Properties

Label 177.4.f.a.2.6
Level $177$
Weight $4$
Character 177.2
Analytic conductor $10.443$
Analytic rank $0$
Dimension $1624$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.f (of order \(58\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(1624\)
Relative dimension: \(58\) over \(\Q(\zeta_{58})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{58}]$

Embedding invariants

Embedding label 2.6
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.254048 + 4.68564i) q^{2} +(1.63609 + 4.93186i) q^{3} +(-13.9375 - 1.51580i) q^{4} +(5.44329 - 16.1551i) q^{5} +(-23.5245 + 6.41321i) q^{6} +(-18.4501 - 27.2119i) q^{7} +(4.56997 - 27.8756i) q^{8} +(-21.6464 + 16.1380i) q^{9} +O(q^{10})\) \(q+(-0.254048 + 4.68564i) q^{2} +(1.63609 + 4.93186i) q^{3} +(-13.9375 - 1.51580i) q^{4} +(5.44329 - 16.1551i) q^{5} +(-23.5245 + 6.41321i) q^{6} +(-18.4501 - 27.2119i) q^{7} +(4.56997 - 27.8756i) q^{8} +(-21.6464 + 16.1380i) q^{9} +(74.3141 + 29.6094i) q^{10} +(7.76280 - 1.70872i) q^{11} +(-15.3274 - 71.2180i) q^{12} +(54.8811 - 46.6164i) q^{13} +(132.192 - 79.5374i) q^{14} +(88.5804 + 0.414241i) q^{15} +(19.9182 + 4.38432i) q^{16} +(-106.595 - 72.2733i) q^{17} +(-70.1174 - 105.527i) q^{18} +(-34.0425 + 64.2111i) q^{19} +(-100.354 + 216.912i) q^{20} +(104.019 - 135.515i) q^{21} +(6.03432 + 36.8077i) q^{22} +(10.2625 - 9.72113i) q^{23} +(144.955 - 23.0686i) q^{24} +(-131.846 - 100.227i) q^{25} +(204.485 + 268.995i) q^{26} +(-115.006 - 80.3537i) q^{27} +(215.902 + 407.234i) q^{28} +(124.184 - 6.73309i) q^{29} +(-24.4446 + 414.950i) q^{30} +(-146.250 + 77.5367i) q^{31} +(34.8530 - 125.529i) q^{32} +(21.1278 + 35.4894i) q^{33} +(365.727 - 481.105i) q^{34} +(-540.040 + 149.941i) q^{35} +(326.160 - 192.112i) q^{36} +(-245.247 + 40.2061i) q^{37} +(-292.221 - 175.824i) q^{38} +(319.696 + 194.397i) q^{39} +(-425.457 - 225.563i) q^{40} +(105.013 - 110.861i) q^{41} +(608.546 + 521.822i) q^{42} +(9.13165 - 41.4855i) q^{43} +(-110.784 + 12.0485i) q^{44} +(142.883 + 437.543i) q^{45} +(42.9425 + 50.5558i) q^{46} +(61.0250 - 20.5617i) q^{47} +(10.9652 + 105.407i) q^{48} +(-273.123 + 685.486i) q^{49} +(503.122 - 592.321i) q^{50} +(182.042 - 643.958i) q^{51} +(-835.568 + 566.529i) q^{52} +(419.645 - 167.202i) q^{53} +(405.725 - 518.461i) q^{54} +(14.6506 - 134.710i) q^{55} +(-842.864 + 389.950i) q^{56} +(-372.376 - 62.8376i) q^{57} +583.594i q^{58} +(-250.729 - 377.510i) q^{59} +(-1233.96 - 140.044i) q^{60} +(77.1474 + 4.18281i) q^{61} +(-326.154 - 704.971i) q^{62} +(838.523 + 291.292i) q^{63} +(733.948 + 247.296i) q^{64} +(-454.359 - 1140.36i) q^{65} +(-171.658 + 89.9813i) q^{66} +(108.587 + 17.8019i) q^{67} +(1376.12 + 1168.89i) q^{68} +(64.7336 + 34.7083i) q^{69} +(-565.375 - 2568.52i) q^{70} +(124.447 + 369.346i) q^{71} +(350.932 + 677.156i) q^{72} +(15.7975 + 26.2557i) q^{73} +(-126.087 - 1159.35i) q^{74} +(278.592 - 814.228i) q^{75} +(571.801 - 843.343i) q^{76} +(-189.722 - 179.714i) q^{77} +(-992.090 + 1448.59i) q^{78} +(339.670 + 157.148i) q^{79} +(179.250 - 297.915i) q^{80} +(208.133 - 698.657i) q^{81} +(492.775 + 520.216i) q^{82} +(244.487 + 880.562i) q^{83} +(-1655.18 + 1731.07i) q^{84} +(-1747.81 + 1328.65i) q^{85} +(192.066 + 53.3269i) q^{86} +(236.384 + 601.444i) q^{87} +(-12.1558 - 224.201i) q^{88} +(-3.96273 - 73.0882i) q^{89} +(-2086.47 + 558.340i) q^{90} +(-2281.08 - 633.339i) q^{91} +(-157.769 + 119.933i) q^{92} +(-621.678 - 594.425i) q^{93} +(80.8415 + 291.165i) q^{94} +(852.033 + 899.480i) q^{95} +(676.114 - 33.4875i) q^{96} +(413.605 - 687.416i) q^{97} +(-3142.55 - 1453.90i) q^{98} +(-140.461 + 162.263i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} + O(q^{10}) \) \( 1624q - 21q^{3} - 278q^{4} - 29q^{6} - 42q^{7} - 25q^{9} - 58q^{10} - 57q^{12} - 58q^{13} - 11q^{15} - 926q^{16} - 29q^{18} + 126q^{19} + 159q^{21} + 2q^{22} - 29q^{24} + 656q^{25} - 99q^{27} - 54q^{28} - 29q^{30} - 58q^{31} - 29q^{33} - 58q^{34} + 859q^{36} - 58q^{37} - 29q^{39} - 58q^{40} - 29q^{42} - 58q^{43} + 1703q^{45} + 602q^{46} + 9507q^{48} - 1192q^{49} + 1511q^{51} - 58q^{52} - 7743q^{54} - 58q^{55} - 7441q^{57} - 18722q^{60} - 58q^{61} - 3251q^{63} - 4634q^{64} - 1751q^{66} - 58q^{67} + 6003q^{69} - 58q^{70} + 21547q^{72} - 58q^{73} + 3869q^{75} + 5622q^{76} - 3253q^{78} + 1446q^{79} + 247q^{81} - 58q^{82} + 3303q^{84} + 790q^{85} - 2199q^{87} - 5818q^{88} - 29q^{90} - 58q^{91} - 29q^{93} - 946q^{94} - 29q^{96} - 58q^{97} - 29q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{58}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.254048 + 4.68564i −0.0898195 + 1.65662i 0.512736 + 0.858546i \(0.328632\pi\)
−0.602556 + 0.798077i \(0.705851\pi\)
\(3\) 1.63609 + 4.93186i 0.314866 + 0.949136i
\(4\) −13.9375 1.51580i −1.74219 0.189475i
\(5\) 5.44329 16.1551i 0.486862 1.44496i −0.369816 0.929105i \(-0.620579\pi\)
0.856678 0.515851i \(-0.172524\pi\)
\(6\) −23.5245 + 6.41321i −1.60064 + 0.436364i
\(7\) −18.4501 27.2119i −0.996213 1.46930i −0.879362 0.476154i \(-0.842030\pi\)
−0.116851 0.993149i \(-0.537280\pi\)
\(8\) 4.56997 27.8756i 0.201966 1.23194i
\(9\) −21.6464 + 16.1380i −0.801718 + 0.597702i
\(10\) 74.3141 + 29.6094i 2.35002 + 0.936333i
\(11\) 7.76280 1.70872i 0.212779 0.0468362i −0.107301 0.994227i \(-0.534221\pi\)
0.320081 + 0.947390i \(0.396290\pi\)
\(12\) −15.3274 71.2180i −0.368721 1.71324i
\(13\) 54.8811 46.6164i 1.17087 0.994543i 0.170910 0.985287i \(-0.445329\pi\)
0.999957 0.00925643i \(-0.00294646\pi\)
\(14\) 132.192 79.5374i 2.52356 1.51838i
\(15\) 88.5804 + 0.414241i 1.52476 + 0.00713044i
\(16\) 19.9182 + 4.38432i 0.311222 + 0.0685051i
\(17\) −106.595 72.2733i −1.52077 1.03111i −0.982049 0.188625i \(-0.939597\pi\)
−0.538722 0.842484i \(-0.681093\pi\)
\(18\) −70.1174 105.527i −0.918157 1.38183i
\(19\) −34.0425 + 64.2111i −0.411047 + 0.775317i −0.999447 0.0332529i \(-0.989413\pi\)
0.588400 + 0.808570i \(0.299758\pi\)
\(20\) −100.354 + 216.912i −1.12199 + 2.42514i
\(21\) 104.019 135.515i 1.08090 1.40818i
\(22\) 6.03432 + 36.8077i 0.0584783 + 0.356702i
\(23\) 10.2625 9.72113i 0.0930380 0.0881302i −0.639767 0.768569i \(-0.720969\pi\)
0.732805 + 0.680438i \(0.238211\pi\)
\(24\) 144.955 23.0686i 1.23287 0.196203i
\(25\) −131.846 100.227i −1.05477 0.801816i
\(26\) 204.485 + 268.995i 1.54242 + 2.02901i
\(27\) −115.006 80.3537i −0.819735 0.572743i
\(28\) 215.902 + 407.234i 1.45720 + 2.74857i
\(29\) 124.184 6.73309i 0.795189 0.0431139i 0.347932 0.937520i \(-0.386884\pi\)
0.447257 + 0.894406i \(0.352401\pi\)
\(30\) −24.4446 + 414.950i −0.148765 + 2.52531i
\(31\) −146.250 + 77.5367i −0.847330 + 0.449226i −0.834707 0.550694i \(-0.814363\pi\)
−0.0126230 + 0.999920i \(0.504018\pi\)
\(32\) 34.8530 125.529i 0.192537 0.693456i
\(33\) 21.1278 + 35.4894i 0.111451 + 0.187209i
\(34\) 365.727 481.105i 1.84475 2.42673i
\(35\) −540.040 + 149.941i −2.60810 + 0.724135i
\(36\) 326.160 192.112i 1.51000 0.889407i
\(37\) −245.247 + 40.2061i −1.08968 + 0.178645i −0.679730 0.733462i \(-0.737903\pi\)
−0.409953 + 0.912107i \(0.634455\pi\)
\(38\) −292.221 175.824i −1.24749 0.750589i
\(39\) 319.696 + 194.397i 1.31262 + 0.798163i
\(40\) −425.457 225.563i −1.68177 0.891616i
\(41\) 105.013 110.861i 0.400006 0.422282i −0.494611 0.869114i \(-0.664690\pi\)
0.894617 + 0.446833i \(0.147448\pi\)
\(42\) 608.546 + 521.822i 2.23573 + 1.91712i
\(43\) 9.13165 41.4855i 0.0323852 0.147127i −0.957653 0.287923i \(-0.907035\pi\)
0.990039 + 0.140796i \(0.0449662\pi\)
\(44\) −110.784 + 12.0485i −0.379577 + 0.0412815i
\(45\) 142.883 + 437.543i 0.473327 + 1.44945i
\(46\) 42.9425 + 50.5558i 0.137642 + 0.162045i
\(47\) 61.0250 20.5617i 0.189392 0.0638135i −0.223007 0.974817i \(-0.571587\pi\)
0.412399 + 0.911003i \(0.364691\pi\)
\(48\) 10.9652 + 105.407i 0.0329726 + 0.316962i
\(49\) −273.123 + 685.486i −0.796276 + 1.99850i
\(50\) 503.122 592.321i 1.42304 1.67534i
\(51\) 182.042 643.958i 0.499822 1.76808i
\(52\) −835.568 + 566.529i −2.22832 + 1.51084i
\(53\) 419.645 167.202i 1.08760 0.433339i 0.243705 0.969849i \(-0.421637\pi\)
0.843894 + 0.536511i \(0.180258\pi\)
\(54\) 405.725 518.461i 1.02245 1.30655i
\(55\) 14.6506 134.710i 0.0359179 0.330259i
\(56\) −842.864 + 389.950i −2.01129 + 0.930523i
\(57\) −372.376 62.8376i −0.865306 0.146018i
\(58\) 583.594i 1.32120i
\(59\) −250.729 377.510i −0.553257 0.833011i
\(60\) −1233.96 140.044i −2.65507 0.301326i
\(61\) 77.1474 + 4.18281i 0.161930 + 0.00877957i 0.134925 0.990856i \(-0.456920\pi\)
0.0270042 + 0.999635i \(0.491403\pi\)
\(62\) −326.154 704.971i −0.668091 1.44406i
\(63\) 838.523 + 291.292i 1.67689 + 0.582529i
\(64\) 733.948 + 247.296i 1.43349 + 0.483000i
\(65\) −454.359 1140.36i −0.867020 2.17606i
\(66\) −171.658 + 89.9813i −0.320146 + 0.167817i
\(67\) 108.587 + 17.8019i 0.197999 + 0.0324604i 0.259966 0.965618i \(-0.416289\pi\)
−0.0619661 + 0.998078i \(0.519737\pi\)
\(68\) 1376.12 + 1168.89i 2.45411 + 2.08454i
\(69\) 64.7336 + 34.7083i 0.112942 + 0.0605564i
\(70\) −565.375 2568.52i −0.965360 4.38568i
\(71\) 124.447 + 369.346i 0.208016 + 0.617371i 0.999977 + 0.00679833i \(0.00216399\pi\)
−0.791960 + 0.610572i \(0.790939\pi\)
\(72\) 350.932 + 677.156i 0.574412 + 1.10838i
\(73\) 15.7975 + 26.2557i 0.0253282 + 0.0420958i 0.869263 0.494350i \(-0.164594\pi\)
−0.843935 + 0.536446i \(0.819766\pi\)
\(74\) −126.087 1159.35i −0.198072 1.82124i
\(75\) 278.592 814.228i 0.428920 1.25359i
\(76\) 571.801 843.343i 0.863027 1.27287i
\(77\) −189.722 179.714i −0.280790 0.265978i
\(78\) −992.090 + 1448.59i −1.44015 + 2.10283i
\(79\) 339.670 + 157.148i 0.483745 + 0.223804i 0.646576 0.762850i \(-0.276200\pi\)
−0.162831 + 0.986654i \(0.552062\pi\)
\(80\) 179.250 297.915i 0.250509 0.416349i
\(81\) 208.133 698.657i 0.285504 0.958377i
\(82\) 492.775 + 520.216i 0.663633 + 0.700589i
\(83\) 244.487 + 880.562i 0.323324 + 1.16451i 0.929392 + 0.369095i \(0.120332\pi\)
−0.606067 + 0.795413i \(0.707254\pi\)
\(84\) −1655.18 + 1731.07i −2.14994 + 2.24851i
\(85\) −1747.81 + 1328.65i −2.23031 + 1.69544i
\(86\) 192.066 + 53.3269i 0.240826 + 0.0668650i
\(87\) 236.384 + 601.444i 0.291299 + 0.741167i
\(88\) −12.1558 224.201i −0.0147252 0.271590i
\(89\) −3.96273 73.0882i −0.00471964 0.0870487i 0.995225 0.0976118i \(-0.0311203\pi\)
−0.999944 + 0.0105631i \(0.996638\pi\)
\(90\) −2086.47 + 558.340i −2.44370 + 0.653936i
\(91\) −2281.08 633.339i −2.62772 0.729582i
\(92\) −157.769 + 119.933i −0.178789 + 0.135912i
\(93\) −621.678 594.425i −0.693172 0.662785i
\(94\) 80.8415 + 291.165i 0.0887039 + 0.319483i
\(95\) 852.033 + 899.480i 0.920176 + 0.971418i
\(96\) 676.114 33.4875i 0.718808 0.0356021i
\(97\) 413.605 687.416i 0.432940 0.719552i −0.561197 0.827683i \(-0.689659\pi\)
0.994137 + 0.108130i \(0.0344864\pi\)
\(98\) −3142.55 1453.90i −3.23924 1.49863i
\(99\) −140.461 + 162.263i −0.142595 + 0.164728i
\(100\) 1685.69 + 1596.77i 1.68569 + 1.59677i
\(101\) 845.945 1247.67i 0.833412 1.22919i −0.137678 0.990477i \(-0.543964\pi\)
0.971090 0.238714i \(-0.0767258\pi\)
\(102\) 2971.10 + 1016.58i 2.88415 + 0.986825i
\(103\) −172.187 1583.24i −0.164719 1.51457i −0.726432 0.687238i \(-0.758823\pi\)
0.561713 0.827332i \(-0.310143\pi\)
\(104\) −1048.65 1742.88i −0.988740 1.64330i
\(105\) −1623.05 2418.08i −1.50851 2.24743i
\(106\) 676.838 + 2008.78i 0.620191 + 1.84066i
\(107\) −43.9321 199.586i −0.0396923 0.180324i 0.952604 0.304214i \(-0.0983939\pi\)
−0.992296 + 0.123890i \(0.960463\pi\)
\(108\) 1481.10 + 1294.26i 1.31962 + 1.15315i
\(109\) −842.590 715.702i −0.740417 0.628916i 0.195676 0.980669i \(-0.437310\pi\)
−0.936093 + 0.351753i \(0.885586\pi\)
\(110\) 627.479 + 102.870i 0.543889 + 0.0891661i
\(111\) −599.537 1143.74i −0.512663 0.978009i
\(112\) −248.187 622.903i −0.209388 0.525525i
\(113\) 1071.91 + 361.168i 0.892361 + 0.300671i 0.727876 0.685708i \(-0.240507\pi\)
0.164484 + 0.986380i \(0.447404\pi\)
\(114\) 389.036 1728.86i 0.319619 1.42037i
\(115\) −101.184 218.706i −0.0820476 0.177343i
\(116\) −1741.03 94.3961i −1.39354 0.0755557i
\(117\) −435.684 + 1894.74i −0.344265 + 1.49717i
\(118\) 1832.57 1078.92i 1.42968 0.841717i
\(119\) 4234.10i 3.26168i
\(120\) 416.357 2467.34i 0.316733 1.87697i
\(121\) −1150.64 + 532.343i −0.864494 + 0.399958i
\(122\) −39.1983 + 360.422i −0.0290889 + 0.267468i
\(123\) 718.560 + 336.530i 0.526751 + 0.246698i
\(124\) 2155.89 858.986i 1.56133 0.622091i
\(125\) −573.102 + 388.573i −0.410078 + 0.278040i
\(126\) −1577.91 + 3855.01i −1.11565 + 2.72565i
\(127\) −29.0779 + 34.2332i −0.0203169 + 0.0239189i −0.772227 0.635347i \(-0.780857\pi\)
0.751910 + 0.659266i \(0.229133\pi\)
\(128\) −959.431 + 2407.99i −0.662520 + 1.66280i
\(129\) 219.541 22.8382i 0.149841 0.0155875i
\(130\) 5458.72 1839.26i 3.68278 1.24087i
\(131\) −910.250 1071.63i −0.607091 0.714723i 0.369644 0.929174i \(-0.379480\pi\)
−0.976735 + 0.214451i \(0.931204\pi\)
\(132\) −240.675 526.660i −0.158698 0.347272i
\(133\) 2375.39 258.340i 1.54867 0.168428i
\(134\) −110.999 + 504.275i −0.0715588 + 0.325095i
\(135\) −1924.13 + 1420.54i −1.22669 + 0.905634i
\(136\) −2501.80 + 2641.11i −1.57741 + 1.66525i
\(137\) 758.120 + 401.930i 0.472778 + 0.250651i 0.687720 0.725976i \(-0.258612\pi\)
−0.214942 + 0.976627i \(0.568956\pi\)
\(138\) −179.076 + 294.500i −0.110464 + 0.181663i
\(139\) 821.137 + 494.062i 0.501064 + 0.301480i 0.743557 0.668673i \(-0.233137\pi\)
−0.242492 + 0.970153i \(0.577965\pi\)
\(140\) 7754.11 1271.22i 4.68102 0.767414i
\(141\) 201.250 + 267.326i 0.120201 + 0.159666i
\(142\) −1762.24 + 489.283i −1.04143 + 0.289153i
\(143\) 346.376 455.650i 0.202555 0.266457i
\(144\) −501.911 + 226.534i −0.290458 + 0.131096i
\(145\) 567.198 2042.86i 0.324850 1.17000i
\(146\) −127.038 + 67.3512i −0.0720118 + 0.0381782i
\(147\) −3827.57 225.482i −2.14757 0.126513i
\(148\) 3479.08 188.630i 1.93229 0.104766i
\(149\) −1067.28 2013.10i −0.586811 1.10684i −0.982113 0.188292i \(-0.939705\pi\)
0.395302 0.918551i \(-0.370640\pi\)
\(150\) 3744.40 + 1512.23i 2.03819 + 0.823155i
\(151\) 1460.13 + 1920.77i 0.786911 + 1.03516i 0.998330 + 0.0577682i \(0.0183984\pi\)
−0.211419 + 0.977396i \(0.567808\pi\)
\(152\) 1634.35 + 1242.40i 0.872125 + 0.662972i
\(153\) 3473.74 155.772i 1.83553 0.0823097i
\(154\) 890.274 843.312i 0.465846 0.441273i
\(155\) 456.534 + 2784.73i 0.236579 + 1.44307i
\(156\) −4161.11 3194.01i −2.13561 1.63926i
\(157\) −28.0394 + 60.6062i −0.0142534 + 0.0308083i −0.914571 0.404424i \(-0.867472\pi\)
0.900318 + 0.435233i \(0.143334\pi\)
\(158\) −822.631 + 1551.65i −0.414209 + 0.781281i
\(159\) 1511.20 + 1796.07i 0.753746 + 0.895835i
\(160\) −1838.22 1246.34i −0.908275 0.615826i
\(161\) −453.874 99.9052i −0.222176 0.0489046i
\(162\) 3220.78 + 1152.73i 1.56203 + 0.559054i
\(163\) −2499.00 + 1503.60i −1.20084 + 0.722520i −0.968232 0.250052i \(-0.919552\pi\)
−0.232605 + 0.972571i \(0.574725\pi\)
\(164\) −1631.66 + 1385.95i −0.776900 + 0.659905i
\(165\) 688.339 148.143i 0.324770 0.0698967i
\(166\) −4188.10 + 921.871i −1.95819 + 0.431031i
\(167\) 1764.33 + 702.973i 0.817532 + 0.325735i 0.741146 0.671344i \(-0.234283\pi\)
0.0763862 + 0.997078i \(0.475662\pi\)
\(168\) −3302.18 3518.89i −1.51648 1.61600i
\(169\) 483.408 2948.66i 0.220031 1.34213i
\(170\) −5781.55 8527.14i −2.60838 3.84707i
\(171\) −299.337 1939.32i −0.133865 0.867270i
\(172\) −190.156 + 564.364i −0.0842982 + 0.250188i
\(173\) −1178.75 128.197i −0.518026 0.0563387i −0.154628 0.987973i \(-0.549418\pi\)
−0.363398 + 0.931634i \(0.618383\pi\)
\(174\) −2878.20 + 954.815i −1.25400 + 0.416002i
\(175\) −294.785 + 5436.99i −0.127335 + 2.34856i
\(176\) 162.112 0.0694300
\(177\) 1451.61 1854.20i 0.616439 0.787403i
\(178\) 343.471 0.144631
\(179\) −112.252 + 2070.37i −0.0468723 + 0.864508i 0.876689 + 0.481058i \(0.159747\pi\)
−0.923561 + 0.383451i \(0.874736\pi\)
\(180\) −1328.21 6314.86i −0.549993 2.61490i
\(181\) −3317.69 360.820i −1.36244 0.148174i −0.602476 0.798137i \(-0.705819\pi\)
−0.759966 + 0.649963i \(0.774784\pi\)
\(182\) 3547.10 10527.4i 1.44466 4.28761i
\(183\) 105.591 + 387.323i 0.0426532 + 0.156458i
\(184\) −224.083 330.498i −0.0897805 0.132416i
\(185\) −685.413 + 4180.84i −0.272392 + 1.66152i
\(186\) 2943.20 2761.95i 1.16025 1.08879i
\(187\) −950.971 378.902i −0.371882 0.148171i
\(188\) −881.707 + 194.078i −0.342048 + 0.0752905i
\(189\) −64.7078 + 4612.05i −0.0249037 + 1.77501i
\(190\) −4431.09 + 3763.81i −1.69192 + 1.43713i
\(191\) 429.430 258.379i 0.162683 0.0978830i −0.431884 0.901929i \(-0.642151\pi\)
0.594567 + 0.804046i \(0.297323\pi\)
\(192\) −18.8195 + 4024.33i −0.00707387 + 1.51266i
\(193\) 231.191 + 50.8889i 0.0862252 + 0.0189796i 0.257873 0.966179i \(-0.416978\pi\)
−0.171648 + 0.985158i \(0.554909\pi\)
\(194\) 3115.91 + 2112.64i 1.15314 + 0.781848i
\(195\) 4880.69 4106.56i 1.79238 1.50809i
\(196\) 4845.72 9139.99i 1.76593 3.33090i
\(197\) 610.681 1319.97i 0.220859 0.477379i −0.765196 0.643797i \(-0.777358\pi\)
0.986055 + 0.166418i \(0.0532202\pi\)
\(198\) −724.623 699.373i −0.260084 0.251022i
\(199\) 455.762 + 2780.02i 0.162352 + 0.990305i 0.934786 + 0.355210i \(0.115591\pi\)
−0.772434 + 0.635095i \(0.780961\pi\)
\(200\) −3396.42 + 3217.26i −1.20081 + 1.13747i
\(201\) 89.8616 + 564.659i 0.0315341 + 0.198149i
\(202\) 5631.24 + 4280.76i 1.96145 + 1.49105i
\(203\) −2474.44 3255.07i −0.855525 1.12542i
\(204\) −3513.33 + 8699.25i −1.20579 + 2.98563i
\(205\) −1219.35 2299.94i −0.415430 0.783585i
\(206\) 7462.21 404.589i 2.52387 0.136840i
\(207\) −65.2663 + 376.043i −0.0219146 + 0.126265i
\(208\) 1297.51 687.897i 0.432530 0.229313i
\(209\) −154.547 + 556.627i −0.0511493 + 0.184223i
\(210\) 11742.6 6990.69i 3.85864 2.29716i
\(211\) 569.490 749.151i 0.185807 0.244425i −0.693753 0.720213i \(-0.744044\pi\)
0.879560 + 0.475788i \(0.157837\pi\)
\(212\) −6102.27 + 1694.29i −1.97691 + 0.548887i
\(213\) −1617.95 + 1218.04i −0.520471 + 0.391825i
\(214\) 946.347 155.146i 0.302294 0.0495586i
\(215\) −620.496 373.340i −0.196826 0.118426i
\(216\) −2765.48 + 2838.63i −0.871143 + 0.894188i
\(217\) 4808.24 + 2549.17i 1.50417 + 0.797461i
\(218\) 3567.58 3766.25i 1.10838 1.17010i
\(219\) −103.643 + 120.868i −0.0319796 + 0.0372944i
\(220\) −408.386 + 1855.32i −0.125152 + 0.568570i
\(221\) −9219.17 + 1002.65i −2.80610 + 0.305182i
\(222\) 5511.46 2518.65i 1.66624 0.761445i
\(223\) −3160.03 3720.27i −0.948928 1.11716i −0.992997 0.118136i \(-0.962308\pi\)
0.0440693 0.999028i \(-0.485968\pi\)
\(224\) −4058.92 + 1367.61i −1.21071 + 0.407934i
\(225\) 4471.45 + 41.8219i 1.32488 + 0.0123917i
\(226\) −1964.62 + 4930.82i −0.578250 + 1.45130i
\(227\) 4046.92 4764.41i 1.18328 1.39306i 0.282224 0.959348i \(-0.408928\pi\)
0.901052 0.433712i \(-0.142796\pi\)
\(228\) 5094.77 + 1440.25i 1.47986 + 0.418346i
\(229\) 1265.26 857.868i 0.365113 0.247553i −0.364810 0.931082i \(-0.618866\pi\)
0.729923 + 0.683529i \(0.239556\pi\)
\(230\) 1050.48 418.551i 0.301160 0.119993i
\(231\) 575.922 1229.71i 0.164038 0.350256i
\(232\) 379.831 3492.48i 0.107487 0.988331i
\(233\) −3579.27 + 1655.95i −1.00638 + 0.465599i −0.852632 0.522511i \(-0.824995\pi\)
−0.153744 + 0.988111i \(0.549133\pi\)
\(234\) −8767.40 2522.81i −2.44933 0.704792i
\(235\) 1097.79i 0.304731i
\(236\) 2922.32 + 5641.62i 0.806045 + 1.55609i
\(237\) −219.300 + 1932.31i −0.0601056 + 0.529608i
\(238\) −19839.5 1075.67i −5.40337 0.292962i
\(239\) 1366.14 + 2952.86i 0.369741 + 0.799182i 0.999745 + 0.0225899i \(0.00719120\pi\)
−0.630004 + 0.776592i \(0.716947\pi\)
\(240\) 1762.54 + 396.616i 0.474049 + 0.106673i
\(241\) −4529.53 1526.17i −1.21067 0.407923i −0.359668 0.933080i \(-0.617110\pi\)
−0.851005 + 0.525157i \(0.824007\pi\)
\(242\) −2202.05 5526.73i −0.584930 1.46806i
\(243\) 3786.20 116.589i 0.999526 0.0307785i
\(244\) −1068.91 175.238i −0.280449 0.0459773i
\(245\) 9587.41 + 8143.62i 2.50007 + 2.12358i
\(246\) −1759.40 + 3281.42i −0.455998 + 0.850470i
\(247\) 1125.00 + 5110.91i 0.289805 + 1.31660i
\(248\) 1493.02 + 4431.14i 0.382287 + 1.13459i
\(249\) −3942.80 + 2646.46i −1.00347 + 0.673543i
\(250\) −1675.12 2784.06i −0.423774 0.704319i
\(251\) 23.2589 + 213.862i 0.00584896 + 0.0537803i 0.996699 0.0811893i \(-0.0258718\pi\)
−0.990850 + 0.134970i \(0.956906\pi\)
\(252\) −11245.4 5330.93i −2.81109 1.33261i
\(253\) 63.0548 92.9989i 0.0156689 0.0231098i
\(254\) −153.017 144.945i −0.0377998 0.0358059i
\(255\) −9412.29 6446.15i −2.31145 1.58303i
\(256\) −5415.96 2505.69i −1.32226 0.611741i
\(257\) 3058.64 5083.49i 0.742383 1.23385i −0.223457 0.974714i \(-0.571734\pi\)
0.965841 0.259137i \(-0.0834382\pi\)
\(258\) 51.2377 + 1034.49i 0.0123640 + 0.249630i
\(259\) 5618.91 + 5931.81i 1.34804 + 1.42311i
\(260\) 4604.10 + 16582.5i 1.09821 + 3.95539i
\(261\) −2579.49 + 2149.83i −0.611748 + 0.509851i
\(262\) 5252.51 3992.86i 1.23856 0.941525i
\(263\) 1973.26 + 547.873i 0.462648 + 0.128454i 0.491028 0.871144i \(-0.336621\pi\)
−0.0283802 + 0.999597i \(0.509035\pi\)
\(264\) 1085.84 426.765i 0.253140 0.0994908i
\(265\) −416.915 7689.54i −0.0966448 1.78251i
\(266\) 607.022 + 11195.9i 0.139921 + 2.58068i
\(267\) 353.977 139.123i 0.0811350 0.0318883i
\(268\) −1486.45 412.710i −0.338803 0.0940681i
\(269\) 522.095 396.886i 0.118337 0.0899576i −0.544332 0.838870i \(-0.683217\pi\)
0.662669 + 0.748912i \(0.269424\pi\)
\(270\) −6167.31 9376.66i −1.39011 2.11350i
\(271\) −1450.81 5225.33i −0.325204 1.17128i −0.927753 0.373196i \(-0.878262\pi\)
0.602549 0.798082i \(-0.294152\pi\)
\(272\) −1806.31 1906.90i −0.402661 0.425084i
\(273\) −608.527 12286.2i −0.134907 2.72378i
\(274\) −2075.90 + 3450.17i −0.457699 + 0.760702i
\(275\) −1194.76 552.753i −0.261987 0.121208i
\(276\) −849.616 581.872i −0.185293 0.126901i
\(277\) −3390.70 3211.84i −0.735478 0.696681i 0.225211 0.974310i \(-0.427693\pi\)
−0.960688 + 0.277629i \(0.910452\pi\)
\(278\) −2523.60 + 3722.03i −0.544444 + 0.802995i
\(279\) 1914.50 4038.56i 0.410817 0.866604i
\(280\) 1711.74 + 15739.2i 0.365342 + 3.35927i
\(281\) 1370.35 + 2277.54i 0.290919 + 0.483511i 0.967505 0.252853i \(-0.0813688\pi\)
−0.676586 + 0.736364i \(0.736541\pi\)
\(282\) −1303.72 + 875.072i −0.275302 + 0.184786i
\(283\) 331.978 + 985.275i 0.0697315 + 0.206956i 0.976852 0.213914i \(-0.0686213\pi\)
−0.907121 + 0.420870i \(0.861725\pi\)
\(284\) −1174.63 5336.42i −0.245429 1.11499i
\(285\) −3042.10 + 5673.74i −0.632275 + 1.17924i
\(286\) 2047.01 + 1738.75i 0.423225 + 0.359491i
\(287\) −4954.23 812.205i −1.01895 0.167049i
\(288\) 1271.34 + 3279.71i 0.260120 + 0.671037i
\(289\) 4320.60 + 10843.9i 0.879422 + 2.20718i
\(290\) 9428.02 + 3176.67i 1.90908 + 0.643243i
\(291\) 4066.93 + 915.161i 0.819271 + 0.184356i
\(292\) −180.380 389.885i −0.0361505 0.0781380i
\(293\) −2186.93 118.572i −0.436047 0.0236418i −0.165191 0.986262i \(-0.552824\pi\)
−0.270856 + 0.962620i \(0.587307\pi\)
\(294\) 2028.91 17877.3i 0.402478 3.54635i
\(295\) −7463.51 + 1995.66i −1.47302 + 0.393870i
\(296\) 7020.13i 1.37850i
\(297\) −1030.07 427.257i −0.201248 0.0834746i
\(298\) 9703.80 4489.46i 1.88633 0.872709i
\(299\) 110.051 1011.91i 0.0212857 0.195719i
\(300\) −5117.09 + 10926.0i −0.984785 + 2.10272i
\(301\) −1297.38 + 516.923i −0.248437 + 0.0989865i
\(302\) −9370.95 + 6353.66i −1.78556 + 1.21064i
\(303\) 7537.40 + 2130.76i 1.42908 + 0.403991i
\(304\) −959.588 + 1129.71i −0.181040 + 0.213137i
\(305\) 487.509 1223.56i 0.0915236 0.229707i
\(306\) −152.608 + 16316.3i −0.0285098 + 3.04817i
\(307\) 4115.68 1386.73i 0.765128 0.257802i 0.0904374 0.995902i \(-0.471173\pi\)
0.674691 + 0.738100i \(0.264277\pi\)
\(308\) 2371.85 + 2792.36i 0.438794 + 0.516589i
\(309\) 7526.57 3439.52i 1.38567 0.633229i
\(310\) −13164.2 + 1431.70i −2.41187 + 0.262306i
\(311\) −230.422 + 1046.82i −0.0420129 + 0.190867i −0.992953 0.118508i \(-0.962189\pi\)
0.950940 + 0.309375i \(0.100120\pi\)
\(312\) 6879.92 8023.32i 1.24839 1.45587i
\(313\) −790.750 + 834.785i −0.142798 + 0.150750i −0.793471 0.608608i \(-0.791728\pi\)
0.650673 + 0.759358i \(0.274487\pi\)
\(314\) −276.855 146.779i −0.0497575 0.0263798i
\(315\) 9270.17 11960.8i 1.65814 2.13942i
\(316\) −4495.96 2705.13i −0.800372 0.481568i
\(317\) −140.889 + 23.0975i −0.0249624 + 0.00409238i −0.174250 0.984701i \(-0.555750\pi\)
0.149288 + 0.988794i \(0.452302\pi\)
\(318\) −8799.66 + 6624.62i −1.55176 + 1.16821i
\(319\) 952.514 264.464i 0.167180 0.0464174i
\(320\) 7990.18 10510.9i 1.39583 1.83618i
\(321\) 912.451 543.208i 0.158654 0.0944514i
\(322\) 583.425 2101.31i 0.100972 0.363669i
\(323\) 8269.51 4384.22i 1.42454 0.755246i
\(324\) −3959.88 + 9422.08i −0.678992 + 1.61558i
\(325\) −11908.1 + 645.638i −2.03244 + 0.110195i
\(326\) −6410.44 12091.4i −1.08908 2.05423i
\(327\) 2151.18 5326.49i 0.363794 0.900781i
\(328\) −2610.40 3433.93i −0.439437 0.578070i
\(329\) −1685.44 1281.24i −0.282436 0.214702i
\(330\) 519.275 + 3262.94i 0.0866217 + 0.544300i
\(331\) 4328.41 4100.09i 0.718764 0.680850i −0.238147 0.971229i \(-0.576540\pi\)
0.956912 + 0.290379i \(0.0937815\pi\)
\(332\) −2072.79 12643.5i −0.342648 2.09006i
\(333\) 4659.86 4828.10i 0.766843 0.794529i
\(334\) −3742.10 + 8088.42i −0.613050 + 1.32509i
\(335\) 878.659 1657.33i 0.143302 0.270297i
\(336\) 2666.01 2243.15i 0.432865 0.364208i
\(337\) 8385.71 + 5685.65i 1.35549 + 0.919042i 0.999878 0.0155937i \(-0.00496384\pi\)
0.355607 + 0.934636i \(0.384274\pi\)
\(338\) 13693.5 + 3014.17i 2.20364 + 0.485057i
\(339\) −27.4854 + 5877.41i −0.00440354 + 0.941643i
\(340\) 26374.2 15868.8i 4.20688 2.53120i
\(341\) −1002.82 + 851.802i −0.159254 + 0.135272i
\(342\) 9162.97 909.906i 1.44876 0.143866i
\(343\) 12679.4 2790.94i 1.99598 0.439349i
\(344\) −1114.70 444.137i −0.174711 0.0696113i
\(345\) 913.080 856.850i 0.142489 0.133714i
\(346\) 900.141 5490.62i 0.139861 0.853114i
\(347\) 2133.71 + 3146.99i 0.330097 + 0.486856i 0.956131 0.292939i \(-0.0946334\pi\)
−0.626034 + 0.779796i \(0.715323\pi\)
\(348\) −2382.95 8740.96i −0.367067 1.34645i
\(349\) −354.246 + 1051.36i −0.0543333 + 0.161256i −0.971384 0.237516i \(-0.923667\pi\)
0.917050 + 0.398772i \(0.130563\pi\)
\(350\) −25400.8 2762.51i −3.87924 0.421892i
\(351\) −10057.4 + 951.252i −1.52942 + 0.144656i
\(352\) 56.0624 1034.01i 0.00848902 0.156571i
\(353\) −3278.43 −0.494315 −0.247157 0.968975i \(-0.579496\pi\)
−0.247157 + 0.968975i \(0.579496\pi\)
\(354\) 8319.34 + 7272.77i 1.24906 + 1.09193i
\(355\) 6644.23 0.993349
\(356\) −55.5563 + 1024.68i −0.00827101 + 0.152550i
\(357\) −20882.0 + 6927.39i −3.09578 + 1.02699i
\(358\) −9672.50 1051.95i −1.42795 0.155299i
\(359\) 815.121 2419.19i 0.119834 0.355655i −0.870902 0.491457i \(-0.836465\pi\)
0.990736 + 0.135802i \(0.0433611\pi\)
\(360\) 12849.7 1983.38i 1.88122 0.290371i
\(361\) 885.017 + 1305.30i 0.129030 + 0.190305i
\(362\) 2533.53 15453.8i 0.367843 2.24374i
\(363\) −4508.00 4803.83i −0.651814 0.694589i
\(364\) 30832.7 + 12284.9i 4.43976 + 1.76896i
\(365\) 510.153 112.293i 0.0731579 0.0161033i
\(366\) −1841.68 + 396.364i −0.263022 + 0.0566073i
\(367\) 8124.50 6901.01i 1.15557 0.981552i 0.155592 0.987821i \(-0.450271\pi\)
0.999980 + 0.00626900i \(0.00199550\pi\)
\(368\) 247.030 148.633i 0.0349928 0.0210545i
\(369\) −484.084 + 4094.43i −0.0682938 + 0.577635i
\(370\) −19415.8 4273.73i −2.72805 0.600488i
\(371\) −12292.4 8334.45i −1.72019 1.16632i
\(372\) 7763.64 + 9227.17i 1.08206 + 1.28604i
\(373\) 2540.13 4791.18i 0.352608 0.665089i −0.642236 0.766507i \(-0.721993\pi\)
0.994844 + 0.101418i \(0.0323380\pi\)
\(374\) 2016.99 4359.65i 0.278866 0.602759i
\(375\) −2854.03 2190.71i −0.393018 0.301675i
\(376\) −294.288 1795.07i −0.0403636 0.246207i
\(377\) 6501.50 6158.55i 0.888182 0.841330i
\(378\) −21594.0 1474.88i −2.93829 0.200687i
\(379\) −6771.62 5147.65i −0.917770 0.697670i 0.0356349 0.999365i \(-0.488655\pi\)
−0.953405 + 0.301694i \(0.902448\pi\)
\(380\) −10511.8 13828.1i −1.41907 1.86675i
\(381\) −216.407 87.3994i −0.0290994 0.0117523i
\(382\) 1101.58 + 2077.79i 0.147543 + 0.278296i
\(383\) 8978.35 486.792i 1.19784 0.0649449i 0.555600 0.831450i \(-0.312489\pi\)
0.642239 + 0.766505i \(0.278006\pi\)
\(384\) −13445.6 792.076i −1.78683 0.105262i
\(385\) −3936.01 + 2086.74i −0.521033 + 0.276234i
\(386\) −297.180 + 1070.35i −0.0391868 + 0.141138i
\(387\) 471.824 + 1045.38i 0.0619746 + 0.137311i
\(388\) −6806.62 + 8953.96i −0.890603 + 1.17157i
\(389\) −2110.84 + 586.072i −0.275126 + 0.0763882i −0.402351 0.915486i \(-0.631807\pi\)
0.127225 + 0.991874i \(0.459393\pi\)
\(390\) 18001.9 + 23912.4i 2.33734 + 3.10475i
\(391\) −1796.51 + 294.522i −0.232361 + 0.0380937i
\(392\) 17860.2 + 10746.1i 2.30121 + 1.38459i
\(393\) 3795.87 6242.51i 0.487217 0.801254i
\(394\) 6029.74 + 3196.76i 0.770999 + 0.408758i
\(395\) 4387.67 4632.00i 0.558905 0.590029i
\(396\) 2203.64 2048.64i 0.279640 0.259970i
\(397\) −814.242 + 3699.14i −0.102936 + 0.467643i 0.896749 + 0.442540i \(0.145923\pi\)
−0.999685 + 0.0251034i \(0.992009\pi\)
\(398\) −13142.0 + 1429.28i −1.65514 + 0.180008i
\(399\) 5160.46 + 11292.4i 0.647484 + 1.41686i
\(400\) −2186.71 2574.40i −0.273339 0.321799i
\(401\) 2206.59 743.485i 0.274792 0.0925882i −0.178532 0.983934i \(-0.557135\pi\)
0.453324 + 0.891346i \(0.350238\pi\)
\(402\) −2668.62 + 277.609i −0.331091 + 0.0344424i
\(403\) −4411.86 + 11072.9i −0.545336 + 1.36869i
\(404\) −13681.6 + 16107.2i −1.68487 + 1.98358i
\(405\) −10154.0 7165.40i −1.24581 0.879139i
\(406\) 15880.7 10767.4i 1.94125 1.31620i
\(407\) −1835.10 + 731.170i −0.223495 + 0.0890485i
\(408\) −17118.8 8017.38i −2.07722 0.972842i
\(409\) 1071.85 9855.49i 0.129583 1.19150i −0.731068 0.682304i \(-0.760978\pi\)
0.860652 0.509194i \(-0.170056\pi\)
\(410\) 11086.5 5129.14i 1.33542 0.617830i
\(411\) −741.904 + 4396.54i −0.0890400 + 0.527652i
\(412\) 22327.4i 2.66989i
\(413\) −5646.79 + 13787.9i −0.672785 + 1.64276i
\(414\) −1745.42 401.347i −0.207204 0.0476452i
\(415\) 15556.4 + 843.442i 1.84008 + 0.0997662i
\(416\) −3938.94 8513.89i −0.464237 1.00343i
\(417\) −1093.18 + 4858.06i −0.128378 + 0.570504i
\(418\) −2568.89 865.559i −0.300594 0.101282i
\(419\) −2643.26 6634.08i −0.308190 0.773498i −0.998739 0.0502124i \(-0.984010\pi\)
0.690549 0.723286i \(-0.257369\pi\)
\(420\) 18955.9 + 36162.3i 2.20228 + 4.20129i
\(421\) 16330.6 + 2677.26i 1.89051 + 0.309933i 0.991716 0.128448i \(-0.0409994\pi\)
0.898790 + 0.438380i \(0.144448\pi\)
\(422\) 3365.57 + 2858.74i 0.388231 + 0.329766i
\(423\) −989.148 + 1429.91i −0.113697 + 0.164360i
\(424\) −2743.09 12462.0i −0.314189 1.42737i
\(425\) 6810.44 + 20212.7i 0.777306 + 2.30696i
\(426\) −5296.26 7890.59i −0.602358 0.897418i
\(427\) −1309.56 2176.50i −0.148417 0.246670i
\(428\) 309.774 + 2848.33i 0.0349848 + 0.321680i
\(429\) 2813.90 + 962.791i 0.316682 + 0.108354i
\(430\) 1906.97 2812.57i 0.213866 0.315429i
\(431\) 12127.6 + 11487.9i 1.35538 + 1.28388i 0.924352 + 0.381542i \(0.124607\pi\)
0.431026 + 0.902340i \(0.358152\pi\)
\(432\) −1938.41 2104.72i −0.215883 0.234406i
\(433\) 5971.12 + 2762.53i 0.662711 + 0.306603i 0.722259 0.691623i \(-0.243104\pi\)
−0.0595482 + 0.998225i \(0.518966\pi\)
\(434\) −13166.0 + 21882.1i −1.45620 + 2.42022i
\(435\) 11003.1 544.977i 1.21278 0.0600681i
\(436\) 10658.8 + 11252.3i 1.17079 + 1.23598i
\(437\) 274.843 + 989.896i 0.0300859 + 0.108360i
\(438\) −540.012 516.339i −0.0589104 0.0563279i
\(439\) −6660.53 + 5063.20i −0.724122 + 0.550463i −0.901026 0.433765i \(-0.857185\pi\)
0.176904 + 0.984228i \(0.443392\pi\)
\(440\) −3688.16 1024.01i −0.399605 0.110950i
\(441\) −5150.23 19245.9i −0.556120 2.07817i
\(442\) −2355.92 43452.4i −0.253529 4.67606i
\(443\) −3.17509 58.5611i −0.000340526 0.00628063i 0.998358 0.0572790i \(-0.0182424\pi\)
−0.998699 + 0.0509983i \(0.983760\pi\)
\(444\) 6622.40 + 16849.7i 0.707849 + 1.80102i
\(445\) −1202.32 333.822i −0.128079 0.0355610i
\(446\) 18234.6 13861.6i 1.93595 1.47167i
\(447\) 8182.16 8557.29i 0.865778 0.905472i
\(448\) −6812.04 24534.8i −0.718390 2.58741i
\(449\) −7226.54 7628.97i −0.759558 0.801856i 0.225470 0.974250i \(-0.427608\pi\)
−0.985028 + 0.172394i \(0.944850\pi\)
\(450\) −1331.93 + 20941.0i −0.139528 + 2.19371i
\(451\) 625.764 1040.03i 0.0653349 0.108588i
\(452\) −14392.3 6658.60i −1.49770 0.692908i
\(453\) −7084.03 + 10343.7i −0.734739 + 1.07282i
\(454\) 21296.2 + 20172.8i 2.20149 + 2.08537i
\(455\) −22648.2 + 33403.7i −2.33355 + 3.44173i
\(456\) −3453.38 + 10093.0i −0.354648 + 1.03651i
\(457\) −99.1064 911.268i −0.0101444 0.0932765i 0.987971 0.154638i \(-0.0494212\pi\)
−0.998116 + 0.0613617i \(0.980456\pi\)
\(458\) 3698.22 + 6146.49i 0.377307 + 0.627089i
\(459\) 6451.61 + 16877.1i 0.656069 + 1.71625i
\(460\) 1078.75 + 3201.60i 0.109341 + 0.324512i
\(461\) 285.160 + 1295.49i 0.0288096 + 0.130883i 0.988830 0.149046i \(-0.0476201\pi\)
−0.960021 + 0.279929i \(0.909689\pi\)
\(462\) 5615.67 + 3010.96i 0.565508 + 0.303209i
\(463\) 4483.91 + 3808.67i 0.450076 + 0.382298i 0.843561 0.537033i \(-0.180455\pi\)
−0.393486 + 0.919331i \(0.628731\pi\)
\(464\) 2503.05 + 410.354i 0.250434 + 0.0410565i
\(465\) −12987.0 + 6807.65i −1.29518 + 0.678918i
\(466\) −6849.86 17191.8i −0.680930 1.70901i
\(467\) 6661.28 + 2244.45i 0.660059 + 0.222400i 0.629342 0.777128i \(-0.283324\pi\)
0.0307167 + 0.999528i \(0.490221\pi\)
\(468\) 8944.41 25747.7i 0.883452 2.54314i
\(469\) −1519.01 3283.29i −0.149555 0.323259i
\(470\) 5143.84 + 278.891i 0.504825 + 0.0273708i
\(471\) −344.776 39.1289i −0.0337292 0.00382795i
\(472\) −11669.1 + 5264.01i −1.13796 + 0.513338i
\(473\) 337.647i 0.0328225i
\(474\) −8998.40 1518.46i −0.871963 0.147142i
\(475\) 10924.1 5054.01i 1.05522 0.488198i
\(476\) 6418.05 59013.0i 0.618006 5.68247i
\(477\) −6385.51 + 10391.5i −0.612940 + 0.997476i
\(478\) −14183.1 + 5651.06i −1.35715 + 0.540739i
\(479\) 9857.29 6683.41i 0.940274 0.637522i 0.00826856 0.999966i \(-0.497368\pi\)
0.932005 + 0.362444i \(0.118058\pi\)
\(480\) 3139.29 11105.0i 0.298517 1.05598i
\(481\) −11585.1 + 13639.1i −1.09820 + 1.29291i
\(482\) 8301.82 20836.0i 0.784517 1.96899i
\(483\) −249.862 2401.90i −0.0235386 0.226273i
\(484\) 16844.0 5675.42i 1.58190 0.533003i
\(485\) −8853.91 10423.6i −0.828939 0.975903i
\(486\) −415.584 + 17770.4i −0.0387886 + 1.65860i
\(487\) −19028.0 + 2069.42i −1.77051 + 0.192555i −0.934453 0.356085i \(-0.884111\pi\)
−0.836059 + 0.548640i \(0.815146\pi\)
\(488\) 469.159 2131.41i 0.0435202 0.197714i
\(489\) −11504.1 9864.66i −1.06387 0.912260i
\(490\) −40593.7 + 42854.3i −3.74252 + 3.95093i
\(491\) 594.317 + 315.087i 0.0546256 + 0.0289607i 0.495497 0.868609i \(-0.334986\pi\)
−0.440872 + 0.897570i \(0.645331\pi\)
\(492\) −9504.86 5779.59i −0.870959 0.529602i
\(493\) −13724.1 8257.51i −1.25376 0.754360i
\(494\) −24233.7 + 3972.91i −2.20714 + 0.361841i
\(495\) 1856.81 + 3152.41i 0.168601 + 0.286243i
\(496\) −3252.97 + 903.184i −0.294482 + 0.0817624i
\(497\) 7754.54 10200.9i 0.699876 0.920672i
\(498\) −11398.7 19146.9i −1.02568 1.72287i
\(499\) −832.492 + 2998.37i −0.0746843 + 0.268989i −0.991459 0.130415i \(-0.958369\pi\)
0.916775 + 0.399404i \(0.130783\pi\)
\(500\) 8576.63 4547.04i 0.767118 0.406700i
\(501\) −580.353 + 9851.55i −0.0517530 + 0.878512i
\(502\) −1007.99 + 54.6516i −0.0896190 + 0.00485900i
\(503\) 5011.66 + 9453.00i 0.444253 + 0.837949i 0.999978 + 0.00658351i \(0.00209561\pi\)
−0.555726 + 0.831366i \(0.687560\pi\)
\(504\) 11952.0 22043.1i 1.05631 1.94817i
\(505\) −15551.6 20457.8i −1.37037 1.80269i
\(506\) 419.740 + 319.078i 0.0368769 + 0.0280331i
\(507\) 15333.2 2440.18i 1.34314 0.213752i
\(508\) 457.166 433.050i 0.0399280 0.0378218i
\(509\) −902.209 5503.23i −0.0785652 0.479227i −0.996577 0.0826730i \(-0.973654\pi\)
0.918011 0.396554i \(-0.129794\pi\)
\(510\) 32595.5 42465.0i 2.83010 3.68702i
\(511\) 423.000 914.300i 0.0366192 0.0791511i
\(512\) 3403.41 6419.52i 0.293772 0.554112i
\(513\) 9074.68 4649.19i 0.781007 0.400130i
\(514\) 23042.4 + 15623.1i 1.97734 + 1.34067i
\(515\) −26514.6 5836.30i −2.26868 0.499375i
\(516\) −3094.48 14.4712i −0.264005 0.00123461i
\(517\) 438.591 263.891i 0.0373099 0.0224486i
\(518\) −29221.8 + 24821.2i −2.47863 + 2.10537i
\(519\) −1296.30 6023.15i −0.109636 0.509416i
\(520\) −33864.5 + 7454.14i −2.85588 + 0.628626i
\(521\) 17599.0 + 7012.09i 1.47990 + 0.589645i 0.963739 0.266847i \(-0.0859819\pi\)
0.516159 + 0.856493i \(0.327361\pi\)
\(522\) −9418.01 12632.7i −0.789684 1.05923i
\(523\) −2949.53 + 17991.4i −0.246604 + 1.50422i 0.515570 + 0.856848i \(0.327580\pi\)
−0.762174 + 0.647372i \(0.775868\pi\)
\(524\) 11062.3 + 16315.6i 0.922248 + 1.36021i
\(525\) −27296.7 + 7441.58i −2.26919 + 0.618623i
\(526\) −3068.44 + 9106.80i −0.254354 + 0.754896i
\(527\) 21193.3 + 2304.91i 1.75180 + 0.190519i
\(528\) 265.231 + 799.515i 0.0218612 + 0.0658985i
\(529\) −647.890 + 11949.6i −0.0532498 + 0.982134i
\(530\) 36136.3 2.96163
\(531\) 11519.6 + 4125.48i 0.941448 + 0.337157i
\(532\) −33498.7 −2.72999
\(533\) 595.290 10979.5i 0.0483769 0.892259i
\(534\) 561.951 + 1693.95i 0.0455394 + 0.137274i
\(535\) −3463.46 376.674i −0.279885 0.0304393i
\(536\) 992.475 2945.56i 0.0799783 0.237367i
\(537\) −10394.4 + 2833.71i −0.835295 + 0.227717i
\(538\) 1727.03 + 2547.18i 0.138397 + 0.204120i
\(539\) −948.891 + 5787.98i −0.0758286 + 0.462534i
\(540\) 28970.9 16882.2i 2.30872 1.34536i
\(541\) −1440.55 573.966i −0.114480 0.0456132i 0.312195 0.950018i \(-0.398936\pi\)
−0.426675 + 0.904405i \(0.640315\pi\)
\(542\) 24852.6 5470.46i 1.96957 0.433536i
\(543\) −3648.54 16952.7i −0.288349 1.33980i
\(544\) −12787.5 + 10861.8i −1.00783 + 0.856062i
\(545\) −16148.7 + 9716.35i −1.26924 + 0.763675i
\(546\) 57723.1 + 269.939i 4.52440 + 0.0211581i
\(547\) 23075.4 + 5079.27i 1.80371 + 0.397027i 0.984347 0.176243i \(-0.0563946\pi\)
0.819366 + 0.573271i \(0.194326\pi\)
\(548\) −9957.09 6751.08i −0.776179 0.526262i
\(549\) −1737.46 + 1154.46i −0.135070 + 0.0897470i
\(550\) 2893.52 5457.77i 0.224328 0.423127i
\(551\) −3795.22 + 8203.23i −0.293433 + 0.634246i
\(552\) 1263.35 1645.87i 0.0974122 0.126907i
\(553\) −1990.66 12142.5i −0.153077 0.933725i
\(554\) 15910.9 15071.6i 1.22020 1.15583i
\(555\) −21740.7 + 3459.88i −1.66278 + 0.264620i
\(556\) −10695.7 8130.69i −0.815828 0.620176i
\(557\) −4192.10 5514.62i −0.318896 0.419501i 0.608516 0.793542i \(-0.291765\pi\)
−0.927412 + 0.374041i \(0.877972\pi\)
\(558\) 18436.9 + 9996.62i 1.39874 + 0.758406i
\(559\) −1432.75 2702.45i −0.108406 0.204475i
\(560\) −11414.0 + 618.850i −0.861303 + 0.0466985i
\(561\) 312.809 5309.97i 0.0235416 0.399621i
\(562\) −11019.9 + 5842.36i −0.827126 + 0.438514i
\(563\) −2584.58 + 9308.83i −0.193476 + 0.696839i 0.801612 + 0.597845i \(0.203976\pi\)
−0.995088 + 0.0989940i \(0.968438\pi\)
\(564\) −2399.72 4030.92i −0.179160 0.300944i
\(565\) 11669.4 15350.9i 0.868914 1.14304i
\(566\) −4700.98 + 1305.22i −0.349111 + 0.0969302i
\(567\) −22851.9 + 7226.62i −1.69257 + 0.535255i
\(568\) 10864.5 1781.14i 0.802575 0.131575i
\(569\) −20704.9 12457.7i −1.52548 0.917849i −0.997651 0.0684951i \(-0.978180\pi\)
−0.527825 0.849353i \(-0.676992\pi\)
\(570\) −25812.2 15695.6i −1.89676 1.15336i
\(571\) −19021.7 10084.6i −1.39410 0.739105i −0.409235 0.912429i \(-0.634205\pi\)
−0.984865 + 0.173324i \(0.944549\pi\)
\(572\) −5518.31 + 5825.61i −0.403378 + 0.425841i
\(573\) 1976.88 + 1695.15i 0.144128 + 0.123588i
\(574\) 5064.31 23007.4i 0.368258 1.67301i
\(575\) −2327.39 + 253.119i −0.168798 + 0.0183579i
\(576\) −19878.2 + 6491.36i −1.43795 + 0.469572i
\(577\) −12405.5 14604.9i −0.895060 1.05375i −0.998253 0.0590851i \(-0.981182\pi\)
0.103193 0.994661i \(-0.467094\pi\)
\(578\) −51908.2 + 17489.9i −3.73546 + 1.25862i
\(579\) 127.273 + 1223.46i 0.00913520 + 0.0878155i
\(580\) −11001.9 + 27612.7i −0.787638 + 1.97682i
\(581\) 19450.9 22899.4i 1.38892 1.63516i
\(582\) −5321.31 + 18823.7i −0.378995 + 1.34066i
\(583\) 2971.92 2015.01i 0.211122 0.143145i
\(584\) 804.086 320.377i 0.0569748 0.0227008i
\(585\) 28238.2 + 17352.2i 1.99574 + 1.22636i
\(586\) 1111.17 10217.0i 0.0783310 0.720242i
\(587\) −11998.6 + 5551.17i −0.843675 + 0.390326i −0.793615 0.608421i \(-0.791803\pi\)
−0.0500602 + 0.998746i \(0.515941\pi\)
\(588\) 53005.2 + 8944.49i 3.71751 + 0.627321i
\(589\) 12030.4i 0.841603i
\(590\) −7454.83 35478.3i −0.520187 2.47562i
\(591\) 7509.01 + 852.203i 0.522639 + 0.0593146i
\(592\) −5061.14 274.407i −0.351371 0.0190508i
\(593\) 8984.17 + 19419.0i 0.622151 + 1.34476i 0.920665 + 0.390353i \(0.127647\pi\)
−0.298514 + 0.954405i \(0.596491\pi\)
\(594\) 2263.66 4717.98i 0.156362 0.325894i
\(595\) 68402.4 + 23047.4i 4.71298 + 1.58799i
\(596\) 11823.8 + 29675.5i 0.812620 + 2.03952i
\(597\) −12965.0 + 6796.13i −0.888815 + 0.465908i
\(598\) 4713.46 + 772.733i 0.322321 + 0.0528418i
\(599\) 379.663 + 322.489i 0.0258975 + 0.0219975i 0.660242 0.751053i \(-0.270454\pi\)
−0.634344 + 0.773051i \(0.718730\pi\)
\(600\) −21423.9 11486.9i −1.45771 0.781585i
\(601\) −798.887 3629.38i −0.0542218 0.246332i 0.941712 0.336420i \(-0.109216\pi\)
−0.995934 + 0.0900881i \(0.971285\pi\)
\(602\) −2092.52 6210.37i −0.141669 0.420458i
\(603\) −2637.79 + 1367.02i −0.178141 + 0.0923206i
\(604\) −17439.1 28984.0i −1.17481 1.95256i
\(605\) 2336.79 + 21486.4i 0.157031 + 1.44388i
\(606\) −11898.8 + 34776.2i −0.797619 + 2.33117i
\(607\) 5244.71 7735.38i 0.350702 0.517247i −0.610895 0.791712i \(-0.709190\pi\)
0.961597 + 0.274464i \(0.0885005\pi\)
\(608\) 6873.87 + 6511.27i 0.458507 + 0.434321i
\(609\) 12005.1 17529.2i 0.798804 1.16637i
\(610\) 5609.29 + 2595.13i 0.372317 + 0.172252i
\(611\) 2390.61 3973.22i 0.158287 0.263076i
\(612\) −48651.6 3094.42i −3.21344 0.204387i
\(613\) 9114.36 + 9621.92i 0.600531 + 0.633973i 0.953403 0.301698i \(-0.0975535\pi\)
−0.352872 + 0.935672i \(0.614795\pi\)
\(614\) 5452.16 + 19636.9i 0.358357 + 1.29068i
\(615\) 9348.00 9776.59i 0.612923 0.641024i
\(616\) −5876.66 + 4467.32i −0.384379 + 0.292197i
\(617\) 4023.05 + 1116.99i 0.262499 + 0.0728824i 0.396284 0.918128i \(-0.370299\pi\)
−0.133785 + 0.991010i \(0.542713\pi\)
\(618\) 14204.2 + 36140.6i 0.924561 + 2.35241i
\(619\) −803.015 14810.7i −0.0521420 0.961703i −0.901200 0.433403i \(-0.857313\pi\)
0.849058 0.528299i \(-0.177170\pi\)
\(620\) −2141.86 39504.4i −0.138741 2.55893i
\(621\) −1961.37 + 293.357i −0.126742 + 0.0189566i
\(622\) −4846.46 1345.61i −0.312420 0.0867430i
\(623\) −1915.75 + 1456.32i −0.123199 + 0.0936536i
\(624\) 5515.46 + 5273.68i 0.353838 + 0.338327i
\(625\) −2380.52 8573.86i −0.152353 0.548727i
\(626\) −3710.61 3917.24i −0.236910 0.250103i
\(627\) −2998.05 + 148.492i −0.190958 + 0.00945805i
\(628\) 482.668 802.200i 0.0306696 0.0509733i
\(629\) 29047.9 + 13439.0i 1.84136 + 0.851905i
\(630\) 53689.1 + 46475.3i 3.39527 + 2.93908i
\(631\) −6176.41 5850.61i −0.389666 0.369111i 0.467640 0.883919i \(-0.345104\pi\)
−0.857305 + 0.514808i \(0.827863\pi\)
\(632\) 5932.88 8750.34i 0.373413 0.550743i
\(633\) 4626.44 + 1582.96i 0.290497 + 0.0993950i
\(634\) −72.4341 666.020i −0.00453742 0.0417209i
\(635\) 394.761 + 656.098i 0.0246703 + 0.0410023i
\(636\) −18339.9 27323.5i −1.14343 1.70353i
\(637\) 16965.6 + 50352.2i 1.05526 + 3.13191i
\(638\) 997.199 + 4530.32i 0.0618801 + 0.281124i
\(639\) −8654.32 5986.69i −0.535774 0.370625i
\(640\) 33678.9 + 28607.1i 2.08012 + 1.76687i
\(641\) −30749.9 5041.19i −1.89477 0.310632i −0.902105 0.431517i \(-0.857979\pi\)
−0.992667 + 0.120884i \(0.961427\pi\)
\(642\) 2313.47 + 4413.41i 0.142220 + 0.271314i
\(643\) −2264.44 5683.32i −0.138882 0.348566i 0.843041 0.537849i \(-0.180763\pi\)
−0.981923 + 0.189283i \(0.939384\pi\)
\(644\) 6174.45 + 2080.42i 0.377807 + 0.127298i
\(645\) 826.070 3671.02i 0.0504286 0.224103i
\(646\) 18442.0 + 39861.7i 1.12321 + 2.42777i
\(647\) −24612.0 1334.42i −1.49552 0.0810845i −0.711878 0.702303i \(-0.752155\pi\)
−0.783637 + 0.621219i \(0.786638\pi\)
\(648\) −18524.3 8994.66i −1.12300 0.545283i
\(649\) −2591.42 2502.11i −0.156737 0.151335i
\(650\) 55961.0i 3.37688i
\(651\) −4705.40 + 27884.3i −0.283286 + 1.67876i
\(652\) 37109.0 17168.5i 2.22899 1.03124i
\(653\) −1416.04 + 13020.2i −0.0848604 + 0.780278i 0.871956 + 0.489585i \(0.162852\pi\)
−0.956816 + 0.290694i \(0.906114\pi\)
\(654\) 24411.5 + 11432.8i 1.45958 + 0.683577i
\(655\) −22267.0 + 8872.00i −1.32831 + 0.529248i
\(656\) 2577.72 1747.73i 0.153419 0.104021i
\(657\) −765.671 313.401i −0.0454668 0.0186102i
\(658\) 6431.61 7571.87i 0.381049 0.448605i
\(659\) 2412.59 6055.14i 0.142612 0.357928i −0.840270 0.542169i \(-0.817603\pi\)
0.982881 + 0.184241i \(0.0589826\pi\)
\(660\) −9818.31 + 1021.37i −0.579057 + 0.0602376i
\(661\) 29213.7 9843.23i 1.71903 0.579209i 0.725044 0.688703i \(-0.241819\pi\)
0.993988 + 0.109493i \(0.0349229\pi\)
\(662\) 18111.9 + 21323.0i 1.06335 + 1.25187i
\(663\) −20028.3 43827.2i −1.17321 2.56728i
\(664\) 25663.5 2791.07i 1.49990 0.163124i
\(665\) 8756.45 39780.9i 0.510617 2.31976i
\(666\) 21438.9 + 23061.0i 1.24736 + 1.34173i
\(667\) 1208.99 1276.31i 0.0701831 0.0740914i
\(668\) −23524.9 12472.1i −1.36258 0.722395i
\(669\) 13177.7 21671.5i 0.761555 1.25242i
\(670\) 7542.41 + 4538.12i 0.434908 + 0.261676i
\(671\) 606.027 99.3531i 0.0348665 0.00571607i
\(672\) −13385.6 17780.5i −0.768396 1.02068i
\(673\) −20582.0 + 5714.55i −1.17886 + 0.327310i −0.801065 0.598577i \(-0.795733\pi\)
−0.377800 + 0.925887i \(0.623319\pi\)
\(674\) −28771.3 + 37847.9i −1.64425 + 2.16298i
\(675\) 7109.46 + 22121.0i 0.405397 + 1.26139i
\(676\) −11207.1 + 40364.3i −0.637636 + 2.29656i
\(677\) 11496.1 6094.83i 0.652629 0.346002i −0.108975 0.994044i \(-0.534757\pi\)
0.761604 + 0.648043i \(0.224412\pi\)
\(678\) −27532.4 1621.93i −1.55955 0.0918729i
\(679\) −26337.0 + 1427.95i −1.48854 + 0.0807064i
\(680\) 29049.5 + 54793.1i 1.63823 + 3.09003i
\(681\) 30118.5 + 12163.8i 1.69478 + 0.684462i
\(682\) −3736.47 4915.24i −0.209790 0.275974i
\(683\) −3155.89 2399.05i −0.176804 0.134403i 0.513030 0.858371i \(-0.328523\pi\)
−0.689833 + 0.723968i \(0.742316\pi\)
\(684\) 1232.41 + 27483.0i 0.0688924 + 1.53632i
\(685\) 10619.9 10059.7i 0.592358 0.561111i
\(686\) 9856.16 + 60119.9i 0.548557 + 3.34605i
\(687\) 6300.97 + 4836.53i 0.349923 + 0.268596i
\(688\) 363.772 786.280i 0.0201579 0.0435707i
\(689\) 15236.2 28738.6i 0.842459 1.58905i
\(690\) 3782.92 + 4496.04i 0.208715 + 0.248060i
\(691\) −23687.5 16060.5i −1.30408 0.884185i −0.306372 0.951912i \(-0.599115\pi\)
−0.997704 + 0.0677268i \(0.978425\pi\)
\(692\) 16234.5 + 3573.49i 0.891827 + 0.196306i
\(693\) 7007.02 + 828.439i 0.384090 + 0.0454110i
\(694\) −15287.7 + 9198.31i −0.836186 + 0.503117i
\(695\) 12451.3 10576.2i 0.679575 0.577236i
\(696\) 17845.9 3840.76i 0.971905 0.209172i
\(697\) −19206.1 + 4227.59i −1.04374 + 0.229744i
\(698\) −4836.31 1926.96i −0.262260 0.104494i
\(699\) −14022.9 14943.2i −0.758791 0.808587i
\(700\) 12350.0 75331.4i 0.666835 4.06751i
\(701\) 13181.3 + 19441.0i 0.710202 + 1.04747i 0.996015 + 0.0891847i \(0.0284261\pi\)
−0.285813 + 0.958285i \(0.592264\pi\)
\(702\) −1902.16 47367.1i −0.102268 2.54666i
\(703\) 5767.14 17116.3i 0.309405 0.918282i
\(704\) 6120.05 + 665.596i 0.327639 + 0.0356329i
\(705\) 5414.14 1796.09i 0.289231 0.0959497i
\(706\) 832.877 15361.5i 0.0443991 0.818893i
\(707\) −49559.4 −2.63631
\(708\) −23042.5 + 23642.7i −1.22315 + 1.25501i
\(709\) −13526.3 −0.716489 −0.358245 0.933628i \(-0.616625\pi\)
−0.358245 + 0.933628i \(0.616625\pi\)
\(710\) −1687.95 + 31132.4i −0.0892221 + 1.64560i
\(711\) −9888.68 + 2079.89i −0.521596 + 0.109707i
\(712\) −2055.48 223.547i −0.108192 0.0117666i
\(713\) −747.139 + 2217.43i −0.0392435 + 0.116470i
\(714\) −27154.2 99605.3i −1.42328 5.22078i
\(715\) −5475.65 8075.98i −0.286402 0.422412i
\(716\) 4702.80 28685.8i 0.245463 1.49726i
\(717\) −12327.9 + 11568.7i −0.642113 + 0.602570i
\(718\) 11128.4 + 4433.95i 0.578423 + 0.230465i
\(719\) 13493.4 2970.13i 0.699889 0.154057i 0.149249 0.988800i \(-0.452315\pi\)
0.550641 + 0.834742i \(0.314383\pi\)
\(720\) 927.635 + 9341.51i 0.0480151 + 0.483524i
\(721\) −39905.9 + 33896.4i −2.06127 + 1.75086i
\(722\) −6341.01 + 3815.26i −0.326853 + 0.196661i
\(723\) 116.144 24835.9i 0.00597432 1.27754i
\(724\) 45693.5 + 10057.9i 2.34556 + 0.516297i
\(725\) −17048.1 11558.9i −0.873311 0.592120i
\(726\) 23654.3 19902.4i 1.20922 1.01742i
\(727\) 2991.06 5641.73i 0.152589 0.287813i −0.795419 0.606060i \(-0.792749\pi\)
0.948008 + 0.318247i \(0.103094\pi\)
\(728\) −28079.2 + 60692.1i −1.42951 + 3.08984i
\(729\) 6769.58 + 18482.2i 0.343930 + 0.938995i
\(730\) 396.562 + 2418.92i 0.0201060 + 0.122641i
\(731\) −3971.68 + 3762.18i −0.200955 + 0.190355i
\(732\) −884.580 5558.39i −0.0446653 0.280661i
\(733\) 11050.6 + 8400.42i 0.556837 + 0.423297i 0.845376 0.534172i \(-0.179376\pi\)
−0.288539 + 0.957468i \(0.593169\pi\)
\(734\) 30271.6 + 39821.6i 1.52227 + 2.00251i
\(735\) −24477.3 + 60607.5i −1.22838 + 3.04155i
\(736\) −862.606 1627.05i −0.0432012 0.0814861i
\(737\) 873.354 47.3519i 0.0436505 0.00236666i
\(738\) −19062.0 3308.42i −0.950790 0.165020i
\(739\) −4153.97 + 2202.29i −0.206774 + 0.109625i −0.568577 0.822630i \(-0.692506\pi\)
0.361803 + 0.932254i \(0.382161\pi\)
\(740\) 15890.3 57231.7i 0.789377 2.84308i
\(741\) −23365.7 + 13910.3i −1.15838 + 0.689617i
\(742\) 42175.0 55480.3i 2.08665 2.74494i
\(743\) 37582.0 10434.6i 1.85565 0.515219i 0.855654 0.517548i \(-0.173155\pi\)
0.999997 + 0.00232904i \(0.000741358\pi\)
\(744\) −19411.0 + 14613.1i −0.956508 + 0.720085i
\(745\) −38331.4 + 6284.11i −1.88504 + 0.309036i
\(746\) 21804.4 + 13119.3i 1.07013 + 0.643876i
\(747\) −19502.7 15115.5i −0.955244 0.740356i
\(748\) 12679.9 + 6722.44i 0.619815 + 0.328605i
\(749\) −4620.55 + 4877.86i −0.225409 + 0.237961i
\(750\) 10990.0 12816.4i 0.535062 0.623986i
\(751\) 6417.99 29157.2i 0.311845 1.41673i −0.516393 0.856352i \(-0.672726\pi\)
0.828238 0.560376i \(-0.189343\pi\)
\(752\) 1305.66 141.999i 0.0633144 0.00688585i
\(753\) −1016.68 + 464.608i −0.0492032 + 0.0224851i
\(754\) 27205.0 + 32028.3i 1.31399 + 1.54695i
\(755\) 38978.1 13133.2i 1.87888 0.633070i
\(756\) 7892.82 64182.6i 0.379708 3.08770i
\(757\) 5852.82 14689.5i 0.281010 0.705281i −0.718938 0.695074i \(-0.755372\pi\)
0.999948 0.0102070i \(-0.00324903\pi\)
\(758\) 25840.3 30421.6i 1.23821 1.45773i
\(759\) 561.820 + 158.822i 0.0268680 + 0.00759536i
\(760\) 28967.3 19640.3i 1.38257 0.937407i
\(761\) −8962.81 + 3571.11i −0.426940 + 0.170109i −0.573703 0.819063i \(-0.694494\pi\)
0.146763 + 0.989172i \(0.453114\pi\)
\(762\) 464.500 991.802i 0.0220827 0.0471512i
\(763\) −3929.73 + 36133.2i −0.186456 + 1.71443i
\(764\) −6376.85 + 2950.24i −0.301971 + 0.139707i
\(765\) 16392.1 56966.6i 0.774715 2.69233i
\(766\) 42193.0i 1.99020i
\(767\) −31358.4 9030.08i −1.47625 0.425107i
\(768\) 3496.68 30810.3i 0.164291 1.44762i
\(769\) −22164.8 1201.74i −1.03938 0.0563534i −0.473460 0.880815i \(-0.656995\pi\)
−0.565918 + 0.824462i \(0.691478\pi\)
\(770\) −8777.78 18972.9i −0.410817 0.887967i
\(771\) 30075.3 + 6767.68i 1.40484 + 0.316125i
\(772\) −3145.09 1059.71i −0.146625 0.0494037i
\(773\) −5614.42 14091.1i −0.261238 0.655657i 0.738591