Properties

Label 378.2.u.d.43.1
Level $378$
Weight $2$
Character 378.43
Analytic conductor $3.018$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [378,2,Mod(43,378)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(378, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([4, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("378.43");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 378 = 2 \cdot 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 378.u (of order \(9\), degree \(6\), 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: \(3.01834519640\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(5\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.1
Character \(\chi\) \(=\) 378.43
Dual form 378.2.u.d.211.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.766044 + 0.642788i) q^{2} +(-1.62854 - 0.589807i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-1.36620 - 0.497255i) q^{5} +(-0.868410 - 1.49862i) q^{6} +(-0.173648 + 0.984808i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.30426 + 1.92104i) q^{9} +O(q^{10})\) \(q+(0.766044 + 0.642788i) q^{2} +(-1.62854 - 0.589807i) q^{3} +(0.173648 + 0.984808i) q^{4} +(-1.36620 - 0.497255i) q^{5} +(-0.868410 - 1.49862i) q^{6} +(-0.173648 + 0.984808i) q^{7} +(-0.500000 + 0.866025i) q^{8} +(2.30426 + 1.92104i) q^{9} +(-0.726937 - 1.25909i) q^{10} +(-1.57538 + 0.573391i) q^{11} +(0.298054 - 1.70621i) q^{12} +(-4.94978 + 4.15336i) q^{13} +(-0.766044 + 0.642788i) q^{14} +(1.93161 + 1.61559i) q^{15} +(-0.939693 + 0.342020i) q^{16} +(-2.56522 - 4.44309i) q^{17} +(0.530341 + 2.95275i) q^{18} +(-2.75512 + 4.77200i) q^{19} +(0.252463 - 1.43179i) q^{20} +(0.863638 - 1.50138i) q^{21} +(-1.57538 - 0.573391i) q^{22} +(0.955045 + 5.41633i) q^{23} +(1.32506 - 1.11545i) q^{24} +(-2.21099 - 1.85524i) q^{25} -6.46148 q^{26} +(-2.61952 - 4.48755i) q^{27} -1.00000 q^{28} +(0.505252 + 0.423957i) q^{29} +(0.441222 + 2.47923i) q^{30} +(0.857588 + 4.86362i) q^{31} +(-0.939693 - 0.342020i) q^{32} +(2.90375 - 0.00461883i) q^{33} +(0.890891 - 5.05249i) q^{34} +(0.726937 - 1.25909i) q^{35} +(-1.49173 + 2.60283i) q^{36} +(-0.900740 - 1.56013i) q^{37} +(-5.17792 + 1.88461i) q^{38} +(10.5106 - 3.84448i) q^{39} +(1.11373 - 0.934533i) q^{40} +(6.89729 - 5.78752i) q^{41} +(1.62665 - 0.594984i) q^{42} +(4.80515 - 1.74893i) q^{43} +(-0.838241 - 1.45188i) q^{44} +(-2.19282 - 3.77032i) q^{45} +(-2.74994 + 4.76304i) q^{46} +(0.00405207 - 0.0229804i) q^{47} +(1.73205 - 0.00275507i) q^{48} +(-0.939693 - 0.342020i) q^{49} +(-0.501192 - 2.84240i) q^{50} +(1.55699 + 8.74871i) q^{51} +(-4.94978 - 4.15336i) q^{52} +3.85678 q^{53} +(0.877873 - 5.12146i) q^{54} +2.43740 q^{55} +(-0.766044 - 0.642788i) q^{56} +(7.30136 - 6.14639i) q^{57} +(0.114531 + 0.649539i) q^{58} +(5.58063 + 2.03118i) q^{59} +(-1.25562 + 2.18281i) q^{60} +(-1.16595 + 6.61244i) q^{61} +(-2.46933 + 4.27700i) q^{62} +(-2.29199 + 1.93566i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(8.82764 - 3.21300i) q^{65} +(2.22737 + 1.86296i) q^{66} +(-11.9974 + 10.0670i) q^{67} +(3.93014 - 3.29778i) q^{68} +(1.63926 - 9.38398i) q^{69} +(1.36620 - 0.497255i) q^{70} +(-3.86841 - 6.70028i) q^{71} +(-2.81580 + 1.03502i) q^{72} +(5.56535 - 9.63947i) q^{73} +(0.312824 - 1.77411i) q^{74} +(2.50645 + 4.32539i) q^{75} +(-5.17792 - 1.88461i) q^{76} +(-0.291118 - 1.65101i) q^{77} +(10.5227 + 3.81102i) q^{78} +(6.30537 + 5.29083i) q^{79} +1.45387 q^{80} +(1.61919 + 8.85315i) q^{81} +9.00378 q^{82} +(-7.97790 - 6.69425i) q^{83} +(1.62854 + 0.589807i) q^{84} +(1.29524 + 7.34569i) q^{85} +(4.80515 + 1.74893i) q^{86} +(-0.572768 - 0.988429i) q^{87} +(0.291118 - 1.65101i) q^{88} +(-4.13904 + 7.16904i) q^{89} +(0.743720 - 4.29775i) q^{90} +(-3.23074 - 5.59581i) q^{91} +(-5.16820 + 1.88107i) q^{92} +(1.47198 - 8.42640i) q^{93} +(0.0178756 - 0.0149994i) q^{94} +(6.13693 - 5.14949i) q^{95} +(1.32860 + 1.11123i) q^{96} +(-3.02190 + 1.09988i) q^{97} +(-0.500000 - 0.866025i) q^{98} +(-4.73158 - 1.70513i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q - 3 q^{3} + 3 q^{5} - 6 q^{6} - 15 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q - 3 q^{3} + 3 q^{5} - 6 q^{6} - 15 q^{8} + 3 q^{9} - 3 q^{10} + 9 q^{11} + 3 q^{12} - 9 q^{13} + 12 q^{15} - 12 q^{18} - 15 q^{19} - 6 q^{20} - 3 q^{21} + 9 q^{22} - 12 q^{23} - 3 q^{24} + 21 q^{25} + 18 q^{26} + 3 q^{27} - 30 q^{28} - 30 q^{29} - 15 q^{30} + 18 q^{31} + 9 q^{33} + 12 q^{34} + 3 q^{35} - 12 q^{36} + 3 q^{37} - 3 q^{38} + 72 q^{39} + 3 q^{40} + 36 q^{41} - 3 q^{42} - 9 q^{43} - 3 q^{44} - 48 q^{45} - 15 q^{46} + 3 q^{48} + 3 q^{50} - 6 q^{51} - 9 q^{52} + 6 q^{53} + 45 q^{54} + 66 q^{55} - 51 q^{57} - 3 q^{58} - 48 q^{59} + 24 q^{60} + 57 q^{61} - 18 q^{62} - 15 q^{63} - 15 q^{64} + 24 q^{65} + 54 q^{66} + 6 q^{67} - 15 q^{68} - 48 q^{69} - 3 q^{70} - 24 q^{71} - 6 q^{72} - 36 q^{73} - 48 q^{74} - 129 q^{75} - 3 q^{76} + 9 q^{77} + 24 q^{78} - 21 q^{79} + 6 q^{80} + 27 q^{81} - 15 q^{83} + 3 q^{84} - 72 q^{85} - 9 q^{86} + 42 q^{87} - 9 q^{88} - 30 q^{89} - 30 q^{90} + 9 q^{91} + 6 q^{92} + 111 q^{93} - 45 q^{94} + 81 q^{95} - 6 q^{96} - 15 q^{97} - 15 q^{98} + 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/378\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.766044 + 0.642788i 0.541675 + 0.454519i
\(3\) −1.62854 0.589807i −0.940235 0.340525i
\(4\) 0.173648 + 0.984808i 0.0868241 + 0.492404i
\(5\) −1.36620 0.497255i −0.610981 0.222379i 0.0179513 0.999839i \(-0.494286\pi\)
−0.628933 + 0.777460i \(0.716508\pi\)
\(6\) −0.868410 1.49862i −0.354527 0.611809i
\(7\) −0.173648 + 0.984808i −0.0656328 + 0.372222i
\(8\) −0.500000 + 0.866025i −0.176777 + 0.306186i
\(9\) 2.30426 + 1.92104i 0.768085 + 0.640347i
\(10\) −0.726937 1.25909i −0.229878 0.398160i
\(11\) −1.57538 + 0.573391i −0.474994 + 0.172884i −0.568413 0.822743i \(-0.692443\pi\)
0.0934191 + 0.995627i \(0.470220\pi\)
\(12\) 0.298054 1.70621i 0.0860407 0.492541i
\(13\) −4.94978 + 4.15336i −1.37282 + 1.15193i −0.401038 + 0.916061i \(0.631351\pi\)
−0.971784 + 0.235873i \(0.924205\pi\)
\(14\) −0.766044 + 0.642788i −0.204734 + 0.171792i
\(15\) 1.93161 + 1.61559i 0.498741 + 0.417143i
\(16\) −0.939693 + 0.342020i −0.234923 + 0.0855050i
\(17\) −2.56522 4.44309i −0.622157 1.07761i −0.989083 0.147357i \(-0.952923\pi\)
0.366926 0.930250i \(-0.380410\pi\)
\(18\) 0.530341 + 2.95275i 0.125003 + 0.695970i
\(19\) −2.75512 + 4.77200i −0.632067 + 1.09477i 0.355062 + 0.934843i \(0.384460\pi\)
−0.987129 + 0.159929i \(0.948873\pi\)
\(20\) 0.252463 1.43179i 0.0564524 0.320157i
\(21\) 0.863638 1.50138i 0.188461 0.327627i
\(22\) −1.57538 0.573391i −0.335872 0.122247i
\(23\) 0.955045 + 5.41633i 0.199141 + 1.12938i 0.906397 + 0.422426i \(0.138821\pi\)
−0.707257 + 0.706957i \(0.750067\pi\)
\(24\) 1.32506 1.11545i 0.270476 0.227690i
\(25\) −2.21099 1.85524i −0.442199 0.371049i
\(26\) −6.46148 −1.26720
\(27\) −2.61952 4.48755i −0.504127 0.863630i
\(28\) −1.00000 −0.188982
\(29\) 0.505252 + 0.423957i 0.0938229 + 0.0787268i 0.688493 0.725243i \(-0.258273\pi\)
−0.594670 + 0.803970i \(0.702717\pi\)
\(30\) 0.441222 + 2.47923i 0.0805558 + 0.452643i
\(31\) 0.857588 + 4.86362i 0.154027 + 0.873533i 0.959670 + 0.281130i \(0.0907093\pi\)
−0.805642 + 0.592402i \(0.798180\pi\)
\(32\) −0.939693 0.342020i −0.166116 0.0604612i
\(33\) 2.90375 0.00461883i 0.505478 0.000804035i
\(34\) 0.890891 5.05249i 0.152787 0.866496i
\(35\) 0.726937 1.25909i 0.122875 0.212825i
\(36\) −1.49173 + 2.60283i −0.248621 + 0.433806i
\(37\) −0.900740 1.56013i −0.148081 0.256483i 0.782437 0.622729i \(-0.213976\pi\)
−0.930518 + 0.366246i \(0.880643\pi\)
\(38\) −5.17792 + 1.88461i −0.839970 + 0.305724i
\(39\) 10.5106 3.84448i 1.68304 0.615609i
\(40\) 1.11373 0.934533i 0.176097 0.147763i
\(41\) 6.89729 5.78752i 1.07718 0.903858i 0.0814931 0.996674i \(-0.474031\pi\)
0.995683 + 0.0928155i \(0.0295867\pi\)
\(42\) 1.62665 0.594984i 0.250998 0.0918081i
\(43\) 4.80515 1.74893i 0.732779 0.266710i 0.0514383 0.998676i \(-0.483619\pi\)
0.681341 + 0.731966i \(0.261397\pi\)
\(44\) −0.838241 1.45188i −0.126370 0.218879i
\(45\) −2.19282 3.77032i −0.326886 0.562046i
\(46\) −2.74994 + 4.76304i −0.405457 + 0.702272i
\(47\) 0.00405207 0.0229804i 0.000591055 0.00335204i −0.984511 0.175324i \(-0.943903\pi\)
0.985102 + 0.171972i \(0.0550138\pi\)
\(48\) 1.73205 0.00275507i 0.250000 0.000397661i
\(49\) −0.939693 0.342020i −0.134242 0.0488600i
\(50\) −0.501192 2.84240i −0.0708792 0.401976i
\(51\) 1.55699 + 8.74871i 0.218022 + 1.22506i
\(52\) −4.94978 4.15336i −0.686411 0.575967i
\(53\) 3.85678 0.529769 0.264884 0.964280i \(-0.414666\pi\)
0.264884 + 0.964280i \(0.414666\pi\)
\(54\) 0.877873 5.12146i 0.119463 0.696942i
\(55\) 2.43740 0.328658
\(56\) −0.766044 0.642788i −0.102367 0.0858961i
\(57\) 7.30136 6.14639i 0.967089 0.814109i
\(58\) 0.114531 + 0.649539i 0.0150387 + 0.0852887i
\(59\) 5.58063 + 2.03118i 0.726536 + 0.264437i 0.678698 0.734418i \(-0.262545\pi\)
0.0478381 + 0.998855i \(0.484767\pi\)
\(60\) −1.25562 + 2.18281i −0.162100 + 0.281800i
\(61\) −1.16595 + 6.61244i −0.149285 + 0.846636i 0.814542 + 0.580105i \(0.196989\pi\)
−0.963826 + 0.266531i \(0.914123\pi\)
\(62\) −2.46933 + 4.27700i −0.313605 + 0.543180i
\(63\) −2.29199 + 1.93566i −0.288763 + 0.243871i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) 8.82764 3.21300i 1.09493 0.398524i
\(66\) 2.22737 + 1.86296i 0.274170 + 0.229314i
\(67\) −11.9974 + 10.0670i −1.46572 + 1.22988i −0.545718 + 0.837969i \(0.683743\pi\)
−0.920001 + 0.391916i \(0.871813\pi\)
\(68\) 3.93014 3.29778i 0.476600 0.399915i
\(69\) 1.63926 9.38398i 0.197344 1.12970i
\(70\) 1.36620 0.497255i 0.163292 0.0594333i
\(71\) −3.86841 6.70028i −0.459096 0.795177i 0.539817 0.841782i \(-0.318493\pi\)
−0.998913 + 0.0466046i \(0.985160\pi\)
\(72\) −2.81580 + 1.03502i −0.331845 + 0.121979i
\(73\) 5.56535 9.63947i 0.651375 1.12821i −0.331414 0.943485i \(-0.607526\pi\)
0.982789 0.184729i \(-0.0591408\pi\)
\(74\) 0.312824 1.77411i 0.0363650 0.206236i
\(75\) 2.50645 + 4.32539i 0.289420 + 0.499453i
\(76\) −5.17792 1.88461i −0.593949 0.216180i
\(77\) −0.291118 1.65101i −0.0331760 0.188150i
\(78\) 10.5227 + 3.81102i 1.19147 + 0.431513i
\(79\) 6.30537 + 5.29083i 0.709410 + 0.595265i 0.924433 0.381343i \(-0.124538\pi\)
−0.215024 + 0.976609i \(0.568983\pi\)
\(80\) 1.45387 0.162548
\(81\) 1.61919 + 8.85315i 0.179911 + 0.983683i
\(82\) 9.00378 0.994301
\(83\) −7.97790 6.69425i −0.875689 0.734790i 0.0895994 0.995978i \(-0.471441\pi\)
−0.965288 + 0.261188i \(0.915886\pi\)
\(84\) 1.62854 + 0.589807i 0.177688 + 0.0643532i
\(85\) 1.29524 + 7.34569i 0.140489 + 0.796752i
\(86\) 4.80515 + 1.74893i 0.518153 + 0.188592i
\(87\) −0.572768 0.988429i −0.0614072 0.105971i
\(88\) 0.291118 1.65101i 0.0310333 0.175999i
\(89\) −4.13904 + 7.16904i −0.438738 + 0.759916i −0.997592 0.0693494i \(-0.977908\pi\)
0.558855 + 0.829266i \(0.311241\pi\)
\(90\) 0.743720 4.29775i 0.0783949 0.453023i
\(91\) −3.23074 5.59581i −0.338674 0.586600i
\(92\) −5.16820 + 1.88107i −0.538822 + 0.196115i
\(93\) 1.47198 8.42640i 0.152638 0.873777i
\(94\) 0.0178756 0.0149994i 0.00184373 0.00154707i
\(95\) 6.13693 5.14949i 0.629635 0.528327i
\(96\) 1.32860 + 1.11123i 0.135599 + 0.113414i
\(97\) −3.02190 + 1.09988i −0.306828 + 0.111676i −0.490845 0.871247i \(-0.663312\pi\)
0.184017 + 0.982923i \(0.441090\pi\)
\(98\) −0.500000 0.866025i −0.0505076 0.0874818i
\(99\) −4.73158 1.70513i −0.475542 0.171372i
\(100\) 1.44312 2.49956i 0.144312 0.249956i
\(101\) 2.36362 13.4047i 0.235189 1.33382i −0.607027 0.794681i \(-0.707638\pi\)
0.842216 0.539140i \(-0.181251\pi\)
\(102\) −4.43084 + 7.70271i −0.438719 + 0.762682i
\(103\) 15.4191 + 5.61208i 1.51928 + 0.552974i 0.960969 0.276655i \(-0.0892259\pi\)
0.558315 + 0.829629i \(0.311448\pi\)
\(104\) −1.12202 6.36332i −0.110024 0.623974i
\(105\) −1.92646 + 1.62172i −0.188004 + 0.158264i
\(106\) 2.95446 + 2.47909i 0.286963 + 0.240790i
\(107\) −10.9247 −1.05613 −0.528065 0.849204i \(-0.677082\pi\)
−0.528065 + 0.849204i \(0.677082\pi\)
\(108\) 3.96450 3.35898i 0.381484 0.323218i
\(109\) 8.26363 0.791512 0.395756 0.918356i \(-0.370483\pi\)
0.395756 + 0.918356i \(0.370483\pi\)
\(110\) 1.86715 + 1.56673i 0.178026 + 0.149382i
\(111\) 0.546714 + 3.07199i 0.0518918 + 0.291580i
\(112\) −0.173648 0.984808i −0.0164082 0.0930556i
\(113\) −13.0082 4.73459i −1.22371 0.445393i −0.352270 0.935899i \(-0.614590\pi\)
−0.871438 + 0.490505i \(0.836812\pi\)
\(114\) 9.54399 0.0151811i 0.893876 0.00142184i
\(115\) 1.38852 7.87467i 0.129480 0.734317i
\(116\) −0.329780 + 0.571195i −0.0306193 + 0.0530341i
\(117\) −19.3843 + 0.0616673i −1.79208 + 0.00570115i
\(118\) 2.96939 + 5.14313i 0.273355 + 0.473464i
\(119\) 4.82103 1.75471i 0.441943 0.160854i
\(120\) −2.36495 + 0.865033i −0.215889 + 0.0789663i
\(121\) −6.27345 + 5.26405i −0.570314 + 0.478550i
\(122\) −5.14356 + 4.31596i −0.465676 + 0.390749i
\(123\) −14.6460 + 5.35711i −1.32059 + 0.483034i
\(124\) −4.64082 + 1.68912i −0.416758 + 0.151687i
\(125\) 5.73281 + 9.92952i 0.512758 + 0.888123i
\(126\) −2.99998 + 0.00954384i −0.267260 + 0.000850233i
\(127\) −1.53947 + 2.66645i −0.136606 + 0.236609i −0.926210 0.377008i \(-0.876953\pi\)
0.789604 + 0.613617i \(0.210286\pi\)
\(128\) 0.173648 0.984808i 0.0153485 0.0870455i
\(129\) −8.85689 + 0.0140882i −0.779806 + 0.00124039i
\(130\) 8.82764 + 3.21300i 0.774236 + 0.281799i
\(131\) 3.18514 + 18.0638i 0.278287 + 1.57824i 0.728324 + 0.685233i \(0.240300\pi\)
−0.450037 + 0.893010i \(0.648589\pi\)
\(132\) 0.508779 + 2.85883i 0.0442836 + 0.248829i
\(133\) −4.22108 3.54191i −0.366014 0.307122i
\(134\) −15.6615 −1.35295
\(135\) 1.34732 + 7.43344i 0.115959 + 0.639769i
\(136\) 5.13044 0.439931
\(137\) 10.3469 + 8.68210i 0.883997 + 0.741762i 0.966997 0.254788i \(-0.0820056\pi\)
−0.0829996 + 0.996550i \(0.526450\pi\)
\(138\) 7.28765 6.13485i 0.620366 0.522233i
\(139\) 3.74575 + 21.2432i 0.317710 + 1.80182i 0.556604 + 0.830778i \(0.312104\pi\)
−0.238894 + 0.971046i \(0.576785\pi\)
\(140\) 1.36620 + 0.497255i 0.115465 + 0.0420257i
\(141\) −0.0201529 + 0.0350345i −0.00169718 + 0.00295044i
\(142\) 1.34349 7.61928i 0.112743 0.639396i
\(143\) 5.41628 9.38127i 0.452932 0.784501i
\(144\) −2.82233 1.01709i −0.235194 0.0847572i
\(145\) −0.479458 0.830446i −0.0398169 0.0689648i
\(146\) 10.4594 3.80692i 0.865629 0.315063i
\(147\) 1.32860 + 1.11123i 0.109581 + 0.0916526i
\(148\) 1.38001 1.15797i 0.113436 0.0951845i
\(149\) 4.50522 3.78033i 0.369082 0.309697i −0.439316 0.898333i \(-0.644779\pi\)
0.808398 + 0.588636i \(0.200335\pi\)
\(150\) −0.860257 + 4.92455i −0.0702397 + 0.402088i
\(151\) −6.98099 + 2.54087i −0.568105 + 0.206773i −0.610072 0.792346i \(-0.708860\pi\)
0.0419676 + 0.999119i \(0.486637\pi\)
\(152\) −2.75512 4.77200i −0.223469 0.387060i
\(153\) 2.62444 15.1659i 0.212173 1.22609i
\(154\) 0.838241 1.45188i 0.0675474 0.116996i
\(155\) 1.24683 7.07110i 0.100147 0.567965i
\(156\) 5.61122 + 9.68331i 0.449257 + 0.775285i
\(157\) −18.0242 6.56026i −1.43849 0.523566i −0.499135 0.866524i \(-0.666349\pi\)
−0.939351 + 0.342958i \(0.888571\pi\)
\(158\) 1.42931 + 8.10603i 0.113710 + 0.644881i
\(159\) −6.28090 2.27475i −0.498107 0.180400i
\(160\) 1.11373 + 0.934533i 0.0880483 + 0.0738813i
\(161\) −5.49989 −0.433452
\(162\) −4.45032 + 7.82270i −0.349650 + 0.614610i
\(163\) 13.1780 1.03218 0.516090 0.856534i \(-0.327387\pi\)
0.516090 + 0.856534i \(0.327387\pi\)
\(164\) 6.89729 + 5.78752i 0.538588 + 0.451929i
\(165\) −3.96938 1.43759i −0.309016 0.111916i
\(166\) −1.80844 10.2562i −0.140362 0.796035i
\(167\) 2.12608 + 0.773831i 0.164521 + 0.0598809i 0.422968 0.906145i \(-0.360988\pi\)
−0.258446 + 0.966026i \(0.583211\pi\)
\(168\) 0.868410 + 1.49862i 0.0669993 + 0.115621i
\(169\) 4.99251 28.3139i 0.384039 2.17799i
\(170\) −3.72951 + 6.45970i −0.286040 + 0.495436i
\(171\) −15.5157 + 5.70322i −1.18652 + 0.436136i
\(172\) 2.55677 + 4.42845i 0.194952 + 0.337666i
\(173\) −12.5475 + 4.56693i −0.953972 + 0.347217i −0.771669 0.636025i \(-0.780578\pi\)
−0.182303 + 0.983242i \(0.558355\pi\)
\(174\) 0.196584 1.12535i 0.0149030 0.0853125i
\(175\) 2.21099 1.85524i 0.167135 0.140243i
\(176\) 1.28426 1.07762i 0.0968047 0.0812288i
\(177\) −7.89025 6.59934i −0.593067 0.496037i
\(178\) −7.77886 + 2.83127i −0.583050 + 0.212213i
\(179\) −2.73251 4.73285i −0.204238 0.353750i 0.745652 0.666336i \(-0.232138\pi\)
−0.949890 + 0.312586i \(0.898805\pi\)
\(180\) 3.33226 2.81421i 0.248372 0.209759i
\(181\) −2.71456 + 4.70175i −0.201771 + 0.349478i −0.949099 0.314977i \(-0.898003\pi\)
0.747328 + 0.664456i \(0.231336\pi\)
\(182\) 1.12202 6.36332i 0.0831700 0.471680i
\(183\) 5.79885 10.0809i 0.428664 0.745202i
\(184\) −5.16820 1.88107i −0.381005 0.138674i
\(185\) 0.454807 + 2.57934i 0.0334381 + 0.189637i
\(186\) 6.54399 5.50882i 0.479829 0.403926i
\(187\) 6.58881 + 5.52867i 0.481822 + 0.404296i
\(188\) 0.0233349 0.00170188
\(189\) 4.87425 1.80047i 0.354550 0.130965i
\(190\) 8.01119 0.581193
\(191\) −16.9859 14.2529i −1.22906 1.03130i −0.998300 0.0582932i \(-0.981434\pi\)
−0.230761 0.973011i \(-0.574121\pi\)
\(192\) 0.303480 + 1.70526i 0.0219018 + 0.123066i
\(193\) −1.37235 7.78298i −0.0987839 0.560231i −0.993522 0.113640i \(-0.963749\pi\)
0.894738 0.446591i \(-0.147362\pi\)
\(194\) −3.02190 1.09988i −0.216960 0.0789670i
\(195\) −16.2712 + 0.0258817i −1.16520 + 0.00185342i
\(196\) 0.173648 0.984808i 0.0124034 0.0703434i
\(197\) −2.30248 + 3.98801i −0.164045 + 0.284134i −0.936316 0.351159i \(-0.885788\pi\)
0.772271 + 0.635293i \(0.219121\pi\)
\(198\) −2.52857 4.34761i −0.179697 0.308971i
\(199\) −1.55657 2.69605i −0.110342 0.191118i 0.805566 0.592506i \(-0.201861\pi\)
−0.915908 + 0.401388i \(0.868528\pi\)
\(200\) 2.71219 0.987155i 0.191780 0.0698024i
\(201\) 25.4758 9.31837i 1.79693 0.657267i
\(202\) 10.4270 8.74932i 0.733643 0.615600i
\(203\) −0.505252 + 0.423957i −0.0354617 + 0.0297559i
\(204\) −8.34543 + 3.05253i −0.584297 + 0.213720i
\(205\) −12.3009 + 4.47717i −0.859134 + 0.312699i
\(206\) 8.20431 + 14.2103i 0.571621 + 0.990077i
\(207\) −8.20433 + 14.3153i −0.570240 + 0.994982i
\(208\) 3.23074 5.59581i 0.224012 0.387999i
\(209\) 1.60413 9.09746i 0.110960 0.629285i
\(210\) −2.51818 + 0.00400553i −0.173771 + 0.000276408i
\(211\) −0.764716 0.278334i −0.0526452 0.0191613i 0.315563 0.948905i \(-0.397807\pi\)
−0.368209 + 0.929743i \(0.620029\pi\)
\(212\) 0.669722 + 3.79818i 0.0459967 + 0.260860i
\(213\) 2.34797 + 13.1933i 0.160880 + 0.903988i
\(214\) −8.36880 7.02225i −0.572079 0.480031i
\(215\) −7.43444 −0.507025
\(216\) 5.19609 0.0247956i 0.353549 0.00168713i
\(217\) −4.93865 −0.335258
\(218\) 6.33031 + 5.31176i 0.428742 + 0.359758i
\(219\) −14.7488 + 12.4157i −0.996631 + 0.838978i
\(220\) 0.423249 + 2.40037i 0.0285355 + 0.161833i
\(221\) 31.1510 + 11.3380i 2.09544 + 0.762679i
\(222\) −1.55583 + 2.70470i −0.104420 + 0.181527i
\(223\) −1.04376 + 5.91944i −0.0698952 + 0.396395i 0.929710 + 0.368293i \(0.120058\pi\)
−0.999605 + 0.0281025i \(0.991054\pi\)
\(224\) 0.500000 0.866025i 0.0334077 0.0578638i
\(225\) −1.53069 8.52237i −0.102046 0.568158i
\(226\) −6.92151 11.9884i −0.460412 0.797457i
\(227\) 2.18280 0.794476i 0.144878 0.0527312i −0.268563 0.963262i \(-0.586549\pi\)
0.413441 + 0.910531i \(0.364327\pi\)
\(228\) 7.32088 + 6.12313i 0.484837 + 0.405514i
\(229\) −2.80154 + 2.35077i −0.185131 + 0.155343i −0.730643 0.682760i \(-0.760780\pi\)
0.545512 + 0.838103i \(0.316335\pi\)
\(230\) 6.12540 5.13982i 0.403897 0.338910i
\(231\) −0.499682 + 2.86044i −0.0328767 + 0.188203i
\(232\) −0.619783 + 0.225583i −0.0406908 + 0.0148102i
\(233\) 7.39183 + 12.8030i 0.484255 + 0.838754i 0.999836 0.0180867i \(-0.00575748\pi\)
−0.515582 + 0.856840i \(0.672424\pi\)
\(234\) −14.8889 12.4128i −0.973318 0.811448i
\(235\) −0.0169630 + 0.0293808i −0.00110655 + 0.00191660i
\(236\) −1.03126 + 5.84856i −0.0671292 + 0.380709i
\(237\) −7.14795 12.3353i −0.464309 0.801261i
\(238\) 4.82103 + 1.75471i 0.312501 + 0.113741i
\(239\) 2.83460 + 16.0758i 0.183355 + 1.03986i 0.928051 + 0.372454i \(0.121484\pi\)
−0.744695 + 0.667405i \(0.767405\pi\)
\(240\) −2.36769 0.857505i −0.152834 0.0553517i
\(241\) 6.73786 + 5.65374i 0.434024 + 0.364189i 0.833468 0.552568i \(-0.186352\pi\)
−0.399444 + 0.916758i \(0.630797\pi\)
\(242\) −8.18941 −0.526435
\(243\) 2.58473 15.3727i 0.165810 0.986158i
\(244\) −6.71445 −0.429848
\(245\) 1.11373 + 0.934533i 0.0711538 + 0.0597051i
\(246\) −14.6630 5.31049i −0.934877 0.338584i
\(247\) −6.18261 35.0633i −0.393390 2.23103i
\(248\) −4.64082 1.68912i −0.294692 0.107259i
\(249\) 9.04398 + 15.6073i 0.573139 + 0.989069i
\(250\) −1.99098 + 11.2914i −0.125921 + 0.714133i
\(251\) −10.9035 + 18.8853i −0.688220 + 1.19203i 0.284193 + 0.958767i \(0.408274\pi\)
−0.972413 + 0.233265i \(0.925059\pi\)
\(252\) −2.30426 1.92104i −0.145155 0.121014i
\(253\) −4.61023 7.98515i −0.289843 0.502022i
\(254\) −2.89326 + 1.05306i −0.181539 + 0.0660750i
\(255\) 2.22319 12.7267i 0.139221 0.796975i
\(256\) 0.766044 0.642788i 0.0478778 0.0401742i
\(257\) −12.7669 + 10.7127i −0.796378 + 0.668241i −0.947315 0.320303i \(-0.896215\pi\)
0.150937 + 0.988543i \(0.451771\pi\)
\(258\) −6.79383 5.68231i −0.422965 0.353765i
\(259\) 1.69284 0.616143i 0.105188 0.0382852i
\(260\) 4.69709 + 8.13560i 0.291301 + 0.504549i
\(261\) 0.349791 + 1.94751i 0.0216515 + 0.120548i
\(262\) −9.17124 + 15.8851i −0.566601 + 0.981382i
\(263\) −3.22084 + 18.2663i −0.198605 + 1.12635i 0.708585 + 0.705626i \(0.249334\pi\)
−0.907190 + 0.420721i \(0.861777\pi\)
\(264\) −1.44787 + 2.51703i −0.0891105 + 0.154912i
\(265\) −5.26911 1.91780i −0.323679 0.117809i
\(266\) −0.956842 5.42652i −0.0586677 0.332721i
\(267\) 10.9689 9.23379i 0.671287 0.565099i
\(268\) −11.9974 10.0670i −0.732860 0.614942i
\(269\) 20.9639 1.27819 0.639096 0.769127i \(-0.279309\pi\)
0.639096 + 0.769127i \(0.279309\pi\)
\(270\) −3.74601 + 6.56039i −0.227975 + 0.399252i
\(271\) 19.2207 1.16757 0.583786 0.811908i \(-0.301571\pi\)
0.583786 + 0.811908i \(0.301571\pi\)
\(272\) 3.93014 + 3.29778i 0.238300 + 0.199957i
\(273\) 1.96093 + 11.0185i 0.118681 + 0.666869i
\(274\) 2.34546 + 13.3018i 0.141694 + 0.803588i
\(275\) 4.54693 + 1.65495i 0.274190 + 0.0997971i
\(276\) 9.52607 0.0151526i 0.573402 0.000912079i
\(277\) −1.42383 + 8.07496i −0.0855498 + 0.485177i 0.911687 + 0.410886i \(0.134781\pi\)
−0.997237 + 0.0742912i \(0.976331\pi\)
\(278\) −10.7855 + 18.6809i −0.646868 + 1.12041i
\(279\) −7.36712 + 12.8545i −0.441058 + 0.769579i
\(280\) 0.726937 + 1.25909i 0.0434428 + 0.0752452i
\(281\) −5.61750 + 2.04460i −0.335112 + 0.121971i −0.504095 0.863648i \(-0.668174\pi\)
0.168983 + 0.985619i \(0.445952\pi\)
\(282\) −0.0379578 + 0.0138839i −0.00226035 + 0.000826776i
\(283\) 4.98710 4.18467i 0.296452 0.248753i −0.482414 0.875944i \(-0.660240\pi\)
0.778866 + 0.627191i \(0.215795\pi\)
\(284\) 5.92675 4.97313i 0.351688 0.295101i
\(285\) −13.0314 + 4.76653i −0.771914 + 0.282345i
\(286\) 10.1793 3.70495i 0.601913 0.219078i
\(287\) 4.50189 + 7.79750i 0.265738 + 0.460272i
\(288\) −1.50826 2.59329i −0.0888749 0.152811i
\(289\) −4.66069 + 8.07256i −0.274158 + 0.474856i
\(290\) 0.166514 0.944349i 0.00977805 0.0554541i
\(291\) 5.57000 0.00885988i 0.326519 0.000519375i
\(292\) 10.4594 + 3.80692i 0.612092 + 0.222783i
\(293\) 5.83182 + 33.0739i 0.340698 + 1.93220i 0.361401 + 0.932410i \(0.382299\pi\)
−0.0207028 + 0.999786i \(0.506590\pi\)
\(294\) 0.303480 + 1.70526i 0.0176993 + 0.0994526i
\(295\) −6.61421 5.54999i −0.385094 0.323133i
\(296\) 1.80148 0.104709
\(297\) 6.69985 + 5.56758i 0.388765 + 0.323064i
\(298\) 5.88115 0.340686
\(299\) −27.2232 22.8430i −1.57436 1.32105i
\(300\) −3.82444 + 3.21946i −0.220804 + 0.185876i
\(301\) 0.887956 + 5.03585i 0.0511810 + 0.290262i
\(302\) −6.98099 2.54087i −0.401711 0.146211i
\(303\) −11.7554 + 20.4360i −0.675332 + 1.17402i
\(304\) 0.956842 5.42652i 0.0548786 0.311232i
\(305\) 4.88098 8.45411i 0.279484 0.484081i
\(306\) 11.7589 9.93080i 0.672211 0.567706i
\(307\) −16.2066 28.0707i −0.924961 1.60208i −0.791624 0.611009i \(-0.790764\pi\)
−0.133338 0.991071i \(-0.542569\pi\)
\(308\) 1.57538 0.573391i 0.0897655 0.0326720i
\(309\) −21.8004 18.2337i −1.24018 1.03728i
\(310\) 5.50034 4.61533i 0.312398 0.262133i
\(311\) 4.01331 3.36757i 0.227574 0.190957i −0.521870 0.853025i \(-0.674765\pi\)
0.749444 + 0.662068i \(0.230321\pi\)
\(312\) −1.92587 + 11.0247i −0.109031 + 0.624149i
\(313\) 20.4683 7.44987i 1.15694 0.421091i 0.308936 0.951083i \(-0.400027\pi\)
0.848003 + 0.529991i \(0.177805\pi\)
\(314\) −9.59047 16.6112i −0.541221 0.937423i
\(315\) 4.09382 1.50479i 0.230661 0.0847856i
\(316\) −4.11554 + 7.12832i −0.231517 + 0.400999i
\(317\) 1.79113 10.1580i 0.100600 0.570529i −0.892287 0.451468i \(-0.850900\pi\)
0.992887 0.119061i \(-0.0379885\pi\)
\(318\) −3.34926 5.77984i −0.187817 0.324118i
\(319\) −1.03906 0.378185i −0.0581759 0.0211743i
\(320\) 0.252463 + 1.43179i 0.0141131 + 0.0800393i
\(321\) 17.7912 + 6.44345i 0.993010 + 0.359638i
\(322\) −4.21316 3.53526i −0.234790 0.197012i
\(323\) 28.2699 1.57298
\(324\) −8.43748 + 3.13193i −0.468749 + 0.173996i
\(325\) 18.6494 1.03448
\(326\) 10.0949 + 8.47065i 0.559106 + 0.469146i
\(327\) −13.4576 4.87394i −0.744208 0.269530i
\(328\) 1.56349 + 8.86699i 0.0863293 + 0.489598i
\(329\) 0.0219277 + 0.00798102i 0.00120891 + 0.000440008i
\(330\) −2.11666 3.65273i −0.116518 0.201076i
\(331\) 3.35525 19.0286i 0.184421 1.04590i −0.742276 0.670095i \(-0.766253\pi\)
0.926697 0.375810i \(-0.122635\pi\)
\(332\) 5.20721 9.01915i 0.285783 0.494990i
\(333\) 0.921535 5.32529i 0.0504998 0.291824i
\(334\) 1.13127 + 1.95941i 0.0619001 + 0.107214i
\(335\) 21.3967 7.78777i 1.16903 0.425491i
\(336\) −0.298054 + 1.70621i −0.0162602 + 0.0930816i
\(337\) −22.4963 + 18.8766i −1.22545 + 1.02828i −0.226931 + 0.973911i \(0.572869\pi\)
−0.998521 + 0.0543651i \(0.982687\pi\)
\(338\) 22.0243 18.4806i 1.19797 1.00521i
\(339\) 18.3918 + 15.3828i 0.998906 + 0.835478i
\(340\) −7.00918 + 2.55113i −0.380126 + 0.138355i
\(341\) −4.13978 7.17031i −0.224182 0.388294i
\(342\) −15.5517 5.60438i −0.840939 0.303050i
\(343\) 0.500000 0.866025i 0.0269975 0.0467610i
\(344\) −0.887956 + 5.03585i −0.0478754 + 0.271515i
\(345\) −6.90578 + 12.0052i −0.371795 + 0.646339i
\(346\) −12.5475 4.56693i −0.674560 0.245520i
\(347\) −2.80052 15.8826i −0.150340 0.852621i −0.962923 0.269776i \(-0.913050\pi\)
0.812583 0.582845i \(-0.198061\pi\)
\(348\) 0.873953 0.735705i 0.0468488 0.0394380i
\(349\) 0.260632 + 0.218696i 0.0139513 + 0.0117065i 0.649737 0.760159i \(-0.274879\pi\)
−0.635785 + 0.771866i \(0.719324\pi\)
\(350\) 2.88625 0.154276
\(351\) 31.6045 + 11.3326i 1.68692 + 0.604889i
\(352\) 1.67648 0.0893568
\(353\) 3.52530 + 2.95808i 0.187633 + 0.157443i 0.731765 0.681557i \(-0.238697\pi\)
−0.544133 + 0.838999i \(0.683141\pi\)
\(354\) −1.80230 10.1271i −0.0957913 0.538252i
\(355\) 1.95326 + 11.0775i 0.103668 + 0.587932i
\(356\) −7.77886 2.83127i −0.412279 0.150057i
\(357\) −8.88617 + 0.0141347i −0.470306 + 0.000748089i
\(358\) 0.948992 5.38200i 0.0501558 0.284448i
\(359\) 10.3946 18.0040i 0.548607 0.950214i −0.449764 0.893148i \(-0.648492\pi\)
0.998370 0.0570669i \(-0.0181748\pi\)
\(360\) 4.36160 0.0138756i 0.229877 0.000731306i
\(361\) −5.68133 9.84035i −0.299017 0.517913i
\(362\) −5.10170 + 1.85687i −0.268139 + 0.0975947i
\(363\) 13.3213 4.87257i 0.699187 0.255744i
\(364\) 4.94978 4.15336i 0.259439 0.217695i
\(365\) −12.3966 + 10.4020i −0.648869 + 0.544466i
\(366\) 10.9221 3.99499i 0.570905 0.208822i
\(367\) 2.21844 0.807447i 0.115802 0.0421484i −0.283469 0.958981i \(-0.591485\pi\)
0.399271 + 0.916833i \(0.369263\pi\)
\(368\) −2.74994 4.76304i −0.143351 0.248291i
\(369\) 27.0112 0.0859306i 1.40615 0.00447337i
\(370\) −1.30956 + 2.26823i −0.0680810 + 0.117920i
\(371\) −0.669722 + 3.79818i −0.0347702 + 0.197192i
\(372\) 8.55399 0.0136064i 0.443504 0.000705456i
\(373\) 1.46920 + 0.534745i 0.0760723 + 0.0276881i 0.379776 0.925078i \(-0.376001\pi\)
−0.303704 + 0.952767i \(0.598223\pi\)
\(374\) 1.49356 + 8.47042i 0.0772303 + 0.437995i
\(375\) −3.47959 19.5518i −0.179685 1.00965i
\(376\) 0.0178756 + 0.0149994i 0.000921864 + 0.000773535i
\(377\) −4.26173 −0.219490
\(378\) 4.89121 + 1.75387i 0.251577 + 0.0902093i
\(379\) 36.6941 1.88485 0.942425 0.334417i \(-0.108539\pi\)
0.942425 + 0.334417i \(0.108539\pi\)
\(380\) 6.13693 + 5.14949i 0.314818 + 0.264163i
\(381\) 4.07977 3.43441i 0.209013 0.175950i
\(382\) −3.85040 21.8367i −0.197004 1.11726i
\(383\) 9.12791 + 3.32229i 0.466415 + 0.169761i 0.564527 0.825414i \(-0.309058\pi\)
−0.0981129 + 0.995175i \(0.531281\pi\)
\(384\) −0.863638 + 1.50138i −0.0440724 + 0.0766168i
\(385\) −0.423249 + 2.40037i −0.0215708 + 0.122334i
\(386\) 3.95152 6.84424i 0.201127 0.348363i
\(387\) 14.4321 + 5.20091i 0.733624 + 0.264377i
\(388\) −1.60792 2.78500i −0.0816298 0.141387i
\(389\) 22.4745 8.18004i 1.13950 0.414745i 0.297768 0.954638i \(-0.403758\pi\)
0.841733 + 0.539894i \(0.181536\pi\)
\(390\) −12.4811 10.4391i −0.632004 0.528604i
\(391\) 21.6153 18.1374i 1.09313 0.917249i
\(392\) 0.766044 0.642788i 0.0386911 0.0324657i
\(393\) 5.46705 31.2962i 0.275776 1.57868i
\(394\) −4.32725 + 1.57499i −0.218004 + 0.0793468i
\(395\) −5.98348 10.3637i −0.301061 0.521454i
\(396\) 0.857593 4.95579i 0.0430957 0.249038i
\(397\) 1.20348 2.08449i 0.0604009 0.104617i −0.834244 0.551396i \(-0.814095\pi\)
0.894645 + 0.446778i \(0.147429\pi\)
\(398\) 0.540590 3.06584i 0.0270973 0.153677i
\(399\) 4.78514 + 8.25775i 0.239557 + 0.413404i
\(400\) 2.71219 + 0.987155i 0.135609 + 0.0493577i
\(401\) 2.26515 + 12.8463i 0.113116 + 0.641513i 0.987666 + 0.156577i \(0.0500459\pi\)
−0.874550 + 0.484936i \(0.838843\pi\)
\(402\) 25.5054 + 9.23727i 1.27209 + 0.460713i
\(403\) −24.4453 20.5120i −1.21770 1.02178i
\(404\) 13.6115 0.677199
\(405\) 2.19013 12.9003i 0.108828 0.641020i
\(406\) −0.659559 −0.0327334
\(407\) 2.31357 + 1.94131i 0.114679 + 0.0962274i
\(408\) −8.35510 3.02597i −0.413639 0.149808i
\(409\) 4.26098 + 24.1652i 0.210692 + 1.19489i 0.888228 + 0.459404i \(0.151937\pi\)
−0.677536 + 0.735490i \(0.736952\pi\)
\(410\) −12.3009 4.47717i −0.607499 0.221112i
\(411\) −11.7296 20.2418i −0.578577 0.998454i
\(412\) −2.84933 + 16.1593i −0.140376 + 0.796113i
\(413\) −2.96939 + 5.14313i −0.146114 + 0.253077i
\(414\) −15.4866 + 5.69251i −0.761124 + 0.279772i
\(415\) 7.57063 + 13.1127i 0.371627 + 0.643678i
\(416\) 6.07180 2.20996i 0.297695 0.108352i
\(417\) 6.42929 36.8046i 0.314844 1.80233i
\(418\) 7.07657 5.93795i 0.346126 0.290434i
\(419\) −19.1164 + 16.0406i −0.933898 + 0.783634i −0.976513 0.215458i \(-0.930876\pi\)
0.0426147 + 0.999092i \(0.486431\pi\)
\(420\) −1.93161 1.61559i −0.0942531 0.0788326i
\(421\) 29.6213 10.7813i 1.44365 0.525446i 0.502841 0.864379i \(-0.332288\pi\)
0.940811 + 0.338933i \(0.110066\pi\)
\(422\) −0.406897 0.704766i −0.0198074 0.0343075i
\(423\) 0.0534834 0.0451686i 0.00260045 0.00219617i
\(424\) −1.92839 + 3.34007i −0.0936508 + 0.162208i
\(425\) −2.57133 + 14.5828i −0.124728 + 0.707367i
\(426\) −6.68182 + 11.6159i −0.323735 + 0.562791i
\(427\) −6.30952 2.29648i −0.305339 0.111134i
\(428\) −1.89705 10.7587i −0.0916975 0.520042i
\(429\) −14.3537 + 12.0832i −0.693005 + 0.583381i
\(430\) −5.69511 4.77877i −0.274643 0.230453i
\(431\) 3.71286 0.178842 0.0894211 0.995994i \(-0.471498\pi\)
0.0894211 + 0.995994i \(0.471498\pi\)
\(432\) 3.99638 + 3.32099i 0.192276 + 0.159781i
\(433\) −2.44258 −0.117383 −0.0586915 0.998276i \(-0.518693\pi\)
−0.0586915 + 0.998276i \(0.518693\pi\)
\(434\) −3.78323 3.17451i −0.181601 0.152381i
\(435\) 0.291012 + 1.63520i 0.0139530 + 0.0784018i
\(436\) 1.43496 + 8.13808i 0.0687223 + 0.389744i
\(437\) −28.4780 10.3651i −1.36229 0.495832i
\(438\) −19.2789 + 0.0306659i −0.921182 + 0.00146527i
\(439\) −4.18616 + 23.7409i −0.199794 + 1.13309i 0.705629 + 0.708581i \(0.250664\pi\)
−0.905424 + 0.424509i \(0.860447\pi\)
\(440\) −1.21870 + 2.11085i −0.0580991 + 0.100631i
\(441\) −1.50826 2.59329i −0.0718218 0.123490i
\(442\) 16.5751 + 28.7089i 0.788397 + 1.36554i
\(443\) −20.7020 + 7.53492i −0.983582 + 0.357995i −0.783232 0.621730i \(-0.786430\pi\)
−0.200350 + 0.979724i \(0.564208\pi\)
\(444\) −2.93038 + 1.07185i −0.139070 + 0.0508679i
\(445\) 9.21958 7.73615i 0.437050 0.366728i
\(446\) −4.60451 + 3.86364i −0.218030 + 0.182949i
\(447\) −9.56658 + 3.49919i −0.452484 + 0.165506i
\(448\) 0.939693 0.342020i 0.0443963 0.0161589i
\(449\) 7.45306 + 12.9091i 0.351732 + 0.609217i 0.986553 0.163442i \(-0.0522597\pi\)
−0.634821 + 0.772659i \(0.718926\pi\)
\(450\) 4.30549 7.51243i 0.202963 0.354139i
\(451\) −7.54734 + 13.0724i −0.355390 + 0.615554i
\(452\) 2.40382 13.6327i 0.113066 0.641229i
\(453\) 12.8674 0.0204675i 0.604564 0.000961646i
\(454\) 2.18280 + 0.794476i 0.102444 + 0.0372866i
\(455\) 1.63128 + 9.25146i 0.0764757 + 0.433715i
\(456\) 1.67225 + 9.39636i 0.0783101 + 0.440025i
\(457\) −5.60055 4.69942i −0.261983 0.219829i 0.502329 0.864677i \(-0.332477\pi\)
−0.764312 + 0.644847i \(0.776921\pi\)
\(458\) −3.65715 −0.170887
\(459\) −13.2189 + 23.1503i −0.617008 + 1.08056i
\(460\) 7.99615 0.372822
\(461\) −23.1527 19.4274i −1.07833 0.904826i −0.0825483 0.996587i \(-0.526306\pi\)
−0.995781 + 0.0917613i \(0.970750\pi\)
\(462\) −2.22143 + 1.87003i −0.103350 + 0.0870017i
\(463\) −0.594122 3.36943i −0.0276112 0.156591i 0.967885 0.251394i \(-0.0808889\pi\)
−0.995496 + 0.0948032i \(0.969778\pi\)
\(464\) −0.619783 0.225583i −0.0287727 0.0104724i
\(465\) −6.20108 + 10.7802i −0.287568 + 0.499918i
\(466\) −2.56715 + 14.5591i −0.118921 + 0.674435i
\(467\) 0.0717234 0.124229i 0.00331896 0.00574861i −0.864361 0.502872i \(-0.832277\pi\)
0.867680 + 0.497123i \(0.165610\pi\)
\(468\) −3.42679 19.0791i −0.158403 0.881934i
\(469\) −7.83077 13.5633i −0.361591 0.626294i
\(470\) −0.0318801 + 0.0116034i −0.00147052 + 0.000535225i
\(471\) 25.4837 + 21.3144i 1.17423 + 0.982116i
\(472\) −4.54937 + 3.81737i −0.209402 + 0.175709i
\(473\) −6.56711 + 5.51046i −0.301956 + 0.253371i
\(474\) 2.45330 14.0440i 0.112684 0.645061i
\(475\) 14.9448 5.43945i 0.685713 0.249579i
\(476\) 2.56522 + 4.44309i 0.117577 + 0.203649i
\(477\) 8.88700 + 7.40903i 0.406908 + 0.339236i
\(478\) −8.16191 + 14.1368i −0.373317 + 0.646604i
\(479\) −2.20608 + 12.5113i −0.100798 + 0.571656i 0.892017 + 0.452001i \(0.149290\pi\)
−0.992816 + 0.119654i \(0.961821\pi\)
\(480\) −1.26256 2.17881i −0.0576277 0.0994485i
\(481\) 10.9382 + 3.98119i 0.498741 + 0.181527i
\(482\) 1.52735 + 8.66203i 0.0695689 + 0.394545i
\(483\) 8.95676 + 3.24387i 0.407547 + 0.147601i
\(484\) −6.27345 5.26405i −0.285157 0.239275i
\(485\) 4.67543 0.212300
\(486\) 11.8614 10.1147i 0.538043 0.458813i
\(487\) −15.7746 −0.714813 −0.357407 0.933949i \(-0.616339\pi\)
−0.357407 + 0.933949i \(0.616339\pi\)
\(488\) −5.14356 4.31596i −0.232838 0.195374i
\(489\) −21.4608 7.77246i −0.970492 0.351483i
\(490\) 0.252463 + 1.43179i 0.0114051 + 0.0646816i
\(491\) −39.2068 14.2701i −1.76938 0.644000i −0.999986 0.00522126i \(-0.998338\pi\)
−0.769390 0.638779i \(-0.779440\pi\)
\(492\) −7.81897 13.4932i −0.352507 0.608323i
\(493\) 0.587596 3.33242i 0.0264640 0.150085i
\(494\) 17.8021 30.8342i 0.800956 1.38730i
\(495\) 5.61638 + 4.68234i 0.252438 + 0.210455i
\(496\) −2.46933 4.27700i −0.110876 0.192043i
\(497\) 7.27023 2.64615i 0.326115 0.118696i
\(498\) −3.10406 + 17.7692i −0.139096 + 0.796257i
\(499\) −2.37559 + 1.99336i −0.106346 + 0.0892348i −0.694410 0.719579i \(-0.744335\pi\)
0.588064 + 0.808814i \(0.299890\pi\)
\(500\) −8.78317 + 7.36996i −0.392795 + 0.329594i
\(501\) −3.00599 2.51419i −0.134298 0.112326i
\(502\) −20.4918 + 7.45841i −0.914594 + 0.332885i
\(503\) 4.02885 + 6.97816i 0.179637 + 0.311141i 0.941756 0.336296i \(-0.109174\pi\)
−0.762119 + 0.647437i \(0.775841\pi\)
\(504\) −0.530341 2.95275i −0.0236233 0.131526i
\(505\) −9.89473 + 17.1382i −0.440310 + 0.762639i
\(506\) 1.60112 9.08038i 0.0711783 0.403672i
\(507\) −24.8302 + 43.1656i −1.10275 + 1.91705i
\(508\) −2.89326 1.05306i −0.128368 0.0467221i
\(509\) −5.41191 30.6925i −0.239879 1.36042i −0.832091 0.554638i \(-0.812857\pi\)
0.592213 0.805782i \(-0.298255\pi\)
\(510\) 9.88361 8.32016i 0.437653 0.368423i
\(511\) 8.52661 + 7.15468i 0.377195 + 0.316504i
\(512\) 1.00000 0.0441942
\(513\) 28.6317 0.136629i 1.26412 0.00603233i
\(514\) −16.6660 −0.735107
\(515\) −18.2748 15.3344i −0.805284 0.675714i
\(516\) −1.55186 8.71989i −0.0683167 0.383872i
\(517\) 0.00679322 + 0.0385263i 0.000298766 + 0.00169438i
\(518\) 1.69284 + 0.616143i 0.0743790 + 0.0270718i
\(519\) 23.1277 0.0367880i 1.01519 0.00161481i
\(520\) −1.63128 + 9.25146i −0.0715365 + 0.405704i
\(521\) 8.74993 15.1553i 0.383342 0.663967i −0.608196 0.793787i \(-0.708107\pi\)
0.991538 + 0.129820i \(0.0414399\pi\)
\(522\) −0.983883 + 1.71672i −0.0430634 + 0.0751390i
\(523\) −4.93537 8.54831i −0.215809 0.373792i 0.737714 0.675114i \(-0.235905\pi\)
−0.953522 + 0.301322i \(0.902572\pi\)
\(524\) −17.2363 + 6.27350i −0.752971 + 0.274059i
\(525\) −4.69492 + 1.71727i −0.204903 + 0.0749479i
\(526\) −14.2086 + 11.9225i −0.619526 + 0.519844i
\(527\) 19.4096 16.2866i 0.845496 0.709455i
\(528\) −2.72705 + 0.997481i −0.118680 + 0.0434098i
\(529\) −6.81160 + 2.47922i −0.296157 + 0.107792i
\(530\) −2.80363 4.85604i −0.121782 0.210933i
\(531\) 8.95721 + 15.4010i 0.388710 + 0.668346i
\(532\) 2.75512 4.77200i 0.119449 0.206892i
\(533\) −10.1025 + 57.2939i −0.437586 + 2.48167i
\(534\) 14.3381 0.0228067i 0.620468 0.000986944i
\(535\) 14.9253 + 5.43235i 0.645275 + 0.234861i
\(536\) −2.71960 15.4236i −0.117469 0.666198i
\(537\) 1.65853 + 9.31928i 0.0715708 + 0.402157i
\(538\) 16.0593 + 13.4753i 0.692365 + 0.580963i
\(539\) 1.67648 0.0722112
\(540\) −7.08655 + 2.61766i −0.304957 + 0.112646i
\(541\) −12.7711 −0.549071 −0.274536 0.961577i \(-0.588524\pi\)
−0.274536 + 0.961577i \(0.588524\pi\)
\(542\) 14.7239 + 12.3548i 0.632445 + 0.530684i
\(543\) 7.19388 6.05591i 0.308719 0.259884i
\(544\) 0.890891 + 5.05249i 0.0381966 + 0.216624i
\(545\) −11.2897 4.10913i −0.483599 0.176016i
\(546\) −5.58038 + 9.70111i −0.238818 + 0.415169i
\(547\) −3.26077 + 18.4927i −0.139420 + 0.790692i 0.832259 + 0.554387i \(0.187047\pi\)
−0.971679 + 0.236305i \(0.924064\pi\)
\(548\) −6.75348 + 11.6974i −0.288494 + 0.499687i
\(549\) −15.3894 + 12.9969i −0.656805 + 0.554695i
\(550\) 2.41937 + 4.19047i 0.103162 + 0.178682i
\(551\) −3.41515 + 1.24301i −0.145490 + 0.0529541i
\(552\) 7.30713 + 6.11163i 0.311012 + 0.260128i
\(553\) −6.30537 + 5.29083i −0.268132 + 0.224989i
\(554\) −6.28120 + 5.27055i −0.266863 + 0.223924i
\(555\) 0.780641 4.46879i 0.0331364 0.189690i
\(556\) −20.2700 + 7.37768i −0.859640 + 0.312883i
\(557\) −2.66654 4.61859i −0.112985 0.195696i 0.803987 0.594646i \(-0.202708\pi\)
−0.916973 + 0.398950i \(0.869375\pi\)
\(558\) −13.9063 + 5.11162i −0.588699 + 0.216392i
\(559\) −16.5205 + 28.6144i −0.698743 + 1.21026i
\(560\) −0.252463 + 1.43179i −0.0106685 + 0.0605041i
\(561\) −7.46927 12.8898i −0.315353 0.544206i
\(562\) −5.61750 2.04460i −0.236960 0.0862464i
\(563\) −6.28769 35.6593i −0.264995 1.50286i −0.769050 0.639188i \(-0.779271\pi\)
0.504056 0.863671i \(-0.331841\pi\)
\(564\) −0.0380018 0.0137631i −0.00160016 0.000579531i
\(565\) 15.4174 + 12.9368i 0.648616 + 0.544254i
\(566\) 6.51019 0.273644
\(567\) −8.99982 + 0.0572628i −0.377957 + 0.00240481i
\(568\) 7.73682 0.324630
\(569\) −8.19819 6.87910i −0.343686 0.288387i 0.454563 0.890715i \(-0.349796\pi\)
−0.798249 + 0.602328i \(0.794240\pi\)
\(570\) −13.0465 4.72505i −0.546458 0.197911i
\(571\) −7.74989 43.9518i −0.324323 1.83933i −0.514393 0.857555i \(-0.671983\pi\)
0.190070 0.981771i \(-0.439128\pi\)
\(572\) 10.1793 + 3.70495i 0.425617 + 0.154912i
\(573\) 19.2558 + 33.2298i 0.804421 + 1.38819i
\(574\) −1.56349 + 8.86699i −0.0652588 + 0.370101i
\(575\) 7.93702 13.7473i 0.330997 0.573303i
\(576\) 0.511543 2.95607i 0.0213143 0.123169i
\(577\) −19.1682 33.2003i −0.797982 1.38215i −0.920928 0.389732i \(-0.872568\pi\)
0.122946 0.992413i \(-0.460766\pi\)
\(578\) −8.75924 + 3.18810i −0.364336 + 0.132608i
\(579\) −2.35553 + 13.4843i −0.0978927 + 0.560388i
\(580\) 0.734573 0.616380i 0.0305015 0.0255938i
\(581\) 7.97790 6.69425i 0.330979 0.277724i
\(582\) 4.27256 + 3.57354i 0.177103 + 0.148128i
\(583\) −6.07588 + 2.21144i −0.251637 + 0.0915884i
\(584\) 5.56535 + 9.63947i 0.230296 + 0.398884i
\(585\) 26.5135 + 9.55470i 1.09620 + 0.395038i
\(586\) −16.7920 + 29.0847i −0.693673 + 1.20148i
\(587\) 2.16615 12.2849i 0.0894066 0.507050i −0.906912 0.421321i \(-0.861567\pi\)
0.996318 0.0857297i \(-0.0273221\pi\)
\(588\) −0.863638 + 1.50138i −0.0356158 + 0.0619157i
\(589\) −25.5720 9.30744i −1.05367 0.383506i
\(590\) −1.49932 8.50307i −0.0617261 0.350066i
\(591\) 6.10183 5.13660i 0.250996 0.211292i
\(592\) 1.38001 + 1.15797i 0.0567182 + 0.0475922i
\(593\) −47.7403 −1.96046 −0.980230 0.197860i \(-0.936601\pi\)
−0.980230 + 0.197860i \(0.936601\pi\)
\(594\) 1.55361 + 8.57160i 0.0637456 + 0.351697i
\(595\) −7.45901 −0.305790
\(596\) 4.50522 + 3.78033i 0.184541 + 0.154848i
\(597\) 0.944775 + 5.30870i 0.0386671 + 0.217270i
\(598\) −6.17101 34.9975i −0.252351 1.43115i
\(599\) −21.2267 7.72589i −0.867300 0.315671i −0.130227 0.991484i \(-0.541570\pi\)
−0.737073 + 0.675813i \(0.763793\pi\)
\(600\) −4.99912 + 0.00795182i −0.204088 + 0.000324632i
\(601\) −6.88656 + 39.0556i −0.280909 + 1.59311i 0.438635 + 0.898665i \(0.355462\pi\)
−0.719544 + 0.694447i \(0.755649\pi\)
\(602\) −2.55677 + 4.42845i −0.104206 + 0.180490i
\(603\) −46.9844 + 0.149471i −1.91335 + 0.00608694i
\(604\) −3.71451 6.43371i −0.151141 0.261784i
\(605\) 11.1883 4.07222i 0.454870 0.165559i
\(606\) −22.1412 + 8.09865i −0.899425 + 0.328985i
\(607\) 25.3809 21.2971i 1.03018 0.864423i 0.0393071 0.999227i \(-0.487485\pi\)
0.990872 + 0.134804i \(0.0430405\pi\)
\(608\) 4.22108 3.54191i 0.171187 0.143643i
\(609\) 1.07287 0.392428i 0.0434750 0.0159020i
\(610\) 9.17325 3.33879i 0.371414 0.135184i
\(611\) 0.0753891 + 0.130578i 0.00304992 + 0.00528261i
\(612\) 15.3912 0.0489641i 0.622154 0.00197926i
\(613\) −1.52968 + 2.64949i −0.0617833 + 0.107012i −0.895263 0.445539i \(-0.853012\pi\)
0.833479 + 0.552551i \(0.186345\pi\)
\(614\) 5.62850 31.9208i 0.227148 1.28822i
\(615\) 22.6732 0.0360649i 0.914270 0.00145428i
\(616\) 1.57538 + 0.573391i 0.0634738 + 0.0231026i
\(617\) −3.44599 19.5432i −0.138731 0.786780i −0.972189 0.234198i \(-0.924754\pi\)
0.833458 0.552582i \(-0.186357\pi\)
\(618\) −4.97969 27.9809i −0.200313 1.12556i
\(619\) 27.4005 + 22.9918i 1.10132 + 0.924118i 0.997513 0.0704799i \(-0.0224530\pi\)
0.103807 + 0.994597i \(0.466897\pi\)
\(620\) 7.18018 0.288363
\(621\) 21.8043 18.4740i 0.874977 0.741336i
\(622\) 5.23900 0.210065
\(623\) −6.34138 5.32105i −0.254062 0.213183i
\(624\) −8.56182 + 7.20746i −0.342747 + 0.288529i
\(625\) −0.388683 2.20433i −0.0155473 0.0881732i
\(626\) 20.4683 + 7.44987i 0.818079 + 0.297757i
\(627\) −7.97812 + 13.8694i −0.318616 + 0.553891i
\(628\) 3.33073 18.8895i 0.132911 0.753774i
\(629\) −4.62119 + 8.00414i −0.184259 + 0.319146i
\(630\) 4.10331 + 1.47872i 0.163480 + 0.0589135i
\(631\) 12.6095 + 21.8403i 0.501976 + 0.869449i 0.999997 + 0.00228358i \(0.000726888\pi\)
−0.498021 + 0.867165i \(0.665940\pi\)
\(632\) −7.73468 + 2.81519i −0.307669 + 0.111982i
\(633\) 1.08120 + 0.904311i 0.0429740 + 0.0359431i
\(634\) 7.90151 6.63015i 0.313809 0.263317i
\(635\) 3.42912 2.87738i 0.136081 0.114185i
\(636\) 1.14953 6.58048i 0.0455817 0.260933i
\(637\) 6.07180 2.20996i 0.240574 0.0875617i
\(638\) −0.552870 0.957599i −0.0218883 0.0379117i
\(639\) 3.95772 22.8706i 0.156565 0.904745i
\(640\) −0.726937 + 1.25909i −0.0287347 + 0.0497700i
\(641\) −5.31359 + 30.1348i −0.209874 + 1.19025i 0.679709 + 0.733482i \(0.262106\pi\)
−0.889583 + 0.456773i \(0.849005\pi\)
\(642\) 9.48711 + 16.3720i 0.374426 + 0.646150i
\(643\) 20.4612 + 7.44725i 0.806909 + 0.293691i 0.712347 0.701828i \(-0.247632\pi\)
0.0945628 + 0.995519i \(0.469855\pi\)
\(644\) −0.955045 5.41633i −0.0376341 0.213433i
\(645\) 12.1073 + 4.38488i 0.476723 + 0.172655i
\(646\) 21.6560 + 18.1715i 0.852044 + 0.714950i
\(647\) 3.85403 0.151518 0.0757588 0.997126i \(-0.475862\pi\)
0.0757588 + 0.997126i \(0.475862\pi\)
\(648\) −8.47665 3.02431i −0.332994 0.118806i
\(649\) −9.95626 −0.390817
\(650\) 14.2863 + 11.9876i 0.560355 + 0.470193i
\(651\) 8.04277 + 2.91285i 0.315221 + 0.114164i
\(652\) 2.28833 + 12.9778i 0.0896181 + 0.508249i
\(653\) −14.1699 5.15742i −0.554511 0.201826i 0.0495385 0.998772i \(-0.484225\pi\)
−0.604050 + 0.796947i \(0.706447\pi\)
\(654\) −7.17622 12.3840i −0.280612 0.484254i
\(655\) 4.63079 26.2625i 0.180940 1.02616i
\(656\) −4.50189 + 7.79750i −0.175769 + 0.304441i
\(657\) 31.3418 11.5205i 1.22276 0.449459i
\(658\) 0.0116675 + 0.0202086i 0.000454845 + 0.000787815i
\(659\) 12.4813 4.54281i 0.486201 0.176963i −0.0872764 0.996184i \(-0.527816\pi\)
0.573477 + 0.819221i \(0.305594\pi\)
\(660\) 0.726475 4.15872i 0.0282780 0.161878i
\(661\) −28.2353 + 23.6922i −1.09823 + 0.921521i −0.997305 0.0733734i \(-0.976624\pi\)
−0.100921 + 0.994894i \(0.532179\pi\)
\(662\) 14.8016 12.4200i 0.575280 0.482718i
\(663\) −44.0433 36.8375i −1.71050 1.43065i
\(664\) 9.78635 3.56194i 0.379784 0.138230i
\(665\) 4.00559 + 6.93789i 0.155330 + 0.269040i
\(666\) 4.12897 3.48706i 0.159994 0.135121i
\(667\) −1.81375 + 3.14151i −0.0702287 + 0.121640i
\(668\) −0.392884 + 2.22816i −0.0152012 + 0.0862100i
\(669\) 5.19112 9.02441i 0.200700 0.348904i
\(670\) 21.3967 + 7.78777i 0.826627 + 0.300868i
\(671\) −1.95470 11.0856i −0.0754602 0.427956i
\(672\) −1.32506 + 1.11545i −0.0511151 + 0.0430294i
\(673\) −6.63229 5.56515i −0.255656 0.214521i 0.505947 0.862564i \(-0.331143\pi\)
−0.761603 + 0.648044i \(0.775587\pi\)
\(674\) −29.3668 −1.13117
\(675\) −2.53376 + 14.7818i −0.0975245 + 0.568952i
\(676\) 28.7507 1.10580
\(677\) 24.3917 + 20.4670i 0.937447 + 0.786612i 0.977139 0.212600i \(-0.0681932\pi\)
−0.0396918 + 0.999212i \(0.512638\pi\)
\(678\) 4.20109 + 23.6059i 0.161342 + 0.906580i
\(679\) −0.558425 3.16699i −0.0214304 0.121538i
\(680\) −7.00918 2.55113i −0.268790 0.0978315i
\(681\) −4.02336 + 0.00639974i −0.154176 + 0.000245238i
\(682\) 1.43773 8.15378i 0.0550536 0.312224i
\(683\) 7.77247 13.4623i 0.297405 0.515121i −0.678136 0.734936i \(-0.737212\pi\)
0.975542 + 0.219815i \(0.0705454\pi\)
\(684\) −8.31085 14.2896i −0.317773 0.546378i
\(685\) −9.81871 17.0065i −0.375154 0.649785i
\(686\) 0.939693 0.342020i 0.0358776 0.0130584i
\(687\) 5.94890 2.17594i 0.226965 0.0830175i
\(688\) −3.91720 + 3.28692i −0.149342 + 0.125313i
\(689\) −19.0902 + 16.0186i −0.727278 + 0.610259i
\(690\) −13.0069 + 4.75758i −0.495166 + 0.181118i
\(691\) −35.3951 + 12.8828i −1.34649 + 0.490083i −0.911851 0.410520i \(-0.865347\pi\)
−0.434641 + 0.900604i \(0.643125\pi\)
\(692\) −6.67641 11.5639i −0.253799 0.439593i
\(693\) 2.50085 4.36361i 0.0949996 0.165760i
\(694\) 8.06379 13.9669i 0.306097 0.530176i
\(695\) 5.44585 30.8849i 0.206573 1.17153i
\(696\) 1.14239 0.00181713i 0.0433021 6.88783e-5i
\(697\) −43.4075 15.7990i −1.64418 0.598432i
\(698\) 0.0590804 + 0.335062i 0.00223623 + 0.0126823i
\(699\) −4.48655 25.2099i −0.169697 0.953527i
\(700\) 2.21099 + 1.85524i 0.0835677 + 0.0701216i
\(701\) 33.1732 1.25294 0.626468 0.779447i \(-0.284500\pi\)
0.626468 + 0.779447i \(0.284500\pi\)
\(702\) 16.9260 + 28.9962i 0.638830 + 1.09439i
\(703\) 9.92657 0.374388
\(704\) 1.28426 + 1.07762i 0.0484024 + 0.0406144i
\(705\) 0.0449539 0.0378428i 0.00169306 0.00142524i
\(706\) 0.799120 + 4.53204i 0.0300753 + 0.170565i
\(707\) 12.7906 + 4.65542i 0.481042 + 0.175085i
\(708\) 5.12896 8.91634i 0.192758 0.335097i
\(709\) −8.77219 + 49.7496i −0.329446 + 1.86838i 0.146937 + 0.989146i \(0.453059\pi\)
−0.476383 + 0.879238i \(0.658053\pi\)
\(710\) −5.62419 + 9.74138i −0.211072 + 0.365587i
\(711\) 4.36528 + 24.3043i 0.163711 + 0.911483i
\(712\) −4.13904 7.16904i −0.155117 0.268671i
\(713\) −25.5240 + 9.28996i −0.955880 + 0.347912i
\(714\) −6.81628 5.70109i −0.255093 0.213358i
\(715\) −12.0646 + 10.1234i −0.451189 + 0.378593i
\(716\) 4.18646 3.51285i 0.156455 0.131281i
\(717\) 4.86538 27.8519i 0.181701 1.04015i
\(718\) 19.5355 7.11033i 0.729058 0.265355i
\(719\) −21.7107 37.6041i −0.809674 1.40240i −0.913090 0.407758i \(-0.866311\pi\)
0.103417 0.994638i \(-0.467022\pi\)
\(720\) 3.35010 + 2.79295i 0.124851 + 0.104087i
\(721\) −8.20431 + 14.2103i −0.305544 + 0.529218i
\(722\) 1.97310 11.1900i 0.0734313 0.416450i
\(723\) −7.63824 13.1814i −0.284069 0.490220i
\(724\) −5.10170 1.85687i −0.189603 0.0690099i
\(725\) −0.330566 1.87473i −0.0122769 0.0696258i
\(726\) 13.3367 + 4.83017i 0.494973 + 0.179264i
\(727\) 0.575185 + 0.482638i 0.0213324 + 0.0179000i 0.653392 0.757020i \(-0.273346\pi\)
−0.632059 + 0.774920i \(0.717790\pi\)
\(728\) 6.46148 0.239478
\(729\) −13.2762 + 23.5105i −0.491712 + 0.870758i
\(730\) −16.1826 −0.598947
\(731\) −20.0969 16.8633i −0.743312 0.623713i
\(732\) 10.9347 + 3.96022i 0.404159 + 0.146374i
\(733\) −3.98653 22.6088i −0.147246 0.835073i −0.965536 0.260268i \(-0.916189\pi\)
0.818290 0.574805i \(-0.194922\pi\)
\(734\) 2.21844 + 0.807447i 0.0818842 + 0.0298034i
\(735\) −1.26256 2.17881i −0.0465702 0.0803665i
\(736\) 0.955045 5.41633i 0.0352034 0.199649i
\(737\) 13.1281 22.7386i 0.483581 0.837587i
\(738\) 20.7470 + 17.2966i 0.763708 + 0.636698i
\(739\) −10.0390 17.3881i −0.369291 0.639630i 0.620164 0.784472i \(-0.287066\pi\)
−0.989455 + 0.144842i \(0.953733\pi\)
\(740\) −2.46117 + 0.895794i −0.0904746 + 0.0329301i
\(741\) −10.6120 + 60.7484i −0.389841 + 2.23165i
\(742\) −2.95446 + 2.47909i −0.108462 + 0.0910102i
\(743\) −16.2467 + 13.6326i −0.596035 + 0.500133i −0.890168 0.455632i \(-0.849413\pi\)
0.294133 + 0.955764i \(0.404969\pi\)
\(744\) 6.56148 + 5.48797i 0.240556 + 0.201199i
\(745\) −8.03481 + 2.92443i −0.294373 + 0.107143i
\(746\) 0.781745 + 1.35402i 0.0286217 + 0.0495743i
\(747\) −5.52319 30.7512i −0.202083 1.12513i
\(748\) −4.30054 + 7.44876i −0.157243 + 0.272354i
\(749\) 1.89705 10.7587i 0.0693168 0.393115i
\(750\) 9.90215 17.2142i 0.361575 0.628574i
\(751\) 28.7050 + 10.4478i 1.04746 + 0.381245i 0.807704 0.589588i \(-0.200710\pi\)
0.239757 + 0.970833i \(0.422932\pi\)
\(752\) 0.00405207 + 0.0229804i 0.000147764 + 0.000838010i
\(753\) 28.8954 24.3245i 1.05301 0.886435i
\(754\) −3.26467 2.73939i −0.118892 0.0997626i
\(755\) 10.8009 0.393083
\(756\) 2.61952 + 4.48755i 0.0952710 + 0.163211i
\(757\) 4.76603 0.173224 0.0866121 0.996242i \(-0.472396\pi\)
0.0866121 + 0.996242i \(0.472396\pi\)
\(758\) 28.1093 + 23.5865i 1.02098 + 0.856701i
\(759\) 2.79823 + 15.7233i 0.101569 + 0.570718i
\(760\) 1.39113 + 7.88948i 0.0504615 + 0.286182i
\(761\) 15.4560 + 5.62552i 0.560279 + 0.203925i 0.606608 0.795001i \(-0.292530\pi\)
−0.0463286 + 0.998926i \(0.514752\pi\)
\(762\) 5.33288 0.00848272i 0.193190 0.000307297i
\(763\) −1.43496 + 8.13808i −0.0519492 + 0.294618i
\(764\) 11.0868 19.2029i 0.401106 0.694736i
\(765\) −11.1268 + 19.4146i −0.402291 + 0.701936i
\(766\) 4.85686 + 8.41233i 0.175486 + 0.303950i
\(767\) −36.0591 + 13.1244i −1.30202 + 0.473896i
\(768\) −1.62665 + 0.594984i −0.0586967 + 0.0214697i
\(769\) 15.0173 12.6010i 0.541536 0.454403i −0.330527 0.943797i \(-0.607226\pi\)
0.872063 + 0.489394i \(0.162782\pi\)
\(770\) −1.86715 + 1.56673i −0.0672875 + 0.0564609i
\(771\) 27.1098 9.91602i 0.976336 0.357117i
\(772\) 7.42644 2.70300i 0.267283 0.0972832i
\(773\) 7.47998 + 12.9557i 0.269036 + 0.465985i 0.968613 0.248573i \(-0.0799615\pi\)
−0.699577 + 0.714557i \(0.746628\pi\)
\(774\) 7.71253 + 13.2609i 0.277221 + 0.476653i
\(775\) 7.12709 12.3445i 0.256013 0.443427i
\(776\) 0.558425 3.16699i 0.0200463 0.113688i
\(777\) −3.12025 + 0.00496321i −0.111938 + 0.000178054i
\(778\) 22.4745 + 8.18004i 0.805749 + 0.293269i
\(779\) 8.61519 + 48.8592i 0.308671 + 1.75056i
\(780\) −2.85095 16.0195i −0.102080 0.573590i
\(781\) 9.93609 + 8.33737i 0.355541 + 0.298335i
\(782\) 28.2168 1.00903
\(783\) 0.579010 3.37791i 0.0206921 0.120717i
\(784\) 1.00000 0.0357143
\(785\) 21.3624 + 17.9252i 0.762458 + 0.639778i
\(786\) 24.3048 20.4601i 0.866923 0.729788i
\(787\) 5.37615 + 30.4896i 0.191639 + 1.08684i 0.917124 + 0.398601i \(0.130504\pi\)
−0.725486 + 0.688237i \(0.758385\pi\)
\(788\) −4.32725 1.57499i −0.154152 0.0561067i
\(789\) 16.0188 27.8476i 0.570285 0.991401i
\(790\) 2.07804 11.7852i 0.0739334 0.419297i
\(791\) 6.92151 11.9884i 0.246101 0.426259i
\(792\) 3.84248 3.24511i 0.136536 0.115310i
\(793\) −21.6926 37.5727i −0.770328 1.33425i
\(794\) 2.26180 0.823228i 0.0802683 0.0292153i
\(795\) 7.44980 + 6.23096i 0.264217 + 0.220989i
\(796\) 2.38480 2.00109i 0.0845270 0.0709266i
\(797\) 6.44926 5.41157i 0.228444 0.191688i −0.521380 0.853325i \(-0.674582\pi\)
0.749824 + 0.661637i \(0.230138\pi\)
\(798\) −1.64235 + 9.40163i −0.0581384 + 0.332814i
\(799\) −0.112499 + 0.0409461i −0.00397991 + 0.00144857i
\(800\) 1.44312 + 2.49956i 0.0510221 + 0.0883729i
\(801\) −23.3094 + 8.56802i −0.823599 + 0.302736i
\(802\) −6.52223 + 11.2968i −0.230308 + 0.398905i
\(803\) −3.24035 + 18.3769i −0.114349 + 0.648508i
\(804\) 13.6006 + 23.4707i 0.479657 + 0.827748i
\(805\) 7.51392 + 2.73484i 0.264831 + 0.0963906i
\(806\) −5.54129 31.4262i −0.195184 1.10694i
\(807\) −34.1405 12.3647i −1.20180 0.435256i
\(808\) 10.4270 + 8.74932i 0.366822 + 0.307800i
\(809\) −15.5557 −0.546909 −0.273455 0.961885i \(-0.588166\pi\)
−0.273455 + 0.961885i \(0.588166\pi\)
\(810\) 9.96988 8.47440i 0.350306 0.297760i
\(811\) −7.07470 −0.248426 −0.124213 0.992256i \(-0.539641\pi\)
−0.124213 + 0.992256i \(0.539641\pi\)
\(812\) −0.505252 0.423957i −0.0177309 0.0148780i
\(813\) −31.3015 11.3365i −1.09779 0.397587i
\(814\) 0.524443 + 2.97427i 0.0183817 + 0.104248i
\(815\) −18.0037 6.55281i −0.630642 0.229535i
\(816\) −4.45532 7.68858i −0.155968 0.269154i
\(817\) −4.89285 + 27.7487i −0.171179 + 0.970804i
\(818\) −12.2690 + 21.2505i −0.428976 + 0.743008i
\(819\) 3.30533 19.1006i 0.115497 0.667428i
\(820\) −6.54518 11.3366i −0.228568 0.395891i
\(821\) 42.7861 15.5729i 1.49325 0.543497i 0.538943 0.842342i \(-0.318824\pi\)
0.954302 + 0.298845i \(0.0966014\pi\)
\(822\) 4.02580 23.0457i 0.140416 0.803813i
\(823\) 18.1934 15.2661i 0.634183 0.532142i −0.268043 0.963407i \(-0.586377\pi\)
0.902225 + 0.431265i \(0.141932\pi\)
\(824\) −12.5697 + 10.5473i −0.437887 + 0.367431i
\(825\) −6.42874 5.37695i −0.223820 0.187201i
\(826\) −5.58063 + 2.03118i −0.194175 + 0.0706739i
\(827\) −27.4146 47.4834i −0.953298 1.65116i −0.738216 0.674564i \(-0.764332\pi\)
−0.215081 0.976596i \(-0.569002\pi\)
\(828\) −15.5225 5.59386i −0.539444 0.194400i
\(829\) 0.434526 0.752621i 0.0150917 0.0261396i −0.858381 0.513013i \(-0.828529\pi\)
0.873473 + 0.486873i \(0.161863\pi\)
\(830\) −2.62925 + 14.9112i −0.0912626 + 0.517576i
\(831\) 7.08142 12.3106i 0.245652 0.427049i
\(832\) 6.07180 + 2.20996i 0.210502 + 0.0766164i
\(833\) 0.890891 + 5.05249i 0.0308675 + 0.175059i
\(834\) 28.5826 24.0613i 0.989736 0.833173i
\(835\) −2.51986 2.11441i −0.0872032 0.0731722i
\(836\) 9.23780 0.319496
\(837\) 19.5793 16.5888i 0.676759 0.573394i
\(838\) −24.9547 −0.862047
\(839\) 12.6251 + 10.5938i 0.435868 + 0.365737i 0.834161 0.551522i \(-0.185953\pi\)
−0.398292 + 0.917259i \(0.630397\pi\)
\(840\) −0.441222 2.47923i −0.0152236 0.0855415i
\(841\) −4.96026 28.1310i −0.171043 0.970035i
\(842\) 29.6213 + 10.7813i 1.02082 + 0.371547i
\(843\) 10.3542 0.0164699i 0.356618 0.000567253i
\(844\) 0.141314 0.801430i 0.00486422 0.0275864i
\(845\) −20.9000 + 36.1998i −0.718981 + 1.24531i
\(846\) 0.0700045 0.000222705i 0.00240680 7.65675e-6i
\(847\) −4.09470 7.09224i −0.140696 0.243692i
\(848\) −3.62418 + 1.31909i −0.124455 + 0.0452979i
\(849\) −10.5898 + 3.87346i −0.363441 + 0.132937i
\(850\) −11.3434 + 9.51821i −0.389074 + 0.326472i
\(851\) 7.58992 6.36870i 0.260179 0.218316i
\(852\) −12.5851 + 4.60329i −0.431159 + 0.157706i
\(853\) 3.63897 1.32448i 0.124596 0.0453493i −0.278970 0.960300i \(-0.589993\pi\)
0.403566 + 0.914951i \(0.367771\pi\)
\(854\) −3.35722 5.81488i −0.114882 0.198981i
\(855\) 24.0334 0.0764575i 0.821926 0.00261479i
\(856\) 5.46234 9.46106i 0.186699 0.323372i
\(857\) −4.53325 + 25.7094i −0.154853 + 0.878215i 0.804067 + 0.594539i \(0.202665\pi\)
−0.958920 + 0.283676i \(0.908446\pi\)
\(858\) −18.7625 + 0.0298445i −0.640542 + 0.00101887i
\(859\) −9.09086 3.30880i −0.310176 0.112895i 0.182242 0.983254i \(-0.441665\pi\)
−0.492418 + 0.870359i \(0.663887\pi\)
\(860\) −1.29098 7.32150i −0.0440220 0.249661i
\(861\) −2.73247 15.3538i −0.0931223 0.523254i
\(862\) 2.84422 + 2.38658i 0.0968744 + 0.0812873i
\(863\) 34.6624 1.17992 0.589960 0.807432i \(-0.299143\pi\)
0.589960 + 0.807432i \(0.299143\pi\)
\(864\) 0.926711 + 5.11285i 0.0315273 + 0.173943i
\(865\) 19.4133 0.660073
\(866\) −1.87112 1.57006i −0.0635834 0.0533528i
\(867\) 12.3514 10.3975i 0.419474 0.353119i
\(868\) −0.857588 4.86362i −0.0291084 0.165082i
\(869\) −12.9671 4.71962i −0.439877 0.160102i
\(870\) −0.828157 + 1.43969i −0.0280772 + 0.0488102i
\(871\) 17.5726 99.6593i 0.595425 3.37683i
\(872\) −4.13181 + 7.15651i −0.139921 + 0.242350i
\(873\) −9.07616 3.27079i −0.307182 0.110700i
\(874\) −15.1528 26.2455i −0.512552 0.887766i
\(875\) −10.7742 + 3.92147i −0.364233 + 0.132570i
\(876\) −14.7882 12.3688i −0.499648 0.417902i
\(877\) 44.5856 37.4118i 1.50555 1.26331i 0.633648 0.773621i \(-0.281557\pi\)
0.871900 0.489684i \(-0.162888\pi\)
\(878\) −18.4671 + 15.4958i −0.623235 + 0.522956i
\(879\) 10.0099 57.3016i 0.337624 1.93274i
\(880\) −2.29040 + 0.833638i −0.0772094 + 0.0281019i
\(881\) 25.1682 + 43.5926i 0.847939 + 1.46867i 0.883044 + 0.469289i \(0.155490\pi\)
−0.0351057 + 0.999384i \(0.511177\pi\)
\(882\) 0.511543 2.95607i 0.0172246 0.0995359i
\(883\) −16.2191 + 28.0923i −0.545815 + 0.945380i 0.452740 + 0.891643i \(0.350447\pi\)
−0.998555 + 0.0537373i \(0.982887\pi\)
\(884\) −5.75647 + 32.6466i −0.193611 + 1.09802i
\(885\) 7.49807 + 12.9395i 0.252045 + 0.434955i
\(886\) −20.7020 7.53492i −0.695498 0.253140i
\(887\) −2.34281 13.2868i −0.0786640 0.446126i −0.998545 0.0539277i \(-0.982826\pi\)
0.919881 0.392198i \(-0.128285\pi\)
\(888\) −2.93377 1.06253i −0.0984510 0.0356560i
\(889\) −2.35861 1.97911i −0.0791052 0.0663772i
\(890\) 12.0353 0.403424
\(891\) −7.62715 13.0186i −0.255519 0.436140i
\(892\) −6.01076 −0.201255
\(893\) 0.0984987 + 0.0826502i 0.00329613 + 0.00276578i
\(894\) −9.57767 3.46874i −0.320325 0.116012i
\(895\) 1.37972 + 7.82476i 0.0461188 + 0.261553i
\(896\) 0.939693 + 0.342020i 0.0313929 + 0.0114261i
\(897\) 30.8611 + 53.2571i 1.03042 + 1.77820i
\(898\) −2.58842 + 14.6797i −0.0863767 + 0.489867i
\(899\) −1.62867 + 2.82094i −0.0543191 + 0.0940835i
\(900\) 8.12709 2.98733i 0.270903 0.0995778i
\(901\) −9.89347 17.1360i −0.329599 0.570883i
\(902\) −14.1844 + 5.16268i −0.472287 + 0.171899i
\(903\) 1.52411 8.72478i 0.0507192 0.290343i
\(904\) 10.6044 8.89813i 0.352696 0.295947i
\(905\) 6.04658 5.07369i 0.200995 0.168655i
\(906\) 9.87016 + 8.25533i 0.327914 + 0.274265i
\(907\) 9.83599 3.58001i 0.326599 0.118872i −0.173517 0.984831i \(-0.555513\pi\)
0.500115 + 0.865959i \(0.333291\pi\)
\(908\) 1.16145 + 2.01168i 0.0385439 + 0.0667600i
\(909\) 31.1974 26.3473i 1.03475 0.873886i
\(910\) −4.69709 + 8.13560i −0.155707 + 0.269693i
\(911\) −8.68255 + 49.2412i −0.287666 + 1.63143i 0.407940 + 0.913009i \(0.366247\pi\)
−0.695605 + 0.718424i \(0.744864\pi\)
\(912\) −4.75885 + 8.27293i −0.157581 + 0.273944i
\(913\) 16.4066 + 5.97153i 0.542980 + 0.197629i
\(914\) −1.26954 7.19992i −0.0419927 0.238152i
\(915\) −12.9351 + 10.8890i −0.427623 + 0.359979i
\(916\) −2.80154 2.35077i −0.0925654 0.0776716i
\(917\) −18.3425 −0.605722
\(918\) −25.0070 + 9.23719i −0.825355 + 0.304873i
\(919\) −21.8982 −0.722355 −0.361177 0.932497i \(-0.617625\pi\)
−0.361177 + 0.932497i \(0.617625\pi\)
\(920\) 6.12540 + 5.13982i 0.201949 + 0.169455i
\(921\) 9.83679 + 55.2729i 0.324133 + 1.82130i
\(922\) −5.24829 29.7646i −0.172843 0.980243i
\(923\) 46.9765 + 17.0980i 1.54625 + 0.562789i
\(924\) −2.90375 + 0.00461883i −0.0955263 + 0.000151948i
\(925\) −0.902887 + 5.12053i −0.0296867 + 0.168362i
\(926\) 1.71070 2.96303i 0.0562172 0.0973711i
\(927\) 24.7484 + 42.5523i 0.812845 + 1.39760i
\(928\) −0.329780 0.571195i −0.0108255 0.0187504i
\(929\) 13.3132 4.84560i 0.436791 0.158979i −0.114259 0.993451i \(-0.536449\pi\)
0.551050 + 0.834472i \(0.314227\pi\)
\(930\) −11.6797 + 4.27210i −0.382991 + 0.140088i
\(931\) 4.22108 3.54191i 0.138340 0.116081i
\(932\) −11.3249 + 9.50275i −0.370961 + 0.311273i
\(933\) −8.52203 + 3.11712i −0.278999 + 0.102050i
\(934\) 0.134796 0.0490617i 0.00441066 0.00160535i
\(935\) −6.25245 10.8296i −0.204477 0.354165i
\(936\) 9.63877 16.8182i 0.315053 0.549719i
\(937\) 19.9027 34.4726i 0.650194 1.12617i −0.332882 0.942969i \(-0.608021\pi\)
0.983076 0.183200i \(-0.0586457\pi\)
\(938\) 2.71960 15.4236i 0.0887980 0.503598i
\(939\) −37.7274 + 0.0600109i −1.23119 + 0.00195838i
\(940\) −0.0318801 0.0116034i −0.00103981 0.000378461i
\(941\) −7.40042 41.9699i −0.241247 1.36818i −0.829050 0.559174i \(-0.811118\pi\)
0.587803 0.809004i \(-0.299993\pi\)
\(942\) 5.82103 + 32.7084i 0.189660 + 1.06570i
\(943\) 37.9343 + 31.8307i 1.23531 + 1.03655i
\(944\) −5.93878 −0.193291
\(945\) −7.55447 + 0.0360497i −0.245747 + 0.00117270i
\(946\) −8.57275 −0.278724
\(947\) 13.8597 + 11.6297i 0.450380 + 0.377914i 0.839577 0.543241i \(-0.182803\pi\)
−0.389197 + 0.921155i \(0.627247\pi\)
\(948\) 10.9066 9.18135i 0.354231 0.298197i
\(949\) 12.4889 + 70.8282i 0.405407 + 2.29918i
\(950\) 14.9448 + 5.43945i 0.484872 + 0.176479i
\(951\) −8.90816 + 15.4862i −0.288867 + 0.502175i
\(952\) −0.890891 + 5.05249i −0.0288739 + 0.163752i
\(953\) −14.2545 + 24.6895i −0.461747 + 0.799770i −0.999048 0.0436207i \(-0.986111\pi\)
0.537301 + 0.843391i \(0.319444\pi\)
\(954\) 2.04541 + 11.3881i 0.0662224 + 0.368703i
\(955\) 16.1188 + 27.9186i 0.521592 + 0.903424i
\(956\) −15.3394 + 5.58308i −0.496111 + 0.180570i
\(957\) 1.46908 + 1.22873i 0.0474887 + 0.0397192i
\(958\) −9.73206 + 8.16617i −0.314429 + 0.263837i
\(959\) −10.3469 + 8.68210i −0.334120 + 0.280360i
\(960\) 0.433333 2.48062i 0.0139858 0.0800617i
\(961\) 6.21108 2.26065i 0.200358 0.0729242i
\(962\) 5.82011 + 10.0807i 0.187648 + 0.325016i
\(963\) −25.1733 20.9868i −0.811198 0.676290i
\(964\) −4.39783 + 7.61726i −0.141645 + 0.245335i
\(965\) −1.99523 + 11.3155i −0.0642286 + 0.364258i
\(966\) 4.77616 + 8.24224i 0.153670 + 0.265190i
\(967\) −15.3137 5.57373i −0.492455 0.179239i 0.0838424 0.996479i \(-0.473281\pi\)
−0.576297 + 0.817240i \(0.695503\pi\)
\(968\) −1.42208 8.06499i −0.0457072 0.259219i
\(969\) −46.0385 16.6738i −1.47897 0.535639i
\(970\) 3.58159 + 3.00531i 0.114998 + 0.0964947i
\(971\) 22.9057 0.735078 0.367539 0.930008i \(-0.380200\pi\)
0.367539 + 0.930008i \(0.380200\pi\)
\(972\) 15.5880 0.123977i 0.499984 0.00397657i
\(973\) −21.5709 −0.691531
\(974\) −12.0840 10.1397i −0.387197 0.324897i
\(975\) −30.3713 10.9996i −0.972659 0.352268i
\(976\) −1.16595 6.61244i −0.0373212 0.211659i
\(977\) 39.3121 + 14.3084i 1.25770 + 0.457767i 0.882998 0.469376i \(-0.155521\pi\)
0.374706 + 0.927144i \(0.377744\pi\)
\(978\) −11.4439 19.7488i −0.365936 0.631497i
\(979\) 2.40990 13.6672i 0.0770208 0.436807i
\(980\) −0.726937 + 1.25909i −0.0232212 + 0.0402202i
\(981\) 19.0415 + 15.8748i 0.607949 + 0.506843i
\(982\) −20.8615 36.1331i −0.665717 1.15306i
\(983\) 12.5102 4.55336i 0.399015 0.145230i −0.134715 0.990884i \(-0.543012\pi\)
0.533730 + 0.845655i \(0.320790\pi\)
\(984\) 2.68361 15.3624i 0.0855504 0.489734i
\(985\) 5.12869 4.30349i 0.163414 0.137120i
\(986\) 2.59216 2.17508i 0.0825513 0.0692687i
\(987\) −0.0310027 0.0259305i −0.000986828 0.000825375i
\(988\) 33.4571 12.1774i 1.06441 0.387414i
\(989\) 14.0619 + 24.3560i 0.447144 + 0.774475i
\(990\) 1.29265 + 7.19702i 0.0410831 + 0.228736i
\(991\) −3.54599 + 6.14183i −0.112642 + 0.195102i −0.916835 0.399267i \(-0.869265\pi\)
0.804193 + 0.594369i \(0.202598\pi\)
\(992\) 0.857588 4.86362i 0.0272285 0.154420i
\(993\) −16.6873 + 29.0098i −0.529556 + 0.920597i
\(994\) 7.27023 + 2.64615i 0.230598 + 0.0839307i
\(995\) 0.785951 + 4.45735i 0.0249163 + 0.141307i
\(996\) −13.7997 + 11.6168i −0.437259 + 0.368091i
\(997\) 45.9257 + 38.5362i 1.45448 + 1.22045i 0.929227 + 0.369509i \(0.120474\pi\)
0.525254 + 0.850945i \(0.323970\pi\)
\(998\) −3.10111 −0.0981639
\(999\) −4.64165 + 8.12890i −0.146855 + 0.257187i
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 \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 378.2.u.d.43.1 30
27.22 even 9 inner 378.2.u.d.211.1 yes 30
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
378.2.u.d.43.1 30 1.1 even 1 trivial
378.2.u.d.211.1 yes 30 27.22 even 9 inner