Properties

Label 96.2.n.a.13.3
Level $96$
Weight $2$
Character 96.13
Analytic conductor $0.767$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

Newspace parameters

Level: \( N \) \(=\) \( 96 = 2^{5} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 96.n (of order \(8\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.766563859404\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{8})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{8}]$

Embedding invariants

Embedding label 13.3
Character \(\chi\) \(=\) 96.13
Dual form 96.2.n.a.37.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.603367 + 1.27904i) q^{2} +(0.382683 - 0.923880i) q^{3} +(-1.27190 - 1.54346i) q^{4} +(3.68816 - 1.52768i) q^{5} +(0.950782 + 1.04691i) q^{6} +(-1.63704 + 1.63704i) q^{7} +(2.74158 - 0.695531i) q^{8} +(-0.707107 - 0.707107i) q^{9} +O(q^{10})\) \(q+(-0.603367 + 1.27904i) q^{2} +(0.382683 - 0.923880i) q^{3} +(-1.27190 - 1.54346i) q^{4} +(3.68816 - 1.52768i) q^{5} +(0.950782 + 1.04691i) q^{6} +(-1.63704 + 1.63704i) q^{7} +(2.74158 - 0.695531i) q^{8} +(-0.707107 - 0.707107i) q^{9} +(-0.271341 + 5.63906i) q^{10} +(1.20420 + 2.90719i) q^{11} +(-1.91271 + 0.584420i) q^{12} +(-3.30127 - 1.36743i) q^{13} +(-1.10611 - 3.08158i) q^{14} -3.99203i q^{15} +(-0.764563 + 3.92625i) q^{16} +0.511560i q^{17} +(1.33106 - 0.477774i) q^{18} +(-0.254077 - 0.105242i) q^{19} +(-7.04888 - 3.74948i) q^{20} +(0.885960 + 2.13890i) q^{21} +(-4.44500 - 0.213885i) q^{22} +(-3.17185 - 3.17185i) q^{23} +(0.406568 - 2.79905i) q^{24} +(7.73315 - 7.73315i) q^{25} +(3.74088 - 3.39740i) q^{26} +(-0.923880 + 0.382683i) q^{27} +(4.60886 + 0.444569i) q^{28} +(-2.75087 + 6.64118i) q^{29} +(5.10598 + 2.40866i) q^{30} -5.82083 q^{31} +(-4.56053 - 3.34688i) q^{32} +3.14672 q^{33} +(-0.654306 - 0.308659i) q^{34} +(-3.53678 + 8.53855i) q^{35} +(-0.192028 + 1.99076i) q^{36} +(-5.53467 + 2.29253i) q^{37} +(0.287911 - 0.261476i) q^{38} +(-2.52668 + 2.52668i) q^{39} +(9.04881 - 6.75349i) q^{40} +(3.94823 + 3.94823i) q^{41} +(-3.27030 - 0.157361i) q^{42} +(1.30801 + 3.15781i) q^{43} +(2.95553 - 5.55628i) q^{44} +(-3.68816 - 1.52768i) q^{45} +(5.97071 - 2.14313i) q^{46} -9.41403i q^{47} +(3.33480 + 2.20888i) q^{48} +1.64019i q^{49} +(5.22509 + 14.5570i) q^{50} +(0.472620 + 0.195765i) q^{51} +(2.08829 + 6.83462i) q^{52} +(2.50482 + 6.04717i) q^{53} +(0.0679707 - 1.41258i) q^{54} +(8.88255 + 8.88255i) q^{55} +(-3.34946 + 5.62669i) q^{56} +(-0.194462 + 0.194462i) q^{57} +(-6.83457 - 7.52555i) q^{58} +(13.3423 - 5.52657i) q^{59} +(-6.16156 + 5.07745i) q^{60} +(3.35835 - 8.10777i) q^{61} +(3.51210 - 7.44509i) q^{62} +2.31513 q^{63} +(7.03247 - 3.81370i) q^{64} -14.2646 q^{65} +(-1.89863 + 4.02479i) q^{66} +(-1.11643 + 2.69530i) q^{67} +(0.789574 - 0.650651i) q^{68} +(-4.14422 + 1.71659i) q^{69} +(-8.78718 - 9.67558i) q^{70} +(1.26611 - 1.26611i) q^{71} +(-2.43040 - 1.44677i) q^{72} +(-7.51616 - 7.51616i) q^{73} +(0.407191 - 8.46231i) q^{74} +(-4.18515 - 10.1038i) q^{75} +(0.160722 + 0.526017i) q^{76} +(-6.73052 - 2.78787i) q^{77} +(-1.70721 - 4.75625i) q^{78} -0.709730i q^{79} +(3.17824 + 15.6486i) q^{80} +1.00000i q^{81} +(-7.43218 + 2.66772i) q^{82} +(-1.40823 - 0.583309i) q^{83} +(2.17446 - 4.08790i) q^{84} +(0.781502 + 1.88671i) q^{85} +(-4.82818 - 0.232323i) q^{86} +(5.08294 + 5.08294i) q^{87} +(5.32345 + 7.13273i) q^{88} +(-0.0856897 + 0.0856897i) q^{89} +(4.17929 - 3.79555i) q^{90} +(7.64285 - 3.16577i) q^{91} +(-0.861374 + 8.92989i) q^{92} +(-2.22754 + 5.37775i) q^{93} +(12.0409 + 5.68012i) q^{94} -1.09785 q^{95} +(-4.83735 + 2.93258i) q^{96} -0.677647 q^{97} +(-2.09787 - 0.989638i) q^{98} +(1.20420 - 2.90719i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q + O(q^{10}) \) \( 32 q - 8 q^{10} - 16 q^{12} - 32 q^{14} - 8 q^{16} - 8 q^{18} - 32 q^{20} - 8 q^{22} - 16 q^{23} - 8 q^{24} + 40 q^{26} + 40 q^{28} - 48 q^{31} + 40 q^{32} + 40 q^{34} - 48 q^{35} + 40 q^{38} + 8 q^{40} - 16 q^{43} + 8 q^{44} - 32 q^{46} + 24 q^{50} + 16 q^{51} - 8 q^{52} - 32 q^{53} + 8 q^{54} + 32 q^{55} + 56 q^{56} - 32 q^{58} + 64 q^{59} + 48 q^{60} - 32 q^{61} + 48 q^{62} + 16 q^{63} + 24 q^{64} + 48 q^{66} + 16 q^{67} - 8 q^{68} - 32 q^{69} - 24 q^{70} + 64 q^{71} - 32 q^{74} + 32 q^{75} - 56 q^{76} - 32 q^{77} + 24 q^{78} - 56 q^{80} - 40 q^{82} - 64 q^{86} - 48 q^{88} - 48 q^{91} - 80 q^{92} - 32 q^{94} - 40 q^{96} - 80 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/96\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(37\) \(65\)
\(\chi(n)\) \(1\) \(e\left(\frac{7}{8}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.603367 + 1.27904i −0.426645 + 0.904419i
\(3\) 0.382683 0.923880i 0.220942 0.533402i
\(4\) −1.27190 1.54346i −0.635948 0.771732i
\(5\) 3.68816 1.52768i 1.64939 0.683201i 0.652199 0.758048i \(-0.273847\pi\)
0.997195 + 0.0748462i \(0.0238466\pi\)
\(6\) 0.950782 + 1.04691i 0.388155 + 0.427398i
\(7\) −1.63704 + 1.63704i −0.618743 + 0.618743i −0.945209 0.326466i \(-0.894142\pi\)
0.326466 + 0.945209i \(0.394142\pi\)
\(8\) 2.74158 0.695531i 0.969293 0.245908i
\(9\) −0.707107 0.707107i −0.235702 0.235702i
\(10\) −0.271341 + 5.63906i −0.0858057 + 1.78323i
\(11\) 1.20420 + 2.90719i 0.363080 + 0.876552i 0.994846 + 0.101393i \(0.0323300\pi\)
−0.631767 + 0.775158i \(0.717670\pi\)
\(12\) −1.91271 + 0.584420i −0.552151 + 0.168708i
\(13\) −3.30127 1.36743i −0.915607 0.379257i −0.125407 0.992105i \(-0.540024\pi\)
−0.790200 + 0.612849i \(0.790024\pi\)
\(14\) −1.10611 3.08158i −0.295619 0.823587i
\(15\) 3.99203i 1.03074i
\(16\) −0.764563 + 3.92625i −0.191141 + 0.981563i
\(17\) 0.511560i 0.124071i 0.998074 + 0.0620357i \(0.0197593\pi\)
−0.998074 + 0.0620357i \(0.980241\pi\)
\(18\) 1.33106 0.477774i 0.313735 0.112612i
\(19\) −0.254077 0.105242i −0.0582894 0.0241442i 0.353348 0.935492i \(-0.385043\pi\)
−0.411638 + 0.911348i \(0.635043\pi\)
\(20\) −7.04888 3.74948i −1.57618 0.838410i
\(21\) 0.885960 + 2.13890i 0.193332 + 0.466746i
\(22\) −4.44500 0.213885i −0.947676 0.0456004i
\(23\) −3.17185 3.17185i −0.661376 0.661376i 0.294329 0.955704i \(-0.404904\pi\)
−0.955704 + 0.294329i \(0.904904\pi\)
\(24\) 0.406568 2.79905i 0.0829904 0.571354i
\(25\) 7.73315 7.73315i 1.54663 1.54663i
\(26\) 3.74088 3.39740i 0.733646 0.666284i
\(27\) −0.923880 + 0.382683i −0.177801 + 0.0736475i
\(28\) 4.60886 + 0.444569i 0.870993 + 0.0840157i
\(29\) −2.75087 + 6.64118i −0.510823 + 1.23324i 0.432582 + 0.901595i \(0.357603\pi\)
−0.943405 + 0.331642i \(0.892397\pi\)
\(30\) 5.10598 + 2.40866i 0.932220 + 0.439760i
\(31\) −5.82083 −1.04545 −0.522726 0.852501i \(-0.675085\pi\)
−0.522726 + 0.852501i \(0.675085\pi\)
\(32\) −4.56053 3.34688i −0.806195 0.591650i
\(33\) 3.14672 0.547774
\(34\) −0.654306 0.308659i −0.112213 0.0529345i
\(35\) −3.53678 + 8.53855i −0.597825 + 1.44328i
\(36\) −0.192028 + 1.99076i −0.0320047 + 0.331793i
\(37\) −5.53467 + 2.29253i −0.909894 + 0.376890i −0.788016 0.615655i \(-0.788892\pi\)
−0.121878 + 0.992545i \(0.538892\pi\)
\(38\) 0.287911 0.261476i 0.0467054 0.0424170i
\(39\) −2.52668 + 2.52668i −0.404593 + 0.404593i
\(40\) 9.04881 6.75349i 1.43074 1.06782i
\(41\) 3.94823 + 3.94823i 0.616610 + 0.616610i 0.944660 0.328050i \(-0.106392\pi\)
−0.328050 + 0.944660i \(0.606392\pi\)
\(42\) −3.27030 0.157361i −0.504618 0.0242813i
\(43\) 1.30801 + 3.15781i 0.199469 + 0.481561i 0.991686 0.128678i \(-0.0410733\pi\)
−0.792217 + 0.610239i \(0.791073\pi\)
\(44\) 2.95553 5.55628i 0.445563 0.837641i
\(45\) −3.68816 1.52768i −0.549798 0.227734i
\(46\) 5.97071 2.14313i 0.880333 0.315988i
\(47\) 9.41403i 1.37318i −0.727046 0.686589i \(-0.759107\pi\)
0.727046 0.686589i \(-0.240893\pi\)
\(48\) 3.33480 + 2.20888i 0.481336 + 0.318824i
\(49\) 1.64019i 0.234313i
\(50\) 5.22509 + 14.5570i 0.738940 + 2.05866i
\(51\) 0.472620 + 0.195765i 0.0661800 + 0.0274127i
\(52\) 2.08829 + 6.83462i 0.289594 + 0.947791i
\(53\) 2.50482 + 6.04717i 0.344063 + 0.830642i 0.997296 + 0.0734852i \(0.0234122\pi\)
−0.653233 + 0.757157i \(0.726588\pi\)
\(54\) 0.0679707 1.41258i 0.00924964 0.192228i
\(55\) 8.88255 + 8.88255i 1.19772 + 1.19772i
\(56\) −3.34946 + 5.62669i −0.447590 + 0.751898i
\(57\) −0.194462 + 0.194462i −0.0257572 + 0.0257572i
\(58\) −6.83457 7.52555i −0.897423 0.988153i
\(59\) 13.3423 5.52657i 1.73702 0.719498i 0.738023 0.674775i \(-0.235759\pi\)
0.998999 0.0447232i \(-0.0142406\pi\)
\(60\) −6.16156 + 5.07745i −0.795454 + 0.655496i
\(61\) 3.35835 8.10777i 0.429992 1.03809i −0.549297 0.835627i \(-0.685104\pi\)
0.979289 0.202466i \(-0.0648955\pi\)
\(62\) 3.51210 7.44509i 0.446037 0.945527i
\(63\) 2.31513 0.291678
\(64\) 7.03247 3.81370i 0.879059 0.476713i
\(65\) −14.2646 −1.76931
\(66\) −1.89863 + 4.02479i −0.233705 + 0.495417i
\(67\) −1.11643 + 2.69530i −0.136394 + 0.329283i −0.977288 0.211916i \(-0.932030\pi\)
0.840894 + 0.541199i \(0.182030\pi\)
\(68\) 0.789574 0.650651i 0.0957500 0.0789030i
\(69\) −4.14422 + 1.71659i −0.498905 + 0.206653i
\(70\) −8.78718 9.67558i −1.05027 1.15645i
\(71\) 1.26611 1.26611i 0.150259 0.150259i −0.627975 0.778234i \(-0.716116\pi\)
0.778234 + 0.627975i \(0.216116\pi\)
\(72\) −2.43040 1.44677i −0.286426 0.170504i
\(73\) −7.51616 7.51616i −0.879700 0.879700i 0.113804 0.993503i \(-0.463697\pi\)
−0.993503 + 0.113804i \(0.963697\pi\)
\(74\) 0.407191 8.46231i 0.0473350 0.983723i
\(75\) −4.18515 10.1038i −0.483260 1.16669i
\(76\) 0.160722 + 0.526017i 0.0184361 + 0.0603383i
\(77\) −6.73052 2.78787i −0.767014 0.317707i
\(78\) −1.70721 4.75625i −0.193304 0.538539i
\(79\) 0.709730i 0.0798509i −0.999203 0.0399254i \(-0.987288\pi\)
0.999203 0.0399254i \(-0.0127120\pi\)
\(80\) 3.17824 + 15.6486i 0.355338 + 1.74957i
\(81\) 1.00000i 0.111111i
\(82\) −7.43218 + 2.66772i −0.820747 + 0.294600i
\(83\) −1.40823 0.583309i −0.154574 0.0640265i 0.304055 0.952654i \(-0.401659\pi\)
−0.458629 + 0.888628i \(0.651659\pi\)
\(84\) 2.17446 4.08790i 0.237253 0.446027i
\(85\) 0.781502 + 1.88671i 0.0847658 + 0.204643i
\(86\) −4.82818 0.232323i −0.520636 0.0250520i
\(87\) 5.08294 + 5.08294i 0.544949 + 0.544949i
\(88\) 5.32345 + 7.13273i 0.567481 + 0.760352i
\(89\) −0.0856897 + 0.0856897i −0.00908309 + 0.00908309i −0.711634 0.702551i \(-0.752044\pi\)
0.702551 + 0.711634i \(0.252044\pi\)
\(90\) 4.17929 3.79555i 0.440536 0.400086i
\(91\) 7.64285 3.16577i 0.801188 0.331863i
\(92\) −0.861374 + 8.92989i −0.0898044 + 0.931005i
\(93\) −2.22754 + 5.37775i −0.230985 + 0.557646i
\(94\) 12.0409 + 5.68012i 1.24193 + 0.585860i
\(95\) −1.09785 −0.112638
\(96\) −4.83735 + 2.93258i −0.493710 + 0.299305i
\(97\) −0.677647 −0.0688046 −0.0344023 0.999408i \(-0.510953\pi\)
−0.0344023 + 0.999408i \(0.510953\pi\)
\(98\) −2.09787 0.989638i −0.211917 0.0999686i
\(99\) 1.20420 2.90719i 0.121027 0.292184i
\(100\) −21.7716 2.10008i −2.17716 0.210008i
\(101\) 10.0095 4.14605i 0.995978 0.412548i 0.175657 0.984451i \(-0.443795\pi\)
0.820321 + 0.571904i \(0.193795\pi\)
\(102\) −0.535556 + 0.486382i −0.0530279 + 0.0481590i
\(103\) 8.25191 8.25191i 0.813085 0.813085i −0.172010 0.985095i \(-0.555026\pi\)
0.985095 + 0.172010i \(0.0550263\pi\)
\(104\) −10.0018 1.45278i −0.980754 0.142456i
\(105\) 6.53512 + 6.53512i 0.637763 + 0.637763i
\(106\) −9.24590 0.444896i −0.898041 0.0432121i
\(107\) −0.162056 0.391238i −0.0156665 0.0378224i 0.915853 0.401514i \(-0.131516\pi\)
−0.931519 + 0.363692i \(0.881516\pi\)
\(108\) 1.76574 + 0.939242i 0.169908 + 0.0903786i
\(109\) 5.41943 + 2.24480i 0.519087 + 0.215013i 0.626816 0.779167i \(-0.284358\pi\)
−0.107729 + 0.994180i \(0.534358\pi\)
\(110\) −16.7206 + 6.00171i −1.59425 + 0.572241i
\(111\) 5.99068i 0.568610i
\(112\) −5.17581 7.67906i −0.489068 0.725603i
\(113\) 3.60406i 0.339041i 0.985527 + 0.169521i \(0.0542219\pi\)
−0.985527 + 0.169521i \(0.945778\pi\)
\(114\) −0.131393 0.366058i −0.0123061 0.0342845i
\(115\) −16.5438 6.85269i −1.54272 0.639016i
\(116\) 13.7492 4.20103i 1.27659 0.390055i
\(117\) 1.36743 + 3.30127i 0.126419 + 0.305202i
\(118\) −0.981608 + 20.3999i −0.0903643 + 1.87797i
\(119\) −0.837445 0.837445i −0.0767684 0.0767684i
\(120\) −2.77658 10.9445i −0.253466 0.999088i
\(121\) 0.776498 0.776498i 0.0705908 0.0705908i
\(122\) 8.34385 + 9.18743i 0.755417 + 0.831791i
\(123\) 5.15861 2.13677i 0.465136 0.192666i
\(124\) 7.40349 + 8.98425i 0.664853 + 0.806809i
\(125\) 9.06884 21.8941i 0.811142 1.95827i
\(126\) −1.39687 + 2.96114i −0.124443 + 0.263800i
\(127\) −0.146652 −0.0130133 −0.00650663 0.999979i \(-0.502071\pi\)
−0.00650663 + 0.999979i \(0.502071\pi\)
\(128\) 0.634722 + 11.2959i 0.0561021 + 0.998425i
\(129\) 3.41799 0.300937
\(130\) 8.60679 18.2450i 0.754866 1.60019i
\(131\) 1.16280 2.80726i 0.101595 0.245271i −0.864907 0.501933i \(-0.832623\pi\)
0.966501 + 0.256661i \(0.0826225\pi\)
\(132\) −4.00230 4.85685i −0.348356 0.422735i
\(133\) 0.588221 0.243649i 0.0510053 0.0211271i
\(134\) −2.77378 3.05421i −0.239618 0.263844i
\(135\) −2.82279 + 2.82279i −0.242947 + 0.242947i
\(136\) 0.355806 + 1.40248i 0.0305101 + 0.120262i
\(137\) −11.6890 11.6890i −0.998662 0.998662i 0.00133685 0.999999i \(-0.499574\pi\)
−0.999999 + 0.00133685i \(0.999574\pi\)
\(138\) 0.304894 6.33636i 0.0259543 0.539387i
\(139\) 7.96071 + 19.2188i 0.675218 + 1.63012i 0.772615 + 0.634875i \(0.218949\pi\)
−0.0973963 + 0.995246i \(0.531051\pi\)
\(140\) 17.6774 5.40124i 1.49401 0.456489i
\(141\) −8.69743 3.60259i −0.732456 0.303393i
\(142\) 0.855476 + 2.38333i 0.0717900 + 0.200005i
\(143\) 11.2441i 0.940277i
\(144\) 3.31691 2.23565i 0.276409 0.186304i
\(145\) 28.6962i 2.38309i
\(146\) 14.1485 5.07847i 1.17094 0.420297i
\(147\) 1.51534 + 0.627674i 0.124983 + 0.0517697i
\(148\) 10.5780 + 5.62670i 0.869503 + 0.462512i
\(149\) −0.110593 0.266995i −0.00906011 0.0218730i 0.919285 0.393593i \(-0.128768\pi\)
−0.928345 + 0.371720i \(0.878768\pi\)
\(150\) 15.4484 + 0.743350i 1.26136 + 0.0606943i
\(151\) −4.70680 4.70680i −0.383034 0.383034i 0.489160 0.872194i \(-0.337303\pi\)
−0.872194 + 0.489160i \(0.837303\pi\)
\(152\) −0.769772 0.111811i −0.0624367 0.00906906i
\(153\) 0.361727 0.361727i 0.0292439 0.0292439i
\(154\) 7.62678 6.92650i 0.614583 0.558153i
\(155\) −21.4681 + 8.89240i −1.72436 + 0.714255i
\(156\) 7.11352 + 0.686167i 0.569537 + 0.0549374i
\(157\) −7.43264 + 17.9440i −0.593189 + 1.43208i 0.287218 + 0.957865i \(0.407270\pi\)
−0.880407 + 0.474220i \(0.842730\pi\)
\(158\) 0.907774 + 0.428228i 0.0722186 + 0.0340680i
\(159\) 6.54540 0.519084
\(160\) −21.9329 5.37678i −1.73395 0.425071i
\(161\) 10.3849 0.818444
\(162\) −1.27904 0.603367i −0.100491 0.0474050i
\(163\) 5.94686 14.3570i 0.465794 1.12453i −0.500188 0.865917i \(-0.666736\pi\)
0.965982 0.258609i \(-0.0832641\pi\)
\(164\) 1.07222 11.1157i 0.0837260 0.867989i
\(165\) 11.6056 4.80720i 0.903496 0.374240i
\(166\) 1.59576 1.44924i 0.123855 0.112483i
\(167\) −10.7086 + 10.7086i −0.828655 + 0.828655i −0.987331 0.158676i \(-0.949277\pi\)
0.158676 + 0.987331i \(0.449277\pi\)
\(168\) 3.91660 + 5.24774i 0.302172 + 0.404872i
\(169\) −0.163883 0.163883i −0.0126064 0.0126064i
\(170\) −2.88472 0.138807i −0.221248 0.0106460i
\(171\) 0.105242 + 0.254077i 0.00804808 + 0.0194298i
\(172\) 3.21032 6.03526i 0.244784 0.460185i
\(173\) 2.46513 + 1.02109i 0.187420 + 0.0776320i 0.474420 0.880299i \(-0.342658\pi\)
−0.287000 + 0.957931i \(0.592658\pi\)
\(174\) −9.56818 + 3.43441i −0.725362 + 0.260362i
\(175\) 25.3190i 1.91393i
\(176\) −12.3351 + 2.50525i −0.929790 + 0.188840i
\(177\) 14.4416i 1.08550i
\(178\) −0.0578983 0.161303i −0.00433966 0.0120902i
\(179\) 9.77295 + 4.04809i 0.730465 + 0.302568i 0.716743 0.697337i \(-0.245632\pi\)
0.0137219 + 0.999906i \(0.495632\pi\)
\(180\) 2.33302 + 7.63559i 0.173893 + 0.569124i
\(181\) −7.36413 17.7786i −0.547371 1.32147i −0.919427 0.393261i \(-0.871347\pi\)
0.372056 0.928210i \(-0.378653\pi\)
\(182\) −0.562292 + 11.6856i −0.0416799 + 0.866198i
\(183\) −6.20542 6.20542i −0.458718 0.458718i
\(184\) −10.9020 6.48974i −0.803704 0.478430i
\(185\) −16.9105 + 16.9105i −1.24328 + 1.24328i
\(186\) −5.53434 6.09387i −0.405798 0.446824i
\(187\) −1.48720 + 0.616020i −0.108755 + 0.0450478i
\(188\) −14.5302 + 11.9737i −1.05973 + 0.873269i
\(189\) 0.885960 2.13890i 0.0644441 0.155582i
\(190\) 0.662410 1.40420i 0.0480563 0.101872i
\(191\) 10.1764 0.736335 0.368168 0.929759i \(-0.379985\pi\)
0.368168 + 0.929759i \(0.379985\pi\)
\(192\) −0.832193 7.95660i −0.0600583 0.574218i
\(193\) −7.17480 −0.516454 −0.258227 0.966084i \(-0.583138\pi\)
−0.258227 + 0.966084i \(0.583138\pi\)
\(194\) 0.408870 0.866739i 0.0293552 0.0622282i
\(195\) −5.45883 + 13.1788i −0.390915 + 0.943751i
\(196\) 2.53158 2.08615i 0.180827 0.149011i
\(197\) 9.81153 4.06407i 0.699042 0.289553i −0.00471943 0.999989i \(-0.501502\pi\)
0.703762 + 0.710436i \(0.251502\pi\)
\(198\) 2.99185 + 3.29433i 0.212621 + 0.234118i
\(199\) −7.92887 + 7.92887i −0.562063 + 0.562063i −0.929893 0.367830i \(-0.880101\pi\)
0.367830 + 0.929893i \(0.380101\pi\)
\(200\) 15.8224 26.5797i 1.11881 1.87947i
\(201\) 2.06289 + 2.06289i 0.145505 + 0.145505i
\(202\) −0.736405 + 15.3041i −0.0518133 + 1.07679i
\(203\) −6.36861 15.3752i −0.446989 1.07913i
\(204\) −0.298966 0.978465i −0.0209318 0.0685062i
\(205\) 20.5933 + 8.53004i 1.43830 + 0.595764i
\(206\) 5.57560 + 15.5335i 0.388471 + 1.08227i
\(207\) 4.48567i 0.311775i
\(208\) 7.89290 11.9161i 0.547274 0.826234i
\(209\) 0.865385i 0.0598599i
\(210\) −12.3018 + 4.41561i −0.848903 + 0.304706i
\(211\) −23.9700 9.92869i −1.65016 0.683519i −0.652898 0.757446i \(-0.726447\pi\)
−0.997264 + 0.0739270i \(0.976447\pi\)
\(212\) 6.14772 11.5575i 0.422227 0.793770i
\(213\) −0.685213 1.65425i −0.0469500 0.113347i
\(214\) 0.598189 + 0.0287837i 0.0408913 + 0.00196762i
\(215\) 9.64827 + 9.64827i 0.658007 + 0.658007i
\(216\) −2.26672 + 1.69174i −0.154231 + 0.115109i
\(217\) 9.52894 9.52894i 0.646867 0.646867i
\(218\) −6.14110 + 5.57724i −0.415928 + 0.377738i
\(219\) −9.82033 + 4.06771i −0.663597 + 0.274871i
\(220\) 2.41222 25.0076i 0.162632 1.68601i
\(221\) 0.699522 1.68880i 0.0470550 0.113601i
\(222\) −7.66233 3.61458i −0.514262 0.242595i
\(223\) −0.573216 −0.0383854 −0.0191927 0.999816i \(-0.506110\pi\)
−0.0191927 + 0.999816i \(0.506110\pi\)
\(224\) 12.9447 1.98679i 0.864907 0.132748i
\(225\) −10.9363 −0.729089
\(226\) −4.60974 2.17457i −0.306635 0.144650i
\(227\) −1.44349 + 3.48488i −0.0958075 + 0.231300i −0.964516 0.264023i \(-0.914950\pi\)
0.868709 + 0.495323i \(0.164950\pi\)
\(228\) 0.547482 + 0.0528099i 0.0362579 + 0.00349742i
\(229\) −7.10429 + 2.94269i −0.469465 + 0.194459i −0.604858 0.796333i \(-0.706770\pi\)
0.135393 + 0.990792i \(0.456770\pi\)
\(230\) 18.7469 17.0256i 1.23613 1.12263i
\(231\) −5.15132 + 5.15132i −0.338932 + 0.338932i
\(232\) −2.92256 + 20.1206i −0.191876 + 1.32098i
\(233\) 1.38129 + 1.38129i 0.0904912 + 0.0904912i 0.750903 0.660412i \(-0.229618\pi\)
−0.660412 + 0.750903i \(0.729618\pi\)
\(234\) −5.04752 0.242878i −0.329967 0.0158774i
\(235\) −14.3817 34.7204i −0.938157 2.26491i
\(236\) −25.5001 13.5642i −1.65992 0.882953i
\(237\) −0.655705 0.271602i −0.0425926 0.0176424i
\(238\) 1.57641 0.565840i 0.102184 0.0366779i
\(239\) 4.58455i 0.296550i 0.988946 + 0.148275i \(0.0473721\pi\)
−0.988946 + 0.148275i \(0.952628\pi\)
\(240\) 15.6737 + 3.05216i 1.01173 + 0.197016i
\(241\) 15.9551i 1.02776i −0.857862 0.513880i \(-0.828208\pi\)
0.857862 0.513880i \(-0.171792\pi\)
\(242\) 0.524660 + 1.46169i 0.0337264 + 0.0939608i
\(243\) 0.923880 + 0.382683i 0.0592669 + 0.0245492i
\(244\) −16.7855 + 5.12874i −1.07458 + 0.328334i
\(245\) 2.50570 + 6.04929i 0.160083 + 0.386475i
\(246\) −0.379524 + 7.88733i −0.0241976 + 0.502878i
\(247\) 0.694866 + 0.694866i 0.0442133 + 0.0442133i
\(248\) −15.9583 + 4.04857i −1.01335 + 0.257085i
\(249\) −1.07781 + 1.07781i −0.0683037 + 0.0683037i
\(250\) 22.5316 + 24.8096i 1.42503 + 1.56910i
\(251\) −20.0790 + 8.31700i −1.26738 + 0.524964i −0.912166 0.409822i \(-0.865591\pi\)
−0.355211 + 0.934786i \(0.615591\pi\)
\(252\) −2.94460 3.57331i −0.185492 0.225098i
\(253\) 5.40164 13.0407i 0.339598 0.819862i
\(254\) 0.0884851 0.187574i 0.00555205 0.0117694i
\(255\) 2.04216 0.127885
\(256\) −14.8309 6.00374i −0.926930 0.375233i
\(257\) 0.677979 0.0422912 0.0211456 0.999776i \(-0.493269\pi\)
0.0211456 + 0.999776i \(0.493269\pi\)
\(258\) −2.06230 + 4.37175i −0.128393 + 0.272173i
\(259\) 5.30750 12.8134i 0.329792 0.796189i
\(260\) 18.1431 + 22.0169i 1.12519 + 1.36543i
\(261\) 6.64118 2.75087i 0.411079 0.170274i
\(262\) 2.88900 + 3.18108i 0.178483 + 0.196528i
\(263\) 7.67357 7.67357i 0.473173 0.473173i −0.429767 0.902940i \(-0.641404\pi\)
0.902940 + 0.429767i \(0.141404\pi\)
\(264\) 8.62698 2.18864i 0.530954 0.134702i
\(265\) 18.4763 + 18.4763i 1.13499 + 1.13499i
\(266\) −0.0432760 + 0.899370i −0.00265342 + 0.0551439i
\(267\) 0.0463749 + 0.111959i 0.00283810 + 0.00685178i
\(268\) 5.58008 1.70497i 0.340857 0.104148i
\(269\) 22.0482 + 9.13266i 1.34430 + 0.556828i 0.934701 0.355436i \(-0.115668\pi\)
0.409602 + 0.912264i \(0.365668\pi\)
\(270\) −1.90729 5.31365i −0.116074 0.323379i
\(271\) 0.778886i 0.0473140i −0.999720 0.0236570i \(-0.992469\pi\)
0.999720 0.0236570i \(-0.00753096\pi\)
\(272\) −2.00851 0.391120i −0.121784 0.0237151i
\(273\) 8.27256i 0.500678i
\(274\) 22.0036 7.89799i 1.32928 0.477135i
\(275\) 31.7940 + 13.1695i 1.91725 + 0.794151i
\(276\) 7.92051 + 4.21313i 0.476758 + 0.253600i
\(277\) 1.47054 + 3.55020i 0.0883564 + 0.213311i 0.961881 0.273469i \(-0.0881712\pi\)
−0.873524 + 0.486780i \(0.838171\pi\)
\(278\) −29.3849 1.41395i −1.76239 0.0848030i
\(279\) 4.11595 + 4.11595i 0.246415 + 0.246415i
\(280\) −3.75753 + 25.8690i −0.224555 + 1.54597i
\(281\) −3.60771 + 3.60771i −0.215218 + 0.215218i −0.806480 0.591262i \(-0.798630\pi\)
0.591262 + 0.806480i \(0.298630\pi\)
\(282\) 9.85562 8.95069i 0.586893 0.533006i
\(283\) 12.3134 5.10036i 0.731953 0.303185i 0.0145986 0.999893i \(-0.495353\pi\)
0.717354 + 0.696709i \(0.245353\pi\)
\(284\) −3.56455 0.343835i −0.211517 0.0204029i
\(285\) −0.420131 + 1.01429i −0.0248864 + 0.0600811i
\(286\) 14.3816 + 6.78431i 0.850405 + 0.401165i
\(287\) −12.9268 −0.763047
\(288\) 0.858177 + 5.59138i 0.0505686 + 0.329475i
\(289\) 16.7383 0.984606
\(290\) −36.7036 17.3143i −2.15531 1.01673i
\(291\) −0.259324 + 0.626064i −0.0152019 + 0.0367005i
\(292\) −2.04115 + 21.1607i −0.119449 + 1.23834i
\(293\) −21.1509 + 8.76099i −1.23565 + 0.511822i −0.902352 0.431000i \(-0.858161\pi\)
−0.333297 + 0.942822i \(0.608161\pi\)
\(294\) −1.71713 + 1.55946i −0.100145 + 0.0909498i
\(295\) 40.7657 40.7657i 2.37347 2.37347i
\(296\) −13.5792 + 10.1347i −0.789274 + 0.589067i
\(297\) −2.22507 2.22507i −0.129112 0.129112i
\(298\) 0.408225 + 0.0196430i 0.0236479 + 0.00113789i
\(299\) 6.13384 + 14.8084i 0.354729 + 0.856391i
\(300\) −10.2719 + 19.3107i −0.593046 + 1.11490i
\(301\) −7.31072 3.02820i −0.421383 0.174543i
\(302\) 8.86013 3.18027i 0.509843 0.183004i
\(303\) 10.8342i 0.622406i
\(304\) 0.607466 0.917107i 0.0348406 0.0525997i
\(305\) 35.0332i 2.00600i
\(306\) 0.244410 + 0.680919i 0.0139720 + 0.0389256i
\(307\) 29.7333 + 12.3159i 1.69697 + 0.702908i 0.999901 0.0140946i \(-0.00448661\pi\)
0.697070 + 0.717003i \(0.254487\pi\)
\(308\) 4.25754 + 13.9342i 0.242596 + 0.793974i
\(309\) −4.46590 10.7816i −0.254056 0.613346i
\(310\) 1.57943 32.8240i 0.0897057 1.86428i
\(311\) −5.08789 5.08789i −0.288508 0.288508i 0.547982 0.836490i \(-0.315396\pi\)
−0.836490 + 0.547982i \(0.815396\pi\)
\(312\) −5.16970 + 8.68447i −0.292677 + 0.491661i
\(313\) −10.3695 + 10.3695i −0.586117 + 0.586117i −0.936578 0.350460i \(-0.886025\pi\)
0.350460 + 0.936578i \(0.386025\pi\)
\(314\) −18.4665 20.3335i −1.04212 1.14748i
\(315\) 8.53855 3.53678i 0.481093 0.199275i
\(316\) −1.09544 + 0.902702i −0.0616235 + 0.0507810i
\(317\) −6.18851 + 14.9404i −0.347582 + 0.839136i 0.649323 + 0.760513i \(0.275052\pi\)
−0.996904 + 0.0786232i \(0.974948\pi\)
\(318\) −3.94928 + 8.37185i −0.221465 + 0.469470i
\(319\) −22.6198 −1.26647
\(320\) 20.1107 24.8089i 1.12422 1.38686i
\(321\) −0.423473 −0.0236359
\(322\) −6.26590 + 13.2827i −0.349185 + 0.740216i
\(323\) 0.0538378 0.129976i 0.00299561 0.00723205i
\(324\) 1.54346 1.27190i 0.0857480 0.0706609i
\(325\) −36.1037 + 14.9547i −2.00268 + 0.829535i
\(326\) 14.7750 + 16.2688i 0.818314 + 0.901046i
\(327\) 4.14785 4.14785i 0.229377 0.229377i
\(328\) 13.5705 + 8.07825i 0.749305 + 0.446047i
\(329\) 15.4112 + 15.4112i 0.849645 + 0.849645i
\(330\) −0.853836 + 17.7446i −0.0470021 + 0.976806i
\(331\) 12.0185 + 29.0153i 0.660599 + 1.59483i 0.796867 + 0.604155i \(0.206489\pi\)
−0.136268 + 0.990672i \(0.543511\pi\)
\(332\) 0.890808 + 2.91547i 0.0488895 + 0.160007i
\(333\) 5.53467 + 2.29253i 0.303298 + 0.125630i
\(334\) −7.23551 20.1579i −0.395910 1.10299i
\(335\) 11.6462i 0.636302i
\(336\) −9.07522 + 1.84318i −0.495094 + 0.100554i
\(337\) 2.12023i 0.115496i 0.998331 + 0.0577480i \(0.0183920\pi\)
−0.998331 + 0.0577480i \(0.981608\pi\)
\(338\) 0.308494 0.110731i 0.0167799 0.00602299i
\(339\) 3.32971 + 1.37921i 0.180845 + 0.0749085i
\(340\) 1.91809 3.60592i 0.104023 0.195559i
\(341\) −7.00944 16.9223i −0.379582 0.916393i
\(342\) −0.388475 0.0186927i −0.0210063 0.00101079i
\(343\) −14.1444 14.1444i −0.763723 0.763723i
\(344\) 5.78235 + 7.74761i 0.311764 + 0.417723i
\(345\) −12.6621 + 12.6621i −0.681705 + 0.681705i
\(346\) −2.79340 + 2.53691i −0.150174 + 0.136385i
\(347\) 15.6587 6.48607i 0.840606 0.348190i 0.0795133 0.996834i \(-0.474663\pi\)
0.761092 + 0.648644i \(0.224663\pi\)
\(348\) 1.38037 14.3103i 0.0739955 0.767113i
\(349\) −2.54342 + 6.14035i −0.136146 + 0.328685i −0.977218 0.212238i \(-0.931925\pi\)
0.841072 + 0.540923i \(0.181925\pi\)
\(350\) −32.3840 15.2766i −1.73100 0.816571i
\(351\) 3.57327 0.190727
\(352\) 4.23825 17.2886i 0.225899 0.921487i
\(353\) 26.7822 1.42547 0.712737 0.701431i \(-0.247455\pi\)
0.712737 + 0.701431i \(0.247455\pi\)
\(354\) 18.4714 + 8.71361i 0.981746 + 0.463123i
\(355\) 2.73539 6.60382i 0.145179 0.350494i
\(356\) 0.241247 + 0.0232706i 0.0127861 + 0.00123334i
\(357\) −1.09417 + 0.453222i −0.0579098 + 0.0239870i
\(358\) −11.0744 + 10.0575i −0.585298 + 0.531557i
\(359\) −21.9626 + 21.9626i −1.15914 + 1.15914i −0.174480 + 0.984661i \(0.555824\pi\)
−0.984661 + 0.174480i \(0.944176\pi\)
\(360\) −11.1739 1.62303i −0.588917 0.0855414i
\(361\) −13.3815 13.3815i −0.704292 0.704292i
\(362\) 27.1828 + 1.30799i 1.42870 + 0.0687463i
\(363\) −0.420238 1.01454i −0.0220568 0.0532498i
\(364\) −14.6072 7.76993i −0.765623 0.407255i
\(365\) −39.2031 16.2385i −2.05198 0.849959i
\(366\) 11.6811 4.19284i 0.610583 0.219163i
\(367\) 20.1290i 1.05073i −0.850878 0.525363i \(-0.823929\pi\)
0.850878 0.525363i \(-0.176071\pi\)
\(368\) 14.8785 10.0284i 0.775597 0.522766i
\(369\) 5.58364i 0.290673i
\(370\) −11.4260 31.8324i −0.594007 1.65489i
\(371\) −13.9999 5.79897i −0.726841 0.301067i
\(372\) 11.1336 3.40181i 0.577248 0.176376i
\(373\) 0.278651 + 0.672724i 0.0144280 + 0.0348323i 0.930929 0.365199i \(-0.118999\pi\)
−0.916501 + 0.400032i \(0.868999\pi\)
\(374\) 0.109415 2.27388i 0.00565771 0.117580i
\(375\) −16.7570 16.7570i −0.865329 0.865329i
\(376\) −6.54776 25.8093i −0.337675 1.33101i
\(377\) 18.1627 18.1627i 0.935427 0.935427i
\(378\) 2.20118 + 2.42372i 0.113216 + 0.124663i
\(379\) −33.2934 + 13.7906i −1.71017 + 0.708375i −0.710177 + 0.704023i \(0.751385\pi\)
−0.999991 + 0.00435195i \(0.998615\pi\)
\(380\) 1.39636 + 1.69450i 0.0716316 + 0.0869260i
\(381\) −0.0561213 + 0.135489i −0.00287518 + 0.00694130i
\(382\) −6.14008 + 13.0160i −0.314154 + 0.665955i
\(383\) 30.6643 1.56687 0.783435 0.621473i \(-0.213466\pi\)
0.783435 + 0.621473i \(0.213466\pi\)
\(384\) 10.6789 + 3.73634i 0.544957 + 0.190669i
\(385\) −29.0822 −1.48217
\(386\) 4.32904 9.17687i 0.220342 0.467091i
\(387\) 1.30801 3.15781i 0.0664897 0.160520i
\(388\) 0.861896 + 1.04592i 0.0437561 + 0.0530987i
\(389\) −9.95840 + 4.12490i −0.504911 + 0.209141i −0.620575 0.784147i \(-0.713101\pi\)
0.115664 + 0.993288i \(0.463101\pi\)
\(390\) −13.5625 14.9337i −0.686765 0.756198i
\(391\) 1.62259 1.62259i 0.0820579 0.0820579i
\(392\) 1.14081 + 4.49671i 0.0576194 + 0.227118i
\(393\) −2.14858 2.14858i −0.108382 0.108382i
\(394\) −0.721844 + 15.0015i −0.0363660 + 0.755764i
\(395\) −1.08424 2.61760i −0.0545542 0.131706i
\(396\) −6.01876 + 1.83901i −0.302454 + 0.0924136i
\(397\) 33.1225 + 13.7198i 1.66237 + 0.688577i 0.998255 0.0590504i \(-0.0188073\pi\)
0.664118 + 0.747628i \(0.268807\pi\)
\(398\) −5.35733 14.9254i −0.268539 0.748142i
\(399\) 0.636686i 0.0318742i
\(400\) 24.4498 + 36.2748i 1.22249 + 1.81374i
\(401\) 1.21160i 0.0605046i −0.999542 0.0302523i \(-0.990369\pi\)
0.999542 0.0302523i \(-0.00963107\pi\)
\(402\) −3.88321 + 1.39384i −0.193677 + 0.0695186i
\(403\) 19.2161 + 7.95958i 0.957224 + 0.396495i
\(404\) −19.1303 10.1759i −0.951766 0.506269i
\(405\) 1.52768 + 3.68816i 0.0759113 + 0.183266i
\(406\) 23.5081 + 1.13117i 1.16669 + 0.0561389i
\(407\) −13.3297 13.3297i −0.660728 0.660728i
\(408\) 1.43188 + 0.207984i 0.0708888 + 0.0102967i
\(409\) −20.0380 + 20.0380i −0.990817 + 0.990817i −0.999958 0.00914144i \(-0.997090\pi\)
0.00914144 + 0.999958i \(0.497090\pi\)
\(410\) −23.3356 + 21.1930i −1.15246 + 1.04665i
\(411\) −15.2725 + 6.32606i −0.753335 + 0.312042i
\(412\) −23.2321 2.24096i −1.14456 0.110404i
\(413\) −12.7947 + 30.8892i −0.629587 + 1.51996i
\(414\) −5.73736 2.70651i −0.281976 0.133017i
\(415\) −6.08490 −0.298696
\(416\) 10.4789 + 17.2851i 0.513770 + 0.847474i
\(417\) 20.8023 1.01869
\(418\) 1.10686 + 0.522145i 0.0541385 + 0.0255390i
\(419\) 1.34843 3.25539i 0.0658749 0.159036i −0.887514 0.460781i \(-0.847569\pi\)
0.953389 + 0.301745i \(0.0975692\pi\)
\(420\) 1.77473 18.3987i 0.0865982 0.897766i
\(421\) 10.4207 4.31639i 0.507873 0.210368i −0.114008 0.993480i \(-0.536369\pi\)
0.621881 + 0.783112i \(0.286369\pi\)
\(422\) 27.1619 24.6680i 1.32222 1.20082i
\(423\) −6.65673 + 6.65673i −0.323661 + 0.323661i
\(424\) 11.0731 + 14.8366i 0.537759 + 0.720528i
\(425\) 3.95597 + 3.95597i 0.191893 + 0.191893i
\(426\) 2.52929 + 0.121705i 0.122544 + 0.00589661i
\(427\) 7.77500 + 18.7705i 0.376258 + 0.908368i
\(428\) −0.397743 + 0.747741i −0.0192256 + 0.0361434i
\(429\) −10.3882 4.30292i −0.501546 0.207747i
\(430\) −18.1620 + 6.51909i −0.875849 + 0.314378i
\(431\) 35.6433i 1.71688i 0.512914 + 0.858440i \(0.328566\pi\)
−0.512914 + 0.858440i \(0.671434\pi\)
\(432\) −0.796146 3.91997i −0.0383046 0.188600i
\(433\) 9.75449i 0.468771i 0.972144 + 0.234385i \(0.0753078\pi\)
−0.972144 + 0.234385i \(0.924692\pi\)
\(434\) 6.43846 + 17.9374i 0.309056 + 0.861021i
\(435\) 26.5118 + 10.9816i 1.27114 + 0.526525i
\(436\) −3.42818 11.2198i −0.164180 0.537333i
\(437\) 0.472082 + 1.13971i 0.0225828 + 0.0545196i
\(438\) 0.722491 15.0149i 0.0345220 0.717442i
\(439\) −11.2645 11.2645i −0.537625 0.537625i 0.385206 0.922831i \(-0.374130\pi\)
−0.922831 + 0.385206i \(0.874130\pi\)
\(440\) 30.5303 + 18.1741i 1.45547 + 0.866416i
\(441\) 1.15979 1.15979i 0.0552281 0.0552281i
\(442\) 1.73797 + 1.91368i 0.0826669 + 0.0910246i
\(443\) 22.1985 9.19492i 1.05468 0.436864i 0.213122 0.977026i \(-0.431637\pi\)
0.841561 + 0.540162i \(0.181637\pi\)
\(444\) 9.24640 7.61952i 0.438815 0.361606i
\(445\) −0.185130 + 0.446944i −0.00877601 + 0.0211872i
\(446\) 0.345860 0.733168i 0.0163769 0.0347165i
\(447\) −0.288993 −0.0136689
\(448\) −5.26926 + 17.7556i −0.248949 + 0.838875i
\(449\) −12.5831 −0.593834 −0.296917 0.954903i \(-0.595958\pi\)
−0.296917 + 0.954903i \(0.595958\pi\)
\(450\) 6.59862 13.9880i 0.311062 0.659402i
\(451\) −6.72381 + 16.2327i −0.316612 + 0.764369i
\(452\) 5.56273 4.58398i 0.261649 0.215612i
\(453\) −6.14974 + 2.54730i −0.288940 + 0.119683i
\(454\) −3.58636 3.94894i −0.168316 0.185333i
\(455\) 23.3517 23.3517i 1.09475 1.09475i
\(456\) −0.397879 + 0.668388i −0.0186324 + 0.0313002i
\(457\) −28.8488 28.8488i −1.34949 1.34949i −0.886216 0.463273i \(-0.846675\pi\)
−0.463273 0.886216i \(-0.653325\pi\)
\(458\) 0.522670 10.8622i 0.0244227 0.507558i
\(459\) −0.195765 0.472620i −0.00913755 0.0220600i
\(460\) 10.4652 + 34.2507i 0.487941 + 1.59695i
\(461\) 11.8188 + 4.89549i 0.550454 + 0.228006i 0.640535 0.767929i \(-0.278713\pi\)
−0.0900809 + 0.995934i \(0.528713\pi\)
\(462\) −3.48061 9.69688i −0.161933 0.451140i
\(463\) 18.0311i 0.837976i 0.907992 + 0.418988i \(0.137615\pi\)
−0.907992 + 0.418988i \(0.862385\pi\)
\(464\) −23.9717 15.8782i −1.11286 0.737127i
\(465\) 23.2370i 1.07759i
\(466\) −2.60015 + 0.933301i −0.120450 + 0.0432343i
\(467\) −22.2527 9.21739i −1.02973 0.426530i −0.197118 0.980380i \(-0.563158\pi\)
−0.832616 + 0.553850i \(0.813158\pi\)
\(468\) 3.35616 6.30945i 0.155139 0.291654i
\(469\) −2.58467 6.23995i −0.119349 0.288134i
\(470\) 53.0863 + 2.55442i 2.44869 + 0.117826i
\(471\) 13.7337 + 13.7337i 0.632817 + 0.632817i
\(472\) 32.7351 24.4315i 1.50675 1.12455i
\(473\) −7.60526 + 7.60526i −0.349690 + 0.349690i
\(474\) 0.743021 0.674798i 0.0341281 0.0309945i
\(475\) −2.77867 + 1.15096i −0.127494 + 0.0528099i
\(476\) −0.227424 + 2.35771i −0.0104239 + 0.108065i
\(477\) 2.50482 6.04717i 0.114688 0.276881i
\(478\) −5.86383 2.76617i −0.268206 0.126522i
\(479\) 11.2525 0.514141 0.257070 0.966393i \(-0.417243\pi\)
0.257070 + 0.966393i \(0.417243\pi\)
\(480\) −13.3609 + 18.2058i −0.609837 + 0.830976i
\(481\) 21.4063 0.976043
\(482\) 20.4073 + 9.62681i 0.929526 + 0.438489i
\(483\) 3.97412 9.59438i 0.180829 0.436560i
\(484\) −2.18612 0.210873i −0.0993692 0.00958512i
\(485\) −2.49927 + 1.03523i −0.113486 + 0.0470074i
\(486\) −1.04691 + 0.950782i −0.0474887 + 0.0431283i
\(487\) −23.1247 + 23.1247i −1.04788 + 1.04788i −0.0490867 + 0.998795i \(0.515631\pi\)
−0.998795 + 0.0490867i \(0.984369\pi\)
\(488\) 3.56795 24.5639i 0.161514 1.11195i
\(489\) −10.9884 10.9884i −0.496911 0.496911i
\(490\) −9.24915 0.445052i −0.417834 0.0201054i
\(491\) −9.92916 23.9711i −0.448097 1.08180i −0.973034 0.230661i \(-0.925911\pi\)
0.524937 0.851141i \(-0.324089\pi\)
\(492\) −9.85924 5.24439i −0.444489 0.236435i
\(493\) −3.39736 1.40723i −0.153010 0.0633786i
\(494\) −1.30802 + 0.469503i −0.0588507 + 0.0211240i
\(495\) 12.5618i 0.564612i
\(496\) 4.45040 22.8540i 0.199829 1.02618i
\(497\) 4.14534i 0.185944i
\(498\) −0.728252 2.02889i −0.0326337 0.0909167i
\(499\) −0.662766 0.274527i −0.0296695 0.0122895i 0.367799 0.929905i \(-0.380111\pi\)
−0.397469 + 0.917616i \(0.630111\pi\)
\(500\) −45.3274 + 13.8496i −2.02710 + 0.619373i
\(501\) 5.79544 + 13.9914i 0.258921 + 0.625091i
\(502\) 1.47723 30.7001i 0.0659321 1.37021i
\(503\) −5.46400 5.46400i −0.243628 0.243628i 0.574721 0.818349i \(-0.305110\pi\)
−0.818349 + 0.574721i \(0.805110\pi\)
\(504\) 6.34709 1.61024i 0.282722 0.0717259i
\(505\) 30.5826 30.5826i 1.36091 1.36091i
\(506\) 13.4204 + 14.7773i 0.596611 + 0.656929i
\(507\) −0.214123 + 0.0886927i −0.00950954 + 0.00393898i
\(508\) 0.186526 + 0.226352i 0.00827576 + 0.0100428i
\(509\) −3.15891 + 7.62628i −0.140016 + 0.338029i −0.978296 0.207211i \(-0.933561\pi\)
0.838280 + 0.545240i \(0.183561\pi\)
\(510\) −1.23218 + 2.61201i −0.0545616 + 0.115662i
\(511\) 24.6085 1.08862
\(512\) 16.6275 15.3469i 0.734839 0.678242i
\(513\) 0.275011 0.0121421
\(514\) −0.409070 + 0.867163i −0.0180433 + 0.0382489i
\(515\) 17.8280 43.0407i 0.785597 1.89660i
\(516\) −4.34732 5.27554i −0.191380 0.232243i
\(517\) 27.3684 11.3364i 1.20366 0.498573i
\(518\) 13.1866 + 14.5197i 0.579384 + 0.637961i
\(519\) 1.88673 1.88673i 0.0828182 0.0828182i
\(520\) −39.1075 + 9.92148i −1.71498 + 0.435086i
\(521\) 17.3737 + 17.3737i 0.761157 + 0.761157i 0.976531 0.215375i \(-0.0690973\pi\)
−0.215375 + 0.976531i \(0.569097\pi\)
\(522\) −0.488598 + 10.1541i −0.0213854 + 0.444434i
\(523\) 6.26194 + 15.1177i 0.273816 + 0.661049i 0.999640 0.0268308i \(-0.00854153\pi\)
−0.725824 + 0.687880i \(0.758542\pi\)
\(524\) −5.81187 + 1.77579i −0.253893 + 0.0775758i
\(525\) 23.3917 + 9.68915i 1.02090 + 0.422869i
\(526\) 5.18484 + 14.4448i 0.226070 + 0.629823i
\(527\) 2.97770i 0.129711i
\(528\) −2.40587 + 12.3548i −0.104702 + 0.537675i
\(529\) 2.87879i 0.125165i
\(530\) −34.7800 + 12.4840i −1.51075 + 0.542269i
\(531\) −13.3423 5.52657i −0.579008 0.239833i
\(532\) −1.12422 0.598002i −0.0487411 0.0259267i
\(533\) −7.63524 18.4331i −0.330719 0.798426i
\(534\) −0.171181 0.00823693i −0.00740774 0.000356447i
\(535\) −1.19538 1.19538i −0.0516806 0.0516806i
\(536\) −1.18611 + 8.16588i −0.0512321 + 0.352712i
\(537\) 7.47990 7.47990i 0.322781 0.322781i
\(538\) −24.9842 + 22.6902i −1.07715 + 0.978244i
\(539\) −4.76835 + 1.97512i −0.205388 + 0.0850743i
\(540\) 7.94718 + 0.766582i 0.341992 + 0.0329884i
\(541\) 10.7750 26.0132i 0.463255 1.11840i −0.503799 0.863821i \(-0.668065\pi\)
0.967053 0.254574i \(-0.0819354\pi\)
\(542\) 0.996228 + 0.469955i 0.0427917 + 0.0201863i
\(543\) −19.2434 −0.825813
\(544\) 1.71213 2.33298i 0.0734069 0.100026i
\(545\) 23.4171 1.00308
\(546\) 10.5810 + 4.99139i 0.452823 + 0.213612i
\(547\) −13.7101 + 33.0991i −0.586201 + 1.41521i 0.300908 + 0.953653i \(0.402710\pi\)
−0.887109 + 0.461561i \(0.847290\pi\)
\(548\) −3.17438 + 32.9089i −0.135603 + 1.40580i
\(549\) −8.10777 + 3.35835i −0.346031 + 0.143331i
\(550\) −36.0278 + 32.7198i −1.53623 + 1.39518i
\(551\) 1.39787 1.39787i 0.0595512 0.0595512i
\(552\) −10.1677 + 7.58860i −0.432768 + 0.322992i
\(553\) 1.16186 + 1.16186i 0.0494072 + 0.0494072i
\(554\) −5.42814 0.261192i −0.230619 0.0110970i
\(555\) 9.15187 + 22.0946i 0.388475 + 0.937862i
\(556\) 19.5384 36.7314i 0.828613 1.55776i
\(557\) −21.4363 8.87921i −0.908286 0.376224i −0.120886 0.992666i \(-0.538573\pi\)
−0.787400 + 0.616442i \(0.788573\pi\)
\(558\) −7.74790 + 2.78104i −0.327995 + 0.117731i
\(559\) 12.2134i 0.516571i
\(560\) −30.8204 20.4146i −1.30240 0.862673i
\(561\) 1.60974i 0.0679632i
\(562\) −2.43764 6.79118i −0.102825 0.286469i
\(563\) −41.3211 17.1158i −1.74148 0.721343i −0.998655 0.0518544i \(-0.983487\pi\)
−0.742822 0.669489i \(-0.766513\pi\)
\(564\) 5.50175 + 18.0063i 0.231665 + 0.758202i
\(565\) 5.50586 + 13.2923i 0.231633 + 0.559212i
\(566\) −0.905905 + 18.8267i −0.0380780 + 0.791344i
\(567\) −1.63704 1.63704i −0.0687493 0.0687493i
\(568\) 2.59051 4.35175i 0.108695 0.182595i
\(569\) 29.0924 29.0924i 1.21962 1.21962i 0.251848 0.967767i \(-0.418962\pi\)
0.967767 0.251848i \(-0.0810384\pi\)
\(570\) −1.04382 1.14935i −0.0437208 0.0481411i
\(571\) 0.414172 0.171556i 0.0173326 0.00717938i −0.374000 0.927429i \(-0.622014\pi\)
0.391333 + 0.920249i \(0.372014\pi\)
\(572\) −17.3548 + 14.3013i −0.725642 + 0.597967i
\(573\) 3.89432 9.40172i 0.162688 0.392763i
\(574\) 7.79963 16.5340i 0.325550 0.690114i
\(575\) −49.0567 −2.04581
\(576\) −7.66940 2.27601i −0.319559 0.0948339i
\(577\) 23.7041 0.986813 0.493406 0.869799i \(-0.335752\pi\)
0.493406 + 0.869799i \(0.335752\pi\)
\(578\) −10.0993 + 21.4090i −0.420078 + 0.890497i
\(579\) −2.74568 + 6.62865i −0.114107 + 0.275477i
\(580\) 44.2915 36.4986i 1.83911 1.51552i
\(581\) 3.26024 1.35043i 0.135257 0.0560255i
\(582\) −0.644294 0.709433i −0.0267069 0.0294070i
\(583\) −14.5640 + 14.5640i −0.603178 + 0.603178i
\(584\) −25.8338 15.3784i −1.06901 0.636362i
\(585\) 10.0866 + 10.0866i 0.417029 + 0.417029i
\(586\) 1.55609 32.3390i 0.0642816 1.33591i
\(587\) −6.09999 14.7267i −0.251773 0.607835i 0.746574 0.665302i \(-0.231697\pi\)
−0.998347 + 0.0574676i \(0.981697\pi\)
\(588\) −0.958561 3.13721i −0.0395304 0.129376i
\(589\) 1.47894 + 0.612598i 0.0609388 + 0.0252417i
\(590\) 27.5444 + 76.7378i 1.13398 + 3.15925i
\(591\) 10.6199i 0.436845i
\(592\) −4.76946 23.4833i −0.196024 0.965157i
\(593\) 6.36035i 0.261188i 0.991436 + 0.130594i \(0.0416885\pi\)
−0.991436 + 0.130594i \(0.958312\pi\)
\(594\) 4.18849 1.50342i 0.171856 0.0616862i
\(595\) −4.36798 1.80928i −0.179070 0.0741731i
\(596\) −0.271434 + 0.510285i −0.0111184 + 0.0209021i
\(597\) 4.29107 + 10.3596i 0.175622 + 0.423989i
\(598\) −22.6415 1.08947i −0.925880 0.0445516i
\(599\) −4.61895 4.61895i −0.188725 0.188725i 0.606420 0.795145i \(-0.292605\pi\)
−0.795145 + 0.606420i \(0.792605\pi\)
\(600\) −18.5015 24.7896i −0.755319 1.01203i
\(601\) −10.9077 + 10.9077i −0.444936 + 0.444936i −0.893667 0.448731i \(-0.851876\pi\)
0.448731 + 0.893667i \(0.351876\pi\)
\(602\) 8.28425 7.52360i 0.337641 0.306639i
\(603\) 2.69530 1.11643i 0.109761 0.0454645i
\(604\) −1.27822 + 13.2513i −0.0520101 + 0.539190i
\(605\) 1.67760 4.05009i 0.0682043 0.164660i
\(606\) 13.8573 + 6.53698i 0.562916 + 0.265547i
\(607\) −0.957019 −0.0388442 −0.0194221 0.999811i \(-0.506183\pi\)
−0.0194221 + 0.999811i \(0.506183\pi\)
\(608\) 0.806493 + 1.33033i 0.0327076 + 0.0539519i
\(609\) −16.6420 −0.674367
\(610\) 44.8089 + 21.1379i 1.81426 + 0.855849i
\(611\) −12.8730 + 31.0782i −0.520787 + 1.25729i
\(612\) −1.01839 0.0982338i −0.0411661 0.00397087i
\(613\) −2.24424 + 0.929594i −0.0906440 + 0.0375460i −0.427545 0.903994i \(-0.640621\pi\)
0.336901 + 0.941540i \(0.390621\pi\)
\(614\) −33.6927 + 30.5991i −1.35973 + 1.23488i
\(615\) 15.7615 15.7615i 0.635564 0.635564i
\(616\) −20.3913 2.96187i −0.821588 0.119337i
\(617\) −22.5163 22.5163i −0.906472 0.906472i 0.0895138 0.995986i \(-0.471469\pi\)
−0.995986 + 0.0895138i \(0.971469\pi\)
\(618\) 16.4847 + 0.793216i 0.663114 + 0.0319078i
\(619\) −3.44381 8.31410i −0.138419 0.334172i 0.839436 0.543459i \(-0.182886\pi\)
−0.977854 + 0.209287i \(0.932886\pi\)
\(620\) 41.0303 + 21.8251i 1.64782 + 0.876518i
\(621\) 4.14422 + 1.71659i 0.166302 + 0.0688844i
\(622\) 9.57750 3.43776i 0.384023 0.137842i
\(623\) 0.280555i 0.0112402i
\(624\) −7.98857 11.8522i −0.319799 0.474467i
\(625\) 39.9216i 1.59687i
\(626\) −7.00639 19.5196i −0.280031 0.780160i
\(627\) −0.799511 0.331168i −0.0319294 0.0132256i
\(628\) 37.1494 11.3509i 1.48242 0.452948i
\(629\) −1.17277 2.83131i −0.0467613 0.112892i
\(630\) −0.628189 + 13.0551i −0.0250277 + 0.520129i
\(631\) 28.2240 + 28.2240i 1.12358 + 1.12358i 0.991199 + 0.132379i \(0.0422617\pi\)
0.132379 + 0.991199i \(0.457738\pi\)
\(632\) −0.493640 1.94578i −0.0196359 0.0773989i
\(633\) −18.3458 + 18.3458i −0.729181 + 0.729181i
\(634\) −15.3754 16.9299i −0.610637 0.672373i
\(635\) −0.540876 + 0.224038i −0.0214640 + 0.00889068i
\(636\) −8.32507 10.1026i −0.330111 0.400594i
\(637\) 2.24285 5.41471i 0.0888649 0.214539i
\(638\) 13.6480 28.9317i 0.540331 1.14542i
\(639\) −1.79055 −0.0708329
\(640\) 19.5975 + 40.6914i 0.774660 + 1.60847i
\(641\) −30.2846 −1.19617 −0.598084 0.801433i \(-0.704071\pi\)
−0.598084 + 0.801433i \(0.704071\pi\)
\(642\) 0.255510 0.541639i 0.0100842 0.0213768i
\(643\) 0.944867 2.28111i 0.0372619 0.0899582i −0.904153 0.427209i \(-0.859497\pi\)
0.941415 + 0.337251i \(0.109497\pi\)
\(644\) −13.2085 16.0287i −0.520487 0.631619i
\(645\) 12.6061 5.22161i 0.496364 0.205601i
\(646\) 0.133761 + 0.147284i 0.00526274 + 0.00579481i
\(647\) 8.32184 8.32184i 0.327165 0.327165i −0.524342 0.851508i \(-0.675689\pi\)
0.851508 + 0.524342i \(0.175689\pi\)
\(648\) 0.695531 + 2.74158i 0.0273231 + 0.107699i
\(649\) 32.1336 + 32.1336i 1.26136 + 1.26136i
\(650\) 2.65619 55.2014i 0.104184 2.16518i
\(651\) −5.15703 12.4502i −0.202120 0.487960i
\(652\) −29.7233 + 9.08182i −1.16405 + 0.355672i
\(653\) 19.1159 + 7.91806i 0.748062 + 0.309858i 0.723951 0.689852i \(-0.242324\pi\)
0.0241116 + 0.999709i \(0.492324\pi\)
\(654\) 2.80260 + 7.80795i 0.109590 + 0.305315i
\(655\) 12.1300i 0.473959i
\(656\) −18.5204 + 12.4831i −0.723101 + 0.487382i
\(657\) 10.6295i 0.414694i
\(658\) −29.0101 + 10.4129i −1.13093 + 0.405938i
\(659\) 29.0382 + 12.0280i 1.13117 + 0.468546i 0.868178 0.496253i \(-0.165291\pi\)
0.262991 + 0.964798i \(0.415291\pi\)
\(660\) −22.1809 11.7986i −0.863389 0.459259i
\(661\) −6.92538 16.7193i −0.269366 0.650307i 0.730088 0.683353i \(-0.239479\pi\)
−0.999454 + 0.0330463i \(0.989479\pi\)
\(662\) −44.3634 2.13469i −1.72423 0.0829669i
\(663\) −1.29255 1.29255i −0.0501984 0.0501984i
\(664\) −4.26649 0.619716i −0.165572 0.0240496i
\(665\) 1.79723 1.79723i 0.0696937 0.0696937i
\(666\) −6.27168 + 5.69583i −0.243023 + 0.220709i
\(667\) 29.7901 12.3395i 1.15348 0.477787i
\(668\) 30.1485 + 2.90811i 1.16648 + 0.112518i
\(669\) −0.219360 + 0.529583i −0.00848096 + 0.0204749i
\(670\) −14.8960 7.02696i −0.575484 0.271475i
\(671\) 27.6150 1.06606
\(672\) 3.11819 12.7197i 0.120287 0.490673i
\(673\) −19.3968 −0.747691 −0.373846 0.927491i \(-0.621961\pi\)
−0.373846 + 0.927491i \(0.621961\pi\)
\(674\) −2.71186 1.27928i −0.104457 0.0492758i
\(675\) −4.18515 + 10.1038i −0.161087 + 0.388897i
\(676\) −0.0445054 + 0.461389i −0.00171175 + 0.0177457i
\(677\) −1.10973 + 0.459664i −0.0426503 + 0.0176663i −0.403907 0.914800i \(-0.632348\pi\)
0.361256 + 0.932467i \(0.382348\pi\)
\(678\) −3.77311 + 3.42667i −0.144905 + 0.131600i
\(679\) 1.10934 1.10934i 0.0425724 0.0425724i
\(680\) 3.45482 + 4.62901i 0.132486 + 0.177514i
\(681\) 2.66721 + 2.66721i 0.102208 + 0.102208i
\(682\) 25.8736 + 1.24499i 0.990750 + 0.0476731i
\(683\) −2.49553 6.02475i −0.0954889 0.230531i 0.868916 0.494959i \(-0.164817\pi\)
−0.964405 + 0.264428i \(0.914817\pi\)
\(684\) 0.258302 0.485598i 0.00987643 0.0185673i
\(685\) −60.9682 25.2539i −2.32948 0.964900i
\(686\) 26.6255 9.55697i 1.01656 0.364887i
\(687\) 7.68963i 0.293378i
\(688\) −13.3984 + 2.72122i −0.510809 + 0.103745i
\(689\) 23.3885i 0.891030i
\(690\) −8.55547 23.8353i −0.325701 0.907394i
\(691\) −12.2382 5.06922i −0.465563 0.192842i 0.137556 0.990494i \(-0.456075\pi\)
−0.603118 + 0.797652i \(0.706075\pi\)
\(692\) −1.55937 5.10356i −0.0592784 0.194008i
\(693\) 2.78787 + 6.73052i 0.105902 + 0.255671i
\(694\) −1.15203 + 23.9417i −0.0437304 + 0.908813i
\(695\) 58.7207 + 58.7207i 2.22740 + 2.22740i
\(696\) 17.4706 + 10.3999i 0.662222 + 0.394208i
\(697\) −2.01976 + 2.01976i −0.0765037 + 0.0765037i
\(698\) −6.31915 6.95802i −0.239183 0.263365i
\(699\) 1.80474 0.747548i 0.0682615 0.0282748i
\(700\) 39.0789 32.2031i 1.47704 1.21716i
\(701\) 14.9505 36.0936i 0.564671 1.36324i −0.341322 0.939946i \(-0.610875\pi\)
0.905994 0.423291i \(-0.139125\pi\)
\(702\) −2.15599 + 4.57036i −0.0813727 + 0.172497i
\(703\) 1.64751 0.0621369
\(704\) 19.5557 + 15.8523i 0.737032 + 0.597456i
\(705\) −37.5811 −1.41539
\(706\) −16.1595 + 34.2556i −0.608172 + 1.28923i
\(707\) −9.59863 + 23.1731i −0.360994 + 0.871516i
\(708\) −22.2901 + 18.3682i −0.837715 + 0.690321i
\(709\) 31.0545 12.8632i 1.16627 0.483087i 0.286315 0.958136i \(-0.407570\pi\)
0.879959 + 0.475049i \(0.157570\pi\)
\(710\) 6.79611 + 7.48321i 0.255054 + 0.280840i
\(711\) −0.501855 + 0.501855i −0.0188210 + 0.0188210i
\(712\) −0.175325 + 0.294525i −0.00657058 + 0.0110378i
\(713\) 18.4628 + 18.4628i 0.691437 + 0.691437i
\(714\) 0.0804995 1.67295i 0.00301262 0.0626087i
\(715\) −17.1774 41.4699i −0.642399 1.55089i
\(716\) −6.18209 20.2330i −0.231036 0.756141i
\(717\) 4.23557 + 1.75443i 0.158180 + 0.0655205i
\(718\) −14.8395 41.3426i −0.553807 1.54289i
\(719\) 12.6636i 0.472274i 0.971720 + 0.236137i \(0.0758815\pi\)
−0.971720 + 0.236137i \(0.924119\pi\)
\(720\) 8.81790 13.3126i 0.328624 0.496132i
\(721\) 27.0174i 1.00618i
\(722\) 25.1896 9.04157i 0.937458 0.336492i
\(723\) −14.7406 6.10576i −0.548209 0.227076i
\(724\) −18.0742 + 33.9787i −0.671722 + 1.26281i
\(725\) 30.0844 + 72.6302i 1.11731 + 2.69742i
\(726\) 1.55120 + 0.0746410i 0.0575705 + 0.00277019i
\(727\) 33.0425 + 33.0425i 1.22548 + 1.22548i 0.965657 + 0.259821i \(0.0836636\pi\)
0.259821 + 0.965657i \(0.416336\pi\)
\(728\) 18.7516 13.9950i 0.694979 0.518691i
\(729\) 0.707107 0.707107i 0.0261891 0.0261891i
\(730\) 44.4235 40.3446i 1.64419 1.49322i
\(731\) −1.61541 + 0.669124i −0.0597480 + 0.0247484i
\(732\) −1.68520 + 17.4705i −0.0622867 + 0.645727i
\(733\) 1.87261 4.52088i 0.0691664 0.166982i −0.885516 0.464609i \(-0.846195\pi\)
0.954682 + 0.297626i \(0.0961950\pi\)
\(734\) 25.7459 + 12.1452i 0.950297 + 0.448288i
\(735\) 6.54770 0.241516
\(736\) 3.84950 + 25.0811i 0.141894 + 0.924501i
\(737\) −9.18015 −0.338155
\(738\) 7.14171 + 3.36899i 0.262890 + 0.124014i
\(739\) 15.0628 36.3648i 0.554093 1.33770i −0.360287 0.932842i \(-0.617321\pi\)
0.914380 0.404857i \(-0.132679\pi\)
\(740\) 47.6090 + 4.59235i 1.75014 + 0.168818i
\(741\) 0.907887 0.376059i 0.0333520 0.0138149i
\(742\) 15.8642 14.4076i 0.582394 0.528920i
\(743\) −20.9250 + 20.9250i −0.767664 + 0.767664i −0.977695 0.210031i \(-0.932644\pi\)
0.210031 + 0.977695i \(0.432644\pi\)
\(744\) −2.36657 + 16.2928i −0.0867625 + 0.597324i
\(745\) −0.815767 0.815767i −0.0298874 0.0298874i
\(746\) −1.02857 0.0494929i −0.0376587 0.00181207i
\(747\) 0.583309 + 1.40823i 0.0213422 + 0.0515246i
\(748\) 2.84237 + 1.51193i 0.103927 + 0.0552817i
\(749\) 0.905765 + 0.375180i 0.0330959 + 0.0137088i
\(750\) 31.5436 11.3223i 1.15181 0.413432i
\(751\) 2.47050i 0.0901497i −0.998984 0.0450749i \(-0.985647\pi\)
0.998984 0.0450749i \(-0.0143526\pi\)
\(752\) 36.9618 + 7.19763i 1.34786 + 0.262470i
\(753\) 21.7334i 0.792008i
\(754\) 12.2721 + 34.1896i 0.446923 + 1.24511i
\(755\) −24.5499 10.1689i −0.893464 0.370085i
\(756\) −4.42816 + 1.35301i −0.161051 + 0.0492084i
\(757\) 2.84324 + 6.86420i 0.103339 + 0.249483i 0.967089 0.254437i \(-0.0818903\pi\)
−0.863750 + 0.503921i \(0.831890\pi\)
\(758\) 2.44943 50.9045i 0.0889673 1.84893i
\(759\) −9.98092 9.98092i −0.362284 0.362284i
\(760\) −3.00985 + 0.763593i −0.109179 + 0.0276984i
\(761\) −29.8039 + 29.8039i −1.08039 + 1.08039i −0.0839198 + 0.996473i \(0.526744\pi\)
−0.996473 + 0.0839198i \(0.973256\pi\)
\(762\) −0.139434 0.153531i −0.00505116 0.00556184i
\(763\) −12.5467 + 5.19700i −0.454220 + 0.188144i
\(764\) −12.9433 15.7068i −0.468271 0.568253i
\(765\) 0.781502 1.88671i 0.0282553 0.0682143i
\(766\) −18.5018 + 39.2209i −0.668498 + 1.41711i
\(767\) −51.6038 −1.86330
\(768\) −11.2223 + 11.4044i −0.404949 + 0.411522i
\(769\) −50.3024 −1.81395 −0.906976 0.421182i \(-0.861615\pi\)
−0.906976 + 0.421182i \(0.861615\pi\)
\(770\) 17.5473 37.1973i 0.632359 1.34050i
\(771\) 0.259451 0.626371i 0.00934391 0.0225582i
\(772\) 9.12560 + 11.0741i 0.328438 + 0.398564i
\(773\) −0.373623 + 0.154760i −0.0134383 + 0.00556632i −0.389392 0.921072i \(-0.627315\pi\)
0.375954 + 0.926638i