Properties

Label 804.2.bd.a.23.10
Level 804
Weight 2
Character 804.23
Analytic conductor 6.420
Analytic rank 0
Dimension 2640
CM no
Inner twists 8

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Newspace parameters

Level: \( N \) = \( 804 = 2^{2} \cdot 3 \cdot 67 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 804.bd (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.41997232251\)
Analytic rank: \(0\)
Dimension: \(2640\)
Relative dimension: \(132\) over \(\Q(\zeta_{66})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 23.10
Character \(\chi\) = 804.23
Dual form 804.2.bd.a.35.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.38414 - 0.290119i) q^{2} +(1.40173 - 1.01742i) q^{3} +(1.83166 + 0.803128i) q^{4} +(-0.809462 + 0.369669i) q^{5} +(-2.23536 + 1.00158i) q^{6} +(-0.477128 - 0.500397i) q^{7} +(-2.30227 - 1.64304i) q^{8} +(0.929699 - 2.85231i) q^{9} +O(q^{10})\) \(q+(-1.38414 - 0.290119i) q^{2} +(1.40173 - 1.01742i) q^{3} +(1.83166 + 0.803128i) q^{4} +(-0.809462 + 0.369669i) q^{5} +(-2.23536 + 1.00158i) q^{6} +(-0.477128 - 0.500397i) q^{7} +(-2.30227 - 1.64304i) q^{8} +(0.929699 - 2.85231i) q^{9} +(1.22765 - 0.276832i) q^{10} +(-4.02459 - 0.384302i) q^{11} +(3.38462 - 0.737807i) q^{12} +(-5.25964 - 1.01371i) q^{13} +(0.515235 + 0.831041i) q^{14} +(-0.758538 + 1.34174i) q^{15} +(2.70997 + 2.94212i) q^{16} +(-2.70337 + 5.24380i) q^{17} +(-2.11434 + 3.67826i) q^{18} +(-0.345251 + 0.362089i) q^{19} +(-1.77955 + 0.0270071i) q^{20} +(-1.17792 - 0.215981i) q^{21} +(5.45908 + 1.69953i) q^{22} +(1.16552 - 0.466603i) q^{23} +(-4.89882 + 0.0392830i) q^{24} +(-2.75573 + 3.18028i) q^{25} +(6.98596 + 2.92904i) q^{26} +(-1.59882 - 4.94407i) q^{27} +(-0.472054 - 1.29975i) q^{28} +(1.91985 + 1.10842i) q^{29} +(1.43918 - 1.63709i) q^{30} +(0.952117 + 4.94005i) q^{31} +(-2.89740 - 4.85850i) q^{32} +(-6.03239 + 3.55602i) q^{33} +(5.26315 - 6.47383i) q^{34} +(0.571198 + 0.228673i) q^{35} +(3.99366 - 4.47780i) q^{36} +(-4.06524 - 7.04120i) q^{37} +(0.582923 - 0.401016i) q^{38} +(-8.40398 + 3.93033i) q^{39} +(2.47098 + 0.478900i) q^{40} +(-10.3180 + 0.491508i) q^{41} +(1.56774 + 0.640684i) q^{42} +(-3.50400 - 5.45233i) q^{43} +(-7.06304 - 3.93617i) q^{44} +(0.301854 + 2.65252i) q^{45} +(-1.74861 + 0.307703i) q^{46} +(6.05134 + 4.75882i) q^{47} +(6.79203 + 1.36687i) q^{48} +(0.310327 - 6.51456i) q^{49} +(4.73696 - 3.60245i) q^{50} +(1.54577 + 10.1009i) q^{51} +(-8.81975 - 6.08094i) q^{52} +(3.58094 - 5.57205i) q^{53} +(0.778613 + 7.30710i) q^{54} +(3.39982 - 1.17669i) q^{55} +(0.276304 + 1.93599i) q^{56} +(-0.115551 + 0.858817i) q^{57} +(-2.33575 - 2.09119i) q^{58} +(0.625246 + 0.721572i) q^{59} +(-2.46698 + 1.84841i) q^{60} +(7.02345 - 0.670658i) q^{61} +(0.115344 - 7.11393i) q^{62} +(-1.87087 + 0.895697i) q^{63} +(2.60086 + 7.56542i) q^{64} +(4.63222 - 1.12376i) q^{65} +(9.38131 - 3.17191i) q^{66} +(6.84326 + 4.49108i) q^{67} +(-9.16310 + 7.43372i) q^{68} +(1.15901 - 1.83988i) q^{69} +(-0.724273 - 0.482230i) q^{70} +(6.61185 - 3.40864i) q^{71} +(-6.82686 + 5.03924i) q^{72} +(-9.38415 + 0.896078i) q^{73} +(3.58405 + 10.9254i) q^{74} +(-0.627098 + 7.26164i) q^{75} +(-0.923186 + 0.385944i) q^{76} +(1.72794 + 2.19725i) q^{77} +(12.7725 - 3.00196i) q^{78} +(-11.0118 + 3.81121i) q^{79} +(-3.28123 - 1.37974i) q^{80} +(-7.27132 - 5.30358i) q^{81} +(14.4241 + 2.31314i) q^{82} +(-7.64186 + 10.7315i) q^{83} +(-1.98409 - 1.34163i) q^{84} +(0.249803 - 5.24401i) q^{85} +(3.26818 + 8.56334i) q^{86} +(3.81884 - 0.399585i) q^{87} +(8.63425 + 7.49732i) q^{88} +(-7.28704 + 1.04772i) q^{89} +(0.351739 - 3.75901i) q^{90} +(2.00226 + 3.11558i) q^{91} +(2.50958 + 0.0814009i) q^{92} +(6.36074 + 5.95592i) q^{93} +(-6.99524 - 8.34246i) q^{94} +(0.145615 - 0.420726i) q^{95} +(-9.00454 - 3.86243i) q^{96} +(-5.39631 - 9.34668i) q^{97} +(-2.31953 + 8.92701i) q^{98} +(-4.83780 + 11.1221i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} + O(q^{10}) \) \( 2640q - 42q^{4} - 19q^{6} - 32q^{9} - 46q^{10} - 24q^{12} - 88q^{13} - 26q^{16} - 23q^{18} - 128q^{22} - 22q^{24} + 160q^{25} + 44q^{28} - 18q^{30} - 44q^{33} - 6q^{34} - 35q^{36} - 48q^{37} - 92q^{40} - 10q^{42} + 40q^{45} + 46q^{46} - 11q^{48} - 216q^{49} - 76q^{52} + 129q^{54} - 42q^{57} - 56q^{58} - 90q^{60} - 80q^{61} - 48q^{64} - 74q^{66} - 4q^{69} + 96q^{70} - 20q^{72} - 216q^{73} + 76q^{76} - 66q^{78} - 16q^{81} + 20q^{82} - 55q^{84} - 104q^{85} - 30q^{88} - 64q^{90} - 192q^{93} - 32q^{94} - 205q^{96} - 64q^{97} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/804\mathbb{Z}\right)^\times\).

\(n\) \(269\) \(337\) \(403\)
\(\chi(n)\) \(-1\) \(e\left(\frac{14}{33}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.38414 0.290119i −0.978732 0.205145i
\(3\) 1.40173 1.01742i 0.809290 0.587410i
\(4\) 1.83166 + 0.803128i 0.915831 + 0.401564i
\(5\) −0.809462 + 0.369669i −0.362002 + 0.165321i −0.588109 0.808782i \(-0.700127\pi\)
0.226107 + 0.974103i \(0.427400\pi\)
\(6\) −2.23536 + 1.00158i −0.912582 + 0.408895i
\(7\) −0.477128 0.500397i −0.180337 0.189132i 0.627361 0.778729i \(-0.284135\pi\)
−0.807698 + 0.589597i \(0.799287\pi\)
\(8\) −2.30227 1.64304i −0.813974 0.580901i
\(9\) 0.929699 2.85231i 0.309900 0.950769i
\(10\) 1.22765 0.276832i 0.388218 0.0875418i
\(11\) −4.02459 0.384302i −1.21346 0.115871i −0.531370 0.847140i \(-0.678323\pi\)
−0.682090 + 0.731269i \(0.738929\pi\)
\(12\) 3.38462 0.737807i 0.977055 0.212987i
\(13\) −5.25964 1.01371i −1.45876 0.281153i −0.602676 0.797986i \(-0.705899\pi\)
−0.856086 + 0.516833i \(0.827111\pi\)
\(14\) 0.515235 + 0.831041i 0.137702 + 0.222105i
\(15\) −0.758538 + 1.34174i −0.195854 + 0.346436i
\(16\) 2.70997 + 2.94212i 0.677493 + 0.735529i
\(17\) −2.70337 + 5.24380i −0.655663 + 1.27181i 0.293179 + 0.956057i \(0.405287\pi\)
−0.948842 + 0.315751i \(0.897744\pi\)
\(18\) −2.11434 + 3.67826i −0.498354 + 0.866974i
\(19\) −0.345251 + 0.362089i −0.0792060 + 0.0830688i −0.762144 0.647407i \(-0.775853\pi\)
0.682938 + 0.730476i \(0.260702\pi\)
\(20\) −1.77955 + 0.0270071i −0.397920 + 0.00603897i
\(21\) −1.17792 0.215981i −0.257043 0.0471310i
\(22\) 5.45908 + 1.69953i 1.16388 + 0.362342i
\(23\) 1.16552 0.466603i 0.243027 0.0972935i −0.246951 0.969028i \(-0.579429\pi\)
0.489979 + 0.871734i \(0.337005\pi\)
\(24\) −4.89882 + 0.0392830i −0.999968 + 0.00801861i
\(25\) −2.75573 + 3.18028i −0.551146 + 0.636056i
\(26\) 6.98596 + 2.92904i 1.37006 + 0.574432i
\(27\) −1.59882 4.94407i −0.307692 0.951486i
\(28\) −0.472054 1.29975i −0.0892098 0.245630i
\(29\) 1.91985 + 1.10842i 0.356506 + 0.205829i 0.667547 0.744568i \(-0.267344\pi\)
−0.311041 + 0.950397i \(0.600678\pi\)
\(30\) 1.43918 1.63709i 0.262758 0.298890i
\(31\) 0.952117 + 4.94005i 0.171005 + 0.887259i 0.961503 + 0.274794i \(0.0886098\pi\)
−0.790498 + 0.612465i \(0.790178\pi\)
\(32\) −2.89740 4.85850i −0.512194 0.858870i
\(33\) −6.03239 + 3.55602i −1.05010 + 0.619024i
\(34\) 5.26315 6.47383i 0.902623 1.11025i
\(35\) 0.571198 + 0.228673i 0.0965501 + 0.0386528i
\(36\) 3.99366 4.47780i 0.665610 0.746299i
\(37\) −4.06524 7.04120i −0.668321 1.15757i −0.978374 0.206846i \(-0.933680\pi\)
0.310053 0.950719i \(-0.399653\pi\)
\(38\) 0.582923 0.401016i 0.0945625 0.0650534i
\(39\) −8.40398 + 3.93033i −1.34571 + 0.629357i
\(40\) 2.47098 + 0.478900i 0.390696 + 0.0757208i
\(41\) −10.3180 + 0.491508i −1.61140 + 0.0767606i −0.833827 0.552026i \(-0.813855\pi\)
−0.777578 + 0.628787i \(0.783552\pi\)
\(42\) 1.56774 + 0.640684i 0.241908 + 0.0988597i
\(43\) −3.50400 5.45233i −0.534355 0.831472i 0.464171 0.885745i \(-0.346352\pi\)
−0.998526 + 0.0542733i \(0.982716\pi\)
\(44\) −7.06304 3.93617i −1.06479 0.593400i
\(45\) 0.301854 + 2.65252i 0.0449977 + 0.395414i
\(46\) −1.74861 + 0.307703i −0.257818 + 0.0453684i
\(47\) 6.05134 + 4.75882i 0.882678 + 0.694146i 0.952867 0.303388i \(-0.0981178\pi\)
−0.0701890 + 0.997534i \(0.522360\pi\)
\(48\) 6.79203 + 1.36687i 0.980345 + 0.197290i
\(49\) 0.310327 6.51456i 0.0443324 0.930652i
\(50\) 4.73696 3.60245i 0.669908 0.509464i
\(51\) 1.54577 + 10.1009i 0.216451 + 1.41440i
\(52\) −8.81975 6.08094i −1.22308 0.843275i
\(53\) 3.58094 5.57205i 0.491879 0.765379i −0.503231 0.864152i \(-0.667855\pi\)
0.995110 + 0.0987728i \(0.0314917\pi\)
\(54\) 0.778613 + 7.30710i 0.105956 + 0.994371i
\(55\) 3.39982 1.17669i 0.458431 0.158665i
\(56\) 0.276304 + 1.93599i 0.0369226 + 0.258707i
\(57\) −0.115551 + 0.858817i −0.0153051 + 0.113753i
\(58\) −2.33575 2.09119i −0.306699 0.274587i
\(59\) 0.625246 + 0.721572i 0.0814001 + 0.0939407i 0.794989 0.606624i \(-0.207477\pi\)
−0.713589 + 0.700565i \(0.752931\pi\)
\(60\) −2.46698 + 1.84841i −0.318485 + 0.238629i
\(61\) 7.02345 0.670658i 0.899261 0.0858690i 0.364823 0.931077i \(-0.381129\pi\)
0.534438 + 0.845208i \(0.320523\pi\)
\(62\) 0.115344 7.11393i 0.0146487 0.903470i
\(63\) −1.87087 + 0.895697i −0.235708 + 0.112847i
\(64\) 2.60086 + 7.56542i 0.325107 + 0.945677i
\(65\) 4.63222 1.12376i 0.574556 0.139386i
\(66\) 9.38131 3.17191i 1.15476 0.390435i
\(67\) 6.84326 + 4.49108i 0.836038 + 0.548672i
\(68\) −9.16310 + 7.43372i −1.11119 + 0.901471i
\(69\) 1.15901 1.83988i 0.139528 0.221495i
\(70\) −0.724273 0.482230i −0.0865672 0.0576375i
\(71\) 6.61185 3.40864i 0.784682 0.404532i −0.0188283 0.999823i \(-0.505994\pi\)
0.803510 + 0.595291i \(0.202963\pi\)
\(72\) −6.82686 + 5.03924i −0.804553 + 0.593880i
\(73\) −9.38415 + 0.896078i −1.09833 + 0.104878i −0.628449 0.777851i \(-0.716310\pi\)
−0.469883 + 0.882729i \(0.655704\pi\)
\(74\) 3.58405 + 10.9254i 0.416638 + 1.27005i
\(75\) −0.627098 + 7.26164i −0.0724111 + 0.838502i
\(76\) −0.923186 + 0.385944i −0.105897 + 0.0442708i
\(77\) 1.72794 + 2.19725i 0.196917 + 0.250400i
\(78\) 12.7725 3.00196i 1.44620 0.339905i
\(79\) −11.0118 + 3.81121i −1.23892 + 0.428795i −0.866457 0.499252i \(-0.833608\pi\)
−0.372464 + 0.928047i \(0.621487\pi\)
\(80\) −3.28123 1.37974i −0.366852 0.154260i
\(81\) −7.27132 5.30358i −0.807924 0.589286i
\(82\) 14.4241 + 2.31314i 1.59288 + 0.255444i
\(83\) −7.64186 + 10.7315i −0.838803 + 1.17793i 0.143317 + 0.989677i \(0.454223\pi\)
−0.982120 + 0.188257i \(0.939716\pi\)
\(84\) −1.98409 1.34163i −0.216482 0.146383i
\(85\) 0.249803 5.24401i 0.0270949 0.568793i
\(86\) 3.26818 + 8.56334i 0.352417 + 0.923408i
\(87\) 3.81884 0.399585i 0.409423 0.0428400i
\(88\) 8.63425 + 7.49732i 0.920414 + 0.799216i
\(89\) −7.28704 + 1.04772i −0.772425 + 0.111058i −0.517247 0.855836i \(-0.673043\pi\)
−0.255178 + 0.966894i \(0.582134\pi\)
\(90\) 0.351739 3.75901i 0.0370765 0.396235i
\(91\) 2.00226 + 3.11558i 0.209894 + 0.326602i
\(92\) 2.50958 + 0.0814009i 0.261642 + 0.00848663i
\(93\) 6.36074 + 5.95592i 0.659578 + 0.617600i
\(94\) −6.99524 8.34246i −0.721504 0.860459i
\(95\) 0.145615 0.420726i 0.0149397 0.0431655i
\(96\) −9.00454 3.86243i −0.919022 0.394207i
\(97\) −5.39631 9.34668i −0.547912 0.949011i −0.998417 0.0562377i \(-0.982090\pi\)
0.450505 0.892774i \(-0.351244\pi\)
\(98\) −2.31953 + 8.92701i −0.234308 + 0.901764i
\(99\) −4.83780 + 11.1221i −0.486218 + 1.11781i
\(100\) −7.60174 + 3.61200i −0.760174 + 0.361200i
\(101\) −8.31734 2.01777i −0.827606 0.200775i −0.200485 0.979697i \(-0.564252\pi\)
−0.627121 + 0.778922i \(0.715767\pi\)
\(102\) 0.790894 14.4294i 0.0783101 1.42873i
\(103\) 0.613959 + 3.18552i 0.0604952 + 0.313879i 0.999554 0.0298790i \(-0.00951219\pi\)
−0.939058 + 0.343758i \(0.888300\pi\)
\(104\) 10.4435 + 10.9756i 1.02407 + 1.07625i
\(105\) 1.03332 0.260612i 0.100842 0.0254331i
\(106\) −6.57306 + 6.67357i −0.638432 + 0.648194i
\(107\) 8.51069 18.6358i 0.822759 1.80159i 0.284897 0.958558i \(-0.408041\pi\)
0.537862 0.843033i \(-0.319232\pi\)
\(108\) 1.04222 10.3399i 0.100288 0.994958i
\(109\) 7.74646 8.93989i 0.741976 0.856286i −0.251789 0.967782i \(-0.581019\pi\)
0.993765 + 0.111496i \(0.0355643\pi\)
\(110\) −5.04719 + 0.642344i −0.481230 + 0.0612451i
\(111\) −12.8622 5.73379i −1.22083 0.544228i
\(112\) 0.179225 2.75983i 0.0169351 0.260779i
\(113\) −10.0851 + 7.18157i −0.948726 + 0.675585i −0.945916 0.324411i \(-0.894834\pi\)
−0.00281023 + 0.999996i \(0.500895\pi\)
\(114\) 0.409098 1.15520i 0.0383155 0.108194i
\(115\) −0.770954 + 0.808554i −0.0718919 + 0.0753980i
\(116\) 2.62630 + 3.57214i 0.243846 + 0.331665i
\(117\) −7.78131 + 14.0597i −0.719382 + 1.29982i
\(118\) −0.656083 1.18015i −0.0603974 0.108642i
\(119\) 3.91384 1.14921i 0.358781 0.105348i
\(120\) 3.95089 1.84274i 0.360665 0.168218i
\(121\) 5.24841 + 1.01155i 0.477129 + 0.0919590i
\(122\) −9.91598 1.10935i −0.897750 0.100436i
\(123\) −13.9630 + 11.1868i −1.25900 + 1.00868i
\(124\) −2.22354 + 9.81318i −0.199679 + 0.881249i
\(125\) 2.30855 7.86219i 0.206483 0.703215i
\(126\) 2.84940 0.696990i 0.253845 0.0620928i
\(127\) 3.06196 + 3.21129i 0.271705 + 0.284956i 0.845423 0.534097i \(-0.179348\pi\)
−0.573719 + 0.819052i \(0.694500\pi\)
\(128\) −1.40507 11.2261i −0.124191 0.992258i
\(129\) −10.4590 4.07765i −0.920862 0.359017i
\(130\) −6.73764 + 0.211548i −0.590930 + 0.0185539i
\(131\) −0.708966 + 4.93097i −0.0619427 + 0.430821i 0.935126 + 0.354314i \(0.115286\pi\)
−0.997069 + 0.0765064i \(0.975623\pi\)
\(132\) −13.9052 + 1.66866i −1.21030 + 0.145238i
\(133\) 0.345917 0.0299948
\(134\) −8.16906 8.20162i −0.705699 0.708512i
\(135\) 3.12185 + 3.41100i 0.268686 + 0.293572i
\(136\) 14.8396 7.63089i 1.27249 0.654343i
\(137\) −7.07673 1.01748i −0.604606 0.0869293i −0.166788 0.985993i \(-0.553340\pi\)
−0.437818 + 0.899064i \(0.644249\pi\)
\(138\) −2.13801 + 2.21039i −0.182000 + 0.188161i
\(139\) 14.0859 6.43280i 1.19475 0.545623i 0.284096 0.958796i \(-0.408307\pi\)
0.910653 + 0.413173i \(0.135579\pi\)
\(140\) 0.862588 + 0.877597i 0.0729020 + 0.0741705i
\(141\) 13.3241 + 0.513818i 1.12209 + 0.0432713i
\(142\) −10.1406 + 2.79980i −0.850981 + 0.234954i
\(143\) 20.7783 + 6.10107i 1.73757 + 0.510197i
\(144\) 10.9113 4.99439i 0.909273 0.416199i
\(145\) −1.96379 0.187519i −0.163084 0.0155726i
\(146\) 13.2489 + 1.48223i 1.09649 + 0.122670i
\(147\) −6.19308 9.44740i −0.510796 0.779208i
\(148\) −1.79116 16.1620i −0.147232 1.32851i
\(149\) 5.24559 + 17.8648i 0.429736 + 1.46354i 0.835461 + 0.549550i \(0.185201\pi\)
−0.405725 + 0.913995i \(0.632981\pi\)
\(150\) 2.97473 9.86917i 0.242886 0.805814i
\(151\) −0.581576 + 1.12810i −0.0473280 + 0.0918035i −0.911313 0.411713i \(-0.864931\pi\)
0.863985 + 0.503517i \(0.167961\pi\)
\(152\) 1.38978 0.266364i 0.112726 0.0216050i
\(153\) 12.4436 + 12.5860i 1.00601 + 1.01752i
\(154\) −1.75424 3.54261i −0.141361 0.285471i
\(155\) −2.59689 3.64682i −0.208587 0.292919i
\(156\) −18.5498 + 0.449569i −1.48517 + 0.0359943i
\(157\) −9.88225 + 3.95626i −0.788689 + 0.315744i −0.730811 0.682580i \(-0.760858\pi\)
−0.0578785 + 0.998324i \(0.518434\pi\)
\(158\) 16.3475 2.08051i 1.30054 0.165516i
\(159\) −0.649621 11.4538i −0.0515183 0.908348i
\(160\) 4.14138 + 2.86169i 0.327405 + 0.226237i
\(161\) −0.789588 0.360593i −0.0622283 0.0284187i
\(162\) 8.52582 + 9.45041i 0.669852 + 0.742495i
\(163\) −18.8735 10.8966i −1.47828 0.853487i −0.478585 0.878041i \(-0.658850\pi\)
−0.999699 + 0.0245540i \(0.992183\pi\)
\(164\) −19.2939 7.38641i −1.50660 0.576782i
\(165\) 3.56844 5.10845i 0.277803 0.397693i
\(166\) 13.6908 12.6368i 1.06261 0.980805i
\(167\) 1.20694 4.97508i 0.0933959 0.384983i −0.905859 0.423579i \(-0.860773\pi\)
0.999255 + 0.0385962i \(0.0122886\pi\)
\(168\) 2.35702 + 2.43261i 0.181848 + 0.187680i
\(169\) 14.5674 + 5.83192i 1.12057 + 0.448609i
\(170\) −1.86715 + 7.18595i −0.143204 + 0.551137i
\(171\) 0.711809 + 1.32140i 0.0544334 + 0.101050i
\(172\) −2.03922 12.8010i −0.155489 0.976065i
\(173\) 3.11426 + 1.07786i 0.236773 + 0.0819480i 0.442878 0.896582i \(-0.353958\pi\)
−0.206105 + 0.978530i \(0.566079\pi\)
\(174\) −5.40172 0.554839i −0.409504 0.0420623i
\(175\) 2.90624 0.138441i 0.219691 0.0104652i
\(176\) −9.77586 12.8823i −0.736883 0.971037i
\(177\) 1.61057 + 0.375310i 0.121058 + 0.0282100i
\(178\) 10.3902 + 0.663924i 0.778780 + 0.0497632i
\(179\) −0.317602 2.20897i −0.0237387 0.165106i 0.974504 0.224372i \(-0.0720331\pi\)
−0.998242 + 0.0592659i \(0.981124\pi\)
\(180\) −1.57742 + 5.10094i −0.117574 + 0.380202i
\(181\) 7.69698 + 6.05297i 0.572112 + 0.449914i 0.861829 0.507198i \(-0.169319\pi\)
−0.289717 + 0.957112i \(0.593561\pi\)
\(182\) −1.86751 4.89328i −0.138429 0.362714i
\(183\) 9.16264 8.08591i 0.677322 0.597727i
\(184\) −3.44998 0.840746i −0.254336 0.0619806i
\(185\) 5.89357 + 4.19679i 0.433304 + 0.308554i
\(186\) −7.07620 10.0892i −0.518852 0.739773i
\(187\) 12.8951 20.0652i 0.942986 1.46732i
\(188\) 7.26206 + 13.5766i 0.529640 + 0.990172i
\(189\) −1.71116 + 3.15899i −0.124468 + 0.229783i
\(190\) −0.323611 + 0.540096i −0.0234772 + 0.0391827i
\(191\) 17.2737 13.5842i 1.24988 0.982917i 0.249988 0.968249i \(-0.419573\pi\)
0.999892 0.0146676i \(-0.00466901\pi\)
\(192\) 11.3429 + 7.95851i 0.818606 + 0.574356i
\(193\) −8.98633 10.3708i −0.646850 0.746505i 0.333720 0.942672i \(-0.391696\pi\)
−0.980570 + 0.196167i \(0.937150\pi\)
\(194\) 4.75757 + 14.5026i 0.341574 + 1.04123i
\(195\) 5.34978 6.28814i 0.383106 0.450303i
\(196\) 5.80044 11.6832i 0.414317 0.834518i
\(197\) −2.04374 3.96430i −0.145610 0.282444i 0.804740 0.593628i \(-0.202305\pi\)
−0.950350 + 0.311184i \(0.899275\pi\)
\(198\) 9.92290 13.9909i 0.705190 0.994292i
\(199\) 18.8658 4.57680i 1.33736 0.324441i 0.497606 0.867403i \(-0.334213\pi\)
0.839757 + 0.542962i \(0.182697\pi\)
\(200\) 11.5697 2.79409i 0.818105 0.197572i
\(201\) 14.1617 0.667215i 0.998892 0.0470617i
\(202\) 10.9269 + 5.20588i 0.768816 + 0.366284i
\(203\) −0.361360 1.48955i −0.0253625 0.104546i
\(204\) −5.28095 + 19.7428i −0.369741 + 1.38227i
\(205\) 8.17035 4.21211i 0.570642 0.294186i
\(206\) 0.0743777 4.58732i 0.00518214 0.319613i
\(207\) −0.247315 3.75822i −0.0171896 0.261214i
\(208\) −11.2710 18.2216i −0.781505 1.26344i
\(209\) 1.52864 1.32458i 0.105739 0.0916229i
\(210\) −1.50587 + 0.0609357i −0.103915 + 0.00420496i
\(211\) 4.65497 + 5.91928i 0.320461 + 0.407500i 0.919418 0.393282i \(-0.128660\pi\)
−0.598957 + 0.800781i \(0.704418\pi\)
\(212\) 11.0341 7.33016i 0.757827 0.503437i
\(213\) 5.80000 11.5050i 0.397409 0.788313i
\(214\) −17.1865 + 23.3254i −1.17485 + 1.59449i
\(215\) 4.85191 + 3.11813i 0.330897 + 0.212655i
\(216\) −4.44238 + 14.0095i −0.302266 + 0.953224i
\(217\) 2.01771 2.83347i 0.136971 0.192349i
\(218\) −13.3158 + 10.1266i −0.901858 + 0.685861i
\(219\) −12.2424 + 10.8037i −0.827262 + 0.730047i
\(220\) 7.17235 + 0.575192i 0.483559 + 0.0387795i
\(221\) 19.5345 24.8401i 1.31403 1.67092i
\(222\) 16.1396 + 11.6679i 1.08322 + 0.783100i
\(223\) −3.21469 + 0.462203i −0.215272 + 0.0309514i −0.249107 0.968476i \(-0.580137\pi\)
0.0338351 + 0.999427i \(0.489228\pi\)
\(224\) −1.04875 + 3.76798i −0.0700725 + 0.251759i
\(225\) 6.50914 + 10.8169i 0.433943 + 0.721126i
\(226\) 16.0427 7.01438i 1.06714 0.466590i
\(227\) −0.578412 12.1424i −0.0383905 0.805917i −0.933176 0.359420i \(-0.882975\pi\)
0.894785 0.446497i \(1.85267\pi\)
\(228\) −0.901391 + 1.48026i −0.0596961 + 0.0980326i
\(229\) −5.44482 + 15.7318i −0.359804 + 1.03958i 0.609302 + 0.792938i \(0.291450\pi\)
−0.969106 + 0.246646i \(0.920671\pi\)
\(230\) 1.30168 0.895479i 0.0858304 0.0590462i
\(231\) 4.65764 + 1.32191i 0.306451 + 0.0869755i
\(232\) −2.59881 5.70626i −0.170620 0.374635i
\(233\) 10.2135 25.5122i 0.669111 1.67136i −0.0698057 0.997561i \(-0.522238\pi\)
0.738916 0.673797i \(-0.235338\pi\)
\(234\) 14.8494 17.2030i 0.970733 1.12459i
\(235\) −6.65752 1.61510i −0.434288 0.105357i
\(236\) 0.565724 + 1.82383i 0.0368255 + 0.118721i
\(237\) −11.5579 + 16.5459i −0.750768 + 1.07477i
\(238\) −5.75068 + 0.455179i −0.372762 + 0.0295049i
\(239\) −11.9692 + 20.7312i −0.774223 + 1.34099i 0.161008 + 0.986953i \(0.448526\pi\)
−0.935230 + 0.354040i \(0.884808\pi\)
\(240\) −6.00318 + 1.40437i −0.387504 + 0.0906520i
\(241\) −2.11506 + 4.63133i −0.136243 + 0.298330i −0.965440 0.260626i \(-0.916071\pi\)
0.829197 + 0.558957i \(0.188798\pi\)
\(242\) −6.97105 2.92278i −0.448116 0.187884i
\(243\) −15.5884 0.0361743i −0.999997 0.00232058i
\(244\) 13.4032 + 4.41231i 0.858053 + 0.282469i
\(245\) 2.15703 + 5.38801i 0.137808 + 0.344227i
\(246\) 22.5722 11.4331i 1.43915 0.728945i
\(247\) 2.18295 1.55447i 0.138898 0.0989087i
\(248\) 5.92466 12.9377i 0.376216 0.821543i
\(249\) 0.206639 + 22.8177i 0.0130952 + 1.44601i
\(250\) −5.47631 + 10.2126i −0.346352 + 0.645900i
\(251\) 1.81520 + 0.935802i 0.114575 + 0.0590673i 0.514561 0.857454i \(-0.327955\pi\)
−0.399987 + 0.916521i \(0.630985\pi\)
\(252\) −4.14616 + 0.138064i −0.261184 + 0.00869721i
\(253\) −4.87005 + 1.42998i −0.306177 + 0.0899018i
\(254\) −3.30651 5.33319i −0.207469 0.334634i
\(255\) −4.98522 7.60484i −0.312187 0.476234i
\(256\) −1.31211 + 15.9461i −0.0820067 + 0.996632i
\(257\) −0.422291 + 4.42243i −0.0263418 + 0.275864i 0.972699 + 0.232071i \(0.0745502\pi\)
−0.999041 + 0.0437927i \(0.986056\pi\)
\(258\) 13.2937 + 8.67836i 0.827627 + 0.540291i
\(259\) −1.58376 + 5.39378i −0.0984099 + 0.335153i
\(260\) 9.38719 + 1.66191i 0.582169 + 0.103067i
\(261\) 4.94644 4.44549i 0.306177 0.275169i
\(262\) 2.41187 6.61944i 0.149006 0.408951i
\(263\) −10.7879 23.6221i −0.665207 1.45660i −0.877589 0.479414i \(-0.840849\pi\)
0.212381 0.977187i \(1.56812\pi\)
\(264\) 19.7308 + 1.72453i 1.21435 + 0.106137i
\(265\) −0.838820 + 5.83412i −0.0515283 + 0.358387i
\(266\) −0.478796 0.100357i −0.0293569 0.00615329i
\(267\) −9.14850 + 8.88263i −0.559879 + 0.543608i
\(268\) 8.92764 + 13.7221i 0.545342 + 0.838214i
\(269\) 14.8779i 0.907120i −0.891226 0.453560i \(-0.850154\pi\)
0.891226 0.453560i \(-0.149846\pi\)
\(270\) −3.33147 5.62699i −0.202747 0.342448i
\(271\) −6.82600 0.981430i −0.414650 0.0596176i −0.0681669 0.997674i \(-0.521715\pi\)
−0.346483 + 0.938056i \(0.612624\pi\)
\(272\) −22.7539 + 6.25693i −1.37966 + 0.379382i
\(273\) 5.97650 + 2.33006i 0.361714 + 0.141022i
\(274\) 9.49997 + 3.46143i 0.573914 + 0.209112i
\(275\) 12.3129 11.7403i 0.742494 0.707967i
\(276\) 3.60057 2.43920i 0.216729 0.146823i
\(277\) −6.16135 1.80914i −0.370200 0.108700i 0.0913404 0.995820i \(-0.470885\pi\)
−0.461540 + 0.887119i \(0.652703\pi\)
\(278\) −21.3630 + 4.81729i −1.28127 + 0.288922i
\(279\) 14.9757 + 1.87703i 0.896573 + 0.112375i
\(280\) −0.939331 1.46497i −0.0561358 0.0875485i
\(281\) 0.120921 0.627400i 0.00721356 0.0374275i −0.978144 0.207931i \(-0.933327\pi\)
0.985357 + 0.170503i \(0.0545393\pi\)
\(282\) −18.2933 4.57676i −1.08935 0.272542i
\(283\) 1.40240 + 4.77613i 0.0833639 + 0.283911i 0.990616 0.136676i \(-0.0436421\pi\)
−0.907252 + 0.420588i \(0.861824\pi\)
\(284\) 14.8482 0.933326i 0.881081 0.0553827i
\(285\) −0.223944 0.737896i −0.0132653 0.0437092i
\(286\) −26.9900 14.4729i −1.59595 0.855800i
\(287\) 5.16896 + 4.92860i 0.305114 + 0.290926i
\(288\) −16.5517 + 3.74734i −0.975316 + 0.220814i
\(289\) −10.3283 14.5040i −0.607546 0.853179i
\(290\) 2.66375 + 0.829285i 0.156421 + 0.0486973i
\(291\) −17.0737 7.61120i −1.00088 0.446176i
\(292\) −17.9083 5.89536i −1.04800 0.345000i
\(293\) −8.51381 7.37726i −0.497382 0.430984i 0.369698 0.929152i \(-0.379461\pi\)
−0.867081 + 0.498168i \(0.834006\pi\)
\(294\) 5.83119 + 14.8732i 0.340082 + 0.867423i
\(295\) −0.772856 0.352951i −0.0449974 0.0205496i
\(296\) −2.20969 + 22.8900i −0.128436 + 1.33046i
\(297\) 4.53457 + 20.5123i 0.263122 + 1.19024i
\(298\) −2.07768 26.2492i −0.120357 1.52058i
\(299\) −6.60321 + 1.27266i −0.381874 + 0.0736001i
\(300\) −6.98066 + 12.7972i −0.403029 + 0.738849i
\(301\) −1.05647 + 4.35485i −0.0608942 + 0.251009i
\(302\) 1.13226 1.39272i 0.0651544 0.0801419i
\(303\) −13.7116 + 5.63389i −0.787711 + 0.323659i
\(304\) −2.00093 0.0345185i −0.114761 0.00197977i
\(305\) −5.43729 + 3.13922i −0.311339 + 0.179751i
\(306\) −13.5722 21.0308i −0.775872 1.20225i
\(307\) 2.03072 + 0.702839i 0.115899 + 0.0401131i 0.384402 0.923166i \(-0.374408\pi\)
−0.268503 + 0.963279i \(0.586529\pi\)
\(308\) 1.40033 + 5.41238i 0.0797910 + 0.308399i
\(309\) 4.10163 + 3.84059i 0.233334 + 0.218483i
\(310\) 2.53643 + 5.80109i 0.144060 + 0.329480i
\(311\) 2.38373 1.53193i 0.135169 0.0868679i −0.471309 0.881968i \(-0.656218\pi\)
0.606478 + 0.795100i \(0.292582\pi\)
\(312\) 25.8059 + 4.75938i 1.46097 + 0.269447i
\(313\) 1.73431 + 12.0624i 0.0980292 + 0.681808i 0.978278 + 0.207296i \(0.0664664\pi\)
−0.880249 + 0.474512i \(0.842625\pi\)
\(314\) 14.8262 2.60897i 0.836688 0.147232i
\(315\) 1.18329 1.41664i 0.0666708 0.0798184i
\(316\) −23.2307 1.86301i −1.30683 0.104802i
\(317\) 5.38121 + 0.256339i 0.302239 + 0.0143974i 0.198154 0.980171i \(-0.436506\pi\)
0.104085 + 0.994568i \(0.466809\pi\)
\(318\) −2.42381 + 16.0421i −0.135921 + 0.899598i
\(319\) −7.30062 5.19875i −0.408756 0.291074i
\(320\) −4.90199 5.16246i −0.274030 0.288590i
\(321\) −7.03081 34.7814i −0.392422 1.94131i
\(322\) 0.988282 + 0.728184i 0.0550748 + 0.0405801i
\(323\) −0.965381 2.78929i −0.0537152 0.155200i
\(324\) −9.05915 15.5542i −0.503286 0.864120i
\(325\) 17.7180 13.9336i 0.982820 0.772899i
\(326\) 22.9621 + 20.5579i 1.27175 + 1.13860i
\(327\) 1.76280 20.4127i 0.0974829 1.12883i
\(328\) 24.5624 + 15.8213i 1.35623 + 0.873586i
\(329\) −0.505959 5.29864i −0.0278944 0.292123i
\(330\) −6.42126 + 6.03552i −0.353479 + 0.332244i
\(331\) −6.72771 13.0499i −0.369789 0.717290i 0.628372 0.777913i \(-0.283722\pi\)
−0.998161 + 0.0606231i \(0.980691\pi\)
\(332\) −22.6161 + 13.5191i −1.24122 + 0.741956i
\(333\) −23.8631 + 5.04911i −1.30769 + 0.276690i
\(334\) −3.11394 + 6.53603i −0.170387 + 0.357636i
\(335\) −7.19957 1.10561i −0.393355 0.0604062i
\(336\) −2.55669 4.05088i −0.139479 0.220994i
\(337\) 7.78653 + 32.0965i 0.424159 + 1.74841i 0.636562 + 0.771225i \(0.280356\pi\)
−0.212403 + 0.977182i \(0.568129\pi\)
\(338\) −18.4714 12.2985i −1.00471 0.668948i
\(339\) −6.82990 + 20.3274i −0.370949 + 1.10404i
\(340\) 4.66916 9.40463i 0.253221 0.510038i
\(341\) −1.93341 20.2476i −0.104700 1.09647i
\(342\) −0.601878 2.03550i −0.0325459 0.110067i
\(343\) −7.06567 + 6.12244i −0.381510 + 0.330580i
\(344\) −0.891243 + 18.3099i −0.0480526 + 0.987204i
\(345\) −0.258029 + 1.91776i −0.0138918 + 0.103249i
\(346\) −3.99786 2.39541i −0.214926 0.128778i
\(347\) 7.02829 + 20.3069i 0.377298 + 1.09013i 0.960614 + 0.277886i \(0.0896338\pi\)
−0.583316 + 0.812245i \(0.698245\pi\)
\(348\) 7.31575 + 2.33511i 0.392165 + 0.125175i
\(349\) 17.8874 + 11.4956i 0.957492 + 0.615343i 0.923303 0.384073i \(-0.125479\pi\)
0.0341891 + 0.999415i \(0.489115\pi\)
\(350\) −4.06279 0.651534i −0.217165 0.0348259i
\(351\) 3.39734 + 27.6248i 0.181337 + 1.47450i
\(352\) 9.79373 + 20.6670i 0.522008 + 1.10155i
\(353\) 4.20321 + 0.200224i 0.223714 + 0.0106568i 0.159140 0.987256i \(-0.449128\pi\)
0.0645745 + 0.997913i \(0.479431\pi\)
\(354\) −2.12036 0.986737i −0.112696 0.0524445i
\(355\) −4.09197 + 5.20336i −0.217179 + 0.276166i
\(356\) −14.1888 3.93336i −0.752007 0.208468i
\(357\) 4.31691 5.59290i 0.228475 0.296008i
\(358\) −0.201260 + 3.14966i −0.0106369 + 0.166465i
\(359\) 16.4525 10.5734i 0.868328 0.558041i −0.0289128 0.999582i \(-0.509205\pi\)
0.897241 + 0.441541i \(0.145568\pi\)
\(360\) 3.66324 6.60275i 0.193069 0.347996i
\(361\) 0.892146 + 18.7285i 0.0469551 + 0.985708i
\(362\) −8.89758 10.6112i −0.467647 0.557711i
\(363\) 8.38604 3.92194i 0.440153 0.205848i
\(364\) 1.16526 + 7.31476i 0.0610761 + 0.383398i
\(365\) 7.26486 4.19437i 0.380260 0.219543i
\(366\) −15.0282 + 8.53373i −0.785537 + 0.446065i
\(367\) −8.64121 + 21.5847i −0.451067 + 1.12671i 0.512367 + 0.858767i \(0.328769\pi\)
−0.963434 + 0.267945i \(0.913655\pi\)
\(368\) 4.53132 + 2.16461i 0.236212 + 0.112838i
\(369\) −8.19072 + 29.8871i −0.426392 + 1.55586i
\(370\) −6.93992 7.51876i −0.360790 0.390882i
\(371\) −4.49680 + 0.866687i −0.233462 + 0.0449962i
\(372\) 6.86736 + 16.0177i 0.356056 + 0.830480i
\(373\) 15.6164 27.0485i 0.808588 1.40052i −0.105253 0.994445i \(-0.533565\pi\)
0.913842 0.406071i \(-0.133101\pi\)
\(374\) −23.6699 + 24.0319i −1.22394 + 1.24266i
\(375\) −4.76321 13.3694i −0.245971 0.690395i
\(376\) −6.11286 20.8986i −0.315247 1.07777i
\(377\) −8.97408 7.77608i −0.462189 0.400489i
\(378\) 3.28496 3.87604i 0.168960 0.199362i
\(379\) 4.46815 + 11.1609i 0.229513 + 0.573297i 0.997763 0.0668538i \(-0.0212961\pi\)
−0.768249 + 0.640151i \(0.778872\pi\)
\(380\) 0.604613 0.653680i 0.0310160 0.0335331i
\(381\) 7.55928 + 1.38605i 0.387274 + 0.0710097i
\(382\) −27.8502 + 13.7909i −1.42494 + 0.705605i
\(383\) −21.4967 20.4971i −1.09843 1.04735i −0.998629 0.0523432i \(-0.983331\pi\)
−0.0998006 0.995007i \(1.46818\pi\)
\(384\) −13.3912 14.3065i −0.683369 0.730073i
\(385\) −2.21096 1.13983i −0.112681 0.0580910i
\(386\) 9.42954 + 16.9617i 0.479951 + 0.863326i
\(387\) −18.8094 + 4.92546i −0.956134 + 0.250375i
\(388\) −2.37763 21.4539i −0.120706 1.08916i
\(389\) −4.90290 + 25.4386i −0.248587 + 1.28979i 0.616176 + 0.787609i \(0.288681\pi\)
−0.864762 + 0.502181i \(0.832531\pi\)
\(390\) −9.22913 + 7.15157i −0.467335 + 0.362134i
\(391\) −0.704050 + 7.37315i −0.0356053 + 0.372876i
\(392\) −11.4181 + 14.4884i −0.576703 + 0.731774i
\(393\) 4.02310 + 7.63321i 0.202939 + 0.385044i
\(394\) 1.67869 + 6.08005i 0.0845712 + 0.306309i
\(395\) 7.50473 7.15574i 0.377604 0.360044i
\(396\) −17.7937 + 16.4865i −0.894166 + 0.828479i
\(397\) −6.01411 13.1691i −0.301840 0.660937i 0.696559 0.717499i \(-0.254713\pi\)
−0.998399 + 0.0565625i \(0.981986\pi\)
\(398\) −27.4407 + 0.861578i −1.37548 + 0.0431870i
\(399\) 0.484882 0.351944i 0.0242745 0.0176192i
\(400\) −16.8247 + 0.510793i −0.841236 + 0.0255397i
\(401\) 13.7389i 0.686089i −0.939319 0.343045i \(-0.888542\pi\)
0.939319 0.343045i \(-0.111458\pi\)
\(402\) −19.7953 3.18507i −0.987302 0.158857i
\(403\) 26.9481i 1.34238i
\(404\) −13.6140 10.3758i −0.677324 0.516213i
\(405\) 7.84642 + 1.60506i 0.389892 + 0.0797562i
\(406\) 0.0680256 + 2.16657i 0.00337605 + 0.107525i
\(407\) 13.6550 + 29.9002i 0.676851 + 1.48210i
\(408\) 13.0373 25.7946i 0.645444 1.27703i
\(409\) −26.0160 + 24.8063i −1.28641 + 1.22659i −0.326854 + 0.945075i \(0.605989\pi\)
−0.959557 + 0.281515i \(0.909163\pi\)
\(410\) −12.5309 + 3.45976i −0.618856 + 0.170865i
\(411\) −10.9549 + 5.77380i −0.540365 + 0.284801i
\(412\) −1.43382 + 6.32789i −0.0706390 + 0.311753i
\(413\) 0.0627505 0.657153i 0.00308775 0.0323364i
\(414\) −0.748013 + 5.27363i −0.0367628 + 0.259185i
\(415\) 2.21870 11.5117i 0.108912 0.565087i
\(416\) 10.3142 + 28.4911i 0.505694 + 1.39689i
\(417\) 13.1997 23.3484i 0.646393 1.14337i
\(418\) −2.50014 + 1.38991i −0.122286 + 0.0679825i
\(419\) 5.83914 + 3.01029i 0.285261 + 0.147062i 0.594919 0.803786i \(-0.297184\pi\)
−0.309658 + 0.950848i \(0.600215\pi\)
\(420\) 2.10200 + 0.352538i 0.102567 + 0.0172021i
\(421\) −5.62792 5.36621i −0.274288 0.261533i 0.540432 0.841388i \(-0.318261\pi\)
−0.814720 + 0.579855i \(0.803109\pi\)
\(422\) −4.72582 9.54358i −0.230049 0.464574i
\(423\) 19.1996 12.8360i 0.933514 0.624108i
\(424\) −17.3993 + 6.94472i −0.844987 + 0.337265i
\(425\) −9.22701 23.0480i −0.447576 1.11799i
\(426\) −11.3658 + 14.2419i −0.550675 + 0.690020i
\(427\) −3.68668 3.19453i −0.178411 0.154594i
\(428\) 30.5556 27.2993i 1.47696 1.31956i
\(429\) 35.3330 12.5883i 1.70589 0.607769i
\(430\) −5.81107 5.72355i −0.280235 0.276014i
\(431\) −10.4268 + 18.0597i −0.502239 + 0.869904i 0.497757 + 0.867316i \(0.334157\pi\)
−0.999997 + 0.00258764i \(0.999176\pi\)
\(432\) 10.2133 18.1022i 0.491386 0.870942i
\(433\) 23.4412 4.51791i 1.12651 0.217117i 0.408236 0.912877i \(-0.366144\pi\)
0.718275 + 0.695760i \(0.244932\pi\)
\(434\) −3.61482 + 3.33653i −0.173517 + 0.160159i
\(435\) −2.94349 + 1.73516i −0.141130 + 0.0831944i
\(436\) 21.3688 10.1535i 1.02338 0.486262i
\(437\) −0.233445 + 0.583116i −0.0111672 + 0.0278942i
\(438\) 20.0794 11.4021i 0.959433 0.544812i
\(439\) −24.3437 + 14.0548i −1.16186 + 0.670800i −0.951749 0.306878i \(-0.900716\pi\)
−0.210111 + 0.977678i \(0.567382\pi\)
\(440\) −9.76062 2.87698i −0.465319 0.137155i
\(441\) −18.2930 6.94173i −0.871097 0.330559i
\(442\) −34.2449 + 28.7147i −1.62886 + 1.36582i
\(443\) −0.454120 9.53315i −0.0215759 0.452934i −0.983644 0.180124i \(-0.942350\pi\)
0.962068 0.272810i \(1.91205\pi\)
\(444\) −18.9543 20.8324i −0.899532 0.988662i
\(445\) 5.51127 3.54188i 0.261259 0.167901i
\(446\) 4.58366 + 0.292891i 0.217043 + 0.0138688i
\(447\) 25.5290 + 19.7047i 1.20748 + 0.932001i
\(448\) 2.54477 4.91113i 0.120229 0.232029i
\(449\) 8.74427 11.1192i 0.412668 0.524750i −0.534638 0.845081i \(-0.679552\pi\)
0.947305 + 0.320332i \(0.103794\pi\)
\(450\) −5.87135 16.8605i −0.276778 0.794810i
\(451\) 41.7147 + 1.98712i 1.96427 + 0.0935696i
\(452\) −24.2402 + 5.05458i −1.14016 + 0.237747i
\(453\) 0.332542 + 2.17300i 0.0156242 + 0.102097i
\(454\) −2.72213 + 16.9745i −0.127756 + 0.796652i
\(455\) −2.77249 1.78177i −0.129976 0.0835307i
\(456\) 1.67710 1.78737i 0.0785373 0.0837013i
\(457\) 4.74900 + 13.7213i 0.222149 + 0.641857i 0.999912 + 0.0132990i \(0.00423333\pi\)
−0.777763 + 0.628558i \(0.783645\pi\)
\(458\) 12.1004 20.1953i 0.565417 0.943662i
\(459\) 30.2479 + 4.98175i 1.41185 + 0.232528i
\(460\) −2.06150 + 0.861822i −0.0961179 + 0.0401827i
\(461\) −22.5226 + 19.5159i −1.04898 + 0.908947i −0.995974 0.0896476i \(-0.971426\pi\)
−0.0530067 + 0.998594i \(0.516880\pi\)
\(462\) −6.06330 3.18098i −0.282090 0.147992i
\(463\) −2.80712 29.3975i −0.130458 1.36622i −0.789332 0.613966i \(-0.789573\pi\)
0.658874 0.752253i \(1.72897\pi\)
\(464\) 1.94162 + 8.65221i 0.0901372 + 0.401669i
\(465\) −7.35049 2.46972i −0.340871 0.114531i
\(466\) −21.5385 + 32.3492i −0.997751 + 1.49855i
\(467\) 1.68804 + 6.95819i 0.0781132 + 0.321987i 0.997440 0.0715079i \(-0.0227811\pi\)
−0.919327 + 0.393495i \(0.871266\pi\)
\(468\) −25.5444 + 19.5032i −1.18079 + 0.901535i
\(469\) −1.01779 5.56717i −0.0469971 0.257068i
\(470\) 8.74633 + 4.16698i 0.403438 + 0.192209i
\(471\) −9.82707 + 15.6000i −0.452807 + 0.718812i
\(472\) −0.253912 2.68855i −0.0116873 0.123751i
\(473\) 12.0068 + 23.2900i 0.552074 + 1.07087i
\(474\) 20.7980 19.5486i 0.955285 0.897899i
\(475\) −0.200126 2.09581i −0.00918241 0.0961625i
\(476\) 8.09178 + 1.03835i 0.370886 + 0.0475928i
\(477\) −12.5640 15.3943i −0.575266 0.704855i
\(478\) 22.5815 25.2224i 1.03285 1.15364i
\(479\) 8.58684 6.75276i 0.392343 0.308542i −0.402428 0.915452i \(-0.631834\pi\)
0.794771 + 0.606910i \(0.207591\pi\)
\(480\) 8.71665 0.202209i 0.397859 0.00922954i
\(481\) 14.2439 + 41.1552i 0.649468 + 1.87651i
\(482\) 4.27116 5.79677i 0.194546 0.264036i
\(483\) −1.47367 + 0.297891i −0.0670541 + 0.0135545i
\(484\) 8.80092 + 6.06796i 0.400042 + 0.275816i
\(485\) 7.82328 + 5.57093i 0.355237 + 0.252963i
\(486\) 21.5660 + 4.57256i 0.978253 + 0.207416i
\(487\) 24.7166 + 1.17740i 1.12001 + 0.0533529i 0.599408 0.800444i \(-0.295403\pi\)
0.520607 + 0.853797i \(0.325706\pi\)
\(488\) −17.2718 9.99576i −0.781856 0.452487i
\(489\) −37.5420 + 3.92820i −1.69771 + 0.177640i
\(490\) −1.42246 8.08353i −0.0642604 0.365177i
\(491\) −3.73295 25.9632i −0.168466 1.17170i −0.882057 0.471142i \(-0.843842\pi\)
0.713592 0.700562i \(1.75293\pi\)
\(492\) −34.5599 + 9.27627i −1.55808 + 0.418207i
\(493\) −11.0024 + 7.07081i −0.495523 + 0.318453i
\(494\) −3.47248 + 1.51828i −0.156234 + 0.0683108i
\(495\) −0.195470 10.7913i −0.00878573 0.485032i
\(496\) −11.9540 + 16.1886i −0.536750 + 0.726891i
\(497\) −4.86037 1.68219i −0.218017 0.0754566i
\(498\) 6.33382 31.6427i 0.283825 1.41794i
\(499\) −37.6939 + 21.7626i −1.68741 + 0.974228i −0.730924 + 0.682459i \(0.760911\pi\)
−0.956489 + 0.291769i \(0.905756\pi\)
\(500\) 10.5428 12.5468i 0.471489 0.561110i
\(501\) −3.36996 8.20170i −0.150559 0.366425i
\(502\) −2.24099 1.82190i −0.100020 0.0813154i
\(503\) 1.26615 5.21913i 0.0564547 0.232709i −0.936594 0.350418i \(-0.886040\pi\)
0.993048 + 0.117708i \(0.0375548\pi\)
\(504\) 5.77891 + 1.01178i 0.257413 + 0.0450683i
\(505\) 7.47848 1.44136i 0.332788 0.0641396i
\(506\) 7.15567 0.566386i 0.318108 0.0251789i
\(507\) 26.3532 6.64647i 1.17039 0.295180i
\(508\) 3.02940 + 8.34114i 0.134408 + 0.370078i
\(509\) 2.27447 + 1.03872i 0.100814 + 0.0460403i 0.465184 0.885214i \(-0.345988\pi\)
−0.364370 + 0.931254i \(0.618715\pi\)
\(510\) 4.69391 + 11.9724i 0.207850 + 0.530149i
\(511\) 4.92583 + 4.26826i 0.217906 + 0.188817i
\(512\) 6.44240 21.6909i 0.284717 0.958612i
\(513\) 2.34218 + 1.12803i 0.103410 + 0.0498037i
\(514\) 1.86754 5.99873i 0.0823736 0.264593i
\(515\) −1.67457 2.35160i −0.0737902 0.103624i
\(516\) −15.8825 15.8688i −0.699186 0.698584i
\(517\) −22.5253 21.4778i −0.990662 0.944595i
\(518\) 3.75697 7.00625i 0.165072 0.307837i
\(519\) 5.46200 1.65766i 0.239755 0.0727632i
\(520\) −12.5110 5.02371i −0.548643 0.220304i
\(521\) −5.14575 17.5248i −0.225439 0.767775i −0.992070 0.125687i \(-0.959886\pi\)
0.766631 0.642088i \(-0.221932\pi\)
\(522\) −8.13627 + 4.71810i −0.356115 + 0.206506i
\(523\) 0.414611 2.15121i 0.0181297 0.0940657i −0.971737 0.236067i \(-0.924142\pi\)
0.989866 + 0.142001i \(0.0453537\pi\)
\(524\) −5.25878 + 8.46248i −0.229731 + 0.369685i
\(525\) 3.93291 3.15093i 0.171646 0.137518i
\(526\) 8.07863 + 35.8259i 0.352245 + 1.56209i
\(527\) −28.4786 8.36206i −1.24055 0.364257i
\(528\) −26.8098 8.11127i −1.16675 0.352998i
\(529\) −15.5052 + 14.7841i −0.674138 + 0.642789i
\(530\) 2.85363 7.83186i 0.123954 0.340194i
\(531\) 2.63944 1.11255i 0.114542 0.0482805i
\(532\) 0.633603 + 0.277815i 0.0274702 + 0.0120448i
\(533\) 54.7673 + 7.87436i 2.37224 + 0.341076i
\(534\) 15.2398 9.64060i 0.659490 0.417190i
\(535\) 18.2311i 0.788200i
\(536\) −8.37600 21.5834i −0.361788 0.932260i
\(537\) −2.69265 2.77325i −0.116196 0.119674i
\(538\) −4.31635 + 20.5930i −0.186091 + 0.887827i
\(539\) −3.75250 + 26.0992i −0.161631 + 1.12417i
\(540\) 2.97870 + 8.75504i 0.128183 + 0.376757i
\(541\) 4.37646 + 9.58311i 0.188159 + 0.412010i 0.980077 0.198617i \(-0.0636448\pi\)
−0.791919 + 0.610627i \(0.790918\pi\)
\(542\) 9.16337 + 3.33878i 0.393601 + 0.143413i
\(543\) 16.9475 + 0.653550i 0.727288 + 0.0280465i
\(544\) 33.3098 2.05909i 1.42814 0.0882828i
\(545\) −2.96566 + 10.1001i −0.127035 + 0.432642i
\(546\) −7.59629 4.95901i −0.325091 0.212226i
\(547\) −3.83078 + 40.1177i −0.163792 + 1.71531i 0.423466 + 0.905912i \(0.360813\pi\)
−0.587259 + 0.809399i \(0.699793\pi\)
\(548\) −12.1450 7.54720i −0.518809 0.322401i
\(549\) 4.61677 20.6566i 0.197039 0.881600i
\(550\) −20.4488 + 12.6780i −0.871938 + 0.540590i
\(551\) −1.06418 + 0.312470i −0.0453354 + 0.0133117i
\(552\) −5.69134 + 2.33159i −0.242239 + 0.0992391i
\(553\) 7.16114 + 3.69183i 0.304523 + 0.156992i
\(554\) 8.00328 + 4.29162i 0.340027 + 0.182333i
\(555\) 12.5311 0.113483i 0.531916 0.00481709i
\(556\) 30.9669 0.469965i 1.31329 0.0199310i
\(557\) 2.48371 1.76864i 0.105238 0.0749396i −0.526226 0.850344i \(-0.676394\pi\)
0.631464 + 0.775405i \(0.282454\pi\)
\(558\) −20.1839 6.94281i −0.854452 0.293912i
\(559\) 12.9027 + 32.2293i 0.545725 + 1.36316i
\(560\) 0.875147 + 2.30023i 0.0369817 + 0.0972025i
\(561\) −2.33932 41.2459i −0.0987662 1.74140i
\(562\) −0.349392 + 0.833324i −0.0147382 + 0.0351517i
\(563\) −7.36666 + 16.1307i −0.310468 + 0.679829i −0.998969 0.0454061i \(-0.985542\pi\)
0.688501 + 0.725235i \(0.258269\pi\)
\(564\) 23.9926 + 11.6421i 1.01027 + 0.490220i
\(565\) 5.50870 9.54135i 0.231753 0.401408i
\(566\) −0.555463 7.01767i −0.0233479 0.294975i
\(567\) 0.815454 + 6.16903i 0.0342459 + 0.259075i
\(568\) −20.8228 3.01591i −0.873703 0.126545i
\(569\) −11.8973 2.88626i −0.498762 0.120998i −0.0215169 0.999768i \(-0.506850\pi\)
−0.477245 + 0.878770i \(0.658365\pi\)
\(570\) 0.0958909 + 1.08632i 0.00401643 + 0.0455008i
\(571\) 13.5116 33.7502i 0.565441 1.41240i −0.319896 0.947453i \(-0.603648\pi\)
0.885337 0.464951i \(-0.153928\pi\)
\(572\) 33.1589 + 27.8627i 1.38644 + 1.16500i
\(573\) 10.3922 36.6160i 0.434140 1.52966i
\(574\) −5.72467 8.32146i −0.238943 0.347331i
\(575\) −1.72792 + 4.99251i −0.0720594 + 0.208202i
\(576\) 23.9969 0.384881i 0.999871 0.0160367i
\(577\) 0.124481 + 2.61319i 0.00518223 + 0.108788i 0.999976 + 0.00688290i \(0.00219091\pi\)
−0.994794 + 0.101906i \(0.967506\pi\)
\(578\) 10.0878 + 23.0720i 0.419599 + 0.959669i
\(579\) −23.1479 5.39414i −0.961993 0.224173i
\(580\) −3.44640 1.92065i −0.143104 0.0797506i
\(581\) 9.01615 1.29633i 0.374053 0.0537807i
\(582\) 21.4242 + 15.4883i 0.888060 + 0.642012i
\(583\) −16.5531 + 21.0490i −0.685561 + 0.871762i
\(584\) 23.0771 + 13.3555i 0.954937 + 0.552655i
\(585\) 1.10125 14.2573i 0.0455310 0.589466i
\(586\) 9.64399 + 12.6811i 0.398389 + 0.523853i
\(587\) −0.795898 + 1.11768i −0.0328502 + 0.0461317i −0.830674 0.556758i \(-0.812045\pi\)
0.797824 + 0.602890i \(0.205984\pi\)
\(588\) −3.75615 22.2783i −0.154901 0.918741i
\(589\) −2.11746 1.36081i −0.0872482 0.0560710i
\(590\) 0.967339 + 0.712752i 0.0398247 + 0.0293436i
\(591\) −6.89814 3.47753i −0.283751 0.143047i
\(592\) 9.69935 31.0418i 0.398641 1.27581i
\(593\) 2.02085 + 2.56973i 0.0829865 + 0.105526i 0.825774 0.564002i \(-0.190739\pi\)
−0.742787 + 0.669528i \(0.766496\pi\)
\(594\) −0.325463 29.7073i −0.0133539 1.21891i
\(595\) −2.74328 + 2.37706i −0.112463 + 0.0974500i
\(596\) −4.73960 + 36.9352i −0.194142 + 1.51293i
\(597\) 21.7883 25.6100i 0.891734 1.04815i
\(598\) 9.50896 + 0.154176i 0.388850 + 0.00630473i
\(599\) −7.99503 + 4.12172i −0.326668 + 0.168409i −0.613757 0.789495i \(-0.710343\pi\)
0.287089 + 0.957904i \(0.407312\pi\)
\(600\) 13.3749 15.6879i 0.546028 0.640455i
\(601\) 9.18877 + 37.8766i 0.374818 + 1.54502i 0.777024 + 0.629470i \(0.216728\pi\)
−0.402207 + 0.915549i \(0.631757\pi\)
\(602\) 2.72573 5.72120i 0.111092 0.233179i
\(603\) 19.1721 15.3437i 0.780748 0.624845i
\(604\) −1.97126 + 1.59922i −0.0802094 + 0.0650713i
\(605\) −4.62233 + 1.12137i −0.187924 + 0.0455900i
\(606\) 20.6132 3.82008i 0.837354 0.155180i
\(607\) −6.91957 13.4221i −0.280857 0.544786i 0.705639 0.708571i \(-0.250660\pi\)
−0.986496 + 0.163785i \(0.947630\pi\)
\(608\) 2.75954 + 0.628285i 0.111914 + 0.0254803i
\(609\) −2.02203 1.72029i −0.0819367 0.0697095i
\(610\) 8.43670 2.76765i 0.341592 0.112059i
\(611\) −27.0038 31.1640i −1.09246 1.26076i
\(612\) 12.6843 + 33.0471i 0.512734 + 1.33585i
\(613\) 0.105143 0.0826852i 0.00424667 0.00333962i −0.616033 0.787720i \(-0.711261\pi\)
0.620280 + 0.784380i \(0.287019\pi\)
\(614\) −2.60688 1.56197i −0.105205 0.0630361i
\(615\) 7.16714 14.2169i 0.289007 0.573283i
\(616\) −0.368006 7.89773i −0.0148274 0.318209i
\(617\) −15.7018 + 24.4325i −0.632132 + 0.983617i 0.366453 + 0.930437i \(0.380572\pi\)
−0.998585 + 0.0531804i \(0.983064\pi\)
\(618\) −4.56298 6.50586i −0.183550 0.261704i
\(619\) −12.4744 8.88295i −0.501387 0.357036i 0.301210 0.953558i \(-0.402609\pi\)
−0.802597 + 0.596522i \(0.796549\pi\)
\(620\) −1.82776 8.76536i −0.0734045 0.352026i
\(621\) −4.17037 5.01639i −0.167351 0.201301i
\(622\) −3.74385 + 1.42884i −0.150115 + 0.0572911i
\(623\) 4.00113 + 3.14652i 0.160302 + 0.126063i
\(624\) −34.3380 14.0744i −1.37462 0.563427i
\(625\) −1.95666 13.6089i −0.0782665 0.544355i
\(626\) 1.09901 17.1992i 0.0439253 0.687418i
\(627\) 0.795091 3.41198i 0.0317529 0.136261i
\(628\) −21.2783 0.690185i −0.849097 0.0275414i
\(629\) 47.9125 2.28235i 1.91039 0.0910033i
\(630\) −2.04882 + 1.61752i −0.0816271 + 0.0644436i
\(631\) 13.3975 + 4.63693i 0.533347 + 0.184593i 0.580448 0.814297i \(-0.302877\pi\)
−0.0471017 + 0.998890i \(0.514999\pi\)
\(632\) 31.6140 + 9.31833i 1.25754 + 0.370663i
\(633\) 12.5474 + 3.56116i 0.498715 + 0.141543i
\(634\) −7.37395 1.91600i −0.292857 0.0760940i
\(635\) −3.66565 1.46751i −0.145467 0.0582362i
\(636\) 8.00901 21.5013i 0.317578 0.852582i
\(637\) −8.23611 + 33.9497i −0.326326 + 1.34514i
\(638\) 8.59679 + 9.31382i 0.340350 + 0.368738i
\(639\) −3.57547 22.0280i −0.141444 0.871416i
\(640\) 5.28730 + 8.56771i 0.208999 + 0.338668i
\(641\) −10.4188 6.01532i −0.411520 0.237591i 0.279923 0.960023i \(-0.409691\pi\)
−0.691442 + 0.722432i \(0.743024\pi\)
\(642\) −0.359132 + 50.1819i −0.0141738 + 1.98052i
\(643\) 11.3068 + 5.16362i 0.445895 + 0.203633i 0.625692 0.780070i \(-0.284817\pi\)
−0.179797 + 0.983704i \(0.557544\pi\)
\(644\) −1.15666 1.29462i −0.0455787 0.0510154i
\(645\) 9.97353 0.565663i 0.392707 0.0222730i
\(646\) 0.526994 + 4.14082i 0.0207343 + 0.162919i
\(647\) −13.8087 + 5.52818i −0.542877 + 0.217335i −0.626860 0.779132i \(-0.715660\pi\)
0.0839828 + 0.996467i \(0.473236\pi\)
\(648\) 8.02654 + 24.1573i 0.315312 + 0.948988i
\(649\) −2.23906 3.14431i −0.0878906 0.123425i
\(650\) −28.5666 + 14.1457i −1.12047 + 0.554839i
\(651\) −0.0545597 6.02463i −0.00213836 0.236124i
\(652\) −25.8184 35.1167i −1.01113 1.37528i
\(653\) −20.2284 + 39.2377i −0.791600 + 1.53549i 0.0520797 + 0.998643i \(0.483415\pi\)
−0.843680 + 0.536847i \(0.819615\pi\)
\(654\) −8.36207 + 27.7426i −0.326983 + 1.08482i
\(655\) −1.24894 4.25351i −0.0488003 0.166199i
\(656\) −29.4076 29.0249i −1.14817 1.13323i
\(657\) −6.16854 + 27.5996i −0.240658 + 1.07676i
\(658\) −0.836920 + 7.48082i −0.0326265 + 0.291633i
\(659\) 24.1879 + 2.30967i 0.942229 + 0.0899719i 0.554851 0.831949i \(-0.312775\pi\)
0.387377 + 0.921921i \(0.373381\pi\)
\(660\) 10.6389 6.49105i 0.414119 0.252664i
\(661\) −10.0914 2.96311i −0.392511 0.115252i 0.0795206 0.996833i \(-0.474661\pi\)
−0.472032 + 0.881582i \(0.656479\pi\)
\(662\) 5.52603 + 20.0147i 0.214775 + 0.777894i
\(663\) 2.10917 54.6939i 0.0819133 2.12414i
\(664\) 35.2258 12.1509i 1.36703 0.471546i
\(665\) −0.280007 + 0.127875i −0.0108582 + 0.00495877i
\(666\) 34.4946 0.0655181i 1.33664 0.00253878i
\(667\) 2.75481 + 0.396082i 0.106667 + 0.0153364i
\(668\) 6.20633 8.14334i 0.240130 0.315075i
\(669\) −4.03588 + 3.91859i −0.156036 + 0.151501i
\(670\) 9.64442 + 3.61905i 0.372597 + 0.139816i
\(671\) −28.5242 −1.10117
\(672\) 2.36357 + 6.34872i 0.0911766 + 0.244907i
\(673\) −1.07857 + 7.50161i −0.0415758 + 0.289166i 0.958417 + 0.285371i \(0.0921169\pi\)
−0.999993 + 0.00379448i \(0.998792\pi\)
\(674\) −1.46581 46.6849i −0.0564607 1.79824i
\(675\) 20.1294 + 8.53982i 0.774782 + 0.328698i
\(676\) 21.9988 + 22.3816i 0.846110 + 0.860832i
\(677\) −6.52664 6.84494i −0.250839 0.263073i 0.586261 0.810122i \(-0.300599\pi\)
−0.837100 + 0.547050i \(0.815751\pi\)
\(678\) 15.3509 26.1545i 0.589547 1.00446i
\(679\) −2.10232 + 7.15986i −0.0806798 + 0.274770i
\(680\) −9.19121 + 11.6627i −0.352467 + 0.447243i
\(681\) −13.1647 16.4318i −0.504472 0.629669i
\(682\) −3.19810 + 28.5863i −0.122462 + 1.09463i
\(683\) 44.9135 + 8.65636i 1.71857 + 0.331226i 0.950871 0.309588i \(-0.100191\pi\)
0.767695 + 0.640815i \(0.221403\pi\)
\(684\) 0.242544 + 2.99202i 0.00927391 + 0.114403i
\(685\) 6.10448 1.79244i 0.233240 0.0684855i
\(686\) 11.5561 6.42440i 0.441213 0.245285i
\(687\) 8.37370 + 27.5914i 0.319477 + 1.05268i
\(688\) 6.54565 25.0848i 0.249551 0.956350i
\(689\) −24.4829 + 25.6769i −0.932724 + 0.978213i
\(690\) 0.913526 2.57958i 0.0347773 0.0982030i
\(691\) 26.5761 18.9248i 1.01100 0.719933i 0.0506501 0.998716i \(-0.483871\pi\)
0.960354 + 0.278784i \(0.0899313\pi\)
\(692\) 4.83862 + 4.47542i 0.183937 + 0.170130i
\(693\) 7.87371 2.88583i 0.299098 0.109624i
\(694\) −3.83669 30.1465i −0.145639 1.14435i
\(695\) −9.02397 + 10.4142i −0.342299 + 0.395034i
\(696\) −9.44852 5.35455i −0.358145 0.202964i
\(697\) 25.3160 55.4344i 0.958913 2.09973i
\(698\) −21.4235 21.1009i −0.810893 0.798680i
\(699\) −11.6401 46.1527i −0.440267 1.74565i
\(700\) 5.43444 + 2.08050i 0.205402 + 0.0786357i
\(701\) 6.15687 + 31.9449i 0.232542 + 1.20654i 0.891028 + 0.453949i \(0.149985\pi\)
−0.658486 + 0.752593i \(0.728803\pi\)
\(702\) 3.31208 39.2220i 0.125006 1.48034i
\(703\) 3.95306 + 0.959003i 0.149093 + 0.0361695i
\(704\) −7.55997 31.4472i −0.284927 1.18521i
\(705\) −10.9753 + 4.50958i −0.413353 + 0.169841i
\(706\) −5.75972 1.49657i −0.216770 0.0563240i
\(707\) 2.95875 + 5.12471i 0.111275 + 0.192734i
\(708\) 2.64860 + 1.98094i 0.0995405 + 0.0744481i
\(709\) −1.60562 + 4.63912i −0.0603001 + 0.174226i −0.971127 0.238562i \(-0.923324\pi\)
0.910827 + 0.412788i \(0.135445\pi\)
\(710\) 7.17343 6.01500i 0.269214 0.225739i
\(711\) 0.633115 + 34.9522i 0.0237437 + 1.31081i
\(712\) 18.4981 + 9.56075i 0.693247 + 0.358304i
\(713\) 3.41475 + 5.31346i 0.127884 + 0.198991i
\(714\) −7.59780 + 6.48892i −0.284341 + 0.242842i
\(715\) −19.0746 + 2.74252i −0.713351 + 0.102564i
\(716\) 1.19235 4.30116i 0.0445601 0.160742i
\(717\) 4.31487 + 41.2374i 0.161142 + 1.54004i
\(718\) −25.8400 + 9.86179i −0.964339 + 0.368039i
\(719\) −0.401345 + 8.42527i −0.0149676 + 0.314209i 0.978951 + 0.204094i \(0.0654249\pi\)
−0.993919 + 0.110115i \(0.964878\pi\)
\(720\) −6.98600 + 8.07633i −0.260353 + 0.300987i
\(721\) 1.30109 1.82712i 0.0484551 0.0680457i
\(722\) 4.19863 26.1815i 0.156257 0.974376i
\(723\) 1.74728 + 8.64379i 0.0649822 + 0.321466i
\(724\) 9.23696 + 17.2687i 0.343289 + 0.641785i
\(725\) −8.81568 + 3.05113i −0.327406 + 0.113316i
\(726\) −12.7452 + 2.99555i −0.473020 + 0.111175i
\(727\) −23.2516 29.5668i −0.862353 1.09657i −0.994437 0.105333i \(-0.966409\pi\)
0.132084 0.991239i \(1.54217\pi\)
\(728\) 0.509276 10.4627i 0.0188750 0.387773i
\(729\) −21.8876 + 15.8093i −0.810651 + 0.585530i
\(730\) −11.2724 + 3.69790i −0.417211 + 0.136865i
\(731\) 38.0635 3.63462i 1.40783 0.134431i
\(732\) 23.2769 7.45187i 0.860338 0.275429i
\(733\) 42.8928 22.1128i 1.58428 0.816753i 0.584294 0.811542i \(-0.301372\pi\)
0.999986 0.00521089i \(-0.00165869\pi\)
\(734\) 18.2227 27.3692i 0.672613 1.01021i
\(735\) 8.50547 + 5.35792i 0.313729 + 0.197630i
\(736\) −5.64397 4.31074i −0.208040 0.158896i
\(737\) −25.8154 20.7046i −0.950922 0.762664i
\(738\) 20.0079 38.9915i 0.736501 1.43530i
\(739\) −7.53440 + 1.82783i −0.277157 + 0.0672376i −0.371928 0.928261i \(-0.621303\pi\)
0.0947710 + 0.995499i \(0.469788\pi\)
\(740\) 7.42446 + 12.4204i 0.272929 + 0.456582i
\(741\) 1.47835 4.39994i 0.0543086 0.161636i
\(742\) 6.47562 + 0.104994i 0.237728 + 0.00385446i
\(743\) −31.8998 + 3.04606i −1.17029 + 0.111749i −0.662045 0.749464i \(-0.730311\pi\)
−0.508244 + 0.861213i \(0.669705\pi\)
\(744\) −4.85831 24.1630i −0.178114 0.885860i
\(745\) −10.8502 12.5218i −0.397520 0.458762i
\(746\) −29.4625 + 32.9081i −1.07870 + 1.20485i
\(747\) 23.5049 + 31.7740i 0.859999 + 1.16255i
\(748\) 39.7345 26.3963i 1.45284 0.965144i
\(749\) −13.3860 + 4.63294i −0.489113 + 0.169284i