Properties

Label 184.2.j.a.43.11
Level $184$
Weight $2$
Character 184.43
Analytic conductor $1.469$
Analytic rank $0$
Dimension $220$
Inner twists $4$

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Show commands: Magma / Pari/GP / SageMath

Newspace parameters

Copy content comment:Compute space of new eigenforms
 
Copy content gp:[N,k,chi] = [184,2,Mod(11,184)] mf = mfinit([N,k,chi],0) lf = mfeigenbasis(mf)
 
Copy content sage:from sage.modular.dirichlet import DirichletCharacter H = DirichletGroup(184, base_ring=CyclotomicField(22)) chi = DirichletCharacter(H, H._module([11, 11, 9])) N = Newforms(chi, 2, names="a")
 
Copy content magma://Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code chi := DirichletCharacter("184.11"); S:= CuspForms(chi, 2); N := Newforms(S);
 
Level: \( N \) \(=\) \( 184 = 2^{3} \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 184.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Copy content comment:select newform
 
Copy content sage:traces = [] f = next(g for g in N if [g.coefficient(i+1).trace() for i in range(0)] == traces)
 
Copy content gp:f = lf[1] \\ Warning: the index may be different
 
Self dual: no
Analytic conductor: \(1.46924739719\)
Analytic rank: \(0\)
Dimension: \(220\)
Relative dimension: \(22\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 43.11
Character \(\chi\) \(=\) 184.43
Dual form 184.2.j.a.107.11

$q$-expansion

Copy content comment:q-expansion
 
Copy content sage:f.q_expansion() # note that sage often uses an isomorphic number field
 
Copy content gp:mfcoefs(f, 20)
 
\(f(q)\) \(=\) \(q+(0.0153197 + 1.41413i) q^{2} +(0.335452 - 0.734537i) q^{3} +(-1.99953 + 0.0433280i) q^{4} +(-2.69567 + 3.11097i) q^{5} +(1.04387 + 0.463120i) q^{6} +(-1.00397 + 0.645214i) q^{7} +(-0.0919036 - 2.82693i) q^{8} +(1.53757 + 1.77445i) q^{9} +(-4.44062 - 3.76438i) q^{10} +(-2.79816 - 0.402314i) q^{11} +(-0.638920 + 1.48326i) q^{12} +(0.385423 - 0.599730i) q^{13} +(-0.927797 - 1.40986i) q^{14} +(1.38086 + 3.02366i) q^{15} +(3.99625 - 0.173271i) q^{16} +(-1.46423 + 4.98670i) q^{17} +(-2.48574 + 2.20150i) q^{18} +(0.987293 + 3.36241i) q^{19} +(5.25529 - 6.33729i) q^{20} +(0.137149 + 0.953893i) q^{21} +(0.526058 - 3.96312i) q^{22} +(4.34427 - 2.03158i) q^{23} +(-2.10732 - 0.880793i) q^{24} +(-1.69993 - 11.8232i) q^{25} +(0.854001 + 0.535851i) q^{26} +(4.14358 - 1.21666i) q^{27} +(1.97952 - 1.33363i) q^{28} +(-1.87971 + 6.40170i) q^{29} +(-4.25469 + 1.99903i) q^{30} +(8.74160 - 3.99216i) q^{31} +(0.306249 + 5.64856i) q^{32} +(-1.23416 + 1.92039i) q^{33} +(-7.07427 - 1.99421i) q^{34} +(0.699139 - 4.86262i) q^{35} +(-3.15129 - 3.48144i) q^{36} +(-3.47096 - 4.00570i) q^{37} +(-4.73976 + 1.44767i) q^{38} +(-0.311233 - 0.484288i) q^{39} +(9.04226 + 7.33458i) q^{40} +(1.75664 - 2.02727i) q^{41} +(-1.34683 + 0.208560i) q^{42} +(2.28877 + 1.04525i) q^{43} +(5.61243 + 0.683201i) q^{44} -9.66503 q^{45} +(2.93947 + 6.11224i) q^{46} +8.53844i q^{47} +(1.21327 - 2.99351i) q^{48} +(-2.31625 + 5.07187i) q^{49} +(16.6936 - 2.58505i) q^{50} +(3.17174 + 2.74832i) q^{51} +(-0.744680 + 1.21588i) q^{52} +(5.97949 - 3.84279i) q^{53} +(1.78400 + 5.84092i) q^{54} +(8.79451 - 7.62049i) q^{55} +(1.91625 + 2.77887i) q^{56} +(2.80100 + 0.402724i) q^{57} +(-9.08164 - 2.56008i) q^{58} +(-2.95666 - 1.90013i) q^{59} +(-2.89208 - 5.98606i) q^{60} +(2.52389 + 5.52655i) q^{61} +(5.77935 + 12.3006i) q^{62} +(-2.68857 - 0.789435i) q^{63} +(-7.98311 + 0.519611i) q^{64} +(0.826769 + 2.81572i) q^{65} +(-2.73459 - 1.71585i) q^{66} +(-7.59646 + 1.09221i) q^{67} +(2.71170 - 10.0345i) q^{68} +(-0.0349776 - 3.87252i) q^{69} +(6.88709 + 0.914181i) q^{70} +(-6.66958 + 0.958940i) q^{71} +(4.87493 - 4.50967i) q^{72} +(-1.06524 + 0.312784i) q^{73} +(5.61142 - 4.96976i) q^{74} +(-9.25486 - 2.71747i) q^{75} +(-2.11981 - 6.68046i) q^{76} +(3.06885 - 1.40150i) q^{77} +(0.680078 - 0.447543i) q^{78} +(-5.61730 - 3.61002i) q^{79} +(-10.2335 + 12.8993i) q^{80} +(-0.506149 + 3.52034i) q^{81} +(2.89374 + 2.45306i) q^{82} +(-2.25037 + 1.94996i) q^{83} +(-0.315564 - 1.90140i) q^{84} +(-11.5664 - 17.9977i) q^{85} +(-1.44305 + 3.25263i) q^{86} +(4.07173 + 3.52818i) q^{87} +(-0.880155 + 7.94718i) q^{88} +(1.20672 + 0.551091i) q^{89} +(-0.148065 - 13.6676i) q^{90} +0.850793i q^{91} +(-8.59848 + 4.25044i) q^{92} -7.76021i q^{93} +(-12.0745 + 0.130806i) q^{94} +(-13.1218 - 5.99252i) q^{95} +(4.25181 + 1.66987i) q^{96} +(2.77192 + 2.40188i) q^{97} +(-7.20777 - 3.19777i) q^{98} +(-3.58846 - 5.58376i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 220 q - 11 q^{2} - 18 q^{3} - 3 q^{4} - 12 q^{6} - 8 q^{8} - 36 q^{9} - 11 q^{10} - 22 q^{11} - 6 q^{12} - 11 q^{14} + 5 q^{16} - 22 q^{17} - 6 q^{18} - 22 q^{19} - 11 q^{20} - 18 q^{24} - 32 q^{25} - 10 q^{26}+ \cdots - 22 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/184\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(93\) \(97\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{5}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0153197 + 1.41413i 0.0108326 + 0.999941i
\(3\) 0.335452 0.734537i 0.193673 0.424085i −0.787736 0.616013i \(-0.788747\pi\)
0.981409 + 0.191928i \(0.0614740\pi\)
\(4\) −1.99953 + 0.0433280i −0.999765 + 0.0216640i
\(5\) −2.69567 + 3.11097i −1.20554 + 1.39127i −0.307391 + 0.951583i \(0.599456\pi\)
−0.898151 + 0.439687i \(0.855089\pi\)
\(6\) 1.04387 + 0.463120i 0.426158 + 0.189068i
\(7\) −1.00397 + 0.645214i −0.379466 + 0.243868i −0.716444 0.697645i \(-0.754232\pi\)
0.336978 + 0.941512i \(0.390595\pi\)
\(8\) −0.0919036 2.82693i −0.0324928 0.999472i
\(9\) 1.53757 + 1.77445i 0.512522 + 0.591482i
\(10\) −4.44062 3.76438i −1.40425 1.19040i
\(11\) −2.79816 0.402314i −0.843676 0.121302i −0.293094 0.956084i \(-0.594685\pi\)
−0.550582 + 0.834781i \(0.685594\pi\)
\(12\) −0.638920 + 1.48326i −0.184440 + 0.428181i
\(13\) 0.385423 0.599730i 0.106897 0.166335i −0.783684 0.621160i \(-0.786662\pi\)
0.890581 + 0.454825i \(0.150298\pi\)
\(14\) −0.927797 1.40986i −0.247964 0.376802i
\(15\) 1.38086 + 3.02366i 0.356536 + 0.780704i
\(16\) 3.99625 0.173271i 0.999061 0.0433178i
\(17\) −1.46423 + 4.98670i −0.355127 + 1.20945i 0.567375 + 0.823459i \(0.307959\pi\)
−0.922502 + 0.385992i \(0.873859\pi\)
\(18\) −2.48574 + 2.20150i −0.585895 + 0.518899i
\(19\) 0.987293 + 3.36241i 0.226500 + 0.771390i 0.991809 + 0.127727i \(0.0407680\pi\)
−0.765309 + 0.643663i \(0.777414\pi\)
\(20\) 5.25529 6.33729i 1.17512 1.41706i
\(21\) 0.137149 + 0.953893i 0.0299284 + 0.208157i
\(22\) 0.526058 3.96312i 0.112156 0.844941i
\(23\) 4.34427 2.03158i 0.905843 0.423614i
\(24\) −2.10732 0.880793i −0.430154 0.179791i
\(25\) −1.69993 11.8232i −0.339985 2.36465i
\(26\) 0.854001 + 0.535851i 0.167483 + 0.105089i
\(27\) 4.14358 1.21666i 0.797432 0.234147i
\(28\) 1.97952 1.33363i 0.374094 0.252031i
\(29\) −1.87971 + 6.40170i −0.349053 + 1.18877i 0.578690 + 0.815547i \(0.303564\pi\)
−0.927743 + 0.373219i \(0.878254\pi\)
\(30\) −4.25469 + 1.99903i −0.776796 + 0.364972i
\(31\) 8.74160 3.99216i 1.57004 0.717012i 0.575155 0.818045i \(-0.304942\pi\)
0.994883 + 0.101032i \(0.0322146\pi\)
\(32\) 0.306249 + 5.64856i 0.0541378 + 0.998533i
\(33\) −1.23416 + 1.92039i −0.214840 + 0.334298i
\(34\) −7.07427 1.99421i −1.21323 0.342005i
\(35\) 0.699139 4.86262i 0.118176 0.821933i
\(36\) −3.15129 3.48144i −0.525215 0.580240i
\(37\) −3.47096 4.00570i −0.570623 0.658534i 0.394939 0.918707i \(-0.370766\pi\)
−0.965562 + 0.260174i \(0.916220\pi\)
\(38\) −4.73976 + 1.44767i −0.768891 + 0.234843i
\(39\) −0.311233 0.484288i −0.0498372 0.0775481i
\(40\) 9.04226 + 7.33458i 1.42971 + 1.15970i
\(41\) 1.75664 2.02727i 0.274341 0.316607i −0.601813 0.798637i \(-0.705555\pi\)
0.876155 + 0.482030i \(0.160100\pi\)
\(42\) −1.34683 + 0.208560i −0.207820 + 0.0321815i
\(43\) 2.28877 + 1.04525i 0.349034 + 0.159398i 0.582215 0.813035i \(-0.302186\pi\)
−0.233181 + 0.972433i \(0.574913\pi\)
\(44\) 5.61243 + 0.683201i 0.846106 + 0.102996i
\(45\) −9.66503 −1.44078
\(46\) 2.93947 + 6.11224i 0.433402 + 0.901201i
\(47\) 8.53844i 1.24546i 0.782437 + 0.622730i \(0.213976\pi\)
−0.782437 + 0.622730i \(0.786024\pi\)
\(48\) 1.21327 2.99351i 0.175121 0.432077i
\(49\) −2.31625 + 5.07187i −0.330892 + 0.724553i
\(50\) 16.6936 2.58505i 2.36083 0.365581i
\(51\) 3.17174 + 2.74832i 0.444132 + 0.384842i
\(52\) −0.744680 + 1.21588i −0.103269 + 0.168612i
\(53\) 5.97949 3.84279i 0.821347 0.527848i −0.0611706 0.998127i \(-0.519483\pi\)
0.882517 + 0.470280i \(0.155847\pi\)
\(54\) 1.78400 + 5.84092i 0.242772 + 0.794848i
\(55\) 8.79451 7.62049i 1.18585 1.02755i
\(56\) 1.91625 + 2.77887i 0.256069 + 0.371342i
\(57\) 2.80100 + 0.402724i 0.371002 + 0.0533420i
\(58\) −9.08164 2.56008i −1.19248 0.336155i
\(59\) −2.95666 1.90013i −0.384924 0.247376i 0.333840 0.942630i \(-0.391656\pi\)
−0.718764 + 0.695254i \(0.755292\pi\)
\(60\) −2.89208 5.98606i −0.373365 0.772797i
\(61\) 2.52389 + 5.52655i 0.323151 + 0.707602i 0.999582 0.0289039i \(-0.00920168\pi\)
−0.676431 + 0.736506i \(0.736474\pi\)
\(62\) 5.77935 + 12.3006i 0.733978 + 1.56218i
\(63\) −2.68857 0.789435i −0.338728 0.0994595i
\(64\) −7.98311 + 0.519611i −0.997888 + 0.0649513i
\(65\) 0.826769 + 2.81572i 0.102548 + 0.349247i
\(66\) −2.73459 1.71585i −0.336605 0.211206i
\(67\) −7.59646 + 1.09221i −0.928056 + 0.133434i −0.589735 0.807597i \(-0.700768\pi\)
−0.338320 + 0.941031i \(0.609859\pi\)
\(68\) 2.71170 10.0345i 0.328842 1.21686i
\(69\) −0.0349776 3.87252i −0.00421081 0.466197i
\(70\) 6.88709 + 0.914181i 0.823165 + 0.109265i
\(71\) −6.66958 + 0.958940i −0.791533 + 0.113805i −0.526210 0.850354i \(-0.676388\pi\)
−0.265323 + 0.964160i \(0.585478\pi\)
\(72\) 4.87493 4.50967i 0.574516 0.531470i
\(73\) −1.06524 + 0.312784i −0.124677 + 0.0366086i −0.343476 0.939161i \(-0.611604\pi\)
0.218799 + 0.975770i \(0.429786\pi\)
\(74\) 5.61142 4.96976i 0.652314 0.577723i
\(75\) −9.25486 2.71747i −1.06866 0.313787i
\(76\) −2.11981 6.68046i −0.243159 0.766302i
\(77\) 3.06885 1.40150i 0.349728 0.159715i
\(78\) 0.680078 0.447543i 0.0770037 0.0506743i
\(79\) −5.61730 3.61002i −0.631996 0.406159i 0.185052 0.982729i \(-0.440755\pi\)
−0.817048 + 0.576569i \(0.804391\pi\)
\(80\) −10.2335 + 12.8993i −1.14414 + 1.44219i
\(81\) −0.506149 + 3.52034i −0.0562388 + 0.391149i
\(82\) 2.89374 + 2.45306i 0.319560 + 0.270896i
\(83\) −2.25037 + 1.94996i −0.247011 + 0.214036i −0.769562 0.638572i \(-0.779526\pi\)
0.522552 + 0.852608i \(0.324980\pi\)
\(84\) −0.315564 1.90140i −0.0344309 0.207459i
\(85\) −11.5664 17.9977i −1.25455 1.95212i
\(86\) −1.44305 + 3.25263i −0.155608 + 0.350740i
\(87\) 4.07173 + 3.52818i 0.436536 + 0.378260i
\(88\) −0.880155 + 7.94718i −0.0938248 + 0.847172i
\(89\) 1.20672 + 0.551091i 0.127912 + 0.0584156i 0.478343 0.878173i \(-0.341238\pi\)
−0.350431 + 0.936589i \(0.613965\pi\)
\(90\) −0.148065 13.6676i −0.0156074 1.44069i
\(91\) 0.850793i 0.0891873i
\(92\) −8.59848 + 4.25044i −0.896453 + 0.443139i
\(93\) 7.76021i 0.804696i
\(94\) −12.0745 + 0.130806i −1.24539 + 0.0134916i
\(95\) −13.1218 5.99252i −1.34627 0.614820i
\(96\) 4.25181 + 1.66987i 0.433948 + 0.170430i
\(97\) 2.77192 + 2.40188i 0.281446 + 0.243874i 0.784131 0.620595i \(-0.213109\pi\)
−0.502685 + 0.864470i \(0.667654\pi\)
\(98\) −7.20777 3.19777i −0.728095 0.323024i
\(99\) −3.58846 5.58376i −0.360654 0.561189i
\(100\) 3.91133 + 23.5673i 0.391133 + 2.35673i
\(101\) −6.35794 + 5.50918i −0.632638 + 0.548184i −0.911060 0.412275i \(-0.864734\pi\)
0.278421 + 0.960459i \(0.410189\pi\)
\(102\) −3.83790 + 4.52735i −0.380009 + 0.448275i
\(103\) 1.68141 11.6945i 0.165674 1.15229i −0.722025 0.691867i \(-0.756788\pi\)
0.887699 0.460424i \(-0.152303\pi\)
\(104\) −1.73082 1.03445i −0.169721 0.101436i
\(105\) −3.33725 2.14472i −0.325682 0.209303i
\(106\) 5.52581 + 8.39692i 0.536714 + 0.815581i
\(107\) 13.2027 6.02947i 1.27635 0.582891i 0.342154 0.939644i \(-0.388844\pi\)
0.934199 + 0.356753i \(0.116116\pi\)
\(108\) −8.23249 + 2.61229i −0.792172 + 0.251368i
\(109\) 7.96888 + 2.33987i 0.763280 + 0.224119i 0.640128 0.768268i \(-0.278881\pi\)
0.123153 + 0.992388i \(0.460700\pi\)
\(110\) 10.9111 + 12.3198i 1.04033 + 1.17465i
\(111\) −4.10668 + 1.20583i −0.389789 + 0.114452i
\(112\) −3.90032 + 2.75239i −0.368546 + 0.260077i
\(113\) 6.17741 0.888178i 0.581122 0.0835528i 0.154516 0.987990i \(-0.450618\pi\)
0.426606 + 0.904437i \(0.359709\pi\)
\(114\) −0.526593 + 3.96715i −0.0493200 + 0.371558i
\(115\) −5.39055 + 18.9914i −0.502671 + 1.77096i
\(116\) 3.48116 12.8818i 0.323218 1.19605i
\(117\) 1.65680 0.238212i 0.153171 0.0220227i
\(118\) 2.64174 4.21021i 0.243192 0.387582i
\(119\) −1.74744 5.95124i −0.160188 0.545550i
\(120\) 8.42077 4.18148i 0.768707 0.381715i
\(121\) −2.88660 0.847581i −0.262418 0.0770528i
\(122\) −7.77659 + 3.65377i −0.704060 + 0.330797i
\(123\) −0.899839 1.97037i −0.0811357 0.177662i
\(124\) −17.3061 + 8.36119i −1.55414 + 0.750857i
\(125\) 24.0496 + 15.4557i 2.15106 + 1.38240i
\(126\) 1.07518 3.81408i 0.0957844 0.339786i
\(127\) 2.78733 + 0.400757i 0.247335 + 0.0355614i 0.264867 0.964285i \(-0.414672\pi\)
−0.0175322 + 0.999846i \(0.505581\pi\)
\(128\) −0.857096 11.2812i −0.0757573 0.997126i
\(129\) 1.53554 1.33056i 0.135197 0.117149i
\(130\) −3.96913 + 1.21230i −0.348115 + 0.106325i
\(131\) 15.7100 10.0962i 1.37259 0.882109i 0.373622 0.927581i \(-0.378116\pi\)
0.998966 + 0.0454725i \(0.0144793\pi\)
\(132\) 2.38454 3.89336i 0.207547 0.338873i
\(133\) −3.16069 2.73875i −0.274066 0.237480i
\(134\) −1.66090 10.7257i −0.143480 0.926556i
\(135\) −7.38472 + 16.1703i −0.635576 + 1.39172i
\(136\) 14.2316 + 3.68097i 1.22035 + 0.315641i
\(137\) 7.99573i 0.683121i −0.939860 0.341561i \(-0.889045\pi\)
0.939860 0.341561i \(-0.110955\pi\)
\(138\) 5.47572 0.108789i 0.466124 0.00926071i
\(139\) 11.6385 0.987164 0.493582 0.869699i \(-0.335687\pi\)
0.493582 + 0.869699i \(0.335687\pi\)
\(140\) −1.18726 + 9.75325i −0.100342 + 0.824300i
\(141\) 6.27180 + 2.86424i 0.528181 + 0.241212i
\(142\) −1.45824 9.41696i −0.122373 0.790254i
\(143\) −1.31975 + 1.52308i −0.110363 + 0.127366i
\(144\) 6.45195 + 6.82470i 0.537662 + 0.568725i
\(145\) −14.8484 23.1046i −1.23310 1.91874i
\(146\) −0.458636 1.50160i −0.0379570 0.124274i
\(147\) 2.94849 + 3.40274i 0.243187 + 0.280653i
\(148\) 7.11386 + 7.85914i 0.584755 + 0.646017i
\(149\) −1.98226 + 13.7869i −0.162393 + 1.12947i 0.731714 + 0.681612i \(0.238721\pi\)
−0.894107 + 0.447854i \(0.852188\pi\)
\(150\) 3.70108 13.1292i 0.302192 1.07200i
\(151\) −12.9584 + 20.1637i −1.05454 + 1.64089i −0.341330 + 0.939944i \(0.610877\pi\)
−0.713209 + 0.700951i \(0.752759\pi\)
\(152\) 9.41457 3.10003i 0.763623 0.251445i
\(153\) −11.1000 + 5.06918i −0.897379 + 0.409819i
\(154\) 2.02891 + 4.31829i 0.163495 + 0.347977i
\(155\) −11.1450 + 37.9565i −0.895190 + 3.04874i
\(156\) 0.643303 + 0.954864i 0.0515055 + 0.0764503i
\(157\) 13.5472 3.97782i 1.08118 0.317465i 0.307832 0.951441i \(-0.400396\pi\)
0.773353 + 0.633976i \(0.218578\pi\)
\(158\) 5.01899 7.99891i 0.399289 0.636359i
\(159\) −0.816838 5.68123i −0.0647794 0.450551i
\(160\) −18.3981 14.2739i −1.45450 1.12845i
\(161\) −3.05072 + 4.84263i −0.240431 + 0.381653i
\(162\) −4.98598 0.661830i −0.391736 0.0519983i
\(163\) −3.18388 22.1444i −0.249381 1.73448i −0.601807 0.798642i \(-0.705552\pi\)
0.352426 0.935840i \(-0.385357\pi\)
\(164\) −3.42462 + 4.12971i −0.267418 + 0.322476i
\(165\) −2.64740 9.01620i −0.206099 0.701910i
\(166\) −2.79197 3.15245i −0.216699 0.244678i
\(167\) 2.92696 9.96833i 0.226495 0.771372i −0.765315 0.643655i \(-0.777417\pi\)
0.991811 0.127717i \(-0.0407648\pi\)
\(168\) 2.68399 0.475378i 0.207074 0.0366762i
\(169\) 5.18927 + 11.3629i 0.399175 + 0.874071i
\(170\) 25.2739 16.6321i 1.93842 1.27563i
\(171\) −4.44838 + 6.92182i −0.340176 + 0.529325i
\(172\) −4.62175 1.99083i −0.352405 0.151800i
\(173\) 12.1963 + 1.75357i 0.927271 + 0.133321i 0.589373 0.807861i \(-0.299375\pi\)
0.337898 + 0.941183i \(0.390284\pi\)
\(174\) −4.92693 + 5.81201i −0.373509 + 0.440608i
\(175\) 9.33520 + 10.7734i 0.705675 + 0.814392i
\(176\) −11.2518 1.12291i −0.848139 0.0846422i
\(177\) −2.38753 + 1.53437i −0.179458 + 0.115331i
\(178\) −0.760828 + 1.71490i −0.0570265 + 0.128538i
\(179\) 3.09819 3.57550i 0.231569 0.267245i −0.628058 0.778166i \(-0.716150\pi\)
0.859628 + 0.510921i \(0.170696\pi\)
\(180\) 19.3255 0.418767i 1.44044 0.0312130i
\(181\) 3.02811 6.63063i 0.225077 0.492851i −0.763078 0.646306i \(-0.776313\pi\)
0.988156 + 0.153456i \(0.0490402\pi\)
\(182\) −1.20313 + 0.0130339i −0.0891821 + 0.000966134i
\(183\) 4.90610 0.362669
\(184\) −6.14240 12.0943i −0.452823 0.891600i
\(185\) 21.8182 1.60411
\(186\) 10.9739 0.118884i 0.804649 0.00871698i
\(187\) 6.10335 13.3645i 0.446321 0.977307i
\(188\) −0.369954 17.0729i −0.0269816 1.24517i
\(189\) −3.37503 + 3.89499i −0.245497 + 0.283319i
\(190\) 8.27319 18.6477i 0.600200 1.35285i
\(191\) −19.0826 + 12.2636i −1.38077 + 0.887365i −0.999314 0.0370232i \(-0.988212\pi\)
−0.381453 + 0.924388i \(0.624576\pi\)
\(192\) −2.29627 + 6.03819i −0.165719 + 0.435769i
\(193\) 3.51251 + 4.05365i 0.252836 + 0.291788i 0.867952 0.496648i \(-0.165436\pi\)
−0.615116 + 0.788437i \(0.710891\pi\)
\(194\) −3.35411 + 3.95665i −0.240811 + 0.284071i
\(195\) 2.34559 + 0.337245i 0.167971 + 0.0241506i
\(196\) 4.41165 10.2417i 0.315118 0.731551i
\(197\) 4.62877 7.20250i 0.329786 0.513157i −0.636278 0.771460i \(-0.719527\pi\)
0.966064 + 0.258303i \(0.0831632\pi\)
\(198\) 7.84119 5.16010i 0.557249 0.366712i
\(199\) −0.664735 1.45557i −0.0471218 0.103182i 0.884607 0.466338i \(-0.154427\pi\)
−0.931729 + 0.363155i \(0.881700\pi\)
\(200\) −33.2673 + 5.89218i −2.35235 + 0.416640i
\(201\) −1.74598 + 5.94627i −0.123152 + 0.419417i
\(202\) −7.88811 8.90655i −0.555005 0.626663i
\(203\) −2.24329 7.63995i −0.157448 0.536219i
\(204\) −6.46106 5.35793i −0.452365 0.375130i
\(205\) 1.57146 + 10.9297i 0.109756 + 0.763366i
\(206\) 16.5633 + 2.19858i 1.15402 + 0.153182i
\(207\) 10.2845 + 4.58498i 0.714824 + 0.318678i
\(208\) 1.43633 2.46345i 0.0995915 0.170810i
\(209\) −1.40985 9.80575i −0.0975217 0.678278i
\(210\) 2.98179 4.75216i 0.205763 0.327930i
\(211\) −2.33476 + 0.685548i −0.160732 + 0.0471951i −0.361108 0.932524i \(-0.617602\pi\)
0.200377 + 0.979719i \(0.435783\pi\)
\(212\) −11.7897 + 7.94285i −0.809719 + 0.545517i
\(213\) −1.53294 + 5.22073i −0.105036 + 0.357718i
\(214\) 8.72872 + 18.5780i 0.596683 + 1.26996i
\(215\) −9.42151 + 4.30266i −0.642542 + 0.293439i
\(216\) −3.82024 11.6018i −0.259934 0.789402i
\(217\) −6.20053 + 9.64822i −0.420920 + 0.654964i
\(218\) −3.18681 + 11.3049i −0.215838 + 0.765663i
\(219\) −0.127587 + 0.887385i −0.00862151 + 0.0599639i
\(220\) −17.2547 + 15.6184i −1.16331 + 1.05300i
\(221\) 2.42632 + 2.80013i 0.163212 + 0.188357i
\(222\) −1.76811 5.78891i −0.118668 0.388526i
\(223\) 5.35222 + 8.32822i 0.358411 + 0.557699i 0.972900 0.231227i \(-0.0742740\pi\)
−0.614489 + 0.788926i \(0.710638\pi\)
\(224\) −3.95199 5.47340i −0.264054 0.365707i
\(225\) 18.3660 21.1954i 1.22440 1.41303i
\(226\) 1.35064 + 8.72206i 0.0898430 + 0.580183i
\(227\) −14.8243 6.77004i −0.983924 0.449343i −0.142545 0.989788i \(-0.545529\pi\)
−0.841379 + 0.540445i \(0.818256\pi\)
\(228\) −5.61814 0.683896i −0.372071 0.0452921i
\(229\) 6.48237 0.428367 0.214183 0.976793i \(-0.431291\pi\)
0.214183 + 0.976793i \(0.431291\pi\)
\(230\) −26.9389 7.33199i −1.77630 0.483457i
\(231\) 2.72432i 0.179247i
\(232\) 18.2699 + 4.72547i 1.19948 + 0.310242i
\(233\) 1.64548 3.60311i 0.107799 0.236047i −0.848043 0.529927i \(-0.822219\pi\)
0.955842 + 0.293880i \(0.0949465\pi\)
\(234\) 0.362244 + 2.33928i 0.0236807 + 0.152924i
\(235\) −26.5629 23.0169i −1.73277 1.50145i
\(236\) 5.99426 + 3.67126i 0.390193 + 0.238979i
\(237\) −4.53603 + 2.91513i −0.294647 + 0.189358i
\(238\) 8.38907 2.56228i 0.543782 0.166088i
\(239\) 10.6463 9.22509i 0.688653 0.596721i −0.238617 0.971114i \(-0.576694\pi\)
0.927270 + 0.374392i \(0.122149\pi\)
\(240\) 6.04216 + 11.8440i 0.390020 + 0.764527i
\(241\) 28.5196 + 4.10050i 1.83711 + 0.264136i 0.971578 0.236720i \(-0.0760725\pi\)
0.865530 + 0.500856i \(0.166982\pi\)
\(242\) 1.15437 4.09501i 0.0742056 0.263237i
\(243\) 13.3149 + 8.55697i 0.854152 + 0.548930i
\(244\) −5.28605 10.9411i −0.338405 0.700435i
\(245\) −9.53461 20.8779i −0.609144 1.33384i
\(246\) 2.77258 1.30267i 0.176773 0.0830555i
\(247\) 2.39706 + 0.703841i 0.152521 + 0.0447843i
\(248\) −12.0889 24.3450i −0.767649 1.54591i
\(249\) 0.677426 + 2.30710i 0.0429301 + 0.146207i
\(250\) −21.4880 + 34.2460i −1.35902 + 2.16591i
\(251\) 6.84957 0.984819i 0.432341 0.0621612i 0.0772909 0.997009i \(-0.475373\pi\)
0.355050 + 0.934847i \(0.384464\pi\)
\(252\) 5.41008 + 1.46201i 0.340803 + 0.0920980i
\(253\) −12.9733 + 3.93692i −0.815623 + 0.247512i
\(254\) −0.524022 + 3.94778i −0.0328800 + 0.247706i
\(255\) −17.0999 + 2.45860i −1.07084 + 0.153963i
\(256\) 15.9400 1.38487i 0.996247 0.0865544i
\(257\) −15.2270 + 4.47104i −0.949831 + 0.278896i −0.719717 0.694268i \(-0.755728\pi\)
−0.230115 + 0.973164i \(0.573910\pi\)
\(258\) 1.90510 + 2.15107i 0.118607 + 0.133920i
\(259\) 6.06929 + 1.78210i 0.377127 + 0.110735i
\(260\) −1.77515 5.59429i −0.110090 0.346943i
\(261\) −14.2496 + 6.50759i −0.882031 + 0.402810i
\(262\) 14.5180 + 22.0613i 0.896926 + 1.36295i
\(263\) −12.8236 8.24123i −0.790737 0.508176i 0.0818439 0.996645i \(-0.473919\pi\)
−0.872581 + 0.488469i \(0.837555\pi\)
\(264\) 5.54225 + 3.31240i 0.341102 + 0.203864i
\(265\) −4.16396 + 28.9610i −0.255790 + 1.77906i
\(266\) 3.82453 4.51158i 0.234497 0.276623i
\(267\) 0.809594 0.701517i 0.0495463 0.0429322i
\(268\) 15.1420 2.51304i 0.924947 0.153508i
\(269\) 9.67748 + 15.0584i 0.590046 + 0.918130i 0.999982 + 0.00601538i \(0.00191477\pi\)
−0.409936 + 0.912114i \(0.634449\pi\)
\(270\) −22.9800 10.1952i −1.39852 0.620463i
\(271\) −3.32001 2.87681i −0.201676 0.174754i 0.548167 0.836369i \(-0.315326\pi\)
−0.749844 + 0.661615i \(0.769871\pi\)
\(272\) −4.98735 + 20.1818i −0.302403 + 1.22370i
\(273\) 0.624939 + 0.285400i 0.0378230 + 0.0172732i
\(274\) 11.3070 0.122492i 0.683081 0.00740000i
\(275\) 33.7672i 2.03624i
\(276\) 0.237728 + 7.74172i 0.0143095 + 0.465997i
\(277\) 25.0274i 1.50375i −0.659306 0.751874i \(-0.729150\pi\)
0.659306 0.751874i \(-0.270850\pi\)
\(278\) 0.178298 + 16.4583i 0.0106936 + 0.987106i
\(279\) 20.5246 + 9.37329i 1.22878 + 0.561164i
\(280\) −13.8106 1.52953i −0.825339 0.0914068i
\(281\) −6.15991 5.33759i −0.367469 0.318414i 0.451479 0.892282i \(-0.350897\pi\)
−0.818948 + 0.573868i \(0.805442\pi\)
\(282\) −3.95432 + 8.91302i −0.235476 + 0.530763i
\(283\) 12.2612 + 19.0788i 0.728852 + 1.13412i 0.985838 + 0.167700i \(0.0536341\pi\)
−0.256986 + 0.966415i \(0.582730\pi\)
\(284\) 13.2945 2.20641i 0.788882 0.130926i
\(285\) −8.80346 + 7.62824i −0.521472 + 0.451858i
\(286\) −2.17405 1.84297i −0.128554 0.108977i
\(287\) −0.455596 + 3.16874i −0.0268930 + 0.187045i
\(288\) −9.55218 + 9.22845i −0.562867 + 0.543792i
\(289\) −8.42186 5.41240i −0.495404 0.318377i
\(290\) 32.4455 21.3516i 1.90526 1.25381i
\(291\) 2.69412 1.23036i 0.157932 0.0721251i
\(292\) 2.11644 0.671576i 0.123855 0.0393010i
\(293\) 8.54601 + 2.50934i 0.499263 + 0.146597i 0.521662 0.853152i \(-0.325312\pi\)
−0.0223988 + 0.999749i \(0.507130\pi\)
\(294\) −4.76674 + 4.22168i −0.278002 + 0.246213i
\(295\) 13.8815 4.07596i 0.808210 0.237312i
\(296\) −11.0049 + 10.1803i −0.639645 + 0.591719i
\(297\) −12.0839 + 1.73740i −0.701176 + 0.100814i
\(298\) −19.5268 2.59196i −1.13116 0.150148i
\(299\) 0.455982 3.38841i 0.0263701 0.195957i
\(300\) 18.6231 + 5.03267i 1.07521 + 0.290561i
\(301\) −2.97227 + 0.427348i −0.171319 + 0.0246319i
\(302\) −28.7126 18.0160i −1.65222 1.03670i
\(303\) 1.91392 + 6.51821i 0.109952 + 0.374461i
\(304\) 4.52807 + 13.2659i 0.259703 + 0.760854i
\(305\) −23.9965 7.04602i −1.37404 0.403454i
\(306\) −7.33853 15.6191i −0.419516 0.892887i
\(307\) −2.64539 5.79259i −0.150980 0.330601i 0.818996 0.573799i \(-0.194531\pi\)
−0.969977 + 0.243198i \(0.921804\pi\)
\(308\) −6.07554 + 2.93530i −0.346186 + 0.167254i
\(309\) −8.02600 5.15799i −0.456583 0.293428i
\(310\) −53.8461 15.1790i −3.05825 0.862111i
\(311\) −19.7682 2.84224i −1.12095 0.161169i −0.443175 0.896435i \(-0.646148\pi\)
−0.677778 + 0.735266i \(0.737057\pi\)
\(312\) −1.34045 + 0.924343i −0.0758878 + 0.0523306i
\(313\) −16.7962 + 14.5540i −0.949379 + 0.822642i −0.984256 0.176750i \(-0.943442\pi\)
0.0348766 + 0.999392i \(0.488896\pi\)
\(314\) 5.83269 + 19.0966i 0.329158 + 1.07768i
\(315\) 9.70343 6.23601i 0.546726 0.351360i
\(316\) 11.3884 + 6.97496i 0.640647 + 0.392372i
\(317\) −10.2670 8.89640i −0.576652 0.499672i 0.317004 0.948424i \(-0.397323\pi\)
−0.893656 + 0.448753i \(0.851868\pi\)
\(318\) 8.02149 1.24215i 0.449823 0.0696563i
\(319\) 7.83522 17.1567i 0.438688 0.960592i
\(320\) 19.9034 26.2359i 1.11263 1.46663i
\(321\) 11.7205i 0.654172i
\(322\) −6.89485 4.23993i −0.384235 0.236282i
\(323\) −18.2129 −1.01339
\(324\) 0.859531 7.06097i 0.0477517 0.392276i
\(325\) −7.74594 3.53745i −0.429668 0.196223i
\(326\) 31.2663 4.84167i 1.73168 0.268155i
\(327\) 4.39190 5.06852i 0.242873 0.280290i
\(328\) −5.89241 4.77960i −0.325354 0.263909i
\(329\) −5.50912 8.57236i −0.303728 0.472609i
\(330\) 12.7095 3.88189i 0.699637 0.213691i
\(331\) 6.45977 + 7.45498i 0.355061 + 0.409763i 0.904979 0.425456i \(-0.139886\pi\)
−0.549918 + 0.835219i \(0.685341\pi\)
\(332\) 4.41520 3.99651i 0.242316 0.219337i
\(333\) 1.77107 12.3181i 0.0970541 0.675026i
\(334\) 14.1414 + 3.98640i 0.773780 + 0.218126i
\(335\) 17.0798 26.5766i 0.933167 1.45204i
\(336\) 0.713364 + 3.78823i 0.0389172 + 0.206665i
\(337\) 23.3059 10.6434i 1.26955 0.579785i 0.337234 0.941421i \(-0.390509\pi\)
0.932320 + 0.361636i \(0.117782\pi\)
\(338\) −15.9891 + 7.51238i −0.869695 + 0.408620i
\(339\) 1.41983 4.83548i 0.0771143 0.262627i
\(340\) 23.9072 + 35.4858i 1.29655 + 1.92449i
\(341\) −26.0665 + 7.65381i −1.41158 + 0.414477i
\(342\) −9.85651 6.18456i −0.532979 0.334423i
\(343\) −2.13589 14.8554i −0.115327 0.802118i
\(344\) 2.74449 6.56626i 0.147973 0.354029i
\(345\) 12.1416 + 10.3303i 0.653683 + 0.556162i
\(346\) −2.29293 + 17.2741i −0.123269 + 0.928661i
\(347\) 0.711400 + 4.94789i 0.0381899 + 0.265617i 0.999966 0.00821960i \(-0.00261641\pi\)
−0.961776 + 0.273836i \(0.911707\pi\)
\(348\) −8.29443 6.87828i −0.444628 0.368714i
\(349\) 6.95665 + 23.6922i 0.372381 + 1.26821i 0.906285 + 0.422668i \(0.138906\pi\)
−0.533903 + 0.845545i \(0.679275\pi\)
\(350\) −15.0920 + 13.3662i −0.806700 + 0.714456i
\(351\) 0.867360 2.95396i 0.0462962 0.157671i
\(352\) 1.41556 15.9288i 0.0754497 0.849006i
\(353\) −9.80516 21.4703i −0.521876 1.14275i −0.968724 0.248140i \(-0.920181\pi\)
0.446848 0.894610i \(-0.352546\pi\)
\(354\) −2.20638 3.35278i −0.117268 0.178198i
\(355\) 14.9958 23.3339i 0.795893 1.23843i
\(356\) −2.43675 1.04964i −0.129148 0.0556308i
\(357\) −4.95759 0.712794i −0.262384 0.0377251i
\(358\) 5.10368 + 4.32646i 0.269738 + 0.228661i
\(359\) −7.14000 8.24000i −0.376835 0.434891i 0.535375 0.844615i \(-0.320170\pi\)
−0.912210 + 0.409724i \(0.865625\pi\)
\(360\) 0.888251 + 27.3224i 0.0468149 + 1.44002i
\(361\) 5.65276 3.63281i 0.297514 0.191201i
\(362\) 9.42296 + 4.18056i 0.495260 + 0.219725i
\(363\) −1.59089 + 1.83599i −0.0835003 + 0.0963645i
\(364\) −0.0368632 1.70119i −0.00193215 0.0891664i
\(365\) 1.89849 4.15711i 0.0993715 0.217593i
\(366\) 0.0751598 + 6.93786i 0.00392866 + 0.362648i
\(367\) 24.7814 1.29358 0.646789 0.762669i \(-0.276111\pi\)
0.646789 + 0.762669i \(0.276111\pi\)
\(368\) 17.0088 8.87143i 0.886643 0.462455i
\(369\) 6.29824 0.327873
\(370\) 0.334248 + 30.8538i 0.0173767 + 1.60401i
\(371\) −3.52383 + 7.71611i −0.182948 + 0.400600i
\(372\) 0.336234 + 15.5168i 0.0174329 + 0.804507i
\(373\) 9.63463 11.1190i 0.498862 0.575718i −0.449350 0.893356i \(-0.648344\pi\)
0.948212 + 0.317638i \(0.102890\pi\)
\(374\) 18.9926 + 8.42620i 0.982085 + 0.435708i
\(375\) 19.4203 12.4806i 1.00286 0.644498i
\(376\) 24.1376 0.784713i 1.24480 0.0404685i
\(377\) 3.11481 + 3.59468i 0.160421 + 0.185135i
\(378\) −5.55973 4.71306i −0.285962 0.242414i
\(379\) −20.0784 2.88684i −1.03136 0.148287i −0.394205 0.919023i \(-0.628980\pi\)
−0.637155 + 0.770736i \(0.719889\pi\)
\(380\) 26.4971 + 11.4137i 1.35927 + 0.585510i
\(381\) 1.22938 1.91296i 0.0629833 0.0980039i
\(382\) −17.6347 26.7974i −0.902270 1.37107i
\(383\) −8.52665 18.6708i −0.435692 0.954032i −0.992369 0.123303i \(-0.960651\pi\)
0.556677 0.830729i \(-0.312076\pi\)
\(384\) −8.57397 3.15473i −0.437539 0.160989i
\(385\) −3.91260 + 13.3251i −0.199405 + 0.679110i
\(386\) −5.67859 + 5.02925i −0.289032 + 0.255982i
\(387\) 1.66440 + 5.66843i 0.0846062 + 0.288142i
\(388\) −5.64661 4.68254i −0.286663 0.237720i
\(389\) −1.87186 13.0191i −0.0949070 0.660093i −0.980629 0.195876i \(-0.937245\pi\)
0.885722 0.464217i \(-0.153664\pi\)
\(390\) −0.440975 + 3.32214i −0.0223296 + 0.168223i
\(391\) 3.76988 + 24.6382i 0.190651 + 1.24601i
\(392\) 14.5507 + 6.08175i 0.734922 + 0.307175i
\(393\) −2.14609 14.9264i −0.108256 0.752935i
\(394\) 10.2562 + 6.43534i 0.516700 + 0.324208i
\(395\) 26.3731 7.74385i 1.32698 0.389635i
\(396\) 7.41718 + 11.0094i 0.372727 + 0.553244i
\(397\) −1.22567 + 4.17425i −0.0615146 + 0.209500i −0.984515 0.175299i \(-0.943911\pi\)
0.923001 + 0.384798i \(0.125729\pi\)
\(398\) 2.04818 0.962321i 0.102666 0.0482368i
\(399\) −3.07197 + 1.40292i −0.153791 + 0.0702340i
\(400\) −8.84195 46.9540i −0.442098 2.34770i
\(401\) −15.2183 + 23.6802i −0.759968 + 1.18253i 0.218440 + 0.975850i \(0.429903\pi\)
−0.978408 + 0.206683i \(0.933733\pi\)
\(402\) −8.43554 2.37795i −0.420727 0.118601i
\(403\) 0.974999 6.78127i 0.0485682 0.337799i
\(404\) 12.4742 11.2913i 0.620614 0.561761i
\(405\) −9.58729 11.0643i −0.476396 0.549791i
\(406\) 10.7695 3.28935i 0.534482 0.163248i
\(407\) 8.10075 + 12.6050i 0.401539 + 0.624807i
\(408\) 7.47784 9.21887i 0.370208 0.456402i
\(409\) 2.83331 3.26982i 0.140098 0.161682i −0.681364 0.731944i \(-0.738613\pi\)
0.821463 + 0.570262i \(0.193158\pi\)
\(410\) −15.4320 + 2.38969i −0.762133 + 0.118018i
\(411\) −5.87316 2.68218i −0.289702 0.132302i
\(412\) −2.85534 + 23.4563i −0.140672 + 1.15561i
\(413\) 4.19440 0.206393
\(414\) −6.32621 + 14.6139i −0.310916 + 0.718234i
\(415\) 12.2573i 0.601688i
\(416\) 3.50564 + 1.99342i 0.171878 + 0.0977353i
\(417\) 3.90415 8.54890i 0.191187 0.418642i
\(418\) 13.8450 2.14394i 0.677182 0.104863i
\(419\) −19.9227 17.2631i −0.973289 0.843360i 0.0143830 0.999897i \(-0.495422\pi\)
−0.987672 + 0.156537i \(0.949967\pi\)
\(420\) 6.76585 + 4.14383i 0.330140 + 0.202198i
\(421\) −14.4693 + 9.29888i −0.705192 + 0.453199i −0.843458 0.537196i \(-0.819484\pi\)
0.138265 + 0.990395i \(0.455847\pi\)
\(422\) −1.00522 3.29116i −0.0489334 0.160211i
\(423\) −15.1510 + 13.1284i −0.736667 + 0.638325i
\(424\) −11.4128 16.5505i −0.554257 0.803762i
\(425\) 61.4480 + 8.83489i 2.98067 + 0.428555i
\(426\) −7.40628 2.08780i −0.358835 0.101154i
\(427\) −6.09972 3.92005i −0.295186 0.189705i
\(428\) −26.1379 + 12.6282i −1.26343 + 0.610405i
\(429\) 0.676043 + 1.48033i 0.0326397 + 0.0714709i
\(430\) −6.22886 13.2573i −0.300382 0.639325i
\(431\) 22.4035 + 6.57825i 1.07914 + 0.316863i 0.772533 0.634974i \(-0.218989\pi\)
0.306603 + 0.951837i \(0.400808\pi\)
\(432\) 16.3479 5.58005i 0.786540 0.268470i
\(433\) 1.25542 + 4.27557i 0.0603316 + 0.205471i 0.984143 0.177378i \(-0.0567614\pi\)
−0.923811 + 0.382848i \(0.874943\pi\)
\(434\) −13.7388 8.62056i −0.659485 0.413800i
\(435\) −21.9521 + 3.15624i −1.05252 + 0.151330i
\(436\) −16.0354 4.33338i −0.767957 0.207531i
\(437\) 11.1201 + 12.6015i 0.531945 + 0.602809i
\(438\) −1.25683 0.166830i −0.0600538 0.00797144i
\(439\) 23.9275 3.44026i 1.14200 0.164195i 0.454752 0.890618i \(-0.349728\pi\)
0.687247 + 0.726423i \(0.258819\pi\)
\(440\) −22.3509 24.1611i −1.06554 1.15184i
\(441\) −12.5611 + 3.68828i −0.598149 + 0.175632i
\(442\) −3.92257 + 3.47404i −0.186578 + 0.165243i
\(443\) −38.7090 11.3660i −1.83912 0.540014i −0.839127 0.543935i \(-0.816934\pi\)
−0.999992 + 0.00392070i \(0.998752\pi\)
\(444\) 8.15918 2.58903i 0.387218 0.122870i
\(445\) −4.96736 + 2.26852i −0.235475 + 0.107538i
\(446\) −11.6952 + 7.69632i −0.553783 + 0.364431i
\(447\) 9.46203 + 6.08088i 0.447539 + 0.287616i
\(448\) 7.67956 5.67249i 0.362825 0.268000i
\(449\) −4.67127 + 32.4894i −0.220451 + 1.53327i 0.515889 + 0.856656i \(0.327462\pi\)
−0.736339 + 0.676612i \(0.763447\pi\)
\(450\) 30.2545 + 25.6472i 1.42621 + 1.20902i
\(451\) −5.73096 + 4.96591i −0.269861 + 0.233835i
\(452\) −12.3134 + 2.04359i −0.579176 + 0.0961226i
\(453\) 10.4640 + 16.2824i 0.491643 + 0.765012i
\(454\) 9.34661 21.0672i 0.438658 0.988734i
\(455\) −2.64679 2.29346i −0.124084 0.107519i
\(456\) 0.881050 7.95526i 0.0412590 0.372539i
\(457\) −19.3315 8.82840i −0.904289 0.412975i −0.0916832 0.995788i \(-0.529225\pi\)
−0.812606 + 0.582813i \(0.801952\pi\)
\(458\) 0.0993077 + 9.16691i 0.00464034 + 0.428342i
\(459\) 22.4442i 1.04761i
\(460\) 9.95570 38.2074i 0.464187 1.78143i
\(461\) 30.0597i 1.40002i 0.714133 + 0.700010i \(0.246821\pi\)
−0.714133 + 0.700010i \(0.753179\pi\)
\(462\) 3.85254 0.0417357i 0.179237 0.00194172i
\(463\) −19.6764 8.98592i −0.914441 0.417611i −0.0980965 0.995177i \(-0.531275\pi\)
−0.816344 + 0.577566i \(0.804003\pi\)
\(464\) −6.40255 + 25.9085i −0.297231 + 1.20277i
\(465\) 24.1418 + 20.9190i 1.11955 + 0.970095i
\(466\) 5.12047 + 2.27173i 0.237201 + 0.105236i
\(467\) 0.587537 + 0.914225i 0.0271880 + 0.0423053i 0.854582 0.519317i \(-0.173814\pi\)
−0.827394 + 0.561623i \(0.810177\pi\)
\(468\) −3.30250 + 0.548098i −0.152658 + 0.0253358i
\(469\) 6.92193 5.99789i 0.319625 0.276957i
\(470\) 32.1419 37.9160i 1.48260 1.74893i
\(471\) 1.62258 11.2853i 0.0747645 0.519999i
\(472\) −5.09982 + 8.53291i −0.234738 + 0.392759i
\(473\) −5.98382 3.84557i −0.275136 0.176819i
\(474\) −4.19186 6.36988i −0.192539 0.292578i
\(475\) 38.0763 17.3889i 1.74706 0.797855i
\(476\) 3.75192 + 11.8240i 0.171969 + 0.541951i
\(477\) 16.0127 + 4.70175i 0.733170 + 0.215278i
\(478\) 13.2086 + 14.9140i 0.604146 + 0.682149i
\(479\) −21.6583 + 6.35946i −0.989595 + 0.290571i −0.736180 0.676786i \(-0.763372\pi\)
−0.253415 + 0.967358i \(0.581554\pi\)
\(480\) −16.6564 + 8.72585i −0.760257 + 0.398279i
\(481\) −3.74013 + 0.537749i −0.170535 + 0.0245193i
\(482\) −5.36173 + 40.3932i −0.244220 + 1.83986i
\(483\) 2.53372 + 3.86534i 0.115288 + 0.175879i
\(484\) 5.80856 + 1.56969i 0.264026 + 0.0713497i
\(485\) −14.9444 + 2.14868i −0.678590 + 0.0975665i
\(486\) −11.8967 + 18.9601i −0.539645 + 0.860048i
\(487\) 5.25503 + 17.8970i 0.238128 + 0.810990i 0.988662 + 0.150158i \(0.0479782\pi\)
−0.750534 + 0.660832i \(0.770204\pi\)
\(488\) 15.3912 7.64278i 0.696728 0.345972i
\(489\) −17.3339 5.08969i −0.783866 0.230164i
\(490\) 29.3780 13.8030i 1.32716 0.623557i
\(491\) −5.72312 12.5319i −0.258281 0.565556i 0.735421 0.677610i \(-0.236984\pi\)
−0.993702 + 0.112054i \(0.964257\pi\)
\(492\) 1.88463 + 3.90083i 0.0849656 + 0.175863i
\(493\) −29.1710 18.7471i −1.31380 0.844326i
\(494\) −0.958601 + 3.40054i −0.0431295 + 0.152998i
\(495\) 27.0443 + 3.88838i 1.21555 + 0.174770i
\(496\) 34.2419 17.4683i 1.53750 0.784350i
\(497\) 6.07735 5.26605i 0.272606 0.236215i
\(498\) −3.25216 + 0.993313i −0.145733 + 0.0445114i
\(499\) 7.03231 4.51939i 0.314810 0.202316i −0.373688 0.927554i \(-0.621907\pi\)
0.688498 + 0.725239i \(0.258271\pi\)
\(500\) −48.7575 29.8621i −2.18050 1.33548i
\(501\) −6.34025 5.49386i −0.283261 0.245447i
\(502\) 1.49760 + 9.67109i 0.0668410 + 0.431642i
\(503\) 2.78233 6.09245i 0.124058 0.271649i −0.837405 0.546582i \(-0.815929\pi\)
0.961463 + 0.274933i \(0.0886558\pi\)
\(504\) −1.98459 + 7.67296i −0.0884008 + 0.341781i
\(505\) 34.6303i 1.54103i
\(506\) −5.76606 18.2856i −0.256333 0.812894i
\(507\) 10.0872 0.447990
\(508\) −5.59071 0.680556i −0.248047 0.0301948i
\(509\) 4.18464 + 1.91106i 0.185481 + 0.0847064i 0.505991 0.862539i \(-0.331127\pi\)
−0.320510 + 0.947245i \(0.603854\pi\)
\(510\) −3.73875 24.1439i −0.165554 1.06911i
\(511\) 0.867663 1.00134i 0.0383832 0.0442965i
\(512\) 2.20258 + 22.5200i 0.0973413 + 0.995251i
\(513\) 8.18184 + 12.7312i 0.361237 + 0.562096i
\(514\) −6.55590 21.4644i −0.289168 0.946754i
\(515\) 31.8487 + 36.7553i 1.40342 + 1.61963i
\(516\) −3.01272 + 2.72702i −0.132627 + 0.120050i
\(517\) 3.43514 23.8919i 0.151077 1.05076i
\(518\) −2.42715 + 8.61007i −0.106643 + 0.378305i
\(519\) 5.37935 8.37043i 0.236127 0.367421i
\(520\) 7.88386 2.59600i 0.345730 0.113842i
\(521\) −3.65148 + 1.66758i −0.159974 + 0.0730579i −0.493793 0.869579i \(-0.664390\pi\)
0.333819 + 0.942637i \(0.391663\pi\)
\(522\) −9.42089 20.0512i −0.412341 0.877615i
\(523\) −8.70610 + 29.6503i −0.380691 + 1.29652i 0.517036 + 0.855964i \(0.327035\pi\)
−0.897727 + 0.440552i \(0.854783\pi\)
\(524\) −30.9751 + 20.8683i −1.35316 + 0.911637i
\(525\) 11.0450 3.24310i 0.482042 0.141540i
\(526\) 11.4577 18.2605i 0.499580 0.796196i
\(527\) 7.10798 + 49.4371i 0.309629 + 2.15351i
\(528\) −4.59926 + 7.88821i −0.200157 + 0.343290i
\(529\) 14.7454 17.6515i 0.641103 0.767455i
\(530\) −41.0184 5.44471i −1.78172 0.236503i
\(531\) −1.17438 8.16801i −0.0509638 0.354461i
\(532\) 6.43856 + 5.33927i 0.279147 + 0.231487i
\(533\) −0.538766 1.83487i −0.0233366 0.0794770i
\(534\) 1.00444 + 1.13412i 0.0434663 + 0.0490784i
\(535\) −16.8326 + 57.3267i −0.727739 + 2.47845i
\(536\) 3.78574 + 21.3743i 0.163519 + 0.923230i
\(537\) −1.58704 3.47514i −0.0684860 0.149963i
\(538\) −21.1464 + 13.9159i −0.911684 + 0.599957i
\(539\) 8.52170 13.2600i 0.367056 0.571150i
\(540\) 14.0654 32.6530i 0.605277 1.40516i
\(541\) −32.5148 4.67492i −1.39792 0.200991i −0.598192 0.801353i \(-0.704114\pi\)
−0.799728 + 0.600362i \(0.795023\pi\)
\(542\) 4.01732 4.73900i 0.172559 0.203558i
\(543\) −3.85466 4.44851i −0.165419 0.190904i
\(544\) −28.6161 6.74359i −1.22690 0.289129i
\(545\) −28.7608 + 18.4834i −1.23198 + 0.791744i
\(546\) −0.394019 + 0.888117i −0.0168625 + 0.0380079i
\(547\) −0.323566 + 0.373415i −0.0138347 + 0.0159661i −0.762625 0.646841i \(-0.776090\pi\)
0.748790 + 0.662807i \(0.230635\pi\)
\(548\) 0.346439 + 15.9877i 0.0147991 + 0.682961i
\(549\) −5.92591 + 12.9759i −0.252912 + 0.553799i
\(550\) −47.7512 + 0.517302i −2.03612 + 0.0220578i
\(551\) −23.3810 −0.996062
\(552\) −10.9442 + 0.454778i −0.465814 + 0.0193567i
\(553\) 7.96886 0.338870
\(554\) 35.3920 0.383411i 1.50366 0.0162896i
\(555\) 7.31897 16.0263i 0.310673 0.680279i
\(556\) −23.2715 + 0.504273i −0.986932 + 0.0213859i
\(557\) 11.5346 13.3116i 0.488735 0.564031i −0.456792 0.889574i \(-0.651002\pi\)
0.945527 + 0.325543i \(0.105547\pi\)
\(558\) −12.9406 + 29.1681i −0.547820 + 1.23478i
\(559\) 1.50901 0.969781i 0.0638243 0.0410174i
\(560\) 1.95138 19.5534i 0.0824608 0.826280i
\(561\) −7.76932 8.96628i −0.328021 0.378557i
\(562\) 7.45368 8.79268i 0.314415 0.370897i
\(563\) 22.7721 + 3.27413i 0.959728 + 0.137988i 0.604336 0.796730i \(-0.293438\pi\)
0.355392 + 0.934718i \(0.384348\pi\)
\(564\) −12.6648 5.45538i −0.533283 0.229713i
\(565\) −13.8892 + 21.6120i −0.584323 + 0.909225i
\(566\) −26.7920 + 17.6312i −1.12615 + 0.741094i
\(567\) −1.76322 3.86090i −0.0740481 0.162143i
\(568\) 3.32382 + 18.7663i 0.139464 + 0.787417i
\(569\) 8.33927 28.4010i 0.349601 1.19063i −0.577680 0.816263i \(-0.696042\pi\)
0.927281 0.374367i \(-0.122140\pi\)
\(570\) −10.9222 12.3324i −0.457480 0.516546i
\(571\) 0.249652 + 0.850236i 0.0104476 + 0.0355813i 0.964552 0.263893i \(-0.0850067\pi\)
−0.954104 + 0.299475i \(0.903189\pi\)
\(572\) 2.57290 3.10262i 0.107578 0.129727i
\(573\) 2.60680 + 18.1307i 0.108901 + 0.757422i
\(574\) −4.48799 0.595728i −0.187325 0.0248652i
\(575\) −31.4048 47.9098i −1.30967 1.99798i
\(576\) −13.1966 13.3667i −0.549857 0.556944i
\(577\) −1.20410 8.37468i −0.0501272 0.348642i −0.999414 0.0342308i \(-0.989102\pi\)
0.949287 0.314412i \(-0.101807\pi\)
\(578\) 7.52483 11.9925i 0.312991 0.498824i
\(579\) 4.15584 1.22026i 0.172711 0.0507124i
\(580\) 30.6910 + 45.5551i 1.27437 + 1.89157i
\(581\) 1.00117 3.40968i 0.0415356 0.141457i
\(582\) 1.78117 + 3.79099i 0.0738317 + 0.157141i
\(583\) −18.2776 + 8.34709i −0.756980 + 0.345701i
\(584\) 0.982119 + 2.98263i 0.0406404 + 0.123422i
\(585\) −3.72512 + 5.79641i −0.154015 + 0.239652i
\(586\) −3.41761 + 12.1236i −0.141180 + 0.500822i
\(587\) −0.522558 + 3.63447i −0.0215683 + 0.150011i −0.997760 0.0669003i \(-0.978689\pi\)
0.976191 + 0.216911i \(0.0695981\pi\)
\(588\) −6.04303 6.67612i −0.249210 0.275319i
\(589\) 22.0538 + 25.4514i 0.908710 + 1.04871i
\(590\) 5.97660 + 19.5677i 0.246053 + 0.805591i
\(591\) −3.73778 5.81610i −0.153752 0.239242i
\(592\) −14.5649 15.4064i −0.598613 0.633197i
\(593\) −9.89913 + 11.4242i −0.406509 + 0.469136i −0.921680 0.387951i \(-0.873183\pi\)
0.515171 + 0.857087i \(0.327728\pi\)
\(594\) −2.64203 17.0615i −0.108404 0.700043i
\(595\) 23.2247 + 10.6064i 0.952120 + 0.434819i
\(596\) 3.36622 27.6532i 0.137886 1.13272i
\(597\) −1.29215 −0.0528844
\(598\) 4.79863 + 0.592909i 0.196231 + 0.0242459i
\(599\) 22.1795i 0.906230i −0.891452 0.453115i \(-0.850313\pi\)
0.891452 0.453115i \(-0.149687\pi\)
\(600\) −6.83156 + 26.4126i −0.278897 + 1.07829i
\(601\) 1.58629 3.47349i 0.0647062 0.141687i −0.874516 0.484997i \(-0.838821\pi\)
0.939222 + 0.343310i \(0.111548\pi\)
\(602\) −0.649859 4.19663i −0.0264863 0.171042i
\(603\) −13.6181 11.8002i −0.554573 0.480540i
\(604\) 25.0371 40.8793i 1.01874 1.66336i
\(605\) 10.4181 6.69533i 0.423557 0.272204i
\(606\) −9.18827 + 2.80639i −0.373248 + 0.114002i
\(607\) −12.3682 + 10.7171i −0.502011 + 0.434995i −0.868693 0.495352i \(-0.835039\pi\)
0.366682 + 0.930346i \(0.380494\pi\)
\(608\) −18.6904 + 6.60652i −0.757996 + 0.267930i
\(609\) −6.36434 0.915054i −0.257896 0.0370799i
\(610\) 9.59637 34.0422i 0.388546 1.37833i
\(611\) 5.12076 + 3.29091i 0.207164 + 0.133136i
\(612\) 21.9751 10.6169i 0.888290 0.429164i
\(613\) 12.9868 + 28.4372i 0.524533 + 1.14857i 0.967695 + 0.252125i \(0.0811294\pi\)
−0.443162 + 0.896442i \(0.646143\pi\)
\(614\) 8.15096 3.82967i 0.328946 0.154553i
\(615\) 8.55545 + 2.51211i 0.344989 + 0.101298i
\(616\) −4.24398 8.54664i −0.170995 0.344354i
\(617\) −5.36584 18.2744i −0.216021 0.735699i −0.994190 0.107644i \(-0.965669\pi\)
0.778169 0.628055i \(-0.216149\pi\)
\(618\) 7.17112 11.4288i 0.288465 0.459735i
\(619\) −28.2982 + 4.06867i −1.13740 + 0.163534i −0.685181 0.728373i \(-0.740277\pi\)
−0.452220 + 0.891906i \(0.649368\pi\)
\(620\) 20.6402 76.3780i 0.828932 3.06741i
\(621\) 15.5291 13.7035i 0.623160 0.549903i
\(622\) 3.71646 27.9984i 0.149016 1.12263i
\(623\) −1.56709 + 0.225313i −0.0627840 + 0.00902698i
\(624\) −1.32768 1.88141i −0.0531496 0.0753165i
\(625\) −55.6072 + 16.3277i −2.22429 + 0.653110i
\(626\) −20.8386 23.5291i −0.832878 0.940412i
\(627\) −7.67563 2.25377i −0.306535 0.0900068i
\(628\) −26.9157 + 8.54074i −1.07405 + 0.340813i
\(629\) 25.0575 11.4434i 0.999108 0.456277i
\(630\) 8.96719 + 13.6264i 0.357261 + 0.542888i
\(631\) −1.52426 0.979580i −0.0606797 0.0389965i 0.509949 0.860204i \(-0.329664\pi\)
−0.570629 + 0.821208i \(0.693301\pi\)
\(632\) −9.68904 + 16.2115i −0.385409 + 0.644860i
\(633\) −0.279640 + 1.94494i −0.0111147 + 0.0773043i
\(634\) 12.4234 14.6552i 0.493396 0.582031i
\(635\) −8.76047 + 7.59099i −0.347649 + 0.301239i
\(636\) 1.87945 + 11.3244i 0.0745250 + 0.449042i
\(637\) 2.14902 + 3.34394i 0.0851472 + 0.132492i
\(638\) 24.3819 + 10.8172i 0.965288 + 0.428256i
\(639\) −11.9565 10.3604i −0.472992 0.409850i
\(640\) 37.4060 + 27.7440i 1.47860 + 1.09668i
\(641\) 39.5086 + 18.0430i 1.56049 + 0.712654i 0.993790 0.111268i \(-0.0354911\pi\)
0.566704 + 0.823922i \(0.308218\pi\)
\(642\) 16.5743 0.179554i 0.654134 0.00708641i
\(643\) 39.4803i 1.55695i 0.627675 + 0.778476i \(0.284007\pi\)
−0.627675 + 0.778476i \(0.715993\pi\)
\(644\) 5.89019 9.81518i 0.232106 0.386772i
\(645\) 8.36378i 0.329324i
\(646\) −0.279016 25.7555i −0.0109777 1.01334i
\(647\) 27.6406 + 12.6230i 1.08666 + 0.496263i 0.876499 0.481403i \(-0.159873\pi\)
0.210165 + 0.977666i \(0.432600\pi\)
\(648\) 9.99830 + 1.10732i 0.392770 + 0.0434995i
\(649\) 7.50875 + 6.50637i 0.294744 + 0.255397i
\(650\) 4.88376 11.0080i 0.191557 0.431768i
\(651\) 5.00699 + 7.79103i 0.196240 + 0.305355i
\(652\) 7.32574 + 44.1404i 0.286898 + 1.72867i
\(653\) 23.5796 20.4319i 0.922742 0.799561i −0.0572985 0.998357i \(-0.518249\pi\)
0.980041 + 0.198796i \(0.0637032\pi\)
\(654\) 7.23484 + 6.13307i 0.282904 + 0.239822i
\(655\) −10.9400 + 76.0894i −0.427461 + 2.97306i
\(656\) 6.66871 8.40586i 0.260369 0.328194i
\(657\) −2.19290 1.40929i −0.0855532 0.0549817i
\(658\) 12.0380 7.92194i 0.469292 0.308829i
\(659\) 1.13636 0.518957i 0.0442662 0.0202157i −0.393159 0.919471i \(-0.628618\pi\)
0.437425 + 0.899255i \(0.355890\pi\)
\(660\) 5.68420 + 17.9135i 0.221257 + 0.697281i
\(661\) −31.4962 9.24813i −1.22506 0.359711i −0.395678 0.918389i \(-0.629490\pi\)
−0.829384 + 0.558679i \(0.811308\pi\)
\(662\) −10.4433 + 9.24917i −0.405892 + 0.359479i
\(663\) 2.87071 0.842917i 0.111489 0.0327362i
\(664\) 5.71922 + 6.18245i 0.221949 + 0.239926i
\(665\) 17.0404 2.45004i 0.660797 0.0950083i
\(666\) 17.4465 + 2.31582i 0.676038 + 0.0897361i
\(667\) 4.83961 + 31.6295i 0.187390 + 1.22470i
\(668\) −5.42065 + 20.0588i −0.209731 + 0.776098i
\(669\) 7.91280 1.13769i 0.305926 0.0439856i
\(670\) 37.8445 + 23.7459i 1.46206 + 0.917383i
\(671\) −4.83883 16.4795i −0.186801 0.636186i
\(672\) −5.34612 + 1.06682i −0.206231 + 0.0411536i
\(673\) 39.5244 + 11.6054i 1.52355 + 0.447356i 0.933070 0.359694i \(-0.117119\pi\)
0.590484 + 0.807050i \(0.298937\pi\)
\(674\) 15.4083 + 32.7945i 0.593504 + 1.26320i
\(675\) −21.4287 46.9223i −0.824791 1.80604i
\(676\) −10.8684 22.4957i −0.418017 0.865218i
\(677\) −19.5543 12.5668i −0.751533 0.482981i 0.107943 0.994157i \(-0.465574\pi\)
−0.859476 + 0.511176i \(0.829210\pi\)
\(678\) 6.85975 + 1.93374i 0.263447 + 0.0742649i
\(679\) −4.33266 0.622943i −0.166272 0.0239063i
\(680\) −49.8153 + 34.3515i −1.91033 + 1.31732i
\(681\) −9.94569 + 8.61799i −0.381120 + 0.330242i
\(682\) −11.2228 36.7441i −0.429744 1.40701i
\(683\) 22.4017 14.3967i 0.857176 0.550874i −0.0366289 0.999329i \(-0.511662\pi\)
0.893805 + 0.448455i \(0.148026\pi\)
\(684\) 8.59477 14.0331i 0.328629 0.536570i
\(685\) 24.8745 + 21.5539i 0.950406 + 0.823531i
\(686\) 20.9748 3.24801i 0.800822 0.124009i
\(687\) 2.17452 4.76154i 0.0829632 0.181664i
\(688\) 9.32759 + 3.78048i 0.355611 + 0.144129i
\(689\) 5.06718i 0.193044i
\(690\) −14.4223 + 17.3281i −0.549048 + 0.659669i
\(691\) −33.1676 −1.26176 −0.630878 0.775882i \(-0.717305\pi\)
−0.630878 + 0.775882i \(0.717305\pi\)
\(692\) −24.4630 2.97787i −0.929942 0.113202i
\(693\) 7.20544 + 3.29061i 0.273712 + 0.125000i
\(694\) −6.98607 + 1.08181i −0.265188 + 0.0410650i
\(695\) −31.3736 + 36.2071i −1.19007 + 1.37341i
\(696\) 9.59972 11.8348i 0.363876 0.448596i
\(697\) 7.53727 + 11.7282i 0.285495 + 0.444238i
\(698\) −33.3973 + 10.2006i −1.26411 + 0.386097i
\(699\) −2.09463 2.41734i −0.0792264 0.0914321i
\(700\) −19.1328 21.1373i −0.723152 0.798914i
\(701\) 3.75112 26.0896i 0.141678 0.985391i −0.787647 0.616127i \(-0.788701\pi\)
0.929325 0.369264i \(-0.120390\pi\)
\(702\) 4.19057 + 1.18131i 0.158163 + 0.0445855i
\(703\) 10.0420 15.6256i 0.378740 0.589331i
\(704\) 22.5470 + 1.75777i 0.849773 + 0.0662483i
\(705\) −25.8173 + 11.7904i −0.972336 + 0.444051i
\(706\) 30.2116 14.1947i 1.13703 0.534225i
\(707\) 2.82859 9.63330i 0.106380 0.362297i
\(708\) 4.70747 3.17148i 0.176917 0.119191i
\(709\) 13.9454 4.09473i 0.523729 0.153781i −0.00917268 0.999958i \(-0.502920\pi\)
0.532902 + 0.846177i \(0.321102\pi\)
\(710\) 33.2269 + 20.8485i 1.24698 + 0.782431i
\(711\) −2.23119 15.5182i −0.0836760 0.581980i
\(712\) 1.44700 3.46197i 0.0542285 0.129743i
\(713\) 29.8655 35.1023i 1.11847 1.31459i
\(714\) 0.932035 7.02160i 0.0348805 0.262777i
\(715\) −1.18063 8.21144i −0.0441530 0.307091i
\(716\) −6.04000 + 7.28355i −0.225725 + 0.272199i
\(717\) −3.20484 10.9147i −0.119687 0.407616i
\(718\) 11.5431 10.2231i 0.430783 0.381524i
\(719\) 7.73922 26.3574i 0.288624 0.982964i −0.679746 0.733447i \(-0.737910\pi\)
0.968371 0.249516i \(-0.0802717\pi\)
\(720\) −38.6238 + 1.67467i −1.43943 + 0.0624114i
\(721\) 5.85735 + 12.8258i 0.218139 + 0.477658i
\(722\) 5.22387 + 7.93809i 0.194412 + 0.295425i
\(723\) 12.5789 19.5732i 0.467815 0.727934i
\(724\) −5.76750 + 13.3893i −0.214347 + 0.497611i
\(725\) 78.8842 + 11.3418i 2.92969 + 0.421225i
\(726\) −2.62070 2.22161i −0.0972633 0.0824515i
\(727\) 2.95158 + 3.40630i 0.109468 + 0.126333i 0.807839 0.589403i \(-0.200637\pi\)
−0.698371 + 0.715736i \(0.746092\pi\)
\(728\) 2.40513 0.0781909i 0.0891402 0.00289795i
\(729\) 1.77606 1.14140i 0.0657799 0.0422742i
\(730\) 5.90778 + 2.62103i 0.218657 + 0.0970085i
\(731\) −8.56360 + 9.88292i −0.316736 + 0.365533i
\(732\) −9.80989 + 0.212571i −0.362584 + 0.00785687i
\(733\) −5.09019 + 11.1460i −0.188010 + 0.411686i −0.980041 0.198796i \(-0.936297\pi\)
0.792030 + 0.610482i \(0.209024\pi\)
\(734\) 0.379643 + 35.0441i 0.0140129 + 1.29350i
\(735\) −18.5340 −0.683637
\(736\) 12.8059 + 23.9167i 0.472033 + 0.881581i
\(737\) 21.6955 0.799164
\(738\) 0.0964869 + 8.90653i 0.00355173 + 0.327854i
\(739\) −9.60690 + 21.0362i −0.353395 + 0.773828i 0.646545 + 0.762876i \(0.276213\pi\)
−0.999940 + 0.0109519i \(0.996514\pi\)
\(740\) −43.6262 + 0.945341i −1.60373 + 0.0347514i
\(741\) 1.32110 1.52463i 0.0485317 0.0560086i
\(742\) −10.9656 4.86494i −0.402559 0.178598i
\(743\) 18.3382 11.7852i 0.672761 0.432358i −0.159159 0.987253i \(-0.550878\pi\)
0.831920 + 0.554895i \(0.187242\pi\)
\(744\) −21.9376 + 0.713191i −0.804271 + 0.0261468i
\(745\) −37.5471 43.3317i −1.37562 1.58755i
\(746\) 15.8713 + 13.4543i 0.581088 + 0.492596i
\(747\) −6.92019 0.994974i −0.253197 0.0364042i
\(748\) −11.6248 + 26.9871i −0.425044 + 0.986747i
\(749\) −9.36484 + 14.5720i −0.342184 + 0.532449i
\(750\) 17.9468 + 27.2716i 0.655323 + 0.995817i
\(751\) −5.50378 12.0516i −0.200836 0.439769i 0.782238 0.622980i \(-0.214078\pi\)
−0.983074 + 0.183211i \(0.941351\pi\)
\(752\) 1.47947 + 34.1217i 0.0539506 + 1.24429i
\(753\) 1.57431 5.36162i 0.0573712 0.195388i
\(754\) −5.03563 + 4.45981i −0.183387 + 0.162417i
\(755\) −27.7970 94.6679i −1.01164 3.44532i
\(756\) 6.57971 7.93438i 0.239302 0.288571i
\(757\) −5.28664 36.7694i −0.192146 1.33641i −0.826313 0.563211i \(-0.809566\pi\)
0.634167 0.773196i \(-0.281343\pi\)
\(758\) 3.77478 28.4377i 0.137106 1.03291i
\(759\) −1.46010 + 10.8500i −0.0529982 + 0.393830i
\(760\) −15.7345 + 37.6452i −0.570751 + 1.36553i
\(761\) 1.05725 + 7.35331i 0.0383252 + 0.266557i 0.999970 0.00774013i \(-0.00246378\pi\)
−0.961645 + 0.274298i \(0.911555\pi\)
\(762\) 2.72401 + 1.70920i 0.0986804 + 0.0619179i
\(763\) −9.51026 + 2.79246i −0.344294 + 0.101094i
\(764\) 37.6248 25.3483i 1.36122 0.917070i
\(765\) 14.1518 48.1966i 0.511659 1.74255i
\(766\) 26.2723 12.3438i 0.949256 0.446001i
\(767\) −2.27913 + 1.04084i −0.0822946 + 0.0375827i
\(768\) 4.32985 12.1730i 0.156240 0.439257i
\(769\) 24.8001 38.5898i 0.894316 1.39158i −0.0256872 0.999670i \(-0.508177\pi\)
0.920003 0.391912i \(-0.128186\pi\)
\(770\) −18.9034 5.32880i −0.681230 0.192036i
\(771\) −1.82377 + 12.6846i −0.0656814 + 0.456824i
\(772\) −7.19901 7.95321i −0.259098 0.286242i
\(773\) 19.0673 + 22.0049i 0.685804 + 0.791460i 0.986762 0.162177i \(-0.0518517\pi\)
−0.300957 + 0.953638i \(0.597306\pi\)
\(774\) −7.99040 + 2.44052i −0.287209 + 0.0877226i
\(775\) −62.0603 96.5677i −2.22927 3.46882i
\(776\) 6.53521 8.05678i 0.234601 0.289221i
\(777\) 3.34497 3.86031i 0.120000 0.138488i
\(778\) 18.3820 2.84650i 0.659026 0.102052i
\(779\) 8.55085 + 3.90504i 0.306366 + 0.139913i
\(780\) −4.70469 0.572702i −0.168455 0.0205060i
\(781\) 19.0483 0.681602
\(782\) −34.7839 + 5.70855i −1.24387 + 0.204137i
\(783\) 28.8129i 1.02969i
\(784\) −8.37747 + 20.6698i −0.299196 + 0.738206i
\(785\) −24.1440 + 52.8679i −0.861735 + 1.88694i
\(786\) 21.0749 3.26351i 0.751718 0.116406i
\(787\) 1.50866 + 1.30726i 0.0537778 + 0.0465988i 0.681335 0.731972i \(-0.261400\pi\)
−0.627557 + 0.778570i \(0.715945\pi\)
\(788\) −8.94329 + 14.6022i −0.318592 + 0.520181i
\(789\) −10.3552 + 6.65488i −0.368655 + 0.236920i
\(790\) 11.3548 + 37.1764i 0.403987 + 1.32268i
\(791\) −5.62889 + 4.87746i −0.200140 + 0.173423i
\(792\) −15.4551 + 10.6575i −0.549174 + 0.378698i
\(793\) 4.28720 + 0.616406i 0.152243 + 0.0218892i
\(794\) −5.92171 1.66931i −0.210154 0.0592416i
\(795\) 19.8761 + 12.7736i 0.704932 + 0.453033i
\(796\) 1.39223 + 2.88165i 0.0493461 + 0.102137i
\(797\) −7.95369 17.4161i −0.281734 0.616912i 0.714870 0.699258i \(-0.246486\pi\)
−0.996604 + 0.0823461i \(0.973759\pi\)
\(798\) −2.03098 4.32268i −0.0718959 0.153021i
\(799\) −42.5786 12.5022i −1.50632 0.442296i
\(800\) 66.2637 13.2230i 2.34278 0.467503i
\(801\) 0.877532 + 2.98860i 0.0310061 + 0.105597i
\(802\) −33.7200 21.1580i −1.19070 0.747113i
\(803\) 3.10656 0.446656i 0.109628 0.0157621i
\(804\) 3.23350 11.9654i 0.114037 0.421987i
\(805\) −6.84155 22.5449i −0.241133 0.794603i
\(806\) 9.60453 + 1.27489i 0.338305 + 0.0449061i
\(807\) 14.3073 2.05708i 0.503641 0.0724127i
\(808\) 16.1584 + 17.4672i 0.568451 + 0.614492i
\(809\) −17.8751 + 5.24860i −0.628455 + 0.184531i −0.580424 0.814315i \(-0.697113\pi\)
−0.0480316 + 0.998846i \(0.515295\pi\)
\(810\) 15.4995 13.7272i 0.544598 0.482324i
\(811\) 33.9651 + 9.97305i 1.19268 + 0.350201i 0.817048 0.576569i \(-0.195609\pi\)
0.375628 + 0.926771i \(0.377427\pi\)
\(812\) 4.81655 + 15.1791i 0.169028 + 0.532682i
\(813\) −3.22683 + 1.47364i −0.113170 + 0.0516829i
\(814\) −17.7010 + 11.6486i −0.620421 + 0.408284i
\(815\) 77.4733 + 49.7891i 2.71377 + 1.74403i
\(816\) 13.1512 + 10.4334i 0.460385 + 0.365242i
\(817\) −1.25486 + 8.72774i −0.0439020 + 0.305345i
\(818\) 4.66735 + 3.95658i 0.163190 + 0.138339i
\(819\) −1.50968 + 1.30815i −0.0527527 + 0.0457104i
\(820\) −3.61575 21.7863i −0.126267 0.760809i
\(821\) 1.49445 + 2.32541i 0.0521567 + 0.0811574i 0.866353 0.499433i \(-0.166458\pi\)
−0.814196 + 0.580590i \(0.802822\pi\)
\(822\) 3.70298 8.34650i 0.129156 0.291118i
\(823\) 7.36039 + 6.37781i 0.256567 + 0.222316i 0.773641 0.633624i \(-0.218433\pi\)
−0.517074 + 0.855941i \(0.672979\pi\)
\(824\) −33.2140 3.67848i −1.15707 0.128146i
\(825\) 24.8033 + 11.3273i 0.863539 + 0.394365i
\(826\) 0.0642568 + 5.93143i 0.00223578 + 0.206381i
\(827\) 7.74380i 0.269278i 0.990895 + 0.134639i \(0.0429875\pi\)
−0.990895 + 0.134639i \(0.957012\pi\)
\(828\) −20.7629 8.72220i −0.721560 0.303117i
\(829\) 6.21644i 0.215906i 0.994156 + 0.107953i \(0.0344296\pi\)
−0.994156 + 0.107953i \(0.965570\pi\)
\(830\) 17.3334 0.187778i 0.601653 0.00651787i
\(831\) −18.3835 8.39548i −0.637718 0.291236i
\(832\) −2.76525 + 4.98798i −0.0958677 + 0.172927i
\(833\) −21.9004 18.9768i −0.758803 0.657506i
\(834\) 12.1491 + 5.39002i 0.420688 + 0.186641i
\(835\) 23.1211 + 35.9771i 0.800137 + 1.24504i
\(836\) 3.24391 + 19.5458i 0.112193 + 0.676006i
\(837\) 31.3644 27.1774i 1.08411 0.939388i
\(838\) 24.1071 28.4378i 0.832767 0.982368i
\(839\) 7.53767 52.4256i 0.260229 1.80993i −0.270862 0.962618i \(-0.587309\pi\)
0.531091 0.847315i \(-0.321782\pi\)
\(840\) −5.75627 + 9.63128i −0.198610 + 0.332311i
\(841\) −13.0521 8.38808i −0.450073 0.289244i
\(842\) −13.3715 20.3191i −0.460812 0.700241i
\(843\) −5.98701 + 2.73418i −0.206204 + 0.0941700i
\(844\) 4.63872 1.47193i 0.159671 0.0506661i
\(845\) −49.3383 14.4870i −1.69729 0.498369i
\(846\) −18.7974 21.2244i −0.646268 0.729709i
\(847\) 3.44493 1.01152i 0.118369 0.0347564i
\(848\) 23.2297 16.3928i 0.797711 0.562931i
\(849\) 18.1271 2.60628i 0.622120 0.0894474i
\(850\) −11.5523 + 87.0309i −0.396241 + 2.98513i
\(851\) −23.2167 10.3503i −0.795859 0.354804i
\(852\) 2.83897 10.5054i 0.0972614 0.359910i
\(853\) −6.99405 + 1.00559i −0.239472 + 0.0344308i −0.261006 0.965337i \(-0.584054\pi\)
0.0215339 + 0.999768i \(0.493145\pi\)
\(854\) 5.45002 8.68586i 0.186496 0.297224i
\(855\) −9.54221 32.4978i −0.326337 1.11140i
\(856\) −18.2583 36.7690i −0.624055 1.25674i
\(857\) −17.2505 5.06521i −0.589267 0.173024i −0.0265123 0.999648i \(-0.508440\pi\)
−0.562754 + 0.826624i \(0.690258\pi\)
\(858\) −2.08302 + 0.978691i −0.0711131 + 0.0334120i
\(859\) 3.71945 + 8.14446i 0.126906 + 0.277885i 0.962411 0.271598i \(-0.0875520\pi\)
−0.835505 + 0.549483i \(0.814825\pi\)
\(860\) 18.6522 9.01151i 0.636034 0.307290i
\(861\) 2.17472 + 1.39761i 0.0741144 + 0.0476304i
\(862\) −8.95929 + 31.7822i −0.305155 + 1.08251i
\(863\) −7.61226 1.09448i −0.259124 0.0372564i 0.0115283 0.999934i \(-0.496330\pi\)
−0.270653 + 0.962677i \(0.587239\pi\)
\(864\) 8.14136 + 23.0326i 0.276975 + 0.783586i
\(865\) −38.3327 + 33.2155i −1.30335 + 1.12936i
\(866\) −6.02698 + 1.84083i −0.204805 + 0.0625539i
\(867\) −6.80074 + 4.37057i −0.230965 + 0.148432i
\(868\) 11.9801 19.5606i 0.406632 0.663929i
\(869\) 14.2657 + 12.3613i 0.483932 + 0.419329i
\(870\) −4.79964 30.9948i −0.162723 1.05082i
\(871\) −2.27282 + 4.97679i −0.0770117 + 0.168632i
\(872\) 5.88230 22.7425i 0.199200 0.770160i
\(873\) 8.61167i 0.291461i
\(874\) −17.6497 + 15.9183i −0.597011 + 0.538444i
\(875\) −34.1173 −1.15338
\(876\) 0.216665 1.77988i 0.00732043 0.0601366i
\(877\) −39.7525 18.1544i −1.34235 0.613030i −0.390784 0.920482i \(-0.627796\pi\)
−0.951563 + 0.307453i \(0.900523\pi\)
\(878\) 5.23154 + 33.7840i 0.176556 + 1.14015i
\(879\) 4.70998 5.43560i 0.158864 0.183338i
\(880\) 33.8246 31.9772i 1.14023 1.07795i
\(881\) −31.3564 48.7916i −1.05643 1.64383i −0.707553 0.706660i \(-0.750201\pi\)
−0.348872 0.937170i \(-0.613435\pi\)
\(882\) −5.40814 17.7066i −0.182102 0.596212i
\(883\) 3.82208 + 4.41091i 0.128623 + 0.148439i 0.816408 0.577476i \(-0.195962\pi\)
−0.687785 + 0.725915i \(0.741417\pi\)
\(884\) −4.97283 5.49381i −0.167254 0.184777i
\(885\) 1.66261 11.5637i 0.0558882 0.388711i
\(886\) 15.4800 54.9137i 0.520060 1.84486i
\(887\) −19.2756 + 29.9934i −0.647212 + 1.00708i 0.350304 + 0.936636i \(0.386078\pi\)
−0.997516 + 0.0704448i \(0.977558\pi\)
\(888\) 3.78622 + 11.4985i 0.127057 + 0.385864i
\(889\) −3.05697 + 1.39607i −0.102528 + 0.0468228i
\(890\) −3.28408 6.98974i −0.110083 0.234297i
\(891\) 2.83257 9.64685i 0.0948946 0.323181i
\(892\) −11.0628 16.4206i −0.370409 0.549803i
\(893\) −28.7097 + 8.42994i −0.960735 + 0.282097i
\(894\) −8.45420 + 13.4737i −0.282751 + 0.450628i
\(895\) 2.77158 + 19.2768i 0.0926437 + 0.644351i
\(896\) 8.13929 + 10.7730i 0.271914 + 0.359901i
\(897\) −2.33595 1.47158i −0.0779951 0.0491347i
\(898\) −46.0158 6.10805i −1.53557 0.203828i
\(899\) 9.12492 + 63.4652i 0.304333 + 2.11668i
\(900\) −35.8049 + 43.1767i −1.19350 + 1.43922i
\(901\) 10.4075 + 35.4446i 0.346723 + 1.18083i
\(902\) −7.11024 8.02825i −0.236745 0.267312i
\(903\) −0.683150 + 2.32660i −0.0227338 + 0.0774242i
\(904\) −3.07855 17.3815i −0.102391 0.578101i
\(905\) 12.4649 + 27.2944i 0.414348 + 0.907296i
\(906\) −22.8651 + 15.0470i −0.759641 + 0.499901i
\(907\) −2.05903 + 3.20391i −0.0683690 + 0.106384i −0.873755 0.486367i \(-0.838322\pi\)
0.805386 + 0.592751i \(0.201958\pi\)
\(908\) 29.9350 + 12.8946i 0.993428 + 0.427922i
\(909\) −19.5515 2.81108i −0.648482 0.0932376i
\(910\) 3.20270 3.77805i 0.106169 0.125241i
\(911\) −9.54717 11.0180i −0.316312 0.365043i 0.575222 0.817997i \(-0.304916\pi\)
−0.891534 + 0.452954i \(0.850370\pi\)
\(912\) 11.2633 + 1.12405i 0.372964 + 0.0372210i
\(913\) 7.08140 4.55094i 0.234360 0.150614i
\(914\) 12.1884 27.4725i 0.403155 0.908710i
\(915\) −13.2252 + 15.2627i −0.437213 + 0.504571i
\(916\) −12.9617 + 0.280868i −0.428266 + 0.00928014i
\(917\) −9.25819 + 20.2726i −0.305732 + 0.669460i
\(918\) −31.7391 + 0.343838i −1.04755 + 0.0113483i
\(919\) −6.93807 −0.228866 −0.114433 0.993431i \(-0.536505\pi\)
−0.114433 + 0.993431i \(0.536505\pi\)
\(920\) 54.1828 + 13.4933i 1.78635 + 0.444862i
\(921\) −5.14227 −0.169444
\(922\) −42.5083 + 0.460504i −1.39994 + 0.0151659i
\(923\) −1.99550 + 4.36954i −0.0656828 + 0.143825i
\(924\) 0.118039 + 5.44736i 0.00388321 + 0.179205i
\(925\) −41.4601 + 47.8474i −1.36320 + 1.57321i
\(926\) 12.4058 27.9627i 0.407681 0.918911i
\(927\) 23.3365 14.9975i 0.766471 0.492581i
\(928\) −36.7360 8.65713i −1.20592 0.284184i
\(929\) −11.7818 13.5970i −0.386550 0.446102i 0.528809 0.848741i \(-0.322639\pi\)
−0.915359 + 0.402638i \(0.868093\pi\)
\(930\) −29.2123 + 34.4601i −0.957910 + 1.12999i
\(931\) −19.3405 2.78075i −0.633860 0.0911353i
\(932\) −3.13408 + 7.27582i −0.102660 + 0.238327i
\(933\) −8.71902 + 13.5671i −0.285448 + 0.444166i
\(934\) −1.28383 + 0.844860i −0.0420083 + 0.0276447i
\(935\) 25.1239 + 55.0137i 0.821639 + 1.79914i
\(936\) −0.825675 4.66177i −0.0269880 0.152375i
\(937\) −5.53511 + 18.8509i −0.180824 + 0.615831i 0.818331 + 0.574747i \(0.194899\pi\)
−0.999156 + 0.0410843i \(0.986919\pi\)
\(938\) 8.58784 + 9.69663i 0.280403 + 0.316606i
\(939\) 5.05614 + 17.2196i 0.165001 + 0.561941i
\(940\) 54.1106 + 44.8720i 1.76489 + 1.46356i
\(941\) −5.56270 38.6895i −0.181339 1.26124i −0.853601 0.520927i \(-0.825586\pi\)
0.672262 0.740313i \(-0.265323\pi\)
\(942\) 15.9837 + 2.12165i 0.520778 + 0.0691272i
\(943\) 3.51276 12.3758i 0.114391 0.403011i
\(944\) −12.1448 7.08108i −0.395279 0.230470i
\(945\) −3.01924 20.9993i −0.0982158 0.683106i
\(946\) 5.34646 8.52081i 0.173828 0.277035i
\(947\) 49.5499 14.5492i 1.61016 0.472784i 0.651807 0.758385i \(-0.274011\pi\)
0.958349 + 0.285601i \(0.0921931\pi\)
\(948\) 8.94362 6.02543i 0.290475 0.195697i
\(949\) −0.222984 + 0.759413i −0.00723836 + 0.0246516i
\(950\) 25.1734 + 53.5784i 0.816734 + 1.73831i
\(951\) −9.97882 + 4.55717i −0.323585 + 0.147776i
\(952\) −16.6632 + 5.48685i −0.540057 + 0.177830i
\(953\) −21.6359 + 33.6661i −0.700855 + 1.09055i 0.290183 + 0.956971i \(0.406284\pi\)
−0.991038 + 0.133580i \(0.957353\pi\)
\(954\) −6.40358 + 22.7161i −0.207323 + 0.735459i
\(955\) 13.2886 92.4242i 0.430009 2.99078i
\(956\) −20.8879 + 18.9071i −0.675564 + 0.611500i
\(957\) −9.97392 11.5105i −0.322411 0.372082i
\(958\) −9.32491 30.5303i −0.301274 0.986389i
\(959\) 5.15895 + 8.02749i 0.166591 + 0.259221i
\(960\) −12.5947 23.4207i −0.406491 0.755898i
\(961\) 40.1776 46.3674i 1.29605 1.49572i
\(962\) −0.817745 5.28079i −0.0263652 0.170260i
\(963\) 30.9990 + 14.1568i 0.998928 + 0.456195i
\(964\) −57.2035 6.96337i −1.84240 0.224275i
\(965\) −22.0794 −0.710761
\(966\) −5.42728 + 3.64223i −0.174620 + 0.117187i
\(967\) 4.49381i 0.144511i −0.997386 0.0722555i \(-0.976980\pi\)
0.997386 0.0722555i \(-0.0230197\pi\)
\(968\) −2.13077 + 8.23811i −0.0684855 + 0.264783i
\(969\) −6.10956 + 13.3781i −0.196267 + 0.429766i
\(970\) −3.26746 21.1004i −0.104912 0.677493i
\(971\) 26.1451 + 22.6549i 0.839038 + 0.727030i 0.964220 0.265103i \(-0.0854061\pi\)
−0.125182 + 0.992134i \(0.539952\pi\)
\(972\) −26.9943 16.5330i −0.865843 0.530297i
\(973\) −11.6847 + 7.50932i −0.374595 + 0.240738i
\(974\) −25.2282 + 7.70547i −0.808363 + 0.246899i
\(975\) −5.19678 + 4.50304i −0.166430 + 0.144213i
\(976\) 11.0437 + 21.6481i 0.353499 + 0.692940i
\(977\) 33.4873 + 4.81474i 1.07135 + 0.154037i 0.655349 0.755326i \(-0.272521\pi\)
0.416003 + 0.909363i \(0.363430\pi\)
\(978\) 6.93194 24.5904i 0.221659 0.786314i
\(979\) −3.15488 2.02752i −0.100831 0.0647999i
\(980\) 19.9694 + 41.3329i 0.637898 + 1.32033i
\(981\) 8.10070 + 17.7381i 0.258635 + 0.566332i
\(982\) 17.6340 8.28522i 0.562725 0.264392i
\(983\) 33.7197 + 9.90100i 1.07549 + 0.315793i 0.771074 0.636746i \(-0.219720\pi\)
0.304418 + 0.952539i \(0.401538\pi\)
\(984\) −5.48741 + 2.72487i −0.174932 + 0.0868656i
\(985\) 9.92915 + 33.8156i 0.316369 + 1.07745i
\(986\) 26.0639 41.5388i 0.830044 1.32287i
\(987\) −8.14476 + 1.17104i −0.259251 + 0.0372746i
\(988\) −4.82350 1.30349i −0.153456 0.0414696i
\(989\) 12.0665 0.108988i 0.383693 0.00346562i
\(990\) −5.08437 + 38.3037i −0.161592 + 1.21737i
\(991\) −22.3682 + 3.21606i −0.710549 + 0.102162i −0.488106 0.872784i \(-0.662312\pi\)
−0.222443 + 0.974946i \(0.571403\pi\)
\(992\) 25.2270 + 48.1548i 0.800959 + 1.52892i
\(993\) 7.64290 2.24416i 0.242540 0.0712162i
\(994\) 7.53999 + 8.51349i 0.239154 + 0.270032i
\(995\) 6.32014 + 1.85576i 0.200362 + 0.0588316i
\(996\) −1.45450 4.58377i −0.0460875 0.145242i
\(997\) 19.1280 8.73548i 0.605791 0.276655i −0.0888124 0.996048i \(-0.528307\pi\)
0.694603 + 0.719393i \(0.255580\pi\)
\(998\) 6.49875 + 9.87537i 0.205714 + 0.312600i
\(999\) −19.2558 12.3749i −0.609226 0.391526i
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 184.2.j.a.43.11 220
4.3 odd 2 736.2.r.a.687.7 220
8.3 odd 2 inner 184.2.j.a.43.13 yes 220
8.5 even 2 736.2.r.a.687.8 220
23.15 odd 22 inner 184.2.j.a.107.13 yes 220
92.15 even 22 736.2.r.a.15.8 220
184.61 odd 22 736.2.r.a.15.7 220
184.107 even 22 inner 184.2.j.a.107.11 yes 220
    
        By twisted newform
Twist Min Dim Char Parity Ord Type
184.2.j.a.43.11 220 1.1 even 1 trivial
184.2.j.a.43.13 yes 220 8.3 odd 2 inner
184.2.j.a.107.11 yes 220 184.107 even 22 inner
184.2.j.a.107.13 yes 220 23.15 odd 22 inner
736.2.r.a.15.7 220 184.61 odd 22
736.2.r.a.15.8 220 92.15 even 22
736.2.r.a.687.7 220 4.3 odd 2
736.2.r.a.687.8 220 8.5 even 2