Properties

Label 98.2.e.a.29.3
Level $98$
Weight $2$
Character 98.29
Analytic conductor $0.783$
Analytic rank $0$
Dimension $18$
CM no
Inner twists $2$

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Show commands: Magma / PariGP / SageMath

Newspace parameters

comment: Compute space of new eigenforms
 
[N,k,chi] = [98,2,Mod(15,98)]
 
mf = mfinit([N,k,chi],0)
 
lf = mfeigenbasis(mf)
 
from sage.modular.dirichlet import DirichletCharacter
 
H = DirichletGroup(98, base_ring=CyclotomicField(14))
 
chi = DirichletCharacter(H, H._module([10]))
 
N = Newforms(chi, 2, names="a")
 
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
 
chi := DirichletCharacter("98.15");
 
S:= CuspForms(chi, 2);
 
N := Newforms(S);
 
Level: \( N \) \(=\) \( 98 = 2 \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 98.e (of order \(7\), degree \(6\), 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: \(0.782533939809\)
Analytic rank: \(0\)
Dimension: \(18\)
Relative dimension: \(3\) over \(\Q(\zeta_{7})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{18} - \cdots)\)
comment: defining polynomial
 
gp: f.mod \\ as an extension of the character field
 
Defining polynomial: \( x^{18} - 6 x^{17} + 15 x^{16} - 23 x^{15} + 72 x^{14} - 85 x^{13} + 432 x^{12} - 282 x^{11} + 1786 x^{10} - 1092 x^{9} + 7272 x^{8} - 10168 x^{7} + 25378 x^{6} - 43359 x^{5} + \cdots + 729 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, a_2, a_3]\)
Coefficient ring index: \( 7 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{7}]$

Embedding invariants

Embedding label 29.3
Root \(0.432251 + 1.89382i\) of defining polynomial
Character \(\chi\) \(=\) 98.29
Dual form 98.2.e.a.71.3

$q$-expansion

comment: q-expansion
 
sage: f.q_expansion() # note that sage often uses an isomorphic number field
 
gp: mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(-0.900969 - 0.433884i) q^{2} +(0.209730 + 0.918888i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.482195 + 2.11264i) q^{5} +(0.209730 - 0.918888i) q^{6} +(-2.20649 + 1.45993i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(1.90254 - 0.916214i) q^{9} +O(q^{10})\) \(q+(-0.900969 - 0.433884i) q^{2} +(0.209730 + 0.918888i) q^{3} +(0.623490 + 0.781831i) q^{4} +(0.482195 + 2.11264i) q^{5} +(0.209730 - 0.918888i) q^{6} +(-2.20649 + 1.45993i) q^{7} +(-0.222521 - 0.974928i) q^{8} +(1.90254 - 0.916214i) q^{9} +(0.482195 - 2.11264i) q^{10} +(5.45267 + 2.62587i) q^{11} +(-0.587651 + 0.736891i) q^{12} +(-3.44948 - 1.66118i) q^{13} +(2.62142 - 0.357994i) q^{14} +(-1.84015 + 0.886167i) q^{15} +(-0.222521 + 0.974928i) q^{16} +(3.15071 - 3.95086i) q^{17} -2.11166 q^{18} -5.58902 q^{19} +(-1.35108 + 1.69420i) q^{20} +(-1.80428 - 1.72133i) q^{21} +(-3.77336 - 4.73165i) q^{22} +(-4.48931 - 5.62941i) q^{23} +(0.849181 - 0.408944i) q^{24} +(0.274126 - 0.132012i) q^{25} +(2.38712 + 2.99335i) q^{26} +(3.00387 + 3.76674i) q^{27} +(-2.51715 - 0.814850i) q^{28} +(-0.0477725 + 0.0599048i) q^{29} +2.04241 q^{30} +0.373710 q^{31} +(0.623490 - 0.781831i) q^{32} +(-1.26929 + 5.56112i) q^{33} +(-4.55290 + 2.19256i) q^{34} +(-4.14827 - 3.95754i) q^{35} +(1.90254 + 0.916214i) q^{36} +(3.74078 - 4.69079i) q^{37} +(5.03553 + 2.42499i) q^{38} +(0.802981 - 3.51809i) q^{39} +(1.95237 - 0.940211i) q^{40} +(-0.332469 - 1.45664i) q^{41} +(0.878747 + 2.33371i) q^{42} +(-0.193538 + 0.847945i) q^{43} +(1.34670 + 5.90027i) q^{44} +(2.85302 + 3.57758i) q^{45} +(1.60222 + 7.01976i) q^{46} +(4.68600 + 2.25666i) q^{47} -0.942519 q^{48} +(2.73719 - 6.44265i) q^{49} -0.304257 q^{50} +(4.29120 + 2.06653i) q^{51} +(-0.851952 - 3.73265i) q^{52} +(2.99910 + 3.76076i) q^{53} +(-1.07207 - 4.69704i) q^{54} +(-2.91825 + 12.7857i) q^{55} +(1.91432 + 1.82630i) q^{56} +(-1.17219 - 5.13569i) q^{57} +(0.0690333 - 0.0332447i) q^{58} +(-1.30568 + 5.72055i) q^{59} +(-1.84015 - 0.886167i) q^{60} +(4.78657 - 6.00217i) q^{61} +(-0.336701 - 0.162147i) q^{62} +(-2.86032 + 4.79919i) q^{63} +(-0.900969 + 0.433884i) q^{64} +(1.84615 - 8.08852i) q^{65} +(3.55647 - 4.45967i) q^{66} -2.86020 q^{67} +5.05334 q^{68} +(4.23126 - 5.30583i) q^{69} +(2.02035 + 5.36548i) q^{70} +(-2.88060 - 3.61215i) q^{71} +(-1.31660 - 1.65096i) q^{72} +(-12.0456 + 5.80084i) q^{73} +(-5.40559 + 2.60319i) q^{74} +(0.178797 + 0.224204i) q^{75} +(-3.48470 - 4.36967i) q^{76} +(-15.8648 + 2.16658i) q^{77} +(-2.24990 + 2.82129i) q^{78} -7.06624 q^{79} -2.16697 q^{80} +(1.11858 - 1.40266i) q^{81} +(-0.332469 + 1.45664i) q^{82} +(8.70119 - 4.19027i) q^{83} +(0.220835 - 2.48387i) q^{84} +(9.86599 + 4.75121i) q^{85} +(0.542281 - 0.679999i) q^{86} +(-0.0650652 - 0.0313338i) q^{87} +(1.34670 - 5.90027i) q^{88} +(-10.7741 + 5.18855i) q^{89} +(-1.01823 - 4.46116i) q^{90} +(10.0365 - 1.37063i) q^{91} +(1.60222 - 7.01976i) q^{92} +(0.0783783 + 0.343398i) q^{93} +(-3.24281 - 4.06636i) q^{94} +(-2.69500 - 11.8076i) q^{95} +(0.849181 + 0.408944i) q^{96} -0.452631 q^{97} +(-5.26149 + 4.61701i) q^{98} +12.7798 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 18 q - 3 q^{2} + 3 q^{3} - 3 q^{4} - 6 q^{5} + 3 q^{6} - 7 q^{7} - 3 q^{8} + 10 q^{9} - 6 q^{10} - q^{11} - 4 q^{12} - 7 q^{14} - 9 q^{15} - 3 q^{16} - 11 q^{17} + 24 q^{18} + 36 q^{19} + q^{20} - 21 q^{21} - q^{22} + 5 q^{23} - 4 q^{24} - 23 q^{25} - 7 q^{26} - 12 q^{27} - 13 q^{29} - 16 q^{30} - 4 q^{31} - 3 q^{32} - 34 q^{33} - 11 q^{34} - 7 q^{35} + 10 q^{36} + 33 q^{37} + 15 q^{38} + 21 q^{39} + q^{40} - 28 q^{41} + 35 q^{42} - 20 q^{43} + 6 q^{44} + 20 q^{45} + 5 q^{46} + 36 q^{47} + 10 q^{48} + 49 q^{49} + 26 q^{50} - 20 q^{51} + 48 q^{53} + 2 q^{54} + 47 q^{55} + 7 q^{56} - 37 q^{57} + 36 q^{58} - 25 q^{59} - 9 q^{60} + q^{61} - 11 q^{62} - 35 q^{63} - 3 q^{64} - 56 q^{65} - 27 q^{66} + 34 q^{67} + 38 q^{68} + 23 q^{69} - 14 q^{70} - 6 q^{71} - 11 q^{72} - 39 q^{73} - 23 q^{74} - 47 q^{75} - 20 q^{76} - 28 q^{77} - 14 q^{78} - 2 q^{79} + 8 q^{80} - 34 q^{81} - 28 q^{82} + 35 q^{83} - 7 q^{84} + 33 q^{85} + 36 q^{86} + 48 q^{87} + 6 q^{88} - 6 q^{89} - 57 q^{90} - 35 q^{91} + 5 q^{92} + 36 q^{93} - 13 q^{94} - 17 q^{95} - 4 q^{96} + 56 q^{97} + 28 q^{98} + 106 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/98\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{3}{7}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.900969 0.433884i −0.637081 0.306802i
\(3\) 0.209730 + 0.918888i 0.121088 + 0.530520i 0.998692 + 0.0511341i \(0.0162836\pi\)
−0.877604 + 0.479386i \(0.840859\pi\)
\(4\) 0.623490 + 0.781831i 0.311745 + 0.390916i
\(5\) 0.482195 + 2.11264i 0.215644 + 0.944800i 0.960654 + 0.277746i \(0.0895875\pi\)
−0.745010 + 0.667053i \(0.767555\pi\)
\(6\) 0.209730 0.918888i 0.0856220 0.375135i
\(7\) −2.20649 + 1.45993i −0.833975 + 0.551803i
\(8\) −0.222521 0.974928i −0.0786730 0.344689i
\(9\) 1.90254 0.916214i 0.634179 0.305405i
\(10\) 0.482195 2.11264i 0.152484 0.668074i
\(11\) 5.45267 + 2.62587i 1.64404 + 0.791729i 0.999634 + 0.0270459i \(0.00861004\pi\)
0.644407 + 0.764683i \(0.277104\pi\)
\(12\) −0.587651 + 0.736891i −0.169640 + 0.212722i
\(13\) −3.44948 1.66118i −0.956715 0.460730i −0.110679 0.993856i \(-0.535303\pi\)
−0.846035 + 0.533127i \(0.821017\pi\)
\(14\) 2.62142 0.357994i 0.700604 0.0956779i
\(15\) −1.84015 + 0.886167i −0.475124 + 0.228807i
\(16\) −0.222521 + 0.974928i −0.0556302 + 0.243732i
\(17\) 3.15071 3.95086i 0.764158 0.958224i −0.235749 0.971814i \(-0.575754\pi\)
0.999908 + 0.0135895i \(0.00432581\pi\)
\(18\) −2.11166 −0.497722
\(19\) −5.58902 −1.28221 −0.641105 0.767453i \(-0.721524\pi\)
−0.641105 + 0.767453i \(0.721524\pi\)
\(20\) −1.35108 + 1.69420i −0.302111 + 0.378835i
\(21\) −1.80428 1.72133i −0.393727 0.375624i
\(22\) −3.77336 4.73165i −0.804484 1.00879i
\(23\) −4.48931 5.62941i −0.936085 1.17381i −0.984570 0.174990i \(-0.944011\pi\)
0.0484849 0.998824i \(-0.484561\pi\)
\(24\) 0.849181 0.408944i 0.173338 0.0834753i
\(25\) 0.274126 0.132012i 0.0548252 0.0264024i
\(26\) 2.38712 + 2.99335i 0.468152 + 0.587044i
\(27\) 3.00387 + 3.76674i 0.578095 + 0.724909i
\(28\) −2.51715 0.814850i −0.475696 0.153992i
\(29\) −0.0477725 + 0.0599048i −0.00887113 + 0.0111240i −0.786247 0.617912i \(-0.787979\pi\)
0.777376 + 0.629036i \(0.216550\pi\)
\(30\) 2.04241 0.372891
\(31\) 0.373710 0.0671203 0.0335601 0.999437i \(-0.489315\pi\)
0.0335601 + 0.999437i \(0.489315\pi\)
\(32\) 0.623490 0.781831i 0.110218 0.138210i
\(33\) −1.26929 + 5.56112i −0.220955 + 0.968066i
\(34\) −4.55290 + 2.19256i −0.780816 + 0.376021i
\(35\) −4.14827 3.95754i −0.701185 0.668946i
\(36\) 1.90254 + 0.916214i 0.317090 + 0.152702i
\(37\) 3.74078 4.69079i 0.614981 0.771162i −0.372648 0.927973i \(-0.621550\pi\)
0.987629 + 0.156811i \(0.0501214\pi\)
\(38\) 5.03553 + 2.42499i 0.816871 + 0.393385i
\(39\) 0.802981 3.51809i 0.128580 0.563345i
\(40\) 1.95237 0.940211i 0.308697 0.148660i
\(41\) −0.332469 1.45664i −0.0519229 0.227489i 0.942308 0.334746i \(-0.108650\pi\)
−0.994231 + 0.107257i \(0.965793\pi\)
\(42\) 0.878747 + 2.33371i 0.135594 + 0.360099i
\(43\) −0.193538 + 0.847945i −0.0295143 + 0.129310i −0.987539 0.157376i \(-0.949697\pi\)
0.958025 + 0.286686i \(0.0925537\pi\)
\(44\) 1.34670 + 5.90027i 0.203022 + 0.889499i
\(45\) 2.85302 + 3.57758i 0.425303 + 0.533313i
\(46\) 1.60222 + 7.01976i 0.236234 + 1.03501i
\(47\) 4.68600 + 2.25666i 0.683523 + 0.329167i 0.743218 0.669049i \(-0.233298\pi\)
−0.0596949 + 0.998217i \(0.519013\pi\)
\(48\) −0.942519 −0.136041
\(49\) 2.73719 6.44265i 0.391028 0.920379i
\(50\) −0.304257 −0.0430284
\(51\) 4.29120 + 2.06653i 0.600888 + 0.289372i
\(52\) −0.851952 3.73265i −0.118145 0.517625i
\(53\) 2.99910 + 3.76076i 0.411959 + 0.516580i 0.943913 0.330193i \(-0.107114\pi\)
−0.531955 + 0.846773i \(0.678542\pi\)
\(54\) −1.07207 4.69704i −0.145890 0.639187i
\(55\) −2.91825 + 12.7857i −0.393497 + 1.72402i
\(56\) 1.91432 + 1.82630i 0.255812 + 0.244050i
\(57\) −1.17219 5.13569i −0.155260 0.680238i
\(58\) 0.0690333 0.0332447i 0.00906451 0.00436524i
\(59\) −1.30568 + 5.72055i −0.169985 + 0.744753i 0.816018 + 0.578026i \(0.196177\pi\)
−0.986003 + 0.166727i \(0.946680\pi\)
\(60\) −1.84015 0.886167i −0.237562 0.114404i
\(61\) 4.78657 6.00217i 0.612858 0.768499i −0.374462 0.927242i \(-0.622173\pi\)
0.987320 + 0.158743i \(0.0507441\pi\)
\(62\) −0.336701 0.162147i −0.0427611 0.0205926i
\(63\) −2.86032 + 4.79919i −0.360366 + 0.604641i
\(64\) −0.900969 + 0.433884i −0.112621 + 0.0542355i
\(65\) 1.84615 8.08852i 0.228987 1.00326i
\(66\) 3.55647 4.45967i 0.437771 0.548947i
\(67\) −2.86020 −0.349429 −0.174715 0.984619i \(-0.555900\pi\)
−0.174715 + 0.984619i \(0.555900\pi\)
\(68\) 5.05334 0.612808
\(69\) 4.23126 5.30583i 0.509384 0.638747i
\(70\) 2.02035 + 5.36548i 0.241478 + 0.641298i
\(71\) −2.88060 3.61215i −0.341864 0.428684i 0.580944 0.813943i \(-0.302683\pi\)
−0.922808 + 0.385260i \(0.874112\pi\)
\(72\) −1.31660 1.65096i −0.155162 0.194568i
\(73\) −12.0456 + 5.80084i −1.40983 + 0.678937i −0.975129 0.221639i \(-0.928859\pi\)
−0.434698 + 0.900576i \(0.643145\pi\)
\(74\) −5.40559 + 2.60319i −0.628387 + 0.302615i
\(75\) 0.178797 + 0.224204i 0.0206457 + 0.0258889i
\(76\) −3.48470 4.36967i −0.399722 0.501236i
\(77\) −15.8648 + 2.16658i −1.80797 + 0.246905i
\(78\) −2.24990 + 2.82129i −0.254751 + 0.319448i
\(79\) −7.06624 −0.795014 −0.397507 0.917599i \(-0.630125\pi\)
−0.397507 + 0.917599i \(0.630125\pi\)
\(80\) −2.16697 −0.242274
\(81\) 1.11858 1.40266i 0.124287 0.155851i
\(82\) −0.332469 + 1.45664i −0.0367150 + 0.160859i
\(83\) 8.70119 4.19027i 0.955079 0.459942i 0.109615 0.993974i \(-0.465038\pi\)
0.845464 + 0.534032i \(0.179324\pi\)
\(84\) 0.220835 2.48387i 0.0240950 0.271013i
\(85\) 9.86599 + 4.75121i 1.07012 + 0.515341i
\(86\) 0.542281 0.679999i 0.0584757 0.0733262i
\(87\) −0.0650652 0.0313338i −0.00697572 0.00335933i
\(88\) 1.34670 5.90027i 0.143558 0.628971i
\(89\) −10.7741 + 5.18855i −1.14206 + 0.549985i −0.906638 0.421909i \(-0.861360\pi\)
−0.235418 + 0.971894i \(0.575646\pi\)
\(90\) −1.01823 4.46116i −0.107331 0.470248i
\(91\) 10.0365 1.37063i 1.05211 0.143681i
\(92\) 1.60222 7.01976i 0.167042 0.731861i
\(93\) 0.0783783 + 0.343398i 0.00812745 + 0.0356087i
\(94\) −3.24281 4.06636i −0.334470 0.419413i
\(95\) −2.69500 11.8076i −0.276501 1.21143i
\(96\) 0.849181 + 0.408944i 0.0866691 + 0.0417377i
\(97\) −0.452631 −0.0459578 −0.0229789 0.999736i \(-0.507315\pi\)
−0.0229789 + 0.999736i \(0.507315\pi\)
\(98\) −5.26149 + 4.61701i −0.531491 + 0.466388i
\(99\) 12.7798 1.28441
\(100\) 0.274126 + 0.132012i 0.0274126 + 0.0132012i
\(101\) 2.30813 + 10.1126i 0.229668 + 1.00624i 0.949912 + 0.312519i \(0.101173\pi\)
−0.720244 + 0.693721i \(0.755970\pi\)
\(102\) −2.96960 3.72376i −0.294034 0.368707i
\(103\) −1.40916 6.17394i −0.138849 0.608336i −0.995689 0.0927543i \(-0.970433\pi\)
0.856840 0.515582i \(-0.172424\pi\)
\(104\) −0.851952 + 3.73265i −0.0835408 + 0.366016i
\(105\) 2.76652 4.64181i 0.269984 0.452994i
\(106\) −1.07037 4.68959i −0.103963 0.455493i
\(107\) −6.79006 + 3.26992i −0.656420 + 0.316115i −0.732280 0.681003i \(-0.761544\pi\)
0.0758605 + 0.997118i \(0.475830\pi\)
\(108\) −1.07207 + 4.69704i −0.103160 + 0.451973i
\(109\) −4.49447 2.16442i −0.430492 0.207314i 0.206074 0.978536i \(-0.433931\pi\)
−0.636566 + 0.771222i \(0.719646\pi\)
\(110\) 8.17675 10.2533i 0.779623 0.977616i
\(111\) 5.09487 + 2.45356i 0.483584 + 0.232882i
\(112\) −0.932339 2.47603i −0.0880977 0.233963i
\(113\) −8.59243 + 4.13790i −0.808308 + 0.389261i −0.791935 0.610605i \(-0.790926\pi\)
−0.0163729 + 0.999866i \(0.505212\pi\)
\(114\) −1.17219 + 5.13569i −0.109785 + 0.481001i
\(115\) 9.72818 12.1987i 0.907157 1.13754i
\(116\) −0.0766212 −0.00711410
\(117\) −8.08477 −0.747437
\(118\) 3.65843 4.58753i 0.336786 0.422316i
\(119\) −1.18401 + 13.3174i −0.108538 + 1.22080i
\(120\) 1.27342 + 1.59682i 0.116247 + 0.145769i
\(121\) 15.9780 + 20.0358i 1.45255 + 1.82144i
\(122\) −6.91680 + 3.33095i −0.626217 + 0.301570i
\(123\) 1.26876 0.611003i 0.114400 0.0550923i
\(124\) 0.233004 + 0.292178i 0.0209244 + 0.0262384i
\(125\) 7.16648 + 8.98649i 0.640990 + 0.803776i
\(126\) 4.65935 3.08288i 0.415088 0.274645i
\(127\) −10.1010 + 12.6662i −0.896319 + 1.12395i 0.0953900 + 0.995440i \(0.469590\pi\)
−0.991708 + 0.128508i \(0.958981\pi\)
\(128\) 1.00000 0.0883883
\(129\) −0.819757 −0.0721756
\(130\) −5.17280 + 6.48649i −0.453685 + 0.568903i
\(131\) 1.94884 8.53844i 0.170271 0.746007i −0.815616 0.578594i \(-0.803602\pi\)
0.985887 0.167413i \(-0.0535413\pi\)
\(132\) −5.13925 + 2.47493i −0.447314 + 0.215415i
\(133\) 12.3321 8.15959i 1.06933 0.707527i
\(134\) 2.57695 + 1.24099i 0.222615 + 0.107206i
\(135\) −6.50929 + 8.16239i −0.560230 + 0.702507i
\(136\) −4.55290 2.19256i −0.390408 0.188011i
\(137\) 0.593175 2.59887i 0.0506783 0.222036i −0.943247 0.332092i \(-0.892246\pi\)
0.993925 + 0.110055i \(0.0351028\pi\)
\(138\) −6.11435 + 2.94451i −0.520488 + 0.250654i
\(139\) −3.53434 15.4850i −0.299779 1.31342i −0.870458 0.492243i \(-0.836177\pi\)
0.570679 0.821173i \(-0.306680\pi\)
\(140\) 0.507726 5.71073i 0.0429107 0.482645i
\(141\) −1.09082 + 4.77920i −0.0918637 + 0.402481i
\(142\) 1.02807 + 4.50428i 0.0862739 + 0.377991i
\(143\) −14.4468 18.1158i −1.20811 1.51492i
\(144\) 0.469888 + 2.05871i 0.0391573 + 0.171559i
\(145\) −0.149593 0.0720401i −0.0124230 0.00598260i
\(146\) 13.3696 1.10647
\(147\) 6.49415 + 1.16396i 0.535629 + 0.0960015i
\(148\) 5.99975 0.493177
\(149\) −5.10300 2.45748i −0.418054 0.201324i 0.213018 0.977048i \(-0.431671\pi\)
−0.631072 + 0.775724i \(0.717385\pi\)
\(150\) −0.0638119 0.279578i −0.00521022 0.0228275i
\(151\) 4.96688 + 6.22827i 0.404199 + 0.506849i 0.941718 0.336402i \(-0.109210\pi\)
−0.537520 + 0.843251i \(0.680639\pi\)
\(152\) 1.24367 + 5.44889i 0.100875 + 0.441964i
\(153\) 2.37450 10.4034i 0.191967 0.841063i
\(154\) 15.2338 + 4.93148i 1.22757 + 0.397390i
\(155\) 0.180201 + 0.789513i 0.0144741 + 0.0634152i
\(156\) 3.25121 1.56570i 0.260305 0.125356i
\(157\) −3.43475 + 15.0486i −0.274123 + 1.20101i 0.630973 + 0.775805i \(0.282656\pi\)
−0.905096 + 0.425207i \(0.860201\pi\)
\(158\) 6.36646 + 3.06593i 0.506488 + 0.243912i
\(159\) −2.82671 + 3.54459i −0.224173 + 0.281104i
\(160\) 1.95237 + 0.940211i 0.154348 + 0.0743302i
\(161\) 18.1242 + 5.86716i 1.42839 + 0.462397i
\(162\) −1.61640 + 0.778417i −0.126996 + 0.0611582i
\(163\) −1.28441 + 5.62736i −0.100603 + 0.440769i 0.899391 + 0.437145i \(0.144010\pi\)
−0.999993 + 0.00362335i \(0.998847\pi\)
\(164\) 0.931557 1.16813i 0.0727423 0.0912160i
\(165\) −12.3607 −0.962276
\(166\) −9.65759 −0.749574
\(167\) 4.56777 5.72780i 0.353465 0.443231i −0.573032 0.819533i \(-0.694233\pi\)
0.926497 + 0.376302i \(0.122805\pi\)
\(168\) −1.27668 + 2.14208i −0.0984978 + 0.165265i
\(169\) 1.03404 + 1.29665i 0.0795415 + 0.0997419i
\(170\) −6.82747 8.56138i −0.523643 0.656628i
\(171\) −10.6333 + 5.12074i −0.813150 + 0.391593i
\(172\) −0.783619 + 0.377371i −0.0597504 + 0.0287743i
\(173\) −6.95191 8.71742i −0.528544 0.662773i 0.443855 0.896099i \(-0.353611\pi\)
−0.972399 + 0.233326i \(0.925039\pi\)
\(174\) 0.0450265 + 0.0564615i 0.00341345 + 0.00428033i
\(175\) −0.412127 + 0.691489i −0.0311539 + 0.0522717i
\(176\) −3.77336 + 4.73165i −0.284428 + 0.356661i
\(177\) −5.53039 −0.415690
\(178\) 11.9584 0.896319
\(179\) 10.6671 13.3761i 0.797298 0.999780i −0.202492 0.979284i \(-0.564904\pi\)
0.999790 0.0204957i \(-0.00652443\pi\)
\(180\) −1.01823 + 4.46116i −0.0758945 + 0.332515i
\(181\) −11.3492 + 5.46551i −0.843583 + 0.406248i −0.805192 0.593015i \(-0.797938\pi\)
−0.0383910 + 0.999263i \(0.512223\pi\)
\(182\) −9.63724 3.11977i −0.714360 0.231252i
\(183\) 6.51922 + 3.13949i 0.481914 + 0.232078i
\(184\) −4.48931 + 5.62941i −0.330956 + 0.415006i
\(185\) 11.7137 + 5.64104i 0.861211 + 0.414737i
\(186\) 0.0783783 0.343398i 0.00574698 0.0251791i
\(187\) 27.5542 13.2694i 2.01496 0.970354i
\(188\) 1.15735 + 5.07066i 0.0844081 + 0.369816i
\(189\) −12.1272 3.92581i −0.882123 0.285561i
\(190\) −2.69500 + 11.8076i −0.195516 + 0.856611i
\(191\) −3.47917 15.2432i −0.251744 1.10296i −0.929833 0.367983i \(-0.880049\pi\)
0.678089 0.734980i \(-0.262809\pi\)
\(192\) −0.587651 0.736891i −0.0424101 0.0531805i
\(193\) 2.27228 + 9.95551i 0.163562 + 0.716614i 0.988479 + 0.151359i \(0.0483649\pi\)
−0.824916 + 0.565255i \(0.808778\pi\)
\(194\) 0.407807 + 0.196389i 0.0292788 + 0.0140999i
\(195\) 7.81964 0.559976
\(196\) 6.74368 1.87690i 0.481691 0.134065i
\(197\) 17.2440 1.22859 0.614294 0.789077i \(-0.289441\pi\)
0.614294 + 0.789077i \(0.289441\pi\)
\(198\) −11.5142 5.54493i −0.818276 0.394061i
\(199\) −3.82042 16.7384i −0.270822 1.18655i −0.909045 0.416698i \(-0.863187\pi\)
0.638222 0.769852i \(-0.279670\pi\)
\(200\) −0.189701 0.237878i −0.0134139 0.0168205i
\(201\) −0.599871 2.62820i −0.0423116 0.185379i
\(202\) 2.30813 10.1126i 0.162400 0.711519i
\(203\) 0.0179525 0.201924i 0.00126002 0.0141723i
\(204\) 1.05984 + 4.64346i 0.0742035 + 0.325107i
\(205\) 2.91704 1.40477i 0.203735 0.0981134i
\(206\) −1.40916 + 6.17394i −0.0981809 + 0.430159i
\(207\) −13.6988 6.59700i −0.952134 0.458524i
\(208\) 2.38712 2.99335i 0.165517 0.207551i
\(209\) −30.4751 14.6760i −2.10801 1.01516i
\(210\) −4.50655 + 2.98178i −0.310982 + 0.205762i
\(211\) −7.64938 + 3.68375i −0.526605 + 0.253600i −0.678245 0.734836i \(-0.737259\pi\)
0.151639 + 0.988436i \(0.451545\pi\)
\(212\) −1.07037 + 4.68959i −0.0735132 + 0.322082i
\(213\) 2.71502 3.40452i 0.186030 0.233274i
\(214\) 7.53640 0.515177
\(215\) −1.88472 −0.128537
\(216\) 3.00387 3.76674i 0.204388 0.256294i
\(217\) −0.824587 + 0.545591i −0.0559766 + 0.0370372i
\(218\) 3.11027 + 3.90016i 0.210654 + 0.264152i
\(219\) −7.85664 9.85192i −0.530903 0.665731i
\(220\) −11.8157 + 5.69016i −0.796618 + 0.383631i
\(221\) −17.4314 + 8.39453i −1.17256 + 0.564677i
\(222\) −3.52576 4.42116i −0.236634 0.296729i
\(223\) 7.77000 + 9.74327i 0.520317 + 0.652457i 0.970676 0.240390i \(-0.0772754\pi\)
−0.450359 + 0.892848i \(0.648704\pi\)
\(224\) −0.234303 + 2.63536i −0.0156550 + 0.176082i
\(225\) 0.400584 0.502316i 0.0267056 0.0334877i
\(226\) 9.53688 0.634384
\(227\) −2.07834 −0.137944 −0.0689720 0.997619i \(-0.521972\pi\)
−0.0689720 + 0.997619i \(0.521972\pi\)
\(228\) 3.28439 4.11850i 0.217514 0.272754i
\(229\) 0.186869 0.818727i 0.0123487 0.0541030i −0.968378 0.249487i \(-0.919738\pi\)
0.980727 + 0.195384i \(0.0625952\pi\)
\(230\) −14.0576 + 6.76980i −0.926932 + 0.446387i
\(231\) −5.31818 14.1236i −0.349911 0.929266i
\(232\) 0.0690333 + 0.0332447i 0.00453226 + 0.00218262i
\(233\) −8.18694 + 10.2661i −0.536344 + 0.672554i −0.973989 0.226593i \(-0.927241\pi\)
0.437645 + 0.899148i \(0.355813\pi\)
\(234\) 7.28413 + 3.50785i 0.476178 + 0.229315i
\(235\) −2.50793 + 10.9880i −0.163599 + 0.716775i
\(236\) −5.28659 + 2.54589i −0.344128 + 0.165723i
\(237\) −1.48200 6.49308i −0.0962665 0.421771i
\(238\) 6.84494 11.4848i 0.443691 0.744449i
\(239\) −2.16998 + 9.50730i −0.140364 + 0.614976i 0.854986 + 0.518651i \(0.173566\pi\)
−0.995350 + 0.0963244i \(0.969291\pi\)
\(240\) −0.454478 1.99120i −0.0293365 0.128531i
\(241\) −12.9253 16.2079i −0.832594 1.04404i −0.998324 0.0578692i \(-0.981569\pi\)
0.165730 0.986171i \(-0.447002\pi\)
\(242\) −5.70249 24.9842i −0.366570 1.60605i
\(243\) 14.5456 + 7.00482i 0.933104 + 0.449359i
\(244\) 7.67707 0.491474
\(245\) 14.9308 + 2.67608i 0.953896 + 0.170968i
\(246\) −1.40822 −0.0897847
\(247\) 19.2792 + 9.28439i 1.22671 + 0.590752i
\(248\) −0.0831583 0.364340i −0.00528056 0.0231356i
\(249\) 5.67529 + 7.11659i 0.359657 + 0.450996i
\(250\) −2.55769 11.2060i −0.161762 0.708727i
\(251\) −1.36299 + 5.97165i −0.0860312 + 0.376927i −0.999554 0.0298600i \(-0.990494\pi\)
0.913523 + 0.406787i \(0.133351\pi\)
\(252\) −5.53554 + 0.755960i −0.348706 + 0.0476210i
\(253\) −9.69661 42.4836i −0.609621 2.67092i
\(254\) 14.5964 7.02924i 0.915857 0.441054i
\(255\) −2.29663 + 10.0622i −0.143821 + 0.630120i
\(256\) −0.900969 0.433884i −0.0563106 0.0271177i
\(257\) −15.1342 + 18.9777i −0.944046 + 1.18380i 0.0387777 + 0.999248i \(0.487654\pi\)
−0.982823 + 0.184548i \(0.940918\pi\)
\(258\) 0.738576 + 0.355679i 0.0459817 + 0.0221436i
\(259\) −1.40576 + 15.8115i −0.0873495 + 0.982478i
\(260\) 7.47492 3.59973i 0.463575 0.223246i
\(261\) −0.0360034 + 0.157741i −0.00222855 + 0.00976393i
\(262\) −5.46054 + 6.84730i −0.337353 + 0.423028i
\(263\) 9.85589 0.607740 0.303870 0.952714i \(-0.401721\pi\)
0.303870 + 0.952714i \(0.401721\pi\)
\(264\) 5.70413 0.351065
\(265\) −6.49896 + 8.14943i −0.399228 + 0.500616i
\(266\) −14.6512 + 2.00083i −0.898321 + 0.122679i
\(267\) −7.02736 8.81204i −0.430068 0.539288i
\(268\) −1.78331 2.23619i −0.108933 0.136597i
\(269\) 25.6599 12.3572i 1.56451 0.753429i 0.566985 0.823728i \(-0.308110\pi\)
0.997526 + 0.0702989i \(0.0223953\pi\)
\(270\) 9.40619 4.52978i 0.572443 0.275674i
\(271\) 0.175579 + 0.220169i 0.0106656 + 0.0133743i 0.787136 0.616780i \(-0.211563\pi\)
−0.776470 + 0.630154i \(0.782992\pi\)
\(272\) 3.15071 + 3.95086i 0.191040 + 0.239556i
\(273\) 3.36441 + 8.93493i 0.203623 + 0.540767i
\(274\) −1.66204 + 2.08413i −0.100407 + 0.125907i
\(275\) 1.84136 0.111038
\(276\) 6.78641 0.408494
\(277\) −10.4385 + 13.0895i −0.627191 + 0.786473i −0.989336 0.145649i \(-0.953473\pi\)
0.362145 + 0.932122i \(0.382044\pi\)
\(278\) −3.53434 + 15.4850i −0.211976 + 0.928726i
\(279\) 0.710997 0.342398i 0.0425663 0.0204988i
\(280\) −2.93524 + 4.92489i −0.175414 + 0.294319i
\(281\) 15.1215 + 7.28215i 0.902076 + 0.434417i 0.826638 0.562734i \(-0.190250\pi\)
0.0754376 + 0.997151i \(0.475965\pi\)
\(282\) 3.05641 3.83262i 0.182007 0.228229i
\(283\) 16.1859 + 7.79471i 0.962151 + 0.463347i 0.847930 0.530108i \(-0.177849\pi\)
0.114221 + 0.993455i \(0.463563\pi\)
\(284\) 1.02807 4.50428i 0.0610049 0.267280i
\(285\) 10.2846 4.95281i 0.609208 0.293379i
\(286\) 5.15602 + 22.5900i 0.304882 + 1.33577i
\(287\) 2.86019 + 2.72868i 0.168831 + 0.161069i
\(288\) 0.469888 2.05871i 0.0276884 0.121311i
\(289\) −1.89949 8.32223i −0.111735 0.489543i
\(290\) 0.103521 + 0.129812i 0.00607899 + 0.00762281i
\(291\) −0.0949305 0.415918i −0.00556493 0.0243815i
\(292\) −12.0456 5.80084i −0.704913 0.339468i
\(293\) 6.81672 0.398237 0.199118 0.979975i \(-0.436192\pi\)
0.199118 + 0.979975i \(0.436192\pi\)
\(294\) −5.34601 3.86639i −0.311785 0.225493i
\(295\) −12.7150 −0.740298
\(296\) −5.40559 2.60319i −0.314194 0.151308i
\(297\) 6.48817 + 28.4265i 0.376482 + 1.64947i
\(298\) 3.53139 + 4.42822i 0.204568 + 0.256520i
\(299\) 6.13430 + 26.8761i 0.354756 + 1.55429i
\(300\) −0.0638119 + 0.279578i −0.00368418 + 0.0161415i
\(301\) −0.810903 2.15353i −0.0467397 0.124128i
\(302\) −1.77266 7.76652i −0.102005 0.446913i
\(303\) −8.80825 + 4.24183i −0.506021 + 0.243687i
\(304\) 1.24367 5.44889i 0.0713296 0.312515i
\(305\) 14.9885 + 7.21807i 0.858237 + 0.413305i
\(306\) −6.65321 + 8.34286i −0.380339 + 0.476930i
\(307\) 9.38949 + 4.52174i 0.535886 + 0.258069i 0.682196 0.731170i \(-0.261025\pi\)
−0.146309 + 0.989239i \(0.546739\pi\)
\(308\) −11.5855 11.0528i −0.660143 0.629791i
\(309\) 5.37762 2.58972i 0.305922 0.147324i
\(310\) 0.180201 0.789513i 0.0102347 0.0448413i
\(311\) 7.66133 9.60701i 0.434434 0.544764i −0.515632 0.856810i \(-0.672443\pi\)
0.950067 + 0.312046i \(0.101014\pi\)
\(312\) −3.60857 −0.204295
\(313\) 10.5746 0.597714 0.298857 0.954298i \(-0.403395\pi\)
0.298857 + 0.954298i \(0.403395\pi\)
\(314\) 9.62396 12.0681i 0.543112 0.681040i
\(315\) −11.5182 3.72866i −0.648976 0.210086i
\(316\) −4.40573 5.52461i −0.247842 0.310783i
\(317\) 14.2864 + 17.9146i 0.802406 + 1.00619i 0.999666 + 0.0258346i \(0.00822433\pi\)
−0.197260 + 0.980351i \(0.563204\pi\)
\(318\) 4.08472 1.96710i 0.229060 0.110309i
\(319\) −0.417790 + 0.201197i −0.0233917 + 0.0112649i
\(320\) −1.35108 1.69420i −0.0755277 0.0947088i
\(321\) −4.42877 5.55351i −0.247190 0.309966i
\(322\) −13.7837 13.1499i −0.768133 0.732816i
\(323\) −17.6094 + 22.0814i −0.979811 + 1.22864i
\(324\) 1.79407 0.0996705
\(325\) −1.16489 −0.0646165
\(326\) 3.59883 4.51279i 0.199321 0.249940i
\(327\) 1.04624 4.58386i 0.0578570 0.253488i
\(328\) −1.34614 + 0.648266i −0.0743280 + 0.0357945i
\(329\) −13.6342 + 1.86195i −0.751676 + 0.102653i
\(330\) 11.1366 + 5.36309i 0.613048 + 0.295228i
\(331\) 6.58529 8.25769i 0.361960 0.453883i −0.567190 0.823587i \(-0.691969\pi\)
0.929150 + 0.369704i \(0.120541\pi\)
\(332\) 8.70119 + 4.19027i 0.477540 + 0.229971i
\(333\) 2.81921 12.3518i 0.154492 0.676873i
\(334\) −6.60062 + 3.17869i −0.361170 + 0.173930i
\(335\) −1.37918 6.04256i −0.0753524 0.330140i
\(336\) 2.07966 1.37601i 0.113455 0.0750678i
\(337\) 7.68989 33.6916i 0.418895 1.83530i −0.119800 0.992798i \(-0.538225\pi\)
0.538695 0.842501i \(-0.318917\pi\)
\(338\) −0.369045 1.61689i −0.0200734 0.0879472i
\(339\) −5.60436 7.02764i −0.304387 0.381689i
\(340\) 2.43670 + 10.6759i 0.132148 + 0.578980i
\(341\) 2.03772 + 0.981312i 0.110349 + 0.0531411i
\(342\) 11.8021 0.638184
\(343\) 3.36625 + 18.2118i 0.181760 + 0.983343i
\(344\) 0.869751 0.0468939
\(345\) 13.2496 + 6.38066i 0.713334 + 0.343523i
\(346\) 2.48111 + 10.8704i 0.133385 + 0.584399i
\(347\) −9.95355 12.4814i −0.534335 0.670035i 0.439249 0.898365i \(-0.355245\pi\)
−0.973584 + 0.228331i \(0.926673\pi\)
\(348\) −0.0160698 0.0704063i −0.000861431 0.00377417i
\(349\) −8.21246 + 35.9811i −0.439603 + 1.92603i −0.0678451 + 0.997696i \(0.521612\pi\)
−0.371758 + 0.928330i \(0.621245\pi\)
\(350\) 0.671340 0.444195i 0.0358846 0.0237432i
\(351\) −4.10457 17.9833i −0.219086 0.959876i
\(352\) 5.45267 2.62587i 0.290628 0.139959i
\(353\) 4.16847 18.2633i 0.221865 0.972056i −0.734207 0.678926i \(-0.762446\pi\)
0.956073 0.293130i \(-0.0946969\pi\)
\(354\) 4.98271 + 2.39955i 0.264828 + 0.127534i
\(355\) 6.24215 7.82741i 0.331299 0.415436i
\(356\) −10.7741 5.18855i −0.571028 0.274993i
\(357\) −12.4855 + 1.70508i −0.660802 + 0.0902423i
\(358\) −15.4144 + 7.42320i −0.814678 + 0.392328i
\(359\) 5.13049 22.4781i 0.270777 1.18635i −0.638322 0.769770i \(-0.720371\pi\)
0.909098 0.416581i \(-0.136772\pi\)
\(360\) 2.85302 3.57758i 0.150367 0.188555i
\(361\) 12.2372 0.644061
\(362\) 12.5967 0.662068
\(363\) −15.0596 + 18.8841i −0.790424 + 0.991160i
\(364\) 7.32924 + 6.99225i 0.384156 + 0.366494i
\(365\) −18.0634 22.6508i −0.945480 1.18559i
\(366\) −4.51144 5.65716i −0.235817 0.295705i
\(367\) −14.5398 + 7.00198i −0.758969 + 0.365500i −0.773004 0.634401i \(-0.781247\pi\)
0.0140347 + 0.999902i \(0.495532\pi\)
\(368\) 6.48724 3.12409i 0.338171 0.162854i
\(369\) −1.96713 2.46670i −0.102405 0.128411i
\(370\) −8.10615 10.1648i −0.421419 0.528442i
\(371\) −12.1079 3.91958i −0.628613 0.203495i
\(372\) −0.219611 + 0.275384i −0.0113863 + 0.0142780i
\(373\) 10.9198 0.565404 0.282702 0.959208i \(-0.408769\pi\)
0.282702 + 0.959208i \(0.408769\pi\)
\(374\) −30.5828 −1.58140
\(375\) −6.75455 + 8.46994i −0.348803 + 0.437386i
\(376\) 1.15735 5.07066i 0.0596856 0.261500i
\(377\) 0.264303 0.127282i 0.0136123 0.00655535i
\(378\) 9.22288 + 8.79883i 0.474374 + 0.452563i
\(379\) −28.9083 13.9215i −1.48492 0.715100i −0.496670 0.867940i \(-0.665444\pi\)
−0.988251 + 0.152839i \(0.951158\pi\)
\(380\) 7.55122 9.46893i 0.387370 0.485746i
\(381\) −13.7574 6.62519i −0.704811 0.339419i
\(382\) −3.47917 + 15.2432i −0.178010 + 0.779912i
\(383\) −3.89403 + 1.87527i −0.198976 + 0.0958217i −0.530718 0.847548i \(-0.678078\pi\)
0.331742 + 0.943370i \(0.392363\pi\)
\(384\) 0.209730 + 0.918888i 0.0107028 + 0.0468918i
\(385\) −12.2271 32.4719i −0.623153 1.65492i
\(386\) 2.27228 9.95551i 0.115656 0.506722i
\(387\) 0.408686 + 1.79057i 0.0207747 + 0.0910197i
\(388\) −0.282211 0.353882i −0.0143271 0.0179656i
\(389\) 5.59116 + 24.4965i 0.283483 + 1.24202i 0.893294 + 0.449473i \(0.148388\pi\)
−0.609811 + 0.792547i \(0.708754\pi\)
\(390\) −7.04525 3.39281i −0.356750 0.171802i
\(391\) −36.3855 −1.84009
\(392\) −6.89020 1.23494i −0.348008 0.0623740i
\(393\) 8.25461 0.416390
\(394\) −15.5364 7.48191i −0.782710 0.376933i
\(395\) −3.40731 14.9284i −0.171440 0.751129i
\(396\) 7.96805 + 9.99162i 0.400410 + 0.502098i
\(397\) −1.86229 8.15921i −0.0934655 0.409499i 0.906452 0.422308i \(-0.138780\pi\)
−0.999918 + 0.0128088i \(0.995923\pi\)
\(398\) −3.82042 + 16.7384i −0.191500 + 0.839018i
\(399\) 10.0842 + 9.62053i 0.504840 + 0.481629i
\(400\) 0.0677035 + 0.296629i 0.00338518 + 0.0148314i
\(401\) −19.9560 + 9.61030i −0.996555 + 0.479916i −0.859768 0.510685i \(-0.829392\pi\)
−0.136787 + 0.990600i \(0.543678\pi\)
\(402\) −0.599871 + 2.62820i −0.0299188 + 0.131083i
\(403\) −1.28911 0.620801i −0.0642150 0.0309243i
\(404\) −6.46724 + 8.10966i −0.321757 + 0.403471i
\(405\) 3.50268 + 1.68680i 0.174050 + 0.0838180i
\(406\) −0.103786 + 0.174138i −0.00515082 + 0.00864232i
\(407\) 32.7147 15.7545i 1.62161 0.780924i
\(408\) 1.05984 4.64346i 0.0524698 0.229885i
\(409\) 14.9084 18.6946i 0.737174 0.924387i −0.261998 0.965068i \(-0.584381\pi\)
0.999172 + 0.0406814i \(0.0129529\pi\)
\(410\) −3.23767 −0.159897
\(411\) 2.51248 0.123931
\(412\) 3.94838 4.95111i 0.194523 0.243924i
\(413\) −5.47066 14.5285i −0.269193 0.714903i
\(414\) 9.47988 + 11.8874i 0.465911 + 0.584233i
\(415\) 13.0482 + 16.3619i 0.640510 + 0.803175i
\(416\) −3.44948 + 1.66118i −0.169125 + 0.0814462i
\(417\) 13.4877 6.49533i 0.660495 0.318078i
\(418\) 21.0894 + 26.4453i 1.03152 + 1.29348i
\(419\) 4.77143 + 5.98318i 0.233099 + 0.292298i 0.884600 0.466351i \(-0.154432\pi\)
−0.651500 + 0.758648i \(0.725860\pi\)
\(420\) 5.35401 0.731169i 0.261249 0.0356774i
\(421\) −11.2066 + 14.0526i −0.546175 + 0.684882i −0.975935 0.218061i \(-0.930027\pi\)
0.429760 + 0.902943i \(0.358598\pi\)
\(422\) 8.49017 0.413295
\(423\) 10.9829 0.534005
\(424\) 2.99910 3.76076i 0.145649 0.182638i
\(425\) 0.342129 1.49897i 0.0165957 0.0727105i
\(426\) −3.92331 + 1.88937i −0.190085 + 0.0915402i
\(427\) −1.79876 + 20.2318i −0.0870479 + 0.979086i
\(428\) −6.79006 3.26992i −0.328210 0.158058i
\(429\) 13.6164 17.0745i 0.657407 0.824363i
\(430\) 1.69808 + 0.817750i 0.0818885 + 0.0394354i
\(431\) −3.06468 + 13.4272i −0.147620 + 0.646767i 0.845922 + 0.533306i \(0.179051\pi\)
−0.993543 + 0.113460i \(0.963806\pi\)
\(432\) −4.34072 + 2.09038i −0.208843 + 0.100573i
\(433\) −8.79667 38.5407i −0.422741 1.85215i −0.516118 0.856518i \(-0.672623\pi\)
0.0933769 0.995631i \(-0.470234\pi\)
\(434\) 0.979651 0.133786i 0.0470247 0.00642193i
\(435\) 0.0348227 0.152568i 0.00166962 0.00731508i
\(436\) −1.11004 4.86342i −0.0531614 0.232915i
\(437\) 25.0908 + 31.4629i 1.20026 + 1.50508i
\(438\) 2.80400 + 12.2851i 0.133980 + 0.587007i
\(439\) −13.3953 6.45084i −0.639324 0.307882i 0.0859948 0.996296i \(-0.472593\pi\)
−0.725318 + 0.688414i \(0.758307\pi\)
\(440\) 13.1145 0.625209
\(441\) −0.695233 14.7652i −0.0331063 0.703107i
\(442\) 19.3474 0.920263
\(443\) −10.4599 5.03722i −0.496964 0.239325i 0.168574 0.985689i \(-0.446084\pi\)
−0.665538 + 0.746364i \(0.731798\pi\)
\(444\) 1.25833 + 5.51310i 0.0597177 + 0.261640i
\(445\) −16.1568 20.2599i −0.765904 0.960413i
\(446\) −2.77308 12.1497i −0.131309 0.575303i
\(447\) 1.18789 5.20450i 0.0561854 0.246164i
\(448\) 1.35454 2.27271i 0.0639959 0.107376i
\(449\) 7.95258 + 34.8425i 0.375305 + 1.64432i 0.711616 + 0.702569i \(0.247964\pi\)
−0.336310 + 0.941751i \(0.609179\pi\)
\(450\) −0.578860 + 0.278764i −0.0272877 + 0.0131411i
\(451\) 2.01210 8.81560i 0.0947462 0.415110i
\(452\) −8.59243 4.13790i −0.404154 0.194630i
\(453\) −4.68138 + 5.87026i −0.219950 + 0.275809i
\(454\) 1.87252 + 0.901756i 0.0878815 + 0.0423215i
\(455\) 7.73518 + 20.5425i 0.362631 + 0.963047i
\(456\) −4.74609 + 2.28560i −0.222256 + 0.107033i
\(457\) 4.52940 19.8446i 0.211876 0.928290i −0.751415 0.659830i \(-0.770628\pi\)
0.963291 0.268460i \(-0.0865147\pi\)
\(458\) −0.523595 + 0.656568i −0.0244660 + 0.0306794i
\(459\) 24.3462 1.13638
\(460\) 15.6028 0.727484
\(461\) 12.5485 15.7353i 0.584441 0.732865i −0.398423 0.917202i \(-0.630442\pi\)
0.982863 + 0.184337i \(0.0590137\pi\)
\(462\) −1.33649 + 15.0324i −0.0621793 + 0.699371i
\(463\) 12.3633 + 15.5031i 0.574571 + 0.720490i 0.981176 0.193114i \(-0.0618589\pi\)
−0.406605 + 0.913604i \(0.633287\pi\)
\(464\) −0.0477725 0.0599048i −0.00221778 0.00278101i
\(465\) −0.687681 + 0.331170i −0.0318904 + 0.0153576i
\(466\) 11.8305 5.69725i 0.548036 0.263920i
\(467\) 0.198985 + 0.249519i 0.00920791 + 0.0115464i 0.786414 0.617700i \(-0.211935\pi\)
−0.777206 + 0.629246i \(0.783364\pi\)
\(468\) −5.04077 6.32093i −0.233010 0.292185i
\(469\) 6.31100 4.17570i 0.291415 0.192816i
\(470\) 7.02706 8.81166i 0.324134 0.406452i
\(471\) −14.5484 −0.670354
\(472\) 5.86767 0.270081
\(473\) −3.28189 + 4.11536i −0.150901 + 0.189224i
\(474\) −1.48200 + 6.49308i −0.0680707 + 0.298237i
\(475\) −1.53210 + 0.737819i −0.0702974 + 0.0338534i
\(476\) −11.1501 + 7.37754i −0.511066 + 0.338149i
\(477\) 9.15156 + 4.40716i 0.419021 + 0.201790i
\(478\) 6.08014 7.62426i 0.278099 0.348726i
\(479\) 31.8099 + 15.3189i 1.45343 + 0.699937i 0.983188 0.182599i \(-0.0584509\pi\)
0.470246 + 0.882535i \(0.344165\pi\)
\(480\) −0.454478 + 1.99120i −0.0207440 + 0.0908854i
\(481\) −20.6960 + 9.96669i −0.943659 + 0.454442i
\(482\) 4.61300 + 20.2109i 0.210116 + 0.920580i
\(483\) −1.59007 + 17.8846i −0.0723509 + 0.813778i
\(484\) −5.70249 + 24.9842i −0.259204 + 1.13565i
\(485\) −0.218257 0.956245i −0.00991053 0.0434209i
\(486\) −10.0659 12.6222i −0.456599 0.572556i
\(487\) −4.14032 18.1399i −0.187616 0.821998i −0.977869 0.209218i \(-0.932908\pi\)
0.790253 0.612780i \(-0.209949\pi\)
\(488\) −6.91680 3.33095i −0.313109 0.150785i
\(489\) −5.44029 −0.246019
\(490\) −12.2911 8.88931i −0.555256 0.401578i
\(491\) −15.4070 −0.695309 −0.347654 0.937623i \(-0.613022\pi\)
−0.347654 + 0.937623i \(0.613022\pi\)
\(492\) 1.26876 + 0.611003i 0.0572002 + 0.0275462i
\(493\) 0.0861585 + 0.377485i 0.00388038 + 0.0170011i
\(494\) −13.3416 16.7299i −0.600269 0.752714i
\(495\) 6.16234 + 26.9990i 0.276977 + 1.21351i
\(496\) −0.0831583 + 0.364340i −0.00373392 + 0.0163594i
\(497\) 11.6295 + 3.76470i 0.521655 + 0.168870i
\(498\) −2.02549 8.87425i −0.0907643 0.397664i
\(499\) −36.5378 + 17.5957i −1.63566 + 0.787690i −0.635781 + 0.771870i \(0.719322\pi\)
−0.999875 + 0.0158207i \(0.994964\pi\)
\(500\) −2.55769 + 11.2060i −0.114383 + 0.501146i
\(501\) 6.22121 + 2.99598i 0.277943 + 0.133850i
\(502\) 3.81901 4.78889i 0.170451 0.213739i
\(503\) −6.36833 3.06682i −0.283950 0.136743i 0.286488 0.958084i \(-0.407512\pi\)
−0.570438 + 0.821341i \(0.693226\pi\)
\(504\) 5.31535 + 1.72068i 0.236764 + 0.0766454i
\(505\) −20.2512 + 9.75248i −0.901168 + 0.433980i
\(506\) −9.69661 + 42.4836i −0.431067 + 1.88863i
\(507\) −0.974603 + 1.22211i −0.0432836 + 0.0542760i
\(508\) −16.2007 −0.718792
\(509\) −3.66137 −0.162288 −0.0811438 0.996702i \(-0.525857\pi\)
−0.0811438 + 0.996702i \(0.525857\pi\)
\(510\) 6.43503 8.06927i 0.284948 0.357313i
\(511\) 18.1096 30.3852i 0.801121 1.34416i
\(512\) 0.623490 + 0.781831i 0.0275546 + 0.0345524i
\(513\) −16.7887 21.0524i −0.741239 0.929485i
\(514\) 21.8696 10.5318i 0.964625 0.464539i
\(515\) 12.3638 5.95409i 0.544814 0.262369i
\(516\) −0.511110 0.640912i −0.0225004 0.0282146i
\(517\) 19.6255 + 24.6096i 0.863129 + 1.08233i
\(518\) 8.12689 13.6357i 0.357075 0.599119i
\(519\) 6.55231 8.21633i 0.287614 0.360657i
\(520\) −8.29653 −0.363827
\(521\) −5.61877 −0.246163 −0.123081 0.992397i \(-0.539278\pi\)
−0.123081 + 0.992397i \(0.539278\pi\)
\(522\) 0.100879 0.126498i 0.00441536 0.00553669i
\(523\) 0.537068 2.35305i 0.0234844 0.102892i −0.961827 0.273657i \(-0.911767\pi\)
0.985312 + 0.170765i \(0.0546239\pi\)
\(524\) 7.89071 3.79996i 0.344707 0.166002i
\(525\) −0.721837 0.233673i −0.0315035 0.0101983i
\(526\) −8.87985 4.27631i −0.387180 0.186456i
\(527\) 1.17745 1.47648i 0.0512905 0.0643163i
\(528\) −5.13925 2.47493i −0.223657 0.107708i
\(529\) −6.41843 + 28.1210i −0.279062 + 1.22265i
\(530\) 9.39126 4.52259i 0.407930 0.196449i
\(531\) 2.75715 + 12.0799i 0.119650 + 0.524221i
\(532\) 14.0684 + 4.55421i 0.609941 + 0.197450i
\(533\) −1.27290 + 5.57695i −0.0551355 + 0.241564i
\(534\) 2.50804 + 10.9884i 0.108533 + 0.475516i
\(535\) −10.1823 12.7682i −0.440219 0.552017i
\(536\) 0.636454 + 2.78849i 0.0274906 + 0.120444i
\(537\) 14.5284 + 6.99651i 0.626947 + 0.301922i
\(538\) −28.4803 −1.22787
\(539\) 31.8426 27.9421i 1.37156 1.20355i
\(540\) −10.4401 −0.449270
\(541\) 11.8122 + 5.68846i 0.507847 + 0.244566i 0.670219 0.742164i \(-0.266200\pi\)
−0.162372 + 0.986730i \(0.551915\pi\)
\(542\) −0.0626633 0.274546i −0.00269162 0.0117928i
\(543\) −7.40247 9.28240i −0.317670 0.398346i
\(544\) −1.12447 4.92664i −0.0482114 0.211228i
\(545\) 2.40543 10.5389i 0.103037 0.451435i
\(546\) 0.845496 9.50986i 0.0361839 0.406984i
\(547\) 2.64214 + 11.5760i 0.112970 + 0.494952i 0.999480 + 0.0322436i \(0.0102652\pi\)
−0.886510 + 0.462709i \(0.846878\pi\)
\(548\) 2.40171 1.15660i 0.102596 0.0494077i
\(549\) 3.60736 15.8049i 0.153958 0.674536i
\(550\) −1.65901 0.798938i −0.0707405 0.0340668i
\(551\) 0.267002 0.334809i 0.0113747 0.0142634i
\(552\) −6.11435 2.94451i −0.260244 0.125327i
\(553\) 15.5916 10.3162i 0.663022 0.438691i
\(554\) 15.0841 7.26413i 0.640863 0.308623i
\(555\) −2.72676 + 11.9467i −0.115744 + 0.507109i
\(556\) 9.90300 12.4180i 0.419981 0.526639i
\(557\) −24.3638 −1.03233 −0.516164 0.856490i \(-0.672641\pi\)
−0.516164 + 0.856490i \(0.672641\pi\)
\(558\) −0.789147 −0.0334073
\(559\) 2.07620 2.60347i 0.0878138 0.110115i
\(560\) 4.78139 3.16362i 0.202051 0.133688i
\(561\) 17.9720 + 22.5362i 0.758780 + 0.951480i
\(562\) −10.4644 13.1220i −0.441416 0.553518i
\(563\) −23.4933 + 11.3138i −0.990125 + 0.476819i −0.857576 0.514357i \(-0.828031\pi\)
−0.132549 + 0.991176i \(0.542316\pi\)
\(564\) −4.41664 + 2.12694i −0.185974 + 0.0895605i
\(565\) −12.8851 16.1574i −0.542080 0.679747i
\(566\) −11.2010 14.0456i −0.470812 0.590380i
\(567\) −0.420355 + 4.72801i −0.0176532 + 0.198558i
\(568\) −2.88060 + 3.61215i −0.120867 + 0.151563i
\(569\) −1.05270 −0.0441316 −0.0220658 0.999757i \(-0.507024\pi\)
−0.0220658 + 0.999757i \(0.507024\pi\)
\(570\) −11.4151 −0.478124
\(571\) −0.626983 + 0.786212i −0.0262384 + 0.0329019i −0.794778 0.606901i \(-0.792413\pi\)
0.768539 + 0.639803i \(0.220984\pi\)
\(572\) 5.15602 22.5900i 0.215584 0.944535i
\(573\) 13.2772 6.39394i 0.554661 0.267111i
\(574\) −1.39301 3.69944i −0.0581430 0.154412i
\(575\) −1.97379 0.950526i −0.0823126 0.0396397i
\(576\) −1.31660 + 1.65096i −0.0548582 + 0.0687900i
\(577\) −22.1712 10.6771i −0.923001 0.444494i −0.0888594 0.996044i \(-0.528322\pi\)
−0.834142 + 0.551550i \(0.814036\pi\)
\(578\) −1.89949 + 8.32223i −0.0790085 + 0.346159i
\(579\) −8.67144 + 4.17595i −0.360373 + 0.173546i
\(580\) −0.0369464 0.161873i −0.00153411 0.00672139i
\(581\) −13.0816 + 21.9489i −0.542715 + 0.910595i
\(582\) −0.0949305 + 0.415918i −0.00393500 + 0.0172403i
\(583\) 6.47787 + 28.3814i 0.268286 + 1.17544i
\(584\) 8.33579 + 10.4528i 0.344937 + 0.432538i
\(585\) −3.89844 17.0802i −0.161181 0.706179i
\(586\) −6.14165 2.95766i −0.253709 0.122180i
\(587\) 21.7732 0.898677 0.449339 0.893362i \(-0.351660\pi\)
0.449339 + 0.893362i \(0.351660\pi\)
\(588\) 3.13902 + 5.80305i 0.129451 + 0.239314i
\(589\) −2.08867 −0.0860623
\(590\) 11.4559 + 5.51685i 0.471630 + 0.227125i
\(591\) 3.61660 + 15.8454i 0.148767 + 0.651791i
\(592\) 3.74078 + 4.69079i 0.153745 + 0.192790i
\(593\) −0.738868 3.23719i −0.0303417 0.132936i 0.957489 0.288471i \(-0.0931469\pi\)
−0.987830 + 0.155535i \(0.950290\pi\)
\(594\) 6.48817 28.4265i 0.266213 1.16635i
\(595\) −28.7056 + 3.92018i −1.17682 + 0.160712i
\(596\) −1.26034 5.52190i −0.0516254 0.226186i
\(597\) 14.5794 7.02108i 0.596696 0.287354i
\(598\) 6.13430 26.8761i 0.250850 1.09905i
\(599\) −9.24164 4.45054i −0.377603 0.181844i 0.235449 0.971887i \(-0.424344\pi\)
−0.613052 + 0.790043i \(0.710058\pi\)
\(600\) 0.178797 0.224204i 0.00729936 0.00915310i
\(601\) 31.7589 + 15.2943i 1.29547 + 0.623867i 0.949320 0.314311i \(-0.101774\pi\)
0.346153 + 0.938178i \(0.387488\pi\)
\(602\) −0.203785 + 2.29210i −0.00830566 + 0.0934192i
\(603\) −5.44164 + 2.62055i −0.221601 + 0.106717i
\(604\) −1.77266 + 7.76652i −0.0721284 + 0.316015i
\(605\) −34.6238 + 43.4169i −1.40766 + 1.76515i
\(606\) 9.77642 0.397140
\(607\) 29.4773 1.19645 0.598223 0.801330i \(-0.295874\pi\)
0.598223 + 0.801330i \(0.295874\pi\)
\(608\) −3.48470 + 4.36967i −0.141323 + 0.177214i
\(609\) 0.189311 0.0258532i 0.00767126 0.00104762i
\(610\) −10.3723 13.0065i −0.419964 0.526618i
\(611\) −12.4156 15.5686i −0.502279 0.629839i
\(612\) 9.61417 4.62994i 0.388630 0.187154i
\(613\) 10.8861 5.24246i 0.439684 0.211741i −0.200927 0.979606i \(-0.564395\pi\)
0.640611 + 0.767865i \(0.278681\pi\)
\(614\) −6.49773 8.14789i −0.262227 0.328822i
\(615\) 1.90262 + 2.38581i 0.0767210 + 0.0962051i
\(616\) 5.64252 + 14.9850i 0.227344 + 0.603762i
\(617\) 14.4154 18.0763i 0.580341 0.727725i −0.401830 0.915714i \(-0.631626\pi\)
0.982171 + 0.187990i \(0.0601972\pi\)
\(618\) −5.96870 −0.240097
\(619\) −25.6225 −1.02986 −0.514928 0.857233i \(-0.672181\pi\)
−0.514928 + 0.857233i \(0.672181\pi\)
\(620\) −0.504913 + 0.633140i −0.0202778 + 0.0254275i
\(621\) 7.71921 33.8201i 0.309761 1.35715i
\(622\) −11.0709 + 5.33149i −0.443905 + 0.213773i
\(623\) 16.1981 27.1780i 0.648963 1.08886i
\(624\) 3.25121 + 1.56570i 0.130152 + 0.0626781i
\(625\) −14.5810 + 18.2840i −0.583241 + 0.731361i
\(626\) −9.52742 4.58817i −0.380792 0.183380i
\(627\) 7.09408 31.0812i 0.283310 1.24126i
\(628\) −13.9070 + 6.69727i −0.554951 + 0.267250i
\(629\) −6.74656 29.5586i −0.269003 1.17858i
\(630\) 8.75971 + 8.35696i 0.348995 + 0.332949i
\(631\) −3.44291 + 15.0844i −0.137060 + 0.600499i 0.859012 + 0.511955i \(0.171079\pi\)
−0.996072 + 0.0885442i \(0.971779\pi\)
\(632\) 1.57239 + 6.88907i 0.0625462 + 0.274033i
\(633\) −4.98926 6.25633i −0.198305 0.248667i
\(634\) −5.09877 22.3392i −0.202498 0.887202i
\(635\) −31.6298 15.2321i −1.25519 0.604468i
\(636\) −4.53370 −0.179773
\(637\) −20.1443 + 17.6768i −0.798148 + 0.700382i
\(638\) 0.463712 0.0183585
\(639\) −8.78995 4.23301i −0.347725 0.167455i
\(640\) 0.482195 + 2.11264i 0.0190604 + 0.0835093i
\(641\) −8.36897 10.4944i −0.330554 0.414502i 0.588585 0.808436i \(-0.299685\pi\)
−0.919139 + 0.393934i \(0.871114\pi\)
\(642\) 1.58061 + 6.92511i 0.0623817 + 0.273312i
\(643\) 8.54565 37.4409i 0.337008 1.47653i −0.468247 0.883598i \(-0.655114\pi\)
0.805255 0.592929i \(-0.202029\pi\)
\(644\) 6.71311 + 17.8282i 0.264534 + 0.702528i
\(645\) −0.395283 1.73185i −0.0155643 0.0681915i
\(646\) 25.4463 12.2543i 1.00117 0.482138i
\(647\) −2.81078 + 12.3149i −0.110503 + 0.484147i 0.889145 + 0.457626i \(0.151300\pi\)
−0.999648 + 0.0265210i \(0.991557\pi\)
\(648\) −1.61640 0.778417i −0.0634982 0.0305791i
\(649\) −22.1408 + 27.7637i −0.869104 + 1.08982i
\(650\) 1.04953 + 0.505427i 0.0411659 + 0.0198245i
\(651\) −0.674278 0.643277i −0.0264271 0.0252120i
\(652\) −5.20046 + 2.50441i −0.203666 + 0.0980803i
\(653\) −3.30706 + 14.4892i −0.129415 + 0.567005i 0.868090 + 0.496407i \(0.165348\pi\)
−0.997505 + 0.0705974i \(0.977509\pi\)
\(654\) −2.93149 + 3.67597i −0.114630 + 0.143742i
\(655\) 18.9783 0.741545
\(656\) 1.49410 0.0583348
\(657\) −17.6023 + 22.0726i −0.686732 + 0.861135i
\(658\) 13.0918 + 4.23809i 0.510373 + 0.165218i
\(659\) 14.1868 + 17.7897i 0.552640 + 0.692988i 0.977178 0.212422i \(-0.0681350\pi\)
−0.424538 + 0.905410i \(0.639564\pi\)
\(660\) −7.70675 9.66395i −0.299985 0.376169i
\(661\) −11.6019 + 5.58719i −0.451262 + 0.217316i −0.645689 0.763601i \(-0.723430\pi\)
0.194427 + 0.980917i \(0.437715\pi\)
\(662\) −9.51601 + 4.58267i −0.369850 + 0.178111i
\(663\) −11.3695 14.2569i −0.441556 0.553694i
\(664\) −6.02141 7.55061i −0.233676 0.293020i
\(665\) 23.1847 + 22.1188i 0.899066 + 0.857729i
\(666\) −7.89925 + 9.90535i −0.306090 + 0.383825i
\(667\) 0.551695 0.0213617
\(668\) 7.32613 0.283457
\(669\) −7.32337 + 9.18322i −0.283138 + 0.355044i
\(670\) −1.37918 + 6.04256i −0.0532822 + 0.233445i
\(671\) 41.8605 20.1590i 1.61601 0.778228i
\(672\) −2.47074 + 0.337416i −0.0953108 + 0.0130161i
\(673\) 42.7869 + 20.6051i 1.64931 + 0.794268i 0.999413 + 0.0342481i \(0.0109037\pi\)
0.649900 + 0.760019i \(0.274811\pi\)
\(674\) −21.5466 + 27.0186i −0.829944 + 1.04072i
\(675\) 1.32069 + 0.636013i 0.0508335 + 0.0244801i
\(676\) −0.369045 + 1.61689i −0.0141940 + 0.0621881i
\(677\) 34.3026 16.5193i 1.31836 0.634887i 0.363401 0.931633i \(-0.381616\pi\)
0.954957 + 0.296746i \(0.0959013\pi\)
\(678\) 2.00017 + 8.76333i 0.0768161 + 0.336554i
\(679\) 0.998727 0.660811i 0.0383276 0.0253596i
\(680\) 2.43670 10.6759i 0.0934431 0.409401i
\(681\) −0.435890 1.90976i −0.0167033 0.0731821i
\(682\) −1.41014 1.76826i −0.0539972 0.0677103i
\(683\) 9.12650 + 39.9858i 0.349216 + 1.53001i 0.778966 + 0.627067i \(0.215745\pi\)
−0.429750 + 0.902948i \(0.641398\pi\)
\(684\) −10.6333 5.12074i −0.406575 0.195796i
\(685\) 5.77649 0.220708
\(686\) 4.86890 17.8688i 0.185896 0.682234i
\(687\) 0.791511 0.0301980
\(688\) −0.783619 0.377371i −0.0298752 0.0143871i
\(689\) −4.09805 17.9547i −0.156123 0.684021i
\(690\) −9.16900 11.4976i −0.349058 0.437705i
\(691\) −5.39136 23.6211i −0.205097 0.898588i −0.967776 0.251811i \(-0.918974\pi\)
0.762679 0.646777i \(-0.223883\pi\)
\(692\) 2.48111 10.8704i 0.0943175 0.413232i
\(693\) −28.1984 + 18.6576i −1.07117 + 0.708743i
\(694\) 3.55238 + 15.5640i 0.134847 + 0.590801i
\(695\) 31.0098 14.9335i 1.17627 0.566462i
\(696\) −0.0160698 + 0.0704063i −0.000609123 + 0.00266874i
\(697\) −6.80249 3.27591i −0.257663 0.124084i
\(698\) 23.0108 28.8546i 0.870971 1.09216i
\(699\) −11.1504 5.36977i −0.421749 0.203103i
\(700\) −0.797585 + 0.108922i −0.0301459 + 0.00411687i
\(701\) −15.2526 + 7.34527i −0.576083 + 0.277427i −0.699154 0.714971i \(-0.746440\pi\)
0.123071 + 0.992398i \(0.460726\pi\)
\(702\) −4.10457 + 17.9833i −0.154917 + 0.678735i
\(703\) −20.9073 + 26.2170i −0.788535 + 0.988791i
\(704\) −6.05200 −0.228094
\(705\) −10.6227 −0.400074
\(706\) −11.6798 + 14.6460i −0.439575 + 0.551210i
\(707\) −19.8566 18.9436i −0.746783 0.712447i
\(708\) −3.44814 4.32383i −0.129589 0.162500i
\(709\) 10.1263 + 12.6980i 0.380301 + 0.476882i 0.934735 0.355346i \(-0.115637\pi\)
−0.554434 + 0.832227i \(0.687065\pi\)
\(710\) −9.02017 + 4.34389i −0.338521 + 0.163023i
\(711\) −13.4438 + 6.47419i −0.504181 + 0.242801i
\(712\) 7.45594 + 9.34945i 0.279423 + 0.350385i
\(713\) −1.67770 2.10377i −0.0628303 0.0787867i
\(714\) 11.9888 + 3.88103i 0.448671 + 0.145244i
\(715\) 31.3058 39.2563i 1.17077 1.46810i
\(716\) 17.1087 0.639383
\(717\) −9.19125 −0.343254
\(718\) −14.3753 + 18.0261i −0.536482 + 0.672727i
\(719\) 2.56864 11.2539i 0.0957941 0.419701i −0.904178 0.427156i \(-0.859516\pi\)
0.999972 + 0.00745420i \(0.00237277\pi\)
\(720\) −4.12273 + 1.98540i −0.153645 + 0.0739917i
\(721\) 12.1228 + 11.5655i 0.451478 + 0.430720i
\(722\) −11.0253 5.30950i −0.410319 0.197599i
\(723\) 12.1824 15.2762i 0.453068 0.568129i
\(724\) −11.3492 5.46551i −0.421791 0.203124i
\(725\) −0.00518752 + 0.0227280i −0.000192660 + 0.000844098i
\(726\) 21.7618 10.4799i 0.807654 0.388946i
\(727\) 8.12129 + 35.5817i 0.301202 + 1.31965i 0.868315 + 0.496012i \(0.165203\pi\)
−0.567114 + 0.823640i \(0.691940\pi\)
\(728\) −3.56959 9.47984i −0.132298 0.351346i
\(729\) −2.18833 + 9.58769i −0.0810491 + 0.355100i
\(730\) 6.44674 + 28.2450i 0.238605 + 1.04540i
\(731\) 2.74033 + 3.43627i 0.101355 + 0.127095i
\(732\) 1.61011 + 7.05437i 0.0595115 + 0.260737i
\(733\) 7.46210 + 3.59356i 0.275619 + 0.132731i 0.566588 0.824002i \(-0.308263\pi\)
−0.290969 + 0.956733i \(0.593978\pi\)
\(734\) 16.1379 0.595661
\(735\) 0.672434 + 14.2810i 0.0248031 + 0.526764i
\(736\) −7.20029 −0.265406
\(737\) −15.5957 7.51050i −0.574476 0.276653i
\(738\) 0.702060 + 3.07593i 0.0258432 + 0.113226i
\(739\) 1.50634 + 1.88889i 0.0554116 + 0.0694839i 0.808765 0.588132i \(-0.200136\pi\)
−0.753353 + 0.657616i \(0.771565\pi\)
\(740\) 2.89305 + 12.6753i 0.106351 + 0.465953i
\(741\) −4.48788 + 19.6627i −0.164866 + 0.722327i
\(742\) 9.20824 + 8.78486i 0.338045 + 0.322502i
\(743\) 10.8949 + 47.7339i 0.399697 + 1.75119i 0.628593 + 0.777735i \(0.283631\pi\)
−0.228896 + 0.973451i \(0.573512\pi\)
\(744\) 0.317347 0.152826i 0.0116345 0.00560289i
\(745\) 2.73111 11.9658i 0.100060 0.438392i
\(746\) −9.83836 4.73791i −0.360208 0.173467i
\(747\) 12.7152 15.9443i 0.465223 0.583371i
\(748\) 27.5542 + 13.2694i 1.00748 + 0.485177i
\(749\) 10.2083 17.1281i 0.373004 0.625846i
\(750\) 9.76061 4.70046i 0.356407 0.171637i
\(751\) 10.9933 48.1647i 0.401151 1.75756i −0.221601 0.975137i \(-0.571128\pi\)
0.622752 0.782419i \(-0.286015\pi\)
\(752\) −3.24281 + 4.06636i −0.118253 + 0.148285i
\(753\) −5.77314 −0.210385
\(754\) −0.293355 −0.0106833
\(755\) −10.7631 + 13.4964i −0.391708 + 0.491186i
\(756\) −4.49186 11.9291i −0.163367 0.433858i
\(757\) −12.7822 16.0283i −0.464576 0.582560i 0.493258 0.869883i \(-0.335806\pi\)
−0.957834 + 0.287323i \(0.907235\pi\)
\(758\) 20.0052 + 25.0857i 0.726621 + 0.911154i
\(759\) 37.0041 17.8202i 1.34316 0.646833i
\(760\) −10.9118 + 5.25486i −0.395814 + 0.190614i
\(761\) 16.9411 + 21.2435i 0.614115 + 0.770076i 0.987503 0.157599i \(-0.0503754\pi\)
−0.373388 + 0.927675i \(0.621804\pi\)
\(762\) 9.52038 + 11.9382i 0.344887 + 0.432475i
\(763\) 13.0769 1.78585i 0.473416 0.0646520i
\(764\) 9.74842 12.2241i 0.352686 0.442254i
\(765\) 23.1235 0.836033
\(766\) 4.32205 0.156162
\(767\) 14.0068 17.5640i 0.505757 0.634199i
\(768\) 0.209730 0.918888i 0.00756799 0.0331575i
\(769\) 24.8197 11.9525i 0.895022 0.431020i 0.0709336 0.997481i \(-0.477402\pi\)
0.824088 + 0.566461i \(0.191688\pi\)
\(770\) −3.07276 + 34.5614i −0.110735 + 1.24550i
\(771\) −20.6125 9.92645i −0.742340 0.357492i
\(772\) −6.36679 + 7.98370i −0.229146 + 0.287340i
\(773\) −25.8634 12.4552i −0.930243 0.447982i −0.0935261 0.995617i \(-0.529814\pi\)
−0.836717 + 0.547635i \(0.815528\pi\)
\(774\) 0.408686 1.79057i 0.0146899 0.0643607i
\(775\) 0.102444 0.0493343i 0.00367988 0.00177214i
\(776\) 0.100720 + 0.441283i 0.00361564 + 0.0158411i
\(777\) −14.8238 + 2.02441i −0.531802 + 0.0726254i
\(778\) 5.59116 24.4965i 0.200453 0.878241i
\(779\) 1.85817 + 8.14119i 0.0665760 + 0.291689i
\(780\) 4.87547 + 6.11364i 0.174570 + 0.218903i
\(781\) −6.22190 27.2599i −0.222637 0.975437i
\(782\) 32.7822 + 15.7871i 1.17229 + 0.564545i
\(783\) −0.369148 −0.0131923
\(784\) 5.67204 + 4.10219i 0.202573 + 0.146507i
\(785\) −33.4485 −1.19383
\(786\) −7.43714 3.58154i −0.265274 0.127749i
\(787\) 4.18946 + 18.3552i 0.149338 + 0.654293i 0.993070 + 0.117527i \(0.0374968\pi\)
−0.843732 + 0.536765i \(0.819646\pi\)
\(788\) 10.7515 + 13.4819i 0.383006 + 0.480274i
\(789\) 2.06708 + 9.05646i 0.0735899 + 0.322418i
\(790\) −3.40731 + 14.9284i −0.121227 + 0.531128i
\(791\) 12.9181 21.6746i 0.459313 0.770660i
\(792\) −2.84376 12.4593i −0.101049 0.442724i
\(793\) −26.4819 + 12.7530i −0.940400 + 0.452873i
\(794\) −1.86229 + 8.15921i −0.0660901 + 0.289560i
\(795\) −8.85145 4.26263i −0.313928 0.151180i
\(796\) 10.7046 13.4231i 0.379414 0.475770i
\(797\) −5.79644 2.79142i −0.205320 0.0988771i 0.328398 0.944540i \(-0.393491\pi\)
−0.533718 + 0.845662i \(0.679206\pi\)
\(798\) −4.91134 13.0432i −0.173859 0.461723i
\(799\) 23.6799 11.4037i 0.837736 0.403432i
\(800\) 0.0677035 0.296629i 0.00239368 0.0104874i
\(801\) −15.7444 + 19.7428i −0.556300 + 0.697579i
\(802\) 22.1495 0.782126
\(803\) −80.9127 −2.85535
\(804\) 1.68080 2.10766i 0.0592772 0.0743313i
\(805\) −3.65577 + 41.1189i −0.128849 + 1.44925i
\(806\) 0.892089 + 1.11864i 0.0314225 + 0.0394026i
\(807\) 16.7365 + 20.9869i 0.589153 + 0.738774i
\(808\) 9.34543 4.50052i 0.328771 0.158328i
\(809\) 33.2696 16.0218i 1.16970 0.563296i 0.254804 0.966993i \(-0.417989\pi\)
0.914893 + 0.403697i \(0.132275\pi\)
\(810\) −2.42393 3.03952i −0.0851683 0.106798i
\(811\) −19.6076 24.5871i −0.688515 0.863370i 0.307593 0.951518i \(-0.400477\pi\)
−0.996107 + 0.0881480i \(0.971905\pi\)
\(812\) 0.169064 0.111862i 0.00593298 0.00392558i
\(813\) −0.165486 + 0.207513i −0.00580386 + 0.00727781i
\(814\) −36.3105 −1.27268
\(815\) −12.5079 −0.438133
\(816\) −2.96960 + 3.72376i −0.103957 + 0.130358i
\(817\) 1.08169 4.73918i 0.0378434 0.165803i
\(818\) −21.5433 + 10.3747i −0.753244 + 0.362743i
\(819\) 17.8390 11.8032i 0.623344 0.412438i
\(820\) 2.91704 + 1.40477i 0.101867 + 0.0490567i
\(821\) −11.1818 + 14.0216i −0.390249 + 0.489357i −0.937683 0.347492i \(-0.887033\pi\)
0.547434 + 0.836849i \(0.315605\pi\)
\(822\) −2.26366 1.09012i −0.0789543 0.0380224i
\(823\) 8.52226 37.3385i 0.297067 1.30154i −0.577403 0.816459i \(-0.695934\pi\)
0.874471 0.485078i \(-0.161209\pi\)
\(824\) −5.70558 + 2.74766i −0.198763 + 0.0957193i
\(825\) 0.386190 + 1.69201i 0.0134454 + 0.0589082i
\(826\) −1.37481 + 15.4634i −0.0478358 + 0.538040i
\(827\) −3.35358 + 14.6930i −0.116615 + 0.510926i 0.882555 + 0.470209i \(0.155821\pi\)
−0.999171 + 0.0407170i \(0.987036\pi\)
\(828\) −3.38333 14.8233i −0.117579 0.515147i
\(829\) 31.0918 + 38.9879i 1.07986 + 1.35410i 0.930905 + 0.365261i \(0.119020\pi\)
0.148957 + 0.988844i \(0.452408\pi\)
\(830\) −4.65684 20.4030i −0.161641 0.708197i
\(831\) −14.2171 6.84658i −0.493185 0.237505i
\(832\) 3.82864 0.132734
\(833\) −16.8299 31.1132i −0.583122 1.07801i
\(834\) −14.9702 −0.518376
\(835\) 14.3033 + 6.88811i 0.494987 + 0.238373i
\(836\) −7.52672 32.9767i −0.260317 1.14052i
\(837\) 1.12258 + 1.40767i 0.0388019 + 0.0486561i
\(838\) −1.70290 7.46090i −0.0588258 0.257733i
\(839\) 1.71858 7.52957i 0.0593318 0.259950i −0.936559 0.350509i \(-0.886008\pi\)
0.995891 + 0.0905597i \(0.0288656\pi\)
\(840\) −5.14104 1.66426i −0.177383 0.0574223i
\(841\) 6.45180 + 28.2672i 0.222476 + 0.974731i
\(842\) 16.1940 7.79861i 0.558081 0.268758i
\(843\) −3.52004 + 15.4223i −0.121237 + 0.531172i
\(844\) −7.64938 3.68375i −0.263303 0.126800i
\(845\) −2.24073 + 2.80979i −0.0770835 + 0.0966596i
\(846\) −9.89522 4.76529i −0.340205 0.163834i
\(847\) −64.5063 20.8820i −2.21646 0.717513i
\(848\) −4.33383 + 2.08706i −0.148824 + 0.0716700i
\(849\) −3.76780 + 16.5078i −0.129311 + 0.566546i
\(850\) −0.958624 + 1.20208i −0.0328805 + 0.0412309i
\(851\) −43.2000 −1.48088
\(852\) 4.35455 0.149184
\(853\) 20.0824 25.1825i 0.687607 0.862232i −0.308423 0.951249i \(-0.599801\pi\)
0.996030 + 0.0890171i \(0.0283726\pi\)
\(854\) 10.3989 17.4478i 0.355842 0.597051i
\(855\) −15.9456 19.9951i −0.545328 0.683819i
\(856\) 4.69887 + 5.89219i 0.160604 + 0.201391i
\(857\) 36.6003 17.6258i 1.25024 0.602085i 0.312666 0.949863i \(-0.398778\pi\)
0.937577 + 0.347778i \(0.113064\pi\)
\(858\) −19.6763 + 9.47561i −0.671738 + 0.323492i
\(859\) 35.3430 + 44.3187i 1.20589 + 1.51213i 0.801998 + 0.597326i \(0.203770\pi\)
0.403888 + 0.914808i \(0.367658\pi\)
\(860\) −1.17510 1.47353i −0.0400707 0.0502471i
\(861\) −1.90749 + 3.20048i −0.0650069 + 0.109072i
\(862\) 8.58703 10.7678i 0.292475 0.366753i
\(863\) −30.3381 −1.03272 −0.516360 0.856372i \(-0.672713\pi\)
−0.516360 + 0.856372i \(0.672713\pi\)
\(864\) 4.81784 0.163906
\(865\) 15.0646 18.8903i 0.512210 0.642291i
\(866\) −8.79667 + 38.5407i −0.298923 + 1.30967i
\(867\) 7.24881 3.49085i 0.246183 0.118555i
\(868\) −0.940682 0.304518i −0.0319288 0.0103360i
\(869\) −38.5299 18.5550i −1.30704 0.629435i
\(870\) −0.0975709 + 0.122350i −0.00330796 + 0.00414806i
\(871\) 9.86621 + 4.75132i 0.334304 + 0.160992i
\(872\) −1.11004 + 4.86342i −0.0375908 + 0.164696i
\(873\) −0.861148 + 0.414707i −0.0291455 + 0.0140357i
\(874\) −8.95481 39.2336i −0.302901 1.32710i
\(875\) −28.9324 9.36601i −0.978095 0.316629i
\(876\) 2.80400 12.2851i 0.0947385 0.415076i
\(877\) −10.2964 45.1114i −0.347684 1.52331i −0.782422 0.622748i \(-0.786016\pi\)
0.434738 0.900557i \(-0.356841\pi\)
\(878\) 9.26985 + 11.6240i 0.312842 + 0.392292i
\(879\) 1.42967 + 6.26380i 0.0482216 + 0.211273i
\(880\) −11.8157 5.69016i −0.398309 0.191815i
\(881\) −38.9385 −1.31187 −0.655936 0.754817i \(-0.727726\pi\)
−0.655936 + 0.754817i \(0.727726\pi\)
\(882\) −5.78002 + 13.6047i −0.194623 + 0.458093i
\(883\) 43.2138 1.45426 0.727130 0.686500i \(-0.240854\pi\)
0.727130 + 0.686500i \(0.240854\pi\)
\(884\) −17.4314 8.39453i −0.586282 0.282339i
\(885\) −2.66673 11.6837i −0.0896411 0.392743i
\(886\) 7.23847 + 9.07675i 0.243181 + 0.304939i
\(887\) −4.06433 17.8070i −0.136467 0.597900i −0.996195 0.0871487i \(-0.972224\pi\)
0.859729 0.510751i \(-0.170633\pi\)
\(888\) 1.25833 5.51310i 0.0422268 0.185008i
\(889\) 3.79588 42.6947i 0.127310 1.43194i
\(890\) 5.76628 + 25.2637i 0.193286 + 0.846842i
\(891\) 9.78246 4.71098i 0.327725 0.157824i
\(892\) −2.77308 + 12.1497i −0.0928496 + 0.406801i
\(893\) −26.1901 12.6125i −0.876420 0.422062i
\(894\) −3.32840 + 4.17368i −0.111318 + 0.139589i
\(895\) 33.4025 + 16.0858i 1.11652 + 0.537690i
\(896\) −2.20649 + 1.45993i −0.0737136 + 0.0487729i
\(897\) −23.4096 + 11.2735i −0.781624 + 0.376411i
\(898\) 7.95258 34.8425i 0.265381 1.16271i
\(899\) −0.0178531 + 0.0223870i −0.000595433 + 0.000746649i
\(900\) 0.642486 0.0214162
\(901\) 24.3075 0.809801
\(902\) −5.63778 + 7.06956i −0.187718 + 0.235391i
\(903\) 1.80879 1.19679i 0.0601926 0.0398267i
\(904\) 5.94615 + 7.45623i 0.197766 + 0.247991i
\(905\) −17.0192 21.3414i −0.565737 0.709411i
\(906\) 6.76479 3.25775i 0.224745 0.108231i
\(907\) −27.1043 + 13.0528i −0.899985 + 0.433410i −0.825883 0.563841i \(-0.809323\pi\)
−0.0741013 + 0.997251i \(0.523609\pi\)
\(908\) −1.29582 1.62491i −0.0430033 0.0539245i
\(909\) 13.6566 + 17.1248i 0.452961 + 0.567995i
\(910\) 1.94390 21.8643i 0.0644396 0.724795i
\(911\) 24.0574 30.1670i 0.797057 0.999478i −0.202738 0.979233i \(-0.564984\pi\)
0.999795 0.0202446i \(-0.00644449\pi\)
\(912\) 5.26776 0.174433
\(913\) 58.4478 1.93434
\(914\) −12.6911 + 15.9141i −0.419784 + 0.526392i
\(915\) −3.48906 + 15.2866i −0.115345 + 0.505359i
\(916\) 0.756617 0.364368i 0.0249993 0.0120390i
\(917\) 8.16545 + 21.6852i 0.269647 + 0.716107i
\(918\) −21.9351 10.5634i −0.723967 0.348644i
\(919\) 14.4160 18.0771i 0.475540 0.596309i −0.484978 0.874527i \(-0.661172\pi\)
0.960518 + 0.278218i \(0.0897437\pi\)
\(920\) −14.0576 6.76980i −0.463466 0.223194i
\(921\) −2.18571 + 9.57624i −0.0720217 + 0.315548i
\(922\) −18.1331 + 8.73242i −0.597181 + 0.287587i
\(923\) 3.93612 + 17.2453i 0.129559 + 0.567635i
\(924\) 7.72646 12.9639i 0.254182 0.426480i
\(925\) 0.406204 1.77970i 0.0133559 0.0585161i
\(926\) −4.41241 19.3320i −0.145001 0.635290i
\(927\) −8.33763 10.4551i −0.273844 0.343389i
\(928\) 0.0170498 + 0.0747001i 0.000559688 + 0.00245215i
\(929\) −2.51628 1.21178i −0.0825565 0.0397571i 0.392150 0.919901i \(-0.371731\pi\)
−0.474706 + 0.880144i \(0.657446\pi\)
\(930\) 0.763268 0.0250285
\(931\) −15.2982 + 36.0081i −0.501379 + 1.18012i
\(932\) −13.1308 −0.430115
\(933\) 10.4346 + 5.02503i 0.341613 + 0.164512i
\(934\) −0.0710168 0.311145i −0.00232374 0.0101810i
\(935\) 41.3199 + 51.8135i 1.35131 + 1.69448i
\(936\) 1.79903 + 7.88207i 0.0588032 + 0.257634i
\(937\) −10.5327 + 46.1467i −0.344088 + 1.50755i 0.446268 + 0.894899i \(0.352753\pi\)
−0.790356 + 0.612648i \(0.790104\pi\)
\(938\) −7.49778 + 1.02393i −0.244811 + 0.0334326i
\(939\) 2.21782 + 9.71692i 0.0723759 + 0.317100i
\(940\) −10.1544 + 4.89010i −0.331200 + 0.159498i
\(941\) 3.51983 15.4214i 0.114743 0.502723i −0.884595 0.466359i \(-0.845565\pi\)
0.999339 0.0363635i \(-0.0115774\pi\)
\(942\) 13.1076 + 6.31231i 0.427070 + 0.205666i
\(943\) −6.70748 + 8.41091i −0.218426 + 0.273897i
\(944\) −5.28659 2.54589i −0.172064 0.0828615i
\(945\) 2.44614 27.5134i 0.0795729 0.895009i
\(946\) 4.74247 2.28385i 0.154191 0.0742544i
\(947\) 1.83076 8.02110i 0.0594918 0.260651i −0.936432 0.350849i \(-0.885893\pi\)
0.995924 + 0.0901984i \(0.0287501\pi\)
\(948\) 4.15248 5.20705i 0.134866 0.169117i
\(949\) 51.1872 1.66161
\(950\) 1.70050 0.0551715
\(951\) −13.4652 + 16.8849i −0.436641 + 0.547530i
\(952\) 13.2469 1.80906i 0.429335 0.0586321i
\(953\) 15.3988 + 19.3094i 0.498815 + 0.625494i 0.965962 0.258686i \(-0.0832894\pi\)
−0.467147 + 0.884180i \(0.654718\pi\)
\(954\) −6.33308 7.94143i −0.205041 0.257113i
\(955\) 30.5258 14.7004i 0.987791 0.475695i
\(956\) −8.78606 + 4.23114i −0.284162 + 0.136845i
\(957\) −0.272501 0.341705i −0.00880870 0.0110458i
\(958\) −22.0132 27.6036i −0.711213 0.891833i
\(959\) 2.48534 + 6.60037i 0.0802558 + 0.213137i
\(960\) 1.27342 1.59682i 0.0410995 0.0515371i
\(961\) −30.8603 −0.995495
\(962\) 22.9709 0.740611
\(963\) −9.92240 + 12.4423i −0.319745 + 0.400947i
\(964\) 4.61300 20.2109i 0.148575 0.650949i
\(965\) −19.9367 + 9.60101i −0.641785 + 0.309067i
\(966\) 9.19245 15.4236i 0.295762 0.496245i
\(967\) −38.1331 18.3639i −1.22628 0.590544i −0.295224 0.955428i \(-0.595394\pi\)
−0.931053 + 0.364884i \(0.881108\pi\)
\(968\) 15.9780 20.0358i 0.513553 0.643975i
\(969\) −23.9836 11.5499i −0.770464 0.371036i
\(970\) −0.218257 + 0.956245i −0.00700780 + 0.0307032i
\(971\) −14.0707 + 6.77608i −0.451549 + 0.217455i −0.645815 0.763494i \(-0.723482\pi\)
0.194265 + 0.980949i \(0.437768\pi\)
\(972\) 3.59248 + 15.7397i 0.115229 + 0.504850i
\(973\) 30.4055 + 29.0075i 0.974755 + 0.929937i
\(974\) −4.14032 + 18.1399i −0.132664 + 0.581240i
\(975\) −0.244313 1.07040i −0.00782427 0.0342804i
\(976\) 4.78657 + 6.00217i 0.153214 + 0.192125i
\(977\) −0.0899113 0.393927i −0.00287652 0.0126028i 0.973469 0.228818i \(-0.0734860\pi\)
−0.976346 + 0.216215i \(0.930629\pi\)
\(978\) 4.90154 + 2.36046i 0.156734 + 0.0754790i
\(979\) −72.3723 −2.31303
\(980\) 7.21699 + 13.3419i 0.230538 + 0.426192i
\(981\) −10.5340 −0.336324
\(982\) 13.8812 + 6.68485i 0.442968 + 0.213322i
\(983\) −5.89500 25.8277i −0.188021 0.823775i −0.977658 0.210201i \(-0.932588\pi\)
0.789637 0.613574i \(-0.210269\pi\)
\(984\) −0.878010 1.10099i −0.0279899 0.0350983i
\(985\) 8.31500 + 36.4304i 0.264938 + 1.16077i
\(986\) 0.0861585 0.377485i 0.00274385 0.0120216i
\(987\) −4.57042 12.1378i −0.145478 0.386350i
\(988\) 4.76158 + 20.8618i 0.151486 + 0.663704i
\(989\) 5.64228 2.71718i 0.179414 0.0864013i
\(990\) 6.16234 26.9990i 0.195852 0.858084i
\(991\) 47.6062 + 22.9260i 1.51226 + 0.728267i 0.992059 0.125776i \(-0.0401420\pi\)
0.520203 + 0.854043i \(0.325856\pi\)
\(992\) 0.233004 0.292178i 0.00739790 0.00927667i
\(993\) 8.96903 + 4.31926i 0.284623 + 0.137067i
\(994\) −8.84438 8.43773i −0.280527 0.267629i
\(995\) 33.5199 16.1423i 1.06265 0.511746i
\(996\) −2.02549 + 8.87425i −0.0641801 + 0.281191i
\(997\) −37.7887 + 47.3856i −1.19678 + 1.50072i −0.378793 + 0.925481i \(0.623661\pi\)
−0.817988 + 0.575235i \(0.804911\pi\)
\(998\) 40.5539 1.28371
\(999\) 28.9058 0.914540
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 98.2.e.a.29.3 18
3.2 odd 2 882.2.u.j.127.1 18
4.3 odd 2 784.2.u.c.225.1 18
7.2 even 3 686.2.g.i.459.1 36
7.3 odd 6 686.2.g.j.373.1 36
7.4 even 3 686.2.g.i.373.3 36
7.5 odd 6 686.2.g.j.459.3 36
7.6 odd 2 686.2.e.a.197.1 18
49.4 even 21 686.2.g.i.275.1 36
49.13 odd 14 4802.2.a.e.1.7 9
49.22 even 7 inner 98.2.e.a.71.3 yes 18
49.23 even 21 686.2.g.i.263.3 36
49.26 odd 42 686.2.g.j.263.1 36
49.27 odd 14 686.2.e.a.491.1 18
49.36 even 7 4802.2.a.h.1.3 9
49.45 odd 42 686.2.g.j.275.3 36
147.71 odd 14 882.2.u.j.757.1 18
196.71 odd 14 784.2.u.c.561.1 18
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
98.2.e.a.29.3 18 1.1 even 1 trivial
98.2.e.a.71.3 yes 18 49.22 even 7 inner
686.2.e.a.197.1 18 7.6 odd 2
686.2.e.a.491.1 18 49.27 odd 14
686.2.g.i.263.3 36 49.23 even 21
686.2.g.i.275.1 36 49.4 even 21
686.2.g.i.373.3 36 7.4 even 3
686.2.g.i.459.1 36 7.2 even 3
686.2.g.j.263.1 36 49.26 odd 42
686.2.g.j.275.3 36 49.45 odd 42
686.2.g.j.373.1 36 7.3 odd 6
686.2.g.j.459.3 36 7.5 odd 6
784.2.u.c.225.1 18 4.3 odd 2
784.2.u.c.561.1 18 196.71 odd 14
882.2.u.j.127.1 18 3.2 odd 2
882.2.u.j.757.1 18 147.71 odd 14
4802.2.a.e.1.7 9 49.13 odd 14
4802.2.a.h.1.3 9 49.36 even 7