Properties

Label 43.6.g.a.9.4
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 9.4
Character \(\chi\) \(=\) 43.9
Dual form 43.6.g.a.24.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-5.14921 - 6.45690i) q^{2} +(12.1966 + 1.83835i) q^{3} +(-8.05656 + 35.2981i) q^{4} +(6.56775 + 4.47782i) q^{5} +(-50.9330 - 88.2185i) q^{6} +(-125.151 + 216.768i) q^{7} +(31.2951 - 15.0709i) q^{8} +(-86.8258 - 26.7822i) q^{9} +O(q^{10})\) \(q+(-5.14921 - 6.45690i) q^{2} +(12.1966 + 1.83835i) q^{3} +(-8.05656 + 35.2981i) q^{4} +(6.56775 + 4.47782i) q^{5} +(-50.9330 - 88.2185i) q^{6} +(-125.151 + 216.768i) q^{7} +(31.2951 - 15.0709i) q^{8} +(-86.8258 - 26.7822i) q^{9} +(-4.90589 - 65.4645i) q^{10} +(5.72841 + 25.0978i) q^{11} +(-163.153 + 415.707i) q^{12} +(-50.2681 + 670.781i) q^{13} +(2044.08 - 308.095i) q^{14} +(71.8727 + 66.6881i) q^{15} +(785.395 + 378.226i) q^{16} +(809.365 - 551.816i) q^{17} +(274.154 + 698.532i) q^{18} +(46.5882 - 14.3706i) q^{19} +(-210.972 + 195.753i) q^{20} +(-1924.92 + 2413.77i) q^{21} +(132.557 - 166.222i) q^{22} +(-2661.70 + 2469.70i) q^{23} +(409.400 - 126.283i) q^{24} +(-1118.61 - 2850.16i) q^{25} +(4590.01 - 3129.41i) q^{26} +(-3710.18 - 1786.73i) q^{27} +(-6643.22 - 6164.00i) q^{28} +(3246.12 - 489.275i) q^{29} +(60.5112 - 807.466i) q^{30} +(-1625.48 + 4141.67i) q^{31} +(-1849.33 - 8102.43i) q^{32} +(23.7289 + 316.640i) q^{33} +(-7730.61 - 2384.58i) q^{34} +(-1792.61 + 863.275i) q^{35} +(1644.88 - 2849.01i) q^{36} +(2677.17 + 4636.99i) q^{37} +(-332.682 - 226.818i) q^{38} +(-1846.23 + 8088.87i) q^{39} +(273.023 + 41.1516i) q^{40} +(8109.60 + 10169.1i) q^{41} +25497.3 q^{42} +(-10945.2 - 5216.33i) q^{43} -932.056 q^{44} +(-450.324 - 564.689i) q^{45} +(29652.2 + 4469.35i) q^{46} +(1540.45 - 6749.16i) q^{47} +(8883.87 + 6056.92i) q^{48} +(-22922.1 - 39702.3i) q^{49} +(-12643.3 + 21898.8i) q^{50} +(10886.0 - 5242.40i) q^{51} +(-23272.3 - 7178.56i) q^{52} +(2230.54 + 29764.5i) q^{53} +(7567.76 + 33156.5i) q^{54} +(-74.7606 + 190.487i) q^{55} +(-649.721 + 8669.92i) q^{56} +(594.638 - 89.6272i) q^{57} +(-19874.2 - 18440.5i) q^{58} +(-12046.1 - 5801.11i) q^{59} +(-2933.01 + 1999.69i) q^{60} +(-1891.56 - 4819.61i) q^{61} +(35112.3 - 10830.7i) q^{62} +(16671.9 - 15469.2i) q^{63} +(-25401.7 + 31852.7i) q^{64} +(-3333.78 + 4180.43i) q^{65} +(1922.33 - 1783.66i) q^{66} +(-9985.58 + 3080.14i) q^{67} +(12957.4 + 33014.8i) q^{68} +(-37004.0 + 25228.9i) q^{69} +(14804.6 + 7129.52i) q^{70} +(10771.2 + 9994.21i) q^{71} +(-3120.85 + 470.393i) q^{72} +(-671.483 + 8960.31i) q^{73} +(16155.3 - 41163.0i) q^{74} +(-8403.65 - 36818.8i) q^{75} +(131.913 + 1760.25i) q^{76} +(-6157.32 - 1899.28i) q^{77} +(61735.6 - 29730.3i) q^{78} +(-1004.83 + 1740.42i) q^{79} +(3464.65 + 6000.95i) q^{80} +(-23724.1 - 16174.8i) q^{81} +(23903.0 - 104726. i) q^{82} +(95394.8 + 14378.5i) q^{83} +(-69693.3 - 87392.7i) q^{84} +7786.64 q^{85} +(22677.9 + 97532.3i) q^{86} +40491.3 q^{87} +(557.518 + 699.105i) q^{88} +(9837.97 + 1482.84i) q^{89} +(-1327.33 + 5815.40i) q^{90} +(-139113. - 94845.6i) q^{91} +(-65731.5 - 113850. i) q^{92} +(-27439.3 + 47526.2i) q^{93} +(-51510.8 + 24806.3i) q^{94} +(370.329 + 114.231i) q^{95} +(-7660.49 - 102222. i) q^{96} +(22106.3 + 96853.9i) q^{97} +(-138323. + 352441. i) q^{98} +(174.801 - 2332.56i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −5.14921 6.45690i −0.910260 1.14143i −0.989494 0.144573i \(-0.953819\pi\)
0.0792346 0.996856i \(-0.474752\pi\)
\(3\) 12.1966 + 1.83835i 0.782415 + 0.117930i 0.528089 0.849189i \(-0.322909\pi\)
0.254325 + 0.967119i \(0.418147\pi\)
\(4\) −8.05656 + 35.2981i −0.251768 + 1.10307i
\(5\) 6.56775 + 4.47782i 0.117487 + 0.0801016i 0.620638 0.784097i \(-0.286874\pi\)
−0.503151 + 0.864199i \(0.667826\pi\)
\(6\) −50.9330 88.2185i −0.577592 1.00042i
\(7\) −125.151 + 216.768i −0.965361 + 1.67205i −0.256719 + 0.966486i \(0.582641\pi\)
−0.708642 + 0.705568i \(0.750692\pi\)
\(8\) 31.2951 15.0709i 0.172883 0.0832558i
\(9\) −86.8258 26.7822i −0.357308 0.110215i
\(10\) −4.90589 65.4645i −0.0155138 0.207017i
\(11\) 5.72841 + 25.0978i 0.0142742 + 0.0625394i 0.981563 0.191137i \(-0.0612174\pi\)
−0.967289 + 0.253676i \(0.918360\pi\)
\(12\) −163.153 + 415.707i −0.327071 + 0.833364i
\(13\) −50.2681 + 670.781i −0.0824962 + 1.10084i 0.790290 + 0.612733i \(0.209930\pi\)
−0.872786 + 0.488103i \(0.837689\pi\)
\(14\) 2044.08 308.095i 2.78726 0.420112i
\(15\) 71.8727 + 66.6881i 0.0824776 + 0.0765280i
\(16\) 785.395 + 378.226i 0.766988 + 0.369362i
\(17\) 809.365 551.816i 0.679238 0.463097i −0.173912 0.984761i \(-0.555641\pi\)
0.853151 + 0.521664i \(0.174689\pi\)
\(18\) 274.154 + 698.532i 0.199440 + 0.508165i
\(19\) 46.5882 14.3706i 0.0296068 0.00913250i −0.279916 0.960024i \(-0.590307\pi\)
0.309523 + 0.950892i \(0.399831\pi\)
\(20\) −210.972 + 195.753i −0.117937 + 0.109429i
\(21\) −1924.92 + 2413.77i −0.952498 + 1.19439i
\(22\) 132.557 166.222i 0.0583911 0.0732201i
\(23\) −2661.70 + 2469.70i −1.04915 + 0.973473i −0.999680 0.0253020i \(-0.991945\pi\)
−0.0494749 + 0.998775i \(0.515755\pi\)
\(24\) 409.400 126.283i 0.145084 0.0447525i
\(25\) −1118.61 2850.16i −0.357954 0.912052i
\(26\) 4590.01 3129.41i 1.33162 0.907883i
\(27\) −3710.18 1786.73i −0.979459 0.471682i
\(28\) −6643.22 6164.00i −1.60134 1.48583i
\(29\) 3246.12 489.275i 0.716754 0.108033i 0.219468 0.975620i \(-0.429568\pi\)
0.497286 + 0.867586i \(0.334330\pi\)
\(30\) 60.5112 807.466i 0.0122753 0.163803i
\(31\) −1625.48 + 4141.67i −0.303794 + 0.774053i 0.694706 + 0.719294i \(0.255534\pi\)
−0.998500 + 0.0547596i \(0.982561\pi\)
\(32\) −1849.33 8102.43i −0.319256 1.39875i
\(33\) 23.7289 + 316.640i 0.00379308 + 0.0506151i
\(34\) −7730.61 2384.58i −1.14688 0.353764i
\(35\) −1792.61 + 863.275i −0.247352 + 0.119118i
\(36\) 1644.88 2849.01i 0.211533 0.366385i
\(37\) 2677.17 + 4636.99i 0.321493 + 0.556842i 0.980796 0.195035i \(-0.0624820\pi\)
−0.659303 + 0.751877i \(0.729149\pi\)
\(38\) −332.682 226.818i −0.0373740 0.0254812i
\(39\) −1846.23 + 8088.87i −0.194368 + 0.851581i
\(40\) 273.023 + 41.1516i 0.0269805 + 0.00406665i
\(41\) 8109.60 + 10169.1i 0.753424 + 0.944764i 0.999701 0.0244354i \(-0.00777881\pi\)
−0.246277 + 0.969199i \(0.579207\pi\)
\(42\) 25497.3 2.23034
\(43\) −10945.2 5216.33i −0.902722 0.430224i
\(44\) −932.056 −0.0725789
\(45\) −450.324 564.689i −0.0331508 0.0415698i
\(46\) 29652.2 + 4469.35i 2.06615 + 0.311423i
\(47\) 1540.45 6749.16i 0.101719 0.445661i −0.898261 0.439461i \(-0.855169\pi\)
0.999981 0.00620004i \(-0.00197355\pi\)
\(48\) 8883.87 + 6056.92i 0.556543 + 0.379445i
\(49\) −22922.1 39702.3i −1.36384 2.36225i
\(50\) −12643.3 + 21898.8i −0.715212 + 1.23878i
\(51\) 10886.0 5242.40i 0.586059 0.282231i
\(52\) −23272.3 7178.56i −1.19352 0.368154i
\(53\) 2230.54 + 29764.5i 0.109074 + 1.45549i 0.736301 + 0.676654i \(0.236571\pi\)
−0.627227 + 0.778837i \(0.715810\pi\)
\(54\) 7567.76 + 33156.5i 0.353169 + 1.54734i
\(55\) −74.7606 + 190.487i −0.00333247 + 0.00849099i
\(56\) −649.721 + 8669.92i −0.0276858 + 0.369441i
\(57\) 594.638 89.6272i 0.0242418 0.00365387i
\(58\) −19874.2 18440.5i −0.775745 0.719786i
\(59\) −12046.1 5801.11i −0.450523 0.216961i 0.194842 0.980835i \(-0.437581\pi\)
−0.645365 + 0.763874i \(0.723295\pi\)
\(60\) −2933.01 + 1999.69i −0.105181 + 0.0717109i
\(61\) −1891.56 4819.61i −0.0650871 0.165839i 0.894630 0.446808i \(-0.147439\pi\)
−0.959717 + 0.280969i \(0.909344\pi\)
\(62\) 35112.3 10830.7i 1.16006 0.357831i
\(63\) 16671.9 15469.2i 0.529216 0.491041i
\(64\) −25401.7 + 31852.7i −0.775198 + 0.972068i
\(65\) −3333.78 + 4180.43i −0.0978710 + 0.122726i
\(66\) 1922.33 1783.66i 0.0543209 0.0504024i
\(67\) −9985.58 + 3080.14i −0.271760 + 0.0838270i −0.427640 0.903949i \(-0.640655\pi\)
0.155880 + 0.987776i \(0.450179\pi\)
\(68\) 12957.4 + 33014.8i 0.339816 + 0.865838i
\(69\) −37004.0 + 25228.9i −0.935676 + 0.637933i
\(70\) 14804.6 + 7129.52i 0.361120 + 0.173906i
\(71\) 10771.2 + 9994.21i 0.253582 + 0.235290i 0.796712 0.604359i \(-0.206571\pi\)
−0.543130 + 0.839648i \(0.682761\pi\)
\(72\) −3120.85 + 470.393i −0.0709483 + 0.0106937i
\(73\) −671.483 + 8960.31i −0.0147478 + 0.196796i 0.984963 + 0.172763i \(0.0552696\pi\)
−0.999711 + 0.0240325i \(0.992349\pi\)
\(74\) 16155.3 41163.0i 0.342954 0.873833i
\(75\) −8403.65 36818.8i −0.172510 0.755816i
\(76\) 131.913 + 1760.25i 0.00261971 + 0.0349576i
\(77\) −6157.32 1899.28i −0.118349 0.0365059i
\(78\) 61735.6 29730.3i 1.14895 0.553303i
\(79\) −1004.83 + 1740.42i −0.0181145 + 0.0313752i −0.874941 0.484230i \(-0.839100\pi\)
0.856826 + 0.515606i \(0.172433\pi\)
\(80\) 3464.65 + 6000.95i 0.0605250 + 0.104832i
\(81\) −23724.1 16174.8i −0.401770 0.273922i
\(82\) 23903.0 104726.i 0.392570 1.71996i
\(83\) 95394.8 + 14378.5i 1.51995 + 0.229096i 0.855329 0.518085i \(-0.173355\pi\)
0.664621 + 0.747180i \(0.268593\pi\)
\(84\) −69693.3 87392.7i −1.07769 1.35138i
\(85\) 7786.64 0.116897
\(86\) 22677.9 + 97532.3i 0.330642 + 1.42201i
\(87\) 40491.3 0.573539
\(88\) 557.518 + 699.105i 0.00767454 + 0.00962357i
\(89\) 9837.97 + 1482.84i 0.131653 + 0.0198435i 0.214538 0.976716i \(-0.431175\pi\)
−0.0828852 + 0.996559i \(0.526413\pi\)
\(90\) −1327.33 + 5815.40i −0.0172731 + 0.0756786i
\(91\) −139113. 94845.6i −1.76102 1.20064i
\(92\) −65731.5 113850.i −0.809662 1.40238i
\(93\) −27439.3 + 47526.2i −0.328977 + 0.569804i
\(94\) −51510.8 + 24806.3i −0.601282 + 0.289562i
\(95\) 370.329 + 114.231i 0.00420996 + 0.00129860i
\(96\) −7660.49 102222.i −0.0848357 1.13205i
\(97\) 22106.3 + 96853.9i 0.238554 + 1.04517i 0.942313 + 0.334733i \(0.108646\pi\)
−0.703759 + 0.710439i \(0.748497\pi\)
\(98\) −138323. + 352441.i −1.45489 + 3.70699i
\(99\) 174.801 2332.56i 0.00179248 0.0239190i
\(100\) 109617. 16522.2i 1.09617 0.165222i
\(101\) −80075.1 74298.8i −0.781077 0.724734i 0.185070 0.982725i \(-0.440749\pi\)
−0.966147 + 0.257992i \(0.916939\pi\)
\(102\) −89903.7 43295.4i −0.855613 0.412041i
\(103\) −74146.5 + 50552.2i −0.688649 + 0.469513i −0.856397 0.516317i \(-0.827303\pi\)
0.167749 + 0.985830i \(0.446350\pi\)
\(104\) 8536.15 + 21749.7i 0.0773889 + 0.197184i
\(105\) −23450.8 + 7233.62i −0.207580 + 0.0640298i
\(106\) 180701. 167666.i 1.56205 1.44937i
\(107\) 9712.58 12179.2i 0.0820115 0.102839i −0.739133 0.673560i \(-0.764765\pi\)
0.821145 + 0.570720i \(0.193336\pi\)
\(108\) 92959.6 116568.i 0.766893 0.961653i
\(109\) 155555. 144334.i 1.25406 1.16360i 0.274686 0.961534i \(-0.411426\pi\)
0.979373 0.202062i \(-0.0647642\pi\)
\(110\) 1614.91 498.134i 0.0127253 0.00392523i
\(111\) 24128.1 + 61477.3i 0.185872 + 0.473595i
\(112\) −180281. + 122913.i −1.35801 + 0.925877i
\(113\) 177088. + 85281.1i 1.30465 + 0.628285i 0.951605 0.307323i \(-0.0994332\pi\)
0.353041 + 0.935608i \(0.385147\pi\)
\(114\) −3640.63 3378.01i −0.0262370 0.0243444i
\(115\) −28540.2 + 4301.75i −0.201239 + 0.0303320i
\(116\) −8882.14 + 118524.i −0.0612876 + 0.817826i
\(117\) 22329.6 56894.8i 0.150805 0.384245i
\(118\) 24570.8 + 107652.i 0.162448 + 0.711731i
\(119\) 18323.1 + 244505.i 0.118613 + 1.58278i
\(120\) 3254.31 + 1003.82i 0.0206303 + 0.00636361i
\(121\) 144505. 69589.9i 0.897261 0.432098i
\(122\) −21379.7 + 37030.8i −0.130048 + 0.225249i
\(123\) 80215.4 + 138937.i 0.478074 + 0.828049i
\(124\) −133097. 90744.1i −0.777347 0.529986i
\(125\) 10943.3 47945.8i 0.0626432 0.274458i
\(126\) −185730. 27994.3i −1.04221 0.157088i
\(127\) 198171. + 248499.i 1.09026 + 1.36715i 0.924590 + 0.380964i \(0.124408\pi\)
0.165672 + 0.986181i \(0.447021\pi\)
\(128\) 70522.7 0.380456
\(129\) −123906. 83742.9i −0.655567 0.443071i
\(130\) 44159.0 0.229172
\(131\) −159728. 200293.i −0.813211 1.01973i −0.999308 0.0372025i \(-0.988155\pi\)
0.186097 0.982531i \(-0.440416\pi\)
\(132\) −11368.0 1713.44i −0.0567868 0.00855923i
\(133\) −2715.49 + 11897.3i −0.0133113 + 0.0583204i
\(134\) 71306.0 + 48615.6i 0.343055 + 0.233891i
\(135\) −16366.9 28348.3i −0.0772916 0.133873i
\(136\) 17012.8 29467.0i 0.0788729 0.136612i
\(137\) 281512. 135569.i 1.28143 0.617105i 0.335673 0.941978i \(-0.391036\pi\)
0.945757 + 0.324874i \(0.105322\pi\)
\(138\) 353441. + 109022.i 1.57986 + 0.487323i
\(139\) 29858.0 + 398428.i 0.131076 + 1.74909i 0.544688 + 0.838639i \(0.316648\pi\)
−0.413611 + 0.910454i \(0.635733\pi\)
\(140\) −16029.7 70230.8i −0.0691203 0.302836i
\(141\) 31195.6 79485.2i 0.132144 0.336696i
\(142\) 9068.51 121011.i 0.0377411 0.503620i
\(143\) −17123.1 + 2580.89i −0.0700232 + 0.0105543i
\(144\) −58062.8 53874.4i −0.233341 0.216509i
\(145\) 23510.6 + 11322.1i 0.0928633 + 0.0447206i
\(146\) 61313.4 41802.8i 0.238053 0.162302i
\(147\) −206586. 526373.i −0.788511 2.00909i
\(148\) −185246. + 57140.8i −0.695175 + 0.214433i
\(149\) −141521. + 131312.i −0.522222 + 0.484551i −0.896672 0.442696i \(-0.854022\pi\)
0.374450 + 0.927247i \(0.377832\pi\)
\(150\) −194463. + 243849.i −0.705682 + 0.884897i
\(151\) 54392.7 68206.3i 0.194133 0.243435i −0.675232 0.737605i \(-0.735957\pi\)
0.869365 + 0.494170i \(0.164528\pi\)
\(152\) 1241.40 1151.86i 0.00435817 0.00404379i
\(153\) −85052.6 + 26235.2i −0.293737 + 0.0906059i
\(154\) 19441.8 + 49537.0i 0.0660595 + 0.168317i
\(155\) −29221.4 + 19922.8i −0.0976949 + 0.0666072i
\(156\) −270647. 130337.i −0.890415 0.428801i
\(157\) −322671. 299395.i −1.04475 0.969383i −0.0451841 0.998979i \(-0.514387\pi\)
−0.999562 + 0.0295960i \(0.990578\pi\)
\(158\) 16411.8 2473.68i 0.0523014 0.00788317i
\(159\) −27512.4 + 367128.i −0.0863050 + 1.15166i
\(160\) 24135.3 61495.7i 0.0745337 0.189909i
\(161\) −202237. 886057.i −0.614887 2.69400i
\(162\) 17721.1 + 236472.i 0.0530522 + 0.707933i
\(163\) 77605.7 + 23938.2i 0.228783 + 0.0705703i 0.407027 0.913416i \(-0.366565\pi\)
−0.178244 + 0.983986i \(0.557042\pi\)
\(164\) −424286. + 204325.i −1.23182 + 0.593216i
\(165\) −1262.01 + 2185.86i −0.00360871 + 0.00625048i
\(166\) −398367. 689992.i −1.12205 1.94345i
\(167\) 352465. + 240306.i 0.977968 + 0.666767i 0.943060 0.332624i \(-0.107934\pi\)
0.0349078 + 0.999391i \(0.488886\pi\)
\(168\) −23862.7 + 104549.i −0.0652299 + 0.285791i
\(169\) −80274.7 12099.5i −0.216203 0.0325874i
\(170\) −40095.0 50277.5i −0.106406 0.133429i
\(171\) −4429.93 −0.0115853
\(172\) 272308. 344321.i 0.701841 0.887446i
\(173\) −166882. −0.423930 −0.211965 0.977277i \(-0.567986\pi\)
−0.211965 + 0.977277i \(0.567986\pi\)
\(174\) −208498. 261448.i −0.522070 0.654655i
\(175\) 757819. + 114223.i 1.87055 + 0.281941i
\(176\) −4993.59 + 21878.3i −0.0121515 + 0.0532393i
\(177\) −136258. 92898.9i −0.326910 0.222883i
\(178\) −41083.2 71158.2i −0.0971884 0.168335i
\(179\) −18296.4 + 31690.3i −0.0426808 + 0.0739254i −0.886577 0.462582i \(-0.846923\pi\)
0.843896 + 0.536507i \(0.180257\pi\)
\(180\) 23560.5 11346.1i 0.0542005 0.0261016i
\(181\) 546388. + 168538.i 1.23967 + 0.382387i 0.844167 0.536080i \(-0.180095\pi\)
0.395499 + 0.918466i \(0.370572\pi\)
\(182\) 103913. + 1.38662e6i 0.232536 + 3.10297i
\(183\) −14210.5 62260.4i −0.0313677 0.137431i
\(184\) −46077.5 + 117404.i −0.100333 + 0.255645i
\(185\) −3180.63 + 42442.5i −0.00683256 + 0.0911741i
\(186\) 448162. 67549.6i 0.949846 0.143166i
\(187\) 18485.7 + 17152.3i 0.0386574 + 0.0358688i
\(188\) 225822. + 108750.i 0.465984 + 0.224406i
\(189\) 851640. 580638.i 1.73421 1.18236i
\(190\) −1169.32 2979.37i −0.00234990 0.00598744i
\(191\) −562079. + 173378.i −1.11484 + 0.343884i −0.796831 0.604202i \(-0.793492\pi\)
−0.318013 + 0.948086i \(0.603016\pi\)
\(192\) −368372. + 341799.i −0.721162 + 0.669141i
\(193\) −516195. + 647288.i −0.997517 + 1.25085i −0.0296039 + 0.999562i \(0.509425\pi\)
−0.967913 + 0.251285i \(0.919147\pi\)
\(194\) 511546. 641458.i 0.975844 1.22367i
\(195\) −48346.0 + 44858.6i −0.0910488 + 0.0844810i
\(196\) 1.58609e6 489244.i 2.94908 0.909672i
\(197\) −325737. 829965.i −0.598001 1.52368i −0.833907 0.551905i \(-0.813901\pi\)
0.235906 0.971776i \(-0.424194\pi\)
\(198\) −15961.2 + 10882.1i −0.0289335 + 0.0197265i
\(199\) 125558. + 60465.6i 0.224756 + 0.108237i 0.542874 0.839814i \(-0.317336\pi\)
−0.318117 + 0.948051i \(0.603051\pi\)
\(200\) −77961.4 72337.6i −0.137818 0.127876i
\(201\) −127453. + 19210.4i −0.222515 + 0.0335388i
\(202\) −67416.9 + 899616.i −0.116249 + 1.55124i
\(203\) −300197. + 764890.i −0.511289 + 1.30274i
\(204\) 97343.5 + 426490.i 0.163769 + 0.717519i
\(205\) 7726.39 + 103101.i 0.0128408 + 0.171348i
\(206\) 708206. + 218453.i 1.16276 + 0.358665i
\(207\) 297248. 143147.i 0.482162 0.232197i
\(208\) −293188. + 507816.i −0.469880 + 0.813856i
\(209\) 627.546 + 1086.94i 0.000993756 + 0.00172124i
\(210\) 167460. + 114172.i 0.262037 + 0.178654i
\(211\) −38940.8 + 170611.i −0.0602141 + 0.263815i −0.996070 0.0885671i \(-0.971771\pi\)
0.935856 + 0.352382i \(0.114628\pi\)
\(212\) −1.06860e6 161066.i −1.63296 0.246130i
\(213\) 113000. + 141697.i 0.170658 + 0.213999i
\(214\) −128652. −0.192035
\(215\) −48527.8 83270.4i −0.0715970 0.122855i
\(216\) −143038. −0.208602
\(217\) −694350. 870688.i −1.00099 1.25520i
\(218\) −1.73293e6 261198.i −2.46968 0.372245i
\(219\) −24662.0 + 108051.i −0.0347470 + 0.152237i
\(220\) −6121.51 4173.58i −0.00852711 0.00581369i
\(221\) 329463. + 570646.i 0.453759 + 0.785934i
\(222\) 272712. 472352.i 0.371383 0.643255i
\(223\) −1.06027e6 + 510600.i −1.42776 + 0.687573i −0.978580 0.205867i \(-0.933998\pi\)
−0.449181 + 0.893441i \(0.648284\pi\)
\(224\) 1.98779e6 + 613153.i 2.64699 + 0.816487i
\(225\) 20790.2 + 277426.i 0.0273781 + 0.365335i
\(226\) −361211. 1.58257e6i −0.470424 2.06106i
\(227\) −81706.1 + 208184.i −0.105242 + 0.268153i −0.973789 0.227455i \(-0.926959\pi\)
0.868546 + 0.495608i \(0.165055\pi\)
\(228\) −1627.06 + 21711.7i −0.00207285 + 0.0276603i
\(229\) −1.28550e6 + 193758.i −1.61988 + 0.244158i −0.895441 0.445181i \(-0.853139\pi\)
−0.724439 + 0.689339i \(0.757901\pi\)
\(230\) 174735. + 162131.i 0.217802 + 0.202091i
\(231\) −71607.1 34484.1i −0.0882929 0.0425196i
\(232\) 94213.9 64234.0i 0.114920 0.0783510i
\(233\) −234599. 597749.i −0.283098 0.721321i −0.999715 0.0238551i \(-0.992406\pi\)
0.716618 0.697466i \(-0.245689\pi\)
\(234\) −482344. + 148783.i −0.575860 + 0.177629i
\(235\) 40338.8 37428.9i 0.0476490 0.0442118i
\(236\) 301818. 378468.i 0.352749 0.442333i
\(237\) −15455.1 + 19380.0i −0.0178731 + 0.0224122i
\(238\) 1.48439e6 1.37732e6i 1.69866 1.57613i
\(239\) 1.28469e6 396275.i 1.45480 0.448748i 0.536255 0.844056i \(-0.319838\pi\)
0.918549 + 0.395308i \(0.129362\pi\)
\(240\) 31225.3 + 79560.7i 0.0349927 + 0.0891601i
\(241\) −690792. + 470974.i −0.766134 + 0.522342i −0.882186 0.470902i \(-0.843929\pi\)
0.116051 + 0.993243i \(0.462976\pi\)
\(242\) −1.19342e6 574721.i −1.30995 0.630839i
\(243\) 473925. + 439738.i 0.514866 + 0.477726i
\(244\) 185363. 27938.9i 0.199318 0.0300424i
\(245\) 27232.7 363396.i 0.0289852 0.386780i
\(246\) 484058. 1.23336e6i 0.509987 1.29943i
\(247\) 7297.60 + 31972.9i 0.00761093 + 0.0333457i
\(248\) 11549.0 + 154111.i 0.0119239 + 0.159113i
\(249\) 1.13706e6 + 350738.i 1.16221 + 0.358496i
\(250\) −365931. + 176223.i −0.370296 + 0.178325i
\(251\) −714764. + 1.23801e6i −0.716108 + 1.24034i 0.246423 + 0.969162i \(0.420745\pi\)
−0.962531 + 0.271173i \(0.912589\pi\)
\(252\) 411717. + 713114.i 0.408411 + 0.707388i
\(253\) −77231.3 52655.4i −0.0758563 0.0517180i
\(254\) 584107. 2.55914e6i 0.568078 2.48891i
\(255\) 94970.8 + 14314.5i 0.0914618 + 0.0137856i
\(256\) 449718. + 563929.i 0.428885 + 0.537805i
\(257\) 1.20516e6 1.13818 0.569092 0.822274i \(-0.307295\pi\)
0.569092 + 0.822274i \(0.307295\pi\)
\(258\) 97296.5 + 1.23126e6i 0.0910013 + 1.15159i
\(259\) −1.34020e6 −1.24143
\(260\) −120703. 151356.i −0.110735 0.138857i
\(261\) −294951. 44456.7i −0.268009 0.0403958i
\(262\) −470797. + 2.06270e6i −0.423721 + 1.85644i
\(263\) 289409. + 197316.i 0.258002 + 0.175903i 0.685413 0.728155i \(-0.259622\pi\)
−0.427411 + 0.904058i \(0.640574\pi\)
\(264\) 5514.65 + 9551.65i 0.00486976 + 0.00843468i
\(265\) −118630. + 205474.i −0.103772 + 0.179739i
\(266\) 90802.5 43728.2i 0.0786853 0.0378928i
\(267\) 117264. + 36171.2i 0.100667 + 0.0310517i
\(268\) −28273.8 377287.i −0.0240462 0.320875i
\(269\) 78156.3 + 342425.i 0.0658542 + 0.288526i 0.997122 0.0758083i \(-0.0241537\pi\)
−0.931268 + 0.364334i \(0.881297\pi\)
\(270\) −98765.7 + 251651.i −0.0824512 + 0.210082i
\(271\) 43659.8 582599.i 0.0361126 0.481889i −0.949601 0.313460i \(-0.898512\pi\)
0.985714 0.168428i \(-0.0538692\pi\)
\(272\) 844383. 127270.i 0.692018 0.104305i
\(273\) −1.52235e6 1.41253e6i −1.23625 1.14708i
\(274\) −2.32492e6 1.11962e6i −1.87082 0.900937i
\(275\) 65125.0 44401.5i 0.0519297 0.0354051i
\(276\) −592407. 1.50943e6i −0.468109 1.19272i
\(277\) −734808. + 226658.i −0.575406 + 0.177489i −0.568781 0.822489i \(-0.692585\pi\)
−0.00662496 + 0.999978i \(0.502109\pi\)
\(278\) 2.41886e6 2.24438e6i 1.87715 1.74174i
\(279\) 252057. 316069.i 0.193860 0.243093i
\(280\) −43089.5 + 54032.5i −0.0328455 + 0.0411870i
\(281\) 1.81892e6 1.68771e6i 1.37420 1.27507i 0.450062 0.892997i \(-0.351402\pi\)
0.924134 0.382069i \(-0.124789\pi\)
\(282\) −673860. + 207858.i −0.504600 + 0.155648i
\(283\) 681715. + 1.73698e6i 0.505984 + 1.28923i 0.924558 + 0.381043i \(0.124435\pi\)
−0.418574 + 0.908183i \(0.637470\pi\)
\(284\) −439556. + 299684.i −0.323384 + 0.220479i
\(285\) 4306.77 + 2074.03i 0.00314079 + 0.00151253i
\(286\) 104835. + 97272.6i 0.0757863 + 0.0703194i
\(287\) −3.21926e6 + 485226.i −2.30702 + 0.347728i
\(288\) −56431.7 + 753029.i −0.0400906 + 0.534971i
\(289\) −168161. + 428466.i −0.118435 + 0.301767i
\(290\) −47955.2 210106.i −0.0334843 0.146704i
\(291\) 91571.0 + 1.22193e6i 0.0633907 + 0.845890i
\(292\) −310872. 95891.4i −0.213366 0.0658146i
\(293\) 767277. 369501.i 0.522136 0.251447i −0.154202 0.988039i \(-0.549281\pi\)
0.676337 + 0.736592i \(0.263566\pi\)
\(294\) −2.33498e6 + 4.04431e6i −1.57549 + 2.72883i
\(295\) −53139.6 92040.5i −0.0355520 0.0615778i
\(296\) 153666. + 104768.i 0.101941 + 0.0695021i
\(297\) 23589.6 103353.i 0.0155177 0.0679877i
\(298\) 1.57659e6 + 237633.i 1.02844 + 0.155012i
\(299\) −1.52283e6 1.90957e6i −0.985083 1.23526i
\(300\) 1.36734e6 0.877148
\(301\) 2.50054e6 1.71975e6i 1.59081 1.09408i
\(302\) −720481. −0.454574
\(303\) −840060. 1.05340e6i −0.525658 0.659155i
\(304\) 42025.5 + 6334.32i 0.0260813 + 0.00393112i
\(305\) 9158.05 40124.0i 0.00563707 0.0246976i
\(306\) 607352. + 414085.i 0.370797 + 0.252805i
\(307\) 682383. + 1.18192e6i 0.413221 + 0.715720i 0.995240 0.0974553i \(-0.0310703\pi\)
−0.582019 + 0.813175i \(0.697737\pi\)
\(308\) 116648. 202040.i 0.0700648 0.121356i
\(309\) −997271. + 480260.i −0.594178 + 0.286141i
\(310\) 279107. + 86093.0i 0.164955 + 0.0508819i
\(311\) 210.375 + 2807.26i 0.000123337 + 0.00164581i 0.997265 0.0739072i \(-0.0235468\pi\)
−0.997142 + 0.0755530i \(0.975928\pi\)
\(312\) 64128.7 + 280966.i 0.0372963 + 0.163406i
\(313\) −376231. + 958622.i −0.217067 + 0.553078i −0.997382 0.0723083i \(-0.976963\pi\)
0.780315 + 0.625387i \(0.215059\pi\)
\(314\) −271664. + 3.62510e6i −0.155492 + 2.07489i
\(315\) 178765. 26944.5i 0.101509 0.0153001i
\(316\) −53338.0 49490.5i −0.0300483 0.0278807i
\(317\) 1.42787e6 + 687625.i 0.798068 + 0.384329i 0.788043 0.615621i \(-0.211095\pi\)
0.0100250 + 0.999950i \(0.496809\pi\)
\(318\) 2.51217e6 1.71277e6i 1.39310 0.949799i
\(319\) 30874.8 + 78667.8i 0.0169874 + 0.0432833i
\(320\) −309463. + 95456.6i −0.168940 + 0.0521112i
\(321\) 140850. 130690.i 0.0762949 0.0707913i
\(322\) −4.67982e6 + 5.86831e6i −2.51530 + 3.15409i
\(323\) 29777.0 37339.1i 0.0158809 0.0199140i
\(324\) 762076. 707103.i 0.403307 0.374214i
\(325\) 1.96807e6 607068.i 1.03355 0.318808i
\(326\) −245041. 624355.i −0.127701 0.325377i
\(327\) 2.16258e6 1.47442e6i 1.11842 0.762523i
\(328\) 407048. + 196024.i 0.208911 + 0.100606i
\(329\) 1.27021e6 + 1.17859e6i 0.646974 + 0.600304i
\(330\) 20612.2 3106.80i 0.0104193 0.00157046i
\(331\) 206399. 2.75421e6i 0.103547 1.38174i −0.667333 0.744760i \(-0.732564\pi\)
0.770880 0.636981i \(-0.219817\pi\)
\(332\) −1.27609e6 + 3.25142e6i −0.635382 + 1.61893i
\(333\) −108258. 474311.i −0.0534996 0.234397i
\(334\) −263279. 3.51322e6i −0.129137 1.72321i
\(335\) −79375.1 24484.0i −0.0386431 0.0119198i
\(336\) −2.42477e6 + 1.16771e6i −1.17172 + 0.564270i
\(337\) 513722. 889792.i 0.246407 0.426790i −0.716119 0.697978i \(-0.754083\pi\)
0.962526 + 0.271188i \(0.0874167\pi\)
\(338\) 335226. + 580629.i 0.159605 + 0.276444i
\(339\) 2.00310e6 + 1.36569e6i 0.946681 + 0.645436i
\(340\) −62733.6 + 274854.i −0.0294308 + 0.128945i
\(341\) −113258. 17070.9i −0.0527453 0.00795007i
\(342\) 22810.6 + 28603.6i 0.0105456 + 0.0132238i
\(343\) 7.26809e6 3.33568
\(344\) −421147. + 1709.21i −0.191884 + 0.000778751i
\(345\) −356003. −0.161030
\(346\) 859310. + 1.07754e6i 0.385886 + 0.483886i
\(347\) 1.52354e6 + 229637.i 0.679251 + 0.102381i 0.479601 0.877487i \(-0.340781\pi\)
0.199650 + 0.979867i \(0.436019\pi\)
\(348\) −326220. + 1.42926e6i −0.144399 + 0.632652i
\(349\) −1.27844e6 871622.i −0.561843 0.383058i 0.248839 0.968545i \(-0.419951\pi\)
−0.810682 + 0.585487i \(0.800903\pi\)
\(350\) −3.16464e6 5.48132e6i −1.38087 2.39175i
\(351\) 1.38501e6 2.39891e6i 0.600047 1.03931i
\(352\) 192760. 92828.1i 0.0829200 0.0399322i
\(353\) −2.52656e6 779341.i −1.07918 0.332882i −0.296324 0.955088i \(-0.595761\pi\)
−0.782854 + 0.622205i \(0.786237\pi\)
\(354\) 101780. + 1.35816e6i 0.0431672 + 0.576026i
\(355\) 25990.3 + 113871.i 0.0109456 + 0.0479559i
\(356\) −131601. + 335315.i −0.0550346 + 0.140226i
\(357\) −226005. + 3.01582e6i −0.0938527 + 1.25238i
\(358\) 298833. 45041.8i 0.123231 0.0185741i
\(359\) −1.91046e6 1.77265e6i −0.782351 0.725915i 0.184061 0.982915i \(-0.441076\pi\)
−0.966412 + 0.257000i \(0.917266\pi\)
\(360\) −22603.3 10885.2i −0.00919212 0.00442669i
\(361\) −2.04389e6 + 1.39350e6i −0.825446 + 0.562779i
\(362\) −1.72523e6 4.39581e6i −0.691951 1.76306i
\(363\) 1.89040e6 583112.i 0.752988 0.232266i
\(364\) 4.46864e6 4.14629e6i 1.76775 1.64024i
\(365\) −44532.8 + 55842.3i −0.0174964 + 0.0219397i
\(366\) −328836. + 412347.i −0.128315 + 0.160902i
\(367\) 403488. 374382.i 0.156374 0.145094i −0.598106 0.801417i \(-0.704080\pi\)
0.754480 + 0.656323i \(0.227889\pi\)
\(368\) −3.02459e6 + 932963.i −1.16425 + 0.359124i
\(369\) −431771. 1.10013e6i −0.165077 0.420610i
\(370\) 290425. 198008.i 0.110288 0.0751932i
\(371\) −6.73116e6 3.24156e6i −2.53896 1.22270i
\(372\) −1.45652e6 1.35145e6i −0.545706 0.506341i
\(373\) −1.13621e6 + 171257.i −0.422852 + 0.0637346i −0.357021 0.934096i \(-0.616208\pi\)
−0.0658302 + 0.997831i \(0.520970\pi\)
\(374\) 15563.5 207681.i 0.00575347 0.0767747i
\(375\) 221613. 564660.i 0.0813798 0.207352i
\(376\) −53507.5 234432.i −0.0195184 0.0855158i
\(377\) 165020. + 2.20203e6i 0.0597974 + 0.797941i
\(378\) −8.13439e6 2.50913e6i −2.92817 0.903220i
\(379\) −2.61113e6 + 1.25745e6i −0.933748 + 0.449669i −0.837959 0.545732i \(-0.816252\pi\)
−0.0957884 + 0.995402i \(0.530537\pi\)
\(380\) −7015.72 + 12151.6i −0.00249237 + 0.00431692i
\(381\) 1.96019e6 + 3.39515e6i 0.691809 + 1.19825i
\(382\) 4.01375e6 + 2.73653e6i 1.40732 + 0.959492i
\(383\) −213696. + 936264.i −0.0744389 + 0.326138i −0.998413 0.0563171i \(-0.982064\pi\)
0.923974 + 0.382455i \(0.124921\pi\)
\(384\) 860140. + 129645.i 0.297674 + 0.0448671i
\(385\) −31935.1 40045.4i −0.0109804 0.0137689i
\(386\) 6.83746e6 2.33575
\(387\) 810624. + 746050.i 0.275133 + 0.253216i
\(388\) −3.59686e6 −1.21295
\(389\) −1.52993e6 1.91847e6i −0.512623 0.642809i 0.456402 0.889774i \(-0.349138\pi\)
−0.969024 + 0.246965i \(0.920567\pi\)
\(390\) 538591. + 81179.5i 0.179307 + 0.0270262i
\(391\) −791470. + 3.46766e6i −0.261814 + 1.14708i
\(392\) −1.31570e6 897029.i −0.432456 0.294843i
\(393\) −1.57994e6 2.73653e6i −0.516011 0.893757i
\(394\) −3.68171e6 + 6.37691e6i −1.19484 + 2.06952i
\(395\) −14392.8 + 6931.19i −0.00464143 + 0.00223519i
\(396\) 80926.5 + 24962.5i 0.0259330 + 0.00799927i
\(397\) 233856. + 3.12060e6i 0.0744686 + 0.993714i 0.901843 + 0.432064i \(0.142214\pi\)
−0.827375 + 0.561650i \(0.810167\pi\)
\(398\) −256104. 1.12207e6i −0.0810417 0.355067i
\(399\) −54991.3 + 140115.i −0.0172926 + 0.0440609i
\(400\) 199459. 2.66159e6i 0.0623308 0.831747i
\(401\) 30117.3 4539.45i 0.00935309 0.00140975i −0.144364 0.989525i \(-0.546114\pi\)
0.153717 + 0.988115i \(0.450876\pi\)
\(402\) 780321. + 724032.i 0.240829 + 0.223456i
\(403\) −2.69644e6 1.29854e6i −0.827044 0.398283i
\(404\) 3.26774e6 2.22791e6i 0.996079 0.679115i
\(405\) −83386.2 212465.i −0.0252614 0.0643649i
\(406\) 6.48459e6 2.00023e6i 1.95239 0.602234i
\(407\) −101042. + 93753.7i −0.0302355 + 0.0280545i
\(408\) 261669. 328123.i 0.0778220 0.0975857i
\(409\) 1.95683e6 2.45379e6i 0.578422 0.725318i −0.403421 0.915015i \(-0.632179\pi\)
0.981843 + 0.189696i \(0.0607504\pi\)
\(410\) 625931. 580779.i 0.183894 0.170628i
\(411\) 3.68272e6 1.13597e6i 1.07539 0.331712i
\(412\) −1.18703e6 3.02451e6i −0.344524 0.877833i
\(413\) 2.76508e6 1.88520e6i 0.797687 0.543854i
\(414\) −2.45488e6 1.18221e6i −0.703929 0.338994i
\(415\) 562145. + 521595.i 0.160224 + 0.148666i
\(416\) 5.52792e6 833200.i 1.56613 0.236057i
\(417\) −368281. + 4.91437e6i −0.103714 + 1.38397i
\(418\) 3786.91 9648.89i 0.00106009 0.00270107i
\(419\) 1.57331e6 + 6.89314e6i 0.437805 + 1.91815i 0.394008 + 0.919107i \(0.371088\pi\)
0.0437962 + 0.999040i \(0.486055\pi\)
\(420\) −66400.1 886047.i −0.0183673 0.245095i
\(421\) 439740. + 135642.i 0.120918 + 0.0372982i 0.354624 0.935009i \(-0.384609\pi\)
−0.233706 + 0.972307i \(0.575085\pi\)
\(422\) 1.30213e6 627073.i 0.355937 0.171410i
\(423\) −314508. + 544744.i −0.0854636 + 0.148027i
\(424\) 518384. + 897867.i 0.140035 + 0.242548i
\(425\) −2.47813e6 1.68956e6i −0.665505 0.453733i
\(426\) 333065. 1.45925e6i 0.0889212 0.389589i
\(427\) 1.28147e6 + 193150.i 0.340125 + 0.0512655i
\(428\) 351652. + 440958.i 0.0927906 + 0.116356i
\(429\) −213589. −0.0560319
\(430\) −287789. + 742116.i −0.0750590 + 0.193553i
\(431\) −119786. −0.0310607 −0.0155304 0.999879i \(-0.504944\pi\)
−0.0155304 + 0.999879i \(0.504944\pi\)
\(432\) −2.23817e6 2.80658e6i −0.577011 0.723549i
\(433\) −1.62208e6 244489.i −0.415770 0.0626672i −0.0621734 0.998065i \(-0.519803\pi\)
−0.353596 + 0.935398i \(0.615041\pi\)
\(434\) −2.04659e6 + 8.96670e6i −0.521563 + 2.28512i
\(435\) 265937. + 181312.i 0.0673837 + 0.0459414i
\(436\) 3.84148e6 + 6.65363e6i 0.967792 + 1.67626i
\(437\) −88512.9 + 153309.i −0.0221719 + 0.0384029i
\(438\) 824666. 397138.i 0.205396 0.0989137i
\(439\) −723455. 223156.i −0.179164 0.0552647i 0.203875 0.978997i \(-0.434646\pi\)
−0.383039 + 0.923732i \(0.625122\pi\)
\(440\) 531.173 + 7088.01i 0.000130799 + 0.00174539i
\(441\) 926916. + 4.06108e6i 0.226957 + 0.994364i
\(442\) 1.98813e6 5.06568e6i 0.484049 1.23334i
\(443\) −159339. + 2.12623e6i −0.0385756 + 0.514756i 0.944129 + 0.329576i \(0.106906\pi\)
−0.982705 + 0.185180i \(0.940713\pi\)
\(444\) −2.36442e6 + 356379.i −0.569203 + 0.0857936i
\(445\) 57973.5 + 53791.5i 0.0138781 + 0.0128770i
\(446\) 8.75646e6 + 4.21689e6i 2.08445 + 1.00382i
\(447\) −1.96748e6 + 1.34140e6i −0.465737 + 0.317534i
\(448\) −3.72560e6 9.49268e6i −0.877004 2.23457i
\(449\) −6.42171e6 + 1.98084e6i −1.50326 + 0.463695i −0.933641 0.358211i \(-0.883387\pi\)
−0.569623 + 0.821906i \(0.692911\pi\)
\(450\) 1.68426e6 1.56276e6i 0.392083 0.363800i
\(451\) −208767. + 261786.i −0.0483305 + 0.0606045i
\(452\) −4.43698e6 + 5.56380e6i −1.02151 + 1.28093i
\(453\) 788795. 731895.i 0.180600 0.167573i
\(454\) 1.76494e6 544413.i 0.401875 0.123962i
\(455\) −488958. 1.24584e6i −0.110724 0.282121i
\(456\) 17258.5 11766.6i 0.00388678 0.00264996i
\(457\) 7.33422e6 + 3.53197e6i 1.64272 + 0.791092i 0.999681 + 0.0252585i \(0.00804089\pi\)
0.643039 + 0.765834i \(0.277673\pi\)
\(458\) 7.87037e6 + 7.30263e6i 1.75320 + 1.62673i
\(459\) −3.98884e6 + 601221.i −0.883721 + 0.133199i
\(460\) 78092.6 1.04207e6i 0.0172074 0.229617i
\(461\) 1.54005e6 3.92399e6i 0.337507 0.859955i −0.656864 0.754009i \(-0.728118\pi\)
0.994372 0.105946i \(-0.0337872\pi\)
\(462\) 146059. + 639926.i 0.0318363 + 0.139484i
\(463\) 156601. + 2.08969e6i 0.0339502 + 0.453034i 0.988111 + 0.153740i \(0.0491319\pi\)
−0.954161 + 0.299293i \(0.903249\pi\)
\(464\) 2.73455e6 + 843496.i 0.589645 + 0.181881i
\(465\) −393028. + 189272.i −0.0842929 + 0.0405933i
\(466\) −2.65160e6 + 4.59271e6i −0.565645 + 0.979726i
\(467\) −4.34457e6 7.52502e6i −0.921838 1.59667i −0.796569 0.604547i \(-0.793354\pi\)
−0.125269 0.992123i \(-0.539979\pi\)
\(468\) 1.82838e6 + 1.24657e6i 0.385879 + 0.263088i
\(469\) 582030. 2.55004e6i 0.122184 0.535322i
\(470\) −449388. 67734.3i −0.0938375 0.0141437i
\(471\) −3.38511e6 4.24479e6i −0.703105 0.881666i
\(472\) −464412. −0.0959508
\(473\) 68219.7 304583.i 0.0140203 0.0625969i
\(474\) 204716. 0.0418511
\(475\) −93072.3 116709.i −0.0189272 0.0237340i
\(476\) −8.77818e6 1.32310e6i −1.77577 0.267655i
\(477\) 603491. 2.64407e6i 0.121444 0.532080i
\(478\) −9.17386e6 6.25463e6i −1.83646 1.25208i
\(479\) 2.89279e6 + 5.01046e6i 0.576073 + 0.997788i 0.995924 + 0.0901952i \(0.0287491\pi\)
−0.419851 + 0.907593i \(0.637918\pi\)
\(480\) 407420. 705672.i 0.0807122 0.139798i
\(481\) −3.24499e6 + 1.56270e6i −0.639514 + 0.307974i
\(482\) 6.59807e6 + 2.03523e6i 1.29360 + 0.399022i
\(483\) −837728. 1.11787e7i −0.163394 2.18034i
\(484\) 1.29218e6 + 5.66140e6i 0.250732 + 1.09853i
\(485\) −288505. + 735100.i −0.0556929 + 0.141903i
\(486\) 399008. 5.32439e6i 0.0766286 1.02254i
\(487\) −5.79390e6 + 873290.i −1.10700 + 0.166854i −0.677006 0.735977i \(-0.736723\pi\)
−0.429996 + 0.902831i \(0.641485\pi\)
\(488\) −131832. 122323.i −0.0250595 0.0232518i
\(489\) 902522. + 434632.i 0.170681 + 0.0821957i
\(490\) −2.48664e6 + 1.69536e6i −0.467867 + 0.318986i
\(491\) 258432. + 658473.i 0.0483773 + 0.123263i 0.953020 0.302908i \(-0.0979574\pi\)
−0.904643 + 0.426171i \(0.859862\pi\)
\(492\) −5.55048e6 + 1.71210e6i −1.03376 + 0.318871i
\(493\) 2.35731e6 2.18726e6i 0.436817 0.405307i
\(494\) 168869. 211755.i 0.0311338 0.0390406i
\(495\) 11592.8 14536.9i 0.00212655 0.00266661i
\(496\) −2.84314e6 + 2.63804e6i −0.518912 + 0.481480i
\(497\) −3.51446e6 + 1.08407e6i −0.638215 + 0.196863i
\(498\) −3.59030e6 9.14792e6i −0.648719 1.65291i
\(499\) 2.95878e6 2.01726e6i 0.531937 0.362669i −0.267367 0.963595i \(-0.586154\pi\)
0.799305 + 0.600926i \(0.205201\pi\)
\(500\) 1.60423e6 + 772557.i 0.286974 + 0.138199i
\(501\) 3.85712e6 + 3.57888e6i 0.686544 + 0.637020i
\(502\) 1.16742e7 1.75960e6i 2.06760 0.311640i
\(503\) −151364. + 2.01982e6i −0.0266749 + 0.355952i 0.967856 + 0.251506i \(0.0809259\pi\)
−0.994531 + 0.104446i \(0.966693\pi\)
\(504\) 288612. 735371.i 0.0506102 0.128953i
\(505\) −193217. 846538.i −0.0337145 0.147713i
\(506\) 57689.1 + 769808.i 0.0100165 + 0.133661i
\(507\) −956839. 295146.i −0.165318 0.0509937i
\(508\) −1.03681e7 + 4.99302e6i −1.78254 + 0.858428i
\(509\) 296417. 513409.i 0.0507118 0.0878353i −0.839555 0.543274i \(-0.817184\pi\)
0.890267 + 0.455439i \(0.150518\pi\)
\(510\) −396597. 686926.i −0.0675186 0.116946i
\(511\) −1.85827e6 1.26695e6i −0.314816 0.214638i
\(512\) 1.82771e6 8.00772e6i 0.308129 1.35000i
\(513\) −198527. 29923.2i −0.0333063 0.00502012i
\(514\) −6.20563e6 7.78161e6i −1.03604 1.29916i
\(515\) −713339. −0.118516
\(516\) 3.95422e6 3.69896e6i 0.653787 0.611582i
\(517\) 178213. 0.0293234
\(518\) 6.90098e6 + 8.65356e6i 1.13002 + 1.41700i
\(519\) −2.03540e6 306787.i −0.331689 0.0499941i
\(520\) −41328.1 + 181070.i −0.00670250 + 0.0293656i
\(521\) −5.33008e6 3.63399e6i −0.860279 0.586529i 0.0508235 0.998708i \(-0.483815\pi\)
−0.911103 + 0.412179i \(0.864768\pi\)
\(522\) 1.23171e6 + 2.13339e6i 0.197848 + 0.342684i
\(523\) 2.31907e6 4.01676e6i 0.370732 0.642127i −0.618946 0.785434i \(-0.712440\pi\)
0.989678 + 0.143306i \(0.0457734\pi\)
\(524\) 8.35681e6 4.02443e6i 1.32957 0.640289i
\(525\) 9.03286e6 + 2.78627e6i 1.43030 + 0.441189i
\(526\) −216179. 2.88471e6i −0.0340682 0.454608i
\(527\) 969827. + 4.24909e6i 0.152113 + 0.666453i
\(528\) −101125. + 257662.i −0.0157860 + 0.0402222i
\(529\) 504257. 6.72884e6i 0.0783453 1.04544i
\(530\) 1.93758e6 292043.i 0.299619 0.0451603i
\(531\) 890547. + 826307.i 0.137063 + 0.127176i
\(532\) −398076. 191703.i −0.0609799 0.0293664i
\(533\) −7.22890e6 + 4.92858e6i −1.10218 + 0.751457i
\(534\) −370263. 943416.i −0.0561898 0.143169i
\(535\) 118326. 36498.7i 0.0178729 0.00551307i
\(536\) −266079. + 246885.i −0.0400036 + 0.0371179i
\(537\) −281412. + 352880.i −0.0421121 + 0.0528069i
\(538\) 1.80856e6 2.26786e6i 0.269388 0.337801i
\(539\) 865132. 802726.i 0.128266 0.119013i
\(540\) 1.13250e6 349331.i 0.167130 0.0515529i
\(541\) 1.27385e6 + 3.24572e6i 0.187122 + 0.476780i 0.993392 0.114768i \(-0.0366124\pi\)
−0.806270 + 0.591548i \(0.798517\pi\)
\(542\) −3.98660e6 + 2.71802e6i −0.582913 + 0.397424i
\(543\) 6.35427e6 + 3.06005e6i 0.924839 + 0.445379i
\(544\) −5.96783e6 5.53734e6i −0.864608 0.802239i
\(545\) 1.66795e6 251403.i 0.240542 0.0362559i
\(546\) −1.28170e6 + 1.71031e7i −0.183994 + 2.45524i
\(547\) 3.14472e6 8.01261e6i 0.449380 1.14500i −0.509319 0.860578i \(-0.670103\pi\)
0.958699 0.284423i \(-0.0918021\pi\)
\(548\) 2.51731e6 + 1.10291e7i 0.358084 + 1.56887i
\(549\) 35156.2 + 469126.i 0.00497818 + 0.0664292i
\(550\) −622038. 191873.i −0.0876819 0.0270463i
\(551\) 144200. 69443.1i 0.0202342 0.00974428i
\(552\) −777820. + 1.34722e6i −0.108650 + 0.188188i
\(553\) −251512. 435631.i −0.0349740 0.0605767i
\(554\) 5.24719e6 + 3.57747e6i 0.726361 + 0.495224i
\(555\) −116817. + 511809.i −0.0160981 + 0.0705302i
\(556\) −1.43043e7 2.15603e6i −1.96237 0.295779i
\(557\) 5.60917e6 + 7.03367e6i 0.766056 + 0.960604i 0.999932 0.0116628i \(-0.00371246\pi\)
−0.233876 + 0.972266i \(0.575141\pi\)
\(558\) −3.33872e6 −0.453936
\(559\) 4.04922e6 7.07965e6i 0.548077 0.958257i
\(560\) −1.73442e6 −0.233714
\(561\) 193932. + 243183.i 0.0260161 + 0.0326232i
\(562\) −2.02634e7 3.05422e6i −2.70627 0.407905i
\(563\) 1.16640e6 5.11032e6i 0.155087 0.679481i −0.836273 0.548313i \(-0.815270\pi\)
0.991360 0.131168i \(-0.0418727\pi\)
\(564\) 2.55435e6 + 1.74152e6i 0.338129 + 0.230532i
\(565\) 781197. + 1.35307e6i 0.102953 + 0.178320i
\(566\) 7.70522e6 1.33458e7i 1.01098 1.75107i
\(567\) 6.47529e6 3.11834e6i 0.845866 0.407348i
\(568\) 487708. + 150438.i 0.0634291 + 0.0195653i
\(569\) 414449. + 5.53044e6i 0.0536649 + 0.716109i 0.957538 + 0.288308i \(0.0930926\pi\)
−0.903873 + 0.427801i \(0.859288\pi\)
\(570\) −8784.63 38488.0i −0.00113249 0.00496178i
\(571\) 2.52764e6 6.44033e6i 0.324433 0.826642i −0.671865 0.740674i \(-0.734506\pi\)
0.996298 0.0859684i \(-0.0273984\pi\)
\(572\) 46852.7 625206.i 0.00598749 0.0798975i
\(573\) −7.17421e6 + 1.08134e6i −0.912824 + 0.137586i
\(574\) 1.97097e7 + 1.82879e7i 2.49690 + 2.31678i
\(575\) 1.00164e7 + 4.82366e6i 1.26341 + 0.608425i
\(576\) 3.05861e6 2.08532e6i 0.384121 0.261889i
\(577\) −1.96612e6 5.00960e6i −0.245851 0.626418i 0.753674 0.657249i \(-0.228280\pi\)
−0.999525 + 0.0308311i \(0.990185\pi\)
\(578\) 3.63246e6 1.12047e6i 0.452253 0.139501i
\(579\) −7.48578e6 + 6.94579e6i −0.927984 + 0.861044i
\(580\) −589064. + 738663.i −0.0727097 + 0.0911751i
\(581\) −1.50556e7 + 1.88791e7i −1.85036 + 2.32028i
\(582\) 7.41837e6 6.88324e6i 0.907822 0.842336i
\(583\) −734247. + 226485.i −0.0894686 + 0.0275974i
\(584\) 114026. + 290534.i 0.0138348 + 0.0352504i
\(585\) 401420. 273683.i 0.0484963 0.0330642i
\(586\) −6.33670e6 3.05159e6i −0.762288 0.367099i
\(587\) −8.34286e6 7.74104e6i −0.999354 0.927265i −0.00200301 0.999998i \(-0.500638\pi\)
−0.997351 + 0.0727325i \(0.976828\pi\)
\(588\) 2.02443e7 3.05134e6i 2.41468 0.363955i
\(589\) −16210.3 + 216312.i −0.00192532 + 0.0256917i
\(590\) −320670. + 817053.i −0.0379252 + 0.0966318i
\(591\) −2.44713e6 1.07216e7i −0.288197 1.26267i
\(592\) 348803. + 4.65445e6i 0.0409049 + 0.545838i
\(593\) −8.37002e6 2.58181e6i −0.977439 0.301500i −0.235431 0.971891i \(-0.575650\pi\)
−0.742008 + 0.670391i \(0.766126\pi\)
\(594\) −788805. + 379868.i −0.0917283 + 0.0441740i
\(595\) −974507. + 1.68790e6i −0.112848 + 0.195458i
\(596\) −3.49490e6 6.05334e6i −0.403013 0.698039i
\(597\) 1.42023e6 + 968296.i 0.163088 + 0.111192i
\(598\) −4.48852e6 + 1.96655e7i −0.513275 + 2.24881i
\(599\) −1.21156e7 1.82614e6i −1.37968 0.207953i −0.583058 0.812431i \(-0.698144\pi\)
−0.796622 + 0.604477i \(0.793382\pi\)
\(600\) −817886. 1.02560e6i −0.0927501 0.116305i
\(601\) −9.99106e6 −1.12830 −0.564151 0.825672i \(-0.690796\pi\)
−0.564151 + 0.825672i \(0.690796\pi\)
\(602\) −2.39801e7 7.29042e6i −2.69686 0.819901i
\(603\) 949499. 0.106341
\(604\) 1.96934e6 + 2.46947e6i 0.219648 + 0.275430i
\(605\) 1.26068e6 + 190017.i 0.140029 + 0.0211059i
\(606\) −2.47607e6 + 1.08484e7i −0.273893 + 1.20000i
\(607\) −791583. 539692.i −0.0872016 0.0594531i 0.518934 0.854814i \(-0.326329\pi\)
−0.606136 + 0.795361i \(0.707281\pi\)
\(608\) −202593. 350902.i −0.0222263 0.0384970i
\(609\) −5.06753e6 + 8.77722e6i −0.553672 + 0.958989i
\(610\) −306234. + 147474.i −0.0333218 + 0.0160469i
\(611\) 4.44978e6 + 1.37257e6i 0.482209 + 0.148742i
\(612\) −240823. 3.21356e6i −0.0259908 0.346823i
\(613\) 2.39500e6 + 1.04932e7i 0.257428 + 1.12786i 0.923991 + 0.382415i \(0.124908\pi\)
−0.666563 + 0.745449i \(0.732235\pi\)
\(614\) 4.11782e6 1.04920e7i 0.440805 1.12315i
\(615\) −95300.4 + 1.27169e6i −0.0101603 + 0.135580i
\(616\) −221318. + 33358.3i −0.0234998 + 0.00354203i
\(617\) 1.17286e7 + 1.08826e7i 1.24032 + 1.15085i 0.982818 + 0.184575i \(0.0590908\pi\)
0.257505 + 0.966277i \(0.417100\pi\)
\(618\) 8.23614e6 + 3.96632e6i 0.867466 + 0.417750i
\(619\) 5.73269e6 3.90848e6i 0.601356 0.409998i −0.224017 0.974585i \(-0.571917\pi\)
0.825373 + 0.564587i \(0.190965\pi\)
\(620\) −467814. 1.19197e6i −0.0488758 0.124533i
\(621\) 1.42881e7 4.40729e6i 1.48677 0.458609i
\(622\) 17042.9 15813.5i 0.00176631 0.00163890i
\(623\) −1.55266e6 + 1.94698e6i −0.160272 + 0.200975i
\(624\) −4.50944e6 + 5.65466e6i −0.463619 + 0.581360i
\(625\) −6.72740e6 + 6.24211e6i −0.688886 + 0.639192i
\(626\) 8.12702e6 2.50685e6i 0.828887 0.255678i
\(627\) 5655.77 + 14410.7i 0.000574544 + 0.00146391i
\(628\) 1.31677e7 8.97758e6i 1.33233 0.908365i
\(629\) 4.72557e6 + 2.27572e6i 0.476242 + 0.229346i
\(630\) −1.09448e6 1.01553e6i −0.109864 0.101939i
\(631\) 4.01623e6 605350.i 0.401555 0.0605247i 0.0548401 0.998495i \(-0.482535\pi\)
0.346715 + 0.937970i \(0.387297\pi\)
\(632\) −5216.57 + 69610.3i −0.000519508 + 0.00693236i
\(633\) −788588. + 2.00929e6i −0.0782242 + 0.199312i
\(634\) −2.91246e6 1.27603e7i −0.287764 1.26078i
\(635\) 188807. + 2.51945e6i 0.0185816 + 0.247954i
\(636\) −1.27373e7 3.92892e6i −1.24863 0.385151i
\(637\) 2.77838e7 1.33800e7i 2.71296 1.30649i
\(638\) 348969. 604433.i 0.0339419 0.0587890i
\(639\) −667551. 1.15623e6i −0.0646743 0.112019i
\(640\) 463175. + 315788.i 0.0446988 + 0.0304751i
\(641\) 1.37042e6 6.00422e6i 0.131738 0.577180i −0.865367 0.501139i \(-0.832915\pi\)
0.997105 0.0760415i \(-0.0242282\pi\)
\(642\) −1.56912e6 236507.i −0.150251 0.0226468i
\(643\) 5.36129e6 + 6.72285e6i 0.511378 + 0.641248i 0.968753 0.248026i \(-0.0797818\pi\)
−0.457375 + 0.889274i \(0.651210\pi\)
\(644\) 3.29055e7 3.12646
\(645\) −438796. 1.10483e6i −0.0415302 0.104567i
\(646\) −394423. −0.0371861
\(647\) 897546. + 1.12549e6i 0.0842939 + 0.105701i 0.822190 0.569213i \(-0.192752\pi\)
−0.737896 + 0.674914i \(0.764181\pi\)
\(648\) −986218. 148649.i −0.0922647 0.0139067i
\(649\) 76589.9 335562.i 0.00713772 0.0312724i
\(650\) −1.40538e7 9.58169e6i −1.30469 0.889526i
\(651\) −6.86811e6 1.18959e7i −0.635162 1.10013i
\(652\) −1.47021e6 + 2.54647e6i −0.135444 + 0.234596i
\(653\) 5.76812e6 2.77778e6i 0.529360 0.254926i −0.150059 0.988677i \(-0.547946\pi\)
0.679419 + 0.733751i \(0.262232\pi\)
\(654\) −2.06558e7 6.37147e6i −1.88842 0.582499i
\(655\) −152180. 2.03071e6i −0.0138597 0.184945i
\(656\) 2.52301e6 + 1.10540e7i 0.228907 + 1.00291i
\(657\) 298279. 760002.i 0.0269593 0.0686912i
\(658\) 1.06942e6 1.42704e7i 0.0962906 1.28491i
\(659\) 1.97270e7 2.97337e6i 1.76949 0.266707i 0.818183 0.574958i \(-0.194982\pi\)
0.951305 + 0.308251i \(0.0997437\pi\)
\(660\) −66989.4 62157.1i −0.00598613 0.00555432i
\(661\) 1.21075e7 + 5.83066e6i 1.07783 + 0.519056i 0.886622 0.462494i \(-0.153045\pi\)
0.191208 + 0.981550i \(0.438760\pi\)
\(662\) −1.88464e7 + 1.28493e7i −1.67141 + 1.13955i
\(663\) 2.96929e6 + 7.56563e6i 0.262343 + 0.668438i
\(664\) 3.20209e6 987712.i 0.281847 0.0869381i
\(665\) −71108.7 + 65979.3i −0.00623546 + 0.00578567i
\(666\) −2.50513e6 + 3.14134e6i −0.218849 + 0.274428i
\(667\) −7.43185e6 + 9.31925e6i −0.646818 + 0.811085i
\(668\) −1.13220e7 + 1.05053e7i −0.981708 + 0.910892i
\(669\) −1.38704e7 + 4.27846e6i −1.19819 + 0.369592i
\(670\) 250628. + 638590.i 0.0215696 + 0.0549586i
\(671\) 110126. 75082.6i 0.00944242 0.00643774i
\(672\) 2.31172e7 + 1.11327e7i 1.97475 + 0.950990i
\(673\) −5.88470e6 5.46021e6i −0.500826 0.464699i 0.388843 0.921304i \(-0.372875\pi\)
−0.889669 + 0.456605i \(0.849065\pi\)
\(674\) −8.39056e6 + 1.26467e6i −0.711444 + 0.107233i
\(675\) −942237. + 1.25733e7i −0.0795977 + 1.06216i
\(676\) 1.07383e6 2.73607e6i 0.0903790 0.230282i
\(677\) −2.21809e6 9.71810e6i −0.185998 0.814910i −0.978699 0.205300i \(-0.934183\pi\)
0.792701 0.609610i \(-0.208674\pi\)
\(678\) −1.49625e6 1.99660e7i −0.125006 1.66808i
\(679\) −2.37615e7 7.32944e6i −1.97787 0.610093i
\(680\) 243684. 117352.i 0.0202094 0.00973235i
\(681\) −1.37925e6 + 2.38894e6i −0.113966 + 0.197395i
\(682\) 472964. + 819198.i 0.0389375 + 0.0674416i
\(683\) 6.03986e6 + 4.11790e6i 0.495421 + 0.337773i 0.785118 0.619346i \(-0.212602\pi\)
−0.289697 + 0.957118i \(0.593554\pi\)
\(684\) 35690.0 156368.i 0.00291680 0.0127793i
\(685\) 2.45595e6 + 370175.i 0.199983 + 0.0301426i
\(686\) −3.74249e7 4.69293e7i −3.03634 3.80745i
\(687\) −1.60349e7 −1.29621
\(688\) −6.62338e6 8.23666e6i −0.533469 0.663407i
\(689\) −2.00776e7 −1.61125
\(690\) 1.83313e6 + 2.29868e6i 0.146579 + 0.183804i
\(691\) 9.06730e6 + 1.36667e6i 0.722408 + 0.108886i 0.499947 0.866056i \(-0.333353\pi\)
0.222461 + 0.974942i \(0.428591\pi\)
\(692\) 1.34450e6 5.89062e6i 0.106732 0.467623i
\(693\) 483747. + 329813.i 0.0382636 + 0.0260876i
\(694\) −6.36228e6 1.10198e7i −0.501435 0.868510i
\(695\) −1.58799e6 + 2.75047e6i −0.124705 + 0.215996i
\(696\) 1.26718e6 610240.i 0.0991549 0.0477505i
\(697\) 1.21751e7 + 3.75552e6i 0.949272 + 0.292812i
\(698\) 954947. + 1.27429e7i 0.0741892 + 0.989987i
\(699\) −1.76245e6 7.72180e6i −0.136434 0.597758i
\(700\) −1.01373e7 + 2.58293e7i −0.781944 + 1.99236i
\(701\) 562284. 7.50315e6i 0.0432176 0.576698i −0.932996 0.359887i \(-0.882815\pi\)
0.976213 0.216811i \(-0.0695657\pi\)
\(702\) −2.26212e7 + 3.40960e6i −1.73250 + 0.261132i
\(703\) 191361. + 177557.i 0.0146038 + 0.0135503i
\(704\) −944945. 455061.i −0.0718579 0.0346050i
\(705\) 560805. 382351.i 0.0424951 0.0289727i
\(706\) 7.97765e6 + 2.03267e7i 0.602370 + 1.53481i
\(707\) 2.61271e7 8.05914e6i 1.96582 0.606374i
\(708\) 4.37693e6 4.06119e6i 0.328160 0.304488i
\(709\) 6.66196e6 8.35384e6i 0.497722 0.624124i −0.467992 0.883733i \(-0.655022\pi\)
0.965714 + 0.259609i \(0.0835938\pi\)
\(710\) 601424. 754162.i 0.0447749 0.0561460i
\(711\) 133858. 124202.i 0.00993045 0.00921411i
\(712\) 330228. 101862.i 0.0244126 0.00753028i
\(713\) −5.90211e6 1.50383e7i −0.434794 1.10784i
\(714\) 2.06366e7 1.40698e7i 1.51493 1.03286i
\(715\) −124017. 59723.4i −0.00907227 0.00436898i
\(716\) −971201. 901143.i −0.0707989 0.0656918i
\(717\) 1.63974e7 2.47151e6i 1.19118 0.179542i
\(718\) −1.60846e6 + 2.14634e7i −0.116439 + 1.55377i
\(719\) −198211. + 505033.i −0.0142990 + 0.0364333i −0.937845 0.347054i \(-0.887182\pi\)
0.923546 + 0.383488i \(0.125277\pi\)
\(720\) −140102. 613828.i −0.0100720 0.0441281i
\(721\) −1.67859e6 2.23993e7i −0.120256 1.60471i
\(722\) 1.95221e7 + 6.02176e6i 1.39374 + 0.429913i
\(723\) −9.29116e6 + 4.47439e6i −0.661035 + 0.318337i
\(724\) −1.03511e7 + 1.79286e7i −0.733906 + 1.27116i
\(725\) −5.02565e6 8.70468e6i −0.355097 0.615046i
\(726\) −1.34992e7 9.20358e6i −0.950530 0.648060i
\(727\) 6.19384e6 2.71370e7i 0.434635 1.90426i 0.00771216 0.999970i \(-0.497545\pi\)
0.426922 0.904288i \(-0.359598\pi\)
\(728\) −5.78296e6 871641.i −0.404410 0.0609550i
\(729\) 9.32222e6 + 1.16897e7i 0.649681 + 0.814674i
\(730\) 589877. 0.0409689
\(731\) −1.17372e7 + 1.81784e6i −0.812399 + 0.125823i
\(732\) 2.31216e6 0.159493
\(733\) 7.53982e6 + 9.45464e6i 0.518324 + 0.649958i 0.970252 0.242097i \(-0.0778351\pi\)
−0.451928 + 0.892054i \(0.649264\pi\)
\(734\) −4.49499e6 677510.i −0.307956 0.0464169i
\(735\) 1.00020e6 4.38214e6i 0.0682915 0.299204i
\(736\) 2.49329e7 + 1.69990e7i 1.69660 + 1.15672i
\(737\) −134506. 232972.i −0.00912166 0.0157992i
\(738\) −4.88018e6 + 8.45271e6i −0.329833 + 0.571288i
\(739\) −7.99416e6 + 3.84978e6i −0.538470 + 0.259313i −0.683293 0.730144i \(-0.739453\pi\)
0.144823 + 0.989458i \(0.453739\pi\)
\(740\) −1.47251e6 454211.i −0.0988508 0.0304914i
\(741\) 30228.9 + 403377.i 0.00202245 + 0.0269877i
\(742\) 1.37297e7 + 6.01538e7i 0.915487 + 4.01101i
\(743\) 510489. 1.30070e6i 0.0339245 0.0864383i −0.912908 0.408166i \(-0.866168\pi\)
0.946832 + 0.321728i \(0.104264\pi\)
\(744\) −142451. + 1.90087e6i −0.00943479 + 0.125898i
\(745\) −1.51747e6 + 228721.i −0.100168 + 0.0150979i
\(746\) 6.95638e6 + 6.45458e6i 0.457653 + 0.424640i
\(747\) −7.89764e6 3.80330e6i −0.517840 0.249379i
\(748\) −754374. + 514323.i −0.0492984 + 0.0336111i
\(749\) 1.42452e6 + 3.62962e6i 0.0927820 + 0.236405i
\(750\) −4.78708e6 + 1.47662e6i −0.310755 + 0.0958551i
\(751\) 1.61937e6 1.50255e6i 0.104772 0.0972143i −0.626048 0.779785i \(-0.715328\pi\)
0.730820 + 0.682571i \(0.239138\pi\)
\(752\) 3.76257e6 4.71812e6i 0.242628 0.304246i
\(753\) −1.09936e7 + 1.37855e7i −0.706566 + 0.886006i
\(754\) 1.33686e7 1.24042e7i 0.856362