Properties

Label 69.7.f.a.7.4
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 7.4
Character \(\chi\) \(=\) 69.7
Dual form 69.7.f.a.10.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-7.46772 + 8.61821i) q^{2} +(13.1138 - 8.42776i) q^{3} +(-9.39853 - 65.3682i) q^{4} +(-12.8791 + 5.88169i) q^{5} +(-25.2984 + 175.954i) q^{6} +(-31.2375 - 106.385i) q^{7} +(19.5745 + 12.5798i) q^{8} +(100.946 - 221.041i) q^{9} +O(q^{10})\) \(q+(-7.46772 + 8.61821i) q^{2} +(13.1138 - 8.42776i) q^{3} +(-9.39853 - 65.3682i) q^{4} +(-12.8791 + 5.88169i) q^{5} +(-25.2984 + 175.954i) q^{6} +(-31.2375 - 106.385i) q^{7} +(19.5745 + 12.5798i) q^{8} +(100.946 - 221.041i) q^{9} +(45.4879 - 154.918i) q^{10} +(-461.542 + 399.929i) q^{11} +(-674.159 - 778.020i) q^{12} +(2957.55 + 868.415i) q^{13} +(1150.12 + 525.244i) q^{14} +(-119.325 + 185.673i) q^{15} +(3800.79 - 1116.01i) q^{16} +(2161.66 + 310.800i) q^{17} +(1151.14 + 2520.64i) q^{18} +(5272.30 - 758.042i) q^{19} +(505.520 + 786.605i) q^{20} +(-1306.23 - 1131.86i) q^{21} -6964.22i q^{22} +(67.1155 + 12166.8i) q^{23} +362.716 q^{24} +(-10100.9 + 11657.1i) q^{25} +(-29570.3 + 19003.7i) q^{26} +(-539.088 - 3749.44i) q^{27} +(-6660.63 + 3041.81i) q^{28} +(-3011.39 + 20944.7i) q^{29} +(-709.086 - 2414.93i) q^{30} +(-6359.73 - 4087.15i) q^{31} +(-19383.8 + 42444.7i) q^{32} +(-2682.09 + 9134.37i) q^{33} +(-18821.2 + 16308.7i) q^{34} +(1028.04 + 1186.42i) q^{35} +(-15397.8 - 4521.20i) q^{36} +(35425.2 + 16178.1i) q^{37} +(-32839.1 + 51098.6i) q^{38} +(46103.6 - 13537.3i) q^{39} +(-326.092 - 46.8849i) q^{40} +(31619.2 + 69236.4i) q^{41} +(19509.2 - 2804.99i) q^{42} +(-13458.6 - 20942.0i) q^{43} +(30480.5 + 26411.5i) q^{44} +3440.54i q^{45} +(-105357. - 90280.0i) q^{46} +1739.04 q^{47} +(40437.5 - 46667.3i) q^{48} +(88630.6 - 56959.4i) q^{49} +(-25032.3 - 174104. i) q^{50} +(30967.0 - 14142.2i) q^{51} +(28970.1 - 201492. i) q^{52} +(39809.1 + 135577. i) q^{53} +(36339.2 + 23353.8i) q^{54} +(3591.99 - 7865.37i) q^{55} +(726.842 - 2475.40i) q^{56} +(62751.5 - 54374.5i) q^{57} +(-158018. - 182362. i) q^{58} +(165492. + 48592.8i) q^{59} +(13258.6 + 6055.01i) q^{60} +(101195. - 157462. i) q^{61} +(82716.7 - 24287.8i) q^{62} +(-26668.7 - 3834.39i) q^{63} +(-115728. - 253409. i) q^{64} +(-43198.3 + 6210.98i) q^{65} +(-58692.8 - 91327.8i) q^{66} +(216026. + 187188. i) q^{67} -144225. i q^{68} +(103419. + 158988. i) q^{69} -17901.9 q^{70} +(-5491.31 + 6337.31i) q^{71} +(4756.60 - 3056.88i) q^{72} +(-28035.2 - 194989. i) q^{73} +(-403972. + 184488. i) q^{74} +(-34218.8 + 237997. i) q^{75} +(-99103.7 - 337516. i) q^{76} +(56963.9 + 36608.5i) q^{77} +(-227622. + 498423. i) q^{78} +(-98907.7 + 336849. i) q^{79} +(-42386.7 + 36728.3i) q^{80} +(-38668.9 - 44626.3i) q^{81} +(-832817. - 244537. i) q^{82} +(-7126.42 - 3254.52i) q^{83} +(-61710.8 + 96023.9i) q^{84} +(-29668.3 + 8711.38i) q^{85} +(280988. + 40399.9i) q^{86} +(137026. + 300045. i) q^{87} +(-14065.5 + 2022.31i) q^{88} +(-310307. - 482847. i) q^{89} +(-29651.3 - 25693.0i) q^{90} -341767. i q^{91} +(794693. - 118737. i) q^{92} -117846. q^{93} +(-12986.6 + 14987.4i) q^{94} +(-63443.9 + 40772.9i) q^{95} +(103517. + 719975. i) q^{96} +(243687. - 111288. i) q^{97} +(-170980. + 1.18919e6i) q^{98} +(41809.7 + 142391. 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −7.46772 + 8.61821i −0.933465 + 1.07728i 0.0633865 + 0.997989i \(0.479810\pi\)
−0.996852 + 0.0792873i \(0.974736\pi\)
\(3\) 13.1138 8.42776i 0.485698 0.312139i
\(4\) −9.39853 65.3682i −0.146852 1.02138i
\(5\) −12.8791 + 5.88169i −0.103033 + 0.0470535i −0.466265 0.884645i \(-0.654401\pi\)
0.363232 + 0.931699i \(0.381673\pi\)
\(6\) −25.2984 + 175.954i −0.117122 + 0.814602i
\(7\) −31.2375 106.385i −0.0910715 0.310161i 0.901342 0.433109i \(-0.142583\pi\)
−0.992413 + 0.122948i \(0.960765\pi\)
\(8\) 19.5745 + 12.5798i 0.0382314 + 0.0245698i
\(9\) 100.946 221.041i 0.138472 0.303211i
\(10\) 45.4879 154.918i 0.0454879 0.154918i
\(11\) −461.542 + 399.929i −0.346764 + 0.300472i −0.810776 0.585356i \(-0.800955\pi\)
0.464013 + 0.885829i \(0.346409\pi\)
\(12\) −674.159 778.020i −0.390138 0.450243i
\(13\) 2957.55 + 868.415i 1.34618 + 0.395273i 0.873869 0.486161i \(-0.161603\pi\)
0.472307 + 0.881434i \(0.343421\pi\)
\(14\) 1150.12 + 525.244i 0.419141 + 0.191415i
\(15\) −119.325 + 185.673i −0.0353556 + 0.0550144i
\(16\) 3800.79 1116.01i 0.927927 0.272464i
\(17\) 2161.66 + 310.800i 0.439988 + 0.0632607i 0.358749 0.933434i \(-0.383203\pi\)
0.0812385 + 0.996695i \(0.474112\pi\)
\(18\) 1151.14 + 2520.64i 0.197383 + 0.432209i
\(19\) 5272.30 758.042i 0.768669 0.110518i 0.253186 0.967418i \(-0.418522\pi\)
0.515483 + 0.856900i \(0.327613\pi\)
\(20\) 505.520 + 786.605i 0.0631900 + 0.0983256i
\(21\) −1306.23 1131.86i −0.141047 0.122218i
\(22\) 6964.22i 0.654041i
\(23\) 67.1155 + 12166.8i 0.00551619 + 0.999985i
\(24\) 362.716 0.0262381
\(25\) −10100.9 + 11657.1i −0.646459 + 0.746053i
\(26\) −29570.3 + 19003.7i −1.68243 + 1.08123i
\(27\) −539.088 3749.44i −0.0273885 0.190491i
\(28\) −6660.63 + 3041.81i −0.303418 + 0.138566i
\(29\) −3011.39 + 20944.7i −0.123473 + 0.858776i 0.830100 + 0.557615i \(0.188283\pi\)
−0.953573 + 0.301161i \(0.902626\pi\)
\(30\) −709.086 2414.93i −0.0262625 0.0894417i
\(31\) −6359.73 4087.15i −0.213478 0.137194i 0.429532 0.903052i \(-0.358678\pi\)
−0.643010 + 0.765857i \(0.722315\pi\)
\(32\) −19383.8 + 42444.7i −0.591548 + 1.29531i
\(33\) −2682.09 + 9134.37i −0.0746332 + 0.254177i
\(34\) −18821.2 + 16308.7i −0.478862 + 0.414937i
\(35\) 1028.04 + 1186.42i 0.0239775 + 0.0276715i
\(36\) −15397.8 4521.20i −0.330028 0.0969049i
\(37\) 35425.2 + 16178.1i 0.699370 + 0.319391i 0.733178 0.680037i \(-0.238036\pi\)
−0.0338082 + 0.999428i \(0.510764\pi\)
\(38\) −32839.1 + 51098.6i −0.598467 + 0.931233i
\(39\) 46103.6 13537.3i 0.777215 0.228211i
\(40\) −326.092 46.8849i −0.00509519 0.000732577i
\(41\) 31619.2 + 69236.4i 0.458775 + 1.00458i 0.987765 + 0.155949i \(0.0498434\pi\)
−0.528990 + 0.848628i \(0.677429\pi\)
\(42\) 19509.2 2804.99i 0.263324 0.0378603i
\(43\) −13458.6 20942.0i −0.169276 0.263398i 0.746243 0.665674i \(-0.231856\pi\)
−0.915519 + 0.402276i \(0.868219\pi\)
\(44\) 30480.5 + 26411.5i 0.357819 + 0.310052i
\(45\) 3440.54i 0.0377562i
\(46\) −105357. 90280.0i −1.08241 0.927509i
\(47\) 1739.04 0.0167500 0.00837501 0.999965i \(-0.497334\pi\)
0.00837501 + 0.999965i \(0.497334\pi\)
\(48\) 40437.5 46667.3i 0.365646 0.421978i
\(49\) 88630.6 56959.4i 0.753348 0.484147i
\(50\) −25032.3 174104.i −0.200259 1.39283i
\(51\) 30967.0 14142.2i 0.233447 0.106612i
\(52\) 28970.1 201492.i 0.206035 1.43300i
\(53\) 39809.1 + 135577.i 0.267396 + 0.910668i 0.978268 + 0.207346i \(0.0664825\pi\)
−0.710872 + 0.703322i \(0.751699\pi\)
\(54\) 36339.2 + 23353.8i 0.230778 + 0.148312i
\(55\) 3591.99 7865.37i 0.0215897 0.0472749i
\(56\) 726.842 2475.40i 0.00413881 0.0140955i
\(57\) 62751.5 54374.5i 0.338844 0.293610i
\(58\) −158018. 182362.i −0.809881 0.934653i
\(59\) 165492. + 48592.8i 0.805788 + 0.236601i 0.658586 0.752506i \(-0.271155\pi\)
0.147202 + 0.989106i \(0.452973\pi\)
\(60\) 13258.6 + 6055.01i 0.0613825 + 0.0280325i
\(61\) 101195. 157462.i 0.445829 0.693724i −0.543502 0.839408i \(-0.682902\pi\)
0.989331 + 0.145684i \(0.0465383\pi\)
\(62\) 82716.7 24287.8i 0.347071 0.101909i
\(63\) −26668.7 3834.39i −0.106655 0.0153347i
\(64\) −115728. 253409.i −0.441468 0.966680i
\(65\) −43198.3 + 6210.98i −0.157299 + 0.0226162i
\(66\) −58692.8 91327.8i −0.204152 0.317666i
\(67\) 216026. + 187188.i 0.718261 + 0.622377i 0.935329 0.353780i \(-0.115104\pi\)
−0.217067 + 0.976157i \(0.569649\pi\)
\(68\) 144225.i 0.458684i
\(69\) 103419. + 158988.i 0.314814 + 0.483969i
\(70\) −17901.9 −0.0521920
\(71\) −5491.31 + 6337.31i −0.0153427 + 0.0177064i −0.763369 0.645963i \(-0.776456\pi\)
0.748026 + 0.663669i \(0.231002\pi\)
\(72\) 4756.60 3056.88i 0.0127438 0.00818995i
\(73\) −28035.2 194989.i −0.0720667 0.501235i −0.993602 0.112940i \(-0.963973\pi\)
0.921535 0.388295i \(-0.126936\pi\)
\(74\) −403972. + 184488.i −0.996910 + 0.455274i
\(75\) −34218.8 + 237997.i −0.0811113 + 0.564142i
\(76\) −99103.7 337516.i −0.225761 0.768872i
\(77\) 56963.9 + 36608.5i 0.124775 + 0.0801880i
\(78\) −227622. + 498423.i −0.479657 + 1.05030i
\(79\) −98907.7 + 336849.i −0.200608 + 0.683209i 0.796319 + 0.604877i \(0.206778\pi\)
−0.996927 + 0.0783321i \(0.975041\pi\)
\(80\) −42386.7 + 36728.3i −0.0827866 + 0.0717350i
\(81\) −38668.9 44626.3i −0.0727623 0.0839722i
\(82\) −832817. 244537.i −1.51046 0.443510i
\(83\) −7126.42 3254.52i −0.0124634 0.00569185i 0.409174 0.912457i \(-0.365817\pi\)
−0.421637 + 0.906765i \(0.638544\pi\)
\(84\) −61710.8 + 96023.9i −0.104117 + 0.162010i
\(85\) −29668.3 + 8711.38i −0.0483098 + 0.0141850i
\(86\) 280988. + 40399.9i 0.441766 + 0.0635163i
\(87\) 137026. + 300045.i 0.208087 + 0.455647i
\(88\) −14065.5 + 2022.31i −0.0206398 + 0.00296756i
\(89\) −310307. 482847.i −0.440171 0.684919i 0.548308 0.836276i \(-0.315272\pi\)
−0.988479 + 0.151357i \(0.951636\pi\)
\(90\) −29651.3 25693.0i −0.0406739 0.0352441i
\(91\) 341767.i 0.453530i
\(92\) 794693. 118737.i 1.02055 0.152484i
\(93\) −117846. −0.146510
\(94\) −12986.6 + 14987.4i −0.0156356 + 0.0180444i
\(95\) −63443.9 + 40772.9i −0.0739978 + 0.0475555i
\(96\) 103517. + 719975.i 0.117003 + 0.813774i
\(97\) 243687. 111288.i 0.267004 0.121937i −0.277415 0.960750i \(-0.589478\pi\)
0.544419 + 0.838814i \(0.316750\pi\)
\(98\) −170980. + 1.18919e6i −0.181664 + 1.26350i
\(99\) 41809.7 + 142391.i 0.0430895 + 0.146749i
\(100\) 856937. + 550720.i 0.856937 + 0.550720i
\(101\) 460942. 1.00932e6i 0.447385 0.979637i −0.542798 0.839863i \(-0.682635\pi\)
0.990183 0.139774i \(-0.0446376\pi\)
\(102\) −109373. + 372490.i −0.103065 + 0.351006i
\(103\) −503274. + 436090.i −0.460567 + 0.399084i −0.854003 0.520268i \(-0.825832\pi\)
0.393436 + 0.919352i \(0.371286\pi\)
\(104\) 46968.1 + 54204.0i 0.0417544 + 0.0481872i
\(105\) 23480.3 + 6894.45i 0.0202832 + 0.00595568i
\(106\) −1.46572e6 669371.i −1.23065 0.562017i
\(107\) 662761. 1.03128e6i 0.541010 0.841829i −0.457876 0.889016i \(-0.651390\pi\)
0.998886 + 0.0471876i \(0.0150259\pi\)
\(108\) −240028. + 70478.5i −0.190542 + 0.0559481i
\(109\) 1.60956e6 + 231420.i 1.24288 + 0.178699i 0.732209 0.681080i \(-0.238490\pi\)
0.510667 + 0.859779i \(0.329399\pi\)
\(110\) 40961.4 + 89692.9i 0.0307749 + 0.0673876i
\(111\) 600906. 86397.2i 0.439377 0.0631729i
\(112\) −237454. 369486.i −0.169015 0.262993i
\(113\) 817546. + 708408.i 0.566601 + 0.490962i 0.890410 0.455160i \(-0.150418\pi\)
−0.323809 + 0.946123i \(0.604963\pi\)
\(114\) 946859.i 0.639103i
\(115\) −72425.8 156303.i −0.0476211 0.102772i
\(116\) 1.39742e6 0.895268
\(117\) 490507. 566076.i 0.306258 0.353441i
\(118\) −1.65463e6 + 1.06337e6i −1.00706 + 0.647198i
\(119\) −34460.4 239677.i −0.0204493 0.142228i
\(120\) −4671.45 + 2133.38i −0.00270339 + 0.00123460i
\(121\) −199041. + 1.38436e6i −0.112354 + 0.781436i
\(122\) 601348. + 2.04800e6i 0.331166 + 1.12785i
\(123\) 998157. + 641477.i 0.536394 + 0.344719i
\(124\) −207398. + 454138.i −0.108778 + 0.238190i
\(125\) 123855. 421810.i 0.0634135 0.215967i
\(126\) 232200. 201203.i 0.116078 0.100582i
\(127\) −1.26096e6 1.45522e6i −0.615586 0.710424i 0.359276 0.933231i \(-0.383024\pi\)
−0.974863 + 0.222807i \(0.928478\pi\)
\(128\) 182799. + 53674.7i 0.0871655 + 0.0255941i
\(129\) −352988. 161204.i −0.164434 0.0750944i
\(130\) 269066. 418674.i 0.122470 0.190566i
\(131\) −1.39027e6 + 408219.i −0.618421 + 0.181585i −0.575912 0.817511i \(-0.695353\pi\)
−0.0425083 + 0.999096i \(0.513535\pi\)
\(132\) 622305. + 89474.0i 0.270571 + 0.0389023i
\(133\) −245338. 537215.i −0.104282 0.228346i
\(134\) −3.22645e6 + 463894.i −1.34094 + 0.192799i
\(135\) 28996.0 + 45118.7i 0.0117852 + 0.0183381i
\(136\) 38403.6 + 33276.9i 0.0152670 + 0.0132290i
\(137\) 2.05780e6i 0.800280i −0.916454 0.400140i \(-0.868961\pi\)
0.916454 0.400140i \(-0.131039\pi\)
\(138\) −2.14250e6 295991.i −0.815236 0.112627i
\(139\) −2.04413e6 −0.761138 −0.380569 0.924752i \(-0.624272\pi\)
−0.380569 + 0.924752i \(0.624272\pi\)
\(140\) 67891.9 78351.5i 0.0247420 0.0285537i
\(141\) 22805.5 14656.2i 0.00813545 0.00522834i
\(142\) −13608.7 94650.6i −0.00475282 0.0330566i
\(143\) −1.71234e6 + 781999.i −0.585574 + 0.267422i
\(144\) 136990. 952786.i 0.0458776 0.319086i
\(145\) −84406.1 287461.i −0.0276866 0.0942920i
\(146\) 1.88982e6 + 1.21451e6i 0.607241 + 0.390250i
\(147\) 682248. 1.49391e6i 0.214778 0.470299i
\(148\) 724592. 2.46773e6i 0.223516 0.761225i
\(149\) −4.81379e6 + 4.17118e6i −1.45522 + 1.26096i −0.550578 + 0.834784i \(0.685593\pi\)
−0.904642 + 0.426171i \(0.859862\pi\)
\(150\) −1.79557e6 2.07220e6i −0.532022 0.613986i
\(151\) 3.81562e6 + 1.12037e6i 1.10824 + 0.325409i 0.784122 0.620607i \(-0.213114\pi\)
0.324120 + 0.946016i \(0.394932\pi\)
\(152\) 112738. + 51485.9i 0.0321027 + 0.0146608i
\(153\) 286910. 446440.i 0.0801071 0.124649i
\(154\) −740890. + 217545.i −0.202858 + 0.0595644i
\(155\) 105947. + 15232.9i 0.0284507 + 0.00409060i
\(156\) −1.31821e6 2.88648e6i −0.347226 0.760318i
\(157\) 4.72686e6 679620.i 1.22144 0.175617i 0.498726 0.866760i \(-0.333801\pi\)
0.722719 + 0.691142i \(0.242892\pi\)
\(158\) −2.16442e6 3.36790e6i −0.548744 0.853862i
\(159\) 1.66466e6 + 1.44244e6i 0.414129 + 0.358845i
\(160\) 660659.i 0.161294i
\(161\) 1.29227e6 387201.i 0.309654 0.0927810i
\(162\) 673367. 0.158382
\(163\) 3.98825e6 4.60268e6i 0.920914 1.06279i −0.0769220 0.997037i \(-0.524509\pi\)
0.997836 0.0657542i \(-0.0209453\pi\)
\(164\) 4.22869e6 2.71761e6i 0.958681 0.616107i
\(165\) −19182.6 133418.i −0.00427027 0.0297003i
\(166\) 81266.3 37113.1i 0.0177659 0.00811339i
\(167\) −335014. + 2.33008e6i −0.0719307 + 0.500289i 0.921727 + 0.387840i \(0.126779\pi\)
−0.993657 + 0.112449i \(0.964130\pi\)
\(168\) −11330.3 38587.6i −0.00238954 0.00813804i
\(169\) 3.93239e6 + 2.52719e6i 0.814697 + 0.523574i
\(170\) 146478. 320741.i 0.0298143 0.0652842i
\(171\) 364659. 1.24191e6i 0.0729286 0.248372i
\(172\) −1.24245e6 + 1.07659e6i −0.244171 + 0.211575i
\(173\) −4.95086e6 5.71359e6i −0.956185 1.10350i −0.994553 0.104233i \(-0.966761\pi\)
0.0383679 0.999264i \(-0.487784\pi\)
\(174\) −3.60912e6 1.05973e6i −0.685099 0.201163i
\(175\) 1.55567e6 + 710450.i 0.290271 + 0.132562i
\(176\) −1.30790e6 + 2.03513e6i −0.239903 + 0.373297i
\(177\) 2.57976e6 757487.i 0.465222 0.136601i
\(178\) 6.47856e6 + 931477.i 1.14873 + 0.165163i
\(179\) 1.31807e6 + 2.88616e6i 0.229815 + 0.503224i 0.989048 0.147595i \(-0.0471531\pi\)
−0.759233 + 0.650819i \(0.774426\pi\)
\(180\) 224902. 32336.0i 0.0385634 0.00554458i
\(181\) −3.08430e6 4.79926e6i −0.520140 0.809354i 0.477455 0.878656i \(-0.341559\pi\)
−0.997596 + 0.0693018i \(0.977923\pi\)
\(182\) 2.94542e6 + 2.55222e6i 0.488577 + 0.423354i
\(183\) 2.91778e6i 0.476101i
\(184\) −151742. + 239003.i −0.0243586 + 0.0383664i
\(185\) −551399. −0.0870865
\(186\) 880042. 1.01562e6i 0.136762 0.157831i
\(187\) −1.12199e6 + 721062.i −0.171580 + 0.110268i
\(188\) −16344.4 113678.i −0.00245978 0.0171081i
\(189\) −382045. + 174474.i −0.0565886 + 0.0258432i
\(190\) 122392. 851254.i 0.0178440 0.124108i
\(191\) −2.51181e6 8.55444e6i −0.360485 1.22770i −0.917681 0.397318i \(-0.869941\pi\)
0.557196 0.830381i \(-0.311877\pi\)
\(192\) −3.65331e6 2.34784e6i −0.516158 0.331715i
\(193\) −2.77172e6 + 6.06922e6i −0.385547 + 0.844230i 0.612987 + 0.790093i \(0.289968\pi\)
−0.998534 + 0.0541368i \(0.982759\pi\)
\(194\) −860683. + 2.93122e6i −0.117879 + 0.401460i
\(195\) −514152. + 445515.i −0.0693406 + 0.0600839i
\(196\) −4.55634e6 5.25829e6i −0.605128 0.698355i
\(197\) 1.01037e6 + 296673.i 0.132155 + 0.0388042i 0.347141 0.937813i \(-0.387152\pi\)
−0.214986 + 0.976617i \(0.568971\pi\)
\(198\) −1.53938e6 703010.i −0.198312 0.0905661i
\(199\) −7.73844e6 + 1.20412e7i −0.981961 + 1.52796i −0.138785 + 0.990323i \(0.544320\pi\)
−0.843176 + 0.537638i \(0.819317\pi\)
\(200\) −344364. + 101114.i −0.0430455 + 0.0126393i
\(201\) 4.41051e6 + 634136.i 0.543126 + 0.0780898i
\(202\) 5.25636e6 + 1.15098e7i 0.637721 + 1.39642i
\(203\) 2.32227e6 333892.i 0.277604 0.0399134i
\(204\) −1.21549e6 1.89134e6i −0.143173 0.222782i
\(205\) −814454. 705728.i −0.0945377 0.0819174i
\(206\) 7.59392e6i 0.868689i
\(207\) 2.69613e6 + 1.21335e6i 0.303970 + 0.136797i
\(208\) 1.22102e7 1.35685
\(209\) −2.13023e6 + 2.45841e6i −0.233339 + 0.269287i
\(210\) −234762. + 150873.i −0.0253496 + 0.0162912i
\(211\) 1.01232e6 + 7.04085e6i 0.107763 + 0.749511i 0.970018 + 0.243035i \(0.0781430\pi\)
−0.862254 + 0.506476i \(0.830948\pi\)
\(212\) 8.48831e6 3.87648e6i 0.890869 0.406846i
\(213\) −18602.9 + 129386.i −0.00192505 + 0.0133890i
\(214\) 3.93844e6 + 1.34131e7i 0.401868 + 1.36864i
\(215\) 296509. + 190555.i 0.0298348 + 0.0191736i
\(216\) 36614.7 80174.9i 0.00363324 0.00795568i
\(217\) −236150. + 804254.i −0.0231105 + 0.0787071i
\(218\) −1.40142e7 + 1.21433e7i −1.35269 + 1.17211i
\(219\) −2.01097e6 2.32078e6i −0.191458 0.220954i
\(220\) −547905. 160879.i −0.0514561 0.0151089i
\(221\) 6.12331e6 + 2.79642e6i 0.567296 + 0.259075i
\(222\) −3.74281e6 + 5.82392e6i −0.342089 + 0.532300i
\(223\) −1.33669e7 + 3.92489e6i −1.20536 + 0.353926i −0.821901 0.569631i \(-0.807086\pi\)
−0.383461 + 0.923557i \(0.625268\pi\)
\(224\) 5.12099e6 + 736287.i 0.455627 + 0.0655093i
\(225\) 1.55704e6 + 3.40945e6i 0.136695 + 0.299321i
\(226\) −1.22104e7 + 1.75559e6i −1.05780 + 0.152089i
\(227\) −4.57244e6 7.11486e6i −0.390904 0.608259i 0.588903 0.808204i \(-0.299560\pi\)
−0.979807 + 0.199945i \(0.935924\pi\)
\(228\) −4.14414e6 3.59091e6i −0.349647 0.302971i
\(229\) 7.88631e6i 0.656701i 0.944556 + 0.328350i \(0.106493\pi\)
−0.944556 + 0.328350i \(0.893507\pi\)
\(230\) 1.88791e6 + 543046.i 0.155166 + 0.0446327i
\(231\) 1.05554e6 0.0856328
\(232\) −322426. + 372099.i −0.0258206 + 0.0297985i
\(233\) 6.18514e6 3.97495e6i 0.488969 0.314242i −0.272821 0.962065i \(-0.587957\pi\)
0.761791 + 0.647823i \(0.224320\pi\)
\(234\) 1.21559e6 + 8.45459e6i 0.0948721 + 0.659850i
\(235\) −22397.2 + 10228.5i −0.00172580 + 0.000788147i
\(236\) 1.62104e6 1.12746e7i 0.123327 0.857760i
\(237\) 1.54182e6 + 5.25095e6i 0.115821 + 0.394451i
\(238\) 2.32293e6 + 1.49286e6i 0.172308 + 0.110736i
\(239\) −4.46812e6 + 9.78382e6i −0.327289 + 0.716662i −0.999724 0.0234936i \(-0.992521\pi\)
0.672435 + 0.740156i \(0.265248\pi\)
\(240\) −246316. + 838874.i −0.0178180 + 0.0606824i
\(241\) −1.70214e7 + 1.47491e7i −1.21603 + 1.05369i −0.219072 + 0.975709i \(0.570303\pi\)
−0.996955 + 0.0779843i \(0.975152\pi\)
\(242\) −1.04443e7 1.20534e7i −0.736944 0.850479i
\(243\) −883197. 259330.i −0.0615515 0.0180732i
\(244\) −1.12441e7 5.13501e6i −0.774026 0.353486i
\(245\) −806465. + 1.25488e6i −0.0548387 + 0.0853307i
\(246\) −1.29823e7 + 3.81196e6i −0.872063 + 0.256061i
\(247\) 1.62514e7 + 2.33660e6i 1.07845 + 0.155057i
\(248\) −73073.1 160008.i −0.00479074 0.0104903i
\(249\) −120883. + 17380.4i −0.00783010 + 0.00112580i
\(250\) 2.71033e6 + 4.21736e6i 0.173461 + 0.269911i
\(251\) −8.82581e6 7.64761e6i −0.558127 0.483620i 0.329517 0.944150i \(-0.393114\pi\)
−0.887644 + 0.460530i \(0.847660\pi\)
\(252\) 1.77933e6i 0.111187i
\(253\) −4.89683e6 5.58866e6i −0.302381 0.345101i
\(254\) 2.19579e7 1.33995
\(255\) −315647. + 364277.i −0.0190363 + 0.0219690i
\(256\) 1.31714e7 8.46473e6i 0.785075 0.504537i
\(257\) 1.22539e6 + 8.52280e6i 0.0721899 + 0.502092i 0.993551 + 0.113385i \(0.0361692\pi\)
−0.921361 + 0.388707i \(0.872922\pi\)
\(258\) 4.02531e6 1.83830e6i 0.234391 0.107043i
\(259\) 614520. 4.27408e6i 0.0353701 0.246005i
\(260\) 812002. + 2.76543e6i 0.0461995 + 0.157341i
\(261\) 4.32564e6 + 2.77992e6i 0.243292 + 0.156355i
\(262\) 6.86400e6 1.50301e7i 0.381657 0.835713i
\(263\) 9.14220e6 3.11355e7i 0.502555 1.71154i −0.182635 0.983181i \(-0.558463\pi\)
0.685190 0.728364i \(-0.259719\pi\)
\(264\) −167409. + 145060.i −0.00909843 + 0.00788383i
\(265\) −1.31013e6 1.51197e6i −0.0704007 0.0812467i
\(266\) 6.46195e6 + 1.89740e6i 0.343335 + 0.100812i
\(267\) −8.13863e6 3.71679e6i −0.427580 0.195269i
\(268\) 1.02058e7 1.58806e7i 0.530205 0.825014i
\(269\) −3.17406e7 + 9.31989e6i −1.63064 + 0.478800i −0.963851 0.266444i \(-0.914151\pi\)
−0.666792 + 0.745243i \(0.732333\pi\)
\(270\) −605376. 87039.9i −0.0307563 0.00442209i
\(271\) −4.19081e6 9.17659e6i −0.210567 0.461077i 0.774650 0.632391i \(-0.217926\pi\)
−0.985217 + 0.171314i \(0.945199\pi\)
\(272\) 8.56287e6 1.23115e6i 0.425513 0.0611795i
\(273\) −2.88033e6 4.48188e6i −0.141564 0.220278i
\(274\) 1.77346e7 + 1.53671e7i 0.862123 + 0.747034i
\(275\) 9.41988e6i 0.452947i
\(276\) 9.42078e6 8.25458e6i 0.448084 0.392616i
\(277\) 3.04507e7 1.43271 0.716353 0.697738i \(-0.245810\pi\)
0.716353 + 0.697738i \(0.245810\pi\)
\(278\) 1.52650e7 1.76167e7i 0.710496 0.819956i
\(279\) −1.54542e6 + 993178.i −0.0711595 + 0.0457314i
\(280\) 5198.44 + 36155.9i 0.000236809 + 0.00164704i
\(281\) 1.46277e7 6.68023e6i 0.659259 0.301073i −0.0575507 0.998343i \(-0.518329\pi\)
0.716809 + 0.697269i \(0.245602\pi\)
\(282\) −43994.8 + 305991.i −0.00196180 + 0.0136446i
\(283\) −3.66378e6 1.24777e7i −0.161648 0.550522i −0.999986 0.00537057i \(-0.998290\pi\)
0.838338 0.545151i \(-0.183528\pi\)
\(284\) 465869. + 299396.i 0.0203380 + 0.0130705i
\(285\) −488369. + 1.06938e6i −0.0210967 + 0.0461952i
\(286\) 6.04784e6 2.05970e7i 0.258525 0.880454i
\(287\) 6.37802e6 5.52659e6i 0.269799 0.233782i
\(288\) 7.42528e6 + 8.56923e6i 0.310839 + 0.358727i
\(289\) −1.85837e7 5.45665e6i −0.769906 0.226065i
\(290\) 3.10772e6 + 1.41925e6i 0.127423 + 0.0581921i
\(291\) 2.25777e6 3.51315e6i 0.0916220 0.142567i
\(292\) −1.24826e7 + 3.66522e6i −0.501368 + 0.147215i
\(293\) 2.39478e7 + 3.44317e6i 0.952056 + 0.136885i 0.600804 0.799396i \(-0.294847\pi\)
0.351252 + 0.936281i \(0.385756\pi\)
\(294\) 7.78003e6 + 1.70359e7i 0.306154 + 0.670383i
\(295\) −2.41719e6 + 347540.i −0.0941555 + 0.0135375i
\(296\) 489913. + 762319.i 0.0188905 + 0.0293942i
\(297\) 1.74832e6 + 1.51493e6i 0.0667347 + 0.0578259i
\(298\) 7.26355e7i 2.74473i
\(299\) −1.03673e7 + 3.60423e7i −0.387841 + 1.34834i
\(300\) 1.58791e7 0.588114
\(301\) −1.80751e6 + 2.08597e6i −0.0662796 + 0.0764908i
\(302\) −3.81496e7 + 2.45172e7i −1.38506 + 0.890124i
\(303\) −2.46160e6 1.71208e7i −0.0884890 0.615454i
\(304\) 1.91929e7 8.76511e6i 0.683156 0.311987i
\(305\) −377154. + 2.62317e6i −0.0132929 + 0.0924542i
\(306\) 1.70495e6 + 5.80654e6i 0.0595043 + 0.202653i
\(307\) −4.84240e7 3.11202e7i −1.67358 1.07554i −0.892422 0.451202i \(-0.850995\pi\)
−0.781153 0.624339i \(-0.785368\pi\)
\(308\) 1.85766e6 4.06770e6i 0.0635789 0.139218i
\(309\) −2.92460e6 + 9.96028e6i −0.0991269 + 0.337595i
\(310\) −922463. + 799319.i −0.0309645 + 0.0268309i
\(311\) −1.30995e7 1.51176e7i −0.435485 0.502576i 0.495007 0.868889i \(-0.335166\pi\)
−0.930492 + 0.366313i \(0.880620\pi\)
\(312\) 1.07275e6 + 314988.i 0.0353212 + 0.0103712i
\(313\) −1.52376e7 6.95876e6i −0.496915 0.226934i 0.151161 0.988509i \(-0.451699\pi\)
−0.648076 + 0.761576i \(0.724426\pi\)
\(314\) −2.94418e7 + 4.58123e7i −0.950988 + 1.47977i
\(315\) 366022. 107474.i 0.0117105 0.00343851i
\(316\) 2.29488e7 + 3.29954e6i 0.727275 + 0.104566i
\(317\) 1.63149e6 + 3.57246e6i 0.0512161 + 0.112148i 0.933510 0.358551i \(-0.116729\pi\)
−0.882294 + 0.470699i \(0.844002\pi\)
\(318\) −2.48625e7 + 3.57469e6i −0.773150 + 0.111162i
\(319\) −6.98650e6 1.08712e7i −0.215222 0.334893i
\(320\) 2.98095e6 + 2.58301e6i 0.0909713 + 0.0788271i
\(321\) 1.91096e7i 0.577745i
\(322\) −6.31335e6 + 1.40286e7i −0.189100 + 0.420191i
\(323\) 1.16325e7 0.345196
\(324\) −2.55371e6 + 2.94714e6i −0.0750821 + 0.0866494i
\(325\) −3.99972e7 + 2.57046e7i −1.16514 + 0.748792i
\(326\) 9.88376e6 + 6.87431e7i 0.285279 + 1.98416i
\(327\) 2.30579e7 1.05302e7i 0.659441 0.301157i
\(328\) −252048. + 1.75303e6i −0.00714268 + 0.0496784i
\(329\) −54323.2 185008.i −0.00152545 0.00519520i
\(330\) 1.29307e6 + 831007.i 0.0359816 + 0.0231240i
\(331\) −2.93650e6 + 6.43005e6i −0.0809742 + 0.177309i −0.945789 0.324783i \(-0.894709\pi\)
0.864814 + 0.502092i \(0.167436\pi\)
\(332\) −145765. + 496429.i −0.00398326 + 0.0135657i
\(333\) 7.15205e6 6.19729e6i 0.193686 0.167830i
\(334\) −1.75793e7 2.02876e7i −0.471804 0.544491i
\(335\) −3.88321e6 1.14021e6i −0.103290 0.0303285i
\(336\) −6.22788e6 2.84418e6i −0.164181 0.0749789i
\(337\) −3.74320e7 + 5.82453e7i −0.978031 + 1.52185i −0.130263 + 0.991479i \(0.541582\pi\)
−0.847768 + 0.530367i \(0.822054\pi\)
\(338\) −5.11459e7 + 1.50178e7i −1.32453 + 0.388916i
\(339\) 1.66915e7 + 2.39987e6i 0.428445 + 0.0616011i
\(340\) 848286. + 1.85749e6i 0.0215827 + 0.0472595i
\(341\) 4.56985e6 657046.i 0.115250 0.0165704i
\(342\) 7.97990e6 + 1.24170e7i 0.199489 + 0.310411i
\(343\) −1.86866e7 1.61920e7i −0.463072 0.401254i
\(344\) 579235.i 0.0142292i
\(345\) −2.26706e6 1.43934e6i −0.0552086 0.0350516i
\(346\) 8.62126e7 2.08134
\(347\) −9.51321e6 + 1.09788e7i −0.227687 + 0.262765i −0.858086 0.513507i \(-0.828346\pi\)
0.630398 + 0.776272i \(0.282892\pi\)
\(348\) 1.83256e7 1.17771e7i 0.434830 0.279448i
\(349\) 2.77881e6 + 1.93270e7i 0.0653706 + 0.454662i 0.996048 + 0.0888206i \(0.0283098\pi\)
−0.930677 + 0.365842i \(0.880781\pi\)
\(350\) −1.77401e7 + 8.10164e6i −0.413764 + 0.188960i
\(351\) 1.66169e6 1.15573e7i 0.0384263 0.267261i
\(352\) −8.02838e6 2.73422e7i −0.184077 0.626909i
\(353\) 5.34950e6 + 3.43792e6i 0.121616 + 0.0781576i 0.600034 0.799974i \(-0.295154\pi\)
−0.478419 + 0.878132i \(0.658790\pi\)
\(354\) −1.27368e7 + 2.78896e7i −0.287111 + 0.628685i
\(355\) 33449.1 113917.i 0.000747651 0.00254627i
\(356\) −2.86464e7 + 2.48223e7i −0.634922 + 0.550163i
\(357\) −2.47185e6 2.85267e6i −0.0543272 0.0626969i
\(358\) −3.47165e7 1.01937e7i −0.756636 0.222168i
\(359\) 6.14227e7 + 2.80508e7i 1.32753 + 0.606264i 0.947810 0.318835i \(-0.103292\pi\)
0.379724 + 0.925100i \(0.376019\pi\)
\(360\) −43281.1 + 67346.7i −0.000927664 + 0.00144347i
\(361\) −1.79177e7 + 5.26111e6i −0.380856 + 0.111829i
\(362\) 6.43937e7 + 9.25842e6i 1.35743 + 0.195169i
\(363\) 9.05686e6 + 1.98318e7i 0.189347 + 0.414612i
\(364\) −2.23407e7 + 3.21211e6i −0.463225 + 0.0666018i
\(365\) 1.50793e6 + 2.34639e6i 0.0310101 + 0.0482527i
\(366\) 2.51460e7 + 2.17892e7i 0.512892 + 0.444424i
\(367\) 6.25987e7i 1.26639i −0.773993 0.633194i \(-0.781744\pi\)
0.773993 0.633194i \(-0.218256\pi\)
\(368\) 1.38334e7 + 4.61686e7i 0.277578 + 0.926410i
\(369\) 1.84959e7 0.368126
\(370\) 4.11770e6 4.75207e6i 0.0812922 0.0938162i
\(371\) 1.31799e7 8.47020e6i 0.258101 0.165872i
\(372\) 1.10758e6 + 7.70339e6i 0.0215153 + 0.149642i
\(373\) 4.18769e7 1.91246e7i 0.806954 0.368523i 0.0311634 0.999514i \(-0.490079\pi\)
0.775790 + 0.630991i \(0.217352\pi\)
\(374\) 2.16448e6 1.50543e7i 0.0413750 0.287770i
\(375\) −1.93070e6 6.57536e6i −0.0366118 0.124688i
\(376\) 34040.8 + 21876.7i 0.000640377 + 0.000411545i
\(377\) −2.70950e7 + 5.93298e7i −0.505668 + 1.10726i
\(378\) 1.34935e6 4.59547e6i 0.0249833 0.0850853i
\(379\) 1.95079e7 1.69037e7i 0.358338 0.310501i −0.457023 0.889455i \(-0.651084\pi\)
0.815360 + 0.578954i \(0.196539\pi\)
\(380\) 3.26153e6 + 3.76401e6i 0.0594389 + 0.0685962i
\(381\) −2.88002e7 8.45651e6i −0.520740 0.152903i
\(382\) 9.24815e7 + 4.22349e7i 1.65907 + 0.757672i
\(383\) 4.89062e7 7.60996e7i 0.870498 1.35452i −0.0637753 0.997964i \(-0.520314\pi\)
0.934273 0.356557i \(-0.116050\pi\)
\(384\) 2.84956e6 836706.i 0.0503250 0.0147768i
\(385\) −948964. 136440.i −0.0166290 0.00239090i
\(386\) −3.16074e7 6.92105e7i −0.549574 1.20340i
\(387\) −5.98762e6 + 860890.i −0.103305 + 0.0148530i
\(388\) −9.56502e6 1.48835e7i −0.163753 0.254805i
\(389\) 8.68435e7 + 7.52503e7i 1.47533 + 1.27838i 0.880071 + 0.474843i \(0.157495\pi\)
0.595257 + 0.803536i \(0.297050\pi\)
\(390\) 7.75805e6i 0.130785i
\(391\) −3.63636e6 + 2.63214e7i −0.0608326 + 0.440330i
\(392\) 2.45143e6 0.0406970
\(393\) −1.47914e7 + 1.70701e7i −0.243686 + 0.281229i
\(394\) −1.01020e7 + 6.49215e6i −0.165165 + 0.106145i
\(395\) −707397. 4.92005e6i −0.0114781 0.0798323i
\(396\) 8.91488e6 4.07129e6i 0.143559 0.0655611i
\(397\) 6.07046e6 4.22210e7i 0.0970176 0.674772i −0.882038 0.471178i \(-0.843829\pi\)
0.979055 0.203594i \(-0.0652621\pi\)
\(398\) −4.59855e7 1.56612e8i −0.729410 2.48414i
\(399\) −7.74484e6 4.97731e6i −0.121925 0.0783566i
\(400\) −2.53820e7 + 5.55789e7i −0.396594 + 0.868420i
\(401\) 2.92080e7 9.94733e7i 0.452969 1.54267i −0.344188 0.938901i \(-0.611846\pi\)
0.797158 0.603771i \(-0.206336\pi\)
\(402\) −3.84016e7 + 3.32752e7i −0.591114 + 0.512203i
\(403\) −1.52599e7 1.76108e7i −0.233150 0.269070i
\(404\) −7.03097e7 2.06448e7i −1.06628 0.313088i
\(405\) 760498. + 347308.i 0.0114481 + 0.00522817i
\(406\) −1.44645e7 + 2.25073e7i −0.216136 + 0.336314i
\(407\) −2.28203e7 + 6.70065e6i −0.338484 + 0.0993879i
\(408\) 784068. + 112732.i 0.0115445 + 0.00165984i
\(409\) 5.01096e7 + 1.09725e8i 0.732405 + 1.60374i 0.795659 + 0.605745i \(0.207125\pi\)
−0.0632540 + 0.997997i \(0.520148\pi\)
\(410\) 1.21642e7 1.74895e6i 0.176495 0.0253762i
\(411\) −1.73427e7 2.69857e7i −0.249799 0.388694i
\(412\) 3.32365e7 + 2.87995e7i 0.475251 + 0.411807i
\(413\) 1.91238e7i 0.271471i
\(414\) −3.05909e7 + 1.41749e7i −0.431114 + 0.199764i
\(415\) 110924. 0.00155196
\(416\) −9.41883e7 + 1.08699e8i −1.30833 + 1.50989i
\(417\) −2.68064e7 + 1.72274e7i −0.369683 + 0.237581i
\(418\) −5.27917e6 3.67175e7i −0.0722832 0.502740i
\(419\) 7.35323e7 3.35811e7i 0.999623 0.456512i 0.152725 0.988269i \(-0.451195\pi\)
0.846898 + 0.531756i \(0.178468\pi\)
\(420\) 229997. 1.59967e6i 0.00310438 0.0215914i
\(421\) 2.71128e7 + 9.23377e7i 0.363352 + 1.23746i 0.915023 + 0.403402i \(0.132172\pi\)
−0.551670 + 0.834062i \(0.686009\pi\)
\(422\) −6.82393e7 4.38547e7i −0.908024 0.583551i
\(423\) 175549. 384398.i 0.00231940 0.00507878i
\(424\) −926288. + 3.15465e6i −0.0121520 + 0.0413860i
\(425\) −2.54578e7 + 2.20593e7i −0.331630 + 0.287359i
\(426\) −976154. 1.12654e6i −0.0126267 0.0145720i
\(427\) −1.99127e7 5.84690e6i −0.255768 0.0751004i
\(428\) −7.36417e7 3.36310e7i −0.939274 0.428952i
\(429\) −1.58648e7 + 2.46862e7i −0.200939 + 0.312667i
\(430\) −3.85649e6 + 1.13237e6i −0.0485050 + 0.0142424i
\(431\) 6.63742e7 + 9.54317e6i 0.829025 + 0.119196i 0.543747 0.839249i \(-0.317005\pi\)
0.285278 + 0.958445i \(0.407914\pi\)
\(432\) −6.23338e6 1.36492e7i −0.0773165 0.169300i
\(433\) −2.81547e7 + 4.04803e6i −0.346806 + 0.0498632i −0.313517 0.949583i \(-0.601507\pi\)
−0.0332890 + 0.999446i \(0.510598\pi\)
\(434\) −5.16773e6 8.04114e6i −0.0632165 0.0983668i
\(435\) −3.52954e6 3.05836e6i −0.0428795 0.0371553i
\(436\) 1.07389e8i 1.29569i
\(437\) 9.57681e6 + 6.40962e7i 0.114756 + 0.768047i
\(438\) 3.50184e7 0.416748
\(439\) 1.72279e7 1.98821e7i 0.203629 0.235000i −0.644745 0.764398i \(-0.723036\pi\)
0.848374 + 0.529397i \(0.177582\pi\)
\(440\) 169256. 108774.i 0.00198694 0.00127693i
\(441\) −3.64345e6 2.53408e7i −0.0424813 0.295464i
\(442\) −6.98274e7 + 3.18891e7i −0.808647 + 0.369297i
\(443\) 6.27051e6 4.36124e7i 0.0721260 0.501648i −0.921451 0.388494i \(-0.872996\pi\)
0.993577 0.113154i \(-0.0360953\pi\)
\(444\) −1.12953e7 3.84681e7i −0.129047 0.439493i
\(445\) 6.83643e6 + 4.39351e6i 0.0775799 + 0.0498576i
\(446\) 6.59951e7 1.44509e8i 0.743887 1.62889i
\(447\) −2.79737e7 + 9.52696e7i −0.313204 + 1.06667i
\(448\) −2.33439e7 + 2.02276e7i −0.259621 + 0.224963i
\(449\) 1.63896e7 + 1.89146e7i 0.181063 + 0.208957i 0.839024 0.544094i \(-0.183127\pi\)
−0.657962 + 0.753052i \(0.728581\pi\)
\(450\) −4.10109e7 1.20419e7i −0.450051 0.132147i
\(451\) −4.22832e7 1.93101e7i −0.460934 0.210501i
\(452\) 3.86237e7 6.00996e7i 0.418252 0.650813i
\(453\) 5.94796e7 1.74648e7i 0.639843 0.187875i
\(454\) 9.54630e7 + 1.37255e7i 1.02016 + 0.146677i
\(455\) 2.01017e6 + 4.40165e6i 0.0213402 + 0.0467284i
\(456\) 1.91235e6 274954.i 0.0201684 0.00289978i
\(457\) 4.84342e7 + 7.53651e7i 0.507462 + 0.789626i 0.996584 0.0825892i \(-0.0263189\pi\)
−0.489122 + 0.872216i \(0.662683\pi\)
\(458\) −6.79659e7 5.88928e7i −0.707448 0.613007i
\(459\) 8.27256e6i 0.0855464i
\(460\) −9.53655e6 + 6.20337e6i −0.0979756 + 0.0637315i
\(461\) 9.88134e7 1.00859 0.504293 0.863533i \(-0.331753\pi\)
0.504293 + 0.863533i \(0.331753\pi\)
\(462\) −7.88250e6 + 9.09690e6i −0.0799352 + 0.0922502i
\(463\) −7.61773e7 + 4.89562e7i −0.767508 + 0.493247i −0.864866 0.502002i \(-0.832597\pi\)
0.0973587 + 0.995249i \(0.468961\pi\)
\(464\) 1.19289e7 + 8.29671e7i 0.119411 + 0.830524i
\(465\) 1.51775e6 693134.i 0.0150953 0.00689379i
\(466\) −1.19320e7 + 8.29886e7i −0.117911 + 0.820089i
\(467\) −3.78606e7 1.28941e8i −0.371738 1.26602i −0.906926 0.421290i \(-0.861577\pi\)
0.535188 0.844733i \(-0.320241\pi\)
\(468\) −4.16134e7 2.67433e7i −0.405972 0.260902i
\(469\) 1.31659e7 2.88293e7i 0.127624 0.279457i
\(470\) 79105.2 269407.i 0.000761923 0.00259487i
\(471\) 5.62596e7 4.87493e7i 0.538436 0.466558i
\(472\) 2.62813e6 + 3.03303e6i 0.0249932 + 0.0288437i
\(473\) 1.45870e7 + 4.28314e6i 0.137842 + 0.0404742i
\(474\) −5.67677e7 2.59249e7i −0.533048 0.243435i
\(475\) −4.44185e7 + 6.91165e7i −0.414460 + 0.644913i
\(476\) −1.53434e7 + 4.50523e6i −0.142266 + 0.0417730i
\(477\) 3.39867e7 + 4.88655e6i 0.313151 + 0.0450243i
\(478\) −5.09523e7 1.11570e8i −0.466531 1.02156i
\(479\) 8.85614e7 1.27332e7i 0.805820 0.115859i 0.272919 0.962037i \(-0.412011\pi\)
0.532901 + 0.846178i \(0.321102\pi\)
\(480\) −5.56787e6 8.66378e6i −0.0503461 0.0783400i
\(481\) 9.07224e7 + 7.86114e7i 0.815228 + 0.706399i
\(482\) 2.56836e8i 2.29358i
\(483\) 1.36834e7 1.59687e7i 0.121438 0.141719i
\(484\) 9.23640e7 0.814641
\(485\) −2.48391e6 + 2.86658e6i −0.0217726 + 0.0251269i
\(486\) 8.83043e6 5.67497e6i 0.0769260 0.0494373i
\(487\) −8.13254e6 5.65631e7i −0.0704108 0.489718i −0.994263 0.106968i \(-0.965886\pi\)
0.923852 0.382751i \(-0.125023\pi\)
\(488\) 3.96167e6 1.80923e6i 0.0340894 0.0155681i
\(489\) 1.35110e7 9.39708e7i 0.115547 0.803649i
\(490\) −4.79240e6 1.63214e7i −0.0407347 0.138730i
\(491\) −2.68447e7 1.72521e7i −0.226785 0.145746i 0.422314 0.906449i \(-0.361218\pi\)
−0.649100 + 0.760703i \(0.724854\pi\)
\(492\) 3.25510e7 7.12767e7i 0.273318 0.598484i
\(493\) −1.30192e7 + 4.43393e7i −0.108653 + 0.370040i
\(494\) −1.41498e8 + 1.22609e8i −1.17373 + 1.01705i
\(495\) −1.37597e6 1.58795e6i −0.0113447 0.0130925i
\(496\) −2.87333e7 8.43687e6i −0.235473 0.0691411i
\(497\) 845731. + 386232.i 0.00688911 + 0.00314615i
\(498\) 752933. 1.17159e6i 0.00609633 0.00948608i
\(499\) 9.02214e7 2.64914e7i 0.726119 0.213208i 0.102275 0.994756i \(-0.467388\pi\)
0.623845 + 0.781548i \(0.285570\pi\)
\(500\) −2.87370e7 4.13176e6i −0.229896 0.0330541i
\(501\) 1.52440e7 + 3.33797e7i 0.121223 + 0.265442i
\(502\) 1.31817e8 1.89525e7i 1.04199 0.149815i
\(503\) −3.08984e7 4.80789e7i −0.242791 0.377790i 0.698377 0.715731i \(-0.253906\pi\)
−0.941168 + 0.337940i \(0.890270\pi\)
\(504\) −473791. 410542.i −0.00370080 0.00320676i
\(505\) 1.57103e7i 0.121986i
\(506\) 8.47324e7 467408.i 0.654031 0.00360781i
\(507\) 7.28673e7 0.559125
\(508\) −8.32741e7 + 9.61034e7i −0.635212 + 0.733074i
\(509\) 4.13498e7 2.65739e7i 0.313559 0.201512i −0.374389 0.927272i \(-0.622148\pi\)
0.687949 + 0.725759i \(0.258511\pi\)
\(510\) −782245. 5.44063e6i −0.00589701 0.0410146i
\(511\) −1.98682e7 + 9.07350e6i −0.148900 + 0.0680005i
\(512\) −2.71446e7 + 1.88795e8i −0.202243 + 1.40663i
\(513\) −5.68446e6 1.93595e7i −0.0421054 0.143398i
\(514\) −8.26022e7 5.30852e7i −0.608278 0.390917i
\(515\) 3.91678e6 8.57654e6i 0.0286752 0.0627900i
\(516\) −7.22007e6 + 2.45893e7i −0.0525524 + 0.178977i
\(517\) −802639. + 695491.i −0.00580829 + 0.00503292i
\(518\) 3.22459e7 + 3.72137e7i 0.231998 + 0.267740i
\(519\) −1.13078e8 3.32026e7i −0.808862 0.237503i
\(520\) −923718. 421848.i −0.00656945 0.00300017i
\(521\) −1.42207e7 + 2.21278e7i −0.100556 + 0.156468i −0.887886 0.460064i \(-0.847826\pi\)
0.787330 + 0.616532i \(0.211463\pi\)
\(522\) −5.62606e7 + 1.65196e7i −0.395542 + 0.116142i
\(523\) 1.27433e8 + 1.83221e7i 0.890795 + 0.128077i 0.572490 0.819911i \(-0.305977\pi\)
0.318305 + 0.947988i \(0.396886\pi\)
\(524\) 3.97510e7 + 8.70426e7i 0.276283 + 0.604976i
\(525\) 2.63883e7 3.79407e6i 0.182362 0.0262197i
\(526\) 2.00061e8 + 3.11301e8i 1.37469 + 2.13906i
\(527\) −1.24773e7 1.08116e7i −0.0852488 0.0738685i
\(528\) 3.77111e7i 0.256193i
\(529\) −1.48027e8 + 1.63316e6i −0.999939 + 0.0110322i
\(530\) 2.28142e7 0.153242
\(531\) 2.74467e7 3.16752e7i 0.183319 0.211561i
\(532\) −3.28110e7 + 2.10863e7i −0.217914 + 0.140045i
\(533\) 3.33895e7 + 2.32229e8i 0.220510 + 1.53368i
\(534\) 9.28091e7 4.23845e7i 0.609490 0.278345i
\(535\) −2.47012e6 + 1.71801e7i −0.0161308 + 0.112192i
\(536\) 1.87383e6 + 6.38167e6i 0.0121684 + 0.0414419i
\(537\) 4.16088e7 + 2.67403e7i 0.268696 + 0.172681i
\(538\) 1.56710e8 3.43146e8i 1.00635 2.20360i
\(539\) −1.81271e7 + 6.17351e7i −0.115761 + 0.394245i
\(540\) 2.67681e6 2.31947e6i 0.0169995 0.0147301i
\(541\) −4.55686e7 5.25890e7i −0.287789 0.332126i 0.593385 0.804919i \(-0.297791\pi\)
−0.881174 + 0.472793i \(0.843246\pi\)
\(542\) 1.10382e8 + 3.24110e7i 0.693264 + 0.203561i
\(543\) −8.08940e7 3.69431e7i −0.505262 0.230746i
\(544\) −5.50930e7 + 8.57264e7i −0.342216 + 0.532498i
\(545\) −2.20908e7 + 6.48645e6i −0.136465 + 0.0400698i
\(546\) 6.01352e7 + 8.64614e6i 0.369446 + 0.0531183i
\(547\) −6.33448e7 1.38706e8i −0.387034 0.847486i −0.998422 0.0561550i \(-0.982116\pi\)
0.611388 0.791331i \(-0.290611\pi\)
\(548\) −1.34515e8 + 1.93403e7i −0.817389 + 0.117523i
\(549\) −2.45903e7 3.82633e7i −0.148610 0.231241i
\(550\) 8.11826e7 + 7.03451e7i 0.487949 + 0.422810i
\(551\) 1.12709e8i 0.673760i
\(552\) 24343.9 + 4.41310e6i 0.000144735 + 0.0262377i
\(553\) 3.89253e7 0.230174
\(554\) −2.27397e8 + 2.62430e8i −1.33738 + 1.54342i
\(555\) −7.23096e6 + 4.64706e6i −0.0422977 + 0.0271831i
\(556\) 1.92118e7 + 1.33621e8i 0.111775 + 0.777410i
\(557\) −2.29576e8 + 1.04844e8i −1.32850 + 0.606706i −0.948058 0.318099i \(-0.896956\pi\)
−0.380443 + 0.924805i \(0.624228\pi\)
\(558\) 2.98131e6 2.07355e7i 0.0171595 0.119347i
\(559\) −2.16182e7 7.36247e7i −0.123761 0.421491i
\(560\) 5.23140e6 + 3.36202e6i 0.0297889 + 0.0191441i
\(561\) −8.63673e6 + 1.89118e7i −0.0489171 + 0.107113i
\(562\) −5.16637e7 + 1.75950e8i −0.291056 + 0.991245i
\(563\) −1.82996e8 + 1.58567e8i −1.02546 + 0.888564i −0.993828 0.110936i \(-0.964615\pi\)
−0.0316295 + 0.999500i \(0.510070\pi\)
\(564\) −1.17239e6 1.35301e6i −0.00653482 0.00754158i
\(565\) −1.46959e7 4.31511e6i −0.0814800 0.0239247i
\(566\) 1.34895e8 + 6.16046e7i 0.743956 + 0.339754i
\(567\) −3.53965e6 + 5.50781e6i −0.0194183 + 0.0302155i
\(568\) −187211. + 54970.2i −0.00102162 + 0.000299973i
\(569\) −1.42119e8 2.04336e7i −0.771461 0.110919i −0.254667 0.967029i \(-0.581966\pi\)
−0.516795 + 0.856109i \(0.672875\pi\)
\(570\) −5.56913e6 1.21947e7i −0.0300720 0.0658486i
\(571\) 9.42523e7 1.35514e7i 0.506272 0.0727909i 0.115554 0.993301i \(-0.463136\pi\)
0.390718 + 0.920510i \(0.372227\pi\)
\(572\) 6.72114e7 + 1.04583e8i 0.359132 + 0.558821i
\(573\) −1.05034e8 9.10127e7i −0.558299 0.483769i
\(574\) 9.62382e7i 0.508876i
\(575\) −1.42508e8 1.22114e8i −0.749608 0.642334i
\(576\) −6.76960e7 −0.354238
\(577\) 1.03138e8 1.19028e8i 0.536899 0.619614i −0.420881 0.907116i \(-0.638279\pi\)
0.957780 + 0.287501i \(0.0928246\pi\)
\(578\) 1.85804e8 1.19409e8i 0.962215 0.618378i
\(579\) 1.48020e7 + 1.02950e8i 0.0762579 + 0.530385i
\(580\) −1.79975e7 + 8.21919e6i −0.0922420 + 0.0421255i
\(581\) −123622. + 859808.i −0.000630328 + 0.00438403i
\(582\) 1.34167e7 + 4.56932e7i 0.0680577 + 0.231783i
\(583\) −7.25949e7 4.66539e7i −0.366354 0.235441i
\(584\) 1.90414e6 4.16949e6i 0.00956006 0.0209336i
\(585\) −2.98781e6 + 1.01756e7i −0.0149240 + 0.0508265i
\(586\) −2.08509e8 + 1.80674e8i −1.03617 + 0.897850i
\(587\) −1.11699e8 1.28908e8i −0.552251 0.637331i 0.409155 0.912465i \(-0.365823\pi\)
−0.961406 + 0.275134i \(0.911278\pi\)
\(588\) −1.04067e8 3.05567e7i −0.511894 0.150306i
\(589\) −3.66286e7 1.67277e7i −0.179257 0.0818637i
\(590\) 1.50558e7 2.34272e7i 0.0733072 0.114068i
\(591\) 1.57502e7 4.62467e6i 0.0762997 0.0224036i
\(592\) 1.52699e8 + 2.19548e7i 0.735987 + 0.105819i
\(593\) −1.51161e8 3.30996e8i −0.724894 1.58730i −0.806915 0.590667i \(-0.798865\pi\)
0.0820210 0.996631i \(-0.473863\pi\)
\(594\) −2.61119e7 + 3.75433e6i −0.124589 + 0.0179132i
\(595\) 1.85352e6 + 2.88414e6i 0.00879929 + 0.0136920i
\(596\) 3.17905e8 + 2.75466e8i 1.50162 + 1.30116i
\(597\) 2.23125e8i 1.04864i
\(598\) −2.33199e8 3.58502e8i −1.09049 1.67644i
\(599\) −4.14379e8 −1.92805 −0.964023 0.265819i \(-0.914358\pi\)
−0.964023 + 0.265819i \(0.914358\pi\)
\(600\) −3.66376e6 + 4.22821e6i −0.0169619 + 0.0195750i
\(601\) −1.73517e8 + 1.11513e8i −0.799316 + 0.513689i −0.875393 0.483413i \(-0.839397\pi\)
0.0760764 + 0.997102i \(0.475761\pi\)
\(602\) −4.47940e6 3.11549e7i −0.0205320 0.142803i
\(603\) 6.31831e7 2.88548e7i 0.288170 0.131603i
\(604\) 3.73752e7 2.59950e8i 0.169618 1.17972i
\(605\) −5.57891e6 1.90000e7i −0.0251932 0.0858001i
\(606\) 1.65933e8 + 1.06639e8i 0.745616 + 0.479178i
\(607\) 1.53792e8 3.36757e8i 0.687650 1.50574i −0.166679 0.986011i \(-0.553304\pi\)
0.854329 0.519733i \(-0.173968\pi\)
\(608\) −7.00225e7 + 2.38475e8i −0.311549 + 1.06104i
\(609\) 2.76400e7 2.39502e7i 0.122373 0.106037i
\(610\) −1.97905e7 2.28395e7i −0.0871902 0.100623i
\(611\) 5.14329e6 + 1.51021e6i 0.0225485 + 0.00662083i
\(612\) −3.18796e7 1.45589e7i −0.139078 0.0635147i
\(613\) 2.57190e6 4.00195e6i 0.0111653 0.0173736i −0.835626 0.549299i \(-0.814895\pi\)
0.846791 + 0.531925i \(0.178531\pi\)
\(614\) 6.29817e8 1.84931e8i 2.72088 0.798922i
\(615\) −1.66283e7 2.39079e6i −0.0714864 0.0102782i
\(616\) 654513. + 1.43318e6i 0.00280012 + 0.00613140i
\(617\) 1.76242e8 2.53397e7i 0.750331 0.107881i 0.243469 0.969909i \(-0.421715\pi\)
0.506862 + 0.862027i \(0.330805\pi\)
\(618\) −6.39997e7 9.95855e7i −0.271152 0.421920i
\(619\) 2.69263e7 + 2.33318e7i 0.113529 + 0.0983731i 0.709775 0.704428i \(-0.248796\pi\)
−0.596247 + 0.802801i \(0.703342\pi\)
\(620\) 7.06874e6i 0.0296597i
\(621\) 4.55825e7 6.81063e6i 0.190337 0.0284389i
\(622\) 2.28110e8 0.947924
\(623\) −4.16746e7 + 4.80950e7i −0.172348 + 0.198900i
\(624\) 1.60123e8 1.02905e8i 0.659020 0.423527i
\(625\) −3.34132e7 2.32394e8i −0.136861 0.951887i
\(626\) 1.73762e8 7.93544e7i 0.708324 0.323481i
\(627\) −7.21655e6 + 5.01922e7i −0.0292770 + 0.203626i
\(628\) −8.88511e7 3.02599e8i −0.358743 1.22177i
\(629\) 7.15490e7 + 4.59817e7i 0.287509 + 0.184771i
\(630\) −1.80712e6 + 3.95704e6i −0.00722712 + 0.0158252i
\(631\) −1.13008e8 + 3.84869e8i −0.449800 + 1.53188i 0.352995 + 0.935625i \(0.385163\pi\)
−0.802796 + 0.596254i \(0.796655\pi\)
\(632\) −6.17354e6 + 5.34940e6i −0.0244559 + 0.0211911i
\(633\) 7.26140e7 + 8.38011e7i 0.286292 + 0.330399i
\(634\) −4.29717e7 1.26176e7i −0.168622 0.0495120i
\(635\) 2.47991e7 + 1.13254e7i 0.0968535 + 0.0442315i
\(636\) 7.86444e7 1.22373e8i 0.305701 0.475679i
\(637\) 3.11594e8 9.14922e7i 1.20551 0.353970i
\(638\) 1.45864e8 + 2.09720e7i 0.561674 + 0.0807566i
\(639\) 846478. + 1.85353e6i 0.00324424 + 0.00710390i
\(640\) −2.66999e6 + 383886.i −0.0101852 + 0.00146441i
\(641\) −4.60784e7 7.16994e7i −0.174954 0.272233i 0.742692 0.669634i \(-0.233549\pi\)
−0.917645 + 0.397400i \(0.869912\pi\)
\(642\) 1.64690e8 + 1.42705e8i 0.622391 + 0.539305i
\(643\) 2.02068e8i 0.760089i −0.924968 0.380044i \(-0.875909\pi\)
0.924968 0.380044i \(-0.124091\pi\)
\(644\) −3.74561e7 8.08345e7i −0.140238 0.302649i
\(645\) 5.49432e6 0.0204755
\(646\) −8.68684e7 + 1.00251e8i −0.322229 + 0.371872i
\(647\) 2.56022e8 1.64535e8i 0.945288 0.607500i 0.0253988 0.999677i \(-0.491914\pi\)
0.919890 + 0.392177i \(0.128278\pi\)
\(648\) −195536. 1.35998e6i −0.000718623 0.00499813i
\(649\) −9.58151e7 + 4.37573e7i −0.350510 + 0.160072i
\(650\) 7.71599e7 5.36659e8i 0.280965 1.95415i
\(651\) 3.68122e6 + 1.25371e7i 0.0133429 + 0.0454416i
\(652\) −3.38353e8 2.17446e8i −1.22075 0.784529i
\(653\) 9.02890e7 1.97705e8i 0.324261 0.710033i −0.675362 0.737487i \(-0.736012\pi\)
0.999623 + 0.0274533i \(0.00873975\pi\)
\(654\) −8.14385e7 + 2.77354e8i −0.291136 + 0.991519i
\(655\) 1.55044e7 1.34346e7i 0.0551734 0.0478080i
\(656\) 1.97447e8 + 2.27866e8i 0.699420 + 0.807174i
\(657\) −4.59305e7 1.34864e7i −0.161959 0.0475555i
\(658\) 2.00011e6 + 913418.i 0.00702062 + 0.00320621i
\(659\) 8.99149e7 1.39910e8i 0.314178 0.488870i −0.647870 0.761751i \(-0.724340\pi\)
0.962048 + 0.272881i \(0.0879764\pi\)
\(660\) −8.54099e6 + 2.50786e6i −0.0297082 + 0.00872312i
\(661\) −1.89199e8 2.72027e7i −0.655111 0.0941907i −0.193259 0.981148i \(-0.561906\pi\)
−0.461852 + 0.886957i \(0.652815\pi\)
\(662\) −3.34865e7 7.33252e7i −0.115424 0.252743i
\(663\) 1.03868e8 1.49339e7i 0.356402 0.0512429i
\(664\) −98554.8 153354.i −0.000336646 0.000523831i
\(665\) 6.31946e6 + 5.47585e6i 0.0214890 + 0.0186203i
\(666\) 1.07917e8i 0.365316i
\(667\) −2.55032e8 3.52333e7i −0.859444 0.118734i
\(668\) 1.55462e8 0.521548
\(669\) −1.42214e8 + 1.64124e8i −0.474968 + 0.548142i
\(670\) 3.88253e7 2.49515e7i 0.129089 0.0829607i
\(671\) 1.62680e7 + 1.13146e8i 0.0538475 + 0.374517i
\(672\) 7.33611e7 3.35029e7i 0.241745 0.110401i
\(673\) −3.67155e7 + 2.55362e8i −0.120449 + 0.837743i 0.836599 + 0.547815i \(0.184540\pi\)
−0.957049 + 0.289928i \(0.906369\pi\)
\(674\) −2.22438e8 7.57556e8i −0.726491 2.47420i
\(675\) 4.91528e7 + 3.15886e7i 0.159822 + 0.102711i
\(676\) 1.28239e8 2.80805e8i 0.415128 0.909003i
\(677\) 3.21539e7 1.09506e8i 0.103626 0.352917i −0.891314 0.453386i \(-0.850216\pi\)
0.994940 + 0.100468i \(0.0320342\pi\)
\(678\) −1.45330e8 + 1.25929e8i −0.466300 + 0.404052i
\(679\) −1.94516e7 2.24483e7i −0.0621364 0.0717092i
\(680\) −690328. 202699.i −0.00219548 0.000644650i
\(681\) −1.19925e8 5.47677e7i −0.379723 0.173414i
\(682\) −2.84638e7 + 4.42906e7i −0.0897306 + 0.139624i
\(683\) −1.87583e8 + 5.50793e7i −0.588750 + 0.172873i −0.562520 0.826783i \(-0.690168\pi\)
−0.0262294 + 0.999656i \(0.508350\pi\)
\(684\) −8.46089e7 1.21649e7i −0.264392 0.0380138i
\(685\) 1.21034e7 + 2.65026e7i 0.0376560 + 0.0824551i
\(686\) 2.79093e8 4.01275e7i 0.864523 0.124300i
\(687\) 6.64639e7 + 1.03420e8i 0.204982 + 0.318958i
\(688\) −7.45249e7 6.45762e7i −0.228842 0.198293i
\(689\) 4.35548e8i 1.33161i
\(690\) 2.93344e7 8.78940e6i 0.0892955 0.0267554i
\(691\) −2.90987e8 −0.881940 −0.440970 0.897522i \(-0.645366\pi\)
−0.440970 + 0.897522i \(0.645366\pi\)
\(692\) −3.26957e8 + 3.77328e8i −0.986670 + 1.13868i
\(693\) 1.38422e7 8.89586e6i 0.0415917 0.0267293i
\(694\) −2.35759e7 1.63974e8i −0.0705325 0.490564i
\(695\) 2.63265e7 1.20229e7i 0.0784222 0.0358142i
\(696\) −1.09228e6 + 7.59697e6i −0.00323971 + 0.0225327i
\(697\) 4.68313e7 + 1.59493e8i 0.138305 + 0.471024i
\(698\) −1.87316e8 1.20381e8i −0.550818 0.353989i
\(699\) 4.76111e7 1.04254e8i 0.139404 0.305253i
\(700\) 3.18199e7 1.08369e8i 0.0927693 0.315943i
\(701\) −3.35477e8 + 2.90693e8i −0.973888 + 0.843879i −0.987753 0.156025i \(-0.950132\pi\)
0.0138652 + 0.999904i \(0.495586\pi\)
\(702\) 8.71943e7 + 1.00628e8i 0.252044 + 0.290874i
\(703\) 1.99036e8 + 5.84422e7i 0.572882 + 0.168213i
\(704\) 1.54759e8 + 7.06761e7i 0.443545 + 0.202560i
\(705\) −207511. + 322893.i −0.000592207 + 0.000921491i
\(706\) −6.95773e7 + 2.04297e7i −0.197721 + 0.0580562i
\(707\) −1.21776e8 1.75087e7i −0.344589 0.0495445i
\(708\) −7.37616e7 1.61515e8i −0.207841 0.455107i
\(709\) 4.73053e8 6.80147e7i 1.32731 0.190838i 0.558065 0.829797i \(-0.311544\pi\)
0.769240 + 0.638960i \(0.220635\pi\)
\(710\) 731973. + 1.13897e6i 0.00204513 + 0.00318228i
\(711\) 6.44729e7 + 5.58661e7i 0.179378 + 0.155432i
\(712\) 1.33551e7i 0.0370004i
\(713\) 4.93008e7 7.76520e7i 0.136015 0.214232i
\(714\) 4.30440e7 0.118254
\(715\) 1.74539e7 2.01429e7i 0.0477501 0.0551066i
\(716\) 1.76275e8 1.13285e8i 0.480234 0.308627i
\(717\) 2.38614e7 + 1.65960e8i 0.0647349 + 0.450241i
\(718\) −7.00436e8 + 3.19878e8i −1.89232 + 0.864194i
\(719\) 2.63689e7 1.83399e8i 0.0709422 0.493414i −0.923112 0.384530i \(-0.874363\pi\)
0.994055 0.108884i \(-0.0347275\pi\)
\(720\) 3.83968e6 + 1.30768e7i 0.0102872 + 0.0350350i
\(721\) 6.21145e7 + 3.99186e7i 0.165725 + 0.106505i
\(722\) 8.84630e7 1.93707e8i 0.235045 0.514676i
\(723\) −9.89137e7 + 3.36869e8i −0.261723 + 0.891346i
\(724\) −2.84731e8 + 2.46721e8i −0.750274 + 0.650116i
\(725\) −2.13736e8 2.46665e8i −0.560872 0.647281i
\(726\) −2.38549e8 7.00442e7i −0.623400 0.183047i
\(727\) 2.94429e8 + 1.34461e8i 0.766261 + 0.349940i 0.759900 0.650040i \(-0.225248\pi\)
0.00636135 + 0.999980i \(0.497975\pi\)
\(728\) 4.29934e6 6.68991e6i 0.0111431 0.0173391i
\(729\) −1.37677e7 + 4.04255e6i −0.0355368 + 0.0104345i
\(730\) −3.14825e7 4.52650e6i −0.0809283 0.0116357i
\(731\) −2.25841e7 4.94524e7i −0.0578165 0.126600i
\(732\) −1.90730e8 + 2.74228e7i −0.486280 + 0.0699164i
\(733\) 3.86272e8 + 6.01051e8i 0.980802 + 1.52616i 0.844545 + 0.535485i \(0.179871\pi\)
0.136257 + 0.990674i \(0.456493\pi\)
\(734\) 5.39488e8 + 4.67469e8i 1.36425 + 1.18213i
\(735\) 2.32530e7i 0.0585623i
\(736\) −5.17717e8 2.32991e8i −1.29855 0.584394i
\(737\) −1.74567e8 −0.436074
\(738\) −1.38122e8 + 1.59401e8i −0.343632 + 0.396573i
\(739\) −1.42086e8 + 9.13129e7i −0.352060 + 0.226255i −0.704703 0.709503i \(-0.748920\pi\)
0.352643 + 0.935758i \(0.385283\pi\)
\(740\) 5.18234e6 + 3.60440e7i 0.0127888 + 0.0889483i
\(741\) 2.32810e8 1.06321e8i 0.572200 0.261315i
\(742\) −2.54258e7 + 1.76840e8i −0.0622390 + 0.432882i
\(743\) 1.22760e8 + 4.18083e8i 0.299289 + 1.01929i 0.962597 + 0.270939i \(0.0873340\pi\)
−0.663307 + 0.748347i \(0.730848\pi\)
\(744\) −2.30678e6 1.48248e6i −0.00560127 0.00359972i
\(745\) 3.74638e7 8.20342e7i 0.0906030 0.198393i
\(746\) −1.47906e8 + 5.03721e8i −0.356262 + 1.21332i
\(747\) −1.43876e6 + 1.24670e6i −0.00345166 + 0.00299088i
\(748\) 5.76797e7 + 6.65659e7i 0.137822 + 0.159055i
\(749\) −1.30416e8 3.82935e7i −0.310373 0.0911337i
\(750\) 7.10858e7 + 3.24638e7i 0.168500 + 0.0769512i
\(751\) 3.73831e8 5.81693e8i 0.882583 1.37333i −0.0447137 0.999000i \(-0.514238\pi\)
0.927297 0.374327i \(-0.122126\pi\)
\(752\) 6.60971e6 1.94079e6i 0.0155428 0.00456378i
\(753\) −1.80192e8 2.59078e7i −0.422038 0.0606799i
\(754\) −3.08979e8 6.76569e8i −0.720800 1.57833i
\(755\) −5.57314e7 + 8.01297e6i −0.129497 + 0.0186188i
\(756\) 1.49957e7 + 2.33338e7i 0.0347058 + 0.0540033i
\(757\) 5.67534e8 + 4.91771e8i 1.30829 + 1.13364i 0.982105 + 0.188335i \(0.0603090\pi\)
0.326186 + 0.945306i \(0.394236\pi\)
\(758\) 2.94355e8i 0.675871i
\(759\) −1.11316e8 3.20195e7i −0.254585 0.0732299i
\(760\) −1.75479e6 −0.00399747
\(761\) −5.68765e8 + 6.56390e8i −1.29056 + 1.48939i −0.516489 + 0.856294i \(0.672761\pi\)
−0.774074 + 0.633095i \(0.781784\pi\)
\(762\) 2.87952e8 1.85056e8i 0.650812 0.418251i
\(763\) −2.56590e7 1.78462e8i −0.0577652 0.401766i
\(764\) −5.35582e8 + 2.44592e8i −1.20101 + 0.548482i
\(765\) −1.06932e6 +