Properties

Label 29.6.d.a.7.1
Level $29$
Weight $6$
Character 29.7
Analytic conductor $4.651$
Analytic rank $0$
Dimension $66$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 29 \)
Weight: \( k \) \(=\) \( 6 \)
Character orbit: \([\chi]\) \(=\) 29.d (of order \(7\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.65113077458\)
Analytic rank: \(0\)
Dimension: \(66\)
Relative dimension: \(11\) over \(\Q(\zeta_{7})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 7.1
Character \(\chi\) \(=\) 29.7
Dual form 29.6.d.a.25.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.41509 - 10.5812i) q^{2} +(0.690047 + 0.332309i) q^{3} +(-77.2985 + 37.2250i) q^{4} +(19.1233 + 83.7844i) q^{5} +(1.84971 - 8.10409i) q^{6} +(-158.450 - 76.3053i) q^{7} +(364.027 + 456.475i) q^{8} +(-151.142 - 189.526i) q^{9} +O(q^{10})\) \(q+(-2.41509 - 10.5812i) q^{2} +(0.690047 + 0.332309i) q^{3} +(-77.2985 + 37.2250i) q^{4} +(19.1233 + 83.7844i) q^{5} +(1.84971 - 8.10409i) q^{6} +(-158.450 - 76.3053i) q^{7} +(364.027 + 456.475i) q^{8} +(-151.142 - 189.526i) q^{9} +(840.357 - 404.695i) q^{10} +(16.8666 - 21.1500i) q^{11} -65.7098 q^{12} +(-511.423 + 641.304i) q^{13} +(-424.732 + 1860.87i) q^{14} +(-14.6464 + 64.1700i) q^{15} +(2239.15 - 2807.81i) q^{16} -554.010 q^{17} +(-1640.40 + 2056.99i) q^{18} +(10.6979 - 5.15182i) q^{19} +(-4597.07 - 5764.55i) q^{20} +(-83.9807 - 105.308i) q^{21} +(-264.528 - 127.390i) q^{22} +(370.089 - 1621.47i) q^{23} +(99.5047 + 435.959i) q^{24} +(-3838.61 + 1848.58i) q^{25} +(8020.91 + 3862.67i) q^{26} +(-82.7278 - 362.454i) q^{27} +15088.4 q^{28} +(-4508.40 - 430.668i) q^{29} +714.369 q^{30} +(1029.85 + 4512.08i) q^{31} +(-18284.7 - 8805.46i) q^{32} +(18.6671 - 8.98960i) q^{33} +(1337.99 + 5862.10i) q^{34} +(3363.13 - 14734.8i) q^{35} +(18738.2 + 9023.84i) q^{36} +(-584.821 - 733.342i) q^{37} +(-80.3490 - 100.754i) q^{38} +(-566.017 + 272.579i) q^{39} +(-31284.1 + 39229.1i) q^{40} -2228.94 q^{41} +(-911.471 + 1142.95i) q^{42} +(2404.61 - 10535.3i) q^{43} +(-516.452 + 2262.73i) q^{44} +(12989.0 - 16287.7i) q^{45} -18050.9 q^{46} +(-1498.10 + 1878.56i) q^{47} +(2478.18 - 1193.43i) q^{48} +(8804.78 + 11040.8i) q^{49} +(28830.8 + 36152.7i) q^{50} +(-382.293 - 184.103i) q^{51} +(15659.7 - 68609.6i) q^{52} +(-651.964 - 2856.44i) q^{53} +(-3635.41 + 1750.72i) q^{54} +(2094.59 + 1008.70i) q^{55} +(-22848.4 - 100105. i) q^{56} +9.09403 q^{57} +(6331.22 + 48744.5i) q^{58} -19070.4 q^{59} +(-1256.59 - 5505.46i) q^{60} +(27375.2 + 13183.2i) q^{61} +(45256.1 - 21794.2i) q^{62} +(9486.56 + 41563.3i) q^{63} +(-23440.5 + 102700. i) q^{64} +(-63511.4 - 30585.5i) q^{65} +(-140.204 - 175.810i) q^{66} +(-3024.86 - 3793.06i) q^{67} +(42824.1 - 20623.0i) q^{68} +(794.207 - 995.904i) q^{69} -164035. q^{70} +(-46785.9 + 58667.6i) q^{71} +(31494.3 - 137985. i) q^{72} +(13666.4 - 59876.4i) q^{73} +(-6347.26 + 7959.21i) q^{74} -3263.12 q^{75} +(-635.153 + 796.457i) q^{76} +(-4286.37 + 2064.21i) q^{77} +(4251.21 + 5330.84i) q^{78} +(57406.3 + 71985.3i) q^{79} +(278071. + 133912. i) q^{80} +(-13044.6 + 57151.9i) q^{81} +(5383.10 + 23584.9i) q^{82} +(25116.4 - 12095.4i) q^{83} +(10411.7 + 5014.01i) q^{84} +(-10594.5 - 46417.4i) q^{85} -117284. q^{86} +(-2967.89 - 1795.36i) q^{87} +15794.4 q^{88} +(15242.4 + 66781.3i) q^{89} +(-203714. - 98103.4i) q^{90} +(129970. - 62590.1i) q^{91} +(31751.8 + 139114. i) q^{92} +(-788.759 + 3455.78i) q^{93} +(23495.6 + 11314.9i) q^{94} +(636.221 + 797.796i) q^{95} +(-9691.19 - 12152.4i) q^{96} +(-141126. + 67962.8i) q^{97} +(95561.2 - 119830. i) q^{98} -6557.75 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} + O(q^{10}) \) \( 66q - 11q^{2} - 5q^{3} - 171q^{4} + 29q^{5} + 445q^{6} + 17q^{7} + 1046q^{8} - 732q^{9} - 141q^{10} + 1125q^{11} - 248q^{12} - 1789q^{13} + 1233q^{14} + 1061q^{15} + 2629q^{16} + 676q^{17} - 10896q^{18} - 1903q^{19} + 4081q^{20} - 439q^{21} - 2980q^{22} + 9945q^{23} + 10741q^{24} - 22114q^{25} - 1641q^{26} - 4427q^{27} + 7508q^{28} - 13100q^{29} - 40018q^{30} + 8541q^{31} + 18996q^{32} + 20725q^{33} - 8839q^{34} + 14127q^{35} + 70172q^{36} + 3791q^{37} + 36322q^{38} + 25843q^{39} - 72621q^{40} - 18720q^{41} - 72614q^{42} - 10419q^{43} + 35796q^{44} + 23163q^{45} + 15848q^{46} - 40549q^{47} - 4194q^{48} + 19808q^{49} + 201932q^{50} + 51998q^{51} + 8330q^{52} - 72275q^{53} - 197108q^{54} + 42183q^{55} + 31599q^{56} - 40162q^{57} - 258031q^{58} - 333512q^{59} + 26920q^{60} - 175281q^{61} + 213745q^{62} + 354423q^{63} - 19790q^{64} - 79593q^{65} + 103783q^{66} + 135179q^{67} + 334644q^{68} + 73673q^{69} - 511678q^{70} - 187563q^{71} - 17551q^{72} - 56675q^{73} + 159980q^{74} + 538208q^{75} - 215041q^{76} + 106099q^{77} + 37481q^{78} + 273775q^{79} + 571652q^{80} - 61356q^{81} - 37092q^{82} - 237831q^{83} + 127523q^{84} - 148844q^{85} - 348400q^{86} - 110493q^{87} - 985638q^{88} + 74239q^{89} - 630714q^{90} + 100309q^{91} + 132694q^{92} - 307921q^{93} + 206074q^{94} + 37965q^{95} + 687094q^{96} + 136055q^{97} - 115704q^{98} + 438608q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/29\mathbb{Z}\right)^\times\).

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.41509 10.5812i −0.426932 1.87051i −0.488748 0.872425i \(-0.662546\pi\)
0.0618152 0.998088i \(-0.480311\pi\)
\(3\) 0.690047 + 0.332309i 0.0442665 + 0.0213176i 0.455886 0.890038i \(-0.349322\pi\)
−0.411620 + 0.911356i \(0.635037\pi\)
\(4\) −77.2985 + 37.2250i −2.41558 + 1.16328i
\(5\) 19.1233 + 83.7844i 0.342087 + 1.49878i 0.794660 + 0.607054i \(0.207649\pi\)
−0.452573 + 0.891727i \(0.649494\pi\)
\(6\) 1.84971 8.10409i 0.0209761 0.0919023i
\(7\) −158.450 76.3053i −1.22221 0.588586i −0.292284 0.956331i \(-0.594415\pi\)
−0.929926 + 0.367746i \(0.880130\pi\)
\(8\) 364.027 + 456.475i 2.01098 + 2.52169i
\(9\) −151.142 189.526i −0.621985 0.779944i
\(10\) 840.357 404.695i 2.65744 1.27976i
\(11\) 16.8666 21.1500i 0.0420287 0.0527023i −0.760373 0.649487i \(-0.774984\pi\)
0.802402 + 0.596784i \(0.203555\pi\)
\(12\) −65.7098 −0.131728
\(13\) −511.423 + 641.304i −0.839309 + 1.05246i 0.158569 + 0.987348i \(0.449312\pi\)
−0.997878 + 0.0651123i \(0.979259\pi\)
\(14\) −424.732 + 1860.87i −0.579156 + 2.53745i
\(15\) −14.6464 + 64.1700i −0.0168075 + 0.0736384i
\(16\) 2239.15 2807.81i 2.18667 2.74200i
\(17\) −554.010 −0.464938 −0.232469 0.972604i \(-0.574680\pi\)
−0.232469 + 0.972604i \(0.574680\pi\)
\(18\) −1640.40 + 2056.99i −1.19335 + 1.49641i
\(19\) 10.6979 5.15182i 0.00679851 0.00327399i −0.430481 0.902599i \(-0.641656\pi\)
0.437280 + 0.899325i \(0.355942\pi\)
\(20\) −4597.07 5764.55i −2.56984 3.22248i
\(21\) −83.9807 105.308i −0.0415558 0.0521093i
\(22\) −264.528 127.390i −0.116524 0.0561149i
\(23\) 370.089 1621.47i 0.145877 0.639129i −0.848128 0.529792i \(-0.822270\pi\)
0.994005 0.109337i \(-0.0348728\pi\)
\(24\) 99.5047 + 435.959i 0.0352627 + 0.154496i
\(25\) −3838.61 + 1848.58i −1.22835 + 0.591544i
\(26\) 8020.91 + 3862.67i 2.32697 + 1.12061i
\(27\) −82.7278 362.454i −0.0218395 0.0956850i
\(28\) 15088.4 3.63704
\(29\) −4508.40 430.668i −0.995468 0.0950927i
\(30\) 714.369 0.144917
\(31\) 1029.85 + 4512.08i 0.192474 + 0.843282i 0.975272 + 0.221007i \(0.0709343\pi\)
−0.782799 + 0.622275i \(0.786209\pi\)
\(32\) −18284.7 8805.46i −3.15656 1.52012i
\(33\) 18.6671 8.98960i 0.00298395 0.00143700i
\(34\) 1337.99 + 5862.10i 0.198497 + 0.869673i
\(35\) 3363.13 14734.8i 0.464059 2.03317i
\(36\) 18738.2 + 9023.84i 2.40975 + 1.16047i
\(37\) −584.821 733.342i −0.0702293 0.0880648i 0.745476 0.666533i \(-0.232222\pi\)
−0.815705 + 0.578468i \(0.803651\pi\)
\(38\) −80.3490 100.754i −0.00902654 0.0113189i
\(39\) −566.017 + 272.579i −0.0595893 + 0.0286967i
\(40\) −31284.1 + 39229.1i −3.09154 + 3.87666i
\(41\) −2228.94 −0.207080 −0.103540 0.994625i \(-0.533017\pi\)
−0.103540 + 0.994625i \(0.533017\pi\)
\(42\) −911.471 + 1142.95i −0.0797296 + 0.0999777i
\(43\) 2404.61 10535.3i 0.198323 0.868911i −0.773611 0.633660i \(-0.781552\pi\)
0.971935 0.235251i \(-0.0755912\pi\)
\(44\) −516.452 + 2262.73i −0.0402160 + 0.176198i
\(45\) 12989.0 16287.7i 0.956193 1.19903i
\(46\) −18050.9 −1.25778
\(47\) −1498.10 + 1878.56i −0.0989230 + 0.124046i −0.828829 0.559502i \(-0.810992\pi\)
0.729906 + 0.683548i \(0.239564\pi\)
\(48\) 2478.18 1193.43i 0.155249 0.0747642i
\(49\) 8804.78 + 11040.8i 0.523876 + 0.656920i
\(50\) 28830.8 + 36152.7i 1.63092 + 2.04510i
\(51\) −382.293 184.103i −0.0205812 0.00991138i
\(52\) 15659.7 68609.6i 0.803109 3.51865i
\(53\) −651.964 2856.44i −0.0318811 0.139680i 0.956483 0.291789i \(-0.0942506\pi\)
−0.988364 + 0.152109i \(0.951393\pi\)
\(54\) −3635.41 + 1750.72i −0.169656 + 0.0817020i
\(55\) 2094.59 + 1008.70i 0.0933667 + 0.0449630i
\(56\) −22848.4 100105.i −0.973613 4.26568i
\(57\) 9.09403 0.000370740
\(58\) 6331.22 + 48744.5i 0.247125 + 1.90263i
\(59\) −19070.4 −0.713229 −0.356614 0.934252i \(-0.616069\pi\)
−0.356614 + 0.934252i \(0.616069\pi\)
\(60\) −1256.59 5505.46i −0.0450623 0.197431i
\(61\) 27375.2 + 13183.2i 0.941962 + 0.453625i 0.840861 0.541251i \(-0.182049\pi\)
0.101101 + 0.994876i \(0.467763\pi\)
\(62\) 45256.1 21794.2i 1.49520 0.720049i
\(63\) 9486.56 + 41563.3i 0.301132 + 1.31935i
\(64\) −23440.5 + 102700.i −0.715349 + 3.13415i
\(65\) −63511.4 30585.5i −1.86452 0.897908i
\(66\) −140.204 175.810i −0.00396186 0.00496802i
\(67\) −3024.86 3793.06i −0.0823225 0.103229i 0.738965 0.673744i \(-0.235315\pi\)
−0.821287 + 0.570515i \(0.806744\pi\)
\(68\) 42824.1 20623.0i 1.12309 0.540854i
\(69\) 794.207 995.904i 0.0200822 0.0251823i
\(70\) −164035. −4.00120
\(71\) −46785.9 + 58667.6i −1.10146 + 1.38119i −0.184205 + 0.982888i \(0.558971\pi\)
−0.917255 + 0.398300i \(0.869600\pi\)
\(72\) 31494.3 137985.i 0.715979 3.13691i
\(73\) 13666.4 59876.4i 0.300156 1.31507i −0.569736 0.821828i \(-0.692955\pi\)
0.869892 0.493242i \(-0.164188\pi\)
\(74\) −6347.26 + 7959.21i −0.134743 + 0.168963i
\(75\) −3263.12 −0.0669853
\(76\) −635.153 + 796.457i −0.0126138 + 0.0158171i
\(77\) −4286.37 + 2064.21i −0.0823877 + 0.0396758i
\(78\) 4251.21 + 5330.84i 0.0791181 + 0.0992109i
\(79\) 57406.3 + 71985.3i 1.03489 + 1.29770i 0.953620 + 0.301012i \(0.0973245\pi\)
0.0812648 + 0.996693i \(0.474104\pi\)
\(80\) 278071. + 133912.i 4.85770 + 2.33934i
\(81\) −13044.6 + 57151.9i −0.220911 + 0.967873i
\(82\) 5383.10 + 23584.9i 0.0884093 + 0.387347i
\(83\) 25116.4 12095.4i 0.400186 0.192720i −0.222955 0.974829i \(-0.571570\pi\)
0.623142 + 0.782109i \(0.285856\pi\)
\(84\) 10411.7 + 5014.01i 0.160999 + 0.0775330i
\(85\) −10594.5 46417.4i −0.159049 0.696841i
\(86\) −117284. −1.70998
\(87\) −2967.89 1795.36i −0.0420388 0.0254305i
\(88\) 15794.4 0.217418
\(89\) 15242.4 + 66781.3i 0.203976 + 0.893675i 0.968487 + 0.249065i \(0.0801233\pi\)
−0.764511 + 0.644610i \(0.777020\pi\)
\(90\) −203714. 98103.4i −2.65103 1.27667i
\(91\) 129970. 62590.1i 1.64528 0.792323i
\(92\) 31751.8 + 139114.i 0.391109 + 1.71356i
\(93\) −788.759 + 3455.78i −0.00945664 + 0.0414322i
\(94\) 23495.6 + 11314.9i 0.274262 + 0.132078i
\(95\) 636.221 + 797.796i 0.00723268 + 0.00906949i
\(96\) −9691.19 12152.4i −0.107325 0.134581i
\(97\) −141126. + 67962.8i −1.52292 + 0.733401i −0.993379 0.114881i \(-0.963351\pi\)
−0.529544 + 0.848282i \(0.677637\pi\)
\(98\) 95561.2 119830.i 1.00512 1.26038i
\(99\) −6557.75 −0.0672460
\(100\) 227905. 285784.i 2.27905 2.85784i
\(101\) −245.589 + 1076.00i −0.00239556 + 0.0104956i −0.976112 0.217270i \(-0.930285\pi\)
0.973716 + 0.227766i \(0.0731420\pi\)
\(102\) −1024.76 + 4489.75i −0.00975259 + 0.0427289i
\(103\) 78794.5 98805.2i 0.731818 0.917671i −0.267124 0.963662i \(-0.586073\pi\)
0.998942 + 0.0459916i \(0.0146448\pi\)
\(104\) −478911. −4.34182
\(105\) 7217.23 9050.12i 0.0638847 0.0801089i
\(106\) −28650.1 + 13797.1i −0.247663 + 0.119268i
\(107\) 60540.4 + 75915.2i 0.511194 + 0.641017i 0.968713 0.248183i \(-0.0798334\pi\)
−0.457519 + 0.889200i \(0.651262\pi\)
\(108\) 19887.1 + 24937.6i 0.164063 + 0.205729i
\(109\) −147706. 71131.6i −1.19078 0.573451i −0.269748 0.962931i \(-0.586941\pi\)
−0.921035 + 0.389480i \(0.872655\pi\)
\(110\) 5614.66 24599.4i 0.0442427 0.193840i
\(111\) −159.858 700.382i −0.00123148 0.00539545i
\(112\) −569044. + 274037.i −4.28648 + 2.06426i
\(113\) −32842.1 15815.9i −0.241955 0.116519i 0.308977 0.951070i \(-0.400013\pi\)
−0.550932 + 0.834550i \(0.685728\pi\)
\(114\) −21.9629 96.2260i −0.000158281 0.000693474i
\(115\) 142931. 1.00782
\(116\) 364524. 134535.i 2.51525 0.928306i
\(117\) 198842. 1.34290
\(118\) 46056.7 + 201788.i 0.304500 + 1.33410i
\(119\) 87782.7 + 42273.9i 0.568252 + 0.273656i
\(120\) −34623.7 + 16673.9i −0.219493 + 0.105702i
\(121\) 35674.4 + 156300.i 0.221510 + 0.970498i
\(122\) 73380.8 321502.i 0.446357 1.95562i
\(123\) −1538.07 740.698i −0.00916673 0.00441447i
\(124\) −247568. 310441.i −1.44591 1.81311i
\(125\) −60844.3 76296.3i −0.348293 0.436746i
\(126\) 416880. 200759.i 2.33929 1.12654i
\(127\) −100927. + 126559.i −0.555263 + 0.696277i −0.977674 0.210127i \(-0.932612\pi\)
0.422411 + 0.906404i \(0.361184\pi\)
\(128\) 493875. 2.66435
\(129\) 5160.27 6470.77i 0.0273022 0.0342359i
\(130\) −170246. + 745895.i −0.883522 + 3.87096i
\(131\) 82930.6 363343.i 0.422218 1.84986i −0.0970991 0.995275i \(-0.530956\pi\)
0.519317 0.854582i \(-0.326186\pi\)
\(132\) −1108.30 + 1389.77i −0.00553634 + 0.00694235i
\(133\) −2088.19 −0.0102362
\(134\) −32829.9 + 41167.3i −0.157945 + 0.198057i
\(135\) 28786.0 13862.6i 0.135940 0.0654652i
\(136\) −201674. 252892.i −0.934983 1.17243i
\(137\) −204586. 256543.i −0.931270 1.16778i −0.985573 0.169251i \(-0.945865\pi\)
0.0543033 0.998524i \(-0.482706\pi\)
\(138\) −12456.0 5998.48i −0.0556775 0.0268129i
\(139\) 13934.2 61049.7i 0.0611709 0.268007i −0.935089 0.354412i \(-0.884681\pi\)
0.996260 + 0.0864054i \(0.0275380\pi\)
\(140\) 288539. + 1.26417e6i 1.24418 + 5.45112i
\(141\) −1658.03 + 798.463i −0.00702334 + 0.00338226i
\(142\) 733767. + 353364.i 3.05378 + 1.47062i
\(143\) 4937.65 + 21633.2i 0.0201920 + 0.0884670i
\(144\) −870585. −3.49869
\(145\) −50132.0 385970.i −0.198014 1.52452i
\(146\) −666571. −2.58800
\(147\) 2406.74 + 10544.6i 0.00918619 + 0.0402473i
\(148\) 72504.4 + 34916.3i 0.272089 + 0.131031i
\(149\) −322180. + 155154.i −1.18886 + 0.572527i −0.920482 0.390785i \(-0.872203\pi\)
−0.268383 + 0.963312i \(0.586489\pi\)
\(150\) 7880.74 + 34527.8i 0.0285982 + 0.125297i
\(151\) −38935.1 + 170586.i −0.138963 + 0.608836i 0.856701 + 0.515813i \(0.172510\pi\)
−0.995664 + 0.0930228i \(0.970347\pi\)
\(152\) 6245.99 + 3007.91i 0.0219277 + 0.0105598i
\(153\) 83734.3 + 105000.i 0.289184 + 0.362626i
\(154\) 32193.8 + 40369.7i 0.109388 + 0.137168i
\(155\) −358348. + 172571.i −1.19805 + 0.576952i
\(156\) 33605.5 42140.0i 0.110560 0.138638i
\(157\) −20207.3 −0.0654274 −0.0327137 0.999465i \(-0.510415\pi\)
−0.0327137 + 0.999465i \(0.510415\pi\)
\(158\) 623050. 781280.i 1.98555 2.48980i
\(159\) 499.335 2187.73i 0.00156639 0.00686279i
\(160\) 388097. 1.70037e6i 1.19851 5.25100i
\(161\) −182367. + 228681.i −0.554475 + 0.695289i
\(162\) 636241. 1.90473
\(163\) −286909. + 359773.i −0.845815 + 1.06062i 0.151577 + 0.988445i \(0.451565\pi\)
−0.997392 + 0.0721727i \(0.977007\pi\)
\(164\) 172294. 82972.4i 0.500219 0.240893i
\(165\) 1110.16 + 1392.10i 0.00317451 + 0.00398072i
\(166\) −188643. 236551.i −0.531337 0.666276i
\(167\) 303292. + 146058.i 0.841530 + 0.405260i 0.804427 0.594052i \(-0.202473\pi\)
0.0371035 + 0.999311i \(0.488187\pi\)
\(168\) 17499.5 76670.2i 0.0478357 0.209582i
\(169\) −67097.1 293971.i −0.180712 0.791751i
\(170\) −465566. + 224205.i −1.23555 + 0.595008i
\(171\) −2593.31 1248.87i −0.00678209 0.00326608i
\(172\) 206303. + 903874.i 0.531723 + 2.32963i
\(173\) −642789. −1.63288 −0.816438 0.577433i \(-0.804055\pi\)
−0.816438 + 0.577433i \(0.804055\pi\)
\(174\) −11829.4 + 35739.9i −0.0296203 + 0.0894912i
\(175\) 749282. 1.84948
\(176\) −21618.4 94716.4i −0.0526068 0.230485i
\(177\) −13159.4 6337.25i −0.0315722 0.0152043i
\(178\) 669816. 322566.i 1.58455 0.763078i
\(179\) −97542.8 427363.i −0.227542 0.996929i −0.951636 0.307227i \(-0.900599\pi\)
0.724094 0.689702i \(-0.242258\pi\)
\(180\) −397722. + 1.74253e6i −0.914952 + 4.00867i
\(181\) −18462.4 8891.01i −0.0418881 0.0201723i 0.412822 0.910812i \(-0.364543\pi\)
−0.454711 + 0.890639i \(0.650257\pi\)
\(182\) −976169. 1.22408e6i −2.18447 2.73924i
\(183\) 14509.3 + 18194.1i 0.0320272 + 0.0401608i
\(184\) 874882. 421321.i 1.90504 0.917421i
\(185\) 50259.0 63022.8i 0.107965 0.135384i
\(186\) 38471.3 0.0815369
\(187\) −9344.26 + 11717.3i −0.0195407 + 0.0245033i
\(188\) 45871.7 200977.i 0.0946565 0.414717i
\(189\) −14549.0 + 63743.3i −0.0296264 + 0.129802i
\(190\) 6905.12 8658.75i 0.0138767 0.0174009i
\(191\) −219622. −0.435605 −0.217802 0.975993i \(-0.569889\pi\)
−0.217802 + 0.975993i \(0.569889\pi\)
\(192\) −50303.1 + 63078.1i −0.0984786 + 0.123488i
\(193\) 114335. 55060.8i 0.220946 0.106402i −0.320137 0.947371i \(-0.603729\pi\)
0.541083 + 0.840969i \(0.318015\pi\)
\(194\) 1.05996e6 + 1.32915e6i 2.02202 + 2.53554i
\(195\) −33662.0 42210.8i −0.0633948 0.0794945i
\(196\) −1.09159e6 525683.i −2.02965 0.977426i
\(197\) 38283.9 167733.i 0.0702831 0.307930i −0.927552 0.373694i \(-0.878091\pi\)
0.997835 + 0.0657635i \(0.0209483\pi\)
\(198\) 15837.6 + 69389.0i 0.0287095 + 0.125785i
\(199\) 204573. 98517.0i 0.366197 0.176351i −0.241731 0.970343i \(-0.577715\pi\)
0.607928 + 0.793992i \(0.292001\pi\)
\(200\) −2.24119e6 1.07930e6i −3.96189 1.90795i
\(201\) −826.830 3622.58i −0.00144353 0.00632452i
\(202\) 11978.5 0.0206549
\(203\) 681492. + 412254.i 1.16070 + 0.702142i
\(204\) 36403.9 0.0612452
\(205\) −42624.6 186751.i −0.0708396 0.310368i
\(206\) −1.23578e6 595118.i −2.02895 0.977091i
\(207\) −363247. + 174931.i −0.589218 + 0.283753i
\(208\) 655506. + 2.87196e6i 1.05055 + 4.60277i
\(209\) 71.4754 313.154i 0.000113186 0.000495898i
\(210\) −113192. 54510.2i −0.177119 0.0852961i
\(211\) 488453. + 612501.i 0.755295 + 0.947110i 0.999746 0.0225517i \(-0.00717904\pi\)
−0.244451 + 0.969662i \(0.578608\pi\)
\(212\) 156727. + 196529.i 0.239499 + 0.300322i
\(213\) −51780.2 + 24936.0i −0.0782015 + 0.0376598i
\(214\) 657065. 823933.i 0.980785 1.22987i
\(215\) 928678. 1.37015
\(216\) 135336. 169706.i 0.197369 0.247493i
\(217\) 181116. 793521.i 0.261100 1.14396i
\(218\) −395934. + 1.73470e6i −0.564264 + 2.47220i
\(219\) 29327.9 36776.1i 0.0413210 0.0518150i
\(220\) −199457. −0.277839
\(221\) 283333. 355289.i 0.390227 0.489329i
\(222\) −7024.82 + 3382.98i −0.00956650 + 0.00460698i
\(223\) −300241. 376490.i −0.404303 0.506980i 0.537445 0.843299i \(-0.319390\pi\)
−0.941748 + 0.336319i \(0.890818\pi\)
\(224\) 2.22530e6 + 2.79044e6i 2.96326 + 3.71581i
\(225\) 930530. + 448120.i 1.22539 + 0.590116i
\(226\) −88035.0 + 385706.i −0.114653 + 0.502326i
\(227\) −103191. 452109.i −0.132916 0.582343i −0.996890 0.0788065i \(-0.974889\pi\)
0.863974 0.503537i \(-0.167968\pi\)
\(228\) −702.955 + 338.525i −0.000895551 + 0.000431275i
\(229\) 138509. + 66702.5i 0.174538 + 0.0840530i 0.519113 0.854706i \(-0.326263\pi\)
−0.344575 + 0.938759i \(0.611977\pi\)
\(230\) −345192. 1.51238e6i −0.430270 1.88514i
\(231\) −3643.75 −0.00449281
\(232\) −1.44459e6 2.21475e6i −1.76208 2.70150i
\(233\) −62645.9 −0.0755967 −0.0377983 0.999285i \(-0.512034\pi\)
−0.0377983 + 0.999285i \(0.512034\pi\)
\(234\) −480222. 2.10399e6i −0.573326 2.51191i
\(235\) −186043. 89593.6i −0.219758 0.105830i
\(236\) 1.47411e6 709894.i 1.72286 0.829685i
\(237\) 15691.7 + 68749.9i 0.0181468 + 0.0795062i
\(238\) 235306. 1.03094e6i 0.269272 1.17976i
\(239\) 345520. + 166394.i 0.391272 + 0.188427i 0.619168 0.785259i \(-0.287470\pi\)
−0.227896 + 0.973686i \(0.573184\pi\)
\(240\) 147382. + 184811.i 0.165164 + 0.207109i
\(241\) 704854. + 883859.i 0.781730 + 0.980258i 0.999990 + 0.00436765i \(0.00139027\pi\)
−0.218261 + 0.975891i \(0.570038\pi\)
\(242\) 1.56768e6 754957.i 1.72076 0.828674i
\(243\) −84320.4 + 105734.i −0.0916045 + 0.114868i
\(244\) −2.60681e6 −2.80308
\(245\) −756675. + 948841.i −0.805368 + 1.00990i
\(246\) −4122.89 + 18063.6i −0.00434374 + 0.0190312i
\(247\) −2167.25 + 9495.35i −0.00226031 + 0.00990304i
\(248\) −1.68476e6 + 2.11262e6i −1.73944 + 2.18119i
\(249\) 21350.9 0.0218232
\(250\) −660363. + 828069.i −0.668241 + 0.837947i
\(251\) −1.56470e6 + 753520.i −1.56764 + 0.754937i −0.997767 0.0667939i \(-0.978723\pi\)
−0.569876 + 0.821731i \(0.693009\pi\)
\(252\) −2.28049e6 2.85965e6i −2.26218 2.83668i
\(253\) −28052.0 35176.0i −0.0275525 0.0345498i
\(254\) 1.58289e6 + 762281.i 1.53946 + 0.741363i
\(255\) 8114.25 35550.8i 0.00781444 0.0342373i
\(256\) −442657. 1.93941e6i −0.422151 1.84956i
\(257\) −902312. + 434530.i −0.852165 + 0.410381i −0.808381 0.588660i \(-0.799656\pi\)
−0.0437843 + 0.999041i \(0.513941\pi\)
\(258\) −80931.2 38974.4i −0.0756949 0.0364527i
\(259\) 36706.7 + 160823.i 0.0340014 + 0.148970i
\(260\) 6.04788e6 5.54843
\(261\) 599787. + 919553.i 0.544999 + 0.835556i
\(262\) −4.04489e6 −3.64044
\(263\) −362876. 1.58986e6i −0.323496 1.41733i −0.831284 0.555847i \(-0.812394\pi\)
0.507788 0.861482i \(-0.330463\pi\)
\(264\) 10898.9 + 5248.61i 0.00962434 + 0.00463484i
\(265\) 226857. 109249.i 0.198444 0.0955657i
\(266\) 5043.16 + 22095.5i 0.00437018 + 0.0191470i
\(267\) −11674.1 + 51147.4i −0.0100218 + 0.0439082i
\(268\) 375014. + 180597.i 0.318941 + 0.153594i
\(269\) 663073. + 831467.i 0.558703 + 0.700591i 0.978317 0.207111i \(-0.0664062\pi\)
−0.419615 + 0.907702i \(0.637835\pi\)
\(270\) −216204. 271111.i −0.180491 0.226328i
\(271\) −781409. + 376307.i −0.646332 + 0.311257i −0.728178 0.685388i \(-0.759633\pi\)
0.0818464 + 0.996645i \(0.473918\pi\)
\(272\) −1.24051e6 + 1.55555e6i −1.01667 + 1.27486i
\(273\) 110484. 0.0897211
\(274\) −2.22045e6 + 2.78435e6i −1.78675 + 2.24051i
\(275\) −25646.8 + 112366.i −0.0204504 + 0.0895989i
\(276\) −24318.5 + 106546.i −0.0192160 + 0.0841910i
\(277\) 781007. 979352.i 0.611583 0.766901i −0.375550 0.926802i \(-0.622546\pi\)
0.987133 + 0.159901i \(0.0511175\pi\)
\(278\) −679632. −0.527426
\(279\) 699505. 877151.i 0.537997 0.674627i
\(280\) 7.95035e6 3.82869e6i 6.06026 2.91847i
\(281\) −500936. 628154.i −0.378457 0.474570i 0.555725 0.831366i \(-0.312441\pi\)
−0.934182 + 0.356796i \(0.883869\pi\)
\(282\) 12453.0 + 15615.6i 0.00932505 + 0.0116932i
\(283\) −1.08034e6 520265.i −0.801853 0.386152i −0.0123693 0.999923i \(-0.503937\pi\)
−0.789484 + 0.613771i \(0.789652\pi\)
\(284\) 1.43258e6 6.27652e6i 1.05395 4.61767i
\(285\) 173.907 + 761.939i 0.000126825 + 0.000555658i
\(286\) 216981. 104493.i 0.156858 0.0755389i
\(287\) 353175. + 170080.i 0.253096 + 0.121885i
\(288\) 1.09473e6 + 4.79632e6i 0.777723 + 3.40743i
\(289\) −1.11293e6 −0.783832
\(290\) −3.96296e6 + 1.46261e6i −2.76710 + 1.02125i
\(291\) −119968. −0.0830489
\(292\) 1.17251e6 + 5.13709e6i 0.804745 + 3.52582i
\(293\) −463510. 223215.i −0.315421 0.151899i 0.269474 0.963008i \(-0.413150\pi\)
−0.584895 + 0.811109i \(0.698864\pi\)
\(294\) 105762. 50932.5i 0.0713613 0.0343658i
\(295\) −364687. 1.59780e6i −0.243986 1.06897i
\(296\) 121862. 533913.i 0.0808424 0.354194i
\(297\) −9061.26 4363.67i −0.00596070 0.00287052i
\(298\) 2.41981e6 + 3.03434e6i 1.57848 + 1.97936i
\(299\) 850581. + 1.06660e6i 0.550222 + 0.689956i
\(300\) 252234. 121470.i 0.161808 0.0779227i
\(301\) −1.18491e6 + 1.48583e6i −0.753821 + 0.945262i
\(302\) 1.89904e6 1.19816
\(303\) −527.032 + 660.877i −0.000329785 + 0.000413537i
\(304\) 9488.84 41573.3i 0.00588883 0.0258007i
\(305\) −581045. + 2.54573e6i −0.357652 + 1.56697i
\(306\) 908797. 1.13960e6i 0.554834 0.695740i
\(307\) 2.39552e6 1.45062 0.725309 0.688423i \(-0.241697\pi\)
0.725309 + 0.688423i \(0.241697\pi\)
\(308\) 254490. 319120.i 0.152860 0.191680i
\(309\) 87205.8 41996.1i 0.0519576 0.0250215i
\(310\) 2.69146e6 + 3.37498e6i 1.59068 + 1.99465i
\(311\) −559787. 701951.i −0.328187 0.411534i 0.590174 0.807276i \(-0.299059\pi\)
−0.918362 + 0.395742i \(0.870488\pi\)
\(312\) −330471. 159147.i −0.192197 0.0925573i
\(313\) 460650. 2.01824e6i 0.265772 1.16442i −0.649107 0.760697i \(-0.724857\pi\)
0.914879 0.403728i \(-0.132286\pi\)
\(314\) 48802.6 + 213818.i 0.0279331 + 0.122383i
\(315\) −3.30095e6 + 1.58965e6i −1.87440 + 0.902663i
\(316\) −7.11708e6 3.42740e6i −4.00944 1.93085i
\(317\) −295086. 1.29286e6i −0.164931 0.722608i −0.987973 0.154628i \(-0.950582\pi\)
0.823042 0.567980i \(-0.192275\pi\)
\(318\) −24354.8 −0.0135057
\(319\) −85150.0 + 88089.0i −0.0468498 + 0.0484669i
\(320\) −9.05290e6 −4.94211
\(321\) 16548.4 + 72503.2i 0.00896381 + 0.0392730i
\(322\) 2.86016e6 + 1.37738e6i 1.53727 + 0.740310i
\(323\) −5926.73 + 2854.16i −0.00316089 + 0.00152220i
\(324\) −1.11916e6 4.90334e6i −0.592282 2.59496i
\(325\) 777653. 3.40712e6i 0.408392 1.78928i
\(326\) 4.49974e6 + 2.16696e6i 2.34501 + 1.12930i
\(327\) −78286.6 98168.3i −0.0404872 0.0507694i
\(328\) −811395. 1.01746e6i −0.416435 0.522193i
\(329\) 380718. 183344.i 0.193916 0.0933851i
\(330\) 12049.0 15108.9i 0.00609068 0.00763747i
\(331\) −2.03266e6 −1.01975 −0.509876 0.860248i \(-0.670309\pi\)
−0.509876 + 0.860248i \(0.670309\pi\)
\(332\) −1.49121e6 + 1.86992e6i −0.742494 + 0.931059i
\(333\) −50596.6 + 221678.i −0.0250041 + 0.109550i
\(334\) 812990. 3.56194e6i 0.398767 1.74711i
\(335\) 259954. 325972.i 0.126557 0.158697i
\(336\) −483732. −0.233753
\(337\) 1.23047e6 1.54296e6i 0.590197 0.740084i −0.393617 0.919274i \(-0.628776\pi\)
0.983814 + 0.179191i \(0.0573479\pi\)
\(338\) −2.94853e6 + 1.41994e6i −1.40383 + 0.676048i
\(339\) −17406.8 21827.5i −0.00822659 0.0103158i
\(340\) 2.54683e6 + 3.19362e6i 1.19482 + 1.49825i
\(341\) 112801. + 54322.0i 0.0525323 + 0.0252982i
\(342\) −6951.50 + 30456.5i −0.00321376 + 0.0140804i
\(343\) 105083. + 460399.i 0.0482278 + 0.211300i
\(344\) 5.68444e6 2.73748e6i 2.58995 1.24726i
\(345\) 98629.1 + 47497.3i 0.0446126 + 0.0214843i
\(346\) 1.55240e6 + 6.80149e6i 0.697128 + 3.05432i
\(347\) 2.70370e6 1.20541 0.602705 0.797964i \(-0.294090\pi\)
0.602705 + 0.797964i \(0.294090\pi\)
\(348\) 296246. + 28299.1i 0.131131 + 0.0125263i
\(349\) 3.38561e6 1.48790 0.743948 0.668237i \(-0.232951\pi\)
0.743948 + 0.668237i \(0.232951\pi\)
\(350\) −1.80959e6 7.92832e6i −0.789604 3.45948i
\(351\) 274752. + 132314.i 0.119035 + 0.0573241i
\(352\) −494637. + 238205.i −0.212780 + 0.102469i
\(353\) 576948. + 2.52777e6i 0.246434 + 1.07970i 0.935035 + 0.354556i \(0.115368\pi\)
−0.688601 + 0.725140i \(0.741775\pi\)
\(354\) −35274.6 + 154548.i −0.0149608 + 0.0655473i
\(355\) −5.81013e6 2.79801e6i −2.44689 1.17836i
\(356\) −3.66415e6 4.59470e6i −1.53231 1.92146i
\(357\) 46526.1 + 58341.9i 0.0193209 + 0.0242276i
\(358\) −4.28644e6 + 2.06424e6i −1.76762 + 0.851242i
\(359\) 1.66524e6 2.08815e6i 0.681932 0.855115i −0.313599 0.949556i \(-0.601535\pi\)
0.995531 + 0.0944402i \(0.0301061\pi\)
\(360\) 1.21633e7 4.94647
\(361\) −1.54373e6 + 1.93578e6i −0.623454 + 0.781787i
\(362\) −49489.4 + 216827.i −0.0198491 + 0.0869645i
\(363\) −27322.8 + 119709.i −0.0108833 + 0.0476826i
\(364\) −7.71655e6 + 9.67624e6i −3.05260 + 3.82784i
\(365\) 5.27806e6 2.07368
\(366\) 157474. 197466.i 0.0614479 0.0770532i
\(367\) −193952. + 93402.2i −0.0751672 + 0.0361986i −0.471090 0.882085i \(-0.656139\pi\)
0.395922 + 0.918284i \(0.370425\pi\)
\(368\) −3.72408e6 4.66985e6i −1.43351 1.79756i
\(369\) 336887. + 422443.i 0.128801 + 0.161511i
\(370\) −788238. 379595.i −0.299332 0.144151i
\(371\) −114658. + 502350.i −0.0432484 + 0.189484i
\(372\) −67671.5 296488.i −0.0253541 0.111084i
\(373\) 3.68520e6 1.77470e6i 1.37148 0.660469i 0.404314 0.914620i \(-0.367510\pi\)
0.967164 + 0.254151i \(0.0817962\pi\)
\(374\) 146551. + 70575.2i 0.0541763 + 0.0260900i
\(375\) −16631.4 72867.1i −0.00610734 0.0267580i
\(376\) −1.40287e6 −0.511737
\(377\) 2.58189e6 2.67100e6i 0.935587 0.967879i
\(378\) 709619. 0.255444
\(379\) −309497. 1.35599e6i −0.110677 0.484909i −0.999637 0.0269243i \(-0.991429\pi\)
0.888960 0.457984i \(-0.151428\pi\)
\(380\) −78876.9 37985.1i −0.0280215 0.0134944i
\(381\) −111701. + 53792.4i −0.0394225 + 0.0189849i
\(382\) 530408. + 2.32387e6i 0.185974 + 0.814805i
\(383\) −197489. + 865254.i −0.0687931 + 0.301402i −0.997607 0.0691452i \(-0.977973\pi\)
0.928813 + 0.370548i \(0.120830\pi\)
\(384\) 340797. + 164119.i 0.117942 + 0.0567977i
\(385\) −254918. 319656.i −0.0876492 0.109909i
\(386\) −858739. 1.07683e6i −0.293355 0.367855i
\(387\) −2.36015e6 + 1.13659e6i −0.801056 + 0.385768i
\(388\) 8.37892e6 1.05068e7i 2.82559 3.54318i
\(389\) −3.95319e6 −1.32457 −0.662284 0.749253i \(-0.730413\pi\)
−0.662284 + 0.749253i \(0.730413\pi\)
\(390\) −365345. + 458128.i −0.121630 + 0.152520i
\(391\) −205033. + 898309.i −0.0678238 + 0.297155i
\(392\) −1.83470e6 + 8.03833e6i −0.603044 + 2.64211i
\(393\) 177968. 223165.i 0.0581247 0.0728860i
\(394\) −1.86728e6 −0.605994
\(395\) −4.93345e6 + 6.18635e6i −1.59096 + 1.99499i
\(396\) 506904. 244112.i 0.162438 0.0782261i
\(397\) 1.42114e6 + 1.78205e6i 0.452542 + 0.567470i 0.954800 0.297248i \(-0.0960687\pi\)
−0.502258 + 0.864718i \(0.667497\pi\)
\(398\) −1.53649e6 1.92670e6i −0.486209 0.609687i
\(399\) −1440.95 693.923i −0.000453122 0.000218212i
\(400\) −3.40478e6 + 1.49173e7i −1.06399 + 4.66166i
\(401\) 554519. + 2.42951e6i 0.172209 + 0.754496i 0.985086 + 0.172061i \(0.0550427\pi\)
−0.812877 + 0.582435i \(0.802100\pi\)
\(402\) −36334.4 + 17497.7i −0.0112138 + 0.00540028i
\(403\) −3.42031e6 1.64713e6i −1.04907 0.505203i
\(404\) −21070.3 92315.1i −0.00642270 0.0281397i
\(405\) −5.03790e6 −1.52620
\(406\) 2.71628e6 8.20665e6i 0.817824 2.47087i
\(407\) −25374.2 −0.00759286
\(408\) −55126.6 241525.i −0.0163950 0.0718311i
\(409\) −1.96789e6 947684.i −0.581690 0.280127i 0.119809 0.992797i \(-0.461772\pi\)
−0.701500 + 0.712670i \(0.747486\pi\)
\(410\) −1.87311e6 + 902041.i −0.550304 + 0.265013i
\(411\) −55922.6 245013.i −0.0163299 0.0715458i
\(412\) −2.41268e6 + 1.05706e7i −0.700254 + 3.06802i
\(413\) 3.02169e6 + 1.45517e6i 0.871716 + 0.419796i
\(414\) 2.72825e6 + 3.42112e6i 0.782319 + 0.980997i
\(415\) 1.49372e6 + 1.87306e6i 0.425743 + 0.533865i
\(416\) 1.49982e7 7.22276e6i 4.24919 2.04630i
\(417\) 29902.6 37496.7i 0.00842110 0.0105597i
\(418\) −3486.17 −0.000975907
\(419\) 2.59080e6 3.24877e6i 0.720941 0.904031i −0.277450 0.960740i \(-0.589489\pi\)
0.998391 + 0.0567092i \(0.0180608\pi\)
\(420\) −220990. + 968222.i −0.0611294 + 0.267825i
\(421\) −667064. + 2.92260e6i −0.183427 + 0.803645i 0.796556 + 0.604564i \(0.206653\pi\)
−0.979983 + 0.199081i \(0.936204\pi\)
\(422\) 5.30134e6 6.64767e6i 1.44912 1.81714i
\(423\) 582464. 0.158277
\(424\) 1.06656e6 1.33743e6i 0.288119 0.361289i
\(425\) 2.12663e6 1.02413e6i 0.571109 0.275032i
\(426\) 388908. + 487675.i 0.103830 + 0.130199i
\(427\) −3.33165e6 4.17775e6i −0.884279 1.10885i
\(428\) −7.50562e6 3.61452e6i −1.98051 0.953764i
\(429\) −3781.71 + 16568.8i −0.000992077 + 0.00434657i
\(430\) −2.24284e6 9.82654e6i −0.584962 2.56289i
\(431\) −1.51437e6 + 729280.i −0.392679 + 0.189104i −0.619796 0.784763i \(-0.712784\pi\)
0.227116 + 0.973868i \(0.427070\pi\)
\(432\) −1.20294e6 579307.i −0.310124 0.149348i
\(433\) 1.29982e6 + 5.69486e6i 0.333167 + 1.45970i 0.812961 + 0.582319i \(0.197854\pi\)
−0.479793 + 0.877381i \(0.659288\pi\)
\(434\) −8.83383e6 −2.25126
\(435\) 93667.7 282996.i 0.0237338 0.0717064i
\(436\) 1.40654e7 3.54352
\(437\) −4394.35 19252.9i −0.00110075 0.00482272i
\(438\) −459965. 221508.i −0.114562 0.0551701i
\(439\) 6.34241e6 3.05434e6i 1.57070 0.756408i 0.572707 0.819760i \(-0.305893\pi\)
0.997991 + 0.0633519i \(0.0201791\pi\)
\(440\) 302040. + 1.32332e6i 0.0743759 + 0.325862i
\(441\) 761758. 3.33748e6i 0.186518 0.817188i
\(442\) −4.44367e6 2.13996e6i −1.08190 0.521014i
\(443\) 1.36584e6 + 1.71272e6i 0.330668 + 0.414644i 0.919176 0.393847i \(-0.128856\pi\)
−0.588508 + 0.808491i \(0.700285\pi\)
\(444\) 38428.5 + 48187.8i 0.00925115 + 0.0116006i
\(445\) −5.30375e6 + 2.55415e6i −1.26965 + 0.611430i
\(446\) −3.25861e6 + 4.08617e6i −0.775703 + 0.972701i
\(447\) −273878. −0.0648318
\(448\) 1.15507e7 1.44841e7i 2.71902 3.40954i
\(449\) −1.52425e6 + 6.67819e6i −0.356813 + 1.56330i 0.404266 + 0.914642i \(0.367527\pi\)
−0.761079 + 0.648659i \(0.775330\pi\)
\(450\) 2.49433e6 1.09284e7i 0.580662 2.54405i
\(451\) −37594.7 + 47142.2i −0.00870332 + 0.0109136i
\(452\) 3.12739e6 0.720006
\(453\) −83554.2 + 104774.i −0.0191303 + 0.0239887i
\(454\) −4.53465e6 + 2.18377e6i −1.03253 + 0.497242i
\(455\) 7.72952e6 + 9.69251e6i 1.75035 + 2.19487i
\(456\) 3310.47 + 4151.20i 0.000745552 + 0.000934892i
\(457\) −5.64998e6 2.72089e6i −1.26548 0.609424i −0.323863 0.946104i \(-0.604982\pi\)
−0.941619 + 0.336680i \(0.890696\pi\)
\(458\) 371281. 1.62669e6i 0.0827064 0.362360i
\(459\) 45832.0 + 200803.i 0.0101540 + 0.0444876i
\(460\) −1.10484e7 + 5.32061e6i −2.43446 + 1.17238i
\(461\) 5.98889e6 + 2.88410e6i 1.31248 + 0.632059i 0.953531 0.301296i \(-0.0974194\pi\)
0.358953 + 0.933355i \(0.383134\pi\)
\(462\) 8799.99 + 38555.3i 0.00191813 + 0.00840386i
\(463\) 8.73922e6 1.89461 0.947306 0.320331i \(-0.103794\pi\)
0.947306 + 0.320331i \(0.103794\pi\)
\(464\) −1.13042e7 + 1.16944e7i −2.43751 + 2.52164i
\(465\) −304624. −0.0653329
\(466\) 151296. + 662870.i 0.0322747 + 0.141405i
\(467\) −5.99474e6 2.88692e6i −1.27197 0.612550i −0.328659 0.944449i \(-0.606597\pi\)
−0.943315 + 0.331898i \(0.892311\pi\)
\(468\) −1.53702e7 + 7.40188e6i −3.24387 + 1.56217i
\(469\) 189858. + 831822.i 0.0398563 + 0.174622i
\(470\) −498698. + 2.18494e6i −0.104134 + 0.456241i
\(471\) −13944.0 6715.08i −0.00289624 0.00139476i
\(472\) −6.94212e6 8.70514e6i −1.43429 1.79854i
\(473\) −182264. 228552.i −0.0374584 0.0469713i
\(474\) 689560. 332075.i 0.140970 0.0678875i
\(475\) −31541.4 + 39551.7i −0.00641427 + 0.00804323i
\(476\) −8.35911e6 −1.69100
\(477\) −442831. + 555293.i −0.0891133 + 0.111745i
\(478\) 926185. 4.05788e6i 0.185408 0.812325i
\(479\) 1.37769e6 6.03607e6i 0.274356 1.20203i −0.630458 0.776223i \(-0.717133\pi\)
0.904814 0.425807i \(-0.140010\pi\)
\(480\) 832852. 1.04436e6i 0.164993 0.206894i
\(481\) 769386. 0.151629
\(482\) 7.65002e6 9.59282e6i 1.49984 1.88074i
\(483\) −201835. + 97198.4i −0.0393666 + 0.0189579i
\(484\) −8.57583e6 1.07538e7i −1.66404 2.08664i
\(485\) −8.39301e6 1.05245e7i −1.62018 2.03164i
\(486\) 1.32244e6 + 636854.i 0.253972 + 0.122306i
\(487\) 953778. 4.17877e6i 0.182232 0.798411i −0.798333 0.602216i \(-0.794284\pi\)
0.980565 0.196195i \(-0.0628584\pi\)
\(488\) 3.94751e6 + 1.72952e7i 0.750367 + 3.28757i
\(489\) −317536. + 152917.i −0.0600512 + 0.0289191i
\(490\) 1.18673e7 + 5.71501e6i 2.23287 + 1.07529i
\(491\) −849530. 3.72203e6i −0.159028 0.696749i −0.990074 0.140545i \(-0.955114\pi\)
0.831046 0.556204i \(-0.187743\pi\)
\(492\) 146463. 0.0272782
\(493\) 2.49770e6 + 238594.i 0.462831 + 0.0442123i
\(494\) 105707. 0.0194888
\(495\) −125405. 549437.i −0.0230040 0.100787i
\(496\) 1.49751e7 + 7.21161e6i 2.73316 + 1.31622i
\(497\) 1.18899e7 5.72585e6i 2.15916 1.03980i
\(498\) −51564.5 225919.i −0.00931702 0.0408206i
\(499\) 1.52662e6 6.68857e6i 0.274461 1.20249i −0.630225 0.776412i \(-0.717037\pi\)
0.904686 0.426079i \(-0.140105\pi\)
\(500\) 7.54330e6 + 3.63266e6i 1.34939 + 0.649831i
\(501\) 160749. + 201573.i 0.0286124 + 0.0358789i
\(502\) 1.17521e7 + 1.47366e7i 2.08140 + 2.60999i
\(503\) −1.83224e6 + 882359.i −0.322895 + 0.155498i −0.588309 0.808637i \(-0.700206\pi\)
0.265413 + 0.964135i \(0.414492\pi\)
\(504\) −1.55193e7 + 1.94606e7i −2.72142 + 3.41255i
\(505\) −94848.3 −0.0165501
\(506\) −304457. + 381777.i −0.0528628 + 0.0662878i
\(507\) 51389.3 225151.i 0.00887876 0.0389004i
\(508\) 3.09037e6 1.35398e7i 0.531314 2.32784i
\(509\) −4.83147e6 + 6.05847e6i −0.826579 + 1.03650i 0.172098 + 0.985080i \(0.444945\pi\)
−0.998677 + 0.0514176i \(0.983626\pi\)
\(510\) −395768. −0.0673775
\(511\) −6.73433e6 + 8.44458e6i −1.14089 + 1.43062i
\(512\) −5.21332e6 + 2.51060e6i −0.878900 + 0.423256i
\(513\) −2752.31 3451.29i −0.000461747 0.000579013i
\(514\) 6.77703e6 + 8.49812e6i 1.13144 + 1.41878i
\(515\) 9.78515e6 + 4.71228e6i 1.62573 + 0.782912i
\(516\) −158007. + 692272.i −0.0261247 + 0.114460i
\(517\) 14463.8 + 63370.0i 0.00237988 + 0.0104269i
\(518\) 1.61305e6 776804.i 0.264133 0.127200i
\(519\) −443555. 213605.i −0.0722818 0.0348091i
\(520\) −9.15834e6 4.01253e7i −1.48528 6.50744i
\(521\) −5.82860e6 −0.940741 −0.470370 0.882469i \(-0.655880\pi\)
−0.470370 + 0.882469i \(0.655880\pi\)
\(522\) 8.28145e6 8.56729e6i 1.33024 1.37615i
\(523\) −1.49622e6 −0.239189 −0.119595 0.992823i \(-0.538159\pi\)
−0.119595 + 0.992823i \(0.538159\pi\)
\(524\) 7.11502e6 + 3.11729e7i 1.13200 + 4.95963i
\(525\) 517040. + 248993.i 0.0818701 + 0.0394266i
\(526\) −1.59463e7 + 7.67935e6i −2.51302 + 1.21021i
\(527\) −570549. 2.49974e6i −0.0894883 0.392074i
\(528\) 16557.4 72542.7i 0.00258468 0.0113242i
\(529\) 3.30676e6 + 1.59245e6i 0.513763 + 0.247415i
\(530\) −1.70387e6 2.13658e6i −0.263479 0.330392i
\(531\) 2.88234e6 + 3.61434e6i 0.443617 + 0.556279i
\(532\) 161414. 77732.7i 0.0247264 0.0119076i
\(533\) 1.13993e6 1.42943e6i 0.173804 0.217944i
\(534\) 569396. 0.0864094
\(535\) −5.20279e6 + 6.52409e6i −0.785871 + 0.985452i
\(536\) 630306. 2.76155e6i 0.0947631 0.415184i
\(537\) 74707.4 327315.i 0.0111796 0.0489812i
\(538\) 7.19655e6 9.02419e6i 1.07194 1.34417i
\(539\) 382021. 0.0566390
\(540\) −1.70908e6 + 2.14312e6i −0.252219 + 0.316273i
\(541\) −2.66584e6 + 1.28380e6i −0.391598 + 0.188584i −0.619313 0.785144i \(-0.712589\pi\)
0.227715 + 0.973728i \(0.426875\pi\)
\(542\) 5.86896e6 + 7.35945e6i 0.858150 + 1.07609i
\(543\) −9785.34 12270.4i −0.00142422 0.00178591i
\(544\) 1.01299e7 + 4.87831e6i 1.46760 + 0.706761i
\(545\) 3.13510e6 1.37358e7i 0.452126 1.98089i
\(546\) −266830. 1.16906e6i −0.0383048 0.167824i
\(547\) −4.82167e6 + 2.32199e6i −0.689016 + 0.331813i −0.745420 0.666595i \(-0.767751\pi\)
0.0564038 + 0.998408i \(0.482037\pi\)
\(548\) 2.53641e7 + 1.22147e7i 3.60801 + 1.73752i
\(549\) −1.63899e6 7.18087e6i −0.232084 1.01683i
\(550\) 1.25091e6 0.176327
\(551\) −50449.0 + 18619.3i −0.00707903 + 0.00261266i
\(552\) 743718. 0.103887
\(553\) −3.60315e6 1.57864e7i −0.501037 2.19519i
\(554\) −1.22489e7 5.89878e6i −1.69560 0.816559i
\(555\) 55624.1 26787.2i 0.00766533 0.00369143i
\(556\) 1.19548e6 + 5.23775e6i 0.164005 + 0.718551i
\(557\) 49914.4 218689.i 0.00681692 0.0298669i −0.971405 0.237428i \(-0.923696\pi\)
0.978222 + 0.207561i \(0.0665527\pi\)
\(558\) −1.09707e7 5.28321e6i −1.49159 0.718311i
\(559\) 5.52655e6 + 6.93008e6i 0.748040 + 0.938012i
\(560\) −3.38420e7 4.24365e7i −4.56022 5.71834i
\(561\) −10341.8 + 4980.33i −0.00138735 + 0.000668114i
\(562\) −5.43683e6 + 6.81757e6i −0.726114 + 0.910518i
\(563\) −6.48001e6 −0.861598 −0.430799 0.902448i \(-0.641768\pi\)
−0.430799 + 0.902448i \(0.641768\pi\)
\(564\) 98440.1 123440.i 0.0130309 0.0163402i
\(565\) 697081. 3.05411e6i 0.0918675 0.402498i
\(566\) −2.89591e6 + 1.26878e7i −0.379965 + 1.66474i
\(567\) 6.42790e6 8.06033e6i 0.839676 1.05292i
\(568\) −4.38116e7 −5.69795
\(569\) −3.57251e6 + 4.47979e6i −0.462586 + 0.580065i −0.957338 0.288969i \(-0.906687\pi\)
0.494752 + 0.869034i \(0.335259\pi\)
\(570\) 7642.24 3680.31i 0.000985220 0.000474457i
\(571\) −1.20979e6 1.51703e6i −0.155281 0.194716i 0.698105 0.715995i \(-0.254027\pi\)
−0.853387 + 0.521279i \(0.825455\pi\)
\(572\) −1.18697e6 1.48841e6i −0.151687 0.190210i
\(573\) −151550. 72982.4i −0.0192827 0.00928607i
\(574\) 946704. 4.14778e6i 0.119932 0.525456i
\(575\) 1.57678e6 + 6.90831e6i 0.198884 + 0.871369i
\(576\) 2.30072e7 1.10797e7i 2.88940 1.39146i
\(577\) −5.31930e6 2.56164e6i −0.665143 0.320316i 0.0706712 0.997500i \(-0.477486\pi\)
−0.735814 + 0.677184i \(0.763200\pi\)
\(578\) 2.68783e6 + 1.17762e7i 0.334643 + 1.46617i
\(579\) 97193.6 0.0120487
\(580\) 1.82428e7 + 2.79687e7i 2.25176 + 3.45225i
\(581\) −4.90263e6 −0.602544
\(582\) 289735. + 1.26941e6i 0.0354563 + 0.155344i
\(583\) −71410.2 34389.3i −0.00870140 0.00419037i
\(584\) 3.23070e7 1.55583e7i 3.91981 1.88768i
\(585\) 3.80250e6 + 1.66598e7i 0.459388 + 2.01271i
\(586\) −1.24246e6 + 5.44359e6i −0.149465 + 0.654849i
\(587\) −3.62179e6 1.74416e6i −0.433838 0.208925i 0.204202 0.978929i \(-0.434540\pi\)
−0.638040 + 0.770003i \(0.720254\pi\)
\(588\) −578560. 725492.i −0.0690089 0.0865345i
\(589\) 34262.7 + 42964.1i 0.00406943 + 0.00510290i
\(590\) −1.60259e7 + 7.71767e6i −1.89536 + 0.912759i
\(591\) 82156.8 103021.i 0.00967553 0.0121327i
\(592\) −3.36859e6 −0.395043
\(593\) 205778. 258037.i 0.0240304 0.0301332i −0.769671 0.638441i \(-0.779580\pi\)
0.793702 + 0.608307i \(0.208151\pi\)
\(594\) −24289.2 + 106418.i −0.00282453 + 0.0123751i
\(595\) −1.86321e6 + 8.16324e6i −0.215759 + 0.945301i
\(596\) 1.91284e7 2.39863e7i 2.20579 2.76597i
\(597\) 173903. 0.0199697
\(598\) 9.23164e6 1.15761e7i 1.05566 1.32376i
\(599\) −8.77325e6 + 4.22498e6i −0.999065 + 0.481124i −0.860621 0.509246i \(-0.829924\pi\)
−0.138444 + 0.990370i \(0.544210\pi\)
\(600\) −1.18786e6 1.48953e6i −0.134706 0.168916i
\(601\) 563288. + 706340.i 0.0636127 + 0.0797679i 0.812620 0.582794i \(-0.198041\pi\)
−0.749007 + 0.662562i \(0.769469\pi\)
\(602\) 1.85835e7 + 8.94936e6i 2.08996 + 1.00647i
\(603\) −261700. + 1.14658e6i −0.0293096 + 0.128414i
\(604\) −3.34043e6 1.46354e7i −0.372572 1.63234i
\(605\) −1.24133e7 + 5.97792e6i −1.37879 + 0.663990i
\(606\) 8265.72 + 3980.56i 0.000914322 + 0.000440314i
\(607\) 110527. + 484252.i 0.0121758 + 0.0533458i 0.980651 0.195765i \(-0.0627189\pi\)
−0.968475 + 0.249111i \(0.919862\pi\)
\(608\) −240972. −0.0264367
\(609\) 333266. + 510941.i 0.0364122 + 0.0558248i
\(610\) 2.83402e7 3.08374
\(611\) −438566. 1.92148e6i −0.0475260 0.208225i
\(612\) −1.03811e7 4.99930e6i −1.12038 0.539548i
\(613\) 3.78284e6 1.82172e6i 0.406600 0.195808i −0.219394 0.975636i \(-0.570408\pi\)
0.625993 + 0.779828i \(0.284694\pi\)
\(614\) −5.78540e6 2.53475e7i −0.619316 2.71340i
\(615\) 32646.0 143031.i 0.00348050 0.0152491i
\(616\) −2.50261e6 1.20519e6i −0.265731 0.127969i
\(617\) −1.61132e6 2.02054e6i −0.170400 0.213675i 0.689297 0.724479i \(-0.257919\pi\)
−0.859697 + 0.510804i \(0.829348\pi\)
\(618\) −654980. 821319.i −0.0689853 0.0865049i
\(619\) 4.22546e6 2.03487e6i 0.443249 0.213457i −0.198928 0.980014i \(-0.563746\pi\)
0.642176 + 0.766557i \(0.278032\pi\)
\(620\) 2.12758e7 2.66790e7i 2.22283 2.78734i
\(621\) −618324. −0.0643409
\(622\) −6.07556e6 + 7.61851e6i −0.629666 + 0.789576i
\(623\) 2.68062e6 1.17445e7i 0.276703 1.21232i
\(624\) −502048. + 2.19962e6i −0.0516159 + 0.226144i
\(625\) −3.07234e6 + 3.85259e6i −0.314608 + 0.394506i
\(626\) −2.24679e7 −2.29154
\(627\) 153.385 192.339i 1.55817e−5 1.95388e-5i
\(628\) 1.56200e6 752218.i 0.158045 0.0761105i
\(629\) 323997. + 406279.i 0.0326523 + 0.0409447i
\(630\) 2.47926e7 + 3.10889e7i 2.48869 + 3.12071i
\(631\) 1.31058e7 + 6.31141e6i 1.31036 + 0.631034i 0.953010 0.302938i \(-0.0979676\pi\)
0.357345 + 0.933972i \(0.383682\pi\)
\(632\) −1.19620e7 + 5.24091e7i −1.19128 + 5.21933i
\(633\) 133516. + 584972.i 0.0132441 + 0.0580264i
\(634\) −1.29674e7 + 6.24475e6i −1.28123 + 0.617009i
\(635\) −1.25337e7 6.03591e6i −1.23352 0.594030i
\(636\) 42840.4 + 187696.i 0.00419963 + 0.0183998i
\(637\) −1.15835e7 −1.13108
\(638\) 1.13773e6 + 688248.i 0.110660 + 0.0669411i
\(639\) 1.81904e7 1.76234
\(640\) 9.44450e6 + 4.13790e7i 0.911442 + 3.99329i
\(641\) −3.69402e6 1.77895e6i −0.355103 0.171008i 0.247824 0.968805i \(-0.420285\pi\)
−0.602927 + 0.797797i \(0.705999\pi\)
\(642\) 727206. 350204.i 0.0696338 0.0335339i
\(643\) −409982. 1.79625e6i −0.0391055 0.171332i 0.951604 0.307326i \(-0.0994343\pi\)
−0.990710 + 0.135994i \(0.956577\pi\)
\(644\) 5.58405e6 2.44653e7i 0.530560 2.32454i
\(645\) 640831. + 308608.i 0.0606519 + 0.0292084i
\(646\) 44514.1 + 55818.9i 0.00419678 + 0.00526260i
\(647\) −2.72443e6 3.41632e6i −0.255867 0.320847i 0.637262 0.770647i \(-0.280067\pi\)
−0.893129 + 0.449800i \(0.851495\pi\)
\(648\) −3.08370e7 + 1.48503e7i −2.88493 + 1.38931i
\(649\) −321652. + 403339.i −0.0299761 + 0.0375888i
\(650\) −3.79296e7 −3.52123
\(651\) 388673. 487380.i 0.0359444 0.0450729i
\(652\) 8.78511e6 3.84901e7i 0.809335 3.54593i
\(653\) −3.38562e6 + 1.48334e7i −0.310710 + 1.36131i 0.542638 + 0.839967i \(0.317426\pi\)
−0.853348 + 0.521342i \(0.825432\pi\)
\(654\) −849671. + 1.06545e6i −0.0776795 + 0.0974070i
\(655\) 3.20284e7 2.91697
\(656\) −4.99094e6 + 6.25845e6i −0.452817 + 0.567815i
\(657\) −1.34137e7 + 6.45972e6i −1.21237 + 0.583848i
\(658\) −2.85948e6 3.58567e6i −0.257467 0.322854i
\(659\) −6.85498e6 8.59587e6i −0.614883 0.771039i 0.372732 0.927939i \(-0.378421\pi\)
−0.987614 + 0.156900i \(0.949850\pi\)
\(660\) −137635. 66281.5i −0.0122990 0.00592288i
\(661\) 2.21927e6 9.72326e6i 0.197563 0.865582i −0.774818 0.632184i \(-0.782159\pi\)
0.972381 0.233397i \(-0.0749843\pi\)
\(662\) 4.90907e6 + 2.15080e7i 0.435366 + 1.90746i
\(663\) 313579. 151012.i 0.0277053 0.0133422i
\(664\) 1.46643e7 + 7.06196e6i 1.29075 + 0.621591i
\(665\) −39932.9 174957.i −0.00350168 0.0153419i
\(666\) 2.46782e6 0.215590
\(667\) −2.36682e6 + 7.15084e6i −0.205992 + 0.622361i
\(668\) −2.88810e7 −2.50421
\(669\) −82069.1 359568.i −0.00708948 0.0310610i
\(670\) −4.07700e6 1.96338e6i −0.350876 0.168973i
\(671\) 740553. 356632.i 0.0634965 0.0305783i
\(672\) 608275. + 2.66503e6i 0.0519609 + 0.227656i
\(673\) −587891. + 2.57572e6i −0.0500333 + 0.219210i −0.993764 0.111505i \(-0.964433\pi\)
0.943731 + 0.330715i \(0.107290\pi\)
\(674\) −1.92981e7 9.29349e6i −1.63631 0.788006i
\(675\) 987583. + 1.23839e6i 0.0834285 + 0.104616i
\(676\) 1.61296e7 + 2.02259e7i 1.35755 + 1.70232i
\(677\) 2.11781e6 1.01988e6i 0.177589 0.0855222i −0.342977 0.939344i \(-0.611435\pi\)
0.520566 + 0.853822i \(0.325721\pi\)
\(678\) −188922. + 236901.i −0.0157837 + 0.0197921i
\(679\) 2.75473e7 2.29300
\(680\) 1.73317e7 2.17333e7i 1.43737 1.80241i
\(681\) 79033.4 346268.i 0.00653045 0.0286118i
\(682\) 302369. 1.32476e6i 0.0248929 0.109063i
\(683\) 571111. 716150.i 0.0468456 0.0587425i −0.757857 0.652421i \(-0.773753\pi\)
0.804702 + 0.593678i \(0.202325\pi\)
\(684\) 246948. 0.0201821
\(685\) 1.75820e7 2.20471e7i 1.43166 1.79525i
\(686\) 4.61780e6 2.22382e6i 0.374649 0.180422i
\(687\) 73411.9 + 92055.7i 0.00593437 + 0.00744147i
\(688\) −2.41968e7 3.03418e7i −1.94889 2.44383i
\(689\) 2.16528e6 + 1.04274e6i 0.173766 + 0.0836813i
\(690\) 264380. 1.15833e6i 0.0211401 0.0926207i
\(691\) 4.77125e6 + 2.09042e7i 0.380135 + 1.66548i 0.697048 + 0.717024i \(0.254496\pi\)
−0.316913 + 0.948454i \(0.602646\pi\)
\(692\) 4.96866e7 2.39278e7i 3.94434 1.89949i
\(693\) 1.03907e6 + 500391.i 0.0821888 + 0.0395801i
\(694\) −6.52969e6 2.86084e7i −0.514629 2.25473i
\(695\) 5.38148e6 0.422610
\(696\) −260854. 2.00833e6i −0.0204115 0.157149i
\(697\) 1.23486e6 0.0962796
\(698\) −8.17655e6 3.58238e7i −0.635231 2.78313i
\(699\) −43228.6 20817.8i −0.00334640 0.00161154i
\(700\) −5.79184e7 + 2.78920e7i −4.46757 + 2.15147i
\(701\) 1.10286e6 + 4.83193e6i 0.0847664 + 0.371386i 0.999463 0.0327544i \(-0.0104279\pi\)
−0.914697 + 0.404140i \(0.867571\pi\)
\(702\) 736488. 3.22676e6i 0.0564057 0.247129i
\(703\) −10034.4 4832.31i −0.000765778 0.000368779i
\(704\) 1.77674e6 + 2.22796e6i 0.135112 + 0.169425i
\(705\) −98605.7 123648.i −0.00747187 0.00936942i
\(706\) 2.53536e7 1.22096e7i 1.91438 0.921915i
\(707\) 121018. 151752.i 0.00910544 0.0114179i
\(708\) 1.25311e6 0.0939519
\(709\) −1.01156e7 + 1.26845e7i −0.755746 + 0.947675i −0.999756 0.0220976i \(-0.992966\pi\)
0.244010 + 0.969773i \(0.421537\pi\)
\(710\) −1.55744e7 + 6.82357e7i −1.15948 + 5.08003i
\(711\) 4.96659e6 2.17600e7i 0.368455 1.61431i
\(712\) −2.49354e7 + 3.12680e7i −1.84338 + 2.31153i
\(713\) 7.69733e6 0.567043
\(714\) 504964. 633205.i 0.0370693 0.0464835i
\(715\) −1.71811e6 + 827396.i −0.125685 + 0.0605269i
\(716\) 2.34485e7 + 2.94035e7i 1.70936 + 2.14346i
\(717\) 183131. + 229639.i 0.0133034 + 0.0166820i
\(718\) −2.61168e7 1.25772e7i −1.89064 0.910486i
\(719\) 3.79562e6 1.66297e7i 0.273817 1.19967i −0.631649 0.775254i \(-0.717622\pi\)
0.905467 0.424417i \(-0.139521\pi\)
\(720\) −1.66484e7 7.29415e7i −1.19686 5.24377i
\(721\) −2.00243e7 + 9.64321e6i −1.43456 + 0.690849i
\(722\) 2.42112e7 + 1.16595e7i 1.72852 + 0.832409i
\(723\) 192668. + 844134.i 0.0137077 + 0.0600573i
\(724\) 1.75808e6 0.124650
\(725\) 1.81021e7 6.68096e6i 1.27904 0.472056i
\(726\) 1.33265e6 0.0938374
\(727\) 1.73251e6 + 7.59063e6i 0.121574 + 0.532650i 0.998633 + 0.0522676i \(0.0166449\pi\)
−0.877059 + 0.480382i \(0.840498\pi\)
\(728\) 7.58833e7 + 3.65435e7i 5.30662 + 2.55553i
\(729\) 1.27410e7 6.13577e6i 0.887946 0.427612i
\(730\) −1.27470e7 5.58483e7i −0.885322 3.87885i
\(731\) −1.33218e6 + 5.83666e6i −0.0922081 + 0.403990i
\(732\) −1.79882e6 866267.i −0.124082 0.0597550i
\(733\) 6.98773e6 + 8.76233e6i 0.480370 + 0.602365i 0.961676 0.274187i \(-0.0884089\pi\)
−0.481306 + 0.876553i \(0.659837\pi\)
\(734\) 1.45672e6 + 1.82667e6i 0.0998013 + 0.125147i
\(735\) −837450. + 403295.i −0.0571795 + 0.0275362i
\(736\) −2.10447e7 + 2.63893e7i −1.43202 + 1.79570i
\(737\) −131242. −0.00890032
\(738\) 3.65635e6 4.58492e6i 0.247120 0.309878i
\(739\) −4.31454e6 + 1.89032e7i −0.290619 + 1.27328i 0.593048 + 0.805167i \(0.297924\pi\)
−0.883667 + 0.468117i \(0.844933\pi\)
\(740\) −1.53892e6 + 6.74246e6i −0.103309 + 0.452625i
\(741\) −4650.90 + 5832.04i −0.000311165 + 0.000390189i
\(742\) 5.59238e6 0.372896
\(743\) −1.56192e7 + 1.95858e7i −1.03797 + 1.30158i −0.0857017 + 0.996321i \(0.527313\pi\)
−0.952271 + 0.305255i \(0.901258\pi\)
\(744\) −1.86461e6 + 897947.i −0.123497 + 0.0594728i
\(745\) −1.91606e7 2.40266e7i −1.26479 1.58599i
\(746\) −2.76786e7 3.47078e7i −1.82094 2.28339i
\(747\) −6.08855e6 2.93209e6i −0.399220 0.192254i
\(748\) 286120. 1.25357e6i 0.0186979 0.0819211i
\(749\) −3.79986e6 1.66483e7i −0.247493 1.08434i
\(750\) −730857. + 351962.i −0.0474438 + 0.0228477i
\(751\) −2.53971e7 1.22306e7i −1.64318 0.791311i −0.999665 0.0258736i \(-0.991763\pi\)
−0.643510 0.765438i \(-0.722522\pi\)
\(752\) 1.92016e6 + 8.41279e6i 0.123821 + 0.542494i
\(753\) −1.33012e6 −0.0854876
\(754\) −3.44980e7 2.08688e7i −2.20986 1.33681i
\(755\) −1.50370e7 −0.960049
\(756\) −1.24823e6 5.46885e6i −0.0794309 0.348010i
\(757\) 2.03226e7 + 9.78684e6i 1.28896 + 0.620730i 0.947677 0.319231i \(-0.103424\pi\)
0.341282 + 0.939961i \(0.389139\pi\)
\(758\) −1.36006e7 + 6.54971e6i −0.859776 + 0.414046i
\(759\) −7667.85 33595.0i −0.000483135 0.00211675i
\(760\) −132573. + 580838.i −0.00832568 + 0.0364772i
\(761\) 1.25618e7 + 6.04944e6i 0.786303 + 0.378664i 0.783547 0.621333i \(-0.213408\pi\)
0.00275618 + 0.999996i \(0.499123\pi\)
\(762\) 838957. + 1.05202e6i 0.0523423 + 0.0656351i
\(763\) 1.79763e7 + 2.25415e7i 1.11786 + 1.40176i
\(764\) 1.69765e7 8.17544e6i 1.05224 0.506731i
\(765\) −7.19605e6 + 9.02357e6i −0.444571 + 0.557474i
\(766\) 9.63240e6 0.593147
\(767\) 9.75302e6 1.22299e7i 0.598619 0.750645i
\(768\) 339028. 1.48538e6i 0.0207412 0.0908730i