Properties

Label 950.2.bg.a.9.6
Level $950$
Weight $2$
Character 950.9
Analytic conductor $7.586$
Analytic rank $0$
Dimension $1200$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [950,2,Mod(9,950)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(950, base_ring=CyclotomicField(90))
 
chi = DirichletCharacter(H, H._module([63, 40]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("950.9");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 950.bg (of order \(90\), degree \(24\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.58578819202\)
Analytic rank: \(0\)
Dimension: \(1200\)
Relative dimension: \(50\) over \(\Q(\zeta_{90})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{90}]$

Embedding invariants

Embedding label 9.6
Character \(\chi\) \(=\) 950.9
Dual form 950.2.bg.a.739.6

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.898794 - 0.438371i) q^{2} +(-0.891893 + 1.42733i) q^{3} +(0.615661 + 0.788011i) q^{4} +(-0.847823 + 2.06911i) q^{5} +(1.42733 - 0.891893i) q^{6} +(-4.31713 - 2.49250i) q^{7} +(-0.207912 - 0.978148i) q^{8} +(0.0733240 + 0.150336i) q^{9} +O(q^{10})\) \(q+(-0.898794 - 0.438371i) q^{2} +(-0.891893 + 1.42733i) q^{3} +(0.615661 + 0.788011i) q^{4} +(-0.847823 + 2.06911i) q^{5} +(1.42733 - 0.891893i) q^{6} +(-4.31713 - 2.49250i) q^{7} +(-0.207912 - 0.978148i) q^{8} +(0.0733240 + 0.150336i) q^{9} +(1.66905 - 1.48804i) q^{10} +(-0.365224 + 3.47488i) q^{11} +(-1.67385 + 0.175929i) q^{12} +(0.384715 - 5.50168i) q^{13} +(2.78757 + 4.13274i) q^{14} +(-2.19712 - 3.05554i) q^{15} +(-0.241922 + 0.970296i) q^{16} +(-0.899474 + 6.40009i) q^{17} -0.167265i q^{18} +(-2.11368 - 3.81213i) q^{19} +(-2.15245 + 0.605775i) q^{20} +(7.40802 - 3.93891i) q^{21} +(1.85155 - 2.96309i) q^{22} +(-0.269219 + 0.938879i) q^{23} +(1.58157 + 0.575645i) q^{24} +(-3.56239 - 3.50847i) q^{25} +(-2.75756 + 4.77623i) q^{26} +(-5.30154 - 0.557214i) q^{27} +(-0.693777 - 4.93648i) q^{28} +(1.81201 - 0.254662i) q^{29} +(0.635300 + 3.70946i) q^{30} +(-0.423059 - 0.469855i) q^{31} +(0.642788 - 0.766044i) q^{32} +(-4.63404 - 3.62051i) q^{33} +(3.61405 - 5.35806i) q^{34} +(8.81739 - 6.81940i) q^{35} +(-0.0733240 + 0.150336i) q^{36} +(1.97832 + 2.72293i) q^{37} +(0.228636 + 4.35290i) q^{38} +(7.50957 + 5.45602i) q^{39} +(2.20016 + 0.399105i) q^{40} +(1.96277 - 7.87223i) q^{41} +(-8.38499 + 0.292810i) q^{42} +(2.68869 - 7.38712i) q^{43} +(-2.96309 + 1.85155i) q^{44} +(-0.373228 + 0.0242564i) q^{45} +(0.653550 - 0.725841i) q^{46} +(0.405070 + 2.88222i) q^{47} +(-1.16916 - 1.21070i) q^{48} +(8.92506 + 15.4587i) q^{49} +(1.66385 + 4.71504i) q^{50} +(-8.33278 - 6.99204i) q^{51} +(4.57223 - 3.08401i) q^{52} +(7.86553 - 6.14523i) q^{53} +(4.52072 + 2.82486i) q^{54} +(-6.88024 - 3.70177i) q^{55} +(-1.54045 + 4.74101i) q^{56} +(7.32634 + 0.383099i) q^{57} +(-1.74026 - 0.565445i) q^{58} +(-1.04710 - 1.01117i) q^{59} +(1.05512 - 3.61253i) q^{60} +(10.2936 + 2.95164i) q^{61} +(0.174272 + 0.607760i) q^{62} +(0.0581638 - 0.831781i) q^{63} +(-0.913545 + 0.406737i) q^{64} +(11.0574 + 5.46046i) q^{65} +(2.57792 + 5.28553i) q^{66} +(-0.259440 + 0.487936i) q^{67} +(-5.59711 + 3.23149i) q^{68} +(-1.09997 - 1.22164i) q^{69} +(-10.9144 + 2.26394i) q^{70} +(0.0679938 - 1.94709i) q^{71} +(0.131806 - 0.102978i) q^{72} +(-0.138907 - 1.98646i) q^{73} +(-0.584452 - 3.31459i) q^{74} +(8.18501 - 1.95552i) q^{75} +(1.70269 - 4.01259i) q^{76} +(10.2378 - 14.0912i) q^{77} +(-4.35779 - 8.19581i) q^{78} +(10.2035 + 6.37583i) q^{79} +(-1.80254 - 1.32320i) q^{80} +(5.21479 - 6.67463i) q^{81} +(-5.21508 + 6.21509i) q^{82} +(3.99434 - 3.59652i) q^{83} +(7.66474 + 3.41256i) q^{84} +(-12.4799 - 7.28725i) q^{85} +(-5.65488 + 5.46085i) q^{86} +(-1.25263 + 2.81346i) q^{87} +(3.47488 - 0.365224i) q^{88} +(-0.554119 - 2.22245i) q^{89} +(0.346088 + 0.141811i) q^{90} +(-15.3738 + 22.7925i) q^{91} +(-0.905594 + 0.365884i) q^{92} +(1.04796 - 0.184784i) q^{93} +(0.899409 - 2.76810i) q^{94} +(9.67973 - 1.14142i) q^{95} +(0.520098 + 1.60070i) q^{96} +(-1.72533 - 3.24488i) q^{97} +(-1.24516 - 17.8066i) q^{98} +(-0.549180 + 0.199885i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1200 q+O(q^{10}) \) Copy content Toggle raw display \( 1200 q + 18 q^{11} + 90 q^{15} + 12 q^{20} - 60 q^{22} - 60 q^{23} - 96 q^{25} - 36 q^{29} - 60 q^{33} + 30 q^{35} - 120 q^{45} - 60 q^{46} - 60 q^{47} + 660 q^{49} - 24 q^{50} + 120 q^{51} + 36 q^{54} + 36 q^{55} + 48 q^{56} - 36 q^{59} - 30 q^{60} - 144 q^{61} - 150 q^{64} + 120 q^{65} + 96 q^{66} + 48 q^{69} - 60 q^{70} - 120 q^{71} - 48 q^{79} - 96 q^{81} - 30 q^{83} + 78 q^{84} - 192 q^{85} + 60 q^{87} - 72 q^{89} - 36 q^{90} + 60 q^{92} - 96 q^{94} - 24 q^{95} - 180 q^{97} - 240 q^{98} - 192 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{7}{10}\right)\) \(e\left(\frac{4}{9}\right)\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.898794 0.438371i −0.635543 0.309975i
\(3\) −0.891893 + 1.42733i −0.514935 + 0.824068i −0.998692 0.0511346i \(-0.983716\pi\)
0.483757 + 0.875202i \(0.339272\pi\)
\(4\) 0.615661 + 0.788011i 0.307831 + 0.394005i
\(5\) −0.847823 + 2.06911i −0.379158 + 0.925332i
\(6\) 1.42733 0.891893i 0.582704 0.364114i
\(7\) −4.31713 2.49250i −1.63172 0.942075i −0.983562 0.180569i \(-0.942206\pi\)
−0.648159 0.761505i \(-0.724461\pi\)
\(8\) −0.207912 0.978148i −0.0735079 0.345827i
\(9\) 0.0733240 + 0.150336i 0.0244413 + 0.0501121i
\(10\) 1.66905 1.48804i 0.527801 0.470559i
\(11\) −0.365224 + 3.47488i −0.110119 + 1.04771i 0.790308 + 0.612709i \(0.209920\pi\)
−0.900428 + 0.435006i \(0.856746\pi\)
\(12\) −1.67385 + 0.175929i −0.483200 + 0.0507863i
\(13\) 0.384715 5.50168i 0.106701 1.52589i −0.589338 0.807886i \(-0.700611\pi\)
0.696039 0.718004i \(-0.254944\pi\)
\(14\) 2.78757 + 4.13274i 0.745010 + 1.10452i
\(15\) −2.19712 3.05554i −0.567295 0.788937i
\(16\) −0.241922 + 0.970296i −0.0604805 + 0.242574i
\(17\) −0.899474 + 6.40009i −0.218154 + 1.55225i 0.505953 + 0.862561i \(0.331141\pi\)
−0.724107 + 0.689688i \(0.757748\pi\)
\(18\) 0.167265i 0.0394246i
\(19\) −2.11368 3.81213i −0.484912 0.874563i
\(20\) −2.15245 + 0.605775i −0.481302 + 0.135455i
\(21\) 7.40802 3.93891i 1.61656 0.859542i
\(22\) 1.85155 2.96309i 0.394751 0.631734i
\(23\) −0.269219 + 0.938879i −0.0561361 + 0.195770i −0.984333 0.176320i \(-0.943581\pi\)
0.928197 + 0.372089i \(0.121359\pi\)
\(24\) 1.58157 + 0.575645i 0.322837 + 0.117503i
\(25\) −3.56239 3.50847i −0.712479 0.701694i
\(26\) −2.75756 + 4.77623i −0.540801 + 0.936695i
\(27\) −5.30154 0.557214i −1.02028 0.107236i
\(28\) −0.693777 4.93648i −0.131111 0.932906i
\(29\) 1.81201 0.254662i 0.336482 0.0472895i 0.0310912 0.999517i \(-0.490102\pi\)
0.305391 + 0.952227i \(0.401213\pi\)
\(30\) 0.635300 + 3.70946i 0.115989 + 0.677251i
\(31\) −0.423059 0.469855i −0.0759837 0.0843884i 0.703954 0.710245i \(-0.251416\pi\)
−0.779938 + 0.625857i \(0.784749\pi\)
\(32\) 0.642788 0.766044i 0.113630 0.135419i
\(33\) −4.63404 3.62051i −0.806684 0.630250i
\(34\) 3.61405 5.35806i 0.619805 0.918899i
\(35\) 8.81739 6.81940i 1.49041 1.15269i
\(36\) −0.0733240 + 0.150336i −0.0122207 + 0.0250561i
\(37\) 1.97832 + 2.72293i 0.325235 + 0.447647i 0.940056 0.341019i \(-0.110772\pi\)
−0.614822 + 0.788666i \(0.710772\pi\)
\(38\) 0.228636 + 4.35290i 0.0370896 + 0.706133i
\(39\) 7.50957 + 5.45602i 1.20249 + 0.873662i
\(40\) 2.20016 + 0.399105i 0.347876 + 0.0631040i
\(41\) 1.96277 7.87223i 0.306533 1.22944i −0.597464 0.801896i \(-0.703825\pi\)
0.903997 0.427540i \(-0.140620\pi\)
\(42\) −8.38499 + 0.292810i −1.29383 + 0.0451816i
\(43\) 2.68869 7.38712i 0.410022 1.12652i −0.547158 0.837029i \(-0.684290\pi\)
0.957179 0.289495i \(-0.0934875\pi\)
\(44\) −2.96309 + 1.85155i −0.446703 + 0.279131i
\(45\) −0.373228 + 0.0242564i −0.0556375 + 0.00361593i
\(46\) 0.653550 0.725841i 0.0963607 0.107019i
\(47\) 0.405070 + 2.88222i 0.0590856 + 0.420416i 0.997243 + 0.0742065i \(0.0236424\pi\)
−0.938157 + 0.346209i \(0.887469\pi\)
\(48\) −1.16916 1.21070i −0.168754 0.174750i
\(49\) 8.92506 + 15.4587i 1.27501 + 2.20838i
\(50\) 1.66385 + 4.71504i 0.235303 + 0.666808i
\(51\) −8.33278 6.99204i −1.16682 0.979081i
\(52\) 4.57223 3.08401i 0.634055 0.427675i
\(53\) 7.86553 6.14523i 1.08041 0.844112i 0.0919793 0.995761i \(-0.470681\pi\)
0.988434 + 0.151649i \(0.0484584\pi\)
\(54\) 4.52072 + 2.82486i 0.615192 + 0.384415i
\(55\) −6.88024 3.70177i −0.927731 0.499146i
\(56\) −1.54045 + 4.74101i −0.205851 + 0.633544i
\(57\) 7.32634 + 0.383099i 0.970397 + 0.0507427i
\(58\) −1.74026 0.565445i −0.228508 0.0742466i
\(59\) −1.04710 1.01117i −0.136321 0.131644i 0.623372 0.781925i \(-0.285762\pi\)
−0.759693 + 0.650281i \(0.774651\pi\)
\(60\) 1.05512 3.61253i 0.136215 0.466376i
\(61\) 10.2936 + 2.95164i 1.31796 + 0.377919i 0.859654 0.510876i \(-0.170679\pi\)
0.458305 + 0.888795i \(0.348457\pi\)
\(62\) 0.174272 + 0.607760i 0.0221326 + 0.0771855i
\(63\) 0.0581638 0.831781i 0.00732795 0.104795i
\(64\) −0.913545 + 0.406737i −0.114193 + 0.0508421i
\(65\) 11.0574 + 5.46046i 1.37150 + 0.677287i
\(66\) 2.57792 + 5.28553i 0.317320 + 0.650603i
\(67\) −0.259440 + 0.487936i −0.0316956 + 0.0596108i −0.898292 0.439399i \(-0.855192\pi\)
0.866597 + 0.499009i \(0.166303\pi\)
\(68\) −5.59711 + 3.23149i −0.678749 + 0.391876i
\(69\) −1.09997 1.22164i −0.132421 0.147069i
\(70\) −10.9144 + 2.26394i −1.30453 + 0.270593i
\(71\) 0.0679938 1.94709i 0.00806938 0.231077i −0.988655 0.150204i \(-0.952007\pi\)
0.996724 0.0808729i \(-0.0257708\pi\)
\(72\) 0.131806 0.102978i 0.0155335 0.0121361i
\(73\) −0.138907 1.98646i −0.0162578 0.232498i −0.998896 0.0469676i \(-0.985044\pi\)
0.982639 0.185530i \(-0.0594002\pi\)
\(74\) −0.584452 3.31459i −0.0679412 0.385314i
\(75\) 8.18501 1.95552i 0.945123 0.225804i
\(76\) 1.70269 4.01259i 0.195312 0.460275i
\(77\) 10.2378 14.0912i 1.16671 1.60584i
\(78\) −4.35779 8.19581i −0.493423 0.927993i
\(79\) 10.2035 + 6.37583i 1.14798 + 0.717337i 0.964081 0.265609i \(-0.0855730\pi\)
0.183898 + 0.982945i \(0.441129\pi\)
\(80\) −1.80254 1.32320i −0.201530 0.147938i
\(81\) 5.21479 6.67463i 0.579422 0.741626i
\(82\) −5.21508 + 6.21509i −0.575909 + 0.686342i
\(83\) 3.99434 3.59652i 0.438435 0.394769i −0.420137 0.907460i \(-0.638018\pi\)
0.858573 + 0.512691i \(0.171351\pi\)
\(84\) 7.66474 + 3.41256i 0.836292 + 0.372341i
\(85\) −12.4799 7.28725i −1.35363 0.790413i
\(86\) −5.65488 + 5.46085i −0.609781 + 0.588859i
\(87\) −1.25263 + 2.81346i −0.134297 + 0.301635i
\(88\) 3.47488 0.365224i 0.370423 0.0389330i
\(89\) −0.554119 2.22245i −0.0587365 0.235579i 0.933751 0.357922i \(-0.116515\pi\)
−0.992488 + 0.122343i \(0.960959\pi\)
\(90\) 0.346088 + 0.141811i 0.0364809 + 0.0149482i
\(91\) −15.3738 + 22.7925i −1.61161 + 2.38931i
\(92\) −0.905594 + 0.365884i −0.0944147 + 0.0381460i
\(93\) 1.04796 0.184784i 0.108668 0.0191612i
\(94\) 0.899409 2.76810i 0.0927670 0.285507i
\(95\) 9.67973 1.14142i 0.993119 0.117107i
\(96\) 0.520098 + 1.60070i 0.0530823 + 0.163371i
\(97\) −1.72533 3.24488i −0.175181 0.329467i 0.779854 0.625962i \(-0.215293\pi\)
−0.955035 + 0.296494i \(0.904182\pi\)
\(98\) −1.24516 17.8066i −0.125780 1.79874i
\(99\) −0.549180 + 0.199885i −0.0551947 + 0.0200892i
\(100\) 0.571483 4.96723i 0.0571483 0.496723i
\(101\) −6.22931 5.22701i −0.619840 0.520107i 0.277914 0.960606i \(-0.410357\pi\)
−0.897753 + 0.440499i \(0.854802\pi\)
\(102\) 4.42435 + 9.93725i 0.438076 + 0.983934i
\(103\) −12.3539 11.1235i −1.21726 1.09603i −0.992580 0.121595i \(-0.961199\pi\)
−0.224682 0.974432i \(-0.572134\pi\)
\(104\) −5.46144 + 0.767555i −0.535538 + 0.0752650i
\(105\) 1.86934 + 18.6675i 0.182429 + 1.82176i
\(106\) −9.76338 + 2.07527i −0.948303 + 0.201568i
\(107\) −0.524008 0.302536i −0.0506577 0.0292473i 0.474457 0.880279i \(-0.342644\pi\)
−0.525115 + 0.851031i \(0.675978\pi\)
\(108\) −2.82486 4.52072i −0.271822 0.435007i
\(109\) −10.9935 + 3.15233i −1.05298 + 0.301938i −0.757109 0.653289i \(-0.773389\pi\)
−0.295874 + 0.955227i \(0.595611\pi\)
\(110\) 4.56117 + 6.34323i 0.434891 + 0.604803i
\(111\) −5.65097 + 0.395154i −0.536366 + 0.0375064i
\(112\) 3.46287 3.58590i 0.327210 0.338836i
\(113\) −9.33088 12.8429i −0.877775 1.20815i −0.977032 0.213092i \(-0.931646\pi\)
0.0992566 0.995062i \(-0.468354\pi\)
\(114\) −6.41693 3.55598i −0.601000 0.333048i
\(115\) −1.71439 1.35305i −0.159868 0.126172i
\(116\) 1.31626 + 1.27110i 0.122212 + 0.118019i
\(117\) 0.855311 0.345568i 0.0790735 0.0319478i
\(118\) 0.497859 + 1.36786i 0.0458316 + 0.125921i
\(119\) 19.8353 25.3881i 1.81830 2.32732i
\(120\) −2.53196 + 2.78439i −0.231135 + 0.254179i
\(121\) −1.18176 0.251190i −0.107432 0.0228354i
\(122\) −7.95791 7.16533i −0.720475 0.648719i
\(123\) 9.48567 + 9.82270i 0.855294 + 0.885683i
\(124\) 0.109789 0.622647i 0.00985938 0.0559153i
\(125\) 10.2797 4.39641i 0.919442 0.393226i
\(126\) −0.416906 + 0.722103i −0.0371410 + 0.0643300i
\(127\) 20.1631 5.02722i 1.78918 0.446093i 0.800909 0.598786i \(-0.204350\pi\)
0.988274 + 0.152692i \(0.0487944\pi\)
\(128\) 0.999391 + 0.0348995i 0.0883345 + 0.00308471i
\(129\) 8.14581 + 10.4262i 0.717198 + 0.917972i
\(130\) −7.54460 9.75506i −0.661705 0.855576i
\(131\) −18.8245 2.64561i −1.64470 0.231148i −0.744815 0.667271i \(-0.767462\pi\)
−0.899887 + 0.436124i \(0.856351\pi\)
\(132\) 5.88069i 0.511848i
\(133\) −0.376686 + 21.7258i −0.0326628 + 1.88387i
\(134\) 0.447080 0.324823i 0.0386218 0.0280604i
\(135\) 5.64770 10.4970i 0.486076 0.903439i
\(136\) 6.44724 0.450835i 0.552846 0.0386588i
\(137\) −14.3828 9.70129i −1.22880 0.828838i −0.238963 0.971029i \(-0.576807\pi\)
−0.989839 + 0.142191i \(0.954585\pi\)
\(138\) 0.453116 + 1.58020i 0.0385718 + 0.134516i
\(139\) −5.29447 21.2350i −0.449071 1.80113i −0.585728 0.810508i \(-0.699191\pi\)
0.136657 0.990618i \(-0.456364\pi\)
\(140\) 10.8023 + 2.74976i 0.912960 + 0.232397i
\(141\) −4.47516 1.99247i −0.376876 0.167796i
\(142\) −0.914660 + 1.72022i −0.0767565 + 0.144358i
\(143\) 18.9771 + 3.34618i 1.58695 + 0.279822i
\(144\) −0.163609 + 0.0347763i −0.0136341 + 0.00289802i
\(145\) −1.00934 + 3.96515i −0.0838214 + 0.329288i
\(146\) −0.745959 + 1.84631i −0.0617360 + 0.152802i
\(147\) −30.0248 1.04849i −2.47640 0.0864778i
\(148\) −0.927720 + 3.23534i −0.0762581 + 0.265944i
\(149\) −5.84703 + 4.90624i −0.479007 + 0.401935i −0.850067 0.526674i \(-0.823439\pi\)
0.371060 + 0.928609i \(0.378994\pi\)
\(150\) −8.21388 1.83046i −0.670660 0.149456i
\(151\) 2.61396 0.212721 0.106360 0.994328i \(-0.466080\pi\)
0.106360 + 0.994328i \(0.466080\pi\)
\(152\) −3.28937 + 2.86008i −0.266803 + 0.231983i
\(153\) −1.02812 + 0.334056i −0.0831185 + 0.0270068i
\(154\) −15.3789 + 8.17709i −1.23926 + 0.658928i
\(155\) 1.33086 0.477000i 0.106897 0.0383136i
\(156\) 0.323949 + 9.27668i 0.0259367 + 0.742729i
\(157\) −4.49926 + 12.3616i −0.359080 + 0.986564i 0.620269 + 0.784389i \(0.287023\pi\)
−0.979349 + 0.202175i \(0.935199\pi\)
\(158\) −6.37583 10.2035i −0.507234 0.811743i
\(159\) 1.75604 + 16.7076i 0.139263 + 1.32500i
\(160\) 1.04006 + 1.97947i 0.0822237 + 0.156490i
\(161\) 3.50240 3.38223i 0.276028 0.266557i
\(162\) −7.61299 + 3.71310i −0.598133 + 0.291729i
\(163\) −4.42937 + 9.94852i −0.346935 + 0.779228i 0.652829 + 0.757505i \(0.273582\pi\)
−0.999764 + 0.0217231i \(0.993085\pi\)
\(164\) 7.41180 3.29995i 0.578764 0.257683i
\(165\) 11.4201 6.51877i 0.889051 0.507486i
\(166\) −5.16670 + 1.48153i −0.401013 + 0.114989i
\(167\) −12.4518 + 0.434827i −0.963551 + 0.0336479i −0.512352 0.858776i \(-0.671226\pi\)
−0.451199 + 0.892423i \(0.649003\pi\)
\(168\) −5.39305 6.42719i −0.416083 0.495869i
\(169\) −17.2469 2.42390i −1.32669 0.186454i
\(170\) 8.02231 + 12.0205i 0.615283 + 0.921934i
\(171\) 0.418119 0.597284i 0.0319743 0.0456754i
\(172\) 7.47645 2.42925i 0.570074 0.185228i
\(173\) 16.0030 + 7.80518i 1.21669 + 0.593417i 0.931040 0.364918i \(-0.118903\pi\)
0.285646 + 0.958335i \(0.407792\pi\)
\(174\) 2.35920 1.97961i 0.178851 0.150074i
\(175\) 6.63446 + 24.0258i 0.501518 + 1.81618i
\(176\) −3.28330 1.19502i −0.247488 0.0900783i
\(177\) 2.37718 0.592697i 0.178680 0.0445498i
\(178\) −0.476219 + 2.24043i −0.0356941 + 0.167928i
\(179\) −16.5952 + 18.4309i −1.24039 + 1.37759i −0.341219 + 0.939984i \(0.610840\pi\)
−0.899167 + 0.437605i \(0.855827\pi\)
\(180\) −0.248896 0.279174i −0.0185516 0.0208084i
\(181\) 11.1742 + 5.94145i 0.830575 + 0.441625i 0.829589 0.558375i \(-0.188575\pi\)
0.000986324 1.00000i \(0.499686\pi\)
\(182\) 23.8094 13.7464i 1.76487 1.01895i
\(183\) −13.3937 + 12.0598i −0.990094 + 0.891484i
\(184\) 0.974336 + 0.0681322i 0.0718290 + 0.00502277i
\(185\) −7.31130 + 1.78480i −0.537537 + 0.131221i
\(186\) −1.02290 0.293313i −0.0750030 0.0215068i
\(187\) −21.9110 5.46303i −1.60229 0.399496i
\(188\) −2.02184 + 2.09367i −0.147458 + 0.152697i
\(189\) 21.4986 + 15.6196i 1.56379 + 1.13616i
\(190\) −9.20045 3.21742i −0.667471 0.233416i
\(191\) −4.13417 + 3.00365i −0.299138 + 0.217336i −0.727222 0.686403i \(-0.759189\pi\)
0.428084 + 0.903739i \(0.359189\pi\)
\(192\) 0.234239 1.66669i 0.0169047 0.120283i
\(193\) −6.92988 8.25872i −0.498824 0.594475i 0.456615 0.889664i \(-0.349062\pi\)
−0.955439 + 0.295189i \(0.904617\pi\)
\(194\) 0.128257 + 3.67281i 0.00920835 + 0.263693i
\(195\) −17.6559 + 10.9123i −1.26436 + 0.781449i
\(196\) −6.68678 + 16.5503i −0.477627 + 1.18217i
\(197\) −3.07455 + 14.4646i −0.219053 + 1.03056i 0.721893 + 0.692004i \(0.243272\pi\)
−0.940946 + 0.338557i \(0.890061\pi\)
\(198\) 0.581224 + 0.0610891i 0.0413058 + 0.00434141i
\(199\) 4.32219 24.5124i 0.306392 1.73764i −0.310488 0.950577i \(-0.600492\pi\)
0.616880 0.787058i \(-0.288397\pi\)
\(200\) −2.69114 + 4.21400i −0.190292 + 0.297975i
\(201\) −0.465051 0.805492i −0.0328022 0.0568150i
\(202\) 3.30750 + 7.42876i 0.232715 + 0.522686i
\(203\) −8.45743 3.41702i −0.593595 0.239828i
\(204\) 0.379625 10.8710i 0.0265791 0.761126i
\(205\) 14.6244 + 10.7354i 1.02141 + 0.749795i
\(206\) 6.22737 + 15.4133i 0.433881 + 1.07389i
\(207\) −0.160888 + 0.0283689i −0.0111825 + 0.00197177i
\(208\) 5.24518 + 1.70426i 0.363688 + 0.118169i
\(209\) 14.0187 5.95250i 0.969691 0.411743i
\(210\) 6.50313 17.5977i 0.448759 1.21436i
\(211\) 3.00775 6.16680i 0.207062 0.424540i −0.769837 0.638240i \(-0.779663\pi\)
0.976899 + 0.213700i \(0.0685516\pi\)
\(212\) 9.68501 + 2.41474i 0.665169 + 0.165845i
\(213\) 2.71849 + 1.83364i 0.186268 + 0.125639i
\(214\) 0.338352 + 0.501627i 0.0231293 + 0.0342905i
\(215\) 13.0052 + 11.8262i 0.886947 + 0.806537i
\(216\) 0.557214 + 5.30154i 0.0379136 + 0.360724i
\(217\) 0.655290 + 3.08290i 0.0444840 + 0.209281i
\(218\) 11.2628 + 1.98593i 0.762810 + 0.134504i
\(219\) 2.95922 + 1.57345i 0.199966 + 0.106324i
\(220\) −1.31887 7.70074i −0.0889180 0.519184i
\(221\) 34.8652 + 7.41082i 2.34528 + 0.498506i
\(222\) 5.25228 + 2.12206i 0.352510 + 0.142423i
\(223\) −2.37616 + 1.60274i −0.159119 + 0.107327i −0.636172 0.771548i \(-0.719483\pi\)
0.477052 + 0.878875i \(0.341705\pi\)
\(224\) −4.68436 + 1.70497i −0.312987 + 0.113918i
\(225\) 0.266242 0.792812i 0.0177495 0.0528541i
\(226\) 2.75660 + 15.6335i 0.183366 + 1.03992i
\(227\) −10.6548 + 14.6650i −0.707183 + 0.973353i 0.292671 + 0.956213i \(0.405456\pi\)
−0.999853 + 0.0171399i \(0.994544\pi\)
\(228\) 4.20866 + 6.00909i 0.278725 + 0.397962i
\(229\) −2.78578 8.57376i −0.184090 0.566570i 0.815842 0.578275i \(-0.196274\pi\)
−0.999931 + 0.0117051i \(0.996274\pi\)
\(230\) 0.947746 + 1.96765i 0.0624925 + 0.129743i
\(231\) 10.9817 + 27.1805i 0.722540 + 1.78835i
\(232\) −0.625835 1.71947i −0.0410881 0.112889i
\(233\) 21.8139 + 17.0429i 1.42907 + 1.11652i 0.974128 + 0.225996i \(0.0725638\pi\)
0.454946 + 0.890519i \(0.349658\pi\)
\(234\) −0.920235 0.0643491i −0.0601577 0.00420663i
\(235\) −6.30705 1.60548i −0.411427 0.104730i
\(236\) 0.152156 1.44767i 0.00990451 0.0942351i
\(237\) −18.2008 + 8.87711i −1.18227 + 0.576630i
\(238\) −28.9573 + 14.1234i −1.87702 + 0.915484i
\(239\) 2.74832 26.1486i 0.177774 1.69141i −0.434427 0.900707i \(-0.643049\pi\)
0.612201 0.790702i \(-0.290284\pi\)
\(240\) 3.49631 1.39266i 0.225686 0.0898956i
\(241\) −3.90191 0.272848i −0.251344 0.0175757i −0.0564712 0.998404i \(-0.517985\pi\)
−0.194873 + 0.980829i \(0.562429\pi\)
\(242\) 0.952041 + 0.743816i 0.0611995 + 0.0478143i
\(243\) −0.593815 1.63149i −0.0380933 0.104660i
\(244\) 4.01144 + 9.92867i 0.256806 + 0.635618i
\(245\) −39.5525 + 5.36069i −2.52691 + 0.342482i
\(246\) −4.21967 12.9868i −0.269037 0.828010i
\(247\) −21.7863 + 10.1622i −1.38623 + 0.646606i
\(248\) −0.371628 + 0.511503i −0.0235984 + 0.0324804i
\(249\) 1.57089 + 8.90893i 0.0995508 + 0.564581i
\(250\) −11.1666 0.554848i −0.706235 0.0350916i
\(251\) 11.2882 4.10857i 0.712504 0.259330i 0.0397641 0.999209i \(-0.487339\pi\)
0.672740 + 0.739879i \(0.265117\pi\)
\(252\) 0.691262 0.466262i 0.0435454 0.0293717i
\(253\) −3.16416 1.27840i −0.198929 0.0803726i
\(254\) −20.3262 4.32047i −1.27538 0.271091i
\(255\) 21.5320 11.3134i 1.34838 0.708472i
\(256\) −0.882948 0.469472i −0.0551842 0.0293420i
\(257\) 5.96188 + 1.05124i 0.371892 + 0.0655745i 0.356471 0.934307i \(-0.383980\pi\)
0.0154211 + 0.999881i \(0.495091\pi\)
\(258\) −2.75088 12.9419i −0.171262 0.805725i
\(259\) −1.75379 16.6862i −0.108975 1.03683i
\(260\) 2.50470 + 12.0751i 0.155335 + 0.748868i
\(261\) 0.171149 + 0.253738i 0.0105938 + 0.0157060i
\(262\) 15.7596 + 10.6300i 0.973629 + 0.656721i
\(263\) −10.1285 2.52531i −0.624548 0.155717i −0.0832232 0.996531i \(-0.526521\pi\)
−0.541325 + 0.840814i \(0.682077\pi\)
\(264\) −2.57792 + 5.28553i −0.158660 + 0.325302i
\(265\) 6.04654 + 21.4847i 0.371436 + 1.31979i
\(266\) 9.86253 19.3619i 0.604710 1.18715i
\(267\) 3.66638 + 1.19128i 0.224379 + 0.0729050i
\(268\) −0.544226 + 0.0959617i −0.0332439 + 0.00586179i
\(269\) −2.89731 7.17108i −0.176652 0.437229i 0.812717 0.582659i \(-0.197988\pi\)
−0.989368 + 0.145431i \(0.953543\pi\)
\(270\) −9.67771 + 6.95887i −0.588966 + 0.423503i
\(271\) 0.803273 23.0027i 0.0487954 1.39732i −0.690206 0.723613i \(-0.742480\pi\)
0.739001 0.673704i \(-0.235298\pi\)
\(272\) −5.99237 2.42108i −0.363341 0.146799i
\(273\) −18.8207 42.2719i −1.13908 2.55841i
\(274\) 8.67437 + 15.0245i 0.524038 + 0.907660i
\(275\) 13.4926 11.0975i 0.813633 0.669204i
\(276\) 0.285457 1.61891i 0.0171825 0.0974468i
\(277\) −10.3437 1.08716i −0.621491 0.0653213i −0.211451 0.977389i \(-0.567819\pi\)
−0.410040 + 0.912067i \(0.634485\pi\)
\(278\) −4.55016 + 21.4068i −0.272900 + 1.28389i
\(279\) 0.0396159 0.0980528i 0.00237174 0.00587027i
\(280\) −8.50362 7.20688i −0.508188 0.430693i
\(281\) −0.543810 15.5727i −0.0324410 0.928989i −0.901109 0.433593i \(-0.857245\pi\)
0.868668 0.495395i \(-0.164977\pi\)
\(282\) 3.14880 + 3.75260i 0.187509 + 0.223464i
\(283\) 1.05368 7.49735i 0.0626350 0.445671i −0.933553 0.358439i \(-0.883309\pi\)
0.996188 0.0872318i \(-0.0278021\pi\)
\(284\) 1.57619 1.14517i 0.0935295 0.0679532i
\(285\) −7.00411 + 14.8342i −0.414887 + 0.878700i
\(286\) −15.5897 11.3266i −0.921836 0.669753i
\(287\) −28.0950 + 29.0932i −1.65840 + 1.71732i
\(288\) 0.162296 + 0.0404650i 0.00956339 + 0.00238442i
\(289\) −23.8106 6.82758i −1.40062 0.401623i
\(290\) 2.64540 3.12139i 0.155343 0.183294i
\(291\) 6.17031 + 0.431470i 0.361710 + 0.0252932i
\(292\) 1.47983 1.33245i 0.0866007 0.0779756i
\(293\) −4.52653 + 2.61340i −0.264443 + 0.152676i −0.626360 0.779534i \(-0.715456\pi\)
0.361917 + 0.932210i \(0.382122\pi\)
\(294\) 26.5265 + 14.1044i 1.54705 + 0.822583i
\(295\) 2.97998 1.30927i 0.173501 0.0762284i
\(296\) 2.25211 2.50122i 0.130901 0.145381i
\(297\) 3.87250 18.2187i 0.224705 1.05715i
\(298\) 7.40603 1.84653i 0.429020 0.106967i
\(299\) 5.06183 + 1.84236i 0.292733 + 0.106546i
\(300\) 6.58016 + 5.24593i 0.379906 + 0.302874i
\(301\) −30.0198 + 25.1896i −1.73031 + 1.45190i
\(302\) −2.34941 1.14588i −0.135193 0.0659382i
\(303\) 13.0165 4.22933i 0.747780 0.242969i
\(304\) 4.21024 1.12866i 0.241474 0.0647330i
\(305\) −14.8344 + 18.7961i −0.849415 + 1.07626i
\(306\) 1.07051 + 0.150450i 0.0611969 + 0.00860066i
\(307\) −6.65774 7.93438i −0.379977 0.452839i 0.541830 0.840488i \(-0.317732\pi\)
−0.921807 + 0.387649i \(0.873287\pi\)
\(308\) 17.4070 0.607867i 0.991858 0.0346364i
\(309\) 26.8951 7.71206i 1.53001 0.438724i
\(310\) −1.40527 0.154685i −0.0798140 0.00878551i
\(311\) 6.85305 3.05117i 0.388601 0.173016i −0.203130 0.979152i \(-0.565111\pi\)
0.591731 + 0.806136i \(0.298445\pi\)
\(312\) 3.77547 8.47983i 0.213744 0.480076i
\(313\) 14.3985 7.02261i 0.813851 0.396942i 0.0160563 0.999871i \(-0.494889\pi\)
0.797794 + 0.602930i \(0.206000\pi\)
\(314\) 9.46288 9.13820i 0.534021 0.515698i
\(315\) 1.67173 + 0.825550i 0.0941913 + 0.0465145i
\(316\) 1.25765 + 11.9658i 0.0707486 + 0.673128i
\(317\) −4.47284 7.15804i −0.251220 0.402035i 0.698270 0.715835i \(-0.253954\pi\)
−0.949489 + 0.313799i \(0.898398\pi\)
\(318\) 5.74580 15.7865i 0.322208 0.885261i
\(319\) 0.223127 + 6.38953i 0.0124927 + 0.357745i
\(320\) −0.0670562 2.23506i −0.00374856 0.124944i
\(321\) 0.899176 0.478101i 0.0501871 0.0266850i
\(322\) −4.63061 + 1.50458i −0.258054 + 0.0838468i
\(323\) 26.2992 10.0988i 1.46333 0.561914i
\(324\) 8.47023 0.470568
\(325\) −20.6730 + 18.2494i −1.14673 + 1.01229i
\(326\) 8.34223 6.99996i 0.462033 0.387692i
\(327\) 5.30560 18.5028i 0.293400 1.02321i
\(328\) −8.10828 0.283148i −0.447705 0.0156342i
\(329\) 5.43519 13.4526i 0.299652 0.741664i
\(330\) −13.1219 + 0.852805i −0.722339 + 0.0469454i
\(331\) −11.9820 + 2.54686i −0.658592 + 0.139988i −0.525072 0.851058i \(-0.675962\pi\)
−0.133521 + 0.991046i \(0.542628\pi\)
\(332\) 5.29325 + 0.933344i 0.290505 + 0.0512239i
\(333\) −0.264297 + 0.497070i −0.0144834 + 0.0272393i
\(334\) 11.3822 + 5.06770i 0.622808 + 0.277292i
\(335\) −0.789631 0.950491i −0.0431421 0.0519309i
\(336\) 2.02975 + 8.14088i 0.110732 + 0.444121i
\(337\) −4.62157 16.1173i −0.251753 0.877966i −0.981048 0.193767i \(-0.937929\pi\)
0.729295 0.684200i \(-0.239848\pi\)
\(338\) 14.4389 + 9.73915i 0.785372 + 0.529740i
\(339\) 26.6531 1.86377i 1.44760 0.101226i
\(340\) −1.94094 14.3207i −0.105262 0.776651i
\(341\) 1.78720 1.29848i 0.0967822 0.0703164i
\(342\) −0.637635 + 0.353544i −0.0344793 + 0.0191175i
\(343\) 54.0878i 2.92047i
\(344\) −7.78470 1.09407i −0.419723 0.0589882i
\(345\) 3.46029 1.24022i 0.186296 0.0667713i
\(346\) −10.9618 14.0305i −0.589312 0.754284i
\(347\) −13.4627 0.470127i −0.722715 0.0252377i −0.328819 0.944393i \(-0.606651\pi\)
−0.393896 + 0.919155i \(0.628873\pi\)
\(348\) −2.98824 + 0.745052i −0.160186 + 0.0399390i
\(349\) −0.192068 + 0.332671i −0.0102812 + 0.0178075i −0.871120 0.491070i \(-0.836606\pi\)
0.860839 + 0.508877i \(0.169939\pi\)
\(350\) 4.56918 24.5026i 0.244233 1.30972i
\(351\) −5.10519 + 28.9530i −0.272495 + 1.54539i
\(352\) 2.42715 + 2.51339i 0.129367 + 0.133964i
\(353\) −0.853483 0.768479i −0.0454263 0.0409020i 0.646105 0.763249i \(-0.276397\pi\)
−0.691531 + 0.722347i \(0.743064\pi\)
\(354\) −2.39641 0.509374i −0.127368 0.0270729i
\(355\) 3.97108 + 1.79147i 0.210763 + 0.0950815i
\(356\) 1.41016 1.80493i 0.0747386 0.0956610i
\(357\) 18.5461 + 50.9549i 0.981563 + 2.69682i
\(358\) 22.9953 9.29069i 1.21534 0.491028i
\(359\) −5.53017 5.34042i −0.291871 0.281857i 0.534277 0.845309i \(-0.320584\pi\)
−0.826148 + 0.563453i \(0.809473\pi\)
\(360\) 0.101325 + 0.360028i 0.00534028 + 0.0189752i
\(361\) −10.0647 + 16.1153i −0.529721 + 0.848172i
\(362\) −7.43878 10.2386i −0.390974 0.538129i
\(363\) 1.41253 1.46272i 0.0741386 0.0767728i
\(364\) −27.4258 + 1.91780i −1.43750 + 0.100520i
\(365\) 4.22797 + 1.39675i 0.221302 + 0.0731095i
\(366\) 17.3249 4.96783i 0.905586 0.259672i
\(367\) 10.9371 + 17.5030i 0.570913 + 0.913652i 0.999946 + 0.0103630i \(0.00329872\pi\)
−0.429033 + 0.903289i \(0.641146\pi\)
\(368\) −0.845860 0.488357i −0.0440935 0.0254574i
\(369\) 1.32740 0.282148i 0.0691017 0.0146880i
\(370\) 7.35376 + 1.60090i 0.382304 + 0.0832266i
\(371\) −49.2734 + 6.92493i −2.55815 + 0.359525i
\(372\) 0.790800 + 0.712039i 0.0410011 + 0.0369175i
\(373\) 5.75473 + 12.9253i 0.297969 + 0.669249i 0.999038 0.0438440i \(-0.0139604\pi\)
−0.701070 + 0.713093i \(0.747294\pi\)
\(374\) 17.2986 + 14.5153i 0.894492 + 0.750568i
\(375\) −2.89326 + 18.5936i −0.149407 + 0.960168i
\(376\) 2.73502 0.995467i 0.141048 0.0513373i
\(377\) −0.703958 10.0671i −0.0362557 0.518481i
\(378\) −12.4756 23.4632i −0.641675 1.20681i
\(379\) 6.46402 + 19.8942i 0.332034 + 1.02190i 0.968164 + 0.250315i \(0.0805342\pi\)
−0.636130 + 0.771582i \(0.719466\pi\)
\(380\) 6.85889 + 6.92500i 0.351853 + 0.355245i
\(381\) −10.8078 + 33.2630i −0.553701 + 1.70412i
\(382\) 5.03248 0.887361i 0.257484 0.0454014i
\(383\) 1.20975 0.488770i 0.0618152 0.0249750i −0.343491 0.939156i \(-0.611609\pi\)
0.405306 + 0.914181i \(0.367165\pi\)
\(384\) −0.941163 + 1.39533i −0.0480285 + 0.0712052i
\(385\) 20.4762 + 33.1300i 1.04357 + 1.68846i
\(386\) 2.60816 + 10.4607i 0.132752 + 0.532438i
\(387\) 1.30770 0.137445i 0.0664740 0.00698670i
\(388\) 1.49478 3.35733i 0.0758859 0.170442i
\(389\) −0.0618953 + 0.0597716i −0.00313822 + 0.00303054i −0.696226 0.717823i \(-0.745139\pi\)
0.693088 + 0.720853i \(0.256250\pi\)
\(390\) 20.6526 2.06813i 1.04579 0.104724i
\(391\) −5.76675 2.56752i −0.291637 0.129845i
\(392\) 13.2652 11.9441i 0.669995 0.603266i
\(393\) 20.5656 24.5091i 1.03740 1.23632i
\(394\) 9.10426 11.6529i 0.458666 0.587066i
\(395\) −21.8430 + 15.7065i −1.09904 + 0.790277i
\(396\) −0.495621 0.309698i −0.0249059 0.0155629i
\(397\) −9.81401 18.4575i −0.492551 0.926354i −0.997983 0.0634869i \(-0.979778\pi\)
0.505432 0.862867i \(-0.331333\pi\)
\(398\) −14.6303 + 20.1368i −0.733349 + 1.00937i
\(399\) −30.6739 19.9147i −1.53561 0.996984i
\(400\) 4.26607 2.60780i 0.213304 0.130390i
\(401\) −1.57952 8.95792i −0.0788776 0.447337i −0.998511 0.0545584i \(-0.982625\pi\)
0.919633 0.392779i \(-0.128486\pi\)
\(402\) 0.0648806 + 0.927836i 0.00323595 + 0.0462763i
\(403\) −2.74775 + 2.14677i −0.136875 + 0.106938i
\(404\) 0.283795 8.12683i 0.0141193 0.404325i
\(405\) 9.38929 + 16.4489i 0.466558 + 0.817350i
\(406\) 6.10356 + 6.77869i 0.302915 + 0.336421i
\(407\) −10.1844 + 5.87996i −0.504821 + 0.291459i
\(408\) −5.10676 + 9.60442i −0.252822 + 0.475490i
\(409\) −11.4290 23.4328i −0.565125 1.15868i −0.969728 0.244186i \(-0.921479\pi\)
0.404603 0.914492i \(-0.367410\pi\)
\(410\) −8.43821 16.0598i −0.416734 0.793139i
\(411\) 26.6748 11.8764i 1.31577 0.585819i
\(412\) 1.15961 16.5833i 0.0571301 0.816999i
\(413\) 2.00012 + 6.97526i 0.0984197 + 0.343230i
\(414\) 0.157041 + 0.0450308i 0.00771815 + 0.00221314i
\(415\) 4.05508 + 11.3139i 0.199056 + 0.555378i
\(416\) −3.96724 3.83112i −0.194510 0.187836i
\(417\) 35.0313 + 11.3824i 1.71549 + 0.557397i
\(418\) −15.2093 0.795303i −0.743911 0.0388996i
\(419\) −5.11197 + 15.7330i −0.249736 + 0.768609i 0.745085 + 0.666969i \(0.232409\pi\)
−0.994821 + 0.101640i \(0.967591\pi\)
\(420\) −13.5593 + 12.9659i −0.661626 + 0.632671i
\(421\) −7.03688 4.39713i −0.342957 0.214303i 0.347495 0.937682i \(-0.387032\pi\)
−0.690451 + 0.723379i \(0.742588\pi\)
\(422\) −5.40669 + 4.22417i −0.263194 + 0.205629i
\(423\) −0.403602 + 0.272233i −0.0196238 + 0.0132364i
\(424\) −7.64627 6.41599i −0.371336 0.311588i
\(425\) 25.6588 19.6438i 1.24463 0.952867i
\(426\) −1.63954 2.83977i −0.0794362 0.137588i
\(427\) −37.0818 38.3993i −1.79451 1.85827i
\(428\) −0.0842097 0.599183i −0.00407043 0.0289626i
\(429\) −21.7017 + 24.1021i −1.04777 + 1.16366i
\(430\) −6.50474 16.3304i −0.313687 0.787521i
\(431\) 9.72604 6.07750i 0.468487 0.292743i −0.275060 0.961427i \(-0.588698\pi\)
0.743547 + 0.668684i \(0.233142\pi\)
\(432\) 1.82322 5.00926i 0.0877197 0.241008i
\(433\) 22.8064 0.796417i 1.09601 0.0382733i 0.518818 0.854885i \(-0.326372\pi\)
0.577187 + 0.816612i \(0.304150\pi\)
\(434\) 0.762482 3.05815i 0.0366003 0.146796i
\(435\) −4.75934 4.97715i −0.228193 0.238636i
\(436\) −9.25232 6.72221i −0.443106 0.321935i
\(437\) 4.14817 0.958192i 0.198434 0.0458365i
\(438\) −1.96998 2.71144i −0.0941291 0.129558i
\(439\) 6.81924 13.9815i 0.325464 0.667301i −0.671838 0.740698i \(-0.734495\pi\)
0.997303 + 0.0733969i \(0.0233840\pi\)
\(440\) −2.19039 + 7.49953i −0.104423 + 0.357526i
\(441\) −1.66958 + 2.47525i −0.0795038 + 0.117869i
\(442\) −28.0879 21.9447i −1.33601 1.04380i
\(443\) −7.59981 + 9.05710i −0.361078 + 0.430316i −0.915747 0.401755i \(-0.868400\pi\)
0.554669 + 0.832071i \(0.312845\pi\)
\(444\) −3.79047 4.20974i −0.179888 0.199785i
\(445\) 5.06828 + 0.737713i 0.240259 + 0.0349710i
\(446\) 2.83827 0.398893i 0.134396 0.0188881i
\(447\) −1.78789 12.7215i −0.0845641 0.601705i
\(448\) 4.95768 + 0.521073i 0.234228 + 0.0246184i
\(449\) −4.74489 + 8.21839i −0.223925 + 0.387850i −0.955996 0.293378i \(-0.905220\pi\)
0.732071 + 0.681228i \(0.238554\pi\)
\(450\) −0.586843 + 0.595862i −0.0276640 + 0.0280892i
\(451\) 26.6382 + 9.69550i 1.25434 + 0.456543i
\(452\) 4.37564 15.2597i 0.205813 0.717755i
\(453\) −2.33137 + 3.73097i −0.109537 + 0.175296i
\(454\) 16.0052 8.51011i 0.751161 0.399399i
\(455\) −34.1259 51.1340i −1.59985 2.39720i
\(456\) −1.14850 7.24589i −0.0537836 0.339320i
\(457\) 10.6596i 0.498636i 0.968422 + 0.249318i \(0.0802065\pi\)
−0.968422 + 0.249318i \(0.919794\pi\)
\(458\) −1.25464 + 8.92726i −0.0586257 + 0.417143i
\(459\) 8.33481 33.4291i 0.389036 1.56034i
\(460\) 0.0107313 2.18397i 0.000500351 0.101828i
\(461\) −21.7232 32.2059i −1.01175 1.49998i −0.859171 0.511689i \(-0.829020\pi\)
−0.152579 0.988291i \(-0.548758\pi\)
\(462\) 2.04492 29.2438i 0.0951384 1.36054i
\(463\) 2.01706 0.212002i 0.0937409 0.00985257i −0.0575419 0.998343i \(-0.518326\pi\)
0.151283 + 0.988491i \(0.451660\pi\)
\(464\) −0.191268 + 1.81980i −0.00887940 + 0.0844819i
\(465\) −0.506148 + 2.32500i −0.0234720 + 0.107819i
\(466\) −12.1351 24.8806i −0.562147 1.15257i
\(467\) −0.113603 0.534461i −0.00525693 0.0247319i 0.975441 0.220261i \(-0.0706909\pi\)
−0.980698 + 0.195529i \(0.937358\pi\)
\(468\) 0.798893 + 0.461241i 0.0369289 + 0.0213209i
\(469\) 2.33621 1.45983i 0.107876 0.0674086i
\(470\) 4.96495 + 4.20783i 0.229016 + 0.194093i
\(471\) −13.6312 17.4472i −0.628093 0.803922i
\(472\) −0.771373 + 1.23445i −0.0355053 + 0.0568204i
\(473\) 24.6873 + 12.0408i 1.13513 + 0.553638i
\(474\) 20.2502 0.930124
\(475\) −5.84498 + 20.9961i −0.268186 + 0.963367i
\(476\) 32.2179 1.47671
\(477\) 1.50058 + 0.731883i 0.0687070 + 0.0335106i
\(478\) −13.9329 + 22.2974i −0.637278 + 1.01986i
\(479\) 22.9332 + 29.3532i 1.04785 + 1.34118i 0.937770 + 0.347258i \(0.112887\pi\)
0.110076 + 0.993923i \(0.464891\pi\)
\(480\) −3.75296 0.280970i −0.171299 0.0128245i
\(481\) 15.7418 9.83655i 0.717763 0.448508i
\(482\) 3.38740 + 1.95572i 0.154292 + 0.0890805i
\(483\) 1.70378 + 8.01566i 0.0775248 + 0.364725i
\(484\) −0.529621 1.08588i −0.0240737 0.0493584i
\(485\) 8.17677 0.818812i 0.371288 0.0371804i
\(486\) −0.181482 + 1.72669i −0.00823220 + 0.0783242i
\(487\) 23.4837 2.46823i 1.06415 0.111846i 0.443762 0.896145i \(-0.353643\pi\)
0.620384 + 0.784298i \(0.286977\pi\)
\(488\) 0.746982 10.6823i 0.0338143 0.483567i
\(489\) −10.2493 15.1952i −0.463488 0.687149i
\(490\) 37.8995 + 12.5205i 1.71212 + 0.565619i
\(491\) 1.95756 7.85135i 0.0883436 0.354327i −0.909813 0.415018i \(-0.863775\pi\)
0.998157 + 0.0606918i \(0.0193307\pi\)
\(492\) −1.90043 + 13.5223i −0.0856780 + 0.609631i
\(493\) 11.8261i 0.532620i
\(494\) 24.0362 + 0.416744i 1.08144 + 0.0187502i
\(495\) 0.0520239 1.30578i 0.00233830 0.0586904i
\(496\) 0.558245 0.296824i 0.0250660 0.0133278i
\(497\) −5.14665 + 8.23635i −0.230859 + 0.369451i
\(498\) 2.49352 8.69593i 0.111737 0.389674i
\(499\) −23.7336 8.63831i −1.06246 0.386704i −0.249108 0.968476i \(-0.580137\pi\)
−0.813352 + 0.581772i \(0.802360\pi\)
\(500\) 9.79321 + 5.39379i 0.437966 + 0.241218i
\(501\) 10.4851 18.1606i 0.468437 0.811358i
\(502\) −11.9468 1.25566i −0.533213 0.0560430i
\(503\) 3.05366 + 21.7279i 0.136156 + 0.968799i 0.931784 + 0.363014i \(0.118252\pi\)
−0.795628 + 0.605786i \(0.792859\pi\)
\(504\) −0.825698 + 0.116044i −0.0367795 + 0.00516902i
\(505\) 16.0966 8.45752i 0.716289 0.376355i
\(506\) 2.28351 + 2.53610i 0.101515 + 0.112743i
\(507\) 18.8421 22.4552i 0.836808 0.997269i
\(508\) 16.3751 + 12.7936i 0.726529 + 0.567626i
\(509\) 13.7596 20.3995i 0.609886 0.904193i −0.389976 0.920825i \(-0.627517\pi\)
0.999862 + 0.0166323i \(0.00529448\pi\)
\(510\) −24.3123 + 0.729416i −1.07657 + 0.0322991i
\(511\) −4.35157 + 8.92203i −0.192502 + 0.394687i
\(512\) 0.587785 + 0.809017i 0.0259767 + 0.0357538i
\(513\) 9.08159 + 21.3879i 0.400962 + 0.944300i
\(514\) −4.89767 3.55836i −0.216027 0.156953i
\(515\) 33.4895 16.1307i 1.47572 0.710804i
\(516\) −3.20087 + 12.8380i −0.140910 + 0.565160i
\(517\) −10.1633 + 0.354911i −0.446982 + 0.0156090i
\(518\) −5.73845 + 15.7663i −0.252133 + 0.692730i
\(519\) −25.4135 + 15.8801i −1.11553 + 0.697060i
\(520\) 3.04218 11.9510i 0.133408 0.524088i
\(521\) 20.6177 22.8983i 0.903280 1.00319i −0.0966890 0.995315i \(-0.530825\pi\)
0.999969 0.00787934i \(-0.00250810\pi\)
\(522\) −0.0425959 0.303085i −0.00186437 0.0132657i
\(523\) 1.18081 + 1.22276i 0.0516330 + 0.0534676i 0.744659 0.667445i \(-0.232612\pi\)
−0.693026 + 0.720912i \(0.743723\pi\)
\(524\) −9.50473 16.4627i −0.415216 0.719176i
\(525\) −40.2098 11.9589i −1.75490 0.521927i
\(526\) 7.99638 + 6.70976i 0.348659 + 0.292559i
\(527\) 3.38764 2.28499i 0.147568 0.0995359i
\(528\) 4.63404 3.62051i 0.201671 0.157563i
\(529\) 18.6961 + 11.6826i 0.812874 + 0.507940i
\(530\) 3.98366 21.9609i 0.173039 0.953922i
\(531\) 0.0752386 0.231561i 0.00326508 0.0100489i
\(532\) −17.3521 + 13.0789i −0.752308 + 0.567043i
\(533\) −42.5553 13.8271i −1.84328 0.598917i
\(534\) −2.77310 2.67795i −0.120004 0.115886i
\(535\) 1.07024 0.827730i 0.0462707 0.0357859i
\(536\) 0.531214 + 0.152323i 0.0229449 + 0.00657935i
\(537\) −11.5057 40.1252i −0.496508 1.73153i
\(538\) −0.539515 + 7.71542i −0.0232601 + 0.332635i
\(539\) −56.9766 + 25.3676i −2.45416 + 1.09266i
\(540\) 11.7488 2.01216i 0.505589 0.0865897i
\(541\) −4.04630 8.29614i −0.173964 0.356679i 0.793941 0.607994i \(-0.208026\pi\)
−0.967905 + 0.251316i \(0.919137\pi\)
\(542\) −10.8057 + 20.3226i −0.464145 + 0.872930i
\(543\) −18.4466 + 10.6502i −0.791620 + 0.457042i
\(544\) 4.32458 + 4.80293i 0.185415 + 0.205924i
\(545\) 2.79802 25.4193i 0.119854 1.08884i
\(546\) −1.61488 + 46.2442i −0.0691106 + 1.97907i
\(547\) −6.18704 + 4.83385i −0.264539 + 0.206680i −0.739196 0.673490i \(-0.764794\pi\)
0.474657 + 0.880171i \(0.342572\pi\)
\(548\) −1.21019 17.3065i −0.0516966 0.739296i
\(549\) 0.311028 + 1.76393i 0.0132744 + 0.0752826i
\(550\) −16.9919 + 4.05961i −0.724536 + 0.173102i
\(551\) −4.80082 6.36935i −0.204522 0.271344i
\(552\) −0.966250 + 1.32993i −0.0411263 + 0.0566055i
\(553\) −28.1579 52.9573i −1.19740 2.25197i
\(554\) 8.82025 + 5.51150i 0.374737 + 0.234161i
\(555\) 3.97340 12.0275i 0.168662 0.510537i
\(556\) 13.4738 17.2456i 0.571415 0.731378i
\(557\) 4.00822 4.77681i 0.169834 0.202400i −0.674414 0.738354i \(-0.735604\pi\)
0.844247 + 0.535954i \(0.180048\pi\)
\(558\) −0.0785901 + 0.0707628i −0.00332698 + 0.00299563i
\(559\) −39.6071 17.6342i −1.67520 0.745849i
\(560\) 4.48371 + 10.2052i 0.189471 + 0.431250i
\(561\) 27.3398 26.4017i 1.15429 1.11468i
\(562\) −6.33784 + 14.2350i −0.267346 + 0.600469i
\(563\) −9.28272 + 0.975653i −0.391220 + 0.0411189i −0.298097 0.954536i \(-0.596352\pi\)
−0.0931234 + 0.995655i \(0.529685\pi\)
\(564\) −1.18510 4.75316i −0.0499015 0.200144i
\(565\) 34.4842 8.41811i 1.45076 0.354152i
\(566\) −4.23366 + 6.27667i −0.177954 + 0.263828i
\(567\) −39.1494 + 15.8174i −1.64412 + 0.664268i
\(568\) −1.91868 + 0.338314i −0.0805059 + 0.0141954i
\(569\) 6.26257 19.2742i 0.262541 0.808017i −0.729709 0.683758i \(-0.760345\pi\)
0.992250 0.124259i \(-0.0396554\pi\)
\(570\) 12.7981 10.2625i 0.536054 0.429847i
\(571\) −2.40697 7.40788i −0.100728 0.310010i 0.887976 0.459890i \(-0.152111\pi\)
−0.988704 + 0.149880i \(0.952111\pi\)
\(572\) 9.04667 + 17.0143i 0.378260 + 0.711404i
\(573\) −0.599954 8.57974i −0.0250634 0.358424i
\(574\) 38.0053 13.8328i 1.58631 0.577369i
\(575\) 4.25309 2.40011i 0.177366 0.100091i
\(576\) −0.128132 0.107516i −0.00533884 0.00447982i
\(577\) −14.4112 32.3680i −0.599944 1.34750i −0.916923 0.399065i \(-0.869335\pi\)
0.316978 0.948433i \(-0.397332\pi\)
\(578\) 18.4078 + 16.5745i 0.765664 + 0.689407i
\(579\) 17.9686 2.52532i 0.746750 0.104949i
\(580\) −3.74599 + 1.64582i −0.155544 + 0.0683388i
\(581\) −26.2084 + 5.57076i −1.08731 + 0.231114i
\(582\) −5.35670 3.09269i −0.222042 0.128196i
\(583\) 18.4812 + 29.5761i 0.765414 + 1.22492i
\(584\) −1.91417 + 0.548880i −0.0792090 + 0.0227128i
\(585\) −0.0101355 + 2.06271i −0.000419050 + 0.0852825i
\(586\) 5.21406 0.364603i 0.215391 0.0150616i
\(587\) 8.98483 9.30406i 0.370843 0.384020i −0.507818 0.861464i \(-0.669548\pi\)
0.878662 + 0.477444i \(0.158437\pi\)
\(588\) −17.6589 24.3054i −0.728240 1.00234i
\(589\) −0.896936 + 2.60588i −0.0369576 + 0.107373i
\(590\) −3.25233 0.129577i −0.133896 0.00533461i
\(591\) −17.9036 17.2893i −0.736455 0.711186i
\(592\) −3.12065 + 1.26082i −0.128258 + 0.0518195i
\(593\) 15.1911 + 41.7372i 0.623823 + 1.71394i 0.697430 + 0.716653i \(0.254327\pi\)
−0.0736062 + 0.997287i \(0.523451\pi\)
\(594\) −11.4671 + 14.6772i −0.470502 + 0.602215i
\(595\) 35.7137 + 62.5660i 1.46412 + 2.56495i
\(596\) −7.46596 1.58694i −0.305818 0.0650036i
\(597\) 31.1322 + 28.0316i 1.27416 + 1.14726i
\(598\) −3.74191 3.87486i −0.153018 0.158455i
\(599\) 4.91705 27.8860i 0.200905 1.13939i −0.702849 0.711339i \(-0.748089\pi\)
0.903754 0.428052i \(-0.140800\pi\)
\(600\) −3.61455 7.59957i −0.147563 0.310251i
\(601\) −21.1739 + 36.6742i −0.863700 + 1.49597i 0.00463288 + 0.999989i \(0.498525\pi\)
−0.868333 + 0.495982i \(0.834808\pi\)
\(602\) 38.0240 9.48044i 1.54974 0.386394i
\(603\) −0.0923776 0.00322590i −0.00376191 0.000131369i
\(604\) 1.60931 + 2.05983i 0.0654820 + 0.0838131i
\(605\) 1.52166 2.23221i 0.0618642 0.0907523i
\(606\) −13.5532 1.90478i −0.550561 0.0773763i
\(607\) 10.7336i 0.435665i 0.975986 + 0.217833i \(0.0698987\pi\)
−0.975986 + 0.217833i \(0.930101\pi\)
\(608\) −4.27891 0.831217i −0.173533 0.0337103i
\(609\) 12.4203 9.02390i 0.503297 0.365667i
\(610\) 21.5727 10.3908i 0.873454 0.420712i
\(611\) 16.0129 1.11973i 0.647813 0.0452995i
\(612\) −0.896213 0.604503i −0.0362273 0.0244356i
\(613\) −2.29152 7.99149i −0.0925537 0.322773i 0.901340 0.433111i \(-0.142584\pi\)
−0.993894 + 0.110338i \(0.964807\pi\)
\(614\) 2.50573 + 10.0499i 0.101123 + 0.405582i
\(615\) −28.3664 + 11.2989i −1.14384 + 0.455617i
\(616\) −15.9118 7.08439i −0.641105 0.285438i
\(617\) −0.336248 + 0.632390i −0.0135368 + 0.0254591i −0.889624 0.456693i \(-0.849034\pi\)
0.876087 + 0.482152i \(0.160145\pi\)
\(618\) −27.5539 4.85850i −1.10838 0.195438i
\(619\) −17.9917 + 3.82426i −0.723148 + 0.153710i −0.554759 0.832011i \(-0.687190\pi\)
−0.168389 + 0.985721i \(0.553856\pi\)
\(620\) 1.19524 + 0.755060i 0.0480020 + 0.0303239i
\(621\) 1.95043 4.82749i 0.0782681 0.193720i
\(622\) −7.49703 0.261802i −0.300603 0.0104973i
\(623\) −3.14724 + 10.9757i −0.126092 + 0.439734i
\(624\) −7.11068 + 5.96657i −0.284655 + 0.238854i
\(625\) 0.381287 + 24.9971i 0.0152515 + 0.999884i
\(626\) −16.0198 −0.640279
\(627\) −4.00698 + 25.3182i −0.160023 + 1.01111i
\(628\) −12.5111 + 4.06510i −0.499247 + 0.162215i
\(629\) −19.2064 + 10.2122i −0.765811 + 0.407189i
\(630\) −1.14064 1.47484i −0.0454443 0.0587589i
\(631\) −0.824243 23.6032i −0.0328126 0.939629i −0.898481 0.439012i \(-0.855329\pi\)
0.865669 0.500617i \(-0.166894\pi\)
\(632\) 4.11508 11.3061i 0.163689 0.449732i
\(633\) 6.11945 + 9.79316i 0.243226 + 0.389243i
\(634\) 0.882283 + 8.39436i 0.0350399 + 0.333383i
\(635\) −6.69287 + 45.9817i −0.265598 + 1.82473i
\(636\) −12.0846 + 11.6700i −0.479186 + 0.462745i
\(637\) 88.4822 43.1556i 3.50579 1.70989i
\(638\) 2.60044 5.84068i 0.102952 0.231235i
\(639\) 0.297704 0.132546i 0.0117770 0.00524345i
\(640\) −0.919517 + 2.03826i −0.0363471 + 0.0805692i
\(641\) 18.3285 5.25563i 0.723934 0.207585i 0.106618 0.994300i \(-0.465998\pi\)
0.617316 + 0.786715i \(0.288220\pi\)
\(642\) −1.01776 + 0.0355410i −0.0401678 + 0.00140269i
\(643\) 26.0706 + 31.0697i 1.02812 + 1.22527i 0.973956 + 0.226738i \(0.0728060\pi\)
0.0541674 + 0.998532i \(0.482750\pi\)
\(644\) 4.82153 + 0.677622i 0.189995 + 0.0267020i
\(645\) −28.4790 + 8.01500i −1.12136 + 0.315590i
\(646\) −28.0646 2.45203i −1.10419 0.0964738i
\(647\) 23.9772 7.79065i 0.942639 0.306282i 0.202918 0.979196i \(-0.434957\pi\)
0.739721 + 0.672914i \(0.234957\pi\)
\(648\) −7.61299 3.71310i −0.299067 0.145864i
\(649\) 3.89613 3.26924i 0.152937 0.128329i
\(650\) 26.5807 7.34000i 1.04258 0.287898i
\(651\) −4.98475 1.81430i −0.195368 0.0711080i
\(652\) −10.5665 + 2.63453i −0.413817 + 0.103176i
\(653\) −4.31185 + 20.2856i −0.168736 + 0.793839i 0.809628 + 0.586944i \(0.199669\pi\)
−0.978363 + 0.206895i \(0.933664\pi\)
\(654\) −12.8797 + 14.3044i −0.503638 + 0.559346i
\(655\) 21.4339 36.7068i 0.837490 1.43425i
\(656\) 7.16355 + 3.80893i 0.279690 + 0.148714i
\(657\) 0.288452 0.166538i 0.0112536 0.00649727i
\(658\) −10.7823 + 9.70846i −0.420339 + 0.378475i
\(659\) 28.8434 + 2.01693i 1.12358 + 0.0785684i 0.619433 0.785049i \(-0.287362\pi\)
0.504147 + 0.863618i \(0.331807\pi\)
\(660\) 12.1678 + 4.98578i 0.473629 + 0.194071i
\(661\) 17.3125 + 4.96427i 0.673377 + 0.193088i 0.594865 0.803825i \(-0.297205\pi\)
0.0785117 + 0.996913i \(0.474983\pi\)
\(662\) 11.8859 + 2.96348i 0.461957 + 0.115179i
\(663\) −41.6737 + 43.1543i −1.61847 + 1.67598i
\(664\) −4.34839 3.15929i −0.168750 0.122604i
\(665\) −44.6336 19.1990i −1.73082 0.744507i
\(666\) 0.455450 0.330904i 0.0176483 0.0128223i
\(667\) −0.248732 + 1.76982i −0.00963093 + 0.0685277i
\(668\) −8.00875 9.54446i −0.309868 0.369286i
\(669\) −0.168354 4.82103i −0.00650894 0.186392i
\(670\) 0.293048 + 1.20045i 0.0113214 + 0.0463773i
\(671\) −14.0161 + 34.6910i −0.541084 + 1.33923i
\(672\) 1.74440 8.20676i 0.0672917 0.316583i
\(673\) −1.13108 0.118881i −0.0436000 0.00458254i 0.0827034 0.996574i \(-0.473645\pi\)
−0.126303 + 0.991992i \(0.540311\pi\)
\(674\) −2.91153 + 16.5121i −0.112148 + 0.636023i
\(675\) 16.9312 + 20.5853i 0.651682 + 0.792328i
\(676\) −8.70822 15.0831i −0.334932 0.580119i
\(677\) −12.7819 28.7085i −0.491247 1.10336i −0.973782 0.227482i \(-0.926951\pi\)
0.482536 0.875876i \(-0.339716\pi\)
\(678\) −24.7727 10.0088i −0.951389 0.384386i
\(679\) −0.639362 + 18.3089i −0.0245365 + 0.702633i
\(680\) −4.53329 + 13.7222i −0.173844 + 0.526224i
\(681\) −11.4289 28.2875i −0.437956 1.08398i
\(682\) −2.17554 + 0.383606i −0.0833057 + 0.0146890i
\(683\) −4.68370 1.52183i −0.179217 0.0582310i 0.218034 0.975941i \(-0.430036\pi\)
−0.397251 + 0.917710i \(0.630036\pi\)
\(684\) 0.728086 0.0382427i 0.0278391 0.00146224i
\(685\) 32.2670 21.5345i 1.23286 0.822790i
\(686\) −23.7105 + 48.6138i −0.905272 + 1.85608i
\(687\) 14.7222 + 3.67065i 0.561686 + 0.140044i
\(688\) 6.51724 + 4.39593i 0.248467 + 0.167593i
\(689\) −30.7831 45.6378i −1.17274 1.73866i
\(690\) −3.65376 0.402187i −0.139096 0.0153110i
\(691\) −4.26484 40.5772i −0.162242 1.54363i −0.708317 0.705894i \(-0.750545\pi\)
0.546075 0.837736i \(-0.316121\pi\)
\(692\) 3.70186 + 17.4159i 0.140724 + 0.662053i
\(693\) 2.86909 + 0.505899i 0.108988 + 0.0192175i
\(694\) 11.8941 + 6.32420i 0.451493 + 0.240063i
\(695\) 48.4261 + 7.04867i 1.83691 + 0.267371i
\(696\) 3.01242 + 0.640310i 0.114186 + 0.0242709i
\(697\) 48.6175 + 19.6427i 1.84152 + 0.744022i
\(698\) 0.318463 0.214806i 0.0120540 0.00813053i
\(699\) −43.7814 + 15.9351i −1.65596 + 0.602722i
\(700\) −14.8480 + 20.0198i −0.561201 + 0.756676i
\(701\) −1.63876 9.29390i −0.0618953 0.351026i −0.999989 0.00464466i \(-0.998522\pi\)
0.938094 0.346381i \(-0.112590\pi\)
\(702\) 17.2807 23.7848i 0.652216 0.897699i
\(703\) 6.19862 13.2970i 0.233785 0.501508i
\(704\) −1.07971 3.32301i −0.0406931 0.125241i
\(705\) 7.91677 7.57031i 0.298163 0.285114i
\(706\) 0.430226 + 1.06485i 0.0161918 + 0.0400760i
\(707\) 13.8644 + 38.0922i 0.521426 + 1.43261i
\(708\) 1.93059 + 1.50834i 0.0725559 + 0.0566869i
\(709\) 11.4097 + 0.797841i 0.428499 + 0.0299636i 0.282378 0.959303i \(-0.408877\pi\)
0.146121 + 0.989267i \(0.453321\pi\)
\(710\) −2.78386 3.35097i −0.104476 0.125760i
\(711\) −0.210361 + 2.00145i −0.00788916 + 0.0750603i
\(712\) −2.05868 + 1.00408i −0.0771521 + 0.0376296i
\(713\) 0.555032 0.270707i 0.0207861 0.0101381i
\(714\) 5.66807 53.9281i 0.212122 2.01821i
\(715\) −23.0129 + 36.4287i −0.860632 + 1.36236i
\(716\) −24.7408 1.73004i −0.924606 0.0646548i
\(717\) 34.8713 + 27.2445i 1.30229 + 1.01746i
\(718\) 2.62940 + 7.22421i 0.0981282 + 0.269605i
\(719\) −0.361462 0.894650i −0.0134803 0.0333648i 0.920294 0.391228i \(-0.127950\pi\)
−0.933774 + 0.357864i \(0.883505\pi\)
\(720\) 0.0667561 0.368009i 0.00248785 0.0137149i
\(721\) 25.6080 + 78.8133i 0.953692 + 2.93516i
\(722\) 16.1106 10.0722i 0.599573 0.374850i
\(723\) 3.86953 5.32595i 0.143909 0.198074i
\(724\) 2.19762 + 12.4633i 0.0816741 + 0.463197i
\(725\) −7.34857 5.45018i −0.272919 0.202415i
\(726\) −1.91079 + 0.695469i −0.0709159 + 0.0258113i
\(727\) −20.1596 + 13.5978i −0.747679 + 0.504316i −0.872952 0.487807i \(-0.837797\pi\)
0.125273 + 0.992122i \(0.460019\pi\)
\(728\) 25.4909 + 10.2990i 0.944754 + 0.381705i
\(729\) 27.7137 + 5.89073i 1.02643 + 0.218175i
\(730\) −3.18777 3.10881i −0.117985 0.115062i
\(731\) 44.8598 + 23.8524i 1.65920 + 0.882212i
\(732\) −17.7492 3.12967i −0.656031 0.115676i
\(733\) −1.22620 5.76882i −0.0452908 0.213076i 0.949683 0.313213i \(-0.101405\pi\)
−0.994974 + 0.100137i \(0.968072\pi\)
\(734\) −2.15739 20.5262i −0.0796306 0.757634i
\(735\) 27.6251 61.2355i 1.01897 2.25870i
\(736\) 0.546172 + 0.809733i 0.0201322 + 0.0298472i
\(737\) −1.60076 1.07973i −0.0589648 0.0397723i
\(738\) −1.31674 0.328301i −0.0484701 0.0120849i
\(739\) −23.0055 + 47.1683i −0.846272 + 1.73511i −0.188243 + 0.982123i \(0.560279\pi\)
−0.658029 + 0.752992i \(0.728610\pi\)
\(740\) −5.90773 4.66255i −0.217172 0.171399i
\(741\) 4.92623 40.1597i 0.180970 1.47531i
\(742\) 47.3224 + 15.3760i 1.73726 + 0.564470i
\(743\) 20.0369 3.53305i 0.735083 0.129615i 0.206440 0.978459i \(-0.433812\pi\)
0.528643 + 0.848844i \(0.322701\pi\)
\(744\) −0.398629 0.986641i −0.0146144 0.0361720i
\(745\) −5.19428 16.2577i −0.190304 0.595638i
\(746\) 0.493777 14.1399i 0.0180785 0.517700i
\(747\) 0.833568 + 0.336783i 0.0304987 + 0.0123223i
\(748\) −9.18484 20.6295i −0.335831 0.754289i
\(749\) 1.50814 + 2.61217i 0.0551062 + 0.0954467i
\(750\) 10.7513 15.4435i 0.392583 0.563916i
\(751\) −0.532299 + 3.01882i −0.0194239 + 0.110158i −0.992978 0.118297i \(-0.962256\pi\)
0.973554 + 0.228455i \(0.0733675\pi\)
\(752\) −2.89461 0.304235i −0.105555 0.0110943i
\(753\) −4.20359 + 19.7763i −0.153187 + 0.720690i
\(754\) −3.78040 + 9.35682i −0.137674 + 0.340755i
\(755\) −2.21617 + 5.40855i −0.0806548 + 0.196837i
\(756\) 0.927408 + 26.5575i 0.0337295 + 0.965887i
\(757\) 12.7067 + 15.1433i 0.461834 + 0.550392i 0.945823 0.324682i \(-0.105257\pi\)
−0.483990 + 0.875074i \(0.660813\pi\)
\(758\) 2.91122 20.7144i 0.105740 0.752382i
\(759\) 4.64680 3.37609i 0.168668 0.122544i
\(760\) −3.12900 9.23089i −0.113501 0.334840i
\(761\) −4.96989 3.61084i −0.180159 0.130893i 0.494051 0.869433i \(-0.335516\pi\)
−0.674210 + 0.738540i \(0.735516\pi\)
\(762\) 24.2956 25.1588i 0.880135 0.911406i
\(763\) 55.3174 + 13.7922i 2.00262 + 0.499310i
\(764\) −4.91215 1.40854i −0.177715 0.0509591i
\(765\) 0.180465 2.41051i 0.00652474 0.0871521i
\(766\) −1.30158 0.0910151i −0.0470278 0.00328851i
\(767\) −5.96598 + 5.37180i −0.215419 + 0.193964i
\(768\) 1.45758 0.841537i 0.0525960 0.0303663i
\(769\) −17.0660 9.07414i −0.615414 0.327222i 0.132333 0.991205i \(-0.457753\pi\)
−0.747747 + 0.663984i \(0.768864\pi\)
\(770\) −3.88070 38.7532i −0.139851 1.39657i
\(771\) −6.81782 + 7.57195i −0.245538 + 0.272697i
\(772\) 2.24149 10.5454i 0.0806731 0.379537i
\(773\) −1.33542 + 0.332957i −0.0480317 + 0.0119756i −0.265864 0.964011i \(-0.585657\pi\)
0.217832 + 0.975986i \(0.430102\pi\)
\(774\) −1.23560 0.449723i −0.0444128 0.0161650i
\(775\) −0.141368 + 3.15810i −0.00507809 + 0.113442i
\(776\) −2.81525 + 2.36228i −0.101062 + 0.0848008i
\(777\) 25.3809 + 12.3791i 0.910534 + 0.444097i
\(778\) 0.0818333 0.0265892i 0.00293387 0.000953271i
\(779\) −34.1586 + 9.15706i −1.22386 + 0.328086i
\(780\) −19.4691 7.19470i −0.697105 0.257611i
\(781\) 6.74106 + 0.947394i 0.241214 + 0.0339004i
\(782\) 4.05759 + 4.83565i 0.145099 + 0.172923i
\(783\) −9.74834 + 0.340420i −0.348377 + 0.0121656i
\(784\) −17.1586 + 4.92016i −0.612809 + 0.175720i
\(785\) −21.7629 19.7899i −0.776751 0.706332i
\(786\) −29.2283 + 13.0133i −1.04254 + 0.464168i
\(787\) 16.8963 37.9497i 0.602287 1.35276i −0.312921 0.949779i \(-0.601308\pi\)
0.915209 0.402980i \(-0.132026\pi\)
\(788\) −13.2912 + 6.48253i −0.473478 + 0.230931i
\(789\) 12.6379 12.2043i 0.449923 0.434485i
\(790\) 26.5176 4.54153i 0.943454 0.161581i
\(791\) 8.27185 + 78.7014i 0.294113 + 2.79830i
\(792\) 0.309698 + 0.495621i 0.0110046 + 0.0176111i
\(793\) 20.1991 55.4965i 0.717290 1.97074i
\(794\) 0.729552 + 20.8916i 0.0258908 + 0.741416i
\(795\) −36.0585 10.5316i −1.27886 0.373519i
\(796\) 21.9770 11.6854i 0.778954 0.414177i
\(797\) −44.8510 + 14.5730i −1.58870 + 0.516201i −0.964280 0.264884i \(-0.914666\pi\)
−0.624424 + 0.781086i \(0.714666\pi\)
\(798\) 18.8394 + 31.3458i 0.666909 + 1.10963i
\(799\) −18.8108 −0.665480
\(800\) −4.97751 + 0.473751i −0.175981 + 0.0167496i
\(801\) 0.293485 0.246263i 0.0103698 0.00870128i
\(802\) −2.50723 + 8.74374i −0.0885333 + 0.308752i
\(803\) 6.95344 + 0.242819i 0.245382 + 0.00856891i
\(804\) 0.348422 0.862375i 0.0122879 0.0304136i
\(805\) 4.02878 + 10.1144i 0.141996 + 0.356485i
\(806\) 3.41074 0.724975i 0.120138 0.0255362i
\(807\) 12.8196 + 2.26044i 0.451270 + 0.0795711i
\(808\) −3.81764 + 7.17994i −0.134304 + 0.252590i
\(809\) 45.7307 + 20.3606i 1.60781 + 0.715841i 0.997106 0.0760205i \(-0.0242215\pi\)
0.610700 + 0.791862i \(0.290888\pi\)
\(810\) −1.22834 18.9001i −0.0431593 0.664083i
\(811\) −0.273418 1.09662i −0.00960099 0.0385075i 0.965304 0.261128i \(-0.0840945\pi\)
−0.974905 + 0.222621i \(0.928539\pi\)
\(812\) −2.51426 8.76827i −0.0882333 0.307706i
\(813\) 32.1160 + 21.6625i 1.12636 + 0.759738i
\(814\) 11.7313 0.820330i 0.411181 0.0287525i
\(815\) −16.8292 17.5994i −0.589502 0.616480i
\(816\) 8.80022 6.39374i 0.308069 0.223826i
\(817\) −33.8437 + 5.36437i −1.18404 + 0.187676i
\(818\) 26.0714i 0.911565i
\(819\) −4.55381 0.639997i −0.159123 0.0223633i
\(820\) 0.544042 + 18.1336i 0.0189988 + 0.633252i
\(821\) −13.2857 17.0049i −0.463675 0.593477i 0.498168 0.867081i \(-0.334006\pi\)
−0.961842 + 0.273604i \(0.911784\pi\)
\(822\) −29.1814 1.01904i −1.01782 0.0355430i
\(823\) −41.0798 + 10.2423i −1.43195 + 0.357026i −0.879253 0.476355i \(-0.841958\pi\)
−0.552699 + 0.833381i \(0.686402\pi\)
\(824\) −8.31188 + 14.3966i −0.289558 + 0.501529i
\(825\) 3.80583 + 29.1561i 0.132502 + 1.01508i
\(826\) 1.26005 7.14612i 0.0438429 0.248645i
\(827\) −8.65849 8.96613i −0.301085 0.311783i 0.551702 0.834041i \(-0.313979\pi\)
−0.852787 + 0.522258i \(0.825090\pi\)
\(828\) −0.121407 0.109316i −0.00421920 0.00379898i
\(829\) −6.20665 1.31926i −0.215566 0.0458200i 0.0988626 0.995101i \(-0.468480\pi\)
−0.314429 + 0.949281i \(0.601813\pi\)
\(830\) 1.31501 11.9465i 0.0456446 0.414669i
\(831\) 10.7772 13.7942i 0.373856 0.478514i
\(832\) 1.88628 + 5.18251i 0.0653950 + 0.179671i
\(833\) −106.965 + 43.2165i −3.70611 + 1.49736i
\(834\) −26.4963 25.5871i −0.917490 0.886010i
\(835\) 9.65723 26.1328i 0.334202 0.904362i
\(836\) 13.3214 + 7.38213i 0.460730 + 0.255316i
\(837\) 1.98105 + 2.72669i 0.0684752 + 0.0942481i
\(838\) 11.4915 11.8998i 0.396968 0.411072i
\(839\) 16.2488 1.13623i 0.560971 0.0392269i 0.213543 0.976934i \(-0.431500\pi\)
0.347428 + 0.937707i \(0.387055\pi\)
\(840\) 17.8709 5.70968i 0.616604 0.197003i
\(841\) −24.6581 + 7.07058i −0.850278 + 0.243813i
\(842\) 4.39713 + 7.03688i 0.151535 + 0.242507i
\(843\) 22.7123 + 13.1130i 0.782255 + 0.451635i
\(844\) 6.71125 1.42652i 0.231011 0.0491029i
\(845\) 19.6377 33.6307i 0.675556 1.15693i
\(846\) 0.482094 0.0677539i 0.0165747 0.00232943i
\(847\) 4.47570 + 4.02994i 0.153787 + 0.138470i
\(848\) 4.05984 + 9.11855i 0.139416 + 0.313132i
\(849\) 9.76139 + 8.19078i 0.335010 + 0.281107i
\(850\) −31.6733 + 6.40770i −1.08638 + 0.219782i
\(851\) −3.08910 + 1.12434i −0.105893 + 0.0385420i
\(852\) 0.228738 + 3.27110i 0.00783642 + 0.112066i
\(853\) −5.62214 10.5737i −0.192498 0.362037i 0.767943 0.640518i \(-0.221280\pi\)
−0.960442 + 0.278481i \(0.910169\pi\)
\(854\) 16.4957 + 50.7687i 0.564473 + 1.73727i
\(855\) 0.881353 + 1.37152i 0.0301416 + 0.0469051i
\(856\) −0.186978 + 0.575458i −0.00639076 + 0.0196687i
\(857\) −26.4172 + 4.65806i −0.902393 + 0.159116i −0.605547 0.795809i \(-0.707046\pi\)
−0.296846 + 0.954925i \(0.595935\pi\)
\(858\) 30.0710 12.1495i 1.02661 0.414776i
\(859\) −10.3332 + 15.3196i −0.352564 + 0.522697i −0.963048 0.269332i \(-0.913197\pi\)
0.610484 + 0.792029i \(0.290975\pi\)
\(860\) −1.31234 + 17.5291i −0.0447504 + 0.597739i
\(861\) −16.4678 66.0488i −0.561222 2.25094i
\(862\) −11.4059 + 1.19881i −0.388487 + 0.0408316i
\(863\) 5.28670 11.8741i 0.179962 0.404200i −0.800929 0.598759i \(-0.795661\pi\)
0.980891 + 0.194559i \(0.0623275\pi\)
\(864\) −3.83461 + 3.70304i −0.130456 + 0.125980i
\(865\) −29.7174 + 26.4945i −1.01042 + 0.900839i
\(866\) −20.8474 9.28185i −0.708423 0.315410i
\(867\) 30.9817 27.8961i 1.05219 0.947400i
\(868\) −2.02592 + 2.41440i −0.0687642 + 0.0819499i
\(869\) −25.8818 + 33.1271i −0.877979 + 1.12376i
\(870\) 2.09583 + 6.55979i 0.0710552 + 0.222398i
\(871\) 2.58465 + 1.61507i 0.0875776 + 0.0547246i
\(872\) 5.36911 + 10.0978i 0.181821 + 0.341956i
\(873\) 0.361315 0.497308i 0.0122287 0.0168313i
\(874\) −4.14840 0.957222i −0.140322 0.0323785i
\(875\) −55.3367 6.64218i −1.87072 0.224547i
\(876\) 0.581986 + 3.30061i 0.0196635 + 0.111517i
\(877\) 2.54751 + 36.4311i 0.0860234 + 1.23019i 0.828372 + 0.560178i \(0.189267\pi\)
−0.742349 + 0.670013i \(0.766288\pi\)
\(878\) −12.2582 + 9.57714i −0.413693 + 0.323213i
\(879\) 0.307013 8.79171i 0.0103553 0.296537i
\(880\) 5.25629 5.78033i 0.177189 0.194855i
\(881\) −27.6060 30.6595i −0.930068 1.03295i −0.999375 0.0353501i \(-0.988745\pi\)
0.0693067 0.997595i \(-0.477921\pi\)
\(882\) 2.58569 1.49285i 0.0870646 0.0502668i
\(883\) 5.92950 11.1518i 0.199544 0.375287i −0.763007 0.646391i \(-0.776278\pi\)
0.962550 + 0.271104i \(0.0873887\pi\)
\(884\) 15.6253 + 32.0367i 0.525537 + 1.07751i
\(885\) −0.789073 + 5.42113i −0.0265244 + 0.182229i
\(886\) 10.8010 4.80893i 0.362868 0.161559i
\(887\) 0.0778490 1.11329i 0.00261391 0.0373807i −0.996082 0.0884346i \(-0.971814\pi\)
0.998696 + 0.0510539i \(0.0162580\pi\)
\(888\) 1.56142 + 5.44532i 0.0523979 + 0.182733i
\(889\) −99.5769 28.5532i −3.33970 0.957644i
\(890\) −4.23194 2.88484i −0.141855 0.0967000i
\(891\) 21.2890 + 20.5585i 0.713207 + 0.688736i
\(892\) −2.72589 0.885694i −0.0912694 0.0296552i
\(893\) 10.1312 7.63629i 0.339029 0.255539i
\(894\) −3.96978 + 12.2177i −0.132769 + 0.408622i
\(895\) −24.0656 49.9634i −0.804425 1.67009i
\(896\) −4.22751 2.64164i −0.141231 0.0882511i
\(897\) −7.14426 + 5.58171i −0.238540 + 0.186368i
\(898\) 7.86738 5.30662i 0.262538 0.177084i
\(899\) −0.886242 0.743645i −0.0295578 0.0248020i
\(900\) 0.788659 0.278302i 0.0262886 0.00927675i
\(901\) 32.2551 + 55.8675i 1.07457 + 1.86122i
\(902\) −19.6920 20.3917i −0.655672 0.678968i
\(903\) −9.17935 65.3145i −0.305470 2.17353i
\(904\) −10.6222 + 11.7972i −0.353289 + 0.392368i
\(905\) −21.7673 + 18.0834i −0.723568 + 0.601112i
\(906\) 3.73097 2.33137i 0.123953 0.0774546i
\(907\) −0.149128 + 0.409727i −0.00495173 + 0.0136048i −0.942144 0.335209i \(-0.891193\pi\)
0.937192 + 0.348814i \(0.113415\pi\)
\(908\) −18.1160 + 0.632623i −0.601199 + 0.0209943i
\(909\) 0.329053 1.31976i 0.0109140 0.0437736i
\(910\) 8.25653 + 60.9187i 0.273701 + 2.01944i
\(911\) 42.8052 + 31.0998i 1.41820 + 1.03038i 0.992065 + 0.125723i \(0.0401249\pi\)
0.426134 + 0.904660i \(0.359875\pi\)
\(912\) −2.14412 + 7.01603i −0.0709989 + 0.232324i
\(913\) 11.0386 + 15.1934i 0.365325 + 0.502827i
\(914\) 4.67287 9.58081i 0.154565 0.316905i
\(915\) −13.5974 37.9376i −0.449517 1.25418i
\(916\) 5.04112 7.47376i 0.166563 0.246940i
\(917\) 74.6735 + 58.3413i 2.46594 + 1.92660i
\(918\) −22.1456 + 26.3921i −0.730915 + 0.871070i
\(919\) −20.8229 23.1262i −0.686884 0.762862i 0.294347 0.955699i \(-0.404898\pi\)
−0.981231 + 0.192837i \(0.938231\pi\)
\(920\) −0.967037 + 1.95824i −0.0318823 + 0.0645612i
\(921\) 17.2629 2.42615i 0.568833 0.0799443i
\(922\) 5.40651 + 38.4693i 0.178054 + 1.26692i
\(923\) −10.6861 1.12315i −0.351737 0.0369690i
\(924\) −14.6576 + 25.3877i −0.482199 + 0.835193i
\(925\) 2.50575 16.6410i 0.0823885 0.547154i
\(926\) −1.90586 0.693677i −0.0626305 0.0227956i
\(927\) 0.766428 2.67285i 0.0251728 0.0877879i
\(928\) 0.969656 1.55177i 0.0318305 0.0509395i
\(929\) −21.8920 + 11.6402i −0.718253 + 0.381902i −0.788010 0.615662i \(-0.788889\pi\)
0.0697570 + 0.997564i \(0.477778\pi\)
\(930\) 1.47414 1.86782i 0.0483388 0.0612482i
\(931\) 40.0657 66.6982i 1.31310 2.18595i
\(932\) 27.6822i 0.906761i
\(933\) −1.75716 + 12.5029i −0.0575269 + 0.409325i
\(934\) −0.132186 + 0.530171i −0.00432527 + 0.0173477i
\(935\) 29.8802 40.7045i 0.977188 1.33118i
\(936\) −0.515846 0.764773i −0.0168609 0.0249974i
\(937\) 1.06314 15.2036i 0.0347312 0.496679i −0.948793 0.315900i \(-0.897694\pi\)
0.983524 0.180779i \(-0.0578619\pi\)
\(938\) −2.73972 + 0.287956i −0.0894550 + 0.00940210i
\(939\) −2.81835 + 26.8148i −0.0919733 + 0.875067i
\(940\) −2.61787 5.95846i −0.0853856 0.194344i
\(941\) −10.4847 21.4968i −0.341790 0.700774i 0.656788 0.754075i \(-0.271915\pi\)
−0.998578 + 0.0533011i \(0.983026\pi\)
\(942\) 4.60332 + 21.6569i 0.149984 + 0.705621i
\(943\) 6.86265 + 3.96215i 0.223479 + 0.129026i
\(944\) 1.23445 0.771373i 0.0401781 0.0251060i
\(945\) −50.5456 + 31.2401i −1.64425 + 1.01624i
\(946\) −16.9105 21.6444i −0.549807 0.703722i
\(947\) 14.6332 23.4181i 0.475516 0.760985i −0.520141 0.854080i \(-0.674121\pi\)
0.995657 + 0.0930956i \(0.0296762\pi\)
\(948\) −18.2008 8.87711i −0.591134 0.288315i
\(949\) −10.9823 −0.356501
\(950\) 14.4575 16.3089i 0.469064 0.529130i
\(951\) 14.2061 0.460666
\(952\) −28.9573 14.1234i −0.938510 0.457742i
\(953\) −19.8839 + 31.8208i −0.644102 + 1.03078i 0.351418 + 0.936219i \(0.385700\pi\)
−0.995519 + 0.0945592i \(0.969856\pi\)
\(954\) −1.02788 1.31562i −0.0332788 0.0425949i
\(955\) −2.70982 11.1006i −0.0876878 0.359206i
\(956\) 22.2974 13.9329i 0.721149 0.450624i
\(957\) −9.31895 5.38030i −0.301239 0.173920i
\(958\) −7.74465 36.4357i −0.250218 1.17718i
\(959\) 37.9118 + 77.7307i 1.22424 + 2.51005i
\(960\) 3.24997 + 1.89773i 0.104892 + 0.0612488i
\(961\) 3.19860 30.4326i 0.103181 0.981698i
\(962\) −18.4607 + 1.94029i −0.595196 + 0.0625576i
\(963\) 0.00705985 0.100961i 0.000227500 0.00325341i
\(964\) −2.18725 3.24273i −0.0704465 0.104441i
\(965\) 22.9635 7.33673i 0.739220 0.236178i
\(966\) 1.98249 7.95132i 0.0637855 0.255830i
\(967\) −1.22514 + 8.71732i −0.0393978 + 0.280330i 0.960599 + 0.277937i \(0.0896506\pi\)
−0.999997 + 0.00239305i \(0.999238\pi\)
\(968\) 1.20816i 0.0388316i
\(969\) −9.04171 + 46.5446i −0.290462 + 1.49523i
\(970\) −7.70818 2.84852i −0.247495 0.0914604i
\(971\) −37.6587 + 20.0235i −1.20852 + 0.642584i −0.946571 0.322497i \(-0.895478\pi\)
−0.261954 + 0.965080i \(0.584367\pi\)
\(972\) 0.920045 1.47238i 0.0295105 0.0472266i
\(973\) −30.0711 + 104.870i −0.964036 + 3.36199i
\(974\) −22.1890 8.07613i −0.710981 0.258776i
\(975\) −7.60975 45.7836i −0.243707 1.46625i
\(976\) −5.35421 + 9.27376i −0.171384 + 0.296846i
\(977\) −12.0674 1.26833i −0.386070 0.0405776i −0.0904946 0.995897i \(-0.528845\pi\)
−0.295576 + 0.955319i \(0.595511\pi\)
\(978\) 2.55086 + 18.1503i 0.0815675 + 0.580383i
\(979\) 7.92512 1.11380i 0.253288 0.0355973i
\(980\) −28.5752 27.8674i −0.912802 0.890192i
\(981\) −1.27999 1.42158i −0.0408671 0.0453875i
\(982\) −5.20125 + 6.19861i −0.165979 + 0.197806i
\(983\) −48.2492 37.6964i −1.53891 1.20233i −0.902273 0.431165i \(-0.858103\pi\)
−0.636637 0.771164i \(-0.719675\pi\)
\(984\) 7.63586 11.3206i 0.243422 0.360889i
\(985\) −27.3222 18.6250i −0.870556 0.593442i
\(986\) 5.18422 10.6292i 0.165099 0.338503i
\(987\) 14.3536 + 19.7560i 0.456880 + 0.628842i
\(988\) −21.4209 10.9113i −0.681490 0.347136i
\(989\) 6.21176 + 4.51311i 0.197522 + 0.143508i
\(990\) −0.619175 + 1.15082i −0.0196787 + 0.0365755i
\(991\) −14.4569 + 57.9834i −0.459238 + 1.84190i 0.0758656 + 0.997118i \(0.475828\pi\)
−0.535104 + 0.844786i \(0.679728\pi\)
\(992\) −0.631867 + 0.0220653i −0.0200618 + 0.000700573i
\(993\) 7.05149 19.3738i 0.223772 0.614809i
\(994\) 8.23635 5.14665i 0.261241 0.163242i
\(995\) 47.0542 + 29.7252i 1.49172 + 0.942352i
\(996\) −6.05320 + 6.72276i −0.191803 + 0.213019i
\(997\) −3.02897 21.5522i −0.0959284 0.682566i −0.977565 0.210636i \(-0.932447\pi\)
0.881636 0.471930i \(-0.156442\pi\)
\(998\) 17.5448 + 18.1682i 0.555371 + 0.575103i
\(999\) −8.97091 15.5381i −0.283827 0.491603i
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 950.2.bg.a.9.6 1200
19.17 even 9 inner 950.2.bg.a.359.31 yes 1200
25.14 even 10 inner 950.2.bg.a.389.31 yes 1200
475.264 even 90 inner 950.2.bg.a.739.6 yes 1200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
950.2.bg.a.9.6 1200 1.1 even 1 trivial
950.2.bg.a.359.31 yes 1200 19.17 even 9 inner
950.2.bg.a.389.31 yes 1200 25.14 even 10 inner
950.2.bg.a.739.6 yes 1200 475.264 even 90 inner