Properties

Label 224.3.v.b.69.3
Level 224
Weight 3
Character 224.69
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 69.3
Character \(\chi\) \(=\) 224.69
Dual form 224.3.v.b.13.3

$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).

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

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 −0.973097 0.230396i \(-0.925998\pi\)
−0.525169 + 0.850998i \(0.675998\pi\)
\(4\) 3.36428 2.16370i 0.841070 0.540926i
\(5\) 0.432309 1.04369i 0.0864617 0.208737i −0.874735 0.484602i \(-0.838964\pi\)
0.961196 + 0.275865i \(0.0889643\pi\)
\(6\) 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 −0.592365 0.805670i \(-0.701806\pi\)
0.988560 0.150829i \(-0.0481943\pi\)
\(12\) −11.0934 + 15.9890i −0.924447 + 1.33242i
\(13\) −5.75095 13.8840i −0.442380 1.06800i −0.975111 0.221716i \(-0.928834\pi\)
0.532731 0.846285i \(1.67883\pi\)
\(14\) 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 0.885672 + 0.464312i \(0.153698\pi\)
−0.297946 + 0.954583i \(0.596302\pi\)
\(20\) −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 −0.985290 0.170892i \(-0.945335\pi\)
0.170892 + 0.985290i \(0.445335\pi\)
\(24\) 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 0.927465 0.373910i \(-0.121983\pi\)
−0.920211 + 0.391422i \(0.871983\pi\)
\(30\) −3.09861 10.5463i −0.103287 0.351543i
\(31\) 35.8709i 1.15713i 0.815638 + 0.578563i \(0.196386\pi\)
−0.815638 + 0.578563i \(0.803614\pi\)
\(32\) −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 0.994229 0.107281i \(-0.0342143\pi\)
0.627167 + 0.778885i \(0.284214\pi\)
\(38\) −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 0.404264 0.914642i \(-0.367528\pi\)
−0.914642 + 0.404264i \(0.867528\pi\)
\(42\) −46.7273 + 49.5559i −1.11255 + 1.17990i
\(43\) 23.1324 55.8466i 0.537964 1.29876i −0.388178 0.921584i \(-0.626896\pi\)
0.926142 0.377175i \(-0.123104\pi\)
\(44\) −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 −0.996055 0.0887393i \(-0.971716\pi\)
0.767065 + 0.641569i \(0.221716\pi\)
\(54\) 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 −0.583698 0.811971i \(-0.698395\pi\)
0.986887 0.161414i \(-0.0516054\pi\)
\(60\) 11.8918 + 18.4902i 0.198196 + 0.308170i
\(61\) 48.9259 20.2658i 0.802065 0.332226i 0.0562815 0.998415i \(-0.482076\pi\)
0.745783 + 0.666189i \(0.232076\pi\)
\(62\) −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 0.999878 0.0156328i \(-0.00497628\pi\)
−0.718074 + 0.695966i \(0.754976\pi\)
\(68\) 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 0.933337 0.359002i \(-0.116883\pi\)
−0.359002 + 0.933337i \(0.616883\pi\)
\(72\) 8.43160 + 117.053i 0.117106 + 1.62573i
\(73\) 59.6846 + 59.6846i 0.817598 + 0.817598i 0.985759 0.168162i \(-0.0537830\pi\)
−0.168162 + 0.985759i \(0.553783\pi\)
\(74\) −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 \(0.192079\pi\)
−0.823391 + 0.567474i \(0.807921\pi\)
\(80\) −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 0.720789 0.693155i \(-0.243780\pi\)
−0.999809 + 0.0195402i \(0.993780\pi\)
\(84\) 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 −0.865407 0.501069i \(-0.832940\pi\)
0.501069 + 0.865407i \(0.332940\pi\)
\(90\) 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 \(-0.951666\pi\)
0.988493 0.151264i \(-0.0483343\pi\)
\(98\) −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 −0.596449 0.802651i \(-0.703422\pi\)
0.989313 0.145807i \(-0.0465778\pi\)
\(102\) 21.4568 17.2969i 0.210360 0.169578i
\(103\) 103.220 103.220i 1.00214 1.00214i 0.00213996 0.999998i \(-0.499319\pi\)
0.999998 0.00213996i \(-0.000681172\pi\)
\(104\) 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 −0.471534 0.881848i \(-0.656300\pi\)
0.956986 0.290136i \(-0.0937004\pi\)
\(108\) 19.6266 + 108.572i 0.181728 + 1.00530i
\(109\) −106.571 + 44.1430i −0.977711 + 0.404981i −0.813577 0.581457i \(-0.802483\pi\)
−0.164134 + 0.986438i \(0.552483\pi\)
\(110\) 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 \(0.193061\pi\)
−0.821637 + 0.570011i \(0.806939\pi\)
\(114\) 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 0.222358 0.974965i \(-0.428625\pi\)
0.846635 + 0.532174i \(0.178625\pi\)
\(132\) 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 0.128265 0.991740i \(-0.459059\pi\)
0.991740 0.128265i \(-0.0409408\pi\)
\(138\) −27.5091 + 256.281i −0.199342 + 1.85711i
\(139\) 73.1241 + 30.2890i 0.526073 + 0.217907i 0.629882 0.776691i \(-0.283103\pi\)
−0.103809 + 0.994597i \(0.533103\pi\)
\(140\) 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 0.574600 + 0.818434i \(0.305158\pi\)
−0.985024 + 0.172417i \(0.944842\pi\)
\(150\) 229.521 + 24.6367i 1.53014 + 0.164245i
\(151\) 83.9951 83.9951i 0.556259 0.556259i −0.371981 0.928240i \(-0.621321\pi\)
0.928240 + 0.371981i \(0.121321\pi\)
\(152\) −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 −0.435570 0.900155i \(-0.643453\pi\)
0.328512 + 0.944500i \(0.393453\pi\)
\(158\) −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 0.996248 + 0.0865478i \(0.0275835\pi\)
−0.643255 + 0.765652i \(0.722416\pi\)
\(164\) −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 −0.797599 0.603189i \(-0.793897\pi\)
0.603189 + 0.797599i \(0.293897\pi\)
\(168\) −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 0.660654 + 0.750691i \(0.270279\pi\)
0.0636656 + 0.997971i \(0.479721\pi\)
\(174\) 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 −0.956276 0.292464i \(-0.905525\pi\)
−0.469386 + 0.882993i \(0.655525\pi\)
\(180\) −54.4626 37.7867i −0.302570 0.209926i
\(181\) −84.3482 34.9382i −0.466012 0.193029i 0.137307 0.990529i \(-0.456155\pi\)
−0.603319 + 0.797500i \(0.706155\pi\)
\(182\) −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 0.0697760 0.997563i \(-0.477772\pi\)
−0.656044 + 0.754722i \(0.727772\pi\)
\(198\) 209.697 + 260.127i 1.05907 + 1.31377i
\(199\) −151.538 + 151.538i −0.761498 + 0.761498i −0.976593 0.215095i \(-0.930994\pi\)
0.215095 + 0.976593i \(0.430994\pi\)
\(200\) −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 −0.284549 0.958661i \(-0.591844\pi\)
0.476669 + 0.879083i \(0.341844\pi\)
\(212\) 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 \(0.0270100\pi\)
−0.996402 + 0.0847527i \(0.972990\pi\)
\(224\) 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 0.396837 0.917889i \(-0.370108\pi\)
0.929652 + 0.368439i \(0.120108\pi\)
\(228\) −554.926 120.520i −2.43389 0.528596i
\(229\) −93.8004 + 226.454i −0.409609 + 0.988883i 0.575632 + 0.817709i \(0.304756\pi\)
−0.985241 + 0.171174i \(0.945244\pi\)
\(230\) −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 −0.701489 0.712680i \(-0.747481\pi\)
0.712680 + 0.701489i \(0.247481\pi\)
\(234\) 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 \(-0.627058\pi\)
0.388648 0.921386i \(-0.372942\pi\)
\(240\) 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 0.475599 + 0.879662i \(0.342232\pi\)
−0.958314 + 0.285716i \(0.907768\pi\)
\(252\) −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 \(0.0619900\pi\)
−0.981097 + 0.193519i \(0.938010\pi\)
\(258\) −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 0.678350 0.734739i \(-0.262695\pi\)
−0.734739 + 0.678350i \(0.762695\pi\)
\(264\) −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 0.778959 0.627075i \(-0.215748\pi\)
−0.994216 + 0.107399i \(0.965748\pi\)
\(270\) −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 −0.803065 0.595891i \(-0.796799\pi\)
0.989212 + 0.146494i \(0.0467989\pi\)
\(278\) −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 0.910520 0.413465i \(-0.135682\pi\)
−0.413465 + 0.910520i \(0.635682\pi\)
\(282\) −21.7805 + 17.5579i −0.0772359 + 0.0622622i
\(283\) 142.114 343.093i 0.502168 1.21234i −0.446132 0.894967i \(-0.647199\pi\)
0.948300 0.317375i \(-0.102801\pi\)
\(284\) 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 0.0479038 + 0.998852i \(0.484746\pi\)
−0.740168 + 0.672422i \(0.765254\pi\)
\(294\) 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 0.964438 0.264308i \(-0.0851435\pi\)
−0.868855 + 0.495067i \(0.835144\pi\)
\(308\) 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 0.0631324 0.998005i \(-0.479891\pi\)
−0.998005 + 0.0631324i \(0.979891\pi\)
\(312\) −583.392 + 42.0231i −1.86985 + 0.134690i
\(313\) −171.163 + 171.163i −0.546848 + 0.546848i −0.925528 0.378680i \(-0.876378\pi\)
0.378680 + 0.925528i \(0.376378\pi\)
\(314\) 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 −0.997668 0.0682601i \(-0.978255\pi\)
0.657190 0.753725i \(-0.271745\pi\)
\(318\) 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 −0.888906 0.458090i \(-0.848534\pi\)
0.952470 + 0.304633i \(0.0985339\pi\)
\(332\) −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 \(-0.984802\pi\)
0.998860 0.0477263i \(-0.0151975\pi\)
\(338\) 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 0.677751 0.735291i \(-0.262955\pi\)
−0.0406867 + 0.999172i \(0.512955\pi\)
\(348\) −10.4539 2.27039i −0.0300398 0.00652410i
\(349\) 479.801 198.740i 1.37479 0.569455i 0.431705 0.902015i \(-0.357912\pi\)
0.943082 + 0.332559i \(0.107912\pi\)
\(350\) 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 \(0.239026\pi\)
−0.731060 + 0.682313i \(0.760974\pi\)
\(354\) −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 −0.988719 0.149783i \(-0.952143\pi\)
−0.149783 0.988719i \(-0.547857\pi\)
\(360\) 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 0.627523 + 0.778598i \(0.284069\pi\)
−0.994278 + 0.106826i \(0.965931\pi\)
\(374\) −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 0.858464 0.512873i \(-0.171419\pi\)
0.244370 + 0.969682i \(0.421419\pi\)
\(380\) 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 \(0.133369\pi\)
−0.913499 + 0.406840i \(0.866631\pi\)
\(384\) −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 0.470633 0.882329i \(-0.344026\pi\)
−0.291114 + 0.956688i \(0.594026\pi\)
\(390\) −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 0.990445 0.137907i \(-0.0440374\pi\)
−0.797865 + 0.602836i \(0.794037\pi\)
\(398\) 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 \(-0.960657\pi\)
0.992371 0.123286i \(-0.0393434\pi\)
\(402\) 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 −0.288921 0.957353i \(-0.593297\pi\)
0.957353 + 0.288921i \(0.0932965\pi\)
\(410\) 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 0.473626 0.880726i \(-0.342945\pi\)
0.957672 + 0.287863i \(0.0929447\pi\)
\(420\) −100.057 116.920i −0.238232 0.278381i
\(421\) −313.459 129.839i −0.744557 0.308406i −0.0220386 0.999757i \(-0.507016\pi\)
−0.722519 + 0.691351i \(0.757016\pi\)
\(422\) −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 \(0.103930\pi\)
−0.947169 + 0.320734i \(0.896070\pi\)
\(432\) 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 0.996159 + 0.0875602i \(0.0279070\pi\)
0.0875602 + 0.996159i \(0.472093\pi\)
\(440\) 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 −0.223512 0.974701i \(-0.571752\pi\)
−0.847265 + 0.531171i \(0.821752\pi\)
\(444\) −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 −0.585188 0.810898i \(-0.698979\pi\)
0.810898 + 0.585188i \(0.198979\pi\)
\(458\) 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 0.942321 0.334709i \(-0.108638\pi\)
−0.902997 + 0.429646i \(0.858638\pi\)
\(462\) 317.757 + 707.612i 0.687786 + 1.53163i
\(463\) 51.0602i 0.110281i −0.998479 0.0551406i \(-0.982439\pi\)
0.998479 0.0551406i \(-0.0175607\pi\)
\(464\) 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 −0.925277 0.379293i \(-0.876167\pi\)
0.386069 0.922470i \(1.62617\pi\)
\(468\) −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 \(0.275661\pi\)
−0.647868 + 0.761753i \(0.724339\pi\)
\(480\) −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 0.875504 0.483211i \(-0.160530\pi\)
−0.483211 + 0.875504i \(0.660530\pi\)
\(488\) −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 −0.917176 0.398482i \(-0.869537\pi\)
0.930311 + 0.366772i \(0.119537\pi\)
\(492\) 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 −0.783106 + 0.621888i \(0.786366\pi\)
−0.993481 + 0.113999i \(0.963634\pi\)
\(500\) 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 0.978126 0.208012i \(-0.0666992\pi\)
−0.208012 + 0.978126i \(0.566699\pi\)
\(504\) −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 0.303229 0.952918i \(-0.401935\pi\)
0.888230 + 0.459400i \(0.151935\pi\)
\(510\) −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 0.981097 + 0.193517i \(0.0619894\pi\)
0.193517 + 0.981097i \(0.438011\pi\)
\(522\) −16.0357 1.72127i −0.0307198 0.00329745i
\(523\) −609.300 252.380i −1.16501 0.482563i −0.285469 0.958388i \(-0.592149\pi\)
−0.879540 + 0.475825i \(0.842149\pi\)
\(524\) 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 0.720124 0.693845i \(-0.244085\pi\)
−0.999827 + 0.0185821i \(0.994085\pi\)
\(542\) −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 0.998770 + 0.0495891i \(0.0157912\pi\)
−0.671172 + 0.741302i \(0.734209\pi\)
\(548\) 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 −0.291861 0.956461i \(-0.594275\pi\)
0.469943 + 0.882697i \(0.344275\pi\)
\(558\) −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 0.958718 + 0.284358i \(0.0917803\pi\)
−0.476845 + 0.878987i \(0.658220\pi\)
\(564\) 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 0.631190 0.775629i \(-0.282567\pi\)
−0.775629 + 0.631190i \(0.782567\pi\)
\(570\) 249.716 201.303i 0.438098 0.353164i
\(571\) 183.405 + 75.9688i 0.321199 + 0.133045i 0.537457 0.843291i \(-0.319385\pi\)
−0.216258 + 0.976336i \(0.569385\pi\)
\(572\) −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 \(-0.672405\pi\)
0.515531 0.856871i \(-0.327595\pi\)
\(578\) 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 −0.0315013 0.999504i \(-0.510029\pi\)
−0.729031 + 0.684481i \(0.760029\pi\)
\(588\) −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 −0.946217 0.323532i \(-0.895130\pi\)
0.323532 + 0.946217i \(0.395130\pi\)
\(600\) 825.479 413.730i 1.37580 0.689550i
\(601\) −296.333 + 296.333i −0.493067 + 0.493067i −0.909271 0.416204i \(-0.863360\pi\)
0.416204 + 0.909271i \(0.363360\pi\)
\(602\) −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 \(-0.777831\pi\)
0.766152 0.642660i \(-0.222169\pi\)
\(608\) −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 0.129336 0.991601i \(-0.458715\pi\)
−0.609713 + 0.792622i \(0.708715\pi\)
\(614\) −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 −0.131365 0.991334i \(-0.541936\pi\)
0.991334 + 0.131365i \(0.0419359\pi\)
\(618\) 151.592 1412.27i 0.245295 2.28522i
\(619\) 500.936 + 207.494i 0.809266 + 0.335209i 0.748661 0.662953i \(-0.230697\pi\)
0.0606051 + 0.998162i \(0.480697\pi\)
\(620\) 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 −0.372669 0.927965i \(-0.621557\pi\)
0.927965 + 0.372669i \(0.121557\pi\)
\(632\) −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 0.175932 0.984402i \(-0.443706\pi\)
0.820480 + 0.571675i \(0.193706\pi\)
\(644\) 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 −0.665887 0.746053i \(-0.731947\pi\)
0.746053 + 0.665887i \(0.231947\pi\)
\(648\) 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 −0.917052 0.398767i \(-0.869438\pi\)
−0.366483 + 0.930425i \(0.619438\pi\)
\(654\) −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 −0.113687 0.993517i \(-0.536266\pi\)
0.622134 + 0.782911i \(0.286266\pi\)
\(660\) 246.370 44.5363i 0.373288 0.0674793i
\(661\) 213.596 + 88.4744i 0.323141 + 0.133849i 0.538356 0.842717i \(-0.319045\pi\)
−0.215216 + 0.976567i \(0.569045\pi\)
\(662\) −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 −0.639451 0.768832i \(-0.720838\pi\)
0.995806 0.0914859i \(-0.0291617\pi\)
\(678\) 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 −0.883600 0.468242i \(-0.844888\pi\)
0.955897 + 0.293703i \(0.0948876\pi\)
\(684\) 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 0.899474 + 0.436973i \(0.143950\pi\)
−0.327038 + 0.945011i \(0.606050\pi\)
\(692\) 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 0.829911 0.557896i \(-0.188391\pi\)
−0.981328 + 0.192344i \(0.938391\pi\)
\(702\) −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 0.703201 0.710991i \(-0.251753\pi\)
−0.00550856 + 0.999985i \(0.501753\pi\)
\(710\) −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 0.839780 0.542927i \(-0.182684\pi\)
−0.542927 + 0.839780i \(0.682684\pi\)
\(728\) −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 −0.201735 0.979440i \(-0.564658\pi\)
0.549920 + 0.835217i \(0.314658\pi\)
\(734\) 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 0.830700 + 0.556721i \(0.187941\pi\)
−0.193732 + 0.981054i \(0.562059\pi\)
\(740\) 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 0.987974 0.154617i \(-0.0494145\pi\)
−0.154617 + 0.987974i \(0.549415\pi\)
\(744\) 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 \(-0.813289\pi\)
0.832843 0.553509i \(-0.186711\pi\)
\(752\) −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