Properties

Label 43.6.e.a.4.18
Level 43
Weight 6
Character 43.4
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 4.18
Character \(\chi\) \(=\) 43.4
Dual form 43.6.e.a.11.18

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{2}{7}\right)\)

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 0.256849 0.966452i \(-0.417316\pi\)
0.885066 0.465465i \(-0.154113\pi\)
\(3\) −16.9351 21.2360i −1.08639 1.36229i −0.926994 0.375075i \(-0.877617\pi\)
−0.159396 0.987215i \(-0.550955\pi\)
\(4\) −16.7646 73.4505i −0.523893 2.29533i
\(5\) 36.1651 + 17.4162i 0.646941 + 0.311550i 0.728426 0.685124i \(-0.240252\pi\)
−0.0814855 + 0.996675i \(0.525966\pi\)
\(6\) −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 −0.999234 0.0391295i \(-0.987542\pi\)
0.917257 + 0.398297i \(0.130399\pi\)
\(12\) −1275.88 + 1599.91i −2.55775 + 3.20732i
\(13\) −470.081 226.379i −0.771461 0.371516i 0.00637794 0.999980i \(-0.497970\pi\)
−0.777839 + 0.628464i \(0.783684\pi\)
\(14\) 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 0.108594 0.994086i \(-0.465365\pi\)
0.844915 + 0.534900i \(0.179651\pi\)
\(18\) 3196.02 + 4007.68i 2.32503 + 2.91549i
\(19\) 347.967 + 1524.54i 0.221133 + 0.968848i 0.956627 + 0.291316i \(0.0940932\pi\)
−0.735494 + 0.677532i \(0.763050\pi\)
\(20\) 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 −0.888891 0.458118i \(-0.848524\pi\)
0.999633 0.0270743i \(-0.00861907\pi\)
\(24\) 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 −0.981522 0.191350i \(-0.938713\pi\)
0.404962 + 0.914334i \(0.367285\pi\)
\(30\) −10177.2 4901.08i −2.06455 0.994235i
\(31\) −2747.79 + 3445.62i −0.513546 + 0.643966i −0.969225 0.246178i \(-0.920825\pi\)
0.455679 + 0.890144i \(0.349397\pi\)
\(32\) −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 −0.787502 0.616313i \(-0.788626\pi\)
0.776096 + 0.630615i \(0.217197\pi\)
\(42\) −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 0.948818 0.315825i \(-0.102281\pi\)
−0.991886 + 0.127128i \(0.959424\pi\)
\(48\) 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 −0.161954 0.986798i \(-0.551780\pi\)
0.670533 + 0.741880i \(0.266065\pi\)
\(54\) 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 −0.705503 0.708707i \(-0.749279\pi\)
0.114215 + 0.993456i \(0.463565\pi\)
\(60\) −74006.7 + 35639.8i −2.65395 + 1.27808i
\(61\) −26658.2 33428.3i −0.917290 1.15024i −0.988262 0.152767i \(-0.951182\pi\)
0.0709726 0.997478i \(-0.477390\pi\)
\(62\) 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 0.990435 + 0.137978i \(0.0440604\pi\)
−0.832485 + 0.554048i \(0.813082\pi\)
\(68\) −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 0.968444 + 0.249233i \(0.0801785\pi\)
−0.764399 + 0.644743i \(0.776964\pi\)
\(72\) 138514. 173690.i 3.14892 3.94861i
\(73\) 33372.0 + 16071.1i 0.732952 + 0.352971i 0.762845 0.646582i \(-0.223802\pi\)
−0.0298924 + 0.999553i \(0.509516\pi\)
\(74\) 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 0.247238 0.968955i \(-0.420477\pi\)
−0.999677 + 0.0254266i \(0.991906\pi\)
\(84\) −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 0.755158 0.655543i \(-0.227560\pi\)
−0.807146 + 0.590352i \(0.798989\pi\)
\(90\) 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 −0.625472 0.780247i \(-0.715094\pi\)
0.902067 0.431596i \(-0.142049\pi\)
\(98\) 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 −0.982085 0.188438i \(-0.939658\pi\)
0.803068 0.595888i \(-0.203200\pi\)
\(102\) −319732. + 153975.i −3.04289 + 1.46538i
\(103\) 33434.1 16101.0i 0.310525 0.149541i −0.272130 0.962260i \(-0.587728\pi\)
0.582655 + 0.812720i \(0.302014\pi\)
\(104\) 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 0.956726 + 0.290990i \(0.0939845\pi\)
0.0708023 + 0.997490i \(0.477444\pi\)
\(108\) −321225. 402803.i −2.65003 3.32303i
\(109\) −49006.6 + 214712.i −0.395083 + 1.73097i 0.251254 + 0.967921i \(0.419157\pi\)
−0.646337 + 0.763052i \(0.723700\pi\)
\(110\) 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 −0.945367 0.326008i \(-0.894297\pi\)
−0.334544 + 0.942380i \(0.608582\pi\)
\(114\) −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 −0.552461 0.833539i \(-0.686311\pi\)
0.935574 + 0.353130i \(0.114883\pi\)
\(128\) −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 0.0844981 + 0.996424i \(0.473071\pi\)
−0.990244 + 0.139346i \(0.955500\pi\)
\(132\) −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 0.558978 0.829183i \(-0.311194\pi\)
−0.299764 + 0.954013i \(0.596908\pi\)
\(138\) −79062.5 + 346396.i −0.353405 + 1.54837i
\(139\) −216544. + 104282.i −0.950626 + 0.457797i −0.843906 0.536492i \(-0.819749\pi\)
−0.106720 + 0.994289i \(0.534035\pi\)
\(140\) 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 −0.935078 0.354443i \(-0.884670\pi\)
0.996263 + 0.0863727i \(0.0275276\pi\)
\(150\) 265599. + 333051.i 0.963825 + 1.20860i
\(151\) 150267. + 188429.i 0.536317 + 0.672521i 0.973984 0.226617i \(-0.0727664\pi\)
−0.437667 + 0.899137i \(0.644195\pi\)
\(152\) 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 0.883198 + 0.469000i \(0.155386\pi\)
−0.592243 + 0.805760i \(0.701757\pi\)
\(158\) 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 −0.837779 0.546010i \(-0.816146\pi\)
0.991717 0.128439i \(-0.0409967\pi\)
\(164\) 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 0.291287 0.956636i \(-0.405917\pi\)
−0.566314 + 0.824190i \(0.691631\pi\)
\(168\) 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 0.870547 + 0.492085i \(0.163765\pi\)
−0.997844 + 0.0656372i \(0.979092\pi\)
\(182\) −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 0.980166 0.198179i \(-0.0635028\pi\)
−0.969086 + 0.246725i \(0.920646\pi\)
\(192\) 120779. 529169.i 0.236450 1.03596i
\(193\) 64840.6 + 81307.5i 0.125301 + 0.157122i 0.840525 0.541773i \(-0.182247\pi\)
−0.715224 + 0.698895i \(0.753675\pi\)
\(194\) −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 0.632752 0.774355i \(-0.281925\pi\)
−0.895740 + 0.444577i \(0.853354\pi\)
\(198\) −682804. + 328821.i −1.23775 + 0.596069i
\(199\) 465476. 224162.i 0.833230 0.401262i 0.0319044 0.999491i \(-0.489843\pi\)
0.801326 + 0.598229i \(0.204128\pi\)
\(200\) 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 0.540896 + 0.841089i \(0.318085\pi\)
−0.122396 + 0.992481i \(0.539058\pi\)
\(212\) −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 0.123814 0.992305i \(-0.460487\pi\)
−0.698619 + 0.715494i \(0.746202\pi\)
\(224\) −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 −0.740262 0.672318i \(-0.765299\pi\)
0.820186 + 0.572097i \(0.193870\pi\)
\(228\) −2.88309e6 1.38842e6i −3.67300 1.76883i
\(229\) 643333. 806714.i 0.810676 1.01656i −0.188728 0.982029i \(-0.560436\pi\)
0.999404 0.0345260i \(-0.0109922\pi\)
\(230\) −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 0.441992 0.897019i \(-0.354272\pi\)
−0.972881 + 0.231305i \(0.925700\pi\)
\(234\) −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 0.979424 + 0.201815i \(0.0646840\pi\)
−0.794866 + 0.606785i \(0.792459\pi\)
\(240\) 1.52350e6 + 1.91041e6i 1.70732 + 2.14091i
\(241\) 580384. 279498.i 0.643685 0.309982i −0.0834142 0.996515i \(-0.526582\pi\)
0.727099 + 0.686533i \(0.240868\pi\)
\(242\) 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 0.438141 0.898906i \(-0.355637\pi\)
−0.429616 + 0.903011i \(0.641351\pi\)
\(264\) −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 −0.878364 0.477992i \(-0.841365\pi\)
0.998772 0.0495485i \(-0.0157782\pi\)
\(270\) 1.77315e6 2.22347e6i 1.48026 1.85618i
\(271\) 1.19839e6 + 577112.i 0.991227 + 0.477350i 0.857952 0.513729i \(-0.171736\pi\)
0.133275 + 0.991079i \(0.457451\pi\)
\(272\) −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 −0.978492 0.206284i \(-0.933863\pi\)
0.792088 0.610407i \(-0.208994\pi\)
\(278\) −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 −0.744162 0.667999i \(-0.767151\pi\)
0.960301 0.278967i \(-0.0899919\pi\)
\(282\) 183546. + 804168.i 0.137443 + 0.602177i
\(283\) 758742. + 951432.i 0.563155 + 0.706174i 0.979138 0.203198i \(-0.0651337\pi\)
−0.415982 + 0.909373i \(0.636562\pi\)
\(284\) 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 −0.211044 0.977477i \(-0.567686\pi\)
−0.895806 + 0.444446i \(0.853401\pi\)
\(294\) −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 −0.464917 0.885355i \(-0.653916\pi\)
0.402327 + 0.915496i \(0.368201\pi\)
\(312\) 1.41597e6 6.20379e6i 0.823510 3.60803i
\(313\) 228580. 286631.i 0.131880 0.165372i −0.711507 0.702679i \(-0.751987\pi\)
0.843387 + 0.537307i \(0.180558\pi\)
\(314\) 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 −0.947849 0.318720i \(-0.896747\pi\)
−0.341789 + 0.939777i \(0.611033\pi\)
\(318\) −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 0.403923 0.914793i \(-0.367646\pi\)
−0.463372 + 0.886164i \(0.653361\pi\)
\(332\) −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 −0.925370 0.379065i \(-0.876246\pi\)
−0.163647 0.986519i \(-0.552326\pi\)
\(348\) −1.90705e6 8.35534e6i −0.844140 3.69842i
\(349\) 2.47661e6 + 1.19267e6i 1.08841 + 0.524152i 0.889997 0.455966i \(-0.150706\pi\)
0.198416 + 0.980118i \(0.436420\pi\)
\(350\) −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 −0.809302 0.587392i \(-0.800155\pi\)
0.984016 0.178079i \(-0.0569883\pi\)
\(354\) 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 −0.980345 0.197292i \(-0.936785\pi\)
0.797658 0.603110i \(-0.206072\pi\)
\(360\) 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 0.495386 + 0.868673i \(0.335027\pi\)
−0.823230 + 0.567707i \(0.807831\pi\)
\(368\) 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 −0.163538 0.986537i \(-0.552291\pi\)
0.998193 0.0600874i \(-0.0191379\pi\)
\(374\) 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 −0.484817 0.874616i \(-0.661114\pi\)
−0.986080 + 0.166269i \(0.946828\pi\)
\(380\) 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 0.892125 + 0.451789i \(0.149214\pi\)
−0.607753 + 0.794126i \(0.707929\pi\)
\(384\) 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 −0.991295 0.131661i \(-0.957969\pi\)
0.348944 + 0.937143i \(0.386540\pi\)
\(390\) 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 −0.586412 0.810013i \(-0.699460\pi\)
0.267672 + 0.963510i \(0.413746\pi\)
\(398\) 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 0.184148 0.982899i \(-0.441047\pi\)
0.917278 0.398247i \(-0.130381\pi\)
\(402\) −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 0.461933 0.886915i \(-0.347156\pi\)
−0.967468 + 0.252995i \(0.918585\pi\)
\(410\) −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 −0.982950 0.183875i \(-0.941136\pi\)
0.965387 + 0.260820i \(0.0839928\pi\)
\(420\) −1.75609e7 + 8.45688e6i −4.85762 + 2.33931i
\(421\) −1.26732e6 + 5.55250e6i −0.348483 + 1.52680i 0.432143 + 0.901805i \(0.357757\pi\)
−0.780626 + 0.624998i \(0.785100\pi\)
\(422\) 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 −0.983723 0.179692i \(-0.942490\pi\)
0.0437118 0.999044i \(-0.486082\pi\)
\(434\) 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 −0.842066 0.539374i \(-0.818661\pi\)
0.992701 0.120601i \(-0.0384820\pi\)
\(440\) 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 0.451497 0.892272i \(-0.350890\pi\)
−0.416103 + 0.909318i \(0.636604\pi\)
\(444\) −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 0.904021 + 0.427489i \(0.140602\pi\)
−0.629014 + 0.777394i \(0.716541\pi\)
\(450\) 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 −0.748240 0.663429i \(-0.769101\pi\)
0.0521696 + 0.998638i \(0.483386\pi\)
\(458\) −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 −0.762964 0.646441i \(-0.776257\pi\)
0.800009 + 0.599988i \(0.204828\pi\)
\(462\) 2.19681e6 9.62484e6i 0.478836 2.09792i
\(463\) −3.46902e6 + 1.67059e6i −0.752064 + 0.362175i −0.770319 0.637659i \(-0.779903\pi\)
0.0182555 + 0.999833i \(0.494189\pi\)
\(464\) 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 −0.788414 0.615145i \(-0.789097\pi\)
0.775161 + 0.631764i \(0.217669\pi\)
\(488\) 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 0.747306 0.664480i \(-0.231347\pi\)
−0.814111 + 0.580709i \(0.802775\pi\)
\(492\) −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 −0.301107 0.953590i \(-0.597356\pi\)
0.557810 + 0.829969i \(0.311642\pi\)
\(500\) −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 0.472438 0.881364i \(-0.343374\pi\)
−0.394518 + 0.918888i \(0.629088\pi\)
\(504\) 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 −0.398670 0.917094i \(-0.630528\pi\)
−0.965580 + 0.260106i \(0.916242\pi\)
\(522\) −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 −0.852036 0.523484i \(-0.824632\pi\)
−0.320763 0.947159i \(-0.603939\pi\)
\(542\) 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 −0.746888 0.664949i \(-0.768453\pi\)
0.814476 + 0.580197i \(0.197025\pi\)
\(548\) 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 −0.971251 0.238059i \(-0.923489\pi\)
0.448214 + 0.893926i \(0.352060\pi\)
\(558\) −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 −0.868393 0.495876i \(-0.834847\pi\)
0.567243 0.823551i \(-0.308010\pi\)
\(564\) 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 −0.935196 0.354131i \(-0.884777\pi\)
−0.306214 + 0.951963i \(0.599062\pi\)
\(570\) 3.93058e6 1.72210e7i 0.506722 2.22009i
\(571\) 876621. 1.09925e6i 0.112518 0.141093i −0.722383 0.691493i \(-0.756953\pi\)
0.834901 + 0.550400i \(0.185525\pi\)
\(572\) −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 0.376259 0.926514i \(-0.377210\pi\)
−0.987010 + 0.160657i \(0.948639\pi\)
\(578\) −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 0.999900 0.0141152i \(-0.00449316\pi\)
−0.907003 + 0.421123i \(0.861636\pi\)
\(588\) −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 0.792031 + 0.610481i \(0.209024\pi\)
−0.978473 + 0.206375i \(0.933833\pi\)
\(594\) 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 0.924209 0.381888i \(-0.124726\pi\)
−0.577969 + 0.816059i \(0.696155\pi\)
\(600\) 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 0.669989 0.742371i \(-0.266299\pi\)
−0.162677 + 0.986679i \(0.552013\pi\)
\(608\) −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 −0.557906 0.829904i \(-0.688395\pi\)
0.862738 0.505652i \(-0.168748\pi\)
\(614\) −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 0.971736 + 0.236070i \(0.0758593\pi\)
−0.773077 + 0.634312i \(0.781284\pi\)
\(618\) −9.40867e6 + 4.53098e6i −0.990962 + 0.477222i
\(619\) −1.89060e6 + 910464.i −0.198323 + 0.0955072i −0.530409 0.847742i \(-0.677962\pi\)
0.332086 + 0.943249i \(0.392247\pi\)
\(620\) 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 −0.738281 0.674493i \(-0.764362\pi\)
0.821865 + 0.569682i \(0.192934\pi\)
\(632\) −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 0.912904 0.408173i \(-0.133834\pi\)
−0.999598 + 0.0283429i \(0.990977\pi\)
\(642\) −3.42446e7 4.29414e7i −3.27910 4.11186i
\(643\) −2.21820e6 + 2.78154e6i −0.211579 + 0.265312i −0.876285 0.481793i \(-0.839986\pi\)
0.664705 + 0.747106i \(0.268557\pi\)
\(644\) −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 −0.999936 0.0113263i \(-0.996395\pi\)
0.233549 + 0.972345i \(0.424966\pi\)
\(648\) 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 0.979822 0.199873i \(-0.0640529\pi\)
0.454642 + 0.890674i \(0.349767\pi\)
\(654\) 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 −0.382081 0.924129i \(-0.624792\pi\)
0.985980 + 0.166863i \(0.0533638\pi\)
\(660\) −2.70233e6 1.18397e7i −0.241479 1.05799i
\(661\) −5.70112e6 + 2.74551e6i −0.507524 + 0.244411i −0.670080 0.742289i \(-0.733740\pi\)
0.162557 + 0.986699i \(0.448026\pi\)
\(662\) −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 0.999691 0.0248575i \(-0.00791321\pi\)
−0.911476 + 0.411354i \(0.865056\pi\)
\(674\) 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 −0.319936 0.947439i \(-0.603661\pi\)
0.699331 0.714798i \(-0.253481\pi\)
\(678\) 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 0.878776 0.477234i \(-0.158361\pi\)
0.174792 + 0.984605i \(0.444075\pi\)
\(684\) 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 0.890656 0.454678i \(-0.150246\pi\)
−0.641468 + 0.767150i \(0.721674\pi\)
\(692\) 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 0.138579 0.990351i \(-0.455747\pi\)
−0.687885 + 0.725819i \(0.741461\pi\)
\(702\) −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 0.889198 0.457523i \(-0.151263\pi\)
−0.643917 + 0.765095i \(0.722692\pi\)
\(710\) 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 −0.592827 0.805330i \(-0.701988\pi\)
0.917055 + 0.398761i \(0.130560\pi\)
\(720\) 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 0.986093 + 0.166194i \(0.0531479\pi\)
−0.816330 + 0.577586i \(0.803995\pi\)
\(728\) 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 −0.846891 0.531767i \(-0.821528\pi\)
0.706885 + 0.707328i \(0.250100\pi\)
\(734\) 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 −0.352886 0.935666i \(-0.614800\pi\)
−0.951554 + 0.307481i \(0.900514\pi\)
\(740\) 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 −0.875709 0.482839i \(-0.839606\pi\)
0.665597 + 0.746311i \(0.268177\pi\)
\(744\) −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 −0.908481 0.417927i \(-0.862757\pi\)
0.999844 + 0.0176358i \(0.00561394\pi\)
\(752\) 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 −0.201415 0.979506i \(-0.564554\pi\)
0.640228 + 0.768185i \(0.278840\pi\)
\(758\) −4.26147e7 + 2.05222e7i −2.69393 + 1.29733i