Properties

Label 648.2.bb.b.155.32
Level $648$
Weight $2$
Character 648.155
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 648 = 2^{3} \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 648.bb (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.17430605098\)
Analytic rank: \(0\)
Dimension: \(1872\)
Relative dimension: \(104\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 155.32
Character \(\chi\) \(=\) 648.155
Dual form 648.2.bb.b.347.32

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.847711 - 1.13198i) q^{2} +(-0.462016 - 1.66929i) q^{3} +(-0.562773 + 1.91919i) q^{4} +(0.539140 - 0.354598i) q^{5} +(-1.49796 + 1.93807i) q^{6} +(0.568211 + 0.536080i) q^{7} +(2.64956 - 0.989868i) q^{8} +(-2.57308 + 1.54248i) q^{9} +O(q^{10})\) \(q+(-0.847711 - 1.13198i) q^{2} +(-0.462016 - 1.66929i) q^{3} +(-0.562773 + 1.91919i) q^{4} +(0.539140 - 0.354598i) q^{5} +(-1.49796 + 1.93807i) q^{6} +(0.568211 + 0.536080i) q^{7} +(2.64956 - 0.989868i) q^{8} +(-2.57308 + 1.54248i) q^{9} +(-0.858434 - 0.309701i) q^{10} +(2.27674 + 4.53337i) q^{11} +(3.46370 + 0.0527369i) q^{12} +(2.07031 - 0.893043i) q^{13} +(0.125154 - 1.09765i) q^{14} +(-0.841019 - 0.736153i) q^{15} +(-3.36657 - 2.16013i) q^{16} +(3.54620 + 4.22620i) q^{17} +(3.92729 + 1.60511i) q^{18} +(-0.124773 - 0.104697i) q^{19} +(0.377127 + 1.23427i) q^{20} +(0.632352 - 1.19619i) q^{21} +(3.20168 - 6.42022i) q^{22} +(1.52742 + 1.61897i) q^{23} +(-2.87652 - 3.96556i) q^{24} +(-1.81547 + 4.20872i) q^{25} +(-2.76593 - 1.58651i) q^{26} +(3.76366 + 3.58258i) q^{27} +(-1.34861 + 0.788814i) q^{28} +(8.67805 - 1.01432i) q^{29} +(-0.120372 + 1.57606i) q^{30} +(-1.62986 - 6.87692i) q^{31} +(0.408645 + 5.64207i) q^{32} +(6.51563 - 5.89504i) q^{33} +(1.77783 - 7.59683i) q^{34} +(0.496438 + 0.0875354i) q^{35} +(-1.51225 - 5.80630i) q^{36} +(-3.35892 + 0.592269i) q^{37} +(-0.0127438 + 0.229994i) q^{38} +(-2.44727 - 3.04335i) q^{39} +(1.07748 - 1.47321i) q^{40} +(2.81315 + 2.09432i) q^{41} +(-1.89012 + 0.298211i) q^{42} +(-0.158674 + 2.72433i) q^{43} +(-9.98168 + 1.81824i) q^{44} +(-0.840291 + 1.74402i) q^{45} +(0.537836 - 3.10142i) q^{46} +(-10.9555 - 2.59650i) q^{47} +(-2.05049 + 6.61782i) q^{48} +(-0.371531 - 6.37894i) q^{49} +(6.30320 - 1.51270i) q^{50} +(5.41636 - 7.87222i) q^{51} +(0.548807 + 4.47589i) q^{52} +(4.44472 + 7.69848i) q^{53} +(0.864927 - 7.29739i) q^{54} +(2.83501 + 1.63679i) q^{55} +(2.03616 + 0.857920i) q^{56} +(-0.117123 + 0.256655i) q^{57} +(-8.50466 - 8.96355i) q^{58} +(4.04980 - 8.06382i) q^{59} +(1.88612 - 1.19979i) q^{60} +(14.6772 - 4.39406i) q^{61} +(-6.40290 + 7.67461i) q^{62} +(-2.28895 - 0.502923i) q^{63} +(6.04032 - 5.24543i) q^{64} +(0.799513 - 1.21560i) q^{65} +(-12.1965 - 2.37830i) q^{66} +(-9.65253 - 1.12822i) q^{67} +(-10.1066 + 4.42744i) q^{68} +(1.99684 - 3.29769i) q^{69} +(-0.321747 - 0.636164i) q^{70} +(-10.2745 - 3.73963i) q^{71} +(-5.29068 + 6.63390i) q^{72} +(-1.89260 + 0.688851i) q^{73} +(3.51784 + 3.30017i) q^{74} +(7.86437 + 1.08605i) q^{75} +(0.271153 - 0.180543i) q^{76} +(-1.13658 + 3.79643i) q^{77} +(-1.37045 + 5.35014i) q^{78} +(-0.407336 + 0.303251i) q^{79} +(-2.58103 + 0.0291654i) q^{80} +(4.24151 - 7.93786i) q^{81} +(-0.0140108 - 4.95982i) q^{82} +(0.385869 - 0.287269i) q^{83} +(1.93984 + 1.88679i) q^{84} +(3.41050 + 1.02104i) q^{85} +(3.21841 - 2.12983i) q^{86} +(-5.70259 - 14.0176i) q^{87} +(10.5198 + 9.75775i) q^{88} +(-3.27947 - 9.01027i) q^{89} +(2.68653 - 0.527231i) q^{90} +(1.65511 + 0.602412i) q^{91} +(-3.96669 + 2.02029i) q^{92} +(-10.7266 + 5.89796i) q^{93} +(6.34789 + 14.6025i) q^{94} +(-0.104396 - 0.0122021i) q^{95} +(9.22948 - 3.28888i) q^{96} +(8.36360 + 5.50082i) q^{97} +(-6.90591 + 5.82807i) q^{98} +(-12.8509 - 8.15290i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} + O(q^{10}) \) \( 1872q - 18q^{2} - 36q^{3} - 18q^{4} - 18q^{6} - 18q^{8} - 36q^{9} - 18q^{10} - 36q^{11} - 18q^{12} - 18q^{14} - 18q^{16} - 36q^{17} - 90q^{18} - 36q^{19} - 18q^{20} - 18q^{22} - 18q^{24} - 36q^{25} - 27q^{26} - 36q^{27} - 9q^{28} - 18q^{30} - 18q^{32} - 36q^{33} - 18q^{34} - 36q^{35} - 18q^{36} + 90q^{38} - 18q^{40} - 36q^{41} - 63q^{42} - 36q^{43} + 54q^{44} - 18q^{46} + 81q^{48} - 36q^{49} - 135q^{50} - 54q^{51} - 18q^{52} - 144q^{54} + 108q^{56} - 36q^{57} - 18q^{58} + 18q^{59} + 99q^{60} - 117q^{62} - 18q^{64} - 36q^{65} - 90q^{66} - 36q^{67} + 243q^{68} - 18q^{70} - 18q^{72} - 36q^{73} - 18q^{74} - 36q^{75} - 54q^{76} - 45q^{78} - 36q^{81} - 36q^{82} - 36q^{83} + 9q^{84} - 18q^{86} + 54q^{88} - 198q^{89} - 81q^{90} - 36q^{91} - 108q^{92} - 18q^{94} - 423q^{96} - 36q^{97} - 189q^{98} - 36q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{43}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.847711 1.13198i −0.599422 0.800433i
\(3\) −0.462016 1.66929i −0.266745 0.963767i
\(4\) −0.562773 + 1.91919i −0.281386 + 0.959595i
\(5\) 0.539140 0.354598i 0.241111 0.158581i −0.423203 0.906035i \(-0.639094\pi\)
0.664314 + 0.747454i \(0.268724\pi\)
\(6\) −1.49796 + 1.93807i −0.611538 + 0.791215i
\(7\) 0.568211 + 0.536080i 0.214764 + 0.202619i 0.786104 0.618094i \(-0.212095\pi\)
−0.571340 + 0.820713i \(0.693576\pi\)
\(8\) 2.64956 0.989868i 0.936760 0.349971i
\(9\) −2.57308 + 1.54248i −0.857694 + 0.514160i
\(10\) −0.858434 0.309701i −0.271461 0.0979360i
\(11\) 2.27674 + 4.53337i 0.686464 + 1.36686i 0.918994 + 0.394273i \(0.129003\pi\)
−0.232530 + 0.972589i \(0.574700\pi\)
\(12\) 3.46370 + 0.0527369i 0.999884 + 0.0152238i
\(13\) 2.07031 0.893043i 0.574200 0.247686i −0.0891211 0.996021i \(-0.528406\pi\)
0.663321 + 0.748335i \(0.269147\pi\)
\(14\) 0.125154 1.09765i 0.0334489 0.293358i
\(15\) −0.841019 0.736153i −0.217150 0.190074i
\(16\) −3.36657 2.16013i −0.841643 0.540034i
\(17\) 3.54620 + 4.22620i 0.860080 + 1.02500i 0.999396 + 0.0347552i \(0.0110651\pi\)
−0.139316 + 0.990248i \(0.544490\pi\)
\(18\) 3.92729 + 1.60511i 0.925672 + 0.378328i
\(19\) −0.124773 0.104697i −0.0286250 0.0240192i 0.628363 0.777920i \(-0.283725\pi\)
−0.656988 + 0.753901i \(0.728170\pi\)
\(20\) 0.377127 + 1.23427i 0.0843282 + 0.275991i
\(21\) 0.632352 1.19619i 0.137990 0.261030i
\(22\) 3.20168 6.42022i 0.682600 1.36880i
\(23\) 1.52742 + 1.61897i 0.318488 + 0.337578i 0.866763 0.498721i \(-0.166197\pi\)
−0.548275 + 0.836298i \(0.684715\pi\)
\(24\) −2.87652 3.96556i −0.587167 0.809466i
\(25\) −1.81547 + 4.20872i −0.363093 + 0.841745i
\(26\) −2.76593 1.58651i −0.542444 0.311140i
\(27\) 3.76366 + 3.58258i 0.724316 + 0.689468i
\(28\) −1.34861 + 0.788814i −0.254864 + 0.149072i
\(29\) 8.67805 1.01432i 1.61147 0.188354i 0.737852 0.674962i \(-0.235840\pi\)
0.873620 + 0.486608i \(0.161766\pi\)
\(30\) −0.120372 + 1.57606i −0.0219768 + 0.287749i
\(31\) −1.62986 6.87692i −0.292731 1.23513i −0.898316 0.439350i \(-0.855209\pi\)
0.605585 0.795781i \(-0.292939\pi\)
\(32\) 0.408645 + 5.64207i 0.0722389 + 0.997387i
\(33\) 6.51563 5.89504i 1.13423 1.02619i
\(34\) 1.77783 7.59683i 0.304896 1.30285i
\(35\) 0.496438 + 0.0875354i 0.0839133 + 0.0147962i
\(36\) −1.51225 5.80630i −0.252042 0.967716i
\(37\) −3.35892 + 0.592269i −0.552204 + 0.0973684i −0.442786 0.896627i \(-0.646010\pi\)
−0.109418 + 0.993996i \(0.534899\pi\)
\(38\) −0.0127438 + 0.229994i −0.00206732 + 0.0373100i
\(39\) −2.44727 3.04335i −0.391876 0.487326i
\(40\) 1.07748 1.47321i 0.170364 0.232934i
\(41\) 2.81315 + 2.09432i 0.439341 + 0.327077i 0.793999 0.607919i \(-0.207995\pi\)
−0.354658 + 0.934996i \(0.615403\pi\)
\(42\) −1.89012 + 0.298211i −0.291651 + 0.0460149i
\(43\) −0.158674 + 2.72433i −0.0241976 + 0.415457i 0.964358 + 0.264601i \(0.0852402\pi\)
−0.988556 + 0.150856i \(0.951797\pi\)
\(44\) −9.98168 + 1.81824i −1.50479 + 0.274111i
\(45\) −0.840291 + 1.74402i −0.125263 + 0.259983i
\(46\) 0.537836 3.10142i 0.0792996 0.457280i
\(47\) −10.9555 2.59650i −1.59802 0.378738i −0.667394 0.744705i \(-0.732590\pi\)
−0.930628 + 0.365966i \(0.880739\pi\)
\(48\) −2.05049 + 6.61782i −0.295962 + 0.955200i
\(49\) −0.371531 6.37894i −0.0530759 0.911278i
\(50\) 6.30320 1.51270i 0.891407 0.213929i
\(51\) 5.41636 7.87222i 0.758442 1.10233i
\(52\) 0.548807 + 4.47589i 0.0761058 + 0.620694i
\(53\) 4.44472 + 7.69848i 0.610529 + 1.05747i 0.991151 + 0.132737i \(0.0423765\pi\)
−0.380622 + 0.924731i \(0.624290\pi\)
\(54\) 0.864927 7.29739i 0.117702 0.993049i
\(55\) 2.83501 + 1.63679i 0.382272 + 0.220705i
\(56\) 2.03616 + 0.857920i 0.272093 + 0.114644i
\(57\) −0.117123 + 0.256655i −0.0155133 + 0.0339948i
\(58\) −8.50466 8.96355i −1.11672 1.17697i
\(59\) 4.04980 8.06382i 0.527240 1.04982i −0.459601 0.888125i \(-0.652008\pi\)
0.986841 0.161695i \(-0.0516960\pi\)
\(60\) 1.88612 1.19979i 0.243497 0.154892i
\(61\) 14.6772 4.39406i 1.87922 0.562602i 0.883700 0.468054i \(-0.155045\pi\)
0.995520 0.0945474i \(-0.0301404\pi\)
\(62\) −6.40290 + 7.67461i −0.813170 + 0.974676i
\(63\) −2.28895 0.502923i −0.288380 0.0633623i
\(64\) 6.04032 5.24543i 0.755040 0.655678i
\(65\) 0.799513 1.21560i 0.0991674 0.150777i
\(66\) −12.1965 2.37830i −1.50128 0.292748i
\(67\) −9.65253 1.12822i −1.17924 0.137834i −0.496198 0.868209i \(-0.665271\pi\)
−0.683046 + 0.730375i \(0.739345\pi\)
\(68\) −10.1066 + 4.42744i −1.22560 + 0.536906i
\(69\) 1.99684 3.29769i 0.240391 0.396996i
\(70\) −0.321747 0.636164i −0.0384562 0.0760362i
\(71\) −10.2745 3.73963i −1.21936 0.443812i −0.349422 0.936966i \(-0.613622\pi\)
−0.869942 + 0.493153i \(0.835844\pi\)
\(72\) −5.29068 + 6.63390i −0.623513 + 0.781813i
\(73\) −1.89260 + 0.688851i −0.221512 + 0.0806239i −0.450392 0.892831i \(-0.648716\pi\)
0.228880 + 0.973455i \(0.426494\pi\)
\(74\) 3.51784 + 3.30017i 0.408940 + 0.383637i
\(75\) 7.86437 + 1.08605i 0.908099 + 0.125406i
\(76\) 0.271153 0.180543i 0.0311034 0.0207097i
\(77\) −1.13658 + 3.79643i −0.129525 + 0.432643i
\(78\) −1.37045 + 5.35014i −0.155173 + 0.605784i
\(79\) −0.407336 + 0.303251i −0.0458289 + 0.0341184i −0.619829 0.784737i \(-0.712798\pi\)
0.574000 + 0.818855i \(0.305391\pi\)
\(80\) −2.58103 + 0.0291654i −0.288568 + 0.00326079i
\(81\) 4.24151 7.93786i 0.471279 0.881984i
\(82\) −0.0140108 4.95982i −0.00154723 0.547720i
\(83\) 0.385869 0.287269i 0.0423546 0.0315318i −0.575773 0.817609i \(-0.695299\pi\)
0.618128 + 0.786078i \(0.287891\pi\)
\(84\) 1.93984 + 1.88679i 0.211654 + 0.205865i
\(85\) 3.41050 + 1.02104i 0.369920 + 0.110747i
\(86\) 3.21841 2.12983i 0.347050 0.229666i
\(87\) −5.70259 14.0176i −0.611382 1.50284i
\(88\) 10.5198 + 9.75775i 1.12141 + 1.04018i
\(89\) −3.27947 9.01027i −0.347623 0.955086i −0.983117 0.182980i \(-0.941426\pi\)
0.635494 0.772106i \(-0.280797\pi\)
\(90\) 2.68653 0.527231i 0.283185 0.0555750i
\(91\) 1.65511 + 0.602412i 0.173503 + 0.0631499i
\(92\) −3.96669 + 2.02029i −0.413556 + 0.210630i
\(93\) −10.7266 + 5.89796i −1.11229 + 0.611590i
\(94\) 6.34789 + 14.6025i 0.654735 + 1.50613i
\(95\) −0.104396 0.0122021i −0.0107108 0.00125191i
\(96\) 9.22948 3.28888i 0.941980 0.335670i
\(97\) 8.36360 + 5.50082i 0.849195 + 0.558524i 0.897855 0.440291i \(-0.145125\pi\)
−0.0486604 + 0.998815i \(0.515495\pi\)
\(98\) −6.90591 + 5.82807i −0.697602 + 0.588724i
\(99\) −12.8509 8.15290i −1.29156 0.819397i
\(100\) −7.05564 5.85278i −0.705564 0.585278i
\(101\) 3.75861 + 12.5546i 0.373995 + 1.24923i 0.913358 + 0.407158i \(0.133480\pi\)
−0.539362 + 0.842074i \(0.681335\pi\)
\(102\) −13.5027 + 0.542134i −1.33697 + 0.0536792i
\(103\) 1.28050 2.54968i 0.126171 0.251228i −0.821674 0.569957i \(-0.806960\pi\)
0.947846 + 0.318729i \(0.103256\pi\)
\(104\) 4.60140 4.41550i 0.451205 0.432975i
\(105\) −0.0832400 0.869144i −0.00812339 0.0848197i
\(106\) 4.94671 11.5574i 0.480467 1.12256i
\(107\) 13.2938 + 7.67519i 1.28516 + 0.741989i 0.977787 0.209600i \(-0.0672160\pi\)
0.307375 + 0.951588i \(0.400549\pi\)
\(108\) −8.99373 + 5.20699i −0.865422 + 0.501043i
\(109\) −7.66290 + 4.42418i −0.733973 + 0.423759i −0.819874 0.572544i \(-0.805956\pi\)
0.0859012 + 0.996304i \(0.472623\pi\)
\(110\) −0.550444 4.59670i −0.0524828 0.438279i
\(111\) 2.54055 + 5.33339i 0.241138 + 0.506223i
\(112\) −0.754921 3.03216i −0.0713333 0.286513i
\(113\) 10.7106 0.623823i 1.00757 0.0586844i 0.453588 0.891212i \(-0.350144\pi\)
0.553984 + 0.832527i \(0.313107\pi\)
\(114\) 0.389816 0.0849878i 0.0365096 0.00795984i
\(115\) 1.39757 + 0.331231i 0.130324 + 0.0308874i
\(116\) −2.93710 + 17.2256i −0.272703 + 1.59936i
\(117\) −3.94957 + 5.49128i −0.365138 + 0.507669i
\(118\) −12.5612 + 2.25148i −1.15635 + 0.207265i
\(119\) −0.250587 + 4.30242i −0.0229713 + 0.394402i
\(120\) −2.95702 1.11798i −0.269938 0.102057i
\(121\) −8.79912 + 11.8193i −0.799920 + 1.07448i
\(122\) −17.4160 12.8894i −1.57677 1.16695i
\(123\) 2.19631 5.66359i 0.198034 0.510669i
\(124\) 14.1153 + 0.742132i 1.26760 + 0.0666455i
\(125\) 1.07389 + 6.09033i 0.0960516 + 0.544736i
\(126\) 1.37107 + 3.01738i 0.122144 + 0.268810i
\(127\) 7.23687 + 1.27606i 0.642169 + 0.113232i 0.485244 0.874379i \(-0.338731\pi\)
0.156925 + 0.987611i \(0.449842\pi\)
\(128\) −11.0582 2.39094i −0.977415 0.211331i
\(129\) 4.62102 0.993812i 0.406859 0.0875002i
\(130\) −2.05380 + 0.125442i −0.180130 + 0.0110020i
\(131\) 2.77788 + 11.7208i 0.242705 + 1.02405i 0.948786 + 0.315921i \(0.102313\pi\)
−0.706081 + 0.708131i \(0.749538\pi\)
\(132\) 7.64688 + 15.8223i 0.665575 + 1.37715i
\(133\) −0.0147715 0.126379i −0.00128085 0.0109584i
\(134\) 6.90543 + 11.8829i 0.596538 + 1.02653i
\(135\) 3.29951 + 0.596926i 0.283977 + 0.0513753i
\(136\) 13.5792 + 7.68728i 1.16441 + 0.659179i
\(137\) 8.09773 + 3.49302i 0.691836 + 0.298429i 0.712816 0.701351i \(-0.247419\pi\)
−0.0209802 + 0.999780i \(0.506679\pi\)
\(138\) −5.42568 + 0.535101i −0.461864 + 0.0455509i
\(139\) −4.11256 4.35906i −0.348823 0.369731i 0.529078 0.848573i \(-0.322538\pi\)
−0.877901 + 0.478843i \(0.841056\pi\)
\(140\) −0.447379 + 0.903496i −0.0378104 + 0.0763593i
\(141\) 0.727292 + 19.4876i 0.0612490 + 1.64115i
\(142\) 4.47665 + 14.8007i 0.375672 + 1.24205i
\(143\) 8.76205 + 7.35223i 0.732719 + 0.614824i
\(144\) 11.9944 + 0.365330i 0.999536 + 0.0304441i
\(145\) 4.31900 3.62408i 0.358674 0.300963i
\(146\) 2.38415 + 1.55845i 0.197313 + 0.128978i
\(147\) −10.4767 + 3.56737i −0.864102 + 0.294232i
\(148\) 0.753635 6.77972i 0.0619484 0.557290i
\(149\) −3.63150 8.41875i −0.297504 0.689691i 0.702249 0.711932i \(-0.252179\pi\)
−0.999753 + 0.0222403i \(0.992920\pi\)
\(150\) −5.43732 9.82299i −0.443956 0.802044i
\(151\) 6.44346 + 12.8300i 0.524362 + 1.04409i 0.987473 + 0.157790i \(0.0504368\pi\)
−0.463111 + 0.886300i \(0.653267\pi\)
\(152\) −0.434231 0.153892i −0.0352208 0.0124823i
\(153\) −15.6435 5.40441i −1.26470 0.436920i
\(154\) 5.26098 1.93169i 0.423942 0.155660i
\(155\) −3.31726 3.12967i −0.266449 0.251381i
\(156\) 7.21802 2.98405i 0.577904 0.238915i
\(157\) −9.57554 14.5589i −0.764211 1.16193i −0.982540 0.186051i \(-0.940431\pi\)
0.218329 0.975875i \(-0.429939\pi\)
\(158\) 0.688578 + 0.204029i 0.0547803 + 0.0162317i
\(159\) 10.7975 10.9764i 0.856297 0.870482i
\(160\) 2.22098 + 2.89696i 0.175584 + 0.229025i
\(161\) 1.73873i 0.137031i
\(162\) −12.5811 + 1.92769i −0.988464 + 0.151454i
\(163\) 14.5932 1.14303 0.571513 0.820593i \(-0.306357\pi\)
0.571513 + 0.820593i \(0.306357\pi\)
\(164\) −5.60255 + 4.22035i −0.437486 + 0.329554i
\(165\) 1.42247 5.48868i 0.110739 0.427293i
\(166\) −0.652288 0.193276i −0.0506274 0.0150011i
\(167\) 1.19591 0.786562i 0.0925422 0.0608660i −0.502394 0.864639i \(-0.667547\pi\)
0.594937 + 0.803773i \(0.297177\pi\)
\(168\) 0.491384 3.79532i 0.0379111 0.292815i
\(169\) −5.43250 + 5.75811i −0.417885 + 0.442932i
\(170\) −1.73532 4.72617i −0.133093 0.362481i
\(171\) 0.482545 + 0.0769342i 0.0369012 + 0.00588331i
\(172\) −5.13922 1.83771i −0.391862 0.140124i
\(173\) 0.838988 0.421356i 0.0637871 0.0320351i −0.416620 0.909081i \(-0.636785\pi\)
0.480407 + 0.877046i \(0.340489\pi\)
\(174\) −11.0335 + 18.3381i −0.836449 + 1.39021i
\(175\) −3.28778 + 1.41821i −0.248533 + 0.107207i
\(176\) 2.12786 20.1800i 0.160394 1.52112i
\(177\) −15.3320 3.03470i −1.15242 0.228102i
\(178\) −7.41943 + 11.3504i −0.556110 + 0.850749i
\(179\) −0.321924 0.383654i −0.0240617 0.0286756i 0.753879 0.657013i \(-0.228180\pi\)
−0.777941 + 0.628337i \(0.783736\pi\)
\(180\) −2.87422 2.59417i −0.214231 0.193358i
\(181\) −0.834188 + 0.994146i −0.0620047 + 0.0738943i −0.796155 0.605092i \(-0.793136\pi\)
0.734151 + 0.678987i \(0.237581\pi\)
\(182\) −0.721137 2.38423i −0.0534543 0.176731i
\(183\) −14.1161 22.4704i −1.04349 1.66106i
\(184\) 5.64954 + 2.77761i 0.416490 + 0.204768i
\(185\) −1.60091 + 1.51038i −0.117701 + 0.111046i
\(186\) 15.7694 + 7.14254i 1.15627 + 0.523716i
\(187\) −11.0851 + 25.6982i −0.810624 + 1.87924i
\(188\) 11.1486 19.5644i 0.813097 1.42688i
\(189\) 0.218005 + 4.05328i 0.0158575 + 0.294833i
\(190\) 0.0746848 + 0.128518i 0.00541820 + 0.00932368i
\(191\) −16.2996 + 1.90515i −1.17940 + 0.137852i −0.683117 0.730309i \(-0.739376\pi\)
−0.496282 + 0.868161i \(0.665302\pi\)
\(192\) −11.5469 7.65960i −0.833325 0.552784i
\(193\) −12.5111 + 2.96518i −0.900567 + 0.213438i −0.654721 0.755871i \(-0.727214\pi\)
−0.245846 + 0.969309i \(0.579066\pi\)
\(194\) −0.863070 14.1306i −0.0619648 1.01452i
\(195\) −2.39858 0.772996i −0.171766 0.0553554i
\(196\) 12.4515 + 2.87686i 0.889392 + 0.205490i
\(197\) −2.37250 + 13.4551i −0.169034 + 0.958637i 0.775774 + 0.631011i \(0.217360\pi\)
−0.944808 + 0.327626i \(0.893751\pi\)
\(198\) 1.66488 + 21.4583i 0.118318 + 1.52497i
\(199\) −12.8743 + 2.27009i −0.912638 + 0.160923i −0.610201 0.792247i \(-0.708911\pi\)
−0.302437 + 0.953169i \(0.597800\pi\)
\(200\) −0.644103 + 12.9483i −0.0455449 + 0.915586i
\(201\) 2.57629 + 16.6342i 0.181718 + 1.17328i
\(202\) 11.0254 14.8974i 0.775745 1.04818i
\(203\) 5.47472 + 4.07578i 0.384250 + 0.286063i
\(204\) 12.0601 + 14.8253i 0.844376 + 1.03798i
\(205\) 2.25932 + 0.131591i 0.157798 + 0.00919069i
\(206\) −3.97169 + 0.711890i −0.276721 + 0.0495997i
\(207\) −6.42739 1.80972i −0.446734 0.125785i
\(208\) −8.89893 1.46564i −0.617030 0.101624i
\(209\) 0.190554 0.804012i 0.0131809 0.0556147i
\(210\) −0.913293 + 0.831009i −0.0630232 + 0.0573451i
\(211\) −0.0754386 1.29523i −0.00519341 0.0891674i 0.994715 0.102671i \(-0.0327387\pi\)
−0.999909 + 0.0135031i \(0.995702\pi\)
\(212\) −17.2762 + 4.19776i −1.18653 + 0.288304i
\(213\) −1.49553 + 18.8790i −0.102472 + 1.29357i
\(214\) −2.58113 21.5547i −0.176442 1.47345i
\(215\) 0.880495 + 1.52506i 0.0600493 + 0.104008i
\(216\) 13.5183 + 5.76673i 0.919805 + 0.392376i
\(217\) 2.76047 4.78128i 0.187393 0.324574i
\(218\) 11.5040 + 4.92385i 0.779150 + 0.333485i
\(219\) 2.02431 + 2.84105i 0.136790 + 0.191980i
\(220\) −4.73677 + 4.51977i −0.319353 + 0.304723i
\(221\) 11.1159 + 5.58261i 0.747736 + 0.375527i
\(222\) 3.88366 7.39703i 0.260654 0.496456i
\(223\) −7.92796 + 2.37348i −0.530896 + 0.158940i −0.541021 0.841009i \(-0.681962\pi\)
0.0101254 + 0.999949i \(0.496777\pi\)
\(224\) −2.79241 + 3.42496i −0.186575 + 0.228840i
\(225\) −1.82053 13.6297i −0.121369 0.908648i
\(226\) −9.78568 11.5954i −0.650934 0.771317i
\(227\) 4.49057 6.82757i 0.298049 0.453162i −0.655153 0.755497i \(-0.727396\pi\)
0.953202 + 0.302335i \(0.0977660\pi\)
\(228\) −0.426656 0.369220i −0.0282560 0.0244522i
\(229\) 2.67831 22.9144i 0.176988 1.51423i −0.554392 0.832256i \(-0.687049\pi\)
0.731380 0.681971i \(-0.238877\pi\)
\(230\) −0.809790 1.86282i −0.0533959 0.122830i
\(231\) 6.86247 + 0.143269i 0.451517 + 0.00942639i
\(232\) 21.9890 11.2776i 1.44365 0.740412i
\(233\) 1.13446 3.11690i 0.0743208 0.204195i −0.896969 0.442093i \(-0.854236\pi\)
0.971290 + 0.237898i \(0.0764584\pi\)
\(234\) 9.56413 0.184173i 0.625227 0.0120398i
\(235\) −6.82725 + 2.48492i −0.445361 + 0.162098i
\(236\) 13.1969 + 12.3104i 0.859044 + 0.801341i
\(237\) 0.694410 + 0.539857i 0.0451068 + 0.0350675i
\(238\) 5.08269 3.36355i 0.329462 0.218026i
\(239\) 5.85276 19.5496i 0.378584 1.26456i −0.530408 0.847743i \(-0.677961\pi\)
0.908991 0.416815i \(-0.136854\pi\)
\(240\) 1.24116 + 4.29503i 0.0801168 + 0.277243i
\(241\) −0.654766 0.879504i −0.0421772 0.0566538i 0.780534 0.625113i \(-0.214947\pi\)
−0.822711 + 0.568459i \(0.807540\pi\)
\(242\) 20.8383 0.0588653i 1.33954 0.00378401i
\(243\) −15.2103 3.41291i −0.975739 0.218938i
\(244\) 0.173115 + 30.6411i 0.0110826 + 1.96160i
\(245\) −2.46227 3.30740i −0.157308 0.211302i
\(246\) −8.27292 + 2.31490i −0.527462 + 0.147593i
\(247\) −0.351818 0.105327i −0.0223856 0.00670182i
\(248\) −11.1256 16.6074i −0.706479 1.05457i
\(249\) −0.657813 0.511405i −0.0416872 0.0324090i
\(250\) 5.98381 6.37846i 0.378449 0.403410i
\(251\) −6.58589 18.0946i −0.415697 1.14212i −0.954115 0.299441i \(-0.903200\pi\)
0.538417 0.842678i \(-0.319022\pi\)
\(252\) 2.25336 4.10989i 0.141948 0.258899i
\(253\) −3.86184 + 10.6103i −0.242792 + 0.667064i
\(254\) −4.69030 9.27375i −0.294296 0.581887i
\(255\) 0.128705 6.16486i 0.00805980 0.386058i
\(256\) 6.66764 + 14.5445i 0.416727 + 0.909031i
\(257\) −2.17333 + 18.5940i −0.135569 + 1.15986i 0.738566 + 0.674181i \(0.235503\pi\)
−0.874135 + 0.485683i \(0.838571\pi\)
\(258\) −5.04227 4.38846i −0.313918 0.273213i
\(259\) −2.22608 1.46412i −0.138322 0.0909758i
\(260\) 1.88302 + 2.21852i 0.116780 + 0.137587i
\(261\) −20.7648 + 15.9956i −1.28531 + 0.990105i
\(262\) 10.9129 13.0804i 0.674203 0.808109i
\(263\) −7.53215 25.1591i −0.464453 1.55138i −0.794409 0.607383i \(-0.792219\pi\)
0.329956 0.943996i \(-0.392966\pi\)
\(264\) 11.4282 22.0689i 0.703359 1.35825i
\(265\) 5.12619 + 2.57447i 0.314899 + 0.158148i
\(266\) −0.130536 + 0.123854i −0.00800370 + 0.00759395i
\(267\) −13.5256 + 9.63728i −0.827754 + 0.589792i
\(268\) 7.59745 17.8901i 0.464088 1.09281i
\(269\) 15.9027 27.5443i 0.969607 1.67941i 0.272915 0.962038i \(-0.412012\pi\)
0.696692 0.717370i \(-0.254654\pi\)
\(270\) −2.12132 4.24101i −0.129100 0.258100i
\(271\) 0.670077 0.386869i 0.0407043 0.0235006i −0.479510 0.877537i \(-0.659185\pi\)
0.520214 + 0.854036i \(0.325852\pi\)
\(272\) −2.80939 21.8881i −0.170344 1.32716i
\(273\) 0.240914 3.04119i 0.0145808 0.184061i
\(274\) −2.91049 12.1276i −0.175829 0.732653i
\(275\) −23.2130 + 1.35201i −1.39980 + 0.0815290i
\(276\) 5.20513 + 5.68816i 0.313312 + 0.342387i
\(277\) 3.10063 13.0826i 0.186299 0.786056i −0.796989 0.603994i \(-0.793575\pi\)
0.983287 0.182061i \(-0.0582769\pi\)
\(278\) −1.44812 + 8.35057i −0.0868525 + 0.500834i
\(279\) 14.8013 + 15.1808i 0.886129 + 0.908853i
\(280\) 1.40199 0.259478i 0.0837849 0.0155068i
\(281\) −10.5111 0.612204i −0.627042 0.0365210i −0.258318 0.966060i \(-0.583168\pi\)
−0.368724 + 0.929539i \(0.620205\pi\)
\(282\) 21.4431 17.3431i 1.27692 1.03277i
\(283\) −6.12021 + 8.22086i −0.363808 + 0.488680i −0.945907 0.324439i \(-0.894825\pi\)
0.582098 + 0.813118i \(0.302232\pi\)
\(284\) 12.9593 17.6142i 0.768992 1.04521i
\(285\) 0.0278636 + 0.179905i 0.00165050 + 0.0106566i
\(286\) 0.894920 16.1511i 0.0529177 0.955032i
\(287\) 0.475746 + 2.69809i 0.0280824 + 0.159263i
\(288\) −9.75427 13.8872i −0.574776 0.818311i
\(289\) −2.33318 + 13.2321i −0.137246 + 0.778361i
\(290\) −7.76366 1.81687i −0.455898 0.106690i
\(291\) 5.31838 16.5028i 0.311769 0.967409i
\(292\) −0.256930 4.01993i −0.0150357 0.235249i
\(293\) 15.7754 3.73885i 0.921610 0.218426i 0.257689 0.966228i \(-0.417039\pi\)
0.663921 + 0.747802i \(0.268891\pi\)
\(294\) 12.9194 + 8.83533i 0.753474 + 0.515287i
\(295\) −0.676003 5.78358i −0.0393584 0.336733i
\(296\) −8.31340 + 4.89414i −0.483207 + 0.284466i
\(297\) −7.67227 + 25.2187i −0.445190 + 1.46334i
\(298\) −6.45143 + 11.2475i −0.373721 + 0.651548i
\(299\) 4.60802 + 1.98771i 0.266489 + 0.114952i
\(300\) −6.51019 + 14.4820i −0.375866 + 0.836120i
\(301\) −1.55062 + 1.46294i −0.0893763 + 0.0843222i
\(302\) 9.06114 18.1700i 0.521410 1.04557i
\(303\) 19.2208 12.0747i 1.10421 0.693671i
\(304\) 0.193898 + 0.621998i 0.0111208 + 0.0356740i
\(305\) 6.35493 7.57351i 0.363882 0.433658i
\(306\) 7.14346 + 22.2895i 0.408364 + 1.27421i
\(307\) 7.38401 6.19592i 0.421428 0.353620i −0.407278 0.913304i \(-0.633522\pi\)
0.828706 + 0.559684i \(0.189078\pi\)
\(308\) −6.64643 4.31783i −0.378715 0.246031i
\(309\) −4.84778 0.959534i −0.275780 0.0545860i
\(310\) −0.730661 + 6.40814i −0.0414988 + 0.363958i
\(311\) −0.555040 1.28673i −0.0314734 0.0729636i 0.901754 0.432249i \(-0.142280\pi\)
−0.933228 + 0.359285i \(0.883021\pi\)
\(312\) −9.49669 5.64106i −0.537644 0.319362i
\(313\) −26.2179 + 13.1671i −1.48192 + 0.744249i −0.991847 0.127432i \(-0.959326\pi\)
−0.490074 + 0.871681i \(0.663030\pi\)
\(314\) −8.36314 + 23.1811i −0.471959 + 1.30818i
\(315\) −1.41240 + 0.540510i −0.0795796 + 0.0304543i
\(316\) −0.352758 0.952416i −0.0198442 0.0535776i
\(317\) −16.4839 + 17.4719i −0.925825 + 0.981318i −0.999873 0.0159371i \(-0.994927\pi\)
0.0740476 + 0.997255i \(0.476408\pi\)
\(318\) −21.5782 2.91780i −1.21005 0.163622i
\(319\) 24.3560 + 37.0314i 1.36367 + 2.07336i
\(320\) 1.39656 4.96990i 0.0780701 0.277826i
\(321\) 6.67019 25.7374i 0.372294 1.43652i
\(322\) 1.96821 1.47394i 0.109684 0.0821395i
\(323\) 0.898594i 0.0499991i
\(324\) 12.8472 + 12.6075i 0.713736 + 0.700415i
\(325\) 10.3346i 0.573263i
\(326\) −12.3708 16.5192i −0.685155 0.914916i
\(327\) 10.9256 + 10.7476i 0.604189 + 0.594343i
\(328\) 9.52671 + 2.76436i 0.526025 + 0.152636i
\(329\) −4.83310 7.34838i −0.266458 0.405129i
\(330\) −7.41893 + 3.04260i −0.408399 + 0.167490i
\(331\) −9.50792 + 10.0778i −0.522603 + 0.553927i −0.933881 0.357583i \(-0.883601\pi\)
0.411279 + 0.911510i \(0.365082\pi\)
\(332\) 0.334166 + 0.902222i 0.0183398 + 0.0495159i
\(333\) 7.72923 6.70503i 0.423559 0.367434i
\(334\) −1.90416 0.686972i −0.104191 0.0375895i
\(335\) −5.60413 + 2.81450i −0.306186 + 0.153772i
\(336\) −4.71279 + 2.66109i −0.257104 + 0.145175i
\(337\) −7.53317 17.4639i −0.410358 0.951317i −0.990590 0.136866i \(-0.956297\pi\)
0.580231 0.814452i \(-0.302962\pi\)
\(338\) 11.1233 + 1.26828i 0.605026 + 0.0689856i
\(339\) −5.98983 17.5910i −0.325323 0.955411i
\(340\) −3.87890 + 5.97078i −0.210363 + 0.323811i
\(341\) 27.4648 23.0457i 1.48730 1.24800i
\(342\) −0.321971 0.611451i −0.0174102 0.0330635i
\(343\) 6.72345 8.01270i 0.363032 0.432645i
\(344\) 2.27631 + 7.37535i 0.122731 + 0.397652i
\(345\) −0.0927793 2.48599i −0.00499507 0.133841i
\(346\) −1.18819 0.592533i −0.0638773 0.0318548i
\(347\) 13.2397 12.4910i 0.710743 0.670552i −0.243392 0.969928i \(-0.578260\pi\)
0.954135 + 0.299376i \(0.0967786\pi\)
\(348\) 30.1116 3.05564i 1.61415 0.163800i
\(349\) −11.5535 4.98368i −0.618443 0.266770i 0.0637232 0.997968i \(-0.479703\pi\)
−0.682166 + 0.731198i \(0.738962\pi\)
\(350\) 4.39248 + 2.51948i 0.234788 + 0.134672i
\(351\) 10.9913 + 4.05593i 0.586673 + 0.216489i
\(352\) −24.6472 + 14.6981i −1.31370 + 0.783411i
\(353\) −0.497691 4.25801i −0.0264894 0.226631i 0.973509 0.228651i \(-0.0734313\pi\)
−0.999998 + 0.00201928i \(0.999357\pi\)
\(354\) 9.56184 + 19.9281i 0.508206 + 1.05917i
\(355\) −6.86548 + 1.62715i −0.364382 + 0.0863601i
\(356\) 19.1380 1.22319i 1.01431 0.0648289i
\(357\) 7.29777 1.56948i 0.386239 0.0830658i
\(358\) −0.161391 + 0.689639i −0.00852980 + 0.0364486i
\(359\) −2.84781 + 16.1507i −0.150302 + 0.852404i 0.812654 + 0.582746i \(0.198022\pi\)
−0.962956 + 0.269658i \(0.913089\pi\)
\(360\) −0.500048 + 5.45267i −0.0263549 + 0.287381i
\(361\) −3.29471 18.6852i −0.173406 0.983433i
\(362\) 1.83251 + 0.101538i 0.0963144 + 0.00533672i
\(363\) 23.7952 + 9.22763i 1.24892 + 0.484325i
\(364\) −2.08760 + 2.83746i −0.109420 + 0.148723i
\(365\) −0.776112 + 1.04250i −0.0406236 + 0.0545669i
\(366\) −13.4698 + 35.0275i −0.704076 + 1.83092i
\(367\) 9.76646 + 0.568832i 0.509805 + 0.0296928i 0.311120 0.950371i \(-0.399296\pi\)
0.198685 + 0.980063i \(0.436333\pi\)
\(368\) −1.64497 8.74979i −0.0857502 0.456114i
\(369\) −10.4689 1.04961i −0.544990 0.0546406i
\(370\) 3.06684 + 0.531838i 0.159437 + 0.0276490i
\(371\) −1.60146 + 6.75709i −0.0831436 + 0.350810i
\(372\) −5.28268 23.9055i −0.273894 1.23944i
\(373\) −25.8164 + 1.50364i −1.33672 + 0.0778553i −0.711553 0.702632i \(-0.752008\pi\)
−0.625171 + 0.780488i \(0.714971\pi\)
\(374\) 38.4869 9.23647i 1.99011 0.477606i
\(375\) 9.67040 4.60647i 0.499377 0.237877i
\(376\) −31.5974 + 3.96491i −1.62951 + 0.204475i
\(377\) 17.0604 9.84982i 0.878654 0.507291i
\(378\) 4.40344 3.68279i 0.226489 0.189422i
\(379\) 7.87213 13.6349i 0.404364 0.700379i −0.589883 0.807489i \(-0.700826\pi\)
0.994247 + 0.107109i \(0.0341595\pi\)
\(380\) 0.0821692 0.193488i 0.00421519 0.00992573i
\(381\) −1.21344 12.6700i −0.0621663 0.649105i
\(382\) 15.9740 + 16.8359i 0.817299 + 0.861399i
\(383\) −30.0290 15.0811i −1.53441 0.770611i −0.537075 0.843535i \(-0.680471\pi\)
−0.997337 + 0.0729241i \(0.976767\pi\)
\(384\) 1.11788 + 19.5640i 0.0570465 + 0.998372i
\(385\) 0.733432 + 2.44983i 0.0373791 + 0.124855i
\(386\) 13.9623 + 11.6487i 0.710662 + 0.592904i
\(387\) −3.79395 7.25469i −0.192857 0.368777i
\(388\) −15.2639 + 12.9556i −0.774908 + 0.657721i
\(389\) 12.1100 + 7.96489i 0.614003 + 0.403836i 0.818068 0.575121i \(-0.195045\pi\)
−0.204065 + 0.978957i \(0.565416\pi\)
\(390\) 1.15829 + 3.37043i 0.0586521 + 0.170669i
\(391\) −1.42555 + 12.1963i −0.0720930 + 0.616795i
\(392\) −7.29871 16.5336i −0.368640 0.835074i
\(393\) 18.2821 10.0523i 0.922208 0.507072i
\(394\) 17.2422 8.72041i 0.868647 0.439328i
\(395\) −0.112079 + 0.307935i −0.00563932 + 0.0154939i
\(396\) 22.8791 20.0750i 1.14972 1.00881i
\(397\) −6.77473 18.6134i −0.340014 0.934180i −0.985390 0.170315i \(-0.945521\pi\)
0.645376 0.763865i \(-0.276701\pi\)
\(398\) 13.4834 + 12.6492i 0.675863 + 0.634045i
\(399\) −0.204138 + 0.0830470i −0.0102197 + 0.00415755i
\(400\) 15.2033 10.2473i 0.760166 0.512367i
\(401\) 22.7923 + 6.82357i 1.13819 + 0.340753i 0.799809 0.600255i \(-0.204934\pi\)
0.338385 + 0.941008i \(0.390119\pi\)
\(402\) 16.6456 17.0173i 0.830209 0.848745i
\(403\) −9.51569 12.7818i −0.474010 0.636706i
\(404\) −26.2099 + 0.148080i −1.30399 + 0.00736725i
\(405\) −0.527982 5.78365i −0.0262356 0.287392i
\(406\) −0.0272666 9.65237i −0.00135322 0.479039i
\(407\) −10.3324 13.8788i −0.512157 0.687946i
\(408\) 6.55851 26.2194i 0.324695 1.29805i
\(409\) 7.41086 24.7540i 0.366444 1.22401i −0.553796 0.832652i \(-0.686821\pi\)
0.920240 0.391355i \(-0.127993\pi\)
\(410\) −1.76629 2.66907i −0.0872311 0.131816i
\(411\) 2.08960 15.1313i 0.103072 0.746373i
\(412\) 4.17269 + 3.89241i 0.205574 + 0.191765i
\(413\) 6.62400 2.41094i 0.325946 0.118634i
\(414\) 3.39999 + 8.80982i 0.167100 + 0.432979i
\(415\) 0.106172 0.291706i 0.00521180 0.0143193i
\(416\) 5.88464 + 11.3159i 0.288518 + 0.554807i
\(417\) −5.37648 + 8.87903i −0.263287 + 0.434808i
\(418\) −1.07166 + 0.465865i −0.0524168 + 0.0227862i
\(419\) −1.70612 + 14.5968i −0.0833496 + 0.713101i 0.885360 + 0.464906i \(0.153912\pi\)
−0.968710 + 0.248196i \(0.920162\pi\)
\(420\) 1.71490 + 0.329377i 0.0836784 + 0.0160720i
\(421\) −6.92976 + 10.5362i −0.337736 + 0.513502i −0.963927 0.266167i \(-0.914243\pi\)
0.626191 + 0.779670i \(0.284613\pi\)
\(422\) −1.40223 + 1.18338i −0.0682595 + 0.0576059i
\(423\) 32.1944 10.2176i 1.56535 0.496798i
\(424\) 19.3970 + 15.9979i 0.942003 + 0.776926i
\(425\) −24.2249 + 7.25246i −1.17508 + 0.351796i
\(426\) 22.6385 14.3110i 1.09684 0.693371i
\(427\) 10.6953 + 5.37138i 0.517582 + 0.259939i
\(428\) −22.2115 + 21.1940i −1.07364 + 1.02445i
\(429\) 8.22483 18.0233i 0.397098 0.870172i
\(430\) 0.979940 2.28952i 0.0472569 0.110410i
\(431\) −13.1989 + 22.8612i −0.635770 + 1.10119i 0.350581 + 0.936532i \(0.385984\pi\)
−0.986351 + 0.164654i \(0.947349\pi\)
\(432\) −4.93178 20.1910i −0.237280 0.971441i
\(433\) 12.8921 + 22.3298i 0.619555 + 1.07310i 0.989567 + 0.144074i \(0.0460202\pi\)
−0.370012 + 0.929027i \(0.620646\pi\)
\(434\) −7.75241 + 0.928332i −0.372127 + 0.0445614i
\(435\) −8.04510 5.53531i −0.385733 0.265398i
\(436\) −4.17836 17.1964i −0.200107 0.823556i
\(437\) −0.0210794 0.361920i −0.00100837 0.0173130i
\(438\) 1.49999 4.69987i 0.0716725 0.224569i
\(439\) 0.932845 3.93598i 0.0445223 0.187854i −0.946240 0.323466i \(-0.895152\pi\)
0.990762 + 0.135612i \(0.0433000\pi\)
\(440\) 9.13172 + 1.53049i 0.435338 + 0.0729634i
\(441\) 10.7954 + 15.8405i 0.514066 + 0.754308i
\(442\) −3.10364 17.3154i −0.147625 0.823612i
\(443\) −25.8747 1.50703i −1.22934 0.0716011i −0.568856 0.822437i \(-0.692614\pi\)
−0.660488 + 0.750836i \(0.729651\pi\)
\(444\) −11.6655 + 1.87430i −0.553622 + 0.0889505i
\(445\) −4.96311 3.69490i −0.235274 0.175155i
\(446\) 9.40736 + 6.96230i 0.445451 + 0.329675i
\(447\) −12.3756 + 9.95163i −0.585344 + 0.470696i
\(448\) 6.24415 + 0.257583i 0.295008 + 0.0121697i
\(449\) −15.2176 + 2.68327i −0.718161 + 0.126631i −0.520774 0.853694i \(-0.674357\pi\)
−0.197387 + 0.980326i \(0.563246\pi\)
\(450\) −13.8853 + 13.6149i −0.654561 + 0.641811i
\(451\) −3.08947 + 17.5213i −0.145478 + 0.825045i
\(452\) −4.83042 + 20.9068i −0.227204 + 0.983373i
\(453\) 18.4400 16.6837i 0.866389 0.783868i
\(454\) −11.5354 + 0.704562i −0.541383 + 0.0330668i
\(455\) 1.10595 0.262115i 0.0518478 0.0122882i
\(456\) −0.0562700 + 0.795959i −0.00263509 + 0.0372742i
\(457\) 9.39546 1.09817i 0.439501 0.0513703i 0.106535 0.994309i \(-0.466025\pi\)
0.332966 + 0.942939i \(0.391950\pi\)
\(458\) −28.2092 + 16.3930i −1.31813 + 0.765994i
\(459\) −1.79400 + 28.6105i −0.0837369 + 1.33542i
\(460\) −1.42221 + 2.49580i −0.0663109 + 0.116367i
\(461\) 10.7589 24.9419i 0.501091 1.16166i −0.460620 0.887597i \(-0.652373\pi\)
0.961712 0.274063i \(-0.0883677\pi\)
\(462\) −5.65521 7.88965i −0.263104 0.367060i
\(463\) −15.3869 + 14.5168i −0.715090 + 0.674653i −0.955156 0.296104i \(-0.904312\pi\)
0.240066 + 0.970757i \(0.422831\pi\)
\(464\) −31.4063 15.3310i −1.45800 0.711722i
\(465\) −3.69172 + 6.98344i −0.171199 + 0.323849i
\(466\) −4.48997 + 1.35804i −0.207994 + 0.0629100i
\(467\) 4.03208 4.80525i 0.186582 0.222360i −0.664642 0.747162i \(-0.731416\pi\)
0.851225 + 0.524802i \(0.175860\pi\)
\(468\) −8.31610 10.6703i −0.384412 0.493235i
\(469\) −4.87986 5.81559i −0.225331 0.268539i
\(470\) 8.60042 + 5.62185i 0.396708 + 0.259316i
\(471\) −19.8790 + 22.7108i −0.915977 + 1.04646i
\(472\) 2.74807 25.3743i 0.126490 1.16795i
\(473\) −12.7117 + 5.48328i −0.584483 + 0.252121i
\(474\) 0.0224504 1.24370i 0.00103118 0.0571252i
\(475\) 0.667164 0.335062i 0.0306116 0.0153737i
\(476\) −8.11613 2.90221i −0.372002 0.133022i
\(477\) −23.3114 12.9529i −1.06735 0.593074i
\(478\) −27.0913 + 9.94717i −1.23913 + 0.454973i
\(479\) −11.3063 + 11.9840i −0.516598 + 0.547561i −0.932180 0.361994i \(-0.882096\pi\)
0.415583 + 0.909555i \(0.363578\pi\)
\(480\) 3.80975 5.04592i 0.173891 0.230314i
\(481\) −6.42508 + 4.22584i −0.292958 + 0.192682i
\(482\) −0.440531 + 1.48675i −0.0200656 + 0.0677196i
\(483\) 2.90245 0.803322i 0.132066 0.0365524i
\(484\) −17.7315 23.5387i −0.805978 1.06994i
\(485\) 6.45973 0.293321
\(486\) 9.03055 + 20.1109i 0.409634 + 0.912250i
\(487\) 25.7564i 1.16714i 0.812064 + 0.583568i \(0.198344\pi\)
−0.812064 + 0.583568i \(0.801656\pi\)
\(488\) 34.5385 26.1708i 1.56348 1.18470i
\(489\) −6.74228 24.3603i −0.304897 1.10161i
\(490\) −1.65663 + 5.59096i −0.0748389 + 0.252574i
\(491\) 22.5128 + 34.2291i 1.01599 + 1.54474i 0.826564 + 0.562843i \(0.190292\pi\)
0.189426 + 0.981895i \(0.439337\pi\)
\(492\) 9.63348 + 7.40244i 0.434311 + 0.333728i
\(493\) 35.0608 + 33.0781i 1.57906 + 1.48976i
\(494\) 0.179011 + 0.487539i 0.00805409 + 0.0219354i
\(495\) −9.81942 + 0.161342i −0.441350 + 0.00725177i
\(496\) −9.36802 + 26.6724i −0.420637 + 1.19762i
\(497\) −3.83337 7.63287i −0.171950 0.342381i
\(498\) −0.0212672 + 1.17816i −0.000953006 + 0.0527945i
\(499\) −8.98185 20.8223i −0.402083 0.932132i −0.992182 0.124801i \(-0.960171\pi\)
0.590099 0.807331i \(-0.299089\pi\)
\(500\) −12.2929 1.36647i −0.549753 0.0611106i
\(501\) −1.86553 1.63292i −0.0833458 0.0729535i
\(502\) −14.8998 + 22.7941i −0.665012 + 1.01735i
\(503\) −27.4238 + 23.0113i −1.22277 + 1.02602i −0.224090 + 0.974568i \(0.571941\pi\)
−0.998675 + 0.0514538i \(0.983615\pi\)
\(504\) −6.56253 + 0.933233i −0.292318 + 0.0415695i
\(505\) 6.47826 + 5.43590i 0.288279 + 0.241895i
\(506\) 15.2844 4.62294i 0.679475 0.205515i
\(507\) 12.1219 + 6.40810i 0.538352 + 0.284594i
\(508\) −6.52171 + 13.1708i −0.289354 + 0.584360i
\(509\) −21.5227 22.8127i −0.953975 1.01115i −0.999925 0.0122112i \(-0.996113\pi\)
0.0459500 0.998944i \(-0.485369\pi\)
\(510\) −7.08762 + 5.08032i −0.313845 + 0.224961i
\(511\) −1.44468 0.623173i −0.0639088 0.0275676i
\(512\) 10.8119 19.8772i 0.477823 0.878456i
\(513\) −0.0945178 0.841055i −0.00417306 0.0371335i
\(514\) 22.8905 13.3022i 1.00966 0.586735i
\(515\) −0.213744 1.82870i −0.00941869 0.0805820i
\(516\) −0.693274 + 9.42791i −0.0305197 + 0.415041i
\(517\) −13.1719 55.5768i −0.579302 2.44427i
\(518\) 0.229718 + 3.76104i 0.0100932 + 0.165250i
\(519\) −1.09099 1.20584i −0.0478892 0.0529307i
\(520\) 0.915073 4.01222i 0.0401286 0.175947i
\(521\) 19.4958 + 3.43763i 0.854126 + 0.150605i 0.583534 0.812089i \(-0.301669\pi\)
0.270592 + 0.962694i \(0.412781\pi\)
\(522\) 35.7093 + 9.94569i 1.56295 + 0.435311i
\(523\) −0.685610 3.88829i −0.0299796 0.170023i 0.966142 0.258011i \(-0.0830672\pi\)
−0.996121 + 0.0879885i \(0.971956\pi\)
\(524\) −24.0578 1.26487i −1.05097 0.0552561i
\(525\) 3.88642 + 4.83304i 0.169617 + 0.210931i
\(526\) −22.0946 + 29.8540i −0.963372 + 1.30169i
\(527\) 23.2834 31.2750i 1.01424 1.36236i
\(528\) −34.6694 + 5.77145i −1.50879 + 0.251170i
\(529\) 1.04928 18.0154i 0.0456208 0.783279i
\(530\) −1.43127 7.98516i −0.0621704 0.346853i
\(531\) 2.01781 + 26.9956i 0.0875654 + 1.17151i
\(532\) 0.250857 + 0.0427730i 0.0108760 + 0.00185445i
\(533\) 7.69441 + 1.82361i 0.333282 + 0.0789892i
\(534\) 22.3751 + 7.14114i 0.968263 + 0.309027i
\(535\) 9.88884 0.575959i 0.427532 0.0249009i
\(536\) −26.6917 + 6.56545i −1.15291 + 0.283584i
\(537\) −0.491697 + 0.714639i −0.0212183 + 0.0308389i
\(538\) −44.6607 + 5.34801i −1.92546 + 0.230569i
\(539\) 28.0722 16.2075i 1.20916 0.698107i
\(540\) −3.00249 + 5.99646i −0.129207 + 0.258046i
\(541\) 0.395236 + 0.228190i 0.0169925 + 0.00981063i 0.508472 0.861078i \(-0.330210\pi\)
−0.491480 + 0.870889i \(0.663544\pi\)
\(542\) −1.00596 0.430563i −0.0432097 0.0184943i
\(543\) 2.04493 + 0.933193i 0.0877563 + 0.0400471i
\(544\) −22.3954 + 21.7349i −0.960194 + 0.931878i
\(545\) −2.56257 + 5.10250i −0.109768 + 0.218567i
\(546\) −3.64681 + 2.30534i −0.156069 + 0.0986596i
\(547\) 2.19211 + 7.32215i 0.0937278 + 0.313073i 0.991978 0.126412i \(-0.0403462\pi\)
−0.898250 + 0.439485i \(0.855161\pi\)
\(548\) −11.2609 + 13.5753i −0.481044 + 0.579908i
\(549\) −30.9878 + 33.9455i −1.32253 + 1.44876i
\(550\) 21.2084 + 25.1307i 0.904329 + 1.07158i
\(551\) −1.18898 0.782008i −0.0506525 0.0333146i
\(552\) 2.02646 10.7140i 0.0862519 0.456020i
\(553\) −0.394020 0.0460543i −0.0167554 0.00195843i
\(554\) −17.4377 + 7.58038i −0.740857 + 0.322060i
\(555\) 3.26092 + 1.97457i 0.138418 + 0.0838159i
\(556\) 10.6803 5.43962i 0.452945 0.230691i
\(557\) −11.3874 4.14469i −0.482501 0.175616i 0.0893059 0.996004i \(-0.471535\pi\)
−0.571807 + 0.820388i \(0.693757\pi\)
\(558\) 4.63727 29.6238i 0.196311 1.25407i
\(559\) 2.10444 + 5.78191i 0.0890085 + 0.244549i
\(560\) −1.48221 1.36707i −0.0626347 0.0577691i
\(561\) 48.0193 + 6.63134i 2.02738 + 0.279976i
\(562\) 8.21740 + 12.4174i 0.346630 + 0.523796i
\(563\) 5.77293 + 1.72830i 0.243300 + 0.0728393i 0.406132 0.913815i \(-0.366877\pi\)
−0.162831 + 0.986654i \(0.552063\pi\)
\(564\) −37.8096 9.57125i −1.59207 0.403022i
\(565\) 5.55332 4.13430i 0.233630 0.173931i
\(566\) 14.4940 0.0409436i 0.609230 0.00172099i
\(567\) 6.66540 2.23660i 0.279920 0.0939282i
\(568\) −30.9247 + 0.262080i −1.29757 + 0.0109966i
\(569\) −27.1818 + 20.2361i −1.13952 + 0.848340i −0.990090 0.140432i \(-0.955151\pi\)
−0.149428 + 0.988773i \(0.547743\pi\)
\(570\) 0.180029 0.184048i 0.00754058 0.00770893i
\(571\) 11.6495 38.9121i 0.487517 1.62842i −0.261025 0.965332i \(-0.584061\pi\)
0.748542 0.663087i \(-0.230754\pi\)
\(572\) −19.0414 + 12.6784i −0.796159 + 0.530110i
\(573\) 10.7109 + 26.3286i 0.447456 + 1.09989i
\(574\) 2.65090 2.82574i 0.110646 0.117944i
\(575\) −9.58675 + 3.48929i −0.399795 + 0.145514i
\(576\) −7.45128 + 22.8140i −0.310470 + 0.950583i
\(577\) −20.5957 7.49624i −0.857412 0.312073i −0.124354 0.992238i \(-0.539686\pi\)
−0.733059 + 0.680165i \(0.761908\pi\)
\(578\) 16.9564 8.57590i 0.705294 0.356711i
\(579\) 10.7301 + 19.5147i 0.445926 + 0.811003i
\(580\) 4.52467 + 10.3285i 0.187877 + 0.428868i
\(581\) 0.373254 + 0.0436271i 0.0154852 + 0.00180996i
\(582\) −23.1893 + 7.96926i −0.961228 + 0.330337i
\(583\) −24.7806 + 37.6770i −1.02631 + 1.56042i
\(584\) −4.33269 + 3.69858i −0.179288 + 0.153048i
\(585\) −0.182173 + 4.36108i −0.00753193 + 0.180308i
\(586\) −17.6053 14.6881i −0.727269 0.606758i
\(587\) −17.9502 + 5.37395i −0.740886 + 0.221807i −0.634936 0.772565i \(-0.718973\pi\)
−0.105950 + 0.994371i \(0.533788\pi\)
\(588\) −0.950467 22.1143i −0.0391966 0.911980i
\(589\) −0.516631 + 1.02870i −0.0212874 + 0.0423867i
\(590\) −5.97386 + 5.66803i −0.245940 + 0.233349i
\(591\) 23.5567 2.25608i 0.968992 0.0928026i
\(592\) 12.5874 + 5.26181i 0.517341 + 0.216259i
\(593\) 31.2663 + 18.0516i 1.28395 + 0.741291i 0.977569 0.210617i \(-0.0675471\pi\)
0.306385 + 0.951908i \(0.400880\pi\)
\(594\) 35.0510 12.6932i 1.43816 0.520810i
\(595\) 1.39053 + 2.40846i 0.0570060 + 0.0987373i
\(596\) 18.2009 2.23168i 0.745537 0.0914133i
\(597\) 9.73760 + 20.4422i 0.398534 + 0.836645i
\(598\) −1.65622 6.90121i −0.0677279 0.282211i
\(599\) −0.386591 6.63751i −0.0157957 0.271201i −0.996954 0.0779947i \(-0.975148\pi\)
0.981158 0.193207i \(-0.0618888\pi\)
\(600\) 21.9122 4.90714i 0.894560 0.200333i
\(601\) 24.3133 + 5.76236i 0.991761 + 0.235052i 0.694303 0.719683i \(-0.255713\pi\)
0.297458 + 0.954735i \(0.403861\pi\)
\(602\) 2.97050 + 0.515131i 0.121068 + 0.0209952i
\(603\) 26.5770 11.9858i 1.08230 0.488101i
\(604\) −28.2494 + 5.14586i −1.14945 + 0.209382i
\(605\) −0.552869 + 9.49239i −0.0224773 + 0.385920i
\(606\) −29.9620 11.5218i −1.21712 0.468042i
\(607\) 19.0006 + 14.1454i 0.771212 + 0.574146i 0.909235 0.416283i \(-0.136667\pi\)
−0.138023 + 0.990429i \(0.544075\pi\)
\(608\) 0.539722 0.746764i 0.0218886 0.0302853i
\(609\) 4.27426 11.0220i 0.173202 0.446634i
\(610\) −13.9602 0.773528i −0.565233 0.0313192i
\(611\) −25.0000 + 4.40818i −1.01139 + 0.178336i
\(612\) 19.1758 26.9814i 0.775136 1.09066i
\(613\) −31.5397 5.56130i −1.27388 0.224619i −0.504499 0.863412i \(-0.668323\pi\)
−0.769378 + 0.638793i \(0.779434\pi\)
\(614\) −13.2732 3.10623i −0.535662 0.125357i
\(615\) −0.824180 3.83227i −0.0332341 0.154532i
\(616\) 0.746538 + 11.1839i 0.0300789 + 0.450613i
\(617\) 3.08515 + 13.0173i 0.124203 + 0.524055i 0.999202 + 0.0399307i \(0.0127137\pi\)
−0.874999 + 0.484125i \(0.839138\pi\)
\(618\) 3.02334 + 6.30101i 0.121616 + 0.253464i
\(619\) 32.1310 3.75557i 1.29145 0.150949i 0.557516 0.830166i \(-0.311755\pi\)
0.733937 + 0.679217i \(0.237680\pi\)
\(620\) 7.87330 4.60516i 0.316199 0.184948i
\(621\) −0.0514050 + 11.5653i −0.00206281 + 0.464100i
\(622\) −0.986041 + 1.71907i −0.0395366 + 0.0689284i
\(623\) 2.96679 6.87779i 0.118862 0.275553i
\(624\) 1.66486 + 15.5321i 0.0666476 + 0.621781i
\(625\) −12.9887 13.7672i −0.519546 0.550687i
\(626\) 37.1301 + 18.5163i 1.48402 + 0.740060i
\(627\) −1.43017 + 0.0533752i −0.0571155 + 0.00213160i
\(628\) 33.3301 10.1839i 1.33002 0.406383i
\(629\) −14.4145 12.0952i −0.574742 0.482266i
\(630\) 1.80915 + 1.14061i 0.0720784 + 0.0454432i
\(631\) −10.5834 12.6128i −0.421318 0.502108i 0.513078 0.858342i \(-0.328505\pi\)
−0.934397 + 0.356234i \(0.884061\pi\)
\(632\) −0.779083 + 1.20669i −0.0309903 + 0.0479995i
\(633\) −2.12727 + 0.724347i −0.0845513 + 0.0287902i
\(634\) 33.7514 + 3.84836i 1.34044 + 0.152838i
\(635\) 4.35417 1.87821i 0.172790 0.0745344i
\(636\) 14.9892 + 26.8996i 0.594360 + 1.06664i
\(637\) −6.46585 12.8746i −0.256186 0.510109i
\(638\) 21.2722 58.9625i 0.842173 2.33435i
\(639\) 32.2056 6.22591i 1.27403 0.246293i
\(640\) −6.80973 + 2.63216i −0.269178 + 0.104045i
\(641\) −18.6830 17.6265i −0.737933 0.696204i 0.222432 0.974948i \(-0.428600\pi\)
−0.960365 + 0.278744i \(0.910082\pi\)
\(642\) −34.7887 + 14.2673i −1.37300 + 0.563085i
\(643\) 0.184735 0.121502i 0.00728524 0.00479158i −0.545861 0.837876i \(-0.683797\pi\)
0.553146 + 0.833084i \(0.313427\pi\)
\(644\) −3.33695 0.978510i −0.131494 0.0385587i
\(645\) 2.13897 2.17441i 0.0842220 0.0856173i
\(646\) −1.01719 + 0.761748i −0.0400209 + 0.0299706i
\(647\) 33.3406 1.31075 0.655376 0.755302i \(-0.272510\pi\)
0.655376 + 0.755302i \(0.272510\pi\)
\(648\) 3.38069 25.2304i 0.132806 0.991142i
\(649\) 45.7766 1.79689
\(650\) 11.6986 8.76079i 0.458858 0.343626i
\(651\) −9.25673 2.39901i −0.362800 0.0940246i
\(652\) −8.21265 + 28.0071i −0.321632 + 1.09684i
\(653\) −28.1242 + 18.4976i −1.10058 + 0.723865i −0.963771 0.266732i \(-0.914056\pi\)
−0.136813 + 0.990597i \(0.543686\pi\)
\(654\) 2.90431 21.4785i 0.113568 0.839875i
\(655\) 5.65384 + 5.33413i 0.220914 + 0.208422i
\(656\) −4.94669 13.1275i −0.193136 0.512541i
\(657\) 3.80728 4.69177i 0.148536 0.183044i
\(658\) −4.22117 + 11.7003i −0.164558 + 0.456125i
\(659\) −16.6052 33.0638i −0.646849 1.28798i −0.942985 0.332836i \(-0.891995\pi\)
0.296136 0.955146i \(-0.404302\pi\)
\(660\) 9.73329 + 5.81886i 0.378868 + 0.226499i
\(661\) 2.29046 0.988007i 0.0890885 0.0384290i −0.351069 0.936350i \(-0.614182\pi\)
0.440158 + 0.897921i \(0.354923\pi\)
\(662\) 19.4679 + 2.21974i 0.756641 + 0.0862727i
\(663\) 4.18330 21.1349i 0.162466 0.820813i
\(664\) 0.738024 1.14309i 0.0286409 0.0443607i
\(665\) −0.0527775 0.0628978i −0.00204662 0.00243907i
\(666\) −14.1421 3.06543i −0.547997 0.118783i
\(667\) 14.8971 + 12.5002i 0.576819 + 0.484009i
\(668\) 0.836536 + 2.73783i 0.0323666 + 0.105930i
\(669\) 7.62487 + 12.1375i 0.294795 + 0.469263i
\(670\) 7.93664 + 3.95790i 0.306619 + 0.152907i
\(671\) 53.3360 + 56.5329i 2.05902 + 2.18243i
\(672\) 7.00740 + 3.07896i 0.270316 + 0.118773i
\(673\) −6.85695 + 15.8962i −0.264316 + 0.612754i −0.997753 0.0670043i \(-0.978656\pi\)
0.733437 + 0.679758i \(0.237915\pi\)
\(674\) −13.3828 + 23.3317i −0.515488 + 0.898705i
\(675\) −21.9109 + 9.33615i −0.843351 + 0.359348i
\(676\) −7.99365 13.6665i −0.307448 0.525635i
\(677\) −12.1773 + 1.42332i −0.468011 + 0.0547026i −0.346830 0.937928i \(-0.612742\pi\)
−0.121180 + 0.992631i \(0.538668\pi\)
\(678\) −14.8351 + 21.6924i −0.569737 + 0.833093i
\(679\) 1.80341 + 7.60919i 0.0692085 + 0.292014i
\(680\) 10.0470 0.670648i 0.385285 0.0257182i
\(681\) −13.4719 4.34163i −0.516246 0.166371i
\(682\) −49.3696 11.5536i −1.89046 0.442411i
\(683\) 25.9343 + 4.57291i 0.992348 + 0.174978i 0.646172 0.763192i \(-0.276369\pi\)
0.346176 + 0.938170i \(0.387480\pi\)
\(684\) −0.419215 + 0.882800i −0.0160291 + 0.0337547i
\(685\) 5.60443 0.988212i 0.214134 0.0377576i
\(686\) −14.7698 0.818385i −0.563913 0.0312461i
\(687\) −39.4883 + 6.11593i −1.50657 + 0.233337i
\(688\) 6.41912 8.82892i 0.244727 0.336599i
\(689\) 16.0770 + 11.9689i 0.612485 + 0.455978i
\(690\) −2.73545 + 2.21243i −0.104137 + 0.0842257i
\(691\) −0.319261 + 5.48151i −0.0121453 + 0.208526i 0.986776 + 0.162090i \(0.0518235\pi\)
−0.998921 + 0.0464363i \(0.985214\pi\)
\(692\) 0.336502 + 1.84730i 0.0127919 + 0.0702240i
\(693\) −2.93141 11.5217i −0.111355 0.437672i
\(694\) −25.3630 4.39835i −0.962767 0.166959i
\(695\) −3.76296 0.891838i −0.142737 0.0338293i
\(696\) −28.9849 31.4956i −1.09867 1.19384i
\(697\) 1.12502 + 19.3158i 0.0426131 + 0.731638i
\(698\) 4.15256 + 17.3030i 0.157177 + 0.654930i
\(699\) −5.72715 0.453687i −0.216621 0.0171600i
\(700\) −0.871540 7.10800i −0.0329411 0.268657i
\(701\) 4.93185 + 8.54221i 0.186273 + 0.322635i 0.944005 0.329932i \(-0.107026\pi\)
−0.757732 + 0.652566i \(0.773692\pi\)
\(702\) −4.72622 15.8802i −0.178380 0.599361i
\(703\) 0.481113 + 0.277771i 0.0181455 + 0.0104763i
\(704\) 37.5317 + 15.4405i 1.41453 + 0.581936i
\(705\) 7.30236 + 10.2486i 0.275023 + 0.385985i
\(706\) −4.39810 + 4.17294i −0.165525 + 0.157051i
\(707\) −4.59460 + 9.14859i −0.172798 + 0.344068i
\(708\) 14.4526 27.7171i 0.543161 1.04167i
\(709\) 5.51280 1.65042i 0.207038 0.0619830i −0.181605 0.983372i \(-0.558129\pi\)
0.388643 + 0.921389i \(0.372944\pi\)
\(710\) 7.66185 + 6.39226i 0.287544 + 0.239897i
\(711\) 0.580352 1.40860i 0.0217649 0.0528265i
\(712\) −17.6081 20.6270i −0.659892 0.773029i
\(713\) 8.64402 13.1426i 0.323721 0.492194i
\(714\) −7.96303 6.93049i −0.298009 0.259367i
\(715\) 7.33105 + 0.856877i 0.274166 + 0.0320454i
\(716\) 0.917474 0.401922i 0.0342876 0.0150205i
\(717\) −35.3381 0.737758i −1.31972 0.0275521i
\(718\) 20.6965 10.4675i 0.772386 0.390643i
\(719\) −1.80072 0.655410i −0.0671557 0.0244427i 0.308224 0.951314i \(-0.400265\pi\)
−0.375380 + 0.926871i \(0.622488\pi\)
\(720\) 6.59622 4.05624i 0.245827 0.151167i
\(721\) 2.09443 0.762309i 0.0780005 0.0283899i
\(722\) −18.3584 + 19.5692i −0.683229 + 0.728291i
\(723\) −1.16564 + 1.49934i −0.0433505 + 0.0557611i
\(724\) −1.43850 2.16044i −0.0534613 0.0802922i
\(725\) −11.4857 + 38.3650i −0.426569 + 1.42484i
\(726\) −9.72590 34.7581i −0.360962 1.28999i
\(727\) −18.3539 + 13.6640i −0.680709 + 0.506769i −0.881090 0.472949i \(-0.843190\pi\)
0.200381 + 0.979718i \(0.435782\pi\)
\(728\) 4.98163 0.0422181i 0.184631 0.00156471i
\(729\) 1.33024 + 26.9672i 0.0492682 + 0.998786i
\(730\) 1.83801 0.00519212i 0.0680279 0.000192169i
\(731\) −12.0763 + 8.99044i −0.446657 + 0.332524i
\(732\) 51.0691 14.4457i 1.88757 0.533927i
\(733\) −14.3837 4.30619i −0.531273 0.159053i 0.00992064 0.999951i \(-0.496842\pi\)
−0.541193 + 0.840898i \(0.682027\pi\)
\(734\) −7.63523 11.5377i −0.281821 0.425863i
\(735\) −4.38341 + 5.63832i −0.161685 + 0.207972i
\(736\) −8.51016 + 9.27938i −0.313689 + 0.342042i
\(737\) −16.8617 46.3271i −0.621109 1.70648i
\(738\) 7.68647 + 12.7404i 0.282943 + 0.468981i
\(739\) −19.3835 7.05501i −0.713033 0.259523i −0.0400680 0.999197i \(-0.512757\pi\)
−0.672965 + 0.739674i \(0.734980\pi\)
\(740\) −1.99776 3.92246i −0.0734392 0.144192i
\(741\) −0.0132768 + 0.635951i −0.000487737 + 0.0233622i
\(742\) 9.00648 3.91523i 0.330638 0.143733i
\(743\) 15.7974 + 1.84645i 0.579549 + 0.0677396i 0.400817 0.916158i \(-0.368726\pi\)
0.178732 + 0.983898i \(0.442800\pi\)
\(744\) −22.5825 + 26.2449i −0.827914 + 0.962184i
\(745\) −4.94316 3.25117i −0.181103 0.119113i
\(746\) 23.5870 + 27.9491i 0.863580 + 1.02329i
\(747\) −0.549766 + 1.33436i −0.0201149 + 0.0488217i
\(748\) −43.0813 35.7367i −1.57521 1.30666i
\(749\) 3.43919 + 11.4877i 0.125665 + 0.419751i
\(750\) −13.4121 7.04178i −0.489742 0.257129i
\(751\) −6.08295 + 12.1121i −0.221970 + 0.441978i −0.976862 0.213871i \(-0.931393\pi\)
0.754892 + 0.655849i \(0.227689\pi\)
\(752\) 31.2737 + 32.4066i 1.14043 + 1.18175i
\(753\) −27.1624 + 19.3538i −0.989852 + 0.705290i
\(754\) −25.6121 10.9623i −0.932738 0.399222i
\(755\) 8.02342 + 4.63232i 0.292002 + 0.168587i
\(756\) −7.90170 1.86268i −0.287382 0.0677452i
\(757\) 19.1312 11.0454i 0.695335 0.401452i −0.110273 0.993901i \(-0.535172\pi\)
0.805608 + 0.592450i \(0.201839\pi\)
\(758\) −22.1078 + 2.64736i −0.802991 + 0.0961563i
\(759\) 19.4959 + 1.54441i 0.707658 + 0.0560584i
\(760\) −0.288681 + 0.0710078i −0.0104716 + 0.00257572i
\(761\) −48.1841 + 2.80640i −1.74667 + 0.101732i −0.901504 0.432771i \(-0.857536\pi\)
−0.845167 + 0.534503i \(0.820499\pi\)
\(762\) −13.3136 + 12.1141i −0.482301 + 0.438848i
\(763\) −6.72586 1.59406i −0.243492 0.0577088i
\(764\) 5.51663 32.3542i 0.199585 1.17053i
\(765\) −10.3504 + 2.63342i −0.374220 + 0.0952114i
\(766\) 8.38433 + 46.7768i 0.302938 + 1.69012i
\(767\) 1.18299 20.3112i 0.0427155 0.733396i
\(768\) 21.1985 17.8500i 0.764935 0.644108i
\(769\) 7.53592 10.1225i 0.271752 0.365027i −0.645207 0.764008i \(-0.723229\pi\)
0.916959 + 0.398981i \(0.130636\pi\)
\(770\) 2.15143 2.90698i 0.0775322 0.104760i
\(771\) 32.0430 4.96282i 1.15400 0.178731i
\(772\) 1.35015 25.6798i 0.0485930 0.924237i