Properties

Label 76.2.k.a.51.5
Level $76$
Weight $2$
Character 76.51
Analytic conductor $0.607$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 76 = 2^{2} \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 76.k (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.606863055362\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(8\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 51.5
Character \(\chi\) \(=\) 76.51
Dual form 76.2.k.a.3.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.223323 + 1.39647i) q^{2} +(0.855656 + 0.311433i) q^{3} +(-1.90025 + 0.623726i) q^{4} +(-0.00805719 - 0.0456946i) q^{5} +(-0.243820 + 1.26445i) q^{6} +(1.20959 + 0.698356i) q^{7} +(-1.29538 - 2.51435i) q^{8} +(-1.66298 - 1.39540i) q^{9} +O(q^{10})\) \(q+(0.223323 + 1.39647i) q^{2} +(0.855656 + 0.311433i) q^{3} +(-1.90025 + 0.623726i) q^{4} +(-0.00805719 - 0.0456946i) q^{5} +(-0.243820 + 1.26445i) q^{6} +(1.20959 + 0.698356i) q^{7} +(-1.29538 - 2.51435i) q^{8} +(-1.66298 - 1.39540i) q^{9} +(0.0620117 - 0.0214562i) q^{10} +(1.13484 - 0.655201i) q^{11} +(-1.82021 - 0.0581071i) q^{12} +(-0.681875 - 1.87343i) q^{13} +(-0.705104 + 1.84511i) q^{14} +(0.00733663 - 0.0416081i) q^{15} +(3.22193 - 2.37048i) q^{16} +(-0.910294 + 0.763828i) q^{17} +(1.57726 - 2.63392i) q^{18} +(4.35476 + 0.189811i) q^{19} +(0.0438116 + 0.0818058i) q^{20} +(0.817500 + 0.974258i) q^{21} +(1.16840 + 1.43845i) q^{22} +(-8.42847 - 1.48617i) q^{23} +(-0.325350 - 2.55485i) q^{24} +(4.69644 - 1.70936i) q^{25} +(2.46392 - 1.37060i) q^{26} +(-2.35422 - 4.07762i) q^{27} +(-2.73411 - 0.572602i) q^{28} +(-3.45448 + 4.11689i) q^{29} +(0.0597429 + 0.000953352i) q^{30} +(-3.06782 + 5.31361i) q^{31} +(4.02983 + 3.96995i) q^{32} +(1.17509 - 0.207199i) q^{33} +(-1.26995 - 1.10062i) q^{34} +(0.0221652 - 0.0608984i) q^{35} +(4.03043 + 1.61438i) q^{36} +4.41365i q^{37} +(0.707452 + 6.12368i) q^{38} -1.81537i q^{39} +(-0.104455 + 0.0794507i) q^{40} +(-2.39968 + 6.59307i) q^{41} +(-1.17796 + 1.35919i) q^{42} +(0.406170 - 0.0716188i) q^{43} +(-1.74782 + 1.95288i) q^{44} +(-0.0503634 + 0.0872320i) q^{45} +(0.193118 - 12.1020i) q^{46} +(-5.36271 + 6.39102i) q^{47} +(3.49511 - 1.02490i) q^{48} +(-2.52460 - 4.37273i) q^{49} +(3.43590 + 6.17670i) q^{50} +(-1.01678 + 0.370078i) q^{51} +(2.46425 + 3.13470i) q^{52} +(5.17907 + 0.913210i) q^{53} +(5.16853 - 4.19822i) q^{54} +(-0.0390828 - 0.0465770i) q^{55} +(0.189033 - 3.94597i) q^{56} +(3.66707 + 1.51863i) q^{57} +(-6.52057 - 3.90468i) q^{58} +(8.98054 - 7.53557i) q^{59} +(0.0120106 + 0.0836420i) q^{60} +(2.12915 - 12.0750i) q^{61} +(-8.10541 - 3.09746i) q^{62} +(-1.03703 - 2.84921i) q^{63} +(-4.64396 + 6.51411i) q^{64} +(-0.0801118 + 0.0462526i) q^{65} +(0.551770 + 1.59470i) q^{66} +(8.40871 + 7.05575i) q^{67} +(1.25337 - 2.01924i) q^{68} +(-6.74903 - 3.89655i) q^{69} +(0.0899927 + 0.0173530i) q^{70} +(-1.06152 - 6.02019i) q^{71} +(-1.35434 + 5.98890i) q^{72} +(-6.09478 - 2.21832i) q^{73} +(-6.16352 + 0.985667i) q^{74} +4.55089 q^{75} +(-8.39355 + 2.35549i) q^{76} +1.83025 q^{77} +(2.53511 - 0.405414i) q^{78} +(10.3375 + 3.76254i) q^{79} +(-0.134278 - 0.128125i) q^{80} +(0.386407 + 2.19142i) q^{81} +(-9.74293 - 1.87870i) q^{82} +(0.635962 + 0.367173i) q^{83} +(-2.16113 - 1.34144i) q^{84} +(0.0422372 + 0.0354412i) q^{85} +(0.190720 + 0.551210i) q^{86} +(-4.23798 + 2.44680i) q^{87} +(-3.11746 - 2.00466i) q^{88} +(-4.73119 - 12.9988i) q^{89} +(-0.133064 - 0.0508501i) q^{90} +(0.483537 - 2.74227i) q^{91} +(16.9432 - 2.43296i) q^{92} +(-4.27983 + 3.59121i) q^{93} +(-10.1225 - 6.06159i) q^{94} +(-0.0264138 - 0.200518i) q^{95} +(2.21177 + 4.65193i) q^{96} +(5.45960 + 6.50649i) q^{97} +(5.54259 - 4.50205i) q^{98} +(-2.80148 - 0.493977i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} + O(q^{10}) \) \( 48q - 6q^{2} - 12q^{5} - 12q^{6} - 9q^{8} - 18q^{9} - 3q^{10} - 9q^{12} - 3q^{14} - 12q^{17} - 42q^{20} - 18q^{21} - 12q^{22} + 24q^{24} - 12q^{25} + 21q^{26} - 12q^{29} + 42q^{30} + 9q^{32} - 36q^{33} + 87q^{36} + 60q^{38} + 6q^{40} + 30q^{41} + 3q^{42} + 45q^{44} - 6q^{45} + 36q^{46} + 45q^{48} - 18q^{49} + 18q^{50} - 15q^{52} - 24q^{53} - 75q^{54} - 12q^{57} + 60q^{58} + 6q^{60} - 66q^{62} - 45q^{64} + 18q^{65} - 42q^{66} - 42q^{68} + 126q^{69} - 63q^{70} - 78q^{72} - 12q^{73} - 105q^{74} - 126q^{76} - 36q^{77} + 3q^{78} - 3q^{80} + 72q^{81} - 111q^{82} - 117q^{84} + 108q^{85} - 24q^{86} - 81q^{88} - 18q^{90} + 36q^{92} + 30q^{93} - 66q^{96} - 6q^{97} + 39q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/76\mathbb{Z}\right)^\times\).

\(n\) \(21\) \(39\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.223323 + 1.39647i 0.157913 + 0.987453i
\(3\) 0.855656 + 0.311433i 0.494013 + 0.179806i 0.576999 0.816745i \(-0.304223\pi\)
−0.0829861 + 0.996551i \(0.526446\pi\)
\(4\) −1.90025 + 0.623726i −0.950127 + 0.311863i
\(5\) −0.00805719 0.0456946i −0.00360328 0.0204352i 0.982953 0.183856i \(-0.0588582\pi\)
−0.986556 + 0.163421i \(0.947747\pi\)
\(6\) −0.243820 + 1.26445i −0.0995390 + 0.516209i
\(7\) 1.20959 + 0.698356i 0.457181 + 0.263954i 0.710858 0.703335i \(-0.248307\pi\)
−0.253677 + 0.967289i \(0.581640\pi\)
\(8\) −1.29538 2.51435i −0.457988 0.888959i
\(9\) −1.66298 1.39540i −0.554326 0.465134i
\(10\) 0.0620117 0.0214562i 0.0196098 0.00678506i
\(11\) 1.13484 0.655201i 0.342167 0.197550i −0.319063 0.947734i \(-0.603368\pi\)
0.661230 + 0.750183i \(0.270035\pi\)
\(12\) −1.82021 0.0581071i −0.525450 0.0167741i
\(13\) −0.681875 1.87343i −0.189118 0.519597i 0.808506 0.588488i \(-0.200276\pi\)
−0.997624 + 0.0688902i \(0.978054\pi\)
\(14\) −0.705104 + 1.84511i −0.188447 + 0.493127i
\(15\) 0.00733663 0.0416081i 0.00189431 0.0107432i
\(16\) 3.22193 2.37048i 0.805483 0.592619i
\(17\) −0.910294 + 0.763828i −0.220779 + 0.185255i −0.746468 0.665421i \(-0.768252\pi\)
0.525689 + 0.850677i \(0.323807\pi\)
\(18\) 1.57726 2.63392i 0.371763 0.620821i
\(19\) 4.35476 + 0.189811i 0.999051 + 0.0435456i
\(20\) 0.0438116 + 0.0818058i 0.00979658 + 0.0182923i
\(21\) 0.817500 + 0.974258i 0.178393 + 0.212601i
\(22\) 1.16840 + 1.43845i 0.249105 + 0.306679i
\(23\) −8.42847 1.48617i −1.75746 0.309887i −0.800331 0.599559i \(-0.795343\pi\)
−0.957126 + 0.289672i \(0.906454\pi\)
\(24\) −0.325350 2.55485i −0.0664118 0.521506i
\(25\) 4.69644 1.70936i 0.939288 0.341873i
\(26\) 2.46392 1.37060i 0.483214 0.268796i
\(27\) −2.35422 4.07762i −0.453069 0.784739i
\(28\) −2.73411 0.572602i −0.516698 0.108212i
\(29\) −3.45448 + 4.11689i −0.641480 + 0.764487i −0.984603 0.174804i \(-0.944071\pi\)
0.343123 + 0.939291i \(0.388515\pi\)
\(30\) 0.0597429 0.000953352i 0.0109075 0.000174057i
\(31\) −3.06782 + 5.31361i −0.550996 + 0.954353i 0.447207 + 0.894431i \(0.352419\pi\)
−0.998203 + 0.0599227i \(0.980915\pi\)
\(32\) 4.02983 + 3.96995i 0.712380 + 0.701794i
\(33\) 1.17509 0.207199i 0.204556 0.0360688i
\(34\) −1.26995 1.10062i −0.217795 0.188754i
\(35\) 0.0221652 0.0608984i 0.00374660 0.0102937i
\(36\) 4.03043 + 1.61438i 0.671738 + 0.269063i
\(37\) 4.41365i 0.725599i 0.931867 + 0.362800i \(0.118179\pi\)
−0.931867 + 0.362800i \(0.881821\pi\)
\(38\) 0.707452 + 6.12368i 0.114764 + 0.993393i
\(39\) 1.81537i 0.290693i
\(40\) −0.104455 + 0.0794507i −0.0165158 + 0.0125623i
\(41\) −2.39968 + 6.59307i −0.374767 + 1.02966i 0.598727 + 0.800953i \(0.295673\pi\)
−0.973494 + 0.228712i \(0.926549\pi\)
\(42\) −1.17796 + 1.35919i −0.181763 + 0.209727i
\(43\) 0.406170 0.0716188i 0.0619404 0.0109218i −0.142592 0.989782i \(-0.545544\pi\)
0.204532 + 0.978860i \(0.434433\pi\)
\(44\) −1.74782 + 1.95288i −0.263494 + 0.294408i
\(45\) −0.0503634 + 0.0872320i −0.00750774 + 0.0130038i
\(46\) 0.193118 12.1020i 0.0284737 1.78434i
\(47\) −5.36271 + 6.39102i −0.782231 + 0.932227i −0.999032 0.0439892i \(-0.985993\pi\)
0.216801 + 0.976216i \(0.430438\pi\)
\(48\) 3.49511 1.02490i 0.504476 0.147931i
\(49\) −2.52460 4.37273i −0.360657 0.624676i
\(50\) 3.43590 + 6.17670i 0.485909 + 0.873517i
\(51\) −1.01678 + 0.370078i −0.142378 + 0.0518213i
\(52\) 2.46425 + 3.13470i 0.341729 + 0.434705i
\(53\) 5.17907 + 0.913210i 0.711400 + 0.125439i 0.517626 0.855607i \(-0.326816\pi\)
0.193774 + 0.981046i \(0.437927\pi\)
\(54\) 5.16853 4.19822i 0.703347 0.571305i
\(55\) −0.0390828 0.0465770i −0.00526992 0.00628044i
\(56\) 0.189033 3.94597i 0.0252606 0.527303i
\(57\) 3.66707 + 1.51863i 0.485715 + 0.201148i
\(58\) −6.52057 3.90468i −0.856193 0.512709i
\(59\) 8.98054 7.53557i 1.16917 0.981048i 0.169178 0.985586i \(-0.445889\pi\)
0.999990 + 0.00453778i \(0.00144442\pi\)
\(60\) 0.0120106 + 0.0836420i 0.00155056 + 0.0107981i
\(61\) 2.12915 12.0750i 0.272610 1.54605i −0.473841 0.880610i \(-0.657133\pi\)
0.746452 0.665440i \(-0.231756\pi\)
\(62\) −8.10541 3.09746i −1.02939 0.393378i
\(63\) −1.03703 2.84921i −0.130653 0.358967i
\(64\) −4.64396 + 6.51411i −0.580495 + 0.814264i
\(65\) −0.0801118 + 0.0462526i −0.00993665 + 0.00573693i
\(66\) 0.551770 + 1.59470i 0.0679182 + 0.196294i
\(67\) 8.40871 + 7.05575i 1.02729 + 0.861997i 0.990526 0.137327i \(-0.0438511\pi\)
0.0367622 + 0.999324i \(0.488296\pi\)
\(68\) 1.25337 2.01924i 0.151994 0.244869i
\(69\) −6.74903 3.89655i −0.812487 0.469090i
\(70\) 0.0899927 + 0.0173530i 0.0107562 + 0.00207408i
\(71\) −1.06152 6.02019i −0.125979 0.714465i −0.980721 0.195412i \(-0.937396\pi\)
0.854742 0.519053i \(-0.173715\pi\)
\(72\) −1.35434 + 5.98890i −0.159611 + 0.705798i
\(73\) −6.09478 2.21832i −0.713341 0.259635i −0.0402446 0.999190i \(-0.512814\pi\)
−0.673096 + 0.739555i \(0.735036\pi\)
\(74\) −6.16352 + 0.985667i −0.716495 + 0.114581i
\(75\) 4.55089 0.525492
\(76\) −8.39355 + 2.35549i −0.962806 + 0.270194i
\(77\) 1.83025 0.208577
\(78\) 2.53511 0.405414i 0.287045 0.0459041i
\(79\) 10.3375 + 3.76254i 1.16306 + 0.423319i 0.850189 0.526477i \(-0.176488\pi\)
0.312870 + 0.949796i \(0.398710\pi\)
\(80\) −0.134278 0.128125i −0.0150127 0.0143249i
\(81\) 0.386407 + 2.19142i 0.0429341 + 0.243491i
\(82\) −9.74293 1.87870i −1.07593 0.207468i
\(83\) 0.635962 + 0.367173i 0.0698060 + 0.0403025i 0.534497 0.845171i \(-0.320501\pi\)
−0.464691 + 0.885473i \(0.653835\pi\)
\(84\) −2.16113 1.34144i −0.235798 0.146363i
\(85\) 0.0422372 + 0.0354412i 0.00458127 + 0.00384414i
\(86\) 0.190720 + 0.551210i 0.0205659 + 0.0594385i
\(87\) −4.23798 + 2.44680i −0.454359 + 0.262324i
\(88\) −3.11746 2.00466i −0.332323 0.213697i
\(89\) −4.73119 12.9988i −0.501506 1.37788i −0.889805 0.456342i \(-0.849159\pi\)
0.388299 0.921533i \(-0.373063\pi\)
\(90\) −0.133064 0.0508501i −0.0140262 0.00536007i
\(91\) 0.483537 2.74227i 0.0506885 0.287469i
\(92\) 16.9432 2.43296i 1.76645 0.253654i
\(93\) −4.27983 + 3.59121i −0.443798 + 0.372391i
\(94\) −10.1225 6.06159i −1.04405 0.625206i
\(95\) −0.0264138 0.200518i −0.00271000 0.0205728i
\(96\) 2.21177 + 4.65193i 0.225738 + 0.474786i
\(97\) 5.45960 + 6.50649i 0.554338 + 0.660634i 0.968338 0.249642i \(-0.0803131\pi\)
−0.414000 + 0.910277i \(0.635869\pi\)
\(98\) 5.54259 4.50205i 0.559886 0.454776i
\(99\) −2.80148 0.493977i −0.281560 0.0496466i
\(100\) −7.85825 + 6.17752i −0.785825 + 0.617752i
\(101\) 9.90522 3.60521i 0.985606 0.358731i 0.201589 0.979470i \(-0.435389\pi\)
0.784017 + 0.620739i \(0.213167\pi\)
\(102\) −0.743872 1.33726i −0.0736543 0.132408i
\(103\) −0.289877 0.502082i −0.0285624 0.0494716i 0.851391 0.524532i \(-0.175760\pi\)
−0.879953 + 0.475060i \(0.842426\pi\)
\(104\) −3.82719 + 4.14129i −0.375287 + 0.406087i
\(105\) 0.0379316 0.0452051i 0.00370174 0.00441157i
\(106\) −0.118666 + 7.43635i −0.0115259 + 0.722282i
\(107\) −0.422452 + 0.731708i −0.0408400 + 0.0707369i −0.885723 0.464214i \(-0.846337\pi\)
0.844883 + 0.534951i \(0.179670\pi\)
\(108\) 7.01693 + 6.28013i 0.675204 + 0.604306i
\(109\) 7.99713 1.41011i 0.765986 0.135064i 0.223014 0.974815i \(-0.428410\pi\)
0.542971 + 0.839751i \(0.317299\pi\)
\(110\) 0.0563153 0.0649796i 0.00536945 0.00619556i
\(111\) −1.37456 + 3.77656i −0.130467 + 0.358456i
\(112\) 5.55264 0.617246i 0.524676 0.0583243i
\(113\) 14.2204i 1.33774i 0.743378 + 0.668872i \(0.233223\pi\)
−0.743378 + 0.668872i \(0.766777\pi\)
\(114\) −1.30178 + 5.46009i −0.121923 + 0.511384i
\(115\) 0.397110i 0.0370307i
\(116\) 3.99657 9.97778i 0.371073 0.926413i
\(117\) −1.48026 + 4.06697i −0.136850 + 0.375991i
\(118\) 12.5288 + 10.8582i 1.15337 + 0.999578i
\(119\) −1.63450 + 0.288207i −0.149835 + 0.0264199i
\(120\) −0.114121 + 0.0354516i −0.0104178 + 0.00323628i
\(121\) −4.64142 + 8.03918i −0.421948 + 0.730835i
\(122\) 17.3379 + 0.276671i 1.56970 + 0.0250486i
\(123\) −4.10660 + 4.89406i −0.370280 + 0.441283i
\(124\) 2.51539 12.0107i 0.225889 1.07859i
\(125\) −0.231948 0.401745i −0.0207460 0.0359332i
\(126\) 3.74725 2.08447i 0.333831 0.185700i
\(127\) −12.3119 + 4.48118i −1.09251 + 0.397641i −0.824550 0.565790i \(-0.808571\pi\)
−0.267959 + 0.963430i \(0.586349\pi\)
\(128\) −10.1339 5.03040i −0.895715 0.444628i
\(129\) 0.369846 + 0.0652139i 0.0325632 + 0.00574176i
\(130\) −0.0824811 0.101544i −0.00723407 0.00890604i
\(131\) 0.872574 + 1.03989i 0.0762372 + 0.0908559i 0.802815 0.596228i \(-0.203335\pi\)
−0.726578 + 0.687084i \(0.758890\pi\)
\(132\) −2.10372 + 1.12666i −0.183106 + 0.0980634i
\(133\) 5.13491 + 3.27077i 0.445253 + 0.283612i
\(134\) −7.97528 + 13.3182i −0.688959 + 1.15052i
\(135\) −0.167357 + 0.140429i −0.0144038 + 0.0120862i
\(136\) 3.09972 + 1.29935i 0.265798 + 0.111419i
\(137\) 1.33938 7.59599i 0.114431 0.648969i −0.872600 0.488436i \(-0.837568\pi\)
0.987030 0.160533i \(-0.0513213\pi\)
\(138\) 3.93421 10.2950i 0.334902 0.876368i
\(139\) −5.84051 16.0467i −0.495386 1.36106i −0.895690 0.444679i \(-0.853318\pi\)
0.400304 0.916382i \(-0.368904\pi\)
\(140\) −0.00413558 + 0.129547i −0.000349520 + 0.0109488i
\(141\) −6.57901 + 3.79839i −0.554053 + 0.319882i
\(142\) 8.16995 2.82683i 0.685607 0.237222i
\(143\) −2.00130 1.67929i −0.167357 0.140429i
\(144\) −8.66577 0.553844i −0.722147 0.0461536i
\(145\) 0.215953 + 0.124680i 0.0179339 + 0.0103541i
\(146\) 1.73671 9.00658i 0.143731 0.745390i
\(147\) −0.798373 4.52780i −0.0658487 0.373447i
\(148\) −2.75291 8.38705i −0.226288 0.689411i
\(149\) −12.5718 4.57575i −1.02992 0.374860i −0.228870 0.973457i \(-0.573503\pi\)
−0.801051 + 0.598597i \(0.795725\pi\)
\(150\) 1.01632 + 6.35518i 0.0829819 + 0.518898i
\(151\) −0.552457 −0.0449583 −0.0224792 0.999747i \(-0.507156\pi\)
−0.0224792 + 0.999747i \(0.507156\pi\)
\(152\) −5.16384 11.1953i −0.418843 0.908059i
\(153\) 2.57965 0.208552
\(154\) 0.408737 + 2.55589i 0.0329370 + 0.205960i
\(155\) 0.267521 + 0.0973698i 0.0214878 + 0.00782093i
\(156\) 1.13230 + 3.44967i 0.0906563 + 0.276195i
\(157\) 1.20691 + 6.84471i 0.0963216 + 0.546267i 0.994334 + 0.106298i \(0.0338996\pi\)
−0.898013 + 0.439970i \(0.854989\pi\)
\(158\) −2.94568 + 15.2763i −0.234345 + 1.21531i
\(159\) 4.14710 + 2.39433i 0.328886 + 0.189883i
\(160\) 0.148936 0.216128i 0.0117744 0.0170864i
\(161\) −9.15710 7.68372i −0.721680 0.605562i
\(162\) −2.97396 + 1.02900i −0.233656 + 0.0808458i
\(163\) −14.1181 + 8.15109i −1.10582 + 0.638443i −0.937742 0.347332i \(-0.887088\pi\)
−0.168073 + 0.985775i \(0.553755\pi\)
\(164\) 0.447732 14.0253i 0.0349620 1.09519i
\(165\) −0.0189358 0.0520256i −0.00147415 0.00405019i
\(166\) −0.370721 + 0.970100i −0.0287735 + 0.0752944i
\(167\) 2.56785 14.5630i 0.198706 1.12692i −0.708335 0.705876i \(-0.750553\pi\)
0.907041 0.421042i \(-0.138336\pi\)
\(168\) 1.39065 3.31752i 0.107291 0.255953i
\(169\) 6.91377 5.80134i 0.531829 0.446257i
\(170\) −0.0400601 + 0.0668978i −0.00307247 + 0.00513083i
\(171\) −6.97701 6.39230i −0.533545 0.488832i
\(172\) −0.727156 + 0.389433i −0.0554451 + 0.0296940i
\(173\) −1.26345 1.50572i −0.0960586 0.114478i 0.715874 0.698230i \(-0.246029\pi\)
−0.811932 + 0.583752i \(0.801584\pi\)
\(174\) −4.36332 5.37178i −0.330782 0.407234i
\(175\) 6.87450 + 1.21216i 0.519663 + 0.0916307i
\(176\) 2.10324 4.80113i 0.158538 0.361899i
\(177\) 10.0311 3.65102i 0.753983 0.274427i
\(178\) 17.0959 9.50990i 1.28139 0.712797i
\(179\) 11.4727 + 19.8714i 0.857512 + 1.48526i 0.874294 + 0.485396i \(0.161325\pi\)
−0.0167821 + 0.999859i \(0.505342\pi\)
\(180\) 0.0412944 0.197176i 0.00307790 0.0146966i
\(181\) −13.8104 + 16.4586i −1.02652 + 1.22336i −0.0520937 + 0.998642i \(0.516589\pi\)
−0.974425 + 0.224715i \(0.927855\pi\)
\(182\) 3.93749 + 0.0628327i 0.291866 + 0.00465747i
\(183\) 5.58239 9.66899i 0.412662 0.714752i
\(184\) 7.18136 + 23.1173i 0.529417 + 1.70423i
\(185\) 0.201680 0.0355616i 0.0148278 0.00261454i
\(186\) −5.97079 5.17466i −0.437800 0.379424i
\(187\) −0.532579 + 1.46325i −0.0389460 + 0.107003i
\(188\) 6.20425 15.4894i 0.452492 1.12968i
\(189\) 6.57632i 0.478357i
\(190\) 0.274119 0.0816664i 0.0198867 0.00592470i
\(191\) 7.68079i 0.555762i 0.960615 + 0.277881i \(0.0896321\pi\)
−0.960615 + 0.277881i \(0.910368\pi\)
\(192\) −6.00234 + 4.12756i −0.433182 + 0.297881i
\(193\) 1.33031 3.65500i 0.0957578 0.263093i −0.882561 0.470199i \(-0.844182\pi\)
0.978318 + 0.207106i \(0.0664045\pi\)
\(194\) −7.86687 + 9.07721i −0.564808 + 0.651706i
\(195\) −0.0829528 + 0.0146268i −0.00594037 + 0.00104745i
\(196\) 7.52477 + 6.73464i 0.537483 + 0.481046i
\(197\) 5.83464 10.1059i 0.415701 0.720015i −0.579801 0.814758i \(-0.696870\pi\)
0.995502 + 0.0947432i \(0.0302030\pi\)
\(198\) 0.0641894 4.02250i 0.00456174 0.285867i
\(199\) 13.9328 16.6044i 0.987668 1.17706i 0.00346853 0.999994i \(-0.498896\pi\)
0.984200 0.177063i \(-0.0566596\pi\)
\(200\) −10.3816 9.59423i −0.734093 0.678415i
\(201\) 4.99757 + 8.65605i 0.352502 + 0.610551i
\(202\) 7.24662 + 13.0272i 0.509870 + 0.916592i
\(203\) −7.05354 + 2.56728i −0.495062 + 0.180188i
\(204\) 1.70131 1.33743i 0.119116 0.0936392i
\(205\) 0.320602 + 0.0565308i 0.0223918 + 0.00394828i
\(206\) 0.636406 0.516931i 0.0443405 0.0360163i
\(207\) 11.9425 + 14.2326i 0.830064 + 0.989232i
\(208\) −6.63789 4.41971i −0.460255 0.306452i
\(209\) 5.06633 2.63784i 0.350445 0.182463i
\(210\) 0.0715985 + 0.0428750i 0.00494077 + 0.00295865i
\(211\) −8.82488 + 7.40495i −0.607530 + 0.509778i −0.893856 0.448354i \(-0.852010\pi\)
0.286326 + 0.958132i \(0.407566\pi\)
\(212\) −10.4111 + 1.49499i −0.715040 + 0.102676i
\(213\) 0.966590 5.48181i 0.0662297 0.375607i
\(214\) −1.11615 0.426534i −0.0762985 0.0291573i
\(215\) −0.00654518 0.0179827i −0.000446377 0.00122641i
\(216\) −7.20297 + 11.2014i −0.490100 + 0.762160i
\(217\) −7.42159 + 4.28485i −0.503810 + 0.290875i
\(218\) 3.75511 + 10.8528i 0.254328 + 0.735047i
\(219\) −4.52418 3.79624i −0.305716 0.256526i
\(220\) 0.103318 + 0.0641312i 0.00696573 + 0.00432373i
\(221\) 2.05169 + 1.18454i 0.138011 + 0.0796810i
\(222\) −5.58083 1.07613i −0.374561 0.0722254i
\(223\) 0.353870 + 2.00689i 0.0236969 + 0.134392i 0.994361 0.106048i \(-0.0338196\pi\)
−0.970664 + 0.240439i \(0.922709\pi\)
\(224\) 2.10200 + 7.61625i 0.140446 + 0.508882i
\(225\) −10.1953 3.71079i −0.679688 0.247386i
\(226\) −19.8584 + 3.17574i −1.32096 + 0.211247i
\(227\) 12.3915 0.822456 0.411228 0.911533i \(-0.365100\pi\)
0.411228 + 0.911533i \(0.365100\pi\)
\(228\) −7.91557 0.598539i −0.524221 0.0396392i
\(229\) 9.29197 0.614031 0.307015 0.951705i \(-0.400670\pi\)
0.307015 + 0.951705i \(0.400670\pi\)
\(230\) −0.554551 + 0.0886835i −0.0365660 + 0.00584762i
\(231\) 1.56607 + 0.570002i 0.103040 + 0.0375034i
\(232\) 14.8262 + 3.35283i 0.973387 + 0.220124i
\(233\) 1.38093 + 7.83166i 0.0904679 + 0.513069i 0.996042 + 0.0888814i \(0.0283292\pi\)
−0.905574 + 0.424188i \(0.860560\pi\)
\(234\) −6.00997 1.15889i −0.392884 0.0757587i
\(235\) 0.335243 + 0.193553i 0.0218689 + 0.0126260i
\(236\) −12.3652 + 19.9209i −0.804905 + 1.29674i
\(237\) 7.67356 + 6.43888i 0.498451 + 0.418250i
\(238\) −0.767494 2.21817i −0.0497493 0.143783i
\(239\) 18.1412 10.4738i 1.17346 0.677496i 0.218966 0.975732i \(-0.429732\pi\)
0.954492 + 0.298236i \(0.0963983\pi\)
\(240\) −0.0749930 0.151450i −0.00484078 0.00977604i
\(241\) −3.23683 8.89311i −0.208502 0.572856i 0.790724 0.612172i \(-0.209704\pi\)
−0.999227 + 0.0393166i \(0.987482\pi\)
\(242\) −12.2630 4.68628i −0.788296 0.301245i
\(243\) −2.80468 + 15.9061i −0.179920 + 1.02038i
\(244\) 3.48558 + 24.2736i 0.223142 + 1.55396i
\(245\) −0.179469 + 0.150592i −0.0114659 + 0.00962099i
\(246\) −7.75150 4.64179i −0.494218 0.295950i
\(247\) −2.61380 8.28779i −0.166312 0.527340i
\(248\) 17.3343 + 0.830404i 1.10073 + 0.0527307i
\(249\) 0.429815 + 0.512234i 0.0272384 + 0.0324615i
\(250\) 0.509225 0.413626i 0.0322062 0.0261600i
\(251\) −5.25705 0.926959i −0.331822 0.0585091i 0.00525525 0.999986i \(-0.498327\pi\)
−0.337077 + 0.941477i \(0.609438\pi\)
\(252\) 3.74775 + 4.76740i 0.236086 + 0.300318i
\(253\) −10.5387 + 3.83578i −0.662563 + 0.241153i
\(254\) −9.00737 16.1925i −0.565173 1.01601i
\(255\) 0.0251029 + 0.0434796i 0.00157201 + 0.00272280i
\(256\) 4.76167 15.2750i 0.297605 0.954689i
\(257\) 8.86041 10.5594i 0.552697 0.658679i −0.415287 0.909691i \(-0.636319\pi\)
0.967984 + 0.251011i \(0.0807632\pi\)
\(258\) −0.00847416 + 0.531043i −0.000527578 + 0.0330613i
\(259\) −3.08230 + 5.33869i −0.191525 + 0.331730i
\(260\) 0.123384 0.137860i 0.00765194 0.00854968i
\(261\) 11.4894 2.02590i 0.711178 0.125400i
\(262\) −1.25731 + 1.45075i −0.0776771 + 0.0896279i
\(263\) −4.72312 + 12.9767i −0.291240 + 0.800175i 0.704646 + 0.709559i \(0.251106\pi\)
−0.995886 + 0.0906161i \(0.971116\pi\)
\(264\) −2.04316 2.68618i −0.125748 0.165323i
\(265\) 0.244013i 0.0149896i
\(266\) −3.42079 + 7.90119i −0.209742 + 0.484453i
\(267\) 12.5960i 0.770862i
\(268\) −20.3796 8.16298i −1.24488 0.498633i
\(269\) 0.0765103 0.210210i 0.00466491 0.0128167i −0.937338 0.348421i \(-0.886718\pi\)
0.942003 + 0.335604i \(0.108940\pi\)
\(270\) −0.233480 0.202348i −0.0142091 0.0123145i
\(271\) 14.0034 2.46917i 0.850644 0.149992i 0.268704 0.963223i \(-0.413405\pi\)
0.581941 + 0.813231i \(0.302294\pi\)
\(272\) −1.12227 + 4.61883i −0.0680476 + 0.280058i
\(273\) 1.26778 2.19585i 0.0767294 0.132899i
\(274\) 10.9067 + 0.174044i 0.658897 + 0.0105144i
\(275\) 4.20974 5.01697i 0.253857 0.302535i
\(276\) 15.2552 + 3.19489i 0.918258 + 0.192310i
\(277\) −10.5953 18.3516i −0.636609 1.10264i −0.986172 0.165726i \(-0.947003\pi\)
0.349563 0.936913i \(-0.386330\pi\)
\(278\) 21.1044 11.7397i 1.26576 0.704099i
\(279\) 12.5163 4.55558i 0.749334 0.272735i
\(280\) −0.181833 + 0.0231557i −0.0108666 + 0.00138382i
\(281\) 7.25757 + 1.27971i 0.432950 + 0.0763408i 0.385876 0.922551i \(-0.373899\pi\)
0.0470741 + 0.998891i \(0.485010\pi\)
\(282\) −6.77358 8.33912i −0.403361 0.496587i
\(283\) −15.7071 18.7190i −0.933691 1.11273i −0.993422 0.114515i \(-0.963469\pi\)
0.0597309 0.998215i \(-0.480976\pi\)
\(284\) 5.77211 + 10.7778i 0.342512 + 0.639544i
\(285\) 0.0398470 0.179801i 0.00236033 0.0106505i
\(286\) 1.89814 3.16977i 0.112239 0.187432i
\(287\) −7.50694 + 6.29907i −0.443120 + 0.371822i
\(288\) −1.16184 12.2252i −0.0684619 0.720375i
\(289\) −2.70682 + 15.3511i −0.159224 + 0.903007i
\(290\) −0.125885 + 0.329415i −0.00739223 + 0.0193439i
\(291\) 2.64520 + 7.26762i 0.155064 + 0.426036i
\(292\) 12.9653 + 0.413894i 0.758735 + 0.0242213i
\(293\) −11.5307 + 6.65724i −0.673630 + 0.388920i −0.797451 0.603384i \(-0.793819\pi\)
0.123821 + 0.992305i \(0.460485\pi\)
\(294\) 6.14464 2.12606i 0.358363 0.123995i
\(295\) −0.416693 0.349647i −0.0242608 0.0203572i
\(296\) 11.0975 5.71737i 0.645028 0.332315i
\(297\) −5.34332 3.08497i −0.310051 0.179008i
\(298\) 3.58234 18.5780i 0.207519 1.07619i
\(299\) 2.96292 + 16.8036i 0.171350 + 0.971775i
\(300\) −8.64785 + 2.83851i −0.499284 + 0.163881i
\(301\) 0.541314 + 0.197022i 0.0312008 + 0.0113562i
\(302\) −0.123376 0.771490i −0.00709950 0.0443943i
\(303\) 9.59824 0.551405
\(304\) 14.4807 9.71131i 0.830525 0.556982i
\(305\) −0.568919 −0.0325762
\(306\) 0.576093 + 3.60240i 0.0329331 + 0.205935i
\(307\) −26.7916 9.75134i −1.52908 0.556538i −0.565681 0.824624i \(-0.691387\pi\)
−0.963395 + 0.268086i \(0.913609\pi\)
\(308\) −3.47795 + 1.14158i −0.198174 + 0.0650474i
\(309\) −0.0916701 0.519887i −0.00521493 0.0295753i
\(310\) −0.0762304 + 0.395330i −0.00432959 + 0.0224532i
\(311\) −22.6396 13.0710i −1.28377 0.741188i −0.306239 0.951955i \(-0.599071\pi\)
−0.977536 + 0.210767i \(0.932404\pi\)
\(312\) −4.56449 + 2.35161i −0.258414 + 0.133134i
\(313\) −2.72269 2.28461i −0.153895 0.129134i 0.562589 0.826737i \(-0.309805\pi\)
−0.716484 + 0.697603i \(0.754250\pi\)
\(314\) −9.28890 + 3.21399i −0.524203 + 0.181376i
\(315\) −0.121838 + 0.0703432i −0.00686479 + 0.00396339i
\(316\) −21.9907 0.702014i −1.23707 0.0394913i
\(317\) 4.75523 + 13.0649i 0.267080 + 0.733798i 0.998646 + 0.0520261i \(0.0165679\pi\)
−0.731565 + 0.681771i \(0.761210\pi\)
\(318\) −2.41747 + 6.32600i −0.135565 + 0.354745i
\(319\) −1.22290 + 6.93539i −0.0684690 + 0.388307i
\(320\) 0.335077 + 0.159718i 0.0187314 + 0.00892852i
\(321\) −0.589352 + 0.494525i −0.0328944 + 0.0276017i
\(322\) 8.68509 14.5036i 0.484001 0.808251i
\(323\) −4.10910 + 3.15351i −0.228636 + 0.175466i
\(324\) −2.10112 3.92325i −0.116729 0.217958i
\(325\) −6.40477 7.63290i −0.355272 0.423397i
\(326\) −14.5356 17.8952i −0.805055 0.991123i
\(327\) 7.28194 + 1.28400i 0.402692 + 0.0710055i
\(328\) 19.6858 2.50691i 1.08697 0.138421i
\(329\) −10.9499 + 3.98543i −0.603686 + 0.219724i
\(330\) 0.0684233 0.0380617i 0.00376658 0.00209523i
\(331\) −3.55440 6.15641i −0.195368 0.338387i 0.751653 0.659558i \(-0.229257\pi\)
−0.947021 + 0.321172i \(0.895923\pi\)
\(332\) −1.43751 0.301056i −0.0788934 0.0165226i
\(333\) 6.15882 7.33979i 0.337501 0.402218i
\(334\) 20.9102 + 0.333677i 1.14416 + 0.0182580i
\(335\) 0.254659 0.441082i 0.0139135 0.0240989i
\(336\) 4.94338 + 1.20113i 0.269684 + 0.0655269i
\(337\) −29.9028 + 5.27267i −1.62891 + 0.287220i −0.912075 0.410024i \(-0.865520\pi\)
−0.716833 + 0.697245i \(0.754409\pi\)
\(338\) 9.64540 + 8.35930i 0.524641 + 0.454686i
\(339\) −4.42871 + 12.1678i −0.240535 + 0.660863i
\(340\) −0.102367 0.0410029i −0.00555163 0.00222369i
\(341\) 8.04014i 0.435398i
\(342\) 7.36853 11.1707i 0.398445 0.604044i
\(343\) 16.8293i 0.908694i
\(344\) −0.706222 0.928482i −0.0380769 0.0500604i
\(345\) −0.123673 + 0.339789i −0.00665834 + 0.0182936i
\(346\) 1.82054 2.10064i 0.0978729 0.112931i
\(347\) 0.491581 0.0866790i 0.0263895 0.00465317i −0.160438 0.987046i \(-0.551291\pi\)
0.186827 + 0.982393i \(0.440180\pi\)
\(348\) 6.52711 7.29288i 0.349890 0.390939i
\(349\) −1.36569 + 2.36545i −0.0731040 + 0.126620i −0.900260 0.435352i \(-0.856624\pi\)
0.827156 + 0.561972i \(0.189957\pi\)
\(350\) −0.157513 + 9.87073i −0.00841942 + 0.527613i
\(351\) −6.03388 + 7.19090i −0.322065 + 0.383822i
\(352\) 7.17433 + 1.86491i 0.382393 + 0.0994001i
\(353\) 12.5409 + 21.7215i 0.667484 + 1.15612i 0.978605 + 0.205747i \(0.0659623\pi\)
−0.311121 + 0.950370i \(0.600704\pi\)
\(354\) 7.33870 + 13.1927i 0.390048 + 0.701187i
\(355\) −0.266537 + 0.0970116i −0.0141463 + 0.00514884i
\(356\) 17.0982 + 21.7501i 0.906202 + 1.15276i
\(357\) −1.48833 0.262433i −0.0787708 0.0138894i
\(358\) −25.1876 + 20.4590i −1.33121 + 1.08129i
\(359\) −5.00752 5.96773i −0.264287 0.314965i 0.617539 0.786540i \(-0.288130\pi\)
−0.881826 + 0.471576i \(0.843685\pi\)
\(360\) 0.284572 + 0.0136325i 0.0149983 + 0.000718496i
\(361\) 18.9279 + 1.65316i 0.996208 + 0.0870087i
\(362\) −26.0681 15.6102i −1.37011 0.820455i
\(363\) −6.47513 + 5.43328i −0.339856 + 0.285173i
\(364\) 0.791586 + 5.51261i 0.0414904 + 0.288939i
\(365\) −0.0522584 + 0.296372i −0.00273533 + 0.0155128i
\(366\) 14.7491 + 5.63634i 0.770949 + 0.294616i
\(367\) 2.87685 + 7.90408i 0.150170 + 0.412590i 0.991854 0.127382i \(-0.0406573\pi\)
−0.841683 + 0.539971i \(0.818435\pi\)
\(368\) −30.6789 + 15.1912i −1.59925 + 0.791894i
\(369\) 13.1906 7.61560i 0.686676 0.396452i
\(370\) 0.0947003 + 0.273698i 0.00492324 + 0.0142289i
\(371\) 5.62679 + 4.72144i 0.292129 + 0.245125i
\(372\) 5.89284 9.49365i 0.305529 0.492223i
\(373\) 17.6598 + 10.1959i 0.914391 + 0.527924i 0.881841 0.471546i \(-0.156304\pi\)
0.0325499 + 0.999470i \(0.489637\pi\)
\(374\) −2.16232 0.416954i −0.111811 0.0215602i
\(375\) −0.0733505 0.415992i −0.00378781 0.0214817i
\(376\) 23.0161 + 5.20491i 1.18696 + 0.268423i
\(377\) 10.0682 + 3.66454i 0.518541 + 0.188733i
\(378\) 9.18363 1.46864i 0.472355 0.0755388i
\(379\) −17.8645 −0.917638 −0.458819 0.888530i \(-0.651727\pi\)
−0.458819 + 0.888530i \(0.651727\pi\)
\(380\) 0.175262 + 0.364561i 0.00899073 + 0.0187016i
\(381\) −11.9304 −0.611212
\(382\) −10.7260 + 1.71529i −0.548789 + 0.0877620i
\(383\) −11.4496 4.16732i −0.585047 0.212940i 0.0325023 0.999472i \(-0.489652\pi\)
−0.617550 + 0.786532i \(0.711875\pi\)
\(384\) −7.10447 7.46031i −0.362548 0.380707i
\(385\) −0.0147467 0.0836327i −0.000751561 0.00426231i
\(386\) 5.40118 + 1.04149i 0.274913 + 0.0530107i
\(387\) −0.775389 0.447671i −0.0394152 0.0227564i
\(388\) −14.4329 8.95870i −0.732719 0.454809i
\(389\) 15.3327 + 12.8656i 0.777398 + 0.652314i 0.942592 0.333947i \(-0.108381\pi\)
−0.165194 + 0.986261i \(0.552825\pi\)
\(390\) −0.0389511 0.112575i −0.00197237 0.00570043i
\(391\) 8.80756 5.08505i 0.445418 0.257162i
\(392\) −7.72427 + 12.0121i −0.390135 + 0.606703i
\(393\) 0.422766 + 1.16154i 0.0213257 + 0.0585919i
\(394\) 15.4156 + 5.89102i 0.776626 + 0.296785i
\(395\) 0.0886365 0.502683i 0.00445979 0.0252927i
\(396\) 5.63164 0.808677i 0.283000 0.0406376i
\(397\) 3.50279 2.93919i 0.175800 0.147514i −0.550642 0.834742i \(-0.685617\pi\)
0.726442 + 0.687228i \(0.241173\pi\)
\(398\) 26.2991 + 15.7485i 1.31825 + 0.789403i
\(399\) 3.37509 + 4.39784i 0.168966 + 0.220167i
\(400\) 11.0796 16.6403i 0.553980 0.832013i
\(401\) −5.17049 6.16195i −0.258202 0.307713i 0.621334 0.783546i \(-0.286591\pi\)
−0.879536 + 0.475833i \(0.842147\pi\)
\(402\) −10.9718 + 8.91205i −0.547225 + 0.444493i
\(403\) 12.0466 + 2.12414i 0.600083 + 0.105811i
\(404\) −16.5738 + 13.0290i −0.824576 + 0.648215i
\(405\) 0.0970227 0.0353134i 0.00482110 0.00175474i
\(406\) −5.16034 9.27673i −0.256104 0.460396i
\(407\) 2.89183 + 5.00879i 0.143342 + 0.248276i
\(408\) 2.24763 + 2.07715i 0.111274 + 0.102834i
\(409\) 8.35432 9.95629i 0.413094 0.492307i −0.518872 0.854852i \(-0.673648\pi\)
0.931966 + 0.362545i \(0.118092\pi\)
\(410\) −0.00734584 + 0.460336i −0.000362785 + 0.0227344i
\(411\) 3.51169 6.08243i 0.173219 0.300024i
\(412\) 0.864002 + 0.773279i 0.0425663 + 0.0380967i
\(413\) 16.1253 2.84332i 0.793472 0.139911i
\(414\) −17.2083 + 19.8559i −0.845742 + 0.975862i
\(415\) 0.0116538 0.0320184i 0.000572060 0.00157172i
\(416\) 4.68960 10.2566i 0.229926 0.502873i
\(417\) 15.5494i 0.761456i
\(418\) 4.81509 + 6.48589i 0.235514 + 0.317235i
\(419\) 1.47508i 0.0720624i 0.999351 + 0.0360312i \(0.0114716\pi\)
−0.999351 + 0.0360312i \(0.988528\pi\)
\(420\) −0.0438840 + 0.109560i −0.00214132 + 0.00534598i
\(421\) 7.00572 19.2481i 0.341438 0.938093i −0.643540 0.765412i \(-0.722535\pi\)
0.984978 0.172680i \(-0.0552428\pi\)
\(422\) −12.3116 10.6700i −0.599319 0.519406i
\(423\) 17.8361 3.14499i 0.867221 0.152915i
\(424\) −4.41275 14.2050i −0.214302 0.689855i
\(425\) −2.96948 + 5.14330i −0.144041 + 0.249487i
\(426\) 7.87104 + 0.125603i 0.381353 + 0.00608547i
\(427\) 11.0081 13.1189i 0.532718 0.634868i
\(428\) 0.346380 1.65393i 0.0167429 0.0799455i
\(429\) −1.18943 2.06016i −0.0574265 0.0994655i
\(430\) 0.0236506 0.0131561i 0.00114054 0.000634443i
\(431\) 15.5185 5.64828i 0.747501 0.272068i 0.0599469 0.998202i \(-0.480907\pi\)
0.687554 + 0.726134i \(0.258685\pi\)
\(432\) −17.2510 7.55720i −0.829991 0.363596i
\(433\) −29.9167 5.27512i −1.43770 0.253506i −0.600161 0.799879i \(-0.704897\pi\)
−0.837542 + 0.546373i \(0.816008\pi\)
\(434\) −7.64108 9.40711i −0.366783 0.451556i
\(435\) 0.145952 + 0.173938i 0.00699785 + 0.00833971i
\(436\) −14.3170 + 7.66758i −0.685662 + 0.367211i
\(437\) −36.4219 8.07172i −1.74230 0.386123i
\(438\) 4.29098 7.16567i 0.205031 0.342389i
\(439\) −5.71692 + 4.79706i −0.272854 + 0.228951i −0.768939 0.639323i \(-0.779215\pi\)
0.496085 + 0.868274i \(0.334770\pi\)
\(440\) −0.0664839 + 0.158603i −0.00316950 + 0.00756110i
\(441\) −1.90338 + 10.7946i −0.0906370 + 0.514028i
\(442\) −1.19599 + 3.12965i −0.0568874 + 0.148863i
\(443\) 11.1704 + 30.6904i 0.530721 + 1.45814i 0.858215 + 0.513290i \(0.171574\pi\)
−0.327494 + 0.944853i \(0.606204\pi\)
\(444\) 0.256464 8.03378i 0.0121713 0.381266i
\(445\) −0.555857 + 0.320924i −0.0263501 + 0.0152133i
\(446\) −2.72354 + 0.942353i −0.128963 + 0.0446217i
\(447\) −9.33208 7.83054i −0.441392 0.370372i
\(448\) −10.1664 + 4.63626i −0.480319 + 0.219043i
\(449\) −4.49778 2.59680i −0.212264 0.122550i 0.390099 0.920773i \(-0.372441\pi\)
−0.602363 + 0.798222i \(0.705774\pi\)
\(450\) 2.90516 15.0662i 0.136951 0.710226i
\(451\) 1.59653 + 9.05436i 0.0751776 + 0.426353i
\(452\) −8.86965 27.0224i −0.417193 1.27103i
\(453\) −0.472714 0.172054i −0.0222100 0.00808379i
\(454\) 2.76731 + 17.3044i 0.129876 + 0.812137i
\(455\) −0.129203 −0.00605713
\(456\) −0.931884 11.1875i −0.0436394 0.523904i
\(457\) −13.2130 −0.618078 −0.309039 0.951049i \(-0.600007\pi\)
−0.309039 + 0.951049i \(0.600007\pi\)
\(458\) 2.07511 + 12.9760i 0.0969634 + 0.606327i
\(459\) 5.25763 + 1.91362i 0.245405 + 0.0893202i
\(460\) −0.247688 0.754609i −0.0115485 0.0351838i
\(461\) −4.56893 25.9117i −0.212796 1.20683i −0.884690 0.466180i \(-0.845630\pi\)
0.671894 0.740648i \(-0.265481\pi\)
\(462\) −0.446252 + 2.31426i −0.0207615 + 0.107669i
\(463\) 18.3103 + 10.5715i 0.850954 + 0.491298i 0.860972 0.508652i \(-0.169856\pi\)
−0.0100189 + 0.999950i \(0.503189\pi\)
\(464\) −1.37110 + 21.4531i −0.0636518 + 0.995934i
\(465\) 0.198582 + 0.166630i 0.00920902 + 0.00772729i
\(466\) −10.6283 + 3.67742i −0.492346 + 0.170353i
\(467\) 27.4162 15.8287i 1.26867 0.732467i 0.293934 0.955826i \(-0.405036\pi\)
0.974736 + 0.223359i \(0.0717022\pi\)
\(468\) 0.276186 8.65155i 0.0127667 0.399918i
\(469\) 5.24365 + 14.4068i 0.242129 + 0.665245i
\(470\) −0.195423 + 0.511382i −0.00901420 + 0.0235883i
\(471\) −1.09897 + 6.23259i −0.0506380 + 0.287182i
\(472\) −30.5804 12.8188i −1.40757 0.590033i
\(473\) 0.414014 0.347399i 0.0190364 0.0159734i
\(474\) −7.27802 + 12.1538i −0.334290 + 0.558244i
\(475\) 20.7763 6.55244i 0.953284 0.300647i
\(476\) 2.92621 1.56715i 0.134123 0.0718302i
\(477\) −7.33838 8.74554i −0.336001 0.400431i
\(478\) 18.6777 + 22.9946i 0.854300 + 1.05175i
\(479\) −13.3251 2.34958i −0.608840 0.107355i −0.139276 0.990254i \(-0.544478\pi\)
−0.469563 + 0.882899i \(0.655589\pi\)
\(480\) 0.194747 0.138548i 0.00888896 0.00632380i
\(481\) 8.26868 3.00955i 0.377019 0.137224i
\(482\) 11.6961 6.50616i 0.532743 0.296348i
\(483\) −5.44236 9.42644i −0.247636 0.428918i
\(484\) 3.80563 18.1715i 0.172983 0.825976i
\(485\) 0.253323 0.301898i 0.0115028 0.0137085i
\(486\) −22.8388 0.364452i −1.03599 0.0165319i
\(487\) −6.49642 + 11.2521i −0.294381 + 0.509883i −0.974841 0.222903i \(-0.928447\pi\)
0.680460 + 0.732786i \(0.261780\pi\)
\(488\) −33.1190 + 10.2884i −1.49923 + 0.465732i
\(489\) −14.6188 + 2.57768i −0.661084 + 0.116567i
\(490\) −0.250377 0.216992i −0.0113109 0.00980271i
\(491\) 11.1325 30.5862i 0.502401 1.38033i −0.386523 0.922280i \(-0.626324\pi\)
0.888924 0.458055i \(-0.151454\pi\)
\(492\) 4.75104 11.8614i 0.214193 0.534751i
\(493\) 6.38620i 0.287620i
\(494\) 10.9899 5.50095i 0.494460 0.247499i
\(495\) 0.131993i 0.00593263i
\(496\) 2.71151 + 24.3923i 0.121750 + 1.09525i
\(497\) 2.92023 8.02327i 0.130990 0.359893i
\(498\) −0.619331 + 0.714617i −0.0277529 + 0.0320228i
\(499\) −4.07989 + 0.719394i −0.182641 + 0.0322045i −0.264220 0.964462i \(-0.585115\pi\)
0.0815796 + 0.996667i \(0.474004\pi\)
\(500\) 0.691338 + 0.618746i 0.0309176 + 0.0276711i
\(501\) 6.73260 11.6612i 0.300790 0.520984i
\(502\) 0.120453 7.54832i 0.00537607 0.336898i
\(503\) −14.9435 + 17.8090i −0.666298 + 0.794063i −0.988275 0.152685i \(-0.951208\pi\)
0.321977 + 0.946747i \(0.395653\pi\)
\(504\) −5.82058 + 6.29828i −0.259269 + 0.280548i
\(505\) −0.244547 0.423567i −0.0108822 0.0188485i
\(506\) −7.71008 13.8604i −0.342755 0.616169i
\(507\) 7.72254 2.81078i 0.342970 0.124831i
\(508\) 20.6008 16.1947i 0.914012 0.718522i
\(509\) 13.7146 + 2.41826i 0.607891 + 0.107188i 0.469116 0.883136i \(-0.344573\pi\)
0.138775 + 0.990324i \(0.455684\pi\)
\(510\) −0.0551118 + 0.0447655i −0.00244039 + 0.00198225i
\(511\) −5.82300 6.93958i −0.257594 0.306989i
\(512\) 22.3945 + 3.23827i 0.989706 + 0.143113i
\(513\) −9.47808 18.2039i −0.418467 0.803724i
\(514\) 16.7247 + 10.0151i 0.737693 + 0.441749i
\(515\) −0.0206068 + 0.0172912i −0.000908045 + 0.000761940i
\(516\) −0.743478 + 0.106760i −0.0327298 + 0.00469985i
\(517\) −1.89841 + 10.7664i −0.0834922 + 0.473508i
\(518\) −8.14367 3.11208i −0.357812 0.136737i
\(519\) −0.612148 1.68186i −0.0268703 0.0738256i
\(520\) 0.220071 + 0.141515i 0.00965075 + 0.00620583i
\(521\) 14.7143 8.49530i 0.644645 0.372186i −0.141757 0.989902i \(-0.545275\pi\)
0.786402 + 0.617716i \(0.211942\pi\)
\(522\) 5.39495 + 15.5922i 0.236131 + 0.682453i
\(523\) 2.73927 + 2.29852i 0.119780 + 0.100507i 0.700710 0.713446i \(-0.252867\pi\)
−0.580930 + 0.813953i \(0.697311\pi\)
\(524\) −2.30672 1.43181i −0.100770 0.0625491i
\(525\) 5.50470 + 3.17814i 0.240245 + 0.138705i
\(526\) −19.1763 3.69771i −0.836126 0.161228i
\(527\) −1.26607 7.18024i −0.0551508 0.312776i
\(528\) 3.29488 3.45309i 0.143391 0.150277i
\(529\) 47.2174 + 17.1857i 2.05293 + 0.747206i
\(530\) 0.340757 0.0544937i 0.0148015 0.00236705i
\(531\) −25.4496 −1.10442
\(532\) −11.7977 3.01251i −0.511495 0.130609i
\(533\) 13.9880 0.605886
\(534\) 17.5899 2.81297i 0.761190 0.121729i
\(535\) 0.0368389 + 0.0134083i 0.00159268 + 0.000579689i
\(536\) 6.84814 30.2824i 0.295794 1.30800i
\(537\) 3.62811 + 20.5760i 0.156565 + 0.887922i
\(538\) 0.310639 + 0.0598996i 0.0133926 + 0.00258245i
\(539\) −5.73004 3.30824i −0.246810 0.142496i
\(540\) 0.230431 0.371236i 0.00991618 0.0159754i
\(541\) 15.2062 + 12.7595i 0.653766 + 0.548575i 0.908211 0.418513i \(-0.137448\pi\)
−0.254445 + 0.967087i \(0.581893\pi\)
\(542\) 6.57539 + 19.0039i 0.282437 + 0.816286i
\(543\) −16.9427 + 9.78187i −0.727081 + 0.419780i
\(544\) −6.70069 0.535725i −0.287290 0.0229690i
\(545\) −0.128869 0.354064i −0.00552013 0.0151664i
\(546\) 3.34957 + 1.28003i 0.143348 + 0.0547802i
\(547\) 0.130482 0.740000i 0.00557901 0.0316401i −0.981891 0.189446i \(-0.939331\pi\)
0.987470 + 0.157806i \(0.0504420\pi\)
\(548\) 2.19266 + 15.2697i 0.0936658 + 0.652290i
\(549\) −20.3903 + 17.1095i −0.870236 + 0.730215i
\(550\) 7.94617 + 4.75837i 0.338826 + 0.202897i
\(551\) −15.8249 + 17.2724i −0.674162 + 0.735828i
\(552\) −1.05473 + 22.0170i −0.0448922 + 0.937105i
\(553\) 9.87651 + 11.7704i 0.419992 + 0.500527i
\(554\) 23.2612 18.8943i 0.988275 0.802742i
\(555\) 0.183644 + 0.0323813i 0.00779524 + 0.00137451i
\(556\) 21.1072 + 26.8499i 0.895144 + 1.13869i
\(557\) −31.8977 + 11.6098i −1.35155 + 0.491923i −0.913430 0.406995i \(-0.866577\pi\)
−0.438117 + 0.898918i \(0.644354\pi\)
\(558\) 9.15690 + 16.4613i 0.387643 + 0.696863i
\(559\) −0.411130 0.712098i −0.0173890 0.0301186i
\(560\) −0.0729435 0.248752i −0.00308243 0.0105117i
\(561\) −0.911409 + 1.08617i −0.0384797 + 0.0458583i
\(562\) −0.166290 + 10.4208i −0.00701452 + 0.439573i
\(563\) 16.1201 27.9209i 0.679383 1.17673i −0.295784 0.955255i \(-0.595581\pi\)
0.975167 0.221471i \(-0.0710859\pi\)
\(564\) 10.1326 11.3214i 0.426661 0.476718i
\(565\) 0.649796 0.114577i 0.0273371 0.00482027i
\(566\) 22.6328 26.1149i 0.951326 1.09769i
\(567\) −1.06300 + 2.92057i −0.0446418 + 0.122652i
\(568\) −13.7618 + 10.4675i −0.577433 + 0.439207i
\(569\) 17.8706i 0.749175i −0.927192 0.374587i \(-0.877784\pi\)
0.927192 0.374587i \(-0.122216\pi\)
\(570\) 0.259985 + 0.0154915i 0.0108896 + 0.000648867i
\(571\) 35.9863i 1.50598i 0.658032 + 0.752990i \(0.271389\pi\)
−0.658032 + 0.752990i \(0.728611\pi\)
\(572\) 4.85038 + 1.94281i 0.202805 + 0.0812330i
\(573\) −2.39205 + 6.57211i −0.0999295 + 0.274554i
\(574\) −10.4729 9.07648i −0.437131 0.378845i
\(575\) −42.1242 + 7.42763i −1.75670 + 0.309754i
\(576\) 16.8126 4.35262i 0.700525 0.181359i
\(577\) −7.40172 + 12.8202i −0.308138 + 0.533710i −0.977955 0.208816i \(-0.933039\pi\)
0.669817 + 0.742526i \(0.266372\pi\)
\(578\) −22.0419 0.351734i −0.916820 0.0146302i
\(579\) 2.27658 2.71312i 0.0946113 0.112753i
\(580\) −0.488132 0.102229i −0.0202686 0.00424483i
\(581\) 0.512835 + 0.888256i 0.0212760 + 0.0368511i
\(582\) −9.55828 + 5.31696i −0.396203 + 0.220395i
\(583\) 6.47576 2.35698i 0.268198 0.0976162i
\(584\) 2.31745 + 18.1980i 0.0958966 + 0.753040i
\(585\) 0.197765 + 0.0348713i 0.00817658 + 0.00144175i
\(586\) −11.8717 14.6155i −0.490415 0.603762i
\(587\) 12.8463 + 15.3096i 0.530222 + 0.631894i 0.962966 0.269623i \(-0.0868991\pi\)
−0.432744 + 0.901517i \(0.642455\pi\)
\(588\) 4.34122 + 8.10600i 0.179029 + 0.334286i
\(589\) −14.3682 + 22.5572i −0.592031 + 0.929454i
\(590\) 0.395214 0.659983i 0.0162707 0.0271711i
\(591\) 8.13976 6.83007i 0.334825 0.280951i
\(592\) 10.4625 + 14.2205i 0.430004 + 0.584458i
\(593\) −5.76362 + 32.6871i −0.236683 + 1.34230i 0.602356 + 0.798228i \(0.294229\pi\)
−0.839039 + 0.544071i \(0.816882\pi\)
\(594\) 3.11478 8.15073i 0.127801 0.334429i
\(595\) 0.0263390 + 0.0723659i 0.00107979 + 0.00296671i
\(596\) 26.7436 + 0.853743i 1.09546 + 0.0349707i
\(597\) 17.0928 9.86855i 0.699563 0.403893i
\(598\) −22.8040 + 7.89024i −0.932524 + 0.322656i
\(599\) −24.4486 20.5148i −0.998941 0.838211i −0.0121038 0.999927i \(-0.503853\pi\)
−0.986837 + 0.161716i \(0.948297\pi\)
\(600\) −5.89515 11.4426i −0.240669 0.467140i
\(601\) −0.700958 0.404698i −0.0285927 0.0165080i 0.485636 0.874161i \(-0.338588\pi\)
−0.514228 + 0.857653i \(0.671922\pi\)
\(602\) −0.154248 + 0.799928i −0.00628667 + 0.0326026i
\(603\) −4.13788 23.4671i −0.168508 0.955654i
\(604\) 1.04981 0.344582i 0.0427161 0.0140209i
\(605\) 0.404744 + 0.147315i 0.0164552 + 0.00598919i
\(606\) 2.14350 + 13.4037i 0.0870739 + 0.544486i
\(607\) −37.1238 −1.50681 −0.753404 0.657558i \(-0.771590\pi\)
−0.753404 + 0.657558i \(0.771590\pi\)
\(608\) 16.7954 + 18.0531i 0.681144 + 0.732149i
\(609\) −6.83495 −0.276966
\(610\) −0.127052 0.794477i −0.00514420 0.0321675i
\(611\) 15.6299 + 5.68880i 0.632316 + 0.230144i
\(612\) −4.90198 + 1.60899i −0.198151 + 0.0650397i
\(613\) −6.54618 37.1252i −0.264398 1.49947i −0.770745 0.637144i \(-0.780116\pi\)
0.506347 0.862330i \(-0.330996\pi\)
\(614\) 7.63428 39.5913i 0.308094 1.59778i
\(615\) 0.256720 + 0.148217i 0.0103519 + 0.00597669i
\(616\) −2.37088 4.60191i −0.0955256 0.185416i
\(617\) −24.7371 20.7569i −0.995877 0.835640i −0.00946884 0.999955i \(-0.503014\pi\)
−0.986408 + 0.164315i \(0.947459\pi\)
\(618\) 0.705534 0.244117i 0.0283807 0.00981982i
\(619\) −36.7309 + 21.2066i −1.47634 + 0.852365i −0.999643 0.0267023i \(-0.991499\pi\)
−0.476697 + 0.879068i \(0.658166\pi\)
\(620\) −0.569091 0.0181672i −0.0228552 0.000729613i
\(621\) 13.7824 + 37.8669i 0.553069 + 1.51954i
\(622\) 13.1973 34.5346i 0.529163 1.38471i
\(623\) 3.35503 19.0273i 0.134416 0.762313i
\(624\) −4.30330 5.84901i −0.172270 0.234148i
\(625\) 19.1264 16.0489i 0.765055 0.641957i
\(626\) 2.58234 4.31235i 0.103211 0.172356i
\(627\) 5.15655 0.679260i 0.205933 0.0271270i
\(628\) −6.56265 12.2539i −0.261878 0.488984i
\(629\) −3.37127 4.01772i −0.134421 0.160197i
\(630\) −0.125441 0.154434i −0.00499770 0.00615279i
\(631\) 20.4902 + 3.61298i 0.815704 + 0.143831i 0.565908 0.824468i \(-0.308526\pi\)
0.249795 + 0.968299i \(0.419637\pi\)
\(632\) −3.93067 30.8661i −0.156354 1.22779i
\(633\) −9.85721 + 3.58773i −0.391789 + 0.142599i
\(634\) −17.1828 + 9.55822i −0.682415 + 0.379606i
\(635\) 0.303965 + 0.526483i 0.0120625 + 0.0208929i
\(636\) −9.37395 1.96318i −0.371701 0.0778450i
\(637\) −6.47057 + 7.71133i −0.256373 + 0.305534i
\(638\) −9.95816 0.158908i −0.394247 0.00629123i
\(639\) −6.63531 + 11.4927i −0.262489 + 0.454644i
\(640\) −0.148211 + 0.503593i −0.00585857 + 0.0199063i
\(641\) −25.6534 + 4.52338i −1.01325 + 0.178663i −0.655531 0.755168i \(-0.727555\pi\)
−0.357715 + 0.933831i \(0.616444\pi\)
\(642\) −0.822205 0.712573i −0.0324498 0.0281230i
\(643\) 9.65370 26.5233i 0.380705 1.04598i −0.590355 0.807144i \(-0.701012\pi\)
0.971060 0.238835i \(-0.0767654\pi\)
\(644\) 22.1933 + 8.88949i 0.874540 + 0.350295i
\(645\) 0.0174254i 0.000686125i
\(646\) −5.32143 5.03398i −0.209369 0.198059i
\(647\) 31.9737i 1.25702i 0.777803 + 0.628508i \(0.216334\pi\)
−0.777803 + 0.628508i \(0.783666\pi\)
\(648\) 5.00947 3.81030i 0.196790 0.149683i
\(649\) 5.25418 14.4357i 0.206245 0.566652i
\(650\) 9.22879 10.6487i 0.361983 0.417675i
\(651\) −7.68477 + 1.35503i −0.301190 + 0.0531079i
\(652\) 21.7439 24.2950i 0.851558 0.951465i
\(653\) 8.32093 14.4123i 0.325623 0.563996i −0.656015 0.754748i \(-0.727759\pi\)
0.981638 + 0.190752i \(0.0610926\pi\)
\(654\) −0.166848 + 10.4558i −0.00652429 + 0.408853i
\(655\) 0.0404870 0.0482505i 0.00158196 0.00188530i
\(656\) 7.89712 + 26.9308i 0.308331 + 1.05147i
\(657\) 7.04003 + 12.1937i 0.274658 + 0.475721i
\(658\) −8.01088 14.4011i −0.312297 0.561414i
\(659\) −4.28405 + 1.55927i −0.166883 + 0.0607404i −0.424111 0.905610i \(-0.639413\pi\)
0.257228 + 0.966351i \(0.417191\pi\)
\(660\) 0.0684325 + 0.0870511i 0.00266373 + 0.00338846i
\(661\) −22.6492 3.99366i −0.880951 0.155335i −0.285165 0.958479i \(-0.592048\pi\)
−0.595786 + 0.803143i \(0.703159\pi\)
\(662\) 7.80346 6.33848i 0.303290 0.246352i
\(663\) 1.38663 + 1.65253i 0.0538524 + 0.0641788i
\(664\) 0.0993873 2.07467i 0.00385698 0.0805126i
\(665\) 0.108083 0.260991i 0.00419129 0.0101208i
\(666\) 11.6252 + 6.96146i 0.450467 + 0.269751i
\(667\) 35.2343 29.5651i 1.36428 1.14477i
\(668\) 4.20376 + 29.2750i 0.162648 + 1.13268i
\(669\) −0.322223 + 1.82742i −0.0124579 + 0.0706521i
\(670\) 0.672829 + 0.257120i 0.0259936 + 0.00993340i
\(671\) −5.49532 15.0983i −0.212145 0.582862i
\(672\) −0.573369 + 7.17153i −0.0221182 + 0.276648i
\(673\) 23.9900 13.8506i 0.924745 0.533902i 0.0395995 0.999216i \(-0.487392\pi\)
0.885146 + 0.465314i \(0.154058\pi\)
\(674\) −14.0411 40.5808i −0.540842 1.56311i
\(675\) −18.0266 15.1261i −0.693843 0.582204i
\(676\) −9.51947 + 15.3363i −0.366134 + 0.589859i
\(677\) 3.28430 + 1.89619i 0.126226 + 0.0728765i 0.561783 0.827284i \(-0.310115\pi\)
−0.435558 + 0.900161i \(0.643449\pi\)
\(678\) −17.9810 3.46722i −0.690555 0.133158i
\(679\) 2.06001 + 11.6829i 0.0790561 + 0.448349i
\(680\) 0.0343984 0.152109i 0.00131912 0.00583313i
\(681\) 10.6029 + 3.85914i 0.406304 + 0.147883i
\(682\) −11.2278 + 1.79555i −0.429935 + 0.0687550i
\(683\) 34.1213 1.30561 0.652807 0.757524i \(-0.273591\pi\)
0.652807 + 0.757524i \(0.273591\pi\)
\(684\) 17.2451 + 7.79526i 0.659384 + 0.298059i
\(685\) −0.357887 −0.0136742
\(686\) 23.5015 3.75835i 0.897293 0.143495i
\(687\) 7.95073 + 2.89383i 0.303339 + 0.110406i
\(688\) 1.13888 1.19357i 0.0434195 0.0455043i
\(689\) −1.82064 10.3253i −0.0693607 0.393364i
\(690\) −0.502124 0.0968232i −0.0191155 0.00368600i
\(691\) 28.6806 + 16.5587i 1.09106 + 0.629924i 0.933859 0.357642i \(-0.116419\pi\)
0.157202 + 0.987566i \(0.449753\pi\)
\(692\) 3.34004 + 2.07321i 0.126969 + 0.0788116i
\(693\) −3.04367 2.55394i −0.115619 0.0970162i
\(694\) 0.230826 + 0.667121i 0.00876203 + 0.0253236i
\(695\) −0.686188 + 0.396171i −0.0260286 + 0.0150276i
\(696\) 11.6419 + 7.48624i 0.441286 + 0.283765i
\(697\) −2.85155 7.83458i −0.108010 0.296756i
\(698\) −3.60827 1.37889i −0.136575 0.0521918i
\(699\) −1.25744 + 7.13128i −0.0475606 + 0.269730i
\(700\) −13.8194 + 1.98440i −0.522322 + 0.0750031i
\(701\) 5.75372 4.82795i 0.217315 0.182349i −0.527631 0.849474i \(-0.676920\pi\)
0.744946 + 0.667125i \(0.232475\pi\)
\(702\) −11.3894 6.82024i −0.429864 0.257413i
\(703\) −0.837759 + 19.2204i −0.0315967 + 0.724911i
\(704\) −1.00210 + 10.4352i −0.0377681 + 0.393292i
\(705\) 0.226574 + 0.270021i 0.00853328 + 0.0101696i
\(706\) −27.5327 + 22.3639i −1.03621 + 0.841675i
\(707\) 14.4990 + 2.55656i 0.545289 + 0.0961492i
\(708\) −16.7844 + 13.1945i −0.630795 + 0.495880i
\(709\) −19.0347 + 6.92805i −0.714862 + 0.260188i −0.673743 0.738966i \(-0.735314\pi\)
−0.0411190 + 0.999154i \(0.513092\pi\)
\(710\) −0.194998 0.350546i −0.00731813 0.0131558i
\(711\) −11.9407 20.6820i −0.447813 0.775635i
\(712\) −26.5550 + 28.7344i −0.995191 + 1.07687i
\(713\) 33.7539 40.2263i 1.26409 1.50649i
\(714\) 0.0341016 2.13702i 0.00127622 0.0799758i
\(715\) −0.0606095 + 0.104979i −0.00226667 + 0.00392598i
\(716\) −34.1954 30.6048i −1.27794 1.14375i
\(717\) 18.7846 3.31222i 0.701522 0.123697i
\(718\) 7.21546 8.32558i 0.269279 0.310708i
\(719\) 9.88743 27.1655i 0.368739 1.01310i −0.607103 0.794623i \(-0.707668\pi\)
0.975842 0.218479i \(-0.0701094\pi\)
\(720\) 0.0445141 + 0.400441i 0.00165894 + 0.0149236i
\(721\) 0.809749i 0.0301566i
\(722\) 1.91844 + 26.8015i 0.0713971 + 0.997448i
\(723\) 8.61750i 0.320488i
\(724\) 15.9776 39.8894i 0.593803 1.48248i
\(725\) −9.18649 + 25.2397i −0.341178 + 0.937378i
\(726\) −9.03345 7.82895i −0.335263 0.290560i
\(727\) −12.6244 + 2.22602i −0.468212 + 0.0825584i −0.402776 0.915298i \(-0.631955\pi\)
−0.0654356 + 0.997857i \(0.520844\pi\)
\(728\) −7.52142 + 2.33652i −0.278762 + 0.0865971i
\(729\) −4.01571 + 6.95541i −0.148730 + 0.257608i
\(730\) −0.425545 0.00679066i −0.0157501 0.000251334i
\(731\) −0.315030 + 0.375438i −0.0116518 + 0.0138861i
\(732\) −4.57716 + 21.8554i −0.169177 + 0.807799i
\(733\) −25.7324 44.5699i −0.950450 1.64623i −0.744453 0.667674i \(-0.767290\pi\)
−0.205996 0.978553i \(-0.566044\pi\)
\(734\) −10.3953 + 5.78260i −0.383699 + 0.213440i
\(735\) −0.200463 + 0.0729627i −0.00739420 + 0.00269127i
\(736\) −28.0653 39.4496i −1.03450 1.45413i
\(737\) 14.1655 + 2.49776i 0.521792 + 0.0920061i
\(738\) 13.5807 + 16.7195i 0.499913 + 0.615455i
\(739\) 3.33185 + 3.97074i 0.122564 + 0.146066i 0.823837 0.566827i \(-0.191829\pi\)
−0.701273 + 0.712893i \(0.747385\pi\)
\(740\) −0.361062 + 0.193369i −0.0132729 + 0.00710839i
\(741\) 0.344578 7.90553i 0.0126584 0.290417i
\(742\) −5.33676 + 8.91205i −0.195919 + 0.327172i
\(743\) 12.0551 10.1154i 0.442259 0.371099i −0.394295 0.918984i \(-0.629011\pi\)
0.836554 + 0.547885i \(0.184567\pi\)
\(744\) 14.5736 + 6.10902i 0.534294 + 0.223968i
\(745\) −0.107794 + 0.611330i −0.00394927 + 0.0223974i
\(746\) −10.2944 + 26.9384i −0.376906 + 0.986285i
\(747\) −0.545236 1.49802i −0.0199492 0.0548098i
\(748\) 0.0993684 3.11273i 0.00363327 0.113813i
\(749\) −1.02199 + 0.590044i −0.0373425 + 0.0215597i
\(750\) 0.564539 0.195332i 0.0206140 0.00713252i
\(751\) 37.8228 + 31.7371i 1.38017 + 1.15810i 0.969148 + 0.246479i \(0.0792737\pi\)
0.411026 + 0.911624i \(0.365171\pi\)
\(752\) −2.12849 + 33.3036i −0.0776180 + 1.21446i
\(753\) −4.20954 2.43038i −0.153404 0.0885679i
\(754\) −2.86895 + 14.8784i −0.104481 + 0.541838i
\(755\) 0.00445125 + 0.0252443i 0.000161998 + 0.000918734i
\(756\) 4.10183 + 12.4967i 0.149182 + 0.454500i
\(757\) 45.1863 + 16.4465i 1.64232 + 0.597757i 0.987443 0.157975i \(-0.0504965\pi\)
0.654881 + 0.755732i \(0.272719\pi\)
\(758\) −3.98955 24.9472i −0.144907 0.906124i
\(759\) −10.2121 −0.370676
\(760\) −0.469958 + 0.326162i −0.0170472 + 0.0118311i
\(761\) −48.4854 −1.75759 −0.878797 0.477196i \(-0.841653\pi\)
−0.878797 + 0.477196i \(0.841653\pi\)
\(762\) −2.66432 16.6604i −0.0965183 0.603543i
\(763\) 10.6580 + 3.87919i 0.385845 + 0.140436i
\(764\) −4.79071 14.5954i −0.173322 0.528045i
\(765\) −0.0207847 0.117876i −0.000751472 0.00426181i
\(766\) 3.26257 16.9197i 0.117882 0.611333i
\(767\) −20.2410 11.6862i −0.730860 0.421962i
\(768\) 8.83151 11.5872i 0.318680 0.418118i
\(769\) 3.06662 + 2.57320i 0.110585 + 0.0927919i 0.696404 0.717650i \(-0.254782\pi\)
−0.585818 + 0.810442i \(0.699227\pi\)
\(770\) 0.113497 0.0392704i 0.00409015 0.00141521i
\(771\) 10.8700 6.27581i 0.391474 0.226018i
\(772\) −0.248209 + 7.77517i