Properties

Label 177.4.e.a.4.11
Level $177$
Weight $4$
Character 177.4
Analytic conductor $10.443$
Analytic rank $0$
Dimension $420$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 177 = 3 \cdot 59 \)
Weight: \( k \) \(=\) \( 4 \)
Character orbit: \([\chi]\) \(=\) 177.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(10.4433380710\)
Analytic rank: \(0\)
Dimension: \(420\)
Relative dimension: \(15\) over \(\Q(\zeta_{29})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 4.11
Character \(\chi\) \(=\) 177.4
Dual form 177.4.e.a.133.11

$q$-expansion

\(f(q)\) \(=\) \(q+(2.45810 + 0.267335i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-1.84216 - 0.405491i) q^{4} +(7.30295 + 5.55156i) q^{5} +(-5.38528 + 5.10121i) q^{6} +(-2.79914 + 7.02531i) q^{7} +(-23.1651 - 7.80525i) q^{8} +(-1.45604 - 8.88144i) q^{9} +O(q^{10})\) \(q+(2.45810 + 0.267335i) q^{2} +(-1.94216 + 2.28649i) q^{3} +(-1.84216 - 0.405491i) q^{4} +(7.30295 + 5.55156i) q^{5} +(-5.38528 + 5.10121i) q^{6} +(-2.79914 + 7.02531i) q^{7} +(-23.1651 - 7.80525i) q^{8} +(-1.45604 - 8.88144i) q^{9} +(16.4673 + 15.5986i) q^{10} +(-29.6784 + 13.7307i) q^{11} +(4.50492 - 3.42455i) q^{12} +(-9.95264 + 60.7084i) q^{13} +(-8.75869 + 16.5206i) q^{14} +(-26.8771 + 5.91609i) q^{15} +(-41.1603 - 19.0428i) q^{16} +(12.2307 + 30.6967i) q^{17} +(-1.20477 - 22.2207i) q^{18} +(-79.9088 - 117.857i) q^{19} +(-11.2021 - 13.1882i) q^{20} +(-10.6269 - 20.0445i) q^{21} +(-76.6233 + 25.8174i) q^{22} +(-9.44781 + 174.255i) q^{23} +(62.8370 - 37.8078i) q^{24} +(-10.9277 - 39.3582i) q^{25} +(-40.6941 + 146.567i) q^{26} +(23.1351 + 13.9200i) q^{27} +(8.00518 - 11.8068i) q^{28} +(-86.9923 + 9.46098i) q^{29} +(-67.6481 + 7.35718i) q^{30} +(-124.267 + 183.281i) q^{31} +(71.4799 + 43.0080i) q^{32} +(26.2451 - 94.5265i) q^{33} +(21.8580 + 78.7252i) q^{34} +(-59.4434 + 35.7659i) q^{35} +(-0.919082 + 16.9515i) q^{36} +(142.006 - 47.8474i) q^{37} +(-164.917 - 311.066i) q^{38} +(-119.479 - 140.662i) q^{39} +(-125.843 - 185.604i) q^{40} +(4.32733 + 79.8129i) q^{41} +(-20.7634 - 52.1123i) q^{42} +(275.947 + 127.667i) q^{43} +(60.2402 - 13.2599i) q^{44} +(38.6725 - 72.9440i) q^{45} +(-69.8080 + 425.810i) q^{46} +(263.317 - 200.168i) q^{47} +(123.481 - 57.1283i) q^{48} +(207.497 + 196.551i) q^{49} +(-16.3397 - 99.6678i) q^{50} +(-93.9414 - 31.6525i) q^{51} +(42.9511 - 107.799i) q^{52} +(534.609 - 506.409i) q^{53} +(53.1473 + 40.4015i) q^{54} +(-292.967 - 64.4869i) q^{55} +(119.677 - 140.894i) q^{56} +(424.673 + 46.1860i) q^{57} -216.365 q^{58} +(-395.079 + 222.017i) q^{59} +51.9109 q^{60} +(203.036 + 22.0815i) q^{61} +(-354.460 + 417.302i) q^{62} +(66.4705 + 14.6313i) q^{63} +(453.042 + 344.394i) q^{64} +(-409.710 + 388.098i) q^{65} +(89.7835 - 225.339i) q^{66} +(129.930 + 43.7786i) q^{67} +(-10.0837 - 61.5077i) q^{68} +(-380.082 - 360.032i) q^{69} +(-155.680 + 72.0250i) q^{70} +(609.418 - 463.267i) q^{71} +(-35.5925 + 217.105i) q^{72} +(-340.622 + 642.481i) q^{73} +(361.857 - 79.6507i) q^{74} +(111.215 + 51.4537i) q^{75} +(99.4154 + 249.514i) q^{76} +(-13.3884 - 246.934i) q^{77} +(-256.089 - 377.702i) q^{78} +(-664.206 - 781.963i) q^{79} +(-194.874 - 367.572i) q^{80} +(-76.7599 + 25.8634i) q^{81} +(-10.6997 + 197.345i) q^{82} +(-343.457 + 206.652i) q^{83} +(11.4487 + 41.2343i) q^{84} +(-81.0944 + 292.076i) q^{85} +(644.176 + 387.588i) q^{86} +(147.320 - 217.281i) q^{87} +(794.676 - 86.4262i) q^{88} +(-251.325 + 27.3333i) q^{89} +(114.561 - 168.965i) q^{90} +(-398.637 - 239.852i) q^{91} +(88.0631 - 317.175i) q^{92} +(-177.722 - 640.096i) q^{93} +(700.771 - 421.640i) q^{94} +(70.7182 - 1304.32i) q^{95} +(-237.163 + 79.9094i) q^{96} +(817.476 + 1541.92i) q^{97} +(457.503 + 538.614i) q^{98} +(165.161 + 243.595i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + O(q^{10}) \) \( 420q - 2q^{2} + 45q^{3} - 64q^{4} + 14q^{5} + 6q^{6} + 6q^{7} + 18q^{8} - 135q^{9} + 854q^{10} + 32q^{11} + 192q^{12} - 22q^{13} - 884q^{14} - 42q^{15} - 268q^{16} - 56q^{17} - 18q^{18} - 112q^{19} - 250q^{20} + 243q^{21} + 108q^{22} + 16q^{23} - 54q^{24} - 197q^{25} - 328q^{26} + 405q^{27} + 236q^{28} - 54q^{29} - 126q^{30} + 66q^{31} + 857q^{32} - 96q^{33} + 112q^{34} + 532q^{35} - 576q^{36} + 110q^{37} + 56q^{38} + 66q^{39} - 6044q^{40} + 304q^{41} - 306q^{42} - 324q^{43} - 568q^{44} + 126q^{45} + 5842q^{46} + 4082q^{47} + 804q^{48} + 739q^{49} + 576q^{50} + 168q^{51} - 1372q^{52} - 1498q^{53} + 54q^{54} - 4422q^{55} - 12036q^{56} + 336q^{57} + 6298q^{58} - 3305q^{59} + 750q^{60} - 1718q^{61} - 4333q^{62} + 54q^{63} - 6250q^{64} - 5884q^{65} - 324q^{66} + 382q^{67} + 734q^{68} + 3780q^{69} + 8082q^{70} + 8638q^{71} + 162q^{72} + 8894q^{73} + 12428q^{74} + 243q^{75} - 15468q^{76} - 9916q^{77} + 984q^{78} - 578q^{79} + 24570q^{80} - 1215q^{81} - 1382q^{82} - 32q^{83} + 7557q^{84} + 708q^{85} + 2296q^{86} - 5928q^{87} - 17646q^{88} - 2284q^{89} + 378q^{90} + 11124q^{91} + 762q^{92} - 198q^{93} - 1232q^{94} + 24184q^{95} - 396q^{96} - 658q^{97} - 4356q^{98} + 288q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{1}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 2.45810 + 0.267335i 0.869071 + 0.0945171i 0.531779 0.846883i \(-0.321524\pi\)
0.337291 + 0.941400i \(0.390489\pi\)
\(3\) −1.94216 + 2.28649i −0.373769 + 0.440034i
\(4\) −1.84216 0.405491i −0.230271 0.0506864i
\(5\) 7.30295 + 5.55156i 0.653196 + 0.496547i 0.878500 0.477742i \(-0.158545\pi\)
−0.225304 + 0.974288i \(0.572338\pi\)
\(6\) −5.38528 + 5.10121i −0.366422 + 0.347093i
\(7\) −2.79914 + 7.02531i −0.151139 + 0.379331i −0.984979 0.172676i \(-0.944759\pi\)
0.833839 + 0.552007i \(0.186138\pi\)
\(8\) −23.1651 7.80525i −1.02376 0.344946i
\(9\) −1.45604 8.88144i −0.0539273 0.328942i
\(10\) 16.4673 + 15.5986i 0.520741 + 0.493272i
\(11\) −29.6784 + 13.7307i −0.813489 + 0.376360i −0.782104 0.623147i \(-0.785854\pi\)
−0.0313844 + 0.999507i \(0.509992\pi\)
\(12\) 4.50492 3.42455i 0.108372 0.0823820i
\(13\) −9.95264 + 60.7084i −0.212336 + 1.29519i 0.638444 + 0.769668i \(0.279578\pi\)
−0.850780 + 0.525523i \(0.823870\pi\)
\(14\) −8.75869 + 16.5206i −0.167204 + 0.315380i
\(15\) −26.8771 + 5.91609i −0.462642 + 0.101835i
\(16\) −41.1603 19.0428i −0.643129 0.297543i
\(17\) 12.2307 + 30.6967i 0.174493 + 0.437943i 0.990047 0.140737i \(-0.0449472\pi\)
−0.815554 + 0.578680i \(0.803568\pi\)
\(18\) −1.20477 22.2207i −0.0157760 0.290971i
\(19\) −79.9088 117.857i −0.964860 1.42306i −0.905269 0.424840i \(-0.860330\pi\)
−0.0595917 0.998223i \(-0.518980\pi\)
\(20\) −11.2021 13.1882i −0.125244 0.147448i
\(21\) −10.6269 20.0445i −0.110428 0.208289i
\(22\) −76.6233 + 25.8174i −0.742552 + 0.250195i
\(23\) −9.44781 + 174.255i −0.0856524 + 1.57977i 0.568037 + 0.823003i \(0.307703\pi\)
−0.653690 + 0.756763i \(0.726780\pi\)
\(24\) 62.8370 37.8078i 0.534439 0.321561i
\(25\) −10.9277 39.3582i −0.0874220 0.314866i
\(26\) −40.6941 + 146.567i −0.306953 + 1.10554i
\(27\) 23.1351 + 13.9200i 0.164902 + 0.0992184i
\(28\) 8.00518 11.8068i 0.0540299 0.0796881i
\(29\) −86.9923 + 9.46098i −0.557037 + 0.0605814i −0.382308 0.924035i \(-0.624871\pi\)
−0.174729 + 0.984617i \(0.555905\pi\)
\(30\) −67.6481 + 7.35718i −0.411693 + 0.0447744i
\(31\) −124.267 + 183.281i −0.719971 + 1.06188i 0.274974 + 0.961452i \(0.411331\pi\)
−0.994945 + 0.100426i \(0.967979\pi\)
\(32\) 71.4799 + 43.0080i 0.394874 + 0.237588i
\(33\) 26.2451 94.5265i 0.138445 0.498635i
\(34\) 21.8580 + 78.7252i 0.110253 + 0.397096i
\(35\) −59.4434 + 35.7659i −0.287079 + 0.172730i
\(36\) −0.919082 + 16.9515i −0.00425501 + 0.0784791i
\(37\) 142.006 47.8474i 0.630964 0.212596i 0.0143936 0.999896i \(-0.495418\pi\)
0.616570 + 0.787300i \(0.288522\pi\)
\(38\) −164.917 311.066i −0.704028 1.32794i
\(39\) −119.479 140.662i −0.490564 0.577537i
\(40\) −125.843 185.604i −0.497437 0.733664i
\(41\) 4.32733 + 79.8129i 0.0164833 + 0.304016i 0.995137 + 0.0985003i \(0.0314046\pi\)
−0.978654 + 0.205516i \(0.934113\pi\)
\(42\) −20.7634 52.1123i −0.0762826 0.191455i
\(43\) 275.947 + 127.667i 0.978639 + 0.452767i 0.842954 0.537985i \(-0.180814\pi\)
0.135685 + 0.990752i \(0.456676\pi\)
\(44\) 60.2402 13.2599i 0.206399 0.0454318i
\(45\) 38.6725 72.9440i 0.128110 0.241641i
\(46\) −69.8080 + 425.810i −0.223753 + 1.36483i
\(47\) 263.317 200.168i 0.817206 0.621224i −0.110777 0.993845i \(-0.535334\pi\)
0.927984 + 0.372621i \(0.121541\pi\)
\(48\) 123.481 57.1283i 0.371311 0.171787i
\(49\) 207.497 + 196.551i 0.604946 + 0.573036i
\(50\) −16.3397 99.6678i −0.0462157 0.281903i
\(51\) −93.9414 31.6525i −0.257930 0.0869067i
\(52\) 42.9511 107.799i 0.114543 0.287482i
\(53\) 534.609 506.409i 1.38555 1.31246i 0.487130 0.873330i \(-0.338044\pi\)
0.898422 0.439134i \(-0.144715\pi\)
\(54\) 53.1473 + 40.4015i 0.133934 + 0.101814i
\(55\) −292.967 64.4869i −0.718248 0.158098i
\(56\) 119.677 140.894i 0.285580 0.336211i
\(57\) 424.673 + 46.1860i 0.986831 + 0.107324i
\(58\) −216.365 −0.489830
\(59\) −395.079 + 222.017i −0.871778 + 0.489901i
\(60\) 51.9109 0.111694
\(61\) 203.036 + 22.0815i 0.426166 + 0.0463484i 0.318689 0.947859i \(-0.396757\pi\)
0.107477 + 0.994208i \(0.465723\pi\)
\(62\) −354.460 + 417.302i −0.726071 + 0.854797i
\(63\) 66.4705 + 14.6313i 0.132929 + 0.0292598i
\(64\) 453.042 + 344.394i 0.884848 + 0.672644i
\(65\) −409.710 + 388.098i −0.781820 + 0.740579i
\(66\) 89.7835 225.339i 0.167448 0.420263i
\(67\) 129.930 + 43.7786i 0.236918 + 0.0798269i 0.435256 0.900307i \(-0.356658\pi\)
−0.198338 + 0.980134i \(0.563554\pi\)
\(68\) −10.0837 61.5077i −0.0179827 0.109690i
\(69\) −380.082 360.032i −0.663137 0.628157i
\(70\) −155.680 + 72.0250i −0.265818 + 0.122981i
\(71\) 609.418 463.267i 1.01866 0.774362i 0.0442191 0.999022i \(-0.485920\pi\)
0.974437 + 0.224659i \(0.0721269\pi\)
\(72\) −35.5925 + 217.105i −0.0582585 + 0.355361i
\(73\) −340.622 + 642.481i −0.546120 + 1.03009i 0.444798 + 0.895631i \(0.353275\pi\)
−0.990919 + 0.134462i \(0.957070\pi\)
\(74\) 361.857 79.6507i 0.568446 0.125124i
\(75\) 111.215 + 51.4537i 0.171227 + 0.0792182i
\(76\) 99.4154 + 249.514i 0.150049 + 0.376595i
\(77\) −13.3884 246.934i −0.0198149 0.365465i
\(78\) −256.089 377.702i −0.371748 0.548287i
\(79\) −664.206 781.963i −0.945936 1.11364i −0.993392 0.114769i \(-0.963387\pi\)
0.0474559 0.998873i \(-0.484889\pi\)
\(80\) −194.874 367.572i −0.272345 0.513698i
\(81\) −76.7599 + 25.8634i −0.105295 + 0.0354779i
\(82\) −10.6997 + 197.345i −0.0144096 + 0.265770i
\(83\) −343.457 + 206.652i −0.454209 + 0.273289i −0.724220 0.689569i \(-0.757800\pi\)
0.270011 + 0.962857i \(0.412973\pi\)
\(84\) 11.4487 + 41.2343i 0.0148708 + 0.0535599i
\(85\) −81.0944 + 292.076i −0.103481 + 0.372706i
\(86\) 644.176 + 387.588i 0.807712 + 0.485984i
\(87\) 147.320 217.281i 0.181545 0.267759i
\(88\) 794.676 86.4262i 0.962645 0.104694i
\(89\) −251.325 + 27.3333i −0.299331 + 0.0325542i −0.256552 0.966530i \(-0.582587\pi\)
−0.0427786 + 0.999085i \(0.513621\pi\)
\(90\) 114.561 168.965i 0.134176 0.197895i
\(91\) −398.637 239.852i −0.459214 0.276300i
\(92\) 88.0631 317.175i 0.0997958 0.359432i
\(93\) −177.722 640.096i −0.198160 0.713709i
\(94\) 700.771 421.640i 0.768926 0.462647i
\(95\) 70.7182 1304.32i 0.0763741 1.40864i
\(96\) −237.163 + 79.9094i −0.252139 + 0.0849554i
\(97\) 817.476 + 1541.92i 0.855691 + 1.61401i 0.787485 + 0.616334i \(0.211383\pi\)
0.0682065 + 0.997671i \(0.478272\pi\)
\(98\) 457.503 + 538.614i 0.471579 + 0.555186i
\(99\) 165.161 + 243.595i 0.167670 + 0.247295i
\(100\) 4.17131 + 76.9353i 0.00417131 + 0.0769353i
\(101\) 307.730 + 772.343i 0.303171 + 0.760901i 0.999085 + 0.0427761i \(0.0136202\pi\)
−0.695914 + 0.718125i \(0.745000\pi\)
\(102\) −222.456 102.919i −0.215945 0.0999069i
\(103\) −1935.27 + 425.985i −1.85134 + 0.407510i −0.994197 0.107571i \(-0.965693\pi\)
−0.857141 + 0.515082i \(0.827762\pi\)
\(104\) 704.398 1328.64i 0.664153 1.25273i
\(105\) 33.6703 205.380i 0.0312941 0.190886i
\(106\) 1449.50 1101.88i 1.32819 1.00967i
\(107\) 350.807 162.301i 0.316951 0.146637i −0.254963 0.966951i \(-0.582063\pi\)
0.571914 + 0.820314i \(0.306201\pi\)
\(108\) −36.9743 35.0239i −0.0329431 0.0312054i
\(109\) −25.0319 152.688i −0.0219965 0.134173i 0.973545 0.228494i \(-0.0733801\pi\)
−0.995542 + 0.0943214i \(0.969932\pi\)
\(110\) −702.903 236.836i −0.609265 0.205285i
\(111\) −166.396 + 417.622i −0.142285 + 0.357108i
\(112\) 248.995 235.860i 0.210070 0.198988i
\(113\) −31.5856 24.0108i −0.0262949 0.0199889i 0.591944 0.805979i \(-0.298361\pi\)
−0.618239 + 0.785990i \(0.712154\pi\)
\(114\) 1031.54 + 227.060i 0.847482 + 0.186545i
\(115\) −1036.38 + 1220.12i −0.840375 + 0.989366i
\(116\) 164.090 + 17.8459i 0.131340 + 0.0142841i
\(117\) 553.669 0.437494
\(118\) −1030.50 + 440.122i −0.803941 + 0.343360i
\(119\) −249.889 −0.192498
\(120\) 668.787 + 72.7350i 0.508764 + 0.0553314i
\(121\) −169.395 + 199.427i −0.127269 + 0.149833i
\(122\) 493.181 + 108.557i 0.365988 + 0.0805601i
\(123\) −190.895 145.115i −0.139939 0.106379i
\(124\) 303.240 287.244i 0.219611 0.208026i
\(125\) 563.127 1413.34i 0.402941 1.01131i
\(126\) 159.480 + 53.7351i 0.112759 + 0.0379929i
\(127\) 217.848 + 1328.81i 0.152211 + 0.928449i 0.946923 + 0.321461i \(0.104174\pi\)
−0.794711 + 0.606988i \(0.792378\pi\)
\(128\) 537.049 + 508.720i 0.370851 + 0.351288i
\(129\) −827.840 + 383.000i −0.565018 + 0.261405i
\(130\) −1110.86 + 844.455i −0.749454 + 0.569720i
\(131\) 79.9286 487.543i 0.0533084 0.325167i −0.946687 0.322154i \(-0.895593\pi\)
0.999995 0.00301208i \(-0.000958777\pi\)
\(132\) −86.6775 + 163.491i −0.0571538 + 0.107804i
\(133\) 1051.66 231.487i 0.685640 0.150921i
\(134\) 307.678 + 142.347i 0.198353 + 0.0917680i
\(135\) 91.6774 + 230.093i 0.0584469 + 0.146691i
\(136\) −43.7302 806.556i −0.0275723 0.508541i
\(137\) −1547.46 2282.34i −0.965027 1.42331i −0.905145 0.425102i \(-0.860238\pi\)
−0.0598814 0.998206i \(-0.519072\pi\)
\(138\) −838.031 986.606i −0.516941 0.608590i
\(139\) 680.212 + 1283.02i 0.415071 + 0.782907i 0.999595 0.0284697i \(-0.00906343\pi\)
−0.584524 + 0.811377i \(0.698719\pi\)
\(140\) 124.007 41.7829i 0.0748609 0.0252236i
\(141\) −53.7212 + 990.828i −0.0320861 + 0.591793i
\(142\) 1621.86 975.840i 0.958475 0.576695i
\(143\) −538.190 1938.39i −0.314725 1.13354i
\(144\) −109.196 + 393.289i −0.0631923 + 0.227598i
\(145\) −687.824 413.850i −0.393936 0.237023i
\(146\) −1009.04 + 1488.22i −0.571978 + 0.843605i
\(147\) −852.403 + 92.7044i −0.478265 + 0.0520145i
\(148\) −281.000 + 30.5606i −0.156068 + 0.0169734i
\(149\) −833.465 + 1229.27i −0.458256 + 0.675877i −0.984685 0.174342i \(-0.944220\pi\)
0.526429 + 0.850219i \(0.323531\pi\)
\(150\) 259.623 + 156.210i 0.141321 + 0.0850301i
\(151\) −118.764 + 427.749i −0.0640058 + 0.230528i −0.988634 0.150343i \(-0.951962\pi\)
0.924628 + 0.380871i \(0.124376\pi\)
\(152\) 931.199 + 3353.88i 0.496909 + 1.78971i
\(153\) 254.822 153.321i 0.134648 0.0810151i
\(154\) 33.1041 610.569i 0.0173221 0.319487i
\(155\) −1925.01 + 648.613i −0.997554 + 0.336115i
\(156\) 163.063 + 307.570i 0.0836892 + 0.157855i
\(157\) 207.584 + 244.386i 0.105522 + 0.124230i 0.812388 0.583118i \(-0.198167\pi\)
−0.706866 + 0.707348i \(0.749891\pi\)
\(158\) −1423.64 2099.71i −0.716827 1.05724i
\(159\) 119.601 + 2205.90i 0.0596537 + 1.10025i
\(160\) 283.253 + 710.910i 0.139957 + 0.351265i
\(161\) −1197.75 554.137i −0.586309 0.271255i
\(162\) −195.598 + 43.0544i −0.0948619 + 0.0208807i
\(163\) −1169.66 + 2206.21i −0.562053 + 1.06014i 0.425809 + 0.904813i \(0.359989\pi\)
−0.987862 + 0.155332i \(0.950355\pi\)
\(164\) 24.3917 148.783i 0.0116139 0.0708415i
\(165\) 716.436 544.621i 0.338027 0.256962i
\(166\) −899.499 + 416.152i −0.420570 + 0.194576i
\(167\) −954.191 903.858i −0.442141 0.418818i 0.433970 0.900927i \(-0.357112\pi\)
−0.876111 + 0.482109i \(0.839871\pi\)
\(168\) 89.7218 + 547.279i 0.0412035 + 0.251330i
\(169\) −1504.46 506.912i −0.684780 0.230729i
\(170\) −277.420 + 696.273i −0.125160 + 0.314127i
\(171\) −930.387 + 881.309i −0.416073 + 0.394125i
\(172\) −456.572 347.077i −0.202403 0.153863i
\(173\) 1228.99 + 270.521i 0.540107 + 0.118887i 0.476642 0.879098i \(-0.341854\pi\)
0.0634650 + 0.997984i \(0.479785\pi\)
\(174\) 420.216 494.716i 0.183083 0.215542i
\(175\) 307.092 + 33.3983i 0.132651 + 0.0144267i
\(176\) 1483.04 0.635162
\(177\) 259.668 1334.54i 0.110270 0.566722i
\(178\) −625.091 −0.263216
\(179\) −2797.34 304.229i −1.16806 0.127034i −0.496536 0.868016i \(-0.665395\pi\)
−0.671525 + 0.740982i \(0.734360\pi\)
\(180\) −100.819 + 118.693i −0.0417479 + 0.0491494i
\(181\) −2118.46 466.309i −0.869967 0.191494i −0.242513 0.970148i \(-0.577972\pi\)
−0.627454 + 0.778654i \(0.715903\pi\)
\(182\) −915.769 696.150i −0.372974 0.283528i
\(183\) −444.818 + 421.354i −0.179683 + 0.170204i
\(184\) 1578.96 3962.89i 0.632622 1.58776i
\(185\) 1302.69 + 438.928i 0.517707 + 0.174436i
\(186\) −265.739 1620.93i −0.104758 0.638993i
\(187\) −784.473 743.093i −0.306772 0.290590i
\(188\) −566.239 + 261.970i −0.219666 + 0.101628i
\(189\) −162.551 + 123.568i −0.0625599 + 0.0475568i
\(190\) 522.523 3187.25i 0.199515 1.21699i
\(191\) 344.489 649.775i 0.130504 0.246157i −0.809645 0.586920i \(-0.800340\pi\)
0.940149 + 0.340762i \(0.110685\pi\)
\(192\) −1667.33 + 367.007i −0.626715 + 0.137950i
\(193\) 1667.46 + 771.448i 0.621897 + 0.287720i 0.705424 0.708785i \(-0.250756\pi\)
−0.0835272 + 0.996506i \(0.526619\pi\)
\(194\) 1597.23 + 4008.74i 0.591105 + 1.48356i
\(195\) −91.6586 1690.54i −0.0336606 0.620833i
\(196\) −302.543 446.218i −0.110256 0.162616i
\(197\) 3425.95 + 4033.34i 1.23903 + 1.45870i 0.840742 + 0.541436i \(0.182119\pi\)
0.398287 + 0.917261i \(0.369605\pi\)
\(198\) 340.862 + 642.934i 0.122343 + 0.230764i
\(199\) −3295.95 + 1110.54i −1.17409 + 0.395597i −0.837702 0.546127i \(-0.816102\pi\)
−0.336387 + 0.941724i \(0.609205\pi\)
\(200\) −54.0575 + 997.032i −0.0191122 + 0.352504i
\(201\) −352.444 + 212.059i −0.123679 + 0.0744152i
\(202\) 549.957 + 1980.77i 0.191559 + 0.689932i
\(203\) 177.037 637.631i 0.0612098 0.220458i
\(204\) 160.221 + 96.4016i 0.0549887 + 0.0330856i
\(205\) −411.484 + 606.893i −0.140192 + 0.206767i
\(206\) −4870.97 + 529.750i −1.64746 + 0.179172i
\(207\) 1561.39 169.811i 0.524270 0.0570178i
\(208\) 1565.71 2309.25i 0.521935 0.769796i
\(209\) 3989.82 + 2400.60i 1.32049 + 0.794511i
\(210\) 137.670 495.843i 0.0452388 0.162935i
\(211\) 676.636 + 2437.02i 0.220765 + 0.795125i 0.988091 + 0.153868i \(0.0491731\pi\)
−0.767326 + 0.641257i \(0.778413\pi\)
\(212\) −1190.18 + 716.109i −0.385576 + 0.231993i
\(213\) −124.332 + 2293.16i −0.0399956 + 0.737676i
\(214\) 905.708 305.168i 0.289313 0.0974808i
\(215\) 1306.48 + 2464.28i 0.414423 + 0.781686i
\(216\) −427.280 503.033i −0.134596 0.158459i
\(217\) −939.763 1386.05i −0.293987 0.433599i
\(218\) −20.7122 382.014i −0.00643489 0.118684i
\(219\) −807.482 2026.63i −0.249153 0.625328i
\(220\) 513.544 + 237.591i 0.157378 + 0.0728108i
\(221\) −1985.27 + 436.992i −0.604271 + 0.133010i
\(222\) −520.663 + 982.075i −0.157408 + 0.296903i
\(223\) 939.643 5731.57i 0.282167 1.72114i −0.341872 0.939747i \(-0.611061\pi\)
0.624038 0.781394i \(-0.285491\pi\)
\(224\) −502.227 + 381.783i −0.149806 + 0.113879i
\(225\) −333.646 + 154.361i −0.0988581 + 0.0457366i
\(226\) −71.2218 67.4648i −0.0209628 0.0198571i
\(227\) −7.59538 46.3298i −0.00222081 0.0135463i 0.985693 0.168551i \(-0.0539089\pi\)
−0.987914 + 0.155005i \(0.950461\pi\)
\(228\) −763.590 257.283i −0.221798 0.0747325i
\(229\) 419.525 1052.93i 0.121061 0.303840i −0.855940 0.517075i \(-0.827021\pi\)
0.977001 + 0.213235i \(0.0684000\pi\)
\(230\) −2873.71 + 2722.13i −0.823857 + 0.780399i
\(231\) 590.614 + 448.973i 0.168223 + 0.127880i
\(232\) 2089.03 + 459.831i 0.591172 + 0.130127i
\(233\) 2482.23 2922.31i 0.697924 0.821659i −0.292996 0.956114i \(-0.594652\pi\)
0.990920 + 0.134454i \(0.0429282\pi\)
\(234\) 1360.98 + 148.015i 0.380213 + 0.0413506i
\(235\) 3034.23 0.842262
\(236\) 817.826 248.791i 0.225576 0.0686224i
\(237\) 3077.94 0.843602
\(238\) −614.253 66.8040i −0.167295 0.0181944i
\(239\) 617.803 727.334i 0.167207 0.196851i −0.672177 0.740391i \(-0.734640\pi\)
0.839383 + 0.543540i \(0.182916\pi\)
\(240\) 1218.93 + 268.306i 0.327839 + 0.0721628i
\(241\) −2458.85 1869.17i −0.657214 0.499601i 0.222606 0.974909i \(-0.428544\pi\)
−0.879820 + 0.475307i \(0.842337\pi\)
\(242\) −469.705 + 444.928i −0.124768 + 0.118186i
\(243\) 89.9436 225.741i 0.0237444 0.0595939i
\(244\) −365.073 123.007i −0.0957843 0.0322735i
\(245\) 424.172 + 2587.33i 0.110610 + 0.674689i
\(246\) −430.446 407.740i −0.111562 0.105677i
\(247\) 7950.20 3678.15i 2.04801 0.947511i
\(248\) 4309.23 3275.79i 1.10337 0.838761i
\(249\) 194.543 1186.66i 0.0495127 0.302014i
\(250\) 1762.06 3323.60i 0.445770 0.840811i
\(251\) 7264.01 1598.93i 1.82669 0.402086i 0.837228 0.546853i \(-0.184174\pi\)
0.989466 + 0.144768i \(0.0462434\pi\)
\(252\) −116.517 53.9064i −0.0291265 0.0134753i
\(253\) −2112.24 5301.33i −0.524883 1.31736i
\(254\) 180.254 + 3324.59i 0.0445282 + 0.821274i
\(255\) −510.329 752.679i −0.125326 0.184841i
\(256\) −1763.20 2075.80i −0.430469 0.506788i
\(257\) 478.384 + 902.329i 0.116112 + 0.219011i 0.934756 0.355291i \(-0.115618\pi\)
−0.818644 + 0.574302i \(0.805274\pi\)
\(258\) −2137.31 + 720.142i −0.515748 + 0.173776i
\(259\) −61.3519 + 1131.57i −0.0147190 + 0.271476i
\(260\) 912.123 548.806i 0.217567 0.130906i
\(261\) 210.691 + 758.841i 0.0499673 + 0.179966i
\(262\) 326.810 1177.06i 0.0770625 0.277554i
\(263\) −5432.38 3268.55i −1.27367 0.766341i −0.291905 0.956447i \(-0.594289\pi\)
−0.981764 + 0.190106i \(0.939117\pi\)
\(264\) −1345.77 + 1984.87i −0.313737 + 0.462728i
\(265\) 6715.58 730.364i 1.55674 0.169305i
\(266\) 2646.96 287.875i 0.610135 0.0663561i
\(267\) 425.617 627.738i 0.0975555 0.143884i
\(268\) −221.601 133.333i −0.0505091 0.0303903i
\(269\) −352.023 + 1267.87i −0.0797890 + 0.287374i −0.992671 0.120850i \(-0.961438\pi\)
0.912882 + 0.408224i \(0.133852\pi\)
\(270\) 163.841 + 590.101i 0.0369297 + 0.133009i
\(271\) 3807.95 2291.17i 0.853566 0.513574i −0.0202699 0.999795i \(-0.506453\pi\)
0.873836 + 0.486221i \(0.161625\pi\)
\(272\) 81.1319 1496.39i 0.0180858 0.333573i
\(273\) 1322.63 445.647i 0.293221 0.0987978i
\(274\) −3193.67 6023.91i −0.704149 1.32817i
\(275\) 864.733 + 1018.04i 0.189620 + 0.223237i
\(276\) 554.183 + 817.359i 0.120862 + 0.178258i
\(277\) 438.178 + 8081.71i 0.0950453 + 1.75301i 0.525864 + 0.850569i \(0.323742\pi\)
−0.430819 + 0.902438i \(0.641775\pi\)
\(278\) 1329.04 + 3335.63i 0.286728 + 0.719633i
\(279\) 1808.74 + 836.810i 0.388122 + 0.179565i
\(280\) 1656.18 364.552i 0.353484 0.0778077i
\(281\) 2792.87 5267.91i 0.592913 1.11835i −0.387587 0.921833i \(-0.626691\pi\)
0.980500 0.196519i \(-0.0629638\pi\)
\(282\) −396.935 + 2421.20i −0.0838196 + 0.511277i
\(283\) 1081.79 822.353i 0.227228 0.172734i −0.485366 0.874311i \(-0.661313\pi\)
0.712594 + 0.701577i \(0.247520\pi\)
\(284\) −1310.50 + 606.301i −0.273816 + 0.126681i
\(285\) 2844.97 + 2694.89i 0.591303 + 0.560111i
\(286\) −804.729 4908.63i −0.166380 1.01487i
\(287\) −572.823 193.007i −0.117814 0.0396962i
\(288\) 277.896 697.466i 0.0568582 0.142703i
\(289\) 2774.12 2627.79i 0.564649 0.534864i
\(290\) −1580.11 1201.16i −0.319955 0.243224i
\(291\) −5113.25 1125.51i −1.03005 0.226731i
\(292\) 888.002 1045.44i 0.177967 0.209519i
\(293\) 1799.70 + 195.729i 0.358839 + 0.0390260i 0.285763 0.958300i \(-0.407753\pi\)
0.0730757 + 0.997326i \(0.476719\pi\)
\(294\) −2120.08 −0.420563
\(295\) −4117.78 571.926i −0.812701 0.112877i
\(296\) −3663.05 −0.719293
\(297\) −877.745 95.4605i −0.171488 0.0186504i
\(298\) −2377.37 + 2798.86i −0.462139 + 0.544072i
\(299\) −10484.7 2307.86i −2.02791 0.446377i
\(300\) −184.013 139.883i −0.0354133 0.0269205i
\(301\) −1669.31 + 1581.26i −0.319660 + 0.302798i
\(302\) −406.286 + 1019.70i −0.0774144 + 0.194295i
\(303\) −2363.61 796.394i −0.448139 0.150995i
\(304\) 1044.75 + 6372.70i 0.197107 + 1.20230i
\(305\) 1360.18 + 1288.43i 0.255356 + 0.241886i
\(306\) 667.367 308.757i 0.124676 0.0576813i
\(307\) −7166.11 + 5447.53i −1.33222 + 1.01273i −0.334700 + 0.942325i \(0.608635\pi\)
−0.997519 + 0.0704020i \(0.977572\pi\)
\(308\) −75.4660 + 460.322i −0.0139613 + 0.0851600i
\(309\) 2784.59 5252.30i 0.512654 0.966967i
\(310\) −4905.28 + 1079.73i −0.898713 + 0.197822i
\(311\) −1117.21 516.877i −0.203702 0.0942425i 0.315386 0.948964i \(-0.397866\pi\)
−0.519088 + 0.854721i \(0.673728\pi\)
\(312\) 1669.85 + 4191.02i 0.303003 + 0.760480i
\(313\) 34.9588 + 644.778i 0.00631307 + 0.116438i 0.999991 + 0.00417201i \(0.00132800\pi\)
−0.993678 + 0.112266i \(0.964189\pi\)
\(314\) 444.929 + 656.221i 0.0799643 + 0.117939i
\(315\) 404.205 + 475.867i 0.0722996 + 0.0851176i
\(316\) 906.497 + 1709.83i 0.161375 + 0.304385i
\(317\) 1861.26 627.132i 0.329775 0.111114i −0.149543 0.988755i \(-0.547780\pi\)
0.479319 + 0.877641i \(0.340884\pi\)
\(318\) −295.724 + 5454.31i −0.0521490 + 0.961831i
\(319\) 2451.89 1475.25i 0.430343 0.258929i
\(320\) 1396.62 + 5030.18i 0.243980 + 0.878736i
\(321\) −310.225 + 1117.33i −0.0539410 + 0.194278i
\(322\) −2796.05 1682.33i −0.483906 0.291156i
\(323\) 2640.47 3894.40i 0.454860 0.670868i
\(324\) 151.892 16.5192i 0.0260445 0.00283251i
\(325\) 2498.13 271.688i 0.426374 0.0463710i
\(326\) −3464.93 + 5110.40i −0.588666 + 0.868217i
\(327\) 397.734 + 239.308i 0.0672622 + 0.0404703i
\(328\) 522.716 1882.65i 0.0879944 0.316927i
\(329\) 669.183 + 2410.18i 0.112138 + 0.403883i
\(330\) 1906.67 1147.21i 0.318057 0.191368i
\(331\) −11.2874 + 208.184i −0.00187435 + 0.0345704i −0.999321 0.0368456i \(-0.988269\pi\)
0.997447 + 0.0714160i \(0.0227518\pi\)
\(332\) 716.500 241.417i 0.118443 0.0399081i
\(333\) −631.720 1191.55i −0.103958 0.196086i
\(334\) −2103.87 2476.86i −0.344666 0.405772i
\(335\) 705.834 + 1041.03i 0.115116 + 0.169783i
\(336\) 55.7041 + 1027.40i 0.00904437 + 0.166814i
\(337\) 1887.58 + 4737.47i 0.305113 + 0.765775i 0.998957 + 0.0456505i \(0.0145361\pi\)
−0.693845 + 0.720125i \(0.744085\pi\)
\(338\) −3562.61 1648.24i −0.573315 0.265244i
\(339\) 116.245 25.5874i 0.0186240 0.00409945i
\(340\) 267.823 505.168i 0.0427199 0.0805782i
\(341\) 1171.49 7145.76i 0.186040 1.13479i
\(342\) −2522.59 + 1917.62i −0.398848 + 0.303197i
\(343\) −4315.82 + 1996.71i −0.679394 + 0.314321i
\(344\) −5395.88 5111.25i −0.845716 0.801105i
\(345\) −776.976 4739.35i −0.121249 0.739588i
\(346\) 2948.67 + 993.522i 0.458154 + 0.154370i
\(347\) −3857.46 + 9681.51i −0.596771 + 1.49778i 0.251305 + 0.967908i \(0.419140\pi\)
−0.848076 + 0.529875i \(0.822239\pi\)
\(348\) −359.494 + 340.531i −0.0553762 + 0.0524551i
\(349\) 3180.07 + 2417.43i 0.487752 + 0.370779i 0.819954 0.572429i \(-0.193999\pi\)
−0.332203 + 0.943208i \(0.607792\pi\)
\(350\) 745.935 + 164.193i 0.113920 + 0.0250756i
\(351\) −1075.31 + 1265.96i −0.163521 + 0.192512i
\(352\) −2711.94 294.941i −0.410644 0.0446603i
\(353\) −1065.42 −0.160642 −0.0803210 0.996769i \(-0.525595\pi\)
−0.0803210 + 0.996769i \(0.525595\pi\)
\(354\) 995.057 3211.01i 0.149397 0.482099i
\(355\) 7022.41 1.04989
\(356\) 474.066 + 51.5578i 0.0705771 + 0.00767572i
\(357\) 485.324 571.368i 0.0719498 0.0847059i
\(358\) −6794.81 1495.65i −1.00312 0.220803i
\(359\) 1453.96 + 1105.27i 0.213753 + 0.162491i 0.706572 0.707641i \(-0.250241\pi\)
−0.492819 + 0.870132i \(0.664034\pi\)
\(360\) −1465.20 + 1387.91i −0.214508 + 0.203192i
\(361\) −4966.01 + 12463.7i −0.724013 + 1.81714i
\(362\) −5082.73 1712.57i −0.737963 0.248649i
\(363\) −126.996 774.640i −0.0183624 0.112006i
\(364\) 637.097 + 603.490i 0.0917388 + 0.0868996i
\(365\) −6054.32 + 2801.03i −0.868212 + 0.401678i
\(366\) −1206.05 + 916.816i −0.172244 + 0.130937i
\(367\) −412.563 + 2516.52i −0.0586801 + 0.357933i 0.941123 + 0.338066i \(0.109773\pi\)
−0.999803 + 0.0198671i \(0.993676\pi\)
\(368\) 3707.17 6992.46i 0.525134 0.990508i
\(369\) 702.552 154.643i 0.0991149 0.0218168i
\(370\) 3084.81 + 1427.18i 0.433437 + 0.200529i
\(371\) 2061.23 + 5173.31i 0.288447 + 0.723948i
\(372\) 67.8396 + 1251.23i 0.00945516 + 0.174390i
\(373\) −3431.42 5060.97i −0.476333 0.702539i 0.511286 0.859411i \(-0.329169\pi\)
−0.987619 + 0.156872i \(0.949859\pi\)
\(374\) −1729.66 2036.32i −0.239141 0.281538i
\(375\) 2137.90 + 4032.52i 0.294402 + 0.555302i
\(376\) −7662.13 + 2581.67i −1.05092 + 0.354095i
\(377\) 291.442 5375.33i 0.0398144 0.734333i
\(378\) −432.600 + 260.287i −0.0588639 + 0.0354172i
\(379\) 1701.69 + 6128.94i 0.230633 + 0.830666i 0.984757 + 0.173934i \(0.0556480\pi\)
−0.754124 + 0.656732i \(0.771938\pi\)
\(380\) −659.165 + 2374.10i −0.0889854 + 0.320496i
\(381\) −3461.40 2082.66i −0.465441 0.280047i
\(382\) 1020.50 1505.12i 0.136684 0.201593i
\(383\) 12668.5 1377.78i 1.69016 0.183816i 0.788135 0.615503i \(-0.211047\pi\)
0.902024 + 0.431687i \(0.142081\pi\)
\(384\) −2206.22 + 239.940i −0.293191 + 0.0318865i
\(385\) 1273.10 1877.68i 0.168527 0.248559i
\(386\) 3892.54 + 2342.07i 0.513278 + 0.308829i
\(387\) 732.074 2636.69i 0.0961587 0.346332i
\(388\) −880.688 3171.95i −0.115232 0.415030i
\(389\) 5861.51 3526.76i 0.763986 0.459675i −0.0794943 0.996835i \(-0.525331\pi\)
0.843480 + 0.537160i \(0.180503\pi\)
\(390\) 226.635 4180.03i 0.0294259 0.542729i
\(391\) −5464.59 + 1841.23i −0.706793 + 0.238146i
\(392\) −3272.56 6172.70i −0.421656 0.795328i
\(393\) 959.526 + 1129.64i 0.123160 + 0.144995i
\(394\) 7343.08 + 10830.2i 0.938931 + 1.38482i
\(395\) −509.546 9398.02i −0.0649064 1.19713i
\(396\) −205.479 515.712i −0.0260750 0.0654433i
\(397\) 272.377 + 126.015i 0.0344338 + 0.0159308i 0.437030 0.899447i \(-0.356030\pi\)
−0.402597 + 0.915377i \(0.631892\pi\)
\(398\) −8398.67 + 1848.69i −1.05776 + 0.232830i
\(399\) −1513.19 + 2854.18i −0.189861 + 0.358115i
\(400\) −299.700 + 1828.09i −0.0374625 + 0.228511i
\(401\) −2945.56 + 2239.16i −0.366819 + 0.278848i −0.772304 0.635253i \(-0.780896\pi\)
0.405485 + 0.914102i \(0.367103\pi\)
\(402\) −923.034 + 427.041i −0.114519 + 0.0529823i
\(403\) −9889.90 9368.21i −1.22246 1.15797i
\(404\) −253.710 1547.56i −0.0312440 0.190580i
\(405\) −704.156 237.258i −0.0863946 0.0291097i
\(406\) 605.637 1520.03i 0.0740326 0.185808i
\(407\) −3557.54 + 3369.88i −0.433269 + 0.410414i
\(408\) 1929.11 + 1466.47i 0.234081 + 0.177944i
\(409\) 2102.40 + 462.773i 0.254173 + 0.0559478i 0.340229 0.940343i \(-0.389495\pi\)
−0.0860559 + 0.996290i \(0.527426\pi\)
\(410\) −1173.71 + 1381.80i −0.141379 + 0.166445i
\(411\) 8223.95 + 894.408i 0.987001 + 0.107343i
\(412\) 3737.82 0.446964
\(413\) −453.857 3397.01i −0.0540747 0.404736i
\(414\) 3883.45 0.461017
\(415\) −3655.49 397.559i −0.432388 0.0470250i
\(416\) −3322.36 + 3911.39i −0.391568 + 0.460989i
\(417\) −4254.68 936.526i −0.499647 0.109981i
\(418\) 9165.63 + 6967.53i 1.07250 + 0.815294i
\(419\) 3703.49 3508.14i 0.431808 0.409030i −0.440681 0.897664i \(-0.645263\pi\)
0.872489 + 0.488634i \(0.162504\pi\)
\(420\) −145.306 + 364.690i −0.0168814 + 0.0423692i
\(421\) −2238.04 754.084i −0.259087 0.0872965i 0.186761 0.982405i \(-0.440201\pi\)
−0.445848 + 0.895109i \(0.647098\pi\)
\(422\) 1011.74 + 6171.34i 0.116708 + 0.711886i
\(423\) −2161.18 2047.18i −0.248417 0.235313i
\(424\) −16336.9 + 7558.27i −1.87121 + 0.865713i
\(425\) 1074.51 816.823i 0.122639 0.0932276i
\(426\) −918.663 + 5603.60i −0.104482 + 0.637312i
\(427\) −723.457 + 1364.59i −0.0819919 + 0.154653i
\(428\) −712.055 + 156.735i −0.0804170 + 0.0177011i
\(429\) 5477.34 + 2534.09i 0.616430 + 0.285191i
\(430\) 2552.67 + 6406.72i 0.286281 + 0.718510i
\(431\) −198.114 3654.00i −0.0221411 0.408368i −0.988505 0.151189i \(-0.951690\pi\)
0.966364 0.257179i \(-0.0827930\pi\)
\(432\) −687.174 1013.51i −0.0765317 0.112876i
\(433\) −10.0472 11.8285i −0.00111510 0.00131280i 0.761604 0.648042i \(-0.224412\pi\)
−0.762719 + 0.646730i \(0.776136\pi\)
\(434\) −1939.50 3658.28i −0.214513 0.404615i
\(435\) 2282.13 768.938i 0.251539 0.0847534i
\(436\) −15.8006 + 291.426i −0.00173558 + 0.0320109i
\(437\) 21292.0 12811.0i 2.33075 1.40236i
\(438\) −1443.09 5197.53i −0.157428 0.567003i
\(439\) −2888.76 + 10404.4i −0.314061 + 1.13115i 0.623069 + 0.782167i \(0.285885\pi\)
−0.937130 + 0.348979i \(0.886528\pi\)
\(440\) 6283.28 + 3780.52i 0.680781 + 0.409612i
\(441\) 1443.53 2129.05i 0.155872 0.229895i
\(442\) −4996.83 + 543.438i −0.537726 + 0.0584812i
\(443\) −17809.6 + 1936.91i −1.91007 + 0.207732i −0.985059 0.172219i \(-0.944906\pi\)
−0.925007 + 0.379951i \(0.875941\pi\)
\(444\) 475.871 701.857i 0.0508645 0.0750195i
\(445\) −1987.16 1195.63i −0.211686 0.127367i
\(446\) 3841.99 13837.6i 0.407900 1.46912i
\(447\) −1191.99 4293.14i −0.126127 0.454270i
\(448\) −3687.60 + 2218.76i −0.388890 + 0.233987i
\(449\) 6.96801 128.517i 0.000732384 0.0135080i −0.998144 0.0608917i \(-0.980606\pi\)
0.998877 + 0.0473837i \(0.0150883\pi\)
\(450\) −861.403 + 290.240i −0.0902376 + 0.0304046i
\(451\) −1224.31 2309.30i −0.127829 0.241110i
\(452\) 48.4497 + 57.0394i 0.00504178 + 0.00593564i
\(453\) −747.384 1102.31i −0.0775169 0.114329i
\(454\) −6.28467 115.914i −0.000649678 0.0119826i
\(455\) −1579.67 3964.68i −0.162761 0.408499i
\(456\) −9477.13 4384.59i −0.973261 0.450279i
\(457\) 15755.9 3468.13i 1.61275 0.354994i 0.685104 0.728445i \(-0.259757\pi\)
0.927650 + 0.373451i \(0.121826\pi\)
\(458\) 1312.72 2476.05i 0.133929 0.252616i
\(459\) −144.338 + 880.422i −0.0146778 + 0.0895307i
\(460\) 2403.93 1827.42i 0.243661 0.185226i
\(461\) 7792.25 3605.08i 0.787248 0.364220i 0.0152816 0.999883i \(-0.495136\pi\)
0.771966 + 0.635664i \(0.219273\pi\)
\(462\) 1331.76 + 1261.51i 0.134111 + 0.127037i
\(463\) −1323.59 8073.54i −0.132856 0.810387i −0.966231 0.257678i \(-0.917043\pi\)
0.833375 0.552709i \(-0.186406\pi\)
\(464\) 3760.79 + 1267.16i 0.376272 + 0.126781i
\(465\) 2255.64 5661.23i 0.224952 0.564587i
\(466\) 6882.81 6519.74i 0.684206 0.648114i
\(467\) 6249.92 + 4751.06i 0.619297 + 0.470777i 0.867168 0.498016i \(-0.165938\pi\)
−0.247871 + 0.968793i \(0.579731\pi\)
\(468\) −1019.95 224.508i −0.100742 0.0221750i
\(469\) −671.251 + 790.258i −0.0660885 + 0.0778054i
\(470\) 7458.46 + 811.156i 0.731985 + 0.0796082i
\(471\) −961.946 −0.0941065
\(472\) 10885.0 2059.37i 1.06148 0.200826i
\(473\) −9942.61 −0.966516
\(474\) 7565.89 + 822.841i 0.733150 + 0.0797349i
\(475\) −3765.40 + 4432.98i −0.363723 + 0.428208i
\(476\) 460.337 + 101.328i 0.0443267 + 0.00975704i
\(477\) −5276.05 4010.75i −0.506444 0.384989i
\(478\) 1713.07 1622.70i 0.163920 0.155273i
\(479\) −3309.50 + 8306.22i −0.315689 + 0.792319i 0.682427 + 0.730954i \(0.260925\pi\)
−0.998115 + 0.0613650i \(0.980455\pi\)
\(480\) −2175.61 733.048i −0.206880 0.0697060i
\(481\) 1491.41 + 9097.17i 0.141377 + 0.862360i
\(482\) −5544.42 5251.95i −0.523944 0.496307i
\(483\) 3593.24 1662.41i 0.338506 0.156609i
\(484\) 392.920 298.690i 0.0369008 0.0280513i
\(485\) −2590.09 + 15798.9i −0.242495 + 1.47915i
\(486\) 281.439 530.850i 0.0262682 0.0495470i
\(487\) 2542.22 559.585i 0.236548 0.0520682i −0.0951140 0.995466i \(-0.530322\pi\)
0.331662 + 0.943398i \(0.392391\pi\)
\(488\) −4531.02 2096.27i −0.420306 0.194454i
\(489\) −2772.80 6959.21i −0.256422 0.643572i
\(490\) 350.974 + 6473.33i 0.0323579 + 0.596807i
\(491\) 1528.22 + 2253.96i 0.140464 + 0.207169i 0.891414 0.453191i \(-0.149714\pi\)
−0.750950 + 0.660359i \(0.770404\pi\)
\(492\) 292.818 + 344.732i 0.0268318 + 0.0315888i
\(493\) −1354.40 2554.66i −0.123730 0.233380i
\(494\) 20525.7 6915.91i 1.86942 0.629882i
\(495\) −146.165 + 2695.86i −0.0132720 + 0.244788i
\(496\) 8605.06 5177.49i 0.778989 0.468702i
\(497\) 1548.75 + 5578.10i 0.139781 + 0.503445i
\(498\) 795.443 2864.93i 0.0715756 0.257792i
\(499\) 14958.1 + 9000.01i 1.34192 + 0.807406i 0.991615 0.129230i \(-0.0412504\pi\)
0.350305 + 0.936636i \(0.386078\pi\)
\(500\) −1610.47 + 2375.26i −0.144045 + 0.212450i
\(501\) 3919.85 426.309i 0.349553 0.0380162i
\(502\) 18283.1 1988.41i 1.62553 0.176787i
\(503\) −11358.9 + 16753.1i −1.00690 + 1.48506i −0.137774 + 0.990464i \(0.543995\pi\)
−0.869122 + 0.494597i \(0.835316\pi\)
\(504\) −1425.60 857.754i −0.125994 0.0758084i
\(505\) −2040.38 + 7348.77i −0.179793 + 0.647556i
\(506\) −3774.88 13595.9i −0.331648 1.19449i
\(507\) 4080.95 2455.43i 0.357478 0.215088i
\(508\) 137.510 2536.22i 0.0120099 0.221509i
\(509\) 10261.1 3457.38i 0.893550 0.301072i 0.165186 0.986262i \(-0.447178\pi\)
0.728364 + 0.685190i \(0.240281\pi\)
\(510\) −1053.22 1986.59i −0.0914461 0.172486i
\(511\) −3560.18 4191.37i −0.308206 0.362848i
\(512\) −7100.27 10472.1i −0.612872 0.903918i
\(513\) −208.142 3838.96i −0.0179137 0.330398i
\(514\) 934.694 + 2345.90i 0.0802093 + 0.201310i
\(515\) −16498.1 7632.82i −1.41163 0.653092i
\(516\) 1680.32 369.867i 0.143357 0.0315552i
\(517\) −5066.37 + 9556.19i −0.430984 + 0.812922i
\(518\) −453.317 + 2765.11i −0.0384510 + 0.234541i
\(519\) −3005.44 + 2284.68i −0.254189 + 0.193230i
\(520\) 12520.2 5792.46i 1.05586 0.488492i
\(521\) 8960.71 + 8488.04i 0.753505 + 0.713758i 0.964603 0.263707i \(-0.0849453\pi\)
−0.211098 + 0.977465i \(0.567704\pi\)
\(522\) 315.036 + 1921.63i 0.0264152 + 0.161126i
\(523\) −13179.6 4440.71i −1.10192 0.371278i −0.291166 0.956672i \(-0.594043\pi\)
−0.810749 + 0.585394i \(0.800940\pi\)
\(524\) −344.936 + 865.724i −0.0287569 + 0.0721743i
\(525\) −672.786 + 637.297i −0.0559291 + 0.0529789i
\(526\) −12479.5 9486.70i −1.03448 0.786388i
\(527\) −7145.99 1572.95i −0.590672 0.130017i
\(528\) −2880.30 + 3390.95i −0.237404 + 0.279493i
\(529\) −18179.7 1977.17i −1.49418 0.162502i
\(530\) 16702.8 1.36892
\(531\) 2547.08 + 3185.61i 0.208162 + 0.260346i
\(532\) −2031.19 −0.165532
\(533\) −4888.38 531.643i −0.397259 0.0432046i
\(534\) 1214.03 1429.26i 0.0983821 0.115824i
\(535\) 3462.95 + 762.252i 0.279843 + 0.0615982i
\(536\) −2668.15 2028.27i −0.215012 0.163448i
\(537\) 6128.49 5805.21i 0.492484 0.466505i
\(538\) −1204.26 + 3022.45i −0.0965040 + 0.242207i
\(539\) −8856.95 2984.26i −0.707785 0.238480i
\(540\) −75.5842 461.043i −0.00602338 0.0367410i
\(541\) −1271.35 1204.29i −0.101034 0.0957049i 0.635515 0.772088i \(-0.280788\pi\)
−0.736550 + 0.676383i \(0.763546\pi\)
\(542\) 9972.84 4613.93i 0.790350 0.365655i
\(543\) 5180.60 3938.19i 0.409430 0.311241i
\(544\) −445.956 + 2720.21i −0.0351474 + 0.214390i
\(545\) 664.848 1254.04i 0.0522549 0.0985633i
\(546\) 3370.31 741.861i 0.264168 0.0581478i
\(547\) 3073.83 + 1422.10i 0.240269 + 0.111160i 0.536329 0.844009i \(-0.319811\pi\)
−0.296060 + 0.955169i \(0.595673\pi\)
\(548\) 1925.21 + 4831.92i 0.150075 + 0.376660i
\(549\) −99.5129 1835.41i −0.00773608 0.142684i
\(550\) 1853.45 + 2733.63i 0.143693 + 0.211931i
\(551\) 8066.50 + 9496.61i 0.623674 + 0.734246i
\(552\) 5994.50 + 11306.8i 0.462216 + 0.871831i
\(553\) 7352.74 2477.43i 0.565408 0.190508i
\(554\) −1083.44 + 19982.8i −0.0830881 + 1.53247i
\(555\) −3533.64 + 2126.12i −0.270260 + 0.162610i
\(556\) −732.811 2639.35i −0.0558959 0.201319i
\(557\) −389.175 + 1401.68i −0.0296048 + 0.106627i −0.976876 0.213805i \(-0.931414\pi\)
0.947272 + 0.320432i \(0.103828\pi\)
\(558\) 4222.35 + 2540.50i 0.320334 + 0.192738i
\(559\) −10496.8 + 15481.7i −0.794220 + 1.17139i
\(560\) 3127.79 340.168i 0.236024 0.0256691i
\(561\) 3222.64 350.484i 0.242531 0.0263769i
\(562\) 8273.45 12202.4i 0.620987 0.915887i
\(563\) 6362.25 + 3828.04i 0.476265 + 0.286559i 0.733376 0.679823i \(-0.237943\pi\)
−0.257112 + 0.966382i \(0.582771\pi\)
\(564\) 500.735 1803.48i 0.0373843 0.134646i
\(565\) −97.3710 350.699i −0.00725032 0.0261133i
\(566\) 2878.99 1732.23i 0.213804 0.128641i
\(567\) 33.1631 611.658i 0.00245630 0.0453037i
\(568\) −17733.2 + 5975.00i −1.30998 + 0.441383i
\(569\) −8045.64 15175.7i −0.592778 1.11810i −0.980536 0.196337i \(-0.937095\pi\)
0.387758 0.921761i \(-0.373250\pi\)
\(570\) 6272.78 + 7384.89i 0.460943 + 0.542665i
\(571\) −11263.4 16612.3i −0.825500 1.21752i −0.973535 0.228539i \(-0.926605\pi\)
0.148035 0.988982i \(-0.452705\pi\)
\(572\) 205.437 + 3789.06i 0.0150170 + 0.276973i
\(573\) 816.649 + 2049.63i 0.0595393 + 0.149432i
\(574\) −1356.46 627.566i −0.0986369 0.0456343i
\(575\) 6961.59 1532.36i 0.504902 0.111137i
\(576\) 2399.06 4525.11i 0.173543 0.327338i
\(577\) 525.698 3206.61i 0.0379291 0.231357i −0.961058 0.276345i \(-0.910877\pi\)
0.998988 + 0.0449880i \(0.0143250\pi\)
\(578\) 7521.57 5717.75i 0.541273 0.411465i
\(579\) −5002.37 + 2314.34i −0.359052 + 0.166115i
\(580\) 1099.27 + 1041.29i 0.0786979 + 0.0745466i
\(581\) −490.406 2991.34i −0.0350180 0.213600i
\(582\) −12268.0 4133.57i −0.873755 0.294402i
\(583\) −8913.01 + 22370.0i −0.633171 + 1.58914i
\(584\) 12905.3 12224.5i 0.914425 0.866190i
\(585\) 4043.42 + 3073.73i 0.285769 + 0.217236i
\(586\) 4371.53 + 962.246i 0.308167 + 0.0678328i
\(587\) −3913.42 + 4607.23i −0.275169 + 0.323954i −0.882336 0.470621i \(-0.844030\pi\)
0.607167 + 0.794574i \(0.292306\pi\)
\(588\) 1607.86 + 174.865i 0.112767 + 0.0122641i
\(589\) 31531.0 2.20579
\(590\) −9969.04 2506.68i −0.695625 0.174912i
\(591\) −15875.9 −1.10499
\(592\) −6756.16 734.776i −0.469048 0.0510120i
\(593\) −5314.87 + 6257.15i −0.368053 + 0.433306i −0.914747 0.404027i \(-0.867610\pi\)
0.546694 + 0.837333i \(0.315886\pi\)
\(594\) −2132.07 469.303i −0.147272 0.0324171i
\(595\) −1824.93 1387.27i −0.125739 0.0955844i
\(596\) 2033.84 1926.55i 0.139781 0.132407i
\(597\) 3862.04 9692.99i 0.264762 0.664502i
\(598\) −25155.5 8475.87i −1.72021 0.579605i
\(599\) −784.913 4787.76i −0.0535404 0.326582i −0.999993 0.00373907i \(-0.998810\pi\)
0.946453 0.322843i \(-0.104638\pi\)
\(600\) −2174.71 2060.00i −0.147970 0.140165i
\(601\) 4523.03 2092.57i 0.306985 0.142026i −0.260348 0.965515i \(-0.583837\pi\)
0.567333 + 0.823488i \(0.307975\pi\)
\(602\) −4526.06 + 3440.62i −0.306426 + 0.232939i
\(603\) 199.633 1217.71i 0.0134821 0.0822371i
\(604\) 392.231 739.826i 0.0264233 0.0498396i
\(605\) −2344.22 + 516.002i −0.157531 + 0.0346751i
\(606\) −5597.10 2589.49i −0.375192 0.173582i
\(607\) 134.863 + 338.481i 0.00901800 + 0.0226335i 0.933417 0.358794i \(-0.116812\pi\)
−0.924399 + 0.381427i \(0.875433\pi\)
\(608\) −643.091 11861.1i −0.0428960 0.791170i
\(609\) 1114.10 + 1643.17i 0.0741307 + 0.109335i
\(610\) 2999.02 + 3530.72i 0.199060 + 0.234352i
\(611\) 9531.20 + 17977.7i 0.631082 + 1.19035i
\(612\) −531.595 + 179.115i −0.0351118 + 0.0118306i
\(613\) −797.868 + 14715.8i −0.0525703 + 0.969601i 0.846662 + 0.532131i \(0.178608\pi\)
−0.899233 + 0.437471i \(0.855874\pi\)
\(614\) −19071.3 + 11474.8i −1.25351 + 0.754213i
\(615\) −588.486 2119.53i −0.0385854 0.138972i
\(616\) −1617.24 + 5824.77i −0.105780 + 0.380985i
\(617\) −17334.5 10429.8i −1.13106 0.680534i −0.178211 0.983992i \(-0.557031\pi\)
−0.952845 + 0.303458i \(0.901859\pi\)
\(618\) 8248.94 12166.3i 0.536927 0.791908i
\(619\) 17725.2 1927.73i 1.15094 0.125173i 0.487309 0.873230i \(-0.337979\pi\)
0.663635 + 0.748057i \(0.269013\pi\)
\(620\) 3809.20 414.275i 0.246744 0.0268350i
\(621\) −2644.19 + 3899.89i −0.170866 + 0.252009i
\(622\) −2608.04 1569.21i −0.168124 0.101157i
\(623\) 511.470 1842.15i 0.0328918 0.118466i
\(624\) 2239.21 + 8064.90i 0.143654 + 0.517395i
\(625\) 7583.73 4562.98i 0.485359 0.292031i
\(626\) −86.4391 + 1594.28i −0.00551885 + 0.101789i
\(627\) −13237.8 + 4460.33i −0.843169 + 0.284097i
\(628\) −283.307 534.373i −0.0180019 0.0339551i
\(629\) 3205.59 + 3773.91i 0.203204 + 0.239230i
\(630\) 866.361 + 1277.79i 0.0547883 + 0.0808068i
\(631\) −1514.03 27924.7i −0.0955193 1.76175i −0.518003 0.855379i \(-0.673324\pi\)
0.422483 0.906371i \(-0.361158\pi\)
\(632\) 9283.00 + 23298.6i 0.584269 + 1.46640i
\(633\) −6886.35 3185.96i −0.432398 0.200049i
\(634\) 4742.82 1043.97i 0.297100 0.0653967i
\(635\) −5786.05 + 10913.6i −0.361594 + 0.682039i
\(636\) 674.150 4112.13i 0.0420311 0.256378i
\(637\) −13997.5 + 10640.6i −0.870643 + 0.661845i
\(638\) 6421.38 2970.85i 0.398471 0.184352i
\(639\) −5001.82 4737.97i −0.309654 0.293320i
\(640\) 1097.85 + 6696.62i 0.0678071 + 0.413605i
\(641\) −11842.1 3990.06i −0.729694 0.245863i −0.0701585 0.997536i \(-0.522351\pi\)
−0.659536 + 0.751673i \(0.729247\pi\)
\(642\) −1061.26 + 2663.57i −0.0652411 + 0.163743i
\(643\) 5105.15 4835.86i 0.313107 0.296590i −0.514967 0.857210i \(-0.672196\pi\)
0.828073 + 0.560620i \(0.189437\pi\)
\(644\) 1981.75 + 1506.49i 0.121261 + 0.0921800i
\(645\) −8171.93 1798.78i −0.498867 0.109809i
\(646\) 7531.66 8866.95i 0.458714 0.540040i
\(647\) −12355.2 1343.71i −0.750746 0.0816485i −0.275257 0.961371i \(-0.588763\pi\)
−0.475488 + 0.879722i \(0.657729\pi\)
\(648\) 1980.02 0.120035
\(649\) 8676.87 12013.8i 0.524803 0.726631i
\(650\) 6213.30 0.374932
\(651\) 4994.35 + 543.168i 0.300682 + 0.0327011i
\(652\) 3049.30 3589.91i 0.183159 0.215632i
\(653\) −8406.83 1850.48i −0.503805 0.110896i −0.0442061 0.999022i \(-0.514076\pi\)
−0.459599 + 0.888127i \(0.652007\pi\)
\(654\) 913.695 + 694.573i 0.0546304 + 0.0415290i
\(655\) 3290.34 3116.77i 0.196281 0.185927i
\(656\) 1341.74 3367.52i 0.0798572 0.200426i
\(657\) 6202.12 + 2089.74i 0.368292 + 0.124092i
\(658\) 1000.60 + 6103.37i 0.0592816 + 0.361602i
\(659\) −7428.04 7036.21i −0.439082 0.415921i 0.435961 0.899966i \(-0.356409\pi\)
−0.875043 + 0.484045i \(0.839167\pi\)
\(660\) −1540.63 + 712.772i −0.0908622 + 0.0420373i
\(661\) −17692.3 + 13449.3i −1.04107 + 0.791403i −0.978419 0.206632i \(-0.933750\pi\)
−0.0626544 + 0.998035i \(0.519957\pi\)
\(662\) −83.4003 + 508.719i −0.00489644 + 0.0298670i
\(663\) 2856.54 5388.01i 0.167329 0.315615i
\(664\) 9569.21 2106.34i 0.559273 0.123105i
\(665\) 8965.31 + 4147.80i 0.522797 + 0.241872i
\(666\) −1234.29 3097.83i −0.0718135 0.180238i
\(667\) −826.733 15248.2i −0.0479929 0.885176i
\(668\) 1391.27 + 2051.97i 0.0805836 + 0.118852i
\(669\) 11280.2 + 13280.1i 0.651896 + 0.767471i
\(670\) 1456.71 + 2747.65i 0.0839965 + 0.158434i
\(671\) −6328.99 + 2132.49i −0.364125 + 0.122688i
\(672\) 102.463 1889.82i 0.00588184 0.108484i
\(673\) 11649.9 7009.50i 0.667266 0.401481i −0.141234 0.989976i \(-0.545107\pi\)
0.808500 + 0.588496i \(0.200280\pi\)
\(674\) 3373.37 + 12149.8i 0.192786 + 0.694351i
\(675\) 295.049 1062.67i 0.0168244 0.0605959i
\(676\) 2565.92 + 1543.86i 0.145990 + 0.0878392i
\(677\) 565.792 834.480i 0.0321199 0.0473732i −0.811290 0.584644i \(-0.801234\pi\)
0.843410 + 0.537271i \(0.180545\pi\)
\(678\) 292.581 31.8201i 0.0165730 0.00180243i
\(679\) −13120.7 + 1426.96i −0.741571 + 0.0806507i
\(680\) 4158.29 6133.01i 0.234504 0.345868i
\(681\) 120.684 + 72.6131i 0.00679092 + 0.00408596i
\(682\) 4789.95 17251.8i 0.268939 0.968632i
\(683\) −1718.78 6190.50i −0.0962920 0.346812i 0.899672 0.436567i \(-0.143806\pi\)
−0.995964 + 0.0897542i \(0.971392\pi\)
\(684\) 2071.29 1246.25i 0.115786 0.0696662i
\(685\) 1369.48 25258.6i 0.0763872 1.40888i
\(686\) −11142.5 + 3754.35i −0.620150 + 0.208953i
\(687\) 1592.72 + 3004.19i 0.0884514 + 0.166837i
\(688\) −8926.92 10509.6i −0.494674 0.582375i
\(689\) 25422.5 + 37495.4i 1.40569 + 2.07324i
\(690\) −642.896 11857.5i −0.0354705 0.654214i
\(691\) 9956.30 + 24988.4i 0.548127 + 1.37569i 0.898454 + 0.439067i \(0.144691\pi\)
−0.350328 + 0.936627i \(0.613930\pi\)
\(692\) −2154.31 996.690i −0.118345 0.0547521i
\(693\) −2173.64 + 478.454i −0.119148 + 0.0262265i
\(694\) −12070.2 + 22766.9i −0.660202 + 1.24527i
\(695\) −2155.19 + 13146.1i −0.117627 + 0.717494i
\(696\) −5108.63 + 3883.48i −0.278222 + 0.211499i
\(697\) −2397.06 + 1109.00i −0.130266 + 0.0602674i
\(698\) 7170.68 + 6792.43i 0.388846 + 0.368334i
\(699\) 1860.93 + 11351.2i 0.100696 + 0.614221i
\(700\) −552.171 186.048i −0.0298144 0.0100457i
\(701\) 4392.02 11023.1i 0.236640 0.593921i −0.761914 0.647678i \(-0.775740\pi\)
0.998554 + 0.0537569i \(0.0171196\pi\)
\(702\) −2981.67 + 2824.38i −0.160307 + 0.151851i
\(703\) −16986.7 12912.9i −0.911330 0.692775i
\(704\) −18174.3 4000.47i −0.972970 0.214167i
\(705\) −5892.97 + 6937.74i −0.314811 + 0.370624i
\(706\) −2618.91 284.824i −0.139609 0.0151834i
\(707\) −6287.33 −0.334455
\(708\) −1019.49 + 2353.14i −0.0541170 + 0.124910i
\(709\) −22317.9 −1.18218 −0.591091 0.806605i \(-0.701302\pi\)
−0.591091 + 0.806605i \(0.701302\pi\)
\(710\) 17261.8 + 1877.33i 0.912428 + 0.0992325i
\(711\) −5977.85 + 7037.67i −0.315312 + 0.371214i
\(712\) 6035.33 + 1328.48i 0.317674 + 0.0699252i
\(713\) −30763.5 23385.8i −1.61585 1.22834i
\(714\) 1345.72 1274.74i 0.0705356 0.0668149i
\(715\) 6830.69 17143.7i 0.357277 0.896698i
\(716\) 5029.79 + 1694.73i 0.262531 + 0.0884570i
\(717\) 463.168 + 2825.20i 0.0241246 + 0.147153i
\(718\) 3278.51 + 3105.57i 0.170408 + 0.161419i
\(719\) 11101.8 5136.25i 0.575839 0.266412i −0.110280 0.993901i \(-0.535175\pi\)
0.686119 + 0.727489i \(0.259313\pi\)
\(720\) −2980.82 + 2265.96i −0.154290 + 0.117288i
\(721\) 2424.41 14788.3i 0.125229 0.763861i
\(722\) −15538.9 + 29309.6i −0.800969 + 1.51079i
\(723\) 9049.31 1991.90i 0.465488 0.102462i
\(724\) 3713.47 + 1718.03i 0.190622 + 0.0881909i
\(725\) 1323.00 + 3320.47i 0.0677722 + 0.170096i
\(726\) −105.080 1938.09i −0.00537176 0.0990763i
\(727\) −17271.8 25474.0i −0.881123 1.29956i −0.953256 0.302165i \(-0.902291\pi\)
0.0721324 0.997395i \(-0.477020\pi\)
\(728\) 7362.38 + 8667.66i 0.374818 + 0.441270i
\(729\) 341.470 + 644.080i 0.0173485 + 0.0327227i
\(730\) −15630.9 + 5266.68i −0.792503 + 0.267025i
\(731\) −543.924 + 10032.1i −0.0275209 + 0.507593i
\(732\) 990.283 595.834i 0.0500026 0.0300856i
\(733\) 9400.80 + 33858.6i 0.473706 + 1.70613i 0.684854 + 0.728680i \(0.259866\pi\)
−0.211148 + 0.977454i \(0.567720\pi\)
\(734\) −1686.87 + 6075.57i −0.0848279 + 0.305522i
\(735\) −6739.71 4055.15i −0.338229 0.203505i
\(736\) −8169.68 + 12049.4i −0.409155 + 0.603459i
\(737\) −4457.23 + 484.753i −0.222774 + 0.0242281i
\(738\) 1768.29 192.313i 0.0881999 0.00959232i
\(739\) 12419.7 18317.7i 0.618223 0.911810i −0.381699 0.924287i \(-0.624661\pi\)
0.999922 + 0.0124762i \(0.00397139\pi\)
\(740\) −2221.79 1336.81i −0.110371 0.0664081i
\(741\) −7030.50 + 25321.6i −0.348545 + 1.25535i
\(742\) 3683.72 + 13267.6i 0.182255 + 0.656425i
\(743\) 21204.1 12758.1i 1.04698 0.629945i 0.115336 0.993327i \(-0.463206\pi\)
0.931640 + 0.363382i \(0.118378\pi\)
\(744\) −879.156 + 16215.1i −0.0433218 + 0.799024i
\(745\) −12911.1 + 4350.26i −0.634935 + 0.213935i
\(746\) −7081.81 13357.7i −0.347565 0.655577i
\(747\) 2335.45 + 2749.50i 0.114390 + 0.134671i
\(748\) 1143.81 + 1687.00i 0.0559116 + 0.0824635i
\(749\) 158.254 + 2918.83i 0.00772028 + 0.142392i
\(750\) 4177.16 + 10483.9i 0.203371 + 0.510423i
\(751\) −8437.88 3903.78i −0.409990 0.189682i 0.204043 0.978962i \(-0.434592\pi\)
−0.614033 + 0.789280i \(0.710454\pi\)
\(752\) −14649.9 + 3224.70i −0.710410 + 0.156373i
\(753\) −10451.9 + 19714.4i −0.505829 + 0.954095i
\(754\) 2153.41 13135.2i 0.104008 0.634424i
\(755\) −3242.00 + 2464.51i −0.156276 + 0.118798i
\(756\) 349.550 161.719i 0.0168162 0.00777999i
\(757\) 19493.2 + 18464.9i 0.935919 + 0.886550i 0.993733 0.111777i \(-0.0356544\pi\)
−0.0578138 + 0.998327i \(0.518413\pi\)
\(758\) 2544.45 + 15520.5i 0.121924 + 0.743706i
\(759\) 16223.7 + 5466.41i 0.775868 + 0.261420i
\(760\) −11818.7 + 29662.8i −0.564093 + 1.41577i
\(761\) 16944.5 16050.7i 0.807145 0.764568i −0.168082 0.985773i \(-0.553757\pi\)
0.975227 + 0.221205i \(0.0709988\pi\)
\(762\) −7951.72 6044.74i −0.378032 0.287373i
\(763\) 1142.75 + 251.537i 0.0542204 + 0.0119348i
\(764\) −898.083 + 1057.30i −0.0425281 + 0.0500680i
\(765\) 2712.13 + 294.962i 0.128179 + 0.0139403i
\(766\) 31508.8 1.48624
\(767\) −9546.22 26194.3i −0.449405 1.23314i
\(768\) 8170.71 0.383900
\(769\) −17386.5 1890.90i −0.815310 0.0886703i −0.309044 0.951048i \(-0.600009\pi\)
−0.506266 + 0.862377i \(0.668975\pi\)
\(770\) 3631.37 4275.18i 0.169955 0.200087i
\(771\) −2992.26 &min