Properties

Label 189.2.v.b.43.7
Level $189$
Weight $2$
Character 189.43
Analytic conductor $1.509$
Analytic rank $0$
Dimension $54$
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] = [189,2,Mod(22,189)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(189, base_ring=CyclotomicField(18))
 
chi = DirichletCharacter(H, H._module([14, 0]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("189.22");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 189 = 3^{3} \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 189.v (of order \(9\), degree \(6\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.50917259820\)
Analytic rank: \(0\)
Dimension: \(54\)
Relative dimension: \(9\) over \(\Q(\zeta_{9})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{9}]$

Embedding invariants

Embedding label 43.7
Character \(\chi\) \(=\) 189.43
Dual form 189.2.v.b.22.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(1.19955 + 1.00654i) q^{2} +(1.37519 + 1.05302i) q^{3} +(0.0784988 + 0.445189i) q^{4} +(-0.920293 - 0.334959i) q^{5} +(0.589706 + 2.64734i) q^{6} +(-0.173648 + 0.984808i) q^{7} +(1.21197 - 2.09919i) q^{8} +(0.782305 + 2.89620i) q^{9} +O(q^{10})\) \(q+(1.19955 + 1.00654i) q^{2} +(1.37519 + 1.05302i) q^{3} +(0.0784988 + 0.445189i) q^{4} +(-0.920293 - 0.334959i) q^{5} +(0.589706 + 2.64734i) q^{6} +(-0.173648 + 0.984808i) q^{7} +(1.21197 - 2.09919i) q^{8} +(0.782305 + 2.89620i) q^{9} +(-0.766788 - 1.32812i) q^{10} +(-0.683043 + 0.248607i) q^{11} +(-0.360841 + 0.694880i) q^{12} +(-1.50165 + 1.26003i) q^{13} +(-1.19955 + 1.00654i) q^{14} +(-0.912861 - 1.42972i) q^{15} +(4.41633 - 1.60741i) q^{16} +(-3.15448 - 5.46372i) q^{17} +(-1.97674 + 4.26157i) q^{18} +(-0.224384 + 0.388644i) q^{19} +(0.0768782 - 0.435998i) q^{20} +(-1.27582 + 1.17144i) q^{21} +(-1.06958 - 0.389295i) q^{22} +(-1.39262 - 7.89794i) q^{23} +(3.87717 - 1.61056i) q^{24} +(-3.09548 - 2.59742i) q^{25} -3.06959 q^{26} +(-1.97394 + 4.80662i) q^{27} -0.452056 q^{28} +(3.48127 + 2.92113i) q^{29} +(0.344050 - 2.63386i) q^{30} +(0.814166 + 4.61737i) q^{31} +(2.36005 + 0.858986i) q^{32} +(-1.20110 - 0.377374i) q^{33} +(1.71551 - 9.72914i) q^{34} +(0.489678 - 0.848147i) q^{35} +(-1.22795 + 0.575622i) q^{36} +(3.63874 + 6.30248i) q^{37} +(-0.660347 + 0.240347i) q^{38} +(-3.39190 + 0.151524i) q^{39} +(-1.81851 + 1.52591i) q^{40} +(-1.96285 + 1.64702i) q^{41} +(-2.70952 + 0.121041i) q^{42} +(10.0140 - 3.64478i) q^{43} +(-0.164295 - 0.284568i) q^{44} +(0.250160 - 2.92740i) q^{45} +(6.27910 - 10.8757i) q^{46} +(-0.999232 + 5.66693i) q^{47} +(7.76593 + 2.43997i) q^{48} +(-0.939693 - 0.342020i) q^{49} +(-1.09878 - 6.23147i) q^{50} +(1.41538 - 10.8354i) q^{51} +(-0.678831 - 0.569606i) q^{52} -4.39180 q^{53} +(-7.20591 + 3.77894i) q^{54} +0.711873 q^{55} +(1.85684 + 1.55807i) q^{56} +(-0.717820 + 0.298180i) q^{57} +(1.23572 + 7.00810i) q^{58} +(-9.60177 - 3.49476i) q^{59} +(0.564836 - 0.518627i) q^{60} +(-1.64939 + 9.35413i) q^{61} +(-3.67095 + 6.35827i) q^{62} +(-2.98805 + 0.267500i) q^{63} +(-2.73337 - 4.73433i) q^{64} +(1.80402 - 0.656609i) q^{65} +(-1.06094 - 1.66164i) q^{66} +(2.45045 - 2.05617i) q^{67} +(2.18476 - 1.83323i) q^{68} +(6.40155 - 12.3276i) q^{69} +(1.44109 - 0.524514i) q^{70} +(2.44909 + 4.24194i) q^{71} +(7.02780 + 1.86790i) q^{72} +(-3.33581 + 5.77779i) q^{73} +(-1.97887 + 11.2227i) q^{74} +(-1.52175 - 6.83154i) q^{75} +(-0.190634 - 0.0693850i) q^{76} +(-0.126221 - 0.715836i) q^{77} +(-4.22127 - 3.23233i) q^{78} +(-1.06077 - 0.890095i) q^{79} -4.60273 q^{80} +(-7.77600 + 4.53143i) q^{81} -4.01234 q^{82} +(1.93032 + 1.61973i) q^{83} +(-0.621664 - 0.476024i) q^{84} +(1.07292 + 6.08485i) q^{85} +(15.6809 + 5.70738i) q^{86} +(1.71141 + 7.68296i) q^{87} +(-0.305952 + 1.73514i) q^{88} +(2.65177 - 4.59300i) q^{89} +(3.24663 - 3.25977i) q^{90} +(-0.980133 - 1.69764i) q^{91} +(3.40675 - 1.23996i) q^{92} +(-3.74254 + 7.20710i) q^{93} +(-6.90264 + 5.79201i) q^{94} +(0.336679 - 0.282507i) q^{95} +(2.34099 + 3.66644i) q^{96} +(11.9846 - 4.36204i) q^{97} +(-0.782952 - 1.35611i) q^{98} +(-1.25437 - 1.78375i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 54 q + 3 q^{3} - 3 q^{5} + 9 q^{8} + 3 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 54 q + 3 q^{3} - 3 q^{5} + 9 q^{8} + 3 q^{9} - 6 q^{11} - 60 q^{12} + 9 q^{13} - 9 q^{15} + 30 q^{17} - 3 q^{18} + 18 q^{20} + 3 q^{21} - 9 q^{22} + 36 q^{24} - 45 q^{25} - 54 q^{26} - 57 q^{27} - 54 q^{28} + 30 q^{29} + 24 q^{30} - 9 q^{31} + 51 q^{32} - 12 q^{33} - 9 q^{34} - 12 q^{35} + 48 q^{36} - 78 q^{38} - 36 q^{39} + 45 q^{40} - 51 q^{41} - 12 q^{42} - 9 q^{43} + 30 q^{44} + 51 q^{45} - 9 q^{47} + 15 q^{48} + 126 q^{50} - 12 q^{51} + 9 q^{52} - 60 q^{53} - 90 q^{54} + 9 q^{56} + 39 q^{57} - 27 q^{58} + 42 q^{59} + 135 q^{60} + 36 q^{62} + 9 q^{63} - 27 q^{64} - 18 q^{65} - 147 q^{66} - 27 q^{67} - 81 q^{68} + 48 q^{69} + 75 q^{72} + 84 q^{74} + 15 q^{75} + 54 q^{76} - 3 q^{77} - 66 q^{78} + 72 q^{79} - 222 q^{80} - 69 q^{81} - 54 q^{83} - 12 q^{84} + 18 q^{85} + 66 q^{86} + 3 q^{87} + 54 q^{88} + 90 q^{89} + 15 q^{90} - 129 q^{92} + 21 q^{93} + 36 q^{94} - 48 q^{95} + 36 q^{96} + 3 q^{98} + 51 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/189\mathbb{Z}\right)^\times\).

\(n\) \(29\) \(136\)
\(\chi(n)\) \(e\left(\frac{2}{9}\right)\) \(1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.19955 + 1.00654i 0.848212 + 0.711734i 0.959395 0.282066i \(-0.0910197\pi\)
−0.111183 + 0.993800i \(0.535464\pi\)
\(3\) 1.37519 + 1.05302i 0.793967 + 0.607960i
\(4\) 0.0784988 + 0.445189i 0.0392494 + 0.222594i
\(5\) −0.920293 0.334959i −0.411568 0.149798i 0.127935 0.991783i \(-0.459165\pi\)
−0.539502 + 0.841984i \(0.681387\pi\)
\(6\) 0.589706 + 2.64734i 0.240746 + 1.08077i
\(7\) −0.173648 + 0.984808i −0.0656328 + 0.372222i
\(8\) 1.21197 2.09919i 0.428495 0.742174i
\(9\) 0.782305 + 2.89620i 0.260768 + 0.965401i
\(10\) −0.766788 1.32812i −0.242480 0.419987i
\(11\) −0.683043 + 0.248607i −0.205945 + 0.0749579i −0.442933 0.896555i \(-0.646062\pi\)
0.236988 + 0.971513i \(0.423840\pi\)
\(12\) −0.360841 + 0.694880i −0.104166 + 0.200595i
\(13\) −1.50165 + 1.26003i −0.416483 + 0.349471i −0.826823 0.562462i \(-0.809854\pi\)
0.410340 + 0.911932i \(0.365410\pi\)
\(14\) −1.19955 + 1.00654i −0.320594 + 0.269010i
\(15\) −0.912861 1.42972i −0.235700 0.369152i
\(16\) 4.41633 1.60741i 1.10408 0.401853i
\(17\) −3.15448 5.46372i −0.765074 1.32515i −0.940207 0.340602i \(-0.889369\pi\)
0.175133 0.984545i \(-0.443964\pi\)
\(18\) −1.97674 + 4.26157i −0.465922 + 1.00446i
\(19\) −0.224384 + 0.388644i −0.0514772 + 0.0891611i −0.890616 0.454757i \(-0.849726\pi\)
0.839139 + 0.543918i \(0.183060\pi\)
\(20\) 0.0768782 0.435998i 0.0171905 0.0974921i
\(21\) −1.27582 + 1.17144i −0.278407 + 0.255630i
\(22\) −1.06958 0.389295i −0.228035 0.0829980i
\(23\) −1.39262 7.89794i −0.290381 1.64683i −0.685404 0.728163i \(-0.740375\pi\)
0.395023 0.918671i \(-0.370737\pi\)
\(24\) 3.87717 1.61056i 0.791423 0.328755i
\(25\) −3.09548 2.59742i −0.619096 0.519483i
\(26\) −3.06959 −0.601996
\(27\) −1.97394 + 4.80662i −0.379884 + 0.925034i
\(28\) −0.452056 −0.0854306
\(29\) 3.48127 + 2.92113i 0.646456 + 0.542441i 0.905993 0.423292i \(-0.139126\pi\)
−0.259538 + 0.965733i \(0.583570\pi\)
\(30\) 0.344050 2.63386i 0.0628146 0.480874i
\(31\) 0.814166 + 4.61737i 0.146229 + 0.829304i 0.966372 + 0.257146i \(0.0827822\pi\)
−0.820144 + 0.572157i \(0.806107\pi\)
\(32\) 2.36005 + 0.858986i 0.417201 + 0.151849i
\(33\) −1.20110 0.377374i −0.209085 0.0656924i
\(34\) 1.71551 9.72914i 0.294208 1.66853i
\(35\) 0.489678 0.848147i 0.0827706 0.143363i
\(36\) −1.22795 + 0.575622i −0.204658 + 0.0959370i
\(37\) 3.63874 + 6.30248i 0.598205 + 1.03612i 0.993086 + 0.117390i \(0.0374526\pi\)
−0.394881 + 0.918732i \(0.629214\pi\)
\(38\) −0.660347 + 0.240347i −0.107122 + 0.0389894i
\(39\) −3.39190 + 0.151524i −0.543138 + 0.0242632i
\(40\) −1.81851 + 1.52591i −0.287531 + 0.241267i
\(41\) −1.96285 + 1.64702i −0.306545 + 0.257222i −0.783062 0.621943i \(-0.786343\pi\)
0.476517 + 0.879165i \(0.341899\pi\)
\(42\) −2.70952 + 0.121041i −0.418089 + 0.0186770i
\(43\) 10.0140 3.64478i 1.52711 0.555824i 0.564202 0.825637i \(-0.309184\pi\)
0.962913 + 0.269813i \(0.0869619\pi\)
\(44\) −0.164295 0.284568i −0.0247684 0.0429002i
\(45\) 0.250160 2.92740i 0.0372917 0.436391i
\(46\) 6.27910 10.8757i 0.925803 1.60354i
\(47\) −0.999232 + 5.66693i −0.145753 + 0.826606i 0.821006 + 0.570919i \(0.193413\pi\)
−0.966759 + 0.255688i \(0.917698\pi\)
\(48\) 7.76593 + 2.43997i 1.12092 + 0.352180i
\(49\) −0.939693 0.342020i −0.134242 0.0488600i
\(50\) −1.09878 6.23147i −0.155391 0.881264i
\(51\) 1.41538 10.8354i 0.198193 1.51726i
\(52\) −0.678831 0.569606i −0.0941369 0.0789902i
\(53\) −4.39180 −0.603259 −0.301630 0.953425i \(-0.597531\pi\)
−0.301630 + 0.953425i \(0.597531\pi\)
\(54\) −7.20591 + 3.77894i −0.980600 + 0.514248i
\(55\) 0.711873 0.0959889
\(56\) 1.85684 + 1.55807i 0.248131 + 0.208206i
\(57\) −0.717820 + 0.298180i −0.0950776 + 0.0394949i
\(58\) 1.23572 + 7.00810i 0.162258 + 0.920209i
\(59\) −9.60177 3.49476i −1.25004 0.454979i −0.369628 0.929180i \(-0.620515\pi\)
−0.880417 + 0.474201i \(0.842737\pi\)
\(60\) 0.564836 0.518627i 0.0729200 0.0669544i
\(61\) −1.64939 + 9.35413i −0.211182 + 1.19767i 0.676228 + 0.736693i \(0.263614\pi\)
−0.887410 + 0.460981i \(0.847498\pi\)
\(62\) −3.67095 + 6.35827i −0.466211 + 0.807501i
\(63\) −2.98805 + 0.267500i −0.376459 + 0.0337018i
\(64\) −2.73337 4.73433i −0.341671 0.591791i
\(65\) 1.80402 0.656609i 0.223761 0.0814423i
\(66\) −1.06094 1.66164i −0.130593 0.204534i
\(67\) 2.45045 2.05617i 0.299371 0.251202i −0.480712 0.876879i \(-0.659622\pi\)
0.780082 + 0.625677i \(0.215177\pi\)
\(68\) 2.18476 1.83323i 0.264942 0.222312i
\(69\) 6.40155 12.3276i 0.770656 1.48407i
\(70\) 1.44109 0.524514i 0.172243 0.0626914i
\(71\) 2.44909 + 4.24194i 0.290653 + 0.503426i 0.973964 0.226701i \(-0.0727941\pi\)
−0.683311 + 0.730127i \(0.739461\pi\)
\(72\) 7.02780 + 1.86790i 0.828234 + 0.220134i
\(73\) −3.33581 + 5.77779i −0.390427 + 0.676239i −0.992506 0.122197i \(-0.961006\pi\)
0.602079 + 0.798437i \(0.294339\pi\)
\(74\) −1.97887 + 11.2227i −0.230039 + 1.30461i
\(75\) −1.52175 6.83154i −0.175717 0.788839i
\(76\) −0.190634 0.0693850i −0.0218672 0.00795901i
\(77\) −0.126221 0.715836i −0.0143842 0.0815771i
\(78\) −4.22127 3.23233i −0.477965 0.365989i
\(79\) −1.06077 0.890095i −0.119346 0.100144i 0.581161 0.813788i \(-0.302599\pi\)
−0.700508 + 0.713645i \(0.747043\pi\)
\(80\) −4.60273 −0.514601
\(81\) −7.77600 + 4.53143i −0.864000 + 0.503492i
\(82\) −4.01234 −0.443088
\(83\) 1.93032 + 1.61973i 0.211880 + 0.177788i 0.742551 0.669790i \(-0.233616\pi\)
−0.530671 + 0.847578i \(0.678060\pi\)
\(84\) −0.621664 0.476024i −0.0678291 0.0519384i
\(85\) 1.07292 + 6.08485i 0.116375 + 0.659994i
\(86\) 15.6809 + 5.70738i 1.69091 + 0.615443i
\(87\) 1.71141 + 7.68296i 0.183482 + 0.823699i
\(88\) −0.305952 + 1.73514i −0.0326146 + 0.184966i
\(89\) 2.65177 4.59300i 0.281087 0.486857i −0.690566 0.723270i \(-0.742638\pi\)
0.971653 + 0.236413i \(0.0759717\pi\)
\(90\) 3.24663 3.25977i 0.342225 0.343610i
\(91\) −0.980133 1.69764i −0.102746 0.177961i
\(92\) 3.40675 1.23996i 0.355179 0.129274i
\(93\) −3.74254 + 7.20710i −0.388083 + 0.747341i
\(94\) −6.90264 + 5.79201i −0.711953 + 0.597400i
\(95\) 0.336679 0.282507i 0.0345425 0.0289846i
\(96\) 2.34099 + 3.66644i 0.238926 + 0.374205i
\(97\) 11.9846 4.36204i 1.21685 0.442898i 0.347777 0.937577i \(-0.386937\pi\)
0.869076 + 0.494679i \(0.164714\pi\)
\(98\) −0.782952 1.35611i −0.0790901 0.136988i
\(99\) −1.25437 1.78375i −0.126069 0.179273i
\(100\) 0.913349 1.58197i 0.0913349 0.158197i
\(101\) −0.733004 + 4.15707i −0.0729366 + 0.413644i 0.926377 + 0.376598i \(0.122906\pi\)
−0.999314 + 0.0370463i \(0.988205\pi\)
\(102\) 12.6041 11.5730i 1.24799 1.14590i
\(103\) 1.62325 + 0.590816i 0.159944 + 0.0582149i 0.420751 0.907176i \(-0.361766\pi\)
−0.260807 + 0.965391i \(0.583989\pi\)
\(104\) 0.825098 + 4.67936i 0.0809075 + 0.458849i
\(105\) 1.56651 0.650725i 0.152876 0.0635042i
\(106\) −5.26819 4.42053i −0.511692 0.429360i
\(107\) −3.15073 −0.304593 −0.152296 0.988335i \(-0.548667\pi\)
−0.152296 + 0.988335i \(0.548667\pi\)
\(108\) −2.29480 0.501460i −0.220818 0.0482530i
\(109\) −9.32530 −0.893201 −0.446601 0.894733i \(-0.647366\pi\)
−0.446601 + 0.894733i \(0.647366\pi\)
\(110\) 0.853929 + 0.716531i 0.0814189 + 0.0683186i
\(111\) −1.63266 + 12.4988i −0.154966 + 1.18633i
\(112\) 0.816104 + 4.62836i 0.0771146 + 0.437339i
\(113\) 18.4097 + 6.70057i 1.73184 + 0.630336i 0.998759 0.0498097i \(-0.0158615\pi\)
0.733076 + 0.680146i \(0.238084\pi\)
\(114\) −1.16119 0.364835i −0.108756 0.0341699i
\(115\) −1.36387 + 7.73489i −0.127181 + 0.721282i
\(116\) −1.02718 + 1.77913i −0.0953712 + 0.165188i
\(117\) −4.82406 3.36335i −0.445985 0.310942i
\(118\) −8.00020 13.8568i −0.736478 1.27562i
\(119\) 5.92848 2.15779i 0.543463 0.197804i
\(120\) −4.10760 + 0.183496i −0.374971 + 0.0167508i
\(121\) −8.02175 + 6.73104i −0.729250 + 0.611913i
\(122\) −11.3939 + 9.56059i −1.03155 + 0.865575i
\(123\) −4.43363 + 0.198061i −0.399767 + 0.0178585i
\(124\) −1.99169 + 0.724915i −0.178859 + 0.0650993i
\(125\) 4.42711 + 7.66798i 0.395973 + 0.685845i
\(126\) −3.85357 2.68672i −0.343304 0.239352i
\(127\) −6.39846 + 11.0825i −0.567771 + 0.983409i 0.429015 + 0.903298i \(0.358861\pi\)
−0.996786 + 0.0801111i \(0.974472\pi\)
\(128\) 2.35873 13.3770i 0.208484 1.18237i
\(129\) 17.6091 + 5.53260i 1.55040 + 0.487119i
\(130\) 2.82492 + 1.02819i 0.247762 + 0.0901779i
\(131\) −3.06855 17.4026i −0.268101 1.52047i −0.760058 0.649855i \(-0.774829\pi\)
0.491957 0.870619i \(-0.336282\pi\)
\(132\) 0.0737175 0.564341i 0.00641628 0.0491196i
\(133\) −0.343776 0.288462i −0.0298091 0.0250128i
\(134\) 5.00908 0.432718
\(135\) 3.42662 3.76231i 0.294917 0.323808i
\(136\) −15.2925 −1.31132
\(137\) 9.71112 + 8.14860i 0.829677 + 0.696182i 0.955217 0.295907i \(-0.0956218\pi\)
−0.125540 + 0.992089i \(0.540066\pi\)
\(138\) 20.0873 8.34420i 1.70994 0.710305i
\(139\) −3.34532 18.9722i −0.283746 1.60920i −0.709730 0.704474i \(-0.751183\pi\)
0.425984 0.904731i \(-0.359928\pi\)
\(140\) 0.416024 + 0.151420i 0.0351605 + 0.0127974i
\(141\) −7.34151 + 6.74090i −0.618267 + 0.567686i
\(142\) −1.33189 + 7.55355i −0.111770 + 0.633880i
\(143\) 0.712438 1.23398i 0.0595771 0.103190i
\(144\) 8.11031 + 11.5331i 0.675859 + 0.961092i
\(145\) −2.22533 3.85438i −0.184803 0.320089i
\(146\) −9.81708 + 3.57312i −0.812467 + 0.295714i
\(147\) −0.932104 1.45986i −0.0768787 0.120407i
\(148\) −2.52016 + 2.11466i −0.207156 + 0.173824i
\(149\) 13.9234 11.6831i 1.14065 0.957118i 0.141189 0.989983i \(-0.454908\pi\)
0.999460 + 0.0328650i \(0.0104631\pi\)
\(150\) 5.05083 9.72651i 0.412398 0.794166i
\(151\) −9.95524 + 3.62341i −0.810146 + 0.294869i −0.713684 0.700468i \(-0.752975\pi\)
−0.0964618 + 0.995337i \(0.530753\pi\)
\(152\) 0.543891 + 0.942047i 0.0441154 + 0.0764101i
\(153\) 13.3563 13.4103i 1.07979 1.08416i
\(154\) 0.569112 0.985730i 0.0458603 0.0794324i
\(155\) 0.797358 4.52204i 0.0640454 0.363219i
\(156\) −0.333716 1.49814i −0.0267187 0.119947i
\(157\) 15.3293 + 5.57941i 1.22341 + 0.445286i 0.871336 0.490686i \(-0.163254\pi\)
0.352075 + 0.935972i \(0.385476\pi\)
\(158\) −0.376534 2.13543i −0.0299555 0.169886i
\(159\) −6.03956 4.62464i −0.478968 0.366758i
\(160\) −1.88421 1.58104i −0.148960 0.124992i
\(161\) 8.01978 0.632047
\(162\) −13.8888 2.39119i −1.09121 0.187870i
\(163\) 7.41833 0.581048 0.290524 0.956868i \(-0.406170\pi\)
0.290524 + 0.956868i \(0.406170\pi\)
\(164\) −0.887317 0.744547i −0.0692878 0.0581394i
\(165\) 0.978962 + 0.749615i 0.0762121 + 0.0583575i
\(166\) 0.685188 + 3.88589i 0.0531809 + 0.301604i
\(167\) −4.90671 1.78590i −0.379693 0.138197i 0.145121 0.989414i \(-0.453643\pi\)
−0.524814 + 0.851217i \(0.675865\pi\)
\(168\) 0.912831 + 4.09794i 0.0704264 + 0.316163i
\(169\) −1.59016 + 9.01824i −0.122320 + 0.693711i
\(170\) −4.83764 + 8.37904i −0.371030 + 0.642643i
\(171\) −1.30113 0.345823i −0.0994998 0.0264457i
\(172\) 2.40870 + 4.17199i 0.183662 + 0.318111i
\(173\) 7.36333 2.68003i 0.559823 0.203759i −0.0465824 0.998914i \(-0.514833\pi\)
0.606406 + 0.795155i \(0.292611\pi\)
\(174\) −5.68031 + 10.9387i −0.430623 + 0.829262i
\(175\) 3.09548 2.59742i 0.233996 0.196346i
\(176\) −2.61693 + 2.19586i −0.197258 + 0.165519i
\(177\) −9.52423 14.9168i −0.715885 1.12122i
\(178\) 7.80399 2.84042i 0.584934 0.212898i
\(179\) −7.47731 12.9511i −0.558880 0.968009i −0.997590 0.0693801i \(-0.977898\pi\)
0.438710 0.898629i \(-0.355435\pi\)
\(180\) 1.32288 0.118429i 0.0986017 0.00882715i
\(181\) −1.42758 + 2.47263i −0.106111 + 0.183789i −0.914192 0.405282i \(-0.867173\pi\)
0.808081 + 0.589072i \(0.200506\pi\)
\(182\) 0.533028 3.02295i 0.0395107 0.224076i
\(183\) −12.1183 + 11.1269i −0.895810 + 0.822524i
\(184\) −18.2671 6.64866i −1.34666 0.490146i
\(185\) −1.23763 7.01896i −0.0909926 0.516044i
\(186\) −11.7436 + 4.87826i −0.861085 + 0.357692i
\(187\) 3.51297 + 2.94773i 0.256894 + 0.215559i
\(188\) −2.60129 −0.189719
\(189\) −4.39082 2.77861i −0.319385 0.202114i
\(190\) 0.688219 0.0499287
\(191\) −14.0195 11.7637i −1.01441 0.851195i −0.0254991 0.999675i \(-0.508118\pi\)
−0.988915 + 0.148480i \(0.952562\pi\)
\(192\) 1.22643 9.38890i 0.0885101 0.677585i
\(193\) −4.49211 25.4760i −0.323349 1.83380i −0.521032 0.853537i \(-0.674453\pi\)
0.197683 0.980266i \(-0.436658\pi\)
\(194\) 18.7668 + 6.83054i 1.34737 + 0.490404i
\(195\) 3.17229 + 0.996701i 0.227173 + 0.0713752i
\(196\) 0.0784988 0.445189i 0.00560706 0.0317992i
\(197\) −5.21066 + 9.02513i −0.371244 + 0.643014i −0.989757 0.142761i \(-0.954402\pi\)
0.618513 + 0.785774i \(0.287735\pi\)
\(198\) 0.290740 3.40227i 0.0206620 0.241789i
\(199\) −10.2155 17.6938i −0.724159 1.25428i −0.959319 0.282324i \(-0.908895\pi\)
0.235160 0.971957i \(-0.424439\pi\)
\(200\) −9.20408 + 3.35001i −0.650827 + 0.236882i
\(201\) 5.53503 0.247263i 0.390411 0.0174406i
\(202\) −5.06355 + 4.24882i −0.356270 + 0.298946i
\(203\) −3.48127 + 2.92113i −0.244337 + 0.205023i
\(204\) 4.93490 0.220453i 0.345512 0.0154348i
\(205\) 2.35808 0.858270i 0.164695 0.0599442i
\(206\) 1.35250 + 2.34259i 0.0942329 + 0.163216i
\(207\) 21.7846 10.2119i 1.51413 0.709777i
\(208\) −4.60639 + 7.97849i −0.319395 + 0.553209i
\(209\) 0.0566440 0.321244i 0.00391815 0.0222209i
\(210\) 2.53410 + 0.796187i 0.174869 + 0.0549421i
\(211\) −0.534024 0.194369i −0.0367637 0.0133809i 0.323573 0.946203i \(-0.395116\pi\)
−0.360337 + 0.932822i \(0.617338\pi\)
\(212\) −0.344751 1.95518i −0.0236776 0.134282i
\(213\) −1.09888 + 8.41242i −0.0752939 + 0.576410i
\(214\) −3.77947 3.17135i −0.258359 0.216789i
\(215\) −10.4366 −0.711772
\(216\) 7.69764 + 9.96912i 0.523758 + 0.678312i
\(217\) −4.68860 −0.318283
\(218\) −11.1862 9.38632i −0.757624 0.635722i
\(219\) −10.6715 + 4.43290i −0.721113 + 0.299548i
\(220\) 0.0558812 + 0.316918i 0.00376751 + 0.0213666i
\(221\) 11.6214 + 4.22984i 0.781740 + 0.284530i
\(222\) −14.5390 + 13.3496i −0.975797 + 0.895967i
\(223\) 2.14869 12.1858i 0.143887 0.816022i −0.824368 0.566055i \(-0.808469\pi\)
0.968254 0.249967i \(-0.0804199\pi\)
\(224\) −1.25575 + 2.17503i −0.0839036 + 0.145325i
\(225\) 5.10104 10.9971i 0.340069 0.733141i
\(226\) 15.3389 + 26.5678i 1.02033 + 1.76726i
\(227\) 18.9731 6.90566i 1.25929 0.458344i 0.375760 0.926717i \(-0.377382\pi\)
0.883531 + 0.468373i \(0.155159\pi\)
\(228\) −0.189094 0.296159i −0.0125231 0.0196136i
\(229\) 22.0248 18.4810i 1.45544 1.22126i 0.526955 0.849893i \(-0.323334\pi\)
0.928486 0.371367i \(-0.121111\pi\)
\(230\) −9.42154 + 7.90561i −0.621238 + 0.521280i
\(231\) 0.580210 1.11733i 0.0381750 0.0735146i
\(232\) 10.3512 3.76752i 0.679588 0.247350i
\(233\) 1.56047 + 2.70282i 0.102230 + 0.177067i 0.912603 0.408847i \(-0.134069\pi\)
−0.810373 + 0.585914i \(0.800736\pi\)
\(234\) −2.40135 8.89015i −0.156981 0.581167i
\(235\) 2.81778 4.88053i 0.183811 0.318371i
\(236\) 0.802100 4.54893i 0.0522123 0.296110i
\(237\) −0.521482 2.34107i −0.0338739 0.152069i
\(238\) 9.28344 + 3.37890i 0.601756 + 0.219021i
\(239\) −0.350515 1.98787i −0.0226729 0.128585i 0.971370 0.237570i \(-0.0763509\pi\)
−0.994043 + 0.108985i \(0.965240\pi\)
\(240\) −6.32964 4.84676i −0.408577 0.312857i
\(241\) −0.692595 0.581157i −0.0446140 0.0374356i 0.620208 0.784437i \(-0.287048\pi\)
−0.664822 + 0.747002i \(0.731493\pi\)
\(242\) −16.3976 −1.05408
\(243\) −15.4652 1.95668i −0.992091 0.125521i
\(244\) −4.29383 −0.274884
\(245\) 0.750230 + 0.629518i 0.0479304 + 0.0402184i
\(246\) −5.51773 4.22506i −0.351798 0.269380i
\(247\) −0.152759 0.866338i −0.00971981 0.0551238i
\(248\) 10.6795 + 3.88700i 0.678146 + 0.246825i
\(249\) 0.948952 + 4.26009i 0.0601374 + 0.269972i
\(250\) −2.40761 + 13.6542i −0.152270 + 0.863569i
\(251\) −9.02472 + 15.6313i −0.569635 + 0.986637i 0.426966 + 0.904267i \(0.359582\pi\)
−0.996602 + 0.0823699i \(0.973751\pi\)
\(252\) −0.353646 1.30925i −0.0222776 0.0824749i
\(253\) 2.91470 + 5.04842i 0.183246 + 0.317391i
\(254\) −18.8303 + 6.85365i −1.18152 + 0.430036i
\(255\) −4.93198 + 9.49764i −0.308853 + 0.594765i
\(256\) 7.91848 6.64439i 0.494905 0.415274i
\(257\) −17.1201 + 14.3655i −1.06792 + 0.896093i −0.994863 0.101234i \(-0.967721\pi\)
−0.0730597 + 0.997328i \(0.523276\pi\)
\(258\) 15.5543 + 24.3610i 0.968367 + 1.51665i
\(259\) −6.83860 + 2.48905i −0.424930 + 0.154662i
\(260\) 0.433928 + 0.751585i 0.0269111 + 0.0466114i
\(261\) −5.73678 + 12.3677i −0.355098 + 0.765540i
\(262\) 13.8356 23.9640i 0.854768 1.48050i
\(263\) −1.91202 + 10.8436i −0.117900 + 0.668646i 0.867373 + 0.497659i \(0.165807\pi\)
−0.985273 + 0.170987i \(0.945304\pi\)
\(264\) −2.24787 + 2.06398i −0.138347 + 0.127029i
\(265\) 4.04174 + 1.47107i 0.248282 + 0.0903673i
\(266\) −0.122027 0.692051i −0.00748197 0.0424324i
\(267\) 8.48320 3.52389i 0.519163 0.215659i
\(268\) 1.10774 + 0.929507i 0.0676662 + 0.0567787i
\(269\) 22.2439 1.35623 0.678117 0.734954i \(-0.262796\pi\)
0.678117 + 0.734954i \(0.262796\pi\)
\(270\) 7.89734 1.06404i 0.480617 0.0647556i
\(271\) 32.5006 1.97427 0.987135 0.159890i \(-0.0511139\pi\)
0.987135 + 0.159890i \(0.0511139\pi\)
\(272\) −22.7137 19.0590i −1.37722 1.15562i
\(273\) 0.439775 3.36668i 0.0266164 0.203761i
\(274\) 3.44708 + 19.5493i 0.208245 + 1.18102i
\(275\) 2.76008 + 1.00459i 0.166439 + 0.0605789i
\(276\) 5.99064 + 1.88219i 0.360594 + 0.113295i
\(277\) −4.90865 + 27.8383i −0.294932 + 1.67264i 0.372546 + 0.928014i \(0.378485\pi\)
−0.667478 + 0.744629i \(0.732626\pi\)
\(278\) 15.0835 26.1254i 0.904649 1.56690i
\(279\) −12.7359 + 5.97018i −0.762479 + 0.357426i
\(280\) −1.18695 2.05585i −0.0709335 0.122861i
\(281\) −7.21769 + 2.62702i −0.430571 + 0.156715i −0.548209 0.836342i \(-0.684690\pi\)
0.117638 + 0.993057i \(0.462468\pi\)
\(282\) −15.5915 + 0.696510i −0.928463 + 0.0414766i
\(283\) 18.3648 15.4099i 1.09167 0.916024i 0.0948371 0.995493i \(-0.469767\pi\)
0.996837 + 0.0794692i \(0.0253225\pi\)
\(284\) −1.69622 + 1.42329i −0.100652 + 0.0844569i
\(285\) 0.760483 0.0339725i 0.0450471 0.00201236i
\(286\) 2.09666 0.763122i 0.123978 0.0451243i
\(287\) −1.28116 2.21903i −0.0756243 0.130985i
\(288\) −0.641523 + 7.50716i −0.0378021 + 0.442364i
\(289\) −11.4015 + 19.7480i −0.670676 + 1.16165i
\(290\) 1.21021 6.86342i 0.0710658 0.403034i
\(291\) 21.0744 + 6.62137i 1.23541 + 0.388152i
\(292\) −2.83406 1.03151i −0.165851 0.0603648i
\(293\) −2.01103 11.4051i −0.117486 0.666295i −0.985489 0.169737i \(-0.945708\pi\)
0.868004 0.496558i \(-0.165403\pi\)
\(294\) 0.351302 2.68938i 0.0204884 0.156848i
\(295\) 7.66584 + 6.43240i 0.446323 + 0.374509i
\(296\) 17.6401 1.02531
\(297\) 0.153322 3.77386i 0.00889667 0.218982i
\(298\) 28.4614 1.64872
\(299\) 12.0429 + 10.1052i 0.696459 + 0.584398i
\(300\) 2.92187 1.21373i 0.168694 0.0700750i
\(301\) 1.85050 + 10.4947i 0.106661 + 0.604906i
\(302\) −15.5890 5.67391i −0.897043 0.326497i
\(303\) −5.38549 + 4.94490i −0.309388 + 0.284077i
\(304\) −0.366241 + 2.07706i −0.0210054 + 0.119127i
\(305\) 4.65117 8.05607i 0.266325 0.461289i
\(306\) 29.5196 2.64269i 1.68753 0.151073i
\(307\) 1.28962 + 2.23369i 0.0736026 + 0.127483i 0.900478 0.434902i \(-0.143217\pi\)
−0.826875 + 0.562386i \(0.809884\pi\)
\(308\) 0.308774 0.112385i 0.0175940 0.00640370i
\(309\) 1.61015 + 2.52180i 0.0915980 + 0.143460i
\(310\) 5.50811 4.62185i 0.312839 0.262504i
\(311\) −21.4211 + 17.9744i −1.21468 + 1.01924i −0.215593 + 0.976483i \(0.569169\pi\)
−0.999086 + 0.0427535i \(0.986387\pi\)
\(312\) −3.79279 + 7.30386i −0.214724 + 0.413500i
\(313\) −22.6602 + 8.24764i −1.28083 + 0.466184i −0.890707 0.454579i \(-0.849790\pi\)
−0.390123 + 0.920763i \(0.627568\pi\)
\(314\) 12.7724 + 22.1224i 0.720787 + 1.24844i
\(315\) 2.83948 + 0.754697i 0.159987 + 0.0425223i
\(316\) 0.312991 0.542116i 0.0176071 0.0304964i
\(317\) −1.45181 + 8.23363i −0.0815418 + 0.462447i 0.916508 + 0.400017i \(0.130996\pi\)
−0.998049 + 0.0624293i \(0.980115\pi\)
\(318\) −2.58987 11.6266i −0.145232 0.651986i
\(319\) −3.10407 1.12979i −0.173795 0.0632561i
\(320\) 0.929691 + 5.27254i 0.0519713 + 0.294744i
\(321\) −4.33286 3.31778i −0.241837 0.185180i
\(322\) 9.62014 + 8.07226i 0.536110 + 0.449849i
\(323\) 2.83126 0.157535
\(324\) −2.62775 3.10607i −0.145986 0.172560i
\(325\) 7.92116 0.439387
\(326\) 8.89867 + 7.46687i 0.492852 + 0.413552i
\(327\) −12.8241 9.81971i −0.709173 0.543031i
\(328\) 1.07851 + 6.11651i 0.0595505 + 0.337728i
\(329\) −5.40732 1.96810i −0.298115 0.108505i
\(330\) 0.419795 + 1.88457i 0.0231090 + 0.103742i
\(331\) 5.57815 31.6353i 0.306603 1.73883i −0.309258 0.950978i \(-0.600081\pi\)
0.615861 0.787855i \(-0.288808\pi\)
\(332\) −0.569557 + 0.986501i −0.0312585 + 0.0541413i
\(333\) −15.4067 + 15.4690i −0.844281 + 0.847696i
\(334\) −4.08828 7.08110i −0.223700 0.387461i
\(335\) −2.94387 + 1.07148i −0.160841 + 0.0585413i
\(336\) −3.75144 + 7.22425i −0.204658 + 0.394115i
\(337\) 13.6361 11.4420i 0.742805 0.623287i −0.190785 0.981632i \(-0.561103\pi\)
0.933589 + 0.358345i \(0.116659\pi\)
\(338\) −10.9847 + 9.21729i −0.597491 + 0.501354i
\(339\) 18.2610 + 28.6003i 0.991801 + 1.55335i
\(340\) −2.62468 + 0.955306i −0.142343 + 0.0518087i
\(341\) −1.70402 2.95145i −0.0922780 0.159830i
\(342\) −1.21269 1.72448i −0.0655746 0.0932490i
\(343\) 0.500000 0.866025i 0.0269975 0.0467610i
\(344\) 4.48550 25.4385i 0.241842 1.37155i
\(345\) −10.0206 + 9.20078i −0.539489 + 0.495353i
\(346\) 11.5303 + 4.19667i 0.619871 + 0.225615i
\(347\) −1.20000 6.80552i −0.0644192 0.365340i −0.999928 0.0120350i \(-0.996169\pi\)
0.935508 0.353305i \(-0.114942\pi\)
\(348\) −3.28602 + 1.36500i −0.176149 + 0.0731718i
\(349\) −18.2531 15.3162i −0.977068 0.819857i 0.00657681 0.999978i \(-0.497907\pi\)
−0.983644 + 0.180121i \(0.942351\pi\)
\(350\) 6.32761 0.338225
\(351\) −3.09234 9.70508i −0.165057 0.518019i
\(352\) −1.82556 −0.0973028
\(353\) −9.36822 7.86087i −0.498620 0.418392i 0.358484 0.933536i \(-0.383294\pi\)
−0.857104 + 0.515144i \(0.827738\pi\)
\(354\) 3.58960 27.4800i 0.190785 1.46055i
\(355\) −0.833000 4.72418i −0.0442110 0.250733i
\(356\) 2.25291 + 0.819993i 0.119404 + 0.0434595i
\(357\) 10.4250 + 3.27542i 0.551749 + 0.173354i
\(358\) 4.06640 23.0617i 0.214916 1.21885i
\(359\) −9.82611 + 17.0193i −0.518602 + 0.898245i 0.481164 + 0.876630i \(0.340214\pi\)
−0.999766 + 0.0216147i \(0.993119\pi\)
\(360\) −5.84197 4.07304i −0.307899 0.214668i
\(361\) 9.39930 + 16.2801i 0.494700 + 0.856846i
\(362\) −4.20126 + 1.52914i −0.220814 + 0.0803696i
\(363\) −18.1194 + 0.809433i −0.951019 + 0.0424842i
\(364\) 0.678831 0.569606i 0.0355804 0.0298555i
\(365\) 5.00525 4.19990i 0.261986 0.219833i
\(366\) −25.7362 + 1.14970i −1.34525 + 0.0600956i
\(367\) −1.06249 + 0.386714i −0.0554614 + 0.0201863i −0.369602 0.929190i \(-0.620506\pi\)
0.314140 + 0.949377i \(0.398284\pi\)
\(368\) −18.8455 32.6414i −0.982390 1.70155i
\(369\) −6.30566 4.39633i −0.328259 0.228864i
\(370\) 5.58029 9.66534i 0.290105 0.502477i
\(371\) 0.762627 4.32507i 0.0395936 0.224547i
\(372\) −3.50230 1.10039i −0.181586 0.0570524i
\(373\) −23.3943 8.51484i −1.21131 0.440882i −0.344153 0.938913i \(-0.611834\pi\)
−0.867159 + 0.498032i \(0.834056\pi\)
\(374\) 1.24697 + 7.07191i 0.0644792 + 0.365680i
\(375\) −1.98640 + 15.2068i −0.102577 + 0.785274i
\(376\) 10.6849 + 8.96570i 0.551032 + 0.462371i
\(377\) −8.90837 −0.458805
\(378\) −2.47023 7.75264i −0.127055 0.398753i
\(379\) −13.0914 −0.672461 −0.336231 0.941780i \(-0.609152\pi\)
−0.336231 + 0.941780i \(0.609152\pi\)
\(380\) 0.152198 + 0.127709i 0.00780758 + 0.00655134i
\(381\) −20.4691 + 8.50281i −1.04867 + 0.435612i
\(382\) −4.97638 28.2225i −0.254614 1.44399i
\(383\) −15.0446 5.47578i −0.768742 0.279799i −0.0722716 0.997385i \(-0.523025\pi\)
−0.696470 + 0.717586i \(0.745247\pi\)
\(384\) 17.3300 15.9122i 0.884366 0.812016i
\(385\) −0.123615 + 0.701058i −0.00630003 + 0.0357292i
\(386\) 20.2542 35.0813i 1.03091 1.78559i
\(387\) 18.3900 + 26.1511i 0.934817 + 1.32934i
\(388\) 2.88271 + 4.99300i 0.146347 + 0.253481i
\(389\) 2.19967 0.800616i 0.111528 0.0405928i −0.285653 0.958333i \(-0.592211\pi\)
0.397181 + 0.917740i \(0.369988\pi\)
\(390\) 2.80211 + 4.38865i 0.141890 + 0.222228i
\(391\) −38.7591 + 32.5228i −1.96013 + 1.64475i
\(392\) −1.85684 + 1.55807i −0.0937845 + 0.0786946i
\(393\) 14.1054 27.1632i 0.711525 1.37020i
\(394\) −15.3346 + 5.58135i −0.772548 + 0.281185i
\(395\) 0.678078 + 1.17446i 0.0341178 + 0.0590937i
\(396\) 0.695637 0.698451i 0.0349571 0.0350985i
\(397\) 0.369463 0.639929i 0.0185428 0.0321171i −0.856605 0.515973i \(-0.827431\pi\)
0.875148 + 0.483855i \(0.160764\pi\)
\(398\) 5.55554 31.5070i 0.278474 1.57930i
\(399\) −0.169002 0.758693i −0.00846067 0.0379822i
\(400\) −17.8458 6.49533i −0.892289 0.324767i
\(401\) −1.54807 8.77956i −0.0773071 0.438430i −0.998753 0.0499237i \(-0.984102\pi\)
0.921446 0.388507i \(-0.127009\pi\)
\(402\) 6.88844 + 5.27465i 0.343564 + 0.263076i
\(403\) −7.04063 5.90779i −0.350719 0.294288i
\(404\) −1.90822 −0.0949375
\(405\) 8.67404 1.56560i 0.431017 0.0777955i
\(406\) −7.11621 −0.353172
\(407\) −4.05226 3.40025i −0.200863 0.168544i
\(408\) −21.0301 16.1033i −1.04115 0.797231i
\(409\) −2.61102 14.8078i −0.129107 0.732200i −0.978784 0.204896i \(-0.934314\pi\)
0.849677 0.527303i \(-0.176797\pi\)
\(410\) 3.69252 + 1.34397i 0.182361 + 0.0663739i
\(411\) 4.77403 + 21.4319i 0.235486 + 1.05716i
\(412\) −0.135601 + 0.769033i −0.00668059 + 0.0378875i
\(413\) 5.10900 8.84904i 0.251397 0.435433i
\(414\) 36.4105 + 9.67742i 1.78948 + 0.475619i
\(415\) −1.23391 2.13720i −0.0605704 0.104911i
\(416\) −4.62631 + 1.68384i −0.226824 + 0.0825571i
\(417\) 15.3777 29.6132i 0.753047 1.45016i
\(418\) 0.391294 0.328334i 0.0191388 0.0160594i
\(419\) −21.2927 + 17.8667i −1.04022 + 0.872847i −0.992031 0.125992i \(-0.959789\pi\)
−0.0481868 + 0.998838i \(0.515344\pi\)
\(420\) 0.412665 + 0.646313i 0.0201360 + 0.0315369i
\(421\) −24.3032 + 8.84564i −1.18446 + 0.431110i −0.857777 0.514022i \(-0.828155\pi\)
−0.326688 + 0.945132i \(0.605933\pi\)
\(422\) −0.444949 0.770675i −0.0216598 0.0375159i
\(423\) −17.1943 + 1.53929i −0.836015 + 0.0748427i
\(424\) −5.32271 + 9.21920i −0.258493 + 0.447724i
\(425\) −4.42693 + 25.1063i −0.214737 + 1.21784i
\(426\) −9.78563 + 8.98507i −0.474116 + 0.435328i
\(427\) −8.92561 3.24866i −0.431941 0.157214i
\(428\) −0.247328 1.40267i −0.0119551 0.0678006i
\(429\) 2.27914 0.946747i 0.110038 0.0457094i
\(430\) −12.5193 10.5049i −0.603733 0.506592i
\(431\) 17.3969 0.837980 0.418990 0.907991i \(-0.362384\pi\)
0.418990 + 0.907991i \(0.362384\pi\)
\(432\) −0.991331 + 24.4005i −0.0476954 + 1.17397i
\(433\) −0.427916 −0.0205643 −0.0102822 0.999947i \(-0.503273\pi\)
−0.0102822 + 0.999947i \(0.503273\pi\)
\(434\) −5.62422 4.71928i −0.269971 0.226533i
\(435\) 0.998480 7.64382i 0.0478735 0.366493i
\(436\) −0.732024 4.15152i −0.0350576 0.198822i
\(437\) 3.38197 + 1.23094i 0.161781 + 0.0588836i
\(438\) −17.2629 5.42383i −0.824854 0.259161i
\(439\) 3.65596 20.7340i 0.174489 0.989578i −0.764242 0.644929i \(-0.776887\pi\)
0.938732 0.344649i \(-0.112002\pi\)
\(440\) 0.862766 1.49435i 0.0411307 0.0712405i
\(441\) 0.255434 2.98911i 0.0121635 0.142338i
\(442\) 9.68296 + 16.7714i 0.460571 + 0.797733i
\(443\) 19.2602 7.01013i 0.915078 0.333061i 0.158799 0.987311i \(-0.449238\pi\)
0.756279 + 0.654250i \(0.227015\pi\)
\(444\) −5.69248 + 0.254296i −0.270153 + 0.0120684i
\(445\) −3.97887 + 3.33867i −0.188617 + 0.158268i
\(446\) 14.8430 12.4548i 0.702837 0.589750i
\(447\) 31.4499 1.40494i 1.48753 0.0664512i
\(448\) 5.13705 1.86973i 0.242703 0.0883366i
\(449\) 16.8776 + 29.2329i 0.796504 + 1.37958i 0.921880 + 0.387476i \(0.126653\pi\)
−0.125376 + 0.992109i \(0.540014\pi\)
\(450\) 17.1880 8.05720i 0.810252 0.379820i
\(451\) 0.931246 1.61296i 0.0438506 0.0759515i
\(452\) −1.53788 + 8.72176i −0.0723359 + 0.410237i
\(453\) −17.5059 5.50016i −0.822498 0.258420i
\(454\) 29.7101 + 10.8136i 1.39436 + 0.507507i
\(455\) 0.333369 + 1.89063i 0.0156286 + 0.0886341i
\(456\) −0.244038 + 1.86822i −0.0114281 + 0.0874875i
\(457\) 3.42726 + 2.87581i 0.160320 + 0.134525i 0.719419 0.694576i \(-0.244408\pi\)
−0.559098 + 0.829101i \(0.688853\pi\)
\(458\) 45.0219 2.10373
\(459\) 32.4888 4.37735i 1.51645 0.204317i
\(460\) −3.55055 −0.165545
\(461\) −3.84214 3.22393i −0.178946 0.150154i 0.548915 0.835878i \(-0.315041\pi\)
−0.727861 + 0.685725i \(0.759485\pi\)
\(462\) 1.82063 0.756283i 0.0847034 0.0351855i
\(463\) 2.88484 + 16.3608i 0.134070 + 0.760349i 0.975503 + 0.219987i \(0.0706015\pi\)
−0.841433 + 0.540362i \(0.818287\pi\)
\(464\) 20.0699 + 7.30484i 0.931721 + 0.339119i
\(465\) 5.85831 5.37904i 0.271673 0.249447i
\(466\) −0.848636 + 4.81285i −0.0393123 + 0.222951i
\(467\) 14.1524 24.5127i 0.654896 1.13431i −0.327024 0.945016i \(-0.606046\pi\)
0.981920 0.189297i \(-0.0606208\pi\)
\(468\) 1.11864 2.41164i 0.0517093 0.111478i
\(469\) 1.59942 + 2.77028i 0.0738544 + 0.127920i
\(470\) 8.29254 3.01824i 0.382506 0.139221i
\(471\) 15.2055 + 23.8148i 0.700633 + 1.09733i
\(472\) −18.9732 + 15.9204i −0.873311 + 0.732795i
\(473\) −5.93384 + 4.97909i −0.272838 + 0.228939i
\(474\) 1.73084 3.33313i 0.0795002 0.153096i
\(475\) 1.70405 0.620222i 0.0781870 0.0284577i
\(476\) 1.42600 + 2.46991i 0.0653608 + 0.113208i
\(477\) −3.43573 12.7195i −0.157311 0.582388i
\(478\) 1.58042 2.73736i 0.0722866 0.125204i
\(479\) −0.215257 + 1.22078i −0.00983534 + 0.0557790i −0.989330 0.145689i \(-0.953460\pi\)
0.979495 + 0.201468i \(0.0645712\pi\)
\(480\) −0.926286 4.15834i −0.0422790 0.189801i
\(481\) −13.4055 4.87919i −0.611236 0.222472i
\(482\) −0.245845 1.39426i −0.0111979 0.0635066i
\(483\) 11.0287 + 8.44497i 0.501825 + 0.384259i
\(484\) −3.62628 3.04281i −0.164831 0.138310i
\(485\) −12.4905 −0.567163
\(486\) −16.5818 17.9135i −0.752166 0.812573i
\(487\) 31.9704 1.44872 0.724358 0.689424i \(-0.242136\pi\)
0.724358 + 0.689424i \(0.242136\pi\)
\(488\) 17.6371 + 14.7993i 0.798393 + 0.669931i
\(489\) 10.2016 + 7.81163i 0.461333 + 0.353254i
\(490\) 0.266303 + 1.51028i 0.0120303 + 0.0682274i
\(491\) −22.9441 8.35097i −1.03545 0.376874i −0.232298 0.972645i \(-0.574624\pi\)
−0.803155 + 0.595771i \(0.796847\pi\)
\(492\) −0.436209 1.95826i −0.0196658 0.0882850i
\(493\) 4.97865 28.2353i 0.224227 1.27166i
\(494\) 0.688765 1.19298i 0.0309890 0.0536746i
\(495\) 0.556902 + 2.06173i 0.0250309 + 0.0926679i
\(496\) 11.0176 + 19.0831i 0.494706 + 0.856857i
\(497\) −4.60278 + 1.67527i −0.206463 + 0.0751463i
\(498\) −3.14965 + 6.06537i −0.141139 + 0.271796i
\(499\) 8.94157 7.50287i 0.400280 0.335875i −0.420322 0.907375i \(-0.638083\pi\)
0.820602 + 0.571500i \(0.193638\pi\)
\(500\) −3.06617 + 2.57283i −0.137123 + 0.115060i
\(501\) −4.86709 7.62281i −0.217446 0.340562i
\(502\) −26.5592 + 9.66675i −1.18539 + 0.431448i
\(503\) −1.09739 1.90074i −0.0489303 0.0847498i 0.840523 0.541776i \(-0.182248\pi\)
−0.889453 + 0.457026i \(0.848915\pi\)
\(504\) −3.05988 + 6.59667i −0.136298 + 0.293839i
\(505\) 2.06703 3.58020i 0.0919815 0.159317i
\(506\) −1.58511 + 8.98962i −0.0704668 + 0.399637i
\(507\) −11.6831 + 10.7273i −0.518867 + 0.476418i
\(508\) −5.43605 1.97856i −0.241186 0.0877845i
\(509\) 7.22401 + 40.9694i 0.320199 + 1.81594i 0.541466 + 0.840723i \(0.317870\pi\)
−0.221267 + 0.975213i \(0.571019\pi\)
\(510\) −15.4760 + 6.42866i −0.685287 + 0.284666i
\(511\) −5.11075 4.28843i −0.226086 0.189709i
\(512\) −10.9803 −0.485265
\(513\) −1.42514 1.84569i −0.0629217 0.0814890i
\(514\) −34.9959 −1.54360
\(515\) −1.29597 1.08745i −0.0571073 0.0479187i
\(516\) −1.08076 + 8.27369i −0.0475777 + 0.364229i
\(517\) −0.726321 4.11917i −0.0319436 0.181161i
\(518\) −10.7086 3.89761i −0.470508 0.171251i
\(519\) 12.9481 + 4.06816i 0.568359 + 0.178572i
\(520\) 0.808064 4.58276i 0.0354359 0.200967i
\(521\) −5.84124 + 10.1173i −0.255909 + 0.443248i −0.965142 0.261726i \(-0.915708\pi\)
0.709233 + 0.704974i \(0.249042\pi\)
\(522\) −19.3302 + 9.06137i −0.846059 + 0.396605i
\(523\) 8.11689 + 14.0589i 0.354927 + 0.614751i 0.987105 0.160072i \(-0.0511725\pi\)
−0.632179 + 0.774823i \(0.717839\pi\)
\(524\) 7.50658 2.73217i 0.327926 0.119355i
\(525\) 6.99201 0.312349i 0.305156 0.0136320i
\(526\) −13.2082 + 11.0830i −0.575903 + 0.483240i
\(527\) 22.6597 19.0138i 0.987073 0.828253i
\(528\) −5.91106 + 0.264061i −0.257246 + 0.0114918i
\(529\) −38.8251 + 14.1312i −1.68805 + 0.614399i
\(530\) 3.36758 + 5.83282i 0.146278 + 0.253361i
\(531\) 2.61002 30.5427i 0.113265 1.32544i
\(532\) 0.101434 0.175689i 0.00439773 0.00761709i
\(533\) 0.872202 4.94650i 0.0377793 0.214257i
\(534\) 13.7230 + 4.31162i 0.593852 + 0.186582i
\(535\) 2.89960 + 1.05537i 0.125360 + 0.0456275i
\(536\) −1.34643 7.63597i −0.0581568 0.329824i
\(537\) 3.35499 25.6839i 0.144778 1.10834i
\(538\) 26.6827 + 22.3895i 1.15037 + 0.965278i
\(539\) 0.726879 0.0313089
\(540\) 1.94392 + 1.23016i 0.0836531 + 0.0529375i
\(541\) 26.8946 1.15629 0.578145 0.815934i \(-0.303777\pi\)
0.578145 + 0.815934i \(0.303777\pi\)
\(542\) 38.9861 + 32.7133i 1.67460 + 1.40515i
\(543\) −4.56692 + 1.89708i −0.195985 + 0.0814116i
\(544\) −2.75146 15.6043i −0.117968 0.669028i
\(545\) 8.58201 + 3.12359i 0.367613 + 0.133800i
\(546\) 3.91624 3.59585i 0.167600 0.153888i
\(547\) −4.56872 + 25.9105i −0.195344 + 1.10785i 0.716584 + 0.697501i \(0.245705\pi\)
−0.911928 + 0.410351i \(0.865406\pi\)
\(548\) −2.86535 + 4.96294i −0.122402 + 0.212006i
\(549\) −28.3818 + 2.54083i −1.21131 + 0.108440i
\(550\) 2.29970 + 3.98320i 0.0980596 + 0.169844i
\(551\) −1.91642 + 0.697520i −0.0816423 + 0.0297154i
\(552\) −18.1195 28.3787i −0.771219 1.20788i
\(553\) 1.06077 0.890095i 0.0451087 0.0378507i
\(554\) −33.9087 + 28.4528i −1.44064 + 1.20884i
\(555\) 5.68911 10.9557i 0.241489 0.465042i
\(556\) 8.18362 2.97860i 0.347063 0.126321i
\(557\) −6.80281 11.7828i −0.288244 0.499254i 0.685147 0.728405i \(-0.259738\pi\)
−0.973391 + 0.229152i \(0.926405\pi\)
\(558\) −21.2866 5.65771i −0.901135 0.239510i
\(559\) −10.4449 + 18.0911i −0.441773 + 0.765173i
\(560\) 0.799256 4.53281i 0.0337747 0.191546i
\(561\) 1.72699 + 7.75291i 0.0729136 + 0.327328i
\(562\) −11.3022 4.11367i −0.476755 0.173525i
\(563\) −0.0466334 0.264471i −0.00196536 0.0111461i 0.983809 0.179218i \(-0.0573569\pi\)
−0.985775 + 0.168072i \(0.946246\pi\)
\(564\) −3.57727 2.73921i −0.150630 0.115341i
\(565\) −14.6979 12.3330i −0.618344 0.518852i
\(566\) 37.5403 1.57794
\(567\) −3.11230 8.44474i −0.130704 0.354646i
\(568\) 11.8728 0.498173
\(569\) −3.65515 3.06704i −0.153232 0.128577i 0.562949 0.826492i \(-0.309667\pi\)
−0.716181 + 0.697915i \(0.754111\pi\)
\(570\) 0.946434 + 0.724708i 0.0396417 + 0.0303547i
\(571\) −2.71235 15.3825i −0.113508 0.643739i −0.987478 0.157758i \(-0.949574\pi\)
0.873969 0.485981i \(-0.161538\pi\)
\(572\) 0.605279 + 0.220303i 0.0253080 + 0.00921135i
\(573\) −6.89205 30.9402i −0.287919 1.29254i
\(574\) 0.696735 3.95138i 0.0290811 0.164927i
\(575\) −16.2034 + 28.0651i −0.675729 + 1.17040i
\(576\) 11.5733 11.6201i 0.482219 0.484170i
\(577\) −1.33193 2.30698i −0.0554491 0.0960406i 0.836968 0.547251i \(-0.184326\pi\)
−0.892418 + 0.451210i \(0.850992\pi\)
\(578\) −33.5539 + 12.2126i −1.39566 + 0.507978i
\(579\) 20.6492 39.7647i 0.858151 1.65256i
\(580\) 1.54124 1.29325i 0.0639966 0.0536995i
\(581\) −1.93032 + 1.61973i −0.0800830 + 0.0671976i
\(582\) 18.6152 + 29.1550i 0.771625 + 1.20852i
\(583\) 2.99978 1.09183i 0.124238 0.0452191i
\(584\) 8.08577 + 14.0050i 0.334592 + 0.579530i
\(585\) 3.31297 + 4.71114i 0.136974 + 0.194782i
\(586\) 9.06743 15.7053i 0.374572 0.648778i
\(587\) −0.469216 + 2.66106i −0.0193666 + 0.109834i −0.992959 0.118461i \(-0.962204\pi\)
0.973592 + 0.228295i \(0.0733150\pi\)
\(588\) 0.576743 0.529559i 0.0237845 0.0218387i
\(589\) −1.97720 0.719641i −0.0814690 0.0296523i
\(590\) 2.72108 + 15.4320i 0.112025 + 0.635326i
\(591\) −16.6693 + 6.92436i −0.685682 + 0.284830i
\(592\) 26.2006 + 21.9849i 1.07684 + 0.903573i
\(593\) −37.7214 −1.54903 −0.774515 0.632555i \(-0.782006\pi\)
−0.774515 + 0.632555i \(0.782006\pi\)
\(594\) 3.98248 4.37262i 0.163403 0.179411i
\(595\) −6.17872 −0.253303
\(596\) 6.29416 + 5.28143i 0.257819 + 0.216336i
\(597\) 4.58359 35.0895i 0.187594 1.43612i
\(598\) 4.27477 + 24.2434i 0.174808 + 0.991387i
\(599\) 20.3767 + 7.41650i 0.832568 + 0.303030i 0.722912 0.690940i \(-0.242803\pi\)
0.109656 + 0.993970i \(0.465025\pi\)
\(600\) −16.1850 5.08515i −0.660750 0.207601i
\(601\) 4.66800 26.4735i 0.190412 1.07988i −0.728392 0.685161i \(-0.759732\pi\)
0.918803 0.394716i \(-0.129157\pi\)
\(602\) −8.34363 + 14.4516i −0.340061 + 0.589003i
\(603\) 7.87211 + 5.48846i 0.320577 + 0.223507i
\(604\) −2.39458 4.14753i −0.0974339 0.168760i
\(605\) 9.63698 3.50758i 0.391799 0.142603i
\(606\) −11.4374 + 0.510937i −0.464614 + 0.0207554i
\(607\) 2.02286 1.69738i 0.0821054 0.0688946i −0.600811 0.799391i \(-0.705156\pi\)
0.682917 + 0.730496i \(0.260711\pi\)
\(608\) −0.863396 + 0.724475i −0.0350153 + 0.0293813i
\(609\) −7.86342 + 0.351277i −0.318642 + 0.0142345i
\(610\) 13.6881 4.98206i 0.554215 0.201718i
\(611\) −5.64003 9.76881i −0.228171 0.395204i
\(612\) 7.01857 + 4.89337i 0.283709 + 0.197803i
\(613\) −14.9858 + 25.9562i −0.605272 + 1.04836i 0.386736 + 0.922190i \(0.373602\pi\)
−0.992008 + 0.126172i \(0.959731\pi\)
\(614\) −0.701339 + 3.97749i −0.0283037 + 0.160518i
\(615\) 4.14658 + 1.30281i 0.167206 + 0.0525345i
\(616\) −1.65565 0.602607i −0.0667080 0.0242797i
\(617\) 3.23384 + 18.3400i 0.130189 + 0.738341i 0.978089 + 0.208185i \(0.0667556\pi\)
−0.847900 + 0.530156i \(0.822133\pi\)
\(618\) −0.606850 + 4.64572i −0.0244111 + 0.186878i
\(619\) 23.5182 + 19.7341i 0.945277 + 0.793182i 0.978496 0.206266i \(-0.0661313\pi\)
−0.0332186 + 0.999448i \(0.510576\pi\)
\(620\) 2.07575 0.0833643
\(621\) 40.7113 + 8.89623i 1.63369 + 0.356993i
\(622\) −43.7878 −1.75573
\(623\) 4.06275 + 3.40905i 0.162770 + 0.136581i
\(624\) −14.7362 + 6.12135i −0.589919 + 0.245050i
\(625\) 2.00267 + 11.3577i 0.0801066 + 0.454307i
\(626\) −35.4837 12.9150i −1.41821 0.516188i
\(627\) 0.416172 0.382125i 0.0166203 0.0152606i
\(628\) −1.28056 + 7.26241i −0.0510999 + 0.289802i
\(629\) 22.9567 39.7621i 0.915343 1.58542i
\(630\) 2.64647 + 3.76336i 0.105438 + 0.149936i
\(631\) −15.5851 26.9942i −0.620433 1.07462i −0.989405 0.145181i \(-0.953624\pi\)
0.368972 0.929440i \(-0.379710\pi\)
\(632\) −3.15410 + 1.14800i −0.125463 + 0.0456649i
\(633\) −0.529712 0.829632i −0.0210542 0.0329749i
\(634\) −10.0290 + 8.41536i −0.398304 + 0.334217i
\(635\) 9.60063 8.05588i 0.380989 0.319688i
\(636\) 1.58474 3.05177i 0.0628390 0.121011i
\(637\) 1.84205 0.670450i 0.0729845 0.0265642i
\(638\) −2.58631 4.47963i −0.102393 0.177350i
\(639\) −10.3696 + 10.4116i −0.410215 + 0.411875i
\(640\) −6.65149 + 11.5207i −0.262923 + 0.455396i
\(641\) −4.28900 + 24.3241i −0.169405 + 0.960745i 0.775000 + 0.631961i \(0.217750\pi\)
−0.944405 + 0.328784i \(0.893361\pi\)
\(642\) −1.85800 8.34106i −0.0733295 0.329195i
\(643\) 40.4555 + 14.7246i 1.59541 + 0.580681i 0.978481 0.206338i \(-0.0661546\pi\)
0.616928 + 0.787019i \(0.288377\pi\)
\(644\) 0.629543 + 3.57031i 0.0248075 + 0.140690i
\(645\) −14.3524 10.9900i −0.565124 0.432729i
\(646\) 3.39624 + 2.84978i 0.133623 + 0.112123i
\(647\) −34.3855 −1.35183 −0.675916 0.736979i \(-0.736252\pi\)
−0.675916 + 0.736979i \(0.736252\pi\)
\(648\) 0.0880790 + 21.8152i 0.00346007 + 0.856982i
\(649\) 7.42725 0.291545
\(650\) 9.50185 + 7.97300i 0.372693 + 0.312727i
\(651\) −6.44772 4.93718i −0.252706 0.193503i
\(652\) 0.582330 + 3.30255i 0.0228058 + 0.129338i
\(653\) 7.64562 + 2.78278i 0.299196 + 0.108899i 0.487256 0.873259i \(-0.337998\pi\)
−0.188060 + 0.982158i \(0.560220\pi\)
\(654\) −5.49918 24.6872i −0.215035 0.965348i
\(655\) −3.00520 + 17.0434i −0.117423 + 0.665939i
\(656\) −6.02112 + 10.4289i −0.235085 + 0.407180i
\(657\) −19.3433 5.14119i −0.754653 0.200577i
\(658\) −4.50538 7.80355i −0.175638 0.304214i
\(659\) 1.50161 0.546540i 0.0584942 0.0212902i −0.312607 0.949882i \(-0.601202\pi\)
0.371102 + 0.928592i \(0.378980\pi\)
\(660\) −0.256873 + 0.494667i −0.00999876 + 0.0192549i
\(661\) 11.2291 9.42232i 0.436761 0.366486i −0.397735 0.917500i \(-0.630204\pi\)
0.834496 + 0.551015i \(0.185759\pi\)
\(662\) 38.5336 32.3335i 1.49765 1.25668i
\(663\) 11.5276 + 18.0544i 0.447693 + 0.701175i
\(664\) 5.73959 2.08904i 0.222739 0.0810704i
\(665\) 0.219751 + 0.380621i 0.00852159 + 0.0147598i
\(666\) −34.0513 + 3.04839i −1.31946 + 0.118123i
\(667\) 18.2228 31.5629i 0.705591 1.22212i
\(668\) 0.409890 2.32460i 0.0158591 0.0899416i
\(669\) 15.7867 14.4952i 0.610351 0.560418i
\(670\) −4.60982 1.67784i −0.178093 0.0648205i
\(671\) −1.19890 6.79932i −0.0462832 0.262485i
\(672\) −4.01725 + 1.66875i −0.154969 + 0.0643735i
\(673\) −11.3078 9.48840i −0.435885 0.365751i 0.398282 0.917263i \(-0.369607\pi\)
−0.834167 + 0.551512i \(0.814051\pi\)
\(674\) 27.8741 1.07367
\(675\) 18.5951 9.75166i 0.715725 0.375342i
\(676\) −4.13964 −0.159217
\(677\) −22.3441 18.7490i −0.858755 0.720581i 0.102944 0.994687i \(-0.467174\pi\)
−0.961700 + 0.274106i \(0.911618\pi\)
\(678\) −6.88241 + 52.6880i −0.264317 + 2.02347i
\(679\) 2.21467 + 12.5600i 0.0849911 + 0.482009i
\(680\) 14.0736 + 5.12236i 0.539697 + 0.196434i
\(681\) 33.3635 + 10.4825i 1.27849 + 0.401688i
\(682\) 0.926703 5.25559i 0.0354853 0.201247i
\(683\) −22.3639 + 38.7354i −0.855730 + 1.48217i 0.0202366 + 0.999795i \(0.493558\pi\)
−0.875966 + 0.482372i \(0.839775\pi\)
\(684\) 0.0518193 0.606395i 0.00198136 0.0231861i
\(685\) −6.20763 10.7519i −0.237181 0.410810i
\(686\) 1.47147 0.535571i 0.0561809 0.0204482i
\(687\) 49.7492 2.22241i 1.89805 0.0847902i
\(688\) 38.3663 32.1931i 1.46270 1.22735i
\(689\) 6.59494 5.53381i 0.251247 0.210821i
\(690\) −21.2812 + 0.950678i −0.810160 + 0.0361917i
\(691\) 12.3775 4.50502i 0.470860 0.171379i −0.0956817 0.995412i \(-0.530503\pi\)
0.566542 + 0.824033i \(0.308281\pi\)
\(692\) 1.77113 + 3.06769i 0.0673283 + 0.116616i
\(693\) 1.97446 0.925565i 0.0750037 0.0351593i
\(694\) 5.41060 9.37143i 0.205383 0.355735i
\(695\) −3.27626 + 18.5806i −0.124275 + 0.704801i
\(696\) 18.2021 + 5.71892i 0.689950 + 0.216775i
\(697\) 15.1906 + 5.52894i 0.575386 + 0.209423i
\(698\) −6.47916 36.7452i −0.245240 1.39082i
\(699\) −0.700167 + 5.36010i −0.0264827 + 0.202738i
\(700\) 1.39933 + 1.17418i 0.0528898 + 0.0443798i
\(701\) −24.0195 −0.907203 −0.453602 0.891205i \(-0.649861\pi\)
−0.453602 + 0.891205i \(0.649861\pi\)
\(702\) 6.05917 14.7543i 0.228689 0.556866i
\(703\) −3.26590 −0.123176
\(704\) 3.04400 + 2.55422i 0.114725 + 0.0962657i
\(705\) 9.01427 3.74450i 0.339497 0.141026i
\(706\) −3.32536 18.8590i −0.125152 0.709770i
\(707\) −3.96663 1.44374i −0.149180 0.0542972i
\(708\) 5.89315 5.41103i 0.221478 0.203359i
\(709\) 1.37808 7.81547i 0.0517548 0.293516i −0.947934 0.318467i \(-0.896832\pi\)
0.999689 + 0.0249511i \(0.00794302\pi\)
\(710\) 3.75586 6.50535i 0.140955 0.244141i
\(711\) 1.74805 3.76855i 0.0655569 0.141331i
\(712\) −6.42771 11.1331i −0.240888 0.417231i
\(713\) 35.3339 12.8605i 1.32326 0.481628i
\(714\) 9.20847 + 14.4223i 0.344618 + 0.539740i
\(715\) −1.06898 + 0.896984i −0.0399777 + 0.0335453i
\(716\) 5.17871 4.34545i 0.193538 0.162397i
\(717\) 1.61124 3.10280i 0.0601728 0.115876i
\(718\) −28.9176 + 10.5252i −1.07920 + 0.392795i
\(719\) 13.0626 + 22.6251i 0.487153 + 0.843773i 0.999891 0.0147716i \(-0.00470212\pi\)
−0.512738 + 0.858545i \(0.671369\pi\)
\(720\) −3.60074 13.3305i −0.134192 0.496797i
\(721\) −0.863716 + 1.49600i −0.0321665 + 0.0557139i
\(722\) −5.11165 + 28.9896i −0.190236 + 1.07888i
\(723\) −0.340483 1.52852i −0.0126627 0.0568462i
\(724\) −1.21285 0.441442i −0.0450753 0.0164060i
\(725\) −3.18881 18.0846i −0.118429 0.671646i
\(726\) −22.5498 17.2670i −0.836903 0.640837i
\(727\) 29.2849 + 24.5730i 1.08612 + 0.911361i 0.996414 0.0846071i \(-0.0269635\pi\)
0.0897038 + 0.995968i \(0.471408\pi\)
\(728\) −4.75155 −0.176104
\(729\) −19.2072 18.9759i −0.711376 0.702811i
\(730\) 10.2314 0.378682
\(731\) −51.5029 43.2161i −1.90490 1.59840i
\(732\) −5.90484 4.52148i −0.218249 0.167119i
\(733\) 5.70519 + 32.3558i 0.210726 + 1.19509i 0.888171 + 0.459513i \(0.151976\pi\)
−0.677445 + 0.735574i \(0.736913\pi\)
\(734\) −1.66375 0.605557i −0.0614103 0.0223515i
\(735\) 0.368816 + 1.65571i 0.0136040 + 0.0610719i
\(736\) 3.49758 19.8357i 0.128922 0.731155i
\(737\) −1.16259 + 2.01366i −0.0428244 + 0.0741740i
\(738\) −3.13887 11.6205i −0.115543 0.427758i
\(739\) −6.22311 10.7787i −0.228921 0.396503i 0.728568 0.684974i \(-0.240186\pi\)
−0.957489 + 0.288471i \(0.906853\pi\)
\(740\) 3.02761 1.10196i 0.111297 0.0405089i
\(741\) 0.702197 1.35224i 0.0257959 0.0496758i
\(742\) 5.26819 4.42053i 0.193401 0.162283i
\(743\) 19.7967 16.6114i 0.726270 0.609413i −0.202842 0.979211i \(-0.565018\pi\)
0.929112 + 0.369799i \(0.120573\pi\)
\(744\) 10.5932 + 16.5910i 0.388366 + 0.608257i
\(745\) −16.7270 + 6.08812i −0.612829 + 0.223051i
\(746\) −19.4922 33.7614i −0.713658 1.23609i
\(747\) −3.18096 + 6.85771i −0.116385 + 0.250910i
\(748\) −1.03653 + 1.79533i −0.0378994 + 0.0656436i
\(749\) 0.547119 3.10286i 0.0199913 0.113376i
\(750\) −17.6891 + 16.2419i −0.645913 + 0.593071i
\(751\) −10.5354 3.83456i −0.384441 0.139925i 0.142567 0.989785i \(-0.454464\pi\)
−0.527009 + 0.849860i \(0.676686\pi\)
\(752\) 4.69615 + 26.6332i 0.171251 + 0.971212i
\(753\) −28.8707 + 11.9928i −1.05211 + 0.437042i
\(754\) −10.6861 8.96667i −0.389163 0.326547i
\(755\) 10.3754 0.377601
\(756\) 0.892330 2.17286i 0.0324537 0.0790263i
\(757\) −15.1191 −0.549514 −0.274757 0.961514i \(-0.588597\pi\)
−0.274757 + 0.961514i \(0.588597\pi\)
\(758\) −15.7039 13.1771i −0.570390 0.478614i
\(759\) −1.30780 + 10.0118i −0.0474700 + 0.363404i
\(760\) −0.184992 1.04914i −0.00671035 0.0380563i
\(761\) 15.6493 + 5.69588i 0.567287 + 0.206476i 0.609711 0.792624i \(-0.291286\pi\)
−0.0424235 + 0.999100i \(0.513508\pi\)
\(762\) −33.1122 10.4035i −1.19953 0.376880i
\(763\) 1.61932 9.18362i 0.0586233 0.332470i
\(764\) 4.13657 7.16476i 0.149656 0.259212i
\(765\) −16.7836 + 7.86761i −0.606813 + 0.284454i
\(766\) −12.5351 21.7115i −0.452913 0.784468i
\(767\) 18.8220 6.85065i 0.679624 0.247363i
\(768\) 17.8861 0.799012i 0.645409 0.0288319i
\(769\) −36.1307 + 30.3172i −1.30291 + 1.09327i −0.313270 + 0.949664i \(0.601425\pi\)
−0.989635 + 0.143604i \(0.954131\pi\)
\(770\) −0.853929 + 0.716531i −0.0307735 + 0.0258220i
\(771\) −38.6705 + 1.72750i −1.39268 + 0.0622144i
\(772\) 10.9890 3.99967i 0.395503 0.143951i
\(773\) 2.61422 + 4.52795i 0.0940268 + 0.162859i 0.909202 0.416355i \(-0.136693\pi\)
−0.815175 + 0.579214i \(0.803359\pi\)
\(774\) −4.26249 + 49.8800i −0.153212 + 1.79290i
\(775\) 9.47299 16.4077i 0.340280 0.589382i
\(776\) 5.36820 30.4446i 0.192707 1.09290i
\(777\) −12.0254 3.77825i −0.431409 0.135544i
\(778\) 3.44448 + 1.25369i 0.123491 + 0.0449469i
\(779\) −0.199675 1.13241i −0.00715410 0.0405729i
\(780\) −0.194699 + 1.49051i −0.00697134 + 0.0533688i
\(781\) −2.72741 2.28857i −0.0975944 0.0818914i
\(782\) −79.2292 −2.83323
\(783\) −20.9126 + 10.9670i −0.747354 + 0.391929i
\(784\) −4.69976 −0.167848
\(785\) −12.2386 10.2694i −0.436814 0.366530i
\(786\) 44.2612 18.3859i 1.57874 0.655805i
\(787\) −1.77423 10.0622i −0.0632446 0.358678i −0.999963 0.00859447i \(-0.997264\pi\)
0.936718 0.350084i \(-0.113847\pi\)
\(788\) −4.42691 1.61126i −0.157702 0.0573989i
\(789\) −14.0479 + 12.8987i −0.500120 + 0.459205i
\(790\) −0.368761 + 2.09135i −0.0131199 + 0.0744068i
\(791\) −9.79558 + 16.9664i −0.348291 + 0.603257i
\(792\) −5.26466 + 0.471309i −0.187072 + 0.0167473i
\(793\) −9.30973 16.1249i −0.330598 0.572613i
\(794\) 1.08731 0.395747i 0.0385871 0.0140446i
\(795\) 4.00910 + 6.27903i 0.142188 + 0.222694i
\(796\) 7.07517 5.93678i 0.250773 0.210423i
\(797\) 14.7621 12.3869i 0.522900 0.438765i −0.342742 0.939430i \(-0.611356\pi\)
0.865641 + 0.500665i \(0.166911\pi\)
\(798\) 0.560931 1.08020i 0.0198568 0.0382387i
\(799\) 34.1146 12.4167i 1.20689 0.439271i
\(800\) −5.07433 8.78900i −0.179405 0.310738i
\(801\) 15.3768 + 4.08694i 0.543311 + 0.144405i
\(802\) 6.98002 12.0897i 0.246473 0.426904i
\(803\) 0.842100 4.77578i 0.0297171 0.168534i
\(804\) 0.544572 + 2.44472i 0.0192056 + 0.0862188i
\(805\) −7.38054 2.68630i −0.260130 0.0946796i
\(806\) −2.49915 14.1734i −0.0880290 0.499237i
\(807\) 30.5896 + 23.4232i 1.07681 + 0.824537i
\(808\) 7.83809 + 6.57694i 0.275743 + 0.231376i
\(809\) −1.69357 −0.0595428 −0.0297714 0.999557i \(-0.509478\pi\)
−0.0297714 + 0.999557i \(0.509478\pi\)
\(810\) 11.9808 + 6.85278i 0.420963 + 0.240782i
\(811\) 2.88578 0.101333 0.0506667 0.998716i \(-0.483865\pi\)
0.0506667 + 0.998716i \(0.483865\pi\)
\(812\) −1.57373 1.32052i −0.0552271 0.0463410i
\(813\) 44.6945 + 34.2237i 1.56751 + 1.20028i
\(814\) −1.43840 8.15756i −0.0504158 0.285922i
\(815\) −6.82703 2.48484i −0.239141 0.0870400i
\(816\) −11.1661 50.1277i −0.390893 1.75482i
\(817\) −0.830446 + 4.70969i −0.0290536 + 0.164771i
\(818\) 11.7727 20.3909i 0.411622 0.712950i
\(819\) 4.14995 4.16674i 0.145011 0.145598i
\(820\) 0.567198 + 0.982416i 0.0198074 + 0.0343075i
\(821\) −19.3320 + 7.03627i −0.674691 + 0.245567i −0.656566 0.754268i \(-0.727992\pi\)
−0.0181248 + 0.999836i \(0.505770\pi\)
\(822\) −15.8454 + 30.5139i −0.552672 + 1.06430i
\(823\) 2.87678 2.41391i 0.100278 0.0841435i −0.591270 0.806474i \(-0.701373\pi\)
0.691548 + 0.722330i \(0.256929\pi\)
\(824\) 3.20756 2.69146i 0.111741 0.0937616i
\(825\) 2.73779 + 4.28792i 0.0953178 + 0.149286i
\(826\) 15.0355 5.47246i 0.523150 0.190411i
\(827\) 6.84465 + 11.8553i 0.238012 + 0.412248i 0.960144 0.279507i \(-0.0901710\pi\)
−0.722132 + 0.691755i \(0.756838\pi\)
\(828\) 6.25629 + 8.89663i 0.217421 + 0.309179i
\(829\) −9.11686 + 15.7909i −0.316642 + 0.548440i −0.979785 0.200053i \(-0.935889\pi\)
0.663143 + 0.748492i \(0.269222\pi\)
\(830\) 0.671043 3.80567i 0.0232922 0.132097i
\(831\) −36.0646 + 33.1141i −1.25107 + 1.14872i
\(832\) 10.0700 + 3.66517i 0.349114 + 0.127067i
\(833\) 1.09554 + 6.21311i 0.0379582 + 0.215272i
\(834\) 48.2533 20.0442i 1.67087 0.694075i
\(835\) 3.91741 + 3.28710i 0.135568 + 0.113755i
\(836\) 0.147461 0.00510003
\(837\) −23.8010 5.20100i −0.822684 0.179773i
\(838\) −43.5254 −1.50356
\(839\) 13.9124 + 11.6739i 0.480308 + 0.403026i 0.850538 0.525914i \(-0.176277\pi\)
−0.370230 + 0.928940i \(0.620721\pi\)
\(840\) 0.532569 4.07706i 0.0183754 0.140672i
\(841\) −1.44957 8.22093i −0.0499852 0.283480i
\(842\) −38.0565 13.8514i −1.31151 0.477351i
\(843\) −12.6920 3.98769i −0.437136 0.137344i
\(844\) 0.0446106 0.252999i 0.00153556 0.00870859i
\(845\) 4.48416 7.76678i 0.154260 0.267186i
\(846\) −22.1748 15.4603i −0.762386 0.531538i
\(847\) −5.23582 9.06871i −0.179905 0.311605i
\(848\) −19.3956 + 7.05942i −0.666048 + 0.242422i
\(849\) 41.4820 1.85310i 1.42366 0.0635981i
\(850\) −30.5810 + 25.6605i −1.04892 + 0.880147i
\(851\) 44.7093 37.5155i 1.53261 1.28602i
\(852\) −3.83138 + 0.171156i −0.131261 + 0.00586372i
\(853\) 8.31747 3.02731i 0.284785 0.103653i −0.195678 0.980668i \(-0.562691\pi\)
0.480463 + 0.877015i \(0.340469\pi\)
\(854\) −7.43682 12.8810i −0.254483 0.440777i
\(855\) 1.08158 + 0.754083i 0.0369894 + 0.0257891i
\(856\) −3.81858 + 6.61397i −0.130516 + 0.226061i
\(857\) 9.38199 53.2079i 0.320483 1.81755i −0.219200 0.975680i \(-0.570345\pi\)
0.539683 0.841868i \(-0.318544\pi\)
\(858\) 3.68689 + 1.15838i 0.125868 + 0.0395465i
\(859\) 4.20150 + 1.52922i 0.143353 + 0.0521764i 0.412700 0.910867i \(-0.364586\pi\)
−0.269347 + 0.963043i \(0.586808\pi\)
\(860\) −0.819263 4.64627i −0.0279366 0.158436i
\(861\) 0.574841 4.40067i 0.0195905 0.149974i
\(862\) 20.8685 + 17.5108i 0.710785 + 0.596419i
\(863\) −14.7325 −0.501501 −0.250751 0.968052i \(-0.580677\pi\)
−0.250751 + 0.968052i \(0.580677\pi\)
\(864\) −8.78740 + 9.64825i −0.298953 + 0.328240i
\(865\) −7.67412 −0.260928
\(866\) −0.513308 0.430716i −0.0174429 0.0146363i
\(867\) −36.4742 + 15.1513i −1.23873 + 0.514564i
\(868\) −0.368049 2.08731i −0.0124924 0.0708479i
\(869\) 0.945839 + 0.344257i 0.0320854 + 0.0116781i
\(870\) 8.89157 8.16415i 0.301453 0.276791i
\(871\) −1.08887 + 6.17531i −0.0368951 + 0.209242i
\(872\) −11.3019 + 19.5755i −0.382732 + 0.662911i
\(873\) 22.0090 + 31.2974i 0.744891 + 1.05926i
\(874\) 2.81786 + 4.88067i 0.0953154 + 0.165091i
\(875\) −8.32024 + 3.02832i −0.281276 + 0.102376i
\(876\) −2.81118 4.40285i −0.0949809 0.148759i
\(877\) 1.96933 1.65246i 0.0664995 0.0557997i −0.608932 0.793222i \(-0.708402\pi\)
0.675432 + 0.737423i \(0.263957\pi\)
\(878\) 25.2552 21.1916i 0.852320 0.715182i
\(879\) 9.24426 17.8019i 0.311801 0.600443i
\(880\) 3.14386 1.14427i 0.105980 0.0385734i
\(881\) 12.7279 + 22.0454i 0.428814 + 0.742727i 0.996768 0.0803329i \(-0.0255983\pi\)
−0.567954 + 0.823060i \(0.692265\pi\)
\(882\) 3.31507 3.32848i 0.111624 0.112076i
\(883\) 4.69409 8.13040i 0.157969 0.273610i −0.776167 0.630527i \(-0.782839\pi\)
0.934136 + 0.356917i \(0.116172\pi\)
\(884\) −0.970813 + 5.50575i −0.0326520 + 0.185179i
\(885\) 3.76856 + 16.9181i 0.126679 + 0.568694i
\(886\) 30.1596 + 10.9772i 1.01323 + 0.368786i
\(887\) −1.03902 5.89256i −0.0348868 0.197853i 0.962383 0.271696i \(-0.0875846\pi\)
−0.997270 + 0.0738434i \(0.976474\pi\)
\(888\) 24.2586 + 18.5754i 0.814064 + 0.623349i
\(889\) −9.80300 8.22570i −0.328782 0.275881i
\(890\) −8.13338 −0.272632
\(891\) 4.18479 5.02833i 0.140196 0.168455i
\(892\) 5.59365 0.187289
\(893\) −1.97821 1.65991i −0.0661981 0.0555468i
\(894\) 39.1399 + 29.9704i 1.30903 + 1.00236i
\(895\) 2.54323 + 14.4234i 0.0850108 + 0.482120i
\(896\) 12.7642 + 4.64580i 0.426423 + 0.155205i
\(897\) 5.92035 + 26.5780i 0.197675 + 0.887412i
\(898\) −9.17860 + 52.0544i −0.306294 + 1.73708i
\(899\) −10.6536 + 18.4526i −0.355318 + 0.615428i
\(900\) 5.29622 + 1.40766i 0.176541 + 0.0469221i
\(901\) 13.8538 + 23.9955i 0.461538 + 0.799408i
\(902\) 2.74060 0.997496i 0.0912519 0.0332130i
\(903\) −8.50635 + 16.3809i −0.283073 + 0.545122i
\(904\) 36.3776 30.5244i 1.20990 1.01523i
\(905\) 2.14202 1.79737i 0.0712031 0.0597465i
\(906\) −15.4631 24.2182i −0.513726 0.804595i
\(907\) 12.3315 4.48830i 0.409461 0.149031i −0.129074 0.991635i \(-0.541200\pi\)
0.538534 + 0.842603i \(0.318978\pi\)
\(908\) 4.56369 + 7.90454i 0.151451 + 0.262321i
\(909\) −12.6132 + 1.12917i −0.418352 + 0.0374522i
\(910\) −1.50311 + 2.60346i −0.0498276 + 0.0863039i
\(911\) 2.71655 15.4063i 0.0900034 0.510434i −0.906161 0.422933i \(-0.861001\pi\)
0.996164 0.0875016i \(-0.0278883\pi\)
\(912\) −2.69083 + 2.47069i −0.0891023 + 0.0818128i
\(913\) −1.72116 0.626453i −0.0569622 0.0207326i
\(914\) 1.21655 + 6.89937i 0.0402398 + 0.228211i
\(915\) 14.8794 6.18087i 0.491899 0.204333i
\(916\) 9.95646 + 8.35446i 0.328971 + 0.276039i
\(917\) 17.6711 0.583551
\(918\) 43.3780 + 27.4505i 1.43169 + 0.906002i
\(919\) −42.5198 −1.40260 −0.701299 0.712867i \(-0.747396\pi\)
−0.701299 + 0.712867i \(0.747396\pi\)
\(920\) 14.5840 + 12.2374i 0.480820 + 0.403456i
\(921\) −0.578639 + 4.42975i −0.0190668 + 0.145965i
\(922\) −1.36381 7.73456i −0.0449147 0.254724i
\(923\) −9.02267 3.28398i −0.296985 0.108094i
\(924\) 0.542966 + 0.170594i 0.0178623 + 0.00561214i
\(925\) 5.10653 28.9605i 0.167902 0.952217i
\(926\) −13.0073 + 22.5293i −0.427446 + 0.740359i
\(927\) −0.441244 + 5.16348i −0.0144924 + 0.169591i
\(928\) 5.70674 + 9.88437i 0.187333 + 0.324470i
\(929\) −42.5680 + 15.4935i −1.39661 + 0.508324i −0.927170 0.374640i \(-0.877766\pi\)
−0.469439 + 0.882965i \(0.655544\pi\)
\(930\) 12.4416 0.555795i 0.407976 0.0182252i
\(931\) 0.343776 0.288462i 0.0112668 0.00945397i
\(932\) −1.08077 + 0.906872i −0.0354017 + 0.0297056i
\(933\) −48.3855 + 2.16149i −1.58407 + 0.0707641i
\(934\) 41.6497 15.1592i 1.36282 0.496026i
\(935\) −2.24559 3.88948i −0.0734386 0.127199i
\(936\) −12.9069 + 6.05034i −0.421875 + 0.197762i
\(937\) −5.25699 + 9.10538i −0.171738 + 0.297460i −0.939028 0.343841i \(-0.888272\pi\)
0.767289 + 0.641301i \(0.221605\pi\)
\(938\) −0.869817 + 4.93298i −0.0284005 + 0.161067i
\(939\) −39.8470 12.5195i −1.30036 0.408559i
\(940\) 2.39395 + 0.871326i 0.0780820 + 0.0284195i
\(941\) −3.35699 19.0385i −0.109435 0.620636i −0.989356 0.145516i \(-0.953516\pi\)
0.879921 0.475120i \(-0.157595\pi\)
\(942\) −5.73083 + 43.8721i −0.186721 + 1.42943i
\(943\) 15.7416 + 13.2088i 0.512616 + 0.430136i
\(944\) −48.0221 −1.56299
\(945\) 3.11012 + 4.02788i 0.101172 + 0.131027i
\(946\) −12.1296 −0.394368
\(947\) 45.7010 + 38.3477i 1.48508 + 1.24613i 0.900543 + 0.434767i \(0.143169\pi\)
0.584540 + 0.811365i \(0.301275\pi\)
\(948\) 1.00128 0.415929i 0.0325201 0.0135087i
\(949\) −2.27099 12.8794i −0.0737196 0.418085i
\(950\) 2.66837 + 0.971208i 0.0865735 + 0.0315102i
\(951\) −10.6667 + 9.79404i −0.345891 + 0.317593i
\(952\) 2.65551 15.0602i 0.0860657 0.488103i
\(953\) 6.90591 11.9614i 0.223704 0.387467i −0.732226 0.681062i \(-0.761518\pi\)
0.955930 + 0.293595i \(0.0948516\pi\)
\(954\) 8.68144 18.7160i 0.281072 0.605951i
\(955\) 8.96166 + 15.5221i 0.289993 + 0.502282i
\(956\) 0.857463 0.312091i 0.0277323 0.0100937i
\(957\) −3.07900 4.82232i −0.0995301 0.155884i
\(958\) −1.48698 + 1.24773i −0.0480422 + 0.0403122i
\(959\) −9.71112 + 8.14860i −0.313588 + 0.263132i
\(960\) −4.27358 + 8.22973i −0.137929 + 0.265613i
\(961\) 8.47326 3.08402i 0.273331 0.0994844i
\(962\) −11.1694 19.3460i −0.360117 0.623741i
\(963\) −2.46483 9.12516i −0.0794282 0.294054i
\(964\) 0.204356 0.353956i 0.00658188 0.0114001i
\(965\) −4.39937 + 24.9501i −0.141621 + 0.803171i
\(966\) 4.72931 + 21.2311i 0.152163 + 0.683099i
\(967\) −18.2325 6.63610i −0.586319 0.213403i 0.0317908 0.999495i \(-0.489879\pi\)
−0.618110 + 0.786092i \(0.712101\pi\)
\(968\) 4.40763 + 24.9969i 0.141667 + 0.803432i
\(969\) 3.89352 + 2.98136i 0.125078 + 0.0957752i
\(970\) −14.9830 12.5722i −0.481074 0.403669i
\(971\) 17.8545 0.572979 0.286489 0.958083i \(-0.407512\pi\)
0.286489 + 0.958083i \(0.407512\pi\)
\(972\) −0.342906 7.03851i −0.0109987 0.225760i
\(973\) 19.2649 0.617605
\(974\) 38.3502 + 32.1796i 1.22882 + 1.03110i
\(975\) 10.8931 + 8.34113i 0.348859 + 0.267130i
\(976\) 7.75172 + 43.9622i 0.248126 + 1.40719i
\(977\) 27.8491 + 10.1363i 0.890973 + 0.324288i 0.746630 0.665240i \(-0.231671\pi\)
0.144344 + 0.989528i \(0.453893\pi\)
\(978\) 4.37463 + 19.6388i 0.139885 + 0.627981i
\(979\) −0.669419 + 3.79646i −0.0213947 + 0.121336i
\(980\) −0.221362 + 0.383410i −0.00707115 + 0.0122476i
\(981\) −7.29523 27.0080i −0.232919 0.862298i
\(982\) −19.1170 33.1117i −0.610049 1.05664i
\(983\) −2.83885 + 1.03326i −0.0905454 + 0.0329558i −0.386896 0.922124i \(-0.626453\pi\)
0.296350 + 0.955079i \(0.404230\pi\)
\(984\) −4.95765 + 9.54706i −0.158044 + 0.304349i
\(985\) 7.81838 6.56040i 0.249114 0.209032i
\(986\) 34.3923 28.8585i 1.09527 0.919043i
\(987\) −5.36365 8.40053i −0.170727 0.267392i
\(988\) 0.373693 0.136013i 0.0118887 0.00432715i
\(989\) −42.7319 74.0138i −1.35880 2.35350i
\(990\) −1.40719 + 3.03370i −0.0447234 + 0.0964173i
\(991\) 19.0275 32.9567i 0.604430 1.04690i −0.387712 0.921781i \(-0.626734\pi\)
0.992141 0.125122i \(-0.0399323\pi\)
\(992\) −2.04479 + 11.5966i −0.0649220 + 0.368191i
\(993\) 40.9836 37.6307i 1.30057 1.19417i
\(994\) −7.20751 2.62332i −0.228608 0.0832067i
\(995\) 3.47457 + 19.7053i 0.110151 + 0.624699i
\(996\) −1.82205 + 0.756875i −0.0577340 + 0.0239825i
\(997\) 22.4716 + 18.8559i 0.711683 + 0.597173i 0.925071 0.379795i \(-0.124005\pi\)
−0.213388 + 0.976968i \(0.568450\pi\)
\(998\) 18.2779 0.578575
\(999\) −37.4763 + 5.04934i −1.18570 + 0.159754i
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 189.2.v.b.43.7 yes 54
3.2 odd 2 567.2.v.a.127.3 54
27.5 odd 18 567.2.v.a.442.3 54
27.7 even 9 5103.2.a.g.1.21 27
27.20 odd 18 5103.2.a.h.1.7 27
27.22 even 9 inner 189.2.v.b.22.7 54
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
189.2.v.b.22.7 54 27.22 even 9 inner
189.2.v.b.43.7 yes 54 1.1 even 1 trivial
567.2.v.a.127.3 54 3.2 odd 2
567.2.v.a.442.3 54 27.5 odd 18
5103.2.a.g.1.21 27 27.7 even 9
5103.2.a.h.1.7 27 27.20 odd 18