Properties

Label 162.2.g.a.13.1
Level $162$
Weight $2$
Character 162.13
Analytic conductor $1.294$
Analytic rank $0$
Dimension $72$
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] = [162,2,Mod(7,162)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(162, base_ring=CyclotomicField(54))
 
chi = DirichletCharacter(H, H._module([16]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("162.7");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 162.g (of order \(27\), degree \(18\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.29357651274\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(4\) over \(\Q(\zeta_{27})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{27}]$

Embedding invariants

Embedding label 13.1
Character \(\chi\) \(=\) 162.13
Dual form 162.2.g.a.25.1

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.893633 - 0.448799i) q^{2} +(-1.71649 + 0.231626i) q^{3} +(0.597159 + 0.802123i) q^{4} +(-0.267154 - 0.892356i) q^{5} +(1.63787 + 0.563372i) q^{6} +(1.11188 + 2.57764i) q^{7} +(-0.173648 - 0.984808i) q^{8} +(2.89270 - 0.795169i) q^{9} +O(q^{10})\) \(q+(-0.893633 - 0.448799i) q^{2} +(-1.71649 + 0.231626i) q^{3} +(0.597159 + 0.802123i) q^{4} +(-0.267154 - 0.892356i) q^{5} +(1.63787 + 0.563372i) q^{6} +(1.11188 + 2.57764i) q^{7} +(-0.173648 - 0.984808i) q^{8} +(2.89270 - 0.795169i) q^{9} +(-0.161751 + 0.917337i) q^{10} +(4.46341 - 1.05785i) q^{11} +(-1.21081 - 1.23852i) q^{12} +(1.47403 + 0.969483i) q^{13} +(0.163226 - 2.80247i) q^{14} +(0.665260 + 1.46984i) q^{15} +(-0.286803 + 0.957990i) q^{16} +(1.42569 - 0.518907i) q^{17} +(-2.94188 - 0.587652i) q^{18} +(4.12421 + 1.50109i) q^{19} +(0.556246 - 0.747168i) q^{20} +(-2.50559 - 4.16696i) q^{21} +(-4.46341 - 1.05785i) q^{22} +(-2.92223 + 6.77448i) q^{23} +(0.526173 + 1.65019i) q^{24} +(3.45251 - 2.27075i) q^{25} +(-0.882135 - 1.52790i) q^{26} +(-4.78112 + 2.03493i) q^{27} +(-1.40361 + 2.43113i) q^{28} +(-0.418954 - 7.19315i) q^{29} +(0.0651659 - 1.61207i) q^{30} +(-6.24778 + 0.730261i) q^{31} +(0.686242 - 0.727374i) q^{32} +(-7.41639 + 2.84963i) q^{33} +(-1.50693 - 0.176134i) q^{34} +(2.00313 - 1.68082i) q^{35} +(2.36522 + 1.84546i) q^{36} +(-0.516723 - 0.433582i) q^{37} +(-3.01184 - 3.19236i) q^{38} +(-2.75471 - 1.32269i) q^{39} +(-0.832408 + 0.418051i) q^{40} +(-8.46317 + 4.25037i) q^{41} +(0.368950 + 4.84823i) q^{42} +(3.77539 + 4.00168i) q^{43} +(3.51389 + 2.94850i) q^{44} +(-1.48237 - 2.36888i) q^{45} +(5.65178 - 4.74241i) q^{46} +(5.01677 + 0.586377i) q^{47} +(0.270401 - 1.71081i) q^{48} +(-0.604237 + 0.640453i) q^{49} +(-4.10439 + 0.479734i) q^{50} +(-2.32699 + 1.22093i) q^{51} +(0.102583 + 1.76129i) q^{52} +(-1.33883 + 2.31892i) q^{53} +(5.18583 + 0.327285i) q^{54} +(-2.13639 - 3.70034i) q^{55} +(2.34540 - 1.54259i) q^{56} +(-7.42686 - 1.62134i) q^{57} +(-2.85389 + 6.61606i) q^{58} +(4.89941 + 1.16118i) q^{59} +(-0.781729 + 1.41135i) q^{60} +(3.14866 - 4.22938i) q^{61} +(5.91096 + 2.15141i) q^{62} +(5.26600 + 6.57219i) q^{63} +(-0.939693 + 0.342020i) q^{64} +(0.471331 - 1.57436i) q^{65} +(7.90644 + 0.781947i) q^{66} +(0.832311 - 14.2902i) q^{67} +(1.26759 + 0.833706i) q^{68} +(3.44684 - 12.3052i) q^{69} +(-2.54441 + 0.603036i) q^{70} +(-0.0492509 + 0.279316i) q^{71} +(-1.28540 - 2.71067i) q^{72} +(-2.01050 - 11.4021i) q^{73} +(0.267169 + 0.619368i) q^{74} +(-5.40025 + 4.69742i) q^{75} +(1.25875 + 4.20451i) q^{76} +(7.68955 + 10.3289i) q^{77} +(1.86808 + 2.41831i) q^{78} +(3.17920 + 1.59665i) q^{79} +0.931488 q^{80} +(7.73541 - 4.60037i) q^{81} +9.47053 q^{82} +(-9.56164 - 4.80204i) q^{83} +(1.84618 - 4.49813i) q^{84} +(-0.843927 - 1.13359i) q^{85} +(-1.57786 - 5.27043i) q^{86} +(2.38525 + 12.2500i) q^{87} +(-1.81684 - 4.21191i) q^{88} +(1.74720 + 9.90888i) q^{89} +(0.261540 + 2.78220i) q^{90} +(-0.860028 + 4.87746i) q^{91} +(-7.17900 + 1.70145i) q^{92} +(10.5551 - 2.70064i) q^{93} +(-4.21999 - 2.77553i) q^{94} +(0.237708 - 4.08128i) q^{95} +(-1.00945 + 1.40748i) q^{96} +(-4.96298 + 16.5775i) q^{97} +(0.827401 - 0.301149i) q^{98} +(12.0701 - 6.60920i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q + 9 q^{6}+O(q^{10}) \) Copy content Toggle raw display \( 72 q + 9 q^{6} + 18 q^{13} - 9 q^{20} - 81 q^{23} + 18 q^{25} - 27 q^{26} - 27 q^{27} + 18 q^{28} - 27 q^{29} - 63 q^{30} - 54 q^{31} + 9 q^{33} - 27 q^{35} - 9 q^{36} + 9 q^{38} - 9 q^{41} + 9 q^{42} + 36 q^{43} - 117 q^{45} - 18 q^{46} - 27 q^{47} + 9 q^{48} - 27 q^{51} - 36 q^{52} - 27 q^{53} + 54 q^{55} + 27 q^{57} + 9 q^{58} - 18 q^{59} + 9 q^{63} + 9 q^{65} + 36 q^{66} - 135 q^{67} - 18 q^{68} + 108 q^{69} + 18 q^{70} + 72 q^{71} + 54 q^{72} + 36 q^{73} + 99 q^{74} - 36 q^{75} - 9 q^{76} + 144 q^{77} + 90 q^{78} - 9 q^{79} + 18 q^{80} - 72 q^{82} + 99 q^{83} + 18 q^{84} + 9 q^{85} + 72 q^{86} + 207 q^{87} - 9 q^{88} + 126 q^{89} - 18 q^{90} + 63 q^{91} + 36 q^{92} + 81 q^{93} + 18 q^{94} + 45 q^{95} - 171 q^{97} + 36 q^{98} + 99 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{4}{27}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.893633 0.448799i −0.631894 0.317349i
\(3\) −1.71649 + 0.231626i −0.991018 + 0.133729i
\(4\) 0.597159 + 0.802123i 0.298579 + 0.401062i
\(5\) −0.267154 0.892356i −0.119475 0.399074i 0.877241 0.480050i \(-0.159381\pi\)
−0.996716 + 0.0809762i \(0.974196\pi\)
\(6\) 1.63787 + 0.563372i 0.668657 + 0.229996i
\(7\) 1.11188 + 2.57764i 0.420253 + 0.974255i 0.988476 + 0.151381i \(0.0483719\pi\)
−0.568223 + 0.822875i \(0.692369\pi\)
\(8\) −0.173648 0.984808i −0.0613939 0.348182i
\(9\) 2.89270 0.795169i 0.964233 0.265056i
\(10\) −0.161751 + 0.917337i −0.0511502 + 0.290087i
\(11\) 4.46341 1.05785i 1.34577 0.318953i 0.506299 0.862358i \(-0.331013\pi\)
0.839471 + 0.543405i \(0.182865\pi\)
\(12\) −1.21081 1.23852i −0.349531 0.357530i
\(13\) 1.47403 + 0.969483i 0.408821 + 0.268886i 0.737219 0.675653i \(-0.236138\pi\)
−0.328398 + 0.944539i \(0.606509\pi\)
\(14\) 0.163226 2.80247i 0.0436239 0.748993i
\(15\) 0.665260 + 1.46984i 0.171769 + 0.379512i
\(16\) −0.286803 + 0.957990i −0.0717008 + 0.239497i
\(17\) 1.42569 0.518907i 0.345780 0.125854i −0.163292 0.986578i \(-0.552211\pi\)
0.509071 + 0.860724i \(0.329989\pi\)
\(18\) −2.94188 0.587652i −0.693408 0.138511i
\(19\) 4.12421 + 1.50109i 0.946158 + 0.344373i 0.768595 0.639736i \(-0.220956\pi\)
0.177563 + 0.984109i \(0.443179\pi\)
\(20\) 0.556246 0.747168i 0.124380 0.167072i
\(21\) −2.50559 4.16696i −0.546764 0.909304i
\(22\) −4.46341 1.05785i −0.951603 0.225534i
\(23\) −2.92223 + 6.77448i −0.609326 + 1.41258i 0.282088 + 0.959388i \(0.408973\pi\)
−0.891415 + 0.453189i \(0.850286\pi\)
\(24\) 0.526173 + 1.65019i 0.107405 + 0.336845i
\(25\) 3.45251 2.27075i 0.690502 0.454151i
\(26\) −0.882135 1.52790i −0.173001 0.299646i
\(27\) −4.78112 + 2.03493i −0.920126 + 0.391622i
\(28\) −1.40361 + 2.43113i −0.265258 + 0.459440i
\(29\) −0.418954 7.19315i −0.0777977 1.33574i −0.780904 0.624651i \(-0.785241\pi\)
0.703107 0.711085i \(-0.251796\pi\)
\(30\) 0.0651659 1.61207i 0.0118976 0.294322i
\(31\) −6.24778 + 0.730261i −1.12213 + 0.131159i −0.656863 0.754010i \(-0.728117\pi\)
−0.465271 + 0.885168i \(0.654043\pi\)
\(32\) 0.686242 0.727374i 0.121312 0.128583i
\(33\) −7.41639 + 2.84963i −1.29103 + 0.496057i
\(34\) −1.50693 0.176134i −0.258436 0.0302068i
\(35\) 2.00313 1.68082i 0.338590 0.284111i
\(36\) 2.36522 + 1.84546i 0.394204 + 0.307576i
\(37\) −0.516723 0.433582i −0.0849487 0.0712804i 0.599324 0.800506i \(-0.295436\pi\)
−0.684273 + 0.729226i \(0.739880\pi\)
\(38\) −3.01184 3.19236i −0.488585 0.517870i
\(39\) −2.75471 1.32269i −0.441107 0.211800i
\(40\) −0.832408 + 0.418051i −0.131615 + 0.0660997i
\(41\) −8.46317 + 4.25037i −1.32173 + 0.663796i −0.962963 0.269633i \(-0.913098\pi\)
−0.358763 + 0.933429i \(0.616801\pi\)
\(42\) 0.368950 + 4.84823i 0.0569302 + 0.748099i
\(43\) 3.77539 + 4.00168i 0.575742 + 0.610251i 0.948152 0.317817i \(-0.102950\pi\)
−0.372410 + 0.928068i \(0.621468\pi\)
\(44\) 3.51389 + 2.94850i 0.529739 + 0.444504i
\(45\) −1.48237 2.36888i −0.220978 0.353132i
\(46\) 5.65178 4.74241i 0.833309 0.699230i
\(47\) 5.01677 + 0.586377i 0.731772 + 0.0855319i 0.473815 0.880625i \(-0.342877\pi\)
0.257957 + 0.966156i \(0.416951\pi\)
\(48\) 0.270401 1.71081i 0.0390290 0.246935i
\(49\) −0.604237 + 0.640453i −0.0863195 + 0.0914934i
\(50\) −4.10439 + 0.479734i −0.580448 + 0.0678447i
\(51\) −2.32699 + 1.22093i −0.325844 + 0.170964i
\(52\) 0.102583 + 1.76129i 0.0142257 + 0.244246i
\(53\) −1.33883 + 2.31892i −0.183903 + 0.318529i −0.943206 0.332208i \(-0.892206\pi\)
0.759304 + 0.650737i \(0.225540\pi\)
\(54\) 5.18583 + 0.327285i 0.705703 + 0.0445378i
\(55\) −2.13639 3.70034i −0.288071 0.498954i
\(56\) 2.34540 1.54259i 0.313417 0.206138i
\(57\) −7.42686 1.62134i −0.983712 0.214751i
\(58\) −2.85389 + 6.61606i −0.374734 + 0.868732i
\(59\) 4.89941 + 1.16118i 0.637849 + 0.151173i 0.536802 0.843708i \(-0.319632\pi\)
0.101048 + 0.994882i \(0.467781\pi\)
\(60\) −0.781729 + 1.41135i −0.100921 + 0.182205i
\(61\) 3.14866 4.22938i 0.403144 0.541517i −0.553472 0.832868i \(-0.686697\pi\)
0.956616 + 0.291351i \(0.0941048\pi\)
\(62\) 5.91096 + 2.15141i 0.750693 + 0.273230i
\(63\) 5.26600 + 6.57219i 0.663454 + 0.828019i
\(64\) −0.939693 + 0.342020i −0.117462 + 0.0427525i
\(65\) 0.471331 1.57436i 0.0584615 0.195275i
\(66\) 7.90644 + 0.781947i 0.973216 + 0.0962511i
\(67\) 0.832311 14.2902i 0.101683 1.74583i −0.433554 0.901127i \(-0.642741\pi\)
0.535237 0.844702i \(-0.320222\pi\)
\(68\) 1.26759 + 0.833706i 0.153718 + 0.101102i
\(69\) 3.44684 12.3052i 0.414950 1.48137i
\(70\) −2.54441 + 0.603036i −0.304115 + 0.0720766i
\(71\) −0.0492509 + 0.279316i −0.00584501 + 0.0331487i −0.987591 0.157049i \(-0.949802\pi\)
0.981746 + 0.190198i \(0.0609130\pi\)
\(72\) −1.28540 2.71067i −0.151486 0.319456i
\(73\) −2.01050 11.4021i −0.235312 1.33452i −0.841957 0.539545i \(-0.818596\pi\)
0.606645 0.794973i \(-0.292515\pi\)
\(74\) 0.267169 + 0.619368i 0.0310578 + 0.0720000i
\(75\) −5.40025 + 4.69742i −0.623567 + 0.542412i
\(76\) 1.25875 + 4.20451i 0.144388 + 0.482290i
\(77\) 7.68955 + 10.3289i 0.876305 + 1.17708i
\(78\) 1.86808 + 2.41831i 0.211519 + 0.273820i
\(79\) 3.17920 + 1.59665i 0.357687 + 0.179637i 0.618563 0.785735i \(-0.287715\pi\)
−0.260876 + 0.965372i \(0.584011\pi\)
\(80\) 0.931488 0.104144
\(81\) 7.73541 4.60037i 0.859490 0.511152i
\(82\) 9.47053 1.04584
\(83\) −9.56164 4.80204i −1.04953 0.527092i −0.161494 0.986874i \(-0.551631\pi\)
−0.888032 + 0.459782i \(0.847928\pi\)
\(84\) 1.84618 4.49813i 0.201435 0.490786i
\(85\) −0.843927 1.13359i −0.0915368 0.122955i
\(86\) −1.57786 5.27043i −0.170145 0.568325i
\(87\) 2.38525 + 12.2500i 0.255726 + 1.31333i
\(88\) −1.81684 4.21191i −0.193676 0.448991i
\(89\) 1.74720 + 9.90888i 0.185203 + 1.05034i 0.925694 + 0.378273i \(0.123482\pi\)
−0.740491 + 0.672066i \(0.765407\pi\)
\(90\) 0.261540 + 2.78220i 0.0275687 + 0.293269i
\(91\) −0.860028 + 4.87746i −0.0901554 + 0.511297i
\(92\) −7.17900 + 1.70145i −0.748463 + 0.177389i
\(93\) 10.5551 2.70064i 1.09452 0.280043i
\(94\) −4.21999 2.77553i −0.435259 0.286274i
\(95\) 0.237708 4.08128i 0.0243883 0.418731i
\(96\) −1.00945 + 1.40748i −0.103027 + 0.143651i
\(97\) −4.96298 + 16.5775i −0.503914 + 1.68319i 0.205711 + 0.978613i \(0.434049\pi\)
−0.709626 + 0.704579i \(0.751136\pi\)
\(98\) 0.827401 0.301149i 0.0835801 0.0304207i
\(99\) 12.0701 6.60920i 1.21309 0.664250i
\(100\) 3.88312 + 1.41334i 0.388312 + 0.141334i
\(101\) −3.77928 + 5.07645i −0.376052 + 0.505126i −0.949350 0.314222i \(-0.898257\pi\)
0.573298 + 0.819347i \(0.305664\pi\)
\(102\) 2.62742 0.0467096i 0.260154 0.00462494i
\(103\) −18.1237 4.29540i −1.78578 0.423238i −0.801234 0.598350i \(-0.795823\pi\)
−0.984548 + 0.175112i \(0.943971\pi\)
\(104\) 0.698792 1.61998i 0.0685222 0.158852i
\(105\) −3.04903 + 3.34909i −0.297555 + 0.326838i
\(106\) 2.23715 1.47140i 0.217292 0.142915i
\(107\) −0.530621 0.919062i −0.0512970 0.0888491i 0.839237 0.543766i \(-0.183002\pi\)
−0.890534 + 0.454917i \(0.849669\pi\)
\(108\) −4.48735 2.61987i −0.431795 0.252097i
\(109\) 6.12250 10.6045i 0.586429 1.01573i −0.408266 0.912863i \(-0.633866\pi\)
0.994696 0.102863i \(-0.0328002\pi\)
\(110\) 0.248441 + 4.26556i 0.0236879 + 0.406705i
\(111\) 0.987380 + 0.624554i 0.0937179 + 0.0592800i
\(112\) −2.78824 + 0.325899i −0.263464 + 0.0307945i
\(113\) −4.67396 + 4.95410i −0.439689 + 0.466043i −0.908882 0.417052i \(-0.863063\pi\)
0.469194 + 0.883095i \(0.344545\pi\)
\(114\) 5.90923 + 4.78205i 0.553450 + 0.447880i
\(115\) 6.82593 + 0.797837i 0.636521 + 0.0743987i
\(116\) 5.51961 4.63151i 0.512483 0.430025i
\(117\) 5.03482 + 1.63232i 0.465469 + 0.150908i
\(118\) −3.85714 3.23652i −0.355078 0.297946i
\(119\) 2.92275 + 3.09794i 0.267928 + 0.283987i
\(120\) 1.33199 0.910389i 0.121594 0.0831068i
\(121\) 8.97305 4.50643i 0.815732 0.409676i
\(122\) −4.71189 + 2.36640i −0.426594 + 0.214244i
\(123\) 13.5425 9.25601i 1.22108 0.834587i
\(124\) −4.31667 4.57541i −0.387649 0.410884i
\(125\) −6.51648 5.46797i −0.582851 0.489070i
\(126\) −1.75628 8.23650i −0.156462 0.733766i
\(127\) −6.52630 + 5.47622i −0.579116 + 0.485936i −0.884657 0.466243i \(-0.845607\pi\)
0.305541 + 0.952179i \(0.401163\pi\)
\(128\) 0.993238 + 0.116093i 0.0877907 + 0.0102613i
\(129\) −7.40733 5.99438i −0.652179 0.527776i
\(130\) −1.12777 + 1.19536i −0.0989117 + 0.104840i
\(131\) −15.8598 + 1.85375i −1.38568 + 0.161963i −0.776024 0.630703i \(-0.782766\pi\)
−0.609656 + 0.792666i \(0.708692\pi\)
\(132\) −6.71452 4.24718i −0.584424 0.369669i
\(133\) 0.716379 + 12.2997i 0.0621179 + 1.06652i
\(134\) −7.15722 + 12.3967i −0.618290 + 1.07091i
\(135\) 3.09317 + 3.72282i 0.266218 + 0.320409i
\(136\) −0.758592 1.31392i −0.0650487 0.112668i
\(137\) 8.99273 5.91461i 0.768301 0.505319i −0.103828 0.994595i \(-0.533109\pi\)
0.872129 + 0.489276i \(0.162739\pi\)
\(138\) −8.60278 + 9.44941i −0.732317 + 0.804387i
\(139\) 2.55292 5.91833i 0.216536 0.501986i −0.774978 0.631988i \(-0.782239\pi\)
0.991514 + 0.130002i \(0.0414984\pi\)
\(140\) 2.54441 + 0.603036i 0.215042 + 0.0509659i
\(141\) −8.74708 + 0.155503i −0.736637 + 0.0130957i
\(142\) 0.169369 0.227502i 0.0142131 0.0190916i
\(143\) 7.60475 + 2.76790i 0.635941 + 0.231464i
\(144\) −0.0678720 + 2.99923i −0.00565600 + 0.249936i
\(145\) −6.30693 + 2.29553i −0.523762 + 0.190634i
\(146\) −3.32061 + 11.0916i −0.274816 + 0.917949i
\(147\) 0.888823 1.23929i 0.0733089 0.102215i
\(148\) 0.0392206 0.673392i 0.00322392 0.0553525i
\(149\) −0.0289210 0.0190217i −0.00236930 0.00155831i 0.548324 0.836266i \(-0.315266\pi\)
−0.550693 + 0.834708i \(0.685637\pi\)
\(150\) 6.93404 1.77414i 0.566162 0.144858i
\(151\) −22.1823 + 5.25731i −1.80517 + 0.427834i −0.988745 0.149613i \(-0.952197\pi\)
−0.816429 + 0.577446i \(0.804049\pi\)
\(152\) 0.762123 4.32221i 0.0618163 0.350578i
\(153\) 3.71146 2.63470i 0.300054 0.213003i
\(154\) −2.23605 12.6813i −0.180186 1.02189i
\(155\) 2.32077 + 5.38015i 0.186409 + 0.432144i
\(156\) −0.584043 2.99947i −0.0467609 0.240150i
\(157\) 2.53198 + 8.45740i 0.202074 + 0.674974i 0.997612 + 0.0690700i \(0.0220032\pi\)
−0.795538 + 0.605904i \(0.792812\pi\)
\(158\) −2.12446 2.85364i −0.169013 0.227023i
\(159\) 1.76097 4.29053i 0.139654 0.340261i
\(160\) −0.832408 0.418051i −0.0658076 0.0330498i
\(161\) −20.7113 −1.63228
\(162\) −8.97726 + 0.639391i −0.705320 + 0.0502353i
\(163\) −21.2225 −1.66227 −0.831137 0.556067i \(-0.812310\pi\)
−0.831137 + 0.556067i \(0.812310\pi\)
\(164\) −8.46317 4.25037i −0.660863 0.331898i
\(165\) 4.52420 + 5.85677i 0.352209 + 0.455949i
\(166\) 6.38944 + 8.58251i 0.495917 + 0.666132i
\(167\) −4.59344 15.3431i −0.355451 1.18729i −0.929610 0.368544i \(-0.879856\pi\)
0.574159 0.818744i \(-0.305329\pi\)
\(168\) −3.66856 + 3.19111i −0.283036 + 0.246199i
\(169\) −3.91618 9.07872i −0.301245 0.698363i
\(170\) 0.245406 + 1.39177i 0.0188218 + 0.106744i
\(171\) 13.1237 + 1.06276i 1.00359 + 0.0812710i
\(172\) −0.955334 + 5.41797i −0.0728436 + 0.413116i
\(173\) −10.9871 + 2.60399i −0.835334 + 0.197978i −0.625957 0.779857i \(-0.715292\pi\)
−0.209376 + 0.977835i \(0.567143\pi\)
\(174\) 3.36623 12.0175i 0.255194 0.911042i
\(175\) 9.69197 + 6.37451i 0.732644 + 0.481868i
\(176\) −0.266714 + 4.57930i −0.0201043 + 0.345177i
\(177\) −8.67877 0.858331i −0.652336 0.0645161i
\(178\) 2.88574 9.63905i 0.216295 0.722477i
\(179\) 18.7430 6.82191i 1.40092 0.509893i 0.472469 0.881347i \(-0.343363\pi\)
0.928451 + 0.371454i \(0.121141\pi\)
\(180\) 1.01493 2.60364i 0.0756482 0.194064i
\(181\) 19.9989 + 7.27900i 1.48651 + 0.541044i 0.952527 0.304454i \(-0.0984739\pi\)
0.533979 + 0.845498i \(0.320696\pi\)
\(182\) 2.95755 3.97268i 0.219228 0.294474i
\(183\) −4.42502 + 7.98902i −0.327107 + 0.590565i
\(184\) 7.17900 + 1.70145i 0.529243 + 0.125433i
\(185\) −0.248865 + 0.576933i −0.0182969 + 0.0424170i
\(186\) −10.6444 2.32376i −0.780489 0.170386i
\(187\) 5.81450 3.82426i 0.425198 0.279657i
\(188\) 2.52546 + 4.37423i 0.184188 + 0.319024i
\(189\) −10.5613 10.0614i −0.768225 0.731858i
\(190\) −2.04410 + 3.54048i −0.148294 + 0.256854i
\(191\) −1.03657 17.7972i −0.0750033 1.28776i −0.800417 0.599444i \(-0.795388\pi\)
0.725414 0.688313i \(-0.241649\pi\)
\(192\) 1.53376 0.804732i 0.110689 0.0580766i
\(193\) 22.1969 2.59445i 1.59777 0.186753i 0.729904 0.683550i \(-0.239565\pi\)
0.867866 + 0.496798i \(0.165491\pi\)
\(194\) 11.8751 12.5868i 0.852579 0.903681i
\(195\) −0.444375 + 2.81155i −0.0318224 + 0.201339i
\(196\) −0.874548 0.102220i −0.0624677 0.00730143i
\(197\) −3.12785 + 2.62458i −0.222850 + 0.186994i −0.747377 0.664401i \(-0.768687\pi\)
0.524526 + 0.851394i \(0.324242\pi\)
\(198\) −13.7525 + 0.489130i −0.977346 + 0.0347610i
\(199\) −0.620215 0.520423i −0.0439659 0.0368918i 0.620540 0.784175i \(-0.286913\pi\)
−0.664506 + 0.747283i \(0.731358\pi\)
\(200\) −2.83578 3.00575i −0.200520 0.212538i
\(201\) 1.88133 + 24.7219i 0.132699 + 1.74375i
\(202\) 5.65559 2.84035i 0.397926 0.199846i
\(203\) 18.0755 9.07787i 1.26865 0.637141i
\(204\) −2.36892 1.13744i −0.165857 0.0796370i
\(205\) 6.05381 + 6.41666i 0.422816 + 0.448159i
\(206\) 14.2682 + 11.9724i 0.994111 + 0.834158i
\(207\) −3.06626 + 21.9202i −0.213120 + 1.52356i
\(208\) −1.35151 + 1.13405i −0.0937103 + 0.0786323i
\(209\) 19.9960 + 2.33719i 1.38315 + 0.161667i
\(210\) 4.22778 1.62446i 0.291745 0.112098i
\(211\) −7.80319 + 8.27090i −0.537194 + 0.569392i −0.937940 0.346797i \(-0.887269\pi\)
0.400746 + 0.916189i \(0.368751\pi\)
\(212\) −2.65956 + 0.310858i −0.182659 + 0.0213498i
\(213\) 0.0198421 0.490852i 0.00135956 0.0336326i
\(214\) 0.0617057 + 1.05945i 0.00421811 + 0.0724222i
\(215\) 2.56231 4.43806i 0.174748 0.302673i
\(216\) 2.83424 + 4.35512i 0.192846 + 0.296328i
\(217\) −8.82916 15.2925i −0.599362 1.03813i
\(218\) −10.2306 + 6.72874i −0.692900 + 0.455728i
\(219\) 6.09204 + 19.1060i 0.411662 + 1.29106i
\(220\) 1.69236 3.92334i 0.114099 0.264512i
\(221\) 2.60457 + 0.617295i 0.175202 + 0.0415237i
\(222\) −0.602055 1.00126i −0.0404073 0.0672000i
\(223\) 10.6088 14.2500i 0.710415 0.954252i −0.289581 0.957153i \(-0.593516\pi\)
0.999996 + 0.00290107i \(0.000923440\pi\)
\(224\) 2.63793 + 0.960127i 0.176254 + 0.0641512i
\(225\) 8.18144 9.31393i 0.545430 0.620929i
\(226\) 6.40020 2.32948i 0.425735 0.154955i
\(227\) 0.718661 2.40050i 0.0476992 0.159327i −0.930822 0.365473i \(-0.880907\pi\)
0.978521 + 0.206147i \(0.0660924\pi\)
\(228\) −3.13451 6.92545i −0.207588 0.458649i
\(229\) −0.262629 + 4.50916i −0.0173550 + 0.297974i 0.978451 + 0.206480i \(0.0662010\pi\)
−0.995806 + 0.0914931i \(0.970836\pi\)
\(230\) −5.74181 3.77645i −0.378604 0.249011i
\(231\) −15.5915 15.9483i −1.02584 1.04932i
\(232\) −7.01112 + 1.66167i −0.460303 + 0.109094i
\(233\) 2.12497 12.0513i 0.139212 0.789508i −0.832622 0.553841i \(-0.813161\pi\)
0.971834 0.235667i \(-0.0757275\pi\)
\(234\) −3.76669 3.71832i −0.246236 0.243074i
\(235\) −0.816993 4.63340i −0.0532948 0.302250i
\(236\) 1.99432 + 4.62334i 0.129819 + 0.300954i
\(237\) −5.82689 2.00426i −0.378497 0.130191i
\(238\) −1.22152 4.08015i −0.0791791 0.264477i
\(239\) 15.8275 + 21.2601i 1.02380 + 1.37520i 0.924946 + 0.380098i \(0.124110\pi\)
0.0988519 + 0.995102i \(0.468483\pi\)
\(240\) −1.59889 + 0.215757i −0.103208 + 0.0139270i
\(241\) −4.87872 2.45019i −0.314266 0.157830i 0.284674 0.958625i \(-0.408115\pi\)
−0.598940 + 0.800794i \(0.704411\pi\)
\(242\) −10.0411 −0.645466
\(243\) −12.2122 + 9.68822i −0.783414 + 0.621500i
\(244\) 5.27273 0.337552
\(245\) 0.732936 + 0.368094i 0.0468256 + 0.0235167i
\(246\) −16.2561 + 2.19362i −1.03645 + 0.139860i
\(247\) 4.62391 + 6.21099i 0.294212 + 0.395196i
\(248\) 1.80408 + 6.02605i 0.114559 + 0.382655i
\(249\) 17.5248 + 6.02794i 1.11059 + 0.382005i
\(250\) 3.36931 + 7.81095i 0.213094 + 0.494008i
\(251\) 0.521714 + 2.95878i 0.0329303 + 0.186757i 0.996836 0.0794874i \(-0.0253283\pi\)
−0.963906 + 0.266244i \(0.914217\pi\)
\(252\) −2.12707 + 8.14862i −0.133993 + 0.513315i
\(253\) −5.87673 + 33.3286i −0.369467 + 2.09535i
\(254\) 8.28984 1.96473i 0.520151 0.123278i
\(255\) 1.71116 + 1.75033i 0.107157 + 0.109610i
\(256\) −0.835488 0.549509i −0.0522180 0.0343443i
\(257\) 0.761444 13.0735i 0.0474975 0.815501i −0.887491 0.460824i \(-0.847554\pi\)
0.934989 0.354677i \(-0.115409\pi\)
\(258\) 3.92916 + 8.68118i 0.244619 + 0.540467i
\(259\) 0.543081 1.81402i 0.0337454 0.112717i
\(260\) 1.54429 0.562075i 0.0957727 0.0348584i
\(261\) −6.93168 20.4745i −0.429060 1.26734i
\(262\) 15.0048 + 5.46131i 0.927001 + 0.337401i
\(263\) −1.87795 + 2.52252i −0.115799 + 0.155545i −0.856244 0.516572i \(-0.827208\pi\)
0.740444 + 0.672118i \(0.234615\pi\)
\(264\) 4.09418 + 6.80889i 0.251979 + 0.419058i
\(265\) 2.42698 + 0.575204i 0.149088 + 0.0353345i
\(266\) 4.87994 11.3130i 0.299208 0.693642i
\(267\) −5.29422 16.6038i −0.324001 1.01614i
\(268\) 11.9595 7.86592i 0.730545 0.480487i
\(269\) −10.1021 17.4974i −0.615938 1.06684i −0.990219 0.139520i \(-0.955444\pi\)
0.374282 0.927315i \(-0.377889\pi\)
\(270\) −1.09336 4.71504i −0.0665398 0.286948i
\(271\) −14.8899 + 25.7901i −0.904500 + 1.56664i −0.0829129 + 0.996557i \(0.526422\pi\)
−0.821587 + 0.570083i \(0.806911\pi\)
\(272\) 0.0882164 + 1.51462i 0.00534890 + 0.0918371i
\(273\) 0.346486 8.57133i 0.0209703 0.518760i
\(274\) −10.6907 + 1.24956i −0.645847 + 0.0754887i
\(275\) 13.0079 13.7875i 0.784404 0.831420i
\(276\) 11.9286 4.58338i 0.718018 0.275887i
\(277\) −4.36989 0.510767i −0.262561 0.0306890i −0.0162063 0.999869i \(-0.505159\pi\)
−0.246355 + 0.969180i \(0.579233\pi\)
\(278\) −4.93751 + 4.14306i −0.296132 + 0.248484i
\(279\) −17.4923 + 7.08046i −1.04723 + 0.423896i
\(280\) −2.00313 1.68082i −0.119710 0.100448i
\(281\) 19.4042 + 20.5672i 1.15755 + 1.22694i 0.969583 + 0.244762i \(0.0787098\pi\)
0.187972 + 0.982174i \(0.439809\pi\)
\(282\) 7.88647 + 3.78672i 0.469632 + 0.225496i
\(283\) 6.51124 3.27007i 0.387053 0.194385i −0.244622 0.969618i \(-0.578664\pi\)
0.631675 + 0.775233i \(0.282368\pi\)
\(284\) −0.253456 + 0.127291i −0.0150399 + 0.00755331i
\(285\) 0.537307 + 7.06055i 0.0318273 + 0.418231i
\(286\) −5.55362 5.88650i −0.328393 0.348076i
\(287\) −20.3660 17.0891i −1.20217 1.00874i
\(288\) 1.40671 2.64975i 0.0828909 0.156138i
\(289\) −11.2594 + 9.44779i −0.662320 + 0.555752i
\(290\) 6.66631 + 0.779180i 0.391459 + 0.0457550i
\(291\) 4.67914 29.6047i 0.274296 1.73546i
\(292\) 7.94532 8.42155i 0.464965 0.492834i
\(293\) −0.386477 + 0.0451727i −0.0225782 + 0.00263902i −0.127375 0.991855i \(-0.540655\pi\)
0.104796 + 0.994494i \(0.466581\pi\)
\(294\) −1.35047 + 0.708568i −0.0787612 + 0.0413245i
\(295\) −0.272709 4.68223i −0.0158777 0.272610i
\(296\) −0.337267 + 0.584163i −0.0196032 + 0.0339538i
\(297\) −19.1875 + 14.1404i −1.11337 + 0.820510i
\(298\) 0.0173079 + 0.0299781i 0.00100262 + 0.00173658i
\(299\) −10.8752 + 7.15272i −0.628928 + 0.413652i
\(300\) −6.99272 1.52656i −0.403725 0.0881358i
\(301\) −6.11709 + 14.1810i −0.352583 + 0.817380i
\(302\) 22.1823 + 5.25731i 1.27645 + 0.302524i
\(303\) 5.31127 9.58907i 0.305124 0.550878i
\(304\) −2.62086 + 3.52043i −0.150317 + 0.201910i
\(305\) −4.61529 1.67983i −0.264271 0.0961866i
\(306\) −4.49914 + 0.688756i −0.257199 + 0.0393736i
\(307\) 15.8628 5.77360i 0.905340 0.329517i 0.152949 0.988234i \(-0.451123\pi\)
0.752391 + 0.658717i \(0.228901\pi\)
\(308\) −3.69313 + 12.3359i −0.210436 + 0.702905i
\(309\) 32.1042 + 3.17510i 1.82634 + 0.180625i
\(310\) 0.340691 5.84944i 0.0193499 0.332226i
\(311\) −20.9613 13.7865i −1.18861 0.781760i −0.208074 0.978113i \(-0.566720\pi\)
−0.980533 + 0.196353i \(0.937090\pi\)
\(312\) −0.824242 + 2.94255i −0.0466635 + 0.166589i
\(313\) 9.15572 2.16994i 0.517512 0.122653i 0.0364435 0.999336i \(-0.488397\pi\)
0.481068 + 0.876683i \(0.340249\pi\)
\(314\) 1.53301 8.69416i 0.0865130 0.490640i
\(315\) 4.45790 6.45493i 0.251174 0.363694i
\(316\) 0.617772 + 3.50356i 0.0347524 + 0.197091i
\(317\) −5.32798 12.3516i −0.299249 0.693737i 0.700554 0.713600i \(-0.252936\pi\)
−0.999803 + 0.0198626i \(0.993677\pi\)
\(318\) −3.49925 + 3.04383i −0.196228 + 0.170690i
\(319\) −9.47923 31.6628i −0.530735 1.77278i
\(320\) 0.556246 + 0.747168i 0.0310951 + 0.0417680i
\(321\) 1.12369 + 1.45466i 0.0627180 + 0.0811911i
\(322\) 18.5083 + 9.29523i 1.03143 + 0.518003i
\(323\) 6.65875 0.370503
\(324\) 8.30933 + 3.45761i 0.461629 + 0.192089i
\(325\) 7.29055 0.404407
\(326\) 18.9651 + 9.52464i 1.05038 + 0.527521i
\(327\) −8.05296 + 19.6207i −0.445330 + 1.08503i
\(328\) 5.65541 + 7.59653i 0.312268 + 0.419448i
\(329\) 4.06661 + 13.5834i 0.224199 + 0.748878i
\(330\) −1.41446 7.26426i −0.0778635 0.399884i
\(331\) −5.56619 12.9039i −0.305946 0.709262i 0.693997 0.719978i \(-0.255848\pi\)
−0.999943 + 0.0107163i \(0.996589\pi\)
\(332\) −1.85799 10.5372i −0.101971 0.578303i
\(333\) −1.83949 0.843340i −0.100804 0.0462147i
\(334\) −2.78115 + 15.7727i −0.152178 + 0.863042i
\(335\) −12.9743 + 3.07497i −0.708863 + 0.168004i
\(336\) 4.71051 1.20523i 0.256979 0.0657508i
\(337\) 5.45623 + 3.58862i 0.297220 + 0.195485i 0.689356 0.724423i \(-0.257894\pi\)
−0.392136 + 0.919907i \(0.628264\pi\)
\(338\) −0.574898 + 9.87062i −0.0312703 + 0.536891i
\(339\) 6.87532 9.58630i 0.373416 0.520656i
\(340\) 0.405321 1.35387i 0.0219816 0.0734238i
\(341\) −27.1139 + 9.86866i −1.46830 + 0.534418i
\(342\) −11.2508 6.83962i −0.608374 0.369844i
\(343\) 16.1428 + 5.87549i 0.871629 + 0.317247i
\(344\) 3.28530 4.41292i 0.177131 0.237929i
\(345\) −11.9015 + 0.211581i −0.640753 + 0.0113911i
\(346\) 10.9871 + 2.60399i 0.590670 + 0.139991i
\(347\) 10.6690 24.7336i 0.572744 1.32777i −0.347961 0.937509i \(-0.613126\pi\)
0.920705 0.390260i \(-0.127615\pi\)
\(348\) −8.40160 + 9.22844i −0.450373 + 0.494696i
\(349\) −21.0859 + 13.8684i −1.12870 + 0.742359i −0.969550 0.244895i \(-0.921247\pi\)
−0.159153 + 0.987254i \(0.550876\pi\)
\(350\) −5.80019 10.0462i −0.310033 0.536993i
\(351\) −9.02032 1.63567i −0.481469 0.0873058i
\(352\) 2.29353 3.97251i 0.122245 0.211735i
\(353\) −0.0557860 0.957808i −0.00296919 0.0509790i 0.996498 0.0836154i \(-0.0266467\pi\)
−0.999467 + 0.0326364i \(0.989610\pi\)
\(354\) 7.37042 + 4.66206i 0.391733 + 0.247786i
\(355\) 0.262407 0.0306710i 0.0139271 0.00162785i
\(356\) −6.90479 + 7.31865i −0.365953 + 0.387888i
\(357\) −5.73445 4.64060i −0.303499 0.245607i
\(358\) −19.8111 2.31558i −1.04705 0.122382i
\(359\) −12.5985 + 10.5714i −0.664925 + 0.557939i −0.911559 0.411170i \(-0.865120\pi\)
0.246633 + 0.969109i \(0.420676\pi\)
\(360\) −2.07548 + 1.87120i −0.109388 + 0.0986209i
\(361\) 0.200968 + 0.168633i 0.0105773 + 0.00887540i
\(362\) −14.6049 15.4802i −0.767614 0.813623i
\(363\) −14.3584 + 9.81365i −0.753619 + 0.515083i
\(364\) −4.42590 + 2.22277i −0.231980 + 0.116505i
\(365\) −9.63764 + 4.84020i −0.504457 + 0.253348i
\(366\) 7.53980 5.15330i 0.394112 0.269367i
\(367\) −1.16969 1.23980i −0.0610575 0.0647172i 0.696125 0.717921i \(-0.254906\pi\)
−0.757182 + 0.653204i \(0.773425\pi\)
\(368\) −5.65178 4.74241i −0.294619 0.247215i
\(369\) −21.1017 + 19.0247i −1.09851 + 0.990385i
\(370\) 0.481321 0.403876i 0.0250227 0.0209965i
\(371\) −7.46597 0.872647i −0.387614 0.0453056i
\(372\) 8.46933 + 6.85380i 0.439114 + 0.355353i
\(373\) −9.80490 + 10.3926i −0.507678 + 0.538108i −0.929622 0.368514i \(-0.879866\pi\)
0.421944 + 0.906622i \(0.361348\pi\)
\(374\) −6.91235 + 0.807938i −0.357429 + 0.0417775i
\(375\) 12.4520 + 7.87635i 0.643019 + 0.406733i
\(376\) −0.293685 5.04238i −0.0151457 0.260041i
\(377\) 6.35609 11.0091i 0.327355 0.566996i
\(378\) 4.92243 + 13.7311i 0.253182 + 0.706252i
\(379\) −12.0604 20.8893i −0.619504 1.07301i −0.989576 0.144009i \(-0.954001\pi\)
0.370073 0.929003i \(-0.379333\pi\)
\(380\) 3.41564 2.24650i 0.175219 0.115243i
\(381\) 9.93392 10.9116i 0.508930 0.559016i
\(382\) −7.06104 + 16.3693i −0.361274 + 0.837528i
\(383\) 5.64393 + 1.33764i 0.288391 + 0.0683500i 0.372265 0.928126i \(-0.378581\pi\)
−0.0838739 + 0.996476i \(0.526729\pi\)
\(384\) −1.73178 + 0.0307871i −0.0883744 + 0.00157110i
\(385\) 7.16272 9.62120i 0.365046 0.490342i
\(386\) −21.0003 7.64348i −1.06889 0.389043i
\(387\) 14.1031 + 8.57359i 0.716900 + 0.435820i
\(388\) −16.2609 + 5.91848i −0.825522 + 0.300465i
\(389\) −5.89390 + 19.6870i −0.298833 + 0.998170i 0.668299 + 0.743893i \(0.267023\pi\)
−0.967131 + 0.254277i \(0.918162\pi\)
\(390\) 1.65893 2.31305i 0.0840031 0.117126i
\(391\) −0.650849 + 11.1747i −0.0329149 + 0.565126i
\(392\) 0.735648 + 0.483843i 0.0371558 + 0.0244378i
\(393\) 26.7939 6.85550i 1.35157 0.345814i
\(394\) 3.97306 0.941633i 0.200160 0.0474388i
\(395\) 0.575447 3.26352i 0.0289539 0.164206i
\(396\) 12.5092 + 5.73500i 0.628610 + 0.288194i
\(397\) −2.54727 14.4463i −0.127844 0.725039i −0.979578 0.201065i \(-0.935560\pi\)
0.851734 0.523974i \(-0.175551\pi\)
\(398\) 0.320680 + 0.743419i 0.0160742 + 0.0372642i
\(399\) −4.07860 20.9465i −0.204185 1.04864i
\(400\) 1.18517 + 3.95873i 0.0592583 + 0.197936i
\(401\) 15.9451 + 21.4180i 0.796262 + 1.06957i 0.995968 + 0.0897093i \(0.0285938\pi\)
−0.199706 + 0.979856i \(0.563999\pi\)
\(402\) 9.41393 22.9366i 0.469524 1.14397i
\(403\) −9.91737 4.98069i −0.494019 0.248106i
\(404\) −6.32877 −0.314868
\(405\) −6.17171 5.67373i −0.306675 0.281930i
\(406\) −20.2270 −1.00385
\(407\) −2.76501 1.38864i −0.137056 0.0688323i
\(408\) 1.60646 + 2.07962i 0.0795314 + 0.102957i
\(409\) −5.81400 7.80956i −0.287484 0.386158i 0.634796 0.772679i \(-0.281084\pi\)
−0.922280 + 0.386521i \(0.873677\pi\)
\(410\) −2.53009 8.45108i −0.124952 0.417369i
\(411\) −14.0660 + 12.2353i −0.693824 + 0.603525i
\(412\) −7.37729 17.1025i −0.363453 0.842579i
\(413\) 2.45447 + 13.9200i 0.120777 + 0.684959i
\(414\) 12.5779 18.2125i 0.618169 0.895094i
\(415\) −1.73070 + 9.81527i −0.0849565 + 0.481812i
\(416\) 1.71671 0.406869i 0.0841688 0.0199484i
\(417\) −3.01123 + 10.7501i −0.147460 + 0.526434i
\(418\) −16.8201 11.0628i −0.822698 0.541097i
\(419\) 0.515542 8.85151i 0.0251859 0.432425i −0.962021 0.272977i \(-0.911992\pi\)
0.987206 0.159448i \(-0.0509713\pi\)
\(420\) −4.50714 0.445756i −0.219926 0.0217507i
\(421\) 3.31057 11.0581i 0.161347 0.538938i −0.838636 0.544692i \(-0.816646\pi\)
0.999983 + 0.00575434i \(0.00183167\pi\)
\(422\) 10.6852 3.88908i 0.520145 0.189317i
\(423\) 14.9783 2.29297i 0.728269 0.111488i
\(424\) 2.51618 + 0.915814i 0.122196 + 0.0444759i
\(425\) 3.74389 5.02891i 0.181605 0.243938i
\(426\) −0.238025 + 0.429736i −0.0115324 + 0.0208208i
\(427\) 14.4028 + 3.41352i 0.696998 + 0.165192i
\(428\) 0.420336 0.974449i 0.0203177 0.0471018i
\(429\) −13.6946 2.98963i −0.661183 0.144341i
\(430\) −4.28156 + 2.81603i −0.206475 + 0.135801i
\(431\) 13.5607 + 23.4878i 0.653196 + 1.13137i 0.982343 + 0.187090i \(0.0599056\pi\)
−0.329147 + 0.944279i \(0.606761\pi\)
\(432\) −0.578198 5.16388i −0.0278186 0.248447i
\(433\) 0.933229 1.61640i 0.0448481 0.0776792i −0.842730 0.538337i \(-0.819053\pi\)
0.887578 + 0.460657i \(0.152386\pi\)
\(434\) 1.02674 + 17.6284i 0.0492851 + 0.846192i
\(435\) 10.2941 5.40112i 0.493564 0.258964i
\(436\) 12.1622 1.42156i 0.582464 0.0680803i
\(437\) −22.2210 + 23.5528i −1.06297 + 1.12669i
\(438\) 3.13070 19.8078i 0.149591 0.946455i
\(439\) 5.43863 + 0.635684i 0.259571 + 0.0303396i 0.244883 0.969553i \(-0.421250\pi\)
0.0146882 + 0.999892i \(0.495324\pi\)
\(440\) −3.27315 + 2.74650i −0.156041 + 0.130934i
\(441\) −1.23861 + 2.33311i −0.0589812 + 0.111100i
\(442\) −2.05049 1.72056i −0.0975318 0.0818389i
\(443\) 7.84510 + 8.31532i 0.372732 + 0.395073i 0.886403 0.462914i \(-0.153196\pi\)
−0.513671 + 0.857987i \(0.671715\pi\)
\(444\) 0.0886532 + 1.16496i 0.00420729 + 0.0552865i
\(445\) 8.37548 4.20632i 0.397036 0.199399i
\(446\) −15.8757 + 7.97309i −0.751737 + 0.377537i
\(447\) 0.0540486 + 0.0259517i 0.00255641 + 0.00122747i
\(448\) −1.92643 2.04190i −0.0910154 0.0964707i
\(449\) −0.447406 0.375418i −0.0211144 0.0177171i 0.632169 0.774830i \(-0.282165\pi\)
−0.653284 + 0.757113i \(0.726609\pi\)
\(450\) −11.4913 + 4.65141i −0.541705 + 0.219270i
\(451\) −33.2784 + 27.9239i −1.56702 + 1.31488i
\(452\) −6.76489 0.790703i −0.318194 0.0371915i
\(453\) 36.8581 14.1621i 1.73175 0.665396i
\(454\) −1.71956 + 1.82263i −0.0807029 + 0.0855401i
\(455\) 4.58219 0.535581i 0.214816 0.0251084i
\(456\) −0.307042 + 7.59558i −0.0143786 + 0.355695i
\(457\) −0.759073 13.0328i −0.0355079 0.609648i −0.968386 0.249456i \(-0.919748\pi\)
0.932878 0.360192i \(-0.117289\pi\)
\(458\) 2.25840 3.91166i 0.105528 0.182780i
\(459\) −5.76043 + 5.38212i −0.268874 + 0.251216i
\(460\) 3.43620 + 5.95167i 0.160214 + 0.277498i
\(461\) 9.75285 6.41455i 0.454236 0.298756i −0.301698 0.953403i \(-0.597553\pi\)
0.755934 + 0.654648i \(0.227183\pi\)
\(462\) 6.77547 + 21.2494i 0.315224 + 0.988611i
\(463\) 3.89577 9.03140i 0.181052 0.419725i −0.803386 0.595458i \(-0.796970\pi\)
0.984438 + 0.175734i \(0.0562297\pi\)
\(464\) 7.01112 + 1.66167i 0.325483 + 0.0771409i
\(465\) −5.22977 8.69744i −0.242525 0.403334i
\(466\) −7.30757 + 9.81577i −0.338517 + 0.454707i
\(467\) 16.7575 + 6.09922i 0.775444 + 0.282238i 0.699271 0.714856i \(-0.253508\pi\)
0.0761723 + 0.997095i \(0.475730\pi\)
\(468\) 1.69726 + 5.01330i 0.0784559 + 0.231740i
\(469\) 37.7605 13.7437i 1.74362 0.634624i
\(470\) −1.34937 + 4.50722i −0.0622420 + 0.207903i
\(471\) −6.30508 13.9306i −0.290523 0.641888i
\(472\) 0.292767 5.02662i 0.0134757 0.231369i
\(473\) 21.0843 + 13.8674i 0.969458 + 0.637622i
\(474\) 4.30759 + 4.40618i 0.197854 + 0.202382i
\(475\) 17.6475 4.18253i 0.809722 0.191908i
\(476\) −0.739580 + 4.19437i −0.0338986 + 0.192249i
\(477\) −2.02890 + 7.77254i −0.0928969 + 0.355880i
\(478\) −4.60250 26.1021i −0.210513 1.19388i
\(479\) 14.2659 + 33.0722i 0.651827 + 1.51111i 0.847700 + 0.530476i \(0.177987\pi\)
−0.195873 + 0.980629i \(0.562754\pi\)
\(480\) 1.52565 + 0.524774i 0.0696363 + 0.0239526i
\(481\) −0.341313 1.14006i −0.0155625 0.0519825i
\(482\) 3.26014 + 4.37913i 0.148496 + 0.199464i
\(483\) 35.5509 4.79728i 1.61762 0.218284i
\(484\) 8.97305 + 4.50643i 0.407866 + 0.204838i
\(485\) 16.1189 0.731922
\(486\) 15.2613 3.17688i 0.692267 0.144106i
\(487\) 28.2800 1.28149 0.640744 0.767754i \(-0.278626\pi\)
0.640744 + 0.767754i \(0.278626\pi\)
\(488\) −4.71189 2.36640i −0.213297 0.107122i
\(489\) 36.4283 4.91568i 1.64734 0.222295i
\(490\) −0.489775 0.657882i −0.0221258 0.0297201i
\(491\) −1.26149 4.21368i −0.0569303 0.190161i 0.924794 0.380467i \(-0.124237\pi\)
−0.981725 + 0.190307i \(0.939052\pi\)
\(492\) 15.5115 + 5.33543i 0.699311 + 0.240540i
\(493\) −4.32988 10.0378i −0.195008 0.452079i
\(494\) −1.34459 7.62555i −0.0604960 0.343090i
\(495\) −9.12234 9.00518i −0.410019 0.404753i
\(496\) 1.09230 6.19475i 0.0490458 0.278152i
\(497\) −0.774737 + 0.183616i −0.0347517 + 0.00823630i
\(498\) −12.9554 13.2519i −0.580544 0.593830i
\(499\) −13.2375 8.70642i −0.592590 0.389753i 0.217498 0.976061i \(-0.430210\pi\)
−0.810088 + 0.586308i \(0.800581\pi\)
\(500\) 0.494618 8.49226i 0.0221200 0.379786i
\(501\) 11.4385 + 25.2724i 0.511033 + 1.12909i
\(502\) 0.861680 2.87821i 0.0384587 0.128461i
\(503\) −12.5996 + 4.58586i −0.561786 + 0.204473i −0.607275 0.794491i \(-0.707738\pi\)
0.0454892 + 0.998965i \(0.485515\pi\)
\(504\) 5.55791 6.32725i 0.247569 0.281838i
\(505\) 5.53965 + 2.01627i 0.246511 + 0.0897227i
\(506\) 20.2095 27.1460i 0.898421 1.20679i
\(507\) 8.82496 + 14.6765i 0.391930 + 0.651805i
\(508\) −8.28984 1.96473i −0.367802 0.0871707i
\(509\) −5.98696 + 13.8793i −0.265367 + 0.615191i −0.997846 0.0655993i \(-0.979104\pi\)
0.732479 + 0.680790i \(0.238363\pi\)
\(510\) −0.743608 2.33212i −0.0329275 0.103268i
\(511\) 27.1551 17.8602i 1.20127 0.790088i
\(512\) 0.500000 + 0.866025i 0.0220971 + 0.0382733i
\(513\) −22.7729 + 1.21558i −1.00545 + 0.0536690i
\(514\) −6.54782 + 11.3412i −0.288812 + 0.500237i
\(515\) 1.00879 + 17.3203i 0.0444528 + 0.763225i
\(516\) 0.384883 9.52119i 0.0169435 0.419147i
\(517\) 23.0122 2.68974i 1.01208 0.118295i
\(518\) −1.29944 + 1.37733i −0.0570943 + 0.0605164i
\(519\) 18.2561 7.01463i 0.801355 0.307908i
\(520\) −1.63228 0.190787i −0.0715804 0.00836655i
\(521\) 1.94311 1.63047i 0.0851294 0.0714321i −0.599230 0.800577i \(-0.704526\pi\)
0.684359 + 0.729145i \(0.260082\pi\)
\(522\) −2.99456 + 21.4076i −0.131068 + 0.936985i
\(523\) −14.0884 11.8216i −0.616042 0.516921i 0.280514 0.959850i \(-0.409495\pi\)
−0.896557 + 0.442929i \(0.853939\pi\)
\(524\) −10.9578 11.6146i −0.478692 0.507384i
\(525\) −18.1127 8.69689i −0.790503 0.379563i
\(526\) 2.81030 1.41139i 0.122535 0.0615394i
\(527\) −8.52844 + 4.28314i −0.371505 + 0.186577i
\(528\) −0.602872 7.92211i −0.0262366 0.344766i
\(529\) −21.5707 22.8636i −0.937854 0.994068i
\(530\) −1.91068 1.60325i −0.0829945 0.0696406i
\(531\) 15.0959 0.536910i 0.655105 0.0232999i
\(532\) −9.43812 + 7.91952i −0.409194 + 0.343355i
\(533\) −16.5956 1.93975i −0.718835 0.0840198i
\(534\) −2.72070 + 17.2138i −0.117736 + 0.744913i
\(535\) −0.678373 + 0.719033i −0.0293286 + 0.0310865i
\(536\) −14.2177 + 1.66181i −0.614109 + 0.0717791i
\(537\) −30.5922 + 16.0511i −1.32015 + 0.692658i
\(538\) 1.17477 + 20.1701i 0.0506481 + 0.869594i
\(539\) −2.01945 + 3.49780i −0.0869841 + 0.150661i
\(540\) −1.13905 + 4.70422i −0.0490167 + 0.202437i
\(541\) −7.56562 13.1040i −0.325271 0.563386i 0.656296 0.754504i \(-0.272122\pi\)
−0.981567 + 0.191117i \(0.938789\pi\)
\(542\) 24.8807 16.3643i 1.06872 0.702908i
\(543\) −36.0140 7.86210i −1.54551 0.337395i
\(544\) 0.600926 1.39310i 0.0257645 0.0597288i
\(545\) −11.0986 2.63042i −0.475413 0.112675i
\(546\) −4.15644 + 7.50412i −0.177879 + 0.321147i
\(547\) −10.5461 + 14.1659i −0.450920 + 0.605690i −0.968216 0.250116i \(-0.919531\pi\)
0.517296 + 0.855806i \(0.326939\pi\)
\(548\) 10.1143 + 3.68132i 0.432063 + 0.157258i
\(549\) 5.74505 14.7380i 0.245193 0.629004i
\(550\) −17.8121 + 6.48307i −0.759510 + 0.276439i
\(551\) 9.06971 30.2949i 0.386383 1.29061i
\(552\) −12.7168 1.25769i −0.541263 0.0535310i
\(553\) −0.580693 + 9.97011i −0.0246936 + 0.423972i
\(554\) 3.67584 + 2.41764i 0.156172 + 0.102716i
\(555\) 0.293542 1.04795i 0.0124602 0.0444828i
\(556\) 6.27172 1.48643i 0.265980 0.0630385i
\(557\) 2.15648 12.2300i 0.0913731 0.518203i −0.904425 0.426632i \(-0.859700\pi\)
0.995799 0.0915710i \(-0.0291888\pi\)
\(558\) 18.8094 + 1.52318i 0.796264 + 0.0644814i
\(559\) 1.68547 + 9.55877i 0.0712877 + 0.404293i
\(560\) 1.03571 + 2.40104i 0.0437666 + 0.101462i
\(561\) −9.09475 + 7.91110i −0.383981 + 0.334007i
\(562\) −8.10964 27.0881i −0.342085 1.14264i
\(563\) −15.6180 20.9785i −0.658218 0.884140i 0.340201 0.940353i \(-0.389505\pi\)
−0.998419 + 0.0562125i \(0.982098\pi\)
\(564\) −5.34813 6.92338i −0.225197 0.291527i
\(565\) 5.66949 + 2.84732i 0.238517 + 0.119788i
\(566\) −7.28626 −0.306264
\(567\) 20.4590 + 14.8240i 0.859196 + 0.622550i
\(568\) 0.283625 0.0119006
\(569\) 13.1704 + 6.61443i 0.552133 + 0.277291i 0.702913 0.711276i \(-0.251882\pi\)
−0.150780 + 0.988567i \(0.548179\pi\)
\(570\) 2.68861 6.55068i 0.112614 0.274378i
\(571\) 3.97285 + 5.33646i 0.166259 + 0.223324i 0.877442 0.479682i \(-0.159248\pi\)
−0.711184 + 0.703006i \(0.751841\pi\)
\(572\) 2.32104 + 7.75283i 0.0970477 + 0.324162i
\(573\) 5.90154 + 30.3086i 0.246540 + 1.26616i
\(574\) 10.5301 + 24.4116i 0.439519 + 1.01892i
\(575\) 5.29415 + 30.0246i 0.220781 + 1.25211i
\(576\) −2.44628 + 1.73658i −0.101929 + 0.0723573i
\(577\) 5.41335 30.7007i 0.225361 1.27809i −0.636633 0.771167i \(-0.719673\pi\)
0.861994 0.506918i \(-0.169215\pi\)
\(578\) 14.3020 3.38963i 0.594883 0.140990i
\(579\) −37.4999 + 9.59474i −1.55844 + 0.398744i
\(580\) −5.60754 3.68813i −0.232840 0.153141i
\(581\) 1.74647 29.9858i 0.0724558 1.24402i
\(582\) −17.4680 + 24.3558i −0.724073 + 1.00958i
\(583\) −3.52269 + 11.7666i −0.145895 + 0.487322i
\(584\) −10.8798 + 3.95992i −0.450209 + 0.163863i
\(585\) 0.111541 4.92893i 0.00461164 0.203786i
\(586\) 0.365642 + 0.133083i 0.0151045 + 0.00549760i
\(587\) −25.5016 + 34.2546i −1.05256 + 1.41384i −0.147248 + 0.989100i \(0.547042\pi\)
−0.905316 + 0.424739i \(0.860366\pi\)
\(588\) 1.52483 0.0271080i 0.0628830 0.00111792i
\(589\) −26.8633 6.36672i −1.10688 0.262336i
\(590\) −1.85768 + 4.30659i −0.0764795 + 0.177299i
\(591\) 4.76102 5.22957i 0.195842 0.215116i
\(592\) 0.563564 0.370662i 0.0231624 0.0152341i
\(593\) 6.95785 + 12.0513i 0.285725 + 0.494890i 0.972785 0.231711i \(-0.0744324\pi\)
−0.687060 + 0.726601i \(0.741099\pi\)
\(594\) 23.4927 4.02502i 0.963919 0.165149i
\(595\) 1.98364 3.43576i 0.0813212 0.140852i
\(596\) −0.00201273 0.0345572i −8.24445e−5 0.00141552i
\(597\) 1.18514 + 0.749644i 0.0485045 + 0.0306809i
\(598\) 12.9286 1.51113i 0.528688 0.0617947i
\(599\) −4.87779 + 5.17016i −0.199301 + 0.211247i −0.819314 0.573344i \(-0.805646\pi\)
0.620013 + 0.784591i \(0.287127\pi\)
\(600\) 5.56380 + 4.50251i 0.227141 + 0.183814i
\(601\) −22.4454 2.62349i −0.915567 0.107014i −0.354757 0.934959i \(-0.615436\pi\)
−0.560811 + 0.827944i \(0.689510\pi\)
\(602\) 11.8309 9.92726i 0.482190 0.404605i
\(603\) −8.95552 41.9992i −0.364697 1.71034i
\(604\) −17.4634 14.6535i −0.710575 0.596243i
\(605\) −6.41852 6.80324i −0.260950 0.276591i
\(606\) −9.04989 + 6.18542i −0.367627 + 0.251265i
\(607\) −28.7677 + 14.4477i −1.16765 + 0.586414i −0.923603 0.383350i \(-0.874770\pi\)
−0.244043 + 0.969764i \(0.578474\pi\)
\(608\) 3.92205 1.96973i 0.159060 0.0798831i
\(609\) −28.9238 + 19.7689i −1.17205 + 0.801074i
\(610\) 3.37047 + 3.57249i 0.136466 + 0.144646i
\(611\) 6.82638 + 5.72801i 0.276166 + 0.231730i
\(612\) 4.32969 + 1.40371i 0.175017 + 0.0567418i
\(613\) −17.0259 + 14.2864i −0.687670 + 0.577024i −0.918236 0.396033i \(-0.870387\pi\)
0.230566 + 0.973057i \(0.425942\pi\)
\(614\) −16.7667 1.95975i −0.676650 0.0790891i
\(615\) −11.8776 9.61194i −0.478950 0.387591i
\(616\) 8.83666 9.36631i 0.356039 0.377379i
\(617\) 33.2913 3.89120i 1.34026 0.156654i 0.584441 0.811437i \(-0.301314\pi\)
0.755817 + 0.654783i \(0.227240\pi\)
\(618\) −27.2643 17.2457i −1.09673 0.693724i
\(619\) 0.202006 + 3.46831i 0.00811931 + 0.139403i 0.999932 + 0.0116986i \(0.00372387\pi\)
−0.991812 + 0.127704i \(0.959239\pi\)
\(620\) −2.92968 + 5.07435i −0.117659 + 0.203791i
\(621\) 0.185935 38.3361i 0.00746133 1.53838i
\(622\) 12.5444 + 21.7275i 0.502983 + 0.871192i
\(623\) −23.5988 + 15.5212i −0.945467 + 0.621843i
\(624\) 2.05718 2.25964i 0.0823532 0.0904578i
\(625\) 5.04519 11.6961i 0.201807 0.467842i
\(626\) −9.15572 2.16994i −0.365936 0.0867284i
\(627\) −34.8643 + 0.619807i −1.39235 + 0.0247527i
\(628\) −5.27188 + 7.08137i −0.210371 + 0.282577i
\(629\) −0.961673 0.350020i −0.0383444 0.0139562i
\(630\) −6.88069 + 3.76764i −0.274133 + 0.150106i
\(631\) 38.5574 14.0337i 1.53494 0.558674i 0.570118 0.821563i \(-0.306897\pi\)
0.964826 + 0.262888i \(0.0846751\pi\)
\(632\) 1.02033 3.40815i 0.0405867 0.135569i
\(633\) 11.4784 16.0044i 0.456224 0.636116i
\(634\) −0.782151 + 13.4290i −0.0310632 + 0.533334i
\(635\) 6.63026 + 4.36079i 0.263114 + 0.173053i
\(636\) 4.49311 1.14961i 0.178163 0.0455849i
\(637\) −1.51157 + 0.358249i −0.0598906 + 0.0141943i
\(638\) −5.73930 + 32.5492i −0.227221 + 1.28864i
\(639\) 0.0796352 + 0.847140i 0.00315032 + 0.0335123i
\(640\) −0.161751 0.917337i −0.00639378 0.0362609i
\(641\) −9.47251 21.9598i −0.374142 0.867358i −0.996418 0.0845606i \(-0.973051\pi\)
0.622277 0.782797i \(-0.286208\pi\)
\(642\) −0.351313 1.80424i −0.0138652 0.0712076i
\(643\) 5.06218 + 16.9089i 0.199633 + 0.666821i 0.997915 + 0.0645373i \(0.0205572\pi\)
−0.798282 + 0.602284i \(0.794258\pi\)
\(644\) −12.3680 16.6130i −0.487366 0.654646i
\(645\) −3.37023 + 8.21140i −0.132703 + 0.323323i
\(646\) −5.95048 2.98844i −0.234118 0.117579i
\(647\) 28.7326 1.12959 0.564797 0.825230i \(-0.308954\pi\)
0.564797 + 0.825230i \(0.308954\pi\)
\(648\) −5.87372 6.81905i −0.230741 0.267878i
\(649\) 23.0965 0.906615
\(650\) −6.51507 3.27199i −0.255542 0.128338i
\(651\) 18.6973 + 24.2045i 0.732806 + 0.948649i
\(652\) −12.6732 17.0231i −0.496321 0.666675i
\(653\) −5.44267 18.1798i −0.212988 0.711430i −0.995994 0.0894161i \(-0.971500\pi\)
0.783006 0.622014i \(-0.213685\pi\)
\(654\) 16.0021 13.9195i 0.625733 0.544296i
\(655\) 5.89122 + 13.6574i 0.230189 + 0.533638i
\(656\) −1.64454 9.32665i −0.0642085 0.364145i
\(657\) −14.8824 31.3842i −0.580618 1.22442i
\(658\) 2.46217 13.9637i 0.0959854 0.544360i
\(659\) −28.0969 + 6.65909i −1.09450 + 0.259401i −0.737937 0.674870i \(-0.764200\pi\)
−0.356564 + 0.934271i \(0.616052\pi\)
\(660\) −1.99619 + 7.12639i −0.0777014 + 0.277394i
\(661\) 28.6512 + 18.8442i 1.11440 + 0.732955i 0.966658 0.256070i \(-0.0824278\pi\)
0.147746 + 0.989025i \(0.452798\pi\)
\(662\) −0.817122 + 14.0294i −0.0317583 + 0.545270i
\(663\) −4.61371 0.456296i −0.179182 0.0177211i
\(664\) −3.06872 + 10.2502i −0.119089 + 0.397787i
\(665\) 10.7844 3.92519i 0.418200 0.152212i
\(666\) 1.26534 + 1.57920i 0.0490310 + 0.0611927i
\(667\) 49.9542 + 18.1818i 1.93423 + 0.704003i
\(668\) 9.56408 12.8468i 0.370045 0.497057i
\(669\) −14.9092 + 26.9173i −0.576422 + 1.04068i
\(670\) 12.9743 + 3.07497i 0.501242 + 0.118796i
\(671\) 9.57971 22.2083i 0.369821 0.857341i
\(672\) −4.75037 1.03704i −0.183250 0.0400047i
\(673\) −36.5808 + 24.0596i −1.41009 + 0.927429i −0.410207 + 0.911992i \(0.634544\pi\)
−0.999881 + 0.0154368i \(0.995086\pi\)
\(674\) −3.26530 5.65566i −0.125775 0.217848i
\(675\) −11.8860 + 17.8823i −0.457494 + 0.688292i
\(676\) 4.94367 8.56270i 0.190141 0.329334i
\(677\) −2.24011 38.4612i −0.0860945 1.47819i −0.714137 0.700006i \(-0.753181\pi\)
0.628042 0.778179i \(-0.283857\pi\)
\(678\) −10.4463 + 5.48099i −0.401189 + 0.210496i
\(679\) −48.2491 + 5.63951i −1.85163 + 0.216424i
\(680\) −0.969823 + 1.02795i −0.0371910 + 0.0394202i
\(681\) −0.677560 + 4.28690i −0.0259642 + 0.164274i
\(682\) 28.6589 + 3.34975i 1.09741 + 0.128268i
\(683\) 4.17850 3.50618i 0.159886 0.134160i −0.559335 0.828942i \(-0.688943\pi\)
0.719221 + 0.694782i \(0.244499\pi\)
\(684\) 6.98447 + 11.1615i 0.267058 + 0.426769i
\(685\) −7.68038 6.44460i −0.293452 0.246236i
\(686\) −11.7888 12.4954i −0.450099 0.477077i
\(687\) −0.593638 7.80077i −0.0226487 0.297618i
\(688\) −4.91637 + 2.46909i −0.187435 + 0.0941332i
\(689\) −4.22163 + 2.12018i −0.160831 + 0.0807725i
\(690\) 10.7305 + 5.15229i 0.408503 + 0.196144i
\(691\) 17.2210 + 18.2532i 0.655117 + 0.694384i 0.966722 0.255828i \(-0.0823481\pi\)
−0.311605 + 0.950212i \(0.600867\pi\)
\(692\) −8.64976 7.25801i −0.328815 0.275908i
\(693\) 30.4567 + 23.7638i 1.15696 + 0.902711i
\(694\) −20.6346 + 17.3145i −0.783279 + 0.657250i
\(695\) −5.96327 0.697007i −0.226200 0.0264390i
\(696\) 11.6497 4.47620i 0.441579 0.169670i
\(697\) −9.86028 + 10.4513i −0.373485 + 0.395871i
\(698\) 25.0672 2.92993i 0.948807 0.110900i
\(699\) −0.856104 + 21.1782i −0.0323808 + 0.801033i
\(700\) 0.674502 + 11.5807i 0.0254938 + 0.437711i
\(701\) −3.42730 + 5.93625i −0.129447 + 0.224209i −0.923463 0.383689i \(-0.874654\pi\)
0.794015 + 0.607898i \(0.207987\pi\)
\(702\) 7.32676 + 5.51000i 0.276531 + 0.207962i
\(703\) −1.48023 2.56383i −0.0558278 0.0966966i
\(704\) −3.83243 + 2.52063i −0.144440 + 0.0949998i
\(705\) 2.47558 + 7.76396i 0.0932357 + 0.292408i
\(706\) −0.380011 + 0.880965i −0.0143019 + 0.0331556i
\(707\) −17.2874 4.09718i −0.650158 0.154090i
\(708\) −4.49412 7.47400i −0.168899 0.280890i
\(709\) −17.0943 + 22.9617i −0.641991 + 0.862344i −0.997377 0.0723754i \(-0.976942\pi\)
0.355386 + 0.934720i \(0.384349\pi\)
\(710\) −0.248260 0.0903594i −0.00931705 0.00339113i
\(711\) 10.4661 + 2.09064i 0.392508 + 0.0784050i
\(712\) 9.45495 3.44132i 0.354339 0.128969i
\(713\) 13.3103 44.4595i 0.498474 1.66502i
\(714\) 3.04179 + 6.72061i 0.113836 + 0.251513i
\(715\) 0.438316 7.52560i 0.0163921 0.281442i
\(716\) 16.6646 + 10.9605i 0.622785 + 0.409612i
\(717\) −32.0922 32.8267i −1.19851 1.22594i
\(718\) 16.0029 3.79276i 0.597223 0.141545i
\(719\) −1.27419 + 7.22626i −0.0475191 + 0.269494i −0.999305 0.0372680i \(-0.988134\pi\)
0.951786 + 0.306762i \(0.0992456\pi\)
\(720\) 2.69451 0.740690i 0.100419 0.0276039i
\(721\) −9.07949 51.4924i −0.338138 1.91768i
\(722\) −0.103910 0.240890i −0.00386712 0.00896500i
\(723\) 8.94182 + 3.07569i 0.332550 + 0.114386i
\(724\) 6.10386 + 20.3883i 0.226848 + 0.757725i
\(725\) −17.7803 23.8831i −0.660344 0.886996i
\(726\) 17.2355 2.32578i 0.639668 0.0863177i
\(727\) 13.3751 + 6.71724i 0.496056 + 0.249129i 0.679194 0.733958i \(-0.262329\pi\)
−0.183138 + 0.983087i \(0.558626\pi\)
\(728\) 4.95270 0.183559
\(729\) 18.7182 19.4584i 0.693265 0.720683i
\(730\) 10.7848 0.399163
\(731\) 7.45903 + 3.74607i 0.275882 + 0.138553i
\(732\) −9.05061 + 1.22130i −0.334520 + 0.0451406i
\(733\) 0.198111 + 0.266109i 0.00731738 + 0.00982895i 0.805767 0.592233i \(-0.201753\pi\)
−0.798449 + 0.602062i \(0.794346\pi\)
\(734\) 0.488854 + 1.63289i 0.0180439 + 0.0602709i
\(735\) −1.34334 0.462065i −0.0495499 0.0170435i
\(736\) 2.92223 + 6.77448i 0.107715 + 0.249711i
\(737\) −11.4019 64.6636i −0.419996 2.38192i
\(738\) 27.3954 7.53067i 1.00844 0.277208i
\(739\) 0.921946 5.22861i 0.0339143 0.192338i −0.963144 0.268987i \(-0.913311\pi\)
0.997058 + 0.0766494i \(0.0244222\pi\)
\(740\) −0.611383 + 0.144901i −0.0224749 + 0.00532665i
\(741\) −9.37554 9.59011i −0.344419 0.352301i
\(742\) 6.28019 + 4.13055i 0.230553 + 0.151637i
\(743\) −1.43288 + 24.6016i −0.0525673 + 0.902547i 0.864206 + 0.503138i \(0.167821\pi\)
−0.916773 + 0.399408i \(0.869216\pi\)
\(744\) −4.49249 9.92581i −0.164703 0.363898i
\(745\) −0.00924772 + 0.0308895i −0.000338810 + 0.00113171i
\(746\) 13.4262 4.88672i 0.491567 0.178916i
\(747\) −31.4774 6.28773i −1.15170 0.230056i
\(748\) 6.53970 + 2.38026i 0.239115 + 0.0870308i
\(749\) 1.77902 2.38964i 0.0650040 0.0873155i
\(750\) −7.59262 12.6270i −0.277243 0.461074i
\(751\) 38.8862 + 9.21620i 1.41898 + 0.336304i 0.867314 0.497762i \(-0.165845\pi\)
0.551665 + 0.834066i \(0.313993\pi\)
\(752\) −2.00057 + 4.63784i −0.0729533 + 0.169125i
\(753\) −1.58085 4.95789i −0.0576093 0.180676i
\(754\) −10.6209 + 6.98546i −0.386789 + 0.254395i
\(755\) 10.6175 + 18.3900i 0.386410 + 0.669282i
\(756\) 1.76367 14.4797i 0.0641440 0.526623i
\(757\) −1.35834 + 2.35271i −0.0493695 + 0.0855105i −0.889654 0.456635i \(-0.849055\pi\)
0.840285 + 0.542146i \(0.182388\pi\)
\(758\) 1.40251 + 24.0801i 0.0509413 + 0.874628i
\(759\) 2.36760 58.5695i 0.0859385 2.12594i
\(760\) −4.06055 + 0.474611i −0.147292 + 0.0172159i
\(761\) −5.86783 + 6.21954i −0.212709 + 0.225458i −0.824939 0.565221i \(-0.808791\pi\)
0.612231 + 0.790679i \(0.290272\pi\)
\(762\) −13.7744 + 5.29258i −0.498993 + 0.191730i
\(763\) 34.1420 + 3.99063i 1.23602 + 0.144471i
\(764\) 13.6565 11.4592i 0.494075 0.414579i
\(765\) −3.34262 2.60807i −0.120853 0.0942951i
\(766\) −4.44327 3.72835i −0.160542 0.134711i
\(767\) 6.09612 + 6.46151i 0.220118 + 0.233312i
\(768\) 1.56139 + 0.749708i 0.0563418 + 0.0270528i
\(769\) −11.2283 + 5.63904i −0.404901 + 0.203349i −0.639581 0.768724i \(-0.720892\pi\)
0.234680 + 0.972073i \(0.424596\pi\)
\(770\) −10.7188 + 5.38320i −0.386280 + 0.193997i
\(771\) 1.72114 + 22.6169i 0.0619855 + 0.814528i
\(772\) 15.3362 + 16.2554i 0.551960 + 0.585044i
\(773\) 39.4061 + 33.0656i 1.41734 + 1.18929i 0.952748 + 0.303761i \(0.0982426\pi\)
0.464590 + 0.885526i \(0.346202\pi\)
\(774\) −8.75516 13.9911i −0.314698 0.502900i
\(775\) −19.9123 + 16.7084i −0.715271 + 0.600183i
\(776\) 17.1875 + 2.00893i 0.616994 + 0.0721163i
\(777\) −0.512021 + 3.23954i −0.0183687 + 0.116218i
\(778\) 14.1025 14.9478i 0.505599 0.535903i
\(779\) −41.2841 + 4.82541i −1.47915 + 0.172888i
\(780\) −2.52057 + 1.32249i −0.0902508 + 0.0473529i
\(781\) 0.0756466 + 1.29880i 0.00270685 + 0.0464748i
\(782\) 5.59680 9.69393i 0.200141 0.346654i
\(783\) 16.6406 + 33.5388i 0.594687 + 1.19858i
\(784\) −0.440251 0.762537i −0.0157232 0.0272334i
\(785\) 6.87058 4.51885i 0.245221 0.161285i
\(786\) −27.0207 5.89880i −0.963795 0.210403i
\(787\) 1.22244 2.83392i 0.0435751 0.101018i −0.895038 0.445989i \(-0.852852\pi\)
0.938613 + 0.344971i \(0.112111\pi\)
\(788\) −3.97306 0.941633i −0.141534 0.0335443i
\(789\) 2.63920 4.76487i 0.0939581 0.169634i
\(790\) −1.97891 + 2.65813i −0.0704063 + 0.0945721i
\(791\) −17.9668 6.53937i −0.638825 0.232513i
\(792\) −8.60475 10.7391i −0.305757 0.381597i
\(793\) 8.74152 3.18165i 0.310420 0.112984i
\(794\) −4.20716 + 14.0529i −0.149307 + 0.498719i
\(795\) −4.29912 0.425183i −0.152474 0.0150797i
\(796\) 0.0470760 0.808264i 0.00166857 0.0286482i
\(797\) −14.5827 9.59119i −0.516546 0.339738i 0.264321 0.964435i \(-0.414852\pi\)
−0.780867 + 0.624697i \(0.785222\pi\)
\(798\) −5.75600 + 20.5489i −0.203760 + 0.727425i
\(799\) 7.45662 1.76725i 0.263796 0.0625209i
\(800\) 0.717572 4.06955i 0.0253700 0.143880i
\(801\) 12.9334 + 27.2741i 0.456978 + 0.963683i
\(802\) −4.63670 26.2960i −0.163727 0.928544i
\(803\) −21.0354 48.7656i −0.742324 1.72090i
\(804\) −18.7065 + 16.2719i −0.659728 + 0.573867i
\(805\) 5.53311 + 18.4819i 0.195017 + 0.651401i
\(806\) 6.62716 + 8.90181i 0.233432 + 0.313553i
\(807\) 21.3931 + 27.6943i 0.753072 + 0.974884i
\(808\) 5.65559 + 2.84035i 0.198963 + 0.0999230i
\(809\) 55.0128 1.93415 0.967074 0.254495i \(-0.0819092\pi\)
0.967074 + 0.254495i \(0.0819092\pi\)
\(810\) 2.96887 + 7.84009i 0.104316 + 0.275473i
\(811\) −0.195906 −0.00687919 −0.00343960 0.999994i \(-0.501095\pi\)
−0.00343960 + 0.999994i \(0.501095\pi\)
\(812\) 18.0755 + 9.07787i 0.634326 + 0.318571i
\(813\) 19.5848 47.7175i 0.686870 1.67353i
\(814\) 1.84768 + 2.48187i 0.0647612 + 0.0869894i
\(815\) 5.66967 + 18.9380i 0.198600 + 0.663370i
\(816\) −0.502247 2.57940i −0.0175822 0.0902969i
\(817\) 9.56362 + 22.1710i 0.334589 + 0.775664i
\(818\) 1.69066 + 9.58820i 0.0591125 + 0.335244i
\(819\) 1.39060 + 14.7929i 0.0485916 + 0.516905i
\(820\) −1.53187 + 8.68766i −0.0534952 + 0.303386i
\(821\) 8.41661 1.99477i 0.293742 0.0696181i −0.0811028 0.996706i \(-0.525844\pi\)
0.374845 + 0.927088i \(0.377696\pi\)
\(822\) 18.0610 4.62110i 0.629951 0.161179i
\(823\) −29.5504 19.4356i −1.03006 0.677482i −0.0823472 0.996604i \(-0.526242\pi\)
−0.947714 + 0.319122i \(0.896612\pi\)
\(824\) −1.08299 + 18.5943i −0.0377278 + 0.647762i
\(825\) −19.1344 + 26.6792i −0.666173 + 0.928850i
\(826\) 4.05389 13.5409i 0.141053 0.471150i
\(827\) 17.2621 6.28287i 0.600261 0.218477i −0.0239758 0.999713i \(-0.507632\pi\)
0.624236 + 0.781236i \(0.285410\pi\)
\(828\) −19.4137 + 10.6303i −0.674674 + 0.369429i
\(829\) −25.5086 9.28437i −0.885951 0.322460i −0.141342 0.989961i \(-0.545142\pi\)
−0.744609 + 0.667501i \(0.767364\pi\)
\(830\) 5.95169 7.99451i 0.206586 0.277493i
\(831\) 7.61919 0.135452i 0.264307 0.00469877i
\(832\) −1.71671 0.406869i −0.0595164 0.0141056i
\(833\) −0.529116 + 1.22663i −0.0183328 + 0.0425002i
\(834\) 7.51556 8.25520i 0.260243 0.285854i
\(835\) −12.4644 + 8.19796i −0.431348 + 0.283702i
\(836\) 10.0660 + 17.4349i 0.348141 + 0.602998i
\(837\) 28.3853 16.2052i 0.981141 0.560135i
\(838\) −4.43326 + 7.67862i −0.153144 + 0.265254i
\(839\) −0.691745 11.8768i −0.0238817 0.410033i −0.988971 0.148111i \(-0.952681\pi\)
0.965089 0.261922i \(-0.0843563\pi\)
\(840\) 3.82767 + 2.42114i 0.132067 + 0.0835374i
\(841\) −22.7620 + 2.66050i −0.784898 + 0.0917414i
\(842\) −7.92129 + 8.39608i −0.272986 + 0.289348i
\(843\) −38.0710 30.8090i −1.31123 1.06112i
\(844\) −11.2940 1.32008i −0.388756 0.0454391i
\(845\) −7.05523 + 5.92004i −0.242707 + 0.203656i
\(846\) −14.4142 4.67317i −0.495569 0.160667i
\(847\) 21.5929 + 18.1186i 0.741942 + 0.622564i
\(848\) −1.83752 1.94766i −0.0631008 0.0668830i
\(849\) −10.4191 + 7.12122i −0.357582 + 0.244400i
\(850\) −5.60263 + 2.81375i −0.192169 + 0.0965108i
\(851\) 4.44727 2.23350i 0.152451 0.0765635i
\(852\) 0.405573 0.277201i 0.0138947 0.00949674i
\(853\) 20.9646 + 22.2211i 0.717813 + 0.760837i 0.978869 0.204486i \(-0.0655523\pi\)
−0.261056 + 0.965324i \(0.584071\pi\)
\(854\) −11.3388 9.51437i −0.388005 0.325575i
\(855\) −2.55769 11.9949i −0.0874712 0.410218i
\(856\) −0.812958 + 0.682153i −0.0277863 + 0.0233155i
\(857\) −26.5253 3.10036i −0.906087 0.105906i −0.349731 0.936850i \(-0.613727\pi\)
−0.556356 + 0.830944i \(0.687801\pi\)
\(858\) 10.8962 + 8.81777i 0.371991 + 0.301034i
\(859\) 12.8776 13.6495i 0.439379 0.465715i −0.469404 0.882984i \(-0.655531\pi\)
0.908783 + 0.417269i \(0.137013\pi\)
\(860\) 5.08998 0.594933i 0.173567 0.0202870i
\(861\) 38.9163 + 24.6160i 1.32626 + 0.838911i
\(862\) −1.57697 27.0755i −0.0537118 0.922196i
\(863\) 20.7662 35.9682i 0.706891 1.22437i −0.259113 0.965847i \(-0.583430\pi\)
0.966005 0.258525i \(-0.0832363\pi\)
\(864\) −1.80085 + 4.87411i −0.0612662 + 0.165821i
\(865\) 5.25893 + 9.10873i 0.178809 + 0.309706i
\(866\) −1.55940 + 1.02564i −0.0529907 + 0.0348525i
\(867\) 17.1384 18.8250i 0.582051 0.639332i
\(868\) 6.99410 16.2141i 0.237395 0.550344i
\(869\) 15.8791 + 3.76341i 0.538661 + 0.127665i
\(870\) −11.6232 + 0.206633i −0.394062 + 0.00700552i
\(871\) 15.0810 20.2573i 0.510999 0.686391i
\(872\) −11.5065 4.18804i −0.389661 0.141825i
\(873\) −1.17449 + 51.9002i −0.0397505 + 1.75655i
\(874\) 30.4279 11.0748i 1.02924 0.374612i
\(875\) 6.84888 22.8769i 0.231535 0.773379i
\(876\) −11.6874 + 16.2959i −0.394882 + 0.550587i
\(877\) −2.80398 + 48.1425i −0.0946838 + 1.62566i 0.532251 + 0.846587i \(0.321346\pi\)
−0.626935 + 0.779072i \(0.715691\pi\)
\(878\) −4.57484 3.00892i −0.154393 0.101546i
\(879\) 0.652922 0.167057i 0.0220225 0.00563468i
\(880\) 4.15761 0.985373i 0.140153 0.0332169i
\(881\) −6.90826 + 39.1787i −0.232745 + 1.31996i 0.614565 + 0.788866i \(0.289331\pi\)
−0.847310 + 0.531098i \(0.821780\pi\)
\(882\) 2.15396 1.52906i 0.0725275 0.0514860i
\(883\) 0.0528584 + 0.299775i 0.00177883 + 0.0100882i 0.985684 0.168602i \(-0.0539252\pi\)
−0.983905 + 0.178690i \(0.942814\pi\)
\(884\) 1.06020 + 2.45781i 0.0356582 + 0.0826651i
\(885\) 1.55263 + 7.97386i 0.0521911 + 0.268038i
\(886\) −3.27873 10.9517i −0.110151 0.367930i
\(887\) −12.3866 16.6381i −0.415901 0.558652i 0.543966 0.839107i \(-0.316922\pi\)
−0.959867 + 0.280455i \(0.909515\pi\)
\(888\) 0.443609 1.08083i 0.0148865 0.0362703i
\(889\) −21.3722 10.7335i −0.716800 0.359991i
\(890\) −9.37239 −0.314163
\(891\) 29.6598 28.7162i 0.993642 0.962030i
\(892\) 17.7654 0.594829
\(893\) 19.8100 + 9.94896i 0.662917 + 0.332929i
\(894\) −0.0366525 0.0474483i −0.00122584 0.00158691i
\(895\) −11.0948 14.9030i −0.370860 0.498151i
\(896\) 0.805121 + 2.68929i 0.0268972 + 0.0898429i
\(897\) 17.0104 14.7966i 0.567961 0.494043i
\(898\) 0.231329 + 0.536281i 0.00771956 + 0.0178959i
\(899\) 7.87041 + 44.6353i 0.262493 + 1.48867i
\(900\) 12.3565 + 1.00063i 0.411885 + 0.0333544i
\(901\) −0.705447 + 4.00079i −0.0235018 + 0.133286i
\(902\) 42.2709 10.0184i 1.40747 0.333576i
\(903\) 7.21525 25.7585i 0.240109 0.857188i
\(904\) 5.69046 + 3.74268i 0.189262 + 0.124480i
\(905\) 1.15268 19.7907i 0.0383164 0.657866i
\(906\) −39.2936 3.88613i −1.30544 0.129108i
\(907\) −6.46164 + 21.5834i −0.214555 + 0.716664i 0.781172 + 0.624316i \(0.214622\pi\)
−0.995727 + 0.0923479i \(0.970563\pi\)
\(908\) 2.35465 0.857022i 0.0781418 0.0284413i
\(909\) −6.89568 + 17.6898i −0.228715 + 0.586734i
\(910\) −4.33516 1.57787i −0.143709 0.0523059i
\(911\) −10.4625 + 14.0536i −0.346640 + 0.465618i −0.940915 0.338644i \(-0.890032\pi\)
0.594275 + 0.804262i \(0.297439\pi\)
\(912\) 3.68327 6.64985i 0.121965 0.220199i
\(913\) −47.7574 11.3187i −1.58054 0.374594i
\(914\) −5.17077 + 11.9872i −0.171034 + 0.396501i
\(915\) 8.31120 + 1.81439i 0.274760 + 0.0599820i
\(916\) −3.77373 + 2.48202i −0.124688 + 0.0820083i
\(917\) −22.4126 38.8197i −0.740129 1.28194i
\(918\) 7.56320 2.22436i 0.249623 0.0734149i
\(919\) 6.84333 11.8530i 0.225741 0.390994i −0.730801 0.682591i \(-0.760853\pi\)
0.956541 + 0.291597i \(0.0941865\pi\)
\(920\) −0.399595 6.86077i −0.0131742 0.226193i
\(921\) −25.8911 + 13.5846i −0.853142 + 0.447628i
\(922\) −11.5943 + 1.35518i −0.381838 + 0.0446305i
\(923\) −0.343389 + 0.363971i −0.0113028 + 0.0119803i
\(924\) 3.48192 22.0300i 0.114547 0.724733i
\(925\) −2.76855 0.323597i −0.0910293 0.0106398i
\(926\) −7.53467 + 6.32234i −0.247605 + 0.207765i
\(927\) −55.8420 + 1.98612i −1.83409 + 0.0652326i
\(928\) −5.51961 4.63151i −0.181190 0.152037i
\(929\) 24.0142 + 25.4536i 0.787880 + 0.835104i 0.989526 0.144354i \(-0.0461105\pi\)
−0.201646 + 0.979459i \(0.564629\pi\)
\(930\) 0.770088 + 10.1194i 0.0252522 + 0.331829i
\(931\) −3.45337 + 1.73435i −0.113180 + 0.0568410i
\(932\) 10.9356 5.49206i 0.358207 0.179898i
\(933\) 39.1733 + 18.8092i 1.28248 + 0.615786i
\(934\) −12.2377 12.9712i −0.400430 0.424431i
\(935\) −4.96596 4.16694i −0.162404 0.136273i
\(936\) 0.733236 5.24178i 0.0239666 0.171333i
\(937\) 16.4755 13.8246i 0.538230 0.451629i −0.332702 0.943032i \(-0.607960\pi\)
0.870932 + 0.491403i \(0.163516\pi\)
\(938\) −39.9121 4.66506i −1.30318 0.152320i
\(939\) −15.2131 + 5.84540i −0.496461 + 0.190757i
\(940\) 3.22868 3.42220i 0.105308 0.111620i
\(941\) 3.44570 0.402744i 0.112326 0.0131291i −0.0597439 0.998214i \(-0.519028\pi\)
0.172070 + 0.985085i \(0.444954\pi\)
\(942\) −0.617617 + 15.2785i −0.0201230 + 0.497802i
\(943\) −4.06272 69.7542i −0.132300 2.27151i
\(944\) −2.51757 + 4.36056i −0.0819399 + 0.141924i
\(945\) −6.15683 + 12.1124i −0.200282 + 0.394017i
\(946\) −12.6180 21.8550i −0.410245 0.710566i
\(947\) −43.1639 + 28.3894i −1.40264 + 0.922530i −0.402665 + 0.915348i \(0.631916\pi\)
−0.999974 + 0.00718267i \(0.997714\pi\)
\(948\) −1.87192 5.87075i −0.0607971 0.190673i
\(949\) 8.09063 18.7562i 0.262633 0.608852i
\(950\) −17.6475 4.18253i −0.572560 0.135699i
\(951\) 12.0064 + 19.9674i 0.389334 + 0.647487i
\(952\) 2.54334 3.41630i 0.0824302 0.110723i
\(953\) −1.06059 0.386024i −0.0343559 0.0125045i 0.324785 0.945788i \(-0.394708\pi\)
−0.359141 + 0.933283i \(0.616930\pi\)
\(954\) 5.30140 6.03523i 0.171639 0.195398i
\(955\) −15.6045 + 5.67956i −0.504949 + 0.183786i
\(956\) −7.60165 + 25.3913i −0.245855 + 0.821212i
\(957\) 23.6050 + 52.1534i 0.763040 + 1.68588i
\(958\) 2.09425 35.9569i 0.0676622 1.16171i
\(959\) 25.2446 + 16.6036i 0.815191 + 0.536159i
\(960\) −1.12786 1.15367i −0.0364014 0.0372345i
\(961\) 8.33709 1.97593i 0.268938 0.0637395i
\(962\) −0.206652 + 1.17198i −0.00666272 + 0.0377861i
\(963\) −2.26574 2.23664i −0.0730123 0.0720746i
\(964\) −0.948020 5.37649i −0.0305337 0.173165i
\(965\) −8.24516 19.1144i −0.265421 0.615316i
\(966\) −33.9224 11.6682i −1.09144 0.375418i
\(967\) 3.58456 + 11.9733i 0.115272 + 0.385035i 0.996082 0.0884350i \(-0.0281866\pi\)
−0.880810 + 0.473470i \(0.843001\pi\)
\(968\) −5.99612 8.05419i −0.192723 0.258872i
\(969\) −11.4297 + 1.54234i −0.367175 + 0.0495471i
\(970\) −14.4044 7.23416i −0.462497 0.232275i
\(971\) 13.7306 0.440635 0.220318 0.975428i \(-0.429291\pi\)
0.220318 + 0.975428i \(0.429291\pi\)
\(972\) −15.0638 4.01030i −0.483171 0.128630i
\(973\) 18.0939 0.580062
\(974\) −25.2719 12.6920i −0.809765 0.406679i
\(975\) −12.5142 + 1.68868i −0.400774 + 0.0540810i
\(976\) 3.14866 + 4.22938i 0.100786 + 0.135379i
\(977\) 1.36028 + 4.54365i 0.0435192 + 0.145364i 0.976988 0.213295i \(-0.0684194\pi\)
−0.933469 + 0.358659i \(0.883234\pi\)
\(978\) −34.7597 11.9562i −1.11149 0.382316i
\(979\) 18.2806 + 42.3792i 0.584250 + 1.35444i
\(980\) 0.142422 + 0.807716i 0.00454951 + 0.0258015i
\(981\) 9.27820 35.5440i 0.296230 1.13483i
\(982\) −0.763784 + 4.33163i −0.0243733 + 0.138228i
\(983\) 25.3644 6.01148i 0.808999 0.191736i 0.194754 0.980852i \(-0.437609\pi\)
0.614245 + 0.789116i \(0.289461\pi\)
\(984\) −11.4670 11.7295i −0.365555 0.373921i
\(985\) 3.17768 + 2.08999i 0.101249 + 0.0665926i
\(986\) −0.635629 + 10.9133i −0.0202426 + 0.347551i
\(987\) −10.1266 22.3739i −0.322332 0.712169i
\(988\) −2.22077 + 7.41789i −0.0706521 + 0.235995i
\(989\) −38.1419 + 13.8825i −1.21284 + 0.441438i
\(990\) 4.11050 + 12.1414i 0.130640 + 0.385880i
\(991\) −18.1061 6.59007i −0.575158 0.209340i 0.0380312 0.999277i \(-0.487891\pi\)
−0.613189 + 0.789936i \(0.710114\pi\)
\(992\) −3.75631 + 5.04561i −0.119263 + 0.160198i
\(993\) 12.5432 + 20.8602i 0.398047 + 0.661977i
\(994\) 0.774737 + 0.183616i 0.0245732 + 0.00582395i
\(995\) −0.298709 + 0.692486i −0.00946972 + 0.0219533i
\(996\) 5.62992 + 17.6567i 0.178391 + 0.559473i
\(997\) −20.9254 + 13.7628i −0.662713 + 0.435873i −0.835800 0.549033i \(-0.814996\pi\)
0.173088 + 0.984906i \(0.444626\pi\)
\(998\) 7.92200 + 13.7213i 0.250766 + 0.434340i
\(999\) 3.35282 + 1.02151i 0.106078 + 0.0323192i
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 162.2.g.a.13.1 72
3.2 odd 2 486.2.g.a.253.3 72
81.25 even 27 inner 162.2.g.a.25.1 yes 72
81.56 odd 54 486.2.g.a.73.3 72
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
162.2.g.a.13.1 72 1.1 even 1 trivial
162.2.g.a.25.1 yes 72 81.25 even 27 inner
486.2.g.a.73.3 72 81.56 odd 54
486.2.g.a.253.3 72 3.2 odd 2