Properties

Label 230.4.g.b.71.3
Level $230$
Weight $4$
Character 230.71
Analytic conductor $13.570$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 230.g (of order \(11\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(13.5704393013\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(6\) over \(\Q(\zeta_{11})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{11}]$

Embedding invariants

Embedding label 71.3
Character \(\chi\) \(=\) 230.71
Dual form 230.4.g.b.81.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.68251 - 1.08128i) q^{2} +(-0.259790 - 1.80688i) q^{3} +(1.66166 + 3.63853i) q^{4} +(-4.79746 - 1.40866i) q^{5} +(-1.51665 + 3.32099i) q^{6} +(-3.50130 + 4.04072i) q^{7} +(1.13852 - 7.91857i) q^{8} +(22.7090 - 6.66796i) q^{9} +O(q^{10})\) \(q+(-1.68251 - 1.08128i) q^{2} +(-0.259790 - 1.80688i) q^{3} +(1.66166 + 3.63853i) q^{4} +(-4.79746 - 1.40866i) q^{5} +(-1.51665 + 3.32099i) q^{6} +(-3.50130 + 4.04072i) q^{7} +(1.13852 - 7.91857i) q^{8} +(22.7090 - 6.66796i) q^{9} +(6.54861 + 7.55750i) q^{10} +(-20.4137 + 13.1191i) q^{11} +(6.14270 - 3.94767i) q^{12} +(-42.9889 - 49.6119i) q^{13} +(10.2601 - 3.01264i) q^{14} +(-1.29895 + 9.03439i) q^{15} +(-10.4778 + 12.0920i) q^{16} +(-34.5899 + 75.7413i) q^{17} +(-45.4180 - 13.3359i) q^{18} +(30.0343 + 65.7660i) q^{19} +(-2.84630 - 19.7964i) q^{20} +(8.21069 + 5.27669i) q^{21} +48.5315 q^{22} +(47.3096 + 99.6434i) q^{23} -14.6037 q^{24} +(21.0313 + 13.5160i) q^{25} +(18.6848 + 129.955i) q^{26} +(-38.4225 - 84.1335i) q^{27} +(-20.5202 - 6.02528i) q^{28} +(2.18701 - 4.78889i) q^{29} +(11.9542 - 13.7959i) q^{30} +(-11.1970 + 77.8766i) q^{31} +(30.7038 - 9.01544i) q^{32} +(29.0078 + 33.4768i) q^{33} +(140.095 - 90.0338i) q^{34} +(22.4894 - 14.4530i) q^{35} +(61.9962 + 71.5474i) q^{36} +(-280.098 + 82.2443i) q^{37} +(20.5786 - 143.127i) q^{38} +(-78.4745 + 90.5645i) q^{39} +(-16.6166 + 36.3853i) q^{40} +(394.291 + 115.774i) q^{41} +(-8.10895 - 17.7561i) q^{42} +(62.0217 + 431.370i) q^{43} +(-81.6546 - 52.4763i) q^{44} -118.338 q^{45} +(28.1438 - 218.806i) q^{46} +548.118 q^{47} +(24.5708 + 15.7907i) q^{48} +(44.7457 + 311.213i) q^{49} +(-20.7708 - 45.4816i) q^{50} +(145.841 + 42.8229i) q^{51} +(109.081 - 238.855i) q^{52} +(-198.782 + 229.407i) q^{53} +(-26.3259 + 183.101i) q^{54} +(116.414 - 34.1823i) q^{55} +(28.0104 + 32.3257i) q^{56} +(111.029 - 71.3538i) q^{57} +(-8.85780 + 5.69256i) q^{58} +(190.609 + 219.975i) q^{59} +(-35.0303 + 10.2858i) q^{60} +(-117.619 + 818.061i) q^{61} +(103.045 - 118.921i) q^{62} +(-52.5677 + 115.107i) q^{63} +(-61.4076 - 18.0309i) q^{64} +(136.351 + 298.568i) q^{65} +(-12.6080 - 87.6906i) q^{66} +(-742.504 - 477.179i) q^{67} -333.063 q^{68} +(167.753 - 111.369i) q^{69} -53.4663 q^{70} +(-299.418 - 192.424i) q^{71} +(-26.9461 - 187.414i) q^{72} +(-377.642 - 826.921i) q^{73} +(560.197 + 164.489i) q^{74} +(18.9581 - 41.5124i) q^{75} +(-189.385 + 218.562i) q^{76} +(18.4640 - 128.420i) q^{77} +(229.960 - 67.5223i) q^{78} +(-353.150 - 407.557i) q^{79} +(67.3003 - 43.2513i) q^{80} +(395.547 - 254.203i) q^{81} +(-538.213 - 621.131i) q^{82} +(-150.181 + 44.0971i) q^{83} +(-5.55601 + 38.6429i) q^{84} +(272.638 - 314.641i) q^{85} +(362.081 - 792.846i) q^{86} +(-9.22111 - 2.70756i) q^{87} +(80.6429 + 176.583i) q^{88} +(84.3682 + 586.794i) q^{89} +(199.105 + 127.957i) q^{90} +350.985 q^{91} +(-283.943 + 337.711i) q^{92} +143.622 q^{93} +(-922.212 - 592.670i) q^{94} +(-51.4465 - 357.818i) q^{95} +(-24.2663 - 53.1359i) q^{96} +(-978.602 - 287.344i) q^{97} +(261.224 - 572.001i) q^{98} +(-376.096 + 434.038i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + O(q^{10}) \) \( 60q + 12q^{2} - 3q^{3} - 24q^{4} - 30q^{5} + 6q^{6} + 100q^{7} + 48q^{8} + 69q^{9} + 60q^{10} - 51q^{11} + 120q^{12} + 184q^{13} + 20q^{14} - 15q^{15} - 96q^{16} - 334q^{17} - 138q^{18} + 258q^{19} - 120q^{20} + 716q^{21} + 344q^{22} - 288q^{23} + 288q^{24} - 150q^{25} + 336q^{26} - 813q^{27} - 40q^{28} + 1462q^{29} + 30q^{30} - 481q^{31} + 192q^{32} + 269q^{33} - 168q^{34} - 380q^{35} + 12q^{36} - 787q^{37} - 978q^{38} + 2065q^{39} + 240q^{40} - 1843q^{41} + 724q^{42} + 128q^{43} - 204q^{44} + 2380q^{45} + 92q^{46} - 1838q^{47} + 480q^{48} - 606q^{49} + 300q^{50} + 2320q^{51} - 12q^{52} - 3284q^{53} + 636q^{54} - 200q^{55} - 800q^{56} - 2710q^{57} - 856q^{58} - 2708q^{59} - 60q^{60} + 437q^{61} + 962q^{62} + 6063q^{63} - 384q^{64} - 15q^{65} + 1090q^{66} + 2804q^{67} + 600q^{68} + 7900q^{69} - 120q^{70} + 2676q^{71} + 1384q^{72} + 876q^{73} + 1574q^{74} - 75q^{75} + 20q^{76} + 9310q^{77} - 2612q^{78} - 1233q^{79} - 480q^{80} - 6030q^{81} - 1132q^{82} - 9923q^{83} - 964q^{84} + 1300q^{85} + 5222q^{86} - 5719q^{87} - 1176q^{88} - 1827q^{89} + 190q^{90} - 7626q^{91} + 564q^{92} + 230q^{93} - 1142q^{94} + 2445q^{95} + 96q^{96} + 939q^{97} - 5916q^{98} - 10589q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{11}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.68251 1.08128i −0.594856 0.382291i
\(3\) −0.259790 1.80688i −0.0499966 0.347734i −0.999430 0.0337649i \(-0.989250\pi\)
0.949433 0.313969i \(-0.101659\pi\)
\(4\) 1.66166 + 3.63853i 0.207708 + 0.454816i
\(5\) −4.79746 1.40866i −0.429098 0.125995i
\(6\) −1.51665 + 3.32099i −0.103195 + 0.225965i
\(7\) −3.50130 + 4.04072i −0.189052 + 0.218178i −0.842361 0.538914i \(-0.818835\pi\)
0.653309 + 0.757092i \(0.273380\pi\)
\(8\) 1.13852 7.91857i 0.0503159 0.349955i
\(9\) 22.7090 6.66796i 0.841074 0.246962i
\(10\) 6.54861 + 7.55750i 0.207085 + 0.238989i
\(11\) −20.4137 + 13.1191i −0.559541 + 0.359595i −0.789638 0.613572i \(-0.789732\pi\)
0.230097 + 0.973168i \(0.426095\pi\)
\(12\) 6.14270 3.94767i 0.147770 0.0949662i
\(13\) −42.9889 49.6119i −0.917153 1.05845i −0.998093 0.0617317i \(-0.980338\pi\)
0.0809401 0.996719i \(-0.474208\pi\)
\(14\) 10.2601 3.01264i 0.195867 0.0575116i
\(15\) −1.29895 + 9.03439i −0.0223592 + 0.155511i
\(16\) −10.4778 + 12.0920i −0.163715 + 0.188937i
\(17\) −34.5899 + 75.7413i −0.493487 + 1.08059i 0.485045 + 0.874489i \(0.338803\pi\)
−0.978532 + 0.206096i \(0.933924\pi\)
\(18\) −45.4180 13.3359i −0.594729 0.174628i
\(19\) 30.0343 + 65.7660i 0.362650 + 0.794093i 0.999729 + 0.0232940i \(0.00741537\pi\)
−0.637079 + 0.770799i \(0.719857\pi\)
\(20\) −2.84630 19.7964i −0.0318226 0.221331i
\(21\) 8.21069 + 5.27669i 0.0853200 + 0.0548318i
\(22\) 48.5315 0.470316
\(23\) 47.3096 + 99.6434i 0.428901 + 0.903351i
\(24\) −14.6037 −0.124207
\(25\) 21.0313 + 13.5160i 0.168251 + 0.108128i
\(26\) 18.6848 + 129.955i 0.140938 + 0.980245i
\(27\) −38.4225 84.1335i −0.273867 0.599685i
\(28\) −20.5202 6.02528i −0.138499 0.0406668i
\(29\) 2.18701 4.78889i 0.0140041 0.0306646i −0.902501 0.430688i \(-0.858271\pi\)
0.916505 + 0.400024i \(0.130998\pi\)
\(30\) 11.9542 13.7959i 0.0727510 0.0839592i
\(31\) −11.1970 + 77.8766i −0.0648721 + 0.451195i 0.931334 + 0.364167i \(0.118646\pi\)
−0.996206 + 0.0870284i \(0.972263\pi\)
\(32\) 30.7038 9.01544i 0.169616 0.0498038i
\(33\) 29.0078 + 33.4768i 0.153019 + 0.176593i
\(34\) 140.095 90.0338i 0.706652 0.454137i
\(35\) 22.4894 14.4530i 0.108611 0.0698003i
\(36\) 61.9962 + 71.5474i 0.287019 + 0.331238i
\(37\) −280.098 + 82.2443i −1.24454 + 0.365429i −0.836718 0.547633i \(-0.815529\pi\)
−0.407819 + 0.913063i \(0.633711\pi\)
\(38\) 20.5786 143.127i 0.0878498 0.611009i
\(39\) −78.4745 + 90.5645i −0.322205 + 0.371844i
\(40\) −16.6166 + 36.3853i −0.0656829 + 0.143825i
\(41\) 394.291 + 115.774i 1.50190 + 0.440998i 0.926317 0.376744i \(-0.122956\pi\)
0.575584 + 0.817742i \(0.304775\pi\)
\(42\) −8.10895 17.7561i −0.0297914 0.0652341i
\(43\) 62.0217 + 431.370i 0.219958 + 1.52984i 0.738183 + 0.674600i \(0.235684\pi\)
−0.518225 + 0.855245i \(0.673407\pi\)
\(44\) −81.6546 52.4763i −0.279770 0.179798i
\(45\) −118.338 −0.392019
\(46\) 28.1438 218.806i 0.0902083 0.701329i
\(47\) 548.118 1.70109 0.850545 0.525902i \(-0.176272\pi\)
0.850545 + 0.525902i \(0.176272\pi\)
\(48\) 24.5708 + 15.7907i 0.0738852 + 0.0474831i
\(49\) 44.7457 + 311.213i 0.130454 + 0.907327i
\(50\) −20.7708 45.4816i −0.0587486 0.128641i
\(51\) 145.841 + 42.8229i 0.400429 + 0.117577i
\(52\) 109.081 238.855i 0.290901 0.636984i
\(53\) −198.782 + 229.407i −0.515186 + 0.594556i −0.952419 0.304792i \(-0.901413\pi\)
0.437233 + 0.899348i \(0.355958\pi\)
\(54\) −26.3259 + 183.101i −0.0663427 + 0.461423i
\(55\) 116.414 34.1823i 0.285405 0.0838025i
\(56\) 28.0104 + 32.3257i 0.0668401 + 0.0771376i
\(57\) 111.029 71.3538i 0.258002 0.165808i
\(58\) −8.85780 + 5.69256i −0.0200532 + 0.0128874i
\(59\) 190.609 + 219.975i 0.420597 + 0.485394i 0.926019 0.377478i \(-0.123209\pi\)
−0.505422 + 0.862872i \(0.668663\pi\)
\(60\) −35.0303 + 10.2858i −0.0753732 + 0.0221316i
\(61\) −117.619 + 818.061i −0.246879 + 1.71708i 0.369159 + 0.929366i \(0.379646\pi\)
−0.616038 + 0.787716i \(0.711263\pi\)
\(62\) 103.045 118.921i 0.211077 0.243596i
\(63\) −52.5677 + 115.107i −0.105125 + 0.230193i
\(64\) −61.4076 18.0309i −0.119937 0.0352166i
\(65\) 136.351 + 298.568i 0.260190 + 0.569736i
\(66\) −12.6080 87.6906i −0.0235142 0.163545i
\(67\) −742.504 477.179i −1.35390 0.870099i −0.355976 0.934495i \(-0.615852\pi\)
−0.997924 + 0.0643961i \(0.979488\pi\)
\(68\) −333.063 −0.593969
\(69\) 167.753 111.369i 0.292682 0.194308i
\(70\) −53.4663 −0.0912922
\(71\) −299.418 192.424i −0.500483 0.321641i 0.265926 0.963993i \(-0.414322\pi\)
−0.766410 + 0.642352i \(0.777959\pi\)
\(72\) −26.9461 187.414i −0.0441060 0.306764i
\(73\) −377.642 826.921i −0.605475 1.32581i −0.925626 0.378439i \(-0.876461\pi\)
0.320151 0.947367i \(-0.396266\pi\)
\(74\) 560.197 + 164.489i 0.880021 + 0.258397i
\(75\) 18.9581 41.5124i 0.0291879 0.0639125i
\(76\) −189.385 + 218.562i −0.285841 + 0.329878i
\(77\) 18.4640 128.420i 0.0273268 0.190062i
\(78\) 229.960 67.5223i 0.333818 0.0980178i
\(79\) −353.150 407.557i −0.502943 0.580428i 0.446334 0.894866i \(-0.352729\pi\)
−0.949278 + 0.314439i \(0.898184\pi\)
\(80\) 67.3003 43.2513i 0.0940550 0.0604455i
\(81\) 395.547 254.203i 0.542589 0.348701i
\(82\) −538.213 621.131i −0.724826 0.836494i
\(83\) −150.181 + 44.0971i −0.198608 + 0.0583167i −0.379524 0.925182i \(-0.623912\pi\)
0.180915 + 0.983499i \(0.442094\pi\)
\(84\) −5.55601 + 38.6429i −0.00721679 + 0.0501939i
\(85\) 272.638 314.641i 0.347902 0.401501i
\(86\) 362.081 792.846i 0.454002 0.994126i
\(87\) −9.22111 2.70756i −0.0113633 0.00333656i
\(88\) 80.6429 + 176.583i 0.0976882 + 0.213907i
\(89\) 84.3682 + 586.794i 0.100483 + 0.698876i 0.976330 + 0.216287i \(0.0693946\pi\)
−0.875847 + 0.482590i \(0.839696\pi\)
\(90\) 199.105 + 127.957i 0.233195 + 0.149865i
\(91\) 350.985 0.404321
\(92\) −283.943 + 337.711i −0.321773 + 0.382704i
\(93\) 143.622 0.160139
\(94\) −922.212 592.670i −1.01190 0.650311i
\(95\) −51.4465 357.818i −0.0555611 0.386436i
\(96\) −24.2663 53.1359i −0.0257987 0.0564912i
\(97\) −978.602 287.344i −1.02435 0.300776i −0.273939 0.961747i \(-0.588327\pi\)
−0.750412 + 0.660971i \(0.770145\pi\)
\(98\) 261.224 572.001i 0.269261 0.589600i
\(99\) −376.096 + 434.038i −0.381809 + 0.440631i
\(100\) −14.2315 + 98.9821i −0.0142315 + 0.0989821i
\(101\) −1217.95 + 357.623i −1.19991 + 0.352325i −0.819817 0.572625i \(-0.805925\pi\)
−0.380090 + 0.924950i \(0.624107\pi\)
\(102\) −199.076 229.745i −0.193249 0.223021i
\(103\) −1056.95 + 679.259i −1.01111 + 0.649800i −0.937680 0.347501i \(-0.887030\pi\)
−0.0734284 + 0.997300i \(0.523394\pi\)
\(104\) −441.799 + 283.927i −0.416557 + 0.267705i
\(105\) −31.9574 36.8808i −0.0297021 0.0342781i
\(106\) 582.506 171.039i 0.533755 0.156725i
\(107\) 275.491 1916.08i 0.248904 1.73116i −0.355666 0.934613i \(-0.615746\pi\)
0.604570 0.796552i \(-0.293345\pi\)
\(108\) 242.277 279.603i 0.215862 0.249118i
\(109\) 327.875 717.946i 0.288117 0.630888i −0.709127 0.705081i \(-0.750911\pi\)
0.997244 + 0.0741927i \(0.0236380\pi\)
\(110\) −232.828 68.3646i −0.201812 0.0592573i
\(111\) 221.372 + 484.738i 0.189295 + 0.414498i
\(112\) −12.1745 84.6754i −0.0102713 0.0714382i
\(113\) 1357.42 + 872.361i 1.13005 + 0.726238i 0.965570 0.260143i \(-0.0837697\pi\)
0.164478 + 0.986381i \(0.447406\pi\)
\(114\) −263.960 −0.216861
\(115\) −86.6022 544.679i −0.0702234 0.441666i
\(116\) 21.0586 0.0168555
\(117\) −1307.05 839.987i −1.03279 0.663734i
\(118\) −82.8467 576.211i −0.0646326 0.449530i
\(119\) −184.939 404.961i −0.142465 0.311956i
\(120\) 70.0606 + 20.5717i 0.0532969 + 0.0156494i
\(121\) −308.310 + 675.104i −0.231638 + 0.507216i
\(122\) 1082.45 1249.21i 0.803282 0.927037i
\(123\) 106.757 742.514i 0.0782601 0.544311i
\(124\) −301.962 + 88.6640i −0.218685 + 0.0642118i
\(125\) −81.8576 94.4687i −0.0585725 0.0675963i
\(126\) 212.909 136.828i 0.150535 0.0967430i
\(127\) 1178.63 757.459i 0.823515 0.529241i −0.0596961 0.998217i \(-0.519013\pi\)
0.883211 + 0.468976i \(0.155377\pi\)
\(128\) 83.8222 + 96.7359i 0.0578821 + 0.0667995i
\(129\) 763.321 224.131i 0.520982 0.152974i
\(130\) 93.4239 649.777i 0.0630294 0.438379i
\(131\) −590.094 + 681.004i −0.393563 + 0.454196i −0.917603 0.397498i \(-0.869879\pi\)
0.524040 + 0.851693i \(0.324424\pi\)
\(132\) −73.6052 + 161.173i −0.0485342 + 0.106275i
\(133\) −370.901 108.906i −0.241814 0.0710029i
\(134\) 733.304 + 1605.71i 0.472745 + 1.03517i
\(135\) 65.8148 + 457.752i 0.0419588 + 0.291830i
\(136\) 560.381 + 360.135i 0.353326 + 0.227069i
\(137\) 116.559 0.0726886 0.0363443 0.999339i \(-0.488429\pi\)
0.0363443 + 0.999339i \(0.488429\pi\)
\(138\) −402.667 + 5.99101i −0.248386 + 0.00369557i
\(139\) 534.012 0.325859 0.162929 0.986638i \(-0.447906\pi\)
0.162929 + 0.986638i \(0.447906\pi\)
\(140\) 89.9575 + 57.8122i 0.0543057 + 0.0349001i
\(141\) −142.396 990.383i −0.0850487 0.591527i
\(142\) 295.708 + 647.509i 0.174755 + 0.382660i
\(143\) 1528.42 + 448.785i 0.893798 + 0.262443i
\(144\) −157.311 + 344.462i −0.0910363 + 0.199342i
\(145\) −17.2380 + 19.8938i −0.00987270 + 0.0113937i
\(146\) −258.749 + 1799.64i −0.146673 + 1.02013i
\(147\) 550.700 161.700i 0.308986 0.0907265i
\(148\) −764.677 882.484i −0.424703 0.490133i
\(149\) −1421.16 + 913.325i −0.781384 + 0.502165i −0.869492 0.493946i \(-0.835554\pi\)
0.0881090 + 0.996111i \(0.471918\pi\)
\(150\) −76.7837 + 49.3459i −0.0417958 + 0.0268605i
\(151\) −475.254 548.472i −0.256130 0.295590i 0.613092 0.790011i \(-0.289925\pi\)
−0.869222 + 0.494422i \(0.835380\pi\)
\(152\) 554.968 162.953i 0.296144 0.0869556i
\(153\) −280.461 + 1950.65i −0.148196 + 1.03072i
\(154\) −169.924 + 196.102i −0.0889145 + 0.102613i
\(155\) 163.419 357.837i 0.0846847 0.185434i
\(156\) −459.919 135.045i −0.236045 0.0693091i
\(157\) −1505.61 3296.83i −0.765356 1.67590i −0.736618 0.676310i \(-0.763578\pi\)
−0.0287388 0.999587i \(-0.509149\pi\)
\(158\) 153.494 + 1067.57i 0.0772868 + 0.537542i
\(159\) 466.152 + 299.578i 0.232505 + 0.149422i
\(160\) −160.000 −0.0790569
\(161\) −568.276 157.717i −0.278176 0.0772039i
\(162\) −940.376 −0.456067
\(163\) 3181.85 + 2044.85i 1.52897 + 0.982607i 0.990123 + 0.140201i \(0.0447750\pi\)
0.538844 + 0.842406i \(0.318861\pi\)
\(164\) 233.930 + 1627.02i 0.111383 + 0.774688i
\(165\) −92.0065 201.466i −0.0434103 0.0950552i
\(166\) 300.362 + 88.1942i 0.140437 + 0.0412361i
\(167\) 309.530 677.777i 0.143426 0.314060i −0.824262 0.566208i \(-0.808410\pi\)
0.967689 + 0.252148i \(0.0811371\pi\)
\(168\) 51.1319 59.0093i 0.0234816 0.0270992i
\(169\) −300.624 + 2090.89i −0.136834 + 0.951700i
\(170\) −798.930 + 234.587i −0.360442 + 0.105835i
\(171\) 1120.57 + 1293.21i 0.501126 + 0.578330i
\(172\) −1466.49 + 942.458i −0.650111 + 0.417801i
\(173\) −2300.96 + 1478.74i −1.01121 + 0.649864i −0.937705 0.347431i \(-0.887054\pi\)
−0.0735023 + 0.997295i \(0.523418\pi\)
\(174\) 12.5869 + 14.5261i 0.00548399 + 0.00632886i
\(175\) −128.251 + 37.6580i −0.0553994 + 0.0162667i
\(176\) 55.2541 384.300i 0.0236644 0.164589i
\(177\) 347.949 401.555i 0.147760 0.170524i
\(178\) 492.539 1078.51i 0.207401 0.454145i
\(179\) 784.452 + 230.336i 0.327557 + 0.0961794i 0.441376 0.897322i \(-0.354490\pi\)
−0.113819 + 0.993501i \(0.536309\pi\)
\(180\) −196.638 430.578i −0.0814253 0.178297i
\(181\) −72.8464 506.658i −0.0299151 0.208064i 0.969382 0.245559i \(-0.0789714\pi\)
−0.999297 + 0.0374947i \(0.988062\pi\)
\(182\) −590.534 379.513i −0.240513 0.154568i
\(183\) 1508.69 0.609431
\(184\) 842.896 261.179i 0.337713 0.104643i
\(185\) 1459.62 0.580071
\(186\) −241.646 155.296i −0.0952598 0.0612198i
\(187\) −287.548 1999.94i −0.112447 0.782088i
\(188\) 910.786 + 1994.34i 0.353329 + 0.773683i
\(189\) 474.488 + 139.322i 0.182614 + 0.0536202i
\(190\) −300.343 + 657.660i −0.114680 + 0.251114i
\(191\) 1656.44 1911.64i 0.627518 0.724194i −0.349599 0.936900i \(-0.613682\pi\)
0.977116 + 0.212705i \(0.0682275\pi\)
\(192\) −16.6266 + 115.640i −0.00624957 + 0.0434667i
\(193\) −3019.64 + 886.645i −1.12621 + 0.330684i −0.791216 0.611537i \(-0.790552\pi\)
−0.334992 + 0.942221i \(0.608734\pi\)
\(194\) 1335.81 + 1541.60i 0.494357 + 0.570519i
\(195\) 504.054 323.936i 0.185108 0.118962i
\(196\) −1058.01 + 679.939i −0.385571 + 0.247791i
\(197\) 1175.95 + 1357.12i 0.425295 + 0.490817i 0.927443 0.373965i \(-0.122002\pi\)
−0.502148 + 0.864782i \(0.667457\pi\)
\(198\) 1102.10 323.606i 0.395571 0.116150i
\(199\) −248.201 + 1726.27i −0.0884145 + 0.614937i 0.896649 + 0.442743i \(0.145995\pi\)
−0.985063 + 0.172194i \(0.944915\pi\)
\(200\) 130.972 151.150i 0.0463056 0.0534396i
\(201\) −669.309 + 1465.58i −0.234873 + 0.514299i
\(202\) 2435.90 + 715.245i 0.848462 + 0.249131i
\(203\) 11.6932 + 25.6044i 0.00404285 + 0.00885261i
\(204\) 86.5265 + 601.805i 0.0296964 + 0.206543i
\(205\) −1728.51 1110.85i −0.588900 0.378463i
\(206\) 2512.79 0.849876
\(207\) 1738.77 + 1947.34i 0.583831 + 0.653863i
\(208\) 1050.33 0.350133
\(209\) −1475.90 948.503i −0.488469 0.313920i
\(210\) 13.8900 + 96.6072i 0.00456430 + 0.0317454i
\(211\) −600.732 1315.42i −0.196000 0.429181i 0.785957 0.618281i \(-0.212170\pi\)
−0.981958 + 0.189099i \(0.939443\pi\)
\(212\) −1165.01 342.078i −0.377422 0.110821i
\(213\) −269.901 + 591.001i −0.0868231 + 0.190116i
\(214\) −2535.34 + 2925.94i −0.809870 + 0.934640i
\(215\) 310.108 2156.85i 0.0983684 0.684167i
\(216\) −709.962 + 208.464i −0.223643 + 0.0656674i
\(217\) −275.473 317.913i −0.0861767 0.0994532i
\(218\) −1327.95 + 853.425i −0.412571 + 0.265143i
\(219\) −1396.04 + 897.180i −0.430756 + 0.276830i
\(220\) 317.814 + 366.777i 0.0973955 + 0.112400i
\(221\) 5244.65 1539.97i 1.59635 0.468731i
\(222\) 151.677 1054.94i 0.0458555 0.318932i
\(223\) 2303.93 2658.88i 0.691850 0.798438i −0.295777 0.955257i \(-0.595579\pi\)
0.987627 + 0.156819i \(0.0501241\pi\)
\(224\) −71.0743 + 155.631i −0.0212002 + 0.0464220i
\(225\) 567.725 + 166.699i 0.168215 + 0.0493923i
\(226\) −1340.60 2935.51i −0.394582 0.864014i
\(227\) 827.710 + 5756.85i 0.242013 + 1.68324i 0.641989 + 0.766714i \(0.278110\pi\)
−0.399975 + 0.916526i \(0.630981\pi\)
\(228\) 444.115 + 285.415i 0.129001 + 0.0829038i
\(229\) 2268.89 0.654726 0.327363 0.944899i \(-0.393840\pi\)
0.327363 + 0.944899i \(0.393840\pi\)
\(230\) −443.242 + 1010.07i −0.127072 + 0.289573i
\(231\) −236.835 −0.0674573
\(232\) −35.4312 22.7703i −0.0100266 0.00644371i
\(233\) 633.028 + 4402.81i 0.177987 + 1.23793i 0.861411 + 0.507908i \(0.169581\pi\)
−0.683424 + 0.730022i \(0.739510\pi\)
\(234\) 1290.85 + 2826.57i 0.360622 + 0.789652i
\(235\) −2629.58 772.113i −0.729935 0.214328i
\(236\) −483.656 + 1059.06i −0.133404 + 0.292114i
\(237\) −644.662 + 743.979i −0.176689 + 0.203910i
\(238\) −126.715 + 881.321i −0.0345114 + 0.240032i
\(239\) 5593.55 1642.42i 1.51388 0.444515i 0.583807 0.811893i \(-0.301563\pi\)
0.930072 + 0.367378i \(0.119744\pi\)
\(240\) −95.6337 110.367i −0.0257214 0.0296841i
\(241\) −3190.82 + 2050.62i −0.852859 + 0.548099i −0.892465 0.451116i \(-0.851026\pi\)
0.0396061 + 0.999215i \(0.487390\pi\)
\(242\) 1248.71 802.498i 0.331695 0.213167i
\(243\) −2197.44 2535.98i −0.580107 0.669479i
\(244\) −3171.98 + 931.378i −0.832235 + 0.244366i
\(245\) 223.729 1556.07i 0.0583408 0.405769i
\(246\) −982.486 + 1133.85i −0.254638 + 0.293868i
\(247\) 1971.63 4317.27i 0.507903 1.11215i
\(248\) 603.923 + 177.328i 0.154634 + 0.0454046i
\(249\) 118.694 + 259.903i 0.0302084 + 0.0661472i
\(250\) 35.5787 + 247.455i 0.00900078 + 0.0626018i
\(251\) 2127.53 + 1367.28i 0.535013 + 0.343832i 0.780086 0.625673i \(-0.215175\pi\)
−0.245073 + 0.969505i \(0.578812\pi\)
\(252\) −506.170 −0.126531
\(253\) −2272.99 1413.43i −0.564829 0.351231i
\(254\) −2802.08 −0.692197
\(255\) −639.346 410.883i −0.157009 0.100904i
\(256\) −36.4326 253.394i −0.00889468 0.0618638i
\(257\) −2391.44 5236.51i −0.580442 1.27099i −0.941048 0.338273i \(-0.890157\pi\)
0.360606 0.932718i \(-0.382570\pi\)
\(258\) −1526.64 448.262i −0.368390 0.108169i
\(259\) 648.383 1419.76i 0.155554 0.340616i
\(260\) −859.779 + 992.237i −0.205082 + 0.236677i
\(261\) 17.7327 123.334i 0.00420547 0.0292497i
\(262\) 1729.19 507.737i 0.407748 0.119726i
\(263\) −641.018 739.774i −0.150292 0.173446i 0.675611 0.737258i \(-0.263880\pi\)
−0.825903 + 0.563812i \(0.809334\pi\)
\(264\) 298.114 191.587i 0.0694988 0.0446642i
\(265\) 1276.81 820.555i 0.295976 0.190212i
\(266\) 506.285 + 584.284i 0.116701 + 0.134680i
\(267\) 1038.35 304.886i 0.237999 0.0698829i
\(268\) 502.438 3494.53i 0.114520 0.796502i
\(269\) −781.841 + 902.292i −0.177211 + 0.204512i −0.837405 0.546583i \(-0.815928\pi\)
0.660194 + 0.751095i \(0.270474\pi\)
\(270\) 384.225 841.335i 0.0866044 0.189637i
\(271\) −1152.20 338.318i −0.258271 0.0758352i 0.150034 0.988681i \(-0.452062\pi\)
−0.408305 + 0.912846i \(0.633880\pi\)
\(272\) −553.438 1211.86i −0.123372 0.270146i
\(273\) −91.1823 634.187i −0.0202147 0.140596i
\(274\) −196.112 126.033i −0.0432392 0.0277882i
\(275\) −606.644 −0.133026
\(276\) 683.968 + 425.316i 0.149167 + 0.0927574i
\(277\) −2305.91 −0.500176 −0.250088 0.968223i \(-0.580460\pi\)
−0.250088 + 0.968223i \(0.580460\pi\)
\(278\) −898.480 577.418i −0.193839 0.124573i
\(279\) 265.006 + 1843.16i 0.0568656 + 0.395509i
\(280\) −88.8429 194.539i −0.0189621 0.0415211i
\(281\) −6906.17 2027.83i −1.46615 0.430500i −0.551303 0.834305i \(-0.685869\pi\)
−0.914845 + 0.403805i \(0.867687\pi\)
\(282\) −831.301 + 1820.30i −0.175543 + 0.384387i
\(283\) −4083.72 + 4712.87i −0.857782 + 0.989933i 0.142218 + 0.989835i \(0.454576\pi\)
−1.00000 9.74837e-5i \(0.999969\pi\)
\(284\) 202.610 1409.18i 0.0423334 0.294435i
\(285\) −633.169 + 185.915i −0.131599 + 0.0386410i
\(286\) −2086.32 2407.74i −0.431352 0.497807i
\(287\) −1848.34 + 1187.86i −0.380154 + 0.244310i
\(288\) 637.137 409.463i 0.130360 0.0837773i
\(289\) −1322.95 1526.77i −0.269275 0.310760i
\(290\) 50.5139 14.8322i 0.0102285 0.00300337i
\(291\) −264.964 + 1842.86i −0.0533762 + 0.371239i
\(292\) 2381.26 2748.12i 0.477236 0.550760i
\(293\) 730.885 1600.42i 0.145730 0.319103i −0.822665 0.568526i \(-0.807514\pi\)
0.968395 + 0.249423i \(0.0802410\pi\)
\(294\) −1101.40 323.400i −0.218486 0.0641534i
\(295\) −604.571 1323.82i −0.119320 0.261275i
\(296\) 332.360 + 2311.62i 0.0652637 + 0.453919i
\(297\) 1888.10 + 1213.41i 0.368884 + 0.237067i
\(298\) 3378.68 0.656784
\(299\) 2909.71 6630.68i 0.562785 1.28248i
\(300\) 182.546 0.0351310
\(301\) −1960.20 1259.74i −0.375362 0.241231i
\(302\) 206.565 + 1436.69i 0.0393592 + 0.273749i
\(303\) 962.592 + 2107.78i 0.182506 + 0.399633i
\(304\) −1109.94 325.906i −0.209405 0.0614869i
\(305\) 1716.65 3758.93i 0.322279 0.705692i
\(306\) 2581.08 2978.73i 0.482192 0.556479i
\(307\) −737.491 + 5129.37i −0.137104 + 0.953578i 0.798869 + 0.601505i \(0.205432\pi\)
−0.935973 + 0.352073i \(0.885477\pi\)
\(308\) 497.939 146.208i 0.0921192 0.0270486i
\(309\) 1501.92 + 1733.31i 0.276509 + 0.319109i
\(310\) −661.876 + 425.362i −0.121265 + 0.0779321i
\(311\) −2305.47 + 1481.64i −0.420358 + 0.270148i −0.733675 0.679501i \(-0.762196\pi\)
0.313316 + 0.949649i \(0.398560\pi\)
\(312\) 627.796 + 724.516i 0.113917 + 0.131467i
\(313\) 4290.79 1259.89i 0.774855 0.227518i 0.129683 0.991555i \(-0.458604\pi\)
0.645172 + 0.764037i \(0.276786\pi\)
\(314\) −1031.60 + 7174.93i −0.185403 + 1.28951i
\(315\) 414.339 478.172i 0.0741122 0.0855300i
\(316\) 896.093 1962.17i 0.159523 0.349306i
\(317\) 4907.36 + 1440.93i 0.869479 + 0.255302i 0.685894 0.727702i \(-0.259412\pi\)
0.183585 + 0.983004i \(0.441230\pi\)
\(318\) −460.376 1008.08i −0.0811844 0.177769i
\(319\) 18.1808 + 126.450i 0.00319100 + 0.0221939i
\(320\) 269.201 + 173.005i 0.0470275 + 0.0302227i
\(321\) −3533.70 −0.614429
\(322\) 785.592 + 879.826i 0.135961 + 0.152269i
\(323\) −6020.09 −1.03705
\(324\) 1582.19 + 1016.81i 0.271294 + 0.174350i
\(325\) −233.560 1624.44i −0.0398633 0.277255i
\(326\) −3142.42 6880.95i −0.533873 1.16902i
\(327\) −1382.42 405.915i −0.233786 0.0686458i
\(328\) 1365.68 2990.41i 0.229899 0.503408i
\(329\) −1919.13 + 2214.79i −0.321595 + 0.371141i
\(330\) −63.0400 + 438.453i −0.0105159 + 0.0731395i
\(331\) 10340.1 3036.13i 1.71705 0.504171i 0.732723 0.680527i \(-0.238249\pi\)
0.984326 + 0.176356i \(0.0564310\pi\)
\(332\) −409.998 473.163i −0.0677758 0.0782174i
\(333\) −5812.35 + 3735.37i −0.956501 + 0.614706i
\(334\) −1253.66 + 805.675i −0.205380 + 0.131990i
\(335\) 2889.95 + 3335.19i 0.471329 + 0.543942i
\(336\) −149.835 + 43.9956i −0.0243280 + 0.00714333i
\(337\) 1183.95 8234.55i 0.191376 1.33105i −0.636993 0.770870i \(-0.719822\pi\)
0.828369 0.560182i \(-0.189269\pi\)
\(338\) 2766.64 3192.87i 0.445223 0.513814i
\(339\) 1223.61 2679.33i 0.196039 0.429265i
\(340\) 1597.86 + 469.174i 0.254871 + 0.0748369i
\(341\) −793.097 1736.64i −0.125949 0.275790i
\(342\) −487.048 3387.50i −0.0770075 0.535599i
\(343\) −2956.96 1900.33i −0.465484 0.299148i
\(344\) 3486.45 0.546444
\(345\) −961.670 + 297.982i −0.150071 + 0.0465009i
\(346\) 5470.32 0.849960
\(347\) −2393.53 1538.23i −0.370293 0.237973i 0.342239 0.939613i \(-0.388815\pi\)
−0.712531 + 0.701641i \(0.752451\pi\)
\(348\) −5.47081 38.0503i −0.000842719 0.00586124i
\(349\) −2455.58 5376.98i −0.376631 0.824708i −0.999114 0.0420745i \(-0.986603\pi\)
0.622483 0.782633i \(-0.286124\pi\)
\(350\) 256.503 + 75.3161i 0.0391733 + 0.0115023i
\(351\) −2522.28 + 5523.02i −0.383559 + 0.839878i
\(352\) −508.502 + 586.843i −0.0769979 + 0.0888603i
\(353\) −682.795 + 4748.94i −0.102950 + 0.716036i 0.871330 + 0.490697i \(0.163258\pi\)
−0.974281 + 0.225338i \(0.927651\pi\)
\(354\) −1019.62 + 299.388i −0.153085 + 0.0449499i
\(355\) 1165.38 + 1344.93i 0.174232 + 0.201074i
\(356\) −1994.87 + 1282.03i −0.296989 + 0.190863i
\(357\) −683.670 + 439.368i −0.101355 + 0.0651367i
\(358\) −1070.79 1235.76i −0.158081 0.182435i
\(359\) 9590.08 2815.90i 1.40987 0.413977i 0.513812 0.857903i \(-0.328233\pi\)
0.896063 + 0.443927i \(0.146415\pi\)
\(360\) −134.731 + 937.072i −0.0197248 + 0.137189i
\(361\) 1068.58 1233.21i 0.155792 0.179794i
\(362\) −425.275 + 931.223i −0.0617458 + 0.135204i
\(363\) 1299.93 + 381.693i 0.187957 + 0.0551892i
\(364\) 583.217 + 1277.07i 0.0839805 + 0.183892i
\(365\) 646.872 + 4499.10i 0.0927640 + 0.645188i
\(366\) −2538.39 1631.32i −0.362524 0.232980i
\(367\) −596.733 −0.0848753 −0.0424376 0.999099i \(-0.513512\pi\)
−0.0424376 + 0.999099i \(0.513512\pi\)
\(368\) −1700.59 471.973i −0.240895 0.0668568i
\(369\) 9725.94 1.37212
\(370\) −2455.82 1578.26i −0.345059 0.221756i
\(371\) −230.972 1606.45i −0.0323220 0.224805i
\(372\) 238.652 + 522.574i 0.0332621 + 0.0728339i
\(373\) −4708.90 1382.66i −0.653667 0.191934i −0.0619493 0.998079i \(-0.519732\pi\)
−0.591718 + 0.806145i \(0.701550\pi\)
\(374\) −1678.70 + 3675.84i −0.232095 + 0.508217i
\(375\) −149.428 + 172.449i −0.0205771 + 0.0237472i
\(376\) 624.043 4340.31i 0.0855919 0.595304i
\(377\) −331.603 + 97.3675i −0.0453009 + 0.0133015i
\(378\) −647.683 747.467i −0.0881303 0.101708i
\(379\) 8187.39 5261.71i 1.10965 0.713129i 0.148434 0.988922i \(-0.452577\pi\)
0.961217 + 0.275793i \(0.0889404\pi\)
\(380\) 1216.45 781.762i 0.164217 0.105536i
\(381\) −1674.83 1932.86i −0.225208 0.259904i
\(382\) −4853.99 + 1425.26i −0.650136 + 0.190897i
\(383\) −162.791 + 1132.24i −0.0217187 + 0.151057i −0.997795 0.0663716i \(-0.978858\pi\)
0.976076 + 0.217428i \(0.0697668\pi\)
\(384\) 153.014 176.588i 0.0203345 0.0234673i
\(385\) −269.480 + 590.079i −0.0356727 + 0.0781123i
\(386\) 6039.27 + 1773.29i 0.796349 + 0.233829i
\(387\) 4284.81 + 9382.42i 0.562814 + 1.23239i
\(388\) −580.597 4038.14i −0.0759674 0.528365i
\(389\) −4668.48 3000.25i −0.608486 0.391050i 0.199803 0.979836i \(-0.435970\pi\)
−0.808289 + 0.588786i \(0.799606\pi\)
\(390\) −1198.34 −0.155590
\(391\) −9183.55 + 136.636i −1.18781 + 0.0176726i
\(392\) 2515.31 0.324087
\(393\) 1383.79 + 889.309i 0.177616 + 0.114147i
\(394\) −511.118 3554.90i −0.0653547 0.454552i
\(395\) 1120.12 + 2452.71i 0.142681 + 0.312429i
\(396\) −2204.20 647.213i −0.279711 0.0821305i
\(397\) −5013.42 + 10977.8i −0.633794 + 1.38781i 0.271255 + 0.962507i \(0.412561\pi\)
−0.905049 + 0.425307i \(0.860166\pi\)
\(398\) 2284.19 2636.09i 0.287678 0.331999i
\(399\) −100.424 + 698.466i −0.0126003 + 0.0876367i
\(400\) −383.797 + 112.693i −0.0479746 + 0.0140866i
\(401\) 5022.52 + 5796.30i 0.625468 + 0.721829i 0.976736 0.214446i \(-0.0687946\pi\)
−0.351267 + 0.936275i \(0.614249\pi\)
\(402\) 2710.82 1742.14i 0.336327 0.216144i
\(403\) 4344.95 2792.33i 0.537065 0.345151i
\(404\) −3325.04 3837.30i −0.409473 0.472557i
\(405\) −2255.71 + 662.336i −0.276758 + 0.0812636i
\(406\) 8.01179 55.7232i 0.000979356 0.00681157i
\(407\) 4638.87 5353.54i 0.564963 0.652002i
\(408\) 505.139 1106.10i 0.0612944 0.134216i
\(409\) −11859.8 3482.34i −1.43381 0.421004i −0.529655 0.848213i \(-0.677678\pi\)
−0.904153 + 0.427210i \(0.859497\pi\)
\(410\) 1707.09 + 3738.02i 0.205628 + 0.450262i
\(411\) −30.2809 210.609i −0.00363418 0.0252763i
\(412\) −4227.79 2717.04i −0.505554 0.324900i
\(413\) −1556.24 −0.185417
\(414\) −819.870 5156.52i −0.0973294 0.612147i
\(415\) 782.605 0.0925701
\(416\) −1767.20 1135.71i −0.208279 0.133853i
\(417\) −138.731 964.896i −0.0162918 0.113312i
\(418\) 1457.61 + 3191.73i 0.170560 + 0.373475i
\(419\) −7484.69 2197.70i −0.872676 0.256241i −0.185423 0.982659i \(-0.559365\pi\)
−0.687253 + 0.726418i \(0.741184\pi\)
\(420\) 81.0895 177.561i 0.00942087 0.0206288i
\(421\) −6317.89 + 7291.24i −0.731390 + 0.844069i −0.992627 0.121205i \(-0.961324\pi\)
0.261237 + 0.965275i \(0.415869\pi\)
\(422\) −411.603 + 2862.76i −0.0474799 + 0.330230i
\(423\) 12447.2 3654.83i 1.43074 0.420104i
\(424\) 1590.26 + 1835.26i 0.182146 + 0.210207i
\(425\) −1751.19 + 1125.42i −0.199871 + 0.128449i
\(426\) 1093.15 702.524i 0.124327 0.0799000i
\(427\) −2893.73 3339.55i −0.327957 0.378482i
\(428\) 7429.49 2181.50i 0.839061 0.246370i
\(429\) 413.832 2878.26i 0.0465734 0.323925i
\(430\) −2853.92 + 3293.60i −0.320066 + 0.369376i
\(431\) 3653.48 8000.00i 0.408310 0.894075i −0.588049 0.808825i \(-0.700104\pi\)
0.996360 0.0852498i \(-0.0271688\pi\)
\(432\) 1419.92 + 416.927i 0.158139 + 0.0464339i
\(433\) 5165.42 + 11310.7i 0.573289 + 1.25533i 0.945028 + 0.326990i \(0.106034\pi\)
−0.371739 + 0.928337i \(0.621238\pi\)
\(434\) 119.732 + 832.755i 0.0132427 + 0.0921049i
\(435\) 40.4239 + 25.9789i 0.00445558 + 0.00286343i
\(436\) 3157.09 0.346782
\(437\) −5132.24 + 6104.09i −0.561804 + 0.668188i
\(438\) 3318.95 0.362067
\(439\) −14760.8 9486.18i −1.60477 1.03132i −0.964822 0.262903i \(-0.915320\pi\)
−0.639946 0.768420i \(-0.721043\pi\)
\(440\) −138.135 960.751i −0.0149667 0.104095i
\(441\) 3091.29 + 6768.98i 0.333796 + 0.730912i
\(442\) −10489.3 3079.94i −1.12879 0.331443i
\(443\) −3632.62 + 7954.33i −0.389596 + 0.853096i 0.608624 + 0.793459i \(0.291722\pi\)
−0.998220 + 0.0596375i \(0.981006\pi\)
\(444\) −1395.89 + 1610.94i −0.149202 + 0.172189i
\(445\) 421.841 2933.97i 0.0449375 0.312547i
\(446\) −6751.37 + 1982.38i −0.716787 + 0.210468i
\(447\) 2019.47 + 2330.59i 0.213686 + 0.246607i
\(448\) 287.864 184.999i 0.0303578 0.0195098i
\(449\) −10319.7 + 6632.10i −1.08467 + 0.697078i −0.955633 0.294561i \(-0.904826\pi\)
−0.129042 + 0.991639i \(0.541190\pi\)
\(450\) −774.952 894.343i −0.0811813 0.0936883i
\(451\) −9567.78 + 2809.35i −0.998956 + 0.293320i
\(452\) −918.539 + 6388.58i −0.0955851 + 0.664809i
\(453\) −867.557 + 1001.21i −0.0899809 + 0.103844i
\(454\) 4832.15 10580.9i 0.499524 1.09380i
\(455\) −1683.84 494.419i −0.173493 0.0509423i
\(456\) −438.612 960.426i −0.0450436 0.0986317i
\(457\) 1300.93 + 9048.20i 0.133162 + 0.926164i 0.941396 + 0.337303i \(0.109515\pi\)
−0.808234 + 0.588861i \(0.799576\pi\)
\(458\) −3817.42 2453.31i −0.389468 0.250296i
\(459\) 7701.41 0.783161
\(460\) 1837.93 1220.18i 0.186291 0.123676i
\(461\) 12130.4 1.22553 0.612766 0.790265i \(-0.290057\pi\)
0.612766 + 0.790265i \(0.290057\pi\)
\(462\) 398.477 + 256.086i 0.0401274 + 0.0257883i
\(463\) 409.665 + 2849.28i 0.0411204 + 0.285999i 0.999998 + 0.00217750i \(0.000693121\pi\)
−0.958877 + 0.283821i \(0.908398\pi\)
\(464\) 34.9922 + 76.6222i 0.00350102 + 0.00766616i
\(465\) −689.023 202.316i −0.0687155 0.0201767i
\(466\) 3695.60 8092.24i 0.367372 0.804433i
\(467\) −2638.95 + 3045.51i −0.261490 + 0.301776i −0.871279 0.490788i \(-0.836709\pi\)
0.609789 + 0.792564i \(0.291254\pi\)
\(468\) 884.451 6151.49i 0.0873585 0.607592i
\(469\) 4527.87 1329.50i 0.445795 0.130897i
\(470\) 3589.41 + 4142.40i 0.352270 + 0.406542i
\(471\) −5565.83 + 3576.94i −0.544501 + 0.349930i
\(472\) 1958.90 1258.91i 0.191029 0.122767i
\(473\) −6925.26 7992.18i −0.673201 0.776915i
\(474\) 1889.10 554.690i 0.183057 0.0537505i
\(475\) −257.233 + 1789.09i −0.0248477 + 0.172819i
\(476\) 1166.16 1345.81i 0.112291 0.129591i
\(477\) −2984.47 + 6535.07i −0.286477 + 0.627297i
\(478\) −11187.1 3284.83i −1.07047 0.314319i
\(479\) 4831.09 + 10578.6i 0.460831 + 1.00908i 0.987297 + 0.158883i \(0.0507894\pi\)
−0.526466 + 0.850196i \(0.676483\pi\)
\(480\) 41.5664 + 289.101i 0.00395258 + 0.0274908i
\(481\) 16121.4 + 10360.6i 1.52822 + 0.982127i
\(482\) 7585.88 0.716862
\(483\) −137.343 + 1067.78i −0.0129385 + 0.100591i
\(484\) −2968.69 −0.278803
\(485\) 4290.04 + 2757.04i 0.401651 + 0.258125i
\(486\) 955.100 + 6642.87i 0.0891445 + 0.620013i
\(487\) 6990.07 + 15306.1i 0.650411 + 1.42420i 0.891194 + 0.453623i \(0.149869\pi\)
−0.240783 + 0.970579i \(0.577404\pi\)
\(488\) 6343.97 + 1862.76i 0.588479 + 0.172793i
\(489\) 2868.18 6280.45i 0.265243 0.580801i
\(490\) −2058.97 + 2376.18i −0.189826 + 0.219071i
\(491\) −1505.21 + 10469.0i −0.138349 + 0.962237i 0.795853 + 0.605490i \(0.207023\pi\)
−0.934201 + 0.356746i \(0.883886\pi\)
\(492\) 2879.05 845.366i 0.263816 0.0774635i
\(493\) 287.068 + 331.294i 0.0262249 + 0.0302652i
\(494\) −7985.47 + 5131.95i −0.727294 + 0.467404i
\(495\) 2415.72 1552.49i 0.219351 0.140968i
\(496\) −824.364 951.367i −0.0746271 0.0861242i
\(497\) 1825.88 536.127i 0.164793 0.0483875i
\(498\) 81.3252 565.629i 0.00731781 0.0508965i
\(499\) 7082.61 8173.77i 0.635393 0.733283i −0.343160 0.939277i \(-0.611497\pi\)
0.978553 + 0.205994i \(0.0660428\pi\)
\(500\) 207.708 454.816i 0.0185779 0.0406800i
\(501\) −1305.07 383.204i −0.116380 0.0341723i
\(502\) −2101.16 4600.91i −0.186812 0.409061i
\(503\) 546.246 + 3799.23i 0.0484213 + 0.336778i 0.999604 + 0.0281485i \(0.00896112\pi\)
−0.951182 + 0.308629i \(0.900130\pi\)
\(504\) 851.635 + 547.312i 0.0752675 + 0.0483715i
\(505\) 6346.85 0.559269
\(506\) 2296.01 + 4835.85i 0.201719 + 0.424861i
\(507\) 3856.08 0.337780
\(508\) 4714.52 + 3029.84i 0.411757 + 0.264620i
\(509\) −1913.59 13309.3i −0.166637 1.15899i −0.885773 0.464119i \(-0.846371\pi\)
0.719136 0.694870i \(-0.244538\pi\)
\(510\) 631.424 + 1382.63i 0.0548234 + 0.120047i
\(511\) 4663.59 + 1369.35i 0.403728 + 0.118545i
\(512\) −212.692 + 465.732i −0.0183589 + 0.0402004i
\(513\) 4379.13 5053.79i 0.376888 0.434952i
\(514\) −1638.54 + 11396.3i −0.140609 + 0.977954i
\(515\) 6027.52 1769.84i 0.515736 0.151434i
\(516\) 2083.89 + 2404.93i 0.177787 + 0.205177i
\(517\) −11189.1 + 7190.79i −0.951829 + 0.611704i
\(518\) −2626.07 + 1687.67i −0.222747 + 0.143151i
\(519\) 3269.67 + 3773.40i 0.276537 + 0.319140i
\(520\) 2519.47 739.784i 0.212473 0.0623878i
\(521\) 758.135 5272.95i 0.0637515 0.443401i −0.932798 0.360400i \(-0.882640\pi\)
0.996549 0.0830014i \(-0.0264506\pi\)
\(522\) −163.194 + 188.336i −0.0136835 + 0.0157916i
\(523\) 910.279 1993.23i 0.0761065 0.166650i −0.867754 0.496993i \(-0.834437\pi\)
0.943861 + 0.330343i \(0.107165\pi\)
\(524\) −3458.39 1015.47i −0.288321 0.0846588i
\(525\) 101.362 + 221.952i 0.00842628 + 0.0184510i
\(526\) 278.613 + 1937.79i 0.0230952 + 0.160631i
\(527\) −5511.17 3541.81i −0.455541 0.292759i
\(528\) −708.739 −0.0584165
\(529\) −7690.61 + 9428.17i −0.632087 + 0.774897i
\(530\) −3035.49 −0.248780
\(531\) 5795.32 + 3724.43i 0.473626 + 0.304381i
\(532\) −220.053 1530.50i −0.0179333 0.124729i
\(533\) −11206.4 24538.6i −0.910698 1.99415i
\(534\) −2076.69 609.772i −0.168291 0.0494147i
\(535\) −4020.77 + 8804.26i −0.324922 + 0.711479i
\(536\) −4623.93 + 5336.30i −0.372618 + 0.430024i
\(537\) 212.396 1477.25i 0.0170681 0.118711i
\(538\) 2291.08 672.723i 0.183598 0.0539092i
\(539\) −4996.25 5765.98i −0.399265 0.460776i
\(540\) −1556.18 + 1000.10i −0.124014 + 0.0796988i
\(541\) 9613.45 6178.19i 0.763982 0.490982i −0.0997004 0.995018i \(-0.531788\pi\)
0.863683 + 0.504036i \(0.168152\pi\)
\(542\) 1572.78 + 1815.08i 0.124643 + 0.143846i
\(543\) −896.544 + 263.249i −0.0708552 + 0.0208050i
\(544\) −379.199 + 2637.39i −0.0298861 + 0.207862i
\(545\) −2584.31 + 2982.46i −0.203119 + 0.234412i
\(546\) −532.320 + 1165.62i −0.0417238 + 0.0913623i
\(547\) −2216.48 650.816i −0.173253 0.0508718i 0.193955 0.981010i \(-0.437868\pi\)
−0.367209 + 0.930139i \(0.619687\pi\)
\(548\) 193.682 + 424.104i 0.0150980 + 0.0330599i
\(549\) 2783.78 + 19361.6i 0.216410 + 1.50516i
\(550\) 1020.68 + 655.953i 0.0791310 + 0.0508544i
\(551\) 380.632 0.0294291
\(552\) −690.894 1455.16i −0.0532725 0.112202i
\(553\) 2883.31 0.221719
\(554\) 3879.71 + 2493.34i 0.297533 + 0.191213i
\(555\) −379.194 2637.35i −0.0290016 0.201710i
\(556\) 887.347 + 1943.02i 0.0676833 + 0.148206i
\(557\) 2664.69 + 782.425i 0.202705 + 0.0595196i 0.381509 0.924365i \(-0.375405\pi\)
−0.178804 + 0.983885i \(0.557223\pi\)
\(558\) 1547.10 3387.68i 0.117373 0.257010i
\(559\) 18734.8 21621.2i 1.41753 1.63592i
\(560\) −60.8724 + 423.377i −0.00459345 + 0.0319481i
\(561\) −3538.95 + 1039.13i −0.266336 + 0.0782034i
\(562\) 9427.02 + 10879.4i 0.707571 + 0.816580i
\(563\) −11071.5 + 7115.20i −0.828786 + 0.532628i −0.884892 0.465797i \(-0.845768\pi\)
0.0561061 + 0.998425i \(0.482131\pi\)
\(564\) 3366.92 2163.79i 0.251371 0.161546i
\(565\) −5283.32 6097.27i −0.393400 0.454007i
\(566\) 11966.8 3513.78i 0.888699 0.260946i
\(567\) −357.768 + 2488.33i −0.0264989 + 0.184304i
\(568\) −1864.62 + 2151.88i −0.137742 + 0.158963i
\(569\) 8793.72 19255.6i 0.647895 1.41869i −0.245490 0.969399i \(-0.578949\pi\)
0.893385 0.449292i \(-0.148324\pi\)
\(570\) 1266.34 + 371.831i 0.0930545 + 0.0273233i
\(571\) −80.9550 177.267i −0.00593321 0.0129919i 0.906642 0.421900i \(-0.138637\pi\)
−0.912575 + 0.408908i \(0.865910\pi\)
\(572\) 906.801 + 6306.94i 0.0662854 + 0.461025i
\(573\) −3884.42 2496.37i −0.283201 0.182002i
\(574\) 4394.26 0.319535
\(575\) −351.798 + 2735.07i −0.0255148 + 0.198366i
\(576\) −1514.73 −0.109573
\(577\) 4043.66 + 2598.70i 0.291750 + 0.187497i 0.678326 0.734761i \(-0.262706\pi\)
−0.386576 + 0.922258i \(0.626342\pi\)
\(578\) 575.009 + 3999.28i 0.0413793 + 0.287799i
\(579\) 2386.53 + 5225.77i 0.171297 + 0.375088i
\(580\) −101.028 29.6644i −0.00723267 0.00212370i
\(581\) 347.645 761.235i 0.0248240 0.0543569i
\(582\) 2438.46 2814.13i 0.173672 0.200429i
\(583\) 1048.27 7290.87i 0.0744681 0.517937i
\(584\) −6977.99 + 2048.92i −0.494437 + 0.145180i
\(585\) 5087.25 + 5870.99i 0.359541 + 0.414933i
\(586\) −2960.22 + 1902.42i −0.208678 + 0.134109i
\(587\) 3305.64 2124.40i 0.232433 0.149376i −0.419241 0.907875i \(-0.637704\pi\)
0.651674 + 0.758500i \(0.274067\pi\)
\(588\) 1503.43 + 1735.05i 0.105443 + 0.121687i
\(589\) −5457.93 + 1602.59i −0.381817 + 0.112111i
\(590\) −414.233 + 2881.06i −0.0289046 + 0.201036i
\(591\) 2146.65 2477.37i 0.149410 0.172429i
\(592\) 1940.31 4248.68i 0.134706 0.294966i
\(593\) 22800.3 + 6694.77i 1.57891 + 0.463611i 0.949580 0.313525i \(-0.101510\pi\)
0.629333 + 0.777136i \(0.283328\pi\)
\(594\) −1864.70 4083.13i −0.128804 0.282042i
\(595\) 316.787 + 2203.30i 0.0218269 + 0.151809i
\(596\) −5684.65 3653.30i −0.390692 0.251082i
\(597\) 3183.65 0.218255
\(598\) −12065.2 + 8009.95i −0.825057 + 0.547745i
\(599\) −13489.4 −0.920139 −0.460070 0.887883i \(-0.652176\pi\)
−0.460070 + 0.887883i \(0.652176\pi\)
\(600\) −307.135 197.384i −0.0208979 0.0134303i
\(601\) 2537.22 + 17646.8i 0.172206 + 1.19772i 0.874212 + 0.485545i \(0.161379\pi\)
−0.702006 + 0.712171i \(0.747712\pi\)
\(602\) 1935.91 + 4239.06i 0.131066 + 0.286995i
\(603\) −20043.3 5885.25i −1.35361 0.397456i
\(604\) 1205.92 2640.60i 0.0812388 0.177888i
\(605\) 2430.10 2804.48i 0.163302 0.188460i
\(606\) 659.539 4587.19i 0.0442111 0.307495i
\(607\) 4257.05 1249.98i 0.284659 0.0835835i −0.136286 0.990670i \(-0.543517\pi\)
0.420945 + 0.907086i \(0.361698\pi\)
\(608\) 1515.08 + 1748.49i 0.101060 + 0.116630i
\(609\) 43.2264 27.7799i 0.00287622 0.00184844i
\(610\) −6952.74 + 4468.25i −0.461489 + 0.296581i
\(611\) −23563.0 27193.2i −1.56016 1.80052i
\(612\) −7563.53 + 2220.85i −0.499571 + 0.146687i
\(613\) −1805.13 + 12554.9i −0.118937 + 0.827225i 0.839793 + 0.542907i \(0.182676\pi\)
−0.958730 + 0.284318i \(0.908233\pi\)
\(614\) 6787.12 7832.76i 0.446101 0.514828i
\(615\) −1558.12 + 3411.80i −0.102161 + 0.223702i
\(616\) −995.878 292.416i −0.0651381 0.0191263i
\(617\) −1725.96 3779.32i −0.112617 0.246596i 0.844929 0.534879i \(-0.179643\pi\)
−0.957545 + 0.288283i \(0.906916\pi\)
\(618\) −652.798 4540.31i −0.0424909 0.295531i
\(619\) −20651.2 13271.7i −1.34094 0.861769i −0.343925 0.938997i \(-0.611757\pi\)
−0.997013 + 0.0772284i \(0.975393\pi\)
\(620\) 1573.55 0.101928
\(621\) 6565.60 7808.87i 0.424265 0.504604i
\(622\) 5481.04 0.353328
\(623\) −2666.46 1713.63i −0.171476 0.110201i
\(624\) −272.866 1897.83i −0.0175054 0.121753i
\(625\) 259.634 + 568.520i 0.0166166 + 0.0363853i
\(626\) −8581.58 2519.78i −0.547905 0.160880i
\(627\) −1330.41 + 2913.18i −0.0847389 + 0.185552i
\(628\) 9493.80 10956.4i 0.603254 0.696193i
\(629\) 3459.28 24059.8i 0.219285 1.52516i
\(630\) −1214.17 + 356.512i −0.0767834 + 0.0225456i
\(631\) 7336.56 + 8466.85i 0.462859 + 0.534168i 0.938412 0.345520i \(-0.112297\pi\)
−0.475553 + 0.879687i \(0.657752\pi\)
\(632\) −3629.34 + 2332.44i −0.228429 + 0.146803i
\(633\) −2220.74 + 1427.18i −0.139442 + 0.0896136i
\(634\) −6698.61 7730.61i −0.419615 0.484262i
\(635\) −6721.43 + 1973.59i −0.420050 + 0.123338i
\(636\) −315.436 + 2193.90i −0.0196664 + 0.136783i
\(637\) 13516.3 15598.6i 0.840715 0.970237i
\(638\) 106.139 232.412i 0.00658634 0.0144221i
\(639\) −8082.54 2373.25i −0.500376 0.146924i
\(640\) −265.866 582.164i −0.0164207 0.0359564i
\(641\) −431.012 2997.75i −0.0265584 0.184718i 0.972224 0.234053i \(-0.0751989\pi\)
−0.998782 + 0.0493350i \(0.984290\pi\)
\(642\) 5945.47 + 3820.92i 0.365497 + 0.234891i
\(643\) 18035.5 1.10615 0.553073 0.833133i \(-0.313455\pi\)
0.553073 + 0.833133i \(0.313455\pi\)
\(644\) −370.424 2329.76i −0.0226658 0.142555i
\(645\) −3977.73 −0.242826
\(646\) 10128.8 + 6509.41i 0.616895 + 0.396454i
\(647\) 2984.14 + 20755.2i 0.181327 + 1.26116i 0.853629 + 0.520882i \(0.174397\pi\)
−0.672302 + 0.740277i \(0.734694\pi\)
\(648\) −1562.58 3421.58i −0.0947286 0.207427i
\(649\) −6776.89 1989.88i −0.409886 0.120354i
\(650\) −1363.51 + 2985.68i −0.0822792 + 0.180166i
\(651\) −502.865 + 580.337i −0.0302747 + 0.0349389i
\(652\) −2153.09 + 14975.1i −0.129328 + 0.899493i
\(653\) 7363.50 2162.12i 0.441280 0.129572i −0.0535423 0.998566i \(-0.517051\pi\)
0.494823 + 0.868994i \(0.335233\pi\)
\(654\) 1887.02 + 2177.74i 0.112826 + 0.130209i
\(655\) 3790.26 2435.85i 0.226103 0.145308i
\(656\) −5531.24 + 3554.71i −0.329205 + 0.211567i
\(657\) −14089.8 16260.4i −0.836672 0.965571i
\(658\) 5623.75 1651.28i 0.333187 0.0978324i
\(659\) 994.413 6916.30i 0.0587812 0.408833i −0.939093 0.343663i \(-0.888332\pi\)
0.997874 0.0651694i \(-0.0207588\pi\)
\(660\) 580.156 669.536i 0.0342160 0.0394874i
\(661\) 2434.39 5330.57i 0.143248 0.313669i −0.824386 0.566028i \(-0.808479\pi\)
0.967634 + 0.252359i \(0.0812065\pi\)
\(662\) −20680.2 6072.26i −1.21414 0.356503i
\(663\) −4145.04 9076.38i −0.242806 0.531670i
\(664\) 178.202 + 1239.42i 0.0104150 + 0.0724382i
\(665\) 1625.97 + 1044.95i 0.0948158 + 0.0609344i
\(666\) 13818.3 0.803977
\(667\) 580.648 8.63907i 0.0337073 0.000501508i
\(668\) 2980.45 0.172630
\(669\) −5402.81 3472.17i −0.312234 0.200661i
\(670\) −1256.09 8736.33i −0.0724286 0.503752i
\(671\) −8331.16 18242.7i −0.479316 1.04955i
\(672\) 299.671 + 87.9913i 0.0172025 + 0.00505110i
\(673\) −7516.29 + 16458.4i −0.430507 + 0.942680i 0.562737 + 0.826636i \(0.309749\pi\)
−0.993244 + 0.116044i \(0.962979\pi\)
\(674\) −10895.9 + 12574.5i −0.622690 + 0.718623i
\(675\) 329.074 2288.76i 0.0187645 0.130510i
\(676\) −8107.28 + 2380.51i −0.461270 + 0.135441i
\(677\) −9736.54 11236.6i −0.552741 0.637897i 0.408778 0.912634i \(-0.365955\pi\)
−0.961520 + 0.274736i \(0.911409\pi\)
\(678\) −4955.83 + 3184.92i −0.280719 + 0.180407i
\(679\) 4587.46 2948.18i 0.259279 0.166628i
\(680\) −2181.10 2517.13i −0.123002 0.141952i
\(681\) 10186.9 2991.14i 0.573220 0.168313i
\(682\) −543.406 + 3779.47i −0.0305104 + 0.212204i
\(683\) 16447.3 18981.2i 0.921431 1.06339i −0.0763677 0.997080i \(-0.524332\pi\)
0.997799 0.0663088i \(-0.0211223\pi\)
\(684\) −2843.37 + 6226.12i −0.158946 + 0.348043i
\(685\) −559.189 164.193i −0.0311905 0.00915837i
\(686\) 2920.33 + 6394.62i 0.162534 + 0.355901i
\(687\) −589.434 4099.60i −0.0327341 0.227671i
\(688\) −5865.97 3769.83i −0.325055 0.208900i
\(689\) 19926.7 1.10181
\(690\) 1940.22 + 538.480i 0.107048 + 0.0297095i
\(691\) 6309.16 0.347340 0.173670 0.984804i \(-0.444437\pi\)
0.173670 + 0.984804i \(0.444437\pi\)
\(692\) −9203.85 5914.96i −0.505604 0.324932i
\(693\) −436.999 3039.40i −0.0239542 0.166605i
\(694\) 2363.87 + 5176.16i 0.129296 + 0.283119i
\(695\) −2561.91 752.243i −0.139825 0.0410564i
\(696\) −31.9384 + 69.9354i −0.00173940 + 0.00380876i
\(697\) −22407.4 + 25859.5i −1.21771 + 1.40531i
\(698\) −1682.49 + 11702.0i −0.0912367 + 0.634565i
\(699\) 7790.89 2287.61i 0.421571 0.123785i
\(700\) −350.130 404.072i −0.0189052 0.0218178i
\(701\) 690.170 443.545i 0.0371860 0.0238980i −0.521916 0.852997i \(-0.674782\pi\)
0.559102 + 0.829099i \(0.311146\pi\)
\(702\) 10215.7 6565.23i 0.549240 0.352975i
\(703\) −13821.5 15950.8i −0.741516 0.855755i
\(704\) 1490.10 437.533i 0.0797732 0.0234235i
\(705\) −711.978 + 4951.91i −0.0380349 + 0.264539i
\(706\) 6283.75 7251.83i 0.334975 0.386581i
\(707\) 2819.36 6173.54i 0.149976 0.328401i
\(708\) 2039.24 + 598.775i 0.108248 + 0.0317844i
\(709\) −12370.2 27087.0i −0.655251 1.43480i −0.886882 0.461995i \(-0.847134\pi\)
0.231631 0.972804i \(-0.425594\pi\)
\(710\) −506.525 3522.96i −0.0267740 0.186217i
\(711\) −10737.3 6900.42i −0.566356 0.363975i
\(712\) 4742.62 0.249631
\(713\) −8289.61 + 2568.61i −0.435411 + 0.134916i
\(714\) 1625.36 0.0851927
\(715\) −6700.37 4306.06i −0.350461 0.225228i
\(716\) 465.409 + 3236.99i 0.0242921 + 0.168955i
\(717\) −4420.79 9680.19i −0.230262 0.504203i
\(718\) −19180.2 5631.80i −0.996932 0.292726i
\(719\) −10783.8 + 23613.1i −0.559341 + 1.22479i 0.392940 + 0.919564i \(0.371458\pi\)
−0.952281 + 0.305222i \(0.901269\pi\)
\(720\) 1239.92 1430.95i 0.0641795 0.0740671i
\(721\) 955.998 6649.12i 0.0493804 0.343448i
\(722\) −3131.34 + 919.444i −0.161408 + 0.0473936i
\(723\) 4534.16 + 5232.70i 0.233233 + 0.269165i
\(724\) 1722.44 1106.95i 0.0884172 0.0568223i
\(725\) 110.723 71.1570i 0.00567191 0.00364511i
\(726\) −1774.42 2047.79i −0.0907091 0.104684i
\(727\) 10163.0 2984.13i 0.518466 0.152235i −0.0120221 0.999928i \(-0.503827\pi\)
0.530488 + 0.847692i \(0.322009\pi\)
\(728\) 399.603 2779.30i 0.0203438 0.141494i
\(729\) 4302.16 4964.96i 0.218572 0.252246i
\(730\) 3776.42 8269.21i 0.191468 0.419257i
\(731\) −34817.8 10223.4i −1.76168 0.517275i
\(732\) 2506.94 + 5489.43i 0.126583 + 0.277179i
\(733\) −1880.66 13080.3i −0.0947666 0.659116i −0.980731 0.195363i \(-0.937411\pi\)
0.885964 0.463753i \(-0.153498\pi\)
\(734\) 1004.01 + 645.237i 0.0504886 + 0.0324470i
\(735\) −2869.75 −0.144017
\(736\) 2350.91 + 2632.91i 0.117739 + 0.131862i
\(737\) 21417.4 1.07045
\(738\) −16364.0 10516.5i −0.816214 0.524549i
\(739\) 442.520 + 3077.80i 0.0220276 + 0.153205i 0.997867 0.0652855i \(-0.0207958\pi\)
−0.975839 + 0.218491i \(0.929887\pi\)
\(740\) 2425.39 + 5310.86i 0.120485 + 0.263826i
\(741\) −8313.00 2440.92i −0.412126 0.121011i
\(742\) −1348.41 + 2952.60i −0.0667138 + 0.146083i
\(743\) −8942.25 + 10319.9i −0.441533 + 0.509557i −0.932276 0.361748i \(-0.882180\pi\)
0.490743 + 0.871305i \(0.336726\pi\)
\(744\) 163.517 1137.28i 0.00805755 0.0560415i
\(745\) 8104.54 2379.71i 0.398560 0.117028i
\(746\) 6427.72 + 7417.98i 0.315463 + 0.364064i
\(747\) −3116.42 + 2002.80i −0.152642 + 0.0980972i
\(748\) 6799.04 4369.48i 0.332350 0.213588i
\(749\) 6777.77 + 7821.96i 0.330647 + 0.381586i
\(750\) 437.879 128.573i 0.0213188 0.00625975i
\(751\) 2415.52 16800.3i 0.117368 0.816314i −0.843067 0.537809i \(-0.819252\pi\)
0.960435 0.278505i \(-0.0898388\pi\)
\(752\) −5743.06 + 6627.84i −0.278494 + 0.321399i
\(753\) 1917.80 4199.39i 0.0928132 0.203233i
\(754\) 663.206 + 194.735i 0.0320326 + 0.00940561i
\(755\) 1507.40 + 3300.75i 0.0726622 + 0.159108i
\(756\) 281.510 + 1957.95i 0.0135429 + 0.0941929i
\(757\) 5678.47 + 3649.33i 0.272639 + 0.175214i 0.669815 0.742528i \(-0.266373\pi\)
−0.397176 + 0.917742i \(0.630010\pi\)
\(758\) −19464.7 −0.932706
\(759\) −1963.39 + 4474.21i −0.0938955 + 0.213970i
\(760\) −2891.98 −0.138031
\(761\) −11718.0 7530.67i −0.558181 0.358721i 0.230932 0.972970i \(-0.425823\pi\)
−0.789112 + 0.614249i \(0.789459\pi\)
\(762\) 727.952 + 5063.01i 0.0346075 + 0.240700i
\(763\) 1753.03 + 3838.60i 0.0831768 + 0.182132i
\(764\) 9707.98 + 2850.52i 0.459715 + 0.134985i
\(765\) 4093.31 8963.11i 0.193456 0.423610i
\(766\) 1498.17 1728.98i 0.0706671 0.0815542i
\(767\) 2719.27 18913.0i 0.128015 0.890361i
\(768\) −448.388 + 131.659i −0.0210675 + 0.00618596i
\(769\) 18766.8 + 21658.1i 0.880039 + 1.01562i 0.999740 + 0.0228088i \(0.00726090\pi\)
−0.119701 + 0.992810i \(0.538194\pi\)
\(770\) 1091.44 701.428i 0.0510817 0.0328282i
\(771\) −8840.47 + 5681.43i −0.412947