Properties

Label 285.2.k.d.77.14
Level $285$
Weight $2$
Character 285.77
Analytic conductor $2.276$
Analytic rank $0$
Dimension $36$
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: \(36\)
Relative dimension: \(18\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.14
Character \(\chi\) \(=\) 285.77
Dual form 285.2.k.d.248.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.885404 - 0.885404i) q^{2} +(-1.72118 + 0.193756i) q^{3} +0.432118i q^{4} +(0.370079 - 2.20523i) q^{5} +(-1.35239 + 1.69549i) q^{6} +(0.957875 + 0.957875i) q^{7} +(2.15341 + 2.15341i) q^{8} +(2.92492 - 0.666976i) q^{9} +O(q^{10})\) \(q+(0.885404 - 0.885404i) q^{2} +(-1.72118 + 0.193756i) q^{3} +0.432118i q^{4} +(0.370079 - 2.20523i) q^{5} +(-1.35239 + 1.69549i) q^{6} +(0.957875 + 0.957875i) q^{7} +(2.15341 + 2.15341i) q^{8} +(2.92492 - 0.666976i) q^{9} +(-1.62485 - 2.28019i) q^{10} -5.76910i q^{11} +(-0.0837253 - 0.743753i) q^{12} +(4.19305 - 4.19305i) q^{13} +1.69621 q^{14} +(-0.209697 + 3.86730i) q^{15} +2.94904 q^{16} +(-2.99634 + 2.99634i) q^{17} +(1.99919 - 3.18028i) q^{18} +1.00000i q^{19} +(0.952920 + 0.159918i) q^{20} +(-1.83427 - 1.46308i) q^{21} +(-5.10798 - 5.10798i) q^{22} +(1.13944 + 1.13944i) q^{23} +(-4.12364 - 3.28917i) q^{24} +(-4.72608 - 1.63222i) q^{25} -7.42509i q^{26} +(-4.90508 + 1.71471i) q^{27} +(-0.413915 + 0.413915i) q^{28} +5.41821 q^{29} +(3.23846 + 3.60979i) q^{30} -0.142123 q^{31} +(-1.69572 + 1.69572i) q^{32} +(1.11779 + 9.92965i) q^{33} +5.30595i q^{34} +(2.46682 - 1.75785i) q^{35} +(0.288212 + 1.26391i) q^{36} +(6.07758 + 6.07758i) q^{37} +(0.885404 + 0.885404i) q^{38} +(-6.40456 + 8.02941i) q^{39} +(5.54569 - 3.95183i) q^{40} -3.96069i q^{41} +(-2.91949 + 0.328651i) q^{42} +(-7.73851 + 7.73851i) q^{43} +2.49293 q^{44} +(-0.388386 - 6.69695i) q^{45} +2.01773 q^{46} +(-4.30006 + 4.30006i) q^{47} +(-5.07582 + 0.571393i) q^{48} -5.16495i q^{49} +(-5.62967 + 2.73932i) q^{50} +(4.57668 - 5.73780i) q^{51} +(1.81189 + 1.81189i) q^{52} +(-1.94543 - 1.94543i) q^{53} +(-2.82477 + 5.86118i) q^{54} +(-12.7222 - 2.13502i) q^{55} +4.12539i q^{56} +(-0.193756 - 1.72118i) q^{57} +(4.79730 - 4.79730i) q^{58} -6.82393 q^{59} +(-1.67113 - 0.0906136i) q^{60} +3.11759 q^{61} +(-0.125836 + 0.125836i) q^{62} +(3.44059 + 2.16283i) q^{63} +8.90088i q^{64} +(-7.69488 - 10.7984i) q^{65} +(9.78145 + 7.80205i) q^{66} +(1.30306 + 1.30306i) q^{67} +(-1.29477 - 1.29477i) q^{68} +(-2.18195 - 1.74040i) q^{69} +(0.627733 - 3.74054i) q^{70} +2.68963i q^{71} +(7.73481 + 4.86227i) q^{72} +(-8.18568 + 8.18568i) q^{73} +10.7622 q^{74} +(8.45069 + 1.89364i) q^{75} -0.432118 q^{76} +(5.52607 - 5.52607i) q^{77} +(1.43865 + 12.7799i) q^{78} +11.2178i q^{79} +(1.09138 - 6.50331i) q^{80} +(8.11029 - 3.90170i) q^{81} +(-3.50681 - 3.50681i) q^{82} +(-4.47551 - 4.47551i) q^{83} +(0.632224 - 0.792620i) q^{84} +(5.49874 + 7.71650i) q^{85} +13.7034i q^{86} +(-9.32571 + 1.04981i) q^{87} +(12.4232 - 12.4232i) q^{88} -5.91905 q^{89} +(-6.27339 - 5.58563i) q^{90} +8.03283 q^{91} +(-0.492371 + 0.492371i) q^{92} +(0.244619 - 0.0275371i) q^{93} +7.61458i q^{94} +(2.20523 + 0.370079i) q^{95} +(2.59009 - 3.24720i) q^{96} +(-2.71469 - 2.71469i) q^{97} +(-4.57307 - 4.57307i) q^{98} +(-3.84785 - 16.8741i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36 q - 2 q^{3} + 4 q^{6} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 36 q - 2 q^{3} + 4 q^{6} + 4 q^{7} - 4 q^{10} - 18 q^{12} - 8 q^{13} - 8 q^{15} - 84 q^{16} + 8 q^{21} + 40 q^{22} - 20 q^{25} - 14 q^{27} + 36 q^{28} + 28 q^{30} - 28 q^{33} + 92 q^{36} - 4 q^{37} - 20 q^{40} - 100 q^{42} + 16 q^{43} + 28 q^{45} - 24 q^{46} - 58 q^{48} + 32 q^{51} + 148 q^{52} - 72 q^{55} - 2 q^{57} - 12 q^{58} + 58 q^{60} - 112 q^{61} - 64 q^{63} + 92 q^{66} - 8 q^{67} + 8 q^{70} - 88 q^{72} + 76 q^{73} + 80 q^{75} + 36 q^{76} - 36 q^{78} + 4 q^{81} + 20 q^{82} - 28 q^{85} - 4 q^{87} + 140 q^{88} + 76 q^{90} - 24 q^{91} - 48 q^{93} + 32 q^{96} + 32 q^{97}+O(q^{100}) \) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.885404 0.885404i 0.626075 0.626075i −0.321003 0.947078i \(-0.604020\pi\)
0.947078 + 0.321003i \(0.104020\pi\)
\(3\) −1.72118 + 0.193756i −0.993723 + 0.111865i
\(4\) 0.432118i 0.216059i
\(5\) 0.370079 2.20523i 0.165504 0.986209i
\(6\) −1.35239 + 1.69549i −0.552110 + 0.692182i
\(7\) 0.957875 + 0.957875i 0.362043 + 0.362043i 0.864565 0.502522i \(-0.167594\pi\)
−0.502522 + 0.864565i \(0.667594\pi\)
\(8\) 2.15341 + 2.15341i 0.761345 + 0.761345i
\(9\) 2.92492 0.666976i 0.974973 0.222325i
\(10\) −1.62485 2.28019i −0.513823 0.721060i
\(11\) 5.76910i 1.73945i −0.493539 0.869724i \(-0.664297\pi\)
0.493539 0.869724i \(-0.335703\pi\)
\(12\) −0.0837253 0.743753i −0.0241694 0.214703i
\(13\) 4.19305 4.19305i 1.16294 1.16294i 0.179114 0.983828i \(-0.442677\pi\)
0.983828 0.179114i \(-0.0573230\pi\)
\(14\) 1.69621 0.453332
\(15\) −0.209697 + 3.86730i −0.0541434 + 0.998533i
\(16\) 2.94904 0.737259
\(17\) −2.99634 + 2.99634i −0.726719 + 0.726719i −0.969965 0.243246i \(-0.921788\pi\)
0.243246 + 0.969965i \(0.421788\pi\)
\(18\) 1.99919 3.18028i 0.471214 0.749599i
\(19\) 1.00000i 0.229416i
\(20\) 0.952920 + 0.159918i 0.213079 + 0.0357587i
\(21\) −1.83427 1.46308i −0.400270 0.319270i
\(22\) −5.10798 5.10798i −1.08903 1.08903i
\(23\) 1.13944 + 1.13944i 0.237589 + 0.237589i 0.815851 0.578262i \(-0.196269\pi\)
−0.578262 + 0.815851i \(0.696269\pi\)
\(24\) −4.12364 3.28917i −0.841734 0.671398i
\(25\) −4.72608 1.63222i −0.945217 0.326444i
\(26\) 7.42509i 1.45618i
\(27\) −4.90508 + 1.71471i −0.943983 + 0.329995i
\(28\) −0.413915 + 0.413915i −0.0782226 + 0.0782226i
\(29\) 5.41821 1.00614 0.503068 0.864247i \(-0.332205\pi\)
0.503068 + 0.864247i \(0.332205\pi\)
\(30\) 3.23846 + 3.60979i 0.591259 + 0.659055i
\(31\) −0.142123 −0.0255260 −0.0127630 0.999919i \(-0.504063\pi\)
−0.0127630 + 0.999919i \(0.504063\pi\)
\(32\) −1.69572 + 1.69572i −0.299765 + 0.299765i
\(33\) 1.11779 + 9.92965i 0.194583 + 1.72853i
\(34\) 5.30595i 0.909962i
\(35\) 2.46682 1.75785i 0.416969 0.297130i
\(36\) 0.288212 + 1.26391i 0.0480354 + 0.210652i
\(37\) 6.07758 + 6.07758i 0.999149 + 0.999149i 1.00000 0.000851107i \(-0.000270916\pi\)
−0.000851107 1.00000i \(0.500271\pi\)
\(38\) 0.885404 + 0.885404i 0.143632 + 0.143632i
\(39\) −6.40456 + 8.02941i −1.02555 + 1.28574i
\(40\) 5.54569 3.95183i 0.876851 0.624839i
\(41\) 3.96069i 0.618556i −0.950972 0.309278i \(-0.899913\pi\)
0.950972 0.309278i \(-0.100087\pi\)
\(42\) −2.91949 + 0.328651i −0.450487 + 0.0507119i
\(43\) −7.73851 + 7.73851i −1.18011 + 1.18011i −0.200398 + 0.979715i \(0.564223\pi\)
−0.979715 + 0.200398i \(0.935777\pi\)
\(44\) 2.49293 0.375823
\(45\) −0.388386 6.69695i −0.0578972 0.998323i
\(46\) 2.01773 0.297497
\(47\) −4.30006 + 4.30006i −0.627228 + 0.627228i −0.947370 0.320142i \(-0.896270\pi\)
0.320142 + 0.947370i \(0.396270\pi\)
\(48\) −5.07582 + 0.571393i −0.732632 + 0.0824734i
\(49\) 5.16495i 0.737850i
\(50\) −5.62967 + 2.73932i −0.796155 + 0.387399i
\(51\) 4.57668 5.73780i 0.640864 0.803452i
\(52\) 1.81189 + 1.81189i 0.251264 + 0.251264i
\(53\) −1.94543 1.94543i −0.267226 0.267226i 0.560756 0.827981i \(-0.310511\pi\)
−0.827981 + 0.560756i \(0.810511\pi\)
\(54\) −2.82477 + 5.86118i −0.384403 + 0.797606i
\(55\) −12.7222 2.13502i −1.71546 0.287886i
\(56\) 4.12539i 0.551279i
\(57\) −0.193756 1.72118i −0.0256636 0.227976i
\(58\) 4.79730 4.79730i 0.629917 0.629917i
\(59\) −6.82393 −0.888400 −0.444200 0.895928i \(-0.646512\pi\)
−0.444200 + 0.895928i \(0.646512\pi\)
\(60\) −1.67113 0.0906136i −0.215742 0.0116982i
\(61\) 3.11759 0.399167 0.199583 0.979881i \(-0.436041\pi\)
0.199583 + 0.979881i \(0.436041\pi\)
\(62\) −0.125836 + 0.125836i −0.0159812 + 0.0159812i
\(63\) 3.44059 + 2.16283i 0.433473 + 0.272490i
\(64\) 8.90088i 1.11261i
\(65\) −7.69488 10.7984i −0.954432 1.33938i
\(66\) 9.78145 + 7.80205i 1.20401 + 0.960366i
\(67\) 1.30306 + 1.30306i 0.159194 + 0.159194i 0.782209 0.623016i \(-0.214093\pi\)
−0.623016 + 0.782209i \(0.714093\pi\)
\(68\) −1.29477 1.29477i −0.157014 0.157014i
\(69\) −2.18195 1.74040i −0.262676 0.209520i
\(70\) 0.627733 3.74054i 0.0750284 0.447080i
\(71\) 2.68963i 0.319200i 0.987182 + 0.159600i \(0.0510204\pi\)
−0.987182 + 0.159600i \(0.948980\pi\)
\(72\) 7.73481 + 4.86227i 0.911556 + 0.573024i
\(73\) −8.18568 + 8.18568i −0.958062 + 0.958062i −0.999155 0.0410935i \(-0.986916\pi\)
0.0410935 + 0.999155i \(0.486916\pi\)
\(74\) 10.7622 1.25108
\(75\) 8.45069 + 1.89364i 0.975801 + 0.218658i
\(76\) −0.432118 −0.0495673
\(77\) 5.52607 5.52607i 0.629754 0.629754i
\(78\) 1.43865 + 12.7799i 0.162895 + 1.44704i
\(79\) 11.2178i 1.26210i 0.775741 + 0.631052i \(0.217377\pi\)
−0.775741 + 0.631052i \(0.782623\pi\)
\(80\) 1.09138 6.50331i 0.122020 0.727092i
\(81\) 8.11029 3.90170i 0.901143 0.433522i
\(82\) −3.50681 3.50681i −0.387263 0.387263i
\(83\) −4.47551 4.47551i −0.491251 0.491251i 0.417449 0.908700i \(-0.362924\pi\)
−0.908700 + 0.417449i \(0.862924\pi\)
\(84\) 0.632224 0.792620i 0.0689813 0.0864820i
\(85\) 5.49874 + 7.71650i 0.596422 + 0.836972i
\(86\) 13.7034i 1.47768i
\(87\) −9.32571 + 1.04981i −0.999821 + 0.112551i
\(88\) 12.4232 12.4232i 1.32432 1.32432i
\(89\) −5.91905 −0.627418 −0.313709 0.949519i \(-0.601572\pi\)
−0.313709 + 0.949519i \(0.601572\pi\)
\(90\) −6.27339 5.58563i −0.661273 0.588777i
\(91\) 8.03283 0.842069
\(92\) −0.492371 + 0.492371i −0.0513333 + 0.0513333i
\(93\) 0.244619 0.0275371i 0.0253658 0.00285546i
\(94\) 7.61458i 0.785384i
\(95\) 2.20523 + 0.370079i 0.226252 + 0.0379693i
\(96\) 2.59009 3.24720i 0.264350 0.331416i
\(97\) −2.71469 2.71469i −0.275635 0.275635i 0.555729 0.831364i \(-0.312439\pi\)
−0.831364 + 0.555729i \(0.812439\pi\)
\(98\) −4.57307 4.57307i −0.461950 0.461950i
\(99\) −3.84785 16.8741i −0.386723 1.69591i
\(100\) 0.705311 2.04223i 0.0705311 0.204223i
\(101\) 7.88050i 0.784139i −0.919935 0.392070i \(-0.871759\pi\)
0.919935 0.392070i \(-0.128241\pi\)
\(102\) −1.02806 9.13248i −0.101793 0.904251i
\(103\) 7.09325 7.09325i 0.698919 0.698919i −0.265259 0.964177i \(-0.585457\pi\)
0.964177 + 0.265259i \(0.0854573\pi\)
\(104\) 18.0587 1.77080
\(105\) −3.90526 + 3.50353i −0.381114 + 0.341909i
\(106\) −3.44499 −0.334607
\(107\) 4.04838 4.04838i 0.391372 0.391372i −0.483804 0.875176i \(-0.660745\pi\)
0.875176 + 0.483804i \(0.160745\pi\)
\(108\) −0.740955 2.11957i −0.0712984 0.203956i
\(109\) 6.96601i 0.667222i −0.942711 0.333611i \(-0.891733\pi\)
0.942711 0.333611i \(-0.108267\pi\)
\(110\) −13.1546 + 9.37392i −1.25425 + 0.893768i
\(111\) −11.6382 9.28305i −1.10465 0.881108i
\(112\) 2.82481 + 2.82481i 0.266919 + 0.266919i
\(113\) 14.1341 + 14.1341i 1.32962 + 1.32962i 0.905698 + 0.423923i \(0.139347\pi\)
0.423923 + 0.905698i \(0.360653\pi\)
\(114\) −1.69549 1.35239i −0.158797 0.126663i
\(115\) 2.93440 2.09104i 0.273635 0.194991i
\(116\) 2.34130i 0.217385i
\(117\) 9.46765 15.0610i 0.875285 1.39239i
\(118\) −6.04194 + 6.04194i −0.556205 + 0.556205i
\(119\) −5.74024 −0.526207
\(120\) −8.77944 + 7.87632i −0.801450 + 0.719006i
\(121\) −22.2825 −2.02568
\(122\) 2.76033 2.76033i 0.249909 0.249909i
\(123\) 0.767406 + 6.81706i 0.0691947 + 0.614673i
\(124\) 0.0614138i 0.00551513i
\(125\) −5.34844 + 9.81805i −0.478379 + 0.878153i
\(126\) 4.96128 1.13133i 0.441986 0.100787i
\(127\) 0.253992 + 0.253992i 0.0225382 + 0.0225382i 0.718286 0.695748i \(-0.244927\pi\)
−0.695748 + 0.718286i \(0.744927\pi\)
\(128\) 4.48943 + 4.48943i 0.396813 + 0.396813i
\(129\) 11.8200 14.8188i 1.04069 1.30472i
\(130\) −16.3740 2.74787i −1.43610 0.241004i
\(131\) 6.57196i 0.574195i 0.957901 + 0.287097i \(0.0926904\pi\)
−0.957901 + 0.287097i \(0.907310\pi\)
\(132\) −4.29078 + 0.483019i −0.373464 + 0.0420414i
\(133\) −0.957875 + 0.957875i −0.0830583 + 0.0830583i
\(134\) 2.30746 0.199335
\(135\) 1.96605 + 11.4514i 0.169211 + 0.985580i
\(136\) −12.9047 −1.10657
\(137\) −5.05184 + 5.05184i −0.431608 + 0.431608i −0.889175 0.457567i \(-0.848721\pi\)
0.457567 + 0.889175i \(0.348721\pi\)
\(138\) −3.47287 + 0.390946i −0.295630 + 0.0332795i
\(139\) 10.2795i 0.871893i 0.899973 + 0.435946i \(0.143586\pi\)
−0.899973 + 0.435946i \(0.856414\pi\)
\(140\) 0.759597 + 1.06596i 0.0641977 + 0.0900900i
\(141\) 6.56801 8.23434i 0.553127 0.693456i
\(142\) 2.38141 + 2.38141i 0.199843 + 0.199843i
\(143\) −24.1901 24.1901i −2.02288 2.02288i
\(144\) 8.62569 1.96694i 0.718808 0.163912i
\(145\) 2.00516 11.9484i 0.166520 0.992260i
\(146\) 14.4953i 1.19964i
\(147\) 1.00074 + 8.88981i 0.0825395 + 0.733219i
\(148\) −2.62623 + 2.62623i −0.215875 + 0.215875i
\(149\) 3.47340 0.284552 0.142276 0.989827i \(-0.454558\pi\)
0.142276 + 0.989827i \(0.454558\pi\)
\(150\) 9.15891 5.80564i 0.747822 0.474029i
\(151\) 10.4172 0.847738 0.423869 0.905724i \(-0.360672\pi\)
0.423869 + 0.905724i \(0.360672\pi\)
\(152\) −2.15341 + 2.15341i −0.174664 + 0.174664i
\(153\) −6.76556 + 10.7625i −0.546963 + 0.870099i
\(154\) 9.78562i 0.788548i
\(155\) −0.0525967 + 0.313414i −0.00422467 + 0.0251740i
\(156\) −3.46965 2.76753i −0.277795 0.221579i
\(157\) −10.0428 10.0428i −0.801502 0.801502i 0.181828 0.983330i \(-0.441799\pi\)
−0.983330 + 0.181828i \(0.941799\pi\)
\(158\) 9.93231 + 9.93231i 0.790172 + 0.790172i
\(159\) 3.72538 + 2.97150i 0.295442 + 0.235655i
\(160\) 3.11191 + 4.36702i 0.246018 + 0.345243i
\(161\) 2.18288i 0.172035i
\(162\) 3.72630 10.6355i 0.292766 0.835601i
\(163\) 3.11394 3.11394i 0.243903 0.243903i −0.574560 0.818463i \(-0.694827\pi\)
0.818463 + 0.574560i \(0.194827\pi\)
\(164\) 1.71149 0.133645
\(165\) 22.3108 + 1.20976i 1.73690 + 0.0941796i
\(166\) −7.92527 −0.615120
\(167\) 5.90914 5.90914i 0.457263 0.457263i −0.440493 0.897756i \(-0.645196\pi\)
0.897756 + 0.440493i \(0.145196\pi\)
\(168\) −0.799318 7.10054i −0.0616687 0.547818i
\(169\) 22.1633i 1.70487i
\(170\) 11.7008 + 1.96362i 0.897413 + 0.150603i
\(171\) 0.666976 + 2.92492i 0.0510050 + 0.223674i
\(172\) −3.34395 3.34395i −0.254974 0.254974i
\(173\) 6.01653 + 6.01653i 0.457428 + 0.457428i 0.897810 0.440382i \(-0.145157\pi\)
−0.440382 + 0.897810i \(0.645157\pi\)
\(174\) −7.32752 + 9.18653i −0.555498 + 0.696429i
\(175\) −2.96354 6.09046i −0.224022 0.460395i
\(176\) 17.0133i 1.28242i
\(177\) 11.7452 1.32217i 0.882824 0.0993807i
\(178\) −5.24075 + 5.24075i −0.392811 + 0.392811i
\(179\) −12.9223 −0.965858 −0.482929 0.875660i \(-0.660427\pi\)
−0.482929 + 0.875660i \(0.660427\pi\)
\(180\) 2.89387 0.167829i 0.215697 0.0125092i
\(181\) 6.28885 0.467447 0.233723 0.972303i \(-0.424909\pi\)
0.233723 + 0.972303i \(0.424909\pi\)
\(182\) 7.11230 7.11230i 0.527199 0.527199i
\(183\) −5.36594 + 0.604051i −0.396662 + 0.0446527i
\(184\) 4.90735i 0.361774i
\(185\) 15.6517 11.1533i 1.15073 0.820006i
\(186\) 0.192205 0.240968i 0.0140932 0.0176686i
\(187\) 17.2862 + 17.2862i 1.26409 + 1.26409i
\(188\) −1.85813 1.85813i −0.135518 0.135518i
\(189\) −6.34092 3.05598i −0.461234 0.222290i
\(190\) 2.28019 1.62485i 0.165422 0.117879i
\(191\) 15.7037i 1.13628i 0.822933 + 0.568139i \(0.192336\pi\)
−0.822933 + 0.568139i \(0.807664\pi\)
\(192\) −1.72460 15.3200i −0.124462 1.10563i
\(193\) 3.21106 3.21106i 0.231137 0.231137i −0.582030 0.813167i \(-0.697741\pi\)
0.813167 + 0.582030i \(0.197741\pi\)
\(194\) −4.80719 −0.345136
\(195\) 15.3365 + 17.0950i 1.09827 + 1.22420i
\(196\) 2.23187 0.159419
\(197\) −12.2231 + 12.2231i −0.870859 + 0.870859i −0.992566 0.121707i \(-0.961163\pi\)
0.121707 + 0.992566i \(0.461163\pi\)
\(198\) −18.3473 11.5335i −1.30389 0.819652i
\(199\) 12.8011i 0.907446i 0.891143 + 0.453723i \(0.149905\pi\)
−0.891143 + 0.453723i \(0.850095\pi\)
\(200\) −6.66235 13.6920i −0.471099 0.968172i
\(201\) −2.49527 1.99032i −0.176003 0.140386i
\(202\) −6.97743 6.97743i −0.490930 0.490930i
\(203\) 5.18996 + 5.18996i 0.364264 + 0.364264i
\(204\) 2.47941 + 1.97767i 0.173593 + 0.138464i
\(205\) −8.73423 1.46577i −0.610025 0.102374i
\(206\) 12.5608i 0.875152i
\(207\) 4.09274 + 2.57278i 0.284465 + 0.178821i
\(208\) 12.3655 12.3655i 0.857390 0.857390i
\(209\) 5.76910 0.399057
\(210\) −0.355690 + 6.55977i −0.0245449 + 0.452667i
\(211\) 22.5415 1.55182 0.775912 0.630842i \(-0.217290\pi\)
0.775912 + 0.630842i \(0.217290\pi\)
\(212\) 0.840657 0.840657i 0.0577366 0.0577366i
\(213\) −0.521130 4.62933i −0.0357073 0.317197i
\(214\) 7.16891i 0.490056i
\(215\) 14.2013 + 19.9291i 0.968524 + 1.35915i
\(216\) −14.2551 6.87017i −0.969936 0.467456i
\(217\) −0.136136 0.136136i −0.00924151 0.00924151i
\(218\) −6.16773 6.16773i −0.417732 0.417732i
\(219\) 12.5030 15.6751i 0.844875 1.05922i
\(220\) 0.922581 5.49749i 0.0622004 0.370640i
\(221\) 25.1276i 1.69026i
\(222\) −18.5237 + 2.08524i −1.24323 + 0.139952i
\(223\) 4.19021 4.19021i 0.280597 0.280597i −0.552750 0.833347i \(-0.686422\pi\)
0.833347 + 0.552750i \(0.186422\pi\)
\(224\) −3.24858 −0.217055
\(225\) −14.9121 1.62192i −0.994137 0.108128i
\(226\) 25.0287 1.66489
\(227\) −13.0640 + 13.0640i −0.867090 + 0.867090i −0.992149 0.125059i \(-0.960088\pi\)
0.125059 + 0.992149i \(0.460088\pi\)
\(228\) 0.743753 0.0837253i 0.0492562 0.00554484i
\(229\) 6.53325i 0.431729i 0.976423 + 0.215865i \(0.0692570\pi\)
−0.976423 + 0.215865i \(0.930743\pi\)
\(230\) 0.746718 4.44955i 0.0492371 0.293395i
\(231\) −8.44065 + 10.5821i −0.555354 + 0.696249i
\(232\) 11.6676 + 11.6676i 0.766016 + 0.766016i
\(233\) −12.2101 12.2101i −0.799908 0.799908i 0.183173 0.983081i \(-0.441363\pi\)
−0.983081 + 0.183173i \(0.941363\pi\)
\(234\) −4.95236 21.7178i −0.323746 1.41973i
\(235\) 7.89126 + 11.0740i 0.514769 + 0.722387i
\(236\) 2.94874i 0.191947i
\(237\) −2.17352 19.3079i −0.141185 1.25418i
\(238\) −5.08243 + 5.08243i −0.329445 + 0.329445i
\(239\) −0.772855 −0.0499918 −0.0249959 0.999688i \(-0.507957\pi\)
−0.0249959 + 0.999688i \(0.507957\pi\)
\(240\) −0.618403 + 11.4048i −0.0399177 + 0.736178i
\(241\) 3.66160 0.235864 0.117932 0.993022i \(-0.462373\pi\)
0.117932 + 0.993022i \(0.462373\pi\)
\(242\) −19.7290 + 19.7290i −1.26823 + 1.26823i
\(243\) −13.2033 + 8.28694i −0.846991 + 0.531608i
\(244\) 1.34717i 0.0862436i
\(245\) −11.3899 1.91144i −0.727674 0.122117i
\(246\) 6.71532 + 5.35639i 0.428153 + 0.341511i
\(247\) 4.19305 + 4.19305i 0.266797 + 0.266797i
\(248\) −0.306048 0.306048i −0.0194341 0.0194341i
\(249\) 8.57030 + 6.83600i 0.543121 + 0.433214i
\(250\) 3.95741 + 13.4285i 0.250289 + 0.849292i
\(251\) 5.65359i 0.356852i −0.983953 0.178426i \(-0.942900\pi\)
0.983953 0.178426i \(-0.0571005\pi\)
\(252\) −0.934596 + 1.48674i −0.0588740 + 0.0936558i
\(253\) 6.57352 6.57352i 0.413274 0.413274i
\(254\) 0.449772 0.0282212
\(255\) −10.9594 12.2161i −0.686306 0.765000i
\(256\) −9.85184 −0.615740
\(257\) 1.18326 1.18326i 0.0738095 0.0738095i −0.669238 0.743048i \(-0.733379\pi\)
0.743048 + 0.669238i \(0.233379\pi\)
\(258\) −2.65512 23.5861i −0.165300 1.46840i
\(259\) 11.6431i 0.723469i
\(260\) 4.66618 3.32510i 0.289384 0.206214i
\(261\) 15.8478 3.61382i 0.980955 0.223690i
\(262\) 5.81884 + 5.81884i 0.359489 + 0.359489i
\(263\) −6.98982 6.98982i −0.431011 0.431011i 0.457961 0.888972i \(-0.348580\pi\)
−0.888972 + 0.457961i \(0.848580\pi\)
\(264\) −18.9755 + 23.7897i −1.16786 + 1.46415i
\(265\) −5.01009 + 3.57017i −0.307768 + 0.219314i
\(266\) 1.69621i 0.104002i
\(267\) 10.1877 1.14685i 0.623480 0.0701860i
\(268\) −0.563074 + 0.563074i −0.0343952 + 0.0343952i
\(269\) −5.47134 −0.333593 −0.166797 0.985991i \(-0.553342\pi\)
−0.166797 + 0.985991i \(0.553342\pi\)
\(270\) 11.8799 + 8.39837i 0.722986 + 0.511109i
\(271\) −19.9403 −1.21129 −0.605645 0.795735i \(-0.707085\pi\)
−0.605645 + 0.795735i \(0.707085\pi\)
\(272\) −8.83632 + 8.83632i −0.535781 + 0.535781i
\(273\) −13.8259 + 1.55641i −0.836784 + 0.0941980i
\(274\) 8.94585i 0.540438i
\(275\) −9.41643 + 27.2652i −0.567832 + 1.64415i
\(276\) 0.752060 0.942859i 0.0452687 0.0567535i
\(277\) 20.8041 + 20.8041i 1.25000 + 1.25000i 0.955719 + 0.294279i \(0.0950796\pi\)
0.294279 + 0.955719i \(0.404920\pi\)
\(278\) 9.10148 + 9.10148i 0.545871 + 0.545871i
\(279\) −0.415698 + 0.0947926i −0.0248872 + 0.00567508i
\(280\) 9.09744 + 1.52672i 0.543676 + 0.0912390i
\(281\) 7.98296i 0.476224i −0.971238 0.238112i \(-0.923472\pi\)
0.971238 0.238112i \(-0.0765285\pi\)
\(282\) −1.47537 13.1061i −0.0878569 0.780455i
\(283\) 17.2991 17.2991i 1.02832 1.02832i 0.0287372 0.999587i \(-0.490851\pi\)
0.999587 0.0287372i \(-0.00914859\pi\)
\(284\) −1.16224 −0.0689660
\(285\) −3.86730 0.209697i −0.229079 0.0124213i
\(286\) −42.8360 −2.53295
\(287\) 3.79385 3.79385i 0.223944 0.223944i
\(288\) −3.82885 + 6.09086i −0.225617 + 0.358908i
\(289\) 0.956108i 0.0562417i
\(290\) −8.80378 12.3545i −0.516976 0.725484i
\(291\) 5.19845 + 4.14648i 0.304739 + 0.243071i
\(292\) −3.53718 3.53718i −0.206998 0.206998i
\(293\) 19.8482 + 19.8482i 1.15955 + 1.15955i 0.984573 + 0.174973i \(0.0559838\pi\)
0.174973 + 0.984573i \(0.444016\pi\)
\(294\) 8.75713 + 6.98502i 0.510726 + 0.407374i
\(295\) −2.52539 + 15.0483i −0.147034 + 0.876148i
\(296\) 26.1750i 1.52139i
\(297\) 9.89230 + 28.2979i 0.574009 + 1.64201i
\(298\) 3.07537 3.07537i 0.178151 0.178151i
\(299\) 9.55543 0.552605
\(300\) −0.818274 + 3.65170i −0.0472431 + 0.210831i
\(301\) −14.8251 −0.854502
\(302\) 9.22342 9.22342i 0.530748 0.530748i
\(303\) 1.52689 + 13.5638i 0.0877176 + 0.779218i
\(304\) 2.94904i 0.169139i
\(305\) 1.15376 6.87501i 0.0660639 0.393662i
\(306\) 3.53894 + 15.5195i 0.202308 + 0.887188i
\(307\) −11.2484 11.2484i −0.641978 0.641978i 0.309063 0.951041i \(-0.399984\pi\)
−0.951041 + 0.309063i \(0.899984\pi\)
\(308\) 2.38792 + 2.38792i 0.136064 + 0.136064i
\(309\) −10.8344 + 13.5831i −0.616347 + 0.772716i
\(310\) 0.230928 + 0.324067i 0.0131159 + 0.0184058i
\(311\) 29.9246i 1.69687i −0.529301 0.848434i \(-0.677546\pi\)
0.529301 0.848434i \(-0.322454\pi\)
\(312\) −31.0822 + 3.49897i −1.75969 + 0.198090i
\(313\) 13.5453 13.5453i 0.765628 0.765628i −0.211705 0.977334i \(-0.567902\pi\)
0.977334 + 0.211705i \(0.0679017\pi\)
\(314\) −17.7839 −1.00360
\(315\) 6.04282 6.78687i 0.340474 0.382397i
\(316\) −4.84742 −0.272689
\(317\) 3.66554 3.66554i 0.205877 0.205877i −0.596635 0.802513i \(-0.703496\pi\)
0.802513 + 0.596635i \(0.203496\pi\)
\(318\) 5.92945 0.667486i 0.332507 0.0374308i
\(319\) 31.2582i 1.75012i
\(320\) 19.6285 + 3.29403i 1.09727 + 0.184142i
\(321\) −6.18359 + 7.75239i −0.345134 + 0.432696i
\(322\) 1.93273 + 1.93273i 0.107707 + 0.107707i
\(323\) −2.99634 2.99634i −0.166721 0.166721i
\(324\) 1.68600 + 3.50460i 0.0936664 + 0.194700i
\(325\) −26.6607 + 12.9727i −1.47887 + 0.719597i
\(326\) 5.51420i 0.305403i
\(327\) 1.34970 + 11.9897i 0.0746387 + 0.663035i
\(328\) 8.52898 8.52898i 0.470934 0.470934i
\(329\) −8.23784 −0.454167
\(330\) 20.8252 18.6830i 1.14639 1.02846i
\(331\) −31.2899 −1.71985 −0.859923 0.510424i \(-0.829488\pi\)
−0.859923 + 0.510424i \(0.829488\pi\)
\(332\) 1.93395 1.93395i 0.106139 0.106139i
\(333\) 21.8300 + 13.7228i 1.19628 + 0.752006i
\(334\) 10.4640i 0.572563i
\(335\) 3.35577 2.39131i 0.183346 0.130651i
\(336\) −5.40933 4.31468i −0.295103 0.235385i
\(337\) −7.57141 7.57141i −0.412441 0.412441i 0.470147 0.882588i \(-0.344201\pi\)
−0.882588 + 0.470147i \(0.844201\pi\)
\(338\) −19.6235 19.6235i −1.06738 1.06738i
\(339\) −27.0658 21.5887i −1.47001 1.17254i
\(340\) −3.33444 + 2.37610i −0.180835 + 0.128862i
\(341\) 0.819920i 0.0444012i
\(342\) 3.18028 + 1.99919i 0.171970 + 0.108104i
\(343\) 11.6525 11.6525i 0.629176 0.629176i
\(344\) −33.3284 −1.79694
\(345\) −4.64549 + 4.16761i −0.250105 + 0.224377i
\(346\) 10.6541 0.572769
\(347\) −9.67210 + 9.67210i −0.519226 + 0.519226i −0.917337 0.398111i \(-0.869666\pi\)
0.398111 + 0.917337i \(0.369666\pi\)
\(348\) −0.453641 4.02981i −0.0243177 0.216020i
\(349\) 13.9212i 0.745184i 0.927995 + 0.372592i \(0.121531\pi\)
−0.927995 + 0.372592i \(0.878469\pi\)
\(350\) −8.01645 2.76859i −0.428497 0.147987i
\(351\) −13.3774 + 27.7571i −0.714032 + 1.48156i
\(352\) 9.78280 + 9.78280i 0.521425 + 0.521425i
\(353\) −7.72133 7.72133i −0.410965 0.410965i 0.471110 0.882075i \(-0.343854\pi\)
−0.882075 + 0.471110i \(0.843854\pi\)
\(354\) 9.22860 11.5699i 0.490494 0.614934i
\(355\) 5.93125 + 0.995374i 0.314798 + 0.0528290i
\(356\) 2.55773i 0.135559i
\(357\) 9.87998 1.11220i 0.522904 0.0588640i
\(358\) −11.4415 + 11.4415i −0.604700 + 0.604700i
\(359\) 5.03716 0.265851 0.132925 0.991126i \(-0.457563\pi\)
0.132925 + 0.991126i \(0.457563\pi\)
\(360\) 13.5849 15.2576i 0.715988 0.804147i
\(361\) −1.00000 −0.0526316
\(362\) 5.56818 5.56818i 0.292657 0.292657i
\(363\) 38.3521 4.31735i 2.01296 0.226602i
\(364\) 3.47113i 0.181937i
\(365\) 15.0220 + 21.0807i 0.786286 + 1.10341i
\(366\) −4.21620 + 5.28585i −0.220384 + 0.276296i
\(367\) 10.0709 + 10.0709i 0.525695 + 0.525695i 0.919286 0.393590i \(-0.128767\pi\)
−0.393590 + 0.919286i \(0.628767\pi\)
\(368\) 3.36024 + 3.36024i 0.175165 + 0.175165i
\(369\) −2.64169 11.5847i −0.137521 0.603075i
\(370\) 3.98288 23.7332i 0.207060 1.23383i
\(371\) 3.72696i 0.193494i
\(372\) 0.0118993 + 0.105704i 0.000616949 + 0.00548051i
\(373\) −8.64506 + 8.64506i −0.447624 + 0.447624i −0.894564 0.446940i \(-0.852514\pi\)
0.446940 + 0.894564i \(0.352514\pi\)
\(374\) 30.6105 1.58283
\(375\) 7.30333 17.9349i 0.377142 0.926155i
\(376\) −18.5196 −0.955074
\(377\) 22.7188 22.7188i 1.17008 1.17008i
\(378\) −8.32006 + 2.90851i −0.427938 + 0.149597i
\(379\) 35.4677i 1.82185i −0.412568 0.910927i \(-0.635368\pi\)
0.412568 0.910927i \(-0.364632\pi\)
\(380\) −0.159918 + 0.952920i −0.00820361 + 0.0488838i
\(381\) −0.486379 0.387954i −0.0249179 0.0198755i
\(382\) 13.9041 + 13.9041i 0.711395 + 0.711395i
\(383\) −12.6383 12.6383i −0.645788 0.645788i 0.306184 0.951972i \(-0.400948\pi\)
−0.951972 + 0.306184i \(0.900948\pi\)
\(384\) −8.59697 6.85726i −0.438712 0.349933i
\(385\) −10.1412 14.2313i −0.516842 0.725297i
\(386\) 5.68618i 0.289419i
\(387\) −17.4731 + 27.7959i −0.888208 + 1.41295i
\(388\) 1.17307 1.17307i 0.0595534 0.0595534i
\(389\) −13.9740 −0.708509 −0.354254 0.935149i \(-0.615265\pi\)
−0.354254 + 0.935149i \(0.615265\pi\)
\(390\) 28.7150 + 1.55701i 1.45404 + 0.0788425i
\(391\) −6.82828 −0.345321
\(392\) 11.1222 11.1222i 0.561758 0.561758i
\(393\) −1.27335 11.3115i −0.0642322 0.570591i
\(394\) 21.6448i 1.09045i
\(395\) 24.7379 + 4.15148i 1.24470 + 0.208884i
\(396\) 7.29161 1.66273i 0.366417 0.0835551i
\(397\) −21.3847 21.3847i −1.07327 1.07327i −0.997095 0.0761712i \(-0.975730\pi\)
−0.0761712 0.997095i \(-0.524270\pi\)
\(398\) 11.3342 + 11.3342i 0.568130 + 0.568130i
\(399\) 1.46308 1.83427i 0.0732457 0.0918283i
\(400\) −13.9374 4.81347i −0.696870 0.240674i
\(401\) 8.19406i 0.409192i 0.978846 + 0.204596i \(0.0655881\pi\)
−0.978846 + 0.204596i \(0.934412\pi\)
\(402\) −3.97156 + 0.447084i −0.198083 + 0.0222985i
\(403\) −0.595928 + 0.595928i −0.0296853 + 0.0296853i
\(404\) 3.40531 0.169420
\(405\) −5.60271 19.3290i −0.278401 0.960465i
\(406\) 9.19044 0.456114
\(407\) 35.0622 35.0622i 1.73797 1.73797i
\(408\) 22.2113 2.50036i 1.09962 0.123786i
\(409\) 16.6103i 0.821327i 0.911787 + 0.410663i \(0.134703\pi\)
−0.911787 + 0.410663i \(0.865297\pi\)
\(410\) −9.03113 + 6.43553i −0.446016 + 0.317828i
\(411\) 7.71631 9.67395i 0.380617 0.477181i
\(412\) 3.06512 + 3.06512i 0.151008 + 0.151008i
\(413\) −6.53647 6.53647i −0.321639 0.321639i
\(414\) 5.90168 1.34578i 0.290052 0.0661413i
\(415\) −11.5258 + 8.21323i −0.565780 + 0.403172i
\(416\) 14.2205i 0.697218i
\(417\) −1.99170 17.6928i −0.0975342 0.866420i
\(418\) 5.10798 5.10798i 0.249840 0.249840i
\(419\) 2.84378 0.138928 0.0694639 0.997584i \(-0.477871\pi\)
0.0694639 + 0.997584i \(0.477871\pi\)
\(420\) −1.51394 1.68753i −0.0738726 0.0823431i
\(421\) 33.4760 1.63152 0.815760 0.578391i \(-0.196319\pi\)
0.815760 + 0.578391i \(0.196319\pi\)
\(422\) 19.9584 19.9584i 0.971559 0.971559i
\(423\) −9.70928 + 15.4454i −0.472081 + 0.750979i
\(424\) 8.37862i 0.406902i
\(425\) 19.0516 9.27027i 0.924140 0.449674i
\(426\) −4.56024 3.63742i −0.220944 0.176234i
\(427\) 2.98626 + 2.98626i 0.144515 + 0.144515i
\(428\) 1.74938 + 1.74938i 0.0845594 + 0.0845594i
\(429\) 46.3225 + 36.9485i 2.23647 + 1.78389i
\(430\) 30.2192 + 5.07135i 1.45730 + 0.244562i
\(431\) 4.04565i 0.194872i −0.995242 0.0974359i \(-0.968936\pi\)
0.995242 0.0974359i \(-0.0310641\pi\)
\(432\) −14.4653 + 5.05673i −0.695960 + 0.243292i
\(433\) 1.14017 1.14017i 0.0547932 0.0547932i −0.679179 0.733972i \(-0.737664\pi\)
0.733972 + 0.679179i \(0.237664\pi\)
\(434\) −0.241071 −0.0115718
\(435\) −1.13618 + 20.9538i −0.0544756 + 1.00466i
\(436\) 3.01014 0.144159
\(437\) −1.13944 + 1.13944i −0.0545067 + 0.0545067i
\(438\) −2.80854 24.9490i −0.134197 1.19211i
\(439\) 1.31398i 0.0627129i −0.999508 0.0313565i \(-0.990017\pi\)
0.999508 0.0313565i \(-0.00998271\pi\)
\(440\) −22.7985 31.9936i −1.08688 1.52524i
\(441\) −3.44490 15.1071i −0.164043 0.719384i
\(442\) 22.2481 + 22.2481i 1.05823 + 1.05823i
\(443\) 5.82858 + 5.82858i 0.276924 + 0.276924i 0.831880 0.554956i \(-0.187265\pi\)
−0.554956 + 0.831880i \(0.687265\pi\)
\(444\) 4.01137 5.02907i 0.190371 0.238669i
\(445\) −2.19051 + 13.0529i −0.103840 + 0.618765i
\(446\) 7.42005i 0.351350i
\(447\) −5.97835 + 0.672991i −0.282766 + 0.0318314i
\(448\) −8.52593 + 8.52593i −0.402812 + 0.402812i
\(449\) −19.4851 −0.919560 −0.459780 0.888033i \(-0.652072\pi\)
−0.459780 + 0.888033i \(0.652072\pi\)
\(450\) −14.6393 + 11.7671i −0.690101 + 0.554709i
\(451\) −22.8496 −1.07595
\(452\) −6.10759 + 6.10759i −0.287277 + 0.287277i
\(453\) −17.9298 + 2.01839i −0.842417 + 0.0948321i
\(454\) 23.1339i 1.08573i
\(455\) 2.97278 17.7142i 0.139366 0.830457i
\(456\) 3.28917 4.12364i 0.154029 0.193107i
\(457\) −17.1876 17.1876i −0.804003 0.804003i 0.179716 0.983719i \(-0.442482\pi\)
−0.983719 + 0.179716i \(0.942482\pi\)
\(458\) 5.78457 + 5.78457i 0.270295 + 0.270295i
\(459\) 9.55944 19.8351i 0.446197 0.925824i
\(460\) 0.903576 + 1.26801i 0.0421295 + 0.0591212i
\(461\) 25.3593i 1.18110i −0.807001 0.590550i \(-0.798911\pi\)
0.807001 0.590550i \(-0.201089\pi\)
\(462\) 1.89602 + 16.8428i 0.0882107 + 0.783598i
\(463\) −0.302508 + 0.302508i −0.0140588 + 0.0140588i −0.714101 0.700042i \(-0.753164\pi\)
0.700042 + 0.714101i \(0.253164\pi\)
\(464\) 15.9785 0.741783
\(465\) 0.0298027 0.549632i 0.00138207 0.0254886i
\(466\) −21.6217 −1.00161
\(467\) 9.35686 9.35686i 0.432984 0.432984i −0.456658 0.889642i \(-0.650954\pi\)
0.889642 + 0.456658i \(0.150954\pi\)
\(468\) 6.50812 + 4.09114i 0.300838 + 0.189113i
\(469\) 2.49633i 0.115270i
\(470\) 16.7919 + 2.81800i 0.774553 + 0.129985i
\(471\) 19.2313 + 15.3396i 0.886131 + 0.706812i
\(472\) −14.6947 14.6947i −0.676378 0.676378i
\(473\) 44.6442 + 44.6442i 2.05274 + 2.05274i
\(474\) −19.0197 15.1709i −0.873605 0.696820i
\(475\) 1.63222 4.72608i 0.0748913 0.216848i
\(476\) 2.48046i 0.113692i
\(477\) −6.98779 4.39267i −0.319949 0.201127i
\(478\) −0.684289 + 0.684289i −0.0312987 + 0.0312987i
\(479\) −9.67857 −0.442225 −0.221113 0.975248i \(-0.570969\pi\)
−0.221113 + 0.975248i \(0.570969\pi\)
\(480\) −6.20229 6.91347i −0.283095 0.315555i
\(481\) 50.9672 2.32390
\(482\) 3.24199 3.24199i 0.147669 0.147669i
\(483\) −0.422945 3.75712i −0.0192446 0.170955i
\(484\) 9.62865i 0.437666i
\(485\) −6.99116 + 4.98187i −0.317452 + 0.226215i
\(486\) −4.35295 + 19.0275i −0.197454 + 0.863107i
\(487\) −19.5461 19.5461i −0.885719 0.885719i 0.108389 0.994109i \(-0.465431\pi\)
−0.994109 + 0.108389i \(0.965431\pi\)
\(488\) 6.71345 + 6.71345i 0.303904 + 0.303904i
\(489\) −4.75631 + 5.96300i −0.215088 + 0.269656i
\(490\) −11.7771 + 8.39228i −0.532034 + 0.379124i
\(491\) 1.56465i 0.0706117i −0.999377 0.0353059i \(-0.988759\pi\)
0.999377 0.0353059i \(-0.0112405\pi\)
\(492\) −2.94577 + 0.331610i −0.132806 + 0.0149501i
\(493\) −16.2348 + 16.2348i −0.731178 + 0.731178i
\(494\) 7.42509 0.334070
\(495\) −38.6353 + 2.24064i −1.73653 + 0.100709i
\(496\) −0.419126 −0.0188193
\(497\) −2.57633 + 2.57633i −0.115564 + 0.115564i
\(498\) 13.6408 1.53556i 0.611259 0.0688103i
\(499\) 19.4523i 0.870806i −0.900236 0.435403i \(-0.856606\pi\)
0.900236 0.435403i \(-0.143394\pi\)
\(500\) −4.24256 2.31116i −0.189733 0.103358i
\(501\) −9.02577 + 11.3156i −0.403242 + 0.505545i
\(502\) −5.00572 5.00572i −0.223416 0.223416i
\(503\) −25.1751 25.1751i −1.12250 1.12250i −0.991364 0.131138i \(-0.958137\pi\)
−0.131138 0.991364i \(-0.541863\pi\)
\(504\) 2.75154 + 12.0664i 0.122563 + 0.537482i
\(505\) −17.3783 2.91641i −0.773325 0.129778i
\(506\) 11.6405i 0.517481i
\(507\) 4.29426 + 38.1470i 0.190715 + 1.69417i
\(508\) −0.109755 + 0.109755i −0.00486957 + 0.00486957i
\(509\) −22.6458 −1.00376 −0.501880 0.864938i \(-0.667358\pi\)
−0.501880 + 0.864938i \(0.667358\pi\)
\(510\) −20.5197 1.11264i −0.908627 0.0492685i
\(511\) −15.6817 −0.693719
\(512\) −17.7017 + 17.7017i −0.782313 + 0.782313i
\(513\) −1.71471 4.90508i −0.0757061 0.216564i
\(514\) 2.09532i 0.0924206i
\(515\) −13.0172 18.2673i −0.573606 0.804954i
\(516\) 6.40345 + 5.10763i 0.281896 + 0.224851i
\(517\) 24.8075 + 24.8075i 1.09103 + 1.09103i
\(518\) 10.3089 + 10.3089i 0.452946 + 0.452946i
\(519\) −11.5213 9.18979i −0.505727 0.403387i
\(520\) 6.68314 39.8236i 0.293075 1.74638i
\(521\) 40.5908i 1.77832i 0.457600 + 0.889158i \(0.348709\pi\)
−0.457600 + 0.889158i \(0.651291\pi\)
\(522\) 10.8320 17.2314i 0.474105 0.754198i
\(523\) 7.23876 7.23876i 0.316529 0.316529i −0.530904 0.847432i \(-0.678147\pi\)
0.847432 + 0.530904i \(0.178147\pi\)
\(524\) −2.83986 −0.124060
\(525\) 6.28084 + 9.90857i 0.274118 + 0.432445i
\(526\) −12.3776 −0.539690
\(527\) 0.425848 0.425848i 0.0185502 0.0185502i
\(528\) 3.29642 + 29.2829i 0.143458 + 1.27438i
\(529\) 20.4034i 0.887103i
\(530\) −1.27492 + 7.59700i −0.0553789 + 0.329993i
\(531\) −19.9594 + 4.55140i −0.866165 + 0.197514i
\(532\) −0.413915 0.413915i −0.0179455 0.0179455i
\(533\) −16.6074 16.6074i −0.719345 0.719345i
\(534\) 8.00485 10.0357i 0.346404 0.434287i
\(535\) −7.42939 10.4258i −0.321201 0.450748i
\(536\) 5.61203i 0.242403i
\(537\) 22.2416 2.50377i 0.959795 0.108046i
\(538\) −4.84435 + 4.84435i −0.208855 + 0.208855i
\(539\) −29.7971 −1.28345
\(540\) −4.94836 + 0.849567i −0.212943 + 0.0365596i
\(541\) 14.2936 0.614529 0.307265 0.951624i \(-0.400586\pi\)
0.307265 + 0.951624i \(0.400586\pi\)
\(542\) −17.6553 + 17.6553i −0.758359 + 0.758359i
\(543\) −10.8242 + 1.21850i −0.464513 + 0.0522908i
\(544\) 10.1619i 0.435689i
\(545\) −15.3617 2.57797i −0.658021 0.110428i
\(546\) −10.8635 + 13.6196i −0.464915 + 0.582865i
\(547\) −11.5579 11.5579i −0.494182 0.494182i 0.415439 0.909621i \(-0.363628\pi\)
−0.909621 + 0.415439i \(0.863628\pi\)
\(548\) −2.18299 2.18299i −0.0932528 0.0932528i
\(549\) 9.11870 2.07936i 0.389177 0.0887450i
\(550\) 15.8034 + 32.4781i 0.673859 + 1.38487i
\(551\) 5.41821i 0.230823i
\(552\) −0.950826 8.44643i −0.0404698 0.359504i
\(553\) −10.7453 + 10.7453i −0.456936 + 0.456936i
\(554\) 36.8401 1.56519
\(555\) −24.7783 + 22.2294i −1.05178 + 0.943586i
\(556\) −4.44194 −0.188380
\(557\) 19.9103 19.9103i 0.843628 0.843628i −0.145701 0.989329i \(-0.546544\pi\)
0.989329 + 0.145701i \(0.0465438\pi\)
\(558\) −0.284131 + 0.451990i −0.0120282 + 0.0191343i
\(559\) 64.8959i 2.74480i
\(560\) 7.27476 5.18395i 0.307415 0.219062i
\(561\) −33.1019 26.4033i −1.39756 1.11475i
\(562\) −7.06815 7.06815i −0.298152 0.298152i
\(563\) 7.53896 + 7.53896i 0.317729 + 0.317729i 0.847894 0.530165i \(-0.177870\pi\)
−0.530165 + 0.847894i \(0.677870\pi\)
\(564\) 3.55820 + 2.83816i 0.149827 + 0.119508i
\(565\) 36.3996 25.9382i 1.53134 1.09123i
\(566\) 30.6334i 1.28762i
\(567\) 11.5060 + 4.03130i 0.483206 + 0.169299i
\(568\) −5.79186 + 5.79186i −0.243021 + 0.243021i
\(569\) 17.8846 0.749759 0.374880 0.927073i \(-0.377684\pi\)
0.374880 + 0.927073i \(0.377684\pi\)
\(570\) −3.60979 + 3.23846i −0.151198 + 0.135644i
\(571\) 35.9205 1.50323 0.751614 0.659603i \(-0.229276\pi\)
0.751614 + 0.659603i \(0.229276\pi\)
\(572\) 10.4530 10.4530i 0.437061 0.437061i
\(573\) −3.04267 27.0288i −0.127110 1.12915i
\(574\) 6.71818i 0.280411i
\(575\) −3.52527 7.24489i −0.147014 0.302133i
\(576\) 5.93668 + 26.0343i 0.247362 + 1.08476i
\(577\) −5.47768 5.47768i −0.228039 0.228039i 0.583834 0.811873i \(-0.301552\pi\)
−0.811873 + 0.583834i \(0.801552\pi\)
\(578\) −0.846543 0.846543i −0.0352115 0.0352115i
\(579\) −4.90466 + 6.14898i −0.203831 + 0.255543i
\(580\) 5.16312 + 0.866468i 0.214387 + 0.0359781i
\(581\) 8.57395i 0.355707i
\(582\) 8.27404 0.931421i 0.342970 0.0386086i
\(583\) −11.2234 + 11.2234i −0.464825 + 0.464825i
\(584\) −35.2542 −1.45883
\(585\) −29.7092 26.4521i −1.22832 1.09366i
\(586\) 35.1474 1.45193
\(587\) 17.3841 17.3841i 0.717518 0.717518i −0.250578 0.968096i \(-0.580621\pi\)
0.968096 + 0.250578i \(0.0806207\pi\)
\(588\) −3.84145 + 0.432437i −0.158419 + 0.0178334i
\(589\) 0.142123i 0.00585607i
\(590\) 11.0879 + 15.5599i 0.456480 + 0.640589i
\(591\) 18.6698 23.4064i 0.767975 0.962812i
\(592\) 17.9230 + 17.9230i 0.736632 + 0.736632i
\(593\) 10.7509 + 10.7509i 0.441488 + 0.441488i 0.892512 0.451024i \(-0.148941\pi\)
−0.451024 + 0.892512i \(0.648941\pi\)
\(594\) 33.8137 + 16.2964i 1.38739 + 0.668648i
\(595\) −2.12434 + 12.6585i −0.0870895 + 0.518950i
\(596\) 1.50092i 0.0614801i
\(597\) −2.48029 22.0330i −0.101511 0.901751i
\(598\) 8.46042 8.46042i 0.345972 0.345972i
\(599\) 11.7645 0.480685 0.240343 0.970688i \(-0.422740\pi\)
0.240343 + 0.970688i \(0.422740\pi\)
\(600\) 14.1200 + 22.2756i 0.576447 + 0.909396i
\(601\) 34.1524 1.39310 0.696552 0.717507i \(-0.254717\pi\)
0.696552 + 0.717507i \(0.254717\pi\)
\(602\) −13.1262 + 13.1262i −0.534983 + 0.534983i
\(603\) 4.68044 + 2.94223i 0.190602 + 0.119817i
\(604\) 4.50145i 0.183161i
\(605\) −8.24627 + 49.1380i −0.335259 + 1.99774i
\(606\) 13.3613 + 10.6575i 0.542767 + 0.432931i
\(607\) −3.49838 3.49838i −0.141995 0.141995i 0.632536 0.774531i \(-0.282014\pi\)
−0.774531 + 0.632536i \(0.782014\pi\)
\(608\) −1.69572 1.69572i −0.0687707 0.0687707i
\(609\) −9.93845 7.92728i −0.402726 0.321229i
\(610\) −5.06563 7.10871i −0.205101 0.287823i
\(611\) 36.0607i 1.45886i
\(612\) −4.65069 2.92352i −0.187993 0.118176i
\(613\) −7.39491 + 7.39491i −0.298678 + 0.298678i −0.840496 0.541818i \(-0.817736\pi\)
0.541818 + 0.840496i \(0.317736\pi\)
\(614\) −19.9187 −0.803854
\(615\) 15.3172 + 0.830543i 0.617649 + 0.0334907i
\(616\) 23.7998 0.958920
\(617\) −13.4682 + 13.4682i −0.542208 + 0.542208i −0.924176 0.381968i \(-0.875247\pi\)
0.381968 + 0.924176i \(0.375247\pi\)
\(618\) 2.43372 + 21.6194i 0.0978987 + 0.869659i
\(619\) 4.12291i 0.165714i −0.996561 0.0828570i \(-0.973596\pi\)
0.996561 0.0828570i \(-0.0264045\pi\)
\(620\) −0.135432 0.0227280i −0.00543907 0.000912777i
\(621\) −7.54283 3.63523i −0.302683 0.145877i
\(622\) −26.4954 26.4954i −1.06237 1.06237i
\(623\) −5.66971 5.66971i −0.227152 0.227152i
\(624\) −18.8873 + 23.6790i −0.756097 + 0.947920i
\(625\) 19.6717 + 15.4280i 0.786869 + 0.617120i
\(626\) 23.9862i 0.958682i
\(627\) −9.92965 + 1.11779i −0.396552 + 0.0446404i
\(628\) 4.33967 4.33967i 0.173172 0.173172i
\(629\) −36.4210 −1.45220
\(630\) −0.658786 11.3595i −0.0262467 0.452572i
\(631\) −28.1835 −1.12197 −0.560983 0.827827i \(-0.689577\pi\)
−0.560983 + 0.827827i \(0.689577\pi\)
\(632\) −24.1566 + 24.1566i −0.960896 + 0.960896i
\(633\) −38.7980 + 4.36755i −1.54208 + 0.173594i
\(634\) 6.49098i 0.257790i
\(635\) 0.654108 0.466114i 0.0259575 0.0184972i
\(636\) −1.28404 + 1.60980i −0.0509155 + 0.0638329i
\(637\) −21.6569 21.6569i −0.858077 0.858077i
\(638\) −27.6761 27.6761i −1.09571 1.09571i
\(639\) 1.79392 + 7.86694i 0.0709663 + 0.311211i
\(640\) 11.5617 8.23878i 0.457015 0.325666i
\(641\) 6.42780i 0.253883i 0.991910 + 0.126941i \(0.0405160\pi\)
−0.991910 + 0.126941i \(0.959484\pi\)
\(642\) 1.38902 + 12.3390i 0.0548201 + 0.486981i
\(643\) 12.0891 12.0891i 0.476747 0.476747i −0.427343 0.904090i \(-0.640550\pi\)
0.904090 + 0.427343i \(0.140550\pi\)
\(644\) −0.943261 −0.0371697
\(645\) −28.3044 31.5499i −1.11449 1.24228i
\(646\) −5.30595 −0.208760
\(647\) 0.510324 0.510324i 0.0200629 0.0200629i −0.697004 0.717067i \(-0.745484\pi\)
0.717067 + 0.697004i \(0.245484\pi\)
\(648\) 25.8667 + 9.06280i 1.01614 + 0.356020i
\(649\) 39.3679i 1.54532i
\(650\) −12.1194 + 35.0916i −0.475361 + 1.37640i
\(651\) 0.260691 + 0.207937i 0.0102173 + 0.00814970i
\(652\) 1.34559 + 1.34559i 0.0526974 + 0.0526974i
\(653\) −22.7131 22.7131i −0.888832 0.888832i 0.105579 0.994411i \(-0.466330\pi\)
−0.994411 + 0.105579i \(0.966330\pi\)
\(654\) 11.8108 + 9.42074i 0.461839 + 0.368380i
\(655\) 14.4927 + 2.43214i 0.566276 + 0.0950318i
\(656\) 11.6802i 0.456036i
\(657\) −18.4828 + 29.4021i −0.721082 + 1.14709i
\(658\) −7.29382 + 7.29382i −0.284343 + 0.284343i
\(659\) 49.6777 1.93517 0.967584 0.252549i \(-0.0812689\pi\)
0.967584 + 0.252549i \(0.0812689\pi\)
\(660\) −0.522759 + 9.64091i −0.0203484 + 0.375272i
\(661\) −12.1261 −0.471651 −0.235826 0.971795i \(-0.575779\pi\)
−0.235826 + 0.971795i \(0.575779\pi\)
\(662\) −27.7042 + 27.7042i −1.07675 + 1.07675i
\(663\) −4.86861 43.2491i −0.189081 1.67966i
\(664\) 19.2752i 0.748022i
\(665\) 1.75785 + 2.46682i 0.0681663 + 0.0956594i
\(666\) 31.4787 7.17816i 1.21977 0.278148i
\(667\) 6.17371 + 6.17371i 0.239047 + 0.239047i
\(668\) 2.55345 + 2.55345i 0.0987959 + 0.0987959i
\(669\) −6.40022 + 8.02397i −0.247447 + 0.310225i
\(670\) 0.853944 5.08849i 0.0329907 0.196586i
\(671\) 17.9857i 0.694330i
\(672\) 5.59140 0.629432i 0.215693 0.0242808i
\(673\) −17.9446 + 17.9446i −0.691715 + 0.691715i −0.962609 0.270894i \(-0.912681\pi\)
0.270894 + 0.962609i \(0.412681\pi\)
\(674\) −13.4075 −0.516438
\(675\) 25.9806 0.0976792i 0.999993 0.00375967i
\(676\) 9.57716 0.368352
\(677\) −6.58850 + 6.58850i −0.253217 + 0.253217i −0.822288 0.569071i \(-0.807303\pi\)
0.569071 + 0.822288i \(0.307303\pi\)
\(678\) −43.0789 + 4.84946i −1.65444 + 0.186242i
\(679\) 5.20066i 0.199583i
\(680\) −4.77575 + 28.4578i −0.183142 + 1.09131i
\(681\) 19.9543 25.0168i 0.764651 0.958644i
\(682\) 0.725961 + 0.725961i 0.0277985 + 0.0277985i
\(683\) 9.24570 + 9.24570i 0.353777 + 0.353777i 0.861513 0.507736i \(-0.169517\pi\)
−0.507736 + 0.861513i \(0.669517\pi\)
\(684\) −1.26391 + 0.288212i −0.0483268 + 0.0110201i
\(685\) 9.27090 + 13.0101i 0.354223 + 0.497089i
\(686\) 20.6344i 0.787823i
\(687\) −1.26585 11.2449i −0.0482953 0.429019i
\(688\) −22.8212 + 22.8212i −0.870049 + 0.870049i
\(689\) −16.3146 −0.621536
\(690\) −0.423110 + 7.80316i −0.0161075 + 0.297061i
\(691\) 15.1524 0.576425 0.288212 0.957567i \(-0.406939\pi\)
0.288212 + 0.957567i \(0.406939\pi\)
\(692\) −2.59985 + 2.59985i −0.0988315 + 0.0988315i
\(693\) 12.4775 19.8491i 0.473983 0.754004i
\(694\) 17.1274i 0.650149i
\(695\) 22.6686 + 3.80421i 0.859869 + 0.144302i
\(696\) −22.3427 17.8214i −0.846898 0.675518i
\(697\) 11.8676 + 11.8676i 0.449516 + 0.449516i
\(698\) 12.3259 + 12.3259i 0.466541 + 0.466541i
\(699\) 23.3815 + 18.6499i 0.884369 + 0.705406i
\(700\) 2.63180 1.28060i 0.0994726 0.0484020i
\(701\) 9.44076i 0.356573i −0.983979 0.178286i \(-0.942945\pi\)
0.983979 0.178286i \(-0.0570553\pi\)
\(702\) 12.7318 + 36.4206i 0.480532 + 1.37461i
\(703\) −6.07758 + 6.07758i −0.229220 + 0.229220i
\(704\) 51.3500 1.93533
\(705\) −15.7279 17.5313i −0.592348 0.660268i
\(706\) −13.6730 −0.514590
\(707\) 7.54854 7.54854i 0.283892 0.283892i
\(708\) 0.571335 + 5.07531i 0.0214721 + 0.190742i
\(709\) 41.5316i 1.55975i −0.625935 0.779875i \(-0.715283\pi\)
0.625935 0.779875i \(-0.284717\pi\)
\(710\) 6.13286 4.37024i 0.230162 0.164012i
\(711\) 7.48202 + 32.8112i 0.280598 + 1.23052i
\(712\) −12.7461 12.7461i −0.477681 0.477681i
\(713\) −0.161940 0.161940i −0.00606470 0.00606470i
\(714\) 7.76303 9.73253i 0.290524 0.364231i
\(715\) −62.2970 + 44.3925i −2.32977 + 1.66018i
\(716\) 5.58396i 0.208682i
\(717\) 1.33022 0.149745i 0.0496781 0.00559233i
\(718\) 4.45992 4.45992i 0.166443 0.166443i
\(719\) 33.8311 1.26169 0.630843 0.775910i \(-0.282709\pi\)
0.630843 + 0.775910i \(0.282709\pi\)
\(720\) −1.14537 19.7496i −0.0426852 0.736023i
\(721\) 13.5889 0.506077
\(722\) −0.885404 + 0.885404i −0.0329513 + 0.0329513i
\(723\) −6.30226 + 0.709455i −0.234384 + 0.0263849i
\(724\) 2.71753i 0.100996i
\(725\) −25.6069 8.84370i −0.951016 0.328447i
\(726\) 30.1345 37.7797i 1.11840 1.40214i
\(727\) −0.472246 0.472246i −0.0175147 0.0175147i 0.698295 0.715810i \(-0.253942\pi\)
−0.715810 + 0.698295i \(0.753942\pi\)
\(728\) 17.2980 + 17.2980i 0.641105 + 0.641105i
\(729\) 21.1196 16.8215i 0.782206 0.623019i
\(730\) 31.9654 + 5.36440i 1.18309 + 0.198545i
\(731\) 46.3744i 1.71522i
\(732\) −0.261021 2.31872i −0.00964763 0.0857023i
\(733\) 1.08045 1.08045i 0.0399074 0.0399074i −0.686871 0.726779i \(-0.741016\pi\)
0.726779 + 0.686871i \(0.241016\pi\)
\(734\) 17.8336 0.658250
\(735\) 19.9744 + 1.08307i 0.736768 + 0.0399497i
\(736\) −3.86434 −0.142442
\(737\) 7.51746 7.51746i 0.276909 0.276909i
\(738\) −12.5961 7.91818i −0.463669 0.291472i
\(739\) 21.1700i 0.778750i 0.921079 + 0.389375i \(0.127309\pi\)
−0.921079 + 0.389375i \(0.872691\pi\)
\(740\) 4.81954 + 6.76336i 0.177170 + 0.248626i
\(741\) −8.02941 6.40456i −0.294968 0.235277i
\(742\) −3.29987 3.29987i −0.121142 0.121142i
\(743\) −15.8307 15.8307i −0.580770 0.580770i 0.354345 0.935115i \(-0.384704\pi\)
−0.935115 + 0.354345i \(0.884704\pi\)
\(744\) 0.586063 + 0.467466i 0.0214861 + 0.0171381i
\(745\) 1.28543 7.65966i 0.0470946 0.280628i
\(746\) 15.3087i 0.560493i
\(747\) −16.0755 10.1054i −0.588173 0.369738i
\(748\) −7.46967 + 7.46967i −0.273118 + 0.273118i
\(749\) 7.75568 0.283387
\(750\) −9.41326 22.3461i −0.343724 0.815963i
\(751\) 26.7095 0.974642 0.487321 0.873223i \(-0.337974\pi\)
0.487321 + 0.873223i \(0.337974\pi\)
\(752\) −12.6810 + 12.6810i −0.462430 + 0.462430i
\(753\) 1.09542 + 9.73085i 0.0399192 + 0.354612i
\(754\) 40.2306i 1.46511i
\(755\) 3.85518 22.9723i 0.140304 0.836047i
\(756\) 1.32054 2.74003i 0.0480277 0.0996538i
\(757\) 15.6249 + 15.6249i 0.567898 + 0.567898i 0.931539 0.363641i \(-0.118467\pi\)
−0.363641 + 0.931539i \(0.618467\pi\)
\(758\) −31.4033 31.4033i −1.14062 1.14062i
\(759\) −10.0406 + 12.5879i −0.364449 + 0.456911i
\(760\) 3.95183 + 5.54569i 0.143348 + 0.201163i
\(761\) 33.7554i 1.22363i 0.791000 + 0.611817i \(0.209561\pi\)
−0.791000 + 0.611817i \(0.790439\pi\)
\(762\) −0.774138 + 0.0871458i −0.0280440 + 0.00315696i
\(763\) 6.67256 6.67256i 0.241563 0.241563i
\(764\) −6.78584 −0.245503
\(765\) 21.2301 + 18.9026i 0.767575 + 0.683425i
\(766\) −22.3801 −0.808624
\(767\) −28.6131 + 28.6131i −1.03316 + 1.03316i
\(768\) 16.9568 1.90885i 0.611875 0.0688797i
\(769\) 17.7062i 0.638502i 0.947670 + 0.319251i \(0.103431\pi\)
−0.947670 + 0.319251i \(0.896569\pi\)
\(770\) −21.5795 3.62145i −0.777673 0.130508i
\(771\) −1.80733 + 2.26586i −0.0650895 + 0.0816029i