Properties

Label 69.7.f.a.7.20
Level $69$
Weight $7$
Character 69.7
Analytic conductor $15.874$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 7.20
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.20

$q$-expansion

\(f(q)\) \(=\) \(q+(6.34640 - 7.32413i) q^{2} +(13.1138 - 8.42776i) q^{3} +(-4.25801 - 29.6151i) q^{4} +(79.9255 - 36.5007i) q^{5} +(21.4997 - 149.533i) q^{6} +(-34.3232 - 116.894i) q^{7} +(277.849 + 178.563i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(6.34640 - 7.32413i) q^{2} +(13.1138 - 8.42776i) q^{3} +(-4.25801 - 29.6151i) q^{4} +(79.9255 - 36.5007i) q^{5} +(21.4997 - 149.533i) q^{6} +(-34.3232 - 116.894i) q^{7} +(277.849 + 178.563i) q^{8} +(100.946 - 221.041i) q^{9} +(239.903 - 817.033i) q^{10} +(1331.17 - 1153.47i) q^{11} +(-305.428 - 352.483i) q^{12} +(-2552.02 - 749.340i) q^{13} +(-1073.98 - 490.468i) q^{14} +(740.511 - 1152.26i) q^{15} +(4908.45 - 1441.25i) q^{16} +(2066.67 + 297.142i) q^{17} +(-978.288 - 2142.15i) q^{18} +(-2203.06 + 316.753i) q^{19} +(-1421.30 - 2211.58i) q^{20} +(-1435.26 - 1243.66i) q^{21} -17070.1i q^{22} +(4268.24 - 11393.8i) q^{23} +5148.55 q^{24} +(-5176.42 + 5973.91i) q^{25} +(-21684.4 + 13935.7i) q^{26} +(-539.088 - 3749.44i) q^{27} +(-3315.68 + 1514.22i) q^{28} +(-5683.62 + 39530.4i) q^{29} +(-3739.71 - 12736.3i) q^{30} +(-20746.6 - 13333.0i) q^{31} +(11814.1 - 25869.2i) q^{32} +(7735.66 - 26345.2i) q^{33} +(15292.2 - 13250.8i) q^{34} +(-7010.01 - 8089.99i) q^{35} +(-6975.97 - 2048.33i) q^{36} +(8549.41 + 3904.38i) q^{37} +(-11661.6 + 18145.8i) q^{38} +(-39782.0 + 11681.1i) q^{39} +(28724.9 + 4130.02i) q^{40} +(-7153.06 - 15663.0i) q^{41} +(-18217.5 + 2619.28i) q^{42} +(32938.7 + 51253.7i) q^{43} +(-39828.3 - 34511.4i) q^{44} -21351.4i q^{45} +(-56361.6 - 103571. i) q^{46} -27056.0 q^{47} +(52222.2 - 60267.6i) q^{48} +(86486.5 - 55581.5i) q^{49} +(10902.1 + 75825.6i) q^{50} +(29606.2 - 13520.7i) q^{51} +(-11325.3 + 78769.0i) q^{52} +(69929.4 + 238158. i) q^{53} +(-30882.7 - 19847.1i) q^{54} +(64292.3 - 140780. i) q^{55} +(11336.3 - 38607.7i) q^{56} +(-26221.1 + 22720.7i) q^{57} +(253456. + 292503. i) q^{58} +(247140. + 72566.9i) q^{59} +(-37277.4 - 17024.0i) q^{60} +(8137.85 - 12662.7i) q^{61} +(-229319. + 67334.1i) q^{62} +(-29303.1 - 4213.15i) q^{63} +(21515.5 + 47112.4i) q^{64} +(-231323. + 33259.2i) q^{65} +(-143862. - 223854. i) q^{66} +(240994. + 208822. i) q^{67} -62469.9i q^{68} +(-40050.9 - 185388. i) q^{69} -103740. q^{70} +(-38509.2 + 44442.0i) q^{71} +(67517.3 - 43390.8i) q^{72} +(70725.9 + 491909. i) q^{73} +(82854.2 - 37838.2i) q^{74} +(-17536.1 + 121967. i) q^{75} +(18761.3 + 63895.3i) q^{76} +(-180524. - 116016. i) q^{77} +(-166919. + 365501. i) q^{78} +(-244482. + 832629. i) q^{79} +(339704. - 294355. i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(-160114. - 47013.7i) q^{82} +(-660482. - 301632. i) q^{83} +(-30719.9 + 47801.0i) q^{84} +(176025. - 51685.7i) q^{85} +(584431. + 84028.5i) q^{86} +(258619. + 566296. i) q^{87} +(575832. - 82792.2i) q^{88} +(-301763. - 469553. i) q^{89} +(-156380. - 135504. i) q^{90} +324035. i q^{91} +(-355602. - 77889.6i) q^{92} -384435. q^{93} +(-171708. + 198162. i) q^{94} +(-164519. + 105730. i) q^{95} +(-63091.4 - 438810. i) q^{96} +(234785. - 107223. i) q^{97} +(141791. - 986181. i) q^{98} +(-120587. - 410681. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.34640 7.32413i 0.793300 0.915517i −0.204694 0.978826i \(-0.565620\pi\)
0.997994 + 0.0633094i \(0.0201655\pi\)
\(3\) 13.1138 8.42776i 0.485698 0.312139i
\(4\) −4.25801 29.6151i −0.0665315 0.462736i
\(5\) 79.9255 36.5007i 0.639404 0.292006i −0.0692104 0.997602i \(-0.522048\pi\)
0.708614 + 0.705596i \(0.249321\pi\)
\(6\) 21.4997 149.533i 0.0995355 0.692284i
\(7\) −34.3232 116.894i −0.100068 0.340799i 0.894207 0.447654i \(-0.147740\pi\)
−0.994275 + 0.106855i \(0.965922\pi\)
\(8\) 277.849 + 178.563i 0.542674 + 0.348755i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) 239.903 817.033i 0.239903 0.817033i
\(11\) 1331.17 1153.47i 1.00013 0.866618i 0.00906057 0.999959i \(-0.497116\pi\)
0.991070 + 0.133341i \(0.0425704\pi\)
\(12\) −305.428 352.483i −0.176752 0.203983i
\(13\) −2552.02 749.340i −1.16159 0.341074i −0.356541 0.934280i \(-0.616044\pi\)
−0.805051 + 0.593206i \(0.797862\pi\)
\(14\) −1073.98 490.468i −0.391390 0.178742i
\(15\) 740.511 1152.26i 0.219411 0.341410i
\(16\) 4908.45 1441.25i 1.19835 0.351868i
\(17\) 2066.67 + 297.142i 0.420653 + 0.0604808i 0.349391 0.936977i \(-0.386388\pi\)
0.0712618 + 0.997458i \(0.477297\pi\)
\(18\) −978.288 2142.15i −0.167745 0.367310i
\(19\) −2203.06 + 316.753i −0.321193 + 0.0461806i −0.301026 0.953616i \(-0.597329\pi\)
−0.0201674 + 0.999797i \(0.506420\pi\)
\(20\) −1421.30 2211.58i −0.177662 0.276448i
\(21\) −1435.26 1243.66i −0.154979 0.134290i
\(22\) 17070.1i 1.60312i
\(23\) 4268.24 11393.8i 0.350804 0.936449i
\(24\) 5148.55 0.372436
\(25\) −5176.42 + 5973.91i −0.331291 + 0.382330i
\(26\) −21684.4 + 13935.7i −1.23375 + 0.792883i
\(27\) −539.088 3749.44i −0.0273885 0.190491i
\(28\) −3315.68 + 1514.22i −0.151042 + 0.0689787i
\(29\) −5683.62 + 39530.4i −0.233040 + 1.62083i 0.451788 + 0.892126i \(0.350787\pi\)
−0.684828 + 0.728705i \(0.740123\pi\)
\(30\) −3739.71 12736.3i −0.138508 0.471714i
\(31\) −20746.6 13333.0i −0.696404 0.447552i 0.143953 0.989585i \(-0.454019\pi\)
−0.840357 + 0.542033i \(0.817655\pi\)
\(32\) 11814.1 25869.2i 0.360537 0.789465i
\(33\) 7735.66 26345.2i 0.215256 0.733095i
\(34\) 15292.2 13250.8i 0.389075 0.337136i
\(35\) −7010.01 8089.99i −0.163499 0.188688i
\(36\) −6975.97 2048.33i −0.149519 0.0439028i
\(37\) 8549.41 + 3904.38i 0.168784 + 0.0770810i 0.498015 0.867168i \(-0.334062\pi\)
−0.329231 + 0.944249i \(0.606790\pi\)
\(38\) −11661.6 + 18145.8i −0.212523 + 0.330693i
\(39\) −39782.0 + 11681.1i −0.670645 + 0.196919i
\(40\) 28724.9 + 4130.02i 0.448826 + 0.0645315i
\(41\) −7153.06 15663.0i −0.103786 0.227260i 0.850614 0.525791i \(-0.176231\pi\)
−0.954400 + 0.298531i \(0.903503\pi\)
\(42\) −18217.5 + 2619.28i −0.245890 + 0.0353536i
\(43\) 32938.7 + 51253.7i 0.414287 + 0.644643i 0.984200 0.177062i \(-0.0566593\pi\)
−0.569912 + 0.821705i \(0.693023\pi\)
\(44\) −39828.3 34511.4i −0.467556 0.405140i
\(45\) 21351.4i 0.234309i
\(46\) −56361.6 103571.i −0.579041 1.06405i
\(47\) −27056.0 −0.260598 −0.130299 0.991475i \(-0.541594\pi\)
−0.130299 + 0.991475i \(0.541594\pi\)
\(48\) 52222.2 60267.6i 0.472206 0.544954i
\(49\) 86486.5 55581.5i 0.735123 0.472435i
\(50\) 10902.1 + 75825.6i 0.0872166 + 0.606605i
\(51\) 29606.2 13520.7i 0.223189 0.101927i
\(52\) −11325.3 + 78769.0i −0.0805450 + 0.560203i
\(53\) 69929.4 + 238158.i 0.469712 + 1.59969i 0.764830 + 0.644233i \(0.222823\pi\)
−0.295117 + 0.955461i \(0.595359\pi\)
\(54\) −30882.7 19847.1i −0.196125 0.126042i
\(55\) 64292.3 140780.i 0.386430 0.846163i
\(56\) 11336.3 38607.7i 0.0645514 0.219842i
\(57\) −26221.1 + 22720.7i −0.141588 + 0.122687i
\(58\) 253456. + 292503.i 1.29903 + 1.49916i
\(59\) 247140. + 72566.9i 1.20334 + 0.353332i 0.821128 0.570744i \(-0.193345\pi\)
0.382209 + 0.924076i \(0.375163\pi\)
\(60\) −37277.4 17024.0i −0.172580 0.0788148i
\(61\) 8137.85 12662.7i 0.0358525 0.0557876i −0.822865 0.568237i \(-0.807626\pi\)
0.858717 + 0.512450i \(0.171262\pi\)
\(62\) −229319. + 67334.1i −0.962199 + 0.282527i
\(63\) −29303.1 4213.15i −0.117190 0.0168494i
\(64\) 21515.5 + 47112.4i 0.0820752 + 0.179720i
\(65\) −231323. + 33259.2i −0.842322 + 0.121108i
\(66\) −143862. 223854.i −0.500398 0.778634i
\(67\) 240994. + 208822.i 0.801274 + 0.694308i 0.955909 0.293663i \(-0.0948745\pi\)
−0.154634 + 0.987972i \(0.549420\pi\)
\(68\) 62469.9i 0.198675i
\(69\) −40050.9 185388.i −0.121917 0.564331i
\(70\) −103740. −0.302450
\(71\) −38509.2 + 44442.0i −0.107594 + 0.124171i −0.806992 0.590562i \(-0.798906\pi\)
0.699398 + 0.714733i \(0.253452\pi\)
\(72\) 67517.3 43390.8i 0.180891 0.116252i
\(73\) 70725.9 + 491909.i 0.181807 + 1.26449i 0.852488 + 0.522747i \(0.175093\pi\)
−0.670681 + 0.741746i \(0.733998\pi\)
\(74\) 82854.2 37838.2i 0.204465 0.0933761i
\(75\) −17536.1 + 121967.i −0.0415672 + 0.289106i
\(76\) 18761.3 + 63895.3i 0.0427389 + 0.145555i
\(77\) −180524. 116016.i −0.395423 0.254123i
\(78\) −166919. + 365501.i −0.351740 + 0.770203i
\(79\) −244482. + 832629.i −0.495868 + 1.68877i 0.207743 + 0.978184i \(0.433388\pi\)
−0.703610 + 0.710586i \(0.748430\pi\)
\(80\) 339704. 294355.i 0.663484 0.574912i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) −160114. 47013.7i −0.290394 0.0852674i
\(83\) −660482. 301632.i −1.15512 0.527525i −0.256625 0.966511i \(-0.582611\pi\)
−0.898494 + 0.438985i \(0.855338\pi\)
\(84\) −30719.9 + 47801.0i −0.0518300 + 0.0806491i
\(85\) 176025. 51685.7i 0.286628 0.0841616i
\(86\) 584431. + 84028.5i 0.918836 + 0.132109i
\(87\) 258619. + 566296.i 0.392737 + 0.859975i
\(88\) 575832. 82792.2i 0.844983 0.121490i
\(89\) −301763. 469553.i −0.428052 0.666062i 0.558501 0.829504i \(-0.311377\pi\)
−0.986553 + 0.163442i \(0.947740\pi\)
\(90\) −156380. 135504.i −0.214513 0.185877i
\(91\) 324035.i 0.429999i
\(92\) −355602. 77889.6i −0.456668 0.100027i
\(93\) −384435. −0.477941
\(94\) −171708. + 198162.i −0.206732 + 0.238582i
\(95\) −164519. + 105730.i −0.191887 + 0.123318i
\(96\) −63091.4 438810.i −0.0713110 0.495979i
\(97\) 234785. 107223.i 0.257249 0.117482i −0.282616 0.959233i \(-0.591202\pi\)
0.539866 + 0.841751i \(0.318475\pi\)
\(98\) 141791. 986181.i 0.150651 1.04780i
\(99\) −120587. 410681.i −0.124278 0.423252i
\(100\) 198959. + 127863.i 0.198959 + 0.127863i
\(101\) 372064. 814707.i 0.361122 0.790747i −0.638652 0.769495i \(-0.720508\pi\)
0.999774 0.0212512i \(-0.00676497\pi\)
\(102\) 88865.4 302648.i 0.0837398 0.285192i
\(103\) −307574. + 266514.i −0.281473 + 0.243898i −0.784142 0.620581i \(-0.786897\pi\)
0.502669 + 0.864479i \(0.332351\pi\)
\(104\) −575271. 663899.i −0.511414 0.590203i
\(105\) −160109. 47012.1i −0.138308 0.0406109i
\(106\) 2.18810e6 + 999271.i 1.83717 + 0.839007i
\(107\) 506641. 788349.i 0.413570 0.643528i −0.570502 0.821296i \(-0.693251\pi\)
0.984072 + 0.177768i \(0.0568878\pi\)
\(108\) −108745. + 31930.3i −0.0863250 + 0.0253473i
\(109\) −583658. 83917.4i −0.450691 0.0647996i −0.0867680 0.996229i \(-0.527654\pi\)
−0.363923 + 0.931429i \(0.618563\pi\)
\(110\) −623070. 1.36433e6i −0.468122 1.02504i
\(111\) 145021. 20850.8i 0.106038 0.0152460i
\(112\) −336947. 524300.i −0.239832 0.373186i
\(113\) −2.06372e6 1.78822e6i −1.43026 1.23933i −0.926931 0.375232i \(-0.877563\pi\)
−0.503328 0.864095i \(-0.667891\pi\)
\(114\) 336242.i 0.226954i
\(115\) −74740.2 1.06645e6i −0.0491429 0.701206i
\(116\) 1.19490e6 0.765522
\(117\) −423250. + 488457.i −0.264265 + 0.304978i
\(118\) 2.09994e6 1.34955e6i 1.27809 0.821377i
\(119\) −36200.5 251780.i −0.0214820 0.149410i
\(120\) 411501. 187926.i 0.238137 0.108753i
\(121\) 189415. 1.31741e6i 0.106920 0.743642i
\(122\) −41097.6 139965.i −0.0226327 0.0770799i
\(123\) −225808. 145118.i −0.121346 0.0779841i
\(124\) −306520. + 671185.i −0.160766 + 0.352028i
\(125\) −582467. + 1.98370e6i −0.298223 + 1.01565i
\(126\) −216827. + 187881.i −0.108393 + 0.0939231i
\(127\) −1.45659e6 1.68100e6i −0.711093 0.820645i 0.279113 0.960258i \(-0.409960\pi\)
−0.990206 + 0.139613i \(0.955414\pi\)
\(128\) 2.22798e6 + 654195.i 1.06239 + 0.311944i
\(129\) 863907. + 394533.i 0.402437 + 0.183787i
\(130\) −1.22447e6 + 1.90531e6i −0.557338 + 0.867234i
\(131\) −1.53309e6 + 450155.i −0.681950 + 0.200239i −0.604318 0.796743i \(-0.706554\pi\)
−0.0776323 + 0.996982i \(0.524736\pi\)
\(132\) −813156. 116914.i −0.353551 0.0508329i
\(133\) 112643. + 246653.i 0.0478793 + 0.104841i
\(134\) 3.05888e6 439801.i 1.27130 0.182786i
\(135\) −179944. 279999.i −0.0731369 0.113803i
\(136\) 521164. + 451591.i 0.207185 + 0.179526i
\(137\) 4.63498e6i 1.80255i 0.433251 + 0.901273i \(0.357366\pi\)
−0.433251 + 0.901273i \(0.642634\pi\)
\(138\) −1.61198e6 883206.i −0.613371 0.336066i
\(139\) −103335. −0.0384773 −0.0192386 0.999815i \(-0.506124\pi\)
−0.0192386 + 0.999815i \(0.506124\pi\)
\(140\) −209737. + 242050.i −0.0764349 + 0.0882105i
\(141\) −354809. + 228022.i −0.126572 + 0.0813428i
\(142\) 81104.3 + 564093.i 0.0283256 + 0.197009i
\(143\) −4.26152e6 + 1.94617e6i −1.45732 + 0.665538i
\(144\) 176913. 1.23046e6i 0.0592477 0.412077i
\(145\) 988624. + 3.36695e6i 0.324285 + 1.10441i
\(146\) 4.05166e6 + 2.60385e6i 1.30189 + 0.836675i
\(147\) 665743. 1.45777e6i 0.209582 0.458921i
\(148\) 79225.3 269817.i 0.0244387 0.0832307i
\(149\) −2.16399e6 + 1.87511e6i −0.654179 + 0.566849i −0.917439 0.397876i \(-0.869748\pi\)
0.263261 + 0.964725i \(0.415202\pi\)
\(150\) 782008. + 902485.i 0.231706 + 0.267403i
\(151\) −1.04975e6 308234.i −0.304898 0.0895260i 0.125705 0.992068i \(-0.459881\pi\)
−0.430603 + 0.902542i \(0.641699\pi\)
\(152\) −668679. 305376.i −0.190409 0.0869568i
\(153\) 274302. 426823.i 0.0765870 0.119172i
\(154\) −1.99539e6 + 585899.i −0.546343 + 0.160421i
\(155\) −2.14485e6 308382.i −0.575971 0.0828122i
\(156\) 515328. + 1.12841e6i 0.135741 + 0.297231i
\(157\) −2.99973e6 + 431296.i −0.775146 + 0.111449i −0.518524 0.855063i \(-0.673518\pi\)
−0.256621 + 0.966512i \(0.582609\pi\)
\(158\) 4.54671e6 + 7.07482e6i 1.15273 + 1.79368i
\(159\) 2.92418e6 + 2.53381e6i 0.727465 + 0.630352i
\(160\) 2.49883e6i 0.610066i
\(161\) −1.47836e6 107861.i −0.354245 0.0258456i
\(162\) −572257. −0.134600
\(163\) 3.14968e6 3.63492e6i 0.727283 0.839329i −0.264880 0.964281i \(-0.585332\pi\)
0.992163 + 0.124952i \(0.0398777\pi\)
\(164\) −433404. + 278532.i −0.0982566 + 0.0631457i
\(165\) −343344. 2.38801e6i −0.0764325 0.531600i
\(166\) −6.40088e6 + 2.92318e6i −1.39931 + 0.639045i
\(167\) −103111. + 717153.i −0.0221389 + 0.153979i −0.997892 0.0648940i \(-0.979329\pi\)
0.975753 + 0.218873i \(0.0702381\pi\)
\(168\) −176715. 601835.i −0.0372687 0.126926i
\(169\) 1.89071e6 + 1.21509e6i 0.391710 + 0.251737i
\(170\) 738574. 1.61725e6i 0.150331 0.329178i
\(171\) −152375. + 518941.i −0.0304737 + 0.103784i
\(172\) 1.37763e6 1.19372e6i 0.270737 0.234595i
\(173\) 1.89219e6 + 2.18370e6i 0.365448 + 0.421750i 0.908458 0.417977i \(-0.137261\pi\)
−0.543009 + 0.839727i \(0.682715\pi\)
\(174\) 5.78893e6 + 1.69978e6i 1.09888 + 0.322660i
\(175\) 875985. + 400049.i 0.163449 + 0.0746447i
\(176\) 4.87157e6 7.58030e6i 0.893574 1.39043i
\(177\) 3.85253e6 1.13121e6i 0.694747 0.203996i
\(178\) −5.35418e6 769815.i −0.949364 0.136498i
\(179\) 217144. + 475479.i 0.0378607 + 0.0829035i 0.927617 0.373532i \(-0.121853\pi\)
−0.889757 + 0.456435i \(0.849126\pi\)
\(180\) −632324. + 90914.4i −0.108423 + 0.0155889i
\(181\) −2.24627e6 3.49526e6i −0.378813 0.589445i 0.598531 0.801100i \(-0.295751\pi\)
−0.977345 + 0.211654i \(0.932115\pi\)
\(182\) 2.37328e6 + 2.05646e6i 0.393672 + 0.341118i
\(183\) 234641.i 0.0382869i
\(184\) 3.22043e6 2.40360e6i 0.516964 0.385841i
\(185\) 825828. 0.130429
\(186\) −2.43978e6 + 2.81565e6i −0.379150 + 0.437563i
\(187\) 3.09384e6 1.98829e6i 0.473122 0.304057i
\(188\) 115205. + 801268.i 0.0173380 + 0.120588i
\(189\) −419784. + 191709.i −0.0621785 + 0.0283960i
\(190\) −269723. + 1.87597e6i −0.0393240 + 0.273504i
\(191\) 84455.1 + 287628.i 0.0121206 + 0.0412791i 0.965331 0.261028i \(-0.0840614\pi\)
−0.953211 + 0.302307i \(0.902243\pi\)
\(192\) 679203. + 436497.i 0.0959613 + 0.0616706i
\(193\) 4.71202e6 1.03179e7i 0.655444 1.43522i −0.231264 0.972891i \(-0.574286\pi\)
0.886708 0.462330i \(-0.152987\pi\)
\(194\) 704724. 2.40007e6i 0.0965193 0.328714i
\(195\) −2.75323e6 + 2.38569e6i −0.371312 + 0.321743i
\(196\) −2.01431e6 2.32464e6i −0.267522 0.308737i
\(197\) −5.43399e6 1.59556e6i −0.710755 0.208697i −0.0936819 0.995602i \(-0.529864\pi\)
−0.617073 + 0.786906i \(0.711682\pi\)
\(198\) −3.77318e6 1.72315e6i −0.486084 0.221987i
\(199\) 2.41966e6 3.76506e6i 0.307040 0.477763i −0.653105 0.757268i \(-0.726534\pi\)
0.960144 + 0.279504i \(0.0901701\pi\)
\(200\) −2.50498e6 + 735529.i −0.313123 + 0.0919411i
\(201\) 4.92026e6 + 707426.i 0.605898 + 0.0871150i
\(202\) −3.60575e6 7.89550e6i −0.437464 0.957912i
\(203\) 4.81595e6 692429.i 0.575697 0.0827727i
\(204\) −526481. 819221.i −0.0620144 0.0964963i
\(205\) −1.14342e6 990781.i −0.132723 0.115005i
\(206\) 3.94411e6i 0.451178i
\(207\) −2.08762e6 2.09361e6i −0.235365 0.236039i
\(208\) −1.36064e7 −1.51201
\(209\) −2.56730e6 + 2.96282e6i −0.281214 + 0.324538i
\(210\) −1.36044e6 + 874299.i −0.146899 + 0.0944066i
\(211\) 951540. + 6.61811e6i 0.101293 + 0.704509i 0.975667 + 0.219257i \(0.0703632\pi\)
−0.874374 + 0.485252i \(0.838728\pi\)
\(212\) 6.75531e6 3.08505e6i 0.708986 0.323783i
\(213\) −130457. + 907352.i −0.0134999 + 0.0938938i
\(214\) −2.55863e6 8.71389e6i −0.261075 0.889141i
\(215\) 4.50344e6 + 2.89419e6i 0.453137 + 0.291213i
\(216\) 519725. 1.13804e6i 0.0515718 0.112927i
\(217\) −846461. + 2.88278e6i −0.0828377 + 0.282119i
\(218\) −4.31875e6 + 3.74222e6i −0.416858 + 0.361210i
\(219\) 5.07318e6 + 5.85476e6i 0.483001 + 0.557413i
\(220\) −4.44299e6 1.30458e6i −0.417260 0.122519i
\(221\) −5.05152e6 2.30695e6i −0.467999 0.213728i
\(222\) 767645. 1.19448e6i 0.0701619 0.109174i
\(223\) 1.58647e7 4.65831e6i 1.43060 0.420062i 0.527523 0.849541i \(-0.323121\pi\)
0.903077 + 0.429479i \(0.141303\pi\)
\(224\) −3.42945e6 493080.i −0.305127 0.0438706i
\(225\) 797938. + 1.74724e6i 0.0700522 + 0.153393i
\(226\) −2.61943e7 + 3.76618e6i −2.26925 + 0.326269i
\(227\) −173617. 270154.i −0.0148428 0.0230958i 0.833753 0.552138i \(-0.186188\pi\)
−0.848596 + 0.529042i \(0.822551\pi\)
\(228\) 784527. + 679797.i 0.0661917 + 0.0573554i
\(229\) 1.47003e7i 1.22411i 0.790817 + 0.612053i \(0.209656\pi\)
−0.790817 + 0.612053i \(0.790344\pi\)
\(230\) −8.28513e6 6.22069e6i −0.680951 0.511275i
\(231\) −3.34511e6 −0.271378
\(232\) −8.63785e6 + 9.96861e6i −0.691738 + 0.798309i
\(233\) 1.14793e7 7.37733e6i 0.907506 0.583219i −0.00150145 0.999999i \(-0.500478\pi\)
0.909007 + 0.416780i \(0.136842\pi\)
\(234\) 891408. + 6.19988e6i 0.0695711 + 0.483878i
\(235\) −2.16247e6 + 987566.i −0.166627 + 0.0760961i
\(236\) 1.09675e6 7.62808e6i 0.0834397 0.580336i
\(237\) 3.81110e6 + 1.29794e7i 0.286289 + 0.975012i
\(238\) −2.07381e6 1.33276e6i −0.153829 0.0988600i
\(239\) 944182. 2.06747e6i 0.0691611 0.151442i −0.871894 0.489694i \(-0.837108\pi\)
0.941055 + 0.338252i \(0.109836\pi\)
\(240\) 1.97407e6 6.72306e6i 0.142800 0.486333i
\(241\) 1.01306e7 8.77824e6i 0.723745 0.627129i −0.213036 0.977044i \(-0.568335\pi\)
0.936781 + 0.349916i \(0.113790\pi\)
\(242\) −8.44676e6 9.74809e6i −0.595997 0.687817i
\(243\) −883197. 259330.i −0.0615515 0.0180732i
\(244\) −409660. 187085.i −0.0282003 0.0128786i
\(245\) 4.88371e6 7.59920e6i 0.332087 0.516737i
\(246\) −2.49593e6 + 732872.i −0.167659 + 0.0492292i
\(247\) 5.85961e6 + 842485.i 0.388846 + 0.0559077i
\(248\) −3.38364e6 7.40913e6i −0.221834 0.485750i
\(249\) −1.12035e7 + 1.61083e6i −0.725701 + 0.104340i
\(250\) 1.08323e7 + 1.68554e7i 0.693268 + 1.07875i
\(251\) 1.45158e7 + 1.25780e7i 0.917951 + 0.795409i 0.979239 0.202711i \(-0.0649752\pi\)
−0.0612875 + 0.998120i \(0.519521\pi\)
\(252\) 885755.i 0.0553493i
\(253\) −7.46059e6 2.00904e7i −0.460693 1.24058i
\(254\) −2.15559e7 −1.31542
\(255\) 1.87278e6 2.16130e6i 0.112945 0.130345i
\(256\) 1.61425e7 1.03742e7i 0.962170 0.618349i
\(257\) −3.69408e6 2.56929e7i −0.217624 1.51361i −0.746772 0.665080i \(-0.768397\pi\)
0.529148 0.848530i \(-0.322512\pi\)
\(258\) 8.37231e6 3.82351e6i 0.487513 0.222640i
\(259\) 162956. 1.13338e6i 0.00937932 0.0652346i
\(260\) 1.96995e6 + 6.70903e6i 0.112082 + 0.381716i
\(261\) 8.16409e6 + 5.24674e6i 0.459184 + 0.295099i
\(262\) −6.43258e6 + 1.40854e7i −0.357669 + 0.783186i
\(263\) 676282. 2.30320e6i 0.0371758 0.126609i −0.938814 0.344423i \(-0.888074\pi\)
0.975990 + 0.217814i \(0.0698926\pi\)
\(264\) 6.85362e6 5.93870e6i 0.372485 0.322760i
\(265\) 1.42821e7 + 1.64824e7i 0.767456 + 0.885691i
\(266\) 2.52139e6 + 740348.i 0.133966 + 0.0393361i
\(267\) −7.91456e6 3.61446e6i −0.415808 0.189893i
\(268\) 5.15814e6 8.02623e6i 0.267972 0.416972i
\(269\) 2.88708e7 8.47723e6i 1.48321 0.435509i 0.562840 0.826566i \(-0.309709\pi\)
0.920367 + 0.391057i \(0.127890\pi\)
\(270\) −3.19274e6 459047.i −0.162208 0.0233220i
\(271\) −1.17377e7 2.57020e7i −0.589760 1.29139i −0.935587 0.353096i \(-0.885129\pi\)
0.345827 0.938298i \(-0.387599\pi\)
\(272\) 1.05724e7 1.52008e6i 0.525372 0.0755371i
\(273\) 2.73089e6 + 4.24935e6i 0.134220 + 0.208850i
\(274\) 3.39472e7 + 2.94154e7i 1.65026 + 1.42996i
\(275\) 1.39232e7i 0.669483i
\(276\) −5.31975e6 + 1.97550e6i −0.253025 + 0.0939613i
\(277\) −6.72173e6 −0.316258 −0.158129 0.987418i \(-0.550546\pi\)
−0.158129 + 0.987418i \(0.550546\pi\)
\(278\) −655807. + 756841.i −0.0305240 + 0.0352266i
\(279\) −5.04142e6 + 3.23992e6i −0.232135 + 0.149184i
\(280\) −503155. 3.49952e6i −0.0229207 0.159417i
\(281\) −2.41113e7 + 1.10113e7i −1.08668 + 0.496270i −0.876505 0.481393i \(-0.840131\pi\)
−0.210176 + 0.977664i \(0.567404\pi\)
\(282\) −581696. + 4.04578e6i −0.0259387 + 0.180408i
\(283\) 2.42094e6 + 8.24497e6i 0.106813 + 0.363773i 0.995502 0.0947380i \(-0.0302013\pi\)
−0.888689 + 0.458510i \(0.848383\pi\)
\(284\) 1.48013e6 + 951221.i 0.0646166 + 0.0415266i
\(285\) −1.26641e6 + 2.77306e6i −0.0547067 + 0.119791i
\(286\) −1.27913e7 + 4.35631e7i −0.546784 + 1.86218i
\(287\) −1.58540e6 + 1.37375e6i −0.0670644 + 0.0581116i
\(288\) −4.52556e6 5.22277e6i −0.189450 0.218637i
\(289\) −1.89770e7 5.57215e6i −0.786202 0.230850i
\(290\) 3.09342e7 + 1.41272e7i 1.26836 + 0.579243i
\(291\) 2.17528e6 3.38481e6i 0.0882748 0.137358i
\(292\) 1.42668e7 4.18911e6i 0.573031 0.168257i
\(293\) −2.67614e7 3.84770e6i −1.06391 0.152967i −0.411940 0.911211i \(-0.635149\pi\)
−0.651971 + 0.758244i \(0.726058\pi\)
\(294\) −6.45186e6 1.41276e7i −0.253889 0.555938i
\(295\) 2.24015e7 3.22086e6i 0.872593 0.125460i
\(296\) 1.67827e6 + 2.61144e6i 0.0647122 + 0.100694i
\(297\) −5.04248e6 4.36933e6i −0.192475 0.166781i
\(298\) 2.77495e7i 1.04859i
\(299\) −1.94304e7 + 2.58787e7i −0.726890 + 0.968121i
\(300\) 3.68672e6 0.136545
\(301\) 4.86068e6 5.60953e6i 0.178237 0.205696i
\(302\) −8.91966e6 + 5.73232e6i −0.323838 + 0.208118i
\(303\) −1.98696e6 1.38196e7i −0.0714268 0.496784i
\(304\) −1.03571e7 + 4.72993e6i −0.368653 + 0.168358i
\(305\) 188222. 1.30911e6i 0.00663393 0.0461400i
\(306\) −1.38527e6 4.71781e6i −0.0483472 0.164656i
\(307\) −9.91119e6 6.36953e6i −0.342539 0.220137i 0.358048 0.933703i \(-0.383442\pi\)
−0.700588 + 0.713566i \(0.747079\pi\)
\(308\) −2.66714e6 + 5.84023e6i −0.0912839 + 0.199884i
\(309\) −1.78736e6 + 6.08718e6i −0.0605809 + 0.206320i
\(310\) −1.58707e7 + 1.37520e7i −0.532734 + 0.461616i
\(311\) 2.45610e7 + 2.83449e7i 0.816515 + 0.942309i 0.999165 0.0408692i \(-0.0130127\pi\)
−0.182649 + 0.983178i \(0.558467\pi\)
\(312\) −1.31392e7 3.85802e6i −0.432618 0.127028i
\(313\) −1.31356e7 5.99881e6i −0.428367 0.195629i 0.189552 0.981871i \(-0.439297\pi\)
−0.617918 + 0.786242i \(0.712024\pi\)
\(314\) −1.58786e7 + 2.47076e7i −0.512889 + 0.798071i
\(315\) −2.49585e6 + 732847.i −0.0798521 + 0.0234467i
\(316\) 2.56994e7 + 3.69502e6i 0.814446 + 0.117100i
\(317\) −1.32376e7 2.89864e7i −0.415559 0.909947i −0.995453 0.0952552i \(-0.969633\pi\)
0.579894 0.814692i \(-0.303094\pi\)
\(318\) 3.71160e7 5.33647e6i 1.15420 0.165948i
\(319\) 3.80312e7 + 5.91778e7i 1.17157 + 1.82300i
\(320\) 3.43928e6 + 2.98015e6i 0.104958 + 0.0909469i
\(321\) 1.46081e7i 0.441652i
\(322\) −1.01723e7 + 1.01432e7i −0.304684 + 0.303814i
\(323\) −4.64713e6 −0.137904
\(324\) −1.15696e6 + 1.33520e6i −0.0340160 + 0.0392566i
\(325\) 1.76868e7 1.13666e7i 0.515228 0.331117i
\(326\) −6.63355e6 4.61373e7i −0.191467 1.33168i
\(327\) −8.36124e6 + 3.81845e6i −0.239126 + 0.109205i
\(328\) 809360. 5.62922e6i 0.0229361 0.159524i
\(329\) 928649. + 3.16269e6i 0.0260774 + 0.0888114i
\(330\) −1.96691e7 1.26406e7i −0.547322 0.351743i
\(331\) 1.62597e7 3.56038e7i 0.448362 0.981776i −0.541625 0.840620i \(-0.682191\pi\)
0.989987 0.141156i \(-0.0450819\pi\)
\(332\) −6.12053e6 + 2.08446e7i −0.167253 + 0.569613i
\(333\) 1.72605e6 1.49563e6i 0.0467436 0.0405035i
\(334\) 4.59814e6 + 5.30653e6i 0.123408 + 0.142420i
\(335\) 2.68837e7 + 7.89377e6i 0.715080 + 0.209966i
\(336\) −8.83735e6 4.03588e6i −0.232972 0.106395i
\(337\) 3.20187e7 4.98220e7i 0.836592 1.30176i −0.114678 0.993403i \(-0.536584\pi\)
0.951270 0.308360i \(-0.0997801\pi\)
\(338\) 2.08987e7 6.13640e6i 0.541213 0.158914i
\(339\) −4.21340e7 6.05795e6i −1.08152 0.155499i
\(340\) −2.28020e6 4.99294e6i −0.0580144 0.127034i
\(341\) −4.29965e7 + 6.18197e6i −1.08435 + 0.155906i
\(342\) 2.83376e6 + 4.40942e6i 0.0708411 + 0.110231i
\(343\) −2.02978e7 1.75882e7i −0.502999 0.435851i
\(344\) 2.01224e7i 0.494316i
\(345\) −9.96788e6 1.33553e7i −0.242742 0.325235i
\(346\) 2.80023e7 0.676029
\(347\) −5.23332e7 + 6.03958e7i −1.25253 + 1.44550i −0.405383 + 0.914147i \(0.632862\pi\)
−0.847150 + 0.531353i \(0.821684\pi\)
\(348\) 1.56697e7 1.00703e7i 0.371812 0.238949i
\(349\) −3.32773e6 2.31449e7i −0.0782837 0.544475i −0.990789 0.135411i \(-0.956764\pi\)
0.912506 0.409064i \(-0.134145\pi\)
\(350\) 8.48936e6 3.87696e6i 0.198003 0.0904248i
\(351\) −1.43384e6 + 9.97259e6i −0.0331574 + 0.230615i
\(352\) −1.41127e7 4.80635e7i −0.323581 1.10202i
\(353\) −5.47643e7 3.51949e7i −1.24501 0.800121i −0.258852 0.965917i \(-0.583344\pi\)
−0.986160 + 0.165796i \(0.946981\pi\)
\(354\) 1.61646e7 3.53956e7i 0.364381 0.797883i
\(355\) −1.45570e6 + 4.95766e6i −0.0325377 + 0.110813i
\(356\) −1.26210e7 + 1.09361e7i −0.279732 + 0.242389i
\(357\) −2.59667e6 2.99672e6i −0.0570705 0.0658629i
\(358\) 4.86056e6 + 1.42719e6i 0.105934 + 0.0311051i
\(359\) 4.43930e7 + 2.02736e7i 0.959469 + 0.438175i 0.832680 0.553755i \(-0.186805\pi\)
0.126790 + 0.991930i \(0.459533\pi\)
\(360\) 3.81256e6 5.93246e6i 0.0817164 0.127153i
\(361\) −4.03870e7 + 1.18587e7i −0.858461 + 0.252067i
\(362\) −3.98554e7 5.73035e6i −0.840160 0.120797i
\(363\) −8.61883e6 1.88726e7i −0.180189 0.394559i
\(364\) 9.59634e6 1.37975e6i 0.198976 0.0286085i
\(365\) 2.36079e7 + 3.67345e7i 0.485487 + 0.755433i
\(366\) −1.71854e6 1.48912e6i −0.0350523 0.0303730i
\(367\) 6.16261e7i 1.24671i 0.781937 + 0.623357i \(0.214232\pi\)
−0.781937 + 0.623357i \(0.785768\pi\)
\(368\) 4.52915e6 6.20774e7i 0.0908810 1.24563i
\(369\) −4.18423e6 −0.0832792
\(370\) 5.24103e6 6.04848e6i 0.103469 0.119410i
\(371\) 2.54390e7 1.63486e7i 0.498171 0.320155i
\(372\) 1.63693e6 + 1.13851e7i 0.0317981 + 0.221161i
\(373\) 5.41095e7 2.47110e7i 1.04267 0.476171i 0.180916 0.983498i \(-0.442094\pi\)
0.861754 + 0.507327i \(0.169366\pi\)
\(374\) 5.07224e6 3.52782e7i 0.0969583 0.674359i
\(375\) 9.07976e6 + 3.09228e7i 0.172179 + 0.586388i
\(376\) −7.51750e6 4.83120e6i −0.141420 0.0908849i
\(377\) 4.41264e7 9.66234e7i 0.823521 1.80326i
\(378\) −1.26001e6 + 4.29121e6i −0.0233292 + 0.0794519i
\(379\) −2.18345e7 + 1.89197e7i −0.401076 + 0.347534i −0.831923 0.554891i \(-0.812760\pi\)
0.430847 + 0.902425i \(0.358215\pi\)
\(380\) 3.83173e6 + 4.42206e6i 0.0698304 + 0.0805886i
\(381\) −3.32685e7 9.76852e6i −0.601532 0.176626i
\(382\) 2.64261e6 + 1.20684e6i 0.0474070 + 0.0216501i
\(383\) 4.08128e7 6.35060e7i 0.726441 1.13036i −0.259898 0.965636i \(-0.583689\pi\)
0.986339 0.164729i \(-0.0526748\pi\)
\(384\) 3.47308e7 1.01979e7i 0.613368 0.180101i
\(385\) −1.86631e7 2.68335e6i −0.327040 0.0470213i
\(386\) −4.56652e7 9.99929e7i −0.794006 1.73863i
\(387\) 1.46542e7 2.10695e6i 0.252830 0.0363514i
\(388\) −4.17513e6 6.49662e6i −0.0714783 0.111222i
\(389\) 1.59812e7 + 1.38478e7i 0.271494 + 0.235251i 0.779957 0.625833i \(-0.215241\pi\)
−0.508463 + 0.861084i \(0.669786\pi\)
\(390\) 3.53055e7i 0.595181i
\(391\) 1.22066e7 2.22789e7i 0.204204 0.372703i
\(392\) 3.39550e7 0.563697
\(393\) −1.63109e7 + 1.88237e7i −0.268719 + 0.310119i
\(394\) −4.61724e7 + 2.96732e7i −0.754907 + 0.485149i
\(395\) 1.08512e7 + 7.54721e7i 0.176071 + 1.22460i
\(396\) −1.16489e7 + 5.31988e6i −0.187586 + 0.0856676i
\(397\) 1.29963e7 9.03910e7i 0.207705 1.44462i −0.572915 0.819614i \(-0.694188\pi\)
0.780620 0.625005i \(-0.214903\pi\)
\(398\) −1.22197e7 4.16165e7i −0.193826 0.660110i
\(399\) 3.55591e6 + 2.28524e6i 0.0559799 + 0.0359761i
\(400\) −1.67983e7 + 3.67832e7i −0.262474 + 0.574737i
\(401\) 713969. 2.43155e6i 0.0110725 0.0377095i −0.953771 0.300533i \(-0.902835\pi\)
0.964844 + 0.262823i \(0.0846537\pi\)
\(402\) 3.64072e7 3.15470e7i 0.560414 0.485601i
\(403\) 4.29547e7 + 4.95723e7i 0.656289 + 0.757398i
\(404\) −2.57119e7 7.54970e6i −0.389933 0.114495i
\(405\) −4.71952e6 2.15533e6i −0.0710449 0.0324451i
\(406\) 2.54925e7 3.96671e7i 0.380920 0.592724i
\(407\) 1.58843e7 4.66406e6i 0.235606 0.0691801i
\(408\) 1.06404e7 + 1.52985e6i 0.156666 + 0.0225252i
\(409\) 2.58150e7 + 5.65269e7i 0.377313 + 0.826201i 0.999075 + 0.0429944i \(0.0136898\pi\)
−0.621762 + 0.783206i \(0.713583\pi\)
\(410\) −1.45132e7 + 2.08669e6i −0.210578 + 0.0302765i
\(411\) 3.90625e7 + 6.07824e7i 0.562645 + 0.875493i
\(412\) 9.20250e6 + 7.97401e6i 0.131587 + 0.114021i
\(413\) 3.13799e7i 0.445453i
\(414\) −2.85828e7 + 2.00318e6i −0.402813 + 0.0282305i
\(415\) −6.37992e7 −0.892628
\(416\) −4.95345e7 + 5.71659e7i −0.688062 + 0.794066i
\(417\) −1.35512e6 + 870885.i −0.0186883 + 0.0120103i
\(418\) 5.40699e6 + 3.76064e7i 0.0740332 + 0.514913i
\(419\) −1.32467e7 + 6.04955e6i −0.180080 + 0.0822397i −0.503415 0.864045i \(-0.667923\pi\)
0.323335 + 0.946285i \(0.395196\pi\)
\(420\) −710526. + 4.94182e6i −0.00959030 + 0.0667020i
\(421\) −1.13368e7 3.86098e7i −0.151931 0.517429i 0.847990 0.530012i \(-0.177813\pi\)
−0.999921 + 0.0125833i \(0.995995\pi\)
\(422\) 5.45107e7 + 3.50319e7i 0.725345 + 0.466151i
\(423\) −2.73120e6 + 5.98048e6i −0.0360854 + 0.0790160i
\(424\) −2.30963e7 + 7.86587e7i −0.303001 + 1.03193i
\(425\) −1.24731e7 + 1.08080e7i −0.162482 + 0.140792i
\(426\) 5.81763e6 + 6.71390e6i 0.0752519 + 0.0868453i
\(427\) −1.75951e6 516640.i −0.0226000 0.00663597i
\(428\) −2.55044e7 1.16474e7i −0.325299 0.148559i
\(429\) −3.94831e7 + 6.14368e7i −0.500079 + 0.778139i
\(430\) 4.97780e7 1.46161e7i 0.626084 0.183835i
\(431\) −4.22386e7 6.07300e6i −0.527568 0.0758528i −0.126616 0.991952i \(-0.540411\pi\)
−0.400952 + 0.916099i \(0.631321\pi\)
\(432\) −8.04997e6 1.76270e7i −0.0998489 0.218638i
\(433\) −6.45818e7 + 9.28546e6i −0.795511 + 0.114377i −0.528074 0.849198i \(-0.677086\pi\)
−0.267437 + 0.963575i \(0.586177\pi\)
\(434\) 1.57419e7 + 2.44949e7i 0.192570 + 0.299644i
\(435\) 4.13405e7 + 3.58217e7i 0.502236 + 0.435190i
\(436\) 1.76424e7i 0.212862i
\(437\) −5.79419e6 + 2.64532e7i −0.0694302 + 0.316981i
\(438\) 7.50775e7 0.893485
\(439\) −8.53076e7 + 9.84502e7i −1.00831 + 1.16365i −0.0218310 + 0.999762i \(0.506950\pi\)
−0.986479 + 0.163890i \(0.947596\pi\)
\(440\) 4.30017e7 2.76355e7i 0.504809 0.324421i
\(441\) −3.55531e6 2.47278e7i −0.0414536 0.288316i
\(442\) −4.89553e7 + 2.23571e7i −0.566935 + 0.258910i
\(443\) −1.79956e7 + 1.25162e8i −0.206992 + 1.43966i 0.575908 + 0.817515i \(0.304649\pi\)
−0.782900 + 0.622148i \(0.786260\pi\)
\(444\) −1.23500e6 4.20603e6i −0.0141097 0.0480533i
\(445\) −4.12576e7 2.65147e7i −0.468192 0.300889i
\(446\) 6.65658e7 1.45759e8i 0.750321 1.64297i
\(447\) −1.25753e7 + 4.28274e7i −0.140797 + 0.479512i
\(448\) 4.76868e6 4.13208e6i 0.0530352 0.0459552i
\(449\) 6.34026e7 + 7.31705e7i 0.700435 + 0.808345i 0.988811 0.149172i \(-0.0476607\pi\)
−0.288376 + 0.957517i \(0.593115\pi\)
\(450\) 1.78611e7 + 5.24448e6i 0.196006 + 0.0575526i
\(451\) −2.75888e7 1.25994e7i −0.300748 0.137347i
\(452\) −4.41711e7 + 6.87315e7i −0.478324 + 0.744287i
\(453\) −1.63639e7 + 4.80489e6i −0.176033 + 0.0516879i
\(454\) −3.08049e6 442907.i −0.0329194 0.00473309i
\(455\) 1.18275e7 + 2.58987e7i 0.125562 + 0.274943i
\(456\) −1.13426e7 + 1.63082e6i −0.119624 + 0.0171993i
\(457\) −1.42499e7 2.21733e7i −0.149301 0.232318i 0.758545 0.651621i \(-0.225911\pi\)
−0.907846 + 0.419303i \(0.862274\pi\)
\(458\) 1.07667e8 + 9.32938e7i 1.12069 + 0.971083i
\(459\) 7.90904e6i 0.0817872i
\(460\) −3.12647e7 + 6.75438e6i −0.321204 + 0.0693924i
\(461\) −1.10666e8 −1.12956 −0.564782 0.825240i \(-0.691040\pi\)
−0.564782 + 0.825240i \(0.691040\pi\)
\(462\) −2.12294e7 + 2.45000e7i −0.215284 + 0.248451i
\(463\) 1.48647e7 9.55298e6i 0.149766 0.0962490i −0.463612 0.886039i \(-0.653447\pi\)
0.613378 + 0.789790i \(0.289810\pi\)
\(464\) 2.90755e7 + 2.02225e8i 0.291054 + 2.02433i
\(465\) −3.07261e7 + 1.40322e7i −0.305597 + 0.139561i
\(466\) 1.88200e7 1.30896e8i 0.185978 1.29350i
\(467\) −5.37019e7 1.82892e8i −0.527277 1.79574i −0.601952 0.798532i \(-0.705610\pi\)
0.0746754 0.997208i \(-0.476208\pi\)
\(468\) 1.62679e7 + 1.04548e7i 0.158706 + 0.101994i
\(469\) 1.61384e7 3.53382e7i 0.156438 0.342551i
\(470\) −6.49081e6 + 2.21057e7i −0.0625181 + 0.212917i
\(471\) −3.57032e7 + 3.09370e7i −0.341699 + 0.296084i
\(472\) 5.57099e7 + 6.42927e7i 0.529794 + 0.611414i
\(473\) 1.02967e8 + 3.02338e7i 0.973001 + 0.285699i
\(474\) 1.19250e8 + 5.44595e7i 1.11975 + 0.511374i
\(475\) 9.51174e6 1.48005e7i 0.0887522 0.138101i
\(476\) −7.30236e6 + 2.14417e6i −0.0677084 + 0.0198810i
\(477\) 5.97016e7 + 8.58379e6i 0.550086 + 0.0790904i
\(478\) −9.15027e6 2.00363e7i −0.0837819 0.183457i
\(479\) 9.70494e7 1.39536e7i 0.883052 0.126964i 0.314154 0.949372i \(-0.398279\pi\)
0.568898 + 0.822408i \(0.307370\pi\)
\(480\) −2.10595e7 3.27693e7i −0.190425 0.296308i
\(481\) −1.88925e7 1.63705e7i −0.169768 0.147104i
\(482\) 1.29908e8i 1.16010i
\(483\) −2.02960e7 + 1.10448e7i −0.180123 + 0.0980205i
\(484\) −3.98217e7 −0.351224
\(485\) 1.48516e7 1.71396e7i 0.130181 0.150237i
\(486\) −7.50448e6 + 4.82284e6i −0.0653751 + 0.0420140i
\(487\) 5.58802e6 + 3.88655e7i 0.0483806 + 0.336494i 0.999608 + 0.0280032i \(0.00891486\pi\)
−0.951227 + 0.308491i \(0.900176\pi\)
\(488\) 4.52219e6 2.06521e6i 0.0389125 0.0177707i
\(489\) 1.06702e7 7.42125e7i 0.0912523 0.634674i
\(490\) −2.46636e7 8.39965e7i −0.209637 0.713958i
\(491\) −4.17787e7 2.68496e7i −0.352948 0.226826i 0.352137 0.935948i \(-0.385455\pi\)
−0.705085 + 0.709122i \(0.749091\pi\)
\(492\) −3.33620e6 + 7.30525e6i −0.0280128 + 0.0613394i
\(493\) −2.34923e7 + 8.00075e7i −0.196058 + 0.667713i
\(494\) 4.33579e7 3.75698e7i 0.359656 0.311644i
\(495\) −2.46281e7 2.84224e7i −0.203056 0.234339i
\(496\) −1.21050e8 3.55434e7i −0.992017 0.291282i
\(497\) 6.51676e6 + 2.97610e6i 0.0530839 + 0.0242426i
\(498\) −5.93042e7 + 9.22792e7i −0.480173 + 0.747164i
\(499\) 1.70431e8 5.00430e7i 1.37166 0.402756i 0.488802 0.872395i \(-0.337434\pi\)
0.882859 + 0.469639i \(0.155616\pi\)
\(500\) 6.12277e7 + 8.80321e6i 0.489822 + 0.0704257i
\(501\) 4.69181e6 + 1.02736e7i 0.0373101 + 0.0816978i
\(502\) 1.84246e8 2.64906e7i 1.45642 0.209402i
\(503\) 7.55858e7 + 1.17614e8i 0.593931 + 0.924175i 0.999947 + 0.0103089i \(0.00328148\pi\)
−0.406016 + 0.913866i \(0.633082\pi\)
\(504\) −7.38953e6 6.40306e6i −0.0577198 0.0500145i
\(505\) 7.86965e7i 0.611056i
\(506\) −1.94492e8 7.28591e7i −1.50124 0.562383i
\(507\) 3.50349e7 0.268830
\(508\) −4.35807e7 + 5.02948e7i −0.332432 + 0.383647i
\(509\) −6.64985e7 + 4.27360e7i −0.504265 + 0.324071i −0.767920 0.640546i \(-0.778708\pi\)
0.263655 + 0.964617i \(0.415072\pi\)
\(510\) −3.94426e6 2.74329e7i −0.0297341 0.206805i
\(511\) 5.50737e7 2.51513e7i 0.412745 0.188494i
\(512\) 5.31558e6 3.69707e7i 0.0396042 0.275453i
\(513\) 2.37529e6 + 8.08950e6i 0.0175940 + 0.0599197i
\(514\) −2.11622e8 1.36001e8i −1.55838 1.00151i
\(515\) −1.48550e7 + 3.25279e7i −0.108755 + 0.238141i
\(516\) 8.00562e6 2.72646e7i 0.0582701 0.198450i
\(517\) −3.60163e7 + 3.12083e7i −0.260632 + 0.225839i
\(518\) −7.26688e6 8.38642e6i −0.0522828 0.0603375i
\(519\) 4.32176e7 + 1.26898e7i 0.309142 + 0.0907723i
\(520\) −7.02116e7 3.20646e7i −0.499343 0.228042i
\(521\) −2.40324e7 + 3.73951e7i −0.169935 + 0.264425i −0.915767 0.401710i \(-0.868416\pi\)
0.745832 + 0.666135i \(0.232052\pi\)
\(522\) 9.02404e7 2.64970e7i 0.634439 0.186288i
\(523\) 1.44397e8 + 2.07612e7i 1.00938 + 0.145126i 0.627114 0.778927i \(-0.284236\pi\)
0.382262 + 0.924054i \(0.375145\pi\)
\(524\) 1.98593e7 + 4.34858e7i 0.138029 + 0.302241i
\(525\) 1.48591e7 2.13641e6i 0.102686 0.0147641i
\(526\) −1.25770e7 1.95702e7i −0.0864213 0.134474i
\(527\) −3.89145e7 3.37196e7i −0.265876 0.230383i
\(528\) 1.40463e8i 0.954248i
\(529\) −1.11600e8 9.72627e7i −0.753872 0.657021i
\(530\) 2.11359e8 1.41969
\(531\) 4.09880e7 4.73027e7i 0.273762 0.315938i
\(532\) 6.82502e6 4.38618e6i 0.0453283 0.0291307i
\(533\) 6.51781e6 + 4.53323e7i 0.0430447 + 0.299383i
\(534\) −7.67017e7 + 3.50285e7i −0.503711 + 0.230037i
\(535\) 1.17182e7 8.15020e7i 0.0765244 0.532239i
\(536\) 2.96720e7 + 1.01054e8i 0.192687 + 0.656232i
\(537\) 6.85482e6 + 4.40533e6i 0.0442663 + 0.0284482i
\(538\) 1.21137e8 2.65253e8i 0.777912 1.70339i
\(539\) 5.10171e7 1.73748e8i 0.325799 1.10957i
\(540\) −7.52599e6 + 6.52131e6i −0.0477950 + 0.0414146i
\(541\) −1.88511e8 2.17554e8i −1.19055 1.37396i −0.910256 0.414047i \(-0.864115\pi\)
−0.280289 0.959916i \(-0.590430\pi\)
\(542\) −2.62737e8 7.71465e7i −1.65015 0.484528i
\(543\) −5.89144e7 2.69053e7i −0.367978 0.168050i
\(544\) 3.21026e7 4.99526e7i 0.199408 0.310285i
\(545\) −4.97122e7 + 1.45968e7i −0.307096 + 0.0901714i
\(546\) 4.84541e7 + 6.96665e6i 0.297682 + 0.0428002i
\(547\) 3.28184e7 + 7.18622e7i 0.200519 + 0.439075i 0.983002 0.183597i \(-0.0587743\pi\)
−0.782483 + 0.622672i \(0.786047\pi\)
\(548\) 1.37266e8 1.97358e7i 0.834104 0.119926i
\(549\) −1.97750e6 3.07704e6i −0.0119508 0.0185959i
\(550\) 1.01975e8 + 8.83619e7i 0.612923 + 0.531101i
\(551\) 8.88884e7i 0.531362i
\(552\) 2.19752e7 5.86614e7i 0.130652 0.348767i
\(553\) 1.05721e8 0.625151
\(554\) −4.26588e7 + 4.92309e7i −0.250888 + 0.289540i
\(555\) 1.08298e7 6.95988e6i 0.0633492 0.0407120i
\(556\) 440003. + 3.06029e6i 0.00255995 + 0.0178048i
\(557\) −1.84590e8 + 8.42993e7i −1.06817 + 0.487819i −0.870357 0.492421i \(-0.836112\pi\)
−0.197816 + 0.980239i \(0.563385\pi\)
\(558\) −8.26522e6 + 5.74859e7i −0.0475720 + 0.330871i
\(559\) −4.56538e7 1.55483e8i −0.261361 0.890115i
\(560\) −4.60680e7 2.96061e7i −0.262322 0.168584i
\(561\) 2.38153e7 5.21483e7i 0.134886 0.295360i
\(562\) −7.23720e7 + 2.46476e8i −0.407720 + 1.38857i
\(563\) −1.19736e8 + 1.03752e8i −0.670965 + 0.581395i −0.922286 0.386509i \(-0.873681\pi\)
0.251320 + 0.967904i \(0.419135\pi\)
\(564\) 8.26368e6 + 9.53679e6i 0.0460613 + 0.0531575i
\(565\) −2.30215e8 6.75972e7i −1.27640 0.374786i
\(566\) 7.57515e7 + 3.45946e7i 0.417775 + 0.190791i
\(567\) −3.88930e6 + 6.05187e6i −0.0213365 + 0.0332002i
\(568\) −1.86354e7 + 5.47186e6i −0.101694 + 0.0298600i
\(569\) 2.09264e8 + 3.00877e7i 1.13595 + 0.163325i 0.684528 0.728987i \(-0.260008\pi\)
0.451420 + 0.892311i \(0.350918\pi\)
\(570\) 1.22731e7 + 2.68743e7i 0.0662718 + 0.145115i
\(571\) −2.48380e8 + 3.57116e7i −1.33416 + 0.191823i −0.772220 0.635355i \(-0.780854\pi\)
−0.561939 + 0.827178i \(0.689945\pi\)
\(572\) 7.57817e7 + 1.17919e8i 0.404927 + 0.630078i
\(573\) 3.53159e6 + 3.06014e6i 0.0187718 + 0.0162659i
\(574\) 2.03300e7i 0.107498i
\(575\) 4.59712e7 + 8.44770e7i 0.241814 + 0.444360i
\(576\) 1.25857e7 0.0658580
\(577\) −2.43805e8 + 2.81366e8i −1.26916 + 1.46469i −0.447947 + 0.894060i \(0.647845\pi\)
−0.821211 + 0.570625i \(0.806701\pi\)
\(578\) −1.61247e8 + 1.03627e8i −0.835040 + 0.536648i
\(579\) −2.51639e7 1.75019e8i −0.129641 0.901674i
\(580\) 9.55029e7 4.36147e7i 0.489478 0.223537i
\(581\) −1.25891e7 + 8.75594e7i −0.0641900 + 0.446452i
\(582\) −1.09856e7 3.74134e7i −0.0557254 0.189783i
\(583\) 3.67796e8 + 2.36368e8i 1.85610 + 1.19284i
\(584\) −6.81856e7 + 1.49306e8i −0.342337 + 0.749614i
\(585\) −1.59994e7 + 5.44891e7i −0.0799166 + 0.272171i
\(586\) −1.98019e8 + 1.71585e8i −0.984045 + 0.852679i
\(587\) −1.50475e8 1.73658e8i −0.743962 0.858578i 0.250007 0.968244i \(-0.419567\pi\)
−0.993968 + 0.109667i \(0.965022\pi\)
\(588\) −4.60069e7 1.35089e7i −0.226303 0.0664487i
\(589\) 4.99293e7 + 2.28020e7i 0.244349 + 0.111590i
\(590\) 1.18579e8 1.84513e8i 0.577367 0.898401i
\(591\) −8.47075e7 + 2.48724e7i −0.410355 + 0.120491i
\(592\) 4.75915e7 + 6.84263e6i 0.229385 + 0.0329806i
\(593\) −6.59779e7 1.44472e8i −0.316399 0.692816i 0.682890 0.730521i \(-0.260723\pi\)
−0.999289 + 0.0377046i \(0.987995\pi\)
\(594\) −6.40032e7 + 9.20227e6i −0.305381 + 0.0439072i
\(595\) −1.20835e7 1.88023e7i −0.0573643 0.0892606i
\(596\) 6.47458e7 + 5.61026e7i 0.305825 + 0.264999i
\(597\) 6.97667e7i 0.327888i
\(598\) 6.62261e7 + 3.06548e8i 0.309689 + 1.43349i
\(599\) 7.44894e7 0.346588 0.173294 0.984870i \(-0.444559\pi\)
0.173294 + 0.984870i \(0.444559\pi\)
\(600\) −2.66511e7 + 3.07570e7i −0.123385 + 0.142393i
\(601\) 2.87485e8 1.84756e8i 1.32432 0.851088i 0.328686 0.944439i \(-0.393394\pi\)
0.995633 + 0.0933514i \(0.0297580\pi\)
\(602\) −1.02371e7 7.12006e7i −0.0469232 0.326358i
\(603\) 7.04855e7 3.21897e7i 0.321475 0.146813i
\(604\) −4.65854e6 + 3.24009e7i −0.0211417 + 0.147043i
\(605\) −3.29473e7 1.12208e8i −0.148783 0.506709i
\(606\) −1.13827e8 7.31520e7i −0.511477 0.328706i
\(607\) 9.50577e6 2.08147e7i 0.0425032 0.0930689i −0.887189 0.461406i \(-0.847345\pi\)
0.929692 + 0.368337i \(0.120073\pi\)
\(608\) −1.78330e7 + 6.07336e7i −0.0793439 + 0.270220i
\(609\) 5.73200e7 4.96681e7i 0.253778 0.219900i
\(610\) −8.39358e6 9.68671e6i −0.0369792 0.0426763i
\(611\) 6.90475e7 + 2.02742e7i 0.302708 + 0.0888832i
\(612\) −1.38084e7 6.30608e6i −0.0602405 0.0275109i
\(613\) 1.31805e8 2.05093e8i 0.572205 0.890368i −0.427704 0.903919i \(-0.640677\pi\)
0.999908 + 0.0135513i \(0.00431363\pi\)
\(614\) −1.09552e8 + 3.21673e7i −0.473275 + 0.138966i
\(615\) −2.33447e7 3.35647e6i −0.100361 0.0144297i
\(616\) −2.94423e7 6.44696e7i −0.125959 0.275812i
\(617\) 2.65119e8 3.81183e7i 1.12872 0.162285i 0.447442 0.894313i \(-0.352335\pi\)
0.681274 + 0.732028i \(0.261426\pi\)
\(618\) 3.32400e7 + 5.17225e7i 0.140830 + 0.219136i
\(619\) 2.72501e8 + 2.36124e8i 1.14894 + 0.995561i 0.999977 + 0.00671739i \(0.00213823\pi\)
0.148961 + 0.988843i \(0.452407\pi\)
\(620\) 6.48330e7i 0.272033i
\(621\) −4.50212e7 9.86125e6i −0.187993 0.0411772i
\(622\) 3.63475e8 1.51044
\(623\) −4.45304e7 + 5.13909e7i −0.184159 + 0.212531i
\(624\) −1.78433e8 + 1.14672e8i −0.734380 + 0.471957i
\(625\) 8.27533e6 + 5.75562e7i 0.0338958 + 0.235750i
\(626\) −1.27300e8 + 5.81358e7i −0.518924 + 0.236985i
\(627\) −8.69722e6 + 6.04905e7i −0.0352840 + 0.245406i
\(628\) 2.55458e7 + 8.70010e7i 0.103143 + 0.351273i
\(629\) 1.65086e7 + 1.06095e7i 0.0663375 + 0.0426326i
\(630\) −1.04722e7 + 2.29308e7i −0.0418808 + 0.0917061i
\(631\) −7.20782e7 + 2.45476e8i −0.286890 + 0.977059i 0.682367 + 0.731010i \(0.260951\pi\)
−0.969257 + 0.246049i \(0.920868\pi\)
\(632\) −2.16606e8 + 1.87690e8i −0.858062 + 0.743515i
\(633\) 6.82541e7 + 7.87695e7i 0.269103 + 0.310561i
\(634\) −2.96311e8 8.70049e7i −1.16273 0.341410i
\(635\) −1.77776e8 8.11877e7i −0.694309 0.317080i
\(636\) 6.25880e7 9.73889e7i 0.243288 0.378563i
\(637\) −2.62365e8 + 7.70372e7i −1.01505 + 0.298045i
\(638\) 6.74787e8 + 9.70198e7i 2.59839 + 0.373592i
\(639\) 5.93614e6 + 1.29983e7i 0.0227511 + 0.0498179i
\(640\) 2.01951e8 2.90362e7i 0.770383 0.110764i
\(641\) −7.57453e7 1.17862e8i −0.287595 0.447507i 0.667154 0.744920i \(-0.267512\pi\)
−0.954749 + 0.297413i \(0.903876\pi\)
\(642\) −1.06992e8 9.27090e7i −0.404339 0.350362i
\(643\) 2.63018e8i 0.989357i −0.869076 0.494679i \(-0.835286\pi\)
0.869076 0.494679i \(-0.164714\pi\)
\(644\) 3.10057e6 + 4.42412e7i 0.0116087 + 0.165641i
\(645\) 8.34489e7 0.310987
\(646\) −2.94925e7 + 3.40362e7i −0.109399 + 0.126253i
\(647\) −1.07603e8 + 6.91520e7i −0.397292 + 0.255324i −0.723998 0.689802i \(-0.757698\pi\)
0.326706 + 0.945126i \(0.394061\pi\)
\(648\) −2.77552e6 1.93042e7i −0.0102005 0.0709458i
\(649\) 4.12690e8 1.88469e8i 1.50970 0.689456i
\(650\) 2.89969e7 2.01678e8i 0.105587 0.734374i
\(651\) 1.31950e7 + 4.49381e7i 0.0478263 + 0.162882i
\(652\) −1.21060e8 7.78006e7i −0.436775 0.280699i
\(653\) 2.20421e8 4.82656e8i 0.791615 1.73340i 0.119646 0.992817i \(-0.461824\pi\)
0.671969 0.740579i \(-0.265449\pi\)
\(654\) −2.50969e7 + 8.54722e7i −0.0897195 + 0.305557i
\(655\) −1.06102e8 + 9.19376e7i −0.377571 + 0.327167i
\(656\) −5.76848e7 6.65718e7i −0.204338 0.235819i
\(657\) 1.15871e8 + 3.40229e7i 0.408583 + 0.119971i
\(658\) 2.90575e7 + 1.32701e7i 0.101996 + 0.0465798i
\(659\) −2.37506e8 + 3.69567e8i −0.829888 + 1.29133i 0.124337 + 0.992240i \(0.460320\pi\)
−0.954225 + 0.299090i \(0.903317\pi\)
\(660\) −6.92593e7 + 2.03364e7i −0.240905 + 0.0707362i
\(661\) 1.39729e8 + 2.00900e7i 0.483818 + 0.0695625i 0.379908 0.925024i \(-0.375956\pi\)
0.103910 + 0.994587i \(0.466865\pi\)
\(662\) −1.57576e8 3.45044e8i −0.543147 1.18933i
\(663\) −8.56872e7 + 1.23200e7i −0.294019 + 0.0422735i
\(664\) −1.29654e8 2.01746e8i −0.442876 0.689129i
\(665\) 1.80060e7 + 1.56023e7i 0.0612284 + 0.0530547i
\(666\) 2.21337e7i 0.0749259i
\(667\) 4.26142e8 + 2.33483e8i 1.43607 + 0.786825i
\(668\) 2.16776e7 0.0727248
\(669\) 1.68789e8 1.94792e8i 0.563722 0.650569i
\(670\) 2.28430e8 1.46803e8i 0.759500 0.488101i
\(671\) −3.77318e6 2.62431e7i −0.0124894 0.0868654i
\(672\) −4.91288e7 + 2.24364e7i −0.161893 + 0.0739341i
\(673\) −8.04689e7 + 5.59673e8i −0.263987 + 1.83607i 0.238085 + 0.971244i \(0.423480\pi\)
−0.502072 + 0.864826i \(0.667429\pi\)
\(674\) −1.61700e8 5.50700e8i −0.528117 1.79860i
\(675\) 2.51894e7 + 1.61882e7i 0.0819041 + 0.0526366i
\(676\) 2.79343e7 6.11675e7i 0.0904268 0.198007i
\(677\) −6.06142e7 + 2.06433e8i −0.195348 + 0.665293i 0.802311 + 0.596906i \(0.203603\pi\)
−0.997659 + 0.0683869i \(0.978215\pi\)
\(678\) −3.11768e8 + 2.70149e8i −1.00033 + 0.866789i
\(679\) −2.05922e7 2.37647e7i −0.0657800 0.0759142i
\(680\) 5.81377e7 + 1.70708e7i 0.184897 + 0.0542908i
\(681\) −4.55358e6 2.07955e6i −0.0144182 0.00658458i
\(682\) −2.27596e8 + 3.54146e8i −0.717481 + 1.11642i
\(683\) 4.02450e8 1.18170e8i 1.26314 0.370890i 0.419475 0.907767i \(-0.362214\pi\)
0.843661 + 0.536877i \(0.180396\pi\)
\(684\) 1.60173e7 + 2.30294e6i 0.0500520 + 0.00719640i
\(685\) 1.69180e8 + 3.70453e8i 0.526354 + 1.15255i
\(686\) −2.57636e8 + 3.70425e7i −0.798058 + 0.114743i
\(687\) 1.23890e8 + 1.92777e8i 0.382092 + 0.594546i
\(688\) 2.35548e8 + 2.04103e8i 0.723292 + 0.626736i
\(689\) 6.60183e8i 2.01840i
\(690\) −1.61076e8 1.17521e7i −0.490325 0.0357740i
\(691\) 5.67214e8 1.71915 0.859573 0.511013i \(-0.170729\pi\)
0.859573 + 0.511013i \(0.170729\pi\)
\(692\) 5.66136e7 6.53356e7i 0.170845 0.197166i
\(693\) −4.38673e7 + 2.81918e7i −0.131808 + 0.0847077i
\(694\) 1.10219e8 + 7.66591e8i 0.329745 + 2.29343i
\(695\) −8.25912e6 + 3.77182e6i −0.0246025 + 0.0112356i
\(696\) −2.92624e7 + 2.03525e8i −0.0867925 + 0.603655i
\(697\) −1.01289e7 3.44957e7i −0.0299132 0.101875i
\(698\) −1.90635e8 1.22514e8i −0.560579 0.360262i
\(699\) 8.83640e7 1.93490e8i 0.258728 0.566536i
\(700\) 8.11755e6 2.76458e7i 0.0236663 0.0806001i
\(701\) −3.71993e8 + 3.22334e8i −1.07989 + 0.935733i −0.998143 0.0609196i \(-0.980597\pi\)
−0.0817510 + 0.996653i \(0.526051\pi\)
\(702\) 6.39409e7 + 7.37917e7i 0.184828 + 0.213303i
\(703\) −2.00716e7 5.89356e6i −0.0577719 0.0169633i
\(704\) 8.29836e7 + 3.78973e7i 0.237834 + 0.108615i
\(705\) −2.00353e7 + 3.11755e7i −0.0571779 + 0.0889706i
\(706\) −6.05328e8 + 1.77740e8i −1.72019 + 0.505094i
\(707\) −1.08005e8 1.55287e7i −0.305622 0.0439418i
\(708\) −4.99050e7 1.09277e8i −0.140619 0.307913i
\(709\) −2.57988e8 + 3.70931e7i −0.723870 + 0.104077i −0.494395 0.869238i \(-0.664610\pi\)
−0.229476 + 0.973314i \(0.573701\pi\)
\(710\) 2.70721e7 + 4.21250e7i 0.0756392 + 0.117697i
\(711\) 1.59365e8 + 1.38091e8i 0.443389 + 0.384199i
\(712\) 1.84349e8i 0.510740i
\(713\) −2.40465e8 + 1.79473e8i −0.663411 + 0.495144i
\(714\) −3.84278e7 −0.105573
\(715\) −2.69567e8 + 3.11097e8i −0.737478 + 0.851095i
\(716\) 1.31568e7 8.45535e6i 0.0358435 0.0230352i
\(717\) −5.04228e6 3.50698e7i −0.0136795 0.0951428i
\(718\) 4.30222e8 1.96476e8i 1.16230 0.530806i
\(719\) 9.55636e7 6.64659e8i 0.257102 1.78818i −0.296120 0.955151i \(-0.595693\pi\)
0.553222 0.833034i \(-0.313398\pi\)
\(720\) −3.07727e7 1.04802e8i −0.0824457 0.280784i
\(721\) 4.17108e7 + 2.68059e7i 0.111287 + 0.0715195i
\(722\) −1.69457e8 + 3.71060e8i −0.450245 + 0.985899i
\(723\) 5.88707e7 2.00495e8i 0.155770 0.530504i
\(724\) −9.39479e7 + 8.14063e7i −0.247555 + 0.214507i
\(725\) −2.06730e8 2.38580e8i −0.542488 0.626065i
\(726\) −1.92924e8 5.66476e7i −0.504169 0.148037i
\(727\) −5.20709e8 2.37800e8i −1.35516 0.618882i −0.400425 0.916330i \(-0.631137\pi\)
−0.954738 + 0.297448i \(0.903865\pi\)
\(728\) −5.78606e7 + 9.00329e7i −0.149965 + 0.233350i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) 4.18873e8 + 6.02249e7i 1.07675 + 0.154813i
\(731\) 5.28438e7 + 1.15712e8i 0.135283 + 0.296228i
\(732\) −6.94892e6 + 999104.i −0.0177168 + 0.00254728i
\(733\) −2.89650e8 4.50704e8i −0.735464 1.14440i −0.984410 0.175887i \(-0.943721\pi\)
0.248946 0.968517i \(-0.419916\pi\)
\(734\) 4.51358e8 + 3.91104e8i 1.14139 + 0.989018i
\(735\) 1.40813e8i 0.354635i
\(736\) −2.44322e8 2.45023e8i −0.612816 0.614572i
\(737\) 5.61675e8 1.40308
\(738\) −2.65548e7 + 3.06459e7i −0.0660654 + 0.0762435i
\(739\) −1.00847e8 + 6.48101e7i −0.249878 + 0.160587i −0.659584 0.751631i \(-0.729268\pi\)
0.409706 + 0.912217i \(0.365631\pi\)
\(740\) −3.51639e6 2.44570e7i −0.00867764 0.0603543i
\(741\) 8.39423e7 3.83352e7i 0.206313 0.0942199i
\(742\) 4.17063e7 2.90074e8i 0.102092 0.710062i
\(743\) 1.66958e8 + 5.68606e8i 0.407043 + 1.38626i 0.866995 + 0.498317i \(0.166048\pi\)
−0.459952 + 0.887944i \(0.652133\pi\)
\(744\) −1.06815e8 6.86458e7i −0.259366 0.166684i
\(745\) −1.04515e8 + 2.28856e8i −0.252761 + 0.553469i
\(746\) 1.62414e8 5.53131e8i 0.391207 1.33233i
\(747\) −1.33346e8 + 1.15545e8i −0.319903 + 0.277197i
\(748\) −7.20571e7 8.31583e7i −0.172176 0.198701i
\(749\) −1.09543e8 3.21647e7i −0.260698 0.0765480i
\(750\) 2.84107e8 + 1.29747e8i 0.673438 + 0.307549i
\(751\) −1.72085e8 + 2.67770e8i −0.406279 + 0.632182i −0.982751 0.184935i \(-0.940793\pi\)
0.576472 + 0.817117i \(0.304429\pi\)
\(752\) −1.32803e8 + 3.89946e7i −0.312288 + 0.0916960i
\(753\) 2.96362e8 + 4.26105e7i 0.694125 + 0.0998002i
\(754\) −4.27639e8 9.36398e8i −0.997615 2.18447i
\(755\) −9.51523e7 + 1.36808e7i −0.221095 + 0.0317886i
\(756\) 7.46492e6 + 1.16156e7i 0.0172767 + 0.0268830i
\(757\) 7.71696e7 + 6.68678e7i 0.177893 + 0.154145i 0.739256 0.673425i \(-0.235177\pi\)
−0.561363 + 0.827570i \(0.689723\pi\)
\(758\) 2.79991e8i 0.642890i
\(759\) −2.67154e8 2.00586e8i −0.610993 0.458749i
\(760\) −6.45910e7 −0.147140
\(761\) −4.11853e7 + 4.75304e7i −0.0934519 + 0.107849i −0.800549 0.599267i \(-0.795459\pi\)
0.707097 + 0.707116i \(0.250004\pi\)
\(762\) −2.82681e8 + 1.81668e8i −0.638899 + 0.410595i
\(763\) 1.02236e7 + 7.11065e7i 0.0230159 + 0.160079i
\(764\) 8.15852e6 3.72587e6i 0.0182949 0.00835502i