Properties

Label 285.2.k.c.77.6
Level $285$
Weight $2$
Character 285.77
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 77.6
Character \(\chi\) \(=\) 285.77
Dual form 285.2.k.c.248.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.473364 + 0.473364i) q^{2} +(1.62852 - 0.589855i) q^{3} +1.55185i q^{4} +(-1.83078 + 1.28384i) q^{5} +(-0.491666 + 1.05010i) q^{6} +(1.99868 + 1.99868i) q^{7} +(-1.68132 - 1.68132i) q^{8} +(2.30414 - 1.92118i) q^{9} +O(q^{10})\) \(q+(-0.473364 + 0.473364i) q^{2} +(1.62852 - 0.589855i) 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} +(0.915368 + 2.52722i) q^{12} +(-2.31549 + 2.31549i) q^{13} -1.89221 q^{14} +(-2.22417 + 3.17065i) q^{15} -1.51195 q^{16} +(-0.610528 + 0.610528i) q^{17} +(-0.181281 + 2.00012i) 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} +(2.61912 - 4.48778i) q^{27} +(-3.10166 + 3.10166i) q^{28} +4.01991 q^{29} +(-0.448030 - 2.55372i) q^{30} +5.53518 q^{31} +(4.07834 - 4.07834i) q^{32} +(0.729172 + 2.01316i) 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} +(-3.08150 + 1.11613i) q^{42} +(-5.73193 + 5.73193i) q^{43} -1.91838 q^{44} +(-1.75188 + 6.47541i) q^{45} -4.21842 q^{46} +(3.15196 - 3.15196i) q^{47} +(-2.46224 + 0.891833i) 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} +(-0.589855 - 1.62852i) q^{57} +(-1.90288 + 1.90288i) q^{58} +5.84786 q^{59} +(-4.92039 - 3.45159i) q^{60} +12.3452 q^{61} +(-2.62016 + 2.62016i) q^{62} +(8.44507 + 0.765422i) 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} +(-7.10412 - 0.643884i) q^{72} +(0.204912 - 0.204912i) q^{73} +3.18924 q^{74} +(0.00134886 - 8.66025i) q^{75} +1.55185 q^{76} +(-2.47075 + 2.47075i) q^{77} +(-1.29305 - 3.56994i) 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} +(6.54649 - 2.37116i) q^{87} +(2.07843 - 2.07843i) q^{88} +4.28210 q^{89} +(-2.23595 - 3.89450i) q^{90} -9.25587 q^{91} +(-6.91473 + 6.91473i) q^{92} +(9.01415 - 3.26496i) 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 \(\left(\mathbb{Z}/285\mathbb{Z}\right)^\times\).

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

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 \(-0.826060\pi\)
0.519656 + 0.854375i \(0.326060\pi\)
\(3\) 1.62852 0.589855i 0.940225 0.340553i
\(4\) 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 0.975487 0.220056i \(-0.0706241\pi\)
−0.220056 + 0.975487i \(0.570624\pi\)
\(8\) −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 \(0.940330\pi\)
\(12\) 0.915368 + 2.52722i 0.264244 + 0.729546i
\(13\) −2.31549 + 2.31549i −0.642202 + 0.642202i −0.951096 0.308894i \(-0.900041\pi\)
0.308894 + 0.951096i \(0.400041\pi\)
\(14\) −1.89221 −0.505714
\(15\) −2.22417 + 3.17065i −0.574279 + 0.818659i
\(16\) −1.51195 −0.377988
\(17\) −0.610528 + 0.610528i −0.148075 + 0.148075i −0.777257 0.629183i \(-0.783390\pi\)
0.629183 + 0.777257i \(0.283390\pi\)
\(18\) −0.181281 + 2.00012i −0.0427283 + 0.471432i
\(19\) 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 \(-0.0218377\pi\)
−0.0685512 + 0.997648i \(0.521838\pi\)
\(24\) −3.72979 1.74632i −0.761341 0.356467i
\(25\) 1.70350 4.70086i 0.340699 0.940172i
\(26\) 2.19214i 0.429915i
\(27\) 2.61912 4.48778i 0.504050 0.863675i
\(28\) −3.10166 + 3.10166i −0.586159 + 0.586159i
\(29\) 4.01991 0.746478 0.373239 0.927735i \(-0.378247\pi\)
0.373239 + 0.927735i \(0.378247\pi\)
\(30\) −0.448030 2.55372i −0.0817986 0.466243i
\(31\) 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
\(33\) 0.729172 + 2.01316i 0.126933 + 0.350446i
\(34\) 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 0.373728 0.927538i \(-0.378079\pi\)
−0.927538 + 0.373728i \(0.878079\pi\)
\(38\) 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 \(-0.139237\pi\)
\(42\) −3.08150 + 1.11613i −0.475485 + 0.172222i
\(43\) −5.73193 + 5.73193i −0.874111 + 0.874111i −0.992917 0.118806i \(-0.962093\pi\)
0.118806 + 0.992917i \(0.462093\pi\)
\(44\) −1.91838 −0.289207
\(45\) −1.75188 + 6.47541i −0.261155 + 0.965297i
\(46\) −4.21842 −0.621972
\(47\) 3.15196 3.15196i 0.459760 0.459760i −0.438816 0.898577i \(-0.644602\pi\)
0.898577 + 0.438816i \(0.144602\pi\)
\(48\) −2.46224 + 0.891833i −0.355394 + 0.128725i
\(49\) 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 −0.998614 0.0526223i \(-0.983242\pi\)
−0.0526223 0.998614i \(-0.516758\pi\)
\(54\) 0.884559 + 3.36415i 0.120373 + 0.457803i
\(55\) −1.58707 2.26319i −0.214001 0.305168i
\(56\) 6.72085i 0.898111i
\(57\) −0.589855 1.62852i −0.0781282 0.215702i
\(58\) −1.90288 + 1.90288i −0.249860 + 0.249860i
\(59\) 5.84786 0.761326 0.380663 0.924714i \(-0.375696\pi\)
0.380663 + 0.924714i \(0.375696\pi\)
\(60\) −4.92039 3.45159i −0.635219 0.445599i
\(61\) 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
\(63\) 8.44507 + 0.765422i 1.06398 + 0.0964341i
\(64\) 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 0.600495 0.799629i \(-0.294970\pi\)
−0.799629 + 0.600495i \(0.794970\pi\)
\(68\) −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 \(-0.0888867\pi\)
\(72\) −7.10412 0.643884i −0.837228 0.0758824i
\(73\) 0.204912 0.204912i 0.0239831 0.0239831i −0.695014 0.718997i \(-0.744602\pi\)
0.718997 + 0.695014i \(0.244602\pi\)
\(74\) 3.18924 0.370742
\(75\) 0.00134886 8.66025i 0.000155752 1.00000i
\(76\) 1.55185 0.178010
\(77\) −2.47075 + 2.47075i −0.281568 + 0.281568i
\(78\) −1.29305 3.56994i −0.146409 0.404217i
\(79\) 0.300653i 0.0338261i 0.999857 + 0.0169130i \(0.00538384\pi\)
−0.999857 + 0.0169130i \(0.994616\pi\)
\(80\) 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 −0.998750 0.0499853i \(-0.984083\pi\)
−0.0499853 0.998750i \(-0.515917\pi\)
\(84\) −3.22158 + 6.88064i −0.351503 + 0.750739i
\(85\) 0.333919 1.90156i 0.0362186 0.206253i
\(86\) 5.42658i 0.585163i
\(87\) 6.54649 2.37116i 0.701857 0.254215i
\(88\) 2.07843 2.07843i 0.221561 0.221561i
\(89\) 4.28210 0.453901 0.226951 0.973906i \(-0.427124\pi\)
0.226951 + 0.973906i \(0.427124\pi\)
\(90\) −2.23595 3.89450i −0.235690 0.410517i
\(91\) −9.25587 −0.970279
\(92\) −6.91473 + 6.91473i −0.720910 + 0.720910i
\(93\) 9.01415 3.26496i 0.934724 0.338560i
\(94\) 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 −0.969522 0.245004i \(-0.921211\pi\)
−0.245004 0.969522i \(-0.578789\pi\)
\(98\) −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 \(0.657013\pi\)
\(102\) −0.340938 0.941289i −0.0337579 0.0932015i
\(103\) −6.20265 + 6.20265i −0.611166 + 0.611166i −0.943250 0.332084i \(-0.892248\pi\)
0.332084 + 0.943250i \(0.392248\pi\)
\(104\) 7.78617 0.763497
\(105\) −10.7825 + 1.89171i −1.05227 + 0.184612i
\(106\) 7.24542 0.703738
\(107\) 1.58554 1.58554i 0.153280 0.153280i −0.626301 0.779581i \(-0.715432\pi\)
0.779581 + 0.626301i \(0.215432\pi\)
\(108\) 6.96438 + 4.06449i 0.670148 + 0.391106i
\(109\) 14.0327i 1.34409i −0.740510 0.672045i \(-0.765416\pi\)
0.740510 0.672045i \(-0.234584\pi\)
\(110\) 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 \(-0.00410371\pi\)
−0.0128918 + 0.999917i \(0.504104\pi\)
\(114\) 1.05010 + 0.491666i 0.0983507 + 0.0460487i
\(115\) −13.8781 2.43703i −1.29414 0.227254i
\(116\) 6.23830i 0.579212i
\(117\) −0.886749 + 9.78370i −0.0819800 + 0.904504i
\(118\) −2.76817 + 2.76817i −0.254830 + 0.254830i
\(119\) −2.44050 −0.223720
\(120\) 9.07043 1.59134i 0.828013 0.145268i
\(121\) 9.47184 0.861076
\(122\) −5.84375 + 5.84375i −0.529069 + 0.529069i
\(123\) −3.19986 8.83444i −0.288522 0.796574i
\(124\) 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 0.962298 + 0.271998i \(0.0876843\pi\)
0.271998 + 0.962298i \(0.412316\pi\)
\(128\) 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 \(-0.0322925\pi\)
\(132\) −3.12412 + 1.13157i −0.271920 + 0.0984904i
\(133\) 1.99868 1.99868i 0.173308 0.173308i
\(134\) 1.54315 0.133308
\(135\) 0.966581 + 11.5787i 0.0831900 + 0.996534i
\(136\) 2.05298 0.176042
\(137\) −10.9032 + 10.9032i −0.931520 + 0.931520i −0.997801 0.0662808i \(-0.978887\pi\)
0.0662808 + 0.997801i \(0.478887\pi\)
\(138\) −6.86978 + 2.48826i −0.584794 + 0.211815i
\(139\) 0.155007i 0.0131475i −0.999978 0.00657374i \(-0.997907\pi\)
0.999978 0.00657374i \(-0.00209250\pi\)
\(140\) 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
\(147\) 0.583639 + 1.61136i 0.0481377 + 0.132902i
\(148\) 5.22773 5.22773i 0.429716 0.429716i
\(149\) −24.0100 −1.96698 −0.983488 0.180975i \(-0.942075\pi\)
−0.983488 + 0.180975i \(0.942075\pi\)
\(150\) 4.09881 + 4.10009i 0.334667 + 0.334771i
\(151\) 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
\(153\) −0.233810 + 2.57967i −0.0189024 + 0.208554i
\(154\) 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 0.693261 0.720687i \(-0.256173\pi\)
−0.720687 + 0.693261i \(0.756173\pi\)
\(158\) −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
\(162\) 3.42488 + 4.95682i 0.269084 + 0.389445i
\(163\) 0.283057 0.283057i 0.0221708 0.0221708i −0.695935 0.718105i \(-0.745010\pi\)
0.718105 + 0.695935i \(0.245010\pi\)
\(164\) 8.41854 0.657378
\(165\) −3.91953 2.74950i −0.305135 0.214048i
\(166\) 9.04545 0.702063
\(167\) 13.0003 13.0003i 1.00599 1.00599i 0.00601214 0.999982i \(-0.498086\pi\)
0.999982 0.00601214i \(-0.00191374\pi\)
\(168\) −3.96433 10.9450i −0.305854 0.844427i
\(169\) 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 \(-0.0448681\pi\)
−0.140491 + 0.990082i \(0.544868\pi\)
\(174\) −1.97645 + 4.22130i −0.149834 + 0.320016i
\(175\) 12.8003 5.99078i 0.967610 0.452860i
\(176\) 1.86906i 0.140886i
\(177\) 9.52334 3.44939i 0.715818 0.259272i
\(178\) −2.02699 + 2.02699i −0.151929 + 0.151929i
\(179\) −22.6831 −1.69541 −0.847707 0.530465i \(-0.822018\pi\)
−0.847707 + 0.530465i \(0.822018\pi\)
\(180\) −10.0489 2.71866i −0.748999 0.202637i
\(181\) 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
\(183\) 20.1043 7.28185i 1.48615 0.538290i
\(184\) 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 \(0.954954\pi\)
\(192\) 0.493813 + 1.36336i 0.0356379 + 0.0983918i
\(193\) −15.3395 + 15.3395i −1.10416 + 1.10416i −0.110257 + 0.993903i \(0.535167\pi\)
−0.993903 + 0.110257i \(0.964833\pi\)
\(194\) 11.3245 0.813050
\(195\) −2.19157 12.4917i −0.156941 0.894549i
\(196\) −1.53550 −0.109679
\(197\) −15.1600 + 15.1600i −1.08010 + 1.08010i −0.0836049 + 0.996499i \(0.526643\pi\)
−0.996499 + 0.0836049i \(0.973357\pi\)
\(198\) −2.47252 0.224098i −0.175714 0.0159259i
\(199\) 27.1689i 1.92595i −0.269590 0.962975i \(-0.586888\pi\)
0.269590 0.962975i \(-0.413112\pi\)
\(200\) −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
\(207\) 18.8271 + 1.70640i 1.30858 + 0.118603i
\(208\) 3.50092 3.50092i 0.242745 0.242745i
\(209\) 1.23619 0.0855090
\(210\) 4.20860 5.99954i 0.290421 0.414008i
\(211\) −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
\(213\) −2.73988 7.56448i −0.187734 0.518310i
\(214\) 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
\(222\) 5.19374 1.88119i 0.348581 0.126257i
\(223\) −11.3722 + 11.3722i −0.761540 + 0.761540i −0.976601 0.215060i \(-0.931005\pi\)
0.215060 + 0.976601i \(0.431005\pi\)
\(224\) 16.3026 1.08927
\(225\) −5.10610 14.1042i −0.340406 0.940278i
\(226\) −9.93328 −0.660752
\(227\) 1.39911 1.39911i 0.0928625 0.0928625i −0.659149 0.752012i \(-0.729084\pi\)
0.752012 + 0.659149i \(0.229084\pi\)
\(228\) 2.52722 0.915368i 0.167369 0.0606217i
\(229\) 2.38113i 0.157349i 0.996900 + 0.0786746i \(0.0250688\pi\)
−0.996900 + 0.0786746i \(0.974931\pi\)
\(230\) 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 \(-0.284085\pi\)
−0.778629 + 0.627484i \(0.784085\pi\)
\(234\) −4.21150 5.05101i −0.275314 0.330195i
\(235\) −1.72392 + 9.81716i −0.112456 + 0.640401i
\(236\) 9.07501i 0.590733i
\(237\) 0.177341 + 0.489618i 0.0115196 + 0.0318041i
\(238\) 1.15525 1.15525i 0.0748835 0.0748835i
\(239\) 28.0253 1.81280 0.906402 0.422416i \(-0.138818\pi\)
0.906402 + 0.422416i \(0.138818\pi\)
\(240\) 3.36285 4.79388i 0.217071 0.309444i
\(241\) −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
\(243\) −2.58701 15.3723i −0.165957 0.986133i
\(244\) 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 \(-0.0900930\pi\)
\(252\) −1.18782 + 13.1055i −0.0748257 + 0.825570i
\(253\) −5.50820 + 5.50820i −0.346298 + 0.346298i
\(254\) −13.1688 −0.826284
\(255\) −0.577852 3.29369i −0.0361865 0.206259i
\(256\) −9.02134 −0.563834
\(257\) 13.1993 13.1993i 0.823350 0.823350i −0.163236 0.986587i \(-0.552193\pi\)
0.986587 + 0.163236i \(0.0521934\pi\)
\(258\) −3.20090 8.83729i −0.199279 0.550185i
\(259\) 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 −0.999030 0.0440408i \(-0.985977\pi\)
−0.0440408 0.999030i \(-0.514023\pi\)
\(264\) 2.15879 4.61073i 0.132864 0.283771i
\(265\) 23.8366 + 4.18576i 1.46427 + 0.257129i
\(266\) 1.89221i 0.116019i
\(267\) 6.97347 2.52582i 0.426770 0.154577i
\(268\) 2.52949 2.52949i 0.154513 0.154513i
\(269\) −25.5820 −1.55976 −0.779881 0.625927i \(-0.784721\pi\)
−0.779881 + 0.625927i \(0.784721\pi\)
\(270\) −5.93847 5.02338i −0.361404 0.305713i
\(271\) −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
\(273\) −15.0734 + 5.45962i −0.912281 + 0.330431i
\(274\) 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 0.727512 0.686095i \(-0.240677\pi\)
−0.686095 + 0.727512i \(0.740677\pi\)
\(278\) 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 \(0.949993\pi\)
\(282\) 1.76016 + 4.85958i 0.104816 + 0.289384i
\(283\) 5.05530 5.05530i 0.300507 0.300507i −0.540705 0.841212i \(-0.681843\pi\)
0.841212 + 0.540705i \(0.181843\pi\)
\(284\) 7.20837 0.427738
\(285\) 3.17065 + 2.22417i 0.187813 + 0.131749i
\(286\) 2.70990 0.160240
\(287\) 10.8425 10.8425i 0.640013 0.640013i
\(288\) 1.56186 17.2323i 0.0920332 1.01542i
\(289\) 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 \(-0.192653\pi\)
−0.568956 + 0.822368i \(0.692653\pi\)
\(294\) −1.03903 0.486485i −0.0605976 0.0283724i
\(295\) −10.7061 + 7.50773i −0.623335 + 0.437117i
\(296\) 11.3277i 0.658410i
\(297\) 5.54775 + 3.23773i 0.321913 + 0.187872i
\(298\) 11.3655 11.3655i 0.658384 0.658384i
\(299\) −20.6347 −1.19334
\(300\) 13.4394 + 0.00209323i 0.775926 + 0.000120852i
\(301\) −22.9126 −1.32066
\(302\) −0.943403 + 0.943403i −0.0542868 + 0.0542868i
\(303\) 10.4426 + 28.8307i 0.599910 + 1.65628i
\(304\) 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 0.845749 0.533580i \(-0.179154\pi\)
−0.533580 + 0.845749i \(0.679154\pi\)
\(308\) −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 \(-0.0489676\pi\)
\(312\) 12.6799 4.59271i 0.717859 0.260011i
\(313\) 11.8583 11.8583i 0.670271 0.670271i −0.287508 0.957778i \(-0.592827\pi\)
0.957778 + 0.287508i \(0.0928267\pi\)
\(314\) 0.325334 0.0183597
\(315\) −16.4437 + 9.44083i −0.926500 + 0.531930i
\(316\) −0.466569 −0.0262465
\(317\) −12.3577 + 12.3577i −0.694078 + 0.694078i −0.963127 0.269049i \(-0.913291\pi\)
0.269049 + 0.963127i \(0.413291\pi\)
\(318\) 11.7993 4.27375i 0.661672 0.239660i
\(319\) 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
\(327\) −8.27726 22.8525i −0.457734 1.26375i
\(328\) −9.12088 + 9.12088i −0.503616 + 0.503616i
\(329\) 12.5995 0.694635
\(330\) 3.15688 0.553849i 0.173780 0.0304884i
\(331\) 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
\(333\) −14.2338 1.29009i −0.780009 0.0706964i
\(334\) 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 0.749850 0.661608i \(-0.230126\pi\)
−0.661608 + 0.749850i \(0.730126\pi\)
\(338\) −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
\(342\) 2.00012 + 0.181281i 0.108154 + 0.00980256i
\(343\) 12.0132 12.0132i 0.648649 0.648649i
\(344\) 19.2744 1.03921
\(345\) −24.0382 + 4.21732i −1.29417 + 0.227053i
\(346\) −10.5793 −0.568748
\(347\) 5.67684 5.67684i 0.304749 0.304749i −0.538120 0.842869i \(-0.680865\pi\)
0.842869 + 0.538120i \(0.180865\pi\)
\(348\) 3.67969 + 10.1592i 0.197252 + 0.544590i
\(349\) 10.5208i 0.563165i −0.959537 0.281582i \(-0.909141\pi\)
0.959537 0.281582i \(-0.0908592\pi\)
\(350\) −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 \(-0.429553\pi\)
−0.975609 + 0.219514i \(0.929553\pi\)
\(354\) −2.87519 + 6.14082i −0.152815 + 0.326381i
\(355\) 5.96346 + 8.50398i 0.316508 + 0.451345i
\(356\) 6.64518i 0.352194i
\(357\) −3.97440 + 1.43954i −0.210348 + 0.0761886i
\(358\) 10.7374 10.7374i 0.567487 0.567487i
\(359\) −20.3405 −1.07353 −0.536765 0.843732i \(-0.680354\pi\)
−0.536765 + 0.843732i \(0.680354\pi\)
\(360\) 13.8327 7.94176i 0.729048 0.418567i
\(361\) −1.00000 −0.0526316
\(362\) −7.20553 + 7.20553i −0.378714 + 0.378714i
\(363\) 15.4251 5.58701i 0.809605 0.293242i
\(364\) 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 −0.975832 0.218522i \(-0.929876\pi\)
−0.218522 0.975832i \(-0.570124\pi\)
\(368\) −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
\(372\) 5.06673 + 13.9886i 0.262698 + 0.725277i
\(373\) −3.00344 + 3.00344i −0.155512 + 0.155512i −0.780575 0.625062i \(-0.785073\pi\)
0.625062 + 0.780575i \(0.285073\pi\)
\(374\) 0.714522 0.0369470
\(375\) 11.1159 + 15.8567i 0.574024 + 0.818838i
\(376\) −10.5989 −0.546597
\(377\) −9.30807 + 9.30807i −0.479390 + 0.479390i
\(378\) −4.95592 + 8.49183i −0.254905 + 0.436772i
\(379\) 35.0765i 1.80176i −0.434069 0.900880i \(-0.642923\pi\)
0.434069 0.900880i \(-0.357077\pi\)
\(380\) −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 \(-0.405467\pi\)
−0.956223 + 0.292638i \(0.905467\pi\)
\(384\) 17.2155 + 8.06044i 0.878523 + 0.411333i
\(385\) 1.35134 7.69545i 0.0688707 0.392196i
\(386\) 14.5223i 0.739167i
\(387\) −2.19512 + 24.2193i −0.111584 + 1.23113i
\(388\) 18.5628 18.5628i 0.942383 0.942383i
\(389\) 25.5841 1.29717 0.648583 0.761144i \(-0.275362\pi\)
0.648583 + 0.761144i \(0.275362\pi\)
\(390\) 6.95053 + 4.87571i 0.351954 + 0.246891i
\(391\) −5.44076 −0.275151
\(392\) 1.66360 1.66360i 0.0840246 0.0840246i
\(393\) −1.36747 3.77541i −0.0689796 0.190444i
\(394\) 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 0.484811 0.874619i \(-0.338888\pi\)
−0.874619 + 0.484811i \(0.838888\pi\)
\(398\) 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 \(-0.0861585\pi\)
\(402\) 2.51305 0.910235i 0.125339 0.0453984i
\(403\) −12.8167 + 12.8167i −0.638445 + 0.638445i
\(404\) −27.4734 −1.36685
\(405\) 8.40383 + 18.2859i 0.417590 + 0.908636i
\(406\) −7.60650 −0.377504
\(407\) 4.16435 4.16435i 0.206419 0.206419i
\(408\) 3.34332 1.21096i 0.165519 0.0599516i
\(409\) 3.03648i 0.150144i −0.997178 0.0750721i \(-0.976081\pi\)
0.997178 0.0750721i \(-0.0239187\pi\)
\(410\) −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
\(417\) −0.0914314 0.252431i −0.00447742 0.0123616i
\(418\) −0.585168 + 0.585168i −0.0286215 + 0.0286215i
\(419\) −9.77025 −0.477308 −0.238654 0.971105i \(-0.576706\pi\)
−0.238654 + 0.971105i \(0.576706\pi\)
\(420\) −2.93566 16.7329i −0.143246 0.816483i
\(421\) 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
\(423\) 1.20708 13.3180i 0.0586904 0.647545i
\(424\) 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 \(0.766377\pi\)
\(432\) −3.95999 + 6.78532i −0.190525 + 0.326459i
\(433\) 15.2059 15.2059i 0.730751 0.730751i −0.240018 0.970769i \(-0.577153\pi\)
0.970769 + 0.240018i \(0.0771533\pi\)
\(434\) −10.4737 −0.502755
\(435\) −8.94097 + 12.7457i −0.428687 + 0.611111i
\(436\) 21.7767 1.04291
\(437\) 4.45579 4.45579i 0.213149 0.213149i
\(438\) 0.114429 + 0.315926i 0.00546765 + 0.0150955i
\(439\) 10.8149i 0.516167i 0.966123 + 0.258083i \(0.0830909\pi\)
−0.966123 + 0.258083i \(0.916909\pi\)
\(440\) −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 \(-0.372716\pi\)
−0.921110 + 0.389302i \(0.872716\pi\)
\(444\) 5.42985 11.5970i 0.257689 0.550371i
\(445\) −7.83957 + 5.49754i −0.371631 + 0.260608i
\(446\) 10.7664i 0.509804i
\(447\) −39.1007 + 14.1624i −1.84940 + 0.669859i
\(448\) −1.67325 + 1.67325i −0.0790536 + 0.0790536i
\(449\) −5.98544 −0.282470 −0.141235 0.989976i \(-0.545107\pi\)
−0.141235 + 0.989976i \(0.545107\pi\)
\(450\) 9.09345 + 4.25937i 0.428670 + 0.200788i
\(451\) 6.70612 0.315779
\(452\) −16.2824 + 16.2824i −0.765859 + 0.765859i
\(453\) 3.24560 1.17557i 0.152491 0.0552330i
\(454\) 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 0.998282 + 0.0585908i \(0.0186607\pi\)
0.0585908 + 0.998282i \(0.481339\pi\)
\(458\) −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 \(-0.154769\pi\)
\(462\) −1.37975 3.80931i −0.0641916 0.177225i
\(463\) −18.5905 + 18.5905i −0.863973 + 0.863973i −0.991797 0.127824i \(-0.959201\pi\)
0.127824 + 0.991797i \(0.459201\pi\)
\(464\) −6.07791 −0.282160
\(465\) −12.3112 + 17.5502i −0.570919 + 0.813869i
\(466\) 2.18423 0.101183
\(467\) −1.40405 + 1.40405i −0.0649715 + 0.0649715i −0.738846 0.673874i \(-0.764629\pi\)
0.673874 + 0.738846i \(0.264629\pi\)
\(468\) −15.1829 1.37610i −0.701828 0.0636104i
\(469\) 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
\(477\) −32.3369 2.93086i −1.48060 0.134195i
\(478\) −13.2662 + 13.2662i −0.606780 + 0.606780i
\(479\) −8.47526 −0.387245 −0.193622 0.981076i \(-0.562024\pi\)
−0.193622 + 0.981076i \(0.562024\pi\)
\(480\) 3.86007 + 22.0020i 0.176187 + 1.00425i
\(481\) 15.6004 0.711317
\(482\) 8.90025 8.90025i 0.405395 0.405395i
\(483\) 10.5062 + 29.0062i 0.478046 + 1.31983i
\(484\) 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 0.509174 0.860664i \(-0.329951\pi\)
−0.860664 + 0.509174i \(0.829951\pi\)
\(488\) −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 \(0.874865\pi\)
\(492\) 13.7097 4.96572i 0.618083 0.223872i
\(493\) −2.45426 + 2.45426i −0.110534 + 0.110534i
\(494\) −2.19214 −0.0986292
\(495\) −8.00483 2.16566i −0.359790 0.0973391i
\(496\) −8.36894 −0.375776
\(497\) 9.28390 9.28390i 0.416440 0.416440i
\(498\) 14.7307 5.33550i 0.660098 0.239090i
\(499\) 17.3252i 0.775582i −0.921747 0.387791i \(-0.873238\pi\)
0.921747 0.387791i \(-0.126762\pi\)
\(500\) −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 \(-0.182211\pi\)
−0.541680 + 0.840585i \(0.682211\pi\)
\(504\) −12.9120 15.4858i −0.575144 0.689792i
\(505\) −22.7287 32.4114i −1.01141 1.44229i
\(506\) 5.21477i 0.231825i
\(507\) 1.34309 + 3.70810i 0.0596486 + 0.164682i
\(508\) −21.5860 + 21.5860i −0.957722 + 0.957722i
\(509\) 31.6222 1.40163 0.700814 0.713344i \(-0.252820\pi\)
0.700814 + 0.713344i \(0.252820\pi\)
\(510\) 1.83265 + 1.28558i 0.0811511 + 0.0569265i
\(511\) 0.819107 0.0362352
\(512\) −11.2504 + 11.2504i −0.497203 + 0.497203i
\(513\) −4.48778 2.61912i −0.198141 0.115637i
\(514\) 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 \(-0.00411127\pi\)
\(522\) −0.728733 + 8.04028i −0.0318958 + 0.351913i
\(523\) −6.98240 + 6.98240i −0.305319 + 0.305319i −0.843091 0.537772i \(-0.819266\pi\)
0.537772 + 0.843091i \(0.319266\pi\)
\(524\) 3.59768 0.157165
\(525\) 17.3118 17.3064i 0.755549 0.755313i
\(526\) 16.0146 0.698271
\(527\) −3.37938 + 3.37938i −0.147208 + 0.147208i
\(528\) −1.10247 3.04380i −0.0479790 0.132464i
\(529\) 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
\(537\) −36.9398 + 13.3797i −1.59407 + 0.577378i
\(538\) 12.1096 12.1096i 0.522082 0.522082i
\(539\) −1.22316 −0.0526853
\(540\) −17.9684 + 1.49999i −0.773237 + 0.0645493i
\(541\) 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
\(543\) 24.7892 8.97875i 1.06381 0.385315i
\(544\) 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 0.673669 0.739034i \(-0.264718\pi\)
−0.739034 + 0.673669i \(0.764718\pi\)
\(548\) −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
\(552\) −8.83792 24.4004i −0.376167 1.03855i
\(553\) −0.600909 + 0.600909i −0.0255533 + 0.0255533i
\(554\) −0.652591 −0.0277259
\(555\) 18.1736 3.18841i 0.771424 0.135340i
\(556\) 0.240547 0.0102015
\(557\) −16.8861 + 16.8861i −0.715486 + 0.715486i −0.967677 0.252191i \(-0.918849\pi\)
0.252191 + 0.967677i \(0.418849\pi\)
\(558\) −1.00342 + 11.0710i −0.0424783 + 0.468673i
\(559\) 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 \(-0.241872\pi\)
−0.688823 + 0.724929i \(0.741872\pi\)
\(564\) 10.8509 + 5.08049i 0.456905 + 0.213927i
\(565\) −32.6793 5.73857i −1.37483 0.241423i
\(566\) 4.78600i 0.201170i
\(567\) 20.9292 14.4609i 0.878942 0.607299i
\(568\) −7.80975 + 7.80975i −0.327690 + 0.327690i
\(569\) −18.6579 −0.782181 −0.391090 0.920352i \(-0.627902\pi\)
−0.391090 + 0.920352i \(0.627902\pi\)
\(570\) −2.55372 + 0.448030i −0.106963 + 0.0187659i
\(571\) −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
\(573\) 2.29956 + 6.34879i 0.0960653 + 0.265225i
\(574\) 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 0.968905 0.247434i \(-0.0795874\pi\)
−0.247434 + 0.968905i \(0.579587\pi\)
\(578\) −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
\(582\) 18.4421 6.67980i 0.764450 0.276886i
\(583\) 9.46070 9.46070i 0.391822 0.391822i
\(584\) −0.689044 −0.0285129
\(585\) −10.9373 19.0502i −0.452202 0.787630i
\(586\) −4.10663 −0.169643
\(587\) 19.7250 19.7250i 0.814140 0.814140i −0.171112 0.985252i \(-0.554736\pi\)
0.985252 + 0.171112i \(0.0547360\pi\)
\(588\) −2.50059 + 0.905722i −0.103123 + 0.0373513i
\(589\) 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 \(-0.262292\pi\)
−0.733879 + 0.679280i \(0.762292\pi\)
\(594\) −4.15873 + 1.09348i −0.170635 + 0.0448661i
\(595\) 4.46802 3.13322i 0.183171 0.128449i
\(596\) 37.2600i 1.52623i
\(597\) −16.0257 44.2450i −0.655888 1.81083i
\(598\) 9.76773 9.76773i 0.399432 0.399432i
\(599\) −2.51236 −0.102652 −0.0513260 0.998682i \(-0.516345\pi\)
−0.0513260 + 0.998682i \(0.516345\pi\)
\(600\) −14.5629 + 14.5584i −0.594529 + 0.594344i
\(601\) 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
\(603\) −6.88720 0.624223i −0.280469 0.0254203i
\(604\) 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 0.841502 0.540254i \(-0.181672\pi\)
−0.540254 + 0.841502i \(0.681672\pi\)
\(608\) −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
\(612\) −4.00328 0.362838i −0.161823 0.0146669i
\(613\) 10.0195 10.0195i 0.404684 0.404684i −0.475196 0.879880i \(-0.657623\pi\)
0.879880 + 0.475196i \(0.157623\pi\)
\(614\) −5.17827 −0.208978
\(615\) 17.2003 + 12.0658i 0.693582 + 0.486539i
\(616\) 8.30824 0.334749
\(617\) 20.9235 20.9235i 0.842346 0.842346i −0.146817 0.989164i \(-0.546903\pi\)
0.989164 + 0.146817i \(0.0469029\pi\)
\(618\) −3.46376 9.56303i −0.139333 0.384681i
\(619\) 7.81431i 0.314084i −0.987592 0.157042i \(-0.949804\pi\)
0.987592 0.157042i \(-0.0501958\pi\)
\(620\) −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
\(627\) 2.01316 0.729172i 0.0803977 0.0291203i
\(628\) 0.533280 0.533280i 0.0212802 0.0212802i
\(629\) 4.11337 0.164011
\(630\) 3.31493 12.2528i 0.132070 0.488164i
\(631\) −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
\(633\) −2.12397 + 0.769311i −0.0844204 + 0.0305774i
\(634\) 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 \(-0.302889\pi\)
\(642\) 0.885419 + 2.44453i 0.0349447 + 0.0964781i
\(643\) −7.44518 + 7.44518i −0.293609 + 0.293609i −0.838504 0.544895i \(-0.816569\pi\)
0.544895 + 0.838504i \(0.316569\pi\)
\(644\) −27.6407 −1.08920
\(645\) −5.42516 30.9228i −0.213615 1.21758i
\(646\) −0.578004 −0.0227412
\(647\) 13.2895 13.2895i 0.522463 0.522463i −0.395852 0.918314i \(-0.629551\pi\)
0.918314 + 0.395852i \(0.129551\pi\)
\(648\) −17.6059 + 12.1647i −0.691625 + 0.477874i
\(649\) 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 0.923911 + 0.382607i \(0.124974\pi\)
0.382607 + 0.923911i \(0.375026\pi\)
\(654\) 14.7357 + 6.89940i 0.576212 + 0.269788i
\(655\) 2.97634 + 4.24431i 0.116295 + 0.165839i
\(656\) 8.20209i 0.320238i
\(657\) 0.0784737 0.865818i 0.00306155 0.0337788i
\(658\) −5.96416 + 5.96416i −0.232507 + 0.232507i
\(659\) −33.7277 −1.31384 −0.656922 0.753959i \(-0.728142\pi\)
−0.656922 + 0.753959i \(0.728142\pi\)
\(660\) 4.26682 6.08253i 0.166086 0.236762i
\(661\) −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
\(663\) −1.66772 4.60438i −0.0647690 0.178819i
\(664\) 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
\(672\) 26.5491 9.61619i 1.02415 0.370952i
\(673\) −15.1802 + 15.1802i −0.585155 + 0.585155i −0.936315 0.351160i \(-0.885787\pi\)
0.351160 + 0.936315i \(0.385787\pi\)
\(674\) −1.53361 −0.0590724
\(675\) −16.6348 19.9570i −0.640273 0.768147i
\(676\) −3.53353 −0.135905
\(677\) −2.69519 + 2.69519i −0.103584 + 0.103584i −0.757000 0.653415i \(-0.773336\pi\)
0.653415 + 0.757000i \(0.273336\pi\)
\(678\) −16.1765 + 5.85920i −0.621256 + 0.225021i
\(679\) 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 \(-0.363142\pi\)
−0.908986 + 0.416826i \(0.863142\pi\)
\(684\) 3.57569 2.98139i 0.136720 0.113996i
\(685\) 5.96333 33.9592i 0.227847 1.29752i
\(686\) 11.3732i 0.434231i
\(687\) 1.40452 + 3.87771i 0.0535858 + 0.147944i
\(688\) 8.66641 8.66641i 0.330404 0.330404i
\(689\) 35.4415 1.35021
\(690\) 9.38251 13.3752i 0.357186 0.509184i
\(691\) 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
\(693\) −0.946206 + 10.4397i −0.0359434 + 0.396572i
\(694\) 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 \(0.901604\pi\)
\(702\) −9.83787 5.74149i −0.371306 0.216698i
\(703\) −3.36870 + 3.36870i −0.127053 + 0.127053i
\(704\) −1.03491 −0.0390046
\(705\) 2.98327 + 17.0043i 0.112356 + 0.640418i
\(706\) 13.4490 0.506159
\(707\) −35.3839 + 35.3839i −1.33075 + 1.33075i
\(708\) 5.35294 + 14.7788i 0.201176 + 0.555422i
\(709\) 45.8917i 1.72350i 0.507334 + 0.861750i \(0.330631\pi\)
−0.507334 + 0.861750i \(0.669369\pi\)
\(710\) −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
\(717\) 45.6397 16.5308i 1.70444 0.617356i
\(718\) 9.62846 9.62846i 0.359331 0.359331i
\(719\) 37.9926 1.41688 0.708442 0.705769i \(-0.249398\pi\)
0.708442 + 0.705769i \(0.249398\pi\)
\(720\) 2.64876 9.79051i 0.0987136 0.364871i
\(721\) −24.7943 −0.923387
\(722\) 0.473364 0.473364i 0.0176168 0.0176168i
\(723\) −30.6196 + 11.0905i −1.13875 + 0.412461i
\(724\) 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 0.546903 0.837196i \(-0.315807\pi\)
−0.837196 + 0.546903i \(0.815807\pi\)
\(728\) 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
\(732\) 11.3004 + 31.1989i 0.417673 + 1.15315i
\(733\) −11.0512 + 11.0512i −0.408184 + 0.408184i −0.881105 0.472921i \(-0.843200\pi\)
0.472921 + 0.881105i \(0.343200\pi\)
\(734\) 21.6616 0.799546
\(735\) −3.13724 2.20074i −0.115719 0.0811754i
\(736\) 36.3445 1.33968
\(737\) 2.01497 2.01497i 0.0742223 0.0742223i
\(738\) 10.8503 + 0.983419i 0.399405 + 0.0362002i
\(739\) 25.5905i 0.941360i 0.882304 + 0.470680i \(0.155991\pi\)
−0.882304 + 0.470680i \(0.844009\pi\)
\(740\) −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 0.999376 + 0.0353103i \(0.0112419\pi\)
0.0353103 + 0.999376i \(0.488758\pi\)
\(744\) −20.6451 9.66623i −0.756886 0.354381i
\(745\) 43.9570 30.8251i 1.61046 1.12934i
\(746\) 2.84344i 0.104106i
\(747\) −40.3705 3.65900i −1.47708 0.133876i
\(748\) 1.17123 1.17123i 0.0428243 0.0428243i
\(749\) 6.33800 0.231585
\(750\) −12.7679 2.24413i −0.466218 0.0819439i
\(751\) 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
\(753\) −5.21962 14.4107i −0.190214 0.525157i
\(754\) 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 0.287619 0.957745i \(-0.407136\pi\)
−0.957745 + 0.287619i \(0.907136\pi\)
\(758\) 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 \(0.962888\pi\)
\(762\) −21.4456 + 7.76768i −0.776893 + 0.281394i
\(763\) 28.0469 28.0469i 1.01537 1.01537i
\(764\) −6.04991 −0.218878
\(765\) −2.88384 5.02299i −0.104266 0.181606i
\(766\) 12.2948 0.444229
\(767\) −13.5407 + 13.5407i −0.488925 + 0.488925i
\(768\) −14.6914 + 5.32128i −0.530131 + 0.192015i
\(769\) 16.3499i 0.589591i 0.955560 + 0.294795i \(0.0952515\pi\)
−0.955560 + 0.294795i \(0.904749\pi\)
\(770\) 3.00307 + 4.28243i 0.108223 + 0.154328i
\(771\) 13.7096 29.2810i 0.493741 1.05453i