Properties

Label 930.2.br.b.11.1
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.1
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.b.761.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.72275 + 0.179283i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.58303 - 0.702867i) q^{6} +(-0.113415 - 1.07907i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(2.93571 - 0.617720i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(-1.72275 + 0.179283i) q^{3} +(0.809017 - 0.587785i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(1.58303 - 0.702867i) q^{6} +(-0.113415 - 1.07907i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(2.93571 - 0.617720i) q^{9} +(0.669131 - 0.743145i) q^{10} +(-2.56206 - 1.14070i) q^{11} +(-1.28835 + 1.15765i) q^{12} +(1.02862 + 4.83927i) q^{13} +(0.441316 + 0.991212i) q^{14} +(1.40230 - 1.01664i) q^{15} +(0.309017 - 0.951057i) q^{16} +(-1.58997 + 0.707901i) q^{17} +(-2.60114 + 1.49467i) q^{18} +(1.90535 + 0.404995i) q^{19} +(-0.406737 + 0.913545i) q^{20} +(0.388846 + 1.83864i) q^{21} +(2.78916 + 0.293153i) q^{22} +(-4.13404 - 3.00356i) q^{23} +(0.867562 - 1.49911i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.47369 - 4.28455i) q^{26} +(-4.94675 + 1.59050i) q^{27} +(-0.726018 - 0.806325i) q^{28} +(-0.677305 - 2.08453i) q^{29} +(-1.01951 + 1.40021i) q^{30} +(0.859116 - 5.50108i) q^{31} +1.00000i q^{32} +(4.61829 + 1.50581i) q^{33} +(1.29340 - 1.16458i) q^{34} +(0.637757 + 0.877797i) q^{35} +(2.01196 - 2.22532i) q^{36} +(2.45281 + 1.41613i) q^{37} +(-1.93725 + 0.203613i) q^{38} +(-2.63965 - 8.15242i) q^{39} +(0.104528 - 0.994522i) q^{40} +(-0.267518 - 0.240874i) q^{41} +(-0.937984 - 1.62849i) q^{42} +(-0.350040 + 1.64681i) q^{43} +(-2.74324 + 0.583094i) q^{44} +(-2.23354 + 2.00282i) q^{45} +(4.85986 + 1.57906i) q^{46} +(4.18402 + 1.35947i) q^{47} +(-0.361849 + 1.69383i) q^{48} +(5.69550 - 1.21062i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(2.61220 - 1.50459i) q^{51} +(3.67662 + 3.31044i) q^{52} +(0.556631 - 5.29599i) q^{53} +(4.21314 - 3.04128i) q^{54} +(2.78916 - 0.293153i) q^{55} +(0.939652 + 0.542509i) q^{56} +(-3.35505 - 0.356106i) q^{57} +(1.28831 + 1.77321i) q^{58} +(8.37326 - 7.53932i) q^{59} +(0.536921 - 1.64673i) q^{60} +2.17337i q^{61} +(0.882860 + 5.49732i) q^{62} +(-0.999520 - 3.09779i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-3.31044 - 3.67662i) q^{65} +(-4.85758 - 0.00497752i) q^{66} +(0.967850 + 1.67637i) q^{67} +(-0.870221 + 1.50727i) q^{68} +(7.66039 + 4.43320i) q^{69} +(-0.877797 - 0.637757i) q^{70} +(9.83673 + 1.03388i) q^{71} +(-1.22582 + 2.73813i) q^{72} +(5.48528 - 12.3201i) q^{73} +(-2.77037 - 0.588861i) q^{74} +(-0.706110 + 1.58158i) q^{75} +(1.77951 - 0.792289i) q^{76} +(-0.940326 + 2.89403i) q^{77} +(5.02969 + 6.93771i) q^{78} +(-6.34492 - 14.2509i) q^{79} +(0.207912 + 0.978148i) q^{80} +(8.23684 - 3.62690i) q^{81} +(0.328859 + 0.146417i) q^{82} +(8.96001 - 9.95110i) q^{83} +(1.39531 + 1.25893i) q^{84} +(1.02301 - 1.40805i) q^{85} +(-0.175984 - 1.67438i) q^{86} +(1.54055 + 3.46969i) q^{87} +(2.42879 - 1.40226i) q^{88} +(5.49395 - 3.99159i) q^{89} +(1.50532 - 2.59500i) q^{90} +(5.10526 - 1.65880i) q^{91} -5.10996 q^{92} +(-0.493787 + 9.63100i) q^{93} -4.39934 q^{94} +(-1.85258 + 0.601940i) q^{95} +(-0.179283 - 1.72275i) q^{96} +(-5.71138 + 4.14956i) q^{97} +(-5.04264 + 2.91137i) q^{98} +(-8.22612 - 1.76614i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} + 4q^{9} + 22q^{10} + 38q^{13} - 44q^{16} + 4q^{18} + 8q^{19} - 42q^{21} + 4q^{22} + 88q^{25} + 30q^{27} + 36q^{28} + 32q^{31} - 70q^{33} + 14q^{34} - 4q^{36} + 42q^{37} + 58q^{39} - 22q^{40} - 12q^{42} - 46q^{43} + 16q^{45} + 10q^{46} + 38q^{49} + 38q^{51} + 2q^{52} + 4q^{55} + 78q^{57} - 40q^{58} + 16q^{63} + 44q^{64} + 34q^{66} - 76q^{67} + 148q^{69} - 8q^{70} - 4q^{72} - 52q^{73} + 12q^{76} + 60q^{78} + 8q^{79} - 108q^{81} - 40q^{82} - 8q^{84} + 28q^{87} + 6q^{88} + 24q^{90} - 20q^{91} - 28q^{93} - 20q^{94} - 112q^{97} - 132q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) −1.72275 + 0.179283i −0.994628 + 0.103509i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 1.58303 0.702867i 0.646269 0.286944i
\(7\) −0.113415 1.07907i −0.0428669 0.407851i −0.994823 0.101618i \(-0.967598\pi\)
0.951957 0.306233i \(-0.0990687\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) 2.93571 0.617720i 0.978572 0.205907i
\(10\) 0.669131 0.743145i 0.211598 0.235003i
\(11\) −2.56206 1.14070i −0.772491 0.343935i −0.0176510 0.999844i \(-0.505619\pi\)
−0.754840 + 0.655909i \(0.772285\pi\)
\(12\) −1.28835 + 1.15765i −0.371915 + 0.334184i
\(13\) 1.02862 + 4.83927i 0.285287 + 1.34217i 0.854274 + 0.519824i \(0.174002\pi\)
−0.568986 + 0.822347i \(0.692664\pi\)
\(14\) 0.441316 + 0.991212i 0.117947 + 0.264913i
\(15\) 1.40230 1.01664i 0.362073 0.262495i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) −1.58997 + 0.707901i −0.385625 + 0.171691i −0.590387 0.807121i \(-0.701025\pi\)
0.204762 + 0.978812i \(0.434358\pi\)
\(18\) −2.60114 + 1.49467i −0.613096 + 0.352298i
\(19\) 1.90535 + 0.404995i 0.437117 + 0.0929122i 0.421214 0.906961i \(-0.361604\pi\)
0.0159036 + 0.999874i \(0.494938\pi\)
\(20\) −0.406737 + 0.913545i −0.0909491 + 0.204275i
\(21\) 0.388846 + 1.83864i 0.0848531 + 0.401223i
\(22\) 2.78916 + 0.293153i 0.594652 + 0.0625004i
\(23\) −4.13404 3.00356i −0.862007 0.626285i 0.0664232 0.997792i \(-0.478841\pi\)
−0.928430 + 0.371507i \(0.878841\pi\)
\(24\) 0.867562 1.49911i 0.177090 0.306005i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.47369 4.28455i −0.485130 0.840270i
\(27\) −4.94675 + 1.59050i −0.952002 + 0.306092i
\(28\) −0.726018 0.806325i −0.137205 0.152381i
\(29\) −0.677305 2.08453i −0.125772 0.387087i 0.868269 0.496094i \(-0.165233\pi\)
−0.994041 + 0.109007i \(0.965233\pi\)
\(30\) −1.01951 + 1.40021i −0.186136 + 0.255643i
\(31\) 0.859116 5.50108i 0.154302 0.988024i
\(32\) 1.00000i 0.176777i
\(33\) 4.61829 + 1.50581i 0.803942 + 0.262128i
\(34\) 1.29340 1.16458i 0.221816 0.199724i
\(35\) 0.637757 + 0.877797i 0.107801 + 0.148375i
\(36\) 2.01196 2.22532i 0.335326 0.370886i
\(37\) 2.45281 + 1.41613i 0.403240 + 0.232811i 0.687881 0.725824i \(-0.258541\pi\)
−0.284641 + 0.958634i \(0.591874\pi\)
\(38\) −1.93725 + 0.203613i −0.314263 + 0.0330304i
\(39\) −2.63965 8.15242i −0.422682 1.30543i
\(40\) 0.104528 0.994522i 0.0165274 0.157248i
\(41\) −0.267518 0.240874i −0.0417792 0.0376182i 0.647977 0.761660i \(-0.275615\pi\)
−0.689756 + 0.724042i \(0.742282\pi\)
\(42\) −0.937984 1.62849i −0.144734 0.251281i
\(43\) −0.350040 + 1.64681i −0.0533806 + 0.251136i −0.996745 0.0806234i \(-0.974309\pi\)
0.943364 + 0.331759i \(0.107642\pi\)
\(44\) −2.74324 + 0.583094i −0.413559 + 0.0879047i
\(45\) −2.23354 + 2.00282i −0.332957 + 0.298563i
\(46\) 4.85986 + 1.57906i 0.716547 + 0.232820i
\(47\) 4.18402 + 1.35947i 0.610302 + 0.198299i 0.597830 0.801623i \(-0.296030\pi\)
0.0124720 + 0.999922i \(0.496030\pi\)
\(48\) −0.361849 + 1.69383i −0.0522285 + 0.244484i
\(49\) 5.69550 1.21062i 0.813642 0.172945i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 2.61220 1.50459i 0.365782 0.210685i
\(52\) 3.67662 + 3.31044i 0.509855 + 0.459076i
\(53\) 0.556631 5.29599i 0.0764592 0.727461i −0.887391 0.461017i \(-0.847485\pi\)
0.963850 0.266444i \(-0.0858486\pi\)
\(54\) 4.21314 3.04128i 0.573336 0.413866i
\(55\) 2.78916 0.293153i 0.376091 0.0395287i
\(56\) 0.939652 + 0.542509i 0.125566 + 0.0724958i
\(57\) −3.35505 0.356106i −0.444387 0.0471674i
\(58\) 1.28831 + 1.77321i 0.169163 + 0.232833i
\(59\) 8.37326 7.53932i 1.09011 0.981536i 0.0902095 0.995923i \(-0.471246\pi\)
0.999897 + 0.0143869i \(0.00457966\pi\)
\(60\) 0.536921 1.64673i 0.0693162 0.212592i
\(61\) 2.17337i 0.278271i 0.990273 + 0.139136i \(0.0444324\pi\)
−0.990273 + 0.139136i \(0.955568\pi\)
\(62\) 0.882860 + 5.49732i 0.112123 + 0.698161i
\(63\) −0.999520 3.09779i −0.125928 0.390285i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −3.31044 3.67662i −0.410610 0.456028i
\(66\) −4.85758 0.00497752i −0.597927 0.000612690i
\(67\) 0.967850 + 1.67637i 0.118242 + 0.204801i 0.919071 0.394092i \(-0.128941\pi\)
−0.800829 + 0.598893i \(0.795608\pi\)
\(68\) −0.870221 + 1.50727i −0.105530 + 0.182783i
\(69\) 7.66039 + 4.43320i 0.922203 + 0.533695i
\(70\) −0.877797 0.637757i −0.104917 0.0762265i
\(71\) 9.83673 + 1.03388i 1.16741 + 0.122699i 0.668334 0.743862i \(-0.267008\pi\)
0.499072 + 0.866561i \(0.333674\pi\)
\(72\) −1.22582 + 2.73813i −0.144465 + 0.322692i
\(73\) 5.48528 12.3201i 0.642004 1.44196i −0.240024 0.970767i \(-0.577155\pi\)
0.882028 0.471197i \(-0.156178\pi\)
\(74\) −2.77037 0.588861i −0.322049 0.0684537i
\(75\) −0.706110 + 1.58158i −0.0815345 + 0.182626i
\(76\) 1.77951 0.792289i 0.204124 0.0908818i
\(77\) −0.940326 + 2.89403i −0.107160 + 0.329805i
\(78\) 5.02969 + 6.93771i 0.569500 + 0.785541i
\(79\) −6.34492 14.2509i −0.713859 1.60335i −0.794970 0.606649i \(-0.792513\pi\)
0.0811108 0.996705i \(-0.474153\pi\)
\(80\) 0.207912 + 0.978148i 0.0232452 + 0.109360i
\(81\) 8.23684 3.62690i 0.915205 0.402989i
\(82\) 0.328859 + 0.146417i 0.0363164 + 0.0161691i
\(83\) 8.96001 9.95110i 0.983489 1.09228i −0.0122372 0.999925i \(-0.503895\pi\)
0.995727 0.0923505i \(-0.0294380\pi\)
\(84\) 1.39531 + 1.25893i 0.152240 + 0.137361i
\(85\) 1.02301 1.40805i 0.110961 0.152724i
\(86\) −0.175984 1.67438i −0.0189768 0.180553i
\(87\) 1.54055 + 3.46969i 0.165164 + 0.371990i
\(88\) 2.42879 1.40226i 0.258910 0.149482i
\(89\) 5.49395 3.99159i 0.582358 0.423108i −0.257216 0.966354i \(-0.582805\pi\)
0.839573 + 0.543246i \(0.182805\pi\)
\(90\) 1.50532 2.59500i 0.158675 0.273537i
\(91\) 5.10526 1.65880i 0.535177 0.173889i
\(92\) −5.10996 −0.532750
\(93\) −0.493787 + 9.63100i −0.0512033 + 0.998688i
\(94\) −4.39934 −0.453757
\(95\) −1.85258 + 0.601940i −0.190071 + 0.0617577i
\(96\) −0.179283 1.72275i −0.0182980 0.175827i
\(97\) −5.71138 + 4.14956i −0.579903 + 0.421324i −0.838689 0.544611i \(-0.816677\pi\)
0.258786 + 0.965935i \(0.416677\pi\)
\(98\) −5.04264 + 2.91137i −0.509383 + 0.294093i
\(99\) −8.22612 1.76614i −0.826756 0.177504i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) −2.22301 + 3.05971i −0.221198 + 0.304452i −0.905165 0.425060i \(-0.860253\pi\)
0.683968 + 0.729512i \(0.260253\pi\)
\(102\) −2.01941 + 2.23817i −0.199951 + 0.221611i
\(103\) 8.12338 9.02192i 0.800420 0.888957i −0.195360 0.980732i \(-0.562587\pi\)
0.995780 + 0.0917750i \(0.0292541\pi\)
\(104\) −4.51965 2.01228i −0.443189 0.197320i
\(105\) −1.25607 1.39788i −0.122580 0.136419i
\(106\) 1.10716 + 5.20880i 0.107537 + 0.505923i
\(107\) 0.518603 + 1.16480i 0.0501353 + 0.112606i 0.936876 0.349661i \(-0.113703\pi\)
−0.886741 + 0.462266i \(0.847036\pi\)
\(108\) −3.06713 + 4.19437i −0.295135 + 0.403603i
\(109\) 3.02851 9.32081i 0.290079 0.892771i −0.694751 0.719250i \(-0.744486\pi\)
0.984830 0.173521i \(-0.0555145\pi\)
\(110\) −2.56206 + 1.14070i −0.244283 + 0.108762i
\(111\) −4.47946 1.99989i −0.425172 0.189821i
\(112\) −1.06131 0.225588i −0.100284 0.0213160i
\(113\) −5.22443 + 11.7343i −0.491473 + 1.10387i 0.482230 + 0.876044i \(0.339827\pi\)
−0.973703 + 0.227821i \(0.926840\pi\)
\(114\) 3.30088 0.698090i 0.309156 0.0653821i
\(115\) 5.08196 + 0.534136i 0.473895 + 0.0498084i
\(116\) −1.77321 1.28831i −0.164638 0.119617i
\(117\) 6.00904 + 13.5713i 0.555536 + 1.25467i
\(118\) −5.63367 + 9.75780i −0.518621 + 0.898278i
\(119\) 0.944204 + 1.63541i 0.0865551 + 0.149918i
\(120\) −0.00177482 + 1.73205i −0.000162018 + 0.158114i
\(121\) −2.09748 2.32948i −0.190680 0.211771i
\(122\) −0.671608 2.06700i −0.0608045 0.187137i
\(123\) 0.504050 + 0.367004i 0.0454487 + 0.0330916i
\(124\) −2.53842 4.95545i −0.227956 0.445012i
\(125\) 1.00000i 0.0894427i
\(126\) 1.90787 + 2.63731i 0.169967 + 0.234950i
\(127\) 2.48363 2.23627i 0.220387 0.198437i −0.551540 0.834148i \(-0.685960\pi\)
0.771927 + 0.635711i \(0.219293\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 0.307785 2.89979i 0.0270989 0.255312i
\(130\) 4.28455 + 2.47369i 0.375780 + 0.216957i
\(131\) 8.72067 0.916579i 0.761928 0.0800819i 0.284409 0.958703i \(-0.408203\pi\)
0.477519 + 0.878621i \(0.341536\pi\)
\(132\) 4.62137 1.49634i 0.402239 0.130240i
\(133\) 0.220923 2.10195i 0.0191565 0.182262i
\(134\) −1.43851 1.29524i −0.124268 0.111891i
\(135\) 3.48876 3.85079i 0.300265 0.331423i
\(136\) 0.361858 1.70241i 0.0310291 0.145980i
\(137\) −6.54191 + 1.39053i −0.558914 + 0.118801i −0.478703 0.877977i \(-0.658893\pi\)
−0.0802110 + 0.996778i \(0.525559\pi\)
\(138\) −8.65540 1.84903i −0.736797 0.157400i
\(139\) −12.3210 4.00333i −1.04505 0.339558i −0.264327 0.964433i \(-0.585150\pi\)
−0.780725 + 0.624875i \(0.785150\pi\)
\(140\) 1.03191 + 0.335289i 0.0872125 + 0.0283371i
\(141\) −7.45173 1.59190i −0.627549 0.134062i
\(142\) −9.67478 + 2.05644i −0.811889 + 0.172572i
\(143\) 2.88479 13.5718i 0.241238 1.13494i
\(144\) 0.319699 2.98292i 0.0266416 0.248576i
\(145\) 1.62883 + 1.46660i 0.135267 + 0.121795i
\(146\) −1.40968 + 13.4122i −0.116666 + 1.11000i
\(147\) −9.59486 + 3.10669i −0.791371 + 0.256236i
\(148\) 2.81675 0.296052i 0.231535 0.0243353i
\(149\) 13.9398 + 8.04813i 1.14199 + 0.659329i 0.946923 0.321461i \(-0.104174\pi\)
0.195068 + 0.980790i \(0.437507\pi\)
\(150\) 0.182814 1.72238i 0.0149267 0.140631i
\(151\) −5.36846 7.38905i −0.436879 0.601312i 0.532636 0.846344i \(-0.321201\pi\)
−0.969515 + 0.245032i \(0.921201\pi\)
\(152\) −1.44758 + 1.30341i −0.117415 + 0.105721i
\(153\) −4.23042 + 3.06035i −0.342009 + 0.247415i
\(154\) 3.04296i 0.245209i
\(155\) 2.00653 + 5.19364i 0.161168 + 0.417163i
\(156\) −6.92739 5.04390i −0.554635 0.403835i
\(157\) 5.24115 + 16.1306i 0.418289 + 1.28736i 0.909276 + 0.416195i \(0.136636\pi\)
−0.490986 + 0.871167i \(0.663364\pi\)
\(158\) 10.4382 + 11.5927i 0.830415 + 0.922269i
\(159\) −0.00945119 + 9.22345i −0.000749528 + 0.731467i
\(160\) −0.500000 0.866025i −0.0395285 0.0684653i
\(161\) −2.77219 + 4.80158i −0.218480 + 0.378418i
\(162\) −6.71293 + 5.99471i −0.527418 + 0.470989i
\(163\) −11.5080 8.36106i −0.901377 0.654889i 0.0374423 0.999299i \(-0.488079\pi\)
−0.938819 + 0.344410i \(0.888079\pi\)
\(164\) −0.358009 0.0376282i −0.0279558 0.00293827i
\(165\) −4.75247 + 1.00508i −0.369979 + 0.0782453i
\(166\) −5.44642 + 12.2329i −0.422724 + 0.949454i
\(167\) 9.78410 + 2.07968i 0.757117 + 0.160930i 0.570268 0.821459i \(-0.306839\pi\)
0.186849 + 0.982389i \(0.440173\pi\)
\(168\) −1.71605 0.766141i −0.132396 0.0591091i
\(169\) −10.4843 + 4.66793i −0.806488 + 0.359072i
\(170\) −0.537826 + 1.65526i −0.0412494 + 0.126952i
\(171\) 5.84374 + 0.0119761i 0.446882 + 0.000915833i
\(172\) 0.684782 + 1.53804i 0.0522141 + 0.117275i
\(173\) −3.30095 15.5298i −0.250967 1.18071i −0.905391 0.424578i \(-0.860422\pi\)
0.654424 0.756127i \(-0.272911\pi\)
\(174\) −2.53734 2.82381i −0.192355 0.214073i
\(175\) −0.991212 0.441316i −0.0749286 0.0333604i
\(176\) −1.87659 + 2.08417i −0.141454 + 0.157100i
\(177\) −13.0733 + 14.4895i −0.982652 + 1.08910i
\(178\) −3.99159 + 5.49395i −0.299182 + 0.411789i
\(179\) 2.74109 + 26.0797i 0.204878 + 1.94929i 0.300283 + 0.953850i \(0.402919\pi\)
−0.0954047 + 0.995439i \(0.530415\pi\)
\(180\) −0.629748 + 2.93316i −0.0469386 + 0.218625i
\(181\) 8.18523 4.72575i 0.608404 0.351262i −0.163937 0.986471i \(-0.552419\pi\)
0.772340 + 0.635209i \(0.219086\pi\)
\(182\) −4.34279 + 3.15522i −0.321909 + 0.233881i
\(183\) −0.389649 3.74416i −0.0288037 0.276777i
\(184\) 4.85986 1.57906i 0.358273 0.116410i
\(185\) −2.83226 −0.208232
\(186\) −2.50652 9.31221i −0.183787 0.682805i
\(187\) 4.88111 0.356942
\(188\) 4.18402 1.35947i 0.305151 0.0991495i
\(189\) 2.27730 + 5.15752i 0.165649 + 0.375154i
\(190\) 1.57590 1.14496i 0.114328 0.0830639i
\(191\) −5.63445 + 3.25305i −0.407694 + 0.235382i −0.689799 0.724001i \(-0.742301\pi\)
0.282104 + 0.959384i \(0.408968\pi\)
\(192\) 0.702867 + 1.58303i 0.0507250 + 0.114245i
\(193\) −1.15411 10.9807i −0.0830749 0.790405i −0.954165 0.299281i \(-0.903253\pi\)
0.871090 0.491123i \(-0.163414\pi\)
\(194\) 4.14956 5.71138i 0.297921 0.410053i
\(195\) 6.36221 + 5.74038i 0.455607 + 0.411077i
\(196\) 3.89617 4.32714i 0.278298 0.309081i
\(197\) −19.6057 8.72900i −1.39685 0.621916i −0.436240 0.899830i \(-0.643690\pi\)
−0.960606 + 0.277915i \(0.910357\pi\)
\(198\) 8.36927 0.862309i 0.594778 0.0612816i
\(199\) −0.723398 3.40332i −0.0512803 0.241255i 0.945041 0.326952i \(-0.106022\pi\)
−0.996321 + 0.0856971i \(0.972688\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) −1.96791 2.71443i −0.138805 0.191461i
\(202\) 1.16870 3.59690i 0.0822297 0.253077i
\(203\) −2.17254 + 0.967279i −0.152483 + 0.0678896i
\(204\) 1.22894 2.75265i 0.0860432 0.192724i
\(205\) 0.352114 + 0.0748442i 0.0245927 + 0.00522734i
\(206\) −4.93786 + 11.0906i −0.344037 + 0.772720i
\(207\) −13.9917 6.26391i −0.972492 0.435372i
\(208\) 4.92028 + 0.517142i 0.341160 + 0.0358573i
\(209\) −4.41965 3.21106i −0.305713 0.222114i
\(210\) 1.62656 + 0.941320i 0.112243 + 0.0649572i
\(211\) −5.90668 + 10.2307i −0.406633 + 0.704308i −0.994510 0.104642i \(-0.966630\pi\)
0.587877 + 0.808950i \(0.299964\pi\)
\(212\) −2.66258 4.61173i −0.182867 0.316735i
\(213\) −17.1316 0.0175546i −1.17384 0.00120282i
\(214\) −0.853164 0.947535i −0.0583211 0.0647722i
\(215\) −0.520261 1.60120i −0.0354815 0.109201i
\(216\) 1.62088 4.93688i 0.110287 0.335912i
\(217\) −6.03351 0.303143i −0.409581 0.0205787i
\(218\) 9.80048i 0.663772i
\(219\) −7.24096 + 22.2079i −0.489299 + 1.50067i
\(220\) 2.08417 1.87659i 0.140515 0.126520i
\(221\) −5.06119 6.96614i −0.340453 0.468593i
\(222\) 4.87822 + 0.517776i 0.327405 + 0.0347509i
\(223\) −19.6581 11.3496i −1.31640 0.760025i −0.333254 0.942837i \(-0.608147\pi\)
−0.983148 + 0.182812i \(0.941480\pi\)
\(224\) 1.07907 0.113415i 0.0720986 0.00757787i
\(225\) 0.932896 2.85126i 0.0621931 0.190084i
\(226\) 1.34264 12.7744i 0.0893111 0.849739i
\(227\) −11.1638 10.0519i −0.740969 0.667171i 0.209564 0.977795i \(-0.432795\pi\)
−0.950533 + 0.310624i \(0.899462\pi\)
\(228\) −2.92360 + 1.68395i −0.193620 + 0.111522i
\(229\) −4.47148 + 21.0367i −0.295484 + 1.39014i 0.540480 + 0.841357i \(0.318243\pi\)
−0.835964 + 0.548785i \(0.815091\pi\)
\(230\) −4.99829 + 1.06242i −0.329578 + 0.0700539i
\(231\) 1.10109 5.15426i 0.0724466 0.339125i
\(232\) 2.08453 + 0.677305i 0.136856 + 0.0444672i
\(233\) 15.7270 + 5.11001i 1.03031 + 0.334768i 0.774913 0.632068i \(-0.217794\pi\)
0.255397 + 0.966836i \(0.417794\pi\)
\(234\) −9.90870 11.0502i −0.647752 0.722373i
\(235\) −4.30320 + 0.914673i −0.280710 + 0.0596667i
\(236\) 2.34261 11.0211i 0.152491 0.717414i
\(237\) 13.4856 + 23.4132i 0.875987 + 1.52085i
\(238\) −1.40336 1.26359i −0.0909664 0.0819065i
\(239\) −0.171834 + 1.63489i −0.0111150 + 0.105752i −0.998673 0.0515046i \(-0.983598\pi\)
0.987558 + 0.157257i \(0.0502650\pi\)
\(240\) −0.533545 1.64783i −0.0344402 0.106367i
\(241\) 5.82709 0.612452i 0.375356 0.0394515i 0.0850275 0.996379i \(-0.472902\pi\)
0.290328 + 0.956927i \(0.406236\pi\)
\(242\) 2.71467 + 1.56732i 0.174506 + 0.100751i
\(243\) −13.5398 + 7.72496i −0.868576 + 0.495556i
\(244\) 1.27747 + 1.75829i 0.0817819 + 0.112563i
\(245\) −4.32714 + 3.89617i −0.276451 + 0.248917i
\(246\) −0.592790 0.193281i −0.0377949 0.0123232i
\(247\) 9.63708i 0.613193i
\(248\) 3.94549 + 3.92850i 0.250539 + 0.249460i
\(249\) −13.6518 + 18.7496i −0.865146 + 1.18821i
\(250\) −0.309017 0.951057i −0.0195440 0.0601501i
\(251\) 4.26731 + 4.73932i 0.269350 + 0.299143i 0.862612 0.505866i \(-0.168827\pi\)
−0.593262 + 0.805009i \(0.702160\pi\)
\(252\) −2.62947 1.91866i −0.165641 0.120864i
\(253\) 7.16550 + 12.4110i 0.450491 + 0.780274i
\(254\) −1.67103 + 2.89430i −0.104850 + 0.181605i
\(255\) −1.50994 + 2.60912i −0.0945561 + 0.163389i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −21.3550 2.24450i −1.33209 0.140008i −0.588420 0.808555i \(-0.700250\pi\)
−0.743670 + 0.668547i \(0.766917\pi\)
\(258\) 0.603364 + 2.85298i 0.0375638 + 0.177619i
\(259\) 1.24992 2.80737i 0.0776665 0.174442i
\(260\) −4.83927 1.02862i −0.300119 0.0637922i
\(261\) −3.27603 5.70120i −0.202781 0.352895i
\(262\) −8.01061 + 3.56655i −0.494897 + 0.220342i
\(263\) 6.72329 20.6922i 0.414576 1.27593i −0.498053 0.867146i \(-0.665952\pi\)
0.912630 0.408788i \(-0.134048\pi\)
\(264\) −3.93279 + 2.85119i −0.242047 + 0.175478i
\(265\) 2.16594 + 4.86478i 0.133053 + 0.298841i
\(266\) 0.439426 + 2.06734i 0.0269430 + 0.126757i
\(267\) −8.74906 + 7.86147i −0.535434 + 0.481114i
\(268\) 1.76835 + 0.787320i 0.108019 + 0.0480932i
\(269\) 15.0429 16.7068i 0.917181 1.01863i −0.0825761 0.996585i \(-0.526315\pi\)
0.999757 0.0220477i \(-0.00701857\pi\)
\(270\) −2.12805 + 4.74040i −0.129509 + 0.288492i
\(271\) −15.5909 + 21.4591i −0.947082 + 1.30355i 0.00572905 + 0.999984i \(0.498176\pi\)
−0.952811 + 0.303563i \(0.901824\pi\)
\(272\) 0.181926 + 1.73091i 0.0110309 + 0.104952i
\(273\) −8.49768 + 3.77298i −0.514303 + 0.228351i
\(274\) 5.79203 3.34403i 0.349910 0.202020i
\(275\) −2.26891 + 1.64846i −0.136820 + 0.0994058i
\(276\) 8.80316 0.916130i 0.529888 0.0551446i
\(277\) 16.9181 5.49703i 1.01651 0.330285i 0.247067 0.968998i \(-0.420533\pi\)
0.769445 + 0.638713i \(0.220533\pi\)
\(278\) 12.9551 0.776992
\(279\) −0.876008 16.6803i −0.0524453 0.998624i
\(280\) −1.08502 −0.0648422
\(281\) −0.545324 + 0.177186i −0.0325313 + 0.0105701i −0.325237 0.945632i \(-0.605444\pi\)
0.292706 + 0.956202i \(0.405444\pi\)
\(282\) 7.57894 0.788728i 0.451320 0.0469681i
\(283\) 22.5931 16.4149i 1.34302 0.975762i 0.343695 0.939081i \(-0.388321\pi\)
0.999327 0.0366809i \(-0.0116785\pi\)
\(284\) 8.56578 4.94546i 0.508286 0.293459i
\(285\) 3.08361 1.36913i 0.182657 0.0811001i
\(286\) 1.45034 + 13.7990i 0.0857603 + 0.815955i
\(287\) −0.229580 + 0.315990i −0.0135517 + 0.0186523i
\(288\) 0.617720 + 2.93571i 0.0363995 + 0.172989i
\(289\) −9.34833 + 10.3824i −0.549902 + 0.610728i
\(290\) −2.00231 0.891487i −0.117580 0.0523499i
\(291\) 9.09532 8.17260i 0.533177 0.479086i
\(292\) −2.80391 13.1914i −0.164087 0.771967i
\(293\) 6.04617 + 13.5799i 0.353221 + 0.793347i 0.999541 + 0.0302813i \(0.00964030\pi\)
−0.646320 + 0.763066i \(0.723693\pi\)
\(294\) 8.16523 5.91961i 0.476206 0.345239i
\(295\) −3.48180 + 10.7159i −0.202718 + 0.623902i
\(296\) −2.58740 + 1.15199i −0.150390 + 0.0669578i
\(297\) 14.4882 + 1.56781i 0.840689 + 0.0909737i
\(298\) −15.7445 3.34660i −0.912056 0.193863i
\(299\) 10.2827 23.0952i 0.594662 1.33563i
\(300\) 0.358377 + 1.69457i 0.0206909 + 0.0978360i
\(301\) 1.81673 + 0.190946i 0.104714 + 0.0110059i
\(302\) 7.38905 + 5.36846i 0.425192 + 0.308920i
\(303\) 3.28113 5.66965i 0.188496 0.325713i
\(304\) 0.973959 1.68695i 0.0558604 0.0967530i
\(305\) −1.08668 1.88219i −0.0622233 0.107774i
\(306\) 3.07767 4.21784i 0.175939 0.241118i
\(307\) 5.33919 + 5.92977i 0.304723 + 0.338430i 0.875985 0.482338i \(-0.160212\pi\)
−0.571262 + 0.820768i \(0.693546\pi\)
\(308\) 0.940326 + 2.89403i 0.0535801 + 0.164902i
\(309\) −12.3770 + 16.9989i −0.704105 + 0.967033i
\(310\) −3.51324 4.31939i −0.199539 0.245325i
\(311\) 1.63084i 0.0924767i −0.998930 0.0462384i \(-0.985277\pi\)
0.998930 0.0462384i \(-0.0147234\pi\)
\(312\) 8.14699 + 2.65635i 0.461232 + 0.150386i
\(313\) 8.87925 7.99491i 0.501885 0.451899i −0.378885 0.925444i \(-0.623692\pi\)
0.880770 + 0.473545i \(0.157026\pi\)
\(314\) −9.96926 13.7215i −0.562598 0.774349i
\(315\) 2.41451 + 2.18301i 0.136042 + 0.122999i
\(316\) −13.5096 7.79979i −0.759976 0.438772i
\(317\) 15.7851 1.65908i 0.886580 0.0931833i 0.349719 0.936854i \(-0.386277\pi\)
0.536860 + 0.843671i \(0.319610\pi\)
\(318\) −2.84122 8.77495i −0.159327 0.492075i
\(319\) −0.642534 + 6.11330i −0.0359750 + 0.342279i
\(320\) 0.743145 + 0.669131i 0.0415431 + 0.0374055i
\(321\) −1.10225 1.91368i −0.0615217 0.106811i
\(322\) 1.15274 5.42323i 0.0642399 0.302225i
\(323\) −3.31615 + 0.704870i −0.184516 + 0.0392200i
\(324\) 4.53191 7.77572i 0.251773 0.431984i
\(325\) 4.70524 + 1.52882i 0.261000 + 0.0848039i
\(326\) 13.5285 + 4.39567i 0.749273 + 0.243454i
\(327\) −3.54630 + 16.6004i −0.196111 + 0.918002i
\(328\) 0.352114 0.0748442i 0.0194423 0.00413258i
\(329\) 0.992436 4.66905i 0.0547148 0.257413i
\(330\) 4.20928 2.42448i 0.231713 0.133463i
\(331\) −4.94172 4.44955i −0.271622 0.244569i 0.522051 0.852914i \(-0.325167\pi\)
−0.793673 + 0.608345i \(0.791834\pi\)
\(332\) 1.39969 13.3172i 0.0768181 0.730875i
\(333\) 8.07553 + 2.64221i 0.442536 + 0.144792i
\(334\) −9.94789 + 1.04557i −0.544324 + 0.0572108i
\(335\) −1.67637 0.967850i −0.0915896 0.0528793i
\(336\) 1.86881 + 0.198356i 0.101952 + 0.0108212i
\(337\) 3.31825 + 4.56717i 0.180756 + 0.248790i 0.889774 0.456400i \(-0.150862\pi\)
−0.709018 + 0.705190i \(0.750862\pi\)
\(338\) 8.52874 7.67931i 0.463902 0.417699i
\(339\) 6.89661 21.1518i 0.374572 1.14881i
\(340\) 1.74044i 0.0943887i
\(341\) −8.47622 + 13.1141i −0.459013 + 0.710170i
\(342\) −5.56143 + 1.79443i −0.300728 + 0.0970314i
\(343\) −4.29932 13.2319i −0.232141 0.714458i
\(344\) −1.12655 1.25116i −0.0607394 0.0674579i
\(345\) −8.85070 0.00906924i −0.476506 0.000488271i
\(346\) 7.93835 + 13.7496i 0.426768 + 0.739185i
\(347\) −1.02223 + 1.77056i −0.0548764 + 0.0950487i −0.892159 0.451722i \(-0.850810\pi\)
0.837282 + 0.546771i \(0.184143\pi\)
\(348\) 3.28576 + 1.90153i 0.176135 + 0.101932i
\(349\) −0.0904382 0.0657072i −0.00484104 0.00351722i 0.585362 0.810772i \(-0.300952\pi\)
−0.590203 + 0.807255i \(0.700952\pi\)
\(350\) 1.07907 + 0.113415i 0.0576789 + 0.00606230i
\(351\) −12.7852 22.3026i −0.682422 1.19043i
\(352\) 1.14070 2.56206i 0.0607997 0.136558i
\(353\) 22.5622 + 4.79575i 1.20087 + 0.255252i 0.764564 0.644548i \(-0.222954\pi\)
0.436302 + 0.899800i \(0.356288\pi\)
\(354\) 7.95597 17.8202i 0.422855 0.947135i
\(355\) −9.03580 + 4.02300i −0.479571 + 0.213519i
\(356\) 2.09850 6.45853i 0.111220 0.342301i
\(357\) −1.91983 2.64812i −0.101608 0.140153i
\(358\) −10.6660 23.9562i −0.563716 1.26613i
\(359\) −3.33381 15.6843i −0.175952 0.827787i −0.974240 0.225512i \(-0.927594\pi\)
0.798289 0.602275i \(-0.205739\pi\)
\(360\) −0.307470 2.98420i −0.0162051 0.157281i
\(361\) −13.8910 6.18468i −0.731106 0.325510i
\(362\) −6.32428 + 7.02383i −0.332397 + 0.369164i
\(363\) 4.03106 + 3.63707i 0.211576 + 0.190897i
\(364\) 3.15522 4.34279i 0.165379 0.227624i
\(365\) 1.40968 + 13.4122i 0.0737860 + 0.702027i
\(366\) 1.52759 + 3.44050i 0.0798483 + 0.179838i
\(367\) 7.58642 4.38002i 0.396008 0.228635i −0.288752 0.957404i \(-0.593240\pi\)
0.684760 + 0.728769i \(0.259907\pi\)
\(368\) −4.13404 + 3.00356i −0.215502 + 0.156571i
\(369\) −0.934148 0.541886i −0.0486298 0.0282095i
\(370\) 2.69364 0.875218i 0.140036 0.0455004i
\(371\) −5.77790 −0.299973
\(372\) 5.26148 + 8.08188i 0.272795 + 0.419026i
\(373\) 14.7122 0.761766 0.380883 0.924623i \(-0.375620\pi\)
0.380883 + 0.924623i \(0.375620\pi\)
\(374\) −4.64221 + 1.50835i −0.240043 + 0.0779948i
\(375\) −0.179283 1.72275i −0.00925816 0.0889623i
\(376\) −3.55914 + 2.58586i −0.183549 + 0.133356i
\(377\) 9.39090 5.42184i 0.483656 0.279239i
\(378\) −3.75960 4.20136i −0.193373 0.216095i
\(379\) 0.414328 + 3.94207i 0.0212826 + 0.202490i 0.999996 0.00274017i \(-0.000872223\pi\)
−0.978714 + 0.205231i \(0.934206\pi\)
\(380\) −1.14496 + 1.57590i −0.0587351 + 0.0808419i
\(381\) −3.87774 + 4.29780i −0.198663 + 0.220183i
\(382\) 4.35343 4.83498i 0.222741 0.247379i
\(383\) −24.8097 11.0460i −1.26771 0.564423i −0.340955 0.940080i \(-0.610750\pi\)
−0.926759 + 0.375657i \(0.877417\pi\)
\(384\) −1.15765 1.28835i −0.0590760 0.0657459i
\(385\) −0.632667 2.97646i −0.0322437 0.151695i
\(386\) 4.49083 + 10.0866i 0.228577 + 0.513393i
\(387\) −0.0103510 + 5.05079i −0.000526171 + 0.256746i
\(388\) −2.18155 + 6.71413i −0.110752 + 0.340858i
\(389\) −8.00756 + 3.56520i −0.405999 + 0.180763i −0.599567 0.800324i \(-0.704661\pi\)
0.193568 + 0.981087i \(0.437994\pi\)
\(390\) −7.82470 3.49339i −0.396219 0.176895i
\(391\) 8.69923 + 1.84908i 0.439939 + 0.0935119i
\(392\) −2.36832 + 5.31934i −0.119618 + 0.268667i
\(393\) −14.8592 + 3.14250i −0.749546 + 0.158518i
\(394\) 21.3435 + 2.24329i 1.07527 + 0.113015i
\(395\) 12.6203 + 9.16920i 0.634997 + 0.461353i
\(396\) −7.69318 + 3.40635i −0.386597 + 0.171176i
\(397\) −14.7542 + 25.5550i −0.740490 + 1.28257i 0.211782 + 0.977317i \(0.432073\pi\)
−0.952272 + 0.305250i \(0.901260\pi\)
\(398\) 1.73968 + 3.01321i 0.0872021 + 0.151038i
\(399\) −0.00375112 + 3.66073i −0.000187791 + 0.183266i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 0.313174 + 0.963850i 0.0156392 + 0.0481324i 0.958572 0.284852i \(-0.0919444\pi\)
−0.942932 + 0.332984i \(0.891944\pi\)
\(402\) 2.71040 + 1.97346i 0.135182 + 0.0984275i
\(403\) 27.5049 1.50102i 1.37012 0.0747711i
\(404\) 3.78201i 0.188162i
\(405\) −5.31987 + 7.25941i −0.264346 + 0.360723i
\(406\) 1.76731 1.59129i 0.0877099 0.0789744i
\(407\) −4.66887 6.42615i −0.231427 0.318532i
\(408\) −0.318176 + 2.99769i −0.0157521 + 0.148408i
\(409\) 4.27001 + 2.46529i 0.211139 + 0.121901i 0.601840 0.798616i \(-0.294434\pi\)
−0.390702 + 0.920517i \(0.627768\pi\)
\(410\) −0.358009 + 0.0376282i −0.0176808 + 0.00185833i
\(411\) 11.0208 3.56838i 0.543614 0.176015i
\(412\) 1.26900 12.0737i 0.0625190 0.594828i
\(413\) −9.08513 8.18029i −0.447050 0.402526i
\(414\) 15.2426 + 1.63365i 0.749132 + 0.0802895i
\(415\) −2.78405 + 13.0979i −0.136664 + 0.642951i
\(416\) −4.83927 + 1.02862i −0.237265 + 0.0504321i
\(417\) 21.9437 + 4.68778i 1.07459 + 0.229561i
\(418\) 5.19561 + 1.68816i 0.254126 + 0.0825704i
\(419\) 23.6581 + 7.68698i 1.15577 + 0.375533i 0.823315 0.567585i \(-0.192122\pi\)
0.332458 + 0.943118i \(0.392122\pi\)
\(420\) −1.83784 0.392613i −0.0896772 0.0191575i
\(421\) 14.4470 3.07081i 0.704104 0.149662i 0.158074 0.987427i \(-0.449472\pi\)
0.546030 + 0.837765i \(0.316138\pi\)
\(422\) 2.45614 11.5552i 0.119563 0.562499i
\(423\) 13.1229 + 1.40646i 0.638055 + 0.0683846i
\(424\) 3.95737 + 3.56323i 0.192187 + 0.173046i
\(425\) −0.181926 + 1.73091i −0.00882469 + 0.0839613i
\(426\) 16.2985 5.27725i 0.789665 0.255683i
\(427\) 2.34522 0.246493i 0.113493 0.0119286i
\(428\) 1.10421 + 0.637517i 0.0533741 + 0.0308156i
\(429\) −2.53655 + 23.8981i −0.122466 + 1.15381i
\(430\) 0.989595 + 1.36206i 0.0477225 + 0.0656844i
\(431\) −13.4771 + 12.1349i −0.649171 + 0.584517i −0.926517 0.376254i \(-0.877212\pi\)
0.277345 + 0.960770i \(0.410545\pi\)
\(432\) −0.0159733 + 5.19613i −0.000768517 + 0.249999i
\(433\) 8.16389i 0.392331i −0.980571 0.196166i \(-0.937151\pi\)
0.980571 0.196166i \(-0.0628490\pi\)
\(434\) 5.83188 1.57615i 0.279939 0.0756576i
\(435\) −3.06900 2.23456i −0.147147 0.107139i
\(436\) −3.02851 9.32081i −0.145039 0.446386i
\(437\) −6.66037 7.39709i −0.318609 0.353851i
\(438\) 0.0239353 23.3586i 0.00114367 1.11612i
\(439\) −2.29185 3.96959i −0.109384 0.189458i 0.806137 0.591729i \(-0.201554\pi\)
−0.915521 + 0.402271i \(0.868221\pi\)
\(440\) −1.40226 + 2.42879i −0.0668503 + 0.115788i
\(441\) 15.9725 7.07224i 0.760597 0.336774i
\(442\) 6.96614 + 5.06119i 0.331345 + 0.240736i
\(443\) 4.47518 + 0.470360i 0.212622 + 0.0223475i 0.210241 0.977650i \(-0.432575\pi\)
0.00238159 + 0.999997i \(0.499242\pi\)
\(444\) −4.79947 + 1.01502i −0.227773 + 0.0481707i
\(445\) −2.76211 + 6.20379i −0.130936 + 0.294088i
\(446\) 22.2032 + 4.71943i 1.05135 + 0.223471i
\(447\) −25.4576 11.3657i −1.20410 0.537580i
\(448\) −0.991212 + 0.441316i −0.0468304 + 0.0208502i
\(449\) −0.686178 + 2.11184i −0.0323827 + 0.0996638i −0.965941 0.258761i \(-0.916686\pi\)
0.933559 + 0.358424i \(0.116686\pi\)
\(450\) −0.00614814 + 2.99999i −0.000289826 + 0.141421i
\(451\) 0.410631 + 0.922293i 0.0193359 + 0.0434291i
\(452\) 2.67057 + 12.5640i 0.125613 + 0.590963i
\(453\) 10.5732 + 11.7670i 0.496773 + 0.552861i
\(454\) 13.7236 + 6.11016i 0.644083 + 0.286764i
\(455\) −3.59189 + 3.98919i −0.168390 + 0.187016i
\(456\) 2.26014 2.50498i 0.105841 0.117306i
\(457\) −9.91273 + 13.6437i −0.463698 + 0.638225i −0.975270 0.221015i \(-0.929063\pi\)
0.511573 + 0.859240i \(0.329063\pi\)
\(458\) −2.24805 21.3888i −0.105045 0.999434i
\(459\) 6.73927 6.03066i 0.314562 0.281487i
\(460\) 4.42535 2.55498i 0.206333 0.119126i
\(461\) −6.56002 + 4.76613i −0.305531 + 0.221981i −0.729976 0.683472i \(-0.760469\pi\)
0.424446 + 0.905453i \(0.360469\pi\)
\(462\) 0.545552 + 5.24225i 0.0253814 + 0.243892i
\(463\) 35.9129 11.6688i 1.66902 0.542296i 0.686284 0.727334i \(-0.259241\pi\)
0.982731 + 0.185038i \(0.0592407\pi\)
\(464\) −2.19180 −0.101752
\(465\) −4.38787 8.58758i −0.203483 0.398240i
\(466\) −16.5364 −0.766032
\(467\) 15.8957 5.16483i 0.735566 0.239000i 0.0828070 0.996566i \(-0.473612\pi\)
0.652759 + 0.757566i \(0.273612\pi\)
\(468\) 12.8384 + 7.44739i 0.593457 + 0.344256i
\(469\) 1.69915 1.23451i 0.0784596 0.0570042i
\(470\) 3.80994 2.19967i 0.175739 0.101463i
\(471\) −11.9211 26.8493i −0.549296 1.23715i
\(472\) 1.17776 + 11.2056i 0.0542107 + 0.515780i
\(473\) 2.77535 3.81993i 0.127611 0.175641i
\(474\) −20.0607 18.1000i −0.921418 0.831360i
\(475\) 1.30341 1.44758i 0.0598046 0.0664197i
\(476\) 1.72515 + 0.768085i 0.0790720 + 0.0352051i
\(477\) −1.63733 15.8914i −0.0749682 0.727616i
\(478\) −0.341784 1.60797i −0.0156329 0.0735468i
\(479\) −7.56381 16.9886i −0.345599 0.776229i −0.999802 0.0199093i \(-0.993662\pi\)
0.654203 0.756319i \(-0.273004\pi\)
\(480\) 1.01664 + 1.40230i 0.0464029 + 0.0640060i
\(481\) −4.33003 + 13.3265i −0.197432 + 0.607635i
\(482\) −5.35263 + 2.38315i −0.243806 + 0.108549i
\(483\) 3.91495 8.76892i 0.178136 0.399000i
\(484\) −3.06613 0.651726i −0.139370 0.0296239i
\(485\) 2.87142 6.44931i 0.130384 0.292848i
\(486\) 10.4899 11.5309i 0.475833 0.523052i
\(487\) 1.00228 + 0.105344i 0.0454176 + 0.00477358i 0.127210 0.991876i \(-0.459398\pi\)
−0.0817924 + 0.996649i \(0.526064\pi\)
\(488\) −1.75829 1.27747i −0.0795941 0.0578285i
\(489\) 21.3244 + 12.3408i 0.964322 + 0.558070i
\(490\) 2.91137 5.04264i 0.131522 0.227803i
\(491\) 13.0997 + 22.6894i 0.591182 + 1.02396i 0.994074 + 0.108710i \(0.0346718\pi\)
−0.402892 + 0.915248i \(0.631995\pi\)
\(492\) 0.623504 0.000638900i 0.0281097 2.88038e-5i
\(493\) 2.55254 + 2.83488i 0.114960 + 0.127677i
\(494\) −2.97802 9.16541i −0.133988 0.412371i
\(495\) 8.00710 2.58353i 0.359892 0.116121i
\(496\) −4.96636 2.51700i −0.222996 0.113016i
\(497\) 10.7318i 0.481388i
\(498\) 7.18966 22.0506i 0.322176 0.988110i
\(499\) −2.63585 + 2.37333i −0.117997 + 0.106245i −0.726017 0.687677i \(-0.758631\pi\)
0.608020 + 0.793922i \(0.291964\pi\)
\(500\) 0.587785 + 0.809017i 0.0262866 + 0.0361803i
\(501\) −17.2284 1.82863i −0.769708 0.0816970i
\(502\) −5.52298 3.18869i −0.246503 0.142318i
\(503\) 3.78395 0.397709i 0.168718 0.0177330i −0.0197927 0.999804i \(-0.506301\pi\)
0.188511 + 0.982071i \(0.439634\pi\)
\(504\) 3.09367 + 1.01221i 0.137803 + 0.0450873i
\(505\) 0.395327 3.76129i 0.0175918 0.167375i
\(506\) −10.6500 9.58931i −0.473451 0.426297i
\(507\) 17.2250 9.92133i 0.764989 0.440622i
\(508\) 0.694852 3.26902i 0.0308291 0.145039i
\(509\) 2.63097 0.559230i 0.116616 0.0247874i −0.149234 0.988802i \(-0.547681\pi\)
0.265850 + 0.964014i \(0.414347\pi\)
\(510\) 0.629778 2.94801i 0.0278870 0.130540i
\(511\) −13.9165 4.52173i −0.615628 0.200030i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −10.0694 + 1.02705i −0.444576 + 0.0453455i
\(514\) 21.0034 4.46442i 0.926422 0.196917i
\(515\) −2.52409 + 11.8749i −0.111225 + 0.523271i
\(516\) −1.45545 2.52689i −0.0640727 0.111240i
\(517\) −9.16896 8.25577i −0.403250 0.363088i
\(518\) −0.321222 + 3.05622i −0.0141137 + 0.134283i
\(519\) 8.47094 + 26.1620i 0.371833 + 1.14839i
\(520\) 4.92028 0.517142i 0.215768 0.0226782i
\(521\) 6.74136 + 3.89213i 0.295345 + 0.170517i 0.640350 0.768084i \(-0.278789\pi\)
−0.345005 + 0.938601i \(0.612123\pi\)
\(522\) 4.87746 + 4.40981i 0.213480 + 0.193012i
\(523\) −18.3331 25.2333i −0.801650 1.10338i −0.992559 0.121768i \(-0.961143\pi\)
0.190909 0.981608i \(-0.438857\pi\)
\(524\) 6.51642 5.86741i 0.284671 0.256319i
\(525\) 1.78673 + 0.582568i 0.0779792 + 0.0254254i
\(526\) 21.7570i 0.948652i
\(527\) 2.52825 + 9.35474i 0.110132 + 0.407499i
\(528\) 2.85924 3.92694i 0.124432 0.170898i
\(529\) 0.961551 + 2.95935i 0.0418066 + 0.128667i
\(530\) −3.56323 3.95737i −0.154777 0.171897i
\(531\) 19.9243 27.3056i 0.864642 1.18496i
\(532\) −1.05676 1.83037i −0.0458164 0.0793564i
\(533\) 0.890480 1.54236i 0.0385710 0.0668069i
\(534\) 5.89153 10.1803i 0.254951 0.440545i
\(535\) −1.03152 0.749446i −0.0445967 0.0324014i
\(536\) −1.92510 0.202336i −0.0831515 0.00873958i
\(537\) −9.39786 44.4373i −0.405548 1.91761i
\(538\) −9.14394 + 20.5376i −0.394223 + 0.885440i
\(539\) −15.9732 3.39520i −0.688013 0.146242i
\(540\) 0.559029 5.16599i 0.0240568 0.222309i
\(541\) −0.457481 + 0.203684i −0.0196686 + 0.00875704i −0.416547 0.909114i \(-0.636760\pi\)
0.396879 + 0.917871i \(0.370093\pi\)
\(542\) 8.19664 25.2267i 0.352076 1.08358i
\(543\) −13.2538 + 9.60874i −0.568777 + 0.412351i
\(544\) −0.707901 1.58997i −0.0303510 0.0681695i
\(545\) 2.03763 + 9.58631i 0.0872826 + 0.410632i
\(546\) 6.91586 6.21425i 0.295971 0.265945i
\(547\) −18.9537 8.43872i −0.810400 0.360814i −0.0406620 0.999173i \(-0.512947\pi\)
−0.769738 + 0.638359i \(0.779613\pi\)
\(548\) −4.47519 + 4.97020i −0.191171 + 0.212316i
\(549\) 1.34253 + 6.38039i 0.0572979 + 0.272308i
\(550\) 1.64846 2.26891i 0.0702905 0.0967466i
\(551\) −0.446279 4.24606i −0.0190121 0.180888i
\(552\) −8.08920 + 3.59162i −0.344299 + 0.152869i
\(553\) −14.6582 + 8.46290i −0.623329 + 0.359879i
\(554\) −14.3914 + 10.4560i −0.611433 + 0.444232i
\(555\) 4.87927 0.507778i 0.207114 0.0215540i
\(556\) −12.3210 + 4.00333i −0.522526 + 0.169779i
\(557\) 4.13618 0.175256 0.0876278 0.996153i \(-0.472071\pi\)
0.0876278 + 0.996153i \(0.472071\pi\)
\(558\) 5.98763 + 15.5932i 0.253477 + 0.660113i
\(559\) −8.32940 −0.352296
\(560\) 1.03191 0.335289i 0.0436063 0.0141685i
\(561\) −8.40892 + 0.875103i −0.355025 + 0.0369469i
\(562\) 0.463880 0.337029i 0.0195676 0.0142167i
\(563\) −17.7173 + 10.2291i −0.746695 + 0.431104i −0.824498 0.565864i \(-0.808543\pi\)
0.0778036 + 0.996969i \(0.475209\pi\)
\(564\) −6.96427 + 3.09215i −0.293249 + 0.130203i
\(565\) −1.34264 12.7744i −0.0564853 0.537422i
\(566\) −16.4149 + 22.5931i −0.689968 + 0.949660i
\(567\) −4.84787 8.47681i −0.203592 0.355993i
\(568\) −6.61831 + 7.35038i −0.277698 + 0.308415i
\(569\) 1.72660 + 0.768730i 0.0723827 + 0.0322268i 0.442609 0.896715i \(-0.354053\pi\)
−0.370226 + 0.928942i \(0.620720\pi\)
\(570\) −2.50960 + 2.25500i −0.105116 + 0.0944517i
\(571\) 7.23443 + 34.0353i 0.302752 + 1.42433i 0.821891 + 0.569645i \(0.192919\pi\)
−0.519139 + 0.854690i \(0.673747\pi\)
\(572\) −5.64349 12.6755i −0.235966 0.529989i
\(573\) 9.12351 6.61435i 0.381140 0.276318i
\(574\) 0.120697 0.371468i 0.00503781 0.0155048i
\(575\) −4.66818 + 2.07841i −0.194676 + 0.0866755i
\(576\) −1.49467 2.60114i −0.0622780 0.108381i
\(577\) 35.3759 + 7.51938i 1.47272 + 0.313036i 0.873214 0.487336i \(-0.162031\pi\)
0.599503 + 0.800372i \(0.295365\pi\)
\(578\) 5.68246 12.7630i 0.236359 0.530872i
\(579\) 3.95689 + 18.7100i 0.164443 + 0.777560i
\(580\) 2.17980 + 0.229106i 0.0905111 + 0.00951310i
\(581\) −11.7542 8.53991i −0.487645 0.354295i
\(582\) −6.12469 + 10.5832i −0.253876 + 0.438688i
\(583\) −7.46728 + 12.9337i −0.309263 + 0.535660i
\(584\) 6.74304 + 11.6793i 0.279029 + 0.483292i
\(585\) −11.9896 8.74858i −0.495710 0.361709i
\(586\) −9.94668 11.0469i −0.410893 0.456343i
\(587\) −4.48366 13.7993i −0.185060 0.569557i 0.814889 0.579617i \(-0.196798\pi\)
−0.999949 + 0.0100599i \(0.996798\pi\)
\(588\) −5.93634 + 8.15308i −0.244810 + 0.336227i
\(589\) 3.86483 10.1336i 0.159247 0.417546i
\(590\) 11.2673i 0.463869i
\(591\) 35.3406 + 11.5229i 1.45372 + 0.473989i
\(592\) 2.10478 1.89515i 0.0865060 0.0778904i
\(593\) −20.9768 28.8721i −0.861415 1.18564i −0.981230 0.192840i \(-0.938230\pi\)
0.119815 0.992796i \(-0.461770\pi\)
\(594\) −14.2635 + 2.98601i −0.585240 + 0.122518i
\(595\) −1.63541 0.944204i −0.0670453 0.0387086i
\(596\) 16.0081 1.68252i 0.655717 0.0689186i
\(597\) 1.85639 + 5.73337i 0.0759770 + 0.234651i
\(598\) −2.64257 + 25.1424i −0.108063 + 1.02815i
\(599\) −25.2394 22.7256i −1.03125 0.928545i −0.0337688 0.999430i \(-0.510751\pi\)
−0.997484 + 0.0708851i \(0.977418\pi\)
\(600\) −0.864488 1.50089i −0.0352926 0.0612734i
\(601\) 5.94082 27.9493i 0.242331 1.14008i −0.673711 0.738995i \(-0.735301\pi\)
0.916042 0.401083i \(-0.131366\pi\)
\(602\) −1.78682 + 0.379799i −0.0728252 + 0.0154795i
\(603\) 3.87686 + 4.32347i 0.157878 + 0.176065i
\(604\) −8.68634 2.82236i −0.353442 0.114840i
\(605\) 2.98121 + 0.968654i 0.121203 + 0.0393814i
\(606\) −1.36852 + 6.40608i −0.0555922 + 0.260229i
\(607\) 13.1165 2.78800i 0.532383 0.113161i 0.0661266 0.997811i \(-0.478936\pi\)
0.466256 + 0.884650i \(0.345603\pi\)
\(608\) −0.404995 + 1.90535i −0.0164247 + 0.0772722i
\(609\) 3.56933 2.05588i 0.144636 0.0833084i
\(610\) 1.61513 + 1.45427i 0.0653946 + 0.0588815i
\(611\) −2.27508 + 21.6459i −0.0920399 + 0.875701i
\(612\) −1.62365 + 4.96246i −0.0656322 + 0.200595i
\(613\) −26.2377 + 2.75769i −1.05973 + 0.111382i −0.618322 0.785925i \(-0.712187\pi\)
−0.441407 + 0.897307i \(0.645521\pi\)
\(614\) −6.91027 3.98964i −0.278876 0.161009i
\(615\) −0.620022 0.0658093i −0.0250017 0.00265369i
\(616\) −1.78861 2.46181i −0.0720650 0.0991890i
\(617\) 25.4085 22.8780i 1.02291 0.921032i 0.0260056 0.999662i \(-0.491721\pi\)
0.996904 + 0.0786300i \(0.0250546\pi\)
\(618\) 6.51832 19.9916i 0.262205 0.804181i
\(619\) 14.6854i 0.590258i 0.955457 + 0.295129i \(0.0953626\pi\)
−0.955457 + 0.295129i \(0.904637\pi\)
\(620\) 4.67606 + 3.02233i 0.187795 + 0.121380i
\(621\) 25.2272 + 8.28264i 1.01233 + 0.332371i
\(622\) 0.503959 + 1.55103i 0.0202069 + 0.0621905i
\(623\) −4.93032 5.47567i −0.197529 0.219378i
\(624\) −8.56910 0.00878069i −0.343039 0.000351509i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −5.97410 + 10.3474i −0.238773 + 0.413567i
\(627\) 8.18963 + 4.73948i 0.327062 + 0.189277i
\(628\) 13.7215 + 9.96926i 0.547548 + 0.397817i
\(629\) −4.90238 0.515261i −0.195471 0.0205448i
\(630\) −2.97092 1.33004i −0.118364 0.0529901i
\(631\) −19.0814 + 42.8575i −0.759618 + 1.70613i −0.0529380 + 0.998598i \(0.516859\pi\)
−0.706680 + 0.707533i \(0.749808\pi\)
\(632\) 15.2587 + 3.24333i 0.606958 + 0.129013i
\(633\) 8.34153 18.6838i 0.331546 0.742615i
\(634\) −14.4998 + 6.45574i −0.575862 + 0.256390i
\(635\) −1.03275 + 3.17848i −0.0409835 + 0.126134i
\(636\) 5.41376 + 7.46749i 0.214670 + 0.296105i
\(637\) 11.7170 + 26.3168i 0.464244 + 1.04271i
\(638\) −1.27803 6.01265i −0.0505976 0.238043i
\(639\) 29.5165 3.04116i 1.16765 0.120307i
\(640\) −0.913545 0.406737i −0.0361111 0.0160777i
\(641\) −19.4832 + 21.6383i −0.769540 + 0.854661i −0.992761 0.120107i \(-0.961676\pi\)
0.223221 + 0.974768i \(0.428343\pi\)
\(642\) 1.63966 + 1.47940i 0.0647124 + 0.0583875i
\(643\) −20.0333 + 27.5735i −0.790037 + 1.08739i 0.204066 + 0.978957i \(0.434584\pi\)
−0.994103 + 0.108436i \(0.965416\pi\)
\(644\) 0.579546 + 5.51402i 0.0228373 + 0.217283i
\(645\) 1.18335 + 2.66519i 0.0465942 + 0.104942i
\(646\) 2.93603 1.69512i 0.115517 0.0666935i
\(647\) 16.4963 11.9853i 0.648537 0.471189i −0.214236 0.976782i \(-0.568726\pi\)
0.862772 + 0.505593i \(0.168726\pi\)
\(648\) −1.90727 + 8.79558i −0.0749247 + 0.345523i
\(649\) −30.0530 + 9.76480i −1.17968 + 0.383302i
\(650\) −4.94738 −0.194052
\(651\) 10.4486 0.559469i 0.409511 0.0219273i
\(652\) −14.2247 −0.557082
\(653\) −11.2157 + 3.64421i −0.438906 + 0.142609i −0.520131 0.854087i \(-0.674117\pi\)
0.0812250 + 0.996696i \(0.474117\pi\)
\(654\) −1.75706 16.8837i −0.0687066 0.660206i
\(655\) −7.09403 + 5.15411i −0.277187 + 0.201388i
\(656\) −0.311752 + 0.179990i −0.0121719 + 0.00702744i
\(657\) 8.49283 39.5568i 0.331337 1.54326i
\(658\) 0.498951 + 4.74721i 0.0194512 + 0.185065i
\(659\) 11.4444 15.7518i 0.445810 0.613604i −0.525681 0.850682i \(-0.676190\pi\)
0.971491 + 0.237077i \(0.0761895\pi\)
\(660\) −3.25405 + 3.60655i −0.126664 + 0.140385i
\(661\) 23.5186 26.1201i 0.914769 1.01595i −0.0850395 0.996378i \(-0.527102\pi\)
0.999808 0.0195761i \(-0.00623167\pi\)
\(662\) 6.07484 + 2.70469i 0.236105 + 0.105121i
\(663\) 9.96807 + 11.0935i 0.387128 + 0.430836i
\(664\) 2.78405 + 13.0979i 0.108042 + 0.508298i
\(665\) 0.859648 + 1.93080i 0.0333357 + 0.0748732i
\(666\) −8.49677 0.0174132i −0.329243 0.000674746i
\(667\) −3.46100 + 10.6519i −0.134010 + 0.412441i
\(668\) 9.13791 4.06846i 0.353556 0.157413i
\(669\) 35.9007 + 16.0281i 1.38800 + 0.619683i
\(670\) 1.89340 + 0.402455i 0.0731485 + 0.0155482i
\(671\) 2.47917 5.56830i 0.0957073 0.214962i
\(672\) −1.83864 + 0.388846i −0.0709270 + 0.0150000i
\(673\) 32.8783 + 3.45564i 1.26736 + 0.133205i 0.714244 0.699897i \(-0.246771\pi\)
0.553119 + 0.833102i \(0.313437\pi\)
\(674\) −4.56717 3.31825i −0.175921 0.127814i
\(675\) −1.09596 + 5.07926i −0.0421835 + 0.195501i
\(676\) −5.73827 + 9.93898i −0.220703 + 0.382268i
\(677\) −24.1819 41.8844i −0.929388 1.60975i −0.784348 0.620321i \(-0.787002\pi\)
−0.145040 0.989426i \(-0.546331\pi\)
\(678\) −0.0227971 + 22.2477i −0.000875516 + 0.854419i
\(679\) 5.12544 + 5.69237i 0.196696 + 0.218453i
\(680\) 0.537826 + 1.65526i 0.0206247 + 0.0634762i
\(681\) 21.0346 + 15.3155i 0.806047 + 0.586890i
\(682\) 4.00887 15.0916i 0.153508 0.577886i
\(683\) 33.7863i 1.29280i 0.763000 + 0.646399i \(0.223726\pi\)
−0.763000 + 0.646399i \(0.776274\pi\)
\(684\) 4.73472 3.42518i 0.181037 0.130965i
\(685\) 4.97020 4.47519i 0.189902 0.170988i
\(686\) 8.17779 + 11.2558i 0.312230 + 0.429747i
\(687\) 3.93170 37.0425i 0.150004 1.41326i
\(688\) 1.45804 + 0.841800i 0.0555872 + 0.0320933i
\(689\) 26.2013 2.75387i 0.998189 0.104914i
\(690\) 8.42032 2.72639i 0.320556 0.103792i
\(691\) 3.59410 34.1955i 0.136726 1.30086i −0.683977 0.729504i \(-0.739751\pi\)
0.820703 0.571356i \(-0.193582\pi\)
\(692\) −11.7987 10.6236i −0.448519 0.403848i
\(693\) −0.972832 + 9.07689i −0.0369548 + 0.344803i
\(694\) 0.425069 1.99979i 0.0161354 0.0759110i
\(695\) 12.6720 2.69351i 0.480675 0.102171i
\(696\) −3.71255 0.793103i −0.140724 0.0300625i
\(697\) 0.595861 + 0.193607i 0.0225698 + 0.00733338i
\(698\) 0.106316 + 0.0345443i 0.00402414 + 0.00130752i
\(699\) −28.0098 5.98367i −1.05943 0.226323i
\(700\) −1.06131 + 0.225588i −0.0401136 + 0.00852642i
\(701\) 2.72702 12.8296i 0.102998 0.484568i −0.896167 0.443717i \(-0.853660\pi\)
0.999165 0.0408516i \(-0.0130071\pi\)
\(702\) 19.0513 + 17.2602i 0.719045 + 0.651445i
\(703\) 4.09994 + 3.69160i 0.154632 + 0.139231i
\(704\) −0.293153 + 2.78916i −0.0110486 + 0.105121i
\(705\) 7.24934 2.34724i 0.273026 0.0884023i
\(706\) −22.9399 + 2.41108i −0.863355 + 0.0907423i
\(707\) 3.55377 + 2.05177i 0.133653 + 0.0771648i
\(708\) −2.05982 + 19.4066i −0.0774129 + 0.729344i
\(709\) −19.1273 26.3264i −0.718340 0.988710i −0.999577 0.0290721i \(-0.990745\pi\)
0.281237 0.959638i \(-0.409255\pi\)
\(710\) 7.35038 6.61831i 0.275855 0.248381i
\(711\) −27.4300 37.9173i −1.02870 1.42201i
\(712\) 6.79090i 0.254500i
\(713\) −20.0744 + 20.1613i −0.751794 + 0.755047i
\(714\) 2.64418 + 1.92525i 0.0989558 + 0.0720507i
\(715\) 4.28763 + 13.1960i 0.160348 + 0.493501i
\(716\) 17.5469 + 19.4878i 0.655757 + 0.728292i
\(717\) 0.00291761 2.84730i 0.000108960 0.106334i
\(718\) 8.01736 + 13.8865i 0.299205 + 0.518239i
\(719\) −7.06188 + 12.2315i −0.263364 + 0.456159i −0.967134 0.254269i \(-0.918165\pi\)
0.703770 + 0.710428i \(0.251499\pi\)
\(720\) 1.21459 + 2.74313i 0.0452651 + 0.102230i
\(721\) −10.6566 7.74250i −0.396874 0.288346i
\(722\) 15.1223 + 1.58942i 0.562794 + 0.0591521i
\(723\) −9.92880 + 2.09980i −0.369256 + 0.0780924i
\(724\) 3.84427 8.63437i 0.142871 0.320894i
\(725\) −2.14391 0.455702i −0.0796227 0.0169243i
\(726\) −4.95768 2.21339i −0.183997 0.0821467i
\(727\) −26.7278 + 11.9000i −0.991279 + 0.441346i −0.837309 0.546730i \(-0.815872\pi\)
−0.153970 + 0.988076i \(0.549206\pi\)
\(728\) −1.65880 + 5.10526i −0.0614792 + 0.189214i
\(729\) 21.9406 15.7356i 0.812615 0.582800i
\(730\) −5.48528 12.3201i −0.203019 0.455989i
\(731\) −0.609224 2.86617i −0.0225330 0.106009i
\(732\) −2.51600 2.80006i −0.0929939 0.103493i
\(733\) −6.10586 2.71850i −0.225525 0.100410i 0.290864 0.956765i \(-0.406057\pi\)
−0.516389 + 0.856354i \(0.672724\pi\)
\(734\) −5.86161 + 6.50998i −0.216356 + 0.240288i
\(735\) 6.75604 7.48790i 0.249200 0.276195i
\(736\) 3.00356 4.13404i 0.110713 0.152383i
\(737\) −0.567456 5.39898i −0.0209025 0.198874i
\(738\) 1.05588 + 0.226697i 0.0388675 + 0.00834483i
\(739\) 20.4177 11.7881i 0.751076 0.433634i −0.0750067 0.997183i \(-0.523898\pi\)
0.826082 + 0.563549i \(0.190564\pi\)
\(740\) −2.29135 + 1.66476i −0.0842317 + 0.0611979i
\(741\) −1.72777 16.6023i −0.0634712 0.609899i
\(742\) 5.49511 1.78547i 0.201732 0.0655466i
\(743\) −14.7228 −0.540127 −0.270064 0.962842i \(-0.587045\pi\)
−0.270064 + 0.962842i \(0.587045\pi\)
\(744\) −7.50140 6.06044i −0.275015 0.222187i
\(745\) −16.0963 −0.589721
\(746\) −13.9921 + 4.54630i −0.512287 + 0.166452i
\(747\) 20.1571 34.7484i 0.737508 1.27138i
\(748\) 3.94890 2.86905i 0.144386 0.104903i
\(749\) 1.19809 0.691717i 0.0437772 0.0252748i
\(750\) 0.702867 + 1.58303i 0.0256651 + 0.0578040i
\(751\) 4.63143 + 44.0651i 0.169003 + 1.60796i 0.669901 + 0.742451i \(0.266337\pi\)
−0.500897 + 0.865507i \(0.666997\pi\)
\(752\) 2.58586 3.55914i 0.0942968 0.129788i
\(753\) −8.20117 7.39960i −0.298867 0.269656i
\(754\) −7.25584 + 8.05843i −0.264242 + 0.293471i
\(755\) 8.34374 + 3.71487i 0.303660 + 0.135198i
\(756\) 4.87389 + 2.83395i 0.177262 + 0.103070i
\(757\) −8.60153 40.4670i −0.312628 1.47080i −0.801264 0.598311i \(-0.795839\pi\)
0.488636 0.872488i \(-0.337495\pi\)
\(758\) −1.61222 3.62110i −0.0585583 0.131524i
\(759\) −14.5694 20.0964i −0.528837 0.729453i
\(760\) 0.601940 1.85258i 0.0218346 0.0672001i
\(761\) −29.3063 + 13.0480i −1.06235 + 0.472990i −0.862092 0.506752i \(-0.830846\pi\)
−0.200262 + 0.979742i \(0.564179\pi\)
\(762\) 2.35986 5.28574i 0.0854886 0.191482i
\(763\) −10.4013 2.21087i −0.376553 0.0800388i
\(764\) −2.64627 + 5.94362i −0.0957387 + 0.215033i
\(765\) 2.13347 4.76555i 0.0771359 0.172299i
\(766\) 27.0088 + 2.83874i 0.975867 + 0.102568i
\(767\) 45.0977 + 32.7654i 1.62838 + 1.18309i
\(768\) 1.49911 + 0.867562i 0.0540945 + 0.0313054i
\(769\) −26.7784 + 46.3816i −0.965654 + 1.67256i −0.257807 + 0.966196i \(0.583000\pi\)
−0.707847 + 0.706366i \(0.750333\pi\)
\(770\) 1.52148 + 2.63528i 0.0548303 + 0.0949689i
\(771\) 37.1917 + 0.0381100i 1.33943 + 0.00137250i
\(772\) −7.38796 8.20516i −0.265899 0.295310i
\(773\) 6.87899 + 21.1714i 0.247420 + 0.761481i 0.995229 +