Properties

Label 177.4.f.a.2.16
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 2.16
Character \(\chi\) \(=\) 177.2
Dual form 177.4.f.a.89.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.176293 + 3.25153i) q^{2} +(-5.15278 - 0.670007i) q^{3} +(-2.58825 - 0.281489i) q^{4} +(-0.0532670 + 0.158091i) q^{5} +(3.08694 - 16.6363i) q^{6} +(11.3529 + 16.7443i) q^{7} +(-2.84293 + 17.3411i) q^{8} +(26.1022 + 6.90479i) q^{9} +O(q^{10})\) \(q+(-0.176293 + 3.25153i) q^{2} +(-5.15278 - 0.670007i) q^{3} +(-2.58825 - 0.281489i) q^{4} +(-0.0532670 + 0.158091i) q^{5} +(3.08694 - 16.6363i) q^{6} +(11.3529 + 16.7443i) q^{7} +(-2.84293 + 17.3411i) q^{8} +(26.1022 + 6.90479i) q^{9} +(-0.504646 - 0.201069i) q^{10} +(54.2570 - 11.9429i) q^{11} +(13.1481 + 3.18460i) q^{12} +(-57.7437 + 49.0480i) q^{13} +(-56.4459 + 33.9623i) q^{14} +(0.380395 - 0.778917i) q^{15} +(-76.2251 - 16.7784i) q^{16} +(-95.7613 - 64.9278i) q^{17} +(-27.0527 + 83.6547i) q^{18} +(-15.9943 + 30.1684i) q^{19} +(0.182369 - 0.394184i) q^{20} +(-47.2801 - 93.8859i) q^{21} +(29.2675 + 178.524i) q^{22} +(6.30792 - 5.97518i) q^{23} +(26.2676 - 87.4500i) q^{24} +(99.4895 + 75.6299i) q^{25} +(-149.301 - 196.402i) q^{26} +(-129.872 - 53.0675i) q^{27} +(-24.6708 - 46.5341i) q^{28} +(34.7310 - 1.88306i) q^{29} +(2.46561 + 1.37418i) q^{30} +(-209.518 + 111.079i) q^{31} +(30.3840 - 109.433i) q^{32} +(-287.576 + 25.1864i) q^{33} +(227.997 - 299.924i) q^{34} +(-3.25185 + 0.902871i) q^{35} +(-65.6154 - 25.2188i) q^{36} +(-206.277 + 33.8173i) q^{37} +(-95.2738 - 57.3243i) q^{38} +(330.403 - 214.045i) q^{39} +(-2.59003 - 1.37315i) q^{40} +(68.2338 - 72.0336i) q^{41} +(313.608 - 137.181i) q^{42} +(-50.5051 + 229.447i) q^{43} +(-143.793 + 15.6384i) q^{44} +(-2.48197 + 3.75872i) q^{45} +(18.3164 + 21.5637i) q^{46} +(-26.0856 + 8.78926i) q^{47} +(381.529 + 137.527i) q^{48} +(-24.5247 + 61.5524i) q^{49} +(-263.452 + 310.160i) q^{50} +(449.934 + 398.719i) q^{51} +(163.262 - 110.694i) q^{52} +(-343.115 + 136.710i) q^{53} +(195.446 - 412.928i) q^{54} +(-1.00205 + 9.21370i) q^{55} +(-322.639 + 149.269i) q^{56} +(102.628 - 144.735i) q^{57} +113.261i q^{58} +(145.401 - 429.229i) q^{59} +(-1.20381 + 1.90896i) q^{60} +(808.661 + 43.8443i) q^{61} +(-324.241 - 700.836i) q^{62} +(180.720 + 515.451i) q^{63} +(-241.244 - 81.2846i) q^{64} +(-4.67820 - 11.7414i) q^{65} +(-31.1966 - 939.502i) q^{66} +(-407.542 - 66.8131i) q^{67} +(229.578 + 195.005i) q^{68} +(-36.5067 + 26.5624i) q^{69} +(-2.36243 - 10.7326i) q^{70} +(347.601 + 1031.64i) q^{71} +(-193.943 + 433.011i) q^{72} +(313.534 + 521.097i) q^{73} +(-73.5930 - 676.676i) q^{74} +(-461.974 - 456.363i) q^{75} +(49.8893 - 73.5812i) q^{76} +(815.949 + 772.908i) q^{77} +(637.724 + 1112.05i) q^{78} +(-456.622 - 211.256i) q^{79} +(6.71279 - 11.1567i) q^{80} +(633.648 + 360.460i) q^{81} +(222.190 + 234.563i) q^{82} +(35.7985 + 128.935i) q^{83} +(95.9450 + 256.309i) q^{84} +(15.3654 - 11.6805i) q^{85} +(-737.149 - 204.669i) q^{86} +(-180.223 - 13.5670i) q^{87} +(52.8537 + 974.830i) q^{88} +(78.3603 + 1445.27i) q^{89} +(-11.7840 - 8.73282i) q^{90} +(-1476.83 - 410.040i) q^{91} +(-18.0084 + 13.6896i) q^{92} +(1154.02 - 431.989i) q^{93} +(-23.9798 - 86.3676i) q^{94} +(-3.91738 - 4.13553i) q^{95} +(-229.883 + 543.528i) q^{96} +(741.862 - 1232.98i) q^{97} +(-195.816 - 90.5941i) q^{98} +(1498.69 + 62.8981i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.176293 + 3.25153i −0.0623289 + 1.14959i 0.785341 + 0.619064i \(0.212488\pi\)
−0.847669 + 0.530525i \(0.821995\pi\)
\(3\) −5.15278 0.670007i −0.991652 0.128943i
\(4\) −2.58825 0.281489i −0.323531 0.0351862i
\(5\) −0.0532670 + 0.158091i −0.00476434 + 0.0141401i −0.950009 0.312223i \(-0.898927\pi\)
0.945245 + 0.326363i \(0.105823\pi\)
\(6\) 3.08694 16.6363i 0.210040 1.13196i
\(7\) 11.3529 + 16.7443i 0.612998 + 0.904105i 0.999837 0.0180424i \(-0.00574337\pi\)
−0.386839 + 0.922147i \(0.626433\pi\)
\(8\) −2.84293 + 17.3411i −0.125641 + 0.766376i
\(9\) 26.1022 + 6.90479i 0.966747 + 0.255733i
\(10\) −0.504646 0.201069i −0.0159583 0.00635837i
\(11\) 54.2570 11.9429i 1.48719 0.327356i 0.604234 0.796807i \(-0.293479\pi\)
0.882958 + 0.469452i \(0.155548\pi\)
\(12\) 13.1481 + 3.18460i 0.316294 + 0.0766095i
\(13\) −57.7437 + 49.0480i −1.23194 + 1.04642i −0.234709 + 0.972066i \(0.575414\pi\)
−0.997232 + 0.0743546i \(0.976310\pi\)
\(14\) −56.4459 + 33.9623i −1.07756 + 0.648344i
\(15\) 0.380395 0.778917i 0.00654783 0.0134077i
\(16\) −76.2251 16.7784i −1.19102 0.262163i
\(17\) −95.7613 64.9278i −1.36621 0.926312i −0.366216 0.930530i \(-0.619347\pi\)
−0.999991 + 0.00421794i \(0.998657\pi\)
\(18\) −27.0527 + 83.6547i −0.354244 + 1.09542i
\(19\) −15.9943 + 30.1684i −0.193123 + 0.364269i −0.961096 0.276213i \(-0.910920\pi\)
0.767973 + 0.640482i \(0.221265\pi\)
\(20\) 0.182369 0.394184i 0.00203895 0.00440712i
\(21\) −47.2801 93.8859i −0.491303 0.975599i
\(22\) 29.2675 + 178.524i 0.283629 + 1.73006i
\(23\) 6.30792 5.97518i 0.0571866 0.0541700i −0.658573 0.752517i \(-0.728839\pi\)
0.715759 + 0.698347i \(0.246081\pi\)
\(24\) 26.2676 87.4500i 0.223411 0.743778i
\(25\) 99.4895 + 75.6299i 0.795916 + 0.605039i
\(26\) −149.301 196.402i −1.12617 1.48145i
\(27\) −129.872 53.0675i −0.925702 0.378253i
\(28\) −24.6708 46.5341i −0.166512 0.314075i
\(29\) 34.7310 1.88306i 0.222392 0.0120578i 0.0573940 0.998352i \(-0.481721\pi\)
0.164998 + 0.986294i \(0.447238\pi\)
\(30\) 2.46561 + 1.37418i 0.0150052 + 0.00836300i
\(31\) −209.518 + 111.079i −1.21389 + 0.643563i −0.947331 0.320256i \(-0.896231\pi\)
−0.266558 + 0.963819i \(0.585886\pi\)
\(32\) 30.3840 109.433i 0.167850 0.604540i
\(33\) −287.576 + 25.1864i −1.51699 + 0.132860i
\(34\) 227.997 299.924i 1.15003 1.51284i
\(35\) −3.25185 + 0.902871i −0.0157046 + 0.00436037i
\(36\) −65.6154 25.2188i −0.303775 0.116754i
\(37\) −206.277 + 33.8173i −0.916532 + 0.150258i −0.601546 0.798838i \(-0.705448\pi\)
−0.314986 + 0.949096i \(0.602000\pi\)
\(38\) −95.2738 57.3243i −0.406722 0.244717i
\(39\) 330.403 214.045i 1.35659 0.878835i
\(40\) −2.59003 1.37315i −0.0102380 0.00542785i
\(41\) 68.2338 72.0336i 0.259911 0.274384i −0.582960 0.812501i \(-0.698105\pi\)
0.842870 + 0.538117i \(0.180864\pi\)
\(42\) 313.608 137.181i 1.15216 0.503989i
\(43\) −50.5051 + 229.447i −0.179115 + 0.813728i 0.798276 + 0.602291i \(0.205745\pi\)
−0.977392 + 0.211437i \(0.932186\pi\)
\(44\) −143.793 + 15.6384i −0.492672 + 0.0535813i
\(45\) −2.48197 + 3.75872i −0.00822200 + 0.0124515i
\(46\) 18.3164 + 21.5637i 0.0587089 + 0.0691174i
\(47\) −26.0856 + 8.78926i −0.0809569 + 0.0272776i −0.359489 0.933149i \(-0.617049\pi\)
0.278532 + 0.960427i \(0.410152\pi\)
\(48\) 381.529 + 137.527i 1.14727 + 0.413547i
\(49\) −24.5247 + 61.5524i −0.0715006 + 0.179453i
\(50\) −263.452 + 310.160i −0.745155 + 0.877264i
\(51\) 449.934 + 398.719i 1.23536 + 1.09474i
\(52\) 163.262 110.694i 0.435391 0.295203i
\(53\) −343.115 + 136.710i −0.889255 + 0.354312i −0.769617 0.638506i \(-0.779553\pi\)
−0.119638 + 0.992818i \(0.538173\pi\)
\(54\) 195.446 412.928i 0.492534 1.04060i
\(55\) −1.00205 + 9.21370i −0.00245666 + 0.0225886i
\(56\) −322.639 + 149.269i −0.769902 + 0.356195i
\(57\) 102.628 144.735i 0.238481 0.336326i
\(58\) 113.261i 0.256411i
\(59\) 145.401 429.229i 0.320840 0.947133i
\(60\) −1.20381 + 1.90896i −0.00259019 + 0.00410742i
\(61\) 808.661 + 43.8443i 1.69735 + 0.0920277i 0.877202 0.480121i \(-0.159407\pi\)
0.820150 + 0.572149i \(0.193890\pi\)
\(62\) −324.241 700.836i −0.664172 1.43559i
\(63\) 180.720 + 515.451i 0.361405 + 1.03081i
\(64\) −241.244 81.2846i −0.471180 0.158759i
\(65\) −4.67820 11.7414i −0.00892706 0.0224052i
\(66\) −31.1966 939.502i −0.0581824 1.75219i
\(67\) −407.542 66.8131i −0.743121 0.121829i −0.221684 0.975118i \(-0.571156\pi\)
−0.521437 + 0.853290i \(0.674604\pi\)
\(68\) 229.578 + 195.005i 0.409418 + 0.347763i
\(69\) −36.5067 + 26.5624i −0.0636940 + 0.0463440i
\(70\) −2.36243 10.7326i −0.00403378 0.0183257i
\(71\) 347.601 + 1031.64i 0.581024 + 1.72442i 0.683758 + 0.729709i \(0.260344\pi\)
−0.102734 + 0.994709i \(0.532759\pi\)
\(72\) −193.943 + 433.011i −0.317451 + 0.708761i
\(73\) 313.534 + 521.097i 0.502690 + 0.835477i 0.999475 0.0323963i \(-0.0103139\pi\)
−0.496785 + 0.867874i \(0.665486\pi\)
\(74\) −73.5930 676.676i −0.115608 1.06300i
\(75\) −461.974 456.363i −0.711256 0.702616i
\(76\) 49.8893 73.5812i 0.0752986 0.111057i
\(77\) 815.949 + 772.908i 1.20761 + 1.14391i
\(78\) 637.724 + 1112.05i 0.925744 + 1.61429i
\(79\) −456.622 211.256i −0.650304 0.300863i 0.0668650 0.997762i \(-0.478700\pi\)
−0.717169 + 0.696899i \(0.754562\pi\)
\(80\) 6.71279 11.1567i 0.00938141 0.0155920i
\(81\) 633.648 + 360.460i 0.869201 + 0.494458i
\(82\) 222.190 + 234.563i 0.299229 + 0.315892i
\(83\) 35.7985 + 128.935i 0.0473421 + 0.170511i 0.983442 0.181224i \(-0.0580058\pi\)
−0.936100 + 0.351735i \(0.885592\pi\)
\(84\) 95.9450 + 256.309i 0.124624 + 0.332924i
\(85\) 15.3654 11.6805i 0.0196072 0.0149050i
\(86\) −737.149 204.669i −0.924289 0.256628i
\(87\) −180.223 13.5670i −0.222091 0.0167188i
\(88\) 52.8537 + 974.830i 0.0640253 + 1.18088i
\(89\) 78.3603 + 1445.27i 0.0933278 + 1.72133i 0.552949 + 0.833215i \(0.313502\pi\)
−0.459621 + 0.888115i \(0.652015\pi\)
\(90\) −11.7840 8.73282i −0.0138016 0.0102280i
\(91\) −1476.83 410.040i −1.70125 0.472350i
\(92\) −18.0084 + 13.6896i −0.0204077 + 0.0155135i
\(93\) 1154.02 431.989i 1.28674 0.481668i
\(94\) −23.9798 86.3676i −0.0263120 0.0947674i
\(95\) −3.91738 4.13553i −0.00423068 0.00446628i
\(96\) −229.883 + 543.528i −0.244400 + 0.577850i
\(97\) 741.862 1232.98i 0.776543 1.29062i −0.175445 0.984489i \(-0.556136\pi\)
0.951988 0.306135i \(-0.0990359\pi\)
\(98\) −195.816 90.5941i −0.201841 0.0933814i
\(99\) 1498.69 + 62.8981i 1.52145 + 0.0638535i
\(100\) −236.215 223.755i −0.236215 0.223755i
\(101\) 197.546 291.359i 0.194619 0.287042i −0.717841 0.696207i \(-0.754870\pi\)
0.912460 + 0.409165i \(0.134180\pi\)
\(102\) −1375.77 + 1392.68i −1.33550 + 1.35192i
\(103\) −154.091 1416.84i −0.147408 1.35539i −0.801054 0.598592i \(-0.795727\pi\)
0.653646 0.756800i \(-0.273238\pi\)
\(104\) −686.385 1140.78i −0.647169 1.07560i
\(105\) 17.3610 2.47353i 0.0161358 0.00229897i
\(106\) −384.027 1139.75i −0.351886 1.04436i
\(107\) −155.666 707.199i −0.140643 0.638949i −0.993210 0.116331i \(-0.962887\pi\)
0.852567 0.522618i \(-0.175044\pi\)
\(108\) 321.205 + 173.910i 0.286184 + 0.154949i
\(109\) 1446.77 + 1228.90i 1.27134 + 1.07988i 0.992840 + 0.119448i \(0.0381124\pi\)
0.278498 + 0.960437i \(0.410163\pi\)
\(110\) −29.7819 4.88250i −0.0258145 0.00423207i
\(111\) 1085.56 36.0464i 0.928255 0.0308232i
\(112\) −584.433 1466.82i −0.493069 1.23751i
\(113\) 577.567 + 194.605i 0.480822 + 0.162008i 0.549267 0.835647i \(-0.314907\pi\)
−0.0684446 + 0.997655i \(0.521804\pi\)
\(114\) 452.517 + 359.213i 0.371772 + 0.295118i
\(115\) 0.608616 + 1.31550i 0.000493511 + 0.00106671i
\(116\) −90.4225 4.90257i −0.0723752 0.00392407i
\(117\) −1845.90 + 881.551i −1.45858 + 0.696576i
\(118\) 1370.02 + 548.444i 1.06882 + 0.427868i
\(119\) 2340.57i 1.80302i
\(120\) 12.4258 + 8.81087i 0.00945266 + 0.00670266i
\(121\) 1593.21 737.097i 1.19700 0.553792i
\(122\) −285.122 + 2621.66i −0.211588 + 1.94552i
\(123\) −399.857 + 325.456i −0.293121 + 0.238580i
\(124\) 573.553 228.524i 0.415376 0.165501i
\(125\) −34.5156 + 23.4022i −0.0246974 + 0.0167452i
\(126\) −1707.86 + 496.745i −1.20753 + 0.351219i
\(127\) 309.756 364.673i 0.216428 0.254799i −0.643225 0.765677i \(-0.722404\pi\)
0.859653 + 0.510878i \(0.170680\pi\)
\(128\) 643.131 1614.14i 0.444104 1.11462i
\(129\) 413.972 1148.45i 0.282544 0.783840i
\(130\) 39.0022 13.1414i 0.0263132 0.00886596i
\(131\) −1590.00 1871.89i −1.06045 1.24846i −0.967523 0.252784i \(-0.918654\pi\)
−0.0929258 0.995673i \(-0.529622\pi\)
\(132\) 751.409 + 15.7609i 0.495468 + 0.0103925i
\(133\) −686.729 + 74.6863i −0.447721 + 0.0486926i
\(134\) 289.091 1313.35i 0.186371 0.846690i
\(135\) 15.3074 17.7049i 0.00975889 0.0112874i
\(136\) 1398.16 1476.02i 0.881555 0.930646i
\(137\) 415.413 + 220.238i 0.259059 + 0.137345i 0.592877 0.805293i \(-0.297992\pi\)
−0.333818 + 0.942638i \(0.608337\pi\)
\(138\) −79.9325 123.385i −0.0493066 0.0761105i
\(139\) 710.744 + 427.640i 0.433701 + 0.260949i 0.715621 0.698488i \(-0.246144\pi\)
−0.281920 + 0.959438i \(0.590971\pi\)
\(140\) 8.67074 1.42150i 0.00523437 0.000858131i
\(141\) 140.302 27.8116i 0.0837984 0.0166110i
\(142\) −3415.70 + 948.364i −2.01859 + 0.560457i
\(143\) −2547.23 + 3350.82i −1.48958 + 1.95951i
\(144\) −1873.79 964.271i −1.08437 0.558027i
\(145\) −1.55232 + 5.59095i −0.000889056 + 0.00320209i
\(146\) −1749.64 + 927.599i −0.991787 + 0.525812i
\(147\) 167.611 300.734i 0.0940429 0.168736i
\(148\) 543.415 29.4631i 0.301814 0.0163639i
\(149\) 519.015 + 978.967i 0.285365 + 0.538256i 0.984207 0.177020i \(-0.0566458\pi\)
−0.698842 + 0.715276i \(0.746301\pi\)
\(150\) 1565.32 1421.67i 0.852052 0.773859i
\(151\) 1036.45 + 1363.43i 0.558578 + 0.734797i 0.985534 0.169475i \(-0.0542073\pi\)
−0.426956 + 0.904272i \(0.640414\pi\)
\(152\) −477.683 363.125i −0.254903 0.193772i
\(153\) −2051.27 2355.97i −1.08389 1.24489i
\(154\) −2656.98 + 2516.82i −1.39029 + 1.31696i
\(155\) −6.40024 39.0397i −0.00331664 0.0202306i
\(156\) −915.417 + 460.996i −0.469821 + 0.236598i
\(157\) −1354.23 + 2927.12i −0.688402 + 1.48796i 0.175596 + 0.984462i \(0.443815\pi\)
−0.863998 + 0.503495i \(0.832047\pi\)
\(158\) 767.404 1447.48i 0.386401 0.728830i
\(159\) 1859.59 474.544i 0.927518 0.236691i
\(160\) 15.6819 + 10.6326i 0.00774854 + 0.00525364i
\(161\) 171.663 + 37.7859i 0.0840307 + 0.0184965i
\(162\) −1283.75 + 1996.78i −0.622600 + 0.968405i
\(163\) 2178.23 1310.60i 1.04670 0.629778i 0.115133 0.993350i \(-0.463270\pi\)
0.931566 + 0.363572i \(0.118443\pi\)
\(164\) −196.883 + 167.234i −0.0937438 + 0.0796267i
\(165\) 11.3366 46.8047i 0.00534879 0.0220833i
\(166\) −425.545 + 93.6696i −0.198968 + 0.0437962i
\(167\) 574.787 + 229.016i 0.266338 + 0.106119i 0.499484 0.866323i \(-0.333523\pi\)
−0.233147 + 0.972442i \(0.574902\pi\)
\(168\) 1762.50 552.979i 0.809404 0.253948i
\(169\) 573.201 3496.37i 0.260902 1.59143i
\(170\) 35.2706 + 52.0202i 0.0159125 + 0.0234692i
\(171\) −625.792 + 677.024i −0.279857 + 0.302768i
\(172\) 195.307 579.650i 0.0865814 0.256964i
\(173\) 2035.17 + 221.338i 0.894399 + 0.0972718i 0.543762 0.839240i \(-0.316999\pi\)
0.350637 + 0.936511i \(0.385965\pi\)
\(174\) 75.8854 583.607i 0.0330624 0.254271i
\(175\) −136.874 + 2524.50i −0.0591241 + 1.09048i
\(176\) −4336.13 −1.85709
\(177\) −1036.80 + 2114.30i −0.440288 + 0.897857i
\(178\) −4713.15 −1.98464
\(179\) 76.8410 1417.25i 0.0320858 0.591788i −0.937642 0.347601i \(-0.886996\pi\)
0.969728 0.244187i \(-0.0785210\pi\)
\(180\) 7.48199 9.02986i 0.00309819 0.00373914i
\(181\) −981.357 106.729i −0.403004 0.0438293i −0.0956271 0.995417i \(-0.530486\pi\)
−0.307377 + 0.951588i \(0.599451\pi\)
\(182\) 1593.61 4729.67i 0.649046 1.92630i
\(183\) −4137.47 767.728i −1.67132 0.310121i
\(184\) 85.6832 + 126.373i 0.0343296 + 0.0506324i
\(185\) 5.64153 34.4118i 0.00224202 0.0136757i
\(186\) 1201.18 + 3828.50i 0.473520 + 1.50924i
\(187\) −5971.15 2379.12i −2.33505 0.930367i
\(188\) 69.9902 15.4060i 0.0271519 0.00597659i
\(189\) −585.852 2777.09i −0.225473 1.06880i
\(190\) 14.1374 12.0084i 0.00539807 0.00458517i
\(191\) −146.427 + 88.1020i −0.0554715 + 0.0333761i −0.543019 0.839720i \(-0.682719\pi\)
0.487548 + 0.873096i \(0.337891\pi\)
\(192\) 1188.62 + 580.476i 0.446776 + 0.218189i
\(193\) 2901.83 + 638.741i 1.08227 + 0.238226i 0.720089 0.693881i \(-0.244101\pi\)
0.362182 + 0.932107i \(0.382032\pi\)
\(194\) 3878.30 + 2629.55i 1.43529 + 0.973148i
\(195\) 16.2389 + 63.6352i 0.00596354 + 0.0233693i
\(196\) 80.8025 152.410i 0.0294470 0.0555429i
\(197\) 88.9828 192.333i 0.0321816 0.0695593i −0.890818 0.454360i \(-0.849868\pi\)
0.923000 + 0.384801i \(0.125730\pi\)
\(198\) −468.723 + 4861.94i −0.168236 + 1.74507i
\(199\) 801.969 + 4891.79i 0.285679 + 1.74256i 0.606191 + 0.795319i \(0.292697\pi\)
−0.320513 + 0.947244i \(0.603855\pi\)
\(200\) −1594.35 + 1510.25i −0.563687 + 0.533953i
\(201\) 2055.20 + 617.328i 0.721209 + 0.216632i
\(202\) 912.535 + 693.691i 0.317850 + 0.241623i
\(203\) 425.827 + 560.166i 0.147228 + 0.193675i
\(204\) −1052.31 1158.64i −0.361158 0.397651i
\(205\) 7.75323 + 14.6242i 0.00264151 + 0.00498241i
\(206\) 4634.06 251.251i 1.56733 0.0849782i
\(207\) 205.908 112.410i 0.0691380 0.0377442i
\(208\) 5224.47 2769.84i 1.74159 0.923335i
\(209\) −507.505 + 1827.87i −0.167966 + 0.604958i
\(210\) 4.98214 + 56.8857i 0.00163715 + 0.0186928i
\(211\) −2495.07 + 3282.21i −0.814066 + 1.07089i 0.182089 + 0.983282i \(0.441714\pi\)
−0.996155 + 0.0876038i \(0.972079\pi\)
\(212\) 926.551 257.256i 0.300169 0.0833415i
\(213\) −1099.90 5548.73i −0.353822 1.78494i
\(214\) 2326.92 381.479i 0.743295 0.121857i
\(215\) −33.5832 20.2063i −0.0106528 0.00640958i
\(216\) 1289.47 2101.26i 0.406190 0.661912i
\(217\) −4238.58 2247.15i −1.32596 0.702980i
\(218\) −4250.86 + 4487.58i −1.32066 + 1.39421i
\(219\) −1266.43 2895.17i −0.390765 0.893321i
\(220\) 5.18711 23.5653i 0.00158961 0.00722169i
\(221\) 8714.19 947.726i 2.65240 0.288466i
\(222\) −74.1695 + 3536.07i −0.0224231 + 1.06903i
\(223\) 2627.82 + 3093.70i 0.789110 + 0.929012i 0.998811 0.0487533i \(-0.0155248\pi\)
−0.209701 + 0.977766i \(0.567249\pi\)
\(224\) 2177.33 733.627i 0.649459 0.218828i
\(225\) 2074.68 + 2661.06i 0.614721 + 0.788462i
\(226\) −734.584 + 1843.67i −0.216211 + 0.542650i
\(227\) −1683.37 + 1981.81i −0.492199 + 0.579461i −0.951044 0.309055i \(-0.899987\pi\)
0.458846 + 0.888516i \(0.348263\pi\)
\(228\) −306.368 + 345.721i −0.0889901 + 0.100421i
\(229\) 126.092 85.4927i 0.0363861 0.0246704i −0.542858 0.839824i \(-0.682658\pi\)
0.579245 + 0.815154i \(0.303348\pi\)
\(230\) −4.38469 + 1.74702i −0.00125703 + 0.000500848i
\(231\) −3686.55 4529.31i −1.05003 1.29007i
\(232\) −66.0834 + 607.627i −0.0187008 + 0.171951i
\(233\) 1032.93 477.885i 0.290428 0.134366i −0.269266 0.963066i \(-0.586781\pi\)
0.559693 + 0.828700i \(0.310919\pi\)
\(234\) −2540.97 6157.42i −0.709865 1.72018i
\(235\) 4.59207i 0.00127470i
\(236\) −497.157 + 1070.02i −0.137128 + 0.295138i
\(237\) 2211.33 + 1394.49i 0.606081 + 0.382203i
\(238\) 7610.43 + 412.625i 2.07273 + 0.112380i
\(239\) −720.620 1557.60i −0.195034 0.421558i 0.785243 0.619188i \(-0.212538\pi\)
−0.980277 + 0.197629i \(0.936676\pi\)
\(240\) −42.0646 + 52.9906i −0.0113136 + 0.0142522i
\(241\) 883.552 + 297.703i 0.236160 + 0.0795716i 0.434893 0.900482i \(-0.356786\pi\)
−0.198733 + 0.980054i \(0.563683\pi\)
\(242\) 2115.82 + 5310.31i 0.562026 + 1.41058i
\(243\) −3023.53 2281.92i −0.798188 0.602408i
\(244\) −2080.68 341.110i −0.545909 0.0894972i
\(245\) −8.42451 7.15584i −0.00219682 0.00186600i
\(246\) −987.737 1357.52i −0.255999 0.351839i
\(247\) −556.130 2526.52i −0.143262 0.650846i
\(248\) −1330.60 3949.07i −0.340697 1.01115i
\(249\) −98.0746 688.356i −0.0249608 0.175192i
\(250\) −70.0080 116.354i −0.0177108 0.0294355i
\(251\) −123.141 1132.26i −0.0309664 0.284731i −0.999375 0.0353610i \(-0.988742\pi\)
0.968408 0.249370i \(-0.0802236\pi\)
\(252\) −322.654 1384.99i −0.0806559 0.346214i
\(253\) 270.888 399.530i 0.0673146 0.0992816i
\(254\) 1131.14 + 1071.47i 0.279424 + 0.264685i
\(255\) −87.0004 + 49.8919i −0.0213654 + 0.0122524i
\(256\) 3286.70 + 1520.59i 0.802417 + 0.371237i
\(257\) 2893.90 4809.70i 0.702398 1.16740i −0.276098 0.961130i \(-0.589041\pi\)
0.978496 0.206266i \(-0.0661311\pi\)
\(258\) 3661.24 + 1548.51i 0.883483 + 0.373666i
\(259\) −2908.08 3070.03i −0.697681 0.736533i
\(260\) 8.80327 + 31.7065i 0.00209983 + 0.00756291i
\(261\) 919.556 + 190.658i 0.218081 + 0.0452162i
\(262\) 6366.81 4839.92i 1.50131 1.14126i
\(263\) 4114.04 + 1142.26i 0.964571 + 0.267812i 0.713890 0.700258i \(-0.246932\pi\)
0.250681 + 0.968070i \(0.419345\pi\)
\(264\) 380.799 5058.49i 0.0887748 1.17927i
\(265\) −3.33581 61.5255i −0.000773273 0.0142622i
\(266\) −121.779 2246.09i −0.0280705 0.517731i
\(267\) 564.568 7499.66i 0.129404 1.71899i
\(268\) 1036.01 + 287.648i 0.236136 + 0.0655630i
\(269\) −6235.47 + 4740.08i −1.41332 + 1.07438i −0.427979 + 0.903789i \(0.640774\pi\)
−0.985342 + 0.170590i \(0.945433\pi\)
\(270\) 54.8693 + 52.8936i 0.0123676 + 0.0119222i
\(271\) −431.899 1555.56i −0.0968117 0.348684i 0.899240 0.437455i \(-0.144120\pi\)
−0.996052 + 0.0887706i \(0.971706\pi\)
\(272\) 6210.03 + 6555.85i 1.38433 + 1.46142i
\(273\) 7335.05 + 3102.33i 1.62614 + 0.687771i
\(274\) −789.344 + 1311.90i −0.174037 + 0.289251i
\(275\) 6301.24 + 2915.27i 1.38174 + 0.639262i
\(276\) 101.965 58.4739i 0.0222377 0.0127526i
\(277\) −1129.35 1069.78i −0.244967 0.232045i 0.555358 0.831611i \(-0.312581\pi\)
−0.800325 + 0.599566i \(0.795340\pi\)
\(278\) −1515.78 + 2235.61i −0.327017 + 0.482314i
\(279\) −6235.86 + 1452.74i −1.33810 + 0.311732i
\(280\) −6.41201 58.9574i −0.00136854 0.0125835i
\(281\) 13.8308 + 22.9870i 0.00293622 + 0.00488004i 0.858322 0.513112i \(-0.171507\pi\)
−0.855386 + 0.517992i \(0.826680\pi\)
\(282\) 65.6958 + 461.099i 0.0138728 + 0.0973690i
\(283\) 1882.30 + 5586.47i 0.395375 + 1.17343i 0.941872 + 0.335971i \(0.109064\pi\)
−0.546497 + 0.837461i \(0.684039\pi\)
\(284\) −609.283 2768.00i −0.127304 0.578347i
\(285\) 17.4145 + 23.9341i 0.00361947 + 0.00497451i
\(286\) −10446.2 8873.12i −2.15979 1.83454i
\(287\) 1980.80 + 324.736i 0.407397 + 0.0667894i
\(288\) 1548.70 2646.65i 0.316869 0.541513i
\(289\) 3136.12 + 7871.08i 0.638332 + 1.60209i
\(290\) −17.9055 6.03305i −0.00362567 0.00122163i
\(291\) −4648.75 + 5856.24i −0.936477 + 1.17972i
\(292\) −664.821 1436.99i −0.133239 0.287991i
\(293\) −1399.23 75.8643i −0.278990 0.0151264i −0.0858871 0.996305i \(-0.527372\pi\)
−0.193103 + 0.981178i \(0.561855\pi\)
\(294\) 948.296 + 598.009i 0.188115 + 0.118628i
\(295\) 60.1121 + 45.8502i 0.0118639 + 0.00904917i
\(296\) 3673.21i 0.721286i
\(297\) −7680.27 1328.23i −1.50052 0.259501i
\(298\) −3274.64 + 1515.01i −0.636559 + 0.294504i
\(299\) −71.1724 + 654.420i −0.0137659 + 0.126575i
\(300\) 1067.24 + 1311.22i 0.205391 + 0.252345i
\(301\) −4415.30 + 1759.22i −0.845493 + 0.336875i
\(302\) −4615.95 + 3129.69i −0.879530 + 0.596336i
\(303\) −1213.12 + 1368.95i −0.230007 + 0.259551i
\(304\) 1725.34 2031.23i 0.325511 0.383221i
\(305\) −50.0063 + 125.506i −0.00938805 + 0.0235622i
\(306\) 8022.12 6254.41i 1.49867 1.16843i
\(307\) −7774.47 + 2619.52i −1.44532 + 0.486984i −0.929214 0.369542i \(-0.879514\pi\)
−0.516103 + 0.856526i \(0.672618\pi\)
\(308\) −1894.31 2230.16i −0.350450 0.412582i
\(309\) −155.298 + 7403.90i −0.0285909 + 1.36308i
\(310\) 128.067 13.9281i 0.0234636 0.00255182i
\(311\) 918.098 4170.96i 0.167397 0.760494i −0.815857 0.578254i \(-0.803734\pi\)
0.983254 0.182240i \(-0.0583347\pi\)
\(312\) 2772.46 + 6338.07i 0.503075 + 1.15007i
\(313\) 4845.07 5114.88i 0.874950 0.923674i −0.122682 0.992446i \(-0.539150\pi\)
0.997632 + 0.0687721i \(0.0219081\pi\)
\(314\) −9278.86 4919.34i −1.66763 0.884122i
\(315\) −91.1144 + 1.11359i −0.0162975 + 0.000199186i
\(316\) 1122.39 + 675.318i 0.199808 + 0.120220i
\(317\) 2279.31 373.673i 0.403844 0.0662069i 0.0435632 0.999051i \(-0.486129\pi\)
0.360281 + 0.932844i \(0.382681\pi\)
\(318\) 1215.16 + 6130.18i 0.214286 + 1.08102i
\(319\) 1861.91 516.957i 0.326793 0.0907336i
\(320\) 25.7007 33.8087i 0.00448972 0.00590613i
\(321\) 328.285 + 3748.34i 0.0570813 + 0.651750i
\(322\) −153.125 + 551.506i −0.0265010 + 0.0954478i
\(323\) 3490.40 1850.49i 0.601273 0.318775i
\(324\) −1538.57 1111.33i −0.263816 0.190557i
\(325\) −9454.39 + 512.602i −1.61365 + 0.0874894i
\(326\) 3877.44 + 7313.62i 0.658746 + 1.24253i
\(327\) −6631.53 7301.60i −1.12148 1.23480i
\(328\) 1055.16 + 1388.04i 0.177626 + 0.233663i
\(329\) −443.317 337.001i −0.0742883 0.0564725i
\(330\) 150.188 + 45.1125i 0.0250533 + 0.00752534i
\(331\) 2069.69 1960.51i 0.343687 0.325557i −0.496313 0.868143i \(-0.665313\pi\)
0.840000 + 0.542586i \(0.182555\pi\)
\(332\) −56.3618 343.792i −0.00931704 0.0568314i
\(333\) −5617.77 541.590i −0.924481 0.0891260i
\(334\) −845.983 + 1828.56i −0.138593 + 0.299564i
\(335\) 32.2710 60.8696i 0.00526315 0.00992735i
\(336\) 2028.67 + 7949.74i 0.329385 + 1.29076i
\(337\) 3837.31 + 2601.76i 0.620272 + 0.420555i 0.830438 0.557111i \(-0.188090\pi\)
−0.210166 + 0.977666i \(0.567400\pi\)
\(338\) 11267.5 + 2480.16i 1.81323 + 0.399122i
\(339\) −2845.68 1389.73i −0.455918 0.222654i
\(340\) −43.0574 + 25.9068i −0.00686799 + 0.00413233i
\(341\) −10041.2 + 8529.09i −1.59461 + 1.35447i
\(342\) −2091.04 2154.13i −0.330616 0.340591i
\(343\) 5467.63 1203.52i 0.860712 0.189457i
\(344\) −3835.28 1528.12i −0.601118 0.239507i
\(345\) −2.25467 7.18627i −0.000351847 0.00112144i
\(346\) −1078.47 + 6578.39i −0.167569 + 1.02213i
\(347\) 2262.15 + 3336.42i 0.349967 + 0.516163i 0.961408 0.275127i \(-0.0887200\pi\)
−0.611441 + 0.791290i \(0.709410\pi\)
\(348\) 462.642 + 85.8455i 0.0712650 + 0.0132236i
\(349\) 1694.12 5027.97i 0.259840 0.771178i −0.735740 0.677264i \(-0.763166\pi\)
0.995580 0.0939139i \(-0.0299378\pi\)
\(350\) −8184.34 890.100i −1.24992 0.135937i
\(351\) 10102.2 3305.67i 1.53622 0.502688i
\(352\) 341.598 6300.40i 0.0517251 0.954013i
\(353\) 7882.96 1.18858 0.594288 0.804252i \(-0.297434\pi\)
0.594288 + 0.804252i \(0.297434\pi\)
\(354\) −6691.93 3743.93i −1.00472 0.562112i
\(355\) −181.609 −0.0271516
\(356\) 204.012 3762.78i 0.0303725 0.560188i
\(357\) −1568.20 + 12060.4i −0.232487 + 1.78797i
\(358\) 4594.67 + 499.701i 0.678313 + 0.0737710i
\(359\) 1920.85 5700.88i 0.282392 0.838108i −0.708769 0.705441i \(-0.750749\pi\)
0.991161 0.132668i \(-0.0423543\pi\)
\(360\) −58.1242 53.7258i −0.00850949 0.00786555i
\(361\) 3194.87 + 4712.07i 0.465792 + 0.686992i
\(362\) 520.038 3172.09i 0.0755044 0.460557i
\(363\) −8703.31 + 2730.64i −1.25842 + 0.394824i
\(364\) 3706.99 + 1477.00i 0.533788 + 0.212681i
\(365\) −99.0817 + 21.8095i −0.0142087 + 0.00312757i
\(366\) 3225.70 13317.8i 0.460683 1.90200i
\(367\) −4304.78 + 3656.51i −0.612283 + 0.520078i −0.899006 0.437936i \(-0.855710\pi\)
0.286724 + 0.958013i \(0.407434\pi\)
\(368\) −581.075 + 349.621i −0.0823115 + 0.0495252i
\(369\) 2278.43 1409.09i 0.321437 0.198793i
\(370\) 110.896 + 24.4101i 0.0155817 + 0.00342979i
\(371\) −6184.45 4193.16i −0.865447 0.586787i
\(372\) −3108.50 + 793.250i −0.433248 + 0.110559i
\(373\) −699.401 + 1319.21i −0.0970874 + 0.183126i −0.927298 0.374323i \(-0.877875\pi\)
0.830211 + 0.557449i \(0.188220\pi\)
\(374\) 8788.46 18995.9i 1.21508 2.62635i
\(375\) 193.531 97.4605i 0.0266504 0.0134209i
\(376\) −78.2560 477.340i −0.0107334 0.0654706i
\(377\) −1913.14 + 1812.22i −0.261357 + 0.247570i
\(378\) 9133.06 1415.33i 1.24273 0.192584i
\(379\) −3347.88 2544.99i −0.453744 0.344928i 0.353207 0.935545i \(-0.385091\pi\)
−0.806952 + 0.590618i \(0.798884\pi\)
\(380\) 8.97506 + 11.8065i 0.00121161 + 0.00159384i
\(381\) −1840.43 + 1671.54i −0.247476 + 0.224765i
\(382\) −260.652 491.642i −0.0349113 0.0658497i
\(383\) −6427.24 + 348.475i −0.857484 + 0.0464914i −0.477636 0.878558i \(-0.658506\pi\)
−0.379848 + 0.925049i \(0.624024\pi\)
\(384\) −4395.39 + 7886.38i −0.584118 + 1.04805i
\(385\) −165.653 + 87.8235i −0.0219284 + 0.0116257i
\(386\) −2588.46 + 9322.78i −0.341319 + 1.22932i
\(387\) −2902.57 + 5640.34i −0.381256 + 0.740864i
\(388\) −2267.20 + 2982.45i −0.296648 + 0.390234i
\(389\) −4861.62 + 1349.82i −0.633660 + 0.175935i −0.569482 0.822004i \(-0.692856\pi\)
−0.0641778 + 0.997938i \(0.520442\pi\)
\(390\) −209.774 + 41.5828i −0.0272368 + 0.00539904i
\(391\) −992.009 + 162.632i −0.128307 + 0.0210349i
\(392\) −997.665 600.275i −0.128545 0.0773430i
\(393\) 6938.72 + 10710.7i 0.890616 + 1.37477i
\(394\) 609.690 + 323.237i 0.0779587 + 0.0413311i
\(395\) 57.7205 60.9348i 0.00735249 0.00776193i
\(396\) −3861.28 584.661i −0.489992 0.0741928i
\(397\) 1469.50 6676.00i 0.185773 0.843977i −0.787859 0.615855i \(-0.788811\pi\)
0.973633 0.228122i \(-0.0732585\pi\)
\(398\) −16047.2 + 1745.24i −2.02104 + 0.219801i
\(399\) 3588.60 + 75.2714i 0.450262 + 0.00944432i
\(400\) −6314.64 7434.17i −0.789330 0.929271i
\(401\) 5307.97 1788.46i 0.661016 0.222722i 0.0312554 0.999511i \(-0.490049\pi\)
0.629761 + 0.776789i \(0.283153\pi\)
\(402\) −2369.58 + 6573.73i −0.293990 + 0.815591i
\(403\) 6650.13 16690.6i 0.822002 2.06307i
\(404\) −593.313 + 698.502i −0.0730654 + 0.0860193i
\(405\) −90.7379 + 80.9732i −0.0111328 + 0.00993480i
\(406\) −1896.47 + 1285.84i −0.231823 + 0.157180i
\(407\) −10788.1 + 4298.37i −1.31387 + 0.523494i
\(408\) −8193.36 + 6668.83i −0.994196 + 0.809207i
\(409\) 367.895 3382.74i 0.0444774 0.408963i −0.950642 0.310288i \(-0.899574\pi\)
0.995120 0.0986741i \(-0.0314601\pi\)
\(410\) −48.9177 + 22.6317i −0.00589237 + 0.00272610i
\(411\) −1992.97 1413.17i −0.239187 0.169602i
\(412\) 3710.51i 0.443699i
\(413\) 8837.84 2438.36i 1.05298 0.290518i
\(414\) 329.205 + 689.332i 0.0390810 + 0.0818329i
\(415\) −22.2902 1.20854i −0.00263659 0.000142952i
\(416\) 3613.00 + 7809.37i 0.425822 + 0.920399i
\(417\) −3375.78 2679.74i −0.396433 0.314694i
\(418\) −5853.89 1972.40i −0.684983 0.230798i
\(419\) 1494.41 + 3750.69i 0.174241 + 0.437311i 0.989998 0.141084i \(-0.0450587\pi\)
−0.815757 + 0.578395i \(0.803679\pi\)
\(420\) −45.6308 + 1.51519i −0.00530132 + 0.000176033i
\(421\) −9907.45 1624.24i −1.14693 0.188030i −0.441806 0.897110i \(-0.645662\pi\)
−0.705128 + 0.709080i \(0.749110\pi\)
\(422\) −10232.3 8691.43i −1.18034 1.00259i
\(423\) −741.579 + 49.3034i −0.0852407 + 0.00566717i
\(424\) −1395.24 6338.66i −0.159809 0.726020i
\(425\) −4616.76 13702.1i −0.526931 1.56388i
\(426\) 18235.7 2598.17i 2.07400 0.295497i
\(427\) 8446.50 + 14038.2i 0.957271 + 1.59100i
\(428\) 203.835 + 1874.23i 0.0230204 + 0.211669i
\(429\) 15370.4 15559.4i 1.72981 1.75108i
\(430\) 71.6219 105.634i 0.00803236 0.0118468i
\(431\) −9097.14 8617.27i −1.01669 0.963061i −0.0173677 0.999849i \(-0.505529\pi\)
−0.999323 + 0.0367885i \(0.988287\pi\)
\(432\) 9009.15 + 6224.12i 1.00336 + 0.693190i
\(433\) 5207.52 + 2409.25i 0.577961 + 0.267393i 0.687016 0.726642i \(-0.258920\pi\)
−0.109054 + 0.994036i \(0.534782\pi\)
\(434\) 8053.91 13385.7i 0.890783 1.48049i
\(435\) 11.7447 27.7688i 0.00129452 0.00306072i
\(436\) −3398.69 3587.96i −0.373321 0.394110i
\(437\) 79.3710 + 285.868i 0.00868840 + 0.0312928i
\(438\) 9636.98 3607.44i 1.05131 0.393539i
\(439\) −443.393 + 337.058i −0.0482049 + 0.0366444i −0.628999 0.777406i \(-0.716535\pi\)
0.580794 + 0.814050i \(0.302742\pi\)
\(440\) −156.927 43.5705i −0.0170027 0.00472078i
\(441\) −1065.15 + 1437.31i −0.115015 + 0.155201i
\(442\) 1545.31 + 28501.5i 0.166296 + 3.06715i
\(443\) 79.9579 + 1474.74i 0.00857542 + 0.158164i 0.999685 + 0.0251133i \(0.00799467\pi\)
−0.991109 + 0.133051i \(0.957523\pi\)
\(444\) −2819.84 212.275i −0.301404 0.0226895i
\(445\) −232.658 64.5972i −0.0247844 0.00688135i
\(446\) −10522.5 + 7999.02i −1.11717 + 0.849248i
\(447\) −2018.46 5392.14i −0.213579 0.570558i
\(448\) −1377.77 4962.27i −0.145298 0.523315i
\(449\) −2607.03 2752.21i −0.274016 0.289275i 0.574434 0.818551i \(-0.305222\pi\)
−0.848450 + 0.529276i \(0.822464\pi\)
\(450\) −9018.26 + 6276.77i −0.944722 + 0.657533i
\(451\) 2841.88 4723.24i 0.296716 0.493145i
\(452\) −1440.11 666.265i −0.149861 0.0693329i
\(453\) −4427.10 7719.87i −0.459168 0.800687i
\(454\) −6147.16 5822.90i −0.635464 0.601943i
\(455\) 143.490 211.632i 0.0147844 0.0218054i
\(456\) 2218.10 + 2191.15i 0.227789 + 0.225022i
\(457\) −1312.45 12067.8i −0.134341 1.23524i −0.846178 0.532900i \(-0.821102\pi\)
0.711837 0.702344i \(-0.247863\pi\)
\(458\) 255.753 + 425.065i 0.0260929 + 0.0433667i
\(459\) 8991.20 + 13514.1i 0.914321 + 1.37426i
\(460\) −1.20495 3.57617i −0.000122133 0.000362478i
\(461\) −2213.72 10057.0i −0.223652 1.01606i −0.945908 0.324434i \(-0.894826\pi\)
0.722257 0.691625i \(-0.243105\pi\)
\(462\) 15377.1 11188.4i 1.54850 1.12669i
\(463\) 2212.31 + 1879.16i 0.222062 + 0.188621i 0.751511 0.659720i \(-0.229325\pi\)
−0.529449 + 0.848342i \(0.677601\pi\)
\(464\) −2678.96 439.194i −0.268034 0.0439420i
\(465\) 6.82211 + 205.451i 0.000680361 + 0.0204894i
\(466\) 1371.76 + 3442.86i 0.136364 + 0.342247i
\(467\) 1259.90 + 424.510i 0.124842 + 0.0420642i 0.381029 0.924563i \(-0.375570\pi\)
−0.256187 + 0.966627i \(0.582466\pi\)
\(468\) 5025.81 1762.07i 0.496406 0.174042i
\(469\) −3508.04 7582.50i −0.345386 0.746540i
\(470\) 14.9312 + 0.809548i 0.00146538 + 7.94504e-5i
\(471\) 8939.22 14175.4i 0.874517 1.38677i
\(472\) 7029.94 + 3741.68i 0.685550 + 0.364883i
\(473\) 13052.3i 1.26880i
\(474\) −4924.08 + 6944.36i −0.477153 + 0.672922i
\(475\) −3872.90 + 1791.79i −0.374107 + 0.173080i
\(476\) −658.845 + 6057.98i −0.0634414 + 0.583334i
\(477\) −9900.01 + 1199.28i −0.950294 + 0.115118i
\(478\) 5191.61 2068.52i 0.496775 0.197933i
\(479\) 7696.28 5218.20i 0.734137 0.497757i −0.135913 0.990721i \(-0.543397\pi\)
0.870050 + 0.492963i \(0.164086\pi\)
\(480\) −73.6816 65.2945i −0.00700644 0.00620890i
\(481\) 10252.5 12070.2i 0.971880 1.14419i
\(482\) −1123.75 + 2820.41i −0.106194 + 0.266527i
\(483\) −859.224 309.717i −0.0809442 0.0291773i
\(484\) −4331.11 + 1459.32i −0.406754 + 0.137051i
\(485\) 155.407 + 182.959i 0.0145498 + 0.0171293i
\(486\) 7952.75 9428.82i 0.742271 0.880041i
\(487\) 6389.65 694.916i 0.594544 0.0646605i 0.194100 0.980982i \(-0.437821\pi\)
0.400444 + 0.916321i \(0.368856\pi\)
\(488\) −3059.28 + 13898.4i −0.283785 + 1.28925i
\(489\) −12102.0 + 5293.78i −1.11917 + 0.489556i
\(490\) 24.7526 26.1310i 0.00228206 0.00240914i
\(491\) −14804.6 7848.90i −1.36074 0.721417i −0.381544 0.924351i \(-0.624608\pi\)
−0.979192 + 0.202934i \(0.934952\pi\)
\(492\) 1126.54 729.806i 0.103229 0.0668744i
\(493\) −3448.15 2074.68i −0.315003 0.189531i
\(494\) 8313.11 1362.86i 0.757134 0.124126i
\(495\) −89.7743 + 233.579i −0.00815162 + 0.0212092i
\(496\) 17834.3 4951.66i 1.61448 0.448258i
\(497\) −13327.8 + 17532.5i −1.20289 + 1.58237i
\(498\) 2255.50 197.540i 0.202954 0.0177751i
\(499\) 1258.54 4532.86i 0.112906 0.406651i −0.885400 0.464830i \(-0.846116\pi\)
0.998306 + 0.0581789i \(0.0185294\pi\)
\(500\) 95.9226 50.8549i 0.00857958 0.00454860i
\(501\) −2808.31 1565.18i −0.250431 0.139575i
\(502\) 3703.28 200.786i 0.329254 0.0178516i
\(503\) 10049.7 + 18955.7i 0.890843 + 1.68031i 0.718799 + 0.695218i \(0.244692\pi\)
0.172044 + 0.985089i \(0.444963\pi\)
\(504\) −9452.26 + 1668.49i −0.835391 + 0.147461i
\(505\) 35.5384 + 46.7500i 0.00313156 + 0.00411950i
\(506\) 1251.33 + 951.234i 0.109937 + 0.0835722i
\(507\) −5296.17 + 17632.0i −0.463927 + 1.54450i
\(508\) −904.377 + 856.672i −0.0789867 + 0.0748202i
\(509\) 71.4899 + 436.069i 0.00622541 + 0.0379733i 0.989757 0.142765i \(-0.0455994\pi\)
−0.983531 + 0.180739i \(0.942151\pi\)
\(510\) −146.887 291.680i −0.0127535 0.0253251i
\(511\) −5165.87 + 11165.9i −0.447211 + 0.966631i
\(512\) 987.378 1862.39i 0.0852273 0.160756i
\(513\) 3678.18 3069.27i 0.316560 0.264155i
\(514\) 15128.7 + 10257.5i 1.29824 + 0.880232i
\(515\) 232.197 + 51.1105i 0.0198676 + 0.00437320i
\(516\) −1394.74 + 2855.95i −0.118992 + 0.243655i
\(517\) −1310.36 + 788.416i −0.111469 + 0.0670687i
\(518\) 10494.9 8914.49i 0.890196 0.756139i
\(519\) −10338.5 2504.08i −0.874390 0.211786i
\(520\) 216.908 47.7452i 0.0182924 0.00402647i
\(521\) 17097.4 + 6812.24i 1.43772 + 0.572840i 0.953308 0.302001i \(-0.0976545\pi\)
0.484411 + 0.874840i \(0.339034\pi\)
\(522\) −782.041 + 2956.35i −0.0655728 + 0.247885i
\(523\) −945.943 + 5770.00i −0.0790883 + 0.482418i 0.917349 + 0.398083i \(0.130325\pi\)
−0.996438 + 0.0843341i \(0.973124\pi\)
\(524\) 3588.40 + 5292.49i 0.299160 + 0.441228i
\(525\) 2396.71 12916.5i 0.199240 1.07375i
\(526\) −4439.35 + 13175.5i −0.367994 + 1.09217i
\(527\) 27275.9 + 2966.43i 2.25456 + 0.245199i
\(528\) 22343.1 + 2905.23i 1.84159 + 0.239459i
\(529\) −654.621 + 12073.8i −0.0538030 + 0.992338i
\(530\) 200.640 0.0164438
\(531\) 6759.01 10199.9i 0.552384 0.833590i
\(532\) 1798.45 0.146565
\(533\) −406.976 + 7506.22i −0.0330733 + 0.610001i
\(534\) 24285.8 + 3157.84i 1.96807 + 0.255905i
\(535\) 120.094 + 13.0610i 0.00970485 + 0.00105547i
\(536\) 2317.22 6877.28i 0.186733 0.554204i
\(537\) −1345.51 + 7251.28i −0.108125 + 0.582711i
\(538\) −14313.2 21110.5i −1.14700 1.69170i
\(539\) −595.526 + 3632.55i −0.0475902 + 0.290287i
\(540\) −44.6031 + 41.5158i −0.00355447 + 0.00330844i
\(541\) 7407.87 + 2951.57i 0.588705 + 0.234561i 0.645419 0.763829i \(-0.276683\pi\)
−0.0567137 + 0.998390i \(0.518062\pi\)
\(542\) 5134.08 1130.10i 0.406878 0.0895605i
\(543\) 4985.20 + 1207.47i 0.393988 + 0.0954279i
\(544\) −10014.9 + 8506.72i −0.789310 + 0.670446i
\(545\) −271.343 + 163.262i −0.0213267 + 0.0128319i
\(546\) −11380.4 + 23303.2i −0.892010 + 1.82653i
\(547\) −2464.41 542.457i −0.192633 0.0424018i 0.117606 0.993060i \(-0.462478\pi\)
−0.310239 + 0.950659i \(0.600409\pi\)
\(548\) −1013.20 686.966i −0.0789812 0.0535506i
\(549\) 20805.1 + 6728.07i 1.61738 + 0.523036i
\(550\) −10589.9 + 19974.7i −0.821011 + 1.54859i
\(551\) −498.688 + 1077.90i −0.0385568 + 0.0833393i
\(552\) −356.835 708.581i −0.0275143 0.0546363i
\(553\) −1646.66 10044.2i −0.126624 0.772371i
\(554\) 3677.50 3483.51i 0.282025 0.267149i
\(555\) −52.1256 + 173.536i −0.00398668 + 0.0132724i
\(556\) −1719.21 1306.91i −0.131134 0.0996856i
\(557\) −8806.46 11584.7i −0.669913 0.881256i 0.328075 0.944652i \(-0.393600\pi\)
−0.997988 + 0.0633960i \(0.979807\pi\)
\(558\) −3624.28 20532.2i −0.274961 1.55770i
\(559\) −8337.56 15726.3i −0.630843 1.18990i
\(560\) 263.021 14.2606i 0.0198476 0.00107611i
\(561\) 29174.0 + 16259.8i 2.19559 + 1.22369i
\(562\) −77.1812 + 40.9189i −0.00579305 + 0.00307128i
\(563\) 5661.37 20390.4i 0.423798 1.52638i −0.376292 0.926501i \(-0.622801\pi\)
0.800090 0.599880i \(-0.204785\pi\)
\(564\) −370.966 + 32.4898i −0.0276959 + 0.00242565i
\(565\) −61.5304 + 80.9419i −0.00458160 + 0.00602700i
\(566\) −18496.4 + 5135.50i −1.37361 + 0.381380i
\(567\) 1158.10 + 14702.2i 0.0857769 + 1.08895i
\(568\) −18878.1 + 3094.90i −1.39455 + 0.228625i
\(569\) 6211.10 + 3737.10i 0.457615 + 0.275338i 0.725641 0.688074i \(-0.241544\pi\)
−0.268026 + 0.963412i \(0.586371\pi\)
\(570\) −80.8925 + 52.4045i −0.00594423 + 0.00385085i
\(571\) 4393.10 + 2329.08i 0.321971 + 0.170698i 0.621553 0.783372i \(-0.286502\pi\)
−0.299581 + 0.954071i \(0.596847\pi\)
\(572\) 7536.09 7955.76i 0.550874 0.581551i
\(573\) 813.532 355.863i 0.0593121 0.0259448i
\(574\) −1405.09 + 6383.38i −0.102173 + 0.464176i
\(575\) 1079.47 117.400i 0.0782907 0.00851463i
\(576\) −5735.74 3787.44i −0.414912 0.273976i
\(577\) 10887.5 + 12817.8i 0.785535 + 0.924803i 0.998635 0.0522272i \(-0.0166320\pi\)
−0.213100 + 0.977030i \(0.568356\pi\)
\(578\) −26145.9 + 8809.58i −1.88153 + 0.633962i
\(579\) −14524.5 5235.54i −1.04252 0.375788i
\(580\) 5.59159 14.0338i 0.000400307 0.00100469i
\(581\) −1752.50 + 2063.20i −0.125139 + 0.147325i
\(582\) −18222.2 16148.0i −1.29782 1.15009i
\(583\) −16983.7 + 11515.2i −1.20651 + 0.818032i
\(584\) −9927.76 + 3955.58i −0.703448 + 0.280279i
\(585\) −41.0394 338.778i −0.00290046 0.0239431i
\(586\) 493.350 4536.28i 0.0347783 0.319781i
\(587\) 17926.6 8293.72i 1.26049 0.583166i 0.328110 0.944639i \(-0.393588\pi\)
0.932382 + 0.361473i \(0.117726\pi\)
\(588\) −518.472 + 731.194i −0.0363630 + 0.0512822i
\(589\) 8097.46i 0.566469i
\(590\) −159.681 + 187.373i −0.0111423 + 0.0130746i
\(591\) −587.373 + 931.431i −0.0408821 + 0.0648290i
\(592\) 16290.9 + 883.264i 1.13100 + 0.0613209i
\(593\) 8076.78 + 17457.7i 0.559315 + 1.20894i 0.956643 + 0.291263i \(0.0940754\pi\)
−0.397328 + 0.917677i \(0.630063\pi\)
\(594\) 5672.76 24738.5i 0.391845 1.70881i
\(595\) 370.022 + 124.675i 0.0254949 + 0.00859022i
\(596\) −1067.77 2679.91i −0.0733854 0.184184i
\(597\) −854.831 25743.6i −0.0586028 1.76485i
\(598\) −2115.32 346.789i −0.144652 0.0237144i
\(599\) −18995.2 16134.7i −1.29570 1.10058i −0.988865 0.148814i \(-0.952454\pi\)
−0.306835 0.951763i \(-0.599270\pi\)
\(600\) 9227.19 6713.74i 0.627831 0.456812i
\(601\) 3396.50 + 15430.5i 0.230526 + 1.04729i 0.939631 + 0.342188i \(0.111168\pi\)
−0.709105 + 0.705103i \(0.750901\pi\)
\(602\) −4941.75 14666.6i −0.334569 0.992967i
\(603\) −10176.4 4557.95i −0.687255 0.307818i
\(604\) −2298.81 3820.65i −0.154863 0.257384i
\(605\) 31.6628 + 291.135i 0.00212773 + 0.0195641i
\(606\) −4237.31 4185.84i −0.284041 0.280591i
\(607\) 8805.58 12987.3i 0.588810 0.868429i −0.410242 0.911977i \(-0.634556\pi\)
0.999051 + 0.0435475i \(0.0138660\pi\)
\(608\) 2815.46 + 2666.95i 0.187799 + 0.177893i
\(609\) −1818.88 3171.72i −0.121026 0.211042i
\(610\) −399.272 184.723i −0.0265017 0.0122610i
\(611\) 1075.18 1786.97i 0.0711904 0.118319i
\(612\) 4646.01 + 6675.25i 0.306869 + 0.440900i
\(613\) −4430.89 4677.63i −0.291945 0.308202i 0.563480 0.826130i \(-0.309462\pi\)
−0.855424 + 0.517928i \(0.826704\pi\)
\(614\) −7146.87 25740.7i −0.469746 1.69187i
\(615\) −30.1524 80.5497i −0.00197701 0.00528143i
\(616\) −15722.8 + 11952.1i −1.02839 + 0.781761i
\(617\) −2404.29 667.547i −0.156877 0.0435566i 0.188202 0.982130i \(-0.439734\pi\)
−0.345079 + 0.938574i \(0.612148\pi\)
\(618\) −24046.6 1810.21i −1.56520 0.117827i
\(619\) 162.862 + 3003.81i 0.0105751 + 0.195046i 0.999047 + 0.0436428i \(0.0138964\pi\)
−0.988472 + 0.151403i \(0.951621\pi\)
\(620\) 5.57616 + 102.846i 0.000361200 + 0.00666194i
\(621\) −1136.31 + 441.265i −0.0734277 + 0.0285143i
\(622\) 13400.1 + 3720.53i 0.863821 + 0.239839i
\(623\) −23310.4 + 17720.1i −1.49905 + 1.13955i
\(624\) −28776.3 + 10771.9i −1.84611 + 0.691061i
\(625\) 4177.34 + 15045.4i 0.267350 + 0.962906i
\(626\) 15777.0 + 16655.6i 1.00731 + 1.06340i
\(627\) 3839.74 9078.55i 0.244568 0.578249i
\(628\) 4329.03 7194.91i 0.275075 0.457179i
\(629\) 21949.0 + 10154.7i 1.39136 + 0.643711i
\(630\) 12.4419 296.457i 0.000786824 0.0187478i
\(631\) −3201.34 3032.47i −0.201970 0.191317i 0.580029 0.814596i \(-0.303041\pi\)
−0.781999 + 0.623279i \(0.785800\pi\)
\(632\) 4961.56 7317.75i 0.312279 0.460577i
\(633\) 15055.7 15240.8i 0.945354 0.956978i
\(634\) 813.184 + 7477.11i 0.0509396 + 0.468382i
\(635\) 41.1516 + 68.3945i 0.00257174 + 0.00427426i
\(636\) −4946.67 + 704.785i −0.308409 + 0.0439411i
\(637\) −1602.87 4757.15i −0.0996987 0.295895i
\(638\) 1352.66 + 6145.19i 0.0839377 + 0.381333i
\(639\) 1949.87 + 29328.3i 0.120713 + 1.81566i
\(640\) 220.922 + 187.653i 0.0136449 + 0.0115901i
\(641\) −31173.2 5110.59i −1.92085 0.314908i −0.923256 0.384185i \(-0.874483\pi\)
−0.997597 + 0.0692767i \(0.977931\pi\)
\(642\) −12245.7 + 406.625i −0.752802 + 0.0249972i
\(643\) 2826.85 + 7094.87i 0.173375 + 0.435139i 0.989827 0.142274i \(-0.0454415\pi\)
−0.816452 + 0.577413i \(0.804062\pi\)
\(644\) −433.671 146.121i −0.0265357 0.00894093i
\(645\) 159.508 + 126.620i 0.00973741 + 0.00772968i
\(646\) 5401.60 + 11675.4i 0.328983 + 0.711085i
\(647\) −32533.3 1763.90i −1.97684 0.107181i −0.980734 0.195349i \(-0.937416\pi\)
−0.996106 + 0.0881676i \(0.971899\pi\)
\(648\) −8052.19 + 9963.39i −0.488148 + 0.604011i
\(649\) 2762.78 25025.2i 0.167101 1.51360i
\(650\) 30831.6i 1.86048i
\(651\) 20334.8 + 14418.9i 1.22425 + 0.868084i
\(652\) −6006.72 + 2779.01i −0.360800 + 0.166924i
\(653\) −1196.11 + 10998.0i −0.0716805 + 0.659091i 0.902088 + 0.431552i \(0.142034\pi\)
−0.973769 + 0.227540i \(0.926932\pi\)
\(654\) 24910.5 20275.4i 1.48941 1.21228i
\(655\) 380.623 151.654i 0.0227056 0.00904674i
\(656\) −6409.74 + 4345.91i −0.381491 + 0.258657i
\(657\) 4585.85 + 15766.7i 0.272315 + 0.936250i
\(658\) 1173.92 1382.05i 0.0695504 0.0818811i
\(659\) 7073.76 17753.8i 0.418140 1.04945i −0.557519 0.830164i \(-0.688247\pi\)
0.975660 0.219289i \(-0.0703739\pi\)
\(660\) −42.5169 + 117.951i −0.00250753 + 0.00695643i
\(661\) −3314.18 + 1116.68i −0.195018 + 0.0657091i −0.415116 0.909769i \(-0.636259\pi\)
0.220098 + 0.975478i \(0.429362\pi\)
\(662\) 6009.79 + 7075.27i 0.352836 + 0.415390i
\(663\) −45537.3 955.151i −2.66745 0.0559502i
\(664\) −2337.64 + 254.234i −0.136624 + 0.0148587i
\(665\) 24.7728 112.544i 0.00144458 0.00656280i
\(666\) 2751.37 18170.9i 0.160080 1.05722i
\(667\) 207.828 219.402i 0.0120647 0.0127365i
\(668\) −1423.23 754.548i −0.0824346 0.0437041i
\(669\) −11467.7 17701.8i −0.662733 1.02301i
\(670\) 192.230 + 115.661i 0.0110843 + 0.00666922i
\(671\) 44399.2 7278.88i 2.55441 0.418775i
\(672\) −11710.8 + 2321.39i −0.672254 + 0.133258i
\(673\) 18394.6 5107.23i 1.05358 0.292525i 0.302784 0.953059i \(-0.402084\pi\)
0.750796 + 0.660534i \(0.229670\pi\)
\(674\) −9136.19 + 12018.5i −0.522126 + 0.686845i
\(675\) −8907.45 15101.9i −0.507923 0.861144i
\(676\) −2467.78 + 8888.14i −0.140406 + 0.505697i
\(677\) −13146.7 + 6969.94i −0.746335 + 0.395682i −0.797744 0.602996i \(-0.793973\pi\)
0.0514096 + 0.998678i \(0.483629\pi\)
\(678\) 5020.41 9007.82i 0.284377 0.510241i
\(679\) 29067.7 1576.00i 1.64288 0.0890743i
\(680\) 158.870 + 299.660i 0.00895937 + 0.0168992i
\(681\) 10001.8 9083.98i 0.562807 0.511158i
\(682\) −25962.4 34152.9i −1.45770 1.91757i
\(683\) 8341.91 + 6341.36i 0.467342 + 0.355264i 0.812189 0.583395i \(-0.198276\pi\)
−0.344847 + 0.938659i \(0.612069\pi\)
\(684\) 1810.28 1576.16i 0.101196 0.0881079i
\(685\) −56.9454 + 53.9415i −0.00317631 + 0.00300876i
\(686\) 2949.36 + 17990.3i 0.164151 + 1.00127i
\(687\) −707.006 + 356.042i −0.0392634 + 0.0197727i
\(688\) 7699.51 16642.2i 0.426658 0.922207i
\(689\) 13107.4 24723.2i 0.724751 1.36703i
\(690\) 23.7638 6.06423i 0.00131112 0.000334581i
\(691\) −25360.5 17194.9i −1.39618 0.946632i −0.999590 0.0286359i \(-0.990884\pi\)
−0.396588 0.917997i \(-0.629806\pi\)
\(692\) −5205.23 1145.76i −0.285944 0.0629410i
\(693\) 15961.3 + 25808.5i 0.874919 + 1.41470i
\(694\) −11247.3 + 6767.26i −0.615188 + 0.370147i
\(695\) −105.465 + 89.5829i −0.00575614 + 0.00488931i
\(696\) 747.627 3086.69i 0.0407166 0.168104i
\(697\) −11211.1 + 2467.76i −0.609257 + 0.134108i
\(698\) 16049.9 + 6394.87i 0.870342 + 0.346776i
\(699\) −5642.66 + 1770.36i −0.305329 + 0.0957959i
\(700\) 1064.88 6495.50i 0.0574983 0.350724i
\(701\) 7711.93 + 11374.2i 0.415514 + 0.612838i 0.976637 0.214895i \(-0.0689408\pi\)
−0.561123 + 0.827733i \(0.689630\pi\)
\(702\) 8967.53 + 33430.3i 0.482133 + 1.79736i
\(703\) 2279.03 6763.92i 0.122269 0.362882i
\(704\) −14060.0 1529.11i −0.752705 0.0818616i
\(705\) −3.07672 + 23.6619i −0.000164363 + 0.00126406i
\(706\) −1389.71 + 25631.7i −0.0740827 + 1.36637i
\(707\) 7121.30 0.378818
\(708\) 3278.66 5180.50i 0.174039 0.274993i
\(709\) 11578.8 0.613333 0.306666 0.951817i \(-0.400786\pi\)
0.306666 + 0.951817i \(0.400786\pi\)
\(710\) 32.0164 590.507i 0.00169233 0.0312131i
\(711\) −10460.2 8667.12i −0.551739 0.457162i
\(712\) −25285.4 2749.95i −1.33091 0.144745i
\(713\) −657.903 + 1952.59i −0.0345563 + 0.102560i
\(714\) −38938.4 7225.20i −2.04094 0.378707i
\(715\) −394.051 581.182i −0.0206107 0.0303986i
\(716\) −597.824 + 3646.56i −0.0312035 + 0.190333i
\(717\) 2669.60 + 8508.76i 0.139049 + 0.443188i
\(718\) 18197.9 + 7250.72i 0.945879 + 0.376872i
\(719\) −16825.7 + 3703.61i −0.872729 + 0.192102i −0.628683 0.777661i \(-0.716406\pi\)
−0.244046 + 0.969764i \(0.578475\pi\)
\(720\) 252.253 244.865i 0.0130568 0.0126744i
\(721\) 21974.6 18665.4i 1.13506 0.964125i
\(722\) −15884.7 + 9557.49i −0.818790 + 0.492650i
\(723\) −4353.28 2125.98i −0.223928 0.109359i
\(724\) 2509.95 + 552.483i 0.128842 + 0.0283603i
\(725\) 3597.78 + 2439.36i 0.184301 + 0.124959i
\(726\) −7344.41 28780.5i −0.375450 1.47127i
\(727\) −1982.55 + 3739.48i −0.101140 + 0.190770i −0.928918 0.370286i \(-0.879260\pi\)
0.827778 + 0.561056i \(0.189605\pi\)
\(728\) 11309.1 24444.2i 0.575745 1.24445i
\(729\) 14050.7 + 13784.0i 0.713849 + 0.700300i
\(730\) −53.4469 326.012i −0.00270981 0.0165291i
\(731\) 19733.9 18693.0i 0.998475 0.945806i
\(732\) 10492.7 + 3151.73i 0.529811 + 0.159141i
\(733\) 16606.6 + 12624.0i 0.836805 + 0.636123i 0.933255 0.359215i \(-0.116956\pi\)
−0.0964495 + 0.995338i \(0.530749\pi\)
\(734\) −11130.4 14641.7i −0.559713 0.736289i
\(735\) 38.6151 + 42.5169i 0.00193788 + 0.00213369i
\(736\) −462.224 871.847i −0.0231492 0.0436640i
\(737\) −22909.9 + 1242.14i −1.14505 + 0.0620825i
\(738\) 4180.04 + 7656.79i 0.208495 + 0.381911i
\(739\) −4627.78 + 2453.49i −0.230359 + 0.122129i −0.579591 0.814908i \(-0.696788\pi\)
0.349231 + 0.937037i \(0.386443\pi\)
\(740\) −24.2882 + 87.4783i −0.00120656 + 0.00434563i
\(741\) 1172.82 + 13391.2i 0.0581441 + 0.663885i
\(742\) 14724.5 19369.7i 0.728507 0.958334i
\(743\) −8952.71 + 2485.71i −0.442050 + 0.122735i −0.481420 0.876490i \(-0.659879\pi\)
0.0393699 + 0.999225i \(0.487465\pi\)
\(744\) 4210.36 + 21240.2i 0.207472 + 1.04664i
\(745\) −182.412 + 29.9049i −0.00897055 + 0.00147065i
\(746\) −4166.15 2506.69i −0.204469 0.123025i
\(747\) 44.1534 + 3612.65i 0.00216263 + 0.176948i
\(748\) 14785.1 + 7838.58i 0.722725 + 0.383164i
\(749\) 10074.3 10635.3i 0.491463 0.518831i
\(750\) 282.777 + 646.453i 0.0137674 + 0.0314735i
\(751\) −2043.96 + 9285.78i −0.0993142 + 0.451189i 0.900551 + 0.434751i \(0.143164\pi\)
−0.999865 + 0.0164380i \(0.994767\pi\)
\(752\) 2135.85 232.287i 0.103572 0.0112642i
\(753\) −124.105 + 5916.78i −0.00600617 + 0.286347i
\(754\) −5555.21 6540.10i −0.268314 0.315884i
\(755\) −270.754 + 91.2277i −0.0130513 + 0.00439751i
\(756\) 734.612 + 7352.71i 0.0353407 + 0.353724i
\(757\) 7799.05 19574.2i 0.374454 0.939808i −0.614139 0.789198i \(-0.710497\pi\)
0.988593 0.150610i \(-0.0481239\pi\)
\(758\) 8865.32 10437.1i 0.424806 0.500120i
\(759\) −1663.51 + 1877.19i −0.0795543 + 0.0897730i
\(760\) 82.8515 56.1747i 0.00395439 0.00268114i
\(761\) 3989.65 1589.62i 0.190046 0.0757210i −0.273174 0.961965i \(-0.588073\pi\)
0.463219 + 0.886244i \(0.346694\pi\)
\(762\) −5110.60 6278.91i −0.242962 0.298505i
\(763\) −4151.97 + 38176.8i −0.197001 + 1.81139i
\(764\) 403.789 186.813i 0.0191212 0.00884639i
\(765\) 481.722 198.791i 0.0227669 0.00939517i
\(766\) 20959.8i 0.988652i
\(767\) 12656.8 + 31916.9i 0.595844 + 1.50255i
\(768\) −15916.8 10037.4i −0.747850 0.471604i
\(769\) −3049.72 165.351i −0.143011 0.00775385i −0.0175057 0.999847i \(-0.505573\pi\)
−0.125506 + 0.992093i \(0.540055\pi\)
\(770\) −256.357 554.107i −0.0119980 0.0259333i
\(771\) −18134.1 + 22844.3i −0.847062 + 1.06708i
\(772\) −7330.87 2470.06i −0.341767 0.115155i
\(773\) 1808.73