Properties

Label 648.2.bb.b.347.32
Level $648$
Weight $2$
Character 648.347
Analytic conductor $5.174$
Analytic rank $0$
Dimension $1872$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 347.32
Character \(\chi\) \(=\) 648.347
Dual form 648.2.bb.b.155.32

$q$-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 \(\left(\mathbb{Z}/648\mathbb{Z}\right)^\times\).

\(n\) \(325\) \(487\) \(569\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{11}{54}\right)\)

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 0.664314 0.747454i \(-0.268724\pi\)
−0.423203 + 0.906035i \(0.639094\pi\)
\(6\) −1.49796 1.93807i −0.611538 0.791215i
\(7\) 0.568211 0.536080i 0.214764 0.202619i −0.571340 0.820713i \(-0.693576\pi\)
0.786104 + 0.618094i \(0.212095\pi\)
\(8\) 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 −0.232530 0.972589i \(-0.574700\pi\)
0.918994 0.394273i \(-0.129003\pi\)
\(12\) 3.46370 0.0527369i 0.999884 0.0152238i
\(13\) 2.07031 + 0.893043i 0.574200 + 0.247686i 0.663321 0.748335i \(-0.269147\pi\)
−0.0891211 + 0.996021i \(0.528406\pi\)
\(14\) 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 −0.139316 0.990248i \(-0.544490\pi\)
0.999396 0.0347552i \(-0.0110651\pi\)
\(18\) 3.92729 1.60511i 0.925672 0.378328i
\(19\) −0.124773 + 0.104697i −0.0286250 + 0.0240192i −0.656988 0.753901i \(-0.728170\pi\)
0.628363 + 0.777920i \(0.283725\pi\)
\(20\) 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 −0.548275 0.836298i \(-0.684715\pi\)
0.866763 + 0.498721i \(0.166197\pi\)
\(24\) −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 0.873620 0.486608i \(-0.161766\pi\)
0.737852 + 0.674962i \(0.235840\pi\)
\(30\) −0.120372 1.57606i −0.0219768 0.287749i
\(31\) −1.62986 + 6.87692i −0.292731 + 1.23513i 0.605585 + 0.795781i \(0.292939\pi\)
−0.898316 + 0.439350i \(0.855209\pi\)
\(32\) 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 −0.109418 0.993996i \(-0.534899\pi\)
−0.442786 + 0.896627i \(0.646010\pi\)
\(38\) −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 −0.354658 0.934996i \(-0.615403\pi\)
0.793999 + 0.607919i \(0.207995\pi\)
\(42\) −1.89012 0.298211i −0.291651 0.0460149i
\(43\) −0.158674 2.72433i −0.0241976 0.415457i −0.988556 0.150856i \(-0.951797\pi\)
0.964358 0.264601i \(-0.0852402\pi\)
\(44\) −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 −0.930628 0.365966i \(-0.880739\pi\)
−0.667394 + 0.744705i \(0.732590\pi\)
\(48\) −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 −0.380622 0.924731i \(-0.624290\pi\)
0.991151 0.132737i \(-0.0423765\pi\)
\(54\) 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 0.986841 + 0.161695i \(0.0516960\pi\)
−0.459601 + 0.888125i \(0.652008\pi\)
\(60\) 1.88612 + 1.19979i 0.243497 + 0.154892i
\(61\) 14.6772 + 4.39406i 1.87922 + 0.562602i 0.995520 + 0.0945474i \(0.0301404\pi\)
0.883700 + 0.468054i \(0.155045\pi\)
\(62\) −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 −0.683046 0.730375i \(-0.739345\pi\)
−0.496198 + 0.868209i \(0.665271\pi\)
\(68\) −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 −0.869942 0.493153i \(-0.835844\pi\)
−0.349422 + 0.936966i \(0.613622\pi\)
\(72\) −5.29068 6.63390i −0.623513 0.781813i
\(73\) −1.89260 0.688851i −0.221512 0.0806239i 0.228880 0.973455i \(-0.426494\pi\)
−0.450392 + 0.892831i \(0.648716\pi\)
\(74\) 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 0.574000 0.818855i \(-0.305391\pi\)
−0.619829 + 0.784737i \(0.712798\pi\)
\(80\) −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 0.618128 0.786078i \(-0.287891\pi\)
−0.575773 + 0.817609i \(0.695299\pi\)
\(84\) 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 0.635494 + 0.772106i \(0.280797\pi\)
−0.983117 + 0.182980i \(0.941426\pi\)
\(90\) 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 −0.0486604 0.998815i \(-0.515495\pi\)
0.897855 + 0.440291i \(0.145125\pi\)
\(98\) −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 −0.539362 0.842074i \(-0.681335\pi\)
0.913358 0.407158i \(-0.133480\pi\)
\(102\) −13.5027 0.542134i −1.33697 0.0536792i
\(103\) 1.28050 + 2.54968i 0.126171 + 0.251228i 0.947846 0.318729i \(-0.103256\pi\)
−0.821674 + 0.569957i \(0.806960\pi\)
\(104\) 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 0.307375 0.951588i \(-0.400549\pi\)
0.977787 + 0.209600i \(0.0672160\pi\)
\(108\) −8.99373 5.20699i −0.865422 0.501043i
\(109\) −7.66290 4.42418i −0.733973 0.423759i 0.0859012 0.996304i \(-0.472623\pi\)
−0.819874 + 0.572544i \(0.805956\pi\)
\(110\) −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 0.553984 0.832527i \(-0.313107\pi\)
0.453588 + 0.891212i \(0.350144\pi\)
\(114\) 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 0.156925 0.987611i \(-0.449842\pi\)
0.485244 + 0.874379i \(0.338731\pi\)
\(128\) −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 −0.706081 0.708131i \(-0.749538\pi\)
0.948786 0.315921i \(-0.102313\pi\)
\(132\) 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 −0.0209802 0.999780i \(-0.506679\pi\)
0.712816 + 0.701351i \(0.247419\pi\)
\(138\) −5.42568 0.535101i −0.461864 0.0455509i
\(139\) −4.11256 + 4.35906i −0.348823 + 0.369731i −0.877901 0.478843i \(-0.841056\pi\)
0.529078 + 0.848573i \(0.322538\pi\)
\(140\) −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 −0.999753 0.0222403i \(-0.992920\pi\)
0.702249 + 0.711932i \(0.252179\pi\)
\(150\) −5.43732 + 9.82299i −0.443956 + 0.802044i
\(151\) 6.44346 12.8300i 0.524362 1.04409i −0.463111 0.886300i \(-0.653267\pi\)
0.987473 0.157790i \(-0.0504368\pi\)
\(152\) −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 0.218329 + 0.975875i \(0.429939\pi\)
−0.982540 + 0.186051i \(0.940431\pi\)
\(158\) 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 0.594937 0.803773i \(-0.297177\pi\)
−0.502394 + 0.864639i \(0.667547\pi\)
\(168\) 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 0.480407 0.877046i \(-0.340489\pi\)
−0.416620 + 0.909081i \(0.636785\pi\)
\(174\) −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 −0.777941 0.628337i \(-0.783736\pi\)
0.753879 + 0.657013i \(0.228180\pi\)
\(180\) −2.87422 + 2.59417i −0.214231 + 0.193358i
\(181\) −0.834188 0.994146i −0.0620047 0.0738943i 0.734151 0.678987i \(-0.237581\pi\)
−0.796155 + 0.605092i \(0.793136\pi\)
\(182\) −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 −0.496282 0.868161i \(-0.665302\pi\)
−0.683117 + 0.730309i \(0.739376\pi\)
\(192\) −11.5469 + 7.65960i −0.833325 + 0.552784i
\(193\) −12.5111 2.96518i −0.900567 0.213438i −0.245846 0.969309i \(-0.579066\pi\)
−0.654721 + 0.755871i \(0.727214\pi\)
\(194\) −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 −0.944808 0.327626i \(-0.893751\pi\)
0.775774 0.631011i \(-0.217360\pi\)
\(198\) 1.66488 21.4583i 0.118318 1.52497i
\(199\) −12.8743 2.27009i −0.912638 0.160923i −0.302437 0.953169i \(-0.597800\pi\)
−0.610201 + 0.792247i \(0.708911\pi\)
\(200\) −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 −0.999909 0.0135031i \(-0.995702\pi\)
0.994715 + 0.102671i \(0.0327387\pi\)
\(212\) −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 0.0101254 0.999949i \(-0.496777\pi\)
−0.541021 + 0.841009i \(0.681962\pi\)
\(224\) −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 0.953202 0.302335i \(-0.0977660\pi\)
−0.655153 + 0.755497i \(0.727396\pi\)
\(228\) −0.426656 + 0.369220i −0.0282560 + 0.0244522i
\(229\) 2.67831 + 22.9144i 0.176988 + 1.51423i 0.731380 + 0.681971i \(0.238877\pi\)
−0.554392 + 0.832256i \(0.687049\pi\)
\(230\) −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 0.971290 0.237898i \(-0.0764584\pi\)
−0.896969 + 0.442093i \(0.854236\pi\)
\(234\) 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 0.908991 + 0.416815i \(0.136854\pi\)
−0.530408 + 0.847743i \(0.677961\pi\)
\(240\) 1.24116 4.29503i 0.0801168 0.277243i
\(241\) −0.654766 + 0.879504i −0.0421772 + 0.0566538i −0.822711 0.568459i \(-0.807540\pi\)
0.780534 + 0.625113i \(0.214947\pi\)
\(242\) 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 0.538417 + 0.842678i \(0.319022\pi\)
−0.954115 + 0.299441i \(0.903200\pi\)
\(252\) 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 −0.874135 0.485683i \(-0.838571\pi\)
0.738566 0.674181i \(-0.235503\pi\)
\(258\) −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 0.329956 + 0.943996i \(0.392966\pi\)
−0.794409 + 0.607383i \(0.792219\pi\)
\(264\) 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 0.696692 + 0.717370i \(0.254654\pi\)
0.272915 + 0.962038i \(0.412012\pi\)
\(270\) −2.12132 + 4.24101i −0.129100 + 0.258100i
\(271\) 0.670077 + 0.386869i 0.0407043 + 0.0235006i 0.520214 0.854036i \(-0.325852\pi\)
−0.479510 + 0.877537i \(0.659185\pi\)
\(272\) −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 0.983287 + 0.182061i \(0.0582769\pi\)
−0.796989 + 0.603994i \(0.793575\pi\)
\(278\) −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 −0.368724 0.929539i \(-0.620205\pi\)
−0.258318 + 0.966060i \(0.583168\pi\)
\(282\) 21.4431 + 17.3431i 1.27692 + 1.03277i
\(283\) −6.12021 8.22086i −0.363808 0.488680i 0.582098 0.813118i \(-0.302232\pi\)
−0.945907 + 0.324439i \(0.894825\pi\)
\(284\) 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 0.663921 0.747802i \(-0.268891\pi\)
0.257689 + 0.966228i \(0.417039\pi\)
\(294\) 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 0.828706 0.559684i \(-0.189078\pi\)
−0.407278 + 0.913304i \(0.633522\pi\)
\(308\) −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 −0.933228 0.359285i \(-0.883021\pi\)
0.901754 + 0.432249i \(0.142280\pi\)
\(312\) −9.49669 + 5.64106i −0.537644 + 0.319362i
\(313\) −26.2179 13.1671i −1.48192 0.744249i −0.490074 0.871681i \(-0.663030\pi\)
−0.991847 + 0.127432i \(0.959326\pi\)
\(314\) −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 0.0740476 0.997255i \(-0.476408\pi\)
−0.999873 + 0.0159371i \(0.994927\pi\)
\(318\) −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 0.411279 0.911510i \(-0.365082\pi\)
−0.933881 + 0.357583i \(0.883601\pi\)
\(332\) 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 0.580231 + 0.814452i \(0.302962\pi\)
−0.990590 + 0.136866i \(0.956297\pi\)
\(338\) 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 0.954135 0.299376i \(-0.0967786\pi\)
−0.243392 + 0.969928i \(0.578260\pi\)
\(348\) 30.1116 + 3.05564i 1.61415 + 0.163800i
\(349\) −11.5535 + 4.98368i −0.618443 + 0.266770i −0.682166 0.731198i \(-0.738962\pi\)
0.0637232 + 0.997968i \(0.479703\pi\)
\(350\) 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 −0.999998 0.00201928i \(-0.999357\pi\)
0.973509 + 0.228651i \(0.0734313\pi\)
\(354\) 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 −0.962956 0.269658i \(-0.913089\pi\)
0.812654 0.582746i \(-0.198022\pi\)
\(360\) −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 0.198685 0.980063i \(-0.436333\pi\)
0.311120 + 0.950371i \(0.399296\pi\)
\(368\) −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 −0.625171 0.780488i \(-0.714971\pi\)
−0.711553 + 0.702632i \(0.752008\pi\)
\(374\) 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 0.994247 0.107109i \(-0.0341595\pi\)
−0.589883 + 0.807489i \(0.700826\pi\)
\(380\) 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 −0.997337 0.0729241i \(-0.976767\pi\)
−0.537075 + 0.843535i \(0.680471\pi\)
\(384\) 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 −0.204065 0.978957i \(-0.565416\pi\)
0.818068 + 0.575121i \(0.195045\pi\)
\(390\) 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 0.645376 + 0.763865i \(0.276701\pi\)
−0.985390 + 0.170315i \(0.945521\pi\)
\(398\) 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 0.338385 0.941008i \(-0.390119\pi\)
0.799809 + 0.600255i \(0.204934\pi\)
\(402\) 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 0.920240 + 0.391355i \(0.127993\pi\)
−0.553796 + 0.832652i \(0.686821\pi\)
\(410\) −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 −0.968710 0.248196i \(-0.920162\pi\)
0.885360 0.464906i \(-0.153912\pi\)
\(420\) 1.71490 0.329377i 0.0836784 0.0160720i
\(421\) −6.92976 10.5362i −0.337736 0.513502i 0.626191 0.779670i \(-0.284613\pi\)
−0.963927 + 0.266167i \(0.914243\pi\)
\(422\) −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 −0.986351 0.164654i \(-0.947349\pi\)
0.350581 0.936532i \(-0.385984\pi\)
\(432\) −4.93178 + 20.1910i −0.237280 + 0.971441i
\(433\) 12.8921 22.3298i 0.619555 1.07310i −0.370012 0.929027i \(-0.620646\pi\)
0.989567 0.144074i \(-0.0460202\pi\)
\(434\) −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 0.990762 0.135612i \(-0.0433000\pi\)
−0.946240 + 0.323466i \(0.895152\pi\)
\(440\) 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 −0.660488 0.750836i \(-0.729651\pi\)
−0.568856 + 0.822437i \(0.692614\pi\)
\(444\) −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 −0.197387 0.980326i \(-0.563246\pi\)
−0.520774 + 0.853694i \(0.674357\pi\)
\(450\) −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 0.332966 0.942939i \(-0.391950\pi\)
0.106535 + 0.994309i \(0.466025\pi\)
\(458\) −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 0.961712 + 0.274063i \(0.0883677\pi\)
−0.460620 + 0.887597i \(0.652373\pi\)
\(462\) −5.65521 + 7.88965i −0.263104 + 0.367060i
\(463\) −15.3869 14.5168i −0.715090 0.674653i 0.240066 0.970757i \(-0.422831\pi\)
−0.955156 + 0.296104i \(0.904312\pi\)
\(464\) −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 0.851225 0.524802i \(-0.175860\pi\)
−0.664642 + 0.747162i \(0.731416\pi\)
\(468\) −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 0.415583 0.909555i \(-0.363578\pi\)
−0.932180 + 0.361994i \(0.882096\pi\)
\(480\) 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 \(-0.801656\pi\)
0.812064 0.583568i \(-0.198344\pi\)
\(488\) 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 0.189426 0.981895i \(-0.439337\pi\)
0.826564 0.562843i \(-0.190292\pi\)
\(492\) 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 0.590099 + 0.807331i \(0.299089\pi\)
−0.992182 + 0.124801i \(0.960171\pi\)
\(500\) −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 −0.998675 0.0514538i \(-0.983615\pi\)
−0.224090 0.974568i \(-0.571941\pi\)
\(504\) −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 0.0459500 + 0.998944i \(0.485369\pi\)
−0.999925 + 0.0122112i \(0.996113\pi\)
\(510\) −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 0.270592 0.962694i \(-0.412781\pi\)
0.583534 + 0.812089i \(0.301669\pi\)
\(522\) 35.7093 9.94569i 1.56295 0.435311i
\(523\) −0.685610 + 3.88829i −0.0299796 + 0.170023i −0.996121 0.0879885i \(-0.971956\pi\)
0.966142 + 0.258011i \(0.0830672\pi\)
\(524\) −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 −0.491480 0.870889i \(-0.663544\pi\)
0.508472 + 0.861078i \(0.330210\pi\)
\(542\) −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 −0.898250 0.439485i \(-0.855161\pi\)
0.991978 + 0.126412i \(0.0403462\pi\)
\(548\) −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 −0.571807 0.820388i \(-0.693757\pi\)
0.0893059 + 0.996004i \(0.471535\pi\)
\(558\) 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 −0.162831 0.986654i \(-0.552063\pi\)
0.406132 + 0.913815i \(0.366877\pi\)
\(564\) −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 −0.149428 0.988773i \(-0.547743\pi\)
−0.990090 + 0.140432i \(0.955151\pi\)
\(570\) 0.180029 + 0.184048i 0.00754058 + 0.00770893i
\(571\) 11.6495 + 38.9121i 0.487517 + 1.62842i 0.748542 + 0.663087i \(0.230754\pi\)
−0.261025 + 0.965332i \(0.584061\pi\)
\(572\) −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 −0.733059 0.680165i \(-0.761908\pi\)
−0.124354 + 0.992238i \(0.539686\pi\)
\(578\) 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 −0.105950 0.994371i \(-0.533788\pi\)
−0.634936 + 0.772565i \(0.718973\pi\)
\(588\) −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 0.306385 0.951908i \(-0.400880\pi\)
0.977569 + 0.210617i \(0.0675471\pi\)
\(594\) 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 0.981158 + 0.193207i \(0.0618888\pi\)
−0.996954 + 0.0779947i \(0.975148\pi\)
\(600\) 21.9122 + 4.90714i 0.894560 + 0.200333i
\(601\) 24.3133 5.76236i 0.991761 0.235052i 0.297458 0.954735i \(-0.403861\pi\)
0.694303 + 0.719683i \(0.255713\pi\)
\(602\) 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 −0.138023 0.990429i \(-0.544075\pi\)
0.909235 + 0.416283i \(0.136667\pi\)
\(608\) 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 −0.769378 0.638793i \(-0.779434\pi\)
−0.504499 + 0.863412i \(0.668323\pi\)
\(614\) −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 −0.874999 0.484125i \(-0.839138\pi\)
0.999202 0.0399307i \(-0.0127137\pi\)
\(618\) 3.02334 6.30101i 0.121616 0.253464i
\(619\) 32.1310 + 3.75557i 1.29145 + 0.150949i 0.733937 0.679217i \(-0.237680\pi\)
0.557516 + 0.830166i \(0.311755\pi\)
\(620\) 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 −0.934397 0.356234i \(-0.884061\pi\)
0.513078 + 0.858342i \(0.328505\pi\)
\(632\) −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 −0.960365 0.278744i \(-0.910082\pi\)
0.222432 + 0.974948i \(0.428600\pi\)
\(642\) −34.7887 14.2673i −1.37300 0.563085i
\(643\) 0.184735 + 0.121502i 0.00728524 + 0.00479158i 0.553146 0.833084i \(-0.313427\pi\)
−0.545861 + 0.837876i \(0.683797\pi\)
\(644\) −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 −0.136813 0.990597i \(-0.543686\pi\)
−0.963771 + 0.266732i \(0.914056\pi\)
\(654\) 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 0.296136 + 0.955146i \(0.404302\pi\)
−0.942985 + 0.332836i \(0.891995\pi\)
\(660\) 9.73329 5.81886i 0.378868 0.226499i
\(661\) 2.29046 + 0.988007i 0.0890885 + 0.0384290i 0.440158 0.897921i \(-0.354923\pi\)
−0.351069 + 0.936350i \(0.614182\pi\)
\(662\) 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 0.733437 0.679758i \(-0.237915\pi\)
−0.997753 + 0.0670043i \(0.978656\pi\)
\(674\) −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 −0.121180 0.992631i \(-0.538668\pi\)
−0.346830 + 0.937928i \(0.612742\pi\)
\(678\) −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 0.346176 0.938170i \(-0.387480\pi\)
0.646172 + 0.763192i \(0.276369\pi\)
\(684\) −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 −0.998921 0.0464363i \(-0.985214\pi\)
0.986776 0.162090i \(-0.0518235\pi\)
\(692\) 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 −0.757732 0.652566i \(-0.773692\pi\)
0.944005 + 0.329932i \(0.107026\pi\)
\(702\) −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 0.388643 0.921389i \(-0.372944\pi\)
−0.181605 + 0.983372i \(0.558129\pi\)
\(710\) 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 −0.375380 0.926871i \(-0.622488\pi\)
0.308224 + 0.951314i \(0.400265\pi\)
\(720\) 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 0.200381 0.979718i \(-0.435782\pi\)
−0.881090 + 0.472949i \(0.843190\pi\)
\(728\) 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 −0.541193 0.840898i \(-0.682027\pi\)
0.00992064 + 0.999951i \(0.496842\pi\)
\(734\) −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 −0.672965 0.739674i \(-0.734980\pi\)
−0.0400680 + 0.999197i \(0.512757\pi\)
\(740\) −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 0.178732 0.983898i \(-0.442800\pi\)
0.400817 + 0.916158i \(0.368726\pi\)
\(744\) −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 0.754892 0.655849i \(-0.227689\pi\)
−0.976862 + 0.213871i \(0.931393\pi\)
\(752\) 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 0.805608 0.592450i \(-0.201839\pi\)
−0.110273 + 0.993901i \(0.535172\pi\)
\(758\) −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 −0.845167 0.534503i \(-0.820499\pi\)
−0.901504 + 0.432771i \(0.857536\pi\)
\(762\) −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 0.916959 0.398981i \(-0.130636\pi\)
−0.645207 + 0.764008i \(0.723229\pi\)
\(770\) 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