Properties

Label 43.7.f.a.2.7
Level 43
Weight 7
Character 43.2
Analytic conductor 9.892
Analytic rank 0
Dimension 126
CM no
Inner twists 2

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 2.7
Character \(\chi\) \(=\) 43.2
Dual form 43.7.f.a.22.7

$q$-expansion

\(f(q)\) \(=\) \(q+(-3.64714 - 7.57336i) q^{2} +(2.80632 - 5.82738i) q^{3} +(-4.15080 + 5.20494i) q^{4} +(190.781 + 43.5445i) q^{5} -54.3678 q^{6} +593.422i q^{7} +(-469.925 - 107.257i) q^{8} +(428.441 + 537.248i) q^{9} +O(q^{10})\) \(q+(-3.64714 - 7.57336i) q^{2} +(2.80632 - 5.82738i) q^{3} +(-4.15080 + 5.20494i) q^{4} +(190.781 + 43.5445i) q^{5} -54.3678 q^{6} +593.422i q^{7} +(-469.925 - 107.257i) q^{8} +(428.441 + 537.248i) q^{9} +(-366.026 - 1603.66i) q^{10} +(1309.13 + 1641.60i) q^{11} +(18.6827 + 38.7950i) q^{12} +(203.429 - 891.283i) q^{13} +(4494.20 - 2164.29i) q^{14} +(789.141 - 989.552i) q^{15} +(996.393 + 4365.48i) q^{16} +(-837.881 - 3671.00i) q^{17} +(2506.19 - 5204.16i) q^{18} +(-6305.71 - 5028.64i) q^{19} +(-1018.54 + 812.258i) q^{20} +(3458.09 + 1665.33i) q^{21} +(7657.84 - 15901.7i) q^{22} +(5379.15 + 6745.25i) q^{23} +(-1943.79 + 2437.43i) q^{24} +(20423.5 + 9835.45i) q^{25} +(-7491.94 + 1709.99i) q^{26} +(8929.97 - 2038.21i) q^{27} +(-3088.73 - 2463.18i) q^{28} +(-6988.90 - 14512.6i) q^{29} +(-10372.3 - 2367.42i) q^{30} +(-24316.2 + 11710.1i) q^{31} +(5308.94 - 4233.74i) q^{32} +(13240.1 - 3021.96i) q^{33} +(-24745.9 + 19734.2i) q^{34} +(-25840.2 + 113214. i) q^{35} -4574.72 q^{36} -56433.9i q^{37} +(-15085.9 + 66095.6i) q^{38} +(-4622.95 - 3686.68i) q^{39} +(-84982.2 - 40925.3i) q^{40} +(-35014.3 + 16862.0i) q^{41} -32263.1i q^{42} +(79227.2 - 6663.89i) q^{43} -13978.4 q^{44} +(58344.1 + 121153. i) q^{45} +(31465.7 - 65339.1i) q^{46} +(62864.2 - 78829.2i) q^{47} +(28235.5 + 6444.57i) q^{48} -234501. q^{49} -190546. i q^{50} +(-23743.6 - 5419.33i) q^{51} +(3794.68 + 4758.38i) q^{52} +(-16522.9 - 72391.6i) q^{53} +(-48004.9 - 60196.2i) q^{54} +(178275. + 370191. i) q^{55} +(63648.9 - 278864. i) q^{56} +(-46999.6 + 22633.8i) q^{57} +(-84419.7 + 105859. i) q^{58} +(28352.8 + 124222. i) q^{59} +(1874.99 + 8214.87i) q^{60} +(76364.2 - 158572. i) q^{61} +(177369. + 141447. i) q^{62} +(-318815. + 254246. i) q^{63} +(206770. + 99575.2i) q^{64} +(77620.8 - 161181. i) q^{65} +(-71174.7 - 89250.3i) q^{66} +(247136. - 309899. i) q^{67} +(22585.2 + 10876.5i) q^{68} +(54402.7 - 12417.1i) q^{69} +(951649. - 217208. i) q^{70} +(-94719.4 - 75536.2i) q^{71} +(-143712. - 298420. i) q^{72} +(212584. + 48520.9i) q^{73} +(-427394. + 205822. i) q^{74} +(114630. - 91414.2i) q^{75} +(52347.5 - 11948.0i) q^{76} +(-974162. + 776869. i) q^{77} +(-11060.0 + 48457.1i) q^{78} +729548. q^{79} +876238. i q^{80} +(-98287.7 + 430626. i) q^{81} +(255404. + 203678. i) q^{82} +(-697139. - 335725. i) q^{83} +(-23021.8 + 11086.7i) q^{84} -736840. i q^{85} +(-339421. - 575712. i) q^{86} -104184. q^{87} +(-439121. - 911844. i) q^{88} +(205458. - 426638. i) q^{89} +(704745. - 883722. i) q^{90} +(528907. + 120720. i) q^{91} -57436.4 q^{92} +174562. i q^{93} +(-826276. - 188592. i) q^{94} +(-984039. - 1.23395e6i) q^{95} +(-9773.02 - 42818.4i) q^{96} +(64522.4 + 80908.5i) q^{97} +(855257. + 1.77596e6i) q^{98} +(-321061. + 1.40666e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + O(q^{10}) \) \( 126q - 7q^{2} - 7q^{3} + 725q^{4} - 7q^{5} + 244q^{6} + 2233q^{8} + 6312q^{9} + 1955q^{10} - 985q^{11} - 455q^{12} - 4485q^{13} - 6771q^{14} + 5017q^{15} - 41935q^{16} - 10409q^{17} - 5110q^{18} - 33397q^{19} - 24507q^{20} - 5448q^{21} + 25193q^{22} - 29017q^{23} - 1885q^{24} - 2080q^{25} + 34713q^{26} - 7q^{27} + 28665q^{28} + 17353q^{29} - 290052q^{30} + 13547q^{31} + 458283q^{32} - 94801q^{33} - 191527q^{34} + 183008q^{35} + 956352q^{36} + 304607q^{38} - 381031q^{39} + 66419q^{40} + 313447q^{41} - 323228q^{43} + 281588q^{44} - 1237551q^{45} + 80948q^{46} - 180133q^{47} - 762055q^{48} - 1861754q^{49} + 999215q^{51} + 471797q^{52} + 1030011q^{53} - 92099q^{54} + 324233q^{55} - 842713q^{56} + 331037q^{57} + 849461q^{58} - 369609q^{59} + 553323q^{60} - 594727q^{61} - 886711q^{62} + 1914136q^{63} - 3250219q^{64} + 1473521q^{65} - 427559q^{66} + 122535q^{67} - 602346q^{68} + 4320057q^{69} - 1694994q^{70} - 770707q^{71} - 391202q^{72} + 476945q^{73} - 3943812q^{74} + 2061367q^{75} - 2044462q^{76} + 3016216q^{77} + 239350q^{78} + 5077268q^{79} + 2388946q^{81} + 5820437q^{82} - 1324235q^{83} + 3759618q^{84} - 4967947q^{86} - 3537894q^{87} - 7289555q^{88} - 4331495q^{89} - 12825206q^{90} + 1802976q^{91} - 12038260q^{92} + 6249341q^{94} - 5313259q^{95} + 7069598q^{96} + 788975q^{97} + 4724783q^{98} - 2216971q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −3.64714 7.57336i −0.455892 0.946670i −0.994561 0.104152i \(-0.966787\pi\)
0.538669 0.842517i \(-0.318927\pi\)
\(3\) 2.80632 5.82738i 0.103938 0.215829i −0.842514 0.538675i \(-0.818925\pi\)
0.946452 + 0.322846i \(0.104640\pi\)
\(4\) −4.15080 + 5.20494i −0.0648563 + 0.0813272i
\(5\) 190.781 + 43.5445i 1.52625 + 0.348356i 0.901606 0.432558i \(-0.142389\pi\)
0.624640 + 0.780913i \(0.285246\pi\)
\(6\) −54.3678 −0.251703
\(7\) 593.422i 1.73009i 0.501691 + 0.865047i \(0.332711\pi\)
−0.501691 + 0.865047i \(0.667289\pi\)
\(8\) −469.925 107.257i −0.917823 0.209487i
\(9\) 428.441 + 537.248i 0.587711 + 0.736966i
\(10\) −366.026 1603.66i −0.366026 1.60366i
\(11\) 1309.13 + 1641.60i 0.983571 + 1.23336i 0.972376 + 0.233422i \(0.0749923\pi\)
0.0111955 + 0.999937i \(0.496436\pi\)
\(12\) 18.6827 + 38.7950i 0.0108117 + 0.0224508i
\(13\) 203.429 891.283i 0.0925942 0.405682i −0.907296 0.420492i \(-0.861857\pi\)
0.999890 + 0.0148106i \(0.00471454\pi\)
\(14\) 4494.20 2164.29i 1.63783 0.788736i
\(15\) 789.141 989.552i 0.233820 0.293200i
\(16\) 996.393 + 4365.48i 0.243260 + 1.06579i
\(17\) −837.881 3671.00i −0.170544 0.747200i −0.985776 0.168066i \(-0.946248\pi\)
0.815232 0.579134i \(-0.196609\pi\)
\(18\) 2506.19 5204.16i 0.429731 0.892345i
\(19\) −6305.71 5028.64i −0.919334 0.733145i 0.0446782 0.999001i \(-0.485774\pi\)
−0.964013 + 0.265857i \(0.914345\pi\)
\(20\) −1018.54 + 812.258i −0.127317 + 0.101532i
\(21\) 3458.09 + 1665.33i 0.373404 + 0.179822i
\(22\) 7657.84 15901.7i 0.719182 1.49340i
\(23\) 5379.15 + 6745.25i 0.442110 + 0.554389i 0.952098 0.305793i \(-0.0989215\pi\)
−0.509988 + 0.860182i \(0.670350\pi\)
\(24\) −1943.79 + 2437.43i −0.140610 + 0.176319i
\(25\) 20423.5 + 9835.45i 1.30711 + 0.629469i
\(26\) −7491.94 + 1709.99i −0.426260 + 0.0972910i
\(27\) 8929.97 2038.21i 0.453690 0.103552i
\(28\) −3088.73 2463.18i −0.140704 0.112207i
\(29\) −6988.90 14512.6i −0.286560 0.595047i 0.707146 0.707067i \(-0.249982\pi\)
−0.993706 + 0.112020i \(0.964268\pi\)
\(30\) −10372.3 2367.42i −0.384161 0.0876821i
\(31\) −24316.2 + 11710.1i −0.816226 + 0.393074i −0.794931 0.606700i \(-0.792493\pi\)
−0.0212946 + 0.999773i \(0.506779\pi\)
\(32\) 5308.94 4233.74i 0.162016 0.129203i
\(33\) 13240.1 3021.96i 0.368424 0.0840905i
\(34\) −24745.9 + 19734.2i −0.629603 + 0.502091i
\(35\) −25840.2 + 113214.i −0.602688 + 2.64055i
\(36\) −4574.72 −0.0980521
\(37\) 56433.9i 1.11413i −0.830470 0.557064i \(-0.811928\pi\)
0.830470 0.557064i \(-0.188072\pi\)
\(38\) −15085.9 + 66095.6i −0.274929 + 1.20454i
\(39\) −4622.95 3686.68i −0.0779337 0.0621501i
\(40\) −84982.2 40925.3i −1.32785 0.639458i
\(41\) −35014.3 + 16862.0i −0.508035 + 0.244657i −0.670300 0.742090i \(-0.733834\pi\)
0.162265 + 0.986747i \(0.448120\pi\)
\(42\) 32263.1i 0.435470i
\(43\) 79227.2 6663.89i 0.996481 0.0838152i
\(44\) −13978.4 −0.164096
\(45\) 58344.1 + 121153.i 0.640265 + 1.32952i
\(46\) 31465.7 65339.1i 0.323268 0.671274i
\(47\) 62864.2 78829.2i 0.605494 0.759265i −0.380729 0.924687i \(-0.624327\pi\)
0.986223 + 0.165421i \(0.0528984\pi\)
\(48\) 28235.5 + 6444.57i 0.255312 + 0.0582734i
\(49\) −234501. −1.99322
\(50\) 190546.i 1.52437i
\(51\) −23743.6 5419.33i −0.178993 0.0408540i
\(52\) 3794.68 + 4758.38i 0.0269876 + 0.0338414i
\(53\) −16522.9 72391.6i −0.110984 0.486251i −0.999618 0.0276349i \(-0.991202\pi\)
0.888634 0.458616i \(-0.151655\pi\)
\(54\) −48004.9 60196.2i −0.304863 0.382286i
\(55\) 178275. + 370191.i 1.07152 + 2.22504i
\(56\) 63648.9 278864.i 0.362432 1.58792i
\(57\) −46999.6 + 22633.8i −0.253787 + 0.122217i
\(58\) −84419.7 + 105859.i −0.432673 + 0.542555i
\(59\) 28352.8 + 124222.i 0.138051 + 0.604842i 0.995862 + 0.0908767i \(0.0289669\pi\)
−0.857811 + 0.513965i \(0.828176\pi\)
\(60\) 1874.99 + 8214.87i 0.00868051 + 0.0380318i
\(61\) 76364.2 158572.i 0.336434 0.698613i −0.662283 0.749254i \(-0.730412\pi\)
0.998717 + 0.0506413i \(0.0161265\pi\)
\(62\) 177369. + 141447.i 0.744222 + 0.593497i
\(63\) −318815. + 254246.i −1.27502 + 1.01679i
\(64\) 206770. + 99575.2i 0.788765 + 0.379849i
\(65\) 77620.8 161181.i 0.282643 0.586914i
\(66\) −71174.7 89250.3i −0.247568 0.310440i
\(67\) 247136. 309899.i 0.821696 1.03037i −0.177236 0.984168i \(-0.556715\pi\)
0.998932 0.0462062i \(-0.0147131\pi\)
\(68\) 22585.2 + 10876.5i 0.0718285 + 0.0345908i
\(69\) 54402.7 12417.1i 0.165605 0.0377982i
\(70\) 951649. 217208.i 2.77449 0.633259i
\(71\) −94719.4 75536.2i −0.264645 0.211047i 0.482173 0.876076i \(-0.339848\pi\)
−0.746818 + 0.665029i \(0.768419\pi\)
\(72\) −143712. 298420.i −0.385030 0.799522i
\(73\) 212584. + 48520.9i 0.546464 + 0.124727i 0.486835 0.873494i \(-0.338151\pi\)
0.0596287 + 0.998221i \(0.481008\pi\)
\(74\) −427394. + 205822.i −1.05471 + 0.507922i
\(75\) 114630. 91414.2i 0.271715 0.216686i
\(76\) 52347.5 11948.0i 0.119249 0.0272179i
\(77\) −974162. + 776869.i −2.13383 + 1.70167i
\(78\) −11060.0 + 48457.1i −0.0233062 + 0.102111i
\(79\) 729548. 1.47970 0.739848 0.672774i \(-0.234897\pi\)
0.739848 + 0.672774i \(0.234897\pi\)
\(80\) 876238.i 1.71140i
\(81\) −98287.7 + 430626.i −0.184946 + 0.810299i
\(82\) 255404. + 203678.i 0.463219 + 0.369405i
\(83\) −697139. 335725.i −1.21923 0.587150i −0.290132 0.956987i \(-0.593699\pi\)
−0.929097 + 0.369837i \(0.879414\pi\)
\(84\) −23021.8 + 11086.7i −0.0388420 + 0.0187053i
\(85\) 736840.i 1.19982i
\(86\) −339421. 575712.i −0.533633 0.905128i
\(87\) −104184. −0.158213
\(88\) −439121. 911844.i −0.644371 1.33805i
\(89\) 205458. 426638.i 0.291443 0.605187i −0.702914 0.711275i \(-0.748118\pi\)
0.994357 + 0.106088i \(0.0338324\pi\)
\(90\) 704745. 883722.i 0.966728 1.21224i
\(91\) 528907. + 120720.i 0.701867 + 0.160197i
\(92\) −57436.4 −0.0737605
\(93\) 174562.i 0.217020i
\(94\) −826276. 188592.i −0.994814 0.227060i
\(95\) −984039. 1.23395e6i −1.14774 1.43921i
\(96\) −9773.02 42818.4i −0.0110463 0.0483968i
\(97\) 64522.4 + 80908.5i 0.0706961 + 0.0886501i 0.815922 0.578162i \(-0.196230\pi\)
−0.745226 + 0.666812i \(0.767658\pi\)
\(98\) 855257. + 1.77596e6i 0.908695 + 1.88693i
\(99\) −321061. + 1.40666e6i −0.330888 + 1.44972i
\(100\) −135967. + 65478.2i −0.135967 + 0.0654782i
\(101\) −999564. + 1.25341e6i −0.970167 + 1.21655i 0.00610005 + 0.999981i \(0.498058\pi\)
−0.976267 + 0.216570i \(0.930513\pi\)
\(102\) 45553.8 + 199584.i 0.0429263 + 0.188073i
\(103\) 169888. + 744329.i 0.155472 + 0.681167i 0.991239 + 0.132082i \(0.0421663\pi\)
−0.835767 + 0.549084i \(0.814977\pi\)
\(104\) −191193. + 397017.i −0.169970 + 0.352947i
\(105\) 587222. + 468294.i 0.507264 + 0.404530i
\(106\) −487986. + 389156.i −0.409723 + 0.326743i
\(107\) −983394. 473577.i −0.802742 0.386580i −0.0129202 0.999917i \(-0.504113\pi\)
−0.789822 + 0.613336i \(0.789827\pi\)
\(108\) −26457.8 + 54940.2i −0.0210030 + 0.0436133i
\(109\) −522019. 654592.i −0.403095 0.505465i 0.538309 0.842748i \(-0.319063\pi\)
−0.941403 + 0.337283i \(0.890492\pi\)
\(110\) 2.15340e6 2.70028e6i 1.61788 2.02876i
\(111\) −328862. 158371.i −0.240461 0.115800i
\(112\) −2.59058e6 + 591282.i −1.84392 + 0.420863i
\(113\) −975072. + 222554.i −0.675774 + 0.154241i −0.546616 0.837383i \(-0.684084\pi\)
−0.129157 + 0.991624i \(0.541227\pi\)
\(114\) 342828. + 273396.i 0.231399 + 0.184535i
\(115\) 732521. + 1.52110e6i 0.481644 + 1.00014i
\(116\) 104547. + 23862.1i 0.0669787 + 0.0152875i
\(117\) 565998. 272570.i 0.353392 0.170185i
\(118\) 837370. 667780.i 0.509649 0.406432i
\(119\) 2.17845e6 497217.i 1.29273 0.295056i
\(120\) −476974. + 380374.i −0.276027 + 0.220124i
\(121\) −586815. + 2.57100e6i −0.331242 + 1.45126i
\(122\) −1.47943e6 −0.814733
\(123\) 251362.i 0.135078i
\(124\) 39981.5 175170.i 0.0209698 0.0918747i
\(125\) 1.07760e6 + 859358.i 0.551732 + 0.439991i
\(126\) 3.08826e6 + 1.48723e6i 1.54384 + 0.743474i
\(127\) 2.27509e6 1.09563e6i 1.11068 0.534874i 0.213677 0.976904i \(-0.431456\pi\)
0.897000 + 0.442030i \(0.145742\pi\)
\(128\) 2.36369e6i 1.12710i
\(129\) 183504. 480388.i 0.0854822 0.223781i
\(130\) −1.50378e6 −0.684469
\(131\) −1.27870e6 2.65525e6i −0.568794 1.18111i −0.964829 0.262877i \(-0.915329\pi\)
0.396036 0.918235i \(-0.370386\pi\)
\(132\) −39227.8 + 81457.3i −0.0170558 + 0.0354167i
\(133\) 2.98411e6 3.74195e6i 1.26841 1.59053i
\(134\) −3.24831e6 741406.i −1.35003 0.308135i
\(135\) 1.79242e6 0.728515
\(136\) 1.81496e6i 0.721524i
\(137\) 2.83761e6 + 647665.i 1.10355 + 0.251877i 0.735226 0.677822i \(-0.237076\pi\)
0.368320 + 0.929699i \(0.379933\pi\)
\(138\) −292453. 366724.i −0.111280 0.139541i
\(139\) −645471. 2.82799e6i −0.240343 1.05301i −0.940705 0.339225i \(-0.889835\pi\)
0.700362 0.713788i \(-0.253022\pi\)
\(140\) −482012. 604424.i −0.175660 0.220271i
\(141\) −282951. 587553.i −0.100938 0.209599i
\(142\) −226608. + 992835.i −0.0791426 + 0.346746i
\(143\) 1.72945e6 832858.i 0.591424 0.284815i
\(144\) −1.91845e6 + 2.40566e6i −0.642486 + 0.805652i
\(145\) −701405. 3.07305e6i −0.230072 1.00801i
\(146\) −407856. 1.78694e6i −0.131054 0.574183i
\(147\) −658084. + 1.36652e6i −0.207171 + 0.430195i
\(148\) 293735. + 234246.i 0.0906089 + 0.0722582i
\(149\) 1.68975e6 1.34753e6i 0.510814 0.407360i −0.333876 0.942617i \(-0.608357\pi\)
0.844689 + 0.535257i \(0.179785\pi\)
\(150\) −1.11038e6 534732.i −0.329002 0.158439i
\(151\) −2.50544e6 + 5.20260e6i −0.727701 + 1.51109i 0.126964 + 0.991907i \(0.459477\pi\)
−0.854665 + 0.519179i \(0.826238\pi\)
\(152\) 2.42386e6 + 3.03942e6i 0.690202 + 0.865486i
\(153\) 1.61325e6 2.02296e6i 0.450431 0.564823i
\(154\) 9.43641e6 + 4.54433e6i 2.58371 + 1.24425i
\(155\) −5.14897e6 + 1.17522e6i −1.38269 + 0.315590i
\(156\) 38377.9 8759.51i 0.0101090 0.00230731i
\(157\) −3.60458e6 2.87456e6i −0.931442 0.742800i 0.0350802 0.999385i \(-0.488831\pi\)
−0.966522 + 0.256585i \(0.917403\pi\)
\(158\) −2.66076e6 5.52513e6i −0.674582 1.40078i
\(159\) −468222. 106869.i −0.116482 0.0265863i
\(160\) 1.19720e6 576541.i 0.292285 0.140757i
\(161\) −4.00278e6 + 3.19211e6i −0.959144 + 0.764892i
\(162\) 3.61976e6 826186.i 0.851401 0.194327i
\(163\) 5.43871e6 4.33723e6i 1.25584 1.00150i 0.256448 0.966558i \(-0.417448\pi\)
0.999389 0.0349389i \(-0.0111237\pi\)
\(164\) 57571.7 252238.i 0.0130520 0.0571846i
\(165\) 2.65754e6 0.591600
\(166\) 6.50412e6i 1.42188i
\(167\) −882855. + 3.86804e6i −0.189557 + 0.830504i 0.787293 + 0.616579i \(0.211482\pi\)
−0.976850 + 0.213925i \(0.931375\pi\)
\(168\) −1.44643e6 1.15349e6i −0.305048 0.243268i
\(169\) 3.59580e6 + 1.73165e6i 0.744965 + 0.358756i
\(170\) −5.58036e6 + 2.68736e6i −1.13583 + 0.546989i
\(171\) 5.54221e6i 1.10840i
\(172\) −294171. + 440034.i −0.0578116 + 0.0864770i
\(173\) −6.52581e6 −1.26037 −0.630183 0.776447i \(-0.717020\pi\)
−0.630183 + 0.776447i \(0.717020\pi\)
\(174\) 379972. + 789019.i 0.0721279 + 0.149775i
\(175\) −5.83658e6 + 1.21198e7i −1.08904 + 2.26142i
\(176\) −5.86197e6 + 7.35068e6i −1.07524 + 1.34831i
\(177\) 803455. + 183383.i 0.144891 + 0.0330704i
\(178\) −3.98042e6 −0.705779
\(179\) 4.52514e6i 0.788993i 0.918897 + 0.394497i \(0.129081\pi\)
−0.918897 + 0.394497i \(0.870919\pi\)
\(180\) −872768. 199204.i −0.149652 0.0341570i
\(181\) −3.06282e6 3.84066e6i −0.516519 0.647694i 0.453347 0.891334i \(-0.350230\pi\)
−0.969866 + 0.243640i \(0.921658\pi\)
\(182\) −1.01474e6 4.44588e6i −0.168322 0.737469i
\(183\) −709756. 890005.i −0.115813 0.145224i
\(184\) −1.80432e6 3.74672e6i −0.289642 0.601447i
\(185\) 2.45738e6 1.07665e7i 0.388113 1.70043i
\(186\) 1.32202e6 636650.i 0.205446 0.0989378i
\(187\) 4.92941e6 6.18129e6i 0.753825 0.945266i
\(188\) 149365. + 654409.i 0.0224788 + 0.0984863i
\(189\) 1.20952e6 + 5.29924e6i 0.179154 + 0.784925i
\(190\) −5.75619e6 + 1.19529e7i −0.839217 + 1.74265i
\(191\) 3.33521e6 + 2.65974e6i 0.478655 + 0.381715i 0.832887 0.553443i \(-0.186686\pi\)
−0.354232 + 0.935158i \(0.615258\pi\)
\(192\) 1.16052e6 925487.i 0.163965 0.130758i
\(193\) 2.15299e6 + 1.03682e6i 0.299481 + 0.144222i 0.577590 0.816327i \(-0.303993\pi\)
−0.278109 + 0.960550i \(0.589708\pi\)
\(194\) 377427. 783736.i 0.0516926 0.107341i
\(195\) −721436. 904652.i −0.0972957 0.122005i
\(196\) 973367. 1.22056e6i 0.129273 0.162103i
\(197\) −5.54184e6 2.66881e6i −0.724862 0.349075i 0.0347990 0.999394i \(-0.488921\pi\)
−0.759661 + 0.650319i \(0.774635\pi\)
\(198\) 1.18241e7 2.69877e6i 1.52325 0.347672i
\(199\) −6.65940e6 + 1.51996e6i −0.845037 + 0.192874i −0.623056 0.782177i \(-0.714109\pi\)
−0.221981 + 0.975051i \(0.571252\pi\)
\(200\) −8.54261e6 6.81250e6i −1.06783 0.851563i
\(201\) −1.11235e6 2.30983e6i −0.136979 0.284440i
\(202\) 1.31381e7 + 2.99869e6i 1.59396 + 0.363812i
\(203\) 8.61210e6 4.14737e6i 1.02949 0.495775i
\(204\) 126762. 101090.i 0.0149314 0.0119074i
\(205\) −7.41430e6 + 1.69227e6i −0.860614 + 0.196430i
\(206\) 5.01747e6 4.00130e6i 0.573962 0.457719i
\(207\) −1.31922e6 + 5.77988e6i −0.148733 + 0.651640i
\(208\) 4.09358e6 0.454897
\(209\) 1.69346e7i 1.85497i
\(210\) 1.40488e6 6.15517e6i 0.151698 0.664634i
\(211\) −7.39213e6 5.89502e6i −0.786904 0.627535i 0.145333 0.989383i \(-0.453575\pi\)
−0.932237 + 0.361847i \(0.882146\pi\)
\(212\) 445377. + 214482.i 0.0467434 + 0.0225105i
\(213\) −705990. + 339987.i −0.0730567 + 0.0351822i
\(214\) 9.17479e6i 0.936171i
\(215\) 1.54052e7 + 2.17856e6i 1.55007 + 0.219207i
\(216\) −4.41503e6 −0.438099
\(217\) −6.94901e6 1.44298e7i −0.680054 1.41215i
\(218\) −3.05358e6 + 6.34082e6i −0.294741 + 0.612035i
\(219\) 879327. 1.10264e6i 0.0837178 0.104979i
\(220\) −2.66681e6 608681.i −0.250451 0.0571639i
\(221\) −3.44234e6 −0.318917
\(222\) 3.06819e6i 0.280429i
\(223\) 8.51734e6 + 1.94403e6i 0.768050 + 0.175302i 0.588556 0.808457i \(-0.299697\pi\)
0.179494 + 0.983759i \(0.442554\pi\)
\(224\) 2.51239e6 + 3.15044e6i 0.223534 + 0.280303i
\(225\) 3.46620e6 + 1.51864e7i 0.304303 + 1.33324i
\(226\) 5.24170e6 + 6.57289e6i 0.454095 + 0.569417i
\(227\) 8.27225e6 + 1.71775e7i 0.707206 + 1.46853i 0.875715 + 0.482829i \(0.160391\pi\)
−0.168508 + 0.985700i \(0.553895\pi\)
\(228\) 77278.4 338579.i 0.00652009 0.0285664i
\(229\) −1.20038e7 + 5.78074e6i −0.999570 + 0.481367i −0.860792 0.508956i \(-0.830032\pi\)
−0.138777 + 0.990324i \(0.544317\pi\)
\(230\) 8.84820e6 1.10953e7i 0.727229 0.911916i
\(231\) 1.79330e6 + 7.85695e6i 0.145484 + 0.637409i
\(232\) 1.72768e6 + 7.56945e6i 0.138356 + 0.606179i
\(233\) 1.34518e6 2.79330e6i 0.106344 0.220826i −0.841006 0.541026i \(-0.818036\pi\)
0.947350 + 0.320200i \(0.103750\pi\)
\(234\) −4.12854e6 3.29240e6i −0.322217 0.256960i
\(235\) 1.54259e7 1.23017e7i 1.18863 0.947898i
\(236\) −764255. 368046.i −0.0581436 0.0280005i
\(237\) 2.04734e6 4.25135e6i 0.153796 0.319361i
\(238\) −1.17107e7 1.46848e7i −0.868665 1.08927i
\(239\) −1.14008e6 + 1.42962e6i −0.0835109 + 0.104719i −0.821832 0.569730i \(-0.807048\pi\)
0.738321 + 0.674450i \(0.235619\pi\)
\(240\) 5.10617e6 + 2.45900e6i 0.369370 + 0.177879i
\(241\) 1.43495e7 3.27517e6i 1.02514 0.233982i 0.323288 0.946301i \(-0.395212\pi\)
0.701857 + 0.712318i \(0.252355\pi\)
\(242\) 2.16113e7 4.93265e6i 1.52488 0.348044i
\(243\) 7.45417e6 + 5.94450e6i 0.519494 + 0.414283i
\(244\) 508384. + 1.05567e6i 0.0349963 + 0.0726707i
\(245\) −4.47382e7 1.02112e7i −3.04215 0.694351i
\(246\) 1.90365e6 916750.i 0.127874 0.0615809i
\(247\) −5.76471e6 + 4.59720e6i −0.382548 + 0.305072i
\(248\) 1.26828e7 2.89476e6i 0.831495 0.189783i
\(249\) −3.91279e6 + 3.12034e6i −0.253448 + 0.202118i
\(250\) 2.57807e6 1.12953e7i 0.164996 0.722896i
\(251\) −7.20623e6 −0.455708 −0.227854 0.973695i \(-0.573171\pi\)
−0.227854 + 0.973695i \(0.573171\pi\)
\(252\) 2.71474e6i 0.169639i
\(253\) −4.03097e6 + 1.76609e7i −0.248913 + 1.09056i
\(254\) −1.65952e7 1.32342e7i −1.01270 0.807600i
\(255\) −4.29385e6 2.06781e6i −0.258956 0.124707i
\(256\) −4.66781e6 + 2.24790e6i −0.278223 + 0.133985i
\(257\) 2.03575e7i 1.19930i 0.800264 + 0.599648i \(0.204693\pi\)
−0.800264 + 0.599648i \(0.795307\pi\)
\(258\) −4.30741e6 + 362301.i −0.250817 + 0.0210965i
\(259\) 3.34891e7 1.92754
\(260\) 516751. + 1.07304e6i 0.0294009 + 0.0610516i
\(261\) 4.80254e6 9.97257e6i 0.270115 0.560900i
\(262\) −1.54455e7 + 1.93681e7i −0.858815 + 1.07692i
\(263\) 1.66693e7 + 3.80466e6i 0.916328 + 0.209146i 0.654582 0.755991i \(-0.272845\pi\)
0.261746 + 0.965137i \(0.415702\pi\)
\(264\) −6.54597e6 −0.355764
\(265\) 1.45304e7i 0.780801i
\(266\) −3.92226e7 8.95230e6i −2.08397 0.475652i
\(267\) −1.90960e6 2.39456e6i −0.100325 0.125803i
\(268\) 587192. + 2.57266e6i 0.0305053 + 0.133653i
\(269\) 2.18216e7 + 2.73634e7i 1.12106 + 1.40577i 0.902899 + 0.429853i \(0.141435\pi\)
0.218162 + 0.975913i \(0.429994\pi\)
\(270\) −6.53720e6 1.35746e7i −0.332124 0.689663i
\(271\) −7.07984e6 + 3.10188e7i −0.355726 + 1.55854i 0.407991 + 0.912986i \(0.366229\pi\)
−0.763717 + 0.645551i \(0.776628\pi\)
\(272\) 1.51908e7 7.31551e6i 0.754874 0.363528i
\(273\) 2.18776e6 2.74336e6i 0.107525 0.134833i
\(274\) −5.44414e6 2.38523e7i −0.264653 1.15952i
\(275\) 1.05912e7 + 4.64032e7i 0.509270 + 2.23126i
\(276\) −161185. + 334704.i −0.00766649 + 0.0159196i
\(277\) −2.22370e7 1.77334e7i −1.04625 0.834357i −0.0597667 0.998212i \(-0.519036\pi\)
−0.986484 + 0.163855i \(0.947607\pi\)
\(278\) −1.90633e7 + 1.52025e7i −0.887285 + 0.707586i
\(279\) −1.67093e7 8.04676e6i −0.769387 0.370517i
\(280\) 2.42860e7 5.04303e7i 1.10632 2.29730i
\(281\) −1.29964e7 1.62969e7i −0.585737 0.734491i 0.397342 0.917670i \(-0.369933\pi\)
−0.983080 + 0.183179i \(0.941361\pi\)
\(282\) −3.41779e6 + 4.28577e6i −0.152405 + 0.191109i
\(283\) −4.83720e6 2.32947e6i −0.213420 0.102777i 0.324120 0.946016i \(-0.394932\pi\)
−0.537540 + 0.843239i \(0.680646\pi\)
\(284\) 786323. 179473.i 0.0343278 0.00783509i
\(285\) −9.95220e6 + 2.27152e6i −0.429917 + 0.0981257i
\(286\) −1.26151e7 1.00602e7i −0.539251 0.430039i
\(287\) −1.00063e7 2.07783e7i −0.423279 0.878949i
\(288\) 4.54914e6 + 1.03831e6i 0.190437 + 0.0434660i
\(289\) 8.97303e6 4.32119e6i 0.371746 0.179023i
\(290\) −2.07152e7 + 1.65198e7i −0.849367 + 0.677348i
\(291\) 652555. 148941.i 0.0264812 0.00604417i
\(292\) −1.13494e6 + 905086.i −0.0455853 + 0.0363531i
\(293\) 2.07816e6 9.10500e6i 0.0826182 0.361974i −0.916672 0.399640i \(-0.869135\pi\)
0.999290 + 0.0376661i \(0.0119923\pi\)
\(294\) 1.27493e7 0.501700
\(295\) 2.49338e7i 0.971229i
\(296\) −6.05295e6 + 2.65197e7i −0.233395 + 1.02257i
\(297\) 1.50364e7 + 1.19912e7i 0.573952 + 0.457712i
\(298\) −1.63680e7 7.88243e6i −0.618512 0.297860i
\(299\) 7.10620e6 3.42217e6i 0.265842 0.128023i
\(300\) 976084.i 0.0361512i
\(301\) 3.95450e6 + 4.70152e7i 0.145008 + 1.72401i
\(302\) 4.85388e7 1.76225
\(303\) 4.49902e6 + 9.34231e6i 0.161730 + 0.335835i
\(304\) 1.56695e7 3.25380e7i 0.557742 1.15816i
\(305\) 2.14737e7 2.69272e7i 0.756847 0.949056i
\(306\) −2.12043e7 4.83975e6i −0.740048 0.168911i
\(307\) −3.68390e7 −1.27319 −0.636594 0.771199i \(-0.719657\pi\)
−0.636594 + 0.771199i \(0.719657\pi\)
\(308\) 8.29509e6i 0.283902i
\(309\) 4.81425e6 + 1.09882e6i 0.163175 + 0.0372436i
\(310\) 2.76793e7 + 3.47088e7i 0.929118 + 1.16508i
\(311\) 3.44523e6 + 1.50946e7i 0.114535 + 0.501810i 0.999356 + 0.0358793i \(0.0114232\pi\)
−0.884821 + 0.465931i \(0.845720\pi\)
\(312\) 1.77702e6 + 2.22831e6i 0.0585097 + 0.0733689i
\(313\) −1.85985e7 3.86201e7i −0.606519 1.25945i −0.947613 0.319420i \(-0.896512\pi\)
0.341095 0.940029i \(-0.389202\pi\)
\(314\) −8.62365e6 + 3.77827e7i −0.278549 + 1.22040i
\(315\) −7.18948e7 + 3.46227e7i −2.30020 + 1.10772i
\(316\) −3.02821e6 + 3.79725e6i −0.0959676 + 0.120340i
\(317\) −2.70517e6 1.18521e7i −0.0849213 0.372065i 0.914554 0.404465i \(-0.132542\pi\)
−0.999475 + 0.0324000i \(0.989685\pi\)
\(318\) 898315. + 3.93578e6i 0.0279349 + 0.122391i
\(319\) 1.46745e7 3.04719e7i 0.452055 0.938702i
\(320\) 3.51118e7 + 2.80007e7i 1.07153 + 0.854514i
\(321\) −5.51943e6 + 4.40160e6i −0.166870 + 0.133075i
\(322\) 3.87737e7 + 1.86724e7i 1.16137 + 0.559285i
\(323\) −1.31767e7 + 2.73617e7i −0.391019 + 0.811960i
\(324\) −1.83341e6 2.29903e6i −0.0539045 0.0675941i
\(325\) 1.29209e7 1.62023e7i 0.376394 0.471984i
\(326\) −5.26831e7 2.53709e7i −1.52061 0.732289i
\(327\) −5.27950e6 + 1.20501e6i −0.150991 + 0.0344626i
\(328\) 1.82627e7 4.16834e6i 0.517539 0.118125i
\(329\) 4.67790e7 + 3.73050e7i 1.31360 + 1.04756i
\(330\) −9.69241e6 2.01265e7i −0.269706 0.560050i
\(331\) −3.38127e7 7.71753e6i −0.932387 0.212811i −0.270762 0.962646i \(-0.587276\pi\)
−0.661625 + 0.749835i \(0.730133\pi\)
\(332\) 4.64111e6 2.23504e6i 0.126826 0.0610761i
\(333\) 3.03190e7 2.41786e7i 0.821074 0.654785i
\(334\) 3.25139e7 7.42110e6i 0.872630 0.199172i
\(335\) 6.06431e7 4.83613e7i 1.61305 1.28636i
\(336\) −3.82435e6 + 1.67556e7i −0.100818 + 0.441715i
\(337\) 4.36719e7 1.14107 0.570536 0.821273i \(-0.306736\pi\)
0.570536 + 0.821273i \(0.306736\pi\)
\(338\) 3.35479e7i 0.868790i
\(339\) −1.43946e6 + 6.30667e6i −0.0369487 + 0.161883i
\(340\) 3.83521e6 + 3.05848e6i 0.0975781 + 0.0778160i
\(341\) −5.10564e7 2.45874e7i −1.28762 0.620084i
\(342\) −4.19731e7 + 2.02132e7i −1.04928 + 0.505309i
\(343\) 6.93425e7i 1.71837i
\(344\) −3.79456e7 5.36617e6i −0.932152 0.131822i
\(345\) 1.09197e7 0.265921
\(346\) 2.38005e7 + 4.94223e7i 0.574591 + 1.19315i
\(347\) 9.69209e6 2.01258e7i 0.231968 0.481687i −0.752197 0.658938i \(-0.771006\pi\)
0.984166 + 0.177251i \(0.0567203\pi\)
\(348\) 432445. 542269.i 0.0102611 0.0128670i
\(349\) 4.98057e7 + 1.13678e7i 1.17166 + 0.267425i 0.763698 0.645573i \(-0.223381\pi\)
0.407965 + 0.912998i \(0.366239\pi\)
\(350\) 1.13074e8 2.63730
\(351\) 8.37376e6i 0.193642i
\(352\) 1.39002e7 + 3.17264e6i 0.318709 + 0.0727432i
\(353\) −2.81633e7 3.53156e7i −0.640264 0.802866i 0.350772 0.936461i \(-0.385919\pi\)
−0.991036 + 0.133595i \(0.957348\pi\)
\(354\) −1.54148e6 6.75367e6i −0.0347479 0.152241i
\(355\) −1.47814e7 1.85354e7i −0.330394 0.414301i
\(356\) 1.36781e6 + 2.84029e6i 0.0303163 + 0.0629524i
\(357\) 3.21595e6 1.40900e7i 0.0706813 0.309675i
\(358\) 3.42705e7 1.65038e7i 0.746916 0.359696i
\(359\) −3.52207e7 + 4.41654e7i −0.761228 + 0.954550i −0.999863 0.0165594i \(-0.994729\pi\)
0.238635 + 0.971109i \(0.423300\pi\)
\(360\) −1.44228e7 6.31906e7i −0.309132 1.35439i
\(361\) 4.00613e6 + 1.75520e7i 0.0851536 + 0.373082i
\(362\) −1.79161e7 + 3.72032e7i −0.377675 + 0.784251i
\(363\) 1.33354e7 + 1.06346e7i 0.278796 + 0.222333i
\(364\) −2.82373e6 + 2.25185e6i −0.0585488 + 0.0466911i
\(365\) 3.84441e7 + 1.85137e7i 0.790589 + 0.380728i
\(366\) −4.15175e6 + 8.62120e6i −0.0846815 + 0.175843i
\(367\) −5.50204e6 6.89934e6i −0.111308 0.139576i 0.723057 0.690789i \(-0.242737\pi\)
−0.834364 + 0.551213i \(0.814165\pi\)
\(368\) −2.40865e7 + 3.02035e7i −0.483315 + 0.606058i
\(369\) −2.40606e7 1.15870e7i −0.478882 0.230617i
\(370\) −9.05010e7 + 2.06563e7i −1.78669 + 0.407799i
\(371\) 4.29588e7 9.80506e6i 0.841260 0.192012i
\(372\) −908583. 724571.i −0.0176496 0.0140751i
\(373\) −3.64787e7 7.57489e7i −0.702932 1.45965i −0.879763 0.475412i \(-0.842299\pi\)
0.176831 0.984241i \(-0.443415\pi\)
\(374\) −6.47914e7 1.47882e7i −1.23852 0.282684i
\(375\) 8.03189e6 3.86796e6i 0.152308 0.0733479i
\(376\) −3.79965e7 + 3.03012e7i −0.714792 + 0.570028i
\(377\) −1.43566e7 + 3.27680e6i −0.267934 + 0.0611541i
\(378\) 3.57218e7 2.84872e7i 0.661390 0.527441i
\(379\) −3.38696e6 + 1.48392e7i −0.0622146 + 0.272580i −0.996462 0.0840458i \(-0.973216\pi\)
0.934247 + 0.356626i \(0.116073\pi\)
\(380\) 1.05072e7 0.191485
\(381\) 1.63325e7i 0.295310i
\(382\) 7.97920e6 3.49592e7i 0.143143 0.627149i
\(383\) 5.34629e7 + 4.26352e7i 0.951604 + 0.758879i 0.970539 0.240942i \(-0.0774564\pi\)
−0.0189359 + 0.999821i \(0.506028\pi\)
\(384\) −1.37741e7 6.63327e6i −0.243260 0.117148i
\(385\) −2.19680e8 + 1.05792e8i −3.84953 + 1.85384i
\(386\) 2.00868e7i 0.349259i
\(387\) 3.75244e7 + 3.97096e7i 0.647412 + 0.685114i
\(388\) −688944. −0.0117947
\(389\) −3.49048e7 7.24805e7i −0.592974 1.23132i −0.954291 0.298880i \(-0.903387\pi\)
0.361317 0.932443i \(-0.382327\pi\)
\(390\) −4.22008e6 + 8.76308e6i −0.0711421 + 0.147728i
\(391\) 2.02547e7 2.53986e7i 0.338840 0.424892i
\(392\) 1.10198e8 + 2.51519e7i 1.82943 + 0.417555i
\(393\) −1.90616e7 −0.314037
\(394\) 5.17039e7i 0.845346i
\(395\) 1.39184e8 + 3.17678e7i 2.25838 + 0.515461i
\(396\) −5.98892e6 7.50986e6i −0.0964412 0.120933i
\(397\) 8.68489e6 + 3.80510e7i 0.138801 + 0.608127i 0.995699 + 0.0926419i \(0.0295312\pi\)
−0.856898 + 0.515485i \(0.827612\pi\)
\(398\) 3.57990e7 + 4.48905e7i 0.567834 + 0.712041i
\(399\) −1.34314e7 2.78906e7i −0.211448 0.439076i
\(400\) −2.25867e7 + 9.89586e7i −0.352916 + 1.54623i
\(401\) −6.39971e7 + 3.08194e7i −0.992492 + 0.477959i −0.858384 0.513008i \(-0.828531\pi\)
−0.134108 + 0.990967i \(0.542817\pi\)
\(402\) −1.34362e7 + 1.68485e7i −0.206823 + 0.259348i
\(403\) 5.49034e6 + 2.40548e7i 0.0838850 + 0.367524i
\(404\) −2.37495e6 1.04053e7i −0.0360173 0.157802i
\(405\) −3.75028e7 + 7.78753e7i −0.564545 + 1.17229i
\(406\) −6.28190e7 5.00965e7i −0.938671 0.748565i
\(407\) 9.26419e7 7.38795e7i 1.37412 1.09582i
\(408\) 1.05765e7 + 5.09336e6i 0.155726 + 0.0749935i
\(409\) 2.63135e7 5.46405e7i 0.384599 0.798628i −0.615347 0.788256i \(-0.710984\pi\)
0.999946 0.0103720i \(-0.00330158\pi\)
\(410\) 3.98571e7 + 4.99792e7i 0.578301 + 0.725167i
\(411\) 1.17374e7 1.47182e7i 0.169062 0.211997i
\(412\) −4.57936e6 2.20531e6i −0.0654807 0.0315339i
\(413\) −7.37160e7 + 1.68252e7i −1.04643 + 0.238842i
\(414\) 4.85845e7 1.10891e7i 0.684694 0.156277i
\(415\) −1.18382e8 9.44063e7i −1.65631 1.32086i
\(416\) −2.69346e6 5.59303e6i −0.0374137 0.0776904i
\(417\) −1.82912e7 4.17484e6i −0.252251 0.0575747i
\(418\) −1.28252e8 + 6.17629e7i −1.75604 + 0.845666i
\(419\) −6.31198e7 + 5.03364e7i −0.858072 + 0.684289i −0.950262 0.311452i \(-0.899185\pi\)
0.0921901 + 0.995741i \(0.470613\pi\)
\(420\) −4.87488e6 + 1.11266e6i −0.0657986 + 0.0150181i
\(421\) 2.95213e7 2.35424e7i 0.395630 0.315504i −0.405388 0.914145i \(-0.632864\pi\)
0.801018 + 0.598640i \(0.204292\pi\)
\(422\) −1.76850e7 + 7.74832e7i −0.235325 + 1.03103i
\(423\) 6.92845e7 0.915408
\(424\) 3.57909e7i 0.469542i
\(425\) 1.89934e7 8.32156e7i 0.247421 1.08402i
\(426\) 5.14969e6 + 4.10674e6i 0.0666119 + 0.0531212i
\(427\) 9.41000e7 + 4.53162e7i 1.20867 + 0.582063i
\(428\) 6.54681e6 3.15278e6i 0.0835024 0.0402126i
\(429\) 1.24154e7i 0.157249i
\(430\) −3.96859e7 1.24615e8i −0.499149 1.56734i
\(431\) 7.61272e6 0.0950842 0.0475421 0.998869i \(-0.484861\pi\)
0.0475421 + 0.998869i \(0.484861\pi\)
\(432\) 1.77955e7 + 3.69528e7i 0.220729 + 0.458349i
\(433\) −4.36209e6 + 9.05796e6i −0.0537317 + 0.111575i −0.926106 0.377264i \(-0.876865\pi\)
0.872374 + 0.488839i \(0.162579\pi\)
\(434\) −8.39378e7 + 1.05255e8i −1.02681 + 1.28757i
\(435\) −1.98762e7 4.53661e6i −0.241471 0.0551143i
\(436\) 5.57391e6 0.0672513
\(437\) 6.95834e7i 0.833799i
\(438\) −1.15577e7 2.63797e6i −0.137547 0.0313941i
\(439\) 3.79944e7 + 4.76435e7i 0.449083 + 0.563132i 0.953912 0.300087i \(-0.0970158\pi\)
−0.504829 + 0.863219i \(0.668444\pi\)
\(440\) −4.40701e7 1.93084e8i −0.517351 2.26666i
\(441\) −1.00470e8 1.25985e8i −1.17144 1.46894i
\(442\) 1.25547e7 + 2.60701e7i 0.145392 + 0.301909i
\(443\) −3.25386e7 + 1.42561e8i −0.374272 + 1.63979i 0.340360 + 0.940295i \(0.389451\pi\)
−0.714633 + 0.699500i \(0.753406\pi\)
\(444\) 2.18935e6 1.05434e6i 0.0250131 0.0120457i
\(445\) 5.77752e7 7.24478e7i 0.655634 0.822139i
\(446\) −1.63411e7 7.15950e7i −0.184194 0.807009i
\(447\) −3.11059e6 1.36284e7i −0.0348273 0.152588i
\(448\) −5.90901e7 + 1.22702e8i −0.657175 + 1.36464i
\(449\) 7.24780e7 + 5.77993e7i 0.800695 + 0.638533i 0.935893 0.352286i \(-0.114595\pi\)
−0.135197 + 0.990819i \(0.543167\pi\)
\(450\) 1.02370e8 8.16377e7i 1.12341 0.895887i
\(451\) −7.35191e7 3.54049e7i −0.801439 0.385952i
\(452\) 2.88895e6 5.99897e6i 0.0312842 0.0649623i
\(453\) 2.32864e7 + 2.92003e7i 0.250500 + 0.314118i
\(454\) 9.99214e7 1.25297e8i 1.06780 1.33898i
\(455\) 9.56486e7 + 4.60619e7i 1.01542 + 0.488999i
\(456\) 2.45139e7 5.59515e6i 0.258535 0.0590088i
\(457\) 9.74104e7 2.22333e7i 1.02060 0.232946i 0.320697 0.947182i \(-0.396083\pi\)
0.699905 + 0.714236i \(0.253226\pi\)
\(458\) 8.75592e7 + 6.98261e7i 0.911392 + 0.726811i
\(459\) −1.49645e7 3.10741e7i −0.154748 0.321337i
\(460\) −1.09578e7 2.50104e6i −0.112577 0.0256949i
\(461\) 6.00153e7 2.89018e7i 0.612575 0.295000i −0.101755 0.994809i \(-0.532446\pi\)
0.714330 + 0.699809i \(0.246732\pi\)
\(462\) 5.29631e7 4.22367e7i 0.537090 0.428315i
\(463\) −2.38766e7 + 5.44967e6i −0.240563 + 0.0549069i −0.341102 0.940026i \(-0.610800\pi\)
0.100539 + 0.994933i \(0.467943\pi\)
\(464\) 5.63909e7 4.49702e7i 0.564488 0.450164i
\(465\) −7.60119e6 + 3.33030e7i −0.0756002 + 0.331226i
\(466\) −2.60607e7 −0.257531
\(467\) 1.36788e8i 1.34307i −0.740972 0.671535i \(-0.765635\pi\)
0.740972 0.671535i \(-0.234365\pi\)
\(468\) −930633. + 4.07737e6i −0.00907906 + 0.0397779i
\(469\) 1.83901e8 + 1.46656e8i 1.78264 + 1.42161i
\(470\) −1.49425e8 7.19595e7i −1.43923 0.693098i
\(471\) −2.68667e7 + 1.29383e7i −0.257129 + 0.123827i
\(472\) 6.14161e7i 0.584058i
\(473\) 1.14658e8 + 1.21336e8i 1.08348 + 1.14658i
\(474\) −3.96639e7 −0.372444
\(475\) −7.93260e7 1.64722e8i −0.740175 1.53699i
\(476\) −6.45433e6 + 1.34026e7i −0.0598453 + 0.124270i
\(477\) 3.18132e7 3.98925e7i 0.293124 0.367566i
\(478\) 1.49851e7 + 3.42025e6i 0.137207 + 0.0313165i
\(479\) −1.43188e7 −0.130287 −0.0651434 0.997876i \(-0.520750\pi\)
−0.0651434 + 0.997876i \(0.520750\pi\)
\(480\) 8.59449e6i 0.0777135i
\(481\) −5.02985e7 1.14803e7i −0.451981 0.103162i
\(482\) −7.71386e7 9.67287e7i −0.688859 0.863802i
\(483\) 7.36856e6 + 3.22838e7i 0.0653945 + 0.286512i
\(484\) −1.09462e7 1.37261e7i −0.0965442 0.121063i
\(485\) 8.78651e6 + 1.82454e7i 0.0770178 + 0.159929i
\(486\) 1.78335e7 7.81335e7i 0.155356 0.680657i
\(487\) 5.91680e7 2.84938e7i 0.512271 0.246697i −0.159846 0.987142i \(-0.551100\pi\)
0.672117 + 0.740445i \(0.265385\pi\)
\(488\) −5.28934e7 + 6.63263e7i −0.455137 + 0.570724i
\(489\) −1.00119e7 4.38651e7i −0.0856230 0.375139i
\(490\) 8.58333e7 + 3.76060e8i 0.729571 + 3.19646i
\(491\) −1.54312e7 + 3.20433e7i −0.130363 + 0.270703i −0.955926 0.293608i \(-0.905144\pi\)
0.825562 + 0.564311i \(0.190858\pi\)
\(492\) −1.30832e6 1.04335e6i −0.0109855 0.00876064i
\(493\) −4.74199e7 + 3.78161e7i −0.395749 + 0.315599i
\(494\) 5.58409e7 + 2.68916e7i 0.463203 + 0.223067i
\(495\) −1.22504e8 + 2.54383e8i −1.01003 + 2.09736i
\(496\) −7.53486e7 9.44841e7i −0.617490 0.774308i
\(497\) 4.48248e7 5.62086e7i 0.365132 0.457861i
\(498\) 3.79020e7 + 1.82526e7i 0.306884 + 0.147787i
\(499\) 9.41371e7 2.14862e7i 0.757634 0.172925i 0.173781 0.984784i \(-0.444402\pi\)
0.583853 + 0.811859i \(0.301544\pi\)
\(500\) −8.94582e6 + 2.04182e6i −0.0715665 + 0.0163346i
\(501\) 2.00630e7 + 1.59997e7i 0.159544 + 0.127232i
\(502\) 2.62821e7 + 5.45753e7i 0.207754 + 0.431405i
\(503\) −9.03110e7 2.06129e7i −0.709638 0.161970i −0.147558 0.989053i \(-0.547141\pi\)
−0.562080 + 0.827083i \(0.689999\pi\)
\(504\) 1.77089e8 8.52816e7i 1.38325 0.666137i
\(505\) −2.45277e8 + 1.95602e8i −1.90451 + 1.51879i
\(506\) 1.48453e8 3.38835e7i 1.14588 0.261539i
\(507\) 2.01819e7 1.60945e7i 0.154860 0.123497i
\(508\) −3.74079e6 + 1.63895e7i −0.0285346 + 0.125018i
\(509\) 6.33147e7 0.480122 0.240061 0.970758i \(-0.422833\pi\)
0.240061 + 0.970758i \(0.422833\pi\)
\(510\) 4.00604e7i 0.301999i
\(511\) −2.87934e7 + 1.26152e8i −0.215789 + 0.945434i
\(512\) −8.42243e7 6.71667e7i −0.627520 0.500431i
\(513\) −6.65593e7 3.20532e7i −0.493011 0.237421i
\(514\) 1.54175e8 7.42468e7i 1.13534 0.546749i
\(515\) 1.49401e8i 1.09379i
\(516\) 1.73870e6 + 2.94912e6i 0.0126554 + 0.0214656i
\(517\) 2.11704e8 1.53199
\(518\) −1.22139e8 2.53625e8i −0.878753 1.82475i
\(519\) −1.83135e7 + 3.80284e7i −0.130999 + 0.272023i
\(520\) −5.37639e7 + 6.74178e7i −0.382367 + 0.479473i
\(521\) −2.15711e8 4.92346e7i −1.52531 0.348143i −0.624039 0.781393i \(-0.714509\pi\)
−0.901273 + 0.433251i \(0.857366\pi\)
\(522\) −9.30414e7 −0.654131
\(523\) 8.00246e6i 0.0559395i −0.999609 0.0279697i \(-0.991096\pi\)
0.999609 0.0279697i \(-0.00890420\pi\)
\(524\) 1.91280e7 + 4.36585e6i 0.132946 + 0.0303441i
\(525\) 5.42472e7 + 6.80239e7i 0.374886 + 0.470092i
\(526\) −3.19812e7 1.40119e8i −0.219755 0.962808i
\(527\) 6.33616e7 + 7.94530e7i 0.432907 + 0.542848i
\(528\) 2.63846e7 + 5.47883e7i 0.179246 + 0.372208i
\(529\) 1.63780e7 7.17569e7i 0.110636 0.484726i
\(530\) −1.10044e8 + 5.29944e7i −0.739160 + 0.355961i
\(531\) −5.45905e7 + 6.84543e7i −0.364614 + 0.457211i
\(532\) 7.09020e6 + 3.10642e7i 0.0470894 + 0.206312i
\(533\) 7.90587e6 + 3.46379e7i 0.0522117 + 0.228754i
\(534\) −1.11703e7 + 2.31954e7i −0.0733570 + 0.152327i
\(535\) −1.66991e8 1.33171e8i −1.09051 0.869656i
\(536\) −1.49374e8 + 1.19122e8i −0.970022 + 0.773567i
\(537\) 2.63697e7 + 1.26990e7i 0.170287 + 0.0820061i
\(538\) 1.27646e8 2.65061e8i 0.819713 1.70215i
\(539\) −3.06993e8 3.84957e8i −1.96048 2.45836i
\(540\) −7.43998e6 + 9.32944e6i −0.0472487 + 0.0592481i
\(541\) 1.17600e8 + 5.66331e7i 0.742702 + 0.357667i 0.766666 0.642046i \(-0.221914\pi\)
−0.0239635 + 0.999713i \(0.507629\pi\)
\(542\) 2.60738e8 5.95117e7i 1.63759 0.373770i
\(543\) −3.09762e7 + 7.07011e6i −0.193477 + 0.0441598i
\(544\) −1.99903e7 1.59417e7i −0.124172 0.0990236i
\(545\) −7.10874e7 1.47614e8i −0.439140 0.911884i
\(546\) −2.87555e7 6.56326e6i −0.176662 0.0403220i
\(547\) −1.08232e8 + 5.21219e7i −0.661294 + 0.318462i −0.734256 0.678872i \(-0.762469\pi\)
0.0729625 + 0.997335i \(0.476755\pi\)
\(548\) −1.51494e7 + 1.20812e7i −0.0920563 + 0.0734125i
\(549\) 1.17910e8 2.69122e7i 0.712580 0.162642i
\(550\) 3.12800e8 2.49450e8i 1.88009 1.49932i
\(551\) −2.89086e7 + 1.26657e8i −0.172812 + 0.757137i
\(552\) −2.68970e7 −0.159914
\(553\) 4.32930e8i 2.56001i
\(554\) −5.32000e7 + 2.33084e8i −0.312883 + 1.37083i
\(555\) −5.58443e7 4.45343e7i −0.326663 0.260505i
\(556\) 1.73988e7 + 8.37880e6i 0.101226 + 0.0487481i
\(557\) 2.39300e8 1.15241e8i 1.38477 0.666870i 0.414758 0.909932i \(-0.363866\pi\)
0.970011 + 0.243062i \(0.0781519\pi\)
\(558\) 1.55893e8i 0.897271i
\(559\) 1.01777e7 7.19695e7i 0.0582661 0.412015i
\(560\) −5.19979e8 −2.96089
\(561\) −2.21872e7 4.60722e7i −0.125665 0.260946i
\(562\) −7.60229e7 + 1.57863e8i −0.428288 + 0.889348i
\(563\) 8.39775e7 1.05304e8i 0.470585 0.590095i −0.488729 0.872435i \(-0.662539\pi\)
0.959314 + 0.282341i \(0.0911109\pi\)
\(564\) 4.23265e6 + 966075.i 0.0235926 + 0.00538485i
\(565\) −1.95716e8 −1.08513
\(566\) 4.51297e7i 0.248893i
\(567\) −2.55543e8 5.83261e7i −1.40189 0.319973i
\(568\) 3.64092e7 + 4.56557e7i 0.198686 + 0.249144i
\(569\) 3.81772e7 + 1.67265e8i 0.207237 + 0.907965i 0.966396 + 0.257060i \(0.0827536\pi\)
−0.759158 + 0.650906i \(0.774389\pi\)
\(570\) 5.35001e7 + 6.70870e7i 0.288888 + 0.362254i
\(571\) −1.04989e8 2.18012e8i −0.563944 1.17104i −0.966742 0.255753i \(-0.917676\pi\)
0.402798 0.915289i \(-0.368038\pi\)
\(572\) −2.84362e6 + 1.24587e7i −0.0151944 + 0.0665709i
\(573\) 2.48590e7 1.19714e7i 0.132135 0.0636330i
\(574\) −1.20867e8 + 1.51562e8i −0.639104 + 0.801412i
\(575\) 4.35188e7 + 1.90668e8i 0.228914 + 1.00294i
\(576\) 3.50922e7 + 1.53749e8i 0.183630 + 0.804535i
\(577\) −2.87504e7 + 5.97009e7i −0.149664 + 0.310780i −0.962300 0.271992i \(-0.912318\pi\)
0.812636 + 0.582772i \(0.198032\pi\)
\(578\) −6.54518e7 5.21960e7i −0.338952 0.270305i
\(579\) 1.20839e7 9.63660e6i 0.0622547 0.0496465i
\(580\) 1.89065e7 + 9.10487e6i 0.0969005 + 0.0466648i
\(581\) 1.99226e8 4.13698e8i 1.01582 2.10938i
\(582\) −3.50794e6 4.39882e6i −0.0177944 0.0223135i
\(583\) 9.72075e7 1.21894e8i 0.490562 0.615145i
\(584\) −9.46943e7 4.56024e7i −0.475428 0.228954i
\(585\) 1.19850e8 2.73551e7i 0.598648 0.136638i
\(586\) −7.65348e7 + 1.74686e7i −0.380335 + 0.0868089i
\(587\) −1.10519e8 8.81356e7i −0.546413 0.435750i 0.310977 0.950417i \(-0.399344\pi\)
−0.857390 + 0.514668i \(0.827915\pi\)
\(588\) −4.38111e6 9.09746e6i −0.0215502 0.0447495i
\(589\) 2.12217e8 + 4.84370e7i 1.03856 + 0.237046i
\(590\) 1.88832e8 9.09368e7i 0.919433 0.442776i
\(591\) −3.11043e7 + 2.48049e7i −0.150681 + 0.120164i
\(592\) 2.46361e8 5.62304e7i 1.18743 0.271023i
\(593\) −1.52164e8 + 1.21346e8i −0.729704 + 0.581919i −0.916288 0.400520i \(-0.868830\pi\)
0.186584 + 0.982439i \(0.440258\pi\)
\(594\) 3.59734e7 1.57610e8i 0.171641 0.752010i
\(595\) 4.37257e8 2.07580
\(596\) 1.43883e7i 0.0679629i
\(597\) −9.83097e6 + 4.30723e7i −0.0462034 + 0.202430i
\(598\) −5.18346e7 4.13367e7i −0.242391 0.193300i
\(599\) −8.66757e7 4.17408e7i −0.403290 0.194214i 0.221233 0.975221i \(-0.428992\pi\)
−0.624522 + 0.781007i \(0.714706\pi\)
\(600\) −6.36723e7 + 3.06630e7i −0.294779 + 0.141958i
\(601\) 9.50294e7i 0.437759i 0.975752 + 0.218879i \(0.0702401\pi\)
−0.975752 + 0.218879i \(0.929760\pi\)
\(602\) 3.41640e8 2.01420e8i 1.56596 0.923236i
\(603\) 2.72376e8 1.24227
\(604\) −1.66796e7 3.46356e7i −0.0756965 0.157185i
\(605\) −2.23906e8 + 4.64946e8i −1.01111 + 2.09960i
\(606\) 5.43441e7 6.81454e7i 0.244194 0.306209i
\(607\) −2.42123e8 5.52630e7i −1.08260 0.247097i −0.356231 0.934398i \(-0.615939\pi\)
−0.726373 + 0.687300i \(0.758796\pi\)
\(608\) −5.47666e7 −0.243672
\(609\) 6.18248e7i 0.273723i
\(610\) −2.82247e8 6.44210e7i −1.24348 0.283817i
\(611\) −5.74707e7 7.20659e7i −0.251955 0.315941i
\(612\) 3.83307e6 + 1.67938e7i 0.0167222 + 0.0732646i
\(613\) −6.64195e6 8.32875e6i −0.0288346 0.0361575i 0.767205 0.641402i \(-0.221647\pi\)
−0.796040 + 0.605244i \(0.793075\pi\)
\(614\) 1.34357e8 + 2.78995e8i 0.580436 + 1.20529i
\(615\) −1.09454e7 + 4.79550e7i −0.0470551 + 0.206162i
\(616\) 5.41108e8 2.60584e8i 2.31495 1.11482i
\(617\) −1.88301e8 + 2.36121e8i −0.801671 + 1.00526i 0.198015 + 0.980199i \(0.436551\pi\)
−0.999686 + 0.0250646i \(0.992021\pi\)
\(618\) −9.23646e6 4.04676e7i −0.0391327 0.171452i
\(619\) −7.61331e6 3.33561e7i −0.0320997 0.140638i 0.956339 0.292260i \(-0.0944074\pi\)
−0.988439 + 0.151622i \(0.951550\pi\)
\(620\) 1.52554e7 3.16782e7i 0.0640101 0.132918i
\(621\) 6.17839e7 + 4.92710e7i 0.257989 + 0.205739i
\(622\) 1.01751e8 8.11439e7i 0.422833 0.337198i
\(623\) 2.53177e8 + 1.21923e8i 1.04703 + 0.504223i
\(624\) 1.14879e7 2.38548e7i 0.0472809 0.0981798i
\(625\) −5.26710e7 6.60474e7i −0.215741 0.270530i
\(626\) −2.24653e8 + 2.81706e8i −0.915775 + 1.14835i
\(627\) −9.86844e7 4.75239e7i −0.400356 0.192801i
\(628\) 2.99238e7 6.82991e6i 0.120820 0.0275763i
\(629\) −2.07169e8 + 4.72849e7i −0.832477 + 0.190007i
\(630\) 5.24420e8 + 4.18211e8i 2.09729 + 1.67253i
\(631\) 1.18109e7 + 2.45255e7i 0.0470104 + 0.0976180i 0.923151 0.384438i \(-0.125605\pi\)
−0.876141 + 0.482056i \(0.839890\pi\)
\(632\) −3.42833e8 7.82494e7i −1.35810 0.309977i
\(633\) −5.50972e7 + 2.65334e7i −0.217229 + 0.104612i
\(634\) −7.98942e7 + 6.37135e7i −0.313507 + 0.250014i
\(635\) 4.81752e8 1.09957e8i 1.88149 0.429439i
\(636\) 2.49974e6 1.99348e6i 0.00971681 0.00774889i
\(637\) −4.77044e7 + 2.09007e8i −0.184561 + 0.808614i
\(638\) −2.84295e8 −1.09473
\(639\) 8.32506e7i 0.319069i
\(640\) 1.02926e8 4.50947e8i 0.392631 1.72023i
\(641\) −1.73764e8 1.38572e8i −0.659759 0.526140i 0.235394 0.971900i \(-0.424362\pi\)
−0.895153 + 0.445760i \(0.852934\pi\)
\(642\) 5.34650e7 + 2.57474e7i 0.202053 + 0.0973034i
\(643\) −9.42643e7 + 4.53953e7i −0.354580 + 0.170757i −0.602691 0.797975i \(-0.705905\pi\)
0.248110 + 0.968732i \(0.420190\pi\)
\(644\) 3.40840e7i 0.127613i
\(645\) 5.59272e7 8.36582e7i 0.208422 0.311766i
\(646\) 2.55277e8 0.946921
\(647\) 1.76705e7 + 3.66933e7i 0.0652435 + 0.135479i 0.931040 0.364916i \(-0.118902\pi\)
−0.865797 + 0.500395i \(0.833188\pi\)
\(648\) 9.23757e7 1.91820e8i 0.339495 0.704968i
\(649\) −1.66805e8 + 2.09167e8i −0.610204 + 0.765172i
\(650\) −1.69830e8 3.87627e7i −0.618408 0.141148i
\(651\) −1.03589e8 −0.375465
\(652\) 4.63112e7i 0.167087i
\(653\) 3.21669e8 + 7.34188e7i 1.15523 + 0.263674i 0.756877 0.653557i \(-0.226724\pi\)
0.398355 + 0.917231i \(0.369581\pi\)
\(654\) 2.83811e7 + 3.55887e7i 0.101460 + 0.127227i
\(655\) −1.28330e8 5.62250e8i −0.456672 2.00081i
\(656\) −1.08499e8 1.36053e8i −0.384338 0.481945i
\(657\) 6.50119e7 + 1.34999e8i 0.229243 + 0.476029i
\(658\) 1.11915e8 4.90331e8i 0.392835 1.72112i
\(659\) −3.36278e8 + 1.61943e8i −1.17501 + 0.565857i −0.916455 0.400139i \(-0.868962\pi\)
−0.258559 + 0.965995i \(0.583248\pi\)
\(660\) −1.10309e7 + 1.38323e7i −0.0383690 + 0.0481131i
\(661\) 1.65143e7 + 7.23539e7i 0.0571815 + 0.250529i 0.995438 0.0954122i \(-0.0304169\pi\)
−0.938256 + 0.345941i \(0.887560\pi\)
\(662\) 6.48720e7 + 2.84223e8i 0.223606 + 0.979682i
\(663\) −9.66031e6 + 2.00598e7i −0.0331475 + 0.0688314i
\(664\) 2.91594e8 + 2.32539e8i 0.996036 + 0.794312i
\(665\) 7.32251e8 5.83951e8i 2.48998 1.98569i
\(666\) −2.93691e8 1.41434e8i −0.994186 0.478775i
\(667\) 6.02967e7 1.25207e8i 0.203197 0.421942i
\(668\) −1.64684e7 2.06507e7i −0.0552486 0.0692795i
\(669\) 3.52309e7 4.41782e7i 0.117665 0.147547i
\(670\) −5.87431e8 2.82892e8i −1.95314 0.940581i
\(671\) 3.60282e8 8.22321e7i 1.19255 0.272191i
\(672\) 2.54094e7 5.79953e6i 0.0837310 0.0191111i
\(673\) −4.18308e7 3.33590e7i −0.137231 0.109438i 0.552469 0.833534i \(-0.313686\pi\)
−0.689699 + 0.724096i \(0.742257\pi\)
\(674\) −1.59278e8 3.30743e8i −0.520205 1.08022i
\(675\) 2.02428e8 + 4.62029e7i 0.658203 + 0.150230i
\(676\) −2.39386e7 + 1.15282e7i −0.0774923 + 0.0373183i
\(677\) 1.43511e8 1.14447e8i 0.462509 0.368839i −0.364337 0.931267i \(-0.618704\pi\)
0.826846 + 0.562428i \(0.190133\pi\)
\(678\) 5.30126e7 1.20998e7i 0.170094 0.0388229i
\(679\) −4.80129e7 + 3.82890e7i −0.153373 + 0.122311i
\(680\) −7.90316e7 + 3.46260e8i −0.251347 + 1.10122i
\(681\) 1.23314e8 0.390456
\(682\) 4.76342e8i 1.50164i
\(683\) 7.10034e7 3.11086e8i 0.222852 0.976380i −0.732467 0.680803i \(-0.761631\pi\)
0.955319 0.295577i \(-0.0955118\pi\)
\(684\) 2.88469e7 + 2.30046e7i 0.0901427 + 0.0718864i
\(685\) 5.13158e8 + 2.47124e8i 1.59654 + 0.768853i
\(686\) −5.25155e8 + 2.52901e8i −1.62673 + 0.783392i
\(687\) 8.61734e7i 0.265768i
\(688\) 1.08033e8 + 3.39225e8i 0.331734 + 1.04165i
\(689\) −6.78826e7 −0.207540
\(690\) −3.98256e7 8.26987e7i −0.121231 0.251739i
\(691\) −1.58158e8 + 3.28419e8i −0.479356 + 0.995393i 0.511350 + 0.859373i \(0.329146\pi\)
−0.990706 + 0.136021i \(0.956569\pi\)
\(692\) 2.70874e7 3.39665e7i 0.0817426 0.102502i
\(693\) −8.34743e8 1.90525e8i −2.50815 0.572468i
\(694\) −1.87768e8 −0.561751
\(695\) 5.67633e8i 1.69088i
\(696\) 4.89585e7 + 1.11745e7i 0.145211 + 0.0331435i
\(697\) 9.12381e7 + 1.14409e8i 0.269450 + 0.337879i
\(698\) −9.55556e7 4.18657e8i −0.280989 1.23110i
\(699\) −1.25026e7 1.56778e7i −0.0366074 0.0459043i
\(700\) −3.88562e7 8.06858e7i −0.113284 0.235236i
\(701\) −1.33926e8 + 5.86768e8i −0.388786 + 1.70338i 0.280061 + 0.959982i \(0.409645\pi\)
−0.668847 + 0.743400i \(0.733212\pi\)
\(702\) −6.34175e7 + 3.05402e7i −0.183315 + 0.0882798i
\(703\) −2.83786e8 + 3.55856e8i −0.816817 + 1.02426i
\(704\) 1.07227e8 + 4.69791e8i 0.307316 + 1.34644i
\(705\) −2.83969e7 1.24415e8i −0.0810406 0.355062i
\(706\) −1.64743e8 + 3.42092e8i −0.468157 + 0.972139i
\(707\) −7.43803e8 5.93163e8i −2.10475 1.67848i
\(708\) −4.28948e6 + 3.42075e6i −0.0120866 + 0.00963876i
\(709\) 4.13394e8 + 1.99080e8i 1.15991 + 0.558584i 0.911997 0.410197i \(-0.134540\pi\)
0.247916 + 0.968782i \(0.420254\pi\)
\(710\) −8.64649e7 + 1.79546e8i −0.241582 + 0.501650i
\(711\) 3.12568e8 + 3.91948e8i 0.869633 + 1.09049i
\(712\) −1.42310e8 + 1.78451e8i −0.394272 + 0.494401i
\(713\) −2.09788e8 1.01028e8i −0.578777 0.278724i
\(714\) −1.18438e8 + 2.70326e7i −0.325383 + 0.0742666i
\(715\) 3.66211e8 8.35854e7i 1.00188 0.228672i
\(716\) −2.35531e7 1.87830e7i −0.0641666 0.0511712i
\(717\) 5.13150e6 + 1.06557e7i 0.0139215 + 0.0289084i
\(718\) 4.62935e8 + 1.05662e8i 1.25068 + 0.285460i
\(719\) −1.32529e8 + 6.38228e7i −0.356554 + 0.171707i −0.603582 0.797301i \(-0.706260\pi\)
0.247028 + 0.969008i \(0.420546\pi\)
\(720\) −4.70757e8 + 3.75416e8i −1.26124 + 1.00581i
\(721\) −4.41702e8 + 1.00815e8i −1.17848 + 0.268981i
\(722\) 1.18317e8 9.43543e7i 0.314365 0.250698i
\(723\) 2.11835e7 9.28110e7i 0.0560509 0.245575i
\(724\) 3.27036e7 0.0861746
\(725\) 3.65138e8i 0.958170i
\(726\) 3.19039e7 1.39780e8i 0.0833745 0.365288i
\(727\) 4.44181e8 + 3.54223e8i 1.15600 + 0.921877i 0.997850 0.0655385i \(-0.0208765\pi\)
0.158147 + 0.987416i \(0.449448\pi\)
\(728\) −2.35599e8 1.13458e8i −0.610631 0.294064i
\(729\) −2.34552e8 + 1.12954e8i −0.605420 + 0.291555i
\(730\) 3.58673e8i 0.921998i
\(731\) −9.08461e7 2.85259e8i −0.232570 0.730277i
\(732\) 7.57848e6 0.0193219
\(733\) −5.91735e7 1.22875e8i −0.150250 0.311998i 0.812236 0.583329i \(-0.198250\pi\)
−0.962486 + 0.271332i \(0.912536\pi\)
\(734\) −3.21845e7 + 6.68318e7i −0.0813877 + 0.169003i
\(735\) −1.85054e8 + 2.32051e8i −0.466055 + 0.584414i
\(736\) 5.71152e7 + 1.30362e7i 0.143258 + 0.0326977i
\(737\) 8.32264e8 2.07902
\(738\) 2.24479e8i 0.558479i
\(739\) −3.76116e7 8.58459e6i −0.0931940 0.0212709i 0.175670 0.984449i \(-0.443791\pi\)
−0.268864 + 0.963178i \(0.586648\pi\)
\(740\) 4.58389e7 + 5.74801e7i 0.113120 + 0.141848i
\(741\) 1.06120e7 + 4.64943e7i 0.0260822 + 0.114273i
\(742\) −2.30934e8 2.89582e8i −0.565296 0.708859i
\(743\) −6.77621e7 1.40710e8i −0.165204 0.343050i 0.801889 0.597473i \(-0.203829\pi\)
−0.967093 + 0.254423i \(0.918114\pi\)
\(744\) 1.87230e7 8.20310e7i 0.0454629 0.199186i
\(745\) 3.81048e8 1.83503e8i 0.921534 0.443787i
\(746\) −4.40630e8 + 5.52533e8i −1.06135 + 1.33089i
\(747\) −1.18316e8 5.18375e8i −0.283845 1.24360i
\(748\) 1.17122e7 + 5.13146e7i 0.0279856 + 0.122613i
\(749\) 2.81031e8 5.83567e8i 0.668820 1.38882i
\(750\) −5.85868e7 4.67214e7i −0.138872 0.110747i
\(751\) −1.49971e8 + 1.19598e8i −0.354070 + 0.282361i −0.784330 0.620344i \(-0.786993\pi\)
0.430260 + 0.902705i \(0.358422\pi\)
\(752\) 4.06765e8 + 1.95888e8i 0.956512 + 0.460632i
\(753\) −2.02230e7 + 4.19934e7i −0.0473652 + 0.0983549i
\(754\) 7.71768e7 + 9.67766e7i 0.180042 + 0.225765i
\(755\) −7.04534e8 + 8.83457e8i −1.63705 + 2.05279i
\(756\) −3.26027e7 1.57006e7i −0.0754551 0.0363372i
\(757\) −6.17672e8