Properties

Label 234.2.y.a.149.8
Level $234$
Weight $2$
Character 234.149
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(11,234)]
 
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([2, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("234.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 234 = 2 \cdot 3^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 234.y (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 149.8
Character \(\chi\) \(=\) 234.149
Dual form 234.2.y.a.11.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.36513 - 1.06603i) q^{3} +1.00000i q^{4} +(-3.36565 + 0.901822i) q^{5} +(-0.211491 - 1.71909i) q^{6} +(0.0541850 - 0.0145188i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.727143 + 2.91054i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(-1.36513 - 1.06603i) q^{3} +1.00000i q^{4} +(-3.36565 + 0.901822i) q^{5} +(-0.211491 - 1.71909i) q^{6} +(0.0541850 - 0.0145188i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.727143 + 2.91054i) q^{9} +(-3.01756 - 1.74219i) q^{10} +(-3.65076 + 3.65076i) q^{11} +(1.06603 - 1.36513i) q^{12} +(-3.37979 - 1.25580i) q^{13} +(0.0485810 + 0.0280482i) q^{14} +(5.55591 + 2.35679i) q^{15} -1.00000 q^{16} +(-1.83057 - 3.17065i) q^{17} +(-1.54390 + 2.57223i) q^{18} +(0.677531 + 0.181544i) q^{19} +(-0.901822 - 3.36565i) q^{20} +(-0.0894470 - 0.0379430i) q^{21} -5.16296 q^{22} +(2.89347 + 5.01164i) q^{23} +(1.71909 - 0.211491i) q^{24} +(6.18416 - 3.57043i) q^{25} +(-1.50189 - 3.27785i) q^{26} +(2.11009 - 4.74842i) q^{27} +(0.0145188 + 0.0541850i) q^{28} -3.45319i q^{29} +(2.26212 + 5.59512i) q^{30} +(1.54108 + 5.75138i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(8.87559 - 1.09192i) q^{33} +(0.947575 - 3.53640i) q^{34} +(-0.169274 + 0.0977305i) q^{35} +(-2.91054 + 0.727143i) q^{36} +(7.28892 - 1.95306i) q^{37} +(0.350716 + 0.607458i) q^{38} +(3.27512 + 5.31729i) q^{39} +(1.74219 - 3.01756i) q^{40} +(-0.780112 + 2.91142i) q^{41} +(-0.0364188 - 0.0900783i) q^{42} +(-4.70232 - 2.71489i) q^{43} +(-3.65076 - 3.65076i) q^{44} +(-5.07210 - 9.14010i) q^{45} +(-1.49777 + 5.58976i) q^{46} +(-4.82793 - 1.29364i) q^{47} +(1.36513 + 1.06603i) q^{48} +(-6.05945 + 3.49843i) q^{49} +(6.89754 + 1.84819i) q^{50} +(-0.881051 + 6.27979i) q^{51} +(1.25580 - 3.37979i) q^{52} +3.89525i q^{53} +(4.84970 - 1.86558i) q^{54} +(8.99483 - 15.5795i) q^{55} +(-0.0280482 + 0.0485810i) q^{56} +(-0.731384 - 0.970102i) q^{57} +(2.44178 - 2.44178i) q^{58} +(0.745519 - 0.745519i) q^{59} +(-2.35679 + 5.55591i) q^{60} +(1.50195 - 2.60145i) q^{61} +(-2.97713 + 5.15654i) q^{62} +(0.0816580 + 0.147151i) q^{63} -1.00000i q^{64} +(12.5077 + 1.17860i) q^{65} +(7.04809 + 5.50389i) q^{66} +(-10.5121 - 2.81672i) q^{67} +(3.17065 - 1.83057i) q^{68} +(1.39262 - 9.92606i) q^{69} +(-0.188801 - 0.0505890i) q^{70} +(-3.98742 + 14.8813i) q^{71} +(-2.57223 - 1.54390i) q^{72} +(5.86521 + 5.86521i) q^{73} +(6.53507 + 3.77302i) q^{74} +(-12.2484 - 1.71844i) q^{75} +(-0.181544 + 0.677531i) q^{76} +(-0.144812 + 0.250821i) q^{77} +(-1.44403 + 6.07575i) q^{78} +(2.76723 + 4.79298i) q^{79} +(3.36565 - 0.901822i) q^{80} +(-7.94252 + 4.23277i) q^{81} +(-2.61030 + 1.50706i) q^{82} +(-4.13340 + 15.4261i) q^{83} +(0.0379430 - 0.0894470i) q^{84} +(9.02042 + 9.02042i) q^{85} +(-1.40533 - 5.24476i) q^{86} +(-3.68122 + 4.71405i) q^{87} -5.16296i q^{88} +(-4.41179 - 16.4650i) q^{89} +(2.87651 - 10.0495i) q^{90} +(-0.201367 - 0.0189747i) q^{91} +(-5.01164 + 2.89347i) q^{92} +(4.02740 - 9.49420i) q^{93} +(-2.49912 - 4.32861i) q^{94} -2.44405 q^{95} +(0.211491 + 1.71909i) q^{96} +(-0.595628 - 2.22292i) q^{97} +(-6.75844 - 1.81092i) q^{98} +(-13.2803 - 7.97107i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 56 q + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 56 q + 4 q^{7} + 24 q^{15} - 56 q^{16} - 8 q^{19} + 36 q^{27} - 4 q^{28} + 8 q^{31} - 36 q^{33} + 24 q^{35} - 24 q^{36} - 4 q^{37} - 36 q^{38} - 24 q^{39} - 48 q^{41} + 36 q^{42} + 12 q^{43} - 36 q^{45} + 60 q^{47} - 24 q^{50} - 4 q^{52} + 24 q^{57} - 60 q^{63} - 120 q^{65} - 56 q^{67} - 36 q^{69} + 24 q^{71} + 28 q^{73} + 48 q^{74} + 4 q^{76} - 24 q^{77} + 36 q^{78} - 24 q^{79} - 120 q^{81} - 60 q^{83} + 24 q^{84} + 48 q^{86} + 48 q^{87} + 4 q^{91} - 24 q^{92} + 20 q^{97} - 48 q^{98} - 24 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) −1.36513 1.06603i −0.788156 0.615475i
\(4\) 1.00000i 0.500000i
\(5\) −3.36565 + 0.901822i −1.50516 + 0.403307i −0.914825 0.403850i \(-0.867672\pi\)
−0.590337 + 0.807157i \(0.701005\pi\)
\(6\) −0.211491 1.71909i −0.0863407 0.701816i
\(7\) 0.0541850 0.0145188i 0.0204800 0.00548760i −0.248564 0.968615i \(-0.579959\pi\)
0.269045 + 0.963128i \(0.413292\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.727143 + 2.91054i 0.242381 + 0.970181i
\(10\) −3.01756 1.74219i −0.954235 0.550928i
\(11\) −3.65076 + 3.65076i −1.10075 + 1.10075i −0.106426 + 0.994321i \(0.533941\pi\)
−0.994321 + 0.106426i \(0.966059\pi\)
\(12\) 1.06603 1.36513i 0.307737 0.394078i
\(13\) −3.37979 1.25580i −0.937385 0.348295i
\(14\) 0.0485810 + 0.0280482i 0.0129838 + 0.00749621i
\(15\) 5.55591 + 2.35679i 1.43453 + 0.608521i
\(16\) −1.00000 −0.250000
\(17\) −1.83057 3.17065i −0.443979 0.768995i 0.554001 0.832516i \(-0.313100\pi\)
−0.997980 + 0.0635211i \(0.979767\pi\)
\(18\) −1.54390 + 2.57223i −0.363900 + 0.606281i
\(19\) 0.677531 + 0.181544i 0.155436 + 0.0416491i 0.335698 0.941970i \(-0.391028\pi\)
−0.180262 + 0.983619i \(0.557694\pi\)
\(20\) −0.901822 3.36565i −0.201654 0.752581i
\(21\) −0.0894470 0.0379430i −0.0195189 0.00827985i
\(22\) −5.16296 −1.10075
\(23\) 2.89347 + 5.01164i 0.603330 + 1.04500i 0.992313 + 0.123754i \(0.0394933\pi\)
−0.388982 + 0.921245i \(0.627173\pi\)
\(24\) 1.71909 0.211491i 0.350908 0.0431704i
\(25\) 6.18416 3.57043i 1.23683 0.714085i
\(26\) −1.50189 3.27785i −0.294545 0.642840i
\(27\) 2.11009 4.74842i 0.406088 0.913834i
\(28\) 0.0145188 + 0.0541850i 0.00274380 + 0.0102400i
\(29\) 3.45319i 0.641242i −0.947208 0.320621i \(-0.896108\pi\)
0.947208 0.320621i \(-0.103892\pi\)
\(30\) 2.26212 + 5.59512i 0.413004 + 1.02152i
\(31\) 1.54108 + 5.75138i 0.276786 + 1.03298i 0.954635 + 0.297778i \(0.0962454\pi\)
−0.677850 + 0.735201i \(0.737088\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 8.87559 1.09192i 1.54504 0.190079i
\(34\) 0.947575 3.53640i 0.162508 0.606487i
\(35\) −0.169274 + 0.0977305i −0.0286126 + 0.0165195i
\(36\) −2.91054 + 0.727143i −0.485091 + 0.121191i
\(37\) 7.28892 1.95306i 1.19829 0.321081i 0.396134 0.918193i \(-0.370352\pi\)
0.802158 + 0.597112i \(0.203685\pi\)
\(38\) 0.350716 + 0.607458i 0.0568937 + 0.0985427i
\(39\) 3.27512 + 5.31729i 0.524439 + 0.851448i
\(40\) 1.74219 3.01756i 0.275464 0.477117i
\(41\) −0.780112 + 2.91142i −0.121833 + 0.454687i −0.999707 0.0242048i \(-0.992295\pi\)
0.877874 + 0.478892i \(0.158961\pi\)
\(42\) −0.0364188 0.0900783i −0.00561955 0.0138994i
\(43\) −4.70232 2.71489i −0.717097 0.414016i 0.0965863 0.995325i \(-0.469208\pi\)
−0.813683 + 0.581309i \(0.802541\pi\)
\(44\) −3.65076 3.65076i −0.550373 0.550373i
\(45\) −5.07210 9.14010i −0.756104 1.36253i
\(46\) −1.49777 + 5.58976i −0.220834 + 0.824165i
\(47\) −4.82793 1.29364i −0.704226 0.188697i −0.111103 0.993809i \(-0.535439\pi\)
−0.593123 + 0.805112i \(0.702105\pi\)
\(48\) 1.36513 + 1.06603i 0.197039 + 0.153869i
\(49\) −6.05945 + 3.49843i −0.865636 + 0.499775i
\(50\) 6.89754 + 1.84819i 0.975459 + 0.261373i
\(51\) −0.881051 + 6.27979i −0.123372 + 0.879346i
\(52\) 1.25580 3.37979i 0.174148 0.468692i
\(53\) 3.89525i 0.535053i 0.963550 + 0.267527i \(0.0862064\pi\)
−0.963550 + 0.267527i \(0.913794\pi\)
\(54\) 4.84970 1.86558i 0.659961 0.253873i
\(55\) 8.99483 15.5795i 1.21286 2.10074i
\(56\) −0.0280482 + 0.0485810i −0.00374810 + 0.00649190i
\(57\) −0.731384 0.970102i −0.0968742 0.128493i
\(58\) 2.44178 2.44178i 0.320621 0.320621i
\(59\) 0.745519 0.745519i 0.0970583 0.0970583i −0.656910 0.753969i \(-0.728137\pi\)
0.753969 + 0.656910i \(0.228137\pi\)
\(60\) −2.35679 + 5.55591i −0.304260 + 0.717264i
\(61\) 1.50195 2.60145i 0.192305 0.333082i −0.753709 0.657209i \(-0.771737\pi\)
0.946014 + 0.324127i \(0.105070\pi\)
\(62\) −2.97713 + 5.15654i −0.378096 + 0.654882i
\(63\) 0.0816580 + 0.147151i 0.0102879 + 0.0185392i
\(64\) 1.00000i 0.125000i
\(65\) 12.5077 + 1.17860i 1.55139 + 0.146187i
\(66\) 7.04809 + 5.50389i 0.867560 + 0.677482i
\(67\) −10.5121 2.81672i −1.28426 0.344117i −0.448784 0.893640i \(-0.648143\pi\)
−0.835478 + 0.549524i \(0.814809\pi\)
\(68\) 3.17065 1.83057i 0.384497 0.221990i
\(69\) 1.39262 9.92606i 0.167652 1.19496i
\(70\) −0.188801 0.0505890i −0.0225660 0.00604655i
\(71\) −3.98742 + 14.8813i −0.473220 + 1.76608i 0.154865 + 0.987936i \(0.450506\pi\)
−0.628085 + 0.778145i \(0.716161\pi\)
\(72\) −2.57223 1.54390i −0.303141 0.181950i
\(73\) 5.86521 + 5.86521i 0.686471 + 0.686471i 0.961450 0.274979i \(-0.0886710\pi\)
−0.274979 + 0.961450i \(0.588671\pi\)
\(74\) 6.53507 + 3.77302i 0.759687 + 0.438605i
\(75\) −12.2484 1.71844i −1.41432 0.198428i
\(76\) −0.181544 + 0.677531i −0.0208245 + 0.0777182i
\(77\) −0.144812 + 0.250821i −0.0165028 + 0.0285838i
\(78\) −1.44403 + 6.07575i −0.163504 + 0.687944i
\(79\) 2.76723 + 4.79298i 0.311338 + 0.539253i 0.978652 0.205523i \(-0.0658896\pi\)
−0.667314 + 0.744776i \(0.732556\pi\)
\(80\) 3.36565 0.901822i 0.376291 0.100827i
\(81\) −7.94252 + 4.23277i −0.882503 + 0.470307i
\(82\) −2.61030 + 1.50706i −0.288260 + 0.166427i
\(83\) −4.13340 + 15.4261i −0.453699 + 1.69323i 0.238184 + 0.971220i \(0.423448\pi\)
−0.691883 + 0.722009i \(0.743219\pi\)
\(84\) 0.0379430 0.0894470i 0.00413992 0.00975947i
\(85\) 9.02042 + 9.02042i 0.978402 + 0.978402i
\(86\) −1.40533 5.24476i −0.151540 0.565556i
\(87\) −3.68122 + 4.71405i −0.394668 + 0.505399i
\(88\) 5.16296i 0.550373i
\(89\) −4.41179 16.4650i −0.467649 1.74529i −0.647955 0.761679i \(-0.724375\pi\)
0.180306 0.983611i \(-0.442291\pi\)
\(90\) 2.87651 10.0495i 0.303211 1.05932i
\(91\) −0.201367 0.0189747i −0.0211090 0.00198909i
\(92\) −5.01164 + 2.89347i −0.522500 + 0.301665i
\(93\) 4.02740 9.49420i 0.417622 0.984503i
\(94\) −2.49912 4.32861i −0.257765 0.446462i
\(95\) −2.44405 −0.250754
\(96\) 0.211491 + 1.71909i 0.0215852 + 0.175454i
\(97\) −0.595628 2.22292i −0.0604769 0.225703i 0.929072 0.369898i \(-0.120607\pi\)
−0.989549 + 0.144195i \(0.953941\pi\)
\(98\) −6.75844 1.81092i −0.682706 0.182930i
\(99\) −13.2803 7.97107i −1.33472 0.801123i
\(100\) 3.57043 + 6.18416i 0.357043 + 0.618416i
\(101\) −3.52328 −0.350580 −0.175290 0.984517i \(-0.556086\pi\)
−0.175290 + 0.984517i \(0.556086\pi\)
\(102\) −5.06348 + 3.81748i −0.501359 + 0.377987i
\(103\) 5.20698 + 3.00625i 0.513059 + 0.296215i 0.734090 0.679052i \(-0.237609\pi\)
−0.221031 + 0.975267i \(0.570942\pi\)
\(104\) 3.27785 1.50189i 0.321420 0.147272i
\(105\) 0.335265 + 0.0470375i 0.0327185 + 0.00459039i
\(106\) −2.75436 + 2.75436i −0.267527 + 0.267527i
\(107\) 14.5555 + 8.40363i 1.40714 + 0.812410i 0.995111 0.0987630i \(-0.0314886\pi\)
0.412024 + 0.911173i \(0.364822\pi\)
\(108\) 4.74842 + 2.11009i 0.456917 + 0.203044i
\(109\) −14.0667 + 14.0667i −1.34734 + 1.34734i −0.458806 + 0.888537i \(0.651723\pi\)
−0.888537 + 0.458806i \(0.848277\pi\)
\(110\) 17.3767 4.65607i 1.65680 0.443939i
\(111\) −12.0323 5.10406i −1.14206 0.484456i
\(112\) −0.0541850 + 0.0145188i −0.00512000 + 0.00137190i
\(113\) 19.5681i 1.84082i −0.390960 0.920408i \(-0.627857\pi\)
0.390960 0.920408i \(-0.372143\pi\)
\(114\) 0.168799 1.20313i 0.0158095 0.112684i
\(115\) −14.2580 14.2580i −1.32957 1.32957i
\(116\) 3.45319 0.320621
\(117\) 1.19746 10.7502i 0.110705 0.993853i
\(118\) 1.05432 0.0970583
\(119\) −0.145224 0.145224i −0.0133126 0.0133126i
\(120\) −5.59512 + 2.26212i −0.510762 + 0.206502i
\(121\) 15.6561i 1.42328i
\(122\) 2.90154 0.777466i 0.262693 0.0703885i
\(123\) 4.16862 3.14283i 0.375872 0.283379i
\(124\) −5.75138 + 1.54108i −0.516489 + 0.138393i
\(125\) −5.27469 + 5.27469i −0.471782 + 0.471782i
\(126\) −0.0463103 + 0.161792i −0.00412565 + 0.0144136i
\(127\) −0.00248320 0.00143368i −0.000220349 0.000127218i 0.499890 0.866089i \(-0.333374\pi\)
−0.500110 + 0.865962i \(0.666707\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) 3.52510 + 8.71899i 0.310368 + 0.767665i
\(130\) 8.01087 + 9.67766i 0.702600 + 0.848787i
\(131\) −10.8797 6.28138i −0.950562 0.548807i −0.0573063 0.998357i \(-0.518251\pi\)
−0.893255 + 0.449550i \(0.851584\pi\)
\(132\) 1.09192 + 8.87559i 0.0950393 + 0.772521i
\(133\) 0.0393479 0.00341189
\(134\) −5.44148 9.42492i −0.470072 0.814189i
\(135\) −2.81960 + 17.8844i −0.242673 + 1.53925i
\(136\) 3.53640 + 0.947575i 0.303244 + 0.0812539i
\(137\) −3.63959 13.5832i −0.310952 1.16049i −0.927700 0.373327i \(-0.878217\pi\)
0.616748 0.787160i \(-0.288450\pi\)
\(138\) 8.00352 6.03405i 0.681305 0.513653i
\(139\) 0.313887 0.0266236 0.0133118 0.999911i \(-0.495763\pi\)
0.0133118 + 0.999911i \(0.495763\pi\)
\(140\) −0.0977305 0.169274i −0.00825973 0.0143063i
\(141\) 5.21168 + 6.91272i 0.438902 + 0.582156i
\(142\) −13.3422 + 7.70311i −1.11965 + 0.646430i
\(143\) 16.9234 7.75420i 1.41521 0.648438i
\(144\) −0.727143 2.91054i −0.0605953 0.242545i
\(145\) 3.11417 + 11.6222i 0.258617 + 0.965173i
\(146\) 8.29466i 0.686471i
\(147\) 12.0014 + 1.68379i 0.989856 + 0.138876i
\(148\) 1.95306 + 7.28892i 0.160541 + 0.599146i
\(149\) 4.31299 + 4.31299i 0.353334 + 0.353334i 0.861349 0.508014i \(-0.169620\pi\)
−0.508014 + 0.861349i \(0.669620\pi\)
\(150\) −7.44578 9.87602i −0.607945 0.806374i
\(151\) −2.90331 + 10.8353i −0.236268 + 0.881766i 0.741305 + 0.671169i \(0.234207\pi\)
−0.977573 + 0.210597i \(0.932459\pi\)
\(152\) −0.607458 + 0.350716i −0.0492714 + 0.0284468i
\(153\) 7.89721 7.63348i 0.638452 0.617130i
\(154\) −0.279755 + 0.0749601i −0.0225433 + 0.00604046i
\(155\) −10.3734 17.9673i −0.833215 1.44317i
\(156\) −5.31729 + 3.27512i −0.425724 + 0.262220i
\(157\) −6.52002 + 11.2930i −0.520354 + 0.901280i 0.479366 + 0.877615i \(0.340867\pi\)
−0.999720 + 0.0236645i \(0.992467\pi\)
\(158\) −1.43242 + 5.34588i −0.113958 + 0.425295i
\(159\) 4.15247 5.31751i 0.329312 0.421706i
\(160\) 3.01756 + 1.74219i 0.238559 + 0.137732i
\(161\) 0.229546 + 0.229546i 0.0180908 + 0.0180908i
\(162\) −8.60923 2.62320i −0.676405 0.206098i
\(163\) −1.44937 + 5.40913i −0.113524 + 0.423676i −0.999172 0.0406802i \(-0.987048\pi\)
0.885649 + 0.464356i \(0.153714\pi\)
\(164\) −2.91142 0.780112i −0.227343 0.0609165i
\(165\) −28.8874 + 11.6792i −2.24888 + 0.909225i
\(166\) −13.8306 + 7.98511i −1.07346 + 0.619765i
\(167\) 8.94898 + 2.39787i 0.692493 + 0.185553i 0.587866 0.808959i \(-0.299968\pi\)
0.104627 + 0.994512i \(0.466635\pi\)
\(168\) 0.0900783 0.0364188i 0.00694970 0.00280977i
\(169\) 9.84595 + 8.48865i 0.757381 + 0.652973i
\(170\) 12.7568i 0.978402i
\(171\) −0.0357291 + 2.10399i −0.00273228 + 0.160896i
\(172\) 2.71489 4.70232i 0.207008 0.358548i
\(173\) −4.92325 + 8.52731i −0.374307 + 0.648319i −0.990223 0.139493i \(-0.955453\pi\)
0.615916 + 0.787812i \(0.288786\pi\)
\(174\) −5.93635 + 0.730318i −0.450034 + 0.0553653i
\(175\) 0.283250 0.283250i 0.0214117 0.0214117i
\(176\) 3.65076 3.65076i 0.275187 0.275187i
\(177\) −1.81248 + 0.222980i −0.136234 + 0.0167602i
\(178\) 8.52292 14.7621i 0.638820 1.10647i
\(179\) 7.69779 13.3330i 0.575360 0.996553i −0.420642 0.907227i \(-0.638195\pi\)
0.996002 0.0893264i \(-0.0284714\pi\)
\(180\) 9.14010 5.07210i 0.681263 0.378052i
\(181\) 17.1903i 1.27774i 0.769314 + 0.638871i \(0.220598\pi\)
−0.769314 + 0.638871i \(0.779402\pi\)
\(182\) −0.128971 0.155805i −0.00955993 0.0115490i
\(183\) −4.82359 + 1.95018i −0.356570 + 0.144162i
\(184\) −5.58976 1.49777i −0.412082 0.110417i
\(185\) −22.7706 + 13.1466i −1.67413 + 0.966559i
\(186\) 9.56122 3.86561i 0.701062 0.283441i
\(187\) 18.2583 + 4.89229i 1.33518 + 0.357760i
\(188\) 1.29364 4.82793i 0.0943484 0.352113i
\(189\) 0.0453940 0.287929i 0.00330193 0.0209438i
\(190\) −1.72821 1.72821i −0.125377 0.125377i
\(191\) −7.39988 4.27232i −0.535436 0.309134i 0.207791 0.978173i \(-0.433373\pi\)
−0.743227 + 0.669039i \(0.766706\pi\)
\(192\) −1.06603 + 1.36513i −0.0769344 + 0.0985196i
\(193\) 0.157908 0.589319i 0.0113664 0.0424201i −0.960010 0.279967i \(-0.909677\pi\)
0.971376 + 0.237547i \(0.0763432\pi\)
\(194\) 1.15067 1.99301i 0.0826130 0.143090i
\(195\) −15.8181 14.9425i −1.13276 1.07006i
\(196\) −3.49843 6.05945i −0.249888 0.432818i
\(197\) 17.3239 4.64193i 1.23428 0.330724i 0.418035 0.908431i \(-0.362719\pi\)
0.816244 + 0.577707i \(0.196052\pi\)
\(198\) −3.75421 15.0270i −0.266800 1.06792i
\(199\) 17.2644 9.96763i 1.22384 0.706586i 0.258108 0.966116i \(-0.416901\pi\)
0.965735 + 0.259530i \(0.0835675\pi\)
\(200\) −1.84819 + 6.89754i −0.130687 + 0.487729i
\(201\) 11.3477 + 15.0515i 0.800404 + 1.06165i
\(202\) −2.49134 2.49134i −0.175290 0.175290i
\(203\) −0.0501363 0.187111i −0.00351888 0.0131326i
\(204\) −6.27979 0.881051i −0.439673 0.0616859i
\(205\) 10.5023i 0.733514i
\(206\) 1.55615 + 5.80763i 0.108422 + 0.404637i
\(207\) −12.4826 + 12.0658i −0.867602 + 0.838628i
\(208\) 3.37979 + 1.25580i 0.234346 + 0.0870738i
\(209\) −3.13628 + 1.81073i −0.216941 + 0.125251i
\(210\) 0.203807 + 0.270329i 0.0140641 + 0.0186544i
\(211\) −0.727198 1.25954i −0.0500623 0.0867105i 0.839908 0.542728i \(-0.182609\pi\)
−0.889971 + 0.456018i \(0.849275\pi\)
\(212\) −3.89525 −0.267527
\(213\) 21.3073 16.0641i 1.45995 1.10069i
\(214\) 4.35004 + 16.2346i 0.297363 + 1.10977i
\(215\) 18.2747 + 4.89669i 1.24632 + 0.333951i
\(216\) 1.86558 + 4.84970i 0.126937 + 0.329980i
\(217\) 0.167007 + 0.289264i 0.0113371 + 0.0196365i
\(218\) −19.8933 −1.34734
\(219\) −1.75424 14.2593i −0.118541 0.963552i
\(220\) 15.5795 + 8.99483i 1.05037 + 0.606432i
\(221\) 2.20527 + 13.0149i 0.148342 + 0.875480i
\(222\) −4.89903 12.1173i −0.328801 0.813258i
\(223\) −3.00391 + 3.00391i −0.201157 + 0.201157i −0.800496 0.599339i \(-0.795430\pi\)
0.599339 + 0.800496i \(0.295430\pi\)
\(224\) −0.0485810 0.0280482i −0.00324595 0.00187405i
\(225\) 14.8887 + 15.4031i 0.992577 + 1.02687i
\(226\) 13.8368 13.8368i 0.920408 0.920408i
\(227\) 22.5667 6.04673i 1.49780 0.401335i 0.585440 0.810716i \(-0.300922\pi\)
0.912364 + 0.409380i \(0.134255\pi\)
\(228\) 0.970102 0.731384i 0.0642466 0.0484371i
\(229\) 5.96935 1.59948i 0.394466 0.105697i −0.0561332 0.998423i \(-0.517877\pi\)
0.450599 + 0.892727i \(0.351210\pi\)
\(230\) 20.1639i 1.32957i
\(231\) 0.465071 0.188029i 0.0305994 0.0123714i
\(232\) 2.44178 + 2.44178i 0.160310 + 0.160310i
\(233\) 1.20969 0.0792497 0.0396249 0.999215i \(-0.487384\pi\)
0.0396249 + 0.999215i \(0.487384\pi\)
\(234\) 8.44825 6.75479i 0.552279 0.441574i
\(235\) 17.4157 1.13608
\(236\) 0.745519 + 0.745519i 0.0485292 + 0.0485292i
\(237\) 1.33186 9.49299i 0.0865138 0.616636i
\(238\) 0.205377i 0.0133126i
\(239\) 13.1345 3.51937i 0.849599 0.227649i 0.192353 0.981326i \(-0.438388\pi\)
0.657246 + 0.753676i \(0.271721\pi\)
\(240\) −5.55591 2.35679i −0.358632 0.152130i
\(241\) −6.88614 + 1.84513i −0.443575 + 0.118856i −0.473692 0.880691i \(-0.657079\pi\)
0.0301165 + 0.999546i \(0.490412\pi\)
\(242\) 11.0706 11.0706i 0.711642 0.711642i
\(243\) 15.3548 + 2.68874i 0.985013 + 0.172483i
\(244\) 2.60145 + 1.50195i 0.166541 + 0.0961524i
\(245\) 17.2390 17.2390i 1.10136 1.10136i
\(246\) 5.16997 + 0.725345i 0.329625 + 0.0462463i
\(247\) −2.06193 1.46442i −0.131198 0.0931789i
\(248\) −5.15654 2.97713i −0.327441 0.189048i
\(249\) 22.0873 16.6522i 1.39973 1.05529i
\(250\) −7.45953 −0.471782
\(251\) 2.50999 + 4.34744i 0.158429 + 0.274408i 0.934302 0.356481i \(-0.116024\pi\)
−0.775873 + 0.630889i \(0.782690\pi\)
\(252\) −0.147151 + 0.0816580i −0.00926962 + 0.00514397i
\(253\) −28.8597 7.73293i −1.81439 0.486165i
\(254\) −0.000742127 0.00276966i −4.65652e−5 0.000173784i
\(255\) −2.69795 21.9301i −0.168952 1.37332i
\(256\) 1.00000 0.0625000
\(257\) 2.47055 + 4.27912i 0.154109 + 0.266924i 0.932734 0.360565i \(-0.117416\pi\)
−0.778625 + 0.627489i \(0.784083\pi\)
\(258\) −3.67264 + 8.65788i −0.228648 + 0.539016i
\(259\) 0.366594 0.211653i 0.0227791 0.0131515i
\(260\) −1.17860 + 12.5077i −0.0730934 + 0.775693i
\(261\) 10.0507 2.51097i 0.622121 0.155425i
\(262\) −3.25148 12.1347i −0.200877 0.749684i
\(263\) 12.9065i 0.795849i −0.917418 0.397925i \(-0.869731\pi\)
0.917418 0.397925i \(-0.130269\pi\)
\(264\) −5.50389 + 7.04809i −0.338741 + 0.433780i
\(265\) −3.51282 13.1100i −0.215791 0.805342i
\(266\) 0.0278231 + 0.0278231i 0.00170595 + 0.00170595i
\(267\) −11.5296 + 27.1800i −0.705601 + 1.66339i
\(268\) 2.81672 10.5121i 0.172058 0.642131i
\(269\) −22.4600 + 12.9673i −1.36941 + 0.790630i −0.990853 0.134948i \(-0.956913\pi\)
−0.378558 + 0.925577i \(0.623580\pi\)
\(270\) −14.6400 + 10.6524i −0.890960 + 0.648287i
\(271\) −15.7870 + 4.23012i −0.958992 + 0.256961i −0.704174 0.710028i \(-0.748682\pi\)
−0.254819 + 0.966989i \(0.582016\pi\)
\(272\) 1.83057 + 3.17065i 0.110995 + 0.192249i
\(273\) 0.254663 + 0.240567i 0.0154129 + 0.0145598i
\(274\) 7.03116 12.1783i 0.424768 0.735719i
\(275\) −9.54212 + 35.6117i −0.575412 + 2.14747i
\(276\) 9.92606 + 1.39262i 0.597479 + 0.0838260i
\(277\) −14.7653 8.52472i −0.887158 0.512201i −0.0141462 0.999900i \(-0.504503\pi\)
−0.873012 + 0.487699i \(0.837836\pi\)
\(278\) 0.221952 + 0.221952i 0.0133118 + 0.0133118i
\(279\) −15.6191 + 8.66745i −0.935088 + 0.518907i
\(280\) 0.0505890 0.188801i 0.00302327 0.0112830i
\(281\) −3.85082 1.03182i −0.229721 0.0615535i 0.142122 0.989849i \(-0.454607\pi\)
−0.371843 + 0.928296i \(0.621274\pi\)
\(282\) −1.20282 + 8.57325i −0.0716270 + 0.510529i
\(283\) −15.7258 + 9.07928i −0.934801 + 0.539707i −0.888327 0.459212i \(-0.848132\pi\)
−0.0464740 + 0.998920i \(0.514798\pi\)
\(284\) −14.8813 3.98742i −0.883040 0.236610i
\(285\) 3.33644 + 2.60544i 0.197634 + 0.154333i
\(286\) 17.4497 + 6.48362i 1.03182 + 0.383385i
\(287\) 0.169081i 0.00998056i
\(288\) 1.54390 2.57223i 0.0909750 0.151570i
\(289\) 1.79800 3.11423i 0.105765 0.183190i
\(290\) −6.01611 + 10.4202i −0.353278 + 0.611895i
\(291\) −1.55659 + 3.66952i −0.0912492 + 0.215111i
\(292\) −5.86521 + 5.86521i −0.343235 + 0.343235i
\(293\) 14.4630 14.4630i 0.844940 0.844940i −0.144557 0.989497i \(-0.546176\pi\)
0.989497 + 0.144557i \(0.0461756\pi\)
\(294\) 7.29563 + 9.67686i 0.425490 + 0.564366i
\(295\) −1.83683 + 3.18148i −0.106944 + 0.185233i
\(296\) −3.77302 + 6.53507i −0.219303 + 0.379843i
\(297\) 9.63190 + 25.0388i 0.558900 + 1.45290i
\(298\) 6.09950i 0.353334i
\(299\) −3.48573 20.5719i −0.201585 1.18970i
\(300\) 1.71844 12.2484i 0.0992141 0.707159i
\(301\) −0.294212 0.0788339i −0.0169581 0.00454391i
\(302\) −9.71468 + 5.60877i −0.559017 + 0.322749i
\(303\) 4.80973 + 3.75594i 0.276312 + 0.215773i
\(304\) −0.677531 0.181544i −0.0388591 0.0104123i
\(305\) −2.70898 + 10.1101i −0.155116 + 0.578900i
\(306\) 10.9819 + 0.186489i 0.627791 + 0.0106609i
\(307\) −6.72055 6.72055i −0.383562 0.383562i 0.488822 0.872384i \(-0.337427\pi\)
−0.872384 + 0.488822i \(0.837427\pi\)
\(308\) −0.250821 0.144812i −0.0142919 0.00825142i
\(309\) −3.90342 9.65473i −0.222058 0.549238i
\(310\) 5.36969 20.0399i 0.304978 1.13819i
\(311\) −1.80968 + 3.13446i −0.102618 + 0.177739i −0.912762 0.408491i \(-0.866055\pi\)
0.810145 + 0.586230i \(0.199388\pi\)
\(312\) −6.07575 1.44403i −0.343972 0.0817522i
\(313\) −9.03947 15.6568i −0.510941 0.884975i −0.999920 0.0126797i \(-0.995964\pi\)
0.488979 0.872296i \(-0.337370\pi\)
\(314\) −12.5957 + 3.37501i −0.710817 + 0.190463i
\(315\) −0.407535 0.421616i −0.0229620 0.0237554i
\(316\) −4.79298 + 2.76723i −0.269626 + 0.155669i
\(317\) −2.76420 + 10.3161i −0.155253 + 0.579412i 0.843830 + 0.536610i \(0.180295\pi\)
−0.999084 + 0.0428025i \(0.986371\pi\)
\(318\) 6.69628 0.823809i 0.375509 0.0461969i
\(319\) 12.6068 + 12.6068i 0.705845 + 0.705845i
\(320\) 0.901822 + 3.36565i 0.0504134 + 0.188145i
\(321\) −10.9116 26.9887i −0.609025 1.50636i
\(322\) 0.324627i 0.0180908i
\(323\) −0.664659 2.48054i −0.0369826 0.138021i
\(324\) −4.23277 7.94252i −0.235154 0.441251i
\(325\) −25.3849 + 4.30125i −1.40810 + 0.238590i
\(326\) −4.84969 + 2.79997i −0.268600 + 0.155076i
\(327\) 34.1983 4.20724i 1.89117 0.232661i
\(328\) −1.50706 2.61030i −0.0832135 0.144130i
\(329\) −0.280384 −0.0154581
\(330\) −28.6849 12.1680i −1.57905 0.669827i
\(331\) −0.861097 3.21366i −0.0473301 0.176639i 0.938215 0.346054i \(-0.112479\pi\)
−0.985545 + 0.169416i \(0.945812\pi\)
\(332\) −15.4261 4.13340i −0.846615 0.226850i
\(333\) 10.9846 + 19.7946i 0.601950 + 1.08474i
\(334\) 4.63233 + 8.02344i 0.253470 + 0.439023i
\(335\) 37.9203 2.07181
\(336\) 0.0894470 + 0.0379430i 0.00487973 + 0.00206996i
\(337\) 2.50494 + 1.44623i 0.136453 + 0.0787811i 0.566672 0.823943i \(-0.308231\pi\)
−0.430220 + 0.902724i \(0.641564\pi\)
\(338\) 0.959757 + 12.9645i 0.0522039 + 0.705177i
\(339\) −20.8603 + 26.7130i −1.13298 + 1.45085i
\(340\) −9.02042 + 9.02042i −0.489201 + 0.489201i
\(341\) −26.6230 15.3708i −1.44172 0.832376i
\(342\) −1.51301 + 1.46248i −0.0818143 + 0.0790821i
\(343\) −0.555202 + 0.555202i −0.0299781 + 0.0299781i
\(344\) 5.24476 1.40533i 0.282778 0.0757702i
\(345\) 4.26447 + 34.6635i 0.229591 + 1.86622i
\(346\) −9.51098 + 2.54846i −0.511313 + 0.137006i
\(347\) 17.9932i 0.965923i 0.875642 + 0.482962i \(0.160439\pi\)
−0.875642 + 0.482962i \(0.839561\pi\)
\(348\) −4.71405 3.68122i −0.252699 0.197334i
\(349\) 18.3144 + 18.3144i 0.980348 + 0.980348i 0.999811 0.0194630i \(-0.00619566\pi\)
−0.0194630 + 0.999811i \(0.506196\pi\)
\(350\) 0.400577 0.0214117
\(351\) −13.0947 + 13.3988i −0.698945 + 0.715176i
\(352\) 5.16296 0.275187
\(353\) −2.10008 2.10008i −0.111776 0.111776i 0.649007 0.760783i \(-0.275185\pi\)
−0.760783 + 0.649007i \(0.775185\pi\)
\(354\) −1.43929 1.12394i −0.0764971 0.0597370i
\(355\) 53.6810i 2.84909i
\(356\) 16.4650 4.41179i 0.872645 0.233824i
\(357\) 0.0434354 + 0.353062i 0.00229885 + 0.0186860i
\(358\) 14.8710 3.98467i 0.785957 0.210596i
\(359\) 0.0334095 0.0334095i 0.00176329 0.00176329i −0.706225 0.707988i \(-0.749603\pi\)
0.707988 + 0.706225i \(0.249603\pi\)
\(360\) 10.0495 + 2.87651i 0.529658 + 0.151606i
\(361\) −16.0284 9.25400i −0.843600 0.487052i
\(362\) −12.1554 + 12.1554i −0.638871 + 0.638871i
\(363\) −16.6900 + 21.3726i −0.875996 + 1.12177i
\(364\) 0.0189747 0.201367i 0.000994546 0.0105545i
\(365\) −25.0296 14.4508i −1.31011 0.756392i
\(366\) −4.78978 2.03180i −0.250366 0.106204i
\(367\) −9.50010 −0.495901 −0.247951 0.968773i \(-0.579757\pi\)
−0.247951 + 0.968773i \(0.579757\pi\)
\(368\) −2.89347 5.01164i −0.150833 0.261250i
\(369\) −9.04106 0.153531i −0.470659 0.00799253i
\(370\) −25.3973 6.80519i −1.32034 0.353785i
\(371\) 0.0565545 + 0.211064i 0.00293616 + 0.0109579i
\(372\) 9.49420 + 4.02740i 0.492251 + 0.208811i
\(373\) 26.8580 1.39066 0.695328 0.718693i \(-0.255259\pi\)
0.695328 + 0.718693i \(0.255259\pi\)
\(374\) 9.45117 + 16.3699i 0.488709 + 0.846468i
\(375\) 12.8236 1.57762i 0.662208 0.0814681i
\(376\) 4.32861 2.49912i 0.223231 0.128882i
\(377\) −4.33651 + 11.6711i −0.223341 + 0.601090i
\(378\) 0.235695 0.171498i 0.0121229 0.00882093i
\(379\) 4.93097 + 18.4026i 0.253287 + 0.945279i 0.969036 + 0.246921i \(0.0794189\pi\)
−0.715749 + 0.698358i \(0.753914\pi\)
\(380\) 2.44405i 0.125377i
\(381\) 0.00186154 + 0.00460433i 9.53696e−5 + 0.000235887i
\(382\) −2.21152 8.25349i −0.113151 0.422285i
\(383\) −6.76886 6.76886i −0.345873 0.345873i 0.512697 0.858570i \(-0.328646\pi\)
−0.858570 + 0.512697i \(0.828646\pi\)
\(384\) −1.71909 + 0.211491i −0.0877270 + 0.0107926i
\(385\) 0.261189 0.974771i 0.0133114 0.0496789i
\(386\) 0.528369 0.305054i 0.0268933 0.0155268i
\(387\) 4.48253 15.6604i 0.227860 0.796064i
\(388\) 2.22292 0.595628i 0.112851 0.0302384i
\(389\) 4.60612 + 7.97804i 0.233540 + 0.404502i 0.958847 0.283922i \(-0.0916358\pi\)
−0.725308 + 0.688425i \(0.758302\pi\)
\(390\) −0.619146 21.7511i −0.0313517 1.10141i
\(391\) 10.5934 18.3484i 0.535733 0.927916i
\(392\) 1.81092 6.75844i 0.0914652 0.341353i
\(393\) 8.15597 + 20.1730i 0.411414 + 1.01759i
\(394\) 15.5322 + 8.96753i 0.782502 + 0.451777i
\(395\) −13.6359 13.6359i −0.686098 0.686098i
\(396\) 7.97107 13.2803i 0.400562 0.667362i
\(397\) 7.23488 27.0009i 0.363108 1.35514i −0.506859 0.862029i \(-0.669194\pi\)
0.869967 0.493110i \(-0.164140\pi\)
\(398\) 19.2560 + 5.15962i 0.965215 + 0.258629i
\(399\) −0.0537148 0.0419462i −0.00268910 0.00209993i
\(400\) −6.18416 + 3.57043i −0.309208 + 0.178521i
\(401\) −8.59039 2.30179i −0.428984 0.114946i 0.0378654 0.999283i \(-0.487944\pi\)
−0.466849 + 0.884337i \(0.654611\pi\)
\(402\) −2.61897 + 18.6670i −0.130623 + 0.931026i
\(403\) 2.01404 21.3737i 0.100327 1.06470i
\(404\) 3.52328i 0.175290i
\(405\) 22.9145 21.4087i 1.13863 1.06381i
\(406\) 0.0968559 0.167759i 0.00480688 0.00832576i
\(407\) −19.4800 + 33.7403i −0.965586 + 1.67244i
\(408\) −3.81748 5.06348i −0.188994 0.250680i
\(409\) −24.6479 + 24.6479i −1.21876 + 1.21876i −0.250692 + 0.968067i \(0.580658\pi\)
−0.968067 + 0.250692i \(0.919342\pi\)
\(410\) 7.42626 7.42626i 0.366757 0.366757i
\(411\) −9.51159 + 22.4227i −0.469172 + 1.10603i
\(412\) −3.00625 + 5.20698i −0.148107 + 0.256529i
\(413\) 0.0295719 0.0512200i 0.00145514 0.00252037i
\(414\) −17.3583 0.294772i −0.853115 0.0144872i
\(415\) 55.6462i 2.73157i
\(416\) 1.50189 + 3.27785i 0.0736362 + 0.160710i
\(417\) −0.428496 0.334614i −0.0209835 0.0163861i
\(418\) −3.49807 0.937304i −0.171096 0.0458450i
\(419\) 14.9055 8.60570i 0.728182 0.420416i −0.0895746 0.995980i \(-0.528551\pi\)
0.817757 + 0.575564i \(0.195217\pi\)
\(420\) −0.0470375 + 0.335265i −0.00229519 + 0.0163592i
\(421\) 3.68017 + 0.986098i 0.179360 + 0.0480595i 0.347381 0.937724i \(-0.387071\pi\)
−0.168021 + 0.985783i \(0.553738\pi\)
\(422\) 0.376425 1.40484i 0.0183241 0.0683864i
\(423\) 0.254598 14.9926i 0.0123790 0.728964i
\(424\) −2.75436 2.75436i −0.133763 0.133763i
\(425\) −22.6411 13.0719i −1.09826 0.634078i
\(426\) 26.4255 + 3.70749i 1.28032 + 0.179628i
\(427\) 0.0436131 0.162766i 0.00211059 0.00787681i
\(428\) −8.40363 + 14.5555i −0.406205 + 0.703568i
\(429\) −31.3689 7.45548i −1.51450 0.359954i
\(430\) 9.45967 + 16.3846i 0.456186 + 0.790137i
\(431\) −20.9081 + 5.60231i −1.00711 + 0.269854i −0.724420 0.689358i \(-0.757893\pi\)
−0.282687 + 0.959212i \(0.591226\pi\)
\(432\) −2.11009 + 4.74842i −0.101522 + 0.228459i
\(433\) 15.1421 8.74227i 0.727681 0.420127i −0.0898923 0.995951i \(-0.528652\pi\)
0.817573 + 0.575825i \(0.195319\pi\)
\(434\) −0.0864490 + 0.322632i −0.00414968 + 0.0154868i
\(435\) 8.13845 19.1856i 0.390209 0.919880i
\(436\) −14.0667 14.0667i −0.673671 0.673671i
\(437\) 1.05058 + 3.92084i 0.0502563 + 0.187559i
\(438\) 8.84239 11.3233i 0.422506 0.541046i
\(439\) 6.29999i 0.300682i 0.988634 + 0.150341i \(0.0480372\pi\)
−0.988634 + 0.150341i \(0.951963\pi\)
\(440\) 4.65607 + 17.3767i 0.221969 + 0.828401i
\(441\) −14.5884 15.0924i −0.694686 0.718688i
\(442\) −7.64360 + 10.7623i −0.363569 + 0.511911i
\(443\) −13.9547 + 8.05675i −0.663007 + 0.382788i −0.793422 0.608672i \(-0.791703\pi\)
0.130414 + 0.991460i \(0.458369\pi\)
\(444\) 5.10406 12.0323i 0.242228 0.571029i
\(445\) 29.6970 + 51.4368i 1.40778 + 2.43834i
\(446\) −4.24818 −0.201157
\(447\) −1.28999 10.4856i −0.0610143 0.495951i
\(448\) −0.0145188 0.0541850i −0.000685950 0.00256000i
\(449\) −18.3173 4.90811i −0.864447 0.231628i −0.200762 0.979640i \(-0.564342\pi\)
−0.663685 + 0.748012i \(0.731009\pi\)
\(450\) −0.363737 + 21.4195i −0.0171467 + 1.00972i
\(451\) −7.78089 13.4769i −0.366388 0.634602i
\(452\) 19.5681 0.920408
\(453\) 15.5142 11.6966i 0.728921 0.549552i
\(454\) 20.2327 + 11.6814i 0.949570 + 0.548234i
\(455\) 0.694841 0.117735i 0.0325746 0.00551949i
\(456\) 1.20313 + 0.168799i 0.0563418 + 0.00790473i
\(457\) −11.9721 + 11.9721i −0.560032 + 0.560032i −0.929316 0.369285i \(-0.879603\pi\)
0.369285 + 0.929316i \(0.379603\pi\)
\(458\) 5.35197 + 3.08996i 0.250081 + 0.144384i
\(459\) −18.9182 + 2.00197i −0.883028 + 0.0934439i
\(460\) 14.2580 14.2580i 0.664783 0.664783i
\(461\) 12.5113 3.35240i 0.582711 0.156137i 0.0445913 0.999005i \(-0.485801\pi\)
0.538120 + 0.842868i \(0.319135\pi\)
\(462\) 0.461811 + 0.195898i 0.0214854 + 0.00911401i
\(463\) 17.0527 4.56925i 0.792505 0.212351i 0.160214 0.987082i \(-0.448782\pi\)
0.632291 + 0.774731i \(0.282115\pi\)
\(464\) 3.45319i 0.160310i
\(465\) −4.99271 + 35.5861i −0.231532 + 1.65027i
\(466\) 0.855383 + 0.855383i 0.0396249 + 0.0396249i
\(467\) 21.1177 0.977210 0.488605 0.872505i \(-0.337506\pi\)
0.488605 + 0.872505i \(0.337506\pi\)
\(468\) 10.7502 + 1.19746i 0.496927 + 0.0553524i
\(469\) −0.610496 −0.0281901
\(470\) 12.3148 + 12.3148i 0.568039 + 0.568039i
\(471\) 20.9394 8.46582i 0.964835 0.390084i
\(472\) 1.05432i 0.0485292i
\(473\) 27.0784 7.25565i 1.24507 0.333615i
\(474\) 7.65433 5.77079i 0.351575 0.265061i
\(475\) 4.83815 1.29638i 0.221990 0.0594820i
\(476\) 0.145224 0.145224i 0.00665632 0.00665632i
\(477\) −11.3373 + 2.83240i −0.519099 + 0.129687i
\(478\) 11.7761 + 6.79891i 0.538624 + 0.310975i
\(479\) −10.8748 + 10.8748i −0.496883 + 0.496883i −0.910466 0.413583i \(-0.864277\pi\)
0.413583 + 0.910466i \(0.364277\pi\)
\(480\) −2.26212 5.59512i −0.103251 0.255381i
\(481\) −27.0877 2.55246i −1.23509 0.116382i
\(482\) −6.17394 3.56453i −0.281215 0.162360i
\(483\) −0.0686556 0.558063i −0.00312394 0.0253928i
\(484\) 15.6561 0.711642
\(485\) 4.00935 + 6.94439i 0.182055 + 0.315329i
\(486\) 8.95628 + 12.7587i 0.406265 + 0.578748i
\(487\) −15.1707 4.06498i −0.687450 0.184202i −0.101848 0.994800i \(-0.532475\pi\)
−0.585603 + 0.810598i \(0.699142\pi\)
\(488\) 0.777466 + 2.90154i 0.0351942 + 0.131347i
\(489\) 7.74489 5.83907i 0.350236 0.264052i
\(490\) 24.3796 1.10136
\(491\) −3.19734 5.53796i −0.144294 0.249925i 0.784815 0.619730i \(-0.212758\pi\)
−0.929109 + 0.369805i \(0.879424\pi\)
\(492\) 3.14283 + 4.16862i 0.141690 + 0.187936i
\(493\) −10.9489 + 6.32132i −0.493112 + 0.284698i
\(494\) −0.422503 2.49351i −0.0190093 0.112188i
\(495\) 51.8854 + 14.8513i 2.33207 + 0.667517i
\(496\) −1.54108 5.75138i −0.0691964 0.258245i
\(497\) 0.864234i 0.0387662i
\(498\) 27.3930 + 3.84322i 1.22751 + 0.172219i
\(499\) −1.98095 7.39299i −0.0886794 0.330956i 0.907306 0.420471i \(-0.138135\pi\)
−0.995985 + 0.0895148i \(0.971468\pi\)
\(500\) −5.27469 5.27469i −0.235891 0.235891i
\(501\) −9.66028 12.8133i −0.431590 0.572457i
\(502\) −1.29927 + 4.84894i −0.0579892 + 0.216419i
\(503\) 6.97222 4.02541i 0.310876 0.179484i −0.336442 0.941704i \(-0.609224\pi\)
0.647318 + 0.762220i \(0.275890\pi\)
\(504\) −0.161792 0.0463103i −0.00720679 0.00206282i
\(505\) 11.8581 3.17737i 0.527679 0.141391i
\(506\) −14.9389 25.8749i −0.664114 1.15028i
\(507\) −4.39179 22.0842i −0.195046 0.980794i
\(508\) 0.00143368 0.00248320i 6.36092e−5 0.000110174i
\(509\) −8.37966 + 31.2733i −0.371422 + 1.38617i 0.487081 + 0.873357i \(0.338062\pi\)
−0.858503 + 0.512809i \(0.828605\pi\)
\(510\) 13.5992 17.4147i 0.602182 0.771134i
\(511\) 0.402962 + 0.232651i 0.0178260 + 0.0102919i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 2.29170 2.83413i 0.101181 0.125130i
\(514\) −1.27885 + 4.77274i −0.0564077 + 0.210517i
\(515\) −20.2359 5.42221i −0.891702 0.238931i
\(516\) −8.71899 + 3.52510i −0.383832 + 0.155184i
\(517\) 22.3484 12.9029i 0.982882 0.567467i
\(518\) 0.408883 + 0.109560i 0.0179653 + 0.00481378i
\(519\) 15.8113 6.39252i 0.694037 0.280600i
\(520\) −9.67766 + 8.01087i −0.424393 + 0.351300i
\(521\) 3.95332i 0.173198i −0.996243 0.0865990i \(-0.972400\pi\)
0.996243 0.0865990i \(-0.0275999\pi\)
\(522\) 8.88242 + 5.33137i 0.388773 + 0.233348i
\(523\) −19.7397 + 34.1901i −0.863155 + 1.49503i 0.00571276 + 0.999984i \(0.498182\pi\)
−0.868868 + 0.495044i \(0.835152\pi\)
\(524\) 6.28138 10.8797i 0.274403 0.475281i
\(525\) −0.688627 + 0.0847183i −0.0300542 + 0.00369741i
\(526\) 9.12628 9.12628i 0.397925 0.397925i
\(527\) 15.4145 15.4145i 0.671468 0.671468i
\(528\) −8.87559 + 1.09192i −0.386261 + 0.0475196i
\(529\) −5.24435 + 9.08349i −0.228015 + 0.394934i
\(530\) 6.78625 11.7541i 0.294776 0.510567i
\(531\) 2.71197 + 1.62777i 0.117689 + 0.0706390i
\(532\) 0.0393479i 0.00170595i
\(533\) 6.29276 8.86031i 0.272570 0.383783i
\(534\) −27.3718 + 11.0665i −1.18449 + 0.478893i
\(535\) −56.5673 15.1572i −2.44562 0.655301i
\(536\) 9.42492 5.44148i 0.407095 0.235036i
\(537\) −24.7219 + 9.99509i −1.06683 + 0.431320i
\(538\) −25.0509 6.71236i −1.08002 0.289391i
\(539\) 9.34970 34.8935i 0.402720 1.50297i
\(540\) −17.8844 2.81960i −0.769623 0.121336i
\(541\) 8.65093 + 8.65093i 0.371933 + 0.371933i 0.868181 0.496248i \(-0.165289\pi\)
−0.496248 + 0.868181i \(0.665289\pi\)
\(542\) −14.1542 8.17196i −0.607977 0.351016i
\(543\) 18.3254 23.4669i 0.786419 1.00706i
\(544\) −0.947575 + 3.53640i −0.0406269 + 0.151622i
\(545\) 34.6578 60.0291i 1.48458 2.57136i
\(546\) 0.00996791 + 0.350180i 0.000426587 + 0.0149863i
\(547\) 12.5519 + 21.7406i 0.536681 + 0.929559i 0.999080 + 0.0428870i \(0.0136556\pi\)
−0.462399 + 0.886672i \(0.653011\pi\)
\(548\) 13.5832 3.63959i 0.580243 0.155476i
\(549\) 8.66377 + 2.47986i 0.369761 + 0.105838i
\(550\) −31.9286 + 18.4340i −1.36144 + 0.786027i
\(551\) 0.626906 2.33965i 0.0267071 0.0996723i
\(552\) 6.03405 + 8.00352i 0.256826 + 0.340652i
\(553\) 0.219531 + 0.219531i 0.00933541 + 0.00933541i
\(554\) −4.41272 16.4685i −0.187479 0.699680i
\(555\) 45.0995 + 6.32744i 1.91437 + 0.268585i
\(556\) 0.313887i 0.0133118i
\(557\) −2.76078 10.3034i −0.116978 0.436567i 0.882449 0.470407i \(-0.155893\pi\)
−0.999427 + 0.0338399i \(0.989226\pi\)
\(558\) −17.1731 4.91553i −0.726997 0.208091i
\(559\) 12.4835 + 15.0809i 0.527996 + 0.637854i
\(560\) 0.169274 0.0977305i 0.00715314 0.00412987i
\(561\) −19.7095 26.1425i −0.832136 1.10374i
\(562\) −1.99333 3.45255i −0.0840836 0.145637i
\(563\) −29.8646 −1.25864 −0.629322 0.777144i \(-0.716667\pi\)
−0.629322 + 0.777144i \(0.716667\pi\)
\(564\) −6.91272 + 5.21168i −0.291078 + 0.219451i
\(565\) 17.6470 + 65.8594i 0.742414 + 2.77073i
\(566\) −17.5398 4.69978i −0.737254 0.197547i
\(567\) −0.368911 + 0.344669i −0.0154928 + 0.0144747i
\(568\) −7.70311 13.3422i −0.323215 0.559825i
\(569\) 45.0588 1.88896 0.944482 0.328563i \(-0.106564\pi\)
0.944482 + 0.328563i \(0.106564\pi\)
\(570\) 0.516894 + 4.20154i 0.0216503 + 0.175983i
\(571\) 23.2043 + 13.3970i 0.971071 + 0.560648i 0.899562 0.436792i \(-0.143885\pi\)
0.0715081 + 0.997440i \(0.477219\pi\)
\(572\) 7.75420 + 16.9234i 0.324219 + 0.707604i
\(573\) 5.54733 + 13.7208i 0.231743 + 0.573194i
\(574\) −0.119559 + 0.119559i −0.00499028 + 0.00499028i
\(575\) 35.7874 + 20.6619i 1.49244 + 0.861659i
\(576\) 2.91054 0.727143i 0.121273 0.0302976i
\(577\) −20.9051 + 20.9051i −0.870292 + 0.870292i −0.992504 0.122212i \(-0.961001\pi\)
0.122212 + 0.992504i \(0.461001\pi\)
\(578\) 3.47347 0.930713i 0.144477 0.0387126i
\(579\) −0.843798 + 0.636160i −0.0350670 + 0.0264379i
\(580\) −11.6222 + 3.11417i −0.482587 + 0.129309i
\(581\) 0.895873i 0.0371671i
\(582\) −3.69542 + 1.49406i −0.153180 + 0.0619310i
\(583\) −14.2206 14.2206i −0.588958 0.588958i
\(584\) −8.29466 −0.343235
\(585\) 5.66452 + 37.2611i 0.234199 + 1.54056i
\(586\) 20.4538 0.844940
\(587\) −17.7153 17.7153i −0.731190 0.731190i 0.239665 0.970856i \(-0.422962\pi\)
−0.970856 + 0.239665i \(0.922962\pi\)
\(588\) −1.68379 + 12.0014i −0.0694381 + 0.494928i
\(589\) 4.17651i 0.172090i
\(590\) −3.54848 + 0.950812i −0.146089 + 0.0391443i
\(591\) −28.5978 12.1311i −1.17636 0.499005i
\(592\) −7.28892 + 1.95306i −0.299573 + 0.0802703i
\(593\) −13.5809 + 13.5809i −0.557700 + 0.557700i −0.928652 0.370952i \(-0.879031\pi\)
0.370952 + 0.928652i \(0.379031\pi\)
\(594\) −10.8943 + 24.5159i −0.447000 + 1.00590i
\(595\) 0.619738 + 0.357806i 0.0254068 + 0.0146686i
\(596\) −4.31299 + 4.31299i −0.176667 + 0.176667i
\(597\) −34.1940 4.79740i −1.39947 0.196344i
\(598\) 12.0817 17.0113i 0.494059 0.695644i
\(599\) 12.8779 + 7.43506i 0.526176 + 0.303788i 0.739458 0.673203i \(-0.235082\pi\)
−0.213282 + 0.976991i \(0.568415\pi\)
\(600\) 9.87602 7.44578i 0.403187 0.303973i
\(601\) −23.1090 −0.942636 −0.471318 0.881963i \(-0.656222\pi\)
−0.471318 + 0.881963i \(0.656222\pi\)
\(602\) −0.152295 0.263783i −0.00620710 0.0107510i
\(603\) 0.554350 32.6442i 0.0225749 1.32937i
\(604\) −10.8353 2.90331i −0.440883 0.118134i
\(605\) 14.1190 + 52.6930i 0.574021 + 2.14228i
\(606\) 0.745142 + 6.05684i 0.0302693 + 0.246042i
\(607\) 29.8697 1.21238 0.606188 0.795322i \(-0.292698\pi\)
0.606188 + 0.795322i \(0.292698\pi\)
\(608\) −0.350716 0.607458i −0.0142234 0.0246357i
\(609\) −0.131025 + 0.308878i −0.00530938 + 0.0125164i
\(610\) −9.06443 + 5.23335i −0.367008 + 0.211892i
\(611\) 14.6928 + 10.4351i 0.594409 + 0.422160i
\(612\) 7.63348 + 7.89721i 0.308565 + 0.319226i
\(613\) −8.88349 33.1536i −0.358801 1.33906i −0.875633 0.482977i \(-0.839556\pi\)
0.516832 0.856087i \(-0.327111\pi\)
\(614\) 9.50429i 0.383562i
\(615\) −11.1958 + 14.3370i −0.451459 + 0.578124i
\(616\) −0.0749601 0.279755i −0.00302023 0.0112716i
\(617\) 1.94352 + 1.94352i 0.0782432 + 0.0782432i 0.745145 0.666902i \(-0.232380\pi\)
−0.666902 + 0.745145i \(0.732380\pi\)
\(618\) 4.06679 9.58706i 0.163590 0.385648i
\(619\) 4.73494 17.6710i 0.190313 0.710259i −0.803117 0.595821i \(-0.796827\pi\)
0.993430 0.114438i \(-0.0365066\pi\)
\(620\) 17.9673 10.3734i 0.721585 0.416607i
\(621\) 29.9029 3.16439i 1.19996 0.126982i
\(622\) −3.49603 + 0.936759i −0.140178 + 0.0375606i
\(623\) −0.478106 0.828104i −0.0191549 0.0331773i
\(624\) −3.27512 5.31729i −0.131110 0.212862i
\(625\) −4.85624 + 8.41125i −0.194250 + 0.336450i
\(626\) 4.67917 17.4629i 0.187017 0.697958i
\(627\) 6.21172 + 0.871502i 0.248072 + 0.0348044i
\(628\) −11.2930 6.52002i −0.450640 0.260177i
\(629\) −19.5354 19.5354i −0.778927 0.778927i
\(630\) 0.00995627 0.586298i 0.000396667 0.0233587i
\(631\) −8.90171 + 33.2216i −0.354371 + 1.32253i 0.526902 + 0.849926i \(0.323353\pi\)
−0.881274 + 0.472606i \(0.843313\pi\)
\(632\) −5.34588 1.43242i −0.212648 0.0569788i
\(633\) −0.349999 + 2.49465i −0.0139112 + 0.0991536i
\(634\) −9.24920 + 5.34003i −0.367333 + 0.212080i
\(635\) 0.00965051 + 0.00258585i 0.000382969 + 0.000102616i
\(636\) 5.31751 + 4.15247i 0.210853 + 0.164656i
\(637\) 24.8730 4.21451i 0.985503 0.166985i
\(638\) 17.8287i 0.705845i
\(639\) −46.2120 0.784753i −1.82812 0.0310443i
\(640\) −1.74219 + 3.01756i −0.0688660 + 0.119279i
\(641\) −6.77781 + 11.7395i −0.267707 + 0.463683i −0.968269 0.249909i \(-0.919599\pi\)
0.700562 + 0.713592i \(0.252933\pi\)
\(642\) 11.3682 26.7995i 0.448669 1.05769i
\(643\) 28.1744 28.1744i 1.11109 1.11109i 0.118088 0.993003i \(-0.462324\pi\)
0.993003 0.118088i \(-0.0376765\pi\)
\(644\) −0.229546 + 0.229546i −0.00904538 + 0.00904538i
\(645\) −19.7272 26.1660i −0.776759 1.03029i
\(646\) 1.28402 2.22399i 0.0505192 0.0875019i
\(647\) −11.0797 + 19.1906i −0.435588 + 0.754460i −0.997343 0.0728432i \(-0.976793\pi\)
0.561756 + 0.827303i \(0.310126\pi\)
\(648\) 2.62320 8.60923i 0.103049 0.338202i
\(649\) 5.44343i 0.213673i
\(650\) −20.9913 14.9084i −0.823345 0.584755i
\(651\) 0.0803799 0.572917i 0.00315034 0.0224544i
\(652\) −5.40913 1.44937i −0.211838 0.0567618i
\(653\) −29.5307 + 17.0495i −1.15562 + 0.667200i −0.950251 0.311484i \(-0.899174\pi\)
−0.205372 + 0.978684i \(0.565841\pi\)
\(654\) 27.1568 + 21.2069i 1.06192 + 0.829256i
\(655\) 42.2818 + 11.3294i 1.65209 + 0.442675i
\(656\) 0.780112 2.91142i 0.0304582 0.113672i
\(657\) −12.8061 + 21.3358i −0.499613 + 0.832389i
\(658\) −0.198261 0.198261i −0.00772903 0.00772903i
\(659\) 4.93704 + 2.85040i 0.192320 + 0.111036i 0.593068 0.805152i \(-0.297916\pi\)
−0.400748 + 0.916188i \(0.631250\pi\)
\(660\) −11.6792 28.8874i −0.454613 1.12444i
\(661\) 2.37504 8.86377i 0.0923783 0.344761i −0.904231 0.427044i \(-0.859555\pi\)
0.996609 + 0.0822839i \(0.0262214\pi\)
\(662\) 1.66351 2.88129i 0.0646542 0.111984i
\(663\) 10.8639 20.1179i 0.421919 0.781316i
\(664\) −7.98511 13.8306i −0.309882 0.536732i
\(665\) −0.132431 + 0.0354848i −0.00513545 + 0.00137604i
\(666\) −6.22962 + 21.7641i −0.241393 + 0.843343i
\(667\) 17.3062 9.99171i 0.670097 0.386881i
\(668\) −2.39787 + 8.94898i −0.0927765 + 0.346246i
\(669\) 7.30300 0.898450i 0.282350 0.0347361i
\(670\) 26.8137 + 26.8137i 1.03590 + 1.03590i
\(671\) 4.01402 + 14.9805i 0.154960 + 0.578318i
\(672\) 0.0364188 + 0.0900783i 0.00140489 + 0.00347485i
\(673\) 30.8722i 1.19004i 0.803713 + 0.595018i \(0.202855\pi\)
−0.803713 + 0.595018i \(0.797145\pi\)
\(674\) 0.748623 + 2.79390i 0.0288359 + 0.107617i
\(675\) −3.90472 36.8989i −0.150293 1.42024i
\(676\) −8.48865 + 9.84595i −0.326487 + 0.378691i
\(677\) −3.80387 + 2.19617i −0.146195 + 0.0844055i −0.571313 0.820732i \(-0.693566\pi\)
0.425118 + 0.905138i \(0.360232\pi\)
\(678\) −33.6394 + 4.13848i −1.29191 + 0.158937i
\(679\) −0.0645483 0.111801i −0.00247714 0.00429052i
\(680\) −12.7568 −0.489201
\(681\) −37.2524 15.8023i −1.42752 0.605546i
\(682\) −7.95652 29.6941i −0.304671 1.13705i
\(683\) 11.2191 + 3.00615i 0.429287 + 0.115027i 0.466991 0.884262i \(-0.345338\pi\)
−0.0377045 + 0.999289i \(0.512005\pi\)
\(684\) −2.10399 0.0357291i −0.0804482 0.00136614i
\(685\) 24.4992 + 42.4338i 0.936065 + 1.62131i
\(686\) −0.785174 −0.0299781
\(687\) −9.85402 4.18003i −0.375954 0.159478i
\(688\) 4.70232 + 2.71489i 0.179274 + 0.103504i
\(689\) 4.89164 13.1651i 0.186356 0.501551i
\(690\) −21.4954 + 27.5262i −0.818315 + 1.04791i
\(691\) 7.51539 7.51539i 0.285899 0.285899i −0.549557 0.835456i \(-0.685204\pi\)
0.835456 + 0.549557i \(0.185204\pi\)
\(692\) −8.52731 4.92325i −0.324160 0.187154i
\(693\) −0.835326 0.239098i −0.0317314 0.00908258i
\(694\) −12.7231 + 12.7231i −0.482962 + 0.482962i
\(695\) −1.05643 + 0.283070i −0.0400728 + 0.0107375i
\(696\) −0.730318 5.93635i −0.0276826 0.225017i
\(697\) 10.6591 2.85610i 0.403743 0.108183i
\(698\) 25.9005i 0.980348i
\(699\) −1.65139 1.28958i −0.0624612 0.0487762i
\(700\) 0.283250 + 0.283250i 0.0107059 + 0.0107059i
\(701\) 10.2778 0.388185 0.194093 0.980983i \(-0.437824\pi\)
0.194093 + 0.980983i \(0.437824\pi\)
\(702\) −18.7338 + 0.215025i −0.707060 + 0.00811560i
\(703\) 5.29304 0.199631
\(704\) 3.65076 + 3.65076i 0.137593 + 0.137593i
\(705\) −23.7747 18.5658i −0.895407 0.699227i
\(706\) 2.96995i 0.111776i
\(707\) −0.190909 + 0.0511539i −0.00717988 + 0.00192384i
\(708\) −0.222980 1.81248i −0.00838009 0.0681171i
\(709\) 35.0211 9.38387i 1.31524 0.352419i 0.468050 0.883702i \(-0.344957\pi\)
0.847194 + 0.531283i \(0.178290\pi\)
\(710\) 37.9582 37.9582i 1.42455 1.42455i
\(711\) −11.9380 + 11.5393i −0.447711 + 0.432759i
\(712\) 14.7621 + 8.52292i 0.553235 + 0.319410i
\(713\) −24.3648 + 24.3648i −0.912468 + 0.912468i
\(714\) −0.218939 + 0.280366i −0.00819360 + 0.0104924i
\(715\) −49.9653 + 41.3598i −1.86860 + 1.54677i
\(716\) 13.3330 + 7.69779i 0.498276 + 0.287680i
\(717\) −21.6820 9.19741i −0.809729 0.343484i
\(718\) 0.0472482 0.00176329
\(719\) 0.703567 + 1.21861i 0.0262386 + 0.0454466i 0.878847 0.477105i \(-0.158314\pi\)
−0.852608 + 0.522551i \(0.824980\pi\)
\(720\) 5.07210 + 9.14010i 0.189026 + 0.340632i
\(721\) 0.325787 + 0.0872945i 0.0121330 + 0.00325102i
\(722\) −4.79022 17.8773i −0.178274 0.665326i
\(723\) 11.3674 + 4.82201i 0.422759 + 0.179333i
\(724\) −17.1903 −0.638871
\(725\) −12.3294 21.3551i −0.457901 0.793108i
\(726\) −26.9143 + 3.31113i −0.998884 + 0.122887i
\(727\) −32.7077 + 18.8838i −1.21306 + 0.700361i −0.963425 0.267978i \(-0.913644\pi\)
−0.249636 + 0.968340i \(0.580311\pi\)
\(728\) 0.155805 0.128971i 0.00577451 0.00477997i
\(729\) −18.0950 20.0392i −0.670185 0.742194i
\(730\) −7.48031 27.9169i −0.276859 1.03325i
\(731\) 19.8792i 0.735258i
\(732\) −1.95018 4.82359i −0.0720809 0.178285i
\(733\) −8.62288 32.1810i −0.318493 1.18863i −0.920693 0.390288i \(-0.872375\pi\)
0.602199 0.798346i \(-0.294291\pi\)
\(734\) −6.71759 6.71759i −0.247951 0.247951i
\(735\) −41.9108 + 5.15607i −1.54590 + 0.190184i
\(736\) 1.49777 5.58976i 0.0552086 0.206041i
\(737\) 48.6605 28.0941i 1.79243 1.03486i
\(738\) −6.28443 6.50156i −0.231333 0.239326i
\(739\) −23.0630 + 6.17972i −0.848388 + 0.227325i −0.656719 0.754135i \(-0.728056\pi\)
−0.191668 + 0.981460i \(0.561390\pi\)
\(740\) −13.1466 22.7706i −0.483280 0.837065i
\(741\) 1.25368 + 4.19721i 0.0460549 + 0.154188i
\(742\) −0.109255 + 0.189235i −0.00401087 + 0.00694703i
\(743\) −3.12072 + 11.6467i −0.114488 + 0.427275i −0.999248 0.0387716i \(-0.987656\pi\)
0.884760 + 0.466047i \(0.154322\pi\)
\(744\) 3.86561 + 9.56122i 0.141720 + 0.350531i
\(745\) −18.4056 10.6265i −0.674328 0.389323i
\(746\) 18.9915 + 18.9915i 0.695328 + 0.695328i
\(747\) −47.9038 0.813482i −1.75271 0.0297637i
\(748\) −4.89229 + 18.2583i −0.178880 + 0.667588i
\(749\) 0.910702 + 0.244022i 0.0332763 + 0.00891637i
\(750\) 10.1832 + 7.95212i 0.371838 + 0.290370i
\(751\) 26.0668 15.0497i 0.951192 0.549171i 0.0577408 0.998332i \(-0.481610\pi\)
0.893451 + 0.449161i \(0.148277\pi\)
\(752\) 4.82793 + 1.29364i 0.176057 + 0.0471742i
\(753\) 1.20805 8.61054i 0.0440240 0.313786i
\(754\) −11.3191 + 5.18632i −0.412216 + 0.188875i
\(755\) 39.0861i 1.42249i
\(756\) 0.287929 + 0.0453940i 0.0104719 + 0.00165096i
\(757\) 25.3503 43.9080i 0.921371 1.59586i 0.124076 0.992273i \(-0.460403\pi\)
0.797296 0.603589i \(-0.206263\pi\)
\(758\) −9.52590 + 16.4993i −0.345996 + 0.599283i
\(759\) 31.1536 + 41.3218i 1.13080 + 1.49989i
\(760\) 1.72821 1.72821i 0.0626886 0.0626886i
\(761\) 10.5364 10.5364i 0.381943 0.381943i −0.489859 0.871802i \(-0.662952\pi\)
0.871802 + 0.489859i \(0.162952\pi\)
\(762\) −0.00193945 + 0.00457206i −7.02588e−5 + 0.000165628i
\(763\) −0.557971 + 0.966434i −0.0201999 + 0.0349873i
\(764\) 4.27232 7.39988i 0.154567 0.267718i
\(765\) −19.6952 + 32.8135i −0.712081 + 1.18637i
\(766\) 9.57262i 0.345873i
\(767\) −3.45592 + 1.58348i −0.124786 + 0.0571761i
\(768\) −1.36513 1.06603i −0.0492598 0.0384672i
\(769\)