Properties

Label 74.4.f.b.49.2
Level $74$
Weight $4$
Character 74.49
Analytic conductor $4.366$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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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 49.2
Character \(\chi\) \(=\) 74.49
Dual form 74.4.f.b.71.2

$q$-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 \(\left(\mathbb{Z}/74\mathbb{Z}\right)^\times\).

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{7}{9}\right)\)

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 0.349098 0.937086i \(-0.386488\pi\)
−0.862230 + 0.506518i \(0.830933\pi\)
\(4\) 0.694593 3.93923i 0.0868241 0.492404i
\(5\) −17.8476 + 6.49601i −1.59634 + 0.581021i −0.978674 0.205419i \(-0.934144\pi\)
−0.617667 + 0.786440i \(0.711922\pi\)
\(6\) −6.96124 −0.473653
\(7\) −11.9434 + 4.34706i −0.644885 + 0.234719i −0.643697 0.765280i \(-0.722600\pi\)
−0.00118793 + 0.999999i \(0.500378\pi\)
\(8\) −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 0.960323 0.278891i \(-0.0899670\pi\)
−0.721688 + 0.692218i \(0.756634\pi\)
\(12\) −10.6652 + 8.94920i −0.256566 + 0.215284i
\(13\) 1.74549 9.89915i 0.0372393 0.211195i −0.960510 0.278244i \(-0.910248\pi\)
0.997750 + 0.0670497i \(0.0213586\pi\)
\(14\) −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 0.954427 0.298443i \(-0.0964674\pi\)
−0.998942 + 0.0459884i \(0.985356\pi\)
\(18\) −22.8056 19.1361i −0.298629 0.250580i
\(19\) −113.552 95.2818i −1.37109 1.15048i −0.972380 0.233405i \(-0.925013\pi\)
−0.398711 0.917076i \(-0.630542\pi\)
\(20\) 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 −0.761923 0.647667i \(-0.775745\pi\)
0.941858 + 0.336011i \(0.109078\pi\)
\(24\) −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 0.963043 0.269349i \(-0.0868084\pi\)
−0.714784 + 0.699345i \(0.753475\pi\)
\(30\) 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 0.678221 + 0.734858i \(0.262751\pi\)
−0.888656 + 0.458575i \(0.848360\pi\)
\(42\) 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 −0.329278 0.944233i \(-0.606805\pi\)
0.982369 0.186953i \(-0.0598612\pi\)
\(48\) 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 0.801912 0.597442i \(-0.203816\pi\)
0.230272 + 0.973126i \(0.426038\pi\)
\(54\) 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 −0.435661 0.900111i \(-0.643485\pi\)
−0.912316 + 0.409487i \(0.865708\pi\)
\(60\) 132.215 229.004i 0.284482 0.492737i
\(61\) −52.4813 + 297.636i −0.110156 + 0.624728i 0.878879 + 0.477046i \(0.158292\pi\)
−0.989035 + 0.147682i \(0.952819\pi\)
\(62\) 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 −0.920744 0.390168i \(-0.872417\pi\)
−0.454535 + 0.890729i \(0.650195\pi\)
\(68\) −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 0.425720 0.904855i \(-0.360021\pi\)
−0.817182 + 0.576379i \(0.804465\pi\)
\(72\) −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 0.207485 0.978238i \(-0.433472\pi\)
0.787742 + 0.616005i \(0.211250\pi\)
\(80\) 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 −0.993265 0.115868i \(-0.963035\pi\)
0.893734 0.448597i \(-0.148076\pi\)
\(84\) 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 0.904335 0.426822i \(-0.140367\pi\)
0.418405 + 0.908261i \(0.362589\pi\)
\(90\) 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 0.222397 0.974956i \(-0.428612\pi\)
0.733139 0.680079i \(-0.238055\pi\)
\(98\) −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 −0.0161953 + 0.999869i \(0.505155\pi\)
−0.857814 + 0.513960i \(0.828178\pi\)
\(102\) 21.7201 + 123.181i 0.0210845 + 0.119576i
\(103\) −673.842 1167.13i −0.644618 1.11651i −0.984390 0.176003i \(-0.943683\pi\)
0.339772 0.940508i \(-0.389650\pi\)
\(104\) −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 0.819149 + 0.573581i \(0.194446\pi\)
−0.965924 + 0.258824i \(0.916665\pi\)
\(108\) 446.717 + 374.840i 0.398012 + 0.333972i
\(109\) 1312.12 1101.00i 1.15301 0.967492i 0.153226 0.988191i \(-0.451034\pi\)
0.999786 + 0.0206995i \(0.00658933\pi\)
\(110\) −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 0.00236644 0.999997i \(-0.499247\pi\)
0.985216 + 0.171317i \(0.0548023\pi\)
\(114\) 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 −0.167587 0.985857i \(-0.553597\pi\)
−0.762076 + 0.647488i \(0.775820\pi\)
\(128\) 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 0.999472 + 0.0324818i \(0.0103411\pi\)
−0.928087 + 0.372363i \(0.878548\pi\)
\(132\) −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 0.618700 0.785627i \(-0.287660\pi\)
−0.989723 + 0.142996i \(0.954326\pi\)
\(138\) −138.163 + 239.306i −0.0852264 + 0.147617i
\(139\) −151.924 861.606i −0.0927054 0.525759i −0.995426 0.0955320i \(-0.969545\pi\)
0.902721 0.430227i \(-0.141566\pi\)
\(140\) −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 0.681365 0.731944i \(-0.261387\pi\)
−0.602507 + 0.798114i \(0.705831\pi\)
\(152\) −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 −0.994503 0.104709i \(-0.966609\pi\)
0.898714 0.438534i \(-0.144502\pi\)
\(158\) 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 −0.718549 0.695476i \(-0.755194\pi\)
−0.997484 + 0.0708909i \(0.977416\pi\)
\(164\) 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 0.441516 0.897254i \(-0.354441\pi\)
−0.806954 + 0.590614i \(0.798885\pi\)
\(168\) −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 −0.272856 0.962055i \(-0.587968\pi\)
0.900058 + 0.435770i \(0.143524\pi\)
\(174\) −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 0.734559 + 0.678545i \(0.237389\pi\)
−0.922335 + 0.386390i \(0.873722\pi\)
\(182\) 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 0.929021 0.370028i \(-0.120652\pi\)
−0.784964 + 0.619541i \(0.787319\pi\)
\(194\) −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 −0.910791 0.412869i \(-0.864527\pi\)
0.248439 + 0.968647i \(0.420082\pi\)
\(198\) 90.0138 510.493i 0.0323081 0.183228i
\(199\) −1590.38 + 2754.62i −0.566529 + 0.981257i 0.430377 + 0.902649i \(0.358381\pi\)
−0.996906 + 0.0786076i \(0.974953\pi\)
\(200\) −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 0.712961 0.701204i \(-0.247354\pi\)
−0.963741 + 0.266840i \(0.914020\pi\)
\(212\) 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 0.00353728 0.999994i \(-0.498874\pi\)
0.645493 + 0.763766i \(0.276652\pi\)
\(228\) 2063.76 0.599456
\(229\) 836.564 304.485i 0.241405 0.0878642i −0.218484 0.975840i \(-0.570111\pi\)
0.459889 + 0.887976i \(0.347889\pi\)
\(230\) 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 −0.966984 0.254837i \(-0.917978\pi\)
0.262796 0.964851i \(-0.415355\pi\)
\(234\) −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 0.994001 0.109372i \(-0.0348838\pi\)
−0.971463 + 0.237193i \(0.923773\pi\)
\(240\) −810.262 679.891i −0.217926 0.182861i
\(241\) −4762.49 3996.21i −1.27294 1.06813i −0.994176 0.107767i \(-0.965630\pi\)
−0.278767 0.960359i \(-0.589926\pi\)
\(242\) −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 0.993242 0.116059i \(-0.0370262\pi\)
−0.597131 + 0.802143i \(0.703693\pi\)
\(252\) 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 −0.866215 0.499672i \(-0.833454\pi\)
0.341664 + 0.939822i \(0.389010\pi\)
\(258\) 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 0.754441 + 0.656368i \(0.227908\pi\)
−0.933433 + 0.358751i \(0.883203\pi\)
\(264\) −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 0.447982 + 0.894043i \(0.352143\pi\)
−0.998255 + 0.0590580i \(0.981190\pi\)
\(270\) −2768.94 4795.94i −0.624119 1.08101i
\(271\) −4688.61 + 3934.21i −1.05097 + 0.881868i −0.993195 0.116461i \(-0.962845\pi\)
−0.0577744 + 0.998330i \(0.518400\pi\)
\(272\) −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 0.859324 0.511432i \(-0.170885\pi\)
−0.354442 + 0.935078i \(0.615329\pi\)
\(278\) −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 0.683547 0.729907i \(-0.260437\pi\)
0.0544518 + 0.998516i \(0.482659\pi\)
\(282\) −1464.90 + 2537.27i −0.309338 + 0.535789i
\(283\) 1052.02 5966.31i 0.220976 1.25322i −0.649254 0.760571i \(-0.724919\pi\)
0.870230 0.492645i \(-0.163970\pi\)
\(284\) −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 0.703935 0.710264i \(-0.251424\pi\)
−0.577236 + 0.816577i \(0.695869\pi\)
\(294\) 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 0.924105 0.382140i \(-0.124813\pi\)
−0.792995 + 0.609228i \(0.791479\pi\)
\(308\) −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 0.429323 0.903151i \(-0.358752\pi\)
−0.251654 + 0.967817i \(0.580975\pi\)
\(312\) 263.014 + 95.7293i 0.0477251 + 0.0173705i
\(313\) 168.024 + 952.910i 0.0303427 + 0.172082i 0.996213 0.0869432i \(-0.0277099\pi\)
−0.965871 + 0.259025i \(0.916599\pi\)
\(314\) −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 0.187330 0.982297i \(-0.440017\pi\)
−0.487905 + 0.872897i \(0.662239\pi\)
\(318\) −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 −0.948319 0.317318i \(-0.897218\pi\)
0.147823 + 0.989014i \(0.452773\pi\)
\(332\) −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 0.826109 + 0.563510i \(0.190549\pi\)
−0.969021 + 0.246980i \(0.920562\pi\)
\(338\) 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 −0.935460 0.353432i \(-0.885015\pi\)
0.773811 + 0.633416i \(0.218348\pi\)
\(348\) −1014.46 369.233i −0.156266 0.0568763i
\(349\) −4600.76 1674.54i −0.705653 0.256837i −0.0358307 0.999358i \(-0.511408\pi\)
−0.669823 + 0.742521i \(0.733630\pi\)
\(350\) 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 −0.951638 0.307220i \(-0.900601\pi\)
0.789172 0.614172i \(-0.210510\pi\)
\(354\) 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 −0.891347 0.453322i \(-0.850239\pi\)
0.0530853 0.998590i \(-0.483094\pi\)
\(360\) 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 0.945127 + 0.326704i \(0.105938\pi\)
0.485860 + 0.874037i \(0.338506\pi\)
\(368\) −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 0.963745 0.266826i \(-0.0859748\pi\)
−0.0954196 + 0.995437i \(0.530419\pi\)
\(374\) 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 −0.965263 0.261282i \(-0.915855\pi\)
0.817687 0.575664i \(-0.195256\pi\)
\(380\) 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 −0.663113 0.748519i \(-0.730765\pi\)
0.879131 0.476580i \(-0.158124\pi\)
\(384\) 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 −0.0380795 0.999275i \(-0.512124\pi\)
−0.990706 + 0.136021i \(0.956568\pi\)
\(390\) −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 −0.745349 0.666674i \(-0.767717\pi\)
0.950031 + 0.312154i \(0.101051\pi\)
\(398\) 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 −0.904321 0.426852i \(-0.859622\pi\)
0.263334 + 0.964705i \(0.415178\pi\)
\(410\) −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 −0.278662 + 0.960389i \(0.589891\pi\)
−0.994188 + 0.107658i \(0.965665\pi\)
\(420\) −583.614 + 3309.84i −0.0678034 + 0.384532i
\(421\) 2925.56 5067.22i 0.338677 0.586606i −0.645507 0.763754i \(-0.723354\pi\)
0.984184 + 0.177148i \(0.0566872\pi\)
\(422\) −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 0.599605 + 0.800296i \(0.295324\pi\)
−0.837162 + 0.546956i \(0.815787\pi\)
\(432\) 1786.87 1499.36i 0.199006 0.166986i
\(433\) 4829.26 + 8364.52i 0.535980 + 0.928344i 0.999115 + 0.0420566i \(0.0133910\pi\)
−0.463136 + 0.886287i \(0.653276\pi\)
\(434\) −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 −0.157961 0.987445i \(-0.550492\pi\)
0.513713 + 0.857962i \(0.328270\pi\)
\(440\) −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 −0.734138 0.679000i \(-0.762414\pi\)
−0.125930 + 0.992039i \(0.540191\pi\)
\(450\) −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 −0.824660 0.565629i \(-0.808633\pi\)
0.968383 0.249468i \(-0.0802556\pi\)
\(458\) 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 0.988637 + 0.150320i \(0.0480305\pi\)
−0.877603 + 0.479389i \(0.840858\pi\)
\(462\) 1180.15 + 990.261i 0.118843 + 0.0997210i
\(463\) −5043.72 4232.18i −0.506266 0.424808i 0.353547 0.935417i \(-0.384976\pi\)
−0.859813 + 0.510609i \(0.829420\pi\)
\(464\) −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 −0.675188 0.737646i \(-0.735937\pi\)
0.976414 + 0.215907i \(0.0692708\pi\)
\(468\) −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 −0.177371 0.984144i \(-0.556759\pi\)
0.938393 + 0.345571i \(0.112315\pi\)
\(480\) −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 −0.787423 0.616413i \(-0.788585\pi\)
0.927541 + 0.373722i \(0.121919\pi\)
\(492\) −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 0.423348 0.905967i \(-0.360855\pi\)
−0.818690 + 0.574236i \(0.805299\pi\)
\(500\) 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 0.253716 0.967279i \(-0.418347\pi\)
−0.427397 + 0.904064i \(0.640569\pi\)
\(504\) 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 −0.855031 0.518577i \(-0.826462\pi\)
0.626103 0.779741i \(-0.284649\pi\)
\(510\) −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 0.975303 + 0.220873i \(0.0708906\pi\)
0.386877 + 0.922131i \(0.373554\pi\)
\(522\) 400.856 2273.37i 0.0336111 0.190618i
\(523\) 19696.8 7169.07i 1.64681 0.599391i 0.658602 0.752491i \(-0.271148\pi\)
0.988211 + 0.153101i \(0.0489259\pi\)
\(524\) 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 −0.821734 0.569871i \(-0.806993\pi\)
0.904390 + 0.426707i \(0.140326\pi\)
\(542\) −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 −0.966778 0.255618i \(-0.917721\pi\)
0.262017 0.965063i \(-0.415612\pi\)
\(548\) −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 −0.167044 0.985949i \(-0.553422\pi\)
0.941964 + 0.335714i \(0.108978\pi\)
\(558\) −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 −0.843333 0.537392i \(-0.819410\pi\)
−0.0437283 0.999043i \(-0.513924\pi\)
\(564\) 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 −0.681637 0.731691i \(-0.738731\pi\)
0.974481 + 0.224469i \(0.0720648\pi\)
\(570\) −18416.6 6703.10i −1.35331 0.492565i
\(571\) −1360.30 495.108i −0.0996965 0.0362866i 0.291690 0.956513i \(-0.405782\pi\)
−0.391387 + 0.920226i \(0.628005\pi\)
\(572\) −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 0.328782 0.944406i \(-0.393362\pi\)
−0.355191 + 0.934794i \(0.615584\pi\)
\(578\) 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 −0.883902 0.467672i \(-0.845093\pi\)
−0.376495 + 0.926419i \(0.622871\pi\)
\(588\) 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 −0.0163601 0.999866i \(-0.505208\pi\)
0.630169 + 0.776458i \(0.282986\pi\)
\(600\) 3282.03 + 5684.65i 0.223314 + 0.386791i
\(601\) −2424.80 13751.7i −0.164575 0.933353i −0.949501 0.313763i \(-0.898410\pi\)
0.784926 0.619590i \(-0.212701\pi\)
\(602\) 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 0.781912 0.623389i \(-0.214245\pi\)
0.198272 + 0.980147i \(0.436467\pi\)
\(608\) 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 −0.153423 0.988161i \(-0.549030\pi\)
−0.752706 + 0.658356i \(0.771252\pi\)
\(614\) 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 0.137337 0.990524i \(-0.456146\pi\)
0.999324 + 0.0367525i \(0.0117013\pi\)
\(618\) 4690.78 + 8124.67i 0.305325 + 0.528838i
\(619\) 6336.44 10975.0i 0.411443 0.712640i −0.583605 0.812038i \(-0.698358\pi\)
0.995048 + 0.0993977i \(0.0316916\pi\)
\(620\) 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 −0.969658 0.244466i \(-0.921387\pi\)
0.0723723 + 0.997378i \(0.476943\pi\)
\(632\) −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 −0.767153 0.641465i \(-0.778327\pi\)
0.498505 + 0.866887i \(0.333883\pi\)
\(642\) 1130.88 6413.53i 0.0695206 0.394271i
\(643\) −3711.11 + 6427.83i −0.227608 + 0.394229i −0.957099 0.289762i \(-0.906424\pi\)
0.729491 + 0.683991i \(0.239757\pi\)
\(644\) 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 −0.887957 0.459926i \(-0.847876\pi\)
−0.607131 0.794602i \(-0.707680\pi\)
\(648\) −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 0.721942 + 0.691954i \(0.243250\pi\)
−0.915066 + 0.403305i \(0.867861\pi\)
\(654\) −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 0.432797 0.901491i \(-0.357527\pi\)
0.911009 + 0.412386i \(0.135304\pi\)
\(660\) 4604.30 0.271549
\(661\) 28986.9 10550.4i 1.70569 0.620820i 0.709237 0.704970i \(-0.249040\pi\)
0.996453 + 0.0841502i \(0.0268175\pi\)
\(662\) −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 −0.735088 0.677972i \(-0.762859\pi\)
−0.127318 + 0.991862i \(0.540637\pi\)
\(674\) 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 −0.996868 0.0790839i \(-0.974801\pi\)
0.429945 0.902855i \(-0.358533\pi\)
\(678\) −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 −0.994272 0.106884i \(-0.965913\pi\)
0.897753 0.440499i \(-0.145198\pi\)
\(684\) 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 −0.00129623 0.999999i \(-0.500413\pi\)
0.984582 + 0.174925i \(0.0559682\pi\)
\(692\) −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 −0.806308 0.591496i \(-0.798538\pi\)
0.442496 + 0.896771i \(0.354093\pi\)
\(702\) 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 0.146856 0.989158i \(-0.453084\pi\)
−0.523320 + 0.852136i \(0.675307\pi\)
\(720\) −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 −0.986946 0.161050i \(-0.948512\pi\)
0.982508 + 0.186218i \(0.0596232\pi\)
\(728\) 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 −0.918484 0.395457i \(-0.870586\pi\)
−0.449405 + 0.893328i \(0.648364\pi\)
\(734\) 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 0.765712 0.643183i \(-0.222387\pi\)
−0.500447 + 0.865767i \(0.666831\pi\)
\(744\) −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 0.733180 0.680034i \(-0.238035\pi\)
−0.955517 + 0.294936i \(0.904702\pi\)
\(752\) −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 −0.999925 0.0122202i \(-0.996110\pi\)
0.935443 0.353478i \(-0.115001\pi\)
\(758\) −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 −0.336979 0.941512i \(-0.609405\pi\)
−0.863333 + 0.504634i \(0.831627\pi\)
\(762\) 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 0.952556 0.304363i \(-0.0984436\pi\)
−0.739864 + 0.672756i \(0.765110\pi\)
\(770\) 7899.62 2875.23i 0.369717 0.134566i