Properties

Label 950.2.bc.b.61.7
Level $950$
Weight $2$
Character 950.61
Analytic conductor $7.586$
Analytic rank $0$
Dimension $600$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [950,2,Mod(61,950)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(950, base_ring=CyclotomicField(90))
 
chi = DirichletCharacter(H, H._module([72, 10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("950.61");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 950.bc (of order \(45\), degree \(24\), 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: \(7.58578819202\)
Analytic rank: \(0\)
Dimension: \(600\)
Relative dimension: \(25\) over \(\Q(\zeta_{45})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{45}]$

Embedding invariants

Embedding label 61.7
Character \(\chi\) \(=\) 950.61
Dual form 950.2.bc.b.841.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.961262 + 0.275637i) q^{2} +(-1.08231 - 0.152109i) q^{3} +(0.848048 - 0.529919i) q^{4} +(1.47691 + 1.67891i) q^{5} +(1.08231 - 0.152109i) q^{6} +(0.0170328 - 0.0295017i) q^{7} +(-0.669131 + 0.743145i) q^{8} +(-1.73552 - 0.497652i) q^{9} +O(q^{10})\) \(q+(-0.961262 + 0.275637i) q^{2} +(-1.08231 - 0.152109i) q^{3} +(0.848048 - 0.529919i) q^{4} +(1.47691 + 1.67891i) q^{5} +(1.08231 - 0.152109i) q^{6} +(0.0170328 - 0.0295017i) q^{7} +(-0.669131 + 0.743145i) q^{8} +(-1.73552 - 0.497652i) q^{9} +(-1.88247 - 1.20678i) q^{10} +(0.561018 + 0.249782i) q^{11} +(-0.998460 + 0.444543i) q^{12} +(1.94411 - 1.87741i) q^{13} +(-0.00824121 + 0.0330537i) q^{14} +(-1.34311 - 2.04176i) q^{15} +(0.438371 - 0.898794i) q^{16} +(0.263106 - 7.53437i) q^{17} +1.80546 q^{18} +(4.35100 + 0.262297i) q^{19} +(2.14218 + 0.641150i) q^{20} +(-0.0229223 + 0.0293392i) q^{21} +(-0.608135 - 0.0854678i) q^{22} +(-2.86665 - 0.200455i) q^{23} +(0.837249 - 0.702535i) q^{24} +(-0.637458 + 4.95920i) q^{25} +(-1.35132 + 2.34055i) q^{26} +(4.79806 + 2.13623i) q^{27} +(-0.00118887 - 0.0340448i) q^{28} +(0.162368 + 4.64962i) q^{29} +(1.85386 + 1.59245i) q^{30} +(1.03765 + 0.220560i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(-0.569204 - 0.355678i) q^{33} +(1.82384 + 7.31503i) q^{34} +(0.0746865 - 0.0149749i) q^{35} +(-1.73552 + 0.497652i) q^{36} +(-0.233834 - 0.169890i) q^{37} +(-4.25475 + 0.947163i) q^{38} +(-2.38971 + 1.73623i) q^{39} +(-2.23592 - 0.0258482i) q^{40} +(4.70526 - 9.64721i) q^{41} +(0.0139474 - 0.0345209i) q^{42} +(-3.76167 + 3.15642i) q^{43} +(0.608135 - 0.0854678i) q^{44} +(-1.72770 - 3.64876i) q^{45} +(2.81085 - 0.597465i) q^{46} +(-0.471235 - 13.4944i) q^{47} +(-0.611170 + 0.906097i) q^{48} +(3.49942 + 6.06117i) q^{49} +(-0.754176 - 4.94279i) q^{50} +(-1.43081 + 8.11454i) q^{51} +(0.653826 - 2.62235i) q^{52} +(6.70668 - 4.19080i) q^{53} +(-5.20102 - 0.730955i) q^{54} +(0.409215 + 1.31080i) q^{55} +(0.0105268 + 0.0323983i) q^{56} +(-4.66925 - 0.945715i) q^{57} +(-1.43769 - 4.42475i) q^{58} +(0.694153 + 1.02912i) q^{59} +(-2.22098 - 1.01977i) q^{60} +(8.88849 + 0.621544i) q^{61} +(-1.05825 + 0.0740001i) q^{62} +(-0.0442423 + 0.0427243i) q^{63} +(-0.104528 - 0.994522i) q^{64} +(6.02328 + 0.491217i) q^{65} +(0.645192 + 0.185006i) q^{66} +(7.50382 + 9.60445i) q^{67} +(-3.76948 - 6.52894i) q^{68} +(3.07212 + 0.652999i) q^{69} +(-0.0676656 + 0.0349812i) q^{70} +(5.28050 + 13.0697i) q^{71} +(1.53112 - 0.956748i) q^{72} +(-5.63364 - 5.44034i) q^{73} +(0.271604 + 0.0988557i) q^{74} +(1.44427 - 5.27045i) q^{75} +(3.82885 - 2.08324i) q^{76} +(0.0169247 - 0.0122965i) q^{77} +(1.81857 - 2.32766i) q^{78} +(0.279784 + 0.0393210i) q^{79} +(2.15643 - 0.591456i) q^{80} +(-0.274715 - 0.171661i) q^{81} +(-1.86385 + 10.5704i) q^{82} +(12.3077 + 2.61609i) q^{83} +(-0.00389180 + 0.0370280i) q^{84} +(13.0381 - 10.6859i) q^{85} +(2.74593 - 4.07100i) q^{86} +(0.531517 - 5.05705i) q^{87} +(-0.561018 + 0.249782i) q^{88} +(3.02307 + 6.19821i) q^{89} +(2.66651 + 3.03120i) q^{90} +(-0.0222730 - 0.0893320i) q^{91} +(-2.53728 + 1.34910i) q^{92} +(-1.08952 - 0.396552i) q^{93} +(4.17254 + 12.8418i) q^{94} +(5.98568 + 7.69231i) q^{95} +(0.337740 - 1.03946i) q^{96} +(10.7650 - 13.7786i) q^{97} +(-5.03454 - 4.86180i) q^{98} +(-0.849354 - 0.712693i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 600 q + 54 q^{7} - 75 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 600 q + 54 q^{7} - 75 q^{8} - 9 q^{11} - 30 q^{15} + 18 q^{17} - 576 q^{18} - 36 q^{19} - 6 q^{20} - 18 q^{22} - 6 q^{23} - 48 q^{26} - 18 q^{29} - 18 q^{33} - 18 q^{34} + 57 q^{35} - 12 q^{38} - 36 q^{39} - 36 q^{41} + 108 q^{43} + 18 q^{44} + 60 q^{45} + 24 q^{46} + 30 q^{47} - 258 q^{49} - 15 q^{50} - 72 q^{51} + 18 q^{53} + 54 q^{54} - 21 q^{55} - 12 q^{56} - 90 q^{57} + 36 q^{58} - 6 q^{59} - 30 q^{61} + 12 q^{62} + 18 q^{63} + 75 q^{64} + 66 q^{65} - 78 q^{66} - 18 q^{67} + 54 q^{68} + 24 q^{69} - 57 q^{70} + 72 q^{71} + 18 q^{73} - 12 q^{74} + 120 q^{75} + 24 q^{77} - 12 q^{78} - 12 q^{79} + 156 q^{81} - 24 q^{82} - 57 q^{83} + 3 q^{84} - 78 q^{85} + 12 q^{86} - 66 q^{87} + 9 q^{88} + 18 q^{89} + 30 q^{91} - 42 q^{92} + 18 q^{93} + 54 q^{94} + 102 q^{95} + 114 q^{97} + 108 q^{98} - 162 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/950\mathbb{Z}\right)^\times\).

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{1}{9}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.961262 + 0.275637i −0.679715 + 0.194905i
\(3\) −1.08231 0.152109i −0.624874 0.0878203i −0.180373 0.983598i \(-0.557730\pi\)
−0.444502 + 0.895778i \(0.646619\pi\)
\(4\) 0.848048 0.529919i 0.424024 0.264960i
\(5\) 1.47691 + 1.67891i 0.660495 + 0.750830i
\(6\) 1.08231 0.152109i 0.441853 0.0620984i
\(7\) 0.0170328 0.0295017i 0.00643779 0.0111506i −0.862789 0.505565i \(-0.831284\pi\)
0.869226 + 0.494414i \(0.164617\pi\)
\(8\) −0.669131 + 0.743145i −0.236573 + 0.262741i
\(9\) −1.73552 0.497652i −0.578506 0.165884i
\(10\) −1.88247 1.20678i −0.595289 0.381616i
\(11\) 0.561018 + 0.249782i 0.169153 + 0.0753120i 0.489567 0.871966i \(-0.337155\pi\)
−0.320413 + 0.947278i \(0.603822\pi\)
\(12\) −0.998460 + 0.444543i −0.288231 + 0.128329i
\(13\) 1.94411 1.87741i 0.539200 0.520699i −0.374425 0.927257i \(-0.622160\pi\)
0.913625 + 0.406558i \(0.133271\pi\)
\(14\) −0.00824121 + 0.0330537i −0.00220256 + 0.00883397i
\(15\) −1.34311 2.04176i −0.346788 0.527179i
\(16\) 0.438371 0.898794i 0.109593 0.224699i
\(17\) 0.263106 7.53437i 0.0638126 1.82735i −0.373034 0.927818i \(-0.621682\pi\)
0.436846 0.899536i \(-0.356095\pi\)
\(18\) 1.80546 0.425551
\(19\) 4.35100 + 0.262297i 0.998188 + 0.0601749i
\(20\) 2.14218 + 0.641150i 0.479006 + 0.143365i
\(21\) −0.0229223 + 0.0293392i −0.00500206 + 0.00640234i
\(22\) −0.608135 0.0854678i −0.129655 0.0182218i
\(23\) −2.86665 0.200455i −0.597737 0.0417979i −0.232316 0.972640i \(-0.574630\pi\)
−0.365421 + 0.930842i \(0.619075\pi\)
\(24\) 0.837249 0.702535i 0.170903 0.143404i
\(25\) −0.637458 + 4.95920i −0.127492 + 0.991840i
\(26\) −1.35132 + 2.34055i −0.265015 + 0.459020i
\(27\) 4.79806 + 2.13623i 0.923387 + 0.411118i
\(28\) −0.00118887 0.0340448i −0.000224676 0.00643387i
\(29\) 0.162368 + 4.64962i 0.0301510 + 0.863413i 0.916414 + 0.400231i \(0.131070\pi\)
−0.886263 + 0.463182i \(0.846708\pi\)
\(30\) 1.85386 + 1.59245i 0.338467 + 0.290741i
\(31\) 1.03765 + 0.220560i 0.186368 + 0.0396137i 0.300150 0.953892i \(-0.402963\pi\)
−0.113782 + 0.993506i \(0.536297\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) −0.569204 0.355678i −0.0990857 0.0619156i
\(34\) 1.82384 + 7.31503i 0.312786 + 1.25452i
\(35\) 0.0746865 0.0149749i 0.0126243 0.00253122i
\(36\) −1.73552 + 0.497652i −0.289253 + 0.0829420i
\(37\) −0.233834 0.169890i −0.0384421 0.0279298i 0.568398 0.822754i \(-0.307563\pi\)
−0.606840 + 0.794824i \(0.707563\pi\)
\(38\) −4.25475 + 0.947163i −0.690211 + 0.153650i
\(39\) −2.38971 + 1.73623i −0.382660 + 0.278019i
\(40\) −2.23592 0.0258482i −0.353530 0.00408696i
\(41\) 4.70526 9.64721i 0.734838 1.50664i −0.122825 0.992428i \(-0.539196\pi\)
0.857663 0.514212i \(-0.171916\pi\)
\(42\) 0.0139474 0.0345209i 0.00215212 0.00532669i
\(43\) −3.76167 + 3.15642i −0.573650 + 0.481349i −0.882855 0.469646i \(-0.844382\pi\)
0.309205 + 0.950995i \(0.399937\pi\)
\(44\) 0.608135 0.0854678i 0.0916798 0.0128847i
\(45\) −1.72770 3.64876i −0.257550 0.543926i
\(46\) 2.81085 0.597465i 0.414437 0.0880914i
\(47\) −0.471235 13.4944i −0.0687367 1.96836i −0.208062 0.978116i \(-0.566716\pi\)
0.139325 0.990247i \(-0.455507\pi\)
\(48\) −0.611170 + 0.906097i −0.0882148 + 0.130784i
\(49\) 3.49942 + 6.06117i 0.499917 + 0.865882i
\(50\) −0.754176 4.94279i −0.106657 0.699017i
\(51\) −1.43081 + 8.11454i −0.200354 + 1.13626i
\(52\) 0.653826 2.62235i 0.0906694 0.363655i
\(53\) 6.70668 4.19080i 0.921234 0.575651i 0.0156775 0.999877i \(-0.495009\pi\)
0.905556 + 0.424226i \(0.139454\pi\)
\(54\) −5.20102 0.730955i −0.707769 0.0994704i
\(55\) 0.409215 + 1.31080i 0.0551786 + 0.176749i
\(56\) 0.0105268 + 0.0323983i 0.00140671 + 0.00432940i
\(57\) −4.66925 0.945715i −0.618457 0.125263i
\(58\) −1.43769 4.42475i −0.188778 0.580998i
\(59\) 0.694153 + 1.02912i 0.0903710 + 0.133980i 0.871512 0.490374i \(-0.163140\pi\)
−0.781141 + 0.624355i \(0.785362\pi\)
\(60\) −2.22098 1.01977i −0.286728 0.131652i
\(61\) 8.88849 + 0.621544i 1.13805 + 0.0795805i 0.626322 0.779564i \(-0.284560\pi\)
0.511732 + 0.859145i \(0.329004\pi\)
\(62\) −1.05825 + 0.0740001i −0.134398 + 0.00939802i
\(63\) −0.0442423 + 0.0427243i −0.00557401 + 0.00538275i
\(64\) −0.104528 0.994522i −0.0130661 0.124315i
\(65\) 6.02328 + 0.491217i 0.747095 + 0.0609280i
\(66\) 0.645192 + 0.185006i 0.0794177 + 0.0227726i
\(67\) 7.50382 + 9.60445i 0.916737 + 1.17337i 0.984450 + 0.175665i \(0.0562077\pi\)
−0.0677126 + 0.997705i \(0.521570\pi\)
\(68\) −3.76948 6.52894i −0.457117 0.791750i
\(69\) 3.07212 + 0.652999i 0.369840 + 0.0786119i
\(70\) −0.0676656 + 0.0349812i −0.00808759 + 0.00418105i
\(71\) 5.28050 + 13.0697i 0.626680 + 1.55109i 0.821475 + 0.570244i \(0.193151\pi\)
−0.194795 + 0.980844i \(0.562404\pi\)
\(72\) 1.53112 0.956748i 0.180444 0.112754i
\(73\) −5.63364 5.44034i −0.659367 0.636743i 0.287722 0.957714i \(-0.407102\pi\)
−0.947089 + 0.320970i \(0.895991\pi\)
\(74\) 0.271604 + 0.0988557i 0.0315733 + 0.0114917i
\(75\) 1.44427 5.27045i 0.166770 0.608579i
\(76\) 3.82885 2.08324i 0.439200 0.238964i
\(77\) 0.0169247 0.0122965i 0.00192875 0.00140132i
\(78\) 1.81857 2.32766i 0.205912 0.263556i
\(79\) 0.279784 + 0.0393210i 0.0314781 + 0.00442396i 0.154895 0.987931i \(-0.450496\pi\)
−0.123416 + 0.992355i \(0.539385\pi\)
\(80\) 2.15643 0.591456i 0.241096 0.0661268i
\(81\) −0.274715 0.171661i −0.0305239 0.0190734i
\(82\) −1.86385 + 10.5704i −0.205828 + 1.16731i
\(83\) 12.3077 + 2.61609i 1.35095 + 0.287153i 0.825851 0.563888i \(-0.190695\pi\)
0.525098 + 0.851042i \(0.324029\pi\)
\(84\) −0.00389180 + 0.0370280i −0.000424631 + 0.00404009i
\(85\) 13.0381 10.6859i 1.41418 1.15905i
\(86\) 2.74593 4.07100i 0.296101 0.438988i
\(87\) 0.531517 5.05705i 0.0569846 0.542172i
\(88\) −0.561018 + 0.249782i −0.0598048 + 0.0266268i
\(89\) 3.02307 + 6.19821i 0.320445 + 0.657009i 0.996832 0.0795373i \(-0.0253443\pi\)
−0.676387 + 0.736546i \(0.736455\pi\)
\(90\) 2.66651 + 3.03120i 0.281074 + 0.319516i
\(91\) −0.0222730 0.0893320i −0.00233484 0.00936454i
\(92\) −2.53728 + 1.34910i −0.264530 + 0.140653i
\(93\) −1.08952 0.396552i −0.112978 0.0411205i
\(94\) 4.17254 + 12.8418i 0.430365 + 1.32453i
\(95\) 5.98568 + 7.69231i 0.614117 + 0.789215i
\(96\) 0.337740 1.03946i 0.0344705 0.106089i
\(97\) 10.7650 13.7786i 1.09302 1.39900i 0.183663 0.982989i \(-0.441205\pi\)
0.909358 0.416014i \(-0.136573\pi\)
\(98\) −5.03454 4.86180i −0.508566 0.491116i
\(99\) −0.849354 0.712693i −0.0853633 0.0716283i
\(100\) 2.08738 + 4.54344i 0.208738 + 0.454344i
\(101\) 1.61155 9.13955i 0.160355 0.909420i −0.793370 0.608740i \(-0.791675\pi\)
0.953725 0.300680i \(-0.0972135\pi\)
\(102\) −0.861285 8.19458i −0.0852799 0.811384i
\(103\) −3.14076 + 0.667589i −0.309468 + 0.0657795i −0.360028 0.932942i \(-0.617233\pi\)
0.0505596 + 0.998721i \(0.483900\pi\)
\(104\) 0.0943206 + 2.70099i 0.00924889 + 0.264854i
\(105\) −0.0831121 + 0.00484703i −0.00811091 + 0.000473022i
\(106\) −5.29174 + 5.87707i −0.513979 + 0.570831i
\(107\) −2.88624 + 4.99912i −0.279024 + 0.483283i −0.971142 0.238501i \(-0.923344\pi\)
0.692119 + 0.721784i \(0.256677\pi\)
\(108\) 5.20102 0.730955i 0.500468 0.0703362i
\(109\) 18.1363 1.26821i 1.73714 0.121473i 0.834264 0.551365i \(-0.185893\pi\)
0.902880 + 0.429892i \(0.141448\pi\)
\(110\) −0.754669 1.14723i −0.0719549 0.109384i
\(111\) 0.227240 + 0.219443i 0.0215687 + 0.0208286i
\(112\) −0.0190492 0.0282416i −0.00179998 0.00266859i
\(113\) −9.25945 6.72739i −0.871056 0.632859i 0.0598139 0.998210i \(-0.480949\pi\)
−0.930870 + 0.365350i \(0.880949\pi\)
\(114\) 4.74905 0.377940i 0.444789 0.0353974i
\(115\) −3.89724 5.10889i −0.363420 0.476406i
\(116\) 2.60162 + 3.85706i 0.241554 + 0.358119i
\(117\) −4.30834 + 2.29078i −0.398306 + 0.211783i
\(118\) −0.950927 0.797923i −0.0875399 0.0734547i
\(119\) −0.217795 0.136093i −0.0199652 0.0124757i
\(120\) 2.41603 + 0.368080i 0.220553 + 0.0336009i
\(121\) −7.10809 7.89433i −0.646190 0.717666i
\(122\) −8.71548 + 1.85253i −0.789063 + 0.167720i
\(123\) −6.55999 + 9.72559i −0.591495 + 0.876927i
\(124\) 0.996859 0.362827i 0.0895205 0.0325828i
\(125\) −9.26750 + 6.25407i −0.828911 + 0.559381i
\(126\) 0.0307520 0.0532641i 0.00273961 0.00474514i
\(127\) 2.96920 + 6.08775i 0.263474 + 0.540201i 0.988986 0.148008i \(-0.0472862\pi\)
−0.725513 + 0.688209i \(0.758397\pi\)
\(128\) 0.374607 + 0.927184i 0.0331109 + 0.0819522i
\(129\) 4.55143 2.84405i 0.400731 0.250405i
\(130\) −5.92534 + 1.18805i −0.519687 + 0.104199i
\(131\) 0.362557 10.3823i 0.0316767 0.907103i −0.874708 0.484650i \(-0.838947\pi\)
0.906385 0.422453i \(-0.138831\pi\)
\(132\) −0.671193 −0.0584199
\(133\) 0.0818479 0.123894i 0.00709711 0.0107430i
\(134\) −9.86048 7.16406i −0.851816 0.618880i
\(135\) 3.49978 + 11.2105i 0.301213 + 0.964848i
\(136\) 5.42308 + 5.23701i 0.465025 + 0.449070i
\(137\) −4.22621 16.9504i −0.361069 1.44817i −0.826426 0.563046i \(-0.809629\pi\)
0.465356 0.885123i \(-0.345926\pi\)
\(138\) −3.13310 + 0.219088i −0.266707 + 0.0186500i
\(139\) −1.92540 3.94766i −0.163310 0.334836i 0.801409 0.598117i \(-0.204084\pi\)
−0.964719 + 0.263281i \(0.915195\pi\)
\(140\) 0.0554023 0.0522772i 0.00468235 0.00441823i
\(141\) −1.54260 + 14.6769i −0.129910 + 1.23602i
\(142\) −8.67844 11.1079i −0.728279 0.932154i
\(143\) 1.55962 0.567657i 0.130422 0.0474699i
\(144\) −1.20809 + 1.34172i −0.100674 + 0.111810i
\(145\) −7.56648 + 7.13968i −0.628362 + 0.592918i
\(146\) 6.91496 + 3.67675i 0.572286 + 0.304290i
\(147\) −2.86551 7.09239i −0.236343 0.584970i
\(148\) −0.288331 0.0201620i −0.0237006 0.00165731i
\(149\) −1.15288 6.53832i −0.0944478 0.535640i −0.994915 0.100716i \(-0.967887\pi\)
0.900467 0.434923i \(-0.143225\pi\)
\(150\) 0.0644100 + 5.46437i 0.00525905 + 0.446164i
\(151\) 19.8132 1.61238 0.806188 0.591659i \(-0.201527\pi\)
0.806188 + 0.591659i \(0.201527\pi\)
\(152\) −3.10631 + 3.05791i −0.251955 + 0.248029i
\(153\) −4.20612 + 12.9451i −0.340045 + 1.04655i
\(154\) −0.0128797 + 0.0164852i −0.00103787 + 0.00132842i
\(155\) 1.16222 + 2.06787i 0.0933520 + 0.166095i
\(156\) −1.10653 + 2.73876i −0.0885933 + 0.219276i
\(157\) 3.45073 2.89550i 0.275398 0.231086i −0.494619 0.869110i \(-0.664692\pi\)
0.770017 + 0.638024i \(0.220248\pi\)
\(158\) −0.279784 + 0.0393210i −0.0222584 + 0.00312821i
\(159\) −7.89620 + 3.51561i −0.626209 + 0.278806i
\(160\) −1.90986 + 1.16294i −0.150988 + 0.0919381i
\(161\) −0.0547408 + 0.0811565i −0.00431418 + 0.00639603i
\(162\) 0.311389 + 0.0892893i 0.0244650 + 0.00701523i
\(163\) −2.36437 + 22.4955i −0.185192 + 1.76199i 0.368843 + 0.929492i \(0.379754\pi\)
−0.554035 + 0.832494i \(0.686913\pi\)
\(164\) −1.12196 10.6747i −0.0876101 0.833554i
\(165\) −0.243514 1.48095i −0.0189575 0.115292i
\(166\) −12.5520 + 0.877724i −0.974228 + 0.0681246i
\(167\) 2.88549 7.14185i 0.223286 0.552653i −0.773407 0.633910i \(-0.781449\pi\)
0.996693 + 0.0812570i \(0.0258935\pi\)
\(168\) −0.00646527 0.0366664i −0.000498806 0.00282887i
\(169\) −0.198780 + 5.69230i −0.0152907 + 0.437869i
\(170\) −9.58760 + 13.8657i −0.735335 + 1.06345i
\(171\) −7.42071 2.62050i −0.567476 0.200395i
\(172\) −1.51743 + 4.67018i −0.115703 + 0.356098i
\(173\) −22.5919 + 6.47812i −1.71763 + 0.492522i −0.982635 0.185550i \(-0.940593\pi\)
−0.734995 + 0.678073i \(0.762816\pi\)
\(174\) 0.882984 + 5.00765i 0.0669388 + 0.379629i
\(175\) 0.135447 + 0.103275i 0.0102388 + 0.00780686i
\(176\) 0.470436 0.394743i 0.0354605 0.0297549i
\(177\) −0.594752 1.21942i −0.0447043 0.0916573i
\(178\) −4.61442 5.12483i −0.345865 0.384122i
\(179\) −20.3351 + 4.32235i −1.51991 + 0.323068i −0.890854 0.454290i \(-0.849893\pi\)
−0.629059 + 0.777357i \(0.716560\pi\)
\(180\) −3.39872 2.17879i −0.253326 0.162397i
\(181\) 5.36018 + 6.86071i 0.398419 + 0.509953i 0.944829 0.327565i \(-0.106228\pi\)
−0.546410 + 0.837518i \(0.684006\pi\)
\(182\) 0.0460334 + 0.0797322i 0.00341222 + 0.00591014i
\(183\) −9.52559 2.02473i −0.704152 0.149672i
\(184\) 2.06713 1.99620i 0.152391 0.147162i
\(185\) −0.0601222 0.643499i −0.00442028 0.0473110i
\(186\) 1.15662 + 0.0808784i 0.0848072 + 0.00593029i
\(187\) 2.02955 4.16120i 0.148416 0.304297i
\(188\) −7.55058 11.1942i −0.550683 0.816420i
\(189\) 0.144747 0.105165i 0.0105288 0.00764960i
\(190\) −7.87409 5.74445i −0.571246 0.416746i
\(191\) −6.24706 4.53876i −0.452022 0.328413i 0.338372 0.941012i \(-0.390124\pi\)
−0.790393 + 0.612600i \(0.790124\pi\)
\(192\) −0.0381434 + 1.09228i −0.00275276 + 0.0788288i
\(193\) −2.21703 12.5734i −0.159585 0.905054i −0.954473 0.298297i \(-0.903581\pi\)
0.794888 0.606757i \(-0.207530\pi\)
\(194\) −6.55010 + 16.2121i −0.470270 + 1.16396i
\(195\) −6.44436 1.44785i −0.461490 0.103683i
\(196\) 6.17961 + 3.28576i 0.441401 + 0.234697i
\(197\) 1.24065 + 1.37788i 0.0883925 + 0.0981698i 0.785718 0.618585i \(-0.212294\pi\)
−0.697326 + 0.716754i \(0.745627\pi\)
\(198\) 1.01290 + 0.450970i 0.0719834 + 0.0320491i
\(199\) −17.9510 + 6.53362i −1.27251 + 0.463156i −0.887949 0.459942i \(-0.847870\pi\)
−0.384563 + 0.923099i \(0.625648\pi\)
\(200\) −3.25886 3.79208i −0.230436 0.268140i
\(201\) −6.66056 11.5364i −0.469800 0.813717i
\(202\) 0.970081 + 9.22971i 0.0682547 + 0.649400i
\(203\) 0.139937 + 0.0744059i 0.00982166 + 0.00522227i
\(204\) 3.08665 + 7.63973i 0.216109 + 0.534888i
\(205\) 23.1460 6.34839i 1.61659 0.443391i
\(206\) 2.83508 1.50744i 0.197529 0.105028i
\(207\) 4.87536 + 1.77449i 0.338861 + 0.123335i
\(208\) −0.835160 2.57036i −0.0579079 0.178222i
\(209\) 2.37547 + 1.23395i 0.164315 + 0.0853543i
\(210\) 0.0785564 0.0275681i 0.00542091 0.00190238i
\(211\) −12.1487 + 3.48360i −0.836354 + 0.239821i −0.666366 0.745625i \(-0.732151\pi\)
−0.169989 + 0.985446i \(0.554373\pi\)
\(212\) 3.46680 7.10800i 0.238101 0.488179i
\(213\) −3.72714 14.9487i −0.255379 1.02427i
\(214\) 1.39649 5.60102i 0.0954621 0.382878i
\(215\) −10.8550 1.65375i −0.740305 0.112785i
\(216\) −4.79806 + 2.13623i −0.326467 + 0.145352i
\(217\) 0.0241810 0.0268557i 0.00164151 0.00182309i
\(218\) −17.0842 + 6.21813i −1.15709 + 0.421145i
\(219\) 5.26984 + 6.74508i 0.356102 + 0.455790i
\(220\) 1.04165 + 0.894773i 0.0702283 + 0.0603256i
\(221\) −13.6336 15.1416i −0.917094 1.01854i
\(222\) −0.278924 0.148306i −0.0187201 0.00995367i
\(223\) −4.02452 + 16.1415i −0.269502 + 1.08091i 0.671090 + 0.741376i \(0.265826\pi\)
−0.940592 + 0.339538i \(0.889729\pi\)
\(224\) 0.0260958 + 0.0218969i 0.00174360 + 0.00146305i
\(225\) 3.57428 8.28955i 0.238285 0.552637i
\(226\) 10.7551 + 3.91453i 0.715417 + 0.260391i
\(227\) −8.61621 + 6.26004i −0.571878 + 0.415494i −0.835787 0.549054i \(-0.814988\pi\)
0.263909 + 0.964548i \(0.414988\pi\)
\(228\) −4.46090 + 1.67231i −0.295430 + 0.110752i
\(229\) −3.52269 + 10.8417i −0.232786 + 0.716441i 0.764622 + 0.644479i \(0.222926\pi\)
−0.997407 + 0.0719613i \(0.977074\pi\)
\(230\) 5.15447 + 3.83675i 0.339876 + 0.252988i
\(231\) −0.0201882 + 0.0107343i −0.00132829 + 0.000706263i
\(232\) −3.56399 2.99054i −0.233987 0.196339i
\(233\) 13.4412 + 8.39900i 0.880563 + 0.550237i 0.893188 0.449684i \(-0.148463\pi\)
−0.0126250 + 0.999920i \(0.504019\pi\)
\(234\) 3.51002 3.38958i 0.229457 0.221584i
\(235\) 21.9599 20.7212i 1.43251 1.35170i
\(236\) 1.13403 + 0.504901i 0.0738189 + 0.0328663i
\(237\) −0.296833 0.0851154i −0.0192813 0.00552884i
\(238\) 0.246871 + 0.0707890i 0.0160022 + 0.00458857i
\(239\) −13.3031 5.92291i −0.860504 0.383121i −0.0714494 0.997444i \(-0.522762\pi\)
−0.789054 + 0.614323i \(0.789429\pi\)
\(240\) −2.42390 + 0.312128i −0.156462 + 0.0201478i
\(241\) 16.1243 15.5711i 1.03866 1.00302i 0.0386659 0.999252i \(-0.487689\pi\)
0.999993 0.00376894i \(-0.00119969\pi\)
\(242\) 9.00870 + 5.62926i 0.579101 + 0.361863i
\(243\) −11.7989 9.90043i −0.756898 0.635113i
\(244\) 7.86723 4.18308i 0.503648 0.267794i
\(245\) −5.00781 + 14.8270i −0.319937 + 0.947264i
\(246\) 3.62513 11.1570i 0.231130 0.711345i
\(247\) 8.95127 7.65866i 0.569556 0.487309i
\(248\) −0.858233 + 0.623543i −0.0544979 + 0.0395950i
\(249\) −12.9229 4.70355i −0.818955 0.298075i
\(250\) 7.18464 8.56627i 0.454397 0.541778i
\(251\) −2.19578 1.84248i −0.138597 0.116296i 0.570854 0.821052i \(-0.306612\pi\)
−0.709450 + 0.704755i \(0.751057\pi\)
\(252\) −0.0148792 + 0.0596771i −0.000937300 + 0.00375930i
\(253\) −1.55817 0.828495i −0.0979614 0.0520870i
\(254\) −4.53219 5.03350i −0.284375 0.315830i
\(255\) −15.7367 + 9.58226i −0.985473 + 0.600064i
\(256\) −0.615661 0.788011i −0.0384788 0.0492507i
\(257\) 14.7245 5.35928i 0.918490 0.334303i 0.160852 0.986978i \(-0.448576\pi\)
0.757638 + 0.652676i \(0.226354\pi\)
\(258\) −3.59119 + 3.98842i −0.223578 + 0.248308i
\(259\) −0.00899489 + 0.00400478i −0.000558915 + 0.000248845i
\(260\) 5.36833 2.77527i 0.332930 0.172115i
\(261\) 2.03210 8.15031i 0.125784 0.504491i
\(262\) 2.51323 + 10.0800i 0.155268 + 0.622745i
\(263\) −12.1120 + 24.8333i −0.746859 + 1.53129i 0.0973349 + 0.995252i \(0.468968\pi\)
−0.844194 + 0.536037i \(0.819921\pi\)
\(264\) 0.645192 0.185006i 0.0397088 0.0113863i
\(265\) 16.9411 + 5.07045i 1.04069 + 0.311475i
\(266\) −0.0445274 + 0.141655i −0.00273015 + 0.00868542i
\(267\) −2.32910 7.16824i −0.142539 0.438689i
\(268\) 11.4532 + 4.16862i 0.699614 + 0.254639i
\(269\) −3.86070 + 2.05277i −0.235391 + 0.125160i −0.582977 0.812488i \(-0.698112\pi\)
0.347586 + 0.937648i \(0.387001\pi\)
\(270\) −6.45424 9.81158i −0.392793 0.597114i
\(271\) −7.73723 19.1503i −0.470004 1.16330i −0.957050 0.289923i \(-0.906370\pi\)
0.487046 0.873376i \(-0.338074\pi\)
\(272\) −6.65651 3.53933i −0.403610 0.214603i
\(273\) 0.0105181 + 0.100073i 0.000636586 + 0.00605671i
\(274\) 8.73465 + 15.1289i 0.527680 + 0.913968i
\(275\) −1.59634 + 2.62298i −0.0962630 + 0.158171i
\(276\) 2.95134 1.07420i 0.177650 0.0646593i
\(277\) 13.0932 + 5.82948i 0.786695 + 0.350259i 0.760450 0.649396i \(-0.224978\pi\)
0.0262450 + 0.999656i \(0.491645\pi\)
\(278\) 2.93894 + 3.26402i 0.176266 + 0.195763i
\(279\) −1.69110 0.899176i −0.101244 0.0538323i
\(280\) −0.0388465 + 0.0655230i −0.00232152 + 0.00391575i
\(281\) −7.59550 + 18.7995i −0.453109 + 1.12149i 0.511847 + 0.859076i \(0.328961\pi\)
−0.964957 + 0.262409i \(0.915483\pi\)
\(282\) −2.56265 14.5335i −0.152604 0.865458i
\(283\) 0.679889 19.4695i 0.0404152 1.15734i −0.794607 0.607124i \(-0.792323\pi\)
0.835023 0.550216i \(-0.185455\pi\)
\(284\) 11.4040 + 8.28550i 0.676703 + 0.491654i
\(285\) −5.30831 9.23597i −0.314437 0.547092i
\(286\) −1.34274 + 0.975558i −0.0793979 + 0.0576859i
\(287\) −0.204465 0.303132i −0.0120692 0.0178933i
\(288\) 0.791461 1.62274i 0.0466373 0.0956206i
\(289\) −39.7390 2.77882i −2.33759 0.163460i
\(290\) 5.30540 8.94871i 0.311544 0.525486i
\(291\) −13.7470 + 13.2753i −0.805862 + 0.778212i
\(292\) −7.66053 1.62830i −0.448299 0.0952889i
\(293\) 2.10296 + 3.64243i 0.122856 + 0.212793i 0.920893 0.389816i \(-0.127461\pi\)
−0.798037 + 0.602609i \(0.794128\pi\)
\(294\) 4.70943 + 6.02780i 0.274660 + 0.351548i
\(295\) −0.702600 + 2.68534i −0.0409070 + 0.156347i
\(296\) 0.282719 0.0600937i 0.0164327 0.00349287i
\(297\) 2.15821 + 2.39693i 0.125232 + 0.139084i
\(298\) 2.91043 + 5.96726i 0.168596 + 0.345674i
\(299\) −5.94942 + 4.99216i −0.344064 + 0.288704i
\(300\) −1.56810 5.23494i −0.0905343 0.302239i
\(301\) 0.0290478 + 0.164738i 0.00167429 + 0.00949536i
\(302\) −19.0457 + 5.46126i −1.09596 + 0.314260i
\(303\) −3.13441 + 9.64673i −0.180067 + 0.554190i
\(304\) 2.14310 3.79567i 0.122915 0.217697i
\(305\) 12.0840 + 15.8409i 0.691928 + 0.907048i
\(306\) 0.475027 13.6030i 0.0271555 0.777632i
\(307\) −1.68445 9.55297i −0.0961365 0.545217i −0.994393 0.105746i \(-0.966277\pi\)
0.898257 0.439471i \(-0.144834\pi\)
\(308\) 0.00783679 0.0193967i 0.000446543 0.00110523i
\(309\) 3.50083 0.244802i 0.199156 0.0139263i
\(310\) −1.68718 1.66741i −0.0958256 0.0947027i
\(311\) 3.19995 + 30.4455i 0.181452 + 1.72640i 0.584645 + 0.811289i \(0.301234\pi\)
−0.403192 + 0.915115i \(0.632099\pi\)
\(312\) 0.308761 2.93766i 0.0174801 0.166312i
\(313\) 3.68645 + 1.05707i 0.208371 + 0.0597493i 0.378199 0.925724i \(-0.376544\pi\)
−0.169828 + 0.985474i \(0.554321\pi\)
\(314\) −2.51894 + 3.73449i −0.142152 + 0.210749i
\(315\) −0.137072 0.0111787i −0.00772314 0.000629847i
\(316\) 0.258107 0.114917i 0.0145196 0.00646456i
\(317\) 2.78435 0.391315i 0.156385 0.0219785i −0.0605462 0.998165i \(-0.519284\pi\)
0.216931 + 0.976187i \(0.430395\pi\)
\(318\) 6.62128 5.55591i 0.371303 0.311560i
\(319\) −1.07030 + 2.64908i −0.0599252 + 0.148320i
\(320\) 1.51533 1.64432i 0.0847096 0.0919200i
\(321\) 3.88423 4.97159i 0.216797 0.277487i
\(322\) 0.0302504 0.0931013i 0.00168579 0.00518833i
\(323\) 3.12101 32.7130i 0.173658 1.82020i
\(324\) −0.323938 −0.0179965
\(325\) 8.07114 + 10.8380i 0.447706 + 0.601184i
\(326\) −3.92782 22.2758i −0.217542 1.23374i
\(327\) −19.8221 1.38610i −1.09616 0.0766513i
\(328\) 4.02084 + 9.95193i 0.222014 + 0.549503i
\(329\) −0.406134 0.215945i −0.0223909 0.0119054i
\(330\) 0.642285 + 1.35646i 0.0353566 + 0.0746704i
\(331\) 8.34118 9.26382i 0.458473 0.509186i −0.468938 0.883231i \(-0.655363\pi\)
0.927410 + 0.374046i \(0.122030\pi\)
\(332\) 11.8239 4.30354i 0.648919 0.236187i
\(333\) 0.321277 + 0.411216i 0.0176059 + 0.0225345i
\(334\) −0.805155 + 7.66054i −0.0440561 + 0.419166i
\(335\) −5.04250 + 26.7831i −0.275501 + 1.46332i
\(336\) 0.0163214 + 0.0334639i 0.000890407 + 0.00182561i
\(337\) −7.46430 + 0.521955i −0.406606 + 0.0284327i −0.271596 0.962411i \(-0.587551\pi\)
−0.135011 + 0.990844i \(0.543107\pi\)
\(338\) −1.37793 5.52658i −0.0749496 0.300606i
\(339\) 8.99834 + 8.68959i 0.488723 + 0.471954i
\(340\) 5.39428 15.9713i 0.292546 0.866164i
\(341\) 0.527051 + 0.382925i 0.0285414 + 0.0207365i
\(342\) 7.85555 + 0.473566i 0.424780 + 0.0256075i
\(343\) 0.476879 0.0257490
\(344\) 0.171375 4.90753i 0.00923990 0.264596i
\(345\) 3.44093 + 6.12223i 0.185253 + 0.329610i
\(346\) 19.9311 12.4543i 1.07150 0.669549i
\(347\) −9.31674 23.0597i −0.500149 1.23791i −0.940410 0.340042i \(-0.889559\pi\)
0.440261 0.897870i \(-0.354886\pi\)
\(348\) −2.22907 4.57028i −0.119491 0.244993i
\(349\) −3.59831 + 6.23246i −0.192613 + 0.333616i −0.946115 0.323829i \(-0.895030\pi\)
0.753502 + 0.657445i \(0.228363\pi\)
\(350\) −0.158666 0.0619402i −0.00848107 0.00331084i
\(351\) 13.3385 4.85483i 0.711959 0.259132i
\(352\) −0.343407 + 0.509121i −0.0183036 + 0.0271363i
\(353\) −10.9734 + 2.33248i −0.584057 + 0.124145i −0.490458 0.871465i \(-0.663170\pi\)
−0.0935990 + 0.995610i \(0.529837\pi\)
\(354\) 0.907830 + 1.00825i 0.0482506 + 0.0535878i
\(355\) −14.1440 + 28.1683i −0.750684 + 1.49502i
\(356\) 5.84826 + 3.65440i 0.309957 + 0.193683i
\(357\) 0.215022 + 0.180425i 0.0113801 + 0.00954908i
\(358\) 18.3559 9.76001i 0.970140 0.515833i
\(359\) −8.88393 13.1710i −0.468876 0.695137i 0.518224 0.855245i \(-0.326594\pi\)
−0.987099 + 0.160108i \(0.948816\pi\)
\(360\) 3.86762 + 1.15757i 0.203841 + 0.0610093i
\(361\) 18.8624 + 2.28250i 0.992758 + 0.120132i
\(362\) −7.04360 5.11747i −0.370203 0.268968i
\(363\) 6.49238 + 9.62535i 0.340762 + 0.505200i
\(364\) −0.0662273 0.0639550i −0.00347125 0.00335215i
\(365\) 0.813436 17.4933i 0.0425772 0.915639i
\(366\) 9.71468 0.679316i 0.507794 0.0355084i
\(367\) 1.61381 0.226806i 0.0842401 0.0118392i −0.0969271 0.995291i \(-0.530901\pi\)
0.181167 + 0.983452i \(0.442012\pi\)
\(368\) −1.43682 + 2.48865i −0.0748996 + 0.129730i
\(369\) −12.9670 + 14.4013i −0.675036 + 0.749703i
\(370\) 0.235165 + 0.601999i 0.0122257 + 0.0312964i
\(371\) −0.00940204 0.269239i −0.000488130 0.0139782i
\(372\) −1.13410 + 0.241061i −0.0588005 + 0.0124984i
\(373\) 1.24429 + 11.8386i 0.0644269 + 0.612981i 0.978330 + 0.207049i \(0.0663861\pi\)
−0.913904 + 0.405931i \(0.866947\pi\)
\(374\) −0.803950 + 4.55943i −0.0415713 + 0.235762i
\(375\) 10.9816 5.35919i 0.567090 0.276747i
\(376\) 10.3436 + 8.67933i 0.533431 + 0.447602i
\(377\) 9.04489 + 8.73455i 0.465836 + 0.449852i
\(378\) −0.110152 + 0.140988i −0.00566562 + 0.00725166i
\(379\) 5.33372 16.4155i 0.273975 0.843208i −0.715514 0.698598i \(-0.753807\pi\)
0.989489 0.144610i \(-0.0461926\pi\)
\(380\) 9.15245 + 3.35153i 0.469511 + 0.171930i
\(381\) −2.28760 7.04050i −0.117197 0.360696i
\(382\) 7.25611 + 2.64101i 0.371255 + 0.135126i
\(383\) 12.2472 6.51194i 0.625801 0.332745i −0.126102 0.992017i \(-0.540247\pi\)
0.751904 + 0.659273i \(0.229136\pi\)
\(384\) −0.264409 1.06049i −0.0134930 0.0541177i
\(385\) 0.0456410 + 0.0102541i 0.00232608 + 0.000522598i
\(386\) 5.59685 + 11.4752i 0.284872 + 0.584075i
\(387\) 8.09926 3.60602i 0.411708 0.183304i
\(388\) 1.82771 17.3895i 0.0927879 0.882818i
\(389\) 17.3818 25.7696i 0.881292 1.30657i −0.0697679 0.997563i \(-0.522226\pi\)
0.951060 0.309006i \(-0.0999964\pi\)
\(390\) 6.59379 0.384545i 0.333890 0.0194722i
\(391\) −2.26454 + 21.5456i −0.114523 + 1.08961i
\(392\) −6.84590 1.45514i −0.345770 0.0734957i
\(393\) −1.97164 + 11.1817i −0.0994561 + 0.564043i
\(394\) −1.57238 0.982534i −0.0792155 0.0494993i
\(395\) 0.347200 + 0.527804i 0.0174695 + 0.0265567i
\(396\) −1.09796 0.154309i −0.0551747 0.00775430i
\(397\) 8.03063 10.2787i 0.403046 0.515875i −0.543077 0.839683i \(-0.682741\pi\)
0.946123 + 0.323808i \(0.104963\pi\)
\(398\) 15.4547 11.2285i 0.774673 0.562833i
\(399\) −0.107431 + 0.121642i −0.00537825 + 0.00608974i
\(400\) 4.17785 + 2.74691i 0.208893 + 0.137346i
\(401\) −16.9685 6.17601i −0.847364 0.308415i −0.118399 0.992966i \(-0.537776\pi\)
−0.728965 + 0.684551i \(0.759998\pi\)
\(402\) 9.58241 + 9.25363i 0.477927 + 0.461529i
\(403\) 2.43139 1.51930i 0.121116 0.0756819i
\(404\) −3.47655 8.60477i −0.172965 0.428103i
\(405\) −0.117527 0.714749i −0.00583997 0.0355161i
\(406\) −0.155025 0.0329516i −0.00769377 0.00163536i
\(407\) −0.0887497 0.153719i −0.00439916 0.00761957i
\(408\) −5.07288 6.49298i −0.251145 0.321451i
\(409\) −19.0864 5.47295i −0.943764 0.270620i −0.231742 0.972777i \(-0.574443\pi\)
−0.712022 + 0.702157i \(0.752220\pi\)
\(410\) −20.4995 + 12.4824i −1.01240 + 0.616460i
\(411\) 1.99577 + 18.9885i 0.0984441 + 0.936633i
\(412\) −2.30975 + 2.23050i −0.113793 + 0.109889i
\(413\) 0.0421842 0.00294981i 0.00207575 0.000145151i
\(414\) −5.17562 0.361914i −0.254368 0.0177871i
\(415\) 13.7853 + 24.5273i 0.676693 + 1.20400i
\(416\) 1.51129 + 2.24058i 0.0740973 + 0.109854i
\(417\) 1.48341 + 4.56548i 0.0726431 + 0.223572i
\(418\) −2.62358 0.531382i −0.128323 0.0259907i
\(419\) 1.48088 + 4.55767i 0.0723456 + 0.222657i 0.980691 0.195564i \(-0.0626538\pi\)
−0.908345 + 0.418221i \(0.862654\pi\)
\(420\) −0.0679145 + 0.0481532i −0.00331389 + 0.00234964i
\(421\) −6.46948 0.909226i −0.315303 0.0443130i −0.0202535 0.999795i \(-0.506447\pi\)
−0.295050 + 0.955482i \(0.595336\pi\)
\(422\) 10.7179 6.69730i 0.521740 0.326019i
\(423\) −5.89768 + 23.6543i −0.286755 + 1.15011i
\(424\) −1.37327 + 7.78823i −0.0666921 + 0.378230i
\(425\) 37.1967 + 6.10765i 1.80431 + 0.296264i
\(426\) 7.70318 + 13.3423i 0.373220 + 0.646437i
\(427\) 0.169732 0.251639i 0.00821392 0.0121776i
\(428\) 0.201457 + 5.76897i 0.00973778 + 0.278854i
\(429\) −1.77435 + 0.377150i −0.0856664 + 0.0182090i
\(430\) 10.8903 1.40236i 0.525178 0.0676278i
\(431\) −23.8153 + 3.34702i −1.14714 + 0.161220i −0.687022 0.726637i \(-0.741082\pi\)
−0.460120 + 0.887857i \(0.652193\pi\)
\(432\) 4.02336 3.37600i 0.193574 0.162428i
\(433\) −14.7820 + 36.5866i −0.710376 + 1.75824i −0.0605424 + 0.998166i \(0.519283\pi\)
−0.649834 + 0.760077i \(0.725161\pi\)
\(434\) −0.0158418 + 0.0324806i −0.000760433 + 0.00155912i
\(435\) 9.27531 6.57645i 0.444717 0.315316i
\(436\) 14.7084 10.6863i 0.704406 0.511781i
\(437\) −12.4202 1.62409i −0.594139 0.0776909i
\(438\) −6.92489 5.03123i −0.330884 0.240401i
\(439\) 27.6715 7.93468i 1.32069 0.378701i 0.460039 0.887899i \(-0.347835\pi\)
0.860650 + 0.509197i \(0.170058\pi\)
\(440\) −1.24794 0.572992i −0.0594930 0.0273163i
\(441\) −3.05695 12.2608i −0.145569 0.583846i
\(442\) 17.2790 + 10.7971i 0.821880 + 0.513568i
\(443\) −5.53615 + 31.3970i −0.263030 + 1.49172i 0.511556 + 0.859250i \(0.329069\pi\)
−0.774586 + 0.632468i \(0.782042\pi\)
\(444\) 0.308997 + 0.0656794i 0.0146644 + 0.00311701i
\(445\) −5.94141 + 14.2297i −0.281650 + 0.674551i
\(446\) −0.580575 16.6255i −0.0274910 0.787240i
\(447\) 0.253241 + 7.25188i 0.0119779 + 0.343002i
\(448\) −0.0311205 0.0138557i −0.00147030 0.000654621i
\(449\) −7.49520 + 12.9821i −0.353721 + 0.612662i −0.986898 0.161345i \(-0.948417\pi\)
0.633178 + 0.774007i \(0.281750\pi\)
\(450\) −1.15091 + 8.95363i −0.0542542 + 0.422078i
\(451\) 5.04943 4.23697i 0.237768 0.199511i
\(452\) −11.4174 0.798385i −0.537031 0.0375529i
\(453\) −21.4441 3.01377i −1.00753 0.141599i
\(454\) 6.55693 8.39249i 0.307732 0.393879i
\(455\) 0.117085 0.169330i 0.00548903 0.00793831i
\(456\) 3.82714 2.83712i 0.179222 0.132860i
\(457\) −26.7792 −1.25268 −0.626340 0.779550i \(-0.715448\pi\)
−0.626340 + 0.779550i \(0.715448\pi\)
\(458\) 0.397842 11.3927i 0.0185899 0.532346i
\(459\) 17.3576 35.5883i 0.810182 1.66112i
\(460\) −6.01235 2.26736i −0.280327 0.105716i
\(461\) 4.13385 16.5800i 0.192532 0.772205i −0.793901 0.608046i \(-0.791953\pi\)
0.986434 0.164159i \(-0.0524910\pi\)
\(462\) 0.0164474 0.0158831i 0.000765203 0.000738948i
\(463\) 14.6203 6.50939i 0.679464 0.302517i −0.0378334 0.999284i \(-0.512046\pi\)
0.717297 + 0.696767i \(0.245379\pi\)
\(464\) 4.25023 + 1.89232i 0.197312 + 0.0878489i
\(465\) −0.943348 2.41487i −0.0437467 0.111987i
\(466\) −15.2356 4.36874i −0.705775 0.202378i
\(467\) 9.63205 10.6975i 0.445718 0.495020i −0.477857 0.878438i \(-0.658586\pi\)
0.923575 + 0.383417i \(0.125253\pi\)
\(468\) −2.43975 + 4.22577i −0.112777 + 0.195336i
\(469\) 0.411158 0.0577845i 0.0189855 0.00266824i
\(470\) −15.3977 + 25.9715i −0.710241 + 1.19798i
\(471\) −4.17520 + 2.60896i −0.192383 + 0.120214i
\(472\) −1.22927 0.172762i −0.0565816 0.00795202i
\(473\) −2.89878 + 0.831213i −0.133286 + 0.0382192i
\(474\) 0.308795 0.0141834
\(475\) −4.07436 + 21.4103i −0.186945 + 0.982370i
\(476\) −0.256819 −0.0117713
\(477\) −13.7251 + 3.93562i −0.628431 + 0.180200i
\(478\) 14.4203 + 2.02664i 0.659569 + 0.0926964i
\(479\) 31.5336 19.7044i 1.44081 0.900316i 0.440811 0.897600i \(-0.354691\pi\)
0.999996 0.00271599i \(-0.000864527\pi\)
\(480\) 2.24397 0.968153i 0.102423 0.0441900i
\(481\) −0.773553 + 0.108716i −0.0352710 + 0.00495701i
\(482\) −11.2077 + 19.4123i −0.510498 + 0.884208i
\(483\) 0.0715914 0.0795103i 0.00325752 0.00361784i
\(484\) −10.2114 2.92806i −0.464153 0.133094i
\(485\) 39.0319 2.27631i 1.77235 0.103362i
\(486\) 14.0707 + 6.26470i 0.638262 + 0.284172i
\(487\) −10.6188 + 4.72780i −0.481185 + 0.214237i −0.632970 0.774176i \(-0.718164\pi\)
0.151785 + 0.988413i \(0.451498\pi\)
\(488\) −6.40946 + 6.18954i −0.290142 + 0.280187i
\(489\) 5.98077 23.9876i 0.270460 1.08476i
\(490\) 0.726934 15.6330i 0.0328395 0.706226i
\(491\) 11.4971 23.5725i 0.518856 1.06381i −0.465077 0.885270i \(-0.653973\pi\)
0.983932 0.178541i \(-0.0571378\pi\)
\(492\) −0.409412 + 11.7240i −0.0184577 + 0.528560i
\(493\) 35.0747 1.57968
\(494\) −6.49350 + 9.82929i −0.292156 + 0.442240i
\(495\) −0.0578768 2.47857i −0.00260137 0.111403i
\(496\) 0.653115 0.835949i 0.0293257 0.0375352i
\(497\) 0.475520 + 0.0668299i 0.0213300 + 0.00299773i
\(498\) 13.7188 + 0.959309i 0.614752 + 0.0429877i
\(499\) −29.2638 + 24.5553i −1.31003 + 1.09924i −0.321711 + 0.946838i \(0.604258\pi\)
−0.988318 + 0.152407i \(0.951298\pi\)
\(500\) −4.54514 + 10.2148i −0.203265 + 0.456819i
\(501\) −4.20935 + 7.29081i −0.188060 + 0.325729i
\(502\) 2.61858 + 1.16587i 0.116873 + 0.0520351i
\(503\) −0.994077 28.4666i −0.0443237 1.26927i −0.794187 0.607673i \(-0.792103\pi\)
0.749864 0.661592i \(-0.230119\pi\)
\(504\) −0.00214646 0.0614666i −9.56109e−5 0.00273794i
\(505\) 17.7246 10.7927i 0.788733 0.480268i
\(506\) 1.72618 + 0.366910i 0.0767378 + 0.0163111i
\(507\) 1.08099 6.13062i 0.0480086 0.272270i
\(508\) 5.74404 + 3.58927i 0.254851 + 0.159248i
\(509\) −3.39576 13.6196i −0.150514 0.603680i −0.997410 0.0719214i \(-0.977087\pi\)
0.846896 0.531759i \(-0.178469\pi\)
\(510\) 12.4859 13.5487i 0.552885 0.599946i
\(511\) −0.256456 + 0.0735375i −0.0113449 + 0.00325311i
\(512\) 0.809017 + 0.587785i 0.0357538 + 0.0259767i
\(513\) 20.3160 + 10.5533i 0.896974 + 0.465938i
\(514\) −12.6769 + 9.21030i −0.559154 + 0.406249i
\(515\) −5.75945 4.28707i −0.253792 0.188911i
\(516\) 2.35272 4.82378i 0.103573 0.212355i
\(517\) 3.10628 7.68832i 0.136614 0.338132i
\(518\) 0.00754258 0.00632897i 0.000331402 0.000278079i
\(519\) 25.4369 3.57492i 1.11656 0.156922i
\(520\) −4.39540 + 4.14748i −0.192751 + 0.181879i
\(521\) 16.3376 3.47267i 0.715764 0.152140i 0.164386 0.986396i \(-0.447436\pi\)
0.551378 + 0.834256i \(0.314102\pi\)
\(522\) 0.293149 + 8.39470i 0.0128308 + 0.367426i
\(523\) 19.0178 28.1951i 0.831592 1.23289i −0.138551 0.990355i \(-0.544245\pi\)
0.970144 0.242531i \(-0.0779777\pi\)
\(524\) −5.19430 8.99679i −0.226914 0.393026i
\(525\) −0.130887 0.132379i −0.00571237 0.00577748i
\(526\) 4.79783 27.2099i 0.209195 1.18641i
\(527\) 1.93479 7.76003i 0.0842809 0.338032i
\(528\) −0.569204 + 0.355678i −0.0247714 + 0.0154789i
\(529\) −14.5987 2.05171i −0.634725 0.0892048i
\(530\) −17.6825 0.204417i −0.768078 0.00887933i
\(531\) −0.692570 2.13151i −0.0300550 0.0924996i
\(532\) 0.00375706 0.148441i 0.000162889 0.00643573i
\(533\) −8.96419 27.5889i −0.388282 1.19501i
\(534\) 4.21471 + 6.24857i 0.182389 + 0.270402i
\(535\) −12.6558 + 2.53753i −0.547157 + 0.109707i
\(536\) −12.1585 0.850207i −0.525169 0.0367234i
\(537\) 22.6664 1.58499i 0.978127 0.0683973i
\(538\) 3.14532 3.03740i 0.135604 0.130952i
\(539\) 0.449270 + 4.27452i 0.0193514 + 0.184117i
\(540\) 8.90865 + 7.65247i 0.383367 + 0.329310i
\(541\) −14.3321 4.10966i −0.616185 0.176688i −0.0469961 0.998895i \(-0.514965\pi\)
−0.569189 + 0.822207i \(0.692743\pi\)
\(542\) 12.7161 + 16.2758i 0.546201 + 0.699106i
\(543\) −4.75781 8.24078i −0.204177 0.353646i
\(544\) 7.37422 + 1.56744i 0.316167 + 0.0672034i
\(545\) 28.9150 + 28.5762i 1.23858 + 1.22407i
\(546\) −0.0376946 0.0932974i −0.00161318 0.00399276i
\(547\) 5.11515 3.19630i 0.218708 0.136664i −0.416141 0.909300i \(-0.636618\pi\)
0.634849 + 0.772636i \(0.281062\pi\)
\(548\) −12.5664 12.1352i −0.536808 0.518390i
\(549\) −15.1168 5.50208i −0.645171 0.234823i
\(550\) 0.811512 2.96138i 0.0346030 0.126274i
\(551\) −0.513115 + 20.2731i −0.0218594 + 0.863662i
\(552\) −2.54092 + 1.84609i −0.108149 + 0.0785748i
\(553\) 0.00592553 0.00758433i 0.000251979 0.000322519i
\(554\) −14.1928 1.99467i −0.602996 0.0847455i
\(555\) −0.0328110 + 0.705613i −0.00139275 + 0.0299516i
\(556\) −3.72477 2.32750i −0.157966 0.0987079i
\(557\) −4.34996 + 24.6698i −0.184314 + 1.04529i 0.742521 + 0.669823i \(0.233630\pi\)
−0.926834 + 0.375471i \(0.877481\pi\)
\(558\) 1.87344 + 0.398212i 0.0793091 + 0.0168577i
\(559\) −1.38723 + 13.1986i −0.0586736 + 0.558242i
\(560\) 0.0192811 0.0736923i 0.000814773 0.00311407i
\(561\) −2.82957 + 4.19501i −0.119465 + 0.177114i
\(562\) 2.11941 20.1649i 0.0894020 0.850603i
\(563\) −29.9237 + 13.3229i −1.26113 + 0.561493i −0.924873 0.380276i \(-0.875829\pi\)
−0.336261 + 0.941769i \(0.609162\pi\)
\(564\) 6.46936 + 13.2641i 0.272409 + 0.558521i
\(565\) −2.38075 25.4815i −0.100159 1.07202i
\(566\) 4.71296 + 18.9026i 0.198100 + 0.794538i
\(567\) −0.00974344 + 0.00518068i −0.000409186 + 0.000217568i
\(568\) −13.2460 4.82116i −0.555791 0.202291i
\(569\) 8.99241 + 27.6758i 0.376982 + 1.16023i 0.942132 + 0.335242i \(0.108818\pi\)
−0.565150 + 0.824988i \(0.691182\pi\)
\(570\) 7.64845 + 7.41502i 0.320358 + 0.310581i
\(571\) −3.83166 + 11.7927i −0.160350 + 0.493507i −0.998664 0.0516815i \(-0.983542\pi\)
0.838313 + 0.545189i \(0.183542\pi\)
\(572\) 1.02182 1.30788i 0.0427246 0.0546850i
\(573\) 6.07089 + 5.86259i 0.253615 + 0.244913i
\(574\) 0.280099 + 0.235031i 0.0116911 + 0.00980999i
\(575\) 2.82147 14.0885i 0.117663 0.587531i
\(576\) −0.313515 + 1.77803i −0.0130631 + 0.0740846i
\(577\) −0.100393 0.955179i −0.00417943 0.0397646i 0.992233 0.124390i \(-0.0396974\pi\)
−0.996413 + 0.0846253i \(0.973031\pi\)
\(578\) 38.9655 8.28237i 1.62075 0.344501i
\(579\) 0.486991 + 13.9456i 0.0202387 + 0.579560i
\(580\) −2.63328 + 10.0644i −0.109341 + 0.417902i
\(581\) 0.286814 0.318539i 0.0118991 0.0132152i
\(582\) 9.55527 16.5502i 0.396079 0.686028i
\(583\) 4.80936 0.675911i 0.199183 0.0279934i
\(584\) 7.81260 0.546310i 0.323288 0.0226065i
\(585\) −10.2091 3.85001i −0.422092 0.159178i
\(586\) −3.02548 2.92167i −0.124982 0.120693i
\(587\) −1.72354 2.55525i −0.0711380 0.105466i 0.791790 0.610794i \(-0.209150\pi\)
−0.862928 + 0.505327i \(0.831372\pi\)
\(588\) −6.18848 4.49620i −0.255209 0.185420i
\(589\) 4.45698 + 1.23183i 0.183647 + 0.0507566i
\(590\) −0.0647983 2.77498i −0.00266770 0.114244i
\(591\) −1.13318 1.68001i −0.0466129 0.0691065i
\(592\) −0.255202 + 0.135694i −0.0104888 + 0.00557697i
\(593\) −11.6186 9.74913i −0.477117 0.400349i 0.372265 0.928126i \(-0.378581\pi\)
−0.849383 + 0.527777i \(0.823026\pi\)
\(594\) −2.73529 1.70920i −0.112230 0.0701292i
\(595\) −0.0931760 0.566656i −0.00381984 0.0232306i
\(596\) −4.44248 4.93387i −0.181971 0.202099i
\(597\) 20.4224 4.34092i 0.835834 0.177662i
\(598\) 4.34292 6.43865i 0.177595 0.263296i
\(599\) 18.4736 6.72384i 0.754811 0.274729i 0.0641822 0.997938i \(-0.479556\pi\)
0.690629 + 0.723210i \(0.257334\pi\)
\(600\) 2.95030 + 4.59992i 0.120445 + 0.187791i
\(601\) −12.5668 + 21.7663i −0.512610 + 0.887866i 0.487284 + 0.873244i \(0.337988\pi\)
−0.999893 + 0.0146220i \(0.995346\pi\)
\(602\) −0.0733306 0.150350i −0.00298873 0.00612781i
\(603\) −8.24335 20.4030i −0.335695 0.830874i
\(604\) 16.8026 10.4994i 0.683686 0.427215i
\(605\) 2.75582 23.5930i 0.112040 0.959194i
\(606\) 0.353992 10.1370i 0.0143799 0.411787i
\(607\) −2.81563 −0.114283 −0.0571414 0.998366i \(-0.518199\pi\)
−0.0571414 + 0.998366i \(0.518199\pi\)
\(608\) −1.01385 + 4.23935i −0.0411172 + 0.171928i
\(609\) −0.140138 0.101816i −0.00567868 0.00412580i
\(610\) −15.9822 11.8965i −0.647102 0.481674i
\(611\) −26.2506 25.3499i −1.06199 1.02555i
\(612\) 3.29287 + 13.2070i 0.133106 + 0.533861i
\(613\) 33.2001 2.32158i 1.34094 0.0937677i 0.618819 0.785534i \(-0.287612\pi\)
0.722122 + 0.691766i \(0.243167\pi\)
\(614\) 4.25235 + 8.71861i 0.171611 + 0.351855i
\(615\) −26.0169 + 3.35023i −1.04910 + 0.135094i
\(616\) −0.00218674 + 0.0208055i −8.81063e−5 + 0.000838276i
\(617\) 10.2198 + 13.0807i 0.411433 + 0.526610i 0.948435 0.316971i \(-0.102666\pi\)
−0.537003 + 0.843581i \(0.680443\pi\)
\(618\) −3.29774 + 1.20028i −0.132655 + 0.0482823i
\(619\) 1.29665 1.44008i 0.0521169 0.0578817i −0.716523 0.697564i \(-0.754267\pi\)
0.768640 + 0.639682i \(0.220934\pi\)
\(620\) 2.08143 + 1.13777i 0.0835921 + 0.0456939i
\(621\) −13.3261 7.08562i −0.534759 0.284336i
\(622\) −11.4679 28.3840i −0.459821 1.13810i
\(623\) 0.234349 + 0.0163873i 0.00938899 + 0.000656542i
\(624\) 0.512930 + 2.90897i 0.0205336 + 0.116452i
\(625\) −24.1873 6.32257i −0.967492 0.252903i
\(626\) −3.83502 −0.153278
\(627\) −2.38331 1.69686i −0.0951804 0.0677659i
\(628\) 1.39200 4.28413i 0.0555468 0.170955i
\(629\) −1.34154 + 1.71709i −0.0534907 + 0.0684650i
\(630\) 0.134843 0.0270366i 0.00537229 0.00107716i
\(631\) 7.68794 19.0283i 0.306052 0.757505i −0.693270 0.720678i \(-0.743830\pi\)
0.999322 0.0368270i \(-0.0117251\pi\)
\(632\) −0.216433 + 0.181609i −0.00860924 + 0.00722401i
\(633\) 13.6786 1.92241i 0.543677 0.0764089i
\(634\) −2.56863 + 1.14363i −0.102013 + 0.0454193i
\(635\) −5.83553 + 13.9761i −0.231576 + 0.554624i
\(636\) −4.83336 + 7.16575i −0.191655 + 0.284141i
\(637\) 18.1826 + 5.21376i 0.720419 + 0.206577i
\(638\) 0.298651 2.84147i 0.0118237 0.112495i
\(639\) −2.66025 25.3106i −0.105238 1.00127i
\(640\) −1.00339 + 1.99830i −0.0396626 + 0.0789897i
\(641\) 6.79947 0.475465i 0.268563 0.0187797i 0.0651599 0.997875i \(-0.479244\pi\)
0.203403 + 0.979095i \(0.434800\pi\)
\(642\) −2.36341 + 5.84964i −0.0932763 + 0.230867i
\(643\) 3.93771 + 22.3319i 0.155288 + 0.880683i 0.958522 + 0.285019i \(0.0919998\pi\)
−0.803234 + 0.595664i \(0.796889\pi\)
\(644\) −0.00341640 + 0.0978328i −0.000134625 + 0.00385515i
\(645\) 11.4970 + 3.44102i 0.452693 + 0.135490i
\(646\) 6.01683 + 32.3061i 0.236729 + 1.27107i
\(647\) −4.72208 + 14.5331i −0.185644 + 0.571354i −0.999959 0.00906979i \(-0.997113\pi\)
0.814315 + 0.580423i \(0.197113\pi\)
\(648\) 0.311389 0.0892893i 0.0122325 0.00350762i
\(649\) 0.132376 + 0.750744i 0.00519623 + 0.0294693i
\(650\) −10.7458 8.19345i −0.421487 0.321374i
\(651\) −0.0302565 + 0.0253882i −0.00118584 + 0.000995041i
\(652\) 9.91571 + 20.3302i 0.388329 + 0.796193i
\(653\) −12.1545 13.4989i −0.475642 0.528254i 0.456802 0.889568i \(-0.348995\pi\)
−0.932444 + 0.361314i \(0.882328\pi\)
\(654\) 19.4363 4.13131i 0.760019 0.161547i
\(655\) 17.9663 14.7250i 0.702002 0.575353i
\(656\) −6.60820 8.45811i −0.258007 0.330234i
\(657\) 7.06989 + 12.2454i 0.275823 + 0.477739i
\(658\) 0.449924 + 0.0956342i 0.0175399 + 0.00372821i
\(659\) −6.93114 + 6.69332i −0.269999 + 0.260735i −0.817315 0.576191i \(-0.804538\pi\)
0.547316 + 0.836926i \(0.315650\pi\)
\(660\) −0.991293 1.12687i −0.0385860 0.0438634i
\(661\) −34.9975 2.44727i −1.36125 0.0951876i −0.629625 0.776899i \(-0.716792\pi\)
−0.731621 + 0.681711i \(0.761236\pi\)
\(662\) −5.46460 + 11.2041i −0.212388 + 0.435460i
\(663\) 12.4526 + 18.4618i 0.483620 + 0.716996i
\(664\) −10.1796 + 7.39592i −0.395046 + 0.287017i
\(665\) 0.328889 0.0455658i 0.0127538 0.00176696i
\(666\) −0.422178 0.306730i −0.0163591 0.0118855i
\(667\) 0.466589 13.3614i 0.0180664 0.517354i
\(668\) −1.33757 7.58571i −0.0517520 0.293500i
\(669\) 6.81107 16.8580i 0.263331 0.651767i
\(670\) −2.53528 27.1355i −0.0979463 1.04834i
\(671\) 4.83136 + 2.56888i 0.186512 + 0.0991704i
\(672\) −0.0249131 0.0276688i −0.000961042 0.00106735i
\(673\) 11.9718 + 5.33017i 0.461477 + 0.205463i 0.624288 0.781194i \(-0.285389\pi\)
−0.162811 + 0.986657i \(0.552056\pi\)
\(674\) 7.03128 2.55918i 0.270835 0.0985758i
\(675\) −13.6526 + 22.4328i −0.525488 + 0.863437i
\(676\) 2.84789 + 4.93268i 0.109534 + 0.189719i
\(677\) 3.50415 + 33.3398i 0.134675 + 1.28135i 0.828001 + 0.560727i \(0.189478\pi\)
−0.693325 + 0.720625i \(0.743855\pi\)
\(678\) −11.0449 5.87270i −0.424178 0.225540i
\(679\) −0.223133 0.552273i −0.00856306 0.0211943i
\(680\) −0.783034 + 16.8394i −0.0300280 + 0.645763i
\(681\) 10.2777 5.46473i 0.393841 0.209409i
\(682\) −0.612182 0.222816i −0.0234417 0.00853207i
\(683\) −0.539785 1.66129i −0.0206543 0.0635674i 0.940198 0.340628i \(-0.110640\pi\)
−0.960852 + 0.277061i \(0.910640\pi\)
\(684\) −7.68178 + 1.71006i −0.293720 + 0.0653859i
\(685\) 22.2164 32.1296i 0.848845 1.22761i
\(686\) −0.458405 + 0.131446i −0.0175020 + 0.00501862i
\(687\) 5.46178 11.1983i 0.208380 0.427242i
\(688\) 1.18796 + 4.76465i 0.0452906 + 0.181651i
\(689\) 5.17070 20.7386i 0.196988 0.790076i
\(690\) −4.99515 4.93662i −0.190162 0.187934i
\(691\) 10.1506 4.51933i 0.386146 0.171923i −0.204476 0.978872i \(-0.565549\pi\)
0.590622 + 0.806948i \(0.298882\pi\)
\(692\) −15.7261 + 17.4656i −0.597818 + 0.663944i
\(693\) −0.0354925 + 0.0129182i −0.00134825 + 0.000490722i
\(694\) 15.3120 + 19.5984i 0.581234 + 0.743945i
\(695\) 3.78410 9.06292i 0.143539 0.343776i
\(696\) 3.40246 + 3.77882i 0.128970 + 0.143236i
\(697\) −71.4477 37.9894i −2.70627 1.43895i
\(698\) 1.74102 6.98285i 0.0658986 0.264305i
\(699\) −13.2700 11.1349i −0.501919 0.421160i
\(700\) 0.169593 + 0.0158063i 0.00641001 + 0.000597423i
\(701\) 1.57604 + 0.573633i 0.0595263 + 0.0216658i 0.371612 0.928388i \(-0.378805\pi\)
−0.312085 + 0.950054i \(0.601028\pi\)
\(702\) −11.4837 + 8.34337i −0.433423 + 0.314900i
\(703\) −0.972850 0.800527i −0.0366917 0.0301924i
\(704\) 0.189771 0.584054i 0.00715226 0.0220124i
\(705\) −26.9194 + 19.0866i −1.01384 + 0.718842i
\(706\) 9.90542 5.26681i 0.372796 0.198219i
\(707\) −0.242183 0.203216i −0.00910822 0.00764271i
\(708\) −1.15057 0.718958i −0.0432412 0.0270201i
\(709\) 9.18275 8.86768i 0.344866 0.333033i −0.501973 0.864884i \(-0.667392\pi\)
0.846838 + 0.531851i \(0.178503\pi\)
\(710\) 5.83183 30.9757i 0.218865 1.16250i
\(711\) −0.466002 0.207477i −0.0174764 0.00778101i
\(712\) −6.62899 1.90083i −0.248432 0.0712368i
\(713\) −2.93037 0.840271i −0.109743 0.0314684i
\(714\) −0.256424 0.114167i −0.00959642 0.00427260i
\(715\) 3.25647 + 1.78009i 0.121785 + 0.0665714i
\(716\) −14.9546 + 14.4415i −0.558880 + 0.539704i
\(717\) 13.4972 + 8.43396i 0.504061 + 0.314972i
\(718\) 12.1702 + 10.2120i 0.454188 + 0.381109i
\(719\) 17.7883 9.45821i 0.663392 0.352732i −0.103389 0.994641i \(-0.532969\pi\)
0.766781 + 0.641909i \(0.221857\pi\)
\(720\) −4.03686 0.0466679i −0.150445 0.00173921i
\(721\) −0.0338009 + 0.104029i −0.00125881 + 0.00387423i
\(722\) −18.7608 + 3.00510i −0.698206 + 0.111838i
\(723\) −19.8201 + 14.4001i −0.737117 + 0.535547i
\(724\) 8.18131 + 2.97775i 0.304056 + 0.110667i
\(725\) −23.1619 2.15872i −0.860211 0.0801730i
\(726\) −8.89398 7.46294i −0.330087 0.276976i
\(727\) −12.1976 + 48.9221i −0.452385 + 1.81442i 0.117965 + 0.993018i \(0.462363\pi\)
−0.570351 + 0.821401i \(0.693193\pi\)
\(728\) 0.0812902 + 0.0432227i 0.00301281 + 0.00160194i
\(729\) 11.9144 + 13.2323i 0.441274 + 0.490085i
\(730\) 4.03987 + 17.0398i 0.149522 + 0.630672i
\(731\) 22.7919 + 29.1723i 0.842990 + 1.07898i
\(732\) −9.15110 + 3.33073i −0.338234 + 0.123107i
\(733\) −1.41178 + 1.56794i −0.0521452 + 0.0579131i −0.768653 0.639666i \(-0.779073\pi\)
0.716508 + 0.697579i \(0.245739\pi\)
\(734\) −1.48878 + 0.662846i −0.0549517 + 0.0244661i
\(735\) 7.67535 15.2858i 0.283110 0.563824i
\(736\) 0.695198 2.78829i 0.0256253 0.102778i
\(737\) 1.81077 + 7.26259i 0.0667005 + 0.267521i
\(738\) 8.49515 17.4176i 0.312711 0.641152i
\(739\) 2.77411 0.795463i 0.102047 0.0292616i −0.224225 0.974537i \(-0.571985\pi\)
0.326272 + 0.945276i \(0.394207\pi\)
\(740\) −0.391989 0.513858i −0.0144098 0.0188898i
\(741\) −10.8530 + 6.92751i −0.398696 + 0.254488i
\(742\) 0.0832502 + 0.256218i 0.00305621 + 0.00940605i
\(743\) 39.8482 + 14.5036i 1.46189 + 0.532084i 0.945885 0.324501i \(-0.105196\pi\)
0.516005 + 0.856586i \(0.327419\pi\)
\(744\) 1.02372 0.544324i 0.0375316 0.0199559i
\(745\) 9.27452 11.5921i 0.339792 0.424702i
\(746\) −4.45925 11.0370i −0.163265 0.404095i
\(747\) −20.0584 10.6652i −0.733899 0.390221i
\(748\) −0.483942 4.60440i −0.0176947 0.168354i
\(749\) 0.0983216 + 0.170298i 0.00359259 + 0.00622255i
\(750\) −9.07905 + 8.17854i −0.331520 + 0.298638i
\(751\) 15.7017 5.71497i 0.572965 0.208542i −0.0392557 0.999229i \(-0.512499\pi\)
0.612221 + 0.790687i \(0.290276\pi\)
\(752\) −12.3353 5.49202i −0.449821 0.200273i
\(753\) 2.09627 + 2.32814i 0.0763922 + 0.0848422i
\(754\) −11.1021 5.90308i −0.404314 0.214977i
\(755\) 29.2624 + 33.2645i 1.06497 + 1.21062i
\(756\) 0.0670234 0.165889i 0.00243762 0.00603332i
\(757\) 6.99543 + 39.6731i 0.254253 + 1.44194i 0.797982 + 0.602681i \(0.205901\pi\)
−0.543729 + 0.839261i \(0.682988\pi\)
\(758\) −0.602375 + 17.2498i −0.0218793 + 0.626540i
\(759\) 1.56041 + 1.13370i 0.0566393 + 0.0411508i
\(760\) −9.72170 0.698939i −0.352643 0.0253532i
\(761\) −17.0766 + 12.4069i −0.619027 + 0.449749i −0.852581 0.522594i \(-0.824964\pi\)
0.233555 + 0.972344i \(0.424964\pi\)
\(762\) 4.13961 + 6.13722i 0.149962 + 0.222328i
\(763\) 0.271498 0.556653i 0.00982888 0.0201522i
\(764\) −7.70298 0.538645i −0.278684 0.0194875i
\(765\) −27.9457 + 12.0571i −1.01038 + 0.435926i
\(766\) −9.97781 + 9.63546i −0.360513 + 0.348143i
\(767\) 3.28159 + 0.697524i 0.118491 + 0.0251861i
\(768\) 0.546475 + 0.946523i 0.0197192 + 0.0341547i
\(769\) −0.714011 0.913892i −0.0257479 0.0329558i 0.774965 0.632005i \(-0.217768\pi\)
−0.800712 + 0.599049i \(0.795545\pi\)
\(770\) −0.0466993 + 0.00272347i −0.00168293 + 9.81470e-5i
\(771\) −16.7517 + 3.56069i −0.603299 + 0.128235i
\(772\) −8.54304 9.48801i −0.307471 0.341481i
\(773\) −9.19976 18.8623i −0.330892 0.678430i 0.666878 0.745167i \(-0.267630\pi\)
−0.997771 + 0.0667367i \(0.978741\pi\)
\(774\) −6.79155 + 5.69879i −0.244117 + 0.204839i
\(775\) −1.75526 + 5.00533i −0.0630508 + 0.179797i
\(776\) 3.03629 + 17.2196i 0.108996 + 0.618149i
\(777\) 0.0103445 0.00296623i 0.000371105 0.000106413i
\(778\) −9.60540 + 29.5624i −0.344370 + 1.05986i
\(779\) 23.0030 40.7408i 0.824168 1.45969i
\(780\) −6.23237 + 2.18714i −0.223155 + 0.0783123i
\(781\) −0.302111 + 8.65132i −0.0108104 + 0.309568i
\(782\) −3.76197 21.3352i −0.134528 0.762945i
\(783\) −9.15362 + 22.6560i −0.327124 + 0.809660i
\(784\) 6.98179 0.488214i 0.249350 0.0174362i
\(785\) 9.95770 + 1.51704i 0.355406 + 0.0541456i
\(786\) −1.18684 11.2920i −0.0423331 0.402773i
\(787\) −2.43794 + 23.1954i −0.0869032 + 0.826828i 0.861072 + 0.508483i \(0.169794\pi\)
−0.947975 + 0.318345i \(0.896873\pi\)
\(788\) 1.78229 + 0.511065i 0.0634916 + 0.0182059i
\(789\) 16.8864 25.0351i 0.601172 0.891273i
\(790\) −0.479232 0.411657i −0.0170503 0.0146461i
\(791\) −0.356183 + 0.158583i −0.0126644 + 0.00563857i
\(792\) 1.09796 0.154309i 0.0390144 0.00548312i
\(793\) 18.4471 15.4790i 0.655076 0.549674i
\(794\) −4.88633 + 12.0941i −0.173409 + 0.429203i
\(795\) −17.5644 8.06473i −0.622944 0.286026i
\(796\) −11.7610 + 15.0534i −0.416858 + 0.533554i
\(797\) 16.7178 51.4522i 0.592176 1.82253i 0.0238657 0.999715i \(-0.492403\pi\)
0.568310 0.822814i \(-0.307597\pi\)
\(798\) 0.0697396 0.146542i 0.00246876 0.00518753i
\(799\) −101.796 −3.60128
\(800\) −4.77316 1.48893i −0.168757 0.0526416i
\(801\) −2.16204 12.2615i −0.0763920 0.433240i
\(802\) 18.0135 + 1.25962i 0.636077 + 0.0444789i
\(803\) −1.80168 4.45931i −0.0635798 0.157366i
\(804\) −11.7619 6.25389i −0.414809 0.220558i
\(805\) −0.217102 + 0.0279564i −0.00765183 + 0.000985335i
\(806\) −1.91843 + 2.13063i −0.0675738 + 0.0750483i
\(807\) 4.49073 1.63449i 0.158081 0.0575369i
\(808\) 5.71367 + 7.31317i 0.201006 + 0.257276i
\(809\) −4.54373 + 43.2307i −0.159749 + 1.51991i 0.561640 + 0.827382i \(0.310171\pi\)
−0.721389 + 0.692530i \(0.756496\pi\)
\(810\) 0.309986 + 0.654666i 0.0108918 + 0.0230026i
\(811\) 23.6829 + 48.5571i 0.831618 + 1.70507i 0.700440 + 0.713712i \(0.252987\pi\)
0.131179 + 0.991359i \(0.458124\pi\)
\(812\) 0.158102 0.0110556i 0.00554831 0.000387976i
\(813\) 5.46117 + 21.9036i 0.191532 + 0.768192i
\(814\) 0.127682 + 0.123301i 0.00447527 + 0.00432171i
\(815\) −41.2599 + 29.2544i −1.44527 + 1.02474i
\(816\) 6.66607 + 4.84318i 0.233359 + 0.169545i
\(817\) −17.1950 + 12.7469i −0.601576 + 0.445958i
\(818\) 19.8556 0.694235
\(819\) −0.00580109 + 0.166122i −0.000202707 + 0.00580476i
\(820\) 16.2648 17.6493i 0.567991 0.616339i
\(821\) −28.8582 + 18.0326i −1.00716 + 0.629343i −0.929956 0.367672i \(-0.880155\pi\)
−0.0772043 + 0.997015i \(0.524599\pi\)
\(822\) −7.15239 17.7028i −0.249468 0.617456i
\(823\) −12.2751 25.1678i −0.427884 0.877293i −0.998429 0.0560266i \(-0.982157\pi\)
0.570545 0.821266i \(-0.306732\pi\)
\(824\) 1.60546 2.78074i 0.0559290 0.0968718i
\(825\) 2.12672 2.59607i 0.0740430 0.0903834i
\(826\) −0.0397370 + 0.0144631i −0.00138263 + 0.000503235i
\(827\) −6.89091 + 10.2162i −0.239620 + 0.355252i −0.929596 0.368581i \(-0.879844\pi\)
0.689975 + 0.723833i \(0.257621\pi\)
\(828\) 5.07488 1.07870i 0.176364 0.0374874i
\(829\) −15.7945 17.5416i −0.548566 0.609244i 0.403559 0.914954i \(-0.367773\pi\)
−0.952125 + 0.305710i \(0.901106\pi\)
\(830\) −20.0119 19.7774i −0.694623 0.686483i
\(831\) −13.2843 8.30092i −0.460826 0.287956i
\(832\) −2.07034 1.73722i −0.0717760 0.0602273i
\(833\) 46.5879 24.7712i 1.61417 0.858271i
\(834\) −2.68437 3.97973i −0.0929520 0.137807i
\(835\) 16.2521 5.70341i 0.562428 0.197375i
\(836\) 2.66841 0.212359i 0.0922890 0.00734458i
\(837\) 4.50755 + 3.27493i 0.155804 + 0.113198i
\(838\) −2.67977 3.97293i −0.0925713 0.137243i
\(839\) 3.21384 + 3.10357i 0.110954 + 0.107147i 0.748066 0.663624i \(-0.230982\pi\)
−0.637112 + 0.770771i \(0.719871\pi\)
\(840\) 0.0520108 0.0650076i 0.00179454 0.00224297i
\(841\) 7.33676 0.513036i 0.252992 0.0176909i
\(842\) 6.46948 0.909226i 0.222953 0.0313340i
\(843\) 11.0803 19.1916i 0.381626 0.660995i
\(844\) −8.45670 + 9.39211i −0.291092 + 0.323290i
\(845\) −9.85042 + 8.07330i −0.338865 + 0.277730i
\(846\) −0.850796 24.3636i −0.0292510 0.837638i
\(847\) −0.353966 + 0.0752379i −0.0121624 + 0.00258520i
\(848\) −0.826650 7.86505i −0.0283873 0.270087i
\(849\) −3.69734 + 20.9686i −0.126892 + 0.719642i
\(850\) −37.4393 + 4.38176i −1.28416 + 0.150293i
\(851\) 0.636264 + 0.533889i 0.0218108 + 0.0183015i
\(852\) −11.0824 10.7022i −0.379677 0.366650i
\(853\) 10.8597 13.8998i 0.371829 0.475919i −0.565309 0.824879i \(-0.691243\pi\)
0.937137 + 0.348960i \(0.113465\pi\)
\(854\) −0.0937962 + 0.288675i −0.00320964 + 0.00987826i
\(855\) −6.56016 16.3289i −0.224353 0.558438i
\(856\) −1.78380 5.48996i −0.0609689 0.187643i
\(857\) −23.6802 8.61889i −0.808900 0.294416i −0.0957306 0.995407i \(-0.530519\pi\)
−0.713169 + 0.700992i \(0.752741\pi\)
\(858\) 1.60166 0.851616i 0.0546797 0.0290737i
\(859\) −9.26626 37.1649i −0.316161 1.26805i −0.892577 0.450895i \(-0.851105\pi\)
0.576416 0.817156i \(-0.304451\pi\)
\(860\) −10.0819 + 4.34982i −0.343790 + 0.148328i
\(861\) 0.175186 + 0.359185i 0.00597033 + 0.0122410i
\(862\) 21.9701 9.78174i 0.748306 0.333167i
\(863\) −0.819912 + 7.80094i −0.0279101 + 0.265547i 0.971664 + 0.236366i \(0.0759565\pi\)
−0.999574 + 0.0291809i \(0.990710\pi\)
\(864\) −2.93695 + 4.35421i −0.0999172 + 0.148133i
\(865\) −44.2424 28.3621i −1.50429 0.964339i
\(866\) 4.12469 39.2438i 0.140163 1.33356i
\(867\) 42.5873 + 9.05222i 1.44634 + 0.307430i
\(868\) 0.00627529 0.0355889i 0.000212997 0.00120797i
\(869\) 0.147142 + 0.0919446i 0.00499145 + 0.00311901i
\(870\) −7.10329 + 8.87831i −0.240824 + 0.301003i
\(871\) 32.6197 + 4.58440i 1.10528 + 0.155337i
\(872\) −11.1931 + 14.3265i −0.379046 + 0.485157i
\(873\) −25.5398 + 18.5558i −0.864392 + 0.628018i
\(874\) 12.3867 1.86229i 0.418987 0.0629930i
\(875\) 0.0266539 + 0.379931i 0.000901068 + 0.0128440i
\(876\) 8.04342 + 2.92757i 0.271762 + 0.0989133i
\(877\) −15.2335 14.7108i −0.514400 0.496750i 0.391538 0.920162i \(-0.371943\pi\)
−0.905937 + 0.423412i \(0.860832\pi\)
\(878\) −24.4125 + 15.2546i −0.823881 + 0.514818i
\(879\) −1.72201 4.26213i −0.0580821 0.143758i
\(880\) 1.35753 + 0.206818i 0.0457623 + 0.00697184i
\(881\) 8.71338 + 1.85209i 0.293561 + 0.0623983i 0.352338 0.935873i \(-0.385387\pi\)
−0.0587769 + 0.998271i \(0.518720\pi\)
\(882\) 6.31806 + 10.9432i 0.212740 + 0.368477i
\(883\) 17.9344 + 22.9550i 0.603541 + 0.772497i 0.988628 0.150383i \(-0.0480508\pi\)
−0.385087 + 0.922880i \(0.625829\pi\)
\(884\) −19.5858 5.61613i −0.658741 0.188891i
\(885\) 1.16890 2.79951i 0.0392921 0.0941046i
\(886\) −3.33251 31.7067i −0.111958 1.06521i
\(887\) −23.0952 + 22.3028i −0.775461 + 0.748854i −0.972841 0.231473i \(-0.925645\pi\)
0.197381 + 0.980327i \(0.436757\pi\)
\(888\) −0.315131 + 0.0220361i −0.0105751 + 0.000739483i
\(889\) 0.230173 + 0.0160952i 0.00771974 + 0.000539817i
\(890\) 1.78902 15.3161i 0.0599682 0.513397i
\(891\) −0.111242 0.164924i −0.00372676 0.00552515i
\(892\) 5.14069 + 15.8214i 0.172123 + 0.529741i
\(893\) 1.48919 58.8378i 0.0498339 1.96893i
\(894\) −2.24232 6.90115i −0.0749944 0.230809i
\(895\) −37.2899 27.7569i −1.24646 0.927812i
\(896\) 0.0337341 + 0.00474101i 0.00112698 + 0.000158386i
\(897\) 7.19849 4.49812i 0.240351 0.150188i
\(898\) 3.62651 14.5451i 0.121018 0.485377i
\(899\) −0.857038 + 4.86050i −0.0285838 + 0.162107i
\(900\) −1.36163 8.92402i −0.0453878 0.297467i
\(901\) −29.8105 51.6333i −0.993131 1.72015i
\(902\) −3.68596 + 5.46465i −0.122729 + 0.181953i
\(903\) −0.00638062 0.182717i −0.000212334 0.00608044i
\(904\) 11.1952 2.37961i 0.372347 0.0791448i
\(905\) −3.60199 + 19.1319i −0.119734 + 0.635966i
\(906\) 21.4441 3.01377i 0.712433 0.100126i
\(907\) −8.34689 + 7.00388i −0.277154 + 0.232560i −0.770760 0.637126i \(-0.780123\pi\)
0.493606 + 0.869686i \(0.335679\pi\)
\(908\) −3.98964 + 9.87471i −0.132401 + 0.327704i
\(909\) −7.34519 + 15.0599i −0.243625 + 0.499505i
\(910\) −0.0658756 + 0.195043i −0.00218376 + 0.00646562i
\(911\) −34.7781 + 25.2678i −1.15225 + 0.837159i −0.988778 0.149389i \(-0.952269\pi\)
−0.163472 + 0.986548i \(0.552269\pi\)
\(912\) −2.89687 + 3.78212i −0.0959249 + 0.125239i
\(913\) 6.25142 + 4.54192i 0.206892 + 0.150316i
\(914\) 25.7418 7.38136i 0.851465 0.244154i
\(915\) −10.6691 18.9829i −0.352711 0.627556i
\(916\) 2.75783 + 11.0610i 0.0911211 + 0.365467i
\(917\) −0.300119 0.187535i −0.00991079 0.00619295i
\(918\) −6.87571 + 38.9941i −0.226932 + 1.28700i
\(919\) 27.7689 + 5.90246i 0.916011 + 0.194704i 0.641717 0.766942i \(-0.278223\pi\)
0.274294 + 0.961646i \(0.411556\pi\)
\(920\) 6.40441 + 0.522300i 0.211147 + 0.0172197i
\(921\) 0.370004 + 10.5955i 0.0121921 + 0.349135i
\(922\) 0.596346 + 17.0771i 0.0196396 + 0.562405i
\(923\) 34.8030 + 15.4953i 1.14556 + 0.510034i
\(924\) −0.0114323 + 0.0198013i −0.000376095 + 0.000651415i
\(925\) 0.991579 1.05133i 0.0326029 0.0345675i
\(926\) −12.2597 + 10.2871i −0.402880 + 0.338056i
\(927\) 5.78308 + 0.404392i 0.189941 + 0.0132820i
\(928\) −4.60718 0.647496i −0.151238 0.0212551i
\(929\) 18.6487 23.8693i 0.611845 0.783126i −0.377919 0.925839i \(-0.623360\pi\)
0.989764 + 0.142713i \(0.0455824\pi\)
\(930\) 1.57243 + 2.06130i 0.0515621 + 0.0675927i
\(931\) 13.6362 + 27.2900i 0.446907 + 0.894395i
\(932\) 15.8496 0.519170
\(933\) 1.16769 33.4383i 0.0382285 1.09472i
\(934\) −6.31030 + 12.9380i −0.206479 + 0.423345i
\(935\) 9.98375 2.73830i 0.326504 0.0895520i
\(936\) 1.18046 4.73455i 0.0385844 0.154754i
\(937\) −20.9916 + 20.2714i −0.685766 + 0.662237i −0.953547 0.301243i \(-0.902599\pi\)
0.267781 + 0.963480i \(0.413710\pi\)
\(938\) −0.379303 + 0.168877i −0.0123847 + 0.00551402i
\(939\) −3.82911 1.70483i −0.124958 0.0556350i
\(940\) 7.64247 29.2096i 0.249270 0.952711i
\(941\) 3.33351 + 0.955868i 0.108669 + 0.0311604i 0.329531 0.944145i \(-0.393109\pi\)
−0.220862 + 0.975305i \(0.570887\pi\)
\(942\) 3.29434 3.65873i 0.107335 0.119208i
\(943\) −15.4221 + 26.7119i −0.502214 + 0.869860i
\(944\) 1.22927 0.172762i 0.0400092 0.00562293i
\(945\) 0.390340 + 0.0876973i 0.0126978 + 0.00285279i
\(946\) 2.55738 1.59803i 0.0831475 0.0519563i
\(947\) −29.4987 4.14577i −0.958578 0.134719i −0.357503 0.933912i \(-0.616372\pi\)
−0.601075 + 0.799193i \(0.705261\pi\)
\(948\) −0.296833 + 0.0851154i −0.00964067 + 0.00276442i
\(949\) −21.1661 −0.687082
\(950\) −1.98494 21.7039i −0.0644000 0.704168i
\(951\) −3.07307 −0.0996510
\(952\) 0.246871 0.0707890i 0.00800112 0.00229428i
\(953\) 45.2444 + 6.35868i 1.46561 + 0.205978i 0.826413 0.563065i \(-0.190378\pi\)
0.639197 + 0.769043i \(0.279267\pi\)
\(954\) 12.1086 7.56632i 0.392032 0.244969i
\(955\) −1.60621 17.1916i −0.0519759 0.556307i
\(956\) −14.4203 + 2.02664i −0.466386 + 0.0655463i
\(957\) 1.56135 2.70433i 0.0504712 0.0874187i
\(958\) −24.8808 + 27.6329i −0.803861 + 0.892779i
\(959\) −0.572049 0.164032i −0.0184724 0.00529688i
\(960\) −1.89018 + 1.54917i −0.0610053 + 0.0499992i
\(961\) −27.2918 12.1511i −0.880382 0.391971i
\(962\) 0.713620 0.317724i 0.0230080 0.0102438i
\(963\) 7.49695 7.23972i 0.241586 0.233297i
\(964\) 5.42279 21.7496i 0.174656 0.700508i
\(965\) 17.8352 22.2920i 0.574136 0.717606i
\(966\) −0.0469020 + 0.0961634i −0.00150905 + 0.00309401i
\(967\) −1.13641 + 32.5425i −0.0365445 + 1.04650i 0.833193 + 0.552983i \(0.186510\pi\)
−0.869737 + 0.493515i \(0.835712\pi\)
\(968\) 10.6229 0.341432
\(969\) −8.35388 + 34.9310i −0.268365 + 1.12215i
\(970\) −36.8925 + 12.9468i −1.18455 + 0.415696i
\(971\) −13.8774 + 17.7622i −0.445346 + 0.570017i −0.957337 0.288974i \(-0.906686\pi\)
0.511991 + 0.858991i \(0.328908\pi\)
\(972\) −15.2524 2.14359i −0.489222 0.0687557i
\(973\) −0.149257 0.0104371i −0.00478498 0.000334598i
\(974\) 8.90430 7.47160i 0.285312 0.239405i
\(975\) −7.08695 12.9578i −0.226964 0.414982i
\(976\) 4.45510 7.71645i 0.142604 0.246998i
\(977\) 27.8973 + 12.4207i 0.892512 + 0.397372i 0.801163 0.598447i \(-0.204215\pi\)
0.0913498 + 0.995819i \(0.470882\pi\)
\(978\) 0.862783 + 24.7069i 0.0275887 + 0.790038i
\(979\) 0.147799 + 4.23242i 0.00472368 + 0.135269i
\(980\) 3.61026 + 15.2278i 0.115326 + 0.486433i
\(981\) −32.1071 6.82457i −1.02510 0.217892i
\(982\) −4.55424 + 25.8284i −0.145332 + 0.824216i
\(983\) −39.6067 24.7490i −1.26326 0.789371i −0.278022 0.960575i \(-0.589679\pi\)
−0.985236 + 0.171204i \(0.945234\pi\)
\(984\) −2.83803 11.3827i −0.0904731 0.362868i
\(985\) −0.481003 + 4.11794i −0.0153260 + 0.131208i
\(986\) −33.7160 + 9.66790i −1.07373 + 0.307889i
\(987\) 0.406717 + 0.295497i 0.0129460 + 0.00940578i
\(988\) 3.53263 11.2384i 0.112388 0.357540i
\(989\) 11.4161 8.29429i 0.363011 0.263743i
\(990\) 0.738822 + 2.36660i 0.0234813 + 0.0752156i
\(991\) 13.0072 26.6688i 0.413188 0.847161i −0.586129 0.810218i \(-0.699349\pi\)
0.999317 0.0369437i \(-0.0117622\pi\)
\(992\) −0.397396 + 0.983589i −0.0126173 + 0.0312290i
\(993\) −10.4369 + 8.75759i −0.331205 + 0.277914i
\(994\) −0.475520 + 0.0668299i −0.0150826 + 0.00211972i
\(995\) −37.4814 20.4884i −1.18824 0.649527i
\(996\) −13.4517 + 2.85926i −0.426235 + 0.0905990i
\(997\) 1.07513 + 30.7876i 0.0340496 + 0.975052i 0.889435 + 0.457061i \(0.151098\pi\)
−0.855386 + 0.517991i \(0.826680\pi\)
\(998\) 21.3619 31.6702i 0.676198 1.00250i
\(999\) −0.759024 1.31467i −0.0240144 0.0415942i
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 950.2.bc.b.61.7 600
19.5 even 9 inner 950.2.bc.b.461.19 yes 600
25.16 even 5 inner 950.2.bc.b.441.19 yes 600
475.366 even 45 inner 950.2.bc.b.841.7 yes 600
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
950.2.bc.b.61.7 600 1.1 even 1 trivial
950.2.bc.b.441.19 yes 600 25.16 even 5 inner
950.2.bc.b.461.19 yes 600 19.5 even 9 inner
950.2.bc.b.841.7 yes 600 475.366 even 45 inner