Properties

Label 570.2.k.b.77.14
Level $570$
Weight $2$
Character 570.77
Analytic conductor $4.551$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.k (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(18\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 77.14
Character \(\chi\) \(=\) 570.77
Dual form 570.2.k.b.533.14

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 - 0.707107i) q^{2} +(0.336929 + 1.69896i) q^{3} -1.00000i q^{4} +(-2.14526 + 0.630765i) q^{5} +(1.43959 + 0.963104i) q^{6} +(0.804978 + 0.804978i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.77296 + 1.14486i) q^{9} +O(q^{10})\) \(q+(0.707107 - 0.707107i) q^{2} +(0.336929 + 1.69896i) q^{3} -1.00000i q^{4} +(-2.14526 + 0.630765i) q^{5} +(1.43959 + 0.963104i) q^{6} +(0.804978 + 0.804978i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-2.77296 + 1.14486i) q^{9} +(-1.07091 + 1.96295i) q^{10} +3.15590i q^{11} +(1.69896 - 0.336929i) q^{12} +(-2.72994 + 2.72994i) q^{13} +1.13841 q^{14} +(-1.79445 - 3.43220i) q^{15} -1.00000 q^{16} +(-2.04213 + 2.04213i) q^{17} +(-1.15124 + 2.77032i) q^{18} -1.00000i q^{19} +(0.630765 + 2.14526i) q^{20} +(-1.09641 + 1.63885i) q^{21} +(2.23156 + 2.23156i) q^{22} +(1.82163 + 1.82163i) q^{23} +(0.963104 - 1.43959i) q^{24} +(4.20427 - 2.70631i) q^{25} +3.86071i q^{26} +(-2.87936 - 4.32542i) q^{27} +(0.804978 - 0.804978i) q^{28} -5.49359 q^{29} +(-3.69579 - 1.15806i) q^{30} +5.07413 q^{31} +(-0.707107 + 0.707107i) q^{32} +(-5.36176 + 1.06331i) q^{33} +2.88801i q^{34} +(-2.23464 - 1.21913i) q^{35} +(1.14486 + 2.77296i) q^{36} +(7.25575 + 7.25575i) q^{37} +(-0.707107 - 0.707107i) q^{38} +(-5.55786 - 3.71827i) q^{39} +(1.96295 + 1.07091i) q^{40} +6.31900i q^{41} +(0.383563 + 1.93412i) q^{42} +(0.643335 - 0.643335i) q^{43} +3.15590 q^{44} +(5.22658 - 4.20510i) q^{45} +2.57617 q^{46} +(-3.22573 + 3.22573i) q^{47} +(-0.336929 - 1.69896i) q^{48} -5.70402i q^{49} +(1.05922 - 4.88652i) q^{50} +(-4.15756 - 2.78145i) q^{51} +(2.72994 + 2.72994i) q^{52} +(-3.16898 - 3.16898i) q^{53} +(-5.09455 - 1.02252i) q^{54} +(-1.99063 - 6.77022i) q^{55} -1.13841i q^{56} +(1.69896 - 0.336929i) q^{57} +(-3.88456 + 3.88456i) q^{58} -1.26612 q^{59} +(-3.43220 + 1.79445i) q^{60} +2.70369 q^{61} +(3.58795 - 3.58795i) q^{62} +(-3.15376 - 1.31058i) q^{63} +1.00000i q^{64} +(4.13447 - 7.57837i) q^{65} +(-3.03946 + 4.54321i) q^{66} +(3.86878 + 3.86878i) q^{67} +(2.04213 + 2.04213i) q^{68} +(-2.48112 + 3.70864i) q^{69} +(-2.44219 + 0.718070i) q^{70} -0.944610i q^{71} +(2.77032 + 1.15124i) q^{72} +(3.61892 - 3.61892i) q^{73} +10.2612 q^{74} +(6.01446 + 6.23107i) q^{75} -1.00000 q^{76} +(-2.54043 + 2.54043i) q^{77} +(-6.55921 + 1.30079i) q^{78} -15.0264i q^{79} +(2.14526 - 0.630765i) q^{80} +(6.37859 - 6.34930i) q^{81} +(4.46821 + 4.46821i) q^{82} +(5.54904 + 5.54904i) q^{83} +(1.63885 + 1.09641i) q^{84} +(3.09279 - 5.66900i) q^{85} -0.909814i q^{86} +(-1.85095 - 9.33342i) q^{87} +(2.23156 - 2.23156i) q^{88} +3.27340 q^{89} +(0.722289 - 6.66921i) q^{90} -4.39508 q^{91} +(1.82163 - 1.82163i) q^{92} +(1.70962 + 8.62077i) q^{93} +4.56187i q^{94} +(0.630765 + 2.14526i) q^{95} +(-1.43959 - 0.963104i) q^{96} +(2.89748 + 2.89748i) q^{97} +(-4.03335 - 4.03335i) q^{98} +(-3.61306 - 8.75117i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{3} + 4q^{6} + 20q^{7} + O(q^{10}) \) \( 36q + 4q^{3} + 4q^{6} + 20q^{7} - 4q^{10} - 4q^{12} + 8q^{13} + 4q^{15} - 36q^{16} + 16q^{21} - 4q^{22} + 16q^{25} - 44q^{27} + 20q^{28} + 32q^{30} - 24q^{31} - 4q^{33} + 4q^{36} - 8q^{40} + 12q^{42} - 8q^{43} + 28q^{45} - 16q^{46} - 4q^{48} + 40q^{51} - 8q^{52} - 36q^{55} - 4q^{57} + 44q^{58} + 16q^{60} - 120q^{61} - 12q^{63} + 80q^{67} - 36q^{70} + 44q^{73} + 4q^{75} - 36q^{76} - 64q^{78} + 36q^{81} + 8q^{82} - 24q^{85} - 28q^{87} - 4q^{88} + 44q^{90} - 72q^{93} - 4q^{96} + 92q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(1\) \(e\left(\frac{1}{4}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 0.707107i 0.500000 0.500000i
\(3\) 0.336929 + 1.69896i 0.194526 + 0.980897i
\(4\) 1.00000i 0.500000i
\(5\) −2.14526 + 0.630765i −0.959389 + 0.282087i
\(6\) 1.43959 + 0.963104i 0.587712 + 0.393186i
\(7\) 0.804978 + 0.804978i 0.304253 + 0.304253i 0.842675 0.538422i \(-0.180979\pi\)
−0.538422 + 0.842675i \(0.680979\pi\)
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −2.77296 + 1.14486i −0.924319 + 0.381620i
\(10\) −1.07091 + 1.96295i −0.338651 + 0.620738i
\(11\) 3.15590i 0.951539i 0.879570 + 0.475769i \(0.157830\pi\)
−0.879570 + 0.475769i \(0.842170\pi\)
\(12\) 1.69896 0.336929i 0.490449 0.0972629i
\(13\) −2.72994 + 2.72994i −0.757148 + 0.757148i −0.975802 0.218654i \(-0.929833\pi\)
0.218654 + 0.975802i \(0.429833\pi\)
\(14\) 1.13841 0.304253
\(15\) −1.79445 3.43220i −0.463324 0.886189i
\(16\) −1.00000 −0.250000
\(17\) −2.04213 + 2.04213i −0.495289 + 0.495289i −0.909968 0.414679i \(-0.863894\pi\)
0.414679 + 0.909968i \(0.363894\pi\)
\(18\) −1.15124 + 2.77032i −0.271350 + 0.652970i
\(19\) 1.00000i 0.229416i
\(20\) 0.630765 + 2.14526i 0.141043 + 0.479694i
\(21\) −1.09641 + 1.63885i −0.239256 + 0.357626i
\(22\) 2.23156 + 2.23156i 0.475769 + 0.475769i
\(23\) 1.82163 + 1.82163i 0.379835 + 0.379835i 0.871043 0.491207i \(-0.163444\pi\)
−0.491207 + 0.871043i \(0.663444\pi\)
\(24\) 0.963104 1.43959i 0.196593 0.293856i
\(25\) 4.20427 2.70631i 0.840854 0.541262i
\(26\) 3.86071i 0.757148i
\(27\) −2.87936 4.32542i −0.554134 0.832428i
\(28\) 0.804978 0.804978i 0.152127 0.152127i
\(29\) −5.49359 −1.02013 −0.510067 0.860134i \(-0.670380\pi\)
−0.510067 + 0.860134i \(0.670380\pi\)
\(30\) −3.69579 1.15806i −0.674756 0.211432i
\(31\) 5.07413 0.911341 0.455671 0.890148i \(-0.349400\pi\)
0.455671 + 0.890148i \(0.349400\pi\)
\(32\) −0.707107 + 0.707107i −0.125000 + 0.125000i
\(33\) −5.36176 + 1.06331i −0.933362 + 0.185099i
\(34\) 2.88801i 0.495289i
\(35\) −2.23464 1.21913i −0.377723 0.206071i
\(36\) 1.14486 + 2.77296i 0.190810 + 0.462160i
\(37\) 7.25575 + 7.25575i 1.19284 + 1.19284i 0.976267 + 0.216570i \(0.0694871\pi\)
0.216570 + 0.976267i \(0.430513\pi\)
\(38\) −0.707107 0.707107i −0.114708 0.114708i
\(39\) −5.55786 3.71827i −0.889970 0.595400i
\(40\) 1.96295 + 1.07091i 0.310369 + 0.169326i
\(41\) 6.31900i 0.986862i 0.869785 + 0.493431i \(0.164257\pi\)
−0.869785 + 0.493431i \(0.835743\pi\)
\(42\) 0.383563 + 1.93412i 0.0591851 + 0.298441i
\(43\) 0.643335 0.643335i 0.0981077 0.0981077i −0.656349 0.754457i \(-0.727900\pi\)
0.754457 + 0.656349i \(0.227900\pi\)
\(44\) 3.15590 0.475769
\(45\) 5.22658 4.20510i 0.779132 0.626860i
\(46\) 2.57617 0.379835
\(47\) −3.22573 + 3.22573i −0.470521 + 0.470521i −0.902083 0.431562i \(-0.857963\pi\)
0.431562 + 0.902083i \(0.357963\pi\)
\(48\) −0.336929 1.69896i −0.0486315 0.245224i
\(49\) 5.70402i 0.814860i
\(50\) 1.05922 4.88652i 0.149796 0.691058i
\(51\) −4.15756 2.78145i −0.582174 0.389481i
\(52\) 2.72994 + 2.72994i 0.378574 + 0.378574i
\(53\) −3.16898 3.16898i −0.435292 0.435292i 0.455132 0.890424i \(-0.349592\pi\)
−0.890424 + 0.455132i \(0.849592\pi\)
\(54\) −5.09455 1.02252i −0.693281 0.139147i
\(55\) −1.99063 6.77022i −0.268416 0.912896i
\(56\) 1.13841i 0.152127i
\(57\) 1.69896 0.336929i 0.225033 0.0446273i
\(58\) −3.88456 + 3.88456i −0.510067 + 0.510067i
\(59\) −1.26612 −0.164834 −0.0824171 0.996598i \(-0.526264\pi\)
−0.0824171 + 0.996598i \(0.526264\pi\)
\(60\) −3.43220 + 1.79445i −0.443094 + 0.231662i
\(61\) 2.70369 0.346172 0.173086 0.984907i \(-0.444626\pi\)
0.173086 + 0.984907i \(0.444626\pi\)
\(62\) 3.58795 3.58795i 0.455671 0.455671i
\(63\) −3.15376 1.31058i −0.397336 0.165118i
\(64\) 1.00000i 0.125000i
\(65\) 4.13447 7.57837i 0.512818 0.939981i
\(66\) −3.03946 + 4.54321i −0.374131 + 0.559230i
\(67\) 3.86878 + 3.86878i 0.472647 + 0.472647i 0.902770 0.430123i \(-0.141530\pi\)
−0.430123 + 0.902770i \(0.641530\pi\)
\(68\) 2.04213 + 2.04213i 0.247645 + 0.247645i
\(69\) −2.48112 + 3.70864i −0.298692 + 0.446467i
\(70\) −2.44219 + 0.718070i −0.291897 + 0.0858257i
\(71\) 0.944610i 0.112105i −0.998428 0.0560523i \(-0.982149\pi\)
0.998428 0.0560523i \(-0.0178514\pi\)
\(72\) 2.77032 + 1.15124i 0.326485 + 0.135675i
\(73\) 3.61892 3.61892i 0.423563 0.423563i −0.462866 0.886428i \(-0.653179\pi\)
0.886428 + 0.462866i \(0.153179\pi\)
\(74\) 10.2612 1.19284
\(75\) 6.01446 + 6.23107i 0.694490 + 0.719502i
\(76\) −1.00000 −0.114708
\(77\) −2.54043 + 2.54043i −0.289509 + 0.289509i
\(78\) −6.55921 + 1.30079i −0.742685 + 0.147285i
\(79\) 15.0264i 1.69060i −0.534292 0.845300i \(-0.679422\pi\)
0.534292 0.845300i \(-0.320578\pi\)
\(80\) 2.14526 0.630765i 0.239847 0.0705217i
\(81\) 6.37859 6.34930i 0.708733 0.705477i
\(82\) 4.46821 + 4.46821i 0.493431 + 0.493431i
\(83\) 5.54904 + 5.54904i 0.609086 + 0.609086i 0.942707 0.333621i \(-0.108271\pi\)
−0.333621 + 0.942707i \(0.608271\pi\)
\(84\) 1.63885 + 1.09641i 0.178813 + 0.119628i
\(85\) 3.09279 5.66900i 0.335460 0.614889i
\(86\) 0.909814i 0.0981077i
\(87\) −1.85095 9.33342i −0.198443 1.00065i
\(88\) 2.23156 2.23156i 0.237885 0.237885i
\(89\) 3.27340 0.346979 0.173490 0.984836i \(-0.444496\pi\)
0.173490 + 0.984836i \(0.444496\pi\)
\(90\) 0.722289 6.66921i 0.0761359 0.702996i
\(91\) −4.39508 −0.460729
\(92\) 1.82163 1.82163i 0.189918 0.189918i
\(93\) 1.70962 + 8.62077i 0.177279 + 0.893932i
\(94\) 4.56187i 0.470521i
\(95\) 0.630765 + 2.14526i 0.0647151 + 0.220099i
\(96\) −1.43959 0.963104i −0.146928 0.0982964i
\(97\) 2.89748 + 2.89748i 0.294195 + 0.294195i 0.838735 0.544540i \(-0.183296\pi\)
−0.544540 + 0.838735i \(0.683296\pi\)
\(98\) −4.03335 4.03335i −0.407430 0.407430i
\(99\) −3.61306 8.75117i −0.363126 0.879526i
\(100\) −2.70631 4.20427i −0.270631 0.420427i
\(101\) 16.8808i 1.67971i −0.542813 0.839853i \(-0.682641\pi\)
0.542813 0.839853i \(-0.317359\pi\)
\(102\) −4.90662 + 0.973053i −0.485828 + 0.0963466i
\(103\) 1.47281 1.47281i 0.145121 0.145121i −0.630814 0.775934i \(-0.717279\pi\)
0.775934 + 0.630814i \(0.217279\pi\)
\(104\) 3.86071 0.378574
\(105\) 1.31835 4.20733i 0.128658 0.410593i
\(106\) −4.48161 −0.435292
\(107\) 8.84697 8.84697i 0.855269 0.855269i −0.135507 0.990776i \(-0.543266\pi\)
0.990776 + 0.135507i \(0.0432665\pi\)
\(108\) −4.32542 + 2.87936i −0.416214 + 0.277067i
\(109\) 6.83921i 0.655077i 0.944838 + 0.327539i \(0.106219\pi\)
−0.944838 + 0.327539i \(0.893781\pi\)
\(110\) −6.19485 3.37968i −0.590656 0.322240i
\(111\) −9.88258 + 14.7719i −0.938013 + 1.40209i
\(112\) −0.804978 0.804978i −0.0760633 0.0760633i
\(113\) 14.3560 + 14.3560i 1.35050 + 1.35050i 0.885101 + 0.465400i \(0.154089\pi\)
0.465400 + 0.885101i \(0.345911\pi\)
\(114\) 0.963104 1.43959i 0.0902030 0.134830i
\(115\) −5.05688 2.75884i −0.471556 0.257263i
\(116\) 5.49359i 0.510067i
\(117\) 4.44461 10.6954i 0.410904 0.988790i
\(118\) −0.895279 + 0.895279i −0.0824171 + 0.0824171i
\(119\) −3.28774 −0.301386
\(120\) −1.15806 + 3.69579i −0.105716 + 0.337378i
\(121\) 1.04032 0.0945742
\(122\) 1.91180 1.91180i 0.173086 0.173086i
\(123\) −10.7357 + 2.12905i −0.968010 + 0.191970i
\(124\) 5.07413i 0.455671i
\(125\) −7.31221 + 8.45764i −0.654024 + 0.756474i
\(126\) −3.15677 + 1.30332i −0.281227 + 0.116109i
\(127\) −1.57598 1.57598i −0.139845 0.139845i 0.633718 0.773564i \(-0.281528\pi\)
−0.773564 + 0.633718i \(0.781528\pi\)
\(128\) 0.707107 + 0.707107i 0.0625000 + 0.0625000i
\(129\) 1.30976 + 0.876246i 0.115318 + 0.0771491i
\(130\) −2.43520 8.28223i −0.213581 0.726400i
\(131\) 19.0035i 1.66034i 0.557509 + 0.830171i \(0.311757\pi\)
−0.557509 + 0.830171i \(0.688243\pi\)
\(132\) 1.06331 + 5.36176i 0.0925494 + 0.466681i
\(133\) 0.804978 0.804978i 0.0698004 0.0698004i
\(134\) 5.47128 0.472647
\(135\) 8.90531 + 7.46294i 0.766447 + 0.642308i
\(136\) 2.88801 0.247645
\(137\) 15.2239 15.2239i 1.30066 1.30066i 0.372720 0.927944i \(-0.378425\pi\)
0.927944 0.372720i \(-0.121575\pi\)
\(138\) 0.867985 + 4.37682i 0.0738878 + 0.372580i
\(139\) 15.0510i 1.27661i 0.769785 + 0.638304i \(0.220364\pi\)
−0.769785 + 0.638304i \(0.779636\pi\)
\(140\) −1.21913 + 2.23464i −0.103036 + 0.188861i
\(141\) −6.56724 4.39356i −0.553061 0.370004i
\(142\) −0.667940 0.667940i −0.0560523 0.0560523i
\(143\) −8.61540 8.61540i −0.720456 0.720456i
\(144\) 2.77296 1.14486i 0.231080 0.0954050i
\(145\) 11.7852 3.46517i 0.978706 0.287766i
\(146\) 5.11793i 0.423563i
\(147\) 9.69093 1.92185i 0.799294 0.158511i
\(148\) 7.25575 7.25575i 0.596419 0.596419i
\(149\) −13.7188 −1.12389 −0.561945 0.827174i \(-0.689947\pi\)
−0.561945 + 0.827174i \(0.689947\pi\)
\(150\) 8.65890 + 0.153169i 0.706996 + 0.0125062i
\(151\) −14.9068 −1.21310 −0.606549 0.795046i \(-0.707447\pi\)
−0.606549 + 0.795046i \(0.707447\pi\)
\(152\) −0.707107 + 0.707107i −0.0573539 + 0.0573539i
\(153\) 3.32479 8.00069i 0.268793 0.646818i
\(154\) 3.59271i 0.289509i
\(155\) −10.8853 + 3.20058i −0.874331 + 0.257077i
\(156\) −3.71827 + 5.55786i −0.297700 + 0.444985i
\(157\) 2.63322 + 2.63322i 0.210153 + 0.210153i 0.804333 0.594179i \(-0.202523\pi\)
−0.594179 + 0.804333i \(0.702523\pi\)
\(158\) −10.6253 10.6253i −0.845300 0.845300i
\(159\) 4.31626 6.45170i 0.342301 0.511653i
\(160\) 1.07091 1.96295i 0.0846628 0.155184i
\(161\) 2.93274i 0.231132i
\(162\) 0.0207168 8.99998i 0.00162767 0.707105i
\(163\) −8.49310 + 8.49310i −0.665231 + 0.665231i −0.956608 0.291377i \(-0.905887\pi\)
0.291377 + 0.956608i \(0.405887\pi\)
\(164\) 6.31900 0.493431
\(165\) 10.8317 5.66309i 0.843243 0.440871i
\(166\) 7.84753 0.609086
\(167\) −2.26247 + 2.26247i −0.175075 + 0.175075i −0.789205 0.614130i \(-0.789507\pi\)
0.614130 + 0.789205i \(0.289507\pi\)
\(168\) 1.93412 0.383563i 0.149221 0.0295925i
\(169\) 1.90511i 0.146547i
\(170\) −1.82165 6.19552i −0.139714 0.475175i
\(171\) 1.14486 + 2.77296i 0.0875496 + 0.212053i
\(172\) −0.643335 0.643335i −0.0490539 0.0490539i
\(173\) 6.00022 + 6.00022i 0.456189 + 0.456189i 0.897402 0.441214i \(-0.145452\pi\)
−0.441214 + 0.897402i \(0.645452\pi\)
\(174\) −7.90854 5.29091i −0.599545 0.401103i
\(175\) 5.56286 + 1.20583i 0.420513 + 0.0911520i
\(176\) 3.15590i 0.237885i
\(177\) −0.426591 2.15108i −0.0320645 0.161685i
\(178\) 2.31464 2.31464i 0.173490 0.173490i
\(179\) −10.5263 −0.786776 −0.393388 0.919373i \(-0.628697\pi\)
−0.393388 + 0.919373i \(0.628697\pi\)
\(180\) −4.20510 5.22658i −0.313430 0.389566i
\(181\) −20.9226 −1.55516 −0.777582 0.628781i \(-0.783554\pi\)
−0.777582 + 0.628781i \(0.783554\pi\)
\(182\) −3.10779 + 3.10779i −0.230365 + 0.230365i
\(183\) 0.910950 + 4.59347i 0.0673394 + 0.339559i
\(184\) 2.57617i 0.189918i
\(185\) −20.1421 10.9888i −1.48088 0.807912i
\(186\) 7.30469 + 4.88692i 0.535606 + 0.358326i
\(187\) −6.44475 6.44475i −0.471287 0.471287i
\(188\) 3.22573 + 3.22573i 0.235260 + 0.235260i
\(189\) 1.16404 5.79969i 0.0846717 0.421866i
\(190\) 1.96295 + 1.07091i 0.142407 + 0.0776919i
\(191\) 24.7912i 1.79383i −0.442204 0.896915i \(-0.645803\pi\)
0.442204 0.896915i \(-0.354197\pi\)
\(192\) −1.69896 + 0.336929i −0.122612 + 0.0243157i
\(193\) 17.4625 17.4625i 1.25698 1.25698i 0.304450 0.952528i \(-0.401527\pi\)
0.952528 0.304450i \(-0.0984726\pi\)
\(194\) 4.09766 0.294195
\(195\) 14.2684 + 4.47095i 1.02178 + 0.320171i
\(196\) −5.70402 −0.407430
\(197\) −1.66630 + 1.66630i −0.118719 + 0.118719i −0.763970 0.645252i \(-0.776753\pi\)
0.645252 + 0.763970i \(0.276753\pi\)
\(198\) −8.74283 3.63319i −0.621326 0.258200i
\(199\) 27.4124i 1.94321i 0.236606 + 0.971606i \(0.423965\pi\)
−0.236606 + 0.971606i \(0.576035\pi\)
\(200\) −4.88652 1.05922i −0.345529 0.0748982i
\(201\) −5.26942 + 7.87642i −0.371676 + 0.555560i
\(202\) −11.9366 11.9366i −0.839853 0.839853i
\(203\) −4.42222 4.42222i −0.310379 0.310379i
\(204\) −2.78145 + 4.15756i −0.194741 + 0.291087i
\(205\) −3.98580 13.5559i −0.278380 0.946784i
\(206\) 2.08287i 0.145121i
\(207\) −7.13680 2.96579i −0.496042 0.206137i
\(208\) 2.72994 2.72994i 0.189287 0.189287i
\(209\) 3.15590 0.218298
\(210\) −2.04282 3.90725i −0.140968 0.269626i
\(211\) −3.68643 −0.253785 −0.126892 0.991917i \(-0.540500\pi\)
−0.126892 + 0.991917i \(0.540500\pi\)
\(212\) −3.16898 + 3.16898i −0.217646 + 0.217646i
\(213\) 1.60486 0.318266i 0.109963 0.0218073i
\(214\) 12.5115i 0.855269i
\(215\) −0.974328 + 1.78591i −0.0664486 + 0.121798i
\(216\) −1.02252 + 5.09455i −0.0695734 + 0.346640i
\(217\) 4.08457 + 4.08457i 0.277278 + 0.277278i
\(218\) 4.83605 + 4.83605i 0.327539 + 0.327539i
\(219\) 7.36773 + 4.92910i 0.497865 + 0.333078i
\(220\) −6.77022 + 1.99063i −0.456448 + 0.134208i
\(221\) 11.1498i 0.750015i
\(222\) 3.45728 + 17.4334i 0.232038 + 1.17005i
\(223\) −18.9631 + 18.9631i −1.26987 + 1.26987i −0.323709 + 0.946157i \(0.604930\pi\)
−0.946157 + 0.323709i \(0.895070\pi\)
\(224\) −1.13841 −0.0760633
\(225\) −8.55993 + 12.3178i −0.570662 + 0.821185i
\(226\) 20.3025 1.35050
\(227\) 2.05681 2.05681i 0.136515 0.136515i −0.635547 0.772062i \(-0.719225\pi\)
0.772062 + 0.635547i \(0.219225\pi\)
\(228\) −0.336929 1.69896i −0.0223136 0.112517i
\(229\) 15.8734i 1.04895i 0.851427 + 0.524473i \(0.175738\pi\)
−0.851427 + 0.524473i \(0.824262\pi\)
\(230\) −5.52655 + 1.62496i −0.364410 + 0.107147i
\(231\) −5.17204 3.46015i −0.340295 0.227661i
\(232\) 3.88456 + 3.88456i 0.255034 + 0.255034i
\(233\) 15.6011 + 15.6011i 1.02206 + 1.02206i 0.999751 + 0.0223132i \(0.00710309\pi\)
0.0223132 + 0.999751i \(0.492897\pi\)
\(234\) −4.41997 10.7056i −0.288943 0.699847i
\(235\) 4.88535 8.95470i 0.318685 0.584140i
\(236\) 1.26612i 0.0824171i
\(237\) 25.5293 5.06282i 1.65830 0.328865i
\(238\) −2.32478 + 2.32478i −0.150693 + 0.150693i
\(239\) −4.84839 −0.313616 −0.156808 0.987629i \(-0.550120\pi\)
−0.156808 + 0.987629i \(0.550120\pi\)
\(240\) 1.79445 + 3.43220i 0.115831 + 0.221547i
\(241\) −17.0520 −1.09842 −0.549209 0.835685i \(-0.685071\pi\)
−0.549209 + 0.835685i \(0.685071\pi\)
\(242\) 0.735615 0.735615i 0.0472871 0.0472871i
\(243\) 12.9364 + 8.69774i 0.829868 + 0.557960i
\(244\) 2.70369i 0.173086i
\(245\) 3.59790 + 12.2366i 0.229861 + 0.781768i
\(246\) −6.08585 + 9.09679i −0.388020 + 0.579990i
\(247\) 2.72994 + 2.72994i 0.173702 + 0.173702i
\(248\) −3.58795 3.58795i −0.227835 0.227835i
\(249\) −7.55799 + 11.2973i −0.478968 + 0.715934i
\(250\) 0.809943 + 11.1510i 0.0512253 + 0.705249i
\(251\) 7.93870i 0.501087i −0.968105 0.250543i \(-0.919391\pi\)
0.968105 0.250543i \(-0.0806092\pi\)
\(252\) −1.31058 + 3.15376i −0.0825590 + 0.198668i
\(253\) −5.74887 + 5.74887i −0.361428 + 0.361428i
\(254\) −2.22877 −0.139845
\(255\) 10.6735 + 3.34450i 0.668399 + 0.209440i
\(256\) 1.00000 0.0625000
\(257\) −16.9891 + 16.9891i −1.05975 + 1.05975i −0.0616541 + 0.998098i \(0.519638\pi\)
−0.998098 + 0.0616541i \(0.980362\pi\)
\(258\) 1.54574 0.306542i 0.0962336 0.0190845i
\(259\) 11.6814i 0.725849i
\(260\) −7.57837 4.13447i −0.469990 0.256409i
\(261\) 15.2335 6.28939i 0.942930 0.389304i
\(262\) 13.4375 + 13.4375i 0.830171 + 0.830171i
\(263\) −2.30249 2.30249i −0.141977 0.141977i 0.632546 0.774523i \(-0.282010\pi\)
−0.774523 + 0.632546i \(0.782010\pi\)
\(264\) 4.54321 + 3.03946i 0.279615 + 0.187066i
\(265\) 8.79715 + 4.79939i 0.540405 + 0.294824i
\(266\) 1.13841i 0.0698004i
\(267\) 1.10290 + 5.56138i 0.0674965 + 0.340351i
\(268\) 3.86878 3.86878i 0.236323 0.236323i
\(269\) 15.9676 0.973559 0.486780 0.873525i \(-0.338171\pi\)
0.486780 + 0.873525i \(0.338171\pi\)
\(270\) 11.5741 1.01990i 0.704377 0.0620694i
\(271\) −5.91297 −0.359188 −0.179594 0.983741i \(-0.557478\pi\)
−0.179594 + 0.983741i \(0.557478\pi\)
\(272\) 2.04213 2.04213i 0.123822 0.123822i
\(273\) −1.48083 7.46708i −0.0896238 0.451928i
\(274\) 21.5298i 1.30066i
\(275\) 8.54083 + 13.2682i 0.515031 + 0.800105i
\(276\) 3.70864 + 2.48112i 0.223234 + 0.149346i
\(277\) 17.6393 + 17.6393i 1.05984 + 1.05984i 0.998092 + 0.0617480i \(0.0196675\pi\)
0.0617480 + 0.998092i \(0.480332\pi\)
\(278\) 10.6426 + 10.6426i 0.638304 + 0.638304i
\(279\) −14.0704 + 5.80917i −0.842370 + 0.347786i
\(280\) 0.718070 + 2.44219i 0.0429129 + 0.145949i
\(281\) 11.7923i 0.703472i −0.936099 0.351736i \(-0.885592\pi\)
0.936099 0.351736i \(-0.114408\pi\)
\(282\) −7.75045 + 1.53702i −0.461533 + 0.0915285i
\(283\) −4.82604 + 4.82604i −0.286878 + 0.286878i −0.835845 0.548966i \(-0.815022\pi\)
0.548966 + 0.835845i \(0.315022\pi\)
\(284\) −0.944610 −0.0560523
\(285\) −3.43220 + 1.79445i −0.203306 + 0.106294i
\(286\) −12.1840 −0.720456
\(287\) −5.08665 + 5.08665i −0.300256 + 0.300256i
\(288\) 1.15124 2.77032i 0.0678374 0.163242i
\(289\) 8.65941i 0.509377i
\(290\) 5.88314 10.7836i 0.345470 0.633236i
\(291\) −3.94648 + 5.89897i −0.231346 + 0.345804i
\(292\) −3.61892 3.61892i −0.211781 0.211781i
\(293\) 11.3784 + 11.3784i 0.664732 + 0.664732i 0.956492 0.291760i \(-0.0942408\pi\)
−0.291760 + 0.956492i \(0.594241\pi\)
\(294\) 5.49357 8.21147i 0.320391 0.478903i
\(295\) 2.71614 0.798621i 0.158140 0.0464975i
\(296\) 10.2612i 0.596419i
\(297\) 13.6506 9.08698i 0.792087 0.527280i
\(298\) −9.70068 + 9.70068i −0.561945 + 0.561945i
\(299\) −9.94585 −0.575183
\(300\) 6.23107 6.01446i 0.359751 0.347245i
\(301\) 1.03574 0.0596992
\(302\) −10.5407 + 10.5407i −0.606549 + 0.606549i
\(303\) 28.6799 5.68764i 1.64762 0.326746i
\(304\) 1.00000i 0.0573539i
\(305\) −5.80011 + 1.70539i −0.332113 + 0.0976504i
\(306\) −3.30636 8.00832i −0.189012 0.457805i
\(307\) 3.22856 + 3.22856i 0.184264 + 0.184264i 0.793211 0.608947i \(-0.208408\pi\)
−0.608947 + 0.793211i \(0.708408\pi\)
\(308\) 2.54043 + 2.54043i 0.144754 + 0.144754i
\(309\) 2.99849 + 2.00602i 0.170578 + 0.114119i
\(310\) −5.43393 + 9.96024i −0.308627 + 0.565704i
\(311\) 8.13102i 0.461068i 0.973064 + 0.230534i \(0.0740473\pi\)
−0.973064 + 0.230534i \(0.925953\pi\)
\(312\) 1.30079 + 6.55921i 0.0736425 + 0.371342i
\(313\) 19.8596 19.8596i 1.12253 1.12253i 0.131173 0.991359i \(-0.458126\pi\)
0.991359 0.131173i \(-0.0418744\pi\)
\(314\) 3.72393 0.210153
\(315\) 7.59230 + 0.822262i 0.427777 + 0.0463292i
\(316\) −15.0264 −0.845300
\(317\) 7.90002 7.90002i 0.443709 0.443709i −0.449547 0.893257i \(-0.648415\pi\)
0.893257 + 0.449547i \(0.148415\pi\)
\(318\) −1.50998 7.61409i −0.0846756 0.426977i
\(319\) 17.3372i 0.970698i
\(320\) −0.630765 2.14526i −0.0352608 0.119924i
\(321\) 18.0115 + 12.0499i 1.00530 + 0.672559i
\(322\) 2.07376 + 2.07376i 0.115566 + 0.115566i
\(323\) 2.04213 + 2.04213i 0.113627 + 0.113627i
\(324\) −6.34930 6.37859i −0.352739 0.354366i
\(325\) −4.08934 + 18.8654i −0.226836 + 1.04647i
\(326\) 12.0111i 0.665231i
\(327\) −11.6196 + 2.30432i −0.642563 + 0.127429i
\(328\) 4.46821 4.46821i 0.246715 0.246715i
\(329\) −5.19328 −0.286315
\(330\) 3.65473 11.6635i 0.201186 0.642057i
\(331\) 29.2265 1.60643 0.803217 0.595687i \(-0.203120\pi\)
0.803217 + 0.595687i \(0.203120\pi\)
\(332\) 5.54904 5.54904i 0.304543 0.304543i
\(333\) −28.4267 11.8131i −1.55777 0.647352i
\(334\) 3.19962i 0.175075i
\(335\) −10.7398 5.85925i −0.586779 0.320125i
\(336\) 1.09641 1.63885i 0.0598140 0.0894065i
\(337\) −10.9958 10.9958i −0.598982 0.598982i 0.341060 0.940042i \(-0.389214\pi\)
−0.940042 + 0.341060i \(0.889214\pi\)
\(338\) −1.34711 1.34711i −0.0732734 0.0732734i
\(339\) −19.5534 + 29.2273i −1.06200 + 1.58741i
\(340\) −5.66900 3.09279i −0.307445 0.167730i
\(341\) 16.0134i 0.867176i
\(342\) 2.77032 + 1.15124i 0.149802 + 0.0622519i
\(343\) 10.2265 10.2265i 0.552177 0.552177i
\(344\) −0.909814 −0.0490539
\(345\) 2.98337 9.52099i 0.160619 0.512593i
\(346\) 8.48560 0.456189
\(347\) −19.5400 + 19.5400i −1.04896 + 1.04896i −0.0502218 + 0.998738i \(0.515993\pi\)
−0.998738 + 0.0502218i \(0.984007\pi\)
\(348\) −9.33342 + 1.85095i −0.500324 + 0.0992213i
\(349\) 33.9607i 1.81787i −0.416934 0.908937i \(-0.636895\pi\)
0.416934 0.908937i \(-0.363105\pi\)
\(350\) 4.78619 3.08089i 0.255832 0.164681i
\(351\) 19.6686 + 3.94764i 1.04983 + 0.210709i
\(352\) −2.23156 2.23156i −0.118942 0.118942i
\(353\) 17.4613 + 17.4613i 0.929372 + 0.929372i 0.997665 0.0682931i \(-0.0217553\pi\)
−0.0682931 + 0.997665i \(0.521755\pi\)
\(354\) −1.82269 1.21940i −0.0968750 0.0648104i
\(355\) 0.595827 + 2.02643i 0.0316232 + 0.107552i
\(356\) 3.27340i 0.173490i
\(357\) −1.10773 5.58575i −0.0586275 0.295629i
\(358\) −7.44325 + 7.44325i −0.393388 + 0.393388i
\(359\) 25.1531 1.32753 0.663766 0.747940i \(-0.268957\pi\)
0.663766 + 0.747940i \(0.268957\pi\)
\(360\) −6.66921 0.722289i −0.351498 0.0380680i
\(361\) −1.00000 −0.0526316
\(362\) −14.7945 + 14.7945i −0.777582 + 0.777582i
\(363\) 0.350513 + 1.76746i 0.0183971 + 0.0927676i
\(364\) 4.39508i 0.230365i
\(365\) −5.48083 + 10.0462i −0.286880 + 0.525843i
\(366\) 3.89221 + 2.60393i 0.203449 + 0.136110i
\(367\) −3.86210 3.86210i −0.201600 0.201600i 0.599085 0.800685i \(-0.295531\pi\)
−0.800685 + 0.599085i \(0.795531\pi\)
\(368\) −1.82163 1.82163i −0.0949589 0.0949589i
\(369\) −7.23436 17.5223i −0.376606 0.912175i
\(370\) −22.0129 + 6.47239i −1.14440 + 0.336484i
\(371\) 5.10191i 0.264878i
\(372\) 8.62077 1.70962i 0.446966 0.0886397i
\(373\) −6.37524 + 6.37524i −0.330098 + 0.330098i −0.852623 0.522526i \(-0.824990\pi\)
0.522526 + 0.852623i \(0.324990\pi\)
\(374\) −9.11425 −0.471287
\(375\) −16.8329 9.57355i −0.869248 0.494376i
\(376\) 4.56187 0.235260
\(377\) 14.9972 14.9972i 0.772393 0.772393i
\(378\) −3.27790 4.92411i −0.168597 0.253269i
\(379\) 14.0745i 0.722958i 0.932380 + 0.361479i \(0.117728\pi\)
−0.932380 + 0.361479i \(0.882272\pi\)
\(380\) 2.14526 0.630765i 0.110049 0.0323576i
\(381\) 2.14654 3.20852i 0.109970 0.164378i
\(382\) −17.5300 17.5300i −0.896915 0.896915i
\(383\) −5.66358 5.66358i −0.289396 0.289396i 0.547446 0.836841i \(-0.315600\pi\)
−0.836841 + 0.547446i \(0.815600\pi\)
\(384\) −0.963104 + 1.43959i −0.0491482 + 0.0734640i
\(385\) 3.84746 7.05229i 0.196085 0.359418i
\(386\) 24.6957i 1.25698i
\(387\) −1.04741 + 2.52047i −0.0532430 + 0.128123i
\(388\) 2.89748 2.89748i 0.147097 0.147097i
\(389\) −1.77092 −0.0897890 −0.0448945 0.998992i \(-0.514295\pi\)
−0.0448945 + 0.998992i \(0.514295\pi\)
\(390\) 13.2507 6.92784i 0.670976 0.350805i
\(391\) −7.44000 −0.376257
\(392\) −4.03335 + 4.03335i −0.203715 + 0.203715i
\(393\) −32.2862 + 6.40282i −1.62863 + 0.322980i
\(394\) 2.35650i 0.118719i
\(395\) 9.47811 + 32.2355i 0.476896 + 1.62194i
\(396\) −8.75117 + 3.61306i −0.439763 + 0.181563i
\(397\) −13.5159 13.5159i −0.678345 0.678345i 0.281281 0.959626i \(-0.409241\pi\)
−0.959626 + 0.281281i \(0.909241\pi\)
\(398\) 19.3835 + 19.3835i 0.971606 + 0.971606i
\(399\) 1.63885 + 1.09641i 0.0820451 + 0.0548891i
\(400\) −4.20427 + 2.70631i −0.210214 + 0.135315i
\(401\) 33.0944i 1.65266i −0.563188 0.826329i \(-0.690425\pi\)
0.563188 0.826329i \(-0.309575\pi\)
\(402\) 1.84343 + 9.29551i 0.0919420 + 0.463618i
\(403\) −13.8521 + 13.8521i −0.690020 + 0.690020i
\(404\) −16.8808 −0.839853
\(405\) −9.67882 + 17.6443i −0.480944 + 0.876751i
\(406\) −6.25397 −0.310379
\(407\) −22.8984 + 22.8984i −1.13503 + 1.13503i
\(408\) 0.973053 + 4.90662i 0.0481733 + 0.242914i
\(409\) 12.5812i 0.622098i 0.950394 + 0.311049i \(0.100680\pi\)
−0.950394 + 0.311049i \(0.899320\pi\)
\(410\) −12.4038 6.76707i −0.612582 0.334202i
\(411\) 30.9942 + 20.7355i 1.52883 + 1.02280i
\(412\) −1.47281 1.47281i −0.0725603 0.0725603i
\(413\) −1.01919 1.01919i −0.0501513 0.0501513i
\(414\) −7.14361 + 2.94935i −0.351089 + 0.144953i
\(415\) −15.4043 8.40399i −0.756166 0.412536i
\(416\) 3.86071i 0.189287i
\(417\) −25.5711 + 5.07111i −1.25222 + 0.248333i
\(418\) 2.23156 2.23156i 0.109149 0.109149i
\(419\) 33.5096 1.63705 0.818525 0.574471i \(-0.194792\pi\)
0.818525 + 0.574471i \(0.194792\pi\)
\(420\) −4.20733 1.31835i −0.205297 0.0643290i
\(421\) −29.7747 −1.45113 −0.725564 0.688154i \(-0.758421\pi\)
−0.725564 + 0.688154i \(0.758421\pi\)
\(422\) −2.60670 + 2.60670i −0.126892 + 0.126892i
\(423\) 5.25180 12.6378i 0.255351 0.614472i
\(424\) 4.48161i 0.217646i
\(425\) −3.05903 + 14.1123i −0.148385 + 0.684547i
\(426\) 0.909759 1.35986i 0.0440779 0.0658852i
\(427\) 2.17641 + 2.17641i 0.105324 + 0.105324i
\(428\) −8.84697 8.84697i −0.427634 0.427634i
\(429\) 11.7345 17.5400i 0.566546 0.846840i
\(430\) 0.573879 + 1.95179i 0.0276749 + 0.0941235i
\(431\) 16.7696i 0.807763i −0.914811 0.403882i \(-0.867661\pi\)
0.914811 0.403882i \(-0.132339\pi\)
\(432\) 2.87936 + 4.32542i 0.138533 + 0.208107i
\(433\) −0.841474 + 0.841474i −0.0404387 + 0.0404387i −0.727037 0.686598i \(-0.759103\pi\)
0.686598 + 0.727037i \(0.259103\pi\)
\(434\) 5.77645 0.277278
\(435\) 9.85796 + 18.8551i 0.472653 + 0.904032i
\(436\) 6.83921 0.327539
\(437\) 1.82163 1.82163i 0.0871402 0.0871402i
\(438\) 8.69517 1.72438i 0.415471 0.0823939i
\(439\) 32.4072i 1.54671i −0.633973 0.773355i \(-0.718577\pi\)
0.633973 0.773355i \(-0.281423\pi\)
\(440\) −3.37968 + 6.19485i −0.161120 + 0.295328i
\(441\) 6.53030 + 15.8170i 0.310967 + 0.753191i
\(442\) −7.88408 7.88408i −0.375007 0.375007i
\(443\) −15.3966 15.3966i −0.731515 0.731515i 0.239405 0.970920i \(-0.423048\pi\)
−0.970920 + 0.239405i \(0.923048\pi\)
\(444\) 14.7719 + 9.88258i 0.701044 + 0.469007i
\(445\) −7.02228 + 2.06474i −0.332888 + 0.0978782i
\(446\) 26.8179i 1.26987i
\(447\) −4.62227 23.3078i −0.218626 1.10242i
\(448\) −0.804978 + 0.804978i −0.0380316 + 0.0380316i
\(449\) 3.69496 0.174376 0.0871879 0.996192i \(-0.472212\pi\)
0.0871879 + 0.996192i \(0.472212\pi\)
\(450\) 2.65720 + 14.7628i 0.125262 + 0.695923i
\(451\) −19.9421 −0.939037
\(452\) 14.3560 14.3560i 0.675250 0.675250i
\(453\) −5.02253 25.3261i −0.235979 1.18992i
\(454\) 2.90877i 0.136515i
\(455\) 9.42858 2.77226i 0.442019 0.129966i
\(456\) −1.43959 0.963104i −0.0674151 0.0451015i
\(457\) 6.23351 + 6.23351i 0.291591 + 0.291591i 0.837709 0.546117i \(-0.183895\pi\)
−0.546117 + 0.837709i \(0.683895\pi\)
\(458\) 11.2242 + 11.2242i 0.524473 + 0.524473i
\(459\) 14.7131 + 2.95303i 0.686749 + 0.137836i
\(460\) −2.75884 + 5.05688i −0.128632 + 0.235778i
\(461\) 3.01803i 0.140563i 0.997527 + 0.0702817i \(0.0223898\pi\)
−0.997527 + 0.0702817i \(0.977610\pi\)
\(462\) −6.10388 + 1.21049i −0.283978 + 0.0563169i
\(463\) 17.1200 17.1200i 0.795634 0.795634i −0.186770 0.982404i \(-0.559802\pi\)
0.982404 + 0.186770i \(0.0598018\pi\)
\(464\) 5.49359 0.255034
\(465\) −9.10526 17.4154i −0.422246 0.807620i
\(466\) 22.0633 1.02206
\(467\) 3.42627 3.42627i 0.158549 0.158549i −0.623375 0.781923i \(-0.714239\pi\)
0.781923 + 0.623375i \(0.214239\pi\)
\(468\) −10.6954 4.44461i −0.494395 0.205452i
\(469\) 6.22857i 0.287608i
\(470\) −2.87747 9.78639i −0.132728 0.451413i
\(471\) −3.58653 + 5.36094i −0.165259 + 0.247019i
\(472\) 0.895279 + 0.895279i 0.0412085 + 0.0412085i
\(473\) 2.03030 + 2.03030i 0.0933533 + 0.0933533i
\(474\) 14.4720 21.6319i 0.664720 0.993585i
\(475\) −2.70631 4.20427i −0.124174 0.192905i
\(476\) 3.28774i 0.150693i
\(477\) 12.4155 + 5.15941i 0.568465 + 0.236233i
\(478\) −3.42833 + 3.42833i −0.156808 + 0.156808i
\(479\) −18.0199 −0.823349 −0.411674 0.911331i \(-0.635056\pi\)
−0.411674 + 0.911331i \(0.635056\pi\)
\(480\) 3.69579 + 1.15806i 0.168689 + 0.0528581i
\(481\) −39.6155 −1.80631
\(482\) −12.0576 + 12.0576i −0.549209 + 0.549209i
\(483\) −4.98262 + 0.988124i −0.226717 + 0.0449612i
\(484\) 1.04032i 0.0472871i
\(485\) −8.04348 4.38822i −0.365236 0.199259i
\(486\) 15.2976 2.99715i 0.693914 0.135954i
\(487\) −3.32991 3.32991i −0.150893 0.150893i 0.627624 0.778517i \(-0.284028\pi\)
−0.778517 + 0.627624i \(0.784028\pi\)
\(488\) −1.91180 1.91180i −0.0865429 0.0865429i
\(489\) −17.2910 11.5679i −0.781928 0.523119i
\(490\) 11.1967 + 6.10849i 0.505814 + 0.275953i
\(491\) 40.7725i 1.84004i −0.391873 0.920020i \(-0.628173\pi\)
0.391873 0.920020i \(-0.371827\pi\)
\(492\) 2.12905 + 10.7357i 0.0959851 + 0.484005i
\(493\) 11.2186 11.2186i 0.505262 0.505262i
\(494\) 3.86071 0.173702
\(495\) 13.2709 + 16.4945i 0.596482 + 0.741374i
\(496\) −5.07413 −0.227835
\(497\) 0.760391 0.760391i 0.0341082 0.0341082i
\(498\) 2.64406 + 13.3327i 0.118483 + 0.597451i
\(499\) 28.4698i 1.27449i −0.770663 0.637243i \(-0.780075\pi\)
0.770663 0.637243i \(-0.219925\pi\)
\(500\) 8.45764 + 7.31221i 0.378237 + 0.327012i
\(501\) −4.60615 3.08157i −0.205788 0.137674i
\(502\) −5.61351 5.61351i −0.250543 0.250543i
\(503\) −19.2777 19.2777i −0.859549 0.859549i 0.131736 0.991285i \(-0.457945\pi\)
−0.991285 + 0.131736i \(0.957945\pi\)
\(504\) 1.30332 + 3.15677i 0.0580545 + 0.140614i
\(505\) 10.6478 + 36.2138i 0.473823 + 1.61149i
\(506\) 8.13012i 0.361428i
\(507\) 3.23671 0.641885i 0.143747 0.0285071i
\(508\) −1.57598 + 1.57598i −0.0699227 + 0.0699227i
\(509\) 30.9140 1.37024 0.685120 0.728431i \(-0.259750\pi\)
0.685120 + 0.728431i \(0.259750\pi\)
\(510\) 9.91220 5.18237i 0.438920 0.229479i
\(511\) 5.82630 0.257740
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −4.32542 + 2.87936i −0.190972 + 0.127127i
\(514\) 24.0262i 1.05975i
\(515\) −2.23057 + 4.08856i −0.0982905 + 0.180164i
\(516\) 0.876246 1.30976i 0.0385746 0.0576591i
\(517\) −10.1801 10.1801i −0.447719 0.447719i
\(518\) 8.26002 + 8.26002i 0.362924 + 0.362924i
\(519\) −8.17252 + 12.2158i −0.358734 + 0.536215i
\(520\) −8.28223 + 2.43520i −0.363200 + 0.106791i
\(521\) 24.0255i 1.05258i −0.850306 0.526289i \(-0.823583\pi\)
0.850306 0.526289i \(-0.176417\pi\)
\(522\) 6.32444 15.2190i 0.276813 0.666117i
\(523\) −28.0008 + 28.0008i −1.22439 + 1.22439i −0.258331 + 0.966056i \(0.583172\pi\)
−0.966056 + 0.258331i \(0.916828\pi\)
\(524\) 19.0035 0.830171
\(525\) −0.174369 + 9.85738i −0.00761008 + 0.430212i
\(526\) −3.25621 −0.141977
\(527\) −10.3620 + 10.3620i −0.451377 + 0.451377i
\(528\) 5.36176 1.06331i 0.233340 0.0462747i
\(529\) 16.3634i 0.711450i
\(530\) 9.61421 2.82684i 0.417615 0.122790i
\(531\) 3.51088 1.44952i 0.152359 0.0629040i
\(532\) −0.804978 0.804978i −0.0349002 0.0349002i
\(533\) −17.2505 17.2505i −0.747200 0.747200i
\(534\) 4.71236 + 3.15262i 0.203924 + 0.136427i
\(535\) −13.3987 + 24.5594i −0.579276 + 1.06180i
\(536\) 5.47128i 0.236323i
\(537\) −3.54663 17.8839i −0.153048 0.771746i
\(538\) 11.2908 11.2908i 0.486780 0.486780i
\(539\) 18.0013 0.775371
\(540\) 7.46294 8.90531i 0.321154 0.383223i
\(541\) 30.2843 1.30202 0.651012 0.759067i \(-0.274345\pi\)
0.651012 + 0.759067i \(0.274345\pi\)
\(542\) −4.18110 + 4.18110i −0.179594 + 0.179594i
\(543\) −7.04942 35.5467i −0.302520 1.52546i
\(544\) 2.88801i 0.123822i
\(545\) −4.31393 14.6719i −0.184788 0.628474i
\(546\) −6.32713 4.23292i −0.270776 0.181152i
\(547\) −20.9852 20.9852i −0.897263 0.897263i 0.0979302 0.995193i \(-0.468778\pi\)
−0.995193 + 0.0979302i \(0.968778\pi\)
\(548\) −15.2239 15.2239i −0.650332 0.650332i
\(549\) −7.49721 + 3.09534i −0.319973 + 0.132106i
\(550\) 15.4213 + 3.34279i 0.657568 + 0.142537i
\(551\) 5.49359i 0.234035i
\(552\) 4.37682 0.867985i 0.186290 0.0369439i
\(553\) 12.0959 12.0959i 0.514370 0.514370i
\(554\) 24.9457 1.05984
\(555\) 11.8831 37.9232i 0.504409 1.60975i
\(556\) 15.0510 0.638304
\(557\) 19.6777 19.6777i 0.833770 0.833770i −0.154260 0.988030i \(-0.549299\pi\)
0.988030 + 0.154260i \(0.0492995\pi\)
\(558\) −5.84154 + 14.0569i −0.247292 + 0.595078i
\(559\) 3.51253i 0.148564i
\(560\) 2.23464 + 1.21913i 0.0944307 + 0.0515178i
\(561\) 8.77798 13.1208i 0.370606 0.553961i
\(562\) −8.33844 8.33844i −0.351736 0.351736i
\(563\) 11.9658 + 11.9658i 0.504296 + 0.504296i 0.912770 0.408474i \(-0.133939\pi\)
−0.408474 + 0.912770i \(0.633939\pi\)
\(564\) −4.39356 + 6.56724i −0.185002 + 0.276531i
\(565\) −39.8526 21.7421i −1.67661 0.914697i
\(566\) 6.82505i 0.286878i
\(567\) 10.2457 + 0.0235843i 0.430278 + 0.000990446i
\(568\) −0.667940 + 0.667940i −0.0280262 + 0.0280262i
\(569\) 27.2399 1.14195 0.570977 0.820966i \(-0.306564\pi\)
0.570977 + 0.820966i \(0.306564\pi\)
\(570\) −1.15806 + 3.69579i −0.0485059 + 0.154800i
\(571\) 6.63803 0.277793 0.138896 0.990307i \(-0.455644\pi\)
0.138896 + 0.990307i \(0.455644\pi\)
\(572\) −8.61540 + 8.61540i −0.360228 + 0.360228i
\(573\) 42.1194 8.35287i 1.75956 0.348946i
\(574\) 7.19361i 0.300256i
\(575\) 12.5885 + 2.72873i 0.524977 + 0.113796i
\(576\) −1.14486 2.77296i −0.0477025 0.115540i
\(577\) 24.2437 + 24.2437i 1.00928 + 1.00928i 0.999957 + 0.00932364i \(0.00296785\pi\)
0.00932364 + 0.999957i \(0.497032\pi\)
\(578\) 6.12313 + 6.12313i 0.254689 + 0.254689i
\(579\) 35.5518 + 23.7845i 1.47748 + 0.988452i
\(580\) −3.46517 11.7852i −0.143883 0.489353i
\(581\) 8.93371i 0.370633i
\(582\) 1.38062 + 6.96178i 0.0572285 + 0.288575i
\(583\) 10.0010 10.0010i 0.414197 0.414197i
\(584\) −5.11793 −0.211781
\(585\) −2.78855 + 25.7479i −0.115292 + 1.06454i
\(586\) 16.0915 0.664732
\(587\) 30.9059 30.9059i 1.27562 1.27562i 0.332528 0.943093i \(-0.392098\pi\)
0.943093 0.332528i \(-0.107902\pi\)
\(588\) −1.92185 9.69093i −0.0792557 0.399647i
\(589\) 5.07413i 0.209076i
\(590\) 1.35589 2.48531i 0.0558213 0.102319i
\(591\) −3.39240 2.26955i −0.139545 0.0933570i
\(592\) −7.25575 7.25575i −0.298209 0.298209i
\(593\) 25.3962 + 25.3962i 1.04290 + 1.04290i 0.999038 + 0.0438587i \(0.0139652\pi\)
0.0438587 + 0.999038i \(0.486035\pi\)
\(594\) 3.22695 16.0779i 0.132404 0.659683i
\(595\) 7.05305 2.07379i 0.289147 0.0850171i
\(596\) 13.7188i 0.561945i
\(597\) −46.5726 + 9.23601i −1.90609 + 0.378005i
\(598\) −7.03278 + 7.03278i −0.287592 + 0.287592i
\(599\) −24.9746 −1.02043 −0.510217 0.860046i \(-0.670435\pi\)
−0.510217 + 0.860046i \(0.670435\pi\)
\(600\) 0.153169 8.65890i 0.00625308 0.353498i
\(601\) 32.6339 1.33116 0.665582 0.746325i \(-0.268183\pi\)
0.665582 + 0.746325i \(0.268183\pi\)
\(602\) 0.732380 0.732380i 0.0298496 0.0298496i
\(603\) −15.1572 6.29876i −0.617248 0.256505i
\(604\) 14.9068i 0.606549i
\(605\) −2.23175 + 0.656195i −0.0907335 + 0.0266781i
\(606\) 16.2580 24.3016i 0.660437 0.987183i
\(607\) −8.92349 8.92349i −0.362193 0.362193i 0.502427 0.864620i \(-0.332441\pi\)
−0.864620 + 0.502427i \(0.832441\pi\)
\(608\) 0.707107 + 0.707107i 0.0286770 + 0.0286770i
\(609\) 6.02322 9.00317i 0.244073 0.364827i
\(610\) −2.89540 + 5.30719i −0.117231 + 0.214882i
\(611\) 17.6121i 0.712508i
\(612\) −8.00069 3.32479i −0.323409 0.134397i
\(613\) −3.94769 + 3.94769i −0.159446 + 0.159446i −0.782321 0.622875i \(-0.785964\pi\)
0.622875 + 0.782321i \(0.285964\pi\)
\(614\) 4.56587 0.184264
\(615\) 21.6880 11.3391i 0.874546 0.457237i
\(616\) 3.59271 0.144754
\(617\) −4.00994 + 4.00994i −0.161434 + 0.161434i −0.783202 0.621768i \(-0.786415\pi\)
0.621768 + 0.783202i \(0.286415\pi\)
\(618\) 3.53873 0.701779i 0.142348 0.0282297i
\(619\) 13.4636i 0.541147i 0.962699 + 0.270573i \(0.0872133\pi\)
−0.962699 + 0.270573i \(0.912787\pi\)
\(620\) 3.20058 + 10.8853i 0.128539 + 0.437165i
\(621\) 2.63417 13.1244i 0.105706 0.526665i
\(622\) 5.74950 + 5.74950i 0.230534 + 0.230534i
\(623\) 2.63501 + 2.63501i 0.105570 + 0.105570i
\(624\) 5.55786 + 3.71827i 0.222492 + 0.148850i
\(625\) 10.3518 22.7561i 0.414072 0.910244i
\(626\) 28.0858i 1.12253i
\(627\) 1.06331 + 5.36176i 0.0424646 + 0.214128i
\(628\) 2.63322 2.63322i 0.105077 0.105077i
\(629\) −29.6344 −1.18160
\(630\) 5.94999 4.78714i 0.237053 0.190724i
\(631\) 24.4689 0.974092 0.487046 0.873376i \(-0.338074\pi\)
0.487046 + 0.873376i \(0.338074\pi\)
\(632\) −10.6253 + 10.6253i −0.422650 + 0.422650i
\(633\) −1.24207 6.26312i −0.0493677 0.248937i
\(634\) 11.1723i 0.443709i
\(635\) 4.37495 + 2.38681i 0.173615 + 0.0947177i
\(636\) −6.45170 4.31626i −0.255826 0.171151i
\(637\) 15.5716 + 15.5716i 0.616970 + 0.616970i
\(638\) −12.2593 12.2593i −0.485349 0.485349i
\(639\) 1.08145 + 2.61937i 0.0427814 + 0.103620i
\(640\) −1.96295 1.07091i −0.0775922 0.0423314i
\(641\) 14.3767i 0.567845i 0.958847 + 0.283922i \(0.0916358\pi\)
−0.958847 + 0.283922i \(0.908364\pi\)
\(642\) 21.2566 4.21549i 0.838931 0.166372i
\(643\) 2.63234 2.63234i 0.103809 0.103809i −0.653294 0.757104i \(-0.726614\pi\)
0.757104 + 0.653294i \(0.226614\pi\)
\(644\) 2.93274 0.115566
\(645\) −3.36248 1.05362i −0.132398 0.0414863i
\(646\) 2.88801 0.113627
\(647\) 7.51216 7.51216i 0.295333 0.295333i −0.543849 0.839183i \(-0.683034\pi\)
0.839183 + 0.543849i \(0.183034\pi\)
\(648\) −8.99998 0.0207168i −0.353552 0.000813834i
\(649\) 3.99573i 0.156846i
\(650\) 10.4483 + 16.2315i 0.409815 + 0.636651i
\(651\) −5.56332 + 8.31574i −0.218044 + 0.325919i
\(652\) 8.49310 + 8.49310i 0.332616 + 0.332616i
\(653\) 7.41773 + 7.41773i 0.290278 + 0.290278i 0.837190 0.546912i \(-0.184197\pi\)
−0.546912 + 0.837190i \(0.684197\pi\)
\(654\) −6.58687 + 9.84568i −0.257567 + 0.384996i
\(655\) −11.9867 40.7674i −0.468360 1.59291i
\(656\) 6.31900i 0.246715i
\(657\) −5.89196 + 14.1783i −0.229867 + 0.553147i
\(658\) −3.67220 + 3.67220i −0.143157 + 0.143157i
\(659\) −31.2034 −1.21551 −0.607755 0.794124i \(-0.707930\pi\)
−0.607755 + 0.794124i \(0.707930\pi\)
\(660\) −5.66309 10.8317i −0.220435 0.421622i
\(661\) −27.3601 −1.06418 −0.532092 0.846687i \(-0.678594\pi\)
−0.532092 + 0.846687i \(0.678594\pi\)
\(662\) 20.6663 20.6663i 0.803217 0.803217i
\(663\) 18.9431 3.75668i 0.735687 0.145897i
\(664\) 7.84753i 0.304543i
\(665\) −1.21913 + 2.23464i −0.0472760 + 0.0866555i
\(666\) −28.4538 + 11.7476i −1.10256 + 0.455210i
\(667\) −10.0073 10.0073i −0.387483 0.387483i
\(668\) 2.26247 + 2.26247i 0.0875377 + 0.0875377i
\(669\) −38.6069 25.8285i −1.49263 0.998586i
\(670\) −11.7373 + 3.45109i −0.453452 + 0.133327i
\(671\) 8.53256i 0.329396i
\(672\) −0.383563 1.93412i −0.0147963 0.0746103i
\(673\) −20.4515 + 20.4515i −0.788346 + 0.788346i −0.981223 0.192877i \(-0.938218\pi\)
0.192877 + 0.981223i \(0.438218\pi\)
\(674\) −15.5505 −0.598982
\(675\) −23.8115 10.3928i −0.916507 0.400019i
\(676\) −1.90511 −0.0732734
\(677\) −26.1264 + 26.1264i −1.00412 + 1.00412i −0.00412796 + 0.999991i \(0.501314\pi\)
−0.999991 + 0.00412796i \(0.998686\pi\)
\(678\) 6.84049 + 34.4932i 0.262707 + 1.32470i
\(679\) 4.66482i 0.179019i
\(680\) −6.19552 + 1.82165i −0.237587 + 0.0698572i
\(681\) 4.18744 + 2.80144i 0.160463 + 0.107352i
\(682\) 11.3232 + 11.3232i 0.433588 + 0.433588i
\(683\) −17.6171 17.6171i −0.674101 0.674101i 0.284558 0.958659i \(-0.408153\pi\)
−0.958659 + 0.284558i \(0.908153\pi\)
\(684\) 2.77296 1.14486i 0.106027 0.0437748i
\(685\) −23.0565 + 42.2619i −0.880943 + 1.61474i
\(686\) 14.4624i 0.552177i
\(687\) −26.9684 + 5.34821i −1.02891 + 0.204047i
\(688\) −0.643335 + 0.643335i −0.0245269 + 0.0245269i
\(689\) 17.3022 0.659162
\(690\) −4.62280 8.84192i −0.175987 0.336606i
\(691\) 31.9422 1.21514 0.607569 0.794267i \(-0.292145\pi\)
0.607569 + 0.794267i \(0.292145\pi\)
\(692\) 6.00022 6.00022i 0.228094 0.228094i
\(693\) 4.13607 9.95293i 0.157116 0.378081i
\(694\) 27.6337i 1.04896i
\(695\) −9.49363 32.2882i −0.360114 1.22476i
\(696\) −5.29091 + 7.90854i −0.200551 + 0.299773i
\(697\) −12.9042 12.9042i −0.488782 0.488782i
\(698\) −24.0138 24.0138i −0.908937 0.908937i
\(699\) −21.2493 + 31.7622i −0.803722 + 1.20136i
\(700\) 1.20583 5.56286i 0.0455760 0.210257i
\(701\) 25.7033i 0.970801i 0.874292 + 0.485401i \(0.161326\pi\)
−0.874292 + 0.485401i \(0.838674\pi\)
\(702\) 16.6992 11.1164i 0.630271 0.419562i
\(703\) 7.25575 7.25575i 0.273656 0.273656i
\(704\) −3.15590 −0.118942
\(705\) 16.8597 + 5.28293i 0.634974 + 0.198967i
\(706\) 24.6940 0.929372
\(707\) 13.5887 13.5887i 0.511056 0.511056i
\(708\) −2.15108 + 0.426591i −0.0808427 + 0.0160323i
\(709\) 33.4122i 1.25482i 0.778689 + 0.627410i \(0.215885\pi\)
−0.778689 + 0.627410i \(0.784115\pi\)
\(710\) 1.85422 + 1.01159i 0.0695876 + 0.0379644i
\(711\) 17.2031 + 41.6675i 0.645166 + 1.56265i
\(712\) −2.31464 2.31464i −0.0867448 0.0867448i
\(713\) 9.24318 + 9.24318i 0.346160 + 0.346160i
\(714\) −4.73301 3.16644i −0.177128 0.118501i
\(715\) 23.9165 + 13.0480i 0.894428 + 0.487966i
\(716\) 10.5263i 0.393388i
\(717\) −1.63356 8.23724i −0.0610065 0.307625i
\(718\) 17.7860 17.7860i 0.663766 0.663766i
\(719\) −0.187398 −0.00698877 −0.00349439 0.999994i \(-0.501112\pi\)
−0.00349439 + 0.999994i \(0.501112\pi\)
\(720\) −5.22658 + 4.20510i −0.194783 + 0.156715i
\(721\) 2.37116 0.0883068
\(722\) −0.707107 + 0.707107i −0.0263158 + 0.0263158i
\(723\) −5.74532 28.9708i −0.213671 1.07744i
\(724\) 20.9226i 0.777582i
\(725\) −23.0966 + 14.8674i −0.857785 + 0.552160i
\(726\) 1.49763 + 1.00193i 0.0555824 + 0.0371852i
\(727\) 0.711792 + 0.711792i 0.0263989 + 0.0263989i 0.720183 0.693784i \(-0.244058\pi\)
−0.693784 + 0.720183i \(0.744058\pi\)
\(728\) 3.10779 + 3.10779i 0.115182 + 0.115182i
\(729\) −10.4185 + 24.9089i −0.385871 + 0.922553i
\(730\) 3.22821 + 10.9793i 0.119481 + 0.406361i
\(731\) 2.62755i 0.0971834i
\(732\) 4.59347 0.910950i 0.169779 0.0336697i
\(733\) −12.3766 + 12.3766i −0.457142 + 0.457142i −0.897716 0.440574i \(-0.854775\pi\)
0.440574 + 0.897716i \(0.354775\pi\)
\(734\) −5.46183 −0.201600
\(735\) −19.5773 + 10.2356i −0.722120 + 0.377544i
\(736\) −2.57617 −0.0949589
\(737\) −12.2095 + 12.2095i −0.449742 + 0.449742i
\(738\) −17.5056 7.27468i −0.644391 0.267785i
\(739\) 0.0763442i 0.00280837i −0.999999 0.00140418i \(-0.999553\pi\)
0.999999 0.00140418i \(-0.000446966\pi\)
\(740\) −10.9888 + 20.1421i −0.403956 + 0.740439i
\(741\) −3.71827 + 5.55786i −0.136594 + 0.204173i
\(742\) −3.60760 3.60760i −0.132439 0.132439i
\(743\) −33.1046 33.1046i −1.21449 1.21449i −0.969534 0.244956i \(-0.921227\pi\)
−0.244956 0.969534i \(-0.578773\pi\)
\(744\) 4.88692 7.30469i 0.179163 0.267803i
\(745\) 29.4304 8.65336i 1.07825 0.317034i
\(746\) 9.01595i 0.330098i
\(747\) −21.7401 9.03439i −0.795430 0.330551i
\(748\) −6.44475 + 6.44475i −0.235643 + 0.235643i
\(749\) 14.2432 0.520436
\(750\) −18.6722 + 5.13314i −0.681812 + 0.187436i
\(751\) 33.2419 1.21301 0.606506 0.795079i \(-0.292570\pi\)
0.606506 + 0.795079i \(0.292570\pi\)
\(752\) 3.22573 3.22573i 0.117630 0.117630i
\(753\) 13.4876 2.67478i 0.491515 0.0974743i
\(754\) 21.2092i 0.772393i
\(755\) 31.9789 9.40269i 1.16383 0.342199i
\(756\) −5.79969 1.16404i −0.210933 0.0423358i
\(757\) 18.1270 + 18.1270i 0.658838 + 0.658838i 0.955105 0.296267i \(-0.0957420\pi\)
−0.296267 + 0.955105i \(0.595742\pi\)
\(758\) 9.95217 + 9.95217i 0.361479 + 0.361479i
\(759\) −11.7041 7.83016i −0.424831 0.284217i
\(760\) 1.07091 1.96295i 0.0388460 0.0712035i
\(761\) 16.7931i 0.608751i −0.952552 0.304375i \(-0.901552\pi\)
0.952552 0.304375i \(-0.0984477\pi\)
\(762\) −0.750937 3.78660i −0.0272036 0.137174i
\(763\) −5.50541 + 5.50541i −0.199309 + 0.199309i
\(764\) −24.7912 −0.896915
\(765\) −2.08598 + 19.2607i −0.0754186 + 0.696373i
\(766\) −8.00952 −0.289396
\(767\) 3.45641 3.45641i 0.124804 0.124804i
\(768\) 0.336929 + 1.69896i 0.0121579 + 0.0613061i
\(769\) 0.877088i 0.0316286i 0.999875 + 0.0158143i \(0.00503406\pi\)
−0.999875 + 0.0158143i \(0.994966\pi\)
\(770\) −2.26615 7.70729i −0.0816665 0.277751i
\(771\) −34.5880 23.1398i −1.24566 0.833359i
\(772\) −17.4625 17.4625i −0.628489 0.628489i
\(773\) −19.6669 19.6669i −0.707370 0.707370i 0.258611 0.965981i \(-0.416735\pi\)
−0.965981 + 0.258611i \(0.916735\pi\)
\(774\) 1.04161 + 2.52288i 0.0374399 + 0.0906829i
\(775\) 21.3330 13.7322i 0.766305 0.493274i
\(776\) 4.09766i 0.147097i
\(777\) −19.8463 + 3.93581i −0.711983 + 0.141196i
\(778\)