Properties

Label 260.2.o.a.183.24
Level $260$
Weight $2$
Character 260.183
Analytic conductor $2.076$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 260 = 2^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 260.o (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.07611045255\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(36\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 183.24
Character \(\chi\) \(=\) 260.183
Dual form 260.2.o.a.27.24

$q$-expansion

\(f(q)\) \(=\) \(q+(0.688553 + 1.23527i) q^{2} +(1.59413 - 1.59413i) q^{3} +(-1.05179 + 1.70110i) q^{4} +(1.94514 + 1.10291i) q^{5} +(3.06682 + 0.871538i) q^{6} +(-0.0942377 - 0.0942377i) q^{7} +(-2.82553 - 0.127946i) q^{8} -2.08249i q^{9} +O(q^{10})\) \(q+(0.688553 + 1.23527i) q^{2} +(1.59413 - 1.59413i) q^{3} +(-1.05179 + 1.70110i) q^{4} +(1.94514 + 1.10291i) q^{5} +(3.06682 + 0.871538i) q^{6} +(-0.0942377 - 0.0942377i) q^{7} +(-2.82553 - 0.127946i) q^{8} -2.08249i q^{9} +(-0.0230609 + 3.16219i) q^{10} -2.08771i q^{11} +(1.03508 + 4.38846i) q^{12} +(-0.707107 - 0.707107i) q^{13} +(0.0515214 - 0.181297i) q^{14} +(4.85899 - 1.34262i) q^{15} +(-1.78748 - 3.57840i) q^{16} +(-3.21214 + 3.21214i) q^{17} +(2.57244 - 1.43390i) q^{18} -3.07287 q^{19} +(-3.92204 + 2.14885i) q^{20} -0.300454 q^{21} +(2.57889 - 1.43750i) q^{22} +(4.44667 - 4.44667i) q^{23} +(-4.70822 + 4.30030i) q^{24} +(2.56717 + 4.29065i) q^{25} +(0.386588 - 1.36035i) q^{26} +(1.46263 + 1.46263i) q^{27} +(0.259426 - 0.0611896i) q^{28} -0.0603882i q^{29} +(5.00418 + 5.07770i) q^{30} -3.95313i q^{31} +(3.18951 - 4.67194i) q^{32} +(-3.32808 - 3.32808i) q^{33} +(-6.17959 - 1.75613i) q^{34} +(-0.0793699 - 0.287242i) q^{35} +(3.54252 + 2.19034i) q^{36} +(-3.14507 + 3.14507i) q^{37} +(-2.11584 - 3.79583i) q^{38} -2.25444 q^{39} +(-5.35495 - 3.36519i) q^{40} -8.79014 q^{41} +(-0.206878 - 0.371142i) q^{42} +(-6.26368 + 6.26368i) q^{43} +(3.55140 + 2.19583i) q^{44} +(2.29680 - 4.05074i) q^{45} +(8.55462 + 2.43108i) q^{46} +(-5.57941 - 5.57941i) q^{47} +(-8.55389 - 2.85495i) q^{48} -6.98224i q^{49} +(-3.53248 + 6.12549i) q^{50} +10.2411i q^{51} +(1.94659 - 0.459132i) q^{52} +(-3.86564 - 3.86564i) q^{53} +(-0.799646 + 2.81385i) q^{54} +(2.30256 - 4.06090i) q^{55} +(0.254214 + 0.278329i) q^{56} +(-4.89855 + 4.89855i) q^{57} +(0.0745958 - 0.0415805i) q^{58} +5.43037 q^{59} +(-2.82670 + 9.67779i) q^{60} +12.0751 q^{61} +(4.88319 - 2.72194i) q^{62} +(-0.196249 + 0.196249i) q^{63} +(7.96726 + 0.723032i) q^{64} +(-0.595547 - 2.15530i) q^{65} +(1.81952 - 6.40264i) q^{66} +(-5.51319 - 5.51319i) q^{67} +(-2.08568 - 8.84266i) q^{68} -14.1771i q^{69} +(0.300171 - 0.295824i) q^{70} +1.82705i q^{71} +(-0.266446 + 5.88414i) q^{72} +(10.5349 + 10.5349i) q^{73} +(-6.05056 - 1.71947i) q^{74} +(10.9322 + 2.74745i) q^{75} +(3.23201 - 5.22726i) q^{76} +(-0.196741 + 0.196741i) q^{77} +(-1.55230 - 2.78484i) q^{78} +7.53432 q^{79} +(0.469750 - 8.93193i) q^{80} +10.9107 q^{81} +(-6.05248 - 10.8582i) q^{82} +(-10.7812 + 10.7812i) q^{83} +(0.316014 - 0.511102i) q^{84} +(-9.79078 + 2.70536i) q^{85} +(-12.0502 - 3.42446i) q^{86} +(-0.0962666 - 0.0962666i) q^{87} +(-0.267115 + 5.89889i) q^{88} +2.38303i q^{89} +(6.58523 + 0.0480241i) q^{90} +0.133272i q^{91} +(2.88727 + 12.2412i) q^{92} +(-6.30180 - 6.30180i) q^{93} +(3.05036 - 10.7338i) q^{94} +(-5.97718 - 3.38911i) q^{95} +(-2.36318 - 12.5322i) q^{96} +(8.89152 - 8.89152i) q^{97} +(8.62496 - 4.80764i) q^{98} -4.34763 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72 q - 8 q^{6} - 12 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 72 q - 8 q^{6} - 12 q^{8} - 8 q^{10} - 8 q^{12} - 8 q^{16} + 28 q^{18} - 16 q^{21} - 8 q^{22} - 20 q^{28} - 32 q^{30} - 40 q^{32} + 16 q^{33} + 32 q^{36} - 12 q^{38} - 8 q^{40} - 40 q^{42} - 8 q^{46} + 60 q^{48} + 40 q^{50} + 8 q^{52} - 48 q^{53} + 8 q^{56} - 60 q^{58} + 20 q^{60} - 64 q^{61} + 60 q^{62} + 8 q^{66} - 16 q^{68} - 60 q^{70} + 40 q^{72} - 16 q^{73} - 72 q^{76} + 48 q^{77} - 20 q^{80} + 8 q^{81} - 12 q^{82} + 48 q^{85} + 48 q^{86} + 12 q^{88} + 44 q^{90} - 36 q^{92} + 16 q^{93} + 32 q^{96} - 80 q^{97} - 32 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/260\mathbb{Z}\right)^\times\).

\(n\) \(41\) \(131\) \(157\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{3}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.688553 + 1.23527i 0.486881 + 0.873468i
\(3\) 1.59413 1.59413i 0.920370 0.920370i −0.0766851 0.997055i \(-0.524434\pi\)
0.997055 + 0.0766851i \(0.0244336\pi\)
\(4\) −1.05179 + 1.70110i −0.525894 + 0.850550i
\(5\) 1.94514 + 1.10291i 0.869895 + 0.493238i
\(6\) 3.06682 + 0.871538i 1.25202 + 0.355804i
\(7\) −0.0942377 0.0942377i −0.0356185 0.0356185i 0.689073 0.724692i \(-0.258018\pi\)
−0.724692 + 0.689073i \(0.758018\pi\)
\(8\) −2.82553 0.127946i −0.998976 0.0452358i
\(9\) 2.08249i 0.694163i
\(10\) −0.0230609 + 3.16219i −0.00729250 + 0.999973i
\(11\) 2.08771i 0.629469i −0.949180 0.314734i \(-0.898085\pi\)
0.949180 0.314734i \(-0.101915\pi\)
\(12\) 1.03508 + 4.38846i 0.298803 + 1.26684i
\(13\) −0.707107 0.707107i −0.196116 0.196116i
\(14\) 0.0515214 0.181297i 0.0137697 0.0484536i
\(15\) 4.85899 1.34262i 1.25459 0.346664i
\(16\) −1.78748 3.57840i −0.446870 0.894599i
\(17\) −3.21214 + 3.21214i −0.779058 + 0.779058i −0.979671 0.200612i \(-0.935707\pi\)
0.200612 + 0.979671i \(0.435707\pi\)
\(18\) 2.57244 1.43390i 0.606329 0.337974i
\(19\) −3.07287 −0.704965 −0.352483 0.935818i \(-0.614662\pi\)
−0.352483 + 0.935818i \(0.614662\pi\)
\(20\) −3.92204 + 2.14885i −0.876996 + 0.480498i
\(21\) −0.300454 −0.0655644
\(22\) 2.57889 1.43750i 0.549821 0.306476i
\(23\) 4.44667 4.44667i 0.927196 0.927196i −0.0703283 0.997524i \(-0.522405\pi\)
0.997524 + 0.0703283i \(0.0224047\pi\)
\(24\) −4.70822 + 4.30030i −0.961062 + 0.877794i
\(25\) 2.56717 + 4.29065i 0.513433 + 0.858129i
\(26\) 0.386588 1.36035i 0.0758161 0.266786i
\(27\) 1.46263 + 1.46263i 0.281484 + 0.281484i
\(28\) 0.259426 0.0611896i 0.0490269 0.0115637i
\(29\) 0.0603882i 0.0112138i −0.999984 0.00560691i \(-0.998215\pi\)
0.999984 0.00560691i \(-0.00178474\pi\)
\(30\) 5.00418 + 5.07770i 0.913634 + 0.927058i
\(31\) 3.95313i 0.710004i −0.934866 0.355002i \(-0.884480\pi\)
0.934866 0.355002i \(-0.115520\pi\)
\(32\) 3.18951 4.67194i 0.563831 0.825890i
\(33\) −3.32808 3.32808i −0.579344 0.579344i
\(34\) −6.17959 1.75613i −1.05979 0.301174i
\(35\) −0.0793699 0.287242i −0.0134160 0.0485527i
\(36\) 3.54252 + 2.19034i 0.590420 + 0.365056i
\(37\) −3.14507 + 3.14507i −0.517047 + 0.517047i −0.916677 0.399630i \(-0.869139\pi\)
0.399630 + 0.916677i \(0.369139\pi\)
\(38\) −2.11584 3.79583i −0.343234 0.615765i
\(39\) −2.25444 −0.360999
\(40\) −5.35495 3.36519i −0.846692 0.532083i
\(41\) −8.79014 −1.37279 −0.686394 0.727230i \(-0.740808\pi\)
−0.686394 + 0.727230i \(0.740808\pi\)
\(42\) −0.206878 0.371142i −0.0319220 0.0572684i
\(43\) −6.26368 + 6.26368i −0.955202 + 0.955202i −0.999039 0.0438365i \(-0.986042\pi\)
0.0438365 + 0.999039i \(0.486042\pi\)
\(44\) 3.55140 + 2.19583i 0.535394 + 0.331034i
\(45\) 2.29680 4.05074i 0.342387 0.603848i
\(46\) 8.55462 + 2.43108i 1.26131 + 0.358442i
\(47\) −5.57941 5.57941i −0.813840 0.813840i 0.171367 0.985207i \(-0.445182\pi\)
−0.985207 + 0.171367i \(0.945182\pi\)
\(48\) −8.55389 2.85495i −1.23465 0.412076i
\(49\) 6.98224i 0.997463i
\(50\) −3.53248 + 6.12549i −0.499568 + 0.866275i
\(51\) 10.2411i 1.43404i
\(52\) 1.94659 0.459132i 0.269943 0.0636702i
\(53\) −3.86564 3.86564i −0.530987 0.530987i 0.389879 0.920866i \(-0.372517\pi\)
−0.920866 + 0.389879i \(0.872517\pi\)
\(54\) −0.799646 + 2.81385i −0.108818 + 0.382916i
\(55\) 2.30256 4.06090i 0.310478 0.547571i
\(56\) 0.254214 + 0.278329i 0.0339708 + 0.0371933i
\(57\) −4.89855 + 4.89855i −0.648829 + 0.648829i
\(58\) 0.0745958 0.0415805i 0.00979491 0.00545979i
\(59\) 5.43037 0.706974 0.353487 0.935439i \(-0.384996\pi\)
0.353487 + 0.935439i \(0.384996\pi\)
\(60\) −2.82670 + 9.67779i −0.364925 + 1.24940i
\(61\) 12.0751 1.54606 0.773030 0.634370i \(-0.218740\pi\)
0.773030 + 0.634370i \(0.218740\pi\)
\(62\) 4.88319 2.72194i 0.620166 0.345687i
\(63\) −0.196249 + 0.196249i −0.0247250 + 0.0247250i
\(64\) 7.96726 + 0.723032i 0.995907 + 0.0903790i
\(65\) −0.595547 2.15530i −0.0738685 0.267332i
\(66\) 1.81952 6.40264i 0.223967 0.788110i
\(67\) −5.51319 5.51319i −0.673543 0.673543i 0.284988 0.958531i \(-0.408010\pi\)
−0.958531 + 0.284988i \(0.908010\pi\)
\(68\) −2.08568 8.84266i −0.252926 1.07233i
\(69\) 14.1771i 1.70673i
\(70\) 0.300171 0.295824i 0.0358773 0.0353578i
\(71\) 1.82705i 0.216831i 0.994106 + 0.108415i \(0.0345777\pi\)
−0.994106 + 0.108415i \(0.965422\pi\)
\(72\) −0.266446 + 5.88414i −0.0314010 + 0.693452i
\(73\) 10.5349 + 10.5349i 1.23301 + 1.23301i 0.962800 + 0.270213i \(0.0870942\pi\)
0.270213 + 0.962800i \(0.412906\pi\)
\(74\) −6.05056 1.71947i −0.703364 0.199884i
\(75\) 10.9322 + 2.74745i 1.26235 + 0.317248i
\(76\) 3.23201 5.22726i 0.370737 0.599608i
\(77\) −0.196741 + 0.196741i −0.0224207 + 0.0224207i
\(78\) −1.55230 2.78484i −0.175763 0.315321i
\(79\) 7.53432 0.847677 0.423839 0.905738i \(-0.360682\pi\)
0.423839 + 0.905738i \(0.360682\pi\)
\(80\) 0.469750 8.93193i 0.0525196 0.998620i
\(81\) 10.9107 1.21230
\(82\) −6.05248 10.8582i −0.668384 1.19909i
\(83\) −10.7812 + 10.7812i −1.18339 + 1.18339i −0.204524 + 0.978861i \(0.565565\pi\)
−0.978861 + 0.204524i \(0.934435\pi\)
\(84\) 0.316014 0.511102i 0.0344799 0.0557658i
\(85\) −9.79078 + 2.70536i −1.06196 + 0.293438i
\(86\) −12.0502 3.42446i −1.29941 0.369270i
\(87\) −0.0962666 0.0962666i −0.0103209 0.0103209i
\(88\) −0.267115 + 5.89889i −0.0284745 + 0.628824i
\(89\) 2.38303i 0.252600i 0.991992 + 0.126300i \(0.0403103\pi\)
−0.991992 + 0.126300i \(0.959690\pi\)
\(90\) 6.58523 + 0.0480241i 0.694144 + 0.00506218i
\(91\) 0.133272i 0.0139707i
\(92\) 2.88727 + 12.2412i 0.301019 + 1.27623i
\(93\) −6.30180 6.30180i −0.653466 0.653466i
\(94\) 3.05036 10.7338i 0.314621 1.10711i
\(95\) −5.97718 3.38911i −0.613245 0.347715i
\(96\) −2.36318 12.5322i −0.241191 1.27906i
\(97\) 8.89152 8.89152i 0.902797 0.902797i −0.0928800 0.995677i \(-0.529607\pi\)
0.995677 + 0.0928800i \(0.0296073\pi\)
\(98\) 8.62496 4.80764i 0.871252 0.485645i
\(99\) −4.34763 −0.436954
\(100\) −9.99894 0.145846i −0.999894 0.0145846i
\(101\) 8.50140 0.845921 0.422960 0.906148i \(-0.360991\pi\)
0.422960 + 0.906148i \(0.360991\pi\)
\(102\) −12.6506 + 7.05156i −1.25259 + 0.698208i
\(103\) −8.61228 + 8.61228i −0.848593 + 0.848593i −0.989958 0.141364i \(-0.954851\pi\)
0.141364 + 0.989958i \(0.454851\pi\)
\(104\) 1.90748 + 2.08842i 0.187044 + 0.204787i
\(105\) −0.584426 0.331374i −0.0570341 0.0323388i
\(106\) 2.11341 7.43682i 0.205273 0.722327i
\(107\) −7.38762 7.38762i −0.714188 0.714188i 0.253221 0.967409i \(-0.418510\pi\)
−0.967409 + 0.253221i \(0.918510\pi\)
\(108\) −4.02646 + 0.949703i −0.387446 + 0.0913852i
\(109\) 1.01282i 0.0970107i 0.998823 + 0.0485053i \(0.0154458\pi\)
−0.998823 + 0.0485053i \(0.984554\pi\)
\(110\) 6.60175 + 0.0481445i 0.629452 + 0.00459040i
\(111\) 10.0273i 0.951749i
\(112\) −0.168772 + 0.505668i −0.0159474 + 0.0477811i
\(113\) 9.77168 + 9.77168i 0.919243 + 0.919243i 0.996974 0.0777317i \(-0.0247677\pi\)
−0.0777317 + 0.996974i \(0.524768\pi\)
\(114\) −9.42395 2.67812i −0.882634 0.250829i
\(115\) 13.5537 3.74513i 1.26389 0.349235i
\(116\) 0.102726 + 0.0635157i 0.00953791 + 0.00589728i
\(117\) −1.47254 + 1.47254i −0.136137 + 0.136137i
\(118\) 3.73910 + 6.70798i 0.344212 + 0.617520i
\(119\) 0.605409 0.0554977
\(120\) −13.9010 + 3.17194i −1.26898 + 0.289557i
\(121\) 6.64146 0.603769
\(122\) 8.31436 + 14.9160i 0.752747 + 1.35043i
\(123\) −14.0126 + 14.0126i −1.26347 + 1.26347i
\(124\) 6.72467 + 4.15786i 0.603894 + 0.373387i
\(125\) 0.261300 + 11.1773i 0.0233714 + 0.999727i
\(126\) −0.377548 0.107293i −0.0336347 0.00955839i
\(127\) 3.24550 + 3.24550i 0.287992 + 0.287992i 0.836286 0.548294i \(-0.184723\pi\)
−0.548294 + 0.836286i \(0.684723\pi\)
\(128\) 4.59274 + 10.3396i 0.405945 + 0.913898i
\(129\) 19.9702i 1.75828i
\(130\) 2.25232 2.21970i 0.197541 0.194681i
\(131\) 6.82654i 0.596438i 0.954498 + 0.298219i \(0.0963925\pi\)
−0.954498 + 0.298219i \(0.903607\pi\)
\(132\) 9.16183 2.16096i 0.797435 0.188087i
\(133\) 0.289580 + 0.289580i 0.0251098 + 0.0251098i
\(134\) 3.01416 10.6064i 0.260383 0.916254i
\(135\) 1.23187 + 4.45818i 0.106023 + 0.383699i
\(136\) 9.48698 8.66502i 0.813502 0.743019i
\(137\) −15.3560 + 15.3560i −1.31195 + 1.31195i −0.391978 + 0.919975i \(0.628209\pi\)
−0.919975 + 0.391978i \(0.871791\pi\)
\(138\) 17.5126 9.76171i 1.49077 0.830972i
\(139\) 13.8537 1.17505 0.587527 0.809204i \(-0.300102\pi\)
0.587527 + 0.809204i \(0.300102\pi\)
\(140\) 0.572107 + 0.167101i 0.0483519 + 0.0141227i
\(141\) −17.7886 −1.49807
\(142\) −2.25690 + 1.25802i −0.189395 + 0.105571i
\(143\) −1.47623 + 1.47623i −0.123449 + 0.123449i
\(144\) −7.45197 + 3.72241i −0.620997 + 0.310201i
\(145\) 0.0666029 0.117464i 0.00553107 0.00975484i
\(146\) −5.75960 + 20.2672i −0.476668 + 1.67733i
\(147\) −11.1306 11.1306i −0.918035 0.918035i
\(148\) −2.04213 8.65803i −0.167862 0.711686i
\(149\) 0.756913i 0.0620087i 0.999519 + 0.0310044i \(0.00987057\pi\)
−0.999519 + 0.0310044i \(0.990129\pi\)
\(150\) 4.13358 + 15.3960i 0.337506 + 1.25708i
\(151\) 0.572673i 0.0466035i −0.999728 0.0233017i \(-0.992582\pi\)
0.999728 0.0233017i \(-0.00741784\pi\)
\(152\) 8.68250 + 0.393162i 0.704244 + 0.0318897i
\(153\) 6.68924 + 6.68924i 0.540793 + 0.540793i
\(154\) −0.378495 0.107562i −0.0305000 0.00866757i
\(155\) 4.35996 7.68941i 0.350200 0.617628i
\(156\) 2.37119 3.83502i 0.189847 0.307048i
\(157\) 5.93253 5.93253i 0.473467 0.473467i −0.429567 0.903035i \(-0.641334\pi\)
0.903035 + 0.429567i \(0.141334\pi\)
\(158\) 5.18778 + 9.30693i 0.412718 + 0.740419i
\(159\) −12.3247 −0.977409
\(160\) 11.3568 5.56984i 0.897834 0.440335i
\(161\) −0.838088 −0.0660506
\(162\) 7.51260 + 13.4777i 0.590246 + 1.05891i
\(163\) 7.64242 7.64242i 0.598601 0.598601i −0.341339 0.939940i \(-0.610881\pi\)
0.939940 + 0.341339i \(0.110881\pi\)
\(164\) 9.24537 14.9529i 0.721942 1.16763i
\(165\) −2.80301 10.1442i −0.218214 0.789723i
\(166\) −20.7411 5.89425i −1.60982 0.457483i
\(167\) 12.9350 + 12.9350i 1.00094 + 1.00094i 1.00000 0.000941800i \(0.000299784\pi\)
0.000941800 1.00000i \(0.499700\pi\)
\(168\) 0.848942 + 0.0384419i 0.0654973 + 0.00296586i
\(169\) 1.00000i 0.0769231i
\(170\) −10.0833 10.2315i −0.773356 0.784719i
\(171\) 6.39922i 0.489361i
\(172\) −4.06708 17.2432i −0.310112 1.31478i
\(173\) −14.9245 14.9245i −1.13469 1.13469i −0.989387 0.145303i \(-0.953584\pi\)
−0.145303 0.989387i \(-0.546416\pi\)
\(174\) 0.0526306 0.185200i 0.00398992 0.0140400i
\(175\) 0.162417 0.646264i 0.0122775 0.0488530i
\(176\) −7.47065 + 3.73174i −0.563122 + 0.281291i
\(177\) 8.65671 8.65671i 0.650678 0.650678i
\(178\) −2.94368 + 1.64084i −0.220638 + 0.122986i
\(179\) −19.4084 −1.45065 −0.725324 0.688408i \(-0.758310\pi\)
−0.725324 + 0.688408i \(0.758310\pi\)
\(180\) 4.47496 + 8.16761i 0.333544 + 0.608778i
\(181\) 2.31305 0.171927 0.0859637 0.996298i \(-0.472603\pi\)
0.0859637 + 0.996298i \(0.472603\pi\)
\(182\) −0.164627 + 0.0917650i −0.0122030 + 0.00680207i
\(183\) 19.2493 19.2493i 1.42295 1.42295i
\(184\) −13.1332 + 11.9953i −0.968189 + 0.884304i
\(185\) −9.58636 + 2.64888i −0.704803 + 0.194749i
\(186\) 3.44531 12.1236i 0.252622 0.888942i
\(187\) 6.70602 + 6.70602i 0.490393 + 0.490393i
\(188\) 15.3595 3.62277i 1.12021 0.264218i
\(189\) 0.275670i 0.0200520i
\(190\) 0.0708632 9.71702i 0.00514096 0.704946i
\(191\) 11.2217i 0.811974i −0.913879 0.405987i \(-0.866928\pi\)
0.913879 0.405987i \(-0.133072\pi\)
\(192\) 13.8534 11.5482i 0.999786 0.833421i
\(193\) 3.78263 + 3.78263i 0.272280 + 0.272280i 0.830017 0.557738i \(-0.188330\pi\)
−0.557738 + 0.830017i \(0.688330\pi\)
\(194\) 17.1057 + 4.86115i 1.22812 + 0.349010i
\(195\) −4.38520 2.48645i −0.314031 0.178058i
\(196\) 11.8775 + 7.34384i 0.848392 + 0.524560i
\(197\) 10.5230 10.5230i 0.749733 0.749733i −0.224696 0.974429i \(-0.572139\pi\)
0.974429 + 0.224696i \(0.0721388\pi\)
\(198\) −2.99358 5.37051i −0.212744 0.381665i
\(199\) 26.8755 1.90515 0.952576 0.304301i \(-0.0984229\pi\)
0.952576 + 0.304301i \(0.0984229\pi\)
\(200\) −6.70464 12.4518i −0.474090 0.880477i
\(201\) −17.5774 −1.23982
\(202\) 5.85366 + 10.5015i 0.411862 + 0.738885i
\(203\) −0.00569084 + 0.00569084i −0.000399419 + 0.000399419i
\(204\) −17.4212 10.7715i −1.21973 0.754156i
\(205\) −17.0981 9.69475i −1.19418 0.677111i
\(206\) −16.5685 4.70849i −1.15438 0.328056i
\(207\) −9.26015 9.26015i −0.643625 0.643625i
\(208\) −1.26637 + 3.79425i −0.0878068 + 0.263084i
\(209\) 6.41527i 0.443753i
\(210\) 0.00692874 0.950093i 0.000478128 0.0655626i
\(211\) 15.1096i 1.04019i 0.854108 + 0.520095i \(0.174103\pi\)
−0.854108 + 0.520095i \(0.825897\pi\)
\(212\) 10.6417 2.51000i 0.730874 0.172388i
\(213\) 2.91255 + 2.91255i 0.199565 + 0.199565i
\(214\) 4.03894 14.2125i 0.276096 0.971545i
\(215\) −19.0920 + 5.27547i −1.30207 + 0.359784i
\(216\) −3.94557 4.31985i −0.268462 0.293929i
\(217\) −0.372534 + 0.372534i −0.0252893 + 0.0252893i
\(218\) −1.25111 + 0.697381i −0.0847358 + 0.0472326i
\(219\) 33.5879 2.26966
\(220\) 4.48618 + 8.18810i 0.302458 + 0.552041i
\(221\) 4.54265 0.305572
\(222\) −12.3864 + 6.90433i −0.831322 + 0.463388i
\(223\) −14.4646 + 14.4646i −0.968622 + 0.968622i −0.999522 0.0309000i \(-0.990163\pi\)
0.0309000 + 0.999522i \(0.490163\pi\)
\(224\) −0.740845 + 0.139700i −0.0494998 + 0.00933413i
\(225\) 8.93522 5.34610i 0.595681 0.356406i
\(226\) −5.34235 + 18.7990i −0.355368 + 1.25049i
\(227\) −13.3452 13.3452i −0.885752 0.885752i 0.108360 0.994112i \(-0.465440\pi\)
−0.994112 + 0.108360i \(0.965440\pi\)
\(228\) −3.18068 13.4852i −0.210646 0.893077i
\(229\) 10.2433i 0.676897i −0.940985 0.338448i \(-0.890098\pi\)
0.940985 0.338448i \(-0.109902\pi\)
\(230\) 13.9587 + 14.1638i 0.920409 + 0.933932i
\(231\) 0.627261i 0.0412707i
\(232\) −0.00772644 + 0.170629i −0.000507266 + 0.0112023i
\(233\) 5.58926 + 5.58926i 0.366165 + 0.366165i 0.866076 0.499912i \(-0.166634\pi\)
−0.499912 + 0.866076i \(0.666634\pi\)
\(234\) −2.83291 0.805064i −0.185193 0.0526287i
\(235\) −4.69915 17.0063i −0.306539 1.10937i
\(236\) −5.71160 + 9.23761i −0.371794 + 0.601317i
\(237\) 12.0107 12.0107i 0.780177 0.780177i
\(238\) 0.416856 + 0.747844i 0.0270208 + 0.0484755i
\(239\) −16.4914 −1.06674 −0.533369 0.845883i \(-0.679074\pi\)
−0.533369 + 0.845883i \(0.679074\pi\)
\(240\) −13.4898 14.9875i −0.870763 0.967438i
\(241\) 15.4546 0.995520 0.497760 0.867315i \(-0.334156\pi\)
0.497760 + 0.867315i \(0.334156\pi\)
\(242\) 4.57300 + 8.20401i 0.293964 + 0.527373i
\(243\) 13.0052 13.0052i 0.834282 0.834282i
\(244\) −12.7005 + 20.5410i −0.813064 + 1.31500i
\(245\) 7.70080 13.5815i 0.491986 0.867687i
\(246\) −26.9578 7.66094i −1.71877 0.488443i
\(247\) 2.17285 + 2.17285i 0.138255 + 0.138255i
\(248\) −0.505788 + 11.1697i −0.0321176 + 0.709277i
\(249\) 34.3731i 2.17831i
\(250\) −13.6271 + 8.01893i −0.861851 + 0.507162i
\(251\) 4.89967i 0.309264i 0.987972 + 0.154632i \(0.0494193\pi\)
−0.987972 + 0.154632i \(0.950581\pi\)
\(252\) −0.127427 0.540251i −0.00802712 0.0340326i
\(253\) −9.28337 9.28337i −0.583640 0.583640i
\(254\) −1.77437 + 6.24377i −0.111334 + 0.391769i
\(255\) −11.2951 + 19.9205i −0.707324 + 1.24747i
\(256\) −9.60982 + 12.7926i −0.600614 + 0.799539i
\(257\) 4.80358 4.80358i 0.299639 0.299639i −0.541233 0.840872i \(-0.682042\pi\)
0.840872 + 0.541233i \(0.182042\pi\)
\(258\) −24.6686 + 13.7506i −1.53580 + 0.856072i
\(259\) 0.592768 0.0368328
\(260\) 4.29277 + 1.25384i 0.266226 + 0.0777596i
\(261\) −0.125758 −0.00778421
\(262\) −8.43263 + 4.70044i −0.520969 + 0.290394i
\(263\) 2.65042 2.65042i 0.163432 0.163432i −0.620653 0.784085i \(-0.713133\pi\)
0.784085 + 0.620653i \(0.213133\pi\)
\(264\) 8.97778 + 9.82941i 0.552544 + 0.604958i
\(265\) −3.25576 11.7827i −0.200000 0.723805i
\(266\) −0.158319 + 0.557101i −0.00970714 + 0.0341581i
\(267\) 3.79885 + 3.79885i 0.232486 + 0.232486i
\(268\) 15.1772 3.57977i 0.927094 0.218669i
\(269\) 22.6452i 1.38070i −0.723475 0.690351i \(-0.757456\pi\)
0.723475 0.690351i \(-0.242544\pi\)
\(270\) −4.65885 + 4.59139i −0.283529 + 0.279423i
\(271\) 26.9231i 1.63546i −0.575602 0.817730i \(-0.695232\pi\)
0.575602 0.817730i \(-0.304768\pi\)
\(272\) 17.2359 + 5.75267i 1.04508 + 0.348807i
\(273\) 0.212453 + 0.212453i 0.0128582 + 0.0128582i
\(274\) −29.5423 8.39540i −1.78471 0.507185i
\(275\) 8.95763 5.35950i 0.540165 0.323190i
\(276\) 24.1167 + 14.9113i 1.45166 + 0.897558i
\(277\) −5.20649 + 5.20649i −0.312828 + 0.312828i −0.846004 0.533176i \(-0.820998\pi\)
0.533176 + 0.846004i \(0.320998\pi\)
\(278\) 9.53900 + 17.1131i 0.572111 + 1.02637i
\(279\) −8.23235 −0.492858
\(280\) 0.187511 + 0.821766i 0.0112059 + 0.0491099i
\(281\) −9.45951 −0.564307 −0.282154 0.959369i \(-0.591049\pi\)
−0.282154 + 0.959369i \(0.591049\pi\)
\(282\) −12.2484 21.9737i −0.729380 1.30852i
\(283\) −3.21144 + 3.21144i −0.190900 + 0.190900i −0.796085 0.605185i \(-0.793099\pi\)
0.605185 + 0.796085i \(0.293099\pi\)
\(284\) −3.10800 1.92167i −0.184426 0.114030i
\(285\) −14.9311 + 4.12571i −0.884440 + 0.244386i
\(286\) −2.84002 0.807084i −0.167934 0.0477238i
\(287\) 0.828362 + 0.828362i 0.0488966 + 0.0488966i
\(288\) −9.72926 6.64212i −0.573302 0.391391i
\(289\) 3.63568i 0.213863i
\(290\) 0.190959 + 0.00139261i 0.0112135 + 8.17767e-5i
\(291\) 28.3485i 1.66182i
\(292\) −29.0013 + 6.84041i −1.69717 + 0.400305i
\(293\) 8.77038 + 8.77038i 0.512371 + 0.512371i 0.915252 0.402881i \(-0.131991\pi\)
−0.402881 + 0.915252i \(0.631991\pi\)
\(294\) 6.08529 21.4133i 0.354901 1.24885i
\(295\) 10.5629 + 5.98923i 0.614993 + 0.348706i
\(296\) 9.28890 8.48410i 0.539906 0.493128i
\(297\) 3.05355 3.05355i 0.177185 0.177185i
\(298\) −0.934992 + 0.521175i −0.0541627 + 0.0301908i
\(299\) −6.28855 −0.363676
\(300\) −16.1721 + 15.7071i −0.933696 + 0.906849i
\(301\) 1.18055 0.0680457
\(302\) 0.707406 0.394316i 0.0407066 0.0226903i
\(303\) 13.5523 13.5523i 0.778560 0.778560i
\(304\) 5.49270 + 10.9960i 0.315028 + 0.630661i
\(305\) 23.4878 + 13.3178i 1.34491 + 0.762575i
\(306\) −3.65713 + 12.8689i −0.209064 + 0.735668i
\(307\) −14.7552 14.7552i −0.842126 0.842126i 0.147009 0.989135i \(-0.453035\pi\)
−0.989135 + 0.147009i \(0.953035\pi\)
\(308\) −0.127746 0.541606i −0.00727901 0.0308609i
\(309\) 27.4582i 1.56204i
\(310\) 12.5006 + 0.0911629i 0.709985 + 0.00517770i
\(311\) 12.7852i 0.724982i 0.931987 + 0.362491i \(0.118074\pi\)
−0.931987 + 0.362491i \(0.881926\pi\)
\(312\) 6.36998 + 0.288447i 0.360629 + 0.0163301i
\(313\) −22.1230 22.1230i −1.25047 1.25047i −0.955511 0.294954i \(-0.904696\pi\)
−0.294954 0.955511i \(-0.595304\pi\)
\(314\) 11.4131 + 3.24342i 0.644081 + 0.183037i
\(315\) −0.598177 + 0.165287i −0.0337035 + 0.00931286i
\(316\) −7.92451 + 12.8166i −0.445789 + 0.720992i
\(317\) −3.78179 + 3.78179i −0.212407 + 0.212407i −0.805289 0.592882i \(-0.797990\pi\)
0.592882 + 0.805289i \(0.297990\pi\)
\(318\) −8.48618 15.2243i −0.475882 0.853736i
\(319\) −0.126073 −0.00705874
\(320\) 14.7000 + 10.1936i 0.821756 + 0.569839i
\(321\) −23.5536 −1.31463
\(322\) −0.577068 1.03527i −0.0321588 0.0576931i
\(323\) 9.87049 9.87049i 0.549209 0.549209i
\(324\) −11.4758 + 18.5602i −0.637542 + 1.03112i
\(325\) 1.21868 4.84921i 0.0676004 0.268986i
\(326\) 14.7027 + 4.17825i 0.814306 + 0.231412i
\(327\) 1.61457 + 1.61457i 0.0892857 + 0.0892857i
\(328\) 24.8368 + 1.12466i 1.37138 + 0.0620992i
\(329\) 1.05158i 0.0579755i
\(330\) 10.6008 10.4473i 0.583554 0.575104i
\(331\) 14.0262i 0.770949i −0.922718 0.385474i \(-0.874038\pi\)
0.922718 0.385474i \(-0.125962\pi\)
\(332\) −7.00033 29.6793i −0.384193 1.62886i
\(333\) 6.54957 + 6.54957i 0.358914 + 0.358914i
\(334\) −7.07180 + 24.8847i −0.386952 + 1.36163i
\(335\) −4.64338 16.8045i −0.253695 0.918128i
\(336\) 0.537055 + 1.07514i 0.0292988 + 0.0586538i
\(337\) −18.0690 + 18.0690i −0.984283 + 0.984283i −0.999878 0.0155953i \(-0.995036\pi\)
0.0155953 + 0.999878i \(0.495036\pi\)
\(338\) −1.23527 + 0.688553i −0.0671899 + 0.0374524i
\(339\) 31.1546 1.69209
\(340\) 5.69574 19.5006i 0.308895 1.05757i
\(341\) −8.25300 −0.446925
\(342\) −7.90477 + 4.40620i −0.427441 + 0.238260i
\(343\) −1.31765 + 1.31765i −0.0711466 + 0.0711466i
\(344\) 18.4996 16.8968i 0.997434 0.911015i
\(345\) 15.6361 27.5766i 0.841821 1.48467i
\(346\) 8.15950 28.7122i 0.438657 1.54358i
\(347\) −8.63601 8.63601i −0.463605 0.463605i 0.436230 0.899835i \(-0.356313\pi\)
−0.899835 + 0.436230i \(0.856313\pi\)
\(348\) 0.265011 0.0625069i 0.0142061 0.00335072i
\(349\) 13.6417i 0.730224i −0.930964 0.365112i \(-0.881031\pi\)
0.930964 0.365112i \(-0.118969\pi\)
\(350\) 0.910144 0.244359i 0.0486492 0.0130615i
\(351\) 2.06847i 0.110407i
\(352\) −9.75366 6.65878i −0.519872 0.354914i
\(353\) −5.16802 5.16802i −0.275066 0.275066i 0.556070 0.831136i \(-0.312309\pi\)
−0.831136 + 0.556070i \(0.812309\pi\)
\(354\) 16.6540 + 4.73278i 0.885149 + 0.251544i
\(355\) −2.01508 + 3.55388i −0.106949 + 0.188620i
\(356\) −4.05377 2.50644i −0.214849 0.132841i
\(357\) 0.965099 0.965099i 0.0510785 0.0510785i
\(358\) −13.3637 23.9746i −0.706293 1.26710i
\(359\) −19.8311 −1.04665 −0.523323 0.852135i \(-0.675308\pi\)
−0.523323 + 0.852135i \(0.675308\pi\)
\(360\) −7.00796 + 11.1516i −0.369352 + 0.587742i
\(361\) −9.55746 −0.503024
\(362\) 1.59266 + 2.85724i 0.0837081 + 0.150173i
\(363\) 10.5873 10.5873i 0.555691 0.555691i
\(364\) −0.226709 0.140174i −0.0118828 0.00734712i
\(365\) 8.87280 + 32.1109i 0.464423 + 1.68076i
\(366\) 37.0322 + 10.5239i 1.93571 + 0.550094i
\(367\) 16.2512 + 16.2512i 0.848307 + 0.848307i 0.989922 0.141615i \(-0.0452296\pi\)
−0.141615 + 0.989922i \(0.545230\pi\)
\(368\) −23.8603 7.96361i −1.24380 0.415132i
\(369\) 18.3054i 0.952939i
\(370\) −9.87280 10.0179i −0.513262 0.520803i
\(371\) 0.728578i 0.0378259i
\(372\) 17.3482 4.09183i 0.899460 0.212151i
\(373\) −1.04006 1.04006i −0.0538523 0.0538523i 0.679668 0.733520i \(-0.262124\pi\)
−0.733520 + 0.679668i \(0.762124\pi\)
\(374\) −3.66630 + 12.9012i −0.189580 + 0.667105i
\(375\) 18.2346 + 17.4015i 0.941629 + 0.898608i
\(376\) 15.0509 + 16.4787i 0.776192 + 0.849822i
\(377\) −0.0427009 + 0.0427009i −0.00219921 + 0.00219921i
\(378\) 0.340527 0.189813i 0.0175148 0.00976295i
\(379\) −2.91119 −0.149538 −0.0747690 0.997201i \(-0.523822\pi\)
−0.0747690 + 0.997201i \(0.523822\pi\)
\(380\) 12.0519 6.60315i 0.618252 0.338734i
\(381\) 10.3475 0.530118
\(382\) 13.8618 7.72674i 0.709233 0.395334i
\(383\) −1.22555 + 1.22555i −0.0626229 + 0.0626229i −0.737725 0.675102i \(-0.764100\pi\)
0.675102 + 0.737725i \(0.264100\pi\)
\(384\) 23.8040 + 9.16118i 1.21474 + 0.467504i
\(385\) −0.599678 + 0.165701i −0.0305624 + 0.00844492i
\(386\) −2.06803 + 7.27712i −0.105260 + 0.370395i
\(387\) 13.0440 + 13.0440i 0.663066 + 0.663066i
\(388\) 5.77336 + 24.4774i 0.293098 + 1.24265i
\(389\) 30.1820i 1.53029i −0.643860 0.765144i \(-0.722668\pi\)
0.643860 0.765144i \(-0.277332\pi\)
\(390\) 0.0519894 7.12897i 0.00263258 0.360989i
\(391\) 28.5667i 1.44468i
\(392\) −0.893351 + 19.7285i −0.0451210 + 0.996442i
\(393\) 10.8824 + 10.8824i 0.548943 + 0.548943i
\(394\) 20.2444 + 5.75312i 1.01990 + 0.289838i
\(395\) 14.6553 + 8.30970i 0.737390 + 0.418106i
\(396\) 4.57279 7.39576i 0.229791 0.371651i
\(397\) −25.8661 + 25.8661i −1.29818 + 1.29818i −0.368588 + 0.929593i \(0.620159\pi\)
−0.929593 + 0.368588i \(0.879841\pi\)
\(398\) 18.5052 + 33.1985i 0.927582 + 1.66409i
\(399\) 0.923256 0.0462206
\(400\) 10.7649 16.8558i 0.538243 0.842789i
\(401\) −4.32311 −0.215886 −0.107943 0.994157i \(-0.534426\pi\)
−0.107943 + 0.994157i \(0.534426\pi\)
\(402\) −12.1030 21.7129i −0.603643 1.08294i
\(403\) −2.79529 + 2.79529i −0.139243 + 0.139243i
\(404\) −8.94167 + 14.4617i −0.444865 + 0.719498i
\(405\) 21.2229 + 12.0336i 1.05457 + 0.597952i
\(406\) −0.0109482 0.00311129i −0.000543349 0.000154410i
\(407\) 6.56600 + 6.56600i 0.325465 + 0.325465i
\(408\) 1.31031 28.9366i 0.0648701 1.43258i
\(409\) 15.2460i 0.753868i 0.926240 + 0.376934i \(0.123022\pi\)
−0.926240 + 0.376934i \(0.876978\pi\)
\(410\) 0.202709 27.7961i 0.0100111 1.37275i
\(411\) 48.9589i 2.41496i
\(412\) −5.59205 23.7087i −0.275501 1.16804i
\(413\) −0.511746 0.511746i −0.0251814 0.0251814i
\(414\) 5.06268 17.8149i 0.248817 0.875554i
\(415\) −32.8616 + 9.08023i −1.61311 + 0.445731i
\(416\) −5.55889 + 1.04823i −0.272547 + 0.0513939i
\(417\) 22.0845 22.0845i 1.08148 1.08148i
\(418\) −7.92460 + 4.41725i −0.387605 + 0.216055i
\(419\) −12.3653 −0.604086 −0.302043 0.953294i \(-0.597669\pi\)
−0.302043 + 0.953294i \(0.597669\pi\)
\(420\) 1.17839 0.645631i 0.0574997 0.0315036i
\(421\) 4.28664 0.208918 0.104459 0.994529i \(-0.466689\pi\)
0.104459 + 0.994529i \(0.466689\pi\)
\(422\) −18.6645 + 10.4038i −0.908573 + 0.506448i
\(423\) −11.6190 + 11.6190i −0.564937 + 0.564937i
\(424\) 10.4279 + 11.4171i 0.506424 + 0.554463i
\(425\) −22.0283 5.53606i −1.06853 0.268538i
\(426\) −1.59234 + 5.60324i −0.0771493 + 0.271478i
\(427\) −1.13793 1.13793i −0.0550683 0.0550683i
\(428\) 20.3373 4.79686i 0.983040 0.231865i
\(429\) 4.70661i 0.227237i
\(430\) −19.6625 19.9514i −0.948211 0.962143i
\(431\) 2.48796i 0.119841i 0.998203 + 0.0599203i \(0.0190847\pi\)
−0.998203 + 0.0599203i \(0.980915\pi\)
\(432\) 2.61945 7.84830i 0.126028 0.377601i
\(433\) 24.3736 + 24.3736i 1.17132 + 1.17132i 0.981896 + 0.189423i \(0.0606617\pi\)
0.189423 + 0.981896i \(0.439338\pi\)
\(434\) −0.716690 0.203671i −0.0344022 0.00977652i
\(435\) −0.0810787 0.293426i −0.00388743 0.0140687i
\(436\) −1.72291 1.06527i −0.0825124 0.0510174i
\(437\) −13.6641 + 13.6641i −0.653641 + 0.653641i
\(438\) 23.1270 + 41.4901i 1.10505 + 1.98248i
\(439\) 10.8728 0.518932 0.259466 0.965752i \(-0.416453\pi\)
0.259466 + 0.965752i \(0.416453\pi\)
\(440\) −7.02554 + 11.1796i −0.334930 + 0.532966i
\(441\) −14.5404 −0.692401
\(442\) 3.12786 + 5.61140i 0.148777 + 0.266907i
\(443\) 10.5626 10.5626i 0.501843 0.501843i −0.410167 0.912010i \(-0.634530\pi\)
0.912010 + 0.410167i \(0.134530\pi\)
\(444\) −17.0574 10.5466i −0.809510 0.500519i
\(445\) −2.62827 + 4.63533i −0.124592 + 0.219736i
\(446\) −27.8274 7.90806i −1.31766 0.374458i
\(447\) 1.20662 + 1.20662i 0.0570710 + 0.0570710i
\(448\) −0.682679 0.818953i −0.0322536 0.0386919i
\(449\) 4.27598i 0.201796i −0.994897 0.100898i \(-0.967828\pi\)
0.994897 0.100898i \(-0.0321716\pi\)
\(450\) 12.7563 + 7.35635i 0.601336 + 0.346782i
\(451\) 18.3513i 0.864127i
\(452\) −26.9004 + 6.34486i −1.26529 + 0.298437i
\(453\) −0.912914 0.912914i −0.0428924 0.0428924i
\(454\) 7.29605 25.6738i 0.342421 1.20493i
\(455\) −0.146988 + 0.259233i −0.00689088 + 0.0121531i
\(456\) 14.4678 13.2143i 0.677515 0.618814i
\(457\) 21.4651 21.4651i 1.00409 1.00409i 0.00410307 0.999992i \(-0.498694\pi\)
0.999992 0.00410307i \(-0.00130605\pi\)
\(458\) 12.6533 7.05306i 0.591248 0.329568i
\(459\) −9.39635 −0.438584
\(460\) −7.88481 + 26.9953i −0.367631 + 1.25866i
\(461\) −0.993976 −0.0462941 −0.0231470 0.999732i \(-0.507369\pi\)
−0.0231470 + 0.999732i \(0.507369\pi\)
\(462\) −0.774837 + 0.431902i −0.0360487 + 0.0200939i
\(463\) −6.21086 + 6.21086i −0.288643 + 0.288643i −0.836544 0.547900i \(-0.815427\pi\)
0.547900 + 0.836544i \(0.315427\pi\)
\(464\) −0.216093 + 0.107943i −0.0100319 + 0.00501112i
\(465\) −5.30757 19.2082i −0.246133 0.890761i
\(466\) −3.05575 + 10.7528i −0.141555 + 0.498112i
\(467\) −1.63295 1.63295i −0.0755640 0.0755640i 0.668315 0.743879i \(-0.267016\pi\)
−0.743879 + 0.668315i \(0.767016\pi\)
\(468\) −0.956138 4.05374i −0.0441975 0.187384i
\(469\) 1.03910i 0.0479812i
\(470\) 17.7718 17.5145i 0.819753 0.807883i
\(471\) 18.9144i 0.871530i
\(472\) −15.3437 0.694795i −0.706251 0.0319805i
\(473\) 13.0768 + 13.0768i 0.601270 + 0.601270i
\(474\) 23.1064 + 6.56645i 1.06131 + 0.301607i
\(475\) −7.88858 13.1846i −0.361953 0.604951i
\(476\) −0.636762 + 1.02986i −0.0291859 + 0.0472036i
\(477\) −8.05015 + 8.05015i −0.368591 + 0.368591i
\(478\) −11.3552 20.3713i −0.519374 0.931761i
\(479\) −17.0521 −0.779128 −0.389564 0.920999i \(-0.627374\pi\)
−0.389564 + 0.920999i \(0.627374\pi\)
\(480\) 9.22515 26.9832i 0.421069 1.23161i
\(481\) 4.44780 0.202802
\(482\) 10.6413 + 19.0906i 0.484699 + 0.869555i
\(483\) −1.33602 + 1.33602i −0.0607910 + 0.0607910i
\(484\) −6.98542 + 11.2978i −0.317519 + 0.513536i
\(485\) 27.1019 7.48872i 1.23063 0.340045i
\(486\) 25.0197 + 7.11016i 1.13491 + 0.322523i
\(487\) 8.69411 + 8.69411i 0.393968 + 0.393968i 0.876099 0.482131i \(-0.160137\pi\)
−0.482131 + 0.876099i \(0.660137\pi\)
\(488\) −34.1186 1.54496i −1.54448 0.0699372i
\(489\) 24.3660i 1.10187i
\(490\) 22.0792 + 0.161017i 0.997436 + 0.00727400i
\(491\) 28.2356i 1.27425i −0.770759 0.637127i \(-0.780123\pi\)
0.770759 0.637127i \(-0.219877\pi\)
\(492\) −9.09854 38.5751i −0.410194 1.73910i
\(493\) 0.193975 + 0.193975i 0.00873621 + 0.00873621i
\(494\) −1.18793 + 4.18018i −0.0534477 + 0.188075i
\(495\) −8.45677 4.79506i −0.380104 0.215522i
\(496\) −14.1459 + 7.06615i −0.635168 + 0.317280i
\(497\) 0.172177 0.172177i 0.00772319 0.00772319i
\(498\) −42.4601 + 23.6677i −1.90268 + 1.06058i
\(499\) −21.6541 −0.969373 −0.484686 0.874688i \(-0.661066\pi\)
−0.484686 + 0.874688i \(0.661066\pi\)
\(500\) −19.2885 11.3116i −0.862608 0.505872i
\(501\) 41.2401 1.84247
\(502\) −6.05242 + 3.37368i −0.270133 + 0.150575i
\(503\) 24.6105 24.6105i 1.09733 1.09733i 0.102604 0.994722i \(-0.467283\pi\)
0.994722 0.102604i \(-0.0327174\pi\)
\(504\) 0.579616 0.529398i 0.0258182 0.0235813i
\(505\) 16.5364 + 9.37630i 0.735862 + 0.417240i
\(506\) 5.07538 17.8596i 0.225628 0.793955i
\(507\) 1.59413 + 1.59413i 0.0707977 + 0.0707977i
\(508\) −8.93450 + 2.10734i −0.396404 + 0.0934980i
\(509\) 9.64884i 0.427677i −0.976869 0.213839i \(-0.931403\pi\)
0.976869 0.213839i \(-0.0685966\pi\)
\(510\) −32.3844 0.236170i −1.43401 0.0104578i
\(511\) 1.98556i 0.0878362i
\(512\) −22.4192 3.06233i −0.990800 0.135337i
\(513\) −4.49448 4.49448i −0.198436 0.198436i
\(514\) 9.24124 + 2.62620i 0.407614 + 0.115837i
\(515\) −26.2507 + 7.25353i −1.15675 + 0.319629i
\(516\) −33.9713 21.0044i −1.49550 0.924669i
\(517\) −11.6482 + 11.6482i −0.512287 + 0.512287i
\(518\) 0.408153 + 0.732229i 0.0179332 + 0.0321723i
\(519\) −47.5832 −2.08867
\(520\) 1.40698 + 6.16607i 0.0616999 + 0.270400i
\(521\) −14.6649 −0.642481 −0.321241 0.946998i \(-0.604100\pi\)
−0.321241 + 0.946998i \(0.604100\pi\)
\(522\) −0.0865909 0.155345i −0.00378998 0.00679926i
\(523\) −11.9835 + 11.9835i −0.524002 + 0.524002i −0.918778 0.394776i \(-0.870822\pi\)
0.394776 + 0.918778i \(0.370822\pi\)
\(524\) −11.6126 7.18008i −0.507300 0.313663i
\(525\) −0.771315 1.28914i −0.0336629 0.0562627i
\(526\) 5.09894 + 1.44903i 0.222324 + 0.0631808i
\(527\) 12.6980 + 12.6980i 0.553134 + 0.553134i
\(528\) −5.96030 + 17.8581i −0.259389 + 0.777172i
\(529\) 16.5458i 0.719383i
\(530\) 12.3131 12.1348i 0.534845 0.527100i
\(531\) 11.3087i 0.490755i
\(532\) −0.797182 + 0.188028i −0.0345622 + 0.00815203i
\(533\) 6.21556 + 6.21556i 0.269226 + 0.269226i
\(534\) −2.07690 + 7.30832i −0.0898762 + 0.316262i
\(535\) −6.22208 22.5179i −0.269004 0.973533i
\(536\) 14.8723 + 16.2831i 0.642385 + 0.703322i
\(537\) −30.9394 + 30.9394i −1.33513 + 1.33513i
\(538\) 27.9730 15.5924i 1.20600 0.672237i
\(539\) −14.5769 −0.627871
\(540\) −8.87948 2.59353i −0.382112 0.111608i
\(541\) −27.1382 −1.16676 −0.583381 0.812199i \(-0.698270\pi\)
−0.583381 + 0.812199i \(0.698270\pi\)
\(542\) 33.2573 18.5380i 1.42852 0.796274i
\(543\) 3.68729 3.68729i 0.158237 0.158237i
\(544\) 4.76176 + 25.2521i 0.204159 + 1.08267i
\(545\) −1.11705 + 1.97008i −0.0478493 + 0.0843891i
\(546\) −0.116152 + 0.408722i −0.00497084 + 0.0174917i
\(547\) 5.39191 + 5.39191i 0.230541 + 0.230541i 0.812919 0.582377i \(-0.197877\pi\)
−0.582377 + 0.812919i \(0.697877\pi\)
\(548\) −9.97083 42.2734i −0.425933 1.80583i
\(549\) 25.1463i 1.07322i
\(550\) 12.7882 + 7.37480i 0.545293 + 0.314462i
\(551\) 0.185565i 0.00790535i
\(552\) −1.81391 + 40.0579i −0.0772051 + 1.70498i
\(553\) −0.710017 0.710017i −0.0301930 0.0301930i
\(554\) −10.0164 2.84648i −0.425555 0.120935i
\(555\) −11.0592 + 19.5045i −0.469438 + 0.827921i
\(556\) −14.5711 + 23.5665i −0.617954 + 0.999442i
\(557\) −0.668452 + 0.668452i −0.0283232 + 0.0283232i −0.721127 0.692803i \(-0.756375\pi\)
0.692803 + 0.721127i \(0.256375\pi\)
\(558\) −5.66841 10.1692i −0.239963 0.430496i
\(559\) 8.85818 0.374661
\(560\) −0.885992 + 0.797456i −0.0374400 + 0.0336987i
\(561\) 21.3805 0.902686
\(562\) −6.51338 11.6851i −0.274750 0.492904i
\(563\) −14.4182 + 14.4182i −0.607655 + 0.607655i −0.942333 0.334677i \(-0.891373\pi\)
0.334677 + 0.942333i \(0.391373\pi\)
\(564\) 18.7098 30.2601i 0.787826 1.27418i
\(565\) 8.23001 + 29.7846i 0.346239 + 1.25305i
\(566\) −6.17824 1.75575i −0.259691 0.0737997i
\(567\) −1.02820 1.02820i −0.0431803 0.0431803i
\(568\) 0.233764 5.16239i 0.00980852 0.216609i
\(569\) 20.5835i 0.862906i −0.902135 0.431453i \(-0.858001\pi\)
0.902135 0.431453i \(-0.141999\pi\)
\(570\) −15.3772 15.6031i −0.644080 0.653543i
\(571\) 0.606956i 0.0254003i −0.999919 0.0127002i \(-0.995957\pi\)
0.999919 0.0127002i \(-0.00404270\pi\)
\(572\) −0.958536 4.06391i −0.0400784 0.169921i
\(573\) −17.8888 17.8888i −0.747316 0.747316i
\(574\) −0.452880 + 1.59362i −0.0189028 + 0.0665165i
\(575\) 30.4945 + 7.66375i 1.27171 + 0.319601i
\(576\) 1.50571 16.5917i 0.0627377 0.691322i
\(577\) 20.2057 20.2057i 0.841174 0.841174i −0.147838 0.989012i \(-0.547231\pi\)
0.989012 + 0.147838i \(0.0472314\pi\)
\(578\) 4.49105 2.50336i 0.186803 0.104126i
\(579\) 12.0600 0.501196
\(580\) 0.129765 + 0.236845i 0.00538821 + 0.00983447i
\(581\) 2.03198 0.0843008
\(582\) 35.0180 19.5194i 1.45154 0.809106i
\(583\) −8.07034 + 8.07034i −0.334239 + 0.334239i
\(584\) −28.4187 31.1145i −1.17598 1.28753i
\(585\) −4.48839 + 1.24022i −0.185572 + 0.0512768i
\(586\) −4.79492 + 16.8727i −0.198076 + 0.697003i
\(587\) 27.3636 + 27.3636i 1.12942 + 1.12942i 0.990272 + 0.139147i \(0.0444360\pi\)
0.139147 + 0.990272i \(0.455564\pi\)
\(588\) 30.6413 7.22721i 1.26362 0.298045i
\(589\) 12.1475i 0.500528i
\(590\) −0.125229 + 17.1719i −0.00515561 + 0.706956i
\(591\) 33.5500i 1.38006i
\(592\) 16.8761 + 5.63255i 0.693602 + 0.231496i
\(593\) −22.7433 22.7433i −0.933954 0.933954i 0.0639961 0.997950i \(-0.479615\pi\)
−0.997950 + 0.0639961i \(0.979615\pi\)
\(594\) 5.87450 + 1.66943i 0.241034 + 0.0684976i
\(595\) 1.17761 + 0.667713i 0.0482772 + 0.0273736i
\(596\) −1.28758 0.796112i −0.0527415 0.0326100i
\(597\) 42.8429 42.8429i 1.75345 1.75345i
\(598\) −4.33000 7.76806i −0.177067 0.317660i
\(599\) 10.1945 0.416534 0.208267 0.978072i \(-0.433218\pi\)
0.208267 + 0.978072i \(0.433218\pi\)
\(600\) −30.5378 9.16174i −1.24670 0.374026i
\(601\) −29.0983 −1.18694 −0.593471 0.804855i \(-0.702243\pi\)
−0.593471 + 0.804855i \(0.702243\pi\)
\(602\) 0.812871 + 1.45830i 0.0331301 + 0.0594358i
\(603\) −11.4811 + 11.4811i −0.467548 + 0.467548i
\(604\) 0.974174 + 0.602331i 0.0396386 + 0.0245085i
\(605\) 12.9186 + 7.32495i 0.525216 + 0.297802i
\(606\) 26.0723 + 7.40929i 1.05911 + 0.300982i
\(607\) 33.7644 + 33.7644i 1.37045 + 1.37045i 0.859767 + 0.510687i \(0.170609\pi\)
0.510687 + 0.859767i \(0.329391\pi\)
\(608\) −9.80096 + 14.3563i −0.397481 + 0.582224i
\(609\) 0.0181439i 0.000735227i
\(610\) −0.278463 + 38.1838i −0.0112746 + 1.54602i
\(611\) 7.89047i 0.319214i
\(612\) −18.4147 + 4.34340i −0.744372 + 0.175571i
\(613\) −22.7265 22.7265i −0.917913 0.917913i 0.0789647 0.996877i \(-0.474839\pi\)
−0.996877 + 0.0789647i \(0.974839\pi\)
\(614\) 8.06695 28.3865i 0.325556 1.14559i
\(615\) −42.7112 + 11.8018i −1.72228 + 0.475896i
\(616\) 0.581070 0.530726i 0.0234120 0.0213835i
\(617\) −6.40115 + 6.40115i −0.257700 + 0.257700i −0.824118 0.566418i \(-0.808329\pi\)
0.566418 + 0.824118i \(0.308329\pi\)
\(618\) −33.9183 + 18.9064i −1.36439 + 0.760527i
\(619\) 18.4358 0.740998 0.370499 0.928833i \(-0.379187\pi\)
0.370499 + 0.928833i \(0.379187\pi\)
\(620\) 8.49470 + 15.5044i 0.341155 + 0.622670i
\(621\) 13.0077 0.521981
\(622\) −15.7932 + 8.80329i −0.633249 + 0.352980i
\(623\) 0.224571 0.224571i 0.00899724 0.00899724i
\(624\) 4.02976 + 8.06727i 0.161320 + 0.322949i
\(625\) −11.8193 + 22.0296i −0.472772 + 0.881185i
\(626\) 12.0950 42.5608i 0.483415 1.70107i
\(627\) 10.2268 + 10.2268i 0.408417 + 0.408417i
\(628\) 3.85206 + 16.3316i 0.153714 + 0.651701i
\(629\) 20.2048i 0.805619i
\(630\) −0.616051 0.625102i −0.0245441 0.0249047i
\(631\) 42.8895i 1.70740i −0.520763 0.853701i \(-0.674352\pi\)
0.520763 0.853701i \(-0.325648\pi\)
\(632\) −21.2885 0.963987i −0.846810 0.0383454i
\(633\) 24.0867 + 24.0867i 0.957360 + 0.957360i
\(634\) −7.27551 2.06757i −0.288947 0.0821138i
\(635\) 2.73346 + 9.89246i 0.108474 + 0.392570i
\(636\) 12.9629 20.9655i 0.514014 0.831335i
\(637\) −4.93719 + 4.93719i −0.195619 + 0.195619i
\(638\) −0.0868081 0.155735i −0.00343677 0.00616559i
\(639\) 3.80481 0.150516
\(640\) −2.47010 + 25.1773i −0.0976392 + 0.995222i
\(641\) −0.421416 −0.0166449 −0.00832246 0.999965i \(-0.502649\pi\)
−0.00832246 + 0.999965i \(0.502649\pi\)
\(642\) −16.2179 29.0951i −0.640070 1.14829i
\(643\) −28.3784 + 28.3784i −1.11914 + 1.11914i −0.127268 + 0.991868i \(0.540621\pi\)
−0.991868 + 0.127268i \(0.959379\pi\)
\(644\) 0.881492 1.42567i 0.0347356 0.0561793i
\(645\) −22.0254 + 38.8449i −0.867249 + 1.52952i
\(646\) 18.9891 + 5.39637i 0.747116 + 0.212317i
\(647\) 18.8470 + 18.8470i 0.740953 + 0.740953i 0.972762 0.231808i \(-0.0744642\pi\)
−0.231808 + 0.972762i \(0.574464\pi\)
\(648\) −30.8286 1.39598i −1.21106 0.0548394i
\(649\) 11.3370i 0.445018i
\(650\) 6.82921 1.83353i 0.267864 0.0719171i
\(651\) 1.18773i 0.0465510i
\(652\) 4.96231 + 21.0387i 0.194339 + 0.823941i
\(653\) −0.597495 0.597495i −0.0233818 0.0233818i 0.695319 0.718701i \(-0.255263\pi\)
−0.718701 + 0.695319i \(0.755263\pi\)
\(654\) −0.882712 + 3.10614i −0.0345168 + 0.121460i
\(655\) −7.52908 + 13.2786i −0.294185 + 0.518838i
\(656\) 15.7122 + 31.4546i 0.613458 + 1.22809i
\(657\) 21.9388 21.9388i 0.855912 0.855912i
\(658\) −1.29899 + 0.724069i −0.0506398 + 0.0282271i
\(659\) −42.0413 −1.63770 −0.818848 0.574010i \(-0.805387\pi\)
−0.818848 + 0.574010i \(0.805387\pi\)
\(660\) 20.2044 + 5.90132i 0.786456 + 0.229709i
\(661\) 30.0939 1.17052 0.585258 0.810847i \(-0.300993\pi\)
0.585258 + 0.810847i \(0.300993\pi\)
\(662\) 17.3261 9.65778i 0.673400 0.375360i
\(663\) 7.24157 7.24157i 0.281239 0.281239i
\(664\) 31.8419 29.0831i 1.23571 1.12864i
\(665\) 0.243893 + 0.882657i 0.00945778 + 0.0342280i
\(666\) −3.58077 + 12.6002i −0.138752 + 0.488249i
\(667\) −0.268527 0.268527i −0.0103974 0.0103974i
\(668\) −35.6086 + 8.39885i −1.37774 + 0.324961i
\(669\) 46.1169i 1.78298i
\(670\) 17.5609 17.3066i 0.678437 0.668613i
\(671\) 25.2093i 0.973196i
\(672\) −0.958301 + 1.40370i −0.0369673 + 0.0541490i
\(673\) −11.9962 11.9962i −0.462419 0.462419i 0.437028 0.899448i \(-0.356031\pi\)
−0.899448 + 0.437028i \(0.856031\pi\)
\(674\) −34.7616 9.87866i −1.33897 0.380512i
\(675\) −2.52082 + 10.0305i −0.0970262 + 0.386072i
\(676\) −1.70110 1.05179i −0.0654269 0.0404534i
\(677\) 18.8444 18.8444i 0.724250 0.724250i −0.245218 0.969468i \(-0.578860\pi\)
0.969468 + 0.245218i \(0.0788596\pi\)
\(678\) 21.4516 + 38.4844i 0.823845 + 1.47798i
\(679\) −1.67583 −0.0643125
\(680\) 28.0103 6.39140i 1.07415 0.245099i
\(681\) −42.5479 −1.63044
\(682\) −5.68263 10.1947i −0.217599 0.390375i
\(683\) 3.30342 3.30342i 0.126402 0.126402i −0.641076 0.767478i \(-0.721512\pi\)
0.767478 + 0.641076i \(0.221512\pi\)
\(684\) −10.8857 6.73063i −0.416226 0.257352i
\(685\) −46.8060 + 12.9333i −1.78836 + 0.494156i
\(686\) −2.53493 0.720384i −0.0967842 0.0275044i
\(687\) −16.3291 16.3291i −0.622996 0.622996i
\(688\) 33.6101 + 11.2177i 1.28137 + 0.427671i
\(689\) 5.46684i 0.208270i
\(690\) 44.8308 + 0.326938i 1.70668 + 0.0124463i
\(691\) 20.9759i 0.797959i −0.916960 0.398980i \(-0.869364\pi\)
0.916960 0.398980i \(-0.130636\pi\)
\(692\) 41.0855 9.69066i 1.56184 0.368384i
\(693\) 0.409711 + 0.409711i 0.0155636 + 0.0155636i
\(694\) 4.72146 16.6142i 0.179224 0.630665i
\(695\) 26.9474 + 15.2794i 1.02217 + 0.579581i
\(696\) 0.259687 + 0.284321i 0.00984342 + 0.0107772i
\(697\) 28.2351 28.2351i 1.06948 1.06948i
\(698\) 16.8512 9.39304i 0.637827 0.355532i
\(699\) 17.8200 0.674014
\(700\) 0.928532 + 0.956020i 0.0350952 + 0.0361342i
\(701\) 22.5178 0.850485 0.425242 0.905080i \(-0.360189\pi\)
0.425242 + 0.905080i \(0.360189\pi\)
\(702\) 2.55512 1.42425i 0.0964370 0.0537550i
\(703\) 9.66440 9.66440i 0.364500 0.364500i
\(704\) 1.50948 16.6333i 0.0568907 0.626892i
\(705\) −34.6013 19.6192i −1.30316 0.738903i
\(706\) 2.82545 9.94236i 0.106337 0.374186i
\(707\) −0.801152 0.801152i −0.0301304 0.0301304i
\(708\) 5.62090 + 23.8310i 0.211246 + 0.895622i
\(709\) 30.7947i 1.15652i 0.815853 + 0.578260i \(0.196268\pi\)
−0.815853 + 0.578260i \(0.803732\pi\)
\(710\) −5.77749 0.0421334i −0.216825 0.00158124i
\(711\) 15.6901i 0.588426i
\(712\) 0.304899 6.73332i 0.0114266 0.252342i
\(713\) −17.5783 17.5783i −0.658312 0.658312i
\(714\) 1.85668 + 0.527637i 0.0694846 + 0.0197463i
\(715\) −4.49965 + 1.24333i −0.168277 + 0.0464979i
\(716\) 20.4135 33.0155i 0.762888 1.23385i
\(717\) −26.2893 + 26.2893i −0.981793 + 0.981793i
\(718\) −13.6548 24.4968i −0.509591 0.914211i
\(719\) 47.2247 1.76118 0.880592 0.473875i \(-0.157145\pi\)
0.880592 + 0.473875i \(0.157145\pi\)
\(720\) −18.6006 0.978249i −0.693205 0.0364572i
\(721\) 1.62320 0.0604512
\(722\) −6.58082 11.8060i −0.244913 0.439376i
\(723\) 24.6366 24.6366i 0.916247 0.916247i
\(724\) −2.43284 + 3.93472i −0.0904156 + 0.146233i
\(725\) 0.259105 0.155027i 0.00962290 0.00575755i
\(726\) 20.3682 + 5.78829i 0.755934 + 0.214823i
\(727\) −13.5916 13.5916i −0.504083 0.504083i 0.408621 0.912704i \(-0.366010\pi\)
−0.912704 + 0.408621i \(0.866010\pi\)
\(728\) 0.0170517 0.376565i 0.000631977 0.0139564i
\(729\) 8.73169i 0.323396i
\(730\) −33.5563 + 33.0704i −1.24197 + 1.22399i
\(731\) 40.2396i 1.48832i
\(732\) 12.4988 + 52.9911i 0.461968 + 1.95861i
\(733\) 6.55024 + 6.55024i 0.241939 + 0.241939i 0.817652 0.575713i \(-0.195276\pi\)
−0.575713 + 0.817652i \(0.695276\pi\)
\(734\) −8.88483 + 31.2645i −0.327945 + 1.15399i
\(735\) −9.37452 33.9266i −0.345784 1.25140i
\(736\) −6.59187 34.9573i −0.242980 1.28854i
\(737\) −11.5099 + 11.5099i −0.423974 + 0.423974i
\(738\) −22.6121 + 12.6042i −0.832362 + 0.463967i
\(739\) 3.90879 0.143787 0.0718936 0.997412i \(-0.477096\pi\)
0.0718936 + 0.997412i \(0.477096\pi\)
\(740\) 5.57682 19.0934i 0.205008 0.701888i
\(741\) 6.92760 0.254492
\(742\) −0.899991 + 0.501665i −0.0330397 + 0.0184167i
\(743\) 26.9910 26.9910i 0.990204 0.990204i −0.00974863 0.999952i \(-0.503103\pi\)
0.999952 + 0.00974863i \(0.00310313\pi\)
\(744\) 16.9996 + 18.6122i 0.623237 + 0.682357i
\(745\) −0.834809 + 1.47230i −0.0305850 + 0.0539410i
\(746\) 0.568620 2.00089i 0.0208186 0.0732579i
\(747\) 22.4516 + 22.4516i 0.821462 + 0.821462i
\(748\) −18.4609 + 4.35429i −0.674998 + 0.159209i
\(749\) 1.39238i 0.0508766i
\(750\) −8.94007 + 34.5065i −0.326445 + 1.26000i
\(751\) 3.54388i 0.129318i 0.997907 + 0.0646591i \(0.0205960\pi\)
−0.997907 + 0.0646591i \(0.979404\pi\)
\(752\) −9.99224 + 29.9384i −0.364379 + 1.09174i
\(753\) 7.81070 + 7.81070i 0.284638 + 0.284638i
\(754\) −0.0821491 0.0233453i −0.00299169 0.000850187i
\(755\) 0.631608 1.11393i 0.0229866 0.0405401i
\(756\) 0.468942 + 0.289946i 0.0170553 + 0.0105453i
\(757\) −20.7879 + 20.7879i −0.755551 + 0.755551i −0.975509 0.219959i \(-0.929408\pi\)
0.219959 + 0.975509i \(0.429408\pi\)
\(758\) −2.00451 3.59611i −0.0728072 0.130617i
\(759\) −29.5978 −1.07433
\(760\) 16.4551 + 10.3408i 0.596889 + 0.375100i
\(761\) 16.3149 0.591414 0.295707 0.955279i \(-0.404445\pi\)
0.295707 + 0.955279i \(0.404445\pi\)
\(762\) 7.12479 + 12.7819i 0.258104 + 0.463041i
\(763\) 0.0954459 0.0954459i 0.00345537 0.00345537i
\(764\) 19.0892 + 11.8029i 0.690624 + 0.427012i
\(765\) 5.63389 + 20.3892i 0.203694 + 0.737173i
\(766\) −2.35775 0.670032i −0.0851890 0.0242092i
\(767\) −3.83985 3.83985i −0.138649 0.138649i
\(768\) 5.07380 + 35.7124i 0.183085 + 1.28866i
\(769\) 34.6856i 1.25080i 0.780306 + 0.625398i \(0.215063\pi\)
−0.780306 + 0.625398i \(0.784937\pi\)
\(770\) −0.617596 0.626670i −0.0222566 0.0225836i
\(771\) 15.3150i 0.551557i
\(772\) −10.4132 + 2.45610i −0.374778 + 0.0883971i
\(773\) −14.9812 14.9812i −0.538835 0.538835i 0.384352 0.923187i \(-0.374425\pi\)
−0.923187 + 0.384352i \(0.874425\pi\)
\(774\) −7.13141 + 25.0944i −0.256333 + 0.902001i
\(775\) 16.9615