Properties

Label 43.6.e.a.11.18
Level 43
Weight 6
Character 43.11
Analytic conductor 6.897
Analytic rank 0
Dimension 108
CM no
Inner twists 2

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 43.e (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.89650425196\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(18\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 11.18
Character \(\chi\) \(=\) 43.11
Dual form 43.6.e.a.4.18

$q$-expansion

\(f(q)\) \(=\) \(q+(6.45965 + 8.10014i) q^{2} +(-16.9351 + 21.2360i) q^{3} +(-16.7646 + 73.4505i) q^{4} +(36.1651 - 17.4162i) q^{5} -281.410 q^{6} +237.288 q^{7} +(-404.550 + 194.821i) q^{8} +(-110.096 - 482.362i) q^{9} +O(q^{10})\) \(q+(6.45965 + 8.10014i) q^{2} +(-16.9351 + 21.2360i) q^{3} +(-16.7646 + 73.4505i) q^{4} +(36.1651 - 17.4162i) q^{5} -281.410 q^{6} +237.288 q^{7} +(-404.550 + 194.821i) q^{8} +(-110.096 - 482.362i) q^{9} +(374.687 + 180.440i) q^{10} +(-32.8986 - 144.138i) q^{11} +(-1275.88 - 1599.91i) q^{12} +(-470.081 + 226.379i) q^{13} +(1532.80 + 1922.07i) q^{14} +(-242.611 + 1062.95i) q^{15} +(-2019.22 - 972.404i) q^{16} +(1136.18 + 547.155i) q^{17} +(3196.02 - 4007.68i) q^{18} +(347.967 - 1524.54i) q^{19} +(672.934 + 2948.32i) q^{20} +(-4018.50 + 5039.05i) q^{21} +(955.026 - 1197.56i) q^{22} +(280.952 + 1230.93i) q^{23} +(2713.89 - 11890.3i) q^{24} +(-943.816 + 1183.51i) q^{25} +(-4870.26 - 2345.39i) q^{26} +(6161.24 + 2967.09i) q^{27} +(-3978.03 + 17428.9i) q^{28} +(-2611.20 - 3274.34i) q^{29} +(-10177.2 + 4901.08i) q^{30} +(-2747.79 - 3445.62i) q^{31} +(-1969.53 - 8629.06i) q^{32} +(3618.06 + 1742.36i) q^{33} +(2907.29 + 12737.7i) q^{34} +(8581.54 - 4132.65i) q^{35} +37275.4 q^{36} +4495.14 q^{37} +(14596.8 - 7029.43i) q^{38} +(3153.50 - 13816.4i) q^{39} +(-11237.5 + 14091.4i) q^{40} +(-122.765 - 153.943i) q^{41} -66775.1 q^{42} +(11145.6 - 4773.28i) q^{43} +11138.5 q^{44} +(-12382.5 - 15527.2i) q^{45} +(-8155.86 + 10227.1i) q^{46} +(-652.238 + 2857.64i) q^{47} +(54845.7 - 26412.3i) q^{48} +39498.5 q^{49} -15683.3 q^{50} +(-30860.8 + 14861.8i) q^{51} +(-8746.93 - 38322.8i) q^{52} +(10400.4 + 5008.55i) q^{53} +(15765.5 + 69073.3i) q^{54} +(-3700.11 - 4639.80i) q^{55} +(-95994.8 + 46228.7i) q^{56} +(26482.3 + 33207.8i) q^{57} +(9655.18 - 42302.1i) q^{58} +(-15809.9 - 7613.64i) q^{59} +(-74006.7 - 35639.8i) q^{60} +(-26658.2 + 33428.3i) q^{61} +(10160.3 - 44515.0i) q^{62} +(-26124.4 - 114459. i) q^{63} +(12459.2 - 15623.4i) q^{64} +(-13057.8 + 16374.0i) q^{65} +(9257.98 + 40561.9i) q^{66} +(5803.74 - 25427.8i) q^{67} +(-59236.4 + 74280.1i) q^{68} +(-30898.0 - 14879.7i) q^{69} +(88908.8 + 42816.2i) q^{70} +(8667.03 - 37972.7i) q^{71} +(138514. + 173690. i) q^{72} +(33372.0 - 16071.1i) q^{73} +(29037.0 + 36411.2i) q^{74} +(-9149.31 - 40085.7i) q^{75} +(106145. + 51116.7i) q^{76} +(-7806.43 - 34202.2i) q^{77} +(132285. - 63705.2i) q^{78} +6362.62 q^{79} -89960.7 q^{80} +(-59028.6 + 28426.7i) q^{81} +(453.937 - 1988.83i) q^{82} +(-47224.4 + 59217.5i) q^{83} +(-302752. - 379639. i) q^{84} +50619.4 q^{85} +(110661. + 59447.1i) q^{86} +113755. q^{87} +(41390.2 + 51901.7i) q^{88} +(-3884.89 + 4871.49i) q^{89} +(45785.8 - 200601. i) q^{90} +(-111544. + 53717.0i) q^{91} -95122.4 q^{92} +119705. q^{93} +(-27360.5 + 13176.1i) q^{94} +(-13967.5 - 61195.5i) q^{95} +(216601. + 104310. i) q^{96} +(25631.5 + 112299. i) q^{97} +(255147. + 319944. i) q^{98} +(-65904.7 + 31738.0i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + O(q^{10}) \) \( 108q - 3q^{2} - 9q^{3} - 331q^{4} + 67q^{5} - 20q^{6} - 624q^{7} + 589q^{8} - 579q^{9} + 627q^{10} - 220q^{11} - 663q^{12} - 1266q^{13} + 2353q^{14} + 1471q^{15} - 4583q^{16} - 1490q^{17} + 4728q^{18} + 946q^{19} + 14589q^{20} + 776q^{21} + 963q^{22} - 3018q^{23} - 17761q^{24} - 11939q^{25} + 1315q^{26} + 11277q^{27} - 10787q^{28} + 7283q^{29} - 55324q^{30} + 18676q^{31} - 10965q^{32} + 8776q^{33} + 23815q^{34} - 13340q^{35} + 136240q^{36} + 4994q^{37} + 39351q^{38} - 21251q^{39} + 14719q^{40} - 10519q^{41} - 199326q^{42} + 7026q^{43} - 180280q^{44} + 65996q^{45} - 5266q^{46} + 34102q^{47} + 69385q^{48} + 232252q^{49} + 17850q^{50} + 4116q^{51} + 32385q^{52} + 46774q^{53} - 30267q^{54} + 83643q^{55} - 231565q^{56} + 79511q^{57} - 222889q^{58} - 142070q^{59} + 42019q^{60} + 4715q^{61} - 150121q^{62} - 53547q^{63} + 163605q^{64} - 106653q^{65} - 56111q^{66} + 370962q^{67} - 579312q^{68} - 245635q^{69} - 91242q^{70} + 16922q^{71} + 586300q^{72} + 97842q^{73} + 535946q^{74} + 245407q^{75} + 942280q^{76} + 43381q^{77} + 173684q^{78} + 187210q^{79} - 752974q^{80} - 791814q^{81} + 387227q^{82} - 444471q^{83} - 688442q^{84} + 255432q^{85} - 244075q^{86} - 1418850q^{87} + 196837q^{88} + 408972q^{89} - 495568q^{90} - 25764q^{91} + 200120q^{92} + 692536q^{93} + 161449q^{94} + 406105q^{95} + 1096556q^{96} + 266261q^{97} + 527485q^{98} + 212416q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 6.45965 + 8.10014i 1.14192 + 1.43192i 0.885066 + 0.465465i \(0.154113\pi\)
0.256849 + 0.966452i \(0.417316\pi\)
\(3\) −16.9351 + 21.2360i −1.08639 + 1.36229i −0.159396 + 0.987215i \(0.550955\pi\)
−0.926994 + 0.375075i \(0.877617\pi\)
\(4\) −16.7646 + 73.4505i −0.523893 + 2.29533i
\(5\) 36.1651 17.4162i 0.646941 0.311550i −0.0814855 0.996675i \(-0.525966\pi\)
0.728426 + 0.685124i \(0.240252\pi\)
\(6\) −281.410 −3.19125
\(7\) 237.288 1.83033 0.915167 0.403074i \(-0.132058\pi\)
0.915167 + 0.403074i \(0.132058\pi\)
\(8\) −404.550 + 194.821i −2.23484 + 1.07624i
\(9\) −110.096 482.362i −0.453070 1.98503i
\(10\) 374.687 + 180.440i 1.18487 + 0.570601i
\(11\) −32.8986 144.138i −0.0819776 0.359167i 0.917257 0.398297i \(-0.130399\pi\)
−0.999234 + 0.0391295i \(0.987542\pi\)
\(12\) −1275.88 1599.91i −2.55775 3.20732i
\(13\) −470.081 + 226.379i −0.771461 + 0.371516i −0.777839 0.628464i \(-0.783684\pi\)
0.00637794 + 0.999980i \(0.497970\pi\)
\(14\) 1532.80 + 1922.07i 2.09009 + 2.62089i
\(15\) −242.611 + 1062.95i −0.278408 + 1.21979i
\(16\) −2019.22 972.404i −1.97189 0.949613i
\(17\) 1136.18 + 547.155i 0.953509 + 0.459186i 0.844915 0.534900i \(-0.179651\pi\)
0.108594 + 0.994086i \(0.465365\pi\)
\(18\) 3196.02 4007.68i 2.32503 2.91549i
\(19\) 347.967 1524.54i 0.221133 0.968848i −0.735494 0.677532i \(-0.763050\pi\)
0.956627 0.291316i \(-0.0940932\pi\)
\(20\) 672.934 + 2948.32i 0.376182 + 1.64816i
\(21\) −4018.50 + 5039.05i −1.98846 + 2.49345i
\(22\) 955.026 1197.56i 0.420686 0.527524i
\(23\) 280.952 + 1230.93i 0.110742 + 0.485192i 0.999633 + 0.0270743i \(0.00861907\pi\)
−0.888891 + 0.458118i \(0.848524\pi\)
\(24\) 2713.89 11890.3i 0.961755 4.21373i
\(25\) −943.816 + 1183.51i −0.302021 + 0.378722i
\(26\) −4870.26 2345.39i −1.41292 0.680428i
\(27\) 6161.24 + 2967.09i 1.62652 + 0.783289i
\(28\) −3978.03 + 17428.9i −0.958900 + 4.20122i
\(29\) −2611.20 3274.34i −0.576560 0.722983i 0.404962 0.914334i \(-0.367285\pi\)
−0.981522 + 0.191350i \(0.938713\pi\)
\(30\) −10177.2 + 4901.08i −2.06455 + 0.994235i
\(31\) −2747.79 3445.62i −0.513546 0.643966i 0.455679 0.890144i \(-0.349397\pi\)
−0.969225 + 0.246178i \(0.920825\pi\)
\(32\) −1969.53 8629.06i −0.340006 1.48967i
\(33\) 3618.06 + 1742.36i 0.578350 + 0.278519i
\(34\) 2907.29 + 12737.7i 0.431311 + 1.88970i
\(35\) 8581.54 4132.65i 1.18412 0.570241i
\(36\) 37275.4 4.79365
\(37\) 4495.14 0.539807 0.269903 0.962887i \(-0.413008\pi\)
0.269903 + 0.962887i \(0.413008\pi\)
\(38\) 14596.8 7029.43i 1.63983 0.789698i
\(39\) 3153.50 13816.4i 0.331995 1.45457i
\(40\) −11237.5 + 14091.4i −1.11051 + 1.39253i
\(41\) −122.765 153.943i −0.0114055 0.0143021i 0.776096 0.630615i \(-0.217197\pi\)
−0.787502 + 0.616313i \(0.788626\pi\)
\(42\) −66775.1 −5.84106
\(43\) 11145.6 4773.28i 0.919246 0.393683i
\(44\) 11138.5 0.867354
\(45\) −12382.5 15527.2i −0.911545 1.14304i
\(46\) −8155.86 + 10227.1i −0.568297 + 0.712621i
\(47\) −652.238 + 2857.64i −0.0430687 + 0.188696i −0.991886 0.127128i \(-0.959424\pi\)
0.948818 + 0.315825i \(0.102281\pi\)
\(48\) 54845.7 26412.3i 3.43589 1.65464i
\(49\) 39498.5 2.35012
\(50\) −15683.3 −0.887182
\(51\) −30860.8 + 14861.8i −1.66143 + 0.800101i
\(52\) −8746.93 38322.8i −0.448588 1.96539i
\(53\) 10400.4 + 5008.55i 0.508579 + 0.244919i 0.670533 0.741880i \(-0.266065\pi\)
−0.161954 + 0.986798i \(0.551780\pi\)
\(54\) 15765.5 + 69073.3i 0.735739 + 3.22348i
\(55\) −3700.11 4639.80i −0.164933 0.206820i
\(56\) −95994.8 + 46228.7i −4.09051 + 1.96989i
\(57\) 26482.3 + 33207.8i 1.07962 + 1.35379i
\(58\) 9655.18 42302.1i 0.376869 1.65117i
\(59\) −15809.9 7613.64i −0.591288 0.284749i 0.114215 0.993456i \(-0.463565\pi\)
−0.705503 + 0.708707i \(0.749279\pi\)
\(60\) −74006.7 35639.8i −2.65395 1.27808i
\(61\) −26658.2 + 33428.3i −0.917290 + 1.15024i 0.0709726 + 0.997478i \(0.477390\pi\)
−0.988262 + 0.152767i \(0.951182\pi\)
\(62\) 10160.3 44515.0i 0.335680 1.47071i
\(63\) −26124.4 114459.i −0.829269 3.63327i
\(64\) 12459.2 15623.4i 0.380226 0.476788i
\(65\) −13057.8 + 16374.0i −0.383344 + 0.480698i
\(66\) 9257.98 + 40561.9i 0.261611 + 1.14619i
\(67\) 5803.74 25427.8i 0.157950 0.692026i −0.832485 0.554048i \(-0.813082\pi\)
0.990435 0.137978i \(-0.0440604\pi\)
\(68\) −59236.4 + 74280.1i −1.55352 + 1.94805i
\(69\) −30898.0 14879.7i −0.781281 0.376245i
\(70\) 88908.8 + 42816.2i 2.16870 + 1.04439i
\(71\) 8667.03 37972.7i 0.204044 0.893976i −0.764399 0.644743i \(-0.776964\pi\)
0.968444 0.249233i \(-0.0801785\pi\)
\(72\) 138514. + 173690.i 3.14892 + 3.94861i
\(73\) 33372.0 16071.1i 0.732952 0.352971i −0.0298924 0.999553i \(-0.509516\pi\)
0.762845 + 0.646582i \(0.223802\pi\)
\(74\) 29037.0 + 36411.2i 0.616414 + 0.772959i
\(75\) −9149.31 40085.7i −0.187817 0.822881i
\(76\) 106145. + 51116.7i 2.10797 + 1.01515i
\(77\) −7806.43 34202.2i −0.150046 0.657397i
\(78\) 132285. 63705.2i 2.46193 1.18560i
\(79\) 6362.62 0.114701 0.0573506 0.998354i \(-0.481735\pi\)
0.0573506 + 0.998354i \(0.481735\pi\)
\(80\) −89960.7 −1.57155
\(81\) −59028.6 + 28426.7i −0.999655 + 0.481409i
\(82\) 453.937 1988.83i 0.00745523 0.0326635i
\(83\) −47224.4 + 59217.5i −0.752439 + 0.943528i −0.999677 0.0254266i \(-0.991906\pi\)
0.247238 + 0.968955i \(0.420477\pi\)
\(84\) −302752. 379639.i −4.68154 5.87046i
\(85\) 50619.4 0.759923
\(86\) 110661. + 59447.1i 1.61342 + 0.866732i
\(87\) 113755. 1.61128
\(88\) 41390.2 + 51901.7i 0.569759 + 0.714455i
\(89\) −3884.89 + 4871.49i −0.0519880 + 0.0651909i −0.807146 0.590352i \(-0.798989\pi\)
0.755158 + 0.655543i \(0.227560\pi\)
\(90\) 45785.8 200601.i 0.595833 2.61051i
\(91\) −111544. + 53717.0i −1.41203 + 0.679999i
\(92\) −95122.4 −1.17169
\(93\) 119705. 1.43518
\(94\) −27360.5 + 13176.1i −0.319378 + 0.153804i
\(95\) −13967.5 61195.5i −0.158785 0.695681i
\(96\) 216601. + 104310.i 2.39874 + 1.15517i
\(97\) 25631.5 + 112299.i 0.276595 + 1.21184i 0.902067 + 0.431596i \(0.142049\pi\)
−0.625472 + 0.780247i \(0.715094\pi\)
\(98\) 255147. + 319944.i 2.68364 + 3.36518i
\(99\) −65904.7 + 31738.0i −0.675816 + 0.325456i
\(100\) −71106.5 89164.7i −0.711065 0.891647i
\(101\) −18352.6 + 80408.1i −0.179017 + 0.784326i 0.803068 + 0.595888i \(0.203200\pi\)
−0.982085 + 0.188438i \(0.939658\pi\)
\(102\) −319732. 153975.i −3.04289 1.46538i
\(103\) 33434.1 + 16101.0i 0.310525 + 0.149541i 0.582655 0.812720i \(-0.302014\pi\)
−0.272130 + 0.962260i \(0.587728\pi\)
\(104\) 146068. 183163.i 1.32425 1.66056i
\(105\) −57568.6 + 252225.i −0.509580 + 2.23262i
\(106\) 26612.7 + 116598.i 0.230051 + 1.00792i
\(107\) 121690. 152594.i 1.02753 1.28848i 0.0708023 0.997490i \(-0.477444\pi\)
0.956726 0.290990i \(-0.0939845\pi\)
\(108\) −321225. + 402803.i −2.65003 + 3.32303i
\(109\) −49006.6 214712.i −0.395083 1.73097i −0.646337 0.763052i \(-0.723700\pi\)
0.251254 0.967921i \(-0.419157\pi\)
\(110\) 13681.6 59942.9i 0.107809 0.472342i
\(111\) −76125.8 + 95458.7i −0.586441 + 0.735374i
\(112\) −479136. 230740.i −3.60922 1.73811i
\(113\) −173730. 83664.2i −1.27991 0.616373i −0.334544 0.942380i \(-0.608582\pi\)
−0.945367 + 0.326008i \(0.894297\pi\)
\(114\) −97921.3 + 429021.i −0.705692 + 3.09184i
\(115\) 31598.7 + 39623.6i 0.222805 + 0.279389i
\(116\) 284277. 136901.i 1.96154 0.944627i
\(117\) 160951. + 201826.i 1.08700 + 1.36305i
\(118\) −40454.7 177244.i −0.267463 1.17183i
\(119\) 269602. + 129833.i 1.74524 + 0.840463i
\(120\) −108936. 477281.i −0.690588 3.02567i
\(121\) 125408. 60393.5i 0.778688 0.374996i
\(122\) −442977. −2.69452
\(123\) 5348.17 0.0318744
\(124\) 299148. 144062.i 1.74716 0.841386i
\(125\) −41433.6 + 181533.i −0.237180 + 1.03915i
\(126\) 758377. 950974.i 4.25558 5.33633i
\(127\) 69636.5 + 87321.4i 0.383114 + 0.480409i 0.935574 0.353130i \(-0.114883\pi\)
−0.552461 + 0.833539i \(0.686311\pi\)
\(128\) −76197.1 −0.411068
\(129\) −87386.7 + 317524.i −0.462350 + 1.67997i
\(130\) −216981. −1.12606
\(131\) −177904. 223084.i −0.905746 1.13577i −0.990244 0.139346i \(-0.955500\pi\)
0.0844981 0.996424i \(-0.473071\pi\)
\(132\) −188633. + 236538.i −0.942285 + 1.18159i
\(133\) 82568.4 361756.i 0.404748 1.77332i
\(134\) 243459. 117244.i 1.17129 0.564063i
\(135\) 274497. 1.29629
\(136\) −566239. −2.62514
\(137\) 56945.6 27423.5i 0.259214 0.124831i −0.299764 0.954013i \(-0.596908\pi\)
0.558978 + 0.829183i \(0.311194\pi\)
\(138\) −79062.5 346396.i −0.353405 1.54837i
\(139\) −216544. 104282.i −0.950626 0.457797i −0.106720 0.994289i \(-0.534035\pi\)
−0.843906 + 0.536492i \(0.819749\pi\)
\(140\) 159679. + 699600.i 0.688538 + 3.01668i
\(141\) −49639.1 62245.5i −0.210269 0.263670i
\(142\) 363571. 175086.i 1.51310 0.728671i
\(143\) 48094.8 + 60309.0i 0.196679 + 0.246628i
\(144\) −246743. + 1.08105e6i −0.991605 + 4.34450i
\(145\) −151461. 72939.6i −0.598246 0.288100i
\(146\) 345750. + 166504.i 1.34239 + 0.646463i
\(147\) −668914. + 838791.i −2.55315 + 3.20155i
\(148\) −75359.1 + 330170.i −0.282801 + 1.23903i
\(149\) 16581.1 + 72646.5i 0.0611853 + 0.268070i 0.996263 0.0863727i \(-0.0275276\pi\)
−0.935078 + 0.354443i \(0.884670\pi\)
\(150\) 265599. 333051.i 0.963825 1.20860i
\(151\) 150267. 188429.i 0.536317 0.672521i −0.437667 0.899137i \(-0.644195\pi\)
0.973984 + 0.226617i \(0.0727664\pi\)
\(152\) 156243. + 684545.i 0.548519 + 2.40322i
\(153\) 138838. 608290.i 0.479491 2.10079i
\(154\) 226616. 284168.i 0.769997 0.965545i
\(155\) −159384. 76755.1i −0.532862 0.256613i
\(156\) 961953. + 463252.i 3.16477 + 1.52407i
\(157\) 89862.0 393711.i 0.290956 1.27476i −0.592243 0.805760i \(-0.701757\pi\)
0.883198 0.469000i \(-0.155386\pi\)
\(158\) 41100.3 + 51538.1i 0.130979 + 0.164243i
\(159\) −282493. + 136041.i −0.886166 + 0.426755i
\(160\) −221513. 277769.i −0.684069 0.857796i
\(161\) 66666.4 + 292085.i 0.202695 + 0.888064i
\(162\) −611565. 294514.i −1.83086 0.881695i
\(163\) 52217.5 + 228780.i 0.153939 + 0.674449i 0.991717 + 0.128439i \(0.0409967\pi\)
−0.837779 + 0.546010i \(0.816146\pi\)
\(164\) 13365.3 6436.37i 0.0388032 0.0186866i
\(165\) 161193. 0.460931
\(166\) −784723. −2.21027
\(167\) −99121.2 + 47734.2i −0.275027 + 0.132446i −0.566314 0.824190i \(-0.691631\pi\)
0.291287 + 0.956636i \(0.405917\pi\)
\(168\) 643974. 2.82143e6i 1.76033 7.71253i
\(169\) −61769.0 + 77455.9i −0.166362 + 0.208611i
\(170\) 326984. + 410024.i 0.867768 + 1.08815i
\(171\) −773691. −2.02338
\(172\) 163749. + 898671.i 0.422043 + 2.31622i
\(173\) −613430. −1.55829 −0.779147 0.626841i \(-0.784348\pi\)
−0.779147 + 0.626841i \(0.784348\pi\)
\(174\) 734816. + 921430.i 1.83995 + 2.30722i
\(175\) −223956. + 280832.i −0.552800 + 0.693189i
\(176\) −73731.0 + 323037.i −0.179419 + 0.786087i
\(177\) 429426. 206801.i 1.03028 0.496157i
\(178\) −64554.8 −0.152714
\(179\) 240572. 0.561193 0.280597 0.959826i \(-0.409468\pi\)
0.280597 + 0.959826i \(0.409468\pi\)
\(180\) 1.34807e6 649196.i 3.10121 1.49346i
\(181\) −56106.5 245818.i −0.127296 0.557722i −0.997844 0.0656372i \(-0.979092\pi\)
0.870547 0.492085i \(-0.163765\pi\)
\(182\) −1.15565e6 556533.i −2.58612 1.24541i
\(183\) −258424. 1.13223e6i −0.570433 2.49923i
\(184\) −353470. 443237.i −0.769676 0.965143i
\(185\) 162567. 78288.1i 0.349223 0.168177i
\(186\) 773255. + 969631.i 1.63885 + 2.05506i
\(187\) 41487.2 181767.i 0.0867582 0.380112i
\(188\) −198961. 95814.4i −0.410556 0.197713i
\(189\) 1.46199e6 + 704056.i 2.97707 + 1.43368i
\(190\) 405467. 508440.i 0.814839 1.02178i
\(191\) 5586.35 24475.4i 0.0110801 0.0485452i −0.969086 0.246725i \(-0.920646\pi\)
0.980166 + 0.198179i \(0.0635028\pi\)
\(192\) 120779. + 529169.i 0.236450 + 1.03596i
\(193\) 64840.6 81307.5i 0.125301 0.157122i −0.715224 0.698895i \(-0.753675\pi\)
0.840525 + 0.541773i \(0.182247\pi\)
\(194\) −744067. + 933030.i −1.41941 + 1.77988i
\(195\) −126582. 554593.i −0.238389 1.04445i
\(196\) −662177. + 2.90119e6i −1.23121 + 5.39431i
\(197\) −143253. + 179633.i −0.262989 + 0.329777i −0.895740 0.444577i \(-0.853354\pi\)
0.632752 + 0.774355i \(0.281925\pi\)
\(198\) −682804. 328821.i −1.23775 0.596069i
\(199\) 465476. + 224162.i 0.833230 + 0.401262i 0.801326 0.598229i \(-0.204128\pi\)
0.0319044 + 0.999491i \(0.489843\pi\)
\(200\) 151249. 662663.i 0.267372 1.17143i
\(201\) 441699. + 553872.i 0.771145 + 0.966985i
\(202\) −769869. + 370749.i −1.32751 + 0.639296i
\(203\) −619605. 776960.i −1.05530 1.32330i
\(204\) −574235. 2.51589e6i −0.966083 4.23269i
\(205\) −7120.90 3429.25i −0.0118345 0.00569920i
\(206\) 85551.9 + 374828.i 0.140463 + 0.615408i
\(207\) 562822. 271041.i 0.912946 0.439652i
\(208\) 1.16933e6 1.87403
\(209\) −231192. −0.366107
\(210\) −2.41493e6 + 1.16297e6i −3.77882 + 1.81978i
\(211\) 270646. 1.18578e6i 0.418501 1.83357i −0.122396 0.992481i \(-0.539058\pi\)
0.540896 0.841089i \(-0.318085\pi\)
\(212\) −542238. + 679945.i −0.828610 + 1.03904i
\(213\) 659612. + 827127.i 0.996183 + 1.24917i
\(214\) 2.02210e6 3.01835
\(215\) 319949. 366740.i 0.472046 0.541081i
\(216\) −3.07058e6 −4.47802
\(217\) −652017. 817604.i −0.939961 1.17867i
\(218\) 1.42263e6 1.78393e6i 2.02746 2.54235i
\(219\) −223874. + 980856.i −0.315423 + 1.38196i
\(220\) 402826. 193991.i 0.561127 0.270224i
\(221\) −657961. −0.906190
\(222\) −1.26497e6 −1.72266
\(223\) −426857. + 205563.i −0.574804 + 0.276811i −0.698619 0.715494i \(-0.746202\pi\)
0.123814 + 0.992305i \(0.460487\pi\)
\(224\) −467345. 2.04757e6i −0.622325 2.72659i
\(225\) 674789. + 324961.i 0.888612 + 0.427933i
\(226\) −444546. 1.94768e6i −0.578956 2.53657i
\(227\) 62049.8 + 77808.0i 0.0799238 + 0.100221i 0.820186 0.572097i \(-0.193870\pi\)
−0.740262 + 0.672318i \(0.765299\pi\)
\(228\) −2.88309e6 + 1.38842e6i −3.67300 + 1.76883i
\(229\) 643333. + 806714.i 0.810676 + 1.01656i 0.999404 + 0.0345260i \(0.0109922\pi\)
−0.188728 + 0.982029i \(0.560436\pi\)
\(230\) −116840. + 511909.i −0.145637 + 0.638077i
\(231\) 858521. + 413442.i 1.05857 + 0.509782i
\(232\) 1.69427e6 + 815917.i 2.06663 + 0.995235i
\(233\) −439940. + 551667.i −0.530889 + 0.665714i −0.972881 0.231305i \(-0.925700\pi\)
0.441992 + 0.897019i \(0.354272\pi\)
\(234\) −595132. + 2.60745e6i −0.710516 + 3.11297i
\(235\) 26181.0 + 114706.i 0.0309255 + 0.135493i
\(236\) 824272. 1.03360e6i 0.963364 1.20802i
\(237\) −107752. + 135117.i −0.124610 + 0.156256i
\(238\) 689864. + 3.02249e6i 0.789443 + 3.45878i
\(239\) 162977. 714050.i 0.184558 0.808600i −0.794866 0.606785i \(-0.792459\pi\)
0.979424 0.201815i \(-0.0646840\pi\)
\(240\) 1.52350e6 1.91041e6i 1.70732 2.14091i
\(241\) 580384. + 279498.i 0.643685 + 0.309982i 0.727099 0.686533i \(-0.240868\pi\)
−0.0834142 + 0.996515i \(0.526582\pi\)
\(242\) 1.29929e6 + 625706.i 1.42616 + 0.686802i
\(243\) 26216.3 114861.i 0.0284810 0.124784i
\(244\) −2.00841e6 2.51847e6i −2.15963 2.70809i
\(245\) 1.42847e6 687914.i 1.52039 0.732182i
\(246\) 34547.3 + 43320.9i 0.0363979 + 0.0456415i
\(247\) 181552. + 795431.i 0.189347 + 0.829583i
\(248\) 1.78290e6 + 858598.i 1.84076 + 0.886463i
\(249\) −457791. 2.00571e6i −0.467917 2.05008i
\(250\) −1.73809e6 + 837018.i −1.75882 + 0.847003i
\(251\) −1.10497e6 −1.10705 −0.553523 0.832834i \(-0.686717\pi\)
−0.553523 + 0.832834i \(0.686717\pi\)
\(252\) 8.84501e6 8.77398
\(253\) 168181. 80991.7i 0.165187 0.0795498i
\(254\) −257489. + 1.12813e6i −0.250423 + 1.09717i
\(255\) −857247. + 1.07495e6i −0.825573 + 1.03524i
\(256\) −890902. 1.11716e6i −0.849631 1.06540i
\(257\) −1.88935e6 −1.78434 −0.892172 0.451695i \(-0.850820\pi\)
−0.892172 + 0.451695i \(0.850820\pi\)
\(258\) −3.13648e6 + 1.34325e6i −2.93355 + 1.25634i
\(259\) 1.06664e6 0.988027
\(260\) −983770. 1.23361e6i −0.902527 1.13173i
\(261\) −1.29193e6 + 1.62003e6i −1.17392 + 1.47205i
\(262\) 657818. 2.88209e6i 0.592042 2.59390i
\(263\) 9562.54 4605.08i 0.00852480 0.00410533i −0.429616 0.903011i \(-0.641351\pi\)
0.438141 + 0.898906i \(0.355637\pi\)
\(264\) −1.80313e6 −1.59228
\(265\) 463359. 0.405325
\(266\) 3.46363e6 1.66800e6i 3.00143 1.44541i
\(267\) −37659.9 164999.i −0.0323297 0.141646i
\(268\) 1.77039e6 + 852575.i 1.50568 + 0.725096i
\(269\) 142901. + 626090.i 0.120408 + 0.527541i 0.998772 + 0.0495485i \(0.0157782\pi\)
−0.878364 + 0.477992i \(0.841365\pi\)
\(270\) 1.77315e6 + 2.22347e6i 1.48026 + 1.85618i
\(271\) 1.19839e6 577112.i 0.991227 0.477350i 0.133275 0.991079i \(-0.457451\pi\)
0.857952 + 0.513729i \(0.171736\pi\)
\(272\) −1.76214e6 2.20965e6i −1.44417 1.81093i
\(273\) 748288. 3.27846e6i 0.607662 2.66234i
\(274\) 589983. + 284121.i 0.474748 + 0.228627i
\(275\) 201639. + 97104.1i 0.160784 + 0.0774294i
\(276\) 1.61091e6 2.02002e6i 1.27291 1.59618i
\(277\) −238043. + 1.04293e6i −0.186404 + 0.816691i 0.792088 + 0.610407i \(0.208994\pi\)
−0.978492 + 0.206284i \(0.933863\pi\)
\(278\) −554099. 2.42767e6i −0.430007 1.88398i
\(279\) −1.35952e6 + 1.70478e6i −1.04562 + 1.31117i
\(280\) −2.66653e6 + 3.34373e6i −2.03260 + 2.54880i
\(281\) 286087. + 1.25343e6i 0.216139 + 0.946966i 0.960301 + 0.278967i \(0.0899919\pi\)
−0.744162 + 0.667999i \(0.767151\pi\)
\(282\) 183546. 804168.i 0.137443 0.602177i
\(283\) 758742. 951432.i 0.563155 0.706174i −0.415982 0.909373i \(-0.636562\pi\)
0.979138 + 0.203198i \(0.0651337\pi\)
\(284\) 2.64382e6 + 1.27319e6i 1.94507 + 0.936697i
\(285\) 1.53609e6 + 739741.i 1.12022 + 0.539470i
\(286\) −177836. + 779150.i −0.128559 + 0.563256i
\(287\) −29130.7 36528.7i −0.0208759 0.0261776i
\(288\) −3.94549e6 + 1.90005e6i −2.80298 + 1.34984i
\(289\) 106259. + 133245.i 0.0748380 + 0.0938439i
\(290\) −387561. 1.69802e6i −0.270611 1.18562i
\(291\) −2.81885e6 1.35749e6i −1.95137 0.939731i
\(292\) 620963. + 2.72062e6i 0.426195 + 1.86728i
\(293\) −1.62651e6 + 783287.i −1.10685 + 0.533031i −0.895806 0.444446i \(-0.853401\pi\)
−0.211044 + 0.977477i \(0.567686\pi\)
\(294\) −1.11153e7 −7.49984
\(295\) −704367. −0.471242
\(296\) −1.81851e6 + 875747.i −1.20638 + 0.580964i
\(297\) 224975. 985682.i 0.147994 0.648404i
\(298\) −481339. + 603580.i −0.313986 + 0.393726i
\(299\) −410727. 515035.i −0.265690 0.333164i
\(300\) 3.09770e6 1.98718
\(301\) 2.64471e6 1.13264e6i 1.68253 0.720571i
\(302\) 2.49698e6 1.57542
\(303\) −1.39674e6 1.75146e6i −0.873997 1.09596i
\(304\) −2.18509e6 + 2.74002e6i −1.35608 + 1.70047i
\(305\) −381902. + 1.67322e6i −0.235073 + 1.02992i
\(306\) 5.82408e6 2.80473e6i 3.55569 1.71233i
\(307\) −1.25200e6 −0.758155 −0.379078 0.925365i \(-0.623759\pi\)
−0.379078 + 0.925365i \(0.623759\pi\)
\(308\) 2.64304e6 1.58755
\(309\) −908132. + 437333.i −0.541069 + 0.260565i
\(310\) −407835. 1.78684e6i −0.241035 1.05604i
\(311\) −106758. 51412.0i −0.0625892 0.0301414i 0.402327 0.915496i \(-0.368201\pi\)
−0.464917 + 0.885355i \(0.653916\pi\)
\(312\) 1.41597e6 + 6.20379e6i 0.823510 + 3.60803i
\(313\) 228580. + 286631.i 0.131880 + 0.165372i 0.843387 0.537307i \(-0.180558\pi\)
−0.711507 + 0.702679i \(0.751987\pi\)
\(314\) 3.76959e6 1.81534e6i 2.15760 1.03904i
\(315\) −2.93823e6 3.68442e6i −1.66843 2.09215i
\(316\) −106667. + 467337.i −0.0600912 + 0.263277i
\(317\) −2.30736e6 1.11117e6i −1.28964 0.621057i −0.341789 0.939777i \(-0.611033\pi\)
−0.947849 + 0.318720i \(0.896747\pi\)
\(318\) −2.92676e6 1.40945e6i −1.62300 0.781597i
\(319\) −386052. + 484094.i −0.212407 + 0.266350i
\(320\) 178490. 782014.i 0.0974402 0.426913i
\(321\) 1.17965e6 + 5.16840e6i 0.638987 + 2.79958i
\(322\) −1.93529e6 + 2.42677e6i −1.04017 + 1.30434i
\(323\) 1.22952e6 1.54176e6i 0.655734 0.822264i
\(324\) −1.09836e6 4.81224e6i −0.581277 2.54674i
\(325\) 175748. 770004.i 0.0922960 0.404375i
\(326\) −1.51584e6 + 1.90081e6i −0.789970 + 0.990591i
\(327\) 5.38956e6 + 2.59548e6i 2.78730 + 1.34229i
\(328\) 79655.8 + 38360.2i 0.0408821 + 0.0196878i
\(329\) −154768. + 678084.i −0.0788301 + 0.345377i
\(330\) 1.04125e6 + 1.30568e6i 0.526344 + 0.660014i
\(331\) −118501. + 57066.9i −0.0594498 + 0.0286295i −0.463372 0.886164i \(-0.653361\pi\)
0.403923 + 0.914793i \(0.367646\pi\)
\(332\) −3.55786e6 4.46141e6i −1.77151 2.22140i
\(333\) −494896. 2.16828e6i −0.244570 1.07153i
\(334\) −1.02694e6 494549.i −0.503709 0.242574i
\(335\) −232963. 1.02068e6i −0.113416 0.496909i
\(336\) 1.30142e7 6.26732e6i 6.28883 3.02854i
\(337\) 2.17805e6 1.04471 0.522353 0.852730i \(-0.325054\pi\)
0.522353 + 0.852730i \(0.325054\pi\)
\(338\) −1.02641e6 −0.488685
\(339\) 4.71884e6 2.27247e6i 2.23016 1.07399i
\(340\) −848613. + 3.71802e6i −0.398119 + 1.74427i
\(341\) −406247. + 509417.i −0.189192 + 0.237240i
\(342\) −4.99777e6 6.26701e6i −2.31053 2.89731i
\(343\) 5.38443e6 2.47118
\(344\) −3.57901e6 + 4.10243e6i −1.63067 + 1.86915i
\(345\) −1.37658e6 −0.622662
\(346\) −3.96254e6 4.96887e6i −1.77944 2.23135i
\(347\) −2.44263e6 + 3.06297e6i −1.08902 + 1.36558i −0.163647 + 0.986519i \(0.552326\pi\)
−0.925370 + 0.379065i \(0.876246\pi\)
\(348\) −1.90705e6 + 8.35534e6i −0.844140 + 3.69842i
\(349\) 2.47661e6 1.19267e6i 1.08841 0.524152i 0.198416 0.980118i \(-0.436420\pi\)
0.889997 + 0.455966i \(0.150706\pi\)
\(350\) −3.72146e6 −1.62384
\(351\) −3.56797e6 −1.54580
\(352\) −1.17898e6 + 567768.i −0.507166 + 0.244238i
\(353\) 409038. + 1.79211e6i 0.174714 + 0.765471i 0.984016 + 0.178079i \(0.0569883\pi\)
−0.809302 + 0.587392i \(0.800155\pi\)
\(354\) 4.44906e6 + 2.14255e6i 1.88695 + 0.908706i
\(355\) −347896. 1.52423e6i −0.146514 0.641920i
\(356\) −292685. 367015.i −0.122398 0.153483i
\(357\) −7.32289e6 + 3.52652e6i −3.04097 + 1.46445i
\(358\) 1.55401e6 + 1.94867e6i 0.640835 + 0.803582i
\(359\) −446111. + 1.95454e6i −0.182687 + 0.800402i 0.797658 + 0.603110i \(0.206072\pi\)
−0.980345 + 0.197292i \(0.936785\pi\)
\(360\) 8.03438e6 + 3.86915e6i 3.26735 + 1.57347i
\(361\) 27737.6 + 13357.7i 0.0112021 + 0.00539467i
\(362\) 1.62874e6 2.04237e6i 0.653250 0.819150i
\(363\) −841293. + 3.68595e6i −0.335105 + 1.46819i
\(364\) −2.07554e6 9.09354e6i −0.821065 3.59732i
\(365\) 927005. 1.16243e6i 0.364208 0.456703i
\(366\) 7.50188e6 9.40706e6i 2.92730 3.67072i
\(367\) −845927. 3.70625e6i −0.327844 1.43638i −0.823230 0.567707i \(-0.807831\pi\)
0.495386 0.868673i \(-0.335027\pi\)
\(368\) 629658. 2.75871e6i 0.242374 1.06191i
\(369\) −60740.1 + 76165.7i −0.0232225 + 0.0291201i
\(370\) 1.68427e6 + 811102.i 0.639599 + 0.308014i
\(371\) 2.46788e6 + 1.18847e6i 0.930870 + 0.448283i
\(372\) −2.00681e6 + 8.79242e6i −0.751882 + 3.29421i
\(373\) 2.24274e6 + 2.81231e6i 0.834655 + 1.04662i 0.998193 + 0.0600874i \(0.0191379\pi\)
−0.163538 + 0.986537i \(0.552291\pi\)
\(374\) 1.74033e6 838101.i 0.643360 0.309826i
\(375\) −3.15334e6 3.95416e6i −1.15796 1.45203i
\(376\) −292866. 1.28313e6i −0.106831 0.468059i
\(377\) 1.96871e6 + 948082.i 0.713393 + 0.343552i
\(378\) 3.74097e6 + 1.63903e7i 1.34665 + 5.90006i
\(379\) −4.11320e6 + 1.98081e6i −1.47090 + 0.708347i −0.986080 0.166269i \(-0.946828\pi\)
−0.484817 + 0.874616i \(0.661114\pi\)
\(380\) 4.72900e6 1.68000
\(381\) −3.03366e6 −1.07067
\(382\) 234340. 112852.i 0.0821653 0.0395687i
\(383\) 816364. 3.57673e6i 0.284372 1.24592i −0.607753 0.794126i \(-0.707929\pi\)
0.892125 0.451789i \(-0.149214\pi\)
\(384\) 1.29041e6 1.61812e6i 0.446580 0.559993i
\(385\) −877992. 1.10097e6i −0.301883 0.378550i
\(386\) 1.07745e6 0.368069
\(387\) −3.52954e6 4.85069e6i −1.19795 1.64636i
\(388\) −8.67811e6 −2.92648
\(389\) −1.91711e6 2.40397e6i −0.642351 0.805482i 0.348944 0.937143i \(-0.386540\pi\)
−0.991295 + 0.131661i \(0.957969\pi\)
\(390\) 3.67461e6 4.60781e6i 1.22335 1.53403i
\(391\) −354298. + 1.55228e6i −0.117200 + 0.513486i
\(392\) −1.59791e7 + 7.69514e6i −5.25216 + 2.52931i
\(393\) 7.75023e6 2.53124
\(394\) −2.38041e6 −0.772524
\(395\) 230105. 110813.i 0.0742049 0.0357352i
\(396\) −1.22631e6 5.37281e6i −0.392972 1.72172i
\(397\) −1.00095e6 482032.i −0.318740 0.153497i 0.267672 0.963510i \(-0.413746\pi\)
−0.586412 + 0.810013i \(0.699460\pi\)
\(398\) 1.19107e6 + 5.21843e6i 0.376904 + 1.65132i
\(399\) 6.28394e6 + 7.87981e6i 1.97606 + 2.47790i
\(400\) 3.05662e6 1.47199e6i 0.955193 0.459997i
\(401\) 3.54663e6 + 4.44734e6i 1.10143 + 1.38115i 0.917278 + 0.398247i \(0.130381\pi\)
0.184148 + 0.982899i \(0.441047\pi\)
\(402\) −1.63323e6 + 7.15564e6i −0.504060 + 2.20843i
\(403\) 2.07170e6 + 997678.i 0.635425 + 0.306004i
\(404\) −5.59834e6 2.69602e6i −1.70650 0.821806i
\(405\) −1.63969e6 + 2.05611e6i −0.496735 + 0.622886i
\(406\) 2.29106e6 1.00378e7i 0.689796 3.02220i
\(407\) −147884. 647920.i −0.0442521 0.193881i
\(408\) 9.58934e6 1.20246e7i 2.85192 3.57620i
\(409\) −1.71025e6 + 2.14458e6i −0.505534 + 0.633920i −0.967468 0.252995i \(-0.918585\pi\)
0.461933 + 0.886915i \(0.347156\pi\)
\(410\) −18221.1 79832.0i −0.00535323 0.0234540i
\(411\) −382015. + 1.67372e6i −0.111552 + 0.488740i
\(412\) −1.74313e6 + 2.18582e6i −0.505927 + 0.634412i
\(413\) −3.75150e6 1.80662e6i −1.08225 0.521186i
\(414\) 5.83110e6 + 2.80811e6i 1.67205 + 0.805218i
\(415\) −676531. + 2.96407e6i −0.192827 + 0.844829i
\(416\) 2.87927e6 + 3.61050e6i 0.815736 + 1.02290i
\(417\) 5.88175e6 2.83250e6i 1.65640 0.797682i
\(418\) −1.49342e6 1.87269e6i −0.418063 0.524234i
\(419\) −63111.8 276511.i −0.0175621 0.0769444i 0.965387 0.260820i \(-0.0839928\pi\)
−0.982950 + 0.183875i \(0.941136\pi\)
\(420\) −1.75609e7 8.45688e6i −4.85762 2.33931i
\(421\) −1.26732e6 5.55250e6i −0.348483 1.52680i −0.780626 0.624998i \(-0.785100\pi\)
0.432143 0.901805i \(-0.357757\pi\)
\(422\) 1.13533e7 5.46744e6i 3.10341 1.49452i
\(423\) 1.45023e6 0.394080
\(424\) −5.18323e6 −1.40019
\(425\) −1.71991e6 + 828264.i −0.461884 + 0.222432i
\(426\) −2.43899e6 + 1.06859e7i −0.651156 + 2.85290i
\(427\) −6.32567e6 + 7.93214e6i −1.67895 + 2.10533i
\(428\) 9.16802e6 + 1.14963e7i 2.41917 + 3.03354i
\(429\) −2.09521e6 −0.549649
\(430\) 5.03740e6 + 222620.i 1.31382 + 0.0580623i
\(431\) 4.16292e6 1.07946 0.539728 0.841839i \(-0.318527\pi\)
0.539728 + 0.841839i \(0.318527\pi\)
\(432\) −9.55566e6 1.19824e7i −2.46349 3.08912i
\(433\) −3.66735e6 + 4.59871e6i −0.940011 + 1.17874i 0.0437118 + 0.999044i \(0.486082\pi\)
−0.983723 + 0.179692i \(0.942490\pi\)
\(434\) 2.41091e6 1.05629e7i 0.614407 2.69189i
\(435\) 4.11395e6 1.98117e6i 1.04240 0.501995i
\(436\) 1.65923e7 4.18013
\(437\) 1.97437e6 0.494566
\(438\) −9.39122e6 + 4.52257e6i −2.33903 + 1.12642i
\(439\) 608257. + 2.66495e6i 0.150635 + 0.659975i 0.992701 + 0.120601i \(0.0384820\pi\)
−0.842066 + 0.539374i \(0.818661\pi\)
\(440\) 2.40081e6 + 1.15617e6i 0.591189 + 0.284702i
\(441\) −4.34863e6 1.90526e7i −1.06477 4.66506i
\(442\) −4.25019e6 5.32958e6i −1.03479 1.29759i
\(443\) 146201. 70406.6i 0.0353949 0.0170453i −0.416103 0.909318i \(-0.636604\pi\)
0.451497 + 0.892272i \(0.350890\pi\)
\(444\) −5.73527e6 7.19180e6i −1.38069 1.73133i
\(445\) −55654.4 + 243838.i −0.0133229 + 0.0583716i
\(446\) −4.42244e6 2.12973e6i −1.05275 0.506977i
\(447\) −1.82352e6 878163.i −0.431661 0.207877i
\(448\) 2.95643e6 3.70724e6i 0.695941 0.872682i
\(449\) 1.17479e6 5.14708e6i 0.275007 1.20488i −0.629014 0.777394i \(-0.716541\pi\)
0.904021 0.427489i \(-0.140602\pi\)
\(450\) 1.72667e6 + 7.56503e6i 0.401955 + 1.76108i
\(451\) −18150.2 + 22759.6i −0.00420184 + 0.00526894i
\(452\) 9.05769e6 1.13580e7i 2.08531 2.61490i
\(453\) 1.45668e6 + 6.38215e6i 0.333518 + 1.46124i
\(454\) −229436. + 1.00522e6i −0.0522423 + 0.228888i
\(455\) −3.09847e6 + 3.88536e6i −0.701647 + 0.879838i
\(456\) −1.71830e7 8.27489e6i −3.86978 1.86359i
\(457\) −3.10773e6 1.49660e6i −0.696070 0.335210i 0.0521696 0.998638i \(-0.483386\pi\)
−0.748240 + 0.663429i \(0.769101\pi\)
\(458\) −2.37880e6 + 1.04222e7i −0.529899 + 2.32164i
\(459\) 5.37681e6 + 6.74231e6i 1.19122 + 1.49375i
\(460\) −3.44011e6 + 1.65667e6i −0.758015 + 0.365041i
\(461\) 169038. + 211967.i 0.0370452 + 0.0464532i 0.800009 0.599988i \(-0.204828\pi\)
−0.762964 + 0.646441i \(0.776257\pi\)
\(462\) 2.19681e6 + 9.62484e6i 0.478836 + 2.09792i
\(463\) −3.46902e6 1.67059e6i −0.752064 0.362175i 0.0182555 0.999833i \(-0.494189\pi\)
−0.770319 + 0.637659i \(0.779903\pi\)
\(464\) 2.08860e6 + 9.15073e6i 0.450360 + 1.97315i
\(465\) 4.32916e6 2.08481e6i 0.928476 0.447131i
\(466\) −7.31044e6 −1.55948
\(467\) 4.78957e6 1.01626 0.508129 0.861281i \(-0.330337\pi\)
0.508129 + 0.861281i \(0.330337\pi\)
\(468\) −1.75225e7 + 8.43837e6i −3.69811 + 1.78092i
\(469\) 1.37716e6 6.03372e6i 0.289102 1.26664i
\(470\) −760018. + 953032.i −0.158701 + 0.199004i
\(471\) 6.83902e6 + 8.57586e6i 1.42050 + 1.78125i
\(472\) 7.87919e6 1.62789
\(473\) −1.05469e6 1.44947e6i −0.216756 0.297890i
\(474\) −1.79050e6 −0.366040
\(475\) 1.47589e6 + 1.85071e6i 0.300138 + 0.376361i
\(476\) −1.40561e7 + 1.76258e7i −2.84346 + 3.56558i
\(477\) 1.27090e6 5.56816e6i 0.255749 1.12051i
\(478\) 6.83668e6 3.29237e6i 1.36860 0.659082i
\(479\) 1.22728e6 0.244402 0.122201 0.992505i \(-0.461005\pi\)
0.122201 + 0.992505i \(0.461005\pi\)
\(480\) 9.65007e6 1.91173
\(481\) −2.11308e6 + 1.01760e6i −0.416440 + 0.200547i
\(482\) 1.48510e6 + 6.50666e6i 0.291165 + 1.27568i
\(483\) −7.33172e6 3.53077e6i −1.43001 0.688655i
\(484\) 2.33351e6 + 1.02238e7i 0.452790 + 1.98380i
\(485\) 2.88278e6 + 3.61490e6i 0.556490 + 0.697817i
\(486\) 1.09974e6 529607.i 0.211203 0.101710i
\(487\) −69365.1 86981.0i −0.0132531 0.0166189i 0.775161 0.631764i \(-0.217669\pi\)
−0.788414 + 0.615145i \(0.789097\pi\)
\(488\) 4.27204e6 1.87170e7i 0.812055 3.55784i
\(489\) −5.74268e6 2.76553e6i −1.08603 0.523006i
\(490\) 1.47996e7 + 7.12711e6i 2.78458 + 1.34098i
\(491\) −356869. + 447500.i −0.0668045 + 0.0837702i −0.814111 0.580709i \(-0.802775\pi\)
0.747306 + 0.664480i \(0.231347\pi\)
\(492\) −89659.8 + 392825.i −0.0166988 + 0.0731622i
\(493\) −1.17522e6 5.14896e6i −0.217771 0.954119i
\(494\) −5.27034e6 + 6.60880e6i −0.971676 + 1.21844i
\(495\) −1.83069e6 + 2.29562e6i −0.335817 + 0.421101i
\(496\) 2.19785e6 + 9.62942e6i 0.401138 + 1.75750i
\(497\) 2.05658e6 9.01047e6i 0.373469 1.63628i
\(498\) 1.32894e7 1.66644e7i 2.40122 3.01104i
\(499\) 1.42785e6 + 687616.i 0.256703 + 0.123622i 0.557810 0.829969i \(-0.311642\pi\)
−0.301107 + 0.953590i \(0.597356\pi\)
\(500\) −1.26390e7 6.08664e6i −2.26094 1.08881i
\(501\) 664947. 2.91332e6i 0.118357 0.518555i
\(502\) −7.13772e6 8.95041e6i −1.26415 1.58520i
\(503\) 442150. 212928.i 0.0779201 0.0375243i −0.394518 0.918888i \(-0.629088\pi\)
0.472438 + 0.881364i \(0.343374\pi\)
\(504\) 3.28676e7 + 4.12146e7i 5.76357 + 7.22729i
\(505\) 736678. + 3.22760e6i 0.128543 + 0.563185i
\(506\) 1.74243e6 + 839112.i 0.302538 + 0.145695i
\(507\) −598786. 2.62345e6i −0.103455 0.453266i
\(508\) −7.58122e6 + 3.65093e6i −1.30341 + 0.627688i
\(509\) −9.78177e6 −1.67349 −0.836745 0.547593i \(-0.815544\pi\)
−0.836745 + 0.547593i \(0.815544\pi\)
\(510\) −1.42448e7 −2.42511
\(511\) 7.91878e6 3.81348e6i 1.34155 0.646055i
\(512\) 2.75163e6 1.20557e7i 0.463891 2.03244i
\(513\) 6.66737e6 8.36062e6i 1.11856 1.40264i
\(514\) −1.22045e7 1.53040e7i −2.03757 2.55503i
\(515\) 1.48956e6 0.247481
\(516\) −2.18573e7 1.17418e7i −3.61387 1.94137i
\(517\) 433352. 0.0713042
\(518\) 6.89013e6 + 8.63995e6i 1.12824 + 1.41477i
\(519\) 1.03885e7 1.30268e7i 1.69292 2.12285i
\(520\) 2.09255e6 9.16805e6i 0.339365 1.48686i
\(521\) −8.45256e6 + 4.07054e6i −1.36425 + 0.656988i −0.965580 0.260106i \(-0.916242\pi\)
−0.398670 + 0.917094i \(0.630528\pi\)
\(522\) −2.14679e7 −3.44837
\(523\) 8.75171e6 1.39907 0.699534 0.714600i \(-0.253391\pi\)
0.699534 + 0.714600i \(0.253391\pi\)
\(524\) 1.93681e7 9.32719e6i 3.08148 1.48396i
\(525\) −2.17102e6 9.51186e6i −0.343768 1.50615i
\(526\) 99072.5 + 47710.8i 0.0156131 + 0.00751886i
\(527\) −1.23669e6 5.41831e6i −0.193971 0.849841i
\(528\) −5.61136e6 7.03643e6i −0.875959 1.09842i
\(529\) 4.36269e6 2.10096e6i 0.677821 0.326422i
\(530\) 2.99314e6 + 3.75328e6i 0.462847 + 0.580392i
\(531\) −1.93193e6 + 8.46432e6i −0.297341 + 1.30273i
\(532\) 2.51869e7 + 1.21294e7i 3.85830 + 1.85806i
\(533\) 92558.8 + 44574.0i 0.0141124 + 0.00679616i
\(534\) 1.09325e6 1.37089e6i 0.165907 0.208041i
\(535\) 1.74331e6 7.63794e6i 0.263324 1.15370i
\(536\) 2.60597e6 + 1.14175e7i 0.391794 + 1.71656i
\(537\) −4.07412e6 + 5.10879e6i −0.609675 + 0.764508i
\(538\) −4.14833e6 + 5.20184e6i −0.617899 + 0.774821i
\(539\) −1.29945e6 5.69324e6i −0.192658 0.844088i
\(540\) −4.60183e6 + 2.01619e7i −0.679120 + 2.97542i
\(541\) −7.98393e6 + 1.00115e7i −1.17280 + 1.47064i −0.320763 + 0.947159i \(0.603939\pi\)
−0.852036 + 0.523484i \(0.824632\pi\)
\(542\) 1.24158e7 + 5.97915e6i 1.81542 + 0.874261i
\(543\) 6.17037e6 + 2.97149e6i 0.898073 + 0.432489i
\(544\) 2.48370e6 1.08818e7i 0.359834 1.57654i
\(545\) −5.51180e6 6.91157e6i −0.794881 0.996749i
\(546\) 3.13897e7 1.51165e7i 4.50615 2.17005i
\(547\) 472972. + 593089.i 0.0675877 + 0.0847523i 0.814476 0.580197i \(-0.197025\pi\)
−0.746888 + 0.664949i \(0.768453\pi\)
\(548\) 1.05960e6 + 4.64242e6i 0.150727 + 0.660379i
\(549\) 1.90595e7 + 9.17858e6i 2.69887 + 1.29971i
\(550\) 515958. + 2.26056e6i 0.0727290 + 0.318647i
\(551\) −5.90048e6 + 2.84152e6i −0.827957 + 0.398723i
\(552\) 1.53986e7 2.15097
\(553\) 1.50977e6 0.209942
\(554\) −9.98559e6 + 4.80881e6i −1.38229 + 0.665676i
\(555\) −1.09057e6 + 4.77809e6i −0.150287 + 0.658449i
\(556\) 1.12899e7 1.41570e7i 1.54882 1.94216i
\(557\) −3.82975e6 4.80235e6i −0.523036 0.655867i 0.448214 0.893926i \(-0.352060\pi\)
−0.971251 + 0.238059i \(0.923489\pi\)
\(558\) −2.25909e7 −3.07149
\(559\) −4.15876e6 + 4.76696e6i −0.562903 + 0.645226i
\(560\) −2.13466e7 −2.87646
\(561\) 3.15742e6 + 3.95928e6i 0.423570 + 0.531140i
\(562\) −8.30494e6 + 1.04141e7i −1.10916 + 1.39085i
\(563\) −2.26493e6 + 9.92331e6i −0.301151 + 1.31943i 0.567243 + 0.823551i \(0.308010\pi\)
−0.868393 + 0.495876i \(0.834847\pi\)
\(564\) 5.40414e6 2.60250e6i 0.715367 0.344502i
\(565\) −7.74009e6 −1.02006
\(566\) 1.26079e7 1.65426
\(567\) −1.40068e7 + 6.74531e6i −1.82970 + 0.881139i
\(568\) 3.89164e6 + 1.70504e7i 0.506130 + 2.21750i
\(569\) −9.58729e6 4.61700e6i −1.24141 0.597832i −0.306214 0.951963i \(-0.599062\pi\)
−0.935196 + 0.354131i \(0.884777\pi\)
\(570\) 3.93058e6 + 1.72210e7i 0.506722 + 2.22009i
\(571\) 876621. + 1.09925e6i 0.112518 + 0.141093i 0.834901 0.550400i \(-0.185525\pi\)
−0.722383 + 0.691493i \(0.756953\pi\)
\(572\) −5.23601e6 + 2.52153e6i −0.669130 + 0.322236i
\(573\) 425154. + 533126.i 0.0540953 + 0.0678334i
\(574\) 107714. 471925.i 0.0136456 0.0597852i
\(575\) −1.72198e6 829263.i −0.217200 0.104598i
\(576\) −8.90785e6 4.28979e6i −1.11871 0.538741i
\(577\) −4.88432e6 + 6.12474e6i −0.610751 + 0.765858i −0.987010 0.160657i \(-0.948639\pi\)
0.376259 + 0.926514i \(0.377210\pi\)
\(578\) −392905. + 1.72143e6i −0.0489180 + 0.214324i
\(579\) 628562. + 2.75391e6i 0.0779205 + 0.341392i
\(580\) 7.89662e6 9.90205e6i 0.974700 1.22224i
\(581\) −1.12058e7 + 1.40516e7i −1.37721 + 1.72697i
\(582\) −7.21295e6 3.16020e7i −0.882684 3.86729i
\(583\) 379765. 1.66386e6i 0.0462747 0.202743i
\(584\) −1.03697e7 + 1.30031e7i −1.25815 + 1.57767i
\(585\) 9.33582e6 + 4.49590e6i 1.12788 + 0.543158i
\(586\) −1.68514e7 8.11523e6i −2.02718 0.976240i
\(587\) 775526. 3.39780e6i 0.0928969 0.407008i −0.907003 0.421123i \(-0.861636\pi\)
0.999900 + 0.0141152i \(0.00449316\pi\)
\(588\) −5.03955e7 6.31940e7i −6.01103 7.53759i
\(589\) −6.20914e6 + 2.99016e6i −0.737468 + 0.355146i
\(590\) −4.54996e6 5.70547e6i −0.538118 0.674779i
\(591\) −1.38868e6 6.08422e6i −0.163544 0.716533i
\(592\) −9.07666e6 4.37109e6i −1.06444 0.512608i
\(593\) −1.59654e6 6.99491e6i −0.186442 0.816856i −0.978473 0.206375i \(-0.933833\pi\)
0.792031 0.610481i \(-0.209024\pi\)
\(594\) 9.43742e6 4.54482e6i 1.09746 0.528507i
\(595\) 1.20114e7 1.39091
\(596\) −5.61389e6 −0.647364
\(597\) −1.26432e7 + 6.08865e6i −1.45185 + 0.699173i
\(598\) 1.51871e6 6.65389e6i 0.173668 0.760891i
\(599\) 3.04049e6 3.81265e6i 0.346239 0.434171i −0.577969 0.816059i \(-0.696155\pi\)
0.924209 + 0.381888i \(0.124726\pi\)
\(600\) 1.15109e7 + 1.44342e7i 1.30536 + 1.63687i
\(601\) 2.40427e6 0.271517 0.135759 0.990742i \(-0.456653\pi\)
0.135759 + 0.990742i \(0.456653\pi\)
\(602\) 2.62585e7 + 1.41061e7i 2.95310 + 1.58641i
\(603\) −1.29044e7 −1.44525
\(604\) 1.13210e7 + 1.41961e7i 1.26268 + 1.58335i
\(605\) 3.48358e6 4.36827e6i 0.386935 0.485201i
\(606\) 5.16461e6 2.26276e7i 0.571289 2.50298i
\(607\) 4.60518e6 2.21774e6i 0.507312 0.244309i −0.162677 0.986679i \(-0.552013\pi\)
0.669989 + 0.742371i \(0.266299\pi\)
\(608\) −1.38407e7 −1.51845
\(609\) 2.69926e7 2.94918
\(610\) −1.60203e7 + 7.71497e6i −1.74320 + 0.839479i
\(611\) −340305. 1.49097e6i −0.0368778 0.161572i
\(612\) 4.23516e7 + 2.03954e7i 4.57079 + 2.20118i
\(613\) 2.83604e6 + 1.24255e7i 0.304832 + 1.33556i 0.862738 + 0.505652i \(0.168748\pi\)
−0.557906 + 0.829904i \(0.688395\pi\)
\(614\) −8.08748e6 1.01414e7i −0.865749 1.08562i
\(615\) 193417. 93144.7i 0.0206209 0.00993048i
\(616\) 9.82140e6 + 1.23156e7i 1.04285 + 1.30769i
\(617\) 1.87854e6 8.23043e6i 0.198659 0.870381i −0.773077 0.634312i \(-0.781284\pi\)
0.971736 0.236070i \(-0.0758593\pi\)
\(618\) −9.40867e6 4.53098e6i −0.990962 0.477222i
\(619\) −1.89060e6 910464.i −0.198323 0.0955072i 0.332086 0.943249i \(-0.392247\pi\)
−0.530409 + 0.847742i \(0.677962\pi\)
\(620\) 8.30970e6 1.04200e7i 0.868173 1.08865i
\(621\) −1.92128e6 + 8.41766e6i −0.199922 + 0.875916i
\(622\) −273175. 1.19686e6i −0.0283117 0.124041i
\(623\) −921837. + 1.15595e6i −0.0951555 + 0.119321i
\(624\) −1.98027e7 + 2.48318e7i −2.03593 + 2.55298i
\(625\) 610516. + 2.67485e6i 0.0625169 + 0.273904i
\(626\) −845201. + 3.70307e6i −0.0862034 + 0.377682i
\(627\) 3.91527e6 4.90960e6i 0.397735 0.498743i
\(628\) 2.74118e7 + 1.32008e7i 2.77356 + 1.33568i
\(629\) 5.10728e6 + 2.45954e6i 0.514711 + 0.247872i
\(630\) 1.08644e7 4.76001e7i 1.09057 4.77811i
\(631\) 835982. + 1.04829e6i 0.0835841 + 0.104811i 0.821865 0.569682i \(-0.192934\pi\)
−0.738281 + 0.674493i \(0.764362\pi\)
\(632\) −2.57400e6 + 1.23957e6i −0.256339 + 0.123446i
\(633\) 2.05978e7 + 2.58288e7i 2.04320 + 2.56209i
\(634\) −5.90414e6 2.58677e7i −0.583356 2.55585i
\(635\) 4.03921e6 + 1.94518e6i 0.397523 + 0.191437i
\(636\) −5.25643e6 2.30299e7i −0.515286 2.25761i
\(637\) −1.85675e7 + 8.94164e6i −1.81303 + 0.873109i
\(638\) −6.41499e6 −0.623942
\(639\) −1.92708e7 −1.86701
\(640\) −2.75567e6 + 1.32706e6i −0.265936 + 0.128068i
\(641\) −901848. + 3.95125e6i −0.0866938 + 0.379830i −0.999598 0.0283429i \(-0.990977\pi\)
0.912904 + 0.408173i \(0.133834\pi\)
\(642\) −3.42446e7 + 4.29414e7i −3.27910 + 4.11186i
\(643\) −2.21820e6 2.78154e6i −0.211579 0.265312i 0.664705 0.747106i \(-0.268557\pi\)
−0.876285 + 0.481793i \(0.839986\pi\)
\(644\) −2.25714e7 −2.14459
\(645\) 2.36971e6 + 1.30052e7i 0.224283 + 1.23089i
\(646\) 2.04307e7 1.92621
\(647\) −8.16035e6 1.02328e7i −0.766387 0.961019i 0.233549 0.972345i \(-0.424966\pi\)
−0.999936 + 0.0113263i \(0.996395\pi\)
\(648\) 1.83419e7 2.30000e7i 1.71596 2.15175i
\(649\) −577293. + 2.52928e6i −0.0538003 + 0.235714i
\(650\) 7.37242e6 3.55037e6i 0.684426 0.329602i
\(651\) 2.84046e7 2.62686
\(652\) −1.76794e7 −1.62873
\(653\) 1.56305e7 7.52725e6i 1.43446 0.690801i 0.454642 0.890674i \(-0.349767\pi\)
0.979822 + 0.199873i \(0.0640529\pi\)
\(654\) 1.37909e7 + 6.04221e7i 1.26081 + 5.52397i
\(655\) −1.03192e7 4.96945e6i −0.939813 0.452590i
\(656\) 98195.1 + 430221.i 0.00890902 + 0.0390330i
\(657\) −1.14262e7 1.43280e7i −1.03274 1.29501i
\(658\) −6.49232e6 + 3.12654e6i −0.584568 + 0.281513i
\(659\) 6.73253e6 + 8.44232e6i 0.603899 + 0.757266i 0.985980 0.166863i \(-0.0533638\pi\)
−0.382081 + 0.924129i \(0.624792\pi\)
\(660\) −2.70233e6 + 1.18397e7i −0.241479 + 1.05799i
\(661\) −5.70112e6 2.74551e6i −0.507524 0.244411i 0.162557 0.986699i \(-0.448026\pi\)
−0.670080 + 0.742289i \(0.733740\pi\)
\(662\) −1.22772e6 591240.i −0.108882 0.0524347i
\(663\) 1.11427e7 1.39725e7i 0.984476 1.23449i
\(664\) 7.56781e6 3.31567e7i 0.666116 2.91845i
\(665\) −3.31431e6 1.45209e7i −0.290629 1.27333i
\(666\) 1.43665e7 1.80151e7i 1.25507 1.57380i
\(667\) 3.29686e6 4.13413e6i 0.286936 0.359807i
\(668\) −1.84438e6 8.08074e6i −0.159922 0.700665i
\(669\) 2.86354e6 1.25460e7i 0.247365 1.08377i
\(670\) 6.76279e6 8.48027e6i 0.582021 0.729831i
\(671\) 5.69531e6 + 2.74272e6i 0.488328 + 0.235166i
\(672\) 5.13968e7 + 2.47514e7i 4.39049 + 2.11435i
\(673\) 1.03653e6 4.54133e6i 0.0882153 0.386496i −0.911476 0.411354i \(-0.865056\pi\)
0.999691 + 0.0248575i \(0.00791321\pi\)
\(674\) 1.40695e7 + 1.76425e7i 1.19296 + 1.49593i
\(675\) −9.32665e6 + 4.49148e6i −0.787891 + 0.379428i
\(676\) −4.65364e6 5.83548e6i −0.391675 0.491145i
\(677\) 4.52442e6 + 1.98228e7i 0.379395 + 1.66224i 0.699331 + 0.714798i \(0.253481\pi\)
−0.319936 + 0.947439i \(0.603661\pi\)
\(678\) 4.88894e7 + 2.35439e7i 4.08452 + 1.96700i
\(679\) 6.08204e6 + 2.66472e7i 0.506262 + 2.21808i
\(680\) −2.04781e7 + 9.86172e6i −1.69831 + 0.817863i
\(681\) −2.70315e6 −0.223359
\(682\) −6.75056e6 −0.555749
\(683\) 1.28444e7 6.18554e6i 1.05357 0.507372i 0.174792 0.984605i \(-0.444075\pi\)
0.878776 + 0.477234i \(0.158361\pi\)
\(684\) 1.29706e7 5.68280e7i 1.06004 4.64432i
\(685\) 1.58183e6 1.98355e6i 0.128805 0.161516i
\(686\) 3.47815e7 + 4.36147e7i 2.82188 + 3.53852i
\(687\) −2.80263e7 −2.26555
\(688\) −2.71469e7 1.19972e6i −2.18650 0.0966291i
\(689\) −6.02284e6 −0.483340
\(690\) −8.89219e6 1.11505e7i −0.711027 0.891600i
\(691\) 3.12769e6 3.92199e6i 0.249189 0.312473i −0.641468 0.767150i \(-0.721674\pi\)
0.890656 + 0.454678i \(0.150246\pi\)
\(692\) 1.02839e7 4.50567e7i 0.816380 3.57679i
\(693\) −1.56384e7 + 7.53105e6i −1.23697 + 0.595693i
\(694\) −4.05890e7 −3.19897
\(695\) −9.64754e6 −0.757625
\(696\) −4.60195e7 + 2.21618e7i −3.60096 + 1.73413i
\(697\) −55252.7 242078.i −0.00430796 0.0188744i
\(698\) 2.56588e7 + 1.23566e7i 1.99342 + 0.959979i
\(699\) −4.26476e6 1.86851e7i −0.330143 1.44645i
\(700\) −1.68727e7 2.11577e7i −1.30149 1.63201i
\(701\) −7.14677e6 + 3.44170e6i −0.549306 + 0.264532i −0.687885 0.725819i \(-0.741461\pi\)
0.138579 + 0.990351i \(0.455747\pi\)
\(702\) −2.30478e7 2.89010e7i −1.76517 2.21345i
\(703\) 1.56416e6 6.85303e6i 0.119369 0.522991i
\(704\) −2.66182e6 1.28186e6i −0.202417 0.0974788i
\(705\) −2.87928e6 1.38659e6i −0.218178 0.105069i
\(706\) −1.18741e7 + 1.48897e7i −0.896583 + 1.12428i
\(707\) −4.35486e6 + 1.90799e7i −0.327661 + 1.43558i
\(708\) 7.99046e6 + 3.50085e7i 0.599085 + 2.62476i
\(709\) 3.28306e6 4.11682e6i 0.245280 0.307572i −0.643917 0.765095i \(-0.722692\pi\)
0.889198 + 0.457523i \(0.151263\pi\)
\(710\) 1.00992e7 1.26640e7i 0.751869 0.942814i
\(711\) −700498. 3.06908e6i −0.0519677 0.227685i
\(712\) 622561. 2.72762e6i 0.0460238 0.201643i
\(713\) 3.46932e6 4.35039e6i 0.255576 0.320483i
\(714\) −7.58685e7 3.65364e7i −5.56950 2.68213i
\(715\) 2.78970e6 + 1.34345e6i 0.204077 + 0.0982781i
\(716\) −4.03309e6 + 1.76701e7i −0.294006 + 1.28812i
\(717\) 1.24035e7 + 1.55535e7i 0.901047 + 1.12988i
\(718\) −1.87138e7 + 9.01207e6i −1.35472 + 0.652399i
\(719\) 4.49441e6 + 5.63581e6i 0.324228 + 0.406569i 0.917055 0.398761i \(-0.130560\pi\)
−0.592827 + 0.805330i \(0.701988\pi\)
\(720\) 9.90432e6 + 4.33936e7i 0.712022 + 3.11957i
\(721\) 7.93350e6 + 3.82057e6i 0.568364 + 0.273710i
\(722\) 70975.7 + 310965.i 0.00506718 + 0.0222008i
\(723\) −1.57643e7 + 7.59170e6i −1.12158 + 0.540124i
\(724\) 1.89961e7 1.34684
\(725\) 6.33969e6 0.447943
\(726\) −3.52912e7 + 1.69953e7i −2.48499 + 1.19671i
\(727\) 2.41924e6 1.05994e7i 0.169763 0.743780i −0.816330 0.577586i \(-0.803995\pi\)
0.986093 0.166194i \(-0.0531479\pi\)
\(728\) 3.46601e7 4.34624e7i 2.42383 3.03938i
\(729\) −7.93111e6 9.94530e6i −0.552733 0.693105i
\(730\) 1.54040e7 1.06986
\(731\) 1.52751e7 + 675061.i 1.05728 + 0.0467250i
\(732\) 8.74950e7 6.03539
\(733\) −2.03660e6 2.55382e6i −0.140006 0.175562i 0.706885 0.707328i \(-0.250100\pi\)
−0.846891 + 0.531767i \(0.821528\pi\)
\(734\) 2.45568e7 3.07932e7i 1.68241 2.10967i
\(735\) −9.58277e6 + 4.19849e7i −0.654294 + 2.86665i
\(736\) 1.00684e7 4.84870e6i 0.685121 0.329937i
\(737\) −3.85606e6 −0.261502
\(738\) −1.00931e6 −0.0682157
\(739\) −1.93658e7 + 9.32607e6i −1.30444 + 0.628185i −0.951554 0.307481i \(-0.900514\pi\)
−0.352886 + 0.935666i \(0.614800\pi\)
\(740\) 3.02493e6 + 1.32531e7i 0.203065 + 0.889688i
\(741\) −1.99664e7 9.61530e6i −1.33584 0.643305i
\(742\) 6.31487e6 + 2.76673e7i 0.421070 + 1.84483i
\(743\) −3.16172e6 3.96467e6i −0.210112 0.263472i 0.665597 0.746311i \(-0.268177\pi\)
−0.875709 + 0.482839i \(0.839606\pi\)
\(744\) −4.84268e7 + 2.33211e7i −3.20740 + 1.54460i
\(745\) 1.86488e6 + 2.33849e6i 0.123101 + 0.154363i
\(746\) −8.29278e6 + 3.63330e7i −0.545573 + 2.39031i
\(747\) 3.37635e7 + 1.62596e7i 2.21384 + 1.06613i
\(748\) 1.26554e7 + 6.09451e6i 0.827030 + 0.398277i
\(749\) 2.88755e7 3.62087e7i 1.88072 2.35835i
\(750\) 1.16598e7 5.10850e7i 0.756900 3.31620i
\(751\) 1.41213e6 + 6.18694e6i 0.0913638 + 0.400291i 0.999844 0.0176358i \(-0.00561394\pi\)
−0.908481 + 0.417927i \(0.862757\pi\)
\(752\) 4.09579e6 5.13596e6i 0.264115 0.331190i
\(753\) 1.87128e7 2.34651e7i 1.20268 1.50812i
\(754\) 5.03759e6 + 2.20711e7i 0.322697 + 1.41383i
\(755\) 2.15271e6 9.43164e6i 0.137442 0.602171i
\(756\) −7.62228e7 + 9.55804e7i −4.85043 + 6.08225i
\(757\) 6.91861e6 + 3.33183e6i 0.438813 + 0.211321i 0.640228 0.768185i \(-0.278840\pi\)
−0.201415 + 0.979506i \(0.564554\pi\)
\(758\) −4.26147e7 2.05222e7i −2.69393 1.29733i
\(759\) −1.12823e6 + 4.94310e6i −0.0710875 + 0.311454i
\(760\) 1.75727e7 +