Properties

Label 74.4.f.b.33.4
Level $74$
Weight $4$
Character 74.33
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 33.4
Character \(\chi\) \(=\) 74.33
Dual form 74.4.f.b.9.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.347296 - 1.96962i) q^{2} +(0.551654 + 3.12858i) q^{3} +(-3.75877 - 1.36808i) q^{4} +(7.17496 - 6.02051i) q^{5} +6.35370 q^{6} +(7.01886 - 5.88953i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(15.8880 - 5.78275i) q^{9} +O(q^{10})\) \(q+(0.347296 - 1.96962i) q^{2} +(0.551654 + 3.12858i) q^{3} +(-3.75877 - 1.36808i) q^{4} +(7.17496 - 6.02051i) q^{5} +6.35370 q^{6} +(7.01886 - 5.88953i) q^{7} +(-4.00000 + 6.92820i) q^{8} +(15.8880 - 5.78275i) q^{9} +(-9.36625 - 16.2228i) q^{10} +(21.0546 - 36.4676i) q^{11} +(2.20662 - 12.5143i) q^{12} +(47.5652 + 17.3123i) q^{13} +(-9.16248 - 15.8699i) q^{14} +(22.7938 + 19.1262i) q^{15} +(12.2567 + 10.2846i) q^{16} +(-120.345 + 43.8019i) q^{17} +(-5.87196 - 33.3015i) q^{18} +(-19.9417 - 113.095i) q^{19} +(-35.2056 + 12.8138i) q^{20} +(22.2979 + 18.7101i) q^{21} +(-64.5150 - 54.1345i) q^{22} +(51.0336 + 88.3927i) q^{23} +(-23.8821 - 8.69237i) q^{24} +(-6.47246 + 36.7071i) q^{25} +(50.6179 - 87.6727i) q^{26} +(69.7439 + 120.800i) q^{27} +(-34.4396 + 12.5350i) q^{28} +(-61.2938 + 106.164i) q^{29} +(45.5875 - 38.2525i) q^{30} -59.7600 q^{31} +(24.5134 - 20.5692i) q^{32} +(125.707 + 45.7536i) q^{33} +(44.4776 + 252.245i) q^{34} +(14.9021 - 84.5143i) q^{35} -67.6305 q^{36} +(29.1088 + 223.172i) q^{37} -229.679 q^{38} +(-27.9235 + 158.362i) q^{39} +(13.0115 + 73.7916i) q^{40} +(-76.1491 - 27.7160i) q^{41} +(44.5957 - 37.4203i) q^{42} +39.8186 q^{43} +(-129.030 + 108.269i) q^{44} +(79.1806 - 137.145i) q^{45} +(191.823 - 69.8180i) q^{46} +(-162.796 - 281.972i) q^{47} +(-25.4148 + 44.0197i) q^{48} +(-44.9834 + 255.113i) q^{49} +(70.0511 + 25.4965i) q^{50} +(-203.427 - 352.345i) q^{51} +(-155.102 - 130.146i) q^{52} +(-400.552 - 336.103i) q^{53} +(262.151 - 95.4153i) q^{54} +(-68.4877 - 388.413i) q^{55} +(12.7284 + 72.1862i) q^{56} +(342.826 - 124.778i) q^{57} +(187.815 + 157.596i) q^{58} +(135.587 + 113.771i) q^{59} +(-59.5103 - 103.075i) q^{60} +(195.761 + 71.2510i) q^{61} +(-20.7544 + 117.704i) q^{62} +(77.4579 - 134.161i) q^{63} +(-32.0000 - 55.4256i) q^{64} +(445.508 - 162.152i) q^{65} +(133.775 - 231.704i) q^{66} +(-551.065 + 462.398i) q^{67} +512.273 q^{68} +(-248.391 + 208.425i) q^{69} +(-161.285 - 58.7030i) q^{70} +(-110.459 - 626.446i) q^{71} +(-23.4878 + 133.206i) q^{72} +578.930 q^{73} +(449.672 + 20.1735i) q^{74} -118.412 q^{75} +(-79.7667 + 452.380i) q^{76} +(-66.9977 - 379.963i) q^{77} +(302.215 + 109.997i) q^{78} +(-36.6732 + 30.7725i) q^{79} +149.860 q^{80} +(10.2453 - 8.59681i) q^{81} +(-81.0361 + 140.359i) q^{82} +(718.676 - 261.577i) q^{83} +(-58.2156 - 100.832i) q^{84} +(-599.760 + 1038.81i) q^{85} +(13.8288 - 78.4273i) q^{86} +(-365.956 - 133.197i) q^{87} +(168.437 + 291.741i) q^{88} +(-124.277 - 104.280i) q^{89} +(-242.623 - 203.585i) q^{90} +(435.815 - 158.624i) q^{91} +(-70.8951 - 402.066i) q^{92} +(-32.9668 - 186.964i) q^{93} +(-611.914 + 222.719i) q^{94} +(-823.970 - 691.393i) q^{95} +(77.8754 + 65.3452i) q^{96} +(407.223 + 705.332i) q^{97} +(486.853 + 177.200i) q^{98} +(123.632 - 701.151i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30q + 6q^{3} - 6q^{5} - 36q^{6} - 75q^{7} - 120q^{8} - 48q^{9} + O(q^{10}) \) \( 30q + 6q^{3} - 6q^{5} - 36q^{6} - 75q^{7} - 120q^{8} - 48q^{9} + 54q^{10} - 21q^{11} + 24q^{12} - 159q^{13} + 6q^{14} - 69q^{15} - 171q^{17} + 192q^{18} - 45q^{19} - 24q^{20} + 579q^{21} + 42q^{22} + 459q^{23} + 48q^{24} - 204q^{25} + 264q^{26} + 435q^{27} + 96q^{28} + 273q^{29} - 138q^{30} - 258q^{31} - 318q^{33} - 558q^{34} - 753q^{35} + 1296q^{36} - 891q^{37} - 2556q^{38} - 504q^{39} + 96q^{40} + 648q^{41} + 1158q^{42} - 216q^{43} + 84q^{44} + 1731q^{45} - 6q^{46} + 48q^{47} + 144q^{48} + 1731q^{49} + 240q^{50} + 972q^{51} + 48q^{52} - 135q^{53} + 360q^{54} + 765q^{55} + 408q^{56} - 405q^{57} - 762q^{58} + 1836q^{59} + 108q^{60} - 684q^{61} - 204q^{62} - 3264q^{63} - 960q^{64} - 1350q^{65} + 252q^{66} + 1095q^{67} - 432q^{68} - 5823q^{69} - 1146q^{70} + 4179q^{71} + 768q^{72} - 2658q^{73} - 1692q^{74} - 10416q^{75} - 180q^{76} + 267q^{77} + 1530q^{78} + 4866q^{79} - 864q^{80} - 2076q^{81} + 1800q^{82} - 186q^{83} + 504q^{84} + 753q^{85} + 648q^{86} - 525q^{87} - 168q^{88} + 687q^{89} + 768q^{90} + 3990q^{91} + 132q^{92} + 3753q^{93} + 6210q^{94} + 9000q^{95} - 384q^{96} + 7428q^{97} - 1542q^{98} + 6324q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.347296 1.96962i 0.122788 0.696364i
\(3\) 0.551654 + 3.12858i 0.106166 + 0.602096i 0.990748 + 0.135713i \(0.0433324\pi\)
−0.884582 + 0.466384i \(0.845557\pi\)
\(4\) −3.75877 1.36808i −0.469846 0.171010i
\(5\) 7.17496 6.02051i 0.641748 0.538491i −0.262806 0.964849i \(-0.584648\pi\)
0.904555 + 0.426358i \(0.140204\pi\)
\(6\) 6.35370 0.432314
\(7\) 7.01886 5.88953i 0.378983 0.318005i −0.433320 0.901240i \(-0.642658\pi\)
0.812303 + 0.583236i \(0.198214\pi\)
\(8\) −4.00000 + 6.92820i −0.176777 + 0.306186i
\(9\) 15.8880 5.78275i 0.588444 0.214176i
\(10\) −9.36625 16.2228i −0.296187 0.513011i
\(11\) 21.0546 36.4676i 0.577109 0.999582i −0.418700 0.908125i \(-0.637514\pi\)
0.995809 0.0914577i \(-0.0291526\pi\)
\(12\) 2.20662 12.5143i 0.0530829 0.301048i
\(13\) 47.5652 + 17.3123i 1.01479 + 0.369352i 0.795269 0.606257i \(-0.207330\pi\)
0.219517 + 0.975609i \(0.429552\pi\)
\(14\) −9.16248 15.8699i −0.174913 0.302957i
\(15\) 22.7938 + 19.1262i 0.392355 + 0.329225i
\(16\) 12.2567 + 10.2846i 0.191511 + 0.160697i
\(17\) −120.345 + 43.8019i −1.71694 + 0.624913i −0.997567 0.0697154i \(-0.977791\pi\)
−0.719368 + 0.694629i \(0.755569\pi\)
\(18\) −5.87196 33.3015i −0.0768908 0.436069i
\(19\) −19.9417 113.095i −0.240786 1.36557i −0.830079 0.557646i \(-0.811705\pi\)
0.589293 0.807920i \(-0.299406\pi\)
\(20\) −35.2056 + 12.8138i −0.393610 + 0.143262i
\(21\) 22.2979 + 18.7101i 0.231704 + 0.194423i
\(22\) −64.5150 54.1345i −0.625211 0.524615i
\(23\) 51.0336 + 88.3927i 0.462662 + 0.801354i 0.999093 0.0425901i \(-0.0135610\pi\)
−0.536430 + 0.843945i \(0.680228\pi\)
\(24\) −23.8821 8.69237i −0.203121 0.0739301i
\(25\) −6.47246 + 36.7071i −0.0517796 + 0.293657i
\(26\) 50.6179 87.6727i 0.381807 0.661309i
\(27\) 69.7439 + 120.800i 0.497120 + 0.861036i
\(28\) −34.4396 + 12.5350i −0.232446 + 0.0846033i
\(29\) −61.2938 + 106.164i −0.392482 + 0.679799i −0.992776 0.119981i \(-0.961717\pi\)
0.600294 + 0.799779i \(0.295050\pi\)
\(30\) 45.5875 38.2525i 0.277437 0.232797i
\(31\) −59.7600 −0.346233 −0.173116 0.984901i \(-0.555384\pi\)
−0.173116 + 0.984901i \(0.555384\pi\)
\(32\) 24.5134 20.5692i 0.135419 0.113630i
\(33\) 125.707 + 45.7536i 0.663114 + 0.241354i
\(34\) 44.4776 + 252.245i 0.224349 + 1.27234i
\(35\) 14.9021 84.5143i 0.0719692 0.408158i
\(36\) −67.6305 −0.313104
\(37\) 29.1088 + 223.172i 0.129337 + 0.991601i
\(38\) −229.679 −0.980497
\(39\) −27.9235 + 158.362i −0.114650 + 0.650212i
\(40\) 13.0115 + 73.7916i 0.0514323 + 0.291687i
\(41\) −76.1491 27.7160i −0.290061 0.105573i 0.192892 0.981220i \(-0.438213\pi\)
−0.482952 + 0.875647i \(0.660436\pi\)
\(42\) 44.5957 37.4203i 0.163840 0.137478i
\(43\) 39.8186 0.141216 0.0706079 0.997504i \(-0.477506\pi\)
0.0706079 + 0.997504i \(0.477506\pi\)
\(44\) −129.030 + 108.269i −0.442091 + 0.370959i
\(45\) 79.1806 137.145i 0.262301 0.454318i
\(46\) 191.823 69.8180i 0.614844 0.223785i
\(47\) −162.796 281.972i −0.505240 0.875102i −0.999982 0.00606172i \(-0.998070\pi\)
0.494741 0.869040i \(-0.335263\pi\)
\(48\) −25.4148 + 44.0197i −0.0764231 + 0.132369i
\(49\) −44.9834 + 255.113i −0.131147 + 0.743771i
\(50\) 70.0511 + 25.4965i 0.198134 + 0.0721150i
\(51\) −203.427 352.345i −0.558538 0.967416i
\(52\) −155.102 130.146i −0.413631 0.347077i
\(53\) −400.552 336.103i −1.03811 0.871081i −0.0463197 0.998927i \(-0.514749\pi\)
−0.991794 + 0.127846i \(0.959194\pi\)
\(54\) 262.151 95.4153i 0.660635 0.240452i
\(55\) −68.4877 388.413i −0.167907 0.952248i
\(56\) 12.7284 + 72.1862i 0.0303732 + 0.172255i
\(57\) 342.826 124.778i 0.796639 0.289953i
\(58\) 187.815 + 157.596i 0.425195 + 0.356781i
\(59\) 135.587 + 113.771i 0.299185 + 0.251046i 0.780005 0.625773i \(-0.215217\pi\)
−0.480820 + 0.876819i \(0.659661\pi\)
\(60\) −59.5103 103.075i −0.128046 0.221782i
\(61\) 195.761 + 71.2510i 0.410895 + 0.149553i 0.539193 0.842182i \(-0.318729\pi\)
−0.128298 + 0.991736i \(0.540952\pi\)
\(62\) −20.7544 + 117.704i −0.0425131 + 0.241104i
\(63\) 77.4579 134.161i 0.154901 0.268297i
\(64\) −32.0000 55.4256i −0.0625000 0.108253i
\(65\) 445.508 162.152i 0.850130 0.309422i
\(66\) 133.775 231.704i 0.249493 0.432134i
\(67\) −551.065 + 462.398i −1.00483 + 0.843149i −0.987646 0.156704i \(-0.949913\pi\)
−0.0171796 + 0.999852i \(0.505469\pi\)
\(68\) 512.273 0.913562
\(69\) −248.391 + 208.425i −0.433374 + 0.363644i
\(70\) −161.285 58.7030i −0.275389 0.100234i
\(71\) −110.459 626.446i −0.184635 1.04712i −0.926423 0.376484i \(-0.877133\pi\)
0.741788 0.670635i \(-0.233978\pi\)
\(72\) −23.4878 + 133.206i −0.0384454 + 0.218035i
\(73\) 578.930 0.928201 0.464101 0.885783i \(-0.346378\pi\)
0.464101 + 0.885783i \(0.346378\pi\)
\(74\) 449.672 + 20.1735i 0.706396 + 0.0316909i
\(75\) −118.412 −0.182307
\(76\) −79.7667 + 452.380i −0.120393 + 0.682783i
\(77\) −66.9977 379.963i −0.0991572 0.562348i
\(78\) 302.215 + 109.997i 0.438707 + 0.159676i
\(79\) −36.6732 + 30.7725i −0.0522286 + 0.0438250i −0.668528 0.743687i \(-0.733075\pi\)
0.616300 + 0.787512i \(0.288631\pi\)
\(80\) 149.860 0.209436
\(81\) 10.2453 8.59681i 0.0140539 0.0117926i
\(82\) −81.0361 + 140.359i −0.109133 + 0.189025i
\(83\) 718.676 261.577i 0.950421 0.345925i 0.180148 0.983639i \(-0.442342\pi\)
0.770273 + 0.637714i \(0.220120\pi\)
\(84\) −58.2156 100.832i −0.0756172 0.130973i
\(85\) −599.760 + 1038.81i −0.765330 + 1.32559i
\(86\) 13.8288 78.4273i 0.0173396 0.0983376i
\(87\) −365.956 133.197i −0.450973 0.164141i
\(88\) 168.437 + 291.741i 0.204039 + 0.353406i
\(89\) −124.277 104.280i −0.148014 0.124199i 0.565774 0.824561i \(-0.308578\pi\)
−0.713788 + 0.700362i \(0.753022\pi\)
\(90\) −242.623 203.585i −0.284164 0.238442i
\(91\) 435.815 158.624i 0.502043 0.182729i
\(92\) −70.8951 402.066i −0.0803404 0.455633i
\(93\) −32.9668 186.964i −0.0367581 0.208465i
\(94\) −611.914 + 222.719i −0.671427 + 0.244379i
\(95\) −823.970 691.393i −0.889868 0.746688i
\(96\) 77.8754 + 65.3452i 0.0827930 + 0.0694716i
\(97\) 407.223 + 705.332i 0.426261 + 0.738305i 0.996537 0.0831478i \(-0.0264974\pi\)
−0.570277 + 0.821453i \(0.693164\pi\)
\(98\) 486.853 + 177.200i 0.501832 + 0.182652i
\(99\) 123.632 701.151i 0.125510 0.711801i
\(100\) 74.5468 129.119i 0.0745468 0.129119i
\(101\) 481.296 + 833.629i 0.474166 + 0.821280i 0.999562 0.0295780i \(-0.00941634\pi\)
−0.525397 + 0.850858i \(0.676083\pi\)
\(102\) −764.634 + 278.304i −0.742256 + 0.270159i
\(103\) −370.009 + 640.875i −0.353962 + 0.613081i −0.986940 0.161090i \(-0.948499\pi\)
0.632978 + 0.774170i \(0.281833\pi\)
\(104\) −310.204 + 260.292i −0.292481 + 0.245421i
\(105\) 272.631 0.253391
\(106\) −801.104 + 672.206i −0.734057 + 0.615947i
\(107\) −1942.35 706.957i −1.75490 0.638730i −0.755040 0.655679i \(-0.772383\pi\)
−0.999856 + 0.0169489i \(0.994605\pi\)
\(108\) −96.8873 549.475i −0.0863239 0.489567i
\(109\) −101.675 + 576.629i −0.0893462 + 0.506707i 0.906988 + 0.421157i \(0.138376\pi\)
−0.996334 + 0.0855501i \(0.972735\pi\)
\(110\) −788.810 −0.683728
\(111\) −682.154 + 214.183i −0.583308 + 0.183147i
\(112\) 146.600 0.123682
\(113\) −309.693 + 1756.36i −0.257818 + 1.46216i 0.530916 + 0.847425i \(0.321848\pi\)
−0.788734 + 0.614735i \(0.789263\pi\)
\(114\) −126.703 718.571i −0.104095 0.590354i
\(115\) 898.333 + 326.966i 0.728434 + 0.265128i
\(116\) 375.630 315.191i 0.300659 0.252283i
\(117\) 855.828 0.676251
\(118\) 271.174 227.542i 0.211556 0.177516i
\(119\) −586.711 + 1016.21i −0.451964 + 0.782825i
\(120\) −223.686 + 81.4149i −0.170163 + 0.0619344i
\(121\) −221.092 382.943i −0.166110 0.287711i
\(122\) 208.324 360.828i 0.154597 0.267769i
\(123\) 44.7039 253.528i 0.0327709 0.185853i
\(124\) 224.624 + 81.7565i 0.162676 + 0.0592093i
\(125\) 759.946 + 1316.27i 0.543773 + 0.941843i
\(126\) −237.345 199.156i −0.167812 0.140811i
\(127\) 822.896 + 690.492i 0.574962 + 0.482451i 0.883288 0.468830i \(-0.155324\pi\)
−0.308326 + 0.951281i \(0.599769\pi\)
\(128\) −120.281 + 43.7786i −0.0830579 + 0.0302306i
\(129\) 21.9661 + 124.576i 0.0149923 + 0.0850255i
\(130\) −164.653 933.794i −0.111085 0.629993i
\(131\) 1553.69 565.497i 1.03623 0.377158i 0.232782 0.972529i \(-0.425217\pi\)
0.803451 + 0.595371i \(0.202995\pi\)
\(132\) −409.909 343.954i −0.270288 0.226798i
\(133\) −806.043 676.351i −0.525510 0.440955i
\(134\) 719.364 + 1245.98i 0.463758 + 0.803253i
\(135\) 1227.69 + 446.842i 0.782686 + 0.284874i
\(136\) 177.911 1008.98i 0.112174 0.636172i
\(137\) 1346.98 2333.03i 0.840001 1.45492i −0.0498921 0.998755i \(-0.515888\pi\)
0.889893 0.456169i \(-0.150779\pi\)
\(138\) 324.252 + 561.620i 0.200015 + 0.346437i
\(139\) −646.142 + 235.177i −0.394281 + 0.143507i −0.531549 0.847027i \(-0.678390\pi\)
0.137268 + 0.990534i \(0.456168\pi\)
\(140\) −171.636 + 297.282i −0.103614 + 0.179464i
\(141\) 792.365 664.873i 0.473257 0.397109i
\(142\) −1272.22 −0.751847
\(143\) 1632.81 1370.09i 0.954840 0.801206i
\(144\) 254.208 + 92.5240i 0.147111 + 0.0535440i
\(145\) 199.380 + 1130.74i 0.114191 + 0.647607i
\(146\) 201.060 1140.27i 0.113972 0.646366i
\(147\) −822.959 −0.461745
\(148\) 195.904 878.675i 0.108805 0.488018i
\(149\) −2325.87 −1.27881 −0.639406 0.768869i \(-0.720820\pi\)
−0.639406 + 0.768869i \(0.720820\pi\)
\(150\) −41.1240 + 233.226i −0.0223851 + 0.126952i
\(151\) −219.430 1244.45i −0.118258 0.670674i −0.985085 0.172066i \(-0.944956\pi\)
0.866827 0.498608i \(-0.166155\pi\)
\(152\) 863.311 + 314.220i 0.460683 + 0.167675i
\(153\) −1658.74 + 1391.85i −0.876478 + 0.735453i
\(154\) −771.649 −0.403774
\(155\) −428.776 + 359.786i −0.222194 + 0.186443i
\(156\) 321.611 557.046i 0.165061 0.285893i
\(157\) 336.655 122.533i 0.171134 0.0622876i −0.255032 0.966933i \(-0.582086\pi\)
0.426166 + 0.904645i \(0.359864\pi\)
\(158\) 47.8735 + 82.9194i 0.0241051 + 0.0417513i
\(159\) 830.560 1438.57i 0.414262 0.717524i
\(160\) 52.0458 295.167i 0.0257161 0.145844i
\(161\) 878.789 + 319.853i 0.430176 + 0.156571i
\(162\) −13.3743 23.1649i −0.00648630 0.0112346i
\(163\) 2593.98 + 2176.61i 1.24648 + 1.04592i 0.996989 + 0.0775447i \(0.0247080\pi\)
0.249492 + 0.968377i \(0.419736\pi\)
\(164\) 248.309 + 208.356i 0.118230 + 0.0992066i
\(165\) 1177.40 428.539i 0.555519 0.202192i
\(166\) −265.612 1506.36i −0.124190 0.704315i
\(167\) −358.987 2035.92i −0.166343 0.943377i −0.947669 0.319254i \(-0.896568\pi\)
0.781326 0.624123i \(-0.214543\pi\)
\(168\) −218.819 + 79.6436i −0.100490 + 0.0365752i
\(169\) 279.736 + 234.726i 0.127326 + 0.106839i
\(170\) 1837.77 + 1542.07i 0.829121 + 0.695715i
\(171\) −970.833 1681.53i −0.434160 0.751988i
\(172\) −149.669 54.4750i −0.0663497 0.0241493i
\(173\) 434.457 2463.93i 0.190931 1.08283i −0.727163 0.686465i \(-0.759162\pi\)
0.918095 0.396361i \(-0.129727\pi\)
\(174\) −389.442 + 674.534i −0.169676 + 0.293887i
\(175\) 170.758 + 295.762i 0.0737607 + 0.127757i
\(176\) 633.115 230.435i 0.271153 0.0986915i
\(177\) −281.145 + 486.957i −0.119391 + 0.206791i
\(178\) −248.553 + 208.561i −0.104662 + 0.0878219i
\(179\) −690.777 −0.288442 −0.144221 0.989546i \(-0.546068\pi\)
−0.144221 + 0.989546i \(0.546068\pi\)
\(180\) −485.247 + 407.170i −0.200934 + 0.168604i
\(181\) −3655.16 1330.37i −1.50103 0.546329i −0.544701 0.838630i \(-0.683357\pi\)
−0.956326 + 0.292301i \(0.905579\pi\)
\(182\) −161.071 913.478i −0.0656009 0.372041i
\(183\) −114.923 + 651.760i −0.0464226 + 0.263276i
\(184\) −816.537 −0.327152
\(185\) 1552.46 + 1426.00i 0.616969 + 0.566711i
\(186\) −379.697 −0.149681
\(187\) −936.459 + 5310.92i −0.366207 + 2.07686i
\(188\) 226.154 + 1282.59i 0.0877341 + 0.497565i
\(189\) 1200.98 + 437.120i 0.462213 + 0.168232i
\(190\) −1647.94 + 1382.79i −0.629232 + 0.527988i
\(191\) −1300.97 −0.492853 −0.246426 0.969162i \(-0.579256\pi\)
−0.246426 + 0.969162i \(0.579256\pi\)
\(192\) 155.751 130.690i 0.0585435 0.0491238i
\(193\) 2089.53 3619.17i 0.779314 1.34981i −0.153024 0.988223i \(-0.548901\pi\)
0.932338 0.361589i \(-0.117766\pi\)
\(194\) 1530.66 557.114i 0.566469 0.206178i
\(195\) 753.071 + 1304.36i 0.276557 + 0.479010i
\(196\) 518.098 897.372i 0.188811 0.327031i
\(197\) 129.387 733.789i 0.0467940 0.265382i −0.952431 0.304756i \(-0.901425\pi\)
0.999225 + 0.0393736i \(0.0125363\pi\)
\(198\) −1338.06 487.014i −0.480262 0.174801i
\(199\) −2298.67 3981.41i −0.818836 1.41827i −0.906540 0.422119i \(-0.861286\pi\)
0.0877043 0.996147i \(-0.472047\pi\)
\(200\) −228.425 191.671i −0.0807603 0.0677659i
\(201\) −1750.65 1468.97i −0.614335 0.515488i
\(202\) 1809.08 658.452i 0.630131 0.229349i
\(203\) 195.043 + 1106.14i 0.0674351 + 0.382443i
\(204\) 282.597 + 1602.69i 0.0969891 + 0.550053i
\(205\) −713.231 + 259.595i −0.242996 + 0.0884434i
\(206\) 1133.77 + 951.350i 0.383465 + 0.321765i
\(207\) 1321.97 + 1109.27i 0.443882 + 0.372461i
\(208\) 404.943 + 701.382i 0.134989 + 0.233808i
\(209\) −4544.17 1653.94i −1.50396 0.547395i
\(210\) 94.6837 536.978i 0.0311133 0.176452i
\(211\) −2782.85 + 4820.04i −0.907960 + 1.57263i −0.0910661 + 0.995845i \(0.529027\pi\)
−0.816894 + 0.576788i \(0.804306\pi\)
\(212\) 1045.77 + 1811.32i 0.338790 + 0.586802i
\(213\) 1898.95 691.162i 0.610864 0.222336i
\(214\) −2067.00 + 3580.16i −0.660269 + 1.14362i
\(215\) 285.697 239.728i 0.0906249 0.0760433i
\(216\) −1115.90 −0.351517
\(217\) −419.447 + 351.958i −0.131216 + 0.110104i
\(218\) 1100.43 + 400.523i 0.341882 + 0.124435i
\(219\) 319.369 + 1811.23i 0.0985433 + 0.558867i
\(220\) −273.951 + 1553.65i −0.0839535 + 0.476124i
\(221\) −6482.54 −1.97314
\(222\) 184.949 + 1417.97i 0.0559142 + 0.428683i
\(223\) 3429.59 1.02988 0.514938 0.857227i \(-0.327815\pi\)
0.514938 + 0.857227i \(0.327815\pi\)
\(224\) 50.9135 288.745i 0.0151866 0.0861276i
\(225\) 109.434 + 620.631i 0.0324249 + 0.183891i
\(226\) 3351.79 + 1219.95i 0.986539 + 0.359071i
\(227\) 791.517 664.162i 0.231431 0.194194i −0.519696 0.854351i \(-0.673955\pi\)
0.751127 + 0.660157i \(0.229510\pi\)
\(228\) −1459.31 −0.423883
\(229\) 2281.94 1914.77i 0.658493 0.552541i −0.251142 0.967950i \(-0.580806\pi\)
0.909635 + 0.415409i \(0.136362\pi\)
\(230\) 955.986 1655.82i 0.274069 0.474701i
\(231\) 1151.79 419.216i 0.328061 0.119404i
\(232\) −490.351 849.312i −0.138763 0.240345i
\(233\) −3183.98 + 5514.81i −0.895233 + 1.55059i −0.0617168 + 0.998094i \(0.519658\pi\)
−0.833516 + 0.552495i \(0.813676\pi\)
\(234\) 297.226 1685.65i 0.0830354 0.470917i
\(235\) −2865.67 1043.02i −0.795471 0.289528i
\(236\) −353.992 613.132i −0.0976395 0.169117i
\(237\) −116.505 97.7596i −0.0319318 0.0267940i
\(238\) 1797.79 + 1508.52i 0.489636 + 0.410853i
\(239\) 1866.35 679.296i 0.505122 0.183849i −0.0768744 0.997041i \(-0.524494\pi\)
0.581996 + 0.813191i \(0.302272\pi\)
\(240\) 82.6708 + 468.850i 0.0222349 + 0.126100i
\(241\) −798.697 4529.64i −0.213480 1.21070i −0.883525 0.468384i \(-0.844836\pi\)
0.670045 0.742320i \(-0.266275\pi\)
\(242\) −831.035 + 302.472i −0.220748 + 0.0803456i
\(243\) 2917.60 + 2448.16i 0.770224 + 0.646294i
\(244\) −638.342 535.633i −0.167482 0.140534i
\(245\) 1213.16 + 2101.25i 0.316350 + 0.547935i
\(246\) −483.828 176.099i −0.125397 0.0456409i
\(247\) 1009.41 5724.62i 0.260028 1.47469i
\(248\) 239.040 414.029i 0.0612059 0.106012i
\(249\) 1214.83 + 2104.14i 0.309182 + 0.535520i
\(250\) 2856.46 1039.67i 0.722635 0.263018i
\(251\) −1784.80 + 3091.36i −0.448826 + 0.777389i −0.998310 0.0581150i \(-0.981491\pi\)
0.549484 + 0.835504i \(0.314824\pi\)
\(252\) −474.690 + 398.312i −0.118661 + 0.0995686i
\(253\) 4297.96 1.06803
\(254\) 1645.79 1380.98i 0.406560 0.341144i
\(255\) −3580.88 1303.33i −0.879385 0.320070i
\(256\) 44.4539 + 252.111i 0.0108530 + 0.0615505i
\(257\) 384.163 2178.70i 0.0932429 0.528807i −0.902029 0.431676i \(-0.857922\pi\)
0.995272 0.0971308i \(-0.0309665\pi\)
\(258\) 252.995 0.0610496
\(259\) 1518.69 + 1394.98i 0.364350 + 0.334670i
\(260\) −1896.40 −0.452345
\(261\) −359.915 + 2041.18i −0.0853570 + 0.484083i
\(262\) −574.221 3256.57i −0.135403 0.767906i
\(263\) −2232.83 812.685i −0.523507 0.190541i 0.0667297 0.997771i \(-0.478743\pi\)
−0.590237 + 0.807230i \(0.700966\pi\)
\(264\) −819.818 + 687.909i −0.191122 + 0.160371i
\(265\) −4897.46 −1.13528
\(266\) −1612.09 + 1352.70i −0.371592 + 0.311802i
\(267\) 257.692 446.336i 0.0590656 0.102305i
\(268\) 2703.92 984.148i 0.616300 0.224315i
\(269\) 1102.99 + 1910.44i 0.250002 + 0.433017i 0.963526 0.267614i \(-0.0862352\pi\)
−0.713524 + 0.700631i \(0.752902\pi\)
\(270\) 1306.48 2262.89i 0.294481 0.510055i
\(271\) 1015.83 5761.04i 0.227701 1.29136i −0.629752 0.776796i \(-0.716844\pi\)
0.857453 0.514562i \(-0.172045\pi\)
\(272\) −1925.52 700.831i −0.429234 0.156228i
\(273\) 736.687 + 1275.98i 0.163320 + 0.282878i
\(274\) −4127.38 3463.28i −0.910015 0.763593i
\(275\) 1202.35 + 1008.89i 0.263652 + 0.221230i
\(276\) 1218.79 443.602i 0.265806 0.0967454i
\(277\) 736.745 + 4178.29i 0.159808 + 0.906315i 0.954258 + 0.298985i \(0.0966481\pi\)
−0.794450 + 0.607330i \(0.792241\pi\)
\(278\) 238.804 + 1354.33i 0.0515199 + 0.292184i
\(279\) −949.466 + 345.577i −0.203738 + 0.0741547i
\(280\) 525.923 + 441.302i 0.112250 + 0.0941887i
\(281\) −3506.14 2942.00i −0.744337 0.624573i 0.189662 0.981849i \(-0.439261\pi\)
−0.933999 + 0.357277i \(0.883705\pi\)
\(282\) −1034.36 1791.56i −0.218423 0.378319i
\(283\) 3186.40 + 1159.76i 0.669300 + 0.243605i 0.654247 0.756281i \(-0.272986\pi\)
0.0150536 + 0.999887i \(0.495208\pi\)
\(284\) −441.837 + 2505.78i −0.0923176 + 0.523559i
\(285\) 1708.53 2959.27i 0.355105 0.615059i
\(286\) −2131.48 3691.83i −0.440689 0.763295i
\(287\) −697.714 + 253.947i −0.143501 + 0.0522300i
\(288\) 270.522 468.558i 0.0553496 0.0958682i
\(289\) 8800.69 7384.65i 1.79131 1.50308i
\(290\) 2296.37 0.464992
\(291\) −1982.04 + 1663.13i −0.399276 + 0.335033i
\(292\) −2176.07 792.023i −0.436112 0.158732i
\(293\) −1465.39 8310.64i −0.292181 1.65704i −0.678445 0.734652i \(-0.737346\pi\)
0.386264 0.922388i \(-0.373765\pi\)
\(294\) −285.811 + 1620.91i −0.0566967 + 0.321543i
\(295\) 1657.79 0.327187
\(296\) −1662.62 691.015i −0.326478 0.135691i
\(297\) 5873.72 1.14757
\(298\) −807.768 + 4581.08i −0.157023 + 0.890519i
\(299\) 897.139 + 5087.93i 0.173521 + 0.984089i
\(300\) 445.083 + 161.997i 0.0856563 + 0.0311763i
\(301\) 279.481 234.513i 0.0535184 0.0449072i
\(302\) −2527.29 −0.481554
\(303\) −2342.57 + 1965.65i −0.444149 + 0.372685i
\(304\) 918.717 1591.26i 0.173329 0.300215i
\(305\) 1833.54 667.355i 0.344224 0.125287i
\(306\) 2165.33 + 3750.46i 0.404522 + 0.700653i
\(307\) 3364.10 5826.79i 0.625405 1.08323i −0.363058 0.931767i \(-0.618267\pi\)
0.988462 0.151466i \(-0.0483994\pi\)
\(308\) −267.991 + 1519.85i −0.0495786 + 0.281174i
\(309\) −2209.15 804.065i −0.406712 0.148031i
\(310\) 559.727 + 969.476i 0.102550 + 0.177621i
\(311\) 1636.78 + 1373.42i 0.298435 + 0.250416i 0.779692 0.626163i \(-0.215375\pi\)
−0.481258 + 0.876579i \(0.659820\pi\)
\(312\) −985.472 826.909i −0.178818 0.150047i
\(313\) −920.008 + 334.856i −0.166140 + 0.0604702i −0.423751 0.905779i \(-0.639287\pi\)
0.257611 + 0.966249i \(0.417065\pi\)
\(314\) −124.423 705.637i −0.0223617 0.126820i
\(315\) −251.960 1428.94i −0.0450677 0.255592i
\(316\) 179.946 65.4948i 0.0320340 0.0116594i
\(317\) −3676.88 3085.27i −0.651464 0.546644i 0.256050 0.966663i \(-0.417579\pi\)
−0.907515 + 0.420020i \(0.862023\pi\)
\(318\) −2544.99 2135.50i −0.448791 0.376581i
\(319\) 2581.03 + 4470.48i 0.453010 + 0.784636i
\(320\) −563.289 205.021i −0.0984026 0.0358156i
\(321\) 1140.27 6466.80i 0.198267 1.12443i
\(322\) 935.187 1619.79i 0.161851 0.280334i
\(323\) 7353.65 + 12736.9i 1.26677 + 2.19412i
\(324\) −50.2708 + 18.2971i −0.00861981 + 0.00313736i
\(325\) −943.350 + 1633.93i −0.161008 + 0.278874i
\(326\) 5187.96 4353.22i 0.881395 0.739578i
\(327\) −1860.12 −0.314572
\(328\) 496.618 416.712i 0.0836011 0.0701496i
\(329\) −2803.33 1020.33i −0.469764 0.170980i
\(330\) −435.150 2467.86i −0.0725886 0.411670i
\(331\) −883.993 + 5013.37i −0.146794 + 0.832507i 0.819116 + 0.573628i \(0.194464\pi\)
−0.965910 + 0.258880i \(0.916647\pi\)
\(332\) −3059.20 −0.505709
\(333\) 1753.03 + 3377.42i 0.288485 + 0.555800i
\(334\) −4134.65 −0.677359
\(335\) −1170.00 + 6635.38i −0.190817 + 1.08218i
\(336\) 80.8723 + 458.649i 0.0131308 + 0.0744684i
\(337\) 4631.89 + 1685.87i 0.748709 + 0.272508i 0.688062 0.725651i \(-0.258461\pi\)
0.0606467 + 0.998159i \(0.480684\pi\)
\(338\) 559.471 469.452i 0.0900332 0.0755468i
\(339\) −5665.75 −0.907733
\(340\) 3675.54 3084.14i 0.586277 0.491945i
\(341\) −1258.22 + 2179.31i −0.199814 + 0.346088i
\(342\) −3649.14 + 1328.18i −0.576967 + 0.209999i
\(343\) 2758.13 + 4777.22i 0.434184 + 0.752028i
\(344\) −159.274 + 275.871i −0.0249636 + 0.0432383i
\(345\) −527.373 + 2990.88i −0.0822980 + 0.466735i
\(346\) −4702.10 1711.43i −0.730597 0.265916i
\(347\) 1208.08 + 2092.45i 0.186896 + 0.323714i 0.944214 0.329333i \(-0.106824\pi\)
−0.757318 + 0.653047i \(0.773491\pi\)
\(348\) 1193.32 + 1001.31i 0.183818 + 0.154242i
\(349\) 428.561 + 359.605i 0.0657316 + 0.0551553i 0.675062 0.737761i \(-0.264117\pi\)
−0.609330 + 0.792917i \(0.708562\pi\)
\(350\) 641.841 233.611i 0.0980224 0.0356773i
\(351\) 1226.06 + 6953.31i 0.186445 + 1.05738i
\(352\) −233.990 1327.02i −0.0354310 0.200939i
\(353\) 101.338 36.8841i 0.0152796 0.00556131i −0.334369 0.942442i \(-0.608523\pi\)
0.349649 + 0.936881i \(0.386301\pi\)
\(354\) 861.477 + 722.865i 0.129342 + 0.108531i
\(355\) −4564.06 3829.70i −0.682353 0.572562i
\(356\) 324.463 + 561.986i 0.0483048 + 0.0836663i
\(357\) −3502.97 1274.98i −0.519319 0.189017i
\(358\) −239.904 + 1360.57i −0.0354172 + 0.200861i
\(359\) 3431.40 5943.36i 0.504463 0.873756i −0.495524 0.868595i \(-0.665024\pi\)
0.999987 0.00516130i \(-0.00164290\pi\)
\(360\) 633.444 + 1097.16i 0.0927374 + 0.160626i
\(361\) −5947.43 + 2164.69i −0.867099 + 0.315598i
\(362\) −3889.74 + 6737.23i −0.564752 + 0.978179i
\(363\) 1076.10 902.958i 0.155594 0.130559i
\(364\) −1855.14 −0.267131
\(365\) 4153.80 3485.46i 0.595671 0.499828i
\(366\) 1243.80 + 452.707i 0.177636 + 0.0646541i
\(367\) −1876.18 10640.4i −0.266855 1.51341i −0.763700 0.645572i \(-0.776619\pi\)
0.496844 0.867840i \(-0.334492\pi\)
\(368\) −283.580 + 1608.26i −0.0401702 + 0.227817i
\(369\) −1370.13 −0.193296
\(370\) 3347.84 2562.51i 0.470394 0.360050i
\(371\) −4790.91 −0.670435
\(372\) −131.867 + 747.857i −0.0183790 + 0.104233i
\(373\) 1823.29 + 10340.4i 0.253100 + 1.43540i 0.800904 + 0.598793i \(0.204353\pi\)
−0.547804 + 0.836607i \(0.684536\pi\)
\(374\) 10135.2 + 3688.93i 1.40129 + 0.510027i
\(375\) −3698.82 + 3103.68i −0.509350 + 0.427396i
\(376\) 2604.74 0.357259
\(377\) −4753.40 + 3988.58i −0.649370 + 0.544886i
\(378\) 1278.05 2213.66i 0.173905 0.301212i
\(379\) 1917.65 697.967i 0.259902 0.0945967i −0.208783 0.977962i \(-0.566950\pi\)
0.468685 + 0.883365i \(0.344728\pi\)
\(380\) 2151.23 + 3726.04i 0.290410 + 0.503005i
\(381\) −1706.31 + 2955.41i −0.229441 + 0.397403i
\(382\) −451.822 + 2562.41i −0.0605163 + 0.343205i
\(383\) −7562.22 2752.42i −1.00891 0.367212i −0.215894 0.976417i \(-0.569266\pi\)
−0.793013 + 0.609205i \(0.791489\pi\)
\(384\) −203.318 352.158i −0.0270196 0.0467994i
\(385\) −2768.28 2322.86i −0.366453 0.307491i
\(386\) −6402.69 5372.49i −0.844270 0.708427i
\(387\) 632.637 230.261i 0.0830975 0.0302450i
\(388\) −565.709 3208.29i −0.0740194 0.419785i
\(389\) −631.872 3583.52i −0.0823578 0.467074i −0.997896 0.0648421i \(-0.979346\pi\)
0.915538 0.402232i \(-0.131765\pi\)
\(390\) 2830.62 1030.26i 0.367523 0.133768i
\(391\) −10013.4 8402.23i −1.29514 1.08675i
\(392\) −1587.54 1332.11i −0.204549 0.171637i
\(393\) 2626.30 + 4548.89i 0.337098 + 0.583871i
\(394\) −1400.35 509.684i −0.179057 0.0651714i
\(395\) −77.8630 + 441.583i −0.00991826 + 0.0562493i
\(396\) −1423.93 + 2466.33i −0.180695 + 0.312974i
\(397\) 100.914 + 174.788i 0.0127575 + 0.0220967i 0.872334 0.488911i \(-0.162606\pi\)
−0.859576 + 0.511008i \(0.829272\pi\)
\(398\) −8640.17 + 3144.77i −1.08817 + 0.396062i
\(399\) 1671.36 2894.89i 0.209706 0.363222i
\(400\) −456.849 + 383.342i −0.0571061 + 0.0479177i
\(401\) −8621.63 −1.07367 −0.536837 0.843686i \(-0.680381\pi\)
−0.536837 + 0.843686i \(0.680381\pi\)
\(402\) −3501.30 + 2937.94i −0.434400 + 0.364505i
\(403\) −2842.50 1034.58i −0.351352 0.127882i
\(404\) −668.610 3791.87i −0.0823381 0.466962i
\(405\) 21.7523 123.364i 0.00266884 0.0151358i
\(406\) 2246.41 0.274600
\(407\) 8751.43 + 3637.26i 1.06583 + 0.442979i
\(408\) 3254.83 0.394946
\(409\) 887.127 5031.15i 0.107251 0.608250i −0.883047 0.469285i \(-0.844512\pi\)
0.990297 0.138964i \(-0.0443774\pi\)
\(410\) 263.600 + 1494.95i 0.0317518 + 0.180074i
\(411\) 8042.16 + 2927.11i 0.965184 + 0.351298i
\(412\) 2267.55 1902.70i 0.271151 0.227523i
\(413\) 1621.72 0.193220
\(414\) 2643.95 2218.53i 0.313872 0.263370i
\(415\) 3581.65 6203.60i 0.423654 0.733790i
\(416\) 1522.09 553.995i 0.179391 0.0652928i
\(417\) −1092.22 1891.77i −0.128264 0.222160i
\(418\) −4835.80 + 8375.86i −0.565854 + 0.980087i
\(419\) 1817.18 10305.7i 0.211874 1.20159i −0.674376 0.738388i \(-0.735587\pi\)
0.886250 0.463207i \(-0.153301\pi\)
\(420\) −1024.76 372.981i −0.119055 0.0433324i
\(421\) −490.233 849.108i −0.0567518 0.0982969i 0.836254 0.548343i \(-0.184741\pi\)
−0.893006 + 0.450046i \(0.851408\pi\)
\(422\) 8527.16 + 7155.14i 0.983639 + 0.825371i
\(423\) −4217.08 3538.55i −0.484731 0.406738i
\(424\) 3930.80 1430.69i 0.450227 0.163869i
\(425\) −828.916 4701.02i −0.0946079 0.536548i
\(426\) −701.825 3980.25i −0.0798205 0.452684i
\(427\) 1793.65 652.836i 0.203281 0.0739882i
\(428\) 6333.67 + 5314.58i 0.715302 + 0.600210i
\(429\) 5187.18 + 4352.56i 0.583775 + 0.489845i
\(430\) −372.951 645.970i −0.0418262 0.0724452i
\(431\) −1927.27 701.469i −0.215391 0.0783957i 0.232071 0.972699i \(-0.425450\pi\)
−0.447462 + 0.894303i \(0.647672\pi\)
\(432\) −387.549 + 2197.90i −0.0431620 + 0.244784i
\(433\) −7597.77 + 13159.7i −0.843246 + 1.46054i 0.0438902 + 0.999036i \(0.486025\pi\)
−0.887136 + 0.461508i \(0.847309\pi\)
\(434\) 547.550 + 948.384i 0.0605604 + 0.104894i
\(435\) −3427.64 + 1247.56i −0.377799 + 0.137508i
\(436\) 1171.05 2028.32i 0.128631 0.222795i
\(437\) 8979.07 7534.33i 0.982900 0.824751i
\(438\) 3678.35 0.401275
\(439\) 12957.2 10872.4i 1.40869 1.18203i 0.451608 0.892216i \(-0.350850\pi\)
0.957083 0.289816i \(-0.0935940\pi\)
\(440\) 2964.96 + 1079.16i 0.321247 + 0.116924i
\(441\) 760.563 + 4313.37i 0.0821253 + 0.465756i
\(442\) −2251.36 + 12768.1i −0.242277 + 1.37402i
\(443\) 14692.9 1.57580 0.787901 0.615802i \(-0.211168\pi\)
0.787901 + 0.615802i \(0.211168\pi\)
\(444\) 2857.08 + 128.176i 0.305385 + 0.0137004i
\(445\) −1519.50 −0.161868
\(446\) 1191.08 6754.98i 0.126456 0.717169i
\(447\) −1283.08 7276.69i −0.135766 0.769968i
\(448\) −551.034 200.560i −0.0581114 0.0211508i
\(449\) 2932.73 2460.86i 0.308250 0.258652i −0.475518 0.879706i \(-0.657739\pi\)
0.783768 + 0.621053i \(0.213295\pi\)
\(450\) 1260.41 0.132036
\(451\) −2614.02 + 2193.43i −0.272926 + 0.229012i
\(452\) 3566.90 6178.05i 0.371179 0.642901i
\(453\) 3772.31 1373.01i 0.391256 0.142405i
\(454\) −1033.25 1789.65i −0.106813 0.185005i
\(455\) 2171.96 3761.95i 0.223787 0.387611i
\(456\) −506.814 + 2874.28i −0.0520476 + 0.295177i
\(457\) 375.194 + 136.559i 0.0384044 + 0.0139781i 0.361151 0.932507i \(-0.382384\pi\)
−0.322747 + 0.946485i \(0.604606\pi\)
\(458\) −2978.86 5159.54i −0.303915 0.526396i
\(459\) −13684.6 11482.7i −1.39160 1.16769i
\(460\) −2929.31 2457.98i −0.296913 0.249139i
\(461\) 8426.27 3066.91i 0.851303 0.309849i 0.120731 0.992685i \(-0.461476\pi\)
0.730571 + 0.682836i \(0.239254\pi\)
\(462\) −425.683 2414.17i −0.0428671 0.243111i
\(463\) −99.4379 563.940i −0.00998114 0.0566059i 0.979410 0.201879i \(-0.0647049\pi\)
−0.989392 + 0.145274i \(0.953594\pi\)
\(464\) −1843.12 + 670.839i −0.184406 + 0.0671184i
\(465\) −1362.16 1142.98i −0.135846 0.113988i
\(466\) 9756.27 + 8186.48i 0.969851 + 0.813802i
\(467\) 5031.79 + 8715.31i 0.498594 + 0.863590i 0.999999 0.00162290i \(-0.000516586\pi\)
−0.501405 + 0.865213i \(0.667183\pi\)
\(468\) −3216.86 1170.84i −0.317734 0.115646i
\(469\) −1144.54 + 6491.02i −0.112687 + 0.639078i
\(470\) −3049.58 + 5282.03i −0.299291 + 0.518387i
\(471\) 569.071 + 985.659i 0.0556717 + 0.0964263i
\(472\) −1330.57 + 484.290i −0.129756 + 0.0472272i
\(473\) 838.364 1452.09i 0.0814969 0.141157i
\(474\) −233.011 + 195.519i −0.0225792 + 0.0189462i
\(475\) 4280.46 0.413476
\(476\) 3595.58 3017.05i 0.346225 0.290517i
\(477\) −8307.56 3023.70i −0.797436 0.290243i
\(478\) −689.775 3911.91i −0.0660033 0.374323i
\(479\) −2416.86 + 13706.7i −0.230542 + 1.30747i 0.621261 + 0.783603i \(0.286621\pi\)
−0.851803 + 0.523862i \(0.824491\pi\)
\(480\) 952.165 0.0905420
\(481\) −2479.06 + 11119.2i −0.235000 + 1.05403i
\(482\) −9199.03 −0.869304
\(483\) −515.900 + 2925.81i −0.0486009 + 0.275630i
\(484\) 307.138 + 1741.87i 0.0288447 + 0.163586i
\(485\) 7168.27 + 2609.04i 0.671122 + 0.244268i
\(486\) 5835.21 4896.32i 0.544630 0.456999i
\(487\) −17328.4 −1.61237 −0.806185 0.591664i \(-0.798471\pi\)
−0.806185 + 0.591664i \(0.798471\pi\)
\(488\) −1276.68 + 1071.27i −0.118428 + 0.0993727i
\(489\) −5378.73 + 9316.23i −0.497412 + 0.861543i
\(490\) 4559.99 1659.70i 0.420406 0.153015i
\(491\) −8285.56 14351.0i −0.761553 1.31905i −0.942050 0.335472i \(-0.891104\pi\)
0.180498 0.983575i \(-0.442229\pi\)
\(492\) −514.879 + 891.797i −0.0471800 + 0.0817181i
\(493\) 2726.20 15461.1i 0.249051 1.41244i
\(494\) −10924.7 3976.28i −0.994995 0.362148i
\(495\) −3334.23 5775.06i −0.302752 0.524383i
\(496\) −732.461 614.608i −0.0663074 0.0556385i
\(497\) −4464.77 3746.38i −0.402962 0.338125i
\(498\) 4566.25 1661.98i 0.410881 0.149548i
\(499\) 989.209 + 5610.08i 0.0887436 + 0.503290i 0.996486 + 0.0837616i \(0.0266934\pi\)
−0.907742 + 0.419528i \(0.862195\pi\)
\(500\) −1055.71 5987.21i −0.0944253 0.535512i
\(501\) 6171.50 2246.24i 0.550344 0.200309i
\(502\) 5468.93 + 4588.98i 0.486236 + 0.408000i
\(503\) −12671.9 10633.0i −1.12329 0.942548i −0.124519 0.992217i \(-0.539739\pi\)
−0.998766 + 0.0496690i \(0.984183\pi\)
\(504\) 619.663 + 1073.29i 0.0547659 + 0.0948573i
\(505\) 8472.16 + 3083.61i 0.746546 + 0.271721i
\(506\) 1492.67 8465.34i 0.131141 0.743735i
\(507\) −580.043 + 1004.66i −0.0508099 + 0.0880053i
\(508\) −2148.43 3721.19i −0.187640 0.325002i
\(509\) −9554.62 + 3477.60i −0.832026 + 0.302833i −0.722690 0.691172i \(-0.757095\pi\)
−0.109336 + 0.994005i \(0.534872\pi\)
\(510\) −3810.69 + 6600.31i −0.330863 + 0.573072i
\(511\) 4063.43 3409.63i 0.351773 0.295172i
\(512\) 512.000 0.0441942
\(513\) 12271.1 10296.6i 1.05610 0.886175i
\(514\) −4157.78 1513.31i −0.356793 0.129862i
\(515\) 1203.59 + 6825.90i 0.102984 + 0.584049i
\(516\) 87.8643 498.303i 0.00749614 0.0425127i
\(517\) −13710.5 −1.16632
\(518\) 3275.00 2506.76i 0.277790 0.212627i
\(519\) 7948.27 0.672236
\(520\) −658.612 + 3735.18i −0.0555424 + 0.314997i
\(521\) 3152.68 + 17879.8i 0.265109 + 1.50351i 0.768725 + 0.639579i \(0.220891\pi\)
−0.503617 + 0.863927i \(0.667998\pi\)
\(522\) 3895.34 + 1417.79i 0.326618 + 0.118879i
\(523\) −11549.2 + 9690.92i −0.965604 + 0.810238i −0.981856 0.189630i \(-0.939271\pi\)
0.0162520 + 0.999868i \(0.494827\pi\)
\(524\) −6613.61 −0.551368
\(525\) −831.117 + 697.390i −0.0690913 + 0.0579745i
\(526\) −2376.13 + 4115.58i −0.196966 + 0.341156i
\(527\) 7191.80 2617.60i 0.594459 0.216365i
\(528\) 1070.20 + 1853.63i 0.0882089 + 0.152782i
\(529\) 874.654 1514.94i 0.0718874 0.124513i
\(530\) −1700.87 + 9646.10i −0.139398 + 0.790566i
\(531\) 2812.11 + 1023.52i 0.229821 + 0.0836481i
\(532\) 2104.43 + 3644.98i 0.171501 + 0.297049i
\(533\) −3142.22 2636.64i −0.255356 0.214269i
\(534\) −789.615 662.566i −0.0639888 0.0536929i
\(535\) −18192.5 + 6621.53i −1.47015 + 0.535091i
\(536\) −999.330 5667.48i −0.0805308 0.456713i
\(537\) −381.070 2161.15i −0.0306227 0.173670i
\(538\) 4145.90 1508.98i 0.332235 0.120924i
\(539\) 8356.28 + 7011.75i 0.667774 + 0.560329i
\(540\) −4003.28 3359.15i −0.319026 0.267694i
\(541\) 11027.5 + 19100.1i 0.876354 + 1.51789i 0.855313 + 0.518112i \(0.173365\pi\)
0.0210413 + 0.999779i \(0.493302\pi\)
\(542\) −10994.2 4001.57i −0.871297 0.317126i
\(543\) 2145.79 12169.4i 0.169585 0.961765i
\(544\) −2049.09 + 3549.13i −0.161497 + 0.279720i
\(545\) 2742.09 + 4749.43i 0.215519 + 0.373290i
\(546\) 2769.04 1007.85i 0.217040 0.0789962i
\(547\) 3758.77 6510.38i 0.293809 0.508892i −0.680898 0.732378i \(-0.738410\pi\)
0.974707 + 0.223486i \(0.0717437\pi\)
\(548\) −8254.76 + 6926.57i −0.643478 + 0.539942i
\(549\) 3522.27 0.273819
\(550\) 2404.69 2017.78i 0.186430 0.156433i
\(551\) 13228.9 + 4814.93i 1.02281 + 0.372274i
\(552\) −450.446 2554.60i −0.0347323 0.196977i
\(553\) −76.1690 + 431.976i −0.00585721 + 0.0332179i
\(554\) 8485.50 0.650748
\(555\) −3604.94 + 5643.67i −0.275714 + 0.431640i
\(556\) 2750.44 0.209793
\(557\) −3809.70 + 21605.9i −0.289806 + 1.64357i 0.397787 + 0.917478i \(0.369778\pi\)
−0.687593 + 0.726096i \(0.741333\pi\)
\(558\) 350.908 + 1990.10i 0.0266221 + 0.150981i
\(559\) 1893.98 + 689.352i 0.143304 + 0.0521583i
\(560\) 1051.85 882.604i 0.0793726 0.0666015i
\(561\) −17132.3 −1.28935
\(562\) −7012.27 + 5884.00i −0.526325 + 0.441640i
\(563\) −8838.50 + 15308.7i −0.661631 + 1.14598i 0.318556 + 0.947904i \(0.396802\pi\)
−0.980187 + 0.198074i \(0.936531\pi\)
\(564\) −3887.92 + 1415.09i −0.290268 + 0.105649i
\(565\) 8352.12 + 14466.3i 0.621905 + 1.07717i
\(566\) 3390.90 5873.21i 0.251820 0.436165i
\(567\) 21.2791 120.680i 0.00157608 0.00893839i
\(568\) 4781.98 + 1740.50i 0.353252 + 0.128573i
\(569\) 3902.98 + 6760.16i 0.287560 + 0.498068i 0.973227 0.229847i \(-0.0738227\pi\)
−0.685667 + 0.727915i \(0.740489\pi\)
\(570\) −5235.25 4392.90i −0.384703 0.322804i
\(571\) −19427.7 16301.8i −1.42386 1.19476i −0.949234 0.314571i \(-0.898139\pi\)
−0.474625 0.880188i \(-0.657416\pi\)
\(572\) −8011.74 + 2916.03i −0.585643 + 0.213156i
\(573\) −717.685 4070.19i −0.0523241 0.296745i
\(574\) 257.865 + 1462.42i 0.0187510 + 0.106342i
\(575\) −3574.95 + 1301.18i −0.259280 + 0.0943701i
\(576\) −828.928 695.553i −0.0599630 0.0503149i
\(577\) 5505.00 + 4619.24i 0.397185 + 0.333278i 0.819405 0.573216i \(-0.194304\pi\)
−0.422219 + 0.906494i \(0.638749\pi\)
\(578\) −11488.5 19898.6i −0.826743 1.43196i
\(579\) 12475.6 + 4540.74i 0.895453 + 0.325918i
\(580\) 797.522 4522.97i 0.0570953 0.323804i
\(581\) 3503.73 6068.63i 0.250188 0.433338i
\(582\) 2587.37 + 4481.46i 0.184279 + 0.319180i
\(583\) −20690.3 + 7530.67i −1.46982 + 0.534971i
\(584\) −2315.72 + 4010.95i −0.164084 + 0.284202i
\(585\) 6140.54 5152.52i 0.433983 0.364155i
\(586\) −16877.7 −1.18978
\(587\) 11495.9 9646.19i 0.808323 0.678264i −0.141884 0.989883i \(-0.545316\pi\)
0.950207 + 0.311619i \(0.100871\pi\)
\(588\) 3093.32 + 1125.87i 0.216949 + 0.0789631i
\(589\) 1191.71 + 6758.55i 0.0833680 + 0.472803i
\(590\) 575.744 3265.21i 0.0401746 0.227841i
\(591\) 2367.10 0.164754
\(592\) −1938.45 + 3034.73i −0.134578 + 0.210687i
\(593\) 27012.3 1.87060 0.935298 0.353860i \(-0.115131\pi\)
0.935298 + 0.353860i \(0.115131\pi\)
\(594\) 2039.92 11569.0i 0.140907 0.799126i
\(595\) 1908.49 + 10823.6i 0.131497 + 0.745755i
\(596\) 8742.43 + 3181.98i 0.600845 + 0.218690i
\(597\) 11188.1 9387.95i 0.767000 0.643590i
\(598\) 10332.8 0.706591
\(599\) 15417.8 12937.1i 1.05168 0.882460i 0.0584063 0.998293i \(-0.481398\pi\)
0.993269 + 0.115833i \(0.0369537\pi\)
\(600\) 473.648 820.382i 0.0322276 0.0558199i
\(601\) 15054.3 5479.31i 1.02176 0.371890i 0.223821 0.974630i \(-0.428147\pi\)
0.797937 + 0.602741i \(0.205925\pi\)
\(602\) −364.837 631.916i −0.0247004 0.0427823i
\(603\) −6081.37 + 10533.2i −0.410701 + 0.711355i
\(604\) −877.719 + 4977.79i −0.0591290 + 0.335337i
\(605\) −3891.84 1416.51i −0.261530 0.0951893i
\(606\) 3058.01 + 5296.63i 0.204989 + 0.355051i
\(607\) −1665.74 1397.72i −0.111384 0.0934625i 0.585395 0.810749i \(-0.300940\pi\)
−0.696779 + 0.717286i \(0.745384\pi\)
\(608\) −2815.11 2362.16i −0.187776 0.157563i
\(609\) −3353.06 + 1220.42i −0.223108 + 0.0812048i
\(610\) −677.650 3843.14i −0.0449791 0.255089i
\(611\) −2861.86 16230.4i −0.189490 1.07465i
\(612\) 8138.98 2962.35i 0.537580 0.195663i
\(613\) −7666.48 6432.94i −0.505132 0.423856i 0.354280 0.935139i \(-0.384726\pi\)
−0.859412 + 0.511283i \(0.829170\pi\)
\(614\) −10308.2 8649.60i −0.677532 0.568517i
\(615\) −1205.62 2088.20i −0.0790493 0.136917i
\(616\) 2900.45 + 1055.68i 0.189712 + 0.0690495i
\(617\) 1831.35 10386.1i 0.119493 0.677680i −0.864934 0.501886i \(-0.832640\pi\)
0.984427 0.175794i \(-0.0562493\pi\)
\(618\) −2350.93 + 4071.93i −0.153023 + 0.265044i
\(619\) 3254.56 + 5637.07i 0.211328 + 0.366030i 0.952130 0.305692i \(-0.0988879\pi\)
−0.740803 + 0.671723i \(0.765555\pi\)
\(620\) 2103.89 765.752i 0.136281 0.0496021i
\(621\) −7118.56 + 12329.7i −0.459997 + 0.796738i
\(622\) 3273.56 2746.84i 0.211025 0.177071i
\(623\) −1486.44 −0.0955908
\(624\) −1970.94 + 1653.82i −0.126444 + 0.106099i
\(625\) 8998.99 + 3275.36i 0.575935 + 0.209623i
\(626\) 340.021 + 1928.36i 0.0217092 + 0.123119i
\(627\) 2667.69 15129.2i 0.169916 0.963641i
\(628\) −1433.04 −0.0910584
\(629\) −13278.5 25582.5i −0.841728 1.62169i
\(630\) −2901.96 −0.183519
\(631\) 1425.34 8083.49i 0.0899236 0.509982i −0.906262 0.422717i \(-0.861076\pi\)
0.996185 0.0872648i \(-0.0278126\pi\)
\(632\) −66.5052 377.170i −0.00418581 0.0237389i
\(633\) −16615.1 6047.40i −1.04327 0.379720i
\(634\) −7353.76 + 6170.54i −0.460655 + 0.386535i
\(635\) 10061.4 0.628776
\(636\) −5089.97 + 4270.99i −0.317343 + 0.266283i
\(637\) −6556.25 + 11355.8i −0.407799 + 0.706329i
\(638\) 9701.51 3531.06i 0.602017 0.219116i
\(639\) −5377.55 9314.20i −0.332915 0.576626i
\(640\) −599.440 + 1038.26i −0.0370233 + 0.0641263i
\(641\) 855.311 4850.71i 0.0527032 0.298895i −0.947051 0.321084i \(-0.895953\pi\)
0.999754 + 0.0221898i \(0.00706380\pi\)
\(642\) −12341.1 4491.79i −0.758667 0.276132i
\(643\) 6939.21 + 12019.1i 0.425592 + 0.737147i 0.996476 0.0838842i \(-0.0267326\pi\)
−0.570884 + 0.821031i \(0.693399\pi\)
\(644\) −2865.58 2404.51i −0.175341 0.147129i
\(645\) 907.615 + 761.580i 0.0554067 + 0.0464917i
\(646\) 27640.7 10060.4i 1.68345 0.612726i
\(647\) 3853.64 + 21855.1i 0.234161 + 1.32799i 0.844373 + 0.535756i \(0.179973\pi\)
−0.610211 + 0.792239i \(0.708915\pi\)
\(648\) 18.5793 + 105.369i 0.00112633 + 0.00638776i
\(649\) 7003.68 2549.13i 0.423603 0.154179i
\(650\) 2890.59 + 2425.49i 0.174428 + 0.146363i
\(651\) −1332.52 1118.12i −0.0802237 0.0673156i
\(652\) −6772.41 11730.2i −0.406791 0.704583i
\(653\) 4501.01 + 1638.23i 0.269737 + 0.0981762i 0.473348 0.880876i \(-0.343045\pi\)
−0.203611 + 0.979052i \(0.565268\pi\)
\(654\) −646.014 + 3663.73i −0.0386256 + 0.219057i
\(655\) 7743.09 13411.4i 0.461905 0.800042i
\(656\) −648.289 1122.87i −0.0385845 0.0668303i
\(657\) 9198.04 3347.81i 0.546194 0.198798i
\(658\) −2983.24 + 5167.12i −0.176746 + 0.306133i
\(659\) −5591.30 + 4691.66i −0.330510 + 0.277331i −0.792908 0.609342i \(-0.791434\pi\)
0.462398 + 0.886673i \(0.346989\pi\)
\(660\) −5011.86 −0.295586
\(661\) −18747.2 + 15730.8i −1.10315 + 0.925652i −0.997633 0.0687656i \(-0.978094\pi\)
−0.105516 + 0.994418i \(0.533649\pi\)
\(662\) 9567.41 + 3482.25i 0.561704 + 0.204444i
\(663\) −3576.12 20281.2i −0.209480 1.18802i
\(664\) −1062.45 + 6025.44i −0.0620948 + 0.352157i
\(665\) −9855.31 −0.574695
\(666\) 7261.04 2279.83i 0.422462 0.132645i
\(667\) −12512.2 −0.726346
\(668\) −1435.95 + 8143.66i −0.0831714 + 0.471688i
\(669\) 1891.95 + 10729.8i 0.109338 + 0.620085i
\(670\) 12662.8 + 4608.89i 0.730160 + 0.265757i
\(671\) 6720.02 5638.76i 0.386622 0.324414i
\(672\) 931.450 0.0534694
\(673\) 4267.33 3580.72i 0.244418 0.205091i −0.512346 0.858779i \(-0.671223\pi\)
0.756764 + 0.653688i \(0.226779\pi\)
\(674\) 4929.15 8537.54i 0.281697 0.487914i
\(675\) −4885.64 + 1778.23i −0.278590 + 0.101398i
\(676\) −730.338 1264.98i −0.0415531 0.0719721i
\(677\) 13618.1 23587.2i 0.773096 1.33904i −0.162762 0.986665i \(-0.552040\pi\)
0.935858 0.352377i \(-0.114626\pi\)
\(678\) −1967.69 + 11159.4i −0.111458 + 0.632113i
\(679\) 7012.32 + 2552.27i 0.396330 + 0.144252i
\(680\) −4798.08 8310.51i −0.270585 0.468667i
\(681\) 2514.53 + 2109.94i 0.141493 + 0.118727i
\(682\) 3855.42 + 3235.08i 0.216469 + 0.181639i
\(683\) −22549.8 + 8207.46i −1.26332 + 0.459809i −0.884880 0.465818i \(-0.845760\pi\)
−0.378435 + 0.925628i \(0.623538\pi\)
\(684\) 1348.67 + 7648.67i 0.0753912 + 0.427565i
\(685\) −4381.54 24848.9i −0.244394 1.38603i
\(686\) 10367.2 3773.34i 0.576998 0.210010i
\(687\) 7249.38 + 6082.95i 0.402592 + 0.337815i
\(688\) 488.045 + 409.518i 0.0270444 + 0.0226929i
\(689\) −13233.6 22921.3i −0.731728 1.26739i
\(690\) 5707.73 + 2077.45i 0.314913 + 0.114619i
\(691\) −1937.17 + 10986.2i −0.106648 + 0.604828i 0.883902 + 0.467672i \(0.154907\pi\)
−0.990549 + 0.137156i \(0.956204\pi\)
\(692\) −5003.87 + 8666.96i −0.274883 + 0.476111i
\(693\) −3261.69 5649.41i −0.178790 0.309673i
\(694\) 4540.89 1652.75i 0.248371 0.0903998i
\(695\) −3220.16 + 5577.49i −0.175752 + 0.304412i
\(696\) 2386.64 2002.63i 0.129979 0.109065i
\(697\) 10378.2 0.563990
\(698\) 857.121 719.210i 0.0464792 0.0390007i
\(699\) −19010.0 6919.08i −1.02865 0.374397i
\(700\) −237.215 1345.31i −0.0128084 0.0726401i
\(701\) −4688.81 + 26591.6i −0.252630 + 1.43274i 0.549452 + 0.835525i \(0.314836\pi\)
−0.802083 + 0.597213i \(0.796275\pi\)
\(702\) 14121.2 0.759215
\(703\) 24659.1 7742.48i 1.32295 0.415382i
\(704\) −2694.99 −0.144277
\(705\) 1682.31 9540.88i 0.0898718 0.509688i
\(706\) −37.4531 212.407i −0.00199655 0.0113230i
\(707\) 8287.84 + 3016.53i 0.440872 + 0.160464i
\(708\) 1722.95 1445.73i 0.0914585 0.0767428i
\(709\) −22170.0 −1.17434 −0.587172 0.809462i \(-0.699759\pi\)
−0.587172 + 0.809462i \(0.699759\pi\)
\(710\) −9128.12 + 7659.41i −0.482496 + 0.404863i
\(711\) −404.714 + 700.985i −0.0213473 + 0.0369747i
\(712\) 1219.58 443.891i 0.0641935 0.0233645i
\(713\) −3049.76 5282.35i −0.160189 0.277455i
\(714\) −3727.79 + 6456.71i −0.195391 + 0.338426i
\(715\) 3466.70 19660.7i 0.181325 1.02835i
\(716\) 2596.47 + 945.039i 0.135523 + 0.0493265i
\(717\) 3154.81 + 5464.30i 0.164322 + 0.284614i
\(718\) −10514.4 8822.64i −0.546510 0.458577i
\(719\) 10027.8 + 8414.29i 0.520128 + 0.436440i 0.864677 0.502329i \(-0.167523\pi\)
−0.344548 + 0.938769i \(0.611968\pi\)
\(720\) 2380.97 866.603i 0.123241 0.0448561i
\(721\) 1177.41 + 6677.40i 0.0608167 + 0.344909i
\(722\) 2198.08 + 12465.9i 0.113302 + 0.642569i
\(723\) 13730.8 4997.59i 0.706296 0.257071i
\(724\) 11918.9 + 10001.1i 0.611824 + 0.513382i
\(725\) −3500.25 2937.06i −0.179305 0.150455i
\(726\) −1404.75 2433.10i −0.0718117 0.124382i
\(727\) −10797.2 3929.88i −0.550822 0.200483i 0.0515896 0.998668i \(-0.483571\pi\)
−0.602412 + 0.798186i \(0.705793\pi\)
\(728\) −644.284 + 3653.91i −0.0328005 + 0.186021i
\(729\) −5869.22 + 10165.8i −0.298187 + 0.516475i
\(730\) −5422.41 9391.88i −0.274921 0.476177i
\(731\) −4791.96 + 1744.13i −0.242458 + 0.0882476i
\(732\) 1323.63 2292.59i 0.0668343 0.115760i
\(733\) 3517.34 2951.40i 0.177239 0.148721i −0.549853 0.835262i \(-0.685316\pi\)
0.727091 + 0.686541i \(0.240872\pi\)
\(734\) −21609.0 −1.08665
\(735\) −5904.70 + 4954.63i −0.296324 + 0.248645i
\(736\) 3069.17 + 1117.09i 0.153711 + 0.0559462i
\(737\) 5260.12 + 29831.6i 0.262903 + 1.49099i
\(738\) −475.841 + 2698.63i −0.0237343 + 0.134604i
\(739\) 2458.37 0.122372 0.0611858 0.998126i \(-0.480512\pi\)
0.0611858 + 0.998126i \(0.480512\pi\)
\(740\) −3884.47 7483.90i −0.192967 0.371775i
\(741\) 18466.8 0.915513
\(742\) −1663.86 + 9436.24i −0.0823213 + 0.466867i
\(743\) −604.271 3426.99i −0.0298366 0.169212i 0.966248 0.257612i \(-0.0829356\pi\)
−0.996085 + 0.0884004i \(0.971825\pi\)
\(744\) 1427.19 + 519.456i 0.0703272 + 0.0255970i
\(745\) −16688.1 + 14002.9i −0.820675 + 0.688628i
\(746\) 20999.8 1.03064
\(747\) 9905.68 8311.85i 0.485180 0.407115i
\(748\) 10785.7 18681.4i 0.527225 0.913181i
\(749\) −17796.7 + 6477.48i −0.868195 + 0.315997i
\(750\) 4828.47 + 8363.15i 0.235081 + 0.407172i
\(751\) −12395.0 + 21468.8i −0.602265 + 1.04315i 0.390213 + 0.920725i \(0.372401\pi\)
−0.992477 + 0.122428i \(0.960932\pi\)
\(752\) 904.618 5130.34i 0.0438670 0.248782i
\(753\) −10656.2 3878.53i −0.515713 0.187704i
\(754\) 6205.12 + 10747.6i 0.299705 + 0.519104i
\(755\) −9066.61 7607.79i −0.437044 0.366723i
\(756\) −3916.19 3286.07i −0.188400 0.158086i
\(757\) 26756.9 9738.71i 1.28467 0.467582i 0.392696 0.919668i \(-0.371542\pi\)
0.891974 + 0.452087i \(0.149320\pi\)
\(758\) −708.734 4019.43i −0.0339609 0.192602i
\(759\) 2370.99 + 13446.5i 0.113388 + 0.643055i
\(760\) 8085.99 2943.06i 0.385934 0.140468i
\(761\) −14719.6 12351.2i −0.701165 0.588347i 0.220940 0.975287i \(-0.429088\pi\)
−0.922105 + 0.386940i \(0.873532\pi\)
\(762\) 5228.43 + 4387.18i 0.248565 + 0.208570i
\(763\) 2682.43 + 4646.10i 0.127275 + 0.220446i
\(764\) 4890.05 + 1779.83i 0.231565 + 0.0842828i
\(765\) −3521.76 + 19972.9i −0.166444 + 0.943951i
\(766\) −8047.54 + 13938.8i −0.379595 + 0.657477i
\(767\) 4479.58 + 7758.86i 0.210884 + 0.365262i
\(768\) −764.227 + 278.156i −0.0359071 + 0.0130691i
\(769\) 684.006 1184.73i 0.0320753 0.0555560i −0.849542 0.527521i \(-0.823122\pi\)
0.881617 + 0.471965i \(0.156455\pi\)
\(770\) −5536.55 + 4645.72i −0.259122 + 0.217429i