Properties

Label 177.4.e.a.7.2
Level $177$
Weight $4$
Character 177.7
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 7.2
Character \(\chi\) \(=\) 177.7
Dual form 177.4.e.a.76.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.77836 - 4.09778i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-6.11139 + 15.3384i) q^{4} +(11.4034 - 5.27577i) q^{5} +(12.7266 - 7.65732i) q^{6} +(-0.571992 + 2.06013i) q^{7} +(41.1522 - 9.05829i) q^{8} +(-8.94724 - 0.973071i) q^{9} +O(q^{10})\) \(q+(-2.77836 - 4.09778i) q^{2} +(-0.162417 + 2.99560i) q^{3} +(-6.11139 + 15.3384i) q^{4} +(11.4034 - 5.27577i) q^{5} +(12.7266 - 7.65732i) q^{6} +(-0.571992 + 2.06013i) q^{7} +(41.1522 - 9.05829i) q^{8} +(-8.94724 - 0.973071i) q^{9} +(-53.3017 - 32.0706i) q^{10} +(-14.9759 + 14.1859i) q^{11} +(-44.9552 - 20.7985i) q^{12} +(-56.4345 + 6.13762i) q^{13} +(10.0312 - 3.37989i) q^{14} +(13.9520 + 35.0169i) q^{15} +(-55.5589 - 52.6281i) q^{16} +(19.2438 + 69.3100i) q^{17} +(20.8713 + 39.3674i) q^{18} +(-23.2702 + 17.6896i) q^{19} +(11.2315 + 207.152i) q^{20} +(-6.07842 - 2.04806i) q^{21} +(99.7391 + 21.9542i) q^{22} +(-14.4763 + 27.3051i) q^{23} +(20.4512 + 124.747i) q^{24} +(21.2803 - 25.0531i) q^{25} +(181.946 + 214.204i) q^{26} +(4.36811 - 26.6443i) q^{27} +(-28.1035 - 21.3637i) q^{28} +(-66.6093 + 98.2414i) q^{29} +(104.728 - 154.462i) q^{30} +(24.1423 + 18.3525i) q^{31} +(-6.75928 + 41.2298i) q^{32} +(-40.0630 - 47.1658i) q^{33} +(230.551 - 271.425i) q^{34} +(4.34612 + 26.5101i) q^{35} +(69.6055 - 131.290i) q^{36} +(-126.670 - 27.8822i) q^{37} +(137.141 + 46.2083i) q^{38} +(-9.21995 - 170.052i) q^{39} +(421.486 - 320.405i) q^{40} +(113.382 + 213.860i) q^{41} +(8.49557 + 30.5983i) q^{42} +(153.916 + 145.797i) q^{43} +(-126.066 - 316.402i) q^{44} +(-107.163 + 36.1073i) q^{45} +(152.111 - 16.5430i) q^{46} +(457.088 + 211.472i) q^{47} +(166.677 - 157.884i) q^{48} +(289.985 + 174.478i) q^{49} +(-161.787 - 17.5953i) q^{50} +(-210.751 + 46.3897i) q^{51} +(250.752 - 903.126i) q^{52} +(-384.406 + 231.289i) q^{53} +(-121.319 + 56.1280i) q^{54} +(-95.9342 + 240.777i) q^{55} +(-4.87750 + 89.9601i) q^{56} +(-49.2114 - 72.5814i) q^{57} +587.636 q^{58} +(-417.646 - 175.928i) q^{59} -622.370 q^{60} +(150.073 + 221.341i) q^{61} +(8.12840 - 149.919i) q^{62} +(7.12240 - 17.8759i) q^{63} +(-367.908 + 170.212i) q^{64} +(-611.164 + 367.725i) q^{65} +(-81.9655 + 295.213i) q^{66} +(-589.841 + 129.834i) q^{67} +(-1180.71 - 128.410i) q^{68} +(-79.4441 - 47.7999i) q^{69} +(96.5576 - 91.4642i) q^{70} +(821.844 + 380.226i) q^{71} +(-377.013 + 41.0027i) q^{72} +(-614.150 + 206.931i) q^{73} +(237.681 + 596.533i) q^{74} +(71.5928 + 67.8163i) q^{75} +(-129.117 - 465.037i) q^{76} +(-20.6587 - 38.9664i) q^{77} +(-671.220 + 510.248i) q^{78} +(-19.7878 - 364.965i) q^{79} +(-911.213 - 307.024i) q^{80} +(79.1063 + 17.4126i) q^{81} +(561.338 - 1058.80i) q^{82} +(-16.4105 - 100.099i) q^{83} +(68.5616 - 80.7169i) q^{84} +(585.109 + 688.843i) q^{85} +(169.809 - 1035.79i) q^{86} +(-283.473 - 215.491i) q^{87} +(-487.791 + 719.438i) q^{88} +(-346.139 + 510.516i) q^{89} +(445.696 + 338.810i) q^{90} +(19.6358 - 119.773i) q^{91} +(-330.348 - 388.916i) q^{92} +(-58.8978 + 69.3398i) q^{93} +(-403.394 - 2460.59i) q^{94} +(-172.034 + 324.490i) q^{95} +(-122.410 - 26.9445i) q^{96} +(-696.898 - 234.812i) q^{97} +(-90.7106 - 1673.06i) q^{98} +(147.797 - 112.352i) 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 \(\left(\mathbb{Z}/177\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{9}{29}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.77836 4.09778i −0.982300 1.44878i −0.891556 0.452910i \(-0.850386\pi\)
−0.0907436 0.995874i \(-0.528924\pi\)
\(3\) −0.162417 + 2.99560i −0.0312571 + 0.576504i
\(4\) −6.11139 + 15.3384i −0.763924 + 1.91730i
\(5\) 11.4034 5.27577i 1.01995 0.471879i 0.162643 0.986685i \(-0.447998\pi\)
0.857307 + 0.514806i \(0.172136\pi\)
\(6\) 12.7266 7.65732i 0.865933 0.521015i
\(7\) −0.571992 + 2.06013i −0.0308846 + 0.111236i −0.977386 0.211464i \(-0.932177\pi\)
0.946501 + 0.322701i \(0.104591\pi\)
\(8\) 41.1522 9.05829i 1.81869 0.400324i
\(9\) −8.94724 0.973071i −0.331379 0.0360397i
\(10\) −53.3017 32.0706i −1.68555 1.01416i
\(11\) −14.9759 + 14.1859i −0.410491 + 0.388837i −0.864891 0.501960i \(-0.832612\pi\)
0.454400 + 0.890798i \(0.349854\pi\)
\(12\) −44.9552 20.7985i −1.08145 0.500334i
\(13\) −56.4345 + 6.13762i −1.20401 + 0.130944i −0.688046 0.725667i \(-0.741531\pi\)
−0.515963 + 0.856611i \(0.672566\pi\)
\(14\) 10.0312 3.37989i 0.191496 0.0645224i
\(15\) 13.9520 + 35.0169i 0.240159 + 0.602755i
\(16\) −55.5589 52.6281i −0.868107 0.822315i
\(17\) 19.2438 + 69.3100i 0.274548 + 0.988832i 0.964306 + 0.264792i \(0.0853032\pi\)
−0.689758 + 0.724040i \(0.742283\pi\)
\(18\) 20.8713 + 39.3674i 0.273300 + 0.515499i
\(19\) −23.2702 + 17.6896i −0.280977 + 0.213593i −0.736165 0.676802i \(-0.763365\pi\)
0.455188 + 0.890395i \(0.349572\pi\)
\(20\) 11.2315 + 207.152i 0.125572 + 2.31604i
\(21\) −6.07842 2.04806i −0.0631628 0.0212820i
\(22\) 99.7391 + 21.9542i 0.966566 + 0.212757i
\(23\) −14.4763 + 27.3051i −0.131240 + 0.247544i −0.940419 0.340017i \(-0.889567\pi\)
0.809180 + 0.587561i \(0.199912\pi\)
\(24\) 20.4512 + 124.747i 0.173941 + 1.06099i
\(25\) 21.2803 25.0531i 0.170242 0.200425i
\(26\) 181.946 + 214.204i 1.37241 + 1.61572i
\(27\) 4.36811 26.6443i 0.0311350 0.189915i
\(28\) −28.1035 21.3637i −0.189681 0.144191i
\(29\) −66.6093 + 98.2414i −0.426518 + 0.629068i −0.978855 0.204553i \(-0.934426\pi\)
0.552337 + 0.833621i \(0.313736\pi\)
\(30\) 104.728 154.462i 0.637353 0.940025i
\(31\) 24.1423 + 18.3525i 0.139873 + 0.106329i 0.672771 0.739851i \(-0.265104\pi\)
−0.532898 + 0.846180i \(0.678897\pi\)
\(32\) −6.75928 + 41.2298i −0.0373401 + 0.227765i
\(33\) −40.0630 47.1658i −0.211335 0.248803i
\(34\) 230.551 271.425i 1.16292 1.36909i
\(35\) 4.34612 + 26.5101i 0.0209894 + 0.128029i
\(36\) 69.6055 131.290i 0.322248 0.607823i
\(37\) −126.670 27.8822i −0.562823 0.123887i −0.0755587 0.997141i \(-0.524074\pi\)
−0.487264 + 0.873255i \(0.662005\pi\)
\(38\) 137.141 + 46.2083i 0.585454 + 0.197262i
\(39\) −9.21995 170.052i −0.0378558 0.698208i
\(40\) 421.486 320.405i 1.66607 1.26651i
\(41\) 113.382 + 213.860i 0.431884 + 0.814619i 0.999965 0.00835312i \(-0.00265891\pi\)
−0.568081 + 0.822972i \(0.692314\pi\)
\(42\) 8.49557 + 30.5983i 0.0312118 + 0.112415i
\(43\) 153.916 + 145.797i 0.545859 + 0.517065i 0.910182 0.414208i \(-0.135941\pi\)
−0.364324 + 0.931272i \(0.618700\pi\)
\(44\) −126.066 316.402i −0.431936 1.08408i
\(45\) −107.163 + 36.1073i −0.354997 + 0.119612i
\(46\) 152.111 16.5430i 0.487555 0.0530248i
\(47\) 457.088 + 211.472i 1.41858 + 0.656304i 0.971249 0.238065i \(-0.0765133\pi\)
0.447329 + 0.894370i \(0.352375\pi\)
\(48\) 166.677 157.884i 0.501202 0.474764i
\(49\) 289.985 + 174.478i 0.845437 + 0.508683i
\(50\) −161.787 17.5953i −0.457601 0.0497672i
\(51\) −210.751 + 46.3897i −0.578647 + 0.127370i
\(52\) 250.752 903.126i 0.668712 2.40848i
\(53\) −384.406 + 231.289i −0.996269 + 0.599435i −0.917616 0.397467i \(-0.869889\pi\)
−0.0786522 + 0.996902i \(0.525062\pi\)
\(54\) −121.319 + 56.1280i −0.305729 + 0.141446i
\(55\) −95.9342 + 240.777i −0.235196 + 0.590297i
\(56\) −4.87750 + 89.9601i −0.0116390 + 0.214668i
\(57\) −49.2114 72.5814i −0.114355 0.168660i
\(58\) 587.636 1.33035
\(59\) −417.646 175.928i −0.921575 0.388201i
\(60\) −622.370 −1.33913
\(61\) 150.073 + 221.341i 0.314998 + 0.464587i 0.951922 0.306339i \(-0.0991041\pi\)
−0.636925 + 0.770926i \(0.719794\pi\)
\(62\) 8.12840 149.919i 0.0166501 0.307093i
\(63\) 7.12240 17.8759i 0.0142435 0.0357484i
\(64\) −367.908 + 170.212i −0.718570 + 0.332446i
\(65\) −611.164 + 367.725i −1.16624 + 0.701703i
\(66\) −81.9655 + 295.213i −0.152867 + 0.550579i
\(67\) −589.841 + 129.834i −1.07553 + 0.236742i −0.717211 0.696856i \(-0.754582\pi\)
−0.358320 + 0.933599i \(0.616650\pi\)
\(68\) −1180.71 128.410i −2.10563 0.229001i
\(69\) −79.4441 47.7999i −0.138608 0.0833976i
\(70\) 96.5576 91.4642i 0.164869 0.156172i
\(71\) 821.844 + 380.226i 1.37373 + 0.635556i 0.961318 0.275441i \(-0.0888237\pi\)
0.412414 + 0.910997i \(0.364686\pi\)
\(72\) −377.013 + 41.0027i −0.617103 + 0.0671140i
\(73\) −614.150 + 206.931i −0.984668 + 0.331773i −0.765162 0.643838i \(-0.777341\pi\)
−0.219506 + 0.975611i \(0.570445\pi\)
\(74\) 237.681 + 596.533i 0.373376 + 0.937102i
\(75\) 71.5928 + 67.8163i 0.110224 + 0.104410i
\(76\) −129.117 465.037i −0.194878 0.701887i
\(77\) −20.6587 38.9664i −0.0305750 0.0576706i
\(78\) −671.220 + 510.248i −0.974367 + 0.740695i
\(79\) −19.7878 364.965i −0.0281810 0.519769i −0.978211 0.207611i \(-0.933431\pi\)
0.950030 0.312157i \(-0.101052\pi\)
\(80\) −911.213 307.024i −1.27346 0.429078i
\(81\) 79.1063 + 17.4126i 0.108513 + 0.0238856i
\(82\) 561.338 1058.80i 0.755968 1.42591i
\(83\) −16.4105 100.099i −0.0217022 0.132378i 0.973753 0.227606i \(-0.0730900\pi\)
−0.995455 + 0.0952289i \(0.969642\pi\)
\(84\) 68.5616 80.7169i 0.0890557 0.104845i
\(85\) 585.109 + 688.843i 0.746634 + 0.879006i
\(86\) 169.809 1035.79i 0.212918 1.29874i
\(87\) −283.473 215.491i −0.349328 0.265552i
\(88\) −487.791 + 719.438i −0.590894 + 0.871503i
\(89\) −346.139 + 510.516i −0.412254 + 0.608029i −0.975961 0.217946i \(-0.930064\pi\)
0.563707 + 0.825975i \(0.309375\pi\)
\(90\) 445.696 + 338.810i 0.522006 + 0.396819i
\(91\) 19.6358 119.773i 0.0226197 0.137974i
\(92\) −330.348 388.916i −0.374360 0.440731i
\(93\) −58.8978 + 69.3398i −0.0656711 + 0.0773140i
\(94\) −403.394 2460.59i −0.442626 2.69990i
\(95\) −172.034 + 324.490i −0.185792 + 0.350441i
\(96\) −122.410 26.9445i −0.130140 0.0286460i
\(97\) −696.898 234.812i −0.729477 0.245789i −0.0700344 0.997545i \(-0.522311\pi\)
−0.659442 + 0.751755i \(0.729207\pi\)
\(98\) −90.7106 1673.06i −0.0935016 1.72454i
\(99\) 147.797 112.352i 0.150042 0.114059i
\(100\) 254.223 + 479.516i 0.254223 + 0.479516i
\(101\) 54.5325 + 196.408i 0.0537246 + 0.193499i 0.985543 0.169427i \(-0.0541917\pi\)
−0.931818 + 0.362926i \(0.881778\pi\)
\(102\) 775.637 + 734.722i 0.752936 + 0.713219i
\(103\) −736.816 1849.27i −0.704860 1.76907i −0.636330 0.771417i \(-0.719548\pi\)
−0.0685301 0.997649i \(-0.521831\pi\)
\(104\) −2266.81 + 763.777i −2.13730 + 0.720139i
\(105\) −80.1197 + 8.71354i −0.0744655 + 0.00809861i
\(106\) 2015.79 + 932.605i 1.84709 + 0.854553i
\(107\) 1481.04 1402.92i 1.33811 1.26752i 0.402079 0.915605i \(-0.368288\pi\)
0.936030 0.351920i \(-0.114471\pi\)
\(108\) 381.987 + 229.834i 0.340340 + 0.204776i
\(109\) −1294.36 140.770i −1.13740 0.123700i −0.480021 0.877257i \(-0.659371\pi\)
−0.657383 + 0.753557i \(0.728337\pi\)
\(110\) 1253.19 275.848i 1.08625 0.239101i
\(111\) 104.097 374.924i 0.0890133 0.320597i
\(112\) 140.200 84.3555i 0.118283 0.0711682i
\(113\) 1041.29 481.753i 0.866872 0.401058i 0.0645255 0.997916i \(-0.479447\pi\)
0.802347 + 0.596858i \(0.203585\pi\)
\(114\) −160.695 + 403.315i −0.132022 + 0.331350i
\(115\) −21.0229 + 387.745i −0.0170469 + 0.314412i
\(116\) −1099.79 1622.07i −0.880286 1.29833i
\(117\) 510.905 0.403703
\(118\) 439.459 + 2200.21i 0.342843 + 1.71649i
\(119\) −153.795 −0.118473
\(120\) 891.349 + 1314.64i 0.678072 + 1.00008i
\(121\) −49.0219 + 904.155i −0.0368309 + 0.679305i
\(122\) 490.049 1229.93i 0.363664 0.912728i
\(123\) −659.056 + 304.912i −0.483130 + 0.223520i
\(124\) −429.041 + 258.145i −0.310718 + 0.186953i
\(125\) −309.683 + 1115.38i −0.221591 + 0.798098i
\(126\) −93.0400 + 20.4797i −0.0657830 + 0.0144799i
\(127\) −725.253 78.8760i −0.506739 0.0551111i −0.148821 0.988864i \(-0.547548\pi\)
−0.357918 + 0.933753i \(0.616513\pi\)
\(128\) 2006.07 + 1207.01i 1.38526 + 0.833484i
\(129\) −461.747 + 437.390i −0.315152 + 0.298528i
\(130\) 3204.89 + 1482.74i 2.16221 + 1.00035i
\(131\) 968.326 105.312i 0.645825 0.0702377i 0.220656 0.975352i \(-0.429180\pi\)
0.425169 + 0.905114i \(0.360215\pi\)
\(132\) 968.289 326.255i 0.638476 0.215127i
\(133\) −23.1324 58.0580i −0.0150815 0.0378516i
\(134\) 2170.82 + 2056.31i 1.39948 + 1.32566i
\(135\) −90.7580 326.881i −0.0578608 0.208396i
\(136\) 1419.76 + 2677.95i 0.895170 + 1.68847i
\(137\) 1133.89 861.964i 0.707118 0.537537i −0.188658 0.982043i \(-0.560414\pi\)
0.895776 + 0.444506i \(0.146621\pi\)
\(138\) 24.8510 + 458.350i 0.0153294 + 0.282734i
\(139\) −870.800 293.407i −0.531369 0.179039i 0.0408114 0.999167i \(-0.487006\pi\)
−0.572180 + 0.820128i \(0.693902\pi\)
\(140\) −433.185 95.3512i −0.261506 0.0575618i
\(141\) −707.723 + 1334.91i −0.422702 + 0.797301i
\(142\) −725.301 4424.14i −0.428633 2.61455i
\(143\) 758.088 892.491i 0.443318 0.521915i
\(144\) 445.888 + 524.939i 0.258037 + 0.303784i
\(145\) −241.273 + 1471.70i −0.138184 + 0.842883i
\(146\) 2554.29 + 1941.72i 1.44791 + 1.10067i
\(147\) −569.765 + 840.341i −0.319683 + 0.471498i
\(148\) 1201.80 1772.52i 0.667482 0.984462i
\(149\) −2558.02 1944.56i −1.40645 1.06916i −0.986884 0.161432i \(-0.948389\pi\)
−0.419567 0.907724i \(-0.637818\pi\)
\(150\) 78.9855 481.790i 0.0429942 0.262253i
\(151\) 628.140 + 739.504i 0.338525 + 0.398543i 0.904913 0.425596i \(-0.139936\pi\)
−0.566388 + 0.824139i \(0.691660\pi\)
\(152\) −797.385 + 938.754i −0.425503 + 0.500941i
\(153\) −104.736 638.859i −0.0553423 0.337573i
\(154\) −102.279 + 192.918i −0.0535184 + 0.100946i
\(155\) 372.127 + 81.9114i 0.192838 + 0.0424470i
\(156\) 2664.68 + 897.835i 1.36760 + 0.460797i
\(157\) −98.4075 1815.02i −0.0500240 0.922639i −0.910593 0.413305i \(-0.864374\pi\)
0.860569 0.509334i \(-0.170108\pi\)
\(158\) −1440.57 + 1095.09i −0.725350 + 0.551397i
\(159\) −630.417 1189.09i −0.314436 0.593089i
\(160\) 140.440 + 505.820i 0.0693923 + 0.249929i
\(161\) −47.9718 45.4413i −0.0234826 0.0222439i
\(162\) −148.433 372.539i −0.0719876 0.180675i
\(163\) −115.002 + 38.7488i −0.0552618 + 0.0186199i −0.346797 0.937940i \(-0.612731\pi\)
0.291535 + 0.956560i \(0.405834\pi\)
\(164\) −3973.20 + 432.112i −1.89180 + 0.205746i
\(165\) −705.689 326.487i −0.332957 0.154042i
\(166\) −364.591 + 345.359i −0.170468 + 0.161476i
\(167\) −3118.48 1876.33i −1.44500 0.869429i −0.445338 0.895363i \(-0.646916\pi\)
−0.999664 + 0.0259339i \(0.991744\pi\)
\(168\) −268.692 29.2221i −0.123393 0.0134198i
\(169\) 1001.55 220.457i 0.455870 0.100345i
\(170\) 1197.08 4311.50i 0.540071 1.94516i
\(171\) 225.418 135.629i 0.100808 0.0606540i
\(172\) −3176.93 + 1469.81i −1.40837 + 0.651579i
\(173\) 528.850 1327.31i 0.232414 0.583316i −0.765798 0.643081i \(-0.777656\pi\)
0.998212 + 0.0597649i \(0.0190351\pi\)
\(174\) −95.4420 + 1760.32i −0.0415830 + 0.766953i
\(175\) 39.4404 + 58.1703i 0.0170367 + 0.0251272i
\(176\) 1578.62 0.676096
\(177\) 594.842 1222.53i 0.252605 0.519157i
\(178\) 3053.68 1.28586
\(179\) 1203.57 + 1775.13i 0.502563 + 0.741225i 0.991360 0.131173i \(-0.0418742\pi\)
−0.488796 + 0.872398i \(0.662564\pi\)
\(180\) 101.083 1864.37i 0.0418573 0.772012i
\(181\) −576.960 + 1448.06i −0.236934 + 0.594660i −0.998577 0.0533375i \(-0.983014\pi\)
0.761642 + 0.647998i \(0.224393\pi\)
\(182\) −545.359 + 252.310i −0.222114 + 0.102761i
\(183\) −687.423 + 413.609i −0.277682 + 0.167076i
\(184\) −348.393 + 1254.80i −0.139586 + 0.502744i
\(185\) −1591.57 + 350.331i −0.632511 + 0.139226i
\(186\) 447.779 + 48.6989i 0.176520 + 0.0191977i
\(187\) −1271.42 764.987i −0.497194 0.299152i
\(188\) −6037.09 + 5718.63i −2.34202 + 2.21848i
\(189\) 52.3922 + 24.2392i 0.0201639 + 0.00932880i
\(190\) 1807.66 196.595i 0.690218 0.0750657i
\(191\) 3396.03 1144.26i 1.28654 0.433484i 0.408797 0.912625i \(-0.365948\pi\)
0.877738 + 0.479141i \(0.159052\pi\)
\(192\) −450.134 1129.75i −0.169196 0.424649i
\(193\) 2738.87 + 2594.40i 1.02149 + 0.967611i 0.999483 0.0321467i \(-0.0102344\pi\)
0.0220114 + 0.999758i \(0.492993\pi\)
\(194\) 974.027 + 3508.13i 0.360469 + 1.29829i
\(195\) −1002.29 1890.53i −0.368081 0.694274i
\(196\) −4448.43 + 3381.61i −1.62115 + 1.23237i
\(197\) 31.3519 + 578.251i 0.0113387 + 0.209131i 0.998713 + 0.0507240i \(0.0161529\pi\)
−0.987374 + 0.158406i \(0.949364\pi\)
\(198\) −871.027 293.483i −0.312632 0.105338i
\(199\) 3849.59 + 847.360i 1.37131 + 0.301848i 0.838737 0.544537i \(-0.183294\pi\)
0.532572 + 0.846385i \(0.321226\pi\)
\(200\) 648.794 1223.75i 0.229383 0.432663i
\(201\) −293.130 1788.02i −0.102865 0.627447i
\(202\) 653.327 769.156i 0.227564 0.267909i
\(203\) −164.290 193.417i −0.0568024 0.0668729i
\(204\) 576.434 3516.09i 0.197835 1.20674i
\(205\) 2421.21 + 1840.56i 0.824902 + 0.627074i
\(206\) −5530.75 + 8157.25i −1.87061 + 2.75894i
\(207\) 156.092 230.219i 0.0524115 0.0773012i
\(208\) 3458.45 + 2629.04i 1.15289 + 0.876401i
\(209\) 97.5496 595.026i 0.0322854 0.196932i
\(210\) 258.308 + 304.103i 0.0848806 + 0.0999292i
\(211\) −1046.31 + 1231.81i −0.341377 + 0.401900i −0.905883 0.423529i \(-0.860791\pi\)
0.564505 + 0.825430i \(0.309067\pi\)
\(212\) −1198.36 7309.69i −0.388226 2.36807i
\(213\) −1272.49 + 2400.16i −0.409339 + 0.772096i
\(214\) −9863.72 2171.17i −3.15079 0.693542i
\(215\) 2524.35 + 850.553i 0.800741 + 0.269801i
\(216\) −61.5943 1136.04i −0.0194026 0.357860i
\(217\) −51.6176 + 39.2387i −0.0161476 + 0.0122751i
\(218\) 3019.35 + 5695.11i 0.938057 + 1.76936i
\(219\) −520.135 1873.36i −0.160491 0.578035i
\(220\) −3106.85 2942.96i −0.952107 0.901884i
\(221\) −1511.41 3793.36i −0.460039 1.15461i
\(222\) −1825.58 + 615.109i −0.551913 + 0.185961i
\(223\) −3882.78 + 422.277i −1.16596 + 0.126806i −0.670559 0.741856i \(-0.733946\pi\)
−0.495405 + 0.868662i \(0.664980\pi\)
\(224\) −81.0724 37.5081i −0.0241825 0.0111880i
\(225\) −214.778 + 203.449i −0.0636381 + 0.0602812i
\(226\) −4867.21 2928.50i −1.43257 0.861952i
\(227\) 313.277 + 34.0710i 0.0915989 + 0.00996198i 0.153804 0.988101i \(-0.450848\pi\)
−0.0622048 + 0.998063i \(0.519813\pi\)
\(228\) 1414.04 311.253i 0.410732 0.0904089i
\(229\) 1491.39 5371.51i 0.430367 1.55004i −0.357330 0.933978i \(-0.616313\pi\)
0.787697 0.616063i \(-0.211273\pi\)
\(230\) 1647.30 991.148i 0.472260 0.284150i
\(231\) 120.083 55.5564i 0.0342030 0.0158240i
\(232\) −1851.22 + 4646.22i −0.523874 + 1.31482i
\(233\) 34.9097 643.872i 0.00981550 0.181036i −0.989514 0.144434i \(-0.953864\pi\)
0.999330 0.0366021i \(-0.0116534\pi\)
\(234\) −1419.48 2093.58i −0.396557 0.584878i
\(235\) 6328.03 1.75658
\(236\) 5250.86 5330.88i 1.44831 1.47038i
\(237\) 1096.50 0.300529
\(238\) 427.298 + 630.217i 0.116376 + 0.171642i
\(239\) −160.940 + 2968.36i −0.0435579 + 0.803379i 0.892395 + 0.451254i \(0.149023\pi\)
−0.935953 + 0.352124i \(0.885459\pi\)
\(240\) 1067.72 2679.77i 0.287170 0.720742i
\(241\) −4393.84 + 2032.81i −1.17441 + 0.543338i −0.907364 0.420346i \(-0.861909\pi\)
−0.267043 + 0.963685i \(0.586047\pi\)
\(242\) 3841.23 2311.19i 1.02035 0.613922i
\(243\) −65.0094 + 234.143i −0.0171620 + 0.0618118i
\(244\) −4312.18 + 949.182i −1.13139 + 0.249038i
\(245\) 4227.32 + 459.749i 1.10234 + 0.119887i
\(246\) 3080.56 + 1853.51i 0.798411 + 0.480388i
\(247\) 1204.67 1141.13i 0.310330 0.293960i
\(248\) 1159.75 + 536.557i 0.296952 + 0.137385i
\(249\) 302.523 32.9014i 0.0769945 0.00837366i
\(250\) 5430.98 1829.91i 1.37394 0.462935i
\(251\) 2063.48 + 5178.93i 0.518906 + 1.30236i 0.921997 + 0.387196i \(0.126556\pi\)
−0.403091 + 0.915160i \(0.632064\pi\)
\(252\) 230.660 + 218.493i 0.0576596 + 0.0546181i
\(253\) −170.553 614.277i −0.0423818 0.152645i
\(254\) 1691.80 + 3191.07i 0.417925 + 0.788290i
\(255\) −2158.53 + 1640.87i −0.530088 + 0.402962i
\(256\) −451.950 8335.72i −0.110339 2.03509i
\(257\) 4859.27 + 1637.28i 1.17943 + 0.397396i 0.839660 0.543113i \(-0.182754\pi\)
0.339769 + 0.940509i \(0.389651\pi\)
\(258\) 3075.23 + 676.909i 0.742075 + 0.163343i
\(259\) 129.895 245.008i 0.0311633 0.0587802i
\(260\) −1905.27 11621.6i −0.454460 2.77208i
\(261\) 691.565 814.174i 0.164011 0.193088i
\(262\) −3121.91 3675.39i −0.736153 0.866666i
\(263\) 1091.73 6659.27i 0.255966 1.56132i −0.475667 0.879626i \(-0.657793\pi\)
0.731633 0.681699i \(-0.238759\pi\)
\(264\) −2075.92 1578.07i −0.483955 0.367893i
\(265\) −3163.30 + 4665.52i −0.733284 + 1.08151i
\(266\) −173.639 + 256.098i −0.0400243 + 0.0590314i
\(267\) −1473.08 1119.81i −0.337645 0.256671i
\(268\) 1613.30 9840.71i 0.367717 2.24297i
\(269\) 5018.53 + 5908.27i 1.13749 + 1.33916i 0.932827 + 0.360325i \(0.117334\pi\)
0.204664 + 0.978832i \(0.434390\pi\)
\(270\) −1087.33 + 1280.10i −0.245084 + 0.288535i
\(271\) −54.6510 333.357i −0.0122502 0.0747231i 0.979994 0.199028i \(-0.0637783\pi\)
−0.992244 + 0.124304i \(0.960330\pi\)
\(272\) 2578.49 4863.55i 0.574794 1.08418i
\(273\) 355.603 + 78.2741i 0.0788354 + 0.0173530i
\(274\) −6682.51 2251.60i −1.47338 0.496439i
\(275\) 36.7098 + 677.073i 0.00804976 + 0.148469i
\(276\) 1218.69 926.424i 0.265784 0.202044i
\(277\) 1980.08 + 3734.82i 0.429499 + 0.810122i 0.999937 0.0112190i \(-0.00357120\pi\)
−0.570438 + 0.821341i \(0.693226\pi\)
\(278\) 1217.08 + 4383.54i 0.262575 + 0.945709i
\(279\) −198.148 187.696i −0.0425191 0.0402762i
\(280\) 418.989 + 1051.58i 0.0894264 + 0.224443i
\(281\) −6387.17 + 2152.09i −1.35597 + 0.456879i −0.901073 0.433667i \(-0.857219\pi\)
−0.454894 + 0.890546i \(0.650323\pi\)
\(282\) 7436.47 808.765i 1.57034 0.170784i
\(283\) −1918.78 887.720i −0.403037 0.186465i 0.207889 0.978152i \(-0.433341\pi\)
−0.610926 + 0.791688i \(0.709203\pi\)
\(284\) −10854.7 + 10282.1i −2.26798 + 2.14835i
\(285\) −944.100 568.046i −0.196223 0.118064i
\(286\) −5763.48 626.816i −1.19161 0.129596i
\(287\) −505.433 + 111.254i −0.103954 + 0.0228820i
\(288\) 100.596 362.316i 0.0205823 0.0741307i
\(289\) −223.811 + 134.663i −0.0455549 + 0.0274095i
\(290\) 6701.05 3100.23i 1.35689 0.627766i
\(291\) 816.591 2049.49i 0.164500 0.412863i
\(292\) 579.309 10684.7i 0.116101 2.14136i
\(293\) −987.018 1455.74i −0.196799 0.290257i 0.716466 0.697622i \(-0.245758\pi\)
−0.913266 + 0.407364i \(0.866448\pi\)
\(294\) 5026.55 0.997123
\(295\) −5690.74 + 197.231i −1.12314 + 0.0389262i
\(296\) −5465.32 −1.07319
\(297\) 312.557 + 460.988i 0.0610654 + 0.0900647i
\(298\) −861.254 + 15884.9i −0.167420 + 3.08788i
\(299\) 649.372 1629.80i 0.125599 0.315230i
\(300\) −1477.73 + 683.670i −0.284389 + 0.131572i
\(301\) −388.398 + 233.692i −0.0743751 + 0.0447500i
\(302\) 1285.12 4628.59i 0.244869 0.881938i
\(303\) −597.218 + 131.458i −0.113232 + 0.0249242i
\(304\) 2223.84 + 241.857i 0.419559 + 0.0456298i
\(305\) 2879.08 + 1732.29i 0.540511 + 0.325215i
\(306\) −2326.91 + 2204.17i −0.434708 + 0.411777i
\(307\) 5100.00 + 2359.51i 0.948119 + 0.438647i 0.832116 0.554602i \(-0.187130\pi\)
0.116004 + 0.993249i \(0.462992\pi\)
\(308\) 723.938 78.7329i 0.133929 0.0145657i
\(309\) 5659.34 1906.85i 1.04190 0.351059i
\(310\) −698.250 1752.47i −0.127929 0.321077i
\(311\) −4875.84 4618.64i −0.889015 0.842120i 0.0992198 0.995066i \(-0.468365\pi\)
−0.988235 + 0.152946i \(0.951124\pi\)
\(312\) −1919.80 6914.51i −0.348357 1.25467i
\(313\) 700.086 + 1320.50i 0.126426 + 0.238464i 0.938643 0.344891i \(-0.112084\pi\)
−0.812217 + 0.583355i \(0.801739\pi\)
\(314\) −7164.14 + 5446.04i −1.28757 + 0.978783i
\(315\) −13.0895 241.422i −0.00234130 0.0431828i
\(316\) 5718.92 + 1926.93i 1.01808 + 0.343032i
\(317\) −6296.02 1385.86i −1.11552 0.245544i −0.381296 0.924453i \(-0.624522\pi\)
−0.734223 + 0.678908i \(0.762453\pi\)
\(318\) −3121.11 + 5887.04i −0.550388 + 1.03814i
\(319\) −396.110 2416.16i −0.0695232 0.424073i
\(320\) −3297.40 + 3881.99i −0.576031 + 0.678157i
\(321\) 3962.03 + 4664.47i 0.688907 + 0.811044i
\(322\) −52.9253 + 322.830i −0.00915966 + 0.0558715i
\(323\) −1673.87 1272.45i −0.288349 0.219197i
\(324\) −750.531 + 1106.95i −0.128692 + 0.189806i
\(325\) −1047.18 + 1544.47i −0.178729 + 0.263606i
\(326\) 478.302 + 363.596i 0.0812599 + 0.0617722i
\(327\) 631.916 3854.52i 0.106866 0.651851i
\(328\) 6603.12 + 7773.79i 1.11157 + 1.30865i
\(329\) −697.109 + 820.700i −0.116817 + 0.137528i
\(330\) 622.791 + 3798.86i 0.103889 + 0.633698i
\(331\) −191.278 + 360.789i −0.0317632 + 0.0599117i −0.898886 0.438183i \(-0.855622\pi\)
0.867122 + 0.498095i \(0.165967\pi\)
\(332\) 1635.66 + 360.036i 0.270387 + 0.0595167i
\(333\) 1106.22 + 372.728i 0.182043 + 0.0613374i
\(334\) 975.496 + 17992.0i 0.159811 + 2.94754i
\(335\) −6041.22 + 4592.41i −0.985275 + 0.748986i
\(336\) 229.924 + 433.684i 0.0373316 + 0.0704148i
\(337\) −1316.09 4740.14i −0.212737 0.766208i −0.990484 0.137631i \(-0.956051\pi\)
0.777747 0.628577i \(-0.216362\pi\)
\(338\) −3686.05 3491.61i −0.593179 0.561889i
\(339\) 1274.02 + 3197.54i 0.204115 + 0.512291i
\(340\) −14141.6 + 4764.86i −2.25569 + 0.760032i
\(341\) −621.898 + 67.6355i −0.0987614 + 0.0107410i
\(342\) −1182.07 546.885i −0.186898 0.0864682i
\(343\) −1057.73 + 1001.93i −0.166507 + 0.157724i
\(344\) 7654.64 + 4605.65i 1.19974 + 0.721860i
\(345\) −1158.11 125.952i −0.180727 0.0196552i
\(346\) −6908.37 + 1520.65i −1.07340 + 0.236273i
\(347\) 899.023 3237.99i 0.139084 0.500935i −0.860885 0.508799i \(-0.830090\pi\)
0.999969 + 0.00786449i \(0.00250337\pi\)
\(348\) 5037.71 3031.09i 0.776004 0.466906i
\(349\) −5004.80 + 2315.47i −0.767625 + 0.355141i −0.764306 0.644853i \(-0.776918\pi\)
−0.00331855 + 0.999994i \(0.501056\pi\)
\(350\) 128.789 323.237i 0.0196688 0.0493649i
\(351\) −82.9796 + 1530.47i −0.0126186 + 0.232736i
\(352\) −483.656 713.339i −0.0732356 0.108014i
\(353\) 9101.03 1.37224 0.686118 0.727490i \(-0.259313\pi\)
0.686118 + 0.727490i \(0.259313\pi\)
\(354\) −6662.34 + 959.093i −1.00028 + 0.143998i
\(355\) 11377.8 1.70104
\(356\) −5715.13 8429.19i −0.850847 1.25490i
\(357\) 24.9788 460.708i 0.00370314 0.0683004i
\(358\) 3930.14 9863.91i 0.580208 1.45621i
\(359\) −7093.19 + 3281.66i −1.04280 + 0.482449i −0.865081 0.501632i \(-0.832733\pi\)
−0.177716 + 0.984082i \(0.556871\pi\)
\(360\) −4082.91 + 2456.61i −0.597745 + 0.359651i
\(361\) −1606.39 + 5785.71i −0.234202 + 0.843521i
\(362\) 7536.84 1658.98i 1.09427 0.240868i
\(363\) −2700.53 293.700i −0.390471 0.0424662i
\(364\) 1717.13 + 1033.16i 0.247258 + 0.148770i
\(365\) −5911.67 + 5599.83i −0.847756 + 0.803037i
\(366\) 3604.79 + 1667.75i 0.514824 + 0.238183i
\(367\) 2333.90 253.827i 0.331958 0.0361026i 0.0593774 0.998236i \(-0.481088\pi\)
0.272580 + 0.962133i \(0.412123\pi\)
\(368\) 2241.30 755.183i 0.317489 0.106975i
\(369\) −806.351 2023.79i −0.113759 0.285513i
\(370\) 5857.54 + 5548.55i 0.823024 + 0.779610i
\(371\) −256.609 924.221i −0.0359096 0.129335i
\(372\) −703.617 1327.16i −0.0980668 0.184974i
\(373\) 8678.31 6597.08i 1.20468 0.915774i 0.206644 0.978416i \(-0.433746\pi\)
0.998036 + 0.0626419i \(0.0199526\pi\)
\(374\) 397.714 + 7335.40i 0.0549874 + 1.01418i
\(375\) −3290.92 1108.84i −0.453180 0.152694i
\(376\) 20725.8 + 4562.09i 2.84269 + 0.625723i
\(377\) 3156.09 5953.02i 0.431159 0.813253i
\(378\) −46.2376 282.037i −0.00629155 0.0383768i
\(379\) 3944.95 4644.35i 0.534666 0.629457i −0.426812 0.904340i \(-0.640363\pi\)
0.961478 + 0.274883i \(0.0886392\pi\)
\(380\) −3925.80 4621.81i −0.529972 0.623931i
\(381\) 354.074 2159.76i 0.0476110 0.290414i
\(382\) −14124.3 10737.0i −1.89179 1.43810i
\(383\) 3277.20 4833.51i 0.437225 0.644858i −0.543692 0.839285i \(-0.682974\pi\)
0.980917 + 0.194426i \(0.0622845\pi\)
\(384\) −3941.55 + 5813.35i −0.523805 + 0.772555i
\(385\) −441.157 335.359i −0.0583986 0.0443934i
\(386\) 3021.69 18431.5i 0.398445 2.43041i
\(387\) −1235.25 1454.25i −0.162251 0.191017i
\(388\) 7860.66 9254.29i 1.02852 1.21086i
\(389\) 131.077 + 799.534i 0.0170845 + 0.104211i 0.993992 0.109451i \(-0.0349093\pi\)
−0.976908 + 0.213662i \(0.931461\pi\)
\(390\) −4962.23 + 9359.76i −0.644288 + 1.21526i
\(391\) −2171.10 477.895i −0.280811 0.0618112i
\(392\) 13514.0 + 4553.40i 1.74123 + 0.586687i
\(393\) 158.200 + 2917.82i 0.0203056 + 0.374516i
\(394\) 2282.44 1735.07i 0.291847 0.221856i
\(395\) −2151.12 4057.44i −0.274011 0.516840i
\(396\) 820.062 + 2953.60i 0.104065 + 0.374808i
\(397\) 9894.77 + 9372.83i 1.25089 + 1.18491i 0.974629 + 0.223827i \(0.0718549\pi\)
0.276264 + 0.961082i \(0.410904\pi\)
\(398\) −7223.28 18129.1i −0.909724 2.28324i
\(399\) 177.676 59.8659i 0.0222930 0.00751138i
\(400\) −2500.81 + 271.979i −0.312601 + 0.0339974i
\(401\) −782.066 361.822i −0.0973928 0.0450587i 0.370588 0.928797i \(-0.379156\pi\)
−0.467981 + 0.883739i \(0.655018\pi\)
\(402\) −6512.47 + 6168.94i −0.807992 + 0.765370i
\(403\) −1475.10 887.536i −0.182332 0.109706i
\(404\) −3345.87 363.885i −0.412037 0.0448117i
\(405\) 993.945 218.784i 0.121949 0.0268431i
\(406\) −336.123 + 1210.61i −0.0410875 + 0.147984i
\(407\) 2292.53 1379.37i 0.279205 0.167992i
\(408\) −8252.65 + 3818.08i −1.00139 + 0.463292i
\(409\) −4543.65 + 11403.7i −0.549313 + 1.37867i 0.348090 + 0.937461i \(0.386830\pi\)
−0.897403 + 0.441211i \(0.854549\pi\)
\(410\) 815.193 15035.3i 0.0981939 1.81108i
\(411\) 2397.94 + 3536.69i 0.287790 + 0.424458i
\(412\) 32867.8 3.93030
\(413\) 601.324 759.775i 0.0716446 0.0905232i
\(414\) −1377.07 −0.163476
\(415\) −715.237 1054.90i −0.0846014 0.124778i
\(416\) 128.404 2368.27i 0.0151334 0.279120i
\(417\) 1020.36 2560.91i 0.119826 0.300740i
\(418\) −2709.32 + 1253.46i −0.317026 + 0.146672i
\(419\) 4333.50 2607.38i 0.505263 0.304007i −0.240005 0.970772i \(-0.577149\pi\)
0.745268 + 0.666765i \(0.232322\pi\)
\(420\) 355.991 1282.16i 0.0413585 0.148960i
\(421\) 14639.2 3222.33i 1.69470 0.373033i 0.740469 0.672090i \(-0.234603\pi\)
0.954235 + 0.299058i \(0.0966723\pi\)
\(422\) 7954.68 + 865.124i 0.917602 + 0.0997952i
\(423\) −3883.90 2336.87i −0.446434 0.268611i
\(424\) −13724.1 + 13000.1i −1.57193 + 1.48902i
\(425\) 2145.95 + 992.820i 0.244926 + 0.113315i
\(426\) 13370.8 1454.16i 1.52069 0.165385i
\(427\) −541.831 + 182.564i −0.0614076 + 0.0206906i
\(428\) 12467.3 + 31290.6i 1.40802 + 3.53386i
\(429\) 2550.42 + 2415.89i 0.287029 + 0.271888i
\(430\) −3528.19 12707.4i −0.395684 1.42513i
\(431\) −7944.87 14985.6i −0.887914 1.67478i −0.725682 0.688030i \(-0.758476\pi\)
−0.162232 0.986753i \(-0.551869\pi\)
\(432\) −1644.93 + 1250.44i −0.183198 + 0.139264i
\(433\) −48.8749 901.444i −0.00542442 0.100048i 0.994567 0.104095i \(-0.0331945\pi\)
−0.999992 + 0.00404711i \(0.998712\pi\)
\(434\) 304.204 + 102.498i 0.0336458 + 0.0113366i
\(435\) −4369.44 961.786i −0.481606 0.106009i
\(436\) 10069.5 18993.1i 1.10606 2.08625i
\(437\) −146.150 891.476i −0.0159984 0.0975860i
\(438\) −6231.48 + 7336.26i −0.679798 + 0.800320i
\(439\) 7762.52 + 9138.75i 0.843929 + 0.993550i 0.999983 + 0.00580191i \(0.00184682\pi\)
−0.156054 + 0.987749i \(0.549877\pi\)
\(440\) −1766.88 + 10777.5i −0.191438 + 1.16772i
\(441\) −2424.79 1843.27i −0.261828 0.199036i
\(442\) −11345.1 + 16732.8i −1.22089 + 1.80067i
\(443\) −5261.06 + 7759.48i −0.564245 + 0.832199i −0.997615 0.0690170i \(-0.978014\pi\)
0.433371 + 0.901216i \(0.357324\pi\)
\(444\) 5114.58 + 3888.00i 0.546682 + 0.415577i
\(445\) −1253.79 + 7647.77i −0.133562 + 0.814694i
\(446\) 12518.2 + 14737.5i 1.32904 + 1.56467i
\(447\) 6240.58 7346.98i 0.660334 0.777405i
\(448\) −140.219 855.297i −0.0147873 0.0901986i
\(449\) 1214.44 2290.67i 0.127646 0.240765i −0.811449 0.584423i \(-0.801321\pi\)
0.939095 + 0.343657i \(0.111666\pi\)
\(450\) 1430.42 + 314.860i 0.149846 + 0.0329836i
\(451\) −4731.79 1594.33i −0.494039 0.166461i
\(452\) 1025.59 + 18916.0i 0.106725 + 1.96844i
\(453\) −2317.28 + 1761.55i −0.240343 + 0.182704i
\(454\) −730.783 1378.40i −0.0755448 0.142493i
\(455\) −407.980 1469.41i −0.0420361 0.151400i
\(456\) −2682.62 2541.12i −0.275494 0.260962i
\(457\) 135.668 + 340.501i 0.0138868 + 0.0348533i 0.935757 0.352646i \(-0.114718\pi\)
−0.921870 + 0.387500i \(0.873339\pi\)
\(458\) −26154.9 + 8812.61i −2.66842 + 0.899097i
\(459\) 1930.78 209.985i 0.196342 0.0213535i
\(460\) −5818.92 2692.12i −0.589801 0.272871i
\(461\) −10139.6 + 9604.69i −1.02439 + 0.970358i −0.999570 0.0293335i \(-0.990662\pi\)
−0.0248252 + 0.999692i \(0.507903\pi\)
\(462\) −561.293 337.719i −0.0565232 0.0340089i
\(463\) 13781.1 + 1498.78i 1.38328 + 0.150441i 0.769305 0.638882i \(-0.220603\pi\)
0.613978 + 0.789323i \(0.289568\pi\)
\(464\) 8871.00 1952.65i 0.887555 0.195366i
\(465\) −305.813 + 1101.44i −0.0304984 + 0.109845i
\(466\) −2735.44 + 1645.86i −0.271924 + 0.163611i
\(467\) 8862.12 4100.06i 0.878138 0.406270i 0.0715867 0.997434i \(-0.477194\pi\)
0.806551 + 0.591165i \(0.201332\pi\)
\(468\) −3122.34 + 7836.49i −0.308398 + 0.774021i
\(469\) 69.9099 1289.41i 0.00688303 0.126950i
\(470\) −17581.6 25930.9i −1.72548 2.54490i
\(471\) 5453.06 0.533468
\(472\) −18780.7 3456.66i −1.83146 0.337089i
\(473\) −4373.28 −0.425124
\(474\) −3046.48 4493.22i −0.295210 0.435402i
\(475\) −52.0189 + 959.432i −0.00502482 + 0.0926774i
\(476\) 939.900 2358.97i 0.0905047 0.227150i
\(477\) 3664.44 1695.35i 0.351746 0.162735i
\(478\) 12610.9 7587.70i 1.20671 0.726053i
\(479\) −1408.08 + 5071.45i −0.134315 + 0.483759i −0.999854 0.0170826i \(-0.994562\pi\)
0.865539 + 0.500841i \(0.166976\pi\)
\(480\) −1538.04 + 338.549i −0.146254 + 0.0321929i
\(481\) 7319.69 + 796.065i 0.693866 + 0.0754624i
\(482\) 20537.7 + 12357.1i 1.94080 + 1.16774i
\(483\) 143.915 136.324i 0.0135577 0.0128425i
\(484\) −13568.7 6277.57i −1.27430 0.589553i
\(485\) −9185.81 + 999.017i −0.860013 + 0.0935320i
\(486\) 1140.08 384.139i 0.106410 0.0358537i
\(487\) −1134.65 2847.75i −0.105577 0.264977i 0.866692 0.498843i \(-0.166242\pi\)
−0.972269 + 0.233866i \(0.924862\pi\)
\(488\) 8180.81 + 7749.27i 0.758868 + 0.718838i
\(489\) −97.3976 350.795i −0.00900710 0.0324406i
\(490\) −9861.08 18600.0i −0.909140 1.71482i
\(491\) 14775.6 11232.1i 1.35808 1.03238i 0.363154 0.931729i \(-0.381700\pi\)
0.994922 0.100653i \(-0.0320931\pi\)
\(492\) −649.120 11972.3i −0.0594809 1.09706i
\(493\) −8090.93 2726.15i −0.739142 0.249046i
\(494\) −8023.10 1766.02i −0.730722 0.160844i
\(495\) 1092.64 2060.94i 0.0992131 0.187136i
\(496\) −375.460 2290.20i −0.0339892 0.207325i
\(497\) −1253.40 + 1475.62i −0.113124 + 0.133180i
\(498\) −975.342 1148.26i −0.0877633 0.103323i
\(499\) 1129.03 6886.79i 0.101287 0.617826i −0.886586 0.462564i \(-0.846930\pi\)
0.987873 0.155262i \(-0.0496222\pi\)
\(500\) −15215.5 11566.5i −1.36092 1.03454i
\(501\) 6127.22 9036.97i 0.546395 0.805873i
\(502\) 15489.0 22844.6i 1.37711 2.03109i
\(503\) −8962.66 6813.23i −0.794483 0.603950i 0.127207 0.991876i \(-0.459399\pi\)
−0.921691 + 0.387926i \(0.873192\pi\)
\(504\) 131.178 800.149i 0.0115935 0.0707172i
\(505\) 1658.06 + 1952.02i 0.146104 + 0.172007i
\(506\) −2043.31 + 2405.58i −0.179519 + 0.211346i
\(507\) 497.734 + 3036.04i 0.0435998 + 0.265947i
\(508\) 5642.14 10642.2i 0.492775 0.929471i
\(509\) 5340.12 + 1175.45i 0.465023 + 0.102359i 0.441301 0.897359i \(-0.354517\pi\)
0.0237224 + 0.999719i \(0.492448\pi\)
\(510\) 12721.1 + 4286.24i 1.10451 + 0.372153i
\(511\) −75.0161 1383.59i −0.00649416 0.119778i
\(512\) −17991.8 + 13677.0i −1.55299 + 1.18055i
\(513\) 369.680 + 697.290i 0.0318163 + 0.0600119i
\(514\) −6791.62 24461.2i −0.582812 2.09910i
\(515\) −18158.5 17200.7i −1.55371 1.47175i
\(516\) −3886.96 9755.54i −0.331616 0.832294i
\(517\) −9845.21 + 3317.24i −0.837508 + 0.282189i
\(518\) −1364.89 + 148.440i −0.115771 + 0.0125909i
\(519\) 3890.20 + 1799.80i 0.329019 + 0.152221i
\(520\) −21819.8 + 20668.8i −1.84012 + 1.74305i
\(521\) 4738.33 + 2850.96i 0.398445 + 0.239737i 0.700648 0.713507i \(-0.252894\pi\)
−0.302203 + 0.953244i \(0.597722\pi\)
\(522\) −5257.72 571.812i −0.440851 0.0479455i
\(523\) −17693.4 + 3894.61i −1.47931 + 0.325621i −0.880029 0.474919i \(-0.842477\pi\)
−0.599280 + 0.800540i \(0.704546\pi\)
\(524\) −4302.50 + 15496.2i −0.358694 + 1.29190i
\(525\) −180.661 + 108.700i −0.0150184 + 0.00903630i
\(526\) −30321.5 + 14028.2i −2.51346 + 1.16285i
\(527\) −807.420 + 2026.47i −0.0667396 + 0.167504i
\(528\) −256.394 + 4728.92i −0.0211328 + 0.389772i
\(529\) 6291.95 + 9279.94i 0.517133 + 0.762714i
\(530\) 27907.1 2.28718
\(531\) 3565.59 + 1980.47i 0.291400 + 0.161855i
\(532\) 1031.89 0.0840941
\(533\) −7711.23 11373.2i −0.626661 0.924256i
\(534\) −495.969 + 9147.61i −0.0401923 + 0.741303i
\(535\) 9487.43 23811.7i 0.766687 1.92424i
\(536\) −23097.2 + 10685.9i −1.86128 + 0.861121i
\(537\) −5513.06 + 3317.10i −0.443028 + 0.266561i
\(538\) 10267.5 36980.1i 0.822793 2.96343i
\(539\) −6817.91 + 1500.74i −0.544839 + 0.119928i
\(540\) 5568.50 + 605.611i 0.443759 + 0.0482617i
\(541\) −8422.08 5067.40i −0.669304 0.402707i 0.139956 0.990158i \(-0.455304\pi\)
−0.809260 + 0.587451i \(0.800132\pi\)
\(542\) −1214.18 + 1150.13i −0.0962243 + 0.0911485i
\(543\) −4244.10 1963.53i −0.335418 0.155181i
\(544\) −2987.71 + 324.933i −0.235473 + 0.0256092i
\(545\) −15502.7 + 5223.48i −1.21847 + 0.410549i
\(546\) −667.244 1674.66i −0.0522993 0.131261i
\(547\) 2218.31 + 2101.30i 0.173397 + 0.164250i 0.769477 0.638675i \(-0.220517\pi\)
−0.596080 + 0.802925i \(0.703276\pi\)
\(548\) 6291.51 + 22660.0i 0.490438 + 1.76640i
\(549\) −1127.36 2126.42i −0.0876402 0.165307i
\(550\) 2672.50 2031.58i 0.207192 0.157504i
\(551\) −187.834 3464.39i −0.0145227 0.267855i
\(552\) −3702.29 1247.45i −0.285471 0.0961863i
\(553\) 763.192 + 167.991i 0.0586876 + 0.0129181i
\(554\) 9803.11 18490.6i 0.751794 1.41803i
\(555\) −790.954 4824.60i −0.0604939 0.368996i
\(556\) 9822.20 11563.6i 0.749198 0.882024i
\(557\) 14380.0 + 16929.5i 1.09390 + 1.28784i 0.954700 + 0.297571i \(0.0961763\pi\)
0.139197 + 0.990265i \(0.455548\pi\)
\(558\) −218.609 + 1333.46i −0.0165851 + 0.101164i
\(559\) −9581.00 7283.29i −0.724925 0.551074i
\(560\) 1153.71 1701.60i 0.0870595 0.128403i
\(561\) 2498.09 3684.41i 0.188003 0.277284i
\(562\) 26564.7 + 20193.9i 1.99389 + 1.51571i
\(563\) −1656.54 + 10104.5i −0.124005 + 0.756399i 0.849475 + 0.527628i \(0.176919\pi\)
−0.973480 + 0.228770i \(0.926530\pi\)
\(564\) −16150.2 19013.5i −1.20576 1.41953i
\(565\) 9332.65 10987.2i 0.694916 0.818118i
\(566\) 1693.37 + 10329.1i 0.125756 + 0.767077i
\(567\) −81.1203 + 153.009i −0.00600835 + 0.0113329i
\(568\) 37264.9 + 8202.63i 2.75282 + 0.605941i
\(569\) −6008.98 2024.66i −0.442723 0.149171i 0.0891065 0.996022i \(-0.471599\pi\)
−0.531830 + 0.846851i \(0.678495\pi\)
\(570\) 295.325 + 5446.95i 0.0217014 + 0.400259i
\(571\) −4965.94 + 3775.01i −0.363954 + 0.276671i −0.771128 0.636680i \(-0.780307\pi\)
0.407174 + 0.913351i \(0.366514\pi\)
\(572\) 9056.43 + 17082.2i 0.662008 + 1.24868i
\(573\) 2876.16 + 10359.0i 0.209692 + 0.755242i
\(574\) 1860.17 + 1762.05i 0.135265 + 0.128130i
\(575\) 376.019 + 943.737i 0.0272715 + 0.0684462i
\(576\) 3457.39 1164.93i 0.250100 0.0842687i
\(577\) −17961.1 + 1953.39i −1.29590 + 0.140937i −0.729947 0.683504i \(-0.760455\pi\)
−0.565948 + 0.824441i \(0.691490\pi\)
\(578\) 1173.65 + 542.987i 0.0844590 + 0.0390749i
\(579\) −8216.62 + 7783.20i −0.589760 + 0.558651i
\(580\) −21099.1 12694.9i −1.51050 0.908839i
\(581\) 215.604 + 23.4484i 0.0153955 + 0.00167436i
\(582\) −10667.1 + 2348.02i −0.759738 + 0.167231i
\(583\) 2475.77 8916.91i 0.175876 0.633449i
\(584\) −23399.2 + 14078.8i −1.65799 + 0.997579i
\(585\) 5826.06 2695.42i 0.411757 0.190499i
\(586\) −3223.02 + 8089.17i −0.227204 + 0.570240i
\(587\) 8.45739 155.987i 0.000594674 0.0109681i −0.998221 0.0596222i \(-0.981010\pi\)
0.998816 + 0.0486540i \(0.0154932\pi\)
\(588\) −9407.46 13875.0i −0.659791 0.973119i
\(589\) −886.444 −0.0620124
\(590\) 16619.2 + 22771.4i 1.15966 + 1.58896i
\(591\) −1737.30 −0.120919
\(592\) 5570.26 + 8215.52i 0.386717 + 0.570364i
\(593\) −1020.53 + 18822.6i −0.0706716 + 1.30346i 0.721180 + 0.692747i \(0.243600\pi\)
−0.791852 + 0.610713i \(0.790883\pi\)
\(594\) 1020.63 2561.58i 0.0704998 0.176941i
\(595\) −1753.78 + 811.386i −0.120837 + 0.0559052i
\(596\) 45459.5 27352.1i 3.12432 1.87984i
\(597\) −3163.59 + 11394.2i −0.216880 + 0.781130i
\(598\) −8482.76 + 1867.20i −0.580077 + 0.127685i
\(599\) 15685.1 + 1705.86i 1.06991 + 0.116360i 0.626087 0.779753i \(-0.284655\pi\)
0.443826 + 0.896113i \(0.353621\pi\)
\(600\) 3560.50 + 2142.28i 0.242262 + 0.145764i
\(601\) −15724.4 + 14894.9i −1.06724 + 1.01094i −0.0673262 + 0.997731i \(0.521447\pi\)
−0.999913 + 0.0132114i \(0.995795\pi\)
\(602\) 2036.73 + 942.291i 0.137892 + 0.0637955i
\(603\) 5403.79 587.698i 0.364941 0.0396897i
\(604\) −15181.6 + 5115.29i −1.02274 + 0.344600i
\(605\) 4211.10 + 10569.1i 0.282984 + 0.710237i
\(606\) 2197.97 + 2082.03i 0.147338 + 0.139566i
\(607\) −4624.35 16655.4i −0.309220 1.11371i −0.940957 0.338526i \(-0.890072\pi\)
0.631737 0.775183i \(-0.282342\pi\)
\(608\) −572.048 1079.00i −0.0381572 0.0719722i
\(609\) 606.083 460.732i 0.0403280 0.0306565i
\(610\) −900.610 16610.8i −0.0597781 1.10254i
\(611\) −27093.5 9128.86i −1.79392 0.604442i
\(612\) 10439.2 + 2297.84i 0.689508 + 0.151772i
\(613\) 1980.23 3735.11i 0.130474 0.246101i −0.809664 0.586894i \(-0.800351\pi\)
0.940138 + 0.340793i \(0.110695\pi\)
\(614\) −4500.90 27454.3i −0.295833 1.80450i
\(615\) −5906.82 + 6954.05i −0.387295 + 0.455958i
\(616\) −1203.12 1416.42i −0.0786934 0.0926450i
\(617\) 434.830 2652.34i 0.0283721 0.173062i −0.968839 0.247690i \(-0.920329\pi\)
0.997211 + 0.0746278i \(0.0237769\pi\)
\(618\) −23537.6 17892.8i −1.53207 1.16465i
\(619\) −11122.3 + 16404.2i −0.722204 + 1.06517i 0.272476 + 0.962163i \(0.412157\pi\)
−0.994680 + 0.103009i \(0.967153\pi\)
\(620\) −3530.61 + 5207.25i −0.228698 + 0.337304i
\(621\) 664.293 + 504.982i 0.0429262 + 0.0326316i
\(622\) −5379.32 + 32812.4i −0.346770 + 2.11520i
\(623\) −853.740 1005.10i −0.0549027 0.0646365i
\(624\) −8437.27 + 9933.13i −0.541284 + 0.637249i
\(625\) 3017.78 + 18407.6i 0.193138 + 1.17809i
\(626\) 3466.04 6537.64i 0.221295 0.417407i
\(627\) 1766.62 + 388.862i 0.112523 + 0.0247682i
\(628\) 28441.0 + 9582.88i 1.80719 + 0.608915i
\(629\) −505.102 9316.06i −0.0320187 0.590550i
\(630\) −952.926 + 724.395i −0.0602626 + 0.0458105i
\(631\) 10315.7 + 19457.4i 0.650809 + 1.22756i 0.960912 + 0.276853i \(0.0892915\pi\)
−0.310103 + 0.950703i \(0.600364\pi\)
\(632\) −4120.27 14839.9i −0.259328 0.934016i
\(633\) −3520.06 3334.38i −0.221027 0.209367i
\(634\) 11813.7 + 29650.1i 0.740034 + 1.85734i
\(635\) −8686.48 + 2926.81i −0.542854 + 0.182909i
\(636\) 22091.5 2402.60i 1.37734 0.149794i
\(637\) −17436.0 8066.77i −1.08452 0.501754i
\(638\) −8800.37 + 8336.15i −0.546097 + 0.517291i
\(639\) −6983.25 4201.68i −0.432321 0.260119i
\(640\) 29243.9 + 3180.47i 1.80620 + 0.196436i
\(641\) 19827.7 4364.41i 1.22176 0.268930i 0.443156 0.896445i \(-0.353859\pi\)
0.778605 + 0.627515i \(0.215928\pi\)
\(642\) 8105.99 29195.1i 0.498314 1.79477i
\(643\) 10824.3 6512.79i 0.663873 0.399439i −0.143361 0.989670i \(-0.545791\pi\)
0.807234 + 0.590231i \(0.200963\pi\)
\(644\) 990.172 458.102i 0.0605873 0.0280307i
\(645\) −2957.91 + 7423.80i −0.180570 + 0.453197i
\(646\) −563.572 + 10394.5i −0.0343242 + 0.633073i
\(647\) 875.579 + 1291.38i 0.0532033 + 0.0784690i 0.853360 0.521322i \(-0.174561\pi\)
−0.800157 + 0.599791i \(0.795250\pi\)
\(648\) 3413.13 0.206914
\(649\) 8750.31 3290.01i 0.529245 0.198990i
\(650\) 9238.34 0.557473
\(651\) −109.160 160.999i −0.00657191 0.00969284i
\(652\) 108.478 2000.77i 0.00651586 0.120178i
\(653\) 1274.73 3199.33i 0.0763921 0.191730i −0.885821 0.464027i \(-0.846404\pi\)
0.962213 + 0.272297i \(0.0877834\pi\)
\(654\) −17550.7 + 8119.80i −1.04937 + 0.485488i
\(655\) 10486.6 6309.58i 0.625565 0.376390i
\(656\) 4955.72 17848.9i 0.294952 1.06232i
\(657\) 5696.31 1253.85i 0.338256 0.0744557i
\(658\) 5299.87 + 576.396i 0.313998 + 0.0341493i
\(659\) −3176.99 1911.53i −0.187797 0.112993i 0.418551 0.908193i \(-0.362538\pi\)
−0.606347 + 0.795200i \(0.707366\pi\)
\(660\) 9320.54 8828.88i 0.549699 0.520703i
\(661\) 22821.9 + 10558.5i 1.34292 + 0.621300i 0.953954 0.299952i \(-0.0969707\pi\)
0.388965 + 0.921253i \(0.372833\pi\)
\(662\) 2009.88 218.587i 0.118000 0.0128333i
\(663\) 11608.9 3911.49i 0.680017 0.229125i
\(664\) −1582.06 3970.66i −0.0924634 0.232066i
\(665\) −570.088 540.016i −0.0332437 0.0314901i
\(666\) −1546.12 5568.61i −0.0899561 0.323993i
\(667\) −1718.24 3240.94i −0.0997459 0.188141i
\(668\) 47838.2 36365.6i 2.77083 2.10633i
\(669\) −634.346 11699.8i −0.0366596 0.676146i
\(670\) 35603.4 + 11996.2i 2.05295 + 0.691721i
\(671\) −5387.39 1185.86i −0.309952 0.0682257i
\(672\) 125.527 236.769i 0.00720580 0.0135916i
\(673\) 1760.42 + 10738.1i 0.100831 + 0.615040i 0.988103 + 0.153794i \(0.0491492\pi\)
−0.887272 + 0.461246i \(0.847403\pi\)
\(674\) −15767.5 + 18562.9i −0.901099 + 1.06086i
\(675\) −574.568 676.434i −0.0327632 0.0385718i
\(676\) −2739.38 + 16709.5i −0.155859 + 0.950698i
\(677\) −9756.86 7416.98i −0.553895 0.421060i 0.290426 0.956897i \(-0.406203\pi\)
−0.844321 + 0.535837i \(0.819996\pi\)
\(678\) 9563.14 14104.6i 0.541696 0.798942i
\(679\) 882.363 1301.39i 0.0498703 0.0735533i
\(680\) 30318.3 + 23047.3i 1.70978 + 1.29974i
\(681\) −152.944 + 932.920i −0.00860623 + 0.0524957i
\(682\) 2005.01 + 2360.48i 0.112575 + 0.132533i
\(683\) −381.029 + 448.582i −0.0213465 + 0.0251311i −0.772732 0.634733i \(-0.781110\pi\)
0.751385 + 0.659864i \(0.229386\pi\)
\(684\) 702.726 + 4286.44i 0.0392827 + 0.239614i
\(685\) 8382.72 15811.5i 0.467573 0.881935i
\(686\) 7044.46 + 1550.60i 0.392068 + 0.0863007i
\(687\) 15848.7 + 5340.04i 0.880152 + 0.296558i
\(688\) −878.371 16200.6i −0.0486738 0.897735i
\(689\) 20274.2 15412.0i 1.12102 0.852180i
\(690\) 2701.54 + 5095.64i 0.149052 + 0.281141i
\(691\) −925.115 3331.96i −0.0509306 0.183435i 0.933710 0.358031i \(-0.116552\pi\)
−0.984640 + 0.174596i \(0.944138\pi\)
\(692\) 17126.9 + 16223.5i 0.940848 + 0.891218i
\(693\) 146.921 + 368.744i 0.00805350 + 0.0202128i
\(694\) −15766.4 + 5312.31i −0.862368 + 0.290566i
\(695\) −11478.0 + 1248.31i −0.626455 + 0.0681311i
\(696\) −13617.5 6300.15i −0.741626 0.343113i
\(697\) −12640.8 + 11974.0i −0.686949 + 0.650713i
\(698\) 23393.5 + 14075.4i 1.26856 + 0.763268i
\(699\) 1923.11 + 209.151i 0.104061 + 0.0113173i
\(700\) −1133.28 + 249.453i −0.0611912 + 0.0134692i
\(701\) −4665.51 + 16803.6i −0.251375 + 0.905370i 0.724903 + 0.688851i \(0.241884\pi\)
−0.976278 + 0.216520i \(0.930529\pi\)
\(702\) 6502.07 3912.17i 0.349580 0.210335i
\(703\) 3440.87 1591.92i 0.184601 0.0854057i
\(704\) 3095.13 7768.18i 0.165699 0.415873i
\(705\) −1027.78 + 18956.3i −0.0549055 + 1.01267i
\(706\) −25286.0 37294.0i −1.34795 1.98807i
\(707\) −435.818 −0.0231834
\(708\) 15116.3 + 16595.3i 0.802411 + 0.880917i
\(709\) −13794.7 −0.730707 −0.365354 0.930869i \(-0.619052\pi\)
−0.365354 + 0.930869i \(0.619052\pi\)
\(710\) −31611.7 46623.7i −1.67094 2.46445i
\(711\) −178.090 + 3284.68i −0.00939368 + 0.173256i
\(712\) −9619.97 + 24144.3i −0.506354 + 1.27085i
\(713\) −850.606 + 393.532i −0.0446781 + 0.0206703i
\(714\) −1957.28 + 1177.66i −0.102590 + 0.0617264i
\(715\) 3936.20 14176.9i 0.205882 0.741520i
\(716\) −34583.2 + 7612.33i −1.80507 + 0.397327i
\(717\) −8865.89 964.224i −0.461789 0.0502226i
\(718\) 33155.0 + 19948.7i 1.72330 + 1.03688i
\(719\) −11668.4 + 11052.9i −0.605225 + 0.573299i −0.927722 0.373271i \(-0.878236\pi\)
0.322498 + 0.946570i \(0.395478\pi\)
\(720\) 7854.09 + 3633.69i 0.406534 + 0.188083i
\(721\) 4231.18 460.169i 0.218554 0.0237692i
\(722\) 28171.7 9492.15i 1.45214 0.489282i
\(723\) −5375.84 13492.3i −0.276528 0.694033i
\(724\) −18685.0 17699.3i −0.959145 0.908550i
\(725\) 1043.79 + 3759.38i 0.0534693 + 0.192579i
\(726\) 6299.53 + 11882.2i 0.322035 + 0.607422i
\(727\) 8327.80 6330.63i 0.424843 0.322957i −0.370811 0.928708i \(-0.620920\pi\)
0.795654 + 0.605751i \(0.207127\pi\)
\(728\) −276.882 5106.79i −0.0140961 0.259987i
\(729\) −690.839 232.771i −0.0350983 0.0118260i
\(730\) 39371.6 + 8666.35i 1.99618 + 0.439392i
\(731\) −7143.24 + 13473.6i −0.361426 + 0.681722i
\(732\) −2143.00 13071.7i −0.108207 0.660034i
\(733\) 349.008 410.884i 0.0175865 0.0207044i −0.753298 0.657679i \(-0.771538\pi\)
0.770885 + 0.636974i \(0.219814\pi\)
\(734\) −7524.54 8858.58i −0.378387 0.445472i
\(735\) −2063.81 + 12588.7i −0.103571 + 0.631756i
\(736\) −1027.94 781.416i −0.0514813 0.0391350i
\(737\) 6991.58 10311.8i 0.349441 0.515387i
\(738\) −6052.71 + 8927.08i −0.301901 + 0.445271i
\(739\) 6922.17 + 5262.10i 0.344569 + 0.261934i 0.763117 0.646260i \(-0.223668\pi\)
−0.418549 + 0.908194i \(0.637461\pi\)
\(740\) 4353.17 26553.2i 0.216251 1.31907i
\(741\) 3222.70 + 3794.06i 0.159769 + 0.188095i
\(742\) −3074.30 + 3619.35i −0.152104 + 0.179071i
\(743\) 3946.37 + 24071.8i 0.194857 + 1.18857i 0.885242 + 0.465131i \(0.153993\pi\)
−0.690385 + 0.723442i \(0.742559\pi\)
\(744\) −1795.67 + 3387.00i −0.0884847 + 0.166900i
\(745\) −39429.1 8679.01i −1.93902 0.426811i
\(746\) −51144.9 17232.7i −2.51012 0.845757i
\(747\) 49.4246 + 911.582i 0.00242082 + 0.0446493i
\(748\) 19503.8 14826.4i 0.953383 0.724743i
\(749\) 2043.05 + 3853.59i 0.0996679 + 0.187994i
\(750\) 4599.60 + 16566.2i 0.223938 + 0.806552i
\(751\) 26899.0 + 25480.1i 1.30700 + 1.23806i 0.953057 + 0.302792i \(0.0979188\pi\)
0.353945 + 0.935266i \(0.384840\pi\)
\(752\) −14265.9 35804.8i −0.691789 1.73626i
\(753\) −15849.2 + 5340.20i −0.767032 + 0.258443i
\(754\) −33163.0 + 3606.69i −1.60176 + 0.174201i
\(755\) 11064.4 + 5118.93i 0.533343 + 0.246751i
\(756\) −691.980 + 655.479i −0.0332898 + 0.0315338i
\(757\) −17685.6 10641.1i −0.849135 0.510907i 0.0232486 0.999730i \(-0.492599\pi\)
−0.872383 + 0.488822i \(0.837427\pi\)
\(758\) −29992.0 3261.83i −1.43715 0.156299i
\(759\) 1867.83 411.140i 0.0893253 0.0196620i
\(760\) −4140.24 + 14911.8i −0.197608 + 0.711721i
\(761\) 9006.44 5419.00i 0.429019 0.258132i −0.284628 0.958638i \(-0.591870\pi\)
0.713646 + 0.700506i \(0.247042\pi\)
\(762\) −9833.96 + 4549.67i −0.467515 + 0.216296i
\(763\) 1030.37 2586.02i 0.0488883 0.122700i
\(764\) −3203.38 + 59082.8i −0.151694 + 2.79783i
\(765\) −4564.81 6732.60i −0.215740 0.318193i
\(766\) −28911.9 −1.36375
\(767\) 24649.4 + 7365.05i 1.16042 + 0.346723i
\(768\) 25043.9 1.17668
\(769\) −1596.58 2354.79i −0.0748690 0.110424i 0.788411 0.615149i \(-0.210904\pi\)
−0.863280 + 0.504725i \(0.831594\pi\)
\(770\) −148.532 + 2739.51i −0.00695159 + 0.128215i
\(771\) −5693.86 + 14290.5i −0.265966 + 0.667523i