Properties

Label 19.7.f.a.3.3
Level $19$
Weight $7$
Character 19.3
Analytic conductor $4.371$
Analytic rank $0$
Dimension $54$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 19 \)
Weight: \( k \) \(=\) \( 7 \)
Character orbit: \([\chi]\) \(=\) 19.f (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.37102758878\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 3.3
Character \(\chi\) \(=\) 19.3
Dual form 19.7.f.a.13.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-4.60931 + 5.49316i) q^{2} +(16.2253 + 44.5787i) q^{3} +(2.18441 + 12.3884i) q^{4} +(17.5596 - 99.5852i) q^{5} +(-319.665 - 116.349i) q^{6} +(137.474 + 238.111i) q^{7} +(-475.567 - 274.569i) q^{8} +(-1165.55 + 978.015i) q^{9} +O(q^{10})\) \(q+(-4.60931 + 5.49316i) q^{2} +(16.2253 + 44.5787i) q^{3} +(2.18441 + 12.3884i) q^{4} +(17.5596 - 99.5852i) q^{5} +(-319.665 - 116.349i) q^{6} +(137.474 + 238.111i) q^{7} +(-475.567 - 274.569i) q^{8} +(-1165.55 + 978.015i) q^{9} +(466.100 + 555.476i) q^{10} +(643.213 - 1114.08i) q^{11} +(-516.817 + 298.385i) q^{12} +(203.945 - 560.334i) q^{13} +(-1941.64 - 342.364i) q^{14} +(4724.29 - 833.019i) q^{15} +(2943.74 - 1071.43i) q^{16} +(6959.90 + 5840.05i) q^{17} -10910.5i q^{18} +(-6476.59 + 2258.25i) q^{19} +1272.06 q^{20} +(-8384.14 + 9991.83i) q^{21} +(3155.03 + 8668.39i) q^{22} +(-471.391 - 2673.39i) q^{23} +(4523.69 - 25655.1i) q^{24} +(5073.82 + 1846.72i) q^{25} +(2137.96 + 3703.05i) q^{26} +(-32559.9 - 18798.5i) q^{27} +(-2649.53 + 2223.22i) q^{28} +(18452.8 + 21991.2i) q^{29} +(-17199.8 + 29790.9i) q^{30} +(-21142.8 + 12206.8i) q^{31} +(4337.17 - 11916.3i) q^{32} +(60100.4 + 10597.3i) q^{33} +(-64160.6 + 11313.2i) q^{34} +(26126.4 - 9509.22i) q^{35} +(-14662.1 - 12303.0i) q^{36} +33454.5i q^{37} +(17447.7 - 45985.9i) q^{38} +28288.0 q^{39} +(-35693.7 + 42538.1i) q^{40} +(-21799.0 - 59892.2i) q^{41} +(-16241.6 - 92110.8i) q^{42} +(22805.3 - 129335. i) q^{43} +(15206.7 + 5534.79i) q^{44} +(76929.2 + 133245. i) q^{45} +(16858.1 + 9733.05i) q^{46} +(109376. - 91777.7i) q^{47} +(95526.3 + 113844. i) q^{48} +(21026.5 - 36418.9i) q^{49} +(-33531.1 + 19359.2i) q^{50} +(-147415. + 405020. i) q^{51} +(7387.16 + 1302.56i) q^{52} +(-147921. + 26082.5i) q^{53} +(253341. - 92208.8i) q^{54} +(-99651.0 - 83617.1i) q^{55} -150984. i q^{56} +(-205755. - 252077. i) q^{57} -205856. q^{58} +(95152.1 - 113398. i) q^{59} +(20639.6 + 56706.9i) q^{60} +(54423.6 + 308651. i) q^{61} +(30399.7 - 172405. i) q^{62} +(-393109. - 143080. i) q^{63} +(145712. + 252380. i) q^{64} +(-52219.8 - 30149.1i) q^{65} +(-335234. + 281295. i) q^{66} +(-57020.2 - 67954.0i) q^{67} +(-57145.8 + 98979.4i) q^{68} +(111528. - 64390.6i) q^{69} +(-68188.7 + 187347. i) q^{70} +(315619. + 55652.2i) q^{71} +(822830. - 145087. i) q^{72} +(222126. - 80847.1i) q^{73} +(-183771. - 154202. i) q^{74} +256148. i q^{75} +(-42123.7 - 75301.8i) q^{76} +353699. q^{77} +(-130388. + 155391. i) q^{78} +(-16302.8 - 44791.7i) q^{79} +(-55008.2 - 311967. i) q^{80} +(117108. - 664151. i) q^{81} +(429475. + 156316. i) q^{82} +(-379501. - 657315. i) q^{83} +(-142098. - 82040.1i) q^{84} +(703795. - 590554. i) q^{85} +(605343. + 721419. i) q^{86} +(-680937. + 1.17942e6i) q^{87} +(-611781. + 353212. i) q^{88} +(246464. - 677154. i) q^{89} +(-1.08653e6 - 191584. i) q^{90} +(161459. - 28469.6i) q^{91} +(32089.4 - 11679.6i) q^{92} +(-887210. - 744458. i) q^{93} +1.02385e6i q^{94} +(111162. + 684626. i) q^{95} +601584. q^{96} +(25373.0 - 30238.4i) q^{97} +(103137. + 283367. i) q^{98} +(339886. + 1.92759e6i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} + O(q^{10}) \) \( 54q - 6q^{2} - 36q^{3} + 192q^{4} - 6q^{5} + 720q^{6} - 219q^{7} - 9q^{8} - 2076q^{9} - 1689q^{10} + 1677q^{11} - 9q^{12} - 10506q^{13} + 6105q^{14} + 24138q^{15} + 23760q^{16} - 3438q^{17} - 30918q^{19} - 76650q^{20} - 59055q^{21} + 20490q^{22} + 42498q^{23} + 31848q^{24} + 7914q^{25} + 109989q^{26} + 124821q^{27} - 109476q^{28} - 27726q^{29} - 153516q^{30} - 30789q^{31} - 114375q^{32} + 126039q^{33} + 359796q^{34} + 160161q^{35} + 184995q^{36} - 245244q^{38} - 390564q^{39} - 372678q^{40} - 24708q^{41} - 244893q^{42} - 30726q^{43} - 301419q^{44} + 293037q^{45} + 69246q^{46} - 71454q^{47} + 1024041q^{48} - 350346q^{49} - 104148q^{50} - 180672q^{51} + 921801q^{52} + 822558q^{53} + 308469q^{54} + 623517q^{55} - 17862q^{57} - 1150644q^{58} - 463812q^{59} - 908130q^{60} - 583698q^{61} - 429732q^{62} - 2576043q^{63} - 328293q^{64} - 1056789q^{65} - 1038756q^{66} + 1120464q^{67} + 717270q^{68} + 3771567q^{69} + 4845345q^{70} + 94494q^{71} + 2351634q^{72} + 950850q^{73} + 55149q^{74} - 218814q^{76} - 343086q^{77} + 1833471q^{78} - 4936494q^{79} - 9642039q^{80} - 769551q^{81} - 8627793q^{82} - 412131q^{83} - 3125205q^{84} - 896910q^{85} + 8878236q^{86} + 610737q^{87} + 13604751q^{88} + 6653022q^{89} + 3142734q^{90} + 3409821q^{91} - 3043740q^{92} - 816393q^{93} + 4839186q^{95} - 5667138q^{96} - 853656q^{97} - 17679315q^{98} - 13991937q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/19\mathbb{Z}\right)^\times\).

\(n\) \(2\)
\(\chi(n)\) \(e\left(\frac{13}{18}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −4.60931 + 5.49316i −0.576163 + 0.686645i −0.972884 0.231295i \(-0.925704\pi\)
0.396721 + 0.917939i \(0.370148\pi\)
\(3\) 16.2253 + 44.5787i 0.600938 + 1.65106i 0.749379 + 0.662142i \(0.230352\pi\)
−0.148441 + 0.988921i \(0.547426\pi\)
\(4\) 2.18441 + 12.3884i 0.0341315 + 0.193569i
\(5\) 17.5596 99.5852i 0.140476 0.796682i −0.830412 0.557150i \(-0.811895\pi\)
0.970889 0.239532i \(-0.0769940\pi\)
\(6\) −319.665 116.349i −1.47993 0.538651i
\(7\) 137.474 + 238.111i 0.400798 + 0.694202i 0.993822 0.110982i \(-0.0353996\pi\)
−0.593024 + 0.805184i \(0.702066\pi\)
\(8\) −475.567 274.569i −0.928841 0.536267i
\(9\) −1165.55 + 978.015i −1.59884 + 1.34158i
\(10\) 466.100 + 555.476i 0.466100 + 0.555476i
\(11\) 643.213 1114.08i 0.483255 0.837022i −0.516560 0.856251i \(-0.672788\pi\)
0.999815 + 0.0192286i \(0.00612103\pi\)
\(12\) −516.817 + 298.385i −0.299084 + 0.172676i
\(13\) 203.945 560.334i 0.0928288 0.255045i −0.884585 0.466379i \(-0.845558\pi\)
0.977414 + 0.211334i \(0.0677806\pi\)
\(14\) −1941.64 342.364i −0.707595 0.124768i
\(15\) 4724.29 833.019i 1.39979 0.246821i
\(16\) 2943.74 1071.43i 0.718687 0.261581i
\(17\) 6959.90 + 5840.05i 1.41663 + 1.18869i 0.953117 + 0.302603i \(0.0978558\pi\)
0.463513 + 0.886090i \(0.346589\pi\)
\(18\) 10910.5i 1.87080i
\(19\) −6476.59 + 2258.25i −0.944247 + 0.329239i
\(20\) 1272.06 0.159008
\(21\) −8384.14 + 9991.83i −0.905317 + 1.07892i
\(22\) 3155.03 + 8668.39i 0.296303 + 0.814086i
\(23\) −471.391 2673.39i −0.0387434 0.219725i 0.959289 0.282427i \(-0.0911394\pi\)
−0.998032 + 0.0627019i \(0.980028\pi\)
\(24\) 4523.69 25655.1i 0.327234 1.85584i
\(25\) 5073.82 + 1846.72i 0.324725 + 0.118190i
\(26\) 2137.96 + 3703.05i 0.121641 + 0.210688i
\(27\) −32559.9 18798.5i −1.65421 0.955061i
\(28\) −2649.53 + 2223.22i −0.120696 + 0.101276i
\(29\) 18452.8 + 21991.2i 0.756605 + 0.901686i 0.997628 0.0688330i \(-0.0219276\pi\)
−0.241024 + 0.970519i \(0.577483\pi\)
\(30\) −17199.8 + 29790.9i −0.637029 + 1.10337i
\(31\) −21142.8 + 12206.8i −0.709703 + 0.409747i −0.810951 0.585114i \(-0.801050\pi\)
0.101248 + 0.994861i \(0.467716\pi\)
\(32\) 4337.17 11916.3i 0.132360 0.363656i
\(33\) 60100.4 + 10597.3i 1.67238 + 0.294886i
\(34\) −64160.6 + 11313.2i −1.63242 + 0.287840i
\(35\) 26126.4 9509.22i 0.609361 0.221789i
\(36\) −14662.1 12303.0i −0.314260 0.263696i
\(37\) 33454.5i 0.660465i 0.943900 + 0.330232i \(0.107127\pi\)
−0.943900 + 0.330232i \(0.892873\pi\)
\(38\) 17447.7 45985.9i 0.317970 0.838057i
\(39\) 28288.0 0.476880
\(40\) −35693.7 + 42538.1i −0.557714 + 0.664658i
\(41\) −21799.0 59892.2i −0.316289 0.868998i −0.991351 0.131237i \(-0.958105\pi\)
0.675062 0.737761i \(-0.264117\pi\)
\(42\) −16241.6 92110.8i −0.219221 1.24326i
\(43\) 22805.3 129335.i 0.286834 1.62672i −0.411825 0.911263i \(-0.635109\pi\)
0.698660 0.715454i \(-0.253780\pi\)
\(44\) 15206.7 + 5534.79i 0.178516 + 0.0649745i
\(45\) 76929.2 + 133245.i 0.844216 + 1.46223i
\(46\) 16858.1 + 9733.05i 0.173195 + 0.0999943i
\(47\) 109376. 91777.7i 1.05349 0.883982i 0.0600325 0.998196i \(-0.480880\pi\)
0.993456 + 0.114215i \(0.0364351\pi\)
\(48\) 95526.3 + 113844.i 0.863772 + 1.02940i
\(49\) 21026.5 36418.9i 0.178722 0.309555i
\(50\) −33531.1 + 19359.2i −0.268249 + 0.154874i
\(51\) −147415. + 405020.i −1.11130 + 3.05328i
\(52\) 7387.16 + 1302.56i 0.0525373 + 0.00926374i
\(53\) −147921. + 26082.5i −0.993581 + 0.175195i −0.646725 0.762723i \(-0.723862\pi\)
−0.346856 + 0.937918i \(0.612751\pi\)
\(54\) 253341. 92208.8i 1.60888 0.585586i
\(55\) −99651.0 83617.1i −0.598954 0.502582i
\(56\) 150984.i 0.859738i
\(57\) −205755. 252077.i −1.11103 1.36116i
\(58\) −205856. −1.05507
\(59\) 95152.1 113398.i 0.463300 0.552140i −0.482919 0.875665i \(-0.660424\pi\)
0.946220 + 0.323525i \(0.104868\pi\)
\(60\) 20639.6 + 56706.9i 0.0955537 + 0.262532i
\(61\) 54423.6 + 308651.i 0.239772 + 1.35981i 0.832328 + 0.554283i \(0.187008\pi\)
−0.592557 + 0.805529i \(0.701881\pi\)
\(62\) 30399.7 172405.i 0.127554 0.723395i
\(63\) −393109. 143080.i −1.57214 0.572213i
\(64\) 145712. + 252380.i 0.555847 + 0.962755i
\(65\) −52219.8 30149.1i −0.190150 0.109783i
\(66\) −335234. + 281295.i −1.16605 + 0.978430i
\(67\) −57020.2 67954.0i −0.189585 0.225939i 0.662876 0.748729i \(-0.269336\pi\)
−0.852461 + 0.522790i \(0.824891\pi\)
\(68\) −57145.8 + 98979.4i −0.181743 + 0.314788i
\(69\) 111528. 64390.6i 0.339497 0.196009i
\(70\) −68188.7 + 187347.i −0.198801 + 0.546201i
\(71\) 315619. + 55652.2i 0.881837 + 0.155492i 0.596190 0.802843i \(-0.296680\pi\)
0.285647 + 0.958335i \(0.407792\pi\)
\(72\) 822830. 145087.i 2.20451 0.388715i
\(73\) 222126. 80847.1i 0.570992 0.207824i −0.0403568 0.999185i \(-0.512849\pi\)
0.611349 + 0.791361i \(0.290627\pi\)
\(74\) −183771. 154202.i −0.453505 0.380536i
\(75\) 256148.i 0.607166i
\(76\) −42123.7 75301.8i −0.0959590 0.171540i
\(77\) 353699. 0.774751
\(78\) −130388. + 155391.i −0.274761 + 0.327447i
\(79\) −16302.8 44791.7i −0.0330660 0.0908481i 0.922061 0.387044i \(-0.126504\pi\)
−0.955127 + 0.296196i \(0.904282\pi\)
\(80\) −55008.2 311967.i −0.107438 0.609311i
\(81\) 117108. 664151.i 0.220359 1.24972i
\(82\) 429475. + 156316.i 0.778927 + 0.283506i
\(83\) −379501. 657315.i −0.663711 1.14958i −0.979633 0.200795i \(-0.935647\pi\)
0.315923 0.948785i \(-0.397686\pi\)
\(84\) −142098. 82040.1i −0.239745 0.138417i
\(85\) 703795. 590554.i 1.14601 0.961619i
\(86\) 605343. + 721419.i 0.951713 + 1.13421i
\(87\) −680937. + 1.17942e6i −1.03407 + 1.79106i
\(88\) −611781. + 353212.i −0.897734 + 0.518307i
\(89\) 246464. 677154.i 0.349609 0.960544i −0.632884 0.774247i \(-0.718129\pi\)
0.982493 0.186297i \(-0.0596488\pi\)
\(90\) −1.08653e6 191584.i −1.49044 0.262804i
\(91\) 161459. 28469.6i 0.214259 0.0377796i
\(92\) 32089.4 11679.6i 0.0412096 0.0149991i
\(93\) −887210. 744458.i −1.10301 0.925532i
\(94\) 1.02385e6i 1.23269i
\(95\) 111162. + 684626.i 0.129654 + 0.798514i
\(96\) 601584. 0.679959
\(97\) 25373.0 30238.4i 0.0278008 0.0331317i −0.751965 0.659203i \(-0.770894\pi\)
0.779766 + 0.626071i \(0.215338\pi\)
\(98\) 103137. + 283367.i 0.109582 + 0.301073i
\(99\) 339886. + 1.92759e6i 0.350290 + 1.98659i
\(100\) −11794.6 + 66890.7i −0.0117946 + 0.0668907i
\(101\) −777881. 283125.i −0.755003 0.274799i −0.0642938 0.997931i \(-0.520479\pi\)
−0.690710 + 0.723132i \(0.742702\pi\)
\(102\) −1.54536e6 2.67664e6i −1.45622 2.52225i
\(103\) −156319. 90250.9i −0.143054 0.0825923i 0.426765 0.904363i \(-0.359653\pi\)
−0.569819 + 0.821770i \(0.692987\pi\)
\(104\) −250840. + 210479.i −0.222995 + 0.187115i
\(105\) 847817. + 1.01039e6i 0.732376 + 0.872812i
\(106\) 538539. 932777.i 0.452168 0.783178i
\(107\) 960151. 554343.i 0.783769 0.452509i −0.0539954 0.998541i \(-0.517196\pi\)
0.837764 + 0.546032i \(0.183862\pi\)
\(108\) 161759. 444430.i 0.128410 0.352803i
\(109\) −1.22859e6 216634.i −0.948700 0.167281i −0.322173 0.946681i \(-0.604413\pi\)
−0.626527 + 0.779400i \(0.715524\pi\)
\(110\) 918644. 161982.i 0.690191 0.121699i
\(111\) −1.49136e6 + 542810.i −1.09047 + 0.396898i
\(112\) 659808. + 553645.i 0.469638 + 0.394073i
\(113\) 46727.6i 0.0323845i 0.999869 + 0.0161923i \(0.00515439\pi\)
−0.999869 + 0.0161923i \(0.994846\pi\)
\(114\) 2.33308e6 + 31658.4i 1.57477 + 0.0213685i
\(115\) −274508. −0.180493
\(116\) −232128. + 276640.i −0.148715 + 0.177231i
\(117\) 310307. + 852560.i 0.193746 + 0.532314i
\(118\) 184327. + 1.04537e6i 0.112187 + 0.636245i
\(119\) −433780. + 2.46009e6i −0.257412 + 1.45985i
\(120\) −2.47543e6 900984.i −1.43254 0.521403i
\(121\) 58335.8 + 101041.i 0.0329290 + 0.0570347i
\(122\) −1.94633e6 1.12371e6i −1.07185 0.618836i
\(123\) 2.31622e6 1.94354e6i 1.24470 1.04443i
\(124\) −197407. 235261.i −0.103538 0.123391i
\(125\) 1.06301e6 1.84119e6i 0.544262 0.942689i
\(126\) 2.59792e6 1.49991e6i 1.29872 0.749815i
\(127\) −630628. + 1.73264e6i −0.307866 + 0.845855i 0.685206 + 0.728349i \(0.259712\pi\)
−0.993072 + 0.117506i \(0.962510\pi\)
\(128\) −1.25874e6 221950.i −0.600213 0.105834i
\(129\) 6.13563e6 1.08188e6i 2.85818 0.503975i
\(130\) 406311. 147885.i 0.184939 0.0673123i
\(131\) −1.39687e6 1.17211e6i −0.621358 0.521381i 0.276872 0.960907i \(-0.410702\pi\)
−0.898230 + 0.439526i \(0.855147\pi\)
\(132\) 767699.i 0.333787i
\(133\) −1.42808e6 1.23170e6i −0.607011 0.523540i
\(134\) 636105. 0.264372
\(135\) −2.44379e6 + 2.91239e6i −0.993258 + 1.18372i
\(136\) −1.70640e6 4.68830e6i −0.678367 1.86380i
\(137\) 394360. + 2.23652e6i 0.153367 + 0.869785i 0.960264 + 0.279093i \(0.0900339\pi\)
−0.806897 + 0.590692i \(0.798855\pi\)
\(138\) −160358. + 909436.i −0.0610174 + 0.346047i
\(139\) −1.86179e6 677635.i −0.693243 0.252320i −0.0287201 0.999587i \(-0.509143\pi\)
−0.664523 + 0.747268i \(0.731365\pi\)
\(140\) 174875. + 302892.i 0.0637300 + 0.110384i
\(141\) 5.86599e6 + 3.38673e6i 2.09259 + 1.20816i
\(142\) −1.76049e6 + 1.47723e6i −0.614849 + 0.515920i
\(143\) −493075. 587624.i −0.168618 0.200952i
\(144\) −2.38321e6 + 4.12784e6i −0.798131 + 1.38240i
\(145\) 2.51402e6 1.45147e6i 0.824642 0.476107i
\(146\) −579739. + 1.59282e6i −0.186283 + 0.511809i
\(147\) 1.96467e6 + 346424.i 0.618496 + 0.109058i
\(148\) −414449. + 73078.6i −0.127846 + 0.0225426i
\(149\) −1.28997e6 + 469511.i −0.389961 + 0.141934i −0.529557 0.848274i \(-0.677642\pi\)
0.139596 + 0.990209i \(0.455420\pi\)
\(150\) −1.40706e6 1.18066e6i −0.416907 0.349827i
\(151\) 3.55515e6i 1.03259i −0.856412 0.516294i \(-0.827311\pi\)
0.856412 0.516294i \(-0.172689\pi\)
\(152\) 3.70009e6 + 704319.i 1.05361 + 0.200557i
\(153\) −1.38238e7 −3.85969
\(154\) −1.63031e6 + 1.94293e6i −0.446383 + 0.531978i
\(155\) 844357. + 2.31985e6i 0.226741 + 0.622967i
\(156\) 61792.8 + 350444.i 0.0162766 + 0.0923093i
\(157\) 457453. 2.59435e6i 0.118208 0.670393i −0.866903 0.498476i \(-0.833893\pi\)
0.985112 0.171916i \(-0.0549958\pi\)
\(158\) 321192. + 116904.i 0.0814318 + 0.0296387i
\(159\) −3.56280e6 6.17094e6i −0.886338 1.53518i
\(160\) −1.11053e6 641163.i −0.271125 0.156534i
\(161\) 571761. 479764.i 0.137005 0.114961i
\(162\) 3.10850e6 + 3.70457e6i 0.731149 + 0.871350i
\(163\) −216485. + 374963.i −0.0499880 + 0.0865817i −0.889937 0.456084i \(-0.849252\pi\)
0.839949 + 0.542666i \(0.182585\pi\)
\(164\) 694352. 400885.i 0.157416 0.0908841i
\(165\) 2.11067e6 5.79903e6i 0.469861 1.29093i
\(166\) 5.35997e6 + 945108.i 1.17176 + 0.206613i
\(167\) −7.60127e6 + 1.34031e6i −1.63206 + 0.287777i −0.913242 0.407418i \(-0.866429\pi\)
−0.718821 + 0.695195i \(0.755318\pi\)
\(168\) 6.73066e6 2.44976e6i 1.41948 0.516649i
\(169\) 3.42517e6 + 2.87406e6i 0.709614 + 0.595437i
\(170\) 6.58810e6i 1.34095i
\(171\) 5.34020e6 8.96631e6i 1.06800 1.79319i
\(172\) 1.65208e6 0.324672
\(173\) −4.80495e6 + 5.72632e6i −0.928006 + 1.10595i 0.0661288 + 0.997811i \(0.478935\pi\)
−0.994135 + 0.108144i \(0.965509\pi\)
\(174\) −3.34008e6 9.17679e6i −0.634029 1.74198i
\(175\) 257792. + 1.46201e6i 0.0481011 + 0.272795i
\(176\) 699791. 3.96871e6i 0.128360 0.727967i
\(177\) 6.59900e6 + 2.40184e6i 1.19003 + 0.433136i
\(178\) 2.58368e6 + 4.47507e6i 0.458120 + 0.793487i
\(179\) 2.44786e6 + 1.41327e6i 0.426803 + 0.246415i 0.697984 0.716114i \(-0.254081\pi\)
−0.271181 + 0.962528i \(0.587414\pi\)
\(180\) −1.48266e6 + 1.24410e6i −0.254228 + 0.213322i
\(181\) 4.40109e6 + 5.24501e6i 0.742206 + 0.884526i 0.996585 0.0825783i \(-0.0263155\pi\)
−0.254379 + 0.967105i \(0.581871\pi\)
\(182\) −587826. + 1.01814e6i −0.0975068 + 0.168887i
\(183\) −1.28762e7 + 7.43410e6i −2.10105 + 1.21304i
\(184\) −509851. + 1.40080e6i −0.0818446 + 0.224866i
\(185\) 3.33158e6 + 587447.i 0.526180 + 0.0927798i
\(186\) 8.17885e6 1.44215e6i 1.27102 0.224116i
\(187\) 1.09830e7 3.99747e6i 1.67956 0.611309i
\(188\) 1.37590e6 + 1.15452e6i 0.207069 + 0.173751i
\(189\) 1.03372e7i 1.53115i
\(190\) −4.27314e6 2.54502e6i −0.622997 0.371048i
\(191\) −689249. −0.0989181 −0.0494591 0.998776i \(-0.515750\pi\)
−0.0494591 + 0.998776i \(0.515750\pi\)
\(192\) −8.88657e6 + 1.05906e7i −1.25554 + 1.49629i
\(193\) −2.62536e6 7.21311e6i −0.365188 1.00335i −0.977167 0.212472i \(-0.931849\pi\)
0.611979 0.790874i \(-0.290373\pi\)
\(194\) 49152.2 + 278756.i 0.00673190 + 0.0381785i
\(195\) 496725. 2.81707e6i 0.0669904 0.379921i
\(196\) 497103. + 180931.i 0.0660205 + 0.0240295i
\(197\) −2.46445e6 4.26856e6i −0.322346 0.558319i 0.658626 0.752471i \(-0.271138\pi\)
−0.980972 + 0.194151i \(0.937805\pi\)
\(198\) −1.21552e7 7.01779e6i −1.56591 0.904076i
\(199\) 368261. 309008.i 0.0467301 0.0392112i −0.619124 0.785294i \(-0.712512\pi\)
0.665854 + 0.746082i \(0.268068\pi\)
\(200\) −1.90589e6 2.27135e6i −0.238236 0.283919i
\(201\) 2.10413e6 3.64446e6i 0.259110 0.448792i
\(202\) 5.14074e6 2.96801e6i 0.623694 0.360090i
\(203\) −2.69958e6 + 7.41705e6i −0.322707 + 0.886631i
\(204\) −5.33958e6 941512.i −0.628951 0.110901i
\(205\) −6.34716e6 + 1.11918e6i −0.736746 + 0.129908i
\(206\) 1.21628e6 442691.i 0.139134 0.0506407i
\(207\) 3.16405e6 + 2.65495e6i 0.356724 + 0.299327i
\(208\) 1.86799e6i 0.207580i
\(209\) −1.64996e6 + 8.66795e6i −0.180732 + 0.949462i
\(210\) −9.45807e6 −1.02128
\(211\) −1.96792e6 + 2.34528e6i −0.209489 + 0.249659i −0.860550 0.509367i \(-0.829880\pi\)
0.651061 + 0.759025i \(0.274324\pi\)
\(212\) −646243. 1.77554e6i −0.0678248 0.186347i
\(213\) 2.64012e6 + 1.49729e7i 0.273203 + 1.54941i
\(214\) −1.38053e6 + 7.82939e6i −0.140866 + 0.798890i
\(215\) −1.24794e7 4.54214e6i −1.25568 0.457031i
\(216\) 1.03229e7 + 1.78798e7i 1.02433 + 1.77420i
\(217\) −5.81315e6 3.35622e6i −0.568895 0.328452i
\(218\) 6.85297e6 5.75032e6i 0.661469 0.555038i
\(219\) 7.20812e6 + 8.59030e6i 0.686261 + 0.817854i
\(220\) 818206. 1.41717e6i 0.0768413 0.133093i
\(221\) 4.69182e6 2.70882e6i 0.434675 0.250959i
\(222\) 3.89239e6 1.06942e7i 0.355760 0.977443i
\(223\) 1.38990e7 + 2.45076e6i 1.25334 + 0.220997i 0.760623 0.649193i \(-0.224893\pi\)
0.492715 + 0.870191i \(0.336005\pi\)
\(224\) 3.43365e6 605445.i 0.305501 0.0538680i
\(225\) −7.71993e6 + 2.80982e6i −0.677744 + 0.246679i
\(226\) −256682. 215382.i −0.0222367 0.0186588i
\(227\) 3.80904e6i 0.325641i −0.986656 0.162820i \(-0.947941\pi\)
0.986656 0.162820i \(-0.0520591\pi\)
\(228\) 2.67339e6 3.09962e6i 0.225557 0.261519i
\(229\) −829020. −0.0690333 −0.0345166 0.999404i \(-0.510989\pi\)
−0.0345166 + 0.999404i \(0.510989\pi\)
\(230\) 1.26529e6 1.50791e6i 0.103994 0.123935i
\(231\) 5.73888e6 + 1.57675e7i 0.465577 + 1.27916i
\(232\) −2.73745e6 1.55249e7i −0.219221 1.24327i
\(233\) 2.35869e6 1.33768e7i 0.186468 1.05751i −0.737588 0.675251i \(-0.764035\pi\)
0.924055 0.382259i \(-0.124854\pi\)
\(234\) −6.11354e6 2.22515e6i −0.477140 0.173665i
\(235\) −7.21910e6 1.25038e7i −0.556262 0.963474i
\(236\) 1.61267e6 + 931078.i 0.122690 + 0.0708353i
\(237\) 1.73223e6 1.45352e6i 0.130125 0.109188i
\(238\) −1.15142e7 1.37221e7i −0.854090 1.01786i
\(239\) 6.09112e6 1.05501e7i 0.446173 0.772794i −0.551960 0.833870i \(-0.686120\pi\)
0.998133 + 0.0610764i \(0.0194533\pi\)
\(240\) 1.30146e7 7.51396e6i 0.941447 0.543544i
\(241\) −9.44215e6 + 2.59421e7i −0.674559 + 1.85334i −0.181364 + 0.983416i \(0.558051\pi\)
−0.493194 + 0.869919i \(0.664171\pi\)
\(242\) −823919. 145279.i −0.0581351 0.0102508i
\(243\) 4.51534e6 796176.i 0.314682 0.0554869i
\(244\) −3.70482e6 + 1.34845e6i −0.255034 + 0.0928248i
\(245\) −3.25757e6 2.73342e6i −0.221511 0.185870i
\(246\) 2.16817e7i 1.45643i
\(247\) −55493.3 + 4.08961e6i −0.00368256 + 0.271388i
\(248\) 1.34064e7 0.878935
\(249\) 2.31447e7 2.75828e7i 1.49918 1.78665i
\(250\) 5.21420e6 + 1.43259e7i 0.333709 + 0.916857i
\(251\) −1.44186e6 8.17717e6i −0.0911802 0.517109i −0.995851 0.0909977i \(-0.970994\pi\)
0.904671 0.426111i \(-0.140117\pi\)
\(252\) 913824. 5.18256e6i 0.0571033 0.323849i
\(253\) −3.28157e6 1.19439e6i −0.202637 0.0737540i
\(254\) −6.61088e6 1.14504e7i −0.403421 0.698745i
\(255\) 3.77455e7 + 2.17923e7i 2.27638 + 1.31427i
\(256\) −7.26647e6 + 6.09730e6i −0.433116 + 0.363427i
\(257\) −2.32517e6 2.77103e6i −0.136979 0.163246i 0.693194 0.720751i \(-0.256203\pi\)
−0.830173 + 0.557506i \(0.811759\pi\)
\(258\) −2.23381e7 + 3.86907e7i −1.30073 + 2.25293i
\(259\) −7.96591e6 + 4.59912e6i −0.458496 + 0.264713i
\(260\) 259431. 712780.i 0.0147605 0.0405541i
\(261\) −4.30155e7 7.58479e6i −2.41938 0.426601i
\(262\) 1.28772e7 2.27060e6i 0.716007 0.126251i
\(263\) −1.70546e7 + 6.20735e6i −0.937504 + 0.341224i −0.765180 0.643816i \(-0.777350\pi\)
−0.172325 + 0.985040i \(0.555128\pi\)
\(264\) −2.56721e7 2.15414e7i −1.39524 1.17075i
\(265\) 1.51888e7i 0.816178i
\(266\) 1.33484e7 2.16736e6i 0.709223 0.115156i
\(267\) 3.41856e7 1.79601
\(268\) 717288. 854830.i 0.0372640 0.0444095i
\(269\) −235000. 645656.i −0.0120729 0.0331699i 0.933510 0.358552i \(-0.116729\pi\)
−0.945583 + 0.325382i \(0.894507\pi\)
\(270\) −4.73406e6 2.68482e7i −0.240515 1.36403i
\(271\) −3.81678e6 + 2.16461e7i −0.191774 + 1.08760i 0.725165 + 0.688576i \(0.241764\pi\)
−0.916938 + 0.399029i \(0.869347\pi\)
\(272\) 2.67454e7 + 9.73452e6i 1.32905 + 0.483736i
\(273\) 3.88886e6 + 6.73571e6i 0.191133 + 0.331051i
\(274\) −1.41033e7 8.14255e6i −0.685597 0.395830i
\(275\) 5.32094e6 4.46479e6i 0.255853 0.214686i
\(276\) 1.04132e6 + 1.24100e6i 0.0495288 + 0.0590261i
\(277\) 1.37685e7 2.38477e7i 0.647808 1.12204i −0.335838 0.941920i \(-0.609019\pi\)
0.983645 0.180116i \(-0.0576473\pi\)
\(278\) 1.23039e7 7.10366e6i 0.572675 0.330634i
\(279\) 1.27046e7 3.49056e7i 0.584990 1.60725i
\(280\) −1.50358e7 2.65121e6i −0.684938 0.120773i
\(281\) −1.88350e7 + 3.32112e6i −0.848880 + 0.149681i −0.581133 0.813809i \(-0.697390\pi\)
−0.267747 + 0.963489i \(0.586279\pi\)
\(282\) −4.56420e7 + 1.66123e7i −2.03525 + 0.740770i
\(283\) −1.33790e7 1.12263e7i −0.590287 0.495310i 0.298020 0.954560i \(-0.403674\pi\)
−0.888307 + 0.459250i \(0.848118\pi\)
\(284\) 4.03159e6i 0.176004i
\(285\) −2.87161e7 + 1.60637e7i −1.24048 + 0.693924i
\(286\) 5.50065e6 0.235134
\(287\) 1.12642e7 1.34242e7i 0.476492 0.567861i
\(288\) 6.59910e6 + 1.81309e7i 0.276253 + 0.758999i
\(289\) 1.01426e7 + 5.75215e7i 0.420199 + 2.38307i
\(290\) −3.61474e6 + 2.05002e7i −0.148212 + 0.840551i
\(291\) 1.75967e6 + 640468.i 0.0714090 + 0.0259907i
\(292\) 1.48678e6 + 2.57518e6i 0.0597172 + 0.103433i
\(293\) −6.20035e6 3.57977e6i −0.246498 0.142316i 0.371662 0.928368i \(-0.378788\pi\)
−0.618160 + 0.786053i \(0.712121\pi\)
\(294\) −1.09587e7 + 9.19545e6i −0.431239 + 0.361852i
\(295\) −9.62192e6 1.14670e7i −0.374797 0.446665i
\(296\) 9.18556e6 1.59099e7i 0.354185 0.613467i
\(297\) −4.18859e7 + 2.41828e7i −1.59882 + 0.923076i
\(298\) 3.36677e6 9.25014e6i 0.127223 0.349542i
\(299\) −1.59413e6 281088.i −0.0596362 0.0105155i
\(300\) −3.17327e6 + 559534.i −0.117529 + 0.0207235i
\(301\) 3.39314e7 1.23500e7i 1.24423 0.452864i
\(302\) 1.95290e7 + 1.63868e7i 0.709020 + 0.594939i
\(303\) 3.92707e7i 1.41169i
\(304\) −1.66458e7 + 1.35869e7i −0.592495 + 0.483616i
\(305\) 3.16928e7 1.11702
\(306\) 6.37181e7 7.59362e7i 2.22381 2.65024i
\(307\) 3.85393e6 + 1.05886e7i 0.133195 + 0.365951i 0.988304 0.152498i \(-0.0487318\pi\)
−0.855109 + 0.518449i \(0.826510\pi\)
\(308\) 772626. + 4.38178e6i 0.0264434 + 0.149968i
\(309\) 1.48694e6 8.43285e6i 0.0503985 0.285824i
\(310\) −1.66352e7 6.05472e6i −0.558397 0.203240i
\(311\) −1.63816e7 2.83737e7i −0.544596 0.943268i −0.998632 0.0522846i \(-0.983350\pi\)
0.454036 0.890983i \(-0.349984\pi\)
\(312\) −1.34528e7 7.76701e6i −0.442946 0.255735i
\(313\) −1.03532e7 + 8.68741e6i −0.337632 + 0.283307i −0.795801 0.605558i \(-0.792950\pi\)
0.458169 + 0.888865i \(0.348505\pi\)
\(314\) 1.21426e7 + 1.44710e7i 0.392214 + 0.467423i
\(315\) −2.11515e7 + 3.66355e7i −0.676721 + 1.17211i
\(316\) 519286. 299810.i 0.0164568 0.00950134i
\(317\) 868563. 2.38636e6i 0.0272661 0.0749131i −0.925313 0.379205i \(-0.876198\pi\)
0.952579 + 0.304292i \(0.0984198\pi\)
\(318\) 5.03200e7 + 8.87277e6i 1.56480 + 0.275917i
\(319\) 3.63690e7 6.41284e6i 1.12036 0.197551i
\(320\) 2.76920e7 1.00791e7i 0.845093 0.307589i
\(321\) 4.02907e7 + 3.38079e7i 1.21812 + 1.02212i
\(322\) 5.35215e6i 0.160310i
\(323\) −5.82647e7 2.21064e7i −1.72901 0.656010i
\(324\) 8.48361e6 0.249428
\(325\) 2.06956e6 2.46641e6i 0.0602876 0.0718480i
\(326\) −1.06189e6 2.91751e6i −0.0306496 0.0842092i
\(327\) −1.02771e7 5.82841e7i −0.293917 1.66689i
\(328\) −6.07765e6 + 3.44680e7i −0.172232 + 0.976776i
\(329\) 3.68897e7 + 1.34267e7i 1.03590 + 0.377036i
\(330\) 2.21262e7 + 3.83237e7i 0.615695 + 1.06641i
\(331\) −3.05075e7 1.76135e7i −0.841246 0.485694i 0.0164413 0.999865i \(-0.494766\pi\)
−0.857688 + 0.514171i \(0.828100\pi\)
\(332\) 7.31412e6 6.13727e6i 0.199870 0.167711i
\(333\) −3.27190e7 3.89930e7i −0.886069 1.05598i
\(334\) 2.76741e7 4.79329e7i 0.742734 1.28645i
\(335\) −7.76846e6 + 4.48512e6i −0.206633 + 0.119300i
\(336\) −1.39752e7 + 3.83964e7i −0.368416 + 1.01222i
\(337\) −3.48986e7 6.15357e6i −0.911840 0.160782i −0.302001 0.953308i \(-0.597655\pi\)
−0.609839 + 0.792525i \(0.708766\pi\)
\(338\) −3.15753e7 + 5.56758e6i −0.817706 + 0.144184i
\(339\) −2.08305e6 + 758170.i −0.0534689 + 0.0194611i
\(340\) 8.85342e6 + 7.42891e6i 0.225255 + 0.189011i
\(341\) 3.14062e7i 0.792050i
\(342\) 2.46387e7 + 7.06630e7i 0.615942 + 1.76650i
\(343\) 4.39096e7 1.08812
\(344\) −4.63569e7 + 5.52460e7i −1.13878 + 1.35714i
\(345\) −4.45397e6 1.22372e7i −0.108465 0.298006i
\(346\) −9.30808e6 5.27887e7i −0.224715 1.27442i
\(347\) 2.02113e6 1.14624e7i 0.0483732 0.274338i −0.951022 0.309125i \(-0.899964\pi\)
0.999395 + 0.0347864i \(0.0110751\pi\)
\(348\) −1.60986e7 5.85941e6i −0.381988 0.139032i
\(349\) 2.74820e7 + 4.76003e7i 0.646506 + 1.11978i 0.983951 + 0.178436i \(0.0571038\pi\)
−0.337445 + 0.941345i \(0.609563\pi\)
\(350\) −9.21930e6 5.32276e6i −0.215027 0.124146i
\(351\) −1.71739e7 + 1.44106e7i −0.397143 + 0.333242i
\(352\) −1.04859e7 1.24966e7i −0.240425 0.286527i
\(353\) −1.22437e7 + 2.12068e7i −0.278349 + 0.482115i −0.970975 0.239183i \(-0.923121\pi\)
0.692626 + 0.721297i \(0.256454\pi\)
\(354\) −4.36105e7 + 2.51785e7i −0.983063 + 0.567572i
\(355\) 1.10843e7 3.04538e7i 0.247755 0.680700i
\(356\) 8.92725e6 + 1.57412e6i 0.197864 + 0.0348888i
\(357\) −1.16706e8 + 2.05784e7i −2.56500 + 0.452278i
\(358\) −1.90462e7 + 6.93227e6i −0.415107 + 0.151087i
\(359\) −2.62009e7 2.19852e7i −0.566282 0.475167i 0.314127 0.949381i \(-0.398288\pi\)
−0.880410 + 0.474213i \(0.842733\pi\)
\(360\) 8.44894e7i 1.81090i
\(361\) 3.68465e7 2.92515e7i 0.783204 0.621765i
\(362\) −4.90976e7 −1.03499
\(363\) −3.55774e6 + 4.23995e6i −0.0743796 + 0.0886422i
\(364\) 705387. + 1.93803e6i 0.0146259 + 0.0401844i
\(365\) −4.15075e6 2.35401e7i −0.0853587 0.484093i
\(366\) 1.85138e7 1.04997e8i 0.377619 2.14158i
\(367\) 4.65306e7 + 1.69358e7i 0.941327 + 0.342615i 0.766690 0.642018i \(-0.221903\pi\)
0.174637 + 0.984633i \(0.444125\pi\)
\(368\) −4.25202e6 7.36471e6i −0.0853201 0.147779i
\(369\) 8.39833e7 + 4.84878e7i 1.67153 + 0.965058i
\(370\) −1.85832e7 + 1.55931e7i −0.366872 + 0.307842i
\(371\) −2.65458e7 3.16361e7i −0.519846 0.619528i
\(372\) 7.28463e6 1.26173e7i 0.141507 0.245098i
\(373\) 7.40786e7 4.27693e7i 1.42747 0.824149i 0.430548 0.902568i \(-0.358320\pi\)
0.996921 + 0.0784185i \(0.0249870\pi\)
\(374\) −2.86651e7 + 7.87567e7i −0.547947 + 1.50547i
\(375\) 9.93256e7 + 1.75138e7i 1.88351 + 0.332113i
\(376\) −7.72150e7 + 1.36151e7i −1.45257 + 0.256128i
\(377\) 1.60858e7 5.85475e6i 0.300205 0.109266i
\(378\) 5.67838e7 + 4.76472e7i 1.05135 + 0.882190i
\(379\) 4.51135e7i 0.828683i 0.910121 + 0.414342i \(0.135988\pi\)
−0.910121 + 0.414342i \(0.864012\pi\)
\(380\) −8.23862e6 + 2.87263e6i −0.150143 + 0.0523515i
\(381\) −8.74708e7 −1.58157
\(382\) 3.17696e6 3.78615e6i 0.0569930 0.0679216i
\(383\) 3.33600e6 + 9.16558e6i 0.0593786 + 0.163141i 0.965835 0.259158i \(-0.0834452\pi\)
−0.906456 + 0.422300i \(0.861223\pi\)
\(384\) −1.05292e7 5.97141e7i −0.185953 1.05459i
\(385\) 6.21080e6 3.52232e7i 0.108834 0.617230i
\(386\) 5.17238e7 + 1.88259e7i 0.899349 + 0.327336i
\(387\) 9.99111e7 + 1.73051e8i 1.72378 + 2.98567i
\(388\) 430031. + 248279.i 0.00736215 + 0.00425054i
\(389\) −4.94849e7 + 4.15228e7i −0.840668 + 0.705404i −0.957714 0.287723i \(-0.907102\pi\)
0.117046 + 0.993126i \(0.462657\pi\)
\(390\) 1.31850e7 + 1.57133e7i 0.222274 + 0.264895i
\(391\) 1.23319e7 2.13595e7i 0.206300 0.357323i
\(392\) −1.99990e7 + 1.15464e7i −0.332009 + 0.191685i
\(393\) 2.95866e7 8.12885e7i 0.487435 1.33922i
\(394\) 3.48073e7 + 6.13746e6i 0.569091 + 0.100346i
\(395\) −4.74686e6 + 836999.i −0.0770220 + 0.0135811i
\(396\) −2.31373e7 + 8.42130e6i −0.372587 + 0.135611i
\(397\) −2.26060e7 1.89687e7i −0.361287 0.303156i 0.444016 0.896019i \(-0.353553\pi\)
−0.805303 + 0.592863i \(0.797998\pi\)
\(398\) 3.44722e6i 0.0546790i
\(399\) 3.17366e7 8.36465e7i 0.499622 1.31683i
\(400\) 1.69147e7 0.264292
\(401\) 1.45175e6 1.73012e6i 0.0225143 0.0268315i −0.754670 0.656105i \(-0.772203\pi\)
0.777184 + 0.629273i \(0.216647\pi\)
\(402\) 1.03210e7 + 2.83568e7i 0.158871 + 0.436494i
\(403\) 2.52792e6 + 1.43365e7i 0.0386231 + 0.219043i
\(404\) 1.80827e6 1.02552e7i 0.0274232 0.155525i
\(405\) −6.40833e7 2.33244e7i −0.964672 0.351112i
\(406\) −2.82998e7 4.90167e7i −0.422868 0.732429i
\(407\) 3.72709e7 + 2.15184e7i 0.552824 + 0.319173i
\(408\) 1.81312e8 1.52138e8i 2.66959 2.24005i
\(409\) −2.48380e7 2.96007e7i −0.363033 0.432646i 0.553350 0.832949i \(-0.313349\pi\)
−0.916383 + 0.400303i \(0.868905\pi\)
\(410\) 2.31082e7 4.00245e7i 0.335285 0.580731i
\(411\) −9.33027e7 + 5.38684e7i −1.34391 + 0.775905i
\(412\) 776601. 2.13369e6i 0.0111047 0.0305099i
\(413\) 4.00823e7 + 7.06758e6i 0.568987 + 0.100328i
\(414\) −2.91681e7 + 5.14313e6i −0.411062 + 0.0724813i
\(415\) −7.21227e7 + 2.62505e7i −1.00909 + 0.367277i
\(416\) −5.79256e6 4.86053e6i −0.0804619 0.0675155i
\(417\) 9.39909e7i 1.29622i
\(418\) −4.00092e7 4.90167e7i −0.547812 0.671143i
\(419\) −5.55040e7 −0.754540 −0.377270 0.926103i \(-0.623137\pi\)
−0.377270 + 0.926103i \(0.623137\pi\)
\(420\) −1.06651e7 + 1.27102e7i −0.143952 + 0.171556i
\(421\) −8.14036e6 2.23655e7i −0.109093 0.299731i 0.873119 0.487508i \(-0.162094\pi\)
−0.982212 + 0.187777i \(0.939872\pi\)
\(422\) −3.81222e6 2.16202e7i −0.0507272 0.287688i
\(423\) −3.77240e7 + 2.13943e8i −0.498421 + 2.82669i
\(424\) 7.75079e7 + 2.82106e7i 1.01683 + 0.370096i
\(425\) 2.45284e7 + 4.24844e7i 0.319523 + 0.553430i
\(426\) −9.44174e7 5.45119e7i −1.22130 0.705119i
\(427\) −6.60116e7 + 5.53903e7i −0.847885 + 0.711460i
\(428\) 8.96481e6 + 1.06838e7i 0.114343 + 0.136269i
\(429\) 1.81952e7 3.15150e7i 0.230455 0.399159i
\(430\) 8.24722e7 4.76154e7i 1.03730 0.598883i
\(431\) −7.31190e6 + 2.00893e7i −0.0913269 + 0.250918i −0.976943 0.213499i \(-0.931514\pi\)
0.885616 + 0.464417i \(0.153736\pi\)
\(432\) −1.15989e8 2.04520e7i −1.43869 0.253679i
\(433\) 9.74847e7 1.71892e7i 1.20081 0.211735i 0.462759 0.886484i \(-0.346859\pi\)
0.738047 + 0.674749i \(0.235748\pi\)
\(434\) 4.52308e7 1.64627e7i 0.553306 0.201387i
\(435\) 1.05496e8 + 8.85213e7i 1.28164 + 1.07542i
\(436\) 1.56936e7i 0.189349i
\(437\) 9.09019e6 + 1.62499e7i 0.108925 + 0.194718i
\(438\) −8.04123e7 −0.956974
\(439\) −7.81695e7 + 9.31588e7i −0.923941 + 1.10111i 0.0706775 + 0.997499i \(0.477484\pi\)
−0.994618 + 0.103610i \(0.966961\pi\)
\(440\) 2.44321e7 + 6.71266e7i 0.286815 + 0.788018i
\(441\) 1.11108e7 + 6.30123e7i 0.129547 + 0.734700i
\(442\) −6.74604e6 + 3.82587e7i −0.0781235 + 0.443061i
\(443\) 4.01614e7 + 1.46175e7i 0.461953 + 0.168137i 0.562503 0.826795i \(-0.309838\pi\)
−0.100551 + 0.994932i \(0.532061\pi\)
\(444\) −9.98232e6 1.72899e7i −0.114047 0.197535i
\(445\) −6.31067e7 3.64347e7i −0.716136 0.413461i
\(446\) −7.75271e7 + 6.50529e7i −0.873874 + 0.733267i
\(447\) −4.18604e7 4.98873e7i −0.468685 0.558557i
\(448\) −4.00631e7 + 6.93913e7i −0.445565 + 0.771740i
\(449\) 2.17798e7 1.25746e7i 0.240611 0.138917i −0.374846 0.927087i \(-0.622305\pi\)
0.615458 + 0.788170i \(0.288971\pi\)
\(450\) 2.01487e7 5.53581e7i 0.221111 0.607497i
\(451\) −8.07459e7 1.42377e7i −0.880219 0.155206i
\(452\) −578881. + 102072.i −0.00626865 + 0.00110533i
\(453\) 1.58484e8 5.76834e7i 1.70487 0.620521i
\(454\) 2.09237e7 + 1.75571e7i 0.223599 + 0.187622i
\(455\) 1.65788e7i 0.176003i
\(456\) 2.86376e7 + 1.76373e8i 0.302024 + 1.86011i
\(457\) 9.48879e7 0.994173 0.497087 0.867701i \(-0.334403\pi\)
0.497087 + 0.867701i \(0.334403\pi\)
\(458\) 3.82121e6 4.55394e6i 0.0397744 0.0474013i
\(459\) −1.16830e8 3.20987e8i −1.20813 3.31932i
\(460\) −599638. 3.40072e6i −0.00616050 0.0349379i
\(461\) −1.20573e7 + 6.83801e7i −0.123068 + 0.697954i 0.859368 + 0.511357i \(0.170857\pi\)
−0.982437 + 0.186597i \(0.940254\pi\)
\(462\) −1.13065e8 4.11524e7i −1.14658 0.417320i
\(463\) −7.01963e7 1.21583e8i −0.707247 1.22499i −0.965875 0.259010i \(-0.916604\pi\)
0.258628 0.965977i \(-0.416730\pi\)
\(464\) 7.78825e7 + 4.49655e7i 0.779625 + 0.450117i
\(465\) −8.97160e7 + 7.52807e7i −0.892300 + 0.748729i
\(466\) 6.26089e7 + 7.46144e7i 0.618698 + 0.737335i
\(467\) 1.76721e7 3.06090e7i 0.173515 0.300537i −0.766131 0.642684i \(-0.777821\pi\)
0.939646 + 0.342147i \(0.111154\pi\)
\(468\) −9.88405e6 + 5.70656e6i −0.0964267 + 0.0556720i
\(469\) 8.34185e6 2.29191e7i 0.0808619 0.222166i
\(470\) 1.01961e8 + 1.79784e7i 0.982061 + 0.173164i
\(471\) 1.23075e8 2.17014e7i 1.17790 0.207695i
\(472\) −7.63867e7 + 2.78025e7i −0.726426 + 0.264398i
\(473\) −1.29421e8 1.08597e8i −1.22298 1.02621i
\(474\) 1.62151e7i 0.152260i
\(475\) −3.70314e7 502491.i −0.345533 0.00468865i
\(476\) −3.14242e7 −0.291369
\(477\) 1.46901e8 1.75070e8i 1.35354 1.61308i
\(478\) 2.98777e7 + 8.20882e7i 0.273566 + 0.751618i
\(479\) 1.98109e7 + 1.12353e8i 0.180259 + 1.02230i 0.931896 + 0.362724i \(0.118153\pi\)
−0.751637 + 0.659577i \(0.770736\pi\)
\(480\) 1.05636e7 5.99089e7i 0.0955182 0.541711i
\(481\) 1.87457e7 + 6.82288e6i 0.168448 + 0.0613102i
\(482\) −9.89822e7 1.71442e8i −0.883926 1.53101i
\(483\) 3.06643e7 + 1.77040e7i 0.272139 + 0.157120i
\(484\) −1.12430e6 + 943403.i −0.00991625 + 0.00832073i
\(485\) −2.56576e6 3.05775e6i −0.0224900 0.0268026i
\(486\) −1.64390e7 + 2.84733e7i −0.143208 + 0.248044i
\(487\) 3.47377e7 2.00558e7i 0.300756 0.173641i −0.342027 0.939690i \(-0.611113\pi\)
0.642782 + 0.766049i \(0.277780\pi\)
\(488\) 5.88639e7 1.61727e8i 0.506512 1.39163i
\(489\) −2.02279e7 3.56673e6i −0.172992 0.0305031i
\(490\) 3.00302e7 5.29514e6i 0.255253 0.0450080i
\(491\) 6.09231e6 2.21742e6i 0.0514680 0.0187328i −0.316158 0.948707i \(-0.602393\pi\)
0.367626 + 0.929974i \(0.380171\pi\)
\(492\) 2.91370e7 + 2.44488e7i 0.244652 + 0.205288i
\(493\) 2.60822e8i 2.17673i
\(494\) −2.22091e7 1.91551e7i −0.184226 0.158893i
\(495\) 1.97927e8 1.63189
\(496\) −4.91601e7 + 5.85867e7i −0.402872 + 0.480124i
\(497\) 3.01379e7 + 8.28032e7i 0.245496 + 0.674494i
\(498\) 4.48356e7 + 2.54275e8i 0.363024 + 2.05881i
\(499\) 1.63591e7 9.27769e7i 0.131661 0.746687i −0.845466 0.534029i \(-0.820677\pi\)
0.977127 0.212657i \(-0.0682118\pi\)
\(500\) 2.51315e7 + 9.14712e6i 0.201052 + 0.0731770i
\(501\) −1.83082e8 3.17108e8i −1.45591 2.52170i
\(502\) 5.15644e7 + 2.97707e7i 0.407605 + 0.235331i
\(503\) 1.00502e8 8.43316e7i 0.789720 0.662653i −0.155956 0.987764i \(-0.549846\pi\)
0.945676 + 0.325111i \(0.105402\pi\)
\(504\) 1.47664e8 + 1.75980e8i 1.15341 + 1.37458i
\(505\) −4.18543e7 + 7.24939e7i −0.324987 + 0.562895i
\(506\) 2.16867e7 1.25208e7i 0.167395 0.0966455i
\(507\) −7.25473e7 + 1.99322e8i −0.556670 + 1.52944i
\(508\) −2.28422e7 4.02769e6i −0.174239 0.0307231i
\(509\) 4.88161e7 8.60760e6i 0.370177 0.0652723i 0.0145350 0.999894i \(-0.495373\pi\)
0.355642 + 0.934622i \(0.384262\pi\)
\(510\) −2.93689e8 + 1.06894e8i −2.21400 + 0.805829i
\(511\) 4.97871e7 + 4.17763e7i 0.373124 + 0.313089i
\(512\) 1.49822e8i 1.11626i
\(513\) 2.53329e8 + 4.82216e7i 1.87643 + 0.357182i
\(514\) 2.59391e7 0.191014
\(515\) −1.17325e7 + 1.39823e7i −0.0858955 + 0.102366i
\(516\) 2.68055e7 + 7.36475e7i 0.195108 + 0.536055i
\(517\) −3.18951e7 1.80886e8i −0.230809 1.30898i
\(518\) 1.14536e7 6.49567e7i 0.0824050 0.467342i
\(519\) −3.33234e8 1.21287e8i −2.38368 0.867587i
\(520\) 1.65560e7 + 2.86758e7i 0.117746 + 0.203942i
\(521\) 1.25318e8 + 7.23526e7i 0.886139 + 0.511613i 0.872678 0.488297i \(-0.162382\pi\)
0.0134613 + 0.999909i \(0.495715\pi\)
\(522\) 2.39936e8 2.01330e8i 1.68688 1.41546i
\(523\) −1.34997e8 1.60883e8i −0.943668 1.12462i −0.992057 0.125791i \(-0.959853\pi\)
0.0483892 0.998829i \(-0.484591\pi\)
\(524\) 1.14693e7 1.98654e7i 0.0797154 0.138071i
\(525\) −6.09918e7 + 3.52136e7i −0.421496 + 0.243351i
\(526\) 4.45117e7 1.22295e8i 0.305856 0.840333i
\(527\) −2.18440e8 3.85168e7i −1.49245 0.263159i
\(528\) 1.88274e8 3.31979e7i 1.27906 0.225532i
\(529\) 1.32183e8 4.81108e7i 0.892915 0.324994i
\(530\) −8.34343e7 7.00097e7i −0.560424 0.470252i
\(531\) 2.25231e8i 1.50434i
\(532\) 1.21393e7 2.03822e7i 0.0806231 0.135368i
\(533\) −3.80054e7 −0.250994
\(534\) −1.57572e8 + 1.87787e8i −1.03480 + 1.23322i
\(535\) −3.83446e7 1.05351e8i −0.250405 0.687981i
\(536\) 8.45887e6 + 4.79726e7i 0.0549310 + 0.311529i
\(537\) −2.32845e7 + 1.32053e8i −0.150364 + 0.852758i
\(538\) 4.62988e6 + 1.68514e6i 0.0297319 + 0.0108215i
\(539\) −2.70490e7 4.68502e7i −0.172737 0.299189i
\(540\) −4.14182e7 2.39128e7i −0.263033 0.151862i
\(541\) −2.09143e8 + 1.75492e8i −1.32084 + 1.10832i −0.334718 + 0.942318i \(0.608641\pi\)
−0.986126 + 0.166001i \(0.946915\pi\)
\(542\) −1.01312e8 1.20739e8i −0.636304 0.758318i
\(543\) −1.62407e8 + 2.81297e8i −1.01439 + 1.75697i
\(544\) 9.97780e7 5.76068e7i 0.619781 0.357831i
\(545\) −4.31471e7 + 1.18546e8i −0.266540 + 0.732313i
\(546\) −5.49252e7 9.68480e6i −0.337438 0.0594994i
\(547\) 3.26167e7 5.75121e6i 0.199287 0.0351397i −0.0731136 0.997324i \(-0.523294\pi\)
0.272400 + 0.962184i \(0.412182\pi\)
\(548\) −2.68456e7 + 9.77099e6i −0.163129 + 0.0593741i
\(549\) −3.65299e8 3.06523e8i −2.20766 1.85245i
\(550\) 4.98083e7i 0.299374i
\(551\) −1.69173e8 1.00757e8i −1.01129 0.602311i
\(552\) −7.07185e7 −0.420452
\(553\) 8.42420e6 1.00396e7i 0.0498142 0.0593662i
\(554\) 6.75359e7 + 1.85553e8i 0.397197 + 1.09129i
\(555\) 2.78683e7 + 1.58049e8i 0.163016 + 0.924512i
\(556\) 4.32792e6 2.45449e7i 0.0251800 0.142803i
\(557\) 1.75776e8 + 6.39771e7i 1.01717 + 0.370219i 0.796182 0.605058i \(-0.206850\pi\)
0.220987 + 0.975277i \(0.429072\pi\)
\(558\) 1.33182e8 + 2.30679e8i 0.766557 + 1.32772i
\(559\) −6.78200e7 3.91559e7i −0.388260 0.224162i
\(560\) 6.67207e7 5.59853e7i 0.379924 0.318794i
\(561\) 3.56404e8 + 4.24746e8i 2.01862 + 2.40570i
\(562\) 6.85728e7 1.18772e8i 0.386316 0.669119i
\(563\) 2.56938e8 1.48343e8i 1.43980 0.831269i 0.441965 0.897032i \(-0.354281\pi\)
0.997835 + 0.0657629i \(0.0209481\pi\)
\(564\) −2.91425e7 + 8.00685e7i −0.162439 + 0.446297i
\(565\) 4.65337e6 + 820515.i 0.0258002 + 0.00454927i
\(566\) 1.23336e8 2.17474e7i 0.680204 0.119938i
\(567\) 1.74241e8 6.34186e7i 0.955877 0.347911i
\(568\) −1.34818e8 1.13125e8i −0.735701 0.617327i
\(569\) 2.07389e8i 1.12577i −0.826535 0.562885i \(-0.809691\pi\)
0.826535 0.562885i \(-0.190309\pi\)
\(570\) 4.41206e7 2.31785e8i 0.238241 1.25158i
\(571\) −1.60307e8 −0.861080 −0.430540 0.902572i \(-0.641677\pi\)
−0.430540 + 0.902572i \(0.641677\pi\)
\(572\) 6.20266e6 7.39204e6i 0.0331429 0.0394981i
\(573\) −1.11833e7 3.07258e7i −0.0594436 0.163320i
\(574\) 2.18209e7 + 1.23752e8i 0.115382 + 0.654362i
\(575\) 2.54525e6 1.44348e7i 0.0133884 0.0759291i
\(576\) −4.16667e8 1.51654e8i −2.18033 0.793574i
\(577\) 1.72238e8 + 2.98325e8i 0.896604 + 1.55296i 0.831806 + 0.555066i \(0.187307\pi\)
0.0647981 + 0.997898i \(0.479360\pi\)
\(578\) −3.62725e8 2.09419e8i −1.87842 1.08451i
\(579\) 2.78954e8 2.34070e8i 1.43713 1.20590i
\(580\) 2.34731e7 + 2.79742e7i 0.120306 + 0.143375i
\(581\) 1.04343e8 1.80727e8i 0.532028 0.921499i
\(582\) −1.16291e7 + 6.71404e6i −0.0589896 + 0.0340577i
\(583\) −6.60869e7 + 1.81572e8i −0.333511 + 0.916313i
\(584\) −1.27834e8 2.25405e7i −0.641810 0.113168i
\(585\) 9.03512e7 1.59314e7i 0.451301 0.0795766i
\(586\) 4.82435e7 1.75592e7i 0.239743 0.0872594i
\(587\) 1.09270e8 + 9.16888e7i 0.540242 + 0.453317i 0.871621 0.490181i \(-0.163069\pi\)
−0.331379 + 0.943498i \(0.607514\pi\)
\(588\) 2.50959e7i 0.123444i
\(589\) 1.09367e8 1.26804e8i 0.535230 0.620564i
\(590\) 1.07340e8 0.522644
\(591\) 1.50300e8 1.79121e8i 0.728111 0.867728i
\(592\) 3.58443e7 + 9.84815e7i 0.172765 + 0.474667i
\(593\) 5.93459e6 + 3.36567e7i 0.0284594 + 0.161402i 0.995725 0.0923634i \(-0.0294421\pi\)
−0.967266 + 0.253765i \(0.918331\pi\)
\(594\) 6.02248e7 3.41552e8i 0.287353 1.62966i
\(595\) 2.37371e8 + 8.63960e7i 1.12688 + 0.410150i
\(596\) −8.63434e6 1.49551e7i −0.0407841 0.0706401i
\(597\) 1.97503e7 + 1.14028e7i 0.0928220 + 0.0535908i
\(598\) 8.89189e6 7.46118e6i 0.0415806 0.0348903i
\(599\) 2.32643e8 + 2.77253e8i 1.08245 + 1.29002i 0.954491 + 0.298239i \(0.0963992\pi\)
0.127962 + 0.991779i \(0.459156\pi\)
\(600\) 7.03302e7 1.21815e8i 0.325603 0.563961i
\(601\) −6.79703e7 + 3.92427e7i −0.313109 + 0.180774i −0.648317 0.761371i \(-0.724527\pi\)
0.335208 + 0.942144i \(0.391194\pi\)
\(602\) −8.85595e7 + 2.43315e8i −0.405925 + 1.11527i
\(603\) 1.32920e8 + 2.34374e7i 0.606232 + 0.106895i
\(604\) 4.40427e7 7.76591e6i 0.199877 0.0352437i
\(605\) 1.10865e7 4.03515e6i 0.0500643 0.0182219i
\(606\) 2.15720e8 + 1.81011e8i 0.969333 + 0.813367i
\(607\) 2.74984e8i 1.22954i 0.788707 + 0.614769i \(0.210751\pi\)
−0.788707 + 0.614769i \(0.789249\pi\)
\(608\) −1.18014e6 + 8.69713e7i −0.00525077 + 0.386959i
\(609\) −3.74444e8 −1.65781
\(610\) −1.46082e8 + 1.74093e8i −0.643585 + 0.766995i
\(611\) −2.91194e7 8.00049e7i −0.127661 0.350746i
\(612\) −3.01969e7 1.71255e8i −0.131737 0.747118i
\(613\) 4.74129e7 2.68892e8i 0.205833 1.16734i −0.690291 0.723532i \(-0.742517\pi\)
0.896124 0.443805i \(-0.146372\pi\)
\(614\) −7.59286e7 2.76358e7i −0.328020 0.119390i
\(615\) −1.52876e8 2.64789e8i −0.657225 1.13835i
\(616\) −1.68208e8 9.71147e7i −0.719620 0.415473i
\(617\) −2.18579e8 + 1.83409e8i −0.930578 + 0.780847i −0.975921 0.218124i \(-0.930006\pi\)
0.0453433 + 0.998971i \(0.485562\pi\)
\(618\) 3.94692e7 + 4.70376e7i 0.167222 + 0.199287i
\(619\) −7.23959e7 + 1.25393e8i −0.305240 + 0.528692i −0.977315 0.211792i \(-0.932070\pi\)
0.672074 + 0.740484i \(0.265404\pi\)
\(620\) −2.68949e7 + 1.55278e7i −0.112848 + 0.0651530i
\(621\) −3.49072e7 + 9.59068e7i −0.145761 + 0.400474i
\(622\) 2.31369e8 + 4.07966e7i 0.961466 + 0.169532i
\(623\) 1.95120e8 3.44050e7i 0.806935 0.142284i
\(624\) 8.32727e7 3.03088e7i 0.342727 0.124743i
\(625\) −1.00061e8 8.39610e7i −0.409849 0.343904i
\(626\) 9.69149e7i 0.395064i
\(627\) −4.13177e8 + 6.70872e7i −1.67623 + 0.272168i
\(628\) 3.31392e7 0.133802
\(629\) −1.95376e8 + 2.32840e8i −0.785090 + 0.935634i
\(630\) −1.03751e8 2.85052e8i −0.414924 1.14000i
\(631\) −2.52531e7 1.43217e8i −0.100514 0.570043i −0.992918 0.118805i \(-0.962094\pi\)
0.892404 0.451238i \(-0.149017\pi\)
\(632\) −4.54530e6 + 2.57777e7i −0.0180057 + 0.102116i
\(633\) −1.36480e8 4.96745e7i −0.538092 0.195849i
\(634\) 9.10516e6 + 1.57706e7i 0.0357289 + 0.0618843i
\(635\) 1.61471e8 + 9.32255e7i 0.630629 + 0.364094i
\(636\) 6.86657e7 5.76174e7i 0.266912 0.223966i
\(637\) −1.61185e7 1.92093e7i −0.0623601 0.0743178i
\(638\) −1.32409e8 + 2.29339e8i −0.509866 + 0.883114i
\(639\) −4.22299e8 + 2.43815e8i −1.61852 + 0.934453i
\(640\) −4.42058e7 + 1.21454e8i −0.168632 + 0.463312i
\(641\) 3.74896e8 + 6.61043e7i 1.42343 + 0.250990i 0.831736 0.555171i \(-0.187347\pi\)
0.591697 + 0.806160i \(0.298458\pi\)
\(642\) −3.71424e8 + 6.54920e7i −1.40367 + 0.247505i
\(643\) 4.68028e8 1.70348e8i 1.76051 0.640774i 0.760549 0.649281i \(-0.224930\pi\)
0.999964 + 0.00850681i \(0.00270784\pi\)
\(644\) 7.19249e6 + 6.03522e6i 0.0269291 + 0.0225962i
\(645\) 6.30015e8i 2.34786i
\(646\) 3.89994e8 2.18162e8i 1.44664 0.809248i
\(647\) −7.44408e7 −0.274852 −0.137426 0.990512i \(-0.543883\pi\)
−0.137426 + 0.990512i \(0.543883\pi\)
\(648\) −2.38048e8 + 2.83694e8i −0.874861 + 1.04262i
\(649\) −6.51309e7 1.78946e8i −0.238261 0.654617i
\(650\) 4.00912e6 + 2.27368e7i 0.0145985 + 0.0827923i
\(651\) 5.52958e7 3.13598e8i 0.200424 1.13666i
\(652\) −5.11810e6 1.86284e6i −0.0184657 0.00672097i
\(653\) −7.41762e7 1.28477e8i −0.266394 0.461408i 0.701534 0.712636i \(-0.252499\pi\)
−0.967928 + 0.251228i \(0.919166\pi\)
\(654\) 3.67534e8 + 2.12196e8i 1.31390 + 0.758583i
\(655\) −1.41253e8 + 1.18526e8i −0.502661 + 0.421782i
\(656\) −1.28341e8 1.52951e8i −0.454626 0.541802i
\(657\) −1.79829e8 + 3.11474e8i −0.634110 + 1.09831i
\(658\) −2.43791e8 + 1.40753e8i −0.855736 + 0.494060i
\(659\) 1.02307e8 2.81085e8i 0.357476 0.982158i −0.622426 0.782679i \(-0.713853\pi\)
0.979902 0.199479i \(-0.0639251\pi\)
\(660\) 7.64514e7 + 1.34805e7i 0.265922 + 0.0468892i
\(661\) −4.79066e8 + 8.44723e7i −1.65879 + 0.292489i −0.923022 0.384747i \(-0.874289\pi\)
−0.735766 + 0.677236i \(0.763178\pi\)
\(662\) 2.37372e8 8.63965e7i 0.818194 0.297798i
\(663\) 1.96882e8 + 1.65204e8i 0.675562 + 0.566864i
\(664\) 4.16796e8i 1.42370i
\(665\) −1.47735e8 + 1.20587e8i −0.502365 + 0.410049i
\(666\) 3.65007e8 1.23560
\(667\) 5.00926e7 5.96981e7i 0.168809 0.201179i
\(668\) −3.32087e7 9.12401e7i −0.111409 0.306095i
\(669\) 1.16263e8 + 6.59363e8i 0.388298 + 2.20215i
\(670\) 1.11697e7 6.33467e7i 0.0371380 0.210620i
\(671\) 3.78867e8 + 1.37896e8i 1.25406 + 0.456442i
\(672\) 8.27020e7 + 1.43244e8i 0.272526 + 0.472029i
\(673\) −1.68009e8 9.69998e7i −0.551171 0.318219i 0.198423 0.980116i \(-0.436418\pi\)
−0.749594 + 0.661898i \(0.769751\pi\)
\(674\) 1.94661e8 1.63340e8i 0.635769 0.533473i
\(675\) −1.30488e8 1.55509e8i −0.424286 0.505644i
\(676\) −2.81231e7 + 4.87106e7i −0.0910380 + 0.157682i
\(677\) 1.21948e6 704068.i 0.00393015 0.00226907i −0.498034 0.867158i \(-0.665944\pi\)
0.501964 + 0.864889i \(0.332611\pi\)
\(678\) 5.43669e6 1.49372e7i 0.0174440 0.0479269i
\(679\) 1.06882e7 + 1.88462e6i 0.0341426 + 0.00602026i
\(680\) −4.96849e8 + 8.76079e7i −1.58015 + 0.278623i
\(681\) 1.69802e8 6.18030e7i 0.537653 0.195690i
\(682\) −1.72519e8 1.44761e8i −0.543856 0.456350i
\(683\) 1.30869e8i 0.410748i 0.978684 + 0.205374i \(0.0658410\pi\)
−0.978684 + 0.205374i \(0.934159\pi\)
\(684\) 1.22744e8 + 4.65706e7i 0.383558 + 0.145527i
\(685\) 2.29650e8 0.714486
\(686\) −2.02393e8 + 2.41202e8i −0.626936 + 0.747153i
\(687\) −1.34511e7 3.69566e7i −0.0414847 0.113978i
\(688\) −7.14414e7 4.05164e8i −0.219374 1.24413i
\(689\) −1.55529e7 + 8.82048e7i −0.0475503 + 0.269671i
\(690\) 8.77505e7 + 3.19386e7i 0.267117 + 0.0972228i
\(691\) −1.56300e7 2.70719e7i −0.0473722 0.0820511i 0.841367 0.540464i \(-0.181751\pi\)
−0.888739 + 0.458413i \(0.848418\pi\)
\(692\) −8.14362e7 4.70172e7i −0.245753 0.141886i
\(693\) −4.12255e8 + 3.45923e8i −1.23870 + 1.03939i
\(694\) 5.36487e7 + 6.39360e7i 0.160502 + 0.191279i
\(695\) −1.00175e8 + 1.73508e8i −0.298403 + 0.516849i
\(696\) 6.47662e8 3.73928e8i 1.92097 1.10907i
\(697\) 1.98055e8 5.44151e8i 0.584907 1.60702i
\(698\) −3.88149e8 6.84411e7i −1.14138 0.201257i
\(699\) 6.34591e8 1.11896e8i 1.85807 0.327628i
\(700\) −1.75489e7 + 6.38728e6i −0.0511630 + 0.0186218i
\(701\) −3.92691e7 3.29507e7i −0.113998 0.0956555i 0.584007 0.811749i \(-0.301484\pi\)
−0.698005 + 0.716093i \(0.745929\pi\)
\(702\) 1.60761e8i 0.464698i
\(703\) −7.55487e7 2.16671e8i −0.217451 0.623642i
\(704\) 3.74895e8 1.07446
\(705\) 4.40273e8 5.24697e8i 1.25648 1.49741i
\(706\) −6.00570e7 1.65005e8i −0.170667 0.468904i
\(707\) −3.95227e7 2.24145e8i −0.111838 0.634264i
\(708\) −1.53401e7 + 8.69979e7i −0.0432243 + 0.245137i
\(709\) −4.09932e8 1.49203e8i −1.15020 0.418638i −0.304612 0.952477i \(-0.598527\pi\)
−0.845586 + 0.533839i \(0.820749\pi\)
\(710\) 1.16197e8 + 2.01258e8i 0.324652 + 0.562314i
\(711\) 6.28087e7 + 3.62626e7i 0.174748 + 0.100891i
\(712\) −3.03135e8 + 2.54361e8i −0.839839 + 0.704709i
\(713\) 4.26000e7 + 5.07687e7i 0.117528 + 0.140064i
\(714\) 4.24892e8 7.35934e8i 1.16730 2.02183i
\(715\) −6.71769e7 + 3.87846e7i −0.183781 + 0.106106i
\(716\) −1.21611e7 + 3.34123e7i −0.0331309 + 0.0910264i
\(717\) 5.69141e8 + 1.00355e8i 1.54405 + 0.272258i
\(718\) 2.41536e8 4.25893e7i 0.652542 0.115061i
\(719\) −6.31928e8 + 2.30003e8i −1.70013 + 0.618795i −0.995840 0.0911202i \(-0.970955\pi\)
−0.704287 + 0.709916i \(0.748733\pi\)
\(720\) 3.69223e8 + 3.09815e8i 0.989217 + 0.830052i
\(721\) 4.96285e7i 0.132411i
\(722\) −9.15373e6 + 3.37233e8i −0.0243213 + 0.896021i
\(723\) −1.30967e9 −3.46534
\(724\) −5.53637e7 + 6.59798e7i −0.145884 + 0.173858i
\(725\) 5.30147e7 + 1.45657e8i 0.139118 + 0.382223i
\(726\) −6.89199e6 3.90864e7i −0.0180109 0.102145i
\(727\) −1.01225e8 + 5.74074e8i −0.263441 + 1.49405i 0.509996 + 0.860177i \(0.329647\pi\)
−0.773437 + 0.633873i \(0.781464\pi\)
\(728\) −8.46014e7 3.07924e7i −0.219272 0.0798085i
\(729\) −1.37062e8 2.37399e8i −0.353782 0.612769i
\(730\) 1.48441e8 + 8.57026e7i 0.381580 + 0.220306i
\(731\) 9.14048e8 7.66977e8i 2.34001 1.96350i
\(732\) −1.20224e8 1.43277e8i −0.306519 0.365295i
\(733\) 6.38037e7 1.10511e8i 0.162007 0.280605i −0.773581 0.633697i \(-0.781537\pi\)
0.935588 + 0.353092i \(0.114870\pi\)
\(734\) −3.07504e8 + 1.77538e8i −0.777613 + 0.448955i
\(735\) 6.89974e7 1.89569e8i 0.173768 0.477425i
\(736\) −3.39014e7 5.97773e6i −0.0850323 0.0149935i
\(737\) −1.12382e8 + 1.98160e7i −0.280734 + 0.0495009i
\(738\) −6.53456e8 + 2.37838e8i −1.62573 + 0.591716i
\(739\) 4.55412e8 + 3.82136e8i 1.12842 + 0.946857i 0.998999 0.0447327i \(-0.0142436\pi\)
0.129421 + 0.991590i \(0.458688\pi\)
\(740\) 4.25562e7i 0.105019i
\(741\) −1.83210e8 + 6.38814e7i −0.450292 + 0.157007i
\(742\) 2.96140e8 0.724912
\(743\) 2.19135e7 2.61154e7i 0.0534250 0.0636694i −0.738670 0.674067i \(-0.764546\pi\)
0.792095 + 0.610398i \(0.208990\pi\)
\(744\) 2.17523e8 + 5.97639e8i 0.528185 + 1.45118i
\(745\) 2.41050e7 + 1.36707e8i 0.0582961 + 0.330613i
\(746\) −1.06512e8 + 6.04062e8i −0.256557 + 1.45501i
\(747\) 1.08519e9 + 3.94978e8i 2.60342 + 0.947569i
\(748\) 7.35137e7 + 1.27330e8i 0.175656 + 0.304246i
\(749\) 2.63991e8 + 1.52415e8i 0.628266 + 0.362730i
\(750\) −5.54028e8 + 4.64884e8i −1.31325 + 1.10195i
\(751\) −4.36366e8 5.20041e8i −1.03022 1.22777i −0.973334 0.229392i \(-0.926326\pi\)
−0.0568897 0.998380i \(-0.518118\pi\)
\(752\) 2.23642e8 3.87359e8i 0.525896 0.910878i
\(753\) 3.41133e8 1.96953e8i 0.798985 0.461294i
\(754\) −4.19833e7 + 1.15348e8i −0.0979405 + 0.269089i
\(755\) −3.54040e8 6.24268e7i −0.822643 0.145054i
\(756\) 1.28061e8 2.25807e7i 0.296383 0.0522603i
\(757\) −3.31751e8 + 1.20747e8i −0.764759 + 0.278349i −0.694802 0.719201i \(-0.744508\pi\)
−0.0699562 + 0.997550i \(0.522286\pi\)
\(758\) −2.47815e8 2.07942e8i −0.569011 0.477457i
\(759\) 1.65667e8i 0.378889i
\(760\) 1.35112e8 3.56107e8i 0.307789 0.811222i
\(761\) −7.15283e8 −1.62302 −0.811510 0.584339i \(-0.801354\pi\)
−0.811510 + 0.584339i \(0.801354\pi\)
\(762\) 4.03180e8 4.80491e8i 0.911242 1.08598i
\(763\) −1.17316e8 3.22324e8i −0.264110 0.725636i
\(764\) −1.50560e6 8.53871e6i −0.00337622 0.0191475i