Properties

Label 74.4.f.b.71.2
Level $74$
Weight $4$
Character 74.71
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 74 = 2 \cdot 37 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 74.f (of order \(9\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.36614134042\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 71.2
Character \(\chi\) \(=\) 74.71
Dual form 74.4.f.b.49.2

$q$-expansion

\(f(q)\) \(=\) \(q+(1.53209 + 1.28558i) q^{2} +(-2.66631 + 2.23730i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-17.8476 - 6.49601i) q^{5} -6.96124 q^{6} +(-11.9434 - 4.34706i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.58480 + 14.6591i) q^{9} +O(q^{10})\) \(q+(1.53209 + 1.28558i) q^{2} +(-2.66631 + 2.23730i) q^{3} +(0.694593 + 3.93923i) q^{4} +(-17.8476 - 6.49601i) q^{5} -6.96124 q^{6} +(-11.9434 - 4.34706i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(-2.58480 + 14.6591i) q^{9} +(-18.9931 - 32.8969i) q^{10} +(8.70606 - 15.0793i) q^{11} +(-10.6652 - 8.94920i) q^{12} +(1.74549 + 9.89915i) q^{13} +(-12.7099 - 22.0143i) q^{14} +(62.1209 - 22.6101i) q^{15} +(-15.0351 + 5.47232i) q^{16} +(-3.12015 + 17.6953i) q^{17} +(-22.8056 + 19.1361i) q^{18} +(-113.552 + 95.2818i) q^{19} +(13.1924 - 74.8180i) q^{20} +(41.5706 - 15.1305i) q^{21} +(32.7241 - 11.9106i) q^{22} +(19.8475 + 34.3769i) q^{23} +(-4.83523 - 27.4219i) q^{24} +(180.584 + 151.528i) q^{25} +(-10.0519 + 17.4103i) q^{26} +(-72.8934 - 126.255i) q^{27} +(8.82823 - 50.0674i) q^{28} +(38.7705 - 67.1525i) q^{29} +(124.242 + 45.2203i) q^{30} +23.0044 q^{31} +(-30.0702 - 10.9446i) q^{32} +(10.5239 + 59.6843i) q^{33} +(-27.5290 + 23.0995i) q^{34} +(184.924 + 155.169i) q^{35} -59.5411 q^{36} +(78.2232 + 211.031i) q^{37} -296.464 q^{38} +(-26.8014 - 22.4890i) q^{39} +(116.396 - 97.6680i) q^{40} +(-55.2449 - 313.310i) q^{41} +(83.1412 + 30.2609i) q^{42} -232.333 q^{43} +(65.4482 + 23.8212i) q^{44} +(141.358 - 244.840i) q^{45} +(-13.7859 + 78.1840i) q^{46} +(210.436 + 364.486i) q^{47} +(27.8450 - 48.2289i) q^{48} +(-139.004 - 116.639i) q^{49} +(81.8703 + 464.310i) q^{50} +(-31.2703 - 54.1618i) q^{51} +(-37.7826 + 13.7518i) q^{52} +(398.264 - 144.956i) q^{53} +(50.6312 - 287.144i) q^{54} +(-253.338 + 212.576i) q^{55} +(77.8910 - 65.3583i) q^{56} +(89.5921 - 508.102i) q^{57} +(145.729 - 53.0412i) q^{58} +(-610.887 + 222.345i) q^{59} +(132.215 + 229.004i) q^{60} +(-52.4813 - 297.636i) q^{61} +(35.2448 + 29.5739i) q^{62} +(94.5955 - 163.844i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(33.1521 - 188.015i) q^{65} +(-60.6050 + 104.971i) q^{66} +(-754.228 - 274.517i) q^{67} -71.8730 q^{68} +(-129.831 - 47.2547i) q^{69} +(83.8376 + 475.467i) q^{70} +(-234.195 + 196.513i) q^{71} +(-91.2223 - 76.5446i) q^{72} -994.976 q^{73} +(-151.451 + 423.880i) q^{74} -820.509 q^{75} +(-454.210 - 381.127i) q^{76} +(-169.531 + 142.253i) q^{77} +(-12.1508 - 68.9104i) q^{78} +(698.816 + 254.348i) q^{79} +303.889 q^{80} +(99.1621 + 36.0920i) q^{81} +(318.143 - 551.040i) q^{82} +(-75.2616 + 426.830i) q^{83} +(88.4770 + 153.247i) q^{84} +(170.636 - 295.550i) q^{85} +(-355.955 - 298.682i) q^{86} +(46.8661 + 265.791i) q^{87} +(69.6485 + 120.635i) q^{88} +(1110.61 - 404.227i) q^{89} +(531.334 - 193.390i) q^{90} +(22.1850 - 125.818i) q^{91} +(-121.633 + 102.062i) q^{92} +(-61.3370 + 51.4678i) q^{93} +(-146.167 + 828.956i) q^{94} +(2645.60 - 962.918i) q^{95} +(104.663 - 38.0942i) q^{96} +(912.860 + 1581.12i) q^{97} +(-63.0195 - 357.401i) q^{98} +(198.547 + 166.600i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + O(q^{10}) \) \( 30 q + 6 q^{3} - 6 q^{5} - 36 q^{6} - 75 q^{7} - 120 q^{8} - 48 q^{9} + 54 q^{10} - 21 q^{11} + 24 q^{12} - 159 q^{13} + 6 q^{14} - 69 q^{15} - 171 q^{17} + 192 q^{18} - 45 q^{19} - 24 q^{20} + 579 q^{21} + 42 q^{22} + 459 q^{23} + 48 q^{24} - 204 q^{25} + 264 q^{26} + 435 q^{27} + 96 q^{28} + 273 q^{29} - 138 q^{30} - 258 q^{31} - 318 q^{33} - 558 q^{34} - 753 q^{35} + 1296 q^{36} - 891 q^{37} - 2556 q^{38} - 504 q^{39} + 96 q^{40} + 648 q^{41} + 1158 q^{42} - 216 q^{43} + 84 q^{44} + 1731 q^{45} - 6 q^{46} + 48 q^{47} + 144 q^{48} + 1731 q^{49} + 240 q^{50} + 972 q^{51} + 48 q^{52} - 135 q^{53} + 360 q^{54} + 765 q^{55} + 408 q^{56} - 405 q^{57} - 762 q^{58} + 1836 q^{59} + 108 q^{60} - 684 q^{61} - 204 q^{62} - 3264 q^{63} - 960 q^{64} - 1350 q^{65} + 252 q^{66} + 1095 q^{67} - 432 q^{68} - 5823 q^{69} - 1146 q^{70} + 4179 q^{71} + 768 q^{72} - 2658 q^{73} - 1692 q^{74} - 10416 q^{75} - 180 q^{76} + 267 q^{77} + 1530 q^{78} + 4866 q^{79} - 864 q^{80} - 2076 q^{81} + 1800 q^{82} - 186 q^{83} + 504 q^{84} + 753 q^{85} + 648 q^{86} - 525 q^{87} - 168 q^{88} + 687 q^{89} + 768 q^{90} + 3990 q^{91} + 132 q^{92} + 3753 q^{93} + 6210 q^{94} + 9000 q^{95} - 384 q^{96} + 7428 q^{97} - 1542 q^{98} + 6324 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.53209 + 1.28558i 0.541675 + 0.454519i
\(3\) −2.66631 + 2.23730i −0.513132 + 0.430569i −0.862230 0.506518i \(-0.830933\pi\)
0.349098 + 0.937086i \(0.386488\pi\)
\(4\) 0.694593 + 3.93923i 0.0868241 + 0.492404i
\(5\) −17.8476 6.49601i −1.59634 0.581021i −0.617667 0.786440i \(-0.711922\pi\)
−0.978674 + 0.205419i \(0.934144\pi\)
\(6\) −6.96124 −0.473653
\(7\) −11.9434 4.34706i −0.644885 0.234719i −0.00118793 0.999999i \(-0.500378\pi\)
−0.643697 + 0.765280i \(0.722600\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) −2.58480 + 14.6591i −0.0957334 + 0.542931i
\(10\) −18.9931 32.8969i −0.600613 1.04029i
\(11\) 8.70606 15.0793i 0.238634 0.413327i −0.721688 0.692218i \(-0.756634\pi\)
0.960323 + 0.278891i \(0.0899670\pi\)
\(12\) −10.6652 8.94920i −0.256566 0.215284i
\(13\) 1.74549 + 9.89915i 0.0372393 + 0.211195i 0.997750 0.0670497i \(-0.0213586\pi\)
−0.960510 + 0.278244i \(0.910248\pi\)
\(14\) −12.7099 22.0143i −0.242634 0.420254i
\(15\) 62.1209 22.6101i 1.06930 0.389194i
\(16\) −15.0351 + 5.47232i −0.234923 + 0.0855050i
\(17\) −3.12015 + 17.6953i −0.0445146 + 0.252455i −0.998942 0.0459884i \(-0.985356\pi\)
0.954427 + 0.298443i \(0.0964674\pi\)
\(18\) −22.8056 + 19.1361i −0.298629 + 0.250580i
\(19\) −113.552 + 95.2818i −1.37109 + 1.15048i −0.398711 + 0.917076i \(0.630542\pi\)
−0.972380 + 0.233405i \(0.925013\pi\)
\(20\) 13.1924 74.8180i 0.147496 0.836491i
\(21\) 41.5706 15.1305i 0.431974 0.157226i
\(22\) 32.7241 11.9106i 0.317127 0.115425i
\(23\) 19.8475 + 34.3769i 0.179935 + 0.311656i 0.941858 0.336011i \(-0.109078\pi\)
−0.761923 + 0.647667i \(0.775745\pi\)
\(24\) −4.83523 27.4219i −0.0411245 0.233228i
\(25\) 180.584 + 151.528i 1.44468 + 1.21223i
\(26\) −10.0519 + 17.4103i −0.0758205 + 0.131325i
\(27\) −72.8934 126.255i −0.519568 0.899918i
\(28\) 8.82823 50.0674i 0.0595850 0.337923i
\(29\) 38.7705 67.1525i 0.248259 0.429997i −0.714784 0.699345i \(-0.753475\pi\)
0.963043 + 0.269349i \(0.0868084\pi\)
\(30\) 124.242 + 45.2203i 0.756111 + 0.275202i
\(31\) 23.0044 0.133281 0.0666406 0.997777i \(-0.478772\pi\)
0.0666406 + 0.997777i \(0.478772\pi\)
\(32\) −30.0702 10.9446i −0.166116 0.0604612i
\(33\) 10.5239 + 59.6843i 0.0555147 + 0.314839i
\(34\) −27.5290 + 23.0995i −0.138858 + 0.116516i
\(35\) 184.924 + 155.169i 0.893080 + 0.749383i
\(36\) −59.5411 −0.275653
\(37\) 78.2232 + 211.031i 0.347563 + 0.937657i
\(38\) −296.464 −1.26560
\(39\) −26.8014 22.4890i −0.110042 0.0923366i
\(40\) 116.396 97.6680i 0.460096 0.386067i
\(41\) −55.2449 313.310i −0.210434 1.19343i −0.888656 0.458575i \(-0.848360\pi\)
0.678221 0.734858i \(-0.262751\pi\)
\(42\) 83.1412 + 30.2609i 0.305451 + 0.111175i
\(43\) −232.333 −0.823964 −0.411982 0.911192i \(-0.635163\pi\)
−0.411982 + 0.911192i \(0.635163\pi\)
\(44\) 65.4482 + 23.8212i 0.224243 + 0.0816177i
\(45\) 141.358 244.840i 0.468277 0.811080i
\(46\) −13.7859 + 78.1840i −0.0441875 + 0.250600i
\(47\) 210.436 + 364.486i 0.653090 + 1.13119i 0.982369 + 0.186953i \(0.0598612\pi\)
−0.329278 + 0.944233i \(0.606805\pi\)
\(48\) 27.8450 48.2289i 0.0837307 0.145026i
\(49\) −139.004 116.639i −0.405261 0.340054i
\(50\) 81.8703 + 464.310i 0.231564 + 1.31327i
\(51\) −31.2703 54.1618i −0.0858573 0.148709i
\(52\) −37.7826 + 13.7518i −0.100760 + 0.0366736i
\(53\) 398.264 144.956i 1.03218 0.375684i 0.230272 0.973126i \(-0.426038\pi\)
0.801912 + 0.597442i \(0.203816\pi\)
\(54\) 50.6312 287.144i 0.127593 0.723617i
\(55\) −253.338 + 212.576i −0.621093 + 0.521159i
\(56\) 77.8910 65.3583i 0.185868 0.155962i
\(57\) 89.5921 508.102i 0.208189 1.18070i
\(58\) 145.729 53.0412i 0.329917 0.120080i
\(59\) −610.887 + 222.345i −1.34798 + 0.490624i −0.912316 0.409487i \(-0.865708\pi\)
−0.435661 + 0.900111i \(0.643485\pi\)
\(60\) 132.215 + 229.004i 0.284482 + 0.492737i
\(61\) −52.4813 297.636i −0.110156 0.624728i −0.989035 0.147682i \(-0.952819\pi\)
0.878879 0.477046i \(-0.158292\pi\)
\(62\) 35.2448 + 29.5739i 0.0721951 + 0.0605789i
\(63\) 94.5955 163.844i 0.189173 0.327658i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) 33.1521 188.015i 0.0632618 0.358775i
\(66\) −60.6050 + 104.971i −0.113030 + 0.195773i
\(67\) −754.228 274.517i −1.37528 0.500560i −0.454535 0.890729i \(-0.650195\pi\)
−0.920744 + 0.390168i \(0.872417\pi\)
\(68\) −71.8730 −0.128175
\(69\) −129.831 47.2547i −0.226519 0.0824463i
\(70\) 83.8376 + 475.467i 0.143150 + 0.811845i
\(71\) −234.195 + 196.513i −0.391462 + 0.328476i −0.817182 0.576379i \(-0.804465\pi\)
0.425720 + 0.904855i \(0.360021\pi\)
\(72\) −91.2223 76.5446i −0.149315 0.125290i
\(73\) −994.976 −1.59525 −0.797624 0.603155i \(-0.793910\pi\)
−0.797624 + 0.603155i \(0.793910\pi\)
\(74\) −151.451 + 423.880i −0.237917 + 0.665879i
\(75\) −820.509 −1.26326
\(76\) −454.210 381.127i −0.685545 0.575241i
\(77\) −169.531 + 142.253i −0.250907 + 0.210536i
\(78\) −12.1508 68.9104i −0.0176385 0.100033i
\(79\) 698.816 + 254.348i 0.995227 + 0.362233i 0.787742 0.616005i \(-0.211250\pi\)
0.207485 + 0.978238i \(0.433472\pi\)
\(80\) 303.889 0.424698
\(81\) 99.1621 + 36.0920i 0.136025 + 0.0495090i
\(82\) 318.143 551.040i 0.428451 0.742099i
\(83\) −75.2616 + 426.830i −0.0995305 + 0.564466i 0.893734 + 0.448597i \(0.148076\pi\)
−0.993265 + 0.115868i \(0.963035\pi\)
\(84\) 88.4770 + 153.247i 0.114924 + 0.199055i
\(85\) 170.636 295.550i 0.217742 0.377140i
\(86\) −355.955 298.682i −0.446321 0.374508i
\(87\) 46.8661 + 265.791i 0.0577537 + 0.327537i
\(88\) 69.6485 + 120.635i 0.0843699 + 0.146133i
\(89\) 1110.61 404.227i 1.32274 0.481438i 0.418405 0.908261i \(-0.362589\pi\)
0.904335 + 0.426822i \(0.140367\pi\)
\(90\) 531.334 193.390i 0.622306 0.226501i
\(91\) 22.1850 125.818i 0.0255563 0.144937i
\(92\) −121.633 + 102.062i −0.137838 + 0.115660i
\(93\) −61.3370 + 51.4678i −0.0683908 + 0.0573867i
\(94\) −146.167 + 828.956i −0.160383 + 0.909578i
\(95\) 2645.60 962.918i 2.85718 1.03993i
\(96\) 104.663 38.0942i 0.111272 0.0404997i
\(97\) 912.860 + 1581.12i 0.955535 + 1.65504i 0.733139 + 0.680079i \(0.238055\pi\)
0.222397 + 0.974956i \(0.428612\pi\)
\(98\) −63.0195 357.401i −0.0649585 0.368398i
\(99\) 198.547 + 166.600i 0.201563 + 0.169131i
\(100\) −471.473 + 816.614i −0.471473 + 0.816614i
\(101\) −887.152 1536.59i −0.874009 1.51383i −0.857814 0.513960i \(-0.828178\pi\)
−0.0161953 0.999869i \(-0.505155\pi\)
\(102\) 21.7201 123.181i 0.0210845 0.119576i
\(103\) −673.842 + 1167.13i −0.644618 + 1.11651i 0.339772 + 0.940508i \(0.389650\pi\)
−0.984390 + 0.176003i \(0.943683\pi\)
\(104\) −75.5653 27.5035i −0.0712479 0.0259321i
\(105\) −840.224 −0.780929
\(106\) 796.528 + 289.912i 0.729864 + 0.265649i
\(107\) −162.454 921.320i −0.146775 0.832405i −0.965924 0.258824i \(-0.916665\pi\)
0.819149 0.573581i \(-0.194446\pi\)
\(108\) 446.717 374.840i 0.398012 0.333972i
\(109\) 1312.12 + 1101.00i 1.15301 + 0.967492i 0.999786 0.0206995i \(-0.00658933\pi\)
0.153226 + 0.988191i \(0.451034\pi\)
\(110\) −661.419 −0.573307
\(111\) −680.707 387.666i −0.582071 0.331492i
\(112\) 203.359 0.171568
\(113\) 1186.29 + 995.416i 0.987582 + 0.828680i 0.985216 0.171317i \(-0.0548023\pi\)
0.00236644 + 0.999997i \(0.499247\pi\)
\(114\) 790.466 663.280i 0.649421 0.544929i
\(115\) −130.919 742.476i −0.106158 0.602055i
\(116\) 291.459 + 106.082i 0.233287 + 0.0849095i
\(117\) −149.625 −0.118229
\(118\) −1221.77 444.689i −0.953164 0.346923i
\(119\) 114.188 197.779i 0.0879628 0.152356i
\(120\) −91.8358 + 520.827i −0.0698618 + 0.396206i
\(121\) 513.909 + 890.116i 0.386107 + 0.668758i
\(122\) 302.228 523.474i 0.224282 0.388468i
\(123\) 848.268 + 711.781i 0.621835 + 0.521782i
\(124\) 15.9787 + 90.6198i 0.0115720 + 0.0656282i
\(125\) −1051.61 1821.44i −0.752471 1.30332i
\(126\) 355.563 129.414i 0.251397 0.0915011i
\(127\) −1330.55 + 484.280i −0.929663 + 0.338370i −0.762076 0.647488i \(-0.775820\pi\)
−0.167587 + 0.985857i \(0.553597\pi\)
\(128\) 22.2270 126.055i 0.0153485 0.0870455i
\(129\) 619.472 519.799i 0.422802 0.354773i
\(130\) 292.500 245.436i 0.197338 0.165586i
\(131\) 107.032 607.009i 0.0713850 0.404844i −0.928087 0.372363i \(-0.878548\pi\)
0.999472 0.0324818i \(-0.0103411\pi\)
\(132\) −227.800 + 82.9125i −0.150208 + 0.0546713i
\(133\) 1770.40 644.374i 1.15424 0.420108i
\(134\) −802.633 1390.20i −0.517440 0.896232i
\(135\) 480.821 + 2726.87i 0.306537 + 1.73846i
\(136\) −110.116 92.3981i −0.0694291 0.0582579i
\(137\) −594.952 + 1030.49i −0.371023 + 0.642631i −0.989723 0.142996i \(-0.954326\pi\)
0.618700 + 0.785627i \(0.287660\pi\)
\(138\) −138.163 239.306i −0.0852264 0.147617i
\(139\) −151.924 + 861.606i −0.0927054 + 0.525759i 0.902721 + 0.430227i \(0.141566\pi\)
−0.995426 + 0.0955320i \(0.969545\pi\)
\(140\) −482.801 + 836.236i −0.291458 + 0.504821i
\(141\) −1376.55 501.024i −0.822175 0.299247i
\(142\) −611.439 −0.361344
\(143\) 164.469 + 59.8618i 0.0961789 + 0.0350063i
\(144\) −41.3568 234.546i −0.0239333 0.135733i
\(145\) −1128.19 + 946.660i −0.646143 + 0.542178i
\(146\) −1524.39 1279.12i −0.864106 0.725071i
\(147\) 631.584 0.354369
\(148\) −776.967 + 454.720i −0.431529 + 0.252552i
\(149\) −469.821 −0.258317 −0.129158 0.991624i \(-0.541228\pi\)
−0.129158 + 0.991624i \(0.541228\pi\)
\(150\) −1257.09 1054.83i −0.684274 0.574174i
\(151\) 146.323 122.779i 0.0788581 0.0661698i −0.602507 0.798114i \(-0.705831\pi\)
0.681365 + 0.731944i \(0.261387\pi\)
\(152\) −205.922 1167.84i −0.109885 0.623188i
\(153\) −251.332 91.4775i −0.132804 0.0483367i
\(154\) −442.614 −0.231603
\(155\) −410.575 149.437i −0.212762 0.0774392i
\(156\) 69.9734 121.198i 0.0359126 0.0622024i
\(157\) −188.435 + 1068.67i −0.0957884 + 0.543243i 0.898714 + 0.438534i \(0.144502\pi\)
−0.994503 + 0.104709i \(0.966609\pi\)
\(158\) 743.664 + 1288.06i 0.374448 + 0.648562i
\(159\) −737.585 + 1277.53i −0.367889 + 0.637202i
\(160\) 465.585 + 390.672i 0.230048 + 0.193033i
\(161\) −87.6093 496.857i −0.0428856 0.243216i
\(162\) 105.526 + 182.777i 0.0511785 + 0.0886437i
\(163\) −3571.14 + 1299.79i −1.71603 + 0.624585i −0.997484 0.0708909i \(-0.977416\pi\)
−0.718549 + 0.695476i \(0.755194\pi\)
\(164\) 1195.83 435.245i 0.569380 0.207237i
\(165\) 199.882 1133.59i 0.0943078 0.534846i
\(166\) −664.029 + 557.187i −0.310474 + 0.260518i
\(167\) −788.658 + 661.763i −0.365438 + 0.306639i −0.806954 0.590614i \(-0.798885\pi\)
0.441516 + 0.897254i \(0.354441\pi\)
\(168\) −61.4555 + 348.531i −0.0282226 + 0.160058i
\(169\) 1969.56 716.861i 0.896476 0.326291i
\(170\) 641.382 233.444i 0.289363 0.105320i
\(171\) −1103.24 1910.87i −0.493373 0.854547i
\(172\) −161.377 915.213i −0.0715399 0.405723i
\(173\) 1427.17 + 1197.54i 0.627202 + 0.526285i 0.900058 0.435770i \(-0.143524\pi\)
−0.272856 + 0.962055i \(0.587968\pi\)
\(174\) −269.891 + 467.465i −0.117588 + 0.203669i
\(175\) −1498.10 2594.78i −0.647117 1.12084i
\(176\) −48.3773 + 274.362i −0.0207192 + 0.117504i
\(177\) 1131.36 1959.58i 0.480443 0.832151i
\(178\) 2221.21 + 808.454i 0.935319 + 0.340428i
\(179\) 1376.17 0.574637 0.287319 0.957835i \(-0.407236\pi\)
0.287319 + 0.957835i \(0.407236\pi\)
\(180\) 1062.67 + 386.780i 0.440037 + 0.160160i
\(181\) −457.256 2593.23i −0.187777 1.06494i −0.922335 0.386390i \(-0.873722\pi\)
0.734559 0.678545i \(-0.237389\pi\)
\(182\) 195.737 164.243i 0.0797199 0.0668930i
\(183\) 805.833 + 676.174i 0.325513 + 0.273138i
\(184\) −317.560 −0.127233
\(185\) −25.2401 4274.55i −0.0100308 1.69876i
\(186\) −160.139 −0.0631290
\(187\) 239.669 + 201.106i 0.0937236 + 0.0786435i
\(188\) −1289.63 + 1082.13i −0.500296 + 0.419798i
\(189\) 321.760 + 1824.79i 0.123834 + 0.702296i
\(190\) 5291.19 + 1925.84i 2.02033 + 0.735341i
\(191\) 222.266 0.0842020 0.0421010 0.999113i \(-0.486595\pi\)
0.0421010 + 0.999113i \(0.486595\pi\)
\(192\) 209.326 + 76.1883i 0.0786811 + 0.0286376i
\(193\) 386.250 669.005i 0.144057 0.249513i −0.784964 0.619541i \(-0.787319\pi\)
0.929021 + 0.370028i \(0.120652\pi\)
\(194\) −634.066 + 3595.97i −0.234656 + 1.33080i
\(195\) 332.252 + 575.478i 0.122016 + 0.211338i
\(196\) 362.915 628.587i 0.132258 0.229077i
\(197\) −1831.42 1536.74i −0.662351 0.555779i 0.248439 0.968647i \(-0.420082\pi\)
−0.910791 + 0.412869i \(0.864527\pi\)
\(198\) 90.0138 + 510.493i 0.0323081 + 0.183228i
\(199\) −1590.38 2754.62i −0.566529 0.981257i −0.996906 0.0786076i \(-0.974953\pi\)
0.430377 0.902649i \(-0.358381\pi\)
\(200\) −1772.16 + 645.012i −0.626552 + 0.228046i
\(201\) 2625.18 955.489i 0.921225 0.335298i
\(202\) 616.210 3494.70i 0.214635 1.21726i
\(203\) −754.969 + 633.494i −0.261027 + 0.219027i
\(204\) 191.636 160.801i 0.0657705 0.0551880i
\(205\) −1049.27 + 5950.71i −0.357484 + 2.02739i
\(206\) −2532.82 + 921.871i −0.856650 + 0.311795i
\(207\) −555.238 + 202.090i −0.186433 + 0.0678562i
\(208\) −80.4149 139.283i −0.0268066 0.0464304i
\(209\) 448.193 + 2541.83i 0.148336 + 0.841253i
\(210\) −1287.30 1080.17i −0.423010 0.354947i
\(211\) −768.628 + 1331.30i −0.250780 + 0.434364i −0.963741 0.266840i \(-0.914020\pi\)
0.712961 + 0.701204i \(0.247354\pi\)
\(212\) 847.647 + 1468.17i 0.274607 + 0.475633i
\(213\) 184.778 1047.93i 0.0594403 0.337103i
\(214\) 935.532 1620.39i 0.298840 0.517605i
\(215\) 4146.59 + 1509.24i 1.31533 + 0.478740i
\(216\) 1166.29 0.367390
\(217\) −274.752 100.002i −0.0859511 0.0312836i
\(218\) 594.867 + 3373.66i 0.184814 + 1.04813i
\(219\) 2652.91 2226.06i 0.818572 0.686864i
\(220\) −1013.35 850.304i −0.310546 0.260579i
\(221\) −180.614 −0.0549748
\(222\) −544.531 1469.04i −0.164624 0.444123i
\(223\) 5022.11 1.50810 0.754048 0.656819i \(-0.228098\pi\)
0.754048 + 0.656819i \(0.228098\pi\)
\(224\) 311.564 + 261.433i 0.0929342 + 0.0779810i
\(225\) −2688.05 + 2255.54i −0.796459 + 0.668309i
\(226\) 537.820 + 3050.13i 0.158298 + 0.897751i
\(227\) 2219.75 + 807.923i 0.649031 + 0.236228i 0.645493 0.763766i \(-0.276652\pi\)
0.00353728 + 0.999994i \(0.498874\pi\)
\(228\) 2063.76 0.599456
\(229\) 836.564 + 304.485i 0.241405 + 0.0878642i 0.459889 0.887976i \(-0.347889\pi\)
−0.218484 + 0.975840i \(0.570111\pi\)
\(230\) 753.930 1305.85i 0.216142 0.374369i
\(231\) 133.759 758.584i 0.0380982 0.216066i
\(232\) 310.164 + 537.220i 0.0877727 + 0.152027i
\(233\) −2504.51 + 4337.93i −0.704188 + 1.21969i 0.262796 + 0.964851i \(0.415355\pi\)
−0.966984 + 0.254837i \(0.917978\pi\)
\(234\) −229.238 192.354i −0.0640418 0.0537374i
\(235\) −1388.08 7872.21i −0.385313 2.18522i
\(236\) −1300.18 2251.98i −0.358622 0.621151i
\(237\) −2432.31 + 885.289i −0.666648 + 0.242640i
\(238\) 429.205 156.218i 0.116896 0.0425467i
\(239\) 83.2757 472.280i 0.0225383 0.127821i −0.971463 0.237193i \(-0.923773\pi\)
0.994001 + 0.109372i \(0.0348838\pi\)
\(240\) −810.262 + 679.891i −0.217926 + 0.182861i
\(241\) −4762.49 + 3996.21i −1.27294 + 1.06813i −0.278767 + 0.960359i \(0.589926\pi\)
−0.994176 + 0.107767i \(0.965630\pi\)
\(242\) −356.957 + 2024.41i −0.0948186 + 0.537743i
\(243\) 3353.71 1220.65i 0.885353 0.322242i
\(244\) 1136.00 413.472i 0.298054 0.108483i
\(245\) 1723.22 + 2984.70i 0.449356 + 0.778307i
\(246\) 384.573 + 2181.02i 0.0996728 + 0.565272i
\(247\) −1141.41 957.760i −0.294034 0.246724i
\(248\) −92.0177 + 159.379i −0.0235610 + 0.0408089i
\(249\) −754.275 1306.44i −0.191969 0.332500i
\(250\) 730.441 4142.54i 0.184789 1.04799i
\(251\) 1575.17 2728.27i 0.396111 0.686084i −0.597131 0.802143i \(-0.703693\pi\)
0.993242 + 0.116059i \(0.0370262\pi\)
\(252\) 711.126 + 258.829i 0.177765 + 0.0647011i
\(253\) 691.175 0.171754
\(254\) −2661.10 968.561i −0.657371 0.239263i
\(255\) 206.266 + 1169.79i 0.0506544 + 0.287276i
\(256\) 196.107 164.554i 0.0478778 0.0401742i
\(257\) −2161.16 1813.43i −0.524551 0.440150i 0.341664 0.939822i \(-0.389010\pi\)
−0.866215 + 0.499672i \(0.833454\pi\)
\(258\) 1617.33 0.390273
\(259\) −16.8904 2860.48i −0.00405219 0.686260i
\(260\) 763.662 0.182155
\(261\) 884.183 + 741.918i 0.209692 + 0.175952i
\(262\) 944.338 792.394i 0.222677 0.186848i
\(263\) −763.430 4329.63i −0.178993 1.01512i −0.933433 0.358751i \(-0.883203\pi\)
0.754441 0.656368i \(-0.227908\pi\)
\(264\) −455.601 165.825i −0.106213 0.0386584i
\(265\) −8049.71 −1.86600
\(266\) 3540.81 + 1288.75i 0.816168 + 0.297061i
\(267\) −2056.84 + 3562.55i −0.471448 + 0.816572i
\(268\) 557.503 3161.76i 0.127071 0.720653i
\(269\) −2427.76 4205.01i −0.550273 0.953101i −0.998255 0.0590580i \(-0.981190\pi\)
0.447982 0.894043i \(-0.352143\pi\)
\(270\) −2768.94 + 4795.94i −0.624119 + 1.08101i
\(271\) −4688.61 3934.21i −1.05097 0.881868i −0.0577744 0.998330i \(-0.518400\pi\)
−0.993195 + 0.116461i \(0.962845\pi\)
\(272\) −49.9225 283.124i −0.0111287 0.0631137i
\(273\) 222.340 + 385.103i 0.0492916 + 0.0853755i
\(274\) −2236.29 + 813.942i −0.493062 + 0.179460i
\(275\) 3857.13 1403.88i 0.845795 0.307844i
\(276\) 95.9673 544.258i 0.0209295 0.118697i
\(277\) 2327.60 1953.09i 0.504881 0.423646i −0.354442 0.935078i \(-0.615329\pi\)
0.859324 + 0.511432i \(0.170885\pi\)
\(278\) −1340.42 + 1124.75i −0.289184 + 0.242654i
\(279\) −59.4619 + 337.225i −0.0127595 + 0.0723625i
\(280\) −1814.74 + 660.511i −0.387327 + 0.140975i
\(281\) 3476.28 1265.26i 0.737998 0.268609i 0.0544518 0.998516i \(-0.482659\pi\)
0.683547 + 0.729907i \(0.260437\pi\)
\(282\) −1464.90 2537.27i −0.309338 0.535789i
\(283\) 1052.02 + 5966.31i 0.220976 + 1.25322i 0.870230 + 0.492645i \(0.163970\pi\)
−0.649254 + 0.760571i \(0.724919\pi\)
\(284\) −936.779 786.051i −0.195731 0.164238i
\(285\) −4899.64 + 8486.43i −1.01835 + 1.76383i
\(286\) 175.024 + 303.151i 0.0361867 + 0.0626772i
\(287\) −702.160 + 3982.15i −0.144415 + 0.819020i
\(288\) 238.164 412.513i 0.0487291 0.0844012i
\(289\) 4313.32 + 1569.92i 0.877941 + 0.319544i
\(290\) −2945.48 −0.596430
\(291\) −5971.41 2173.42i −1.20292 0.437828i
\(292\) −691.103 3919.44i −0.138506 0.785506i
\(293\) 635.440 533.198i 0.126699 0.106313i −0.577236 0.816577i \(-0.695869\pi\)
0.703935 + 0.710264i \(0.251424\pi\)
\(294\) 967.643 + 811.949i 0.191953 + 0.161067i
\(295\) 12347.2 2.43689
\(296\) −1774.96 302.178i −0.348539 0.0593369i
\(297\) −2538.46 −0.495947
\(298\) −719.807 603.990i −0.139924 0.117410i
\(299\) −305.659 + 256.478i −0.0591194 + 0.0496071i
\(300\) −569.919 3232.17i −0.109681 0.622032i
\(301\) 2774.85 + 1009.96i 0.531362 + 0.193400i
\(302\) 382.022 0.0727910
\(303\) 5803.24 + 2112.21i 1.10029 + 0.400472i
\(304\) 1185.86 2053.97i 0.223729 0.387510i
\(305\) −996.780 + 5653.02i −0.187133 + 1.06128i
\(306\) −267.462 463.258i −0.0499667 0.0865448i
\(307\) 705.248 1221.52i 0.131109 0.227088i −0.792995 0.609228i \(-0.791479\pi\)
0.924105 + 0.382140i \(0.124813\pi\)
\(308\) −678.124 569.014i −0.125454 0.105268i
\(309\) −814.545 4619.52i −0.149961 0.850469i
\(310\) −436.925 756.776i −0.0800505 0.138651i
\(311\) 974.431 354.664i 0.177668 0.0646660i −0.251654 0.967817i \(-0.580975\pi\)
0.429323 + 0.903151i \(0.358752\pi\)
\(312\) 263.014 95.7293i 0.0477251 0.0173705i
\(313\) 168.024 952.910i 0.0303427 0.172082i −0.965871 0.259025i \(-0.916599\pi\)
0.996213 + 0.0869432i \(0.0277099\pi\)
\(314\) −1662.56 + 1395.05i −0.298801 + 0.250724i
\(315\) −2752.64 + 2309.74i −0.492361 + 0.413140i
\(316\) −516.544 + 2929.46i −0.0919552 + 0.521504i
\(317\) −1696.45 + 617.459i −0.300575 + 0.109400i −0.487905 0.872897i \(-0.662239\pi\)
0.187330 + 0.982297i \(0.440017\pi\)
\(318\) −2772.41 + 1009.08i −0.488897 + 0.177944i
\(319\) −675.077 1169.27i −0.118486 0.205224i
\(320\) 211.079 + 1197.09i 0.0368740 + 0.209123i
\(321\) 2494.42 + 2093.07i 0.433723 + 0.363936i
\(322\) 504.522 873.857i 0.0873164 0.151237i
\(323\) −1331.74 2306.64i −0.229411 0.397352i
\(324\) −73.2976 + 415.692i −0.0125682 + 0.0712777i
\(325\) −1184.79 + 2052.12i −0.202217 + 0.350250i
\(326\) −7142.28 2599.58i −1.21342 0.441648i
\(327\) −5961.78 −1.00822
\(328\) 2391.65 + 870.490i 0.402613 + 0.146539i
\(329\) −928.889 5267.99i −0.155658 0.882778i
\(330\) 1763.55 1479.79i 0.294182 0.246848i
\(331\) −4820.60 4044.97i −0.800496 0.671696i 0.147823 0.989014i \(-0.452773\pi\)
−0.948319 + 0.317318i \(0.897218\pi\)
\(332\) −1733.66 −0.286587
\(333\) −3295.73 + 601.212i −0.542356 + 0.0989375i
\(334\) −2059.04 −0.337322
\(335\) 11677.9 + 9798.95i 1.90458 + 1.59813i
\(336\) −542.218 + 454.975i −0.0880370 + 0.0738718i
\(337\) −884.120 5014.10i −0.142911 0.810490i −0.969021 0.246980i \(-0.920562\pi\)
0.826109 0.563510i \(-0.190549\pi\)
\(338\) 3939.12 + 1433.72i 0.633904 + 0.230722i
\(339\) −5390.06 −0.863563
\(340\) 1282.76 + 466.888i 0.204611 + 0.0744722i
\(341\) 200.278 346.892i 0.0318055 0.0550887i
\(342\) 766.302 4345.91i 0.121160 0.687135i
\(343\) 3332.91 + 5772.77i 0.524666 + 0.908747i
\(344\) 929.332 1609.65i 0.145658 0.252286i
\(345\) 2010.21 + 1686.77i 0.313699 + 0.263225i
\(346\) 647.028 + 3669.48i 0.100533 + 0.570151i
\(347\) −1044.88 1809.79i −0.161649 0.279985i 0.773811 0.633416i \(-0.218348\pi\)
−0.935460 + 0.353432i \(0.885015\pi\)
\(348\) −1014.46 + 369.233i −0.156266 + 0.0568763i
\(349\) −4600.76 + 1674.54i −0.705653 + 0.256837i −0.669823 0.742521i \(-0.733630\pi\)
−0.0358307 + 0.999358i \(0.511408\pi\)
\(350\) 1040.57 5901.35i 0.158916 0.901258i
\(351\) 1122.58 941.959i 0.170710 0.143242i
\(352\) −426.831 + 358.154i −0.0646311 + 0.0542319i
\(353\) −1077.52 + 6110.92i −0.162466 + 0.921392i 0.789172 + 0.614172i \(0.210510\pi\)
−0.951638 + 0.307220i \(0.900601\pi\)
\(354\) 4252.53 1547.79i 0.638473 0.232385i
\(355\) 5456.37 1985.96i 0.815758 0.296912i
\(356\) 2363.76 + 4094.16i 0.351908 + 0.609522i
\(357\) 138.031 + 782.812i 0.0204632 + 0.116053i
\(358\) 2108.42 + 1769.17i 0.311267 + 0.261184i
\(359\) −5701.92 + 9876.02i −0.838262 + 1.45191i 0.0530853 + 0.998590i \(0.483094\pi\)
−0.891347 + 0.453322i \(0.850239\pi\)
\(360\) 1130.87 + 1958.72i 0.165561 + 0.286760i
\(361\) 2624.48 14884.2i 0.382634 2.17002i
\(362\) 2633.23 4560.90i 0.382320 0.662197i
\(363\) −3361.70 1223.56i −0.486070 0.176915i
\(364\) 511.034 0.0735865
\(365\) 17758.0 + 6463.37i 2.54656 + 0.926872i
\(366\) 365.335 + 2071.92i 0.0521758 + 0.295904i
\(367\) 10060.9 8442.06i 1.43099 1.20074i 0.485860 0.874037i \(-0.338506\pi\)
0.945127 0.326704i \(-0.105938\pi\)
\(368\) −486.531 408.248i −0.0689189 0.0578298i
\(369\) 4735.65 0.668097
\(370\) 5456.58 6581.43i 0.766687 0.924736i
\(371\) −5386.77 −0.753820
\(372\) −245.348 205.871i −0.0341954 0.0286934i
\(373\) 6255.26 5248.79i 0.868325 0.728611i −0.0954196 0.995437i \(-0.530419\pi\)
0.963745 + 0.266826i \(0.0859748\pi\)
\(374\) 108.657 + 616.224i 0.0150228 + 0.0851984i
\(375\) 6879.03 + 2503.76i 0.947284 + 0.344783i
\(376\) −3366.98 −0.461805
\(377\) 732.426 + 266.581i 0.100058 + 0.0364181i
\(378\) −1852.94 + 3209.39i −0.252130 + 0.436701i
\(379\) −1088.87 + 6175.27i −0.147576 + 0.836945i 0.817687 + 0.575664i \(0.195256\pi\)
−0.965263 + 0.261282i \(0.915855\pi\)
\(380\) 5630.77 + 9752.77i 0.760138 + 1.31660i
\(381\) 2464.18 4268.08i 0.331348 0.573912i
\(382\) 340.531 + 285.739i 0.0456101 + 0.0382715i
\(383\) 1619.15 + 9182.68i 0.216018 + 1.22510i 0.879131 + 0.476580i \(0.158124\pi\)
−0.663113 + 0.748519i \(0.730765\pi\)
\(384\) 222.760 + 385.831i 0.0296033 + 0.0512744i
\(385\) 3949.81 1437.61i 0.522859 0.190305i
\(386\) 1451.83 528.422i 0.191441 0.0696786i
\(387\) 600.535 3405.80i 0.0788808 0.447355i
\(388\) −5594.33 + 4694.20i −0.731982 + 0.614206i
\(389\) −7893.13 + 6623.12i −1.02879 + 0.863253i −0.990706 0.136021i \(-0.956568\pi\)
−0.0380795 + 0.999275i \(0.512124\pi\)
\(390\) −230.780 + 1308.82i −0.0299641 + 0.169935i
\(391\) −670.236 + 243.946i −0.0866887 + 0.0315521i
\(392\) 1364.11 496.497i 0.175761 0.0639716i
\(393\) 1072.68 + 1857.94i 0.137683 + 0.238475i
\(394\) −830.298 4708.85i −0.106167 0.602103i
\(395\) −10820.0 9079.02i −1.37826 1.15649i
\(396\) −518.369 + 897.841i −0.0657803 + 0.113935i
\(397\) 1619.07 + 2804.31i 0.204682 + 0.354520i 0.950031 0.312154i \(-0.101051\pi\)
−0.745349 + 0.666674i \(0.767717\pi\)
\(398\) 1104.67 6264.89i 0.139126 0.789021i
\(399\) −3278.79 + 5679.02i −0.411390 + 0.712548i
\(400\) −3544.31 1290.02i −0.443039 0.161253i
\(401\) −8575.99 −1.06799 −0.533996 0.845487i \(-0.679310\pi\)
−0.533996 + 0.845487i \(0.679310\pi\)
\(402\) 5250.37 + 1910.98i 0.651404 + 0.237092i
\(403\) 40.1539 + 227.724i 0.00496330 + 0.0281483i
\(404\) 5436.78 4562.00i 0.669530 0.561802i
\(405\) −1535.35 1288.32i −0.188376 0.158066i
\(406\) −1971.08 −0.240944
\(407\) 3863.23 + 657.695i 0.470499 + 0.0801001i
\(408\) 500.325 0.0607103
\(409\) −5301.94 4448.85i −0.640988 0.537852i 0.263334 0.964705i \(-0.415178\pi\)
−0.904321 + 0.426852i \(0.859622\pi\)
\(410\) −9257.66 + 7768.10i −1.11513 + 0.935705i
\(411\) −719.182 4078.68i −0.0863130 0.489505i
\(412\) −5065.64 1843.74i −0.605743 0.220472i
\(413\) 8262.63 0.984449
\(414\) −1110.48 404.180i −0.131828 0.0479816i
\(415\) 4115.93 7129.00i 0.486851 0.843250i
\(416\) 55.8556 316.773i 0.00658304 0.0373343i
\(417\) −1522.59 2637.21i −0.178805 0.309699i
\(418\) −2581.04 + 4470.49i −0.302016 + 0.523107i
\(419\) −10916.9 9160.34i −1.27285 1.06805i −0.994188 0.107658i \(-0.965665\pi\)
−0.278662 0.960389i \(-0.589891\pi\)
\(420\) −583.614 3309.84i −0.0678034 0.384532i
\(421\) 2925.56 + 5067.22i 0.338677 + 0.586606i 0.984184 0.177148i \(-0.0566872\pi\)
−0.645507 + 0.763754i \(0.723354\pi\)
\(422\) −2889.10 + 1051.55i −0.333268 + 0.121300i
\(423\) −5886.98 + 2142.69i −0.676678 + 0.246291i
\(424\) −588.770 + 3339.08i −0.0674367 + 0.382453i
\(425\) −3244.79 + 2722.70i −0.370342 + 0.310754i
\(426\) 1630.29 1367.97i 0.185417 0.155583i
\(427\) −667.034 + 3782.94i −0.0755973 + 0.428733i
\(428\) 3516.45 1279.88i 0.397136 0.144546i
\(429\) −572.454 + 208.356i −0.0644251 + 0.0234488i
\(430\) 4412.71 + 7643.04i 0.494884 + 0.857164i
\(431\) −2125.61 12054.9i −0.237557 1.34725i −0.837162 0.546956i \(-0.815787\pi\)
0.599605 0.800296i \(-0.295324\pi\)
\(432\) 1786.87 + 1499.36i 0.199006 + 0.166986i
\(433\) 4829.26 8364.52i 0.535980 0.928344i −0.463136 0.886287i \(-0.653276\pi\)
0.999115 0.0420566i \(-0.0133910\pi\)
\(434\) −292.385 506.426i −0.0323385 0.0560120i
\(435\) 890.130 5048.18i 0.0981114 0.556417i
\(436\) −3425.70 + 5933.49i −0.376287 + 0.651749i
\(437\) −5529.23 2012.48i −0.605261 0.220297i
\(438\) 6926.27 0.755593
\(439\) 3272.24 + 1191.00i 0.355752 + 0.129483i 0.513713 0.857962i \(-0.328270\pi\)
−0.157961 + 0.987445i \(0.550492\pi\)
\(440\) −459.417 2605.48i −0.0497769 0.282299i
\(441\) 2069.12 1736.20i 0.223423 0.187474i
\(442\) −276.717 232.193i −0.0297785 0.0249871i
\(443\) −4421.22 −0.474173 −0.237087 0.971489i \(-0.576192\pi\)
−0.237087 + 0.971489i \(0.576192\pi\)
\(444\) 1054.29 2950.73i 0.112690 0.315395i
\(445\) −22447.5 −2.39127
\(446\) 7694.32 + 6456.30i 0.816898 + 0.685459i
\(447\) 1252.69 1051.13i 0.132551 0.111223i
\(448\) 141.252 + 801.078i 0.0148962 + 0.0844808i
\(449\) −8182.81 2978.30i −0.860069 0.313039i −0.125930 0.992039i \(-0.540191\pi\)
−0.734138 + 0.679000i \(0.762414\pi\)
\(450\) −7018.00 −0.735181
\(451\) −5205.47 1894.64i −0.543494 0.197816i
\(452\) −3097.18 + 5364.48i −0.322299 + 0.558239i
\(453\) −115.448 + 654.736i −0.0119740 + 0.0679077i
\(454\) 2362.21 + 4091.46i 0.244194 + 0.422956i
\(455\) −1213.26 + 2101.43i −0.125008 + 0.216520i
\(456\) 3161.87 + 2653.12i 0.324710 + 0.272464i
\(457\) 1404.11 + 7963.12i 0.143724 + 0.815097i 0.968383 + 0.249468i \(0.0802556\pi\)
−0.824660 + 0.565629i \(0.808633\pi\)
\(458\) 890.253 + 1541.96i 0.0908271 + 0.157317i
\(459\) 2461.56 895.933i 0.250317 0.0911080i
\(460\) 2833.85 1031.44i 0.287237 0.104546i
\(461\) 1099.03 6232.92i 0.111035 0.629709i −0.877603 0.479389i \(-0.840858\pi\)
0.988637 0.150320i \(-0.0480305\pi\)
\(462\) 1180.15 990.261i 0.118843 0.0997210i
\(463\) −5043.72 + 4232.18i −0.506266 + 0.424808i −0.859813 0.510609i \(-0.829420\pi\)
0.353547 + 0.935417i \(0.384976\pi\)
\(464\) −215.438 + 1221.81i −0.0215548 + 0.122244i
\(465\) 1429.06 520.134i 0.142518 0.0518723i
\(466\) −9413.87 + 3426.37i −0.935813 + 0.340608i
\(467\) 3039.96 + 5265.37i 0.301226 + 0.521739i 0.976414 0.215907i \(-0.0692708\pi\)
−0.675188 + 0.737646i \(0.735937\pi\)
\(468\) −103.928 589.406i −0.0102651 0.0582165i
\(469\) 7814.74 + 6557.35i 0.769406 + 0.645608i
\(470\) 7993.65 13845.4i 0.784510 1.35881i
\(471\) −1888.51 3270.99i −0.184751 0.319999i
\(472\) 903.098 5121.72i 0.0880688 0.499463i
\(473\) −2022.71 + 3503.43i −0.196626 + 0.340566i
\(474\) −4864.62 1770.58i −0.471392 0.171573i
\(475\) −34943.7 −3.37543
\(476\) 858.411 + 312.436i 0.0826580 + 0.0300850i
\(477\) 1095.50 + 6212.89i 0.105156 + 0.596370i
\(478\) 734.737 616.518i 0.0703056 0.0589934i
\(479\) 7978.12 + 6694.44i 0.761022 + 0.638573i 0.938393 0.345571i \(-0.112315\pi\)
−0.177371 + 0.984144i \(0.556759\pi\)
\(480\) −2115.44 −0.201159
\(481\) −1952.49 + 1142.70i −0.185085 + 0.108321i
\(482\) −12434.0 −1.17501
\(483\) 1345.21 + 1128.77i 0.126727 + 0.106337i
\(484\) −3149.42 + 2642.67i −0.295775 + 0.248185i
\(485\) −6021.43 34149.2i −0.563750 3.19719i
\(486\) 6707.43 + 2441.30i 0.626039 + 0.227860i
\(487\) 6740.61 0.627199 0.313600 0.949555i \(-0.398465\pi\)
0.313600 + 0.949555i \(0.398465\pi\)
\(488\) 2272.01 + 826.943i 0.210756 + 0.0767090i
\(489\) 6613.75 11455.4i 0.611624 1.05936i
\(490\) −1196.93 + 6788.14i −0.110351 + 0.625831i
\(491\) 1524.45 + 2640.43i 0.140117 + 0.242690i 0.927541 0.373722i \(-0.121919\pi\)
−0.787423 + 0.616413i \(0.788585\pi\)
\(492\) −2214.67 + 3835.92i −0.202937 + 0.351497i
\(493\) 1067.31 + 895.581i 0.0975037 + 0.0818153i
\(494\) −517.475 2934.75i −0.0471302 0.267288i
\(495\) −2461.35 4263.18i −0.223494 0.387103i
\(496\) −345.874 + 125.888i −0.0313108 + 0.0113962i
\(497\) 3651.34 1328.98i 0.329548 0.119946i
\(498\) 523.914 2971.26i 0.0471429 0.267361i
\(499\) −4406.79 + 3697.74i −0.395341 + 0.331731i −0.818690 0.574236i \(-0.805299\pi\)
0.423348 + 0.905967i \(0.360855\pi\)
\(500\) 6444.64 5407.70i 0.576426 0.483679i
\(501\) 622.246 3528.93i 0.0554888 0.314693i
\(502\) 5920.70 2154.96i 0.526402 0.191595i
\(503\) −1959.32 + 713.135i −0.173682 + 0.0632150i −0.427397 0.904064i \(-0.640569\pi\)
0.253716 + 0.967279i \(0.418347\pi\)
\(504\) 756.764 + 1310.75i 0.0668828 + 0.115844i
\(505\) 5851.85 + 33187.5i 0.515651 + 2.92440i
\(506\) 1058.94 + 888.557i 0.0930350 + 0.0780656i
\(507\) −3647.62 + 6317.87i −0.319520 + 0.553425i
\(508\) −2831.88 4904.96i −0.247332 0.428391i
\(509\) −2628.91 + 14909.3i −0.228928 + 1.29832i 0.626103 + 0.779741i \(0.284649\pi\)
−0.855031 + 0.518577i \(0.826462\pi\)
\(510\) −1187.84 + 2057.40i −0.103134 + 0.178633i
\(511\) 11883.4 + 4325.21i 1.02875 + 0.374435i
\(512\) 512.000 0.0441942
\(513\) 20307.0 + 7391.16i 1.74771 + 0.636116i
\(514\) −979.791 5556.67i −0.0840793 0.476837i
\(515\) 19608.2 16453.2i 1.67775 1.40780i
\(516\) 2477.89 + 2079.19i 0.211401 + 0.177386i
\(517\) 7328.28 0.623399
\(518\) 3651.48 4404.22i 0.309724 0.373572i
\(519\) −6484.55 −0.548439
\(520\) 1170.00 + 981.745i 0.0986689 + 0.0827930i
\(521\) 16199.1 13592.7i 1.36218 1.14300i 0.386877 0.922131i \(-0.373554\pi\)
0.975303 0.220873i \(-0.0708906\pi\)
\(522\) 400.856 + 2273.37i 0.0336111 + 0.190618i
\(523\) 19696.8 + 7169.07i 1.64681 + 0.599391i 0.988211 0.153101i \(-0.0489259\pi\)
0.658602 + 0.752491i \(0.271148\pi\)
\(524\) 2465.49 0.205545
\(525\) 9799.69 + 3566.80i 0.814655 + 0.296510i
\(526\) 4396.42 7614.82i 0.364435 0.631221i
\(527\) −71.7774 + 407.070i −0.00593296 + 0.0336475i
\(528\) −484.840 839.768i −0.0399620 0.0692163i
\(529\) 5295.65 9172.34i 0.435247 0.753870i
\(530\) −12332.9 10348.5i −1.01077 0.848133i
\(531\) −1680.36 9529.79i −0.137328 0.778828i
\(532\) 3768.05 + 6526.45i 0.307078 + 0.531875i
\(533\) 3005.07 1093.76i 0.244210 0.0888852i
\(534\) −7731.19 + 2813.92i −0.626519 + 0.228034i
\(535\) −3085.49 + 17498.7i −0.249341 + 1.41408i
\(536\) 4918.82 4127.38i 0.396382 0.332604i
\(537\) −3669.31 + 3078.91i −0.294865 + 0.247421i
\(538\) 1686.31 9563.53i 0.135134 0.766381i
\(539\) −2969.01 + 1080.63i −0.237262 + 0.0863565i
\(540\) −10407.8 + 3788.13i −0.829408 + 0.301880i
\(541\) 1040.09 + 1801.49i 0.0826561 + 0.143165i 0.904390 0.426707i \(-0.140326\pi\)
−0.821734 + 0.569871i \(0.806993\pi\)
\(542\) −2125.64 12055.1i −0.168458 0.955372i
\(543\) 7021.02 + 5891.34i 0.554882 + 0.465601i
\(544\) 287.492 497.951i 0.0226583 0.0392453i
\(545\) −16266.1 28173.8i −1.27847 2.21437i
\(546\) −154.435 + 875.847i −0.0121048 + 0.0686498i
\(547\) −9016.18 + 15616.5i −0.704761 + 1.22068i 0.262017 + 0.965063i \(0.415612\pi\)
−0.966778 + 0.255618i \(0.917721\pi\)
\(548\) −4472.58 1627.88i −0.348648 0.126897i
\(549\) 4498.74 0.349730
\(550\) 7714.25 + 2807.76i 0.598067 + 0.217679i
\(551\) 1995.93 + 11319.5i 0.154318 + 0.875182i
\(552\) 846.714 710.478i 0.0652872 0.0547825i
\(553\) −7240.60 6075.58i −0.556784 0.467197i
\(554\) 6076.94 0.466037
\(555\) 9630.74 + 11340.8i 0.736580 + 0.867369i
\(556\) −3499.59 −0.266935
\(557\) 10186.8 + 8547.78i 0.774920 + 0.650235i 0.941964 0.335714i \(-0.108978\pi\)
−0.167044 + 0.985949i \(0.553422\pi\)
\(558\) −524.629 + 440.216i −0.0398017 + 0.0333976i
\(559\) −405.534 2299.90i −0.0306838 0.174017i
\(560\) −3629.48 1321.02i −0.273881 0.0996846i
\(561\) −1088.97 −0.0819540
\(562\) 6952.56 + 2530.53i 0.521844 + 0.189936i
\(563\) −11849.9 + 20524.7i −0.887061 + 1.53644i −0.0437283 + 0.999043i \(0.513924\pi\)
−0.843333 + 0.537392i \(0.819410\pi\)
\(564\) 1017.51 5770.57i 0.0759659 0.430824i
\(565\) −14706.2 25472.0i −1.09504 1.89666i
\(566\) −6058.35 + 10493.4i −0.449914 + 0.779274i
\(567\) −1027.44 862.126i −0.0760997 0.0638552i
\(568\) −424.701 2408.60i −0.0313734 0.177927i
\(569\) 3974.71 + 6884.40i 0.292845 + 0.507222i 0.974481 0.224469i \(-0.0720648\pi\)
−0.681637 + 0.731691i \(0.738731\pi\)
\(570\) −18416.6 + 6703.10i −1.35331 + 0.492565i
\(571\) −1360.30 + 495.108i −0.0996965 + 0.0362866i −0.391387 0.920226i \(-0.628005\pi\)
0.291690 + 0.956513i \(0.405782\pi\)
\(572\) −121.571 + 689.461i −0.00888657 + 0.0503983i
\(573\) −592.629 + 497.275i −0.0432067 + 0.0362547i
\(574\) −6195.12 + 5198.32i −0.450487 + 0.378003i
\(575\) −1624.92 + 9215.40i −0.117850 + 0.668363i
\(576\) 895.205 325.828i 0.0647573 0.0235697i
\(577\) −366.031 + 133.224i −0.0264092 + 0.00961214i −0.355191 0.934794i \(-0.615584\pi\)
0.328782 + 0.944406i \(0.393362\pi\)
\(578\) 4590.14 + 7950.36i 0.330320 + 0.572130i
\(579\) 466.902 + 2647.93i 0.0335126 + 0.190059i
\(580\) −4512.74 3786.64i −0.323071 0.271089i
\(581\) 2754.33 4770.65i 0.196677 0.340654i
\(582\) −6354.64 11006.6i −0.452592 0.783912i
\(583\) 1281.47 7267.56i 0.0910341 0.516280i
\(584\) 3979.90 6893.39i 0.282003 0.488443i
\(585\) 2670.45 + 971.963i 0.188734 + 0.0686936i
\(586\) 1659.02 0.116951
\(587\) −17925.2 6524.25i −1.26040 0.458747i −0.376495 0.926419i \(-0.622871\pi\)
−0.883902 + 0.467672i \(0.845093\pi\)
\(588\) 438.694 + 2487.96i 0.0307677 + 0.174493i
\(589\) −2612.21 + 2191.90i −0.182741 + 0.153338i
\(590\) 18917.1 + 15873.3i 1.32001 + 1.10762i
\(591\) 8321.29 0.579174
\(592\) −2330.92 2744.81i −0.161825 0.190559i
\(593\) −848.528 −0.0587604 −0.0293802 0.999568i \(-0.509353\pi\)
−0.0293802 + 0.999568i \(0.509353\pi\)
\(594\) −3889.14 3263.38i −0.268642 0.225418i
\(595\) −3322.75 + 2788.12i −0.228941 + 0.192104i
\(596\) −326.334 1850.73i −0.0224281 0.127196i
\(597\) 10403.4 + 3786.52i 0.713202 + 0.259584i
\(598\) −798.018 −0.0545709
\(599\) 8998.57 + 3275.21i 0.613809 + 0.223408i 0.630169 0.776458i \(-0.282986\pi\)
−0.0163601 + 0.999866i \(0.505208\pi\)
\(600\) 3282.03 5684.65i 0.223314 0.386791i
\(601\) −2424.80 + 13751.7i −0.164575 + 0.933353i 0.784926 + 0.619590i \(0.212701\pi\)
−0.949501 + 0.313763i \(0.898410\pi\)
\(602\) 2952.94 + 5114.64i 0.199922 + 0.346274i
\(603\) 5973.71 10346.8i 0.403430 0.698761i
\(604\) 585.291 + 491.118i 0.0394291 + 0.0330849i
\(605\) −3389.86 19224.8i −0.227797 1.29190i
\(606\) 6175.68 + 10696.6i 0.413977 + 0.717029i
\(607\) 14658.5 5335.27i 0.980184 0.356758i 0.198272 0.980147i \(-0.436467\pi\)
0.781912 + 0.623389i \(0.214245\pi\)
\(608\) 4457.37 1622.35i 0.297319 0.108215i
\(609\) 595.665 3378.18i 0.0396348 0.224780i
\(610\) −8794.54 + 7379.49i −0.583738 + 0.489815i
\(611\) −3240.79 + 2719.34i −0.214580 + 0.180054i
\(612\) 185.777 1053.60i 0.0122706 0.0695900i
\(613\) −13752.5 + 5005.50i −0.906130 + 0.329804i −0.752706 0.658356i \(-0.771252\pi\)
−0.153423 + 0.988161i \(0.549030\pi\)
\(614\) 2650.86 964.835i 0.174235 0.0634163i
\(615\) −10515.8 18214.0i −0.689495 1.19424i
\(616\) −307.437 1743.56i −0.0201087 0.114042i
\(617\) 17420.4 + 14617.5i 1.13666 + 0.953772i 0.999324 0.0367525i \(-0.0117013\pi\)
0.137337 + 0.990524i \(0.456146\pi\)
\(618\) 4690.78 8124.67i 0.305325 0.528838i
\(619\) 6336.44 + 10975.0i 0.411443 + 0.712640i 0.995048 0.0993977i \(-0.0316916\pi\)
−0.583605 + 0.812038i \(0.698358\pi\)
\(620\) 303.485 1721.15i 0.0196584 0.111489i
\(621\) 2893.51 5011.70i 0.186976 0.323853i
\(622\) 1948.86 + 709.327i 0.125631 + 0.0457258i
\(623\) −15021.6 −0.966018
\(624\) 526.028 + 191.459i 0.0337468 + 0.0122828i
\(625\) 1819.76 + 10320.3i 0.116464 + 0.660502i
\(626\) 1482.46 1243.94i 0.0946505 0.0794212i
\(627\) −6881.85 5774.56i −0.438333 0.367805i
\(628\) −4340.63 −0.275812
\(629\) −3978.32 + 725.732i −0.252188 + 0.0460045i
\(630\) −7186.63 −0.454480
\(631\) −14222.5 11934.1i −0.897286 0.752912i 0.0723723 0.997378i \(-0.476943\pi\)
−0.969658 + 0.244466i \(0.921387\pi\)
\(632\) −4557.44 + 3824.14i −0.286844 + 0.240690i
\(633\) −929.124 5269.32i −0.0583402 0.330864i
\(634\) −3392.91 1234.92i −0.212539 0.0773578i
\(635\) 26893.1 1.68066
\(636\) −5544.82 2018.15i −0.345702 0.125825i
\(637\) 911.992 1579.62i 0.0567260 0.0982523i
\(638\) 468.904 2659.28i 0.0290973 0.165019i
\(639\) −2275.36 3941.04i −0.140864 0.243983i
\(640\) −1215.56 + 2105.40i −0.0750767 + 0.130037i
\(641\) −4359.84 3658.34i −0.268648 0.225422i 0.498505 0.866887i \(-0.333883\pi\)
−0.767153 + 0.641465i \(0.778327\pi\)
\(642\) 1130.88 + 6413.53i 0.0695206 + 0.394271i
\(643\) −3711.11 6427.83i −0.227608 0.394229i 0.729491 0.683991i \(-0.239757\pi\)
−0.957099 + 0.289762i \(0.906424\pi\)
\(644\) 1896.38 690.226i 0.116037 0.0422340i
\(645\) −14432.7 + 5253.08i −0.881067 + 0.320682i
\(646\) 925.015 5246.02i 0.0563378 0.319508i
\(647\) −24605.0 + 20646.0i −1.49509 + 1.25453i −0.607131 + 0.794602i \(0.707680\pi\)
−0.887957 + 0.459926i \(0.847876\pi\)
\(648\) −646.701 + 542.647i −0.0392050 + 0.0328969i
\(649\) −1965.61 + 11147.5i −0.118886 + 0.674234i
\(650\) −4453.37 + 1620.89i −0.268732 + 0.0978103i
\(651\) 956.308 348.068i 0.0575740 0.0209552i
\(652\) −7600.66 13164.7i −0.456541 0.790752i
\(653\) −3222.59 18276.2i −0.193124 1.09526i −0.915066 0.403305i \(-0.867861\pi\)
0.721942 0.691954i \(-0.243250\pi\)
\(654\) −9133.98 7664.32i −0.546127 0.458255i
\(655\) −5853.40 + 10138.4i −0.349178 + 0.604794i
\(656\) 2545.14 + 4408.32i 0.151480 + 0.262372i
\(657\) 2571.81 14585.5i 0.152718 0.866109i
\(658\) 5349.26 9265.19i 0.316924 0.548928i
\(659\) 22733.4 + 8274.29i 1.34381 + 0.489106i 0.911009 0.412386i \(-0.135304\pi\)
0.432797 + 0.901491i \(0.357527\pi\)
\(660\) 4604.30 0.271549
\(661\) 28986.9 + 10550.4i 1.70569 + 0.620820i 0.996453 0.0841502i \(-0.0268175\pi\)
0.709237 + 0.704970i \(0.249040\pi\)
\(662\) −2185.48 12394.5i −0.128310 0.727682i
\(663\) 481.574 404.088i 0.0282093 0.0236704i
\(664\) −2656.12 2228.75i −0.155237 0.130259i
\(665\) −35783.4 −2.08665
\(666\) −5822.25 3315.79i −0.338750 0.192919i
\(667\) 3077.99 0.178681
\(668\) −3154.63 2647.05i −0.182719 0.153320i
\(669\) −13390.5 + 11236.0i −0.773852 + 0.649339i
\(670\) 5294.34 + 30025.7i 0.305281 + 1.73134i
\(671\) −4945.06 1799.86i −0.284504 0.103551i
\(672\) −1415.63 −0.0812637
\(673\) −15056.9 5480.25i −0.862406 0.313890i −0.127318 0.991862i \(-0.540637\pi\)
−0.735088 + 0.677972i \(0.762859\pi\)
\(674\) 5091.45 8818.64i 0.290972 0.503978i
\(675\) 5967.81 33845.1i 0.340298 1.92992i
\(676\) 4191.92 + 7260.62i 0.238503 + 0.413098i
\(677\) −9986.35 + 17296.9i −0.566923 + 0.981939i 0.429945 + 0.902855i \(0.358533\pi\)
−0.996868 + 0.0790839i \(0.974801\pi\)
\(678\) −8258.05 6929.33i −0.467771 0.392506i
\(679\) −4029.47 22852.3i −0.227742 1.29159i
\(680\) 1365.09 + 2364.40i 0.0769834 + 0.133339i
\(681\) −7726.11 + 2812.07i −0.434750 + 0.158236i
\(682\) 752.799 273.996i 0.0422671 0.0153840i
\(683\) −1722.82 + 9770.61i −0.0965182 + 0.547382i 0.897753 + 0.440499i \(0.145198\pi\)
−0.994272 + 0.106884i \(0.965913\pi\)
\(684\) 6761.04 5673.19i 0.377946 0.317134i
\(685\) 17312.5 14526.9i 0.965661 0.810286i
\(686\) −2315.02 + 13129.1i −0.128845 + 0.730717i
\(687\) −2911.76 + 1059.80i −0.161704 + 0.0588555i
\(688\) 3493.15 1271.40i 0.193568 0.0704531i
\(689\) 2130.11 + 3689.45i 0.117780 + 0.204002i
\(690\) 911.356 + 5168.56i 0.0502822 + 0.285165i
\(691\) 17860.6 + 14986.8i 0.983286 + 0.825075i 0.984582 0.174925i \(-0.0559682\pi\)
−0.00129623 + 0.999999i \(0.500413\pi\)
\(692\) −3726.09 + 6453.77i −0.204689 + 0.354531i
\(693\) −1647.11 2852.88i −0.0902864 0.156381i
\(694\) 725.768 4116.04i 0.0396971 0.225134i
\(695\) 8308.49 14390.7i 0.453466 0.785426i
\(696\) −2028.92 738.465i −0.110497 0.0402176i
\(697\) 5716.47 0.310655
\(698\) −9201.52 3349.08i −0.498972 0.181611i
\(699\) −3027.47 17169.6i −0.163819 0.929062i
\(700\) 9180.87 7703.67i 0.495720 0.415959i
\(701\) −6752.34 5665.89i −0.363812 0.305275i 0.442496 0.896771i \(-0.354093\pi\)
−0.806308 + 0.591496i \(0.798538\pi\)
\(702\) 2930.86 0.157576
\(703\) −28989.9 16509.9i −1.55530 0.885748i
\(704\) −1114.38 −0.0596586
\(705\) 21313.5 + 17884.2i 1.13860 + 0.955401i
\(706\) −9506.90 + 7977.24i −0.506795 + 0.425251i
\(707\) 3915.99 + 22208.7i 0.208311 + 1.18139i
\(708\) 8505.06 + 3095.59i 0.451468 + 0.164321i
\(709\) 2781.12 0.147316 0.0736580 0.997284i \(-0.476533\pi\)
0.0736580 + 0.997284i \(0.476533\pi\)
\(710\) 10912.7 + 3971.91i 0.576828 + 0.209948i
\(711\) −5534.82 + 9586.59i −0.291944 + 0.505662i
\(712\) −1641.85 + 9311.41i −0.0864200 + 0.490112i
\(713\) 456.581 + 790.821i 0.0239819 + 0.0415379i
\(714\) −794.888 + 1376.79i −0.0416638 + 0.0721638i
\(715\) −2546.52 2136.78i −0.133195 0.111764i
\(716\) 955.880 + 5421.07i 0.0498923 + 0.282954i
\(717\) 834.593 + 1445.56i 0.0434706 + 0.0752933i
\(718\) −21432.2 + 7800.69i −1.11399 + 0.405458i
\(719\) −7257.99 + 2641.69i −0.376463 + 0.137021i −0.523320 0.852136i \(-0.675307\pi\)
0.146856 + 0.989158i \(0.453084\pi\)
\(720\) −785.492 + 4454.75i −0.0406577 + 0.230582i
\(721\) 13121.6 11010.3i 0.677771 0.568717i
\(722\) 23155.7 19429.9i 1.19358 1.00153i
\(723\) 3757.57 21310.3i 0.193286 1.09618i
\(724\) 9897.72 3602.48i 0.508075 0.184924i
\(725\) 17176.9 6251.87i 0.879907 0.320260i
\(726\) −3577.44 6196.32i −0.182881 0.316759i
\(727\) −86.9933 493.364i −0.00443797 0.0251690i 0.982508 0.186218i \(-0.0596232\pi\)
−0.986946 + 0.161050i \(0.948512\pi\)
\(728\) 782.950 + 656.973i 0.0398600 + 0.0334465i
\(729\) −7635.68 + 13225.4i −0.387933 + 0.671919i
\(730\) 18897.6 + 32731.7i 0.958127 + 1.65952i
\(731\) 724.915 4111.19i 0.0366784 0.208014i
\(732\) −2103.88 + 3644.03i −0.106232 + 0.183999i
\(733\) −27146.1 9880.36i −1.36789 0.497871i −0.449405 0.893328i \(-0.648364\pi\)
−0.918484 + 0.395457i \(0.870586\pi\)
\(734\) 26267.0 1.32089
\(735\) −11272.3 4102.78i −0.565693 0.205896i
\(736\) −220.575 1250.94i −0.0110469 0.0626500i
\(737\) −10705.9 + 8983.31i −0.535083 + 0.448988i
\(738\) 7255.43 + 6088.03i 0.361892 + 0.303663i
\(739\) 30922.7 1.53925 0.769627 0.638494i \(-0.220442\pi\)
0.769627 + 0.638494i \(0.220442\pi\)
\(740\) 16820.9 3068.49i 0.835606 0.152433i
\(741\) 5186.16 0.257110
\(742\) −8253.02 6925.10i −0.408326 0.342626i
\(743\) 5372.34 4507.93i 0.265265 0.222584i −0.500447 0.865767i \(-0.666831\pi\)
0.765712 + 0.643183i \(0.222387\pi\)
\(744\) −111.232 630.826i −0.00548112 0.0310850i
\(745\) 8385.19 + 3051.96i 0.412362 + 0.150087i
\(746\) 16331.3 0.801518
\(747\) −6062.42 2206.54i −0.296937 0.108076i
\(748\) −625.731 + 1083.80i −0.0305869 + 0.0529780i
\(749\) −2064.77 + 11709.9i −0.100728 + 0.571257i
\(750\) 7320.51 + 12679.5i 0.356410 + 0.617320i
\(751\) −4575.84 + 7925.59i −0.222337 + 0.385099i −0.955517 0.294936i \(-0.904702\pi\)
0.733180 + 0.680034i \(0.238035\pi\)
\(752\) −5158.51 4328.50i −0.250148 0.209899i
\(753\) 1904.08 + 10798.6i 0.0921493 + 0.522604i
\(754\) 779.432 + 1350.01i 0.0376462 + 0.0652051i
\(755\) −3409.09 + 1240.81i −0.164331 + 0.0598114i
\(756\) −6964.78 + 2534.97i −0.335062 + 0.121952i
\(757\) −1343.03 + 7616.69i −0.0644824 + 0.365698i 0.935443 + 0.353478i \(0.115001\pi\)
−0.999925 + 0.0122202i \(0.996110\pi\)
\(758\) −9607.01 + 8061.24i −0.460346 + 0.386276i
\(759\) −1842.89 + 1546.37i −0.0881325 + 0.0739519i
\(760\) −3911.09 + 22180.9i −0.186671 + 1.05867i
\(761\) −25198.3 + 9171.43i −1.20031 + 0.436878i −0.863333 0.504634i \(-0.831627\pi\)
−0.336979 + 0.941512i \(0.609405\pi\)
\(762\) 9262.28 3371.19i 0.440337 0.160270i
\(763\) −10885.1 18853.6i −0.516471 0.894555i
\(764\) 154.384 + 875.556i 0.00731076 + 0.0414614i
\(765\) 3891.45 + 3265.31i 0.183916 + 0.154324i
\(766\) −9324.34 + 16150.2i −0.439820 + 0.761790i
\(767\) −3267.32 5659.16i −0.153815 0.266415i
\(768\) −154.727 + 877.502i −0.00726984 + 0.0412293i
\(769\) 4535.66 7856.00i 0.212692 0.368393i −0.739864 0.672756i \(-0.765110\pi\)
0.952556 + 0.304363i \(0.0984436\pi\)
\(770\) 7899.62 + 2875.23i 0.369717 + 0.134566i