Properties

Label 930.2.br.b.761.7
Level $930$
Weight $2$
Character 930.761
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
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] = [930,2,Mod(11,930)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(930, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([15, 0, 23]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("930.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 761.7
Character \(\chi\) \(=\) 930.761
Dual form 930.2.br.b.11.7

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.951057 - 0.309017i) q^{2} +(0.145925 - 1.72589i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.672113 + 1.59633i) q^{6} +(-0.228500 + 2.17403i) q^{7} +(-0.587785 - 0.809017i) q^{8} +(-2.95741 - 0.503701i) q^{9} +O(q^{10})\) \(q+(-0.951057 - 0.309017i) q^{2} +(0.145925 - 1.72589i) q^{3} +(0.809017 + 0.587785i) q^{4} +(-0.866025 - 0.500000i) q^{5} +(-0.672113 + 1.59633i) q^{6} +(-0.228500 + 2.17403i) q^{7} +(-0.587785 - 0.809017i) q^{8} +(-2.95741 - 0.503701i) q^{9} +(0.669131 + 0.743145i) q^{10} +(-3.37174 + 1.50120i) q^{11} +(1.13251 - 1.31050i) q^{12} +(-0.565435 + 2.66016i) q^{13} +(0.889128 - 1.99701i) q^{14} +(-0.989321 + 1.42170i) q^{15} +(0.309017 + 0.951057i) q^{16} +(4.18937 + 1.86523i) q^{17} +(2.65701 + 1.39294i) q^{18} +(7.02672 - 1.49358i) q^{19} +(-0.406737 - 0.913545i) q^{20} +(3.71880 + 0.711610i) q^{21} +(3.67062 - 0.385797i) q^{22} +(4.43137 - 3.21958i) q^{23} +(-1.48205 + 0.896399i) q^{24} +(0.500000 + 0.866025i) q^{25} +(1.35980 - 2.35524i) q^{26} +(-1.30089 + 5.03067i) q^{27} +(-1.46272 + 1.62452i) q^{28} +(1.85284 - 5.70246i) q^{29} +(1.38023 - 1.04640i) q^{30} +(3.69419 + 4.16569i) q^{31} -1.00000i q^{32} +(2.09889 + 6.03833i) q^{33} +(-3.40794 - 3.06853i) q^{34} +(1.28490 - 1.76851i) q^{35} +(-2.09653 - 2.14583i) q^{36} +(-2.33106 + 1.34584i) q^{37} +(-7.14435 - 0.750901i) q^{38} +(4.50865 + 1.36406i) q^{39} +(0.104528 + 0.994522i) q^{40} +(4.55509 - 4.10142i) q^{41} +(-3.31689 - 1.82595i) q^{42} +(0.429934 + 2.02268i) q^{43} +(-3.61018 - 0.767368i) q^{44} +(2.30934 + 1.91492i) q^{45} +(-5.20938 + 1.69263i) q^{46} +(-10.3554 + 3.36468i) q^{47} +(1.68651 - 0.394548i) q^{48} +(2.17284 + 0.461852i) q^{49} +(-0.207912 - 0.978148i) q^{50} +(3.83052 - 6.95823i) q^{51} +(-2.02105 + 1.81976i) q^{52} +(0.296898 + 2.82480i) q^{53} +(2.79179 - 4.38246i) q^{54} +(3.67062 + 0.385797i) q^{55} +(1.89313 - 1.09300i) q^{56} +(-1.55238 - 12.3453i) q^{57} +(-3.52431 + 4.85080i) q^{58} +(2.06251 + 1.85710i) q^{59} +(-1.63603 + 0.568675i) q^{60} +15.3542i q^{61} +(-2.22611 - 5.10337i) q^{62} +(1.77083 - 6.31440i) q^{63} +(-0.309017 + 0.951057i) q^{64} +(1.81976 - 2.02105i) q^{65} +(-0.130211 - 6.39139i) q^{66} +(2.98226 - 5.16542i) q^{67} +(2.29292 + 3.97146i) q^{68} +(-4.91000 - 8.11788i) q^{69} +(-1.76851 + 1.28490i) q^{70} +(11.8911 - 1.24981i) q^{71} +(1.33082 + 2.68866i) q^{72} +(0.731646 + 1.64330i) q^{73} +(2.63285 - 0.559630i) q^{74} +(1.56763 - 0.736572i) q^{75} +(6.56264 + 2.92187i) q^{76} +(-2.49320 - 7.67329i) q^{77} +(-3.86646 - 2.69055i) q^{78} +(4.31032 - 9.68114i) q^{79} +(0.207912 - 0.978148i) q^{80} +(8.49257 + 2.97930i) q^{81} +(-5.59956 + 2.49308i) q^{82} +(-0.948324 - 1.05322i) q^{83} +(2.59030 + 2.76156i) q^{84} +(-2.69549 - 3.71002i) q^{85} +(0.216151 - 2.05654i) q^{86} +(-9.57145 - 4.02993i) q^{87} +(3.19636 + 1.84542i) q^{88} +(2.65594 + 1.92965i) q^{89} +(-1.60457 - 2.53483i) q^{90} +(-5.65407 - 1.83712i) q^{91} +5.47747 q^{92} +(7.72861 - 5.76790i) q^{93} +10.8883 q^{94} +(-6.83210 - 2.21989i) q^{95} +(-1.72589 - 0.145925i) q^{96} +(-8.91550 - 6.47749i) q^{97} +(-1.92378 - 1.11069i) q^{98} +(10.7278 - 2.74131i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q + 44 q^{4} + 4 q^{7} + 4 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 176 q + 44 q^{4} + 4 q^{7} + 4 q^{9} + 22 q^{10} + 38 q^{13} - 44 q^{16} + 4 q^{18} + 8 q^{19} - 42 q^{21} + 4 q^{22} + 88 q^{25} + 30 q^{27} + 36 q^{28} + 32 q^{31} - 70 q^{33} + 14 q^{34} - 4 q^{36} + 42 q^{37} + 58 q^{39} - 22 q^{40} - 12 q^{42} - 46 q^{43} + 16 q^{45} + 10 q^{46} + 38 q^{49} + 38 q^{51} + 2 q^{52} + 4 q^{55} + 78 q^{57} - 40 q^{58} + 16 q^{63} + 44 q^{64} + 34 q^{66} - 76 q^{67} + 148 q^{69} - 8 q^{70} - 4 q^{72} - 52 q^{73} + 12 q^{76} + 60 q^{78} + 8 q^{79} - 108 q^{81} - 40 q^{82} - 8 q^{84} + 28 q^{87} + 6 q^{88} + 24 q^{90} - 20 q^{91} - 28 q^{93} - 20 q^{94} - 112 q^{97} - 132 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{7}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 0.309017i −0.672499 0.218508i
\(3\) 0.145925 1.72589i 0.0842496 0.996445i
\(4\) 0.809017 + 0.587785i 0.404508 + 0.293893i
\(5\) −0.866025 0.500000i −0.387298 0.223607i
\(6\) −0.672113 + 1.59633i −0.274389 + 0.651698i
\(7\) −0.228500 + 2.17403i −0.0863647 + 0.821706i 0.862507 + 0.506045i \(0.168893\pi\)
−0.948872 + 0.315661i \(0.897774\pi\)
\(8\) −0.587785 0.809017i −0.207813 0.286031i
\(9\) −2.95741 0.503701i −0.985804 0.167900i
\(10\) 0.669131 + 0.743145i 0.211598 + 0.235003i
\(11\) −3.37174 + 1.50120i −1.01662 + 0.452628i −0.846269 0.532755i \(-0.821157\pi\)
−0.170350 + 0.985384i \(0.554490\pi\)
\(12\) 1.13251 1.31050i 0.326927 0.378310i
\(13\) −0.565435 + 2.66016i −0.156824 + 0.737797i 0.827506 + 0.561457i \(0.189759\pi\)
−0.984329 + 0.176340i \(0.943574\pi\)
\(14\) 0.889128 1.99701i 0.237629 0.533724i
\(15\) −0.989321 + 1.42170i −0.255442 + 0.367083i
\(16\) 0.309017 + 0.951057i 0.0772542 + 0.237764i
\(17\) 4.18937 + 1.86523i 1.01607 + 0.452385i 0.846077 0.533060i \(-0.178958\pi\)
0.169995 + 0.985445i \(0.445625\pi\)
\(18\) 2.65701 + 1.39294i 0.626264 + 0.328319i
\(19\) 7.02672 1.49358i 1.61204 0.342650i 0.688227 0.725495i \(-0.258389\pi\)
0.923812 + 0.382846i \(0.125056\pi\)
\(20\) −0.406737 0.913545i −0.0909491 0.204275i
\(21\) 3.71880 + 0.711610i 0.811508 + 0.155286i
\(22\) 3.67062 0.385797i 0.782578 0.0822522i
\(23\) 4.43137 3.21958i 0.924004 0.671328i −0.0205136 0.999790i \(-0.506530\pi\)
0.944517 + 0.328462i \(0.106530\pi\)
\(24\) −1.48205 + 0.896399i −0.302522 + 0.182977i
\(25\) 0.500000 + 0.866025i 0.100000 + 0.173205i
\(26\) 1.35980 2.35524i 0.266678 0.461900i
\(27\) −1.30089 + 5.03067i −0.250357 + 0.968154i
\(28\) −1.46272 + 1.62452i −0.276429 + 0.307005i
\(29\) 1.85284 5.70246i 0.344064 1.05892i −0.618019 0.786163i \(-0.712065\pi\)
0.962083 0.272756i \(-0.0879353\pi\)
\(30\) 1.38023 1.04640i 0.251995 0.191046i
\(31\) 3.69419 + 4.16569i 0.663496 + 0.748180i
\(32\) 1.00000i 0.176777i
\(33\) 2.09889 + 6.03833i 0.365369 + 1.05114i
\(34\) −3.40794 3.06853i −0.584458 0.526248i
\(35\) 1.28490 1.76851i 0.217188 0.298933i
\(36\) −2.09653 2.14583i −0.349421 0.357638i
\(37\) −2.33106 + 1.34584i −0.383224 + 0.221254i −0.679220 0.733935i \(-0.737682\pi\)
0.295996 + 0.955189i \(0.404348\pi\)
\(38\) −7.14435 0.750901i −1.15897 0.121812i
\(39\) 4.50865 + 1.36406i 0.721961 + 0.218425i
\(40\) 0.104528 + 0.994522i 0.0165274 + 0.157248i
\(41\) 4.55509 4.10142i 0.711386 0.640535i −0.231814 0.972760i \(-0.574466\pi\)
0.943200 + 0.332225i \(0.107799\pi\)
\(42\) −3.31689 1.82595i −0.511807 0.281751i
\(43\) 0.429934 + 2.02268i 0.0655643 + 0.308456i 0.998694 0.0510832i \(-0.0162674\pi\)
−0.933130 + 0.359539i \(0.882934\pi\)
\(44\) −3.61018 0.767368i −0.544255 0.115685i
\(45\) 2.30934 + 1.91492i 0.344257 + 0.285460i
\(46\) −5.20938 + 1.69263i −0.768082 + 0.249565i
\(47\) −10.3554 + 3.36468i −1.51049 + 0.490789i −0.943058 0.332629i \(-0.892064\pi\)
−0.567436 + 0.823418i \(0.692064\pi\)
\(48\) 1.68651 0.394548i 0.243427 0.0569480i
\(49\) 2.17284 + 0.461852i 0.310406 + 0.0659789i
\(50\) −0.207912 0.978148i −0.0294032 0.138331i
\(51\) 3.83052 6.95823i 0.536380 0.974347i
\(52\) −2.02105 + 1.81976i −0.280269 + 0.252356i
\(53\) 0.296898 + 2.82480i 0.0407821 + 0.388016i 0.995806 + 0.0914875i \(0.0291622\pi\)
−0.955024 + 0.296528i \(0.904171\pi\)
\(54\) 2.79179 4.38246i 0.379914 0.596377i
\(55\) 3.67062 + 0.385797i 0.494946 + 0.0520209i
\(56\) 1.89313 1.09300i 0.252981 0.146059i
\(57\) −1.55238 12.3453i −0.205618 1.63518i
\(58\) −3.52431 + 4.85080i −0.462765 + 0.636941i
\(59\) 2.06251 + 1.85710i 0.268517 + 0.241773i 0.792378 0.610030i \(-0.208843\pi\)
−0.523862 + 0.851803i \(0.675509\pi\)
\(60\) −1.63603 + 0.568675i −0.211211 + 0.0734156i
\(61\) 15.3542i 1.96590i 0.183874 + 0.982950i \(0.441136\pi\)
−0.183874 + 0.982950i \(0.558864\pi\)
\(62\) −2.22611 5.10337i −0.282717 0.648129i
\(63\) 1.77083 6.31440i 0.223103 0.795540i
\(64\) −0.309017 + 0.951057i −0.0386271 + 0.118882i
\(65\) 1.81976 2.02105i 0.225714 0.250681i
\(66\) −0.130211 6.39139i −0.0160279 0.786725i
\(67\) 2.98226 5.16542i 0.364341 0.631056i −0.624330 0.781161i \(-0.714628\pi\)
0.988670 + 0.150105i \(0.0479611\pi\)
\(68\) 2.29292 + 3.97146i 0.278057 + 0.481610i
\(69\) −4.91000 8.11788i −0.591094 0.977278i
\(70\) −1.76851 + 1.28490i −0.211378 + 0.153575i
\(71\) 11.8911 1.24981i 1.41122 0.148325i 0.631948 0.775011i \(-0.282256\pi\)
0.779272 + 0.626686i \(0.215589\pi\)
\(72\) 1.33082 + 2.68866i 0.156839 + 0.316862i
\(73\) 0.731646 + 1.64330i 0.0856327 + 0.192334i 0.951286 0.308310i \(-0.0997633\pi\)
−0.865653 + 0.500644i \(0.833097\pi\)
\(74\) 2.63285 0.559630i 0.306063 0.0650557i
\(75\) 1.56763 0.736572i 0.181014 0.0850520i
\(76\) 6.56264 + 2.92187i 0.752786 + 0.335162i
\(77\) −2.49320 7.67329i −0.284127 0.874453i
\(78\) −3.86646 2.69055i −0.437790 0.304645i
\(79\) 4.31032 9.68114i 0.484949 1.08921i −0.490989 0.871166i \(-0.663365\pi\)
0.975938 0.218047i \(-0.0699687\pi\)
\(80\) 0.207912 0.978148i 0.0232452 0.109360i
\(81\) 8.49257 + 2.97930i 0.943619 + 0.331033i
\(82\) −5.59956 + 2.49308i −0.618368 + 0.275315i
\(83\) −0.948324 1.05322i −0.104092 0.115606i 0.688847 0.724906i \(-0.258117\pi\)
−0.792939 + 0.609300i \(0.791450\pi\)
\(84\) 2.59030 + 2.76156i 0.282624 + 0.301311i
\(85\) −2.69549 3.71002i −0.292367 0.402409i
\(86\) 0.216151 2.05654i 0.0233082 0.221762i
\(87\) −9.57145 4.02993i −1.02617 0.432054i
\(88\) 3.19636 + 1.84542i 0.340733 + 0.196722i
\(89\) 2.65594 + 1.92965i 0.281529 + 0.204543i 0.719584 0.694405i \(-0.244332\pi\)
−0.438055 + 0.898948i \(0.644332\pi\)
\(90\) −1.60457 2.53483i −0.169137 0.267194i
\(91\) −5.65407 1.83712i −0.592708 0.192582i
\(92\) 5.47747 0.571066
\(93\) 7.72861 5.76790i 0.801419 0.598103i
\(94\) 10.8883 1.12305
\(95\) −6.83210 2.21989i −0.700959 0.227755i
\(96\) −1.72589 0.145925i −0.176148 0.0148934i
\(97\) −8.91550 6.47749i −0.905231 0.657689i 0.0345729 0.999402i \(-0.488993\pi\)
−0.939804 + 0.341713i \(0.888993\pi\)
\(98\) −1.92378 1.11069i −0.194331 0.112197i
\(99\) 10.7278 2.74131i 1.07818 0.275512i
\(100\) −0.104528 + 0.994522i −0.0104528 + 0.0994522i
\(101\) −3.79042 5.21707i −0.377161 0.519117i 0.577669 0.816271i \(-0.303963\pi\)
−0.954830 + 0.297154i \(0.903963\pi\)
\(102\) −5.79325 + 5.43397i −0.573617 + 0.538044i
\(103\) 7.22868 + 8.02826i 0.712263 + 0.791048i 0.985278 0.170962i \(-0.0546875\pi\)
−0.273015 + 0.962010i \(0.588021\pi\)
\(104\) 2.48447 1.10616i 0.243623 0.108468i
\(105\) −2.86477 2.47567i −0.279573 0.241601i
\(106\) 0.590543 2.77829i 0.0573586 0.269851i
\(107\) −8.22008 + 18.4626i −0.794665 + 1.78485i −0.202024 + 0.979380i \(0.564752\pi\)
−0.592641 + 0.805467i \(0.701915\pi\)
\(108\) −4.00940 + 3.30526i −0.385805 + 0.318048i
\(109\) −4.07983 12.5564i −0.390777 1.20269i −0.932202 0.361939i \(-0.882115\pi\)
0.541424 0.840749i \(-0.317885\pi\)
\(110\) −3.37174 1.50120i −0.321483 0.143134i
\(111\) 1.98261 + 4.21955i 0.188181 + 0.400502i
\(112\) −2.13823 + 0.454496i −0.202044 + 0.0429458i
\(113\) 4.46461 + 10.0277i 0.419995 + 0.943324i 0.992366 + 0.123329i \(0.0393572\pi\)
−0.572371 + 0.819995i \(0.693976\pi\)
\(114\) −2.33851 + 12.2208i −0.219022 + 1.14458i
\(115\) −5.44746 + 0.572552i −0.507979 + 0.0533907i
\(116\) 4.85080 3.52431i 0.450385 0.327224i
\(117\) 3.01215 7.58239i 0.278474 0.700992i
\(118\) −1.38769 2.40356i −0.127748 0.221265i
\(119\) −5.01233 + 8.68162i −0.459480 + 0.795843i
\(120\) 1.73169 0.0352796i 0.158081 0.00322058i
\(121\) 1.75463 1.94872i 0.159512 0.177156i
\(122\) 4.74470 14.6027i 0.429565 1.32206i
\(123\) −6.41392 8.46010i −0.578323 0.762822i
\(124\) 0.540130 + 5.54150i 0.0485051 + 0.497642i
\(125\) 1.00000i 0.0894427i
\(126\) −3.63541 + 5.45814i −0.323868 + 0.486250i
\(127\) 10.9690 + 9.87650i 0.973338 + 0.876397i 0.992354 0.123422i \(-0.0393868\pi\)
−0.0190163 + 0.999819i \(0.506053\pi\)
\(128\) 0.587785 0.809017i 0.0519534 0.0715077i
\(129\) 3.55366 0.446861i 0.312883 0.0393439i
\(130\) −2.35524 + 1.35980i −0.206568 + 0.119262i
\(131\) 19.8470 + 2.08600i 1.73404 + 0.182255i 0.918225 0.396060i \(-0.129623\pi\)
0.815814 + 0.578315i \(0.196289\pi\)
\(132\) −1.85121 + 6.11881i −0.161127 + 0.532574i
\(133\) 1.64147 + 15.6176i 0.142334 + 1.35421i
\(134\) −4.43250 + 3.99104i −0.382909 + 0.344773i
\(135\) 3.64194 3.70624i 0.313449 0.318983i
\(136\) −0.953450 4.48563i −0.0817577 0.384640i
\(137\) 5.43517 + 1.15528i 0.464358 + 0.0987024i 0.434149 0.900841i \(-0.357049\pi\)
0.0302095 + 0.999544i \(0.490383\pi\)
\(138\) 2.16112 + 9.23783i 0.183967 + 0.786377i
\(139\) 5.01572 1.62971i 0.425428 0.138230i −0.0884746 0.996078i \(-0.528199\pi\)
0.513903 + 0.857848i \(0.328199\pi\)
\(140\) 2.07901 0.675512i 0.175709 0.0570912i
\(141\) 4.29597 + 18.3633i 0.361786 + 1.54647i
\(142\) −11.6954 2.48593i −0.981453 0.208614i
\(143\) −2.08693 9.81822i −0.174518 0.821041i
\(144\) −0.434843 2.96832i −0.0362369 0.247360i
\(145\) −4.45583 + 4.01205i −0.370037 + 0.333183i
\(146\) −0.188028 1.78897i −0.0155613 0.148056i
\(147\) 1.11418 3.68270i 0.0918959 0.303744i
\(148\) −2.67693 0.281356i −0.220042 0.0231274i
\(149\) −12.4377 + 7.18089i −1.01893 + 0.588281i −0.913795 0.406176i \(-0.866862\pi\)
−0.105138 + 0.994458i \(0.533529\pi\)
\(150\) −1.71852 + 0.216097i −0.140316 + 0.0176443i
\(151\) 13.9180 19.1565i 1.13263 1.55893i 0.349656 0.936878i \(-0.386299\pi\)
0.782975 0.622054i \(-0.213701\pi\)
\(152\) −5.33853 4.80683i −0.433012 0.389886i
\(153\) −11.4502 7.62644i −0.925693 0.616561i
\(154\) 8.06818i 0.650152i
\(155\) −1.11642 5.45469i −0.0896727 0.438131i
\(156\) 2.84580 + 3.75367i 0.227846 + 0.300534i
\(157\) −3.20316 + 9.85832i −0.255640 + 0.786779i 0.738063 + 0.674732i \(0.235741\pi\)
−0.993703 + 0.112047i \(0.964259\pi\)
\(158\) −7.09099 + 7.87534i −0.564129 + 0.626529i
\(159\) 4.91862 0.100207i 0.390072 0.00794691i
\(160\) −0.500000 + 0.866025i −0.0395285 + 0.0684653i
\(161\) 5.98689 + 10.3696i 0.471833 + 0.817238i
\(162\) −7.15626 5.45783i −0.562249 0.428808i
\(163\) 7.20253 5.23294i 0.564145 0.409876i −0.268828 0.963188i \(-0.586636\pi\)
0.832974 + 0.553312i \(0.186636\pi\)
\(164\) 6.09590 0.640705i 0.476010 0.0500307i
\(165\) 1.20148 6.27879i 0.0935349 0.488803i
\(166\) 0.576447 + 1.29472i 0.0447409 + 0.100490i
\(167\) −11.1787 + 2.37611i −0.865036 + 0.183869i −0.619000 0.785391i \(-0.712462\pi\)
−0.246037 + 0.969260i \(0.579128\pi\)
\(168\) −1.61015 3.42684i −0.124226 0.264387i
\(169\) 5.11934 + 2.27928i 0.393795 + 0.175329i
\(170\) 1.41710 + 4.36139i 0.108687 + 0.334504i
\(171\) −21.5332 + 0.877754i −1.64669 + 0.0671235i
\(172\) −0.841077 + 1.88909i −0.0641315 + 0.144042i
\(173\) −2.49687 + 11.7469i −0.189834 + 0.893098i 0.775351 + 0.631530i \(0.217573\pi\)
−0.965185 + 0.261568i \(0.915761\pi\)
\(174\) 7.85767 + 6.79043i 0.595689 + 0.514781i
\(175\) −1.99701 + 0.889128i −0.150960 + 0.0672118i
\(176\) −2.46965 2.74282i −0.186157 0.206748i
\(177\) 3.50612 3.28868i 0.263536 0.247193i
\(178\) −1.92965 2.65594i −0.144634 0.199071i
\(179\) −1.99102 + 18.9433i −0.148816 + 1.41589i 0.624083 + 0.781358i \(0.285473\pi\)
−0.772899 + 0.634529i \(0.781194\pi\)
\(180\) 0.742734 + 2.90660i 0.0553602 + 0.216645i
\(181\) −10.2133 5.89665i −0.759148 0.438294i 0.0698417 0.997558i \(-0.477751\pi\)
−0.828990 + 0.559264i \(0.811084\pi\)
\(182\) 4.80964 + 3.49441i 0.356514 + 0.259023i
\(183\) 26.4996 + 2.24055i 1.95891 + 0.165626i
\(184\) −5.20938 1.69263i −0.384041 0.124782i
\(185\) 2.69167 0.197896
\(186\) −9.13272 + 3.09732i −0.669644 + 0.227107i
\(187\) −16.9256 −1.23772
\(188\) −10.3554 3.36468i −0.755247 0.245395i
\(189\) −10.6396 3.97769i −0.773915 0.289334i
\(190\) 5.81173 + 4.22247i 0.421628 + 0.306330i
\(191\) −9.12036 5.26564i −0.659926 0.381009i 0.132323 0.991207i \(-0.457757\pi\)
−0.792249 + 0.610198i \(0.791090\pi\)
\(192\) 1.59633 + 0.672113i 0.115205 + 0.0485056i
\(193\) 1.50082 14.2794i 0.108032 1.02785i −0.797426 0.603416i \(-0.793806\pi\)
0.905458 0.424436i \(-0.139528\pi\)
\(194\) 6.47749 + 8.91550i 0.465056 + 0.640095i
\(195\) −3.22257 3.43564i −0.230773 0.246031i
\(196\) 1.48640 + 1.65081i 0.106171 + 0.117915i
\(197\) −12.7875 + 5.69337i −0.911074 + 0.405636i −0.808098 0.589048i \(-0.799503\pi\)
−0.102975 + 0.994684i \(0.532836\pi\)
\(198\) −11.0498 0.707930i −0.785279 0.0503104i
\(199\) −2.32358 + 10.9316i −0.164714 + 0.774920i 0.815779 + 0.578364i \(0.196309\pi\)
−0.980493 + 0.196555i \(0.937025\pi\)
\(200\) 0.406737 0.913545i 0.0287606 0.0645974i
\(201\) −8.47977 5.90082i −0.598117 0.416211i
\(202\) 1.99274 + 6.13303i 0.140209 + 0.431518i
\(203\) 11.9739 + 5.33114i 0.840405 + 0.374172i
\(204\) 7.18890 3.37780i 0.503324 0.236493i
\(205\) −5.99554 + 1.27439i −0.418747 + 0.0890073i
\(206\) −4.39401 9.86911i −0.306145 0.687614i
\(207\) −14.7271 + 7.28953i −1.02360 + 0.506657i
\(208\) −2.70470 + 0.284275i −0.187537 + 0.0197109i
\(209\) −21.4501 + 15.5844i −1.48374 + 1.07800i
\(210\) 1.95953 + 3.23976i 0.135221 + 0.223565i
\(211\) 2.89490 + 5.01412i 0.199293 + 0.345186i 0.948300 0.317377i \(-0.102802\pi\)
−0.749006 + 0.662563i \(0.769469\pi\)
\(212\) −1.42018 + 2.45982i −0.0975382 + 0.168941i
\(213\) −0.421826 20.7052i −0.0289031 1.41870i
\(214\) 13.5230 15.0188i 0.924415 1.02667i
\(215\) 0.639006 1.96666i 0.0435798 0.134125i
\(216\) 4.83455 1.90451i 0.328949 0.129586i
\(217\) −9.90045 + 7.07941i −0.672086 + 0.480582i
\(218\) 13.2026i 0.894194i
\(219\) 2.94293 1.02294i 0.198865 0.0691242i
\(220\) 2.74282 + 2.46965i 0.184921 + 0.166504i
\(221\) −7.33064 + 10.0898i −0.493112 + 0.678711i
\(222\) −0.581664 4.62569i −0.0390387 0.310456i
\(223\) 2.36191 1.36365i 0.158165 0.0913169i −0.418828 0.908065i \(-0.637559\pi\)
0.576994 + 0.816749i \(0.304226\pi\)
\(224\) 2.17403 + 0.228500i 0.145258 + 0.0152673i
\(225\) −1.04249 2.81304i −0.0694992 0.187536i
\(226\) −1.14737 10.9165i −0.0763221 0.726156i
\(227\) 17.3935 15.6612i 1.15445 1.03947i 0.155782 0.987792i \(-0.450210\pi\)
0.998664 0.0516759i \(-0.0164563\pi\)
\(228\) 6.00049 10.9000i 0.397392 0.721872i
\(229\) −1.39905 6.58202i −0.0924519 0.434952i −0.999891 0.0147683i \(-0.995299\pi\)
0.907439 0.420184i \(-0.138034\pi\)
\(230\) 5.35777 + 1.13883i 0.353281 + 0.0750922i
\(231\) −13.6071 + 3.18328i −0.895282 + 0.209444i
\(232\) −5.70246 + 1.85284i −0.374385 + 0.121645i
\(233\) −0.931250 + 0.302581i −0.0610082 + 0.0198228i −0.339362 0.940656i \(-0.610211\pi\)
0.278354 + 0.960479i \(0.410211\pi\)
\(234\) −5.20781 + 6.28048i −0.340445 + 0.410568i
\(235\) 10.6504 + 2.26381i 0.694755 + 0.147675i
\(236\) 0.577035 + 2.71474i 0.0375618 + 0.176714i
\(237\) −16.0796 8.85187i −1.04448 0.574990i
\(238\) 7.44978 6.70781i 0.482898 0.434803i
\(239\) 1.32521 + 12.6086i 0.0857209 + 0.815580i 0.949933 + 0.312453i \(0.101151\pi\)
−0.864212 + 0.503127i \(0.832183\pi\)
\(240\) −1.65784 0.501569i −0.107013 0.0323761i
\(241\) −4.19226 0.440624i −0.270047 0.0283831i −0.0314630 0.999505i \(-0.510017\pi\)
−0.238584 + 0.971122i \(0.576683\pi\)
\(242\) −2.27094 + 1.31113i −0.145982 + 0.0842826i
\(243\) 6.38123 14.2225i 0.409356 0.912375i
\(244\) −9.02495 + 12.4218i −0.577763 + 0.795223i
\(245\) −1.65081 1.48640i −0.105467 0.0949625i
\(246\) 3.48568 + 10.0280i 0.222239 + 0.639365i
\(247\) 19.5367i 1.24309i
\(248\) 1.19872 5.43719i 0.0761191 0.345262i
\(249\) −1.95613 + 1.48301i −0.123965 + 0.0939822i
\(250\) −0.309017 + 0.951057i −0.0195440 + 0.0601501i
\(251\) 6.40209 7.11024i 0.404096 0.448794i −0.506408 0.862294i \(-0.669027\pi\)
0.910504 + 0.413500i \(0.135694\pi\)
\(252\) 5.14414 4.06759i 0.324051 0.256234i
\(253\) −10.1082 + 17.5079i −0.635498 + 1.10072i
\(254\) −7.38010 12.7827i −0.463068 0.802058i
\(255\) −6.79644 + 4.11074i −0.425610 + 0.257425i
\(256\) −0.809017 + 0.587785i −0.0505636 + 0.0367366i
\(257\) −9.79588 + 1.02959i −0.611050 + 0.0642240i −0.404999 0.914317i \(-0.632728\pi\)
−0.206051 + 0.978541i \(0.566061\pi\)
\(258\) −3.51782 0.673153i −0.219010 0.0419087i
\(259\) −2.39324 5.37531i −0.148709 0.334005i
\(260\) 2.66016 0.565435i 0.164976 0.0350668i
\(261\) −8.35194 + 15.9312i −0.516972 + 0.986119i
\(262\) −18.2310 8.11696i −1.12631 0.501467i
\(263\) 4.46155 + 13.7312i 0.275111 + 0.846704i 0.989190 + 0.146639i \(0.0468456\pi\)
−0.714079 + 0.700065i \(0.753154\pi\)
\(264\) 3.65142 5.24728i 0.224729 0.322948i
\(265\) 1.15528 2.59479i 0.0709681 0.159397i
\(266\) 3.26496 15.3604i 0.200188 0.941809i
\(267\) 3.71794 4.30228i 0.227534 0.263295i
\(268\) 5.44885 2.42599i 0.332842 0.148191i
\(269\) −4.96616 5.51548i −0.302792 0.336285i 0.572477 0.819921i \(-0.305983\pi\)
−0.875269 + 0.483636i \(0.839316\pi\)
\(270\) −4.60899 + 2.39943i −0.280494 + 0.146024i
\(271\) −4.36890 6.01328i −0.265392 0.365280i 0.655435 0.755251i \(-0.272485\pi\)
−0.920827 + 0.389971i \(0.872485\pi\)
\(272\) −0.479351 + 4.56072i −0.0290649 + 0.276534i
\(273\) −3.99574 + 9.49024i −0.241833 + 0.574375i
\(274\) −4.81216 2.77830i −0.290713 0.167843i
\(275\) −2.98595 2.16942i −0.180059 0.130821i
\(276\) 0.799298 9.45353i 0.0481121 0.569035i
\(277\) −19.3130 6.27518i −1.16041 0.377039i −0.335352 0.942093i \(-0.608855\pi\)
−0.825054 + 0.565054i \(0.808855\pi\)
\(278\) −5.27384 −0.316304
\(279\) −8.82698 14.1804i −0.528457 0.848960i
\(280\) −2.18600 −0.130639
\(281\) −24.9934 8.12085i −1.49098 0.484449i −0.553609 0.832777i \(-0.686750\pi\)
−0.937373 + 0.348327i \(0.886750\pi\)
\(282\) 1.58888 18.7921i 0.0946162 1.11905i
\(283\) 0.177341 + 0.128846i 0.0105418 + 0.00765908i 0.593044 0.805170i \(-0.297926\pi\)
−0.582502 + 0.812829i \(0.697926\pi\)
\(284\) 10.3548 + 5.97832i 0.614442 + 0.354748i
\(285\) −4.82826 + 11.4675i −0.286001 + 0.679279i
\(286\) −1.04921 + 9.98258i −0.0620412 + 0.590282i
\(287\) 7.87578 + 10.8401i 0.464892 + 0.639869i
\(288\) −0.503701 + 2.95741i −0.0296808 + 0.174267i
\(289\) 2.69656 + 2.99483i 0.158621 + 0.176167i
\(290\) 5.47754 2.43876i 0.321652 0.143209i
\(291\) −12.4804 + 14.4420i −0.731616 + 0.846603i
\(292\) −0.373996 + 1.75951i −0.0218865 + 0.102968i
\(293\) 2.36345 5.30840i 0.138074 0.310120i −0.831253 0.555895i \(-0.812376\pi\)
0.969327 + 0.245775i \(0.0790423\pi\)
\(294\) −2.19766 + 3.15816i −0.128170 + 0.184187i
\(295\) −0.857642 2.63955i −0.0499338 0.153681i
\(296\) 2.45897 + 1.09480i 0.142925 + 0.0636341i
\(297\) −3.16576 18.9150i −0.183696 1.09756i
\(298\) 14.0479 2.98598i 0.813775 0.172973i
\(299\) 6.05895 + 13.6086i 0.350398 + 0.787007i
\(300\) 1.70118 + 0.325530i 0.0982180 + 0.0187945i
\(301\) −4.49560 + 0.472507i −0.259122 + 0.0272348i
\(302\) −19.1565 + 13.9180i −1.10233 + 0.800891i
\(303\) −9.55721 + 5.78056i −0.549048 + 0.332085i
\(304\) 3.59185 + 6.22127i 0.206007 + 0.356814i
\(305\) 7.67708 13.2971i 0.439588 0.761390i
\(306\) 8.53308 + 10.7915i 0.487804 + 0.616908i
\(307\) 17.0895 18.9798i 0.975349 1.08323i −0.0211621 0.999776i \(-0.506737\pi\)
0.996511 0.0834589i \(-0.0265967\pi\)
\(308\) 2.49320 7.67329i 0.142063 0.437226i
\(309\) 14.9108 11.3044i 0.848244 0.643085i
\(310\) −0.623816 + 5.53271i −0.0354304 + 0.314237i
\(311\) 10.2077i 0.578825i 0.957204 + 0.289413i \(0.0934600\pi\)
−0.957204 + 0.289413i \(0.906540\pi\)
\(312\) −1.54656 4.44935i −0.0875570 0.251895i
\(313\) 16.9992 + 15.3061i 0.960849 + 0.865153i 0.990928 0.134395i \(-0.0429091\pi\)
−0.0300785 + 0.999548i \(0.509576\pi\)
\(314\) 6.09277 8.38598i 0.343835 0.473248i
\(315\) −4.69078 + 4.58302i −0.264296 + 0.258224i
\(316\) 9.17755 5.29866i 0.516278 0.298073i
\(317\) −13.6421 1.43384i −0.766214 0.0805324i −0.286646 0.958037i \(-0.592540\pi\)
−0.479569 + 0.877504i \(0.659207\pi\)
\(318\) −4.70885 1.42463i −0.264059 0.0798895i
\(319\) 2.31321 + 22.0087i 0.129515 + 1.23225i
\(320\) 0.743145 0.669131i 0.0415431 0.0374055i
\(321\) 30.6650 + 16.8811i 1.71155 + 0.942213i
\(322\) −2.48949 11.7121i −0.138734 0.652691i
\(323\) 32.2234 + 6.84930i 1.79296 + 0.381105i
\(324\) 5.11945 + 7.40211i 0.284414 + 0.411229i
\(325\) −2.58649 + 0.840401i −0.143472 + 0.0466170i
\(326\) −8.46708 + 2.75112i −0.468948 + 0.152370i
\(327\) −22.2664 + 5.20906i −1.23134 + 0.288062i
\(328\) −5.99554 1.27439i −0.331048 0.0703665i
\(329\) −4.94870 23.2818i −0.272831 1.28357i
\(330\) −3.08293 + 5.60021i −0.169710 + 0.308281i
\(331\) −11.6143 + 10.4576i −0.638382 + 0.574802i −0.923456 0.383703i \(-0.874648\pi\)
0.285074 + 0.958506i \(0.407982\pi\)
\(332\) −0.148143 1.40948i −0.00813039 0.0773555i
\(333\) 7.57180 2.80604i 0.414932 0.153770i
\(334\) 11.3659 + 1.19460i 0.621913 + 0.0653656i
\(335\) −5.16542 + 2.98226i −0.282217 + 0.162938i
\(336\) 0.472390 + 3.75669i 0.0257710 + 0.204944i
\(337\) 15.4268 21.2331i 0.840351 1.15664i −0.145557 0.989350i \(-0.546497\pi\)
0.985907 0.167293i \(-0.0535027\pi\)
\(338\) −4.16444 3.74968i −0.226516 0.203956i
\(339\) 17.9582 6.24215i 0.975355 0.339027i
\(340\) 4.58584i 0.248702i
\(341\) −18.7094 8.49994i −1.01317 0.460297i
\(342\) 20.7505 + 5.81934i 1.12206 + 0.314674i
\(343\) −6.22916 + 19.1714i −0.336343 + 1.03516i
\(344\) 1.38367 1.53672i 0.0746026 0.0828546i
\(345\) 0.193243 + 9.48529i 0.0104039 + 0.510671i
\(346\) 6.00465 10.4004i 0.322812 0.559127i
\(347\) −1.43457 2.48476i −0.0770120 0.133389i 0.824947 0.565209i \(-0.191205\pi\)
−0.901959 + 0.431821i \(0.857871\pi\)
\(348\) −5.37473 8.88624i −0.288116 0.476353i
\(349\) −22.0255 + 16.0025i −1.17900 + 0.856593i −0.992058 0.125778i \(-0.959857\pi\)
−0.186941 + 0.982371i \(0.559857\pi\)
\(350\) 2.17403 0.228500i 0.116207 0.0122138i
\(351\) −12.6468 6.30511i −0.675039 0.336542i
\(352\) 1.50120 + 3.37174i 0.0800141 + 0.179715i
\(353\) −2.56334 + 0.544856i −0.136433 + 0.0289997i −0.275622 0.961266i \(-0.588884\pi\)
0.139189 + 0.990266i \(0.455550\pi\)
\(354\) −4.35078 + 2.04427i −0.231241 + 0.108652i
\(355\) −10.9229 4.86321i −0.579729 0.258112i
\(356\) 1.01448 + 3.12224i 0.0537673 + 0.165479i
\(357\) 14.2521 + 9.91761i 0.754302 + 0.524896i
\(358\) 7.74737 17.4009i 0.409461 0.919665i
\(359\) 7.14471 33.6132i 0.377084 1.77404i −0.223732 0.974651i \(-0.571824\pi\)
0.600815 0.799388i \(-0.294843\pi\)
\(360\) 0.191808 2.99386i 0.0101091 0.157790i
\(361\) 29.7866 13.2619i 1.56772 0.697993i
\(362\) 7.89125 + 8.76413i 0.414755 + 0.460632i
\(363\) −3.10723 3.31267i −0.163087 0.173870i
\(364\) −3.49441 4.80964i −0.183157 0.252094i
\(365\) 0.188028 1.78897i 0.00984183 0.0936388i
\(366\) −24.5103 10.3197i −1.28117 0.539421i
\(367\) 10.5384 + 6.08435i 0.550100 + 0.317601i 0.749162 0.662386i \(-0.230456\pi\)
−0.199062 + 0.979987i \(0.563790\pi\)
\(368\) 4.43137 + 3.21958i 0.231001 + 0.167832i
\(369\) −15.5372 + 9.83520i −0.808833 + 0.512000i
\(370\) −2.55993 0.831773i −0.133085 0.0432418i
\(371\) −6.20903 −0.322357
\(372\) 9.64286 0.123565i 0.499959 0.00640655i
\(373\) −21.1831 −1.09682 −0.548411 0.836209i \(-0.684767\pi\)
−0.548411 + 0.836209i \(0.684767\pi\)
\(374\) 16.0972 + 5.23029i 0.832366 + 0.270452i
\(375\) −1.72589 0.145925i −0.0891247 0.00753552i
\(376\) 8.80885 + 6.40000i 0.454282 + 0.330055i
\(377\) 14.1218 + 8.15323i 0.727310 + 0.419913i
\(378\) 8.88967 + 7.07081i 0.457235 + 0.363683i
\(379\) −0.363458 + 3.45807i −0.0186696 + 0.177629i −0.999883 0.0152962i \(-0.995131\pi\)
0.981213 + 0.192925i \(0.0617976\pi\)
\(380\) −4.22247 5.81173i −0.216608 0.298136i
\(381\) 18.6464 17.4900i 0.955285 0.896041i
\(382\) 7.04681 + 7.82627i 0.360546 + 0.400427i
\(383\) 3.33636 1.48544i 0.170480 0.0759026i −0.319722 0.947511i \(-0.603590\pi\)
0.490202 + 0.871609i \(0.336923\pi\)
\(384\) −1.31050 1.13251i −0.0668764 0.0577932i
\(385\) −1.67747 + 7.89187i −0.0854917 + 0.402207i
\(386\) −5.83994 + 13.1167i −0.297245 + 0.667623i
\(387\) −0.252666 6.19845i −0.0128437 0.315085i
\(388\) −3.40542 10.4808i −0.172884 0.532082i
\(389\) 26.6684 + 11.8736i 1.35214 + 0.602013i 0.949622 0.313397i \(-0.101467\pi\)
0.402522 + 0.915411i \(0.368134\pi\)
\(390\) 2.00318 + 4.26331i 0.101435 + 0.215881i
\(391\) 24.5699 5.22249i 1.24255 0.264113i
\(392\) −0.903519 2.02934i −0.0456346 0.102497i
\(393\) 6.49638 33.9494i 0.327699 1.71252i
\(394\) 13.9210 1.46316i 0.701330 0.0737128i
\(395\) −8.57341 + 6.22895i −0.431375 + 0.313412i
\(396\) 10.2903 + 4.08787i 0.517105 + 0.205423i
\(397\) −4.66581 8.08142i −0.234170 0.405595i 0.724861 0.688895i \(-0.241904\pi\)
−0.959031 + 0.283300i \(0.908571\pi\)
\(398\) 5.58790 9.67853i 0.280096 0.485141i
\(399\) 27.1938 0.554017i 1.36139 0.0277356i
\(400\) −0.669131 + 0.743145i −0.0334565 + 0.0371572i
\(401\) 9.34516 28.7614i 0.466675 1.43628i −0.390189 0.920735i \(-0.627590\pi\)
0.856864 0.515543i \(-0.172410\pi\)
\(402\) 6.24129 + 8.23240i 0.311287 + 0.410595i
\(403\) −13.1702 + 7.47172i −0.656056 + 0.372193i
\(404\) 6.44865i 0.320832i
\(405\) −5.86513 6.82644i −0.291441 0.339208i
\(406\) −9.74047 8.77036i −0.483411 0.435266i
\(407\) 5.83937 8.03720i 0.289447 0.398389i
\(408\) −7.88085 + 0.990989i −0.390160 + 0.0490612i
\(409\) 12.4271 7.17477i 0.614479 0.354769i −0.160238 0.987078i \(-0.551226\pi\)
0.774716 + 0.632309i \(0.217893\pi\)
\(410\) 6.09590 + 0.640705i 0.301055 + 0.0316422i
\(411\) 2.78702 9.21194i 0.137474 0.454392i
\(412\) 1.12923 + 10.7439i 0.0556332 + 0.529314i
\(413\) −4.50867 + 4.05962i −0.221857 + 0.199761i
\(414\) 16.2589 2.38184i 0.799080 0.117061i
\(415\) 0.294662 + 1.38628i 0.0144644 + 0.0680497i
\(416\) 2.66016 + 0.565435i 0.130425 + 0.0277227i
\(417\) −2.08078 8.89442i −0.101896 0.435561i
\(418\) 25.2162 8.19323i 1.23336 0.400744i
\(419\) −0.514090 + 0.167038i −0.0251149 + 0.00816033i −0.321548 0.946893i \(-0.604203\pi\)
0.296433 + 0.955054i \(0.404203\pi\)
\(420\) −0.862483 3.68673i −0.0420848 0.179894i
\(421\) −17.5901 3.73890i −0.857290 0.182223i −0.241760 0.970336i \(-0.577725\pi\)
−0.615530 + 0.788113i \(0.711058\pi\)
\(422\) −1.20377 5.66329i −0.0585985 0.275684i
\(423\) 32.3200 4.73471i 1.57145 0.230210i
\(424\) 2.11080 1.90057i 0.102509 0.0922998i
\(425\) 0.479351 + 4.56072i 0.0232519 + 0.221227i
\(426\) −5.99709 + 19.8222i −0.290560 + 0.960388i
\(427\) −33.3804 3.50842i −1.61539 0.169784i
\(428\) −17.5022 + 10.1049i −0.846002 + 0.488440i
\(429\) −17.2497 + 2.16909i −0.832825 + 0.104725i
\(430\) −1.21546 + 1.67294i −0.0586148 + 0.0806763i
\(431\) 15.0404 + 13.5425i 0.724472 + 0.652317i 0.946493 0.322725i \(-0.104599\pi\)
−0.222021 + 0.975042i \(0.571265\pi\)
\(432\) −5.18645 + 0.317341i −0.249533 + 0.0152681i
\(433\) 33.0377i 1.58769i −0.608120 0.793845i \(-0.708076\pi\)
0.608120 0.793845i \(-0.291924\pi\)
\(434\) 11.6035 3.67352i 0.556988 0.176334i
\(435\) 6.27415 + 8.27575i 0.300823 + 0.396792i
\(436\) 4.07983 12.5564i 0.195389 0.601344i
\(437\) 26.3293 29.2416i 1.25950 1.39882i
\(438\) −3.11500 + 0.0634618i −0.148841 + 0.00303232i
\(439\) 0.0919831 0.159319i 0.00439011 0.00760390i −0.863822 0.503797i \(-0.831936\pi\)
0.868212 + 0.496193i \(0.165269\pi\)
\(440\) −1.84542 3.19636i −0.0879768 0.152380i
\(441\) −6.19336 2.46035i −0.294922 0.117160i
\(442\) 10.0898 7.33064i 0.479921 0.348683i
\(443\) 17.6901 1.85930i 0.840481 0.0883381i 0.325502 0.945541i \(-0.394467\pi\)
0.514979 + 0.857203i \(0.327800\pi\)
\(444\) −0.876221 + 4.57903i −0.0415836 + 0.217311i
\(445\) −1.33528 2.99910i −0.0632986 0.142171i
\(446\) −2.66771 + 0.567038i −0.126320 + 0.0268500i
\(447\) 10.5785 + 22.5139i 0.500345 + 1.06487i
\(448\) −1.99701 0.889128i −0.0943500 0.0420073i
\(449\) 3.59150 + 11.0535i 0.169493 + 0.521646i 0.999339 0.0363460i \(-0.0115718\pi\)
−0.829846 + 0.557992i \(0.811572\pi\)
\(450\) 0.122187 + 2.99751i 0.00575995 + 0.141304i
\(451\) −9.20156 + 20.6670i −0.433285 + 0.973173i
\(452\) −2.28218 + 10.7368i −0.107344 + 0.505016i
\(453\) −31.0310 26.8164i −1.45797 1.25994i
\(454\) −21.3817 + 9.51976i −1.00349 + 0.446785i
\(455\) 3.97801 + 4.41803i 0.186492 + 0.207120i
\(456\) −9.07510 + 8.51229i −0.424981 + 0.398625i
\(457\) 10.4017 + 14.3168i 0.486573 + 0.669710i 0.979751 0.200218i \(-0.0641650\pi\)
−0.493178 + 0.869928i \(0.664165\pi\)
\(458\) −0.703379 + 6.69220i −0.0328667 + 0.312706i
\(459\) −14.8333 + 18.6489i −0.692359 + 0.870457i
\(460\) −4.74363 2.73874i −0.221173 0.127694i
\(461\) 30.0510 + 21.8334i 1.39962 + 1.01688i 0.994732 + 0.102513i \(0.0326883\pi\)
0.404885 + 0.914368i \(0.367312\pi\)
\(462\) 13.9248 + 1.17735i 0.647841 + 0.0547751i
\(463\) 7.50915 + 2.43987i 0.348980 + 0.113390i 0.478261 0.878217i \(-0.341267\pi\)
−0.129282 + 0.991608i \(0.541267\pi\)
\(464\) 5.99592 0.278353
\(465\) −9.57712 + 1.13084i −0.444128 + 0.0524415i
\(466\) 0.979174 0.0453594
\(467\) −33.9339 11.0258i −1.57027 0.510212i −0.610744 0.791828i \(-0.709130\pi\)
−0.959527 + 0.281616i \(0.909130\pi\)
\(468\) 6.89370 4.36378i 0.318661 0.201716i
\(469\) 10.5483 + 7.66381i 0.487076 + 0.353882i
\(470\) −9.42958 5.44417i −0.434954 0.251121i
\(471\) 16.5470 + 6.96688i 0.762444 + 0.321017i
\(472\) 0.290107 2.76018i 0.0133533 0.127048i
\(473\) −4.48607 6.17454i −0.206270 0.283906i
\(474\) 12.5573 + 13.3875i 0.576774 + 0.614908i
\(475\) 4.80683 + 5.33853i 0.220553 + 0.244948i
\(476\) −9.15799 + 4.07740i −0.419756 + 0.186887i
\(477\) 0.544802 8.50363i 0.0249448 0.389355i
\(478\) 2.63591 12.4010i 0.120564 0.567207i
\(479\) −8.71390 + 19.5717i −0.398148 + 0.894256i 0.597570 + 0.801817i \(0.296133\pi\)
−0.995718 + 0.0924392i \(0.970534\pi\)
\(480\) 1.42170 + 0.989321i 0.0648916 + 0.0451561i
\(481\) −2.26208 6.96198i −0.103142 0.317439i
\(482\) 3.85092 + 1.71454i 0.175404 + 0.0780951i
\(483\) 18.7704 8.81954i 0.854084 0.401303i
\(484\) 2.56496 0.545198i 0.116589 0.0247817i
\(485\) 4.48230 + 10.0674i 0.203531 + 0.457138i
\(486\) −10.4639 + 11.5545i −0.474653 + 0.524123i
\(487\) 34.2088 3.59549i 1.55015 0.162927i 0.709577 0.704628i \(-0.248886\pi\)
0.840572 + 0.541700i \(0.182219\pi\)
\(488\) 12.4218 9.02495i 0.562308 0.408540i
\(489\) −7.98047 13.1944i −0.360889 0.596672i
\(490\) 1.11069 + 1.92378i 0.0501760 + 0.0869074i
\(491\) −1.67715 + 2.90492i −0.0756889 + 0.131097i −0.901386 0.433017i \(-0.857449\pi\)
0.825697 + 0.564114i \(0.190782\pi\)
\(492\) −0.216246 10.6144i −0.00974912 0.478533i
\(493\) 18.3986 20.4337i 0.828633 0.920290i
\(494\) 6.03719 18.5805i 0.271626 0.835978i
\(495\) −10.6612 2.98985i −0.479185 0.134384i
\(496\) −2.82024 + 4.80065i −0.126632 + 0.215556i
\(497\) 26.1373i 1.17242i
\(498\) 2.31867 0.805953i 0.103902 0.0361156i
\(499\) −18.4916 16.6499i −0.827799 0.745354i 0.141841 0.989889i \(-0.454698\pi\)
−0.969640 + 0.244535i \(0.921365\pi\)
\(500\) 0.587785 0.809017i 0.0262866 0.0361803i
\(501\) 2.46966 + 19.6400i 0.110336 + 0.877452i
\(502\) −8.28593 + 4.78389i −0.369819 + 0.213515i
\(503\) −37.9553 3.98926i −1.69234 0.177872i −0.791248 0.611495i \(-0.790568\pi\)
−0.901095 + 0.433623i \(0.857235\pi\)
\(504\) −6.14933 + 2.27888i −0.273913 + 0.101510i
\(505\) 0.674067 + 6.41332i 0.0299956 + 0.285389i
\(506\) 15.0237 13.5274i 0.667887 0.601368i
\(507\) 4.68082 8.50282i 0.207883 0.377624i
\(508\) 3.06882 + 14.4376i 0.136157 + 0.640567i
\(509\) −8.18192 1.73912i −0.362657 0.0770852i 0.0229793 0.999736i \(-0.492685\pi\)
−0.385637 + 0.922651i \(0.626018\pi\)
\(510\) 7.73409 1.80933i 0.342471 0.0801186i
\(511\) −3.73977 + 1.21513i −0.165438 + 0.0537540i
\(512\) 0.951057 0.309017i 0.0420312 0.0136568i
\(513\) −1.62732 + 37.2921i −0.0718478 + 1.64649i
\(514\) 9.63460 + 2.04790i 0.424964 + 0.0903289i
\(515\) −2.24609 10.5670i −0.0989745 0.465638i
\(516\) 3.13763 + 1.72727i 0.138127 + 0.0760390i
\(517\) 29.8648 26.8904i 1.31345 1.18264i
\(518\) 0.615046 + 5.85178i 0.0270236 + 0.257112i
\(519\) 19.9095 + 6.02349i 0.873929 + 0.264402i
\(520\) −2.70470 0.284275i −0.118609 0.0124663i
\(521\) 19.5869 11.3085i 0.858119 0.495435i −0.00526273 0.999986i \(-0.501675\pi\)
0.863382 + 0.504551i \(0.168342\pi\)
\(522\) 12.8662 12.5706i 0.563138 0.550201i
\(523\) −20.9331 + 28.8119i −0.915339 + 1.25986i 0.0499715 + 0.998751i \(0.484087\pi\)
−0.965310 + 0.261105i \(0.915913\pi\)
\(524\) 14.8304 + 13.3534i 0.647870 + 0.583345i
\(525\) 1.24313 + 3.57638i 0.0542545 + 0.156086i
\(526\) 14.4379i 0.629521i
\(527\) 7.70637 + 24.3421i 0.335695 + 1.06036i
\(528\) −5.09420 + 3.86211i −0.221697 + 0.168077i
\(529\) 2.16395 6.65994i 0.0940846 0.289563i
\(530\) −1.90057 + 2.11080i −0.0825554 + 0.0916871i
\(531\) −5.16428 6.53109i −0.224111 0.283425i
\(532\) −7.85180 + 13.5997i −0.340419 + 0.589622i
\(533\) 8.33485 + 14.4364i 0.361022 + 0.625309i
\(534\) −4.86545 + 2.94281i −0.210549 + 0.127348i
\(535\) 16.3501 11.8790i 0.706877 0.513576i
\(536\) −5.93184 + 0.623461i −0.256216 + 0.0269294i
\(537\) 32.4035 + 6.20058i 1.39832 + 0.267575i
\(538\) 3.01872 + 6.78016i 0.130146 + 0.292313i
\(539\) −8.01961 + 1.70462i −0.345429 + 0.0734232i
\(540\) 5.12487 0.857735i 0.220539 0.0369110i
\(541\) −32.6644 14.5431i −1.40435 0.625257i −0.441987 0.897022i \(-0.645726\pi\)
−0.962364 + 0.271764i \(0.912393\pi\)
\(542\) 2.29687 + 7.06903i 0.0986589 + 0.303641i
\(543\) −11.6674 + 16.7666i −0.500694 + 0.719523i
\(544\) 1.86523 4.18937i 0.0799711 0.179618i
\(545\) −2.74498 + 12.9141i −0.117582 + 0.553180i
\(546\) 6.73282 7.79100i 0.288138 0.333424i
\(547\) −24.3829 + 10.8560i −1.04254 + 0.464167i −0.855292 0.518146i \(-0.826622\pi\)
−0.187244 + 0.982313i \(0.559956\pi\)
\(548\) 3.71809 + 4.12936i 0.158829 + 0.176397i
\(549\) 7.73390 45.4086i 0.330075 1.93799i
\(550\) 2.16942 + 2.98595i 0.0925043 + 0.127321i
\(551\) 4.50234 42.8369i 0.191806 1.82491i
\(552\) −3.68148 + 8.74384i −0.156694 + 0.372163i
\(553\) 20.0622 + 11.5829i 0.853130 + 0.492555i
\(554\) 16.4286 + 11.9361i 0.697986 + 0.507116i
\(555\) 0.392782 4.64554i 0.0166726 0.197192i
\(556\) 5.01572 + 1.62971i 0.212714 + 0.0691150i
\(557\) 4.47753 0.189719 0.0948595 0.995491i \(-0.469760\pi\)
0.0948595 + 0.995491i \(0.469760\pi\)
\(558\) 4.01296 + 16.2141i 0.169882 + 0.686396i
\(559\) −5.62376 −0.237860
\(560\) 2.07901 + 0.675512i 0.0878543 + 0.0285456i
\(561\) −2.46986 + 29.2117i −0.104278 + 1.23332i
\(562\) 21.2607 + 15.4468i 0.896827 + 0.651583i
\(563\) 1.56813 + 0.905361i 0.0660889 + 0.0381564i 0.532680 0.846317i \(-0.321185\pi\)
−0.466591 + 0.884473i \(0.654518\pi\)
\(564\) −7.31819 + 17.3814i −0.308151 + 0.731887i
\(565\) 1.14737 10.9165i 0.0482703 0.459262i
\(566\) −0.128846 0.177341i −0.00541579 0.00745420i
\(567\) −8.41763 + 17.7823i −0.353507 + 0.746787i
\(568\) −8.00056 8.88552i −0.335696 0.372828i
\(569\) −38.3816 + 17.0886i −1.60904 + 0.716391i −0.997214 0.0746005i \(-0.976232\pi\)
−0.611827 + 0.790992i \(0.709565\pi\)
\(570\) 8.13561 9.41427i 0.340763 0.394320i
\(571\) 6.36279 29.9346i 0.266274 1.25272i −0.618158 0.786054i \(-0.712121\pi\)
0.884432 0.466668i \(-0.154546\pi\)
\(572\) 4.08265 9.16978i 0.170704 0.383408i
\(573\) −10.4188 + 14.9724i −0.435253 + 0.625480i
\(574\) −4.14054 12.7433i −0.172823 0.531894i
\(575\) 5.00392 + 2.22789i 0.208678 + 0.0929093i
\(576\) 1.39294 2.65701i 0.0580391 0.110709i
\(577\) −26.5441 + 5.64213i −1.10505 + 0.234885i −0.724088 0.689707i \(-0.757739\pi\)
−0.380958 + 0.924592i \(0.624406\pi\)
\(578\) −1.63913 3.68154i −0.0681786 0.153132i
\(579\) −24.4257 4.67397i −1.01510 0.194244i
\(580\) −5.96307 + 0.626744i −0.247603 + 0.0260241i
\(581\) 2.50642 1.82102i 0.103984 0.0755487i
\(582\) 16.3324 9.87846i 0.677000 0.409475i
\(583\) −5.24164 9.07879i −0.217087 0.376005i
\(584\) 0.899410 1.55782i 0.0372179 0.0644632i
\(585\) −6.39979 + 5.06047i −0.264599 + 0.209225i
\(586\) −3.88817 + 4.31825i −0.160619 + 0.178385i
\(587\) −0.133143 + 0.409772i −0.00549541 + 0.0169131i −0.953767 0.300548i \(-0.902830\pi\)
0.948271 + 0.317461i \(0.102830\pi\)
\(588\) 3.06603 2.32447i 0.126441 0.0958595i
\(589\) 32.1798 + 23.7536i 1.32595 + 0.978749i
\(590\) 2.77539i 0.114261i
\(591\) 7.96014 + 22.9007i 0.327436 + 0.942009i
\(592\) −2.00030 1.80108i −0.0822120 0.0740240i
\(593\) 12.1674 16.7470i 0.499657 0.687719i −0.482476 0.875909i \(-0.660262\pi\)
0.982132 + 0.188191i \(0.0602623\pi\)
\(594\) −2.83426 + 18.9676i −0.116291 + 0.778248i
\(595\) 8.68162 5.01233i 0.355912 0.205486i
\(596\) −14.2831 1.50121i −0.585059 0.0614921i
\(597\) 18.5277 + 5.60544i 0.758287 + 0.229415i
\(598\) −1.55711 14.8149i −0.0636749 0.605826i
\(599\) 11.9576 10.7667i 0.488576 0.439916i −0.387657 0.921804i \(-0.626715\pi\)
0.876233 + 0.481888i \(0.160049\pi\)
\(600\) −1.51733 0.835293i −0.0619447 0.0341007i
\(601\) −5.02182 23.6258i −0.204845 0.963718i −0.953648 0.300925i \(-0.902705\pi\)
0.748803 0.662792i \(-0.230629\pi\)
\(602\) 4.42158 + 0.939837i 0.180210 + 0.0383049i
\(603\) −11.4216 + 13.7741i −0.465123 + 0.560925i
\(604\) 22.5198 7.31712i 0.916317 0.297729i
\(605\) −2.49392 + 0.810322i −0.101392 + 0.0329443i
\(606\) 10.8757 2.54430i 0.441797 0.103355i
\(607\) 7.76425 + 1.65034i 0.315141 + 0.0669853i 0.362767 0.931880i \(-0.381832\pi\)
−0.0476258 + 0.998865i \(0.515165\pi\)
\(608\) −1.49358 7.02672i −0.0605725 0.284971i
\(609\) 10.9483 19.8878i 0.443646 0.805893i
\(610\) −11.4104 + 10.2739i −0.461992 + 0.415980i
\(611\) −3.09528 29.4496i −0.125222 1.19140i
\(612\) −4.78069 12.9002i −0.193248 0.521459i
\(613\) −31.7438 3.33641i −1.28212 0.134756i −0.561146 0.827717i \(-0.689639\pi\)
−0.720976 + 0.692960i \(0.756306\pi\)
\(614\) −22.1182 + 12.7699i −0.892616 + 0.515352i
\(615\) 1.32457 + 10.5336i 0.0534116 + 0.424757i
\(616\) −4.74236 + 6.52729i −0.191075 + 0.262992i
\(617\) −19.2548 17.3371i −0.775168 0.697964i 0.183334 0.983051i \(-0.441311\pi\)
−0.958502 + 0.285086i \(0.907978\pi\)
\(618\) −17.6742 + 6.14345i −0.710962 + 0.247126i
\(619\) 39.8751i 1.60271i −0.598187 0.801357i \(-0.704112\pi\)
0.598187 0.801357i \(-0.295888\pi\)
\(620\) 2.30299 5.06915i 0.0924901 0.203582i
\(621\) 10.4319 + 26.4811i 0.418618 + 1.06265i
\(622\) 3.15435 9.70809i 0.126478 0.389259i
\(623\) −4.80200 + 5.33316i −0.192388 + 0.213669i
\(624\) 0.0959463 + 4.70950i 0.00384093 + 0.188531i
\(625\) −0.500000 + 0.866025i −0.0200000 + 0.0346410i
\(626\) −11.4373 19.8100i −0.457127 0.791767i
\(627\) 23.7670 + 39.2948i 0.949162 + 1.56928i
\(628\) −8.38598 + 6.09277i −0.334637 + 0.243128i
\(629\) −12.2760 + 1.29026i −0.489475 + 0.0514459i
\(630\) 5.87743 2.90918i 0.234162 0.115904i
\(631\) 8.46078 + 19.0032i 0.336818 + 0.756506i 0.999968 + 0.00801934i \(0.00255266\pi\)
−0.663150 + 0.748487i \(0.730781\pi\)
\(632\) −10.3657 + 2.20331i −0.412327 + 0.0876429i
\(633\) 9.07627 4.26461i 0.360749 0.169503i
\(634\) 12.5313 + 5.57929i 0.497681 + 0.221582i
\(635\) −4.56115 14.0378i −0.181004 0.557072i
\(636\) 4.03815 + 2.81002i 0.160123 + 0.111425i
\(637\) −2.45721 + 5.51897i −0.0973580 + 0.218670i
\(638\) 4.60107 21.6463i 0.182158 0.856987i
\(639\) −35.7966 2.29338i −1.41609 0.0907245i
\(640\) −0.913545 + 0.406737i −0.0361111 + 0.0160777i
\(641\) −6.80511 7.55784i −0.268786 0.298517i 0.593609 0.804754i \(-0.297703\pi\)
−0.862394 + 0.506237i \(0.831036\pi\)
\(642\) −23.9476 25.5309i −0.945135 1.00762i
\(643\) 13.9285 + 19.1709i 0.549286 + 0.756028i 0.989915 0.141662i \(-0.0452445\pi\)
−0.440629 + 0.897689i \(0.645244\pi\)
\(644\) −1.25160 + 11.9082i −0.0493199 + 0.469248i
\(645\) −3.30099 1.38984i −0.129977 0.0547249i
\(646\) −28.5297 16.4717i −1.12249 0.648069i
\(647\) 26.4307 + 19.2031i 1.03910 + 0.754950i 0.970110 0.242668i \(-0.0780224\pi\)
0.0689898 + 0.997617i \(0.478022\pi\)
\(648\) −2.58150 8.62182i −0.101411 0.338697i
\(649\) −9.74214 3.16541i −0.382413 0.124253i
\(650\) 2.71959 0.106671
\(651\) 10.7736 + 18.1202i 0.422250 + 0.710186i
\(652\) 8.90281 0.348661
\(653\) −32.4979 10.5592i −1.27174 0.413214i −0.406077 0.913839i \(-0.633103\pi\)
−0.865664 + 0.500625i \(0.833103\pi\)
\(654\) 22.7863 + 1.92659i 0.891015 + 0.0753356i
\(655\) −16.1450 11.7300i −0.630837 0.458330i
\(656\) 5.30829 + 3.06474i 0.207254 + 0.119658i
\(657\) −1.33605 5.22846i −0.0521241 0.203982i
\(658\) −2.48798 + 23.6716i −0.0969916 + 0.922813i
\(659\) −10.3301 14.2182i −0.402403 0.553861i 0.558942 0.829207i \(-0.311208\pi\)
−0.961345 + 0.275346i \(0.911208\pi\)
\(660\) 4.66260 4.37344i 0.181491 0.170236i
\(661\) 11.7988 + 13.1039i 0.458920 + 0.509682i 0.927543 0.373716i \(-0.121917\pi\)
−0.468623 + 0.883398i \(0.655250\pi\)
\(662\) 14.2775 6.35674i 0.554910 0.247062i
\(663\) 16.3441 + 14.1242i 0.634753 + 0.548540i
\(664\) −0.294662 + 1.38628i −0.0114351 + 0.0537980i
\(665\) 6.38723 14.3459i 0.247686 0.556312i
\(666\) −8.06832 + 0.328887i −0.312641 + 0.0127441i
\(667\) −10.1489 31.2350i −0.392966 1.20943i
\(668\) −10.4404 4.64838i −0.403952 0.179851i
\(669\) −2.00886 4.27540i −0.0776668 0.165297i
\(670\) 5.83417 1.24009i 0.225394 0.0479089i
\(671\) −23.0496 51.7703i −0.889821 1.99857i
\(672\) 0.711610 3.71880i 0.0274510 0.143456i
\(673\) 9.73347 1.02303i 0.375198 0.0394349i 0.0849470 0.996385i \(-0.472928\pi\)
0.290251 + 0.956951i \(0.406261\pi\)
\(674\) −21.2331 + 15.4268i −0.817870 + 0.594218i
\(675\) −5.00714 + 1.38873i −0.192725 + 0.0534523i
\(676\) 2.80191 + 4.85304i 0.107766 + 0.186655i
\(677\) −0.202661 + 0.351020i −0.00778891 + 0.0134908i −0.869894 0.493239i \(-0.835813\pi\)
0.862105 + 0.506730i \(0.169146\pi\)
\(678\) −19.0082 + 0.387253i −0.730005 + 0.0148723i
\(679\) 16.1194 17.9024i 0.618607 0.687033i
\(680\) −1.41710 + 4.36139i −0.0543434 + 0.167252i
\(681\) −24.4913 32.3046i −0.938510 1.23792i
\(682\) 15.1671 + 13.8654i 0.580777 + 0.530935i
\(683\) 21.3556i 0.817150i −0.912725 0.408575i \(-0.866026\pi\)
0.912725 0.408575i \(-0.133974\pi\)
\(684\) −17.9367 11.9468i −0.685826 0.456797i
\(685\) −4.12936 3.71809i −0.157775 0.142061i
\(686\) 11.8486 16.3082i 0.452380 0.622648i
\(687\) −11.5640 + 1.45413i −0.441195 + 0.0554787i
\(688\) −1.79082 + 1.03393i −0.0682746 + 0.0394183i
\(689\) −7.68230 0.807442i −0.292672 0.0307611i
\(690\) 2.74733 9.08076i 0.104589 0.345699i
\(691\) 0.259829 + 2.47210i 0.00988435 + 0.0940433i 0.998352 0.0573899i \(-0.0182778\pi\)
−0.988467 + 0.151433i \(0.951611\pi\)
\(692\) −8.92465 + 8.03579i −0.339264 + 0.305475i
\(693\) 3.50839 + 23.9489i 0.133273 + 0.909744i
\(694\) 0.596530 + 2.80645i 0.0226440 + 0.106531i
\(695\) −5.15860 1.09649i −0.195677 0.0415924i
\(696\) 2.36567 + 10.1122i 0.0896707 + 0.383302i
\(697\) 26.7331 8.68611i 1.01259 0.329010i
\(698\) 25.8926 8.41300i 0.980048 0.318437i
\(699\) 0.386331 + 1.65139i 0.0146124 + 0.0624614i
\(700\) −2.13823 0.454496i −0.0808177 0.0171783i
\(701\) −3.89924 18.3445i −0.147272 0.692861i −0.988381 0.151995i \(-0.951430\pi\)
0.841109 0.540866i \(-0.181903\pi\)
\(702\) 10.0795 + 9.90460i 0.380425 + 0.373825i
\(703\) −14.3696 + 12.9384i −0.541959 + 0.487982i
\(704\) −0.385797 3.67062i −0.0145403 0.138342i
\(705\) 5.46125 18.0511i 0.205683 0.679844i
\(706\) 2.60626 + 0.273928i 0.0980877 + 0.0103094i
\(707\) 12.2082 7.04839i 0.459135 0.265082i
\(708\) 4.76955 0.599754i 0.179251 0.0225401i
\(709\) 1.27468 1.75444i 0.0478715 0.0658894i −0.784410 0.620242i \(-0.787034\pi\)
0.832282 + 0.554353i \(0.187034\pi\)
\(710\) 8.88552 + 8.00056i 0.333468 + 0.300256i
\(711\) −17.6238 + 26.4600i −0.660944 + 0.992327i
\(712\) 3.28292i 0.123033i
\(713\) 29.7821 + 6.56598i 1.11535 + 0.245898i
\(714\) −10.4899 13.8364i −0.392573 0.517813i
\(715\) −3.10178 + 9.54630i −0.116000 + 0.357011i
\(716\) −12.7454 + 14.1551i −0.476316 + 0.529003i
\(717\) 21.9544 0.447276i 0.819903 0.0167038i
\(718\) −17.1821 + 29.7602i −0.641230 + 1.11064i
\(719\) 16.5506 + 28.6664i 0.617232 + 1.06908i 0.989989 + 0.141148i \(0.0450792\pi\)
−0.372757 + 0.927929i \(0.621587\pi\)
\(720\) −1.10757 + 2.78806i −0.0412769 + 0.103905i
\(721\) −19.1054 + 13.8809i −0.711523 + 0.516952i
\(722\) −32.4269 + 3.40821i −1.20680 + 0.126840i
\(723\) −1.37222 + 7.17109i −0.0510336 + 0.266696i
\(724\) −4.79676 10.7737i −0.178270 0.400402i
\(725\) 5.86489 1.24662i 0.217817 0.0462983i
\(726\) 1.93148 + 4.11073i 0.0716840 + 0.152563i
\(727\) 7.87455 + 3.50598i 0.292051 + 0.130029i 0.547532 0.836785i \(-0.315567\pi\)
−0.255481 + 0.966814i \(0.582234\pi\)
\(728\) 1.83712 + 5.65407i 0.0680882 + 0.209554i
\(729\) −23.6154 13.0887i −0.874643 0.484768i
\(730\) −0.731646 + 1.64330i −0.0270794 + 0.0608214i
\(731\) −1.97161 + 9.27568i −0.0729225 + 0.343074i
\(732\) 20.1217 + 17.3887i 0.743719 + 0.642706i
\(733\) 2.05609 0.915431i 0.0759435 0.0338122i −0.368413 0.929662i \(-0.620099\pi\)
0.444357 + 0.895850i \(0.353432\pi\)
\(734\) −8.14245 9.04311i −0.300543 0.333787i
\(735\) −2.80626 + 2.63222i −0.103510 + 0.0970910i
\(736\) −3.21958 4.43137i −0.118675 0.163342i
\(737\) −2.30109 + 21.8934i −0.0847618 + 0.806455i
\(738\) 17.8160 4.55258i 0.655815 0.167583i
\(739\) −34.8580 20.1253i −1.28227 0.740320i −0.305008 0.952350i \(-0.598659\pi\)
−0.977263 + 0.212030i \(0.931993\pi\)
\(740\) 2.17761 + 1.58213i 0.0800505 + 0.0581601i
\(741\) 33.7183 + 2.85089i 1.23867 + 0.104730i
\(742\) 5.90514 + 1.91870i 0.216784 + 0.0704375i
\(743\) −9.56261 −0.350818 −0.175409 0.984496i \(-0.556125\pi\)
−0.175409 + 0.984496i \(0.556125\pi\)
\(744\) −9.20909 2.86229i −0.337622 0.104937i
\(745\) 14.3618 0.526175
\(746\) 20.1464 + 6.54595i 0.737611 + 0.239664i
\(747\) 2.27408 + 3.59248i 0.0832041 + 0.131442i
\(748\) −13.6931 9.94861i −0.500669 0.363757i
\(749\) −38.2599 22.0894i −1.39799 0.807129i
\(750\) 1.59633 + 0.672113i 0.0582897 + 0.0245421i
\(751\) 3.86289 36.7530i 0.140959 1.34114i −0.663968 0.747761i \(-0.731129\pi\)
0.804927 0.593374i \(-0.202205\pi\)
\(752\) −6.40000 8.80885i −0.233384 0.321226i
\(753\) −11.3373 12.0869i −0.413154 0.440470i
\(754\) −10.9111 12.1181i −0.397361 0.441314i
\(755\) −21.6316 + 9.63100i −0.787254 + 0.350508i
\(756\) −6.26957 9.47180i −0.228022 0.344486i
\(757\) 9.57884 45.0649i 0.348149 1.63791i −0.360794 0.932646i \(-0.617494\pi\)
0.708943 0.705266i \(-0.249173\pi\)
\(758\) 1.41427 3.17651i 0.0513687 0.115376i
\(759\) 28.7418 + 20.0005i 1.04326 + 0.725974i
\(760\) 2.21989 + 6.83210i 0.0805237 + 0.247826i
\(761\) 27.2571 + 12.1356i 0.988069 + 0.439917i 0.836165 0.548479i \(-0.184793\pi\)
0.151904 + 0.988395i \(0.451459\pi\)
\(762\) −23.1385 + 10.8719i −0.838220 + 0.393849i
\(763\) 28.2303 6.00054i 1.02201 0.217234i
\(764\) −4.28346 9.62081i −0.154970 0.348069i
\(765\) 6.10293 + 12.3298i 0.220652 + 0.445784i
\(766\) −3.63209 + 0.381749i −0.131233 + 0.0137931i
\(767\) −6.10640 + 4.43656i −0.220489 + 0.160195i
\(768\) 0.896399 + 1.48205i 0.0323460 + 0.0534788i
\(769\) −1.03301 1.78922i −0.0372512 0.0645210i 0.846799 0.531913i \(-0.178527\pi\)
−0.884050 + 0.467392i \(0.845194\pi\)
\(770\) 4.03409 6.98725i 0.145378 0.251803i
\(771\) 0.347499 + 17.0569i 0.0125149 + 0.614289i
\(772\) 9.60740 10.6701i 0.345778 0.384025i
\(773\) 9.43346 29.0332i 0.339298 1.04425i −0.625268 0.780410i \(-0.715010\pi\)
0.964566 0.263842i \(-0.0849896\pi\)
\(774\) −1.67513 + 5.97316i −0.0602112 + 0.214701i
\(775\) −1.76050 + 5.28211i −0.0632390 + 0.189739i
\(776\) 11.0202i 0.395601i
\(777\) −9.62644 + 3.34609i −0.345347 + 0.120040i
\(778\) −21.6941 19.5334i −0.777770 0.700307i
\(779\) 25.8816 35.6229i 0.927303 1.27632i
\(780\) −0.587697 4.67367i −0.0210429 0.167344i
\(781\) −38.2177 + 22.0650i −1.36754 + 0.789548i
\(782\) −24.9812 2.62563i −0.893326 0.0938924i
\(783\) 26.2768 + 16.7393i 0.939058 + 0.598214i
\(784\) 0.232198 + 2.20922i 0.00829279 + 0.0789006i
\(785\) 7.70318 6.93597i 0.274938 0.247555i
\(786\) −16.6693 + 30.2803i −0.594576 + 1.08006i
\(787\) −4.25960 20.0399i −0.151839 0.714344i −0.986524 0.163617i \(-0.947684\pi\)
0.834685 0.550727i \(-0.185649\pi\)
\(788\) −13.6918 2.91028i −0.487750 0.103675i
\(789\) 24.3497 5.69643i 0.866871 0.202798i
\(790\) 10.0787 3.27475i 0.358582 0.116510i
\(791\) −22.8206 + 7.41487i −0.811408 + 0.263642i
\(792\) −8.52340 7.06767i −0.302866 0.251139i
\(793\) −40.8446 8.68179i −1.45043 0.308299i
\(794\) 1.94015 + 9.12770i 0.0688534 + 0.323930i
\(795\) −4.30975 2.37253i −0.152851 0.0841449i
\(796\) −8.30524 + 7.47807i −0.294371 + 0.265053i
\(797\) −0.0364211 0.346523i −0.00129010 0.0122745i 0.993858 0.110664i \(-0.0352977\pi\)
−0.995148 + 0.0983892i \(0.968631\pi\)
\(798\) −26.0340 7.87644i −0.921594 0.278823i
\(799\) −49.6587 5.21933i −1.75680 0.184647i
\(800\) 0.866025 0.500000i 0.0306186 0.0176777i
\(801\) −6.88274 7.04458i −0.243190 0.248908i
\(802\) −17.7755 + 24.4659i −0.627676 + 0.863922i
\(803\) −4.93385 4.44246i −0.174112 0.156771i
\(804\) −3.39187 9.75815i −0.119622 0.344143i
\(805\) 11.9738i 0.422020i
\(806\) 14.8345 3.03620i 0.522524 0.106946i
\(807\) −10.2438 + 7.76621i −0.360599 + 0.273384i
\(808\) −1.99274 + 6.13303i −0.0701044 + 0.215759i
\(809\) −3.55440 + 3.94756i −0.124966 + 0.138789i −0.802381 0.596812i \(-0.796434\pi\)
0.677415 + 0.735601i \(0.263100\pi\)
\(810\) 3.46859 + 8.30475i 0.121874 + 0.291799i
\(811\) 7.80808 13.5240i 0.274179 0.474892i −0.695749 0.718285i \(-0.744927\pi\)
0.969928 + 0.243393i \(0.0782606\pi\)
\(812\) 6.55355 + 11.3511i 0.229984 + 0.398345i
\(813\) −11.0158 + 6.66277i −0.386341 + 0.233674i
\(814\) −8.03720 + 5.83937i −0.281704 + 0.204670i
\(815\) −8.85404 + 0.930597i −0.310144 + 0.0325974i
\(816\) 7.80136 + 1.49283i 0.273102 + 0.0522595i
\(817\) 6.04204 + 13.5707i 0.211384 + 0.474777i
\(818\) −14.0360 + 2.98344i −0.490756 + 0.104313i
\(819\) 15.7961 + 8.28108i 0.551959 + 0.289364i
\(820\) −5.59956 2.49308i −0.195545 0.0870623i
\(821\) 8.14824 + 25.0777i 0.284376 + 0.875218i 0.986585 + 0.163248i \(0.0521969\pi\)
−0.702210 + 0.711970i \(0.747803\pi\)
\(822\) −5.49726 + 7.89984i −0.191739 + 0.275539i
\(823\) −11.2849 + 25.3462i −0.393366 + 0.883514i 0.602952 + 0.797777i \(0.293991\pi\)
−0.996318 + 0.0857363i \(0.972676\pi\)
\(824\) 2.24609 10.5670i 0.0782462 0.368119i
\(825\) −4.17991 + 4.83685i −0.145526 + 0.168398i
\(826\) 5.54249 2.46767i 0.192848 0.0858614i
\(827\) 23.1122 + 25.6687i 0.803690 + 0.892588i 0.996055 0.0887356i \(-0.0282826\pi\)
−0.192366 + 0.981323i \(0.561616\pi\)
\(828\) −16.1991 2.75901i −0.562959 0.0958821i
\(829\) −9.25079 12.7326i −0.321293 0.442222i 0.617568 0.786517i \(-0.288118\pi\)
−0.938861 + 0.344295i \(0.888118\pi\)
\(830\) 0.148143 1.40948i 0.00514211 0.0489239i
\(831\) −13.6485 + 32.4165i −0.473462 + 1.12452i
\(832\) −2.35524 1.35980i −0.0816532 0.0471425i
\(833\) 8.24140 + 5.98773i 0.285548 + 0.207462i
\(834\) −0.769584 + 9.10209i −0.0266485 + 0.315180i
\(835\) 10.8691 + 3.53159i 0.376142 + 0.122216i
\(836\) −26.5138 −0.917000
\(837\) −25.7620 + 13.1651i −0.890464 + 0.455054i
\(838\) 0.540546 0.0186728
\(839\) 11.2449 + 3.65369i 0.388217 + 0.126139i 0.496621 0.867968i \(-0.334574\pi\)
−0.108404 + 0.994107i \(0.534574\pi\)
\(840\) −0.318992 + 3.77281i −0.0110063 + 0.130174i
\(841\) −5.62348 4.08570i −0.193913 0.140886i
\(842\) 15.5738 + 8.99155i 0.536709 + 0.309869i
\(843\) −17.6629 + 41.9509i −0.608342 + 1.44487i
\(844\) −0.605200 + 5.75809i −0.0208318 + 0.198202i
\(845\) −3.29384 4.53358i −0.113311 0.155960i
\(846\) −32.2013 5.48446i −1.10710 0.188560i
\(847\) 3.83564 + 4.25990i 0.131794 + 0.146372i
\(848\) −2.59479 + 1.15528i −0.0891056 + 0.0396724i
\(849\) 0.248252 0.287270i 0.00852000 0.00985907i
\(850\) 0.953450 4.48563i 0.0327031 0.153856i
\(851\) −5.99675 + 13.4689i −0.205566 + 0.461708i
\(852\) 11.8290 16.9988i 0.405254 0.582370i
\(853\) 15.0978 + 46.4663i 0.516940 + 1.59098i 0.779725 + 0.626122i \(0.215359\pi\)
−0.262785 + 0.964854i \(0.584641\pi\)
\(854\) 30.6625 + 13.6518i 1.04925 + 0.467156i
\(855\) 19.0872 + 10.0064i 0.652768 + 0.342213i
\(856\) 19.7682 4.20186i 0.675663 0.143617i
\(857\) −12.2561 27.5277i −0.418661 0.940328i −0.992600 0.121430i \(-0.961252\pi\)
0.573939 0.818898i \(-0.305415\pi\)
\(858\) 17.0758 + 3.26753i 0.582957 + 0.111552i
\(859\) 36.7520 3.86279i 1.25396 0.131797i 0.545842 0.837888i \(-0.316210\pi\)
0.708121 + 0.706091i \(0.249543\pi\)
\(860\) 1.67294 1.21546i 0.0570468 0.0414469i
\(861\) 19.8581 12.0109i 0.676762 0.409331i
\(862\) −10.1194 17.5274i −0.344670 0.596985i
\(863\) −5.92627 + 10.2646i −0.201733 + 0.349411i −0.949087 0.315015i \(-0.897991\pi\)
0.747354 + 0.664426i \(0.231324\pi\)
\(864\) 5.03067 + 1.30089i 0.171147 + 0.0442573i
\(865\) 8.03579 8.92465i 0.273225 0.303447i
\(866\) −10.2092 + 31.4207i −0.346923 + 1.06772i
\(867\) 5.56225 4.21695i 0.188904 0.143215i
\(868\) −12.1708 0.0919725i −0.413104 0.00312175i
\(869\) 39.1130i 1.32682i
\(870\) −3.40973 9.80953i −0.115601 0.332574i
\(871\) 12.0546 + 10.8540i 0.408454 + 0.367774i
\(872\) −7.76031 + 10.6811i −0.262797 + 0.361709i
\(873\) 23.1041 + 23.6473i 0.781955 + 0.800341i
\(874\) −34.0768 + 19.6742i −1.15266 + 0.665491i
\(875\) 2.17403 + 0.228500i 0.0734956 + 0.00772470i
\(876\) 2.98215 + 0.902233i 0.100758 + 0.0304836i
\(877\) −0.710708 6.76193i −0.0239989 0.228334i −0.999947 0.0103297i \(-0.996712\pi\)
0.975948 0.218005i \(-0.0699548\pi\)
\(878\) −0.136714 + 0.123097i −0.00461386 + 0.00415434i
\(879\) −8.81685 4.85370i −0.297385 0.163711i
\(880\) 0.767368 + 3.61018i 0.0258680 + 0.121699i
\(881\) 5.18548 + 1.10221i 0.174703 + 0.0371343i 0.294433 0.955672i \(-0.404869\pi\)
−0.119729 + 0.992807i \(0.538203\pi\)
\(882\) 5.12995 + 4.25379i 0.172734 + 0.143232i
\(883\) −11.4622 + 3.72430i −0.385735 + 0.125333i −0.495463 0.868629i \(-0.665002\pi\)
0.109729 + 0.993962i \(0.465002\pi\)
\(884\) −11.8612 + 3.85394i −0.398936 + 0.129622i
\(885\) −4.68073 + 1.09502i −0.157341 + 0.0368088i
\(886\) −17.3988 3.69823i −0.584525 0.124245i
\(887\) 8.10250 + 38.1193i 0.272055 + 1.27992i 0.875774 + 0.482722i \(0.160352\pi\)
−0.603719 + 0.797198i \(0.706315\pi\)
\(888\) 2.24834 4.08415i 0.0754492 0.137055i
\(889\) −23.9782 + 21.5901i −0.804203 + 0.724107i
\(890\) 0.343159 + 3.26494i 0.0115027 + 0.109441i
\(891\) −33.1073 + 2.70359i −1.10914 + 0.0905735i
\(892\) 2.71236 + 0.285081i 0.0908166 + 0.00954521i
\(893\) −67.7392 + 39.1093i −2.26681 + 1.30874i
\(894\) −3.10354 24.6810i −0.103798 0.825455i
\(895\) 11.1959 15.4099i 0.374238 0.515095i
\(896\) 1.62452 + 1.46272i 0.0542713 + 0.0488661i
\(897\) 24.3712 8.47126i 0.813730 0.282847i
\(898\) 11.6223i 0.387842i
\(899\) 30.5994 13.3476i 1.02055 0.445167i
\(900\) 0.810075 2.88856i 0.0270025 0.0962853i
\(901\) −4.02508 + 12.3879i −0.134095 + 0.412701i
\(902\) 15.1377 16.8121i 0.504029 0.559781i
\(903\) 0.159477 + 7.82788i 0.00530706 + 0.260495i
\(904\) 5.48833 9.50606i 0.182539 0.316167i
\(905\) 5.89665 + 10.2133i 0.196011 + 0.339501i
\(906\) 21.2256 + 35.0930i 0.705172 + 1.16589i
\(907\) 22.9450 16.6705i 0.761875 0.553535i −0.137610 0.990487i \(-0.543942\pi\)
0.899485 + 0.436952i \(0.143942\pi\)
\(908\) 23.2770 2.44651i 0.772475 0.0811904i
\(909\) 8.58200 + 17.3383i 0.284647 + 0.575073i
\(910\) −2.41807 5.43107i −0.0801581 0.180038i
\(911\) 10.2922 2.18767i 0.340995 0.0724807i −0.0342314 0.999414i \(-0.510898\pi\)
0.375226 + 0.926933i \(0.377565\pi\)
\(912\) 11.2614 5.29131i 0.372901 0.175213i
\(913\) 4.77860 + 2.12757i 0.158148 + 0.0704122i
\(914\) −5.46852 16.8304i −0.180883 0.556699i
\(915\) −21.8291 15.1902i −0.721647 0.502172i
\(916\) 2.73696 6.14731i 0.0904316 0.203113i
\(917\) −9.07005 + 42.6712i −0.299520 + 1.40913i
\(918\) 19.8701 13.1524i 0.655812 0.434095i
\(919\) −34.2566 + 15.2520i −1.13002 + 0.503118i −0.884624 0.466305i \(-0.845585\pi\)
−0.245397 + 0.969423i \(0.578918\pi\)
\(920\) 3.66514 + 4.07055i 0.120836 + 0.134202i
\(921\) −30.2633 32.2643i −0.997211 1.06314i
\(922\) −21.8334 30.0510i −0.719043 0.989678i
\(923\) −3.39898 + 32.3391i −0.111879 + 1.06445i
\(924\) −12.8795 5.42273i −0.423703 0.178395i
\(925\) −2.33106 1.34584i −0.0766447 0.0442508i
\(926\) −6.38766 4.64091i −0.209912 0.152510i
\(927\) −17.3343 27.3840i −0.569334 0.899407i
\(928\) −5.70246 1.85284i −0.187192 0.0608225i
\(929\) −55.3918 −1.81734 −0.908672 0.417510i \(-0.862903\pi\)
−0.908672 + 0.417510i \(0.862903\pi\)
\(930\) 9.45783 + 1.88400i 0.310134 + 0.0617787i
\(931\) 15.9578 0.522995
\(932\) −0.931250 0.302581i −0.0305041 0.00991138i
\(933\) 17.6174 + 1.48955i 0.576767 + 0.0487658i
\(934\) 28.8659 + 20.9723i 0.944520 + 0.686234i
\(935\) 14.6580 + 8.46279i 0.479367 + 0.276763i
\(936\) −7.90478 + 2.01994i −0.258376 + 0.0660237i
\(937\) 2.33085 22.1766i 0.0761457 0.724478i −0.888133 0.459587i \(-0.847997\pi\)
0.964278 0.264891i \(-0.0853359\pi\)
\(938\) −7.66381 10.5483i −0.250232 0.344415i
\(939\) 28.8973 27.1052i 0.943028 0.884544i
\(940\) 7.28572 + 8.09161i 0.237634 + 0.263919i
\(941\) 13.4969 6.00921i 0.439986 0.195895i −0.174774 0.984609i \(-0.555919\pi\)
0.614760 + 0.788714i \(0.289253\pi\)
\(942\) −13.5842 11.7392i −0.442598 0.382484i
\(943\) 6.98044 32.8404i 0.227314 1.06943i
\(944\) −1.12885 + 2.53544i −0.0367410 + 0.0825216i
\(945\) 7.22530 + 8.76456i 0.235039 + 0.285111i
\(946\) 2.35846 + 7.25861i 0.0766803 + 0.235998i
\(947\) −39.9597 17.7912i −1.29852 0.578137i −0.363122 0.931742i \(-0.618289\pi\)
−0.935395 + 0.353605i \(0.884956\pi\)
\(948\) −7.80569 16.6127i −0.253517 0.539555i
\(949\) −4.78516 + 1.01712i −0.155333 + 0.0330170i
\(950\) −2.92187 6.56264i −0.0947981 0.212920i
\(951\) −4.46536 + 23.3355i −0.144799 + 0.756705i
\(952\) 9.96975 1.04786i 0.323122 0.0339614i
\(953\) 10.2091 7.41738i 0.330707 0.240272i −0.410024 0.912075i \(-0.634480\pi\)
0.740730 + 0.671802i \(0.234480\pi\)
\(954\) −3.14590 + 7.91908i −0.101852 + 0.256390i
\(955\) 5.26564 + 9.12036i 0.170392 + 0.295128i
\(956\) −6.33901 + 10.9795i −0.205018 + 0.355102i
\(957\) 38.3222 0.780736i 1.23878 0.0252376i
\(958\) 14.3354 15.9211i 0.463156 0.514387i
\(959\) −3.75355 + 11.5522i −0.121209 + 0.373041i
\(960\) −1.04640 1.38023i −0.0337726 0.0445468i
\(961\) −3.70594 + 30.7777i −0.119546 + 0.992829i
\(962\) 7.32026i 0.236015i
\(963\) 33.6098 50.4611i 1.08306 1.62609i
\(964\) −3.13262 2.82062i −0.100895 0.0908461i
\(965\) −8.43944 + 11.6159i −0.271675 + 0.373929i
\(966\) −20.5771 + 2.58750i −0.662058 + 0.0832515i
\(967\) 36.3692 20.9978i 1.16956 0.675243i 0.215980 0.976398i \(-0.430705\pi\)
0.953575 + 0.301154i \(0.0973719\pi\)
\(968\) −2.60789 0.274101i −0.0838209 0.00880993i
\(969\) 16.5233 54.6147i 0.530806 1.75448i
\(970\) −1.15192 10.9598i −0.0369859 0.351898i
\(971\) 21.1277 19.0235i 0.678021 0.610493i −0.256439 0.966560i \(-0.582549\pi\)
0.934460 + 0.356068i \(0.115883\pi\)
\(972\) 13.5223 7.75546i 0.433728 0.248757i
\(973\) 2.39694 + 11.2767i 0.0768424 + 0.361515i
\(974\) −33.6456 7.15159i −1.07807 0.229152i
\(975\) 1.07301 + 4.58663i 0.0343638 + 0.146890i
\(976\) −14.6027 + 4.74470i −0.467420 + 0.151874i
\(977\) −3.23480 + 1.05105i −0.103491 + 0.0336261i −0.360305 0.932835i \(-0.617327\pi\)
0.256814 + 0.966461i \(0.417327\pi\)
\(978\) 3.51258 + 15.0147i 0.112320 + 0.480118i
\(979\) −11.8519 2.51921i −0.378790 0.0805142i
\(980\) −0.461852 2.17284i −0.0147533 0.0694090i
\(981\) 5.74106 + 39.1896i 0.183298 + 1.25123i
\(982\) 2.49274 2.24447i 0.0795464 0.0716239i
\(983\) 1.07992 + 10.2747i 0.0344440 + 0.327713i 0.998153 + 0.0607565i \(0.0193513\pi\)
−0.963709 + 0.266956i \(0.913982\pi\)
\(984\) −3.07436 + 10.1617i −0.0980070 + 0.323943i
\(985\) 13.9210 + 1.46316i 0.443560 + 0.0466201i
\(986\) −23.8125 + 13.7482i −0.758345 + 0.437831i
\(987\) −40.9041 + 5.14354i −1.30199 + 0.163721i
\(988\) −11.4834 + 15.8056i −0.365336 + 0.502842i
\(989\) 8.41736 + 7.57903i 0.267657 + 0.240999i
\(990\) 9.21548 + 6.13801i 0.292887 + 0.195079i
\(991\) 22.5140i 0.715181i 0.933878 + 0.357591i \(0.116402\pi\)
−0.933878 + 0.357591i \(0.883598\pi\)
\(992\) 4.16569 3.69419i 0.132261 0.117291i
\(993\) 16.3539 + 21.5711i 0.518975 + 0.684540i
\(994\) 8.07686 24.8580i 0.256183 0.788449i
\(995\) 7.47807 8.30524i 0.237071 0.263294i
\(996\) −2.45424 + 0.0500000i −0.0777654 + 0.00158431i
\(997\) 10.5595 18.2896i 0.334424 0.579239i −0.648950 0.760831i \(-0.724792\pi\)
0.983374 + 0.181592i \(0.0581250\pi\)
\(998\) 12.4415 + 21.5493i 0.393828 + 0.682130i
\(999\) −3.73801 13.4776i −0.118265 0.426412i
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 930.2.br.b.761.7 yes 176
3.2 odd 2 inner 930.2.br.b.761.13 yes 176
31.11 odd 30 inner 930.2.br.b.11.13 yes 176
93.11 even 30 inner 930.2.br.b.11.7 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
930.2.br.b.11.7 176 93.11 even 30 inner
930.2.br.b.11.13 yes 176 31.11 odd 30 inner
930.2.br.b.761.7 yes 176 1.1 even 1 trivial
930.2.br.b.761.13 yes 176 3.2 odd 2 inner