Properties

Label 234.2.z.a.41.8
Level $234$
Weight $2$
Character 234.41
Analytic conductor $1.868$
Analytic rank $0$
Dimension $56$
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [234,2,Mod(41,234)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(234, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([10, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("234.41");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 234.z (of order \(12\), degree \(4\), 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: \(1.86849940730\)
Analytic rank: \(0\)
Dimension: \(56\)
Relative dimension: \(14\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 41.8
Character \(\chi\) \(=\) 234.41
Dual form 234.2.z.a.137.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.70264 + 0.317829i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.48652 - 0.398313i) q^{5} +(-1.56236 + 0.747675i) q^{6} +(1.01155 + 1.01155i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.79797 - 1.08230i) q^{9} +O(q^{10})\) \(q+(0.965926 - 0.258819i) q^{2} +(-1.70264 + 0.317829i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.48652 - 0.398313i) q^{5} +(-1.56236 + 0.747675i) q^{6} +(1.01155 + 1.01155i) q^{7} +(0.707107 - 0.707107i) q^{8} +(2.79797 - 1.08230i) q^{9} +(1.33278 - 0.769482i) q^{10} +(0.128439 + 0.479340i) q^{11} +(-1.31562 + 1.12657i) q^{12} +(3.02688 - 1.95909i) q^{13} +(1.23890 + 0.715277i) q^{14} +(-2.40442 + 1.15064i) q^{15} +(0.500000 - 0.866025i) q^{16} +(1.10510 - 1.91408i) q^{17} +(2.42251 - 1.76959i) q^{18} +(0.805124 + 3.00476i) q^{19} +(1.08821 - 1.08821i) q^{20} +(-2.04381 - 1.40081i) q^{21} +(0.248125 + 0.429765i) q^{22} -1.77557 q^{23} +(-0.979210 + 1.42869i) q^{24} +(-2.27902 + 1.31580i) q^{25} +(2.41669 - 2.67575i) q^{26} +(-4.41995 + 2.73204i) q^{27} +(1.38181 + 0.370254i) q^{28} +(-4.07958 - 2.35535i) q^{29} +(-2.02468 + 1.73375i) q^{30} +(-0.0814346 - 0.303918i) q^{31} +(0.258819 - 0.965926i) q^{32} +(-0.371033 - 0.775323i) q^{33} +(0.572040 - 2.13488i) q^{34} +(1.90661 + 1.10078i) q^{35} +(1.88197 - 2.33628i) q^{36} +(-2.95350 + 11.0226i) q^{37} +(1.55538 + 2.69400i) q^{38} +(-4.53103 + 4.29765i) q^{39} +(0.769482 - 1.33278i) q^{40} +(-5.69511 - 5.69511i) q^{41} +(-2.33673 - 0.824102i) q^{42} +1.62219i q^{43} +(0.350901 + 0.350901i) q^{44} +(3.72816 - 2.72333i) q^{45} +(-1.71507 + 0.459552i) q^{46} +(-11.8388 - 3.17219i) q^{47} +(-0.576073 + 1.63344i) q^{48} -4.95352i q^{49} +(-1.86082 + 1.86082i) q^{50} +(-1.27323 + 3.61023i) q^{51} +(1.64181 - 3.21006i) q^{52} +2.02719i q^{53} +(-3.56224 + 3.78291i) q^{54} +(0.381855 + 0.661392i) q^{55} +1.43055 q^{56} +(-2.32584 - 4.86014i) q^{57} +(-4.55018 - 1.21922i) q^{58} +(-2.70586 - 0.725033i) q^{59} +(-1.50697 + 2.19870i) q^{60} +6.79318 q^{61} +(-0.157320 - 0.272485i) q^{62} +(3.92510 + 1.73550i) q^{63} -1.00000i q^{64} +(3.71920 - 4.11787i) q^{65} +(-0.559059 - 0.652874i) q^{66} +(-5.60189 + 5.60189i) q^{67} -2.21019i q^{68} +(3.02316 - 0.564328i) q^{69} +(2.12655 + 0.569808i) q^{70} +(10.8566 - 2.90902i) q^{71} +(1.21316 - 2.74376i) q^{72} +(4.45270 + 4.45270i) q^{73} +11.4115i q^{74} +(3.46216 - 2.96467i) q^{75} +(2.19964 + 2.19964i) q^{76} +(-0.354956 + 0.614801i) q^{77} +(-3.26432 + 5.32393i) q^{78} +(4.77307 + 8.26720i) q^{79} +(0.398313 - 1.48652i) q^{80} +(6.65727 - 6.05646i) q^{81} +(-6.97505 - 4.02705i) q^{82} +(2.17883 - 8.13149i) q^{83} +(-2.47040 - 0.191232i) q^{84} +(0.880349 - 3.28551i) q^{85} +(0.419853 + 1.56691i) q^{86} +(7.69466 + 2.71370i) q^{87} +(0.429765 + 0.248125i) q^{88} +(3.41203 + 0.914251i) q^{89} +(2.89628 - 3.59545i) q^{90} +(5.04357 + 1.08013i) q^{91} +(-1.53769 + 0.887787i) q^{92} +(0.235248 + 0.491581i) q^{93} -12.2564 q^{94} +(2.39367 + 4.14596i) q^{95} +(-0.133677 + 1.72688i) q^{96} +(5.21001 - 5.21001i) q^{97} +(-1.28206 - 4.78473i) q^{98} +(0.878156 + 1.20217i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q - 8 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 56 q - 8 q^{7} - 24 q^{11} + 28 q^{16} - 8 q^{19} - 24 q^{21} + 36 q^{27} - 4 q^{28} - 24 q^{30} - 4 q^{31} + 60 q^{33} - 24 q^{35} - 4 q^{37} + 36 q^{38} - 48 q^{41} - 36 q^{42} - 84 q^{45} - 36 q^{47} - 24 q^{50} + 8 q^{52} - 36 q^{54} + 36 q^{57} + 24 q^{60} - 48 q^{63} - 36 q^{65} + 28 q^{67} + 84 q^{69} - 24 q^{71} - 24 q^{72} + 28 q^{73} + 4 q^{76} + 24 q^{77} - 60 q^{78} - 24 q^{79} + 24 q^{81} - 96 q^{83} - 72 q^{85} + 4 q^{91} - 24 q^{92} - 36 q^{93} - 52 q^{97} + 48 q^{98} + 60 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/234\mathbb{Z}\right)^\times\).

\(n\) \(145\) \(209\)
\(\chi(n)\) \(e\left(\frac{1}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.965926 0.258819i 0.683013 0.183013i
\(3\) −1.70264 + 0.317829i −0.983020 + 0.183498i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.48652 0.398313i 0.664794 0.178131i 0.0893855 0.995997i \(-0.471510\pi\)
0.575409 + 0.817866i \(0.304843\pi\)
\(6\) −1.56236 + 0.747675i −0.637833 + 0.305237i
\(7\) 1.01155 + 1.01155i 0.382331 + 0.382331i 0.871941 0.489610i \(-0.162861\pi\)
−0.489610 + 0.871941i \(0.662861\pi\)
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) 2.79797 1.08230i 0.932657 0.360765i
\(10\) 1.33278 0.769482i 0.421463 0.243332i
\(11\) 0.128439 + 0.479340i 0.0387258 + 0.144527i 0.982582 0.185830i \(-0.0594975\pi\)
−0.943856 + 0.330357i \(0.892831\pi\)
\(12\) −1.31562 + 1.12657i −0.379786 + 0.325212i
\(13\) 3.02688 1.95909i 0.839504 0.543353i
\(14\) 1.23890 + 0.715277i 0.331109 + 0.191166i
\(15\) −2.40442 + 1.15064i −0.620819 + 0.297095i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) 1.10510 1.91408i 0.268025 0.464233i −0.700327 0.713823i \(-0.746962\pi\)
0.968352 + 0.249589i \(0.0802956\pi\)
\(18\) 2.42251 1.76959i 0.570992 0.417095i
\(19\) 0.805124 + 3.00476i 0.184708 + 0.689340i 0.994693 + 0.102889i \(0.0328086\pi\)
−0.809985 + 0.586451i \(0.800525\pi\)
\(20\) 1.08821 1.08821i 0.243332 0.243332i
\(21\) −2.04381 1.40081i −0.445997 0.305682i
\(22\) 0.248125 + 0.429765i 0.0529004 + 0.0916262i
\(23\) −1.77557 −0.370233 −0.185116 0.982717i \(-0.559266\pi\)
−0.185116 + 0.982717i \(0.559266\pi\)
\(24\) −0.979210 + 1.42869i −0.199880 + 0.291630i
\(25\) −2.27902 + 1.31580i −0.455805 + 0.263159i
\(26\) 2.41669 2.67575i 0.473952 0.524757i
\(27\) −4.41995 + 2.73204i −0.850620 + 0.525781i
\(28\) 1.38181 + 0.370254i 0.261137 + 0.0699715i
\(29\) −4.07958 2.35535i −0.757559 0.437377i 0.0708596 0.997486i \(-0.477426\pi\)
−0.828419 + 0.560109i \(0.810759\pi\)
\(30\) −2.02468 + 1.73375i −0.369655 + 0.316537i
\(31\) −0.0814346 0.303918i −0.0146261 0.0545853i 0.958227 0.286008i \(-0.0923285\pi\)
−0.972853 + 0.231423i \(0.925662\pi\)
\(32\) 0.258819 0.965926i 0.0457532 0.170753i
\(33\) −0.371033 0.775323i −0.0645886 0.134966i
\(34\) 0.572040 2.13488i 0.0981040 0.366129i
\(35\) 1.90661 + 1.10078i 0.322277 + 0.186067i
\(36\) 1.88197 2.33628i 0.313661 0.389380i
\(37\) −2.95350 + 11.0226i −0.485553 + 1.81211i 0.0920063 + 0.995758i \(0.470672\pi\)
−0.577559 + 0.816349i \(0.695995\pi\)
\(38\) 1.55538 + 2.69400i 0.252316 + 0.437024i
\(39\) −4.53103 + 4.29765i −0.725545 + 0.688174i
\(40\) 0.769482 1.33278i 0.121666 0.210731i
\(41\) −5.69511 5.69511i −0.889426 0.889426i 0.105041 0.994468i \(-0.466502\pi\)
−0.994468 + 0.105041i \(0.966502\pi\)
\(42\) −2.33673 0.824102i −0.360565 0.127162i
\(43\) 1.62219i 0.247381i 0.992321 + 0.123691i \(0.0394731\pi\)
−0.992321 + 0.123691i \(0.960527\pi\)
\(44\) 0.350901 + 0.350901i 0.0529004 + 0.0529004i
\(45\) 3.72816 2.72333i 0.555761 0.405970i
\(46\) −1.71507 + 0.459552i −0.252874 + 0.0677573i
\(47\) −11.8388 3.17219i −1.72686 0.462711i −0.747406 0.664368i \(-0.768701\pi\)
−0.979456 + 0.201656i \(0.935368\pi\)
\(48\) −0.576073 + 1.63344i −0.0831489 + 0.235767i
\(49\) 4.95352i 0.707645i
\(50\) −1.86082 + 1.86082i −0.263159 + 0.263159i
\(51\) −1.27323 + 3.61023i −0.178288 + 0.505533i
\(52\) 1.64181 3.21006i 0.227678 0.445155i
\(53\) 2.02719i 0.278456i 0.990260 + 0.139228i \(0.0444621\pi\)
−0.990260 + 0.139228i \(0.955538\pi\)
\(54\) −3.56224 + 3.78291i −0.484760 + 0.514789i
\(55\) 0.381855 + 0.661392i 0.0514893 + 0.0891821i
\(56\) 1.43055 0.191166
\(57\) −2.32584 4.86014i −0.308065 0.643741i
\(58\) −4.55018 1.21922i −0.597468 0.160091i
\(59\) −2.70586 0.725033i −0.352273 0.0943913i 0.0783431 0.996926i \(-0.475037\pi\)
−0.430616 + 0.902535i \(0.641704\pi\)
\(60\) −1.50697 + 2.19870i −0.194549 + 0.283851i
\(61\) 6.79318 0.869777 0.434888 0.900484i \(-0.356788\pi\)
0.434888 + 0.900484i \(0.356788\pi\)
\(62\) −0.157320 0.272485i −0.0199796 0.0346057i
\(63\) 3.92510 + 1.73550i 0.494516 + 0.218652i
\(64\) 1.00000i 0.125000i
\(65\) 3.71920 4.11787i 0.461310 0.510760i
\(66\) −0.559059 0.652874i −0.0688154 0.0803632i
\(67\) −5.60189 + 5.60189i −0.684379 + 0.684379i −0.960984 0.276604i \(-0.910791\pi\)
0.276604 + 0.960984i \(0.410791\pi\)
\(68\) 2.21019i 0.268025i
\(69\) 3.02316 0.564328i 0.363946 0.0679371i
\(70\) 2.12655 + 0.569808i 0.254172 + 0.0681051i
\(71\) 10.8566 2.90902i 1.28844 0.345237i 0.451374 0.892335i \(-0.350934\pi\)
0.837069 + 0.547097i \(0.184267\pi\)
\(72\) 1.21316 2.74376i 0.142973 0.323355i
\(73\) 4.45270 + 4.45270i 0.521149 + 0.521149i 0.917918 0.396769i \(-0.129869\pi\)
−0.396769 + 0.917918i \(0.629869\pi\)
\(74\) 11.4115i 1.32655i
\(75\) 3.46216 2.96467i 0.399776 0.342330i
\(76\) 2.19964 + 2.19964i 0.252316 + 0.252316i
\(77\) −0.354956 + 0.614801i −0.0404510 + 0.0700631i
\(78\) −3.26432 + 5.32393i −0.369612 + 0.602816i
\(79\) 4.77307 + 8.26720i 0.537012 + 0.930133i 0.999063 + 0.0432790i \(0.0137805\pi\)
−0.462051 + 0.886853i \(0.652886\pi\)
\(80\) 0.398313 1.48652i 0.0445328 0.166199i
\(81\) 6.65727 6.05646i 0.739697 0.672940i
\(82\) −6.97505 4.02705i −0.770266 0.444713i
\(83\) 2.17883 8.13149i 0.239157 0.892547i −0.737073 0.675813i \(-0.763793\pi\)
0.976231 0.216734i \(-0.0695405\pi\)
\(84\) −2.47040 0.191232i −0.269543 0.0208651i
\(85\) 0.880349 3.28551i 0.0954872 0.356363i
\(86\) 0.419853 + 1.56691i 0.0452739 + 0.168965i
\(87\) 7.69466 + 2.71370i 0.824954 + 0.290939i
\(88\) 0.429765 + 0.248125i 0.0458131 + 0.0264502i
\(89\) 3.41203 + 0.914251i 0.361674 + 0.0969104i 0.435080 0.900392i \(-0.356720\pi\)
−0.0734055 + 0.997302i \(0.523387\pi\)
\(90\) 2.89628 3.59545i 0.305294 0.378994i
\(91\) 5.04357 + 1.08013i 0.528710 + 0.113228i
\(92\) −1.53769 + 0.887787i −0.160315 + 0.0925582i
\(93\) 0.235248 + 0.491581i 0.0243941 + 0.0509746i
\(94\) −12.2564 −1.26415
\(95\) 2.39367 + 4.14596i 0.245586 + 0.425367i
\(96\) −0.133677 + 1.72688i −0.0136433 + 0.176249i
\(97\) 5.21001 5.21001i 0.528996 0.528996i −0.391277 0.920273i \(-0.627967\pi\)
0.920273 + 0.391277i \(0.127967\pi\)
\(98\) −1.28206 4.78473i −0.129508 0.483331i
\(99\) 0.878156 + 1.20217i 0.0882580 + 0.120823i
\(100\) −1.31580 + 2.27902i −0.131580 + 0.227902i
\(101\) 2.75939 4.77940i 0.274569 0.475568i −0.695457 0.718568i \(-0.744798\pi\)
0.970026 + 0.243000i \(0.0781314\pi\)
\(102\) −0.295452 + 3.81675i −0.0292541 + 0.377914i
\(103\) −13.0560 7.53787i −1.28644 0.742729i −0.308426 0.951248i \(-0.599802\pi\)
−0.978018 + 0.208520i \(0.933135\pi\)
\(104\) 0.755042 3.52561i 0.0740379 0.345714i
\(105\) −3.59614 1.26826i −0.350947 0.123770i
\(106\) 0.524676 + 1.95812i 0.0509610 + 0.190189i
\(107\) −10.8647 + 6.27276i −1.05033 + 0.606411i −0.922743 0.385416i \(-0.874058\pi\)
−0.127591 + 0.991827i \(0.540724\pi\)
\(108\) −2.46177 + 4.57599i −0.236884 + 0.440325i
\(109\) −6.92733 + 6.92733i −0.663518 + 0.663518i −0.956208 0.292690i \(-0.905450\pi\)
0.292690 + 0.956208i \(0.405450\pi\)
\(110\) 0.540025 + 0.540025i 0.0514893 + 0.0514893i
\(111\) 1.52545 19.7063i 0.144789 1.87044i
\(112\) 1.38181 0.370254i 0.130569 0.0349858i
\(113\) −12.3898 + 7.15327i −1.16554 + 0.672923i −0.952625 0.304149i \(-0.901628\pi\)
−0.212912 + 0.977071i \(0.568295\pi\)
\(114\) −3.50448 4.09256i −0.328225 0.383304i
\(115\) −2.63943 + 0.707234i −0.246128 + 0.0659499i
\(116\) −4.71069 −0.437377
\(117\) 6.34880 8.75744i 0.586947 0.809626i
\(118\) −2.80131 −0.257882
\(119\) 3.05406 0.818333i 0.279965 0.0750165i
\(120\) −0.886555 + 2.51381i −0.0809310 + 0.229479i
\(121\) 9.31301 5.37687i 0.846637 0.488806i
\(122\) 6.56170 1.75820i 0.594069 0.159180i
\(123\) 11.5068 + 7.88665i 1.03753 + 0.711116i
\(124\) −0.222483 0.222483i −0.0199796 0.0199796i
\(125\) −8.30479 + 8.30479i −0.742803 + 0.742803i
\(126\) 4.24053 + 0.660471i 0.377777 + 0.0588394i
\(127\) 2.50743 1.44766i 0.222498 0.128459i −0.384608 0.923080i \(-0.625663\pi\)
0.607106 + 0.794621i \(0.292330\pi\)
\(128\) −0.258819 0.965926i −0.0228766 0.0853766i
\(129\) −0.515578 2.76200i −0.0453941 0.243181i
\(130\) 2.52668 4.94016i 0.221605 0.433281i
\(131\) 11.3218 + 6.53662i 0.989186 + 0.571107i 0.905031 0.425346i \(-0.139847\pi\)
0.0841553 + 0.996453i \(0.473181\pi\)
\(132\) −0.708986 0.485933i −0.0617093 0.0422950i
\(133\) −2.22505 + 3.85391i −0.192937 + 0.334176i
\(134\) −3.96113 + 6.86088i −0.342190 + 0.592690i
\(135\) −5.48216 + 5.82176i −0.471829 + 0.501058i
\(136\) −0.572040 2.13488i −0.0490520 0.183065i
\(137\) 4.60469 4.60469i 0.393405 0.393405i −0.482494 0.875899i \(-0.660269\pi\)
0.875899 + 0.482494i \(0.160269\pi\)
\(138\) 2.77409 1.32755i 0.236146 0.113009i
\(139\) −8.34095 14.4469i −0.707470 1.22537i −0.965793 0.259316i \(-0.916503\pi\)
0.258322 0.966059i \(-0.416830\pi\)
\(140\) 2.20157 0.186067
\(141\) 21.1654 + 1.63840i 1.78245 + 0.137978i
\(142\) 9.73378 5.61980i 0.816840 0.471603i
\(143\) 1.32784 + 1.19928i 0.111039 + 0.100289i
\(144\) 0.461689 2.96426i 0.0384741 0.247022i
\(145\) −7.00256 1.87633i −0.581531 0.155821i
\(146\) 5.45342 + 3.14853i 0.451328 + 0.260575i
\(147\) 1.57437 + 8.43406i 0.129852 + 0.695630i
\(148\) 2.95350 + 11.0226i 0.242776 + 0.906054i
\(149\) −2.72321 + 10.1632i −0.223094 + 0.832599i 0.760065 + 0.649847i \(0.225167\pi\)
−0.983159 + 0.182752i \(0.941500\pi\)
\(150\) 2.57688 3.75972i 0.210401 0.306980i
\(151\) 4.44836 16.6015i 0.362002 1.35101i −0.509437 0.860508i \(-0.670146\pi\)
0.871440 0.490503i \(-0.163187\pi\)
\(152\) 2.69400 + 1.55538i 0.218512 + 0.126158i
\(153\) 1.02042 6.55159i 0.0824962 0.529664i
\(154\) −0.183739 + 0.685722i −0.0148061 + 0.0552570i
\(155\) −0.242109 0.419345i −0.0194467 0.0336826i
\(156\) −1.77516 + 5.98739i −0.142127 + 0.479375i
\(157\) −10.9518 + 18.9690i −0.874046 + 1.51389i −0.0162709 + 0.999868i \(0.505179\pi\)
−0.857775 + 0.514025i \(0.828154\pi\)
\(158\) 6.75014 + 6.75014i 0.537012 + 0.537012i
\(159\) −0.644300 3.45158i −0.0510963 0.273728i
\(160\) 1.53896i 0.121666i
\(161\) −1.79609 1.79609i −0.141552 0.141552i
\(162\) 4.86290 7.57312i 0.382066 0.595001i
\(163\) 5.13664 1.37636i 0.402333 0.107805i −0.0519776 0.998648i \(-0.516552\pi\)
0.454310 + 0.890844i \(0.349886\pi\)
\(164\) −7.77966 2.08455i −0.607490 0.162776i
\(165\) −0.860371 1.00475i −0.0669798 0.0782196i
\(166\) 8.41834i 0.653390i
\(167\) 7.67161 7.67161i 0.593647 0.593647i −0.344968 0.938615i \(-0.612110\pi\)
0.938615 + 0.344968i \(0.112110\pi\)
\(168\) −2.43572 + 0.454671i −0.187920 + 0.0350786i
\(169\) 5.32396 11.8598i 0.409536 0.912294i
\(170\) 3.40141i 0.260876i
\(171\) 5.50475 + 7.53585i 0.420959 + 0.576281i
\(172\) 0.811094 + 1.40486i 0.0618453 + 0.107119i
\(173\) 1.60584 0.122090 0.0610448 0.998135i \(-0.480557\pi\)
0.0610448 + 0.998135i \(0.480557\pi\)
\(174\) 8.13483 + 0.629711i 0.616700 + 0.0477383i
\(175\) −3.63635 0.974358i −0.274882 0.0736545i
\(176\) 0.479340 + 0.128439i 0.0361316 + 0.00968144i
\(177\) 4.83754 + 0.374471i 0.363612 + 0.0281470i
\(178\) 3.53239 0.264764
\(179\) 5.02903 + 8.71053i 0.375887 + 0.651056i 0.990459 0.137805i \(-0.0440047\pi\)
−0.614572 + 0.788861i \(0.710671\pi\)
\(180\) 1.86702 4.22255i 0.139159 0.314730i
\(181\) 11.9484i 0.888116i −0.895998 0.444058i \(-0.853538\pi\)
0.895998 0.444058i \(-0.146462\pi\)
\(182\) 5.15127 0.262049i 0.381838 0.0194244i
\(183\) −11.5663 + 2.15907i −0.855008 + 0.159603i
\(184\) −1.25552 + 1.25552i −0.0925582 + 0.0925582i
\(185\) 17.5618i 1.29117i
\(186\) 0.354462 + 0.413944i 0.0259904 + 0.0303519i
\(187\) 1.05943 + 0.283875i 0.0774735 + 0.0207590i
\(188\) −11.8388 + 3.17219i −0.863431 + 0.231356i
\(189\) −7.23462 1.70742i −0.526241 0.124196i
\(190\) 3.38516 + 3.38516i 0.245586 + 0.245586i
\(191\) 21.8456i 1.58069i 0.612659 + 0.790347i \(0.290100\pi\)
−0.612659 + 0.790347i \(0.709900\pi\)
\(192\) 0.317829 + 1.70264i 0.0229373 + 0.122877i
\(193\) 9.25729 + 9.25729i 0.666354 + 0.666354i 0.956870 0.290516i \(-0.0938269\pi\)
−0.290516 + 0.956870i \(0.593827\pi\)
\(194\) 3.68403 6.38093i 0.264498 0.458124i
\(195\) −5.02368 + 8.19333i −0.359753 + 0.586736i
\(196\) −2.47676 4.28987i −0.176911 0.306419i
\(197\) −0.638138 + 2.38157i −0.0454655 + 0.169680i −0.984926 0.172979i \(-0.944661\pi\)
0.939460 + 0.342659i \(0.111327\pi\)
\(198\) 1.15938 + 0.933924i 0.0823934 + 0.0663711i
\(199\) −18.1467 10.4770i −1.28639 0.742697i −0.308380 0.951263i \(-0.599787\pi\)
−0.978008 + 0.208567i \(0.933120\pi\)
\(200\) −0.681106 + 2.54192i −0.0481615 + 0.179741i
\(201\) 7.75756 11.3184i 0.547176 0.798341i
\(202\) 1.42836 5.33073i 0.100499 0.375069i
\(203\) −1.74416 6.50928i −0.122416 0.456862i
\(204\) 0.702462 + 3.76316i 0.0491822 + 0.263474i
\(205\) −10.7344 6.19748i −0.749720 0.432851i
\(206\) −14.5621 3.90189i −1.01459 0.271858i
\(207\) −4.96800 + 1.92170i −0.345300 + 0.133567i
\(208\) −0.183180 3.60090i −0.0127013 0.249677i
\(209\) −1.33689 + 0.771857i −0.0924750 + 0.0533904i
\(210\) −3.80186 0.294299i −0.262353 0.0203086i
\(211\) −14.1278 −0.972599 −0.486299 0.873792i \(-0.661654\pi\)
−0.486299 + 0.873792i \(0.661654\pi\)
\(212\) 1.01360 + 1.75560i 0.0696140 + 0.120575i
\(213\) −17.5603 + 8.40356i −1.20322 + 0.575803i
\(214\) −8.87102 + 8.87102i −0.606411 + 0.606411i
\(215\) 0.646139 + 2.41142i 0.0440663 + 0.164458i
\(216\) −1.19354 + 5.05722i −0.0812099 + 0.344100i
\(217\) 0.225054 0.389805i 0.0152777 0.0264617i
\(218\) −4.89836 + 8.48421i −0.331759 + 0.574623i
\(219\) −8.99654 6.16615i −0.607930 0.416670i
\(220\) 0.661392 + 0.381855i 0.0445911 + 0.0257447i
\(221\) −0.404863 7.95867i −0.0272341 0.535358i
\(222\) −3.62689 19.4296i −0.243421 1.30403i
\(223\) −2.37228 8.85346i −0.158859 0.592872i −0.998744 0.0501063i \(-0.984044\pi\)
0.839884 0.542765i \(-0.182623\pi\)
\(224\) 1.23890 0.715277i 0.0827772 0.0477914i
\(225\) −4.95256 + 6.14813i −0.330171 + 0.409876i
\(226\) −10.1162 + 10.1162i −0.672923 + 0.672923i
\(227\) 18.6738 + 18.6738i 1.23943 + 1.23943i 0.960236 + 0.279190i \(0.0900659\pi\)
0.279190 + 0.960236i \(0.409934\pi\)
\(228\) −4.44430 3.04609i −0.294331 0.201732i
\(229\) 13.7346 3.68017i 0.907607 0.243193i 0.225327 0.974283i \(-0.427655\pi\)
0.682280 + 0.731091i \(0.260988\pi\)
\(230\) −2.36645 + 1.36627i −0.156039 + 0.0900893i
\(231\) 0.408961 1.15960i 0.0269076 0.0762961i
\(232\) −4.55018 + 1.21922i −0.298734 + 0.0800455i
\(233\) −21.4490 −1.40517 −0.702586 0.711599i \(-0.747971\pi\)
−0.702586 + 0.711599i \(0.747971\pi\)
\(234\) 3.86588 10.1022i 0.252720 0.660403i
\(235\) −18.8622 −1.23043
\(236\) −2.70586 + 0.725033i −0.176137 + 0.0471956i
\(237\) −10.7544 12.5590i −0.698572 0.815798i
\(238\) 2.73820 1.58090i 0.177491 0.102474i
\(239\) 7.59513 2.03511i 0.491288 0.131640i −0.00466587 0.999989i \(-0.501485\pi\)
0.495954 + 0.868349i \(0.334819\pi\)
\(240\) −0.205724 + 2.65761i −0.0132794 + 0.171548i
\(241\) 13.0877 + 13.0877i 0.843051 + 0.843051i 0.989255 0.146203i \(-0.0467054\pi\)
−0.146203 + 0.989255i \(0.546705\pi\)
\(242\) 7.60404 7.60404i 0.488806 0.488806i
\(243\) −9.41002 + 12.4279i −0.603653 + 0.797247i
\(244\) 5.88306 3.39659i 0.376624 0.217444i
\(245\) −1.97305 7.36353i −0.126054 0.470438i
\(246\) 13.1559 + 4.63975i 0.838791 + 0.295819i
\(247\) 8.32360 + 7.51774i 0.529618 + 0.478342i
\(248\) −0.272485 0.157320i −0.0173028 0.00998980i
\(249\) −1.12534 + 14.5375i −0.0713153 + 0.921276i
\(250\) −5.87237 + 10.1712i −0.371401 + 0.643286i
\(251\) 11.0446 19.1298i 0.697127 1.20746i −0.272331 0.962204i \(-0.587795\pi\)
0.969458 0.245256i \(-0.0788722\pi\)
\(252\) 4.26698 0.459565i 0.268795 0.0289499i
\(253\) −0.228053 0.851104i −0.0143375 0.0535084i
\(254\) 2.04731 2.04731i 0.128459 0.128459i
\(255\) −0.454689 + 5.87384i −0.0284738 + 0.367834i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) −30.2080 −1.88432 −0.942162 0.335158i \(-0.891210\pi\)
−0.942162 + 0.335158i \(0.891210\pi\)
\(258\) −1.21287 2.53445i −0.0755099 0.157788i
\(259\) −14.1376 + 8.16235i −0.878468 + 0.507183i
\(260\) 1.16198 5.42578i 0.0720631 0.336493i
\(261\) −13.9637 2.17488i −0.864333 0.134621i
\(262\) 12.6278 + 3.38360i 0.780147 + 0.209040i
\(263\) −4.77357 2.75602i −0.294351 0.169943i 0.345552 0.938400i \(-0.387692\pi\)
−0.639902 + 0.768456i \(0.721025\pi\)
\(264\) −0.810596 0.285876i −0.0498887 0.0175944i
\(265\) 0.807457 + 3.01347i 0.0496017 + 0.185116i
\(266\) −1.15177 + 4.29847i −0.0706197 + 0.263556i
\(267\) −6.10004 0.472199i −0.373316 0.0288981i
\(268\) −2.05043 + 7.65232i −0.125250 + 0.467440i
\(269\) 16.8180 + 9.70985i 1.02541 + 0.592020i 0.915666 0.401940i \(-0.131664\pi\)
0.109743 + 0.993960i \(0.464997\pi\)
\(270\) −3.78858 + 7.04228i −0.230566 + 0.428580i
\(271\) 5.79813 21.6389i 0.352212 1.31447i −0.531746 0.846904i \(-0.678464\pi\)
0.883957 0.467567i \(-0.154869\pi\)
\(272\) −1.10510 1.91408i −0.0670063 0.116058i
\(273\) −8.93068 0.236078i −0.540509 0.0142881i
\(274\) 3.25601 5.63957i 0.196703 0.340699i
\(275\) −0.923429 0.923429i −0.0556849 0.0556849i
\(276\) 2.33597 2.00030i 0.140609 0.120404i
\(277\) 8.82351i 0.530153i −0.964227 0.265077i \(-0.914603\pi\)
0.964227 0.265077i \(-0.0853973\pi\)
\(278\) −11.7959 11.7959i −0.707470 0.707470i
\(279\) −0.556781 0.762217i −0.0333336 0.0456328i
\(280\) 2.12655 0.569808i 0.127086 0.0340525i
\(281\) −17.2960 4.63444i −1.03179 0.276467i −0.297083 0.954852i \(-0.596014\pi\)
−0.734707 + 0.678384i \(0.762680\pi\)
\(282\) 20.8682 3.89543i 1.24269 0.231970i
\(283\) 7.31258i 0.434688i 0.976095 + 0.217344i \(0.0697393\pi\)
−0.976095 + 0.217344i \(0.930261\pi\)
\(284\) 7.94760 7.94760i 0.471603 0.471603i
\(285\) −5.39327 6.29831i −0.319470 0.373080i
\(286\) 1.59299 + 0.814747i 0.0941954 + 0.0481770i
\(287\) 11.5218i 0.680111i
\(288\) −0.321250 2.98275i −0.0189298 0.175760i
\(289\) 6.05752 + 10.4919i 0.356325 + 0.617173i
\(290\) −7.24959 −0.425710
\(291\) −7.21488 + 10.5267i −0.422944 + 0.617084i
\(292\) 6.08250 + 1.62980i 0.355952 + 0.0953769i
\(293\) 13.7781 + 3.69183i 0.804925 + 0.215679i 0.637745 0.770247i \(-0.279867\pi\)
0.167180 + 0.985926i \(0.446534\pi\)
\(294\) 3.70362 + 7.73920i 0.216000 + 0.451359i
\(295\) −4.31112 −0.251003
\(296\) 5.70573 + 9.88261i 0.331639 + 0.574415i
\(297\) −1.87727 1.76776i −0.108930 0.102576i
\(298\) 10.5217i 0.609505i
\(299\) −5.37444 + 3.47850i −0.310812 + 0.201167i
\(300\) 1.51599 4.29856i 0.0875256 0.248177i
\(301\) −1.64093 + 1.64093i −0.0945817 + 0.0945817i
\(302\) 17.1871i 0.989008i
\(303\) −3.17922 + 9.01461i −0.182641 + 0.517876i
\(304\) 3.00476 + 0.805124i 0.172335 + 0.0461770i
\(305\) 10.0982 2.70581i 0.578223 0.154934i
\(306\) −0.710024 6.59245i −0.0405894 0.376865i
\(307\) 15.5883 + 15.5883i 0.889669 + 0.889669i 0.994491 0.104822i \(-0.0334273\pi\)
−0.104822 + 0.994491i \(0.533427\pi\)
\(308\) 0.709911i 0.0404510i
\(309\) 24.6254 + 8.68472i 1.40089 + 0.494057i
\(310\) −0.342394 0.342394i −0.0194467 0.0194467i
\(311\) 12.3786 21.4403i 0.701923 1.21577i −0.265867 0.964010i \(-0.585658\pi\)
0.967790 0.251757i \(-0.0810084\pi\)
\(312\) −0.165025 + 6.24282i −0.00934273 + 0.353430i
\(313\) 16.0705 + 27.8349i 0.908359 + 1.57332i 0.816344 + 0.577566i \(0.195997\pi\)
0.0920148 + 0.995758i \(0.470669\pi\)
\(314\) −5.66905 + 21.1572i −0.319923 + 1.19397i
\(315\) 6.52603 + 1.01644i 0.367700 + 0.0572699i
\(316\) 8.26720 + 4.77307i 0.465066 + 0.268506i
\(317\) 7.74554 28.9067i 0.435033 1.62356i −0.305956 0.952046i \(-0.598976\pi\)
0.740988 0.671518i \(-0.234357\pi\)
\(318\) −1.51568 3.16721i −0.0849951 0.177608i
\(319\) 0.605036 2.25803i 0.0338755 0.126425i
\(320\) −0.398313 1.48652i −0.0222664 0.0830993i
\(321\) 16.5051 14.1334i 0.921224 0.788848i
\(322\) −2.19975 1.27003i −0.122587 0.0707758i
\(323\) 6.64110 + 1.77948i 0.369521 + 0.0990128i
\(324\) 2.73713 8.57369i 0.152063 0.476316i
\(325\) −4.32057 + 8.44756i −0.239662 + 0.468586i
\(326\) 4.60538 2.65892i 0.255069 0.147264i
\(327\) 9.59305 13.9965i 0.530497 0.774006i
\(328\) −8.05410 −0.444713
\(329\) −8.76671 15.1844i −0.483325 0.837143i
\(330\) −1.09110 0.747833i −0.0600633 0.0411668i
\(331\) 4.69098 4.69098i 0.257839 0.257839i −0.566335 0.824175i \(-0.691639\pi\)
0.824175 + 0.566335i \(0.191639\pi\)
\(332\) −2.17883 8.13149i −0.119579 0.446273i
\(333\) 3.66593 + 34.0375i 0.200892 + 1.86524i
\(334\) 5.42465 9.39577i 0.296824 0.514113i
\(335\) −6.09604 + 10.5586i −0.333062 + 0.576881i
\(336\) −2.23505 + 1.06959i −0.121932 + 0.0583508i
\(337\) 20.1675 + 11.6437i 1.09859 + 0.634274i 0.935851 0.352395i \(-0.114633\pi\)
0.162743 + 0.986669i \(0.447966\pi\)
\(338\) 2.07300 12.8337i 0.112757 0.698059i
\(339\) 18.8219 16.1173i 1.02227 0.875371i
\(340\) −0.880349 3.28551i −0.0477436 0.178182i
\(341\) 0.135221 0.0780698i 0.00732262 0.00422772i
\(342\) 7.26761 + 5.85434i 0.392987 + 0.316566i
\(343\) 12.0916 12.0916i 0.652886 0.652886i
\(344\) 1.14706 + 1.14706i 0.0618453 + 0.0618453i
\(345\) 4.26923 2.04305i 0.229848 0.109994i
\(346\) 1.55112 0.415621i 0.0833887 0.0223439i
\(347\) −17.4763 + 10.0899i −0.938175 + 0.541655i −0.889388 0.457154i \(-0.848869\pi\)
−0.0487871 + 0.998809i \(0.515536\pi\)
\(348\) 8.02062 1.49719i 0.429950 0.0802580i
\(349\) −24.2443 + 6.49625i −1.29777 + 0.347736i −0.840606 0.541647i \(-0.817801\pi\)
−0.457163 + 0.889383i \(0.651134\pi\)
\(350\) −3.76463 −0.201228
\(351\) −8.02636 + 16.9286i −0.428415 + 0.903582i
\(352\) 0.496250 0.0264502
\(353\) 25.2002 6.75238i 1.34127 0.359393i 0.484366 0.874865i \(-0.339050\pi\)
0.856906 + 0.515472i \(0.172384\pi\)
\(354\) 4.76963 0.890338i 0.253503 0.0473209i
\(355\) 14.9799 8.64867i 0.795052 0.459024i
\(356\) 3.41203 0.914251i 0.180837 0.0484552i
\(357\) −4.93988 + 2.36400i −0.261446 + 0.125116i
\(358\) 7.11212 + 7.11212i 0.375887 + 0.375887i
\(359\) 23.1726 23.1726i 1.22300 1.22300i 0.256444 0.966559i \(-0.417449\pi\)
0.966559 0.256444i \(-0.0825509\pi\)
\(360\) 0.710523 4.56189i 0.0374478 0.240433i
\(361\) 8.07411 4.66159i 0.424953 0.245347i
\(362\) −3.09247 11.5412i −0.162537 0.606594i
\(363\) −14.1478 + 12.1148i −0.742566 + 0.635863i
\(364\) 4.90792 1.58637i 0.257245 0.0831482i
\(365\) 8.39262 + 4.84548i 0.439290 + 0.253624i
\(366\) −10.6134 + 5.07909i −0.554772 + 0.265488i
\(367\) −0.292660 + 0.506902i −0.0152767 + 0.0264601i −0.873563 0.486712i \(-0.838196\pi\)
0.858286 + 0.513172i \(0.171530\pi\)
\(368\) −0.887787 + 1.53769i −0.0462791 + 0.0801577i
\(369\) −22.0985 9.77095i −1.15040 0.508655i
\(370\) 4.54533 + 16.9634i 0.236301 + 0.881886i
\(371\) −2.05061 + 2.05061i −0.106463 + 0.106463i
\(372\) 0.449521 + 0.308098i 0.0233066 + 0.0159741i
\(373\) −13.6890 23.7100i −0.708790 1.22766i −0.965306 0.261120i \(-0.915908\pi\)
0.256517 0.966540i \(-0.417425\pi\)
\(374\) 1.09681 0.0567145
\(375\) 11.5006 16.7796i 0.593887 0.866493i
\(376\) −10.6144 + 6.12820i −0.547393 + 0.316038i
\(377\) −16.9627 + 0.862906i −0.873624 + 0.0444419i
\(378\) −7.43002 + 0.223218i −0.382159 + 0.0114811i
\(379\) 3.11912 + 0.835766i 0.160219 + 0.0429304i 0.338037 0.941133i \(-0.390237\pi\)
−0.177818 + 0.984063i \(0.556904\pi\)
\(380\) 4.14596 + 2.39367i 0.212683 + 0.122793i
\(381\) −3.80914 + 3.26178i −0.195148 + 0.167106i
\(382\) 5.65407 + 21.1013i 0.289287 + 1.07963i
\(383\) 3.64974 13.6210i 0.186493 0.696001i −0.807813 0.589439i \(-0.799349\pi\)
0.994306 0.106562i \(-0.0339843\pi\)
\(384\) 0.747675 + 1.56236i 0.0381546 + 0.0797291i
\(385\) −0.282767 + 1.05530i −0.0144111 + 0.0537831i
\(386\) 11.3378 + 6.54589i 0.577080 + 0.333177i
\(387\) 1.75569 + 4.53883i 0.0892466 + 0.230722i
\(388\) 1.90700 7.11700i 0.0968130 0.361311i
\(389\) 9.97462 + 17.2765i 0.505733 + 0.875956i 0.999978 + 0.00663286i \(0.00211132\pi\)
−0.494245 + 0.869323i \(0.664555\pi\)
\(390\) −2.73191 + 9.21437i −0.138336 + 0.466588i
\(391\) −1.96218 + 3.39859i −0.0992317 + 0.171874i
\(392\) −3.50267 3.50267i −0.176911 0.176911i
\(393\) −21.3544 7.53113i −1.07719 0.379895i
\(394\) 2.46558i 0.124214i
\(395\) 10.3882 + 10.3882i 0.522688 + 0.522688i
\(396\) 1.36159 + 0.602033i 0.0684225 + 0.0302533i
\(397\) 17.9027 4.79700i 0.898509 0.240755i 0.220133 0.975470i \(-0.429351\pi\)
0.678376 + 0.734715i \(0.262684\pi\)
\(398\) −20.2401 5.42331i −1.01454 0.271846i
\(399\) 2.56358 7.26900i 0.128340 0.363905i
\(400\) 2.63159i 0.131580i
\(401\) −11.1565 + 11.1565i −0.557131 + 0.557131i −0.928489 0.371359i \(-0.878892\pi\)
0.371359 + 0.928489i \(0.378892\pi\)
\(402\) 4.56380 12.9406i 0.227622 0.645417i
\(403\) −0.841894 0.760385i −0.0419377 0.0378775i
\(404\) 5.51878i 0.274569i
\(405\) 7.48383 11.6548i 0.371874 0.579130i
\(406\) −3.36945 5.83606i −0.167223 0.289639i
\(407\) −5.66293 −0.280701
\(408\) 1.65250 + 3.45313i 0.0818112 + 0.170955i
\(409\) −10.7473 2.87972i −0.531418 0.142393i −0.0168752 0.999858i \(-0.505372\pi\)
−0.514543 + 0.857464i \(0.672038\pi\)
\(410\) −11.9726 3.20805i −0.591285 0.158434i
\(411\) −6.37663 + 9.30363i −0.314536 + 0.458914i
\(412\) −15.0757 −0.742729
\(413\) −2.00371 3.47053i −0.0985963 0.170774i
\(414\) −4.30135 + 3.14203i −0.211400 + 0.154422i
\(415\) 12.9555i 0.635961i
\(416\) −1.10892 3.43079i −0.0543692 0.168208i
\(417\) 18.7933 + 21.9470i 0.920312 + 1.07475i
\(418\) −1.09157 + 1.09157i −0.0533904 + 0.0533904i
\(419\) 0.458051i 0.0223772i 0.999937 + 0.0111886i \(0.00356152\pi\)
−0.999937 + 0.0111886i \(0.996438\pi\)
\(420\) −3.74848 + 0.699722i −0.182907 + 0.0341429i
\(421\) 4.37413 + 1.17205i 0.213182 + 0.0571220i 0.363829 0.931466i \(-0.381469\pi\)
−0.150647 + 0.988588i \(0.548136\pi\)
\(422\) −13.6464 + 3.65655i −0.664297 + 0.177998i
\(423\) −36.5578 + 3.93736i −1.77750 + 0.191441i
\(424\) 1.43344 + 1.43344i 0.0696140 + 0.0696140i
\(425\) 5.81632i 0.282133i
\(426\) −14.7870 + 12.6622i −0.716432 + 0.613484i
\(427\) 6.87166 + 6.87166i 0.332543 + 0.332543i
\(428\) −6.27276 + 10.8647i −0.303205 + 0.525167i
\(429\) −2.64200 1.61992i −0.127557 0.0782105i
\(430\) 1.24824 + 2.16202i 0.0601957 + 0.104262i
\(431\) 3.86478 14.4235i 0.186160 0.694758i −0.808220 0.588881i \(-0.799569\pi\)
0.994379 0.105876i \(-0.0337648\pi\)
\(432\) 0.156036 + 5.19381i 0.00750730 + 0.249887i
\(433\) −3.91621 2.26103i −0.188201 0.108658i 0.402939 0.915227i \(-0.367989\pi\)
−0.591140 + 0.806569i \(0.701322\pi\)
\(434\) 0.116497 0.434771i 0.00559201 0.0208697i
\(435\) 12.5192 + 0.969102i 0.600250 + 0.0464649i
\(436\) −2.53558 + 9.46291i −0.121432 + 0.453191i
\(437\) −1.42956 5.33518i −0.0683850 0.255216i
\(438\) −10.2859 3.62757i −0.491480 0.173332i
\(439\) −11.5668 6.67809i −0.552053 0.318728i 0.197897 0.980223i \(-0.436589\pi\)
−0.749949 + 0.661495i \(0.769922\pi\)
\(440\) 0.737687 + 0.197663i 0.0351679 + 0.00942320i
\(441\) −5.36117 13.8598i −0.255294 0.659990i
\(442\) −2.45092 7.58270i −0.116579 0.360672i
\(443\) 26.7016 15.4162i 1.26863 0.732445i 0.293903 0.955835i \(-0.405046\pi\)
0.974729 + 0.223390i \(0.0717124\pi\)
\(444\) −8.53206 17.8289i −0.404913 0.846120i
\(445\) 5.43623 0.257702
\(446\) −4.58289 7.93780i −0.217006 0.375865i
\(447\) 1.40651 18.1697i 0.0665254 0.859399i
\(448\) 1.01155 1.01155i 0.0477914 0.0477914i
\(449\) 10.3894 + 38.7738i 0.490306 + 1.82985i 0.554874 + 0.831934i \(0.312766\pi\)
−0.0645682 + 0.997913i \(0.520567\pi\)
\(450\) −3.19255 + 7.22046i −0.150498 + 0.340376i
\(451\) 1.99842 3.46137i 0.0941020 0.162989i
\(452\) −7.15327 + 12.3898i −0.336461 + 0.582768i
\(453\) −2.29752 + 29.6802i −0.107947 + 1.39450i
\(454\) 22.8707 + 13.2044i 1.07337 + 0.619713i
\(455\) 7.92762 0.403284i 0.371653 0.0189062i
\(456\) −5.08125 1.79202i −0.237951 0.0839192i
\(457\) −4.27321 15.9478i −0.199892 0.746008i −0.990946 0.134261i \(-0.957134\pi\)
0.791054 0.611747i \(-0.209533\pi\)
\(458\) 12.3141 7.10955i 0.575400 0.332207i
\(459\) 0.344870 + 11.4793i 0.0160972 + 0.535809i
\(460\) −1.93220 + 1.93220i −0.0900893 + 0.0900893i
\(461\) −9.76161 9.76161i −0.454643 0.454643i 0.442249 0.896892i \(-0.354181\pi\)
−0.896892 + 0.442249i \(0.854181\pi\)
\(462\) 0.0948988 1.22594i 0.00441509 0.0570357i
\(463\) 37.1831 9.96318i 1.72805 0.463028i 0.748314 0.663345i \(-0.230864\pi\)
0.979731 + 0.200316i \(0.0641970\pi\)
\(464\) −4.07958 + 2.35535i −0.189390 + 0.109344i
\(465\) 0.545505 + 0.637045i 0.0252972 + 0.0295423i
\(466\) −20.7182 + 5.55141i −0.959750 + 0.257164i
\(467\) 8.54433 0.395385 0.197692 0.980264i \(-0.436655\pi\)
0.197692 + 0.980264i \(0.436655\pi\)
\(468\) 1.11950 10.7586i 0.0517489 0.497315i
\(469\) −11.3332 −0.523319
\(470\) −18.2194 + 4.88188i −0.840400 + 0.225185i
\(471\) 12.6180 35.7782i 0.581408 1.64857i
\(472\) −2.42601 + 1.40066i −0.111666 + 0.0644704i
\(473\) −0.777580 + 0.208352i −0.0357532 + 0.00958003i
\(474\) −13.6384 9.34767i −0.626435 0.429353i
\(475\) −5.78855 5.78855i −0.265597 0.265597i
\(476\) 2.23573 2.23573i 0.102474 0.102474i
\(477\) 2.19402 + 5.67202i 0.100457 + 0.259704i
\(478\) 6.80960 3.93153i 0.311464 0.179824i
\(479\) 2.29400 + 8.56132i 0.104816 + 0.391177i 0.998324 0.0578691i \(-0.0184306\pi\)
−0.893509 + 0.449046i \(0.851764\pi\)
\(480\) 0.489127 + 2.62030i 0.0223255 + 0.119600i
\(481\) 12.6544 + 39.1503i 0.576990 + 1.78510i
\(482\) 16.0291 + 9.25438i 0.730104 + 0.421526i
\(483\) 3.62894 + 2.48724i 0.165123 + 0.113174i
\(484\) 5.37687 9.31301i 0.244403 0.423319i
\(485\) 5.66959 9.82002i 0.257443 0.445904i
\(486\) −5.87282 + 14.4399i −0.266396 + 0.655006i
\(487\) −2.81256 10.4966i −0.127449 0.475648i 0.872466 0.488675i \(-0.162520\pi\)
−0.999915 + 0.0130276i \(0.995853\pi\)
\(488\) 4.80350 4.80350i 0.217444 0.217444i
\(489\) −8.30840 + 3.97601i −0.375719 + 0.179802i
\(490\) −3.81164 6.60196i −0.172192 0.298246i
\(491\) −17.3462 −0.782822 −0.391411 0.920216i \(-0.628013\pi\)
−0.391411 + 0.920216i \(0.628013\pi\)
\(492\) 13.9085 + 1.07665i 0.627044 + 0.0485390i
\(493\) −9.01666 + 5.20577i −0.406090 + 0.234456i
\(494\) 9.98571 + 5.10727i 0.449279 + 0.229787i
\(495\) 1.78424 + 1.43728i 0.0801957 + 0.0646007i
\(496\) −0.303918 0.0814346i −0.0136463 0.00365652i
\(497\) 13.9247 + 8.03942i 0.624607 + 0.360617i
\(498\) 2.67559 + 14.3334i 0.119896 + 0.642295i
\(499\) −3.05648 11.4069i −0.136827 0.510644i −0.999984 0.00570844i \(-0.998183\pi\)
0.863157 0.504936i \(-0.168484\pi\)
\(500\) −3.03976 + 11.3445i −0.135942 + 0.507344i
\(501\) −10.6237 + 15.5003i −0.474634 + 0.692500i
\(502\) 5.71709 21.3365i 0.255166 0.952294i
\(503\) −20.1247 11.6190i −0.897316 0.518066i −0.0209877 0.999780i \(-0.506681\pi\)
−0.876329 + 0.481714i \(0.840014\pi\)
\(504\) 4.00264 1.54828i 0.178292 0.0689660i
\(505\) 2.19820 8.20380i 0.0978186 0.365064i
\(506\) −0.440564 0.763079i −0.0195855 0.0339230i
\(507\) −5.29540 + 21.8851i −0.235177 + 0.971953i
\(508\) 1.44766 2.50743i 0.0642297 0.111249i
\(509\) −2.53125 2.53125i −0.112195 0.112195i 0.648780 0.760976i \(-0.275279\pi\)
−0.760976 + 0.648780i \(0.775279\pi\)
\(510\) 1.08106 + 5.79137i 0.0478703 + 0.256446i
\(511\) 9.00829i 0.398503i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −11.7677 11.0813i −0.519558 0.489251i
\(514\) −29.1787 + 7.81841i −1.28702 + 0.344855i
\(515\) −22.4105 6.00487i −0.987523 0.264606i
\(516\) −1.82751 2.13418i −0.0804514 0.0939519i
\(517\) 6.08223i 0.267496i
\(518\) −11.5433 + 11.5433i −0.507183 + 0.507183i
\(519\) −2.73416 + 0.510381i −0.120017 + 0.0224033i
\(520\) −0.281908 5.54165i −0.0123625 0.243017i
\(521\) 4.89726i 0.214553i −0.994229 0.107277i \(-0.965787\pi\)
0.994229 0.107277i \(-0.0342130\pi\)
\(522\) −14.0508 + 1.51331i −0.614988 + 0.0662357i
\(523\) 0.745466 + 1.29119i 0.0325970 + 0.0564596i 0.881864 0.471504i \(-0.156289\pi\)
−0.849267 + 0.527964i \(0.822956\pi\)
\(524\) 13.0732 0.571107
\(525\) 6.50108 + 0.503244i 0.283730 + 0.0219634i
\(526\) −5.32422 1.42662i −0.232147 0.0622036i
\(527\) −0.671717 0.179986i −0.0292605 0.00784032i
\(528\) −0.856966 0.0663371i −0.0372947 0.00288695i
\(529\) −19.8473 −0.862928
\(530\) 1.55989 + 2.70180i 0.0677572 + 0.117359i
\(531\) −8.35562 + 0.899921i −0.362603 + 0.0390532i
\(532\) 4.45011i 0.192937i
\(533\) −28.3956 6.08118i −1.22995 0.263405i
\(534\) −6.01440 + 1.12270i −0.260268 + 0.0485838i
\(535\) −13.6522 + 13.6522i −0.590235 + 0.590235i
\(536\) 7.92226i 0.342190i
\(537\) −11.3311 13.2325i −0.488972 0.571026i
\(538\) 18.7580 + 5.02619i 0.808714 + 0.216694i
\(539\) 2.37442 0.636224i 0.102274 0.0274041i
\(540\) −1.83681 + 7.78288i −0.0790437 + 0.334922i
\(541\) −1.70268 1.70268i −0.0732039 0.0732039i 0.669557 0.742761i \(-0.266484\pi\)
−0.742761 + 0.669557i \(0.766484\pi\)
\(542\) 22.4023i 0.962260i
\(543\) 3.79754 + 20.3438i 0.162968 + 0.873036i
\(544\) −1.56284 1.56284i −0.0670063 0.0670063i
\(545\) −7.53840 + 13.0569i −0.322910 + 0.559296i
\(546\) −8.68748 + 2.08340i −0.371790 + 0.0891612i
\(547\) 6.38104 + 11.0523i 0.272833 + 0.472561i 0.969586 0.244750i \(-0.0787059\pi\)
−0.696753 + 0.717311i \(0.745373\pi\)
\(548\) 1.68543 6.29012i 0.0719981 0.268701i
\(549\) 19.0071 7.35223i 0.811203 0.313785i
\(550\) −1.13097 0.652963i −0.0482245 0.0278424i
\(551\) 3.79269 14.1545i 0.161574 0.603003i
\(552\) 1.73866 2.53674i 0.0740022 0.107971i
\(553\) −3.53450 + 13.1909i −0.150302 + 0.560936i
\(554\) −2.28369 8.52286i −0.0970248 0.362102i
\(555\) −5.58165 29.9015i −0.236928 1.26925i
\(556\) −14.4469 8.34095i −0.612687 0.353735i
\(557\) −11.2158 3.00527i −0.475229 0.127337i 0.0132513 0.999912i \(-0.495782\pi\)
−0.488480 + 0.872575i \(0.662449\pi\)
\(558\) −0.735085 0.592140i −0.0311186 0.0250673i
\(559\) 3.17801 + 4.91016i 0.134415 + 0.207678i
\(560\) 1.90661 1.10078i 0.0805692 0.0465166i
\(561\) −1.89406 0.146618i −0.0799673 0.00619021i
\(562\) −17.9061 −0.755323
\(563\) 20.4323 + 35.3898i 0.861119 + 1.49150i 0.870849 + 0.491550i \(0.163569\pi\)
−0.00973001 + 0.999953i \(0.503097\pi\)
\(564\) 19.1490 9.16380i 0.806317 0.385866i
\(565\) −15.5685 + 15.5685i −0.654973 + 0.654973i
\(566\) 1.89264 + 7.06341i 0.0795534 + 0.296897i
\(567\) 12.8606 + 0.607750i 0.540096 + 0.0255231i
\(568\) 5.61980 9.73378i 0.235802 0.408420i
\(569\) −3.20683 + 5.55440i −0.134437 + 0.232852i −0.925382 0.379035i \(-0.876256\pi\)
0.790945 + 0.611887i \(0.209589\pi\)
\(570\) −6.83962 4.68782i −0.286480 0.196351i
\(571\) 11.8701 + 6.85319i 0.496747 + 0.286797i 0.727369 0.686246i \(-0.240743\pi\)
−0.230622 + 0.973043i \(0.574076\pi\)
\(572\) 1.74958 + 0.374689i 0.0731537 + 0.0156665i
\(573\) −6.94317 37.1953i −0.290055 1.55385i
\(574\) −2.98207 11.1292i −0.124469 0.464525i
\(575\) 4.04658 2.33629i 0.168754 0.0974301i
\(576\) −1.08230 2.79797i −0.0450957 0.116582i
\(577\) −10.8626 + 10.8626i −0.452214 + 0.452214i −0.896089 0.443875i \(-0.853604\pi\)
0.443875 + 0.896089i \(0.353604\pi\)
\(578\) 8.56663 + 8.56663i 0.356325 + 0.356325i
\(579\) −18.7041 12.8196i −0.777315 0.532765i
\(580\) −7.00256 + 1.87633i −0.290766 + 0.0779104i
\(581\) 10.4294 6.02144i 0.432686 0.249811i
\(582\) −4.24454 + 12.0353i −0.175942 + 0.498880i
\(583\) −0.971715 + 0.260370i −0.0402443 + 0.0107834i
\(584\) 6.29707 0.260575
\(585\) 5.94944 15.5470i 0.245979 0.642788i
\(586\) 14.2641 0.589246
\(587\) 2.47016 0.661876i 0.101954 0.0273186i −0.207481 0.978239i \(-0.566527\pi\)
0.309435 + 0.950920i \(0.399860\pi\)
\(588\) 5.58047 + 6.51693i 0.230135 + 0.268753i
\(589\) 0.847637 0.489383i 0.0349263 0.0201647i
\(590\) −4.16422 + 1.11580i −0.171438 + 0.0459368i
\(591\) 0.329591 4.25777i 0.0135576 0.175141i
\(592\) 8.06912 + 8.06912i 0.331639 + 0.331639i
\(593\) −15.9796 + 15.9796i −0.656204 + 0.656204i −0.954480 0.298276i \(-0.903588\pi\)
0.298276 + 0.954480i \(0.403588\pi\)
\(594\) −2.27083 1.22165i −0.0931734 0.0501251i
\(595\) 4.21399 2.43295i 0.172757 0.0997411i
\(596\) 2.72321 + 10.1632i 0.111547 + 0.416299i
\(597\) 34.2273 + 12.0711i 1.40083 + 0.494035i
\(598\) −4.29101 + 4.75098i −0.175472 + 0.194282i
\(599\) 20.6867 + 11.9435i 0.845237 + 0.487998i 0.859041 0.511907i \(-0.171061\pi\)
−0.0138036 + 0.999905i \(0.504394\pi\)
\(600\) 0.351783 4.54445i 0.0143615 0.185527i
\(601\) 12.7060 22.0074i 0.518287 0.897700i −0.481487 0.876453i \(-0.659903\pi\)
0.999774 0.0212465i \(-0.00676348\pi\)
\(602\) −1.16031 + 2.00972i −0.0472908 + 0.0819101i
\(603\) −9.61101 + 21.7368i −0.391391 + 0.885191i
\(604\) −4.44836 16.6015i −0.181001 0.675505i
\(605\) 11.7023 11.7023i 0.475768 0.475768i
\(606\) −0.737733 + 9.53029i −0.0299683 + 0.387142i
\(607\) −10.3003 17.8407i −0.418078 0.724132i 0.577668 0.816272i \(-0.303963\pi\)
−0.995746 + 0.0921396i \(0.970629\pi\)
\(608\) 3.11076 0.126158
\(609\) 5.03850 + 10.5286i 0.204170 + 0.426641i
\(610\) 9.05382 5.22722i 0.366578 0.211644i
\(611\) −42.0491 + 13.5913i −1.70112 + 0.549847i
\(612\) −2.39208 6.18405i −0.0966942 0.249975i
\(613\) −6.32348 1.69437i −0.255403 0.0684350i 0.128846 0.991665i \(-0.458873\pi\)
−0.384249 + 0.923230i \(0.625539\pi\)
\(614\) 19.0916 + 11.0226i 0.770476 + 0.444835i
\(615\) 20.2465 + 7.14040i 0.816417 + 0.287929i
\(616\) 0.183739 + 0.685722i 0.00740304 + 0.0276285i
\(617\) −4.13493 + 15.4318i −0.166466 + 0.621260i 0.831383 + 0.555700i \(0.187550\pi\)
−0.997849 + 0.0655593i \(0.979117\pi\)
\(618\) 26.0341 + 2.01528i 1.04724 + 0.0810664i
\(619\) 5.84160 21.8012i 0.234794 0.876263i −0.743448 0.668794i \(-0.766811\pi\)
0.978242 0.207469i \(-0.0665225\pi\)
\(620\) −0.419345 0.242109i −0.0168413 0.00972334i
\(621\) 7.84795 4.85093i 0.314927 0.194661i
\(622\) 6.40761 23.9135i 0.256922 0.958845i
\(623\) 2.52664 + 4.37627i 0.101228 + 0.175331i
\(624\) 1.45636 + 6.07281i 0.0583010 + 0.243107i
\(625\) −2.45839 + 4.25805i −0.0983355 + 0.170322i
\(626\) 22.7271 + 22.7271i 0.908359 + 0.908359i
\(627\) 2.03093 1.73910i 0.0811077 0.0694529i
\(628\) 21.9035i 0.874046i
\(629\) 17.8343 + 17.8343i 0.711100 + 0.711100i
\(630\) 6.56673 0.707253i 0.261625 0.0281777i
\(631\) −16.8737 + 4.52128i −0.671730 + 0.179989i −0.578534 0.815658i \(-0.696375\pi\)
−0.0931960 + 0.995648i \(0.529708\pi\)
\(632\) 9.22086 + 2.47072i 0.366786 + 0.0982801i
\(633\) 24.0546 4.49022i 0.956084 0.178470i
\(634\) 29.9265i 1.18853i
\(635\) 3.15073 3.15073i 0.125033 0.125033i
\(636\) −2.28377 2.66700i −0.0905573 0.105754i
\(637\) −9.70437 14.9937i −0.384501 0.594072i
\(638\) 2.33768i 0.0925496i
\(639\) 27.2281 19.8894i 1.07713 0.786814i
\(640\) −0.769482 1.33278i −0.0304164 0.0526828i
\(641\) −36.5684 −1.44436 −0.722182 0.691703i \(-0.756861\pi\)
−0.722182 + 0.691703i \(0.756861\pi\)
\(642\) 12.2847 17.9236i 0.484838 0.707389i
\(643\) −33.7924 9.05466i −1.33264 0.357081i −0.478944 0.877846i \(-0.658980\pi\)
−0.853700 + 0.520765i \(0.825647\pi\)
\(644\) −2.45350 0.657414i −0.0966815 0.0259057i
\(645\) −1.86656 3.90042i −0.0734958 0.153579i
\(646\) 6.87538 0.270508
\(647\) −9.58684 16.6049i −0.376897 0.652806i 0.613712 0.789530i \(-0.289676\pi\)
−0.990609 + 0.136725i \(0.956342\pi\)
\(648\) 0.424835 8.98997i 0.0166891 0.353159i
\(649\) 1.39015i 0.0545682i
\(650\) −1.98696 + 9.27796i −0.0779350 + 0.363911i
\(651\) −0.259295 + 0.735226i −0.0101626 + 0.0288158i
\(652\) 3.76028 3.76028i 0.147264 0.147264i
\(653\) 6.63054i 0.259473i 0.991548 + 0.129737i \(0.0414132\pi\)
−0.991548 + 0.129737i \(0.958587\pi\)
\(654\) 5.64363 16.0024i 0.220683 0.625744i
\(655\) 19.4337 + 5.20724i 0.759337 + 0.203464i
\(656\) −7.77966 + 2.08455i −0.303745 + 0.0813882i
\(657\) 17.2777 + 7.63938i 0.674066 + 0.298041i
\(658\) −12.3980 12.3980i −0.483325 0.483325i
\(659\) 21.6577i 0.843665i 0.906674 + 0.421833i \(0.138613\pi\)
−0.906674 + 0.421833i \(0.861387\pi\)
\(660\) −1.24748 0.439952i −0.0485580 0.0171251i
\(661\) 7.30997 + 7.30997i 0.284325 + 0.284325i 0.834831 0.550506i \(-0.185565\pi\)
−0.550506 + 0.834831i \(0.685565\pi\)
\(662\) 3.31702 5.74525i 0.128920 0.223295i
\(663\) 3.21883 + 13.4221i 0.125009 + 0.521270i
\(664\) −4.20917 7.29049i −0.163347 0.282926i
\(665\) −1.77254 + 6.61519i −0.0687360 + 0.256526i
\(666\) 12.3506 + 31.9289i 0.478575 + 1.23722i
\(667\) 7.24360 + 4.18209i 0.280473 + 0.161931i
\(668\) 2.80800 10.4796i 0.108645 0.405469i
\(669\) 6.85302 + 14.3203i 0.264953 + 0.553654i
\(670\) −3.15554 + 11.7766i −0.121909 + 0.454971i
\(671\) 0.872508 + 3.25624i 0.0336828 + 0.125706i
\(672\) −1.88206 + 1.61162i −0.0726020 + 0.0621694i
\(673\) 22.7770 + 13.1503i 0.877990 + 0.506908i 0.869995 0.493060i \(-0.164122\pi\)
0.00799497 + 0.999968i \(0.497455\pi\)
\(674\) 22.4939 + 6.02723i 0.866434 + 0.232160i
\(675\) 6.47838 12.0421i 0.249353 0.463502i
\(676\) −1.31923 12.9329i −0.0507394 0.497419i
\(677\) −0.260338 + 0.150306i −0.0100056 + 0.00577673i −0.504994 0.863123i \(-0.668505\pi\)
0.494989 + 0.868899i \(0.335172\pi\)
\(678\) 14.0091 20.4396i 0.538016 0.784977i
\(679\) 10.5404 0.404504
\(680\) −1.70070 2.94570i −0.0652190 0.112963i
\(681\) −37.7299 25.8597i −1.44581 0.990948i
\(682\) 0.110407 0.110407i 0.00422772 0.00422772i
\(683\) 0.894421 + 3.33802i 0.0342241 + 0.127726i 0.980924 0.194390i \(-0.0622727\pi\)
−0.946700 + 0.322116i \(0.895606\pi\)
\(684\) 8.53518 + 3.77386i 0.326351 + 0.144297i
\(685\) 5.01088 8.67909i 0.191456 0.331611i
\(686\) 8.55007 14.8092i 0.326443 0.565416i
\(687\) −22.2154 + 10.6313i −0.847571 + 0.405608i
\(688\) 1.40486 + 0.811094i 0.0535596 + 0.0309227i
\(689\) 3.97144 + 6.13606i 0.151300 + 0.233765i
\(690\) 3.59498 3.07840i 0.136858 0.117193i
\(691\) 8.65698 + 32.3083i 0.329327 + 1.22906i 0.909890 + 0.414849i \(0.136166\pi\)
−0.580563 + 0.814215i \(0.697168\pi\)
\(692\) 1.39070 0.802919i 0.0528663 0.0305224i
\(693\) −0.327758 + 2.10436i −0.0124505 + 0.0799381i
\(694\) −14.2693 + 14.2693i −0.541655 + 0.541655i
\(695\) −18.1534 18.1534i −0.688599 0.688599i
\(696\) 7.35982 3.52207i 0.278973 0.133504i
\(697\) −17.1946 + 4.60727i −0.651290 + 0.174513i
\(698\) −21.7369 + 12.5498i −0.822752 + 0.475016i
\(699\) 36.5200 6.81711i 1.38131 0.257847i
\(700\) −3.63635 + 0.974358i −0.137441 + 0.0368273i
\(701\) 14.8908 0.562418 0.281209 0.959647i \(-0.409265\pi\)
0.281209 + 0.959647i \(0.409265\pi\)
\(702\) −3.37142 + 18.4291i −0.127246 + 0.695563i
\(703\) −35.4983 −1.33884
\(704\) 0.479340 0.128439i 0.0180658 0.00484072i
\(705\) 32.1155 5.99493i 1.20954 0.225782i
\(706\) 22.5939 13.0446i 0.850333 0.490940i
\(707\) 7.62589 2.04335i 0.286801 0.0768481i
\(708\) 4.37667 2.09447i 0.164485 0.0787150i
\(709\) −17.4183 17.4183i −0.654157 0.654157i 0.299834 0.953991i \(-0.403069\pi\)
−0.953991 + 0.299834i \(0.903069\pi\)
\(710\) 12.2311 12.2311i 0.459024 0.459024i
\(711\) 22.3025 + 17.9655i 0.836408 + 0.673759i
\(712\) 3.05914 1.76620i 0.114646 0.0661910i
\(713\) 0.144593 + 0.539629i 0.00541505 + 0.0202093i
\(714\) −4.15971 + 3.56198i −0.155673 + 0.133304i
\(715\) 2.45155 + 1.25387i 0.0916829 + 0.0468919i
\(716\) 8.71053 + 5.02903i 0.325528 + 0.187944i
\(717\) −12.2850 + 5.87901i −0.458790 + 0.219556i
\(718\) 16.3855 28.3805i 0.611502 1.05915i
\(719\) −17.8371 + 30.8948i −0.665213 + 1.15218i 0.314014 + 0.949418i \(0.398326\pi\)
−0.979227 + 0.202765i \(0.935007\pi\)
\(720\) −0.494392 4.59034i −0.0184249 0.171072i
\(721\) −5.58186 20.8318i −0.207879 0.775816i
\(722\) 6.59248 6.59248i 0.245347 0.245347i
\(723\) −26.4432 18.1240i −0.983435 0.674037i
\(724\) −5.97419 10.3476i −0.222029 0.384565i
\(725\) 12.3966 0.460399
\(726\) −10.5302 + 15.3637i −0.390811 + 0.570201i
\(727\) −8.14708 + 4.70372i −0.302159 + 0.174451i −0.643412 0.765520i \(-0.722482\pi\)
0.341254 + 0.939971i \(0.389149\pi\)
\(728\) 4.33011 2.80258i 0.160484 0.103870i
\(729\) 12.0720 24.1509i 0.447110 0.894479i
\(730\) 9.36075 + 2.50821i 0.346457 + 0.0928328i
\(731\) 3.10500 + 1.79267i 0.114843 + 0.0663044i
\(732\) −8.93721 + 7.65297i −0.330329 + 0.282862i
\(733\) −8.37893 31.2706i −0.309483 1.15501i −0.929017 0.370037i \(-0.879345\pi\)
0.619534 0.784970i \(-0.287322\pi\)
\(734\) −0.151492 + 0.565376i −0.00559167 + 0.0208684i
\(735\) 5.69974 + 11.9103i 0.210238 + 0.439320i
\(736\) −0.459552 + 1.71507i −0.0169393 + 0.0632184i
\(737\) −3.40471 1.96571i −0.125414 0.0724079i
\(738\) −23.8745 3.71849i −0.878831 0.136880i
\(739\) 7.68766 28.6907i 0.282795 1.05541i −0.667640 0.744484i \(-0.732696\pi\)
0.950436 0.310922i \(-0.100638\pi\)
\(740\) 8.78091 + 15.2090i 0.322793 + 0.559093i
\(741\) −16.5615 10.1545i −0.608400 0.373036i
\(742\) −1.45000 + 2.51148i −0.0532313 + 0.0921993i
\(743\) −17.4277 17.4277i −0.639359 0.639359i 0.311038 0.950397i \(-0.399323\pi\)
−0.950397 + 0.311038i \(0.899323\pi\)
\(744\) 0.513946 + 0.181255i 0.0188422 + 0.00664513i
\(745\) 16.1925i 0.593247i
\(746\) −19.3592 19.3592i −0.708790 0.708790i
\(747\) −2.70439 25.1098i −0.0989484 0.918719i
\(748\) 1.05943 0.283875i 0.0387368 0.0103795i
\(749\) −17.3355 4.64503i −0.633425 0.169726i
\(750\) 6.76582 19.1844i 0.247053 0.700515i
\(751\) 22.1321i 0.807610i 0.914845 + 0.403805i \(0.132313\pi\)
−0.914845 + 0.403805i \(0.867687\pi\)
\(752\) −8.66658 + 8.66658i −0.316038 + 0.316038i
\(753\) −12.7250 + 36.0814i −0.463723 + 1.31488i
\(754\) −16.1614 + 5.22378i −0.588563 + 0.190239i
\(755\) 26.4504i 0.962628i
\(756\) −7.11907 + 2.13864i −0.258918 + 0.0777817i
\(757\) 25.1440 + 43.5507i 0.913875 + 1.58288i 0.808540 + 0.588442i \(0.200258\pi\)
0.105336 + 0.994437i \(0.466408\pi\)
\(758\) 3.22915 0.117288
\(759\) 0.658797 + 1.37664i 0.0239128 + 0.0499690i
\(760\) 4.62422 + 1.23906i 0.167738 + 0.0449453i
\(761\) 8.09766 + 2.16976i 0.293540 + 0.0786538i 0.402584 0.915383i \(-0.368112\pi\)
−0.109044 + 0.994037i \(0.534779\pi\)
\(762\) −2.83513 + 4.13652i −0.102706 + 0.149850i
\(763\) −14.0147 −0.507368
\(764\) 10.9228 + 18.9189i 0.395174 + 0.684461i
\(765\) −1.09270 10.1455i −0.0395067 0.366813i
\(766\) 14.1015i 0.509508i
\(767\) −9.61071 + 3.10643i −0.347023 + 0.112167i
\(768\) 1.12657 + 1.31562i 0.0406515 + 0.0474732i
\(769\) −10.9600 + 10.9600i −0.395229