Properties

Label 285.2.k.c.77.1
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 77.1
Character \(\chi\) \(=\) 285.77
Dual form 285.2.k.c.248.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-1.82223 + 1.82223i) q^{2} +(-1.28293 + 1.16366i) q^{3} -4.64103i q^{4} +(1.53042 + 1.63028i) q^{5} +(0.217337 - 4.45823i) q^{6} +(-1.83721 - 1.83721i) q^{7} +(4.81255 + 4.81255i) q^{8} +(0.291804 - 2.98577i) q^{9} +O(q^{10})\) \(q+(-1.82223 + 1.82223i) q^{2} +(-1.28293 + 1.16366i) q^{3} -4.64103i q^{4} +(1.53042 + 1.63028i) q^{5} +(0.217337 - 4.45823i) q^{6} +(-1.83721 - 1.83721i) q^{7} +(4.81255 + 4.81255i) q^{8} +(0.291804 - 2.98577i) q^{9} +(-5.75952 - 0.181957i) q^{10} -4.54215i q^{11} +(5.40056 + 5.95410i) q^{12} +(4.46633 - 4.46633i) q^{13} +6.69563 q^{14} +(-3.86051 - 0.310639i) q^{15} -8.25708 q^{16} +(-1.82800 + 1.82800i) q^{17} +(4.90903 + 5.97250i) q^{18} -1.00000i q^{19} +(7.56616 - 7.10274i) q^{20} +(4.49489 + 0.219124i) q^{21} +(8.27683 + 8.27683i) q^{22} +(-3.81824 - 3.81824i) q^{23} +(-11.7743 - 0.573994i) q^{24} +(-0.315609 + 4.99003i) q^{25} +16.2773i q^{26} +(3.10005 + 4.17009i) q^{27} +(-8.52654 + 8.52654i) q^{28} +2.20595 q^{29} +(7.60078 - 6.46866i) q^{30} -2.07570 q^{31} +(5.42118 - 5.42118i) q^{32} +(5.28550 + 5.82724i) q^{33} -6.66208i q^{34} +(0.183453 - 5.80687i) q^{35} +(-13.8571 - 1.35427i) q^{36} +(0.958376 + 0.958376i) q^{37} +(1.82223 + 1.82223i) q^{38} +(-0.532700 + 10.9272i) q^{39} +(-0.480553 + 15.2110i) q^{40} +1.66549i q^{41} +(-8.59001 + 7.79142i) q^{42} +(5.41477 - 5.41477i) q^{43} -21.0802 q^{44} +(5.31423 - 4.09378i) q^{45} +13.9154 q^{46} +(1.25505 - 1.25505i) q^{47} +(10.5932 - 9.60841i) q^{48} -0.249319i q^{49} +(-8.51786 - 9.66808i) q^{50} +(0.218026 - 4.47237i) q^{51} +(-20.7284 - 20.7284i) q^{52} +(-7.89753 - 7.89753i) q^{53} +(-13.2479 - 1.94985i) q^{54} +(7.40496 - 6.95141i) q^{55} -17.6833i q^{56} +(1.16366 + 1.28293i) q^{57} +(-4.01974 + 4.01974i) q^{58} +8.55290 q^{59} +(-1.44169 + 17.9167i) q^{60} +4.48338 q^{61} +(3.78240 - 3.78240i) q^{62} +(-6.02160 + 4.94939i) q^{63} +3.24307i q^{64} +(14.1167 + 0.445981i) q^{65} +(-20.2500 - 0.987178i) q^{66} +(-2.12117 - 2.12117i) q^{67} +(8.48382 + 8.48382i) q^{68} +(9.34164 + 0.455402i) q^{69} +(10.2471 + 10.9157i) q^{70} -3.02201i q^{71} +(15.7735 - 12.9649i) q^{72} +(3.69215 - 3.69215i) q^{73} -3.49276 q^{74} +(-5.40178 - 6.76910i) q^{75} -4.64103 q^{76} +(-8.34488 + 8.34488i) q^{77} +(-18.9412 - 20.8826i) q^{78} +0.976417i q^{79} +(-12.6368 - 13.4613i) q^{80} +(-8.82970 - 1.74252i) q^{81} +(-3.03491 - 3.03491i) q^{82} +(-0.264467 - 0.264467i) q^{83} +(1.01696 - 20.8609i) q^{84} +(-5.77777 - 0.182534i) q^{85} +19.7339i q^{86} +(-2.83007 + 2.56697i) q^{87} +(21.8593 - 21.8593i) q^{88} +6.33181 q^{89} +(-2.22393 + 17.1435i) q^{90} -16.4112 q^{91} +(-17.7205 + 17.7205i) q^{92} +(2.66297 - 2.41541i) q^{93} +4.57398i q^{94} +(1.63028 - 1.53042i) q^{95} +(-0.646584 + 13.2634i) q^{96} +(-6.87894 - 6.87894i) q^{97} +(0.454315 + 0.454315i) q^{98} +(-13.5618 - 1.32542i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.82223 + 1.82223i −1.28851 + 1.28851i −0.352817 + 0.935692i \(0.614776\pi\)
−0.935692 + 0.352817i \(0.885224\pi\)
\(3\) −1.28293 + 1.16366i −0.740698 + 0.671838i
\(4\) 4.64103i 2.32051i
\(5\) 1.53042 + 1.63028i 0.684426 + 0.729082i
\(6\) 0.217337 4.45823i 0.0887276 1.82007i
\(7\) −1.83721 1.83721i −0.694400 0.694400i 0.268797 0.963197i \(-0.413374\pi\)
−0.963197 + 0.268797i \(0.913374\pi\)
\(8\) 4.81255 + 4.81255i 1.70149 + 1.70149i
\(9\) 0.291804 2.98577i 0.0972681 0.995258i
\(10\) −5.75952 0.181957i −1.82132 0.0575399i
\(11\) 4.54215i 1.36951i −0.728774 0.684754i \(-0.759909\pi\)
0.728774 0.684754i \(-0.240091\pi\)
\(12\) 5.40056 + 5.95410i 1.55901 + 1.71880i
\(13\) 4.46633 4.46633i 1.23874 1.23874i 0.278219 0.960518i \(-0.410256\pi\)
0.960518 0.278219i \(-0.0897440\pi\)
\(14\) 6.69563 1.78948
\(15\) −3.86051 0.310639i −0.996778 0.0802067i
\(16\) −8.25708 −2.06427
\(17\) −1.82800 + 1.82800i −0.443356 + 0.443356i −0.893138 0.449782i \(-0.851502\pi\)
0.449782 + 0.893138i \(0.351502\pi\)
\(18\) 4.90903 + 5.97250i 1.15707 + 1.40773i
\(19\) 1.00000i 0.229416i
\(20\) 7.56616 7.10274i 1.69185 1.58822i
\(21\) 4.49489 + 0.219124i 0.980865 + 0.0478168i
\(22\) 8.27683 + 8.27683i 1.76463 + 1.76463i
\(23\) −3.81824 3.81824i −0.796157 0.796157i 0.186330 0.982487i \(-0.440341\pi\)
−0.982487 + 0.186330i \(0.940341\pi\)
\(24\) −11.7743 0.573994i −2.40342 0.117166i
\(25\) −0.315609 + 4.99003i −0.0631218 + 0.998006i
\(26\) 16.2773i 3.19225i
\(27\) 3.10005 + 4.17009i 0.596606 + 0.802535i
\(28\) −8.52654 + 8.52654i −1.61137 + 1.61137i
\(29\) 2.20595 0.409635 0.204817 0.978800i \(-0.434340\pi\)
0.204817 + 0.978800i \(0.434340\pi\)
\(30\) 7.60078 6.46866i 1.38771 1.18101i
\(31\) −2.07570 −0.372807 −0.186404 0.982473i \(-0.559683\pi\)
−0.186404 + 0.982473i \(0.559683\pi\)
\(32\) 5.42118 5.42118i 0.958338 0.958338i
\(33\) 5.28550 + 5.82724i 0.920088 + 1.01439i
\(34\) 6.66208i 1.14254i
\(35\) 0.183453 5.80687i 0.0310092 0.981540i
\(36\) −13.8571 1.35427i −2.30951 0.225712i
\(37\) 0.958376 + 0.958376i 0.157556 + 0.157556i 0.781483 0.623927i \(-0.214464\pi\)
−0.623927 + 0.781483i \(0.714464\pi\)
\(38\) 1.82223 + 1.82223i 0.295604 + 0.295604i
\(39\) −0.532700 + 10.9272i −0.0853002 + 1.74976i
\(40\) −0.480553 + 15.2110i −0.0759822 + 2.40508i
\(41\) 1.66549i 0.260106i 0.991507 + 0.130053i \(0.0415148\pi\)
−0.991507 + 0.130053i \(0.958485\pi\)
\(42\) −8.59001 + 7.79142i −1.32547 + 1.20224i
\(43\) 5.41477 5.41477i 0.825745 0.825745i −0.161180 0.986925i \(-0.551530\pi\)
0.986925 + 0.161180i \(0.0515301\pi\)
\(44\) −21.0802 −3.17796
\(45\) 5.31423 4.09378i 0.792198 0.610264i
\(46\) 13.9154 2.05171
\(47\) 1.25505 1.25505i 0.183068 0.183068i −0.609623 0.792691i \(-0.708679\pi\)
0.792691 + 0.609623i \(0.208679\pi\)
\(48\) 10.5932 9.60841i 1.52900 1.38685i
\(49\) 0.249319i 0.0356169i
\(50\) −8.51786 9.66808i −1.20461 1.36727i
\(51\) 0.218026 4.47237i 0.0305298 0.626256i
\(52\) −20.7284 20.7284i −2.87451 2.87451i
\(53\) −7.89753 7.89753i −1.08481 1.08481i −0.996053 0.0887564i \(-0.971711\pi\)
−0.0887564 0.996053i \(-0.528289\pi\)
\(54\) −13.2479 1.94985i −1.80281 0.265341i
\(55\) 7.40496 6.95141i 0.998485 0.937328i
\(56\) 17.6833i 2.36304i
\(57\) 1.16366 + 1.28293i 0.154130 + 0.169928i
\(58\) −4.01974 + 4.01974i −0.527818 + 0.527818i
\(59\) 8.55290 1.11349 0.556746 0.830683i \(-0.312050\pi\)
0.556746 + 0.830683i \(0.312050\pi\)
\(60\) −1.44169 + 17.9167i −0.186121 + 2.31304i
\(61\) 4.48338 0.574038 0.287019 0.957925i \(-0.407336\pi\)
0.287019 + 0.957925i \(0.407336\pi\)
\(62\) 3.78240 3.78240i 0.480366 0.480366i
\(63\) −6.02160 + 4.94939i −0.758650 + 0.623564i
\(64\) 3.24307i 0.405384i
\(65\) 14.1167 + 0.445981i 1.75096 + 0.0553172i
\(66\) −20.2500 0.987178i −2.49260 0.121513i
\(67\) −2.12117 2.12117i −0.259142 0.259142i 0.565563 0.824705i \(-0.308659\pi\)
−0.824705 + 0.565563i \(0.808659\pi\)
\(68\) 8.48382 + 8.48382i 1.02881 + 1.02881i
\(69\) 9.34164 + 0.455402i 1.12460 + 0.0548239i
\(70\) 10.2471 + 10.9157i 1.22477 + 1.30468i
\(71\) 3.02201i 0.358647i −0.983790 0.179324i \(-0.942609\pi\)
0.983790 0.179324i \(-0.0573909\pi\)
\(72\) 15.7735 12.9649i 1.85893 1.52793i
\(73\) 3.69215 3.69215i 0.432134 0.432134i −0.457220 0.889354i \(-0.651155\pi\)
0.889354 + 0.457220i \(0.151155\pi\)
\(74\) −3.49276 −0.406025
\(75\) −5.40178 6.76910i −0.623744 0.781629i
\(76\) −4.64103 −0.532362
\(77\) −8.34488 + 8.34488i −0.950987 + 0.950987i
\(78\) −18.9412 20.8826i −2.14467 2.36449i
\(79\) 0.976417i 0.109856i 0.998490 + 0.0549278i \(0.0174929\pi\)
−0.998490 + 0.0549278i \(0.982507\pi\)
\(80\) −12.6368 13.4613i −1.41284 1.50502i
\(81\) −8.82970 1.74252i −0.981078 0.193614i
\(82\) −3.03491 3.03491i −0.335149 0.335149i
\(83\) −0.264467 0.264467i −0.0290291 0.0290291i 0.692443 0.721472i \(-0.256534\pi\)
−0.721472 + 0.692443i \(0.756534\pi\)
\(84\) 1.01696 20.8609i 0.110960 2.27611i
\(85\) −5.77777 0.182534i −0.626688 0.0197986i
\(86\) 19.7339i 2.12796i
\(87\) −2.83007 + 2.56697i −0.303416 + 0.275208i
\(88\) 21.8593 21.8593i 2.33021 2.33021i
\(89\) 6.33181 0.671170 0.335585 0.942010i \(-0.391066\pi\)
0.335585 + 0.942010i \(0.391066\pi\)
\(90\) −2.22393 + 17.1435i −0.234423 + 1.80709i
\(91\) −16.4112 −1.72036
\(92\) −17.7205 + 17.7205i −1.84749 + 1.84749i
\(93\) 2.66297 2.41541i 0.276138 0.250466i
\(94\) 4.57398i 0.471770i
\(95\) 1.63028 1.53042i 0.167263 0.157018i
\(96\) −0.646584 + 13.2634i −0.0659918 + 1.35369i
\(97\) −6.87894 6.87894i −0.698451 0.698451i 0.265625 0.964076i \(-0.414422\pi\)
−0.964076 + 0.265625i \(0.914422\pi\)
\(98\) 0.454315 + 0.454315i 0.0458928 + 0.0458928i
\(99\) −13.5618 1.32542i −1.36301 0.133210i
\(100\) 23.1589 + 1.46475i 2.31589 + 0.146475i
\(101\) 1.78777i 0.177890i −0.996037 0.0889451i \(-0.971650\pi\)
0.996037 0.0889451i \(-0.0283496\pi\)
\(102\) 7.75238 + 8.54696i 0.767600 + 0.846275i
\(103\) −0.575621 + 0.575621i −0.0567176 + 0.0567176i −0.734897 0.678179i \(-0.762769\pi\)
0.678179 + 0.734897i \(0.262769\pi\)
\(104\) 42.9889 4.21541
\(105\) 6.52185 + 7.66327i 0.636467 + 0.747859i
\(106\) 28.7822 2.79558
\(107\) −9.18298 + 9.18298i −0.887752 + 0.887752i −0.994307 0.106555i \(-0.966018\pi\)
0.106555 + 0.994307i \(0.466018\pi\)
\(108\) 19.3535 14.3874i 1.86229 1.38443i
\(109\) 18.9127i 1.81151i 0.423802 + 0.905755i \(0.360695\pi\)
−0.423802 + 0.905755i \(0.639305\pi\)
\(110\) −0.826475 + 26.1606i −0.0788013 + 2.49431i
\(111\) −2.34475 0.114306i −0.222554 0.0108494i
\(112\) 15.1700 + 15.1700i 1.43343 + 1.43343i
\(113\) −0.0956978 0.0956978i −0.00900249 0.00900249i 0.702591 0.711594i \(-0.252026\pi\)
−0.711594 + 0.702591i \(0.752026\pi\)
\(114\) −4.45823 0.217337i −0.417552 0.0203555i
\(115\) 0.381267 12.0683i 0.0355533 1.12538i
\(116\) 10.2379i 0.950563i
\(117\) −12.0322 14.6387i −1.11237 1.35335i
\(118\) −15.5853 + 15.5853i −1.43475 + 1.43475i
\(119\) 6.71685 0.615733
\(120\) −17.0839 20.0739i −1.55954 1.83248i
\(121\) −9.63110 −0.875555
\(122\) −8.16973 + 8.16973i −0.739653 + 0.739653i
\(123\) −1.93806 2.13671i −0.174749 0.192660i
\(124\) 9.63339i 0.865104i
\(125\) −8.61815 + 7.12233i −0.770831 + 0.637040i
\(126\) 1.95381 19.9916i 0.174060 1.78100i
\(127\) 10.2082 + 10.2082i 0.905831 + 0.905831i 0.995933 0.0901011i \(-0.0287190\pi\)
−0.0901011 + 0.995933i \(0.528719\pi\)
\(128\) 4.93274 + 4.93274i 0.435996 + 0.435996i
\(129\) −0.645820 + 13.2477i −0.0568613 + 1.16639i
\(130\) −26.5366 + 24.9112i −2.32741 + 2.18486i
\(131\) 9.84604i 0.860253i −0.902769 0.430126i \(-0.858469\pi\)
0.902769 0.430126i \(-0.141531\pi\)
\(132\) 27.0444 24.5302i 2.35391 2.13508i
\(133\) −1.83721 + 1.83721i −0.159306 + 0.159306i
\(134\) 7.73049 0.667813
\(135\) −2.05401 + 11.4360i −0.176781 + 0.984250i
\(136\) −17.5947 −1.50874
\(137\) 16.3141 16.3141i 1.39380 1.39380i 0.577206 0.816599i \(-0.304143\pi\)
0.816599 0.577206i \(-0.195857\pi\)
\(138\) −17.8524 + 16.1927i −1.51970 + 1.37842i
\(139\) 9.64597i 0.818160i 0.912498 + 0.409080i \(0.134150\pi\)
−0.912498 + 0.409080i \(0.865850\pi\)
\(140\) −26.9498 0.851411i −2.27768 0.0719573i
\(141\) −0.149690 + 3.07059i −0.0126062 + 0.258590i
\(142\) 5.50680 + 5.50680i 0.462120 + 0.462120i
\(143\) −20.2867 20.2867i −1.69646 1.69646i
\(144\) −2.40945 + 24.6538i −0.200788 + 2.05448i
\(145\) 3.37604 + 3.59631i 0.280365 + 0.298657i
\(146\) 13.4559i 1.11362i
\(147\) 0.290121 + 0.319858i 0.0239288 + 0.0263814i
\(148\) 4.44785 4.44785i 0.365611 0.365611i
\(149\) −5.43738 −0.445447 −0.222724 0.974882i \(-0.571495\pi\)
−0.222724 + 0.974882i \(0.571495\pi\)
\(150\) 22.1781 + 2.49158i 1.81084 + 0.203437i
\(151\) −0.741559 −0.0603472 −0.0301736 0.999545i \(-0.509606\pi\)
−0.0301736 + 0.999545i \(0.509606\pi\)
\(152\) 4.81255 4.81255i 0.390350 0.390350i
\(153\) 4.92459 + 5.99143i 0.398129 + 0.484378i
\(154\) 30.4125i 2.45071i
\(155\) −3.17670 3.38397i −0.255159 0.271807i
\(156\) 50.7137 + 2.47227i 4.06034 + 0.197940i
\(157\) −1.49699 1.49699i −0.119473 0.119473i 0.644843 0.764315i \(-0.276923\pi\)
−0.764315 + 0.644843i \(0.776923\pi\)
\(158\) −1.77925 1.77925i −0.141550 0.141550i
\(159\) 19.3220 + 0.941940i 1.53233 + 0.0747007i
\(160\) 17.1347 + 0.541327i 1.35462 + 0.0427957i
\(161\) 14.0298i 1.10570i
\(162\) 19.2650 12.9144i 1.51360 1.01465i
\(163\) 4.59001 4.59001i 0.359517 0.359517i −0.504118 0.863635i \(-0.668182\pi\)
0.863635 + 0.504118i \(0.168182\pi\)
\(164\) 7.72960 0.603580
\(165\) −1.41097 + 17.5350i −0.109844 + 1.36510i
\(166\) 0.963840 0.0748085
\(167\) 9.40438 9.40438i 0.727733 0.727733i −0.242435 0.970168i \(-0.577946\pi\)
0.970168 + 0.242435i \(0.0779461\pi\)
\(168\) 20.5773 + 22.6864i 1.58758 + 1.75030i
\(169\) 26.8962i 2.06894i
\(170\) 10.8610 10.1958i 0.833004 0.781982i
\(171\) −2.98577 0.291804i −0.228328 0.0223148i
\(172\) −25.1301 25.1301i −1.91615 1.91615i
\(173\) 0.896009 + 0.896009i 0.0681223 + 0.0681223i 0.740347 0.672225i \(-0.234661\pi\)
−0.672225 + 0.740347i \(0.734661\pi\)
\(174\) 0.479435 9.83464i 0.0363459 0.745562i
\(175\) 9.74757 8.58789i 0.736847 0.649184i
\(176\) 37.5049i 2.82704i
\(177\) −10.9727 + 9.95264i −0.824762 + 0.748086i
\(178\) −11.5380 + 11.5380i −0.864809 + 0.864809i
\(179\) −14.2022 −1.06152 −0.530761 0.847521i \(-0.678094\pi\)
−0.530761 + 0.847521i \(0.678094\pi\)
\(180\) −18.9993 24.6635i −1.41613 1.83831i
\(181\) 24.2184 1.80014 0.900070 0.435745i \(-0.143515\pi\)
0.900070 + 0.435745i \(0.143515\pi\)
\(182\) 29.9049 29.9049i 2.21670 2.21670i
\(183\) −5.75185 + 5.21711i −0.425189 + 0.385660i
\(184\) 36.7509i 2.70932i
\(185\) −0.0956978 + 3.02914i −0.00703584 + 0.222707i
\(186\) −0.451128 + 9.25397i −0.0330783 + 0.678534i
\(187\) 8.30306 + 8.30306i 0.607180 + 0.607180i
\(188\) −5.82473 5.82473i −0.424812 0.424812i
\(189\) 1.96588 13.3568i 0.142997 0.971563i
\(190\) −0.181957 + 5.75952i −0.0132005 + 0.417839i
\(191\) 18.9145i 1.36860i −0.729199 0.684301i \(-0.760107\pi\)
0.729199 0.684301i \(-0.239893\pi\)
\(192\) −3.77382 4.16063i −0.272352 0.300267i
\(193\) −8.21984 + 8.21984i −0.591677 + 0.591677i −0.938084 0.346407i \(-0.887402\pi\)
0.346407 + 0.938084i \(0.387402\pi\)
\(194\) 25.0700 1.79992
\(195\) −18.6297 + 15.8549i −1.33410 + 1.13539i
\(196\) −1.15709 −0.0826496
\(197\) −8.69060 + 8.69060i −0.619179 + 0.619179i −0.945321 0.326142i \(-0.894251\pi\)
0.326142 + 0.945321i \(0.394251\pi\)
\(198\) 27.1280 22.2975i 1.92790 1.58462i
\(199\) 6.15876i 0.436583i 0.975884 + 0.218291i \(0.0700483\pi\)
−0.975884 + 0.218291i \(0.929952\pi\)
\(200\) −25.5337 + 22.4959i −1.80550 + 1.59070i
\(201\) 5.18961 + 0.252992i 0.366047 + 0.0178447i
\(202\) 3.25773 + 3.25773i 0.229213 + 0.229213i
\(203\) −4.05279 4.05279i −0.284450 0.284450i
\(204\) −20.7564 1.01187i −1.45324 0.0708448i
\(205\) −2.71522 + 2.54891i −0.189639 + 0.178024i
\(206\) 2.09782i 0.146162i
\(207\) −12.5146 + 10.2862i −0.869823 + 0.714941i
\(208\) −36.8788 + 36.8788i −2.55709 + 2.55709i
\(209\) −4.54215 −0.314187
\(210\) −25.8485 2.07993i −1.78372 0.143529i
\(211\) −10.1077 −0.695844 −0.347922 0.937523i \(-0.613113\pi\)
−0.347922 + 0.937523i \(0.613113\pi\)
\(212\) −36.6527 + 36.6527i −2.51732 + 2.51732i
\(213\) 3.51659 + 3.87702i 0.240953 + 0.265649i
\(214\) 33.4670i 2.28775i
\(215\) 17.1145 + 0.540687i 1.16720 + 0.0368746i
\(216\) −5.14961 + 34.9880i −0.350387 + 2.38063i
\(217\) 3.81350 + 3.81350i 0.258877 + 0.258877i
\(218\) −34.4633 34.4633i −2.33415 2.33415i
\(219\) −0.440364 + 9.03317i −0.0297570 + 0.610405i
\(220\) −32.2617 34.3666i −2.17508 2.31700i
\(221\) 16.3289i 1.09840i
\(222\) 4.48095 4.06437i 0.300742 0.272783i
\(223\) −4.01582 + 4.01582i −0.268919 + 0.268919i −0.828664 0.559746i \(-0.810899\pi\)
0.559746 + 0.828664i \(0.310899\pi\)
\(224\) −19.9197 −1.33094
\(225\) 14.8070 + 2.39845i 0.987134 + 0.159897i
\(226\) 0.348766 0.0231996
\(227\) −11.0356 + 11.0356i −0.732455 + 0.732455i −0.971106 0.238650i \(-0.923295\pi\)
0.238650 + 0.971106i \(0.423295\pi\)
\(228\) 5.95410 5.40056i 0.394320 0.357661i
\(229\) 5.02715i 0.332203i 0.986109 + 0.166102i \(0.0531180\pi\)
−0.986109 + 0.166102i \(0.946882\pi\)
\(230\) 21.2964 + 22.6860i 1.40425 + 1.49587i
\(231\) 0.995295 20.4164i 0.0654856 1.34330i
\(232\) 10.6163 + 10.6163i 0.696991 + 0.696991i
\(233\) 8.08863 + 8.08863i 0.529904 + 0.529904i 0.920544 0.390640i \(-0.127746\pi\)
−0.390640 + 0.920544i \(0.627746\pi\)
\(234\) 48.6005 + 4.74980i 3.17711 + 0.310504i
\(235\) 3.96684 + 0.125322i 0.258768 + 0.00817512i
\(236\) 39.6942i 2.58387i
\(237\) −1.13621 1.25267i −0.0738051 0.0813698i
\(238\) −12.2396 + 12.2396i −0.793378 + 0.793378i
\(239\) −18.8526 −1.21948 −0.609738 0.792603i \(-0.708725\pi\)
−0.609738 + 0.792603i \(0.708725\pi\)
\(240\) 31.8765 + 2.56498i 2.05762 + 0.165568i
\(241\) −17.0491 −1.09823 −0.549113 0.835748i \(-0.685035\pi\)
−0.549113 + 0.835748i \(0.685035\pi\)
\(242\) 17.5501 17.5501i 1.12816 1.12816i
\(243\) 13.3556 8.03921i 0.856760 0.515716i
\(244\) 20.8075i 1.33206i
\(245\) 0.406458 0.381563i 0.0259677 0.0243772i
\(246\) 7.42516 + 0.361974i 0.473411 + 0.0230786i
\(247\) −4.46633 4.46633i −0.284186 0.284186i
\(248\) −9.98943 9.98943i −0.634329 0.634329i
\(249\) 0.647042 + 0.0315431i 0.0410046 + 0.00199896i
\(250\) 2.72573 28.6827i 0.172390 1.81405i
\(251\) 23.4178i 1.47812i 0.673639 + 0.739061i \(0.264730\pi\)
−0.673639 + 0.739061i \(0.735270\pi\)
\(252\) 22.9703 + 27.9464i 1.44699 + 1.76046i
\(253\) −17.3430 + 17.3430i −1.09034 + 1.09034i
\(254\) −37.2033 −2.33435
\(255\) 7.62487 6.48917i 0.477488 0.406368i
\(256\) −24.4633 −1.52896
\(257\) −6.32123 + 6.32123i −0.394307 + 0.394307i −0.876220 0.481912i \(-0.839942\pi\)
0.481912 + 0.876220i \(0.339942\pi\)
\(258\) −22.9635 25.3171i −1.42964 1.57618i
\(259\) 3.52147i 0.218814i
\(260\) 2.06981 65.5161i 0.128364 4.06314i
\(261\) 0.643706 6.58647i 0.0398444 0.407692i
\(262\) 17.9417 + 17.9417i 1.10844 + 1.10844i
\(263\) 18.3187 + 18.3187i 1.12958 + 1.12958i 0.990246 + 0.139333i \(0.0444959\pi\)
0.139333 + 0.990246i \(0.455504\pi\)
\(264\) −2.60716 + 53.4807i −0.160460 + 3.29151i
\(265\) 0.788602 24.9617i 0.0484434 1.53339i
\(266\) 6.69563i 0.410535i
\(267\) −8.12325 + 7.36805i −0.497135 + 0.450917i
\(268\) −9.84439 + 9.84439i −0.601342 + 0.601342i
\(269\) 7.53849 0.459630 0.229815 0.973234i \(-0.426188\pi\)
0.229815 + 0.973234i \(0.426188\pi\)
\(270\) −17.0960 24.5818i −1.04043 1.49600i
\(271\) 10.0065 0.607850 0.303925 0.952696i \(-0.401703\pi\)
0.303925 + 0.952696i \(0.401703\pi\)
\(272\) 15.0940 15.0940i 0.915207 0.915207i
\(273\) 21.0543 19.0970i 1.27427 1.15580i
\(274\) 59.4559i 3.59186i
\(275\) 22.6654 + 1.43354i 1.36678 + 0.0864459i
\(276\) 2.11353 43.3548i 0.127220 2.60965i
\(277\) −7.55501 7.55501i −0.453937 0.453937i 0.442722 0.896659i \(-0.354013\pi\)
−0.896659 + 0.442722i \(0.854013\pi\)
\(278\) −17.5772 17.5772i −1.05421 1.05421i
\(279\) −0.605699 + 6.19758i −0.0362623 + 0.371039i
\(280\) 28.8288 27.0630i 1.72285 1.61732i
\(281\) 14.5206i 0.866229i −0.901339 0.433115i \(-0.857415\pi\)
0.901339 0.433115i \(-0.142585\pi\)
\(282\) −5.32255 5.86809i −0.316953 0.349439i
\(283\) 11.2126 11.2126i 0.666520 0.666520i −0.290389 0.956909i \(-0.593785\pi\)
0.956909 + 0.290389i \(0.0937846\pi\)
\(284\) −14.0253 −0.832246
\(285\) −0.310639 + 3.86051i −0.0184007 + 0.228677i
\(286\) 73.9340 4.37181
\(287\) 3.05986 3.05986i 0.180618 0.180618i
\(288\) −14.6045 17.7683i −0.860578 1.04701i
\(289\) 10.3168i 0.606871i
\(290\) −12.7052 0.401388i −0.746075 0.0235703i
\(291\) 16.8299 + 0.820453i 0.986587 + 0.0480958i
\(292\) −17.1354 17.1354i −1.00277 1.00277i
\(293\) −14.7331 14.7331i −0.860716 0.860716i 0.130705 0.991421i \(-0.458276\pi\)
−0.991421 + 0.130705i \(0.958276\pi\)
\(294\) −1.11152 0.0541862i −0.0648252 0.00316021i
\(295\) 13.0896 + 13.9436i 0.762103 + 0.811827i
\(296\) 9.22447i 0.536161i
\(297\) 18.9412 14.0809i 1.09908 0.817057i
\(298\) 9.90814 9.90814i 0.573963 0.573963i
\(299\) −34.1070 −1.97246
\(300\) −31.4156 + 25.0698i −1.81378 + 1.44741i
\(301\) −19.8961 −1.14679
\(302\) 1.35129 1.35129i 0.0777580 0.0777580i
\(303\) 2.08036 + 2.29358i 0.119513 + 0.131763i
\(304\) 8.25708i 0.473576i
\(305\) 6.86147 + 7.30915i 0.392886 + 0.418521i
\(306\) −19.8915 1.94402i −1.13712 0.111132i
\(307\) 3.55951 + 3.55951i 0.203152 + 0.203152i 0.801349 0.598197i \(-0.204116\pi\)
−0.598197 + 0.801349i \(0.704116\pi\)
\(308\) 38.7288 + 38.7288i 2.20678 + 2.20678i
\(309\) 0.0686544 1.40830i 0.00390561 0.0801156i
\(310\) 11.9550 + 0.377689i 0.679001 + 0.0214513i
\(311\) 1.68249i 0.0954051i −0.998862 0.0477025i \(-0.984810\pi\)
0.998862 0.0477025i \(-0.0151900\pi\)
\(312\) −55.1516 + 50.0243i −3.12235 + 2.83207i
\(313\) 7.60367 7.60367i 0.429785 0.429785i −0.458770 0.888555i \(-0.651710\pi\)
0.888555 + 0.458770i \(0.151710\pi\)
\(314\) 5.45571 0.307884
\(315\) −17.2845 2.24222i −0.973870 0.126335i
\(316\) 4.53158 0.254921
\(317\) 11.8709 11.8709i 0.666738 0.666738i −0.290222 0.956959i \(-0.593729\pi\)
0.956959 + 0.290222i \(0.0937290\pi\)
\(318\) −36.9255 + 33.4926i −2.07068 + 1.87817i
\(319\) 10.0198i 0.560998i
\(320\) −5.28711 + 4.96327i −0.295558 + 0.277455i
\(321\) 1.09526 22.4669i 0.0611312 1.25398i
\(322\) −25.5655 25.5655i −1.42471 1.42471i
\(323\) 1.82800 + 1.82800i 0.101713 + 0.101713i
\(324\) −8.08710 + 40.9789i −0.449284 + 2.27660i
\(325\) 20.8775 + 23.6967i 1.15807 + 1.31446i
\(326\) 16.7281i 0.926483i
\(327\) −22.0079 24.2636i −1.21704 1.34178i
\(328\) −8.01527 + 8.01527i −0.442569 + 0.442569i
\(329\) −4.61159 −0.254245
\(330\) −29.3816 34.5238i −1.61741 1.90047i
\(331\) −29.2752 −1.60911 −0.804554 0.593879i \(-0.797596\pi\)
−0.804554 + 0.593879i \(0.797596\pi\)
\(332\) −1.22740 + 1.22740i −0.0673624 + 0.0673624i
\(333\) 3.14115 2.58184i 0.172134 0.141484i
\(334\) 34.2738i 1.87538i
\(335\) 0.211807 6.70437i 0.0115723 0.366299i
\(336\) −37.1147 1.80933i −2.02477 0.0987069i
\(337\) 19.8725 + 19.8725i 1.08253 + 1.08253i 0.996273 + 0.0862530i \(0.0274894\pi\)
0.0862530 + 0.996273i \(0.472511\pi\)
\(338\) 49.0110 + 49.0110i 2.66584 + 2.66584i
\(339\) 0.234133 + 0.0114139i 0.0127163 + 0.000619917i
\(340\) −0.847144 + 26.8148i −0.0459429 + 1.45424i
\(341\) 9.42815i 0.510563i
\(342\) 5.97250 4.90903i 0.322956 0.265450i
\(343\) −13.3185 + 13.3185i −0.719133 + 0.719133i
\(344\) 52.1177 2.81000
\(345\) 13.5542 + 15.9264i 0.729735 + 0.857450i
\(346\) −3.26547 −0.175553
\(347\) −0.162229 + 0.162229i −0.00870888 + 0.00870888i −0.711448 0.702739i \(-0.751960\pi\)
0.702739 + 0.711448i \(0.251960\pi\)
\(348\) 11.9134 + 13.1345i 0.638624 + 0.704080i
\(349\) 28.9046i 1.54723i −0.633657 0.773614i \(-0.718447\pi\)
0.633657 0.773614i \(-0.281553\pi\)
\(350\) −2.11320 + 33.4114i −0.112955 + 1.78591i
\(351\) 32.4709 + 4.77914i 1.73317 + 0.255092i
\(352\) −24.6238 24.6238i −1.31245 1.31245i
\(353\) 20.9457 + 20.9457i 1.11483 + 1.11483i 0.992488 + 0.122341i \(0.0390403\pi\)
0.122341 + 0.992488i \(0.460960\pi\)
\(354\) 1.85886 38.1308i 0.0987975 2.02663i
\(355\) 4.92672 4.62496i 0.261483 0.245467i
\(356\) 29.3861i 1.55746i
\(357\) −8.61724 + 7.81612i −0.456072 + 0.413673i
\(358\) 25.8796 25.8796i 1.36778 1.36778i
\(359\) −3.99161 −0.210669 −0.105334 0.994437i \(-0.533591\pi\)
−0.105334 + 0.994437i \(0.533591\pi\)
\(360\) 45.2765 + 5.87347i 2.38628 + 0.309559i
\(361\) −1.00000 −0.0526316
\(362\) −44.1315 + 44.1315i −2.31950 + 2.31950i
\(363\) 12.3560 11.2073i 0.648522 0.588231i
\(364\) 76.1647i 3.99211i
\(365\) 11.6698 + 0.368677i 0.610825 + 0.0192974i
\(366\) 0.974405 19.9879i 0.0509330 1.04479i
\(367\) 5.44315 + 5.44315i 0.284130 + 0.284130i 0.834754 0.550624i \(-0.185610\pi\)
−0.550624 + 0.834754i \(0.685610\pi\)
\(368\) 31.5275 + 31.5275i 1.64348 + 1.64348i
\(369\) 4.97279 + 0.485998i 0.258873 + 0.0253001i
\(370\) −5.34540 5.69416i −0.277894 0.296025i
\(371\) 29.0189i 1.50658i
\(372\) −11.2100 12.3589i −0.581210 0.640781i
\(373\) 19.9769 19.9769i 1.03437 1.03437i 0.0349788 0.999388i \(-0.488864\pi\)
0.999388 0.0349788i \(-0.0111364\pi\)
\(374\) −30.2601 −1.56471
\(375\) 2.76851 19.1660i 0.142965 0.989728i
\(376\) 12.0800 0.622979
\(377\) 9.85250 9.85250i 0.507429 0.507429i
\(378\) 20.7568 + 27.9214i 1.06762 + 1.43612i
\(379\) 27.1399i 1.39408i 0.717031 + 0.697042i \(0.245501\pi\)
−0.717031 + 0.697042i \(0.754499\pi\)
\(380\) −7.10274 7.56616i −0.364363 0.388136i
\(381\) −24.9752 1.21753i −1.27952 0.0623761i
\(382\) 34.4665 + 34.4665i 1.76346 + 1.76346i
\(383\) −12.3097 12.3097i −0.628996 0.628996i 0.318819 0.947816i \(-0.396714\pi\)
−0.947816 + 0.318819i \(0.896714\pi\)
\(384\) −12.0684 0.588328i −0.615861 0.0300230i
\(385\) −26.3757 0.833271i −1.34423 0.0424674i
\(386\) 29.9568i 1.52476i
\(387\) −14.5872 17.7473i −0.741510 0.902148i
\(388\) −31.9254 + 31.9254i −1.62077 + 1.62077i
\(389\) −18.3683 −0.931309 −0.465654 0.884967i \(-0.654181\pi\)
−0.465654 + 0.884967i \(0.654181\pi\)
\(390\) 5.05638 62.8387i 0.256040 3.18196i
\(391\) 13.9595 0.705962
\(392\) 1.19986 1.19986i 0.0606020 0.0606020i
\(393\) 11.4574 + 12.6318i 0.577950 + 0.637188i
\(394\) 31.6725i 1.59564i
\(395\) −1.59183 + 1.49433i −0.0800937 + 0.0751880i
\(396\) −6.15130 + 62.9408i −0.309115 + 3.16290i
\(397\) −21.2114 21.2114i −1.06457 1.06457i −0.997766 0.0668018i \(-0.978720\pi\)
−0.0668018 0.997766i \(-0.521280\pi\)
\(398\) −11.2227 11.2227i −0.562541 0.562541i
\(399\) 0.219124 4.49489i 0.0109699 0.225026i
\(400\) 2.60601 41.2031i 0.130301 2.06015i
\(401\) 27.3959i 1.36809i −0.729442 0.684043i \(-0.760220\pi\)
0.729442 0.684043i \(-0.239780\pi\)
\(402\) −9.91766 + 8.99564i −0.494648 + 0.448662i
\(403\) −9.27077 + 9.27077i −0.461810 + 0.461810i
\(404\) −8.29711 −0.412797
\(405\) −10.6724 17.0617i −0.530315 0.847801i
\(406\) 14.7702 0.733034
\(407\) 4.35308 4.35308i 0.215774 0.215774i
\(408\) 22.5728 20.4742i 1.11752 1.01363i
\(409\) 30.2047i 1.49353i 0.665089 + 0.746764i \(0.268393\pi\)
−0.665089 + 0.746764i \(0.731607\pi\)
\(410\) 0.303048 9.59243i 0.0149665 0.473737i
\(411\) −1.94578 + 39.9137i −0.0959783 + 1.96880i
\(412\) 2.67147 + 2.67147i 0.131614 + 0.131614i
\(413\) −15.7135 15.7135i −0.773209 0.773209i
\(414\) 4.06057 41.5482i 0.199566 2.04198i
\(415\) 0.0264082 0.835902i 0.00129633 0.0410328i
\(416\) 48.4255i 2.37426i
\(417\) −11.2246 12.3751i −0.549671 0.606010i
\(418\) 8.27683 8.27683i 0.404833 0.404833i
\(419\) 35.1855 1.71892 0.859461 0.511201i \(-0.170799\pi\)
0.859461 + 0.511201i \(0.170799\pi\)
\(420\) 35.5654 30.2681i 1.73542 1.47693i
\(421\) 5.86101 0.285648 0.142824 0.989748i \(-0.454382\pi\)
0.142824 + 0.989748i \(0.454382\pi\)
\(422\) 18.4186 18.4186i 0.896602 0.896602i
\(423\) −3.38107 4.11353i −0.164393 0.200007i
\(424\) 76.0146i 3.69160i
\(425\) −8.54486 9.69873i −0.414487 0.470457i
\(426\) −13.4728 0.656797i −0.652762 0.0318219i
\(427\) −8.23691 8.23691i −0.398612 0.398612i
\(428\) 42.6185 + 42.6185i 2.06004 + 2.06004i
\(429\) 49.6332 + 2.41960i 2.39631 + 0.116819i
\(430\) −32.1717 + 30.2012i −1.55146 + 1.45643i
\(431\) 11.2149i 0.540204i 0.962832 + 0.270102i \(0.0870575\pi\)
−0.962832 + 0.270102i \(0.912943\pi\)
\(432\) −25.5974 34.4328i −1.23156 1.65665i
\(433\) 10.1435 10.1435i 0.487465 0.487465i −0.420041 0.907505i \(-0.637984\pi\)
0.907505 + 0.420041i \(0.137984\pi\)
\(434\) −13.8981 −0.667132
\(435\) −8.51608 0.685255i −0.408315 0.0328555i
\(436\) 87.7744 4.20363
\(437\) −3.81824 + 3.81824i −0.182651 + 0.182651i
\(438\) −15.6580 17.2629i −0.748170 0.824855i
\(439\) 14.2261i 0.678974i 0.940611 + 0.339487i \(0.110253\pi\)
−0.940611 + 0.339487i \(0.889747\pi\)
\(440\) 69.0908 + 2.18274i 3.29377 + 0.104058i
\(441\) −0.744409 0.0727523i −0.0354481 0.00346439i
\(442\) −29.7550 29.7550i −1.41530 1.41530i
\(443\) 9.23292 + 9.23292i 0.438669 + 0.438669i 0.891564 0.452895i \(-0.149609\pi\)
−0.452895 + 0.891564i \(0.649609\pi\)
\(444\) −0.530495 + 10.8820i −0.0251762 + 0.516439i
\(445\) 9.69034 + 10.3226i 0.459366 + 0.489338i
\(446\) 14.6355i 0.693009i
\(447\) 6.97576 6.32724i 0.329942 0.299268i
\(448\) 5.95821 5.95821i 0.281499 0.281499i
\(449\) 27.9698 1.31998 0.659989 0.751275i \(-0.270561\pi\)
0.659989 + 0.751275i \(0.270561\pi\)
\(450\) −31.3523 + 22.6112i −1.47796 + 1.06590i
\(451\) 7.56491 0.356218
\(452\) −0.444136 + 0.444136i −0.0208904 + 0.0208904i
\(453\) 0.951366 0.862920i 0.0446991 0.0405435i
\(454\) 40.2186i 1.88755i
\(455\) −25.1160 26.7548i −1.17746 1.25428i
\(456\) −0.573994 + 11.7743i −0.0268797 + 0.551383i
\(457\) 26.9708 + 26.9708i 1.26164 + 1.26164i 0.950298 + 0.311343i \(0.100779\pi\)
0.311343 + 0.950298i \(0.399221\pi\)
\(458\) −9.16061 9.16061i −0.428047 0.428047i
\(459\) −13.2899 1.95603i −0.620317 0.0912998i
\(460\) −56.0093 1.76947i −2.61145 0.0825019i
\(461\) 2.16377i 0.100777i 0.998730 + 0.0503884i \(0.0160459\pi\)
−0.998730 + 0.0503884i \(0.983954\pi\)
\(462\) 35.3898 + 39.0171i 1.64648 + 1.81524i
\(463\) −12.3430 + 12.3430i −0.573628 + 0.573628i −0.933140 0.359512i \(-0.882943\pi\)
0.359512 + 0.933140i \(0.382943\pi\)
\(464\) −18.2147 −0.845597
\(465\) 8.01326 + 0.644795i 0.371606 + 0.0299016i
\(466\) −29.4786 −1.36557
\(467\) 12.9059 12.9059i 0.597212 0.597212i −0.342358 0.939570i \(-0.611225\pi\)
0.939570 + 0.342358i \(0.111225\pi\)
\(468\) −67.9388 + 55.8416i −3.14047 + 2.58128i
\(469\) 7.79405i 0.359896i
\(470\) −7.45686 + 7.00013i −0.343959 + 0.322892i
\(471\) 3.66251 + 0.178546i 0.168760 + 0.00822697i
\(472\) 41.1613 + 41.1613i 1.89460 + 1.89460i
\(473\) −24.5947 24.5947i −1.13086 1.13086i
\(474\) 4.35310 + 0.212212i 0.199944 + 0.00974722i
\(475\) 4.99003 + 0.315609i 0.228958 + 0.0144811i
\(476\) 31.1731i 1.42882i
\(477\) −25.8848 + 21.2757i −1.18518 + 0.974148i
\(478\) 34.3538 34.3538i 1.57131 1.57131i
\(479\) −8.39792 −0.383711 −0.191855 0.981423i \(-0.561450\pi\)
−0.191855 + 0.981423i \(0.561450\pi\)
\(480\) −22.6125 + 19.2445i −1.03212 + 0.878385i
\(481\) 8.56084 0.390341
\(482\) 31.0673 31.0673i 1.41508 1.41508i
\(483\) −16.3259 17.9992i −0.742853 0.818993i
\(484\) 44.6982i 2.03174i
\(485\) 0.686891 21.7423i 0.0311901 0.987266i
\(486\) −9.68760 + 38.9862i −0.439439 + 1.76845i
\(487\) −18.5199 18.5199i −0.839218 0.839218i 0.149538 0.988756i \(-0.452221\pi\)
−0.988756 + 0.149538i \(0.952221\pi\)
\(488\) 21.5765 + 21.5765i 0.976722 + 0.976722i
\(489\) −0.547451 + 11.2298i −0.0247566 + 0.507831i
\(490\) −0.0453653 + 1.43595i −0.00204939 + 0.0648698i
\(491\) 28.5609i 1.28894i 0.764631 + 0.644468i \(0.222921\pi\)
−0.764631 + 0.644468i \(0.777079\pi\)
\(492\) −9.91651 + 8.99460i −0.447071 + 0.405508i
\(493\) −4.03249 + 4.03249i −0.181614 + 0.181614i
\(494\) 16.2773 0.732352
\(495\) −18.5945 24.1380i −0.835762 1.08492i
\(496\) 17.1392 0.769575
\(497\) −5.55208 + 5.55208i −0.249045 + 0.249045i
\(498\) −1.23654 + 1.12158i −0.0554105 + 0.0502592i
\(499\) 18.8789i 0.845134i −0.906332 0.422567i \(-0.861129\pi\)
0.906332 0.422567i \(-0.138871\pi\)
\(500\) 33.0549 + 39.9971i 1.47826 + 1.78872i
\(501\) −1.12166 + 23.0086i −0.0501121 + 1.02795i
\(502\) −42.6726 42.6726i −1.90457 1.90457i
\(503\) 24.0252 + 24.0252i 1.07123 + 1.07123i 0.997260 + 0.0739718i \(0.0235675\pi\)
0.0739718 + 0.997260i \(0.476433\pi\)
\(504\) −52.7985 5.16008i −2.35183 0.229848i
\(505\) 2.91457 2.73605i 0.129697 0.121753i
\(506\) 63.2058i 2.80984i
\(507\) 31.2979 + 34.5058i 1.38999 + 1.53246i
\(508\) 47.3765 47.3765i 2.10199 2.10199i
\(509\) −34.6311 −1.53500 −0.767499 0.641050i \(-0.778499\pi\)
−0.767499 + 0.641050i \(0.778499\pi\)
\(510\) −2.06950 + 25.7190i −0.0916392 + 1.13886i
\(511\) −13.5665 −0.600148
\(512\) 34.7122 34.7122i 1.53408 1.53408i
\(513\) 4.17009 3.10005i 0.184114 0.136871i
\(514\) 23.0374i 1.01614i
\(515\) −1.81936 0.0574781i −0.0801708 0.00253279i
\(516\) 61.4829 + 2.99727i 2.70663 + 0.131947i
\(517\) −5.70063 5.70063i −0.250713 0.250713i
\(518\) 6.41693 + 6.41693i 0.281944 + 0.281944i
\(519\) −2.19216 0.106867i −0.0962253 0.00469095i
\(520\) 65.7912 + 70.0838i 2.88513 + 3.07338i
\(521\) 13.3537i 0.585036i 0.956260 + 0.292518i \(0.0944931\pi\)
−0.956260 + 0.292518i \(0.905507\pi\)
\(522\) 10.8291 + 13.1750i 0.473976 + 0.576655i
\(523\) −29.2427 + 29.2427i −1.27869 + 1.27869i −0.337294 + 0.941399i \(0.609512\pi\)
−0.941399 + 0.337294i \(0.890488\pi\)
\(524\) −45.6957 −1.99623
\(525\) −2.51206 + 22.3605i −0.109635 + 0.975891i
\(526\) −66.7616 −2.91095
\(527\) 3.79439 3.79439i 0.165286 0.165286i
\(528\) −43.6428 48.1160i −1.89931 2.09398i
\(529\) 6.15786i 0.267733i
\(530\) 44.0490 + 46.9230i 1.91336 + 2.03820i
\(531\) 2.49577 25.5370i 0.108307 1.10821i
\(532\) 8.52654 + 8.52654i 0.369673 + 0.369673i
\(533\) 7.43864 + 7.43864i 0.322203 + 0.322203i
\(534\) 1.37614 28.2287i 0.0595513 1.22157i
\(535\) −29.0246 0.916958i −1.25484 0.0396436i
\(536\) 20.4164i 0.881856i
\(537\) 18.2204 16.5265i 0.786268 0.713171i
\(538\) −13.7369 + 13.7369i −0.592238 + 0.592238i
\(539\) −1.13244 −0.0487777
\(540\) 53.0746 + 9.53273i 2.28397 + 0.410223i
\(541\) −17.2855 −0.743162 −0.371581 0.928401i \(-0.621184\pi\)
−0.371581 + 0.928401i \(0.621184\pi\)
\(542\) −18.2341 + 18.2341i −0.783221 + 0.783221i
\(543\) −31.0705 + 28.1819i −1.33336 + 1.20940i
\(544\) 19.8199i 0.849770i
\(545\) −30.8330 + 28.9445i −1.32074 + 1.23984i
\(546\) −3.56676 + 73.1648i −0.152643 + 3.13116i
\(547\) −11.8433 11.8433i −0.506383 0.506383i 0.407031 0.913414i \(-0.366564\pi\)
−0.913414 + 0.407031i \(0.866564\pi\)
\(548\) −75.7140 75.7140i −3.23434 3.23434i
\(549\) 1.30827 13.3864i 0.0558356 0.571316i
\(550\) −43.9138 + 38.6894i −1.87249 + 1.64972i
\(551\) 2.20595i 0.0939766i
\(552\) 42.7655 + 47.1488i 1.82022 + 2.00679i
\(553\) 1.79388 1.79388i 0.0762837 0.0762837i
\(554\) 27.5339 1.16980
\(555\) −3.40211 3.99752i −0.144411 0.169685i
\(556\) 44.7672 1.89855
\(557\) −3.98869 + 3.98869i −0.169006 + 0.169006i −0.786543 0.617536i \(-0.788131\pi\)
0.617536 + 0.786543i \(0.288131\pi\)
\(558\) −10.1897 12.3971i −0.431364 0.524812i
\(559\) 48.3683i 2.04576i
\(560\) −1.51479 + 47.9478i −0.0640114 + 2.02616i
\(561\) −20.3141 0.990307i −0.857664 0.0418108i
\(562\) 26.4599 + 26.4599i 1.11614 + 1.11614i
\(563\) 3.36144 + 3.36144i 0.141668 + 0.141668i 0.774384 0.632716i \(-0.218060\pi\)
−0.632716 + 0.774384i \(0.718060\pi\)
\(564\) 14.2507 + 0.694716i 0.600063 + 0.0292528i
\(565\) 0.00955582 0.302472i 0.000402016 0.0127251i
\(566\) 40.8638i 1.71763i
\(567\) 13.0206 + 19.4234i 0.546815 + 0.815706i
\(568\) 14.5436 14.5436i 0.610236 0.610236i
\(569\) 10.8038 0.452917 0.226459 0.974021i \(-0.427285\pi\)
0.226459 + 0.974021i \(0.427285\pi\)
\(570\) −6.46866 7.60078i −0.270943 0.318361i
\(571\) 19.0988 0.799261 0.399631 0.916676i \(-0.369138\pi\)
0.399631 + 0.916676i \(0.369138\pi\)
\(572\) −94.1512 + 94.1512i −3.93666 + 3.93666i
\(573\) 22.0099 + 24.2659i 0.919479 + 1.01372i
\(574\) 11.1515i 0.465456i
\(575\) 20.2582 17.8480i 0.844825 0.744315i
\(576\) 9.68308 + 0.946343i 0.403462 + 0.0394310i
\(577\) −1.70297 1.70297i −0.0708956 0.0708956i 0.670770 0.741666i \(-0.265964\pi\)
−0.741666 + 0.670770i \(0.765964\pi\)
\(578\) −18.7996 18.7996i −0.781959 0.781959i
\(579\) 0.980381 20.1105i 0.0407433 0.835765i
\(580\) 16.6906 15.6683i 0.693039 0.650590i
\(581\) 0.971764i 0.0403156i
\(582\) −32.1630 + 29.1729i −1.33320 + 1.20926i
\(583\) −35.8718 + 35.8718i −1.48566 + 1.48566i
\(584\) 35.5374 1.47055
\(585\) 5.45092 42.0192i 0.225368 1.73728i
\(586\) 53.6941 2.21808
\(587\) 12.7069 12.7069i 0.524472 0.524472i −0.394447 0.918919i \(-0.629064\pi\)
0.918919 + 0.394447i \(0.129064\pi\)
\(588\) 1.48447 1.34646i 0.0612184 0.0555271i
\(589\) 2.07570i 0.0855278i
\(590\) −49.2605 1.55626i −2.02802 0.0640702i
\(591\) 1.03653 21.2623i 0.0426371 0.874613i
\(592\) −7.91339 7.91339i −0.325238 0.325238i
\(593\) −26.3090 26.3090i −1.08038 1.08038i −0.996473 0.0839087i \(-0.973260\pi\)
−0.0839087 0.996473i \(-0.526740\pi\)
\(594\) −8.85652 + 60.1737i −0.363387 + 2.46896i
\(595\) 10.2796 + 10.9503i 0.421424 + 0.448920i
\(596\) 25.2350i 1.03367i
\(597\) −7.16668 7.90124i −0.293313 0.323376i
\(598\) 62.1507 62.1507i 2.54153 2.54153i
\(599\) 22.4914 0.918975 0.459487 0.888184i \(-0.348033\pi\)
0.459487 + 0.888184i \(0.348033\pi\)
\(600\) 6.58033 58.5730i 0.268641 2.39123i
\(601\) −31.4458 −1.28270 −0.641351 0.767247i \(-0.721626\pi\)
−0.641351 + 0.767247i \(0.721626\pi\)
\(602\) 36.2553 36.2553i 1.47766 1.47766i
\(603\) −6.95229 + 5.71436i −0.283119 + 0.232707i
\(604\) 3.44160i 0.140037i
\(605\) −14.7397 15.7014i −0.599252 0.638351i
\(606\) −7.97031 0.388550i −0.323772 0.0157838i
\(607\) −3.09679 3.09679i −0.125695 0.125695i 0.641461 0.767156i \(-0.278329\pi\)
−0.767156 + 0.641461i \(0.778329\pi\)
\(608\) −5.42118 5.42118i −0.219858 0.219858i
\(609\) 9.91550 + 0.483377i 0.401796 + 0.0195874i
\(610\) −25.8221 0.815782i −1.04551 0.0330300i
\(611\) 11.2109i 0.453546i
\(612\) 27.8064 22.8552i 1.12401 0.923865i
\(613\) 23.6531 23.6531i 0.955341 0.955341i −0.0437037 0.999045i \(-0.513916\pi\)
0.999045 + 0.0437037i \(0.0139157\pi\)
\(614\) −12.9725 −0.523527
\(615\) 0.517368 6.42964i 0.0208623 0.259268i
\(616\) −80.3204 −3.23620
\(617\) 11.9439 11.9439i 0.480844 0.480844i −0.424557 0.905401i \(-0.639570\pi\)
0.905401 + 0.424557i \(0.139570\pi\)
\(618\) 2.44115 + 2.69136i 0.0981974 + 0.108262i
\(619\) 26.8579i 1.07951i 0.841822 + 0.539755i \(0.181483\pi\)
−0.841822 + 0.539755i \(0.818517\pi\)
\(620\) −15.7051 + 14.7432i −0.630732 + 0.592100i
\(621\) 4.08566 27.7591i 0.163952 1.11394i
\(622\) 3.06587 + 3.06587i 0.122930 + 0.122930i
\(623\) −11.6329 11.6329i −0.466061 0.466061i
\(624\) 4.39854 90.2272i 0.176083 3.61198i
\(625\) −24.8008 3.14980i −0.992031 0.125992i
\(626\) 27.7112i 1.10756i
\(627\) 5.82724 5.28550i 0.232718 0.211083i
\(628\) −6.94757 + 6.94757i −0.277238 + 0.277238i
\(629\) −3.50383 −0.139707
\(630\) 35.5821 27.4104i 1.41762 1.09206i
\(631\) 33.1609 1.32012 0.660058 0.751214i \(-0.270532\pi\)
0.660058 + 0.751214i \(0.270532\pi\)
\(632\) −4.69906 + 4.69906i −0.186919 + 0.186919i
\(633\) 12.9675 11.7619i 0.515410 0.467494i
\(634\) 43.2631i 1.71820i
\(635\) −1.01933 + 32.2651i −0.0404509 + 1.28040i
\(636\) 4.37157 89.6739i 0.173344 3.55580i
\(637\) −1.11354 1.11354i −0.0441200 0.0441200i
\(638\) 18.2583 + 18.2583i 0.722852 + 0.722852i
\(639\) −9.02305 0.881837i −0.356947 0.0348849i
\(640\) −0.492554 + 15.5909i −0.0194699 + 0.616285i
\(641\) 30.8617i 1.21896i 0.792801 + 0.609481i \(0.208622\pi\)
−0.792801 + 0.609481i \(0.791378\pi\)
\(642\) 38.9441 + 42.9357i 1.53700 + 1.69454i
\(643\) −24.4444 + 24.4444i −0.963993 + 0.963993i −0.999374 0.0353813i \(-0.988735\pi\)
0.0353813 + 0.999374i \(0.488735\pi\)
\(644\) 65.1127 2.56580
\(645\) −22.5858 + 19.2217i −0.889315 + 0.756854i
\(646\) −6.66208 −0.262116
\(647\) 27.7963 27.7963i 1.09279 1.09279i 0.0975561 0.995230i \(-0.468897\pi\)
0.995230 0.0975561i \(-0.0311025\pi\)
\(648\) −34.1074 50.8794i −1.33987 1.99873i
\(649\) 38.8485i 1.52494i
\(650\) −81.2244 5.13727i −3.18588 0.201500i
\(651\) −9.33005 0.454837i −0.365674 0.0178265i
\(652\) −21.3024 21.3024i −0.834265 0.834265i
\(653\) 31.6450 + 31.6450i 1.23837 + 1.23837i 0.960669 + 0.277697i \(0.0895711\pi\)
0.277697 + 0.960669i \(0.410429\pi\)
\(654\) 84.3173 + 4.11044i 3.29707 + 0.160731i
\(655\) 16.0518 15.0686i 0.627195 0.588779i
\(656\) 13.7521i 0.536930i
\(657\) −9.94656 12.1013i −0.388052 0.472118i
\(658\) 8.40336 8.40336i 0.327597 0.327597i
\(659\) 39.8644 1.55290 0.776449 0.630180i \(-0.217019\pi\)
0.776449 + 0.630180i \(0.217019\pi\)
\(660\) 81.3803 + 6.54835i 3.16773 + 0.254894i
\(661\) 2.22381 0.0864963 0.0432481 0.999064i \(-0.486229\pi\)
0.0432481 + 0.999064i \(0.486229\pi\)
\(662\) 53.3460 53.3460i 2.07335 2.07335i
\(663\) −19.0013 20.9488i −0.737948 0.813585i
\(664\) 2.54553i 0.0987856i
\(665\) −5.80687 0.183453i −0.225181 0.00711400i
\(666\) −1.01920 + 10.4286i −0.0394933 + 0.404100i
\(667\) −8.42284 8.42284i −0.326134 0.326134i
\(668\) −43.6460 43.6460i −1.68871 1.68871i
\(669\) 0.478967 9.82503i 0.0185179 0.379858i
\(670\) 11.8309 + 12.6028i 0.457069 + 0.486891i
\(671\) 20.3642i 0.786150i
\(672\) 25.5555 23.1797i 0.985825 0.894176i
\(673\) −11.5555 + 11.5555i −0.445432 + 0.445432i −0.893833 0.448401i \(-0.851994\pi\)
0.448401 + 0.893833i \(0.351994\pi\)
\(674\) −72.4246 −2.78969
\(675\) −21.7873 + 14.1532i −0.838593 + 0.544758i
\(676\) −124.826 −4.80100
\(677\) 8.43479 8.43479i 0.324175 0.324175i −0.526191 0.850366i \(-0.676380\pi\)
0.850366 + 0.526191i \(0.176380\pi\)
\(678\) −0.447442 + 0.405844i −0.0171839 + 0.0155864i
\(679\) 25.2761i 0.970009i
\(680\) −26.9274 28.6843i −1.03262 1.09999i
\(681\) 1.31621 26.9994i 0.0504373 1.03462i
\(682\) −17.1802 17.1802i −0.657865 0.657865i
\(683\) 22.5254 + 22.5254i 0.861910 + 0.861910i 0.991560 0.129650i \(-0.0413853\pi\)
−0.129650 + 0.991560i \(0.541385\pi\)
\(684\) −1.35427 + 13.8571i −0.0517819 + 0.529838i
\(685\) 51.5639 + 1.62903i 1.97015 + 0.0622419i
\(686\) 48.5388i 1.85322i
\(687\) −5.84987 6.44946i −0.223187 0.246062i
\(688\) −44.7102 + 44.7102i −1.70456 + 1.70456i
\(689\) −70.5460 −2.68759
\(690\) −53.7205 4.32267i −2.04510 0.164561i
\(691\) 14.1401 0.537915 0.268958 0.963152i \(-0.413321\pi\)
0.268958 + 0.963152i \(0.413321\pi\)
\(692\) 4.15840 4.15840i 0.158079 0.158079i
\(693\) 22.4809 + 27.3510i 0.853977 + 1.03898i
\(694\) 0.591235i 0.0224430i
\(695\) −15.7256 + 14.7624i −0.596506 + 0.559970i
\(696\) −25.9736 1.26620i −0.984525 0.0479953i
\(697\) −3.04453 3.04453i −0.115320 0.115320i
\(698\) 52.6708 + 52.6708i 1.99362 + 1.99362i
\(699\) −19.7895 0.964732i −0.748508 0.0364895i
\(700\) −39.8566 45.2388i −1.50644 1.70986i
\(701\) 37.1719i 1.40396i 0.712196 + 0.701981i \(0.247701\pi\)
−0.712196 + 0.701981i \(0.752299\pi\)
\(702\) −67.8780 + 50.4606i −2.56189 + 1.90451i
\(703\) 0.958376 0.958376i 0.0361458 0.0361458i
\(704\) 14.7305 0.555177
\(705\) −5.23500 + 4.45527i −0.197162 + 0.167795i
\(706\) −76.3358 −2.87294
\(707\) −3.28452 + 3.28452i −0.123527 + 0.123527i
\(708\) 46.1905 + 50.9248i 1.73594 + 1.91387i
\(709\) 12.0445i 0.452340i 0.974088 + 0.226170i \(0.0726204\pi\)
−0.974088 + 0.226170i \(0.927380\pi\)
\(710\) −0.549877 + 17.4053i −0.0206365 + 0.653211i
\(711\) 2.91536 + 0.284923i 0.109335 + 0.0106854i
\(712\) 30.4722 + 30.4722i 1.14199 + 1.14199i
\(713\) 7.92552 + 7.92552i 0.296813 + 0.296813i
\(714\) 1.45982 29.9453i 0.0546325 1.12067i
\(715\) 2.02571 64.1202i 0.0757574 2.39796i
\(716\) 65.9128i 2.46328i
\(717\) 24.1866 21.9380i 0.903264 0.819290i
\(718\) 7.27362 7.27362i 0.271449 0.271449i
\(719\) −11.5642 −0.431270 −0.215635 0.976474i \(-0.569182\pi\)
−0.215635 + 0.976474i \(0.569182\pi\)
\(720\) −43.8800 + 33.8027i −1.63531 + 1.25975i
\(721\) 2.11507 0.0787694
\(722\) 1.82223 1.82223i 0.0678163 0.0678163i
\(723\) 21.8727 19.8393i 0.813455 0.737830i
\(724\) 112.398i 4.17725i
\(725\) −0.696218 + 11.0078i −0.0258569 + 0.408818i
\(726\) −2.09320 + 42.9377i −0.0776859 + 1.59357i
\(727\) −8.16963 8.16963i −0.302995 0.302995i 0.539190 0.842184i \(-0.318731\pi\)
−0.842184 + 0.539190i \(0.818731\pi\)
\(728\) −78.9796 78.9796i −2.92718 2.92718i
\(729\) −7.77933 + 25.8550i −0.288123 + 0.957593i
\(730\) −21.9368 + 20.5932i −0.811919 + 0.762189i
\(731\) 19.7964i 0.732198i
\(732\) 24.2128 + 26.6945i 0.894930 + 0.986656i
\(733\) 22.2946 22.2946i 0.823470 0.823470i −0.163134 0.986604i \(-0.552160\pi\)
0.986604 + 0.163134i \(0.0521603\pi\)
\(734\) −19.8373 −0.732208
\(735\) −0.0774482 + 0.962496i −0.00285672 + 0.0355022i
\(736\) −41.3987 −1.52598
\(737\) −9.63465 + 9.63465i −0.354897 + 0.354897i
\(738\) −9.94715 + 8.17595i −0.366160 + 0.300961i
\(739\) 33.0028i 1.21403i 0.794691 + 0.607015i \(0.207633\pi\)
−0.794691 + 0.607015i \(0.792367\pi\)
\(740\) 14.0583 + 0.444136i 0.516794 + 0.0163268i
\(741\) 10.9272 + 0.532700i 0.401422 + 0.0195692i
\(742\) −52.8790 52.8790i −1.94125 1.94125i
\(743\) 35.2386 + 35.2386i 1.29278 + 1.29278i 0.933061 + 0.359719i \(0.117127\pi\)
0.359719 + 0.933061i \(0.382873\pi\)
\(744\) 24.4400 + 1.19144i 0.896013 + 0.0436803i
\(745\) −8.32149 8.86443i −0.304876 0.324768i
\(746\) 72.8051i 2.66558i
\(747\) −0.866813 + 0.712467i −0.0317150 + 0.0260678i
\(748\) 38.5347 38.5347i 1.40897 1.40897i
\(749\) 33.7421 1.23291
\(750\) 29.8800 + 39.9697i 1.09106 + 1.45949i
\(751\) 27.2078 0.992825 0.496413 0.868087i \(-0.334650\pi\)
0.496413 + 0.868087i \(0.334650\pi\)
\(752\) −10.3631 + 10.3631i −0.377902 + 0.377902i
\(753\) −27.2503 30.0434i −0.993058 1.09484i
\(754\) 35.9070i 1.30766i
\(755\) −1.13490 1.20895i −0.0413032 0.0439981i
\(756\) −61.9892 9.12372i −2.25453 0.331827i
\(757\) 21.5373 + 21.5373i 0.782788 + 0.782788i 0.980300 0.197513i \(-0.0632864\pi\)
−0.197513 + 0.980300i \(0.563286\pi\)
\(758\) −49.4551 49.4551i −1.79629 1.79629i
\(759\) 2.06850 42.4311i 0.0750818 1.54015i
\(760\) 15.2110 + 0.480553i 0.551763 + 0.0174315i
\(761\) 17.0502i 0.618068i 0.951051 + 0.309034i \(0.100006\pi\)
−0.951051 + 0.309034i \(0.899994\pi\)
\(762\) 47.7292 43.2919i 1.72905 1.56830i
\(763\) 34.7466 34.7466i 1.25791 1.25791i
\(764\) −87.7825 −3.17586
\(765\) −2.23098 + 17.1979i −0.0806614 + 0.621790i
\(766\) 44.8622 1.62094
\(767\) 38.2000 38.2000i 1.37932 1.37932i
\(768\) 31.3846 28.4669i 1.13249 1.02721i
\(769\) 11.1552i 0.402268i −0.979564 0.201134i \(-0.935537\pi\)
0.979564 0.201134i \(-0.0644626\pi\)
\(770\) 49.5809 46.5441i 1.78677 1.67733i
\(771\) 0.753934 15.4654i 0.0271523 0.556973i
\(772\)