Properties

Label 176.2.w.a.5.12
Level $176$
Weight $2$
Character 176.5
Analytic conductor $1.405$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [176,2,Mod(5,176)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(176, base_ring=CyclotomicField(20))
 
chi = DirichletCharacter(H, H._module([0, 5, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("176.5");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 176 = 2^{4} \cdot 11 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 176.w (of order \(20\), degree \(8\), 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: \(1.40536707557\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 5.12
Character \(\chi\) \(=\) 176.5
Dual form 176.2.w.a.141.12

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0503613 + 1.41332i) q^{2} +(2.39469 - 0.379282i) q^{3} +(-1.99493 + 0.142353i) q^{4} +(2.15797 - 1.09954i) q^{5} +(0.656645 + 3.36536i) q^{6} +(-0.678287 - 0.933582i) q^{7} +(-0.301657 - 2.81230i) q^{8} +(2.73753 - 0.889476i) q^{9} +O(q^{10})\) \(q+(0.0503613 + 1.41332i) q^{2} +(2.39469 - 0.379282i) q^{3} +(-1.99493 + 0.142353i) q^{4} +(2.15797 - 1.09954i) q^{5} +(0.656645 + 3.36536i) q^{6} +(-0.678287 - 0.933582i) q^{7} +(-0.301657 - 2.81230i) q^{8} +(2.73753 - 0.889476i) q^{9} +(1.66268 + 2.99452i) q^{10} +(-1.46508 + 2.97549i) q^{11} +(-4.72325 + 1.09753i) q^{12} +(-3.47008 - 1.76810i) q^{13} +(1.28529 - 1.00565i) q^{14} +(4.75064 - 3.45154i) q^{15} +(3.95947 - 0.567967i) q^{16} +(-1.30805 + 4.02577i) q^{17} +(1.39498 + 3.82420i) q^{18} +(-4.01274 + 0.635556i) q^{19} +(-4.14847 + 2.50070i) q^{20} +(-1.97838 - 1.97838i) q^{21} +(-4.27909 - 1.92077i) q^{22} +0.865352i q^{23} +(-1.78903 - 6.62017i) q^{24} +(0.508925 - 0.700475i) q^{25} +(2.32412 - 4.99337i) q^{26} +(-0.262677 + 0.133841i) q^{27} +(1.48603 + 1.76587i) q^{28} +(0.870711 - 5.49745i) q^{29} +(5.11737 + 6.54034i) q^{30} +(1.62945 + 5.01492i) q^{31} +(1.00212 + 5.56738i) q^{32} +(-2.37986 + 7.68106i) q^{33} +(-5.75556 - 1.64595i) q^{34} +(-2.49024 - 1.26884i) q^{35} +(-5.33455 + 2.16414i) q^{36} +(6.20306 + 0.982468i) q^{37} +(-1.10033 - 5.63927i) q^{38} +(-8.98039 - 2.91791i) q^{39} +(-3.74320 - 5.73717i) q^{40} +(6.84837 - 9.42597i) q^{41} +(2.69644 - 2.89571i) q^{42} +(3.93367 + 3.93367i) q^{43} +(2.49916 - 6.14445i) q^{44} +(4.92949 - 4.92949i) q^{45} +(-1.22302 + 0.0435802i) q^{46} +(-10.0195 - 7.27957i) q^{47} +(9.26630 - 2.86186i) q^{48} +(1.75162 - 5.39092i) q^{49} +(1.01562 + 0.683995i) q^{50} +(-1.60548 + 10.1366i) q^{51} +(7.17426 + 3.03325i) q^{52} +(4.98862 - 9.79071i) q^{53} +(-0.202388 - 0.364506i) q^{54} +(0.110077 + 8.03194i) q^{55} +(-2.42090 + 2.18916i) q^{56} +(-9.36823 + 3.04392i) q^{57} +(7.81349 + 0.953731i) q^{58} +(6.57572 + 1.04149i) q^{59} +(-8.98585 + 7.56185i) q^{60} +(0.669200 + 1.31338i) q^{61} +(-7.00561 + 2.55548i) q^{62} +(-2.68723 - 1.95239i) q^{63} +(-7.81801 + 1.69670i) q^{64} -9.43244 q^{65} +(-10.9756 - 2.97667i) q^{66} +(1.05883 - 1.05883i) q^{67} +(2.03639 - 8.21733i) q^{68} +(0.328212 + 2.07225i) q^{69} +(1.66786 - 3.58339i) q^{70} +(-8.98007 - 2.91780i) q^{71} +(-3.32726 - 7.43042i) q^{72} +(3.65579 + 5.03177i) q^{73} +(-1.07614 + 8.81637i) q^{74} +(0.953041 - 1.87045i) q^{75} +(7.91466 - 1.83911i) q^{76} +(3.77161 - 0.650465i) q^{77} +(3.67166 - 12.8391i) q^{78} +(2.28917 + 7.04534i) q^{79} +(7.91992 - 5.57926i) q^{80} +(-7.56431 + 5.49579i) q^{81} +(13.6668 + 9.20421i) q^{82} +(5.03026 + 9.87245i) q^{83} +(4.22835 + 3.66510i) q^{84} +(1.60376 + 10.1258i) q^{85} +(-5.36142 + 5.75762i) q^{86} -13.4950i q^{87} +(8.80991 + 3.22266i) q^{88} +13.5400i q^{89} +(7.21518 + 6.71867i) q^{90} +(0.703050 + 4.43888i) q^{91} +(-0.123185 - 1.72631i) q^{92} +(5.80409 + 11.3912i) q^{93} +(9.78374 - 14.5273i) q^{94} +(-7.96057 + 5.78369i) q^{95} +(4.51138 + 12.9521i) q^{96} +(-0.881652 - 2.71345i) q^{97} +(7.70729 + 2.20410i) q^{98} +(-1.36406 + 9.44864i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 6 q^{2} - 6 q^{3} - 10 q^{4} - 6 q^{5} - 6 q^{6} - 6 q^{8} - 16 q^{10} - 12 q^{11} - 6 q^{13} - 12 q^{15} + 14 q^{16} - 12 q^{17} - 44 q^{18} - 6 q^{19} + 2 q^{20} - 28 q^{21} + 50 q^{22} - 38 q^{24} - 68 q^{26} - 18 q^{27} - 46 q^{28} - 22 q^{29} + 26 q^{30} - 12 q^{31} - 16 q^{32} - 16 q^{33} + 12 q^{34} - 26 q^{35} - 22 q^{36} + 18 q^{37} - 34 q^{38} + 14 q^{40} - 10 q^{42} - 40 q^{43} + 2 q^{44} - 24 q^{45} + 38 q^{46} - 12 q^{47} - 26 q^{48} + 8 q^{49} - 62 q^{50} + 6 q^{51} + 74 q^{52} - 30 q^{53} - 52 q^{54} - 96 q^{56} - 26 q^{58} + 10 q^{59} + 118 q^{60} - 6 q^{61} - 42 q^{62} - 28 q^{63} - 106 q^{64} - 32 q^{65} + 6 q^{66} + 24 q^{67} + 116 q^{68} + 12 q^{69} + 52 q^{70} - 98 q^{72} + 96 q^{74} - 46 q^{75} + 112 q^{76} - 14 q^{77} + 44 q^{78} - 52 q^{79} - 28 q^{80} + 66 q^{82} + 54 q^{83} + 120 q^{84} + 14 q^{85} + 86 q^{86} + 142 q^{88} + 228 q^{90} - 122 q^{91} + 146 q^{92} + 6 q^{93} + 56 q^{94} + 52 q^{95} + 86 q^{96} - 12 q^{97} + 140 q^{98} + 92 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/176\mathbb{Z}\right)^\times\).

\(n\) \(111\) \(133\) \(145\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{2}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0503613 + 1.41332i 0.0356108 + 0.999366i
\(3\) 2.39469 0.379282i 1.38258 0.218979i 0.579557 0.814932i \(-0.303226\pi\)
0.803019 + 0.595953i \(0.203226\pi\)
\(4\) −1.99493 + 0.142353i −0.997464 + 0.0711764i
\(5\) 2.15797 1.09954i 0.965074 0.491730i 0.100886 0.994898i \(-0.467832\pi\)
0.864189 + 0.503168i \(0.167832\pi\)
\(6\) 0.656645 + 3.36536i 0.268074 + 1.37390i
\(7\) −0.678287 0.933582i −0.256368 0.352861i 0.661360 0.750068i \(-0.269979\pi\)
−0.917729 + 0.397207i \(0.869979\pi\)
\(8\) −0.301657 2.81230i −0.106652 0.994296i
\(9\) 2.73753 0.889476i 0.912509 0.296492i
\(10\) 1.66268 + 2.99452i 0.525785 + 0.946951i
\(11\) −1.46508 + 2.97549i −0.441738 + 0.897144i
\(12\) −4.72325 + 1.09753i −1.36348 + 0.316830i
\(13\) −3.47008 1.76810i −0.962428 0.490382i −0.0991291 0.995075i \(-0.531606\pi\)
−0.863299 + 0.504693i \(0.831606\pi\)
\(14\) 1.28529 1.00565i 0.343508 0.268771i
\(15\) 4.75064 3.45154i 1.22661 0.891185i
\(16\) 3.95947 0.567967i 0.989868 0.141992i
\(17\) −1.30805 + 4.02577i −0.317249 + 0.976393i 0.657569 + 0.753394i \(0.271585\pi\)
−0.974819 + 0.222999i \(0.928415\pi\)
\(18\) 1.39498 + 3.82420i 0.328799 + 0.901372i
\(19\) −4.01274 + 0.635556i −0.920586 + 0.145807i −0.598702 0.800972i \(-0.704316\pi\)
−0.321885 + 0.946779i \(0.604316\pi\)
\(20\) −4.14847 + 2.50070i −0.927627 + 0.559173i
\(21\) −1.97838 1.97838i −0.431718 0.431718i
\(22\) −4.27909 1.92077i −0.912306 0.409510i
\(23\) 0.865352i 0.180438i 0.995922 + 0.0902192i \(0.0287568\pi\)
−0.995922 + 0.0902192i \(0.971243\pi\)
\(24\) −1.78903 6.62017i −0.365184 1.35134i
\(25\) 0.508925 0.700475i 0.101785 0.140095i
\(26\) 2.32412 4.99337i 0.455798 0.979280i
\(27\) −0.262677 + 0.133841i −0.0505523 + 0.0257577i
\(28\) 1.48603 + 1.76587i 0.280834 + 0.333719i
\(29\) 0.870711 5.49745i 0.161687 1.02085i −0.764730 0.644351i \(-0.777128\pi\)
0.926417 0.376500i \(-0.122872\pi\)
\(30\) 5.11737 + 6.54034i 0.934300 + 1.19410i
\(31\) 1.62945 + 5.01492i 0.292657 + 0.900706i 0.983998 + 0.178178i \(0.0570202\pi\)
−0.691341 + 0.722528i \(0.742980\pi\)
\(32\) 1.00212 + 5.56738i 0.177152 + 0.984184i
\(33\) −2.37986 + 7.68106i −0.414281 + 1.33710i
\(34\) −5.75556 1.64595i −0.987071 0.282278i
\(35\) −2.49024 1.26884i −0.420927 0.214473i
\(36\) −5.33455 + 2.16414i −0.889091 + 0.360689i
\(37\) 6.20306 + 0.982468i 1.01978 + 0.161517i 0.643865 0.765139i \(-0.277330\pi\)
0.375912 + 0.926656i \(0.377330\pi\)
\(38\) −1.10033 5.63927i −0.178497 0.914810i
\(39\) −8.98039 2.91791i −1.43801 0.467239i
\(40\) −3.74320 5.73717i −0.591852 0.907126i
\(41\) 6.84837 9.42597i 1.06954 1.47209i 0.198990 0.980001i \(-0.436234\pi\)
0.870545 0.492088i \(-0.163766\pi\)
\(42\) 2.69644 2.89571i 0.416070 0.446818i
\(43\) 3.93367 + 3.93367i 0.599879 + 0.599879i 0.940280 0.340401i \(-0.110563\pi\)
−0.340401 + 0.940280i \(0.610563\pi\)
\(44\) 2.49916 6.14445i 0.376762 0.926310i
\(45\) 4.92949 4.92949i 0.734845 0.734845i
\(46\) −1.22302 + 0.0435802i −0.180324 + 0.00642556i
\(47\) −10.0195 7.27957i −1.46149 1.06183i −0.982972 0.183756i \(-0.941174\pi\)
−0.478518 0.878078i \(-0.658826\pi\)
\(48\) 9.26630 2.86186i 1.33747 0.413074i
\(49\) 1.75162 5.39092i 0.250231 0.770132i
\(50\) 1.01562 + 0.683995i 0.143631 + 0.0967315i
\(51\) −1.60548 + 10.1366i −0.224812 + 1.41941i
\(52\) 7.17426 + 3.03325i 0.994891 + 0.420636i
\(53\) 4.98862 9.79071i 0.685239 1.34486i −0.241959 0.970286i \(-0.577790\pi\)
0.927198 0.374571i \(-0.122210\pi\)
\(54\) −0.202388 0.364506i −0.0275415 0.0496029i
\(55\) 0.110077 + 8.03194i 0.0148427 + 1.08303i
\(56\) −2.42090 + 2.18916i −0.323506 + 0.292539i
\(57\) −9.36823 + 3.04392i −1.24085 + 0.403177i
\(58\) 7.81349 + 0.953731i 1.02596 + 0.125231i
\(59\) 6.57572 + 1.04149i 0.856086 + 0.135591i 0.569024 0.822321i \(-0.307321\pi\)
0.287062 + 0.957912i \(0.407321\pi\)
\(60\) −8.98585 + 7.56185i −1.16007 + 0.976230i
\(61\) 0.669200 + 1.31338i 0.0856822 + 0.168161i 0.929872 0.367884i \(-0.119918\pi\)
−0.844189 + 0.536045i \(0.819918\pi\)
\(62\) −7.00561 + 2.55548i −0.889713 + 0.324546i
\(63\) −2.68723 1.95239i −0.338559 0.245977i
\(64\) −7.81801 + 1.69670i −0.977251 + 0.212087i
\(65\) −9.43244 −1.16995
\(66\) −10.9756 2.97667i −1.35101 0.366403i
\(67\) 1.05883 1.05883i 0.129356 0.129356i −0.639464 0.768821i \(-0.720844\pi\)
0.768821 + 0.639464i \(0.220844\pi\)
\(68\) 2.03639 8.21733i 0.246948 0.996497i
\(69\) 0.328212 + 2.07225i 0.0395121 + 0.249470i
\(70\) 1.66786 3.58339i 0.199347 0.428297i
\(71\) −8.98007 2.91780i −1.06574 0.346279i −0.276912 0.960895i \(-0.589311\pi\)
−0.788827 + 0.614616i \(0.789311\pi\)
\(72\) −3.32726 7.43042i −0.392122 0.875683i
\(73\) 3.65579 + 5.03177i 0.427878 + 0.588924i 0.967465 0.253006i \(-0.0814194\pi\)
−0.539586 + 0.841930i \(0.681419\pi\)
\(74\) −1.07614 + 8.81637i −0.125099 + 1.02488i
\(75\) 0.953041 1.87045i 0.110048 0.215981i
\(76\) 7.91466 1.83911i 0.907874 0.210961i
\(77\) 3.77161 0.650465i 0.429815 0.0741274i
\(78\) 3.67166 12.8391i 0.415734 1.45374i
\(79\) 2.28917 + 7.04534i 0.257552 + 0.792663i 0.993316 + 0.115425i \(0.0368231\pi\)
−0.735764 + 0.677238i \(0.763177\pi\)
\(80\) 7.91992 5.57926i 0.885474 0.623780i
\(81\) −7.56431 + 5.49579i −0.840478 + 0.610643i
\(82\) 13.6668 + 9.20421i 1.50924 + 1.01643i
\(83\) 5.03026 + 9.87245i 0.552143 + 1.08364i 0.983406 + 0.181416i \(0.0580680\pi\)
−0.431263 + 0.902226i \(0.641932\pi\)
\(84\) 4.22835 + 3.66510i 0.461351 + 0.399895i
\(85\) 1.60376 + 10.1258i 0.173952 + 1.09829i
\(86\) −5.36142 + 5.75762i −0.578136 + 0.620861i
\(87\) 13.4950i 1.44681i
\(88\) 8.80991 + 3.22266i 0.939139 + 0.343536i
\(89\) 13.5400i 1.43523i 0.696438 + 0.717617i \(0.254767\pi\)
−0.696438 + 0.717617i \(0.745233\pi\)
\(90\) 7.21518 + 6.71867i 0.760547 + 0.708210i
\(91\) 0.703050 + 4.43888i 0.0736997 + 0.465322i
\(92\) −0.123185 1.72631i −0.0128430 0.179981i
\(93\) 5.80409 + 11.3912i 0.601856 + 1.18121i
\(94\) 9.78374 14.5273i 1.00912 1.49838i
\(95\) −7.96057 + 5.78369i −0.816737 + 0.593394i
\(96\) 4.51138 + 12.9521i 0.460441 + 1.32192i
\(97\) −0.881652 2.71345i −0.0895182 0.275509i 0.896268 0.443513i \(-0.146268\pi\)
−0.985786 + 0.168004i \(0.946268\pi\)
\(98\) 7.70729 + 2.20410i 0.778554 + 0.222647i
\(99\) −1.36406 + 9.44864i −0.137094 + 0.949624i
\(100\) −0.915553 + 1.46984i −0.0915553 + 0.146984i
\(101\) 1.78571 3.50465i 0.177685 0.348726i −0.784937 0.619576i \(-0.787305\pi\)
0.962622 + 0.270850i \(0.0873047\pi\)
\(102\) −14.4071 1.75856i −1.42651 0.174123i
\(103\) −1.96031 2.69814i −0.193155 0.265856i 0.701444 0.712725i \(-0.252539\pi\)
−0.894599 + 0.446869i \(0.852539\pi\)
\(104\) −3.92563 + 10.2923i −0.384940 + 1.00924i
\(105\) −6.44460 2.09398i −0.628928 0.204351i
\(106\) 14.0886 + 6.55742i 1.36841 + 0.636913i
\(107\) −2.28193 14.4076i −0.220603 1.39283i −0.810682 0.585486i \(-0.800904\pi\)
0.590079 0.807345i \(-0.299096\pi\)
\(108\) 0.504969 0.304395i 0.0485907 0.0292905i
\(109\) −3.76675 + 3.76675i −0.360789 + 0.360789i −0.864103 0.503314i \(-0.832114\pi\)
0.503314 + 0.864103i \(0.332114\pi\)
\(110\) −11.3461 + 0.560072i −1.08181 + 0.0534008i
\(111\) 15.2271 1.44529
\(112\) −3.21590 3.31125i −0.303874 0.312883i
\(113\) 1.27169 + 0.923935i 0.119630 + 0.0869165i 0.645992 0.763345i \(-0.276444\pi\)
−0.526361 + 0.850261i \(0.676444\pi\)
\(114\) −4.77382 13.0870i −0.447109 1.22571i
\(115\) 0.951491 + 1.86741i 0.0887269 + 0.174136i
\(116\) −0.954427 + 11.0910i −0.0886163 + 1.02977i
\(117\) −11.0721 1.75365i −1.02362 0.162125i
\(118\) −1.14080 + 9.34603i −0.105019 + 0.860371i
\(119\) 4.64562 1.50945i 0.425863 0.138371i
\(120\) −11.1398 12.3190i −1.01692 1.12457i
\(121\) −6.70709 8.71866i −0.609735 0.792605i
\(122\) −1.82252 + 1.01193i −0.165003 + 0.0916162i
\(123\) 12.8246 25.1698i 1.15636 2.26948i
\(124\) −3.96451 9.77244i −0.356024 0.877591i
\(125\) −1.56634 + 9.88946i −0.140097 + 0.884540i
\(126\) 2.62401 3.89623i 0.233765 0.347104i
\(127\) −6.38200 + 19.6418i −0.566311 + 1.74293i 0.0977129 + 0.995215i \(0.468847\pi\)
−0.664024 + 0.747711i \(0.731153\pi\)
\(128\) −2.79169 10.9639i −0.246753 0.969078i
\(129\) 10.9119 + 7.92796i 0.960739 + 0.698018i
\(130\) −0.475030 13.3310i −0.0416629 1.16921i
\(131\) 13.7647 13.7647i 1.20262 1.20262i 0.229258 0.973366i \(-0.426370\pi\)
0.973366 0.229258i \(-0.0736299\pi\)
\(132\) 3.65423 15.6619i 0.318060 1.36320i
\(133\) 3.31514 + 3.31514i 0.287459 + 0.287459i
\(134\) 1.54978 + 1.44314i 0.133881 + 0.124668i
\(135\) −0.419687 + 0.577649i −0.0361209 + 0.0497161i
\(136\) 11.7162 + 2.46423i 1.00466 + 0.211306i
\(137\) −15.5190 5.04243i −1.32588 0.430804i −0.441369 0.897326i \(-0.645507\pi\)
−0.884510 + 0.466521i \(0.845507\pi\)
\(138\) −2.91222 + 0.568229i −0.247905 + 0.0483709i
\(139\) −2.18715 0.346411i −0.185512 0.0293822i 0.0629872 0.998014i \(-0.479937\pi\)
−0.248499 + 0.968632i \(0.579937\pi\)
\(140\) 5.14846 + 2.17675i 0.435125 + 0.183969i
\(141\) −26.7546 13.6321i −2.25314 1.14803i
\(142\) 3.67153 12.8386i 0.308108 1.07739i
\(143\) 10.3449 7.73480i 0.865084 0.646817i
\(144\) 10.3340 5.07668i 0.861164 0.423057i
\(145\) −4.16571 12.8207i −0.345943 1.06470i
\(146\) −6.92737 + 5.42020i −0.573313 + 0.448579i
\(147\) 2.14990 13.5740i 0.177321 1.11956i
\(148\) −12.5145 1.07693i −1.02869 0.0885231i
\(149\) −6.78739 + 3.45835i −0.556045 + 0.283319i −0.709346 0.704860i \(-0.751010\pi\)
0.153301 + 0.988180i \(0.451010\pi\)
\(150\) 2.69153 + 1.25275i 0.219763 + 0.102287i
\(151\) −0.387203 + 0.532939i −0.0315101 + 0.0433699i −0.824481 0.565889i \(-0.808533\pi\)
0.792971 + 0.609259i \(0.208533\pi\)
\(152\) 2.99784 + 11.0933i 0.243157 + 0.899785i
\(153\) 12.1841i 0.985029i
\(154\) 1.10926 + 5.29772i 0.0893864 + 0.426902i
\(155\) 9.03041 + 9.03041i 0.725340 + 0.725340i
\(156\) 18.3306 + 4.54263i 1.46762 + 0.363701i
\(157\) −2.19374 + 0.347454i −0.175080 + 0.0277299i −0.243359 0.969936i \(-0.578249\pi\)
0.0682791 + 0.997666i \(0.478249\pi\)
\(158\) −9.84201 + 3.59014i −0.782989 + 0.285616i
\(159\) 8.23276 25.3378i 0.652900 2.00942i
\(160\) 8.28412 + 10.9124i 0.654917 + 0.862699i
\(161\) 0.807877 0.586957i 0.0636696 0.0462587i
\(162\) −8.14824 10.4140i −0.640186 0.818200i
\(163\) −4.17367 2.12659i −0.326907 0.166567i 0.282833 0.959169i \(-0.408726\pi\)
−0.609739 + 0.792602i \(0.708726\pi\)
\(164\) −12.3202 + 19.7790i −0.962045 + 1.54448i
\(165\) 3.30997 + 19.1923i 0.257681 + 1.49412i
\(166\) −13.6996 + 7.60654i −1.06329 + 0.590382i
\(167\) 6.89904 2.24163i 0.533864 0.173463i −0.0296642 0.999560i \(-0.509444\pi\)
0.563528 + 0.826097i \(0.309444\pi\)
\(168\) −4.96700 + 6.16058i −0.383212 + 0.475299i
\(169\) 1.27411 + 1.75366i 0.0980084 + 0.134897i
\(170\) −14.2301 + 2.77657i −1.09140 + 0.212953i
\(171\) −10.4197 + 5.30909i −0.796813 + 0.405996i
\(172\) −8.40735 7.28742i −0.641055 0.555660i
\(173\) 3.84851 0.609545i 0.292597 0.0463428i −0.00841032 0.999965i \(-0.502677\pi\)
0.301007 + 0.953622i \(0.402677\pi\)
\(174\) 19.0726 0.679623i 1.44589 0.0515221i
\(175\) −0.999148 −0.0755285
\(176\) −4.11096 + 12.6135i −0.309875 + 0.950777i
\(177\) 16.1418 1.21330
\(178\) −19.1363 + 0.681890i −1.43432 + 0.0511098i
\(179\) 11.1214 1.76146i 0.831254 0.131658i 0.273717 0.961810i \(-0.411747\pi\)
0.557536 + 0.830152i \(0.311747\pi\)
\(180\) −9.13225 + 10.5357i −0.680678 + 0.785285i
\(181\) 21.9148 11.1661i 1.62891 0.829972i 0.630353 0.776309i \(-0.282910\pi\)
0.998559 0.0536633i \(-0.0170898\pi\)
\(182\) −6.23814 + 1.21718i −0.462402 + 0.0902234i
\(183\) 2.10067 + 2.89132i 0.155286 + 0.213733i
\(184\) 2.43363 0.261039i 0.179409 0.0192441i
\(185\) 14.4663 4.70038i 1.06358 0.345579i
\(186\) −15.8070 + 8.77669i −1.15903 + 0.643538i
\(187\) −10.0622 9.79017i −0.735824 0.715928i
\(188\) 21.0244 + 13.0959i 1.53336 + 0.955118i
\(189\) 0.303122 + 0.154448i 0.0220489 + 0.0112345i
\(190\) −8.57509 10.9595i −0.622102 0.795088i
\(191\) −1.23676 + 0.898562i −0.0894891 + 0.0650176i −0.631630 0.775270i \(-0.717614\pi\)
0.542141 + 0.840288i \(0.317614\pi\)
\(192\) −18.0782 + 7.02829i −1.30468 + 0.507223i
\(193\) −1.22972 + 3.78470i −0.0885173 + 0.272428i −0.985510 0.169617i \(-0.945747\pi\)
0.896993 + 0.442045i \(0.145747\pi\)
\(194\) 3.79056 1.38271i 0.272146 0.0992725i
\(195\) −22.5878 + 3.57755i −1.61755 + 0.256194i
\(196\) −2.72694 + 11.0038i −0.194781 + 0.785989i
\(197\) 2.23459 + 2.23459i 0.159208 + 0.159208i 0.782216 0.623008i \(-0.214089\pi\)
−0.623008 + 0.782216i \(0.714089\pi\)
\(198\) −13.4226 1.45201i −0.953904 0.103190i
\(199\) 7.71096i 0.546615i 0.961927 + 0.273308i \(0.0881177\pi\)
−0.961927 + 0.273308i \(0.911882\pi\)
\(200\) −2.12346 1.21994i −0.150151 0.0862630i
\(201\) 2.13397 2.93716i 0.150519 0.207171i
\(202\) 5.04311 + 2.34727i 0.354832 + 0.165153i
\(203\) −5.72291 + 2.91597i −0.401670 + 0.204661i
\(204\) 1.75984 20.4503i 0.123214 1.43181i
\(205\) 4.41434 27.8710i 0.308311 1.94660i
\(206\) 3.71460 2.90643i 0.258809 0.202500i
\(207\) 0.769710 + 2.36892i 0.0534986 + 0.164652i
\(208\) −14.7439 5.02983i −1.02231 0.348756i
\(209\) 3.98789 12.8710i 0.275848 0.890307i
\(210\) 2.63489 9.21371i 0.181825 0.635807i
\(211\) 11.0459 + 5.62819i 0.760434 + 0.387460i 0.790797 0.612079i \(-0.209666\pi\)
−0.0303631 + 0.999539i \(0.509666\pi\)
\(212\) −8.55819 + 20.2419i −0.587779 + 1.39022i
\(213\) −22.6112 3.58126i −1.54929 0.245384i
\(214\) 20.2475 3.95068i 1.38409 0.270063i
\(215\) 12.8140 + 4.16351i 0.873906 + 0.283949i
\(216\) 0.455638 + 0.698352i 0.0310022 + 0.0475168i
\(217\) 3.57661 4.92278i 0.242796 0.334180i
\(218\) −5.51331 5.13391i −0.373408 0.347712i
\(219\) 10.6630 + 10.6630i 0.720536 + 0.720536i
\(220\) −1.36296 16.0075i −0.0918911 1.07922i
\(221\) 11.6570 11.6570i 0.784135 0.784135i
\(222\) 0.766854 + 21.5207i 0.0514679 + 1.44437i
\(223\) −15.6735 11.3875i −1.04958 0.762562i −0.0774452 0.996997i \(-0.524676\pi\)
−0.972132 + 0.234434i \(0.924676\pi\)
\(224\) 4.51788 4.71185i 0.301864 0.314823i
\(225\) 0.770139 2.37024i 0.0513426 0.158016i
\(226\) −1.24177 + 1.84383i −0.0826012 + 0.122650i
\(227\) 3.67938 23.2307i 0.244209 1.54188i −0.495295 0.868725i \(-0.664940\pi\)
0.739504 0.673152i \(-0.235060\pi\)
\(228\) 18.2556 7.40600i 1.20901 0.490474i
\(229\) −9.41508 + 18.4781i −0.622166 + 1.22107i 0.337870 + 0.941193i \(0.390294\pi\)
−0.960036 + 0.279877i \(0.909706\pi\)
\(230\) −2.59132 + 1.43880i −0.170866 + 0.0948718i
\(231\) 8.78513 2.98817i 0.578019 0.196607i
\(232\) −15.7231 0.790352i −1.03227 0.0518892i
\(233\) −9.57012 + 3.10952i −0.626959 + 0.203711i −0.605228 0.796052i \(-0.706918\pi\)
−0.0217316 + 0.999764i \(0.506918\pi\)
\(234\) 1.92086 15.7367i 0.125571 1.02874i
\(235\) −29.6259 4.69228i −1.93258 0.306091i
\(236\) −13.2663 1.14163i −0.863566 0.0743136i
\(237\) 8.15403 + 16.0032i 0.529661 + 1.03952i
\(238\) 2.36730 + 6.48972i 0.153449 + 0.420666i
\(239\) −13.5774 9.86453i −0.878246 0.638083i 0.0545407 0.998512i \(-0.482631\pi\)
−0.932787 + 0.360428i \(0.882631\pi\)
\(240\) 16.8497 16.3645i 1.08764 1.05632i
\(241\) 19.3152 1.24420 0.622101 0.782937i \(-0.286279\pi\)
0.622101 + 0.782937i \(0.286279\pi\)
\(242\) 11.9844 9.91832i 0.770389 0.637574i
\(243\) −15.4043 + 15.4043i −0.988189 + 0.988189i
\(244\) −1.52197 2.52483i −0.0974340 0.161636i
\(245\) −2.14760 13.5594i −0.137205 0.866281i
\(246\) 36.2187 + 16.8577i 2.30922 + 1.07481i
\(247\) 15.0483 + 4.88948i 0.957499 + 0.311110i
\(248\) 13.6119 6.09527i 0.864356 0.387050i
\(249\) 15.7904 + 21.7336i 1.00067 + 1.37731i
\(250\) −14.0558 1.71568i −0.888968 0.108509i
\(251\) −8.47755 + 16.6381i −0.535098 + 1.05019i 0.452290 + 0.891871i \(0.350607\pi\)
−0.987388 + 0.158318i \(0.949393\pi\)
\(252\) 5.63875 + 3.51233i 0.355208 + 0.221256i
\(253\) −2.57485 1.26781i −0.161879 0.0797065i
\(254\) −28.0815 8.03060i −1.76199 0.503885i
\(255\) 7.68104 + 23.6398i 0.481005 + 1.48038i
\(256\) 15.3548 4.49770i 0.959677 0.281106i
\(257\) −20.7192 + 15.0534i −1.29243 + 0.939004i −0.999851 0.0172377i \(-0.994513\pi\)
−0.292577 + 0.956242i \(0.594513\pi\)
\(258\) −10.6552 + 15.8212i −0.663362 + 0.984987i
\(259\) −3.29024 6.45746i −0.204446 0.401247i
\(260\) 18.8170 1.34273i 1.16698 0.0832729i
\(261\) −2.50626 15.8239i −0.155134 0.979475i
\(262\) 20.1470 + 18.7606i 1.24469 + 1.15903i
\(263\) 7.17829i 0.442632i −0.975202 0.221316i \(-0.928965\pi\)
0.975202 0.221316i \(-0.0710352\pi\)
\(264\) 22.3193 + 4.37583i 1.37366 + 0.269314i
\(265\) 26.6133i 1.63484i
\(266\) −4.51838 + 4.85229i −0.277040 + 0.297513i
\(267\) 5.13547 + 32.4241i 0.314285 + 1.98432i
\(268\) −1.96156 + 2.26301i −0.119821 + 0.138235i
\(269\) 12.2757 + 24.0925i 0.748464 + 1.46894i 0.878657 + 0.477454i \(0.158440\pi\)
−0.130193 + 0.991489i \(0.541560\pi\)
\(270\) −0.837537 0.564059i −0.0509709 0.0343275i
\(271\) −0.212386 + 0.154307i −0.0129015 + 0.00937349i −0.594217 0.804305i \(-0.702538\pi\)
0.581316 + 0.813678i \(0.302538\pi\)
\(272\) −2.89269 + 16.6829i −0.175395 + 1.01155i
\(273\) 3.36718 + 10.3631i 0.203791 + 0.627204i
\(274\) 6.34500 22.1872i 0.383315 1.34038i
\(275\) 1.33864 + 2.54055i 0.0807231 + 0.153201i
\(276\) −0.949751 4.08727i −0.0571683 0.246025i
\(277\) −3.26646 + 6.41079i −0.196263 + 0.385187i −0.968074 0.250664i \(-0.919351\pi\)
0.771811 + 0.635851i \(0.219351\pi\)
\(278\) 0.379440 3.10858i 0.0227573 0.186440i
\(279\) 8.92130 + 12.2791i 0.534105 + 0.735132i
\(280\) −2.81715 + 7.38603i −0.168357 + 0.441400i
\(281\) 3.29858 + 1.07177i 0.196777 + 0.0639367i 0.405747 0.913985i \(-0.367011\pi\)
−0.208970 + 0.977922i \(0.567011\pi\)
\(282\) 17.9191 38.4992i 1.06707 2.29259i
\(283\) 0.978214 + 6.17620i 0.0581488 + 0.367137i 0.999554 + 0.0298597i \(0.00950605\pi\)
−0.941405 + 0.337277i \(0.890494\pi\)
\(284\) 18.3300 + 4.54247i 1.08768 + 0.269546i
\(285\) −16.8695 + 16.8695i −0.999261 + 0.999261i
\(286\) 11.4527 + 14.2311i 0.677213 + 0.841502i
\(287\) −13.4451 −0.793638
\(288\) 7.69539 + 14.3495i 0.453455 + 0.845552i
\(289\) −0.742542 0.539488i −0.0436789 0.0317346i
\(290\) 17.9100 6.53313i 1.05171 0.383639i
\(291\) −3.14045 6.16348i −0.184096 0.361309i
\(292\) −8.00933 9.51760i −0.468710 0.556975i
\(293\) −4.26543 0.675578i −0.249189 0.0394677i 0.0305902 0.999532i \(-0.490261\pi\)
−0.279779 + 0.960064i \(0.590261\pi\)
\(294\) 19.2926 + 2.35489i 1.12517 + 0.137340i
\(295\) 15.3354 4.98277i 0.892861 0.290108i
\(296\) 0.891795 17.7412i 0.0518346 1.03119i
\(297\) −0.0133990 0.977681i −0.000777489 0.0567308i
\(298\) −5.22957 9.41857i −0.302941 0.545603i
\(299\) 1.53003 3.00284i 0.0884836 0.173659i
\(300\) −1.63498 + 3.86708i −0.0943958 + 0.223266i
\(301\) 1.00425 6.34056i 0.0578838 0.365464i
\(302\) −0.772711 0.520400i −0.0444645 0.0299457i
\(303\) 2.94697 9.06984i 0.169299 0.521049i
\(304\) −15.5274 + 4.79557i −0.890556 + 0.275045i
\(305\) 2.88823 + 2.09842i 0.165379 + 0.120155i
\(306\) −17.2200 + 0.613609i −0.984404 + 0.0350777i
\(307\) −0.809738 + 0.809738i −0.0462142 + 0.0462142i −0.729836 0.683622i \(-0.760404\pi\)
0.683622 + 0.729836i \(0.260404\pi\)
\(308\) −7.43149 + 1.83453i −0.423448 + 0.104532i
\(309\) −5.71771 5.71771i −0.325269 0.325269i
\(310\) −12.3080 + 13.2176i −0.699050 + 0.750710i
\(311\) 0.105877 0.145728i 0.00600375 0.00826345i −0.806005 0.591909i \(-0.798374\pi\)
0.812008 + 0.583646i \(0.198374\pi\)
\(312\) −5.49702 + 26.1357i −0.311207 + 1.47964i
\(313\) 10.6835 + 3.47127i 0.603866 + 0.196208i 0.594964 0.803752i \(-0.297166\pi\)
0.00890208 + 0.999960i \(0.497166\pi\)
\(314\) −0.601542 3.08295i −0.0339470 0.173981i
\(315\) −7.94569 1.25847i −0.447689 0.0709070i
\(316\) −5.56965 13.7291i −0.313318 0.772321i
\(317\) −6.47028 3.29677i −0.363407 0.185165i 0.262747 0.964865i \(-0.415372\pi\)
−0.626154 + 0.779700i \(0.715372\pi\)
\(318\) 36.2250 + 10.3594i 2.03140 + 0.580929i
\(319\) 15.0820 + 10.6450i 0.844427 + 0.596005i
\(320\) −15.0055 + 12.2576i −0.838830 + 0.685223i
\(321\) −10.9291 33.6362i −0.610001 1.87739i
\(322\) 0.870242 + 1.11223i 0.0484967 + 0.0619819i
\(323\) 2.69027 16.9857i 0.149691 0.945111i
\(324\) 14.3079 12.0405i 0.794883 0.668917i
\(325\) −3.00452 + 1.53088i −0.166661 + 0.0849178i
\(326\) 2.79535 6.00581i 0.154820 0.332631i
\(327\) −7.59154 + 10.4489i −0.419813 + 0.577824i
\(328\) −28.5745 16.4162i −1.57776 0.906434i
\(329\) 14.2916i 0.787923i
\(330\) −26.9581 + 5.64458i −1.48399 + 0.310724i
\(331\) −2.41064 2.41064i −0.132501 0.132501i 0.637746 0.770247i \(-0.279867\pi\)
−0.770247 + 0.637746i \(0.779867\pi\)
\(332\) −11.4404 18.9787i −0.627873 1.04159i
\(333\) 17.8549 2.82794i 0.978444 0.154970i
\(334\) 3.51558 + 9.63763i 0.192364 + 0.527348i
\(335\) 1.12070 3.44915i 0.0612302 0.188447i
\(336\) −8.95699 6.70968i −0.488644 0.366043i
\(337\) −6.39433 + 4.64575i −0.348321 + 0.253070i −0.748164 0.663513i \(-0.769065\pi\)
0.399843 + 0.916584i \(0.369065\pi\)
\(338\) −2.41431 + 1.88904i −0.131321 + 0.102750i
\(339\) 3.39573 + 1.73021i 0.184431 + 0.0939722i
\(340\) −4.64082 19.9719i −0.251684 1.08313i
\(341\) −17.3091 2.49885i −0.937341 0.135320i
\(342\) −8.02818 14.4589i −0.434114 0.781850i
\(343\) −13.9034 + 4.51749i −0.750713 + 0.243922i
\(344\) 9.87602 12.2493i 0.532479 0.660436i
\(345\) 2.98680 + 4.11098i 0.160804 + 0.221328i
\(346\) 1.05530 + 5.40847i 0.0567330 + 0.290761i
\(347\) 20.5765 10.4843i 1.10461 0.562824i 0.196052 0.980594i \(-0.437188\pi\)
0.908553 + 0.417769i \(0.137188\pi\)
\(348\) 1.92104 + 26.9214i 0.102979 + 1.44314i
\(349\) −35.8513 + 5.67829i −1.91908 + 0.303952i −0.996620 0.0821506i \(-0.973821\pi\)
−0.922456 + 0.386102i \(0.873821\pi\)
\(350\) −0.0503184 1.41211i −0.00268963 0.0754806i
\(351\) 1.14816 0.0612840
\(352\) −18.0339 5.17485i −0.961209 0.275820i
\(353\) −5.75507 −0.306311 −0.153156 0.988202i \(-0.548944\pi\)
−0.153156 + 0.988202i \(0.548944\pi\)
\(354\) 0.812924 + 22.8135i 0.0432064 + 1.21253i
\(355\) −22.5870 + 3.57743i −1.19879 + 0.189870i
\(356\) −1.92745 27.0113i −0.102155 1.43159i
\(357\) 10.5523 5.37668i 0.558488 0.284564i
\(358\) 3.04959 + 15.6294i 0.161176 + 0.826038i
\(359\) 0.719766 + 0.990673i 0.0379878 + 0.0522857i 0.827588 0.561335i \(-0.189712\pi\)
−0.789601 + 0.613621i \(0.789712\pi\)
\(360\) −15.3502 12.3762i −0.809026 0.652281i
\(361\) −2.37189 + 0.770675i −0.124837 + 0.0405619i
\(362\) 16.8849 + 30.4102i 0.887453 + 1.59832i
\(363\) −19.3682 18.3346i −1.01657 0.962318i
\(364\) −2.03442 8.75517i −0.106633 0.458896i
\(365\) 13.4217 + 6.83872i 0.702526 + 0.357955i
\(366\) −3.98056 + 3.11452i −0.208067 + 0.162799i
\(367\) −6.60677 + 4.80010i −0.344871 + 0.250563i −0.746714 0.665145i \(-0.768370\pi\)
0.401843 + 0.915708i \(0.368370\pi\)
\(368\) 0.491492 + 3.42634i 0.0256208 + 0.178610i
\(369\) 10.3634 31.8953i 0.539498 1.66040i
\(370\) 7.37167 + 20.2087i 0.383235 + 1.05060i
\(371\) −12.5241 + 1.98363i −0.650221 + 0.102985i
\(372\) −13.2003 21.8983i −0.684404 1.13538i
\(373\) −9.84972 9.84972i −0.509999 0.509999i 0.404527 0.914526i \(-0.367436\pi\)
−0.914526 + 0.404527i \(0.867436\pi\)
\(374\) 13.3299 14.7142i 0.689271 0.760852i
\(375\) 24.2763i 1.25362i
\(376\) −17.4499 + 30.3736i −0.899908 + 1.56640i
\(377\) −12.7415 + 17.5371i −0.656219 + 0.903207i
\(378\) −0.203019 + 0.436185i −0.0104422 + 0.0224350i
\(379\) 4.68692 2.38811i 0.240751 0.122669i −0.329453 0.944172i \(-0.606864\pi\)
0.570204 + 0.821503i \(0.306864\pi\)
\(380\) 15.0574 12.6713i 0.772430 0.650022i
\(381\) −7.83316 + 49.4566i −0.401305 + 2.53374i
\(382\) −1.33224 1.70269i −0.0681632 0.0871170i
\(383\) −3.19988 9.84821i −0.163506 0.503220i 0.835417 0.549617i \(-0.185226\pi\)
−0.998923 + 0.0463966i \(0.985226\pi\)
\(384\) −10.8436 25.1963i −0.553362 1.28579i
\(385\) 7.42381 5.55073i 0.378352 0.282891i
\(386\) −5.41090 1.54738i −0.275408 0.0787598i
\(387\) 14.2674 + 7.26962i 0.725254 + 0.369536i
\(388\) 2.14510 + 5.28762i 0.108901 + 0.268438i
\(389\) 20.7373 + 3.28446i 1.05142 + 0.166529i 0.658145 0.752891i \(-0.271341\pi\)
0.393277 + 0.919420i \(0.371341\pi\)
\(390\) −6.19377 31.7435i −0.313634 1.60740i
\(391\) −3.48371 1.13193i −0.176179 0.0572439i
\(392\) −15.6893 3.29986i −0.792427 0.166668i
\(393\) 27.7414 38.1828i 1.39937 1.92607i
\(394\) −3.04565 + 3.27072i −0.153437 + 0.164776i
\(395\) 12.6866 + 12.6866i 0.638333 + 0.638333i
\(396\) 1.37617 19.0435i 0.0691550 0.956973i
\(397\) 9.04154 9.04154i 0.453782 0.453782i −0.442826 0.896608i \(-0.646024\pi\)
0.896608 + 0.442826i \(0.146024\pi\)
\(398\) −10.8980 + 0.388334i −0.546269 + 0.0194654i
\(399\) 9.19610 + 6.68136i 0.460381 + 0.334486i
\(400\) 1.61723 3.06256i 0.0808613 0.153128i
\(401\) 6.65537 20.4831i 0.332353 1.02288i −0.635658 0.771971i \(-0.719271\pi\)
0.968011 0.250907i \(-0.0807288\pi\)
\(402\) 4.25861 + 2.86806i 0.212400 + 0.143046i
\(403\) 3.21254 20.2832i 0.160028 1.01038i
\(404\) −3.06346 + 7.24572i −0.152413 + 0.360488i
\(405\) −10.2807 + 20.1770i −0.510853 + 1.00260i
\(406\) −4.40940 7.94144i −0.218835 0.394127i
\(407\) −12.0113 + 17.0178i −0.595378 + 0.843539i
\(408\) 28.9914 + 1.45731i 1.43529 + 0.0721475i
\(409\) 7.23082 2.34944i 0.357541 0.116172i −0.124738 0.992190i \(-0.539809\pi\)
0.482279 + 0.876018i \(0.339809\pi\)
\(410\) 39.6129 + 4.83524i 1.95634 + 0.238795i
\(411\) −39.0758 6.18899i −1.92747 0.305281i
\(412\) 4.29477 + 5.10354i 0.211588 + 0.251433i
\(413\) −3.48791 6.84541i −0.171629 0.336840i
\(414\) −3.30928 + 1.20715i −0.162642 + 0.0593280i
\(415\) 21.7103 + 15.7735i 1.06572 + 0.774290i
\(416\) 6.36622 21.0911i 0.312130 1.03408i
\(417\) −5.36894 −0.262918
\(418\) 18.3917 + 4.98796i 0.899566 + 0.243969i
\(419\) 7.78977 7.78977i 0.380555 0.380555i −0.490747 0.871302i \(-0.663276\pi\)
0.871302 + 0.490747i \(0.163276\pi\)
\(420\) 13.1546 + 3.25993i 0.641878 + 0.159068i
\(421\) −1.40436 8.86679i −0.0684444 0.432141i −0.997987 0.0634252i \(-0.979798\pi\)
0.929542 0.368716i \(-0.120202\pi\)
\(422\) −7.39812 + 15.8949i −0.360135 + 0.773749i
\(423\) −33.9036 11.0159i −1.64845 0.535613i
\(424\) −29.0392 11.0760i −1.41027 0.537899i
\(425\) 2.15425 + 2.96507i 0.104497 + 0.143827i
\(426\) 3.92272 32.1371i 0.190057 1.55705i
\(427\) 0.772237 1.51560i 0.0373712 0.0733450i
\(428\) 6.60325 + 28.4172i 0.319180 + 1.37360i
\(429\) 21.8392 22.4461i 1.05441 1.08371i
\(430\) −5.23904 + 18.3199i −0.252649 + 0.883464i
\(431\) 2.48658 + 7.65290i 0.119774 + 0.368627i 0.992913 0.118845i \(-0.0379191\pi\)
−0.873139 + 0.487472i \(0.837919\pi\)
\(432\) −0.964046 + 0.679131i −0.0463827 + 0.0326747i
\(433\) 4.14326 3.01025i 0.199112 0.144664i −0.483762 0.875200i \(-0.660730\pi\)
0.682874 + 0.730536i \(0.260730\pi\)
\(434\) 7.13756 + 4.80696i 0.342614 + 0.230741i
\(435\) −14.8383 29.1217i −0.711440 1.39628i
\(436\) 6.97818 8.05060i 0.334194 0.385554i
\(437\) −0.549980 3.47244i −0.0263091 0.166109i
\(438\) −14.5331 + 15.6071i −0.694420 + 0.745738i
\(439\) 1.83771i 0.0877090i 0.999038 + 0.0438545i \(0.0139638\pi\)
−0.999038 + 0.0438545i \(0.986036\pi\)
\(440\) 22.5550 2.73246i 1.07527 0.130265i
\(441\) 16.3158i 0.776944i
\(442\) 17.0621 + 15.8880i 0.811561 + 0.755714i
\(443\) −1.17269 7.40405i −0.0557160 0.351777i −0.999759 0.0219545i \(-0.993011\pi\)
0.944043 0.329823i \(-0.106989\pi\)
\(444\) −30.3769 + 2.16762i −1.44162 + 0.102870i
\(445\) 14.8878 + 29.2189i 0.705748 + 1.38511i
\(446\) 15.3048 22.7251i 0.724703 1.07607i
\(447\) −14.9420 + 10.8560i −0.706734 + 0.513472i
\(448\) 6.88686 + 6.14790i 0.325373 + 0.290461i
\(449\) 4.06069 + 12.4975i 0.191636 + 0.589795i 0.999999 + 0.00111094i \(0.000353623\pi\)
−0.808364 + 0.588684i \(0.799646\pi\)
\(450\) 3.38869 + 0.969082i 0.159744 + 0.0456830i
\(451\) 18.0135 + 34.1871i 0.848222 + 1.60981i
\(452\) −2.66845 1.66215i −0.125513 0.0781812i
\(453\) −0.725097 + 1.42308i −0.0340680 + 0.0668623i
\(454\) 33.0177 + 4.03021i 1.54960 + 0.189147i
\(455\) 6.39790 + 8.80595i 0.299938 + 0.412830i
\(456\) 11.3864 + 25.4280i 0.533217 + 1.19078i
\(457\) −38.5499 12.5256i −1.80329 0.585924i −0.803333 0.595530i \(-0.796942\pi\)
−0.999954 + 0.00960595i \(0.996942\pi\)
\(458\) −26.5896 12.3759i −1.24245 0.578288i
\(459\) −0.195217 1.23255i −0.00911193 0.0575305i
\(460\) −2.16399 3.58989i −0.100896 0.167380i
\(461\) −16.1644 + 16.1644i −0.752851 + 0.752851i −0.975010 0.222159i \(-0.928689\pi\)
0.222159 + 0.975010i \(0.428689\pi\)
\(462\) 4.66566 + 12.2657i 0.217066 + 0.570651i
\(463\) −22.9837 −1.06814 −0.534071 0.845440i \(-0.679338\pi\)
−0.534071 + 0.845440i \(0.679338\pi\)
\(464\) 0.325182 22.2615i 0.0150962 1.03347i
\(465\) 25.0501 + 18.2000i 1.16167 + 0.844004i
\(466\) −4.87670 13.3690i −0.225909 0.619307i
\(467\) −8.17239 16.0392i −0.378173 0.742207i 0.620960 0.783843i \(-0.286743\pi\)
−0.999133 + 0.0416357i \(0.986743\pi\)
\(468\) 22.3377 + 1.92226i 1.03256 + 0.0888565i
\(469\) −1.70669 0.270314i −0.0788077 0.0124819i
\(470\) 5.13968 42.1071i 0.237076 1.94226i
\(471\) −5.12155 + 1.66409i −0.235989 + 0.0766773i
\(472\) 0.945372 18.8070i 0.0435143 0.865664i
\(473\) −17.4677 + 5.94146i −0.803167 + 0.273189i
\(474\) −22.2069 + 12.3302i −1.02000 + 0.566343i
\(475\) −1.59699 + 3.13428i −0.0732751 + 0.143810i
\(476\) −9.05280 + 3.67257i −0.414935 + 0.168332i
\(477\) 4.94786 31.2396i 0.226547 1.43036i
\(478\) 13.2579 19.6859i 0.606403 0.900412i
\(479\) −0.0481411 + 0.148163i −0.00219962 + 0.00676974i −0.952150 0.305630i \(-0.901133\pi\)
0.949951 + 0.312400i \(0.101133\pi\)
\(480\) 23.9768 + 22.9898i 1.09439 + 1.04934i
\(481\) −19.7880 14.3769i −0.902257 0.655528i
\(482\) 0.972738 + 27.2985i 0.0443070 + 1.24341i
\(483\) 1.71199 1.71199i 0.0778985 0.0778985i
\(484\) 14.6213 + 16.4383i 0.664604 + 0.747196i
\(485\) −4.88613 4.88613i −0.221868 0.221868i
\(486\) −22.5470 20.9954i −1.02275 0.952372i
\(487\) −4.51946 + 6.22050i −0.204796 + 0.281878i −0.899044 0.437858i \(-0.855737\pi\)
0.694248 + 0.719736i \(0.255737\pi\)
\(488\) 3.49174 2.27818i 0.158064 0.103128i
\(489\) −10.8012 3.50953i −0.488448 0.158706i
\(490\) 19.0556 3.71811i 0.860845 0.167967i
\(491\) 32.7890 + 5.19327i 1.47975 + 0.234369i 0.843505 0.537121i \(-0.180488\pi\)
0.636241 + 0.771490i \(0.280488\pi\)
\(492\) −22.0012 + 52.0375i −0.991892 + 2.34603i
\(493\) 20.9925 + 10.6962i 0.945457 + 0.481734i
\(494\) −6.15254 + 21.5142i −0.276816 + 0.967971i
\(495\) 7.44556 + 21.8897i 0.334653 + 0.983871i
\(496\) 9.30006 + 18.9310i 0.417585 + 0.850025i
\(497\) 3.36706 + 10.3627i 0.151033 + 0.464833i
\(498\) −29.9212 + 23.4113i −1.34080 + 1.04909i
\(499\) −6.68304 + 42.1951i −0.299174 + 1.88891i 0.139434 + 0.990231i \(0.455472\pi\)
−0.438608 + 0.898679i \(0.644528\pi\)
\(500\) 1.71694 19.9517i 0.0767837 0.892269i
\(501\) 15.6709 7.98470i 0.700122 0.356730i
\(502\) −23.9419 11.1435i −1.06858 0.497361i
\(503\) 18.1210 24.9414i 0.807976 1.11208i −0.183656 0.982990i \(-0.558793\pi\)
0.991632 0.129093i \(-0.0412066\pi\)
\(504\) −4.68006 + 8.14623i −0.208467 + 0.362862i
\(505\) 9.52639i 0.423919i
\(506\) 1.66214 3.70292i 0.0738913 0.164615i
\(507\) 3.71623 + 3.71623i 0.165044 + 0.165044i
\(508\) 9.93557 40.0924i 0.440819 1.77881i
\(509\) 38.8989 6.16097i 1.72416 0.273080i 0.785736 0.618562i \(-0.212284\pi\)
0.938426 + 0.345481i \(0.112284\pi\)
\(510\) −33.0237 + 12.0463i −1.46231 + 0.533418i
\(511\) 2.21789 6.82596i 0.0981137 0.301963i
\(512\) 7.12996 + 21.4747i 0.315103 + 0.949058i
\(513\) 0.968993 0.704015i 0.0427821 0.0310830i
\(514\) −22.3186 28.5247i −0.984433 1.25817i
\(515\) −7.19702 3.66707i −0.317139 0.161590i
\(516\) −22.8970 14.2624i −1.00798 0.627865i
\(517\) 36.3396 19.1477i 1.59821 0.842114i
\(518\) 8.96074 4.97536i 0.393712 0.218605i
\(519\) 8.98482 2.91934i 0.394390 0.128145i
\(520\) 2.84536 + 26.5268i 0.124777 + 1.16328i
\(521\) 17.0634 + 23.4858i 0.747562 + 1.02893i 0.998148 + 0.0608359i \(0.0193766\pi\)
−0.250586 + 0.968094i \(0.580623\pi\)
\(522\) 22.2380 4.33905i 0.973329 0.189915i
\(523\) 16.1321 8.21970i 0.705406 0.359423i −0.0642035 0.997937i \(-0.520451\pi\)
0.769610 + 0.638514i \(0.220451\pi\)
\(524\) −25.5001 + 29.4189i −1.11397 + 1.28517i
\(525\) −2.39265 + 0.378959i −0.104424 + 0.0165391i
\(526\) 10.1452 0.361508i 0.442351 0.0157625i
\(527\) −22.3203 −0.972288
\(528\) −5.06041 + 31.7646i −0.220226 + 1.38238i
\(529\) 22.2512 0.967442
\(530\) 37.6130 1.34028i 1.63380 0.0582180i
\(531\) 18.9276 2.99784i 0.821388 0.130095i
\(532\) −7.08537 6.14154i −0.307190 0.266269i
\(533\) −40.4304 + 20.6003i −1.75124 + 0.892300i
\(534\) −45.5668 + 8.89096i −1.97187 + 0.384749i
\(535\) −20.7661 28.5820i −0.897795 1.23571i
\(536\) −3.29714 2.65833i −0.142415 0.114823i
\(537\) 25.9643 8.43631i 1.12044 0.364054i
\(538\) −33.4320 + 18.5628i −1.44136 + 0.800299i
\(539\) 13.4744 + 13.1100i 0.580383 + 0.564690i
\(540\) 0.755014 1.21211i 0.0324907 0.0521610i
\(541\) −7.38897 3.76487i −0.317677 0.161864i 0.287880 0.957666i \(-0.407050\pi\)
−0.605557 + 0.795802i \(0.707050\pi\)
\(542\) −0.228781 0.292397i −0.00982698 0.0125595i
\(543\) 48.2440 35.0513i 2.07035 1.50420i
\(544\) −23.7238 3.24812i −1.01715 0.139262i
\(545\) −3.98684 + 12.2702i −0.170778 + 0.525599i
\(546\) −14.4768 + 5.28079i −0.619549 + 0.225997i
\(547\) −1.43082 + 0.226620i −0.0611775 + 0.00968957i −0.186948 0.982370i \(-0.559860\pi\)
0.125771 + 0.992059i \(0.459860\pi\)
\(548\) 31.6771 + 7.85011i 1.35318 + 0.335340i
\(549\) 3.00017 + 3.00017i 0.128044 + 0.128044i
\(550\) −3.52319 + 2.01987i −0.150229 + 0.0861275i
\(551\) 22.6132i 0.963357i
\(552\) 5.72878 1.54814i 0.243833 0.0658932i
\(553\) 5.02469 6.91589i 0.213672 0.294094i
\(554\) −9.22498 4.29369i −0.391932 0.182421i
\(555\) 32.8596 16.7428i 1.39481 0.710692i
\(556\) 4.41252 + 0.379717i 0.187133 + 0.0161036i
\(557\) 4.99065 31.5097i 0.211461 1.33511i −0.622211 0.782849i \(-0.713765\pi\)
0.833672 0.552260i \(-0.186235\pi\)
\(558\) −16.9050 + 13.2270i −0.715646 + 0.559944i
\(559\) −6.69506 20.6053i −0.283171 0.871510i
\(560\) −10.5807 3.60956i −0.447115 0.152532i
\(561\) −27.8092 19.6280i −1.17411 0.828695i
\(562\) −1.34864 + 4.71592i −0.0568888 + 0.198929i
\(563\) −5.71604 2.91247i −0.240903 0.122746i 0.329372 0.944200i \(-0.393163\pi\)
−0.570274 + 0.821454i \(0.693163\pi\)
\(564\) 55.3140 + 23.3865i 2.32914 + 0.984750i
\(565\) 3.76017 + 0.595552i 0.158191 + 0.0250551i
\(566\) −8.67967 + 1.69357i −0.364834 + 0.0711860i
\(567\) 10.2615 + 3.33418i 0.430944 + 0.140022i
\(568\) −5.49682 + 26.1348i −0.230642 + 1.09659i
\(569\) −14.5901 + 20.0815i −0.611648 + 0.841861i −0.996712 0.0810286i \(-0.974179\pi\)
0.385064 + 0.922890i \(0.374179\pi\)
\(570\) −24.6915 22.9923i −1.03421 0.963042i
\(571\) −20.6026 20.6026i −0.862191 0.862191i 0.129402 0.991592i \(-0.458694\pi\)
−0.991592 + 0.129402i \(0.958694\pi\)
\(572\) −19.5363 + 16.9030i −0.816852 + 0.706750i
\(573\) −2.62086 + 2.62086i −0.109488 + 0.109488i
\(574\) −0.677111 19.0022i −0.0282621 0.793135i
\(575\) 0.606157 + 0.440399i 0.0252785 + 0.0183659i
\(576\) −19.8928 + 11.5987i −0.828868 + 0.483278i
\(577\) −7.65922 + 23.5727i −0.318858 + 0.981343i 0.655280 + 0.755386i \(0.272551\pi\)
−0.974137 + 0.225957i \(0.927449\pi\)
\(578\) 0.725072 1.07662i 0.0301590 0.0447813i
\(579\) −1.50934 + 9.52959i −0.0627260 + 0.396036i
\(580\) 10.1354 + 24.9834i 0.420848 + 1.03738i
\(581\) 5.80478 11.3925i 0.240823 0.472641i
\(582\) 8.55279 4.74885i 0.354524 0.196846i
\(583\) 21.8234 + 29.1877i 0.903835 + 1.20883i
\(584\) 13.0480 11.7990i 0.539931 0.488247i
\(585\) −25.8216 + 8.38993i −1.06759 + 0.346881i
\(586\) 0.739993 6.06243i 0.0305688 0.250436i
\(587\) −8.29979 1.31456i −0.342569 0.0542576i −0.0172202 0.999852i \(-0.505482\pi\)
−0.325349 + 0.945594i \(0.605482\pi\)
\(588\) −2.35661 + 27.3851i −0.0971850 + 1.12934i
\(589\) −9.72581 19.0880i −0.400745 0.786507i
\(590\) 7.81454 + 21.4228i 0.321719 + 0.881963i
\(591\) 6.19870 + 4.50362i 0.254980 + 0.185254i
\(592\) 25.1189 + 0.366919i 1.03238 + 0.0150803i
\(593\) 25.3999 1.04305 0.521525 0.853236i \(-0.325363\pi\)
0.521525 + 0.853236i \(0.325363\pi\)
\(594\) 1.38110 0.0681743i 0.0566671 0.00279723i
\(595\) 8.36541 8.36541i 0.342949 0.342949i
\(596\) 13.0481 7.86536i 0.534469 0.322178i
\(597\) 2.92463 + 18.4654i 0.119697 + 0.755738i
\(598\) 4.32102 + 2.01118i 0.176700 + 0.0822434i
\(599\) −37.2623 12.1073i −1.52250 0.494690i −0.576014 0.817440i \(-0.695393\pi\)
−0.946484 + 0.322750i \(0.895393\pi\)
\(600\) −5.54774 2.11600i −0.226486 0.0863853i
\(601\) −15.7244 21.6427i −0.641410 0.882825i 0.357280 0.933997i \(-0.383704\pi\)
−0.998690 + 0.0511722i \(0.983704\pi\)
\(602\) 9.01179 + 1.10000i 0.367293 + 0.0448326i
\(603\) 1.95677 3.84037i 0.0796857 0.156392i
\(604\) 0.696576 1.11829i 0.0283433 0.0455027i
\(605\) −24.0602 11.4399i −0.978188 0.465098i
\(606\) 12.9670 + 3.70823i 0.526747 + 0.150637i
\(607\) 1.95255 + 6.00932i 0.0792514 + 0.243911i 0.982831 0.184510i \(-0.0590700\pi\)
−0.903579 + 0.428421i \(0.859070\pi\)
\(608\) −7.55964 21.7036i −0.306584 0.880196i
\(609\) −12.5986 + 9.15345i −0.510523 + 0.370917i
\(610\) −2.82028 + 4.18766i −0.114190 + 0.169553i
\(611\) 21.8974 + 42.9761i 0.885874 + 1.73863i
\(612\) −1.73445 24.3065i −0.0701109 0.982531i
\(613\) 1.96623 + 12.4143i 0.0794153 + 0.501408i 0.995048 + 0.0993931i \(0.0316901\pi\)
−0.915633 + 0.402015i \(0.868310\pi\)
\(614\) −1.18520 1.10364i −0.0478306 0.0445391i
\(615\) 68.4169i 2.75883i
\(616\) −2.96703 10.4107i −0.119545 0.419457i
\(617\) 24.2679i 0.976990i 0.872567 + 0.488495i \(0.162454\pi\)
−0.872567 + 0.488495i \(0.837546\pi\)
\(618\) 7.79298 8.36888i 0.313479 0.336646i
\(619\) 0.791643 + 4.99824i 0.0318188 + 0.200896i 0.998477 0.0551754i \(-0.0175718\pi\)
−0.966658 + 0.256071i \(0.917572\pi\)
\(620\) −19.3005 16.7295i −0.775128 0.671873i
\(621\) −0.115819 0.227308i −0.00464767 0.00912157i
\(622\) 0.211291 + 0.142299i 0.00847201 + 0.00570567i
\(623\) 12.6407 9.18399i 0.506438 0.367949i
\(624\) −37.2149 6.45280i −1.48979 0.258319i
\(625\) 8.83155 + 27.1807i 0.353262 + 1.08723i
\(626\) −4.36797 + 15.2740i −0.174579 + 0.610470i
\(627\) 4.66803 32.3347i 0.186423 1.29132i
\(628\) 4.32689 1.00543i 0.172662 0.0401211i
\(629\) −12.0691 + 23.6870i −0.481227 + 0.944462i
\(630\) 1.37847 11.2932i 0.0549194 0.449930i
\(631\) −5.33436 7.34212i −0.212358 0.292285i 0.689529 0.724258i \(-0.257818\pi\)
−0.901887 + 0.431973i \(0.857818\pi\)
\(632\) 19.1230 8.56310i 0.760674 0.340622i
\(633\) 28.5863 + 9.28825i 1.13620 + 0.369175i
\(634\) 4.33353 9.31058i 0.172106 0.369770i
\(635\) 7.82477 + 49.4037i 0.310517 + 1.96053i
\(636\) −12.8168 + 51.7191i −0.508221 + 2.05080i
\(637\) −15.6099 + 15.6099i −0.618488 + 0.618488i
\(638\) −14.2852 + 21.8517i −0.565556 + 0.865116i
\(639\) −27.1785 −1.07517
\(640\) −18.0796 20.5901i −0.714660 0.813897i
\(641\) −11.9980 8.71707i −0.473893 0.344303i 0.325063 0.945692i \(-0.394614\pi\)
−0.798957 + 0.601389i \(0.794614\pi\)
\(642\) 46.9882 17.1402i 1.85448 0.676469i
\(643\) 1.24663 + 2.44665i 0.0491624 + 0.0964866i 0.914281 0.405081i \(-0.132757\pi\)
−0.865118 + 0.501568i \(0.832757\pi\)
\(644\) −1.52810 + 1.28594i −0.0602156 + 0.0506731i
\(645\) 32.2647 + 5.11022i 1.27042 + 0.201215i
\(646\) 24.1417 + 2.94679i 0.949842 + 0.115940i
\(647\) 30.5684 9.93228i 1.20177 0.390478i 0.361357 0.932428i \(-0.382314\pi\)
0.840411 + 0.541949i \(0.182314\pi\)
\(648\) 17.7376 + 19.6152i 0.696799 + 0.770559i
\(649\) −12.7329 + 18.0401i −0.499810 + 0.708137i
\(650\) −2.31493 4.16924i −0.0907989 0.163531i
\(651\) 6.69775 13.1451i 0.262506 0.515196i
\(652\) 8.62889 + 3.64826i 0.337933 + 0.142877i
\(653\) 6.76212 42.6943i 0.264622 1.67076i −0.394632 0.918839i \(-0.629128\pi\)
0.659255 0.751920i \(-0.270872\pi\)
\(654\) −15.1499 10.2030i −0.592407 0.398970i
\(655\) 14.5689 44.8386i 0.569255 1.75199i
\(656\) 21.7623 41.2115i 0.849674 1.60904i
\(657\) 14.4835 + 10.5229i 0.565054 + 0.410536i
\(658\) −20.1986 + 0.719745i −0.787423 + 0.0280586i
\(659\) −11.0060 + 11.0060i −0.428732 + 0.428732i −0.888196 0.459464i \(-0.848041\pi\)
0.459464 + 0.888196i \(0.348041\pi\)
\(660\) −9.33523 37.8160i −0.363373 1.47199i
\(661\) 11.8140 + 11.8140i 0.459512 + 0.459512i 0.898495 0.438983i \(-0.144661\pi\)
−0.438983 + 0.898495i \(0.644661\pi\)
\(662\) 3.28560 3.52840i 0.127698 0.137135i
\(663\) 23.4936 32.3362i 0.912417 1.25583i
\(664\) 26.2468 17.1247i 1.01857 0.664566i
\(665\) 10.7991 + 3.50884i 0.418771 + 0.136067i
\(666\) 4.89598 + 25.0923i 0.189715 + 0.972305i
\(667\) 4.75723 + 0.753471i 0.184201 + 0.0291745i
\(668\) −13.4440 + 5.45399i −0.520163 + 0.211021i
\(669\) −41.8524 21.3248i −1.61811 0.824466i
\(670\) 4.93118 + 1.41019i 0.190508 + 0.0544806i
\(671\) −4.88838 + 0.0669946i −0.188714 + 0.00258630i
\(672\) 9.03182 12.9970i 0.348410 0.501369i
\(673\) −3.49631 10.7605i −0.134773 0.414789i 0.860782 0.508974i \(-0.169975\pi\)
−0.995555 + 0.0941858i \(0.969975\pi\)
\(674\) −6.88794 8.80324i −0.265314 0.339088i
\(675\) −0.0399309 + 0.252114i −0.00153694 + 0.00970386i
\(676\) −2.79139 3.31705i −0.107361 0.127579i
\(677\) 12.9408 6.59368i 0.497357 0.253416i −0.187272 0.982308i \(-0.559965\pi\)
0.684628 + 0.728892i \(0.259965\pi\)
\(678\) −2.27432 + 4.88638i −0.0873448 + 0.187660i
\(679\) −1.93521 + 2.66359i −0.0742666 + 0.102219i
\(680\) 27.9928 7.56476i 1.07348 0.290095i
\(681\) 57.0259i 2.18524i
\(682\) 2.65996 24.5891i 0.101855 0.941565i
\(683\) −25.1437 25.1437i −0.962096 0.962096i 0.0372116 0.999307i \(-0.488152\pi\)
−0.999307 + 0.0372116i \(0.988152\pi\)
\(684\) 20.0307 12.0745i 0.765895 0.461681i
\(685\) −39.0340 + 6.18237i −1.49141 + 0.236216i
\(686\) −7.08484 19.4224i −0.270500 0.741551i
\(687\) −15.5378 + 47.8204i −0.592804 + 1.82446i
\(688\) 17.8094 + 13.3411i 0.678979 + 0.508623i
\(689\) −34.6218 + 25.1542i −1.31899 + 0.958300i
\(690\) −5.65969 + 4.42833i −0.215461 + 0.168584i
\(691\) −9.75432 4.97008i −0.371072 0.189071i 0.258503 0.966011i \(-0.416771\pi\)
−0.629575 + 0.776940i \(0.716771\pi\)
\(692\) −7.59073 + 1.76384i −0.288556 + 0.0670513i
\(693\) 9.74631 5.13542i 0.370232 0.195079i
\(694\) 15.8538 + 28.5531i 0.601803 + 1.08386i
\(695\) −5.10070 + 1.65732i −0.193481 + 0.0628657i
\(696\) −37.9518 + 4.07084i −1.43856 + 0.154305i
\(697\) 28.9888 + 39.8996i 1.09803 + 1.51131i
\(698\) −9.83073 50.3833i −0.372099 1.90703i
\(699\) −21.7381 + 11.0761i −0.822211 + 0.418937i
\(700\) 1.99323 0.142232i 0.0753369 0.00537585i
\(701\) 10.7333 1.69998i 0.405390 0.0642075i 0.0495901 0.998770i \(-0.484208\pi\)
0.355800 + 0.934562i \(0.384208\pi\)
\(702\) 0.0578226 + 1.62271i 0.00218237 + 0.0612451i
\(703\) −25.5157 −0.962343
\(704\) 6.40549 25.7482i 0.241416 0.970422i
\(705\) −72.7247 −2.73897
\(706\) −0.289833 8.13373i −0.0109080 0.306117i
\(707\) −4.48310 + 0.710053i −0.168604 + 0.0267043i
\(708\) −32.2018 + 2.29784i −1.21022 + 0.0863581i
\(709\) −34.7099 + 17.6856i −1.30356 + 0.664197i −0.961325 0.275418i \(-0.911184\pi\)
−0.342235 + 0.939614i \(0.611184\pi\)
\(710\) −6.19355 31.7424i −0.232440 1.19127i
\(711\) 12.5333 + 17.2507i 0.470037 + 0.646950i
\(712\) 38.0784 4.08442i 1.42705 0.153070i
\(713\) −4.33967 + 1.41004i −0.162522 + 0.0528066i
\(714\) 8.13038 + 14.6430i 0.304272 + 0.548001i
\(715\) 13.8193 28.0661i 0.516811 1.04961i
\(716\) −21.9357 + 5.09715i −0.819775 + 0.190489i
\(717\) −36.2550 18.4729i −1.35397 0.689882i
\(718\) −1.36389 + 1.06715i −0.0508998 + 0.0398256i
\(719\) −10.5825 + 7.68862i −0.394660 + 0.286737i −0.767362 0.641214i \(-0.778431\pi\)
0.372703 + 0.927951i \(0.378431\pi\)
\(720\) 16.7184 22.3180i 0.623057 0.831741i
\(721\) −1.18928 + 3.66023i −0.0442911 + 0.136314i
\(722\) −1.20866 3.31343i −0.0449817 0.123313i
\(723\) 46.2540 7.32591i 1.72020 0.272453i
\(724\) −42.1288 + 25.3953i −1.56571 + 0.943807i
\(725\) −3.40770 3.40770i −0.126559 0.126559i
\(726\) 24.9372 28.2968i 0.925507 1.05019i
\(727\) 46.1418i 1.71131i −0.517550 0.855653i \(-0.673156\pi\)
0.517550 0.855653i \(-0.326844\pi\)
\(728\) 12.2714 3.31620i 0.454807 0.122907i
\(729\) −14.5587 + 20.0383i −0.539211 + 0.742161i
\(730\) −8.98933 + 19.3136i −0.332710 + 0.714827i
\(731\) −20.9815 + 10.6906i −0.776029 + 0.395406i
\(732\) −4.60227 5.46894i −0.170105 0.202138i
\(733\) −6.52884 + 41.2215i −0.241148 + 1.52255i 0.508703 + 0.860942i \(0.330125\pi\)
−0.749851 + 0.661607i \(0.769875\pi\)
\(734\) −7.11679 9.09572i −0.262685 0.335729i
\(735\) −10.2857 31.6561i −0.379394 1.16765i
\(736\) −4.81775 + 0.867188i −0.177584 + 0.0319650i
\(737\) 1.59927 + 4.70180i 0.0589097 + 0.173193i
\(738\) 45.6001 + 13.0405i 1.67856 + 0.480027i
\(739\) 35.1877 + 17.9290i 1.29440 + 0.659530i 0.959230 0.282627i \(-0.0912059\pi\)
0.335171 + 0.942157i \(0.391206\pi\)
\(740\) −28.1901 + 11.4362i −1.03629 + 0.420405i
\(741\) 37.8905 + 6.00126i 1.39194 + 0.220462i
\(742\) −3.43423 17.6007i −0.126074 0.646141i
\(743\) −38.4133 12.4812i −1.40925 0.457892i −0.497078 0.867706i \(-0.665594\pi\)
−0.912169 + 0.409814i \(0.865594\pi\)
\(744\) 30.2845 19.7590i 1.11028 0.724402i
\(745\) −10.8444 + 14.9260i −0.397308 + 0.546848i
\(746\) 13.4247 14.4168i 0.491514 0.527837i
\(747\) 22.5518 + 22.5518i 0.825127 + 0.825127i
\(748\) 21.4671 + 18.0983i 0.784915 + 0.661739i
\(749\) −11.9028 + 11.9028i −0.434920 + 0.434920i
\(750\) −34.3101 + 1.22259i −1.25283 + 0.0446425i
\(751\) 34.7342 + 25.2359i 1.26747 + 0.920871i 0.999099 0.0424449i \(-0.0135147\pi\)
0.268371 + 0.963316i \(0.413515\pi\)
\(752\) −43.8064 23.1325i −1.59745 0.843556i
\(753\) −13.9906 + 43.0586i −0.509845 + 1.56914i
\(754\) −25.4272 17.1245i −0.926003 0.623638i
\(755\) −0.249584 + 1.57581i −0.00908330 + 0.0573497i
\(756\) −0.626692 0.264963i −0.0227926 0.00963661i
\(757\) 21.1376 41.4848i 0.768258 1.50779i −0.0907762 0.995871i \(-0.528935\pi\)
0.859034 0.511919i \(-0.171065\pi\)
\(758\) 3.61119 + 6.50384i 0.131164 + 0.236230i
\(759\) −6.64682 2.05942i −0.241264 0.0747522i
\(760\) 18.6668 + 20.6428i 0.677116 + 0.748792i
\(761\) −44.0694 + 14.3190i −1.59751 + 0.519064i −0.966491 0.256700i \(-0.917365\pi\)
−0.631023 + 0.775764i \(0.717365\pi\)
\(762\) −70.2923 8.58003i −2.54642 0.310822i
\(763\) 6.07151 + 0.961632i 0.219803 + 0.0348134i
\(764\) 2.33934 1.96862i 0.0846344 0.0712222i
\(765\) 13.3970 + 26.2930i 0.484368 + 0.950626i
\(766\) 13.7575 5.01841i 0.497078 0.181322i
\(767\) −20.9768 15.2406i −0.757430 0.550305