Properties

Label 576.2.bm.a.205.26
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.26
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.26

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.929939 - 1.06546i) q^{2} +(1.69568 + 0.353101i) q^{3} +(-0.270427 + 1.98163i) q^{4} +(2.09702 + 2.39119i) q^{5} +(-1.20066 - 2.13504i) q^{6} +(1.56439 + 0.205956i) q^{7} +(2.36284 - 1.55467i) q^{8} +(2.75064 + 1.19749i) q^{9} +O(q^{10})\) \(q+(-0.929939 - 1.06546i) q^{2} +(1.69568 + 0.353101i) q^{3} +(-0.270427 + 1.98163i) q^{4} +(2.09702 + 2.39119i) q^{5} +(-1.20066 - 2.13504i) q^{6} +(1.56439 + 0.205956i) q^{7} +(2.36284 - 1.55467i) q^{8} +(2.75064 + 1.19749i) q^{9} +(0.597629 - 4.45796i) q^{10} +(-1.23600 - 2.50637i) q^{11} +(-1.15827 + 3.26472i) q^{12} +(-1.88256 - 5.54586i) q^{13} +(-1.23535 - 1.85833i) q^{14} +(2.71153 + 4.79514i) q^{15} +(-3.85374 - 1.07177i) q^{16} +(1.62739 + 1.62739i) q^{17} +(-1.28205 - 4.04430i) q^{18} +(-0.537468 + 2.70203i) q^{19} +(-5.30555 + 3.50888i) q^{20} +(2.57998 + 0.901622i) q^{21} +(-1.52104 + 3.64769i) q^{22} +(0.443102 + 3.36570i) q^{23} +(4.55557 - 1.80189i) q^{24} +(-0.667677 + 5.07151i) q^{25} +(-4.15824 + 7.16311i) q^{26} +(4.24136 + 3.00181i) q^{27} +(-0.831182 + 3.04435i) q^{28} +(9.16573 - 0.600754i) q^{29} +(2.58749 - 7.34823i) q^{30} +(-2.25915 + 1.30432i) q^{31} +(2.44181 + 5.10270i) q^{32} +(-1.21086 - 4.68643i) q^{33} +(0.220552 - 3.24730i) q^{34} +(2.78807 + 4.17265i) q^{35} +(-3.11683 + 5.12693i) q^{36} +(-1.63665 - 8.22802i) q^{37} +(3.37873 - 1.94007i) q^{38} +(-1.23398 - 10.0687i) q^{39} +(8.67242 + 2.38983i) q^{40} +(0.727321 + 5.52455i) q^{41} +(-1.43858 - 3.58733i) q^{42} +(-5.29312 + 2.61028i) q^{43} +(5.30095 - 1.77152i) q^{44} +(2.90472 + 9.08846i) q^{45} +(3.17397 - 3.60200i) q^{46} +(-7.82857 + 2.09766i) q^{47} +(-6.15625 - 3.17814i) q^{48} +(-4.35658 - 1.16734i) q^{49} +(6.02441 - 4.00481i) q^{50} +(2.18490 + 3.33416i) q^{51} +(11.4989 - 2.23080i) q^{52} +(-7.10793 + 10.6378i) q^{53} +(-0.745891 - 7.31052i) q^{54} +(3.40128 - 8.21142i) q^{55} +(4.01660 - 1.94547i) q^{56} +(-1.86546 + 4.39199i) q^{57} +(-9.16365 - 9.20709i) q^{58} +(-1.06846 - 1.21834i) q^{59} +(-10.2355 + 4.07653i) q^{60} +(-0.437283 - 6.67164i) q^{61} +(3.49058 + 1.19411i) q^{62} +(4.05644 + 2.43985i) q^{63} +(3.16602 - 7.34686i) q^{64} +(9.31343 - 16.1313i) q^{65} +(-3.86719 + 5.64822i) q^{66} +(3.49855 + 1.72529i) q^{67} +(-3.66498 + 2.78480i) q^{68} +(-0.437071 + 5.86359i) q^{69} +(1.85307 - 6.85090i) q^{70} +(-6.37014 - 15.3789i) q^{71} +(8.36102 - 1.44686i) q^{72} +(1.67404 - 4.04149i) q^{73} +(-7.24467 + 9.39535i) q^{74} +(-2.92292 + 8.36389i) q^{75} +(-5.20909 - 1.79577i) q^{76} +(-1.41739 - 4.17550i) q^{77} +(-9.58033 + 10.6780i) q^{78} +(-1.87262 - 6.98870i) q^{79} +(-5.51854 - 11.4626i) q^{80} +(6.13204 + 6.58772i) q^{81} +(5.20985 - 5.91243i) q^{82} +(-0.218423 - 0.191552i) q^{83} +(-2.48438 + 4.86875i) q^{84} +(-0.478734 + 7.30407i) q^{85} +(7.70344 + 3.21223i) q^{86} +(15.7542 + 2.21774i) q^{87} +(-6.81705 - 4.00057i) q^{88} +(-4.02787 + 1.66840i) q^{89} +(6.98222 - 11.5466i) q^{90} +(-1.80286 - 9.06361i) q^{91} +(-6.78940 - 0.0321087i) q^{92} +(-4.29135 + 1.41400i) q^{93} +(9.51507 + 6.39036i) q^{94} +(-7.58816 + 4.38102i) q^{95} +(2.33875 + 9.51474i) q^{96} +(7.36312 + 4.25110i) q^{97} +(2.80759 + 5.72734i) q^{98} +(-0.398453 - 8.37422i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.929939 1.06546i −0.657566 0.753397i
\(3\) 1.69568 + 0.353101i 0.978999 + 0.203863i
\(4\) −0.270427 + 1.98163i −0.135213 + 0.990816i
\(5\) 2.09702 + 2.39119i 0.937815 + 1.06937i 0.997465 + 0.0711536i \(0.0226680\pi\)
−0.0596505 + 0.998219i \(0.518999\pi\)
\(6\) −1.20066 2.13504i −0.490167 0.871628i
\(7\) 1.56439 + 0.205956i 0.591284 + 0.0778440i 0.420230 0.907418i \(-0.361949\pi\)
0.171054 + 0.985262i \(0.445283\pi\)
\(8\) 2.36284 1.55467i 0.835390 0.549658i
\(9\) 2.75064 + 1.19749i 0.916880 + 0.399163i
\(10\) 0.597629 4.45796i 0.188987 1.40973i
\(11\) −1.23600 2.50637i −0.372669 0.755699i 0.627060 0.778971i \(-0.284258\pi\)
−0.999729 + 0.0232724i \(0.992591\pi\)
\(12\) −1.15827 + 3.26472i −0.334364 + 0.942444i
\(13\) −1.88256 5.54586i −0.522129 1.53814i −0.813519 0.581539i \(-0.802451\pi\)
0.291389 0.956605i \(-0.405883\pi\)
\(14\) −1.23535 1.85833i −0.330161 0.496659i
\(15\) 2.71153 + 4.79514i 0.700115 + 1.23810i
\(16\) −3.85374 1.07177i −0.963435 0.267943i
\(17\) 1.62739 + 1.62739i 0.394700 + 0.394700i 0.876359 0.481659i \(-0.159965\pi\)
−0.481659 + 0.876359i \(0.659965\pi\)
\(18\) −1.28205 4.04430i −0.302181 0.953251i
\(19\) −0.537468 + 2.70203i −0.123304 + 0.619889i 0.868872 + 0.495037i \(0.164846\pi\)
−0.992175 + 0.124852i \(0.960154\pi\)
\(20\) −5.30555 + 3.50888i −1.18636 + 0.784609i
\(21\) 2.57998 + 0.901622i 0.562997 + 0.196750i
\(22\) −1.52104 + 3.64769i −0.324286 + 0.777690i
\(23\) 0.443102 + 3.36570i 0.0923932 + 0.701796i 0.973469 + 0.228820i \(0.0734868\pi\)
−0.881075 + 0.472976i \(0.843180\pi\)
\(24\) 4.55557 1.80189i 0.929901 0.367810i
\(25\) −0.667677 + 5.07151i −0.133535 + 1.01430i
\(26\) −4.15824 + 7.16311i −0.815498 + 1.40480i
\(27\) 4.24136 + 3.00181i 0.816251 + 0.577698i
\(28\) −0.831182 + 3.04435i −0.157079 + 0.575328i
\(29\) 9.16573 0.600754i 1.70203 0.111557i 0.816865 0.576828i \(-0.195710\pi\)
0.885168 + 0.465271i \(0.154043\pi\)
\(30\) 2.58749 7.34823i 0.472409 1.34160i
\(31\) −2.25915 + 1.30432i −0.405756 + 0.234263i −0.688965 0.724795i \(-0.741934\pi\)
0.283209 + 0.959058i \(0.408601\pi\)
\(32\) 2.44181 + 5.10270i 0.431654 + 0.902039i
\(33\) −1.21086 4.68643i −0.210784 0.815802i
\(34\) 0.220552 3.24730i 0.0378244 0.556907i
\(35\) 2.78807 + 4.17265i 0.471271 + 0.705306i
\(36\) −3.11683 + 5.12693i −0.519472 + 0.854488i
\(37\) −1.63665 8.22802i −0.269064 1.35268i −0.844818 0.535054i \(-0.820291\pi\)
0.575753 0.817623i \(-0.304709\pi\)
\(38\) 3.37873 1.94007i 0.548103 0.314721i
\(39\) −1.23398 10.0687i −0.197594 1.61228i
\(40\) 8.67242 + 2.38983i 1.37123 + 0.377866i
\(41\) 0.727321 + 5.52455i 0.113588 + 0.862790i 0.949465 + 0.313873i \(0.101626\pi\)
−0.835877 + 0.548917i \(0.815040\pi\)
\(42\) −1.43858 3.58733i −0.221977 0.553536i
\(43\) −5.29312 + 2.61028i −0.807194 + 0.398064i −0.798572 0.601899i \(-0.794411\pi\)
−0.00862160 + 0.999963i \(0.502744\pi\)
\(44\) 5.30095 1.77152i 0.799149 0.267066i
\(45\) 2.90472 + 9.08846i 0.433010 + 1.35483i
\(46\) 3.17397 3.60200i 0.467976 0.531086i
\(47\) −7.82857 + 2.09766i −1.14191 + 0.305975i −0.779720 0.626128i \(-0.784639\pi\)
−0.362194 + 0.932103i \(0.617972\pi\)
\(48\) −6.15625 3.17814i −0.888578 0.458725i
\(49\) −4.35658 1.16734i −0.622369 0.166763i
\(50\) 6.02441 4.00481i 0.851981 0.566366i
\(51\) 2.18490 + 3.33416i 0.305947 + 0.466876i
\(52\) 11.4989 2.23080i 1.59462 0.309357i
\(53\) −7.10793 + 10.6378i −0.976349 + 1.46121i −0.0912385 + 0.995829i \(0.529083\pi\)
−0.885111 + 0.465381i \(0.845917\pi\)
\(54\) −0.745891 7.31052i −0.101503 0.994835i
\(55\) 3.40128 8.21142i 0.458629 1.10723i
\(56\) 4.01660 1.94547i 0.536740 0.259974i
\(57\) −1.86546 + 4.39199i −0.247086 + 0.581734i
\(58\) −9.16365 9.20709i −1.20325 1.20895i
\(59\) −1.06846 1.21834i −0.139101 0.158614i 0.678095 0.734975i \(-0.262806\pi\)
−0.817196 + 0.576360i \(0.804473\pi\)
\(60\) −10.2355 + 4.07653i −1.32140 + 0.526278i
\(61\) −0.437283 6.67164i −0.0559883 0.854216i −0.929826 0.367999i \(-0.880043\pi\)
0.873838 0.486217i \(-0.161624\pi\)
\(62\) 3.49058 + 1.19411i 0.443305 + 0.151652i
\(63\) 4.05644 + 2.43985i 0.511064 + 0.307392i
\(64\) 3.16602 7.34686i 0.395752 0.918357i
\(65\) 9.31343 16.1313i 1.15519 2.00084i
\(66\) −3.86719 + 5.64822i −0.476018 + 0.695248i
\(67\) 3.49855 + 1.72529i 0.427416 + 0.210778i 0.643257 0.765650i \(-0.277583\pi\)
−0.215841 + 0.976428i \(0.569249\pi\)
\(68\) −3.66498 + 2.78480i −0.444444 + 0.337707i
\(69\) −0.437071 + 5.86359i −0.0526172 + 0.705894i
\(70\) 1.85307 6.85090i 0.221484 0.818839i
\(71\) −6.37014 15.3789i −0.755996 1.82514i −0.522127 0.852868i \(-0.674861\pi\)
−0.233870 0.972268i \(-0.575139\pi\)
\(72\) 8.36102 1.44686i 0.985355 0.170514i
\(73\) 1.67404 4.04149i 0.195932 0.473021i −0.795128 0.606442i \(-0.792596\pi\)
0.991059 + 0.133421i \(0.0425963\pi\)
\(74\) −7.24467 + 9.39535i −0.842175 + 1.09219i
\(75\) −2.92292 + 8.36389i −0.337510 + 0.965779i
\(76\) −5.20909 1.79577i −0.597524 0.205989i
\(77\) −1.41739 4.17550i −0.161527 0.475843i
\(78\) −9.58033 + 10.6780i −1.08476 + 1.20905i
\(79\) −1.87262 6.98870i −0.210686 0.786290i −0.987641 0.156734i \(-0.949904\pi\)
0.776955 0.629556i \(-0.216763\pi\)
\(80\) −5.51854 11.4626i −0.616992 1.28155i
\(81\) 6.13204 + 6.58772i 0.681338 + 0.731969i
\(82\) 5.20985 5.91243i 0.575331 0.652919i
\(83\) −0.218423 0.191552i −0.0239750 0.0210255i 0.647274 0.762257i \(-0.275909\pi\)
−0.671250 + 0.741231i \(0.734242\pi\)
\(84\) −2.48438 + 4.86875i −0.271068 + 0.531224i
\(85\) −0.478734 + 7.30407i −0.0519260 + 0.792238i
\(86\) 7.70344 + 3.21223i 0.830684 + 0.346384i
\(87\) 15.7542 + 2.21774i 1.68903 + 0.237767i
\(88\) −6.81705 4.00057i −0.726700 0.426462i
\(89\) −4.02787 + 1.66840i −0.426954 + 0.176850i −0.585804 0.810453i \(-0.699221\pi\)
0.158850 + 0.987303i \(0.449221\pi\)
\(90\) 6.98222 11.5466i 0.735990 1.21712i
\(91\) −1.80286 9.06361i −0.188991 0.950124i
\(92\) −6.78940 0.0321087i −0.707844 0.00334756i
\(93\) −4.29135 + 1.41400i −0.444992 + 0.146625i
\(94\) 9.51507 + 6.39036i 0.981405 + 0.659116i
\(95\) −7.58816 + 4.38102i −0.778528 + 0.449484i
\(96\) 2.33875 + 9.51474i 0.238697 + 0.971094i
\(97\) 7.36312 + 4.25110i 0.747611 + 0.431633i 0.824830 0.565381i \(-0.191271\pi\)
−0.0772190 + 0.997014i \(0.524604\pi\)
\(98\) 2.80759 + 5.72734i 0.283610 + 0.578549i
\(99\) −0.398453 8.37422i −0.0400461 0.841641i
\(100\) −9.86932 2.69457i −0.986932 0.269457i
\(101\) 15.1883 + 5.15573i 1.51129 + 0.513015i 0.949366 0.314172i \(-0.101727\pi\)
0.561927 + 0.827187i \(0.310060\pi\)
\(102\) 1.52061 5.42850i 0.150563 0.537501i
\(103\) −11.1486 8.55460i −1.09850 0.842910i −0.109971 0.993935i \(-0.535076\pi\)
−0.988530 + 0.151025i \(0.951743\pi\)
\(104\) −13.0702 10.1772i −1.28163 0.997957i
\(105\) 3.25431 + 8.05993i 0.317588 + 0.786569i
\(106\) 17.9441 2.31923i 1.74288 0.225264i
\(107\) 12.5558 + 8.38951i 1.21381 + 0.811045i 0.986657 0.162813i \(-0.0520567\pi\)
0.227158 + 0.973858i \(0.427057\pi\)
\(108\) −7.09546 + 7.59305i −0.682761 + 0.730642i
\(109\) −0.850894 + 4.27774i −0.0815009 + 0.409733i 0.918400 + 0.395653i \(0.129482\pi\)
−0.999901 + 0.0140795i \(0.995518\pi\)
\(110\) −11.9120 + 4.01218i −1.13576 + 0.382546i
\(111\) 0.130081 14.5300i 0.0123467 1.37912i
\(112\) −5.80801 2.47037i −0.548806 0.233428i
\(113\) 1.47842 + 0.396141i 0.139078 + 0.0372658i 0.327686 0.944787i \(-0.393731\pi\)
−0.188609 + 0.982052i \(0.560398\pi\)
\(114\) 6.41428 2.09671i 0.600752 0.196374i
\(115\) −7.11883 + 8.11747i −0.663834 + 0.756958i
\(116\) −1.28819 + 18.3256i −0.119605 + 1.70149i
\(117\) 1.46284 17.5090i 0.135240 1.61871i
\(118\) −0.304499 + 2.27138i −0.0280314 + 0.209098i
\(119\) 2.21070 + 2.88105i 0.202655 + 0.264105i
\(120\) 13.8618 + 7.11462i 1.26540 + 0.649473i
\(121\) 1.94220 2.53112i 0.176563 0.230102i
\(122\) −6.70175 + 6.67013i −0.606748 + 0.603885i
\(123\) −0.717421 + 9.62467i −0.0646877 + 0.867827i
\(124\) −1.97375 4.82954i −0.177248 0.433705i
\(125\) −0.304840 + 0.203688i −0.0272657 + 0.0182184i
\(126\) −1.17267 6.59091i −0.104470 0.587165i
\(127\) −11.5478 −1.02470 −0.512349 0.858777i \(-0.671225\pi\)
−0.512349 + 0.858777i \(0.671225\pi\)
\(128\) −10.7720 + 3.45885i −0.952121 + 0.305722i
\(129\) −9.89712 + 2.55719i −0.871393 + 0.225148i
\(130\) −25.8483 + 5.07803i −2.26704 + 0.445373i
\(131\) −4.17408 2.05843i −0.364691 0.179846i 0.250705 0.968063i \(-0.419337\pi\)
−0.615397 + 0.788218i \(0.711004\pi\)
\(132\) 9.61423 1.13215i 0.836811 0.0985411i
\(133\) −1.39731 + 4.11634i −0.121162 + 0.356932i
\(134\) −1.41520 5.33200i −0.122255 0.460614i
\(135\) 1.71632 + 16.4367i 0.147717 + 1.41465i
\(136\) 6.37532 + 1.31521i 0.546679 + 0.112778i
\(137\) −6.73149 8.77265i −0.575110 0.749498i 0.411711 0.911314i \(-0.364931\pi\)
−0.986821 + 0.161817i \(0.948265\pi\)
\(138\) 6.65390 4.98710i 0.566417 0.424530i
\(139\) −5.18069 0.339561i −0.439421 0.0288012i −0.155912 0.987771i \(-0.549832\pi\)
−0.283508 + 0.958970i \(0.591498\pi\)
\(140\) −9.02263 + 4.39654i −0.762551 + 0.371576i
\(141\) −14.0154 + 0.792679i −1.18031 + 0.0667556i
\(142\) −10.4618 + 21.0886i −0.877934 + 1.76971i
\(143\) −11.5731 + 11.5731i −0.967791 + 0.967791i
\(144\) −9.31681 7.56287i −0.776401 0.630239i
\(145\) 20.6572 + 20.6572i 1.71549 + 1.71549i
\(146\) −5.86282 + 1.97471i −0.485210 + 0.163428i
\(147\) −6.97517 3.51775i −0.575302 0.290139i
\(148\) 16.7475 1.01817i 1.37664 0.0836931i
\(149\) 1.33647 20.3906i 0.109488 1.67047i −0.491249 0.871019i \(-0.663460\pi\)
0.600738 0.799446i \(-0.294874\pi\)
\(150\) 11.6296 4.66364i 0.949550 0.380785i
\(151\) −12.1398 + 9.31517i −0.987920 + 0.758057i −0.970329 0.241788i \(-0.922266\pi\)
−0.0175906 + 0.999845i \(0.505600\pi\)
\(152\) 2.93081 + 7.22005i 0.237720 + 0.585624i
\(153\) 2.52758 + 6.42515i 0.204343 + 0.519443i
\(154\) −3.13076 + 5.39314i −0.252284 + 0.434592i
\(155\) −7.85637 2.66688i −0.631039 0.214209i
\(156\) 20.2862 + 0.277564i 1.62420 + 0.0222229i
\(157\) 6.82148 13.8326i 0.544413 1.10396i −0.434687 0.900582i \(-0.643141\pi\)
0.979100 0.203379i \(-0.0651923\pi\)
\(158\) −5.70479 + 8.49426i −0.453848 + 0.675767i
\(159\) −15.8090 + 15.5284i −1.25373 + 1.23148i
\(160\) −7.08103 + 16.5393i −0.559804 + 1.30755i
\(161\) 5.35652i 0.422153i
\(162\) 1.31656 12.6596i 0.103439 0.994636i
\(163\) −4.91152 7.35061i −0.384700 0.575744i 0.587696 0.809082i \(-0.300035\pi\)
−0.972396 + 0.233338i \(0.925035\pi\)
\(164\) −11.1443 0.0527041i −0.870225 0.00411550i
\(165\) 8.66693 12.7229i 0.674720 0.990478i
\(166\) −0.000971504 0.410853i −7.54033e−5 0.0318884i
\(167\) −19.8905 15.2625i −1.53917 1.18105i −0.917476 0.397790i \(-0.869777\pi\)
−0.621696 0.783259i \(-0.713556\pi\)
\(168\) 7.49779 1.88062i 0.578467 0.145093i
\(169\) −16.8989 + 12.9670i −1.29991 + 0.997458i
\(170\) 8.22742 6.28227i 0.631014 0.481828i
\(171\) −4.71404 + 6.78871i −0.360491 + 0.519146i
\(172\) −3.74121 11.1949i −0.285265 0.853605i
\(173\) −3.57122 3.13187i −0.271514 0.238112i 0.512751 0.858538i \(-0.328626\pi\)
−0.784265 + 0.620426i \(0.786960\pi\)
\(174\) −12.2876 18.8479i −0.931518 1.42886i
\(175\) −2.08902 + 7.79631i −0.157915 + 0.589346i
\(176\) 2.07698 + 10.9836i 0.156558 + 0.827921i
\(177\) −1.38156 2.44319i −0.103844 0.183641i
\(178\) 5.52330 + 2.74004i 0.413989 + 0.205375i
\(179\) 22.2250 + 4.42084i 1.66118 + 0.330429i 0.934341 0.356381i \(-0.115989\pi\)
0.726837 + 0.686810i \(0.240989\pi\)
\(180\) −18.7955 + 3.29832i −1.40093 + 0.245842i
\(181\) −0.692116 + 1.03582i −0.0514445 + 0.0769922i −0.856300 0.516478i \(-0.827243\pi\)
0.804856 + 0.593471i \(0.202243\pi\)
\(182\) −7.98039 + 10.3495i −0.591546 + 0.767155i
\(183\) 1.61427 11.4674i 0.119330 0.847691i
\(184\) 6.27952 + 7.26372i 0.462932 + 0.535489i
\(185\) 16.2427 21.1679i 1.19418 1.55629i
\(186\) 5.49726 + 3.25735i 0.403079 + 0.238840i
\(187\) 2.06738 6.09030i 0.151182 0.445367i
\(188\) −2.03973 16.0806i −0.148763 1.17280i
\(189\) 6.01691 + 5.56953i 0.437666 + 0.405124i
\(190\) 11.7243 + 4.01082i 0.850573 + 0.290976i
\(191\) −0.365603 + 0.633244i −0.0264541 + 0.0458199i −0.878949 0.476915i \(-0.841755\pi\)
0.852495 + 0.522735i \(0.175088\pi\)
\(192\) 7.96272 11.3400i 0.574660 0.818392i
\(193\) 8.10138 + 14.0320i 0.583150 + 1.01005i 0.995103 + 0.0988405i \(0.0315134\pi\)
−0.411953 + 0.911205i \(0.635153\pi\)
\(194\) −2.31786 11.7984i −0.166412 0.847075i
\(195\) 21.4885 24.0649i 1.53883 1.72333i
\(196\) 3.49138 8.31746i 0.249384 0.594105i
\(197\) −4.21869 + 0.839150i −0.300569 + 0.0597869i −0.343071 0.939309i \(-0.611467\pi\)
0.0425018 + 0.999096i \(0.486467\pi\)
\(198\) −8.55189 + 8.21205i −0.607757 + 0.583605i
\(199\) 1.09766 + 2.64999i 0.0778111 + 0.187853i 0.957998 0.286774i \(-0.0925830\pi\)
−0.880187 + 0.474627i \(0.842583\pi\)
\(200\) 6.30690 + 13.0212i 0.445965 + 0.920737i
\(201\) 5.32321 + 4.16088i 0.375470 + 0.293486i
\(202\) −8.63095 20.9771i −0.607271 1.47594i
\(203\) 14.4625 + 0.947923i 1.01507 + 0.0665312i
\(204\) −7.19794 + 3.42802i −0.503957 + 0.240009i
\(205\) −11.6850 + 13.3242i −0.816119 + 0.930606i
\(206\) 1.25287 + 19.8337i 0.0872918 + 1.38188i
\(207\) −2.81157 + 9.78843i −0.195418 + 0.680343i
\(208\) 1.31101 + 23.3900i 0.0909021 + 1.62180i
\(209\) 7.43660 1.99263i 0.514401 0.137833i
\(210\) 5.56126 10.9626i 0.383763 0.756491i
\(211\) 3.83463 1.30168i 0.263987 0.0896115i −0.186308 0.982491i \(-0.559652\pi\)
0.450295 + 0.892880i \(0.351319\pi\)
\(212\) −19.1580 16.9620i −1.31578 1.16496i
\(213\) −5.37140 28.3269i −0.368043 1.94093i
\(214\) −2.73740 21.1795i −0.187125 1.44780i
\(215\) −17.3415 7.18307i −1.18268 0.489881i
\(216\) 14.6885 + 0.498879i 0.999424 + 0.0339444i
\(217\) −3.80283 + 1.57518i −0.258153 + 0.106930i
\(218\) 5.34905 3.07144i 0.362284 0.208024i
\(219\) 4.26568 6.26196i 0.288248 0.423144i
\(220\) 15.3522 + 8.96068i 1.03505 + 0.604129i
\(221\) 5.96161 12.0889i 0.401021 0.813190i
\(222\) −15.6021 + 13.3734i −1.04715 + 0.897563i
\(223\) 10.0935 + 5.82747i 0.675909 + 0.390236i 0.798312 0.602244i \(-0.205727\pi\)
−0.122403 + 0.992480i \(0.539060\pi\)
\(224\) 2.76900 + 8.48552i 0.185012 + 0.566963i
\(225\) −7.90962 + 13.1504i −0.527308 + 0.876691i
\(226\) −0.952764 1.94359i −0.0633770 0.129286i
\(227\) −16.4898 + 1.08080i −1.09446 + 0.0717349i −0.601923 0.798554i \(-0.705598\pi\)
−0.492541 + 0.870289i \(0.663932\pi\)
\(228\) −8.19885 4.88437i −0.542982 0.323476i
\(229\) 2.36483 2.07390i 0.156272 0.137047i −0.577639 0.816292i \(-0.696026\pi\)
0.733912 + 0.679245i \(0.237693\pi\)
\(230\) 15.2689 + 0.0361050i 1.00680 + 0.00238069i
\(231\) −0.929066 7.58078i −0.0611281 0.498779i
\(232\) 20.7232 15.6692i 1.36054 1.02873i
\(233\) 3.82145 + 1.58290i 0.250352 + 0.103699i 0.504331 0.863511i \(-0.331739\pi\)
−0.253979 + 0.967210i \(0.581739\pi\)
\(234\) −20.0156 + 14.7237i −1.30846 + 0.962518i
\(235\) −21.4326 14.3208i −1.39811 0.934184i
\(236\) 2.70324 1.78782i 0.175966 0.116377i
\(237\) −0.707638 12.5118i −0.0459660 0.812728i
\(238\) 1.01383 5.03462i 0.0657169 0.326346i
\(239\) 0.936544 3.49523i 0.0605800 0.226088i −0.928998 0.370084i \(-0.879329\pi\)
0.989578 + 0.143997i \(0.0459955\pi\)
\(240\) −5.31023 21.3854i −0.342774 1.38042i
\(241\) 5.69534 + 21.2553i 0.366869 + 1.36917i 0.864869 + 0.501997i \(0.167401\pi\)
−0.498000 + 0.867177i \(0.665932\pi\)
\(242\) −4.50294 + 0.284447i −0.289460 + 0.0182849i
\(243\) 8.07183 + 13.3359i 0.517808 + 0.855497i
\(244\) 13.3390 + 0.937658i 0.853942 + 0.0600274i
\(245\) −6.34449 12.8654i −0.405335 0.821937i
\(246\) 10.9219 8.18597i 0.696355 0.521918i
\(247\) 15.9969 2.10603i 1.01786 0.134004i
\(248\) −3.31023 + 6.59414i −0.210200 + 0.418728i
\(249\) −0.302737 0.401935i −0.0191852 0.0254716i
\(250\) 0.500505 + 0.135379i 0.0316547 + 0.00856212i
\(251\) −2.43328 + 0.484010i −0.153587 + 0.0305504i −0.271285 0.962499i \(-0.587449\pi\)
0.117698 + 0.993049i \(0.462449\pi\)
\(252\) −5.93186 + 7.37858i −0.373672 + 0.464807i
\(253\) 7.88800 5.27059i 0.495914 0.331359i
\(254\) 10.7387 + 12.3037i 0.673807 + 0.772004i
\(255\) −3.39085 + 12.2163i −0.212343 + 0.765014i
\(256\) 13.7026 + 8.26067i 0.856413 + 0.516292i
\(257\) 1.15055 + 1.99281i 0.0717693 + 0.124308i 0.899677 0.436557i \(-0.143802\pi\)
−0.827907 + 0.560865i \(0.810469\pi\)
\(258\) 11.9283 + 8.16700i 0.742624 + 0.508455i
\(259\) −0.865758 13.2089i −0.0537956 0.820762i
\(260\) 29.4478 + 22.8181i 1.82627 + 1.41512i
\(261\) 25.9310 + 9.32341i 1.60509 + 0.577104i
\(262\) 1.68846 + 6.36155i 0.104313 + 0.393018i
\(263\) −13.5733 1.78696i −0.836967 0.110189i −0.300155 0.953891i \(-0.597038\pi\)
−0.536812 + 0.843702i \(0.680372\pi\)
\(264\) −10.1469 9.19078i −0.624499 0.565653i
\(265\) −40.3424 + 5.31118i −2.47821 + 0.326263i
\(266\) 5.68522 2.33916i 0.348583 0.143423i
\(267\) −7.41908 + 1.40682i −0.454041 + 0.0860961i
\(268\) −4.36500 + 6.46628i −0.266635 + 0.394991i
\(269\) 7.84500 + 1.56047i 0.478318 + 0.0951434i 0.428361 0.903608i \(-0.359091\pi\)
0.0499578 + 0.998751i \(0.484091\pi\)
\(270\) 15.9167 17.1138i 0.968659 1.04152i
\(271\) 1.79774 1.79774i 0.109205 0.109205i −0.650393 0.759598i \(-0.725396\pi\)
0.759598 + 0.650393i \(0.225396\pi\)
\(272\) −4.52734 8.01573i −0.274511 0.486025i
\(273\) 0.143291 16.0055i 0.00867239 0.968699i
\(274\) −3.08706 + 15.3302i −0.186496 + 0.926130i
\(275\) 13.5363 4.59497i 0.816272 0.277087i
\(276\) −11.5013 2.45179i −0.692296 0.147580i
\(277\) −13.1065 + 6.46342i −0.787495 + 0.388349i −0.791133 0.611644i \(-0.790509\pi\)
0.00363835 + 0.999993i \(0.498842\pi\)
\(278\) 4.45594 + 5.83561i 0.267250 + 0.349997i
\(279\) −7.77603 + 0.882411i −0.465539 + 0.0528286i
\(280\) 13.0749 + 5.52477i 0.781372 + 0.330168i
\(281\) −0.277421 + 2.10722i −0.0165495 + 0.125706i −0.997725 0.0674105i \(-0.978526\pi\)
0.981176 + 0.193117i \(0.0618596\pi\)
\(282\) 13.8780 + 14.1958i 0.826426 + 0.845346i
\(283\) 1.18390 1.03826i 0.0703758 0.0617180i −0.623435 0.781875i \(-0.714264\pi\)
0.693811 + 0.720157i \(0.255930\pi\)
\(284\) 32.1979 8.46441i 1.91060 0.502270i
\(285\) −14.4140 + 4.74942i −0.853812 + 0.281331i
\(286\) 23.0930 + 1.56844i 1.36552 + 0.0927440i
\(287\) 8.79235i 0.518996i
\(288\) 0.606095 + 16.9597i 0.0357145 + 0.999362i
\(289\) 11.7032i 0.688423i
\(290\) 2.79957 41.2195i 0.164396 2.42049i
\(291\) 10.9844 + 9.80841i 0.643917 + 0.574979i
\(292\) 7.55605 + 4.41026i 0.442184 + 0.258091i
\(293\) 7.70255 6.75496i 0.449988 0.394629i −0.404136 0.914699i \(-0.632428\pi\)
0.854123 + 0.520070i \(0.174094\pi\)
\(294\) 2.73845 + 10.7031i 0.159709 + 0.624216i
\(295\) 0.672713 5.10977i 0.0391669 0.297502i
\(296\) −16.6590 16.8970i −0.968284 0.982120i
\(297\) 2.28129 14.3407i 0.132374 0.832130i
\(298\) −22.9683 + 17.5381i −1.33052 + 1.01595i
\(299\) 17.8315 8.79352i 1.03122 0.508542i
\(300\) −15.7837 8.05398i −0.911274 0.464996i
\(301\) −8.81812 + 2.99335i −0.508268 + 0.172534i
\(302\) 21.2142 + 4.27194i 1.22074 + 0.245823i
\(303\) 23.9340 + 14.1055i 1.37497 + 0.810338i
\(304\) 4.96723 9.83689i 0.284890 0.564184i
\(305\) 15.0362 15.0362i 0.860969 0.860969i
\(306\) 4.49527 8.66805i 0.256977 0.495519i
\(307\) 8.63183 + 1.71698i 0.492644 + 0.0979931i 0.435160 0.900353i \(-0.356692\pi\)
0.0574848 + 0.998346i \(0.481692\pi\)
\(308\) 8.65761 1.67958i 0.493313 0.0957031i
\(309\) −15.8837 18.4424i −0.903594 1.04915i
\(310\) 4.46448 + 10.8507i 0.253566 + 0.616279i
\(311\) −12.8398 + 1.69039i −0.728076 + 0.0958530i −0.485447 0.874266i \(-0.661343\pi\)
−0.242629 + 0.970119i \(0.578010\pi\)
\(312\) −18.5692 21.8723i −1.05127 1.23828i
\(313\) −22.6058 2.97611i −1.27776 0.168220i −0.539065 0.842264i \(-0.681222\pi\)
−0.738691 + 0.674044i \(0.764556\pi\)
\(314\) −21.0817 + 5.59542i −1.18971 + 0.315768i
\(315\) 2.67229 + 14.8161i 0.150566 + 0.834795i
\(316\) 14.3554 1.82091i 0.807556 0.102434i
\(317\) 1.54542 + 23.5785i 0.0867993 + 1.32430i 0.789911 + 0.613222i \(0.210127\pi\)
−0.703112 + 0.711080i \(0.748207\pi\)
\(318\) 31.2463 + 2.40340i 1.75221 + 0.134776i
\(319\) −12.8346 22.2302i −0.718599 1.24465i
\(320\) 24.2069 7.83594i 1.35321 0.438043i
\(321\) 18.3282 + 18.6594i 1.02298 + 1.04146i
\(322\) 5.70718 4.98124i 0.318049 0.277594i
\(323\) −5.27193 + 3.52259i −0.293338 + 0.196002i
\(324\) −14.7127 + 10.3700i −0.817373 + 0.576109i
\(325\) 29.3828 5.84461i 1.62987 0.324200i
\(326\) −3.26439 + 12.0687i −0.180798 + 0.668421i
\(327\) −2.95331 + 6.95321i −0.163319 + 0.384513i
\(328\) 10.3074 + 11.9229i 0.569130 + 0.658331i
\(329\) −12.6790 + 1.66922i −0.699014 + 0.0920269i
\(330\) −21.6155 + 2.59724i −1.18990 + 0.142973i
\(331\) 7.28612 + 14.7748i 0.400481 + 0.812096i 0.999932 + 0.0116838i \(0.00371915\pi\)
−0.599451 + 0.800412i \(0.704614\pi\)
\(332\) 0.438652 0.381033i 0.0240742 0.0209119i
\(333\) 5.35111 24.5922i 0.293239 1.34764i
\(334\) 2.23529 + 35.3858i 0.122310 + 1.93623i
\(335\) 3.21102 + 11.9837i 0.175436 + 0.654738i
\(336\) −8.97622 6.23977i −0.489693 0.340407i
\(337\) 2.68306 10.0133i 0.146155 0.545459i −0.853546 0.521018i \(-0.825553\pi\)
0.999701 0.0244416i \(-0.00778077\pi\)
\(338\) 29.5307 + 5.94666i 1.60626 + 0.323455i
\(339\) 2.36704 + 1.19376i 0.128560 + 0.0648360i
\(340\) −14.3445 2.92389i −0.777941 0.158570i
\(341\) 6.06144 + 4.05012i 0.328245 + 0.219327i
\(342\) 11.6169 1.29045i 0.628169 0.0697795i
\(343\) −16.7794 6.95027i −0.906004 0.375279i
\(344\) −8.44868 + 14.3967i −0.455522 + 0.776219i
\(345\) −14.9375 + 11.2509i −0.804209 + 0.605730i
\(346\) −0.0158841 + 6.71745i −0.000853935 + 0.361132i
\(347\) 17.0887 14.9864i 0.917372 0.804513i −0.0637377 0.997967i \(-0.520302\pi\)
0.981110 + 0.193453i \(0.0619688\pi\)
\(348\) −8.65512 + 30.6194i −0.463963 + 1.64137i
\(349\) 17.3866 1.13958i 0.930685 0.0610003i 0.407487 0.913211i \(-0.366405\pi\)
0.523199 + 0.852211i \(0.324739\pi\)
\(350\) 10.2493 5.02433i 0.547851 0.268561i
\(351\) 8.66295 29.1731i 0.462394 1.55714i
\(352\) 9.77118 12.4270i 0.520805 0.662363i
\(353\) −9.88123 5.70493i −0.525925 0.303643i 0.213431 0.976958i \(-0.431536\pi\)
−0.739355 + 0.673315i \(0.764870\pi\)
\(354\) −1.31836 + 3.74402i −0.0700700 + 0.198992i
\(355\) 23.4155 47.4820i 1.24277 2.52008i
\(356\) −2.21691 8.43295i −0.117496 0.446945i
\(357\) 2.73134 + 5.66592i 0.144558 + 0.299872i
\(358\) −15.9577 27.7911i −0.843390 1.46881i
\(359\) 27.8884 11.5518i 1.47189 0.609679i 0.504604 0.863351i \(-0.331638\pi\)
0.967290 + 0.253672i \(0.0816384\pi\)
\(360\) 20.9929 + 16.9587i 1.10642 + 0.893802i
\(361\) 10.5416 + 4.36647i 0.554821 + 0.229814i
\(362\) 1.74726 0.225829i 0.0918339 0.0118693i
\(363\) 4.18708 3.60617i 0.219765 0.189275i
\(364\) 18.4483 1.12157i 0.966953 0.0587863i
\(365\) 13.1745 4.47213i 0.689583 0.234082i
\(366\) −13.7192 + 8.94399i −0.717115 + 0.467510i
\(367\) 5.64103 1.51151i 0.294459 0.0789001i −0.108565 0.994089i \(-0.534626\pi\)
0.403024 + 0.915189i \(0.367959\pi\)
\(368\) 1.89966 13.4454i 0.0990268 0.700891i
\(369\) −4.61499 + 16.0670i −0.240247 + 0.836415i
\(370\) −37.6583 + 2.37884i −1.95776 + 0.123670i
\(371\) −13.3105 + 15.1777i −0.691046 + 0.787987i
\(372\) −1.64154 8.88627i −0.0851096 0.460732i
\(373\) 14.0214 + 0.919008i 0.725998 + 0.0475844i 0.423921 0.905699i \(-0.360653\pi\)
0.302077 + 0.953284i \(0.402320\pi\)
\(374\) −8.41154 + 3.46089i −0.434950 + 0.178959i
\(375\) −0.588833 + 0.237749i −0.0304072 + 0.0122773i
\(376\) −15.2365 + 17.1273i −0.785762 + 0.883271i
\(377\) −20.5868 49.7009i −1.06027 2.55972i
\(378\) 0.338780 11.5901i 0.0174249 0.596132i
\(379\) −19.5160 + 3.88198i −1.00247 + 0.199404i −0.668925 0.743330i \(-0.733245\pi\)
−0.333546 + 0.942734i \(0.608245\pi\)
\(380\) −6.62954 16.2217i −0.340088 0.832155i
\(381\) −19.5813 4.07752i −1.00318 0.208898i
\(382\) 1.01469 0.199341i 0.0519159 0.0101992i
\(383\) 12.7762 + 22.1290i 0.652833 + 1.13074i 0.982432 + 0.186618i \(0.0597528\pi\)
−0.329600 + 0.944121i \(0.606914\pi\)
\(384\) −19.4872 + 2.06149i −0.994451 + 0.105200i
\(385\) 7.01212 12.1454i 0.357371 0.618985i
\(386\) 7.41680 21.6806i 0.377505 1.10352i
\(387\) −17.6853 + 0.841482i −0.898992 + 0.0427749i
\(388\) −10.4153 + 13.4414i −0.528757 + 0.682383i
\(389\) 2.52111 7.42696i 0.127825 0.376562i −0.864110 0.503302i \(-0.832118\pi\)
0.991936 + 0.126741i \(0.0404516\pi\)
\(390\) −45.6234 0.516340i −2.31023 0.0261459i
\(391\) −4.75620 + 6.19840i −0.240531 + 0.313467i
\(392\) −12.1087 + 4.01479i −0.611583 + 0.202778i
\(393\) −6.35106 4.96430i −0.320369 0.250416i
\(394\) 4.81721 + 3.71450i 0.242687 + 0.187134i
\(395\) 12.7844 19.1332i 0.643253 0.962696i
\(396\) 16.7024 + 1.47503i 0.839326 + 0.0741228i
\(397\) 3.59838 + 0.715762i 0.180598 + 0.0359231i 0.284560 0.958658i \(-0.408152\pi\)
−0.103963 + 0.994581i \(0.533152\pi\)
\(398\) 1.80271 3.63385i 0.0903616 0.182148i
\(399\) −3.82287 + 6.48659i −0.191383 + 0.324736i
\(400\) 8.00857 18.8287i 0.400428 0.941434i
\(401\) −7.96575 + 29.7286i −0.397790 + 1.48457i 0.419185 + 0.907901i \(0.362316\pi\)
−0.816975 + 0.576673i \(0.804351\pi\)
\(402\) −0.516990 9.54105i −0.0257851 0.475864i
\(403\) 11.4866 + 10.0735i 0.572188 + 0.501795i
\(404\) −14.3241 + 28.7034i −0.712651 + 1.42805i
\(405\) −2.89350 + 28.4774i −0.143779 + 1.41506i
\(406\) −12.4393 16.2908i −0.617351 0.808499i
\(407\) −18.5995 + 14.2719i −0.921945 + 0.707433i
\(408\) 10.3461 + 4.48130i 0.512207 + 0.221857i
\(409\) −0.475705 0.365021i −0.0235221 0.0180491i 0.596933 0.802291i \(-0.296386\pi\)
−0.620456 + 0.784242i \(0.713052\pi\)
\(410\) 25.0629 + 0.0592638i 1.23777 + 0.00292683i
\(411\) −8.31680 17.2525i −0.410238 0.851001i
\(412\) 19.9669 19.7790i 0.983701 0.974440i
\(413\) −1.42056 2.12602i −0.0699011 0.104614i
\(414\) 13.0438 6.10701i 0.641068 0.300143i
\(415\) 0.923978i 0.0453563i
\(416\) 23.7020 23.1481i 1.16209 1.13493i
\(417\) −8.66488 2.40509i −0.424321 0.117778i
\(418\) −9.03867 6.07041i −0.442096 0.296913i
\(419\) −8.04814 + 16.3200i −0.393178 + 0.797285i 0.606819 + 0.794840i \(0.292445\pi\)
−0.999997 + 0.00244554i \(0.999222\pi\)
\(420\) −16.8519 + 4.26922i −0.822288 + 0.208317i
\(421\) 0.560519 + 0.190270i 0.0273180 + 0.00927321i 0.335065 0.942195i \(-0.391242\pi\)
−0.307747 + 0.951468i \(0.599575\pi\)
\(422\) −4.95287 2.87518i −0.241102 0.139961i
\(423\) −24.0455 3.60472i −1.16913 0.175268i
\(424\) −0.256699 + 36.1858i −0.0124664 + 1.75734i
\(425\) −9.33991 + 7.16676i −0.453052 + 0.347639i
\(426\) −25.1862 + 32.0653i −1.22028 + 1.55357i
\(427\) 0.689983 10.5271i 0.0333906 0.509443i
\(428\) −20.0204 + 22.6122i −0.967721 + 1.09300i
\(429\) −23.7107 + 15.5378i −1.14476 + 0.750171i
\(430\) 8.47320 + 25.1565i 0.408614 + 1.21315i
\(431\) 24.1109 + 24.1109i 1.16138 + 1.16138i 0.984174 + 0.177206i \(0.0567059\pi\)
0.177206 + 0.984174i \(0.443294\pi\)
\(432\) −13.1278 16.1140i −0.631614 0.775283i
\(433\) −25.3468 + 25.3468i −1.21809 + 1.21809i −0.249787 + 0.968301i \(0.580361\pi\)
−0.968301 + 0.249787i \(0.919639\pi\)
\(434\) 5.21470 + 2.58695i 0.250314 + 0.124178i
\(435\) 27.7339 + 42.3220i 1.32974 + 2.02919i
\(436\) −8.24680 2.84298i −0.394950 0.136154i
\(437\) −9.33238 0.611676i −0.446428 0.0292604i
\(438\) −10.6387 + 1.27831i −0.508338 + 0.0610798i
\(439\) 20.9195 + 27.2629i 0.998435 + 1.30119i 0.953242 + 0.302207i \(0.0977234\pi\)
0.0451924 + 0.998978i \(0.485610\pi\)
\(440\) −4.72935 24.6901i −0.225463 1.17706i
\(441\) −10.5855 8.42790i −0.504072 0.401328i
\(442\) −18.4243 + 4.89010i −0.876353 + 0.232598i
\(443\) −9.17395 + 27.0256i −0.435868 + 1.28402i 0.478124 + 0.878292i \(0.341317\pi\)
−0.913992 + 0.405733i \(0.867016\pi\)
\(444\) 28.7579 + 4.18707i 1.36479 + 0.198709i
\(445\) −12.4360 6.13275i −0.589522 0.290720i
\(446\) −3.17735 16.1734i −0.150452 0.765834i
\(447\) 9.46617 34.1040i 0.447734 1.61306i
\(448\) 6.46602 10.8413i 0.305490 0.512203i
\(449\) −19.6122 −0.925557 −0.462779 0.886474i \(-0.653147\pi\)
−0.462779 + 0.886474i \(0.653147\pi\)
\(450\) 21.3667 3.80163i 1.00724 0.179210i
\(451\) 12.9476 8.65130i 0.609678 0.407374i
\(452\) −1.18481 + 2.82255i −0.0557288 + 0.132762i
\(453\) −23.8743 + 11.5090i −1.12171 + 0.540738i
\(454\) 16.4860 + 16.5642i 0.773727 + 0.777395i
\(455\) 17.8922 23.3175i 0.838798 1.09314i
\(456\) 2.42031 + 13.2777i 0.113341 + 0.621788i
\(457\) −22.9392 29.8950i −1.07305 1.39843i −0.911372 0.411584i \(-0.864976\pi\)
−0.161679 0.986843i \(-0.551691\pi\)
\(458\) −4.40881 0.591040i −0.206010 0.0276175i
\(459\) 2.01724 + 11.7875i 0.0941567 + 0.550192i
\(460\) −14.1607 16.3021i −0.660247 0.760089i
\(461\) −22.2034 + 25.3181i −1.03412 + 1.17918i −0.0505340 + 0.998722i \(0.516092\pi\)
−0.983582 + 0.180461i \(0.942241\pi\)
\(462\) −7.21308 + 8.03955i −0.335583 + 0.374034i
\(463\) −1.77434 0.475434i −0.0824607 0.0220953i 0.217353 0.976093i \(-0.430258\pi\)
−0.299813 + 0.953998i \(0.596924\pi\)
\(464\) −35.9662 7.50844i −1.66969 0.348571i
\(465\) −12.3802 7.29625i −0.574118 0.338356i
\(466\) −1.86720 5.54362i −0.0864963 0.256803i
\(467\) 0.253232 1.27308i 0.0117182 0.0589113i −0.974484 0.224458i \(-0.927939\pi\)
0.986202 + 0.165547i \(0.0529389\pi\)
\(468\) 34.3008 + 7.63373i 1.58556 + 0.352869i
\(469\) 5.11776 + 3.41958i 0.236316 + 0.157902i
\(470\) 4.67270 + 36.1531i 0.215535 + 1.66762i
\(471\) 16.4513 21.0469i 0.758036 0.969791i
\(472\) −4.41871 1.21765i −0.203387 0.0560468i
\(473\) 13.0847 + 10.0402i 0.601633 + 0.461649i
\(474\) −12.6728 + 12.3892i −0.582081 + 0.569053i
\(475\) −13.3445 4.52986i −0.612290 0.207844i
\(476\) −6.30701 + 3.60169i −0.289081 + 0.165083i
\(477\) −32.2900 + 20.7490i −1.47846 + 0.950031i
\(478\) −4.59497 + 2.25250i −0.210169 + 0.103027i
\(479\) 13.8729 + 8.00955i 0.633871 + 0.365966i 0.782250 0.622965i \(-0.214072\pi\)
−0.148379 + 0.988931i \(0.547405\pi\)
\(480\) −17.8472 + 25.5450i −0.814608 + 1.16596i
\(481\) −42.5503 + 24.5664i −1.94013 + 1.12013i
\(482\) 17.3504 25.8343i 0.790290 1.17672i
\(483\) −1.89139 + 9.08293i −0.0860613 + 0.413288i
\(484\) 4.49053 + 4.53321i 0.204115 + 0.206055i
\(485\) 5.27540 + 26.5212i 0.239544 + 1.20427i
\(486\) 6.70259 21.0018i 0.304035 0.952661i
\(487\) 34.0638 14.1097i 1.54358 0.639371i 0.561438 0.827519i \(-0.310248\pi\)
0.982141 + 0.188147i \(0.0602483\pi\)
\(488\) −11.4054 15.0842i −0.516299 0.682829i
\(489\) −5.73284 14.1985i −0.259248 0.642079i
\(490\) −7.80758 + 18.7238i −0.352711 + 0.845856i
\(491\) −0.695268 + 10.6077i −0.0313770 + 0.478721i 0.953037 + 0.302854i \(0.0979394\pi\)
−0.984414 + 0.175867i \(0.943727\pi\)
\(492\) −18.8786 4.02444i −0.851111 0.181436i
\(493\) 15.8939 + 13.9386i 0.715825 + 0.627762i
\(494\) −17.1200 15.0856i −0.770267 0.678735i
\(495\) 19.1888 18.5137i 0.862472 0.832127i
\(496\) 10.1041 2.60522i 0.453689 0.116978i
\(497\) −6.79801 25.3705i −0.304932 1.13802i
\(498\) −0.146720 + 0.696331i −0.00657467 + 0.0312033i
\(499\) −12.9448 38.1340i −0.579487 1.70711i −0.699765 0.714373i \(-0.746712\pi\)
0.120279 0.992740i \(-0.461621\pi\)
\(500\) −0.321197 0.659164i −0.0143644 0.0294787i
\(501\) −28.3386 32.9036i −1.26608 1.47003i
\(502\) 2.77850 + 2.14248i 0.124011 + 0.0956233i
\(503\) 8.91808 21.5301i 0.397638 0.959982i −0.590587 0.806974i \(-0.701104\pi\)
0.988225 0.153008i \(-0.0488961\pi\)
\(504\) 13.3779 0.541448i 0.595898 0.0241180i
\(505\) 19.5218 + 47.1298i 0.868709 + 2.09725i
\(506\) −12.9510 3.50305i −0.575741 0.155730i
\(507\) −33.2337 + 16.0208i −1.47596 + 0.711507i
\(508\) 3.12282 22.8834i 0.138553 1.01529i
\(509\) −29.9624 14.7758i −1.32806 0.654926i −0.366730 0.930328i \(-0.619523\pi\)
−0.961329 + 0.275401i \(0.911189\pi\)
\(510\) 16.1693 7.74759i 0.715989 0.343069i
\(511\) 3.45122 5.97769i 0.152673 0.264437i
\(512\) −3.94114 22.2815i −0.174175 0.984715i
\(513\) −10.3906 + 9.84693i −0.458755 + 0.434752i
\(514\) 1.05333 3.07906i 0.0464603 0.135812i
\(515\) −2.92307 44.5975i −0.128806 1.96520i
\(516\) −2.39096 20.3040i −0.105256 0.893833i
\(517\) 14.9337 + 17.0286i 0.656781 + 0.748916i
\(518\) −13.2685 + 13.2059i −0.582985 + 0.580235i
\(519\) −4.94976 6.57164i −0.217270 0.288463i
\(520\) −3.07273 52.5950i −0.134748 2.30644i
\(521\) −8.90864 + 21.5074i −0.390295 + 0.942254i 0.599581 + 0.800314i \(0.295334\pi\)
−0.989875 + 0.141940i \(0.954666\pi\)
\(522\) −14.1805 36.2988i −0.620664 1.58875i
\(523\) −4.00512 + 5.99409i −0.175132 + 0.262103i −0.908643 0.417574i \(-0.862880\pi\)
0.733511 + 0.679678i \(0.237880\pi\)
\(524\) 5.20784 7.71484i 0.227505 0.337025i
\(525\) −6.29518 + 12.4824i −0.274744 + 0.544776i
\(526\) 10.7184 + 16.1236i 0.467345 + 0.703024i
\(527\) −5.79917 1.55388i −0.252616 0.0676882i
\(528\) −0.356436 + 19.3580i −0.0155119 + 0.842450i
\(529\) 11.0847 2.97014i 0.481945 0.129137i
\(530\) 43.1748 + 38.0443i 1.87539 + 1.65254i
\(531\) −1.47999 4.63068i −0.0642260 0.200955i
\(532\) −7.77920 3.88212i −0.337271 0.168311i
\(533\) 29.2691 14.4339i 1.26779 0.625203i
\(534\) 8.39822 + 6.59651i 0.363426 + 0.285459i
\(535\) 6.26880 + 47.6163i 0.271024 + 2.05863i
\(536\) 10.9488 1.36249i 0.472915 0.0588506i
\(537\) 36.1255 + 15.3440i 1.55893 + 0.662142i
\(538\) −5.63275 9.80971i −0.242845 0.422927i
\(539\) 2.45896 + 12.3620i 0.105915 + 0.532471i
\(540\) −33.0357 1.04382i −1.42163 0.0449190i
\(541\) 19.3860 + 29.0132i 0.833470 + 1.24738i 0.966603 + 0.256278i \(0.0824961\pi\)
−0.133134 + 0.991098i \(0.542504\pi\)
\(542\) −3.58721 0.243638i −0.154084 0.0104652i
\(543\) −1.53935 + 1.51204i −0.0660600 + 0.0648877i
\(544\) −4.33032 + 12.2779i −0.185661 + 0.526409i
\(545\) −12.0132 + 6.93584i −0.514590 + 0.297099i
\(546\) −17.1866 + 14.7315i −0.735518 + 0.630450i
\(547\) 9.63958 0.631812i 0.412159 0.0270143i 0.142086 0.989854i \(-0.454619\pi\)
0.270073 + 0.962840i \(0.412952\pi\)
\(548\) 19.2045 10.9670i 0.820377 0.468486i
\(549\) 6.78641 18.8749i 0.289637 0.805562i
\(550\) −17.4837 10.1494i −0.745509 0.432774i
\(551\) −3.30303 + 25.0890i −0.140714 + 1.06883i
\(552\) 8.08321 + 14.5342i 0.344044 + 0.618618i
\(553\) −1.49014 11.3187i −0.0633671 0.481321i
\(554\) 19.0748 + 7.95394i 0.810411 + 0.337931i
\(555\) 35.0167 30.1585i 1.48638 1.28016i
\(556\) 2.07388 10.1744i 0.0879523 0.431491i
\(557\) 1.14324 5.74744i 0.0484405 0.243527i −0.948977 0.315344i \(-0.897880\pi\)
0.997418 + 0.0718176i \(0.0228799\pi\)
\(558\) 8.17141 + 7.46449i 0.345923 + 0.315997i
\(559\) 24.4409 + 24.4409i 1.03374 + 1.03374i
\(560\) −6.27238 19.0685i −0.265056 0.805790i
\(561\) 5.65610 9.59720i 0.238801 0.405194i
\(562\) 2.50315 1.66400i 0.105589 0.0701918i
\(563\) −9.27205 27.3146i −0.390771 1.15117i −0.947301 0.320345i \(-0.896201\pi\)
0.556530 0.830827i \(-0.312132\pi\)
\(564\) 2.21935 27.9878i 0.0934513 1.17850i
\(565\) 2.15302 + 4.36589i 0.0905782 + 0.183674i
\(566\) −2.20718 0.295893i −0.0927749 0.0124373i
\(567\) 8.23612 + 11.5687i 0.345885 + 0.485840i
\(568\) −38.9606 26.4343i −1.63475 1.10916i
\(569\) 23.0077 + 3.02902i 0.964532 + 0.126983i 0.596309 0.802755i \(-0.296633\pi\)
0.368222 + 0.929738i \(0.379966\pi\)
\(570\) 18.4645 + 10.9409i 0.773392 + 0.458265i
\(571\) 22.3539 + 25.4898i 0.935483 + 1.06671i 0.997641 + 0.0686479i \(0.0218685\pi\)
−0.0621577 + 0.998066i \(0.519798\pi\)
\(572\) −19.8040 26.0633i −0.828045 1.08976i
\(573\) −0.843544 + 0.944682i −0.0352396 + 0.0394647i
\(574\) 9.36793 8.17635i 0.391010 0.341274i
\(575\) −17.3650 −0.724171
\(576\) 17.5064 16.4173i 0.729431 0.684054i
\(577\) −3.26169 −0.135786 −0.0678931 0.997693i \(-0.521628\pi\)
−0.0678931 + 0.997693i \(0.521628\pi\)
\(578\) −12.4693 + 10.8833i −0.518656 + 0.452684i
\(579\) 8.78261 + 26.6543i 0.364993 + 1.10772i
\(580\) −46.5213 + 35.3488i −1.93169 + 1.46778i
\(581\) −0.302247 0.344647i −0.0125393 0.0142984i
\(582\) 0.235683 20.8247i 0.00976936 0.863212i
\(583\) 35.4476 + 4.66677i 1.46809 + 0.193278i
\(584\) −2.32769 12.1520i −0.0963204 0.502852i
\(585\) 44.9350 33.2187i 1.85783 1.37343i
\(586\) −14.3601 1.92509i −0.593209 0.0795249i
\(587\) 2.26260 + 4.58809i 0.0933874 + 0.189371i 0.938554 0.345132i \(-0.112166\pi\)
−0.845167 + 0.534502i \(0.820499\pi\)
\(588\) 8.85716 12.8709i 0.365263 0.530788i
\(589\) −2.31010 6.80534i −0.0951861 0.280409i
\(590\) −6.06985 + 4.03502i −0.249892 + 0.166119i
\(591\) −7.44984 0.0666955i −0.306445 0.00274349i
\(592\) −2.51133 + 33.4628i −0.103215 + 1.37531i
\(593\) 11.2092 + 11.2092i 0.460305 + 0.460305i 0.898755 0.438450i \(-0.144472\pi\)
−0.438450 + 0.898755i \(0.644472\pi\)
\(594\) −17.4009 + 10.9053i −0.713969 + 0.447450i
\(595\) −2.25324 + 11.3278i −0.0923740 + 0.464395i
\(596\) 40.0453 + 8.16257i 1.64032 + 0.334352i
\(597\) 0.925566 + 4.88111i 0.0378809 + 0.199770i
\(598\) −25.9514 10.8214i −1.06123 0.442519i
\(599\) 3.17748 + 24.1354i 0.129828 + 0.986145i 0.925055 + 0.379833i \(0.124018\pi\)
−0.795227 + 0.606312i \(0.792648\pi\)
\(600\) 6.09668 + 24.3067i 0.248896 + 0.992317i
\(601\) 3.38048 25.6773i 0.137893 1.04740i −0.772898 0.634531i \(-0.781193\pi\)
0.910790 0.412869i \(-0.135473\pi\)
\(602\) 11.3896 + 6.61175i 0.464206 + 0.269475i
\(603\) 7.55723 + 8.93514i 0.307754 + 0.363867i
\(604\) −15.1763 26.5756i −0.617516 1.08135i
\(605\) 10.1252 0.663642i 0.411648 0.0269809i
\(606\) −7.22827 38.6180i −0.293628 1.56875i
\(607\) −13.3218 + 7.69134i −0.540715 + 0.312182i −0.745369 0.666653i \(-0.767727\pi\)
0.204654 + 0.978834i \(0.434393\pi\)
\(608\) −15.1001 + 3.85530i −0.612389 + 0.156353i
\(609\) 24.1890 + 6.71409i 0.980189 + 0.272069i
\(610\) −30.0032 2.03778i −1.21480 0.0825072i
\(611\) 26.3711 + 39.4671i 1.06686 + 1.59667i
\(612\) −13.4158 + 3.27121i −0.542302 + 0.132231i
\(613\) −8.34387 41.9474i −0.337006 1.69424i −0.662797 0.748800i \(-0.730631\pi\)
0.325791 0.945442i \(-0.394369\pi\)
\(614\) −6.19770 10.7936i −0.250119 0.435594i
\(615\) −24.5189 + 18.4676i −0.988696 + 0.744686i
\(616\) −9.84059 7.66247i −0.396489 0.308730i
\(617\) −4.98997 37.9026i −0.200888 1.52590i −0.733588 0.679595i \(-0.762156\pi\)
0.532699 0.846305i \(-0.321178\pi\)
\(618\) −4.87881 + 34.0739i −0.196254 + 1.37065i
\(619\) −4.29615 + 2.11863i −0.172677 + 0.0851549i −0.526573 0.850130i \(-0.676523\pi\)
0.353896 + 0.935285i \(0.384857\pi\)
\(620\) 7.40935 14.8472i 0.297567 0.596280i
\(621\) −8.22381 + 15.6052i −0.330010 + 0.626217i
\(622\) 13.7412 + 12.1083i 0.550973 + 0.485500i
\(623\) −6.64478 + 1.78046i −0.266218 + 0.0713328i
\(624\) −6.03596 + 40.1247i −0.241632 + 1.60627i
\(625\) 23.5786 + 6.31786i 0.943143 + 0.252714i
\(626\) 17.8511 + 26.8533i 0.713473 + 1.07327i
\(627\) 13.3137 0.752991i 0.531697 0.0300715i
\(628\) 25.5664 + 17.2584i 1.02021 + 0.688684i
\(629\) 10.7267 16.0537i 0.427703 0.640102i
\(630\) 13.3010 16.6253i 0.529925 0.662369i
\(631\) 5.94701 14.3574i 0.236747 0.571557i −0.760196 0.649694i \(-0.774897\pi\)
0.996943 + 0.0781366i \(0.0248970\pi\)
\(632\) −15.2898 13.6019i −0.608195 0.541053i
\(633\) 6.96192 0.853222i 0.276712 0.0339125i
\(634\) 23.6849 23.5732i 0.940648 0.936210i
\(635\) −24.2159 27.6129i −0.960977 1.09578i
\(636\) −26.4964 35.5268i −1.05065 1.40873i
\(637\) 1.72763 + 26.3586i 0.0684513 + 1.04436i
\(638\) −11.7501 + 34.3475i −0.465189 + 1.35983i
\(639\) 0.894077 49.9299i 0.0353692 1.97520i
\(640\) −30.8599 18.5047i −1.21984 0.731461i
\(641\) 7.06589 12.2385i 0.279086 0.483391i −0.692072 0.721829i \(-0.743302\pi\)
0.971158 + 0.238437i \(0.0766352\pi\)
\(642\) 2.83675 36.8801i 0.111957 1.45554i
\(643\) −37.4995 18.4927i −1.47884 0.729282i −0.489107 0.872224i \(-0.662677\pi\)
−0.989731 + 0.142942i \(0.954344\pi\)
\(644\) −10.6147 1.44855i −0.418276 0.0570808i
\(645\) −26.8692 18.3034i −1.05797 0.720697i
\(646\) 8.65577 + 2.34126i 0.340557 + 0.0921156i
\(647\) −4.72019 11.3955i −0.185570 0.448005i 0.803528 0.595267i \(-0.202954\pi\)
−0.989097 + 0.147262i \(0.952954\pi\)
\(648\) 24.7307 + 6.03244i 0.971515 + 0.236977i
\(649\) −1.73300 + 4.18382i −0.0680260 + 0.164229i
\(650\) −33.5515 25.8712i −1.31600 1.01475i
\(651\) −7.00457 + 1.32822i −0.274531 + 0.0520571i
\(652\) 15.8944 7.74503i 0.622473 0.303319i
\(653\) 9.55740 + 28.1552i 0.374010 + 1.10180i 0.957191 + 0.289456i \(0.0934743\pi\)
−0.583181 + 0.812342i \(0.698192\pi\)
\(654\) 10.1548 3.31941i 0.397084 0.129799i
\(655\) −3.83103 14.2976i −0.149691 0.558653i
\(656\) 3.11816 22.0697i 0.121744 0.861677i
\(657\) 9.44432 9.11204i 0.368458 0.355495i
\(658\) 13.5692 + 11.9567i 0.528981 + 0.466121i
\(659\) 13.2681 + 11.6358i 0.516850 + 0.453266i 0.877598 0.479398i \(-0.159145\pi\)
−0.360747 + 0.932664i \(0.617478\pi\)
\(660\) 22.8684 + 20.6153i 0.890151 + 0.802450i
\(661\) −0.853829 + 13.0269i −0.0332101 + 0.506688i 0.948558 + 0.316604i \(0.102543\pi\)
−0.981768 + 0.190084i \(0.939124\pi\)
\(662\) 8.96636 21.5027i 0.348487 0.835728i
\(663\) 14.3776 18.3939i 0.558379 0.714360i
\(664\) −0.813897 0.113031i −0.0315853 0.00438645i
\(665\) −12.7731 + 5.29081i −0.495321 + 0.205169i
\(666\) −31.1783 + 17.1678i −1.20813 + 0.665239i
\(667\) 6.08331 + 30.5829i 0.235547 + 1.18417i
\(668\) 35.6236 35.2883i 1.37832 1.36534i
\(669\) 15.0576 + 13.4455i 0.582160 + 0.519834i
\(670\) 9.78212 14.5653i 0.377916 0.562707i
\(671\) −16.1811 + 9.34217i −0.624665 + 0.360650i
\(672\) 1.69909 + 15.3664i 0.0655440 + 0.592773i
\(673\) −4.58568 2.64754i −0.176765 0.102055i 0.409007 0.912531i \(-0.365875\pi\)
−0.585772 + 0.810476i \(0.699209\pi\)
\(674\) −13.1639 + 6.45306i −0.507054 + 0.248563i
\(675\) −18.0556 + 19.5059i −0.694959 + 0.750782i
\(676\) −21.1258 36.9940i −0.812532 1.42284i
\(677\) 10.3277 + 3.50579i 0.396927 + 0.134738i 0.512764 0.858530i \(-0.328622\pi\)
−0.115837 + 0.993268i \(0.536955\pi\)
\(678\) −0.929299 3.63212i −0.0356895 0.139491i
\(679\) 10.6432 + 8.16685i 0.408450 + 0.313415i
\(680\) 10.2242 + 18.0026i 0.392081 + 0.690369i
\(681\) −28.3429 3.98986i −1.08610 0.152892i
\(682\) −1.32151 10.2246i −0.0506031 0.391521i
\(683\) 8.56693 + 5.72424i 0.327805 + 0.219032i 0.708571 0.705639i \(-0.249340\pi\)
−0.380767 + 0.924671i \(0.624340\pi\)
\(684\) −12.1779 11.1773i −0.465635 0.427376i
\(685\) 6.86102 34.4927i 0.262146 1.31790i
\(686\) 8.19859 + 24.3412i 0.313024 + 0.929351i
\(687\) 4.74228 2.68164i 0.180929 0.102311i
\(688\) 23.1959 4.38631i 0.884337 0.167226i
\(689\) 72.3766 + 19.3933i 2.75733 + 0.738825i
\(690\) 25.8784 + 5.45270i 0.985175 + 0.207581i
\(691\) −16.9881 + 19.3712i −0.646258 + 0.736916i −0.978493 0.206281i \(-0.933864\pi\)
0.332235 + 0.943197i \(0.392197\pi\)
\(692\) 7.17197 6.22990i 0.272637 0.236825i
\(693\) 1.10138 13.1826i 0.0418381 0.500766i
\(694\) −31.8590 4.27098i −1.20935 0.162124i
\(695\) −10.0521 13.1001i −0.381296 0.496915i
\(696\) 40.6726 19.2525i 1.54169 0.729762i
\(697\) −7.80697 + 10.1742i −0.295710 + 0.385377i
\(698\) −17.3827 17.4651i −0.657945 0.661064i
\(699\) 5.92103 + 4.03344i 0.223954 + 0.152559i
\(700\) −14.8845 6.24800i −0.562582 0.236152i
\(701\) −15.8279 + 10.5758i −0.597810 + 0.399444i −0.817335 0.576163i \(-0.804549\pi\)
0.219525 + 0.975607i \(0.429549\pi\)
\(702\) −39.1389 + 17.8991i −1.47720 + 0.675559i
\(703\) 23.1120 0.871687
\(704\) −22.3272 + 1.14554i −0.841486 + 0.0431743i
\(705\) −31.2860 31.8512i −1.17830 1.19959i
\(706\) 3.11054 + 15.8333i 0.117067 + 0.595895i
\(707\) 22.6986 + 11.1937i 0.853668 + 0.420983i
\(708\) 5.21511 2.07704i 0.195996 0.0780600i
\(709\) 10.5363 31.0388i 0.395698 1.16569i −0.548455 0.836180i \(-0.684784\pi\)
0.944153 0.329508i \(-0.106883\pi\)
\(710\) −72.3653 + 19.2069i −2.71582 + 0.720824i
\(711\) 3.21800 21.4658i 0.120684 0.805031i
\(712\) −6.92341 + 10.2042i −0.259466 + 0.382417i
\(713\) −5.39099 7.02568i −0.201894 0.263114i
\(714\) 3.49686 8.17911i 0.130867 0.306095i
\(715\) −51.9425 3.40449i −1.94254 0.127321i
\(716\) −14.7707 + 42.8464i −0.552008 + 1.60124i
\(717\) 2.82224 5.59608i 0.105399 0.208990i
\(718\) −38.2425 18.9717i −1.42720 0.708017i
\(719\) −23.8829 + 23.8829i −0.890681 + 0.890681i −0.994587 0.103906i \(-0.966866\pi\)
0.103906 + 0.994587i \(0.466866\pi\)
\(720\) −1.45324 38.1377i −0.0541592 1.42131i
\(721\) −15.6788 15.6788i −0.583911 0.583911i
\(722\) −5.15072 15.2922i −0.191690 0.569119i
\(723\) 2.15220 + 38.0531i 0.0800411 + 1.41521i
\(724\) −1.86546 1.65163i −0.0693292 0.0613825i
\(725\) −3.07302 + 46.8852i −0.114129 + 1.74127i
\(726\) −7.73597 1.10766i −0.287109 0.0411092i
\(727\) −29.2263 + 22.4262i −1.08394 + 0.831740i −0.986543 0.163505i \(-0.947720\pi\)
−0.0974025 + 0.995245i \(0.531053\pi\)
\(728\) −18.3508 18.6130i −0.680125 0.689843i
\(729\) 8.97831 + 25.4635i 0.332530 + 0.943093i
\(730\) −17.0163 9.87811i −0.629803 0.365605i
\(731\) −12.8619 4.36604i −0.475716 0.161484i
\(732\) 22.2875 + 6.29997i 0.823771 + 0.232854i
\(733\) 22.5033 45.6321i 0.831178 1.68546i 0.108692 0.994075i \(-0.465334\pi\)
0.722485 0.691386i \(-0.243000\pi\)
\(734\) −6.85627 4.60470i −0.253070 0.169963i
\(735\) −6.21544 24.0557i −0.229260 0.887309i
\(736\) −16.0922 + 10.4794i −0.593166 + 0.386276i
\(737\) 10.9011i 0.401548i
\(738\) 21.4105 10.0242i 0.788131 0.368997i
\(739\) 27.8334 + 41.6557i 1.02387 + 1.53233i 0.834942 + 0.550338i \(0.185501\pi\)
0.188927 + 0.981991i \(0.439499\pi\)
\(740\) 37.5545 + 37.9114i 1.38053 + 1.39365i
\(741\) 27.8692 + 2.07737i 1.02380 + 0.0763140i
\(742\) 28.5492 + 0.0675076i 1.04808 + 0.00247828i
\(743\) 2.01724 + 1.54788i 0.0740054 + 0.0567863i 0.645102 0.764097i \(-0.276815\pi\)
−0.571096 + 0.820883i \(0.693482\pi\)
\(744\) −7.94147 + 10.0127i −0.291148 + 0.367083i
\(745\) 51.5605 39.5637i 1.88903 1.44950i
\(746\) −12.0598 15.7939i −0.441542 0.578255i
\(747\) −0.371421 0.788448i −0.0135896 0.0288478i
\(748\) 11.5097 + 5.74377i 0.420835 + 0.210013i
\(749\) 17.9143 + 15.7104i 0.654574 + 0.574046i
\(750\) 0.800892 + 0.406288i 0.0292444 + 0.0148355i
\(751\) −3.73990 + 13.9575i −0.136471 + 0.509317i 0.863516 + 0.504321i \(0.168257\pi\)
−0.999988 + 0.00499624i \(0.998410\pi\)
\(752\) 32.4175 + 0.306626i 1.18214 + 0.0111815i
\(753\) −4.29697 0.0384690i −0.156590 0.00140189i
\(754\) −33.8100 + 68.1532i −1.23129 + 2.48199i
\(755\) −47.7316 9.49441i −1.73713 0.345537i
\(756\) −12.6639 + 10.4171i −0.460582 + 0.378868i
\(757\) 4.14404 6.20199i 0.150618 0.225415i −0.748487 0.663150i \(-0.769219\pi\)
0.899104 + 0.437735i \(0.144219\pi\)
\(758\) 22.2848 + 17.1836i 0.809422 + 0.624138i
\(759\) 15.2365 6.15196i 0.553052 0.223302i
\(760\) −11.1186 + 22.1487i −0.403312 + 0.803418i
\(761\) −24.6871 + 32.1729i −0.894908 + 1.16627i 0.0904722 + 0.995899i \(0.471162\pi\)
−0.985380 + 0.170368i \(0.945504\pi\)
\(762\) 13.8649 + 24.6550i 0.502273 + 0.893156i
\(763\) −2.21216 + 6.51680i −0.0800854 + 0.235924i
\(764\) −1.15599 0.895738i −0.0418222 0.0324067i
\(765\) −10.0634 + 19.5176i −0.363842 + 0.705660i
\(766\) 11.6966 34.1912i 0.422615 1.23538i
\(767\) −4.74531 + 8.21911i −0.171343 + 0.296775i
\(768\) 20.3183 + 18.8458i 0.733175 + 0.680040i
\(769\) 20.7179 + 35.8844i 0.747105 + 1.29402i 0.949205 + 0.314659i \(0.101890\pi\)
−0.202099 + 0.979365i \(0.564776\pi\)
\(770\) −19.4613 + 3.82327i −0.701336 + 0.137781i
\(771\) 1.24730 + 3.78542i 0.0449203 + 0.136329i
\(772\) −29.9971 + 12.2593i −1.07962 + 0.441223i
\(773\) 24.6034