Properties

Label 285.2.k.c.248.9
Level $285$
Weight $2$
Character 285.248
Analytic conductor $2.276$
Analytic rank $0$
Dimension $28$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [285,2,Mod(77,285)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(285, base_ring=CyclotomicField(4))
 
chi = DirichletCharacter(H, H._module([2, 1, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("285.77");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 285 = 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 285.k (of order \(4\), degree \(2\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(2.27573645761\)
Analytic rank: \(0\)
Dimension: \(28\)
Relative dimension: \(14\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 248.9
Character \(\chi\) \(=\) 285.248
Dual form 285.2.k.c.77.9

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.473364 + 0.473364i) q^{2} +(0.589855 + 1.62852i) q^{3} -1.55185i q^{4} +(1.83078 + 1.28384i) q^{5} +(-0.491666 + 1.05010i) q^{6} +(1.99868 - 1.99868i) q^{7} +(1.68132 - 1.68132i) q^{8} +(-2.30414 + 1.92118i) q^{9} +O(q^{10})\) \(q+(0.473364 + 0.473364i) q^{2} +(0.589855 + 1.62852i) q^{3} -1.55185i q^{4} +(1.83078 + 1.28384i) q^{5} +(-0.491666 + 1.05010i) q^{6} +(1.99868 - 1.99868i) q^{7} +(1.68132 - 1.68132i) q^{8} +(-2.30414 + 1.92118i) q^{9} +(0.258900 + 1.47435i) q^{10} +1.23619i q^{11} +(2.52722 - 0.915368i) q^{12} +(-2.31549 - 2.31549i) q^{13} +1.89221 q^{14} +(-1.01087 + 3.73874i) q^{15} -1.51195 q^{16} +(0.610528 + 0.610528i) q^{17} +(-2.00012 - 0.181281i) q^{18} +1.00000i q^{19} +(1.99233 - 2.84110i) q^{20} +(4.43382 + 2.07596i) q^{21} +(-0.585168 + 0.585168i) q^{22} +(-4.45579 + 4.45579i) q^{23} +(3.72979 + 1.74632i) q^{24} +(1.70350 + 4.70086i) q^{25} -2.19214i q^{26} +(-4.48778 - 2.61912i) q^{27} +(-3.10166 - 3.10166i) q^{28} -4.01991 q^{29} +(-2.24829 + 1.29128i) q^{30} +5.53518 q^{31} +(-4.07834 - 4.07834i) q^{32} +(-2.01316 + 0.729172i) q^{33} +0.578004i q^{34} +(6.22514 - 1.09315i) q^{35} +(2.98139 + 3.57569i) q^{36} +(-3.36870 + 3.36870i) q^{37} +(-0.473364 + 0.473364i) q^{38} +(2.40502 - 5.13663i) q^{39} +(5.23667 - 0.919574i) q^{40} -5.42483i q^{41} +(1.11613 + 3.08150i) q^{42} +(-5.73193 - 5.73193i) q^{43} +1.91838 q^{44} +(-6.68486 + 0.559097i) q^{45} -4.21842 q^{46} +(-3.15196 - 3.15196i) q^{47} +(-0.891833 - 2.46224i) q^{48} -0.989462i q^{49} +(-1.41884 + 3.03159i) q^{50} +(-0.634132 + 1.35438i) q^{51} +(-3.59331 + 3.59331i) q^{52} +(7.65312 - 7.65312i) q^{53} +(-0.884559 - 3.36415i) q^{54} +(-1.58707 + 2.26319i) q^{55} -6.72085i q^{56} +(-1.62852 + 0.589855i) q^{57} +(-1.90288 - 1.90288i) q^{58} -5.84786 q^{59} +(5.80197 + 1.56872i) q^{60} +12.3452 q^{61} +(2.62016 + 2.62016i) q^{62} +(-0.765422 + 8.44507i) q^{63} -0.837177i q^{64} +(-1.26643 - 7.21188i) q^{65} +(-1.29812 - 0.607792i) q^{66} +(-1.62998 + 1.62998i) q^{67} +(0.947449 - 0.947449i) q^{68} +(-9.88460 - 4.62806i) q^{69} +(3.46421 + 2.42930i) q^{70} -4.64501i q^{71} +(-0.643884 + 7.10412i) q^{72} +(0.204912 + 0.204912i) q^{73} -3.18924 q^{74} +(-6.65062 + 5.54700i) q^{75} +1.55185 q^{76} +(2.47075 + 2.47075i) q^{77} +(3.56994 - 1.29305i) q^{78} -0.300653i q^{79} +(-2.76805 - 1.94111i) q^{80} +(1.61814 - 8.85334i) q^{81} +(2.56792 - 2.56792i) q^{82} +(9.55443 - 9.55443i) q^{83} +(3.22158 - 6.88064i) q^{84} +(0.333919 + 1.90156i) q^{85} -5.42658i q^{86} +(-2.37116 - 6.54649i) q^{87} +(2.07843 + 2.07843i) q^{88} -4.28210 q^{89} +(-3.42903 - 2.89972i) q^{90} -9.25587 q^{91} +(6.91473 + 6.91473i) q^{92} +(3.26496 + 9.01415i) q^{93} -2.98405i q^{94} +(-1.28384 + 1.83078i) q^{95} +(4.23602 - 9.04729i) q^{96} +(-11.9617 + 11.9617i) q^{97} +(0.468376 - 0.468376i) q^{98} +(-2.37494 - 2.84836i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 28 q - 2 q^{3} - 12 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 28 q - 2 q^{3} - 12 q^{6} - 8 q^{10} + 34 q^{12} + 8 q^{13} - 14 q^{15} - 20 q^{16} - 24 q^{18} - 4 q^{21} - 32 q^{22} + 8 q^{25} + 22 q^{27} - 28 q^{28} + 12 q^{30} + 72 q^{31} - 84 q^{36} - 12 q^{37} + 20 q^{40} + 48 q^{42} - 12 q^{43} - 52 q^{45} + 8 q^{46} + 46 q^{48} + 28 q^{51} - 76 q^{52} + 104 q^{55} + 2 q^{57} - 60 q^{58} - 22 q^{60} + 96 q^{61} + 56 q^{63} - 28 q^{66} - 72 q^{67} + 68 q^{70} + 20 q^{72} - 72 q^{73} + 2 q^{75} - 36 q^{76} + 76 q^{78} - 100 q^{81} - 116 q^{82} - 44 q^{85} + 4 q^{87} + 60 q^{88} - 36 q^{90} - 80 q^{91} + 52 q^{93} - 80 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).

\(n\) \(172\) \(191\) \(211\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(-1\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.473364 + 0.473364i 0.334719 + 0.334719i 0.854375 0.519656i \(-0.173940\pi\)
−0.519656 + 0.854375i \(0.673940\pi\)
\(3\) 0.589855 + 1.62852i 0.340553 + 0.940225i
\(4\) 1.55185i 0.775926i
\(5\) 1.83078 + 1.28384i 0.818749 + 0.574152i
\(6\) −0.491666 + 1.05010i −0.200722 + 0.428701i
\(7\) 1.99868 1.99868i 0.755431 0.755431i −0.220056 0.975487i \(-0.570624\pi\)
0.975487 + 0.220056i \(0.0706241\pi\)
\(8\) 1.68132 1.68132i 0.594436 0.594436i
\(9\) −2.30414 + 1.92118i −0.768047 + 0.640393i
\(10\) 0.258900 + 1.47435i 0.0818713 + 0.466230i
\(11\) 1.23619i 0.372725i 0.982481 + 0.186363i \(0.0596699\pi\)
−0.982481 + 0.186363i \(0.940330\pi\)
\(12\) 2.52722 0.915368i 0.729546 0.264244i
\(13\) −2.31549 2.31549i −0.642202 0.642202i 0.308894 0.951096i \(-0.400041\pi\)
−0.951096 + 0.308894i \(0.900041\pi\)
\(14\) 1.89221 0.505714
\(15\) −1.01087 + 3.73874i −0.261005 + 0.965338i
\(16\) −1.51195 −0.377988
\(17\) 0.610528 + 0.610528i 0.148075 + 0.148075i 0.777257 0.629183i \(-0.216610\pi\)
−0.629183 + 0.777257i \(0.716610\pi\)
\(18\) −2.00012 0.181281i −0.471432 0.0427283i
\(19\) 1.00000i 0.229416i
\(20\) 1.99233 2.84110i 0.445500 0.635289i
\(21\) 4.43382 + 2.07596i 0.967539 + 0.453011i
\(22\) −0.585168 + 0.585168i −0.124758 + 0.124758i
\(23\) −4.45579 + 4.45579i −0.929096 + 0.929096i −0.997648 0.0685512i \(-0.978162\pi\)
0.0685512 + 0.997648i \(0.478162\pi\)
\(24\) 3.72979 + 1.74632i 0.761341 + 0.356467i
\(25\) 1.70350 + 4.70086i 0.340699 + 0.940172i
\(26\) 2.19214i 0.429915i
\(27\) −4.48778 2.61912i −0.863675 0.504050i
\(28\) −3.10166 3.10166i −0.586159 0.586159i
\(29\) −4.01991 −0.746478 −0.373239 0.927735i \(-0.621753\pi\)
−0.373239 + 0.927735i \(0.621753\pi\)
\(30\) −2.24829 + 1.29128i −0.410480 + 0.235754i
\(31\) 5.53518 0.994148 0.497074 0.867708i \(-0.334408\pi\)
0.497074 + 0.867708i \(0.334408\pi\)
\(32\) −4.07834 4.07834i −0.720956 0.720956i
\(33\) −2.01316 + 0.729172i −0.350446 + 0.126933i
\(34\) 0.578004i 0.0991268i
\(35\) 6.22514 1.09315i 1.05224 0.184776i
\(36\) 2.98139 + 3.57569i 0.496898 + 0.595948i
\(37\) −3.36870 + 3.36870i −0.553811 + 0.553811i −0.927538 0.373728i \(-0.878079\pi\)
0.373728 + 0.927538i \(0.378079\pi\)
\(38\) −0.473364 + 0.473364i −0.0767898 + 0.0767898i
\(39\) 2.40502 5.13663i 0.385111 0.822519i
\(40\) 5.23667 0.919574i 0.827991 0.145397i
\(41\) 5.42483i 0.847216i −0.905846 0.423608i \(-0.860763\pi\)
0.905846 0.423608i \(-0.139237\pi\)
\(42\) 1.11613 + 3.08150i 0.172222 + 0.475485i
\(43\) −5.73193 5.73193i −0.874111 0.874111i 0.118806 0.992917i \(-0.462093\pi\)
−0.992917 + 0.118806i \(0.962093\pi\)
\(44\) 1.91838 0.289207
\(45\) −6.68486 + 0.559097i −0.996521 + 0.0833452i
\(46\) −4.21842 −0.621972
\(47\) −3.15196 3.15196i −0.459760 0.459760i 0.438816 0.898577i \(-0.355398\pi\)
−0.898577 + 0.438816i \(0.855398\pi\)
\(48\) −0.891833 2.46224i −0.128725 0.355394i
\(49\) 0.989462i 0.141352i
\(50\) −1.41884 + 3.03159i −0.200655 + 0.428732i
\(51\) −0.634132 + 1.35438i −0.0887963 + 0.189651i
\(52\) −3.59331 + 3.59331i −0.498302 + 0.498302i
\(53\) 7.65312 7.65312i 1.05124 1.05124i 0.0526223 0.998614i \(-0.483242\pi\)
0.998614 0.0526223i \(-0.0167579\pi\)
\(54\) −0.884559 3.36415i −0.120373 0.457803i
\(55\) −1.58707 + 2.26319i −0.214001 + 0.305168i
\(56\) 6.72085i 0.898111i
\(57\) −1.62852 + 0.589855i −0.215702 + 0.0781282i
\(58\) −1.90288 1.90288i −0.249860 0.249860i
\(59\) −5.84786 −0.761326 −0.380663 0.924714i \(-0.624304\pi\)
−0.380663 + 0.924714i \(0.624304\pi\)
\(60\) 5.80197 + 1.56872i 0.749031 + 0.202520i
\(61\) 12.3452 1.58064 0.790318 0.612697i \(-0.209916\pi\)
0.790318 + 0.612697i \(0.209916\pi\)
\(62\) 2.62016 + 2.62016i 0.332760 + 0.332760i
\(63\) −0.765422 + 8.44507i −0.0964341 + 1.06398i
\(64\) 0.837177i 0.104647i
\(65\) −1.26643 7.21188i −0.157081 0.894524i
\(66\) −1.29812 0.607792i −0.159788 0.0748140i
\(67\) −1.62998 + 1.62998i −0.199134 + 0.199134i −0.799629 0.600495i \(-0.794970\pi\)
0.600495 + 0.799629i \(0.294970\pi\)
\(68\) 0.947449 0.947449i 0.114895 0.114895i
\(69\) −9.88460 4.62806i −1.18997 0.557153i
\(70\) 3.46421 + 2.42930i 0.414053 + 0.290357i
\(71\) 4.64501i 0.551261i −0.961264 0.275631i \(-0.911113\pi\)
0.961264 0.275631i \(-0.0888867\pi\)
\(72\) −0.643884 + 7.10412i −0.0758824 + 0.837228i
\(73\) 0.204912 + 0.204912i 0.0239831 + 0.0239831i 0.718997 0.695014i \(-0.244602\pi\)
−0.695014 + 0.718997i \(0.744602\pi\)
\(74\) −3.18924 −0.370742
\(75\) −6.65062 + 5.54700i −0.767948 + 0.640513i
\(76\) 1.55185 0.178010
\(77\) 2.47075 + 2.47075i 0.281568 + 0.281568i
\(78\) 3.56994 1.29305i 0.404217 0.146409i
\(79\) 0.300653i 0.0338261i −0.999857 0.0169130i \(-0.994616\pi\)
0.999857 0.0169130i \(-0.00538384\pi\)
\(80\) −2.76805 1.94111i −0.309477 0.217023i
\(81\) 1.61814 8.85334i 0.179794 0.983704i
\(82\) 2.56792 2.56792i 0.283579 0.283579i
\(83\) 9.55443 9.55443i 1.04874 1.04874i 0.0499853 0.998750i \(-0.484083\pi\)
0.998750 0.0499853i \(-0.0159175\pi\)
\(84\) 3.22158 6.88064i 0.351503 0.750739i
\(85\) 0.333919 + 1.90156i 0.0362186 + 0.206253i
\(86\) 5.42658i 0.585163i
\(87\) −2.37116 6.54649i −0.254215 0.701857i
\(88\) 2.07843 + 2.07843i 0.221561 + 0.221561i
\(89\) −4.28210 −0.453901 −0.226951 0.973906i \(-0.572876\pi\)
−0.226951 + 0.973906i \(0.572876\pi\)
\(90\) −3.42903 2.89972i −0.361452 0.305657i
\(91\) −9.25587 −0.970279
\(92\) 6.91473 + 6.91473i 0.720910 + 0.720910i
\(93\) 3.26496 + 9.01415i 0.338560 + 0.934724i
\(94\) 2.98405i 0.307781i
\(95\) −1.28384 + 1.83078i −0.131719 + 0.187834i
\(96\) 4.23602 9.04729i 0.432337 0.923385i
\(97\) −11.9617 + 11.9617i −1.21453 + 1.21453i −0.245004 + 0.969522i \(0.578789\pi\)
−0.969522 + 0.245004i \(0.921211\pi\)
\(98\) 0.468376 0.468376i 0.0473131 0.0473131i
\(99\) −2.37494 2.84836i −0.238691 0.286271i
\(100\) 7.29505 2.64358i 0.729505 0.264358i
\(101\) 17.7036i 1.76158i 0.473510 + 0.880789i \(0.342987\pi\)
−0.473510 + 0.880789i \(0.657013\pi\)
\(102\) −0.941289 + 0.340938i −0.0932015 + 0.0337579i
\(103\) −6.20265 6.20265i −0.611166 0.611166i 0.332084 0.943250i \(-0.392248\pi\)
−0.943250 + 0.332084i \(0.892248\pi\)
\(104\) −7.78617 −0.763497
\(105\) 5.45214 + 9.49295i 0.532075 + 0.926417i
\(106\) 7.24542 0.703738
\(107\) −1.58554 1.58554i −0.153280 0.153280i 0.626301 0.779581i \(-0.284568\pi\)
−0.779581 + 0.626301i \(0.784568\pi\)
\(108\) −4.06449 + 6.96438i −0.391106 + 0.670148i
\(109\) 14.0327i 1.34409i 0.740510 + 0.672045i \(0.234584\pi\)
−0.740510 + 0.672045i \(0.765416\pi\)
\(110\) −1.82258 + 0.320049i −0.173776 + 0.0305155i
\(111\) −7.47303 3.49894i −0.709309 0.332105i
\(112\) −3.02191 + 3.02191i −0.285544 + 0.285544i
\(113\) −10.4922 + 10.4922i −0.987025 + 0.987025i −0.999917 0.0128918i \(-0.995896\pi\)
0.0128918 + 0.999917i \(0.495896\pi\)
\(114\) −1.05010 0.491666i −0.0983507 0.0460487i
\(115\) −13.8781 + 2.43703i −1.29414 + 0.227254i
\(116\) 6.23830i 0.579212i
\(117\) 9.78370 + 0.886749i 0.904504 + 0.0819800i
\(118\) −2.76817 2.76817i −0.254830 0.254830i
\(119\) 2.44050 0.223720
\(120\) 4.58642 + 7.98560i 0.418681 + 0.728982i
\(121\) 9.47184 0.861076
\(122\) 5.84375 + 5.84375i 0.529069 + 0.529069i
\(123\) 8.83444 3.19986i 0.796574 0.288522i
\(124\) 8.58979i 0.771386i
\(125\) −2.91644 + 10.7933i −0.260854 + 0.965378i
\(126\) −4.35992 + 3.63527i −0.388412 + 0.323856i
\(127\) 13.9098 13.9098i 1.23430 1.23430i 0.271998 0.962298i \(-0.412316\pi\)
0.962298 0.271998i \(-0.0876843\pi\)
\(128\) −7.76040 + 7.76040i −0.685929 + 0.685929i
\(129\) 5.95355 12.7156i 0.524180 1.11954i
\(130\) 2.81437 4.01333i 0.246836 0.351992i
\(131\) 2.31831i 0.202552i −0.994858 0.101276i \(-0.967708\pi\)
0.994858 0.101276i \(-0.0322925\pi\)
\(132\) 1.13157 + 3.12412i 0.0984904 + 0.271920i
\(133\) 1.99868 + 1.99868i 0.173308 + 0.173308i
\(134\) −1.54315 −0.133308
\(135\) −4.85360 10.5566i −0.417731 0.908571i
\(136\) 2.05298 0.176042
\(137\) 10.9032 + 10.9032i 0.931520 + 0.931520i 0.997801 0.0662808i \(-0.0211133\pi\)
−0.0662808 + 0.997801i \(0.521113\pi\)
\(138\) −2.48826 6.86978i −0.211815 0.584794i
\(139\) 0.155007i 0.0131475i 0.999978 + 0.00657374i \(0.00209250\pi\)
−0.999978 + 0.00657374i \(0.997907\pi\)
\(140\) −1.69641 9.66050i −0.143373 0.816461i
\(141\) 3.27382 6.99222i 0.275706 0.588851i
\(142\) 2.19878 2.19878i 0.184518 0.184518i
\(143\) 2.86239 2.86239i 0.239365 0.239365i
\(144\) 3.48375 2.90473i 0.290313 0.242061i
\(145\) −7.35956 5.16093i −0.611178 0.428592i
\(146\) 0.193996i 0.0160552i
\(147\) 1.61136 0.583639i 0.132902 0.0481377i
\(148\) 5.22773 + 5.22773i 0.429716 + 0.429716i
\(149\) 24.0100 1.96698 0.983488 0.180975i \(-0.0579253\pi\)
0.983488 + 0.180975i \(0.0579253\pi\)
\(150\) −5.77392 0.522414i −0.471438 0.0426549i
\(151\) 1.99298 0.162186 0.0810930 0.996707i \(-0.474159\pi\)
0.0810930 + 0.996707i \(0.474159\pi\)
\(152\) 1.68132 + 1.68132i 0.136373 + 0.136373i
\(153\) −2.57967 0.233810i −0.208554 0.0189024i
\(154\) 2.33913i 0.188492i
\(155\) 10.1337 + 7.10631i 0.813958 + 0.570792i
\(156\) −7.97129 3.73223i −0.638214 0.298818i
\(157\) −0.343641 + 0.343641i −0.0274255 + 0.0274255i −0.720687 0.693261i \(-0.756173\pi\)
0.693261 + 0.720687i \(0.256173\pi\)
\(158\) 0.142318 0.142318i 0.0113222 0.0113222i
\(159\) 16.9775 + 7.94901i 1.34640 + 0.630398i
\(160\) −2.23059 12.7025i −0.176344 1.00422i
\(161\) 17.8114i 1.40374i
\(162\) 4.95682 3.42488i 0.389445 0.269084i
\(163\) 0.283057 + 0.283057i 0.0221708 + 0.0221708i 0.718105 0.695935i \(-0.245010\pi\)
−0.695935 + 0.718105i \(0.745010\pi\)
\(164\) −8.41854 −0.657378
\(165\) −4.62179 1.24962i −0.359806 0.0972830i
\(166\) 9.04545 0.702063
\(167\) −13.0003 13.0003i −1.00599 1.00599i −0.999982 0.00601214i \(-0.998086\pi\)
−0.00601214 0.999982i \(-0.501914\pi\)
\(168\) 10.9450 3.96433i 0.844427 0.305854i
\(169\) 2.27698i 0.175152i
\(170\) −0.742066 + 1.05820i −0.0569138 + 0.0811600i
\(171\) −1.92118 2.30414i −0.146916 0.176202i
\(172\) −8.89511 + 8.89511i −0.678246 + 0.678246i
\(173\) −11.1746 + 11.1746i −0.849591 + 0.849591i −0.990082 0.140491i \(-0.955132\pi\)
0.140491 + 0.990082i \(0.455132\pi\)
\(174\) 1.97645 4.22130i 0.149834 0.320016i
\(175\) 12.8003 + 5.99078i 0.967610 + 0.452860i
\(176\) 1.86906i 0.140886i
\(177\) −3.44939 9.52334i −0.259272 0.715818i
\(178\) −2.02699 2.02699i −0.151929 0.151929i
\(179\) 22.6831 1.69541 0.847707 0.530465i \(-0.177982\pi\)
0.847707 + 0.530465i \(0.177982\pi\)
\(180\) 0.867636 + 10.3739i 0.0646698 + 0.773227i
\(181\) 15.2220 1.13144 0.565720 0.824598i \(-0.308598\pi\)
0.565720 + 0.824598i \(0.308598\pi\)
\(182\) −4.38140 4.38140i −0.324771 0.324771i
\(183\) 7.28185 + 20.1043i 0.538290 + 1.48615i
\(184\) 14.9832i 1.10458i
\(185\) −10.4922 + 1.84246i −0.771403 + 0.135460i
\(186\) −2.72146 + 5.81249i −0.199547 + 0.426192i
\(187\) −0.754728 + 0.754728i −0.0551911 + 0.0551911i
\(188\) −4.89138 + 4.89138i −0.356740 + 0.356740i
\(189\) −14.2044 + 3.73487i −1.03322 + 0.271672i
\(190\) −1.47435 + 0.258900i −0.106961 + 0.0187826i
\(191\) 3.89851i 0.282086i 0.990003 + 0.141043i \(0.0450456\pi\)
−0.990003 + 0.141043i \(0.954954\pi\)
\(192\) 1.36336 0.493813i 0.0983918 0.0356379i
\(193\) −15.3395 15.3395i −1.10416 1.10416i −0.993903 0.110257i \(-0.964833\pi\)
−0.110257 0.993903i \(-0.535167\pi\)
\(194\) −11.3245 −0.813050
\(195\) 10.9977 6.31636i 0.787560 0.452324i
\(196\) −1.53550 −0.109679
\(197\) 15.1600 + 15.1600i 1.08010 + 1.08010i 0.996499 + 0.0836049i \(0.0266434\pi\)
0.0836049 + 0.996499i \(0.473357\pi\)
\(198\) 0.224098 2.47252i 0.0159259 0.175714i
\(199\) 27.1689i 1.92595i 0.269590 + 0.962975i \(0.413112\pi\)
−0.269590 + 0.962975i \(0.586888\pi\)
\(200\) 10.7678 + 5.03953i 0.761397 + 0.356348i
\(201\) −3.61591 1.69300i −0.255047 0.119415i
\(202\) −8.38026 + 8.38026i −0.589633 + 0.589633i
\(203\) −8.03452 + 8.03452i −0.563912 + 0.563912i
\(204\) 2.10180 + 0.984080i 0.147155 + 0.0688994i
\(205\) 6.96463 9.93166i 0.486431 0.693657i
\(206\) 5.87223i 0.409137i
\(207\) 1.70640 18.8271i 0.118603 1.30858i
\(208\) 3.50092 + 3.50092i 0.242745 + 0.242745i
\(209\) −1.23619 −0.0855090
\(210\) −1.91277 + 7.07447i −0.131994 + 0.488185i
\(211\) −1.30424 −0.0897874 −0.0448937 0.998992i \(-0.514295\pi\)
−0.0448937 + 0.998992i \(0.514295\pi\)
\(212\) −11.8765 11.8765i −0.815682 0.815682i
\(213\) 7.56448 2.73988i 0.518310 0.187734i
\(214\) 1.50108i 0.102612i
\(215\) −3.13500 17.8528i −0.213805 1.21755i
\(216\) −11.9490 + 3.14182i −0.813025 + 0.213774i
\(217\) 11.0631 11.0631i 0.751010 0.751010i
\(218\) −6.64258 + 6.64258i −0.449892 + 0.449892i
\(219\) −0.212834 + 0.454571i −0.0143820 + 0.0307170i
\(220\) 3.51214 + 2.46290i 0.236788 + 0.166049i
\(221\) 2.82735i 0.190188i
\(222\) −1.88119 5.19374i −0.126257 0.348581i
\(223\) −11.3722 11.3722i −0.761540 0.761540i 0.215060 0.976601i \(-0.431005\pi\)
−0.976601 + 0.215060i \(0.931005\pi\)
\(224\) −16.3026 −1.08927
\(225\) −12.9563 7.55873i −0.863753 0.503915i
\(226\) −9.93328 −0.660752
\(227\) −1.39911 1.39911i −0.0928625 0.0928625i 0.659149 0.752012i \(-0.270916\pi\)
−0.752012 + 0.659149i \(0.770916\pi\)
\(228\) 0.915368 + 2.52722i 0.0606217 + 0.167369i
\(229\) 2.38113i 0.157349i −0.996900 0.0786746i \(-0.974931\pi\)
0.996900 0.0786746i \(-0.0250688\pi\)
\(230\) −7.72299 5.41579i −0.509239 0.357107i
\(231\) −2.56628 + 5.48104i −0.168849 + 0.360626i
\(232\) −6.75875 + 6.75875i −0.443734 + 0.443734i
\(233\) 2.30714 2.30714i 0.151145 0.151145i −0.627484 0.778629i \(-0.715915\pi\)
0.778629 + 0.627484i \(0.215915\pi\)
\(234\) 4.21150 + 5.05101i 0.275314 + 0.330195i
\(235\) −1.72392 9.81716i −0.112456 0.640401i
\(236\) 9.07501i 0.590733i
\(237\) 0.489618 0.177341i 0.0318041 0.0115196i
\(238\) 1.15525 + 1.15525i 0.0748835 + 0.0748835i
\(239\) −28.0253 −1.81280 −0.906402 0.422416i \(-0.861182\pi\)
−0.906402 + 0.422416i \(0.861182\pi\)
\(240\) 1.52838 5.65279i 0.0986567 0.364886i
\(241\) −18.8021 −1.21115 −0.605575 0.795788i \(-0.707057\pi\)
−0.605575 + 0.795788i \(0.707057\pi\)
\(242\) 4.48363 + 4.48363i 0.288218 + 0.288218i
\(243\) 15.3723 2.58701i 0.986133 0.165957i
\(244\) 19.1579i 1.22646i
\(245\) 1.27031 1.81149i 0.0811573 0.115732i
\(246\) 5.69661 + 2.66720i 0.363202 + 0.170055i
\(247\) 2.31549 2.31549i 0.147331 0.147331i
\(248\) 9.30641 9.30641i 0.590958 0.590958i
\(249\) 21.1953 + 9.92384i 1.34320 + 0.628898i
\(250\) −6.48968 + 3.72860i −0.410443 + 0.235817i
\(251\) 8.84899i 0.558543i −0.960212 0.279272i \(-0.909907\pi\)
0.960212 0.279272i \(-0.0900930\pi\)
\(252\) 13.1055 + 1.18782i 0.825570 + 0.0748257i
\(253\) −5.50820 5.50820i −0.346298 0.346298i
\(254\) 13.1688 0.826284
\(255\) −2.89976 + 1.66544i −0.181590 + 0.104294i
\(256\) −9.02134 −0.563834
\(257\) −13.1993 13.1993i −0.823350 0.823350i 0.163236 0.986587i \(-0.447807\pi\)
−0.986587 + 0.163236i \(0.947807\pi\)
\(258\) 8.83729 3.20090i 0.550185 0.199279i
\(259\) 13.4659i 0.836732i
\(260\) −11.1918 + 1.96531i −0.694085 + 0.121883i
\(261\) 9.26244 7.72296i 0.573330 0.478039i
\(262\) 1.09740 1.09740i 0.0677979 0.0677979i
\(263\) 16.9158 16.9158i 1.04307 1.04307i 0.0440408 0.999030i \(-0.485977\pi\)
0.999030 0.0440408i \(-0.0140232\pi\)
\(264\) −2.15879 + 4.61073i −0.132864 + 0.283771i
\(265\) 23.8366 4.18576i 1.46427 0.257129i
\(266\) 1.89221i 0.116019i
\(267\) −2.52582 6.97347i −0.154577 0.426770i
\(268\) 2.52949 + 2.52949i 0.154513 + 0.154513i
\(269\) 25.5820 1.55976 0.779881 0.625927i \(-0.215279\pi\)
0.779881 + 0.625927i \(0.215279\pi\)
\(270\) 2.69961 7.29465i 0.164293 0.443938i
\(271\) −16.6279 −1.01007 −0.505036 0.863098i \(-0.668521\pi\)
−0.505036 + 0.863098i \(0.668521\pi\)
\(272\) −0.923089 0.923089i −0.0559705 0.0559705i
\(273\) −5.45962 15.0734i −0.330431 0.912281i
\(274\) 10.3223i 0.623595i
\(275\) −5.81115 + 2.10584i −0.350426 + 0.126987i
\(276\) −7.18207 + 15.3395i −0.432310 + 0.923326i
\(277\) 0.689312 0.689312i 0.0414168 0.0414168i −0.686095 0.727512i \(-0.740677\pi\)
0.727512 + 0.686095i \(0.240677\pi\)
\(278\) −0.0733746 + 0.0733746i −0.00440071 + 0.00440071i
\(279\) −12.7539 + 10.6341i −0.763553 + 0.636646i
\(280\) 8.62851 12.3044i 0.515652 0.735327i
\(281\) 5.24542i 0.312915i 0.987685 + 0.156458i \(0.0500075\pi\)
−0.987685 + 0.156458i \(0.949993\pi\)
\(282\) 4.85958 1.76016i 0.289384 0.104816i
\(283\) 5.05530 + 5.05530i 0.300507 + 0.300507i 0.841212 0.540705i \(-0.181843\pi\)
−0.540705 + 0.841212i \(0.681843\pi\)
\(284\) −7.20837 −0.427738
\(285\) −3.73874 1.01087i −0.221464 0.0598786i
\(286\) 2.70990 0.160240
\(287\) −10.8425 10.8425i −0.640013 0.640013i
\(288\) 17.2323 + 1.56186i 1.01542 + 0.0920332i
\(289\) 16.2545i 0.956148i
\(290\) −1.04075 5.92675i −0.0611151 0.348031i
\(291\) −26.5355 12.4242i −1.55554 0.728318i
\(292\) 0.317993 0.317993i 0.0186091 0.0186091i
\(293\) −4.33771 + 4.33771i −0.253412 + 0.253412i −0.822368 0.568956i \(-0.807347\pi\)
0.568956 + 0.822368i \(0.307347\pi\)
\(294\) 1.03903 + 0.486485i 0.0605976 + 0.0283724i
\(295\) −10.7061 7.50773i −0.623335 0.437117i
\(296\) 11.3277i 0.658410i
\(297\) 3.23773 5.54775i 0.187872 0.321913i
\(298\) 11.3655 + 11.3655i 0.658384 + 0.658384i
\(299\) 20.6347 1.19334
\(300\) 8.60813 + 10.3208i 0.496991 + 0.595871i
\(301\) −22.9126 −1.32066
\(302\) 0.943403 + 0.943403i 0.0542868 + 0.0542868i
\(303\) −28.8307 + 10.4426i −1.65628 + 0.599910i
\(304\) 1.51195i 0.0867165i
\(305\) 22.6012 + 15.8492i 1.29414 + 0.907525i
\(306\) −1.11045 1.33180i −0.0634801 0.0761341i
\(307\) 5.46964 5.46964i 0.312169 0.312169i −0.533580 0.845749i \(-0.679154\pi\)
0.845749 + 0.533580i \(0.179154\pi\)
\(308\) 3.83424 3.83424i 0.218476 0.218476i
\(309\) 6.44247 13.7598i 0.366499 0.782768i
\(310\) 1.43306 + 8.16080i 0.0813922 + 0.463502i
\(311\) 5.40449i 0.306460i −0.988191 0.153230i \(-0.951032\pi\)
0.988191 0.153230i \(-0.0489676\pi\)
\(312\) −4.59271 12.6799i −0.260011 0.717859i
\(313\) 11.8583 + 11.8583i 0.670271 + 0.670271i 0.957778 0.287508i \(-0.0928267\pi\)
−0.287508 + 0.957778i \(0.592827\pi\)
\(314\) −0.325334 −0.0183597
\(315\) −12.2435 + 14.4784i −0.689841 + 0.815764i
\(316\) −0.466569 −0.0262465
\(317\) 12.3577 + 12.3577i 0.694078 + 0.694078i 0.963127 0.269049i \(-0.0867093\pi\)
−0.269049 + 0.963127i \(0.586709\pi\)
\(318\) 4.27375 + 11.7993i 0.239660 + 0.661672i
\(319\) 4.96937i 0.278231i
\(320\) 1.07480 1.53268i 0.0600833 0.0856797i
\(321\) 1.64685 3.51733i 0.0919180 0.196318i
\(322\) −8.43128 + 8.43128i −0.469857 + 0.469857i
\(323\) −0.610528 + 0.610528i −0.0339707 + 0.0339707i
\(324\) −13.7391 2.51112i −0.763282 0.139507i
\(325\) 6.94038 14.8293i 0.384983 0.822579i
\(326\) 0.267978i 0.0148419i
\(327\) −22.8525 + 8.27726i −1.26375 + 0.457734i
\(328\) −9.12088 9.12088i −0.503616 0.503616i
\(329\) −12.5995 −0.694635
\(330\) −1.59626 2.77931i −0.0878713 0.152996i
\(331\) 10.3394 0.568303 0.284152 0.958779i \(-0.408288\pi\)
0.284152 + 0.958779i \(0.408288\pi\)
\(332\) −14.8271 14.8271i −0.813741 0.813741i
\(333\) 1.29009 14.2338i 0.0706964 0.780009i
\(334\) 12.3078i 0.673451i
\(335\) −5.07678 + 0.891496i −0.277374 + 0.0487076i
\(336\) −6.70373 3.13875i −0.365719 0.171233i
\(337\) 1.61990 1.61990i 0.0882417 0.0882417i −0.661608 0.749850i \(-0.730126\pi\)
0.749850 + 0.661608i \(0.230126\pi\)
\(338\) 1.07784 1.07784i 0.0586267 0.0586267i
\(339\) −23.2757 10.8979i −1.26416 0.591892i
\(340\) 2.95094 0.518194i 0.160037 0.0281030i
\(341\) 6.84254i 0.370544i
\(342\) 0.181281 2.00012i 0.00980256 0.108154i
\(343\) 12.0132 + 12.0132i 0.648649 + 0.648649i
\(344\) −19.2744 −1.03921
\(345\) −12.1548 21.1632i −0.654393 1.13939i
\(346\) −10.5793 −0.568748
\(347\) −5.67684 5.67684i −0.304749 0.304749i 0.538120 0.842869i \(-0.319135\pi\)
−0.842869 + 0.538120i \(0.819135\pi\)
\(348\) −10.1592 + 3.67969i −0.544590 + 0.197252i
\(349\) 10.5208i 0.563165i 0.959537 + 0.281582i \(0.0908592\pi\)
−0.959537 + 0.281582i \(0.909141\pi\)
\(350\) 3.22337 + 8.89501i 0.172296 + 0.475458i
\(351\) 4.32688 + 16.4560i 0.230952 + 0.878356i
\(352\) 5.04160 5.04160i 0.268718 0.268718i
\(353\) 14.2057 14.2057i 0.756095 0.756095i −0.219514 0.975609i \(-0.570447\pi\)
0.975609 + 0.219514i \(0.0704473\pi\)
\(354\) 2.87519 6.14082i 0.152815 0.326381i
\(355\) 5.96346 8.50398i 0.316508 0.451345i
\(356\) 6.64518i 0.352194i
\(357\) 1.43954 + 3.97440i 0.0761886 + 0.210348i
\(358\) 10.7374 + 10.7374i 0.567487 + 0.567487i
\(359\) 20.3405 1.07353 0.536765 0.843732i \(-0.319646\pi\)
0.536765 + 0.843732i \(0.319646\pi\)
\(360\) −10.2994 + 12.1794i −0.542825 + 0.641911i
\(361\) −1.00000 −0.0526316
\(362\) 7.20553 + 7.20553i 0.378714 + 0.378714i
\(363\) 5.58701 + 15.4251i 0.293242 + 0.809605i
\(364\) 14.3638i 0.752865i
\(365\) 0.112074 + 0.638222i 0.00586620 + 0.0334061i
\(366\) −6.06969 + 12.9636i −0.317268 + 0.677619i
\(367\) −22.8805 + 22.8805i −1.19435 + 1.19435i −0.218522 + 0.975832i \(0.570124\pi\)
−0.975832 + 0.218522i \(0.929876\pi\)
\(368\) 6.73694 6.73694i 0.351188 0.351188i
\(369\) 10.4221 + 12.4996i 0.542551 + 0.650702i
\(370\) −5.83880 4.09449i −0.303545 0.212862i
\(371\) 30.5923i 1.58827i
\(372\) 13.9886 5.06673i 0.725277 0.262698i
\(373\) −3.00344 3.00344i −0.155512 0.155512i 0.625062 0.780575i \(-0.285073\pi\)
−0.780575 + 0.625062i \(0.785073\pi\)
\(374\) −0.714522 −0.0369470
\(375\) −19.2973 + 1.61698i −0.996508 + 0.0835004i
\(376\) −10.5989 −0.546597
\(377\) 9.30807 + 9.30807i 0.479390 + 0.479390i
\(378\) −8.49183 4.95592i −0.436772 0.254905i
\(379\) 35.0765i 1.80176i 0.434069 + 0.900880i \(0.357077\pi\)
−0.434069 + 0.900880i \(0.642923\pi\)
\(380\) 2.84110 + 1.99233i 0.145745 + 0.102205i
\(381\) 30.8571 + 14.4476i 1.58086 + 0.740173i
\(382\) −1.84541 + 1.84541i −0.0944196 + 0.0944196i
\(383\) 12.9866 12.9866i 0.663585 0.663585i −0.292638 0.956223i \(-0.594533\pi\)
0.956223 + 0.292638i \(0.0945332\pi\)
\(384\) −17.2155 8.06044i −0.878523 0.411333i
\(385\) 1.35134 + 7.69545i 0.0688707 + 0.392196i
\(386\) 14.5223i 0.739167i
\(387\) 24.2193 + 2.19512i 1.23113 + 0.111584i
\(388\) 18.5628 + 18.5628i 0.942383 + 0.942383i
\(389\) −25.5841 −1.29717 −0.648583 0.761144i \(-0.724638\pi\)
−0.648583 + 0.761144i \(0.724638\pi\)
\(390\) 8.19584 + 2.21597i 0.415013 + 0.112210i
\(391\) −5.44076 −0.275151
\(392\) −1.66360 1.66360i −0.0840246 0.0840246i
\(393\) 3.77541 1.36747i 0.190444 0.0689796i
\(394\) 14.3524i 0.723063i
\(395\) 0.385991 0.550428i 0.0194213 0.0276950i
\(396\) −4.42023 + 3.68556i −0.222125 + 0.185206i
\(397\) −7.76688 + 7.76688i −0.389808 + 0.389808i −0.874619 0.484811i \(-0.838888\pi\)
0.484811 + 0.874619i \(0.338888\pi\)
\(398\) −12.8608 + 12.8608i −0.644652 + 0.644652i
\(399\) −2.07596 + 4.43382i −0.103928 + 0.221969i
\(400\) −2.57561 7.10748i −0.128780 0.355374i
\(401\) 10.7086i 0.534764i −0.963591 0.267382i \(-0.913842\pi\)
0.963591 0.267382i \(-0.0861585\pi\)
\(402\) −0.910235 2.51305i −0.0453984 0.125339i
\(403\) −12.8167 12.8167i −0.638445 0.638445i
\(404\) 27.4734 1.36685
\(405\) 14.3288 14.1311i 0.712001 0.702178i
\(406\) −7.60650 −0.377504
\(407\) −4.16435 4.16435i −0.206419 0.206419i
\(408\) 1.21096 + 3.34332i 0.0599516 + 0.165519i
\(409\) 3.03648i 0.150144i 0.997178 + 0.0750721i \(0.0239187\pi\)
−0.997178 + 0.0750721i \(0.976081\pi\)
\(410\) 7.99810 1.40449i 0.394998 0.0693627i
\(411\) −11.3247 + 24.1873i −0.558607 + 1.19307i
\(412\) −9.62561 + 9.62561i −0.474220 + 0.474220i
\(413\) −11.6880 + 11.6880i −0.575129 + 0.575129i
\(414\) 9.71984 8.10434i 0.477704 0.398307i
\(415\) 29.7584 5.22566i 1.46078 0.256518i
\(416\) 18.8868i 0.925999i
\(417\) −0.252431 + 0.0914314i −0.0123616 + 0.00447742i
\(418\) −0.585168 0.585168i −0.0286215 0.0286215i
\(419\) 9.77025 0.477308 0.238654 0.971105i \(-0.423294\pi\)
0.238654 + 0.971105i \(0.423294\pi\)
\(420\) 14.7317 8.46092i 0.718831 0.412851i
\(421\) 24.7563 1.20655 0.603273 0.797535i \(-0.293863\pi\)
0.603273 + 0.797535i \(0.293863\pi\)
\(422\) −0.617379 0.617379i −0.0300535 0.0300535i
\(423\) 13.3180 + 1.20708i 0.647545 + 0.0586904i
\(424\) 25.7347i 1.24979i
\(425\) −1.82997 + 3.91004i −0.0887668 + 0.189665i
\(426\) 4.87772 + 2.28379i 0.236326 + 0.110650i
\(427\) 24.6740 24.6740i 1.19406 1.19406i
\(428\) −2.46053 + 2.46053i −0.118934 + 0.118934i
\(429\) 6.34985 + 2.97306i 0.306573 + 0.143541i
\(430\) 6.96688 9.93487i 0.335973 0.479102i
\(431\) 27.8111i 1.33961i 0.742536 + 0.669806i \(0.233623\pi\)
−0.742536 + 0.669806i \(0.766377\pi\)
\(432\) 6.78532 + 3.95999i 0.326459 + 0.190525i
\(433\) 15.2059 + 15.2059i 0.730751 + 0.730751i 0.970769 0.240018i \(-0.0771533\pi\)
−0.240018 + 0.970769i \(0.577153\pi\)
\(434\) 10.4737 0.502755
\(435\) 4.06359 15.0294i 0.194834 0.720603i
\(436\) 21.7767 1.04291
\(437\) −4.45579 4.45579i −0.213149 0.213149i
\(438\) −0.315926 + 0.114429i −0.0150955 + 0.00546765i
\(439\) 10.8149i 0.516167i −0.966123 0.258083i \(-0.916909\pi\)
0.966123 0.258083i \(-0.0830909\pi\)
\(440\) 1.13677 + 6.47352i 0.0541932 + 0.308613i
\(441\) 1.90093 + 2.27986i 0.0905206 + 0.108565i
\(442\) 1.33836 1.33836i 0.0636595 0.0636595i
\(443\) 11.1933 11.1933i 0.531808 0.531808i −0.389302 0.921110i \(-0.627284\pi\)
0.921110 + 0.389302i \(0.127284\pi\)
\(444\) −5.42985 + 11.5970i −0.257689 + 0.550371i
\(445\) −7.83957 5.49754i −0.371631 0.260608i
\(446\) 10.7664i 0.509804i
\(447\) 14.1624 + 39.1007i 0.669859 + 1.84940i
\(448\) −1.67325 1.67325i −0.0790536 0.0790536i
\(449\) 5.98544 0.282470 0.141235 0.989976i \(-0.454893\pi\)
0.141235 + 0.989976i \(0.454893\pi\)
\(450\) −2.55501 9.71108i −0.120444 0.457785i
\(451\) 6.70612 0.315779
\(452\) 16.2824 + 16.2824i 0.765859 + 0.765859i
\(453\) 1.17557 + 3.24560i 0.0552330 + 0.152491i
\(454\) 1.32458i 0.0621657i
\(455\) −16.9454 11.8831i −0.794415 0.557088i
\(456\) −1.74632 + 3.72979i −0.0817791 + 0.174664i
\(457\) 22.5934 22.5934i 1.05687 1.05687i 0.0585908 0.998282i \(-0.481339\pi\)
0.998282 0.0585908i \(-0.0186607\pi\)
\(458\) 1.12714 1.12714i 0.0526678 0.0526678i
\(459\) −1.14087 4.33896i −0.0532513 0.202525i
\(460\) 3.78191 + 21.5368i 0.176333 + 1.00416i
\(461\) 20.0662i 0.934578i −0.884105 0.467289i \(-0.845231\pi\)
0.884105 0.467289i \(-0.154769\pi\)
\(462\) −3.80931 + 1.37975i −0.177225 + 0.0641916i
\(463\) −18.5905 18.5905i −0.863973 0.863973i 0.127824 0.991797i \(-0.459201\pi\)
−0.991797 + 0.127824i \(0.959201\pi\)
\(464\) 6.07791 0.282160
\(465\) −5.59534 + 20.6946i −0.259477 + 0.959689i
\(466\) 2.18423 0.101183
\(467\) 1.40405 + 1.40405i 0.0649715 + 0.0649715i 0.738846 0.673874i \(-0.235371\pi\)
−0.673874 + 0.738846i \(0.735371\pi\)
\(468\) 1.37610 15.1829i 0.0636104 0.701828i
\(469\) 6.51564i 0.300864i
\(470\) 3.83105 5.46313i 0.176713 0.251995i
\(471\) −0.762323 0.356927i −0.0351260 0.0164463i
\(472\) −9.83212 + 9.83212i −0.452560 + 0.452560i
\(473\) 7.08575 7.08575i 0.325803 0.325803i
\(474\) 0.315715 + 0.147821i 0.0145013 + 0.00678963i
\(475\) −4.70086 + 1.70350i −0.215690 + 0.0781618i
\(476\) 3.78730i 0.173591i
\(477\) −2.93086 + 32.3369i −0.134195 + 1.48060i
\(478\) −13.2662 13.2662i −0.606780 0.606780i
\(479\) 8.47526 0.387245 0.193622 0.981076i \(-0.437976\pi\)
0.193622 + 0.981076i \(0.437976\pi\)
\(480\) 19.3705 11.1252i 0.884139 0.507793i
\(481\) 15.6004 0.711317
\(482\) −8.90025 8.90025i −0.405395 0.405395i
\(483\) −29.0062 + 10.5062i −1.31983 + 0.478046i
\(484\) 14.6989i 0.668132i
\(485\) −37.2561 + 6.54227i −1.69171 + 0.297069i
\(486\) 8.50129 + 6.05209i 0.385626 + 0.274528i
\(487\) −7.75672 + 7.75672i −0.351490 + 0.351490i −0.860664 0.509174i \(-0.829951\pi\)
0.509174 + 0.860664i \(0.329951\pi\)
\(488\) 20.7562 20.7562i 0.939587 0.939587i
\(489\) −0.294001 + 0.627927i −0.0132952 + 0.0283958i
\(490\) 1.45881 0.256171i 0.0659024 0.0115726i
\(491\) 16.9767i 0.766149i 0.923717 + 0.383075i \(0.125135\pi\)
−0.923717 + 0.383075i \(0.874865\pi\)
\(492\) −4.96572 13.7097i −0.223872 0.618083i
\(493\) −2.45426 2.45426i −0.110534 0.110534i
\(494\) 2.19214 0.0986292
\(495\) −0.691149 8.26376i −0.0310649 0.371428i
\(496\) −8.36894 −0.375776
\(497\) −9.28390 9.28390i −0.416440 0.416440i
\(498\) 5.33550 + 14.7307i 0.239090 + 0.660098i
\(499\) 17.3252i 0.775582i 0.921747 + 0.387791i \(0.126762\pi\)
−0.921747 + 0.387791i \(0.873238\pi\)
\(500\) 16.7495 + 4.52589i 0.749062 + 0.202404i
\(501\) 13.5029 28.8395i 0.603267 1.28846i
\(502\) 4.18879 4.18879i 0.186955 0.186955i
\(503\) −6.70375 + 6.70375i −0.298905 + 0.298905i −0.840585 0.541680i \(-0.817789\pi\)
0.541680 + 0.840585i \(0.317789\pi\)
\(504\) 12.9120 + 15.4858i 0.575144 + 0.689792i
\(505\) −22.7287 + 32.4114i −1.01141 + 1.44229i
\(506\) 5.21477i 0.231825i
\(507\) 3.70810 1.34309i 0.164682 0.0596486i
\(508\) −21.5860 21.5860i −0.957722 0.957722i
\(509\) −31.6222 −1.40163 −0.700814 0.713344i \(-0.747180\pi\)
−0.700814 + 0.713344i \(0.747180\pi\)
\(510\) −2.16100 0.584285i −0.0956908 0.0258726i
\(511\) 0.819107 0.0362352
\(512\) 11.2504 + 11.2504i 0.497203 + 0.497203i
\(513\) 2.61912 4.48778i 0.115637 0.198141i
\(514\) 12.4962i 0.551182i
\(515\) −3.39245 19.3189i −0.149489 0.851293i
\(516\) −19.7327 9.23903i −0.868683 0.406725i
\(517\) 3.89642 3.89642i 0.171364 0.171364i
\(518\) −6.37428 + 6.37428i −0.280070 + 0.280070i
\(519\) −24.7895 11.6067i −1.08814 0.509476i
\(520\) −14.2547 9.99622i −0.625112 0.438363i
\(521\) 0.589608i 0.0258312i −0.999917 0.0129156i \(-0.995889\pi\)
0.999917 0.0129156i \(-0.00411127\pi\)
\(522\) 8.04028 + 0.728733i 0.351913 + 0.0318958i
\(523\) −6.98240 6.98240i −0.305319 0.305319i 0.537772 0.843091i \(-0.319266\pi\)
−0.843091 + 0.537772i \(0.819266\pi\)
\(524\) −3.59768 −0.157165
\(525\) −2.20579 + 24.3792i −0.0962684 + 1.06399i
\(526\) 16.0146 0.698271
\(527\) 3.37938 + 3.37938i 0.147208 + 0.147208i
\(528\) 3.04380 1.10247i 0.132464 0.0479790i
\(529\) 16.7081i 0.726440i
\(530\) 13.2648 + 9.30198i 0.576185 + 0.404052i
\(531\) 13.4743 11.2348i 0.584735 0.487548i
\(532\) 3.10166 3.10166i 0.134474 0.134474i
\(533\) −12.5612 + 12.5612i −0.544084 + 0.544084i
\(534\) 2.10536 4.49662i 0.0911079 0.194588i
\(535\) −0.867190 4.93837i −0.0374919 0.213504i
\(536\) 5.48104i 0.236745i
\(537\) 13.3797 + 36.9398i 0.577378 + 1.59407i
\(538\) 12.1096 + 12.1096i 0.522082 + 0.522082i
\(539\) 1.22316 0.0526853
\(540\) −16.3823 + 7.53207i −0.704984 + 0.324129i
\(541\) 13.4868 0.579841 0.289921 0.957051i \(-0.406371\pi\)
0.289921 + 0.957051i \(0.406371\pi\)
\(542\) −7.87104 7.87104i −0.338090 0.338090i
\(543\) 8.97875 + 24.7892i 0.385315 + 1.06381i
\(544\) 4.97988i 0.213511i
\(545\) −18.0158 + 25.6908i −0.771712 + 1.10047i
\(546\) 4.55080 9.71957i 0.194756 0.415959i
\(547\) −1.52876 + 1.52876i −0.0653650 + 0.0653650i −0.739034 0.673669i \(-0.764718\pi\)
0.673669 + 0.739034i \(0.264718\pi\)
\(548\) 16.9201 16.9201i 0.722791 0.722791i
\(549\) −28.4450 + 23.7173i −1.21400 + 1.01223i
\(550\) −3.74762 1.75396i −0.159799 0.0747891i
\(551\) 4.01991i 0.171254i
\(552\) −24.4004 + 8.83792i −1.03855 + 0.376167i
\(553\) −0.600909 0.600909i −0.0255533 0.0255533i
\(554\) 0.652591 0.0277259
\(555\) −9.18937 16.0000i −0.390067 0.679162i
\(556\) 0.240547 0.0102015
\(557\) 16.8861 + 16.8861i 0.715486 + 0.715486i 0.967677 0.252191i \(-0.0811512\pi\)
−0.252191 + 0.967677i \(0.581151\pi\)
\(558\) −11.0710 1.00342i −0.468673 0.0424783i
\(559\) 26.5445i 1.12271i
\(560\) −9.41211 + 1.65279i −0.397734 + 0.0698432i
\(561\) −1.67427 0.783908i −0.0706876 0.0330966i
\(562\) −2.48299 + 2.48299i −0.104739 + 0.104739i
\(563\) −0.856707 + 0.856707i −0.0361059 + 0.0361059i −0.724929 0.688823i \(-0.758128\pi\)
0.688823 + 0.724929i \(0.258128\pi\)
\(564\) −10.8509 5.08049i −0.456905 0.213927i
\(565\) −32.6793 + 5.73857i −1.37483 + 0.241423i
\(566\) 4.78600i 0.201170i
\(567\) −14.4609 20.9292i −0.607299 0.878942i
\(568\) −7.80975 7.80975i −0.327690 0.327690i
\(569\) 18.6579 0.782181 0.391090 0.920352i \(-0.372098\pi\)
0.391090 + 0.920352i \(0.372098\pi\)
\(570\) −1.29128 2.24829i −0.0540856 0.0941706i
\(571\) −31.8021 −1.33088 −0.665439 0.746452i \(-0.731756\pi\)
−0.665439 + 0.746452i \(0.731756\pi\)
\(572\) −4.44201 4.44201i −0.185730 0.185730i
\(573\) −6.34879 + 2.29956i −0.265225 + 0.0960653i
\(574\) 10.2649i 0.428449i
\(575\) −28.5365 13.3556i −1.19005 0.556968i
\(576\) 1.60837 + 1.92897i 0.0670153 + 0.0803739i
\(577\) 17.3303 17.3303i 0.721471 0.721471i −0.247434 0.968905i \(-0.579587\pi\)
0.968905 + 0.247434i \(0.0795874\pi\)
\(578\) 7.69430 7.69430i 0.320041 0.320041i
\(579\) 15.9326 34.0287i 0.662135 1.41418i
\(580\) −8.00900 + 11.4209i −0.332556 + 0.474229i
\(581\) 38.1926i 1.58449i
\(582\) −6.67980 18.4421i −0.276886 0.764450i
\(583\) 9.46070 + 9.46070i 0.391822 + 0.391822i
\(584\) 0.689044 0.0285129
\(585\) 16.7733 + 14.1842i 0.693493 + 0.586444i
\(586\) −4.10663 −0.169643
\(587\) −19.7250 19.7250i −0.814140 0.814140i 0.171112 0.985252i \(-0.445264\pi\)
−0.985252 + 0.171112i \(0.945264\pi\)
\(588\) −0.905722 2.50059i −0.0373513 0.103123i
\(589\) 5.53518i 0.228073i
\(590\) −1.51401 8.62179i −0.0623307 0.354953i
\(591\) −15.7461 + 33.6305i −0.647709 + 1.38337i
\(592\) 5.09332 5.09332i 0.209334 0.209334i
\(593\) 1.32956 1.32956i 0.0545985 0.0545985i −0.679280 0.733879i \(-0.737708\pi\)
0.733879 + 0.679280i \(0.237708\pi\)
\(594\) 4.15873 1.09348i 0.170635 0.0448661i
\(595\) 4.46802 + 3.13322i 0.183171 + 0.128449i
\(596\) 37.2600i 1.52623i
\(597\) −44.2450 + 16.0257i −1.81083 + 0.655888i
\(598\) 9.76773 + 9.76773i 0.399432 + 0.399432i
\(599\) 2.51236 0.102652 0.0513260 0.998682i \(-0.483655\pi\)
0.0513260 + 0.998682i \(0.483655\pi\)
\(600\) −1.85554 + 20.5081i −0.0757520 + 0.837240i
\(601\) 8.33544 0.340010 0.170005 0.985443i \(-0.445622\pi\)
0.170005 + 0.985443i \(0.445622\pi\)
\(602\) −10.8460 10.8460i −0.442050 0.442050i
\(603\) 0.624223 6.88720i 0.0254203 0.280469i
\(604\) 3.09281i 0.125844i
\(605\) 17.3408 + 12.1603i 0.705005 + 0.494388i
\(606\) −18.5906 8.70427i −0.755190 0.353587i
\(607\) 7.42195 7.42195i 0.301247 0.301247i −0.540254 0.841502i \(-0.681672\pi\)
0.841502 + 0.540254i \(0.181672\pi\)
\(608\) 4.07834 4.07834i 0.165399 0.165399i
\(609\) −17.8236 8.34515i −0.722247 0.338163i
\(610\) 3.19616 + 18.2011i 0.129409 + 0.736940i
\(611\) 14.5967i 0.590519i
\(612\) −0.362838 + 4.00328i −0.0146669 + 0.161823i
\(613\) 10.0195 + 10.0195i 0.404684 + 0.404684i 0.879880 0.475196i \(-0.157623\pi\)
−0.475196 + 0.879880i \(0.657623\pi\)
\(614\) 5.17827 0.208978
\(615\) 20.2820 + 5.48378i 0.817850 + 0.221127i
\(616\) 8.30824 0.334749
\(617\) −20.9235 20.9235i −0.842346 0.842346i 0.146817 0.989164i \(-0.453097\pi\)
−0.989164 + 0.146817i \(0.953097\pi\)
\(618\) 9.56303 3.46376i 0.384681 0.139333i
\(619\) 7.81431i 0.314084i 0.987592 + 0.157042i \(0.0501958\pi\)
−0.987592 + 0.157042i \(0.949804\pi\)
\(620\) 11.0279 15.7260i 0.442893 0.631571i
\(621\) 31.6669 8.32638i 1.27075 0.334126i
\(622\) 2.55829 2.55829i 0.102578 0.102578i
\(623\) −8.55855 + 8.55855i −0.342891 + 0.342891i
\(624\) −3.63627 + 7.76634i −0.145567 + 0.310902i
\(625\) −19.1962 + 16.0158i −0.767848 + 0.640632i
\(626\) 11.2266i 0.448704i
\(627\) −0.729172 2.01316i −0.0291203 0.0803977i
\(628\) 0.533280 + 0.533280i 0.0212802 + 0.0212802i
\(629\) −4.11337 −0.164011
\(630\) −12.6492 + 1.05793i −0.503955 + 0.0421489i
\(631\) −27.5699 −1.09754 −0.548769 0.835974i \(-0.684903\pi\)
−0.548769 + 0.835974i \(0.684903\pi\)
\(632\) −0.505493 0.505493i −0.0201074 0.0201074i
\(633\) −0.769311 2.12397i −0.0305774 0.0844204i
\(634\) 11.6994i 0.464642i
\(635\) 43.3238 7.60777i 1.71925 0.301905i
\(636\) 12.3357 26.3465i 0.489142 1.04471i
\(637\) −2.29109 + 2.29109i −0.0907764 + 0.0907764i
\(638\) 2.35232 2.35232i 0.0931292 0.0931292i
\(639\) 8.92390 + 10.7028i 0.353024 + 0.423395i
\(640\) −24.1707 + 4.24444i −0.955431 + 0.167776i
\(641\) 41.2338i 1.62864i −0.580419 0.814318i \(-0.697111\pi\)
0.580419 0.814318i \(-0.302889\pi\)
\(642\) 2.44453 0.885419i 0.0964781 0.0349447i
\(643\) −7.44518 7.44518i −0.293609 0.293609i 0.544895 0.838504i \(-0.316569\pi\)
−0.838504 + 0.544895i \(0.816569\pi\)
\(644\) 27.6407 1.08920
\(645\) 27.2244 15.6360i 1.07196 0.615665i
\(646\) −0.578004 −0.0227412
\(647\) −13.2895 13.2895i −0.522463 0.522463i 0.395852 0.918314i \(-0.370449\pi\)
−0.918314 + 0.395852i \(0.870449\pi\)
\(648\) −12.1647 17.6059i −0.477874 0.691625i
\(649\) 7.22906i 0.283765i
\(650\) 10.3050 3.73431i 0.404194 0.146472i
\(651\) 24.5420 + 11.4908i 0.961878 + 0.450360i
\(652\) 0.439263 0.439263i 0.0172029 0.0172029i
\(653\) −33.3866 + 33.3866i −1.30652 + 1.30652i −0.382607 + 0.923911i \(0.624974\pi\)
−0.923911 + 0.382607i \(0.875026\pi\)
\(654\) −14.7357 6.89940i −0.576212 0.269788i
\(655\) 2.97634 4.24431i 0.116295 0.165839i
\(656\) 8.20209i 0.320238i
\(657\) −0.865818 0.0784737i −0.0337788 0.00306155i
\(658\) −5.96416 5.96416i −0.232507 0.232507i
\(659\) 33.7277 1.31384 0.656922 0.753959i \(-0.271858\pi\)
0.656922 + 0.753959i \(0.271858\pi\)
\(660\) −1.93923 + 7.17233i −0.0754845 + 0.279183i
\(661\) −35.5995 −1.38466 −0.692330 0.721581i \(-0.743416\pi\)
−0.692330 + 0.721581i \(0.743416\pi\)
\(662\) 4.89429 + 4.89429i 0.190222 + 0.190222i
\(663\) 4.60438 1.66772i 0.178819 0.0647690i
\(664\) 32.1281i 1.24681i
\(665\) 1.09315 + 6.22514i 0.0423906 + 0.241400i
\(666\) 7.34847 6.12711i 0.284747 0.237421i
\(667\) 17.9119 17.9119i 0.693550 0.693550i
\(668\) −20.1746 + 20.1746i −0.780577 + 0.780577i
\(669\) 11.8119 25.2278i 0.456675 0.975364i
\(670\) −2.82517 1.98116i −0.109146 0.0765390i
\(671\) 15.2609i 0.589142i
\(672\) −9.61619 26.5491i −0.370952 1.02415i
\(673\) −15.1802 15.1802i −0.585155 0.585155i 0.351160 0.936315i \(-0.385787\pi\)
−0.936315 + 0.351160i \(0.885787\pi\)
\(674\) 1.53361 0.0590724
\(675\) 4.66719 25.5581i 0.179640 0.983732i
\(676\) −3.53353 −0.135905
\(677\) 2.69519 + 2.69519i 0.103584 + 0.103584i 0.757000 0.653415i \(-0.226664\pi\)
−0.653415 + 0.757000i \(0.726664\pi\)
\(678\) −5.85920 16.1765i −0.225021 0.621256i
\(679\) 47.8152i 1.83498i
\(680\) 3.75856 + 2.63571i 0.144134 + 0.101075i
\(681\) 1.45321 3.10376i 0.0556871 0.118936i
\(682\) −3.23901 + 3.23901i −0.124028 + 0.124028i
\(683\) 12.8622 12.8622i 0.492160 0.492160i −0.416826 0.908986i \(-0.636858\pi\)
0.908986 + 0.416826i \(0.136858\pi\)
\(684\) −3.57569 + 2.98139i −0.136720 + 0.113996i
\(685\) 5.96333 + 33.9592i 0.227847 + 1.29752i
\(686\) 11.3732i 0.434231i
\(687\) 3.87771 1.40452i 0.147944 0.0535858i
\(688\) 8.66641 + 8.66641i 0.330404 + 0.330404i
\(689\) −35.4415 −1.35021
\(690\) 4.26426 15.7716i 0.162338 0.600413i
\(691\) 28.8037 1.09575 0.547873 0.836562i \(-0.315438\pi\)
0.547873 + 0.836562i \(0.315438\pi\)
\(692\) 17.3414 + 17.3414i 0.659220 + 0.659220i
\(693\) −10.4397 0.946206i −0.396572 0.0359434i
\(694\) 5.37443i 0.204011i
\(695\) −0.199004 + 0.283783i −0.00754865 + 0.0107645i
\(696\) −14.9934 7.02006i −0.568324 0.266095i
\(697\) 3.31201 3.31201i 0.125451 0.125451i
\(698\) −4.98016 + 4.98016i −0.188502 + 0.188502i
\(699\) 5.11809 + 2.39634i 0.193584 + 0.0906378i
\(700\) 9.29681 19.8641i 0.351386 0.750794i
\(701\) 16.1093i 0.608440i 0.952602 + 0.304220i \(0.0983957\pi\)
−0.952602 + 0.304220i \(0.901604\pi\)
\(702\) −5.74149 + 9.83787i −0.216698 + 0.371306i
\(703\) −3.36870 3.36870i −0.127053 0.127053i
\(704\) 1.03491 0.0390046
\(705\) 14.9706 8.59813i 0.563824 0.323824i
\(706\) 13.4490 0.506159
\(707\) 35.3839 + 35.3839i 1.33075 + 1.33075i
\(708\) −14.7788 + 5.35294i −0.555422 + 0.201176i
\(709\) 45.8917i 1.72350i −0.507334 0.861750i \(-0.669369\pi\)
0.507334 0.861750i \(-0.330631\pi\)
\(710\) 6.84837 1.20259i 0.257015 0.0451325i
\(711\) 0.577607 + 0.692746i 0.0216620 + 0.0259800i
\(712\) −7.19957 + 7.19957i −0.269815 + 0.269815i
\(713\) −24.6636 + 24.6636i −0.923660 + 0.923660i
\(714\) −1.19991 + 2.56277i −0.0449055 + 0.0959091i
\(715\) 8.91525 1.56554i 0.333412 0.0585480i
\(716\) 35.2008i 1.31552i
\(717\) −16.5308 45.6397i −0.617356 1.70444i
\(718\) 9.62846 + 9.62846i 0.359331 + 0.359331i
\(719\) −37.9926 −1.41688 −0.708442 0.705769i \(-0.750602\pi\)
−0.708442 + 0.705769i \(0.750602\pi\)
\(720\) 10.1072 0.845328i 0.376673 0.0315035i
\(721\) −24.7943 −0.923387
\(722\) −0.473364 0.473364i −0.0176168 0.0176168i
\(723\) −11.0905 30.6196i −0.412461 1.13875i
\(724\) 23.6222i 0.877914i
\(725\) −6.84790 18.8970i −0.254325 0.701818i
\(726\) −4.65698 + 9.94636i −0.172837 + 0.369144i
\(727\) −7.82716 + 7.82716i −0.290293 + 0.290293i −0.837196 0.546903i \(-0.815807\pi\)
0.546903 + 0.837196i \(0.315807\pi\)
\(728\) −15.5621 + 15.5621i −0.576769 + 0.576769i
\(729\) 13.2804 + 23.5081i 0.491867 + 0.870670i
\(730\) −0.249060 + 0.355163i −0.00921812 + 0.0131452i
\(731\) 6.99900i 0.258868i
\(732\) 31.1989 11.3004i 1.15315 0.417673i
\(733\) −11.0512 11.0512i −0.408184 0.408184i 0.472921 0.881105i \(-0.343200\pi\)
−0.881105 + 0.472921i \(0.843200\pi\)
\(734\) −21.6616 −0.799546
\(735\) 3.69934 + 1.00021i 0.136452 + 0.0368935i
\(736\) 36.3445 1.33968
\(737\) −2.01497 2.01497i −0.0742223 0.0742223i
\(738\) −0.983419 + 10.8503i −0.0362002 + 0.399405i
\(739\) 25.5905i 0.941360i −0.882304 0.470680i \(-0.844009\pi\)
0.882304 0.470680i \(-0.155991\pi\)
\(740\) 2.85923 + 16.2824i 0.105107 + 0.598552i
\(741\) 5.13663 + 2.40502i 0.188699 + 0.0883505i
\(742\) 14.4813 14.4813i 0.531625 0.531625i
\(743\) −28.2035 + 28.2035i −1.03469 + 1.03469i −0.0353103 + 0.999376i \(0.511242\pi\)
−0.999376 + 0.0353103i \(0.988758\pi\)
\(744\) 20.6451 + 9.66623i 0.756886 + 0.354381i
\(745\) 43.9570 + 30.8251i 1.61046 + 1.12934i
\(746\) 2.84344i 0.104106i
\(747\) −3.65900 + 40.3705i −0.133876 + 1.47708i
\(748\) 1.17123 + 1.17123i 0.0428243 + 0.0428243i
\(749\) −6.33800 −0.231585
\(750\) −9.90006 8.36922i −0.361499 0.305601i
\(751\) 0.279654 0.0102047 0.00510237 0.999987i \(-0.498376\pi\)
0.00510237 + 0.999987i \(0.498376\pi\)
\(752\) 4.76561 + 4.76561i 0.173784 + 0.173784i
\(753\) 14.4107 5.21962i 0.525157 0.190214i
\(754\) 8.81221i 0.320922i
\(755\) 3.64870 + 2.55867i 0.132790 + 0.0931194i
\(756\) 5.79596 + 22.0432i 0.210797 + 0.801704i
\(757\) −18.4376 + 18.4376i −0.670127 + 0.670127i −0.957745 0.287619i \(-0.907136\pi\)
0.287619 + 0.957745i \(0.407136\pi\)
\(758\) −16.6040 + 16.6040i −0.603083 + 0.603083i
\(759\) 5.72116 12.2192i 0.207665 0.443530i
\(760\) 0.919574 + 5.23667i 0.0333564 + 0.189954i
\(761\) 6.41803i 0.232653i 0.993211 + 0.116327i \(0.0371120\pi\)
−0.993211 + 0.116327i \(0.962888\pi\)
\(762\) 7.76768 + 21.4456i 0.281394 + 0.776893i
\(763\) 28.0469 + 28.0469i 1.01537 + 1.01537i
\(764\) 6.04991 0.218878
\(765\) −4.42264 3.73995i −0.159901 0.135218i
\(766\) 12.2948 0.444229
\(767\) 13.5407 + 13.5407i 0.488925 + 0.488925i
\(768\) −5.32128 14.6914i −0.192015 0.530131i
\(769\) 16.3499i 0.589591i −0.955560 0.294795i \(-0.904749\pi\)
0.955560 0.294795i \(-0.0952515\pi\)
\(770\) −3.00307 + 4.28243i −0.108223 + 0.154328i
\(771\) 13.7096 29.2810i 0.493741