Properties

Label 144.2.u.a.11.11
Level $144$
Weight $2$
Character 144.11
Analytic conductor $1.150$
Analytic rank $0$
Dimension $88$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.u (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(88\)
Relative dimension: \(22\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 11.11
Character \(\chi\) \(=\) 144.11
Dual form 144.2.u.a.131.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.311077 - 1.37958i) q^{2} +(-1.36635 + 1.06447i) q^{3} +(-1.80646 + 0.858309i) q^{4} +(2.31044 + 0.619079i) q^{5} +(1.89356 + 1.55385i) q^{6} +(2.51270 - 4.35213i) q^{7} +(1.74605 + 2.22515i) q^{8} +(0.733803 - 2.90887i) q^{9} +O(q^{10})\) \(q+(-0.311077 - 1.37958i) q^{2} +(-1.36635 + 1.06447i) q^{3} +(-1.80646 + 0.858309i) q^{4} +(2.31044 + 0.619079i) q^{5} +(1.89356 + 1.55385i) q^{6} +(2.51270 - 4.35213i) q^{7} +(1.74605 + 2.22515i) q^{8} +(0.733803 - 2.90887i) q^{9} +(0.135344 - 3.38000i) q^{10} +(-1.03121 + 0.276313i) q^{11} +(1.55461 - 3.09567i) q^{12} +(4.00543 + 1.07325i) q^{13} +(-6.78573 - 2.11262i) q^{14} +(-3.81585 + 1.61352i) q^{15} +(2.52661 - 3.10101i) q^{16} +2.22468i q^{17} +(-4.24128 - 0.107453i) q^{18} +(-0.697254 - 0.697254i) q^{19} +(-4.70507 + 0.864725i) q^{20} +(1.19949 + 8.62121i) q^{21} +(0.701981 + 1.33668i) q^{22} +(-2.20833 + 1.27498i) q^{23} +(-4.75432 - 1.18170i) q^{24} +(0.624725 + 0.360685i) q^{25} +(0.234635 - 5.85966i) q^{26} +(2.09378 + 4.75564i) q^{27} +(-0.803629 + 10.0186i) q^{28} +(0.589549 - 0.157969i) q^{29} +(3.41299 + 4.76232i) q^{30} +(0.190501 - 0.109986i) q^{31} +(-5.06405 - 2.52100i) q^{32} +(1.11487 - 1.47524i) q^{33} +(3.06912 - 0.692047i) q^{34} +(8.49974 - 8.49974i) q^{35} +(1.17113 + 5.88460i) q^{36} +(-5.16341 - 5.16341i) q^{37} +(-0.745016 + 1.17882i) q^{38} +(-6.61524 + 2.79723i) q^{39} +(2.65660 + 6.22201i) q^{40} +(0.828296 + 1.43465i) q^{41} +(11.5205 - 4.33665i) q^{42} +(1.33457 + 4.98067i) q^{43} +(1.62569 - 1.38425i) q^{44} +(3.49623 - 6.26648i) q^{45} +(2.44589 + 2.64994i) q^{46} +(-5.76715 + 9.98900i) q^{47} +(-0.151291 + 6.92655i) q^{48} +(-9.12734 - 15.8090i) q^{49} +(0.303255 - 0.974056i) q^{50} +(-2.36811 - 3.03968i) q^{51} +(-8.15683 + 1.49911i) q^{52} +(-7.80379 + 7.80379i) q^{53} +(5.90944 - 4.36790i) q^{54} -2.55361 q^{55} +(14.0715 - 2.00790i) q^{56} +(1.69490 + 0.210484i) q^{57} +(-0.401326 - 0.764188i) q^{58} +(1.36607 - 5.09824i) q^{59} +(5.50829 - 6.18993i) q^{60} +(1.73861 + 6.48859i) q^{61} +(-0.210995 - 0.228597i) q^{62} +(-10.8159 - 10.5027i) q^{63} +(-1.90260 + 7.77046i) q^{64} +(8.58985 + 4.95935i) q^{65} +(-2.38201 - 1.07913i) q^{66} +(-2.20370 + 8.22431i) q^{67} +(-1.90946 - 4.01880i) q^{68} +(1.66016 - 4.09277i) q^{69} +(-14.3701 - 9.08197i) q^{70} -12.0321i q^{71} +(7.75394 - 3.44622i) q^{72} -10.3710i q^{73} +(-5.51710 + 8.72954i) q^{74} +(-1.23753 + 0.172181i) q^{75} +(1.85802 + 0.661103i) q^{76} +(-1.38858 + 5.18226i) q^{77} +(5.91684 + 8.25608i) q^{78} +(7.74084 + 4.46918i) q^{79} +(7.75734 - 5.60050i) q^{80} +(-7.92307 - 4.26907i) q^{81} +(1.72155 - 1.58899i) q^{82} +(-1.48752 - 5.55149i) q^{83} +(-9.56650 - 14.5443i) q^{84} +(-1.37725 + 5.13998i) q^{85} +(6.45606 - 3.39051i) q^{86} +(-0.637375 + 0.843399i) q^{87} +(-2.41539 - 1.81215i) q^{88} +6.56588 q^{89} +(-9.73268 - 2.87395i) q^{90} +(14.7354 - 14.7354i) q^{91} +(2.89494 - 4.19864i) q^{92} +(-0.143214 + 0.353062i) q^{93} +(15.5746 + 4.84888i) q^{94} +(-1.17930 - 2.04262i) q^{95} +(9.60277 - 1.94597i) q^{96} +(-1.51787 + 2.62902i) q^{97} +(-18.9704 + 17.5097i) q^{98} +(0.0470514 + 3.20243i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} + O(q^{10}) \) \( 88q - 6q^{2} - 4q^{3} - 2q^{4} - 6q^{5} + 2q^{6} - 4q^{7} - 8q^{10} - 6q^{11} - 16q^{12} - 2q^{13} - 6q^{14} - 2q^{16} - 10q^{18} - 8q^{19} - 48q^{20} + 2q^{21} - 2q^{22} - 12q^{23} - 16q^{27} + 8q^{28} - 6q^{29} - 34q^{30} - 6q^{32} - 8q^{33} + 2q^{34} - 26q^{36} - 8q^{37} - 6q^{38} - 32q^{39} - 2q^{40} + 48q^{42} - 2q^{43} + 6q^{45} - 40q^{46} + 42q^{48} - 24q^{49} + 72q^{50} - 12q^{51} - 2q^{52} - 38q^{54} - 16q^{55} + 36q^{56} + 16q^{58} - 42q^{59} + 70q^{60} - 2q^{61} - 44q^{64} - 12q^{65} + 104q^{66} - 2q^{67} + 96q^{68} - 10q^{69} - 16q^{70} - 10q^{72} + 78q^{74} - 56q^{75} - 14q^{76} - 6q^{77} + 12q^{78} - 8q^{81} - 36q^{82} + 54q^{83} + 158q^{84} + 8q^{85} + 54q^{86} + 48q^{87} + 22q^{88} + 64q^{90} + 20q^{91} + 108q^{92} - 34q^{93} + 6q^{94} - 58q^{96} - 4q^{97} + 46q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.311077 1.37958i −0.219965 0.975508i
\(3\) −1.36635 + 1.06447i −0.788860 + 0.614573i
\(4\) −1.80646 + 0.858309i −0.903231 + 0.429155i
\(5\) 2.31044 + 0.619079i 1.03326 + 0.276861i 0.735317 0.677724i \(-0.237033\pi\)
0.297941 + 0.954584i \(0.403700\pi\)
\(6\) 1.89356 + 1.55385i 0.773042 + 0.634355i
\(7\) 2.51270 4.35213i 0.949712 1.64495i 0.203681 0.979037i \(-0.434709\pi\)
0.746030 0.665912i \(-0.231957\pi\)
\(8\) 1.74605 + 2.22515i 0.617323 + 0.786710i
\(9\) 0.733803 2.90887i 0.244601 0.969624i
\(10\) 0.135344 3.38000i 0.0427994 1.06885i
\(11\) −1.03121 + 0.276313i −0.310922 + 0.0833114i −0.410906 0.911678i \(-0.634788\pi\)
0.0999837 + 0.994989i \(0.468121\pi\)
\(12\) 1.55461 3.09567i 0.448776 0.893644i
\(13\) 4.00543 + 1.07325i 1.11091 + 0.297666i 0.767198 0.641411i \(-0.221650\pi\)
0.343708 + 0.939077i \(0.388317\pi\)
\(14\) −6.78573 2.11262i −1.81356 0.564620i
\(15\) −3.81585 + 1.61352i −0.985247 + 0.416608i
\(16\) 2.52661 3.10101i 0.631652 0.775252i
\(17\) 2.22468i 0.539564i 0.962921 + 0.269782i \(0.0869517\pi\)
−0.962921 + 0.269782i \(0.913048\pi\)
\(18\) −4.24128 0.107453i −0.999679 0.0253270i
\(19\) −0.697254 0.697254i −0.159961 0.159961i 0.622588 0.782549i \(-0.286081\pi\)
−0.782549 + 0.622588i \(0.786081\pi\)
\(20\) −4.70507 + 0.864725i −1.05209 + 0.193358i
\(21\) 1.19949 + 8.62121i 0.261751 + 1.88130i
\(22\) 0.701981 + 1.33668i 0.149663 + 0.284982i
\(23\) −2.20833 + 1.27498i −0.460469 + 0.265852i −0.712241 0.701935i \(-0.752320\pi\)
0.251773 + 0.967786i \(0.418987\pi\)
\(24\) −4.75432 1.18170i −0.970472 0.241215i
\(25\) 0.624725 + 0.360685i 0.124945 + 0.0721370i
\(26\) 0.234635 5.85966i 0.0460157 1.14917i
\(27\) 2.09378 + 4.75564i 0.402948 + 0.915223i
\(28\) −0.803629 + 10.0186i −0.151872 + 1.89334i
\(29\) 0.589549 0.157969i 0.109477 0.0293342i −0.203665 0.979041i \(-0.565285\pi\)
0.313141 + 0.949707i \(0.398619\pi\)
\(30\) 3.41299 + 4.76232i 0.623124 + 0.869477i
\(31\) 0.190501 0.109986i 0.0342150 0.0197541i −0.482795 0.875733i \(-0.660378\pi\)
0.517010 + 0.855979i \(0.327045\pi\)
\(32\) −5.06405 2.52100i −0.895205 0.445654i
\(33\) 1.11487 1.47524i 0.194073 0.256806i
\(34\) 3.06912 0.692047i 0.526349 0.118685i
\(35\) 8.49974 8.49974i 1.43672 1.43672i
\(36\) 1.17113 + 5.88460i 0.195188 + 0.980766i
\(37\) −5.16341 5.16341i −0.848859 0.848859i 0.141132 0.989991i \(-0.454926\pi\)
−0.989991 + 0.141132i \(0.954926\pi\)
\(38\) −0.745016 + 1.17882i −0.120857 + 0.191229i
\(39\) −6.61524 + 2.79723i −1.05929 + 0.447915i
\(40\) 2.65660 + 6.22201i 0.420045 + 0.983787i
\(41\) 0.828296 + 1.43465i 0.129358 + 0.224055i 0.923428 0.383772i \(-0.125375\pi\)
−0.794070 + 0.607826i \(0.792042\pi\)
\(42\) 11.5205 4.33665i 1.77765 0.669160i
\(43\) 1.33457 + 4.98067i 0.203519 + 0.759545i 0.989896 + 0.141797i \(0.0452881\pi\)
−0.786376 + 0.617748i \(0.788045\pi\)
\(44\) 1.62569 1.38425i 0.245081 0.208683i
\(45\) 3.49623 6.26648i 0.521187 0.934151i
\(46\) 2.44589 + 2.64994i 0.360627 + 0.390713i
\(47\) −5.76715 + 9.98900i −0.841226 + 1.45705i 0.0476333 + 0.998865i \(0.484832\pi\)
−0.888859 + 0.458181i \(0.848501\pi\)
\(48\) −0.151291 + 6.92655i −0.0218370 + 0.999762i
\(49\) −9.12734 15.8090i −1.30391 2.25843i
\(50\) 0.303255 0.974056i 0.0428867 0.137752i
\(51\) −2.36811 3.03968i −0.331601 0.425641i
\(52\) −8.15683 + 1.49911i −1.13115 + 0.207889i
\(53\) −7.80379 + 7.80379i −1.07193 + 1.07193i −0.0747298 + 0.997204i \(0.523809\pi\)
−0.997204 + 0.0747298i \(0.976191\pi\)
\(54\) 5.90944 4.36790i 0.804172 0.594396i
\(55\) −2.55361 −0.344329
\(56\) 14.0715 2.00790i 1.88038 0.268317i
\(57\) 1.69490 + 0.210484i 0.224495 + 0.0278792i
\(58\) −0.401326 0.764188i −0.0526967 0.100343i
\(59\) 1.36607 5.09824i 0.177847 0.663735i −0.818202 0.574931i \(-0.805029\pi\)
0.996049 0.0888039i \(-0.0283045\pi\)
\(60\) 5.50829 6.18993i 0.711117 0.799117i
\(61\) 1.73861 + 6.48859i 0.222606 + 0.830779i 0.983349 + 0.181725i \(0.0581681\pi\)
−0.760743 + 0.649053i \(0.775165\pi\)
\(62\) −0.210995 0.228597i −0.0267963 0.0290318i
\(63\) −10.8159 10.5027i −1.36268 1.32322i
\(64\) −1.90260 + 7.77046i −0.237825 + 0.971308i
\(65\) 8.58985 + 4.95935i 1.06544 + 0.615132i
\(66\) −2.38201 1.07913i −0.293205 0.132832i
\(67\) −2.20370 + 8.22431i −0.269224 + 1.00476i 0.690389 + 0.723438i \(0.257439\pi\)
−0.959614 + 0.281321i \(0.909227\pi\)
\(68\) −1.90946 4.01880i −0.231556 0.487351i
\(69\) 1.66016 4.09277i 0.199860 0.492712i
\(70\) −14.3701 9.08197i −1.71756 1.08550i
\(71\) 12.0321i 1.42795i −0.700171 0.713975i \(-0.746893\pi\)
0.700171 0.713975i \(-0.253107\pi\)
\(72\) 7.75394 3.44622i 0.913810 0.406141i
\(73\) 10.3710i 1.21383i −0.794766 0.606917i \(-0.792406\pi\)
0.794766 0.606917i \(-0.207594\pi\)
\(74\) −5.51710 + 8.72954i −0.641350 + 1.01479i
\(75\) −1.23753 + 0.172181i −0.142898 + 0.0198817i
\(76\) 1.85802 + 0.661103i 0.213130 + 0.0758338i
\(77\) −1.38858 + 5.18226i −0.158244 + 0.590574i
\(78\) 5.91684 + 8.25608i 0.669950 + 0.934817i
\(79\) 7.74084 + 4.46918i 0.870913 + 0.502822i 0.867651 0.497173i \(-0.165629\pi\)
0.00326134 + 0.999995i \(0.498962\pi\)
\(80\) 7.75734 5.60050i 0.867297 0.626155i
\(81\) −7.92307 4.26907i −0.880341 0.474342i
\(82\) 1.72155 1.58899i 0.190113 0.175474i
\(83\) −1.48752 5.55149i −0.163276 0.609355i −0.998254 0.0590710i \(-0.981186\pi\)
0.834978 0.550284i \(-0.185480\pi\)
\(84\) −9.56650 14.5443i −1.04379 1.58692i
\(85\) −1.37725 + 5.13998i −0.149384 + 0.557509i
\(86\) 6.45606 3.39051i 0.696175 0.365608i
\(87\) −0.637375 + 0.843399i −0.0683337 + 0.0904219i
\(88\) −2.41539 1.81215i −0.257481 0.193176i
\(89\) 6.56588 0.695982 0.347991 0.937498i \(-0.386864\pi\)
0.347991 + 0.937498i \(0.386864\pi\)
\(90\) −9.73268 2.87395i −1.02591 0.302941i
\(91\) 14.7354 14.7354i 1.54469 1.54469i
\(92\) 2.89494 4.19864i 0.301818 0.437738i
\(93\) −0.143214 + 0.353062i −0.0148506 + 0.0366108i
\(94\) 15.5746 + 4.84888i 1.60640 + 0.500124i
\(95\) −1.17930 2.04262i −0.120994 0.209568i
\(96\) 9.60277 1.94597i 0.980079 0.198610i
\(97\) −1.51787 + 2.62902i −0.154116 + 0.266936i −0.932737 0.360558i \(-0.882586\pi\)
0.778621 + 0.627495i \(0.215920\pi\)
\(98\) −18.9704 + 17.5097i −1.91630 + 1.76874i
\(99\) 0.0470514 + 3.20243i 0.00472884 + 0.321856i
\(100\) −1.43812 0.115357i −0.143812 0.0115357i
\(101\) −0.110910 0.413922i −0.0110360 0.0411868i 0.960188 0.279354i \(-0.0901202\pi\)
−0.971224 + 0.238167i \(0.923453\pi\)
\(102\) −3.45681 + 4.21256i −0.342275 + 0.417106i
\(103\) 4.07491 + 7.05795i 0.401513 + 0.695440i 0.993909 0.110207i \(-0.0351513\pi\)
−0.592396 + 0.805647i \(0.701818\pi\)
\(104\) 4.60554 + 10.7866i 0.451610 + 1.05772i
\(105\) −2.56586 + 20.6613i −0.250402 + 2.01634i
\(106\) 13.1935 + 8.33835i 1.28147 + 0.809892i
\(107\) 10.5385 + 10.5385i 1.01879 + 1.01879i 0.999820 + 0.0189732i \(0.00603973\pi\)
0.0189732 + 0.999820i \(0.493960\pi\)
\(108\) −7.86414 6.79376i −0.756728 0.653730i
\(109\) −7.21559 + 7.21559i −0.691128 + 0.691128i −0.962480 0.271352i \(-0.912529\pi\)
0.271352 + 0.962480i \(0.412529\pi\)
\(110\) 0.794370 + 3.52290i 0.0757402 + 0.335895i
\(111\) 12.5513 + 1.55870i 1.19132 + 0.147946i
\(112\) −7.14736 18.7880i −0.675362 1.77530i
\(113\) 2.83876 1.63896i 0.267048 0.154180i −0.360497 0.932760i \(-0.617393\pi\)
0.627545 + 0.778580i \(0.284060\pi\)
\(114\) −0.236866 2.40372i −0.0221845 0.225129i
\(115\) −5.89152 + 1.57863i −0.549387 + 0.147208i
\(116\) −0.929412 + 0.791381i −0.0862937 + 0.0734779i
\(117\) 6.06114 10.8637i 0.560353 1.00435i
\(118\) −7.45837 0.298651i −0.686599 0.0274931i
\(119\) 9.68209 + 5.58996i 0.887555 + 0.512430i
\(120\) −10.2530 5.67355i −0.935965 0.517922i
\(121\) −8.53923 + 4.93013i −0.776293 + 0.448193i
\(122\) 8.41066 4.41700i 0.761465 0.399896i
\(123\) −2.65888 1.07853i −0.239744 0.0972480i
\(124\) −0.249731 + 0.362194i −0.0224265 + 0.0325260i
\(125\) −7.23669 7.23669i −0.647269 0.647269i
\(126\) −11.1247 + 18.1886i −0.991069 + 1.62037i
\(127\) 6.21746i 0.551710i 0.961199 + 0.275855i \(0.0889610\pi\)
−0.961199 + 0.275855i \(0.911039\pi\)
\(128\) 11.3118 + 0.207571i 0.999832 + 0.0183468i
\(129\) −7.12526 5.38471i −0.627344 0.474097i
\(130\) 4.16970 13.3931i 0.365707 1.17465i
\(131\) −12.1351 3.25160i −1.06025 0.284093i −0.313769 0.949499i \(-0.601592\pi\)
−0.746482 + 0.665406i \(0.768258\pi\)
\(132\) −0.747757 + 3.62186i −0.0650839 + 0.315242i
\(133\) −4.78653 + 1.28255i −0.415045 + 0.111211i
\(134\) 12.0316 + 0.481774i 1.03937 + 0.0416189i
\(135\) 1.89343 + 12.2838i 0.162961 + 1.05722i
\(136\) −4.95025 + 3.88441i −0.424480 + 0.333085i
\(137\) 1.22043 2.11385i 0.104269 0.180598i −0.809171 0.587574i \(-0.800083\pi\)
0.913439 + 0.406975i \(0.133417\pi\)
\(138\) −6.16273 1.01716i −0.524606 0.0865861i
\(139\) −14.0914 3.77577i −1.19521 0.320257i −0.394270 0.918995i \(-0.629002\pi\)
−0.800945 + 0.598738i \(0.795669\pi\)
\(140\) −8.05906 + 22.6499i −0.681114 + 1.91426i
\(141\) −2.75308 19.7874i −0.231851 1.66640i
\(142\) −16.5992 + 3.74292i −1.39298 + 0.314099i
\(143\) −4.42700 −0.370204
\(144\) −7.16640 9.62511i −0.597200 0.802093i
\(145\) 1.45991 0.121239
\(146\) −14.3076 + 3.22618i −1.18410 + 0.267000i
\(147\) 29.2993 + 11.8848i 2.41657 + 0.980241i
\(148\) 13.7593 + 4.89570i 1.13101 + 0.402424i
\(149\) −0.231888 0.0621341i −0.0189970 0.00509023i 0.249308 0.968424i \(-0.419797\pi\)
−0.268305 + 0.963334i \(0.586464\pi\)
\(150\) 0.622504 + 1.65370i 0.0508272 + 0.135024i
\(151\) 1.91034 3.30881i 0.155462 0.269267i −0.777765 0.628555i \(-0.783647\pi\)
0.933227 + 0.359287i \(0.116980\pi\)
\(152\) 0.334054 2.76894i 0.0270954 0.224591i
\(153\) 6.47131 + 1.63248i 0.523174 + 0.131978i
\(154\) 7.58128 + 0.303573i 0.610917 + 0.0244626i
\(155\) 0.508231 0.136180i 0.0408221 0.0109382i
\(156\) 9.54930 10.7310i 0.764556 0.859169i
\(157\) −0.202591 0.0542841i −0.0161685 0.00433234i 0.250726 0.968058i \(-0.419331\pi\)
−0.266894 + 0.963726i \(0.585997\pi\)
\(158\) 3.75757 12.0693i 0.298936 0.960185i
\(159\) 2.35577 18.9696i 0.186825 1.50439i
\(160\) −10.1395 8.95965i −0.801594 0.708323i
\(161\) 12.8146i 1.00993i
\(162\) −3.42483 + 12.2585i −0.269080 + 0.963118i
\(163\) 7.63956 + 7.63956i 0.598377 + 0.598377i 0.939880 0.341504i \(-0.110936\pi\)
−0.341504 + 0.939880i \(0.610936\pi\)
\(164\) −2.72766 1.88071i −0.212995 0.146859i
\(165\) 3.48912 2.71824i 0.271627 0.211615i
\(166\) −7.19597 + 3.77908i −0.558515 + 0.293314i
\(167\) 3.93638 2.27267i 0.304607 0.175865i −0.339904 0.940460i \(-0.610395\pi\)
0.644510 + 0.764595i \(0.277061\pi\)
\(168\) −17.0891 + 17.7221i −1.31845 + 1.36729i
\(169\) 3.63324 + 2.09765i 0.279480 + 0.161358i
\(170\) 7.51943 + 0.301096i 0.576714 + 0.0230930i
\(171\) −2.53987 + 1.51658i −0.194229 + 0.115975i
\(172\) −6.68580 7.85192i −0.509787 0.598703i
\(173\) −16.8137 + 4.50521i −1.27832 + 0.342525i −0.833212 0.552953i \(-0.813501\pi\)
−0.445107 + 0.895478i \(0.646834\pi\)
\(174\) 1.36181 + 0.616945i 0.103238 + 0.0467705i
\(175\) 3.13949 1.81259i 0.237323 0.137019i
\(176\) −1.74863 + 3.89593i −0.131808 + 0.293667i
\(177\) 3.56041 + 8.42011i 0.267617 + 0.632894i
\(178\) −2.04250 9.05813i −0.153091 0.678936i
\(179\) 0.113028 0.113028i 0.00844808 0.00844808i −0.702870 0.711318i \(-0.748099\pi\)
0.711318 + 0.702870i \(0.248099\pi\)
\(180\) −0.937222 + 14.3210i −0.0698564 + 1.06742i
\(181\) 6.17637 + 6.17637i 0.459086 + 0.459086i 0.898355 0.439270i \(-0.144763\pi\)
−0.439270 + 0.898355i \(0.644763\pi\)
\(182\) −24.9124 15.7447i −1.84663 1.16708i
\(183\) −9.28246 7.01495i −0.686179 0.518560i
\(184\) −6.69289 2.68769i −0.493406 0.198139i
\(185\) −8.73316 15.1263i −0.642075 1.11211i
\(186\) 0.531626 + 0.0877448i 0.0389807 + 0.00643376i
\(187\) −0.614707 2.29412i −0.0449519 0.167763i
\(188\) 1.84449 22.9948i 0.134523 1.67706i
\(189\) 25.9582 + 2.83709i 1.88818 + 0.206368i
\(190\) −2.45109 + 2.26235i −0.177821 + 0.164128i
\(191\) 1.91222 3.31206i 0.138363 0.239653i −0.788514 0.615017i \(-0.789149\pi\)
0.926877 + 0.375364i \(0.122482\pi\)
\(192\) −5.67182 12.6424i −0.409328 0.912387i
\(193\) 4.69587 + 8.13348i 0.338016 + 0.585461i 0.984059 0.177840i \(-0.0569109\pi\)
−0.646044 + 0.763300i \(0.723578\pi\)
\(194\) 4.09911 + 1.27618i 0.294299 + 0.0916246i
\(195\) −17.0158 + 2.36746i −1.21853 + 0.169537i
\(196\) 30.0572 + 20.7243i 2.14694 + 1.48031i
\(197\) 6.00916 6.00916i 0.428135 0.428135i −0.459858 0.887993i \(-0.652100\pi\)
0.887993 + 0.459858i \(0.152100\pi\)
\(198\) 4.40335 1.06111i 0.312933 0.0754100i
\(199\) 17.0487 1.20855 0.604274 0.796776i \(-0.293463\pi\)
0.604274 + 0.796776i \(0.293463\pi\)
\(200\) 0.288223 + 2.01988i 0.0203805 + 0.142827i
\(201\) −5.74353 13.5830i −0.405117 0.958073i
\(202\) −0.536536 + 0.281771i −0.0377505 + 0.0198253i
\(203\) 0.793859 2.96272i 0.0557180 0.207942i
\(204\) 6.88688 + 3.45850i 0.482178 + 0.242144i
\(205\) 1.02556 + 3.82745i 0.0716284 + 0.267321i
\(206\) 8.46937 7.81721i 0.590089 0.544651i
\(207\) 2.08828 + 7.35934i 0.145145 + 0.511509i
\(208\) 13.4483 9.70917i 0.932472 0.673210i
\(209\) 0.911678 + 0.526357i 0.0630621 + 0.0364089i
\(210\) 29.3021 2.88747i 2.02203 0.199254i
\(211\) 0.173283 0.646700i 0.0119293 0.0445207i −0.959705 0.281011i \(-0.909330\pi\)
0.971634 + 0.236490i \(0.0759970\pi\)
\(212\) 7.39919 20.7953i 0.508178 1.42823i
\(213\) 12.8078 + 16.4400i 0.877579 + 1.12645i
\(214\) 11.2604 17.8169i 0.769742 1.21794i
\(215\) 12.3337i 0.841152i
\(216\) −6.92616 + 12.9626i −0.471266 + 0.881991i
\(217\) 1.10545i 0.0750426i
\(218\) 12.1991 + 7.70985i 0.826225 + 0.522177i
\(219\) 11.0396 + 14.1704i 0.745989 + 0.957545i
\(220\) 4.61300 2.19179i 0.311008 0.147770i
\(221\) −2.38764 + 8.91079i −0.160610 + 0.599405i
\(222\) −1.75407 17.8004i −0.117726 1.19468i
\(223\) 10.6472 + 6.14716i 0.712989 + 0.411644i 0.812167 0.583425i \(-0.198288\pi\)
−0.0991778 + 0.995070i \(0.531621\pi\)
\(224\) −23.6961 + 15.7049i −1.58327 + 1.04932i
\(225\) 1.50761 1.55257i 0.100507 0.103505i
\(226\) −3.14414 3.40645i −0.209145 0.226593i
\(227\) −4.87693 18.2009i −0.323693 1.20804i −0.915619 0.402047i \(-0.868299\pi\)
0.591926 0.805992i \(-0.298368\pi\)
\(228\) −3.24243 + 1.07452i −0.214735 + 0.0711615i
\(229\) 1.81356 6.76830i 0.119843 0.447262i −0.879760 0.475418i \(-0.842297\pi\)
0.999604 + 0.0281561i \(0.00896353\pi\)
\(230\) 4.01056 + 7.63673i 0.264448 + 0.503551i
\(231\) −3.61908 8.55887i −0.238118 0.563132i
\(232\) 1.38089 + 1.03601i 0.0906598 + 0.0680177i
\(233\) −24.5688 −1.60956 −0.804779 0.593575i \(-0.797716\pi\)
−0.804779 + 0.593575i \(0.797716\pi\)
\(234\) −16.8728 4.98235i −1.10301 0.325707i
\(235\) −19.5086 + 19.5086i −1.27260 + 1.27260i
\(236\) 1.90812 + 10.3823i 0.124208 + 0.675830i
\(237\) −15.3340 + 2.13346i −0.996049 + 0.138583i
\(238\) 4.69989 15.0961i 0.304649 0.978534i
\(239\) 1.70661 + 2.95593i 0.110391 + 0.191203i 0.915928 0.401343i \(-0.131456\pi\)
−0.805537 + 0.592546i \(0.798123\pi\)
\(240\) −4.63763 + 15.9097i −0.299358 + 1.02697i
\(241\) 12.9443 22.4201i 0.833813 1.44421i −0.0611802 0.998127i \(-0.519486\pi\)
0.894993 0.446080i \(-0.147180\pi\)
\(242\) 9.45784 + 10.2469i 0.607973 + 0.658694i
\(243\) 15.3700 2.60084i 0.985983 0.166844i
\(244\) −8.70995 10.2291i −0.557598 0.654852i
\(245\) −11.3011 42.1762i −0.722000 2.69454i
\(246\) −0.660800 + 4.00364i −0.0421311 + 0.255263i
\(247\) −2.04447 3.54113i −0.130087 0.225317i
\(248\) 0.577361 + 0.231853i 0.0366624 + 0.0147227i
\(249\) 7.94186 + 6.00183i 0.503295 + 0.380351i
\(250\) −7.73239 + 12.2347i −0.489040 + 0.773792i
\(251\) −19.0153 19.0153i −1.20024 1.20024i −0.974095 0.226140i \(-0.927389\pi\)
−0.226140 0.974095i \(-0.572611\pi\)
\(252\) 28.5532 + 9.68935i 1.79868 + 0.610371i
\(253\) 1.92497 1.92497i 0.121022 0.121022i
\(254\) 8.57746 1.93411i 0.538198 0.121357i
\(255\) −3.58955 8.48904i −0.224787 0.531604i
\(256\) −3.23248 15.6701i −0.202030 0.979379i
\(257\) −1.47472 + 0.851429i −0.0919904 + 0.0531107i −0.545290 0.838248i \(-0.683580\pi\)
0.453299 + 0.891358i \(0.350247\pi\)
\(258\) −5.21211 + 11.5049i −0.324492 + 0.716264i
\(259\) −35.4459 + 9.49770i −2.20250 + 0.590159i
\(260\) −19.7739 1.58613i −1.22633 0.0983678i
\(261\) −0.0268995 1.83084i −0.00166504 0.113326i
\(262\) −0.710866 + 17.7528i −0.0439174 + 1.09677i
\(263\) −1.41474 0.816800i −0.0872366 0.0503661i 0.455747 0.890109i \(-0.349372\pi\)
−0.542984 + 0.839743i \(0.682705\pi\)
\(264\) 5.22924 0.0950899i 0.321837 0.00585238i
\(265\) −22.8613 + 13.1990i −1.40436 + 0.810808i
\(266\) 3.25835 + 6.20441i 0.199782 + 0.380417i
\(267\) −8.97126 + 6.98919i −0.549032 + 0.427731i
\(268\) −3.07811 16.7484i −0.188025 1.02307i
\(269\) −1.20285 1.20285i −0.0733392 0.0733392i 0.669486 0.742825i \(-0.266515\pi\)
−0.742825 + 0.669486i \(0.766515\pi\)
\(270\) 16.3574 6.43334i 0.995483 0.391521i
\(271\) 22.9432i 1.39370i −0.717218 0.696849i \(-0.754585\pi\)
0.717218 0.696849i \(-0.245415\pi\)
\(272\) 6.89875 + 5.62090i 0.418298 + 0.340817i
\(273\) −4.44824 + 35.8190i −0.269219 + 2.16786i
\(274\) −3.29587 1.02611i −0.199110 0.0619895i
\(275\) −0.743886 0.199324i −0.0448580 0.0120197i
\(276\) 0.513838 + 8.81837i 0.0309294 + 0.530803i
\(277\) −3.87936 + 1.03947i −0.233088 + 0.0624558i −0.373472 0.927641i \(-0.621833\pi\)
0.140384 + 0.990097i \(0.455166\pi\)
\(278\) −0.825462 + 20.6147i −0.0495079 + 1.23639i
\(279\) −0.180145 0.634852i −0.0107850 0.0380076i
\(280\) 33.7542 + 4.07222i 2.01720 + 0.243362i
\(281\) 15.2214 26.3642i 0.908031 1.57276i 0.0912360 0.995829i \(-0.470918\pi\)
0.816795 0.576927i \(-0.195748\pi\)
\(282\) −26.4418 + 9.95349i −1.57459 + 0.592722i
\(283\) −11.5713 3.10051i −0.687841 0.184306i −0.102063 0.994778i \(-0.532544\pi\)
−0.585778 + 0.810472i \(0.699211\pi\)
\(284\) 10.3273 + 21.7356i 0.612812 + 1.28977i
\(285\) 3.78564 + 1.53558i 0.224242 + 0.0909602i
\(286\) 1.37714 + 6.10739i 0.0814319 + 0.361137i
\(287\) 8.32505 0.491412
\(288\) −11.0493 + 12.8807i −0.651085 + 0.759005i
\(289\) 12.0508 0.708871
\(290\) −0.454145 2.01406i −0.0266683 0.118270i
\(291\) −0.724586 5.20787i −0.0424760 0.305291i
\(292\) 8.90152 + 18.7348i 0.520922 + 1.09637i
\(293\) 18.6841 + 5.00638i 1.09153 + 0.292476i 0.759313 0.650726i \(-0.225535\pi\)
0.332222 + 0.943201i \(0.392202\pi\)
\(294\) 7.28162 44.1178i 0.424673 2.57300i
\(295\) 6.31244 10.9335i 0.367524 0.636571i
\(296\) 2.47379 20.5050i 0.143786 1.19183i
\(297\) −3.47318 4.32554i −0.201534 0.250993i
\(298\) −0.0135838 + 0.339235i −0.000786889 + 0.0196514i
\(299\) −10.2137 + 2.73675i −0.590672 + 0.158270i
\(300\) 2.08776 1.37322i 0.120537 0.0792830i
\(301\) 25.0299 + 6.70673i 1.44270 + 0.386570i
\(302\) −5.15903 1.60617i −0.296869 0.0924247i
\(303\) 0.592150 + 0.447500i 0.0340181 + 0.0257082i
\(304\) −3.92388 + 0.400500i −0.225050 + 0.0229703i
\(305\) 16.0678i 0.920040i
\(306\) 0.239049 9.43549i 0.0136655 0.539391i
\(307\) 2.25289 + 2.25289i 0.128579 + 0.128579i 0.768468 0.639889i \(-0.221020\pi\)
−0.639889 + 0.768468i \(0.721020\pi\)
\(308\) −1.93956 10.5534i −0.110517 0.601335i
\(309\) −13.0807 5.30598i −0.744136 0.301846i
\(310\) −0.345970 0.658781i −0.0196498 0.0374162i
\(311\) −24.7389 + 14.2830i −1.40281 + 0.809914i −0.994680 0.103009i \(-0.967153\pi\)
−0.408132 + 0.912923i \(0.633820\pi\)
\(312\) −17.7748 9.83581i −1.00630 0.556843i
\(313\) 18.1750 + 10.4933i 1.02731 + 0.593119i 0.916214 0.400690i \(-0.131230\pi\)
0.111099 + 0.993809i \(0.464563\pi\)
\(314\) −0.0118676 + 0.296376i −0.000669729 + 0.0167255i
\(315\) −18.4875 30.9618i −1.04165 1.74450i
\(316\) −17.8195 1.42936i −1.00242 0.0804079i
\(317\) 11.4744 3.07456i 0.644466 0.172684i 0.0782407 0.996934i \(-0.475070\pi\)
0.566226 + 0.824250i \(0.308403\pi\)
\(318\) −26.9028 + 2.65104i −1.50864 + 0.148663i
\(319\) −0.564302 + 0.325800i −0.0315949 + 0.0182413i
\(320\) −9.20637 + 16.7753i −0.514652 + 0.937767i
\(321\) −25.6171 3.18130i −1.42981 0.177563i
\(322\) 17.6787 3.98632i 0.985195 0.222149i
\(323\) 1.55117 1.55117i 0.0863093 0.0863093i
\(324\) 17.9769 + 0.911479i 0.998717 + 0.0506377i
\(325\) 2.11518 + 2.11518i 0.117329 + 0.117329i
\(326\) 8.16287 12.9159i 0.452099 0.715343i
\(327\) 2.17821 17.5398i 0.120455 0.969952i
\(328\) −1.74607 + 4.34806i −0.0964105 + 0.240082i
\(329\) 28.9823 + 50.1988i 1.59784 + 2.76755i
\(330\) −4.83541 3.96792i −0.266181 0.218427i
\(331\) −1.70973 6.38080i −0.0939753 0.350720i 0.902887 0.429878i \(-0.141444\pi\)
−0.996862 + 0.0791579i \(0.974777\pi\)
\(332\) 7.45203 + 8.75180i 0.408984 + 0.480317i
\(333\) −18.8086 + 11.2308i −1.03071 + 0.615442i
\(334\) −4.35984 4.72357i −0.238560 0.258462i
\(335\) −10.1830 + 17.6375i −0.556357 + 0.963638i
\(336\) 29.7651 + 18.0628i 1.62382 + 0.985406i
\(337\) 13.3790 + 23.1731i 0.728801 + 1.26232i 0.957390 + 0.288798i \(0.0932555\pi\)
−0.228589 + 0.973523i \(0.573411\pi\)
\(338\) 1.76365 5.66487i 0.0959302 0.308128i
\(339\) −2.13411 + 5.26117i −0.115909 + 0.285747i
\(340\) −1.92374 10.4673i −0.104329 0.567668i
\(341\) −0.166057 + 0.166057i −0.00899248 + 0.00899248i
\(342\) 2.88233 + 3.03217i 0.155858 + 0.163961i
\(343\) −56.5593 −3.05391
\(344\) −8.75252 + 11.6661i −0.471904 + 0.628995i
\(345\) 6.36945 8.42830i 0.342920 0.453765i
\(346\) 11.4456 + 21.7943i 0.615320 + 1.17167i
\(347\) −0.794096 + 2.96361i −0.0426293 + 0.159095i −0.983959 0.178393i \(-0.942910\pi\)
0.941330 + 0.337487i \(0.109577\pi\)
\(348\) 0.427496 2.07063i 0.0229162 0.110998i
\(349\) −6.07573 22.6749i −0.325226 1.21376i −0.914084 0.405524i \(-0.867089\pi\)
0.588858 0.808236i \(-0.299578\pi\)
\(350\) −3.47723 3.76732i −0.185866 0.201372i
\(351\) 3.28250 + 21.2955i 0.175207 + 1.13667i
\(352\) 5.91870 + 1.20043i 0.315468 + 0.0639830i
\(353\) 2.70837 + 1.56368i 0.144152 + 0.0832262i 0.570341 0.821408i \(-0.306811\pi\)
−0.426189 + 0.904634i \(0.640144\pi\)
\(354\) 10.5086 7.53116i 0.558527 0.400277i
\(355\) 7.44884 27.7994i 0.395343 1.47544i
\(356\) −11.8610 + 5.63556i −0.628632 + 0.298684i
\(357\) −19.1794 + 2.66849i −1.01508 + 0.141231i
\(358\) −0.191091 0.120770i −0.0100995 0.00638289i
\(359\) 25.4807i 1.34482i 0.740180 + 0.672409i \(0.234740\pi\)
−0.740180 + 0.672409i \(0.765260\pi\)
\(360\) 20.0485 3.16197i 1.05665 0.166650i
\(361\) 18.0277i 0.948825i
\(362\) 6.59944 10.4421i 0.346859 0.548824i
\(363\) 6.41956 15.8260i 0.336940 0.830651i
\(364\) −13.9714 + 39.2664i −0.732299 + 2.05812i
\(365\) 6.42047 23.9615i 0.336063 1.25420i
\(366\) −6.79010 + 14.9881i −0.354924 + 0.783438i
\(367\) 27.1264 + 15.6614i 1.41599 + 0.817520i 0.995943 0.0899840i \(-0.0286816\pi\)
0.420043 + 0.907504i \(0.362015\pi\)
\(368\) −1.62587 + 10.0694i −0.0847542 + 0.524905i
\(369\) 4.78102 1.35666i 0.248890 0.0706247i
\(370\) −18.1512 + 16.7535i −0.943635 + 0.870973i
\(371\) 14.3545 + 53.5717i 0.745248 + 2.78130i
\(372\) −0.0443262 0.760715i −0.00229820 0.0394412i
\(373\) 3.08646 11.5188i 0.159811 0.596423i −0.838834 0.544387i \(-0.816762\pi\)
0.998645 0.0520359i \(-0.0165710\pi\)
\(374\) −2.97369 + 1.56168i −0.153766 + 0.0807528i
\(375\) 17.5911 + 2.18457i 0.908398 + 0.112811i
\(376\) −32.2968 + 4.60853i −1.66558 + 0.237667i
\(377\) 2.53094 0.130350
\(378\) −4.16101 36.6938i −0.214019 1.88733i
\(379\) 3.76992 3.76992i 0.193648 0.193648i −0.603623 0.797270i \(-0.706277\pi\)
0.797270 + 0.603623i \(0.206277\pi\)
\(380\) 3.88357 + 2.67770i 0.199223 + 0.137363i
\(381\) −6.61830 8.49520i −0.339066 0.435222i
\(382\) −5.16410 1.60775i −0.264218 0.0822595i
\(383\) −9.14036 15.8316i −0.467051 0.808956i 0.532241 0.846593i \(-0.321350\pi\)
−0.999291 + 0.0376375i \(0.988017\pi\)
\(384\) −15.6768 + 11.7575i −0.800003 + 0.599996i
\(385\) −6.41646 + 11.1136i −0.327013 + 0.566403i
\(386\) 9.75998 9.00844i 0.496770 0.458518i
\(387\) 15.4674 0.227254i 0.786254 0.0115520i
\(388\) 0.485454 6.05202i 0.0246452 0.307245i
\(389\) 6.59172 + 24.6006i 0.334214 + 1.24730i 0.904719 + 0.426008i \(0.140081\pi\)
−0.570506 + 0.821294i \(0.693253\pi\)
\(390\) 8.55931 + 22.7381i 0.433418 + 1.15139i
\(391\) −2.83642 4.91283i −0.143444 0.248452i
\(392\) 19.2406 47.9131i 0.971799 2.41998i
\(393\) 20.0420 8.47468i 1.01099 0.427491i
\(394\) −10.1594 6.42078i −0.511824 0.323474i
\(395\) 15.1179 + 15.1179i 0.760666 + 0.760666i
\(396\) −2.83367 5.74468i −0.142397 0.288681i
\(397\) −4.35736 + 4.35736i −0.218689 + 0.218689i −0.807946 0.589257i \(-0.799421\pi\)
0.589257 + 0.807946i \(0.299421\pi\)
\(398\) −5.30345 23.5200i −0.265838 1.17895i
\(399\) 5.17482 6.84752i 0.259065 0.342805i
\(400\) 2.69692 1.02597i 0.134846 0.0512983i
\(401\) 31.6292 18.2611i 1.57948 0.911916i 0.584553 0.811355i \(-0.301270\pi\)
0.994931 0.100561i \(-0.0320636\pi\)
\(402\) −16.9521 + 12.1490i −0.845496 + 0.605937i
\(403\) 0.881081 0.236085i 0.0438898 0.0117602i
\(404\) 0.555628 + 0.652539i 0.0276435 + 0.0324650i
\(405\) −15.6628 14.7684i −0.778293 0.733849i
\(406\) −4.33425 0.173554i −0.215105 0.00861334i
\(407\) 6.75129 + 3.89786i 0.334649 + 0.193210i
\(408\) 2.62892 10.5768i 0.130151 0.523632i
\(409\) −6.64716 + 3.83774i −0.328681 + 0.189764i −0.655255 0.755407i \(-0.727439\pi\)
0.326574 + 0.945172i \(0.394106\pi\)
\(410\) 4.96123 2.60547i 0.245018 0.128675i
\(411\) 0.582600 + 4.18736i 0.0287375 + 0.206547i
\(412\) −13.4191 9.25238i −0.661110 0.455832i
\(413\) −18.7557 18.7557i −0.922907 0.922907i
\(414\) 9.50315 5.17026i 0.467054 0.254104i
\(415\) 13.7472i 0.674826i
\(416\) −17.5780 15.5327i −0.861832 0.761552i
\(417\) 23.2729 9.84085i 1.13968 0.481908i
\(418\) 0.442548 1.42147i 0.0216457 0.0695262i
\(419\) −6.22178 1.66712i −0.303954 0.0814442i 0.103618 0.994617i \(-0.466958\pi\)
−0.407572 + 0.913173i \(0.633625\pi\)
\(420\) −13.0987 39.5262i −0.639150 1.92868i
\(421\) −10.9977 + 2.94683i −0.535996 + 0.143620i −0.516655 0.856193i \(-0.672823\pi\)
−0.0193401 + 0.999813i \(0.506157\pi\)
\(422\) −0.946077 0.0378832i −0.0460543 0.00184413i
\(423\) 24.8248 + 24.1059i 1.20702 + 1.17207i
\(424\) −30.9905 3.73879i −1.50503 0.181572i
\(425\) −0.802409 + 1.38981i −0.0389225 + 0.0674158i
\(426\) 18.6961 22.7835i 0.905827 1.10387i
\(427\) 32.6078 + 8.73722i 1.57800 + 0.422824i
\(428\) −28.0826 9.99209i −1.35743 0.482986i
\(429\) 6.04882 4.71242i 0.292040 0.227518i
\(430\) 17.0153 3.83674i 0.820551 0.185024i
\(431\) 8.35135 0.402270 0.201135 0.979564i \(-0.435537\pi\)
0.201135 + 0.979564i \(0.435537\pi\)
\(432\) 20.0374 + 5.52281i 0.964051 + 0.265716i
\(433\) −1.97345 −0.0948380 −0.0474190 0.998875i \(-0.515100\pi\)
−0.0474190 + 0.998875i \(0.515100\pi\)
\(434\) −1.52505 + 0.343879i −0.0732047 + 0.0165067i
\(435\) −1.99474 + 1.55403i −0.0956406 + 0.0745102i
\(436\) 6.84148 19.2279i 0.327648 0.920850i
\(437\) 2.42875 + 0.650783i 0.116183 + 0.0311312i
\(438\) 16.1149 19.6381i 0.770001 0.938344i
\(439\) 0.292649 0.506883i 0.0139674 0.0241922i −0.858957 0.512047i \(-0.828887\pi\)
0.872925 + 0.487855i \(0.162221\pi\)
\(440\) −4.45874 5.68217i −0.212562 0.270887i
\(441\) −52.6840 + 14.9496i −2.50876 + 0.711884i
\(442\) 13.0359 + 0.521987i 0.620052 + 0.0248284i
\(443\) 27.1650 7.27885i 1.29065 0.345829i 0.452743 0.891641i \(-0.350446\pi\)
0.837907 + 0.545812i \(0.183779\pi\)
\(444\) −24.0113 + 7.95716i −1.13953 + 0.377630i
\(445\) 15.1700 + 4.06480i 0.719129 + 0.192690i
\(446\) 5.16838 16.6009i 0.244730 0.786074i
\(447\) 0.382979 0.161941i 0.0181143 0.00765955i
\(448\) 29.0374 + 27.8052i 1.37189 + 1.31367i
\(449\) 31.8656i 1.50383i −0.659258 0.751916i \(-0.729130\pi\)
0.659258 0.751916i \(-0.270870\pi\)
\(450\) −2.61088 1.59689i −0.123078 0.0752783i
\(451\) −1.25056 1.25056i −0.0588867 0.0588867i
\(452\) −3.72138 + 5.39725i −0.175039 + 0.253866i
\(453\) 0.911945 + 6.55449i 0.0428469 + 0.307957i
\(454\) −23.5925 + 12.3900i −1.10725 + 0.581491i
\(455\) 43.1675 24.9227i 2.02372 1.16840i
\(456\) 2.49102 + 4.13892i 0.116653 + 0.193823i
\(457\) −12.6310 7.29251i −0.590854 0.341129i 0.174581 0.984643i \(-0.444143\pi\)
−0.765435 + 0.643513i \(0.777476\pi\)
\(458\) −9.90154 0.396482i −0.462669 0.0185264i
\(459\) −10.5798 + 4.65799i −0.493821 + 0.217417i
\(460\) 9.28786 7.90848i 0.433049 0.368735i
\(461\) 3.65144 0.978401i 0.170065 0.0455687i −0.172782 0.984960i \(-0.555276\pi\)
0.342847 + 0.939391i \(0.388609\pi\)
\(462\) −10.6818 + 7.65527i −0.496962 + 0.356155i
\(463\) −15.8368 + 9.14339i −0.735999 + 0.424929i −0.820613 0.571484i \(-0.806368\pi\)
0.0846136 + 0.996414i \(0.473034\pi\)
\(464\) 0.999697 2.22732i 0.0464098 0.103401i
\(465\) −0.549459 + 0.727066i −0.0254806 + 0.0337169i
\(466\) 7.64280 + 33.8946i 0.354046 + 1.57014i
\(467\) 10.9698 10.9698i 0.507621 0.507621i −0.406175 0.913795i \(-0.633138\pi\)
0.913795 + 0.406175i \(0.133138\pi\)
\(468\) −1.62479 + 24.8272i −0.0751060 + 1.14764i
\(469\) 30.2560 + 30.2560i 1.39709 + 1.39709i
\(470\) 32.9823 + 20.8449i 1.52136 + 0.961505i
\(471\) 0.334593 0.141481i 0.0154172 0.00651912i
\(472\) 13.7296 5.86209i 0.631956 0.269824i
\(473\) −2.75244 4.76737i −0.126558 0.219204i
\(474\) 7.71332 + 20.4907i 0.354285 + 0.941170i
\(475\) −0.184103 0.687081i −0.00844722 0.0315254i
\(476\) −22.2882 1.78782i −1.02158 0.0819444i
\(477\) 16.9738 + 28.4267i 0.777177 + 1.30157i
\(478\) 3.54704 3.27392i 0.162238 0.149745i
\(479\) −6.26251 + 10.8470i −0.286142 + 0.495612i −0.972885 0.231288i \(-0.925706\pi\)
0.686744 + 0.726900i \(0.259039\pi\)
\(480\) 23.3913 + 1.44883i 1.06766 + 0.0661297i
\(481\) −15.1400 26.2233i −0.690326 1.19568i
\(482\) −34.9569 10.8832i −1.59224 0.495717i
\(483\) −13.6408 17.5092i −0.620676 0.796694i
\(484\) 11.1942 16.2354i 0.508828 0.737972i
\(485\) −5.13450 + 5.13450i −0.233146 + 0.233146i
\(486\) −8.36930 20.3950i −0.379639 0.925135i
\(487\) −12.7213 −0.576459 −0.288230 0.957561i \(-0.593067\pi\)
−0.288230 + 0.957561i \(0.593067\pi\)
\(488\) −11.4024 + 15.1981i −0.516162 + 0.687985i
\(489\) −18.5704 2.30619i −0.839782 0.104290i
\(490\) −54.6698 + 28.7108i −2.46973 + 1.29702i
\(491\) −2.83477 + 10.5795i −0.127931 + 0.477446i −0.999927 0.0120673i \(-0.996159\pi\)
0.871996 + 0.489513i \(0.162825\pi\)
\(492\) 5.72889 0.333817i 0.258278 0.0150496i
\(493\) 0.351431 + 1.31156i 0.0158277 + 0.0590696i
\(494\) −4.24927 + 3.92207i −0.191184 + 0.176462i
\(495\) −1.87385 + 7.42813i −0.0842231 + 0.333869i
\(496\) 0.140255 0.868637i 0.00629764 0.0390030i
\(497\) −52.3653 30.2331i −2.34891 1.35614i
\(498\) 5.80946 12.8234i 0.260328 0.574632i
\(499\) 6.20368 23.1524i 0.277715 1.03645i −0.676286 0.736639i \(-0.736411\pi\)
0.954000 0.299806i \(-0.0969219\pi\)
\(500\) 19.2841 + 6.86148i 0.862412 + 0.306855i
\(501\) −2.95927 + 7.29542i −0.132210 + 0.325936i
\(502\) −20.3178 + 32.1483i −0.906829 + 1.43485i
\(503\) 27.6712i 1.23380i −0.787042 0.616899i \(-0.788389\pi\)
0.787042 0.616899i \(-0.211611\pi\)
\(504\) 4.48495 42.4054i 0.199775 1.88889i
\(505\) 1.02500i 0.0456120i
\(506\) −3.25445 2.05683i −0.144678 0.0914371i
\(507\) −7.19716 + 1.00136i −0.319637 + 0.0444720i
\(508\) −5.33650 11.2316i −0.236769 0.498322i
\(509\) −7.37058 + 27.5074i −0.326695 + 1.21924i 0.585901 + 0.810383i \(0.300741\pi\)
−0.912597 + 0.408861i \(0.865926\pi\)
\(510\) −10.5946 + 7.59281i −0.469139 + 0.336215i
\(511\) −45.1359 26.0592i −1.99669 1.15279i
\(512\) −20.6125 + 9.33406i −0.910953 + 0.412511i
\(513\) 1.85599 4.77579i 0.0819439 0.210856i
\(514\) 1.63336 + 1.76963i 0.0720446 + 0.0780549i
\(515\) 5.04538 + 18.8296i 0.222326 + 0.829732i
\(516\) 17.4933 + 3.61160i 0.770098 + 0.158992i
\(517\) 3.18708 11.8943i 0.140167 0.523112i
\(518\) 24.1292 + 45.9458i 1.06018 + 2.01874i
\(519\) 18.1776 24.0533i 0.797909 1.05582i
\(520\) 3.96302 + 27.7730i 0.173790 + 1.21793i
\(521\) 13.7107 0.600678 0.300339 0.953832i \(-0.402900\pi\)
0.300339 + 0.953832i \(0.402900\pi\)
\(522\) −2.51742 + 0.606643i −0.110184 + 0.0265520i
\(523\) 4.42816 4.42816i 0.193630 0.193630i −0.603633 0.797262i \(-0.706281\pi\)
0.797262 + 0.603633i \(0.206281\pi\)
\(524\) 24.7125 4.54180i 1.07957 0.198410i
\(525\) −2.36019 + 5.81852i −0.103007 + 0.253941i
\(526\) −0.686745 + 2.20583i −0.0299435 + 0.0961787i
\(527\) 0.244683 + 0.423804i 0.0106586 + 0.0184612i
\(528\) −1.75788 7.18455i −0.0765019 0.312668i
\(529\) −8.24885 + 14.2874i −0.358646 + 0.621192i
\(530\) 25.3207 + 27.4330i 1.09986 + 1.19162i
\(531\) −13.8277 7.71483i −0.600072 0.334795i
\(532\) 7.54586 6.42519i 0.327155 0.278568i
\(533\) 1.77794 + 6.63536i 0.0770111 + 0.287409i
\(534\) 12.4329 + 10.2024i 0.538023 + 0.441500i
\(535\) 17.8243 + 30.8726i 0.770613 + 1.33474i
\(536\) −22.1481 + 9.45652i −0.956653 + 0.408459i
\(537\) −0.0341202 + 0.274750i −0.00147240 + 0.0118563i
\(538\) −1.28525 + 2.03361i −0.0554109 + 0.0876750i
\(539\) 13.7805 + 13.7805i 0.593566 + 0.593566i
\(540\) −13.9637 20.5651i −0.600903 0.884980i
\(541\) −23.9889 + 23.9889i −1.03136 + 1.03136i −0.0318715 + 0.999492i \(0.510147\pi\)
−0.999492 + 0.0318715i \(0.989853\pi\)
\(542\) −31.6519 + 7.13710i −1.35956 + 0.306565i
\(543\) −15.0136 1.86449i −0.644296 0.0800129i
\(544\) 5.60842 11.2659i 0.240459 0.483021i
\(545\) −21.1382 + 12.2041i −0.905460 + 0.522768i
\(546\) 50.7988 5.00578i 2.17399 0.214228i
\(547\) 2.39793 0.642523i 0.102528 0.0274723i −0.207190 0.978301i \(-0.566432\pi\)
0.309718 + 0.950828i \(0.399765\pi\)
\(548\) −0.390326 + 4.86610i −0.0166739 + 0.207869i
\(549\) 20.1503 0.296056i 0.859992 0.0126354i
\(550\) −0.0435763 + 1.08825i −0.00185810 + 0.0464033i
\(551\) −0.521210 0.300921i −0.0222043 0.0128197i
\(552\) 12.0058 3.45207i 0.510999 0.146930i
\(553\) 38.9008 22.4594i 1.65423 0.955071i
\(554\) 2.64081 + 5.02852i 0.112197 + 0.213641i
\(555\) 28.0340 + 11.3715i 1.18998 + 0.482695i
\(556\) 28.6963 5.27397i 1.21699 0.223666i
\(557\) 32.9289 + 32.9289i 1.39524 + 1.39524i 0.813056 + 0.582186i \(0.197802\pi\)
0.582186 + 0.813056i \(0.302198\pi\)
\(558\) −0.819787 + 0.446011i −0.0347044 + 0.0188812i
\(559\) 21.3820i 0.904363i
\(560\) −4.88222 47.8333i −0.206312 2.02133i
\(561\) 3.28193 + 2.48022i 0.138563 + 0.104715i
\(562\) −41.1065 12.7978i −1.73397 0.539841i
\(563\) 7.18131 + 1.92423i 0.302656 + 0.0810964i 0.406951 0.913450i \(-0.366592\pi\)
−0.104295 + 0.994546i \(0.533259\pi\)
\(564\) 21.9570 + 33.3822i 0.924558 + 1.40564i
\(565\) 7.57342 2.02929i 0.318616 0.0853730i
\(566\) −0.677836 + 16.9279i −0.0284916 + 0.711535i
\(567\) −38.4879 + 23.7553i −1.61634 + 0.997628i
\(568\) 26.7733 21.0087i 1.12338 0.881506i
\(569\) −13.9011 + 24.0775i −0.582766 + 1.00938i 0.412383 + 0.911010i \(0.364696\pi\)
−0.995150 + 0.0983706i \(0.968637\pi\)
\(570\) 0.940828 5.70027i 0.0394070 0.238758i
\(571\) 3.80886 + 1.02058i 0.159396 + 0.0427100i 0.337635 0.941277i \(-0.390373\pi\)
−0.178239 + 0.983987i \(0.557040\pi\)
\(572\) 7.99721 3.79974i 0.334380 0.158875i
\(573\) 0.912841 + 6.56093i 0.0381345 + 0.274087i
\(574\) −2.58973 11.4850i −0.108093 0.479376i
\(575\) −1.83947 −0.0767110
\(576\) 21.2071 + 11.2364i 0.883631 + 0.468184i
\(577\) −10.6180 −0.442032 −0.221016 0.975270i \(-0.570937\pi\)
−0.221016 + 0.975270i \(0.570937\pi\)
\(578\) −3.74873 16.6250i −0.155927 0.691509i
\(579\) −15.0740 6.11453i −0.626455 0.254111i
\(580\) −2.63727 + 1.25306i −0.109507 + 0.0520303i
\(581\) −27.8985 7.47537i −1.15742 0.310131i
\(582\) −6.95926 + 2.61967i −0.288471 + 0.108589i
\(583\) 5.89109 10.2037i 0.243984 0.422593i
\(584\) 23.0770 18.1083i 0.954935 0.749327i
\(585\) 20.7294 21.3476i 0.857054 0.882614i
\(586\) 1.09450 27.3335i 0.0452133 1.12913i
\(587\) 3.31853 0.889198i 0.136970 0.0367011i −0.189682 0.981845i \(-0.560746\pi\)
0.326653 + 0.945144i \(0.394079\pi\)
\(588\) −63.1290 + 3.67847i −2.60339 + 0.151697i
\(589\) −0.209516 0.0561396i −0.00863295 0.00231319i
\(590\) −17.0472 5.30734i −0.701822 0.218500i
\(591\) −1.81401 + 14.6072i −0.0746186 + 0.600859i
\(592\) −29.0577 + 2.96584i −1.19426 + 0.121895i
\(593\) 27.5541i 1.13151i −0.824573 0.565755i \(-0.808585\pi\)
0.824573 0.565755i \(-0.191415\pi\)
\(594\) −4.88698 + 6.13709i −0.200515 + 0.251808i
\(595\) 18.9092 + 18.9092i 0.775202 + 0.775202i
\(596\) 0.472227 0.0867885i 0.0193432 0.00355499i
\(597\) −23.2944 + 18.1478i −0.953376 + 0.742741i
\(598\) 6.95280 + 13.2392i 0.284321 + 0.541392i
\(599\) −14.5840 + 8.42008i −0.595886 + 0.344035i −0.767422 0.641143i \(-0.778461\pi\)
0.171535 + 0.985178i \(0.445127\pi\)
\(600\) −2.54392 2.45305i −0.103855 0.100145i
\(601\) 22.6011 + 13.0487i 0.921916 + 0.532269i 0.884246 0.467022i \(-0.154673\pi\)
0.0376703 + 0.999290i \(0.488006\pi\)
\(602\) 1.46623 36.6169i 0.0597591 1.49239i
\(603\) 22.3064 + 12.4453i 0.908386 + 0.506811i
\(604\) −0.610979 + 7.61691i −0.0248604 + 0.309928i
\(605\) −22.7815 + 6.10428i −0.926198 + 0.248174i
\(606\) 0.433156 0.956123i 0.0175958 0.0388398i
\(607\) 14.0103 8.08887i 0.568662 0.328317i −0.187953 0.982178i \(-0.560185\pi\)
0.756615 + 0.653861i \(0.226852\pi\)
\(608\) 1.77315 + 5.28870i 0.0719107 + 0.214485i
\(609\) 2.06905 + 4.89314i 0.0838420 + 0.198280i
\(610\) 22.1668 4.99833i 0.897506 0.202376i
\(611\) −33.8206 + 33.8206i −1.36824 + 1.36824i
\(612\) −13.0913 + 2.60538i −0.529186 + 0.105316i
\(613\) −0.969385 0.969385i −0.0391531 0.0391531i 0.687259 0.726412i \(-0.258814\pi\)
−0.726412 + 0.687259i \(0.758814\pi\)
\(614\) 2.40721 3.80885i 0.0971470 0.153713i
\(615\) −5.47548 4.13794i −0.220793 0.166858i
\(616\) −13.9559 + 5.95869i −0.562298 + 0.240083i
\(617\) −12.4805 21.6168i −0.502445 0.870260i −0.999996 0.00282568i \(-0.999101\pi\)
0.497551 0.867435i \(-0.334233\pi\)
\(618\) −3.25089 + 19.6964i −0.130770 + 0.792306i
\(619\) 2.62456 + 9.79499i 0.105490 + 0.393694i 0.998400 0.0565406i \(-0.0180070\pi\)
−0.892910 + 0.450235i \(0.851340\pi\)
\(620\) −0.801215 + 0.682223i −0.0321776 + 0.0273987i
\(621\) −10.6871 7.83249i −0.428859 0.314307i
\(622\) 27.4002 + 29.6860i 1.09865 + 1.19030i
\(623\) 16.4981 28.5755i 0.660982 1.14485i
\(624\) −8.03991 + 27.5814i −0.321854 + 1.10414i
\(625\) −14.0432 24.3236i −0.561730 0.972944i
\(626\) 8.82254 28.3381i 0.352620 1.13262i
\(627\) −1.80596 + 0.251268i −0.0721231 + 0.0100347i
\(628\) 0.412565 0.0758236i 0.0164632 0.00302569i
\(629\) 11.4869 11.4869i 0.458014 0.458014i
\(630\) −36.9631 + 35.1365i −1.47265 + 1.39987i
\(631\) 14.5051 0.577440 0.288720 0.957414i \(-0.406770\pi\)
0.288720 + 0.957414i \(0.406770\pi\)
\(632\) 3.57132 + 25.0280i 0.142059 + 0.995559i
\(633\) 0.451630 + 1.06807i 0.0179507 + 0.0424520i
\(634\) −7.81101 14.8734i −0.310215 0.590698i
\(635\) −3.84910 + 14.3650i −0.152747 + 0.570059i
\(636\) 12.0262 + 36.2898i 0.476869 + 1.43899i
\(637\) −19.5918 73.1177i −0.776257 2.89703i
\(638\) 0.625007 + 0.677149i 0.0247443 + 0.0268086i
\(639\) −34.9999 8.82920i −1.38457 0.349278i
\(640\) 26.0067 + 7.48248i 1.02800 + 0.295771i
\(641\) 16.9507 + 9.78651i 0.669514 + 0.386544i 0.795892 0.605438i \(-0.207002\pi\)
−0.126379 + 0.991982i \(0.540335\pi\)
\(642\) 3.58005 + 36.3304i 0.141293 + 1.43385i
\(643\) 10.0877 37.6479i 0.397821 1.48469i −0.419101 0.907940i \(-0.637655\pi\)
0.816922 0.576748i \(-0.195679\pi\)
\(644\) −10.9989 23.1491i −0.433416 0.912201i
\(645\) −13.1289 16.8521i −0.516949 0.663552i
\(646\) −2.62249 1.65742i −0.103180 0.0652104i
\(647\) 3.37402i 0.132647i 0.997798 + 0.0663233i \(0.0211269\pi\)
−0.997798 + 0.0663233i \(0.978873\pi\)
\(648\) −4.33475 25.0841i −0.170285 0.985395i
\(649\) 5.63484i 0.221187i
\(650\) 2.26007 3.57604i 0.0886473 0.140264i
\(651\) 1.17672 + 1.51042i 0.0461192 + 0.0591982i
\(652\) −20.3577 7.24347i −0.797269 0.283676i
\(653\) 7.10419 26.5132i 0.278008 1.03754i −0.675790 0.737094i \(-0.736197\pi\)
0.953798 0.300447i \(-0.0971359\pi\)
\(654\) −24.8751 + 2.45122i −0.972692 + 0.0958505i
\(655\) −26.0244 15.0252i −1.01686 0.587083i
\(656\) 6.54165 + 1.05625i 0.255408 + 0.0412397i
\(657\) −30.1679 7.61026i −1.17696 0.296905i
\(658\) 60.2373 55.5989i 2.34829 2.16747i
\(659\) −13.0568 48.7287i −0.508621 1.89820i −0.433813 0.901003i \(-0.642832\pi\)
−0.0748080 0.997198i \(-0.523834\pi\)
\(660\) −3.96986 + 7.90515i −0.154527 + 0.307707i
\(661\) −1.31049 + 4.89081i −0.0509721 + 0.190230i −0.986717 0.162446i \(-0.948062\pi\)
0.935745 + 0.352676i \(0.114728\pi\)
\(662\) −8.27094 + 4.34362i −0.321459 + 0.168820i
\(663\) −6.22294 14.7168i −0.241679 0.571553i
\(664\) 9.75562 13.0031i 0.378591 0.504620i
\(665\) −11.8530 −0.459638
\(666\) 21.3446 + 22.4543i 0.827088 + 0.870086i
\(667\) −1.10051 + 1.10051i −0.0426120 + 0.0426120i
\(668\) −5.16027 + 7.48413i −0.199657 + 0.289570i
\(669\) −21.0912 + 2.93448i −0.815434 + 0.113454i
\(670\) 27.4999 + 8.56161i 1.06242 + 0.330764i
\(671\) −3.58576 6.21072i −0.138427 0.239762i
\(672\) 15.6598 46.6821i 0.604089 1.80080i
\(673\) −17.6472 + 30.5658i −0.680249 + 1.17823i 0.294656 + 0.955603i \(0.404795\pi\)
−0.974905 + 0.222622i \(0.928538\pi\)
\(674\) 27.8072 25.6660i 1.07109 0.988617i
\(675\) −0.407250 + 3.72616i −0.0156750 + 0.143420i
\(676\) −8.36375 0.670885i −0.321683 0.0258033i
\(677\) 11.8371 + 44.1766i 0.454936 + 1.69785i 0.688275 + 0.725450i \(0.258368\pi\)
−0.233338 + 0.972396i \(0.574965\pi\)
\(678\) 7.92205 + 1.30753i 0.304245 + 0.0502155i
\(679\) 7.62788 + 13.2119i 0.292731 + 0.507025i
\(680\) −13.8420 + 5.91007i −0.530816 + 0.226641i
\(681\) 26.0380 + 19.6774i 0.997777 + 0.754041i
\(682\) 0.280745 + 0.177432i 0.0107503 + 0.00679421i
\(683\) −29.7527 29.7527i −1.13845 1.13845i −0.988727 0.149727i \(-0.952161\pi\)
−0.149727 0.988727i \(-0.547839\pi\)
\(684\) 3.28649 4.91963i 0.125662 0.188107i
\(685\) 4.12837 4.12837i 0.157737 0.157737i
\(686\) 17.5943 + 78.0278i 0.671753 + 2.97912i
\(687\) 4.72671 + 11.1783i 0.180335 + 0.426480i
\(688\) 18.8170 + 8.44571i 0.717392 + 0.321990i
\(689\) −39.6330 + 22.8821i −1.50990 + 0.871738i
\(690\) −13.6089 6.16529i −0.518081 0.234709i
\(691\) 36.5222 9.78609i 1.38937 0.372280i 0.514854 0.857278i \(-0.327846\pi\)
0.874516 + 0.484997i \(0.161179\pi\)
\(692\) 26.5064 22.5698i 1.00762 0.857975i
\(693\) 14.0556 + 7.84197i 0.533928 + 0.297892i
\(694\) 4.33555 + 0.173606i 0.164575 + 0.00658999i
\(695\) −30.2197 17.4474i −1.14630 0.661816i
\(696\) −2.98958 + 0.0543633i −0.113320 + 0.00206064i
\(697\) −3.19164 + 1.84269i −0.120892 + 0.0697970i
\(698\) −29.3918 + 15.4356i −1.11249 + 0.584245i
\(699\) 33.5695 26.1528i 1.26972 0.989190i
\(700\) −4.11561 + 5.96903i −0.155556 + 0.225608i
\(701\) 19.2180 + 19.2180i 0.725854 + 0.725854i 0.969791 0.243937i \(-0.0784390\pi\)
−0.243937 + 0.969791i \(0.578439\pi\)
\(702\) 28.3577 11.1530i 1.07029 0.420943i
\(703\) 7.20042i 0.271569i
\(704\) −0.185090 8.53872i −0.00697584 0.321815i
\(705\) 5.88916 47.4219i 0.221799 1.78601i
\(706\) 1.31470 4.22283i 0.0494795 0.158928i
\(707\) −2.08013 0.557368i −0.0782312 0.0209620i
\(708\) −13.6588 12.1547i −0.513329 0.456801i
\(709\) −30.3504 + 8.13238i −1.13983 + 0.305418i −0.778885 0.627167i \(-0.784214\pi\)
−0.360950 + 0.932585i \(0.617548\pi\)
\(710\) −40.6686 1.62847i −1.52627 0.0611154i
\(711\) 18.6805 19.2376i 0.700574 0.721467i
\(712\) 11.4644 + 14.6101i 0.429645 + 0.547536i
\(713\) −0.280460 + 0.485771i −0.0105033 + 0.0181923i
\(714\) 9.64767 + 25.6294i 0.361055 + 0.959155i
\(715\) −10.2283 2.74066i −0.382517 0.102495i
\(716\) −0.107167 + 0.301193i −0.00400504 + 0.0112561i
\(717\) −5.47832 2.22219i −0.204591 0.0829891i
\(718\) 35.1525 7.92646i 1.31188 0.295813i
\(719\) 19.9203 0.742903 0.371452 0.928452i \(-0.378860\pi\)
0.371452 + 0.928452i \(0.378860\pi\)
\(720\) −10.5988 26.6748i −0.394994 0.994110i
\(721\) 40.9561 1.52528
\(722\) −24.8706 + 5.60800i −0.925586 + 0.208708i
\(723\) 6.17923 + 44.4124i 0.229808 + 1.65172i
\(724\) −16.4586 5.85614i −0.611679 0.217642i
\(725\) 0.425283 + 0.113954i 0.0157946 + 0.00423216i
\(726\) −23.8302 3.93317i −0.884421 0.145973i
\(727\) 11.2366 19.4624i 0.416743 0.721819i −0.578867 0.815422i \(-0.696505\pi\)
0.995610 + 0.0936026i \(0.0298383\pi\)
\(728\) 58.5171 + 7.05970i 2.16879 + 0.261650i
\(729\) −18.2322 + 19.9145i −0.675265 + 0.737575i
\(730\) −35.0540 1.40365i −1.29741 0.0519513i
\(731\) −11.0804 + 2.96898i −0.409823 + 0.109812i
\(732\) 22.7894 + 4.70503i 0.842321 + 0.173903i
\(733\) −40.5613 10.8684i −1.49817 0.401432i −0.585681 0.810542i \(-0.699173\pi\)
−0.912485 + 0.409109i \(0.865839\pi\)
\(734\) 13.1677 42.2949i 0.486030 1.56113i
\(735\) 60.3366 + 45.5976i 2.22555 + 1.68189i
\(736\) 14.3973 0.889359i 0.530692 0.0327822i
\(737\) 9.08993i 0.334832i
\(738\) −3.35888 6.17376i −0.123642 0.227259i
\(739\) −4.75917 4.75917i −0.175069 0.175069i 0.614133 0.789202i \(-0.289506\pi\)
−0.789202 + 0.614133i \(0.789506\pi\)
\(740\) 28.7592 + 19.8293i 1.05721 + 0.728939i
\(741\) 6.56288 + 2.66213i 0.241094 + 0.0977956i
\(742\) 69.4409 36.4681i 2.54926 1.33878i
\(743\) −26.1387 + 15.0912i −0.958936 + 0.553642i −0.895845 0.444366i \(-0.853429\pi\)
−0.0630904 + 0.998008i \(0.520096\pi\)
\(744\) −1.03568 + 0.297792i −0.0379697 + 0.0109176i
\(745\) −0.497296 0.287114i −0.0182195 0.0105190i
\(746\) −16.8512 0.674765i −0.616968 0.0247049i
\(747\) −17.2401 + 0.253299i −0.630782 + 0.00926772i
\(748\) 3.07951 + 3.61663i 0.112598 + 0.132237i
\(749\) 72.3448 19.3847i 2.64342 0.708303i
\(750\) −2.45839 24.9478i −0.0897677 0.910964i
\(751\) −30.3572 + 17.5267i −1.10775 + 0.639559i −0.938245 0.345971i \(-0.887550\pi\)
−0.169503 + 0.985530i \(0.554216\pi\)
\(752\) 16.4046 + 43.1223i 0.598215 + 1.57251i
\(753\) 46.2227 + 5.74024i 1.68445 + 0.209186i
\(754\) −0.787317 3.49162i −0.0286724 0.127157i
\(755\) 6.46214 6.46214i 0.235182 0.235182i
\(756\) −49.3276 + 17.1550i −1.79403 + 0.623923i
\(757\) −24.7520 24.7520i −0.899626 0.899626i 0.0957772 0.995403i \(-0.469466\pi\)
−0.995403 + 0.0957772i \(0.969466\pi\)
\(758\) −6.37362 4.02815i −0.231500 0.146309i
\(759\) −0.581099 + 4.67924i −0.0210926 + 0.169846i
\(760\) 2.48600 6.19065i 0.0901768 0.224558i
\(761\) −24.7912 42.9396i −0.898681 1.55656i −0.829182 0.558978i \(-0.811193\pi\)
−0.0694983 0.997582i \(-0.522140\pi\)
\(762\) −9.66097 + 11.7731i −0.349980 + 0.426495i
\(763\) 13.2725 + 49.5338i 0.480498 + 1.79324i
\(764\) −0.611579 + 7.62440i −0.0221262 + 0.275841i
\(765\) 13.9409 + 7.77798i 0.504035 + 0.281214i
\(766\) −18.9975 + 17.5347i −0.686408 + 0.633553i
\(767\) 10.9434 18.9545i 0.395143 0.684408i
\(768\) 21.0970 + 17.9698i 0.761273 + 0.648431i
\(769\) 23.4383 + 40.5964i 0.845208 + 1.46394i 0.885440 + 0.464754i \(0.153857\pi\)
−0.0402316 + 0.999190i \(0.512810\pi\)
\(770\) 17.3281 + 5.39480i 0.624462 + 0.194415i
\(771\) 1.10865 2.73314i 0.0399272 0.0984317i
\(772\) −15.4639 10.6623i −0.556559 0.383745i
\(773\) 12.8895 12.8895i 0.463605 0.463605i