Properties

Label 43.6.g.a.24.1
Level 43
Weight 6
Character 43.24
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 24.1
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-6.52161 + 8.17784i) q^{2} +(17.3296 - 2.61202i) q^{3} +(-17.2250 - 75.4676i) q^{4} +(2.46584 - 1.68118i) q^{5} +(-91.6562 + 158.753i) q^{6} +(94.8911 + 164.356i) q^{7} +(427.928 + 206.079i) q^{8} +(61.2883 - 18.9049i) q^{9} +O(q^{10})\) \(q+(-6.52161 + 8.17784i) q^{2} +(17.3296 - 2.61202i) q^{3} +(-17.2250 - 75.4676i) q^{4} +(2.46584 - 1.68118i) q^{5} +(-91.6562 + 158.753i) q^{6} +(94.8911 + 164.356i) q^{7} +(427.928 + 206.079i) q^{8} +(61.2883 - 18.9049i) q^{9} +(-2.33281 + 31.1292i) q^{10} +(-24.7212 + 108.311i) q^{11} +(-495.625 - 1262.83i) q^{12} +(58.7689 + 784.216i) q^{13} +(-1962.92 - 295.863i) q^{14} +(38.3407 - 35.5750i) q^{15} +(-2244.30 + 1080.80i) q^{16} +(-707.745 - 482.533i) q^{17} +(-245.097 + 624.496i) q^{18} +(1767.36 + 545.157i) q^{19} +(-169.348 - 157.132i) q^{20} +(2073.73 + 2600.37i) q^{21} +(-724.524 - 908.524i) q^{22} +(-1916.48 - 1778.23i) q^{23} +(7954.11 + 2453.52i) q^{24} +(-1138.44 + 2900.69i) q^{25} +(-6796.46 - 4633.75i) q^{26} +(-2824.20 + 1360.06i) q^{27} +(10769.1 - 9992.24i) q^{28} +(7555.17 + 1138.76i) q^{29} +(40.8833 + 545.550i) q^{30} +(1231.87 + 3138.76i) q^{31} +(2415.80 - 10584.3i) q^{32} +(-145.499 + 1941.55i) q^{33} +(8561.71 - 2640.94i) q^{34} +(510.298 + 245.747i) q^{35} +(-2482.40 - 4299.64i) q^{36} +(2712.48 - 4698.15i) q^{37} +(-15984.2 + 10897.8i) q^{38} +(3066.83 + 13436.6i) q^{39} +(1401.66 - 211.266i) q^{40} +(-10847.0 + 13601.7i) q^{41} -34789.4 q^{42} +(8592.92 - 8553.96i) q^{43} +8599.76 q^{44} +(119.344 - 149.653i) q^{45} +(27040.6 - 4075.71i) q^{46} +(-6317.94 - 27680.7i) q^{47} +(-36069.8 + 24592.0i) q^{48} +(-9605.15 + 16636.6i) q^{49} +(-16296.9 - 28227.1i) q^{50} +(-13525.3 - 6513.45i) q^{51} +(58170.6 - 17943.3i) q^{52} +(408.905 - 5456.46i) q^{53} +(7295.94 - 31965.6i) q^{54} +(121.131 + 308.637i) q^{55} +(6736.16 + 89887.8i) q^{56} +(32051.5 + 4830.99i) q^{57} +(-58584.5 + 54358.4i) q^{58} +(39529.8 - 19036.5i) q^{59} +(-3345.17 - 2280.70i) q^{60} +(9337.79 - 23792.3i) q^{61} +(-33702.0 - 10395.7i) q^{62} +(8922.86 + 8279.20i) q^{63} +(21102.4 + 26461.5i) q^{64} +(1463.32 + 1834.95i) q^{65} +(-14928.8 - 13851.9i) q^{66} +(38143.4 + 11765.7i) q^{67} +(-24224.7 + 61723.4i) q^{68} +(-37856.5 - 25810.1i) q^{69} +(-5337.64 + 2570.47i) q^{70} +(11649.5 - 10809.2i) q^{71} +(30122.9 + 4540.30i) q^{72} +(-1868.64 - 24935.3i) q^{73} +(20731.0 + 52821.7i) q^{74} +(-12152.0 + 53241.4i) q^{75} +(10699.0 - 142768. i) q^{76} +(-20147.3 + 6214.63i) q^{77} +(-129883. - 62548.5i) q^{78} +(-2020.04 - 3498.81i) q^{79} +(-3717.07 + 6438.15i) q^{80} +(-58267.0 + 39725.8i) q^{81} +(-40492.6 - 177410. i) q^{82} +(-7909.67 + 1192.19i) q^{83} +(160524. - 201291. i) q^{84} -2556.41 q^{85} +(13913.2 + 126057. i) q^{86} +133903. q^{87} +(-32899.5 + 41254.6i) q^{88} +(51728.4 - 7796.80i) q^{89} +(445.521 + 1951.96i) q^{90} +(-123314. + 84074.2i) q^{91} +(-101187. + 175262. i) q^{92} +(29546.3 + 51175.7i) q^{93} +(267572. + 128856. i) q^{94} +(5274.52 - 1626.97i) q^{95} +(14218.4 - 189732. i) q^{96} +(6410.50 - 28086.3i) q^{97} +(-73410.5 - 187047. i) q^{98} +(532.485 + 7105.52i) 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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{20}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −6.52161 + 8.17784i −1.15287 + 1.44565i −0.278468 + 0.960446i \(0.589827\pi\)
−0.874400 + 0.485205i \(0.838745\pi\)
\(3\) 17.3296 2.61202i 1.11169 0.167561i 0.432582 0.901595i \(-0.357603\pi\)
0.679113 + 0.734034i \(0.262365\pi\)
\(4\) −17.2250 75.4676i −0.538281 2.35836i
\(5\) 2.46584 1.68118i 0.0441102 0.0300738i −0.541064 0.840981i \(-0.681978\pi\)
0.585174 + 0.810907i \(0.301026\pi\)
\(6\) −91.6562 + 158.753i −1.03940 + 1.80030i
\(7\) 94.8911 + 164.356i 0.731949 + 1.26777i 0.956049 + 0.293206i \(0.0947222\pi\)
−0.224101 + 0.974566i \(0.571944\pi\)
\(8\) 427.928 + 206.079i 2.36399 + 1.13844i
\(9\) 61.2883 18.9049i 0.252215 0.0777981i
\(10\) −2.33281 + 31.1292i −0.00737699 + 0.0984392i
\(11\) −24.7212 + 108.311i −0.0616009 + 0.269891i −0.996344 0.0854333i \(-0.972773\pi\)
0.934743 + 0.355325i \(0.115630\pi\)
\(12\) −495.625 1262.83i −0.993573 2.53158i
\(13\) 58.7689 + 784.216i 0.0964470 + 1.28700i 0.810015 + 0.586410i \(0.199459\pi\)
−0.713567 + 0.700586i \(0.752922\pi\)
\(14\) −1962.92 295.863i −2.67660 0.403432i
\(15\) 38.3407 35.5750i 0.0439979 0.0408241i
\(16\) −2244.30 + 1080.80i −2.19170 + 1.05547i
\(17\) −707.745 482.533i −0.593957 0.404953i 0.228695 0.973498i \(-0.426554\pi\)
−0.822652 + 0.568545i \(0.807506\pi\)
\(18\) −245.097 + 624.496i −0.178302 + 0.454306i
\(19\) 1767.36 + 545.157i 1.12316 + 0.346448i 0.800061 0.599919i \(-0.204800\pi\)
0.323095 + 0.946367i \(0.395277\pi\)
\(20\) −169.348 157.132i −0.0946687 0.0878397i
\(21\) 2073.73 + 2600.37i 1.02613 + 1.28673i
\(22\) −724.524 908.524i −0.319151 0.400203i
\(23\) −1916.48 1778.23i −0.755412 0.700919i 0.205229 0.978714i \(-0.434206\pi\)
−0.960641 + 0.277794i \(0.910397\pi\)
\(24\) 7954.11 + 2453.52i 2.81880 + 0.869483i
\(25\) −1138.44 + 2900.69i −0.364300 + 0.928221i
\(26\) −6796.46 4633.75i −1.97174 1.34431i
\(27\) −2824.20 + 1360.06i −0.745565 + 0.359045i
\(28\) 10769.1 9992.24i 2.59587 2.40862i
\(29\) 7555.17 + 1138.76i 1.66821 + 0.251441i 0.914152 0.405372i \(-0.132858\pi\)
0.754053 + 0.656813i \(0.228096\pi\)
\(30\) 40.8833 + 545.550i 0.00829360 + 0.110670i
\(31\) 1231.87 + 3138.76i 0.230229 + 0.586615i 0.998572 0.0534238i \(-0.0170134\pi\)
−0.768342 + 0.640039i \(0.778918\pi\)
\(32\) 2415.80 10584.3i 0.417047 1.82720i
\(33\) −145.499 + 1941.55i −0.0232582 + 0.310359i
\(34\) 8561.71 2640.94i 1.27017 0.391797i
\(35\) 510.298 + 245.747i 0.0704132 + 0.0339092i
\(36\) −2482.40 4299.64i −0.319239 0.552938i
\(37\) 2712.48 4698.15i 0.325733 0.564187i −0.655927 0.754824i \(-0.727722\pi\)
0.981661 + 0.190637i \(0.0610555\pi\)
\(38\) −15984.2 + 10897.8i −1.79569 + 1.22428i
\(39\) 3066.83 + 13436.6i 0.322870 + 1.41459i
\(40\) 1401.66 211.266i 0.138513 0.0208775i
\(41\) −10847.0 + 13601.7i −1.00774 + 1.26367i −0.0433869 + 0.999058i \(0.513815\pi\)
−0.964355 + 0.264610i \(0.914757\pi\)
\(42\) −34789.4 −3.04316
\(43\) 8592.92 8553.96i 0.708712 0.705498i
\(44\) 8599.76 0.669660
\(45\) 119.344 149.653i 0.00878558 0.0110168i
\(46\) 27040.6 4075.71i 1.88417 0.283994i
\(47\) −6317.94 27680.7i −0.417187 1.82782i −0.548087 0.836421i \(-0.684644\pi\)
0.130900 0.991396i \(-0.458213\pi\)
\(48\) −36069.8 + 24592.0i −2.25965 + 1.54060i
\(49\) −9605.15 + 16636.6i −0.571497 + 0.989862i
\(50\) −16296.9 28227.1i −0.921893 1.59677i
\(51\) −13525.3 6513.45i −0.728153 0.350660i
\(52\) 58170.6 17943.3i 2.98329 0.920222i
\(53\) 408.905 5456.46i 0.0199955 0.266822i −0.978242 0.207469i \(-0.933477\pi\)
0.998237 0.0593526i \(-0.0189036\pi\)
\(54\) 7295.94 31965.6i 0.340484 1.49176i
\(55\) 121.131 + 308.637i 0.00539944 + 0.0137575i
\(56\) 6736.16 + 89887.8i 0.287040 + 3.83028i
\(57\) 32051.5 + 4830.99i 1.30666 + 0.196947i
\(58\) −58584.5 + 54358.4i −2.28672 + 2.12176i
\(59\) 39529.8 19036.5i 1.47841 0.711963i 0.491147 0.871077i \(-0.336578\pi\)
0.987260 + 0.159113i \(0.0508635\pi\)
\(60\) −3345.17 2280.70i −0.119961 0.0817881i
\(61\) 9337.79 23792.3i 0.321307 0.818676i −0.675390 0.737461i \(-0.736025\pi\)
0.996697 0.0812150i \(-0.0258800\pi\)
\(62\) −33702.0 10395.7i −1.11346 0.343458i
\(63\) 8922.86 + 8279.20i 0.283239 + 0.262807i
\(64\) 21102.4 + 26461.5i 0.643993 + 0.807542i
\(65\) 1463.32 + 1834.95i 0.0429592 + 0.0538692i
\(66\) −14928.8 13851.9i −0.421857 0.391426i
\(67\) 38143.4 + 11765.7i 1.03808 + 0.320206i 0.766524 0.642216i \(-0.221985\pi\)
0.271559 + 0.962422i \(0.412461\pi\)
\(68\) −24224.7 + 61723.4i −0.635310 + 1.61874i
\(69\) −37856.5 25810.1i −0.957234 0.652631i
\(70\) −5337.64 + 2570.47i −0.130198 + 0.0627000i
\(71\) 11649.5 10809.2i 0.274260 0.254476i −0.531036 0.847349i \(-0.678197\pi\)
0.805296 + 0.592873i \(0.202006\pi\)
\(72\) 30122.9 + 4540.30i 0.684803 + 0.103217i
\(73\) −1868.64 24935.3i −0.0410411 0.547656i −0.979392 0.201971i \(-0.935265\pi\)
0.938350 0.345685i \(-0.112354\pi\)
\(74\) 20731.0 + 52821.7i 0.440089 + 1.12133i
\(75\) −12152.0 + 53241.4i −0.249456 + 1.09294i
\(76\) 10699.0 142768.i 0.212476 2.83529i
\(77\) −20147.3 + 6214.63i −0.387249 + 0.119451i
\(78\) −129883. 62548.5i −2.41722 1.16407i
\(79\) −2020.04 3498.81i −0.0364160 0.0630744i 0.847243 0.531206i \(-0.178261\pi\)
−0.883659 + 0.468131i \(0.844927\pi\)
\(80\) −3717.07 + 6438.15i −0.0649345 + 0.112470i
\(81\) −58267.0 + 39725.8i −0.986757 + 0.672760i
\(82\) −40492.6 177410.i −0.665030 2.91369i
\(83\) −7909.67 + 1192.19i −0.126027 + 0.0189955i −0.211753 0.977323i \(-0.567917\pi\)
0.0857259 + 0.996319i \(0.472679\pi\)
\(84\) 160524. 201291.i 2.48223 3.11261i
\(85\) −2556.41 −0.0383780
\(86\) 13913.2 + 126057.i 0.202853 + 1.83790i
\(87\) 133903. 1.89667
\(88\) −32899.5 + 41254.6i −0.452879 + 0.567892i
\(89\) 51728.4 7796.80i 0.692236 0.104338i 0.206504 0.978446i \(-0.433791\pi\)
0.485732 + 0.874108i \(0.338553\pi\)
\(90\) 445.521 + 1951.96i 0.00579779 + 0.0254018i
\(91\) −123314. + 84074.2i −1.56102 + 1.06429i
\(92\) −101187. + 175262.i −1.24640 + 2.15883i
\(93\) 29546.3 + 51175.7i 0.354239 + 0.613559i
\(94\) 267572. + 128856.i 3.12335 + 1.50412i
\(95\) 5274.52 1626.97i 0.0599617 0.0184957i
\(96\) 14218.4 189732.i 0.157461 2.10117i
\(97\) 6410.50 28086.3i 0.0691772 0.303085i −0.928489 0.371359i \(-0.878892\pi\)
0.997667 + 0.0682738i \(0.0217491\pi\)
\(98\) −73410.5 187047.i −0.772134 1.96737i
\(99\) 532.485 + 7105.52i 0.00546034 + 0.0728631i
\(100\) 238518. + 35950.7i 2.38518 + 0.359507i
\(101\) −15526.9 + 14406.9i −0.151455 + 0.140529i −0.752261 0.658865i \(-0.771037\pi\)
0.600806 + 0.799395i \(0.294846\pi\)
\(102\) 141473. 68129.7i 1.34640 0.648390i
\(103\) −104880. 71505.7i −0.974087 0.664121i −0.0319993 0.999488i \(-0.510187\pi\)
−0.942088 + 0.335367i \(0.891140\pi\)
\(104\) −136462. + 347699.i −1.23717 + 3.15225i
\(105\) 9485.16 + 2925.78i 0.0839598 + 0.0258982i
\(106\) 41955.3 + 38928.8i 0.362679 + 0.336517i
\(107\) −47550.6 59626.5i −0.401510 0.503477i 0.539440 0.842024i \(-0.318636\pi\)
−0.940950 + 0.338547i \(0.890065\pi\)
\(108\) 151287. + 189708.i 1.24808 + 1.56505i
\(109\) −66290.9 61509.0i −0.534426 0.495875i 0.366160 0.930552i \(-0.380672\pi\)
−0.900587 + 0.434677i \(0.856863\pi\)
\(110\) −3313.95 1022.22i −0.0261134 0.00805493i
\(111\) 34734.5 88502.2i 0.267580 0.681783i
\(112\) −390601. 266307.i −2.94231 2.00603i
\(113\) 12254.3 5901.34i 0.0902799 0.0434765i −0.388199 0.921576i \(-0.626903\pi\)
0.478479 + 0.878099i \(0.341188\pi\)
\(114\) −248535. + 230606.i −1.79112 + 1.66192i
\(115\) −7715.23 1162.88i −0.0544007 0.00819959i
\(116\) −44198.3 589786.i −0.304973 4.06958i
\(117\) 18427.4 + 46952.2i 0.124451 + 0.317097i
\(118\) −102120. + 447417.i −0.675158 + 2.95806i
\(119\) 12148.5 162110.i 0.0786421 1.04941i
\(120\) 23738.3 7322.31i 0.150486 0.0464189i
\(121\) 133982. + 64522.3i 0.831922 + 0.400633i
\(122\) 133672. + 231527.i 0.813095 + 1.40832i
\(123\) −152446. + 264044.i −0.908560 + 1.57367i
\(124\) 215655. 147031.i 1.25952 0.858728i
\(125\) 4144.67 + 18159.0i 0.0237255 + 0.103948i
\(126\) −125897. + 18976.0i −0.706464 + 0.106482i
\(127\) −123176. + 154458.i −0.677670 + 0.849772i −0.995137 0.0984977i \(-0.968596\pi\)
0.317467 + 0.948269i \(0.397168\pi\)
\(128\) −6611.79 −0.0356692
\(129\) 126569. 170682.i 0.669657 0.903051i
\(130\) −24549.1 −0.127402
\(131\) −36926.6 + 46304.5i −0.188001 + 0.235746i −0.866895 0.498490i \(-0.833888\pi\)
0.678894 + 0.734236i \(0.262459\pi\)
\(132\) 149030. 22462.7i 0.744457 0.112209i
\(133\) 78106.4 + 342207.i 0.382876 + 1.67749i
\(134\) −344974. + 235199.i −1.65968 + 1.13155i
\(135\) −4677.50 + 8101.67i −0.0220892 + 0.0382596i
\(136\) −203424. 352341.i −0.943095 1.63349i
\(137\) −271176. 130592.i −1.23438 0.594448i −0.301102 0.953592i \(-0.597354\pi\)
−0.933282 + 0.359144i \(0.883069\pi\)
\(138\) 457956. 141261.i 2.04704 0.631428i
\(139\) 10800.2 144118.i 0.0474126 0.632678i −0.921992 0.387209i \(-0.873439\pi\)
0.969405 0.245468i \(-0.0789418\pi\)
\(140\) 9756.03 42744.0i 0.0420681 0.184312i
\(141\) −181790. 463193.i −0.770056 1.96207i
\(142\) 12422.1 + 165761.i 0.0516980 + 0.689862i
\(143\) −86391.7 13021.4i −0.353290 0.0532500i
\(144\) −117117. + 108669.i −0.470667 + 0.436715i
\(145\) 20544.3 9893.60i 0.0811467 0.0390782i
\(146\) 216104. + 147337.i 0.839035 + 0.572044i
\(147\) −122998. + 313395.i −0.469468 + 1.19619i
\(148\) −401281. 123779.i −1.50589 0.464506i
\(149\) −72160.6 66955.3i −0.266278 0.247069i 0.535722 0.844395i \(-0.320040\pi\)
−0.801999 + 0.597325i \(0.796230\pi\)
\(150\) −356149. 446597.i −1.29242 1.62064i
\(151\) 262357. + 328985.i 0.936375 + 1.17418i 0.984509 + 0.175336i \(0.0561013\pi\)
−0.0481334 + 0.998841i \(0.515327\pi\)
\(152\) 643956. + 597504.i 2.26072 + 2.09764i
\(153\) −52498.8 16193.7i −0.181309 0.0559266i
\(154\) 80570.8 205291.i 0.273764 0.697538i
\(155\) 8314.40 + 5668.66i 0.0277972 + 0.0189518i
\(156\) 961205. 462892.i 3.16231 1.52289i
\(157\) 239406. 222136.i 0.775150 0.719234i −0.189756 0.981831i \(-0.560770\pi\)
0.964905 + 0.262597i \(0.0845791\pi\)
\(158\) 41786.6 + 6298.32i 0.133166 + 0.0200716i
\(159\) −7166.20 95626.3i −0.0224800 0.299975i
\(160\) −11837.1 30160.5i −0.0365550 0.0931406i
\(161\) 110407. 483723.i 0.335684 1.47073i
\(162\) 55123.7 735574.i 0.165025 2.20211i
\(163\) 215568. 66494.0i 0.635500 0.196026i 0.0397679 0.999209i \(-0.487338\pi\)
0.595732 + 0.803183i \(0.296862\pi\)
\(164\) 1.21333e6 + 584307.i 3.52264 + 1.69641i
\(165\) 2905.32 + 5032.16i 0.00830775 + 0.0143894i
\(166\) 41834.2 72458.9i 0.117831 0.204090i
\(167\) −324332. + 221126.i −0.899909 + 0.613547i −0.922415 0.386199i \(-0.873788\pi\)
0.0225066 + 0.999747i \(0.492835\pi\)
\(168\) 351524. + 1.54013e6i 0.960907 + 4.21001i
\(169\) −244395. + 36836.6i −0.658227 + 0.0992117i
\(170\) 16671.9 20905.9i 0.0442448 0.0554812i
\(171\) 118624. 0.310230
\(172\) −793559. 501145.i −2.04531 1.29164i
\(173\) 323279. 0.821226 0.410613 0.911810i \(-0.365315\pi\)
0.410613 + 0.911810i \(0.365315\pi\)
\(174\) −873260. + 1.09503e6i −2.18661 + 2.74192i
\(175\) −584774. + 88140.5i −1.44342 + 0.217561i
\(176\) −61580.2 269800.i −0.149851 0.656539i
\(177\) 635311. 433148.i 1.52424 1.03921i
\(178\) −273591. + 473874.i −0.647220 + 1.12102i
\(179\) 69420.6 + 120240.i 0.161941 + 0.280490i 0.935565 0.353155i \(-0.114891\pi\)
−0.773624 + 0.633645i \(0.781558\pi\)
\(180\) −13349.7 6428.86i −0.0307106 0.0147895i
\(181\) 492953. 152056.i 1.11843 0.344990i 0.320205 0.947348i \(-0.396248\pi\)
0.798226 + 0.602358i \(0.205772\pi\)
\(182\) 116662. 1.55674e6i 0.261066 3.48368i
\(183\) 99674.3 436702.i 0.220017 0.963956i
\(184\) −453658. 1.15590e6i −0.987833 2.51696i
\(185\) −1209.90 16145.0i −0.00259909 0.0346825i
\(186\) −611196. 92123.0i −1.29538 0.195248i
\(187\) 69759.6 64727.5i 0.145882 0.135358i
\(188\) −1.98017e6 + 953600.i −4.08609 + 1.96776i
\(189\) −491526. 335117.i −1.00090 0.682404i
\(190\) −21093.2 + 53744.6i −0.0423895 + 0.108007i
\(191\) −305967. 94378.4i −0.606864 0.187193i −0.0239319 0.999714i \(-0.507618\pi\)
−0.582932 + 0.812521i \(0.698095\pi\)
\(192\) 434814. + 403448.i 0.851236 + 0.789832i
\(193\) −368373. 461925.i −0.711860 0.892644i 0.285987 0.958234i \(-0.407679\pi\)
−0.997847 + 0.0655892i \(0.979107\pi\)
\(194\) 187878. + 235592.i 0.358403 + 0.449423i
\(195\) 30151.7 + 27976.7i 0.0567839 + 0.0526878i
\(196\) 1.42097e6 + 438312.i 2.64208 + 0.814974i
\(197\) −12713.4 + 32393.2i −0.0233398 + 0.0594688i −0.942069 0.335420i \(-0.891122\pi\)
0.918729 + 0.394889i \(0.129217\pi\)
\(198\) −61580.4 41984.8i −0.111630 0.0761078i
\(199\) −738165. + 355481.i −1.32136 + 0.636333i −0.955680 0.294408i \(-0.904877\pi\)
−0.365679 + 0.930741i \(0.619163\pi\)
\(200\) −1.08494e6 + 1.00668e6i −1.91792 + 1.77957i
\(201\) 691741. + 104263.i 1.20768 + 0.182029i
\(202\) −16556.6 220933.i −0.0285492 0.380962i
\(203\) 529757. + 1.34980e6i 0.902270 + 2.29895i
\(204\) −258581. + 1.13292e6i −0.435032 + 1.90600i
\(205\) −3880.02 + 51775.3i −0.00644836 + 0.0860474i
\(206\) 1.26874e6 391356.i 2.08308 0.642546i
\(207\) −151075. 72753.8i −0.245056 0.118013i
\(208\) −979475. 1.69650e6i −1.56977 2.71892i
\(209\) −102737. + 177946.i −0.162691 + 0.281789i
\(210\) −85785.1 + 58487.3i −0.134234 + 0.0915194i
\(211\) 230560. + 1.01015e6i 0.356516 + 1.56200i 0.761803 + 0.647808i \(0.224314\pi\)
−0.405288 + 0.914189i \(0.632829\pi\)
\(212\) −418829. + 63128.3i −0.640025 + 0.0964683i
\(213\) 173648. 217748.i 0.262253 0.328855i
\(214\) 797722. 1.19074
\(215\) 6808.00 35538.9i 0.0100444 0.0524334i
\(216\) −1.48883e6 −2.17126
\(217\) −398981. + 500306.i −0.575178 + 0.721251i
\(218\) 935333. 140979.i 1.33298 0.200915i
\(219\) −97514.4 427238.i −0.137391 0.601949i
\(220\) 21205.6 14457.7i 0.0295389 0.0201392i
\(221\) 336816. 583383.i 0.463887 0.803476i
\(222\) 497231. + 861230.i 0.677136 + 1.17283i
\(223\) 1.05998e6 + 510459.i 1.42737 + 0.687383i 0.978506 0.206219i \(-0.0661161\pi\)
0.448860 + 0.893602i \(0.351830\pi\)
\(224\) 1.96883e6 607304.i 2.62173 0.808698i
\(225\) −14935.5 + 199300.i −0.0196681 + 0.262453i
\(226\) −31657.3 + 138700.i −0.0412290 + 0.180636i
\(227\) 265388. + 676197.i 0.341835 + 0.870981i 0.993641 + 0.112595i \(0.0359163\pi\)
−0.651806 + 0.758385i \(0.725988\pi\)
\(228\) −187504. 2.50207e6i −0.238876 3.18758i
\(229\) −339093. 51110.0i −0.427297 0.0644046i −0.0681266 0.997677i \(-0.521702\pi\)
−0.359170 + 0.933272i \(0.616940\pi\)
\(230\) 59825.6 55510.1i 0.0745706 0.0691914i
\(231\) −332913. + 160322.i −0.410488 + 0.197680i
\(232\) 2.99840e6 + 2.04427e6i 3.65737 + 2.49356i
\(233\) 403289. 1.02756e6i 0.486661 1.23999i −0.451026 0.892511i \(-0.648942\pi\)
0.937687 0.347481i \(-0.112963\pi\)
\(234\) −504144. 155508.i −0.601887 0.185658i
\(235\) −62115.2 57634.5i −0.0733717 0.0680790i
\(236\) −2.11754e6 2.65531e6i −2.47487 3.10338i
\(237\) −44145.4 55356.6i −0.0510523 0.0640175i
\(238\) 1.24648e6 + 1.15657e6i 1.42641 + 1.32352i
\(239\) −418788. 129179.i −0.474241 0.146284i 0.0484156 0.998827i \(-0.484583\pi\)
−0.522657 + 0.852543i \(0.675059\pi\)
\(240\) −47598.7 + 121280.i −0.0533418 + 0.135913i
\(241\) 303583. + 206979.i 0.336693 + 0.229554i 0.719850 0.694130i \(-0.244211\pi\)
−0.383157 + 0.923683i \(0.625163\pi\)
\(242\) −1.40143e6 + 674893.i −1.53827 + 0.740793i
\(243\) −347605. + 322530.i −0.377633 + 0.350392i
\(244\) −1.95639e6 294878.i −2.10369 0.317080i
\(245\) 4284.39 + 57171.2i 0.00456009 + 0.0608502i
\(246\) −1.16512e6 2.96867e6i −1.22753 3.12770i
\(247\) −323655. + 1.41803e6i −0.337552 + 1.47891i
\(248\) −119681. + 1.59703e6i −0.123565 + 1.64886i
\(249\) −133957. + 41320.4i −0.136920 + 0.0422343i
\(250\) −175531. 84531.4i −0.177625 0.0855397i
\(251\) −351734. 609220.i −0.352395 0.610366i 0.634274 0.773109i \(-0.281299\pi\)
−0.986669 + 0.162743i \(0.947966\pi\)
\(252\) 471115. 815996.i 0.467333 0.809444i
\(253\) 239978. 163615.i 0.235706 0.160702i
\(254\) −459827. 2.01463e6i −0.447209 1.95935i
\(255\) −44301.5 + 6677.38i −0.0426647 + 0.00643066i
\(256\) −632156. + 792699.i −0.602871 + 0.755977i
\(257\) 1.08931e6 1.02877 0.514385 0.857559i \(-0.328020\pi\)
0.514385 + 0.857559i \(0.328020\pi\)
\(258\) 570374. + 2.14818e6i 0.533470 + 2.00919i
\(259\) 1.02956e6 0.953680
\(260\) 113273. 142040.i 0.103919 0.130310i
\(261\) 484572. 73037.5i 0.440308 0.0663658i
\(262\) −137850. 603959.i −0.124066 0.543568i
\(263\) 593865. 404890.i 0.529417 0.360951i −0.268919 0.963163i \(-0.586666\pi\)
0.798336 + 0.602212i \(0.205714\pi\)
\(264\) −462377. + 800860.i −0.408306 + 0.707207i
\(265\) −8164.99 14142.2i −0.00714235 0.0123709i
\(266\) −3.30789e6 1.59300e6i −2.86647 1.38042i
\(267\) 876067. 270231.i 0.752072 0.231983i
\(268\) 230908. 3.08125e6i 0.196382 2.62054i
\(269\) −389873. + 1.70815e6i −0.328506 + 1.43928i 0.493474 + 0.869760i \(0.335727\pi\)
−0.821980 + 0.569517i \(0.807130\pi\)
\(270\) −35749.3 91087.8i −0.0298441 0.0760415i
\(271\) 44007.8 + 587243.i 0.0364004 + 0.485730i 0.985378 + 0.170385i \(0.0545011\pi\)
−0.948977 + 0.315345i \(0.897880\pi\)
\(272\) 2.10992e6 + 318019.i 1.72919 + 0.260634i
\(273\) −1.91738e6 + 1.77907e6i −1.55705 + 1.44473i
\(274\) 2.83646e6 1.36597e6i 2.28245 1.09917i
\(275\) −286032. 195013.i −0.228077 0.155501i
\(276\) −1.29575e6 + 3.30152e6i −1.02388 + 2.60880i
\(277\) 458377. + 141390.i 0.358941 + 0.110719i 0.468980 0.883209i \(-0.344622\pi\)
−0.110039 + 0.993927i \(0.535098\pi\)
\(278\) 1.10814e6 + 1.02821e6i 0.859970 + 0.797936i
\(279\) 134837. + 169081.i 0.103705 + 0.130042i
\(280\) 167728. + 210324.i 0.127853 + 0.160322i
\(281\) 1.30067e6 + 1.20685e6i 0.982656 + 0.911772i 0.996108 0.0881376i \(-0.0280915\pi\)
−0.0134519 + 0.999910i \(0.504282\pi\)
\(282\) 4.97348e6 + 1.53412e6i 3.72424 + 1.14878i
\(283\) 622297. 1.58559e6i 0.461883 1.17686i −0.490361 0.871519i \(-0.663135\pi\)
0.952244 0.305339i \(-0.0987696\pi\)
\(284\) −1.01641e6 692974.i −0.747776 0.509825i
\(285\) 87155.6 41971.9i 0.0635599 0.0306088i
\(286\) 669900. 621576.i 0.484278 0.449344i
\(287\) −3.26481e6 492090.i −2.33966 0.352647i
\(288\) −52035.4 694364.i −0.0369673 0.493294i
\(289\) −250666. 638687.i −0.176543 0.449825i
\(290\) −53073.4 + 232530.i −0.0370580 + 0.162362i
\(291\) 37729.7 503468.i 0.0261187 0.348529i
\(292\) −1.84962e6 + 570533.i −1.26948 + 0.391583i
\(293\) −1.45130e6 698909.i −0.987616 0.475611i −0.130898 0.991396i \(-0.541786\pi\)
−0.856718 + 0.515785i \(0.827500\pi\)
\(294\) −1.76074e6 3.04970e6i −1.18803 2.05773i
\(295\) 65470.1 113398.i 0.0438014 0.0758662i
\(296\) 2.12894e6 1.45149e6i 1.41232 0.962906i
\(297\) −77491.5 339513.i −0.0509757 0.223339i
\(298\) 1.01815e6 153462.i 0.664159 0.100106i
\(299\) 1.28189e6 1.60743e6i 0.829224 1.03981i
\(300\) 4.22732e6 2.71183
\(301\) 2.22129e6 + 600605.i 1.41315 + 0.382096i
\(302\) −4.40137e6 −2.77697
\(303\) −231445. + 290222.i −0.144824 + 0.181604i
\(304\) −4.55569e6 + 686660.i −2.82729 + 0.426145i
\(305\) −16973.6 74366.4i −0.0104478 0.0457749i
\(306\) 474806. 323717.i 0.289876 0.197634i
\(307\) −372438. + 645082.i −0.225532 + 0.390633i −0.956479 0.291801i \(-0.905745\pi\)
0.730947 + 0.682434i \(0.239079\pi\)
\(308\) 816041. + 1.41342e6i 0.490157 + 0.848976i
\(309\) −2.00429e6 965218.i −1.19417 0.575081i
\(310\) −100581. + 31025.0i −0.0594443 + 0.0183361i
\(311\) 79268.2 1.05776e6i 0.0464727 0.620135i −0.924537 0.381093i \(-0.875548\pi\)
0.971009 0.239042i \(-0.0768333\pi\)
\(312\) −1.45663e6 + 6.38193e6i −0.847157 + 3.71164i
\(313\) 552901. + 1.40877e6i 0.318997 + 0.812791i 0.996976 + 0.0777096i \(0.0247607\pi\)
−0.677979 + 0.735081i \(0.737144\pi\)
\(314\) 255282. + 3.40651e6i 0.146116 + 1.94978i
\(315\) 35921.1 + 5414.24i 0.0203973 + 0.00307441i
\(316\) −229252. + 212714.i −0.129150 + 0.119834i
\(317\) 806168. 388230.i 0.450585 0.216991i −0.194807 0.980842i \(-0.562408\pi\)
0.645393 + 0.763851i \(0.276694\pi\)
\(318\) 828752. + 565033.i 0.459575 + 0.313333i
\(319\) −310112. + 790153.i −0.170625 + 0.434745i
\(320\) 96521.5 + 29773.0i 0.0526926 + 0.0162535i
\(321\) −979778. 909101.i −0.530719 0.492436i
\(322\) 3.23578e6 + 4.05754e6i 1.73916 + 2.18084i
\(323\) −987782. 1.23864e6i −0.526811 0.660600i
\(324\) 4.00166e6 + 3.71300e6i 2.11776 + 1.96500i
\(325\) −2.34167e6 722310.i −1.22975 0.379328i
\(326\) −862074. + 2.19653e6i −0.449263 + 1.14470i
\(327\) −1.30946e6 892773.i −0.677208 0.461712i
\(328\) −7.44476e6 + 3.58521e6i −3.82090 + 1.84005i
\(329\) 3.94998e6 3.66505e6i 2.01190 1.86677i
\(330\) −60099.5 9058.54i −0.0303799 0.00457903i
\(331\) 119650. + 1.59661e6i 0.0600263 + 0.800995i 0.943258 + 0.332059i \(0.107743\pi\)
−0.883232 + 0.468936i \(0.844637\pi\)
\(332\) 226216. + 576388.i 0.112636 + 0.286992i
\(333\) 77425.0 339221.i 0.0382623 0.167638i
\(334\) 306835. 4.09443e6i 0.150501 2.00829i
\(335\) 113835. 35113.6i 0.0554199 0.0170948i
\(336\) −7.46455e6 3.59474e6i −3.60708 1.73708i
\(337\) −1.96898e6 3.41038e6i −0.944424 1.63579i −0.756900 0.653531i \(-0.773287\pi\)
−0.187524 0.982260i \(-0.560046\pi\)
\(338\) 1.29260e6 2.23886e6i 0.615423 1.06594i
\(339\) 196947. 134276.i 0.0930787 0.0634600i
\(340\) 44034.1 + 192926.i 0.0206582 + 0.0905093i
\(341\) −370414. + 55830.9i −0.172505 + 0.0260009i
\(342\) −773622. + 970091.i −0.357654 + 0.448484i
\(343\) −456105. −0.209329
\(344\) 5.43995e6 1.88966e6i 2.47856 0.860968i
\(345\) −136739. −0.0618509
\(346\) −2.10830e6 + 2.64373e6i −0.946766 + 1.18721i
\(347\) 2.37509e6 357988.i 1.05891 0.159604i 0.403575 0.914947i \(-0.367768\pi\)
0.655330 + 0.755342i \(0.272529\pi\)
\(348\) −2.30647e6 1.01053e7i −1.02094 4.47303i
\(349\) −416762. + 284144.i −0.183158 + 0.124875i −0.651428 0.758711i \(-0.725830\pi\)
0.468270 + 0.883585i \(0.344877\pi\)
\(350\) 3.09287e6 5.35700e6i 1.34956 2.33750i
\(351\) −1.23256e6 2.13485e6i −0.533998 0.924911i
\(352\) 1.08667e6 + 523312.i 0.467456 + 0.225115i
\(353\) −1.90079e6 + 586315.i −0.811889 + 0.250435i −0.672780 0.739843i \(-0.734900\pi\)
−0.139109 + 0.990277i \(0.544424\pi\)
\(354\) −601038. + 8.02029e6i −0.254914 + 3.40159i
\(355\) 10553.7 46238.6i 0.00444460 0.0194731i
\(356\) −1.47943e6 3.76952e6i −0.618683 1.57638i
\(357\) −212907. 2.84104e6i −0.0884135 1.17980i
\(358\) −1.43604e6 216448.i −0.592186 0.0892577i
\(359\) −424221. + 393619.i −0.173722 + 0.161191i −0.762242 0.647292i \(-0.775901\pi\)
0.588520 + 0.808483i \(0.299711\pi\)
\(360\) 81911.2 39446.4i 0.0333110 0.0160417i
\(361\) 780503. + 532138.i 0.315215 + 0.214910i
\(362\) −1.97136e6 + 5.02294e6i −0.790668 + 2.01459i
\(363\) 2.49039e6 + 768182.i 0.991974 + 0.305983i
\(364\) 8.46896e6 + 7.85805e6i 3.35025 + 3.10857i
\(365\) −46528.5 58344.9i −0.0182805 0.0229230i
\(366\) 2.92124e6 + 3.66312e6i 1.13989 + 1.42938i
\(367\) −3.04214e6 2.82269e6i −1.17900 1.09395i −0.993792 0.111253i \(-0.964514\pi\)
−0.185208 0.982699i \(-0.559296\pi\)
\(368\) 6.22306e6 + 1.91956e6i 2.39544 + 0.738894i
\(369\) −407654. + 1.03869e6i −0.155857 + 0.397117i
\(370\) 139922. + 95397.2i 0.0531351 + 0.0362269i
\(371\) 935605. 450563.i 0.352905 0.169950i
\(372\) 3.35317e6 3.11129e6i 1.25632 1.16569i
\(373\) −4.67865e6 705193.i −1.74120 0.262443i −0.799928 0.600096i \(-0.795129\pi\)
−0.941271 + 0.337652i \(0.890367\pi\)
\(374\) 74385.9 + 992610.i 0.0274987 + 0.366944i
\(375\) 119257. + 303862.i 0.0437932 + 0.111583i
\(376\) 3.00080e6 1.31474e7i 1.09463 4.79589i
\(377\) −449024. + 5.99181e6i −0.162711 + 2.17122i
\(378\) 5.94607e6 1.83412e6i 2.14043 0.660234i
\(379\) 2.92928e6 + 1.41067e6i 1.04752 + 0.504460i 0.876798 0.480859i \(-0.159675\pi\)
0.170724 + 0.985319i \(0.445389\pi\)
\(380\) −213637. 370031.i −0.0758958 0.131455i
\(381\) −1.73115e6 + 2.99844e6i −0.610974 + 1.05824i
\(382\) 2.76721e6 1.88665e6i 0.970250 0.661505i
\(383\) 493424. + 2.16183e6i 0.171879 + 0.753052i 0.985224 + 0.171270i \(0.0547871\pi\)
−0.813345 + 0.581782i \(0.802356\pi\)
\(384\) −114580. + 17270.1i −0.0396533 + 0.00597677i
\(385\) −39232.1 + 49195.5i −0.0134893 + 0.0169151i
\(386\) 6.17994e6 2.11113
\(387\) 364933. 686706.i 0.123861 0.233074i
\(388\) −2.23002e6 −0.752021
\(389\) −452853. + 567859.i −0.151734 + 0.190268i −0.851889 0.523723i \(-0.824543\pi\)
0.700155 + 0.713991i \(0.253114\pi\)
\(390\) −425426. + 64122.7i −0.141632 + 0.0213477i
\(391\) 498323. + 2.18330e6i 0.164842 + 0.722222i
\(392\) −7.53878e6 + 5.13985e6i −2.47791 + 1.68941i
\(393\) −518975. + 898891.i −0.169498 + 0.293579i
\(394\) −181995. 315224.i −0.0590634 0.102301i
\(395\) −10863.2 5231.45i −0.00350321 0.00168705i
\(396\) 527064. 162578.i 0.168898 0.0520983i
\(397\) 194266. 2.59230e6i 0.0618615 0.825484i −0.876846 0.480771i \(-0.840357\pi\)
0.938708 0.344714i \(-0.112024\pi\)
\(398\) 1.90695e6 8.35490e6i 0.603437 2.64383i
\(399\) 2.24740e6 + 5.72629e6i 0.706722 + 1.80070i
\(400\) −580066. 7.74045e6i −0.181271 2.41889i
\(401\) 3.66008e6 + 551668.i 1.13666 + 0.171323i 0.690294 0.723529i \(-0.257481\pi\)
0.446362 + 0.894852i \(0.352719\pi\)
\(402\) −5.36391e6 + 4.97698e6i −1.65545 + 1.53604i
\(403\) −2.38907e6 + 1.15051e6i −0.732767 + 0.352882i
\(404\) 1.35470e6 + 923622.i 0.412944 + 0.281540i
\(405\) −76890.8 + 195915.i −0.0232936 + 0.0593512i
\(406\) −1.44933e7 4.47059e6i −4.36367 1.34601i
\(407\) 441804. + 409934.i 0.132204 + 0.122667i
\(408\) −4.44558e6 5.57458e6i −1.32214 1.65791i
\(409\) 581377. + 729024.i 0.171850 + 0.215493i 0.860297 0.509794i \(-0.170278\pi\)
−0.688446 + 0.725287i \(0.741707\pi\)
\(410\) −398106. 369388.i −0.116960 0.108523i
\(411\) −5.04049e6 1.55478e6i −1.47186 0.454010i
\(412\) −3.58981e6 + 9.14669e6i −1.04191 + 2.65473i
\(413\) 6.87980e6 + 4.69057e6i 1.98473 + 1.35316i
\(414\) 1.58022e6 760993.i 0.453123 0.218213i
\(415\) −17499.7 + 16237.3i −0.00498780 + 0.00462800i
\(416\) 8.44235e6 + 1.27248e6i 2.39183 + 0.360510i
\(417\) −189277. 2.52572e6i −0.0533037 0.711289i
\(418\) −785203. 2.00067e6i −0.219807 0.560059i
\(419\) −259338. + 1.13623e6i −0.0721657 + 0.316179i −0.998108 0.0614867i \(-0.980416\pi\)
0.925942 + 0.377665i \(0.123273\pi\)
\(420\) 57420.2 766219.i 0.0158833 0.211948i
\(421\) −1.50274e6 + 463533.i −0.413216 + 0.127460i −0.494391 0.869240i \(-0.664609\pi\)
0.0811750 + 0.996700i \(0.474133\pi\)
\(422\) −9.76448e6 4.70233e6i −2.66912 1.28538i
\(423\) −910518. 1.57706e6i −0.247422 0.428547i
\(424\) 1.29945e6 2.25071e6i 0.351029 0.608001i
\(425\) 2.20540e6 1.50362e6i 0.592264 0.403799i
\(426\) 648241. + 2.84013e6i 0.173066 + 0.758253i
\(427\) 4.79649e6 722954.i 1.27307 0.191885i
\(428\) −3.68081e6 + 4.61559e6i −0.971257 + 1.21792i
\(429\) −1.53115e6 −0.401674
\(430\) 246232. + 287445.i 0.0642205 + 0.0749694i
\(431\) −2.62682e6 −0.681140 −0.340570 0.940219i \(-0.610620\pi\)
−0.340570 + 0.940219i \(0.610620\pi\)
\(432\) 4.86840e6 6.10478e6i 1.25510 1.57384i
\(433\) 3.65679e6 551173.i 0.937304 0.141276i 0.337412 0.941357i \(-0.390448\pi\)
0.599892 + 0.800081i \(0.295210\pi\)
\(434\) −1.48942e6 6.52559e6i −0.379572 1.66301i
\(435\) 330182. 225114.i 0.0836624 0.0570400i
\(436\) −3.50007e6 + 6.06230e6i −0.881781 + 1.52729i
\(437\) −2.41768e6 4.18754e6i −0.605613 1.04895i
\(438\) 4.12984e6 + 1.98882e6i 1.02860 + 0.495349i
\(439\) 3.12011e6 962426.i 0.772695 0.238345i 0.116758 0.993160i \(-0.462750\pi\)
0.655937 + 0.754815i \(0.272274\pi\)
\(440\) −11768.3 + 157037.i −0.00289789 + 0.0386697i
\(441\) −274169. + 1.20121e6i −0.0671309 + 0.294120i
\(442\) 2.57423e6 + 6.55902e6i 0.626746 + 1.59692i
\(443\) 366616. + 4.89215e6i 0.0887569 + 1.18438i 0.846705 + 0.532063i \(0.178583\pi\)
−0.757948 + 0.652315i \(0.773798\pi\)
\(444\) −7.27735e6 1.09688e6i −1.75193 0.264060i
\(445\) 114446. 106190.i 0.0273968 0.0254205i
\(446\) −1.10872e7 + 5.33932e6i −2.63928 + 1.27101i
\(447\) −1.42540e6 971823.i −0.337418 0.230048i
\(448\) −2.34669e6 + 5.97927e6i −0.552409 + 1.40752i
\(449\) −889661. 274424.i −0.208261 0.0642401i 0.188869 0.982002i \(-0.439518\pi\)
−0.397131 + 0.917762i \(0.629994\pi\)
\(450\) −1.53244e6 1.42190e6i −0.356741 0.331007i
\(451\) −1.20506e6 1.51109e6i −0.278975 0.349824i
\(452\) −656440. 823149.i −0.151129 0.189510i
\(453\) 5.40585e6 + 5.01590e6i 1.23771 + 1.14843i
\(454\) −7.26058e6 2.23959e6i −1.65322 0.509952i
\(455\) −162729. + 414626.i −0.0368499 + 0.0938919i
\(456\) 1.27202e7 + 8.67248e6i 2.86472 + 1.95313i
\(457\) −2.72075e6 + 1.31024e6i −0.609394 + 0.293468i −0.713015 0.701148i \(-0.752671\pi\)
0.103622 + 0.994617i \(0.466957\pi\)
\(458\) 2.62940e6 2.43973e6i 0.585724 0.543472i
\(459\) 2.65509e6 + 400190.i 0.588230 + 0.0886614i
\(460\) 45134.7 + 602281.i 0.00994526 + 0.132710i
\(461\) −762659. 1.94322e6i −0.167139 0.425864i 0.822624 0.568586i \(-0.192509\pi\)
−0.989763 + 0.142723i \(0.954414\pi\)
\(462\) 860036. 3.76806e6i 0.187461 0.821322i
\(463\) 613003. 8.17996e6i 0.132896 1.77337i −0.389849 0.920879i \(-0.627473\pi\)
0.522745 0.852489i \(-0.324908\pi\)
\(464\) −1.81869e7 + 5.60991e6i −3.92160 + 1.20965i
\(465\) 158892. + 76518.3i 0.0340776 + 0.0164109i
\(466\) 5.77315e6 + 9.99940e6i 1.23154 + 2.13309i
\(467\) −1.17333e6 + 2.03227e6i −0.248960 + 0.431211i −0.963237 0.268652i \(-0.913422\pi\)
0.714278 + 0.699862i \(0.246755\pi\)
\(468\) 3.22596e6 2.19942e6i 0.680839 0.464188i
\(469\) 1.68571e6 + 7.38556e6i 0.353875 + 1.55043i
\(470\) 876417. 132099.i 0.183006 0.0275838i
\(471\) 3.56858e6 4.47486e6i 0.741214 0.929453i
\(472\) 2.08389e7 4.30547
\(473\) 714057. + 1.14217e6i 0.146751 + 0.234734i
\(474\) 740597. 0.151404
\(475\) −3.59335e6 + 4.50592e6i −0.730745 + 0.916326i
\(476\) −1.24433e7 + 1.87553e6i −2.51721 + 0.379409i
\(477\) −78092.9 342147.i −0.0157150 0.0688521i
\(478\) 3.78757e6 2.58232e6i 0.758213 0.516941i
\(479\) 2.74285e6 4.75075e6i 0.546214 0.946071i −0.452315 0.891858i \(-0.649402\pi\)
0.998529 0.0542126i \(-0.0172649\pi\)
\(480\) −283913. 491751.i −0.0562447 0.0974187i
\(481\) 3.84378e6 + 1.85106e6i 0.757522 + 0.364803i
\(482\) −3.67249e6 + 1.13281e6i −0.720017 + 0.222096i
\(483\) 649810. 8.67111e6i 0.126741 1.69125i
\(484\) 2.56150e6 1.12227e7i 0.497029 2.17763i
\(485\) −31410.8 80033.3i −0.00606351 0.0154496i
\(486\) −370657. 4.94607e6i −0.0711838 0.949882i
\(487\) −4.62027e6 696394.i −0.882765 0.133055i −0.308012 0.951383i \(-0.599664\pi\)
−0.574753 + 0.818327i \(0.694902\pi\)
\(488\) 8.89901e6 8.25707e6i 1.69158 1.56956i
\(489\) 3.56203e6 1.71538e6i 0.673636 0.324406i
\(490\) −495477. 337811.i −0.0932253 0.0635599i
\(491\) −1.81764e6 + 4.63127e6i −0.340255 + 0.866955i 0.653659 + 0.756790i \(0.273233\pi\)
−0.993913 + 0.110165i \(0.964862\pi\)
\(492\) 2.25527e7 + 6.95658e6i 4.20035 + 1.29564i
\(493\) −4.79765e6 4.45157e6i −0.889020 0.824890i
\(494\) −9.48564e6 1.18946e7i −1.74884 2.19297i
\(495\) 13258.7 + 16625.8i 0.00243213 + 0.00304980i
\(496\) −6.15706e6 5.71291e6i −1.12375 1.04269i
\(497\) 2.88200e6 + 888978.i 0.523362 + 0.161436i
\(498\) 535706. 1.36496e6i 0.0967950 0.246630i
\(499\) −4.58953e6 3.12909e6i −0.825120 0.562557i 0.0755094 0.997145i \(-0.475942\pi\)
−0.900630 + 0.434588i \(0.856894\pi\)
\(500\) 1.29902e6 625577.i 0.232376 0.111907i
\(501\) −5.04296e6 + 4.67918e6i −0.897617 + 0.832867i
\(502\) 7.27597e6 + 1.09668e6i 1.28864 + 0.194231i
\(503\) 229712. + 3.06529e6i 0.0404822 + 0.540197i 0.980169 + 0.198162i \(0.0634971\pi\)
−0.939687 + 0.342035i \(0.888884\pi\)
\(504\) 2.11217e6 + 5.38172e6i 0.370384 + 0.943724i
\(505\) −14066.3 + 61628.6i −0.00245444 + 0.0107536i
\(506\) −227032. + 3.02953e6i −0.0394195 + 0.526017i
\(507\) −4.13905e6 + 1.27673e6i −0.715123 + 0.220586i
\(508\) 1.37783e7 + 6.63529e6i 2.36885 + 1.14078i
\(509\) 3.07291e6 + 5.32243e6i 0.525720 + 0.910574i 0.999551 + 0.0299584i \(0.00953749\pi\)
−0.473831 + 0.880616i \(0.657129\pi\)
\(510\) 234311. 405838.i 0.0398902 0.0690919i
\(511\) 3.92096e6 2.67326e6i 0.664263 0.452887i
\(512\) −2.40697e6 1.05456e7i −0.405784 1.77786i
\(513\) −5.73281e6 + 864082.i −0.961777 + 0.144964i
\(514\) −7.10405e6 + 8.90820e6i −1.18604 + 1.48724i
\(515\) −378830. −0.0629399
\(516\) −1.50611e7 6.61185e6i −2.49018 1.09320i
\(517\) 3.15430e6 0.519011
\(518\) −6.71439e6 + 8.41958e6i −1.09947 + 1.37869i
\(519\) 5.60230e6 844412.i 0.912953 0.137606i
\(520\) 248052. + 1.08679e6i 0.0402285 + 0.176253i
\(521\) 6.18380e6 4.21604e6i 0.998070 0.680473i 0.0500710 0.998746i \(-0.484055\pi\)
0.947999 + 0.318273i \(0.103103\pi\)
\(522\) −2.56290e6 + 4.43907e6i −0.411676 + 0.713043i
\(523\) −2.45042e6 4.24425e6i −0.391730 0.678495i 0.600948 0.799288i \(-0.294790\pi\)
−0.992678 + 0.120792i \(0.961456\pi\)
\(524\) 4.13055e6 + 1.98917e6i 0.657172 + 0.316477i
\(525\) −9.90368e6 + 3.05488e6i −1.56819 + 0.483722i
\(526\) −561827. + 7.49706e6i −0.0885398 + 1.18148i
\(527\) 642701. 2.81586e6i 0.100805 0.441656i
\(528\) −1.77188e6 4.51468e6i −0.276599 0.704762i
\(529\) 29789.9 + 397519.i 0.00462839 + 0.0617616i
\(530\) 168901. + 25457.8i 0.0261182 + 0.00393669i
\(531\) 2.06283e6 1.91402e6i 0.317487 0.294585i
\(532\) 2.44801e7 1.17890e7i 3.75003 1.80592i
\(533\) −1.13041e7 7.70702e6i −1.72353 1.17508i
\(534\) −3.50346e6 + 8.92667e6i −0.531672 + 1.35468i
\(535\) −217495. 67088.2i −0.0328522 0.0101336i
\(536\) 1.38980e7 + 1.28954e7i 2.08948 + 1.93876i
\(537\) 1.51710e6 + 1.90238e6i 0.227028 + 0.284684i
\(538\) −1.14263e7 1.43282e7i −1.70197 2.13420i
\(539\) −1.56447e6 1.45162e6i −0.231950 0.215219i
\(540\) 691983. + 213449.i 0.102120 + 0.0314999i
\(541\) 1.04929e6 2.67355e6i 0.154135 0.392731i −0.832859 0.553485i \(-0.813297\pi\)
0.986994 + 0.160754i \(0.0513927\pi\)
\(542\) −5.08938e6 3.46988e6i −0.744160 0.507360i
\(543\) 8.14551e6 3.92267e6i 1.18555 0.570930i
\(544\) −6.81704e6 + 6.32528e6i −0.987639 + 0.916395i
\(545\) −266870. 40224.2i −0.0384865 0.00580091i
\(546\) −2.04454e6 2.72824e7i −0.293503 3.91653i
\(547\) 2.00905e6 + 5.11898e6i 0.287093 + 0.731501i 0.999556 + 0.0297918i \(0.00948441\pi\)
−0.712463 + 0.701710i \(0.752420\pi\)
\(548\) −5.18443e6 + 2.27145e7i −0.737479 + 3.23110i
\(549\) 122505. 1.63472e6i 0.0173470 0.231479i
\(550\) 3.46017e6 1.06732e6i 0.487743 0.150449i
\(551\) 1.27319e7 + 6.13135e6i 1.78654 + 0.860354i
\(552\) −1.08809e7 1.88463e7i −1.51991 2.63257i
\(553\) 383368. 664012.i 0.0533093 0.0923344i
\(554\) −4.14562e6 + 2.82644e6i −0.573872 + 0.391259i
\(555\) −63138.3 276627.i −0.00870082 0.0381208i
\(556\) −1.10623e7 + 1.66737e6i −1.51760 + 0.228742i
\(557\) 3.74025e6 4.69013e6i 0.510814 0.640541i −0.457816 0.889047i \(-0.651368\pi\)
0.968630 + 0.248506i \(0.0799397\pi\)
\(558\) −2.26207e6 −0.307553
\(559\) 7.21315e6 + 6.23600e6i 0.976327 + 0.844066i
\(560\) −1.41087e6 −0.190115
\(561\) 1.03984e6 1.30392e6i 0.139495 0.174921i
\(562\) −1.83519e7 + 2.76610e6i −2.45098 + 0.369425i
\(563\) 2.81498e6 + 1.23332e7i 0.374287 + 1.63986i 0.714591 + 0.699543i \(0.246613\pi\)
−0.340304 + 0.940316i \(0.610530\pi\)
\(564\) −3.18248e7 + 2.16977e7i −4.21277 + 2.87221i
\(565\) 20295.8 35153.4i 0.00267476 0.00463282i
\(566\) 8.90830e6 + 1.54296e7i 1.16884 + 2.02448i
\(567\) −1.20582e7 5.80693e6i −1.57516 0.758558i
\(568\) 7.21272e6 2.22483e6i 0.938055 0.289352i
\(569\) −777888. + 1.03802e7i −0.100725 + 1.34408i 0.686372 + 0.727250i \(0.259202\pi\)
−0.787097 + 0.616829i \(0.788417\pi\)
\(570\) −225155. + 986469.i −0.0290265 + 0.127173i
\(571\) −4.07470e6 1.03822e7i −0.523005 1.33259i −0.911559 0.411169i \(-0.865121\pi\)
0.388554 0.921426i \(-0.372975\pi\)
\(572\) 505398. + 6.74407e6i 0.0645867 + 0.861850i
\(573\) −5.54881e6 836348.i −0.706014 0.106414i
\(574\) 2.53160e7 2.34898e7i 3.20712 2.97578i
\(575\) 7.33988e6 3.53470e6i 0.925804 0.445844i
\(576\) 1.79358e6 + 1.22284e6i 0.225250 + 0.153573i
\(577\) 3.43120e6 8.74255e6i 0.429049 1.09320i −0.538971 0.842324i \(-0.681187\pi\)
0.968020 0.250874i \(-0.0807179\pi\)
\(578\) 6.85783e6 + 2.11536e6i 0.853821 + 0.263369i
\(579\) −7.59032e6 7.04279e6i −0.940943 0.873068i
\(580\) −1.10052e6 1.38001e6i −0.135840 0.170338i
\(581\) −946501. 1.18687e6i −0.116327 0.145870i
\(582\) 3.87122e6 + 3.59197e6i 0.473740 + 0.439567i
\(583\) 580883. + 179179.i 0.0707811 + 0.0218331i
\(584\) 4.33901e6 1.10556e7i 0.526452 1.34138i
\(585\) 124374. + 84796.8i 0.0150259 + 0.0102445i
\(586\) 1.51804e7 7.31049e6i 1.82616 0.879432i
\(587\) 449682. 417244.i 0.0538654 0.0499798i −0.652781 0.757547i \(-0.726398\pi\)
0.706646 + 0.707567i \(0.250207\pi\)
\(588\) 2.57698e7 + 3.88417e6i 3.07374 + 0.463292i
\(589\) 466039. + 6.21886e6i 0.0553521 + 0.738623i
\(590\) 500376. + 1.27494e6i 0.0591789 + 0.150785i
\(591\) −135707. + 594570.i −0.0159820 + 0.0700219i
\(592\) −1.00987e6 + 1.34757e7i −0.118429 + 1.58033i
\(593\) −3.87872e6 + 1.19643e6i −0.452952 + 0.139717i −0.512833 0.858488i \(-0.671404\pi\)
0.0598811 + 0.998206i \(0.480928\pi\)
\(594\) 3.28185e6 + 1.58045e6i 0.381639 + 0.183787i
\(595\) −242580. 420162.i −0.0280907 0.0486546i
\(596\) −3.80999e6 + 6.59909e6i −0.439347 + 0.760971i
\(597\) −1.18636e7 + 8.08845e6i −1.36232 + 0.928816i
\(598\) 4.78538e6 + 2.09661e7i 0.547222 + 2.39754i
\(599\) −4.53765e6 + 683941.i −0.516730 + 0.0778846i −0.402230 0.915539i \(-0.631765\pi\)
−0.114500 + 0.993423i \(0.536527\pi\)
\(600\) −1.61721e7 + 2.02792e7i −1.83396 + 2.29971i
\(601\) −81689.2 −0.00922525 −0.00461263 0.999989i \(-0.501468\pi\)
−0.00461263 + 0.999989i \(0.501468\pi\)
\(602\) −1.93980e7 + 1.42484e7i −2.18156 + 1.60242i
\(603\) 2.56017e6 0.286732
\(604\) 2.03086e7 2.54662e7i 2.26510 2.84035i
\(605\) 438851. 66146.1i 0.0487448 0.00734710i
\(606\) −864000. 3.78543e6i −0.0955724 0.418730i
\(607\) −5.68725e6 + 3.87750e6i −0.626514 + 0.427150i −0.834520 0.550978i \(-0.814255\pi\)
0.208006 + 0.978128i \(0.433303\pi\)
\(608\) 1.00397e7 1.73892e7i 1.10144 1.90775i
\(609\) 1.27062e7 + 2.20077e7i 1.38826 + 2.40454i
\(610\) 718852. + 346181.i 0.0782195 + 0.0376685i
\(611\) 2.13364e7 6.58140e6i 2.31216 0.713206i
\(612\) −317811. + 4.24089e6i −0.0342997 + 0.457697i
\(613\) 1.24851e6 5.47007e6i 0.134196 0.587952i −0.862452 0.506140i \(-0.831072\pi\)
0.996648 0.0818123i \(-0.0260708\pi\)
\(614\) −2.84648e6 7.25271e6i −0.304710 0.776389i
\(615\) 67998.7 + 907379.i 0.00724958 + 0.0967389i
\(616\) −9.90232e6 1.49253e6i −1.05144 0.158479i
\(617\) −1.14658e7 + 1.06387e7i −1.21252 + 1.12506i −0.223906 + 0.974611i \(0.571881\pi\)
−0.988618 + 0.150447i \(0.951929\pi\)
\(618\) 2.09646e7 1.00960e7i 2.20808 1.06336i
\(619\) −4.17691e6 2.84777e6i −0.438156 0.298730i 0.324079 0.946030i \(-0.394946\pi\)
−0.762235 + 0.647300i \(0.775898\pi\)
\(620\) 284585. 725110.i 0.0297326 0.0757574i
\(621\) 7.83101e6 + 2.41555e6i 0.814870 + 0.251354i
\(622\) 8.13323e6 + 7.54654e6i 0.842922 + 0.782117i
\(623\) 6.19002e6 + 7.76204e6i 0.638957 + 0.801227i
\(624\) −2.14052e7 2.68413e7i −2.20069 2.75957i
\(625\) −7.09756e6 6.58557e6i −0.726790 0.674362i
\(626\) −1.51265e7 4.66590e6i −1.54277 0.475882i
\(627\) −1.31560e6 + 3.35209e6i −0.133646 + 0.340523i
\(628\) −2.08878e7 1.42411e7i −2.11346 1.44093i
\(629\) −4.18676e6 + 2.01624e6i −0.421940 + 0.203196i
\(630\) −278540. + 258448.i −0.0279600 + 0.0259431i
\(631\) −1.49944e7 2.26005e6i −1.49919 0.225967i −0.652393 0.757881i \(-0.726235\pi\)
−0.846798 + 0.531914i \(0.821473\pi\)
\(632\) −143399. 1.91353e6i −0.0142808 0.190565i
\(633\) 6.63405e6 + 1.69033e7i 0.658066 + 1.67673i
\(634\) −2.08263e6 + 9.12459e6i −0.205773 + 0.901551i
\(635\) −44060.8 + 587951.i −0.00433629 + 0.0578638i
\(636\) −7.09325e6 + 2.18798e6i −0.695349 + 0.214487i
\(637\) −1.36112e7 6.55480e6i −1.32907 0.640046i
\(638\) −4.43931e6 7.68912e6i −0.431782 0.747868i
\(639\) 509633. 882711.i 0.0493748 0.0855197i
\(640\) −16303.6 + 11115.6i −0.00157338 + 0.00107271i
\(641\) −2.34101e6 1.02566e7i −0.225039 0.985962i −0.953623 0.301005i \(-0.902678\pi\)
0.728583 0.684957i \(-0.240179\pi\)
\(642\) 1.38242e7 2.08366e6i 1.32374 0.199522i
\(643\) −376411. + 472004.i −0.0359033 + 0.0450213i −0.799459 0.600721i \(-0.794880\pi\)
0.763556 + 0.645742i \(0.223452\pi\)
\(644\) −3.84072e7 −3.64920
\(645\) 25151.8 633657.i 0.00238051 0.0599729i
\(646\) 1.65713e7 1.56234
\(647\) 5.03397e6 6.31240e6i 0.472770 0.592835i −0.487077 0.873359i \(-0.661937\pi\)
0.959847 + 0.280524i \(0.0905083\pi\)
\(648\) −3.31208e7 + 4.99216e6i −3.09858 + 0.467036i
\(649\) 1.08463e6 + 4.75209e6i 0.101081 + 0.442867i
\(650\) 2.11784e7 1.44392e7i 1.96612 1.34048i
\(651\) −5.60737e6 + 9.71224e6i −0.518569 + 0.898188i
\(652\) −8.73130e6 1.51231e7i −0.804377 1.39322i
\(653\) −5.85179e6 2.81807e6i −0.537039 0.258624i 0.145647 0.989337i \(-0.453474\pi\)
−0.682685 + 0.730713i \(0.739188\pi\)
\(654\) 1.58407e7 4.88621e6i 1.44821 0.446713i
\(655\) −13208.8 + 176259.i −0.00120299 + 0.0160527i
\(656\) 9.64323e6 4.22497e7i 0.874909 3.83323i
\(657\) −585927. 1.49292e6i −0.0529578 0.134934i
\(658\) 4.21193e6 + 5.62043e7i 0.379242 + 5.06063i
\(659\) 1.06249e6 + 160145.i 0.0953044 + 0.0143648i 0.196521 0.980500i \(-0.437036\pi\)
−0.101217 + 0.994864i \(0.532274\pi\)
\(660\) 329721. 305936.i 0.0294636 0.0273383i
\(661\) −9.18551e6 + 4.42351e6i −0.817711 + 0.393789i −0.795492 0.605964i \(-0.792787\pi\)
−0.0222190 + 0.999753i \(0.507073\pi\)
\(662\) −1.38372e7 9.43402e6i −1.22716 0.836665i
\(663\) 4.31309e6 1.09896e7i 0.381070 0.970950i
\(664\) −3.63046e6 1.11985e6i −0.319552 0.0985686i
\(665\) 767908. + 712515.i 0.0673372 + 0.0624798i
\(666\) 2.26916e6 + 2.84544e6i 0.198235 + 0.248578i
\(667\) −1.24543e7 1.56172e7i −1.08394 1.35922i
\(668\) 2.22744e7 + 2.06677e7i 1.93137 + 1.79205i
\(669\) 1.97023e7 + 6.07737e6i 1.70197 + 0.524989i
\(670\) −455237. + 1.15992e6i −0.0391787 + 0.0998258i
\(671\) 2.34612e6 + 1.59955e6i 0.201161 + 0.137149i
\(672\) 3.25328e7 1.56670e7i 2.77906 1.33833i
\(673\) −9.16330e6 + 8.50230e6i −0.779856 + 0.723601i −0.965893 0.258942i \(-0.916626\pi\)
0.186037 + 0.982543i \(0.440436\pi\)
\(674\) 4.07304e7 + 6.13913e6i 3.45358 + 0.520543i
\(675\) −729947. 9.74046e6i −0.0616640 0.822849i
\(676\) 6.98967e6 + 1.78094e7i 0.588288 + 1.49893i
\(677\) 1.56115e6 6.83985e6i 0.130910 0.573555i −0.866341 0.499454i \(-0.833534\pi\)
0.997251 0.0741011i \(-0.0236088\pi\)
\(678\) −186322. + 2.48630e6i −0.0155665 + 0.207720i
\(679\) 5.22445e6 1.61153e6i 0.434877 0.134142i
\(680\) −1.09396e6 526823.i −0.0907254 0.0436910i
\(681\) 6.36530e6 + 1.10250e7i 0.525958 + 0.910986i
\(682\) 1.95912e6 3.39329e6i 0.161287 0.279357i
\(683\) −4.54107e6 + 3.09605e6i −0.372483 + 0.253955i −0.735064 0.677998i \(-0.762848\pi\)
0.362581 + 0.931952i \(0.381896\pi\)
\(684\) −2.04330e6 8.95230e6i −0.166991 0.731635i
\(685\) −888224. + 133878.i −0.0723263 + 0.0109014i
\(686\) 2.97454e6 3.72996e6i 0.241329 0.302617i
\(687\) −6.00984e6 −0.485815
\(688\) −1.00400e7 + 2.84849e7i −0.808654 + 2.29426i
\(689\) 4.30307e6 0.345327
\(690\) 891761. 1.11823e6i 0.0713059 0.0894148i
\(691\) −1.40219e7 + 2.11346e6i −1.11715 + 0.168383i −0.681560 0.731762i \(-0.738698\pi\)
−0.435590 + 0.900145i \(0.643460\pi\)
\(692\) −5.56848e6 2.43971e7i −0.442050 1.93675i
\(693\) −1.11731e6 + 761768.i −0.0883772 + 0.0602545i
\(694\) −1.25619e7 + 2.17578e7i −0.990046 + 1.71481i
\(695\) −215657. 373529.i −0.0169357 0.0293334i
\(696\) 5.73007e7 + 2.75946e7i 4.48370 + 2.15924i
\(697\) 1.42402e7 4.39251e6i 1.11028 0.342476i
\(698\) 394279. 5.26129e6i 0.0306313 0.408746i
\(699\) 4.30482e6 1.88607e7i 0.333244 1.46004i
\(700\) 1.67245e7 + 4.26133e7i 1.29005 + 3.28700i
\(701\) −1.54853e6 2.06637e7i −0.119021 1.58823i −0.662669 0.748912i \(-0.730577\pi\)
0.543648 0.839313i \(-0.317043\pi\)
\(702\) 2.54967e7 + 3.84301e6i 1.95273 + 0.294326i
\(703\) 7.35515e6 6.82458e6i 0.561311 0.520820i
\(704\) −3.38774e6 + 1.63145e6i −0.257619 + 0.124063i
\(705\) −1.22697e6 836537.i −0.0929743 0.0633888i
\(706\) 7.60139e6 1.93680e7i 0.573960 1.46243i
\(707\) −3.84123e6 1.18486e6i −0.289016 0.0891496i
\(708\) −4.36319e7 4.04844e7i −3.27130 3.03532i
\(709\) −8.31613e6 1.04281e7i −0.621306 0.779093i 0.367221 0.930134i \(-0.380309\pi\)
−0.988528 + 0.151040i \(0.951738\pi\)
\(710\) 309305. + 387856.i 0.0230272 + 0.0288752i
\(711\) −189950. 176247.i −0.0140917 0.0130752i
\(712\) 2.37428e7 + 7.32368e6i 1.75522 + 0.541414i
\(713\) 3.22058e6 8.20590e6i 0.237252 0.604508i
\(714\) 2.46221e7 + 1.67870e7i 1.80750 + 1.23233i
\(715\) −234919. + 113131.i −0.0171851 + 0.00827593i
\(716\) 7.87846e6 7.31014e6i 0.574326 0.532897i
\(717\) −7.59484e6 1.14474e6i −0.551723 0.0831588i
\(718\) −452353. 6.03624e6i −0.0327466 0.436974i
\(719\) 1.08206e6 + 2.75703e6i 0.0780598 + 0.198893i 0.964576 0.263804i \(-0.0849771\pi\)
−0.886517 + 0.462697i \(0.846882\pi\)
\(720\) −106100. + 464854.i −0.00762753 + 0.0334184i
\(721\) 1.80026e6 2.40229e7i 0.128973 1.72102i
\(722\) −9.44187e6 + 2.91243e6i −0.674085 + 0.207928i
\(723\) 5.80160e6 + 2.79390e6i 0.412764 + 0.198777i
\(724\) −1.99664e7 3.45828e7i −1.41564 2.45197i
\(725\) −1.19043e7 + 2.06188e7i −0.841120 + 1.45686i
\(726\) −2.25234e7 + 1.53562e7i −1.58596 + 1.08129i
\(727\) −300648. 1.31723e6i −0.0210971 0.0924324i 0.963283 0.268487i \(-0.0865236\pi\)
−0.984380 + 0.176055i \(0.943666\pi\)
\(728\) −7.00956e7 + 1.05652e7i −4.90187 + 0.738839i
\(729\) 5.50307e6 6.90063e6i 0.383519 0.480917i
\(730\) 780576. 0.0542136
\(731\) −1.02092e7 + 1.90766e6i −0.706637 + 0.132041i
\(732\) −3.46737e7 −2.39179
\(733\) −6.02564e6 + 7.55591e6i −0.414231 + 0.519430i −0.944550 0.328369i \(-0.893501\pi\)
0.530318 + 0.847799i \(0.322072\pi\)
\(734\) 4.29232e7 6.46962e6i 2.94070 0.443240i
\(735\) 223579. + 979562.i 0.0152655 + 0.0668827i
\(736\) −2.34511e7 + 1.59887e7i −1.59577 + 1.08797i
\(737\) −2.21729e6 + 3.84047e6i −0.150368 + 0.260444i
\(738\) −5.83564e6 1.01076e7i −0.394410 0.683138i
\(739\) 8.27899e6 + 3.98695e6i 0.557656 + 0.268553i 0.691411 0.722462i \(-0.256989\pi\)
−0.133755 + 0.991014i \(0.542704\pi\)
\(740\) −1.19759e6 + 369407.i −0.0803947 + 0.0247985i
\(741\) −1.90491e6 + 2.54192e7i −0.127447 + 1.70066i
\(742\) −2.41701e6 + 1.05896e7i −0.161164 + 0.706107i
\(743\) −883182. 2.25031e6i −0.0586919 0.149545i 0.898520 0.438933i \(-0.144643\pi\)
−0.957212 + 0.289388i \(0.906548\pi\)
\(744\) 2.09744e6 + 2.79884e7i 0.138918 + 1.85373i
\(745\) −290500. 43785.8i −0.0191759 0.00289030i
\(746\) 3.62793e7 3.36622e7i 2.38677 2.21460i
\(747\) −462232. + 222599.i −0.0303081 + 0.0145956i
\(748\) −6.08644e6 4.14966e6i −0.397749 0.271181i
\(749\) 5.28787e6 1.34733e7i 0.344410 0.877543i
\(750\) −3.26268e6 1.00640e6i −0.211798 0.0653310i
\(751\) 1.35120e7 + 1.25373e7i 0.874218 + 0.811155i 0.983132 0.182896i \(-0.0585471\pi\)
−0.108915 + 0.994051i \(0.534738\pi\)
\(752\) 4.40967e7 + 5.52955e7i 2.84355 + 3.56570i
\(753\) −7.68670e6 9.63881e6i −0.494029 0.619493i
\(754\) −4.60717e7 4.27483e7i −2.95125 2.73836i
\(755\) 1.20001e6 + 370154.i 0.0766157 + 0.0236328i