Properties

Label 43.6.g.a.24.6
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 24.6
Character \(\chi\) \(=\) 43.24
Dual form 43.6.g.a.9.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.33890 + 2.93289i) q^{2} +(28.6156 - 4.31311i) q^{3} +(3.98929 + 17.4782i) q^{4} +(-77.5461 + 52.8700i) q^{5} +(-54.2792 + 94.0143i) q^{6} +(35.5619 + 61.5951i) q^{7} +(-168.746 - 81.2638i) q^{8} +(568.046 - 175.219i) q^{9} +O(q^{10})\) \(q+(-2.33890 + 2.93289i) q^{2} +(28.6156 - 4.31311i) q^{3} +(3.98929 + 17.4782i) q^{4} +(-77.5461 + 52.8700i) q^{5} +(-54.2792 + 94.0143i) q^{6} +(35.5619 + 61.5951i) q^{7} +(-168.746 - 81.2638i) q^{8} +(568.046 - 175.219i) q^{9} +(26.3107 - 351.092i) q^{10} +(-113.232 + 496.104i) q^{11} +(189.542 + 482.944i) q^{12} +(-55.2426 - 737.161i) q^{13} +(-263.827 - 39.7655i) q^{14} +(-1990.99 + 1847.37i) q^{15} +(116.143 - 55.9317i) q^{16} +(1081.85 + 737.593i) q^{17} +(-814.704 + 2075.83i) q^{18} +(432.455 + 133.395i) q^{19} +(-1233.43 - 1144.46i) q^{20} +(1283.29 + 1609.20i) q^{21} +(-1190.18 - 1492.44i) q^{22} +(1345.53 + 1248.47i) q^{23} +(-5179.27 - 1597.59i) q^{24} +(2076.47 - 5290.75i) q^{25} +(2291.22 + 1562.12i) q^{26} +(9163.50 - 4412.91i) q^{27} +(-934.706 + 867.281i) q^{28} +(2316.92 + 349.219i) q^{29} +(-761.400 - 10160.2i) q^{30} +(-941.518 - 2398.95i) q^{31} +(1226.05 - 5371.69i) q^{32} +(-1100.47 + 14684.7i) q^{33} +(-4693.61 + 1447.79i) q^{34} +(-6014.22 - 2896.30i) q^{35} +(5328.62 + 9229.44i) q^{36} +(1233.33 - 2136.19i) q^{37} +(-1402.70 + 956.344i) q^{38} +(-4760.25 - 20856.0i) q^{39} +(17382.0 - 2619.92i) q^{40} +(-3620.71 + 4540.22i) q^{41} -7721.09 q^{42} +(11876.7 - 2439.92i) q^{43} -9122.74 q^{44} +(-34785.9 + 43620.1i) q^{45} +(-6808.66 + 1026.24i) q^{46} +(-2629.85 - 11522.1i) q^{47} +(3082.27 - 2101.46i) q^{48} +(5874.20 - 10174.4i) q^{49} +(10660.5 + 18464.6i) q^{50} +(34139.1 + 16440.5i) q^{51} +(12663.9 - 3906.29i) q^{52} +(2016.05 - 26902.4i) q^{53} +(-8489.94 + 37196.8i) q^{54} +(-17448.3 - 44457.5i) q^{55} +(-995.485 - 13283.8i) q^{56} +(12950.3 + 1951.94i) q^{57} +(-6443.26 + 5978.47i) q^{58} +(8718.45 - 4198.58i) q^{59} +(-40231.5 - 27429.4i) q^{60} +(-14413.4 + 36724.7i) q^{61} +(9237.96 + 2849.53i) q^{62} +(30993.4 + 28757.7i) q^{63} +(15458.9 + 19384.8i) q^{64} +(43257.6 + 54243.3i) q^{65} +(-40494.7 - 37573.6i) q^{66} +(-26855.3 - 8283.77i) q^{67} +(-8576.00 + 21851.3i) q^{68} +(43887.8 + 29922.2i) q^{69} +(22561.2 - 10864.9i) q^{70} +(-40352.8 + 37442.0i) q^{71} +(-110094. - 16594.1i) q^{72} +(185.210 + 2471.45i) q^{73} +(3380.57 + 8613.56i) q^{74} +(36599.8 - 160354. i) q^{75} +(-606.314 + 8090.70i) q^{76} +(-34584.3 + 10667.8i) q^{77} +(72302.1 + 34818.9i) q^{78} +(11530.0 + 19970.6i) q^{79} +(-6049.36 + 10477.8i) q^{80} +(123833. - 84428.1i) q^{81} +(-4847.49 - 21238.2i) q^{82} +(-72770.7 + 10968.4i) q^{83} +(-23006.5 + 28849.3i) q^{84} -122890. q^{85} +(-20622.3 + 40539.7i) q^{86} +67806.2 q^{87} +(59422.8 - 74513.9i) q^{88} +(119862. - 18066.3i) q^{89} +(-46572.2 - 204046. i) q^{90} +(43440.9 - 29617.5i) q^{91} +(-16453.3 + 28497.9i) q^{92} +(-37289.0 - 64586.5i) q^{93} +(39944.1 + 19236.1i) q^{94} +(-40587.8 + 12519.7i) q^{95} +(11915.6 - 159002. i) q^{96} +(20627.6 - 90375.5i) q^{97} +(16101.2 + 41025.3i) q^{98} +(22605.6 + 301650. i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.33890 + 2.93289i −0.413463 + 0.518466i −0.944335 0.328986i \(-0.893293\pi\)
0.530872 + 0.847452i \(0.321865\pi\)
\(3\) 28.6156 4.31311i 1.83569 0.276686i 0.862395 0.506236i \(-0.168964\pi\)
0.973297 + 0.229550i \(0.0737254\pi\)
\(4\) 3.98929 + 17.4782i 0.124665 + 0.546195i
\(5\) −77.5461 + 52.8700i −1.38719 + 0.945768i −0.387472 + 0.921881i \(0.626652\pi\)
−0.999715 + 0.0238867i \(0.992396\pi\)
\(6\) −54.2792 + 94.0143i −0.615538 + 1.06614i
\(7\) 35.5619 + 61.5951i 0.274309 + 0.475117i 0.969961 0.243262i \(-0.0782175\pi\)
−0.695651 + 0.718379i \(0.744884\pi\)
\(8\) −168.746 81.2638i −0.932199 0.448923i
\(9\) 568.046 175.219i 2.33764 0.721065i
\(10\) 26.3107 351.092i 0.0832017 1.11025i
\(11\) −113.232 + 496.104i −0.282156 + 1.23621i 0.612867 + 0.790186i \(0.290016\pi\)
−0.895023 + 0.446020i \(0.852841\pi\)
\(12\) 189.542 + 482.944i 0.379972 + 0.968153i
\(13\) −55.2426 737.161i −0.0906599 1.20977i −0.838127 0.545475i \(-0.816349\pi\)
0.747467 0.664298i \(-0.231270\pi\)
\(14\) −263.827 39.7655i −0.359749 0.0542234i
\(15\) −1990.99 + 1847.37i −2.28477 + 2.11995i
\(16\) 116.143 55.9317i 0.113421 0.0546208i
\(17\) 1081.85 + 737.593i 0.907914 + 0.619005i 0.924635 0.380855i \(-0.124370\pi\)
−0.0167210 + 0.999860i \(0.505323\pi\)
\(18\) −814.704 + 2075.83i −0.592678 + 1.51012i
\(19\) 432.455 + 133.395i 0.274825 + 0.0847724i 0.429104 0.903255i \(-0.358829\pi\)
−0.154279 + 0.988027i \(0.549305\pi\)
\(20\) −1233.43 1144.46i −0.689508 0.639770i
\(21\) 1283.29 + 1609.20i 0.635005 + 0.796271i
\(22\) −1190.18 1492.44i −0.524270 0.657414i
\(23\) 1345.53 + 1248.47i 0.530362 + 0.492104i 0.899289 0.437354i \(-0.144084\pi\)
−0.368927 + 0.929458i \(0.620275\pi\)
\(24\) −5179.27 1597.59i −1.83544 0.566159i
\(25\) 2076.47 5290.75i 0.664469 1.69304i
\(26\) 2291.22 + 1562.12i 0.664711 + 0.453192i
\(27\) 9163.50 4412.91i 2.41909 1.16497i
\(28\) −934.706 + 867.281i −0.225310 + 0.209057i
\(29\) 2316.92 + 349.219i 0.511582 + 0.0771086i 0.399761 0.916620i \(-0.369093\pi\)
0.111822 + 0.993728i \(0.464331\pi\)
\(30\) −761.400 10160.2i −0.154458 2.06110i
\(31\) −941.518 2398.95i −0.175964 0.448349i 0.815495 0.578763i \(-0.196465\pi\)
−0.991460 + 0.130414i \(0.958369\pi\)
\(32\) 1226.05 5371.69i 0.211658 0.927333i
\(33\) −1100.47 + 14684.7i −0.175910 + 2.34736i
\(34\) −4693.61 + 1447.79i −0.696322 + 0.214787i
\(35\) −6014.22 2896.30i −0.829869 0.399644i
\(36\) 5328.62 + 9229.44i 0.685265 + 1.18691i
\(37\) 1233.33 2136.19i 0.148107 0.256529i −0.782421 0.622750i \(-0.786015\pi\)
0.930528 + 0.366221i \(0.119349\pi\)
\(38\) −1402.70 + 956.344i −0.157582 + 0.107437i
\(39\) −4760.25 20856.0i −0.501151 2.19569i
\(40\) 17382.0 2619.92i 1.71771 0.258903i
\(41\) −3620.71 + 4540.22i −0.336383 + 0.421811i −0.921039 0.389471i \(-0.872658\pi\)
0.584656 + 0.811281i \(0.301229\pi\)
\(42\) −7721.09 −0.675391
\(43\) 11876.7 2439.92i 0.979543 0.201236i
\(44\) −9122.74 −0.710385
\(45\) −34785.9 + 43620.1i −2.56078 + 3.21111i
\(46\) −6808.66 + 1026.24i −0.474424 + 0.0715080i
\(47\) −2629.85 11522.1i −0.173655 0.760832i −0.984473 0.175534i \(-0.943835\pi\)
0.810819 0.585298i \(-0.199022\pi\)
\(48\) 3082.27 2101.46i 0.193094 0.131649i
\(49\) 5874.20 10174.4i 0.349509 0.605367i
\(50\) 10660.5 + 18464.6i 0.603051 + 1.04451i
\(51\) 34139.1 + 16440.5i 1.83792 + 0.885096i
\(52\) 12663.9 3906.29i 0.649470 0.200335i
\(53\) 2016.05 26902.4i 0.0985854 1.31553i −0.700214 0.713933i \(-0.746912\pi\)
0.798800 0.601597i \(-0.205469\pi\)
\(54\) −8489.94 + 37196.8i −0.396205 + 1.73589i
\(55\) −17448.3 44457.5i −0.777761 1.98170i
\(56\) −995.485 13283.8i −0.0424194 0.566048i
\(57\) 12950.3 + 1951.94i 0.527950 + 0.0795756i
\(58\) −6443.26 + 5978.47i −0.251499 + 0.233357i
\(59\) 8718.45 4198.58i 0.326069 0.157026i −0.263687 0.964608i \(-0.584938\pi\)
0.589755 + 0.807582i \(0.299224\pi\)
\(60\) −40231.5 27429.4i −1.44274 0.983643i
\(61\) −14413.4 + 36724.7i −0.495954 + 1.26367i 0.435625 + 0.900128i \(0.356527\pi\)
−0.931578 + 0.363541i \(0.881568\pi\)
\(62\) 9237.96 + 2849.53i 0.305209 + 0.0941444i
\(63\) 30993.4 + 28757.7i 0.983826 + 0.912857i
\(64\) 15458.9 + 19384.8i 0.471768 + 0.591578i
\(65\) 43257.6 + 54243.3i 1.26993 + 1.59244i
\(66\) −40494.7 37573.6i −1.14430 1.06175i
\(67\) −26855.3 8283.77i −0.730876 0.225445i −0.0930885 0.995658i \(-0.529674\pi\)
−0.637787 + 0.770213i \(0.720150\pi\)
\(68\) −8576.00 + 21851.3i −0.224912 + 0.573066i
\(69\) 43887.8 + 29922.2i 1.10974 + 0.756608i
\(70\) 22561.2 10864.9i 0.550322 0.265021i
\(71\) −40352.8 + 37442.0i −0.950010 + 0.881480i −0.993062 0.117592i \(-0.962482\pi\)
0.0430520 + 0.999073i \(0.486292\pi\)
\(72\) −110094. 16594.1i −2.50285 0.377243i
\(73\) 185.210 + 2471.45i 0.00406777 + 0.0542806i 0.998868 0.0475621i \(-0.0151452\pi\)
−0.994801 + 0.101843i \(0.967526\pi\)
\(74\) 3380.57 + 8613.56i 0.0717647 + 0.182853i
\(75\) 36599.8 160354.i 0.751320 3.29175i
\(76\) −606.314 + 8090.70i −0.0120410 + 0.160676i
\(77\) −34584.3 + 10667.8i −0.664741 + 0.205045i
\(78\) 72302.1 + 34818.9i 1.34560 + 0.648005i
\(79\) 11530.0 + 19970.6i 0.207856 + 0.360017i 0.951039 0.309071i \(-0.100018\pi\)
−0.743183 + 0.669088i \(0.766685\pi\)
\(80\) −6049.36 + 10477.8i −0.105678 + 0.183039i
\(81\) 123833. 84428.1i 2.09713 1.42980i
\(82\) −4847.49 21238.2i −0.0796127 0.348806i
\(83\) −72770.7 + 10968.4i −1.15947 + 0.174763i −0.700477 0.713675i \(-0.747029\pi\)
−0.458997 + 0.888438i \(0.651791\pi\)
\(84\) −23006.5 + 28849.3i −0.355756 + 0.446104i
\(85\) −122890. −1.84488
\(86\) −20622.3 + 40539.7i −0.300671 + 0.591063i
\(87\) 67806.2 0.960443
\(88\) 59422.8 74513.9i 0.817988 1.02572i
\(89\) 119862. 18066.3i 1.60401 0.241766i 0.714822 0.699306i \(-0.246508\pi\)
0.889189 + 0.457540i \(0.151270\pi\)
\(90\) −46572.2 204046.i −0.606067 2.65535i
\(91\) 43440.9 29617.5i 0.549915 0.374926i
\(92\) −16453.3 + 28497.9i −0.202667 + 0.351030i
\(93\) −37289.0 64586.5i −0.447068 0.774344i
\(94\) 39944.1 + 19236.1i 0.466265 + 0.224541i
\(95\) −40587.8 + 12519.7i −0.461409 + 0.142326i
\(96\) 11915.6 159002.i 0.131958 1.76086i
\(97\) 20627.6 90375.5i 0.222597 0.975262i −0.732917 0.680318i \(-0.761842\pi\)
0.955515 0.294944i \(-0.0953010\pi\)
\(98\) 16101.2 + 41025.3i 0.169353 + 0.431506i
\(99\) 22605.6 + 301650.i 0.231807 + 3.09325i
\(100\) 100757. + 15186.6i 1.00757 + 0.151866i
\(101\) −98668.1 + 91550.6i −0.962439 + 0.893013i −0.994315 0.106479i \(-0.966042\pi\)
0.0318761 + 0.999492i \(0.489852\pi\)
\(102\) −128066. + 61673.4i −1.21880 + 0.586945i
\(103\) −7023.07 4788.25i −0.0652280 0.0444717i 0.530267 0.847831i \(-0.322092\pi\)
−0.595495 + 0.803359i \(0.703044\pi\)
\(104\) −50582.5 + 128882.i −0.458582 + 1.16845i
\(105\) −184593. 56939.3i −1.63396 0.504010i
\(106\) 74186.2 + 68834.8i 0.641296 + 0.595036i
\(107\) −13554.9 16997.3i −0.114455 0.143522i 0.721304 0.692619i \(-0.243543\pi\)
−0.835759 + 0.549097i \(0.814972\pi\)
\(108\) 113686. + 142557.i 0.937879 + 1.17606i
\(109\) 75720.6 + 70258.5i 0.610447 + 0.566412i 0.923632 0.383280i \(-0.125206\pi\)
−0.313185 + 0.949692i \(0.601396\pi\)
\(110\) 171199. + 52807.8i 1.34902 + 0.416118i
\(111\) 26078.9 66447.9i 0.200901 0.511887i
\(112\) 7575.40 + 5164.82i 0.0570638 + 0.0389054i
\(113\) −73460.3 + 35376.6i −0.541199 + 0.260628i −0.684451 0.729059i \(-0.739958\pi\)
0.143252 + 0.989686i \(0.454244\pi\)
\(114\) −36014.3 + 33416.4i −0.259545 + 0.240822i
\(115\) −170347. 25675.6i −1.20113 0.181041i
\(116\) 3139.13 + 41888.8i 0.0216603 + 0.289037i
\(117\) −160545. 409061.i −1.08426 2.76264i
\(118\) −8077.60 + 35390.3i −0.0534045 + 0.233980i
\(119\) −6959.41 + 92866.8i −0.0450510 + 0.601164i
\(120\) 486097. 149941.i 3.08156 0.950534i
\(121\) −88195.6 42472.7i −0.547625 0.263722i
\(122\) −73997.9 128168.i −0.450111 0.779615i
\(123\) −84026.2 + 145538.i −0.500786 + 0.867387i
\(124\) 38173.4 26026.2i 0.222950 0.152004i
\(125\) 53436.1 + 234119.i 0.305886 + 1.34017i
\(126\) −156834. + 23638.9i −0.880061 + 0.132648i
\(127\) 51363.8 64408.2i 0.282584 0.354349i −0.620200 0.784444i \(-0.712948\pi\)
0.902784 + 0.430095i \(0.141520\pi\)
\(128\) 83304.2 0.449409
\(129\) 329334. 121045.i 1.74246 0.640432i
\(130\) −260264. −1.35069
\(131\) −7390.39 + 9267.26i −0.0376261 + 0.0471816i −0.800289 0.599615i \(-0.795320\pi\)
0.762662 + 0.646797i \(0.223892\pi\)
\(132\) −261053. + 39347.4i −1.30405 + 0.196554i
\(133\) 7162.47 + 31380.8i 0.0351103 + 0.153828i
\(134\) 87107.3 59388.7i 0.419076 0.285721i
\(135\) −477283. + 826678.i −2.25394 + 3.90393i
\(136\) −122618. 212381.i −0.568471 0.984620i
\(137\) 361563. + 174120.i 1.64582 + 0.792586i 0.999566 + 0.0294642i \(0.00938011\pi\)
0.646255 + 0.763121i \(0.276334\pi\)
\(138\) −190408. + 58733.0i −0.851112 + 0.262533i
\(139\) −11238.7 + 149970.i −0.0493378 + 0.658367i 0.916635 + 0.399724i \(0.130894\pi\)
−0.965973 + 0.258642i \(0.916725\pi\)
\(140\) 26629.7 116672.i 0.114827 0.503092i
\(141\) −124951. 318370.i −0.529288 1.34860i
\(142\) −15431.8 205923.i −0.0642238 0.857007i
\(143\) 371964. + 56064.5i 1.52111 + 0.229270i
\(144\) 56174.5 52122.3i 0.225753 0.209468i
\(145\) −198131. + 95415.0i −0.782587 + 0.376874i
\(146\) −7681.67 5237.27i −0.0298245 0.0203340i
\(147\) 124210. 316483.i 0.474094 1.20797i
\(148\) 42257.0 + 13034.6i 0.158579 + 0.0489150i
\(149\) −358788. 332907.i −1.32395 1.22845i −0.954147 0.299339i \(-0.903234\pi\)
−0.369806 0.929109i \(-0.620576\pi\)
\(150\) 384697. + 482395.i 1.39602 + 1.75055i
\(151\) −251930. 315910.i −0.899160 1.12751i −0.991281 0.131764i \(-0.957936\pi\)
0.0921208 0.995748i \(-0.470635\pi\)
\(152\) −62134.9 57652.7i −0.218136 0.202400i
\(153\) 743780. + 229426.i 2.56872 + 0.792344i
\(154\) 49601.6 126383.i 0.168537 0.429424i
\(155\) 199843. + 136251.i 0.668130 + 0.455523i
\(156\) 345537. 166402.i 1.13680 0.547452i
\(157\) −258216. + 239589.i −0.836053 + 0.775744i −0.976766 0.214307i \(-0.931251\pi\)
0.140714 + 0.990050i \(0.455060\pi\)
\(158\) −85539.0 12892.9i −0.272597 0.0410874i
\(159\) −58342.2 778523.i −0.183016 2.44219i
\(160\) 188926. + 481375.i 0.583433 + 1.48656i
\(161\) −29049.8 + 127276.i −0.0883240 + 0.386973i
\(162\) −42015.5 + 560658.i −0.125783 + 1.67846i
\(163\) 330825. 102046.i 0.975281 0.300834i 0.234154 0.972199i \(-0.424768\pi\)
0.741127 + 0.671365i \(0.234292\pi\)
\(164\) −93799.2 45171.3i −0.272326 0.131145i
\(165\) −691044. 1.19692e6i −1.97604 3.42260i
\(166\) 138034. 239082.i 0.388791 0.673406i
\(167\) 72035.3 49112.9i 0.199873 0.136271i −0.459248 0.888308i \(-0.651881\pi\)
0.659121 + 0.752037i \(0.270929\pi\)
\(168\) −85781.0 375831.i −0.234486 1.02735i
\(169\) −173208. + 26107.0i −0.466501 + 0.0703136i
\(170\) 287427. 360422.i 0.762790 0.956508i
\(171\) 269027. 0.703568
\(172\) 90025.1 + 197850.i 0.232029 + 0.509934i
\(173\) −387445. −0.984226 −0.492113 0.870531i \(-0.663775\pi\)
−0.492113 + 0.870531i \(0.663775\pi\)
\(174\) −158592. + 198868.i −0.397107 + 0.497957i
\(175\) 399727. 60249.2i 0.986663 0.148715i
\(176\) 14596.7 + 63952.5i 0.0355201 + 0.155624i
\(177\) 231375. 157749.i 0.555115 0.378471i
\(178\) −227359. + 393798.i −0.537852 + 0.931586i
\(179\) −167959. 290913.i −0.391806 0.678627i 0.600882 0.799338i \(-0.294816\pi\)
−0.992688 + 0.120710i \(0.961483\pi\)
\(180\) −901175. 433983.i −2.07314 0.998369i
\(181\) 336585. 103823.i 0.763658 0.235557i 0.111628 0.993750i \(-0.464394\pi\)
0.652030 + 0.758193i \(0.273917\pi\)
\(182\) −14739.1 + 196680.i −0.0329832 + 0.440130i
\(183\) −254050. + 1.11307e6i −0.560778 + 2.45693i
\(184\) −125597. 320016.i −0.273486 0.696831i
\(185\) 17300.5 + 230860.i 0.0371647 + 0.495928i
\(186\) 276640. + 41696.8i 0.586317 + 0.0883731i
\(187\) −488423. + 453190.i −1.02139 + 0.947713i
\(188\) 190895. 91930.4i 0.393914 0.189699i
\(189\) 597685. + 407495.i 1.21708 + 0.829789i
\(190\) 58211.9 148322.i 0.116984 0.298071i
\(191\) −808397. 249357.i −1.60340 0.494583i −0.641300 0.767290i \(-0.721605\pi\)
−0.962097 + 0.272707i \(0.912081\pi\)
\(192\) 525975. + 488033.i 1.02970 + 0.955424i
\(193\) −245927. 308383.i −0.475240 0.595932i 0.485205 0.874400i \(-0.338745\pi\)
−0.960446 + 0.278468i \(0.910173\pi\)
\(194\) 216815. + 271878.i 0.413604 + 0.518644i
\(195\) 1.47180e6 + 1.36563e6i 2.77180 + 2.57185i
\(196\) 201265. + 62081.9i 0.374220 + 0.115432i
\(197\) 209134. 532865.i 0.383936 0.978254i −0.600042 0.799968i \(-0.704850\pi\)
0.983979 0.178286i \(-0.0570551\pi\)
\(198\) −937578. 639230.i −1.69959 1.15876i
\(199\) −201773. + 97168.9i −0.361186 + 0.173938i −0.605671 0.795715i \(-0.707095\pi\)
0.244485 + 0.969653i \(0.421381\pi\)
\(200\) −780342. + 724052.i −1.37946 + 1.27996i
\(201\) −804210. 121215.i −1.40404 0.211625i
\(202\) −37732.8 503510.i −0.0650641 0.868219i
\(203\) 60883.9 + 155130.i 0.103696 + 0.264213i
\(204\) −151160. + 662277.i −0.254310 + 1.11420i
\(205\) 40730.0 543504.i 0.0676908 0.903270i
\(206\) 30469.6 9398.64i 0.0500264 0.0154311i
\(207\) 983075. + 473424.i 1.59463 + 0.767935i
\(208\) −47646.7 82526.5i −0.0763615 0.132262i
\(209\) −115146. + 199438.i −0.182340 + 0.315822i
\(210\) 598740. 408214.i 0.936893 0.638763i
\(211\) 83154.8 + 364325.i 0.128582 + 0.563356i 0.997641 + 0.0686469i \(0.0218682\pi\)
−0.869059 + 0.494709i \(0.835275\pi\)
\(212\) 478249. 72084.4i 0.730826 0.110154i
\(213\) −993229. + 1.24547e6i −1.50003 + 1.88098i
\(214\) 81554.5 0.121734
\(215\) −791991. + 817126.i −1.16849 + 1.20557i
\(216\) −1.90491e6 −2.77806
\(217\) 114281. 143304.i 0.164750 0.206590i
\(218\) −383163. + 57752.5i −0.546062 + 0.0823057i
\(219\) 15959.5 + 69923.2i 0.0224858 + 0.0985169i
\(220\) 707433. 482320.i 0.985436 0.671859i
\(221\) 483960. 838244.i 0.666544 1.15449i
\(222\) 133888. + 231901.i 0.182331 + 0.315806i
\(223\) 411976. + 198397.i 0.554767 + 0.267161i 0.690192 0.723626i \(-0.257526\pi\)
−0.135426 + 0.990788i \(0.543240\pi\)
\(224\) 374470. 115509.i 0.498652 0.153814i
\(225\) 252488. 3.36922e6i 0.332495 4.43684i
\(226\) 68060.7 298193.i 0.0886391 0.388353i
\(227\) 23180.7 + 59063.5i 0.0298581 + 0.0760772i 0.945025 0.326997i \(-0.106037\pi\)
−0.915167 + 0.403074i \(0.867942\pi\)
\(228\) 17546.0 + 234135.i 0.0223533 + 0.298284i
\(229\) 1.21466e6 + 183081.i 1.53062 + 0.230703i 0.859689 0.510819i \(-0.170658\pi\)
0.670929 + 0.741522i \(0.265896\pi\)
\(230\) 473728. 439555.i 0.590485 0.547890i
\(231\) −943640. + 454433.i −1.16353 + 0.560325i
\(232\) −362592. 247211.i −0.442281 0.301542i
\(233\) 449206. 1.14456e6i 0.542071 1.38117i −0.353157 0.935564i \(-0.614892\pi\)
0.895227 0.445609i \(-0.147013\pi\)
\(234\) 1.57523e6 + 485894.i 1.88063 + 0.580098i
\(235\) 813111. + 754457.i 0.960462 + 0.891178i
\(236\) 108164. + 135634.i 0.126417 + 0.158521i
\(237\) 416074. + 521740.i 0.481171 + 0.603369i
\(238\) −256090. 237617.i −0.293056 0.271917i
\(239\) −141952. 43786.3i −0.160748 0.0495843i 0.213337 0.976979i \(-0.431567\pi\)
−0.374085 + 0.927395i \(0.622043\pi\)
\(240\) −127914. + 325920.i −0.143348 + 0.365244i
\(241\) −268.600 183.129i −0.000297896 0.000203102i 0.563171 0.826340i \(-0.309581\pi\)
−0.563469 + 0.826137i \(0.690534\pi\)
\(242\) 330848. 159328.i 0.363154 0.174886i
\(243\) 1.36769e6 1.26903e6i 1.48584 1.37866i
\(244\) −699382. 105415.i −0.752038 0.113352i
\(245\) 82400.3 + 1.09956e6i 0.0877028 + 1.17031i
\(246\) −230317. 586838.i −0.242654 0.618273i
\(247\) 74443.4 326158.i 0.0776397 0.340162i
\(248\) −36070.3 + 481324.i −0.0372409 + 0.496945i
\(249\) −2.03507e6 + 627736.i −2.08008 + 0.641621i
\(250\) −811625. 390858.i −0.821307 0.395521i
\(251\) −462077. 800342.i −0.462946 0.801846i 0.536160 0.844116i \(-0.319874\pi\)
−0.999106 + 0.0422702i \(0.986541\pi\)
\(252\) −378992. + 656433.i −0.375949 + 0.651162i
\(253\) −771726. + 526154.i −0.757987 + 0.516787i
\(254\) 68767.1 + 301288.i 0.0668800 + 0.293021i
\(255\) −3.51657e6 + 530037.i −3.38663 + 0.510453i
\(256\) −689525. + 864637.i −0.657582 + 0.824582i
\(257\) −673625. −0.636188 −0.318094 0.948059i \(-0.603043\pi\)
−0.318094 + 0.948059i \(0.603043\pi\)
\(258\) −415268. + 1.24901e6i −0.388400 + 1.16820i
\(259\) 175439. 0.162508
\(260\) −775510. + 972459.i −0.711466 + 0.892150i
\(261\) 1.37730e6 207595.i 1.25149 0.188632i
\(262\) −9894.44 43350.4i −0.00890508 0.0390157i
\(263\) 32753.1 22330.7i 0.0291987 0.0199073i −0.548633 0.836063i \(-0.684851\pi\)
0.577831 + 0.816156i \(0.303899\pi\)
\(264\) 1.37903e6 2.38856e6i 1.21777 2.10924i
\(265\) 1.26599e6 + 2.19276e6i 1.10743 + 1.91813i
\(266\) −108789. 52389.9i −0.0942714 0.0453987i
\(267\) 3.35201e6 1.03396e6i 2.87758 0.887615i
\(268\) 37652.0 502430.i 0.0320222 0.427306i
\(269\) 400334. 1.75398e6i 0.337320 1.47789i −0.467298 0.884100i \(-0.654772\pi\)
0.804618 0.593793i \(-0.202370\pi\)
\(270\) −1.30824e6 3.33333e6i −1.09214 2.78272i
\(271\) −107325. 1.43216e6i −0.0887727 1.18459i −0.846635 0.532174i \(-0.821375\pi\)
0.757862 0.652415i \(-0.226244\pi\)
\(272\) 166904. + 25156.8i 0.136787 + 0.0206174i
\(273\) 1.11535e6 1.03489e6i 0.905738 0.840402i
\(274\) −1.35633e6 + 653175.i −1.09141 + 0.525598i
\(275\) 2.38964e6 + 1.62923e6i 1.90546 + 1.29912i
\(276\) −347906. + 886450.i −0.274909 + 0.700457i
\(277\) 1.18859e6 + 366630.i 0.930746 + 0.287097i 0.722811 0.691045i \(-0.242850\pi\)
0.207935 + 0.978143i \(0.433326\pi\)
\(278\) −413559. 383727.i −0.320941 0.297790i
\(279\) −955166. 1.19774e6i −0.734629 0.921196i
\(280\) 779512. + 977478.i 0.594194 + 0.745095i
\(281\) 603955. + 560389.i 0.456288 + 0.423373i 0.874537 0.484959i \(-0.161166\pi\)
−0.418249 + 0.908332i \(0.637356\pi\)
\(282\) 1.22599e6 + 378168.i 0.918047 + 0.283180i
\(283\) −104237. + 265591.i −0.0773669 + 0.197128i −0.964324 0.264723i \(-0.914719\pi\)
0.886957 + 0.461851i \(0.152815\pi\)
\(284\) −815399. 555930.i −0.599894 0.409001i
\(285\) −1.10744e6 + 533317.i −0.807625 + 0.388932i
\(286\) −1.03442e6 + 959798.i −0.747791 + 0.693849i
\(287\) −408415. 61558.6i −0.292682 0.0441148i
\(288\) −244767. 3.26619e6i −0.173889 2.32039i
\(289\) 107624. + 274221.i 0.0757990 + 0.193133i
\(290\) 183568. 804262.i 0.128174 0.561568i
\(291\) 200472. 2.67512e6i 0.138778 1.85187i
\(292\) −42457.7 + 13096.5i −0.0291407 + 0.00898871i
\(293\) −1.19965e6 577722.i −0.816368 0.393142i −0.0213832 0.999771i \(-0.506807\pi\)
−0.794985 + 0.606629i \(0.792521\pi\)
\(294\) 637693. + 1.10452e6i 0.430272 + 0.745253i
\(295\) −454103. + 786529.i −0.303808 + 0.526211i
\(296\) −381715. + 260249.i −0.253227 + 0.172647i
\(297\) 1.15166e6 + 5.04573e6i 0.757585 + 3.31920i
\(298\) 1.81555e6 273650.i 1.18431 0.178507i
\(299\) 845990. 1.06084e6i 0.547252 0.686232i
\(300\) 2.94871e6 1.89160
\(301\) 572644. + 644776.i 0.364308 + 0.410197i
\(302\) 1.51577e6 0.956346
\(303\) −2.42858e6 + 3.04534e6i −1.51966 + 1.90559i
\(304\) 57687.7 8695.03i 0.0358014 0.00539619i
\(305\) −823934. 3.60989e6i −0.507158 2.22200i
\(306\) −2.41251e6 + 1.64482e6i −1.47287 + 1.00419i
\(307\) −836877. + 1.44951e6i −0.506775 + 0.877761i 0.493194 + 0.869919i \(0.335829\pi\)
−0.999969 + 0.00784140i \(0.997504\pi\)
\(308\) −324422. 561916.i −0.194865 0.337516i
\(309\) −221622. 106727.i −0.132043 0.0635886i
\(310\) −867023. + 267441.i −0.512420 + 0.158061i
\(311\) −29073.0 + 387952.i −0.0170447 + 0.227446i 0.982176 + 0.187965i \(0.0601893\pi\)
−0.999220 + 0.0394802i \(0.987430\pi\)
\(312\) −891567. + 3.90621e6i −0.518522 + 2.27180i
\(313\) 481786. + 1.22757e6i 0.277967 + 0.708248i 0.999868 + 0.0162520i \(0.00517340\pi\)
−0.721901 + 0.691996i \(0.756731\pi\)
\(314\) −98747.4 1.31769e6i −0.0565199 0.754206i
\(315\) −3.92384e6 591424.i −2.22810 0.335832i
\(316\) −303054. + 281193.i −0.170727 + 0.158411i
\(317\) −965499. + 464960.i −0.539639 + 0.259877i −0.683790 0.729679i \(-0.739669\pi\)
0.144150 + 0.989556i \(0.453955\pi\)
\(318\) 2.41978e6 + 1.64978e6i 1.34186 + 0.914865i
\(319\) −435599. + 1.10989e6i −0.239668 + 0.610665i
\(320\) −2.22365e6 685907.i −1.21393 0.374447i
\(321\) −461191. 427923.i −0.249815 0.231795i
\(322\) −305340. 382885.i −0.164114 0.205792i
\(323\) 369460. + 463288.i 0.197043 + 0.247084i
\(324\) 1.96966e6 + 1.82758e6i 1.04239 + 0.967194i
\(325\) −4.01484e6 1.23842e6i −2.10844 0.650366i
\(326\) −474478. + 1.20895e6i −0.247270 + 0.630034i
\(327\) 2.46982e6 + 1.68390e6i 1.27731 + 0.870856i
\(328\) 979936. 471912.i 0.502936 0.242201i
\(329\) 616184. 571736.i 0.313849 0.291209i
\(330\) 5.12672e6 + 772729.i 2.59152 + 0.390609i
\(331\) −107338. 1.43232e6i −0.0538497 0.718574i −0.957155 0.289576i \(-0.906486\pi\)
0.903305 0.428998i \(-0.141133\pi\)
\(332\) −482012. 1.22815e6i −0.240001 0.611512i
\(333\) 326287. 1.42956e6i 0.161246 0.706466i
\(334\) −24440.9 + 326142.i −0.0119881 + 0.159971i
\(335\) 2.52049e6 777468.i 1.22708 0.378504i
\(336\) 239051. + 115121.i 0.115516 + 0.0556296i
\(337\) −282403. 489136.i −0.135455 0.234614i 0.790316 0.612699i \(-0.209916\pi\)
−0.925771 + 0.378085i \(0.876583\pi\)
\(338\) 328548. 569062.i 0.156425 0.270937i
\(339\) −1.94953e6 + 1.32917e6i −0.921362 + 0.628174i
\(340\) −490243. 2.14790e6i −0.229993 1.00766i
\(341\) 1.29674e6 195452.i 0.603902 0.0910235i
\(342\) −629228. + 789027.i −0.290899 + 0.364776i
\(343\) 2.03097e6 0.932112
\(344\) −2.20242e6 553416.i −1.00347 0.252148i
\(345\) −4.98532e6 −2.25499
\(346\) 906195. 1.13633e6i 0.406941 0.510288i
\(347\) −1.57123e6 + 236825.i −0.700514 + 0.105586i −0.489636 0.871927i \(-0.662870\pi\)
−0.210878 + 0.977512i \(0.567632\pi\)
\(348\) 270499. + 1.18513e6i 0.119734 + 0.524589i
\(349\) −1.56268e6 + 1.06542e6i −0.686762 + 0.468227i −0.855749 0.517392i \(-0.826903\pi\)
0.168986 + 0.985618i \(0.445951\pi\)
\(350\) −758218. + 1.31327e6i −0.330844 + 0.573039i
\(351\) −3.75924e6 6.51119e6i −1.62867 2.82093i
\(352\) 2.52609e6 + 1.21650e6i 1.08665 + 0.523305i
\(353\) 2.67330e6 824605.i 1.14186 0.352216i 0.334567 0.942372i \(-0.391410\pi\)
0.807289 + 0.590156i \(0.200934\pi\)
\(354\) −78503.3 + 1.04755e6i −0.0332951 + 0.444292i
\(355\) 1.14965e6 5.03693e6i 0.484165 2.12127i
\(356\) 793933. + 2.02291e6i 0.332016 + 0.845963i
\(357\) 201397. + 2.68746e6i 0.0836339 + 1.11602i
\(358\) 1.24606e6 + 187813.i 0.513842 + 0.0774492i
\(359\) −875699. + 812530.i −0.358607 + 0.332739i −0.838816 0.544416i \(-0.816751\pi\)
0.480209 + 0.877154i \(0.340561\pi\)
\(360\) 9.41472e6 4.53389e6i 3.82870 1.84380i
\(361\) −1.87663e6 1.27946e6i −0.757896 0.516725i
\(362\) −482739. + 1.23000e6i −0.193616 + 0.493325i
\(363\) −2.70696e6 834986.i −1.07824 0.332593i
\(364\) 690961. + 641118.i 0.273338 + 0.253621i
\(365\) −145028. 181859.i −0.0569796 0.0714502i
\(366\) −2.67030e6 3.34845e6i −1.04197 1.30659i
\(367\) −191028. 177248.i −0.0740340 0.0686935i 0.642288 0.766463i \(-0.277985\pi\)
−0.716322 + 0.697770i \(0.754176\pi\)
\(368\) 226103. + 69743.5i 0.0870335 + 0.0268463i
\(369\) −1.26119e6 + 3.21347e6i −0.482188 + 1.22859i
\(370\) −717549. 489217.i −0.272488 0.185779i
\(371\) 1.72875e6 832521.i 0.652074 0.314022i
\(372\) 980101. 909401.i 0.367209 0.340720i
\(373\) 1.23253e6 + 185775.i 0.458698 + 0.0691376i 0.374327 0.927297i \(-0.377874\pi\)
0.0843711 + 0.996434i \(0.473112\pi\)
\(374\) −186784. 2.49246e6i −0.0690494 0.921401i
\(375\) 2.53888e6 + 6.46897e6i 0.932320 + 2.37551i
\(376\) −492556. + 2.15803e6i −0.179674 + 0.787204i
\(377\) 129438. 1.72723e6i 0.0469039 0.625889i
\(378\) −2.59306e6 + 799853.i −0.933433 + 0.287926i
\(379\) −3.86056e6 1.85915e6i −1.38055 0.664838i −0.411434 0.911440i \(-0.634972\pi\)
−0.969117 + 0.246601i \(0.920686\pi\)
\(380\) −380738. 659458.i −0.135259 0.234276i
\(381\) 1.19201e6 2.06462e6i 0.420694 0.728663i
\(382\) 2.62210e6 1.78771e6i 0.919370 0.626816i
\(383\) 379178. + 1.66129e6i 0.132083 + 0.578692i 0.997043 + 0.0768513i \(0.0244867\pi\)
−0.864960 + 0.501841i \(0.832656\pi\)
\(384\) 2.38380e6 359300.i 0.824977 0.124345i
\(385\) 2.11787e6 2.65572e6i 0.728195 0.913127i
\(386\) 1.47965e6 0.505465
\(387\) 6.31897e6 3.46700e6i 2.14471 1.17673i
\(388\) 1.66189e6 0.560433
\(389\) 2.84754e6 3.57070e6i 0.954105 1.19641i −0.0263479 0.999653i \(-0.508388\pi\)
0.980452 0.196756i \(-0.0630408\pi\)
\(390\) −7.44763e6 + 1.12255e6i −2.47946 + 0.373718i
\(391\) 534798. + 2.34310e6i 0.176908 + 0.775085i
\(392\) −1.81806e6 + 1.23953e6i −0.597576 + 0.407420i
\(393\) −171510. + 297064.i −0.0560154 + 0.0970216i
\(394\) 1.07369e6 + 1.85968e6i 0.348448 + 0.603530i
\(395\) −1.94995e6 939048.i −0.628827 0.302827i
\(396\) −5.18213e6 + 1.59848e6i −1.66062 + 0.512234i
\(397\) −14649.4 + 195482.i −0.00466491 + 0.0622488i −0.999050 0.0435693i \(-0.986127\pi\)
0.994386 + 0.105818i \(0.0337461\pi\)
\(398\) 186942. 819046.i 0.0591561 0.259180i
\(399\) 340307. + 867089.i 0.107014 + 0.272666i
\(400\) −54752.8 730626.i −0.0171103 0.228321i
\(401\) −3.90219e6 588161.i −1.21185 0.182657i −0.488141 0.872765i \(-0.662325\pi\)
−0.723706 + 0.690108i \(0.757563\pi\)
\(402\) 2.23648e6 2.07515e6i 0.690239 0.640448i
\(403\) −1.71640e6 + 826574.i −0.526448 + 0.253524i
\(404\) −1.99376e6 1.35932e6i −0.607742 0.414351i
\(405\) −5.13907e6 + 1.30941e7i −1.55685 + 3.96679i
\(406\) −597379. 184267.i −0.179860 0.0554795i
\(407\) 920120. + 853747.i 0.275333 + 0.255472i
\(408\) −4.42482e6 5.54855e6i −1.31597 1.65017i
\(409\) 1.91844e6 + 2.40565e6i 0.567075 + 0.711090i 0.979848 0.199744i \(-0.0640111\pi\)
−0.412773 + 0.910834i \(0.635440\pi\)
\(410\) 1.49877e6 + 1.39066e6i 0.440327 + 0.408564i
\(411\) 1.10973e7 + 3.42308e6i 3.24052 + 0.999567i
\(412\) 55673.0 141853.i 0.0161585 0.0411713i
\(413\) 568657. + 387704.i 0.164050 + 0.111847i
\(414\) −3.68781e6 + 1.77596e6i −1.05747 + 0.509251i
\(415\) 5.06318e6 4.69795e6i 1.44312 1.33902i
\(416\) −4.02753e6 607052.i −1.14105 0.171986i
\(417\) 325235. + 4.33996e6i 0.0915919 + 1.22221i
\(418\) −315615. 804174.i −0.0883521 0.225117i
\(419\) −1.26772e6 + 5.55426e6i −0.352769 + 1.54558i 0.417989 + 0.908452i \(0.362735\pi\)
−0.770758 + 0.637128i \(0.780122\pi\)
\(420\) 258804. 3.45350e6i 0.0715893 0.955293i
\(421\) −3.43357e6 + 1.05912e6i −0.944150 + 0.291232i −0.728349 0.685206i \(-0.759712\pi\)
−0.215800 + 0.976438i \(0.569236\pi\)
\(422\) −1.26301e6 608236.i −0.345245 0.166261i
\(423\) −3.51277e6 6.08430e6i −0.954551 1.65333i
\(424\) −2.52639e6 + 4.37584e6i −0.682474 + 1.18208i
\(425\) 6.14884e6 4.19221e6i 1.65128 1.12582i
\(426\) −1.32976e6 5.82606e6i −0.355017 1.55543i
\(427\) −2.77463e6 + 418208.i −0.736436 + 0.111000i
\(428\) 243008. 304722.i 0.0641225 0.0804071i
\(429\) 1.08858e7 2.85572
\(430\) −544153. 4.23399e6i −0.141922 1.10428i
\(431\) 7.36235e6 1.90908 0.954538 0.298089i \(-0.0963493\pi\)
0.954538 + 0.298089i \(0.0963493\pi\)
\(432\) 817458. 1.02506e6i 0.210744 0.264265i
\(433\) 939790. 141651.i 0.240886 0.0363077i −0.0274897 0.999622i \(-0.508751\pi\)
0.268375 + 0.963314i \(0.413513\pi\)
\(434\) 153002. + 670347.i 0.0389919 + 0.170835i
\(435\) −5.25811e6 + 3.58492e6i −1.33231 + 0.908356i
\(436\) −925922. + 1.60374e6i −0.233270 + 0.404035i
\(437\) 415340. + 719391.i 0.104040 + 0.180203i
\(438\) −242404. 116736.i −0.0603747 0.0290749i
\(439\) −1.23044e6 + 379541.i −0.304719 + 0.0939935i −0.443344 0.896352i \(-0.646208\pi\)
0.138625 + 0.990345i \(0.455732\pi\)
\(440\) −668458. + 8.91995e6i −0.164605 + 2.19650i
\(441\) 1.55406e6 6.80880e6i 0.380516 1.66715i
\(442\) 1.32654e6 + 3.37997e6i 0.322972 + 0.822919i
\(443\) −119866. 1.59950e6i −0.0290192 0.387234i −0.992736 0.120309i \(-0.961611\pi\)
0.963717 0.266925i \(-0.0860076\pi\)
\(444\) 1.26543e6 + 190733.i 0.304635 + 0.0459164i
\(445\) −8.33968e6 + 7.73809e6i −1.99641 + 1.85240i
\(446\) −1.54545e6 + 744249.i −0.367890 + 0.177166i
\(447\) −1.17028e7 7.97884e6i −2.77026 1.88873i
\(448\) −644263. + 1.64155e6i −0.151659 + 0.386421i
\(449\) 6.83319e6 + 2.10776e6i 1.59959 + 0.493407i 0.961094 0.276222i \(-0.0890824\pi\)
0.638492 + 0.769629i \(0.279559\pi\)
\(450\) 9.29101e6 + 8.62080e6i 2.16288 + 2.00686i
\(451\) −1.84244e6 2.31035e6i −0.426533 0.534855i
\(452\) −911376. 1.14283e6i −0.209822 0.263109i
\(453\) −8.57168e6 7.95335e6i −1.96255 1.82098i
\(454\) −227444. 70157.1i −0.0517886 0.0159747i
\(455\) −1.80280e6 + 4.59345e6i −0.408242 + 1.04018i
\(456\) −2.02669e6 1.38177e6i −0.456431 0.311189i
\(457\) −5.14580e6 + 2.47809e6i −1.15256 + 0.555043i −0.909801 0.415045i \(-0.863766\pi\)
−0.242757 + 0.970087i \(0.578052\pi\)
\(458\) −3.37793e6 + 3.13426e6i −0.752465 + 0.698186i
\(459\) 1.31685e7 + 1.98483e6i 2.91745 + 0.439734i
\(460\) −230798. 3.07979e6i −0.0508555 0.678620i
\(461\) −772643. 1.96866e6i −0.169327 0.431439i 0.820870 0.571115i \(-0.193489\pi\)
−0.990197 + 0.139677i \(0.955394\pi\)
\(462\) 874278. 3.83046e6i 0.190566 0.834922i
\(463\) −358881. + 4.78893e6i −0.0778033 + 1.03821i 0.812535 + 0.582912i \(0.198087\pi\)
−0.890338 + 0.455300i \(0.849532\pi\)
\(464\) 288627. 89029.7i 0.0622361 0.0191973i
\(465\) 6.30631e6 + 3.03696e6i 1.35252 + 0.651338i
\(466\) 2.30621e6 + 3.99448e6i 0.491965 + 0.852109i
\(467\) 661972. 1.14657e6i 0.140458 0.243281i −0.787211 0.616684i \(-0.788476\pi\)
0.927669 + 0.373403i \(0.121809\pi\)
\(468\) 6.50921e6 4.43791e6i 1.37377 0.936620i
\(469\) −444788. 1.94874e6i −0.0933729 0.409093i
\(470\) −4.11452e6 + 620164.i −0.859161 + 0.129498i
\(471\) −6.35563e6 + 7.96970e6i −1.32010 + 1.65535i
\(472\) −1.81240e6 −0.374454
\(473\) −134370. + 6.16834e6i −0.0276152 + 1.26770i
\(474\) −2.50336e6 −0.511773
\(475\) 1.60374e6 2.01102e6i 0.326136 0.408962i
\(476\) −1.65091e6 + 248835.i −0.333969 + 0.0503378i
\(477\) −3.56859e6 1.56350e7i −0.718126 3.14632i
\(478\) 460431. 313917.i 0.0921712 0.0628413i
\(479\) 1.67279e6 2.89735e6i 0.333121 0.576982i −0.650001 0.759933i \(-0.725232\pi\)
0.983122 + 0.182951i \(0.0585650\pi\)
\(480\) 7.48245e6 + 1.29600e7i 1.48231 + 2.56744i
\(481\) −1.64285e6 791155.i −0.323769 0.155919i
\(482\) 1165.33 359.455i 0.000228470 7.04737e-5i
\(483\) −282325. + 3.76736e6i −0.0550657 + 0.734801i
\(484\) 390511. 1.71094e6i 0.0757739 0.331987i
\(485\) 3.17856e6 + 8.09885e6i 0.613588 + 1.56340i
\(486\) 523035. + 6.97941e6i 0.100448 + 1.34038i
\(487\) 5.39785e6 + 813594.i 1.03133 + 0.155448i 0.642837 0.766003i \(-0.277757\pi\)
0.388494 + 0.921451i \(0.372995\pi\)
\(488\) 5.41659e6 5.02586e6i 1.02962 0.955346i
\(489\) 9.02663e6 4.34700e6i 1.70708 0.822086i
\(490\) −3.41760e6 2.33008e6i −0.643029 0.438410i
\(491\) −477073. + 1.21556e6i −0.0893061 + 0.227548i −0.968548 0.248828i \(-0.919955\pi\)
0.879242 + 0.476376i \(0.158050\pi\)
\(492\) −2.87895e6 888038.i −0.536193 0.165394i
\(493\) 2.24898e6 + 2.08674e6i 0.416742 + 0.386680i
\(494\) 782468. + 981184.i 0.144261 + 0.180898i
\(495\) −1.77012e7 2.21966e7i −3.24706 4.07169i
\(496\) −243528. 225961.i −0.0444473 0.0412410i
\(497\) −3.74126e6 1.15403e6i −0.679403 0.209568i
\(498\) 2.91874e6 7.43684e6i 0.527379 1.34374i
\(499\) 5.21329e6 + 3.55436e6i 0.937261 + 0.639013i 0.932575 0.360976i \(-0.117556\pi\)
0.00468527 + 0.999989i \(0.498509\pi\)
\(500\) −3.87881e6 + 1.86794e6i −0.693863 + 0.334147i
\(501\) 1.84951e6 1.71609e6i 0.329201 0.305454i
\(502\) 3.42806e6 + 516697.i 0.607141 + 0.0915118i
\(503\) 707686. + 9.44342e6i 0.124716 + 1.66421i 0.611915 + 0.790924i \(0.290399\pi\)
−0.487199 + 0.873291i \(0.661981\pi\)
\(504\) −2.89306e6 7.37139e6i −0.507319 1.29263i
\(505\) 2.81104e6 1.23160e7i 0.490500 2.14902i
\(506\) 261840. 3.49401e6i 0.0454631 0.606663i
\(507\) −4.84386e6 + 1.49413e6i −0.836896 + 0.258148i
\(508\) 1.33065e6 + 640806.i 0.228772 + 0.110171i
\(509\) 972850. + 1.68503e6i 0.166438 + 0.288278i 0.937165 0.348887i \(-0.113440\pi\)
−0.770727 + 0.637165i \(0.780107\pi\)
\(510\) 6.67035e6 1.15534e7i 1.13559 1.96691i
\(511\) −145643. + 99297.5i −0.0246738 + 0.0168223i
\(512\) −329971. 1.44570e6i −0.0556289 0.243726i
\(513\) 4.55146e6 686022.i 0.763584 0.115092i
\(514\) 1.57554e6 1.97567e6i 0.263040 0.329842i
\(515\) 797766. 0.132543
\(516\) 3.42947e6 + 5.27330e6i 0.567025 + 0.871883i
\(517\) 6.01396e6 0.989542
\(518\) −410333. + 514541.i −0.0671911 + 0.0842550i
\(519\) −1.10870e7 + 1.67109e6i −1.80674 + 0.272322i
\(520\) −2.89153e6 1.26686e7i −0.468942 2.05457i
\(521\) −6.33777e6 + 4.32102e6i −1.02292 + 0.697416i −0.953877 0.300197i \(-0.902947\pi\)
−0.0690446 + 0.997614i \(0.521995\pi\)
\(522\) −2.61252e6 + 4.52502e6i −0.419647 + 0.726850i
\(523\) −2.55139e6 4.41913e6i −0.407870 0.706452i 0.586781 0.809746i \(-0.300395\pi\)
−0.994651 + 0.103294i \(0.967062\pi\)
\(524\) −191458. 92201.2i −0.0304610 0.0146693i
\(525\) 1.11786e7 3.44813e6i 1.77006 0.545992i
\(526\) −11112.8 + 148290.i −0.00175130 + 0.0233695i
\(527\) 750866. 3.28976e6i 0.117770 0.515985i
\(528\) 693528. + 1.76708e6i 0.108263 + 0.275849i
\(529\) −229215. 3.05866e6i −0.0356126 0.475217i
\(530\) −9.39215e6 1.41564e6i −1.45236 0.218909i
\(531\) 4.21681e6 3.91262e6i 0.649004 0.602188i
\(532\) −519909. + 250375.i −0.0796431 + 0.0383541i
\(533\) 3.54689e6 + 2.41823e6i 0.540792 + 0.368705i
\(534\) −4.80753e6 + 1.22494e7i −0.729573 + 1.85892i
\(535\) 1.94977e6 + 601425.i 0.294510 + 0.0908442i
\(536\) 3.85856e6 + 3.58022e6i 0.580114 + 0.538267i
\(537\) −6.06099e6 7.60024e6i −0.907001 1.13734i
\(538\) 4.20787e6 + 5.27651e6i 0.626768 + 0.785943i
\(539\) 4.38241e6 + 4.06629e6i 0.649743 + 0.602873i
\(540\) −1.63529e7 5.04420e6i −2.41330 0.744403i
\(541\) −1.87662e6 + 4.78155e6i −0.275666 + 0.702386i 0.724251 + 0.689536i \(0.242186\pi\)
−0.999917 + 0.0128497i \(0.995910\pi\)
\(542\) 4.45138e6 + 3.03490e6i 0.650873 + 0.443758i
\(543\) 9.18380e6 4.42268e6i 1.33667 0.643704i
\(544\) 5.28852e6 4.90703e6i 0.766191 0.710921i
\(545\) −9.58641e6 1.44492e6i −1.38250 0.208378i
\(546\) 426533. + 5.69168e6i 0.0612309 + 0.817070i
\(547\) 2.32432e6 + 5.92226e6i 0.332145 + 0.846290i 0.995213 + 0.0977315i \(0.0311587\pi\)
−0.663068 + 0.748559i \(0.730746\pi\)
\(548\) −1.60092e6 + 7.01410e6i −0.227729 + 0.997747i
\(549\) −1.75260e6 + 2.33868e7i −0.248171 + 3.31161i
\(550\) −1.03675e7 + 3.19794e6i −1.46139 + 0.450779i
\(551\) 955378. + 460086.i 0.134059 + 0.0645595i
\(552\) −4.97430e6 8.61575e6i −0.694840 1.20350i
\(553\) −820059. + 1.42038e6i −0.114033 + 0.197512i
\(554\) −3.85527e6 + 2.62848e6i −0.533679 + 0.363856i
\(555\) 1.49079e6 + 6.53157e6i 0.205439 + 0.900088i
\(556\) −2.66605e6 + 401842.i −0.365747 + 0.0551275i
\(557\) 954224. 1.19656e6i 0.130320 0.163417i −0.712390 0.701784i \(-0.752387\pi\)
0.842710 + 0.538367i \(0.180959\pi\)
\(558\) 5.74687e6 0.781351
\(559\) −2.45471e6 8.62023e6i −0.332255 1.16678i
\(560\) −860507. −0.115954
\(561\) −1.20219e7 + 1.50749e7i −1.61274 + 2.02231i
\(562\) −3.05615e6 + 460640.i −0.408163 + 0.0615206i
\(563\) 1.16369e6 + 5.09844e6i 0.154726 + 0.677901i 0.991473 + 0.130311i \(0.0415975\pi\)
−0.836747 + 0.547590i \(0.815545\pi\)
\(564\) 5.06608e6 3.45400e6i 0.670617 0.457219i
\(565\) 3.82620e6 6.62717e6i 0.504251 0.873388i
\(566\) −535149. 926906.i −0.0702157 0.121617i
\(567\) 9.60410e6 + 4.62509e6i 1.25458 + 0.604175i
\(568\) 9.85206e6 3.03896e6i 1.28132 0.395234i
\(569\) 885055. 1.18102e7i 0.114601 1.52925i −0.582828 0.812595i \(-0.698054\pi\)
0.697430 0.716653i \(-0.254327\pi\)
\(570\) 1.02604e6 4.49538e6i 0.132275 0.579535i
\(571\) −1.76568e6 4.49888e6i −0.226632 0.577450i 0.771649 0.636048i \(-0.219432\pi\)
−0.998282 + 0.0585986i \(0.981337\pi\)
\(572\) 503964. + 6.72493e6i 0.0644034 + 0.859404i
\(573\) −2.42083e7 3.64881e6i −3.08019 0.464264i
\(574\) 1.13579e6 1.05385e6i 0.143885 0.133506i
\(575\) 9.39926e6 4.52645e6i 1.18556 0.570936i
\(576\) 1.21780e7 + 8.30279e6i 1.52939 + 1.04272i
\(577\) 1.54236e6 3.92986e6i 0.192861 0.491403i −0.801432 0.598086i \(-0.795928\pi\)
0.994293 + 0.106684i \(0.0340232\pi\)
\(578\) −1.05598e6 325727.i −0.131473 0.0405540i
\(579\) −8.36744e6 7.76385e6i −1.03728 0.962456i
\(580\) −2.45809e6 3.08235e6i −0.303408 0.380462i
\(581\) −3.26347e6 4.09226e6i −0.401087 0.502947i
\(582\) 7.37693e6 + 6.84479e6i 0.902752 + 0.837631i
\(583\) 1.31181e7 + 4.04639e6i 1.59845 + 0.493057i
\(584\) 169586. 432098.i 0.0205759 0.0524264i
\(585\) 3.40767e7 + 2.32331e7i 4.11688 + 2.80684i
\(586\) 4.50026e6 2.16721e6i 0.541369 0.260709i
\(587\) −9.71465e6 + 9.01388e6i −1.16368 + 1.07973i −0.168100 + 0.985770i \(0.553763\pi\)
−0.995576 + 0.0939632i \(0.970046\pi\)
\(588\) 6.02708e6 + 908436.i 0.718892 + 0.108355i
\(589\) −87157.0 1.16303e6i −0.0103518 0.138135i
\(590\) −1.24470e6 3.17144e6i −0.147209 0.375083i
\(591\) 3.68619e6 1.61503e7i 0.434120 1.90200i
\(592\) 23762.4 317087.i 0.00278667 0.0371855i
\(593\) −1.06201e7 + 3.27586e6i −1.24020 + 0.382550i −0.844363 0.535772i \(-0.820021\pi\)
−0.395834 + 0.918322i \(0.629544\pi\)
\(594\) −1.74922e7 8.42378e6i −2.03412 0.979583i
\(595\) −4.37020e6 7.56940e6i −0.506068 0.876535i
\(596\) 4.38731e6 7.59905e6i 0.505921 0.876281i
\(597\) −5.35476e6 + 3.65082e6i −0.614900 + 0.419232i
\(598\) 1.13263e6 + 4.96238e6i 0.129520 + 0.567463i
\(599\) 1.21545e7 1.83200e6i 1.38411 0.208621i 0.585599 0.810601i \(-0.300859\pi\)
0.798511 + 0.601980i \(0.205621\pi\)
\(600\) −1.92071e7 + 2.40849e7i −2.17812 + 2.73128i
\(601\) −5.49997e6 −0.621118 −0.310559 0.950554i \(-0.600516\pi\)
−0.310559 + 0.950554i \(0.600516\pi\)
\(602\) −3.23041e6 + 171435.i −0.363301 + 0.0192801i
\(603\) −1.67065e7 −1.87108
\(604\) 4.51653e6 5.66355e6i 0.503747 0.631679i
\(605\) 9.08476e6 1.36931e6i 1.00908 0.152094i
\(606\) −3.25144e6 1.42455e7i −0.359662 1.57578i
\(607\) −2.66103e6 + 1.81426e6i −0.293142 + 0.199861i −0.700957 0.713204i \(-0.747243\pi\)
0.407815 + 0.913065i \(0.366291\pi\)
\(608\) 1.24677e6 2.15946e6i 0.136781 0.236912i
\(609\) 2.41132e6 + 4.17653e6i 0.263458 + 0.456323i
\(610\) 1.25145e7 + 6.02667e6i 1.36172 + 0.655772i
\(611\) −8.34839e6 + 2.57514e6i −0.904690 + 0.279060i
\(612\) −1.04280e6 + 1.39152e7i −0.112544 + 1.50180i
\(613\) −2.63826e6 + 1.15590e7i −0.283574 + 1.24242i 0.609601 + 0.792709i \(0.291330\pi\)
−0.893175 + 0.449710i \(0.851527\pi\)
\(614\) −2.29389e6 5.84473e6i −0.245556 0.625667i
\(615\) −1.17868e6 1.57284e7i −0.125663 1.67686i
\(616\) 6.70288e6 + 1.01030e6i 0.711721 + 0.107275i
\(617\) 8.93615e6 8.29153e6i 0.945012 0.876843i −0.0475145 0.998871i \(-0.515130\pi\)
0.992527 + 0.122027i \(0.0389396\pi\)
\(618\) 831370. 400367.i 0.0875635 0.0421683i
\(619\) −1.34031e7 9.13806e6i −1.40597 0.958577i −0.998980 0.0451469i \(-0.985624\pi\)
−0.406995 0.913431i \(-0.633423\pi\)
\(620\) −1.58419e6 + 4.03646e6i −0.165512 + 0.421717i
\(621\) 1.78391e7 + 5.50263e6i 1.85628 + 0.572587i
\(622\) −1.06982e6 992649.i −0.110875 0.102877i
\(623\) 5.37533e6 + 6.74045e6i 0.554862 + 0.695775i
\(624\) −1.71939e6 2.15604e6i −0.176771 0.221664i
\(625\) −3.50162e6 3.24902e6i −0.358565 0.332700i
\(626\) −4.72717e6 1.45814e6i −0.482132 0.148718i
\(627\) −2.43476e6 + 6.20367e6i −0.247336 + 0.630202i
\(628\) −5.21770e6 3.55737e6i −0.527934 0.359939i
\(629\) 2.90992e6 1.40134e6i 0.293261 0.141227i
\(630\) 1.09120e7 1.01249e7i 1.09535 1.01634i
\(631\) 2.72740e6 + 411089.i 0.272694 + 0.0411020i 0.283965 0.958835i \(-0.408350\pi\)
−0.0112718 + 0.999936i \(0.503588\pi\)
\(632\) −322760. 4.30693e6i −0.0321430 0.428919i
\(633\) 3.95090e6 + 1.00667e7i 0.391910 + 0.998571i
\(634\) 894530. 3.91919e6i 0.0883836 0.387234i
\(635\) −577800. + 7.71021e6i −0.0568648 + 0.758808i
\(636\) 1.33745e7 4.12548e6i 1.31109 0.404419i
\(637\) −7.82468e6 3.76817e6i −0.764044 0.367944i
\(638\) −2.23636e6 3.87348e6i −0.217515 0.376747i
\(639\) −1.63617e7 + 2.83393e7i −1.58517 + 2.74560i
\(640\) −6.45992e6 + 4.40430e6i −0.623415 + 0.425037i
\(641\) 390553. + 1.71112e6i 0.0375435 + 0.164489i 0.990224 0.139483i \(-0.0445442\pi\)
−0.952681 + 0.303972i \(0.901687\pi\)
\(642\) 2.33373e6 351753.i 0.223467 0.0336822i
\(643\) 144286. 180928.i 0.0137624 0.0172576i −0.774903 0.632081i \(-0.782201\pi\)
0.788665 + 0.614823i \(0.210773\pi\)
\(644\) −2.34044e6 −0.222374
\(645\) −1.91389e7 + 2.67985e7i −1.81142 + 2.53636i
\(646\) −2.22290e6 −0.209575
\(647\) 7.52280e6 9.43329e6i 0.706511 0.885937i −0.290980 0.956729i \(-0.593981\pi\)
0.997491 + 0.0707925i \(0.0225528\pi\)
\(648\) −2.77573e7 + 4.18374e6i −2.59681 + 0.391406i
\(649\) 1.09572e6 + 4.80067e6i 0.102115 + 0.447394i
\(650\) 1.30224e7 8.87855e6i 1.20895 0.824250i
\(651\) 2.65214e6 4.59364e6i 0.245270 0.424819i
\(652\) 3.10335e6 + 5.37515e6i 0.285898 + 0.495190i
\(653\) −2.05508e6 989676.i −0.188602 0.0908260i 0.337200 0.941433i \(-0.390520\pi\)
−0.525802 + 0.850607i \(0.676235\pi\)
\(654\) −1.07153e7 + 3.30525e6i −0.979630 + 0.302176i
\(655\) 83135.8 1.10937e6i 0.00757155 0.101035i
\(656\) −166579. + 729829.i −0.0151133 + 0.0662158i
\(657\) 538252. + 1.37144e6i 0.0486488 + 0.123955i
\(658\) 235642. + 3.14443e6i 0.0212172 + 0.283124i
\(659\) −1.87399e7 2.82459e6i −1.68095 0.253362i −0.761954 0.647631i \(-0.775760\pi\)
−0.918995 + 0.394269i \(0.870998\pi\)
\(660\) 1.81633e7 1.68531e7i 1.62306 1.50598i
\(661\) 1.40640e7 6.77286e6i 1.25200 0.602932i 0.313953 0.949438i \(-0.398346\pi\)
0.938048 + 0.346507i \(0.112632\pi\)
\(662\) 4.45190e6 + 3.03525e6i 0.394821 + 0.269184i
\(663\) 1.02334e7 2.60742e7i 0.904139 2.30371i
\(664\) 1.31711e7 + 4.06275e6i 1.15932 + 0.357602i
\(665\) −2.21453e6 2.05478e6i −0.194190 0.180182i
\(666\) 3.42958e6 + 4.30055e6i 0.299609 + 0.375698i
\(667\) 2.68149e6 + 3.36248e6i 0.233378 + 0.292647i
\(668\) 1.14578e6 + 1.06313e6i 0.0993479 + 0.0921814i
\(669\) 1.26447e7 + 3.90036e6i 1.09230 + 0.336930i
\(670\) −3.61495e6 + 9.21073e6i −0.311111 + 0.792697i
\(671\) −1.65872e7 1.13090e7i −1.42222 0.969653i
\(672\) 1.02175e7 4.92048e6i 0.872813 0.420324i
\(673\) −1.04384e7 + 9.68538e6i −0.888371 + 0.824288i −0.985270 0.171006i \(-0.945298\pi\)
0.0968987 + 0.995294i \(0.469108\pi\)
\(674\) 2.09509e6 + 315784.i 0.177645 + 0.0267757i
\(675\) −4.31990e6 5.76450e7i −0.364934 4.86970i
\(676\) −1.14728e6 2.92323e6i −0.0965615 0.246035i
\(677\) −309143. + 1.35444e6i −0.0259231 + 0.113577i −0.986234 0.165355i \(-0.947123\pi\)
0.960311 + 0.278931i \(0.0899802\pi\)
\(678\) 661457. 8.82653e6i 0.0552621 0.737422i
\(679\) 6.30024e6 1.94337e6i 0.524424 0.161763i
\(680\) 2.07372e7 + 9.98649e6i 1.71980 + 0.828211i
\(681\) 918077. + 1.59016e6i 0.0758597 + 0.131393i
\(682\) −2.45970e6 + 4.26033e6i −0.202498 + 0.350737i
\(683\) 1.83850e7 1.25347e7i 1.50803 1.02816i 0.523688 0.851910i \(-0.324556\pi\)
0.984345 0.176250i \(-0.0563967\pi\)
\(684\) 1.07323e6 + 4.70212e6i 0.0877106 + 0.384285i
\(685\) −3.72435e7 + 5.61356e6i −3.03266 + 0.457100i
\(686\) −4.75023e6 + 5.95661e6i −0.385394 + 0.483269i
\(687\) 3.55479e7 2.87357
\(688\) 1.24293e6 947663.i 0.100109 0.0763278i
\(689\) −1.99427e7 −1.60043
\(690\) 1.16602e7 1.46214e7i 0.932355 1.16914i
\(691\) −3.47206e6 + 523328.i −0.276625 + 0.0416945i −0.285890 0.958263i \(-0.592289\pi\)
0.00926447 + 0.999957i \(0.497051\pi\)
\(692\) −1.54563e6 6.77186e6i −0.122699 0.537579i
\(693\) −1.77763e7 + 1.21197e7i −1.40607 + 0.958643i
\(694\) 2.98037e6 5.16216e6i 0.234894 0.406849i
\(695\) −7.05741e6 1.22238e7i −0.554221 0.959940i
\(696\) −1.14420e7 5.51019e6i −0.895324 0.431165i
\(697\) −7.26590e6 + 2.24123e6i −0.566509 + 0.174745i
\(698\) 530203. 7.07507e6i 0.0411911 0.549657i
\(699\) 7.91770e6 3.46897e7i 0.612923 2.68539i
\(700\) 2.64768e6 + 6.74618e6i 0.204230 + 0.520371i
\(701\) −145886. 1.94671e6i −0.0112129 0.149626i −1.00000 0.000293278i \(-0.999907\pi\)
0.988787 0.149332i \(-0.0477124\pi\)
\(702\) 2.78891e7 + 4.20360e6i 2.13595 + 0.321943i
\(703\) 818316. 759287.i 0.0624501 0.0579452i
\(704\) −1.13673e7 + 5.47423e6i −0.864425 + 0.416285i
\(705\) 2.65217e7 + 1.80822e7i 2.00969 + 1.37018i
\(706\) −3.83411e6 + 9.76916e6i −0.289503 + 0.737642i
\(707\) −9.14789e6 2.82175e6i −0.688292 0.212310i
\(708\) 3.68019e6 + 3.41472e6i 0.275923 + 0.256019i
\(709\) 5.52077e6 + 6.92283e6i 0.412462 + 0.517212i 0.944055 0.329789i \(-0.106978\pi\)
−0.531592 + 0.847000i \(0.678406\pi\)
\(710\) 1.20838e7 + 1.51527e7i 0.899621 + 1.12809i
\(711\) 1.00488e7 + 9.32392e6i 0.745487 + 0.691711i
\(712\) −2.16944e7 6.69184e6i −1.60379 0.494704i
\(713\) 1.72817e6 4.40330e6i 0.127310 0.324380i
\(714\) −8.35305e6 5.69502e6i −0.613197 0.418070i
\(715\) −3.18085e7 + 1.53181e7i −2.32690 + 1.12058i
\(716\) 4.41462e6 4.09617e6i 0.321818 0.298604i
\(717\) −4.25089e6 640719.i −0.308804 0.0465446i
\(718\) −334887. 4.46875e6i −0.0242430 0.323501i
\(719\) 2.85658e6 + 7.27845e6i 0.206075 + 0.525070i 0.996123 0.0879753i \(-0.0280397\pi\)
−0.790048 + 0.613045i \(0.789944\pi\)
\(720\) −1.60040e6 + 7.01182e6i −0.115053 + 0.504080i
\(721\) 45178.5 602866.i 0.00323664 0.0431899i
\(722\) 8.14176e6 2.51140e6i 0.581266 0.179297i
\(723\) −8476.02 4081.84i −0.000603040 0.000290409i
\(724\) 3.15738e6 + 5.46874e6i 0.223862 + 0.387740i
\(725\) 6.65863e6 1.15331e7i 0.470479 0.814893i
\(726\) 8.78022e6 5.98625e6i 0.618250 0.421516i
\(727\) 5.96261e6 + 2.61239e7i 0.418408 + 1.83317i 0.541409 + 0.840760i \(0.317891\pi\)
−0.123000 + 0.992407i \(0.539252\pi\)
\(728\) −9.73732e6 + 1.46767e6i −0.680944 + 0.102636i
\(729\) 1.09564e7 1.37389e7i 0.763570 0.957487i
\(730\) 872578. 0.0606034
\(731\) 1.46484e7 + 6.12051e6i 1.01391 + 0.423637i
\(732\) −2.04679e7 −1.41187
\(733\) 4.78250e6 5.99707e6i 0.328772 0.412267i −0.589782 0.807563i \(-0.700786\pi\)
0.918554 + 0.395295i \(0.129358\pi\)
\(734\) 966642. 145698.i 0.0662255 0.00998189i
\(735\) 7.10043e6 + 3.11090e7i 0.484804 + 2.12407i
\(736\) 8.35605e6 5.69706e6i 0.568600 0.387665i
\(737\) 7.15051e6 1.23850e7i 0.484918 0.839902i
\(738\) −6.47494e6 1.12149e7i −0.437618 0.757976i
\(739\) −2.24533e7 1.08129e7i −1.51241 0.728337i −0.520329 0.853966i \(-0.674191\pi\)
−0.992077 + 0.125629i \(0.959905\pi\)
\(740\) −3.96600e6 + 1.22335e6i −0.266240 + 0.0821242i
\(741\) 723488. 9.65428e6i 0.0484045 0.645914i
\(742\) −1.60168e6 + 7.01740e6i −0.106798 + 0.467915i
\(743\) 2.85250e6 + 7.26804e6i 0.189563 + 0.482998i 0.993783 0.111333i \(-0.0355121\pi\)
−0.804220 + 0.594331i \(0.797417\pi\)
\(744\) 1.04383e6 + 1.39290e7i 0.0691350 + 0.922543i
\(745\) 4.54234e7 + 6.84648e6i 2.99840 + 0.451936i
\(746\) −3.42763e6 + 3.18037e6i −0.225500 + 0.209234i
\(747\) −3.94152e7 + 1.89814e7i −2.58441 + 1.24459i
\(748\) −9.86943e6 6.72887e6i −0.644968 0.439732i
\(749\) 564910. 1.43937e6i 0.0367938 0.0937491i
\(750\) −2.49110e7 7.68401e6i −1.61710 0.498810i
\(751\) 1.80500e7 + 1.67480e7i 1.16782 + 1.08358i 0.995126 + 0.0986076i \(0.0314389\pi\)
0.172698 + 0.984975i \(0.444752\pi\)
\(752\) −949893. 1.19113e6i −0.0612534 0.0768093i
\(753\) −1.66746e7 2.09093e7i −1.07169 1.34385i
\(754\) 4.76304e6 + 4.41945e6i 0.305109 + 0.283100i
\(755\) 3.62383e7 + 1.11780e7i 2.31367 + 0.713672i