Properties

Label 845.2.v.a.389.48
Level $845$
Weight $2$
Character 845.389
Analytic conductor $6.747$
Analytic rank $0$
Dimension $1056$
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] = [845,2,Mod(64,845)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(845, base_ring=CyclotomicField(26))
 
chi = DirichletCharacter(H, H._module([13, 1]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("845.64");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 845 = 5 \cdot 13^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 845.v (of order \(26\), degree \(12\), 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: \(6.74735897080\)
Analytic rank: \(0\)
Dimension: \(1056\)
Relative dimension: \(88\) over \(\Q(\zeta_{26})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{26}]$

Embedding invariants

Embedding label 389.48
Character \(\chi\) \(=\) 845.389
Dual form 845.2.v.a.454.48

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.169128 + 0.149834i) q^{2} +(2.09149 + 0.793199i) q^{3} +(-0.234919 - 1.93474i) q^{4} +(2.08443 - 0.809418i) q^{5} +(0.234882 + 0.447530i) q^{6} +(0.535295 - 0.775509i) q^{7} +(0.506870 - 0.734328i) q^{8} +(1.49965 + 1.32857i) q^{9} +O(q^{10})\) \(q+(0.169128 + 0.149834i) q^{2} +(2.09149 + 0.793199i) q^{3} +(-0.234919 - 1.93474i) q^{4} +(2.08443 - 0.809418i) q^{5} +(0.234882 + 0.447530i) q^{6} +(0.535295 - 0.775509i) q^{7} +(0.506870 - 0.734328i) q^{8} +(1.49965 + 1.32857i) q^{9} +(0.473814 + 0.175424i) q^{10} +(-2.23446 - 2.52218i) q^{11} +(1.04330 - 4.23282i) q^{12} +(2.65937 + 2.43469i) q^{13} +(0.206731 - 0.0509547i) q^{14} +(5.00160 - 0.0395271i) q^{15} +(-3.58887 + 0.884577i) q^{16} +(-0.0926202 - 0.0639311i) q^{17} +(0.0545667 + 0.449397i) q^{18} -1.61194i q^{19} +(-2.05568 - 3.84267i) q^{20} +(1.73470 - 1.19738i) q^{21} -0.761370i q^{22} +6.69963i q^{23} +(1.64258 - 1.13379i) q^{24} +(3.68968 - 3.37435i) q^{25} +(0.0849736 + 0.810240i) q^{26} +(-1.03587 - 1.97369i) q^{27} +(-1.62616 - 0.853473i) q^{28} +(-1.38670 - 1.22851i) q^{29} +(0.851833 + 0.742726i) q^{30} +(0.494383 + 0.941969i) q^{31} +(-2.31966 - 1.21745i) q^{32} +(-2.67276 - 7.04750i) q^{33} +(-0.00608559 - 0.0246902i) q^{34} +(0.488073 - 2.04977i) q^{35} +(2.21814 - 3.21353i) q^{36} +(-2.21554 + 1.16280i) q^{37} +(0.241524 - 0.272625i) q^{38} +(3.63086 + 7.20156i) q^{39} +(0.462155 - 1.94092i) q^{40} +(6.62428 + 2.51226i) q^{41} +(0.472794 + 0.0574076i) q^{42} +(-0.738041 + 1.40622i) q^{43} +(-4.35484 + 4.91560i) q^{44} +(4.20128 + 1.55547i) q^{45} +(-1.00383 + 1.13309i) q^{46} +(-0.129838 + 1.06931i) q^{47} +(-8.20775 - 0.996601i) q^{48} +(2.16736 + 5.71486i) q^{49} +(1.12962 - 0.0178557i) q^{50} +(-0.143004 - 0.207178i) q^{51} +(4.08575 - 5.71714i) q^{52} +(-5.34383 - 3.68858i) q^{53} +(0.120531 - 0.489015i) q^{54} +(-6.69907 - 3.44870i) q^{55} +(-0.298153 - 0.786164i) q^{56} +(1.27859 - 3.37137i) q^{57} +(-0.0504570 - 0.415551i) q^{58} +(0.474044 - 1.92327i) q^{59} +(-1.25145 - 9.66748i) q^{60} +(-2.74463 - 3.97628i) q^{61} +(-0.0575252 + 0.233389i) q^{62} +(1.83307 - 0.451812i) q^{63} +(2.41153 + 6.35869i) q^{64} +(7.51396 + 2.92240i) q^{65} +(0.603918 - 1.59240i) q^{66} +(-0.611288 + 5.03441i) q^{67} +(-0.101932 + 0.194214i) q^{68} +(-5.31414 + 14.0122i) q^{69} +(0.389673 - 0.273544i) q^{70} +(3.81722 + 1.44768i) q^{71} +(1.73573 - 0.427820i) q^{72} +(-0.354421 + 0.313990i) q^{73} +(-0.548937 - 0.135301i) q^{74} +(10.3935 - 4.13078i) q^{75} +(-3.11868 + 0.378677i) q^{76} +(-3.15207 + 0.382731i) q^{77} +(-0.464960 + 1.76201i) q^{78} +(-1.58603 + 13.0622i) q^{79} +(-6.76475 + 4.74874i) q^{80} +(-1.32548 - 10.9163i) q^{81} +(0.743928 + 1.41744i) q^{82} +(2.87915 + 7.59170i) q^{83} +(-2.72412 - 3.07490i) q^{84} +(-0.244807 - 0.0582913i) q^{85} +(-0.335523 + 0.127247i) q^{86} +(-1.92582 - 3.66935i) q^{87} +(-2.98469 + 0.362407i) q^{88} -2.65378i q^{89} +(0.477491 + 0.892569i) q^{90} +(3.31168 - 0.759088i) q^{91} +(12.9620 - 1.57387i) q^{92} +(0.286831 + 2.36227i) q^{93} +(-0.182179 + 0.161396i) q^{94} +(-1.30474 - 3.35998i) q^{95} +(-3.88587 - 4.38624i) q^{96} +(12.0476 - 2.96948i) q^{97} +(-0.489721 + 1.29129i) q^{98} -6.75102i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1056 q - 106 q^{4} - 13 q^{5} - 26 q^{6} + 62 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 1056 q - 106 q^{4} - 13 q^{5} - 26 q^{6} + 62 q^{9} - 13 q^{10} - 26 q^{11} - 26 q^{14} - 65 q^{15} - 98 q^{16} - 13 q^{20} - 26 q^{21} - 26 q^{24} - 3 q^{25} - 14 q^{26} - 54 q^{29} - 45 q^{30} + 26 q^{31} - 26 q^{34} - 17 q^{35} + 54 q^{36} - 146 q^{39} + 120 q^{40} - 26 q^{41} + 26 q^{44} - 78 q^{45} + 26 q^{46} - 164 q^{49} - 13 q^{50} - 164 q^{51} - 26 q^{54} - 119 q^{55} - 26 q^{56} - 130 q^{59} - 117 q^{60} - 54 q^{61} - 122 q^{64} - q^{65} + 140 q^{66} + 88 q^{69} - 26 q^{71} - 176 q^{74} - 65 q^{75} + 156 q^{76} - 26 q^{79} - 58 q^{81} + 468 q^{84} + 143 q^{85} + 130 q^{86} - 19 q^{90} - 26 q^{91} - 142 q^{94} + 70 q^{95} - 26 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/845\mathbb{Z}\right)^\times\).

\(n\) \(171\) \(677\)
\(\chi(n)\) \(e\left(\frac{19}{26}\right)\) \(-1\)

Coefficient data

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



Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.169128 + 0.149834i 0.119592 + 0.105949i 0.720799 0.693144i \(-0.243775\pi\)
−0.601208 + 0.799093i \(0.705314\pi\)
\(3\) 2.09149 + 0.793199i 1.20752 + 0.457953i 0.874528 0.484975i \(-0.161171\pi\)
0.332996 + 0.942928i \(0.391940\pi\)
\(4\) −0.234919 1.93474i −0.117460 0.967368i
\(5\) 2.08443 0.809418i 0.932185 0.361983i
\(6\) 0.234882 + 0.447530i 0.0958900 + 0.182703i
\(7\) 0.535295 0.775509i 0.202323 0.293115i −0.708668 0.705542i \(-0.750704\pi\)
0.910991 + 0.412427i \(0.135319\pi\)
\(8\) 0.506870 0.734328i 0.179206 0.259624i
\(9\) 1.49965 + 1.32857i 0.499882 + 0.442857i
\(10\) 0.473814 + 0.175424i 0.149833 + 0.0554738i
\(11\) −2.23446 2.52218i −0.673715 0.760467i 0.307884 0.951424i \(-0.400379\pi\)
−0.981598 + 0.190957i \(0.938841\pi\)
\(12\) 1.04330 4.23282i 0.301174 1.22191i
\(13\) 2.65937 + 2.43469i 0.737577 + 0.675263i
\(14\) 0.206731 0.0509547i 0.0552513 0.0136182i
\(15\) 5.00160 0.0395271i 1.29141 0.0102059i
\(16\) −3.58887 + 0.884577i −0.897218 + 0.221144i
\(17\) −0.0926202 0.0639311i −0.0224637 0.0155056i 0.556780 0.830660i \(-0.312037\pi\)
−0.579244 + 0.815154i \(0.696652\pi\)
\(18\) 0.0545667 + 0.449397i 0.0128615 + 0.105924i
\(19\) 1.61194i 0.369805i −0.982757 0.184902i \(-0.940803\pi\)
0.982757 0.184902i \(-0.0591969\pi\)
\(20\) −2.05568 3.84267i −0.459665 0.859247i
\(21\) 1.73470 1.19738i 0.378543 0.261289i
\(22\) 0.761370i 0.162325i
\(23\) 6.69963i 1.39697i 0.715625 + 0.698485i \(0.246142\pi\)
−0.715625 + 0.698485i \(0.753858\pi\)
\(24\) 1.64258 1.13379i 0.335291 0.231434i
\(25\) 3.68968 3.37435i 0.737937 0.674870i
\(26\) 0.0849736 + 0.810240i 0.0166647 + 0.158901i
\(27\) −1.03587 1.97369i −0.199353 0.379836i
\(28\) −1.62616 0.853473i −0.307315 0.161291i
\(29\) −1.38670 1.22851i −0.257504 0.228129i 0.524487 0.851419i \(-0.324257\pi\)
−0.781991 + 0.623290i \(0.785796\pi\)
\(30\) 0.851833 + 0.742726i 0.155523 + 0.135603i
\(31\) 0.494383 + 0.941969i 0.0887939 + 0.169183i 0.925803 0.378006i \(-0.123390\pi\)
−0.837009 + 0.547189i \(0.815698\pi\)
\(32\) −2.31966 1.21745i −0.410062 0.215217i
\(33\) −2.67276 7.04750i −0.465268 1.22681i
\(34\) −0.00608559 0.0246902i −0.00104367 0.00423434i
\(35\) 0.488073 2.04977i 0.0824995 0.346475i
\(36\) 2.21814 3.21353i 0.369690 0.535588i
\(37\) −2.21554 + 1.16280i −0.364232 + 0.191164i −0.636904 0.770943i \(-0.719785\pi\)
0.272671 + 0.962107i \(0.412093\pi\)
\(38\) 0.241524 0.272625i 0.0391804 0.0442255i
\(39\) 3.63086 + 7.20156i 0.581403 + 1.15317i
\(40\) 0.462155 1.94092i 0.0730732 0.306887i
\(41\) 6.62428 + 2.51226i 1.03454 + 0.392349i 0.812668 0.582727i \(-0.198014\pi\)
0.221871 + 0.975076i \(0.428784\pi\)
\(42\) 0.472794 + 0.0574076i 0.0729538 + 0.00885819i
\(43\) −0.738041 + 1.40622i −0.112550 + 0.214446i −0.935215 0.354080i \(-0.884794\pi\)
0.822665 + 0.568526i \(0.192486\pi\)
\(44\) −4.35484 + 4.91560i −0.656517 + 0.741054i
\(45\) 4.20128 + 1.55547i 0.626289 + 0.231876i
\(46\) −1.00383 + 1.13309i −0.148007 + 0.167066i
\(47\) −0.129838 + 1.06931i −0.0189388 + 0.155975i −0.999110 0.0421767i \(-0.986571\pi\)
0.980171 + 0.198152i \(0.0634938\pi\)
\(48\) −8.20775 0.996601i −1.18469 0.143847i
\(49\) 2.16736 + 5.71486i 0.309623 + 0.816409i
\(50\) 1.12962 0.0178557i 0.159753 0.00252518i
\(51\) −0.143004 0.207178i −0.0200246 0.0290107i
\(52\) 4.08575 5.71714i 0.566592 0.792825i
\(53\) −5.34383 3.68858i −0.734031 0.506665i 0.141433 0.989948i \(-0.454829\pi\)
−0.875464 + 0.483283i \(0.839444\pi\)
\(54\) 0.120531 0.489015i 0.0164022 0.0665465i
\(55\) −6.69907 3.44870i −0.903302 0.465022i
\(56\) −0.298153 0.786164i −0.0398423 0.105056i
\(57\) 1.27859 3.37137i 0.169353 0.446548i
\(58\) −0.0504570 0.415551i −0.00662533 0.0545645i
\(59\) 0.474044 1.92327i 0.0617153 0.250389i −0.931979 0.362512i \(-0.881919\pi\)
0.993694 + 0.112123i \(0.0357652\pi\)
\(60\) −1.25145 9.66748i −0.161561 1.24807i
\(61\) −2.74463 3.97628i −0.351414 0.509111i 0.606920 0.794763i \(-0.292405\pi\)
−0.958333 + 0.285653i \(0.907790\pi\)
\(62\) −0.0575252 + 0.233389i −0.00730571 + 0.0296404i
\(63\) 1.83307 0.451812i 0.230946 0.0569230i
\(64\) 2.41153 + 6.35869i 0.301442 + 0.794837i
\(65\) 7.51396 + 2.92240i 0.931992 + 0.362479i
\(66\) 0.603918 1.59240i 0.0743371 0.196011i
\(67\) −0.611288 + 5.03441i −0.0746807 + 0.615051i 0.906534 + 0.422133i \(0.138718\pi\)
−0.981215 + 0.192919i \(0.938205\pi\)
\(68\) −0.101932 + 0.194214i −0.0123610 + 0.0235519i
\(69\) −5.31414 + 14.0122i −0.639747 + 1.68687i
\(70\) 0.389673 0.273544i 0.0465748 0.0326947i
\(71\) 3.81722 + 1.44768i 0.453021 + 0.171808i 0.570553 0.821261i \(-0.306729\pi\)
−0.117532 + 0.993069i \(0.537498\pi\)
\(72\) 1.73573 0.427820i 0.204558 0.0504190i
\(73\) −0.354421 + 0.313990i −0.0414819 + 0.0367497i −0.683609 0.729848i \(-0.739591\pi\)
0.642127 + 0.766598i \(0.278052\pi\)
\(74\) −0.548937 0.135301i −0.0638127 0.0157284i
\(75\) 10.3935 4.13078i 1.20014 0.476981i
\(76\) −3.11868 + 0.378677i −0.357737 + 0.0434372i
\(77\) −3.15207 + 0.382731i −0.359212 + 0.0436162i
\(78\) −0.464960 + 1.76201i −0.0526463 + 0.199509i
\(79\) −1.58603 + 13.0622i −0.178443 + 1.46961i 0.578261 + 0.815851i \(0.303731\pi\)
−0.756704 + 0.653757i \(0.773192\pi\)
\(80\) −6.76475 + 4.74874i −0.756322 + 0.530925i
\(81\) −1.32548 10.9163i −0.147275 1.21292i
\(82\) 0.743928 + 1.41744i 0.0821531 + 0.156530i
\(83\) 2.87915 + 7.59170i 0.316028 + 0.833297i 0.995068 + 0.0991959i \(0.0316271\pi\)
−0.679040 + 0.734101i \(0.737604\pi\)
\(84\) −2.72412 3.07490i −0.297226 0.335499i
\(85\) −0.244807 0.0582913i −0.0265531 0.00632258i
\(86\) −0.335523 + 0.127247i −0.0361804 + 0.0137214i
\(87\) −1.92582 3.66935i −0.206470 0.393396i
\(88\) −2.98469 + 0.362407i −0.318169 + 0.0386327i
\(89\) 2.65378i 0.281300i −0.990059 0.140650i \(-0.955081\pi\)
0.990059 0.140650i \(-0.0449193\pi\)
\(90\) 0.477491 + 0.892569i 0.0503319 + 0.0940850i
\(91\) 3.31168 0.759088i 0.347158 0.0795740i
\(92\) 12.9620 1.57387i 1.35138 0.164088i
\(93\) 0.286831 + 2.36227i 0.0297430 + 0.244956i
\(94\) −0.182179 + 0.161396i −0.0187903 + 0.0166467i
\(95\) −1.30474 3.35998i −0.133863 0.344726i
\(96\) −3.88587 4.38624i −0.396600 0.447669i
\(97\) 12.0476 2.96948i 1.22325 0.301505i 0.425761 0.904836i \(-0.360006\pi\)
0.797491 + 0.603331i \(0.206160\pi\)
\(98\) −0.489721 + 1.29129i −0.0494693 + 0.130440i
\(99\) 6.75102i 0.678503i
\(100\) −7.39525 6.34586i −0.739525 0.634586i
\(101\) −0.637510 0.334591i −0.0634346 0.0332931i 0.432708 0.901534i \(-0.357558\pi\)
−0.496142 + 0.868241i \(0.665251\pi\)
\(102\) 0.00685628 0.0564665i 0.000678873 0.00559102i
\(103\) 15.3905 + 5.83686i 1.51648 + 0.575123i 0.965730 0.259550i \(-0.0835741\pi\)
0.550746 + 0.834673i \(0.314343\pi\)
\(104\) 3.13582 0.718778i 0.307492 0.0704820i
\(105\) 2.64668 3.89994i 0.258289 0.380596i
\(106\) −0.351115 1.42453i −0.0341033 0.138363i
\(107\) −1.63472 + 6.63233i −0.158035 + 0.641172i 0.837472 + 0.546480i \(0.184033\pi\)
−0.995507 + 0.0946915i \(0.969814\pi\)
\(108\) −3.57522 + 2.46779i −0.344025 + 0.237463i
\(109\) −7.78880 + 14.8403i −0.746032 + 1.42145i 0.155099 + 0.987899i \(0.450430\pi\)
−0.901131 + 0.433547i \(0.857262\pi\)
\(110\) −0.616267 1.58702i −0.0587588 0.151317i
\(111\) −5.55612 + 0.674635i −0.527363 + 0.0640335i
\(112\) −1.23511 + 3.25671i −0.116707 + 0.307731i
\(113\) 4.52853 1.71744i 0.426008 0.161564i −0.132277 0.991213i \(-0.542229\pi\)
0.558285 + 0.829649i \(0.311460\pi\)
\(114\) 0.721392 0.378616i 0.0675645 0.0354606i
\(115\) 5.42280 + 13.9649i 0.505679 + 1.30223i
\(116\) −2.05108 + 2.97150i −0.190438 + 0.275897i
\(117\) 0.753455 + 7.18435i 0.0696570 + 0.664193i
\(118\) 0.368346 0.254251i 0.0339090 0.0234057i
\(119\) −0.0991584 + 0.0376058i −0.00908983 + 0.00344732i
\(120\) 2.50613 3.69285i 0.228778 0.337109i
\(121\) −0.0426952 + 0.351627i −0.00388138 + 0.0319661i
\(122\) 0.131590 1.08374i 0.0119136 0.0981172i
\(123\) 11.8619 + 10.5087i 1.06955 + 0.947541i
\(124\) 1.70632 1.17779i 0.153232 0.105768i
\(125\) 4.95962 10.0201i 0.443602 0.896224i
\(126\) 0.377721 + 0.198243i 0.0336501 + 0.0176609i
\(127\) −5.66134 0.687411i −0.502362 0.0609978i −0.134567 0.990905i \(-0.542964\pi\)
−0.367796 + 0.929907i \(0.619887\pi\)
\(128\) −2.40283 + 6.33575i −0.212382 + 0.560006i
\(129\) −2.65902 + 2.35568i −0.234113 + 0.207406i
\(130\) 0.832945 + 1.62011i 0.0730541 + 0.142093i
\(131\) −10.3931 9.20750i −0.908051 0.804463i 0.0731758 0.997319i \(-0.476687\pi\)
−0.981227 + 0.192856i \(0.938225\pi\)
\(132\) −13.0072 + 6.82668i −1.13213 + 0.594186i
\(133\) −1.25008 0.862865i −0.108395 0.0748199i
\(134\) −0.857713 + 0.759868i −0.0740952 + 0.0656426i
\(135\) −3.75674 3.27556i −0.323328 0.281915i
\(136\) −0.0938928 + 0.0356088i −0.00805124 + 0.00305343i
\(137\) −2.06286 1.08267i −0.176242 0.0924987i 0.374295 0.927310i \(-0.377885\pi\)
−0.550537 + 0.834811i \(0.685577\pi\)
\(138\) −2.99828 + 1.57362i −0.255231 + 0.133955i
\(139\) −13.4934 + 3.32583i −1.14450 + 0.282093i −0.765582 0.643338i \(-0.777549\pi\)
−0.378915 + 0.925432i \(0.623703\pi\)
\(140\) −4.08042 0.462762i −0.344859 0.0391105i
\(141\) −1.11973 + 2.13347i −0.0942983 + 0.179670i
\(142\) 0.428687 + 0.816794i 0.0359746 + 0.0685439i
\(143\) 0.198485 12.1476i 0.0165981 1.01584i
\(144\) −6.55727 3.44152i −0.546439 0.286793i
\(145\) −3.88486 1.43832i −0.322620 0.119446i
\(146\) −0.106989 −0.00885447
\(147\) 13.6717i 1.12763i
\(148\) 2.77019 + 4.01332i 0.227708 + 0.329892i
\(149\) 1.21289 + 0.147271i 0.0993635 + 0.0120649i 0.170067 0.985432i \(-0.445601\pi\)
−0.0707039 + 0.997497i \(0.522525\pi\)
\(150\) 2.37676 + 0.858670i 0.194062 + 0.0701101i
\(151\) 14.4208 1.75100i 1.17355 0.142495i 0.489548 0.871976i \(-0.337162\pi\)
0.684000 + 0.729482i \(0.260239\pi\)
\(152\) −1.18369 0.817045i −0.0960102 0.0662711i
\(153\) −0.0539606 0.218927i −0.00436245 0.0176992i
\(154\) −0.590450 0.407558i −0.0475798 0.0328420i
\(155\) 1.79295 + 1.56330i 0.144014 + 0.125568i
\(156\) 13.0801 8.71655i 1.04725 0.697882i
\(157\) 4.43468 17.9922i 0.353926 1.43593i −0.476682 0.879076i \(-0.658161\pi\)
0.830608 0.556858i \(-0.187993\pi\)
\(158\) −2.22540 + 1.97154i −0.177044 + 0.156847i
\(159\) −8.25080 11.9534i −0.654331 0.947962i
\(160\) −5.82059 0.660114i −0.460158 0.0521866i
\(161\) 5.19562 + 3.58628i 0.409473 + 0.282639i
\(162\) 1.41146 2.04485i 0.110895 0.160659i
\(163\) −16.6994 + 8.76452i −1.30800 + 0.686490i −0.967289 0.253679i \(-0.918359\pi\)
−0.340709 + 0.940169i \(0.610667\pi\)
\(164\) 3.30438 13.4064i 0.258029 1.04686i
\(165\) −11.2756 12.5266i −0.877801 0.975196i
\(166\) −0.650552 + 1.71536i −0.0504926 + 0.133138i
\(167\) −3.51141 3.11084i −0.271721 0.240724i 0.516247 0.856439i \(-0.327328\pi\)
−0.787968 + 0.615716i \(0.788867\pi\)
\(168\) 1.88075i 0.145103i
\(169\) 1.14453 + 12.9495i 0.0880405 + 0.996117i
\(170\) −0.0326697 0.0465392i −0.00250565 0.00356940i
\(171\) 2.14158 2.41734i 0.163771 0.184859i
\(172\) 2.89404 + 1.09757i 0.220669 + 0.0836886i
\(173\) −12.4922 + 1.51683i −0.949764 + 0.115322i −0.580732 0.814095i \(-0.697234\pi\)
−0.369031 + 0.929417i \(0.620311\pi\)
\(174\) 0.224084 0.909145i 0.0169878 0.0689221i
\(175\) −0.641769 4.66766i −0.0485132 0.352842i
\(176\) 10.2503 + 7.07524i 0.772642 + 0.533316i
\(177\) 2.51700 3.64650i 0.189189 0.274088i
\(178\) 0.397628 0.448829i 0.0298035 0.0336411i
\(179\) −11.4250 16.5519i −0.853943 1.23715i −0.969804 0.243884i \(-0.921578\pi\)
0.115862 0.993265i \(-0.463037\pi\)
\(180\) 2.02246 8.49377i 0.150745 0.633088i
\(181\) 0.156504 + 0.0385749i 0.0116329 + 0.00286725i 0.245128 0.969491i \(-0.421170\pi\)
−0.233495 + 0.972358i \(0.575016\pi\)
\(182\) 0.673835 + 0.367820i 0.0499480 + 0.0272646i
\(183\) −2.58639 10.4934i −0.191192 0.775695i
\(184\) 4.91972 + 3.39584i 0.362687 + 0.250345i
\(185\) −3.67694 + 4.21708i −0.270334 + 0.310046i
\(186\) −0.305437 + 0.442502i −0.0223958 + 0.0324458i
\(187\) 0.0457101 + 0.376457i 0.00334265 + 0.0275292i
\(188\) 2.09933 0.153110
\(189\) −2.08511 0.253178i −0.151669 0.0184160i
\(190\) 0.282773 0.763760i 0.0205145 0.0554090i
\(191\) −14.5128 −1.05011 −0.525053 0.851070i \(-0.675955\pi\)
−0.525053 + 0.851070i \(0.675955\pi\)
\(192\) 15.2120i 1.09783i
\(193\) 4.77941 + 6.92418i 0.344030 + 0.498413i 0.956361 0.292188i \(-0.0943834\pi\)
−0.612331 + 0.790601i \(0.709768\pi\)
\(194\) 2.48252 + 1.30293i 0.178235 + 0.0935448i
\(195\) 13.3973 + 12.0722i 0.959404 + 0.864511i
\(196\) 10.5476 5.53580i 0.753399 0.395414i
\(197\) −5.81120 3.04995i −0.414031 0.217300i 0.244828 0.969566i \(-0.421268\pi\)
−0.658859 + 0.752266i \(0.728961\pi\)
\(198\) 1.01153 1.14179i 0.0718866 0.0811432i
\(199\) −20.7567 + 5.11606i −1.47140 + 0.362668i −0.891874 0.452285i \(-0.850609\pi\)
−0.579528 + 0.814952i \(0.696763\pi\)
\(200\) −0.607689 4.41979i −0.0429701 0.312526i
\(201\) −5.27179 + 10.0446i −0.371844 + 0.708489i
\(202\) −0.0576876 0.152110i −0.00405888 0.0107024i
\(203\) −1.69502 + 0.417784i −0.118967 + 0.0293227i
\(204\) −0.367240 + 0.325346i −0.0257119 + 0.0227788i
\(205\) 15.8413 0.125192i 1.10640 0.00874380i
\(206\) 1.72841 + 3.29321i 0.120424 + 0.229449i
\(207\) −8.90094 + 10.0471i −0.618658 + 0.698320i
\(208\) −11.6978 6.38538i −0.811098 0.442747i
\(209\) −4.06561 + 3.60182i −0.281224 + 0.249143i
\(210\) 1.03197 0.263026i 0.0712129 0.0181505i
\(211\) 1.06765 8.79286i 0.0734998 0.605325i −0.908695 0.417460i \(-0.862920\pi\)
0.982195 0.187865i \(-0.0601567\pi\)
\(212\) −5.88105 + 11.2054i −0.403912 + 0.769591i
\(213\) 6.83540 + 6.05563i 0.468354 + 0.414925i
\(214\) −1.27023 + 0.876775i −0.0868310 + 0.0599351i
\(215\) −0.400173 + 3.52855i −0.0272916 + 0.240645i
\(216\) −1.97438 0.239734i −0.134340 0.0163118i
\(217\) 0.995147 + 0.120833i 0.0675550 + 0.00820266i
\(218\) −3.54089 + 1.34288i −0.239820 + 0.0909516i
\(219\) −0.990326 + 0.375581i −0.0669200 + 0.0253794i
\(220\) −5.09857 + 13.7711i −0.343746 + 0.928447i
\(221\) −0.0906590 0.395519i −0.00609838 0.0266055i
\(222\) −1.04078 0.718397i −0.0698525 0.0482157i
\(223\) 7.28032 + 1.79444i 0.487526 + 0.120164i 0.475414 0.879762i \(-0.342298\pi\)
0.0121124 + 0.999927i \(0.496144\pi\)
\(224\) −2.18585 + 1.14722i −0.146048 + 0.0766519i
\(225\) 10.0163 0.158325i 0.667753 0.0105550i
\(226\) 1.02323 + 0.388061i 0.0680644 + 0.0258134i
\(227\) −1.73967 14.3275i −0.115466 0.950950i −0.929165 0.369664i \(-0.879473\pi\)
0.813699 0.581286i \(-0.197450\pi\)
\(228\) −6.82307 1.68173i −0.451869 0.111376i
\(229\) 3.95549 7.53655i 0.261386 0.498029i −0.719027 0.694982i \(-0.755412\pi\)
0.980413 + 0.196953i \(0.0631046\pi\)
\(230\) −1.17527 + 3.17438i −0.0774952 + 0.209312i
\(231\) −6.89612 1.69974i −0.453731 0.111835i
\(232\) −1.60501 + 0.395599i −0.105374 + 0.0259723i
\(233\) 2.52212 0.956513i 0.165229 0.0626633i −0.270603 0.962691i \(-0.587223\pi\)
0.435833 + 0.900028i \(0.356454\pi\)
\(234\) −0.949032 + 1.32797i −0.0620401 + 0.0868120i
\(235\) 0.594882 + 2.33399i 0.0388058 + 0.152253i
\(236\) −3.83239 0.465336i −0.249467 0.0302908i
\(237\) −13.6781 + 26.0614i −0.888486 + 1.69287i
\(238\) −0.0224051 0.00849713i −0.00145231 0.000550787i
\(239\) 8.08742i 0.523132i −0.965186 0.261566i \(-0.915761\pi\)
0.965186 0.261566i \(-0.0842389\pi\)
\(240\) −17.9151 + 4.56616i −1.15642 + 0.294744i
\(241\) 5.43222 + 22.0394i 0.349920 + 1.41968i 0.837421 + 0.546559i \(0.184062\pi\)
−0.487501 + 0.873122i \(0.662091\pi\)
\(242\) −0.0599067 + 0.0530727i −0.00385095 + 0.00341164i
\(243\) 4.28626 17.3900i 0.274964 1.11557i
\(244\) −7.04829 + 6.24424i −0.451220 + 0.399746i
\(245\) 9.14342 + 10.1579i 0.584152 + 0.648965i
\(246\) 0.431612 + 3.55464i 0.0275186 + 0.226636i
\(247\) 3.92459 4.28676i 0.249715 0.272760i
\(248\) 0.942302 + 0.114416i 0.0598362 + 0.00726543i
\(249\) 18.1617i 1.15095i
\(250\) 2.34016 0.951556i 0.148005 0.0601817i
\(251\) −11.6929 + 6.13693i −0.738052 + 0.387360i −0.791466 0.611213i \(-0.790682\pi\)
0.0534143 + 0.998572i \(0.482990\pi\)
\(252\) −1.30476 3.44037i −0.0821922 0.216723i
\(253\) 16.8977 14.9700i 1.06235 0.941159i
\(254\) −0.854493 0.964523i −0.0536156 0.0605196i
\(255\) −0.465776 0.316097i −0.0291680 0.0197947i
\(256\) 10.6876 5.60929i 0.667975 0.350581i
\(257\) −13.4310 + 1.63082i −0.837805 + 0.101728i −0.528182 0.849131i \(-0.677126\pi\)
−0.309623 + 0.950859i \(0.600203\pi\)
\(258\) −0.802677 −0.0499725
\(259\) −0.284202 + 2.34061i −0.0176595 + 0.145439i
\(260\) 3.88890 15.2241i 0.241179 0.944156i
\(261\) −0.447399 3.68467i −0.0276933 0.228075i
\(262\) −0.378168 3.11449i −0.0233633 0.192414i
\(263\) 3.16538 + 3.57297i 0.195185 + 0.220319i 0.837953 0.545743i \(-0.183752\pi\)
−0.642767 + 0.766061i \(0.722214\pi\)
\(264\) −6.52991 1.60948i −0.401888 0.0990566i
\(265\) −14.1244 3.36318i −0.867657 0.206599i
\(266\) −0.0821360 0.333239i −0.00503608 0.0204322i
\(267\) 2.10498 5.55037i 0.128823 0.339677i
\(268\) 9.88386 0.603753
\(269\) −10.6398 + 28.0547i −0.648718 + 1.71053i 0.0535019 + 0.998568i \(0.482962\pi\)
−0.702220 + 0.711960i \(0.747808\pi\)
\(270\) −0.144579 1.11688i −0.00879877 0.0679709i
\(271\) −20.3550 2.47155i −1.23648 0.150136i −0.523932 0.851760i \(-0.675535\pi\)
−0.712547 + 0.701624i \(0.752458\pi\)
\(272\) 0.388954 + 0.147511i 0.0235838 + 0.00894416i
\(273\) 7.52846 + 1.03919i 0.455643 + 0.0628948i
\(274\) −0.186665 0.492196i −0.0112769 0.0297347i
\(275\) −16.7552 1.76621i −1.01037 0.106507i
\(276\) 28.3583 + 6.98970i 1.70697 + 0.420731i
\(277\) 3.16163 2.18232i 0.189964 0.131123i −0.469287 0.883046i \(-0.655489\pi\)
0.659251 + 0.751923i \(0.270874\pi\)
\(278\) −2.78044 1.45929i −0.166760 0.0875222i
\(279\) −0.510072 + 2.06944i −0.0305372 + 0.123894i
\(280\) −1.25781 1.39737i −0.0751688 0.0835090i
\(281\) 9.17171 + 3.47837i 0.547138 + 0.207502i 0.612657 0.790349i \(-0.290101\pi\)
−0.0655184 + 0.997851i \(0.520870\pi\)
\(282\) −0.509044 + 0.193055i −0.0303131 + 0.0114963i
\(283\) −1.77089 3.37414i −0.105268 0.200572i 0.827124 0.562019i \(-0.189975\pi\)
−0.932393 + 0.361447i \(0.882283\pi\)
\(284\) 1.90414 7.72540i 0.112990 0.458418i
\(285\) −0.0637154 8.06229i −0.00377418 0.477569i
\(286\) 1.85370 2.02477i 0.109612 0.119727i
\(287\) 5.49422 3.79239i 0.324314 0.223858i
\(288\) −1.86120 4.90758i −0.109672 0.289182i
\(289\) −6.02379 15.8834i −0.354341 0.934320i
\(290\) −0.441529 0.825346i −0.0259275 0.0484660i
\(291\) 27.5529 + 3.34553i 1.61518 + 0.196119i
\(292\) 0.690748 + 0.611949i 0.0404230 + 0.0358116i
\(293\) −15.6296 22.6433i −0.913089 1.32284i −0.946267 0.323388i \(-0.895178\pi\)
0.0331779 0.999449i \(-0.489437\pi\)
\(294\) −2.04850 + 2.31227i −0.119471 + 0.134855i
\(295\) −0.568621 4.39263i −0.0331064 0.255749i
\(296\) −0.269110 + 2.21632i −0.0156417 + 0.128821i
\(297\) −2.66339 + 7.02278i −0.154545 + 0.407503i
\(298\) 0.183067 + 0.206640i 0.0106048 + 0.0119703i
\(299\) −16.3115 + 17.8168i −0.943321 + 1.03037i
\(300\) −10.4336 19.1382i −0.602384 1.10495i
\(301\) 0.695466 + 1.32510i 0.0400860 + 0.0763775i
\(302\) 2.70132 + 1.86459i 0.155444 + 0.107295i
\(303\) −1.06795 1.20547i −0.0613522 0.0692523i
\(304\) 1.42589 + 5.78505i 0.0817803 + 0.331796i
\(305\) −8.93946 6.06672i −0.511872 0.347379i
\(306\) 0.0236765 0.0451118i 0.00135349 0.00257887i
\(307\) 24.6634 12.9443i 1.40761 0.738772i 0.421810 0.906684i \(-0.361395\pi\)
0.985802 + 0.167912i \(0.0537026\pi\)
\(308\) 1.48097 + 6.00851i 0.0843858 + 0.342367i
\(309\) 27.5594 + 24.4155i 1.56780 + 1.38895i
\(310\) 0.0690021 + 0.533044i 0.00391906 + 0.0302749i
\(311\) −11.0370 + 5.79265i −0.625850 + 0.328471i −0.747660 0.664082i \(-0.768822\pi\)
0.121810 + 0.992553i \(0.461130\pi\)
\(312\) 7.12868 + 0.984008i 0.403582 + 0.0557085i
\(313\) 2.83084 5.39372i 0.160009 0.304871i −0.792232 0.610220i \(-0.791081\pi\)
0.952240 + 0.305349i \(0.0987732\pi\)
\(314\) 3.44588 2.37852i 0.194462 0.134228i
\(315\) 3.45521 2.42549i 0.194679 0.136661i
\(316\) 25.6444 1.44261
\(317\) 19.2615 + 27.9052i 1.08184 + 1.56731i 0.792289 + 0.610146i \(0.208889\pi\)
0.289547 + 0.957164i \(0.406495\pi\)
\(318\) 0.395581 3.25790i 0.0221831 0.182694i
\(319\) 6.24257i 0.349517i
\(320\) 10.1735 + 11.3023i 0.568717 + 0.631818i
\(321\) −8.67977 + 12.5748i −0.484457 + 0.701858i
\(322\) 0.341378 + 1.38502i 0.0190242 + 0.0771843i
\(323\) −0.103053 + 0.149298i −0.00573404 + 0.00830719i
\(324\) −20.8088 + 5.12890i −1.15604 + 0.284939i
\(325\) 18.0278 + 0.00959854i 1.00000 + 0.000532431i
\(326\) −4.13756 1.01982i −0.229158 0.0564824i
\(327\) −28.0616 + 24.8604i −1.55181 + 1.37478i
\(328\) 5.20247 3.59100i 0.287258 0.198280i
\(329\) 0.759758 + 0.673087i 0.0418868 + 0.0371085i
\(330\) −0.0300948 3.80807i −0.00165666 0.209627i
\(331\) −17.0594 11.7753i −0.937672 0.647228i −0.00196150 0.999998i \(-0.500624\pi\)
−0.935710 + 0.352770i \(0.885240\pi\)
\(332\) 14.0116 7.35383i 0.768984 0.403594i
\(333\) −4.86739 1.19970i −0.266732 0.0657434i
\(334\) −0.127767 1.05226i −0.00699112 0.0575770i
\(335\) 2.80076 + 10.9887i 0.153022 + 0.600375i
\(336\) −5.16644 + 5.83171i −0.281853 + 0.318146i
\(337\) 26.6148i 1.44980i −0.688854 0.724900i \(-0.741886\pi\)
0.688854 0.724900i \(-0.258114\pi\)
\(338\) −1.74671 + 2.36162i −0.0950085 + 0.128455i
\(339\) 10.8337 0.588404
\(340\) −0.0552683 + 0.487331i −0.00299735 + 0.0264292i
\(341\) 1.27114 3.35172i 0.0688360 0.181506i
\(342\) 0.724402 0.0879584i 0.0391712 0.00475624i
\(343\) 11.9966 + 2.95690i 0.647757 + 0.159658i
\(344\) 0.658535 + 1.25473i 0.0355058 + 0.0676507i
\(345\) 0.264817 + 33.5088i 0.0142573 + 1.80406i
\(346\) −2.34005 1.61522i −0.125802 0.0868348i
\(347\) −15.5973 + 17.6057i −0.837307 + 0.945124i −0.999130 0.0416958i \(-0.986724\pi\)
0.161824 + 0.986820i \(0.448262\pi\)
\(348\) −6.64681 + 4.58796i −0.356307 + 0.245941i
\(349\) 0.804343 + 0.907915i 0.0430555 + 0.0485996i 0.769644 0.638473i \(-0.220434\pi\)
−0.726588 + 0.687073i \(0.758895\pi\)
\(350\) 0.590834 0.885590i 0.0315814 0.0473368i
\(351\) 2.05056 7.77080i 0.109451 0.414774i
\(352\) 2.11255 + 8.57094i 0.112599 + 0.456833i
\(353\) 2.04686 2.96539i 0.108943 0.157832i −0.764720 0.644363i \(-0.777123\pi\)
0.873663 + 0.486531i \(0.161738\pi\)
\(354\) 0.972066 0.239593i 0.0516647 0.0127342i
\(355\) 9.12851 0.0721417i 0.484491 0.00382888i
\(356\) −5.13437 + 0.623425i −0.272121 + 0.0330415i
\(357\) −0.237218 −0.0125549
\(358\) 0.547765 4.51125i 0.0289503 0.238427i
\(359\) 7.73264 5.33746i 0.408113 0.281700i −0.346269 0.938135i \(-0.612552\pi\)
0.754383 + 0.656435i \(0.227936\pi\)
\(360\) 3.27172 2.29669i 0.172435 0.121046i
\(361\) 16.4016 0.863244
\(362\) 0.0206894 + 0.0299738i 0.00108741 + 0.00157539i
\(363\) −0.368206 + 0.701559i −0.0193258 + 0.0368223i
\(364\) −2.24661 6.22890i −0.117754 0.326483i
\(365\) −0.484617 + 0.941364i −0.0253660 + 0.0492733i
\(366\) 1.13484 2.16226i 0.0593191 0.113023i
\(367\) 11.5227 13.0064i 0.601479 0.678929i −0.366368 0.930470i \(-0.619399\pi\)
0.967847 + 0.251541i \(0.0809372\pi\)
\(368\) −5.92634 24.0441i −0.308932 1.25339i
\(369\) 6.59637 + 12.5683i 0.343393 + 0.654281i
\(370\) −1.25374 + 0.162295i −0.0651786 + 0.00843731i
\(371\) −5.72105 + 2.16971i −0.297022 + 0.112646i
\(372\) 4.50298 1.10988i 0.233468 0.0575448i
\(373\) 9.77960 + 11.0389i 0.506368 + 0.571572i 0.944990 0.327100i \(-0.106071\pi\)
−0.438621 + 0.898672i \(0.644533\pi\)
\(374\) −0.0486752 + 0.0705183i −0.00251694 + 0.00364641i
\(375\) 18.3209 17.0230i 0.946089 0.879063i
\(376\) 0.719413 + 0.637344i 0.0371009 + 0.0328685i
\(377\) −0.696709 6.64326i −0.0358824 0.342146i
\(378\) −0.314716 0.355240i −0.0161872 0.0182716i
\(379\) 18.7967 + 7.12864i 0.965521 + 0.366174i 0.786444 0.617661i \(-0.211920\pi\)
0.179077 + 0.983835i \(0.442689\pi\)
\(380\) −6.19416 + 3.31364i −0.317754 + 0.169986i
\(381\) −11.2954 5.92828i −0.578681 0.303715i
\(382\) −2.45451 2.17451i −0.125584 0.111258i
\(383\) −2.64860 3.83716i −0.135337 0.196070i 0.749455 0.662055i \(-0.230315\pi\)
−0.884793 + 0.465985i \(0.845700\pi\)
\(384\) −10.0510 + 11.3453i −0.512914 + 0.578960i
\(385\) −6.26048 + 3.34912i −0.319063 + 0.170687i
\(386\) −0.229147 + 1.88719i −0.0116633 + 0.0960555i
\(387\) −2.97506 + 1.12829i −0.151231 + 0.0573543i
\(388\) −8.57537 22.6114i −0.435349 1.14792i
\(389\) −8.34530 12.0903i −0.423124 0.613000i 0.552218 0.833700i \(-0.313781\pi\)
−0.975342 + 0.220699i \(0.929166\pi\)
\(390\) 0.457030 + 4.04914i 0.0231426 + 0.205036i
\(391\) 0.428315 0.620521i 0.0216608 0.0313811i
\(392\) 5.29515 + 1.30514i 0.267445 + 0.0659194i
\(393\) −14.4338 27.5012i −0.728087 1.38725i
\(394\) −0.525849 1.38655i −0.0264919 0.0698533i
\(395\) 7.26678 + 28.5109i 0.365632 + 1.43454i
\(396\) −13.0614 + 1.58595i −0.656362 + 0.0796968i
\(397\) 11.4454 + 2.82103i 0.574426 + 0.141583i 0.515819 0.856698i \(-0.327488\pi\)
0.0586076 + 0.998281i \(0.481334\pi\)
\(398\) −4.27710 2.24479i −0.214391 0.112521i
\(399\) −1.93010 2.79624i −0.0966260 0.139987i
\(400\) −10.2569 + 15.3739i −0.512846 + 0.768696i
\(401\) −9.19287 37.2970i −0.459070 1.86252i −0.504275 0.863543i \(-0.668240\pi\)
0.0452044 0.998978i \(-0.485606\pi\)
\(402\) −2.39663 + 0.908921i −0.119533 + 0.0453329i
\(403\) −0.978657 + 3.70872i −0.0487504 + 0.184744i
\(404\) −0.497582 + 1.31202i −0.0247556 + 0.0652752i
\(405\) −11.5987 21.6814i −0.576345 1.07736i
\(406\) −0.349273 0.183313i −0.0173341 0.00909766i
\(407\) 7.88333 + 2.98975i 0.390762 + 0.148197i
\(408\) −0.224621 −0.0111204
\(409\) 33.8483 + 12.8370i 1.67369 + 0.634748i 0.995018 0.0996916i \(-0.0317856\pi\)
0.678674 + 0.734440i \(0.262555\pi\)
\(410\) 2.69797 + 2.35240i 0.133243 + 0.116177i
\(411\) −3.45567 3.90065i −0.170456 0.192405i
\(412\) 7.67725 31.1478i 0.378231 1.53454i
\(413\) −1.23776 1.39715i −0.0609063 0.0687490i
\(414\) −3.01079 + 0.365577i −0.147972 + 0.0179671i
\(415\) 12.1462 + 13.4939i 0.596236 + 0.662390i
\(416\) −3.20472 8.88531i −0.157124 0.435638i
\(417\) −30.8594 3.74701i −1.51119 0.183492i
\(418\) −1.22728 −0.0600285
\(419\) −3.96914 32.6888i −0.193905 1.59695i −0.686789 0.726857i \(-0.740980\pi\)
0.492884 0.870095i \(-0.335943\pi\)
\(420\) −8.16712 4.20445i −0.398514 0.205156i
\(421\) 24.5320 9.30375i 1.19561 0.453437i 0.325148 0.945663i \(-0.394586\pi\)
0.870467 + 0.492226i \(0.163817\pi\)
\(422\) 1.49804 1.32715i 0.0729235 0.0646046i
\(423\) −1.61537 + 1.43109i −0.0785418 + 0.0695819i
\(424\) −5.41725 + 2.05449i −0.263085 + 0.0997749i
\(425\) −0.557465 + 0.0766474i −0.0270410 + 0.00371794i
\(426\) 0.248715 + 2.04835i 0.0120503 + 0.0992431i
\(427\) −4.55283 −0.220327
\(428\) 13.2158 + 1.60469i 0.638811 + 0.0775658i
\(429\) 10.0506 25.2493i 0.485249 1.21905i
\(430\) −0.596378 + 0.536816i −0.0287599 + 0.0258876i
\(431\) −0.838406 + 0.101801i −0.0403846 + 0.00490358i −0.140704 0.990052i \(-0.544937\pi\)
0.100319 + 0.994955i \(0.468014\pi\)
\(432\) 5.46349 + 6.16700i 0.262862 + 0.296710i
\(433\) 7.88962 32.0094i 0.379151 1.53827i −0.403008 0.915196i \(-0.632035\pi\)
0.782159 0.623079i \(-0.214118\pi\)
\(434\) 0.150202 + 0.169543i 0.00720994 + 0.00813834i
\(435\) −6.98429 6.08970i −0.334871 0.291979i
\(436\) 30.5418 + 11.5830i 1.46269 + 0.554725i
\(437\) 10.7994 0.516606
\(438\) −0.223767 0.0848635i −0.0106920 0.00405494i
\(439\) 36.2009 + 18.9997i 1.72777 + 0.906805i 0.965836 + 0.259154i \(0.0834439\pi\)
0.761937 + 0.647651i \(0.224248\pi\)
\(440\) −5.92803 + 3.17127i −0.282608 + 0.151184i
\(441\) −4.34232 + 11.4498i −0.206777 + 0.545227i
\(442\) 0.0439293 0.0804771i 0.00208950 0.00382790i
\(443\) −11.2963 + 4.28412i −0.536703 + 0.203545i −0.608038 0.793908i \(-0.708043\pi\)
0.0713352 + 0.997452i \(0.477274\pi\)
\(444\) 2.61048 + 10.5911i 0.123888 + 0.502633i
\(445\) −2.14802 5.53162i −0.101826 0.262224i
\(446\) 0.962438 + 1.39433i 0.0455727 + 0.0660235i
\(447\) 2.41993 + 1.27008i 0.114459 + 0.0600726i
\(448\) 6.22211 + 1.53361i 0.293967 + 0.0724564i
\(449\) 8.45872 1.02707i 0.399192 0.0484707i 0.0815207 0.996672i \(-0.474022\pi\)
0.317671 + 0.948201i \(0.397099\pi\)
\(450\) 1.71776 + 1.47401i 0.0809758 + 0.0694853i
\(451\) −8.46530 22.3212i −0.398616 1.05106i
\(452\) −4.38664 8.35804i −0.206330 0.393129i
\(453\) 31.5499 + 7.77636i 1.48234 + 0.365365i
\(454\) 1.85252 2.68385i 0.0869433 0.125959i
\(455\) 6.28854 4.26280i 0.294811 0.199843i
\(456\) −1.82761 2.64775i −0.0855856 0.123992i
\(457\) −3.92794 10.3571i −0.183741 0.484486i 0.811220 0.584740i \(-0.198804\pi\)
−0.994962 + 0.100254i \(0.968034\pi\)
\(458\) 1.79822 0.681974i 0.0840252 0.0318665i
\(459\) −0.0302374 + 0.249028i −0.00141136 + 0.0116236i
\(460\) 25.7445 13.7723i 1.20034 0.642137i
\(461\) 0.447065 0.504632i 0.0208219 0.0235030i −0.738008 0.674792i \(-0.764233\pi\)
0.758829 + 0.651289i \(0.225772\pi\)
\(462\) −0.911647 1.32075i −0.0424137 0.0614468i
\(463\) −6.44671 5.71129i −0.299604 0.265426i 0.499905 0.866080i \(-0.333368\pi\)
−0.799509 + 0.600654i \(0.794907\pi\)
\(464\) 6.06341 + 3.18232i 0.281487 + 0.147736i
\(465\) 2.50994 + 4.69181i 0.116396 + 0.217577i
\(466\) 0.569879 + 0.216127i 0.0263991 + 0.0100119i
\(467\) −22.0897 24.9342i −1.02219 1.15382i −0.988008 0.154400i \(-0.950656\pi\)
−0.0341825 0.999416i \(-0.510883\pi\)
\(468\) 13.7228 3.14548i 0.634337 0.145400i
\(469\) 3.57701 + 3.16896i 0.165171 + 0.146329i
\(470\) −0.249101 + 0.483877i −0.0114902 + 0.0223196i
\(471\) 23.5465 34.1130i 1.08497 1.57184i
\(472\) −1.17203 1.32295i −0.0539472 0.0608938i
\(473\) 5.19586 1.28066i 0.238906 0.0588850i
\(474\) −6.21824 + 2.35827i −0.285613 + 0.108319i
\(475\) −5.43926 5.94756i −0.249570 0.272893i
\(476\) 0.0960515 + 0.183011i 0.00440251 + 0.00838829i
\(477\) −3.11332 12.6312i −0.142549 0.578344i
\(478\) 1.21177 1.36781i 0.0554252 0.0625621i
\(479\) 17.5510 33.4406i 0.801925 1.52794i −0.0466778 0.998910i \(-0.514863\pi\)
0.848603 0.529030i \(-0.177444\pi\)
\(480\) −11.6501 5.99751i −0.531753 0.273748i
\(481\) −8.72302 2.30183i −0.397735 0.104954i
\(482\) −2.38351 + 4.54141i −0.108566 + 0.206855i
\(483\) 8.02198 + 11.6218i 0.365013 + 0.528812i
\(484\) 0.690334 0.0313788
\(485\) 22.7089 15.9412i 1.03116 0.723854i
\(486\) 3.33055 2.29891i 0.151077 0.104281i
\(487\) 1.25164 10.3082i 0.0567173 0.467109i −0.936485 0.350708i \(-0.885941\pi\)
0.993202 0.116401i \(-0.0371358\pi\)
\(488\) −4.31106 −0.195153
\(489\) −41.8787 + 5.08499i −1.89382 + 0.229951i
\(490\) 0.0244040 + 3.08799i 0.00110246 + 0.139501i
\(491\) −33.5685 + 8.27389i −1.51493 + 0.373396i −0.907182 0.420738i \(-0.861771\pi\)
−0.607743 + 0.794134i \(0.707925\pi\)
\(492\) 17.5450 25.4184i 0.790991 1.14595i
\(493\) 0.0498966 + 0.202438i 0.00224723 + 0.00911737i
\(494\) 1.30606 0.136973i 0.0587624 0.00616268i
\(495\) −5.46440 14.0720i −0.245607 0.632490i
\(496\) −2.60752 2.94329i −0.117081 0.132157i
\(497\) 3.16603 2.18535i 0.142016 0.0980265i
\(498\) −2.72125 + 3.07166i −0.121942 + 0.137644i
\(499\) 24.8500 + 17.1527i 1.11244 + 0.767862i 0.974902 0.222634i \(-0.0714655\pi\)
0.137539 + 0.990496i \(0.456081\pi\)
\(500\) −20.5513 7.24164i −0.919083 0.323856i
\(501\) −4.87657 9.29154i −0.217869 0.415115i
\(502\) −2.89713 0.714077i −0.129305 0.0318708i
\(503\) 12.7291 1.54559i 0.567561 0.0689144i 0.168274 0.985740i \(-0.446181\pi\)
0.399287 + 0.916826i \(0.369258\pi\)
\(504\) 0.597351 1.57509i 0.0266082 0.0701599i
\(505\) −1.59967 0.181419i −0.0711843 0.00807303i
\(506\) 5.10090 0.226763
\(507\) −7.87777 + 27.9917i −0.349864 + 1.24315i
\(508\) 11.1147i 0.493134i
\(509\) 20.9001 23.5913i 0.926379 1.04567i −0.0724539 0.997372i \(-0.523083\pi\)
0.998833 0.0482943i \(-0.0153785\pi\)
\(510\) −0.0314136 0.123250i −0.00139102 0.00545760i
\(511\) 0.0537820 + 0.442934i 0.00237917 + 0.0195943i
\(512\) 15.8064 + 3.89593i 0.698551 + 0.172177i
\(513\) −3.18147 + 1.66976i −0.140465 + 0.0737219i
\(514\) −2.51592 1.73661i −0.110972 0.0765987i
\(515\) 36.8050 0.290866i 1.62182 0.0128171i
\(516\) 5.18228 + 4.59110i 0.228137 + 0.202112i
\(517\) 2.98711 2.06185i 0.131373 0.0906803i
\(518\) −0.398771 + 0.353280i −0.0175210 + 0.0155222i
\(519\) −27.3305 6.73636i −1.19967 0.295693i
\(520\) 5.95460 4.03643i 0.261126 0.177009i
\(521\) −21.1379 + 5.21001i −0.926066 + 0.228255i −0.673383 0.739294i \(-0.735159\pi\)
−0.252683 + 0.967549i \(0.581313\pi\)
\(522\) 0.476422 0.690216i 0.0208524 0.0302099i
\(523\) 6.35311 + 25.7756i 0.277802 + 1.12709i 0.929563 + 0.368663i \(0.120184\pi\)
−0.651761 + 0.758424i \(0.725969\pi\)
\(524\) −15.3725 + 22.2710i −0.671552 + 0.972912i
\(525\) 2.36013 10.2714i 0.103004 0.448282i
\(526\) 1.07857i 0.0470279i
\(527\) 0.0144312 0.118852i 0.000628634 0.00517727i
\(528\) 15.8263 + 22.9283i 0.688750 + 0.997826i
\(529\) −21.8850 −0.951523
\(530\) −1.88492 2.68513i −0.0818755 0.116635i
\(531\) 3.26610 2.25443i 0.141737 0.0978339i
\(532\) −1.37575 + 2.62127i −0.0596463 + 0.113646i
\(533\) 11.4998 + 22.8091i 0.498114 + 0.987973i
\(534\) 1.18765 0.623325i 0.0513945 0.0269739i
\(535\) 1.96087 + 15.1478i 0.0847757 + 0.654896i
\(536\) 3.38706 + 3.00068i 0.146299 + 0.129609i
\(537\) −10.7663 43.6805i −0.464599 1.88495i
\(538\) −6.00304 + 3.15064i −0.258810 + 0.135834i
\(539\) 9.57104 18.2361i 0.412254 0.785484i
\(540\) −5.45480 + 8.03778i −0.234737 + 0.345891i
\(541\) 4.17698 + 16.9467i 0.179582 + 0.728594i 0.989800 + 0.142465i \(0.0455027\pi\)
−0.810218 + 0.586129i \(0.800651\pi\)
\(542\) −3.07228 3.46789i −0.131966 0.148958i
\(543\) 0.296730 + 0.204818i 0.0127339 + 0.00878959i
\(544\) 0.137014 + 0.261059i 0.00587444 + 0.0111928i
\(545\) −4.22317 + 37.2380i −0.180901 + 1.59510i
\(546\) 1.11757 + 1.30378i 0.0478274 + 0.0557965i
\(547\) 18.6963 + 21.1038i 0.799396 + 0.902332i 0.996957 0.0779589i \(-0.0248403\pi\)
−0.197560 + 0.980291i \(0.563302\pi\)
\(548\) −1.61007 + 4.24542i −0.0687790 + 0.181355i
\(549\) 1.16680 9.60945i 0.0497978 0.410122i
\(550\) −2.56913 2.80921i −0.109548 0.119785i
\(551\) −1.98029 + 2.23528i −0.0843631 + 0.0952263i
\(552\) 7.59599 + 11.0047i 0.323307 + 0.468391i
\(553\) 9.28084 + 8.22210i 0.394661 + 0.349639i
\(554\) 0.861707 + 0.104630i 0.0366104 + 0.00444531i
\(555\) −11.0353 + 5.90345i −0.468421 + 0.250588i
\(556\) 9.60447 + 25.3249i 0.407320 + 1.07401i
\(557\) 1.03123 + 2.71912i 0.0436945 + 0.115213i 0.955087 0.296325i \(-0.0957611\pi\)
−0.911393 + 0.411538i \(0.864992\pi\)
\(558\) −0.396341 + 0.273575i −0.0167785 + 0.0115813i
\(559\) −5.38644 + 1.94276i −0.227822 + 0.0821699i
\(560\) 0.0615486 + 7.78811i 0.00260090 + 0.329108i
\(561\) −0.203002 + 0.823613i −0.00857077 + 0.0347730i
\(562\) 1.03001 + 1.96253i 0.0434485 + 0.0827842i
\(563\) −30.8861 + 11.7136i −1.30169 + 0.493667i −0.905440 0.424474i \(-0.860459\pi\)
−0.396254 + 0.918141i \(0.629690\pi\)
\(564\) 4.39074 + 1.66519i 0.184884 + 0.0701171i
\(565\) 8.04926 7.24536i 0.338635 0.304815i
\(566\) 0.206056 0.836002i 0.00866118 0.0351398i
\(567\) −9.17522 4.81553i −0.385323 0.202233i
\(568\) 2.99791 2.06931i 0.125789 0.0868262i
\(569\) 29.0179 + 7.15228i 1.21650 + 0.299839i 0.794785 0.606891i \(-0.207584\pi\)
0.421711 + 0.906730i \(0.361430\pi\)
\(570\) 1.19723 1.37310i 0.0501465 0.0575130i
\(571\) 2.15514 + 5.68264i 0.0901898 + 0.237811i 0.972520 0.232820i \(-0.0747954\pi\)
−0.882330 + 0.470631i \(0.844026\pi\)
\(572\) −23.5491 + 2.46970i −0.984638 + 0.103263i
\(573\) −30.3533 11.5115i −1.26803 0.480900i
\(574\) 1.49746 + 0.181824i 0.0625027 + 0.00758920i
\(575\) 22.6069 + 24.7195i 0.942772 + 1.03087i
\(576\) −4.83153 + 12.7397i −0.201314 + 0.530820i
\(577\) −26.6557 −1.10969 −0.554846 0.831953i \(-0.687223\pi\)
−0.554846 + 0.831953i \(0.687223\pi\)
\(578\) 1.36109 3.58890i 0.0566139 0.149279i
\(579\) 4.50386 + 18.2729i 0.187174 + 0.759395i
\(580\) −1.87014 + 7.85407i −0.0776534 + 0.326122i
\(581\) 7.42863 + 1.83099i 0.308191 + 0.0759624i
\(582\) 4.15870 + 4.69420i 0.172383 + 0.194581i
\(583\) 2.63730 + 21.7201i 0.109226 + 0.899554i
\(584\) 0.0509260 + 0.419413i 0.00210733 + 0.0173554i
\(585\) 7.38567 + 14.3654i 0.305360 + 0.593936i
\(586\) 0.749351 6.17146i 0.0309554 0.254941i
\(587\) 23.2261 0.958646 0.479323 0.877639i \(-0.340882\pi\)
0.479323 + 0.877639i \(0.340882\pi\)
\(588\) 26.4512 3.21176i 1.09083 0.132451i
\(589\) 1.51840 0.796918i 0.0625646 0.0328364i
\(590\) 0.561996 0.828115i 0.0231370 0.0340929i
\(591\) −9.73486 10.9884i −0.400439 0.452002i
\(592\) 6.92269 6.13297i 0.284521 0.252064i
\(593\) 11.1297 + 29.3466i 0.457041 + 1.20512i 0.943487 + 0.331409i \(0.107524\pi\)
−0.486446 + 0.873711i \(0.661707\pi\)
\(594\) −1.50271 + 0.788681i −0.0616568 + 0.0323600i
\(595\) −0.176250 + 0.158647i −0.00722553 + 0.00650390i
\(596\) 2.38121i 0.0975382i
\(597\) −47.4705 5.76396i −1.94284 0.235903i
\(598\) −5.42831 + 0.569291i −0.221980 + 0.0232801i
\(599\) 2.20568 + 18.1654i 0.0901215 + 0.742217i 0.965794 + 0.259311i \(0.0834956\pi\)
−0.875672 + 0.482906i \(0.839581\pi\)
\(600\) 2.23480 9.72598i 0.0912352 0.397062i
\(601\) −33.4819 + 29.6623i −1.36575 + 1.20995i −0.411334 + 0.911485i \(0.634937\pi\)
−0.954420 + 0.298467i \(0.903525\pi\)
\(602\) −0.0809227 + 0.328316i −0.00329816 + 0.0133812i
\(603\) −7.60529 + 6.73770i −0.309711 + 0.274380i
\(604\) −6.77546 27.4891i −0.275689 1.11852i
\(605\) 0.195618 + 0.767499i 0.00795300 + 0.0312033i
\(606\) 0.363894i 0.0147822i
\(607\) 13.8600 + 5.25641i 0.562561 + 0.213351i 0.619459 0.785029i \(-0.287352\pi\)
−0.0568984 + 0.998380i \(0.518121\pi\)
\(608\) −1.96246 + 3.73916i −0.0795883 + 0.151643i
\(609\) −3.87650 0.470693i −0.157084 0.0190734i
\(610\) −0.602909 2.36549i −0.0244111 0.0957759i
\(611\) −2.94873 + 2.52758i −0.119293 + 0.102255i
\(612\) −0.410889 + 0.155830i −0.0166092 + 0.00629904i
\(613\) 14.8712 3.66543i 0.600644 0.148045i 0.0727419 0.997351i \(-0.476825\pi\)
0.527902 + 0.849305i \(0.322979\pi\)
\(614\) 6.11077 + 1.50617i 0.246611 + 0.0607840i
\(615\) 33.2313 + 12.3035i 1.34001 + 0.496123i
\(616\) −1.31664 + 2.50865i −0.0530489 + 0.101076i
\(617\) 4.54965 + 1.12139i 0.183162 + 0.0451454i 0.329830 0.944040i \(-0.393009\pi\)
−0.146668 + 0.989186i \(0.546855\pi\)
\(618\) 1.00279 + 8.25870i 0.0403380 + 0.332213i
\(619\) −19.4703 7.38412i −0.782578 0.296793i −0.0692283 0.997601i \(-0.522054\pi\)
−0.713350 + 0.700808i \(0.752823\pi\)
\(620\) 2.60338 3.83614i 0.104554 0.154063i
\(621\) 13.2230 6.93995i 0.530619 0.278491i
\(622\) −2.73460 0.674018i −0.109647 0.0270257i
\(623\) −2.05803 1.42056i −0.0824534 0.0569134i
\(624\) −19.4010 22.6337i −0.776663 0.906073i
\(625\) 2.22753 24.9006i 0.0891012 0.996023i
\(626\) 1.28694 0.488072i 0.0514364 0.0195073i
\(627\) −11.3602 + 4.30834i −0.453681 + 0.172059i
\(628\) −35.8519 4.35321i −1.43065 0.173712i
\(629\) 0.279543 + 0.0339427i 0.0111461 + 0.00135338i
\(630\) 0.947794 + 0.107490i 0.0377610 + 0.00428249i
\(631\) −12.7464 + 8.79820i −0.507426 + 0.350251i −0.794110 0.607774i \(-0.792063\pi\)
0.286684 + 0.958025i \(0.407447\pi\)
\(632\) 8.78800 + 7.78549i 0.349568 + 0.309690i
\(633\) 9.20746 17.5433i 0.365964 0.697285i
\(634\) −0.923485 + 7.60558i −0.0366763 + 0.302056i
\(635\) −12.3571 + 3.14953i −0.490375 + 0.124985i
\(636\) −21.1883 + 18.7712i −0.840171 + 0.744326i
\(637\) −8.15012 + 20.4748i −0.322919 + 0.811241i
\(638\) −0.935351 + 1.05579i −0.0370309 + 0.0417993i
\(639\) 3.80114 + 7.24246i 0.150371 + 0.286507i
\(640\) 0.119739 + 15.1513i 0.00473311 + 0.598908i
\(641\) 4.14864 3.67537i 0.163861 0.145168i −0.577208 0.816597i \(-0.695858\pi\)
0.741069 + 0.671429i \(0.234319\pi\)
\(642\) −3.35213 + 0.826226i −0.132298 + 0.0326085i
\(643\) −10.5676 27.8645i −0.416745 1.09887i −0.964929 0.262509i \(-0.915450\pi\)
0.548184 0.836358i \(-0.315319\pi\)
\(644\) 5.71795 10.8946i 0.225319 0.429309i
\(645\) −3.63580 + 7.06251i −0.143159 + 0.278086i
\(646\) −0.0397992 + 0.00980963i −0.00156588 + 0.000385955i
\(647\) 28.1421 31.7658i 1.10638 1.24884i 0.140435 0.990090i \(-0.455150\pi\)
0.965944 0.258753i \(-0.0833116\pi\)
\(648\) −8.68799 4.55981i −0.341296 0.179126i
\(649\) −5.91008 + 3.10185i −0.231991 + 0.121758i
\(650\) 3.04756 + 2.70280i 0.119535 + 0.106013i
\(651\) 1.98550 + 1.04207i 0.0778178 + 0.0408419i
\(652\) 20.8800 + 30.2500i 0.817725 + 1.18468i
\(653\) 42.6397i 1.66862i −0.551297 0.834309i \(-0.685867\pi\)
0.551297 0.834309i \(-0.314133\pi\)
\(654\) −8.47093 −0.331240
\(655\) −29.1164 10.7800i −1.13767 0.421209i
\(656\) −25.9960 3.15648i −1.01497 0.123240i
\(657\) −0.948665 −0.0370109
\(658\) 0.0276448 + 0.227676i 0.00107771 + 0.00887572i
\(659\) −13.0653 + 18.9283i −0.508951 + 0.737343i −0.990263 0.139206i \(-0.955545\pi\)
0.481312 + 0.876549i \(0.340160\pi\)
\(660\) −21.5868 + 24.7580i −0.840267 + 0.963702i
\(661\) −19.2618 13.2955i −0.749197 0.517133i 0.131209 0.991355i \(-0.458114\pi\)
−0.880406 + 0.474222i \(0.842730\pi\)
\(662\) −1.12089 4.54762i −0.0435645 0.176748i
\(663\) 0.124112 0.899135i 0.00482012 0.0349195i
\(664\) 7.03415 + 1.73376i 0.272978 + 0.0672830i
\(665\) −3.30411 0.786746i −0.128128 0.0305087i
\(666\) −0.643456 0.932206i −0.0249334 0.0361223i
\(667\) 8.23057 9.29039i 0.318689 0.359725i
\(668\) −5.19375 + 7.52444i −0.200952 + 0.291129i
\(669\) 13.8034 + 9.52780i 0.533670 + 0.368366i
\(670\) −1.17279 + 2.27814i −0.0453089 + 0.0880122i
\(671\) −3.89615 + 15.8073i −0.150409 + 0.610234i
\(672\) −5.48166 + 0.665594i −0.211460 + 0.0256758i
\(673\) −33.8778 12.8482i −1.30589 0.495260i −0.399128 0.916895i \(-0.630687\pi\)
−0.906766 + 0.421635i \(0.861456\pi\)
\(674\) 3.98781 4.50131i 0.153605 0.173384i
\(675\) −10.4819 3.78689i −0.403450 0.145757i
\(676\) 24.7850 5.25645i 0.953270 0.202171i
\(677\) 11.9114i 0.457792i −0.973451 0.228896i \(-0.926488\pi\)
0.973451 0.228896i \(-0.0735115\pi\)
\(678\) 1.83228 + 1.62325i 0.0703681 + 0.0623407i
\(679\) 4.14619 10.9326i 0.159116 0.419555i
\(680\) −0.166890 + 0.150223i −0.00639995 + 0.00576077i
\(681\) 7.72604 31.3458i 0.296063 1.20117i
\(682\) 0.717187 0.376409i 0.0274625 0.0144134i
\(683\) −24.7509 + 35.8579i −0.947068 + 1.37206i −0.0189324 + 0.999821i \(0.506027\pi\)
−0.928135 + 0.372243i \(0.878589\pi\)
\(684\) −5.18002 3.57551i −0.198063 0.136713i
\(685\) −5.17621 0.587035i −0.197773 0.0224295i
\(686\) 1.58592 + 2.29760i 0.0605507 + 0.0877229i
\(687\) 14.2509 12.6252i 0.543704 0.481680i
\(688\) 1.40482 5.69959i 0.0535584 0.217295i
\(689\) −5.23067 22.8199i −0.199273 0.869368i
\(690\) −4.97599 + 5.70696i −0.189433 + 0.217260i
\(691\) 5.34255 + 3.68769i 0.203240 + 0.140286i 0.665338 0.746543i \(-0.268288\pi\)
−0.462098 + 0.886829i \(0.652903\pi\)
\(692\) 5.86932 + 23.8127i 0.223118 + 0.905225i
\(693\) −5.23548 3.61379i −0.198879 0.137277i
\(694\) −5.27588 + 0.640608i −0.200270 + 0.0243171i
\(695\) −25.4341 + 17.8543i −0.964770 + 0.677251i
\(696\) −3.67065 0.445697i −0.139136 0.0168941i
\(697\) −0.452931 0.656183i −0.0171560 0.0248547i
\(698\) 0.274072i 0.0103738i
\(699\) 6.03370 0.228215
\(700\) −8.87992 + 2.33818i −0.335629 + 0.0883747i
\(701\) 29.9727 + 15.7309i 1.13206 + 0.594148i 0.923399 0.383841i \(-0.125399\pi\)
0.208656 + 0.977989i \(0.433091\pi\)
\(702\) 1.51114 1.00702i 0.0570343 0.0380073i
\(703\) 1.87437 + 3.57132i 0.0706933 + 0.134695i
\(704\) 10.6493 20.2906i 0.401361 0.764729i
\(705\) −0.607129 + 5.35339i −0.0228658 + 0.201620i
\(706\) 0.790499 0.194840i 0.0297508 0.00733292i
\(707\) −0.600735 + 0.315290i −0.0225930 + 0.0118577i
\(708\) −7.64631 4.01309i −0.287366 0.150821i
\(709\) 42.2518 16.0240i 1.58680 0.601793i 0.605767 0.795642i \(-0.292867\pi\)
0.981031 + 0.193849i \(0.0620973\pi\)
\(710\) 1.55470 + 1.35556i 0.0583467 + 0.0508734i
\(711\) −19.7325 + 17.4815i −0.740027 + 0.655607i
\(712\) −1.94875 1.34512i −0.0730323 0.0504106i
\(713\) −6.31084 + 3.31219i −0.236343 + 0.124042i
\(714\) −0.0401202 0.0355434i −0.00150146 0.00133018i
\(715\) −9.41880 25.4816i −0.352243 0.952956i
\(716\) −29.3397 + 25.9927i −1.09647 + 0.971392i
\(717\) 6.41493 16.9148i 0.239570 0.631694i
\(718\) 2.10754 + 0.255902i 0.0786527 + 0.00955017i
\(719\) −17.3143 9.08724i −0.645714 0.338897i 0.109873 0.993946i \(-0.464956\pi\)
−0.755586 + 0.655049i \(0.772648\pi\)
\(720\) −16.4538 1.86603i −0.613196 0.0695427i
\(721\) 12.7650 8.81107i 0.475395 0.328141i
\(722\) 2.77398 + 2.45753i 0.103237 + 0.0914597i
\(723\) −6.12016 + 50.4040i −0.227611 + 1.87455i
\(724\) 0.0378663 0.311857i 0.00140729 0.0115901i
\(725\) −9.26192 + 0.146401i −0.343979 + 0.00543720i
\(726\) −0.167392 + 0.0634832i −0.00621248 + 0.00235608i
\(727\) −43.5787 + 30.0802i −1.61625 + 1.11561i −0.700655 + 0.713500i \(0.747109\pi\)
−0.915590 + 0.402113i \(0.868276\pi\)
\(728\) 1.12117 2.81662i 0.0415533 0.104391i
\(729\) 4.01830 5.82151i 0.148826 0.215611i
\(730\) −0.223011 + 0.0865989i −0.00825400 + 0.00320517i
\(731\) 0.158259 0.0830605i 0.00585341 0.00307211i
\(732\) −19.6944 + 7.46909i −0.727925 + 0.276065i
\(733\) −15.3709 + 40.5297i −0.567737 + 1.49700i 0.276492 + 0.961016i \(0.410828\pi\)
−0.844229 + 0.535983i \(0.819941\pi\)
\(734\) 3.89761 0.473256i 0.143864 0.0174682i
\(735\) 11.0662 + 28.4978i 0.408181 + 1.05116i
\(736\) 8.15647 15.5409i 0.300651 0.572843i
\(737\) 14.0636 9.70740i 0.518039 0.357577i
\(738\) −0.767536 + 3.11402i −0.0282534 + 0.114629i
\(739\) −10.5870 42.9531i −0.389448 1.58005i −0.759158 0.650907i \(-0.774389\pi\)
0.369709 0.929147i \(-0.379457\pi\)
\(740\) 9.02272 + 6.12322i 0.331682 + 0.225094i
\(741\) 11.6085 5.85274i 0.426449 0.215006i
\(742\) −1.29269 0.490251i −0.0474560 0.0179977i
\(743\) −4.00732 + 33.0033i −0.147014 + 1.21077i 0.713245 + 0.700915i \(0.247225\pi\)
−0.860259 + 0.509857i \(0.829698\pi\)
\(744\) 1.88006 + 0.986733i 0.0689265 + 0.0361754i
\(745\) 2.64738 0.674757i 0.0969925 0.0247212i
\(746\) 3.33230i 0.122004i
\(747\) −5.76840 + 15.2100i −0.211055 + 0.556506i
\(748\) 0.717606 0.176874i 0.0262383 0.00646715i
\(749\) 4.26837 + 4.81800i 0.155963 + 0.176046i
\(750\) 5.64921 0.133958i 0.206280 0.00489144i
\(751\) −6.39993 + 5.66984i −0.233537 + 0.206895i −0.771772 0.635899i \(-0.780629\pi\)
0.538236 + 0.842794i \(0.319091\pi\)
\(752\) −0.479917 3.95247i −0.0175008 0.144132i
\(753\) −29.3235 + 3.56052i −1.06861 + 0.129753i
\(754\) 0.877556 1.22795i 0.0319587 0.0447194i
\(755\) 28.6418 15.3223i 1.04238 0.557636i
\(756\) 4.09361i 0.148883i
\(757\) 44.0823 5.35256i 1.60220 0.194542i 0.729913 0.683540i \(-0.239560\pi\)
0.872285 + 0.488998i \(0.162637\pi\)
\(758\) 2.11093 + 4.02204i 0.0766724 + 0.146087i
\(759\) 47.2156 17.9065i 1.71382 0.649966i
\(760\) −3.12866 0.744968i −0.113488 0.0270228i
\(761\) −19.7561 22.3000i −0.716156 0.808374i 0.271923 0.962319i \(-0.412340\pi\)
−0.988079 + 0.153946i \(0.950802\pi\)
\(762\) −1.02211 2.69508i −0.0370270 0.0976323i
\(763\) 7.33950 + 13.9842i 0.265708 + 0.506264i
\(764\) 3.40933 + 28.0783i 0.123345 + 1.01584i
\(765\) −0.289680 0.412660i −0.0104734 0.0149198i
\(766\) 0.126986 1.04582i 0.00458818 0.0377871i
\(767\) 5.94324 3.96055i 0.214598 0.143007i
\(768\) 26.8023 3.25439i 0.967146 0.117433i
\(769\) −12.5872 + 1.52836i −0.453905 + 0.0551140i −0.344297 0.938861i \(-0.611883\pi\)
−0.109608 + 0.993975i \(0.534960\pi\)
\(770\) −1.56063 0.371605i −0.0562414 0.0133917i
\(771\) −29.3845 7.24262i −1.05826 0.260837i
\(772\) 12.2737 10.8735i 0.441739 0.391347i
\(773\) 10.5841 2.60876i 0.380685 0.0938305i −0.0443294 0.999017i \(-0.514115\pi\)
0.425015 + 0.905186i \(0.360269\pi\)
\(774\) −0.672223 0.254941i −0.0241626 0.00916365i
\(775\) 5.00265 + 1.80734i 0.179701 + 0.0649217i
\(776\) 3.92601 10.3520i 0.140936 0.371617i
\(777\) −2.45098 + 4.66995i −0.0879284 + 0.167534i
\(778\) 0.400111 3.29521i 0.0143447 0.118139i
\(779\) 4.04961 10.6780i 0.145092 0.382577i
\(780\) 20.2093 28.7563i 0.723609 1.02964i
\(781\) −4.87811 12.8625i −0.174552 0.460257i
\(782\) 0.165415 0.0407712i 0.00591524 0.00145798i
\(783\) −0.988251 + 4.00949i −0.0353172 + 0.143288i
\(784\) −12.8336 18.5927i −0.458343 0.664025i
\(785\) −5.31945 41.0930i −0.189859 1.46667i
\(786\) 1.67948 6.81390i 0.0599049 0.243044i
\(787\) 5.98767 + 49.3129i 0.213438 + 1.75782i 0.568229 + 0.822871i \(0.307629\pi\)
−0.354791 + 0.934946i \(0.615448\pi\)
\(788\) −4.53569 + 11.9596i −0.161577 + 0.426044i
\(789\) 3.78629 + 9.98362i 0.134795 + 0.355426i
\(790\) −3.04290 + 5.91081i −0.108261 + 0.210297i
\(791\) 1.09221 4.43126i 0.0388344 0.157557i
\(792\) −4.95746 3.42189i −0.176156 0.121592i
\(793\) 2.38204 17.2567i 0.0845887 0.612805i
\(794\) 1.51304 + 2.19202i 0.0536959 + 0.0777920i
\(795\) −26.8735 18.2376i −0.953104 0.646819i
\(796\) 14.7744 + 38.9568i 0.523664 + 1.38079i
\(797\) 32.3060 + 3.92266i 1.14434 + 0.138948i 0.670670 0.741756i \(-0.266007\pi\)
0.473667 + 0.880704i \(0.342930\pi\)
\(798\) 0.0925378 0.762117i 0.00327580 0.0269787i
\(799\) 0.0803878 0.0907391i 0.00284392 0.00321012i
\(800\) −12.6669 + 3.33533i −0.447843 + 0.117922i
\(801\) 3.52574 3.97974i 0.124576 0.140617i
\(802\) 4.03359 7.68537i 0.142431 0.271380i
\(803\) 1.58388 + 0.192318i 0.0558939 + 0.00678675i
\(804\) 20.6720 + 7.83986i 0.729046 + 0.276491i
\(805\) 13.7327 + 3.26991i 0.484014 + 0.115249i
\(806\) −0.721212 + 0.480612i −0.0254036 + 0.0169288i
\(807\) −44.5060 + 50.2369i −1.56668 + 1.76842i
\(808\) −0.568834 + 0.298547i −0.0200115 + 0.0105029i
\(809\) 12.7512 18.4734i 0.448310 0.649489i −0.532048 0.846714i \(-0.678578\pi\)
0.980358 + 0.197225i \(0.0631930\pi\)
\(810\) 1.28695 5.40482i 0.0452187 0.189906i
\(811\) −0.479126 1.94389i −0.0168244 0.0682592i 0.961930 0.273297i \(-0.0881143\pi\)
−0.978754 + 0.205038i \(0.934268\pi\)
\(812\) 1.20649 + 3.18126i 0.0423396 + 0.111640i
\(813\) −40.6119 21.3148i −1.42432 0.747542i
\(814\) 0.885324 + 1.68684i 0.0310306 + 0.0591239i
\(815\) −27.7145 + 31.7858i −0.970798 + 1.11341i
\(816\) 0.696489 + 0.617036i 0.0243820 + 0.0216006i
\(817\) 2.26674 + 1.18968i 0.0793033 + 0.0416216i
\(818\) 3.80128 + 7.24273i 0.132909 + 0.253236i
\(819\) 5.97485 + 3.26144i 0.208778 + 0.113964i
\(820\) −3.96364 30.6193i −0.138416 1.06927i
\(821\) −43.0918 + 29.7441i −1.50391 + 1.03808i −0.521097 + 0.853498i \(0.674477\pi\)
−0.982818 + 0.184580i \(0.940908\pi\)
\(822\) 1.17749i 0.0410696i
\(823\) 11.4898i 0.400508i 0.979744 + 0.200254i \(0.0641767\pi\)
−0.979744 + 0.200254i \(0.935823\pi\)
\(824\) 12.0872 8.34317i 0.421077 0.290648i
\(825\) −33.6424 16.9842i −1.17128 0.591314i
\(826\) 0.421756i 0.0146748i
\(827\) −4.80825 39.5995i −0.167199 1.37701i −0.798745 0.601670i \(-0.794502\pi\)
0.631546 0.775338i \(-0.282421\pi\)
\(828\) 21.5294 + 14.8607i 0.748200 + 0.516445i
\(829\) −1.09899 + 0.270876i −0.0381694 + 0.00940792i −0.258354 0.966050i \(-0.583180\pi\)
0.220185 + 0.975458i \(0.429334\pi\)
\(830\) 0.0324187 + 4.10212i 0.00112527 + 0.142387i
\(831\) 8.34355 2.05650i 0.289434 0.0713392i
\(832\) −9.06830 + 22.7815i −0.314387 + 0.789806i
\(833\) 0.164616 0.667873i 0.00570361 0.0231404i
\(834\) −4.65776 5.25753i −0.161285 0.182053i
\(835\) −9.83725 3.64212i −0.340432 0.126041i
\(836\) 7.92366 + 7.01975i 0.274045 + 0.242783i
\(837\) 1.34703 1.95152i 0.0465603 0.0674543i
\(838\) 4.22661 6.12330i 0.146006 0.211526i
\(839\) −23.2717 44.3405i −0.803427 1.53080i −0.846903 0.531748i \(-0.821535\pi\)
0.0434754 0.999054i \(-0.486157\pi\)
\(840\) −1.52232 3.92029i −0.0525249 0.135263i
\(841\) −3.08186 25.3814i −0.106271 0.875221i
\(842\) 5.54306 + 2.10221i 0.191027 + 0.0724468i
\(843\) 16.4235 + 14.5500i 0.565656 + 0.501128i
\(844\) −17.2627 −0.594205
\(845\) 12.8673 + 26.0659i 0.442647 + 0.896696i
\(846\) −0.487630 −0.0167651
\(847\) 0.249835 + 0.221335i 0.00858444 + 0.00760515i
\(848\) 22.4411 + 8.51080i 0.770632 + 0.292262i
\(849\) −1.02743 8.46167i −0.0352614 0.290404i
\(850\) −0.105767 0.0705642i −0.00362779 0.00242033i
\(851\) −7.79036 14.8433i −0.267050 0.508821i
\(852\) 10.1103 14.6473i 0.346372 0.501807i
\(853\) 7.09791 10.2831i 0.243028 0.352087i −0.682421 0.730959i \(-0.739073\pi\)
0.925449 + 0.378873i \(0.123688\pi\)
\(854\) −0.770011 0.682170i −0.0263492 0.0233434i
\(855\) 2.50733 6.77222i 0.0857488 0.231605i
\(856\) 4.04171 + 4.56215i 0.138143 + 0.155931i
\(857\) 2.80316 11.3729i 0.0957542 0.388490i −0.903436 0.428723i \(-0.858964\pi\)
0.999190 + 0.0402326i \(0.0128099\pi\)
\(858\) 5.48305 2.76443i 0.187188 0.0943761i
\(859\) −31.8253 + 7.84423i −1.08586 + 0.267642i −0.741336 0.671134i \(-0.765807\pi\)
−0.344529 + 0.938776i \(0.611961\pi\)
\(860\) 6.92081 0.0546945i 0.235998 0.00186507i
\(861\) 14.4993 3.57374i 0.494133 0.121793i
\(862\) −0.157051 0.108405i −0.00534919 0.00369228i
\(863\) −1.09288 9.00067i −0.0372020 0.306386i −0.999418 0.0341004i \(-0.989143\pi\)
0.962216 0.272286i \(-0.0877797\pi\)
\(864\) 5.83940i 0.198660i
\(865\) −24.8113 + 13.2731i −0.843610 + 0.451300i
\(866\) 6.13047 4.23155i 0.208322 0.143794i
\(867\) 37.9982i 1.29049i
\(868\) 1.95373i 0.0663140i
\(869\) 36.4891 25.1866i 1.23781 0.854397i
\(870\) −0.268791 2.07642i −0.00911288 0.0703974i
\(871\) −13.8829 + 11.9001i −0.470404 + 0.403219i
\(872\) 6.94975 + 13.2416i 0.235348 + 0.448419i
\(873\) 22.0124 + 11.5530i 0.745006 + 0.391009i
\(874\) 1.82648 + 1.61812i 0.0617817 + 0.0547338i
\(875\) −5.11581 9.20994i −0.172946 0.311353i
\(876\) 0.959297 + 1.82779i 0.0324116 + 0.0617552i
\(877\) 28.7803 + 15.1050i 0.971840 + 0.510061i 0.874413 0.485182i \(-0.161247\pi\)
0.0974267 + 0.995243i \(0.468939\pi\)
\(878\) 3.27578 + 8.63751i 0.110552 + 0.291502i
\(879\) −14.7285 59.7557i −0.496779 2.01551i
\(880\) 27.0927 + 6.45108i 0.913296 + 0.217466i
\(881\) 12.5328 18.1569i 0.422240 0.611721i −0.552916 0.833237i \(-0.686485\pi\)
0.975157 + 0.221516i \(0.0711005\pi\)
\(882\) −2.44998 + 1.28585i −0.0824950 + 0.0432967i
\(883\) −30.2368 + 34.1303i −1.01755 + 1.14858i −0.0287110 + 0.999588i \(0.509140\pi\)
−0.988839 + 0.148989i \(0.952398\pi\)
\(884\) −0.743926 + 0.268316i −0.0250209 + 0.00902445i
\(885\) 2.29496 9.63818i 0.0771441 0.323984i
\(886\) −2.55243 0.968007i −0.0857504 0.0325208i
\(887\) 5.60499 + 0.680569i 0.188197 + 0.0228513i 0.214093 0.976813i \(-0.431321\pi\)
−0.0258953 + 0.999665i \(0.508244\pi\)
\(888\) −2.32083 + 4.42196i −0.0778818 + 0.148391i
\(889\) −3.56358 + 4.02245i −0.119519 + 0.134909i
\(890\) 0.465536 1.25740i 0.0156048 0.0421481i
\(891\) −24.5712 + 27.7351i −0.823165 + 0.929162i
\(892\) 1.76147 14.5070i 0.0589785 0.485732i
\(893\) 1.72367 + 0.209291i 0.0576803 + 0.00700366i
\(894\) 0.218977 + 0.577394i 0.00732367 + 0.0193109i
\(895\) −37.2120 25.2537i −1.24386 0.844139i
\(896\) 3.62721 + 5.25492i 0.121176 + 0.175554i
\(897\) −48.2478 + 24.3254i −1.61095 + 0.812203i
\(898\) 1.58450 + 1.09370i 0.0528754 + 0.0364972i
\(899\) 0.471657 1.91359i 0.0157306 0.0638217i
\(900\) −2.65934 19.3417i −0.0886446 0.644722i
\(901\) 0.259132 + 0.683274i 0.00863292 + 0.0227631i
\(902\) 1.91276 5.04353i 0.0636879 0.167931i
\(903\) 0.403495 + 3.32308i 0.0134275 + 0.110585i
\(904\) 1.03421 4.19594i 0.0343972 0.139555i
\(905\) 0.357445 0.0462710i 0.0118819 0.00153810i
\(906\) 4.17081 + 6.04246i 0.138566 + 0.200747i
\(907\) 4.87372 19.7734i 0.161829 0.656566i −0.832846 0.553505i \(-0.813290\pi\)
0.994675 0.103061i \(-0.0328638\pi\)
\(908\) −27.3113 + 6.73162i −0.906356 + 0.223397i
\(909\) −0.511512 1.34875i −0.0169658 0.0447351i
\(910\) 1.70228 + 0.221280i 0.0564301 + 0.00733537i
\(911\) −3.59800 + 9.48715i −0.119207 + 0.314323i −0.981317 0.192398i \(-0.938373\pi\)
0.862110 + 0.506721i \(0.169143\pi\)
\(912\) −1.60646 + 13.2304i −0.0531953 + 0.438103i
\(913\) 12.7143 24.2251i 0.420782 0.801733i
\(914\) 0.887529 2.34022i 0.0293569 0.0774077i
\(915\) −13.8847 19.7793i −0.459014 0.653883i
\(916\) −15.5105 5.88234i −0.512480 0.194358i
\(917\) −12.7039 + 3.13123i −0.419520 + 0.103402i
\(918\) −0.0424269 + 0.0375869i −0.00140030 + 0.00124055i
\(919\) 3.68949 + 0.909377i 0.121705 + 0.0299976i 0.299698 0.954034i \(-0.403114\pi\)
−0.177993 + 0.984032i \(0.556960\pi\)
\(920\) 13.0035 + 3.09627i 0.428711 + 0.102081i
\(921\) 61.8507 7.51003i 2.03805 0.247464i
\(922\) 0.151222 0.0183617i 0.00498024 0.000604711i
\(923\) 6.62676 + 13.1437i 0.218122 + 0.432630i
\(924\) −1.66852 + 13.7415i −0.0548901 + 0.452061i
\(925\) −4.25093 + 11.7664i −0.139770 + 0.386876i
\(926\) −0.234572 1.93188i −0.00770853 0.0634854i
\(927\) 15.3257 + 29.2007i 0.503362 + 0.959076i
\(928\) 1.72102 + 4.53797i 0.0564954 + 0.148966i
\(929\) −5.62141 6.34526i −0.184432 0.208181i 0.649022 0.760770i \(-0.275178\pi\)
−0.833454 + 0.552589i \(0.813640\pi\)
\(930\) −0.278493 + 1.16959i −0.00913213 + 0.0383524i
\(931\) 9.21202 3.49366i 0.301912 0.114500i
\(932\) −2.44309 4.65493i −0.0800262 0.152477i
\(933\) −27.6785 + 3.36078i −0.906153 + 0.110027i
\(934\) 7.52686i 0.246286i
\(935\) 0.399990 + 0.747698i 0.0130811 + 0.0244523i
\(936\) 5.65757 + 3.08825i 0.184923 + 0.100942i
\(937\) 13.1271 1.59392i 0.428845 0.0520712i 0.0967313 0.995311i \(-0.469161\pi\)
0.332114 + 0.943239i \(0.392238\pi\)
\(938\) 0.130154 + 1.07192i 0.00424969 + 0.0349994i
\(939\) 10.1990 9.03551i 0.332831 0.294863i
\(940\) 4.37591 1.69924i 0.142726 0.0554231i
\(941\) −33.8068 38.1600i −1.10207 1.24398i −0.967444 0.253085i \(-0.918555\pi\)
−0.134627 0.990896i \(-0.542984\pi\)
\(942\) 9.09367 2.24139i 0.296288 0.0730283i
\(943\) −16.8312 + 44.3802i −0.548099 + 1.44522i
\(944\) 7.32171i 0.238301i
\(945\) −4.55119 + 1.15999i −0.148050 + 0.0377346i
\(946\) 1.07065 + 0.561922i 0.0348099 + 0.0182697i
\(947\) 6.22536 51.2705i 0.202297 1.66607i −0.438784 0.898593i \(-0.644591\pi\)
0.641081 0.767473i \(-0.278486\pi\)
\(948\) 53.6352 + 20.3411i 1.74199 + 0.660649i
\(949\) −1.70701 0.0278914i −0.0554118 0.000905393i
\(950\) −0.0287823 1.82089i −0.000933823 0.0590773i
\(951\) 18.1510 + 73.6417i 0.588588 + 2.38799i
\(952\) −0.0226454 + 0.0918760i −0.000733941 + 0.00297772i
\(953\) 23.2423 16.0430i 0.752891 0.519683i −0.128708 0.991683i \(-0.541083\pi\)
0.881599 + 0.472000i \(0.156468\pi\)
\(954\) 1.36604 2.60277i 0.0442272 0.0842679i
\(955\) −30.2508 + 11.7469i −0.978893 + 0.380120i
\(956\) −15.6470 + 1.89989i −0.506061 + 0.0614469i
\(957\) −4.95160 + 13.0563i −0.160063 + 0.422050i
\(958\) 7.97891 3.02600i 0.257787 0.0977657i
\(959\) −1.94386 + 1.02022i −0.0627704 + 0.0329445i
\(960\) 12.3129 + 31.7083i 0.397396 + 1.02338i
\(961\) 16.9671 24.5811i 0.547326 0.792939i
\(962\) −1.13041 1.69631i −0.0364460 0.0546912i
\(963\) −11.2630 + 7.77431i −0.362946 + 0.250524i
\(964\) 41.3642 15.6874i 1.33225 0.505257i
\(965\) 15.5669 + 10.5644i 0.501116 + 0.340080i
\(966\) −0.384610 + 3.16755i −0.0123746 + 0.101914i
\(967\) −1.33128 + 10.9641i −0.0428110 + 0.352581i 0.955525 + 0.294911i \(0.0952900\pi\)
−0.998336 + 0.0576695i \(0.981633\pi\)
\(968\) 0.236568 + 0.209581i 0.00760359 + 0.00673619i
\(969\) −0.333959 + 0.230515i −0.0107283 + 0.00740521i
\(970\) 6.22925 + 0.706461i 0.200009 + 0.0226831i
\(971\) 16.7496 + 8.79089i 0.537521 + 0.282113i 0.711559 0.702626i \(-0.247989\pi\)
−0.174038 + 0.984739i \(0.555682\pi\)
\(972\) −34.6520 4.20752i −1.11146 0.134956i
\(973\) −4.64375 + 12.2446i −0.148872 + 0.392543i
\(974\) 1.75621 1.55586i 0.0562725 0.0498531i
\(975\) 37.6973 + 14.3197i 1.20728 + 0.458596i
\(976\) 13.3675 + 11.8425i 0.427882 + 0.379070i
\(977\) −47.2385 + 24.7927i −1.51129 + 0.793187i −0.997888 0.0649597i \(-0.979308\pi\)
−0.513404 + 0.858147i \(0.671616\pi\)
\(978\) −7.84476 5.41485i −0.250848 0.173148i
\(979\) −6.69332 + 5.92977i −0.213920 + 0.189516i
\(980\) 17.5049 20.0764i 0.559174 0.641317i
\(981\) −31.3969 + 11.9073i −1.00243 + 0.380170i
\(982\) −6.91709 3.63037i −0.220733 0.115850i
\(983\) 4.82831 2.53409i 0.153999 0.0808250i −0.385963 0.922514i \(-0.626131\pi\)
0.539962 + 0.841689i \(0.318439\pi\)
\(984\) 13.7293 3.38397i 0.437674 0.107877i
\(985\) −14.5817 1.65372i −0.464612 0.0526918i
\(986\) −0.0218933 + 0.0417142i −0.000697225 + 0.00132845i
\(987\) 1.05514 + 2.01040i 0.0335854 + 0.0639916i
\(988\) −9.21570 6.58599i −0.293190 0.209528i
\(989\) −9.42114 4.94460i −0.299575 0.157229i
\(990\) 1.18429 3.19873i 0.0376392 0.101662i
\(991\) −25.1445 −0.798740 −0.399370 0.916790i \(-0.630771\pi\)
−0.399370 + 0.916790i \(0.630771\pi\)
\(992\) 2.78693i 0.0884852i
\(993\) −26.3396 38.1594i −0.835861 1.21095i
\(994\) 0.862906 + 0.104776i 0.0273697 + 0.00332328i
\(995\) −39.1248 + 27.4649i −1.24034 + 0.870696i
\(996\) 35.1381 4.26654i 1.11339 0.135191i
\(997\) 3.43888 + 2.37369i 0.108910 + 0.0751754i 0.621275 0.783593i \(-0.286615\pi\)
−0.512365 + 0.858768i \(0.671230\pi\)
\(998\) 1.63277 + 6.62440i 0.0516844 + 0.209692i
\(999\) 4.59002 + 3.16826i 0.145222 + 0.100239i
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 845.2.v.a.389.48 yes 1056
5.4 even 2 inner 845.2.v.a.389.41 1056
169.116 even 26 inner 845.2.v.a.454.41 yes 1056
845.454 even 26 inner 845.2.v.a.454.48 yes 1056
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
845.2.v.a.389.41 1056 5.4 even 2 inner
845.2.v.a.389.48 yes 1056 1.1 even 1 trivial
845.2.v.a.454.41 yes 1056 169.116 even 26 inner
845.2.v.a.454.48 yes 1056 845.454 even 26 inner