Properties

Label 370.2.ba.b.207.8
Level $370$
Weight $2$
Character 370.207
Analytic conductor $2.954$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [370,2,Mod(17,370)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(370, base_ring=CyclotomicField(36))
 
chi = DirichletCharacter(H, H._module([9, 7]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("370.17");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.ba (of order \(36\), 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: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(10\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 207.8
Character \(\chi\) \(=\) 370.207
Dual form 370.2.ba.b.143.8

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.939693 + 0.342020i) q^{2} +(1.48063 + 0.690428i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.77560 + 1.35913i) q^{5} +(1.15520 + 1.15520i) q^{6} +(-1.76661 + 1.23700i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.212794 - 0.253598i) q^{9} +O(q^{10})\) \(q+(0.939693 + 0.342020i) q^{2} +(1.48063 + 0.690428i) q^{3} +(0.766044 + 0.642788i) q^{4} +(1.77560 + 1.35913i) q^{5} +(1.15520 + 1.15520i) q^{6} +(-1.76661 + 1.23700i) q^{7} +(0.500000 + 0.866025i) q^{8} +(-0.212794 - 0.253598i) q^{9} +(1.20367 + 1.88446i) q^{10} +(2.81899 - 1.62754i) q^{11} +(0.690428 + 1.48063i) q^{12} +(-4.32434 - 3.62855i) q^{13} +(-2.08315 + 0.558179i) q^{14} +(1.69062 + 3.23829i) q^{15} +(0.173648 + 0.984808i) q^{16} +(-1.72482 - 2.05556i) q^{17} +(-0.113225 - 0.311084i) q^{18} +(-3.14146 + 6.73688i) q^{19} +(0.486557 + 2.18249i) q^{20} +(-3.46976 + 0.611812i) q^{21} +(3.20563 - 0.565239i) q^{22} +(3.58815 - 6.21486i) q^{23} +(0.142386 + 1.62748i) q^{24} +(1.30552 + 4.82655i) q^{25} +(-2.82251 - 4.88873i) q^{26} +(-1.40847 - 5.25648i) q^{27} +(-2.14843 - 0.187963i) q^{28} +(0.575303 - 2.14706i) q^{29} +(0.481104 + 3.62123i) q^{30} +(5.12697 - 5.12697i) q^{31} +(-0.173648 + 0.984808i) q^{32} +(5.29757 - 0.463477i) q^{33} +(-0.917758 - 2.52152i) q^{34} +(-4.81805 - 0.204648i) q^{35} -0.331048i q^{36} +(5.53353 + 2.52588i) q^{37} +(-5.25615 + 5.25615i) q^{38} +(-3.89748 - 8.35818i) q^{39} +(-0.289242 + 2.21728i) q^{40} +(-5.34118 + 6.36538i) q^{41} +(-3.46976 - 0.611812i) q^{42} +1.92552 q^{43} +(3.20563 + 0.565239i) q^{44} +(-0.0331643 - 0.739503i) q^{45} +(5.49737 - 4.61284i) q^{46} +(-3.80548 + 1.01967i) q^{47} +(-0.422831 + 1.57803i) q^{48} +(-0.803375 + 2.20725i) q^{49} +(-0.423988 + 4.98199i) q^{50} +(-1.13460 - 4.23439i) q^{51} +(-0.980248 - 5.55926i) q^{52} +(9.47266 + 6.63283i) q^{53} +(0.474294 - 5.42120i) q^{54} +(7.21744 + 0.941505i) q^{55} +(-1.95458 - 0.911435i) q^{56} +(-9.30266 + 7.80586i) q^{57} +(1.27495 - 1.82081i) q^{58} +(1.83529 + 1.28509i) q^{59} +(-0.786443 + 3.56739i) q^{60} +(-7.75149 + 0.678167i) q^{61} +(6.57130 - 3.06425i) q^{62} +(0.689624 + 0.184784i) q^{63} +(-0.500000 + 0.866025i) q^{64} +(-2.74662 - 12.3202i) q^{65} +(5.13661 + 1.37635i) q^{66} +(-8.19143 - 11.6986i) q^{67} -2.68335i q^{68} +(9.60364 - 6.72454i) q^{69} +(-4.45749 - 1.84017i) q^{70} +(-6.11882 + 2.22707i) q^{71} +(0.113225 - 0.311084i) q^{72} +(-6.62101 - 6.62101i) q^{73} +(4.33591 + 4.26613i) q^{74} +(-1.39939 + 8.04770i) q^{75} +(-6.73688 + 3.14146i) q^{76} +(-2.96680 + 6.36232i) q^{77} +(-0.803770 - 9.18714i) q^{78} +(6.34483 + 9.06135i) q^{79} +(-1.03015 + 1.98464i) q^{80} +(1.37135 - 7.77728i) q^{81} +(-7.19616 + 4.15470i) q^{82} +(1.09366 - 12.5006i) q^{83} +(-3.05125 - 1.76164i) q^{84} +(-0.268817 - 5.99412i) q^{85} +(1.80940 + 0.658567i) q^{86} +(2.33420 - 2.78179i) q^{87} +(2.81899 + 1.62754i) q^{88} +(-3.97821 + 5.68147i) q^{89} +(0.221761 - 0.706249i) q^{90} +(12.1279 + 1.06106i) q^{91} +(6.74352 - 2.45444i) q^{92} +(11.1309 - 4.05133i) q^{93} +(-3.92473 - 0.343369i) q^{94} +(-14.7343 + 7.69236i) q^{95} +(-0.937048 + 1.33824i) q^{96} +(-14.3185 - 8.26679i) q^{97} +(-1.50985 + 1.79937i) q^{98} +(-1.01260 - 0.368558i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 120 q - 6 q^{3} - 6 q^{5} + 60 q^{8} + 12 q^{10} - 36 q^{11} - 6 q^{12} - 6 q^{13} + 12 q^{14} - 24 q^{15} - 12 q^{19} + 12 q^{20} + 42 q^{21} + 6 q^{22} + 6 q^{24} + 6 q^{25} + 6 q^{26} + 6 q^{27} - 36 q^{30} - 18 q^{33} - 30 q^{35} + 12 q^{37} - 48 q^{38} - 12 q^{40} - 30 q^{41} + 42 q^{42} + 6 q^{44} - 30 q^{45} - 6 q^{46} + 12 q^{47} - 60 q^{49} - 48 q^{50} + 12 q^{51} - 6 q^{52} + 12 q^{53} + 18 q^{54} + 36 q^{57} + 6 q^{58} - 24 q^{59} + 54 q^{60} - 72 q^{61} + 6 q^{62} + 96 q^{63} - 60 q^{64} - 18 q^{65} - 42 q^{67} - 96 q^{69} - 12 q^{70} - 90 q^{73} + 24 q^{74} - 60 q^{75} + 18 q^{76} + 6 q^{77} + 24 q^{78} - 18 q^{79} + 6 q^{80} - 108 q^{81} - 36 q^{82} + 48 q^{83} + 36 q^{85} + 24 q^{86} + 108 q^{87} - 36 q^{88} + 54 q^{89} - 6 q^{90} + 42 q^{91} - 12 q^{92} - 12 q^{93} - 18 q^{94} - 198 q^{95} - 12 q^{96} - 72 q^{97} + 48 q^{98} + 42 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{31}{36}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 + 0.342020i 0.664463 + 0.241845i
\(3\) 1.48063 + 0.690428i 0.854841 + 0.398619i 0.800089 0.599881i \(-0.204785\pi\)
0.0547519 + 0.998500i \(0.482563\pi\)
\(4\) 0.766044 + 0.642788i 0.383022 + 0.321394i
\(5\) 1.77560 + 1.35913i 0.794073 + 0.607822i
\(6\) 1.15520 + 1.15520i 0.471606 + 0.471606i
\(7\) −1.76661 + 1.23700i −0.667718 + 0.467541i −0.857635 0.514259i \(-0.828067\pi\)
0.189917 + 0.981800i \(0.439178\pi\)
\(8\) 0.500000 + 0.866025i 0.176777 + 0.306186i
\(9\) −0.212794 0.253598i −0.0709313 0.0845326i
\(10\) 1.20367 + 1.88446i 0.380634 + 0.595918i
\(11\) 2.81899 1.62754i 0.849956 0.490722i −0.0106800 0.999943i \(-0.503400\pi\)
0.860636 + 0.509221i \(0.170066\pi\)
\(12\) 0.690428 + 1.48063i 0.199309 + 0.427421i
\(13\) −4.32434 3.62855i −1.19936 1.00638i −0.999648 0.0265228i \(-0.991557\pi\)
−0.199707 0.979856i \(-0.563999\pi\)
\(14\) −2.08315 + 0.558179i −0.556746 + 0.149180i
\(15\) 1.69062 + 3.23829i 0.436517 + 0.836124i
\(16\) 0.173648 + 0.984808i 0.0434120 + 0.246202i
\(17\) −1.72482 2.05556i −0.418331 0.498547i 0.515187 0.857078i \(-0.327722\pi\)
−0.933518 + 0.358531i \(0.883278\pi\)
\(18\) −0.113225 0.311084i −0.0266874 0.0733231i
\(19\) −3.14146 + 6.73688i −0.720700 + 1.54555i 0.113164 + 0.993576i \(0.463901\pi\)
−0.833864 + 0.551970i \(0.813876\pi\)
\(20\) 0.486557 + 2.18249i 0.108797 + 0.488020i
\(21\) −3.46976 + 0.611812i −0.757163 + 0.133508i
\(22\) 3.20563 0.565239i 0.683443 0.120509i
\(23\) 3.58815 6.21486i 0.748182 1.29589i −0.200512 0.979691i \(-0.564261\pi\)
0.948693 0.316197i \(-0.102406\pi\)
\(24\) 0.142386 + 1.62748i 0.0290644 + 0.332207i
\(25\) 1.30552 + 4.82655i 0.261105 + 0.965311i
\(26\) −2.82251 4.88873i −0.553540 0.958759i
\(27\) −1.40847 5.25648i −0.271060 1.01161i
\(28\) −2.14843 0.187963i −0.406015 0.0355217i
\(29\) 0.575303 2.14706i 0.106831 0.398699i −0.891715 0.452596i \(-0.850498\pi\)
0.998546 + 0.0538977i \(0.0171645\pi\)
\(30\) 0.481104 + 3.62123i 0.0878372 + 0.661143i
\(31\) 5.12697 5.12697i 0.920831 0.920831i −0.0762574 0.997088i \(-0.524297\pi\)
0.997088 + 0.0762574i \(0.0242971\pi\)
\(32\) −0.173648 + 0.984808i −0.0306970 + 0.174091i
\(33\) 5.29757 0.463477i 0.922189 0.0806810i
\(34\) −0.917758 2.52152i −0.157394 0.432437i
\(35\) −4.81805 0.204648i −0.814398 0.0345918i
\(36\) 0.331048i 0.0551747i
\(37\) 5.53353 + 2.52588i 0.909706 + 0.415252i
\(38\) −5.25615 + 5.25615i −0.852661 + 0.852661i
\(39\) −3.89748 8.35818i −0.624097 1.33838i
\(40\) −0.289242 + 2.21728i −0.0457331 + 0.350583i
\(41\) −5.34118 + 6.36538i −0.834153 + 0.994105i 0.165816 + 0.986157i \(0.446974\pi\)
−0.999968 + 0.00794794i \(0.997470\pi\)
\(42\) −3.46976 0.611812i −0.535395 0.0944046i
\(43\) 1.92552 0.293639 0.146820 0.989163i \(-0.453096\pi\)
0.146820 + 0.989163i \(0.453096\pi\)
\(44\) 3.20563 + 0.565239i 0.483267 + 0.0852130i
\(45\) −0.0331643 0.739503i −0.00494384 0.110239i
\(46\) 5.49737 4.61284i 0.810543 0.680126i
\(47\) −3.80548 + 1.01967i −0.555086 + 0.148735i −0.525448 0.850826i \(-0.676102\pi\)
−0.0296382 + 0.999561i \(0.509435\pi\)
\(48\) −0.422831 + 1.57803i −0.0610304 + 0.227768i
\(49\) −0.803375 + 2.20725i −0.114768 + 0.315322i
\(50\) −0.423988 + 4.98199i −0.0599609 + 0.704560i
\(51\) −1.13460 4.23439i −0.158876 0.592933i
\(52\) −0.980248 5.55926i −0.135936 0.770931i
\(53\) 9.47266 + 6.63283i 1.30117 + 0.911089i 0.999109 0.0422001i \(-0.0134367\pi\)
0.302060 + 0.953289i \(0.402326\pi\)
\(54\) 0.474294 5.42120i 0.0645432 0.737732i
\(55\) 7.21744 + 0.941505i 0.973199 + 0.126953i
\(56\) −1.95458 0.911435i −0.261192 0.121796i
\(57\) −9.30266 + 7.80586i −1.23217 + 1.03391i
\(58\) 1.27495 1.82081i 0.167408 0.239084i
\(59\) 1.83529 + 1.28509i 0.238935 + 0.167304i 0.686911 0.726742i \(-0.258966\pi\)
−0.447976 + 0.894045i \(0.647855\pi\)
\(60\) −0.786443 + 3.56739i −0.101529 + 0.460548i
\(61\) −7.75149 + 0.678167i −0.992476 + 0.0868304i −0.571811 0.820386i \(-0.693759\pi\)
−0.420665 + 0.907216i \(0.638203\pi\)
\(62\) 6.57130 3.06425i 0.834556 0.389160i
\(63\) 0.689624 + 0.184784i 0.0868845 + 0.0232806i
\(64\) −0.500000 + 0.866025i −0.0625000 + 0.108253i
\(65\) −2.74662 12.3202i −0.340677 1.52813i
\(66\) 5.13661 + 1.37635i 0.632273 + 0.169417i
\(67\) −8.19143 11.6986i −1.00074 1.42921i −0.900810 0.434213i \(-0.857026\pi\)
−0.0999320 0.994994i \(-0.531863\pi\)
\(68\) 2.68335i 0.325404i
\(69\) 9.60364 6.72454i 1.15614 0.809539i
\(70\) −4.45749 1.84017i −0.532772 0.219943i
\(71\) −6.11882 + 2.22707i −0.726170 + 0.264304i −0.678543 0.734561i \(-0.737388\pi\)
−0.0476272 + 0.998865i \(0.515166\pi\)
\(72\) 0.113225 0.311084i 0.0133437 0.0366616i
\(73\) −6.62101 6.62101i −0.774930 0.774930i 0.204034 0.978964i \(-0.434595\pi\)
−0.978964 + 0.204034i \(0.934595\pi\)
\(74\) 4.33591 + 4.26613i 0.504039 + 0.495928i
\(75\) −1.39939 + 8.04770i −0.161588 + 0.929268i
\(76\) −6.73688 + 3.14146i −0.772773 + 0.360350i
\(77\) −2.96680 + 6.36232i −0.338098 + 0.725053i
\(78\) −0.803770 9.18714i −0.0910091 1.04024i
\(79\) 6.34483 + 9.06135i 0.713849 + 1.01948i 0.998153 + 0.0607477i \(0.0193485\pi\)
−0.284304 + 0.958734i \(0.591763\pi\)
\(80\) −1.03015 + 1.98464i −0.115175 + 0.221889i
\(81\) 1.37135 7.77728i 0.152372 0.864143i
\(82\) −7.19616 + 4.15470i −0.794683 + 0.458810i
\(83\) 1.09366 12.5006i 0.120045 1.37212i −0.662281 0.749255i \(-0.730412\pi\)
0.782327 0.622868i \(-0.214033\pi\)
\(84\) −3.05125 1.76164i −0.332919 0.192211i
\(85\) −0.268817 5.99412i −0.0291573 0.650154i
\(86\) 1.80940 + 0.658567i 0.195112 + 0.0710151i
\(87\) 2.33420 2.78179i 0.250252 0.298239i
\(88\) 2.81899 + 1.62754i 0.300505 + 0.173497i
\(89\) −3.97821 + 5.68147i −0.421689 + 0.602235i −0.972644 0.232300i \(-0.925375\pi\)
0.550955 + 0.834535i \(0.314264\pi\)
\(90\) 0.221761 0.706249i 0.0233756 0.0744452i
\(91\) 12.1279 + 1.06106i 1.27135 + 0.111229i
\(92\) 6.74352 2.45444i 0.703061 0.255893i
\(93\) 11.1309 4.05133i 1.15422 0.420103i
\(94\) −3.92473 0.343369i −0.404805 0.0354158i
\(95\) −14.7343 + 7.69236i −1.51171 + 0.789219i
\(96\) −0.937048 + 1.33824i −0.0956370 + 0.136584i
\(97\) −14.3185 8.26679i −1.45382 0.839365i −0.455127 0.890426i \(-0.650406\pi\)
−0.998696 + 0.0510615i \(0.983740\pi\)
\(98\) −1.50985 + 1.79937i −0.152518 + 0.181764i
\(99\) −1.01260 0.368558i −0.101770 0.0370414i
\(100\) −2.10236 + 4.53653i −0.210236 + 0.453653i
\(101\) 2.21540 + 1.27906i 0.220441 + 0.127271i 0.606154 0.795347i \(-0.292711\pi\)
−0.385714 + 0.922619i \(0.626045\pi\)
\(102\) 0.382070 4.36708i 0.0378306 0.432405i
\(103\) 8.21778 4.74454i 0.809722 0.467493i −0.0371372 0.999310i \(-0.511824\pi\)
0.846859 + 0.531817i \(0.178491\pi\)
\(104\) 0.980248 5.55926i 0.0961212 0.545130i
\(105\) −6.99244 3.62952i −0.682392 0.354205i
\(106\) 6.63283 + 9.47266i 0.644237 + 0.920066i
\(107\) 0.466249 + 5.32926i 0.0450740 + 0.515199i 0.984850 + 0.173408i \(0.0554779\pi\)
−0.939776 + 0.341791i \(0.888967\pi\)
\(108\) 2.29985 4.93204i 0.221303 0.474586i
\(109\) 5.48140 2.55602i 0.525023 0.244822i −0.141990 0.989868i \(-0.545350\pi\)
0.667013 + 0.745046i \(0.267572\pi\)
\(110\) 6.46016 + 3.35323i 0.615952 + 0.319718i
\(111\) 6.44916 + 7.56040i 0.612127 + 0.717601i
\(112\) −1.52497 1.52497i −0.144096 0.144096i
\(113\) −4.88603 + 13.4243i −0.459639 + 1.26285i 0.466116 + 0.884724i \(0.345653\pi\)
−0.925755 + 0.378124i \(0.876569\pi\)
\(114\) −11.4114 + 4.15341i −1.06878 + 0.389003i
\(115\) 14.8179 6.15835i 1.38178 0.574269i
\(116\) 1.82081 1.27495i 0.169058 0.118376i
\(117\) 1.86877i 0.172768i
\(118\) 1.28509 + 1.83529i 0.118302 + 0.168952i
\(119\) 5.58982 + 1.49779i 0.512418 + 0.137302i
\(120\) −1.95913 + 3.08327i −0.178844 + 0.281463i
\(121\) −0.202216 + 0.350248i −0.0183832 + 0.0318407i
\(122\) −7.51596 2.01390i −0.680463 0.182330i
\(123\) −12.3031 + 5.73705i −1.10934 + 0.517292i
\(124\) 7.22304 0.631934i 0.648648 0.0567493i
\(125\) −4.24183 + 10.3444i −0.379401 + 0.925232i
\(126\) 0.584835 + 0.409506i 0.0521012 + 0.0364817i
\(127\) −3.33732 + 4.76618i −0.296139 + 0.422930i −0.939456 0.342670i \(-0.888669\pi\)
0.643317 + 0.765600i \(0.277558\pi\)
\(128\) −0.766044 + 0.642788i −0.0677094 + 0.0568149i
\(129\) 2.85098 + 1.32943i 0.251015 + 0.117050i
\(130\) 1.63277 12.5166i 0.143204 1.09778i
\(131\) 0.741029 8.47000i 0.0647440 0.740027i −0.892557 0.450934i \(-0.851091\pi\)
0.957301 0.289093i \(-0.0933536\pi\)
\(132\) 4.35609 + 3.05017i 0.379149 + 0.265483i
\(133\) −2.78375 15.7874i −0.241382 1.36895i
\(134\) −3.69628 13.7947i −0.319310 1.19168i
\(135\) 4.64337 11.2477i 0.399637 0.968049i
\(136\) 0.917758 2.52152i 0.0786971 0.216219i
\(137\) −2.38410 + 8.89759i −0.203688 + 0.760172i 0.786158 + 0.618026i \(0.212067\pi\)
−0.989846 + 0.142147i \(0.954599\pi\)
\(138\) 11.3244 3.03436i 0.963997 0.258302i
\(139\) −6.42757 + 5.39337i −0.545179 + 0.457460i −0.873305 0.487175i \(-0.838028\pi\)
0.328126 + 0.944634i \(0.393583\pi\)
\(140\) −3.55929 3.25375i −0.300815 0.274992i
\(141\) −6.33851 1.11765i −0.533799 0.0941231i
\(142\) −6.51151 −0.546434
\(143\) −18.0959 3.19079i −1.51325 0.266827i
\(144\) 0.212794 0.253598i 0.0177328 0.0211331i
\(145\) 3.93964 3.03041i 0.327170 0.251662i
\(146\) −3.95719 8.48623i −0.327500 0.702325i
\(147\) −2.71345 + 2.71345i −0.223802 + 0.223802i
\(148\) 2.61532 + 5.49182i 0.214978 + 0.451425i
\(149\) 1.53713i 0.125927i 0.998016 + 0.0629634i \(0.0200551\pi\)
−0.998016 + 0.0629634i \(0.979945\pi\)
\(150\) −4.06748 + 7.08374i −0.332108 + 0.578385i
\(151\) −0.635637 1.74640i −0.0517274 0.142120i 0.911138 0.412101i \(-0.135205\pi\)
−0.962866 + 0.269981i \(0.912983\pi\)
\(152\) −7.40504 + 0.647857i −0.600628 + 0.0525481i
\(153\) −0.154255 + 0.874822i −0.0124708 + 0.0707252i
\(154\) −4.96392 + 4.96392i −0.400004 + 0.400004i
\(155\) 16.0717 2.13523i 1.29091 0.171506i
\(156\) 2.38689 8.90799i 0.191104 0.713210i
\(157\) 10.1917 + 0.891661i 0.813388 + 0.0711623i 0.486256 0.873816i \(-0.338362\pi\)
0.327132 + 0.944979i \(0.393918\pi\)
\(158\) 2.86302 + 10.6849i 0.227770 + 0.850049i
\(159\) 9.44599 + 16.3609i 0.749116 + 1.29751i
\(160\) −1.64681 + 1.51262i −0.130192 + 0.119583i
\(161\) 1.34888 + 15.4178i 0.106307 + 1.21509i
\(162\) 3.94863 6.83923i 0.310234 0.537341i
\(163\) −11.2274 + 1.97969i −0.879395 + 0.155061i −0.595077 0.803669i \(-0.702878\pi\)
−0.284318 + 0.958730i \(0.591767\pi\)
\(164\) −8.18317 + 1.44291i −0.638998 + 0.112673i
\(165\) 10.0363 + 6.37714i 0.781325 + 0.496460i
\(166\) 5.30318 11.3727i 0.411607 0.882693i
\(167\) −1.82089 5.00286i −0.140905 0.387133i 0.849088 0.528252i \(-0.177152\pi\)
−0.989993 + 0.141119i \(0.954930\pi\)
\(168\) −2.26472 2.69899i −0.174727 0.208232i
\(169\) 3.27609 + 18.5796i 0.252007 + 1.42920i
\(170\) 1.79750 5.72457i 0.137862 0.439055i
\(171\) 2.37694 0.636899i 0.181769 0.0487049i
\(172\) 1.47503 + 1.23770i 0.112470 + 0.0943738i
\(173\) 2.91286 + 6.24664i 0.221460 + 0.474923i 0.985376 0.170392i \(-0.0545036\pi\)
−0.763916 + 0.645316i \(0.776726\pi\)
\(174\) 3.14486 1.81569i 0.238411 0.137647i
\(175\) −8.27679 6.91173i −0.625666 0.522478i
\(176\) 2.09233 + 2.49354i 0.157715 + 0.187958i
\(177\) 1.83013 + 3.16987i 0.137561 + 0.238262i
\(178\) −5.68147 + 3.97821i −0.425844 + 0.298179i
\(179\) 7.78665 + 7.78665i 0.582002 + 0.582002i 0.935453 0.353451i \(-0.114992\pi\)
−0.353451 + 0.935453i \(0.614992\pi\)
\(180\) 0.449938 0.587810i 0.0335364 0.0438128i
\(181\) 8.37873 + 7.03059i 0.622786 + 0.522580i 0.898678 0.438609i \(-0.144529\pi\)
−0.275892 + 0.961189i \(0.588973\pi\)
\(182\) 11.0336 + 5.14507i 0.817867 + 0.381378i
\(183\) −11.9453 4.34773i −0.883022 0.321394i
\(184\) 7.17631 0.529044
\(185\) 6.39233 + 12.0058i 0.469974 + 0.882680i
\(186\) 11.8453 0.868539
\(187\) −8.20776 2.98738i −0.600211 0.218459i
\(188\) −3.57060 1.66500i −0.260413 0.121432i
\(189\) 8.99047 + 7.54390i 0.653961 + 0.548738i
\(190\) −16.4766 + 2.18903i −1.19534 + 0.158809i
\(191\) 10.9509 + 10.9509i 0.792377 + 0.792377i 0.981880 0.189503i \(-0.0606877\pi\)
−0.189503 + 0.981880i \(0.560688\pi\)
\(192\) −1.33824 + 0.937048i −0.0965793 + 0.0676256i
\(193\) 4.93530 + 8.54819i 0.355251 + 0.615312i 0.987161 0.159729i \(-0.0510622\pi\)
−0.631910 + 0.775042i \(0.717729\pi\)
\(194\) −10.6276 12.6655i −0.763015 0.909326i
\(195\) 4.43949 20.1380i 0.317918 1.44211i
\(196\) −2.03422 + 1.17446i −0.145301 + 0.0838897i
\(197\) −6.15978 13.2097i −0.438866 0.941151i −0.993999 0.109389i \(-0.965110\pi\)
0.555133 0.831762i \(-0.312667\pi\)
\(198\) −0.825482 0.692662i −0.0586644 0.0492253i
\(199\) 25.3051 6.78048i 1.79383 0.480656i 0.800843 0.598874i \(-0.204385\pi\)
0.992988 + 0.118218i \(0.0377182\pi\)
\(200\) −3.52716 + 3.54389i −0.249408 + 0.250591i
\(201\) −4.05143 22.9768i −0.285766 1.62066i
\(202\) 1.64433 + 1.95964i 0.115695 + 0.137880i
\(203\) 1.63957 + 4.50467i 0.115075 + 0.316166i
\(204\) 1.85266 3.97304i 0.129712 0.278168i
\(205\) −18.1352 + 4.04300i −1.26662 + 0.282375i
\(206\) 9.34492 1.64776i 0.651091 0.114805i
\(207\) −2.33961 + 0.412537i −0.162614 + 0.0286733i
\(208\) 2.82251 4.88873i 0.195706 0.338973i
\(209\) 2.10883 + 24.1040i 0.145871 + 1.66731i
\(210\) −5.32938 5.80219i −0.367762 0.400389i
\(211\) 3.97258 + 6.88071i 0.273484 + 0.473688i 0.969751 0.244095i \(-0.0784907\pi\)
−0.696268 + 0.717782i \(0.745157\pi\)
\(212\) 2.99298 + 11.1699i 0.205559 + 0.767155i
\(213\) −10.5973 0.927146i −0.726117 0.0635270i
\(214\) −1.38458 + 5.16733i −0.0946480 + 0.353231i
\(215\) 3.41896 + 2.61704i 0.233171 + 0.178480i
\(216\) 3.84801 3.84801i 0.261824 0.261824i
\(217\) −2.71533 + 15.3994i −0.184329 + 1.04538i
\(218\) 6.02504 0.527123i 0.408067 0.0357013i
\(219\) −5.23192 14.3746i −0.353540 0.971344i
\(220\) 4.92369 + 5.36051i 0.331955 + 0.361406i
\(221\) 15.1475i 1.01893i
\(222\) 3.47442 + 9.31019i 0.233188 + 0.624859i
\(223\) 11.3674 11.3674i 0.761215 0.761215i −0.215327 0.976542i \(-0.569082\pi\)
0.976542 + 0.215327i \(0.0690817\pi\)
\(224\) −0.911435 1.95458i −0.0608978 0.130596i
\(225\) 0.946196 1.35814i 0.0630797 0.0905425i
\(226\) −9.18273 + 10.9435i −0.610826 + 0.727954i
\(227\) 1.32414 + 0.233482i 0.0878865 + 0.0154968i 0.217418 0.976078i \(-0.430236\pi\)
−0.129532 + 0.991575i \(0.541347\pi\)
\(228\) −12.1438 −0.804241
\(229\) −10.8578 1.91452i −0.717504 0.126515i −0.197035 0.980396i \(-0.563131\pi\)
−0.520468 + 0.853881i \(0.674243\pi\)
\(230\) 16.0306 0.718920i 1.05703 0.0474042i
\(231\) −8.78545 + 7.37186i −0.578040 + 0.485033i
\(232\) 2.14706 0.575303i 0.140961 0.0377705i
\(233\) −4.68178 + 17.4727i −0.306714 + 1.14467i 0.624746 + 0.780828i \(0.285202\pi\)
−0.931460 + 0.363844i \(0.881464\pi\)
\(234\) −0.639159 + 1.75607i −0.0417831 + 0.114798i
\(235\) −8.14288 3.36161i −0.531183 0.219287i
\(236\) 0.579878 + 2.16414i 0.0377469 + 0.140873i
\(237\) 3.13812 + 17.7971i 0.203843 + 1.15605i
\(238\) 4.74044 + 3.31929i 0.307277 + 0.215158i
\(239\) 1.58820 18.1532i 0.102732 1.17423i −0.753432 0.657526i \(-0.771603\pi\)
0.856164 0.516705i \(-0.172841\pi\)
\(240\) −2.89552 + 2.22726i −0.186905 + 0.143769i
\(241\) −2.36296 1.10186i −0.152211 0.0709773i 0.345020 0.938595i \(-0.387872\pi\)
−0.497231 + 0.867618i \(0.665650\pi\)
\(242\) −0.309812 + 0.259963i −0.0199155 + 0.0167111i
\(243\) −1.96394 + 2.80480i −0.125987 + 0.179928i
\(244\) −6.37390 4.46305i −0.408047 0.285718i
\(245\) −4.42642 + 2.82731i −0.282794 + 0.180630i
\(246\) −13.5234 + 1.18314i −0.862218 + 0.0754343i
\(247\) 38.0298 17.7336i 2.41978 1.12836i
\(248\) 7.00357 + 1.87660i 0.444727 + 0.119164i
\(249\) 10.2501 17.7537i 0.649574 1.12510i
\(250\) −7.52401 + 8.26978i −0.475860 + 0.523027i
\(251\) 6.62532 + 1.77525i 0.418187 + 0.112053i 0.461776 0.886997i \(-0.347213\pi\)
−0.0435889 + 0.999050i \(0.513879\pi\)
\(252\) 0.409506 + 0.584835i 0.0257964 + 0.0368411i
\(253\) 23.3595i 1.46860i
\(254\) −4.76618 + 3.33732i −0.299057 + 0.209402i
\(255\) 3.74049 9.06066i 0.234239 0.567401i
\(256\) −0.939693 + 0.342020i −0.0587308 + 0.0213763i
\(257\) 2.71790 7.46736i 0.169538 0.465801i −0.825604 0.564249i \(-0.809166\pi\)
0.995142 + 0.0984483i \(0.0313879\pi\)
\(258\) 2.22435 + 2.22435i 0.138482 + 0.138482i
\(259\) −12.9001 + 2.38270i −0.801574 + 0.148053i
\(260\) 5.81524 11.2033i 0.360646 0.694800i
\(261\) −0.666910 + 0.310985i −0.0412807 + 0.0192495i
\(262\) 3.59325 7.70575i 0.221992 0.476063i
\(263\) 1.80326 + 20.6114i 0.111194 + 1.27095i 0.822783 + 0.568356i \(0.192420\pi\)
−0.711589 + 0.702596i \(0.752024\pi\)
\(264\) 3.05017 + 4.35609i 0.187725 + 0.268099i
\(265\) 7.80478 + 24.6518i 0.479444 + 1.51435i
\(266\) 2.78375 15.7874i 0.170683 0.967990i
\(267\) −9.81290 + 5.66548i −0.600540 + 0.346722i
\(268\) 1.24470 14.2270i 0.0760321 0.869051i
\(269\) −15.8079 9.12667i −0.963822 0.556463i −0.0664748 0.997788i \(-0.521175\pi\)
−0.897347 + 0.441325i \(0.854509\pi\)
\(270\) 8.21028 8.98127i 0.499662 0.546582i
\(271\) 10.9404 + 3.98197i 0.664580 + 0.241887i 0.652212 0.758036i \(-0.273841\pi\)
0.0123675 + 0.999924i \(0.496063\pi\)
\(272\) 1.72482 2.05556i 0.104583 0.124637i
\(273\) 17.2244 + 9.94451i 1.04247 + 0.601869i
\(274\) −5.28348 + 7.54559i −0.319187 + 0.455846i
\(275\) 11.5357 + 11.4812i 0.695627 + 0.692342i
\(276\) 11.6793 + 1.02180i 0.703009 + 0.0615053i
\(277\) −9.01484 + 3.28113i −0.541649 + 0.197144i −0.598332 0.801248i \(-0.704170\pi\)
0.0566831 + 0.998392i \(0.481948\pi\)
\(278\) −7.88458 + 2.86975i −0.472886 + 0.172116i
\(279\) −2.39118 0.209201i −0.143156 0.0125245i
\(280\) −2.23179 4.27487i −0.133375 0.255473i
\(281\) 5.43255 7.75849i 0.324079 0.462833i −0.623745 0.781628i \(-0.714389\pi\)
0.947823 + 0.318796i \(0.103278\pi\)
\(282\) −5.57399 3.21815i −0.331926 0.191638i
\(283\) 14.2347 16.9642i 0.846164 1.00842i −0.153630 0.988128i \(-0.549096\pi\)
0.999794 0.0202905i \(-0.00645910\pi\)
\(284\) −6.11882 2.22707i −0.363085 0.132152i
\(285\) −27.1270 + 1.21656i −1.60687 + 0.0720627i
\(286\) −15.9132 9.18751i −0.940969 0.543269i
\(287\) 1.56186 17.8522i 0.0921940 1.05378i
\(288\) 0.286696 0.165524i 0.0168937 0.00975361i
\(289\) 1.70169 9.65078i 0.100100 0.567693i
\(290\) 4.73852 1.50022i 0.278255 0.0880957i
\(291\) −15.4927 22.1259i −0.908201 1.29705i
\(292\) −0.816084 9.32789i −0.0477577 0.545873i
\(293\) −12.7902 + 27.4287i −0.747212 + 1.60240i 0.0500354 + 0.998747i \(0.484067\pi\)
−0.797247 + 0.603653i \(0.793711\pi\)
\(294\) −3.47786 + 1.62175i −0.202833 + 0.0945826i
\(295\) 1.51215 + 4.77620i 0.0880406 + 0.278081i
\(296\) 0.579285 + 6.05512i 0.0336703 + 0.351946i
\(297\) −12.5256 12.5256i −0.726809 0.726809i
\(298\) −0.525730 + 1.44443i −0.0304547 + 0.0836737i
\(299\) −38.0673 + 13.8554i −2.20149 + 0.801277i
\(300\) −6.24496 + 5.26538i −0.360553 + 0.303997i
\(301\) −3.40165 + 2.38186i −0.196068 + 0.137288i
\(302\) 1.85848i 0.106943i
\(303\) 2.39708 + 3.42339i 0.137709 + 0.196669i
\(304\) −7.18004 1.92389i −0.411803 0.110342i
\(305\) −14.6853 9.33113i −0.840876 0.534299i
\(306\) −0.444159 + 0.769305i −0.0253909 + 0.0439783i
\(307\) 4.63027 + 1.24068i 0.264263 + 0.0708091i 0.388518 0.921441i \(-0.372987\pi\)
−0.124254 + 0.992250i \(0.539654\pi\)
\(308\) −6.36232 + 2.96680i −0.362527 + 0.169049i
\(309\) 15.4432 1.35111i 0.878536 0.0768619i
\(310\) 15.8327 + 3.49038i 0.899239 + 0.198240i
\(311\) −1.51532 1.06104i −0.0859259 0.0601659i 0.529824 0.848108i \(-0.322258\pi\)
−0.615750 + 0.787942i \(0.711147\pi\)
\(312\) 5.28965 7.55441i 0.299468 0.427684i
\(313\) −10.0698 + 8.44954i −0.569177 + 0.477596i −0.881373 0.472421i \(-0.843380\pi\)
0.312196 + 0.950018i \(0.398936\pi\)
\(314\) 9.27212 + 4.32366i 0.523256 + 0.243998i
\(315\) 0.973352 + 1.26539i 0.0548422 + 0.0712969i
\(316\) −0.964105 + 11.0198i −0.0542352 + 0.619911i
\(317\) −7.73183 5.41389i −0.434263 0.304074i 0.335928 0.941888i \(-0.390950\pi\)
−0.770191 + 0.637813i \(0.779839\pi\)
\(318\) 3.28056 + 18.6050i 0.183965 + 1.04332i
\(319\) −1.87266 6.98886i −0.104849 0.391301i
\(320\) −2.06484 + 0.858150i −0.115428 + 0.0479721i
\(321\) −2.98913 + 8.21256i −0.166837 + 0.458380i
\(322\) −4.00566 + 14.9493i −0.223227 + 0.833094i
\(323\) 19.2665 5.16245i 1.07202 0.287246i
\(324\) 6.04965 5.07626i 0.336092 0.282015i
\(325\) 11.8679 25.6088i 0.658311 1.42052i
\(326\) −11.2274 1.97969i −0.621826 0.109645i
\(327\) 9.88066 0.546402
\(328\) −8.18317 1.44291i −0.451840 0.0796716i
\(329\) 5.46148 6.50874i 0.301101 0.358838i
\(330\) 7.24993 + 9.42517i 0.399095 + 0.518839i
\(331\) 6.07814 + 13.0346i 0.334085 + 0.716447i 0.999550 0.0299813i \(-0.00954477\pi\)
−0.665466 + 0.746428i \(0.731767\pi\)
\(332\) 8.87305 8.87305i 0.486972 0.486972i
\(333\) −0.536942 1.94078i −0.0294242 0.106354i
\(334\) 5.32394i 0.291313i
\(335\) 1.35518 31.9052i 0.0740416 1.74317i
\(336\) −1.20503 3.31080i −0.0657400 0.180619i
\(337\) 34.8751 3.05117i 1.89977 0.166208i 0.923618 0.383314i \(-0.125217\pi\)
0.976148 + 0.217106i \(0.0696616\pi\)
\(338\) −3.27609 + 18.5796i −0.178196 + 1.01060i
\(339\) −16.5029 + 16.5029i −0.896313 + 0.896313i
\(340\) 3.64702 4.76455i 0.197787 0.258394i
\(341\) 6.10849 22.7972i 0.330793 1.23454i
\(342\) 2.45143 + 0.214472i 0.132558 + 0.0115973i
\(343\) −5.21837 19.4752i −0.281765 1.05156i
\(344\) 0.962761 + 1.66755i 0.0519086 + 0.0899083i
\(345\) 26.1918 + 1.11250i 1.41012 + 0.0598951i
\(346\) 0.600713 + 6.86618i 0.0322945 + 0.369128i
\(347\) 6.93808 12.0171i 0.372455 0.645112i −0.617487 0.786581i \(-0.711849\pi\)
0.989943 + 0.141469i \(0.0451826\pi\)
\(348\) 3.57620 0.630581i 0.191705 0.0338027i
\(349\) 21.8940 3.86050i 1.17196 0.206648i 0.446417 0.894825i \(-0.352700\pi\)
0.725543 + 0.688177i \(0.241589\pi\)
\(350\) −5.41368 9.32573i −0.289374 0.498481i
\(351\) −12.9827 + 27.8415i −0.692965 + 1.48607i
\(352\) 1.11330 + 3.05878i 0.0593393 + 0.163033i
\(353\) 3.07021 + 3.65894i 0.163411 + 0.194746i 0.841536 0.540201i \(-0.181652\pi\)
−0.678125 + 0.734946i \(0.737207\pi\)
\(354\) 0.635596 + 3.60464i 0.0337816 + 0.191585i
\(355\) −13.8915 4.36189i −0.737282 0.231505i
\(356\) −6.69947 + 1.79512i −0.355071 + 0.0951410i
\(357\) 7.24233 + 6.07704i 0.383305 + 0.321631i
\(358\) 4.65387 + 9.98025i 0.245965 + 0.527473i
\(359\) −18.6416 + 10.7627i −0.983865 + 0.568035i −0.903435 0.428726i \(-0.858963\pi\)
−0.0804300 + 0.996760i \(0.525629\pi\)
\(360\) 0.623847 0.398473i 0.0328796 0.0210014i
\(361\) −23.3038 27.7724i −1.22652 1.46171i
\(362\) 5.46883 + 9.47229i 0.287435 + 0.497852i
\(363\) −0.541227 + 0.378971i −0.0284070 + 0.0198908i
\(364\) 8.60851 + 8.60851i 0.451208 + 0.451208i
\(365\) −2.75745 20.7551i −0.144332 1.08637i
\(366\) −9.73789 8.17106i −0.509008 0.427108i
\(367\) −17.2062 8.02338i −0.898156 0.418817i −0.0819892 0.996633i \(-0.526127\pi\)
−0.816167 + 0.577816i \(0.803905\pi\)
\(368\) 6.74352 + 2.45444i 0.351530 + 0.127947i
\(369\) 2.75082 0.143202
\(370\) 1.90062 + 13.4680i 0.0988085 + 0.700169i
\(371\) −24.9393 −1.29479
\(372\) 11.1309 + 4.05133i 0.577112 + 0.210052i
\(373\) 8.64616 + 4.03177i 0.447681 + 0.208757i 0.633366 0.773852i \(-0.281673\pi\)
−0.185685 + 0.982609i \(0.559450\pi\)
\(374\) −6.69103 5.61444i −0.345985 0.290316i
\(375\) −13.4227 + 12.3876i −0.693143 + 0.639690i
\(376\) −2.78580 2.78580i −0.143667 0.143667i
\(377\) −10.2785 + 7.19709i −0.529370 + 0.370669i
\(378\) 5.86812 + 10.1639i 0.301823 + 0.522773i
\(379\) −11.9289 14.2163i −0.612747 0.730243i 0.367059 0.930198i \(-0.380365\pi\)
−0.979805 + 0.199955i \(0.935920\pi\)
\(380\) −16.2317 3.57833i −0.832667 0.183564i
\(381\) −8.23204 + 4.75277i −0.421740 + 0.243492i
\(382\) 6.54503 + 14.0359i 0.334873 + 0.718138i
\(383\) −10.8772 9.12706i −0.555800 0.466371i 0.321100 0.947045i \(-0.395948\pi\)
−0.876899 + 0.480674i \(0.840392\pi\)
\(384\) −1.57803 + 0.422831i −0.0805283 + 0.0215775i
\(385\) −13.9151 + 7.26467i −0.709178 + 0.370242i
\(386\) 1.71401 + 9.72064i 0.0872409 + 0.494768i
\(387\) −0.409739 0.488308i −0.0208282 0.0248221i
\(388\) −5.65481 15.5365i −0.287080 0.788745i
\(389\) 11.1260 23.8598i 0.564111 1.20974i −0.392871 0.919594i \(-0.628518\pi\)
0.956982 0.290147i \(-0.0937041\pi\)
\(390\) 11.0593 17.4051i 0.560012 0.881343i
\(391\) −18.9640 + 3.34386i −0.959049 + 0.169106i
\(392\) −2.31323 + 0.407884i −0.116836 + 0.0206013i
\(393\) 6.94511 12.0293i 0.350335 0.606797i
\(394\) −1.27032 14.5198i −0.0639977 0.731497i
\(395\) −1.04968 + 24.7128i −0.0528153 + 1.24344i
\(396\) −0.538795 0.933220i −0.0270755 0.0468961i
\(397\) −6.07219 22.6617i −0.304755 1.13736i −0.933156 0.359471i \(-0.882957\pi\)
0.628402 0.777889i \(-0.283709\pi\)
\(398\) 26.0981 + 2.28329i 1.30818 + 0.114451i
\(399\) 6.77840 25.2973i 0.339344 1.26645i
\(400\) −4.52652 + 2.12381i −0.226326 + 0.106191i
\(401\) 8.10232 8.10232i 0.404611 0.404611i −0.475244 0.879854i \(-0.657640\pi\)
0.879854 + 0.475244i \(0.157640\pi\)
\(402\) 4.05143 22.9768i 0.202067 1.14598i
\(403\) −40.7742 + 3.56728i −2.03111 + 0.177699i
\(404\) 0.874930 + 2.40385i 0.0435294 + 0.119596i
\(405\) 13.0053 11.9455i 0.646239 0.593578i
\(406\) 4.79377i 0.237911i
\(407\) 19.7099 1.88562i 0.976984 0.0934668i
\(408\) 3.09979 3.09979i 0.153462 0.153462i
\(409\) −1.81884 3.90052i −0.0899359 0.192868i 0.856195 0.516653i \(-0.172822\pi\)
−0.946131 + 0.323785i \(0.895045\pi\)
\(410\) −18.4243 2.40343i −0.909911 0.118697i
\(411\) −9.67312 + 11.5280i −0.477140 + 0.568633i
\(412\) 9.34492 + 1.64776i 0.460391 + 0.0811794i
\(413\) −4.83190 −0.237762
\(414\) −2.33961 0.412537i −0.114986 0.0202751i
\(415\) 18.9319 20.7097i 0.929332 1.01660i
\(416\) 4.32434 3.62855i 0.212018 0.177904i
\(417\) −13.2406 + 3.54780i −0.648394 + 0.173737i
\(418\) −6.26241 + 23.3716i −0.306304 + 1.14314i
\(419\) 0.155965 0.428509i 0.00761937 0.0209340i −0.935825 0.352466i \(-0.885343\pi\)
0.943444 + 0.331532i \(0.107565\pi\)
\(420\) −3.02351 7.27503i −0.147532 0.354985i
\(421\) 1.88314 + 7.02798i 0.0917787 + 0.342523i 0.996511 0.0834570i \(-0.0265961\pi\)
−0.904733 + 0.425980i \(0.859929\pi\)
\(422\) 1.37966 + 7.82445i 0.0671609 + 0.380888i
\(423\) 1.06837 + 0.748080i 0.0519459 + 0.0363729i
\(424\) −1.00787 + 11.5200i −0.0489464 + 0.559459i
\(425\) 7.66949 11.0085i 0.372025 0.533992i
\(426\) −9.64112 4.49573i −0.467114 0.217819i
\(427\) 12.8550 10.7866i 0.622097 0.522001i
\(428\) −3.06841 + 4.38215i −0.148317 + 0.211819i
\(429\) −24.5902 17.2183i −1.18723 0.831306i
\(430\) 2.31769 + 3.62856i 0.111769 + 0.174985i
\(431\) 5.42467 0.474598i 0.261297 0.0228606i 0.0442457 0.999021i \(-0.485912\pi\)
0.217052 + 0.976160i \(0.430356\pi\)
\(432\) 4.93204 2.29985i 0.237293 0.110652i
\(433\) −14.7219 3.94471i −0.707487 0.189571i −0.112905 0.993606i \(-0.536016\pi\)
−0.594582 + 0.804035i \(0.702682\pi\)
\(434\) −7.81849 + 13.5420i −0.375300 + 0.650038i
\(435\) 7.92543 1.76687i 0.379995 0.0847149i
\(436\) 5.84197 + 1.56535i 0.279780 + 0.0749668i
\(437\) 30.5967 + 43.6967i 1.46364 + 2.09030i
\(438\) 15.2971i 0.730924i
\(439\) 27.6402 19.3539i 1.31920 0.923711i 0.319481 0.947593i \(-0.396491\pi\)
0.999715 + 0.0238815i \(0.00760245\pi\)
\(440\) 2.79335 + 6.72124i 0.133168 + 0.320422i
\(441\) 0.730708 0.265956i 0.0347956 0.0126646i
\(442\) −5.18077 + 14.2340i −0.246424 + 0.677044i
\(443\) −4.88464 4.88464i −0.232076 0.232076i 0.581483 0.813559i \(-0.302473\pi\)
−0.813559 + 0.581483i \(0.802473\pi\)
\(444\) 0.0806108 + 9.93704i 0.00382562 + 0.471591i
\(445\) −14.7856 + 4.68112i −0.700904 + 0.221906i
\(446\) 14.5697 6.79396i 0.689895 0.321703i
\(447\) −1.06128 + 2.27592i −0.0501968 + 0.107647i
\(448\) −0.187963 2.14843i −0.00888044 0.101504i
\(449\) −16.9949 24.2712i −0.802039 1.14543i −0.986688 0.162625i \(-0.948004\pi\)
0.184649 0.982804i \(-0.440885\pi\)
\(450\) 1.35364 0.952614i 0.0638114 0.0449067i
\(451\) −4.69680 + 26.6369i −0.221164 + 1.25428i
\(452\) −12.3719 + 7.14289i −0.581923 + 0.335974i
\(453\) 0.264621 3.02463i 0.0124330 0.142110i
\(454\) 1.16443 + 0.672285i 0.0546495 + 0.0315519i
\(455\) 20.0923 + 18.3675i 0.941941 + 0.861081i
\(456\) −11.4114 4.15341i −0.534388 0.194501i
\(457\) −8.43136 + 10.0481i −0.394402 + 0.470030i −0.926305 0.376775i \(-0.877033\pi\)
0.531902 + 0.846806i \(0.321477\pi\)
\(458\) −9.54819 5.51265i −0.446158 0.257589i
\(459\) −8.37566 + 11.9617i −0.390943 + 0.558324i
\(460\) 15.3097 + 4.80722i 0.713819 + 0.224138i
\(461\) −14.2682 1.24830i −0.664535 0.0581393i −0.250103 0.968219i \(-0.580464\pi\)
−0.414433 + 0.910080i \(0.636020\pi\)
\(462\) −10.7769 + 3.92249i −0.501389 + 0.182491i
\(463\) 19.1873 6.98362i 0.891711 0.324556i 0.144785 0.989463i \(-0.453751\pi\)
0.746926 + 0.664907i \(0.231529\pi\)
\(464\) 2.21434 + 0.193730i 0.102798 + 0.00899367i
\(465\) 25.2704 + 7.93486i 1.17189 + 0.367970i
\(466\) −10.3754 + 14.8177i −0.480633 + 0.686415i
\(467\) 4.86153 + 2.80681i 0.224965 + 0.129884i 0.608247 0.793748i \(-0.291873\pi\)
−0.383282 + 0.923631i \(0.625206\pi\)
\(468\) −1.20123 + 1.43156i −0.0555267 + 0.0661741i
\(469\) 28.9422 + 10.5341i 1.33643 + 0.486419i
\(470\) −6.50207 5.94391i −0.299918 0.274172i
\(471\) 14.4745 + 8.35687i 0.666951 + 0.385064i
\(472\) −0.195271 + 2.23195i −0.00898805 + 0.102734i
\(473\) 5.42802 3.13387i 0.249580 0.144095i
\(474\) −3.13812 + 17.7971i −0.144138 + 0.817450i
\(475\) −36.6171 6.36726i −1.68011 0.292150i
\(476\) 3.31929 + 4.74044i 0.152139 + 0.217278i
\(477\) −0.333653 3.81367i −0.0152769 0.174616i
\(478\) 7.70116 16.5152i 0.352243 0.755388i
\(479\) −14.0792 + 6.56523i −0.643294 + 0.299973i −0.716755 0.697325i \(-0.754373\pi\)
0.0734610 + 0.997298i \(0.476596\pi\)
\(480\) −3.48267 + 1.10262i −0.158961 + 0.0503273i
\(481\) −14.7635 31.0014i −0.673160 1.41354i
\(482\) −1.84359 1.84359i −0.0839733 0.0839733i
\(483\) −8.64769 + 23.7593i −0.393484 + 1.08109i
\(484\) −0.380041 + 0.138324i −0.0172746 + 0.00628743i
\(485\) −14.1883 34.1392i −0.644257 1.55018i
\(486\) −2.80480 + 1.96394i −0.127228 + 0.0890862i
\(487\) 6.66481i 0.302012i 0.988533 + 0.151006i \(0.0482512\pi\)
−0.988533 + 0.151006i \(0.951749\pi\)
\(488\) −4.46305 6.37390i −0.202033 0.288533i
\(489\) −17.9904 4.82051i −0.813553 0.217991i
\(490\) −5.12647 + 1.14288i −0.231590 + 0.0516300i
\(491\) −12.4603 + 21.5819i −0.562327 + 0.973979i 0.434966 + 0.900447i \(0.356760\pi\)
−0.997293 + 0.0735319i \(0.976573\pi\)
\(492\) −13.1125 3.51347i −0.591155 0.158400i
\(493\) −5.40571 + 2.52072i −0.243461 + 0.113528i
\(494\) 41.8016 3.65717i 1.88074 0.164544i
\(495\) −1.29706 2.03067i −0.0582986 0.0912720i
\(496\) 5.93937 + 4.15879i 0.266685 + 0.186735i
\(497\) 8.05472 11.5033i 0.361303 0.515995i
\(498\) 15.7041 13.1773i 0.703716 0.590488i
\(499\) 27.6146 + 12.8769i 1.23620 + 0.576449i 0.927184 0.374607i \(-0.122222\pi\)
0.309016 + 0.951057i \(0.400000\pi\)
\(500\) −9.89869 + 5.19768i −0.442683 + 0.232447i
\(501\) 0.758052 8.66458i 0.0338673 0.387105i
\(502\) 5.61860 + 3.93418i 0.250770 + 0.175591i
\(503\) 1.28041 + 7.26155i 0.0570905 + 0.323776i 0.999956 0.00939765i \(-0.00299141\pi\)
−0.942865 + 0.333174i \(0.891880\pi\)
\(504\) 0.184784 + 0.689624i 0.00823095 + 0.0307183i
\(505\) 2.19526 + 5.28213i 0.0976876 + 0.235052i
\(506\) 7.98941 21.9507i 0.355173 0.975829i
\(507\) −7.97723 + 29.7714i −0.354281 + 1.32220i
\(508\) −5.62018 + 1.50592i −0.249355 + 0.0668145i
\(509\) −23.1483 + 19.4238i −1.02603 + 0.860943i −0.990373 0.138421i \(-0.955797\pi\)
−0.0356582 + 0.999364i \(0.511353\pi\)
\(510\) 6.61384 7.23491i 0.292866 0.320367i
\(511\) 19.8869 + 3.50660i 0.879746 + 0.155123i
\(512\) −1.00000 −0.0441942
\(513\) 39.8369 + 7.02432i 1.75884 + 0.310131i
\(514\) 5.10797 6.08745i 0.225303 0.268506i
\(515\) 21.0400 + 2.74464i 0.927132 + 0.120943i
\(516\) 1.32943 + 2.85098i 0.0585251 + 0.125507i
\(517\) −9.06802 + 9.06802i −0.398811 + 0.398811i
\(518\) −12.9371 2.17310i −0.568423 0.0954805i
\(519\) 11.2601i 0.494262i
\(520\) 9.29629 8.53875i 0.407669 0.374449i
\(521\) −0.128336 0.352600i −0.00562250 0.0154477i 0.936850 0.349732i \(-0.113728\pi\)
−0.942472 + 0.334285i \(0.891505\pi\)
\(522\) −0.733054 + 0.0641339i −0.0320849 + 0.00280706i
\(523\) 0.703326 3.98876i 0.0307543 0.174416i −0.965562 0.260174i \(-0.916220\pi\)
0.996316 + 0.0857578i \(0.0273311\pi\)
\(524\) 6.01207 6.01207i 0.262638 0.262638i
\(525\) −7.48279 15.9482i −0.326576 0.696038i
\(526\) −5.35499 + 19.9851i −0.233489 + 0.871392i
\(527\) −19.3819 1.69570i −0.844289 0.0738657i
\(528\) 1.37635 + 5.13661i 0.0598979 + 0.223542i
\(529\) −14.2497 24.6812i −0.619551 1.07309i
\(530\) −1.09733 + 25.8345i −0.0476650 + 1.12218i
\(531\) −0.0646440 0.738884i −0.00280531 0.0320648i
\(532\) 8.01550 13.8832i 0.347516 0.601915i
\(533\) 46.1942 8.14528i 2.00089 0.352811i
\(534\) −11.1588 + 1.96760i −0.482889 + 0.0851464i
\(535\) −6.41529 + 10.0963i −0.277357 + 0.436502i
\(536\) 6.03555 12.9433i 0.260696 0.559064i
\(537\) 6.15301 + 16.9053i 0.265522 + 0.729516i
\(538\) −11.7330 13.9829i −0.505846 0.602844i
\(539\) 1.32770 + 7.52974i 0.0571879 + 0.324329i
\(540\) 10.7869 5.63155i 0.464195 0.242343i
\(541\) 6.68419 1.79102i 0.287376 0.0770021i −0.112252 0.993680i \(-0.535806\pi\)
0.399627 + 0.916678i \(0.369140\pi\)
\(542\) 8.91867 + 7.48365i 0.383090 + 0.321450i
\(543\) 7.55167 + 16.1946i 0.324073 + 0.694977i
\(544\) 2.32385 1.34167i 0.0996341 0.0575238i
\(545\) 13.2067 + 2.91147i 0.565715 + 0.124714i
\(546\) 12.7844 + 15.2359i 0.547122 + 0.652035i
\(547\) 5.54515 + 9.60448i 0.237093 + 0.410658i 0.959879 0.280414i \(-0.0904719\pi\)
−0.722786 + 0.691072i \(0.757139\pi\)
\(548\) −7.54559 + 5.28348i −0.322332 + 0.225699i
\(549\) 1.82145 + 1.82145i 0.0777376 + 0.0777376i
\(550\) 6.91318 + 14.7342i 0.294779 + 0.628269i
\(551\) 12.6572 + 10.6206i 0.539214 + 0.452454i
\(552\) 10.6254 + 4.95472i 0.452249 + 0.210887i
\(553\) −22.4177 8.15939i −0.953299 0.346972i
\(554\) −9.59339 −0.407584
\(555\) 1.17556 + 22.1895i 0.0498997 + 0.941892i
\(556\) −8.39059 −0.355840
\(557\) 23.6737 + 8.61652i 1.00309 + 0.365094i 0.790774 0.612108i \(-0.209678\pi\)
0.212313 + 0.977202i \(0.431901\pi\)
\(558\) −2.17542 1.01441i −0.0920928 0.0429436i
\(559\) −8.32660 6.98685i −0.352178 0.295512i
\(560\) −0.635106 4.78039i −0.0268381 0.202008i
\(561\) −10.0901 10.0901i −0.426003 0.426003i
\(562\) 7.75849 5.43255i 0.327272 0.229158i
\(563\) −13.0982 22.6868i −0.552024 0.956133i −0.998128 0.0611522i \(-0.980522\pi\)
0.446105 0.894981i \(-0.352811\pi\)
\(564\) −4.13717 4.93049i −0.174206 0.207611i
\(565\) −26.9210 + 17.1954i −1.13257 + 0.723415i
\(566\) 19.1783 11.0726i 0.806125 0.465417i
\(567\) 7.19784 + 15.4358i 0.302281 + 0.648243i
\(568\) −4.98811 4.18552i −0.209296 0.175620i
\(569\) 37.1193 9.94609i 1.55612 0.416962i 0.624690 0.780873i \(-0.285225\pi\)
0.931434 + 0.363911i \(0.118559\pi\)
\(570\) −25.9071 8.13480i −1.08513 0.340729i
\(571\) −0.672894 3.81617i −0.0281598 0.159702i 0.967485 0.252927i \(-0.0813934\pi\)
−0.995645 + 0.0932255i \(0.970282\pi\)
\(572\) −11.8112 14.0761i −0.493852 0.588550i
\(573\) 8.65338 + 23.7750i 0.361500 + 0.993213i
\(574\) 7.57348 16.2414i 0.316111 0.677902i
\(575\) 34.6808 + 9.20476i 1.44629 + 0.383865i
\(576\) 0.326019 0.0574859i 0.0135841 0.00239525i
\(577\) 18.1814 3.20587i 0.756900 0.133462i 0.218136 0.975918i \(-0.430002\pi\)
0.538764 + 0.842456i \(0.318891\pi\)
\(578\) 4.89983 8.48675i 0.203806 0.353002i
\(579\) 1.40543 + 16.0642i 0.0584078 + 0.667604i
\(580\) 4.96585 + 0.210926i 0.206196 + 0.00875822i
\(581\) 13.5312 + 23.4367i 0.561368 + 0.972317i
\(582\) −6.99090 26.0904i −0.289782 1.08148i
\(583\) 37.4985 + 3.28069i 1.55303 + 0.135872i
\(584\) 2.42346 9.04446i 0.100283 0.374263i
\(585\) −2.53991 + 3.31820i −0.105012 + 0.137191i
\(586\) −21.4000 + 21.4000i −0.884027 + 0.884027i
\(587\) −3.07072 + 17.4149i −0.126742 + 0.718791i 0.853516 + 0.521067i \(0.174466\pi\)
−0.980258 + 0.197724i \(0.936645\pi\)
\(588\) −3.82280 + 0.334451i −0.157649 + 0.0137925i
\(589\) 18.4336 + 50.6459i 0.759544 + 2.08683i
\(590\) −0.212604 + 5.00535i −0.00875275 + 0.206067i
\(591\) 23.8115i 0.979475i
\(592\) −1.52662 + 5.88807i −0.0627438 + 0.241998i
\(593\) −32.8202 + 32.8202i −1.34776 + 1.34776i −0.459675 + 0.888087i \(0.652034\pi\)
−0.888087 + 0.459675i \(0.847966\pi\)
\(594\) −7.48620 16.0542i −0.307163 0.658713i
\(595\) 7.88960 + 10.2568i 0.323442 + 0.420487i
\(596\) −0.988049 + 1.17751i −0.0404721 + 0.0482327i
\(597\) 42.1489 + 7.43199i 1.72504 + 0.304171i
\(598\) −40.5104 −1.65659
\(599\) −6.49221 1.14475i −0.265265 0.0467733i 0.0394338 0.999222i \(-0.487445\pi\)
−0.304698 + 0.952449i \(0.598556\pi\)
\(600\) −7.66921 + 2.81194i −0.313094 + 0.114797i
\(601\) 24.7689 20.7836i 1.01034 0.847780i 0.0219610 0.999759i \(-0.493009\pi\)
0.988384 + 0.151979i \(0.0485646\pi\)
\(602\) −4.01115 + 1.07479i −0.163482 + 0.0438050i
\(603\) −1.22365 + 4.56671i −0.0498307 + 0.185971i
\(604\) 0.635637 1.74640i 0.0258637 0.0710600i
\(605\) −0.835087 + 0.347063i −0.0339511 + 0.0141101i
\(606\) 1.08165 + 4.03679i 0.0439392 + 0.163983i
\(607\) 1.35378 + 7.67767i 0.0549483 + 0.311627i 0.999878 0.0156474i \(-0.00498093\pi\)
−0.944929 + 0.327275i \(0.893870\pi\)
\(608\) −6.08902 4.26358i −0.246942 0.172911i
\(609\) −0.682565 + 7.80175i −0.0276589 + 0.316143i
\(610\) −10.6082 13.7911i −0.429514 0.558384i
\(611\) 20.1561 + 9.39895i 0.815429 + 0.380241i
\(612\) −0.680491 + 0.570999i −0.0275072 + 0.0230813i
\(613\) 5.22617 7.46374i 0.211083 0.301458i −0.699624 0.714512i \(-0.746649\pi\)
0.910707 + 0.413054i \(0.135538\pi\)
\(614\) 3.92669 + 2.74950i 0.158468 + 0.110961i
\(615\) −29.6429 6.53488i −1.19532 0.263512i
\(616\) −6.99333 + 0.611837i −0.281769 + 0.0246516i
\(617\) 16.3581 7.62791i 0.658553 0.307088i −0.0644626 0.997920i \(-0.520533\pi\)
0.723015 + 0.690832i \(0.242756\pi\)
\(618\) 14.9740 + 4.01227i 0.602343 + 0.161397i
\(619\) −12.8889 + 22.3242i −0.518049 + 0.897287i 0.481731 + 0.876319i \(0.340008\pi\)
−0.999780 + 0.0209681i \(0.993325\pi\)
\(620\) 13.6841 + 8.69500i 0.549567 + 0.349199i
\(621\) −37.7221 10.1076i −1.51374 0.405604i
\(622\) −1.06104 1.51532i −0.0425437 0.0607588i
\(623\) 14.9580i 0.599280i
\(624\) 7.55441 5.28965i 0.302418 0.211756i
\(625\) −21.5912 + 12.6024i −0.863649 + 0.504094i
\(626\) −12.3524 + 4.49591i −0.493701 + 0.179693i
\(627\) −13.5197 + 37.1451i −0.539925 + 1.48343i
\(628\) 7.23417 + 7.23417i 0.288675 + 0.288675i
\(629\) −4.35224 15.7312i −0.173535 0.627244i
\(630\) 0.481862 + 1.52199i 0.0191978 + 0.0606374i
\(631\) 31.7911 14.8244i 1.26559 0.590152i 0.330243 0.943896i \(-0.392869\pi\)
0.935342 + 0.353744i \(0.115092\pi\)
\(632\) −4.67495 + 10.0255i −0.185959 + 0.398791i
\(633\) 1.13128 + 12.9306i 0.0449642 + 0.513943i
\(634\) −5.41389 7.73183i −0.215013 0.307070i
\(635\) −12.4036 + 3.92699i −0.492223 + 0.155838i
\(636\) −3.28056 + 18.6050i −0.130083 + 0.737735i
\(637\) 11.4832 6.62982i 0.454981 0.262683i
\(638\) 0.630606 7.20786i 0.0249659 0.285362i
\(639\) 1.86683 + 1.07781i 0.0738505 + 0.0426376i
\(640\) −2.23382 + 0.100180i −0.0882996 + 0.00395995i
\(641\) −20.5924 7.49501i −0.813350 0.296035i −0.0983429 0.995153i \(-0.531354\pi\)
−0.715007 + 0.699118i \(0.753576\pi\)
\(642\) −5.61772 + 6.69494i −0.221714 + 0.264228i
\(643\) 12.5798 + 7.26295i 0.496099 + 0.286423i 0.727101 0.686530i \(-0.240867\pi\)
−0.231002 + 0.972953i \(0.574200\pi\)
\(644\) −8.87707 + 12.6778i −0.349806 + 0.499574i
\(645\) 3.25533 + 6.23540i 0.128179 + 0.245519i
\(646\) 19.8703 + 1.73842i 0.781786 + 0.0683974i
\(647\) 17.2182 6.26692i 0.676918 0.246378i 0.0193945 0.999812i \(-0.493826\pi\)
0.657524 + 0.753434i \(0.271604\pi\)
\(648\) 7.42100 2.70102i 0.291524 0.106106i
\(649\) 7.26519 + 0.635622i 0.285184 + 0.0249503i
\(650\) 19.9109 20.0053i 0.780968 0.784674i
\(651\) −14.6526 + 20.9261i −0.574281 + 0.820158i
\(652\) −9.87318 5.70028i −0.386663 0.223240i
\(653\) 6.53467 7.78772i 0.255721 0.304757i −0.622876 0.782321i \(-0.714036\pi\)
0.878597 + 0.477564i \(0.158480\pi\)
\(654\) 9.28479 + 3.37939i 0.363064 + 0.132144i
\(655\) 12.8276 14.0322i 0.501216 0.548283i
\(656\) −7.19616 4.15470i −0.280963 0.162214i
\(657\) −0.270163 + 3.08798i −0.0105401 + 0.120474i
\(658\) 7.35823 4.24828i 0.286854 0.165615i
\(659\) 1.12962 6.40639i 0.0440037 0.249558i −0.954869 0.297027i \(-0.904005\pi\)
0.998873 + 0.0474699i \(0.0151158\pi\)
\(660\) 3.58910 + 11.3364i 0.139706 + 0.441268i
\(661\) −19.0464 27.2011i −0.740820 1.05800i −0.995845 0.0910659i \(-0.970973\pi\)
0.255025 0.966934i \(-0.417916\pi\)
\(662\) 1.25348 + 14.3274i 0.0487180 + 0.556849i
\(663\) −10.4583 + 22.4279i −0.406166 + 0.871027i
\(664\) 11.3727 5.30318i 0.441347 0.205803i
\(665\) 16.5144 31.8157i 0.640400 1.23376i
\(666\) 0.159226 2.00738i 0.00616989 0.0777845i
\(667\) −11.2794 11.2794i −0.436740 0.436740i
\(668\) 1.82089 5.00286i 0.0704525 0.193567i
\(669\) 24.6792 8.98249i 0.954153 0.347283i
\(670\) 12.1857 29.5176i 0.470774 1.14036i
\(671\) −20.7476 + 14.5276i −0.800951 + 0.560832i
\(672\) 3.52328i 0.135914i
\(673\) −5.89702 8.42182i −0.227313 0.324637i 0.689252 0.724521i \(-0.257939\pi\)
−0.916566 + 0.399884i \(0.869050\pi\)
\(674\) 33.8154 + 9.06081i 1.30252 + 0.349009i
\(675\) 23.5319 13.6605i 0.905743 0.525793i
\(676\) −9.43313 + 16.3387i −0.362813 + 0.628410i
\(677\) −36.6916 9.83150i −1.41017 0.377855i −0.528187 0.849128i \(-0.677128\pi\)
−0.881987 + 0.471273i \(0.843795\pi\)
\(678\) −21.1519 + 9.86331i −0.812336 + 0.378798i
\(679\) 35.5213 3.10771i 1.36318 0.119263i
\(680\) 5.05665 3.22986i 0.193914 0.123860i
\(681\) 1.79936 + 1.25993i 0.0689517 + 0.0482805i
\(682\) 13.5372 19.3331i 0.518367 0.740304i
\(683\) 12.7048 10.6606i 0.486135 0.407916i −0.366504 0.930417i \(-0.619445\pi\)
0.852639 + 0.522501i \(0.175001\pi\)
\(684\) 2.23023 + 1.03997i 0.0852751 + 0.0397644i
\(685\) −16.3262 + 12.5583i −0.623792 + 0.479827i
\(686\) 1.75725 20.0855i 0.0670922 0.766868i
\(687\) −14.7545 10.3312i −0.562920 0.394161i
\(688\) 0.334363 + 1.89627i 0.0127475 + 0.0722945i
\(689\) −16.8954 63.0546i −0.643664 2.40219i
\(690\) 24.2317 + 10.0035i 0.922486 + 0.380828i
\(691\) −13.0662 + 35.8990i −0.497061 + 1.36566i 0.397041 + 0.917801i \(0.370037\pi\)
−0.894102 + 0.447863i \(0.852185\pi\)
\(692\) −1.78389 + 6.65755i −0.0678132 + 0.253082i
\(693\) 2.24479 0.601488i 0.0852723 0.0228487i
\(694\) 10.6297 8.91942i 0.403500 0.338576i
\(695\) −18.7431 + 0.840567i −0.710966 + 0.0318845i
\(696\) 3.57620 + 0.630581i 0.135556 + 0.0239021i
\(697\) 22.2970 0.844560
\(698\) 21.8940 + 3.86050i 0.828700 + 0.146122i
\(699\) −18.9956 + 22.6381i −0.718480 + 0.856251i
\(700\) −1.89761 10.6149i −0.0717230 0.401206i
\(701\) −8.70593 18.6699i −0.328819 0.705154i 0.670506 0.741904i \(-0.266077\pi\)
−0.999324 + 0.0367505i \(0.988299\pi\)
\(702\) −21.7221 + 21.7221i −0.819848 + 0.819848i
\(703\) −34.3999 + 29.3437i −1.29742 + 1.10672i
\(704\) 3.25508i 0.122681i
\(705\) −9.73563 10.5994i −0.366665 0.399195i
\(706\) 1.63363 + 4.48835i 0.0614823 + 0.168921i
\(707\) −5.49596 + 0.480834i −0.206697 + 0.0180836i
\(708\) −0.635596 + 3.60464i −0.0238872 + 0.135471i
\(709\) −14.7742 + 14.7742i −0.554858 + 0.554858i −0.927839 0.372981i \(-0.878336\pi\)
0.372981 + 0.927839i \(0.378336\pi\)
\(710\) −11.5618 8.85000i −0.433908 0.332134i
\(711\) 0.947799 3.53723i 0.0355452 0.132657i
\(712\) −6.90941 0.604495i −0.258941 0.0226544i
\(713\) −13.4671 50.2598i −0.504345 1.88224i
\(714\) 4.72710 + 8.18757i 0.176907 + 0.306412i
\(715\) −27.7943 30.2602i −1.03945 1.13167i
\(716\) 0.959758 + 10.9701i 0.0358678 + 0.409971i
\(717\) 14.8850 25.7816i 0.555890 0.962830i
\(718\) −21.1984 + 3.73785i −0.791118 + 0.139495i
\(719\) −13.0642 + 2.30356i −0.487211 + 0.0859085i −0.411857 0.911248i \(-0.635120\pi\)
−0.0753539 + 0.997157i \(0.524009\pi\)
\(720\) 0.722510 0.161074i 0.0269263 0.00600287i
\(721\) −8.64868 + 18.5471i −0.322094 + 0.690732i
\(722\) −12.3997 34.0679i −0.461469 1.26788i
\(723\) −2.73790 3.26290i −0.101824 0.121349i
\(724\) 1.89930 + 10.7715i 0.0705871 + 0.400319i
\(725\) 11.1140 0.0263060i 0.412762 0.000976982i
\(726\) −0.638203 + 0.171006i −0.0236859 + 0.00634662i
\(727\) −2.24892 1.88707i −0.0834078 0.0699874i 0.600130 0.799902i \(-0.295115\pi\)
−0.683538 + 0.729915i \(0.739560\pi\)
\(728\) 5.14507 + 11.0336i 0.190689 + 0.408934i
\(729\) −25.3621 + 14.6428i −0.939336 + 0.542326i
\(730\) 4.50750 20.4465i 0.166830 0.756759i
\(731\) −3.32118 3.95803i −0.122838 0.146393i
\(732\) −6.35596 11.0088i −0.234923 0.406899i
\(733\) −21.2152 + 14.8551i −0.783603 + 0.548685i −0.895514 0.445034i \(-0.853192\pi\)
0.111911 + 0.993718i \(0.464303\pi\)
\(734\) −13.4244 13.4244i −0.495503 0.495503i
\(735\) −8.50594 + 1.13007i −0.313746 + 0.0416833i
\(736\) 5.49737 + 4.61284i 0.202636 + 0.170032i
\(737\) −42.1314 19.6462i −1.55193 0.723677i
\(738\) 2.58492 + 0.940835i 0.0951523 + 0.0346326i
\(739\) −30.9166 −1.13729 −0.568643 0.822585i \(-0.692531\pi\)
−0.568643 + 0.822585i \(0.692531\pi\)
\(740\) −2.82034 + 13.3059i −0.103678 + 0.489133i
\(741\) 68.5518 2.51831
\(742\) −23.4353 8.52975i −0.860337 0.313137i
\(743\) −4.45120 2.07563i −0.163299 0.0761474i 0.339250 0.940696i \(-0.389827\pi\)
−0.502549 + 0.864549i \(0.667604\pi\)
\(744\) 9.07403 + 7.61401i 0.332670 + 0.279143i
\(745\) −2.08916 + 2.72933i −0.0765411 + 0.0999951i
\(746\) 6.74579 + 6.74579i 0.246981 + 0.246981i
\(747\) −3.40286 + 2.38271i −0.124504 + 0.0871787i
\(748\) −4.36726 7.56431i −0.159683 0.276579i
\(749\) −7.41596 8.83799i −0.270973 0.322933i
\(750\) −16.8500 + 7.04967i −0.615273 + 0.257418i
\(751\) 17.7096 10.2247i 0.646234 0.373103i −0.140778 0.990041i \(-0.544960\pi\)
0.787012 + 0.616938i \(0.211627\pi\)
\(752\) −1.66500 3.57060i −0.0607162 0.130206i
\(753\) 8.58396 + 7.20280i 0.312817 + 0.262485i
\(754\) −12.1202 + 3.24760i −0.441391 + 0.118270i
\(755\) 1.24495 3.96482i 0.0453083 0.144295i
\(756\) 2.03798 + 11.5579i 0.0741204 + 0.420358i
\(757\) −19.2717 22.9671i −0.700442 0.834754i 0.292135 0.956377i \(-0.405634\pi\)
−0.992576 + 0.121623i \(0.961190\pi\)
\(758\) −6.34724 17.4389i −0.230542 0.633409i
\(759\) 16.1280 34.5867i 0.585411 1.25542i
\(760\) −14.0289 8.91408i −0.508882 0.323348i
\(761\) 42.3702 7.47102i 1.53592 0.270824i 0.659253 0.751921i \(-0.270873\pi\)
0.876667 + 0.481097i \(0.159762\pi\)
\(762\) −9.36113 + 1.65062i −0.339118 + 0.0597956i
\(763\) −6.52173 + 11.2960i −0.236103 + 0.408942i
\(764\) 1.34977 + 15.4279i 0.0488329 + 0.558163i
\(765\) −1.46289 + 1.34368i −0.0528910 + 0.0485810i
\(766\) −7.09960 12.2969i −0.256519 0.444304i
\(767\) −3.27343 12.2166i −0.118197 0.441115i
\(768\) −1.62748 0.142386i −0.0587265 0.00513790i
\(769\) −0.525088 + 1.95965i −0.0189352 + 0.0706670i −0.974747 0.223312i \(-0.928313\pi\)
0.955812 + 0.293979i \(0.0949797\pi\)
\(770\) −15.5606 + 2.06732i −0.560763 + 0.0745012i
\(771\) 9.17987 9.17987i 0.330605 0.330605i
\(772\) −1.71401 + 9.72064i −0.0616886 + 0.349854i
\(773\) −25.5334 + 2.23388i −0.918371 + 0.0803470i −0.536530 0.843881i \(-0.680265\pi\)
−0.381841 + 0.924228i \(0.624710\pi\)
\(774\) −0.218018 0.598998i −0.00783648 0.0215305i
\(775\) 31.4390 + 18.0522i 1.12932 + 0.648454i
\(776\) 16.5336i 0.593521i
\(777\) −20.7454 5.37872i −0.744236 0.192961i
\(778\) 18.6156 18.6156i 0.667400 0.667400i
\(779\) −26.1037 55.9795i −0.935261 2.00567i
\(780\) 16.3453 12.5729i 0.585255 0.450184i
\(781\) −13.6242 + 16.2367i −0.487512 + 0.580995i
\(782\) −18.9640 3.34386i −0.678150 0.119576i
\(783\) −12.0963 −0.432285
\(784\) −2.31323 0.407884i −0.0826152 0.0145673i
\(785\) 16.8846 + 15.4351i 0.602636 + 0.550903i
\(786\) 10.6405 8.92847i 0.379535 0.318468i
\(787\) 5.00468 1.34100i 0.178397 0.0478015i −0.168514 0.985699i \(-0.553897\pi\)
0.346912 + 0.937898i \(0.387230\pi\)
\(788\) 3.77236 14.0786i 0.134385 0.501531i
\(789\) −11.5607 + 31.7628i −0.411572 + 1.13079i
\(790\) −9.43866 + 22.8634i −0.335812 + 0.813444i
\(791\) −7.97403 29.7595i −0.283524 1.05813i
\(792\) −0.187122 1.06122i −0.00664908 0.0377088i
\(793\) 35.9808 + 25.1940i 1.27772 + 0.894666i
\(794\) 2.04477 23.3719i 0.0725663 0.829437i
\(795\) −5.46435 + 41.8889i −0.193800 + 1.48564i
\(796\) 23.7432 + 11.0717i 0.841557 + 0.392424i
\(797\) 33.5923 28.1873i 1.18990 0.998444i 0.190038 0.981777i \(-0.439139\pi\)
0.999861 0.0166672i \(-0.00530559\pi\)
\(798\) 15.0218 21.4534i 0.531766 0.759441i
\(799\) 8.65977 + 6.06364i 0.306361 + 0.214516i
\(800\) −4.97993 + 0.447567i −0.176067 + 0.0158239i
\(801\) 2.28735 0.200117i 0.0808194 0.00707079i
\(802\) 10.3849 4.84254i 0.366702 0.170996i
\(803\) −29.4405 7.88856i −1.03893 0.278381i
\(804\) 11.6656 20.2055i 0.411415 0.712592i
\(805\) −18.5597 + 29.2092i −0.654145 + 1.02949i
\(806\) −39.5353 10.5935i −1.39257 0.373138i
\(807\) −17.1042 24.4274i −0.602098 0.859885i
\(808\) 2.55812i 0.0899945i
\(809\) −38.4487 + 26.9221i −1.35178 + 0.946529i −0.351838 + 0.936061i \(0.614443\pi\)
−0.999945 + 0.0104681i \(0.996668\pi\)
\(810\) 16.3066 6.77704i 0.572956 0.238121i
\(811\) 8.27149 3.01057i 0.290451 0.105716i −0.192685 0.981261i \(-0.561720\pi\)
0.483137 + 0.875545i \(0.339497\pi\)
\(812\) −1.63957 + 4.50467i −0.0575375 + 0.158083i
\(813\) 13.4494 + 13.4494i 0.471689 + 0.471689i
\(814\) 19.1662 + 4.96928i 0.671774 + 0.174173i
\(815\) −22.6260 11.7443i −0.792554 0.411386i
\(816\) 3.97304 1.85266i 0.139084 0.0648560i
\(817\) −6.04894 + 12.9720i −0.211626 + 0.453833i
\(818\) −0.375096 4.28737i −0.0131149 0.149904i
\(819\) −2.31167 3.30141i −0.0807763 0.115360i
\(820\) −16.4912 8.55996i −0.575896 0.298927i
\(821\) 3.77176 21.3907i 0.131635 0.746542i −0.845508 0.533962i \(-0.820702\pi\)
0.977144 0.212579i \(-0.0681864\pi\)
\(822\) −13.0326 + 7.52435i −0.454563 + 0.262442i
\(823\) −1.45933 + 16.6803i −0.0508692 + 0.581438i 0.927396 + 0.374081i \(0.122042\pi\)
−0.978265 + 0.207357i \(0.933514\pi\)
\(824\) 8.21778 + 4.74454i 0.286280 + 0.165284i
\(825\) 9.15310 + 24.9639i 0.318670 + 0.869132i
\(826\) −4.54050 1.65261i −0.157984 0.0575016i
\(827\) 11.3501 13.5265i 0.394682 0.470364i −0.531709 0.846927i \(-0.678450\pi\)
0.926391 + 0.376564i \(0.122894\pi\)
\(828\) −2.05742 1.18785i −0.0715003 0.0412807i
\(829\) −19.1398 + 27.3345i −0.664753 + 0.949366i 0.335220 + 0.942140i \(0.391189\pi\)
−0.999974 + 0.00722656i \(0.997700\pi\)
\(830\) 24.8733 12.9857i 0.863366 0.450739i
\(831\) −15.6130 1.36596i −0.541609 0.0473847i
\(832\) 5.30458 1.93071i 0.183903 0.0669354i
\(833\) 5.92283 2.15573i 0.205214 0.0746917i
\(834\) −13.6555 1.19470i −0.472851 0.0413691i
\(835\) 3.56637 11.3579i 0.123419 0.393057i
\(836\) −13.8783 + 19.8203i −0.479991 + 0.685499i
\(837\) −34.1710 19.7286i −1.18112 0.681921i
\(838\) 0.293118 0.349324i 0.0101256 0.0120672i
\(839\) −3.94621 1.43630i −0.136238 0.0495867i 0.273001 0.962014i \(-0.411984\pi\)
−0.409239 + 0.912427i \(0.634206\pi\)
\(840\) −0.352961 7.87039i −0.0121783 0.271554i
\(841\) 20.8358 + 12.0296i 0.718478 + 0.414813i
\(842\) −0.634136 + 7.24821i −0.0218538 + 0.249790i
\(843\) 13.4003 7.73665i 0.461530 0.266464i
\(844\) −1.37966 + 7.82445i −0.0474899 + 0.269329i
\(845\) −19.4351 + 37.4427i −0.668589 + 1.28807i
\(846\) 0.748080 + 1.06837i 0.0257195 + 0.0367313i
\(847\) −0.0760182 0.868893i −0.00261202 0.0298555i
\(848\) −4.88715 + 10.4805i −0.167825 + 0.359903i
\(849\) 32.7889 15.2897i 1.12531 0.524741i
\(850\) 10.9721 7.72151i 0.376340 0.264846i
\(851\) 35.5532 25.3269i 1.21875 0.868194i
\(852\) −7.52206 7.52206i −0.257702 0.257702i
\(853\) 7.73366 21.2480i 0.264795 0.727519i −0.734032 0.679114i \(-0.762364\pi\)
0.998828 0.0484048i \(-0.0154138\pi\)
\(854\) 15.7690 5.73944i 0.539604 0.196400i
\(855\) 5.08613 + 2.09970i 0.173942 + 0.0718081i
\(856\) −4.38215 + 3.06841i −0.149779 + 0.104876i
\(857\) 15.2501i 0.520934i 0.965483 + 0.260467i \(0.0838766\pi\)
−0.965483 + 0.260467i \(0.916123\pi\)
\(858\) −17.2183 24.5902i −0.587822 0.839497i
\(859\) 47.1135 + 12.6240i 1.60749 + 0.430726i 0.947294 0.320365i \(-0.103806\pi\)
0.660198 + 0.751092i \(0.270472\pi\)
\(860\) 0.936876 + 4.20243i 0.0319472 + 0.143302i
\(861\) 14.6382 25.3541i 0.498869 0.864066i
\(862\) 5.25985 + 1.40937i 0.179151 + 0.0480034i
\(863\) 34.5542 16.1129i 1.17624 0.548489i 0.266566 0.963817i \(-0.414111\pi\)
0.909672 + 0.415328i \(0.136333\pi\)
\(864\) 5.42120 0.474294i 0.184433 0.0161358i
\(865\) −3.31793 + 15.0505i −0.112813 + 0.511732i
\(866\) −12.4848 8.74199i −0.424252 0.297065i
\(867\) 9.18274 13.1143i 0.311862 0.445385i
\(868\) −11.9786 + 10.0513i −0.406581 + 0.341162i
\(869\) 32.6337 + 15.2173i 1.10702 + 0.516213i
\(870\) 8.05177 + 1.05034i 0.272981 + 0.0356100i
\(871\) −7.02635 + 80.3115i −0.238079 + 2.72125i
\(872\) 4.95428 + 3.46902i 0.167773 + 0.117476i
\(873\) 0.950448 + 5.39026i 0.0321678 + 0.182433i
\(874\) 13.8064 + 51.5262i 0.467008 + 1.74290i
\(875\) −5.30233 23.5217i −0.179251 0.795179i
\(876\) 5.23192 14.3746i 0.176770 0.485672i
\(877\) 7.65276 28.5605i 0.258415 0.964419i −0.707743 0.706470i \(-0.750287\pi\)
0.966158 0.257949i \(-0.0830467\pi\)
\(878\) 32.5927 8.73320i 1.09995 0.294731i
\(879\) −37.8751 + 31.7810i −1.27749 + 1.07195i
\(880\) 0.326093 + 7.27128i 0.0109926 + 0.245115i
\(881\) 36.8528 + 6.49815i 1.24160 + 0.218928i 0.755603 0.655030i \(-0.227344\pi\)
0.486001 + 0.873958i \(0.338455\pi\)
\(882\) 0.777603 0.0261833
\(883\) −44.3196 7.81474i −1.49147 0.262987i −0.632321 0.774707i \(-0.717898\pi\)
−0.859152 + 0.511720i \(0.829009\pi\)
\(884\) −9.73665 + 11.6037i −0.327479 + 0.390274i
\(885\) −1.05870 + 8.11581i −0.0355877 + 0.272810i
\(886\) −2.91942 6.26071i −0.0980797 0.210333i
\(887\) 15.2268 15.2268i 0.511265 0.511265i −0.403649 0.914914i \(-0.632258\pi\)
0.914914 + 0.403649i \(0.132258\pi\)
\(888\) −3.32292 + 9.36533i −0.111510 + 0.314280i
\(889\) 12.5483i 0.420855i
\(890\) −15.4949 0.658152i −0.519392 0.0220613i
\(891\) −8.79205 24.1560i −0.294545 0.809255i
\(892\) 16.0147 1.40111i 0.536212 0.0469125i
\(893\) 5.08532 28.8403i 0.170174 0.965104i
\(894\) −1.77569 + 1.77569i −0.0593879 + 0.0593879i
\(895\) 3.24291 + 24.4091i 0.108398 + 0.815905i
\(896\) 0.558179 2.08315i 0.0186475 0.0695933i
\(897\) −65.9297 5.76810i −2.20133 0.192591i
\(898\) −7.66873 28.6201i −0.255909 0.955065i
\(899\) −8.05834 13.9575i −0.268761 0.465507i
\(900\) 1.59782 0.432191i 0.0532607 0.0144064i
\(901\) −2.70446 30.9121i −0.0900985 1.02983i
\(902\) −13.5239 + 23.4241i −0.450297 + 0.779937i
\(903\) −6.68109 + 1.17806i −0.222333 + 0.0392033i
\(904\) −14.0688 + 2.48070i −0.467920 + 0.0825069i
\(905\) 5.32179 + 23.8713i 0.176902 + 0.793510i
\(906\) 1.28315 2.75172i 0.0426297 0.0914197i
\(907\) −9.08702 24.9664i −0.301730 0.828995i −0.994200 0.107549i \(-0.965700\pi\)
0.692470 0.721446i \(-0.256522\pi\)
\(908\) 0.864273 + 1.03000i 0.0286819 + 0.0341818i
\(909\) −0.147056 0.833997i −0.00487755 0.0276619i
\(910\) 12.5985 + 24.1318i 0.417637 + 0.799960i
\(911\) 26.9422 7.21914i 0.892634 0.239181i 0.216784 0.976220i \(-0.430443\pi\)
0.675850 + 0.737039i \(0.263777\pi\)
\(912\) −9.30266 7.80586i −0.308042 0.258478i
\(913\) −17.2623 37.0191i −0.571298 1.22515i
\(914\) −11.3595 + 6.55843i −0.375740 + 0.216934i
\(915\) −15.3009 23.9551i −0.505834 0.791930i
\(916\) −7.08693 8.44587i −0.234159 0.279059i
\(917\) 9.16825 + 15.8799i 0.302762 + 0.524400i
\(918\) −11.9617 + 8.37566i −0.394795 + 0.276438i
\(919\) −29.8906 29.8906i −0.986001 0.986001i 0.0139025 0.999903i \(-0.495575\pi\)
−0.999903 + 0.0139025i \(0.995575\pi\)
\(920\) 12.7423 + 9.75354i 0.420100 + 0.321565i
\(921\) 5.99911 + 5.03385i 0.197677 + 0.165871i
\(922\) −12.9808 6.05303i −0.427499 0.199346i
\(923\) 34.5408 + 12.5718i 1.13693 + 0.413807i
\(924\) −11.4686 −0.377289
\(925\) −4.96716 + 30.0055i −0.163319 + 0.986573i
\(926\) 20.4187 0.671001
\(927\) −2.95190 1.07440i −0.0969530 0.0352880i
\(928\) 2.01454 + 0.939395i 0.0661305 + 0.0308372i
\(929\) 34.5382 + 28.9810i 1.13316 + 0.950835i 0.999194 0.0401503i \(-0.0127837\pi\)
0.133968 + 0.990986i \(0.457228\pi\)
\(930\) 21.0325 + 16.0993i 0.689684 + 0.527917i
\(931\) −12.3462 12.3462i −0.404631 0.404631i
\(932\) −14.8177 + 10.3754i −0.485369 + 0.339859i
\(933\) −1.51105 2.61722i −0.0494697 0.0856840i
\(934\) 3.60836 + 4.30028i 0.118069 + 0.140709i
\(935\) −10.5135 16.4598i −0.343827 0.538294i
\(936\) −1.61841 + 0.934387i −0.0528993 + 0.0305414i
\(937\) 20.2661 + 43.4608i 0.662065 + 1.41980i 0.894445 + 0.447177i \(0.147571\pi\)
−0.232381 + 0.972625i \(0.574652\pi\)
\(938\) 23.5939 + 19.7976i 0.770368 + 0.646415i
\(939\) −20.7434 + 5.55818i −0.676935 + 0.181384i
\(940\) −4.07701 7.80929i −0.132977 0.254711i
\(941\) −5.33318 30.2460i −0.173857 0.985991i −0.939455 0.342672i \(-0.888668\pi\)
0.765598 0.643319i \(-0.222443\pi\)
\(942\) 10.7434 + 12.8035i 0.350039 + 0.417160i
\(943\) 20.3950 + 56.0347i 0.664151 + 1.82474i
\(944\) −0.946867 + 2.03056i −0.0308179 + 0.0660892i
\(945\) 5.71034 + 25.6142i 0.185758 + 0.833230i
\(946\) 6.17251 1.08838i 0.200686 0.0353863i
\(947\) −12.1436 + 2.14125i −0.394616 + 0.0695814i −0.367435 0.930049i \(-0.619764\pi\)
−0.0271805 + 0.999631i \(0.508653\pi\)
\(948\) −9.03585 + 15.6505i −0.293471 + 0.508306i
\(949\) 4.60681 + 52.6561i 0.149543 + 1.70929i
\(950\) −32.2311 18.5071i −1.04572 0.600449i
\(951\) −7.71007 13.3542i −0.250016 0.433041i
\(952\) 1.49779 + 5.58982i 0.0485436 + 0.181167i
\(953\) 46.7948 + 4.09401i 1.51583 + 0.132618i 0.814477 0.580195i \(-0.197024\pi\)
0.701354 + 0.712813i \(0.252579\pi\)
\(954\) 0.990821 3.69779i 0.0320790 0.119720i
\(955\) 4.56071 + 34.3281i 0.147581 + 1.11083i
\(956\) 12.8853 12.8853i 0.416739 0.416739i
\(957\) 2.05259 11.6408i 0.0663509 0.376295i
\(958\) −15.4755 + 1.35393i −0.499992 + 0.0437436i
\(959\) −6.79450 18.6677i −0.219406 0.602813i
\(960\) −3.64976 0.155024i −0.117795 0.00500339i
\(961\) 21.5716i 0.695859i
\(962\) −3.27008 34.1813i −0.105432 1.10205i
\(963\) 1.25227 1.25227i 0.0403539 0.0403539i
\(964\) −1.10186 2.36296i −0.0354887 0.0761057i
\(965\) −2.85499 + 21.8859i −0.0919053 + 0.704532i
\(966\) −16.2523 + 19.3688i −0.522911 + 0.623181i
\(967\) 41.6597 + 7.34573i 1.33969 + 0.236223i 0.797136 0.603800i \(-0.206347\pi\)
0.542551 + 0.840023i \(0.317459\pi\)
\(968\) −0.404431 −0.0129989
\(969\) 32.0909 + 5.65849i 1.03091 + 0.181777i
\(970\) −1.65633 36.9331i −0.0531815 1.18585i
\(971\) −16.5445 + 13.8825i −0.530938 + 0.445510i −0.868425 0.495820i \(-0.834867\pi\)
0.337487 + 0.941330i \(0.390423\pi\)
\(972\) −3.30736 + 0.886204i −0.106084 + 0.0284250i
\(973\) 4.68345 17.4789i 0.150145 0.560347i
\(974\) −2.27950 + 6.26288i −0.0730399 + 0.200676i
\(975\) 35.2529 29.7232i 1.12900 0.951904i
\(976\) −2.01390 7.51596i −0.0644632 0.240580i
\(977\) 3.23825 + 18.3650i 0.103601 + 0.587549i 0.991770 + 0.128033i \(0.0408663\pi\)
−0.888169 + 0.459517i \(0.848023\pi\)
\(978\) −15.2567 10.6829i −0.487856 0.341601i
\(979\) −1.96768 + 22.4907i −0.0628873 + 0.718806i
\(980\) −5.20820 0.679403i −0.166370 0.0217027i
\(981\) −1.81461 0.846166i −0.0579360 0.0270160i
\(982\) −19.0903 + 16.0187i −0.609197 + 0.511177i
\(983\) −13.7105 + 19.5806i −0.437296 + 0.624523i −0.975948 0.218005i \(-0.930045\pi\)
0.538652 + 0.842528i \(0.318934\pi\)
\(984\) −11.1200 7.78631i −0.354493 0.248219i
\(985\) 7.01639 31.8271i 0.223561 1.01410i
\(986\) −5.94184 + 0.519844i −0.189227 + 0.0165552i
\(987\) 12.5802 5.86626i 0.400433 0.186725i
\(988\) 40.5315 + 10.8604i 1.28948 + 0.345515i
\(989\) 6.90906 11.9668i 0.219695 0.380524i
\(990\) −0.524309 2.35183i −0.0166636 0.0747461i
\(991\) −37.1397 9.95154i −1.17978 0.316121i −0.384941 0.922941i \(-0.625778\pi\)
−0.794839 + 0.606820i \(0.792445\pi\)
\(992\) 4.15879 + 5.93937i 0.132042 + 0.188575i
\(993\) 23.4959i 0.745621i
\(994\) 11.5033 8.05472i 0.364863 0.255480i
\(995\) 54.1473 + 22.3535i 1.71659 + 0.708654i
\(996\) 19.2639 7.01149i 0.610400 0.222167i
\(997\) −13.4002 + 36.8168i −0.424389 + 1.16600i 0.524781 + 0.851237i \(0.324147\pi\)
−0.949170 + 0.314762i \(0.898075\pi\)
\(998\) 21.5451 + 21.5451i 0.681998 + 0.681998i
\(999\) 5.48345 32.6445i 0.173489 1.03283i
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 370.2.ba.b.207.8 yes 120
5.3 odd 4 370.2.bd.b.133.3 yes 120
37.32 odd 36 370.2.bd.b.217.3 yes 120
185.143 even 36 inner 370.2.ba.b.143.8 120
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
370.2.ba.b.143.8 120 185.143 even 36 inner
370.2.ba.b.207.8 yes 120 1.1 even 1 trivial
370.2.bd.b.133.3 yes 120 5.3 odd 4
370.2.bd.b.217.3 yes 120 37.32 odd 36