Properties

Label 403.2.bk.a.9.10
Level $403$
Weight $2$
Character 403.9
Analytic conductor $3.218$
Analytic rank $0$
Dimension $280$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [403,2,Mod(9,403)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(403, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([20, 2]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("403.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 403 = 13 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 403.bk (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 9.10
Character \(\chi\) \(=\) 403.9
Dual form 403.2.bk.a.224.10

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.769629 - 0.854759i) q^{2} +(1.59325 - 1.76948i) q^{3} +(0.0707719 - 0.673349i) q^{4} +(-0.220512 - 0.381938i) q^{5} -2.73870 q^{6} +(-1.17517 - 0.853812i) q^{7} +(-2.49107 + 1.80987i) q^{8} +(-0.279042 - 2.65490i) q^{9} +O(q^{10})\) \(q+(-0.769629 - 0.854759i) q^{2} +(1.59325 - 1.76948i) q^{3} +(0.0707719 - 0.673349i) q^{4} +(-0.220512 - 0.381938i) q^{5} -2.73870 q^{6} +(-1.17517 - 0.853812i) q^{7} +(-2.49107 + 1.80987i) q^{8} +(-0.279042 - 2.65490i) q^{9} +(-0.156753 + 0.482435i) q^{10} +(-0.280365 - 0.203697i) q^{11} +(-1.07872 - 1.19804i) q^{12} +(-3.45786 - 1.02137i) q^{13} +(0.174642 + 1.66161i) q^{14} +(-1.02717 - 0.218331i) q^{15} +(2.13967 + 0.454802i) q^{16} +(1.66028 - 1.20627i) q^{17} +(-2.05454 + 2.28180i) q^{18} +(-0.0393130 + 0.120993i) q^{19} +(-0.272784 + 0.121451i) q^{20} +(-3.38315 + 0.719111i) q^{21} +(0.0416650 + 0.396416i) q^{22} +(-0.355874 - 3.38592i) q^{23} +(-0.766366 + 7.29148i) q^{24} +(2.40275 - 4.16168i) q^{25} +(1.78825 + 3.74171i) q^{26} +(0.636601 + 0.462518i) q^{27} +(-0.658083 + 0.730875i) q^{28} +(3.11234 + 3.45660i) q^{29} +(0.603916 + 1.04601i) q^{30} +(5.45192 - 1.12984i) q^{31} +(1.82112 + 3.15428i) q^{32} +(-0.807131 + 0.171561i) q^{33} +(-2.30887 - 0.490765i) q^{34} +(-0.0669639 + 0.637119i) q^{35} -1.80742 q^{36} +(-1.91532 - 3.31743i) q^{37} +(0.133676 - 0.0595165i) q^{38} +(-7.31654 + 4.49134i) q^{39} +(1.24057 + 0.552337i) q^{40} +(-0.476089 + 1.46525i) q^{41} +(3.21844 + 2.33833i) q^{42} +(0.317389 - 0.976823i) q^{43} +(-0.157001 + 0.174368i) q^{44} +(-0.952477 + 0.692015i) q^{45} +(-2.62025 + 2.91008i) q^{46} +(-0.313383 - 0.964492i) q^{47} +(4.21380 - 3.06151i) q^{48} +(-1.51109 - 4.65064i) q^{49} +(-5.40646 + 1.14918i) q^{50} +(0.510778 - 4.85973i) q^{51} +(-0.932455 + 2.25606i) q^{52} +(2.18662 + 0.973544i) q^{53} +(-0.0946052 - 0.900108i) q^{54} +(-0.0159758 + 0.152000i) q^{55} +4.47272 q^{56} +(0.151460 + 0.262336i) q^{57} +(0.559218 - 5.32060i) q^{58} +(0.00245451 + 0.00755422i) q^{59} +(-0.219707 + 0.676189i) q^{60} +(-0.954694 - 1.65358i) q^{61} +(-5.16170 - 3.79052i) q^{62} +(-1.93887 + 3.35822i) q^{63} +(2.64649 - 8.14507i) q^{64} +(0.372402 + 1.54591i) q^{65} +(0.767834 + 0.557864i) q^{66} -8.44149 q^{67} +(-0.694737 - 1.20332i) q^{68} +(-6.55832 - 4.76490i) q^{69} +(0.596121 - 0.433107i) q^{70} +(1.14408 + 10.8852i) q^{71} +(5.50013 + 6.10852i) q^{72} +(0.275055 - 2.61698i) q^{73} +(-1.36152 + 4.19033i) q^{74} +(-3.53585 - 10.8822i) q^{75} +(0.0786882 + 0.0350342i) q^{76} +(0.155558 + 0.478758i) q^{77} +(9.47003 + 2.79721i) q^{78} +(-0.315965 - 3.00620i) q^{79} +(-0.298118 - 0.917513i) q^{80} +(9.66626 - 2.05463i) q^{81} +(1.61885 - 0.720757i) q^{82} +(5.80841 - 1.23462i) q^{83} +(0.244781 + 2.32894i) q^{84} +(-0.826831 - 0.368129i) q^{85} +(-1.07922 + 0.480500i) q^{86} +11.0751 q^{87} +1.06707 q^{88} +(11.1256 - 4.95343i) q^{89} +(1.32456 + 0.281544i) q^{90} +(3.19153 + 4.15265i) q^{91} -2.30509 q^{92} +(6.68705 - 11.4472i) q^{93} +(-0.583221 + 1.01017i) q^{94} +(0.0548808 - 0.0116653i) q^{95} +(8.48295 + 1.80311i) q^{96} +(0.0260009 - 0.247382i) q^{97} +(-2.81221 + 4.87088i) q^{98} +(-0.462563 + 0.801182i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280 q - 3 q^{2} - 9 q^{3} + 29 q^{4} - 8 q^{5} - 10 q^{6} - 13 q^{7} - 29 q^{8} + 24 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 280 q - 3 q^{2} - 9 q^{3} + 29 q^{4} - 8 q^{5} - 10 q^{6} - 13 q^{7} - 29 q^{8} + 24 q^{9} - 9 q^{10} - 6 q^{11} - 50 q^{12} - 6 q^{13} - 21 q^{15} + 23 q^{16} + 3 q^{17} - 15 q^{18} - 9 q^{19} + 60 q^{20} - 34 q^{21} + 41 q^{22} - 12 q^{23} - 89 q^{24} - 112 q^{25} + 39 q^{26} + 48 q^{27} + 66 q^{28} - 11 q^{29} + 24 q^{30} - 22 q^{31} + q^{32} - 37 q^{33} - 49 q^{34} + 41 q^{35} + 134 q^{36} + 17 q^{37} - 23 q^{38} + 10 q^{39} + 31 q^{40} + q^{41} - 71 q^{42} - 7 q^{43} - 42 q^{44} - 13 q^{45} + 21 q^{46} - 20 q^{47} - 3 q^{48} - 69 q^{49} - 42 q^{50} - 71 q^{51} - 140 q^{52} - 8 q^{53} - 149 q^{54} + 5 q^{55} - 126 q^{56} + 21 q^{57} + 79 q^{58} + 77 q^{59} + 2 q^{60} + 53 q^{61} + 72 q^{62} + 17 q^{63} - 91 q^{64} - 25 q^{65} - 62 q^{66} - 14 q^{67} + 83 q^{68} - 31 q^{69} + 134 q^{70} + 32 q^{71} - 70 q^{72} - 31 q^{73} + 51 q^{74} + 79 q^{75} + 98 q^{76} - 80 q^{77} - 141 q^{78} - 142 q^{79} + 6 q^{80} + 66 q^{81} - 48 q^{82} + 94 q^{83} + 130 q^{84} + 90 q^{85} - 34 q^{86} + 22 q^{87} - 122 q^{88} - 15 q^{89} + 43 q^{90} + 56 q^{91} - 294 q^{92} - 52 q^{93} - 57 q^{94} + 94 q^{95} + 24 q^{96} + 46 q^{97} + 73 q^{98} + 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(e\left(\frac{1}{15}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.769629 0.854759i −0.544210 0.604406i 0.406819 0.913509i \(-0.366638\pi\)
−0.951029 + 0.309103i \(0.899971\pi\)
\(3\) 1.59325 1.76948i 0.919864 1.02161i −0.0798282 0.996809i \(-0.525437\pi\)
0.999692 0.0248039i \(-0.00789615\pi\)
\(4\) 0.0707719 0.673349i 0.0353859 0.336675i
\(5\) −0.220512 0.381938i −0.0986160 0.170808i 0.812496 0.582967i \(-0.198108\pi\)
−0.911112 + 0.412159i \(0.864775\pi\)
\(6\) −2.73870 −1.11807
\(7\) −1.17517 0.853812i −0.444173 0.322711i 0.343118 0.939292i \(-0.388517\pi\)
−0.787291 + 0.616582i \(0.788517\pi\)
\(8\) −2.49107 + 1.80987i −0.880726 + 0.639885i
\(9\) −0.279042 2.65490i −0.0930138 0.884968i
\(10\) −0.156753 + 0.482435i −0.0495696 + 0.152559i
\(11\) −0.280365 0.203697i −0.0845332 0.0614170i 0.544716 0.838621i \(-0.316637\pi\)
−0.629249 + 0.777204i \(0.716637\pi\)
\(12\) −1.07872 1.19804i −0.311401 0.345846i
\(13\) −3.45786 1.02137i −0.959038 0.283276i
\(14\) 0.174642 + 1.66161i 0.0466750 + 0.444083i
\(15\) −1.02717 0.218331i −0.265213 0.0563727i
\(16\) 2.13967 + 0.454802i 0.534919 + 0.113700i
\(17\) 1.66028 1.20627i 0.402678 0.292562i −0.367953 0.929844i \(-0.619941\pi\)
0.770631 + 0.637282i \(0.219941\pi\)
\(18\) −2.05454 + 2.28180i −0.484261 + 0.537826i
\(19\) −0.0393130 + 0.120993i −0.00901901 + 0.0277577i −0.955465 0.295105i \(-0.904645\pi\)
0.946446 + 0.322863i \(0.104645\pi\)
\(20\) −0.272784 + 0.121451i −0.0609963 + 0.0271573i
\(21\) −3.38315 + 0.719111i −0.738264 + 0.156923i
\(22\) 0.0416650 + 0.396416i 0.00888300 + 0.0845161i
\(23\) −0.355874 3.38592i −0.0742049 0.706012i −0.966866 0.255284i \(-0.917831\pi\)
0.892661 0.450728i \(-0.148836\pi\)
\(24\) −0.766366 + 7.29148i −0.156434 + 1.48837i
\(25\) 2.40275 4.16168i 0.480550 0.832337i
\(26\) 1.78825 + 3.74171i 0.350704 + 0.733810i
\(27\) 0.636601 + 0.462518i 0.122514 + 0.0890116i
\(28\) −0.658083 + 0.730875i −0.124366 + 0.138122i
\(29\) 3.11234 + 3.45660i 0.577947 + 0.641875i 0.959245 0.282577i \(-0.0911894\pi\)
−0.381298 + 0.924452i \(0.624523\pi\)
\(30\) 0.603916 + 1.04601i 0.110259 + 0.190975i
\(31\) 5.45192 1.12984i 0.979194 0.202925i
\(32\) 1.82112 + 3.15428i 0.321932 + 0.557603i
\(33\) −0.807131 + 0.171561i −0.140503 + 0.0298649i
\(34\) −2.30887 0.490765i −0.395968 0.0841655i
\(35\) −0.0669639 + 0.637119i −0.0113190 + 0.107693i
\(36\) −1.80742 −0.301237
\(37\) −1.91532 3.31743i −0.314877 0.545383i 0.664534 0.747258i \(-0.268630\pi\)
−0.979411 + 0.201875i \(0.935297\pi\)
\(38\) 0.133676 0.0595165i 0.0216851 0.00965484i
\(39\) −7.31654 + 4.49134i −1.17158 + 0.719190i
\(40\) 1.24057 + 0.552337i 0.196151 + 0.0873321i
\(41\) −0.476089 + 1.46525i −0.0743525 + 0.228834i −0.981325 0.192356i \(-0.938387\pi\)
0.906973 + 0.421189i \(0.138387\pi\)
\(42\) 3.21844 + 2.33833i 0.496616 + 0.360813i
\(43\) 0.317389 0.976823i 0.0484014 0.148964i −0.923935 0.382550i \(-0.875046\pi\)
0.972336 + 0.233586i \(0.0750460\pi\)
\(44\) −0.157001 + 0.174368i −0.0236688 + 0.0262869i
\(45\) −0.952477 + 0.692015i −0.141987 + 0.103159i
\(46\) −2.62025 + 2.91008i −0.386335 + 0.429069i
\(47\) −0.313383 0.964492i −0.0457115 0.140686i 0.925596 0.378513i \(-0.123565\pi\)
−0.971307 + 0.237828i \(0.923565\pi\)
\(48\) 4.21380 3.06151i 0.608210 0.441891i
\(49\) −1.51109 4.65064i −0.215869 0.664378i
\(50\) −5.40646 + 1.14918i −0.764589 + 0.162518i
\(51\) 0.510778 4.85973i 0.0715232 0.680498i
\(52\) −0.932455 + 2.25606i −0.129308 + 0.312860i
\(53\) 2.18662 + 0.973544i 0.300355 + 0.133727i 0.551381 0.834254i \(-0.314101\pi\)
−0.251026 + 0.967980i \(0.580768\pi\)
\(54\) −0.0946052 0.900108i −0.0128741 0.122489i
\(55\) −0.0159758 + 0.152000i −0.00215418 + 0.0204957i
\(56\) 4.47272 0.597693
\(57\) 0.151460 + 0.262336i 0.0200613 + 0.0347472i
\(58\) 0.559218 5.32060i 0.0734289 0.698629i
\(59\) 0.00245451 + 0.00755422i 0.000319551 + 0.000983476i 0.951216 0.308525i \(-0.0998354\pi\)
−0.950897 + 0.309509i \(0.899835\pi\)
\(60\) −0.219707 + 0.676189i −0.0283641 + 0.0872956i
\(61\) −0.954694 1.65358i −0.122236 0.211719i 0.798413 0.602110i \(-0.205673\pi\)
−0.920649 + 0.390391i \(0.872340\pi\)
\(62\) −5.16170 3.79052i −0.655536 0.481397i
\(63\) −1.93887 + 3.35822i −0.244274 + 0.423095i
\(64\) 2.64649 8.14507i 0.330812 1.01813i
\(65\) 0.372402 + 1.54591i 0.0461908 + 0.191747i
\(66\) 0.767834 + 0.557864i 0.0945139 + 0.0686684i
\(67\) −8.44149 −1.03129 −0.515646 0.856802i \(-0.672448\pi\)
−0.515646 + 0.856802i \(0.672448\pi\)
\(68\) −0.694737 1.20332i −0.0842492 0.145924i
\(69\) −6.55832 4.76490i −0.789529 0.573627i
\(70\) 0.596121 0.433107i 0.0712501 0.0517662i
\(71\) 1.14408 + 10.8852i 0.135777 + 1.29183i 0.824106 + 0.566435i \(0.191678\pi\)
−0.688329 + 0.725398i \(0.741656\pi\)
\(72\) 5.50013 + 6.10852i 0.648197 + 0.719896i
\(73\) 0.275055 2.61698i 0.0321928 0.306294i −0.966563 0.256429i \(-0.917454\pi\)
0.998756 0.0498652i \(-0.0158792\pi\)
\(74\) −1.36152 + 4.19033i −0.158274 + 0.487116i
\(75\) −3.53585 10.8822i −0.408285 1.25657i
\(76\) 0.0786882 + 0.0350342i 0.00902615 + 0.00401870i
\(77\) 0.155558 + 0.478758i 0.0177275 + 0.0545596i
\(78\) 9.47003 + 2.79721i 1.07227 + 0.316722i
\(79\) −0.315965 3.00620i −0.0355488 0.338224i −0.997813 0.0661059i \(-0.978942\pi\)
0.962264 0.272118i \(-0.0877242\pi\)
\(80\) −0.298118 0.917513i −0.0333306 0.102581i
\(81\) 9.66626 2.05463i 1.07403 0.228292i
\(82\) 1.61885 0.720757i 0.178772 0.0795943i
\(83\) 5.80841 1.23462i 0.637556 0.135517i 0.122217 0.992503i \(-0.461000\pi\)
0.515338 + 0.856987i \(0.327666\pi\)
\(84\) 0.244781 + 2.32894i 0.0267078 + 0.254108i
\(85\) −0.826831 0.368129i −0.0896825 0.0399292i
\(86\) −1.07922 + 0.480500i −0.116375 + 0.0518136i
\(87\) 11.0751 1.18738
\(88\) 1.06707 0.113750
\(89\) 11.1256 4.95343i 1.17931 0.525062i 0.278991 0.960294i \(-0.410000\pi\)
0.900319 + 0.435231i \(0.143333\pi\)
\(90\) 1.32456 + 0.281544i 0.139621 + 0.0296773i
\(91\) 3.19153 + 4.15265i 0.334563 + 0.435316i
\(92\) −2.30509 −0.240322
\(93\) 6.68705 11.4472i 0.693415 1.18702i
\(94\) −0.583221 + 1.01017i −0.0601546 + 0.104191i
\(95\) 0.0548808 0.0116653i 0.00563065 0.00119683i
\(96\) 8.48295 + 1.80311i 0.865787 + 0.184029i
\(97\) 0.0260009 0.247382i 0.00263999 0.0251178i −0.993123 0.117079i \(-0.962647\pi\)
0.995763 + 0.0919612i \(0.0293136\pi\)
\(98\) −2.81221 + 4.87088i −0.284076 + 0.492033i
\(99\) −0.462563 + 0.801182i −0.0464893 + 0.0805218i
\(100\) −2.63222 1.91242i −0.263222 0.191242i
\(101\) 1.31033 + 12.4669i 0.130382 + 1.24051i 0.842597 + 0.538544i \(0.181025\pi\)
−0.712215 + 0.701961i \(0.752308\pi\)
\(102\) −4.54701 + 3.30359i −0.450221 + 0.327105i
\(103\) 5.44797 1.15800i 0.536804 0.114101i 0.0684710 0.997653i \(-0.478188\pi\)
0.468333 + 0.883552i \(0.344855\pi\)
\(104\) 10.4623 3.71398i 1.02591 0.364186i
\(105\) 1.02068 + 1.13358i 0.0996084 + 0.110626i
\(106\) −0.850737 2.61830i −0.0826309 0.254312i
\(107\) 11.3514 + 5.05395i 1.09738 + 0.488584i 0.873890 0.486123i \(-0.161589\pi\)
0.223487 + 0.974707i \(0.428256\pi\)
\(108\) 0.356490 0.395922i 0.0343032 0.0380976i
\(109\) −0.440840 1.35677i −0.0422249 0.129955i 0.927722 0.373272i \(-0.121764\pi\)
−0.969947 + 0.243318i \(0.921764\pi\)
\(110\) 0.142219 0.103328i 0.0135600 0.00985193i
\(111\) −8.92174 1.89637i −0.846814 0.179996i
\(112\) −2.12617 2.36135i −0.200904 0.223127i
\(113\) 15.1432 6.74218i 1.42455 0.634251i 0.457587 0.889165i \(-0.348714\pi\)
0.966964 + 0.254914i \(0.0820471\pi\)
\(114\) 0.107666 0.331363i 0.0100839 0.0310349i
\(115\) −1.21474 + 0.882557i −0.113275 + 0.0822989i
\(116\) 2.54777 1.85106i 0.236554 0.171867i
\(117\) −1.74674 + 9.46529i −0.161486 + 0.875066i
\(118\) 0.00456797 0.00791196i 0.000420516 0.000728355i
\(119\) −2.98104 −0.273272
\(120\) 2.95389 1.31516i 0.269652 0.120057i
\(121\) −3.36207 10.3474i −0.305643 0.940673i
\(122\) −0.678652 + 2.08868i −0.0614422 + 0.189100i
\(123\) 1.83421 + 3.17694i 0.165385 + 0.286455i
\(124\) −0.374934 3.75101i −0.0336701 0.336851i
\(125\) −4.32446 −0.386792
\(126\) 4.36267 0.927315i 0.388658 0.0826118i
\(127\) −12.4489 + 13.8259i −1.10466 + 1.22685i −0.132840 + 0.991137i \(0.542410\pi\)
−0.971822 + 0.235715i \(0.924257\pi\)
\(128\) −2.34418 + 1.04370i −0.207198 + 0.0922505i
\(129\) −1.22279 2.11794i −0.107661 0.186474i
\(130\) 1.03477 1.50809i 0.0907556 0.132269i
\(131\) −5.22680 + 2.32712i −0.456668 + 0.203322i −0.622161 0.782889i \(-0.713745\pi\)
0.165493 + 0.986211i \(0.447078\pi\)
\(132\) 0.0583983 + 0.555623i 0.00508292 + 0.0483607i
\(133\) 0.149505 0.108622i 0.0129637 0.00941868i
\(134\) 6.49681 + 7.21544i 0.561239 + 0.623319i
\(135\) 0.0362750 0.345133i 0.00312205 0.0297043i
\(136\) −1.95270 + 6.00978i −0.167442 + 0.515335i
\(137\) −4.53970 0.964942i −0.387853 0.0824406i 0.00985832 0.999951i \(-0.496862\pi\)
−0.397711 + 0.917511i \(0.630195\pi\)
\(138\) 0.974631 + 9.27299i 0.0829661 + 0.789369i
\(139\) 7.18300 7.97753i 0.609254 0.676645i −0.357039 0.934089i \(-0.616214\pi\)
0.966293 + 0.257444i \(0.0828804\pi\)
\(140\) 0.424265 + 0.0901802i 0.0358569 + 0.00762162i
\(141\) −2.20595 0.982153i −0.185775 0.0827122i
\(142\) 8.42369 9.35546i 0.706901 0.785093i
\(143\) 0.761414 + 0.990712i 0.0636727 + 0.0828475i
\(144\) 0.610397 5.80754i 0.0508664 0.483961i
\(145\) 0.633900 1.95094i 0.0526425 0.162017i
\(146\) −2.44857 + 1.77899i −0.202645 + 0.147231i
\(147\) −10.6368 4.73580i −0.877307 0.390602i
\(148\) −2.36934 + 1.05490i −0.194759 + 0.0867122i
\(149\) 16.8954 1.38412 0.692061 0.721839i \(-0.256703\pi\)
0.692061 + 0.721839i \(0.256703\pi\)
\(150\) −6.58040 + 11.3976i −0.537287 + 0.930609i
\(151\) 9.32999 + 6.77864i 0.759264 + 0.551638i 0.898685 0.438596i \(-0.144524\pi\)
−0.139420 + 0.990233i \(0.544524\pi\)
\(152\) −0.121050 0.372553i −0.00981843 0.0302180i
\(153\) −3.66581 4.07129i −0.296363 0.329144i
\(154\) 0.289501 0.501431i 0.0233287 0.0404064i
\(155\) −1.63374 1.83315i −0.131225 0.147243i
\(156\) 2.50644 + 5.24444i 0.200676 + 0.419892i
\(157\) −2.23726 + 6.88556i −0.178552 + 0.549528i −0.999778 0.0210760i \(-0.993291\pi\)
0.821225 + 0.570604i \(0.193291\pi\)
\(158\) −2.32640 + 2.58373i −0.185079 + 0.205551i
\(159\) 5.20650 2.31808i 0.412902 0.183836i
\(160\) 0.803159 1.39111i 0.0634953 0.109977i
\(161\) −2.47272 + 4.28288i −0.194878 + 0.337538i
\(162\) −9.19564 6.68102i −0.722478 0.524911i
\(163\) −3.54540 1.57851i −0.277697 0.123639i 0.263163 0.964751i \(-0.415234\pi\)
−0.540860 + 0.841113i \(0.681901\pi\)
\(164\) 0.952931 + 0.424272i 0.0744114 + 0.0331301i
\(165\) 0.243508 + 0.270443i 0.0189571 + 0.0210540i
\(166\) −5.52562 4.01460i −0.428871 0.311593i
\(167\) −19.3087 + 4.10420i −1.49415 + 0.317592i −0.881282 0.472590i \(-0.843319\pi\)
−0.612872 + 0.790182i \(0.709986\pi\)
\(168\) 7.12617 7.91442i 0.549796 0.610610i
\(169\) 10.9136 + 7.06349i 0.839509 + 0.543345i
\(170\) 0.321691 + 0.990065i 0.0246726 + 0.0759345i
\(171\) 0.332194 + 0.0706100i 0.0254035 + 0.00539969i
\(172\) −0.635281 0.282845i −0.0484397 0.0215667i
\(173\) −20.6002 4.37871i −1.56620 0.332907i −0.658521 0.752562i \(-0.728818\pi\)
−0.907684 + 0.419655i \(0.862151\pi\)
\(174\) −8.52375 9.46658i −0.646184 0.717660i
\(175\) −6.37694 + 2.83920i −0.482051 + 0.214623i
\(176\) −0.507248 0.563356i −0.0382353 0.0424646i
\(177\) 0.0172777 + 0.00769254i 0.00129867 + 0.000578207i
\(178\) −12.7966 5.69739i −0.959142 0.427038i
\(179\) −1.48175 + 14.0979i −0.110751 + 1.05373i 0.788122 + 0.615519i \(0.211053\pi\)
−0.898874 + 0.438208i \(0.855613\pi\)
\(180\) 0.398559 + 0.690325i 0.0297068 + 0.0514538i
\(181\) 0.396864 + 0.687389i 0.0294987 + 0.0510933i 0.880398 0.474236i \(-0.157276\pi\)
−0.850899 + 0.525329i \(0.823942\pi\)
\(182\) 1.09322 5.92398i 0.0810350 0.439115i
\(183\) −4.44705 0.945250i −0.328735 0.0698749i
\(184\) 7.01457 + 7.79047i 0.517121 + 0.574321i
\(185\) −0.844703 + 1.46307i −0.0621038 + 0.107567i
\(186\) −14.9312 + 3.09429i −1.09481 + 0.226884i
\(187\) −0.711198 −0.0520079
\(188\) −0.671619 + 0.142757i −0.0489828 + 0.0104116i
\(189\) −0.353213 1.08708i −0.0256924 0.0790732i
\(190\) −0.0522088 0.0379319i −0.00378763 0.00275187i
\(191\) −1.71156 + 2.96450i −0.123844 + 0.214504i −0.921280 0.388899i \(-0.872856\pi\)
0.797437 + 0.603403i \(0.206189\pi\)
\(192\) −10.1960 17.6601i −0.735836 1.27451i
\(193\) 1.82312 17.3458i 0.131231 1.24858i −0.708553 0.705658i \(-0.750652\pi\)
0.839784 0.542921i \(-0.182682\pi\)
\(194\) −0.231463 + 0.168168i −0.0166181 + 0.0120737i
\(195\) 3.32880 + 1.80407i 0.238380 + 0.129192i
\(196\) −3.23845 + 0.688354i −0.231318 + 0.0491681i
\(197\) −3.29309 2.39257i −0.234623 0.170463i 0.464261 0.885698i \(-0.346320\pi\)
−0.698884 + 0.715235i \(0.746320\pi\)
\(198\) 1.04082 0.221233i 0.0739678 0.0157223i
\(199\) −16.2404 3.45200i −1.15125 0.244706i −0.407527 0.913193i \(-0.633609\pi\)
−0.743724 + 0.668487i \(0.766942\pi\)
\(200\) 1.54668 + 14.7157i 0.109367 + 1.04056i
\(201\) −13.4494 + 14.9371i −0.948648 + 1.05358i
\(202\) 9.64776 10.7149i 0.678814 0.753899i
\(203\) −0.706243 6.71946i −0.0495686 0.471613i
\(204\) −3.23615 0.687864i −0.226576 0.0481601i
\(205\) 0.664618 0.141269i 0.0464190 0.00986665i
\(206\) −5.18273 3.76547i −0.361098 0.262353i
\(207\) −8.88997 + 1.88962i −0.617896 + 0.131338i
\(208\) −6.93418 3.75803i −0.480799 0.260573i
\(209\) 0.0356679 0.0259142i 0.00246720 0.00179252i
\(210\) 0.183394 1.74488i 0.0126554 0.120408i
\(211\) 8.19385 + 14.1922i 0.564088 + 0.977028i 0.997134 + 0.0756567i \(0.0241053\pi\)
−0.433046 + 0.901372i \(0.642561\pi\)
\(212\) 0.810286 1.40346i 0.0556507 0.0963898i
\(213\) 21.0840 + 15.3184i 1.44465 + 1.04960i
\(214\) −4.41642 13.5923i −0.301900 0.929154i
\(215\) −0.443074 + 0.0941783i −0.0302174 + 0.00642291i
\(216\) −2.42292 −0.164858
\(217\) −7.37162 3.32716i −0.500418 0.225863i
\(218\) −0.820426 + 1.42102i −0.0555663 + 0.0962436i
\(219\) −4.19247 4.65621i −0.283301 0.314637i
\(220\) 0.101218 + 0.0215146i 0.00682414 + 0.00145052i
\(221\) −6.97307 + 2.47534i −0.469059 + 0.166510i
\(222\) 5.24548 + 9.08544i 0.352054 + 0.609775i
\(223\) −5.02869 8.70994i −0.336746 0.583261i 0.647073 0.762428i \(-0.275993\pi\)
−0.983819 + 0.179167i \(0.942660\pi\)
\(224\) 0.553028 5.26171i 0.0369508 0.351563i
\(225\) −11.7193 5.21778i −0.781289 0.347852i
\(226\) −17.4176 7.75480i −1.15860 0.515842i
\(227\) 8.73717 + 9.70362i 0.579907 + 0.644052i 0.959702 0.281019i \(-0.0906723\pi\)
−0.379796 + 0.925070i \(0.624006\pi\)
\(228\) 0.187363 0.0834192i 0.0124084 0.00552457i
\(229\) 14.6484 + 16.2687i 0.967993 + 1.07506i 0.997147 + 0.0754897i \(0.0240520\pi\)
−0.0291540 + 0.999575i \(0.509281\pi\)
\(230\) 1.68927 + 0.359065i 0.111387 + 0.0236761i
\(231\) 1.09500 + 0.487525i 0.0720456 + 0.0320768i
\(232\) −14.0090 2.97771i −0.919739 0.195497i
\(233\) −1.54756 4.76290i −0.101384 0.312028i 0.887481 0.460845i \(-0.152453\pi\)
−0.988865 + 0.148817i \(0.952453\pi\)
\(234\) 9.43489 5.79172i 0.616778 0.378616i
\(235\) −0.299272 + 0.332375i −0.0195223 + 0.0216818i
\(236\) 0.00526034 0.00111812i 0.000342419 7.27834e-5i
\(237\) −5.82284 4.23054i −0.378234 0.274803i
\(238\) 2.29430 + 2.54807i 0.148717 + 0.165167i
\(239\) −9.53302 4.24437i −0.616640 0.274546i 0.0745521 0.997217i \(-0.476247\pi\)
−0.691192 + 0.722671i \(0.742914\pi\)
\(240\) −2.09850 0.934313i −0.135458 0.0603097i
\(241\) 12.3106 + 8.94414i 0.792993 + 0.576143i 0.908850 0.417123i \(-0.136962\pi\)
−0.115857 + 0.993266i \(0.536962\pi\)
\(242\) −6.25699 + 10.8374i −0.402214 + 0.696656i
\(243\) 10.5848 18.3335i 0.679017 1.17609i
\(244\) −1.18100 + 0.525816i −0.0756059 + 0.0336619i
\(245\) −1.44305 + 1.60266i −0.0921928 + 0.102390i
\(246\) 1.30386 4.01287i 0.0831312 0.255851i
\(247\) 0.259517 0.378224i 0.0165127 0.0240658i
\(248\) −11.5363 + 12.6818i −0.732553 + 0.805293i
\(249\) 7.06962 12.2449i 0.448019 0.775992i
\(250\) 3.32823 + 3.69637i 0.210496 + 0.233779i
\(251\) 2.04678 + 6.29935i 0.129192 + 0.397612i 0.994641 0.103384i \(-0.0329672\pi\)
−0.865450 + 0.500996i \(0.832967\pi\)
\(252\) 2.12404 + 1.54320i 0.133802 + 0.0972126i
\(253\) −0.589927 + 1.02178i −0.0370884 + 0.0642389i
\(254\) 21.3989 1.34269
\(255\) −1.96875 + 0.876544i −0.123288 + 0.0548913i
\(256\) −12.9514 5.76632i −0.809461 0.360395i
\(257\) −11.2602 + 8.18100i −0.702391 + 0.510317i −0.880710 0.473656i \(-0.842934\pi\)
0.178319 + 0.983973i \(0.442934\pi\)
\(258\) −0.869232 + 2.67522i −0.0541160 + 0.166552i
\(259\) −0.581634 + 5.53388i −0.0361410 + 0.343859i
\(260\) 1.06730 0.141349i 0.0661908 0.00876612i
\(261\) 8.30847 9.22749i 0.514281 0.571167i
\(262\) 6.01183 + 2.67664i 0.371412 + 0.165363i
\(263\) −21.9829 4.67260i −1.35552 0.288125i −0.527850 0.849337i \(-0.677002\pi\)
−0.827672 + 0.561212i \(0.810335\pi\)
\(264\) 1.70012 1.88817i 0.104635 0.116209i
\(265\) −0.110342 1.04983i −0.00677823 0.0644906i
\(266\) −0.207908 0.0441923i −0.0127477 0.00270960i
\(267\) 8.96083 27.5786i 0.548394 1.68778i
\(268\) −0.597420 + 5.68407i −0.0364932 + 0.347210i
\(269\) 14.7564 + 16.3886i 0.899713 + 0.999232i 0.999991 + 0.00427294i \(0.00136012\pi\)
−0.100278 + 0.994959i \(0.531973\pi\)
\(270\) −0.322924 + 0.234618i −0.0196525 + 0.0142784i
\(271\) 0.807245 + 7.68042i 0.0490366 + 0.466553i 0.991294 + 0.131664i \(0.0420320\pi\)
−0.942258 + 0.334889i \(0.891301\pi\)
\(272\) 4.10108 1.82592i 0.248664 0.110712i
\(273\) 12.4330 + 0.968849i 0.752476 + 0.0586374i
\(274\) 2.66909 + 4.62300i 0.161246 + 0.279285i
\(275\) −1.52137 + 0.677357i −0.0917420 + 0.0408462i
\(276\) −3.67259 + 4.07882i −0.221064 + 0.245516i
\(277\) −1.85053 + 0.393342i −0.111188 + 0.0236337i −0.263169 0.964750i \(-0.584768\pi\)
0.151982 + 0.988383i \(0.451434\pi\)
\(278\) −12.3471 −0.740530
\(279\) −4.52093 14.1591i −0.270661 0.847680i
\(280\) −0.986290 1.70830i −0.0589421 0.102091i
\(281\) −9.15707 + 28.1826i −0.546265 + 1.68123i 0.171698 + 0.985150i \(0.445075\pi\)
−0.717963 + 0.696081i \(0.754925\pi\)
\(282\) 0.858260 + 2.64145i 0.0511086 + 0.157296i
\(283\) 11.3613 5.05839i 0.675361 0.300690i −0.0402496 0.999190i \(-0.512815\pi\)
0.715610 + 0.698500i \(0.246149\pi\)
\(284\) 7.41050 0.439732
\(285\) 0.0667974 0.115696i 0.00395673 0.00685326i
\(286\) 0.260814 1.41331i 0.0154222 0.0835706i
\(287\) 1.81053 1.31543i 0.106872 0.0776474i
\(288\) 7.86613 5.71508i 0.463516 0.336764i
\(289\) −3.95183 + 12.1625i −0.232460 + 0.715440i
\(290\) −2.15546 + 0.959671i −0.126573 + 0.0563538i
\(291\) −0.396312 0.440149i −0.0232322 0.0258020i
\(292\) −1.74267 0.370416i −0.101982 0.0216770i
\(293\) 17.5149 12.7253i 1.02323 0.743421i 0.0562882 0.998415i \(-0.482073\pi\)
0.966943 + 0.254994i \(0.0820734\pi\)
\(294\) 4.13840 + 12.7367i 0.241357 + 0.742819i
\(295\) 0.00234399 0.00260327i 0.000136473 0.000151568i
\(296\) 10.7753 + 4.79748i 0.626302 + 0.278848i
\(297\) −0.0842672 0.259348i −0.00488968 0.0150489i
\(298\) −13.0031 14.4415i −0.753252 0.836571i
\(299\) −2.22770 + 12.0715i −0.128831 + 0.698113i
\(300\) −7.57778 + 1.61071i −0.437503 + 0.0929942i
\(301\) −1.20701 + 0.876944i −0.0695709 + 0.0505462i
\(302\) −1.38653 13.1919i −0.0797857 0.759110i
\(303\) 24.1477 + 17.5443i 1.38725 + 1.00790i
\(304\) −0.139145 + 0.241006i −0.00798050 + 0.0138226i
\(305\) −0.421043 + 0.729268i −0.0241089 + 0.0417578i
\(306\) −0.658663 + 6.26676i −0.0376533 + 0.358247i
\(307\) 7.24757 + 1.54052i 0.413641 + 0.0879221i 0.410031 0.912071i \(-0.365518\pi\)
0.00360947 + 0.999993i \(0.498851\pi\)
\(308\) 0.333381 0.0708622i 0.0189961 0.00403775i
\(309\) 6.63092 11.4851i 0.377220 0.653364i
\(310\) −0.309529 + 2.80731i −0.0175801 + 0.159444i
\(311\) −4.79900 −0.272126 −0.136063 0.990700i \(-0.543445\pi\)
−0.136063 + 0.990700i \(0.543445\pi\)
\(312\) 10.0973 24.4302i 0.571645 1.38309i
\(313\) 22.6083 + 4.80554i 1.27790 + 0.271625i 0.796372 0.604808i \(-0.206750\pi\)
0.481524 + 0.876433i \(0.340083\pi\)
\(314\) 7.60736 3.38701i 0.429308 0.191140i
\(315\) 1.71017 0.0963574
\(316\) −2.04659 −0.115129
\(317\) 15.4453 6.87667i 0.867492 0.386232i 0.0757783 0.997125i \(-0.475856\pi\)
0.791714 + 0.610892i \(0.209189\pi\)
\(318\) −5.98848 2.66624i −0.335817 0.149515i
\(319\) −0.168491 1.60308i −0.00943369 0.0897555i
\(320\) −3.69450 + 0.785290i −0.206529 + 0.0438990i
\(321\) 27.0285 12.0338i 1.50858 0.671664i
\(322\) 5.56391 1.18265i 0.310065 0.0659063i
\(323\) 0.0806789 + 0.248304i 0.00448909 + 0.0138160i
\(324\) −0.699382 6.65418i −0.0388546 0.369676i
\(325\) −12.5590 + 11.9364i −0.696647 + 0.662115i
\(326\) 1.37939 + 4.24533i 0.0763974 + 0.235127i
\(327\) −3.10315 1.38161i −0.171605 0.0764033i
\(328\) −1.46594 4.51170i −0.0809429 0.249117i
\(329\) −0.455217 + 1.40101i −0.0250969 + 0.0772404i
\(330\) 0.0437529 0.416281i 0.00240852 0.0229155i
\(331\) −2.62275 2.91286i −0.144159 0.160105i 0.666741 0.745290i \(-0.267689\pi\)
−0.810900 + 0.585184i \(0.801022\pi\)
\(332\) −0.420255 3.99846i −0.0230645 0.219444i
\(333\) −8.27301 + 6.01069i −0.453358 + 0.329384i
\(334\) 18.3687 + 13.3456i 1.00509 + 0.730239i
\(335\) 1.86145 + 3.22413i 0.101702 + 0.176153i
\(336\) −7.56590 −0.412754
\(337\) 21.5453 + 15.6536i 1.17365 + 0.852705i 0.991441 0.130556i \(-0.0416761\pi\)
0.182206 + 0.983260i \(0.441676\pi\)
\(338\) −2.36186 14.7648i −0.128468 0.803098i
\(339\) 12.1967 37.5376i 0.662435 2.03876i
\(340\) −0.306396 + 0.530693i −0.0166166 + 0.0287809i
\(341\) −1.75867 0.793773i −0.0952375 0.0429852i
\(342\) −0.195312 0.338290i −0.0105612 0.0182926i
\(343\) −5.33712 + 16.4260i −0.288177 + 0.886919i
\(344\) 0.977282 + 3.00777i 0.0526915 + 0.162168i
\(345\) −0.373708 + 3.55559i −0.0201198 + 0.191427i
\(346\) 12.1118 + 20.9782i 0.651133 + 1.12779i
\(347\) 18.3893 0.987191 0.493596 0.869692i \(-0.335682\pi\)
0.493596 + 0.869692i \(0.335682\pi\)
\(348\) 0.783808 7.45744i 0.0420165 0.399761i
\(349\) −2.76778 26.3337i −0.148156 1.40961i −0.775736 0.631058i \(-0.782621\pi\)
0.627580 0.778552i \(-0.284046\pi\)
\(350\) 7.33471 + 3.26562i 0.392057 + 0.174555i
\(351\) −1.72888 2.24953i −0.0922808 0.120071i
\(352\) 0.131938 1.25531i 0.00703232 0.0669080i
\(353\) −19.7174 + 4.19106i −1.04945 + 0.223068i −0.700189 0.713957i \(-0.746901\pi\)
−0.349262 + 0.937025i \(0.613568\pi\)
\(354\) −0.00672217 0.0206887i −0.000357279 0.00109959i
\(355\) 3.90518 2.83728i 0.207266 0.150587i
\(356\) −2.54801 7.84196i −0.135044 0.415623i
\(357\) −4.74955 + 5.27491i −0.251373 + 0.279178i
\(358\) 13.1907 9.58361i 0.697151 0.506510i
\(359\) −5.07996 + 5.64186i −0.268110 + 0.297766i −0.862133 0.506682i \(-0.830872\pi\)
0.594023 + 0.804448i \(0.297539\pi\)
\(360\) 1.12023 3.44771i 0.0590413 0.181710i
\(361\) 15.3582 + 11.1584i 0.808328 + 0.587285i
\(362\) 0.282114 0.868258i 0.0148276 0.0456346i
\(363\) −23.6662 10.5369i −1.24215 0.553042i
\(364\) 3.02205 1.85512i 0.158399 0.0972348i
\(365\) −1.06018 + 0.472021i −0.0554921 + 0.0247067i
\(366\) 2.61462 + 4.52865i 0.136668 + 0.236716i
\(367\) −10.9631 −0.572267 −0.286133 0.958190i \(-0.592370\pi\)
−0.286133 + 0.958190i \(0.592370\pi\)
\(368\) 0.778466 7.40661i 0.0405803 0.386096i
\(369\) 4.02294 + 0.855103i 0.209426 + 0.0445149i
\(370\) 1.90068 0.404002i 0.0988116 0.0210031i
\(371\) −1.73843 3.01104i −0.0902546 0.156326i
\(372\) −7.23472 5.31286i −0.375103 0.275459i
\(373\) 6.89098 + 11.9355i 0.356801 + 0.617998i 0.987425 0.158091i \(-0.0505340\pi\)
−0.630623 + 0.776089i \(0.717201\pi\)
\(374\) 0.547358 + 0.607903i 0.0283032 + 0.0314339i
\(375\) −6.88996 + 7.65207i −0.355796 + 0.395151i
\(376\) 2.52626 + 1.83544i 0.130282 + 0.0946554i
\(377\) −7.23158 15.1313i −0.372445 0.779301i
\(378\) −0.657346 + 1.13856i −0.0338102 + 0.0585611i
\(379\) 0.449850 4.28004i 0.0231072 0.219851i −0.976875 0.213813i \(-0.931412\pi\)
0.999982 0.00603738i \(-0.00192177\pi\)
\(380\) −0.00397079 0.0377795i −0.000203697 0.00193805i
\(381\) 4.63051 + 44.0563i 0.237228 + 2.25707i
\(382\) 3.85120 0.818597i 0.197044 0.0418831i
\(383\) 0.766933 0.341461i 0.0391884 0.0174478i −0.387049 0.922059i \(-0.626506\pi\)
0.426237 + 0.904611i \(0.359839\pi\)
\(384\) −1.88806 + 5.81086i −0.0963498 + 0.296534i
\(385\) 0.148554 0.164986i 0.00757100 0.00840844i
\(386\) −16.2296 + 11.7915i −0.826066 + 0.600172i
\(387\) −2.68193 0.570063i −0.136330 0.0289779i
\(388\) −0.164734 0.0350153i −0.00836311 0.00177763i
\(389\) −0.720185 6.85210i −0.0365148 0.347415i −0.997492 0.0707861i \(-0.977449\pi\)
0.960977 0.276629i \(-0.0892174\pi\)
\(390\) −1.01990 4.23379i −0.0516444 0.214386i
\(391\) −4.67517 5.19230i −0.236433 0.262586i
\(392\) 12.1813 + 8.85021i 0.615247 + 0.447003i
\(393\) −4.20980 + 12.9564i −0.212356 + 0.653566i
\(394\) 0.489385 + 4.65619i 0.0246549 + 0.234575i
\(395\) −1.07851 + 0.783583i −0.0542657 + 0.0394263i
\(396\) 0.506739 + 0.368167i 0.0254646 + 0.0185011i
\(397\) 20.9874 1.05333 0.526664 0.850074i \(-0.323443\pi\)
0.526664 + 0.850074i \(0.323443\pi\)
\(398\) 9.54844 + 16.5384i 0.478620 + 0.828994i
\(399\) 0.0459944 0.437608i 0.00230260 0.0219078i
\(400\) 7.03384 7.81187i 0.351692 0.390594i
\(401\) −16.6566 18.4990i −0.831789 0.923795i 0.166269 0.986080i \(-0.446828\pi\)
−0.998058 + 0.0622851i \(0.980161\pi\)
\(402\) 23.1187 1.15305
\(403\) −20.0060 1.66158i −0.996569 0.0827691i
\(404\) 8.48733 0.422260
\(405\) −2.91627 3.23884i −0.144911 0.160939i
\(406\) −5.19997 + 5.77515i −0.258070 + 0.286616i
\(407\) −0.138763 + 1.32024i −0.00687821 + 0.0654418i
\(408\) 7.52308 + 13.0304i 0.372448 + 0.645099i
\(409\) 7.07600 0.349886 0.174943 0.984579i \(-0.444026\pi\)
0.174943 + 0.984579i \(0.444026\pi\)
\(410\) −0.632260 0.459364i −0.0312251 0.0226864i
\(411\) −8.94033 + 6.49553i −0.440994 + 0.320401i
\(412\) −0.394177 3.75034i −0.0194197 0.184766i
\(413\) 0.00356541 0.0109732i 0.000175442 0.000539956i
\(414\) 8.45715 + 6.14448i 0.415646 + 0.301985i
\(415\) −1.75237 1.94621i −0.0860205 0.0955355i
\(416\) −3.07552 12.7671i −0.150790 0.625958i
\(417\) −2.67179 25.4204i −0.130838 1.24484i
\(418\) −0.0496014 0.0105431i −0.00242609 0.000515681i
\(419\) −24.1172 5.12626i −1.17820 0.250434i −0.423124 0.906072i \(-0.639067\pi\)
−0.755076 + 0.655637i \(0.772400\pi\)
\(420\) 0.835532 0.607050i 0.0407698 0.0296210i
\(421\) −20.5952 + 22.8733i −1.00375 + 1.11477i −0.0103620 + 0.999946i \(0.503298\pi\)
−0.993385 + 0.114828i \(0.963368\pi\)
\(422\) 5.82466 17.9265i 0.283540 0.872646i
\(423\) −2.47319 + 1.10113i −0.120250 + 0.0535390i
\(424\) −7.20900 + 1.53232i −0.350100 + 0.0744160i
\(425\) −1.03085 9.80792i −0.0500038 0.475754i
\(426\) −3.13328 29.8112i −0.151808 1.44436i
\(427\) −0.289916 + 2.75837i −0.0140300 + 0.133487i
\(428\) 4.20643 7.28575i 0.203326 0.352170i
\(429\) 2.96617 + 0.231142i 0.143208 + 0.0111596i
\(430\) 0.421502 + 0.306239i 0.0203266 + 0.0147682i
\(431\) −13.3077 + 14.7797i −0.641008 + 0.711912i −0.972853 0.231422i \(-0.925662\pi\)
0.331845 + 0.943334i \(0.392329\pi\)
\(432\) 1.15177 + 1.27917i 0.0554144 + 0.0615439i
\(433\) 0.755003 + 1.30770i 0.0362831 + 0.0628442i 0.883597 0.468249i \(-0.155115\pi\)
−0.847314 + 0.531093i \(0.821782\pi\)
\(434\) 2.82949 + 8.86164i 0.135820 + 0.425372i
\(435\) −2.44220 4.23002i −0.117095 0.202814i
\(436\) −0.944777 + 0.200819i −0.0452466 + 0.00961747i
\(437\) 0.423662 + 0.0900521i 0.0202665 + 0.00430778i
\(438\) −0.753292 + 7.16710i −0.0359937 + 0.342457i
\(439\) −37.1547 −1.77330 −0.886648 0.462445i \(-0.846972\pi\)
−0.886648 + 0.462445i \(0.846972\pi\)
\(440\) −0.235303 0.407556i −0.0112176 0.0194295i
\(441\) −11.9253 + 5.30951i −0.567874 + 0.252834i
\(442\) 7.48250 + 4.05520i 0.355906 + 0.192886i
\(443\) −19.6770 8.76077i −0.934884 0.416237i −0.117983 0.993016i \(-0.537643\pi\)
−0.816900 + 0.576779i \(0.804310\pi\)
\(444\) −1.90833 + 5.87323i −0.0905653 + 0.278731i
\(445\) −4.34523 3.15699i −0.205984 0.149656i
\(446\) −3.57468 + 11.0017i −0.169266 + 0.520947i
\(447\) 26.9185 29.8961i 1.27320 1.41404i
\(448\) −10.0644 + 7.31225i −0.475500 + 0.345471i
\(449\) 20.2866 22.5306i 0.957385 1.06328i −0.0405582 0.999177i \(-0.512914\pi\)
0.997943 0.0641065i \(-0.0204197\pi\)
\(450\) 4.55959 + 14.0330i 0.214941 + 0.661520i
\(451\) 0.431946 0.313827i 0.0203395 0.0147775i
\(452\) −3.46813 10.6738i −0.163127 0.502054i
\(453\) 26.8597 5.70921i 1.26198 0.268242i
\(454\) 1.56987 14.9364i 0.0736779 0.700998i
\(455\) 0.882284 2.13468i 0.0413621 0.100075i
\(456\) −0.852089 0.379375i −0.0399027 0.0177658i
\(457\) 4.33105 + 41.2072i 0.202598 + 1.92759i 0.346595 + 0.938015i \(0.387338\pi\)
−0.143997 + 0.989578i \(0.545996\pi\)
\(458\) 2.63199 25.0417i 0.122985 1.17012i
\(459\) 1.61486 0.0753751
\(460\) 0.508300 + 0.880402i 0.0236996 + 0.0410489i
\(461\) −1.40696 + 13.3863i −0.0655285 + 0.623462i 0.911639 + 0.410992i \(0.134818\pi\)
−0.977168 + 0.212470i \(0.931849\pi\)
\(462\) −0.426026 1.31117i −0.0198205 0.0610013i
\(463\) 10.0192 30.8358i 0.465631 1.43306i −0.392557 0.919728i \(-0.628410\pi\)
0.858188 0.513336i \(-0.171590\pi\)
\(464\) 5.08732 + 8.81150i 0.236173 + 0.409064i
\(465\) −5.84670 0.0297902i −0.271134 0.00138149i
\(466\) −2.88008 + 4.98845i −0.133417 + 0.231086i
\(467\) −7.83302 + 24.1076i −0.362469 + 1.11556i 0.589082 + 0.808073i \(0.299490\pi\)
−0.951551 + 0.307491i \(0.900510\pi\)
\(468\) 6.24983 + 1.84604i 0.288898 + 0.0853333i
\(469\) 9.92020 + 7.20745i 0.458072 + 0.332809i
\(470\) 0.514429 0.0237288
\(471\) 8.61939 + 14.9292i 0.397161 + 0.687902i
\(472\) −0.0197865 0.0143757i −0.000910748 0.000661697i
\(473\) −0.287961 + 0.209216i −0.0132405 + 0.00961975i
\(474\) 0.865331 + 8.23307i 0.0397460 + 0.378158i
\(475\) 0.409075 + 0.454323i 0.0187696 + 0.0208458i
\(476\) −0.210974 + 2.00728i −0.00966997 + 0.0920036i
\(477\) 1.97451 6.07691i 0.0904065 0.278243i
\(478\) 3.70897 + 11.4150i 0.169644 + 0.522111i
\(479\) −25.5112 11.3583i −1.16563 0.518974i −0.269606 0.962971i \(-0.586894\pi\)
−0.896029 + 0.443996i \(0.853560\pi\)
\(480\) −1.18192 3.63757i −0.0539469 0.166032i
\(481\) 3.23460 + 13.4275i 0.147485 + 0.612240i
\(482\) −1.82947 17.4062i −0.0833300 0.792832i
\(483\) 3.63883 + 11.1992i 0.165572 + 0.509579i
\(484\) −7.20536 + 1.53155i −0.327516 + 0.0696157i
\(485\) −0.100218 + 0.0446199i −0.00455067 + 0.00202609i
\(486\) −23.8171 + 5.06248i −1.08036 + 0.229639i
\(487\) −3.51996 33.4902i −0.159505 1.51758i −0.722643 0.691222i \(-0.757073\pi\)
0.563138 0.826363i \(-0.309594\pi\)
\(488\) 5.37097 + 2.39131i 0.243132 + 0.108249i
\(489\) −8.44186 + 3.75856i −0.381754 + 0.169968i
\(490\) 2.48050 0.112058
\(491\) 32.4611 1.46495 0.732474 0.680795i \(-0.238366\pi\)
0.732474 + 0.680795i \(0.238366\pi\)
\(492\) 2.26900 1.01022i 0.102295 0.0455445i
\(493\) 9.33694 + 1.98463i 0.420515 + 0.0893832i
\(494\) −0.523022 + 0.0692674i −0.0235319 + 0.00311649i
\(495\) 0.408003 0.0183384
\(496\) 12.1792 + 0.0620555i 0.546862 + 0.00278637i
\(497\) 7.94941 13.7688i 0.356580 0.617615i
\(498\) −15.9075 + 3.38124i −0.712831 + 0.151517i
\(499\) 1.79366 + 0.381255i 0.0802954 + 0.0170673i 0.247884 0.968790i \(-0.420265\pi\)
−0.167589 + 0.985857i \(0.553598\pi\)
\(500\) −0.306050 + 2.91187i −0.0136870 + 0.130223i
\(501\) −23.5013 + 40.7055i −1.04996 + 1.81859i
\(502\) 3.80917 6.59767i 0.170011 0.294468i
\(503\) 0.107969 + 0.0784442i 0.00481410 + 0.00349765i 0.590190 0.807265i \(-0.299053\pi\)
−0.585376 + 0.810762i \(0.699053\pi\)
\(504\) −1.24808 11.8746i −0.0555937 0.528939i
\(505\) 4.47265 3.24957i 0.199030 0.144604i
\(506\) 1.32740 0.282148i 0.0590103 0.0125430i
\(507\) 29.8869 8.05758i 1.32732 0.357850i
\(508\) 8.42864 + 9.36095i 0.373960 + 0.415325i
\(509\) 3.21496 + 9.89462i 0.142500 + 0.438571i 0.996681 0.0814051i \(-0.0259407\pi\)
−0.854181 + 0.519976i \(0.825941\pi\)
\(510\) 2.26444 + 1.00819i 0.100271 + 0.0446436i
\(511\) −2.55764 + 2.84055i −0.113143 + 0.125659i
\(512\) 6.62482 + 20.3891i 0.292779 + 0.901080i
\(513\) −0.0809881 + 0.0588413i −0.00357571 + 0.00259791i
\(514\) 15.6589 + 3.32841i 0.690686 + 0.146810i
\(515\) −1.64363 1.82543i −0.0724269 0.0804383i
\(516\) −1.51265 + 0.673476i −0.0665908 + 0.0296481i
\(517\) −0.108603 + 0.334245i −0.00477635 + 0.0147001i
\(518\) 5.17778 3.76188i 0.227499 0.165287i
\(519\) −40.5694 + 29.4754i −1.78080 + 1.29383i
\(520\) −3.72558 3.17698i −0.163377 0.139320i
\(521\) −0.607583 + 1.05236i −0.0266187 + 0.0461049i −0.879028 0.476770i \(-0.841807\pi\)
0.852409 + 0.522875i \(0.175141\pi\)
\(522\) −14.2817 −0.625094
\(523\) −22.4795 + 10.0085i −0.982962 + 0.437643i −0.834339 0.551251i \(-0.814151\pi\)
−0.148622 + 0.988894i \(0.547484\pi\)
\(524\) 1.19706 + 3.68416i 0.0522936 + 0.160943i
\(525\) −5.13615 + 15.8075i −0.224160 + 0.689894i
\(526\) 12.9247 + 22.3862i 0.563544 + 0.976086i
\(527\) 7.68884 8.45232i 0.334931 0.368189i
\(528\) −1.80502 −0.0785536
\(529\) 11.1596 2.37205i 0.485201 0.103133i
\(530\) −0.812430 + 0.902295i −0.0352897 + 0.0391932i
\(531\) 0.0193708 0.00862444i 0.000840621 0.000374269i
\(532\) −0.0625595 0.108356i −0.00271230 0.00469784i
\(533\) 3.14280 4.58037i 0.136130 0.198398i
\(534\) −30.4696 + 13.5659i −1.31855 + 0.587055i
\(535\) −0.572816 5.44998i −0.0247650 0.235623i
\(536\) 21.0283 15.2780i 0.908285 0.659908i
\(537\) 22.5852 + 25.0834i 0.974624 + 1.08243i
\(538\) 2.65139 25.2263i 0.114310 1.08758i
\(539\) −0.523667 + 1.61168i −0.0225559 + 0.0694200i
\(540\) −0.229828 0.0488514i −0.00989022 0.00210223i
\(541\) 1.55763 + 14.8198i 0.0669676 + 0.637154i 0.975600 + 0.219557i \(0.0704611\pi\)
−0.908632 + 0.417597i \(0.862872\pi\)
\(542\) 5.94363 6.60107i 0.255301 0.283540i
\(543\) 1.84863 + 0.392938i 0.0793323 + 0.0168626i
\(544\) 6.82847 + 3.04023i 0.292768 + 0.130349i
\(545\) −0.420991 + 0.467558i −0.0180333 + 0.0200280i
\(546\) −8.74062 11.3728i −0.374064 0.486712i
\(547\) −1.76937 + 16.8344i −0.0756529 + 0.719789i 0.889293 + 0.457339i \(0.151197\pi\)
−0.964946 + 0.262450i \(0.915469\pi\)
\(548\) −0.971026 + 2.98851i −0.0414802 + 0.127663i
\(549\) −4.12369 + 2.99604i −0.175995 + 0.127868i
\(550\) 1.74987 + 0.779091i 0.0746146 + 0.0332206i
\(551\) −0.540579 + 0.240681i −0.0230295 + 0.0102534i
\(552\) 24.9611 1.06241
\(553\) −2.19542 + 3.80258i −0.0933588 + 0.161702i
\(554\) 1.76043 + 1.27903i 0.0747937 + 0.0543408i
\(555\) 1.24305 + 3.82573i 0.0527647 + 0.162393i
\(556\) −4.86331 5.40125i −0.206250 0.229064i
\(557\) 9.73482 16.8612i 0.412478 0.714432i −0.582682 0.812700i \(-0.697997\pi\)
0.995160 + 0.0982677i \(0.0313302\pi\)
\(558\) −8.62315 + 14.7615i −0.365047 + 0.624905i
\(559\) −2.09518 + 3.05355i −0.0886167 + 0.129151i
\(560\) −0.433044 + 1.33277i −0.0182994 + 0.0563199i
\(561\) −1.13312 + 1.25845i −0.0478402 + 0.0531320i
\(562\) 31.1369 13.8630i 1.31343 0.584776i
\(563\) 2.28894 3.96455i 0.0964671 0.167086i −0.813753 0.581211i \(-0.802579\pi\)
0.910220 + 0.414125i \(0.135912\pi\)
\(564\) −0.817451 + 1.41587i −0.0344209 + 0.0596188i
\(565\) −5.91435 4.29703i −0.248819 0.180777i
\(566\) −13.0677 5.81812i −0.549277 0.244554i
\(567\) −13.1138 5.83863i −0.550727 0.245199i
\(568\) −22.5507 25.0451i −0.946207 1.05087i
\(569\) 4.81303 + 3.49687i 0.201773 + 0.146597i 0.684084 0.729404i \(-0.260202\pi\)
−0.482311 + 0.876000i \(0.660202\pi\)
\(570\) −0.150302 + 0.0319476i −0.00629545 + 0.00133814i
\(571\) −5.70110 + 6.33171i −0.238584 + 0.264974i −0.850531 0.525924i \(-0.823720\pi\)
0.611948 + 0.790898i \(0.290386\pi\)
\(572\) 0.720982 0.442583i 0.0301458 0.0185053i
\(573\) 2.51870 + 7.75177i 0.105220 + 0.323835i
\(574\) −2.51782 0.535178i −0.105092 0.0223379i
\(575\) −14.9462 6.65447i −0.623299 0.277511i
\(576\) −22.3628 4.75337i −0.931785 0.198057i
\(577\) −12.7293 14.1374i −0.529929 0.588546i 0.417434 0.908707i \(-0.362930\pi\)
−0.947363 + 0.320161i \(0.896263\pi\)
\(578\) 13.4374 5.98273i 0.558923 0.248849i
\(579\) −27.7885 30.8622i −1.15485 1.28259i
\(580\) −1.26880 0.564908i −0.0526842 0.0234565i
\(581\) −7.88001 3.50841i −0.326918 0.145553i
\(582\) −0.0712085 + 0.677503i −0.00295169 + 0.0280834i
\(583\) −0.414743 0.718355i −0.0171769 0.0297512i
\(584\) 4.05120 + 7.01688i 0.167640 + 0.290361i
\(585\) 4.00033 1.42006i 0.165393 0.0587125i
\(586\) −24.3570 5.17725i −1.00618 0.213870i
\(587\) −4.59050 5.09827i −0.189470 0.210428i 0.640924 0.767604i \(-0.278551\pi\)
−0.830394 + 0.557176i \(0.811885\pi\)
\(588\) −3.94163 + 6.82711i −0.162550 + 0.281545i
\(589\) −0.0776287 + 0.704061i −0.00319863 + 0.0290103i
\(590\) −0.00402917 −0.000165878
\(591\) −9.48033 + 2.01511i −0.389969 + 0.0828904i
\(592\) −2.58939 7.96932i −0.106423 0.327537i
\(593\) −9.71503 7.05838i −0.398949 0.289853i 0.370164 0.928966i \(-0.379301\pi\)
−0.769113 + 0.639113i \(0.779301\pi\)
\(594\) −0.156825 + 0.271630i −0.00643463 + 0.0111451i
\(595\) 0.657356 + 1.13857i 0.0269490 + 0.0466770i
\(596\) 1.19572 11.3765i 0.0489784 0.465998i
\(597\) −31.9833 + 23.2372i −1.30899 + 0.951036i
\(598\) 12.0327 7.38644i 0.492055 0.302054i
\(599\) 23.7330 5.04460i 0.969703 0.206117i 0.304279 0.952583i \(-0.401584\pi\)
0.665423 + 0.746466i \(0.268251\pi\)
\(600\) 28.5035 + 20.7090i 1.16365 + 0.845440i
\(601\) 13.1173 2.78817i 0.535066 0.113732i 0.0675492 0.997716i \(-0.478482\pi\)
0.467517 + 0.883984i \(0.345149\pi\)
\(602\) 1.67853 + 0.356782i 0.0684116 + 0.0145413i
\(603\) 2.35552 + 22.4113i 0.0959244 + 0.912660i
\(604\) 5.22469 5.80261i 0.212590 0.236105i
\(605\) −3.21069 + 3.56583i −0.130533 + 0.144972i
\(606\) −3.58859 34.1431i −0.145776 1.38697i
\(607\) 3.57541 + 0.759978i 0.145122 + 0.0308466i 0.279900 0.960029i \(-0.409699\pi\)
−0.134778 + 0.990876i \(0.543032\pi\)
\(608\) −0.453239 + 0.0963388i −0.0183813 + 0.00390706i
\(609\) −13.0152 9.45610i −0.527402 0.383180i
\(610\) 0.947396 0.201375i 0.0383589 0.00815344i
\(611\) 0.0985341 + 3.65516i 0.00398626 + 0.147872i
\(612\) −3.00084 + 2.18023i −0.121302 + 0.0881308i
\(613\) 3.81765 36.3225i 0.154193 1.46705i −0.594479 0.804111i \(-0.702642\pi\)
0.748672 0.662940i \(-0.230692\pi\)
\(614\) −4.26117 7.38056i −0.171967 0.297855i
\(615\) 0.808931 1.40111i 0.0326192 0.0564982i
\(616\) −1.25400 0.911081i −0.0505249 0.0367085i
\(617\) −12.8234 39.4665i −0.516252 1.58886i −0.780992 0.624541i \(-0.785286\pi\)
0.264740 0.964320i \(-0.414714\pi\)
\(618\) −14.9203 + 3.17141i −0.600184 + 0.127573i
\(619\) 23.5106 0.944969 0.472485 0.881339i \(-0.343357\pi\)
0.472485 + 0.881339i \(0.343357\pi\)
\(620\) −1.34998 + 0.970345i −0.0542163 + 0.0389700i
\(621\) 1.33950 2.32008i 0.0537522 0.0931015i
\(622\) 3.69345 + 4.10199i 0.148094 + 0.164475i
\(623\) −17.3038 3.67803i −0.693261 0.147357i
\(624\) −17.6977 + 6.28244i −0.708474 + 0.251499i
\(625\) −11.0601 19.1567i −0.442406 0.766269i
\(626\) −13.2924 23.0231i −0.531271 0.920189i
\(627\) 0.0109731 0.104402i 0.000438222 0.00416940i
\(628\) 4.47805 + 1.99376i 0.178694 + 0.0795596i
\(629\) −7.18168 3.19749i −0.286352 0.127492i
\(630\) −1.31620 1.46179i −0.0524387 0.0582390i
\(631\) −31.0733 + 13.8347i −1.23701 + 0.550751i −0.917841 0.396948i \(-0.870069\pi\)
−0.319166 + 0.947699i \(0.603403\pi\)
\(632\) 6.22792 + 6.91680i 0.247733 + 0.275136i
\(633\) 38.1677 + 8.11279i 1.51703 + 0.322454i
\(634\) −17.7650 7.90949i −0.705539 0.314126i
\(635\) 8.02579 + 1.70593i 0.318494 + 0.0676979i
\(636\) −1.19241 3.66985i −0.0472820 0.145519i
\(637\) 0.475117 + 17.6247i 0.0188248 + 0.698314i
\(638\) −1.24058 + 1.37780i −0.0491149 + 0.0545476i
\(639\) 28.5798 6.07483i 1.13060 0.240317i
\(640\) 0.915547 + 0.665184i 0.0361902 + 0.0262937i
\(641\) −3.04670 3.38371i −0.120338 0.133648i 0.679965 0.733244i \(-0.261995\pi\)
−0.800303 + 0.599596i \(0.795328\pi\)
\(642\) −31.0879 13.8412i −1.22694 0.546270i
\(643\) 1.70196 + 0.757762i 0.0671188 + 0.0298832i 0.440021 0.897987i \(-0.354971\pi\)
−0.372903 + 0.927870i \(0.621637\pi\)
\(644\) 2.70888 + 1.96811i 0.106745 + 0.0775546i
\(645\) −0.539281 + 0.934063i −0.0212342 + 0.0367787i
\(646\) 0.150147 0.260063i 0.00590747 0.0102320i
\(647\) −3.32709 + 1.48132i −0.130801 + 0.0582366i −0.471094 0.882083i \(-0.656141\pi\)
0.340292 + 0.940320i \(0.389474\pi\)
\(648\) −20.3607 + 22.6129i −0.799844 + 0.888317i
\(649\) 0.000850613 0.00261792i 3.33895e−5 0.000102762i
\(650\) 19.8685 + 1.54827i 0.779308 + 0.0607283i
\(651\) −17.6322 + 7.74296i −0.691061 + 0.303471i
\(652\) −1.31380 + 2.27558i −0.0514525 + 0.0891184i
\(653\) −14.4258 16.0215i −0.564526 0.626970i 0.391526 0.920167i \(-0.371947\pi\)
−0.956052 + 0.293197i \(0.905281\pi\)
\(654\) 1.20733 + 3.71577i 0.0472103 + 0.145298i
\(655\) 2.04139 + 1.48316i 0.0797637 + 0.0579517i
\(656\) −1.68507 + 2.91863i −0.0657910 + 0.113953i
\(657\) −7.02457 −0.274054
\(658\) 1.54788 0.689160i 0.0603426 0.0268662i
\(659\) −36.6389 16.3127i −1.42725 0.635453i −0.459687 0.888081i \(-0.652038\pi\)
−0.967563 + 0.252628i \(0.918705\pi\)
\(660\) 0.199336 0.144826i 0.00775914 0.00563735i
\(661\) 10.4264 32.0890i 0.405538 1.24812i −0.514907 0.857246i \(-0.672174\pi\)
0.920445 0.390872i \(-0.127826\pi\)
\(662\) −0.471250 + 4.48364i −0.0183156 + 0.174262i
\(663\) −6.72976 + 16.2826i −0.261362 + 0.632363i
\(664\) −12.2347 + 13.5880i −0.474797 + 0.527315i
\(665\) −0.0744543 0.0331492i −0.00288721 0.00128547i
\(666\) 11.5048 + 2.44543i 0.445804 + 0.0947585i
\(667\) 10.5962 11.7682i 0.410285 0.455668i
\(668\) 1.39704 + 13.2920i 0.0540532 + 0.514282i
\(669\) −23.4241 4.97894i −0.905627 0.192497i
\(670\) 1.32323 4.07247i 0.0511207 0.157333i
\(671\) −0.0691664 + 0.658074i −0.00267014 + 0.0254047i
\(672\) −8.42941 9.36181i −0.325172 0.361140i
\(673\) 5.39788 3.92179i 0.208073 0.151174i −0.478869 0.877887i \(-0.658953\pi\)
0.686941 + 0.726713i \(0.258953\pi\)
\(674\) −3.20184 30.4635i −0.123330 1.17341i
\(675\) 3.45445 1.53802i 0.132962 0.0591984i
\(676\) 5.52857 6.84878i 0.212637 0.263415i
\(677\) 18.2423 + 31.5965i 0.701108 + 1.21435i 0.968078 + 0.250649i \(0.0806440\pi\)
−0.266970 + 0.963705i \(0.586023\pi\)
\(678\) −41.4726 + 18.4648i −1.59274 + 0.709136i
\(679\) −0.241773 + 0.268516i −0.00927840 + 0.0103047i
\(680\) 2.72596 0.579421i 0.104536 0.0222198i
\(681\) 31.0909 1.19141
\(682\) 0.675040 + 2.11415i 0.0258486 + 0.0809551i
\(683\) −2.39172 4.14259i −0.0915168 0.158512i 0.816633 0.577158i \(-0.195838\pi\)
−0.908150 + 0.418646i \(0.862505\pi\)
\(684\) 0.0710552 0.218685i 0.00271686 0.00836165i
\(685\) 0.632510 + 1.94667i 0.0241670 + 0.0743783i
\(686\) 18.1479 8.07995i 0.692888 0.308494i
\(687\) 52.1257 1.98872
\(688\) 1.12337 1.94573i 0.0428281 0.0741804i
\(689\) −6.56667 5.59972i −0.250170 0.213332i
\(690\) 3.32679 2.41706i 0.126649 0.0920158i
\(691\) 31.1638 22.6418i 1.18553 0.861335i 0.192742 0.981250i \(-0.438262\pi\)
0.992784 + 0.119915i \(0.0382621\pi\)
\(692\) −4.40631 + 13.5612i −0.167503 + 0.515521i
\(693\) 1.22765 0.546585i 0.0466346 0.0207630i
\(694\) −14.1530 15.7185i −0.537239 0.596664i
\(695\) −4.63086 0.984320i −0.175659 0.0373374i
\(696\) −27.5890 + 20.0445i −1.04576 + 0.759787i
\(697\) 0.977039 + 3.00702i 0.0370080 + 0.113899i
\(698\) −20.3788 + 22.6330i −0.771349 + 0.856670i
\(699\) −10.8935 4.85011i −0.412031 0.183448i
\(700\) 1.46046 + 4.49484i 0.0552003 + 0.169889i
\(701\) 4.35879 + 4.84093i 0.164629 + 0.182839i 0.819815 0.572629i \(-0.194076\pi\)
−0.655186 + 0.755468i \(0.727410\pi\)
\(702\) −0.592208 + 3.20908i −0.0223515 + 0.121119i
\(703\) 0.476683 0.101322i 0.0179784 0.00382143i
\(704\) −2.40111 + 1.74451i −0.0904953 + 0.0657487i
\(705\) 0.111317 + 1.05911i 0.00419245 + 0.0398885i
\(706\) 18.7574 + 13.6281i 0.705945 + 0.512899i
\(707\) 9.10456 15.7696i 0.342412 0.593075i
\(708\) 0.00640254 0.0110895i 0.000240622 0.000416770i
\(709\) −4.09415 + 38.9532i −0.153759 + 1.46292i 0.596946 + 0.802281i \(0.296380\pi\)
−0.750705 + 0.660637i \(0.770286\pi\)
\(710\) −5.43073 1.15434i −0.203812 0.0433215i
\(711\) −7.89301 + 1.67771i −0.296011 + 0.0629191i
\(712\) −18.7495 + 32.4752i −0.702669 + 1.21706i
\(713\) −5.76574 18.0577i −0.215929 0.676265i
\(714\) 8.16417 0.305536
\(715\) 0.210490 0.509277i 0.00787187 0.0190459i
\(716\) 9.38794 + 1.99547i 0.350844 + 0.0745742i
\(717\) −22.6988 + 10.1062i −0.847704 + 0.377422i
\(718\) 8.73211 0.325880
\(719\) 7.25150 0.270435 0.135218 0.990816i \(-0.456827\pi\)
0.135218 + 0.990816i \(0.456827\pi\)
\(720\) −2.35272 + 1.04750i −0.0876807 + 0.0390380i
\(721\) −7.39102 3.29069i −0.275256 0.122552i
\(722\) −2.28238 21.7154i −0.0849415 0.808164i
\(723\) 35.4403 7.53307i 1.31804 0.280158i
\(724\) 0.490940 0.218581i 0.0182456 0.00812348i
\(725\) 21.8635 4.64722i 0.811988 0.172593i
\(726\) 9.20770 + 28.3384i 0.341730 + 1.05174i
\(727\) −1.78061 16.9414i −0.0660392 0.628321i −0.976617 0.214984i \(-0.931030\pi\)
0.910578 0.413337i \(-0.135637\pi\)
\(728\) −15.4661 4.56829i −0.573210 0.169312i
\(729\) −6.41517 19.7439i −0.237599 0.731254i
\(730\) 1.21941 + 0.542915i 0.0451322 + 0.0200942i
\(731\) −0.651353 2.00466i −0.0240911 0.0741449i
\(732\) −0.951209 + 2.92752i −0.0351577 + 0.108204i
\(733\) 0.167048 1.58936i 0.00617007 0.0587043i −0.991004 0.133835i \(-0.957271\pi\)
0.997174 + 0.0751308i \(0.0239374\pi\)
\(734\) 8.43748 + 9.37077i 0.311433 + 0.345882i
\(735\) 0.536756 + 5.10689i 0.0197986 + 0.188371i
\(736\) 10.0320 7.28869i 0.369785 0.268665i
\(737\) 2.36670 + 1.71951i 0.0871784 + 0.0633388i
\(738\) −2.36527 4.09676i −0.0870666 0.150804i
\(739\) 6.28632 0.231246 0.115623 0.993293i \(-0.463114\pi\)
0.115623 + 0.993293i \(0.463114\pi\)
\(740\) 0.925375 + 0.672324i 0.0340175 + 0.0247151i
\(741\) −0.255786 1.06182i −0.00939652 0.0390068i
\(742\) −1.23577 + 3.80332i −0.0453667 + 0.139624i
\(743\) −8.96476 + 15.5274i −0.328885 + 0.569646i −0.982291 0.187362i \(-0.940006\pi\)
0.653406 + 0.757008i \(0.273340\pi\)
\(744\) 4.06004 + 40.6185i 0.148848 + 1.48915i
\(745\) −3.72563 6.45298i −0.136497 0.236419i
\(746\) 4.89851 15.0760i 0.179347 0.551973i
\(747\) −4.89857 15.0763i −0.179229 0.551611i
\(748\) −0.0503328 + 0.478885i −0.00184035 + 0.0175098i
\(749\) −9.02467 15.6312i −0.329754 0.571151i
\(750\) 11.8434 0.432459
\(751\) −3.43265 + 32.6595i −0.125259 + 1.19176i 0.733611 + 0.679570i \(0.237833\pi\)
−0.858870 + 0.512193i \(0.828833\pi\)
\(752\) −0.231884 2.20623i −0.00845593 0.0804528i
\(753\) 14.4076 + 6.41470i 0.525044 + 0.233765i
\(754\) −7.36798 + 17.8267i −0.268326 + 0.649212i
\(755\) 0.531644 5.05825i 0.0193485 0.184089i
\(756\) −0.756980 + 0.160901i −0.0275311 + 0.00585191i
\(757\) 15.7690 + 48.5321i 0.573135 + 1.76393i 0.642444 + 0.766333i \(0.277921\pi\)
−0.0693090 + 0.997595i \(0.522079\pi\)
\(758\) −4.00462 + 2.90953i −0.145454 + 0.105679i
\(759\) 0.868128 + 2.67182i 0.0315110 + 0.0969810i
\(760\) −0.115599 + 0.128386i −0.00419322 + 0.00465705i
\(761\) 17.6203 12.8019i 0.638735 0.464068i −0.220680 0.975346i \(-0.570828\pi\)
0.859416 + 0.511278i \(0.170828\pi\)
\(762\) 34.0938 37.8650i 1.23509 1.37170i
\(763\) −0.640362 + 1.97083i −0.0231826 + 0.0713488i
\(764\) 1.87501 + 1.36228i 0.0678357 + 0.0492855i
\(765\) −0.746627 + 2.29788i −0.0269943 + 0.0830800i
\(766\) −0.882120 0.392745i −0.0318723 0.0141905i
\(767\) −0.000771751 0.0286284i −2.78663e−5 0.00103371i
\(768\) −30.8382 + 13.7301i −1.11278 + 0.495441i
\(769\) −16.2186 28.0915i −0.584858 1.01300i −0.994893 0.100935i \(-0.967817\pi\)
0.410035 0.912070i \(-0.365517\pi\)
\(770\) −0.255354 −0.00920232
\(771\) −3.46414 + 32.9591i −0.124758 + 1.18699i
\(772\) −11.5508 2.45519i −0.415721 0.0883642i
\(773\) −4.25679 + 0.904810i −0.153106 + 0.0325437i −0.283827 0.958875i \(-0.591604\pi\)
0.130721 + 0.991419i \(0.458271\pi\)
\(774\) 1.57683 + 2.73114i 0.0566779 + 0.0981690i
\(775\) 8.39757 25.4039i 0.301649 0.912535i
\(776\) 0.382958 + 0.663303i 0.0137474 + 0.0238112i
\(777\) 8.86543 + 9.84606i 0.318045 + 0.353225i
\(778\) −5.30262 + 5.88916i −0.190108 + 0.211137i
\(779\) −0.158568 0.115207i −0.00568130 0.00412771i
\(780\) 1.45035 2.11377i 0.0519310 0.0756850i
\(781\) 1.89652 3.28487i 0.0678628 0.117542i
\(782\) −0.840023 + 7.99228i −0.0300391 + 0.285803i
\(783\) 0.382578 + 3.63999i 0.0136722 + 0.130083i
\(784\) −1.11811 10.6381i −0.0399325 0.379932i
\(785\) 3.12320 0.663857i 0.111472 0.0236941i
\(786\) 14.3146 6.37328i 0.510586 0.227327i
\(787\) 0.967236 2.97685i 0.0344782 0.106113i −0.932336 0.361592i \(-0.882233\pi\)
0.966815 + 0.255479i \(0.0822332\pi\)
\(788\) −1.84409 + 2.04807i −0.0656931 + 0.0729595i
\(789\) −43.2923 + 31.4537i −1.54125 + 1.11978i
\(790\) 1.49983 + 0.318798i 0.0533614 + 0.0113423i
\(791\) −23.5524 5.00622i −0.837427 0.178001i
\(792\) −0.297758 2.83298i −0.0105804 0.100665i
\(793\) 1.61229 + 6.69294i 0.0572542 + 0.237673i
\(794\) −16.1525 17.9392i −0.573231 0.636638i
\(795\) −2.03346 1.47740i −0.0721195 0.0523978i
\(796\) −3.47376 + 10.6911i −0.123124 + 0.378938i
\(797\) −3.83572 36.4945i −0.135868 1.29270i −0.823781 0.566907i \(-0.808140\pi\)
0.687913 0.725793i \(-0.258527\pi\)
\(798\) −0.409448 + 0.297481i −0.0144943 + 0.0105307i
\(799\) −1.68374 1.22331i −0.0595664 0.0432775i
\(800\) 17.5028 0.618817
\(801\) −16.2554 28.1551i −0.574355 0.994812i
\(802\) −2.99281 + 28.4747i −0.105680 + 1.00548i
\(803\) −0.610186 + 0.677680i −0.0215330 + 0.0239148i
\(804\) 9.10603 + 10.1133i 0.321145 + 0.356668i
\(805\) 2.18106 0.0768723
\(806\) 13.9769 + 18.3791i 0.492316 + 0.647376i
\(807\) 52.5101 1.84844
\(808\) −25.8276 28.6845i −0.908612 1.00912i
\(809\) −0.957895 + 1.06385i −0.0336778 + 0.0374030i −0.759748 0.650217i \(-0.774678\pi\)
0.726071 + 0.687620i \(0.241345\pi\)
\(810\) −0.523988 + 4.98541i −0.0184111 + 0.175170i
\(811\) −26.3602 45.6571i −0.925630 1.60324i −0.790544 0.612405i \(-0.790202\pi\)
−0.135086 0.990834i \(-0.543131\pi\)
\(812\) −4.57452 −0.160534
\(813\) 14.8765 + 10.8084i 0.521743 + 0.379068i
\(814\) 1.23528 0.897484i 0.0432966 0.0314568i
\(815\) 0.178909 + 1.70220i 0.00626690 + 0.0596256i
\(816\) 3.30311 10.1659i 0.115632 0.355879i
\(817\) 0.105711 + 0.0768036i 0.00369836 + 0.00268702i
\(818\) −5.44589 6.04828i −0.190411 0.211473i
\(819\) 10.1343 9.63196i 0.354121 0.336568i
\(820\) −0.0480871 0.457518i −0.00167927 0.0159772i
\(821\) 23.6069 + 5.01780i 0.823887 + 0.175123i 0.600518 0.799611i \(-0.294961\pi\)
0.223369 + 0.974734i \(0.428295\pi\)
\(822\) 12.4328 + 2.64268i 0.433645 + 0.0921742i
\(823\) 28.3733 20.6144i 0.989031 0.718573i 0.0293220 0.999570i \(-0.490665\pi\)
0.959709 + 0.280997i \(0.0906652\pi\)
\(824\) −11.4754 + 12.7448i −0.399766 + 0.443985i
\(825\) −1.22535 + 3.77124i −0.0426612 + 0.131298i
\(826\) −0.0121235 + 0.00539772i −0.000421830 + 0.000187811i
\(827\) 8.39090 1.78354i 0.291780 0.0620198i −0.0596961 0.998217i \(-0.519013\pi\)
0.351476 + 0.936197i \(0.385680\pi\)
\(828\) 0.643216 + 6.11979i 0.0223533 + 0.212677i
\(829\) 2.13145 + 20.2794i 0.0740283 + 0.704332i 0.967096 + 0.254410i \(0.0818814\pi\)
−0.893068 + 0.449922i \(0.851452\pi\)
\(830\) −0.314862 + 2.99571i −0.0109290 + 0.103983i
\(831\) −2.25235 + 3.90118i −0.0781330 + 0.135330i
\(832\) −17.4703 + 25.4615i −0.605674 + 0.882718i
\(833\) −8.11874 5.89861i −0.281298 0.204375i
\(834\) −19.6720 + 21.8480i −0.681187 + 0.756535i
\(835\) 5.82536 + 6.46972i 0.201595 + 0.223894i
\(836\) −0.0149250 0.0258509i −0.000516193 0.000894073i
\(837\) 3.99327 + 1.80236i 0.138028 + 0.0622985i
\(838\) 14.1795 + 24.5597i 0.489824 + 0.848400i
\(839\) −15.8261 + 3.36394i −0.546377 + 0.116136i −0.472827 0.881155i \(-0.656766\pi\)
−0.0735506 + 0.997291i \(0.523433\pi\)
\(840\) −4.59423 0.976533i −0.158516 0.0336936i
\(841\) 0.769878 7.32490i 0.0265475 0.252583i
\(842\) 35.4018 1.22003
\(843\) 35.2791 + 61.1052i 1.21508 + 2.10458i
\(844\) 10.1362 4.51291i 0.348901 0.155341i
\(845\) 0.291229 5.72591i 0.0100186 0.196977i
\(846\) 2.84464 + 1.26652i 0.0978007 + 0.0435437i
\(847\) −4.88372 + 15.0306i −0.167807 + 0.516456i
\(848\) 4.23588 + 3.07754i 0.145461 + 0.105683i
\(849\) 9.15071 28.1630i 0.314051 0.966551i
\(850\) −7.59004 + 8.42959i −0.260336 + 0.289133i
\(851\) −10.5509 + 7.66570i −0.361681 + 0.262777i
\(852\) 11.8068 13.1128i 0.404494 0.449236i
\(853\) −5.72928 17.6329i −0.196167 0.603739i −0.999961 0.00883170i \(-0.997189\pi\)
0.803794 0.594907i \(-0.202811\pi\)
\(854\) 2.58087 1.87511i 0.0883155 0.0641650i
\(855\) −0.0462842 0.142448i −0.00158289 0.00487162i
\(856\) −37.4240 + 7.95472i −1.27913 + 0.271887i
\(857\) 1.96128 18.6603i 0.0669960 0.637424i −0.908572 0.417728i \(-0.862827\pi\)
0.975568 0.219697i \(-0.0705068\pi\)
\(858\) −2.08528 2.71326i −0.0711904 0.0926291i
\(859\) 50.5022 + 22.4850i 1.72311 + 0.767180i 0.996810 + 0.0798054i \(0.0254299\pi\)
0.726303 + 0.687374i \(0.241237\pi\)
\(860\) 0.0320577 + 0.305009i 0.00109316 + 0.0104007i
\(861\) 0.557002 5.29952i 0.0189826 0.180607i
\(862\) 22.8750 0.779127
\(863\) 6.82548 + 11.8221i 0.232342 + 0.402428i 0.958497 0.285103i \(-0.0920278\pi\)
−0.726155 + 0.687531i \(0.758694\pi\)
\(864\) −0.299581 + 2.85032i −0.0101919 + 0.0969698i
\(865\) 2.87020 + 8.83356i 0.0975897 + 0.300350i
\(866\) 0.536700 1.65179i 0.0182378 0.0561302i
\(867\) 15.2251 + 26.3706i 0.517070 + 0.895592i
\(868\) −2.76205 + 4.72820i −0.0937500 + 0.160486i
\(869\) −0.523769 + 0.907195i −0.0177677 + 0.0307745i
\(870\) −1.73606 + 5.34304i −0.0588579 + 0.181146i
\(871\) 29.1895 + 8.62185i 0.989048 + 0.292140i
\(872\) 3.55373 + 2.58194i 0.120345 + 0.0874355i
\(873\) −0.664030 −0.0224740
\(874\) −0.249090 0.431436i −0.00842558 0.0145935i
\(875\) 5.08199 + 3.69228i 0.171803 + 0.124822i
\(876\) −3.43196 + 2.49347i −0.115955 + 0.0842464i
\(877\) −1.81605 17.2785i −0.0613236 0.583455i −0.981435 0.191797i \(-0.938568\pi\)
0.920111 0.391658i \(-0.128098\pi\)
\(878\) 28.5953 + 31.7583i 0.965045 + 1.07179i
\(879\) 5.38837 51.2670i 0.181745 1.72919i
\(880\) −0.103313 + 0.317964i −0.00348268 + 0.0107186i
\(881\) −1.97003 6.06312i −0.0663720 0.204272i 0.912370 0.409366i \(-0.134250\pi\)
−0.978742 + 0.205094i \(0.934250\pi\)
\(882\) 13.7164 + 6.10695i 0.461857 + 0.205632i
\(883\) −1.17901 3.62863i −0.0396770 0.122113i 0.929256 0.369436i \(-0.120449\pi\)
−0.968933 + 0.247323i \(0.920449\pi\)
\(884\) 1.17327 + 4.87049i 0.0394615 + 0.163812i
\(885\) −0.000871874 0.00829533i −2.93077e−5 0.000278844i
\(886\) 7.65565 + 23.5617i 0.257197 + 0.791569i
\(887\) 40.6269 8.63552i 1.36412 0.289952i 0.533032 0.846095i \(-0.321053\pi\)
0.831087 + 0.556143i \(0.187719\pi\)
\(888\) 25.6569 11.4232i 0.860988 0.383336i
\(889\) 26.4344 5.61880i 0.886580 0.188448i
\(890\) 0.645743 + 6.14384i 0.0216454 + 0.205942i
\(891\) −3.12860 1.39294i −0.104812 0.0466654i
\(892\) −6.22072 + 2.76964i −0.208285 + 0.0927345i
\(893\) 0.129017 0.00431738
\(894\) −46.2712 −1.54754
\(895\) 5.71127 2.54282i 0.190907 0.0849972i
\(896\) 3.64593 + 0.774967i 0.121802 + 0.0258898i
\(897\) 17.8111 + 23.1748i 0.594694 + 0.773785i
\(898\) −34.8714 −1.16367
\(899\) 20.8736 + 15.3287i 0.696175 + 0.511240i
\(900\) −4.34279 + 7.52193i −0.144760 + 0.250731i
\(901\) 4.80475 1.02128i 0.160070 0.0340238i
\(902\) −0.600684 0.127679i −0.0200006 0.00425126i
\(903\) −0.371331 + 3.53298i −0.0123571 + 0.117570i
\(904\) −25.5203 + 44.2024i −0.848791 + 1.47015i
\(905\) 0.175027 0.303155i 0.00581809 0.0100772i
\(906\) −25.5520 18.5646i −0.848909 0.616768i
\(907\) 4.03568 + 38.3969i 0.134003 + 1.27495i 0.830349 + 0.557243i \(0.188141\pi\)
−0.696347 + 0.717706i \(0.745192\pi\)
\(908\) 7.15227 5.19643i 0.237356 0.172449i
\(909\) 32.7328 6.95758i 1.08568 0.230768i
\(910\) −2.50366 + 0.888767i −0.0829957 + 0.0294624i
\(911\) 31.1262 + 34.5691i 1.03126 + 1.14533i 0.989254 + 0.146208i \(0.0467069\pi\)
0.0420020 + 0.999118i \(0.486626\pi\)
\(912\) 0.204763 + 0.630197i 0.00678039 + 0.0208679i
\(913\) −1.87996 0.837013i −0.0622177 0.0277011i
\(914\) 31.8890 35.4163i 1.05479 1.17147i
\(915\) 0.619602 + 1.90694i 0.0204834 + 0.0630414i
\(916\) 11.9912 8.71211i 0.396200 0.287856i
\(917\) 8.12932 + 1.72794i 0.268454 + 0.0570616i
\(918\) −1.24284 1.38031i −0.0410199 0.0455572i
\(919\) −46.5031 + 20.7045i −1.53400 + 0.682979i −0.987950 0.154776i \(-0.950534\pi\)
−0.546046 + 0.837755i \(0.683868\pi\)
\(920\) 1.42868 4.39702i 0.0471022 0.144966i
\(921\) 14.2731 10.3700i 0.470316 0.341704i
\(922\) 12.5249 9.09987i 0.412486 0.299688i
\(923\) 7.16169 38.8080i 0.235730 1.27738i
\(924\) 0.405770 0.702813i 0.0133488 0.0231209i
\(925\) −18.4081 −0.605256
\(926\) −34.0683 + 15.1682i −1.11955 + 0.498457i
\(927\) −4.59459 14.1407i −0.150906 0.464442i
\(928\) −5.23513 + 16.1121i −0.171852 + 0.528905i
\(929\) −8.16752 14.1466i −0.267968 0.464134i 0.700369 0.713781i \(-0.253019\pi\)
−0.968337 + 0.249647i \(0.919685\pi\)
\(930\) 4.47433 + 5.02045i 0.146719 + 0.164627i
\(931\) 0.622100 0.0203885
\(932\) −3.31662 + 0.704969i −0.108639 + 0.0230920i
\(933\) −7.64601 + 8.49176i −0.250319 + 0.278008i
\(934\) 26.6347 11.8585i 0.871513 0.388023i
\(935\) 0.156828 + 0.271634i 0.00512882 + 0.00888337i
\(936\) −12.7797 26.7401i −0.417717 0.874026i
\(937\) −55.8527 + 24.8672i −1.82463 + 0.812377i −0.891200 + 0.453610i \(0.850136\pi\)
−0.933427 + 0.358767i \(0.883197\pi\)
\(938\) −1.47424 14.0264i −0.0481356 0.457979i
\(939\) 44.5240 32.3486i 1.45299 1.05566i
\(940\) 0.202624 + 0.225037i 0.00660888 + 0.00733991i
\(941\) 2.68224 25.5198i 0.0874386 0.831922i −0.859636 0.510908i \(-0.829309\pi\)
0.947074 0.321015i \(-0.104024\pi\)
\(942\) 6.12716 18.8575i 0.199634 0.614409i
\(943\) 5.13064 + 1.09055i 0.167077 + 0.0355132i
\(944\) 0.00181619 + 0.0172799i 5.91119e−5 + 0.000562412i
\(945\) −0.337308 + 0.374619i −0.0109726 + 0.0121864i
\(946\) 0.400452 + 0.0851187i 0.0130198 + 0.00276745i
\(947\) 3.38386 + 1.50659i 0.109961 + 0.0489576i 0.460980 0.887411i \(-0.347498\pi\)
−0.351019 + 0.936368i \(0.614165\pi\)
\(948\) −3.26072 + 3.62140i −0.105903 + 0.117618i
\(949\) −3.62399 + 8.76821i −0.117640 + 0.284628i
\(950\) 0.0735016 0.699321i 0.00238471 0.0226890i
\(951\) 12.4400 38.2864i 0.403395 1.24152i
\(952\) 7.42598 5.39529i 0.240677 0.174862i
\(953\) −25.8466 11.5076i −0.837253 0.372769i −0.0571079 0.998368i \(-0.518188\pi\)
−0.780145 + 0.625599i \(0.784855\pi\)
\(954\) −6.71394 + 2.98924i −0.217372 + 0.0967801i
\(955\) 1.50968 0.0488519
\(956\) −3.53261 + 6.11867i −0.114253 + 0.197892i
\(957\) −3.10508 2.25597i −0.100373 0.0729253i
\(958\) 9.92551 + 30.5476i 0.320679 + 0.986948i
\(959\) 4.51105 + 5.01002i 0.145669 + 0.161782i
\(960\) −4.49670 + 7.78852i −0.145131 + 0.251373i
\(961\) 28.4469 12.3196i 0.917643 0.397406i
\(962\) 8.98781 13.0990i 0.289779 0.422328i
\(963\) 10.2502 31.5470i 0.330310 1.01659i
\(964\) 6.89377 7.65631i 0.222033 0.246593i
\(965\) −7.02705 + 3.12864i −0.226209 + 0.100715i
\(966\) 6.77204 11.7295i 0.217887 0.377391i
\(967\) 18.1484 31.4339i 0.583613 1.01085i −0.411434 0.911439i \(-0.634972\pi\)
0.995047 0.0994071i \(-0.0316946\pi\)
\(968\) 27.1026 + 19.6912i 0.871110 + 0.632899i
\(969\) 0.567912 + 0.252851i 0.0182440 + 0.00812274i
\(970\) 0.115270 + 0.0513215i 0.00370110 + 0.00164783i
\(971\) −29.0262 32.2368i −0.931495 1.03453i −0.999321 0.0368324i \(-0.988273\pi\)
0.0678269 0.997697i \(-0.478393\pi\)
\(972\) −11.5957 8.42477i −0.371932 0.270225i
\(973\) −15.2526 + 3.24203i −0.488975 + 0.103935i
\(974\) −25.9170 + 28.7837i −0.830434 + 0.922290i
\(975\) 1.11175 + 41.2407i 0.0356044 + 1.32076i
\(976\) −1.29068 3.97232i −0.0413138 0.127151i
\(977\) −29.3106 6.23016i −0.937729 0.199320i −0.286395 0.958112i \(-0.592457\pi\)
−0.651334 + 0.758791i \(0.725790\pi\)
\(978\) 9.70976 + 4.32306i 0.310484 + 0.138236i
\(979\) −4.12822 0.877481i −0.131939 0.0280444i
\(980\) 0.977026 + 1.08510i 0.0312099 + 0.0346622i
\(981\) −3.47907 + 1.54898i −0.111078 + 0.0494552i
\(982\) −24.9830 27.7464i −0.797239 0.885424i
\(983\) 4.47732 + 1.99343i 0.142804 + 0.0635806i 0.476895 0.878961i \(-0.341762\pi\)
−0.334090 + 0.942541i \(0.608429\pi\)
\(984\) −10.3190 4.59431i −0.328957 0.146461i
\(985\) −0.187648 + 1.78535i −0.00597895 + 0.0568859i
\(986\) −5.48960 9.50827i −0.174824 0.302805i
\(987\) 1.75380 + 3.03767i 0.0558240 + 0.0966900i
\(988\) −0.236310 0.201513i −0.00751803 0.00641098i
\(989\) −3.42039 0.727026i −0.108762 0.0231181i
\(990\) −0.314011 0.348744i −0.00997991 0.0110838i
\(991\) −5.44451 + 9.43017i −0.172951 + 0.299559i −0.939450 0.342686i \(-0.888663\pi\)
0.766499 + 0.642245i \(0.221997\pi\)
\(992\) 13.4924 + 15.1393i 0.428386 + 0.480673i
\(993\) −9.33296 −0.296173
\(994\) −17.8871 + 3.80202i −0.567344 + 0.120593i
\(995\) 2.26275 + 6.96403i 0.0717340 + 0.220775i
\(996\) −7.74479 5.62692i −0.245403 0.178296i
\(997\) 13.6416 23.6280i 0.432035 0.748306i −0.565014 0.825082i \(-0.691129\pi\)
0.997048 + 0.0767752i \(0.0244624\pi\)
\(998\) −1.05457 1.82658i −0.0333820 0.0578192i
\(999\) 0.315077 2.99775i 0.00996858 0.0948447i
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 403.2.bk.a.9.10 yes 280
13.3 even 3 403.2.bj.a.133.26 yes 280
31.7 even 15 403.2.bj.a.100.26 280
403.224 even 15 inner 403.2.bk.a.224.10 yes 280
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
403.2.bj.a.100.26 280 31.7 even 15
403.2.bj.a.133.26 yes 280 13.3 even 3
403.2.bk.a.9.10 yes 280 1.1 even 1 trivial
403.2.bk.a.224.10 yes 280 403.224 even 15 inner