Properties

Label 280.2.br.a.107.14
Level $280$
Weight $2$
Character 280.107
Analytic conductor $2.236$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $8$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [280,2,Mod(67,280)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(280, base_ring=CyclotomicField(12))
 
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("280.67");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 280 = 2^{3} \cdot 5 \cdot 7 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 280.br (of order \(12\), degree \(4\), 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: \(2.23581125660\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(44\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 107.14
Character \(\chi\) \(=\) 280.107
Dual form 280.2.br.a.123.14

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.786756 - 1.17517i) q^{2} +(-2.51296 - 0.673346i) q^{3} +(-0.762030 + 1.84914i) q^{4} +(-2.09775 - 0.774229i) q^{5} +(1.18579 + 3.48291i) q^{6} +(0.419863 + 2.61222i) q^{7} +(2.77258 - 0.559308i) q^{8} +(3.26351 + 1.88419i) q^{9} +O(q^{10})\) \(q+(-0.786756 - 1.17517i) q^{2} +(-2.51296 - 0.673346i) q^{3} +(-0.762030 + 1.84914i) q^{4} +(-2.09775 - 0.774229i) q^{5} +(1.18579 + 3.48291i) q^{6} +(0.419863 + 2.61222i) q^{7} +(2.77258 - 0.559308i) q^{8} +(3.26351 + 1.88419i) q^{9} +(0.740572 + 3.07434i) q^{10} +(0.673124 + 1.16589i) q^{11} +(3.16006 - 4.13370i) q^{12} +(-3.02874 - 3.02874i) q^{13} +(2.73947 - 2.54859i) q^{14} +(4.75025 + 3.35812i) q^{15} +(-2.83862 - 2.81820i) q^{16} +(1.09352 - 4.08108i) q^{17} +(-0.353352 - 5.31757i) q^{18} +(6.52363 + 3.76642i) q^{19} +(3.03021 - 3.28905i) q^{20} +(0.703832 - 6.84714i) q^{21} +(0.840524 - 1.70830i) q^{22} +(2.25799 - 0.605027i) q^{23} +(-7.34399 - 0.461383i) q^{24} +(3.80114 + 3.24828i) q^{25} +(-1.17639 + 5.94214i) q^{26} +(-1.41352 - 1.41352i) q^{27} +(-5.15031 - 1.21421i) q^{28} +3.41296 q^{29} +(0.209064 - 8.22436i) q^{30} +(-5.73934 + 3.31361i) q^{31} +(-1.07855 + 5.55308i) q^{32} +(-0.906492 - 3.38307i) q^{33} +(-5.65627 + 1.92574i) q^{34} +(1.14169 - 5.80487i) q^{35} +(-5.97102 + 4.59887i) q^{36} +(2.39958 + 8.95535i) q^{37} +(-0.706336 - 10.6296i) q^{38} +(5.57171 + 9.65049i) q^{39} +(-6.24921 - 0.973319i) q^{40} +9.58202 q^{41} +(-8.60027 + 4.55991i) q^{42} +(3.73207 - 3.73207i) q^{43} +(-2.66882 + 0.356259i) q^{44} +(-5.38725 - 6.47927i) q^{45} +(-2.48749 - 2.17751i) q^{46} +(0.998016 + 3.72465i) q^{47} +(5.23572 + 8.99340i) q^{48} +(-6.64743 + 2.19355i) q^{49} +(0.826705 - 7.02257i) q^{50} +(-5.49595 + 9.51927i) q^{51} +(7.90854 - 3.29256i) q^{52} +(0.0240790 - 0.0898639i) q^{53} +(-0.549027 + 2.77322i) q^{54} +(-0.509386 - 2.96689i) q^{55} +(2.62514 + 7.00776i) q^{56} +(-13.8575 - 13.8575i) q^{57} +(-2.68516 - 4.01079i) q^{58} +(0.663996 - 0.383358i) q^{59} +(-9.82947 + 6.22488i) q^{60} +(1.18730 + 0.685485i) q^{61} +(8.40950 + 4.13768i) q^{62} +(-3.55170 + 9.31613i) q^{63} +(7.37435 - 3.10145i) q^{64} +(4.00860 + 8.69848i) q^{65} +(-3.26248 + 3.72693i) q^{66} +(-2.24546 + 8.38018i) q^{67} +(6.71317 + 5.13197i) q^{68} -6.08164 q^{69} +(-7.71992 + 3.22534i) q^{70} -1.47220i q^{71} +(10.1022 + 3.39875i) q^{72} +(0.914941 + 0.245158i) q^{73} +(8.63614 - 9.86558i) q^{74} +(-7.36490 - 10.7223i) q^{75} +(-11.9358 + 9.19296i) q^{76} +(-2.76293 + 2.24786i) q^{77} +(6.95735 - 14.1403i) q^{78} +(1.50999 - 2.61539i) q^{79} +(3.77279 + 8.10963i) q^{80} +(-3.05223 - 5.28661i) q^{81} +(-7.53871 - 11.2605i) q^{82} +(-7.12999 + 7.12999i) q^{83} +(12.1250 + 6.51921i) q^{84} +(-5.45362 + 7.71445i) q^{85} +(-7.32203 - 1.44957i) q^{86} +(-8.57663 - 2.29810i) q^{87} +(2.51838 + 2.85602i) q^{88} +(-3.89233 - 2.24724i) q^{89} +(-3.37577 + 11.4285i) q^{90} +(6.64008 - 9.18339i) q^{91} +(-0.601879 + 4.63639i) q^{92} +(16.6540 - 4.46242i) q^{93} +(3.59188 - 4.10322i) q^{94} +(-10.7689 - 12.9518i) q^{95} +(6.44950 - 13.2285i) q^{96} +(10.9372 + 10.9372i) q^{97} +(7.80769 + 6.08604i) q^{98} +5.07317i q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 176 q - 2 q^{2} - 4 q^{3} - 16 q^{6} - 20 q^{8} - 2 q^{10} - 8 q^{11} - 14 q^{12} + 4 q^{16} - 4 q^{17} - 16 q^{18} + 8 q^{20} - 4 q^{25} - 20 q^{26} - 40 q^{27} - 34 q^{28} - 12 q^{30} + 18 q^{32} + 20 q^{33} - 32 q^{35} - 48 q^{36} - 16 q^{38} - 22 q^{40} - 32 q^{41} + 30 q^{42} - 16 q^{43} + 20 q^{46} + 36 q^{48} + 68 q^{50} - 8 q^{51} - 32 q^{52} - 52 q^{56} - 40 q^{57} - 14 q^{58} - 50 q^{60} + 56 q^{62} - 4 q^{65} - 60 q^{66} - 28 q^{67} - 40 q^{68} + 64 q^{70} - 48 q^{72} - 4 q^{73} - 4 q^{75} - 144 q^{76} + 184 q^{78} - 40 q^{80} + 32 q^{81} + 74 q^{82} - 16 q^{83} - 56 q^{86} - 64 q^{88} - 56 q^{90} + 16 q^{91} + 44 q^{92} - 104 q^{96} - 48 q^{97} + 70 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).

\(n\) \(57\) \(71\) \(141\) \(241\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(-1\) \(-1\) \(e\left(\frac{1}{3}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.786756 1.17517i −0.556320 0.830968i
\(3\) −2.51296 0.673346i −1.45086 0.388757i −0.554537 0.832159i \(-0.687105\pi\)
−0.896323 + 0.443402i \(0.853771\pi\)
\(4\) −0.762030 + 1.84914i −0.381015 + 0.924569i
\(5\) −2.09775 0.774229i −0.938144 0.346246i
\(6\) 1.18579 + 3.48291i 0.484099 + 1.42189i
\(7\) 0.419863 + 2.61222i 0.158693 + 0.987328i
\(8\) 2.77258 0.559308i 0.980253 0.197745i
\(9\) 3.26351 + 1.88419i 1.08784 + 0.628063i
\(10\) 0.740572 + 3.07434i 0.234189 + 0.972191i
\(11\) 0.673124 + 1.16589i 0.202955 + 0.351528i 0.949479 0.313830i \(-0.101612\pi\)
−0.746525 + 0.665358i \(0.768279\pi\)
\(12\) 3.16006 4.13370i 0.912232 1.19330i
\(13\) −3.02874 3.02874i −0.840020 0.840020i 0.148841 0.988861i \(-0.452446\pi\)
−0.988861 + 0.148841i \(0.952446\pi\)
\(14\) 2.73947 2.54859i 0.732153 0.681140i
\(15\) 4.75025 + 3.35812i 1.22651 + 0.867064i
\(16\) −2.83862 2.81820i −0.709655 0.704549i
\(17\) 1.09352 4.08108i 0.265218 0.989806i −0.696899 0.717169i \(-0.745438\pi\)
0.962117 0.272637i \(-0.0878958\pi\)
\(18\) −0.353352 5.31757i −0.0832859 1.25336i
\(19\) 6.52363 + 3.76642i 1.49662 + 0.864075i 0.999992 0.00388708i \(-0.00123730\pi\)
0.496630 + 0.867962i \(0.334571\pi\)
\(20\) 3.03021 3.28905i 0.677575 0.735454i
\(21\) 0.703832 6.84714i 0.153589 1.49417i
\(22\) 0.840524 1.70830i 0.179200 0.364211i
\(23\) 2.25799 0.605027i 0.470824 0.126157i −0.0156029 0.999878i \(-0.504967\pi\)
0.486427 + 0.873721i \(0.338300\pi\)
\(24\) −7.34399 0.461383i −1.49909 0.0941795i
\(25\) 3.80114 + 3.24828i 0.760228 + 0.649657i
\(26\) −1.17639 + 5.94214i −0.230709 + 1.16535i
\(27\) −1.41352 1.41352i −0.272033 0.272033i
\(28\) −5.15031 1.21421i −0.973317 0.229464i
\(29\) 3.41296 0.633770 0.316885 0.948464i \(-0.397363\pi\)
0.316885 + 0.948464i \(0.397363\pi\)
\(30\) 0.209064 8.22436i 0.0381697 1.50156i
\(31\) −5.73934 + 3.31361i −1.03082 + 0.595142i −0.917218 0.398385i \(-0.869571\pi\)
−0.113598 + 0.993527i \(0.536238\pi\)
\(32\) −1.07855 + 5.55308i −0.190662 + 0.981656i
\(33\) −0.906492 3.38307i −0.157800 0.588917i
\(34\) −5.65627 + 1.92574i −0.970043 + 0.330262i
\(35\) 1.14169 5.80487i 0.192981 0.981202i
\(36\) −5.97102 + 4.59887i −0.995170 + 0.766479i
\(37\) 2.39958 + 8.95535i 0.394488 + 1.47225i 0.822650 + 0.568548i \(0.192495\pi\)
−0.428162 + 0.903702i \(0.640839\pi\)
\(38\) −0.706336 10.6296i −0.114583 1.72435i
\(39\) 5.57171 + 9.65049i 0.892188 + 1.54531i
\(40\) −6.24921 0.973319i −0.988087 0.153895i
\(41\) 9.58202 1.49646 0.748230 0.663439i \(-0.230904\pi\)
0.748230 + 0.663439i \(0.230904\pi\)
\(42\) −8.60027 + 4.55991i −1.32705 + 0.703609i
\(43\) 3.73207 3.73207i 0.569135 0.569135i −0.362751 0.931886i \(-0.618162\pi\)
0.931886 + 0.362751i \(0.118162\pi\)
\(44\) −2.66882 + 0.356259i −0.402340 + 0.0537081i
\(45\) −5.38725 6.47927i −0.803084 0.965873i
\(46\) −2.48749 2.17751i −0.366761 0.321056i
\(47\) 0.998016 + 3.72465i 0.145576 + 0.543296i 0.999729 + 0.0232746i \(0.00740921\pi\)
−0.854153 + 0.520021i \(0.825924\pi\)
\(48\) 5.23572 + 8.99340i 0.755712 + 1.29809i
\(49\) −6.64743 + 2.19355i −0.949633 + 0.313365i
\(50\) 0.826705 7.02257i 0.116914 0.993142i
\(51\) −5.49595 + 9.51927i −0.769588 + 1.33296i
\(52\) 7.90854 3.29256i 1.09672 0.456596i
\(53\) 0.0240790 0.0898639i 0.00330750 0.0123438i −0.964252 0.264986i \(-0.914633\pi\)
0.967560 + 0.252642i \(0.0812994\pi\)
\(54\) −0.549027 + 2.77322i −0.0747131 + 0.377388i
\(55\) −0.509386 2.96689i −0.0686856 0.400056i
\(56\) 2.62514 + 7.00776i 0.350799 + 0.936451i
\(57\) −13.8575 13.8575i −1.83547 1.83547i
\(58\) −2.68516 4.01079i −0.352579 0.526642i
\(59\) 0.663996 0.383358i 0.0864449 0.0499090i −0.456154 0.889901i \(-0.650774\pi\)
0.542599 + 0.839992i \(0.317440\pi\)
\(60\) −9.82947 + 6.22488i −1.26898 + 0.803628i
\(61\) 1.18730 + 0.685485i 0.152018 + 0.0877674i 0.574079 0.818800i \(-0.305360\pi\)
−0.422062 + 0.906567i \(0.638693\pi\)
\(62\) 8.40950 + 4.13768i 1.06801 + 0.525486i
\(63\) −3.55170 + 9.31613i −0.447472 + 1.17372i
\(64\) 7.37435 3.10145i 0.921794 0.387681i
\(65\) 4.00860 + 8.69848i 0.497206 + 1.07891i
\(66\) −3.26248 + 3.72693i −0.401584 + 0.458753i
\(67\) −2.24546 + 8.38018i −0.274327 + 1.02380i 0.681964 + 0.731386i \(0.261126\pi\)
−0.956291 + 0.292416i \(0.905541\pi\)
\(68\) 6.71317 + 5.13197i 0.814092 + 0.622343i
\(69\) −6.08164 −0.732144
\(70\) −7.71992 + 3.22534i −0.922707 + 0.385502i
\(71\) 1.47220i 0.174718i −0.996177 0.0873590i \(-0.972157\pi\)
0.996177 0.0873590i \(-0.0278427\pi\)
\(72\) 10.1022 + 3.39875i 1.19055 + 0.400546i
\(73\) 0.914941 + 0.245158i 0.107086 + 0.0286935i 0.311964 0.950094i \(-0.399013\pi\)
−0.204878 + 0.978787i \(0.565680\pi\)
\(74\) 8.63614 9.86558i 1.00393 1.14685i
\(75\) −7.36490 10.7223i −0.850425 1.23810i
\(76\) −11.9358 + 9.19296i −1.36913 + 1.05450i
\(77\) −2.76293 + 2.24786i −0.314866 + 0.256168i
\(78\) 6.95735 14.1403i 0.787765 1.60107i
\(79\) 1.50999 2.61539i 0.169888 0.294254i −0.768493 0.639859i \(-0.778993\pi\)
0.938380 + 0.345605i \(0.112326\pi\)
\(80\) 3.77279 + 8.10963i 0.421811 + 0.906684i
\(81\) −3.05223 5.28661i −0.339136 0.587402i
\(82\) −7.53871 11.2605i −0.832512 1.24351i
\(83\) −7.12999 + 7.12999i −0.782619 + 0.782619i −0.980272 0.197653i \(-0.936668\pi\)
0.197653 + 0.980272i \(0.436668\pi\)
\(84\) 12.1250 + 6.51921i 1.32294 + 0.711304i
\(85\) −5.45362 + 7.71445i −0.591529 + 0.836750i
\(86\) −7.32203 1.44957i −0.789555 0.156312i
\(87\) −8.57663 2.29810i −0.919512 0.246382i
\(88\) 2.51838 + 2.85602i 0.268460 + 0.304453i
\(89\) −3.89233 2.24724i −0.412586 0.238207i 0.279314 0.960200i \(-0.409893\pi\)
−0.691900 + 0.721993i \(0.743226\pi\)
\(90\) −3.37577 + 11.4285i −0.355837 + 1.20467i
\(91\) 6.64008 9.18339i 0.696070 0.962681i
\(92\) −0.601879 + 4.63639i −0.0627503 + 0.483377i
\(93\) 16.6540 4.46242i 1.72694 0.462731i
\(94\) 3.59188 4.10322i 0.370474 0.423215i
\(95\) −10.7689 12.9518i −1.10486 1.32883i
\(96\) 6.44950 13.2285i 0.658250 1.35012i
\(97\) 10.9372 + 10.9372i 1.11050 + 1.11050i 0.993083 + 0.117417i \(0.0374614\pi\)
0.117417 + 0.993083i \(0.462539\pi\)
\(98\) 7.80769 + 6.08604i 0.788696 + 0.614783i
\(99\) 5.07317i 0.509873i
\(100\) −8.90311 + 4.55354i −0.890311 + 0.455354i
\(101\) 10.7115 6.18426i 1.06583 0.615357i 0.138791 0.990322i \(-0.455678\pi\)
0.927039 + 0.374964i \(0.122345\pi\)
\(102\) 15.5107 1.03069i 1.53579 0.102053i
\(103\) 5.40781 1.44902i 0.532848 0.142776i 0.0176448 0.999844i \(-0.494383\pi\)
0.515203 + 0.857068i \(0.327717\pi\)
\(104\) −10.0914 6.70340i −0.989543 0.657323i
\(105\) −6.77772 + 13.8187i −0.661438 + 1.34856i
\(106\) −0.124549 + 0.0424042i −0.0120973 + 0.00411866i
\(107\) 2.39905 0.642824i 0.231925 0.0621441i −0.140985 0.990012i \(-0.545027\pi\)
0.372910 + 0.927868i \(0.378360\pi\)
\(108\) 3.69095 1.53665i 0.355161 0.147864i
\(109\) 1.16090 + 2.01074i 0.111194 + 0.192594i 0.916252 0.400602i \(-0.131199\pi\)
−0.805058 + 0.593196i \(0.797866\pi\)
\(110\) −3.08583 + 2.93283i −0.294222 + 0.279635i
\(111\) 24.1202i 2.28939i
\(112\) 6.16993 8.59837i 0.583004 0.812469i
\(113\) −1.73042 + 1.73042i −0.162784 + 0.162784i −0.783799 0.621015i \(-0.786721\pi\)
0.621015 + 0.783799i \(0.286721\pi\)
\(114\) −5.38240 + 27.1874i −0.504108 + 2.54633i
\(115\) −5.20514 0.479005i −0.485382 0.0446675i
\(116\) −2.60078 + 6.31103i −0.241476 + 0.585964i
\(117\) −4.17760 15.5910i −0.386220 1.44139i
\(118\) −0.972912 0.478696i −0.0895638 0.0440675i
\(119\) 11.1198 + 1.14303i 1.01935 + 0.104781i
\(120\) 15.0487 + 6.65380i 1.37375 + 0.607406i
\(121\) 4.59381 7.95671i 0.417619 0.723337i
\(122\) −0.128553 1.93458i −0.0116386 0.175149i
\(123\) −24.0793 6.45202i −2.17115 0.581759i
\(124\) −1.75377 13.1379i −0.157493 1.17982i
\(125\) −5.45893 9.75705i −0.488262 0.872697i
\(126\) 13.7423 3.15568i 1.22426 0.281131i
\(127\) 2.84934 2.84934i 0.252838 0.252838i −0.569295 0.822133i \(-0.692784\pi\)
0.822133 + 0.569295i \(0.192784\pi\)
\(128\) −9.44653 6.22600i −0.834963 0.550306i
\(129\) −11.8915 + 6.86558i −1.04699 + 0.604480i
\(130\) 7.06836 11.5544i 0.619936 1.01338i
\(131\) −7.16245 + 12.4057i −0.625786 + 1.08389i 0.362603 + 0.931944i \(0.381888\pi\)
−0.988388 + 0.151949i \(0.951445\pi\)
\(132\) 6.94654 + 0.901776i 0.604619 + 0.0784895i
\(133\) −7.09970 + 18.6226i −0.615622 + 1.61478i
\(134\) 11.6147 3.95436i 1.00336 0.341605i
\(135\) 1.87083 + 4.05961i 0.161016 + 0.349396i
\(136\) 0.749291 11.9267i 0.0642512 1.02271i
\(137\) −0.766688 + 2.86132i −0.0655026 + 0.244459i −0.990912 0.134509i \(-0.957054\pi\)
0.925410 + 0.378968i \(0.123721\pi\)
\(138\) 4.78477 + 7.14694i 0.407306 + 0.608388i
\(139\) 22.6664i 1.92254i −0.275607 0.961270i \(-0.588879\pi\)
0.275607 0.961270i \(-0.411121\pi\)
\(140\) 9.86400 + 6.53463i 0.833661 + 0.552277i
\(141\) 10.0319i 0.844839i
\(142\) −1.73008 + 1.15826i −0.145185 + 0.0971992i
\(143\) 1.49244 5.56987i 0.124804 0.465776i
\(144\) −3.95385 14.5457i −0.329488 1.21214i
\(145\) −7.15954 2.64241i −0.594567 0.219440i
\(146\) −0.431734 1.26809i −0.0357306 0.104948i
\(147\) 18.1818 1.03629i 1.49961 0.0854719i
\(148\) −18.3882 2.38710i −1.51150 0.196218i
\(149\) 2.33400 4.04261i 0.191209 0.331183i −0.754442 0.656366i \(-0.772093\pi\)
0.945651 + 0.325183i \(0.105426\pi\)
\(150\) −6.80610 + 17.0908i −0.555716 + 1.39546i
\(151\) −1.59837 + 0.922821i −0.130074 + 0.0750981i −0.563625 0.826031i \(-0.690594\pi\)
0.433551 + 0.901129i \(0.357260\pi\)
\(152\) 20.1938 + 6.79396i 1.63794 + 0.551063i
\(153\) 11.2582 11.2582i 0.910175 0.910175i
\(154\) 4.81537 + 1.47839i 0.388033 + 0.119132i
\(155\) 14.6052 2.50757i 1.17312 0.201413i
\(156\) −22.0909 + 2.94890i −1.76869 + 0.236101i
\(157\) −3.10033 0.830732i −0.247434 0.0662996i 0.132971 0.991120i \(-0.457548\pi\)
−0.380404 + 0.924820i \(0.624215\pi\)
\(158\) −4.26151 + 0.283177i −0.339027 + 0.0225284i
\(159\) −0.121019 + 0.209611i −0.00959744 + 0.0166232i
\(160\) 6.56189 10.8140i 0.518763 0.854918i
\(161\) 2.52851 + 5.64435i 0.199275 + 0.444837i
\(162\) −3.81129 + 7.74615i −0.299443 + 0.608595i
\(163\) 3.29766 + 12.3070i 0.258293 + 0.963961i 0.966229 + 0.257685i \(0.0829596\pi\)
−0.707936 + 0.706276i \(0.750374\pi\)
\(164\) −7.30179 + 17.7185i −0.570174 + 1.38358i
\(165\) −0.717678 + 7.79868i −0.0558711 + 0.607127i
\(166\) 13.9885 + 2.76936i 1.08572 + 0.214944i
\(167\) −10.3330 + 10.3330i −0.799593 + 0.799593i −0.983031 0.183438i \(-0.941277\pi\)
0.183438 + 0.983031i \(0.441277\pi\)
\(168\) −1.87823 19.3779i −0.144909 1.49503i
\(169\) 5.34648i 0.411267i
\(170\) 13.3564 + 0.339522i 1.02439 + 0.0260402i
\(171\) 14.1933 + 24.5835i 1.08539 + 1.87995i
\(172\) 4.05716 + 9.74506i 0.309356 + 0.743054i
\(173\) 3.53568 0.947383i 0.268813 0.0720282i −0.121895 0.992543i \(-0.538897\pi\)
0.390708 + 0.920515i \(0.372230\pi\)
\(174\) 4.04707 + 11.8870i 0.306807 + 0.901152i
\(175\) −6.88929 + 11.2933i −0.520781 + 0.853690i
\(176\) 1.37495 5.20650i 0.103641 0.392455i
\(177\) −1.92673 + 0.516266i −0.144822 + 0.0388049i
\(178\) 0.421437 + 6.34217i 0.0315880 + 0.475365i
\(179\) 0.0344229 0.0198741i 0.00257289 0.00148546i −0.498713 0.866767i \(-0.666194\pi\)
0.501286 + 0.865282i \(0.332860\pi\)
\(180\) 16.0863 5.02436i 1.19900 0.374494i
\(181\) 22.4617i 1.66957i 0.550577 + 0.834784i \(0.314408\pi\)
−0.550577 + 0.834784i \(0.685592\pi\)
\(182\) −16.0161 0.578112i −1.18719 0.0428525i
\(183\) −2.52206 2.52206i −0.186436 0.186436i
\(184\) 5.92205 2.94040i 0.436580 0.216769i
\(185\) 1.89977 20.6439i 0.139674 1.51777i
\(186\) −18.3467 16.0603i −1.34524 1.17760i
\(187\) 5.49414 1.47215i 0.401771 0.107654i
\(188\) −7.64790 0.992824i −0.557781 0.0724092i
\(189\) 3.09895 4.28592i 0.225416 0.311755i
\(190\) −6.74802 + 22.8451i −0.489553 + 1.65736i
\(191\) 20.3885 + 11.7713i 1.47526 + 0.851743i 0.999611 0.0278906i \(-0.00887902\pi\)
0.475651 + 0.879634i \(0.342212\pi\)
\(192\) −20.6198 + 2.82833i −1.48811 + 0.204117i
\(193\) −4.43408 1.18811i −0.319172 0.0855218i 0.0956763 0.995413i \(-0.469499\pi\)
−0.414848 + 0.909891i \(0.636165\pi\)
\(194\) 4.24810 21.4578i 0.304996 1.54058i
\(195\) −4.21639 24.5581i −0.301942 1.75864i
\(196\) 1.00936 13.9636i 0.0720973 0.997398i
\(197\) 15.8550 15.8550i 1.12962 1.12962i 0.139386 0.990238i \(-0.455487\pi\)
0.990238 0.139386i \(-0.0445129\pi\)
\(198\) 5.96182 3.99135i 0.423688 0.283653i
\(199\) −1.70369 2.95087i −0.120771 0.209182i 0.799301 0.600931i \(-0.205203\pi\)
−0.920072 + 0.391749i \(0.871870\pi\)
\(200\) 12.3557 + 6.88010i 0.873682 + 0.486497i
\(201\) 11.2855 19.5471i 0.796020 1.37875i
\(202\) −15.6948 7.72224i −1.10429 0.543335i
\(203\) 1.43297 + 8.91541i 0.100575 + 0.625739i
\(204\) −13.4144 17.4168i −0.939193 1.21942i
\(205\) −20.1007 7.41868i −1.40390 0.518143i
\(206\) −5.95747 5.21506i −0.415077 0.363350i
\(207\) 8.50897 + 2.27997i 0.591414 + 0.158469i
\(208\) 0.0618541 + 17.1330i 0.00428881 + 1.18796i
\(209\) 10.1411i 0.701472i
\(210\) 21.5716 2.90698i 1.48859 0.200601i
\(211\) 1.03347 0.0711473 0.0355736 0.999367i \(-0.488674\pi\)
0.0355736 + 0.999367i \(0.488674\pi\)
\(212\) 0.147822 + 0.113004i 0.0101524 + 0.00776117i
\(213\) −0.991301 + 3.69958i −0.0679228 + 0.253491i
\(214\) −2.64289 2.31354i −0.180664 0.158150i
\(215\) −10.7184 + 4.93948i −0.730991 + 0.336870i
\(216\) −4.70969 3.12850i −0.320454 0.212868i
\(217\) −11.0656 13.6012i −0.751184 0.923309i
\(218\) 1.44961 2.94621i 0.0981798 0.199543i
\(219\) −2.13414 1.23214i −0.144212 0.0832606i
\(220\) 5.87436 + 1.31894i 0.396049 + 0.0889227i
\(221\) −15.6725 + 9.04851i −1.05425 + 0.608669i
\(222\) −28.3452 + 18.9767i −1.90241 + 1.27363i
\(223\) 11.4185 + 11.4185i 0.764637 + 0.764637i 0.977157 0.212519i \(-0.0681669\pi\)
−0.212519 + 0.977157i \(0.568167\pi\)
\(224\) −14.9587 0.485877i −0.999473 0.0324641i
\(225\) 6.28468 + 17.7629i 0.418979 + 1.18419i
\(226\) 3.39495 + 0.672113i 0.225829 + 0.0447083i
\(227\) 1.50910 5.63203i 0.100162 0.373811i −0.897589 0.440833i \(-0.854683\pi\)
0.997752 + 0.0670219i \(0.0213497\pi\)
\(228\) 36.1843 15.0646i 2.39637 0.997679i
\(229\) −4.74804 + 8.22385i −0.313759 + 0.543447i −0.979173 0.203028i \(-0.934922\pi\)
0.665414 + 0.746475i \(0.268255\pi\)
\(230\) 3.53226 + 6.49376i 0.232910 + 0.428186i
\(231\) 8.45674 3.78839i 0.556413 0.249258i
\(232\) 9.46268 1.90889i 0.621255 0.125325i
\(233\) −0.122812 0.458341i −0.00804569 0.0300269i 0.961786 0.273801i \(-0.0882810\pi\)
−0.969832 + 0.243774i \(0.921614\pi\)
\(234\) −15.0353 + 17.1757i −0.982888 + 1.12281i
\(235\) 0.790139 8.58608i 0.0515430 0.560094i
\(236\) 0.202897 + 1.51995i 0.0132075 + 0.0989403i
\(237\) −5.55562 + 5.55562i −0.360876 + 0.360876i
\(238\) −7.40533 13.9669i −0.480016 0.905340i
\(239\) −15.5439 −1.00545 −0.502724 0.864447i \(-0.667669\pi\)
−0.502724 + 0.864447i \(0.667669\pi\)
\(240\) −4.02030 22.9196i −0.259509 1.47945i
\(241\) 10.3350 + 17.9007i 0.665735 + 1.15309i 0.979085 + 0.203450i \(0.0652154\pi\)
−0.313350 + 0.949638i \(0.601451\pi\)
\(242\) −12.9647 + 0.861501i −0.833400 + 0.0553794i
\(243\) 5.66257 + 21.1330i 0.363254 + 1.35568i
\(244\) −2.17231 + 1.67311i −0.139068 + 0.107110i
\(245\) 15.6430 + 0.545103i 0.999393 + 0.0348254i
\(246\) 11.3623 + 33.3733i 0.724435 + 2.12780i
\(247\) −8.35086 31.1658i −0.531352 1.98303i
\(248\) −14.0594 + 12.3973i −0.892775 + 0.787229i
\(249\) 22.7184 13.1165i 1.43972 0.831222i
\(250\) −7.17131 + 14.0916i −0.453553 + 0.891229i
\(251\) −18.3023 −1.15523 −0.577615 0.816310i \(-0.696016\pi\)
−0.577615 + 0.816310i \(0.696016\pi\)
\(252\) −14.5203 13.6667i −0.914693 0.860924i
\(253\) 2.22530 + 2.22530i 0.139903 + 0.139903i
\(254\) −5.59019 1.10671i −0.350760 0.0694414i
\(255\) 18.8993 15.7140i 1.18352 0.984046i
\(256\) 0.115526 + 15.9996i 0.00722037 + 0.999974i
\(257\) −13.6246 + 3.65071i −0.849882 + 0.227725i −0.657369 0.753569i \(-0.728331\pi\)
−0.192513 + 0.981294i \(0.561664\pi\)
\(258\) 17.4239 + 8.57299i 1.08477 + 0.533731i
\(259\) −22.3859 + 10.0283i −1.39099 + 0.623125i
\(260\) −19.1394 + 0.783960i −1.18697 + 0.0486192i
\(261\) 11.1382 + 6.43066i 0.689439 + 0.398048i
\(262\) 20.2139 1.34321i 1.24882 0.0829839i
\(263\) 3.65103 13.6258i 0.225132 0.840205i −0.757219 0.653161i \(-0.773443\pi\)
0.982351 0.187044i \(-0.0598908\pi\)
\(264\) −4.40550 8.87282i −0.271140 0.546084i
\(265\) −0.120087 + 0.169870i −0.00737688 + 0.0104350i
\(266\) 27.4703 6.30808i 1.68431 0.386773i
\(267\) 8.26812 + 8.26812i 0.506001 + 0.506001i
\(268\) −13.7850 10.5381i −0.842053 0.643718i
\(269\) 10.4789 + 18.1500i 0.638911 + 1.10663i 0.985672 + 0.168673i \(0.0539481\pi\)
−0.346761 + 0.937953i \(0.612719\pi\)
\(270\) 3.29883 5.39246i 0.200761 0.328175i
\(271\) −19.6758 11.3598i −1.19522 0.690061i −0.235735 0.971817i \(-0.575750\pi\)
−0.959486 + 0.281756i \(0.909083\pi\)
\(272\) −14.6054 + 8.50286i −0.885580 + 0.515562i
\(273\) −22.8699 + 18.6064i −1.38415 + 1.12611i
\(274\) 3.96572 1.35017i 0.239578 0.0815670i
\(275\) −1.22849 + 6.61819i −0.0740806 + 0.399092i
\(276\) 4.63439 11.2458i 0.278958 0.676917i
\(277\) 7.75495 + 2.07793i 0.465950 + 0.124851i 0.484153 0.874983i \(-0.339128\pi\)
−0.0182029 + 0.999834i \(0.505794\pi\)
\(278\) −26.6368 + 17.8329i −1.59757 + 1.06955i
\(279\) −24.9739 −1.49515
\(280\) −0.0812860 16.7330i −0.00485777 0.999988i
\(281\) −16.3703 −0.976567 −0.488284 0.872685i \(-0.662377\pi\)
−0.488284 + 0.872685i \(0.662377\pi\)
\(282\) −11.7892 + 7.89267i −0.702034 + 0.470001i
\(283\) 19.1402 + 5.12860i 1.13777 + 0.304864i 0.778053 0.628199i \(-0.216207\pi\)
0.359714 + 0.933062i \(0.382874\pi\)
\(284\) 2.72230 + 1.12186i 0.161539 + 0.0665702i
\(285\) 18.3408 + 39.7986i 1.08641 + 2.35746i
\(286\) −7.71971 + 2.62826i −0.456476 + 0.155412i
\(287\) 4.02314 + 25.0304i 0.237478 + 1.47750i
\(288\) −13.9829 + 16.0904i −0.823951 + 0.948134i
\(289\) −0.736955 0.425481i −0.0433503 0.0250283i
\(290\) 2.52754 + 10.4926i 0.148422 + 0.616145i
\(291\) −20.1202 34.8492i −1.17947 2.04289i
\(292\) −1.15054 + 1.50503i −0.0673304 + 0.0880754i
\(293\) −3.70370 3.70370i −0.216373 0.216373i 0.590595 0.806968i \(-0.298893\pi\)
−0.806968 + 0.590595i \(0.798893\pi\)
\(294\) −15.5224 20.5513i −0.905286 1.19858i
\(295\) −1.68971 + 0.290106i −0.0983785 + 0.0168906i
\(296\) 11.6618 + 23.4873i 0.677829 + 1.36517i
\(297\) 0.696529 2.59948i 0.0404167 0.150837i
\(298\) −6.58702 + 0.437707i −0.381576 + 0.0253557i
\(299\) −8.67132 5.00639i −0.501476 0.289527i
\(300\) 25.4393 5.44800i 1.46874 0.314540i
\(301\) 11.3160 + 8.18204i 0.652241 + 0.471605i
\(302\) 2.34200 + 1.15232i 0.134767 + 0.0663085i
\(303\) −31.0817 + 8.32831i −1.78559 + 0.478449i
\(304\) −7.90359 29.0763i −0.453302 1.66764i
\(305\) −1.95993 2.35722i −0.112225 0.134974i
\(306\) −22.0878 4.37281i −1.26267 0.249977i
\(307\) 15.4323 + 15.4323i 0.880766 + 0.880766i 0.993612 0.112847i \(-0.0359969\pi\)
−0.112847 + 0.993612i \(0.535997\pi\)
\(308\) −2.05117 6.82199i −0.116876 0.388719i
\(309\) −14.5653 −0.828593
\(310\) −14.4376 15.1907i −0.819998 0.862774i
\(311\) 13.2913 7.67374i 0.753681 0.435138i −0.0733416 0.997307i \(-0.523366\pi\)
0.827022 + 0.562169i \(0.190033\pi\)
\(312\) 20.8456 + 23.6404i 1.18015 + 1.33837i
\(313\) −1.54249 5.75664i −0.0871866 0.325385i 0.908533 0.417814i \(-0.137204\pi\)
−0.995719 + 0.0924290i \(0.970537\pi\)
\(314\) 1.46296 + 4.29699i 0.0825595 + 0.242493i
\(315\) 14.6634 16.7931i 0.826189 0.946184i
\(316\) 3.68555 + 4.78519i 0.207328 + 0.269188i
\(317\) −0.917983 3.42596i −0.0515591 0.192421i 0.935343 0.353743i \(-0.115091\pi\)
−0.986902 + 0.161321i \(0.948424\pi\)
\(318\) 0.341540 0.0226953i 0.0191526 0.00127269i
\(319\) 2.29734 + 3.97912i 0.128627 + 0.222788i
\(320\) −17.8708 + 0.796635i −0.999008 + 0.0445332i
\(321\) −6.46157 −0.360650
\(322\) 4.64373 7.41215i 0.258785 0.413063i
\(323\) 22.5048 22.5048i 1.25220 1.25220i
\(324\) 12.1016 1.61543i 0.672309 0.0897461i
\(325\) −1.67445 21.3508i −0.0928818 1.18433i
\(326\) 11.8683 13.5579i 0.657327 0.750904i
\(327\) −1.56338 5.83460i −0.0864550 0.322654i
\(328\) 26.5669 5.35930i 1.46691 0.295918i
\(329\) −9.31058 + 4.17088i −0.513309 + 0.229948i
\(330\) 9.72939 5.29227i 0.535585 0.291330i
\(331\) 1.78672 3.09470i 0.0982072 0.170100i −0.812735 0.582633i \(-0.802023\pi\)
0.910943 + 0.412533i \(0.135356\pi\)
\(332\) −7.75107 18.6176i −0.425395 1.02177i
\(333\) −9.04252 + 33.7471i −0.495527 + 1.84933i
\(334\) 20.2726 + 4.01345i 1.10927 + 0.219606i
\(335\) 11.1986 15.8410i 0.611845 0.865489i
\(336\) −21.2945 + 17.4529i −1.16171 + 0.952133i
\(337\) −13.4979 13.4979i −0.735276 0.735276i 0.236384 0.971660i \(-0.424038\pi\)
−0.971660 + 0.236384i \(0.924038\pi\)
\(338\) 6.28300 4.20637i 0.341750 0.228796i
\(339\) 5.51366 3.18331i 0.299461 0.172894i
\(340\) −10.1093 15.9631i −0.548252 0.865723i
\(341\) −7.72658 4.46094i −0.418418 0.241574i
\(342\) 17.7230 36.0207i 0.958352 1.94778i
\(343\) −8.52106 16.4436i −0.460094 0.887870i
\(344\) 8.26007 12.4348i 0.445353 0.670441i
\(345\) 12.7578 + 4.70858i 0.686856 + 0.253502i
\(346\) −3.89505 3.40965i −0.209399 0.183304i
\(347\) 4.91159 18.3303i 0.263668 0.984022i −0.699393 0.714738i \(-0.746546\pi\)
0.963061 0.269285i \(-0.0867872\pi\)
\(348\) 10.7852 14.1082i 0.578145 0.756276i
\(349\) 34.4127 1.84207 0.921035 0.389480i \(-0.127345\pi\)
0.921035 + 0.389480i \(0.127345\pi\)
\(350\) 18.6916 0.788981i 0.999110 0.0421728i
\(351\) 8.56237i 0.457026i
\(352\) −7.20026 + 2.48045i −0.383775 + 0.132208i
\(353\) −5.69832 1.52686i −0.303291 0.0812666i 0.103964 0.994581i \(-0.466847\pi\)
−0.407255 + 0.913314i \(0.633514\pi\)
\(354\) 2.12256 + 1.85805i 0.112813 + 0.0987544i
\(355\) −1.13982 + 3.08831i −0.0604954 + 0.163911i
\(356\) 7.12153 5.48500i 0.377440 0.290704i
\(357\) −27.1740 10.3599i −1.43820 0.548303i
\(358\) −0.0504378 0.0248166i −0.00266572 0.00131160i
\(359\) 7.06599 12.2387i 0.372929 0.645931i −0.617086 0.786896i \(-0.711687\pi\)
0.990015 + 0.140964i \(0.0450203\pi\)
\(360\) −18.5605 14.9511i −0.978222 0.787994i
\(361\) 18.8718 + 32.6869i 0.993252 + 1.72036i
\(362\) 26.3963 17.6719i 1.38736 0.928815i
\(363\) −16.9017 + 16.9017i −0.887109 + 0.887109i
\(364\) 11.9214 + 19.2764i 0.624852 + 1.01036i
\(365\) −1.72951 1.22265i −0.0905268 0.0639966i
\(366\) −0.979594 + 4.94809i −0.0512042 + 0.258641i
\(367\) 17.0934 + 4.58016i 0.892269 + 0.239083i 0.675693 0.737183i \(-0.263845\pi\)
0.216576 + 0.976266i \(0.430511\pi\)
\(368\) −8.11466 4.64602i −0.423006 0.242191i
\(369\) 31.2711 + 18.0544i 1.62791 + 0.939872i
\(370\) −25.7547 + 14.0092i −1.33892 + 0.728303i
\(371\) 0.244854 + 0.0251691i 0.0127122 + 0.00130672i
\(372\) −4.43920 + 34.1960i −0.230162 + 1.77298i
\(373\) 20.1671 5.40375i 1.04421 0.279795i 0.304353 0.952559i \(-0.401560\pi\)
0.739857 + 0.672764i \(0.234893\pi\)
\(374\) −6.05257 5.29830i −0.312971 0.273969i
\(375\) 7.14823 + 28.1949i 0.369133 + 1.45598i
\(376\) 4.85030 + 9.76867i 0.250135 + 0.503780i
\(377\) −10.3369 10.3369i −0.532380 0.532380i
\(378\) −7.47479 0.269807i −0.384462 0.0138774i
\(379\) 8.01780i 0.411847i 0.978568 + 0.205923i \(0.0660198\pi\)
−0.978568 + 0.205923i \(0.933980\pi\)
\(380\) 32.1559 10.0435i 1.64956 0.515220i
\(381\) −9.07889 + 5.24170i −0.465126 + 0.268540i
\(382\) −2.20754 33.2211i −0.112947 1.69974i
\(383\) −30.6150 + 8.20325i −1.56435 + 0.419167i −0.934038 0.357174i \(-0.883740\pi\)
−0.630313 + 0.776341i \(0.717074\pi\)
\(384\) 19.5465 + 22.0065i 0.997479 + 1.12301i
\(385\) 7.53632 2.57632i 0.384086 0.131301i
\(386\) 2.09231 + 6.14553i 0.106496 + 0.312799i
\(387\) 19.2116 5.14773i 0.976579 0.261674i
\(388\) −28.5587 + 11.8899i −1.44985 + 0.603616i
\(389\) −10.4742 18.1418i −0.531063 0.919828i −0.999343 0.0362475i \(-0.988460\pi\)
0.468280 0.883580i \(-0.344874\pi\)
\(390\) −25.5426 + 24.2762i −1.29340 + 1.22927i
\(391\) 9.87664i 0.499483i
\(392\) −17.2036 + 9.79975i −0.868915 + 0.494962i
\(393\) 26.3523 26.3523i 1.32930 1.32930i
\(394\) −31.1063 6.15825i −1.56711 0.310248i
\(395\) −5.19250 + 4.31735i −0.261263 + 0.217230i
\(396\) −9.38100 3.86591i −0.471413 0.194269i
\(397\) 1.00605 + 3.75465i 0.0504924 + 0.188440i 0.986566 0.163365i \(-0.0522347\pi\)
−0.936073 + 0.351805i \(0.885568\pi\)
\(398\) −2.12738 + 4.32373i −0.106636 + 0.216729i
\(399\) 30.3807 42.0172i 1.52094 2.10349i
\(400\) −1.63568 19.9330i −0.0817841 0.996650i
\(401\) 10.7819 18.6747i 0.538421 0.932572i −0.460568 0.887624i \(-0.652354\pi\)
0.998989 0.0449481i \(-0.0143122\pi\)
\(402\) −31.8501 + 2.11643i −1.58854 + 0.105558i
\(403\) 27.4190 + 7.34690i 1.36584 + 0.365975i
\(404\) 3.27310 + 24.5196i 0.162843 + 1.21989i
\(405\) 2.30977 + 13.4531i 0.114773 + 0.668492i
\(406\) 9.34968 8.69823i 0.464017 0.431686i
\(407\) −8.82569 + 8.82569i −0.437473 + 0.437473i
\(408\) −9.91374 + 29.4668i −0.490803 + 1.45883i
\(409\) 30.1987 17.4352i 1.49323 0.862116i 0.493258 0.869883i \(-0.335806\pi\)
0.999970 + 0.00776728i \(0.00247243\pi\)
\(410\) 7.09618 + 29.4584i 0.350455 + 1.45485i
\(411\) 3.85332 6.67415i 0.190070 0.329211i
\(412\) −1.44148 + 11.1040i −0.0710167 + 0.547054i
\(413\) 1.28020 + 1.57355i 0.0629947 + 0.0774292i
\(414\) −4.01514 11.7932i −0.197333 0.579606i
\(415\) 20.4772 9.43672i 1.00519 0.463230i
\(416\) 20.0855 13.5522i 0.984771 0.664450i
\(417\) −15.2624 + 56.9599i −0.747401 + 2.78934i
\(418\) 11.9174 7.97854i 0.582901 0.390243i
\(419\) 1.80053i 0.0879618i 0.999032 + 0.0439809i \(0.0140041\pi\)
−0.999032 + 0.0439809i \(0.985996\pi\)
\(420\) −20.3878 23.0632i −0.994823 1.12537i
\(421\) 7.84933i 0.382553i 0.981536 + 0.191276i \(0.0612627\pi\)
−0.981536 + 0.191276i \(0.938737\pi\)
\(422\) −0.813092 1.21450i −0.0395807 0.0591211i
\(423\) −3.76090 + 14.0359i −0.182861 + 0.682448i
\(424\) 0.0164991 0.262622i 0.000801269 0.0127540i
\(425\) 17.4131 11.9607i 0.844660 0.580177i
\(426\) 5.12754 1.74573i 0.248430 0.0845808i
\(427\) −1.29214 + 3.38929i −0.0625310 + 0.164019i
\(428\) −0.639480 + 4.92603i −0.0309104 + 0.238109i
\(429\) −7.50091 + 12.9920i −0.362147 + 0.627258i
\(430\) 14.2375 + 8.70978i 0.686594 + 0.420023i
\(431\) −25.2094 + 14.5547i −1.21430 + 0.701074i −0.963692 0.267016i \(-0.913962\pi\)
−0.250603 + 0.968090i \(0.580629\pi\)
\(432\) 0.0288676 + 7.99604i 0.00138889 + 0.384710i
\(433\) 10.4043 10.4043i 0.500000 0.500000i −0.411438 0.911438i \(-0.634973\pi\)
0.911438 + 0.411438i \(0.134973\pi\)
\(434\) −7.27770 + 23.7048i −0.349341 + 1.13787i
\(435\) 16.2124 + 11.4611i 0.777325 + 0.549519i
\(436\) −4.60278 + 0.614422i −0.220433 + 0.0294255i
\(437\) 17.0091 + 4.55757i 0.813654 + 0.218018i
\(438\) 0.231070 + 3.47736i 0.0110410 + 0.166155i
\(439\) 5.42804 9.40164i 0.259066 0.448716i −0.706926 0.707288i \(-0.749919\pi\)
0.965992 + 0.258572i \(0.0832519\pi\)
\(440\) −3.07172 7.94103i −0.146438 0.378574i
\(441\) −25.8270 5.36633i −1.22986 0.255540i
\(442\) 22.9639 + 11.2988i 1.09228 + 0.537429i
\(443\) −4.17521 15.5821i −0.198370 0.740327i −0.991369 0.131104i \(-0.958148\pi\)
0.792998 0.609224i \(-0.208519\pi\)
\(444\) 44.6016 + 18.3803i 2.11670 + 0.872292i
\(445\) 6.42528 + 7.72771i 0.304587 + 0.366329i
\(446\) 4.43505 22.4021i 0.210006 1.06077i
\(447\) −8.58733 + 8.58733i −0.406167 + 0.406167i
\(448\) 11.1979 + 17.9613i 0.529051 + 0.848590i
\(449\) 35.3355i 1.66759i 0.552077 + 0.833793i \(0.313835\pi\)
−0.552077 + 0.833793i \(0.686165\pi\)
\(450\) 15.9298 21.3606i 0.750939 1.00695i
\(451\) 6.44989 + 11.1715i 0.303714 + 0.526047i
\(452\) −1.88115 4.51842i −0.0884820 0.212529i
\(453\) 4.63803 1.24276i 0.217914 0.0583898i
\(454\) −7.80587 + 2.65759i −0.366348 + 0.124727i
\(455\) −21.0393 + 14.1235i −0.986338 + 0.662122i
\(456\) −46.1717 30.6704i −2.16219 1.43627i
\(457\) −30.9202 + 8.28503i −1.44638 + 0.387557i −0.894764 0.446538i \(-0.852657\pi\)
−0.551620 + 0.834096i \(0.685990\pi\)
\(458\) 13.3999 0.890425i 0.626138 0.0416068i
\(459\) −7.31441 + 4.22298i −0.341407 + 0.197112i
\(460\) 4.85222 9.26000i 0.226236 0.431750i
\(461\) 32.7954i 1.52743i −0.645551 0.763717i \(-0.723372\pi\)
0.645551 0.763717i \(-0.276628\pi\)
\(462\) −11.1054 6.95754i −0.516669 0.323694i
\(463\) 10.5490 + 10.5490i 0.490253 + 0.490253i 0.908386 0.418133i \(-0.137315\pi\)
−0.418133 + 0.908386i \(0.637315\pi\)
\(464\) −9.68808 9.61838i −0.449758 0.446522i
\(465\) −38.3908 3.53294i −1.78033 0.163836i
\(466\) −0.442004 + 0.504927i −0.0204754 + 0.0233903i
\(467\) −37.6580 + 10.0904i −1.74261 + 0.466930i −0.983023 0.183482i \(-0.941263\pi\)
−0.759582 + 0.650412i \(0.774596\pi\)
\(468\) 32.0134 + 4.15587i 1.47982 + 0.192105i
\(469\) −22.8337 2.34712i −1.05436 0.108380i
\(470\) −10.7117 + 5.82661i −0.494095 + 0.268761i
\(471\) 7.23165 + 4.17520i 0.333217 + 0.192383i
\(472\) 1.62656 1.43427i 0.0748686 0.0660175i
\(473\) 6.86331 + 1.83902i 0.315575 + 0.0845582i
\(474\) 10.8997 + 2.15786i 0.500639 + 0.0991137i
\(475\) 12.5628 + 35.5073i 0.576421 + 1.62918i
\(476\) −10.5873 + 19.6910i −0.485266 + 0.902537i
\(477\) 0.247903 0.247903i 0.0113507 0.0113507i
\(478\) 12.2292 + 18.2666i 0.559352 + 0.835496i
\(479\) 6.67440 + 11.5604i 0.304961 + 0.528208i 0.977253 0.212078i \(-0.0680232\pi\)
−0.672291 + 0.740287i \(0.734690\pi\)
\(480\) −23.7713 + 22.7566i −1.08501 + 1.03869i
\(481\) 19.8557 34.3911i 0.905342 1.56810i
\(482\) 12.9052 26.2288i 0.587817 1.19469i
\(483\) −2.55346 15.8866i −0.116186 0.722866i
\(484\) 11.2124 + 14.5578i 0.509656 + 0.661720i
\(485\) −14.4756 31.4113i −0.657303 1.42631i
\(486\) 20.3797 23.2810i 0.924443 1.05605i
\(487\) 2.24272 + 0.600935i 0.101627 + 0.0272310i 0.309274 0.950973i \(-0.399914\pi\)
−0.207647 + 0.978204i \(0.566581\pi\)
\(488\) 3.67526 + 1.23650i 0.166371 + 0.0559736i
\(489\) 33.1476i 1.49899i
\(490\) −11.6666 18.8120i −0.527044 0.849838i
\(491\) −33.1377 −1.49548 −0.747742 0.663990i \(-0.768862\pi\)
−0.747742 + 0.663990i \(0.768862\pi\)
\(492\) 30.2798 39.6093i 1.36512 1.78572i
\(493\) 3.73214 13.9285i 0.168087 0.627309i
\(494\) −30.0549 + 34.3335i −1.35223 + 1.54474i
\(495\) 3.92780 10.6423i 0.176541 0.478334i
\(496\) 25.6302 + 6.76852i 1.15083 + 0.303915i
\(497\) 3.84572 0.618122i 0.172504 0.0277266i
\(498\) −33.2878 16.3784i −1.49166 0.733934i
\(499\) −29.8457 17.2314i −1.33608 0.771384i −0.349852 0.936805i \(-0.613768\pi\)
−0.986223 + 0.165421i \(0.947102\pi\)
\(500\) 22.2020 2.65915i 0.992904 0.118921i
\(501\) 32.9242 19.0088i 1.47094 0.849250i
\(502\) 14.3994 + 21.5082i 0.642678 + 0.959958i
\(503\) 14.2936 + 14.2936i 0.637319 + 0.637319i 0.949893 0.312574i \(-0.101191\pi\)
−0.312574 + 0.949893i \(0.601191\pi\)
\(504\) −4.63677 + 27.8162i −0.206538 + 1.23903i
\(505\) −27.2580 + 4.67994i −1.21297 + 0.208254i
\(506\) 0.864329 4.36587i 0.0384241 0.194086i
\(507\) 3.60003 13.4355i 0.159883 0.596691i
\(508\) 3.09754 + 7.44011i 0.137431 + 0.330102i
\(509\) 11.9053 20.6206i 0.527692 0.913990i −0.471787 0.881713i \(-0.656391\pi\)
0.999479 0.0322771i \(-0.0102759\pi\)
\(510\) −33.3356 9.84671i −1.47613 0.436020i
\(511\) −0.256257 + 2.49296i −0.0113361 + 0.110282i
\(512\) 18.7113 12.7235i 0.826929 0.562306i
\(513\) −3.89738 14.5452i −0.172073 0.642187i
\(514\) 15.0095 + 13.1390i 0.662039 + 0.579536i
\(515\) −12.4661 1.14720i −0.549324 0.0505518i
\(516\) −3.63369 27.2208i −0.159964 1.19833i
\(517\) −3.67072 + 3.67072i −0.161438 + 0.161438i
\(518\) 29.3971 + 18.4173i 1.29163 + 0.809211i
\(519\) −9.52295 −0.418011
\(520\) 15.9793 + 21.8751i 0.700738 + 0.959288i
\(521\) 6.41794 + 11.1162i 0.281175 + 0.487010i 0.971674 0.236323i \(-0.0759425\pi\)
−0.690499 + 0.723333i \(0.742609\pi\)
\(522\) −1.20597 18.1486i −0.0527841 0.794343i
\(523\) 6.84585 + 25.5491i 0.299348 + 1.11718i 0.937702 + 0.347439i \(0.112949\pi\)
−0.638354 + 0.769743i \(0.720385\pi\)
\(524\) −17.4819 22.6979i −0.763700 0.991562i
\(525\) 24.9168 23.7407i 1.08746 1.03613i
\(526\) −18.8851 + 6.42964i −0.823429 + 0.280346i
\(527\) 7.24700 + 27.0462i 0.315684 + 1.17815i
\(528\) −6.96098 + 12.1579i −0.302938 + 0.529106i
\(529\) −15.1861 + 8.76771i −0.660266 + 0.381205i
\(530\) 0.294104 + 0.00747616i 0.0127751 + 0.000324744i
\(531\) 2.88928 0.125384
\(532\) −29.0255 27.3193i −1.25841 1.18444i
\(533\) −29.0214 29.0214i −1.25706 1.25706i
\(534\) 3.21142 16.2214i 0.138972 0.701969i
\(535\) −5.53031 0.508930i −0.239096 0.0220030i
\(536\) −1.53861 + 24.4906i −0.0664579 + 1.05783i
\(537\) −0.0998857 + 0.0267643i −0.00431039 + 0.00115496i
\(538\) 13.0849 26.5941i 0.564131 1.14655i
\(539\) −7.03198 6.27361i −0.302889 0.270223i
\(540\) −8.93241 + 0.365877i −0.384390 + 0.0157449i
\(541\) −16.8313 9.71758i −0.723636 0.417791i 0.0924536 0.995717i \(-0.470529\pi\)
−0.816089 + 0.577926i \(0.803862\pi\)
\(542\) 2.13037 + 32.0598i 0.0915072 + 1.37709i
\(543\) 15.1245 56.4455i 0.649056 2.42231i
\(544\) 21.4831 + 10.4741i 0.921082 + 0.449071i
\(545\) −0.878511 5.11684i −0.0376313 0.219181i
\(546\) 39.8587 + 12.2372i 1.70579 + 0.523703i
\(547\) −5.98689 5.98689i −0.255981 0.255981i 0.567436 0.823417i \(-0.307935\pi\)
−0.823417 + 0.567436i \(0.807935\pi\)
\(548\) −4.70674 3.59812i −0.201062 0.153704i
\(549\) 2.58317 + 4.47418i 0.110247 + 0.190953i
\(550\) 8.74399 3.76322i 0.372845 0.160464i
\(551\) 22.2648 + 12.8546i 0.948514 + 0.547625i
\(552\) −16.8618 + 3.40151i −0.717686 + 0.144778i
\(553\) 7.46596 + 2.84634i 0.317485 + 0.121039i
\(554\) −3.65934 10.7482i −0.155470 0.456647i
\(555\) −18.6746 + 50.5982i −0.792691 + 2.14778i
\(556\) 41.9133 + 17.2725i 1.77752 + 0.732517i
\(557\) −38.2627 10.2524i −1.62124 0.434410i −0.669875 0.742474i \(-0.733652\pi\)
−0.951366 + 0.308064i \(0.900319\pi\)
\(558\) 19.6484 + 29.3485i 0.831781 + 1.24242i
\(559\) −22.6069 −0.956170
\(560\) −19.6001 + 13.2603i −0.828256 + 0.560351i
\(561\) −14.7978 −0.624765
\(562\) 12.8794 + 19.2378i 0.543284 + 0.811496i
\(563\) −36.4705 9.77225i −1.53705 0.411851i −0.611739 0.791060i \(-0.709530\pi\)
−0.925311 + 0.379209i \(0.876196\pi\)
\(564\) 18.5504 + 7.64462i 0.781112 + 0.321897i
\(565\) 4.96974 2.29025i 0.209079 0.0963517i
\(566\) −9.03171 26.5279i −0.379631 1.11505i
\(567\) 12.5283 10.1928i 0.526139 0.428056i
\(568\) −0.823413 4.08179i −0.0345497 0.171268i
\(569\) −5.44853 3.14571i −0.228414 0.131875i 0.381426 0.924399i \(-0.375433\pi\)
−0.609840 + 0.792524i \(0.708766\pi\)
\(570\) 32.3402 52.8652i 1.35458 2.21428i
\(571\) −17.2833 29.9355i −0.723283 1.25276i −0.959677 0.281105i \(-0.909299\pi\)
0.236394 0.971657i \(-0.424034\pi\)
\(572\) 9.16218 + 7.00414i 0.383090 + 0.292858i
\(573\) −43.3095 43.3095i −1.80928 1.80928i
\(574\) 26.2496 24.4207i 1.09564 1.01930i
\(575\) 10.5482 + 5.03481i 0.439892 + 0.209966i
\(576\) 29.9100 + 3.77306i 1.24625 + 0.157211i
\(577\) 3.52591 13.1589i 0.146785 0.547811i −0.852884 0.522100i \(-0.825149\pi\)
0.999669 0.0257102i \(-0.00818471\pi\)
\(578\) 0.0797927 + 1.20079i 0.00331894 + 0.0499465i
\(579\) 10.3427 + 5.97134i 0.429826 + 0.248160i
\(580\) 10.3420 11.2254i 0.429427 0.466108i
\(581\) −21.6188 15.6315i −0.896897 0.648505i
\(582\) −25.1239 + 51.0623i −1.04142 + 2.11660i
\(583\) 0.120979 0.0324163i 0.00501044 0.00134254i
\(584\) 2.67386 + 0.167984i 0.110645 + 0.00695124i
\(585\) −3.30745 + 35.9405i −0.136746 + 1.48596i
\(586\) −1.43856 + 7.26638i −0.0594262 + 0.300171i
\(587\) 15.9880 + 15.9880i 0.659893 + 0.659893i 0.955355 0.295461i \(-0.0954733\pi\)
−0.295461 + 0.955355i \(0.595473\pi\)
\(588\) −11.9388 + 34.4103i −0.492348 + 1.41906i
\(589\) −49.9218 −2.05699
\(590\) 1.67031 + 1.75744i 0.0687655 + 0.0723528i
\(591\) −50.5190 + 29.1672i −2.07808 + 1.19978i
\(592\) 18.4264 32.1833i 0.757322 1.32273i
\(593\) −7.54158 28.1455i −0.309695 1.15580i −0.928828 0.370512i \(-0.879182\pi\)
0.619132 0.785287i \(-0.287484\pi\)
\(594\) −3.60282 + 1.22662i −0.147826 + 0.0503289i
\(595\) −22.4417 11.0071i −0.920018 0.451246i
\(596\) 5.69676 + 7.39647i 0.233348 + 0.302971i
\(597\) 2.29434 + 8.56260i 0.0939012 + 0.350444i
\(598\) 0.938875 + 14.1291i 0.0383934 + 0.577780i
\(599\) 19.2801 + 33.3941i 0.787763 + 1.36445i 0.927335 + 0.374233i \(0.122094\pi\)
−0.139572 + 0.990212i \(0.544573\pi\)
\(600\) −26.4168 25.6091i −1.07846 1.04549i
\(601\) −14.9274 −0.608900 −0.304450 0.952528i \(-0.598473\pi\)
−0.304450 + 0.952528i \(0.598473\pi\)
\(602\) 0.712362 19.7354i 0.0290337 0.804355i
\(603\) −23.1179 + 23.1179i −0.941435 + 0.941435i
\(604\) −0.488414 3.65883i −0.0198733 0.148876i
\(605\) −15.7970 + 13.1346i −0.642239 + 0.533995i
\(606\) 34.2408 + 29.9738i 1.39094 + 1.21760i
\(607\) 2.44316 + 9.11801i 0.0991650 + 0.370089i 0.997618 0.0689810i \(-0.0219748\pi\)
−0.898453 + 0.439070i \(0.855308\pi\)
\(608\) −27.9513 + 32.1640i −1.13357 + 1.30442i
\(609\) 2.40215 23.3690i 0.0973399 0.946959i
\(610\) −1.22814 + 4.15780i −0.0497258 + 0.168344i
\(611\) 8.25824 14.3037i 0.334093 0.578666i
\(612\) 12.2389 + 29.3971i 0.494729 + 1.18831i
\(613\) 6.66205 24.8631i 0.269078 1.00421i −0.690629 0.723209i \(-0.742666\pi\)
0.959707 0.281003i \(-0.0906671\pi\)
\(614\) 5.99405 30.2769i 0.241900 1.22188i
\(615\) 45.5170 + 32.1776i 1.83542 + 1.29753i
\(616\) −6.40320 + 7.77770i −0.257992 + 0.313373i
\(617\) 24.6497 + 24.6497i 0.992359 + 0.992359i 0.999971 0.00761213i \(-0.00242304\pi\)
−0.00761213 + 0.999971i \(0.502423\pi\)
\(618\) 11.4594 + 17.1167i 0.460963 + 0.688534i
\(619\) 0.587745 0.339335i 0.0236235 0.0136390i −0.488142 0.872764i \(-0.662325\pi\)
0.511765 + 0.859125i \(0.328992\pi\)
\(620\) −6.49277 + 28.9179i −0.260756 + 1.16137i
\(621\) −4.04694 2.33650i −0.162398 0.0937606i
\(622\) −19.4749 9.58213i −0.780873 0.384208i
\(623\) 4.23605 11.1112i 0.169714 0.445160i
\(624\) 11.3810 43.0963i 0.455605 1.72523i
\(625\) 3.89730 + 24.6944i 0.155892 + 0.987774i
\(626\) −5.55145 + 6.34175i −0.221881 + 0.253467i
\(627\) 6.82845 25.4841i 0.272702 1.01774i
\(628\) 3.89869 5.09990i 0.155574 0.203508i
\(629\) 39.1714 1.56187
\(630\) −31.2712 4.01986i −1.24587 0.160155i
\(631\) 22.1330i 0.881099i 0.897728 + 0.440550i \(0.145216\pi\)
−0.897728 + 0.440550i \(0.854784\pi\)
\(632\) 2.72376 8.09590i 0.108346 0.322038i
\(633\) −2.59708 0.695886i −0.103225 0.0276590i
\(634\) −3.30384 + 3.77418i −0.131212 + 0.149892i
\(635\) −8.18326 + 3.77117i −0.324743 + 0.149654i
\(636\) −0.295380 0.383511i −0.0117126 0.0152072i
\(637\) 26.7770 + 13.4896i 1.06094 + 0.534478i
\(638\) 2.86867 5.83035i 0.113572 0.230826i
\(639\) 2.77390 4.80454i 0.109734 0.190065i
\(640\) 14.9961 + 20.3744i 0.592774 + 0.805369i
\(641\) 9.20163 + 15.9377i 0.363443 + 0.629501i 0.988525 0.151058i \(-0.0482680\pi\)
−0.625082 + 0.780559i \(0.714935\pi\)
\(642\) 5.08368 + 7.59342i 0.200637 + 0.299688i
\(643\) 10.4574 10.4574i 0.412399 0.412399i −0.470174 0.882574i \(-0.655809\pi\)
0.882574 + 0.470174i \(0.155809\pi\)
\(644\) −12.3640 + 0.374402i −0.487209 + 0.0147535i
\(645\) 30.2610 5.19552i 1.19153 0.204573i
\(646\) −44.1526 8.74107i −1.73716 0.343913i
\(647\) −19.0942 5.11628i −0.750671 0.201142i −0.136855 0.990591i \(-0.543700\pi\)
−0.613816 + 0.789449i \(0.710366\pi\)
\(648\) −11.4194 12.9504i −0.448596 0.508740i
\(649\) 0.893903 + 0.516095i 0.0350888 + 0.0202585i
\(650\) −23.7734 + 18.7657i −0.932469 + 0.736049i
\(651\) 18.6492 + 41.6303i 0.730920 + 1.63162i
\(652\) −25.2703 3.28050i −0.989662 0.128474i
\(653\) 28.1197 7.53465i 1.10041 0.294854i 0.337478 0.941333i \(-0.390426\pi\)
0.762931 + 0.646480i \(0.223760\pi\)
\(654\) −5.62663 + 6.42764i −0.220019 + 0.251340i
\(655\) 24.6299 20.4788i 0.962370 0.800172i
\(656\) −27.1997 27.0040i −1.06197 1.05433i
\(657\) 2.52400 + 2.52400i 0.0984705 + 0.0984705i
\(658\) 12.2266 + 7.66001i 0.476644 + 0.298618i
\(659\) 31.0817i 1.21077i −0.795932 0.605386i \(-0.793019\pi\)
0.795932 0.605386i \(-0.206981\pi\)
\(660\) −13.8739 7.26992i −0.540043 0.282981i
\(661\) −40.0158 + 23.1031i −1.55643 + 0.898608i −0.558841 + 0.829275i \(0.688754\pi\)
−0.997594 + 0.0693333i \(0.977913\pi\)
\(662\) −5.04250 + 0.335074i −0.195982 + 0.0130230i
\(663\) 45.4772 12.1856i 1.76619 0.473248i
\(664\) −15.7806 + 23.7563i −0.612405 + 0.921924i
\(665\) 29.3115 33.5687i 1.13665 1.30174i
\(666\) 46.7728 15.9243i 1.81241 0.617054i
\(667\) 7.70642 2.06493i 0.298394 0.0799544i
\(668\) −11.2331 26.9813i −0.434622 1.04394i
\(669\) −21.0056 36.3828i −0.812124 1.40664i
\(670\) −27.4264 0.697183i −1.05958 0.0269345i
\(671\) 1.84567i 0.0712512i
\(672\) 37.2636 + 11.2934i 1.43747 + 0.435653i
\(673\) −13.8111 + 13.8111i −0.532380 + 0.532380i −0.921280 0.388900i \(-0.872855\pi\)
0.388900 + 0.921280i \(0.372855\pi\)
\(674\) −5.24271 + 26.4818i −0.201942 + 1.02004i
\(675\) −0.781472 9.96452i −0.0300789 0.383535i
\(676\) −9.88637 4.07418i −0.380245 0.156699i
\(677\) 1.51526 + 5.65504i 0.0582363 + 0.217341i 0.988912 0.148505i \(-0.0474462\pi\)
−0.930675 + 0.365846i \(0.880780\pi\)
\(678\) −8.07882 3.97497i −0.310265 0.152658i
\(679\) −23.9782 + 33.1624i −0.920199 + 1.27266i
\(680\) −10.8058 + 24.4392i −0.414385 + 0.937199i
\(681\) −7.58462 + 13.1369i −0.290643 + 0.503409i
\(682\) 0.836584 + 12.5897i 0.0320345 + 0.482084i
\(683\) 6.61451 + 1.77235i 0.253097 + 0.0678172i 0.383137 0.923692i \(-0.374844\pi\)
−0.130040 + 0.991509i \(0.541510\pi\)
\(684\) −56.2740 + 7.51198i −2.15169 + 0.287228i
\(685\) 3.82364 5.40875i 0.146094 0.206658i
\(686\) −12.6199 + 22.9507i −0.481832 + 0.876264i
\(687\) 17.4692 17.4692i 0.666490 0.666490i
\(688\) −21.1116 + 0.0762179i −0.804874 + 0.00290578i
\(689\) −0.345103 + 0.199245i −0.0131474 + 0.00759064i
\(690\) −4.50389 18.6970i −0.171460 0.711783i
\(691\) 0.880585 1.52522i 0.0334990 0.0580220i −0.848790 0.528730i \(-0.822668\pi\)
0.882289 + 0.470708i \(0.156002\pi\)
\(692\) −0.942454 + 7.25989i −0.0358267 + 0.275980i
\(693\) −13.2523 + 2.13004i −0.503412 + 0.0809135i
\(694\) −25.4054 + 8.64954i −0.964375 + 0.328332i
\(695\) −17.5490 + 47.5486i −0.665672 + 1.80362i
\(696\) −25.0647 1.57468i −0.950075 0.0596881i
\(697\) 10.4781 39.1050i 0.396888 1.48121i
\(698\) −27.0744 40.4406i −1.02478 1.53070i
\(699\) 1.23449i 0.0466927i
\(700\) −15.6329 21.3450i −0.590870 0.806767i
\(701\) 33.6955i 1.27266i 0.771416 + 0.636331i \(0.219549\pi\)
−0.771416 + 0.636331i \(0.780451\pi\)
\(702\) 10.0622 6.73650i 0.379774 0.254253i
\(703\) −18.0756 + 67.4591i −0.681735 + 2.54427i
\(704\) 8.57979 + 6.50999i 0.323363 + 0.245354i
\(705\) −7.76700 + 21.0445i −0.292522 + 0.792581i
\(706\) 2.68887 + 7.89774i 0.101197 + 0.297235i
\(707\) 20.6520 + 25.3842i 0.776700 + 0.954671i
\(708\) 0.513580 3.95620i 0.0193015 0.148683i
\(709\) −17.6080 + 30.4979i −0.661281 + 1.14537i 0.318998 + 0.947755i \(0.396654\pi\)
−0.980279 + 0.197617i \(0.936680\pi\)
\(710\) 4.52604 1.09027i 0.169859 0.0409171i
\(711\) 9.85576 5.69023i 0.369620 0.213400i
\(712\) −12.0487 4.05363i −0.451544 0.151916i
\(713\) −10.9546 + 10.9546i −0.410252 + 0.410252i
\(714\) 9.20475 + 40.0847i 0.344479 + 1.50013i
\(715\) −7.44314 + 10.5287i −0.278358 + 0.393752i
\(716\) 0.0105186 + 0.0787974i 0.000393099 + 0.00294480i
\(717\) 39.0612 + 10.4664i 1.45877 + 0.390875i
\(718\) −19.9417 + 1.32512i −0.744216 + 0.0494531i
\(719\) 1.99792 3.46050i 0.0745098 0.129055i −0.826363 0.563138i \(-0.809594\pi\)
0.900873 + 0.434083i \(0.142927\pi\)
\(720\) −2.96751 + 33.5745i −0.110593 + 1.25125i
\(721\) 6.05571 + 13.5180i 0.225526 + 0.503438i
\(722\) 23.5650 47.8941i 0.877000 1.78243i
\(723\) −13.9181 51.9429i −0.517618 1.93178i
\(724\) −41.5349 17.1165i −1.54363 0.636131i
\(725\) 12.9731 + 11.0862i 0.481809 + 0.411733i
\(726\) 33.1598 + 6.56479i 1.23068 + 0.243642i
\(727\) 21.1551 21.1551i 0.784598 0.784598i −0.196005 0.980603i \(-0.562797\pi\)
0.980603 + 0.196005i \(0.0627969\pi\)
\(728\) 13.2738 29.1755i 0.491959 1.08132i
\(729\) 38.6059i 1.42985i
\(730\) −0.0761178 + 2.99439i −0.00281725 + 0.110827i
\(731\) −11.1498 19.3120i −0.412389 0.714278i
\(732\) 6.58552 2.74175i 0.243408 0.101338i
\(733\) 20.4556 5.48107i 0.755546 0.202448i 0.139569 0.990212i \(-0.455428\pi\)
0.615977 + 0.787764i \(0.288762\pi\)
\(734\) −8.06588 23.6911i −0.297717 0.874453i
\(735\) −38.9432 11.9030i −1.43644 0.439048i
\(736\) 0.924411 + 13.1914i 0.0340742 + 0.486240i
\(737\) −11.2818 + 3.02295i −0.415571 + 0.111352i
\(738\) −3.38583 50.9530i −0.124634 1.87561i
\(739\) 0.950273 0.548641i 0.0349564 0.0201821i −0.482420 0.875940i \(-0.660242\pi\)
0.517376 + 0.855758i \(0.326909\pi\)
\(740\) 36.7258 + 19.2442i 1.35007 + 0.707432i
\(741\) 83.9416i 3.08367i
\(742\) −0.163063 0.307547i −0.00598622 0.0112904i
\(743\) −5.20049 5.20049i −0.190787 0.190787i 0.605249 0.796036i \(-0.293074\pi\)
−0.796036 + 0.605249i \(0.793074\pi\)
\(744\) 43.6785 21.6871i 1.60133 0.795087i
\(745\) −8.02606 + 6.67334i −0.294052 + 0.244492i
\(746\) −22.2169 19.4482i −0.813417 0.712050i
\(747\) −36.7031 + 9.83456i −1.34290 + 0.359828i
\(748\) −1.46449 + 11.2812i −0.0535471 + 0.412483i
\(749\) 2.68647 + 5.99696i 0.0981616 + 0.219124i
\(750\) 27.5097 30.5828i 1.00451 1.11673i
\(751\) −23.6913 13.6782i −0.864510 0.499125i 0.00101023 0.999999i \(-0.499678\pi\)
−0.865520 + 0.500875i \(0.833012\pi\)
\(752\) 7.66380 13.3855i 0.279470 0.488118i
\(753\) 45.9929 + 12.3238i 1.67608 + 0.449103i
\(754\) −4.01497 + 20.2803i −0.146217 + 0.738564i
\(755\) 4.06747 0.698344i 0.148030 0.0254153i
\(756\) 5.56377 + 8.99640i 0.202352 + 0.327196i
\(757\) 24.8295 24.8295i 0.902444 0.902444i −0.0932031 0.995647i \(-0.529711\pi\)
0.995647 + 0.0932031i \(0.0297106\pi\)
\(758\) 9.42225 6.30805i 0.342232 0.229119i
\(759\) −4.09370 7.09050i −0.148592 0.257369i
\(760\) −37.1016 29.8867i −1.34582 1.08410i
\(761\) 3.21147 5.56244i 0.116416 0.201638i −0.801929 0.597419i \(-0.796193\pi\)
0.918345 + 0.395781i \(0.129526\pi\)
\(762\) 13.3027 + 6.54526i 0.481907 + 0.237110i
\(763\) −4.76508 + 3.87677i −0.172508 + 0.140348i
\(764\) −37.3035 + 28.7311i −1.34959 + 1.03945i
\(765\) −32.3335 + 14.9005i −1.16902 + 0.538730i
\(766\) 33.7267 + 29.5237i 1.21859 + 1.06673i
\(767\) −3.17216 0.849977i −0.114540 0.0306909i
\(768\) 10.4829 40.2842i 0.378271 1.45363i
\(769\) 34.2490i 1.23505i 0.786551 + 0.617525i \(0.211865\pi\)
−0.786551 + 0.617525i \(0.788135\pi\)
\(770\) −8.95684 6.82949i −0.322782 0.246118i
\(771\) 36.6964 1.32159
\(772\) 5.57587 7.29385i 0.200680 0.262511i
\(773\) 3.70596 13.8308i 0.133294 0.497461i −0.866705 0.498821i \(-0.833766\pi\)
0.999999 + 0.00136055i \(0.000433078\pi\)
\(774\) −21.1643 18.5268i −0.760734 0.665932i
\(775\) −32.5796 6.04752i −1.17029 0.217233i
\(776\) 36.4413 + 24.2068i 1.30817 + 0.868975i
\(777\) 63.0074 10.1272i 2.26038 0.363311i
\(778\) −13.0790 + 26.5821i −0.468906 + 0.953015i
\(779\) 62.5095 + 36.0899i 2.23964 + 1.29305i
\(780\) 48.6244 + 10.9174i 1.74103 + 0.390904i
\(781\) 1.71642 0.990973i 0.0614182 0.0354598i
\(782\) −11.6067 + 7.77051i −0.415054 + 0.277873i
\(783\) −4.82429 4.82429i −0.172406 0.172406i
\(784\) 25.0514 + 12.5071i 0.894693 + 0.446683i
\(785\) 5.86056 + 4.14304i 0.209172 + 0.147871i
\(786\) −51.7012 10.2355i −1.84412 0.365088i
\(787\) 3.12306 11.6554i 0.111325 0.415471i −0.887661 0.460498i \(-0.847671\pi\)
0.998986 + 0.0450274i \(0.0143375\pi\)
\(788\) 17.2361 + 41.4001i 0.614011 + 1.47482i
\(789\) −18.3498 + 31.7828i −0.653271 + 1.13150i
\(790\) 9.15884 + 2.70535i 0.325857 + 0.0962520i
\(791\) −5.24679 3.79371i −0.186554 0.134889i
\(792\) 2.83747 + 14.0658i 0.100825 + 0.499805i
\(793\) −1.51985 5.67216i −0.0539715 0.201424i
\(794\) 3.62081 4.13627i 0.128498 0.146791i
\(795\) 0.416155 0.346016i 0.0147595 0.0122719i
\(796\) 6.75483 0.901697i 0.239418 0.0319598i
\(797\) 0.417606 0.417606i 0.0147924 0.0147924i −0.699672 0.714464i \(-0.746670\pi\)
0.714464 + 0.699672i \(0.246670\pi\)
\(798\) −73.2794 2.64507i −2.59406 0.0936344i
\(799\) 16.2919 0.576367
\(800\) −22.1377 + 17.6046i −0.782686 + 0.622417i
\(801\) −8.46845 14.6678i −0.299218 0.518261i
\(802\) −30.4286 + 2.02198i −1.07447 + 0.0713986i
\(803\) 0.330043 + 1.23174i 0.0116470 + 0.0434671i
\(804\) 27.5454 + 35.7640i 0.971451 + 1.26130i
\(805\) −0.934175 13.7981i −0.0329253 0.486319i
\(806\) −12.9382 38.0021i −0.455730 1.33857i
\(807\) −14.1119 52.6663i −0.496762 1.85394i
\(808\) 26.2394 23.1373i 0.923100 0.813969i
\(809\) 14.7536 8.51800i 0.518709 0.299477i −0.217697 0.976016i \(-0.569855\pi\)
0.736406 + 0.676540i \(0.236521\pi\)
\(810\) 13.9924 13.2987i 0.491644 0.467269i
\(811\) 4.67738 0.164245 0.0821226 0.996622i \(-0.473830\pi\)
0.0821226 + 0.996622i \(0.473830\pi\)
\(812\) −17.5778 4.14404i −0.616859 0.145427i
\(813\) 41.7955 + 41.7955i 1.46583 + 1.46583i
\(814\) 17.3153 + 3.42799i 0.606902 + 0.120151i
\(815\) 2.61079 28.3703i 0.0914519 0.993767i
\(816\) 42.4281 11.5329i 1.48528 0.403733i
\(817\) 38.4032 10.2901i 1.34356 0.360005i
\(818\) −44.2482 21.7712i −1.54710 0.761212i
\(819\) 38.9732 17.4589i 1.36184 0.610064i
\(820\) 29.0355 31.5157i 1.01396 1.10058i
\(821\) 42.5947 + 24.5921i 1.48657 + 0.858269i 0.999883 0.0153104i \(-0.00487363\pi\)
0.486682 + 0.873579i \(0.338207\pi\)
\(822\) −10.8749 + 0.722633i −0.379304 + 0.0252047i
\(823\) 6.20131 23.1436i 0.216164 0.806736i −0.769589 0.638539i \(-0.779539\pi\)
0.985753 0.168197i \(-0.0537943\pi\)
\(824\) 14.1831 7.04215i 0.494093 0.245325i
\(825\) 7.54348 15.8041i 0.262630 0.550227i
\(826\) 0.841971 2.74245i 0.0292959 0.0954221i
\(827\) −12.4249 12.4249i −0.432056 0.432056i 0.457271 0.889327i \(-0.348827\pi\)
−0.889327 + 0.457271i \(0.848827\pi\)
\(828\) −10.7001 + 13.9968i −0.371853 + 0.486424i
\(829\) −18.4502 31.9567i −0.640802 1.10990i −0.985254 0.171098i \(-0.945269\pi\)
0.344452 0.938804i \(-0.388065\pi\)
\(830\) −27.2003 16.6397i −0.944136 0.577574i
\(831\) −18.0887 10.4435i −0.627492 0.362282i
\(832\) −31.7284 12.9415i −1.09998 0.448665i
\(833\) 1.68295 + 29.5274i 0.0583107 + 1.02306i
\(834\) 78.9451 26.8777i 2.73364 0.930700i
\(835\) 29.6763 13.6760i 1.02699 0.473278i
\(836\) −18.7522 7.72780i −0.648559 0.267272i
\(837\) 12.7966 + 3.42883i 0.442314 + 0.118518i
\(838\) 2.11592 1.41658i 0.0730934 0.0489349i
\(839\) −13.2988 −0.459127 −0.229563 0.973294i \(-0.573730\pi\)
−0.229563 + 0.973294i \(0.573730\pi\)
\(840\) −11.0628 + 42.1042i −0.381704 + 1.45273i
\(841\) −17.3517 −0.598336
\(842\) 9.22427 6.17551i 0.317889 0.212822i
\(843\) 41.1378 + 11.0229i 1.41686 + 0.379647i
\(844\) −0.787538 + 1.91104i −0.0271082 + 0.0657806i
\(845\) 4.13940 11.2156i 0.142400 0.385828i
\(846\) 19.4534 6.62313i 0.668822 0.227708i
\(847\) 22.7135 + 8.65933i 0.780444 + 0.297538i
\(848\) −0.321605 + 0.187230i −0.0110440 + 0.00642951i
\(849\) −44.6453 25.7760i −1.53222 0.884630i
\(850\) −27.7556 11.0532i −0.952011 0.379121i
\(851\) 10.8365 + 18.7693i 0.371469 + 0.643403i
\(852\) −6.08564 4.65225i −0.208491 0.159383i
\(853\) −8.18730 8.18730i −0.280328 0.280328i 0.552912 0.833240i \(-0.313517\pi\)
−0.833240 + 0.552912i \(0.813517\pi\)
\(854\) 4.99958 1.14807i 0.171082 0.0392860i
\(855\) −10.7408 62.5590i −0.367326 2.13947i
\(856\) 6.29201 3.12409i 0.215057 0.106779i
\(857\) 2.80662 10.4744i 0.0958722 0.357800i −0.901278 0.433241i \(-0.857370\pi\)
0.997150 + 0.0754412i \(0.0240365\pi\)
\(858\) 21.1691 1.40668i 0.722701 0.0480234i
\(859\) 17.8737 + 10.3194i 0.609843 + 0.352093i 0.772904 0.634523i \(-0.218803\pi\)
−0.163061 + 0.986616i \(0.552137\pi\)
\(860\) −0.966012 23.5839i −0.0329407 0.804204i
\(861\) 6.74413 65.6094i 0.229839 2.23596i
\(862\) 36.9378 + 18.1743i 1.25811 + 0.619019i
\(863\) −13.6046 + 3.64533i −0.463105 + 0.124089i −0.482825 0.875717i \(-0.660389\pi\)
0.0197198 + 0.999806i \(0.493723\pi\)
\(864\) 9.37396 6.32486i 0.318909 0.215176i
\(865\) −8.15048 0.750052i −0.277124 0.0255025i
\(866\) −20.4125 4.04114i −0.693644 0.137324i
\(867\) 1.56544 + 1.56544i 0.0531653 + 0.0531653i
\(868\) 33.5828 10.0974i 1.13987 0.342727i
\(869\) 4.06565 0.137918
\(870\) 0.713527 28.0694i 0.0241908 0.951641i
\(871\) 32.1823 18.5804i 1.09045 0.629574i
\(872\) 4.34331 + 4.92563i 0.147083 + 0.166803i
\(873\) 15.0859 + 56.3012i 0.510579 + 1.90551i
\(874\) −8.02609 23.5742i −0.271487 0.797408i
\(875\) 23.1956 18.3566i 0.784154 0.620566i
\(876\) 3.90468 3.00738i 0.131927 0.101610i
\(877\) 3.34102 + 12.4689i 0.112818 + 0.421044i 0.999114 0.0420751i \(-0.0133969\pi\)
−0.886296 + 0.463119i \(0.846730\pi\)
\(878\) −15.3190 + 1.01795i −0.516992 + 0.0343541i
\(879\) 6.81339 + 11.8011i 0.229810 + 0.398043i
\(880\) −6.91534 + 9.85743i −0.233116 + 0.332294i
\(881\) −38.2543 −1.28882 −0.644410 0.764680i \(-0.722897\pi\)
−0.644410 + 0.764680i \(0.722897\pi\)
\(882\) 14.0132 + 34.5731i 0.471850 + 1.16414i
\(883\) 6.59194 6.59194i 0.221837 0.221837i −0.587435 0.809271i \(-0.699862\pi\)
0.809271 + 0.587435i \(0.199862\pi\)
\(884\) −4.78904 35.8758i −0.161073 1.20663i
\(885\) 4.44151 + 0.408732i 0.149300 + 0.0137394i
\(886\) −15.0267 + 17.1659i −0.504831 + 0.576699i
\(887\) 8.49782 + 31.7143i 0.285329 + 1.06486i 0.948599 + 0.316482i \(0.102502\pi\)
−0.663270 + 0.748380i \(0.730832\pi\)
\(888\) −13.4906 66.8751i −0.452716 2.24418i
\(889\) 8.63945 + 6.24679i 0.289758 + 0.209511i
\(890\) 4.02622 13.6306i 0.134959 0.456898i
\(891\) 4.10906 7.11710i 0.137659 0.238432i
\(892\) −29.8155 + 12.4131i −0.998298 + 0.415621i
\(893\) −7.51789 + 28.0571i −0.251577 + 0.938897i
\(894\) 16.8477 + 3.33540i 0.563470 + 0.111553i
\(895\) −0.0875979 + 0.0150397i −0.00292808 + 0.000502722i
\(896\) 12.2975 27.2905i 0.410830 0.911712i
\(897\) 18.4197 + 18.4197i 0.615015 + 0.615015i
\(898\) 41.5251 27.8004i 1.38571 0.927712i
\(899\) −19.5881 + 11.3092i −0.653300 + 0.377183i
\(900\) −37.6351 1.91462i −1.25450 0.0638205i
\(901\) −0.340410 0.196536i −0.0113407 0.00654757i
\(902\) 8.05392 16.3690i 0.268166 0.545027i
\(903\) −22.9272 28.1807i −0.762971 0.937796i
\(904\) −3.82989 + 5.76556i −0.127380 + 0.191760i
\(905\) 17.3905 47.1192i 0.578081 1.56630i
\(906\) −5.10944 4.47271i −0.169750 0.148596i
\(907\) −7.82991 + 29.2216i −0.259988 + 0.970289i 0.705259 + 0.708950i \(0.250831\pi\)
−0.965247 + 0.261339i \(0.915836\pi\)
\(908\) 9.26443 + 7.08231i 0.307451 + 0.235035i
\(909\) 46.6093 1.54593
\(910\) 33.1503 + 13.6129i 1.09892 + 0.451263i
\(911\) 13.6579i 0.452506i 0.974069 + 0.226253i \(0.0726476\pi\)
−0.974069 + 0.226253i \(0.927352\pi\)
\(912\) 0.283004 + 78.3895i 0.00937121 + 2.59574i
\(913\) −13.1121 3.51338i −0.433948 0.116276i
\(914\) 34.0629 + 29.8180i 1.12670 + 0.986293i
\(915\) 3.33801 + 7.24331i 0.110351 + 0.239457i
\(916\) −11.5889 15.0466i −0.382907 0.497154i
\(917\) −35.4138 13.5012i −1.16947 0.445849i
\(918\) 10.7174 + 5.27319i 0.353725 + 0.174041i
\(919\) −19.7817 + 34.2630i −0.652540 + 1.13023i 0.329965 + 0.943993i \(0.392963\pi\)
−0.982505 + 0.186238i \(0.940370\pi\)
\(920\) −14.6995 + 1.58320i −0.484630 + 0.0521964i
\(921\) −28.3894 49.1720i −0.935464 1.62027i
\(922\) −38.5400 + 25.8020i −1.26925 + 0.849743i
\(923\) −4.45890 + 4.45890i −0.146767 + 0.146767i
\(924\) 0.560954 + 18.5245i 0.0184540 + 0.609413i
\(925\) −19.9684 + 41.8350i −0.656556 + 1.37553i
\(926\) 4.09733 20.6963i 0.134647 0.680122i
\(927\) 20.3787 + 5.46046i 0.669324 + 0.179345i
\(928\) −3.68104 + 18.9524i −0.120836 + 0.622144i
\(929\) −0.204383 0.118001i −0.00670560 0.00387148i 0.496643 0.867955i \(-0.334566\pi\)
−0.503349 + 0.864083i \(0.667899\pi\)
\(930\) 26.0524 + 47.8952i 0.854293 + 1.57054i
\(931\) −51.6272 10.7271i −1.69201 0.351566i
\(932\) 0.941122 + 0.122173i 0.0308275 + 0.00400192i
\(933\) −38.5676 + 10.3342i −1.26265 + 0.338325i
\(934\) 41.4856 + 36.3157i 1.35745 + 1.18829i
\(935\) −12.6651 1.16552i −0.414194 0.0381164i
\(936\) −20.3029 40.8907i −0.663621 1.33656i
\(937\) 15.1895 + 15.1895i 0.496220 + 0.496220i 0.910259 0.414039i \(-0.135882\pi\)
−0.414039 + 0.910259i \(0.635882\pi\)
\(938\) 15.2063 + 28.6800i 0.496503 + 0.936435i
\(939\) 15.5049i 0.505982i
\(940\) 15.2747 + 8.00393i 0.498207 + 0.261059i
\(941\) −10.9201 + 6.30470i −0.355984 + 0.205527i −0.667317 0.744773i \(-0.732558\pi\)
0.311334 + 0.950301i \(0.399224\pi\)
\(942\) −0.782997 11.7833i −0.0255114 0.383919i
\(943\) 21.6361 5.79738i 0.704569 0.188789i
\(944\) −2.96521 0.783063i −0.0965094 0.0254865i
\(945\) −9.81913 + 6.59151i −0.319416 + 0.214422i
\(946\) −3.23860 9.51239i −0.105296 0.309274i
\(947\) −49.3508 + 13.2235i −1.60369 + 0.429706i −0.946153 0.323719i \(-0.895067\pi\)
−0.657533 + 0.753426i \(0.728400\pi\)
\(948\) −6.03955 14.5067i −0.196156 0.471154i
\(949\) −2.02860 3.51363i −0.0658510 0.114057i
\(950\) 31.8431 42.6989i 1.03313 1.38534i
\(951\) 9.22743i 0.299220i
\(952\) 31.4698 3.05026i 1.01994 0.0988597i
\(953\) −0.903575 + 0.903575i −0.0292697 + 0.0292697i −0.721590 0.692320i \(-0.756588\pi\)
0.692320 + 0.721590i \(0.256588\pi\)
\(954\) −0.486365 0.0962878i −0.0157467 0.00311743i
\(955\) −33.6564 40.4787i −1.08910 1.30986i
\(956\) 11.8449 28.7427i 0.383091 0.929607i
\(957\) −3.09382 11.5463i −0.100009 0.373238i
\(958\) 8.33427 16.9387i 0.269268 0.547266i
\(959\) −7.79631 0.801400i −0.251756 0.0258785i
\(960\) 45.4451 + 10.0313i 1.46673 + 0.323760i
\(961\) 6.46003 11.1891i 0.208388 0.360939i
\(962\) −56.0368 + 3.72364i −1.80670 + 0.120055i
\(963\) 9.04054 + 2.42240i 0.291327 + 0.0780609i
\(964\) −40.9765 + 5.46993i −1.31976 + 0.176174i
\(965\) 8.38173 + 5.92535i 0.269818 + 0.190744i
\(966\) −16.6605 + 15.4996i −0.536041 + 0.498692i
\(967\) −7.22225 + 7.22225i −0.232252 + 0.232252i −0.813632 0.581380i \(-0.802513\pi\)
0.581380 + 0.813632i \(0.302513\pi\)
\(968\) 8.28643 24.6299i 0.266336 0.791636i
\(969\) −71.7071 + 41.4001i −2.30356 + 1.32996i
\(970\) −25.5248 + 41.7243i −0.819550 + 1.33969i
\(971\) −10.5245 + 18.2290i −0.337747 + 0.584996i −0.984009 0.178121i \(-0.942998\pi\)
0.646261 + 0.763116i \(0.276332\pi\)
\(972\) −43.3929 5.63311i −1.39183 0.180682i
\(973\) 59.2098 9.51679i 1.89818 0.305094i
\(974\) −1.05828 3.10836i −0.0339093 0.0995982i
\(975\) −10.1687 + 54.7813i −0.325658 + 1.75441i
\(976\) −1.43845 5.29187i −0.0460436 0.169389i
\(977\) 2.50118 9.33452i 0.0800197 0.298638i −0.914305 0.405027i \(-0.867262\pi\)
0.994325 + 0.106389i \(0.0339289\pi\)
\(978\) −38.9539 + 26.0791i −1.24561 + 0.833916i
\(979\) 6.05069i 0.193381i
\(980\) −12.9284 + 28.5106i −0.412982 + 0.910739i
\(981\) 8.74943i 0.279348i
\(982\) 26.0713 + 38.9423i 0.831968 + 1.24270i
\(983\) 4.19873 15.6699i 0.133919 0.499792i −0.866081 0.499903i \(-0.833369\pi\)
1.00000 0.000111531i \(3.55014e-5\pi\)
\(984\) −70.3703 4.42099i −2.24332 0.140936i
\(985\) −45.5354 + 20.9845i −1.45088 + 0.668622i
\(986\) −19.3046 + 6.57247i −0.614784 + 0.209310i
\(987\) 26.2056 4.21203i 0.834133 0.134070i
\(988\) 63.9935 + 8.30741i 2.03590 + 0.264294i
\(989\) 6.16898 10.6850i 0.196162 0.339763i
\(990\) −15.5967 + 3.75705i −0.495694 + 0.119407i
\(991\) 21.4275 12.3712i 0.680666 0.392983i −0.119440 0.992841i \(-0.538110\pi\)
0.800106 + 0.599859i \(0.204777\pi\)
\(992\) −12.2106 35.4449i −0.387687 1.12538i
\(993\) −6.57377 + 6.57377i −0.208612 + 0.208612i
\(994\) −3.75204 4.03304i −0.119007 0.127920i
\(995\) 1.28926 + 7.50924i 0.0408724 + 0.238059i
\(996\) 6.94205 + 52.0045i 0.219967 + 1.64783i
\(997\) 10.6155 + 2.84441i 0.336195 + 0.0900833i 0.422967 0.906145i \(-0.360988\pi\)
−0.0867720 + 0.996228i \(0.527655\pi\)
\(998\) 3.23150 + 48.6305i 0.102291 + 1.53937i
\(999\) 9.26673 16.0504i 0.293186 0.507814i
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 280.2.br.a.107.14 yes 176
5.3 odd 4 inner 280.2.br.a.163.9 yes 176
7.4 even 3 inner 280.2.br.a.67.43 yes 176
8.3 odd 2 inner 280.2.br.a.107.21 yes 176
35.18 odd 12 inner 280.2.br.a.123.21 yes 176
40.3 even 4 inner 280.2.br.a.163.43 yes 176
56.11 odd 6 inner 280.2.br.a.67.9 176
280.123 even 12 inner 280.2.br.a.123.14 yes 176
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
280.2.br.a.67.9 176 56.11 odd 6 inner
280.2.br.a.67.43 yes 176 7.4 even 3 inner
280.2.br.a.107.14 yes 176 1.1 even 1 trivial
280.2.br.a.107.21 yes 176 8.3 odd 2 inner
280.2.br.a.123.14 yes 176 280.123 even 12 inner
280.2.br.a.123.21 yes 176 35.18 odd 12 inner
280.2.br.a.163.9 yes 176 5.3 odd 4 inner
280.2.br.a.163.43 yes 176 40.3 even 4 inner