Properties

Label 234.2.z.a.41.5
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 41.5
Character \(\chi\) \(=\) 234.41
Dual form 234.2.z.a.137.5

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.880877 + 1.49133i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.93052 - 0.517281i) q^{5} +(-1.23685 - 1.21252i) q^{6} +(1.87601 + 1.87601i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.44811 + 2.62735i) q^{9} +O(q^{10})\) \(q+(-0.965926 + 0.258819i) q^{2} +(0.880877 + 1.49133i) q^{3} +(0.866025 - 0.500000i) q^{4} +(1.93052 - 0.517281i) q^{5} +(-1.23685 - 1.21252i) q^{6} +(1.87601 + 1.87601i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(-1.44811 + 2.62735i) q^{9} +(-1.73086 + 0.999310i) q^{10} +(-1.12909 - 4.21380i) q^{11} +(1.50853 + 0.851088i) q^{12} +(1.69527 - 3.18215i) q^{13} +(-2.29763 - 1.32654i) q^{14} +(2.47199 + 2.42337i) q^{15} +(0.500000 - 0.866025i) q^{16} +(-1.21062 + 2.09686i) q^{17} +(0.718758 - 2.91263i) q^{18} +(1.64767 + 6.14918i) q^{19} +(1.41324 - 1.41324i) q^{20} +(-1.14521 + 4.45027i) q^{21} +(2.18123 + 3.77799i) q^{22} -1.22153 q^{23} +(-1.67740 - 0.431653i) q^{24} +(-0.870804 + 0.502759i) q^{25} +(-0.813901 + 3.51249i) q^{26} +(-5.19385 + 0.154769i) q^{27} +(2.56267 + 0.686666i) q^{28} +(-3.87626 - 2.23796i) q^{29} +(-3.01497 - 1.70100i) q^{30} +(2.18253 + 8.14531i) q^{31} +(-0.258819 + 0.965926i) q^{32} +(5.28957 - 5.39568i) q^{33} +(0.626664 - 2.33874i) q^{34} +(4.59209 + 2.65124i) q^{35} +(0.0595757 + 2.99941i) q^{36} +(2.49571 - 9.31410i) q^{37} +(-3.18305 - 5.51321i) q^{38} +(6.23895 - 0.274886i) q^{39} +(-0.999310 + 1.73086i) q^{40} +(-4.85400 - 4.85400i) q^{41} +(-0.0456298 - 4.59503i) q^{42} -10.2840i q^{43} +(-3.08472 - 3.08472i) q^{44} +(-1.43652 + 5.82123i) q^{45} +(1.17991 - 0.316156i) q^{46} +(5.22728 + 1.40065i) q^{47} +(1.73197 - 0.0171989i) q^{48} +0.0387948i q^{49} +(0.711008 - 0.711008i) q^{50} +(-4.19351 + 0.0416426i) q^{51} +(-0.122930 - 3.60346i) q^{52} -0.142416i q^{53} +(4.97681 - 1.49376i) q^{54} +(-4.35944 - 7.55077i) q^{55} -2.65307 q^{56} +(-7.71905 + 7.87389i) q^{57} +(4.32340 + 1.15845i) q^{58} +(-3.88086 - 1.03987i) q^{59} +(3.35249 + 0.862710i) q^{60} -10.0548 q^{61} +(-4.21632 - 7.30289i) q^{62} +(-7.64559 + 2.21226i) q^{63} -1.00000i q^{64} +(1.62668 - 7.02013i) q^{65} +(-3.71283 + 6.58087i) q^{66} +(1.78863 - 1.78863i) q^{67} +2.42124i q^{68} +(-1.07602 - 1.82170i) q^{69} +(-5.12181 - 1.37238i) q^{70} +(7.11876 - 1.90747i) q^{71} +(-0.833850 - 2.88179i) q^{72} +(-4.15800 - 4.15800i) q^{73} +9.64266i q^{74} +(-1.51685 - 0.855784i) q^{75} +(4.50152 + 4.50152i) q^{76} +(5.78695 - 10.0233i) q^{77} +(-5.95521 + 1.88028i) q^{78} +(-0.161842 - 0.280319i) q^{79} +(0.517281 - 1.93052i) q^{80} +(-4.80595 - 7.60939i) q^{81} +(5.94491 + 3.43230i) q^{82} +(-1.01813 + 3.79971i) q^{83} +(1.23336 + 4.42665i) q^{84} +(-1.25246 + 4.67425i) q^{85} +(2.66170 + 9.93360i) q^{86} +(-0.0769806 - 7.75213i) q^{87} +(3.77799 + 2.18123i) q^{88} +(14.2994 + 3.83151i) q^{89} +(-0.119069 - 5.99468i) q^{90} +(9.15006 - 2.78940i) q^{91} +(-1.05788 + 0.610766i) q^{92} +(-10.2248 + 10.4299i) q^{93} -5.41168 q^{94} +(6.36171 + 11.0188i) q^{95} +(-1.66850 + 0.464878i) q^{96} +(-6.20661 + 6.20661i) q^{97} +(-0.0100408 - 0.0374729i) q^{98} +(12.7062 + 3.13555i) 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
\(3\) 0.880877 + 1.49133i 0.508575 + 0.861018i
\(4\) 0.866025 0.500000i 0.433013 0.250000i
\(5\) 1.93052 0.517281i 0.863354 0.231335i 0.200142 0.979767i \(-0.435860\pi\)
0.663212 + 0.748432i \(0.269193\pi\)
\(6\) −1.23685 1.21252i −0.504940 0.495010i
\(7\) 1.87601 + 1.87601i 0.709064 + 0.709064i 0.966338 0.257275i \(-0.0828245\pi\)
−0.257275 + 0.966338i \(0.582825\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.44811 + 2.62735i −0.482703 + 0.875784i
\(10\) −1.73086 + 0.999310i −0.547345 + 0.316010i
\(11\) −1.12909 4.21380i −0.340432 1.27051i −0.897859 0.440284i \(-0.854878\pi\)
0.557427 0.830226i \(-0.311789\pi\)
\(12\) 1.50853 + 0.851088i 0.435474 + 0.245688i
\(13\) 1.69527 3.18215i 0.470182 0.882569i
\(14\) −2.29763 1.32654i −0.614067 0.354532i
\(15\) 2.47199 + 2.42337i 0.638264 + 0.625712i
\(16\) 0.500000 0.866025i 0.125000 0.216506i
\(17\) −1.21062 + 2.09686i −0.293619 + 0.508563i −0.974663 0.223680i \(-0.928193\pi\)
0.681044 + 0.732243i \(0.261526\pi\)
\(18\) 0.718758 2.91263i 0.169413 0.686512i
\(19\) 1.64767 + 6.14918i 0.378001 + 1.41072i 0.848910 + 0.528538i \(0.177259\pi\)
−0.470909 + 0.882182i \(0.656074\pi\)
\(20\) 1.41324 1.41324i 0.316010 0.316010i
\(21\) −1.14521 + 4.45027i −0.249905 + 0.971128i
\(22\) 2.18123 + 3.77799i 0.465039 + 0.805471i
\(23\) −1.22153 −0.254707 −0.127353 0.991857i \(-0.540648\pi\)
−0.127353 + 0.991857i \(0.540648\pi\)
\(24\) −1.67740 0.431653i −0.342398 0.0881108i
\(25\) −0.870804 + 0.502759i −0.174161 + 0.100552i
\(26\) −0.813901 + 3.51249i −0.159619 + 0.688855i
\(27\) −5.19385 + 0.154769i −0.999556 + 0.0297854i
\(28\) 2.56267 + 0.686666i 0.484299 + 0.129768i
\(29\) −3.87626 2.23796i −0.719803 0.415578i 0.0948775 0.995489i \(-0.469754\pi\)
−0.814680 + 0.579911i \(0.803087\pi\)
\(30\) −3.01497 1.70100i −0.550456 0.310559i
\(31\) 2.18253 + 8.14531i 0.391994 + 1.46294i 0.826840 + 0.562437i \(0.190136\pi\)
−0.434847 + 0.900505i \(0.643197\pi\)
\(32\) −0.258819 + 0.965926i −0.0457532 + 0.170753i
\(33\) 5.28957 5.39568i 0.920796 0.939267i
\(34\) 0.626664 2.33874i 0.107472 0.401091i
\(35\) 4.59209 + 2.65124i 0.776204 + 0.448142i
\(36\) 0.0595757 + 2.99941i 0.00992928 + 0.499901i
\(37\) 2.49571 9.31410i 0.410291 1.53123i −0.383792 0.923420i \(-0.625382\pi\)
0.794083 0.607809i \(-0.207951\pi\)
\(38\) −3.18305 5.51321i −0.516359 0.894360i
\(39\) 6.23895 0.274886i 0.999031 0.0440170i
\(40\) −0.999310 + 1.73086i −0.158005 + 0.273672i
\(41\) −4.85400 4.85400i −0.758067 0.758067i 0.217903 0.975970i \(-0.430078\pi\)
−0.975970 + 0.217903i \(0.930078\pi\)
\(42\) −0.0456298 4.59503i −0.00704084 0.709029i
\(43\) 10.2840i 1.56830i −0.620573 0.784149i \(-0.713100\pi\)
0.620573 0.784149i \(-0.286900\pi\)
\(44\) −3.08472 3.08472i −0.465039 0.465039i
\(45\) −1.43652 + 5.82123i −0.214144 + 0.867778i
\(46\) 1.17991 0.316156i 0.173968 0.0466146i
\(47\) 5.22728 + 1.40065i 0.762477 + 0.204305i 0.619046 0.785355i \(-0.287520\pi\)
0.143432 + 0.989660i \(0.454186\pi\)
\(48\) 1.73197 0.0171989i 0.249988 0.00248244i
\(49\) 0.0387948i 0.00554211i
\(50\) 0.711008 0.711008i 0.100552 0.100552i
\(51\) −4.19351 + 0.0416426i −0.587209 + 0.00583113i
\(52\) −0.122930 3.60346i −0.0170473 0.499709i
\(53\) 0.142416i 0.0195624i −0.999952 0.00978119i \(-0.996887\pi\)
0.999952 0.00978119i \(-0.00311350\pi\)
\(54\) 4.97681 1.49376i 0.677259 0.203275i
\(55\) −4.35944 7.55077i −0.587827 1.01815i
\(56\) −2.65307 −0.354532
\(57\) −7.71905 + 7.87389i −1.02241 + 1.04292i
\(58\) 4.32340 + 1.15845i 0.567690 + 0.152112i
\(59\) −3.88086 1.03987i −0.505245 0.135380i −0.00281160 0.999996i \(-0.500895\pi\)
−0.502433 + 0.864616i \(0.667562\pi\)
\(60\) 3.35249 + 0.862710i 0.432804 + 0.111375i
\(61\) −10.0548 −1.28738 −0.643689 0.765287i \(-0.722597\pi\)
−0.643689 + 0.765287i \(0.722597\pi\)
\(62\) −4.21632 7.30289i −0.535474 0.927467i
\(63\) −7.64559 + 2.21226i −0.963254 + 0.278719i
\(64\) 1.00000i 0.125000i
\(65\) 1.62668 7.02013i 0.201765 0.870740i
\(66\) −3.71283 + 6.58087i −0.457018 + 0.810049i
\(67\) 1.78863 1.78863i 0.218516 0.218516i −0.589357 0.807873i \(-0.700619\pi\)
0.807873 + 0.589357i \(0.200619\pi\)
\(68\) 2.42124i 0.293619i
\(69\) −1.07602 1.82170i −0.129538 0.219307i
\(70\) −5.12181 1.37238i −0.612173 0.164031i
\(71\) 7.11876 1.90747i 0.844841 0.226375i 0.189663 0.981849i \(-0.439260\pi\)
0.655178 + 0.755475i \(0.272594\pi\)
\(72\) −0.833850 2.88179i −0.0982701 0.339622i
\(73\) −4.15800 4.15800i −0.486657 0.486657i 0.420592 0.907250i \(-0.361822\pi\)
−0.907250 + 0.420592i \(0.861822\pi\)
\(74\) 9.64266i 1.12094i
\(75\) −1.51685 0.855784i −0.175151 0.0988174i
\(76\) 4.50152 + 4.50152i 0.516359 + 0.516359i
\(77\) 5.78695 10.0233i 0.659484 1.14226i
\(78\) −5.95521 + 1.88028i −0.674295 + 0.212899i
\(79\) −0.161842 0.280319i −0.0182087 0.0315383i 0.856777 0.515686i \(-0.172463\pi\)
−0.874986 + 0.484148i \(0.839130\pi\)
\(80\) 0.517281 1.93052i 0.0578338 0.215839i
\(81\) −4.80595 7.60939i −0.533995 0.845488i
\(82\) 5.94491 + 3.43230i 0.656505 + 0.379034i
\(83\) −1.01813 + 3.79971i −0.111754 + 0.417072i −0.999024 0.0441792i \(-0.985933\pi\)
0.887269 + 0.461252i \(0.152599\pi\)
\(84\) 1.23336 + 4.42665i 0.134570 + 0.482987i
\(85\) −1.25246 + 4.67425i −0.135849 + 0.506994i
\(86\) 2.66170 + 9.93360i 0.287018 + 1.07117i
\(87\) −0.0769806 7.75213i −0.00825319 0.831115i
\(88\) 3.77799 + 2.18123i 0.402735 + 0.232519i
\(89\) 14.2994 + 3.83151i 1.51573 + 0.406140i 0.918335 0.395805i \(-0.129534\pi\)
0.597399 + 0.801944i \(0.296201\pi\)
\(90\) −0.119069 5.99468i −0.0125510 0.631895i
\(91\) 9.15006 2.78940i 0.959187 0.292408i
\(92\) −1.05788 + 0.610766i −0.110291 + 0.0636767i
\(93\) −10.2248 + 10.4299i −1.06026 + 1.08153i
\(94\) −5.41168 −0.558172
\(95\) 6.36171 + 11.0188i 0.652698 + 1.13051i
\(96\) −1.66850 + 0.464878i −0.170290 + 0.0474465i
\(97\) −6.20661 + 6.20661i −0.630185 + 0.630185i −0.948115 0.317929i \(-0.897013\pi\)
0.317929 + 0.948115i \(0.397013\pi\)
\(98\) −0.0100408 0.0374729i −0.00101428 0.00378533i
\(99\) 12.7062 + 3.13555i 1.27702 + 0.315134i
\(100\) −0.502759 + 0.870804i −0.0502759 + 0.0870804i
\(101\) −1.76687 + 3.06031i −0.175810 + 0.304512i −0.940441 0.339956i \(-0.889588\pi\)
0.764631 + 0.644468i \(0.222921\pi\)
\(102\) 4.03984 1.12558i 0.400004 0.111449i
\(103\) −12.1415 7.00991i −1.19634 0.690707i −0.236603 0.971606i \(-0.576034\pi\)
−0.959737 + 0.280899i \(0.909367\pi\)
\(104\) 1.05138 + 3.44885i 0.103097 + 0.338188i
\(105\) 0.0911967 + 9.18372i 0.00889989 + 0.896239i
\(106\) 0.0368600 + 0.137563i 0.00358016 + 0.0133613i
\(107\) 8.57787 4.95244i 0.829254 0.478770i −0.0243429 0.999704i \(-0.507749\pi\)
0.853597 + 0.520933i \(0.174416\pi\)
\(108\) −4.42062 + 2.73096i −0.425374 + 0.262787i
\(109\) 5.54653 5.54653i 0.531261 0.531261i −0.389687 0.920948i \(-0.627417\pi\)
0.920948 + 0.389687i \(0.127417\pi\)
\(110\) 6.16518 + 6.16518i 0.587827 + 0.587827i
\(111\) 16.0888 4.48267i 1.52708 0.425476i
\(112\) 2.56267 0.686666i 0.242150 0.0648838i
\(113\) −11.6666 + 6.73569i −1.09750 + 0.633640i −0.935562 0.353161i \(-0.885107\pi\)
−0.161935 + 0.986801i \(0.551773\pi\)
\(114\) 5.41812 9.60343i 0.507453 0.899444i
\(115\) −2.35819 + 0.631875i −0.219902 + 0.0589226i
\(116\) −4.47591 −0.415578
\(117\) 5.90569 + 9.06216i 0.545981 + 0.837797i
\(118\) 4.01776 0.369865
\(119\) −6.20485 + 1.66258i −0.568797 + 0.152409i
\(120\) −3.46154 + 0.0343740i −0.315994 + 0.00313790i
\(121\) −6.95503 + 4.01549i −0.632276 + 0.365044i
\(122\) 9.71214 2.60236i 0.879296 0.235607i
\(123\) 2.96312 11.5147i 0.267175 1.03824i
\(124\) 5.96278 + 5.96278i 0.535474 + 0.535474i
\(125\) −8.48722 + 8.48722i −0.759120 + 0.759120i
\(126\) 6.81250 4.11571i 0.606905 0.366656i
\(127\) −2.38546 + 1.37724i −0.211675 + 0.122211i −0.602090 0.798429i \(-0.705665\pi\)
0.390415 + 0.920639i \(0.372332\pi\)
\(128\) 0.258819 + 0.965926i 0.0228766 + 0.0853766i
\(129\) 15.3368 9.05896i 1.35033 0.797597i
\(130\) 0.245691 + 7.20194i 0.0215485 + 0.631652i
\(131\) −0.591828 0.341692i −0.0517083 0.0298538i 0.473923 0.880566i \(-0.342837\pi\)
−0.525631 + 0.850713i \(0.676171\pi\)
\(132\) 1.88306 7.31758i 0.163900 0.636914i
\(133\) −8.44487 + 14.6269i −0.732263 + 1.26832i
\(134\) −1.26475 + 2.19061i −0.109258 + 0.189240i
\(135\) −9.94676 + 2.98546i −0.856081 + 0.256948i
\(136\) −0.626664 2.33874i −0.0537360 0.200545i
\(137\) 15.9277 15.9277i 1.36079 1.36079i 0.487884 0.872908i \(-0.337769\pi\)
0.872908 0.487884i \(-0.162231\pi\)
\(138\) 1.51085 + 1.48114i 0.128612 + 0.126083i
\(139\) 9.77449 + 16.9299i 0.829062 + 1.43598i 0.898775 + 0.438410i \(0.144458\pi\)
−0.0697133 + 0.997567i \(0.522208\pi\)
\(140\) 5.30248 0.448142
\(141\) 2.51577 + 9.02938i 0.211866 + 0.760411i
\(142\) −6.38250 + 3.68494i −0.535608 + 0.309233i
\(143\) −15.3231 3.55060i −1.28138 0.296916i
\(144\) 1.55130 + 2.56778i 0.129275 + 0.213981i
\(145\) −8.64084 2.31531i −0.717582 0.192276i
\(146\) 5.09249 + 2.94015i 0.421458 + 0.243329i
\(147\) −0.0578557 + 0.0341734i −0.00477185 + 0.00281858i
\(148\) −2.49571 9.31410i −0.205146 0.765614i
\(149\) −1.27189 + 4.74676i −0.104197 + 0.388869i −0.998253 0.0590865i \(-0.981181\pi\)
0.894056 + 0.447956i \(0.147848\pi\)
\(150\) 1.68666 + 0.434034i 0.137715 + 0.0354388i
\(151\) 1.03704 3.87030i 0.0843934 0.314961i −0.910805 0.412836i \(-0.864538\pi\)
0.995199 + 0.0978758i \(0.0312048\pi\)
\(152\) −5.51321 3.18305i −0.447180 0.258180i
\(153\) −3.75607 6.21721i −0.303660 0.502631i
\(154\) −2.99555 + 11.1795i −0.241388 + 0.900872i
\(155\) 8.42683 + 14.5957i 0.676859 + 1.17235i
\(156\) 5.26564 3.35753i 0.421589 0.268818i
\(157\) 0.0374157 0.0648059i 0.00298610 0.00517207i −0.864528 0.502584i \(-0.832383\pi\)
0.867515 + 0.497412i \(0.165716\pi\)
\(158\) 0.228879 + 0.228879i 0.0182087 + 0.0182087i
\(159\) 0.212389 0.125451i 0.0168436 0.00994893i
\(160\) 1.99862i 0.158005i
\(161\) −2.29160 2.29160i −0.180603 0.180603i
\(162\) 6.61165 + 6.10623i 0.519460 + 0.479751i
\(163\) 18.0329 4.83191i 1.41245 0.378464i 0.529649 0.848217i \(-0.322324\pi\)
0.882798 + 0.469752i \(0.155657\pi\)
\(164\) −6.63068 1.77669i −0.517769 0.138736i
\(165\) 7.42054 13.1527i 0.577688 1.02393i
\(166\) 3.93375i 0.305318i
\(167\) −12.8699 + 12.8699i −0.995905 + 0.995905i −0.999992 0.00408714i \(-0.998699\pi\)
0.00408714 + 0.999992i \(0.498699\pi\)
\(168\) −2.33703 3.95660i −0.180306 0.305258i
\(169\) −7.25214 10.7892i −0.557857 0.829937i
\(170\) 4.83914i 0.371145i
\(171\) −18.5421 4.57569i −1.41795 0.349912i
\(172\) −5.14201 8.90622i −0.392075 0.679093i
\(173\) −4.39545 −0.334180 −0.167090 0.985942i \(-0.553437\pi\)
−0.167090 + 0.985942i \(0.553437\pi\)
\(174\) 2.08076 + 7.46806i 0.157742 + 0.566152i
\(175\) −2.57681 0.690454i −0.194789 0.0521934i
\(176\) −4.21380 1.12909i −0.317627 0.0851080i
\(177\) −1.86777 6.70363i −0.140390 0.503875i
\(178\) −14.8038 −1.10959
\(179\) 5.44340 + 9.42824i 0.406859 + 0.704700i 0.994536 0.104396i \(-0.0332909\pi\)
−0.587677 + 0.809095i \(0.699958\pi\)
\(180\) 1.66655 + 5.75960i 0.124217 + 0.429295i
\(181\) 3.13809i 0.233253i 0.993176 + 0.116626i \(0.0372080\pi\)
−0.993176 + 0.116626i \(0.962792\pi\)
\(182\) −8.11633 + 5.06256i −0.601622 + 0.375262i
\(183\) −8.85700 14.9949i −0.654728 1.10846i
\(184\) 0.863753 0.863753i 0.0636767 0.0636767i
\(185\) 19.2720i 1.41691i
\(186\) 7.17692 12.7209i 0.526238 0.932739i
\(187\) 10.2026 + 2.73379i 0.746091 + 0.199914i
\(188\) 5.22728 1.40065i 0.381239 0.102153i
\(189\) −10.0340 9.45334i −0.729869 0.687629i
\(190\) −8.99682 8.99682i −0.652698 0.652698i
\(191\) 16.6360i 1.20374i 0.798595 + 0.601869i \(0.205577\pi\)
−0.798595 + 0.601869i \(0.794423\pi\)
\(192\) 1.49133 0.880877i 0.107627 0.0635718i
\(193\) −10.8194 10.8194i −0.778799 0.778799i 0.200827 0.979627i \(-0.435637\pi\)
−0.979627 + 0.200827i \(0.935637\pi\)
\(194\) 4.38873 7.60151i 0.315093 0.545757i
\(195\) 11.9022 3.75796i 0.852335 0.269113i
\(196\) 0.0193974 + 0.0335972i 0.00138553 + 0.00239980i
\(197\) −5.36725 + 20.0309i −0.382401 + 1.42714i 0.459822 + 0.888011i \(0.347913\pi\)
−0.842223 + 0.539129i \(0.818753\pi\)
\(198\) −13.0848 + 0.259896i −0.929894 + 0.0184700i
\(199\) 5.37244 + 3.10178i 0.380842 + 0.219879i 0.678185 0.734892i \(-0.262767\pi\)
−0.297342 + 0.954771i \(0.596100\pi\)
\(200\) 0.260247 0.971255i 0.0184022 0.0686781i
\(201\) 4.24299 + 1.09187i 0.299277 + 0.0770143i
\(202\) 0.914599 3.41333i 0.0643510 0.240161i
\(203\) −3.07346 11.4703i −0.215714 0.805057i
\(204\) −3.61086 + 2.13282i −0.252811 + 0.149327i
\(205\) −11.8816 6.85985i −0.829848 0.479113i
\(206\) 13.5421 + 3.62860i 0.943524 + 0.252816i
\(207\) 1.76891 3.20939i 0.122948 0.223068i
\(208\) −1.90819 3.05922i −0.132309 0.212119i
\(209\) 24.0511 13.8859i 1.66365 0.960508i
\(210\) −2.46501 8.84719i −0.170102 0.610514i
\(211\) −8.45099 −0.581790 −0.290895 0.956755i \(-0.593953\pi\)
−0.290895 + 0.956755i \(0.593953\pi\)
\(212\) −0.0712081 0.123336i −0.00489059 0.00847076i
\(213\) 9.11541 + 8.93615i 0.624577 + 0.612295i
\(214\) −7.00381 + 7.00381i −0.478770 + 0.478770i
\(215\) −5.31973 19.8535i −0.362802 1.35400i
\(216\) 3.56317 3.78204i 0.242443 0.257335i
\(217\) −11.1862 + 19.3751i −0.759370 + 1.31527i
\(218\) −3.92199 + 6.79308i −0.265630 + 0.460086i
\(219\) 2.53825 9.86363i 0.171519 0.666522i
\(220\) −7.55077 4.35944i −0.509073 0.293913i
\(221\) 4.62019 + 7.40711i 0.310787 + 0.498256i
\(222\) −14.3804 + 8.49401i −0.965147 + 0.570080i
\(223\) 2.84796 + 10.6287i 0.190713 + 0.711752i 0.993335 + 0.115264i \(0.0367713\pi\)
−0.802621 + 0.596489i \(0.796562\pi\)
\(224\) −2.29763 + 1.32654i −0.153517 + 0.0886329i
\(225\) −0.0599044 3.01596i −0.00399362 0.201064i
\(226\) 9.52570 9.52570i 0.633640 0.633640i
\(227\) 5.59976 + 5.59976i 0.371669 + 0.371669i 0.868085 0.496416i \(-0.165351\pi\)
−0.496416 + 0.868085i \(0.665351\pi\)
\(228\) −2.74795 + 10.6785i −0.181987 + 0.707202i
\(229\) −1.40853 + 0.377414i −0.0930780 + 0.0249402i −0.305057 0.952334i \(-0.598676\pi\)
0.211979 + 0.977274i \(0.432009\pi\)
\(230\) 2.11429 1.22069i 0.139412 0.0804898i
\(231\) 20.0456 0.199058i 1.31890 0.0130970i
\(232\) 4.32340 1.15845i 0.283845 0.0760561i
\(233\) −4.39305 −0.287799 −0.143899 0.989592i \(-0.545964\pi\)
−0.143899 + 0.989592i \(0.545964\pi\)
\(234\) −8.04992 7.22487i −0.526240 0.472305i
\(235\) 10.8159 0.705551
\(236\) −3.88086 + 1.03987i −0.252622 + 0.0676899i
\(237\) 0.275484 0.488286i 0.0178946 0.0317176i
\(238\) 5.56311 3.21187i 0.360603 0.208194i
\(239\) −8.98867 + 2.40851i −0.581429 + 0.155793i −0.537533 0.843243i \(-0.680644\pi\)
−0.0438958 + 0.999036i \(0.513977\pi\)
\(240\) 3.33470 0.929115i 0.215254 0.0599741i
\(241\) 1.17890 + 1.17890i 0.0759395 + 0.0759395i 0.744056 0.668117i \(-0.232899\pi\)
−0.668117 + 0.744056i \(0.732899\pi\)
\(242\) 5.67876 5.67876i 0.365044 0.365044i
\(243\) 7.11463 13.8702i 0.456404 0.889773i
\(244\) −8.70767 + 5.02738i −0.557451 + 0.321845i
\(245\) 0.0200678 + 0.0748940i 0.00128208 + 0.00478480i
\(246\) 0.118063 + 11.8892i 0.00752743 + 0.758030i
\(247\) 22.3609 + 5.18138i 1.42279 + 0.329683i
\(248\) −7.30289 4.21632i −0.463734 0.267737i
\(249\) −6.56346 + 1.82872i −0.415942 + 0.115890i
\(250\) 6.00137 10.3947i 0.379560 0.657418i
\(251\) −3.88661 + 6.73180i −0.245321 + 0.424908i −0.962222 0.272267i \(-0.912227\pi\)
0.716901 + 0.697175i \(0.245560\pi\)
\(252\) −5.51514 + 5.73867i −0.347421 + 0.361502i
\(253\) 1.37921 + 5.14729i 0.0867104 + 0.323608i
\(254\) 1.94772 1.94772i 0.122211 0.122211i
\(255\) −8.07410 + 2.24961i −0.505620 + 0.140876i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 25.7870 1.60855 0.804274 0.594259i \(-0.202555\pi\)
0.804274 + 0.594259i \(0.202555\pi\)
\(258\) −12.4696 + 12.7197i −0.776324 + 0.791897i
\(259\) 22.1553 12.7913i 1.37666 0.794816i
\(260\) −2.10132 6.89295i −0.130318 0.427483i
\(261\) 11.4931 6.94348i 0.711408 0.429790i
\(262\) 0.660098 + 0.176873i 0.0407810 + 0.0109272i
\(263\) −23.1774 13.3815i −1.42918 0.825136i −0.432122 0.901815i \(-0.642235\pi\)
−0.997056 + 0.0766793i \(0.975568\pi\)
\(264\) 0.0750292 + 7.55561i 0.00461773 + 0.465016i
\(265\) −0.0736692 0.274937i −0.00452546 0.0168893i
\(266\) 4.37139 16.3142i 0.268027 1.00029i
\(267\) 6.88198 + 24.7002i 0.421170 + 1.51163i
\(268\) 0.654683 2.44331i 0.0399911 0.149249i
\(269\) 17.6997 + 10.2189i 1.07917 + 0.623058i 0.930672 0.365855i \(-0.119223\pi\)
0.148496 + 0.988913i \(0.452557\pi\)
\(270\) 8.83514 5.45815i 0.537689 0.332172i
\(271\) −5.01971 + 18.7338i −0.304926 + 1.13800i 0.628083 + 0.778146i \(0.283840\pi\)
−0.933009 + 0.359853i \(0.882827\pi\)
\(272\) 1.21062 + 2.09686i 0.0734047 + 0.127141i
\(273\) 12.2200 + 11.1886i 0.739587 + 0.677165i
\(274\) −11.2626 + 19.5073i −0.680396 + 1.17848i
\(275\) 3.10174 + 3.10174i 0.187042 + 0.187042i
\(276\) −1.84271 1.03963i −0.110918 0.0625784i
\(277\) 10.6829i 0.641875i −0.947100 0.320937i \(-0.896002\pi\)
0.947100 0.320937i \(-0.103998\pi\)
\(278\) −13.8232 13.8232i −0.829062 0.829062i
\(279\) −24.5611 6.06104i −1.47044 0.362865i
\(280\) −5.12181 + 1.37238i −0.306087 + 0.0820156i
\(281\) −21.9870 5.89140i −1.31163 0.351451i −0.465797 0.884892i \(-0.654232\pi\)
−0.845838 + 0.533440i \(0.820899\pi\)
\(282\) −4.76703 8.07058i −0.283872 0.480596i
\(283\) 0.508663i 0.0302369i −0.999886 0.0151184i \(-0.995187\pi\)
0.999886 0.0151184i \(-0.00481253\pi\)
\(284\) 5.21129 5.21129i 0.309233 0.309233i
\(285\) −10.8288 + 19.1936i −0.641440 + 1.13693i
\(286\) 15.7199 0.536277i 0.929537 0.0317107i
\(287\) 18.2123i 1.07504i
\(288\) −2.16303 2.07878i −0.127458 0.122493i
\(289\) 5.56879 + 9.64543i 0.327576 + 0.567378i
\(290\) 8.94565 0.525307
\(291\) −14.7233 3.78882i −0.863097 0.222104i
\(292\) −5.67994 1.52193i −0.332393 0.0890645i
\(293\) −20.7377 5.55666i −1.21151 0.324624i −0.404157 0.914690i \(-0.632435\pi\)
−0.807355 + 0.590066i \(0.799102\pi\)
\(294\) 0.0470395 0.0479831i 0.00274340 0.00279843i
\(295\) −8.02997 −0.467523
\(296\) 4.82133 + 8.35079i 0.280234 + 0.485380i
\(297\) 6.51646 + 21.7111i 0.378124 + 1.25981i
\(298\) 4.91420i 0.284672i
\(299\) −2.07082 + 3.88709i −0.119759 + 0.224797i
\(300\) −1.74152 + 0.0172938i −0.100547 + 0.000998455i
\(301\) 19.2929 19.2929i 1.11202 1.11202i
\(302\) 4.00683i 0.230567i
\(303\) −6.12032 + 0.0607763i −0.351603 + 0.00349151i
\(304\) 6.14918 + 1.64767i 0.352680 + 0.0945003i
\(305\) −19.4109 + 5.20113i −1.11146 + 0.297816i
\(306\) 5.23722 + 5.03322i 0.299392 + 0.287730i
\(307\) −16.9627 16.9627i −0.968112 0.968112i 0.0313952 0.999507i \(-0.490005\pi\)
−0.999507 + 0.0313952i \(0.990005\pi\)
\(308\) 11.5739i 0.659484i
\(309\) −0.241125 24.2819i −0.0137171 1.38135i
\(310\) −11.9173 11.9173i −0.676859 0.676859i
\(311\) −16.5307 + 28.6320i −0.937370 + 1.62357i −0.167017 + 0.985954i \(0.553413\pi\)
−0.770353 + 0.637618i \(0.779920\pi\)
\(312\) −4.21723 + 4.60597i −0.238753 + 0.260762i
\(313\) 7.32210 + 12.6823i 0.413870 + 0.716843i 0.995309 0.0967464i \(-0.0308436\pi\)
−0.581439 + 0.813590i \(0.697510\pi\)
\(314\) −0.0193678 + 0.0722816i −0.00109299 + 0.00407908i
\(315\) −13.6156 + 8.22574i −0.767152 + 0.463468i
\(316\) −0.280319 0.161842i −0.0157692 0.00910433i
\(317\) −0.361436 + 1.34890i −0.0203003 + 0.0757616i −0.975333 0.220739i \(-0.929153\pi\)
0.955033 + 0.296501i \(0.0958197\pi\)
\(318\) −0.172683 + 0.176147i −0.00968358 + 0.00987783i
\(319\) −5.05369 + 18.8606i −0.282952 + 1.05599i
\(320\) −0.517281 1.93052i −0.0289169 0.107919i
\(321\) 14.9418 + 8.42992i 0.833968 + 0.470512i
\(322\) 2.80663 + 1.62041i 0.156407 + 0.0903017i
\(323\) −14.8887 3.98941i −0.828427 0.221976i
\(324\) −7.96677 4.18695i −0.442598 0.232608i
\(325\) 0.123608 + 3.62334i 0.00685656 + 0.200987i
\(326\) −16.1679 + 9.33453i −0.895456 + 0.516992i
\(327\) 13.1575 + 3.38587i 0.727611 + 0.187239i
\(328\) 6.86459 0.379034
\(329\) 7.17879 + 12.4340i 0.395780 + 0.685510i
\(330\) −3.76353 + 14.6251i −0.207176 + 0.805083i
\(331\) 12.3912 12.3912i 0.681081 0.681081i −0.279163 0.960244i \(-0.590057\pi\)
0.960244 + 0.279163i \(0.0900569\pi\)
\(332\) 1.01813 + 3.79971i 0.0558771 + 0.208536i
\(333\) 20.8574 + 20.0449i 1.14298 + 1.09846i
\(334\) 9.10041 15.7624i 0.497952 0.862479i
\(335\) 2.52776 4.37820i 0.138106 0.239207i
\(336\) 3.28144 + 3.21691i 0.179017 + 0.175497i
\(337\) 22.3033 + 12.8768i 1.21494 + 0.701445i 0.963831 0.266514i \(-0.0858719\pi\)
0.251108 + 0.967959i \(0.419205\pi\)
\(338\) 9.79748 + 8.54456i 0.532912 + 0.464763i
\(339\) −20.3219 11.4653i −1.10373 0.622711i
\(340\) 1.25246 + 4.67425i 0.0679243 + 0.253497i
\(341\) 31.8585 18.3935i 1.72523 0.996064i
\(342\) 19.0945 0.379265i 1.03251 0.0205083i
\(343\) 13.0593 13.0593i 0.705134 0.705134i
\(344\) 7.27190 + 7.27190i 0.392075 + 0.392075i
\(345\) −3.01961 2.96023i −0.162570 0.159373i
\(346\) 4.24568 1.13763i 0.228249 0.0611592i
\(347\) 19.4800 11.2468i 1.04574 0.603758i 0.124286 0.992246i \(-0.460336\pi\)
0.921453 + 0.388489i \(0.127003\pi\)
\(348\) −3.94273 6.67505i −0.211353 0.357820i
\(349\) 16.0726 4.30665i 0.860348 0.230530i 0.198439 0.980113i \(-0.436413\pi\)
0.661910 + 0.749584i \(0.269746\pi\)
\(350\) 2.66771 0.142595
\(351\) −8.31246 + 16.7900i −0.443686 + 0.896182i
\(352\) 4.36245 0.232519
\(353\) 32.4783 8.70255i 1.72865 0.463190i 0.748777 0.662822i \(-0.230641\pi\)
0.979871 + 0.199632i \(0.0639748\pi\)
\(354\) 3.53915 + 5.99179i 0.188104 + 0.318460i
\(355\) 12.7562 7.36480i 0.677029 0.390883i
\(356\) 14.2994 3.83151i 0.757867 0.203070i
\(357\) −7.94517 7.78892i −0.420503 0.412233i
\(358\) −7.69812 7.69812i −0.406859 0.406859i
\(359\) −18.7010 + 18.7010i −0.987001 + 0.987001i −0.999917 0.0129158i \(-0.995889\pi\)
0.0129158 + 0.999917i \(0.495889\pi\)
\(360\) −3.10046 5.13201i −0.163408 0.270481i
\(361\) −18.6432 + 10.7636i −0.981220 + 0.566507i
\(362\) −0.812199 3.03117i −0.0426882 0.159315i
\(363\) −12.1149 6.83507i −0.635869 0.358748i
\(364\) 6.52948 6.99072i 0.342238 0.366413i
\(365\) −10.1780 5.87625i −0.532739 0.307577i
\(366\) 12.4362 + 12.1916i 0.650049 + 0.637266i
\(367\) −17.5180 + 30.3421i −0.914432 + 1.58384i −0.106702 + 0.994291i \(0.534029\pi\)
−0.807730 + 0.589552i \(0.799304\pi\)
\(368\) −0.610766 + 1.05788i −0.0318384 + 0.0551457i
\(369\) 19.7823 5.72404i 1.02982 0.297981i
\(370\) 4.98797 + 18.6153i 0.259312 + 0.967766i
\(371\) 0.267174 0.267174i 0.0138710 0.0138710i
\(372\) −3.63998 + 14.1449i −0.188724 + 0.733381i
\(373\) −3.17079 5.49197i −0.164177 0.284364i 0.772185 0.635397i \(-0.219164\pi\)
−0.936363 + 0.351034i \(0.885830\pi\)
\(374\) −10.5625 −0.546176
\(375\) −20.1334 5.18102i −1.03969 0.267547i
\(376\) −4.68665 + 2.70584i −0.241696 + 0.139543i
\(377\) −13.6928 + 8.54089i −0.705215 + 0.439878i
\(378\) 12.1388 + 6.53422i 0.624354 + 0.336084i
\(379\) −33.0310 8.85063i −1.69669 0.454626i −0.724587 0.689184i \(-0.757969\pi\)
−0.972102 + 0.234557i \(0.924636\pi\)
\(380\) 11.0188 + 6.36171i 0.565253 + 0.326349i
\(381\) −4.15522 2.34431i −0.212878 0.120103i
\(382\) −4.30571 16.0691i −0.220299 0.822168i
\(383\) 4.33535 16.1798i 0.221526 0.826747i −0.762240 0.647294i \(-0.775901\pi\)
0.983767 0.179453i \(-0.0574327\pi\)
\(384\) −1.21252 + 1.23685i −0.0618763 + 0.0631175i
\(385\) 5.98696 22.3436i 0.305124 1.13874i
\(386\) 13.2510 + 7.65049i 0.674460 + 0.389400i
\(387\) 27.0197 + 14.8924i 1.37349 + 0.757023i
\(388\) −2.27178 + 8.47838i −0.115332 + 0.430425i
\(389\) −5.63377 9.75798i −0.285644 0.494749i 0.687121 0.726543i \(-0.258874\pi\)
−0.972765 + 0.231793i \(0.925541\pi\)
\(390\) −10.5240 + 6.71043i −0.532904 + 0.339796i
\(391\) 1.47881 2.56138i 0.0747867 0.129534i
\(392\) −0.0274320 0.0274320i −0.00138553 0.00138553i
\(393\) −0.0117534 1.18360i −0.000592882 0.0597046i
\(394\) 20.7375i 1.04474i
\(395\) −0.457443 0.457443i −0.0230164 0.0230164i
\(396\) 12.5717 3.63763i 0.631749 0.182798i
\(397\) 5.64532 1.51266i 0.283331 0.0759182i −0.114355 0.993440i \(-0.536480\pi\)
0.397686 + 0.917522i \(0.369813\pi\)
\(398\) −5.99218 1.60560i −0.300361 0.0804814i
\(399\) −29.2524 + 0.290484i −1.46445 + 0.0145424i
\(400\) 1.00552i 0.0502759i
\(401\) 19.6086 19.6086i 0.979208 0.979208i −0.0205800 0.999788i \(-0.506551\pi\)
0.999788 + 0.0205800i \(0.00655127\pi\)
\(402\) −4.38101 + 0.0435046i −0.218505 + 0.00216981i
\(403\) 29.6196 + 6.86334i 1.47546 + 0.341887i
\(404\) 3.53374i 0.175810i
\(405\) −13.2142 12.2040i −0.656618 0.606424i
\(406\) 5.93746 + 10.2840i 0.294671 + 0.510386i
\(407\) −42.0657 −2.08512
\(408\) 2.93581 2.99470i 0.145344 0.148260i
\(409\) −3.94653 1.05747i −0.195144 0.0522885i 0.159923 0.987129i \(-0.448875\pi\)
−0.355067 + 0.934841i \(0.615542\pi\)
\(410\) 13.2522 + 3.55092i 0.654481 + 0.175368i
\(411\) 37.7837 + 9.72303i 1.86373 + 0.479602i
\(412\) −14.0198 −0.690707
\(413\) −5.32970 9.23132i −0.262258 0.454243i
\(414\) −0.877986 + 3.55786i −0.0431507 + 0.174859i
\(415\) 7.86207i 0.385934i
\(416\) 2.63495 + 2.46110i 0.129189 + 0.120665i
\(417\) −16.6379 + 29.4901i −0.814762 + 1.44414i
\(418\) −19.6376 + 19.6376i −0.960508 + 0.960508i
\(419\) 18.4321i 0.900466i 0.892911 + 0.450233i \(0.148659\pi\)
−0.892911 + 0.450233i \(0.851341\pi\)
\(420\) 4.67084 + 7.90774i 0.227914 + 0.385858i
\(421\) 31.1461 + 8.34557i 1.51797 + 0.406738i 0.919072 0.394090i \(-0.128940\pi\)
0.598895 + 0.800828i \(0.295607\pi\)
\(422\) 8.16303 2.18728i 0.397370 0.106475i
\(423\) −11.2497 + 11.7056i −0.546978 + 0.569147i
\(424\) 0.100703 + 0.100703i 0.00489059 + 0.00489059i
\(425\) 2.43460i 0.118095i
\(426\) −11.1177 6.27242i −0.538652 0.303900i
\(427\) −18.8628 18.8628i −0.912833 0.912833i
\(428\) 4.95244 8.57787i 0.239385 0.414627i
\(429\) −8.20262 25.9793i −0.396026 1.25429i
\(430\) 10.2769 + 17.8002i 0.495597 + 0.858400i
\(431\) 3.39947 12.6870i 0.163747 0.611112i −0.834450 0.551084i \(-0.814214\pi\)
0.998197 0.0600279i \(-0.0191190\pi\)
\(432\) −2.46289 + 4.57539i −0.118496 + 0.220133i
\(433\) 4.72346 + 2.72709i 0.226995 + 0.131056i 0.609185 0.793028i \(-0.291497\pi\)
−0.382190 + 0.924084i \(0.624830\pi\)
\(434\) 5.79041 21.6101i 0.277949 1.03732i
\(435\) −4.15864 14.9258i −0.199392 0.715638i
\(436\) 2.03017 7.57670i 0.0972275 0.362858i
\(437\) −2.01268 7.51142i −0.0962795 0.359320i
\(438\) 0.101135 + 10.1845i 0.00483239 + 0.486633i
\(439\) 2.61857 + 1.51183i 0.124978 + 0.0721559i 0.561186 0.827690i \(-0.310345\pi\)
−0.436208 + 0.899846i \(0.643679\pi\)
\(440\) 8.42179 + 2.25661i 0.401493 + 0.107580i
\(441\) −0.101927 0.0561791i −0.00485369 0.00267519i
\(442\) −6.37986 5.95893i −0.303459 0.283437i
\(443\) −3.45678 + 1.99577i −0.164237 + 0.0948221i −0.579865 0.814712i \(-0.696895\pi\)
0.415629 + 0.909534i \(0.363562\pi\)
\(444\) 11.6920 11.9265i 0.554876 0.566006i
\(445\) 29.5872 1.40257
\(446\) −5.50183 9.52946i −0.260519 0.451233i
\(447\) −8.19934 + 2.28451i −0.387816 + 0.108054i
\(448\) 1.87601 1.87601i 0.0886329 0.0886329i
\(449\) 3.46480 + 12.9308i 0.163514 + 0.610242i 0.998225 + 0.0595540i \(0.0189679\pi\)
−0.834711 + 0.550688i \(0.814365\pi\)
\(450\) 0.838450 + 2.89769i 0.0395249 + 0.136598i
\(451\) −14.9732 + 25.9344i −0.705061 + 1.22120i
\(452\) −6.73569 + 11.6666i −0.316820 + 0.548749i
\(453\) 6.68539 1.86269i 0.314107 0.0875167i
\(454\) −6.85828 3.95963i −0.321875 0.185835i
\(455\) 16.2215 10.1181i 0.760474 0.474346i
\(456\) −0.109490 11.0259i −0.00512733 0.516334i
\(457\) 0.346703 + 1.29391i 0.0162181 + 0.0605267i 0.973561 0.228429i \(-0.0733588\pi\)
−0.957343 + 0.288955i \(0.906692\pi\)
\(458\) 1.26285 0.729107i 0.0590091 0.0340689i
\(459\) 5.96325 11.0781i 0.278341 0.517082i
\(460\) −1.72631 + 1.72631i −0.0804898 + 0.0804898i
\(461\) 3.58563 + 3.58563i 0.166999 + 0.166999i 0.785659 0.618660i \(-0.212324\pi\)
−0.618660 + 0.785659i \(0.712324\pi\)
\(462\) −19.3110 + 5.38046i −0.898431 + 0.250321i
\(463\) 7.47439 2.00276i 0.347364 0.0930760i −0.0809185 0.996721i \(-0.525785\pi\)
0.428283 + 0.903645i \(0.359119\pi\)
\(464\) −3.87626 + 2.23796i −0.179951 + 0.103895i
\(465\) −14.3439 + 25.4242i −0.665185 + 1.17902i
\(466\) 4.24336 1.13701i 0.196570 0.0526708i
\(467\) −10.4397 −0.483093 −0.241546 0.970389i \(-0.577655\pi\)
−0.241546 + 0.970389i \(0.577655\pi\)
\(468\) 9.64556 + 4.89522i 0.445866 + 0.226282i
\(469\) 6.71095 0.309883
\(470\) −10.4474 + 2.79936i −0.481900 + 0.129125i
\(471\) 0.129605 0.00128701i 0.00597190 5.93025e-5i
\(472\) 3.47948 2.00888i 0.160156 0.0924662i
\(473\) −43.3348 + 11.6115i −1.99254 + 0.533899i
\(474\) −0.139719 + 0.542948i −0.00641751 + 0.0249384i
\(475\) −4.52635 4.52635i −0.207683 0.207683i
\(476\) −4.54226 + 4.54226i −0.208194 + 0.208194i
\(477\) 0.374177 + 0.206234i 0.0171324 + 0.00944282i
\(478\) 8.05902 4.65288i 0.368611 0.212818i
\(479\) −1.71493 6.40022i −0.0783573 0.292433i 0.915616 0.402053i \(-0.131703\pi\)
−0.993974 + 0.109620i \(0.965037\pi\)
\(480\) −2.98060 + 1.76054i −0.136045 + 0.0803573i
\(481\) −25.4080 23.7316i −1.15850 1.08207i
\(482\) −1.44385 0.833607i −0.0657655 0.0379697i
\(483\) 1.39891 5.43614i 0.0636524 0.247353i
\(484\) −4.01549 + 6.95503i −0.182522 + 0.316138i
\(485\) −8.77141 + 15.1925i −0.398289 + 0.689857i
\(486\) −3.28234 + 15.2390i −0.148890 + 0.691254i
\(487\) −4.31888 16.1183i −0.195707 0.730390i −0.992083 0.125587i \(-0.959919\pi\)
0.796375 0.604803i \(-0.206748\pi\)
\(488\) 7.10978 7.10978i 0.321845 0.321845i
\(489\) 23.0907 + 22.6367i 1.04420 + 1.02367i
\(490\) −0.0387680 0.0671481i −0.00175136 0.00303344i
\(491\) −15.3717 −0.693715 −0.346858 0.937918i \(-0.612751\pi\)
−0.346858 + 0.937918i \(0.612751\pi\)
\(492\) −3.19120 11.4536i −0.143870 0.516366i
\(493\) 9.38535 5.41864i 0.422695 0.244043i
\(494\) −22.9400 + 0.782586i −1.03212 + 0.0352102i
\(495\) 26.1515 0.519433i 1.17542 0.0233468i
\(496\) 8.14531 + 2.18253i 0.365735 + 0.0979985i
\(497\) 16.9332 + 9.77642i 0.759560 + 0.438532i
\(498\) 5.86650 3.46515i 0.262884 0.155277i
\(499\) 5.78088 + 21.5745i 0.258788 + 0.965808i 0.965944 + 0.258751i \(0.0833109\pi\)
−0.707157 + 0.707057i \(0.750022\pi\)
\(500\) −3.10654 + 11.5938i −0.138929 + 0.518489i
\(501\) −30.5301 7.85643i −1.36398 0.351000i
\(502\) 2.01186 7.50835i 0.0897936 0.335114i
\(503\) 20.4381 + 11.8000i 0.911291 + 0.526134i 0.880846 0.473402i \(-0.156974\pi\)
0.0304450 + 0.999536i \(0.490308\pi\)
\(504\) 3.84194 6.97056i 0.171134 0.310493i
\(505\) −1.82794 + 6.82195i −0.0813421 + 0.303573i
\(506\) −2.66444 4.61494i −0.118449 0.205159i
\(507\) 9.70195 20.3193i 0.430879 0.902410i
\(508\) −1.37724 + 2.38546i −0.0611053 + 0.105838i
\(509\) 3.56579 + 3.56579i 0.158051 + 0.158051i 0.781702 0.623652i \(-0.214352\pi\)
−0.623652 + 0.781702i \(0.714352\pi\)
\(510\) 7.21674 4.26269i 0.319563 0.188755i
\(511\) 15.6009i 0.690142i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −9.50945 31.6829i −0.419852 1.39883i
\(514\) −24.9083 + 6.67416i −1.09866 + 0.294385i
\(515\) −27.0655 7.25219i −1.19265 0.319570i
\(516\) 8.75261 15.5137i 0.385312 0.682953i
\(517\) 23.6082i 1.03829i
\(518\) −18.0897 + 18.0897i −0.794816 + 0.794816i
\(519\) −3.87185 6.55505i −0.169956 0.287735i
\(520\) 3.81374 + 6.11422i 0.167244 + 0.268126i
\(521\) 42.7218i 1.87168i −0.352428 0.935839i \(-0.614644\pi\)
0.352428 0.935839i \(-0.385356\pi\)
\(522\) −9.30442 + 9.68153i −0.407243 + 0.423749i
\(523\) 5.91448 + 10.2442i 0.258622 + 0.447946i 0.965873 0.259016i \(-0.0833983\pi\)
−0.707251 + 0.706962i \(0.750065\pi\)
\(524\) −0.683384 −0.0298538
\(525\) −1.24016 4.45107i −0.0541251 0.194261i
\(526\) 25.8510 + 6.92675i 1.12716 + 0.302021i
\(527\) −19.7218 5.28443i −0.859094 0.230193i
\(528\) −2.02801 7.27874i −0.0882578 0.316767i
\(529\) −21.5079 −0.935124
\(530\) 0.142318 + 0.246502i 0.00618190 + 0.0107074i
\(531\) 8.35202 8.69053i 0.362447 0.377137i
\(532\) 16.8897i 0.732263i
\(533\) −23.6750 + 7.21732i −1.02548 + 0.312617i
\(534\) −13.0404 22.0773i −0.564312 0.955380i
\(535\) 13.9979 13.9979i 0.605184 0.605184i
\(536\) 2.52950i 0.109258i
\(537\) −9.26562 + 16.4230i −0.399841 + 0.708705i
\(538\) −19.7414 5.28970i −0.851113 0.228055i
\(539\) 0.163474 0.0438026i 0.00704130 0.00188671i
\(540\) −7.12142 + 7.55887i −0.306457 + 0.325282i
\(541\) −1.16137 1.16137i −0.0499311 0.0499311i 0.681700 0.731631i \(-0.261241\pi\)
−0.731631 + 0.681700i \(0.761241\pi\)
\(542\) 19.3947i 0.833073i
\(543\) −4.67992 + 2.76428i −0.200835 + 0.118626i
\(544\) −1.71208 1.71208i −0.0734047 0.0734047i
\(545\) 7.83856 13.5768i 0.335767 0.581566i
\(546\) −14.6994 7.64460i −0.629077 0.327159i
\(547\) 0.539713 + 0.934811i 0.0230765 + 0.0399696i 0.877333 0.479882i \(-0.159321\pi\)
−0.854257 + 0.519852i \(0.825987\pi\)
\(548\) 5.82993 21.7576i 0.249042 0.929439i
\(549\) 14.5604 26.4174i 0.621422 1.12747i
\(550\) −3.79884 2.19326i −0.161983 0.0935209i
\(551\) 7.37483 27.5232i 0.314178 1.17253i
\(552\) 2.04900 + 0.527278i 0.0872112 + 0.0224424i
\(553\) 0.222263 0.829496i 0.00945158 0.0352738i
\(554\) 2.76495 + 10.3189i 0.117471 + 0.438409i
\(555\) 28.7409 16.9763i 1.21998 0.720603i
\(556\) 16.9299 + 9.77449i 0.717989 + 0.414531i
\(557\) 22.0126 + 5.89827i 0.932705 + 0.249918i 0.693008 0.720930i \(-0.256285\pi\)
0.239697 + 0.970848i \(0.422952\pi\)
\(558\) 25.2930 0.502381i 1.07074 0.0212675i
\(559\) −32.7253 17.4342i −1.38413 0.737386i
\(560\) 4.59209 2.65124i 0.194051 0.112035i
\(561\) 4.91030 + 17.6236i 0.207313 + 0.744069i
\(562\) 22.7626 0.960183
\(563\) −6.38715 11.0629i −0.269186 0.466245i 0.699466 0.714666i \(-0.253421\pi\)
−0.968652 + 0.248422i \(0.920088\pi\)
\(564\) 6.69341 + 6.56179i 0.281844 + 0.276301i
\(565\) −19.0383 + 19.0383i −0.800946 + 0.800946i
\(566\) 0.131652 + 0.491331i 0.00553374 + 0.0206522i
\(567\) 5.25926 23.2913i 0.220868 0.978141i
\(568\) −3.68494 + 6.38250i −0.154617 + 0.267804i
\(569\) −1.93959 + 3.35946i −0.0813117 + 0.140836i −0.903814 0.427926i \(-0.859244\pi\)
0.822502 + 0.568762i \(0.192578\pi\)
\(570\) 5.49210 21.3423i 0.230039 0.893930i
\(571\) 4.28302 + 2.47280i 0.179239 + 0.103483i 0.586935 0.809634i \(-0.300334\pi\)
−0.407696 + 0.913118i \(0.633668\pi\)
\(572\) −15.0455 + 4.58661i −0.629082 + 0.191776i
\(573\) −24.8097 + 14.6543i −1.03644 + 0.612191i
\(574\) 4.71368 + 17.5917i 0.196745 + 0.734263i
\(575\) 1.06371 0.614136i 0.0443599 0.0256112i
\(576\) 2.62735 + 1.44811i 0.109473 + 0.0603379i
\(577\) −9.91809 + 9.91809i −0.412896 + 0.412896i −0.882746 0.469850i \(-0.844308\pi\)
0.469850 + 0.882746i \(0.344308\pi\)
\(578\) −7.87546 7.87546i −0.327576 0.327576i
\(579\) 6.60471 25.6659i 0.274482 1.06664i
\(580\) −8.64084 + 2.31531i −0.358791 + 0.0961378i
\(581\) −9.03829 + 5.21826i −0.374972 + 0.216490i
\(582\) 15.2023 0.150962i 0.630154 0.00625759i
\(583\) −0.600114 + 0.160800i −0.0248542 + 0.00665966i
\(584\) 5.88030 0.243329
\(585\) 16.0887 + 14.4398i 0.665187 + 0.597011i
\(586\) 21.4693 0.886888
\(587\) 39.5886 10.6077i 1.63400 0.437828i 0.678926 0.734207i \(-0.262446\pi\)
0.955070 + 0.296379i \(0.0957792\pi\)
\(588\) −0.0330178 + 0.0585229i −0.00136163 + 0.00241344i
\(589\) −46.4909 + 26.8416i −1.91563 + 1.10599i
\(590\) 7.75636 2.07831i 0.319324 0.0855627i
\(591\) −34.6005 + 9.64041i −1.42327 + 0.396553i
\(592\) −6.81839 6.81839i −0.280234 0.280234i
\(593\) 5.71700 5.71700i 0.234769 0.234769i −0.579911 0.814680i \(-0.696913\pi\)
0.814680 + 0.579911i \(0.196913\pi\)
\(594\) −11.9137 19.2847i −0.488824 0.791262i
\(595\) −11.1186 + 6.41930i −0.455816 + 0.263166i
\(596\) 1.27189 + 4.74676i 0.0520986 + 0.194435i
\(597\) 0.106694 + 10.7443i 0.00436670 + 0.439737i
\(598\) 0.994206 4.29061i 0.0406561 0.175456i
\(599\) 33.2498 + 19.1968i 1.35855 + 0.784359i 0.989428 0.145022i \(-0.0463254\pi\)
0.369121 + 0.929381i \(0.379659\pi\)
\(600\) 1.67770 0.467443i 0.0684920 0.0190833i
\(601\) −10.4558 + 18.1099i −0.426500 + 0.738719i −0.996559 0.0828841i \(-0.973587\pi\)
0.570059 + 0.821604i \(0.306920\pi\)
\(602\) −13.6421 + 23.6289i −0.556011 + 0.963040i
\(603\) 2.10922 + 7.28949i 0.0858943 + 0.296851i
\(604\) −1.03704 3.87030i −0.0421967 0.157480i
\(605\) −11.3497 + 11.3497i −0.461430 + 0.461430i
\(606\) 5.89604 1.64276i 0.239510 0.0667326i
\(607\) −17.5417 30.3832i −0.711997 1.23322i −0.964106 0.265516i \(-0.914458\pi\)
0.252109 0.967699i \(-0.418876\pi\)
\(608\) −6.36610 −0.258180
\(609\) 14.3986 14.6875i 0.583462 0.595166i
\(610\) 17.4033 10.0478i 0.704640 0.406824i
\(611\) 13.3187 14.2595i 0.538817 0.576878i
\(612\) −6.36145 3.50623i −0.257147 0.141731i
\(613\) 37.3103 + 9.99725i 1.50695 + 0.403785i 0.915420 0.402500i \(-0.131859\pi\)
0.591527 + 0.806285i \(0.298525\pi\)
\(614\) 20.7750 + 11.9944i 0.838409 + 0.484056i
\(615\) −0.235963 23.7621i −0.00951496 0.958179i
\(616\) 2.99555 + 11.1795i 0.120694 + 0.450436i
\(617\) 2.02021 7.53952i 0.0813305 0.303530i −0.913264 0.407369i \(-0.866446\pi\)
0.994594 + 0.103840i \(0.0331129\pi\)
\(618\) 6.51752 + 23.3921i 0.262173 + 0.940967i
\(619\) −7.39770 + 27.6086i −0.297339 + 1.10968i 0.642003 + 0.766702i \(0.278104\pi\)
−0.939342 + 0.342982i \(0.888563\pi\)
\(620\) 14.5957 + 8.42683i 0.586177 + 0.338430i
\(621\) 6.34445 0.189056i 0.254594 0.00758654i
\(622\) 8.55692 31.9348i 0.343101 1.28047i
\(623\) 19.6378 + 34.0137i 0.786773 + 1.36273i
\(624\) 2.88141 5.54053i 0.115349 0.221799i
\(625\) −9.48067 + 16.4210i −0.379227 + 0.656840i
\(626\) −10.3550 10.3550i −0.413870 0.413870i
\(627\) 41.8945 + 23.6363i 1.67310 + 0.943941i
\(628\) 0.0748314i 0.00298610i
\(629\) 16.5090 + 16.5090i 0.658256 + 0.658256i
\(630\) 11.0227 11.4694i 0.439154 0.456953i
\(631\) −2.02779 + 0.543345i −0.0807251 + 0.0216302i −0.298956 0.954267i \(-0.596638\pi\)
0.218230 + 0.975897i \(0.429972\pi\)
\(632\) 0.312655 + 0.0837756i 0.0124367 + 0.00333242i
\(633\) −7.44429 12.6032i −0.295884 0.500932i
\(634\) 1.39648i 0.0554613i
\(635\) −3.89275 + 3.89275i −0.154479 + 0.154479i
\(636\) 0.121209 0.214838i 0.00480624 0.00851890i
\(637\) 0.123451 + 0.0657675i 0.00489129 + 0.00260580i
\(638\) 19.5260i 0.773040i
\(639\) −5.29716 + 21.4657i −0.209553 + 0.849170i
\(640\) 0.999310 + 1.73086i 0.0395012 + 0.0684181i
\(641\) 19.2923 0.762001 0.381001 0.924575i \(-0.375580\pi\)
0.381001 + 0.924575i \(0.375580\pi\)
\(642\) −16.6145 4.27547i −0.655720 0.168739i
\(643\) −16.0158 4.29141i −0.631600 0.169237i −0.0712046 0.997462i \(-0.522684\pi\)
−0.560396 + 0.828225i \(0.689351\pi\)
\(644\) −3.13038 0.838784i −0.123354 0.0330527i
\(645\) 24.9220 25.4219i 0.981303 1.00099i
\(646\) 15.4139 0.606451
\(647\) 19.1754 + 33.2127i 0.753861 + 1.30573i 0.945939 + 0.324346i \(0.105144\pi\)
−0.192077 + 0.981380i \(0.561522\pi\)
\(648\) 8.77897 + 1.98233i 0.344871 + 0.0778732i
\(649\) 17.5273i 0.688006i
\(650\) −1.05719 3.46788i −0.0414662 0.136022i
\(651\) −38.7483 + 0.384780i −1.51866 + 0.0150807i
\(652\) 13.2010 13.2010i 0.516992 0.516992i
\(653\) 14.7649i 0.577793i 0.957360 + 0.288897i \(0.0932884\pi\)
−0.957360 + 0.288897i \(0.906712\pi\)
\(654\) −13.5855 + 0.134907i −0.531235 + 0.00527530i
\(655\) −1.31929 0.353502i −0.0515488 0.0138125i
\(656\) −6.63068 + 1.77669i −0.258885 + 0.0693680i
\(657\) 16.9458 4.90329i 0.661118 0.191296i
\(658\) −10.1523 10.1523i −0.395780 0.395780i
\(659\) 7.99000i 0.311246i −0.987817 0.155623i \(-0.950261\pi\)
0.987817 0.155623i \(-0.0497385\pi\)
\(660\) −0.149955 15.1008i −0.00583698 0.587798i
\(661\) −17.2742 17.2742i −0.671887 0.671887i 0.286264 0.958151i \(-0.407587\pi\)
−0.958151 + 0.286264i \(0.907587\pi\)
\(662\) −8.76189 + 15.1760i −0.340540 + 0.589833i
\(663\) −6.97660 + 13.4150i −0.270949 + 0.520994i
\(664\) −1.96687 3.40673i −0.0763295 0.132207i
\(665\) −8.73674 + 32.6060i −0.338796 + 1.26440i
\(666\) −25.3347 13.9636i −0.981699 0.541080i
\(667\) 4.73497 + 2.73374i 0.183339 + 0.105851i
\(668\) −4.71072 + 17.5806i −0.182263 + 0.680215i
\(669\) −13.3422 + 13.6098i −0.515839 + 0.526187i
\(670\) −1.30846 + 4.88325i −0.0505503 + 0.188656i
\(671\) 11.3527 + 42.3687i 0.438265 + 1.63563i
\(672\) −4.00223 2.25800i −0.154389 0.0871042i
\(673\) −43.1736 24.9263i −1.66422 0.960838i −0.970666 0.240433i \(-0.922710\pi\)
−0.693554 0.720405i \(-0.743956\pi\)
\(674\) −24.8761 6.66553i −0.958192 0.256747i
\(675\) 4.44501 2.74603i 0.171088 0.105695i
\(676\) −11.6751 5.71764i −0.449043 0.219909i
\(677\) 7.87586 4.54713i 0.302694 0.174760i −0.340959 0.940078i \(-0.610752\pi\)
0.643652 + 0.765318i \(0.277418\pi\)
\(678\) 22.5969 + 5.81496i 0.867829 + 0.223322i
\(679\) −23.2873 −0.893683
\(680\) −2.41957 4.19082i −0.0927863 0.160711i
\(681\) −3.41837 + 13.2838i −0.130992 + 0.509035i
\(682\) −26.0123 + 26.0123i −0.996064 + 0.996064i
\(683\) 7.08606 + 26.4455i 0.271141 + 1.01191i 0.958384 + 0.285483i \(0.0921540\pi\)
−0.687243 + 0.726427i \(0.741179\pi\)
\(684\) −18.3458 + 5.30837i −0.701467 + 0.202971i
\(685\) 22.5096 38.9877i 0.860047 1.48965i
\(686\) −9.23429 + 15.9943i −0.352567 + 0.610664i
\(687\) −1.80359 1.76812i −0.0688111 0.0674579i
\(688\) −8.90622 5.14201i −0.339546 0.196037i
\(689\) −0.453190 0.241433i −0.0172651 0.00919788i
\(690\) 3.68288 + 2.07783i 0.140205 + 0.0791015i
\(691\) −0.505728 1.88740i −0.0192388 0.0718002i 0.955639 0.294540i \(-0.0951665\pi\)
−0.974878 + 0.222740i \(0.928500\pi\)
\(692\) −3.80657 + 2.19773i −0.144704 + 0.0835450i
\(693\) 17.9546 + 29.7192i 0.682038 + 1.12894i
\(694\) −15.9053 + 15.9053i −0.603758 + 0.603758i
\(695\) 27.6274 + 27.6274i 1.04797 + 1.04797i
\(696\) 5.53602 + 5.42715i 0.209842 + 0.205716i
\(697\) 16.0545 4.30179i 0.608107 0.162942i
\(698\) −14.4103 + 8.31981i −0.545439 + 0.314909i
\(699\) −3.86974 6.55148i −0.146367 0.247800i
\(700\) −2.57681 + 0.690454i −0.0973943 + 0.0260967i
\(701\) −8.14720 −0.307715 −0.153858 0.988093i \(-0.549170\pi\)
−0.153858 + 0.988093i \(0.549170\pi\)
\(702\) 3.68365 18.3693i 0.139031 0.693304i
\(703\) 61.3862 2.31522
\(704\) −4.21380 + 1.12909i −0.158814 + 0.0425540i
\(705\) 9.52748 + 16.1300i 0.358825 + 0.607492i
\(706\) −29.1193 + 16.8120i −1.09592 + 0.632729i
\(707\) −9.05582 + 2.42650i −0.340579 + 0.0912579i
\(708\) −4.96935 4.87163i −0.186760 0.183087i
\(709\) 29.2396 + 29.2396i 1.09811 + 1.09811i 0.994631 + 0.103484i \(0.0329989\pi\)
0.103484 + 0.994631i \(0.467001\pi\)
\(710\) −10.4154 + 10.4154i −0.390883 + 0.390883i
\(711\) 0.970861 0.0192837i 0.0364101 0.000723195i
\(712\) −12.8205 + 7.40192i −0.480468 + 0.277399i
\(713\) −2.66603 9.94975i −0.0998436 0.372621i
\(714\) 9.69036 + 5.46716i 0.362653 + 0.204603i
\(715\) −31.4181 + 1.07181i −1.17497 + 0.0400836i
\(716\) 9.42824 + 5.44340i 0.352350 + 0.203429i
\(717\) −11.5098 11.2834i −0.429841 0.421388i
\(718\) 13.2236 22.9039i 0.493500 0.854768i
\(719\) 24.0105 41.5874i 0.895441 1.55095i 0.0621837 0.998065i \(-0.480194\pi\)
0.833258 0.552885i \(-0.186473\pi\)
\(720\) 4.32307 + 4.15468i 0.161111 + 0.154836i
\(721\) −9.62694 35.9282i −0.358526 1.33804i
\(722\) 15.2221 15.2221i 0.566507 0.566507i
\(723\) −0.719657 + 2.79659i −0.0267643 + 0.104006i
\(724\) 1.56905 + 2.71767i 0.0583132 + 0.101001i
\(725\) 4.50061 0.167148
\(726\) 13.4712 + 3.46659i 0.499962 + 0.128657i
\(727\) −6.36454 + 3.67457i −0.236048 + 0.136282i −0.613359 0.789804i \(-0.710182\pi\)
0.377311 + 0.926087i \(0.376849\pi\)
\(728\) −4.49767 + 8.44247i −0.166695 + 0.312899i
\(729\) 26.9521 1.60770i 0.998226 0.0595443i
\(730\) 11.3520 + 3.04177i 0.420158 + 0.112581i
\(731\) 21.5641 + 12.4500i 0.797578 + 0.460482i
\(732\) −15.1678 8.55748i −0.560620 0.316293i
\(733\) 2.01932 + 7.53620i 0.0745852 + 0.278356i 0.993139 0.116940i \(-0.0373086\pi\)
−0.918554 + 0.395296i \(0.870642\pi\)
\(734\) 9.06799 33.8422i 0.334705 1.24914i
\(735\) −0.0940142 + 0.0959001i −0.00346777 + 0.00353733i
\(736\) 0.316156 1.17991i 0.0116537 0.0434920i
\(737\) −9.55644 5.51741i −0.352016 0.203237i
\(738\) −17.6267 + 10.6490i −0.648849 + 0.391996i
\(739\) −6.40212 + 23.8930i −0.235506 + 0.878920i 0.742414 + 0.669941i \(0.233681\pi\)
−0.977920 + 0.208979i \(0.932986\pi\)
\(740\) −9.63601 16.6901i −0.354227 0.613539i
\(741\) 11.9700 + 37.9115i 0.439730 + 1.39271i
\(742\) −0.188920 + 0.327220i −0.00693548 + 0.0120126i
\(743\) 13.9570 + 13.9570i 0.512032 + 0.512032i 0.915149 0.403117i \(-0.132073\pi\)
−0.403117 + 0.915149i \(0.632073\pi\)
\(744\) −0.145032 14.6051i −0.00531713 0.535447i
\(745\) 9.82163i 0.359837i
\(746\) 4.48418 + 4.48418i 0.164177 + 0.164177i
\(747\) −8.50881 8.17738i −0.311321 0.299195i
\(748\) 10.2026 2.73379i 0.373045 0.0999572i
\(749\) 25.3829 + 6.80134i 0.927473 + 0.248516i
\(750\) 20.7883 0.206434i 0.759083 0.00753789i
\(751\) 10.7772i 0.393266i −0.980477 0.196633i \(-0.936999\pi\)
0.980477 0.196633i \(-0.0630008\pi\)
\(752\) 3.82664 3.82664i 0.139543 0.139543i
\(753\) −13.4629 + 0.133691i −0.490617 + 0.00487195i
\(754\) 11.0157 11.7938i 0.401168 0.429506i
\(755\) 8.00813i 0.291446i
\(756\) −13.4164 3.16981i −0.487950 0.115285i
\(757\) −25.3500 43.9076i −0.921363 1.59585i −0.797308 0.603572i \(-0.793744\pi\)
−0.124055 0.992275i \(-0.539590\pi\)
\(758\) 34.1962 1.24206
\(759\) −6.46138 + 6.59099i −0.234533 + 0.239238i
\(760\) −12.2899 3.29306i −0.445801 0.119452i
\(761\) −0.685121 0.183578i −0.0248356 0.00665468i 0.246380 0.969173i \(-0.420759\pi\)
−0.271215 + 0.962519i \(0.587426\pi\)
\(762\) 4.62038 + 1.18898i 0.167379 + 0.0430723i
\(763\) 20.8106 0.753396
\(764\) 8.31799 + 14.4072i 0.300934 + 0.521234i
\(765\) −10.4672 10.0595i −0.378443 0.363702i
\(766\) 16.7505i 0.605221i
\(767\) −9.88812 + 10.5866i −0.357039 + 0.382260i
\(768\) 0.851088 1.50853i 0.0307110 0.0544342i
\(769\) −13.1862 + 13.1862i