Properties

Label 43.6.g.a.9.3
Level 43
Weight 6
Character 43.9
Analytic conductor 6.897
Analytic rank 0
Dimension 204
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(204\)
Relative dimension: \(17\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 9.3
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.47096 - 6.86037i) q^{2} +(-18.4151 - 2.77564i) q^{3} +(-10.0126 + 43.8679i) q^{4} +(64.4216 + 43.9219i) q^{5} +(81.7066 + 141.520i) q^{6} +(8.11387 - 14.0536i) q^{7} +(102.744 - 49.4787i) q^{8} +(99.2091 + 30.6020i) q^{9} +O(q^{10})\) \(q+(-5.47096 - 6.86037i) q^{2} +(-18.4151 - 2.77564i) q^{3} +(-10.0126 + 43.8679i) q^{4} +(64.4216 + 43.9219i) q^{5} +(81.7066 + 141.520i) q^{6} +(8.11387 - 14.0536i) q^{7} +(102.744 - 49.4787i) q^{8} +(99.2091 + 30.6020i) q^{9} +(-51.1277 - 682.251i) q^{10} +(6.37310 + 27.9224i) q^{11} +(306.144 - 780.042i) q^{12} +(-2.03567 + 27.1642i) q^{13} +(-140.804 + 21.2227i) q^{14} +(-1064.42 - 987.639i) q^{15} +(395.732 + 190.575i) q^{16} +(-9.20043 + 6.27275i) q^{17} +(-332.828 - 848.033i) q^{18} +(2359.40 - 727.779i) q^{19} +(-2571.79 + 2386.27i) q^{20} +(-188.426 + 236.278i) q^{21} +(156.691 - 196.484i) q^{22} +(3242.52 - 3008.62i) q^{23} +(-2029.37 + 625.979i) q^{24} +(1079.32 + 2750.06i) q^{25} +(197.493 - 134.649i) q^{26} +(2335.26 + 1124.60i) q^{27} +(535.263 + 496.651i) q^{28} +(-3109.96 + 468.751i) q^{29} +(-952.158 + 12705.7i) q^{30} +(-1819.66 + 4636.42i) q^{31} +(-1669.64 - 7315.18i) q^{32} +(-39.8592 - 531.884i) q^{33} +(93.3686 + 28.8004i) q^{34} +(1139.97 - 548.981i) q^{35} +(-2335.78 + 4045.69i) q^{36} +(3028.16 + 5244.92i) q^{37} +(-17901.0 - 12204.7i) q^{38} +(112.885 - 494.582i) q^{39} +(8792.12 + 1325.20i) q^{40} +(7226.30 + 9061.49i) q^{41} +2651.83 q^{42} +(10561.7 - 5954.77i) q^{43} -1288.71 q^{44} +(5047.11 + 6328.88i) q^{45} +(-38380.0 - 5784.85i) q^{46} +(5154.19 - 22582.0i) q^{47} +(-6758.50 - 4607.87i) q^{48} +(8271.83 + 14327.2i) q^{49} +(12961.5 - 22450.0i) q^{50} +(186.838 - 89.9765i) q^{51} +(-1171.25 - 361.284i) q^{52} +(-857.384 - 11441.0i) q^{53} +(-5060.93 - 22173.4i) q^{54} +(-815.839 + 2078.72i) q^{55} +(138.292 - 1845.38i) q^{56} +(-45468.8 + 6853.32i) q^{57} +(20230.3 + 18771.0i) q^{58} +(44926.5 + 21635.5i) q^{59} +(53983.3 - 36805.2i) q^{60} +(12112.3 + 30861.7i) q^{61} +(41762.9 - 12882.1i) q^{62} +(1235.04 - 1145.95i) q^{63} +(-32286.9 + 40486.5i) q^{64} +(-1324.24 + 1660.55i) q^{65} +(-3430.85 + 3183.37i) q^{66} +(21033.9 - 6488.10i) q^{67} +(-183.052 - 466.410i) q^{68} +(-68062.4 + 46404.1i) q^{69} +(-10002.9 - 4817.17i) q^{70} +(-50611.0 - 46960.2i) q^{71} +(11707.2 - 1764.58i) q^{72} +(-130.639 + 1743.25i) q^{73} +(19415.2 - 49469.0i) q^{74} +(-12242.7 - 53638.6i) q^{75} +(8302.48 + 110789. i) q^{76} +(444.121 + 136.993i) q^{77} +(-4010.60 + 1931.40i) q^{78} +(-32234.8 + 55832.4i) q^{79} +(17123.3 + 29658.5i) q^{80} +(-60727.5 - 41403.3i) q^{81} +(22630.4 - 99150.1i) q^{82} +(-41947.4 - 6322.55i) q^{83} +(-8478.41 - 10631.6i) q^{84} -868.218 q^{85} +(-98634.5 - 39878.7i) q^{86} +58571.4 q^{87} +(2036.36 + 2553.51i) q^{88} +(26562.8 + 4003.70i) q^{89} +(15805.9 - 69250.1i) q^{90} +(365.238 + 249.015i) q^{91} +(99516.0 + 172367. i) q^{92} +(46378.4 - 80329.7i) q^{93} +(-183119. + 88185.5i) q^{94} +(183962. + 56744.8i) q^{95} +(10442.4 + 139344. i) q^{96} +(16981.5 + 74400.7i) q^{97} +(53035.2 - 135131. i) q^{98} +(-222.210 + 2965.18i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + O(q^{10}) \) \( 204q - 468q^{4} - 85q^{5} - 22q^{6} + 454q^{7} + 698q^{8} - 333q^{9} + 303q^{10} - 1340q^{11} + 858q^{12} + 814q^{13} + 1202q^{14} - 2083q^{15} - 6248q^{16} - 214q^{17} - 174q^{18} - 246q^{19} - 17139q^{20} + 3007q^{21} + 2118q^{22} + 3192q^{23} + 15880q^{24} + 3652q^{25} - 1237q^{26} + 108q^{27} - 6780q^{28} - 18827q^{29} + 98080q^{30} - 43196q^{31} - 3930q^{32} + 28181q^{33} + 45155q^{34} + 33275q^{35} - 49399q^{36} + 34607q^{37} - 43374q^{38} + 15155q^{39} - 108727q^{40} + 7156q^{41} - 48066q^{42} - 176452q^{43} + 26068q^{44} - 96386q^{45} - 27185q^{46} + 20402q^{47} + 198899q^{48} - 158742q^{49} + 186243q^{50} + 98589q^{51} + 278918q^{52} + 14102q^{53} + 270894q^{54} - 334770q^{55} + 61999q^{56} - 202490q^{57} + 213658q^{58} - 43753q^{59} - 389005q^{60} + 80516q^{61} + 162349q^{62} - 75177q^{63} - 489850q^{64} + 93726q^{65} + 246095q^{66} - 322922q^{67} + 475089q^{68} - 397079q^{69} - 614985q^{70} - 233345q^{71} + 379655q^{72} + 159391q^{73} + 695938q^{74} + 344081q^{75} - 50808q^{76} + 608177q^{77} + 605548q^{78} - 272109q^{79} + 601054q^{80} + 193536q^{81} - 996896q^{82} + 177813q^{83} - 919009q^{84} - 844524q^{85} - 876752q^{86} - 188214q^{87} - 59998q^{88} - 469041q^{89} - 453431q^{90} - 223189q^{91} - 94922q^{92} + 569174q^{93} + 1175168q^{94} + 435689q^{95} + 1557688q^{96} + 643751q^{97} + 886196q^{98} + 1422581q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{1}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.47096 6.86037i −0.967138 1.21275i −0.977095 0.212803i \(-0.931741\pi\)
0.00995697 0.999950i \(-0.496831\pi\)
\(3\) −18.4151 2.77564i −1.18133 0.178057i −0.471136 0.882061i \(-0.656156\pi\)
−0.710196 + 0.704004i \(0.751394\pi\)
\(4\) −10.0126 + 43.8679i −0.312893 + 1.37087i
\(5\) 64.4216 + 43.9219i 1.15241 + 0.785699i 0.979936 0.199315i \(-0.0638716\pi\)
0.172474 + 0.985014i \(0.444824\pi\)
\(6\) 81.7066 + 141.520i 0.926572 + 1.60487i
\(7\) 8.11387 14.0536i 0.0625868 0.108404i −0.833034 0.553222i \(-0.813398\pi\)
0.895621 + 0.444818i \(0.146732\pi\)
\(8\) 102.744 49.4787i 0.567584 0.273334i
\(9\) 99.2091 + 30.6020i 0.408268 + 0.125934i
\(10\) −51.1277 682.251i −0.161680 2.15747i
\(11\) 6.37310 + 27.9224i 0.0158807 + 0.0695778i 0.982247 0.187590i \(-0.0600677\pi\)
−0.966367 + 0.257168i \(0.917211\pi\)
\(12\) 306.144 780.042i 0.613723 1.56374i
\(13\) −2.03567 + 27.1642i −0.00334079 + 0.0445798i −0.998625 0.0524215i \(-0.983306\pi\)
0.995284 + 0.0970013i \(0.0309251\pi\)
\(14\) −140.804 + 21.2227i −0.191997 + 0.0289389i
\(15\) −1064.42 987.639i −1.22148 1.13337i
\(16\) 395.732 + 190.575i 0.386457 + 0.186108i
\(17\) −9.20043 + 6.27275i −0.00772122 + 0.00526424i −0.567175 0.823598i \(-0.691964\pi\)
0.559453 + 0.828862i \(0.311011\pi\)
\(18\) −332.828 848.033i −0.242125 0.616924i
\(19\) 2359.40 727.779i 1.49940 0.462504i 0.566936 0.823762i \(-0.308129\pi\)
0.932466 + 0.361258i \(0.117653\pi\)
\(20\) −2571.79 + 2386.27i −1.43767 + 1.33397i
\(21\) −188.426 + 236.278i −0.0932378 + 0.116917i
\(22\) 156.691 196.484i 0.0690219 0.0865507i
\(23\) 3242.52 3008.62i 1.27810 1.18590i 0.305814 0.952091i \(-0.401071\pi\)
0.972283 0.233809i \(-0.0751190\pi\)
\(24\) −2029.37 + 625.979i −0.719174 + 0.221836i
\(25\) 1079.32 + 2750.06i 0.345383 + 0.880020i
\(26\) 197.493 134.649i 0.0572953 0.0390633i
\(27\) 2335.26 + 1124.60i 0.616489 + 0.296885i
\(28\) 535.263 + 496.651i 0.129024 + 0.119717i
\(29\) −3109.96 + 468.751i −0.686689 + 0.103502i −0.483114 0.875558i \(-0.660494\pi\)
−0.203575 + 0.979059i \(0.565256\pi\)
\(30\) −952.158 + 12705.7i −0.193155 + 2.57747i
\(31\) −1819.66 + 4636.42i −0.340084 + 0.866520i 0.653858 + 0.756617i \(0.273149\pi\)
−0.993942 + 0.109903i \(0.964946\pi\)
\(32\) −1669.64 7315.18i −0.288236 1.26285i
\(33\) −39.8592 531.884i −0.00637153 0.0850222i
\(34\) 93.3686 + 28.8004i 0.0138517 + 0.00427269i
\(35\) 1139.97 548.981i 0.157298 0.0757508i
\(36\) −2335.78 + 4045.69i −0.300383 + 0.520279i
\(37\) 3028.16 + 5244.92i 0.363642 + 0.629847i 0.988557 0.150846i \(-0.0481998\pi\)
−0.624915 + 0.780693i \(0.714866\pi\)
\(38\) −17901.0 12204.7i −2.01103 1.37110i
\(39\) 112.885 494.582i 0.0118843 0.0520687i
\(40\) 8792.12 + 1325.20i 0.868847 + 0.130958i
\(41\) 7226.30 + 9061.49i 0.671361 + 0.841860i 0.994527 0.104482i \(-0.0333185\pi\)
−0.323166 + 0.946342i \(0.604747\pi\)
\(42\) 2651.83 0.231965
\(43\) 10561.7 5954.77i 0.871088 0.491127i
\(44\) −1288.71 −0.100351
\(45\) 5047.11 + 6328.88i 0.371545 + 0.465903i
\(46\) −38380.0 5784.85i −2.67430 0.403086i
\(47\) 5154.19 22582.0i 0.340342 1.49114i −0.458011 0.888946i \(-0.651438\pi\)
0.798353 0.602189i \(-0.205705\pi\)
\(48\) −6758.50 4607.87i −0.423396 0.288667i
\(49\) 8271.83 + 14327.2i 0.492166 + 0.852456i
\(50\) 12961.5 22450.0i 0.733215 1.26997i
\(51\) 186.838 89.9765i 0.0100587 0.00484399i
\(52\) −1171.25 361.284i −0.0600679 0.0185285i
\(53\) −857.384 11441.0i −0.0419262 0.559467i −0.978128 0.208004i \(-0.933303\pi\)
0.936202 0.351463i \(-0.114316\pi\)
\(54\) −5060.93 22173.4i −0.236181 1.03478i
\(55\) −815.839 + 2078.72i −0.0363662 + 0.0926596i
\(56\) 138.292 1845.38i 0.00589289 0.0786352i
\(57\) −45468.8 + 6853.32i −1.85364 + 0.279392i
\(58\) 20230.3 + 18771.0i 0.789645 + 0.732683i
\(59\) 44926.5 + 21635.5i 1.68025 + 0.809163i 0.996867 + 0.0790989i \(0.0252043\pi\)
0.683378 + 0.730064i \(0.260510\pi\)
\(60\) 53983.3 36805.2i 1.93589 1.31987i
\(61\) 12112.3 + 30861.7i 0.416776 + 1.06193i 0.972981 + 0.230884i \(0.0741617\pi\)
−0.556205 + 0.831045i \(0.687743\pi\)
\(62\) 41762.9 12882.1i 1.37978 0.425607i
\(63\) 1235.04 1145.95i 0.0392039 0.0363759i
\(64\) −32286.9 + 40486.5i −0.985318 + 1.23555i
\(65\) −1324.24 + 1660.55i −0.0388763 + 0.0487493i
\(66\) −3430.85 + 3183.37i −0.0969487 + 0.0899553i
\(67\) 21033.9 6488.10i 0.572444 0.176575i 0.00499963 0.999988i \(-0.498409\pi\)
0.567444 + 0.823412i \(0.307932\pi\)
\(68\) −183.052 466.410i −0.00480068 0.0122319i
\(69\) −68062.4 + 46404.1i −1.72101 + 1.17337i
\(70\) −10002.9 4817.17i −0.243996 0.117502i
\(71\) −50611.0 46960.2i −1.19151 1.10556i −0.992074 0.125654i \(-0.959897\pi\)
−0.199440 0.979910i \(-0.563912\pi\)
\(72\) 11707.2 1764.58i 0.266148 0.0401154i
\(73\) −130.639 + 1743.25i −0.00286923 + 0.0382872i −0.998455 0.0555727i \(-0.982302\pi\)
0.995585 + 0.0938599i \(0.0299206\pi\)
\(74\) 19415.2 49469.0i 0.412156 1.05016i
\(75\) −12242.7 53638.6i −0.251318 1.10109i
\(76\) 8302.48 + 110789.i 0.164882 + 2.20020i
\(77\) 444.121 + 136.993i 0.00853640 + 0.00263313i
\(78\) −4010.60 + 1931.40i −0.0746402 + 0.0359448i
\(79\) −32234.8 + 55832.4i −0.581109 + 1.00651i 0.414239 + 0.910168i \(0.364048\pi\)
−0.995348 + 0.0963426i \(0.969286\pi\)
\(80\) 17123.3 + 29658.5i 0.299132 + 0.518112i
\(81\) −60727.5 41403.3i −1.02843 0.701169i
\(82\) 22630.4 99150.1i 0.371670 1.62839i
\(83\) −41947.4 6322.55i −0.668358 0.100739i −0.193906 0.981020i \(-0.562116\pi\)
−0.474452 + 0.880281i \(0.657354\pi\)
\(84\) −8478.41 10631.6i −0.131104 0.164399i
\(85\) −868.218 −0.0130341
\(86\) −98634.5 39878.7i −1.43808 0.581426i
\(87\) 58571.4 0.829636
\(88\) 2036.36 + 2553.51i 0.0280316 + 0.0351505i
\(89\) 26562.8 + 4003.70i 0.355467 + 0.0535781i 0.324349 0.945938i \(-0.394855\pi\)
0.0311186 + 0.999516i \(0.490093\pi\)
\(90\) 15805.9 69250.1i 0.205690 0.901186i
\(91\) 365.238 + 249.015i 0.00462352 + 0.00315226i
\(92\) 99516.0 + 172367.i 1.22581 + 2.12317i
\(93\) 46378.4 80329.7i 0.556042 0.963094i
\(94\) −183119. + 88185.5i −2.13754 + 1.02938i
\(95\) 183962. + 56744.8i 2.09131 + 0.645085i
\(96\) 10442.4 + 139344.i 0.115644 + 1.54316i
\(97\) 16981.5 + 74400.7i 0.183251 + 0.802875i 0.980069 + 0.198656i \(0.0636576\pi\)
−0.796818 + 0.604219i \(0.793485\pi\)
\(98\) 53035.2 135131.i 0.557826 1.42132i
\(99\) −222.210 + 2965.18i −0.00227864 + 0.0304063i
\(100\) −131446. + 19812.3i −1.31446 + 0.198123i
\(101\) 44412.0 + 41208.3i 0.433209 + 0.401959i 0.866406 0.499340i \(-0.166424\pi\)
−0.433197 + 0.901299i \(0.642615\pi\)
\(102\) −1639.46 789.520i −0.0156027 0.00751386i
\(103\) 29251.3 19943.2i 0.271677 0.185226i −0.419817 0.907609i \(-0.637906\pi\)
0.691493 + 0.722383i \(0.256953\pi\)
\(104\) 1134.90 + 2891.67i 0.0102890 + 0.0262159i
\(105\) −22516.5 + 6945.42i −0.199309 + 0.0614788i
\(106\) −73798.7 + 68475.2i −0.637946 + 0.591928i
\(107\) −121409. + 152242.i −1.02516 + 1.28551i −0.0674637 + 0.997722i \(0.521491\pi\)
−0.957695 + 0.287786i \(0.907081\pi\)
\(108\) −72715.8 + 91182.7i −0.599887 + 0.752234i
\(109\) 71867.2 66683.0i 0.579381 0.537587i −0.335117 0.942176i \(-0.608776\pi\)
0.914499 + 0.404589i \(0.132585\pi\)
\(110\) 18724.2 5775.66i 0.147544 0.0455114i
\(111\) −41205.9 104991.i −0.317433 0.808807i
\(112\) 5889.18 4015.18i 0.0443619 0.0302454i
\(113\) −166849. 80350.3i −1.22921 0.591958i −0.297351 0.954768i \(-0.596103\pi\)
−0.931863 + 0.362810i \(0.881818\pi\)
\(114\) 295774. + 274438.i 2.13156 + 1.97780i
\(115\) 341033. 51402.5i 2.40465 0.362443i
\(116\) 10575.5 141121.i 0.0729722 0.973747i
\(117\) −1033.23 + 2632.64i −0.00697805 + 0.0177798i
\(118\) −97363.9 426579.i −0.643714 2.82030i
\(119\) 13.5038 + 180.196i 8.74155e−5 + 0.00116648i
\(120\) −158230. 48807.4i −1.00308 0.309409i
\(121\) 144363. 69521.5i 0.896380 0.431674i
\(122\) 145457. 251938.i 0.884777 1.53248i
\(123\) −107922. 186926.i −0.643201 1.11406i
\(124\) −185171. 126247.i −1.08148 0.737340i
\(125\) 2961.93 12977.1i 0.0169551 0.0742851i
\(126\) −14618.5 2203.38i −0.0820305 0.0123641i
\(127\) 28940.6 + 36290.4i 0.159220 + 0.199656i 0.855042 0.518559i \(-0.173531\pi\)
−0.695822 + 0.718214i \(0.744960\pi\)
\(128\) 214287. 1.15603
\(129\) −211023. + 80342.6i −1.11649 + 0.425081i
\(130\) 18636.9 0.0967196
\(131\) −214355. 268793.i −1.09133 1.36848i −0.923915 0.382597i \(-0.875030\pi\)
−0.167414 0.985887i \(-0.553542\pi\)
\(132\) 23731.7 + 3576.98i 0.118548 + 0.0178682i
\(133\) 8915.94 39063.3i 0.0437057 0.191487i
\(134\) −159586. 108804.i −0.767774 0.523460i
\(135\) 101046. + 175018.i 0.477185 + 0.826508i
\(136\) −634.918 + 1099.71i −0.00294354 + 0.00509837i
\(137\) 64979.1 31292.3i 0.295782 0.142441i −0.280107 0.959969i \(-0.590370\pi\)
0.575890 + 0.817527i \(0.304656\pi\)
\(138\) 690716. + 213058.i 3.08746 + 0.952356i
\(139\) −6574.44 87729.8i −0.0288617 0.385132i −0.992865 0.119243i \(-0.961953\pi\)
0.964003 0.265890i \(-0.0856657\pi\)
\(140\) 12668.6 + 55504.8i 0.0546272 + 0.239337i
\(141\) −157594. + 401544.i −0.667564 + 1.70093i
\(142\) −45273.1 + 604127.i −0.188417 + 2.51425i
\(143\) −771.462 + 116.279i −0.00315482 + 0.000475512i
\(144\) 33428.3 + 31016.9i 0.134341 + 0.124650i
\(145\) −220937. 106398.i −0.872667 0.420255i
\(146\) 12674.1 8641.03i 0.0492078 0.0335493i
\(147\) −112560. 286798.i −0.429625 1.09467i
\(148\) −260403. + 80323.8i −0.977220 + 0.301432i
\(149\) −86482.7 + 80244.2i −0.319127 + 0.296106i −0.823427 0.567422i \(-0.807941\pi\)
0.504300 + 0.863528i \(0.331750\pi\)
\(150\) −301001. + 377444.i −1.09230 + 1.36970i
\(151\) −84009.0 + 105344.i −0.299836 + 0.375982i −0.908812 0.417206i \(-0.863009\pi\)
0.608976 + 0.793189i \(0.291581\pi\)
\(152\) 206404. 191515.i 0.724618 0.672347i
\(153\) −1104.72 + 340.762i −0.00381527 + 0.00117686i
\(154\) −1489.95 3796.32i −0.00506254 0.0128991i
\(155\) −320866. + 218763.i −1.07274 + 0.731382i
\(156\) 20566.0 + 9904.06i 0.0676610 + 0.0325838i
\(157\) −122231. 113414.i −0.395761 0.367213i 0.457042 0.889445i \(-0.348909\pi\)
−0.852803 + 0.522232i \(0.825099\pi\)
\(158\) 559386. 84313.9i 1.78266 0.268693i
\(159\) −15967.2 + 213067.i −0.0500882 + 0.668381i
\(160\) 213736. 544590.i 0.660051 1.68178i
\(161\) −15972.7 69980.8i −0.0485638 0.212772i
\(162\) 48195.8 + 643129.i 0.144285 + 1.92535i
\(163\) −11682.7 3603.65i −0.0344410 0.0106236i 0.277487 0.960729i \(-0.410499\pi\)
−0.311928 + 0.950106i \(0.600975\pi\)
\(164\) −469862. + 226274.i −1.36415 + 0.656938i
\(165\) 20793.6 36015.5i 0.0594592 0.102986i
\(166\) 186117. + 322365.i 0.524224 + 0.907982i
\(167\) 289500. + 197378.i 0.803263 + 0.547655i 0.893920 0.448227i \(-0.147944\pi\)
−0.0906570 + 0.995882i \(0.528897\pi\)
\(168\) −7668.79 + 33599.2i −0.0209630 + 0.0918450i
\(169\) 366412. + 55227.8i 0.986855 + 0.148744i
\(170\) 4749.99 + 5956.29i 0.0126058 + 0.0158072i
\(171\) 256346. 0.670402
\(172\) 155474. + 522941.i 0.400716 + 1.34782i
\(173\) 579405. 1.47186 0.735931 0.677056i \(-0.236745\pi\)
0.735931 + 0.677056i \(0.236745\pi\)
\(174\) −320442. 401822.i −0.802373 1.00614i
\(175\) 47405.8 + 7145.28i 0.117014 + 0.0176370i
\(176\) −2799.26 + 12264.3i −0.00681178 + 0.0298444i
\(177\) −767276. 523120.i −1.84085 1.25507i
\(178\) −117857. 204135.i −0.278809 0.482911i
\(179\) 180975. 313458.i 0.422169 0.731218i −0.573983 0.818867i \(-0.694602\pi\)
0.996151 + 0.0876498i \(0.0279356\pi\)
\(180\) −328169. + 158038.i −0.754947 + 0.363563i
\(181\) −360597. 111229.i −0.818136 0.252362i −0.142687 0.989768i \(-0.545574\pi\)
−0.675449 + 0.737406i \(0.736050\pi\)
\(182\) −289.868 3868.02i −0.000648667 0.00865585i
\(183\) −137389. 601942.i −0.303267 1.32870i
\(184\) 184286. 469553.i 0.401280 1.02245i
\(185\) −35288.2 + 470889.i −0.0758055 + 1.01155i
\(186\) −804825. + 121308.i −1.70576 + 0.257103i
\(187\) −233.785 216.921i −0.000488892 0.000453626i
\(188\) 939017. + 452207.i 1.93767 + 0.933131i
\(189\) 34752.7 23694.0i 0.0707675 0.0482485i
\(190\) −617159. 1.57250e6i −1.24026 3.16013i
\(191\) −412155. + 127133.i −0.817480 + 0.252159i −0.675169 0.737663i \(-0.735929\pi\)
−0.142311 + 0.989822i \(0.545453\pi\)
\(192\) 706944. 655948.i 1.38399 1.28415i
\(193\) −405567. + 508565.i −0.783736 + 0.982773i 0.216244 + 0.976339i \(0.430619\pi\)
−0.999979 + 0.00643389i \(0.997952\pi\)
\(194\) 417511. 523543.i 0.796460 0.998729i
\(195\) 28995.2 26903.6i 0.0546059 0.0506669i
\(196\) −711328. + 219416.i −1.32260 + 0.407969i
\(197\) −12340.5 31443.2i −0.0226552 0.0577246i 0.919099 0.394028i \(-0.128919\pi\)
−0.941754 + 0.336303i \(0.890823\pi\)
\(198\) 21557.9 14698.0i 0.0390791 0.0266437i
\(199\) 82872.2 + 39909.1i 0.148346 + 0.0714397i 0.506584 0.862191i \(-0.330908\pi\)
−0.358238 + 0.933630i \(0.616622\pi\)
\(200\) 246963. + 229148.i 0.436573 + 0.405081i
\(201\) −405351. + 61096.8i −0.707686 + 0.106667i
\(202\) 39727.9 530132.i 0.0685042 0.914125i
\(203\) −18646.1 + 47509.6i −0.0317577 + 0.0809173i
\(204\) 2076.35 + 9097.09i 0.00349322 + 0.0153048i
\(205\) 67531.8 + 901149.i 0.112234 + 1.49766i
\(206\) −296850. 91566.2i −0.487382 0.150337i
\(207\) 413758. 199255.i 0.671151 0.323209i
\(208\) −5982.38 + 10361.8i −0.00958773 + 0.0166064i
\(209\) 35358.0 + 61241.9i 0.0559915 + 0.0969802i
\(210\) 170835. + 116473.i 0.267318 + 0.182254i
\(211\) 86660.0 379682.i 0.134002 0.587103i −0.862683 0.505746i \(-0.831217\pi\)
0.996685 0.0813573i \(-0.0259255\pi\)
\(212\) 510477. + 76942.0i 0.780075 + 0.117577i
\(213\) 801665. + 1.00526e6i 1.21072 + 1.51820i
\(214\) 1.70866e6 2.55047
\(215\) 941946. + 80273.2i 1.38973 + 0.118433i
\(216\) 295577. 0.431058
\(217\) 50394.1 + 63192.2i 0.0726491 + 0.0910991i
\(218\) −850652. 128215.i −1.21230 0.182725i
\(219\) 7244.36 31739.6i 0.0102068 0.0447189i
\(220\) −83020.6 56602.5i −0.115646 0.0788459i
\(221\) −151.665 262.691i −0.000208884 0.000361797i
\(222\) −494841. + 857090.i −0.673881 + 1.16720i
\(223\) 517683. 249303.i 0.697111 0.335711i −0.0515442 0.998671i \(-0.516414\pi\)
0.748655 + 0.662960i \(0.230700\pi\)
\(224\) −116352. 35889.9i −0.154937 0.0477916i
\(225\) 22921.1 + 305861.i 0.0301841 + 0.402779i
\(226\) 361592. + 1.58424e6i 0.470921 + 2.06324i
\(227\) −365333. + 930854.i −0.470571 + 1.19899i 0.476845 + 0.878988i \(0.341780\pi\)
−0.947415 + 0.320007i \(0.896315\pi\)
\(228\) 154618. 2.06324e6i 0.196981 2.62853i
\(229\) 37843.7 5704.01i 0.0476875 0.00718773i −0.125155 0.992137i \(-0.539943\pi\)
0.172843 + 0.984949i \(0.444705\pi\)
\(230\) −2.21842e6 2.05839e6i −2.76518 2.56572i
\(231\) −7798.31 3755.47i −0.00961547 0.00463057i
\(232\) −296335. + 202038.i −0.361463 + 0.246441i
\(233\) −460742. 1.17395e6i −0.555992 1.41664i −0.881988 0.471273i \(-0.843795\pi\)
0.325996 0.945371i \(-0.394300\pi\)
\(234\) 23713.6 7314.69i 0.0283112 0.00873285i
\(235\) 1.32388e6 1.22839e6i 1.56380 1.45099i
\(236\) −1.39893e6 + 1.75420e6i −1.63500 + 2.05022i
\(237\) 748579. 938689.i 0.865699 1.08555i
\(238\) 1162.33 1078.48i 0.00133011 0.00123416i
\(239\) 1.00821e6 310993.i 1.14172 0.352173i 0.334481 0.942403i \(-0.391439\pi\)
0.807235 + 0.590230i \(0.200963\pi\)
\(240\) −233007. 593693.i −0.261121 0.665325i
\(241\) −591536. + 403303.i −0.656053 + 0.447289i −0.845049 0.534688i \(-0.820429\pi\)
0.188996 + 0.981978i \(0.439477\pi\)
\(242\) −1.26675e6 610033.i −1.39044 0.669599i
\(243\) 541678. + 502604.i 0.588472 + 0.546022i
\(244\) −1.47511e6 + 222338.i −1.58617 + 0.239077i
\(245\) −96394.7 + 1.28630e6i −0.102598 + 1.36907i
\(246\) −691946. + 1.76305e6i −0.729012 + 1.85749i
\(247\) 14966.5 + 65572.7i 0.0156091 + 0.0683881i
\(248\) 42445.6 + 566398.i 0.0438232 + 0.584780i
\(249\) 754917. + 232861.i 0.771616 + 0.238012i
\(250\) −105232. + 50677.1i −0.106487 + 0.0512817i
\(251\) −78191.7 + 135432.i −0.0783387 + 0.135687i −0.902533 0.430620i \(-0.858295\pi\)
0.824195 + 0.566307i \(0.191628\pi\)
\(252\) 37904.4 + 65652.4i 0.0376001 + 0.0651252i
\(253\) 104673. + 71364.7i 0.102809 + 0.0700943i
\(254\) 90632.3 397086.i 0.0881452 0.386189i
\(255\) 15988.4 + 2409.86i 0.0153976 + 0.00232082i
\(256\) −139174. 174519.i −0.132727 0.166434i
\(257\) 150007. 0.141671 0.0708354 0.997488i \(-0.477434\pi\)
0.0708354 + 0.997488i \(0.477434\pi\)
\(258\) 1.70568e6 + 1.00815e6i 1.59532 + 0.942918i
\(259\) 98280.2 0.0910368
\(260\) −59585.7 74718.1i −0.0546649 0.0685477i
\(261\) −322881. 48666.5i −0.293387 0.0442210i
\(262\) −671289. + 2.94111e6i −0.604166 + 2.64703i
\(263\) −612461. 417569.i −0.545996 0.372254i 0.258685 0.965962i \(-0.416711\pi\)
−0.804680 + 0.593708i \(0.797663\pi\)
\(264\) −30412.2 52675.5i −0.0268558 0.0465156i
\(265\) 447277. 774706.i 0.391256 0.677676i
\(266\) −316767. + 152547.i −0.274496 + 0.132190i
\(267\) −478046. 147458.i −0.410385 0.126587i
\(268\) 74016.0 + 987675.i 0.0629490 + 0.839996i
\(269\) −237484. 1.04049e6i −0.200103 0.876709i −0.970873 0.239595i \(-0.922985\pi\)
0.770770 0.637114i \(-0.219872\pi\)
\(270\) 647864. 1.65073e6i 0.540847 1.37806i
\(271\) −124676. + 1.66368e6i −0.103124 + 1.37609i 0.670248 + 0.742137i \(0.266188\pi\)
−0.773372 + 0.633953i \(0.781431\pi\)
\(272\) −4836.33 + 728.960i −0.00396364 + 0.000597422i
\(273\) −6034.73 5599.41i −0.00490062 0.00454712i
\(274\) −570174. 274581.i −0.458808 0.220950i
\(275\) −69909.7 + 47663.6i −0.0557450 + 0.0380063i
\(276\) −1.35417e6 3.45038e6i −1.07004 2.72643i
\(277\) 1.38855e6 428311.i 1.08733 0.335398i 0.301267 0.953540i \(-0.402591\pi\)
0.786066 + 0.618142i \(0.212114\pi\)
\(278\) −565890. + 525069.i −0.439157 + 0.407478i
\(279\) −322411. + 404290.i −0.247970 + 0.310944i
\(280\) 89961.9 112809.i 0.0685746 0.0859899i
\(281\) −515690. + 478490.i −0.389603 + 0.361499i −0.850518 0.525945i \(-0.823712\pi\)
0.460915 + 0.887444i \(0.347521\pi\)
\(282\) 3.61693e6 1.11568e6i 2.70843 0.835440i
\(283\) −416667. 1.06165e6i −0.309260 0.787980i −0.998014 0.0629861i \(-0.979938\pi\)
0.688755 0.724994i \(-0.258158\pi\)
\(284\) 2.56679e6 1.75001e6i 1.88840 1.28749i
\(285\) −3.23018e6 1.55557e6i −2.35567 1.13443i
\(286\) 5018.35 + 4656.35i 0.00362782 + 0.00336613i
\(287\) 185980. 28032.0i 0.133279 0.0200886i
\(288\) 58215.1 776827.i 0.0413575 0.551878i
\(289\) −518687. + 1.32159e6i −0.365309 + 0.930792i
\(290\) 478811. + 2.09781e6i 0.334325 + 1.46477i
\(291\) −106207. 1.41723e6i −0.0735226 0.981091i
\(292\) −75164.8 23185.3i −0.0515890 0.0159131i
\(293\) −2.17055e6 + 1.04528e6i −1.47707 + 0.711320i −0.987053 0.160393i \(-0.948724\pi\)
−0.490017 + 0.871713i \(0.663009\pi\)
\(294\) −1.35173e6 + 2.34126e6i −0.912054 + 1.57972i
\(295\) 1.94397e6 + 3.36705e6i 1.30057 + 2.25265i
\(296\) 570636. + 389053.i 0.378556 + 0.258095i
\(297\) −16518.7 + 72373.1i −0.0108664 + 0.0476087i
\(298\) 1.02365e6 + 154290.i 0.667744 + 0.100646i
\(299\) 75126.0 + 94205.0i 0.0485973 + 0.0609391i
\(300\) 2.47559e6 1.58809
\(301\) 2009.91 196746.i 0.00127867 0.125167i
\(302\) 1.18231e6 0.745956
\(303\) −703475. 882129.i −0.440192 0.551983i
\(304\) 1.07239e6 + 161636.i 0.665530 + 0.100313i
\(305\) −575210. + 2.52016e6i −0.354060 + 1.55124i
\(306\) 8381.66 + 5714.52i 0.00511713 + 0.00348880i
\(307\) −1.40386e6 2.43156e6i −0.850117 1.47245i −0.881102 0.472927i \(-0.843198\pi\)
0.0309845 0.999520i \(-0.490136\pi\)
\(308\) −10456.4 + 18111.0i −0.00628066 + 0.0108784i
\(309\) −594022. + 286066.i −0.353921 + 0.170439i
\(310\) 3.25624e6 + 1.00442e6i 1.92447 + 0.593622i
\(311\) −167380. 2.23353e6i −0.0981303 1.30946i −0.801226 0.598362i \(-0.795818\pi\)
0.703096 0.711095i \(-0.251801\pi\)
\(312\) −12873.1 56400.5i −0.00748678 0.0328017i
\(313\) −36380.5 + 92696.0i −0.0209898 + 0.0534811i −0.940984 0.338450i \(-0.890097\pi\)
0.919995 + 0.391931i \(0.128193\pi\)
\(314\) −109340. + 1.45904e6i −0.0625826 + 0.835106i
\(315\) 129895. 19578.6i 0.0737594 0.0111174i
\(316\) −2.12650e6 1.97310e6i −1.19797 1.11156i
\(317\) −861893. 415066.i −0.481732 0.231990i 0.177225 0.984170i \(-0.443288\pi\)
−0.658957 + 0.752181i \(0.729002\pi\)
\(318\) 1.54908e6 1.05614e6i 0.859023 0.585672i
\(319\) −32908.7 83850.1i −0.0181065 0.0461346i
\(320\) −3.85822e6 + 1.19010e6i −2.10626 + 0.649695i
\(321\) 2.65833e6 2.46657e6i 1.43995 1.33607i
\(322\) −392708. + 492440.i −0.211072 + 0.264676i
\(323\) −17142.3 + 21495.8i −0.00914248 + 0.0114643i
\(324\) 2.42431e6 2.24943e6i 1.28300 1.19045i
\(325\) −76900.3 + 23720.6i −0.0403850 + 0.0124571i
\(326\) 39193.5 + 99863.3i 0.0204254 + 0.0520429i
\(327\) −1.50853e6 + 1.02850e6i −0.780163 + 0.531906i
\(328\) 1.19081e6 + 573463.i 0.611163 + 0.294320i
\(329\) −275538. 255662.i −0.140343 0.130220i
\(330\) −360841. + 54388.0i −0.182402 + 0.0274927i
\(331\) 197778. 2.63916e6i 0.0992220 1.32403i −0.696147 0.717899i \(-0.745104\pi\)
0.795369 0.606126i \(-0.207277\pi\)
\(332\) 697357. 1.77684e6i 0.347224 0.884713i
\(333\) 139916. + 613011.i 0.0691443 + 0.302941i
\(334\) −229759. 3.06592e6i −0.112696 1.50382i
\(335\) 1.64001e6 + 505875.i 0.798424 + 0.246281i
\(336\) −119595. + 57593.8i −0.0577915 + 0.0278309i
\(337\) −1.30044e6 + 2.25243e6i −0.623757 + 1.08038i 0.365023 + 0.930998i \(0.381061\pi\)
−0.988780 + 0.149380i \(0.952272\pi\)
\(338\) −1.62574e6 2.81587e6i −0.774035 1.34067i
\(339\) 2.84953e6 + 1.94277e6i 1.34671 + 0.918170i
\(340\) 8693.09 38086.9i 0.00407828 0.0178681i
\(341\) −141057. 21260.9i −0.0656914 0.00990138i
\(342\) −1.40246e6 1.75862e6i −0.648372 0.813033i
\(343\) 541206. 0.248386
\(344\) 790511. 1.13439e6i 0.360174 0.516854i
\(345\) −6.42285e6 −2.90523
\(346\) −3.16990e6 3.97493e6i −1.42349 1.78501i
\(347\) −1.57890e6 237981.i −0.703932 0.106101i −0.212685 0.977121i \(-0.568221\pi\)
−0.491247 + 0.871020i \(0.663459\pi\)
\(348\) −586450. + 2.56941e6i −0.259587 + 1.13733i
\(349\) 1.49754e6 + 1.02101e6i 0.658135 + 0.448709i 0.845783 0.533528i \(-0.179134\pi\)
−0.187648 + 0.982236i \(0.560086\pi\)
\(350\) −210336. 364313.i −0.0917791 0.158966i
\(351\) −35302.7 + 61146.0i −0.0152947 + 0.0264911i
\(352\) 193616. 93240.8i 0.0832886 0.0401097i
\(353\) 3.53882e6 + 1.09158e6i 1.51155 + 0.466251i 0.936144 0.351618i \(-0.114368\pi\)
0.575405 + 0.817869i \(0.304845\pi\)
\(354\) 608942. + 8.12576e6i 0.258266 + 3.44632i
\(355\) −1.19786e6 5.24818e6i −0.504471 2.21023i
\(356\) −441596. + 1.12517e6i −0.184672 + 0.470536i
\(357\) 251.483 3355.81i 0.000104433 0.00139356i
\(358\) −3.14054e6 + 473361.i −1.29508 + 0.195202i
\(359\) 2.17078e6 + 2.01419e6i 0.888954 + 0.824829i 0.985355 0.170514i \(-0.0545428\pi\)
−0.0964014 + 0.995343i \(0.530733\pi\)
\(360\) 831704. + 400528.i 0.338230 + 0.162883i
\(361\) 2.99127e6 2.03941e6i 1.20806 0.823639i
\(362\) 1.20974e6 + 3.08236e6i 0.485199 + 1.23627i
\(363\) −2.85143e6 + 879550.i −1.13578 + 0.350343i
\(364\) −14580.7 + 13528.9i −0.00576801 + 0.00535193i
\(365\) −84982.9 + 106565.i −0.0333887 + 0.0418681i
\(366\) −3.37789e6 + 4.23574e6i −1.31808 + 1.65283i
\(367\) 3.37231e6 3.12904e6i 1.30696 1.21268i 0.345280 0.938500i \(-0.387784\pi\)
0.961678 0.274180i \(-0.0884065\pi\)
\(368\) 1.85654e6 572666.i 0.714635 0.220436i
\(369\) 439615. + 1.12012e6i 0.168076 + 0.428252i
\(370\) 3.42353e6 2.33412e6i 1.30008 0.886379i
\(371\) −167744. 80781.4i −0.0632722 0.0304703i
\(372\) 3.05953e6 + 2.83883e6i 1.14630 + 1.06361i
\(373\) −3.67691e6 + 554205.i −1.36839 + 0.206252i −0.791801 0.610780i \(-0.790856\pi\)
−0.576593 + 0.817032i \(0.695618\pi\)
\(374\) −209.128 + 2790.62i −7.73096e−5 + 0.00103162i
\(375\) −90564.1 + 230754.i −0.0332566 + 0.0847364i
\(376\) −587767. 2.57518e6i −0.214405 0.939372i
\(377\) −6402.37 85433.7i −0.00232000 0.0309582i
\(378\) −352680. 108787.i −0.126955 0.0391606i
\(379\) −692232. + 333361.i −0.247545 + 0.119211i −0.553542 0.832821i \(-0.686724\pi\)
0.305998 + 0.952032i \(0.401010\pi\)
\(380\) −4.33120e6 + 7.50187e6i −1.53868 + 2.66508i
\(381\) −432216. 748620.i −0.152542 0.264210i
\(382\) 3.12706e6 + 2.13199e6i 1.09642 + 0.747528i
\(383\) −651693. + 2.85525e6i −0.227011 + 0.994598i 0.725052 + 0.688694i \(0.241816\pi\)
−0.952062 + 0.305904i \(0.901041\pi\)
\(384\) −3.94613e6 594783.i −1.36566 0.205840i
\(385\) 22594.0 + 28332.0i 0.00776858 + 0.00974149i
\(386\) 5.70779e6 1.94984
\(387\) 1.23004e6 267560.i 0.417487 0.0908120i
\(388\) −3.43383e6 −1.15798
\(389\) −230714. 289306.i −0.0773036 0.0969357i 0.741676 0.670758i \(-0.234031\pi\)
−0.818980 + 0.573823i \(0.805460\pi\)
\(390\) −343200. 51729.1i −0.114258 0.0172216i
\(391\) −10960.3 + 48020.2i −0.00362560 + 0.0158848i
\(392\) 1.55877e6 + 1.06275e6i 0.512351 + 0.349315i
\(393\) 3.20131e6 + 5.54483e6i 1.04555 + 1.81095i
\(394\) −148197. + 256685.i −0.0480949 + 0.0833029i
\(395\) −4.52889e6 + 2.18100e6i −1.46049 + 0.703335i
\(396\) −127851. 39437.0i −0.0409702 0.0126376i
\(397\) −251074. 3.35035e6i −0.0799513 1.06688i −0.882507 0.470299i \(-0.844146\pi\)
0.802556 0.596577i \(-0.203473\pi\)
\(398\) −179599. 786875.i −0.0568324 0.248999i
\(399\) −272614. + 694608.i −0.0857265 + 0.218428i
\(400\) −96970.4 + 1.29398e6i −0.0303033 + 0.404369i
\(401\) 5.21982e6 786761.i 1.62104 0.244333i 0.725145 0.688596i \(-0.241773\pi\)
0.895896 + 0.444263i \(0.146534\pi\)
\(402\) 2.63680e6 + 2.44660e6i 0.813791 + 0.755087i
\(403\) −122240. 58867.8i −0.0374931 0.0180557i
\(404\) −2.25240e6 + 1.53566e6i −0.686582 + 0.468104i
\(405\) −2.09365e6 5.33454e6i −0.634259 1.61607i
\(406\) 427946. 132004.i 0.128847 0.0397440i
\(407\) −127152. + 117980.i −0.0380485 + 0.0353038i
\(408\) 14744.5 18489.0i 0.00438510 0.00549875i
\(409\) −144964. + 181780.i −0.0428502 + 0.0537325i −0.802795 0.596255i \(-0.796655\pi\)
0.759945 + 0.649988i \(0.225226\pi\)
\(410\) 5.81275e6 5.39344e6i 1.70774 1.58455i
\(411\) −1.28345e6 + 395893.i −0.374780 + 0.115604i
\(412\) 581986. + 1.48288e6i 0.168915 + 0.430389i
\(413\) 668584. 455833.i 0.192877 0.131502i
\(414\) −3.63061e6 1.74841e6i −1.04107 0.501352i
\(415\) −2.42462e6 2.24972e6i −0.691072 0.641221i
\(416\) 202110. 30463.1i 0.0572603 0.00863060i
\(417\) −122437. + 1.63380e6i −0.0344803 + 0.460108i
\(418\) 226700. 577621.i 0.0634615 0.161697i
\(419\) −223786. 980468.i −0.0622726 0.272834i 0.934200 0.356749i \(-0.116115\pi\)
−0.996473 + 0.0839148i \(0.973258\pi\)
\(420\) −79233.1 1.05729e6i −0.0219171 0.292464i
\(421\) −1.74004e6 536730.i −0.478468 0.147588i 0.0461342 0.998935i \(-0.485310\pi\)
−0.524602 + 0.851347i \(0.675786\pi\)
\(422\) −3.07887e6 + 1.48271e6i −0.841610 + 0.405298i
\(423\) 1.20239e6 2.08261e6i 0.326735 0.565922i
\(424\) −654177. 1.13307e6i −0.176718 0.306084i
\(425\) −27180.7 18531.5i −0.00729941 0.00497666i
\(426\) 2.51055e6 1.09994e7i 0.670262 2.93661i
\(427\) 531997. + 80185.6i 0.141202 + 0.0212827i
\(428\) −5.46292e6 6.85028e6i −1.44150 1.80759i
\(429\) 14529.3 0.00381156
\(430\) −4.60264e6 6.90127e6i −1.20043 1.79994i
\(431\) −2.68994e6 −0.697509 −0.348754 0.937214i \(-0.613395\pi\)
−0.348754 + 0.937214i \(0.613395\pi\)
\(432\) 709816. + 890082.i 0.182994 + 0.229467i
\(433\) −4.58059e6 690413.i −1.17409 0.176966i −0.467111 0.884199i \(-0.654705\pi\)
−0.706981 + 0.707233i \(0.749943\pi\)
\(434\) 157818. 691444.i 0.0402190 0.176211i
\(435\) 3.77327e6 + 2.57257e6i 0.956081 + 0.651845i
\(436\) 2.20567e6 + 3.82033e6i 0.555679 + 0.962464i
\(437\) 5.46081e6 9.45839e6i 1.36790 2.36927i
\(438\) −257379. + 123947.i −0.0641044 + 0.0308711i
\(439\) −1.39299e6 429681.i −0.344975 0.106411i 0.117426 0.993082i \(-0.462536\pi\)
−0.462401 + 0.886671i \(0.653012\pi\)
\(440\) 19030.4 + 253942.i 0.00468614 + 0.0625322i
\(441\) 382200. + 1.67453e6i 0.0935823 + 0.410011i
\(442\) −972.406 + 2477.65i −0.000236751 + 0.000603232i
\(443\) −523764. + 6.98915e6i −0.126802 + 1.69206i 0.464474 + 0.885587i \(0.346244\pi\)
−0.591276 + 0.806470i \(0.701375\pi\)
\(444\) 5.01831e6 756389.i 1.20809 0.182091i
\(445\) 1.53537e6 + 1.42462e6i 0.367547 + 0.341034i
\(446\) −4.54253e6 2.18757e6i −1.08134 0.520744i
\(447\) 1.81532e6 1.23766e6i 0.429719 0.292977i
\(448\) 307011. + 782250.i 0.0722701 + 0.184141i
\(449\) 7.07883e6 2.18353e6i 1.65709 0.511144i 0.681698 0.731633i \(-0.261242\pi\)
0.975389 + 0.220490i \(0.0707655\pi\)
\(450\) 1.97292e6 1.83060e6i 0.459280 0.426149i
\(451\) −206964. + 259525.i −0.0479131 + 0.0600812i
\(452\) 5.19538e6 6.51481e6i 1.19611 1.49988i
\(453\) 1.83943e6 1.70675e6i 0.421152 0.390772i
\(454\) 8.38473e6 2.58635e6i 1.90919 0.588907i
\(455\) 12592.0 + 32083.9i 0.00285145 + 0.00726539i
\(456\) −4.33253e6 + 2.95387e6i −0.975731 + 0.665242i
\(457\) 4.90018e6 + 2.35980e6i 1.09754 + 0.528549i 0.892885 0.450285i \(-0.148677\pi\)
0.204658 + 0.978834i \(0.434392\pi\)
\(458\) −246173. 228415.i −0.0548373 0.0508816i
\(459\) −28539.7 + 4301.67i −0.00632292 + 0.000953027i
\(460\) −1.15970e6 + 1.54751e7i −0.255535 + 3.40987i
\(461\) −1.15629e6 + 2.94619e6i −0.253406 + 0.645667i −0.999803 0.0198332i \(-0.993686\pi\)
0.746398 + 0.665500i \(0.231782\pi\)
\(462\) 16900.4 + 74045.3i 0.00368376 + 0.0161396i
\(463\) 476134. + 6.35356e6i 0.103223 + 1.37742i 0.772789 + 0.634663i \(0.218861\pi\)
−0.669566 + 0.742752i \(0.733520\pi\)
\(464\) −1.32004e6 407180.i −0.284638 0.0877993i
\(465\) 6.51600e6 3.13794e6i 1.39749 0.672996i
\(466\) −5.53304e6 + 9.58351e6i −1.18032 + 2.04437i
\(467\) −1.92781e6 3.33907e6i −0.409046 0.708489i 0.585737 0.810501i \(-0.300805\pi\)
−0.994783 + 0.102013i \(0.967472\pi\)
\(468\) −105143. 71685.2i −0.0221904 0.0151292i
\(469\) 79484.9 348246.i 0.0166860 0.0731062i
\(470\) −1.56701e7 2.36189e6i −3.27210 0.493190i
\(471\) 1.93611e6 + 2.42781e6i 0.402141 + 0.504268i
\(472\) 5.68641e6 1.17485
\(473\) 233582. + 256957.i 0.0480050 + 0.0528089i
\(474\) −1.05352e7 −2.15376
\(475\) 4.54799e6 + 5.70300e6i 0.924880 + 1.15976i
\(476\) −8040.01 1211.84i −0.00162645 0.000245147i
\(477\) 265057. 1.16129e6i 0.0533387 0.233692i
\(478\) −7.64942e6 5.21529e6i −1.53130 1.04402i
\(479\) −3.52747e6 6.10977e6i −0.702466 1.21671i −0.967598 0.252494i \(-0.918749\pi\)
0.265133 0.964212i \(-0.414584\pi\)
\(480\) −5.44756e6 + 9.43545e6i −1.07919 + 1.86922i
\(481\) −148638. + 71580.4i −0.0292933 + 0.0141069i
\(482\) 6.00308e6 + 1.85170e6i 1.17695 + 0.363040i
\(483\) 99897.6 + 1.33304e6i 0.0194844 + 0.260001i
\(484\) 1.60432e6 + 7.02898e6i 0.311299 + 1.36389i
\(485\) −2.17385e6 + 5.53888e6i −0.419638 + 1.06922i
\(486\) 484548. 6.46584e6i 0.0930563 1.24175i
\(487\) −3.22080e6 + 485458.i −0.615378 + 0.0927533i −0.449332 0.893365i \(-0.648338\pi\)
−0.166046 + 0.986118i \(0.553100\pi\)
\(488\) 2.77146e6 + 2.57154e6i 0.526817 + 0.488815i
\(489\) 205137. + 98788.7i 0.0387946 + 0.0186825i
\(490\) 9.35185e6 6.37598e6i 1.75957 1.19966i
\(491\) 1.95786e6 + 4.98855e6i 0.366504 + 0.933837i 0.988555 + 0.150860i \(0.0482043\pi\)
−0.622051 + 0.782977i \(0.713700\pi\)
\(492\) 9.28063e6 2.86270e6i 1.72848 0.533166i
\(493\) 25672.6 23820.7i 0.00475722 0.00441405i
\(494\) 367972. 461422.i 0.0678417 0.0850708i
\(495\) −144552. + 181262.i −0.0265161 + 0.0332502i
\(496\) −1.60368e6 + 1.48800e6i −0.292694 + 0.271581i
\(497\) −1.07061e6 + 330240.i −0.194420 + 0.0599706i
\(498\) −2.53261e6 6.45298e6i −0.457609 1.16597i
\(499\) −6.58496e6 + 4.48955e6i −1.18386 + 0.807144i −0.984944 0.172872i \(-0.944695\pi\)
−0.198919 + 0.980016i \(0.563743\pi\)
\(500\) 539621. + 259868.i 0.0965303 + 0.0464865i
\(501\) −4.78334e6 4.43829e6i −0.851406 0.789989i
\(502\) 1.35690e6 204519.i 0.240319 0.0362222i
\(503\) −761588. + 1.01627e7i −0.134215 + 1.79097i 0.371665 + 0.928367i \(0.378787\pi\)
−0.505880 + 0.862604i \(0.668832\pi\)
\(504\) 70192.3 178847.i 0.0123087 0.0313621i
\(505\) 1.05115e6 + 4.60537e6i 0.183415 + 0.803593i
\(506\) −83072.7 1.10853e6i −0.0144239 0.192473i
\(507\) −6.59424e6 2.03405e6i −1.13932 0.351433i
\(508\) −1.88175e6 + 906203.i −0.323521 + 0.155800i
\(509\) 4.98587e6 8.63577e6i 0.852994 1.47743i −0.0254990 0.999675i \(-0.508117\pi\)
0.878493 0.477755i \(-0.158549\pi\)
\(510\) −70939.2 122870.i −0.0120770 0.0209181i
\(511\) 23439.0 + 15980.5i 0.00397089 + 0.00270730i
\(512\) 1.09002e6 4.77569e6i 0.183764 0.805121i
\(513\) 6.32827e6 + 953834.i 1.06168 + 0.160022i
\(514\) −820685. 1.02911e6i −0.137015 0.171812i
\(515\) 2.76036e6 0.458614
\(516\) −1.41158e6 1.00616e7i −0.233389 1.66357i
\(517\) 663391. 0.109155
\(518\) −537687. 674239.i −0.0880451 0.110405i
\(519\) −1.06698e7 1.60822e6i −1.73876 0.262076i
\(520\) −53895.8 + 236133.i −0.00874070 + 0.0382955i
\(521\) 1.41843e6 + 967070.i 0.228936 + 0.156086i 0.672356 0.740228i \(-0.265283\pi\)
−0.443420 + 0.896314i \(0.646235\pi\)
\(522\) 1.43260e6 + 2.48133e6i 0.230117 + 0.398574i
\(523\) −2.95985e6 + 5.12660e6i −0.473167 + 0.819550i −0.999528 0.0307112i \(-0.990223\pi\)
0.526361 + 0.850261i \(0.323556\pi\)
\(524\) 1.39376e7 6.71201e6i 2.21748 1.06788i
\(525\) −853153. 263163.i −0.135092 0.0416702i
\(526\) 486074. + 6.48621e6i 0.0766017 + 1.02218i
\(527\) −12341.4 54071.4i −0.00193571 0.00848088i
\(528\) 85590.0 218080.i 0.0133610 0.0340432i
\(529\) 981164. 1.30927e7i 0.152441 2.03419i
\(530\) −7.76180e6 + 1.16990e6i −1.20025 + 0.180909i
\(531\) 3.79503e6 + 3.52127e6i 0.584089 + 0.541955i
\(532\) 1.62435e6 + 782247.i 0.248829 + 0.119830i
\(533\) −260858. + 177850.i −0.0397728 + 0.0271167i
\(534\) 1.60376e6 + 4.08630e6i 0.243380 + 0.620122i
\(535\) −1.45081e7 + 4.47516e6i −2.19142 + 0.675965i
\(536\) 1.84008e6 1.70734e6i 0.276646 0.256690i
\(537\) −4.20273e6 + 5.27005e6i −0.628920 + 0.788641i
\(538\) −5.83885e6 + 7.32168e6i −0.869704 + 1.09057i
\(539\) −347333. + 322278.i −0.0514961 + 0.0477814i
\(540\) −8.68939e6 + 2.68032e6i −1.28234 + 0.395551i
\(541\) −1.90330e6 4.84953e6i −0.279585 0.712372i −0.999826 0.0186476i \(-0.994064\pi\)
0.720241 0.693724i \(-0.244031\pi\)
\(542\) 1.20956e7 8.24661e6i 1.76859 1.20581i
\(543\) 6.33171e6 + 3.04919e6i 0.921556 + 0.443798i
\(544\) 61247.7 + 56829.6i 0.00887345 + 0.00823336i
\(545\) 7.55865e6 1.13928e6i 1.09007 0.164301i
\(546\) −5398.25 + 72034.7i −0.000774946 + 0.0103409i
\(547\) 1.06175e6 2.70530e6i 0.151724 0.386587i −0.834722 0.550671i \(-0.814372\pi\)
0.986446 + 0.164085i \(0.0524670\pi\)
\(548\) 722119. + 3.16381e6i 0.102721 + 0.450048i
\(549\) 257225. + 3.43242e6i 0.0364235 + 0.486038i
\(550\) 709463. + 218840.i 0.100005 + 0.0308476i
\(551\) −6.99650e6 + 3.36934e6i −0.981752 + 0.472787i
\(552\) −4.69696e6 + 8.13537e6i −0.656099 + 1.13640i
\(553\) 523098. + 906033.i 0.0727395 + 0.125989i
\(554\) −1.05351e7 7.18270e6i −1.45836 0.994290i
\(555\) 1.95685e6 8.57354e6i 0.269666 1.18148i
\(556\) 3.91435e6 + 589993.i 0.536998 + 0.0809394i
\(557\) −4.64000e6 5.81837e6i −0.633694 0.794627i 0.356505 0.934294i \(-0.383968\pi\)
−0.990199 + 0.139666i \(0.955397\pi\)
\(558\) 4.53747e6 0.616920
\(559\) 140256. + 299021.i 0.0189842 + 0.0404737i
\(560\) 555745. 0.0748869
\(561\) 3703.10 + 4643.54i 0.000496773 + 0.000622934i
\(562\) 6.10393e6 + 920020.i 0.815209 + 0.122873i
\(563\) −543805. + 2.38256e6i −0.0723056 + 0.316792i −0.998127 0.0611687i \(-0.980517\pi\)
0.925822 + 0.377960i \(0.123374\pi\)
\(564\) −1.60370e7 1.09338e7i −2.12288 1.44735i
\(565\) −7.21955e6 1.25046e7i −0.951457 1.64797i
\(566\) −5.00374e6 + 8.66674e6i −0.656529 + 1.13714i
\(567\) −1.07460e6 + 517501.i −0.140375 + 0.0676010i
\(568\) −7.52349e6 2.32069e6i −0.978472 0.301819i
\(569\) 373114. + 4.97886e6i 0.0483126 + 0.644687i 0.967825 + 0.251625i \(0.0809651\pi\)
−0.919512 + 0.393062i \(0.871416\pi\)
\(570\) 7.00039e6 + 3.06707e7i 0.902475 + 3.95400i
\(571\) 4.34469e6 1.10701e7i 0.557658 1.42089i −0.322664 0.946514i \(-0.604578\pi\)
0.880322 0.474376i \(-0.157326\pi\)
\(572\) 2623.39 35006.7i 0.000335253 0.00447364i
\(573\) 7.94276e6 1.19718e6i 1.01061 0.152325i
\(574\) −1.20980e6 1.12253e6i −0.153262 0.142206i
\(575\) 1.17736e7 + 5.66988e6i 1.48505 + 0.715162i
\(576\) −4.44212e6 + 3.02859e6i −0.557872 + 0.380350i
\(577\) 1.38326e6 + 3.52449e6i 0.172968 + 0.440714i 0.990900 0.134600i \(-0.0429750\pi\)
−0.817932 + 0.575314i \(0.804880\pi\)
\(578\) 1.19043e7 3.67200e6i 1.48213 0.457175i
\(579\) 8.88017e6 8.23959e6i 1.10084 1.02143i
\(580\) 6.87959e6 8.62673e6i 0.849166 1.06482i
\(581\) −429210. + 538212.i −0.0527508 + 0.0661475i
\(582\) −9.14169e6 + 8.48225e6i −1.11871 + 1.03802i
\(583\) 313996. 96854.8i 0.0382606 0.0118018i
\(584\) 72831.6 + 185572.i 0.00883665 + 0.0225154i
\(585\) −182193. + 124217.i −0.0220111 + 0.0150069i
\(586\) 1.90460e7 + 9.17208e6i 2.29119 + 1.10338i
\(587\) 1.18446e6 + 1.09901e6i 0.141881 + 0.131646i 0.747921 0.663788i \(-0.231052\pi\)
−0.606040 + 0.795434i \(0.707243\pi\)
\(588\) 1.37082e7 2.06618e6i 1.63507 0.246448i
\(589\) −919022. + 1.22635e7i −0.109154 + 1.45655i
\(590\) 1.24638e7 3.17573e7i 1.47408 3.75590i
\(591\) 139978. + 613283.i 0.0164851 + 0.0722258i
\(592\) 198791. + 2.65267e6i 0.0233126 + 0.311085i
\(593\) −7.82412e6 2.41342e6i −0.913689 0.281836i −0.197957 0.980211i \(-0.563431\pi\)
−0.715732 + 0.698375i \(0.753907\pi\)
\(594\) 586879. 282626.i 0.0682469 0.0328660i
\(595\) −7044.61 + 12201.6i −0.000815763 + 0.00141294i
\(596\) −2.65423e6 4.59726e6i −0.306072 0.530131i
\(597\) −1.41533e6 964955.i −0.162526 0.110808i
\(598\) 235270. 1.03078e6i 0.0269038 0.117873i
\(599\) 7.70865e6 + 1.16189e6i 0.877832 + 0.132312i 0.572471 0.819925i \(-0.305985\pi\)
0.305361 + 0.952237i \(0.401223\pi\)
\(600\) −3.91183e6 4.90528e6i −0.443610 0.556270i
\(601\) −1.68652e7 −1.90461 −0.952305 0.305146i \(-0.901295\pi\)
−0.952305 + 0.305146i \(0.901295\pi\)
\(602\) −1.36075e6 + 1.06260e6i −0.153033 + 0.119503i
\(603\) 2.28530e6 0.255947
\(604\) −3.78007e6 4.74006e6i −0.421607 0.528678i
\(605\) 1.23536e7 + 1.86201e6i 1.37216 + 0.206820i
\(606\) −2.20305e6 + 9.65219e6i −0.243693 + 1.06769i
\(607\) −1.00491e7 6.85135e6i −1.10702 0.754752i −0.135278 0.990808i \(-0.543193\pi\)
−0.971740 + 0.236056i \(0.924145\pi\)
\(608\) −9.26320e6 1.60443e7i −1.01625 1.76020i
\(609\) 475241. 823141.i 0.0519243 0.0899355i
\(610\) 2.04362e7 9.84154e6i 2.22369 1.07087i
\(611\) 602928. + 185979.i 0.0653375 + 0.0201540i
\(612\) −3887.41 51873.9i −0.000419548 0.00559848i
\(613\) 475967. + 2.08535e6i 0.0511594 + 0.224144i 0.994045 0.108974i \(-0.0347565\pi\)
−0.942885 + 0.333118i \(0.891899\pi\)
\(614\) −9.00093e6 + 2.29340e7i −0.963533 + 2.45504i
\(615\) 1.25765e6 1.67822e7i 0.134083 1.78921i
\(616\) 52408.9 7899.37i 0.00556485 0.000838766i
\(617\) −78781.9 73098.9i −0.00833131 0.00773033i 0.675996 0.736905i \(-0.263714\pi\)
−0.684327 + 0.729175i \(0.739904\pi\)
\(618\) 5.21239e6 + 2.51015e6i 0.548991 + 0.264380i
\(619\) −1.39506e7 + 9.51137e6i −1.46341 + 0.997738i −0.470060 + 0.882635i \(0.655768\pi\)
−0.993353 + 0.115104i \(0.963280\pi\)
\(620\) −6.38397e6 1.62661e7i −0.666979 1.69943i
\(621\) 1.09556e7 3.37936e6i 1.14001 0.351646i
\(622\) −1.44071e7 + 1.33679e7i −1.49314 + 1.38543i
\(623\) 271794. 340819.i 0.0280556 0.0351806i
\(624\) 138927. 174209.i 0.0142832 0.0179105i
\(625\) 7.52842e6 6.98536e6i 0.770911 0.715300i
\(626\) 834965. 257552.i 0.0851593 0.0262682i
\(627\) −481138. 1.22592e6i −0.0488766 0.124535i
\(628\) 6.19909e6 4.22647e6i 0.627233 0.427640i
\(629\) −60760.4 29260.7i −0.00612342 0.00294889i
\(630\) −844969. 784016.i −0.0848182 0.0786998i
\(631\) 9.89476e6 1.49140e6i 0.989309 0.149114i 0.365601 0.930772i \(-0.380863\pi\)
0.623708 + 0.781657i \(0.285625\pi\)
\(632\) −549410. + 7.33136e6i −0.0547146 + 0.730116i
\(633\) −2.64972e6 + 6.75137e6i −0.262839 + 0.669703i
\(634\) 1.86788e6 + 8.18371e6i 0.184555 + 0.808588i
\(635\) 270458. + 3.60901e6i 0.0266174 + 0.355184i
\(636\) −9.18694e6 2.83380e6i −0.900592 0.277796i
\(637\) −406026. + 195532.i −0.0396465 + 0.0190928i
\(638\) −395200. + 684507.i −0.0384384 + 0.0665773i
\(639\) −3.58400e6 6.20767e6i −0.347229 0.601418i
\(640\) 1.38047e7 + 9.41190e6i 1.33223 + 0.908296i
\(641\) −4.56732e6 + 2.00107e7i −0.439052 + 1.92361i −0.0601119 + 0.998192i \(0.519146\pi\)
−0.378940 + 0.925421i \(0.623711\pi\)
\(642\) −3.14652e7 4.74261e6i −3.01296 0.454130i
\(643\) −3.48594e6 4.37123e6i −0.332501 0.416943i 0.587275 0.809388i \(-0.300201\pi\)
−0.919775 + 0.392445i \(0.871629\pi\)
\(644\) 3.22984e6 0.306878
\(645\) −1.71233e7 4.09274e6i −1.62064 0.387360i
\(646\) 241254. 0.0227454
\(647\) −5.43664e6 6.81733e6i −0.510587 0.640256i 0.457994 0.888956i \(-0.348568\pi\)
−0.968581 + 0.248699i \(0.919997\pi\)
\(648\) −8.28795e6 1.24921e6i −0.775371 0.116868i
\(649\) −317793. + 1.39234e6i −0.0296164 + 0.129758i
\(650\) 583451. + 397790.i 0.0541653 + 0.0369292i
\(651\) −752616. 1.30357e6i −0.0696018 0.120554i
\(652\) 275059. 476415.i 0.0253400 0.0438901i
\(653\) −277558. + 133665.i −0.0254725 + 0.0122669i −0.446577 0.894745i \(-0.647357\pi\)
0.421104 + 0.907012i \(0.361643\pi\)
\(654\) 1.53090e7 + 4.72220e6i 1.39960 + 0.431718i
\(655\) −2.00321e6 2.67310e7i −0.182441 2.43451i
\(656\) 1.13279e6 + 4.96307e6i 0.102775 + 0.450289i
\(657\) −66307.5 + 168949.i −0.00599306 + 0.0152701i
\(658\) −246477. + 3.28901e6i −0.0221928 + 0.296142i
\(659\) 1.28112e7 1.93098e6i 1.14915 0.173207i 0.453277 0.891370i \(-0.350255\pi\)
0.695875 + 0.718163i \(0.255017\pi\)
\(660\) 1.37173e6 + 1.27278e6i 0.122577 + 0.113735i
\(661\) 1.51586e7 + 7.30000e6i 1.34945 + 0.649859i 0.962257 0.272141i \(-0.0877318\pi\)
0.387189 + 0.922000i \(0.373446\pi\)
\(662\) −1.91877e7 + 1.30819e7i −1.70168 + 1.16018i
\(663\) 2063.80 + 5258.46i 0.000182340 + 0.000464596i
\(664\) −4.62266e6 + 1.42590e6i −0.406885 + 0.125507i
\(665\) 2.29011e6 2.12491e6i 0.200818 0.186332i
\(666\) 3.44001e6 4.31364e6i 0.300520 0.376841i
\(667\) −8.67383e6 + 1.08766e7i −0.754912 + 0.946629i
\(668\) −1.15572e7 + 1.07235e7i −1.00210 + 0.929813i
\(669\) −1.02252e7 + 3.15405e6i −0.883295 + 0.272460i
\(670\) −5.50193e6 1.40187e7i −0.473508 1.20648i
\(671\) −784539. + 534890.i −0.0672680 + 0.0458625i
\(672\) 2.04302e6 + 983868.i 0.174522 + 0.0840454i
\(673\) −109288. 101405.i −0.00930112 0.00863018i 0.675508 0.737352i \(-0.263924\pi\)
−0.684810 + 0.728722i \(0.740115\pi\)
\(674\) 2.25671e7 3.40145e6i 1.91349 0.288412i
\(675\) −572232. + 7.63591e6i −0.0483407 + 0.645062i
\(676\) −6.09145e6 + 1.55208e7i −0.512689 + 1.30631i
\(677\) −854322. 3.74303e6i −0.0716390 0.313871i 0.926394 0.376555i \(-0.122891\pi\)
−0.998033 + 0.0626835i \(0.980034\pi\)
\(678\) −2.26150e6 3.01776e7i −0.188939 2.52122i
\(679\) 1.18339e6 + 365026.i 0.0985035 + 0.0303843i
\(680\) −89203.9 + 42958.3i −0.00739795 + 0.00356267i
\(681\) 9.31138e6 1.61278e7i 0.769389 1.33262i
\(682\) 625859. + 1.08402e6i 0.0515247 + 0.0892434i
\(683\) 1.61379e6 + 1.10027e6i 0.132372 + 0.0902497i 0.627696 0.778459i \(-0.283998\pi\)
−0.495324 + 0.868708i \(0.664951\pi\)
\(684\) −2.56668e6 + 1.12453e7i −0.209764 + 0.919036i
\(685\) 5.56047e6 + 838107.i 0.452778 + 0.0682453i
\(686\) −2.96091e6 3.71287e6i −0.240224 0.301231i
\(687\) −712729. −0.0576146
\(688\) 5.31443e6 343707.i 0.428041 0.0276833i
\(689\) 312530. 0.0250810
\(690\) 3.51392e7 + 4.40631e7i 2.80976 + 3.52332i
\(691\) −2.47616e6 373221.i −0.197280 0.0297352i 0.0496587 0.998766i \(-0.484187\pi\)
−0.246939 + 0.969031i \(0.579425\pi\)
\(692\) −5.80133e6 + 2.54173e7i −0.460535 + 2.01773i
\(693\) 39868.6 + 27182.0i 0.00315354 + 0.00215005i
\(694\) 7.00546e6 + 1.21338e7i 0.552126 + 0.956310i
\(695\) 3.42972e6 5.94046e6i 0.269338 0.466507i
\(696\) 6.01784e6 2.89804e6i 0.470888 0.226768i
\(697\) −123326. 38040.9i −0.00961548 0.00296598i
\(698\) −1.18851e6 1.58596e7i −0.0923345 1.23212i
\(699\) 5.22617e6 + 2.28974e7i 0.404567 + 1.77252i
\(700\) −788102. + 2.00805e6i −0.0607907 + 0.154892i
\(701\) 201669. 2.69109e6i 0.0155005 0.206839i −0.984076 0.177747i \(-0.943119\pi\)
0.999577 0.0290925i \(-0.00926175\pi\)
\(702\) 612623. 92338.1i 0.0469192 0.00707193i
\(703\) 1.09618e7 + 1.01711e7i 0.836552 + 0.776207i
\(704\) −1.33625e6 643503.i −0.101614 0.0489349i
\(705\) −2.77891e7 + 1.89463e7i −2.10572 + 1.43566i
\(706\) −1.18721e7 3.02496e7i −0.896429 2.28406i
\(707\) 939480. 289791.i 0.0706869 0.0218040i
\(708\) 3.06306e7 2.84210e7i 2.29653 2.13087i
\(709\) 4.52733e6 5.67710e6i 0.338241 0.424141i −0.583399 0.812185i \(-0.698278\pi\)
0.921641 + 0.388044i \(0.126849\pi\)
\(710\) −2.94510e7 + 3.69304e7i −2.19257 + 2.74940i
\(711\) −4.90657e6 + 4.55263e6i −0.364002 + 0.337745i
\(712\) 2.92726e6 902941.i 0.216402 0.0667512i
\(713\) 8.04895e6 + 2.05084e7i 0.592946 + 1.51080i
\(714\) −24397.9 + 16634.2i −0.00179105 + 0.00122112i
\(715\) −54806.0 26393.2i −0.00400925 0.00193075i
\(716\) 1.19387e7 + 1.10775e7i 0.870312 + 0.807532i
\(717\) −1.94296e7 + 2.92854e6i −1.41145 + 0.212742i
\(718\) 1.94183e6 2.59119e7i 0.140572 1.87580i
\(719\) 4.13663e6 1.05400e7i 0.298418 0.760355i −0.700492 0.713661i \(-0.747036\pi\)
0.998909 0.0466948i \(-0.0148688\pi\)
\(720\) 791182. + 3.46639e6i 0.0568781 + 0.249199i
\(721\) −42933.2 572903.i −0.00307578 0.0410434i
\(722\) −3.03562e7 9.36365e6i −2.16723 0.668501i
\(723\) 1.20126e7 5.78499e6i 0.854659 0.411582i
\(724\) 8.48990e6 1.47049e7i 0.601944 1.04260i
\(725\) −4.64574e6 8.04666e6i −0.328254 0.568552i
\(726\) 2.16341e7 + 1.47499e7i 1.52334 + 1.03860i
\(727\) −2.09621e6 + 9.18412e6i −0.147096 + 0.644468i 0.846588 + 0.532249i \(0.178653\pi\)
−0.993683 + 0.112219i \(0.964204\pi\)
\(728\) 49846.8 + 7513.20i 0.00348585 + 0.000525408i
\(729\) 2.55561e6 + 3.20463e6i 0.178105 + 0.223336i
\(730\) 1.19602e6 0.0830672
\(731\) −59819.2 + 121037.i −0.00414045 + 0.00837772i
\(732\) 2.77816e7 1.91637
\(733\) −9.38006e6 1.17622e7i −0.644831 0.808592i 0.346767 0.937951i \(-0.387279\pi\)
−0.991598 + 0.129359i \(0.958708\pi\)
\(734\) −3.99161e7 6.01639e6i −2.73469 0.412188i
\(735\) 5.34542e6 2.34198e7i 0.364975 1.59906i
\(736\) −2.74225e7 1.86963e7i −1.86600 1.27222i
\(737\) 315214. + 545967.i 0.0213765 + 0.0370252i
\(738\) 5.27932e6 9.14406e6i 0.356810 0.618014i
\(739\) −3.30530e6 + 1.59175e6i −0.222638 + 0.107217i −0.541878 0.840457i \(-0.682287\pi\)
0.319240 + 0.947674i \(0.396572\pi\)
\(740\) −2.03036e7 6.26283e6i −1.36299 0.420427i
\(741\) −93605.0 1.24907e6i −0.00626259 0.0835684i
\(742\) 363532. + 1.59274e6i 0.0242400 + 0.106202i
\(743\) 3.66281e6 9.33269e6i 0.243412 0.620204i −0.755997 0.654575i \(-0.772848\pi\)
0.999409 + 0.0343709i \(0.0109428\pi\)
\(744\) 790471. 1.05481e7i 0.0523545 0.698622i
\(745\) −9.09583e6 + 1.37098e6i −0.600415 + 0.0904980i
\(746\) 2.39183e7 + 2.21929e7i 1.57356 + 1.46005i
\(747\) −3.96808e6 1.91092e6i −0.260183 0.125297i
\(748\) 11856.7 8083.74i 0.000774834 0.000528273i
\(749\) 1.15446e6 + 2.94151e6i 0.0751922 + 0.191587i
\(750\) 2.07853e6 641140.i 0.134928 0.0416198i
\(751\) −5.88194e6 + 5.45765e6i −0.380558 + 0.353106i −0.847138 0.531373i \(-0.821676\pi\)
0.466580 + 0.884479i \(0.345486\pi\)
\(752\) 6.34323e6 7.95416e6i 0.409040 0.512920i
\(753\) 1.81582e6 2.27697e6i 0.116704 0.146342i
\(754\) −551079. + 511327.i −0.0353009