Properties

Label 224.3.v.b.13.3
Level 224
Weight 3
Character 224.13
Analytic conductor 6.104
Analytic rank 0
Dimension 240
CM no
Inner twists 4

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Newspace parameters

Level: \( N \) \(=\) \( 224 = 2^{5} \cdot 7 \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 224.v (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.10355792167\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(60\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.3
Character \(\chi\) \(=\) 224.13
Dual form 224.3.v.b.69.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.91889 - 0.563790i) q^{2} +(-4.49480 - 1.86181i) q^{3} +(3.36428 + 2.16370i) q^{4} +(0.432309 + 1.04369i) q^{5} +(7.57535 + 6.10672i) q^{6} +(-6.93508 - 0.951145i) q^{7} +(-5.23581 - 6.04866i) q^{8} +(10.3729 + 10.3729i) q^{9} +O(q^{10})\) \(q+(-1.91889 - 0.563790i) q^{2} +(-4.49480 - 1.86181i) q^{3} +(3.36428 + 2.16370i) q^{4} +(0.432309 + 1.04369i) q^{5} +(7.57535 + 6.10672i) q^{6} +(-6.93508 - 0.951145i) q^{7} +(-5.23581 - 6.04866i) q^{8} +(10.3729 + 10.3729i) q^{9} +(-0.241133 - 2.24645i) q^{10} +(4.35814 + 10.5215i) q^{11} +(-11.0934 - 15.9890i) q^{12} +(-5.75095 + 13.8840i) q^{13} +(12.7714 + 5.73507i) q^{14} -5.49603i q^{15} +(6.63677 + 14.5586i) q^{16} +2.83244 q^{17} +(-14.0563 - 25.7526i) q^{18} +(11.1668 - 26.9590i) q^{19} +(-0.803818 + 4.44664i) q^{20} +(29.4009 + 17.1870i) q^{21} +(-2.43089 - 22.6467i) q^{22} +(-18.7312 - 18.7312i) q^{23} +(12.2725 + 36.9356i) q^{24} +(16.7753 - 16.7753i) q^{25} +(18.8631 - 23.3996i) q^{26} +(-10.5555 - 25.4833i) q^{27} +(-21.2736 - 18.2054i) q^{28} +(0.210363 - 0.507862i) q^{29} +(-3.09861 + 10.5463i) q^{30} -35.8709i q^{31} +(-4.52724 - 31.6781i) q^{32} -55.4060i q^{33} +(-5.43515 - 1.59690i) q^{34} +(-2.00540 - 7.64923i) q^{35} +(12.4535 + 57.3413i) q^{36} +(59.9916 - 24.8494i) q^{37} +(-36.6271 + 45.4356i) q^{38} +(51.6987 - 51.6987i) q^{39} +(4.04941 - 8.07943i) q^{40} +(-20.9255 + 20.9255i) q^{41} +(-46.7273 - 49.5559i) q^{42} +(23.1324 + 55.8466i) q^{43} +(-8.10336 + 44.8270i) q^{44} +(-6.34176 + 15.3104i) q^{45} +(25.3826 + 46.5035i) q^{46} -2.87518 q^{47} +(-2.72564 - 77.7944i) q^{48} +(47.1906 + 13.1925i) q^{49} +(-41.6477 + 22.7322i) q^{50} +(-12.7313 - 5.27346i) q^{51} +(-49.3887 + 34.2664i) q^{52} +(-12.1364 - 29.3000i) q^{53} +(5.88768 + 54.8509i) q^{54} +(-9.09706 + 9.09706i) q^{55} +(30.5576 + 46.9279i) q^{56} +(-100.385 + 100.385i) q^{57} +(-0.689991 + 0.855930i) q^{58} +(23.7882 + 57.4297i) q^{59} +(11.8918 - 18.4902i) q^{60} +(48.9259 + 20.2658i) q^{61} +(-20.2237 + 68.8323i) q^{62} +(-62.0709 - 81.8032i) q^{63} +(-9.17255 + 63.3393i) q^{64} -16.9767 q^{65} +(-31.2373 + 106.318i) q^{66} +(18.8808 - 45.5823i) q^{67} +(9.52913 + 6.12857i) q^{68} +(49.3190 + 119.067i) q^{69} +(-0.464422 + 15.8087i) q^{70} +(40.7778 - 40.7778i) q^{71} +(8.43160 - 117.053i) q^{72} +(59.6846 - 59.6846i) q^{73} +(-129.127 + 13.8605i) q^{74} +(-106.634 + 44.1692i) q^{75} +(95.8995 - 66.5360i) q^{76} +(-20.2166 - 77.1126i) q^{77} +(-128.351 + 70.0569i) q^{78} -89.6609i q^{79} +(-12.3255 + 13.2205i) q^{80} +2.16916i q^{81} +(51.9514 - 28.3562i) q^{82} +(-23.1587 + 55.9100i) q^{83} +(61.7255 + 121.437i) q^{84} +(1.22449 + 2.95618i) q^{85} +(-12.9028 - 120.205i) q^{86} +(-1.89108 + 1.89108i) q^{87} +(40.8225 - 81.4494i) q^{88} +(-32.4260 - 32.4260i) q^{89} +(20.8010 - 25.8035i) q^{90} +(53.0890 - 90.8167i) q^{91} +(-22.4882 - 103.546i) q^{92} +(-66.7846 + 161.232i) q^{93} +(5.51716 + 1.62100i) q^{94} +32.9642 q^{95} +(-38.6295 + 150.816i) q^{96} +29.3452i q^{97} +(-83.1159 - 51.9207i) q^{98} +(-63.9319 + 154.345i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} + O(q^{10}) \) \( 240q - 8q^{2} - 8q^{4} - 4q^{7} - 8q^{8} - 8q^{9} - 8q^{11} + 12q^{14} - 112q^{16} - 176q^{18} - 4q^{21} - 192q^{22} + 128q^{23} - 8q^{25} + 56q^{28} - 8q^{29} - 16q^{30} - 8q^{32} + 92q^{35} + 192q^{36} - 8q^{37} - 8q^{39} - 424q^{42} + 128q^{43} - 16q^{44} - 8q^{46} - 320q^{50} - 80q^{51} - 192q^{53} + 608q^{56} - 8q^{57} - 712q^{58} + 264q^{60} + 496q^{63} - 272q^{64} - 16q^{65} + 304q^{67} + 320q^{70} + 504q^{71} - 8q^{72} + 232q^{74} + 164q^{77} + 560q^{78} - 1000q^{84} - 208q^{85} - 8q^{86} - 800q^{88} + 188q^{91} + 1560q^{92} + 64q^{93} - 16q^{95} - 376q^{98} + 64q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(129\) \(197\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{8}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.91889 0.563790i −0.959445 0.281895i
\(3\) −4.49480 1.86181i −1.49827 0.620602i −0.525169 0.850998i \(-0.675998\pi\)
−0.973097 + 0.230396i \(0.925998\pi\)
\(4\) 3.36428 + 2.16370i 0.841070 + 0.540926i
\(5\) 0.432309 + 1.04369i 0.0864617 + 0.208737i 0.961196 0.275865i \(-0.0889643\pi\)
−0.874735 + 0.484602i \(0.838964\pi\)
\(6\) 7.57535 + 6.10672i 1.26256 + 1.01779i
\(7\) −6.93508 0.951145i −0.990726 0.135878i
\(8\) −5.23581 6.04866i −0.654476 0.756082i
\(9\) 10.3729 + 10.3729i 1.15255 + 1.15255i
\(10\) −0.241133 2.24645i −0.0241133 0.224645i
\(11\) 4.35814 + 10.5215i 0.396195 + 0.956499i 0.988560 + 0.150829i \(0.0481943\pi\)
−0.592365 + 0.805670i \(0.701806\pi\)
\(12\) −11.0934 15.9890i −0.924447 1.33242i
\(13\) −5.75095 + 13.8840i −0.442380 + 1.06800i 0.532731 + 0.846285i \(0.321166\pi\)
−0.975111 + 0.221716i \(0.928834\pi\)
\(14\) 12.7714 + 5.73507i 0.912244 + 0.409648i
\(15\) 5.49603i 0.366402i
\(16\) 6.63677 + 14.5586i 0.414798 + 0.909913i
\(17\) 2.83244 0.166614 0.0833071 0.996524i \(-0.473452\pi\)
0.0833071 + 0.996524i \(0.473452\pi\)
\(18\) −14.0563 25.7526i −0.780908 1.43070i
\(19\) 11.1668 26.9590i 0.587725 1.41889i −0.297946 0.954583i \(-0.596302\pi\)
0.885672 0.464312i \(-0.153698\pi\)
\(20\) −0.803818 + 4.44664i −0.0401909 + 0.222332i
\(21\) 29.4009 + 17.1870i 1.40004 + 0.818427i
\(22\) −2.43089 22.6467i −0.110495 1.02939i
\(23\) −18.7312 18.7312i −0.814398 0.814398i 0.170892 0.985290i \(-0.445335\pi\)
−0.985290 + 0.170892i \(0.945335\pi\)
\(24\) 12.2725 + 36.9356i 0.511353 + 1.53898i
\(25\) 16.7753 16.7753i 0.671011 0.671011i
\(26\) 18.8631 23.3996i 0.725504 0.899984i
\(27\) −10.5555 25.4833i −0.390946 0.943828i
\(28\) −21.2736 18.2054i −0.759770 0.650192i
\(29\) 0.210363 0.507862i 0.00725390 0.0175125i −0.920211 0.391422i \(-0.871983\pi\)
0.927465 + 0.373910i \(0.121983\pi\)
\(30\) −3.09861 + 10.5463i −0.103287 + 0.351543i
\(31\) 35.8709i 1.15713i −0.815638 0.578563i \(-0.803614\pi\)
0.815638 0.578563i \(-0.196386\pi\)
\(32\) −4.52724 31.6781i −0.141476 0.989942i
\(33\) 55.4060i 1.67897i
\(34\) −5.43515 1.59690i −0.159857 0.0469678i
\(35\) −2.00540 7.64923i −0.0572971 0.218549i
\(36\) 12.4535 + 57.3413i 0.345930 + 1.59281i
\(37\) 59.9916 24.8494i 1.62140 0.671604i 0.627167 0.778885i \(-0.284214\pi\)
0.994229 + 0.107281i \(0.0342143\pi\)
\(38\) −36.6271 + 45.4356i −0.963870 + 1.19567i
\(39\) 51.6987 51.6987i 1.32561 1.32561i
\(40\) 4.04941 8.07943i 0.101235 0.201986i
\(41\) −20.9255 + 20.9255i −0.510379 + 0.510379i −0.914642 0.404264i \(-0.867528\pi\)
0.404264 + 0.914642i \(0.367528\pi\)
\(42\) −46.7273 49.5559i −1.11255 1.17990i
\(43\) 23.1324 + 55.8466i 0.537964 + 1.29876i 0.926142 + 0.377175i \(0.123104\pi\)
−0.388178 + 0.921584i \(0.626896\pi\)
\(44\) −8.10336 + 44.8270i −0.184167 + 1.01879i
\(45\) −6.34176 + 15.3104i −0.140928 + 0.340230i
\(46\) 25.3826 + 46.5035i 0.551796 + 1.01095i
\(47\) −2.87518 −0.0611741 −0.0305870 0.999532i \(-0.509738\pi\)
−0.0305870 + 0.999532i \(0.509738\pi\)
\(48\) −2.72564 77.7944i −0.0567841 1.62072i
\(49\) 47.1906 + 13.1925i 0.963074 + 0.269235i
\(50\) −41.6477 + 22.7322i −0.832953 + 0.454644i
\(51\) −12.7313 5.27346i −0.249632 0.103401i
\(52\) −49.3887 + 34.2664i −0.949782 + 0.658969i
\(53\) −12.1364 29.3000i −0.228990 0.552830i 0.767065 0.641569i \(-0.221716\pi\)
−0.996055 + 0.0887393i \(0.971716\pi\)
\(54\) 5.88768 + 54.8509i 0.109031 + 1.01576i
\(55\) −9.09706 + 9.09706i −0.165401 + 0.165401i
\(56\) 30.5576 + 46.9279i 0.545672 + 0.837999i
\(57\) −100.385 + 100.385i −1.76114 + 1.76114i
\(58\) −0.689991 + 0.855930i −0.0118964 + 0.0147574i
\(59\) 23.7882 + 57.4297i 0.403189 + 0.973385i 0.986887 + 0.161414i \(0.0516054\pi\)
−0.583698 + 0.811971i \(0.698395\pi\)
\(60\) 11.8918 18.4902i 0.198196 0.308170i
\(61\) 48.9259 + 20.2658i 0.802065 + 0.332226i 0.745783 0.666189i \(-0.232076\pi\)
0.0562815 + 0.998415i \(0.482076\pi\)
\(62\) −20.2237 + 68.8323i −0.326188 + 1.11020i
\(63\) −62.0709 81.8032i −0.985252 1.29846i
\(64\) −9.17255 + 63.3393i −0.143321 + 0.989676i
\(65\) −16.9767 −0.261180
\(66\) −31.2373 + 106.318i −0.473293 + 1.61088i
\(67\) 18.8808 45.5823i 0.281803 0.680333i −0.718074 0.695966i \(-0.754976\pi\)
0.999878 + 0.0156328i \(0.00497628\pi\)
\(68\) 9.52913 + 6.12857i 0.140134 + 0.0901260i
\(69\) 49.3190 + 119.067i 0.714768 + 1.72560i
\(70\) −0.464422 + 15.8087i −0.00663460 + 0.225838i
\(71\) 40.7778 40.7778i 0.574335 0.574335i −0.359002 0.933337i \(-0.616883\pi\)
0.933337 + 0.359002i \(0.116883\pi\)
\(72\) 8.43160 117.053i 0.117106 1.62573i
\(73\) 59.6846 59.6846i 0.817598 0.817598i −0.168162 0.985759i \(-0.553783\pi\)
0.985759 + 0.168162i \(0.0537830\pi\)
\(74\) −129.127 + 13.8605i −1.74496 + 0.187304i
\(75\) −106.634 + 44.1692i −1.42178 + 0.588922i
\(76\) 95.8995 66.5360i 1.26184 0.875474i
\(77\) −20.2166 77.1126i −0.262553 1.00146i
\(78\) −128.351 + 70.0569i −1.64553 + 0.898165i
\(79\) 89.6609i 1.13495i −0.823391 0.567474i \(-0.807921\pi\)
0.823391 0.567474i \(-0.192079\pi\)
\(80\) −12.3255 + 13.2205i −0.154069 + 0.165257i
\(81\) 2.16916i 0.0267797i
\(82\) 51.9514 28.3562i 0.633554 0.345807i
\(83\) −23.1587 + 55.9100i −0.279020 + 0.673615i −0.999809 0.0195402i \(-0.993780\pi\)
0.720789 + 0.693155i \(0.243780\pi\)
\(84\) 61.7255 + 121.437i 0.734827 + 1.44568i
\(85\) 1.22449 + 2.95618i 0.0144058 + 0.0347786i
\(86\) −12.9028 120.205i −0.150033 1.39774i
\(87\) −1.89108 + 1.89108i −0.0217366 + 0.0217366i
\(88\) 40.8225 81.4494i 0.463892 0.925562i
\(89\) −32.4260 32.4260i −0.364338 0.364338i 0.501069 0.865407i \(-0.332940\pi\)
−0.865407 + 0.501069i \(0.832940\pi\)
\(90\) 20.8010 25.8035i 0.231122 0.286705i
\(91\) 53.0890 90.8167i 0.583395 0.997986i
\(92\) −22.4882 103.546i −0.244437 1.12550i
\(93\) −66.7846 + 161.232i −0.718114 + 1.73368i
\(94\) 5.51716 + 1.62100i 0.0586932 + 0.0172447i
\(95\) 32.9642 0.346992
\(96\) −38.6295 + 150.816i −0.402391 + 1.57100i
\(97\) 29.3452i 0.302528i 0.988493 + 0.151264i \(0.0483343\pi\)
−0.988493 + 0.151264i \(0.951666\pi\)
\(98\) −83.1159 51.9207i −0.848121 0.529803i
\(99\) −63.9319 + 154.345i −0.645776 + 1.55904i
\(100\) 92.7335 20.1400i 0.927335 0.201400i
\(101\) 39.6793 + 95.7942i 0.392864 + 0.948458i 0.989313 + 0.145807i \(0.0465778\pi\)
−0.596449 + 0.802651i \(0.703422\pi\)
\(102\) 21.4568 + 17.2969i 0.210360 + 0.169578i
\(103\) 103.220 + 103.220i 1.00214 + 1.00214i 0.999998 + 0.00213996i \(0.000681172\pi\)
0.00213996 + 0.999998i \(0.499319\pi\)
\(104\) 114.091 37.9086i 1.09702 0.364505i
\(105\) −5.22752 + 38.1154i −0.0497859 + 0.363004i
\(106\) 6.76947 + 63.0659i 0.0638629 + 0.594961i
\(107\) 51.9433 + 125.402i 0.485451 + 1.17198i 0.956986 + 0.290136i \(0.0937004\pi\)
−0.471534 + 0.881848i \(0.656300\pi\)
\(108\) 19.6266 108.572i 0.181728 1.00530i
\(109\) −106.571 44.1430i −0.977711 0.404981i −0.164134 0.986438i \(-0.552483\pi\)
−0.813577 + 0.581457i \(0.802483\pi\)
\(110\) 22.5851 12.3274i 0.205319 0.112068i
\(111\) −315.915 −2.84608
\(112\) −32.1792 107.278i −0.287314 0.957836i
\(113\) 128.823i 1.14002i −0.821637 0.570011i \(-0.806939\pi\)
0.821637 0.570011i \(-0.193061\pi\)
\(114\) 249.224 136.032i 2.18617 1.19326i
\(115\) 11.4518 27.6471i 0.0995808 0.240409i
\(116\) 1.80658 1.25343i 0.0155740 0.0108054i
\(117\) −203.672 + 84.3636i −1.74078 + 0.721057i
\(118\) −13.2686 123.613i −0.112446 1.04757i
\(119\) −19.6432 2.69406i −0.165069 0.0226392i
\(120\) −33.2436 + 28.7762i −0.277030 + 0.239801i
\(121\) −6.14836 + 6.14836i −0.0508129 + 0.0508129i
\(122\) −82.4579 66.4718i −0.675884 0.544851i
\(123\) 133.015 55.0967i 1.08143 0.447941i
\(124\) 77.6140 120.680i 0.625919 0.973224i
\(125\) 50.8524 + 21.0637i 0.406819 + 0.168510i
\(126\) 72.9873 + 191.966i 0.579265 + 1.52354i
\(127\) −8.00592 −0.0630388 −0.0315194 0.999503i \(-0.510035\pi\)
−0.0315194 + 0.999503i \(0.510035\pi\)
\(128\) 53.3112 116.370i 0.416494 0.909139i
\(129\) 294.087i 2.27975i
\(130\) 32.5765 + 9.57131i 0.250588 + 0.0736255i
\(131\) 140.038 + 58.0057i 1.06899 + 0.442791i 0.846635 0.532174i \(-0.178625\pi\)
0.222358 + 0.974965i \(0.428625\pi\)
\(132\) 119.882 186.401i 0.908198 1.41213i
\(133\) −103.084 + 176.342i −0.775071 + 1.32588i
\(134\) −61.9291 + 76.8227i −0.462158 + 0.573304i
\(135\) 22.0333 22.0333i 0.163210 0.163210i
\(136\) −14.8301 17.1325i −0.109045 0.125974i
\(137\) 153.441 + 153.441i 1.12000 + 1.12000i 0.991740 + 0.128265i \(0.0409408\pi\)
0.128265 + 0.991740i \(0.459059\pi\)
\(138\) −27.5091 256.281i −0.199342 1.85711i
\(139\) 73.1241 30.2890i 0.526073 0.217907i −0.103809 0.994597i \(-0.533103\pi\)
0.629882 + 0.776691i \(0.283103\pi\)
\(140\) 9.80394 30.0732i 0.0700282 0.214809i
\(141\) 12.9234 + 5.35303i 0.0916550 + 0.0379648i
\(142\) −101.238 + 55.2580i −0.712945 + 0.389141i
\(143\) −171.144 −1.19681
\(144\) −82.1726 + 219.858i −0.570643 + 1.52679i
\(145\) 0.620990 0.00428269
\(146\) −148.178 + 80.8787i −1.01492 + 0.553964i
\(147\) −187.550 147.158i −1.27585 1.00107i
\(148\) 255.595 + 46.2039i 1.72700 + 0.312189i
\(149\) −61.1532 147.637i −0.410424 0.990851i −0.985024 0.172417i \(-0.944842\pi\)
0.574600 0.818434i \(-0.305158\pi\)
\(150\) 229.521 24.6367i 1.53014 0.164245i
\(151\) 83.9951 + 83.9951i 0.556259 + 0.556259i 0.928240 0.371981i \(-0.121321\pi\)
−0.371981 + 0.928240i \(0.621321\pi\)
\(152\) −221.533 + 73.6082i −1.45745 + 0.484264i
\(153\) 29.3807 + 29.3807i 0.192031 + 0.192031i
\(154\) −4.68188 + 159.368i −0.0304018 + 1.03486i
\(155\) 37.4379 15.5073i 0.241535 0.100047i
\(156\) 285.789 62.0683i 1.83198 0.397873i
\(157\) −16.8081 6.96214i −0.107058 0.0443448i 0.328512 0.944500i \(-0.393453\pi\)
−0.435570 + 0.900155i \(0.643453\pi\)
\(158\) −50.5499 + 172.049i −0.319936 + 1.08892i
\(159\) 154.293i 0.970397i
\(160\) 31.1048 18.4197i 0.194405 0.115123i
\(161\) 112.086 + 147.718i 0.696186 + 0.917504i
\(162\) 1.22295 4.16238i 0.00754908 0.0256937i
\(163\) 57.5378 138.909i 0.352993 0.852200i −0.643255 0.765652i \(-0.722416\pi\)
0.996248 0.0865478i \(-0.0275835\pi\)
\(164\) −115.676 + 25.1227i −0.705342 + 0.153187i
\(165\) 57.8264 23.9525i 0.350463 0.145167i
\(166\) 75.9605 94.2285i 0.457593 0.567642i
\(167\) −32.4664 32.4664i −0.194410 0.194410i 0.603189 0.797599i \(-0.293897\pi\)
−0.797599 + 0.603189i \(0.793897\pi\)
\(168\) −49.9795 267.824i −0.297497 1.59419i
\(169\) −40.1914 40.1914i −0.237819 0.237819i
\(170\) −0.682996 6.36294i −0.00401762 0.0374291i
\(171\) 395.476 163.811i 2.31272 0.957961i
\(172\) −43.0116 + 237.936i −0.250067 + 1.38335i
\(173\) 125.307 302.519i 0.724319 1.74866i 0.0636656 0.997971i \(-0.479721\pi\)
0.660654 0.750691i \(-0.270279\pi\)
\(174\) 4.69495 2.56260i 0.0269825 0.0147276i
\(175\) −132.294 + 100.382i −0.755964 + 0.573612i
\(176\) −124.254 + 133.277i −0.705990 + 0.757257i
\(177\) 302.424i 1.70861i
\(178\) 43.9405 + 80.5035i 0.246857 + 0.452267i
\(179\) −255.194 105.705i −1.42566 0.590529i −0.469386 0.882993i \(-0.655525\pi\)
−0.956276 + 0.292464i \(0.905525\pi\)
\(180\) −54.4626 + 37.7867i −0.302570 + 0.209926i
\(181\) −84.3482 + 34.9382i −0.466012 + 0.193029i −0.603319 0.797500i \(-0.706155\pi\)
0.137307 + 0.990529i \(0.456155\pi\)
\(182\) −153.074 + 144.336i −0.841063 + 0.793057i
\(183\) −182.181 182.181i −0.995526 0.995526i
\(184\) −15.2256 + 211.371i −0.0827477 + 1.14876i
\(185\) 51.8698 + 51.8698i 0.280377 + 0.280377i
\(186\) 219.054 271.735i 1.17771 1.46094i
\(187\) 12.3442 + 29.8015i 0.0660117 + 0.159366i
\(188\) −9.67292 6.22104i −0.0514517 0.0330907i
\(189\) 48.9652 + 186.769i 0.259075 + 0.988195i
\(190\) −63.2547 18.5849i −0.332920 0.0978153i
\(191\) −17.7129 −0.0927376 −0.0463688 0.998924i \(-0.514765\pi\)
−0.0463688 + 0.998924i \(0.514765\pi\)
\(192\) 159.154 267.620i 0.828928 1.39385i
\(193\) 315.395 1.63417 0.817086 0.576515i \(-0.195588\pi\)
0.817086 + 0.576515i \(0.195588\pi\)
\(194\) 16.5445 56.3102i 0.0852811 0.290259i
\(195\) 76.3069 + 31.6074i 0.391318 + 0.162089i
\(196\) 130.218 + 146.490i 0.664377 + 0.747398i
\(197\) −115.495 + 47.8395i −0.586268 + 0.242840i −0.656044 0.754722i \(-0.727772\pi\)
0.0697760 + 0.997563i \(0.477772\pi\)
\(198\) 209.697 260.127i 1.05907 1.31377i
\(199\) −151.538 151.538i −0.761498 0.761498i 0.215095 0.976593i \(-0.430994\pi\)
−0.976593 + 0.215095i \(0.930994\pi\)
\(200\) −189.300 13.6357i −0.946501 0.0681787i
\(201\) −169.731 + 169.731i −0.844433 + 0.844433i
\(202\) −22.1323 206.189i −0.109566 1.02074i
\(203\) −1.94194 + 3.32198i −0.00956619 + 0.0163644i
\(204\) −31.4213 45.2881i −0.154026 0.222000i
\(205\) −30.8860 12.7934i −0.150663 0.0624068i
\(206\) −139.874 256.263i −0.678998 1.24399i
\(207\) 388.594i 1.87726i
\(208\) −240.300 + 8.41924i −1.15529 + 0.0404771i
\(209\) 332.315 1.59002
\(210\) 31.5201 70.1921i 0.150096 0.334248i
\(211\) 40.5373 + 16.7911i 0.192120 + 0.0795787i 0.476669 0.879083i \(-0.341844\pi\)
−0.284549 + 0.958661i \(0.591844\pi\)
\(212\) 22.5660 124.833i 0.106444 0.588835i
\(213\) −259.208 + 107.368i −1.21694 + 0.504073i
\(214\) −28.9729 269.918i −0.135388 1.26130i
\(215\) −48.2860 + 48.2860i −0.224586 + 0.224586i
\(216\) −98.8732 + 197.273i −0.457746 + 0.913301i
\(217\) −34.1184 + 248.767i −0.157228 + 1.14639i
\(218\) 179.610 + 144.789i 0.823898 + 0.664169i
\(219\) −379.392 + 157.149i −1.73238 + 0.717576i
\(220\) −50.2884 + 10.9217i −0.228584 + 0.0496442i
\(221\) −16.2892 + 39.3257i −0.0737069 + 0.177944i
\(222\) 606.206 + 178.110i 2.73066 + 0.802296i
\(223\) 37.7997i 0.169505i −0.996402 0.0847527i \(-0.972990\pi\)
0.996402 0.0847527i \(-0.0270100\pi\)
\(224\) 1.26623 + 223.996i 0.00565282 + 0.999984i
\(225\) 348.017 1.54674
\(226\) −72.6289 + 247.196i −0.321367 + 1.09379i
\(227\) 301.113 + 124.725i 1.32649 + 0.549450i 0.929652 0.368439i \(-0.120108\pi\)
0.396837 + 0.917889i \(0.370108\pi\)
\(228\) −554.926 + 120.520i −2.43389 + 0.528596i
\(229\) −93.8004 226.454i −0.409609 0.988883i −0.985241 0.171174i \(-0.945244\pi\)
0.575632 0.817709i \(1.69524\pi\)
\(230\) −37.5619 + 46.5953i −0.163313 + 0.202588i
\(231\) −52.6991 + 384.245i −0.228135 + 1.66340i
\(232\) −4.17330 + 1.38665i −0.0179884 + 0.00597695i
\(233\) 2.60751 + 2.60751i 0.0111910 + 0.0111910i 0.712680 0.701489i \(-0.247481\pi\)
−0.701489 + 0.712680i \(0.747481\pi\)
\(234\) 438.387 47.0564i 1.87345 0.201096i
\(235\) −1.24297 3.00079i −0.00528922 0.0127693i
\(236\) −44.2308 + 244.680i −0.187419 + 1.03678i
\(237\) −166.931 + 403.007i −0.704351 + 1.70045i
\(238\) 36.1743 + 16.2443i 0.151993 + 0.0682532i
\(239\) 440.423i 1.84277i 0.388648 + 0.921386i \(0.372942\pi\)
−0.388648 + 0.921386i \(0.627058\pi\)
\(240\) 80.0146 36.4759i 0.333394 0.151983i
\(241\) −323.395 −1.34189 −0.670944 0.741508i \(-0.734111\pi\)
−0.670944 + 0.741508i \(0.734111\pi\)
\(242\) 15.2644 8.33164i 0.0630760 0.0344283i
\(243\) −90.9614 + 219.600i −0.374327 + 0.903704i
\(244\) 120.751 + 174.041i 0.494883 + 0.713283i
\(245\) 6.63207 + 54.9554i 0.0270697 + 0.224308i
\(246\) −286.305 + 30.7319i −1.16384 + 0.124926i
\(247\) 310.080 + 310.080i 1.25538 + 1.25538i
\(248\) −216.971 + 187.813i −0.874882 + 0.757311i
\(249\) 208.187 208.187i 0.836093 0.836093i
\(250\) −85.7046 69.0891i −0.342818 0.276356i
\(251\) −121.162 292.510i −0.482716 1.16538i −0.958314 0.285716i \(-0.907768\pi\)
0.475599 0.879662i \(1.65777\pi\)
\(252\) −31.8260 409.512i −0.126294 1.62505i
\(253\) 115.447 278.713i 0.456311 1.10163i
\(254\) 15.3625 + 4.51366i 0.0604822 + 0.0177703i
\(255\) 15.5672i 0.0610478i
\(256\) −167.906 + 193.244i −0.655885 + 0.754861i
\(257\) 99.4686i 0.387037i −0.981097 0.193519i \(-0.938010\pi\)
0.981097 0.193519i \(-0.0619900\pi\)
\(258\) −165.804 + 564.322i −0.642650 + 2.18729i
\(259\) −439.682 + 115.271i −1.69761 + 0.445064i
\(260\) −57.1145 36.7326i −0.219671 0.141279i
\(261\) 7.45009 3.08593i 0.0285444 0.0118235i
\(262\) −236.015 190.259i −0.900820 0.726178i
\(263\) −14.8302 + 14.8302i −0.0563887 + 0.0563887i −0.734739 0.678350i \(-0.762695\pi\)
0.678350 + 0.734739i \(0.262695\pi\)
\(264\) −335.132 + 290.095i −1.26944 + 1.09885i
\(265\) 25.3333 25.3333i 0.0955972 0.0955972i
\(266\) 297.227 280.262i 1.11740 1.05362i
\(267\) 85.3775 + 206.120i 0.319766 + 0.771983i
\(268\) 162.147 112.499i 0.605026 0.419774i
\(269\) −57.9041 + 139.793i −0.215257 + 0.519676i −0.994216 0.107399i \(-0.965748\pi\)
0.778959 + 0.627075i \(0.215748\pi\)
\(270\) −54.7018 + 29.8574i −0.202599 + 0.110583i
\(271\) 178.407 0.658328 0.329164 0.944273i \(-0.393233\pi\)
0.329164 + 0.944273i \(0.393233\pi\)
\(272\) 18.7983 + 41.2364i 0.0691113 + 0.151605i
\(273\) −407.707 + 309.361i −1.49343 + 1.13319i
\(274\) −207.927 380.944i −0.758859 1.39031i
\(275\) 249.610 + 103.392i 0.907673 + 0.375970i
\(276\) −91.7018 + 507.285i −0.332253 + 1.83799i
\(277\) 51.5626 + 124.483i 0.186147 + 0.449397i 0.989212 0.146494i \(-0.0467989\pi\)
−0.803065 + 0.595891i \(0.796799\pi\)
\(278\) −157.394 + 16.8946i −0.566165 + 0.0607720i
\(279\) 372.086 372.086i 1.33364 1.33364i
\(280\) −35.7677 + 52.1799i −0.127742 + 0.186357i
\(281\) 139.673 139.673i 0.497055 0.497055i −0.413465 0.910520i \(-0.635682\pi\)
0.910520 + 0.413465i \(0.135682\pi\)
\(282\) −21.7805 17.5579i −0.0772359 0.0622622i
\(283\) 142.114 + 343.093i 0.502168 + 1.21234i 0.948300 + 0.317375i \(0.102801\pi\)
−0.446132 + 0.894967i \(0.647199\pi\)
\(284\) 225.419 48.9569i 0.793728 0.172383i
\(285\) −148.167 61.3730i −0.519886 0.215344i
\(286\) 328.406 + 96.4893i 1.14827 + 0.337375i
\(287\) 165.023 125.217i 0.574995 0.436296i
\(288\) 281.634 375.555i 0.977896 1.30401i
\(289\) −280.977 −0.972240
\(290\) −1.19161 0.350108i −0.00410901 0.00120727i
\(291\) 54.6351 131.901i 0.187749 0.453267i
\(292\) 329.936 71.6560i 1.12992 0.245397i
\(293\) −202.833 489.683i −0.692264 1.67127i −0.740168 0.672422i \(-0.765254\pi\)
0.0479038 0.998852i \(1.51525\pi\)
\(294\) 276.923 + 388.118i 0.941914 + 1.32013i
\(295\) −49.6547 + 49.6547i −0.168321 + 0.168321i
\(296\) −464.410 232.762i −1.56895 0.786360i
\(297\) 222.120 222.120i 0.747879 0.747879i
\(298\) 34.1100 + 317.776i 0.114463 + 1.06636i
\(299\) 367.786 152.342i 1.23005 0.509504i
\(300\) −454.315 82.1264i −1.51438 0.273755i
\(301\) −107.307 409.303i −0.356502 1.35981i
\(302\) −113.822 208.533i −0.376893 0.690507i
\(303\) 504.451i 1.66485i
\(304\) 466.597 16.3479i 1.53486 0.0537760i
\(305\) 59.8244i 0.196145i
\(306\) −39.8138 72.9429i −0.130110 0.238375i
\(307\) 29.3441 70.8430i 0.0955835 0.230759i −0.868855 0.495067i \(-0.835144\pi\)
0.964438 + 0.264308i \(0.0851435\pi\)
\(308\) 98.8344 303.171i 0.320891 0.984322i
\(309\) −271.778 656.130i −0.879540 2.12340i
\(310\) −80.5821 + 8.64966i −0.259942 + 0.0279021i
\(311\) −290.745 + 290.745i −0.934873 + 0.934873i −0.998005 0.0631324i \(-0.979891\pi\)
0.0631324 + 0.998005i \(0.479891\pi\)
\(312\) −583.392 42.0231i −1.86985 0.134690i
\(313\) −171.163 171.163i −0.546848 0.546848i 0.378680 0.925528i \(-0.376378\pi\)
−0.925528 + 0.378680i \(0.876378\pi\)
\(314\) 28.3277 + 22.8358i 0.0902156 + 0.0727255i
\(315\) 58.5430 100.147i 0.185851 0.317926i
\(316\) 194.000 301.644i 0.613923 0.954571i
\(317\) −107.931 + 260.569i −0.340477 + 0.821985i 0.657190 + 0.753725i \(0.271745\pi\)
−0.997668 + 0.0682601i \(0.978255\pi\)
\(318\) 86.9890 296.072i 0.273550 0.931043i
\(319\) 6.26025 0.0196246
\(320\) −70.0717 + 17.8089i −0.218974 + 0.0556527i
\(321\) 660.366i 2.05721i
\(322\) −131.799 346.648i −0.409313 1.07655i
\(323\) 31.6293 76.3598i 0.0979234 0.236408i
\(324\) −4.69342 + 7.29766i −0.0144859 + 0.0225236i
\(325\) 136.434 + 329.382i 0.419798 + 1.01348i
\(326\) −188.724 + 234.111i −0.578908 + 0.718132i
\(327\) 396.827 + 396.827i 1.21354 + 1.21354i
\(328\) 236.134 + 17.0093i 0.719919 + 0.0518575i
\(329\) 19.9396 + 2.73472i 0.0606067 + 0.00831221i
\(330\) −124.467 + 13.3602i −0.377172 + 0.0404855i
\(331\) 21.0396 + 50.7941i 0.0635638 + 0.153457i 0.952470 0.304633i \(-0.0985339\pi\)
−0.888906 + 0.458090i \(0.848534\pi\)
\(332\) −198.885 + 137.988i −0.599051 + 0.415628i
\(333\) 880.049 + 364.528i 2.64279 + 1.09468i
\(334\) 43.9953 + 80.6038i 0.131722 + 0.241329i
\(335\) 55.7360 0.166376
\(336\) −55.0913 + 542.103i −0.163962 + 1.61340i
\(337\) 32.1675i 0.0954526i 0.998860 + 0.0477263i \(0.0151975\pi\)
−0.998860 + 0.0477263i \(0.984802\pi\)
\(338\) 54.4633 + 99.7824i 0.161134 + 0.295214i
\(339\) −239.843 + 579.031i −0.707500 + 1.70806i
\(340\) −2.27677 + 12.5949i −0.00669638 + 0.0370437i
\(341\) 377.415 156.330i 1.10679 0.458447i
\(342\) −851.230 + 91.3707i −2.48898 + 0.267166i
\(343\) −314.723 136.376i −0.917559 0.397599i
\(344\) 216.680 432.323i 0.629884 1.25675i
\(345\) −102.947 + 102.947i −0.298397 + 0.298397i
\(346\) −411.008 + 509.853i −1.18788 + 1.47356i
\(347\) 221.061 91.5666i 0.637065 0.263881i −0.0406867 0.999172i \(-0.512955\pi\)
0.677751 + 0.735291i \(0.262955\pi\)
\(348\) −10.4539 + 2.27039i −0.0300398 + 0.00652410i
\(349\) 479.801 + 198.740i 1.37479 + 0.569455i 0.943082 0.332559i \(-0.107912\pi\)
0.431705 + 0.902015i \(0.357912\pi\)
\(350\) 310.451 118.037i 0.887004 0.337247i
\(351\) 414.515 1.18096
\(352\) 313.571 185.691i 0.890826 0.527531i
\(353\) 481.713i 1.36463i −0.731060 0.682313i \(-0.760974\pi\)
0.731060 0.682313i \(-0.239026\pi\)
\(354\) −170.504 + 580.318i −0.481649 + 1.63932i
\(355\) 60.1878 + 24.9306i 0.169543 + 0.0702270i
\(356\) −38.9300 179.251i −0.109354 0.503513i
\(357\) 83.2764 + 48.6811i 0.233267 + 0.136362i
\(358\) 430.093 + 346.711i 1.20138 + 0.968467i
\(359\) −408.722 + 408.722i −1.13850 + 1.13850i −0.149783 + 0.988719i \(0.547857\pi\)
−0.988719 + 0.149783i \(0.952143\pi\)
\(360\) 125.811 41.8030i 0.349476 0.116120i
\(361\) −346.825 346.825i −0.960734 0.960734i
\(362\) 181.553 19.4878i 0.501527 0.0538337i
\(363\) 39.0827 16.1886i 0.107666 0.0445966i
\(364\) 375.107 190.664i 1.03051 0.523803i
\(365\) 88.0942 + 36.4898i 0.241354 + 0.0999721i
\(366\) 246.874 + 452.298i 0.674518 + 1.23579i
\(367\) −403.985 −1.10078 −0.550389 0.834909i \(-0.685520\pi\)
−0.550389 + 0.834909i \(0.685520\pi\)
\(368\) 148.385 397.014i 0.403221 1.07884i
\(369\) −434.118 −1.17647
\(370\) −70.2888 128.776i −0.189970 0.348044i
\(371\) 56.2987 + 214.741i 0.151748 + 0.578817i
\(372\) −573.541 + 397.929i −1.54178 + 1.06970i
\(373\) −136.799 330.263i −0.366754 0.885424i −0.994278 0.106826i \(-0.965931\pi\)
0.627523 0.778598i \(-0.284069\pi\)
\(374\) −6.88534 64.1454i −0.0184100 0.171512i
\(375\) −189.354 189.354i −0.504945 0.504945i
\(376\) 15.0539 + 17.3910i 0.0400370 + 0.0462527i
\(377\) 5.84137 + 5.84137i 0.0154944 + 0.0154944i
\(378\) 11.3396 385.995i 0.0299991 1.02115i
\(379\) 417.974 173.130i 1.10283 0.456809i 0.244370 0.969682i \(-0.421419\pi\)
0.858464 + 0.512873i \(0.171419\pi\)
\(380\) 110.901 + 71.3248i 0.291844 + 0.187697i
\(381\) 35.9850 + 14.9055i 0.0944488 + 0.0391220i
\(382\) 33.9891 + 9.98635i 0.0889766 + 0.0261423i
\(383\) 311.639i 0.813680i −0.913499 0.406840i \(-0.866631\pi\)
0.913499 0.406840i \(-0.133369\pi\)
\(384\) −456.281 + 423.803i −1.18823 + 1.10365i
\(385\) 71.7415 54.4362i 0.186341 0.141393i
\(386\) −605.209 177.817i −1.56790 0.460665i
\(387\) −339.342 + 819.244i −0.876852 + 2.11691i
\(388\) −63.4943 + 98.7255i −0.163645 + 0.254447i
\(389\) 69.8329 28.9257i 0.179519 0.0743592i −0.291114 0.956688i \(-0.594026\pi\)
0.470633 + 0.882329i \(0.344026\pi\)
\(390\) −128.605 103.672i −0.329756 0.265826i
\(391\) −53.0549 53.0549i −0.135690 0.135690i
\(392\) −167.284 354.514i −0.426745 0.904372i
\(393\) −521.448 521.448i −1.32684 1.32684i
\(394\) 248.593 26.6839i 0.630948 0.0677258i
\(395\) 93.5778 38.7612i 0.236906 0.0981296i
\(396\) −549.042 + 380.931i −1.38647 + 0.961947i
\(397\) 76.4542 184.577i 0.192580 0.464929i −0.797865 0.602836i \(-0.794037\pi\)
0.990445 + 0.137907i \(0.0440374\pi\)
\(398\) 205.349 + 376.221i 0.515953 + 0.945278i
\(399\) 791.657 600.696i 1.98410 1.50550i
\(400\) 355.559 + 132.891i 0.888896 + 0.332228i
\(401\) 98.8758i 0.246573i 0.992371 + 0.123286i \(0.0393434\pi\)
−0.992371 + 0.123286i \(0.960657\pi\)
\(402\) 421.388 230.002i 1.04823 0.572145i
\(403\) 498.032 + 206.292i 1.23581 + 0.511890i
\(404\) −73.7781 + 408.133i −0.182619 + 1.01023i
\(405\) −2.26392 + 0.937746i −0.00558992 + 0.00231542i
\(406\) 5.59926 5.27966i 0.0137913 0.0130041i
\(407\) 522.904 + 522.904i 1.28478 + 1.28478i
\(408\) 34.7611 + 104.618i 0.0851988 + 0.256416i
\(409\) 273.389 + 273.389i 0.668432 + 0.668432i 0.957353 0.288921i \(-0.0932965\pi\)
−0.288921 + 0.957353i \(0.593297\pi\)
\(410\) 52.0540 + 41.9623i 0.126961 + 0.102347i
\(411\) −404.008 975.361i −0.982988 2.37314i
\(412\) 123.924 + 570.600i 0.300786 + 1.38495i
\(413\) −110.349 420.906i −0.267188 1.01914i
\(414\) −219.085 + 745.668i −0.529191 + 1.80113i
\(415\) −68.3642 −0.164733
\(416\) 465.856 + 119.323i 1.11984 + 0.286834i
\(417\) −385.070 −0.923430
\(418\) −637.676 187.356i −1.52554 0.448220i
\(419\) 599.714 + 248.410i 1.43130 + 0.592863i 0.957672 0.287863i \(-0.0929447\pi\)
0.473626 + 0.880726i \(0.342945\pi\)
\(420\) −100.057 + 116.920i −0.238232 + 0.278381i
\(421\) −313.459 + 129.839i −0.744557 + 0.308406i −0.722519 0.691351i \(-0.757016\pi\)
−0.0220386 + 0.999757i \(0.507016\pi\)
\(422\) −68.3200 55.0748i −0.161896 0.130509i
\(423\) −29.8240 29.8240i −0.0705060 0.0705060i
\(424\) −113.681 + 226.818i −0.268117 + 0.534949i
\(425\) 47.5150 47.5150i 0.111800 0.111800i
\(426\) 557.925 59.8875i 1.30968 0.140581i
\(427\) −320.030 187.081i −0.749484 0.438128i
\(428\) −96.5814 + 534.278i −0.225657 + 1.24831i
\(429\) 769.257 + 318.637i 1.79314 + 0.742743i
\(430\) 119.879 65.4323i 0.278788 0.152168i
\(431\) 276.473i 0.641468i −0.947169 0.320734i \(-0.896070\pi\)
0.947169 0.320734i \(-0.103930\pi\)
\(432\) 300.947 322.801i 0.696638 0.747225i
\(433\) −47.4776 −0.109648 −0.0548240 0.998496i \(-0.517460\pi\)
−0.0548240 + 0.998496i \(0.517460\pi\)
\(434\) 205.722 458.122i 0.474014 1.05558i
\(435\) −2.79122 1.15616i −0.00641661 0.00265784i
\(436\) −263.021 379.096i −0.603259 0.869487i
\(437\) −714.140 + 295.806i −1.63419 + 0.676903i
\(438\) 816.610 87.6547i 1.86441 0.200125i
\(439\) 475.753 475.753i 1.08372 1.08372i 0.0875602 0.996159i \(-0.472093\pi\)
0.996159 0.0875602i \(-0.0279070\pi\)
\(440\) 102.656 + 7.39452i 0.233308 + 0.0168057i
\(441\) 352.660 + 626.350i 0.799682 + 1.42029i
\(442\) 53.4287 66.2779i 0.120879 0.149950i
\(443\) −474.354 + 196.484i −1.07078 + 0.443530i −0.847265 0.531171i \(-0.821752\pi\)
−0.223512 + 0.974701i \(0.571752\pi\)
\(444\) −1062.83 683.546i −2.39375 1.53952i
\(445\) 19.8245 47.8607i 0.0445495 0.107552i
\(446\) −21.3111 + 72.5335i −0.0477827 + 0.162631i
\(447\) 777.453i 1.73927i
\(448\) 123.857 430.538i 0.276467 0.961023i
\(449\) 614.837 1.36935 0.684674 0.728850i \(-0.259945\pi\)
0.684674 + 0.728850i \(0.259945\pi\)
\(450\) −667.807 196.209i −1.48402 0.436019i
\(451\) −311.364 128.971i −0.690386 0.285967i
\(452\) 278.734 433.395i 0.616668 0.958839i
\(453\) −221.158 533.924i −0.488208 1.17864i
\(454\) −507.484 409.098i −1.11781 0.901098i
\(455\) 117.735 + 16.1473i 0.258758 + 0.0354887i
\(456\) 1132.79 + 81.5976i 2.48419 + 0.178942i
\(457\) 103.149 + 103.149i 0.225710 + 0.225710i 0.810898 0.585188i \(-0.198979\pi\)
−0.585188 + 0.810898i \(0.698979\pi\)
\(458\) 52.3200 + 487.425i 0.114236 + 1.06425i
\(459\) −29.8980 72.1801i −0.0651372 0.157255i
\(460\) 98.3471 68.2343i 0.213798 0.148335i
\(461\) 18.1284 43.7659i 0.0393242 0.0949370i −0.902997 0.429646i \(-0.858638\pi\)
0.942321 + 0.334709i \(0.108638\pi\)
\(462\) 317.757 707.612i 0.687786 1.53163i
\(463\) 51.0602i 0.110281i 0.998479 + 0.0551406i \(0.0175607\pi\)
−0.998479 + 0.0551406i \(0.982439\pi\)
\(464\) 8.78990 0.307967i 0.0189437 0.000663721i
\(465\) −197.147 −0.423973
\(466\) −3.53343 6.47360i −0.00758247 0.0138919i
\(467\) −251.810 + 607.923i −0.539208 + 1.30176i 0.386069 + 0.922470i \(0.373833\pi\)
−0.925277 + 0.379293i \(0.876167\pi\)
\(468\) −867.747 156.862i −1.85416 0.335176i
\(469\) −174.295 + 298.159i −0.371632 + 0.635733i
\(470\) 0.693302 + 6.45895i 0.00147511 + 0.0137425i
\(471\) 62.5868 + 62.5868i 0.132881 + 0.132881i
\(472\) 222.822 444.578i 0.472081 0.941902i
\(473\) −486.775 + 486.775i −1.02912 + 1.02912i
\(474\) 547.534 679.213i 1.15514 1.43294i
\(475\) −264.919 639.571i −0.557724 1.34646i
\(476\) −60.2561 51.5657i −0.126589 0.108331i
\(477\) 178.036 429.817i 0.373241 0.901083i
\(478\) 248.306 845.123i 0.519469 1.76804i
\(479\) 729.759i 1.52351i −0.647868 0.761753i \(-0.724339\pi\)
0.647868 0.761753i \(-0.275661\pi\)
\(480\) −174.104 + 24.8818i −0.362717 + 0.0518371i
\(481\) 975.832i 2.02876i
\(482\) 620.560 + 182.327i 1.28747 + 0.378272i
\(483\) −228.781 872.645i −0.473667 1.80672i
\(484\) −33.9880 + 7.38158i −0.0702232 + 0.0152512i
\(485\) −30.6272 + 12.6862i −0.0631488 + 0.0261571i
\(486\) 298.353 370.106i 0.613896 0.761534i
\(487\) 191.046 191.046i 0.392292 0.392292i −0.483211 0.875504i \(-0.660530\pi\)
0.875504 + 0.483211i \(0.160530\pi\)
\(488\) −133.586 402.044i −0.273742 0.823861i
\(489\) −517.242 + 517.242i −1.05775 + 1.05775i
\(490\) 18.2571 109.193i 0.0372595 0.222842i
\(491\) 6.44908 + 15.5695i 0.0131346 + 0.0317097i 0.930311 0.366772i \(-0.119537\pi\)
−0.917176 + 0.398482i \(0.869537\pi\)
\(492\) 566.714 + 102.445i 1.15186 + 0.208221i
\(493\) 0.595842 1.43849i 0.00120860 0.00291783i
\(494\) −420.189 769.828i −0.850585 1.55836i
\(495\) −188.726 −0.381265
\(496\) 522.230 238.067i 1.05288 0.479974i
\(497\) −321.583 + 244.011i −0.647048 + 0.490969i
\(498\) −516.862 + 282.114i −1.03788 + 0.566495i
\(499\) −886.517 367.207i −1.77659 0.735887i −0.993481 0.113999i \(-0.963634\pi\)
−0.783106 0.621888i \(-0.786366\pi\)
\(500\) 125.506 + 180.894i 0.251012 + 0.361788i
\(501\) 85.4839 + 206.376i 0.170626 + 0.411929i
\(502\) 67.5816 + 629.605i 0.134625 + 1.25419i
\(503\) 387.368 387.368i 0.770115 0.770115i −0.208012 0.978126i \(-0.566699\pi\)
0.978126 + 0.208012i \(0.0666992\pi\)
\(504\) −169.808 + 803.751i −0.336921 + 1.59474i
\(505\) −82.8254 + 82.8254i −0.164011 + 0.164011i
\(506\) −378.665 + 469.731i −0.748349 + 0.928323i
\(507\) 105.824 + 255.481i 0.208725 + 0.503907i
\(508\) −26.9342 17.3224i −0.0530200 0.0340993i
\(509\) 606.452 + 251.201i 1.19146 + 0.493518i 0.888230 0.459400i \(-0.151935\pi\)
0.303229 + 0.952918i \(0.401935\pi\)
\(510\) −8.77663 + 29.8717i −0.0172091 + 0.0585720i
\(511\) −470.687 + 357.149i −0.921109 + 0.698922i
\(512\) 431.143 276.151i 0.842077 0.539357i
\(513\) −804.877 −1.56896
\(514\) −56.0794 + 190.869i −0.109104 + 0.371341i
\(515\) −63.1064 + 152.352i −0.122537 + 0.295830i
\(516\) 636.318 989.393i 1.23317 1.91743i
\(517\) −12.5305 30.2512i −0.0242369 0.0585129i
\(518\) 908.691 + 26.6952i 1.75423 + 0.0515352i
\(519\) −1126.46 + 1126.46i −2.17045 + 2.17045i
\(520\) 88.8870 + 102.686i 0.170936 + 0.197474i
\(521\) 611.974 611.974i 1.17461 1.17461i 0.193517 0.981097i \(-0.438011\pi\)
0.981097 0.193517i \(-0.0619894\pi\)
\(522\) −16.0357 + 1.72127i −0.0307198 + 0.00329745i
\(523\) −609.300 + 252.380i −1.16501 + 0.482563i −0.879540 0.475825i \(-0.842149\pi\)
−0.285469 + 0.958388i \(0.592149\pi\)
\(524\) 345.620 + 498.148i 0.659581 + 0.950665i
\(525\) 781.525 204.892i 1.48862 0.390271i
\(526\) 36.8187 20.0964i 0.0699975 0.0382062i
\(527\) 101.602i 0.192794i
\(528\) 806.634 367.717i 1.52772 0.696433i
\(529\) 172.713i 0.326489i
\(530\) −62.8944 + 34.3291i −0.118669 + 0.0647719i
\(531\) −348.961 + 842.466i −0.657177 + 1.58657i
\(532\) −728.356 + 370.218i −1.36909 + 0.695899i
\(533\) −170.189 410.872i −0.319303 0.770867i
\(534\) −47.6219 443.656i −0.0891796 0.830816i
\(535\) −108.425 + 108.425i −0.202663 + 0.202663i
\(536\) −374.568 + 124.457i −0.698822 + 0.232196i
\(537\) 950.242 + 950.242i 1.76954 + 1.76954i
\(538\) 189.925 235.601i 0.353021 0.437921i
\(539\) 66.8584 + 554.011i 0.124042 + 1.02785i
\(540\) 121.800 26.4527i 0.225556 0.0489866i
\(541\) −151.319 + 365.317i −0.279703 + 0.675263i −0.999827 0.0185821i \(-0.994085\pi\)
0.720124 + 0.693845i \(0.244085\pi\)
\(542\) −342.343 100.584i −0.631630 0.185579i
\(543\) 444.176 0.818004
\(544\) −12.8231 89.7265i −0.0235719 0.164938i
\(545\) 130.310i 0.239100i
\(546\) 956.761 363.769i 1.75231 0.666244i
\(547\) 179.196 432.617i 0.327598 0.790891i −0.671172 0.741302i \(-0.734209\pi\)
0.998770 0.0495891i \(-0.0157912\pi\)
\(548\) 184.217 + 848.218i 0.336163 + 1.54784i
\(549\) 297.289 + 717.720i 0.541511 + 1.30732i
\(550\) −420.683 339.125i −0.764878 0.616591i
\(551\) −11.3424 11.3424i −0.0205851 0.0205851i
\(552\) 461.968 921.724i 0.836899 1.66979i
\(553\) −85.2805 + 621.805i −0.154214 + 1.12442i
\(554\) −28.7606 267.940i −0.0519144 0.483646i
\(555\) −136.573 329.716i −0.246077 0.594083i
\(556\) 311.547 + 56.3182i 0.560336 + 0.101292i
\(557\) 99.1912 + 41.0863i 0.178081 + 0.0737636i 0.469943 0.882697i \(-0.344275\pi\)
−0.291861 + 0.956461i \(0.594275\pi\)
\(558\) −923.770 + 504.213i −1.65550 + 0.903608i
\(559\) −908.409 −1.62506
\(560\) 98.0528 79.9620i 0.175094 0.142789i
\(561\) 156.934i 0.279740i
\(562\) −346.762 + 189.270i −0.617015 + 0.336780i
\(563\) 271.295 654.963i 0.481873 1.16334i −0.476845 0.878987i \(-0.658220\pi\)
0.958718 0.284358i \(-0.0917803\pi\)
\(564\) 31.8954 + 45.9714i 0.0565522 + 0.0815096i
\(565\) 134.450 55.6911i 0.237965 0.0985683i
\(566\) −79.2682 738.480i −0.140050 1.30473i
\(567\) 2.06319 15.0433i 0.00363877 0.0265314i
\(568\) −460.156 33.1461i −0.810133 0.0583558i
\(569\) −82.1858 + 82.1858i −0.144439 + 0.144439i −0.775629 0.631190i \(-0.782567\pi\)
0.631190 + 0.775629i \(0.282567\pi\)
\(570\) 249.716 + 201.303i 0.438098 + 0.353164i
\(571\) 183.405 75.9688i 0.321199 0.133045i −0.216258 0.976336i \(-0.569385\pi\)
0.537457 + 0.843291i \(0.319385\pi\)
\(572\) −575.776 370.305i −1.00660 0.647386i
\(573\) 79.6158 + 32.9779i 0.138945 + 0.0575531i
\(574\) −387.258 + 147.239i −0.674666 + 0.256514i
\(575\) −628.441 −1.09294
\(576\) −752.159 + 561.867i −1.30583 + 0.975464i
\(577\) 988.829i 1.71374i 0.515531 + 0.856871i \(0.327595\pi\)
−0.515531 + 0.856871i \(0.672405\pi\)
\(578\) 539.165 + 158.412i 0.932811 + 0.274070i
\(579\) −1417.64 587.205i −2.44842 1.01417i
\(580\) 2.08918 + 1.34364i 0.00360204 + 0.00231662i
\(581\) 213.786 365.713i 0.367962 0.629455i
\(582\) −179.203 + 222.300i −0.307909 + 0.381959i
\(583\) 255.387 255.387i 0.438056 0.438056i
\(584\) −673.510 48.5145i −1.15327 0.0830728i
\(585\) −176.098 176.098i −0.301023 0.301023i
\(586\) 113.136 + 1054.00i 0.193066 + 1.79864i
\(587\) −446.432 + 184.918i −0.760532 + 0.315023i −0.729031 0.684481i \(-0.760029\pi\)
−0.0315013 + 0.999504i \(0.510029\pi\)
\(588\) −312.567 900.883i −0.531576 1.53211i
\(589\) −967.043 400.562i −1.64184 0.680072i
\(590\) 123.277 67.2871i 0.208944 0.114046i
\(591\) 608.194 1.02909
\(592\) 759.923 + 708.476i 1.28365 + 1.19675i
\(593\) 336.542 0.567524 0.283762 0.958895i \(-0.408417\pi\)
0.283762 + 0.958895i \(0.408417\pi\)
\(594\) −551.453 + 300.995i −0.928373 + 0.506726i
\(595\) −5.68018 21.6660i −0.00954651 0.0364135i
\(596\) 113.706 629.009i 0.190782 1.05538i
\(597\) 398.998 + 963.267i 0.668339 + 1.61351i
\(598\) −791.629 + 84.9732i −1.32379 + 0.142096i
\(599\) −372.989 372.989i −0.622685 0.622685i 0.323532 0.946217i \(-0.395130\pi\)
−0.946217 + 0.323532i \(0.895130\pi\)
\(600\) 825.479 + 413.730i 1.37580 + 0.689550i
\(601\) −296.333 296.333i −0.493067 0.493067i 0.416204 0.909271i \(-0.363360\pi\)
−0.909271 + 0.416204i \(0.863360\pi\)
\(602\) −24.8508 + 845.907i −0.0412804 + 1.40516i
\(603\) 668.671 276.973i 1.10891 0.459324i
\(604\) 100.843 + 464.324i 0.166958 + 0.768748i
\(605\) −9.07494 3.75896i −0.0149999 0.00621316i
\(606\) −284.404 + 967.986i −0.469314 + 1.59734i
\(607\) 780.189i 1.28532i 0.766152 + 0.642660i \(0.222169\pi\)
−0.766152 + 0.642660i \(0.777831\pi\)
\(608\) −904.565 231.693i −1.48777 0.381074i
\(609\) 14.9135 11.3161i 0.0244885 0.0185814i
\(610\) 33.7284 114.796i 0.0552925 0.188191i
\(611\) 16.5350 39.9191i 0.0270622 0.0653340i
\(612\) 35.2738 + 162.416i 0.0576369 + 0.265386i
\(613\) −294.471 + 121.974i −0.480378 + 0.198979i −0.609713 0.792622i \(-0.708715\pi\)
0.129336 + 0.991601i \(0.458715\pi\)
\(614\) −96.2488 + 119.396i −0.156757 + 0.194456i
\(615\) 115.007 + 115.007i 0.187004 + 0.187004i
\(616\) −360.577 + 526.030i −0.585353 + 0.853945i
\(617\) 530.601 + 530.601i 0.859969 + 0.859969i 0.991334 0.131365i \(-0.0419359\pi\)
−0.131365 + 0.991334i \(0.541936\pi\)
\(618\) 151.592 + 1412.27i 0.245295 + 2.28522i
\(619\) 500.936 207.494i 0.809266 0.335209i 0.0606051 0.998162i \(-0.480697\pi\)
0.748661 + 0.662953i \(0.230697\pi\)
\(620\) 159.505 + 28.8337i 0.257266 + 0.0465059i
\(621\) −279.615 + 675.050i −0.450266 + 1.08704i
\(622\) 721.828 393.989i 1.16050 0.633423i
\(623\) 194.035 + 255.719i 0.311453 + 0.410464i
\(624\) 1095.77 + 409.549i 1.75605 + 0.656328i
\(625\) 530.916i 0.849465i
\(626\) 231.944 + 424.944i 0.370517 + 0.678825i
\(627\) −1493.69 618.706i −2.38228 0.986772i
\(628\) −41.4831 59.7903i −0.0660559 0.0952075i
\(629\) 169.923 70.3844i 0.270148 0.111899i
\(630\) −168.799 + 159.165i −0.267935 + 0.252642i
\(631\) 350.392 + 350.392i 0.555296 + 0.555296i 0.927965 0.372669i \(-0.121557\pi\)
−0.372669 + 0.927965i \(0.621557\pi\)
\(632\) −542.328 + 469.448i −0.858114 + 0.742797i
\(633\) −150.945 150.945i −0.238460 0.238460i
\(634\) 354.015 439.153i 0.558383 0.692671i
\(635\) −3.46103 8.35567i −0.00545044 0.0131585i
\(636\) −333.845 + 519.086i −0.524913 + 0.816172i
\(637\) −454.556 + 579.326i −0.713589 + 0.909460i
\(638\) −12.0127 3.52947i −0.0188287 0.00553208i
\(639\) 845.969 1.32389
\(640\) 144.500 + 5.33247i 0.225782 + 0.00833199i
\(641\) 605.808 0.945099 0.472550 0.881304i \(-0.343334\pi\)
0.472550 + 0.881304i \(0.343334\pi\)
\(642\) −372.308 + 1267.17i −0.579919 + 1.97378i
\(643\) 640.693 + 265.384i 0.996412 + 0.412727i 0.820480 0.571675i \(-0.193706\pi\)
0.175932 + 0.984402i \(0.443706\pi\)
\(644\) 57.4706 + 739.486i 0.0892401 + 1.14827i
\(645\) 306.935 127.137i 0.475868 0.197111i
\(646\) −103.744 + 128.694i −0.160594 + 0.199216i
\(647\) 51.8672 + 51.8672i 0.0801656 + 0.0801656i 0.746053 0.665887i \(-0.231947\pi\)
−0.665887 + 0.746053i \(0.731947\pi\)
\(648\) 13.1205 11.3573i 0.0202477 0.0175267i
\(649\) −500.574 + 500.574i −0.771300 + 0.771300i
\(650\) −76.1005 708.968i −0.117078 1.09072i
\(651\) 616.512 1054.64i 0.947023 1.62003i
\(652\) 494.130 342.833i 0.757869 0.525817i
\(653\) −838.149 347.173i −1.28354 0.531658i −0.366483 0.930425i \(-0.619438\pi\)
−0.917052 + 0.398767i \(0.869438\pi\)
\(654\) −537.741 985.196i −0.822234 1.50642i
\(655\) 171.232i 0.261423i
\(656\) −443.525 165.769i −0.676105 0.252696i
\(657\) 1238.21 1.88464
\(658\) −36.7201 16.4894i −0.0558057 0.0250599i
\(659\) 335.066 + 138.789i 0.508447 + 0.210606i 0.622134 0.782911i \(-0.286266\pi\)
−0.113687 + 0.993517i \(0.536266\pi\)
\(660\) 246.370 + 44.5363i 0.373288 + 0.0674793i
\(661\) 213.596 88.4744i 0.323141 0.133849i −0.215216 0.976567i \(-0.569045\pi\)
0.538356 + 0.842717i \(0.319045\pi\)
\(662\) −11.7355 109.330i −0.0177273 0.165151i
\(663\) 146.434 146.434i 0.220865 0.220865i
\(664\) 459.435 152.655i 0.691920 0.229903i
\(665\) −228.609 31.3538i −0.343774 0.0471485i
\(666\) −1483.20 1195.65i −2.22703 1.79527i
\(667\) −13.4532 + 5.57249i −0.0201697 + 0.00835456i
\(668\) −38.9785 179.474i −0.0583510 0.268674i
\(669\) −70.3757 + 169.902i −0.105195 + 0.253964i
\(670\) −106.951 31.4234i −0.159629 0.0469006i
\(671\) 603.095i 0.898800i
\(672\) 411.346 1009.18i 0.612123 1.50175i
\(673\) −756.345 −1.12384 −0.561921 0.827191i \(-0.689937\pi\)
−0.561921 + 0.827191i \(0.689937\pi\)
\(674\) 18.1357 61.7259i 0.0269076 0.0915815i
\(675\) −604.563 250.418i −0.895648 0.370990i
\(676\) −48.2529 222.177i −0.0713800 0.328665i
\(677\) 241.253 + 582.435i 0.356355 + 0.860318i 0.995806 + 0.0914859i \(0.0291617\pi\)
−0.639451 + 0.768832i \(0.720838\pi\)
\(678\) 786.684 975.877i 1.16030 1.43935i
\(679\) 27.9116 203.511i 0.0411069 0.299722i
\(680\) 11.4697 22.8845i 0.0168672 0.0336537i
\(681\) −1121.23 1121.23i −1.64644 1.64644i
\(682\) −812.356 + 87.1980i −1.19114 + 0.127856i
\(683\) 49.3785 + 119.210i 0.0722964 + 0.174539i 0.955897 0.293703i \(-0.0948876\pi\)
−0.883600 + 0.468242i \(0.844888\pi\)
\(684\) 1684.93 + 304.585i 2.46335 + 0.445299i
\(685\) −93.8101 + 226.478i −0.136949 + 0.330624i
\(686\) 527.031 + 439.129i 0.768267 + 0.640130i
\(687\) 1192.50i 1.73581i
\(688\) −659.525 + 707.418i −0.958612 + 1.02822i
\(689\) 476.597 0.691723
\(690\) 255.585 139.503i 0.370412 0.202179i
\(691\) 395.554 954.952i 0.572437 1.38198i −0.327038 0.945011i \(-0.606050\pi\)
0.899474 0.436973i \(-0.143950\pi\)
\(692\) 1076.13 746.630i 1.55510 1.07894i
\(693\) 590.177 1009.59i 0.851627 1.45684i
\(694\) −475.817 + 51.0741i −0.685615 + 0.0735938i
\(695\) 63.2244 + 63.2244i 0.0909704 + 0.0909704i
\(696\) 21.3398 + 1.53716i 0.0306607 + 0.00220856i
\(697\) −59.2704 + 59.2704i −0.0850364 + 0.0850364i
\(698\) −808.637 651.867i −1.15851 0.933907i
\(699\) −6.86554 16.5749i −0.00982194 0.0237123i
\(700\) −662.270 + 51.4696i −0.946100 + 0.0735280i
\(701\) −106.143 + 256.252i −0.151416 + 0.365552i −0.981328 0.192344i \(-0.938391\pi\)
0.829911 + 0.557896i \(0.188391\pi\)
\(702\) −795.410 233.700i −1.13306 0.332906i
\(703\) 1894.80i 2.69531i
\(704\) −706.399 + 179.533i −1.00341 + 0.255018i
\(705\) 15.8021i 0.0224143i
\(706\) −271.585 + 924.354i −0.384681 + 1.30928i
\(707\) −184.065 702.081i −0.260346 0.993043i
\(708\) 654.356 1017.44i 0.924231 1.43706i
\(709\) 494.664 204.896i 0.697692 0.288994i −0.00550856 0.999985i \(-0.501753\pi\)
0.703201 + 0.710991i \(0.251753\pi\)
\(710\) −101.438 81.7723i −0.142871 0.115172i
\(711\) 930.045 930.045i 1.30808 1.30808i
\(712\) −26.3574 + 365.911i −0.0370189 + 0.513920i
\(713\) −671.903 + 671.903i −0.942361 + 0.942361i
\(714\) −132.352 140.364i −0.185368 0.196588i
\(715\) −73.9870 178.620i −0.103478 0.249819i
\(716\) −629.829 907.783i −0.879650 1.26785i
\(717\) 819.982 1979.61i 1.14363 2.76096i
\(718\) 1014.73 553.859i 1.41327 0.771392i
\(719\) −319.042 −0.443730 −0.221865 0.975077i \(-0.571214\pi\)
−0.221865 + 0.975077i \(0.571214\pi\)
\(720\) −264.987 + 9.28418i −0.368037 + 0.0128947i
\(721\) −617.663 814.018i −0.856675 1.12901i
\(722\) 469.983 + 861.056i 0.650945 + 1.19260i
\(723\) 1453.59 + 602.099i 2.01050 + 0.832778i
\(724\) −359.367 64.9627i −0.496363 0.0897274i
\(725\) −4.99062 12.0484i −0.00688362 0.0166185i
\(726\) −84.1223 + 9.02966i −0.115871 + 0.0124376i
\(727\) 215.811 215.811i 0.296852 0.296852i −0.542927 0.839780i \(-0.682684\pi\)
0.839780 + 0.542927i \(0.182684\pi\)
\(728\) −827.283 + 154.382i −1.13638 + 0.212063i
\(729\) 831.510 831.510i 1.14062 1.14062i
\(730\) −148.471 119.687i −0.203384 0.163954i
\(731\) 65.5213 + 158.182i 0.0896324 + 0.216392i
\(732\) −218.723 1007.09i −0.298801 1.37581i
\(733\) 255.220 + 105.715i 0.348185 + 0.144223i 0.549920 0.835217i \(-0.314658\pi\)
−0.201735 + 0.979440i \(0.564658\pi\)
\(734\) 775.203 + 227.763i 1.05614 + 0.310304i
\(735\) 72.5066 259.361i 0.0986484 0.352872i
\(736\) −508.568 + 678.168i −0.690989 + 0.921425i
\(737\) 561.879 0.762387
\(738\) 833.024 + 244.751i 1.12876 + 0.331641i
\(739\) 470.719 1136.42i 0.636967 1.53778i −0.193732 0.981054i \(-0.562059\pi\)
0.830700 0.556721i \(-0.187941\pi\)
\(740\) 62.2737 + 286.736i 0.0841537 + 0.387481i
\(741\) −816.437 1971.05i −1.10180 2.65999i
\(742\) 13.0380 443.805i 0.0175714 0.598121i
\(743\) 619.184 619.184i 0.833357 0.833357i −0.154617 0.987974i \(-0.549415\pi\)
0.987974 + 0.154617i \(0.0494145\pi\)
\(744\) 1324.91 440.225i 1.78079 0.591700i
\(745\) 127.649 127.649i 0.171341 0.171341i
\(746\) 76.3040 + 710.865i 0.102284 + 0.952902i
\(747\) −820.173 + 339.727i −1.09796 + 0.454788i
\(748\) −22.9523 + 126.970i −0.0306849 + 0.169746i
\(749\) −240.955 919.080i −0.321702 1.22708i
\(750\) 256.594 + 470.107i 0.342126 + 0.626809i
\(751\) 831.370i 1.10702i 0.832843 + 0.553509i \(0.186711\pi\)
−0.832843 + 0.553509i \(0.813289\pi\)
\(752\) −19.0819 41.8587i −0.0253749 0.0556631i
\(753\) 1540.35i 2.04562i
\(754\) −7.91564 14.5023i −0.0104982 0.0192338i
\(755\) −51.3527 + 123.976i −0.0680168 + 0.164207i
\(756\) −239.380 + 734.289i −0.316640 + 0.971282i
\(757\) 170.496 + 411.613i 0.225225 + 0.543742i 0.995585 0.0938680i \(-0.0299232\pi\)
−0.770359 + 0.637610i \(0.779923\pi\)