pi\)
\(212\) 2.26086e6 1.03250e6i 0.237283 0.108363i
\(213\) −46754.0 + 325181.i −0.00483816 + 0.0336501i
\(214\) 2.30714e6 + 7.85739e6i 0.235414 + 0.801746i
\(215\) 1.73900e7 + 1.11759e7i 1.74978 + 1.12452i
\(216\) −873522. + 1.91275e6i −0.0866788 + 0.189800i
\(217\) 2.78960e6 9.50052e6i 0.273000 0.929754i
\(218\) −6.60165e6 + 5.72037e6i −0.637211 + 0.552147i
\(219\) −3.17940e6 3.66922e6i −0.302700 0.349335i
\(220\) −3.84167e6 1.12801e6i −0.360787 0.105937i
\(221\) 7.31530e6 + 3.34078e6i 0.677727 + 0.309508i
\(222\) −1.64752e6 + 2.56358e6i −0.150581 + 0.234309i
\(223\) −2.14533e6 + 629927.i −0.193455 + 0.0568035i −0.377025 0.926203i \(-0.623053\pi\)
0.183570 + 0.983007i \(0.441235\pi\)
\(224\) −9.92553e6 1.42708e6i −0.883099 0.126970i
\(225\) −1.57410e6 3.44679e6i −0.138192 0.302599i
\(226\) −3.93733e6 + 566103.i −0.341096 + 0.0490422i
\(227\) −2.76344e6 4.30000e6i −0.236250 0.367613i 0.702803 0.711385i \(-0.251932\pi\)
−0.939053 + 0.343772i \(0.888295\pi\)
\(228\) −1.88224e6 1.63097e6i −0.158807 0.137607i
\(229\) 1.26354e7i 1.05216i −0.850434 0.526082i \(-0.823660\pi\)
0.850434 0.526082i \(-0.176340\pi\)
\(230\) 1.29625e7 + 7.07859e6i 1.06538 + 0.581786i
\(231\) 1.26158e7 1.02348
\(232\) −3.73460e6 + 4.30996e6i −0.299075 + 0.345151i
\(233\) 1.44818e6 930689.i 0.114487 0.0735761i −0.482144 0.876092i \(-0.660142\pi\)
0.596631 + 0.802516i \(0.296506\pi\)
\(234\) −334257. 2.32481e6i −0.0260876 0.181443i
\(235\) 2.57369e7 1.17536e7i 1.98313 0.905667i
\(236\) −168269. + 1.17033e6i −0.0128017 + 0.0890378i
\(237\) −356560. 1.21433e6i −0.0267847 0.0912204i
\(238\) −1.98225e7 1.27391e7i −1.47037 0.944951i
\(239\) 8.75774e6 1.91768e7i 0.641503 1.40470i −0.257296 0.966333i \(-0.582831\pi\)
0.898798 0.438362i \(-0.144441\pi\)
\(240\) 2.12505e6 7.23724e6i 0.153721 0.523527i
\(241\) −1.90854e7 + 1.65376e7i −1.36349 + 1.18147i −0.399122 + 0.916898i \(0.630685\pi\)
−0.964366 + 0.264571i \(0.914770\pi\)
\(242\) 215177. + 248328.i 0.0151827 + 0.0175218i
\(243\) −883197. 259330.i −0.0615515 0.0180732i
\(244\) 2.72401e6 + 1.24401e6i 0.187516 + 0.0856358i
\(245\) −2.31499e7 + 3.60220e7i −1.57417 + 2.44945i
\(246\) 8.85889e6 2.60120e6i 0.595078 0.174731i
\(247\) 1.32432e7 + 1.90409e6i 0.878827 + 0.126356i
\(248\) −3.80559e6 8.33308e6i −0.249498 0.546324i
\(249\) 1.07263e6 154221.i 0.0694786 0.00998952i
\(250\) −20698.8 32208.0i −0.00132472 0.00206131i
\(251\) 1.55265e7 + 1.34538e7i 0.981867 + 0.850792i 0.988810 0.149184i \(-0.0476645\pi\)
−0.00694280 + 0.999976i \(0.502210\pi\)
\(252\) 2.44942e6i 0.153060i
\(253\) 7.86470e6 + 1.44042e7i 0.485647 + 0.889463i
\(254\) 1.71688e7 1.04771
\(255\) −1.03103e7 + 1.18987e7i −0.621799 + 0.717594i
\(256\) −1.02818e7 + 6.60771e6i −0.612843 + 0.393850i
\(257\) −3.07258e6 2.13702e7i −0.181010 1.25895i −0.854380 0.519649i \(-0.826063\pi\)
0.673370 0.739306i \(-0.264846\pi\)
\(258\) −1.13974e7 + 5.20503e6i −0.663663 + 0.303085i
\(259\) 2.42966e6 1.68986e7i 0.139844 0.972640i
\(260\) −1.17654e6 4.00692e6i −0.0669400 0.227977i
\(261\) −2.10013e6 1.34967e6i −0.118120 0.0759113i
\(262\) 7.24236e6 1.58586e7i 0.402695 0.881779i
\(263\) 2.69245e6 9.16964e6i 0.148006 0.504063i −0.851798 0.523871i \(-0.824487\pi\)
0.999804 + 0.0198080i \(0.00630550\pi\)
\(264\) 8.82117e6 7.64359e6i 0.479418 0.415418i
\(265\) −1.71180e7 1.97553e7i −0.919848 1.06156i
\(266\) −3.76136e7 1.10443e7i −1.99848 0.586806i
\(267\) −1.63641e7 7.47324e6i −0.859723 0.392622i
\(268\) −3.37454e6 + 5.25088e6i −0.175311 + 0.272789i
\(269\) −1.47168e7 + 4.32124e6i −0.756059 + 0.221999i −0.636974 0.770885i \(-0.719814\pi\)
−0.119085 + 0.992884i \(0.537996\pi\)
\(270\) 4.55138e6 + 654390.i 0.231234 + 0.0332464i
\(271\) 1.43291e7 + 3.13764e7i 0.719965 + 1.57650i 0.813954 + 0.580930i \(0.197311\pi\)
−0.0939891 + 0.995573i \(0.529962\pi\)
\(272\) −1.54950e7 + 2.22784e6i −0.769990 + 0.110708i
\(273\) 7.11399e6 + 1.10696e7i 0.349644 + 0.544056i
\(274\) 2.12841e7 + 1.84428e7i 1.03468 + 0.896551i
\(275\) 2.10332e7i 1.01136i
\(276\) 2.79666e6 1.52697e6i 0.133018 0.0726281i
\(277\) 5.30328e6 0.249520 0.124760 0.992187i \(-0.460184\pi\)
0.124760 + 0.992187i \(0.460184\pi\)
\(278\) 9.42140e6 1.08729e7i 0.438512 0.506069i
\(279\) 3.37358e6 2.16807e6i 0.155338 0.0998298i
\(280\) 8.37502e6 + 5.82496e7i 0.381515 + 2.65350i
\(281\) 2.50546e7 1.14421e7i 1.12919 0.515686i 0.238887 0.971047i \(-0.423217\pi\)
0.890307 + 0.455362i \(0.150490\pi\)
\(282\) −2.44067e6 + 1.69752e7i −0.108833 + 0.756951i
\(283\) 8.89199e6 + 3.02833e7i 0.392319 + 1.33612i 0.884872 + 0.465834i \(0.154246\pi\)
−0.492553 + 0.870282i \(0.663936\pi\)
\(284\) −297853. 191418.i −0.0130031 0.00835658i
\(285\) −1.08812e7 + 2.38264e7i −0.470046 + 1.02926i
\(286\) −3.67303e6 + 1.25092e7i −0.157010 + 0.534726i
\(287\) −3.90921e7 + 3.38735e7i −1.65365 + 1.43290i
\(288\) −2.65952e6 3.06926e6i −0.111334 0.128486i
\(289\) 8.19228e6 + 2.40547e6i 0.339400 + 0.0996567i
\(290\) 1.13437e7 + 5.18050e6i 0.465116 + 0.212411i
\(291\) −8.48724e6 + 1.32064e7i −0.344419 + 0.535927i
\(292\) 5.02047e6 1.47414e6i 0.201649 0.0592094i
\(293\) 1.73704e7 + 2.49749e6i 0.690570 + 0.0992890i 0.478660 0.878000i \(-0.341123\pi\)
0.211910 + 0.977289i \(0.432032\pi\)
\(294\) −1.07818e7 2.36088e7i −0.424277 0.929036i
\(295\) 1.23085e7 1.76970e6i 0.479447 0.0689341i
\(296\) −8.53961e6 1.32879e7i −0.329278 0.512367i
\(297\) 3.86145e6 + 3.34596e6i 0.147394 + 0.127718i
\(298\) 1.50491e7i 0.568672i
\(299\) −8.20397e6 + 1.50233e7i −0.306909 + 0.562020i
\(300\) 4.08371e6 0.151249
\(301\) 4.59688e7 5.30509e7i 1.68564 1.94533i
\(302\) −2.07046e7 + 1.33060e7i −0.751703 + 0.483090i
\(303\) 314098. + 2.18460e6i 0.0112911 + 0.0785316i
\(304\) −2.36904e7 + 1.08190e7i −0.843240 + 0.385095i
\(305\) 4.48218e6 3.11742e7i 0.157976 1.09874i
\(306\) −2.68860e6 9.15654e6i −0.0938345 0.319571i
\(307\) −2.11102e7 1.35667e7i −0.729586 0.468876i 0.122374 0.992484i \(-0.460949\pi\)
−0.851959 + 0.523608i \(0.824586\pi\)
\(308\) −5.64810e6 + 1.23676e7i −0.193308 + 0.423285i
\(309\) 7.26066e6 2.47275e7i 0.246094 0.838119i
\(310\) −1.51395e7 + 1.31185e7i −0.508191 + 0.440350i
\(311\) −6.55407e6 7.56380e6i −0.217886 0.251454i 0.636275 0.771462i \(-0.280474\pi\)
−0.854161 + 0.520008i \(0.825929\pi\)
\(312\) 1.16810e7 + 3.42986e6i 0.384607 + 0.112931i
\(313\) −1.49996e7 6.85007e6i −0.489154 0.223389i 0.155541 0.987830i \(-0.450288\pi\)
−0.644694 + 0.764440i \(0.723015\pi\)
\(314\) 6.06705e6 9.44051e6i 0.195969 0.304934i
\(315\) −2.47173e7 + 7.25766e6i −0.790806 + 0.232202i
\(316\) 1.35008e6 + 194112.i 0.0427856 + 0.00615163i
\(317\) −7.35828e6 1.61124e7i −0.230993 0.505804i 0.758272 0.651938i \(-0.226044\pi\)
−0.989265 + 0.146135i \(0.953317\pi\)
\(318\) 1.56830e7 2.25488e6i 0.487695 0.0701200i
\(319\) 7.49177e6 + 1.16574e7i 0.230787 + 0.359112i
\(320\) 3.87359e7 + 3.35649e7i 1.18213 + 1.02432i
\(321\) 1.85810e7i 0.561764i
\(322\) 3.00572e7 4.01491e7i 0.900288 1.20256i
\(323\) 5.43621e7 1.61320
\(324\) 649637. 749721.i 0.0191001 0.0220427i
\(325\) −1.84554e7 + 1.18606e7i −0.537617 + 0.345505i
\(326\) −3.06902e6 2.13455e7i −0.0885822 0.616103i
\(327\) 1.80290e7 8.23359e6i 0.515620 0.235476i
\(328\) −6.81077e6 + 4.73699e7i −0.193008 + 1.34240i
\(329\) −2.70688e7 9.21879e7i −0.760118 2.58873i
\(330\) −2.14719e7 1.37991e7i −0.597486 0.383981i
\(331\) −2.51426e7 + 5.50546e7i −0.693308 + 1.51813i 0.154593 + 0.987978i \(0.450593\pi\)
−0.847901 + 0.530154i \(0.822134\pi\)
\(332\) −329030. + 1.12057e6i −0.00899128 + 0.0306215i
\(333\) 5.22554e6 4.52795e6i 0.141514 0.122622i
\(334\) −3.12908e7 3.61115e7i −0.839803 0.969184i
\(335\) 6.29859e7 + 1.84943e7i 1.67536 + 0.491931i
\(336\) −2.32991e7 1.06403e7i −0.614216 0.280503i
\(337\) 2.99850e7 4.66576e7i 0.783455 1.21908i −0.188073 0.982155i \(-0.560224\pi\)
0.971528 0.236925i \(-0.0761396\pi\)
\(338\) 1.87707e7 5.51158e6i 0.486106 0.142734i
\(339\) 8.93376e6 + 1.28448e6i 0.229316 + 0.0329707i
\(340\) −7.04871e6 1.54345e7i −0.179338 0.392696i
\(341\) −2.20332e7 + 3.16789e6i −0.555666 + 0.0798928i
\(342\) −8.58361e6 1.33564e7i −0.214581 0.333895i
\(343\) 5.65431e7 + 4.89949e7i 1.40119 + 1.21414i
\(344\) 6.49455e7i 1.59542i
\(345\) −2.36954e7 2.36969e7i −0.577040 0.577077i
\(346\) −2.15231e6 −0.0519610
\(347\) −3.96683e7 + 4.57797e7i −0.949413 + 1.09568i 0.0458973 + 0.998946i \(0.485385\pi\)
−0.995310 + 0.0967347i \(0.969160\pi\)
\(348\) 2.26335e6 1.45457e6i 0.0537050 0.0345141i
\(349\) 7.31282e6 + 5.08618e7i 0.172032 + 1.19651i 0.874584 + 0.484874i \(0.161135\pi\)
−0.702552 + 0.711632i \(0.747956\pi\)
\(350\) 5.84692e7 2.67020e7i 1.36371 0.622787i
\(351\) −758426. + 5.27497e6i −0.0175385 + 0.121983i
\(352\) 6.35109e6 + 2.16298e7i 0.145620 + 0.495936i
\(353\) 1.57288e7 + 1.01083e7i 0.357578 + 0.229801i 0.707079 0.707135i \(-0.250013\pi\)
−0.349501 + 0.936936i \(0.613649\pi\)
\(354\) −3.13112e6 + 6.85621e6i −0.0705815 + 0.154552i
\(355\) −1.04908e6 + 3.57284e6i −0.0234490 + 0.0798598i
\(356\) 1.46525e7 1.26964e7i 0.324759 0.281405i
\(357\) 3.50116e7 + 4.04056e7i 0.769498 + 0.888049i
\(358\) −2.62991e7 7.72212e6i −0.573181 0.168301i
\(359\) −4.47071e7 2.04171e7i −0.966258 0.441275i −0.131151 0.991362i \(-0.541867\pi\)
−0.835107 + 0.550087i \(0.814595\pi\)
\(360\) −1.28856e7 + 2.00503e7i −0.276182 + 0.429748i
\(361\) 4.16378e7 1.22260e7i 0.885046 0.259873i
\(362\) −6.23299e7 8.96169e6i −1.31393 0.188914i
\(363\) −309715. 678180.i −0.00647503 0.0141783i
\(364\) −1.40368e7 + 2.01818e6i −0.291047 + 0.0418463i
\(365\) −2.97514e7 4.62941e7i −0.611827 0.952022i
\(366\) 1.44273e7 + 1.25013e7i 0.294267 + 0.254984i
\(367\) 8.94930e7i 1.81047i −0.424914 0.905234i \(-0.639696\pi\)
0.424914 0.905234i \(-0.360304\pi\)
\(368\) −2.37596e6 3.32352e7i −0.0476756 0.666892i
\(369\) −2.09493e7 −0.416956
\(370\) −2.26189e7 + 2.61037e7i −0.446547 + 0.515343i
\(371\) −7.46747e7 + 4.79905e7i −1.46235 + 0.939797i
\(372\) 615064. + 4.27786e6i 0.0119479 + 0.0830994i
\(373\) 2.95884e7 1.35126e7i 0.570158 0.260382i −0.109408 0.993997i \(-0.534895\pi\)
0.679566 + 0.733615i \(0.262168\pi\)
\(374\) −7.53870e6 + 5.24328e7i −0.144106 + 1.00228i
\(375\) 24474.0 + 83350.9i 0.000464100 + 0.00158058i
\(376\) −7.47814e7 4.80591e7i −1.40679 0.904090i
\(377\) −6.00411e6 + 1.31472e7i −0.112053 + 0.245362i
\(378\) 4.39911e6 1.49820e7i 0.0814498 0.277392i
\(379\) −2.74600e7 + 2.37942e7i −0.504410 + 0.437073i −0.869525 0.493889i \(-0.835575\pi\)
0.365115 + 0.930962i \(0.381030\pi\)
\(380\) −1.84862e7 2.13342e7i −0.336897 0.388800i
\(381\) −3.73779e7 1.09751e7i −0.675834 0.198443i
\(382\) 3.96396e7 + 1.81028e7i 0.711113 + 0.324754i
\(383\) −2.21015e7 + 3.43907e7i −0.393393 + 0.612131i −0.980298 0.197525i \(-0.936710\pi\)
0.586905 + 0.809656i \(0.300346\pi\)
\(384\) −1.38106e7 + 4.05517e6i −0.243905 + 0.0716168i
\(385\) 1.41538e8 + 2.03501e7i 2.48022 + 0.356602i
\(386\) −2.54992e7 5.58354e7i −0.443368 0.970841i
\(387\) 2.81404e7 4.04598e6i 0.485509 0.0698056i
\(388\) −9.14687e6 1.42328e7i −0.156595 0.243666i
\(389\) −7.29990e7 6.32540e7i −1.24013 1.07458i −0.994448 0.105231i \(-0.966442\pi\)
−0.245684 0.969350i \(-0.579013\pi\)
\(390\) 2.66216e7i 0.448786i
\(391\) −2.43073e7 + 6.51639e7i −0.406636 + 1.09013i
\(392\) 1.34529e8 2.23336
\(393\) −2.59047e7 + 2.98956e7i −0.426777 + 0.492527i
\(394\) 1.54203e7 9.91002e6i 0.252118 0.162026i
\(395\) −2.04149e6 1.41989e7i −0.0331251 0.230390i
\(396\) −5.00892e6 + 2.28750e6i −0.0806600 + 0.0368362i
\(397\) 3.93844e6 2.73924e7i 0.0629437 0.437783i −0.933843 0.357683i \(-0.883567\pi\)
0.996787 0.0801003i \(-0.0255241\pi\)
\(398\) 2.16105e7 + 7.35987e7i 0.342780 + 1.16740i
\(399\) 7.48276e7 + 4.80888e7i 1.17799 + 0.757051i
\(400\) 1.77397e7 3.88446e7i 0.277183 0.606947i
\(401\) −1.31260e7 + 4.47032e7i −0.203564 + 0.693275i 0.792908 + 0.609342i \(0.208566\pi\)
−0.996471 + 0.0839329i \(0.973252\pi\)
\(402\) −3.00710e7 + 2.60567e7i −0.462881 + 0.401089i
\(403\) −1.52041e7 1.75464e7i −0.232298 0.268086i
\(404\) −2.28225e6 670129.i −0.0346114 0.0101628i
\(405\) −9.49039e6 4.33412e6i −0.142863 0.0652432i
\(406\) 2.28950e7 3.56253e7i 0.342107 0.532329i
\(407\) −3.68257e7 + 1.08130e7i −0.546220 + 0.160385i
\(408\) 4.89615e7 + 7.03960e6i 0.720899 + 0.103650i
\(409\) −1.73088e7 3.79011e7i −0.252987 0.553964i 0.739943 0.672670i \(-0.234853\pi\)
−0.992929 + 0.118706i \(0.962125\pi\)
\(410\) 1.03585e8 1.48933e7i 1.50295 0.216092i
\(411\) −3.45477e7 5.37572e7i −0.497615 0.774304i
\(412\) 2.09905e7 + 1.81884e7i 0.300145 + 0.260077i
\(413\) 4.22272e7i 0.599435i
\(414\) 1.98483e7 4.31707e6i 0.279719 0.0608399i
\(415\) 1.22827e7 0.171851
\(416\) −1.53975e7 + 1.77697e7i −0.213881 + 0.246831i
\(417\) −2.74616e7 + 1.76485e7i −0.378719 + 0.243388i
\(418\) 1.25420e7 + 8.72317e7i 0.171727 + 1.19439i
\(419\) −8.06246e7 + 3.68200e7i −1.09604 + 0.500544i −0.879581 0.475749i \(-0.842177\pi\)
−0.216456 + 0.976292i \(0.569450\pi\)
\(420\) 3.95108e6 2.74804e7i 0.0533296 0.370915i
\(421\) −3.48852e7 1.18808e8i −0.467515 1.59221i −0.769336 0.638845i \(-0.779413\pi\)
0.301821 0.953365i \(-0.402406\pi\)
\(422\) 8.43505e7 + 5.42088e7i 1.12241 + 0.721327i
\(423\) 1.61649e7 3.53962e7i 0.213576 0.467665i
\(424\) −2.31376e7 + 7.87994e7i −0.303543 + 1.03377i
\(425\) −6.73648e7 + 5.83719e7i −0.877538 + 0.760391i
\(426\) −1.47805e6 1.70576e6i −0.0191188 0.0220642i
\(427\) −1.02618e8 3.01313e7i −1.31807 0.387021i
\(428\) 1.82155e7 + 8.31873e6i 0.232332 + 0.106103i
\(429\) 1.59929e7 2.48855e7i 0.202561 0.315192i
\(430\) −1.36265e8 + 4.00111e7i −1.71388 + 0.503240i
\(431\) 1.31746e8 + 1.89422e7i 1.64553 + 0.236591i 0.901882 0.431983i \(-0.142186\pi\)
0.743645 + 0.668574i \(0.233095\pi\)
\(432\) −4.30937e6 9.43621e6i −0.0534518 0.117043i
\(433\) −4.31745e7 + 6.20755e6i −0.531818 + 0.0764639i −0.402992 0.915203i \(-0.632030\pi\)
−0.128826 + 0.991667i \(0.541121\pi\)
\(434\) 3.67778e7 + 5.72273e7i 0.449900 + 0.700058i
\(435\) −2.13845e7 1.85298e7i −0.259796 0.225114i
\(436\) 2.13606e7i 0.257723i
\(437\) −8.25828e6 + 1.15414e8i −0.0989567 + 1.38297i
\(438\) 3.33555e7 0.396958
\(439\) −3.43768e6 + 3.96730e6i −0.0406324 + 0.0468923i −0.775702 0.631099i \(-0.782604\pi\)
0.735070 + 0.677992i \(0.237149\pi\)
\(440\) 1.11296e8 7.15253e7i 1.30653 0.839656i
\(441\) 8.38091e6 + 5.82905e7i 0.0977182 + 0.679645i
\(442\) −5.02577e7 + 2.29519e7i −0.582018 + 0.265799i
\(443\) 6.11967e6 4.25633e7i 0.0703910 0.489580i −0.923879 0.382684i \(-0.875000\pi\)
0.994270 0.106896i \(-0.0340912\pi\)
\(444\) 2.09940e6 + 7.14991e6i 0.0239854 + 0.0816868i
\(445\) −1.71536e8 1.10240e8i −1.94660 1.25100i
\(446\) 6.38125e6 1.39730e7i 0.0719286 0.157502i
\(447\) 9.62010e6 3.27630e7i 0.107710 0.366827i
\(448\) 1.31539e8 1.13980e8i 1.46293 1.26763i
\(449\) −1.38479e7 1.59814e7i −0.152984 0.176553i 0.674084 0.738654i \(-0.264538\pi\)
−0.827068 + 0.562102i \(0.809993\pi\)
\(450\) 2.49782e7 + 7.33427e6i 0.274109 + 0.0804858i
\(451\) 1.05777e8 + 4.83068e7i 1.15309 + 0.526597i
\(452\) −5.25887e6 + 8.18296e6i −0.0569478 + 0.0886126i
\(453\) 5.35814e7 1.57329e7i 0.576394 0.169245i
\(454\) 3.47591e7 + 4.99761e6i 0.371451 + 0.0534066i
\(455\) 6.19569e7 + 1.35667e8i 0.657741 + 1.44025i
\(456\) 8.14566e7 1.17117e7i 0.859076 0.123517i
\(457\) 3.38225e7 + 5.26288e7i 0.354370 + 0.551411i 0.971977 0.235076i \(-0.0755340\pi\)
−0.617607 + 0.786487i \(0.711898\pi\)
\(458\) 6.56053e7 + 5.68473e7i 0.682877 + 0.591717i
\(459\) 2.16532e7i 0.223915i
\(460\) 3.38392e7 1.26201e7i 0.347653 0.129655i
\(461\) −3.14588e7 −0.321100 −0.160550 0.987028i \(-0.551327\pi\)
−0.160550 + 0.987028i \(0.551327\pi\)
\(462\) −5.67589e7 + 6.55032e7i −0.575583 + 0.664258i
\(463\) 2.83600e7 1.82259e7i 0.285735 0.183631i −0.389920 0.920849i \(-0.627497\pi\)
0.675655 + 0.737218i \(0.263861\pi\)
\(464\) −4.00392e6 2.78479e7i −0.0400803 0.278765i
\(465\) 4.13459e7 1.88820e7i 0.411219 0.187798i
\(466\) −1.68313e6 + 1.17064e7i −0.0166326 + 0.115682i
\(467\) 2.12537e7 + 7.23835e7i 0.208682 + 0.710705i 0.995605 + 0.0936536i \(0.0298546\pi\)
−0.786923 + 0.617051i \(0.788327\pi\)
\(468\) −4.83166e6 3.10512e6i −0.0471366 0.0302929i
\(469\) 9.26032e7 2.02773e8i 0.897651 1.96558i
\(470\) −5.47643e7 + 1.86510e8i −0.527478 + 1.79642i
\(471\) −1.92433e7 + 1.66744e7i −0.184169 + 0.159583i
\(472\) −2.55844e7 2.95260e7i −0.243304 0.280788i
\(473\) −1.51416e8 4.44597e7i −1.43083 0.420129i
\(474\) 7.90919e6 + 3.61201e6i 0.0742672 + 0.0339167i
\(475\) −8.01743e7 + 1.24754e8i −0.748091 + 1.16405i
\(476\) −5.52855e7 + 1.62333e7i −0.512614 + 0.150517i
\(477\) −3.55846e7 5.11629e6i −0.327874 0.0471412i
\(478\) 6.01677e7 + 1.31749e8i 0.550909 + 1.20632i
\(479\) 9.15557e7 1.31637e7i 0.833065 0.119777i 0.287432 0.957801i \(-0.407198\pi\)
0.545633 + 0.838024i \(0.316289\pi\)
\(480\) −2.48867e7 3.87244e7i −0.225031 0.350155i
\(481\) −3.02537e7 2.62150e7i −0.271859 0.235567i
\(482\) 1.73498e8i 1.54937i
\(483\) −9.11021e7 + 6.81937e7i −0.808513 + 0.605205i
\(484\) 803499. 0.00708679
\(485\) −1.16522e8 + 1.34474e8i −1.02137 + 1.17873i
\(486\) 5.32002e6 3.41897e6i 0.0463452 0.0297843i
\(487\) −1.84137e7 1.28070e8i −0.159425 1.10882i −0.899697 0.436515i \(-0.856213\pi\)
0.740272 0.672307i \(-0.234696\pi\)
\(488\) −9.00081e7 + 4.11053e7i −0.774501 + 0.353703i
\(489\) −6.96356e6 + 4.84326e7i −0.0595532 + 0.414201i
\(490\) −8.28797e7 2.82263e8i −0.704466 2.39919i
\(491\) −5.86928e6 3.77196e6i −0.0495839 0.0318656i 0.515614 0.856821i \(-0.327564\pi\)
−0.565198 + 0.824955i \(0.691200\pi\)
\(492\) 9.37903e6 2.05372e7i 0.0787522 0.172443i
\(493\) −1.65448e7 + 5.63465e7i −0.138077 + 0.470247i
\(494\) −6.94683e7 + 6.01946e7i −0.576243 + 0.499317i
\(495\) 3.79248e7 + 4.37676e7i 0.312686 + 0.360859i
\(496\) 4.33632e7 + 1.27326e7i 0.355367 + 0.104345i
\(497\) 1.15022e7 + 5.25286e6i 0.0936936 + 0.0427885i
\(498\) −4.02506e6 + 6.26312e6i −0.0325900 + 0.0507110i
\(499\) −1.92018e7 + 5.63816e6i −0.154540 + 0.0453770i −0.358087 0.933688i \(-0.616571\pi\)
0.203548 + 0.979065i \(0.434753\pi\)
\(500\) −92668.3 13323.7i −0.000741347 0.000106590i
\(501\) 4.50383e7 + 9.86201e7i 0.358153 + 0.784246i
\(502\) −1.39709e8 + 2.00871e7i −1.10436 + 0.158784i
\(503\) 7.53645e7 + 1.17270e8i 0.592193 + 0.921470i 0.999965 + 0.00838619i \(0.00266944\pi\)
−0.407772 + 0.913084i \(0.633694\pi\)
\(504\) 6.11666e7 + 5.30012e7i 0.477774 + 0.413994i
\(505\) 2.50160e7i 0.194242i
\(506\) −1.10173e8 2.39703e7i −0.850398 0.185021i
\(507\) −4.43886e7 −0.340602
\(508\) 2.74934e7 3.17290e7i 0.209719 0.242028i
\(509\) 1.55596e7 9.99952e6i 0.117990 0.0758274i −0.480315 0.877096i \(-0.659478\pi\)
0.598305 + 0.801269i \(0.295841\pi\)
\(510\) −1.53937e7 1.07065e8i −0.116046 0.807121i
\(511\) −1.69983e8 + 7.76288e7i −1.27392 + 0.581782i
\(512\) 2.03599e7 1.41606e8i 0.151693 1.05505i
\(513\) 1.01492e7 + 3.45649e7i 0.0751758 + 0.256025i
\(514\) 1.24782e8 + 8.01923e7i 0.918885 + 0.590532i
\(515\) 1.21346e8 2.65710e8i 0.888387 1.94530i
\(516\) −8.63210e6 + 2.93982e7i −0.0628300 + 0.213979i
\(517\) −1.63239e8 + 1.41448e8i −1.18128 + 1.02359i
\(518\) 7.68094e7 + 8.86428e7i 0.552618 + 0.637755i
\(519\) 4.68575e6 + 1.37586e6i 0.0335179 + 0.00984175i
\(520\) 1.25518e8 + 5.73223e7i 0.892683 + 0.407675i
\(521\) 9.56498e7 1.48834e8i 0.676349 1.05242i −0.318187 0.948028i \(-0.603074\pi\)
0.994536 0.104392i \(-0.0332897\pi\)
\(522\) 1.64563e7 4.83200e6i 0.115697 0.0339716i
\(523\) 1.69797e8 + 2.44131e7i 1.18693 + 0.170654i 0.707362 0.706851i \(-0.249885\pi\)
0.479566 + 0.877506i \(0.340794\pi\)
\(524\) −1.77100e7 3.87795e7i −0.123090 0.269531i
\(525\) −1.44361e8 + 2.07560e7i −0.997637 + 0.143438i
\(526\) 3.54969e7 + 5.52342e7i 0.243912 + 0.379534i
\(527\) −7.12932e7 6.17759e7i −0.487098 0.422073i
\(528\) 5.75822e7i 0.391189i
\(529\) −1.34654e8 6.15049e7i −0.909605 0.415473i
\(530\) 1.79587e8 1.20628
\(531\) 1.11995e7 1.29249e7i 0.0748024 0.0863266i
\(532\) −8.06432e7 + 5.18262e7i −0.535591 + 0.344203i
\(533\) 1.72611e7 + 1.20053e8i 0.113995 + 0.792852i
\(534\) 1.12425e8 5.13428e7i 0.738311 0.337175i
\(535\) 2.99724e7 2.08463e8i 0.195731 1.36134i
\(536\) −5.81052e7 1.97888e8i −0.377330 1.28507i
\(537\) 5.23189e7 + 3.36233e7i 0.337859 + 0.217129i
\(538\) 4.37748e7 9.58534e7i 0.281111 0.615546i
\(539\) 9.20946e7 3.13646e8i 0.588123 2.00296i
\(540\) 8.49772e6 7.36331e6i 0.0539661 0.0467619i
\(541\) −8.30257e7 9.58168e7i −0.524349 0.605131i 0.430365 0.902655i \(-0.358385\pi\)
−0.954715 + 0.297523i \(0.903839\pi\)
\(542\) −2.27379e8 6.67644e7i −1.42808 0.419321i
\(543\) 1.29968e8 + 5.93546e7i 0.811780 + 0.370727i
\(544\) −5.16500e7 + 8.03689e7i −0.320829 + 0.499219i
\(545\) 2.15552e8 6.32917e7i 1.33156 0.390982i
\(546\) −8.94813e7 1.28655e7i −0.549736 0.0790402i
\(547\) 3.49994e7 + 7.66380e7i 0.213845 + 0.468255i 0.985907 0.167292i \(-0.0535022\pi\)
−0.772063 + 0.635546i \(0.780775\pi\)
\(548\) 6.81668e7 9.80091e6i 0.414220 0.0595559i
\(549\) −2.34179e7 3.64390e7i −0.141524 0.220216i
\(550\) −1.09208e8 9.46292e7i −0.656396 0.568771i
\(551\) 9.77005e7i 0.584039i
\(552\) −2.23834e7 + 1.02879e8i −0.133079 + 0.611658i
\(553\) −4.87125e7 −0.288048
\(554\) −2.38597e7 + 2.75355e7i −0.140325 + 0.161944i
\(555\) 6.59299e7 4.23706e7i 0.385659 0.247848i
\(556\) −5.00674e6 3.48226e7i −0.0291293 0.202599i
\(557\) 1.47009e8 6.71369e7i 0.850706 0.388504i 0.0581529 0.998308i \(-0.481479\pi\)
0.792553 + 0.609803i \(0.208752\pi\)
\(558\) −3.92089e6 + 2.72704e7i −0.0225675 + 0.156960i
\(559\) −4.63722e7 1.57929e8i −0.265474 0.904122i
\(560\) −2.44232e8 1.56958e8i −1.39072 0.893759i
\(561\) 4.99299e7 1.09331e8i 0.282795 0.619235i
\(562\) −5.33126e7 + 1.81566e8i −0.300345 + 1.02288i
\(563\) 1.26868e8 1.09932e8i 0.710931 0.616025i −0.222437 0.974947i \(-0.571401\pi\)
0.933368 + 0.358922i \(0.116856\pi\)
\(564\) 2.74628e7 + 3.16938e7i 0.153076 + 0.176660i
\(565\) 9.81571e7 + 2.88215e7i 0.544223 + 0.159798i
\(566\) −1.97242e8 9.00772e7i −1.08780 0.496782i
\(567\) −1.91544e7 + 2.98049e7i −0.105080 + 0.163508i
\(568\) 1.12251e7 3.29598e6i 0.0612555 0.0179862i
\(569\) 1.36637e8 + 1.96455e7i 0.741706 + 0.106641i 0.502802 0.864402i \(-0.332303\pi\)
0.238905 + 0.971043i \(0.423212\pi\)
\(570\) −7.47560e7 1.63693e8i −0.403665 0.883904i
\(571\) 1.01452e8 1.45866e7i 0.544943 0.0783510i 0.135655 0.990756i \(-0.456686\pi\)
0.409288 + 0.912405i \(0.365777\pi\)
\(572\) 1.72359e7 + 2.68196e7i 0.0920972 + 0.143306i
\(573\) −7.47262e7 6.47506e7i −0.397200 0.344176i
\(574\) 3.55371e8i 1.87909i
\(575\) −1.13693e8 1.51887e8i −0.598042 0.798944i
\(576\) 7.04915e7 0.368867
\(577\) 5.43413e7 6.27133e7i 0.282880 0.326461i −0.596471 0.802635i \(-0.703431\pi\)
0.879352 + 0.476173i \(0.157976\pi\)
\(578\) −4.93470e7 + 3.17134e7i −0.255551 + 0.164233i
\(579\) 1.98210e7 + 1.37858e8i 0.102115 + 0.710228i
\(580\) 2.77392e7 1.26681e7i 0.142171 0.0649271i
\(581\) 5.93591e6 4.12852e7i 0.0302663 0.210507i
\(582\) −3.03854e7 1.03483e8i −0.154133 0.524930i
\(583\) 1.67876e8 + 1.07887e8i 0.847194 + 0.544459i
\(584\) −7.18220e7 + 1.57268e8i −0.360594 + 0.789592i
\(585\) −1.70178e7 + 5.79572e7i −0.0850032 + 0.289494i
\(586\) −9.11177e7 + 7.89539e7i −0.452804 + 0.392356i
\(587\) 8.50164e7 + 9.81141e7i 0.420328 + 0.485084i 0.925937 0.377679i \(-0.123278\pi\)
−0.505609 + 0.862763i \(0.668732\pi\)
\(588\) −6.08960e7 1.78807e7i −0.299541 0.0879533i
\(589\) −1.42760e8 6.51964e7i −0.698653 0.319064i
\(590\) −4.61881e7 + 7.18700e7i −0.224892 + 0.349938i
\(591\) −3.99061e7 + 1.17175e7i −0.193320 + 0.0567639i
\(592\) 7.71304e7 + 1.10897e7i 0.371758 + 0.0534508i
\(593\) 9.42320e7 + 2.06339e8i 0.451892 + 0.989504i 0.989261 + 0.146158i \(0.0466907\pi\)
−0.537370 + 0.843347i \(0.680582\pi\)
\(594\) −3.47456e7 + 4.99566e6i −0.165783 + 0.0238360i
\(595\) 3.27623e8 + 5.09792e8i 1.55534 + 2.42015i
\(596\) 2.78116e7 + 2.40989e7i 0.131367 + 0.113831i
\(597\) 1.74044e8i 0.817970i
\(598\) −4.10935e7 1.10187e8i −0.192163 0.515260i
\(599\) −5.31590e7 −0.247341 −0.123671 0.992323i \(-0.539467\pi\)
−0.123671 + 0.992323i \(0.539467\pi\)
\(600\) −8.83643e7 + 1.01978e8i −0.409094 + 0.472120i
\(601\) 3.58807e7 2.30591e7i 0.165286 0.106223i −0.455383 0.890296i \(-0.650497\pi\)
0.620669 + 0.784073i \(0.286861\pi\)
\(602\) 6.86335e7 + 4.77356e8i 0.314591 + 2.18803i
\(603\) 8.21236e7 3.75046e7i 0.374555 0.171054i
\(604\) −8.56502e6 + 5.95710e7i −0.0388703 + 0.270349i
\(605\) −2.38078e6 8.10819e6i −0.0107511 0.0366149i
\(606\) −1.27560e7 8.19776e6i −0.0573186 0.0368364i
\(607\) 1.37324e6 3.00698e6i 0.00614017 0.0134451i −0.906537 0.422126i \(-0.861284\pi\)
0.912677 + 0.408681i \(0.134011\pi\)
\(608\) −4.47785e7 + 1.52502e8i −0.199232 + 0.678522i
\(609\) −7.26176e7 + 6.29235e7i −0.321506 + 0.278587i
\(610\) 1.41696e8 + 1.63526e8i 0.624266 + 0.720441i
\(611\) −2.16162e8 6.34709e7i −0.947667 0.278260i
\(612\) −2.12273e7 9.69416e6i −0.0926061 0.0422918i
\(613\) −1.17338e7 + 1.82582e7i −0.0509399 + 0.0792640i −0.865789 0.500409i \(-0.833183\pi\)
0.814850 + 0.579673i \(0.196820\pi\)
\(614\) 1.65416e8 4.85705e7i 0.714615 0.209830i
\(615\) −2.35033e8 3.37927e7i −1.01042 0.145277i
\(616\) −1.86627e8 4.08657e8i −0.798423 1.74830i
\(617\) 1.67888e8 2.41386e7i 0.714765 0.102768i 0.224668 0.974435i \(-0.427870\pi\)
0.490097 + 0.871668i \(0.336961\pi\)
\(618\) 9.57236e7 + 1.48949e8i 0.405558 + 0.631061i
\(619\) 3.40388e8 + 2.94948e8i 1.43517 + 1.24358i 0.923058 + 0.384661i \(0.125682\pi\)
0.512111 + 0.858919i \(0.328864\pi\)
\(620\) 4.89861e7i 0.205541i
\(621\) −4.59710e7 3.28939e6i −0.191959 0.0137354i
\(622\) 6.87596e7 0.285734
\(623\) −4.53440e8 + 5.23298e8i −1.87524 + 2.16414i
\(624\) −5.05250e7 + 3.24704e7i −0.207947 + 0.133639i
\(625\) 3.48148e7 + 2.42142e8i 0.142602 + 0.991815i
\(626\) 1.03050e8 4.70615e7i 0.420075 0.191842i
\(627\) 2.84577e7 1.97928e8i 0.115451 0.802978i
\(628\) −7.73114e6 2.63299e7i −0.0312151 0.106309i
\(629\) −1.36831e8 8.79362e7i −0.549837 0.353359i
\(630\) 7.35213e7 1.60989e8i 0.294030 0.643836i
\(631\) −7.90923e6 + 2.69364e7i −0.0314808 + 0.107214i −0.973735 0.227686i \(-0.926884\pi\)
0.942254 + 0.334899i \(0.108702\pi\)
\(632\) −3.40606e7 + 2.95137e7i −0.134928 + 0.116916i
\(633\) −1.48985e8 1.71938e8i −0.587396 0.677891i
\(634\) 1.16763e8 + 3.42848e7i 0.458183 + 0.134535i
\(635\) −4.01644e8 1.83425e8i −1.56863 0.716368i
\(636\) 2.09469e7 3.25940e7i 0.0814233 0.126697i
\(637\) 3.27137e8 9.60562e7i 1.26564 0.371627i
\(638\) −9.42331e7 1.35487e7i −0.362862 0.0521717i
\(639\) 2.12742e6 + 4.65841e6i 0.00815364 + 0.0178540i
\(640\) −1.61485e8 + 2.32180e7i −0.616015 + 0.0885696i
\(641\) −7.69061e7 1.19668e8i −0.292003 0.454365i 0.663996 0.747736i \(-0.268859\pi\)
−0.955999 + 0.293371i \(0.905223\pi\)
\(642\) 9.64756e7 + 8.35966e7i 0.364596 + 0.315925i
\(643\) 376021.i 0.00141442i 1.00000 0.000707211i \(0.000225112\pi\)
−1.00000 0.000707211i \(0.999775\pi\)
\(644\) −2.60657e7 1.19840e8i −0.0975914 0.448689i
\(645\) 3.22237e8 1.20087
\(646\) −2.44577e8 + 2.82257e8i −0.907233 + 1.04700i
\(647\) 4.20943e8 2.70524e8i 1.55421 0.998832i 0.570042 0.821616i \(-0.306927\pi\)
0.984172 0.177217i \(-0.0567093\pi\)
\(648\) 4.66493e6 + 3.24453e7i 0.0171443 + 0.119241i
\(649\) −8.63520e7 + 3.94356e7i −0.315892 + 0.144263i
\(650\) 2.14495e7 1.49185e8i 0.0781047 0.543230i
\(651\) −4.34856e7 1.48098e8i −0.157617 0.536794i
\(652\) −4.43623e7 2.85099e7i −0.160056 0.102862i
\(653\) 4.90044e7 1.07305e8i 0.175993 0.385371i −0.800993 0.598673i \(-0.795695\pi\)
0.976986 + 0.213303i \(0.0684220\pi\)
\(654\) −3.83632e7 + 1.30653e8i −0.137146 + 0.467075i
\(655\) −3.38852e8 + 2.93617e8i −1.20583 + 1.04486i
\(656\) −1.54609e8 1.78428e8i −0.547675 0.632051i
\(657\) −7.26175e7 2.13224e7i −0.256062 0.0751866i
\(658\) 6.00439e8 + 2.74211e8i 2.10761 + 0.962515i
\(659\) −7.35712e7 + 1.14479e8i −0.257070 + 0.400009i −0.945668 0.325135i \(-0.894590\pi\)
0.688598 + 0.725144i \(0.258227\pi\)
\(660\) −5.98856e7 + 1.75840e7i −0.208301 + 0.0611626i
\(661\) −2.45122e8 3.52432e7i −0.848746 0.122031i −0.295802 0.955249i \(-0.595587\pi\)
−0.552945 + 0.833218i \(0.686496\pi\)
\(662\) −1.72735e8 3.78238e8i −0.595398 1.30374i
\(663\) 1.24087e8 1.78410e7i 0.425780 0.0612180i
\(664\) −2.08632e7 3.24637e7i −0.0712650 0.110891i
\(665\) 7.61930e8 + 6.60216e8i 2.59090 + 2.24503i
\(666\) 4.75033e7i 0.160806i
\(667\) −1.17114e8 4.36854e7i −0.394666 0.147217i
\(668\) −1.16844e8 −0.391992
\(669\) −2.28247e7 + 2.63411e7i −0.0762301 + 0.0879742i
\(670\) −3.79402e8 + 2.43827e8i −1.26146 + 0.810694i
\(671\) 3.42173e7 + 2.37987e8i 0.113261 + 0.787745i
\(672\) −1.42189e8 + 6.49355e7i −0.468552 + 0.213980i
\(673\) −3.32321e7 + 2.31134e8i −0.109022 + 0.758262i 0.859823 + 0.510593i \(0.170574\pi\)
−0.968844 + 0.247670i \(0.920335\pi\)
\(674\) 1.07350e8 + 3.65601e8i 0.350609 + 1.19407i
\(675\) −4.96911e7 3.19345e7i −0.161573 0.103836i
\(676\) 1.98728e7 4.35154e7i 0.0643309 0.140865i
\(677\) −743179. + 2.53104e6i −0.00239512 + 0.00815704i −0.960682 0.277651i \(-0.910444\pi\)
0.958287 + 0.285809i \(0.0922621\pi\)
\(678\) −4.68626e7 + 4.06067e7i −0.150362 + 0.130289i
\(679\) 3.95686e8 + 4.56646e8i 1.26398 + 1.45872i
\(680\) 5.37951e8 + 1.57957e8i 1.71086 + 0.502355i
\(681\) −7.24786e7 3.30999e7i −0.229493 0.104806i
\(682\) 8.26799e7 1.28653e8i 0.260644 0.405569i
\(683\) 5.36896e7 1.57647e7i 0.168511 0.0494792i −0.196389 0.980526i \(-0.562921\pi\)
0.364900 + 0.931047i \(0.381103\pi\)
\(684\) −3.84287e7 5.52522e6i −0.120085 0.0172656i
\(685\) −3.00881e8 6.58838e8i −0.936102 2.04978i
\(686\) −5.08779e8 + 7.31514e7i −1.57600 + 0.226595i
\(687\) −1.06488e8 1.65699e8i −0.328422 0.511034i
\(688\) 2.42140e8 + 2.09816e8i 0.743535 + 0.644277i
\(689\) 2.08139e8i 0.636348i
\(690\) 2.29645e8 1.64171e7i 0.699051 0.0499747i
\(691\) 3.71827e8 1.12695 0.563477 0.826132i \(-0.309463\pi\)
0.563477 + 0.826132i \(0.309463\pi\)
\(692\) −3.44661e6 + 3.97760e6i −0.0104010 + 0.0120034i
\(693\) 1.65441e8 1.06323e8i 0.497100 0.319467i
\(694\) −5.92265e7 4.11929e8i −0.177189 1.23238i
\(695\) −3.36564e8 + 1.53703e8i −1.00257 + 0.457856i
\(696\) −1.26517e7 + 8.79944e7i −0.0375250 + 0.260992i
\(697\) 1.38839e8 + 4.72844e8i 0.410029 + 1.39643i
\(698\) −2.96984e8 1.90860e8i −0.873305 0.561239i
\(699\) 1.11476e7 2.44098e7i 0.0326400 0.0714715i
\(700\) 4.42830e7 1.50814e8i 0.129105 0.439691i
\(701\) 3.83241e8 3.32080e8i 1.11255 0.964026i 0.112983 0.993597i \(-0.463960\pi\)
0.999563 + 0.0295709i \(0.00941407\pi\)
\(702\) −2.39763e7 2.76702e7i −0.0693061 0.0799835i
\(703\) −2.59640e8 7.62373e7i −0.747319 0.219433i
\(704\) −3.55925e8 1.62546e8i −1.02010 0.465862i
\(705\) 2.38452e8 3.71039e8i 0.680510 1.05889i
\(706\) −1.23248e8 + 3.61889e7i −0.350241 + 0.102840i
\(707\) 8.40847e7 + 1.20896e7i 0.237935 + 0.0342099i
\(708\) 7.65665e6 + 1.67657e7i 0.0215744 + 0.0472414i
\(709\) 2.94526e8 4.23464e7i 0.826389 0.118817i 0.283873 0.958862i \(-0.408381\pi\)
0.542516 + 0.840045i \(0.317472\pi\)
\(710\) −1.38309e7 2.15213e7i −0.0386435 0.0601304i
\(711\) −1.49100e7 1.29196e7i −0.0414828 0.0359450i
\(712\) 6.40628e8i 1.77487i
\(713\) 1.41984e8 1.41975e8i 0.391716 0.391691i
\(714\) −3.67311e8 −1.00911
\(715\) 2.19569e8 2.53396e8i 0.600693 0.693237i
\(716\) −5.63851e7 + 3.62365e7i −0.153612 + 0.0987205i
\(717\) −4.67696e7 3.25289e8i −0.126884 0.882496i
\(718\) 3.07148e8 1.40270e8i 0.829802 0.378958i
\(719\) 1.96555e7 1.36707e8i 0.0528807 0.367793i −0.946148 0.323734i \(-0.895062\pi\)
0.999029 0.0440595i \(-0.0140291\pi\)
\(720\) −3.31262e7 1.12817e8i −0.0887511 0.302259i
\(721\) −8.34470e8 5.36281e8i −2.22641 1.43083i
\(722\) −1.23851e8 + 2.71195e8i −0.329069 + 0.720561i
\(723\) −1.10908e8 + 3.77720e8i −0.293461 + 0.999435i
\(724\) −1.16374e8 + 1.00839e8i −0.306648 + 0.265712i
\(725\) −1.04907e8 1.21069e8i −0.275290 0.317701i
\(726\) 4.91465e6 + 1.44307e6i 0.0128435 + 0.00377118i
\(727\) −2.27689e8 1.03982e8i −0.592570 0.270618i 0.0964761 0.995335i \(-0.469243\pi\)
−0.689046 + 0.724718i \(0.741970\pi\)
\(728\) 2.53334e8 3.94195e8i 0.656596 1.02168i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) 3.74220e8 + 5.38047e7i 0.961962 + 0.138309i
\(731\) −2.77819e8 6.08338e8i −0.711229 1.55737i
\(732\) 4.62065e7 6.64349e6i 0.117807 0.0169380i
\(733\) 3.62069e8 + 5.63390e8i 0.919347 + 1.43053i 0.902508 + 0.430674i \(0.141724\pi\)
0.0168391 + 0.999858i \(0.494640\pi\)
\(734\) 4.64663e8 + 4.02632e8i 1.17503 + 1.01817i
\(735\) 6.67488e8i 1.68105i
\(736\) −1.62782e8 1.21865e8i −0.408293 0.305665i
\(737\) −5.01139e8 −1.25186
\(738\) 9.42518e7 1.08772e8i 0.234488 0.270614i
\(739\) −1.31666e8 + 8.46167e7i −0.326243 + 0.209664i −0.693501 0.720455i \(-0.743933\pi\)
0.367258 + 0.930119i \(0.380296\pi\)
\(740\) 1.20202e7 + 8.36023e7i 0.0296631 + 0.206311i
\(741\) 1.89717e8 8.66409e7i 0.466285 0.212945i
\(742\) 8.67896e7 6.03635e8i 0.212450 1.47762i
\(743\) −2.18207e8 7.43143e8i −0.531987 1.81178i −0.582202 0.813044i \(-0.697809\pi\)
0.0502143 0.998738i \(-0.484010\pi\)
\(744\) −1.20135e8 7.72062e7i −0.291710 0.187471i
\(745\) 1.60778e8 3.52055e8i 0.388829 0.851416i
\(746\) −6.29599e7 + 2.14422e8i −0.151652 + 0.516479i
\(747\) 1.27666e7 1.10623e7i 0.0306275 0.0265389i
\(748\) 8.48269e7 + 9.78954e7i 0.202688 + 0.233915i
\(749\) −6.86207e8 2.01489e8i −1.63309 0.479518i
\(750\) −542882. 247926.i −0.00128683 0.000587676i
\(751\) 2.05596e8 3.19914e8i 0.485395 0.755290i −0.509028 0.860750i \(-0.669995\pi\)
0.994424 + 0.105460i \(0.0336315\pi\)
\(752\) 4.20773e8 1.23550e8i 0.989452 0.290529i
\(753\) 3.16997e8 + 4.55774e7i 0.742456 + 0.106749i
\(754\) −4.12496e7 9.03240e7i −0.0962289 0.210712i
\(755\) 6.26515e8 9.00793e7i 1.45576 0.209307i
\(756\) −2.06431e7 3.21213e7i −0.0477760 0.0743409i
\(757\) −1.89049e8 1.63812e8i −0.435800 0.377623i 0.409151 0.912467i \(-0.365825\pi\)
−0.844951 + 0.534844i \(0.820370\pi\)
\(758\) 2.49628e8i 0.573174i
\(759\) 2.24532e8 + 1.22613e8i 0.513514 + 0.280421i
\(760\) 9.32764e8 2.12486
\(761\) 299707. 345880.i 0.000680053 0.000784823i −0.755409 0.655253i \(-0.772562\pi\)
0.756089 + 0.654468i \(0.227107\pi\)
\(762\) 2.25149e8 1.44695e8i 0.508869 0.327030i
\(763\) −1.08568e8 7.55107e8i −0.244415 1.69995i
\(764\) 9.69320e7 4.42673e7i 0.217364 0.0992667i
\(765\)