Properties

Label 384.2.w.a.131.46
Level $384$
Weight $2$
Character 384.131
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 131.46
Character \(\chi\) \(=\) 384.131
Dual form 384.2.w.a.299.46

$q$-expansion

\(f(q)\) \(=\) \(q+(1.00475 - 0.995229i) q^{2} +(1.26400 - 1.18419i) q^{3} +(0.0190404 - 1.99991i) q^{4} +(0.476468 - 1.57070i) q^{5} +(0.0914584 - 2.44778i) q^{6} +(0.623411 + 3.13410i) q^{7} +(-1.97124 - 2.02836i) q^{8} +(0.195379 - 2.99363i) q^{9} +O(q^{10})\) \(q+(1.00475 - 0.995229i) q^{2} +(1.26400 - 1.18419i) q^{3} +(0.0190404 - 1.99991i) q^{4} +(0.476468 - 1.57070i) q^{5} +(0.0914584 - 2.44778i) q^{6} +(0.623411 + 3.13410i) q^{7} +(-1.97124 - 2.02836i) q^{8} +(0.195379 - 2.99363i) q^{9} +(-1.08448 - 2.05236i) q^{10} +(-1.36278 + 0.134222i) q^{11} +(-2.34421 - 2.55043i) q^{12} +(0.849128 + 2.79920i) q^{13} +(3.74552 + 2.52855i) q^{14} +(-1.25776 - 2.54960i) q^{15} +(-3.99927 - 0.0761583i) q^{16} +(1.79685 + 0.744278i) q^{17} +(-2.78304 - 3.20229i) q^{18} +(-0.623583 + 1.16664i) q^{19} +(-3.13220 - 0.982800i) q^{20} +(4.49937 + 3.22326i) q^{21} +(-1.23567 + 1.49114i) q^{22} +(0.359719 + 0.538358i) q^{23} +(-4.89360 - 0.229515i) q^{24} +(1.91726 + 1.28107i) q^{25} +(3.63901 + 1.96742i) q^{26} +(-3.29808 - 4.01531i) q^{27} +(6.27979 - 1.18709i) q^{28} +(-9.00674 - 0.887087i) q^{29} +(-3.80117 - 1.30994i) q^{30} +(6.19650 + 6.19650i) q^{31} +(-4.09406 + 3.90367i) q^{32} +(-1.56361 + 1.78345i) q^{33} +(2.54611 - 1.04046i) q^{34} +(5.21978 + 0.514104i) q^{35} +(-5.98327 - 0.447740i) q^{36} +(-1.99830 - 3.73856i) q^{37} +(0.534530 + 1.79279i) q^{38} +(4.38809 + 2.53265i) q^{39} +(-4.12518 + 2.12978i) q^{40} +(-4.03674 - 6.04140i) q^{41} +(7.72861 - 1.23933i) q^{42} +(-2.76154 - 2.26634i) q^{43} +(0.242484 + 2.72799i) q^{44} +(-4.60902 - 1.73325i) q^{45} +(0.897217 + 0.182912i) q^{46} +(10.7796 + 4.46505i) q^{47} +(-5.14526 + 4.63965i) q^{48} +(-2.96679 + 1.22888i) q^{49} +(3.20132 - 0.620955i) q^{50} +(3.15258 - 1.18705i) q^{51} +(5.61432 - 1.64488i) q^{52} +(7.82154 - 0.770354i) q^{53} +(-7.30989 - 0.752038i) q^{54} +(-0.438498 + 2.20448i) q^{55} +(5.12818 - 7.44255i) q^{56} +(0.593320 + 2.21307i) q^{57} +(-9.93237 + 8.07247i) q^{58} +(-0.844346 + 2.78344i) q^{59} +(-5.12291 + 2.46686i) q^{60} +(2.00356 - 1.64428i) q^{61} +(12.3929 + 0.0589928i) q^{62} +(9.50414 - 1.25393i) q^{63} +(-0.228458 + 7.99674i) q^{64} +4.80130 q^{65} +(0.203909 + 3.34806i) q^{66} +(-4.94729 - 6.02829i) q^{67} +(1.52270 - 3.57936i) q^{68} +(1.09220 + 0.254506i) q^{69} +(5.75622 - 4.67833i) q^{70} +(1.95866 + 9.84685i) q^{71} +(-6.45729 + 5.50485i) q^{72} +(-2.12676 - 0.423039i) q^{73} +(-5.72851 - 1.76755i) q^{74} +(3.94044 - 0.651131i) q^{75} +(2.32130 + 1.26932i) q^{76} +(-1.27024 - 4.18741i) q^{77} +(6.92949 - 1.82247i) q^{78} +(-4.09692 - 9.89083i) q^{79} +(-2.02515 + 6.24539i) q^{80} +(-8.92365 - 1.16979i) q^{81} +(-10.0685 - 2.05262i) q^{82} +(-5.87371 + 10.9889i) q^{83} +(6.53189 - 8.93695i) q^{84} +(2.02518 - 2.46769i) q^{85} +(-5.03018 + 0.471264i) q^{86} +(-12.4350 + 9.54444i) q^{87} +(2.95861 + 2.49962i) q^{88} +(-10.6049 - 7.08594i) q^{89} +(-6.35589 + 2.84554i) q^{90} +(-8.24362 + 4.40631i) q^{91} +(1.08352 - 0.709155i) q^{92} +(15.1702 + 0.494515i) q^{93} +(15.2745 - 6.24190i) q^{94} +(1.53533 + 1.53533i) q^{95} +(-0.552186 + 9.78239i) q^{96} +(-2.39468 + 2.39468i) q^{97} +(-1.75785 + 4.18735i) q^{98} +(0.135553 + 4.10589i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.00475 0.995229i 0.710465 0.703733i
\(3\) 1.26400 1.18419i 0.729769 0.683694i
\(4\) 0.0190404 1.99991i 0.00952022 0.999955i
\(5\) 0.476468 1.57070i 0.213083 0.702441i −0.783615 0.621246i \(-0.786627\pi\)
0.996698 0.0811942i \(-0.0258734\pi\)
\(6\) 0.0914584 2.44778i 0.0373377 0.999303i
\(7\) 0.623411 + 3.13410i 0.235627 + 1.18458i 0.899564 + 0.436789i \(0.143885\pi\)
−0.663936 + 0.747789i \(0.731115\pi\)
\(8\) −1.97124 2.02836i −0.696937 0.717132i
\(9\) 0.195379 2.99363i 0.0651263 0.997877i
\(10\) −1.08448 2.05236i −0.342943 0.649013i
\(11\) −1.36278 + 0.134222i −0.410894 + 0.0404695i −0.301353 0.953513i \(-0.597438\pi\)
−0.109541 + 0.993982i \(0.534938\pi\)
\(12\) −2.34421 2.55043i −0.676715 0.736245i
\(13\) 0.849128 + 2.79920i 0.235506 + 0.776359i 0.992425 + 0.122850i \(0.0392036\pi\)
−0.756919 + 0.653508i \(0.773296\pi\)
\(14\) 3.74552 + 2.52855i 1.00103 + 0.675783i
\(15\) −1.25776 2.54960i −0.324753 0.658303i
\(16\) −3.99927 0.0761583i −0.999819 0.0190396i
\(17\) 1.79685 + 0.744278i 0.435799 + 0.180514i 0.589787 0.807559i \(-0.299212\pi\)
−0.153988 + 0.988073i \(0.549212\pi\)
\(18\) −2.78304 3.20229i −0.655969 0.754788i
\(19\) −0.623583 + 1.16664i −0.143060 + 0.267646i −0.943239 0.332115i \(-0.892238\pi\)
0.800179 + 0.599761i \(0.204738\pi\)
\(20\) −3.13220 0.982800i −0.700380 0.219761i
\(21\) 4.49937 + 3.22326i 0.981842 + 0.703372i
\(22\) −1.23567 + 1.49114i −0.263446 + 0.317912i
\(23\) 0.359719 + 0.538358i 0.0750067 + 0.112255i 0.867076 0.498175i \(-0.165996\pi\)
−0.792070 + 0.610431i \(0.790996\pi\)
\(24\) −4.89360 0.229515i −0.998902 0.0468496i
\(25\) 1.91726 + 1.28107i 0.383451 + 0.256214i
\(26\) 3.63901 + 1.96742i 0.713668 + 0.385842i
\(27\) −3.29808 4.01531i −0.634715 0.772746i
\(28\) 6.27979 1.18709i 1.18677 0.224339i
\(29\) −9.00674 0.887087i −1.67251 0.164728i −0.783118 0.621873i \(-0.786372\pi\)
−0.889392 + 0.457145i \(0.848872\pi\)
\(30\) −3.80117 1.30994i −0.693995 0.239162i
\(31\) 6.19650 + 6.19650i 1.11292 + 1.11292i 0.992753 + 0.120172i \(0.0383445\pi\)
0.120172 + 0.992753i \(0.461655\pi\)
\(32\) −4.09406 + 3.90367i −0.723735 + 0.690078i
\(33\) −1.56361 + 1.78345i −0.272189 + 0.310459i
\(34\) 2.54611 1.04046i 0.436654 0.178437i
\(35\) 5.21978 + 0.514104i 0.882304 + 0.0868994i
\(36\) −5.98327 0.447740i −0.997212 0.0746234i
\(37\) −1.99830 3.73856i −0.328519 0.614616i 0.662389 0.749160i \(-0.269543\pi\)
−0.990908 + 0.134545i \(0.957043\pi\)
\(38\) 0.534530 + 1.79279i 0.0867123 + 0.290829i
\(39\) 4.38809 + 2.53265i 0.702656 + 0.405549i
\(40\) −4.12518 + 2.12978i −0.652248 + 0.336748i
\(41\) −4.03674 6.04140i −0.630432 0.943509i −0.999898 0.0142643i \(-0.995459\pi\)
0.369466 0.929244i \(-0.379541\pi\)
\(42\) 7.72861 1.23933i 1.19255 0.191234i
\(43\) −2.76154 2.26634i −0.421131 0.345613i 0.399838 0.916586i \(-0.369066\pi\)
−0.820969 + 0.570973i \(0.806566\pi\)
\(44\) 0.242484 + 2.72799i 0.0365559 + 0.411260i
\(45\) −4.60902 1.73325i −0.687072 0.258378i
\(46\) 0.897217 + 0.182912i 0.132287 + 0.0269689i
\(47\) 10.7796 + 4.46505i 1.57237 + 0.651295i 0.987181 0.159605i \(-0.0510222\pi\)
0.585184 + 0.810900i \(0.301022\pi\)
\(48\) −5.14526 + 4.63965i −0.742654 + 0.669675i
\(49\) −2.96679 + 1.22888i −0.423826 + 0.175555i
\(50\) 3.20132 0.620955i 0.452735 0.0878163i
\(51\) 3.15258 1.18705i 0.441449 0.166220i
\(52\) 5.61432 1.64488i 0.778566 0.228104i
\(53\) 7.82154 0.770354i 1.07437 0.105816i 0.454674 0.890658i \(-0.349756\pi\)
0.619696 + 0.784842i \(0.287256\pi\)
\(54\) −7.30989 0.752038i −0.994750 0.102339i
\(55\) −0.438498 + 2.20448i −0.0591270 + 0.297252i
\(56\) 5.12818 7.44255i 0.685282 0.994553i
\(57\) 0.593320 + 2.21307i 0.0785871 + 0.293129i
\(58\) −9.93237 + 8.07247i −1.30418 + 1.05997i
\(59\) −0.844346 + 2.78344i −0.109925 + 0.362373i −0.994593 0.103848i \(-0.966885\pi\)
0.884669 + 0.466220i \(0.154385\pi\)
\(60\) −5.12291 + 2.46686i −0.661365 + 0.318471i
\(61\) 2.00356 1.64428i 0.256529 0.210528i −0.497334 0.867559i \(-0.665688\pi\)
0.753864 + 0.657031i \(0.228188\pi\)
\(62\) 12.3929 + 0.0589928i 1.57390 + 0.00749209i
\(63\) 9.50414 1.25393i 1.19741 0.157980i
\(64\) −0.228458 + 7.99674i −0.0285572 + 0.999592i
\(65\) 4.80130 0.595528
\(66\) 0.203909 + 3.34806i 0.0250994 + 0.412118i
\(67\) −4.94729 6.02829i −0.604407 0.736472i 0.377463 0.926025i \(-0.376796\pi\)
−0.981871 + 0.189552i \(0.939296\pi\)
\(68\) 1.52270 3.57936i 0.184655 0.434061i
\(69\) 1.09220 + 0.254506i 0.131486 + 0.0306390i
\(70\) 5.75622 4.67833i 0.688000 0.559167i
\(71\) 1.95866 + 9.84685i 0.232450 + 1.16861i 0.903962 + 0.427613i \(0.140645\pi\)
−0.671512 + 0.740994i \(0.734355\pi\)
\(72\) −6.45729 + 5.50485i −0.760999 + 0.648753i
\(73\) −2.12676 0.423039i −0.248919 0.0495130i 0.0690539 0.997613i \(-0.478002\pi\)
−0.317972 + 0.948100i \(0.603002\pi\)
\(74\) −5.72851 1.76755i −0.665926 0.205473i
\(75\) 3.94044 0.651131i 0.455003 0.0751861i
\(76\) 2.32130 + 1.26932i 0.266272 + 0.145601i
\(77\) −1.27024 4.18741i −0.144757 0.477200i
\(78\) 6.92949 1.82247i 0.784611 0.206354i
\(79\) −4.09692 9.89083i −0.460939 1.11281i −0.968012 0.250903i \(-0.919273\pi\)
0.507073 0.861903i \(-0.330727\pi\)
\(80\) −2.02515 + 6.24539i −0.226419 + 0.698256i
\(81\) −8.92365 1.16979i −0.991517 0.129976i
\(82\) −10.0685 2.05262i −1.11188 0.226674i
\(83\) −5.87371 + 10.9889i −0.644723 + 1.20619i 0.321114 + 0.947041i \(0.395943\pi\)
−0.965837 + 0.259151i \(0.916557\pi\)
\(84\) 6.53189 8.93695i 0.712688 0.975101i
\(85\) 2.02518 2.46769i 0.219662 0.267659i
\(86\) −5.03018 + 0.471264i −0.542418 + 0.0508177i
\(87\) −12.4350 + 9.54444i −1.33317 + 1.02327i
\(88\) 2.95861 + 2.49962i 0.315389 + 0.266460i
\(89\) −10.6049 7.08594i −1.12411 0.751108i −0.152646 0.988281i \(-0.548779\pi\)
−0.971468 + 0.237172i \(0.923779\pi\)
\(90\) −6.35589 + 2.84554i −0.669969 + 0.299947i
\(91\) −8.24362 + 4.40631i −0.864166 + 0.461907i
\(92\) 1.08352 0.709155i 0.112964 0.0739346i
\(93\) 15.1702 + 0.494515i 1.57308 + 0.0512788i
\(94\) 15.2745 6.24190i 1.57545 0.643803i
\(95\) 1.53533 + 1.53533i 0.157522 + 0.157522i
\(96\) −0.552186 + 9.78239i −0.0563573 + 0.998411i
\(97\) −2.39468 + 2.39468i −0.243143 + 0.243143i −0.818149 0.575006i \(-0.805000\pi\)
0.575006 + 0.818149i \(0.305000\pi\)
\(98\) −1.75785 + 4.18735i −0.177570 + 0.422986i
\(99\) 0.135553 + 4.10589i 0.0136236 + 0.412657i
\(100\) 2.59853 3.80995i 0.259853 0.380995i
\(101\) 2.33953 + 4.37695i 0.232792 + 0.435523i 0.971010 0.239039i \(-0.0768324\pi\)
−0.738218 + 0.674562i \(0.764332\pi\)
\(102\) 1.98617 4.33022i 0.196660 0.428755i
\(103\) 1.80896 2.70730i 0.178242 0.266758i −0.731581 0.681754i \(-0.761217\pi\)
0.909823 + 0.414997i \(0.136217\pi\)
\(104\) 4.00394 7.24022i 0.392619 0.709962i
\(105\) 7.20659 5.53140i 0.703291 0.539809i
\(106\) 7.09200 8.55823i 0.688836 0.831249i
\(107\) 13.8829 + 11.3934i 1.34211 + 1.10144i 0.985955 + 0.167009i \(0.0534110\pi\)
0.356151 + 0.934429i \(0.384089\pi\)
\(108\) −8.09305 + 6.51940i −0.778754 + 0.627329i
\(109\) −1.26577 0.676571i −0.121239 0.0648037i 0.409662 0.912237i \(-0.365647\pi\)
−0.530901 + 0.847434i \(0.678147\pi\)
\(110\) 1.75338 + 2.65135i 0.167178 + 0.252797i
\(111\) −6.95302 2.35916i −0.659952 0.223921i
\(112\) −2.25451 12.5816i −0.213031 1.18885i
\(113\) 12.3607 5.11995i 1.16279 0.481644i 0.283989 0.958828i \(-0.408342\pi\)
0.878804 + 0.477183i \(0.158342\pi\)
\(114\) 2.79865 + 1.63309i 0.262118 + 0.152953i
\(115\) 1.01700 0.308502i 0.0948354 0.0287680i
\(116\) −1.94559 + 17.9958i −0.180643 + 1.67087i
\(117\) 8.54568 1.99507i 0.790048 0.184444i
\(118\) 1.92180 + 3.63697i 0.176916 + 0.334810i
\(119\) −1.21247 + 6.09549i −0.111147 + 0.558773i
\(120\) −2.69215 + 7.57704i −0.245758 + 0.691686i
\(121\) −8.94948 + 1.78016i −0.813589 + 0.161833i
\(122\) 0.376641 3.64608i 0.0340994 0.330101i
\(123\) −12.2566 2.85605i −1.10514 0.257521i
\(124\) 12.5104 12.2745i 1.12347 1.10228i
\(125\) 9.26972 7.60746i 0.829109 0.680432i
\(126\) 8.30133 10.7187i 0.739541 0.954895i
\(127\) 20.8038i 1.84604i 0.384757 + 0.923018i \(0.374285\pi\)
−0.384757 + 0.923018i \(0.625715\pi\)
\(128\) 7.72904 + 8.26208i 0.683157 + 0.730272i
\(129\) −6.17436 + 0.405549i −0.543622 + 0.0357066i
\(130\) 4.82410 4.77839i 0.423102 0.419093i
\(131\) −4.27000 5.20301i −0.373072 0.454589i 0.552303 0.833644i \(-0.313749\pi\)
−0.925374 + 0.379055i \(0.876249\pi\)
\(132\) 3.53697 + 3.16103i 0.307853 + 0.275132i
\(133\) −4.04512 1.22707i −0.350756 0.106401i
\(134\) −10.9703 1.13323i −0.947690 0.0978964i
\(135\) −7.87829 + 3.26714i −0.678055 + 0.281190i
\(136\) −2.03235 5.11179i −0.174272 0.438333i
\(137\) −18.4227 3.66450i −1.57396 0.313080i −0.670551 0.741864i \(-0.733942\pi\)
−0.903407 + 0.428784i \(0.858942\pi\)
\(138\) 1.35068 0.831277i 0.114978 0.0707630i
\(139\) −1.40045 14.2190i −0.118785 1.20604i −0.851074 0.525046i \(-0.824048\pi\)
0.732289 0.680994i \(-0.238452\pi\)
\(140\) 1.12755 10.4293i 0.0952952 0.881437i
\(141\) 18.9129 7.12129i 1.59275 0.599721i
\(142\) 11.7678 + 7.94430i 0.987534 + 0.666671i
\(143\) −1.53289 3.70072i −0.128187 0.309470i
\(144\) −1.00936 + 11.9575i −0.0841137 + 0.996456i
\(145\) −5.68478 + 13.7243i −0.472095 + 1.13974i
\(146\) −2.55788 + 1.69157i −0.211692 + 0.139995i
\(147\) −2.29478 + 5.06655i −0.189270 + 0.417882i
\(148\) −7.51483 + 3.92524i −0.617715 + 0.322653i
\(149\) −13.3384 + 16.2528i −1.09272 + 1.33148i −0.153509 + 0.988147i \(0.549057\pi\)
−0.939212 + 0.343337i \(0.888443\pi\)
\(150\) 3.31113 4.57586i 0.270352 0.373617i
\(151\) −11.5579 + 7.72275i −0.940569 + 0.628468i −0.928450 0.371458i \(-0.878858\pi\)
−0.0121198 + 0.999927i \(0.503858\pi\)
\(152\) 3.59559 1.03488i 0.291641 0.0839396i
\(153\) 2.57916 5.23368i 0.208513 0.423118i
\(154\) −5.44370 2.94312i −0.438666 0.237164i
\(155\) 12.6853 6.78044i 1.01891 0.544618i
\(156\) 5.14863 8.72756i 0.412220 0.698764i
\(157\) 0.586826 5.95814i 0.0468338 0.475512i −0.942950 0.332935i \(-0.891961\pi\)
0.989784 0.142577i \(-0.0455389\pi\)
\(158\) −13.9600 5.86043i −1.11060 0.466231i
\(159\) 8.97415 10.2359i 0.711697 0.811762i
\(160\) 4.18083 + 8.29054i 0.330523 + 0.655425i
\(161\) −1.46301 + 1.46301i −0.115302 + 0.115302i
\(162\) −10.1302 + 7.70573i −0.795906 + 0.605420i
\(163\) 1.65730 16.8269i 0.129810 1.31798i −0.680832 0.732440i \(-0.738381\pi\)
0.810642 0.585543i \(-0.199119\pi\)
\(164\) −12.1591 + 7.95808i −0.949468 + 0.621421i
\(165\) 2.05626 + 3.30572i 0.160080 + 0.257350i
\(166\) 5.03490 + 16.8868i 0.390784 + 1.31067i
\(167\) −0.813145 + 1.21696i −0.0629231 + 0.0941710i −0.861597 0.507593i \(-0.830535\pi\)
0.798674 + 0.601764i \(0.205535\pi\)
\(168\) −2.33140 15.4801i −0.179872 1.19432i
\(169\) 3.69460 2.46865i 0.284200 0.189896i
\(170\) −0.421118 4.49493i −0.0322982 0.344745i
\(171\) 3.37066 + 2.09471i 0.257761 + 0.160187i
\(172\) −4.58505 + 5.47968i −0.349607 + 0.417821i
\(173\) −19.1940 10.2594i −1.45929 0.780008i −0.464860 0.885384i \(-0.653895\pi\)
−0.994432 + 0.105376i \(0.966395\pi\)
\(174\) −2.99514 + 21.9654i −0.227061 + 1.66519i
\(175\) −2.81976 + 6.80751i −0.213154 + 0.514599i
\(176\) 5.46035 0.433004i 0.411590 0.0326389i
\(177\) 2.22887 + 4.51812i 0.167532 + 0.339603i
\(178\) −17.7074 + 3.43467i −1.32722 + 0.257439i
\(179\) 6.53490 1.98234i 0.488441 0.148167i −0.0364514 0.999335i \(-0.511605\pi\)
0.524893 + 0.851168i \(0.324105\pi\)
\(180\) −3.55411 + 9.18462i −0.264907 + 0.684581i
\(181\) −0.595461 6.04582i −0.0442603 0.449382i −0.991618 0.129205i \(-0.958757\pi\)
0.947358 0.320177i \(-0.103743\pi\)
\(182\) −3.89749 + 12.6315i −0.288901 + 0.936310i
\(183\) 0.585352 4.45096i 0.0432705 0.329024i
\(184\) 0.382890 1.79087i 0.0282270 0.132025i
\(185\) −6.82430 + 1.35744i −0.501733 + 0.0998008i
\(186\) 15.7344 14.6010i 1.15370 1.07059i
\(187\) −2.54861 0.773111i −0.186373 0.0565355i
\(188\) 9.13495 21.4732i 0.666235 1.56609i
\(189\) 10.5283 12.8397i 0.765823 0.933950i
\(190\) 3.07063 + 0.0146169i 0.222767 + 0.00106042i
\(191\) 7.10143i 0.513842i −0.966432 0.256921i \(-0.917292\pi\)
0.966432 0.256921i \(-0.0827080\pi\)
\(192\) 9.18090 + 10.3784i 0.662575 + 0.748996i
\(193\) 20.3136i 1.46220i −0.682269 0.731101i \(-0.739007\pi\)
0.682269 0.731101i \(-0.260993\pi\)
\(194\) −0.0227981 + 4.78930i −0.00163681 + 0.343852i
\(195\) 6.06883 5.68566i 0.434598 0.407159i
\(196\) 2.40117 + 5.95670i 0.171512 + 0.425479i
\(197\) −12.3617 3.74987i −0.880732 0.267167i −0.182644 0.983179i \(-0.558466\pi\)
−0.698088 + 0.716012i \(0.745966\pi\)
\(198\) 4.22249 + 3.99048i 0.300079 + 0.283591i
\(199\) −7.97948 + 1.58722i −0.565650 + 0.112515i −0.469628 0.882864i \(-0.655612\pi\)
−0.0960221 + 0.995379i \(0.530612\pi\)
\(200\) −1.18090 6.41417i −0.0835022 0.453550i
\(201\) −13.3920 1.76120i −0.944599 0.124226i
\(202\) 6.70671 + 2.06937i 0.471882 + 0.145600i
\(203\) −2.83469 28.7811i −0.198956 2.02003i
\(204\) −2.31396 6.32747i −0.162009 0.443012i
\(205\) −11.4126 + 3.46199i −0.797093 + 0.241796i
\(206\) −0.876830 4.52048i −0.0610917 0.314957i
\(207\) 1.68193 0.971683i 0.116902 0.0675366i
\(208\) −3.18272 11.2594i −0.220682 0.780702i
\(209\) 0.693217 1.67357i 0.0479508 0.115763i
\(210\) 1.73581 12.7299i 0.119782 0.878444i
\(211\) −0.0468718 0.0250535i −0.00322679 0.00172476i 0.469783 0.882782i \(-0.344332\pi\)
−0.473009 + 0.881057i \(0.656832\pi\)
\(212\) −1.39171 15.6570i −0.0955832 1.07533i
\(213\) 14.1363 + 10.1270i 0.968604 + 0.693888i
\(214\) 25.2878 2.36914i 1.72864 0.161951i
\(215\) −4.87553 + 3.25773i −0.332509 + 0.222175i
\(216\) −1.64319 + 14.6048i −0.111805 + 0.993730i
\(217\) −15.5575 + 23.2834i −1.05611 + 1.58058i
\(218\) −1.94513 + 0.579951i −0.131741 + 0.0392793i
\(219\) −3.18918 + 1.98377i −0.215505 + 0.134051i
\(220\) 4.40041 + 0.918930i 0.296675 + 0.0619543i
\(221\) −0.557631 + 5.66172i −0.0375103 + 0.380849i
\(222\) −9.33394 + 4.54948i −0.626453 + 0.305341i
\(223\) −8.38538 + 8.38538i −0.561527 + 0.561527i −0.929741 0.368214i \(-0.879969\pi\)
0.368214 + 0.929741i \(0.379969\pi\)
\(224\) −14.7868 10.3976i −0.987984 0.694719i
\(225\) 4.20964 5.48926i 0.280643 0.365951i
\(226\) 7.32383 17.4459i 0.487174 1.16049i
\(227\) −1.56065 + 15.8456i −0.103584 + 1.05171i 0.793117 + 0.609069i \(0.208457\pi\)
−0.896701 + 0.442637i \(0.854043\pi\)
\(228\) 4.43724 1.14445i 0.293863 0.0757929i
\(229\) 6.00830 3.21150i 0.397039 0.212222i −0.260779 0.965399i \(-0.583979\pi\)
0.657818 + 0.753177i \(0.271479\pi\)
\(230\) 0.714795 1.32211i 0.0471322 0.0871774i
\(231\) −6.56428 3.78867i −0.431898 0.249276i
\(232\) 15.9551 + 20.0175i 1.04750 + 1.31422i
\(233\) 7.23376 4.83345i 0.473900 0.316650i −0.295583 0.955317i \(-0.595514\pi\)
0.769483 + 0.638667i \(0.220514\pi\)
\(234\) 6.60071 10.5094i 0.431502 0.687024i
\(235\) 12.1494 14.8041i 0.792540 0.965713i
\(236\) 5.55054 + 1.74161i 0.361310 + 0.113369i
\(237\) −16.8911 7.65045i −1.09720 0.496950i
\(238\) 4.84818 + 7.33112i 0.314261 + 0.475206i
\(239\) 9.95561 24.0350i 0.643975 1.55469i −0.177298 0.984157i \(-0.556735\pi\)
0.821273 0.570536i \(-0.193265\pi\)
\(240\) 4.83596 + 10.2923i 0.312160 + 0.664367i
\(241\) 9.40557 + 22.7071i 0.605866 + 1.46269i 0.867457 + 0.497512i \(0.165753\pi\)
−0.261591 + 0.965179i \(0.584247\pi\)
\(242\) −7.22031 + 10.6954i −0.464139 + 0.687526i
\(243\) −12.6647 + 9.08871i −0.812443 + 0.583041i
\(244\) −3.25026 4.03824i −0.208076 0.258522i
\(245\) 0.516633 + 5.24547i 0.0330065 + 0.335121i
\(246\) −15.1572 + 9.32851i −0.966390 + 0.594764i
\(247\) −3.79516 0.754905i −0.241481 0.0480335i
\(248\) 0.353946 24.7835i 0.0224756 1.57375i
\(249\) 5.58865 + 20.8456i 0.354167 + 1.32103i
\(250\) 1.74258 16.8691i 0.110210 1.06689i
\(251\) −13.1114 3.97730i −0.827585 0.251045i −0.152050 0.988373i \(-0.548587\pi\)
−0.675535 + 0.737328i \(0.736087\pi\)
\(252\) −2.32678 19.0313i −0.146573 1.19886i
\(253\) −0.562478 0.685381i −0.0353627 0.0430895i
\(254\) 20.7045 + 20.9026i 1.29912 + 1.31154i
\(255\) −0.362395 5.51736i −0.0226941 0.345510i
\(256\) 15.9884 + 0.609156i 0.999275 + 0.0380723i
\(257\) 2.34016i 0.145975i −0.997333 0.0729876i \(-0.976747\pi\)
0.997333 0.0729876i \(-0.0232534\pi\)
\(258\) −5.80006 + 6.55237i −0.361096 + 0.407933i
\(259\) 10.4713 8.59354i 0.650652 0.533977i
\(260\) 0.0914189 9.60217i 0.00566956 0.595501i
\(261\) −4.41534 + 26.7896i −0.273303 + 1.65823i
\(262\) −9.46846 0.978093i −0.584964 0.0604268i
\(263\) −10.8192 + 2.15207i −0.667140 + 0.132702i −0.517030 0.855967i \(-0.672963\pi\)
−0.150109 + 0.988669i \(0.547963\pi\)
\(264\) 6.69971 0.344050i 0.412338 0.0211748i
\(265\) 2.51671 12.6524i 0.154600 0.777229i
\(266\) −5.28555 + 2.79292i −0.324078 + 0.171245i
\(267\) −21.7956 + 3.60158i −1.33387 + 0.220413i
\(268\) −12.1502 + 9.77934i −0.742193 + 0.597369i
\(269\) 12.8472 3.89715i 0.783306 0.237613i 0.126794 0.991929i \(-0.459531\pi\)
0.656512 + 0.754316i \(0.272031\pi\)
\(270\) −4.66416 + 11.1234i −0.283852 + 0.676946i
\(271\) −1.13658 + 0.470788i −0.0690425 + 0.0285984i −0.416937 0.908935i \(-0.636897\pi\)
0.347895 + 0.937534i \(0.386897\pi\)
\(272\) −7.12940 3.11342i −0.432283 0.188779i
\(273\) −5.20200 + 15.3316i −0.314840 + 0.927910i
\(274\) −22.1572 + 14.6529i −1.33857 + 0.885214i
\(275\) −2.78475 1.48848i −0.167927 0.0897586i
\(276\) 0.529786 2.17946i 0.0318894 0.131188i
\(277\) −4.09782 3.36300i −0.246214 0.202063i 0.503189 0.864176i \(-0.332160\pi\)
−0.749404 + 0.662113i \(0.769660\pi\)
\(278\) −15.5583 12.8928i −0.933123 0.773257i
\(279\) 19.7607 17.3394i 1.18304 1.03808i
\(280\) −9.24664 11.6010i −0.552592 0.693292i
\(281\) −11.3706 + 17.0174i −0.678315 + 1.01517i 0.319401 + 0.947620i \(0.396518\pi\)
−0.997716 + 0.0675504i \(0.978482\pi\)
\(282\) 11.9154 25.9777i 0.709549 1.54695i
\(283\) 1.28687 + 2.40757i 0.0764967 + 0.143115i 0.917262 0.398285i \(-0.130394\pi\)
−0.840765 + 0.541400i \(0.817894\pi\)
\(284\) 19.7301 3.72966i 1.17077 0.221314i
\(285\) 3.75878 + 0.122528i 0.222651 + 0.00725793i
\(286\) −5.22324 2.19272i −0.308856 0.129658i
\(287\) 16.4178 16.4178i 0.969113 0.969113i
\(288\) 10.8863 + 13.0188i 0.641479 + 0.767141i
\(289\) −9.34611 9.34611i −0.549771 0.549771i
\(290\) 7.94701 + 19.4471i 0.466664 + 1.14197i
\(291\) −0.191109 + 5.86263i −0.0112030 + 0.343673i
\(292\) −0.886534 + 4.24528i −0.0518805 + 0.248436i
\(293\) 18.4676 9.87115i 1.07889 0.576679i 0.166517 0.986039i \(-0.446748\pi\)
0.912373 + 0.409360i \(0.134248\pi\)
\(294\) 2.73670 + 7.37443i 0.159608 + 0.430086i
\(295\) 3.96965 + 2.65244i 0.231122 + 0.154431i
\(296\) −3.64401 + 11.4229i −0.211804 + 0.663940i
\(297\) 5.03349 + 5.02931i 0.292073 + 0.291830i
\(298\) 2.77359 + 29.6047i 0.160670 + 1.71496i
\(299\) −1.20152 + 1.46406i −0.0694860 + 0.0846689i
\(300\) −1.22717 7.89292i −0.0708509 0.455698i
\(301\) 5.38135 10.0678i 0.310176 0.580299i
\(302\) −3.92690 + 19.2622i −0.225968 + 1.10841i
\(303\) 8.14031 + 2.76200i 0.467649 + 0.158673i
\(304\) 2.58273 4.61823i 0.148130 0.264873i
\(305\) −1.62804 3.93044i −0.0932215 0.225057i
\(306\) −2.61730 7.82539i −0.149621 0.447348i
\(307\) −4.77688 15.7473i −0.272631 0.898745i −0.981182 0.193085i \(-0.938151\pi\)
0.708551 0.705660i \(-0.249349\pi\)
\(308\) −8.39863 + 2.46063i −0.478557 + 0.140207i
\(309\) −0.919440 5.56417i −0.0523051 0.316534i
\(310\) 5.99747 19.4374i 0.340633 1.10397i
\(311\) 4.04107 + 0.803818i 0.229148 + 0.0455804i 0.308329 0.951280i \(-0.400230\pi\)
−0.0791806 + 0.996860i \(0.525230\pi\)
\(312\) −3.51284 13.8931i −0.198875 0.786540i
\(313\) −0.296298 1.48959i −0.0167477 0.0841966i 0.971508 0.237009i \(-0.0761670\pi\)
−0.988255 + 0.152812i \(0.951167\pi\)
\(314\) −5.34010 6.57046i −0.301359 0.370793i
\(315\) 2.55887 15.5257i 0.144176 0.874772i
\(316\) −19.8588 + 8.00514i −1.11714 + 0.450324i
\(317\) 3.48944 + 4.25189i 0.195986 + 0.238810i 0.861726 0.507374i \(-0.169384\pi\)
−0.665739 + 0.746184i \(0.731884\pi\)
\(318\) −1.17031 19.2159i −0.0656279 1.07757i
\(319\) 12.3933 0.693890
\(320\) 12.4517 + 4.16903i 0.696069 + 0.233056i
\(321\) 31.0398 2.03878i 1.73247 0.113794i
\(322\) −0.0139284 + 2.92600i −0.000776198 + 0.163059i
\(323\) −1.98879 + 1.63216i −0.110659 + 0.0908156i
\(324\) −2.50938 + 17.8242i −0.139410 + 0.990235i
\(325\) −1.95798 + 6.45458i −0.108609 + 0.358036i
\(326\) −15.0814 18.5562i −0.835282 1.02773i
\(327\) −2.40113 + 0.643737i −0.132783 + 0.0355987i
\(328\) −4.29676 + 20.0970i −0.237249 + 1.10967i
\(329\) −7.27380 + 36.5679i −0.401018 + 2.01605i
\(330\) 5.35598 + 1.27497i 0.294837 + 0.0701845i
\(331\) 34.7465 3.42223i 1.90984 0.188103i 0.927320 0.374270i \(-0.122107\pi\)
0.982518 + 0.186167i \(0.0596067\pi\)
\(332\) 21.8650 + 11.9561i 1.20000 + 0.656177i
\(333\) −11.5823 + 5.25174i −0.634706 + 0.287794i
\(334\) 0.394144 + 2.03200i 0.0215666 + 0.111186i
\(335\) −11.8259 + 4.89844i −0.646117 + 0.267630i
\(336\) −17.7487 13.2334i −0.968272 0.721938i
\(337\) 29.9270 + 12.3962i 1.63023 + 0.675263i 0.995258 0.0972740i \(-0.0310123\pi\)
0.634970 + 0.772537i \(0.281012\pi\)
\(338\) 1.25527 6.15734i 0.0682777 0.334915i
\(339\) 9.56083 21.1090i 0.519273 1.14648i
\(340\) −4.89660 4.09717i −0.265555 0.222200i
\(341\) −9.27618 7.61276i −0.502333 0.412254i
\(342\) 5.47138 1.24991i 0.295858 0.0675876i
\(343\) 6.72631 + 10.0666i 0.363186 + 0.543547i
\(344\) 0.846708 + 10.0689i 0.0456514 + 0.542877i
\(345\) 0.920155 1.59426i 0.0495395 0.0858323i
\(346\) −29.4956 + 8.79429i −1.58569 + 0.472784i
\(347\) −4.57545 8.56006i −0.245623 0.459528i 0.728654 0.684882i \(-0.240146\pi\)
−0.974277 + 0.225354i \(0.927646\pi\)
\(348\) 18.8512 + 25.0506i 1.01053 + 1.34285i
\(349\) 26.9642 + 2.65574i 1.44336 + 0.142159i 0.789171 0.614173i \(-0.210510\pi\)
0.654189 + 0.756331i \(0.273010\pi\)
\(350\) 3.94187 + 9.64614i 0.210702 + 0.515608i
\(351\) 8.43917 12.6415i 0.450449 0.674753i
\(352\) 5.05535 5.86936i 0.269451 0.312838i
\(353\) 2.83090 + 2.83090i 0.150674 + 0.150674i 0.778419 0.627745i \(-0.216022\pi\)
−0.627745 + 0.778419i \(0.716022\pi\)
\(354\) 6.73602 + 2.32134i 0.358016 + 0.123378i
\(355\) 16.3997 + 1.61523i 0.870408 + 0.0857277i
\(356\) −14.3732 + 21.0738i −0.761776 + 1.11691i
\(357\) 5.68567 + 9.14048i 0.300918 + 0.483765i
\(358\) 4.59305 8.49547i 0.242750 0.449000i
\(359\) 9.99409 + 6.67783i 0.527468 + 0.352443i 0.790616 0.612313i \(-0.209761\pi\)
−0.263148 + 0.964756i \(0.584761\pi\)
\(360\) 5.56981 + 12.7654i 0.293555 + 0.672795i
\(361\) 9.58364 + 14.3429i 0.504402 + 0.754891i
\(362\) −6.61526 5.48191i −0.347690 0.288123i
\(363\) −9.20407 + 12.8480i −0.483088 + 0.674347i
\(364\) 8.65525 + 16.5704i 0.453659 + 0.868525i
\(365\) −1.67780 + 3.13895i −0.0878203 + 0.164300i
\(366\) −3.84159 5.05466i −0.200803 0.264211i
\(367\) −10.5719 4.37902i −0.551848 0.228583i 0.0892937 0.996005i \(-0.471539\pi\)
−0.641142 + 0.767422i \(0.721539\pi\)
\(368\) −1.39762 2.18044i −0.0728558 0.113663i
\(369\) −18.8744 + 10.9041i −0.982563 + 0.567647i
\(370\) −5.50575 + 8.15562i −0.286230 + 0.423991i
\(371\) 7.29040 + 24.0332i 0.378499 + 1.24774i
\(372\) 1.27783 30.3296i 0.0662526 1.57252i
\(373\) −11.9979 + 1.18169i −0.621226 + 0.0611854i −0.403733 0.914877i \(-0.632288\pi\)
−0.217492 + 0.976062i \(0.569788\pi\)
\(374\) −3.33013 + 1.75966i −0.172197 + 0.0909900i
\(375\) 2.70821 20.5929i 0.139851 1.06342i
\(376\) −12.1924 30.6665i −0.628775 1.58151i
\(377\) −5.16475 25.9649i −0.265998 1.33726i
\(378\) −2.20010 23.3787i −0.113161 1.20247i
\(379\) −8.06678 + 26.5926i −0.414362 + 1.36597i 0.463092 + 0.886310i \(0.346740\pi\)
−0.877455 + 0.479660i \(0.840760\pi\)
\(380\) 3.09976 3.04129i 0.159014 0.156015i
\(381\) 24.6357 + 26.2959i 1.26212 + 1.34718i
\(382\) −7.06755 7.13516i −0.361607 0.365066i
\(383\) −33.3339 −1.70328 −0.851641 0.524126i \(-0.824392\pi\)
−0.851641 + 0.524126i \(0.824392\pi\)
\(384\) 19.5534 + 1.29058i 0.997829 + 0.0658598i
\(385\) −7.18242 −0.366050
\(386\) −20.2166 20.4100i −1.02900 1.03884i
\(387\) −7.32412 + 7.82424i −0.372306 + 0.397728i
\(388\) 4.74354 + 4.83474i 0.240817 + 0.245447i
\(389\) −3.98639 + 13.1414i −0.202118 + 0.666294i 0.796018 + 0.605272i \(0.206936\pi\)
−0.998136 + 0.0610215i \(0.980564\pi\)
\(390\) 0.439119 11.7525i 0.0222357 0.595113i
\(391\) 0.245672 + 1.23508i 0.0124242 + 0.0624606i
\(392\) 8.34085 + 3.59528i 0.421276 + 0.181589i
\(393\) −11.5586 1.52009i −0.583056 0.0766785i
\(394\) −16.1523 + 8.53500i −0.813743 + 0.429987i
\(395\) −17.4876 + 1.72238i −0.879898 + 0.0866624i
\(396\) 8.21398 0.192916i 0.412768 0.00969437i
\(397\) −4.00039 13.1875i −0.200774 0.661863i −0.998284 0.0585574i \(-0.981350\pi\)
0.797510 0.603306i \(-0.206150\pi\)
\(398\) −6.43773 + 9.53616i −0.322694 + 0.478004i
\(399\) −6.56611 + 3.23918i −0.328717 + 0.162162i
\(400\) −7.57007 5.26936i −0.378504 0.263468i
\(401\) 33.7991 + 14.0001i 1.68785 + 0.699130i 0.999652 0.0263949i \(-0.00840273\pi\)
0.688196 + 0.725524i \(0.258403\pi\)
\(402\) −15.2084 + 11.5585i −0.758526 + 0.576488i
\(403\) −12.0836 + 22.6069i −0.601929 + 1.12613i
\(404\) 8.79805 4.59551i 0.437720 0.228635i
\(405\) −6.08922 + 13.4591i −0.302576 + 0.668786i
\(406\) −31.4919 26.0966i −1.56292 1.29515i
\(407\) 3.22504 + 4.82662i 0.159859 + 0.239247i
\(408\) −8.62223 4.05460i −0.426864 0.200733i
\(409\) −8.46895 5.65877i −0.418763 0.279808i 0.328285 0.944579i \(-0.393529\pi\)
−0.747048 + 0.664770i \(0.768529\pi\)
\(410\) −8.02137 + 14.8366i −0.396147 + 0.732728i
\(411\) −27.6257 + 17.1841i −1.36268 + 0.847629i
\(412\) −5.37990 3.66930i −0.265049 0.180773i
\(413\) −9.24994 0.911040i −0.455160 0.0448293i
\(414\) 0.722867 2.65020i 0.0355270 0.130250i
\(415\) 14.4617 + 14.4617i 0.709899 + 0.709899i
\(416\) −14.4035 8.14538i −0.706192 0.399360i
\(417\) −18.6082 16.3144i −0.911247 0.798919i
\(418\) −0.969079 2.37143i −0.0473992 0.115990i
\(419\) 36.7206 + 3.61667i 1.79392 + 0.176686i 0.939421 0.342766i \(-0.111364\pi\)
0.854500 + 0.519452i \(0.173864\pi\)
\(420\) −10.9251 14.5178i −0.533089 0.708398i
\(421\) 14.7288 + 27.5557i 0.717838 + 1.34298i 0.930658 + 0.365889i \(0.119235\pi\)
−0.212820 + 0.977091i \(0.568265\pi\)
\(422\) −0.0720284 + 0.0214757i −0.00350629 + 0.00104542i
\(423\) 15.4728 31.3977i 0.752315 1.52661i
\(424\) −16.9806 14.3463i −0.824653 0.696718i
\(425\) 2.49154 + 3.72886i 0.120858 + 0.180876i
\(426\) 24.2821 3.89380i 1.17647 0.188655i
\(427\) 6.40237 + 5.25429i 0.309832 + 0.254273i
\(428\) 23.0500 27.5475i 1.11417 1.33156i
\(429\) −6.31994 2.86247i −0.305129 0.138201i
\(430\) −1.65650 + 8.12547i −0.0798837 + 0.391845i
\(431\) −8.79258 3.64201i −0.423524 0.175429i 0.160733 0.986998i \(-0.448614\pi\)
−0.584257 + 0.811569i \(0.698614\pi\)
\(432\) 12.8841 + 16.3095i 0.619887 + 0.784691i
\(433\) 18.6893 7.74134i 0.898148 0.372025i 0.114641 0.993407i \(-0.463428\pi\)
0.783508 + 0.621382i \(0.213428\pi\)
\(434\) 7.54096 + 38.8773i 0.361978 + 1.86617i
\(435\) 9.06662 + 24.0793i 0.434711 + 1.15451i
\(436\) −1.37718 + 2.51855i −0.0659550 + 0.120617i
\(437\) −0.852385 + 0.0839526i −0.0407751 + 0.00401600i
\(438\) −1.23002 + 5.16716i −0.0587725 + 0.246896i
\(439\) 2.33754 11.7516i 0.111565 0.560875i −0.884055 0.467383i \(-0.845197\pi\)
0.995620 0.0934920i \(-0.0298029\pi\)
\(440\) 5.33585 3.45612i 0.254377 0.164764i
\(441\) 3.09917 + 9.12156i 0.147580 + 0.434360i
\(442\) 5.07443 + 6.24358i 0.241366 + 0.296977i
\(443\) 2.99231 9.86433i 0.142169 0.468668i −0.856721 0.515781i \(-0.827502\pi\)
0.998890 + 0.0471124i \(0.0150019\pi\)
\(444\) −4.85049 + 13.8605i −0.230194 + 0.657790i
\(445\) −16.1828 + 13.2809i −0.767138 + 0.629574i
\(446\) −0.0798316 + 16.7706i −0.00378014 + 0.794110i
\(447\) 2.38683 + 36.3387i 0.112893 + 1.71876i
\(448\) −25.2050 + 4.26925i −1.19082 + 0.201703i
\(449\) 28.1121 1.32669 0.663347 0.748312i \(-0.269136\pi\)
0.663347 + 0.748312i \(0.269136\pi\)
\(450\) −1.23344 9.70489i −0.0581449 0.457493i
\(451\) 6.31207 + 7.69128i 0.297224 + 0.362168i
\(452\) −10.0041 24.8177i −0.470553 1.16733i
\(453\) −5.46395 + 23.4483i −0.256719 + 1.10170i
\(454\) 14.2019 + 17.4740i 0.666527 + 0.820096i
\(455\) 2.99319 + 15.0478i 0.140323 + 0.705450i
\(456\) 3.31933 5.56595i 0.155442 0.260650i
\(457\) 29.3791 + 5.84387i 1.37430 + 0.273365i 0.826354 0.563151i \(-0.190411\pi\)
0.547943 + 0.836516i \(0.315411\pi\)
\(458\) 2.84065 9.20638i 0.132735 0.430186i
\(459\) −2.93763 9.66958i −0.137117 0.451337i
\(460\) −0.597613 2.03977i −0.0278638 0.0951050i
\(461\) 1.13305 + 3.73515i 0.0527712 + 0.173963i 0.979365 0.202101i \(-0.0647771\pi\)
−0.926593 + 0.376065i \(0.877277\pi\)
\(462\) −10.3660 + 2.72629i −0.482272 + 0.126839i
\(463\) −7.52573 18.1687i −0.349750 0.844372i −0.996649 0.0817959i \(-0.973934\pi\)
0.646899 0.762576i \(-0.276066\pi\)
\(464\) 35.9529 + 4.23364i 1.66907 + 0.196542i
\(465\) 8.00486 23.5923i 0.371216 1.09407i
\(466\) 2.45773 12.0556i 0.113852 0.558467i
\(467\) −2.49544 + 4.66863i −0.115475 + 0.216039i −0.933019 0.359828i \(-0.882835\pi\)
0.817544 + 0.575867i \(0.195335\pi\)
\(468\) −3.82725 17.1286i −0.176915 0.791768i
\(469\) 15.8091 19.2634i 0.729995 0.889501i
\(470\) −2.52636 26.9658i −0.116532 1.24384i
\(471\) −6.31384 8.22599i −0.290926 0.379034i
\(472\) 7.31021 3.77417i 0.336479 0.173720i
\(473\) 4.06756 + 2.71786i 0.187027 + 0.124967i
\(474\) −24.5853 + 9.12376i −1.12924 + 0.419068i
\(475\) −2.69012 + 1.43790i −0.123431 + 0.0659752i
\(476\) 12.1673 + 2.54089i 0.557689 + 0.116461i
\(477\) −0.777992 23.5653i −0.0356218 1.07898i
\(478\) −13.9174 34.0572i −0.636567 1.55774i
\(479\) 6.62870 + 6.62870i 0.302873 + 0.302873i 0.842137 0.539264i \(-0.181297\pi\)
−0.539264 + 0.842137i \(0.681297\pi\)
\(480\) 15.1021 + 5.52832i 0.689315 + 0.252332i
\(481\) 8.76817 8.76817i 0.399794 0.399794i
\(482\) 32.0490 + 13.4542i 1.45979 + 0.612822i
\(483\) −0.116757 + 3.58174i −0.00531261 + 0.162975i
\(484\) 3.38976 + 17.9321i 0.154080 + 0.815093i
\(485\) 2.62035 + 4.90232i 0.118984 + 0.222603i
\(486\) −3.67952 + 21.7362i −0.166907 + 0.985973i
\(487\) −15.7259 + 23.5355i −0.712610 + 1.06650i 0.281652 + 0.959517i \(0.409118\pi\)
−0.994261 + 0.106979i \(0.965882\pi\)
\(488\) −7.28467 0.822670i −0.329761 0.0372405i
\(489\) −17.8314 23.2317i −0.806365 1.05057i
\(490\) 5.73953 + 4.75621i 0.259285 + 0.214864i
\(491\) −8.84131 7.25588i −0.399003 0.327453i 0.413400 0.910549i \(-0.364341\pi\)
−0.812403 + 0.583096i \(0.801841\pi\)
\(492\) −5.94521 + 24.4577i −0.268031 + 1.10264i
\(493\) −15.5235 8.29748i −0.699143 0.373700i
\(494\) −4.56449 + 3.01857i −0.205366 + 0.135812i
\(495\) 6.51372 + 1.74341i 0.292770 + 0.0783604i
\(496\) −24.3096 25.2534i −1.09153 1.13391i
\(497\) −29.6400 + 12.2773i −1.32953 + 0.550711i
\(498\) 26.3613 + 15.3826i 1.18128 + 0.689310i
\(499\) 9.79938 2.97261i 0.438681 0.133072i −0.0632162 0.998000i \(-0.520136\pi\)
0.501897 + 0.864928i \(0.332636\pi\)
\(500\) −15.0377 18.6835i −0.672508 0.835549i
\(501\) 0.413298 + 2.50115i 0.0184648 + 0.111743i
\(502\) −17.1320 + 9.05266i −0.764639 + 0.404040i
\(503\) −0.608647 + 3.05987i −0.0271382 + 0.136433i −0.991979 0.126401i \(-0.959657\pi\)
0.964841 + 0.262834i \(0.0846573\pi\)
\(504\) −21.2783 16.8060i −0.947811 0.748599i
\(505\) 7.98961 1.58923i 0.355533 0.0707199i
\(506\) −1.24726 0.128842i −0.0554475 0.00572773i
\(507\) 1.74660 7.49548i 0.0775694 0.332886i
\(508\) 41.6056 + 0.396113i 1.84595 + 0.0175747i
\(509\) 16.4765 13.5219i 0.730309 0.599349i −0.193996 0.981002i \(-0.562145\pi\)
0.924306 + 0.381653i \(0.124645\pi\)
\(510\) −5.85515 5.18289i −0.259270 0.229502i
\(511\) 6.92921i 0.306530i
\(512\) 16.6706 15.3001i 0.736742 0.676174i
\(513\) 6.74104 1.34379i 0.297624 0.0593299i
\(514\) −2.32900 2.35127i −0.102728 0.103710i
\(515\) −3.39045 4.13128i −0.149401 0.182046i
\(516\) 0.693498 + 12.3559i 0.0305296 + 0.543937i
\(517\) −15.2895 4.63803i −0.672432 0.203980i
\(518\) 1.96845 19.0556i 0.0864887 0.837257i
\(519\) −36.4103 + 9.76151i −1.59823 + 0.428483i
\(520\) −9.46450 9.73875i −0.415046 0.427072i
\(521\) −28.8163 5.73191i −1.26246 0.251120i −0.481917 0.876217i \(-0.660059\pi\)
−0.780547 + 0.625097i \(0.785059\pi\)
\(522\) 22.2254 + 31.3110i 0.972780 + 1.37045i
\(523\) −3.08370 31.3094i −0.134841 1.36906i −0.789784 0.613385i \(-0.789808\pi\)
0.654943 0.755678i \(-0.272692\pi\)
\(524\) −10.4869 + 8.44055i −0.458120 + 0.368727i
\(525\) 4.49722 + 11.9438i 0.196275 + 0.521271i
\(526\) −8.72877 + 12.9299i −0.380592 + 0.563768i
\(527\) 6.52224 + 15.7461i 0.284113 + 0.685910i
\(528\) 6.38911 7.01342i 0.278050 0.305220i
\(529\) 8.64129 20.8619i 0.375708 0.907040i
\(530\) −10.0633 15.2172i −0.437123 0.660991i
\(531\) 8.16761 + 3.07149i 0.354444 + 0.133291i
\(532\) −2.53106 + 8.06650i −0.109735 + 0.349727i
\(533\) 13.4834 16.4296i 0.584031 0.711643i
\(534\) −18.3147 + 25.3103i −0.792557 + 1.09528i
\(535\) 24.5103 16.3773i 1.05967 0.708052i
\(536\) −2.47524 + 21.9180i −0.106914 + 0.946715i
\(537\) 5.91263 10.2443i 0.255149 0.442072i
\(538\) 9.02963 16.7015i 0.389295 0.720054i
\(539\) 3.87813 2.07291i 0.167043 0.0892863i
\(540\) 6.38397 + 15.8181i 0.274722 + 0.680702i
\(541\) −1.18311 + 12.0124i −0.0508661 + 0.516452i 0.935666 + 0.352886i \(0.114800\pi\)
−0.986532 + 0.163566i \(0.947700\pi\)
\(542\) −0.673439 + 1.60418i −0.0289267 + 0.0689056i
\(543\) −7.91207 6.93676i −0.339540 0.297685i
\(544\) −10.2618 + 3.96718i −0.439972 + 0.170091i
\(545\) −1.66579 + 1.66579i −0.0713548 + 0.0713548i
\(546\) 10.0317 + 20.5816i 0.429318 + 0.880810i
\(547\) 0.243338 2.47066i 0.0104044 0.105638i −0.988580 0.150698i \(-0.951848\pi\)
0.998984 + 0.0450602i \(0.0143480\pi\)
\(548\) −7.67945 + 36.7740i −0.328050 + 1.57091i
\(549\) −4.53091 6.31917i −0.193374 0.269696i
\(550\) −4.27935 + 1.27591i −0.182472 + 0.0544051i
\(551\) 6.65136 9.95446i 0.283357 0.424074i
\(552\) −1.63676 2.71707i −0.0696652 0.115646i
\(553\) 28.4448 19.0062i 1.20960 0.808226i
\(554\) −7.46423 + 0.699304i −0.317125 + 0.0297106i
\(555\) −7.01843 + 9.79708i −0.297916 + 0.415863i
\(556\) −28.4634 + 2.53004i −1.20712 + 0.107297i
\(557\) 17.1664 + 9.17564i 0.727365 + 0.388784i 0.793131 0.609051i \(-0.208449\pi\)
−0.0657669 + 0.997835i \(0.520949\pi\)
\(558\) 2.59791 37.0881i 0.109978 1.57007i
\(559\) 3.99903 9.65452i 0.169141 0.408343i
\(560\) −20.8362 2.45357i −0.880490 0.103682i
\(561\) −4.13694 + 2.04083i −0.174662 + 0.0861638i
\(562\) 5.51153 + 28.4145i 0.232490 + 1.19860i
\(563\) 13.8732 4.20839i 0.584686 0.177363i 0.0159361 0.999873i \(-0.494927\pi\)
0.568750 + 0.822510i \(0.307427\pi\)
\(564\) −13.8818 37.9596i −0.584530 1.59839i
\(565\) −2.15247 21.8544i −0.0905553 0.919423i
\(566\) 3.68907 + 1.13827i 0.155063 + 0.0478451i
\(567\) −1.89688 28.6969i −0.0796616 1.20516i
\(568\) 16.1119 23.3833i 0.676042 0.981143i
\(569\) −17.6095 + 3.50274i −0.738228 + 0.146843i −0.549861 0.835256i \(-0.685319\pi\)
−0.188367 + 0.982099i \(0.560319\pi\)
\(570\) 3.89857 3.61774i 0.163293 0.151530i
\(571\) −26.8248 8.13721i −1.12258 0.340532i −0.326185 0.945306i \(-0.605763\pi\)
−0.796397 + 0.604774i \(0.793263\pi\)
\(572\) −7.43030 + 2.99518i −0.310676 + 0.125235i
\(573\) −8.40946 8.97620i −0.351310 0.374986i
\(574\) 0.156303 32.8353i 0.00652396 1.37052i
\(575\) 1.49300i 0.0622622i
\(576\) 23.8946 + 2.24631i 0.995610 + 0.0935964i
\(577\) 8.35873i 0.347978i 0.984748 + 0.173989i \(0.0556658\pi\)
−0.984748 + 0.173989i \(0.944334\pi\)
\(578\) −18.6920 0.0889780i −0.777485 0.00370100i
\(579\) −24.0552 25.6763i −0.999698 1.06707i
\(580\) 27.3391 + 11.6304i 1.13519 + 0.482924i
\(581\) −38.1021 11.5582i −1.58074 0.479513i
\(582\) 5.64264 + 6.08066i 0.233895 + 0.252052i
\(583\) −10.5556 + 2.09965i −0.437170 + 0.0869585i
\(584\) 3.33427 + 5.14774i 0.137973 + 0.213015i
\(585\) 0.938074 14.3733i 0.0387846 0.594264i
\(586\) 8.73128 28.2975i 0.360686 1.16896i
\(587\) −3.50556 35.5925i −0.144690 1.46906i −0.743805 0.668397i \(-0.766981\pi\)
0.599115 0.800663i \(-0.295519\pi\)
\(588\) 10.0889 + 4.68581i 0.416061 + 0.193240i
\(589\) −11.0931 + 3.36506i −0.457084 + 0.138655i
\(590\) 6.62829 1.28568i 0.272882 0.0529305i
\(591\) −20.0657 + 9.89876i −0.825392 + 0.407180i
\(592\) 7.70704 + 15.1037i 0.316757 + 0.620759i
\(593\) 13.9410 33.6566i 0.572489 1.38211i −0.326940 0.945045i \(-0.606017\pi\)
0.899429 0.437066i \(-0.143983\pi\)
\(594\) 10.0627 + 0.0437138i 0.412878 + 0.00179360i
\(595\) 8.99651 + 4.80874i 0.368821 + 0.197139i
\(596\) 32.2502 + 26.9850i 1.32102 + 1.10535i
\(597\) −8.20647 + 11.4555i −0.335868 + 0.468841i
\(598\) 0.249846 + 2.66681i 0.0102170 + 0.109054i
\(599\) 22.2687 14.8795i 0.909875 0.607959i −0.0100948 0.999949i \(-0.503213\pi\)
0.919969 + 0.391990i \(0.128213\pi\)
\(600\) −9.08826 6.70908i −0.371027 0.273897i
\(601\) 16.7498 25.0678i 0.683237 1.02254i −0.314085 0.949395i \(-0.601698\pi\)
0.997322 0.0731412i \(-0.0233024\pi\)
\(602\) −4.61286 15.4713i −0.188006 0.630563i
\(603\) −19.0131 + 13.6326i −0.774272 + 0.555160i
\(604\) 15.2247 + 23.2618i 0.619486 + 0.946510i
\(605\) −1.46803 + 14.9052i −0.0596840 + 0.605982i
\(606\) 10.9278 5.32635i 0.443911 0.216368i
\(607\) 2.39712 2.39712i 0.0972963 0.0972963i −0.656783 0.754079i \(-0.728083\pi\)
0.754079 + 0.656783i \(0.228083\pi\)
\(608\) −2.00120 7.21056i −0.0811593 0.292427i
\(609\) −37.6653 33.0224i −1.52628 1.33813i
\(610\) −5.54746 2.32883i −0.224610 0.0942917i
\(611\) −3.34532 + 33.9657i −0.135337 + 1.37410i
\(612\) −10.4178 5.25774i −0.421114 0.212532i
\(613\) −35.8995 + 19.1887i −1.44997 + 0.775024i −0.993404 0.114667i \(-0.963420\pi\)
−0.456564 + 0.889691i \(0.650920\pi\)
\(614\) −20.4717 11.0680i −0.826171 0.446667i
\(615\) −10.3259 + 17.8907i −0.416380 + 0.721422i
\(616\) −5.98963 + 10.8309i −0.241329 + 0.436388i
\(617\) 24.5063 16.3746i 0.986586 0.659216i 0.0460608 0.998939i \(-0.485333\pi\)
0.940526 + 0.339723i \(0.110333\pi\)
\(618\) −6.46142 4.67554i −0.259917 0.188078i
\(619\) 7.30615 8.90257i 0.293659 0.357824i −0.605192 0.796080i \(-0.706903\pi\)
0.898850 + 0.438255i \(0.144403\pi\)
\(620\) −13.3187 25.4986i −0.534893 1.02405i
\(621\) 0.975292 3.21993i 0.0391371 0.129211i
\(622\) 4.86024 3.21415i 0.194878 0.128876i
\(623\) 15.5969 37.6542i 0.624875 1.50858i
\(624\) −17.3563 10.4630i −0.694808 0.418854i
\(625\) −3.12027 7.53301i −0.124811 0.301320i
\(626\) −1.78019 1.20178i −0.0711506 0.0480328i
\(627\) −1.10561 2.93629i −0.0441537 0.117264i
\(628\) −11.9046 1.28704i −0.475044 0.0513587i
\(629\) −0.808113 8.20491i −0.0322216 0.327151i
\(630\) −12.8806 18.1460i −0.513173 0.722956i
\(631\) 29.8126 + 5.93009i 1.18682 + 0.236073i 0.748741 0.662863i \(-0.230659\pi\)
0.438080 + 0.898936i \(0.355659\pi\)
\(632\) −11.9861 + 27.8072i −0.476783 + 1.10611i
\(633\) −0.0889141 + 0.0238377i −0.00353402 + 0.000947462i
\(634\) 7.73762 + 0.799296i 0.307300 + 0.0317441i
\(635\) 32.6766 + 9.91233i 1.29673 + 0.393359i
\(636\) −20.3001 18.1424i −0.804949 0.719393i
\(637\) −5.95907 7.26115i −0.236107 0.287697i
\(638\) 12.4521 12.3341i 0.492985 0.488313i
\(639\) 29.8605 3.93964i 1.18126 0.155850i
\(640\) 16.6599 8.20342i 0.658542 0.324269i
\(641\) 2.17863i 0.0860508i 0.999074 + 0.0430254i \(0.0136996\pi\)
−0.999074 + 0.0430254i \(0.986300\pi\)
\(642\) 29.1582 32.9402i 1.15078 1.30004i
\(643\) 5.69576 4.67439i 0.224619 0.184340i −0.515353 0.856978i \(-0.672339\pi\)
0.739971 + 0.672638i \(0.234839\pi\)
\(644\) 2.89804 + 2.95375i 0.114199 + 0.116394i
\(645\) −2.30489 + 9.89132i −0.0907548 + 0.389471i
\(646\) −0.373864 + 3.61920i −0.0147095 + 0.142396i
\(647\) −33.2098 + 6.60584i −1.30561 + 0.259703i −0.798405 0.602121i \(-0.794322\pi\)
−0.507208 + 0.861824i \(0.669322\pi\)
\(648\) 15.2179 + 20.4063i 0.597815 + 0.801634i
\(649\) 0.777059 3.90654i 0.0305023 0.153345i
\(650\) 4.45651 + 8.43386i 0.174799 + 0.330803i
\(651\) 7.90742 + 47.8533i 0.309916 + 1.87552i
\(652\) −33.6207 3.63485i −1.31669 0.142352i
\(653\) 8.75885 2.65697i 0.342760 0.103975i −0.114211 0.993456i \(-0.536434\pi\)
0.456972 + 0.889481i \(0.348934\pi\)
\(654\) −1.77186 + 3.03646i −0.0692853 + 0.118735i
\(655\) −10.2069 + 4.22784i −0.398817 + 0.165195i
\(656\) 15.6839 + 24.4687i 0.612354 + 0.955341i
\(657\) −1.68195 + 6.28409i −0.0656190 + 0.245166i
\(658\) 29.0851 + 43.9806i 1.13385 + 1.71454i
\(659\) −27.2172 14.5479i −1.06023 0.566705i −0.153384 0.988167i \(-0.549017\pi\)
−0.906846 + 0.421462i \(0.861517\pi\)
\(660\) 6.65029 4.04940i 0.258862 0.157623i
\(661\) −27.3610 22.4546i −1.06422 0.873383i −0.0719417 0.997409i \(-0.522920\pi\)
−0.992279 + 0.124025i \(0.960420\pi\)
\(662\) 31.5056 38.0191i 1.22450 1.47766i
\(663\) 5.99972 + 7.81675i 0.233010 + 0.303577i
\(664\) 33.8679 9.74781i 1.31433 0.378288i
\(665\) −3.85474 + 5.76902i −0.149480 + 0.223713i
\(666\) −6.41061 + 16.8037i −0.248406 + 0.651131i
\(667\) −2.76233 5.16795i −0.106958 0.200104i
\(668\) 2.41832 + 1.64939i 0.0935677 + 0.0638167i
\(669\) −0.669200 + 20.5290i −0.0258728 + 0.793697i
\(670\) −7.00697 + 16.6912i −0.270703 + 0.644836i
\(671\) −2.50971 + 2.50971i −0.0968863 + 0.0968863i
\(672\) −31.0032 + 4.36784i −1.19598 + 0.168493i
\(673\) 19.0520 + 19.0520i 0.734402 + 0.734402i 0.971489 0.237086i \(-0.0761924\pi\)
−0.237086 + 0.971489i \(0.576192\pi\)
\(674\) 42.4061 17.3292i 1.63342 0.667495i
\(675\) −1.17937 11.9234i −0.0453938 0.458933i
\(676\) −4.86673 7.43586i −0.187182 0.285995i
\(677\) 28.3588 15.1581i 1.08992 0.582573i 0.174328 0.984688i \(-0.444225\pi\)
0.915589 + 0.402115i \(0.131725\pi\)
\(678\) −11.4020 30.7244i −0.437893 1.17997i
\(679\) −8.99803 6.01229i −0.345313 0.230731i
\(680\) −8.99747 + 0.756611i −0.345037 + 0.0290147i
\(681\) 16.7915 + 21.8768i 0.643452 + 0.838323i
\(682\) −16.8967 + 1.58300i −0.647007 + 0.0606163i
\(683\) −1.53235 + 1.86717i −0.0586338 + 0.0714454i −0.801501 0.597993i \(-0.795965\pi\)
0.742868 + 0.669438i \(0.233465\pi\)
\(684\) 4.25342 6.70112i 0.162633 0.256224i
\(685\) −14.5337 + 27.1906i −0.555304 + 1.03890i
\(686\) 16.7768 + 3.42022i 0.640543 + 0.130585i
\(687\) 3.79144 11.1743i 0.144652 0.426326i
\(688\) 10.8716 + 9.27402i 0.414474 + 0.353569i
\(689\) 8.79786 + 21.2399i 0.335172 + 0.809177i
\(690\) −0.662134 2.51760i −0.0252070 0.0958434i
\(691\) 12.9095 + 42.5570i 0.491102 + 1.61894i 0.755932 + 0.654650i \(0.227184\pi\)
−0.264831 + 0.964295i \(0.585316\pi\)
\(692\) −20.8833 + 38.1909i −0.793866 + 1.45180i
\(693\) −12.7837 + 2.98449i −0.485614 + 0.113371i
\(694\) −13.1164 4.04710i −0.497892 0.153626i
\(695\) −23.0011 4.57521i −0.872483 0.173548i
\(696\) 43.8718 + 6.40823i 1.66296 + 0.242904i
\(697\) −2.75691 13.8599i −0.104425 0.524982i
\(698\) 29.7353 24.1672i 1.12550 0.914741i
\(699\) 3.41973 14.6756i 0.129346 0.555083i
\(700\) 13.5607 + 5.76889i 0.512547 + 0.218043i
\(701\) 18.3609 + 22.3728i 0.693480 + 0.845008i 0.994070 0.108745i \(-0.0346834\pi\)
−0.300589 + 0.953754i \(0.597183\pi\)
\(702\) −4.10193 21.1004i −0.154817 0.796384i
\(703\) 5.60766 0.211497
\(704\) −0.762001 10.9285i −0.0287190 0.411882i
\(705\) −2.17407 33.0996i −0.0818803 1.24660i
\(706\) 5.66174 + 0.0269511i 0.213082 + 0.00101432i
\(707\) −12.2593 + 10.0610i −0.461059 + 0.378381i
\(708\) 9.07828 4.37151i 0.341183 0.164292i
\(709\) −7.25277 + 23.9092i −0.272383 + 0.897927i 0.708892 + 0.705317i \(0.249195\pi\)
−0.981275 + 0.192610i \(0.938305\pi\)
\(710\) 18.0851 14.6986i 0.678723 0.551628i
\(711\) −30.4100 + 10.3322i −1.14046 + 0.387488i
\(712\) 6.53187 + 35.4785i 0.244792 + 1.32961i
\(713\) −1.10694 + 5.56494i −0.0414550 + 0.208409i
\(714\) 14.8095 + 3.52534i 0.554233 + 0.131933i
\(715\) −6.54312 + 0.644441i −0.244699 + 0.0241007i
\(716\) −3.84007 13.1070i −0.143510 0.489830i
\(717\) −15.8782 42.1695i −0.592981 1.57485i
\(718\) 16.6875 3.23685i 0.622773 0.120798i
\(719\) 1.35089 0.559555i 0.0503795 0.0208679i −0.357351 0.933970i \(-0.616320\pi\)
0.407731 + 0.913102i \(0.366320\pi\)
\(720\) 18.3007 + 7.28277i 0.682028 + 0.271413i
\(721\) 9.61266 + 3.98169i 0.357994 + 0.148286i
\(722\) 23.9036 + 4.87313i 0.889601 + 0.181359i
\(723\) 38.7781 + 17.5637i 1.44217 + 0.653200i
\(724\) −12.1024 + 1.07575i −0.449783 + 0.0399801i
\(725\) −16.1318 13.2390i −0.599121 0.491686i
\(726\) 3.53895 + 22.0692i 0.131343 + 0.819065i
\(727\) −19.3248 28.9217i −0.716718 1.07264i −0.993733 0.111779i \(-0.964345\pi\)
0.277015 0.960866i \(-0.410655\pi\)
\(728\) 25.1877 + 8.03513i 0.933518 + 0.297802i
\(729\) −5.24540 + 26.4856i −0.194274 + 0.980947i
\(730\) 1.43820 + 4.82365i 0.0532302 + 0.178531i
\(731\) −3.27528 6.12762i −0.121141 0.226638i
\(732\) −8.89037 1.25540i −0.328598 0.0464009i
\(733\) −46.3118 4.56131i −1.71056 0.168476i −0.805169 0.593045i \(-0.797925\pi\)
−0.905395 + 0.424569i \(0.860425\pi\)
\(734\) −14.9802 + 6.12163i −0.552930 + 0.225954i
\(735\) 6.86466 + 6.01846i 0.253207 + 0.221994i
\(736\) −3.57429 0.799844i −0.131750 0.0294827i
\(737\) 7.55119 + 7.55119i 0.278152 + 0.278152i
\(738\) −8.11195 + 29.7403i −0.298605 + 1.09475i
\(739\) −43.9587 4.32955i −1.61705 0.159265i −0.751373 0.659877i \(-0.770608\pi\)
−0.865672 + 0.500612i \(0.833108\pi\)
\(740\) 2.58482 + 13.6738i 0.0950197 + 0.502660i
\(741\) −5.69103 + 3.54000i −0.209065 + 0.130045i
\(742\) 31.2436 + 16.8917i 1.14699 + 0.620115i
\(743\) 22.8742 + 15.2841i 0.839175 + 0.560719i 0.899230 0.437477i \(-0.144128\pi\)
−0.0600553 + 0.998195i \(0.519128\pi\)
\(744\) −28.9010 31.7454i −1.05956 1.16384i
\(745\) 19.1731 + 28.6946i 0.702448 + 1.05129i
\(746\) −10.8788 + 13.1279i −0.398301 + 0.480647i
\(747\) 31.7492 + 19.7307i 1.16164 + 0.721909i
\(748\) −1.59468 + 5.08226i −0.0583072 + 0.185826i
\(749\) −27.0532 + 50.6130i −0.988503 + 1.84936i
\(750\) −17.7736 23.3860i −0.649001 0.853937i
\(751\) −37.1395 15.3837i −1.35524 0.561359i −0.417493 0.908680i \(-0.637091\pi\)
−0.937746 + 0.347321i \(0.887091\pi\)
\(752\) −42.7705 18.6779i −1.55968 0.681114i
\(753\) −21.2827 + 10.4991i −0.775584 + 0.382609i
\(754\) −31.0303 20.9481i −1.13006 0.762886i
\(755\) 6.62318 + 21.8337i 0.241042 + 0.794610i
\(756\) −25.4777 21.3002i −0.926617 0.774679i
\(757\) −8.76389 + 0.863168i −0.318529 + 0.0313724i −0.256018 0.966672i \(-0.582411\pi\)
−0.0625107 + 0.998044i \(0.519911\pi\)
\(758\) 18.3606 + 34.7472i 0.666888 + 1.26207i
\(759\) −1.52259 0.200238i −0.0552666 0.00726819i
\(760\) 0.0876985 6.14070i 0.00318116 0.222747i
\(761\) −9.49264 47.7227i −0.344108 1.72995i −0.634396 0.773008i \(-0.718751\pi\)
0.290288 0.956939i \(-0.406249\pi\)
\(762\) 50.9231 + 1.90268i 1.84475 + 0.0689268i
\(763\) 1.33134 4.38885i 0.0481978 0.158887i
\(764\) −14.2022 0.135214i −0.513818 0.00489189i
\(765\) −6.99168 6.54478i −0.252785 0.236627i
\(766\) −33.4922 + 33.1748i −1.21012 + 1.19866i
\(767\) −8.50836 −0.307219
\(768\) 20.9307 18.1634i 0.755270 0.655414i
\(769\) −19.3217 −0.696758 −0.348379 0.937354i \(-0.613268\pi\)
−0.348379 + 0.937354i \(0.613268\pi\)
\(770\) −7.21653 + 7.14815i −0.260066 + 0.257601i
\(771\) −2.77120 2.95796i −0.0998023 0.106528i
\(772\) −40.6253 0.386779i −1.46214 0.0139205i
\(773\) 4.41983