Properties

Label 144.2.x.e.85.18
Level $144$
Weight $2$
Character 144.85
Analytic conductor $1.150$
Analytic rank $0$
Dimension $72$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 144 = 2^{4} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 144.x (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.14984578911\)
Analytic rank: \(0\)
Dimension: \(72\)
Relative dimension: \(18\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 85.18
Character \(\chi\) \(=\) 144.85
Dual form 144.2.x.e.61.18

$q$-expansion

\(f(q)\) \(=\) \(q+(1.41364 + 0.0402314i) q^{2} +(-0.162237 - 1.72444i) q^{3} +(1.99676 + 0.113746i) q^{4} +(-2.21121 + 0.592492i) q^{5} +(-0.159969 - 2.44426i) q^{6} +(2.67054 - 1.54184i) q^{7} +(2.81813 + 0.241128i) q^{8} +(-2.94736 + 0.559536i) q^{9} +O(q^{10})\) \(q+(1.41364 + 0.0402314i) q^{2} +(-0.162237 - 1.72444i) q^{3} +(1.99676 + 0.113746i) q^{4} +(-2.21121 + 0.592492i) q^{5} +(-0.159969 - 2.44426i) q^{6} +(2.67054 - 1.54184i) q^{7} +(2.81813 + 0.241128i) q^{8} +(-2.94736 + 0.559536i) q^{9} +(-3.14970 + 0.748611i) q^{10} +(-0.918760 + 3.42886i) q^{11} +(-0.127803 - 3.46174i) q^{12} +(-0.375914 - 1.40293i) q^{13} +(3.83722 - 2.07217i) q^{14} +(1.38046 + 3.71697i) q^{15} +(3.97412 + 0.454246i) q^{16} -1.69619 q^{17} +(-4.18902 + 0.672407i) q^{18} +(-5.41876 + 5.41876i) q^{19} +(-4.48266 + 0.931551i) q^{20} +(-3.09206 - 4.35503i) q^{21} +(-1.43675 + 4.81022i) q^{22} +(3.69781 + 2.13493i) q^{23} +(-0.0413964 - 4.89880i) q^{24} +(0.208283 - 0.120252i) q^{25} +(-0.474965 - 1.99836i) q^{26} +(1.44306 + 4.99175i) q^{27} +(5.50781 - 2.77492i) q^{28} +(-0.550286 - 0.147449i) q^{29} +(1.80193 + 5.31000i) q^{30} +(3.59297 - 6.22321i) q^{31} +(5.59971 + 0.802025i) q^{32} +(6.06191 + 1.02805i) q^{33} +(-2.39780 - 0.0682402i) q^{34} +(-4.99161 + 4.99161i) q^{35} +(-5.94882 + 0.782012i) q^{36} +(2.59734 + 2.59734i) q^{37} +(-7.87818 + 7.44217i) q^{38} +(-2.35827 + 0.875847i) q^{39} +(-6.37435 + 1.13654i) q^{40} +(-8.14951 - 4.70512i) q^{41} +(-4.19586 - 6.28085i) q^{42} +(2.81997 - 10.5243i) q^{43} +(-2.22456 + 6.74212i) q^{44} +(6.18571 - 2.98354i) q^{45} +(5.14148 + 3.16680i) q^{46} +(-0.322401 - 0.558415i) q^{47} +(0.138566 - 6.92682i) q^{48} +(1.25453 - 2.17290i) q^{49} +(0.299275 - 0.161614i) q^{50} +(0.275186 + 2.92497i) q^{51} +(-0.591033 - 2.84407i) q^{52} +(-7.59951 - 7.59951i) q^{53} +(1.83914 + 7.11460i) q^{54} -8.12630i q^{55} +(7.89771 - 3.70116i) q^{56} +(10.2234 + 8.46517i) q^{57} +(-0.771975 - 0.230578i) q^{58} +(5.82026 - 1.55953i) q^{59} +(2.33366 + 7.57892i) q^{60} +(-3.88659 - 1.04141i) q^{61} +(5.32954 - 8.65283i) q^{62} +(-7.00833 + 6.03861i) q^{63} +(7.88371 + 1.35906i) q^{64} +(1.66245 + 2.87945i) q^{65} +(8.52800 + 1.69718i) q^{66} +(-1.07739 - 4.02086i) q^{67} +(-3.38689 - 0.192934i) q^{68} +(3.08163 - 6.72300i) q^{69} +(-7.25716 + 6.85552i) q^{70} -4.81741i q^{71} +(-8.44096 + 0.866155i) q^{72} +0.0254428i q^{73} +(3.56721 + 3.77620i) q^{74} +(-0.241158 - 0.339661i) q^{75} +(-11.4363 + 10.2036i) q^{76} +(2.83316 + 10.5735i) q^{77} +(-3.36899 + 1.14326i) q^{78} +(7.90903 + 13.6988i) q^{79} +(-9.05677 + 1.35020i) q^{80} +(8.37384 - 3.29831i) q^{81} +(-11.3312 - 6.97922i) q^{82} +(9.35105 + 2.50561i) q^{83} +(-5.67875 - 9.04768i) q^{84} +(3.75064 - 1.00498i) q^{85} +(4.40984 - 14.7641i) q^{86} +(-0.164989 + 0.972854i) q^{87} +(-3.41598 + 9.44144i) q^{88} +1.29060i q^{89} +(8.86441 - 3.96880i) q^{90} +(-3.16698 - 3.16698i) q^{91} +(7.14081 + 4.68356i) q^{92} +(-11.3144 - 5.18621i) q^{93} +(-0.433294 - 0.802369i) q^{94} +(8.77145 - 15.1926i) q^{95} +(0.474559 - 9.78646i) q^{96} +(4.31271 + 7.46984i) q^{97} +(1.86087 - 3.02124i) q^{98} +(0.789344 - 10.6202i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} + O(q^{10}) \) \( 72q + 4q^{2} + 2q^{3} - 2q^{4} + 4q^{5} - 28q^{6} - 8q^{8} - 20q^{10} - 2q^{11} + 8q^{12} - 16q^{13} - 4q^{14} - 20q^{15} - 10q^{16} - 16q^{17} + 28q^{19} + 12q^{20} - 16q^{21} - 8q^{22} - 40q^{24} - 4q^{26} + 8q^{27} - 16q^{28} + 4q^{29} + 18q^{30} + 28q^{31} - 46q^{32} - 32q^{33} - 14q^{34} - 16q^{35} + 14q^{36} + 16q^{37} + 2q^{38} - 10q^{40} + 26q^{42} - 10q^{43} + 60q^{44} + 40q^{45} + 20q^{46} - 56q^{47} + 2q^{48} + 4q^{49} - 36q^{50} - 54q^{51} + 6q^{52} - 8q^{53} + 92q^{54} + 52q^{56} - 14q^{58} - 14q^{59} + 18q^{60} - 32q^{61} + 16q^{62} - 108q^{63} - 44q^{64} - 64q^{65} + 26q^{66} - 18q^{67} + 16q^{68} + 32q^{69} + 14q^{70} + 114q^{72} + 38q^{74} + 86q^{75} + 10q^{76} - 36q^{77} + 16q^{78} + 44q^{79} + 144q^{80} - 44q^{81} - 88q^{82} + 20q^{83} - 58q^{84} - 8q^{85} + 76q^{86} - 42q^{88} - 80q^{91} - 68q^{92} - 4q^{93} + 20q^{94} + 48q^{95} + 94q^{96} + 40q^{97} + 88q^{98} + 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).

\(n\) \(37\) \(65\) \(127\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.41364 + 0.0402314i 0.999595 + 0.0284479i
\(3\) −0.162237 1.72444i −0.0936678 0.995604i
\(4\) 1.99676 + 0.113746i 0.998381 + 0.0568728i
\(5\) −2.21121 + 0.592492i −0.988884 + 0.264971i −0.716782 0.697298i \(-0.754386\pi\)
−0.272102 + 0.962268i \(0.587719\pi\)
\(6\) −0.159969 2.44426i −0.0653071 0.997865i
\(7\) 2.67054 1.54184i 1.00937 0.582760i 0.0983627 0.995151i \(-0.468639\pi\)
0.911007 + 0.412391i \(0.135306\pi\)
\(8\) 2.81813 + 0.241128i 0.996359 + 0.0852516i
\(9\) −2.94736 + 0.559536i −0.982453 + 0.186512i
\(10\) −3.14970 + 0.748611i −0.996022 + 0.236732i
\(11\) −0.918760 + 3.42886i −0.277017 + 1.03384i 0.677461 + 0.735559i \(0.263080\pi\)
−0.954478 + 0.298282i \(0.903586\pi\)
\(12\) −0.127803 3.46174i −0.0368935 0.999319i
\(13\) −0.375914 1.40293i −0.104260 0.389102i 0.894000 0.448066i \(-0.147887\pi\)
−0.998260 + 0.0589636i \(0.981220\pi\)
\(14\) 3.83722 2.07217i 1.02554 0.553810i
\(15\) 1.38046 + 3.71697i 0.356432 + 0.959717i
\(16\) 3.97412 + 0.454246i 0.993531 + 0.113561i
\(17\) −1.69619 −0.411387 −0.205693 0.978617i \(-0.565945\pi\)
−0.205693 + 0.978617i \(0.565945\pi\)
\(18\) −4.18902 + 0.672407i −0.987361 + 0.158488i
\(19\) −5.41876 + 5.41876i −1.24315 + 1.24315i −0.284460 + 0.958688i \(0.591814\pi\)
−0.958688 + 0.284460i \(0.908186\pi\)
\(20\) −4.48266 + 0.931551i −1.00235 + 0.208301i
\(21\) −3.09206 4.35503i −0.674743 0.950346i
\(22\) −1.43675 + 4.81022i −0.306315 + 1.02554i
\(23\) 3.69781 + 2.13493i 0.771047 + 0.445164i 0.833248 0.552900i \(-0.186479\pi\)
−0.0622012 + 0.998064i \(0.519812\pi\)
\(24\) −0.0413964 4.89880i −0.00845000 0.999964i
\(25\) 0.208283 0.120252i 0.0416566 0.0240504i
\(26\) −0.474965 1.99836i −0.0931483 0.391911i
\(27\) 1.44306 + 4.99175i 0.277716 + 0.960663i
\(28\) 5.50781 2.77492i 1.04088 0.524411i
\(29\) −0.550286 0.147449i −0.102185 0.0273805i 0.207364 0.978264i \(-0.433512\pi\)
−0.309549 + 0.950883i \(0.600178\pi\)
\(30\) 1.80193 + 5.31000i 0.328986 + 0.969468i
\(31\) 3.59297 6.22321i 0.645317 1.11772i −0.338911 0.940818i \(-0.610059\pi\)
0.984228 0.176903i \(-0.0566079\pi\)
\(32\) 5.59971 + 0.802025i 0.989898 + 0.141779i
\(33\) 6.06191 + 1.02805i 1.05524 + 0.178961i
\(34\) −2.39780 0.0682402i −0.411220 0.0117031i
\(35\) −4.99161 + 4.99161i −0.843735 + 0.843735i
\(36\) −5.94882 + 0.782012i −0.991470 + 0.130335i
\(37\) 2.59734 + 2.59734i 0.427000 + 0.427000i 0.887605 0.460605i \(-0.152367\pi\)
−0.460605 + 0.887605i \(0.652367\pi\)
\(38\) −7.87818 + 7.44217i −1.27801 + 1.20728i
\(39\) −2.35827 + 0.875847i −0.377626 + 0.140248i
\(40\) −6.37435 + 1.13654i −1.00787 + 0.179702i
\(41\) −8.14951 4.70512i −1.27274 0.734817i −0.297237 0.954804i \(-0.596065\pi\)
−0.975503 + 0.219987i \(0.929399\pi\)
\(42\) −4.19586 6.28085i −0.647435 0.969157i
\(43\) 2.81997 10.5243i 0.430042 1.60494i −0.322618 0.946529i \(-0.604563\pi\)
0.752660 0.658410i \(-0.228770\pi\)
\(44\) −2.22456 + 6.74212i −0.335366 + 1.01641i
\(45\) 6.18571 2.98354i 0.922111 0.444760i
\(46\) 5.14148 + 3.16680i 0.758071 + 0.466918i
\(47\) −0.322401 0.558415i −0.0470270 0.0814532i 0.841554 0.540173i \(-0.181641\pi\)
−0.888581 + 0.458720i \(0.848308\pi\)
\(48\) 0.138566 6.92682i 0.0200003 0.999800i
\(49\) 1.25453 2.17290i 0.179218 0.310415i
\(50\) 0.299275 0.161614i 0.0423239 0.0228556i
\(51\) 0.275186 + 2.92497i 0.0385337 + 0.409578i
\(52\) −0.591033 2.84407i −0.0819616 0.394402i
\(53\) −7.59951 7.59951i −1.04387 1.04387i −0.998992 0.0448800i \(-0.985709\pi\)
−0.0448800 0.998992i \(-0.514291\pi\)
\(54\) 1.83914 + 7.11460i 0.250275 + 0.968175i
\(55\) 8.12630i 1.09575i
\(56\) 7.89771 3.70116i 1.05538 0.494588i
\(57\) 10.2234 + 8.46517i 1.35413 + 1.12124i
\(58\) −0.771975 0.230578i −0.101365 0.0302764i
\(59\) 5.82026 1.55953i 0.757733 0.203034i 0.140788 0.990040i \(-0.455037\pi\)
0.616946 + 0.787006i \(0.288370\pi\)
\(60\) 2.33366 + 7.57892i 0.301274 + 0.978435i
\(61\) −3.88659 1.04141i −0.497627 0.133339i 0.00127169 0.999999i \(-0.499595\pi\)
−0.498898 + 0.866661i \(0.666262\pi\)
\(62\) 5.32954 8.65283i 0.676852 1.09891i
\(63\) −7.00833 + 6.03861i −0.882966 + 0.760794i
\(64\) 7.88371 + 1.35906i 0.985464 + 0.169883i
\(65\) 1.66245 + 2.87945i 0.206201 + 0.357151i
\(66\) 8.52800 + 1.69718i 1.04972 + 0.208908i
\(67\) −1.07739 4.02086i −0.131624 0.491226i 0.868365 0.495925i \(-0.165171\pi\)
−0.999989 + 0.00469890i \(0.998504\pi\)
\(68\) −3.38689 0.192934i −0.410721 0.0233967i
\(69\) 3.08163 6.72300i 0.370985 0.809354i
\(70\) −7.25716 + 6.85552i −0.867396 + 0.819391i
\(71\) 4.81741i 0.571722i −0.958271 0.285861i \(-0.907720\pi\)
0.958271 0.285861i \(-0.0922795\pi\)
\(72\) −8.44096 + 0.866155i −0.994776 + 0.102077i
\(73\) 0.0254428i 0.00297785i 0.999999 + 0.00148893i \(0.000473940\pi\)
−0.999999 + 0.00148893i \(0.999526\pi\)
\(74\) 3.56721 + 3.77620i 0.414680 + 0.438975i
\(75\) −0.241158 0.339661i −0.0278466 0.0392207i
\(76\) −11.4363 + 10.2036i −1.31184 + 1.17043i
\(77\) 2.83316 + 10.5735i 0.322868 + 1.20496i
\(78\) −3.36899 + 1.14326i −0.381463 + 0.129448i
\(79\) 7.90903 + 13.6988i 0.889835 + 1.54124i 0.840069 + 0.542479i \(0.182514\pi\)
0.0497661 + 0.998761i \(0.484152\pi\)
\(80\) −9.05677 + 1.35020i −1.01258 + 0.150957i
\(81\) 8.37384 3.29831i 0.930427 0.366479i
\(82\) −11.3312 6.97922i −1.25132 0.770726i
\(83\) 9.35105 + 2.50561i 1.02641 + 0.275026i 0.732471 0.680798i \(-0.238367\pi\)
0.293940 + 0.955824i \(0.405033\pi\)
\(84\) −5.67875 9.04768i −0.619602 0.987183i
\(85\) 3.75064 1.00498i 0.406814 0.109005i
\(86\) 4.40984 14.7641i 0.475525 1.59206i
\(87\) −0.164989 + 0.972854i −0.0176886 + 0.104301i
\(88\) −3.41598 + 9.44144i −0.364145 + 1.00646i
\(89\) 1.29060i 0.136803i 0.997658 + 0.0684014i \(0.0217899\pi\)
−0.997658 + 0.0684014i \(0.978210\pi\)
\(90\) 8.86441 3.96880i 0.934391 0.418348i
\(91\) −3.16698 3.16698i −0.331990 0.331990i
\(92\) 7.14081 + 4.68356i 0.744481 + 0.488295i
\(93\) −11.3144 5.18621i −1.17325 0.537785i
\(94\) −0.433294 0.802369i −0.0446908 0.0827581i
\(95\) 8.77145 15.1926i 0.899931 1.55873i
\(96\) 0.474559 9.78646i 0.0484344 0.998826i
\(97\) 4.31271 + 7.46984i 0.437890 + 0.758447i 0.997527 0.0702907i \(-0.0223927\pi\)
−0.559637 + 0.828738i \(0.689059\pi\)
\(98\) 1.86087 3.02124i 0.187976 0.305191i
\(99\) 0.789344 10.6202i 0.0793321 1.06737i
\(100\) 0.429570 0.216424i 0.0429570 0.0216424i
\(101\) 3.30347 12.3287i 0.328708 1.22675i −0.581824 0.813315i \(-0.697661\pi\)
0.910532 0.413440i \(-0.135673\pi\)
\(102\) 0.271338 + 4.14593i 0.0268665 + 0.410508i
\(103\) 0.777714 + 0.449013i 0.0766304 + 0.0442426i 0.537826 0.843056i \(-0.319246\pi\)
−0.461195 + 0.887299i \(0.652579\pi\)
\(104\) −0.721088 4.04428i −0.0707085 0.396574i
\(105\) 9.41753 + 7.79788i 0.919057 + 0.760995i
\(106\) −10.4372 11.0487i −1.01375 1.07315i
\(107\) −3.43615 3.43615i −0.332185 0.332185i 0.521230 0.853416i \(-0.325473\pi\)
−0.853416 + 0.521230i \(0.825473\pi\)
\(108\) 2.31365 + 10.1315i 0.222631 + 0.974903i
\(109\) −10.7430 + 10.7430i −1.02900 + 1.02900i −0.0294299 + 0.999567i \(0.509369\pi\)
−0.999567 + 0.0294299i \(0.990631\pi\)
\(110\) 0.326932 11.4877i 0.0311718 1.09531i
\(111\) 4.05756 4.90034i 0.385127 0.465119i
\(112\) 11.3134 4.91437i 1.06902 0.464364i
\(113\) −6.90863 + 11.9661i −0.649910 + 1.12568i 0.333234 + 0.942844i \(0.391860\pi\)
−0.983144 + 0.182833i \(0.941473\pi\)
\(114\) 14.1117 + 12.3780i 1.32168 + 1.15931i
\(115\) −9.44157 2.52986i −0.880431 0.235911i
\(116\) −1.08202 0.357013i −0.100463 0.0331478i
\(117\) 1.89294 + 3.92460i 0.175002 + 0.362829i
\(118\) 8.29050 1.97046i 0.763202 0.181396i
\(119\) −4.52975 + 2.61525i −0.415241 + 0.239740i
\(120\) 2.99404 + 10.8078i 0.273317 + 0.986610i
\(121\) −1.38669 0.800604i −0.126062 0.0727821i
\(122\) −5.45234 1.62854i −0.493632 0.147441i
\(123\) −6.79153 + 14.8167i −0.612371 + 1.33597i
\(124\) 7.88218 12.0176i 0.707840 1.07921i
\(125\) 7.70429 7.70429i 0.689092 0.689092i
\(126\) −10.1502 + 8.25448i −0.904252 + 0.735367i
\(127\) −11.0753 −0.982777 −0.491389 0.870940i \(-0.663511\pi\)
−0.491389 + 0.870940i \(0.663511\pi\)
\(128\) 11.0901 + 2.23840i 0.980233 + 0.197848i
\(129\) −18.6060 3.15543i −1.63816 0.277820i
\(130\) 2.23426 + 4.13739i 0.195958 + 0.362873i
\(131\) 0.410504 + 1.53202i 0.0358659 + 0.133854i 0.981537 0.191270i \(-0.0612607\pi\)
−0.945671 + 0.325124i \(0.894594\pi\)
\(132\) 11.9873 + 2.74230i 1.04336 + 0.238686i
\(133\) −6.11617 + 22.8259i −0.530339 + 1.97925i
\(134\) −1.36127 5.72740i −0.117596 0.494772i
\(135\) −6.14848 10.1828i −0.529177 0.876398i
\(136\) −4.78009 0.408999i −0.409889 0.0350714i
\(137\) −12.9206 + 7.45971i −1.10388 + 0.637326i −0.937238 0.348691i \(-0.886626\pi\)
−0.166643 + 0.986017i \(0.553293\pi\)
\(138\) 4.62679 9.37993i 0.393859 0.798473i
\(139\) −12.1316 + 3.25066i −1.02899 + 0.275717i −0.733544 0.679642i \(-0.762135\pi\)
−0.295447 + 0.955359i \(0.595469\pi\)
\(140\) −10.5348 + 9.39928i −0.890355 + 0.794384i
\(141\) −0.910645 + 0.646556i −0.0766902 + 0.0544498i
\(142\) 0.193811 6.81009i 0.0162643 0.571490i
\(143\) 5.15582 0.431151
\(144\) −11.9673 + 0.884841i −0.997278 + 0.0737367i
\(145\) 1.30416 0.108305
\(146\) −0.00102360 + 0.0359670i −8.47137e−5 + 0.00297665i
\(147\) −3.95057 1.81083i −0.325837 0.149354i
\(148\) 4.89084 + 5.48171i 0.402025 + 0.450594i
\(149\) 14.9396 4.00304i 1.22390 0.327942i 0.411696 0.911321i \(-0.364936\pi\)
0.812200 + 0.583379i \(0.198270\pi\)
\(150\) −0.327246 0.489861i −0.0267196 0.0399970i
\(151\) −1.44969 + 0.836978i −0.117974 + 0.0681123i −0.557826 0.829958i \(-0.688364\pi\)
0.439852 + 0.898070i \(0.355031\pi\)
\(152\) −16.5774 + 13.9641i −1.34460 + 1.13264i
\(153\) 4.99928 0.949080i 0.404168 0.0767286i
\(154\) 3.57968 + 15.0611i 0.288459 + 1.21366i
\(155\) −4.25762 + 15.8896i −0.341980 + 1.27629i
\(156\) −4.80854 + 1.48061i −0.384991 + 0.118544i
\(157\) −1.28384 4.79137i −0.102462 0.382393i 0.895583 0.444894i \(-0.146759\pi\)
−0.998045 + 0.0625016i \(0.980092\pi\)
\(158\) 10.6294 + 19.6834i 0.845630 + 1.56593i
\(159\) −11.8719 + 14.3378i −0.941506 + 1.13706i
\(160\) −12.8573 + 1.54434i −1.01646 + 0.122091i
\(161\) 13.1669 1.03769
\(162\) 11.9703 4.32573i 0.940475 0.339862i
\(163\) 3.42775 3.42775i 0.268482 0.268482i −0.560006 0.828488i \(-0.689201\pi\)
0.828488 + 0.560006i \(0.189201\pi\)
\(164\) −15.7375 10.3220i −1.22889 0.806012i
\(165\) −14.0133 + 1.31839i −1.09093 + 0.102636i
\(166\) 13.1182 + 3.91823i 1.01817 + 0.304114i
\(167\) −7.20275 4.15851i −0.557366 0.321795i 0.194722 0.980859i \(-0.437620\pi\)
−0.752088 + 0.659063i \(0.770953\pi\)
\(168\) −7.66371 13.0186i −0.591268 1.00441i
\(169\) 9.43143 5.44524i 0.725495 0.418865i
\(170\) 5.34249 1.26979i 0.409750 0.0973883i
\(171\) 12.9390 19.0030i 0.989472 1.45320i
\(172\) 6.82791 20.6937i 0.520623 1.57788i
\(173\) −0.548704 0.147025i −0.0417172 0.0111781i 0.237900 0.971290i \(-0.423541\pi\)
−0.279617 + 0.960112i \(0.590208\pi\)
\(174\) −0.272374 + 1.36863i −0.0206486 + 0.103755i
\(175\) 0.370819 0.642277i 0.0280312 0.0485515i
\(176\) −5.20881 + 13.2094i −0.392629 + 0.995694i
\(177\) −3.63358 9.78365i −0.273117 0.735384i
\(178\) −0.0519225 + 1.82444i −0.00389175 + 0.136747i
\(179\) 0.445920 0.445920i 0.0333297 0.0333297i −0.690246 0.723575i \(-0.742497\pi\)
0.723575 + 0.690246i \(0.242497\pi\)
\(180\) 12.6908 5.25382i 0.945914 0.391597i
\(181\) 9.08467 + 9.08467i 0.675258 + 0.675258i 0.958923 0.283665i \(-0.0915505\pi\)
−0.283665 + 0.958923i \(0.591551\pi\)
\(182\) −4.34956 4.60439i −0.322411 0.341300i
\(183\) −1.16529 + 6.87113i −0.0861408 + 0.507928i
\(184\) 9.90612 + 6.90816i 0.730289 + 0.509276i
\(185\) −7.28218 4.20437i −0.535396 0.309111i
\(186\) −15.7859 7.78664i −1.15748 0.570944i
\(187\) 1.55839 5.81600i 0.113961 0.425308i
\(188\) −0.580241 1.15169i −0.0423184 0.0839959i
\(189\) 11.5502 + 11.1057i 0.840154 + 0.807822i
\(190\) 13.0109 21.1240i 0.943910 1.53249i
\(191\) −6.96468 12.0632i −0.503946 0.872861i −0.999990 0.00456281i \(-0.998548\pi\)
0.496043 0.868298i \(-0.334786\pi\)
\(192\) 1.06458 13.8155i 0.0768294 0.997044i
\(193\) −0.664728 + 1.15134i −0.0478482 + 0.0828754i −0.888958 0.457990i \(-0.848570\pi\)
0.841109 + 0.540865i \(0.181903\pi\)
\(194\) 5.79611 + 10.7332i 0.416136 + 0.770597i
\(195\) 4.69571 3.33394i 0.336267 0.238748i
\(196\) 2.75215 4.19608i 0.196582 0.299720i
\(197\) 16.7957 + 16.7957i 1.19665 + 1.19665i 0.975164 + 0.221482i \(0.0710894\pi\)
0.221482 + 0.975164i \(0.428911\pi\)
\(198\) 1.54311 14.9813i 0.109664 1.06468i
\(199\) 2.87623i 0.203891i 0.994790 + 0.101945i \(0.0325067\pi\)
−0.994790 + 0.101945i \(0.967493\pi\)
\(200\) 0.615964 0.288663i 0.0435552 0.0204116i
\(201\) −6.75892 + 2.51022i −0.476738 + 0.177057i
\(202\) 5.16593 17.2955i 0.363473 1.21691i
\(203\) −1.69690 + 0.454684i −0.119099 + 0.0319125i
\(204\) 0.216778 + 5.87178i 0.0151775 + 0.411107i
\(205\) 20.8080 + 5.57550i 1.45330 + 0.389410i
\(206\) 1.08134 + 0.666032i 0.0753408 + 0.0464047i
\(207\) −12.0933 4.22335i −0.840545 0.293543i
\(208\) −0.856653 5.74617i −0.0593982 0.398425i
\(209\) −13.6016 23.5587i −0.940844 1.62959i
\(210\) 12.9993 + 11.4023i 0.897036 + 0.786832i
\(211\) 0.797494 + 2.97629i 0.0549017 + 0.204896i 0.987928 0.154911i \(-0.0495091\pi\)
−0.933027 + 0.359807i \(0.882842\pi\)
\(212\) −14.3100 16.0388i −0.982815 1.10155i
\(213\) −8.30732 + 0.781565i −0.569208 + 0.0535520i
\(214\) −4.71925 4.99573i −0.322601 0.341501i
\(215\) 24.9422i 1.70105i
\(216\) 2.86307 + 14.4154i 0.194807 + 0.980842i
\(217\) 22.1591i 1.50426i
\(218\) −15.6190 + 14.7546i −1.05785 + 0.999308i
\(219\) 0.0438745 0.00412777i 0.00296476 0.000278929i
\(220\) 0.924330 16.2263i 0.0623183 1.09398i
\(221\) 0.637621 + 2.37963i 0.0428910 + 0.160072i
\(222\) 5.93309 6.76408i 0.398203 0.453975i
\(223\) 5.89459 + 10.2097i 0.394731 + 0.683694i 0.993067 0.117552i \(-0.0375046\pi\)
−0.598336 + 0.801245i \(0.704171\pi\)
\(224\) 16.1909 6.49200i 1.08180 0.433765i
\(225\) −0.546599 + 0.470968i −0.0364399 + 0.0313979i
\(226\) −10.2477 + 16.6378i −0.681670 + 1.10673i
\(227\) 25.6612 + 6.87589i 1.70319 + 0.456369i 0.973740 0.227664i \(-0.0731087\pi\)
0.729451 + 0.684033i \(0.239775\pi\)
\(228\) 19.4509 + 18.0658i 1.28817 + 1.19644i
\(229\) −16.4490 + 4.40749i −1.08698 + 0.291255i −0.757451 0.652891i \(-0.773556\pi\)
−0.329526 + 0.944146i \(0.606889\pi\)
\(230\) −13.2452 3.95616i −0.873364 0.260862i
\(231\) 17.7737 6.60102i 1.16942 0.434315i
\(232\) −1.51522 0.548219i −0.0994792 0.0359923i
\(233\) 2.20632i 0.144541i −0.997385 0.0722703i \(-0.976976\pi\)
0.997385 0.0722703i \(-0.0230244\pi\)
\(234\) 2.51805 + 5.62413i 0.164610 + 0.367661i
\(235\) 1.04375 + 1.04375i 0.0680870 + 0.0680870i
\(236\) 11.7991 2.45199i 0.768054 0.159611i
\(237\) 22.3396 15.8611i 1.45112 1.03029i
\(238\) −6.50865 + 3.51479i −0.421893 + 0.227830i
\(239\) 4.25004 7.36128i 0.274912 0.476161i −0.695201 0.718815i \(-0.744685\pi\)
0.970113 + 0.242654i \(0.0780180\pi\)
\(240\) 3.79769 + 15.3988i 0.245140 + 0.993986i
\(241\) −9.09368 15.7507i −0.585775 1.01459i −0.994778 0.102060i \(-0.967457\pi\)
0.409003 0.912533i \(-0.365877\pi\)
\(242\) −1.92807 1.18755i −0.123941 0.0763389i
\(243\) −7.04627 13.9050i −0.452018 0.892009i
\(244\) −7.64214 2.52153i −0.489238 0.161424i
\(245\) −1.48660 + 5.54805i −0.0949751 + 0.354452i
\(246\) −10.1969 + 20.6722i −0.650129 + 1.31801i
\(247\) 9.63911 + 5.56514i 0.613322 + 0.354102i
\(248\) 11.6261 16.6714i 0.738255 1.05864i
\(249\) 2.80367 16.5318i 0.177675 1.04766i
\(250\) 11.2011 10.5811i 0.708417 0.669210i
\(251\) 4.42291 + 4.42291i 0.279171 + 0.279171i 0.832778 0.553607i \(-0.186749\pi\)
−0.553607 + 0.832778i \(0.686749\pi\)
\(252\) −14.6808 + 11.2605i −0.924806 + 0.709345i
\(253\) −10.7178 + 10.7178i −0.673821 + 0.673821i
\(254\) −15.6566 0.445577i −0.982380 0.0279580i
\(255\) −2.34152 6.30469i −0.146631 0.394815i
\(256\) 15.5873 + 3.61046i 0.974208 + 0.225654i
\(257\) 0.433089 0.750132i 0.0270153 0.0467920i −0.852202 0.523213i \(-0.824733\pi\)
0.879217 + 0.476422i \(0.158066\pi\)
\(258\) −26.1752 5.20919i −1.62960 0.324310i
\(259\) 10.9410 + 2.93163i 0.679840 + 0.182163i
\(260\) 2.99199 + 5.93867i 0.185555 + 0.368301i
\(261\) 1.70439 + 0.126679i 0.105499 + 0.00784124i
\(262\) 0.518671 + 2.18225i 0.0320436 + 0.134820i
\(263\) 7.59086 4.38259i 0.468073 0.270242i −0.247360 0.968924i \(-0.579563\pi\)
0.715433 + 0.698682i \(0.246230\pi\)
\(264\) 16.8354 + 4.35889i 1.03614 + 0.268271i
\(265\) 21.3068 + 12.3015i 1.30886 + 0.755673i
\(266\) −9.56439 + 32.0215i −0.586430 + 1.96336i
\(267\) 2.22555 0.209383i 0.136201 0.0128140i
\(268\) −1.69393 8.15125i −0.103473 0.497917i
\(269\) −6.48858 + 6.48858i −0.395616 + 0.395616i −0.876683 0.481068i \(-0.840249\pi\)
0.481068 + 0.876683i \(0.340249\pi\)
\(270\) −8.28207 14.6422i −0.504031 0.891097i
\(271\) 27.4975 1.67035 0.835177 0.549981i \(-0.185365\pi\)
0.835177 + 0.549981i \(0.185365\pi\)
\(272\) −6.74087 0.770488i −0.408725 0.0467177i
\(273\) −4.94745 + 5.97506i −0.299433 + 0.361627i
\(274\) −18.5652 + 10.0255i −1.12156 + 0.605665i
\(275\) 0.220966 + 0.824656i 0.0133247 + 0.0497286i
\(276\) 6.91799 13.0737i 0.416414 0.786945i
\(277\) 5.27098 19.6716i 0.316703 1.18195i −0.605691 0.795700i \(-0.707103\pi\)
0.922394 0.386251i \(-0.126230\pi\)
\(278\) −17.2806 + 4.10720i −1.03642 + 0.246333i
\(279\) −7.10766 + 20.3524i −0.425525 + 1.21847i
\(280\) −15.2706 + 12.8634i −0.912593 + 0.768734i
\(281\) 12.6319 7.29301i 0.753554 0.435065i −0.0734227 0.997301i \(-0.523392\pi\)
0.826977 + 0.562236i \(0.190059\pi\)
\(282\) −1.31334 + 0.877361i −0.0782081 + 0.0522461i
\(283\) 4.95213 1.32692i 0.294374 0.0788772i −0.108610 0.994084i \(-0.534640\pi\)
0.402983 + 0.915207i \(0.367973\pi\)
\(284\) 0.547960 9.61923i 0.0325154 0.570796i
\(285\) −27.6217 12.6610i −1.63617 0.749972i
\(286\) 7.28848 + 0.207426i 0.430977 + 0.0122654i
\(287\) −29.0182 −1.71289
\(288\) −16.9531 + 0.769384i −0.998972 + 0.0453364i
\(289\) −14.1229 −0.830761
\(290\) 1.84361 + 0.0524682i 0.108261 + 0.00308104i
\(291\) 12.1816 8.64889i 0.714097 0.507007i
\(292\) −0.00289400 + 0.0508032i −0.000169359 + 0.00297303i
\(293\) −9.85233 + 2.63992i −0.575579 + 0.154226i −0.534854 0.844944i \(-0.679633\pi\)
−0.0407250 + 0.999170i \(0.512967\pi\)
\(294\) −5.51183 2.71879i −0.321457 0.158563i
\(295\) −11.9458 + 6.89692i −0.695512 + 0.401554i
\(296\) 6.69336 + 7.94594i 0.389043 + 0.461848i
\(297\) −18.4418 + 0.361814i −1.07010 + 0.0209946i
\(298\) 21.2802 5.05783i 1.23273 0.292992i
\(299\) 1.60510 5.99031i 0.0928253 0.346429i
\(300\) −0.442901 0.705653i −0.0255709 0.0407409i
\(301\) −8.69589 32.4535i −0.501223 1.87059i
\(302\) −2.08301 + 1.12486i −0.119864 + 0.0647286i
\(303\) −21.7961 3.69645i −1.25215 0.212355i
\(304\) −23.9963 + 19.0734i −1.37628 + 1.09393i
\(305\) 9.21109 0.527426
\(306\) 7.10537 1.14053i 0.406187 0.0651998i
\(307\) −13.8230 + 13.8230i −0.788919 + 0.788919i −0.981317 0.192398i \(-0.938374\pi\)
0.192398 + 0.981317i \(0.438374\pi\)
\(308\) 4.45446 + 21.4350i 0.253816 + 1.22137i
\(309\) 0.648120 1.41396i 0.0368703 0.0804376i
\(310\) −6.65801 + 22.2910i −0.378149 + 1.26604i
\(311\) −2.07629 1.19875i −0.117736 0.0679747i 0.439976 0.898010i \(-0.354987\pi\)
−0.557711 + 0.830035i \(0.688320\pi\)
\(312\) −6.85711 + 1.89960i −0.388208 + 0.107544i
\(313\) −11.1437 + 6.43381i −0.629878 + 0.363660i −0.780705 0.624900i \(-0.785140\pi\)
0.150827 + 0.988560i \(0.451806\pi\)
\(314\) −1.62213 6.82493i −0.0915421 0.385153i
\(315\) 11.9191 17.5050i 0.671563 0.986297i
\(316\) 14.2343 + 28.2530i 0.800740 + 1.58935i
\(317\) 6.11177 + 1.63764i 0.343271 + 0.0919792i 0.426336 0.904565i \(-0.359804\pi\)
−0.0830647 + 0.996544i \(0.526471\pi\)
\(318\) −17.3595 + 19.7909i −0.973472 + 1.10982i
\(319\) 1.01116 1.75138i 0.0566142 0.0980586i
\(320\) −18.2378 + 1.66587i −1.01952 + 0.0931250i
\(321\) −5.36795 + 6.48290i −0.299610 + 0.361840i
\(322\) 18.6132 + 0.529722i 1.03727 + 0.0295203i
\(323\) 9.19124 9.19124i 0.511414 0.511414i
\(324\) 17.0957 5.63345i 0.949763 0.312969i
\(325\) −0.247002 0.247002i −0.0137012 0.0137012i
\(326\) 4.98350 4.70770i 0.276011 0.260735i
\(327\) 20.2686 + 16.7828i 1.12086 + 0.928089i
\(328\) −21.8319 15.2247i −1.20546 0.840645i
\(329\) −1.72197 0.994180i −0.0949353 0.0548109i
\(330\) −19.8628 + 1.29996i −1.09341 + 0.0715602i
\(331\) −0.286391 + 1.06882i −0.0157415 + 0.0587479i −0.973350 0.229325i \(-0.926348\pi\)
0.957608 + 0.288073i \(0.0930147\pi\)
\(332\) 18.3868 + 6.06674i 1.00911 + 0.332956i
\(333\) −9.10860 6.20199i −0.499148 0.339867i
\(334\) −10.0148 6.16842i −0.547986 0.337521i
\(335\) 4.76466 + 8.25263i 0.260321 + 0.450889i
\(336\) −10.3100 18.7120i −0.562456 1.02082i
\(337\) −12.1196 + 20.9918i −0.660199 + 1.14350i 0.320364 + 0.947294i \(0.396195\pi\)
−0.980563 + 0.196204i \(0.937139\pi\)
\(338\) 13.5517 7.31818i 0.737117 0.398056i
\(339\) 21.7556 + 9.97215i 1.18160 + 0.541613i
\(340\) 7.60344 1.58009i 0.412355 0.0856923i
\(341\) 18.0374 + 18.0374i 0.976782 + 0.976782i
\(342\) 19.0557 26.3429i 1.03041 1.42446i
\(343\) 13.8486i 0.747755i
\(344\) 10.4848 28.9788i 0.565300 1.56243i
\(345\) −2.83081 + 16.6918i −0.152406 + 0.898657i
\(346\) −0.769755 0.229915i −0.0413823 0.0123603i
\(347\) −4.93905 + 1.32342i −0.265142 + 0.0710447i −0.388941 0.921263i \(-0.627159\pi\)
0.123799 + 0.992307i \(0.460492\pi\)
\(348\) −0.440101 + 1.92379i −0.0235919 + 0.103126i
\(349\) 6.12667 + 1.64164i 0.327953 + 0.0878748i 0.419039 0.907968i \(-0.362367\pi\)
−0.0910858 + 0.995843i \(0.529034\pi\)
\(350\) 0.550044 0.893030i 0.0294011 0.0477345i
\(351\) 6.46061 3.90097i 0.344842 0.208219i
\(352\) −7.89483 + 18.4638i −0.420796 + 0.984122i
\(353\) 6.16156 + 10.6721i 0.327947 + 0.568021i 0.982104 0.188338i \(-0.0603100\pi\)
−0.654157 + 0.756358i \(0.726977\pi\)
\(354\) −4.74297 13.9768i −0.252086 0.742856i
\(355\) 2.85428 + 10.6523i 0.151490 + 0.565367i
\(356\) −0.146800 + 2.57701i −0.00778036 + 0.136581i
\(357\) 5.24473 + 7.38697i 0.277580 + 0.390960i
\(358\) 0.648311 0.612431i 0.0342643 0.0323680i
\(359\) 25.7836i 1.36081i −0.732838 0.680403i \(-0.761805\pi\)
0.732838 0.680403i \(-0.238195\pi\)
\(360\) 18.1516 6.91646i 0.956671 0.364529i
\(361\) 39.7258i 2.09083i
\(362\) 12.4770 + 13.2079i 0.655775 + 0.694194i
\(363\) −1.15562 + 2.52114i −0.0606542 + 0.132325i
\(364\) −5.96348 6.68394i −0.312571 0.350334i
\(365\) −0.0150747 0.0562594i −0.000789044 0.00294475i
\(366\) −1.92374 + 9.66643i −0.100555 + 0.505272i
\(367\) −1.72726 2.99170i −0.0901622 0.156166i 0.817417 0.576046i \(-0.195405\pi\)
−0.907579 + 0.419881i \(0.862072\pi\)
\(368\) 13.7258 + 10.1642i 0.715505 + 0.529845i
\(369\) 26.6522 + 9.30774i 1.38746 + 0.484541i
\(370\) −10.1252 6.23644i −0.526386 0.324217i
\(371\) −32.0120 8.57759i −1.66198 0.445326i
\(372\) −22.0023 11.6426i −1.14077 0.603641i
\(373\) 17.3353 4.64499i 0.897590 0.240508i 0.219609 0.975588i \(-0.429522\pi\)
0.677981 + 0.735080i \(0.262855\pi\)
\(374\) 2.43699 8.15904i 0.126014 0.421894i
\(375\) −14.5355 12.0356i −0.750609 0.621517i
\(376\) −0.773919 1.65143i −0.0399118 0.0851658i
\(377\) 0.827440i 0.0426153i
\(378\) 15.8811 + 16.1642i 0.816833 + 0.831396i
\(379\) 19.9585 + 19.9585i 1.02520 + 1.02520i 0.999674 + 0.0255265i \(0.00812622\pi\)
0.0255265 + 0.999674i \(0.491874\pi\)
\(380\) 19.2426 29.3383i 0.987124 1.50502i
\(381\) 1.79683 + 19.0987i 0.0920546 + 0.978457i
\(382\) −9.36023 17.3332i −0.478911 0.886844i
\(383\) −5.88309 + 10.1898i −0.300612 + 0.520675i −0.976275 0.216536i \(-0.930524\pi\)
0.675663 + 0.737211i \(0.263858\pi\)
\(384\) 2.06075 19.4873i 0.105162 0.994455i
\(385\) −12.5294 21.7016i −0.638559 1.10602i
\(386\) −0.986007 + 1.60084i −0.0501864 + 0.0814807i
\(387\) −2.42275 + 32.5967i −0.123156 + 1.65698i
\(388\) 7.76181 + 15.4061i 0.394046 + 0.782124i
\(389\) 7.61717 28.4276i 0.386206 1.44134i −0.450052 0.893002i \(-0.648595\pi\)
0.836258 0.548337i \(-0.184739\pi\)
\(390\) 6.77218 4.52408i 0.342923 0.229086i
\(391\) −6.27219 3.62125i −0.317198 0.183135i
\(392\) 4.05937 5.82103i 0.205029 0.294006i
\(393\) 2.57528 0.956440i 0.129906 0.0482460i
\(394\) 23.0674 + 24.4189i 1.16212 + 1.23020i
\(395\) −25.6050 25.6050i −1.28833 1.28833i
\(396\) 2.78413 21.1162i 0.139908 1.06113i
\(397\) −7.53419 + 7.53419i −0.378130 + 0.378130i −0.870427 0.492297i \(-0.836157\pi\)
0.492297 + 0.870427i \(0.336157\pi\)
\(398\) −0.115715 + 4.06596i −0.00580027 + 0.203808i
\(399\) 40.3540 + 6.84373i 2.02023 + 0.342615i
\(400\) 0.882366 0.383285i 0.0441183 0.0191643i
\(401\) −4.77831 + 8.27628i −0.238617 + 0.413297i −0.960318 0.278908i \(-0.910028\pi\)
0.721700 + 0.692206i \(0.243361\pi\)
\(402\) −9.65568 + 3.27663i −0.481582 + 0.163423i
\(403\) −10.0814 2.70129i −0.502189 0.134561i
\(404\) 7.99859 24.2418i 0.397945 1.20607i
\(405\) −16.5621 + 12.2547i −0.822978 + 0.608940i
\(406\) −2.41710 + 0.574491i −0.119959 + 0.0285115i
\(407\) −11.2923 + 6.51959i −0.559737 + 0.323164i
\(408\) 0.0702162 + 8.30931i 0.00347622 + 0.411372i
\(409\) −17.7240 10.2330i −0.876395 0.505987i −0.00692724 0.999976i \(-0.502205\pi\)
−0.869468 + 0.493989i \(0.835538\pi\)
\(410\) 29.1908 + 8.71889i 1.44163 + 0.430595i
\(411\) 14.9600 + 21.0705i 0.737922 + 1.03933i
\(412\) 1.50184 + 0.985035i 0.0739902 + 0.0485292i
\(413\) 13.1387 13.1387i 0.646513 0.646513i
\(414\) −16.9257 6.45683i −0.831854 0.317336i
\(415\) −22.1617 −1.08788
\(416\) −0.979823 8.15749i −0.0480398 0.399954i
\(417\) 7.57376 + 20.3928i 0.370889 + 0.998642i
\(418\) −18.2800 33.8508i −0.894105 1.65569i
\(419\) −0.851695 3.17857i −0.0416080 0.155283i 0.941996 0.335623i \(-0.108947\pi\)
−0.983604 + 0.180340i \(0.942280\pi\)
\(420\) 17.9176 + 16.6417i 0.874289 + 0.812033i
\(421\) 2.22646 8.30926i 0.108511 0.404969i −0.890209 0.455553i \(-0.849442\pi\)
0.998720 + 0.0505841i \(0.0161083\pi\)
\(422\) 1.00763 + 4.23949i 0.0490506 + 0.206375i
\(423\) 1.26268 + 1.46545i 0.0613938 + 0.0712528i
\(424\) −19.5839 23.2489i −0.951080 1.12906i
\(425\) −0.353287 + 0.203971i −0.0171370 + 0.00989402i
\(426\) −11.7750 + 0.770637i −0.570501 + 0.0373375i
\(427\) −11.9850 + 3.21136i −0.579994 + 0.155409i
\(428\) −6.47034 7.25203i −0.312756 0.350540i
\(429\) −0.836467 8.89088i −0.0403850 0.429256i
\(430\) −1.00346 + 35.2594i −0.0483912 + 1.70036i
\(431\) −7.01916 −0.338101 −0.169051 0.985607i \(-0.554070\pi\)
−0.169051 + 0.985607i \(0.554070\pi\)
\(432\) 3.46740 + 20.4933i 0.166825 + 0.985986i
\(433\) 25.2759 1.21468 0.607342 0.794440i \(-0.292236\pi\)
0.607342 + 0.794440i \(0.292236\pi\)
\(434\) 0.891493 31.3250i 0.0427930 1.50365i
\(435\) −0.211584 2.24894i −0.0101447 0.107828i
\(436\) −22.6733 + 20.2293i −1.08585 + 0.968809i
\(437\) −31.6062 + 8.46886i −1.51193 + 0.405120i
\(438\) 0.0621888 0.00407006i 0.00297150 0.000194475i
\(439\) −22.3355 + 12.8954i −1.06602 + 0.615464i −0.927090 0.374839i \(-0.877698\pi\)
−0.138925 + 0.990303i \(0.544365\pi\)
\(440\) 1.95948 22.9010i 0.0934144 1.09176i
\(441\) −2.48172 + 7.10628i −0.118177 + 0.338394i
\(442\) 0.805631 + 3.38960i 0.0383200 + 0.161227i
\(443\) 1.27907 4.77356i 0.0607705 0.226799i −0.928861 0.370429i \(-0.879211\pi\)
0.989631 + 0.143630i \(0.0458775\pi\)
\(444\) 8.65938 9.32328i 0.410956 0.442463i
\(445\) −0.764668 2.85378i −0.0362487 0.135282i
\(446\) 7.92208 + 14.6700i 0.375121 + 0.694646i
\(447\) −9.32675 25.1129i −0.441140 1.18780i
\(448\) 23.1492 8.52598i 1.09370 0.402815i
\(449\) −6.88400 −0.324876 −0.162438 0.986719i \(-0.551936\pi\)
−0.162438 + 0.986719i \(0.551936\pi\)
\(450\) −0.791642 + 0.643789i −0.0373184 + 0.0303485i
\(451\) 23.6207 23.6207i 1.11225 1.11225i
\(452\) −15.1560 + 23.1076i −0.712878 + 1.08689i
\(453\) 1.67851 + 2.36411i 0.0788632 + 0.111075i
\(454\) 35.9991 + 10.7524i 1.68952 + 0.504636i
\(455\) 8.87928 + 5.12645i 0.416267 + 0.240332i
\(456\) 26.7697 + 26.3211i 1.25361 + 1.23260i
\(457\) −5.49636 + 3.17333i −0.257109 + 0.148442i −0.623015 0.782210i \(-0.714092\pi\)
0.365906 + 0.930652i \(0.380759\pi\)
\(458\) −23.4302 + 5.56884i −1.09482 + 0.260215i
\(459\) −2.44770 8.46696i −0.114249 0.395204i
\(460\) −18.5648 6.12547i −0.865589 0.285602i
\(461\) −14.3089 3.83405i −0.666430 0.178569i −0.0902836 0.995916i \(-0.528777\pi\)
−0.576146 + 0.817347i \(0.695444\pi\)
\(462\) 25.3912 8.61641i 1.18130 0.400872i
\(463\) 6.15194 10.6555i 0.285905 0.495202i −0.686923 0.726730i \(-0.741039\pi\)
0.972828 + 0.231528i \(0.0743725\pi\)
\(464\) −2.11993 0.835944i −0.0984151 0.0388077i
\(465\) 28.0914 + 4.76409i 1.30271 + 0.220929i
\(466\) 0.0887633 3.11894i 0.00411188 0.144482i
\(467\) −12.7214 + 12.7214i −0.588676 + 0.588676i −0.937273 0.348596i \(-0.886658\pi\)
0.348596 + 0.937273i \(0.386658\pi\)
\(468\) 3.33335 + 8.05180i 0.154084 + 0.372195i
\(469\) −9.07672 9.07672i −0.419124 0.419124i
\(470\) 1.43350 + 1.51749i 0.0661225 + 0.0699964i
\(471\) −8.05412 + 2.99124i −0.371114 + 0.137829i
\(472\) 16.7783 2.99154i 0.772284 0.137697i
\(473\) 33.4954 + 19.3386i 1.54012 + 0.889190i
\(474\) 32.2183 21.5231i 1.47984 0.988590i
\(475\) −0.477017 + 1.78025i −0.0218870 + 0.0816835i
\(476\) −9.34230 + 4.70680i −0.428204 + 0.215736i
\(477\) 26.6507 + 18.1463i 1.22025 + 0.830860i
\(478\) 6.30418 10.2352i 0.288346 0.468148i
\(479\) 20.3626 + 35.2690i 0.930389 + 1.61148i 0.782657 + 0.622454i \(0.213864\pi\)
0.147732 + 0.989027i \(0.452803\pi\)
\(480\) 4.74905 + 21.9211i 0.216764 + 1.00056i
\(481\) 2.66751 4.62026i 0.121628 0.210666i
\(482\) −12.2215 22.6317i −0.556675 1.03085i
\(483\) −2.13616 22.7054i −0.0971986 1.03313i
\(484\) −2.67782 1.75634i −0.121719 0.0798339i
\(485\) −13.9621 13.9621i −0.633988 0.633988i
\(486\) −9.40148 19.9402i −0.426460 0.904507i
\(487\) 33.9729i 1.53946i −0.638370 0.769730i \(-0.720391\pi\)
0.638370 0.769730i \(-0.279609\pi\)
\(488\) −10.7018 3.87199i −0.484448 0.175277i
\(489\) −6.46704 5.35482i −0.292449 0.242153i
\(490\) −2.32472 + 7.78315i −0.105020 + 0.351607i
\(491\) −31.3167 + 8.39129i −1.41330 + 0.378694i −0.883103 0.469179i \(-0.844550\pi\)
−0.530200 + 0.847872i \(0.677883\pi\)
\(492\) −15.2464 + 28.8129i −0.687361 + 1.29898i
\(493\) 0.933389 + 0.250101i 0.0420377 + 0.0112640i
\(494\) 13.4024 + 8.25491i 0.603000 + 0.371406i
\(495\) 4.54696 + 23.9511i 0.204370 + 1.07652i
\(496\) 17.1058 23.0997i 0.768072 1.03721i
\(497\) −7.42767 12.8651i −0.333177 0.577079i
\(498\) 4.62848 23.2572i 0.207407 1.04218i
\(499\) −3.79403 14.1595i −0.169844 0.633867i −0.997373 0.0724432i \(-0.976920\pi\)
0.827528 0.561424i \(-0.189746\pi\)
\(500\) 16.2600 14.5073i 0.727168 0.648786i
\(501\) −6.00253 + 13.0954i −0.268173 + 0.585057i
\(502\) 6.07446 + 6.43034i 0.271117 + 0.287000i
\(503\) 29.4642i 1.31374i −0.754002 0.656872i \(-0.771879\pi\)
0.754002 0.656872i \(-0.228121\pi\)
\(504\) −21.2065 + 15.3277i −0.944611 + 0.682750i
\(505\) 29.2187i 1.30022i
\(506\) −15.5823 + 14.7199i −0.692717 + 0.654380i
\(507\) −10.9201 15.3805i −0.484979 0.683071i
\(508\) −22.1148 1.25977i −0.981187 0.0558933i
\(509\) 1.54692 + 5.77318i 0.0685659 + 0.255892i 0.991697 0.128593i \(-0.0410460\pi\)
−0.923132 + 0.384484i \(0.874379\pi\)
\(510\) −3.05642 9.00677i −0.135340 0.398826i
\(511\) 0.0392286 + 0.0679460i 0.00173537 + 0.00300575i
\(512\) 21.8896 + 5.73099i 0.967394 + 0.253277i
\(513\) −34.8687 19.2295i −1.53949 0.849004i
\(514\) 0.642411 1.04299i 0.0283355 0.0460045i
\(515\) −1.98573 0.532074i −0.0875016 0.0234460i
\(516\) −36.7928 8.41699i −1.61971 0.370538i
\(517\) 2.21094 0.592419i 0.0972369 0.0260545i
\(518\) 15.3487 + 4.58444i 0.674383 + 0.201429i
\(519\) −0.164514 + 0.970057i −0.00722138 + 0.0425808i
\(520\) 3.99068 + 8.51552i 0.175003 + 0.373430i
\(521\) 26.7544i 1.17213i 0.810264 + 0.586065i \(0.199324\pi\)
−0.810264 + 0.586065i \(0.800676\pi\)
\(522\) 2.40430 + 0.247649i 0.105233 + 0.0108393i
\(523\) 22.3142 + 22.3142i 0.975731 + 0.975731i 0.999712 0.0239815i \(-0.00763427\pi\)
−0.0239815 + 0.999712i \(0.507634\pi\)
\(524\) 0.645419 + 3.10578i 0.0281953 + 0.135677i
\(525\) −1.16773 0.535251i −0.0509637 0.0233603i
\(526\) 10.9071 5.89001i 0.475571 0.256817i
\(527\) −6.09436 + 10.5557i −0.265475 + 0.459816i
\(528\) 23.6238 + 6.83921i 1.02809 + 0.297638i
\(529\) −2.38414 4.12944i −0.103658 0.179541i
\(530\) 29.6252 + 18.2471i 1.28684 + 0.792602i
\(531\) −16.2818 + 7.85315i −0.706569 + 0.340798i
\(532\) −14.8089 + 44.8821i −0.642046 + 1.94589i
\(533\) −3.53744 + 13.2019i −0.153224 + 0.571838i
\(534\) 3.15455 0.206455i 0.136511 0.00893419i
\(535\) 9.63396 + 5.56217i 0.416512 + 0.240473i
\(536\) −2.06667 11.5911i −0.0892666 0.500659i
\(537\) −0.841306 0.696616i −0.0363050 0.0300612i
\(538\) −9.43357 + 8.91148i −0.406710 + 0.384201i
\(539\) 6.29798 + 6.29798i 0.271273 + 0.271273i
\(540\) −11.1188 21.0320i −0.478477 0.905075i
\(541\) 8.87843 8.87843i 0.381713 0.381713i −0.490006 0.871719i \(-0.663005\pi\)
0.871719 + 0.490006i \(0.163005\pi\)
\(542\) 38.8716 + 1.10626i 1.66968 + 0.0475181i
\(543\) 14.1921 17.1398i 0.609039 0.735539i
\(544\) −9.49818 1.36039i −0.407231 0.0583262i
\(545\) 17.3900 30.1203i 0.744904 1.29021i
\(546\) −7.23431 + 8.24755i −0.309600 + 0.352962i
\(547\) −29.2821 7.84612i −1.25201 0.335476i −0.428899 0.903352i \(-0.641099\pi\)
−0.823114 + 0.567876i \(0.807765\pi\)
\(548\) −26.6479 + 13.4256i −1.13834 + 0.573514i
\(549\) 12.0379 + 0.894716i 0.513764 + 0.0381855i
\(550\) 0.279189 + 1.17466i 0.0119047 + 0.0500875i
\(551\) 3.78085 2.18288i 0.161070 0.0929936i
\(552\) 10.3055 18.2032i 0.438633 0.774781i
\(553\) 42.2428 + 24.3889i 1.79635 + 1.03712i
\(554\) 8.24269 27.5965i 0.350198 1.17246i
\(555\) −6.06872 + 13.2398i −0.257603 + 0.561996i
\(556\) −24.5937 + 5.11088i −1.04301 + 0.216750i
\(557\) −21.6018 + 21.6018i −0.915297 + 0.915297i −0.996683 0.0813861i \(-0.974065\pi\)
0.0813861 + 0.996683i \(0.474065\pi\)
\(558\) −10.8665 + 28.4851i −0.460015 + 1.20587i
\(559\) −15.8249 −0.669322
\(560\) −22.1047 + 17.5698i −0.934093 + 0.742461i
\(561\) −10.2822 1.74378i −0.434113 0.0736222i
\(562\) 18.1503 9.80150i 0.765626 0.413451i
\(563\) 1.89104 + 7.05746i 0.0796979 + 0.297437i 0.994257 0.107015i \(-0.0341292\pi\)
−0.914560 + 0.404451i \(0.867463\pi\)
\(564\) −1.89189 + 1.18744i −0.0796628 + 0.0500001i
\(565\) 8.18663 30.5529i 0.344414 1.28537i
\(566\) 7.05392 1.67656i 0.296498 0.0704709i
\(567\) 17.2772 21.7194i 0.725575 0.912128i
\(568\) 1.16161 13.5761i 0.0487402 0.569640i
\(569\) −23.2350 + 13.4148i −0.974063 + 0.562376i −0.900473 0.434913i \(-0.856779\pi\)
−0.0735908 + 0.997289i \(0.523446\pi\)
\(570\) −38.5378 19.0094i −1.61417 0.796214i
\(571\) −18.7332 + 5.01955i −0.783960 + 0.210062i −0.628530 0.777785i \(-0.716343\pi\)
−0.155430 + 0.987847i \(0.549676\pi\)
\(572\) 10.2950 + 0.586452i 0.430454 + 0.0245208i
\(573\) −19.6722 + 13.9672i −0.821820 + 0.583490i
\(574\) −41.0213 1.16744i −1.71219 0.0487281i
\(575\) 1.02692 0.0428255
\(576\) −23.9966 + 0.405586i −0.999857 + 0.0168994i
\(577\) 35.0568 1.45943 0.729717 0.683750i \(-0.239652\pi\)
0.729717 + 0.683750i \(0.239652\pi\)
\(578\) −19.9648 0.568186i −0.830425 0.0236334i
\(579\) 2.09326 + 0.959490i 0.0869929 + 0.0398750i
\(580\) 2.60410 + 0.148342i 0.108129 + 0.00615959i
\(581\) 28.8356 7.72648i 1.19630 0.320548i
\(582\) 17.5683 11.7363i 0.728231 0.486487i
\(583\) 33.0398 19.0755i 1.36837 0.790027i
\(584\) −0.00613497 + 0.0717011i −0.000253867 + 0.00296701i
\(585\) −6.51099 7.55656i −0.269196 0.312425i
\(586\) −14.0339 + 3.33553i −0.579734 + 0.137790i
\(587\) 4.80045 17.9155i 0.198136 0.739453i −0.793297 0.608835i \(-0.791637\pi\)
0.991433 0.130618i \(-0.0416961\pi\)
\(588\) −7.68237 4.06515i −0.316816 0.167644i
\(589\) 14.2526 + 53.1915i 0.587269 + 2.19172i
\(590\) −17.1646 + 9.26917i −0.706654 + 0.381606i
\(591\) 26.2383 31.6881i 1.07930 1.30347i
\(592\) 9.14233 + 11.5020i 0.375747 + 0.472729i
\(593\) −5.47582 −0.224865 −0.112432 0.993659i \(-0.535864\pi\)
−0.112432 + 0.993659i \(0.535864\pi\)
\(594\) −26.0847 0.230466i −1.07027 0.00945615i
\(595\) 8.46671 8.46671i 0.347101 0.347101i
\(596\) 30.2861 6.29382i 1.24057 0.257805i
\(597\) 4.95988 0.466633i 0.202994 0.0190980i
\(598\) 2.51003 8.40358i 0.102643 0.343648i
\(599\) −17.2378 9.95227i −0.704319 0.406639i 0.104635 0.994511i \(-0.466633\pi\)
−0.808954 + 0.587872i \(0.799966\pi\)
\(600\) −0.597714 1.01536i −0.0244016 0.0414518i
\(601\) −30.3863 + 17.5435i −1.23948 + 0.715616i −0.968989 0.247105i \(-0.920521\pi\)
−0.270495 + 0.962721i \(0.587187\pi\)
\(602\) −10.9872 46.2274i −0.447805 1.88409i
\(603\) 5.42526 + 11.2481i 0.220934 + 0.458057i
\(604\) −2.98989 + 1.50635i −0.121657 + 0.0612925i
\(605\) 3.54061 + 0.948703i 0.143946 + 0.0385703i
\(606\) −30.6631 6.10233i −1.24560 0.247890i
\(607\) 7.86595 13.6242i 0.319269 0.552991i −0.661067 0.750327i \(-0.729896\pi\)
0.980336 + 0.197337i \(0.0632292\pi\)
\(608\) −34.6894 + 25.9975i −1.40684 + 1.05434i
\(609\) 1.05937 + 2.85243i 0.0429280 + 0.115586i
\(610\) 13.0212 + 0.370575i 0.527212 + 0.0150042i
\(611\) −0.662222 + 0.662222i −0.0267906 + 0.0267906i
\(612\) 10.0903 1.32644i 0.407877 0.0536182i
\(613\) −19.8523 19.8523i −0.801828 0.801828i 0.181553 0.983381i \(-0.441888\pi\)
−0.983381 + 0.181553i \(0.941888\pi\)
\(614\) −20.0969 + 18.9846i −0.811043 + 0.766157i
\(615\) 6.23875 36.7867i 0.251571 1.48338i
\(616\) 5.43464 + 30.4806i 0.218968 + 1.22810i
\(617\) 14.2878 + 8.24909i 0.575207 + 0.332096i 0.759226 0.650827i \(-0.225578\pi\)
−0.184019 + 0.982923i \(0.558911\pi\)
\(618\) 0.973096 1.97276i 0.0391436 0.0793562i
\(619\) 10.8215 40.3865i 0.434954 1.62327i −0.306221 0.951960i \(-0.599065\pi\)
0.741176 0.671311i \(-0.234269\pi\)
\(620\) −10.3088 + 31.2436i −0.414012 + 1.25477i
\(621\) −5.32090 + 21.5394i −0.213520 + 0.864345i
\(622\) −2.88690 1.77813i −0.115754 0.0712965i
\(623\) 1.98989 + 3.44659i 0.0797232 + 0.138085i
\(624\) −9.76992 + 2.40949i −0.391110 + 0.0964567i
\(625\) −13.0723 + 22.6420i −0.522894 + 0.905678i
\(626\) −16.0120 + 8.64677i −0.639969 + 0.345595i
\(627\) −38.4188 + 27.2772i −1.53430 + 1.08935i
\(628\) −2.01853 9.71326i −0.0805483 0.387601i
\(629\) −4.40559 4.40559i −0.175662 0.175662i
\(630\) 17.5535 24.2663i 0.699349 0.966793i
\(631\) 1.27009i 0.0505615i −0.999680 0.0252808i \(-0.991952\pi\)
0.999680 0.0252808i \(-0.00804797\pi\)
\(632\) 18.9855 + 40.5122i 0.755203 + 1.61149i
\(633\) 5.00303 1.85809i 0.198853 0.0738525i
\(634\) 8.57396 + 2.56093i 0.340516 + 0.101707i
\(635\) 24.4899 6.56205i 0.971853 0.260407i
\(636\) −25.3363 + 27.2788i −1.00465 + 1.08167i
\(637\) −3.52002 0.943188i −0.139468 0.0373705i
\(638\) 1.49988 2.43515i 0.0593808 0.0964084i
\(639\) 2.69552 + 14.1986i 0.106633 + 0.561690i
\(640\) −25.8487 + 1.62121i −1.02176 + 0.0640840i
\(641\) 22.6338 + 39.2028i 0.893979 + 1.54842i 0.835063 + 0.550155i \(0.185431\pi\)
0.0589168 + 0.998263i \(0.481235\pi\)
\(642\) −7.84918 + 8.94853i −0.309782 + 0.353170i
\(643\) 5.89901 + 22.0154i 0.232634 + 0.868203i 0.979201 + 0.202892i \(0.0650342\pi\)
−0.746567 + 0.665311i \(0.768299\pi\)
\(644\) 26.2911 + 1.49767i 1.03602 + 0.0590166i
\(645\) 43.0113 4.04657i 1.69357 0.159333i
\(646\) 13.3629 12.6233i 0.525756 0.496659i
\(647\) 14.3883i 0.565662i 0.959170 + 0.282831i \(0.0912735\pi\)
−0.959170 + 0.282831i \(0.908726\pi\)
\(648\) 24.3939 7.27589i 0.958282 0.285824i
\(649\) 21.3897i 0.839619i
\(650\) −0.339234 0.359109i −0.0133059 0.0140854i
\(651\) −38.2120 + 3.59504i −1.49765 + 0.140901i
\(652\) 7.23429 6.45450i 0.283316 0.252778i
\(653\) −5.91845 22.0879i −0.231607 0.864368i −0.979649 0.200717i \(-0.935673\pi\)
0.748043 0.663651i \(-0.230994\pi\)
\(654\) 27.9773 + 24.5402i 1.09400 + 0.959599i
\(655\) −1.81542 3.14441i −0.0709345 0.122862i
\(656\) −30.2499 22.4006i −1.18106 0.874598i
\(657\) −0.0142362 0.0749890i −0.000555406 0.00292560i
\(658\) −2.39425 1.47469i −0.0933377 0.0574895i
\(659\) −21.4351 5.74352i −0.834993 0.223736i −0.184102 0.982907i \(-0.558938\pi\)
−0.650891 + 0.759172i \(0.725604\pi\)
\(660\) −28.1311 + 1.03856i −1.09500 + 0.0404260i
\(661\) −16.0487 + 4.30024i −0.624223 + 0.167260i −0.557047 0.830481i \(-0.688066\pi\)
−0.0671760 + 0.997741i \(0.521399\pi\)
\(662\) −0.447854 + 1.49941i −0.0174063 + 0.0582763i
\(663\) 4.00008 1.48560i 0.155350 0.0576960i
\(664\) 25.7483 + 9.31593i 0.999228 + 0.361528i
\(665\) 54.0966i 2.09778i
\(666\) −12.6268 9.13384i −0.489278 0.353929i
\(667\) −1.72006 1.72006i −0.0666010 0.0666010i
\(668\) −13.9092 9.12284i −0.538162 0.352973i
\(669\) 16.6497 11.8212i 0.643714 0.457035i
\(670\) 6.40350 + 11.8579i 0.247389 + 0.458112i
\(671\) 7.14169 12.3698i 0.275702 0.477529i
\(672\) −13.8218 26.8668i −0.533188 1.03641i
\(673\) −8.32057 14.4116i −0.320734 0.555528i 0.659905 0.751349i \(-0.270596\pi\)
−0.980640 + 0.195821i \(0.937263\pi\)
\(674\) −17.9774 + 29.1873i −0.692462 + 1.12425i
\(675\) 0.900833 + 0.866166i 0.0346731 + 0.0333387i
\(676\) 19.4517 9.80007i 0.748143 0.376926i
\(677\) −3.57166 + 13.3296i −0.137270 + 0.512298i 0.862708 + 0.505702i \(0.168766\pi\)
−0.999978 + 0.00659653i \(0.997900\pi\)
\(678\) 30.3534 + 14.9723i 1.16572 + 0.575008i
\(679\) 23.0346 + 13.2990i 0.883985 + 0.510369i
\(680\) 10.8121 1.92778i 0.414625 0.0739270i
\(681\) 7.69383 45.3666i 0.294828 1.73845i
\(682\) 24.7728 + 26.2241i 0.948599 + 1.00417i
\(683\) 32.4757 + 32.4757i 1.24265 + 1.24265i 0.958898 + 0.283751i \(0.0915788\pi\)
0.283751 + 0.958898i \(0.408421\pi\)
\(684\) 27.9977 36.4727i 1.07052 1.39457i
\(685\) 24.1504 24.1504i 0.922737 0.922737i
\(686\) −0.557150 + 19.5770i −0.0212721 + 0.747452i
\(687\) 10.2691 + 27.6501i 0.391789 + 1.05492i
\(688\) 15.9875 40.5439i 0.609519 1.54572i
\(689\) −7.80481 + 13.5183i −0.297339 + 0.515007i
\(690\) −4.67328 + 23.4824i −0.177909 + 0.893958i
\(691\) 39.0522 + 10.4640i 1.48562 + 0.398070i 0.908254 0.418419i \(-0.137416\pi\)
0.577362 + 0.816489i \(0.304082\pi\)
\(692\) −1.07891 0.355986i −0.0410139 0.0135326i
\(693\) −14.2666 29.5786i −0.541943 1.12360i
\(694\) −7.03529 + 1.67213i −0.267056 + 0.0634732i
\(695\) 24.8996 14.3758i 0.944496 0.545305i
\(696\) −0.699542 + 2.70185i −0.0265161 + 0.102413i
\(697\) 13.8231 + 7.98079i 0.523588 + 0.302294i
\(698\) 8.59487 + 2.56717i 0.325320 + 0.0971688i
\(699\) −3.80465 + 0.357947i −0.143905 + 0.0135388i
\(700\) 0.813493 1.24029i 0.0307471 0.0468787i
\(701\) 8.81145 8.81145i 0.332804 0.332804i −0.520847 0.853650i \(-0.674384\pi\)
0.853650 + 0.520847i \(0.174384\pi\)
\(702\) 9.28992 5.25466i 0.350626 0.198324i
\(703\) −28.1487 −1.06165
\(704\) −11.9033 + 25.7835i −0.448622 + 0.971753i
\(705\) 1.63055 1.96922i 0.0614101 0.0741652i
\(706\) 8.28088 + 15.3345i 0.311655 + 0.577120i
\(707\) −10.1868 38.0178i −0.383116 1.42981i
\(708\) −6.14255 19.9489i −0.230851 0.749727i
\(709\) 2.50097 9.33375i 0.0939260 0.350537i −0.902928 0.429791i \(-0.858587\pi\)
0.996854 + 0.0792544i \(0.0252539\pi\)
\(710\) 3.60637 + 15.1734i 0.135345 + 0.569447i
\(711\) −30.9757 35.9500i −1.16168 1.34823i
\(712\) −0.311199 + 3.63706i −0.0116627 + 0.136305i
\(713\) 26.5723 15.3415i 0.995139 0.574544i
\(714\) 7.11697 + 10.6535i 0.266346 + 0.398698i
\(715\) −11.4006 + 3.05479i −0.426359 + 0.114242i
\(716\) 0.941119 0.839676i 0.0351713 0.0313802i
\(717\) −13.3836 6.13464i −0.499818 0.229102i
\(718\) 1.03731 36.4487i 0.0387121 1.36025i
\(719\) 17.6869 0.659611 0.329805 0.944049i \(-0.393017\pi\)
0.329805 + 0.944049i \(0.393017\pi\)
\(720\) 25.9380 9.04712i 0.966654 0.337166i
\(721\) 2.76922 0.103131
\(722\) 1.59823 56.1581i 0.0594798 2.08999i
\(723\) −25.6858 + 18.2368i −0.955264 + 0.678235i
\(724\) 17.1066 + 19.1733i 0.635761 + 0.712569i
\(725\) −0.132346 + 0.0354620i −0.00491521 + 0.00131703i
\(726\) −1.73506 + 3.51749i −0.0643940 + 0.130546i
\(727\) −32.8260 + 18.9521i −1.21745 + 0.702894i −0.964371 0.264552i \(-0.914776\pi\)
−0.253077 + 0.967446i \(0.581443\pi\)
\(728\) −8.16132 9.68861i −0.302479 0.359084i
\(729\) −22.8352 + 14.4068i −0.845747 + 0.533584i
\(730\) −0.0190468 0.0801371i −0.000704952 0.00296601i
\(731\) −4.78321 + 17.8512i −0.176914 + 0.660250i
\(732\) −3.10837 + 13.5875i −0.114889 + 0.502207i
\(733\) −10.2081 38.0971i −0.377044 1.40715i −0.850335 0.526242i \(-0.823601\pi\)
0.473291 0.880906i \(-0.343066\pi\)
\(734\) −2.32136 4.29868i −0.0856831 0.158667i
\(735\) 9.80844 + 1.66344i 0.361790 + 0.0613568i
\(736\) 18.9944 + 14.9207i 0.700143 + 0.549986i
\(737\) 14.7768 0.544311
\(738\) 37.3022 + 14.2301i 1.37311 + 0.523816i
\(739\) −4.56683 + 4.56683i −0.167993 + 0.167993i −0.786097 0.618103i \(-0.787901\pi\)
0.618103 + 0.786097i \(0.287901\pi\)
\(740\) −14.0626 9.22344i −0.516950 0.339060i
\(741\) 8.03291 17.5249i 0.295096 0.643794i
\(742\) −44.9084 13.4135i −1.64864 0.492426i
\(743\) 10.7721 + 6.21930i 0.395192 + 0.228164i 0.684407 0.729100i \(-0.260061\pi\)
−0.289216 + 0.957264i \(0.593394\pi\)
\(744\) −30.6350 17.3436i −1.12313 0.635849i
\(745\) −30.6628 + 17.7032i −1.12340 + 0.648593i
\(746\) 24.6928 5.86892i 0.904069 0.214877i
\(747\) −28.9629 2.15267i −1.05970 0.0787620i
\(748\) 3.77329 11.4359i 0.137965 0.418138i
\(749\) −14.4744 3.87840i −0.528882 0.141714i
\(750\) −20.0637 17.5988i −0.732624 0.642619i
\(751\) −6.54573 + 11.3375i −0.238857 + 0.413713i −0.960387 0.278671i \(-0.910106\pi\)
0.721530 + 0.692384i \(0.243439\pi\)
\(752\) −1.02760 2.36566i −0.0374729 0.0862667i
\(753\) 6.90946 8.34458i 0.251795 0.304093i
\(754\) −0.0332891 + 1.16970i −0.00121232 + 0.0425981i
\(755\) 2.70966 2.70966i 0.0986148 0.0986148i
\(756\) 21.7998 + 23.4893i 0.792851 + 0.854297i
\(757\) −6.71290 6.71290i −0.243985 0.243985i 0.574512 0.818496i \(-0.305192\pi\)
−0.818496 + 0.574512i \(0.805192\pi\)
\(758\) 27.4112 + 29.0172i 0.995621 + 1.05395i
\(759\) 20.2210 + 16.7433i 0.733974 + 0.607743i
\(760\) 28.3824 40.6996i 1.02954 1.47633i
\(761\) 2.25713 + 1.30315i 0.0818208 + 0.0472393i 0.540352 0.841439i \(-0.318291\pi\)
−0.458531 + 0.888678i \(0.651624\pi\)
\(762\) 1.77171 + 27.0710i 0.0641823 + 0.980679i
\(763\) −12.1257 + 45.2538i −0.438980 + 1.63830i
\(764\) −12.5347 24.8795i −0.453489 0.900109i
\(765\) −10.4921 + 5.06065i −0.379344 + 0.182968i
\(766\) −8.72653 + 14.1681i −0.315302 + 0.511913i
\(767\) −4.37583 7.57916i −0.158002 0.273668i
\(768\) 3.69716 27.4651i 0.133410 0.991061i
\(769\) 16.7811 29.0657i 0.605142 1.04814i −0.386887 0.922127i \(-0.626450\pi\)
0.992029 0.126010i \(-0.0402170\pi\)
\(770\) −16.8390 31.1824i −0.606837 1.12373i
\(771\) −1.36382 0.625135i −0.0491167 0.0225137i
\(772\) −1.45826 + 2.22335i −0.0524841 + 0.0800200i