Properties

Label 950.2.r.a.11.4
Level $950$
Weight $2$
Character 950.11
Analytic conductor $7.586$
Analytic rank $0$
Dimension $200$
CM no
Inner twists $4$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [950,2,Mod(11,950)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(950, base_ring=CyclotomicField(30))
 
chi = DirichletCharacter(H, H._module([24, 20]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("950.11");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 950 = 2 \cdot 5^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 950.r (of order \(15\), degree \(8\), minimal)

Newform invariants

comment: select newform
 
sage: f = N[0] # Warning: the index may be different
 
gp: f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(7.58578819202\)
Analytic rank: \(0\)
Dimension: \(200\)
Relative dimension: \(25\) over \(\Q(\zeta_{15})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 11.4
Character \(\chi\) \(=\) 950.11
Dual form 950.2.r.a.691.4

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.104528 + 0.994522i) q^{2} +(-1.76134 - 1.95617i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.69383 + 1.45977i) q^{5} +(1.76134 - 1.95617i) q^{6} -4.49296 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.410684 + 3.90739i) q^{9} +O(q^{10})\) \(q+(0.104528 + 0.994522i) q^{2} +(-1.76134 - 1.95617i) q^{3} +(-0.978148 + 0.207912i) q^{4} +(-1.69383 + 1.45977i) q^{5} +(1.76134 - 1.95617i) q^{6} -4.49296 q^{7} +(-0.309017 - 0.951057i) q^{8} +(-0.410684 + 3.90739i) q^{9} +(-1.62883 - 1.53197i) q^{10} +(-4.28142 + 3.11064i) q^{11} +(2.12956 + 1.54722i) q^{12} +(0.232223 - 2.20946i) q^{13} +(-0.469642 - 4.46835i) q^{14} +(5.83897 + 0.742263i) q^{15} +(0.913545 - 0.406737i) q^{16} +(5.07250 + 1.07819i) q^{17} -3.92892 q^{18} +(-3.33146 - 2.81093i) q^{19} +(1.35331 - 1.78004i) q^{20} +(7.91363 + 8.78898i) q^{21} +(-3.54113 - 3.93282i) q^{22} +(4.70598 + 2.09524i) q^{23} +(-1.31614 + 2.27962i) q^{24} +(0.738134 - 4.94522i) q^{25} +2.22163 q^{26} +(1.97818 - 1.43723i) q^{27} +(4.39478 - 0.934139i) q^{28} +(-2.60308 + 0.553302i) q^{29} +(-0.127858 + 5.88458i) q^{30} +(0.561595 + 1.72841i) q^{31} +(0.500000 + 0.866025i) q^{32} +(13.6260 + 2.89629i) q^{33} +(-0.542066 + 5.15741i) q^{34} +(7.61032 - 6.55869i) q^{35} +(-0.410684 - 3.90739i) q^{36} +(-4.79007 - 3.48019i) q^{37} +(2.44730 - 3.60704i) q^{38} +(-4.73110 + 3.43734i) q^{39} +(1.91175 + 1.15984i) q^{40} +(-4.14256 + 1.84439i) q^{41} +(-7.91363 + 8.78898i) q^{42} +(5.83371 - 10.1043i) q^{43} +(3.54113 - 3.93282i) q^{44} +(-5.00827 - 7.21797i) q^{45} +(-1.59185 + 4.89921i) q^{46} +(6.56563 - 1.39557i) q^{47} +(-2.40471 - 1.07065i) q^{48} +13.1867 q^{49} +(4.99528 + 0.217174i) q^{50} +(-6.82528 - 11.8217i) q^{51} +(0.232223 + 2.20946i) q^{52} +(9.51434 - 2.02234i) q^{53} +(1.63614 + 1.81712i) q^{54} +(2.71119 - 11.5188i) q^{55} +(1.38840 + 4.27306i) q^{56} +(0.369191 + 11.4679i) q^{57} +(-0.822367 - 2.53099i) q^{58} +(-9.35244 + 4.16398i) q^{59} +(-5.86570 + 0.487948i) q^{60} +(4.26755 + 1.90003i) q^{61} +(-1.66024 + 0.739186i) q^{62} +(1.84518 - 17.5558i) q^{63} +(-0.809017 + 0.587785i) q^{64} +(2.83196 + 4.08144i) q^{65} +(-1.45612 + 13.8541i) q^{66} +(-6.30441 + 7.00175i) q^{67} -5.18582 q^{68} +(-4.19020 - 12.8961i) q^{69} +(7.31826 + 6.88306i) q^{70} +(-7.54398 - 8.37844i) q^{71} +(3.84306 - 0.816868i) q^{72} +(-0.0205399 - 0.195424i) q^{73} +(2.96043 - 5.12761i) q^{74} +(-10.9738 + 7.26630i) q^{75} +(3.84309 + 2.05686i) q^{76} +(19.2363 - 13.9760i) q^{77} +(-3.91305 - 4.34588i) q^{78} +(6.99937 + 7.77359i) q^{79} +(-0.953650 + 2.02251i) q^{80} +(5.23345 + 1.11240i) q^{81} +(-2.26730 - 3.92707i) q^{82} +(1.91192 + 5.88429i) q^{83} +(-9.56803 - 6.95158i) q^{84} +(-10.1659 + 5.57841i) q^{85} +(10.6587 + 4.74557i) q^{86} +(5.66727 + 4.11751i) q^{87} +(4.28142 + 3.11064i) q^{88} +(7.93824 + 3.53433i) q^{89} +(6.65492 - 5.73532i) q^{90} +(-1.04337 + 9.92701i) q^{91} +(-5.03876 - 1.07102i) q^{92} +(2.39190 - 4.14289i) q^{93} +(2.07422 + 6.38378i) q^{94} +(9.74626 - 0.101930i) q^{95} +(0.813420 - 2.50345i) q^{96} +(8.65610 + 9.61358i) q^{97} +(1.37838 + 13.1144i) q^{98} +(-10.3962 - 18.0067i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 200 q - 25 q^{2} + 25 q^{4} + q^{5} - 36 q^{7} + 50 q^{8} + 37 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 200 q - 25 q^{2} + 25 q^{4} + q^{5} - 36 q^{7} + 50 q^{8} + 37 q^{9} + 4 q^{10} - 2 q^{11} + 8 q^{13} + 7 q^{14} + 10 q^{15} + 25 q^{16} - 13 q^{17} - 216 q^{18} - 36 q^{19} - 2 q^{20} + 4 q^{22} - 13 q^{23} + 33 q^{25} - 64 q^{26} - 2 q^{28} + 12 q^{29} - 20 q^{30} + 12 q^{31} + 100 q^{32} - 12 q^{33} + 8 q^{34} - 22 q^{35} + 37 q^{36} + 8 q^{37} + 18 q^{38} + 28 q^{39} - q^{40} + 2 q^{41} + 70 q^{43} - 4 q^{44} + 60 q^{45} + 24 q^{46} - 22 q^{47} + 156 q^{49} + 26 q^{50} - 42 q^{51} + 8 q^{52} - 18 q^{53} - 10 q^{55} - 4 q^{56} + 74 q^{57} + 24 q^{58} + 50 q^{59} + 12 q^{61} - 4 q^{62} - 45 q^{63} - 50 q^{64} + 120 q^{65} + 2 q^{66} - 18 q^{67} - 84 q^{68} + 4 q^{69} - 13 q^{70} + 19 q^{71} - 17 q^{72} - 24 q^{73} + 4 q^{74} - 136 q^{75} - 6 q^{76} - 12 q^{77} - 26 q^{78} - 8 q^{79} + q^{80} - 63 q^{81} + 28 q^{82} + 16 q^{83} - 20 q^{84} - 5 q^{85} + 20 q^{86} - 64 q^{87} + 2 q^{88} + 16 q^{89} - 65 q^{90} + 72 q^{91} + 12 q^{92} - 8 q^{93} - 44 q^{94} - 73 q^{95} - 11 q^{97} - 27 q^{98} + 16 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(77\) \(401\)
\(\chi(n)\) \(e\left(\frac{4}{5}\right)\) \(e\left(\frac{2}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.104528 + 0.994522i 0.0739128 + 0.703233i
\(3\) −1.76134 1.95617i −1.01691 1.12939i −0.991551 0.129716i \(-0.958594\pi\)
−0.0253597 0.999678i \(-0.508073\pi\)
\(4\) −0.978148 + 0.207912i −0.489074 + 0.103956i
\(5\) −1.69383 + 1.45977i −0.757505 + 0.652830i
\(6\) 1.76134 1.95617i 0.719065 0.798602i
\(7\) −4.49296 −1.69818 −0.849089 0.528249i \(-0.822849\pi\)
−0.849089 + 0.528249i \(0.822849\pi\)
\(8\) −0.309017 0.951057i −0.109254 0.336249i
\(9\) −0.410684 + 3.90739i −0.136895 + 1.30246i
\(10\) −1.62883 1.53197i −0.515081 0.484450i
\(11\) −4.28142 + 3.11064i −1.29090 + 0.937892i −0.999823 0.0188081i \(-0.994013\pi\)
−0.291075 + 0.956700i \(0.594013\pi\)
\(12\) 2.12956 + 1.54722i 0.614752 + 0.446643i
\(13\) 0.232223 2.20946i 0.0644072 0.612793i −0.913944 0.405841i \(-0.866979\pi\)
0.978351 0.206953i \(-0.0663546\pi\)
\(14\) −0.469642 4.46835i −0.125517 1.19422i
\(15\) 5.83897 + 0.742263i 1.50762 + 0.191652i
\(16\) 0.913545 0.406737i 0.228386 0.101684i
\(17\) 5.07250 + 1.07819i 1.23026 + 0.261500i 0.776784 0.629767i \(-0.216850\pi\)
0.453478 + 0.891268i \(0.350183\pi\)
\(18\) −3.92892 −0.926054
\(19\) −3.33146 2.81093i −0.764290 0.644872i
\(20\) 1.35331 1.78004i 0.302610 0.398029i
\(21\) 7.91363 + 8.78898i 1.72690 + 1.91791i
\(22\) −3.54113 3.93282i −0.754971 0.838480i
\(23\) 4.70598 + 2.09524i 0.981264 + 0.436887i 0.833731 0.552170i \(-0.186200\pi\)
0.147533 + 0.989057i \(0.452867\pi\)
\(24\) −1.31614 + 2.27962i −0.268656 + 0.465326i
\(25\) 0.738134 4.94522i 0.147627 0.989043i
\(26\) 2.22163 0.435697
\(27\) 1.97818 1.43723i 0.380702 0.276596i
\(28\) 4.39478 0.934139i 0.830535 0.176536i
\(29\) −2.60308 + 0.553302i −0.483380 + 0.102746i −0.443155 0.896445i \(-0.646141\pi\)
−0.0402252 + 0.999191i \(0.512808\pi\)
\(30\) −0.127858 + 5.88458i −0.0233436 + 1.07437i
\(31\) 0.561595 + 1.72841i 0.100865 + 0.310432i 0.988738 0.149658i \(-0.0478173\pi\)
−0.887872 + 0.460090i \(0.847817\pi\)
\(32\) 0.500000 + 0.866025i 0.0883883 + 0.153093i
\(33\) 13.6260 + 2.89629i 2.37198 + 0.504179i
\(34\) −0.542066 + 5.15741i −0.0929635 + 0.884489i
\(35\) 7.61032 6.55869i 1.28638 1.10862i
\(36\) −0.410684 3.90739i −0.0684473 0.651232i
\(37\) −4.79007 3.48019i −0.787483 0.572140i 0.119732 0.992806i \(-0.461796\pi\)
−0.907216 + 0.420666i \(0.861796\pi\)
\(38\) 2.44730 3.60704i 0.397005 0.585139i
\(39\) −4.73110 + 3.43734i −0.757582 + 0.550415i
\(40\) 1.91175 + 1.15984i 0.302274 + 0.183386i
\(41\) −4.14256 + 1.84439i −0.646959 + 0.288045i −0.703864 0.710335i \(-0.748543\pi\)
0.0569049 + 0.998380i \(0.481877\pi\)
\(42\) −7.91363 + 8.78898i −1.22110 + 1.35617i
\(43\) 5.83371 10.1043i 0.889632 1.54089i 0.0493220 0.998783i \(-0.484294\pi\)
0.840310 0.542106i \(-0.182373\pi\)
\(44\) 3.54113 3.93282i 0.533845 0.592895i
\(45\) −5.00827 7.21797i −0.746589 1.07599i
\(46\) −1.59185 + 4.89921i −0.234705 + 0.722349i
\(47\) 6.56563 1.39557i 0.957695 0.203564i 0.297553 0.954705i \(-0.403829\pi\)
0.660142 + 0.751141i \(0.270496\pi\)
\(48\) −2.40471 1.07065i −0.347090 0.154534i
\(49\) 13.1867 1.88381
\(50\) 4.99528 + 0.217174i 0.706439 + 0.0307131i
\(51\) −6.82528 11.8217i −0.955730 1.65537i
\(52\) 0.232223 + 2.20946i 0.0322036 + 0.306397i
\(53\) 9.51434 2.02234i 1.30690 0.277789i 0.498736 0.866754i \(-0.333798\pi\)
0.808159 + 0.588965i \(0.200464\pi\)
\(54\) 1.63614 + 1.81712i 0.222650 + 0.247278i
\(55\) 2.71119 11.5188i 0.365577 1.55319i
\(56\) 1.38840 + 4.27306i 0.185533 + 0.571011i
\(57\) 0.369191 + 11.4679i 0.0489005 + 1.51896i
\(58\) −0.822367 2.53099i −0.107982 0.332335i
\(59\) −9.35244 + 4.16398i −1.21758 + 0.542103i −0.912051 0.410078i \(-0.865502\pi\)
−0.305534 + 0.952181i \(0.598835\pi\)
\(60\) −5.86570 + 0.487948i −0.757259 + 0.0629938i
\(61\) 4.26755 + 1.90003i 0.546403 + 0.243274i 0.661324 0.750100i \(-0.269995\pi\)
−0.114921 + 0.993375i \(0.536661\pi\)
\(62\) −1.66024 + 0.739186i −0.210851 + 0.0938768i
\(63\) 1.84518 17.5558i 0.232471 2.21182i
\(64\) −0.809017 + 0.587785i −0.101127 + 0.0734732i
\(65\) 2.83196 + 4.08144i 0.351261 + 0.506241i
\(66\) −1.45612 + 13.8541i −0.179236 + 1.70532i
\(67\) −6.30441 + 7.00175i −0.770206 + 0.855400i −0.992834 0.119503i \(-0.961870\pi\)
0.222628 + 0.974903i \(0.428537\pi\)
\(68\) −5.18582 −0.628873
\(69\) −4.19020 12.8961i −0.504441 1.55251i
\(70\) 7.31826 + 6.88306i 0.874699 + 0.822683i
\(71\) −7.54398 8.37844i −0.895305 0.994337i 0.104695 0.994504i \(-0.466614\pi\)
−1.00000 0.000166968i \(0.999947\pi\)
\(72\) 3.84306 0.816868i 0.452909 0.0962688i
\(73\) −0.0205399 0.195424i −0.00240401 0.0228726i 0.993254 0.115958i \(-0.0369938\pi\)
−0.995658 + 0.0930852i \(0.970327\pi\)
\(74\) 2.96043 5.12761i 0.344143 0.596073i
\(75\) −10.9738 + 7.26630i −1.26714 + 0.839040i
\(76\) 3.84309 + 2.05686i 0.440833 + 0.235938i
\(77\) 19.2363 13.9760i 2.19218 1.59271i
\(78\) −3.91305 4.34588i −0.443065 0.492074i
\(79\) 6.99937 + 7.77359i 0.787490 + 0.874597i 0.994607 0.103720i \(-0.0330745\pi\)
−0.207116 + 0.978316i \(0.566408\pi\)
\(80\) −0.953650 + 2.02251i −0.106621 + 0.226124i
\(81\) 5.23345 + 1.11240i 0.581494 + 0.123600i
\(82\) −2.26730 3.92707i −0.250381 0.433673i
\(83\) 1.91192 + 5.88429i 0.209861 + 0.645885i 0.999479 + 0.0322860i \(0.0102788\pi\)
−0.789618 + 0.613599i \(0.789721\pi\)
\(84\) −9.56803 6.95158i −1.04396 0.758480i
\(85\) −10.1659 + 5.57841i −1.10264 + 0.605064i
\(86\) 10.6587 + 4.74557i 1.14936 + 0.511728i
\(87\) 5.66727 + 4.11751i 0.607595 + 0.441443i
\(88\) 4.28142 + 3.11064i 0.456401 + 0.331595i
\(89\) 7.93824 + 3.53433i 0.841452 + 0.374639i 0.781761 0.623578i \(-0.214322\pi\)
0.0596913 + 0.998217i \(0.480988\pi\)
\(90\) 6.65492 5.73532i 0.701491 0.604556i
\(91\) −1.04337 + 9.92701i −0.109375 + 1.04063i
\(92\) −5.03876 1.07102i −0.525327 0.111662i
\(93\) 2.39190 4.14289i 0.248029 0.429598i
\(94\) 2.07422 + 6.38378i 0.213939 + 0.658437i
\(95\) 9.74626 0.101930i 0.999945 0.0104578i
\(96\) 0.813420 2.50345i 0.0830194 0.255507i
\(97\) 8.65610 + 9.61358i 0.878894 + 0.976111i 0.999863 0.0165455i \(-0.00526683\pi\)
−0.120969 + 0.992656i \(0.538600\pi\)
\(98\) 1.37838 + 13.1144i 0.139238 + 1.32476i
\(99\) −10.3962 18.0067i −1.04485 1.80974i
\(100\) 0.306164 + 4.99062i 0.0306164 + 0.499062i
\(101\) 3.19900 + 5.54083i 0.318313 + 0.551334i 0.980136 0.198326i \(-0.0635505\pi\)
−0.661824 + 0.749660i \(0.730217\pi\)
\(102\) 11.0435 8.02359i 1.09347 0.794454i
\(103\) 1.16033 3.57113i 0.114331 0.351874i −0.877476 0.479621i \(-0.840774\pi\)
0.991807 + 0.127746i \(0.0407743\pi\)
\(104\) −2.17308 + 0.461903i −0.213088 + 0.0452933i
\(105\) −26.2343 3.33496i −2.56020 0.325459i
\(106\) 3.00578 + 9.25083i 0.291947 + 0.898520i
\(107\) −2.70355 −0.261362 −0.130681 0.991424i \(-0.541716\pi\)
−0.130681 + 0.991424i \(0.541716\pi\)
\(108\) −1.63614 + 1.81712i −0.157437 + 0.174852i
\(109\) −1.97222 + 0.878089i −0.188904 + 0.0841056i −0.499009 0.866597i \(-0.666303\pi\)
0.310105 + 0.950702i \(0.399636\pi\)
\(110\) 11.7391 + 1.49230i 1.11928 + 0.142285i
\(111\) 1.62912 + 15.5000i 0.154629 + 1.47119i
\(112\) −4.10452 + 1.82745i −0.387841 + 0.172678i
\(113\) −15.1106 10.9785i −1.42148 1.03277i −0.991524 0.129922i \(-0.958527\pi\)
−0.429961 0.902848i \(-0.641473\pi\)
\(114\) −11.3665 + 1.56589i −1.06457 + 0.146659i
\(115\) −11.0297 + 3.32067i −1.02852 + 0.309654i
\(116\) 2.43116 1.08242i 0.225728 0.100500i
\(117\) 8.53785 + 1.81478i 0.789325 + 0.167776i
\(118\) −5.11876 8.86595i −0.471220 0.816177i
\(119\) −22.7905 4.84428i −2.08920 0.444074i
\(120\) −1.09841 5.78257i −0.100270 0.527874i
\(121\) 5.25534 16.1743i 0.477759 1.47039i
\(122\) −1.44355 + 4.44277i −0.130692 + 0.402230i
\(123\) 10.9044 + 4.85495i 0.983216 + 0.437756i
\(124\) −0.908679 1.57388i −0.0816018 0.141338i
\(125\) 5.96861 + 9.45387i 0.533849 + 0.845580i
\(126\) 17.6525 1.57261
\(127\) −11.7142 5.21552i −1.03947 0.462802i −0.185238 0.982694i \(-0.559306\pi\)
−0.854232 + 0.519891i \(0.825972\pi\)
\(128\) −0.669131 0.743145i −0.0591433 0.0656853i
\(129\) −30.0408 + 6.38537i −2.64495 + 0.562201i
\(130\) −3.76307 + 3.24307i −0.330043 + 0.284436i
\(131\) 15.9032 + 3.38034i 1.38947 + 0.295341i 0.841094 0.540890i \(-0.181912\pi\)
0.548378 + 0.836231i \(0.315246\pi\)
\(132\) −13.9304 −1.21248
\(133\) 14.9681 + 12.6294i 1.29790 + 1.09511i
\(134\) −7.62239 5.53799i −0.658474 0.478409i
\(135\) −1.25268 + 5.32213i −0.107813 + 0.458056i
\(136\) −0.542066 5.15741i −0.0464818 0.442244i
\(137\) 0.582920 5.54611i 0.0498022 0.473836i −0.940989 0.338437i \(-0.890102\pi\)
0.990791 0.135399i \(-0.0432316\pi\)
\(138\) 12.3875 5.51525i 1.05449 0.469490i
\(139\) −0.472956 0.210574i −0.0401156 0.0178606i 0.386581 0.922256i \(-0.373656\pi\)
−0.426696 + 0.904395i \(0.640323\pi\)
\(140\) −6.08038 + 7.99764i −0.513886 + 0.675924i
\(141\) −14.2943 10.3854i −1.20379 0.874608i
\(142\) 7.54398 8.37844i 0.633077 0.703103i
\(143\) 5.87857 + 10.1820i 0.491591 + 0.851461i
\(144\) 1.21410 + 3.73662i 0.101175 + 0.311385i
\(145\) 3.60149 4.73711i 0.299087 0.393395i
\(146\) 0.192206 0.0408547i 0.0159071 0.00338116i
\(147\) −23.2262 25.7954i −1.91567 2.12757i
\(148\) 5.40897 + 2.40823i 0.444615 + 0.197955i
\(149\) 2.68871 4.65699i 0.220268 0.381515i −0.734621 0.678477i \(-0.762640\pi\)
0.954889 + 0.296962i \(0.0959735\pi\)
\(150\) −8.37357 10.1541i −0.683699 0.829081i
\(151\) −4.61041 −0.375190 −0.187595 0.982246i \(-0.560069\pi\)
−0.187595 + 0.982246i \(0.560069\pi\)
\(152\) −1.64388 + 4.03704i −0.133336 + 0.327447i
\(153\) −6.29611 + 19.3774i −0.509011 + 1.56657i
\(154\) 15.9101 + 17.6700i 1.28208 + 1.42389i
\(155\) −3.47433 2.10784i −0.279065 0.169306i
\(156\) 3.91305 4.34588i 0.313294 0.347949i
\(157\) 2.54655 4.41076i 0.203237 0.352017i −0.746332 0.665573i \(-0.768187\pi\)
0.949570 + 0.313556i \(0.101520\pi\)
\(158\) −6.99937 + 7.77359i −0.556840 + 0.618433i
\(159\) −20.7140 15.0496i −1.64273 1.19351i
\(160\) −2.11112 0.737016i −0.166898 0.0582662i
\(161\) −21.1438 9.41381i −1.66636 0.741912i
\(162\) −0.559266 + 5.32106i −0.0439401 + 0.418062i
\(163\) −11.1913 8.13097i −0.876572 0.636867i 0.0557703 0.998444i \(-0.482239\pi\)
−0.932342 + 0.361577i \(0.882239\pi\)
\(164\) 3.66856 2.66537i 0.286467 0.208130i
\(165\) −27.3080 + 14.9850i −2.12593 + 1.16658i
\(166\) −5.65221 + 2.51652i −0.438696 + 0.195320i
\(167\) 6.66858 7.40621i 0.516030 0.573110i −0.427660 0.903940i \(-0.640662\pi\)
0.943690 + 0.330830i \(0.107329\pi\)
\(168\) 5.91337 10.2423i 0.456226 0.790207i
\(169\) 7.88814 + 1.67668i 0.606780 + 0.128975i
\(170\) −6.61048 9.52708i −0.507000 0.730694i
\(171\) 12.3516 11.8629i 0.944550 0.907182i
\(172\) −3.60543 + 11.0964i −0.274912 + 0.846091i
\(173\) 1.36903 + 13.0255i 0.104086 + 0.990309i 0.914537 + 0.404503i \(0.132555\pi\)
−0.810451 + 0.585806i \(0.800778\pi\)
\(174\) −3.50256 + 6.06662i −0.265529 + 0.459909i
\(175\) −3.31640 + 22.2187i −0.250697 + 1.67957i
\(176\) −2.64607 + 4.58312i −0.199455 + 0.345466i
\(177\) 24.6183 + 10.9608i 1.85042 + 0.823861i
\(178\) −2.68520 + 8.26420i −0.201264 + 0.619428i
\(179\) −0.626614 + 1.92852i −0.0468353 + 0.144144i −0.971739 0.236056i \(-0.924145\pi\)
0.924904 + 0.380201i \(0.124145\pi\)
\(180\) 6.39953 + 6.01896i 0.476993 + 0.448627i
\(181\) −1.14632 + 1.27311i −0.0852050 + 0.0946298i −0.784240 0.620458i \(-0.786947\pi\)
0.699035 + 0.715088i \(0.253613\pi\)
\(182\) −9.98169 −0.739892
\(183\) −3.79982 11.6946i −0.280891 0.864493i
\(184\) 0.538461 5.12311i 0.0396959 0.377681i
\(185\) 13.1939 1.09755i 0.970032 0.0806937i
\(186\) 4.37022 + 1.94575i 0.320440 + 0.142669i
\(187\) −25.0714 + 11.1625i −1.83340 + 0.816283i
\(188\) −6.13200 + 2.73014i −0.447222 + 0.199116i
\(189\) −8.88790 + 6.45744i −0.646500 + 0.469709i
\(190\) 1.12013 + 9.68222i 0.0812630 + 0.702422i
\(191\) 19.1944 + 13.9455i 1.38885 + 1.00906i 0.995990 + 0.0894657i \(0.0285160\pi\)
0.392865 + 0.919596i \(0.371484\pi\)
\(192\) 2.57476 + 0.547282i 0.185817 + 0.0394967i
\(193\) −5.49382 + 9.51557i −0.395454 + 0.684946i −0.993159 0.116770i \(-0.962746\pi\)
0.597705 + 0.801716i \(0.296079\pi\)
\(194\) −8.65610 + 9.61358i −0.621472 + 0.690215i
\(195\) 2.99595 12.7286i 0.214544 0.911514i
\(196\) −12.8985 + 2.74166i −0.921323 + 0.195833i
\(197\) 1.81562 5.58790i 0.129357 0.398121i −0.865312 0.501233i \(-0.832880\pi\)
0.994670 + 0.103112i \(0.0328800\pi\)
\(198\) 16.8214 12.2214i 1.19544 0.868539i
\(199\) −8.79261 15.2293i −0.623292 1.07957i −0.988869 0.148792i \(-0.952462\pi\)
0.365577 0.930781i \(-0.380872\pi\)
\(200\) −4.93128 + 0.826149i −0.348694 + 0.0584175i
\(201\) 24.8008 1.74931
\(202\) −5.17609 + 3.76065i −0.364189 + 0.264599i
\(203\) 11.6955 2.48596i 0.820866 0.174480i
\(204\) 9.13400 + 10.1443i 0.639508 + 0.710246i
\(205\) 4.32442 9.17127i 0.302030 0.640549i
\(206\) 3.67286 + 0.780690i 0.255900 + 0.0543932i
\(207\) −10.1196 + 17.5276i −0.703359 + 1.21825i
\(208\) −0.686521 2.11289i −0.0476017 0.146503i
\(209\) 23.0072 + 1.67182i 1.59144 + 0.115642i
\(210\) 0.574462 26.4392i 0.0396416 1.82448i
\(211\) −0.346856 3.30012i −0.0238786 0.227189i −0.999952 0.00975034i \(-0.996896\pi\)
0.976074 0.217439i \(-0.0697703\pi\)
\(212\) −8.88596 + 3.95629i −0.610290 + 0.271719i
\(213\) −3.10211 + 29.5146i −0.212553 + 2.02231i
\(214\) −0.282598 2.68874i −0.0193180 0.183798i
\(215\) 4.86862 + 25.6308i 0.332037 + 1.74801i
\(216\) −1.97818 1.43723i −0.134598 0.0977914i
\(217\) −2.52322 7.76568i −0.171287 0.527169i
\(218\) −1.07943 1.86963i −0.0731083 0.126627i
\(219\) −0.346104 + 0.384387i −0.0233875 + 0.0259745i
\(220\) −0.257055 + 11.8308i −0.0173307 + 0.797631i
\(221\) 3.56018 10.9571i 0.239483 0.737054i
\(222\) −15.2448 + 3.24038i −1.02316 + 0.217480i
\(223\) 0.860585 + 8.18792i 0.0576291 + 0.548304i 0.984803 + 0.173673i \(0.0555637\pi\)
−0.927174 + 0.374630i \(0.877770\pi\)
\(224\) −2.24648 3.89102i −0.150099 0.259979i
\(225\) 19.0198 + 4.91510i 1.26798 + 0.327673i
\(226\) 9.33886 16.1754i 0.621212 1.07597i
\(227\) 16.9762 12.3339i 1.12675 0.818631i 0.141531 0.989934i \(-0.454798\pi\)
0.985218 + 0.171302i \(0.0547975\pi\)
\(228\) −2.74544 11.1406i −0.181821 0.737801i
\(229\) −0.159086 + 0.489616i −0.0105127 + 0.0323548i −0.956175 0.292795i \(-0.905415\pi\)
0.945663 + 0.325150i \(0.105415\pi\)
\(230\) −4.45540 10.6222i −0.293780 0.700405i
\(231\) −61.2210 13.0129i −4.02804 0.856187i
\(232\) 1.33062 + 2.30470i 0.0873594 + 0.151311i
\(233\) −29.0089 6.16602i −1.90043 0.403950i −0.900887 0.434054i \(-0.857083\pi\)
−0.999547 + 0.0301042i \(0.990416\pi\)
\(234\) −0.912386 + 8.68078i −0.0596446 + 0.567480i
\(235\) −9.08386 + 11.9482i −0.592566 + 0.779413i
\(236\) 8.28233 6.01746i 0.539134 0.391704i
\(237\) 2.87816 27.3839i 0.186957 1.77877i
\(238\) 2.43548 23.1720i 0.157869 1.50202i
\(239\) 16.8147 12.2166i 1.08765 0.790227i 0.108652 0.994080i \(-0.465346\pi\)
0.979001 + 0.203853i \(0.0653465\pi\)
\(240\) 5.63607 1.69683i 0.363807 0.109530i
\(241\) −0.588824 + 5.60229i −0.0379295 + 0.360875i 0.959052 + 0.283231i \(0.0914064\pi\)
−0.996981 + 0.0776439i \(0.975260\pi\)
\(242\) 16.6350 + 3.53588i 1.06934 + 0.227295i
\(243\) −10.7096 18.5496i −0.687021 1.18996i
\(244\) −4.56933 0.971241i −0.292521 0.0621773i
\(245\) −22.3360 + 19.2495i −1.42700 + 1.22981i
\(246\) −3.68853 + 11.3521i −0.235172 + 0.723786i
\(247\) −6.98428 + 6.70797i −0.444399 + 0.426818i
\(248\) 1.47027 1.06822i 0.0933625 0.0678318i
\(249\) 8.14311 14.1043i 0.516049 0.893823i
\(250\) −8.77819 + 6.92411i −0.555182 + 0.437919i
\(251\) −9.94788 17.2302i −0.627905 1.08756i −0.987971 0.154636i \(-0.950579\pi\)
0.360067 0.932927i \(-0.382754\pi\)
\(252\) 1.84518 + 17.5558i 0.116236 + 1.10591i
\(253\) −26.6658 + 5.66799i −1.67646 + 0.356343i
\(254\) 3.96247 12.1952i 0.248628 0.765197i
\(255\) 28.8179 + 10.0607i 1.80465 + 0.630024i
\(256\) 0.669131 0.743145i 0.0418207 0.0464466i
\(257\) 6.27422 + 10.8673i 0.391375 + 0.677882i 0.992631 0.121175i \(-0.0386661\pi\)
−0.601256 + 0.799056i \(0.705333\pi\)
\(258\) −9.49052 29.2088i −0.590854 1.81846i
\(259\) 21.5216 + 15.6364i 1.33729 + 0.971596i
\(260\) −3.61865 3.40346i −0.224419 0.211073i
\(261\) −1.09293 10.3985i −0.0676504 0.643651i
\(262\) −1.69948 + 16.1694i −0.104994 + 0.998952i
\(263\) −5.28782 + 2.35429i −0.326061 + 0.145172i −0.563238 0.826295i \(-0.690445\pi\)
0.237177 + 0.971466i \(0.423778\pi\)
\(264\) −1.45612 13.8541i −0.0896181 0.852659i
\(265\) −13.1635 + 17.3143i −0.808630 + 1.06361i
\(266\) −10.9956 + 16.2063i −0.674185 + 0.993670i
\(267\) −7.06821 21.7537i −0.432567 1.33131i
\(268\) 4.71089 8.15951i 0.287764 0.498421i
\(269\) −18.2723 3.88390i −1.11408 0.236805i −0.386137 0.922441i \(-0.626191\pi\)
−0.727944 + 0.685636i \(0.759524\pi\)
\(270\) −5.42392 0.689500i −0.330089 0.0419617i
\(271\) 4.20139 + 4.66612i 0.255216 + 0.283446i 0.857114 0.515127i \(-0.172255\pi\)
−0.601898 + 0.798573i \(0.705589\pi\)
\(272\) 5.07250 1.07819i 0.307565 0.0653750i
\(273\) 21.2566 15.4438i 1.28651 0.934704i
\(274\) 5.57666 0.336898
\(275\) 12.2225 + 23.4686i 0.737045 + 1.41521i
\(276\) 6.77988 + 11.7431i 0.408101 + 0.706852i
\(277\) 20.4343 14.8464i 1.22778 0.892034i 0.231058 0.972940i \(-0.425781\pi\)
0.996722 + 0.0809058i \(0.0257813\pi\)
\(278\) 0.159983 0.492376i 0.00959513 0.0295308i
\(279\) −6.98422 + 1.48454i −0.418134 + 0.0888772i
\(280\) −8.58941 5.21109i −0.513315 0.311422i
\(281\) 3.17905 3.53069i 0.189646 0.210623i −0.640822 0.767690i \(-0.721406\pi\)
0.830468 + 0.557066i \(0.188073\pi\)
\(282\) 8.83435 15.3015i 0.526078 0.911193i
\(283\) 20.4864 + 4.35453i 1.21779 + 0.258850i 0.771612 0.636093i \(-0.219451\pi\)
0.446180 + 0.894943i \(0.352784\pi\)
\(284\) 9.12110 + 6.62687i 0.541238 + 0.393232i
\(285\) −17.3659 18.8858i −1.02867 1.11870i
\(286\) −9.51173 + 6.91068i −0.562441 + 0.408637i
\(287\) 18.6123 8.28675i 1.09865 0.489151i
\(288\) −3.58924 + 1.59803i −0.211498 + 0.0941651i
\(289\) 9.03747 + 4.02374i 0.531616 + 0.236691i
\(290\) 5.08761 + 3.08660i 0.298755 + 0.181251i
\(291\) 3.55942 33.8656i 0.208657 1.98524i
\(292\) 0.0607219 + 0.186883i 0.00355348 + 0.0109365i
\(293\) −10.3729 −0.605989 −0.302994 0.952992i \(-0.597986\pi\)
−0.302994 + 0.952992i \(0.597986\pi\)
\(294\) 23.2262 25.7954i 1.35458 1.50442i
\(295\) 9.76301 20.7055i 0.568425 1.20552i
\(296\) −1.82965 + 5.63107i −0.106346 + 0.327299i
\(297\) −3.99873 + 12.3068i −0.232030 + 0.714114i
\(298\) 4.91253 + 2.18720i 0.284575 + 0.126701i
\(299\) 5.72217 9.91110i 0.330922 0.573173i
\(300\) 9.22323 9.38909i 0.532503 0.542079i
\(301\) −26.2106 + 45.3981i −1.51075 + 2.61670i
\(302\) −0.481919 4.58516i −0.0277313 0.263846i
\(303\) 5.20427 16.0171i 0.298977 0.920157i
\(304\) −4.18675 1.21289i −0.240127 0.0695638i
\(305\) −10.0021 + 3.01130i −0.572720 + 0.172427i
\(306\) −19.9294 4.23613i −1.13929 0.242163i
\(307\) 8.65264 14.9868i 0.493832 0.855342i −0.506143 0.862450i \(-0.668929\pi\)
0.999975 + 0.00710764i \(0.00226245\pi\)
\(308\) −15.9101 + 17.6700i −0.906564 + 1.00684i
\(309\) −9.02948 + 4.02018i −0.513669 + 0.228700i
\(310\) 1.73312 3.67563i 0.0984348 0.208762i
\(311\) 19.0234 13.8213i 1.07872 0.783736i 0.101261 0.994860i \(-0.467712\pi\)
0.977459 + 0.211123i \(0.0677122\pi\)
\(312\) 4.73110 + 3.43734i 0.267846 + 0.194601i
\(313\) 0.997165 9.48739i 0.0563631 0.536259i −0.929514 0.368787i \(-0.879773\pi\)
0.985877 0.167472i \(-0.0535603\pi\)
\(314\) 4.65279 + 2.07155i 0.262572 + 0.116905i
\(315\) 22.5020 + 32.4300i 1.26784 + 1.82723i
\(316\) −8.46263 6.14846i −0.476060 0.345878i
\(317\) 21.2332 23.5818i 1.19257 1.32449i 0.259095 0.965852i \(-0.416576\pi\)
0.933478 0.358635i \(-0.116758\pi\)
\(318\) 12.8020 22.1737i 0.717899 1.24344i
\(319\) 9.42377 10.4662i 0.527630 0.585993i
\(320\) 0.512307 2.17659i 0.0286388 0.121675i
\(321\) 4.76187 + 5.28859i 0.265782 + 0.295180i
\(322\) 7.15211 22.0119i 0.398572 1.22668i
\(323\) −13.8681 17.8504i −0.771643 0.993224i
\(324\) −5.35037 −0.297243
\(325\) −10.7548 2.77927i −0.596571 0.154166i
\(326\) 6.91662 11.9799i 0.383076 0.663507i
\(327\) 5.19144 + 2.31138i 0.287087 + 0.127820i
\(328\) 3.03424 + 3.36986i 0.167538 + 0.186069i
\(329\) −29.4991 + 6.27022i −1.62634 + 0.345689i
\(330\) −17.7574 25.5921i −0.977511 1.40880i
\(331\) 9.97702 + 30.7061i 0.548387 + 1.68776i 0.712799 + 0.701369i \(0.247427\pi\)
−0.164412 + 0.986392i \(0.552573\pi\)
\(332\) −3.09355 5.35819i −0.169781 0.294069i
\(333\) 15.5657 17.2874i 0.852994 0.947346i
\(334\) 8.06270 + 5.85789i 0.441171 + 0.320530i
\(335\) 0.457646 21.0628i 0.0250038 1.15078i
\(336\) 10.8043 + 4.81037i 0.589421 + 0.262427i
\(337\) 21.0683 9.38020i 1.14766 0.510972i 0.257348 0.966319i \(-0.417151\pi\)
0.890314 + 0.455346i \(0.150485\pi\)
\(338\) −0.842956 + 8.02019i −0.0458508 + 0.436241i
\(339\) 5.13915 + 48.8957i 0.279120 + 2.65565i
\(340\) 8.78391 7.57011i 0.476374 0.410547i
\(341\) −7.78088 5.65314i −0.421358 0.306135i
\(342\) 13.0890 + 11.0439i 0.707774 + 0.597187i
\(343\) −27.7965 −1.50087
\(344\) −11.4125 2.42579i −0.615319 0.130790i
\(345\) 25.9229 + 15.7271i 1.39564 + 0.846719i
\(346\) −12.8110 + 2.72307i −0.688725 + 0.146393i
\(347\) −0.278765 0.309600i −0.0149649 0.0166202i 0.735616 0.677399i \(-0.236893\pi\)
−0.750581 + 0.660779i \(0.770226\pi\)
\(348\) −6.39950 2.84924i −0.343049 0.152735i
\(349\) −20.6887 −1.10744 −0.553722 0.832702i \(-0.686793\pi\)
−0.553722 + 0.832702i \(0.686793\pi\)
\(350\) −22.4436 0.975755i −1.19966 0.0521563i
\(351\) −2.71613 4.70447i −0.144976 0.251106i
\(352\) −4.83460 2.15250i −0.257685 0.114729i
\(353\) −0.152401 + 0.469042i −0.00811149 + 0.0249646i −0.955030 0.296508i \(-0.904178\pi\)
0.946919 + 0.321473i \(0.104178\pi\)
\(354\) −8.32741 + 25.6291i −0.442597 + 1.36217i
\(355\) 25.0088 + 3.17918i 1.32733 + 0.168733i
\(356\) −8.49960 1.80665i −0.450478 0.0957521i
\(357\) 30.6657 + 53.1145i 1.62300 + 2.81112i
\(358\) −1.98345 0.421596i −0.104829 0.0222820i
\(359\) 24.1798 10.7655i 1.27616 0.568184i 0.347003 0.937864i \(-0.387200\pi\)
0.929159 + 0.369680i \(0.120533\pi\)
\(360\) −5.31706 + 6.99363i −0.280234 + 0.368596i
\(361\) 3.19732 + 18.7290i 0.168280 + 0.985739i
\(362\) −1.38596 1.00696i −0.0728445 0.0529247i
\(363\) −40.8961 + 18.2081i −2.14649 + 0.955678i
\(364\) −1.04337 9.92701i −0.0546875 0.520316i
\(365\) 0.320065 + 0.301031i 0.0167530 + 0.0157567i
\(366\) 11.2334 5.00143i 0.587179 0.261429i
\(367\) 1.54832 1.71958i 0.0808216 0.0897615i −0.701378 0.712790i \(-0.747431\pi\)
0.782199 + 0.623028i \(0.214098\pi\)
\(368\) 5.15133 0.268532
\(369\) −5.50546 16.9441i −0.286603 0.882073i
\(370\) 2.47067 + 13.0069i 0.128444 + 0.676195i
\(371\) −42.7475 + 9.08627i −2.21934 + 0.471736i
\(372\) −1.47828 + 4.54967i −0.0766451 + 0.235889i
\(373\) 21.1954 15.3994i 1.09746 0.797350i 0.116815 0.993154i \(-0.462731\pi\)
0.980643 + 0.195803i \(0.0627314\pi\)
\(374\) −13.7220 23.7672i −0.709549 1.22897i
\(375\) 7.98060 28.3271i 0.412116 1.46281i
\(376\) −3.35615 5.81303i −0.173080 0.299784i
\(377\) 0.618001 + 5.87989i 0.0318287 + 0.302830i
\(378\) −7.35110 8.16422i −0.378100 0.419922i
\(379\) −2.26682 + 6.97656i −0.116439 + 0.358362i −0.992244 0.124302i \(-0.960331\pi\)
0.875806 + 0.482664i \(0.160331\pi\)
\(380\) −9.51209 + 2.12606i −0.487960 + 0.109065i
\(381\) 10.4304 + 32.1013i 0.534363 + 1.64460i
\(382\) −11.8628 + 20.5469i −0.606952 + 1.05127i
\(383\) −6.72602 1.42966i −0.343684 0.0730522i 0.0328363 0.999461i \(-0.489546\pi\)
−0.376520 + 0.926409i \(0.622879\pi\)
\(384\) −0.275149 + 2.61786i −0.0140411 + 0.133592i
\(385\) −12.1813 + 51.7535i −0.620816 + 2.63760i
\(386\) −10.0377 4.46907i −0.510906 0.227470i
\(387\) 37.0856 + 26.9443i 1.88517 + 1.36965i
\(388\) −10.4657 7.60379i −0.531317 0.386024i
\(389\) −4.85494 2.16156i −0.246155 0.109595i 0.279951 0.960014i \(-0.409682\pi\)
−0.526106 + 0.850419i \(0.676348\pi\)
\(390\) 12.9720 + 1.64903i 0.656864 + 0.0835021i
\(391\) 21.6120 + 15.7020i 1.09297 + 0.794086i
\(392\) −4.07491 12.5413i −0.205814 0.633430i
\(393\) −21.3985 37.0633i −1.07941 1.86960i
\(394\) 5.74707 + 1.22158i 0.289533 + 0.0615422i
\(395\) −23.2034 2.94967i −1.16749 0.148414i
\(396\) 13.9128 + 15.4517i 0.699144 + 0.776478i
\(397\) 10.7347 + 11.9221i 0.538761 + 0.598354i 0.949643 0.313334i \(-0.101446\pi\)
−0.410882 + 0.911688i \(0.634779\pi\)
\(398\) 14.2267 10.3363i 0.713122 0.518114i
\(399\) −1.65876 51.5249i −0.0830418 2.57947i
\(400\) −1.33708 4.81791i −0.0668541 0.240895i
\(401\) −0.945021 + 1.63683i −0.0471921 + 0.0817391i −0.888657 0.458573i \(-0.848361\pi\)
0.841464 + 0.540312i \(0.181694\pi\)
\(402\) 2.59239 + 24.6650i 0.129297 + 1.23018i
\(403\) 3.94927 0.839443i 0.196727 0.0418156i
\(404\) −4.28110 4.75464i −0.212993 0.236552i
\(405\) −10.4884 + 5.75542i −0.521175 + 0.285989i
\(406\) 3.69486 + 11.3716i 0.183373 + 0.564364i
\(407\) 31.3339 1.55317
\(408\) −9.13400 + 10.1443i −0.452200 + 0.502219i
\(409\) −3.68346 + 35.0457i −0.182135 + 1.73290i 0.397131 + 0.917762i \(0.370006\pi\)
−0.579266 + 0.815138i \(0.696661\pi\)
\(410\) 9.57305 + 3.34207i 0.472779 + 0.165053i
\(411\) −11.8758 + 8.62831i −0.585792 + 0.425603i
\(412\) −0.392495 + 3.73434i −0.0193368 + 0.183978i
\(413\) 42.0201 18.7086i 2.06768 0.920589i
\(414\) −18.4894 8.23200i −0.908704 0.404581i
\(415\) −11.8282 7.17603i −0.580623 0.352257i
\(416\) 2.02956 0.903618i 0.0995073 0.0443035i
\(417\) 0.421120 + 1.29607i 0.0206223 + 0.0634690i
\(418\) 0.742248 + 23.0559i 0.0363045 + 1.12770i
\(419\) 4.89818 + 15.0751i 0.239292 + 0.736464i 0.996523 + 0.0833176i \(0.0265516\pi\)
−0.757231 + 0.653147i \(0.773448\pi\)
\(420\) 26.3544 2.19233i 1.28596 0.106975i
\(421\) −23.7091 26.3316i −1.15551 1.28332i −0.952634 0.304118i \(-0.901638\pi\)
−0.202875 0.979205i \(-0.565028\pi\)
\(422\) 3.24578 0.689912i 0.158002 0.0335844i
\(423\) 2.75663 + 26.2276i 0.134032 + 1.27523i
\(424\) −4.86345 8.42374i −0.236190 0.409093i
\(425\) 9.07608 24.2887i 0.440254 1.17818i
\(426\) −29.6771 −1.43786
\(427\) −19.1739 8.53677i −0.927890 0.413123i
\(428\) 2.64447 0.562099i 0.127825 0.0271701i
\(429\) 9.56350 29.4334i 0.461730 1.42106i
\(430\) −24.9815 + 7.52110i −1.20472 + 0.362700i
\(431\) 12.6816 14.0843i 0.610851 0.678418i −0.355787 0.934567i \(-0.615787\pi\)
0.966637 + 0.256149i \(0.0824537\pi\)
\(432\) 1.22258 2.11758i 0.0588216 0.101882i
\(433\) −16.6670 + 18.5106i −0.800964 + 0.889561i −0.995826 0.0912695i \(-0.970908\pi\)
0.194862 + 0.980831i \(0.437574\pi\)
\(434\) 7.45939 3.32113i 0.358062 0.159420i
\(435\) −15.6100 + 1.29854i −0.748443 + 0.0622604i
\(436\) 1.74656 1.26895i 0.0836449 0.0607716i
\(437\) −9.78823 20.2084i −0.468234 0.966698i
\(438\) −0.418459 0.304028i −0.0199948 0.0145270i
\(439\) −0.197598 1.88002i −0.00943084 0.0897284i 0.988794 0.149286i \(-0.0476976\pi\)
−0.998225 + 0.0595578i \(0.981031\pi\)
\(440\) −11.7928 + 0.981005i −0.562201 + 0.0467676i
\(441\) −5.41555 + 51.5255i −0.257883 + 2.45360i
\(442\) 11.2692 + 2.39534i 0.536022 + 0.113935i
\(443\) 10.2123 + 17.6882i 0.485201 + 0.840394i 0.999855 0.0170044i \(-0.00541294\pi\)
−0.514654 + 0.857398i \(0.672080\pi\)
\(444\) −4.81614 14.8226i −0.228564 0.703448i
\(445\) −18.6054 + 5.60146i −0.881979 + 0.265534i
\(446\) −8.05311 + 1.71174i −0.381326 + 0.0810533i
\(447\) −13.8456 + 2.94297i −0.654874 + 0.139198i
\(448\) 3.63488 2.64089i 0.171732 0.124771i
\(449\) 24.9125 1.17569 0.587846 0.808973i \(-0.299976\pi\)
0.587846 + 0.808973i \(0.299976\pi\)
\(450\) −2.90007 + 19.4293i −0.136710 + 0.915908i
\(451\) 11.9988 20.7826i 0.565003 0.978614i
\(452\) 17.0629 + 7.59691i 0.802573 + 0.357329i
\(453\) 8.12051 + 9.01874i 0.381535 + 0.423738i
\(454\) 14.0409 + 15.5939i 0.658970 + 0.731860i
\(455\) −12.7239 18.3378i −0.596504 0.859688i
\(456\) 10.7926 3.89490i 0.505407 0.182396i
\(457\) 6.47226 0.302760 0.151380 0.988476i \(-0.451628\pi\)
0.151380 + 0.988476i \(0.451628\pi\)
\(458\) −0.503563 0.107036i −0.0235300 0.00500145i
\(459\) 11.5840 5.15751i 0.540693 0.240732i
\(460\) 10.0983 5.54131i 0.470834 0.258365i
\(461\) 4.04166 + 38.4538i 0.188239 + 1.79097i 0.526760 + 0.850014i \(0.323407\pi\)
−0.338521 + 0.940959i \(0.609927\pi\)
\(462\) 6.54230 62.2458i 0.304375 2.89594i
\(463\) 5.23477 + 3.80328i 0.243280 + 0.176753i 0.702743 0.711443i \(-0.251958\pi\)
−0.459463 + 0.888197i \(0.651958\pi\)
\(464\) −2.15299 + 1.56424i −0.0999498 + 0.0726178i
\(465\) 1.99620 + 10.5090i 0.0925716 + 0.487343i
\(466\) 3.09999 29.4945i 0.143604 1.36631i
\(467\) 4.11075 + 12.6516i 0.190223 + 0.585446i 0.999999 0.00129309i \(-0.000411604\pi\)
−0.809776 + 0.586739i \(0.800412\pi\)
\(468\) −8.72859 −0.403479
\(469\) 28.3254 31.4586i 1.30795 1.45262i
\(470\) −12.8322 7.78517i −0.591907 0.359103i
\(471\) −13.1135 + 2.78737i −0.604240 + 0.128435i
\(472\) 6.85024 + 7.60796i 0.315308 + 0.350185i
\(473\) 6.45416 + 61.4073i 0.296763 + 2.82351i
\(474\) 27.5347 1.26471
\(475\) −16.3597 + 14.4000i −0.750636 + 0.660716i
\(476\) 23.2997 1.06794
\(477\) 3.99468 + 38.0068i 0.182904 + 1.74021i
\(478\) 13.9073 + 15.4456i 0.636105 + 0.706466i
\(479\) 10.0018 2.12594i 0.456992 0.0971366i 0.0263367 0.999653i \(-0.491616\pi\)
0.430655 + 0.902516i \(0.358282\pi\)
\(480\) 2.27667 + 5.42783i 0.103915 + 0.247746i
\(481\) −8.80171 + 9.77529i −0.401323 + 0.445715i
\(482\) −5.63315 −0.256583
\(483\) 18.8264 + 57.9417i 0.856630 + 2.63644i
\(484\) −1.77768 + 16.9135i −0.0808036 + 0.768795i
\(485\) −28.6956 3.64785i −1.30300 0.165640i
\(486\) 17.3285 12.5899i 0.786036 0.571089i
\(487\) 18.7672 + 13.6352i 0.850422 + 0.617868i 0.925262 0.379328i \(-0.123845\pi\)
−0.0748402 + 0.997196i \(0.523845\pi\)
\(488\) 0.488295 4.64582i 0.0221041 0.210306i
\(489\) 3.80619 + 36.2135i 0.172122 + 1.63763i
\(490\) −21.4788 20.2015i −0.970315 0.912612i
\(491\) 28.4390 12.6619i 1.28344 0.571422i 0.352229 0.935914i \(-0.385424\pi\)
0.931207 + 0.364492i \(0.118757\pi\)
\(492\) −11.6755 2.48170i −0.526372 0.111884i
\(493\) −13.8007 −0.621552
\(494\) −7.40128 6.24485i −0.332999 0.280969i
\(495\) 43.8950 + 15.3243i 1.97293 + 0.688775i
\(496\) 1.21605 + 1.35056i 0.0546023 + 0.0606420i
\(497\) 33.8948 + 37.6440i 1.52039 + 1.68856i
\(498\) 14.8782 + 6.62420i 0.666708 + 0.296838i
\(499\) −15.1244 + 26.1963i −0.677062 + 1.17271i 0.298799 + 0.954316i \(0.403414\pi\)
−0.975862 + 0.218390i \(0.929919\pi\)
\(500\) −7.80375 8.00634i −0.348994 0.358054i
\(501\) −26.2334 −1.17202
\(502\) 16.0960 11.6944i 0.718400 0.521948i
\(503\) 28.7487 6.11072i 1.28184 0.272463i 0.483858 0.875146i \(-0.339235\pi\)
0.797981 + 0.602683i \(0.205902\pi\)
\(504\) −17.2667 + 3.67015i −0.769120 + 0.163482i
\(505\) −13.5069 4.71543i −0.601050 0.209834i
\(506\) −8.42427 25.9273i −0.374505 1.15261i
\(507\) −10.6138 18.3837i −0.471378 0.816450i
\(508\) 12.5426 + 2.66602i 0.556489 + 0.118285i
\(509\) 2.13689 20.3312i 0.0947162 0.901164i −0.839236 0.543767i \(-0.816998\pi\)
0.933952 0.357397i \(-0.116336\pi\)
\(510\) −6.99327 + 29.7116i −0.309667 + 1.31565i
\(511\) 0.0922847 + 0.878030i 0.00408244 + 0.0388418i
\(512\) 0.809017 + 0.587785i 0.0357538 + 0.0259767i
\(513\) −10.6302 0.772445i −0.469336 0.0341043i
\(514\) −10.1519 + 7.37579i −0.447781 + 0.325332i
\(515\) 3.24763 + 7.74272i 0.143108 + 0.341185i
\(516\) 28.0568 12.4917i 1.23513 0.549915i
\(517\) −23.7691 + 26.3983i −1.04536 + 1.16100i
\(518\) −13.3011 + 23.0382i −0.584416 + 1.01224i
\(519\) 23.0687 25.6204i 1.01260 1.12461i
\(520\) 3.00656 3.95459i 0.131846 0.173420i
\(521\) −1.89162 + 5.82181i −0.0828734 + 0.255058i −0.983904 0.178697i \(-0.942812\pi\)
0.901031 + 0.433755i \(0.142812\pi\)
\(522\) 10.2273 2.17388i 0.447636 0.0951480i
\(523\) 7.62910 + 3.39670i 0.333597 + 0.148527i 0.566698 0.823925i \(-0.308221\pi\)
−0.233101 + 0.972453i \(0.574887\pi\)
\(524\) −16.2585 −0.710256
\(525\) 49.3047 32.6472i 2.15183 1.42484i
\(526\) −2.89412 5.01277i −0.126190 0.218567i
\(527\) 0.985128 + 9.37287i 0.0429129 + 0.408289i
\(528\) 13.6260 2.89629i 0.592995 0.126045i
\(529\) 2.36620 + 2.62793i 0.102878 + 0.114258i
\(530\) −18.5954 11.2816i −0.807732 0.490042i
\(531\) −12.4294 38.2537i −0.539390 1.66007i
\(532\) −17.2668 9.24137i −0.748613 0.400664i
\(533\) 3.11309 + 9.58112i 0.134843 + 0.415004i
\(534\) 20.8957 9.30337i 0.904246 0.402596i
\(535\) 4.57935 3.94656i 0.197983 0.170625i
\(536\) 8.60723 + 3.83219i 0.371776 + 0.165525i
\(537\) 4.87619 2.17102i 0.210423 0.0936863i
\(538\) 1.95264 18.5782i 0.0841845 0.800962i
\(539\) −56.4578 + 41.0190i −2.43181 + 1.76681i
\(540\) 0.118770 5.46628i 0.00511103 0.235231i
\(541\) 1.79516 17.0798i 0.0771800 0.734318i −0.885676 0.464303i \(-0.846305\pi\)
0.962856 0.270015i \(-0.0870286\pi\)
\(542\) −4.20139 + 4.66612i −0.180465 + 0.200427i
\(543\) 4.50948 0.193520
\(544\) 1.60251 + 4.93201i 0.0687069 + 0.211458i
\(545\) 2.05880 4.36632i 0.0881893 0.187033i
\(546\) 17.5812 + 19.5259i 0.752404 + 0.835629i
\(547\) −13.8026 + 2.93383i −0.590156 + 0.125441i −0.493303 0.869857i \(-0.664211\pi\)
−0.0968522 + 0.995299i \(0.530877\pi\)
\(548\) 0.582920 + 5.54611i 0.0249011 + 0.236918i
\(549\) −9.17679 + 15.8947i −0.391656 + 0.678368i
\(550\) −22.0625 + 14.6087i −0.940747 + 0.622917i
\(551\) 10.2274 + 5.47378i 0.435701 + 0.233191i
\(552\) −10.9701 + 7.97023i −0.466918 + 0.339236i
\(553\) −31.4479 34.9264i −1.33730 1.48522i
\(554\) 16.9010 + 18.7705i 0.718057 + 0.797483i
\(555\) −25.3859 23.8762i −1.07757 1.01349i
\(556\) 0.506402 + 0.107639i 0.0214762 + 0.00456491i
\(557\) −22.0945 38.2688i −0.936174 1.62150i −0.772527 0.634982i \(-0.781008\pi\)
−0.163647 0.986519i \(-0.552326\pi\)
\(558\) −2.20646 6.79078i −0.0934068 0.287477i
\(559\) −20.9703 15.2358i −0.886948 0.644405i
\(560\) 4.28471 9.08706i 0.181062 0.383998i
\(561\) 65.9950 + 29.3829i 2.78631 + 1.24055i
\(562\) 3.84365 + 2.79258i 0.162135 + 0.117798i
\(563\) −31.1842 22.6567i −1.31426 0.954865i −0.999985 0.00553278i \(-0.998239\pi\)
−0.314274 0.949332i \(-0.601761\pi\)
\(564\) 16.1412 + 7.18650i 0.679665 + 0.302606i
\(565\) 41.6209 3.46230i 1.75100 0.145660i
\(566\) −2.18926 + 20.8294i −0.0920213 + 0.875524i
\(567\) −23.5137 4.99799i −0.987481 0.209896i
\(568\) −5.63715 + 9.76383i −0.236530 + 0.409681i
\(569\) −3.97334 12.2287i −0.166571 0.512653i 0.832577 0.553909i \(-0.186864\pi\)
−0.999149 + 0.0412552i \(0.986864\pi\)
\(570\) 16.9671 19.2449i 0.710674 0.806078i
\(571\) −2.69876 + 8.30593i −0.112940 + 0.347592i −0.991512 0.130017i \(-0.958497\pi\)
0.878572 + 0.477610i \(0.158497\pi\)
\(572\) −7.86707 8.73726i −0.328939 0.365323i
\(573\) −6.52804 62.1102i −0.272713 2.59469i
\(574\) 10.1869 + 17.6442i 0.425192 + 0.736454i
\(575\) 13.8350 21.7255i 0.576961 0.906016i
\(576\) −1.96446 3.40254i −0.0818524 0.141773i
\(577\) 18.5867 13.5040i 0.773775 0.562181i −0.129329 0.991602i \(-0.541282\pi\)
0.903104 + 0.429421i \(0.141282\pi\)
\(578\) −3.05703 + 9.40856i −0.127155 + 0.391344i
\(579\) 28.2905 6.01334i 1.17571 0.249906i
\(580\) −2.53789 + 5.38238i −0.105380 + 0.223491i
\(581\) −8.59019 26.4379i −0.356381 1.09683i
\(582\) 34.0521 1.41151
\(583\) −34.4442 + 38.2541i −1.42653 + 1.58432i
\(584\) −0.179512 + 0.0799238i −0.00742825 + 0.00330727i
\(585\) −17.1108 + 9.38939i −0.707446 + 0.388203i
\(586\) −1.08426 10.3160i −0.0447903 0.426151i
\(587\) 0.697324 0.310469i 0.0287817 0.0128144i −0.392295 0.919839i \(-0.628319\pi\)
0.421077 + 0.907025i \(0.361652\pi\)
\(588\) 28.0819 + 20.4027i 1.15808 + 0.841392i
\(589\) 2.98751 7.33674i 0.123098 0.302305i
\(590\) 21.6126 + 7.54522i 0.889776 + 0.310632i
\(591\) −14.1288 + 6.29054i −0.581181 + 0.258758i
\(592\) −5.79147 1.23102i −0.238028 0.0505944i
\(593\) −0.199860 0.346168i −0.00820727 0.0142154i 0.861893 0.507091i \(-0.169279\pi\)
−0.870100 + 0.492875i \(0.835946\pi\)
\(594\) −12.6574 2.69041i −0.519339 0.110389i
\(595\) 45.6749 25.0636i 1.87249 1.02751i
\(596\) −1.66172 + 5.11424i −0.0680666 + 0.209487i
\(597\) −14.3042 + 44.0237i −0.585431 + 1.80177i
\(598\) 10.4549 + 4.65484i 0.427534 + 0.190350i
\(599\) 23.2220 + 40.2217i 0.948826 + 1.64341i 0.747904 + 0.663807i \(0.231060\pi\)
0.200922 + 0.979607i \(0.435606\pi\)
\(600\) 10.3017 + 8.19127i 0.420567 + 0.334407i
\(601\) −2.28005 −0.0930053 −0.0465027 0.998918i \(-0.514808\pi\)
−0.0465027 + 0.998918i \(0.514808\pi\)
\(602\) −47.8892 21.3216i −1.95182 0.869005i
\(603\) −24.7695 27.5093i −1.00869 1.12027i
\(604\) 4.50967 0.958559i 0.183496 0.0390032i
\(605\) 14.7091 + 35.0681i 0.598010 + 1.42572i
\(606\) 16.4733 + 3.50152i 0.669183 + 0.142239i
\(607\) −0.248201 −0.0100742 −0.00503709 0.999987i \(-0.501603\pi\)
−0.00503709 + 0.999987i \(0.501603\pi\)
\(608\) 0.768607 4.29060i 0.0311711 0.174007i
\(609\) −25.4628 18.4998i −1.03180 0.749650i
\(610\) −4.04031 9.63256i −0.163588 0.390011i
\(611\) −1.55875 14.8306i −0.0630605 0.599980i
\(612\) 2.12973 20.2630i 0.0860893 0.819085i
\(613\) 29.7555 13.2480i 1.20181 0.535082i 0.294547 0.955637i \(-0.404831\pi\)
0.907267 + 0.420555i \(0.138165\pi\)
\(614\) 15.8092 + 7.03869i 0.638005 + 0.284058i
\(615\) −25.5573 + 7.69445i −1.03057 + 0.310270i
\(616\) −19.2363 13.9760i −0.775051 0.563108i
\(617\) 12.9260 14.3558i 0.520382 0.577943i −0.424469 0.905442i \(-0.639539\pi\)
0.944851 + 0.327499i \(0.106206\pi\)
\(618\) −4.94200 8.55979i −0.198796 0.344325i
\(619\) −7.80253 24.0137i −0.313610 0.965193i −0.976323 0.216319i \(-0.930595\pi\)
0.662713 0.748874i \(-0.269405\pi\)
\(620\) 3.83665 + 1.33942i 0.154084 + 0.0537925i
\(621\) 12.3206 2.61883i 0.494410 0.105090i
\(622\) 15.7341 + 17.4745i 0.630881 + 0.700664i
\(623\) −35.6662 15.8796i −1.42894 0.636203i
\(624\) −2.92398 + 5.06448i −0.117053 + 0.202741i
\(625\) −23.9103 7.30046i −0.956413 0.292018i
\(626\) 9.53965 0.381281
\(627\) −37.2532 47.9506i −1.48775 1.91496i
\(628\) −1.57386 + 4.84383i −0.0628037 + 0.193290i
\(629\) −20.5453 22.8179i −0.819196 0.909809i
\(630\) −29.9003 + 25.7686i −1.19126 + 1.02664i
\(631\) 21.4275 23.7977i 0.853017 0.947371i −0.146105 0.989269i \(-0.546674\pi\)
0.999122 + 0.0418978i \(0.0133404\pi\)
\(632\) 5.23020 9.05896i 0.208046 0.360346i
\(633\) −5.84465 + 6.49114i −0.232304 + 0.258000i
\(634\) 25.6721 + 18.6519i 1.01957 + 0.740760i
\(635\) 27.4554 8.26591i 1.08954 0.328023i
\(636\) 23.3904 + 10.4141i 0.927489 + 0.412945i
\(637\) 3.06226 29.1354i 0.121331 1.15439i
\(638\) 11.3939 + 8.27814i 0.451088 + 0.327735i
\(639\) 35.8360 26.0364i 1.41765 1.02998i
\(640\) 2.21822 + 0.281985i 0.0876827 + 0.0111464i
\(641\) 2.16021 0.961789i 0.0853233 0.0379884i −0.363631 0.931543i \(-0.618463\pi\)
0.448955 + 0.893555i \(0.351797\pi\)
\(642\) −4.76187 + 5.28859i −0.187936 + 0.208724i
\(643\) 3.30920 5.73170i 0.130502 0.226036i −0.793368 0.608742i \(-0.791674\pi\)
0.923870 + 0.382706i \(0.125008\pi\)
\(644\) 22.6390 + 4.81206i 0.892100 + 0.189622i
\(645\) 41.5629 54.6685i 1.63654 2.15257i
\(646\) 16.3030 15.6580i 0.641433 0.616057i
\(647\) 10.0344 30.8828i 0.394494 1.21413i −0.534860 0.844941i \(-0.679636\pi\)
0.929355 0.369188i \(-0.120364\pi\)
\(648\) −0.559266 5.32106i −0.0219700 0.209031i
\(649\) 27.0892 46.9198i 1.06334 1.84176i
\(650\) 1.63986 10.9864i 0.0643206 0.430923i
\(651\) −10.7467 + 18.6139i −0.421197 + 0.729534i
\(652\) 12.6373 + 5.62648i 0.494914 + 0.220350i
\(653\) 0.856319 2.63548i 0.0335104 0.103134i −0.932902 0.360130i \(-0.882732\pi\)
0.966413 + 0.256995i \(0.0827325\pi\)
\(654\) −1.75606 + 5.40461i −0.0686675 + 0.211337i
\(655\) −31.8719 + 17.4894i −1.24534 + 0.683366i
\(656\) −3.03424 + 3.36986i −0.118467 + 0.131571i
\(657\) 0.772032 0.0301199
\(658\) −9.31937 28.6821i −0.363307 1.11814i
\(659\) −1.84647 + 17.5680i −0.0719283 + 0.684352i 0.897840 + 0.440323i \(0.145136\pi\)
−0.969768 + 0.244029i \(0.921531\pi\)
\(660\) 23.5957 20.3352i 0.918463 0.791546i
\(661\) 19.6161 + 8.73365i 0.762978 + 0.339699i 0.751064 0.660230i \(-0.229541\pi\)
0.0119137 + 0.999929i \(0.496208\pi\)
\(662\) −29.4950 + 13.1320i −1.14636 + 0.510391i
\(663\) −27.7046 + 12.3349i −1.07596 + 0.479047i
\(664\) 5.00548 3.63669i 0.194250 0.141131i
\(665\) −43.7896 + 0.457967i −1.69809 + 0.0177592i
\(666\) 18.8198 + 13.6734i 0.729252 + 0.529833i
\(667\) −13.4093 2.85024i −0.519212 0.110362i
\(668\) −4.98302 + 8.63084i −0.192799 + 0.333937i
\(669\) 14.5012 16.1052i 0.560647 0.622662i
\(670\) 20.9952 1.74652i 0.811117 0.0674740i
\(671\) −24.1815 + 5.13993i −0.933516 + 0.198425i
\(672\) −3.65466 + 11.2479i −0.140982 + 0.433897i
\(673\) −31.7095 + 23.0383i −1.22231 + 0.888061i −0.996290 0.0860614i \(-0.972572\pi\)
−0.226021 + 0.974122i \(0.572572\pi\)
\(674\) 11.5311 + 19.9724i 0.444160 + 0.769307i
\(675\) −5.64727 10.8434i −0.217364 0.417363i
\(676\) −8.06437 −0.310168
\(677\) −24.4049 + 17.7312i −0.937957 + 0.681465i −0.947928 0.318485i \(-0.896826\pi\)
0.00997127 + 0.999950i \(0.496826\pi\)
\(678\) −48.0907 + 10.2220i −1.84691 + 0.392573i
\(679\) −38.8915 43.1934i −1.49252 1.65761i
\(680\) 8.44681 + 7.94450i 0.323921 + 0.304658i
\(681\) −54.0281 11.4840i −2.07036 0.440069i
\(682\) 4.80885 8.32917i 0.184140 0.318940i
\(683\) 8.80075 + 27.0859i 0.336751 + 1.03641i 0.965853 + 0.259091i \(0.0834228\pi\)
−0.629102 + 0.777323i \(0.716577\pi\)
\(684\) −9.61524 + 14.1717i −0.367648 + 0.541870i
\(685\) 7.10869 + 10.2451i 0.271609 + 0.391446i
\(686\) −2.90553 27.6442i −0.110933 1.05546i
\(687\) 1.23798 0.551183i 0.0472317 0.0210289i
\(688\) 1.21958 11.6035i 0.0464960 0.442379i
\(689\) −2.25881 21.4912i −0.0860539 0.818748i
\(690\) −12.9313 + 27.4248i −0.492285 + 1.04404i
\(691\) 1.52694 + 1.10939i 0.0580876 + 0.0422031i 0.616450 0.787394i \(-0.288570\pi\)
−0.558363 + 0.829597i \(0.688570\pi\)
\(692\) −4.04727 12.4562i −0.153854 0.473514i
\(693\) 46.7096 + 80.9033i 1.77435 + 3.07326i
\(694\) 0.278765 0.309600i 0.0105818 0.0117523i
\(695\) 1.10850 0.333732i 0.0420477 0.0126592i
\(696\) 2.16470 6.66227i 0.0820529 0.252533i
\(697\) −23.0017 + 4.88917i −0.871253 + 0.185190i
\(698\) −2.16256 20.5754i −0.0818542 0.778791i
\(699\) 39.0327 + 67.6067i 1.47635 + 2.55712i
\(700\) −1.37558 22.4226i −0.0519922 0.847496i
\(701\) −22.8862 + 39.6400i −0.864399 + 1.49718i 0.00324423 + 0.999995i \(0.498967\pi\)
−0.867643 + 0.497188i \(0.834366\pi\)
\(702\) 4.39479 3.19300i 0.165871 0.120512i
\(703\) 6.17538 + 25.0587i 0.232909 + 0.945107i
\(704\) 1.63536 5.03312i 0.0616349 0.189693i
\(705\) 39.3724 3.27526i 1.48285 0.123353i
\(706\) −0.482403 0.102538i −0.0181555 0.00385907i
\(707\) −14.3730 24.8947i −0.540552 0.936263i
\(708\) −26.3592 5.60282i −0.990639 0.210567i
\(709\) −0.220463 + 2.09757i −0.00827967 + 0.0787758i −0.997881 0.0650585i \(-0.979277\pi\)
0.989602 + 0.143834i \(0.0459433\pi\)
\(710\) −0.547628 + 25.2041i −0.0205521 + 0.945895i
\(711\) −33.2490 + 24.1568i −1.24693 + 0.905951i
\(712\) 0.908299 8.64189i 0.0340399 0.323868i
\(713\) −0.978576 + 9.31053i −0.0366480 + 0.348682i
\(714\) −49.6181 + 36.0497i −1.85691 + 1.34913i
\(715\) −24.8207 8.66520i −0.928241 0.324060i
\(716\) 0.211959 2.01666i 0.00792128 0.0753660i
\(717\) −53.5142 11.3748i −1.99852 0.424799i
\(718\) 13.2340 + 22.9220i 0.493890 + 0.855443i
\(719\) −8.50039 1.80681i −0.317011 0.0673828i 0.0466581 0.998911i \(-0.485143\pi\)
−0.363669 + 0.931528i \(0.618476\pi\)
\(720\) −7.51110 4.55690i −0.279922 0.169826i
\(721\) −5.21332 + 16.0450i −0.194154 + 0.597545i
\(722\) −18.2922 + 5.13752i −0.680767 + 0.191199i
\(723\) 11.9961 8.71571i 0.446141 0.324141i
\(724\) 0.856571 1.48363i 0.0318342 0.0551385i
\(725\) 0.814776 + 13.2812i 0.0302600 + 0.493252i
\(726\) −22.3832 38.7688i −0.830717 1.43884i
\(727\) 3.17550 + 30.2129i 0.117773 + 1.12053i 0.880577 + 0.473904i \(0.157156\pi\)
−0.762804 + 0.646630i \(0.776178\pi\)
\(728\) 9.76356 2.07531i 0.361862 0.0769161i
\(729\) −12.4627 + 38.3564i −0.461583 + 1.42061i
\(730\) −0.265926 + 0.349778i −0.00984238 + 0.0129459i
\(731\) 40.4858 44.9641i 1.49742 1.66306i
\(732\) 6.14824 + 10.6491i 0.227245 + 0.393601i
\(733\) −10.8632 33.4335i −0.401241 1.23489i −0.923993 0.382409i \(-0.875095\pi\)
0.522752 0.852485i \(-0.324905\pi\)
\(734\) 1.87201 + 1.36009i 0.0690970 + 0.0502019i
\(735\) 76.9967 + 9.78799i 2.84007 + 0.361035i
\(736\) 0.538461 + 5.12311i 0.0198479 + 0.188840i
\(737\) 5.21193 49.5882i 0.191984 1.82660i
\(738\) 16.2758 7.24644i 0.599119 0.266745i
\(739\) −3.12648 29.7465i −0.115010 1.09424i −0.888006 0.459832i \(-0.847910\pi\)
0.772996 0.634410i \(-0.218757\pi\)
\(740\) −12.6774 + 3.81673i −0.466029 + 0.140306i
\(741\) 25.4236 + 1.84741i 0.933960 + 0.0678662i
\(742\) −13.5048 41.5636i −0.495778 1.52585i
\(743\) 20.4472 35.4157i 0.750136 1.29927i −0.197620 0.980279i \(-0.563321\pi\)
0.947756 0.318996i \(-0.103346\pi\)
\(744\) −4.67926 0.994608i −0.171550 0.0364641i
\(745\) 2.24391 + 11.8131i 0.0822105 + 0.432797i
\(746\) 17.5306 + 19.4697i 0.641839 + 0.712835i
\(747\) −23.7774 + 5.05405i −0.869971 + 0.184918i
\(748\) 22.2027 16.1312i 0.811811 0.589815i
\(749\) 12.1469 0.443839
\(750\) 29.0061 + 4.97589i 1.05915 + 0.181694i
\(751\) −14.4123 24.9629i −0.525913 0.910908i −0.999544 0.0301851i \(-0.990390\pi\)
0.473631 0.880723i \(-0.342943\pi\)
\(752\) 5.43037 3.94539i 0.198025 0.143874i
\(753\) −16.1836 + 49.8081i −0.589764 + 1.81511i
\(754\) −5.78308 + 1.22923i −0.210607 + 0.0447660i
\(755\) 7.80927 6.73015i 0.284208 0.244935i
\(756\) 7.35110 8.16422i 0.267357 0.296930i
\(757\) 8.34515 14.4542i 0.303310 0.525348i −0.673574 0.739120i \(-0.735242\pi\)
0.976884 + 0.213772i \(0.0685750\pi\)
\(758\) −7.17529 1.52516i −0.260618 0.0553961i
\(759\) 58.0551 + 42.1795i 2.10727 + 1.53102i
\(760\) −3.10870 9.23775i −0.112764 0.335088i
\(761\) −25.1793 + 18.2939i −0.912750 + 0.663152i −0.941709 0.336429i \(-0.890781\pi\)
0.0289590 + 0.999581i \(0.490781\pi\)
\(762\) −30.8352 + 13.7287i −1.11704 + 0.497339i
\(763\) 8.86110 3.94522i 0.320793 0.142826i
\(764\) −21.6743 9.65004i −0.784150 0.349126i
\(765\) −17.6221 42.0130i −0.637128 1.51898i
\(766\) 0.718767 6.83861i 0.0259701 0.247089i
\(767\) 7.02827 + 21.6308i 0.253776 + 0.781043i
\(768\) −2.63228 −0.0949843
\(769\) 23.3148 25.8937i 0.840753 0.933750i −0.157803 0.987471i \(-0.550441\pi\)
0.998556 + 0.0537201i \(0.0171079\pi\)
\(770\) −52.7433 6.70484i −1.90074 0.241626i
\(771\) 10.2072 31.4144i 0.367602 1.13136i
\(772\) 3.39537 10.4499i 0.122202 0.376099i
\(773\) −15.3444 6.83175i −0.551898 0.245721i 0.111788 0.993732i \(-0.464342\pi\)
−0.663686 + 0.748011i \(0.731009\pi\)
\(774\) −22.9202 + 39.6989i −0.823848 + 1.42695i
\(775\) 8.96190 1.50141i 0.321921 0.0539322i
\(776\) 6.46817 11.2032i 0.232194 0.402172i
\(777\) −7.31955 69.6408i −0.262587 2.49835i
\(778\) 1.64224 5.05428i 0.0588770 0.181205i
\(779\) 18.9852 + 5.49995i 0.680217 + 0.197056i
\(780\) −0.284053 + 13.0733i −0.0101707 + 0.468101i
\(781\) 58.3612 + 12.4051i 2.08833 + 0.443888i
\(782\) −13.3569 + 23.1349i −0.477643 + 0.827303i
\(783\) −4.35415 + 4.83577i −0.155605 + 0.172816i
\(784\) 12.0466 5.36351i 0.430237 0.191554i
\(785\) 2.12527 + 11.1885i 0.0758541 + 0.399334i
\(786\) 34.6235 25.1555i 1.23498 0.897265i
\(787\) −16.0689 11.6747i −0.572793 0.416159i 0.263326 0.964707i \(-0.415181\pi\)
−0.836119 + 0.548548i \(0.815181\pi\)
\(788\) −0.614153 + 5.84328i −0.0218783 + 0.208158i
\(789\) 13.9191 + 6.19716i 0.495531 + 0.220625i
\(790\) 0.508094 23.3846i 0.0180772 0.831988i
\(791\) 67.8913 + 49.3259i 2.41394 + 1.75383i
\(792\) −13.9128 + 15.4517i −0.494369 + 0.549053i
\(793\) 5.18907 8.98773i 0.184269 0.319164i
\(794\) −10.7347 + 11.9221i −0.380961 + 0.423100i
\(795\) 57.0551 4.74622i 2.02354 0.168331i
\(796\) 11.7668 + 13.0684i 0.417064 + 0.463196i
\(797\) 10.0772 31.0145i 0.356953 1.09859i −0.597915 0.801560i \(-0.704004\pi\)
0.954868 0.297030i \(-0.0959961\pi\)
\(798\) 51.0692 7.03549i 1.80783 0.249054i
\(799\) 34.8088 1.23145
\(800\) 4.65175 1.83337i 0.164464 0.0648193i
\(801\) −17.0701 + 29.5663i −0.603144 + 1.04468i
\(802\) −1.72664 0.768750i −0.0609698 0.0271455i
\(803\) 0.695832 + 0.772799i 0.0245554 + 0.0272715i
\(804\) −24.2589 + 5.15638i −0.855544 + 0.181852i
\(805\) 49.5560 14.9196i 1.74662 0.525849i
\(806\) 1.24765 + 3.83989i 0.0439468 + 0.135254i
\(807\) 24.5862 + 42.5845i 0.865475 + 1.49905i
\(808\) 4.28110 4.75464i 0.150609 0.167268i
\(809\) −42.4318 30.8285i −1.49182 1.08387i −0.973499 0.228690i \(-0.926556\pi\)
−0.518325 0.855184i \(-0.673444\pi\)
\(810\) −6.82023 9.82938i −0.239638 0.345369i
\(811\) 42.5546 + 18.9465i 1.49429 + 0.665302i 0.981194 0.193026i \(-0.0618303\pi\)
0.513100 + 0.858329i \(0.328497\pi\)
\(812\) −10.9231 + 4.86328i −0.383326 + 0.170668i
\(813\) 1.72762 16.4372i 0.0605904 0.576479i
\(814\) 3.27529 + 31.1623i 0.114799 + 1.09224i
\(815\) 30.8256 2.56427i 1.07977 0.0898226i
\(816\) −11.0435 8.02359i −0.386601 0.280882i
\(817\) −47.8373 + 17.2639i −1.67361 + 0.603987i
\(818\) −35.2388 −1.23209
\(819\) −38.3602 8.15372i −1.34041 0.284914i
\(820\) −2.32310 + 9.86995i −0.0811263 + 0.344674i
\(821\) 31.3199 6.65725i 1.09307 0.232340i 0.374107 0.927386i \(-0.377949\pi\)
0.718965 + 0.695046i \(0.244616\pi\)
\(822\) −9.82240 10.9089i −0.342596 0.380491i
\(823\) −12.2828 5.46864i −0.428150 0.190625i 0.181336 0.983421i \(-0.441958\pi\)
−0.609487 + 0.792796i \(0.708624\pi\)
\(824\) −3.75491 −0.130809
\(825\) 24.3806 65.2455i 0.848823 2.27156i
\(826\) 22.9984 + 39.8344i 0.800216 + 1.38602i
\(827\) −16.4645 7.33046i −0.572526 0.254905i 0.0999887 0.994989i \(-0.468119\pi\)
−0.672515 + 0.740083i \(0.734786\pi\)
\(828\) 6.25424 19.2486i 0.217350 0.668934i
\(829\) 4.45764 13.7192i 0.154820 0.476487i −0.843322 0.537408i \(-0.819404\pi\)
0.998143 + 0.0609205i \(0.0194036\pi\)
\(830\) 5.90034 12.5135i 0.204804 0.434350i
\(831\) −65.0339 13.8234i −2.25600 0.479528i
\(832\) 1.11081 + 1.92399i 0.0385106 + 0.0667022i
\(833\) 66.8894 + 14.2178i 2.31758 + 0.492617i
\(834\) −1.24495 + 0.554290i −0.0431093 + 0.0191935i
\(835\) −0.484082 + 22.2795i −0.0167523 + 0.771013i
\(836\) −22.8520 + 3.14818i −0.790354 + 0.108882i
\(837\) 3.59507 + 2.61197i 0.124264 + 0.0902829i
\(838\) −14.4805 + 6.44712i −0.500219 + 0.222712i
\(839\) 2.54751 + 24.2380i 0.0879499 + 0.836787i 0.946206 + 0.323565i \(0.104882\pi\)
−0.858256 + 0.513222i \(0.828452\pi\)
\(840\) 4.93510 + 25.9808i 0.170277 + 0.896424i
\(841\) −20.0229 + 8.91478i −0.690446 + 0.307406i
\(842\) 23.7091 26.3316i 0.817068 0.907446i
\(843\) −12.5060 −0.430730
\(844\) 1.02541 + 3.15589i 0.0352961 + 0.108630i
\(845\) −15.8087 + 8.67488i −0.543838 + 0.298425i
\(846\) −25.7958 + 5.48306i −0.886878 + 0.188512i
\(847\) −23.6120 + 72.6704i −0.811319 + 2.49698i
\(848\) 7.86922 5.71733i 0.270230 0.196334i
\(849\) −27.5654 47.7447i −0.946043 1.63859i
\(850\) 25.1044 + 6.48749i 0.861074 + 0.222519i
\(851\) −15.2501 26.4140i −0.522768 0.905461i
\(852\) −3.10211 29.5146i −0.106276 1.01115i
\(853\) 16.3956 + 18.2092i 0.561376 + 0.623471i 0.955288 0.295677i \(-0.0955453\pi\)
−0.393912 + 0.919148i \(0.628879\pi\)
\(854\) 6.48579 19.9612i 0.221939 0.683058i
\(855\) −3.60435 + 38.1243i −0.123266 + 1.30382i
\(856\) 0.835442 + 2.57123i 0.0285548 + 0.0878827i
\(857\) −4.53854 + 7.86098i −0.155034 + 0.268526i −0.933071 0.359692i \(-0.882882\pi\)
0.778038 + 0.628218i \(0.216215\pi\)
\(858\) 30.2719 + 6.43448i 1.03346 + 0.219670i
\(859\) 0.0604931 0.575553i 0.00206400 0.0196376i −0.993441 0.114342i \(-0.963524\pi\)
0.995505 + 0.0947046i \(0.0301906\pi\)
\(860\) −10.0912 24.0585i −0.344106 0.820388i
\(861\) −48.9930 21.8131i −1.66968 0.743388i
\(862\) 15.3328 + 11.1399i 0.522236 + 0.379427i
\(863\) −2.69085 1.95502i −0.0915978 0.0665497i 0.541044 0.840994i \(-0.318029\pi\)
−0.632642 + 0.774445i \(0.718029\pi\)
\(864\) 2.23377 + 0.994540i 0.0759945 + 0.0338349i
\(865\) −21.3331 20.0645i −0.725349 0.682214i
\(866\) −20.1513 14.6408i −0.684770 0.497515i
\(867\) −8.04696 24.7660i −0.273289 0.841097i
\(868\) 4.08266 + 7.07137i 0.138574 + 0.240018i
\(869\) −54.1481 11.5095i −1.83685 0.390434i
\(870\) −2.92312 15.3888i −0.0991031 0.521728i
\(871\) 14.0061 + 15.5553i 0.474577 + 0.527071i
\(872\) 1.44456 + 1.60435i 0.0489190 + 0.0543301i
\(873\) −41.1189 + 29.8747i −1.39167 + 1.01110i
\(874\) 19.0745 11.8470i 0.645206 0.400729i
\(875\) −26.8167 42.4759i −0.906571 1.43595i
\(876\) 0.258622 0.447946i 0.00873803 0.0151347i
\(877\) −0.817296 7.77605i −0.0275981 0.262579i −0.999617 0.0276757i \(-0.991189\pi\)
0.972019 0.234903i \(-0.0754772\pi\)
\(878\) 1.84907 0.393031i 0.0624029 0.0132642i
\(879\) 18.2701 + 20.2910i 0.616236 + 0.684400i
\(880\) −2.20832 11.6257i −0.0744424 0.391902i
\(881\) 7.10946 + 21.8807i 0.239524 + 0.737178i 0.996489 + 0.0837232i \(0.0266812\pi\)
−0.756965 + 0.653455i \(0.773319\pi\)
\(882\) −51.8094 −1.74451
\(883\) −5.91671 + 6.57117i −0.199113 + 0.221138i −0.834430 0.551114i \(-0.814203\pi\)
0.635317 + 0.772252i \(0.280870\pi\)
\(884\) −1.20427 + 11.4579i −0.0405040 + 0.385369i
\(885\) −57.6994 + 17.3714i −1.93955 + 0.583932i
\(886\) −16.5239 + 12.0053i −0.555130 + 0.403326i
\(887\) −6.13087 + 58.3313i −0.205855 + 1.95858i 0.0704790 + 0.997513i \(0.477547\pi\)
−0.276334 + 0.961062i \(0.589119\pi\)
\(888\) 14.2379 6.33914i 0.477794 0.212728i
\(889\) 52.6316 + 23.4331i 1.76521 + 0.785921i
\(890\) −7.51556 17.9179i −0.251922 0.600611i
\(891\) −25.8669 + 11.5167i −0.866574 + 0.385823i
\(892\) −2.54414 7.83007i −0.0851842 0.262170i
\(893\) −25.7960 13.8062i −0.863230 0.462009i
\(894\) −4.37411 13.4621i −0.146292 0.450241i
\(895\) −1.75382 4.18130i −0.0586237 0.139765i
\(896\) 3.00638 + 3.33892i 0.100436 + 0.111545i
\(897\) −29.4665 + 6.26329i −0.983857 + 0.209125i
\(898\) 2.60406 + 24.7760i 0.0868987 + 0.826786i
\(899\) −2.41821 4.18846i −0.0806518 0.139693i
\(900\) −19.6260 0.853260i −0.654201 0.0284420i
\(901\) 50.4419 1.68046
\(902\) 21.9230 + 9.76073i 0.729955 + 0.324997i
\(903\) 134.972 28.6892i 4.49159 0.954718i
\(904\) −5.77173 + 17.7636i −0.191965 + 0.590807i
\(905\) 0.0832127 3.82980i 0.00276608 0.127307i
\(906\) −8.12051 + 9.01874i −0.269786 + 0.299628i
\(907\) −22.1923 + 38.4382i −0.736884 + 1.27632i 0.217008 + 0.976170i \(0.430370\pi\)
−0.953892 + 0.300151i \(0.902963\pi\)
\(908\) −14.0409 + 15.5939i −0.465962 + 0.517503i
\(909\) −22.9640 + 10.2242i −0.761667 + 0.339116i
\(910\) 16.9073 14.5710i 0.560471 0.483023i
\(911\) 2.07815 1.50986i 0.0688522 0.0500240i −0.552827 0.833296i \(-0.686451\pi\)
0.621679 + 0.783272i \(0.286451\pi\)
\(912\) 5.00169 + 10.3263i 0.165623 + 0.341938i
\(913\) −26.4896 19.2458i −0.876679 0.636945i
\(914\) 0.676536 + 6.43681i 0.0223778 + 0.212911i
\(915\) 23.5078 + 14.2619i 0.777143 + 0.471484i
\(916\) 0.0538126 0.511993i 0.00177802 0.0169167i
\(917\) −71.4525 15.1877i −2.35957 0.501542i
\(918\) 6.34011 + 10.9814i 0.209255 + 0.362440i
\(919\) 2.06463 + 6.35428i 0.0681058 + 0.209608i 0.979317 0.202331i \(-0.0648516\pi\)
−0.911211 + 0.411939i \(0.864852\pi\)
\(920\) 6.56651 + 9.46372i 0.216491 + 0.312010i
\(921\) −44.5569 + 9.47087i −1.46820 + 0.312076i
\(922\) −37.8207 + 8.03904i −1.24556 + 0.264752i
\(923\) −20.2637 + 14.7224i −0.666988 + 0.484595i
\(924\) 62.5887 2.05902
\(925\) −20.7460 + 21.1191i −0.682125 + 0.694392i
\(926\) −3.23526 + 5.60364i −0.106317 + 0.184147i
\(927\) 13.4773 + 6.00048i 0.442652 + 0.197082i
\(928\) −1.78071 1.97768i −0.0584548 0.0649206i
\(929\) 3.38170 + 3.75576i 0.110950 + 0.123223i 0.796062 0.605216i \(-0.206913\pi\)
−0.685111 + 0.728438i \(0.740246\pi\)
\(930\) −10.2428 + 3.08375i −0.335874 + 0.101120i
\(931\) −43.9310 37.0669i −1.43978 1.21482i
\(932\) 29.6569 0.971445
\(933\) −60.5436 12.8689i −1.98211 0.421310i
\(934\) −12.1526 + 5.41068i −0.397645 + 0.177043i
\(935\) 26.1720 55.5059i 0.855916 1.81524i
\(936\) −0.912386 8.68078i −0.0298223 0.283740i
\(937\) −4.62266 + 43.9817i −0.151016 + 1.43682i 0.612214 + 0.790692i \(0.290279\pi\)
−0.763230 + 0.646127i \(0.776388\pi\)
\(938\) 34.2471 + 24.8820i 1.11821 + 0.812425i
\(939\) −20.3153 + 14.7599i −0.662964 + 0.481672i
\(940\) 6.40119 13.5757i 0.208784 0.442791i
\(941\) 4.66387 44.3738i 0.152038 1.44654i −0.606587 0.795017i \(-0.707462\pi\)
0.758625 0.651527i \(-0.225871\pi\)
\(942\) −4.14284 12.7503i −0.134981 0.415429i
\(943\) −23.3592 −0.760680
\(944\) −6.85024 + 7.60796i −0.222956 + 0.247618i
\(945\) 5.62823 23.9121i 0.183086 0.777861i
\(946\) −60.3962 + 12.8376i −1.96365 + 0.417387i
\(947\) −16.8240 18.6849i −0.546706 0.607178i 0.404952 0.914338i \(-0.367288\pi\)
−0.951658 + 0.307160i \(0.900621\pi\)
\(948\) 2.87816 + 27.3839i 0.0934783 + 0.889387i
\(949\) −0.436550 −0.0141710
\(950\) −16.0311 14.7649i −0.520119 0.479037i
\(951\) −83.5288 −2.70861
\(952\) 2.43548 + 23.1720i 0.0789344 + 0.751010i
\(953\) 10.5779 + 11.7479i 0.342651 + 0.380553i 0.889698 0.456549i \(-0.150915\pi\)
−0.547047 + 0.837102i \(0.684248\pi\)
\(954\) −37.3810 + 7.94559i −1.21026 + 0.257248i
\(955\) −52.8693 + 4.39801i −1.71081 + 0.142316i
\(956\) −13.9073 + 15.4456i −0.449794 + 0.499547i
\(957\) −37.0721 −1.19837
\(958\) 3.15976 + 9.72475i 0.102087 + 0.314192i
\(959\) −2.61903 + 24.9185i −0.0845731 + 0.804659i
\(960\) −5.16012 + 2.83156i −0.166542 + 0.0913882i
\(961\) 22.4075 16.2800i 0.722823 0.525162i
\(962\) −10.6418 7.73169i −0.343104 0.249280i
\(963\) 1.11030 10.5638i 0.0357790 0.340414i
\(964\) −0.588824 5.60229i −0.0189648 0.180438i
\(965\) −4.58496 24.1375i −0.147595 0.777013i
\(966\) −55.6564 + 24.7798i −1.79071 + 0.797277i
\(967\) 41.0551 + 8.72653i 1.32024 + 0.280626i 0.813547 0.581499i \(-0.197534\pi\)
0.506695 + 0.862125i \(0.330867\pi\)
\(968\) −17.0067 −0.546614
\(969\) −10.4919 + 58.5690i −0.337049 + 1.88151i
\(970\) 0.628358 28.9197i 0.0201754 0.928556i
\(971\) 34.7205 + 38.5610i 1.11423 + 1.23748i 0.968728 + 0.248124i \(0.0798141\pi\)
0.145505 + 0.989357i \(0.453519\pi\)
\(972\) 14.3322 + 15.9176i 0.459707 + 0.510556i
\(973\) 2.12497 + 0.946099i 0.0681235 + 0.0303305i
\(974\) −11.5988 + 20.0896i −0.371648 + 0.643713i
\(975\) 13.5062 + 25.9335i 0.432545 + 0.830537i
\(976\) 4.67141 0.149528
\(977\) −4.73249 + 3.43835i −0.151406 + 0.110003i −0.660909 0.750466i \(-0.729829\pi\)
0.509503 + 0.860469i \(0.329829\pi\)
\(978\) −35.6173 + 7.57069i −1.13892 + 0.242084i
\(979\) −44.9810 + 9.56101i −1.43760 + 0.305571i
\(980\) 17.8457 23.4728i 0.570061 0.749811i
\(981\) −2.62108 8.06685i −0.0836846 0.257555i
\(982\) 15.5652 + 26.9597i 0.496705 + 0.860319i
\(983\) 9.62412 + 2.04567i 0.306962 + 0.0652468i 0.358817 0.933408i \(-0.383180\pi\)
−0.0518553 + 0.998655i \(0.516513\pi\)
\(984\) 1.24769 11.8710i 0.0397748 0.378432i
\(985\) 5.08170 + 12.1153i 0.161916 + 0.386027i
\(986\) −1.44257 13.7251i −0.0459406 0.437096i
\(987\) 64.2236 + 46.6612i 2.04426 + 1.48524i
\(988\) 5.43699 8.01350i 0.172974 0.254943i
\(989\) 48.6241 35.3275i 1.54616 1.12335i
\(990\) −10.6521 + 45.2564i −0.338544 + 1.43834i
\(991\) −5.65211 + 2.51648i −0.179545 + 0.0799387i −0.494541 0.869154i \(-0.664664\pi\)
0.314995 + 0.949093i \(0.397997\pi\)
\(992\) −1.21605 + 1.35056i −0.0386096 + 0.0428803i
\(993\) 42.4934 73.6007i 1.34849 2.33565i
\(994\) −33.8948 + 37.6440i −1.07508 + 1.19399i
\(995\) 37.1244 + 12.9606i 1.17692 + 0.410878i
\(996\) −5.03272 + 15.4891i −0.159468 + 0.490792i
\(997\) 5.33324 1.13362i 0.168905 0.0359019i −0.122683 0.992446i \(-0.539150\pi\)
0.291588 + 0.956544i \(0.405816\pi\)
\(998\) −27.6337 12.3033i −0.874729 0.389455i
\(999\) −14.4775 −0.458048
Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))

Twists

       By twisting character
Char Parity Ord Type Twist Min Dim
1.1 even 1 trivial 950.2.r.a.11.4 200
19.7 even 3 inner 950.2.r.a.311.22 yes 200
25.16 even 5 inner 950.2.r.a.391.22 yes 200
475.216 even 15 inner 950.2.r.a.691.4 yes 200
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
950.2.r.a.11.4 200 1.1 even 1 trivial
950.2.r.a.311.22 yes 200 19.7 even 3 inner
950.2.r.a.391.22 yes 200 25.16 even 5 inner
950.2.r.a.691.4 yes 200 475.216 even 15 inner