Properties

Label 273.2.cg.a.19.5
Level $273$
Weight $2$
Character 273.19
Analytic conductor $2.180$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 273 = 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 273.cg (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.17991597518\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(9\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 19.5
Character \(\chi\) \(=\) 273.19
Dual form 273.2.cg.a.115.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.511829 - 0.137144i) q^{2} -1.00000i q^{3} +(-1.48889 - 0.859611i) q^{4} +(-2.03763 + 0.545981i) q^{5} +(-0.137144 + 0.511829i) q^{6} +(0.917679 + 2.48150i) q^{7} +(1.39354 + 1.39354i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.511829 - 0.137144i) q^{2} -1.00000i q^{3} +(-1.48889 - 0.859611i) q^{4} +(-2.03763 + 0.545981i) q^{5} +(-0.137144 + 0.511829i) q^{6} +(0.917679 + 2.48150i) q^{7} +(1.39354 + 1.39354i) q^{8} -1.00000 q^{9} +1.11780 q^{10} +(-2.03793 - 2.03793i) q^{11} +(-0.859611 + 1.48889i) q^{12} +(-2.80107 + 2.27024i) q^{13} +(-0.129371 - 1.39596i) q^{14} +(0.545981 + 2.03763i) q^{15} +(1.19709 + 2.07341i) q^{16} +(-1.64880 + 2.85581i) q^{17} +(0.511829 + 0.137144i) q^{18} +(4.78288 + 4.78288i) q^{19} +(3.50314 + 0.938663i) q^{20} +(2.48150 - 0.917679i) q^{21} +(0.763581 + 1.32256i) q^{22} +(-6.79410 + 3.92258i) q^{23} +(1.39354 - 1.39354i) q^{24} +(-0.476290 + 0.274986i) q^{25} +(1.74502 - 0.777826i) q^{26} +1.00000i q^{27} +(0.766806 - 4.48354i) q^{28} +(0.677462 - 1.17340i) q^{29} -1.11780i q^{30} +(1.71085 - 6.38499i) q^{31} +(-1.34849 - 5.03262i) q^{32} +(-2.03793 + 2.03793i) q^{33} +(1.23556 - 1.23556i) q^{34} +(-3.22474 - 4.55535i) q^{35} +(1.48889 + 0.859611i) q^{36} +(1.05363 - 3.93218i) q^{37} +(-1.79207 - 3.10396i) q^{38} +(2.27024 + 2.80107i) q^{39} +(-3.60036 - 2.07867i) q^{40} +(-6.61712 + 1.77305i) q^{41} +(-1.39596 + 0.129371i) q^{42} +(-4.36301 + 2.51899i) q^{43} +(1.28243 + 4.78608i) q^{44} +(2.03763 - 0.545981i) q^{45} +(4.01538 - 1.07592i) q^{46} +(-0.947124 - 3.53471i) q^{47} +(2.07341 - 1.19709i) q^{48} +(-5.31573 + 4.55445i) q^{49} +(0.281492 - 0.0754255i) q^{50} +(2.85581 + 1.64880i) q^{51} +(6.12201 - 0.972311i) q^{52} +(-3.87961 - 6.71968i) q^{53} +(0.137144 - 0.511829i) q^{54} +(5.26521 + 3.03987i) q^{55} +(-2.17925 + 4.73689i) q^{56} +(4.78288 - 4.78288i) q^{57} +(-0.507670 + 0.507670i) q^{58} +(0.737061 + 2.75075i) q^{59} +(0.938663 - 3.50314i) q^{60} -3.63687i q^{61} +(-1.75133 + 3.03339i) q^{62} +(-0.917679 - 2.48150i) q^{63} -2.02756i q^{64} +(4.46803 - 6.15525i) q^{65} +(1.32256 - 0.763581i) q^{66} +(-1.33686 + 1.33686i) q^{67} +(4.90977 - 2.83466i) q^{68} +(3.92258 + 6.79410i) q^{69} +(1.02578 + 2.77382i) q^{70} +(-9.87427 - 2.64580i) q^{71} +(-1.39354 - 1.39354i) q^{72} +(6.80337 + 1.82296i) q^{73} +(-1.07855 + 1.86811i) q^{74} +(0.274986 + 0.476290i) q^{75} +(-3.00977 - 11.2326i) q^{76} +(3.18696 - 6.92729i) q^{77} +(-0.777826 - 1.74502i) q^{78} +(-1.13108 + 1.95909i) q^{79} +(-3.57126 - 3.57126i) q^{80} +1.00000 q^{81} +3.63000 q^{82} +(3.97225 + 3.97225i) q^{83} +(-4.48354 - 0.766806i) q^{84} +(1.80043 - 6.71929i) q^{85} +(2.57858 - 0.690929i) q^{86} +(-1.17340 - 0.677462i) q^{87} -5.67985i q^{88} +(11.9316 + 3.19707i) q^{89} -1.11780 q^{90} +(-8.20410 - 4.86751i) q^{91} +13.4876 q^{92} +(-6.38499 - 1.71085i) q^{93} +1.93906i q^{94} +(-12.3571 - 7.13438i) q^{95} +(-5.03262 + 1.34849i) q^{96} +(-3.94107 + 14.7083i) q^{97} +(3.34536 - 1.60208i) q^{98} +(2.03793 + 2.03793i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q + 4q^{7} - 36q^{9} + O(q^{10}) \) \( 36q + 4q^{7} - 36q^{9} + 4q^{11} + 16q^{12} + 42q^{14} + 12q^{16} - 4q^{17} - 24q^{19} - 14q^{20} + 4q^{22} - 12q^{23} - 24q^{25} - 28q^{26} - 12q^{28} + 8q^{29} - 6q^{31} + 46q^{32} + 4q^{33} + 24q^{34} - 10q^{35} - 20q^{37} + 8q^{38} - 2q^{39} - 30q^{40} - 34q^{41} + 24q^{42} + 30q^{43} - 32q^{44} - 26q^{46} + 4q^{47} - 24q^{48} - 20q^{50} + 24q^{51} + 98q^{52} - 8q^{53} + 30q^{55} - 10q^{56} - 24q^{57} - 96q^{58} - 14q^{59} - 46q^{60} + 48q^{62} - 4q^{63} + 28q^{65} + 18q^{66} + 62q^{67} - 54q^{68} - 4q^{69} - 148q^{70} + 42q^{71} - 52q^{73} - 20q^{74} - 10q^{75} - 12q^{76} - 24q^{77} - 16q^{78} + 76q^{80} + 36q^{81} + 48q^{82} + 60q^{83} + 50q^{84} + 2q^{85} + 12q^{86} + 18q^{87} + 50q^{89} + 40q^{91} - 100q^{92} - 6q^{93} + 24q^{95} - 4q^{96} - 36q^{97} + 16q^{98} - 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/273\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(106\) \(157\)
\(\chi(n)\) \(1\) \(e\left(\frac{5}{12}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.511829 0.137144i −0.361918 0.0969756i 0.0732776 0.997312i \(-0.476654\pi\)
−0.435196 + 0.900336i \(0.643321\pi\)
\(3\) 1.00000i 0.577350i
\(4\) −1.48889 0.859611i −0.744445 0.429806i
\(5\) −2.03763 + 0.545981i −0.911255 + 0.244170i −0.683844 0.729629i \(-0.739693\pi\)
−0.227412 + 0.973799i \(0.573026\pi\)
\(6\) −0.137144 + 0.511829i −0.0559889 + 0.208953i
\(7\) 0.917679 + 2.48150i 0.346850 + 0.937921i
\(8\) 1.39354 + 1.39354i 0.492690 + 0.492690i
\(9\) −1.00000 −0.333333
\(10\) 1.11780 0.353478
\(11\) −2.03793 2.03793i −0.614458 0.614458i 0.329646 0.944105i \(-0.393071\pi\)
−0.944105 + 0.329646i \(0.893071\pi\)
\(12\) −0.859611 + 1.48889i −0.248148 + 0.429806i
\(13\) −2.80107 + 2.27024i −0.776877 + 0.629652i
\(14\) −0.129371 1.39596i −0.0345758 0.373086i
\(15\) 0.545981 + 2.03763i 0.140972 + 0.526114i
\(16\) 1.19709 + 2.07341i 0.299271 + 0.518353i
\(17\) −1.64880 + 2.85581i −0.399893 + 0.692635i −0.993712 0.111963i \(-0.964286\pi\)
0.593819 + 0.804599i \(0.297619\pi\)
\(18\) 0.511829 + 0.137144i 0.120639 + 0.0323252i
\(19\) 4.78288 + 4.78288i 1.09727 + 1.09727i 0.994729 + 0.102539i \(0.0326968\pi\)
0.102539 + 0.994729i \(0.467303\pi\)
\(20\) 3.50314 + 0.938663i 0.783325 + 0.209891i
\(21\) 2.48150 0.917679i 0.541509 0.200254i
\(22\) 0.763581 + 1.32256i 0.162796 + 0.281971i
\(23\) −6.79410 + 3.92258i −1.41667 + 0.817914i −0.996005 0.0893026i \(-0.971536\pi\)
−0.420664 + 0.907217i \(0.638203\pi\)
\(24\) 1.39354 1.39354i 0.284454 0.284454i
\(25\) −0.476290 + 0.274986i −0.0952579 + 0.0549972i
\(26\) 1.74502 0.777826i 0.342227 0.152544i
\(27\) 1.00000i 0.192450i
\(28\) 0.766806 4.48354i 0.144913 0.847308i
\(29\) 0.677462 1.17340i 0.125802 0.217895i −0.796244 0.604975i \(-0.793183\pi\)
0.922046 + 0.387080i \(0.126516\pi\)
\(30\) 1.11780i 0.204081i
\(31\) 1.71085 6.38499i 0.307278 1.14678i −0.623688 0.781673i \(-0.714366\pi\)
0.930966 0.365105i \(-0.118967\pi\)
\(32\) −1.34849 5.03262i −0.238381 0.889650i
\(33\) −2.03793 + 2.03793i −0.354758 + 0.354758i
\(34\) 1.23556 1.23556i 0.211897 0.211897i
\(35\) −3.22474 4.55535i −0.545081 0.769995i
\(36\) 1.48889 + 0.859611i 0.248148 + 0.143269i
\(37\) 1.05363 3.93218i 0.173215 0.646447i −0.823634 0.567122i \(-0.808057\pi\)
0.996849 0.0793250i \(-0.0252765\pi\)
\(38\) −1.79207 3.10396i −0.290713 0.503529i
\(39\) 2.27024 + 2.80107i 0.363530 + 0.448530i
\(40\) −3.60036 2.07867i −0.569266 0.328666i
\(41\) −6.61712 + 1.77305i −1.03342 + 0.276904i −0.735384 0.677651i \(-0.762998\pi\)
−0.298036 + 0.954555i \(0.596332\pi\)
\(42\) −1.39596 + 0.129371i −0.215401 + 0.0199624i
\(43\) −4.36301 + 2.51899i −0.665353 + 0.384142i −0.794314 0.607508i \(-0.792169\pi\)
0.128961 + 0.991650i \(0.458836\pi\)
\(44\) 1.28243 + 4.78608i 0.193333 + 0.721528i
\(45\) 2.03763 0.545981i 0.303752 0.0813901i
\(46\) 4.01538 1.07592i 0.592035 0.158635i
\(47\) −0.947124 3.53471i −0.138152 0.515591i −0.999965 0.00836456i \(-0.997337\pi\)
0.861813 0.507226i \(-0.169329\pi\)
\(48\) 2.07341 1.19709i 0.299271 0.172784i
\(49\) −5.31573 + 4.55445i −0.759390 + 0.650636i
\(50\) 0.281492 0.0754255i 0.0398089 0.0106668i
\(51\) 2.85581 + 1.64880i 0.399893 + 0.230878i
\(52\) 6.12201 0.972311i 0.848970 0.134835i
\(53\) −3.87961 6.71968i −0.532905 0.923019i −0.999262 0.0384223i \(-0.987767\pi\)
0.466356 0.884597i \(-0.345567\pi\)
\(54\) 0.137144 0.511829i 0.0186630 0.0696511i
\(55\) 5.26521 + 3.03987i 0.709961 + 0.409896i
\(56\) −2.17925 + 4.73689i −0.291214 + 0.632993i
\(57\) 4.78288 4.78288i 0.633508 0.633508i
\(58\) −0.507670 + 0.507670i −0.0666603 + 0.0666603i
\(59\) 0.737061 + 2.75075i 0.0959571 + 0.358117i 0.997163 0.0752747i \(-0.0239834\pi\)
−0.901206 + 0.433392i \(0.857317\pi\)
\(60\) 0.938663 3.50314i 0.121181 0.452253i
\(61\) 3.63687i 0.465653i −0.972518 0.232827i \(-0.925203\pi\)
0.972518 0.232827i \(-0.0747975\pi\)
\(62\) −1.75133 + 3.03339i −0.222419 + 0.385241i
\(63\) −0.917679 2.48150i −0.115617 0.312640i
\(64\) 2.02756i 0.253445i
\(65\) 4.46803 6.15525i 0.554191 0.763464i
\(66\) 1.32256 0.763581i 0.162796 0.0939903i
\(67\) −1.33686 + 1.33686i −0.163324 + 0.163324i −0.784037 0.620714i \(-0.786843\pi\)
0.620714 + 0.784037i \(0.286843\pi\)
\(68\) 4.90977 2.83466i 0.595397 0.343753i
\(69\) 3.92258 + 6.79410i 0.472223 + 0.817914i
\(70\) 1.02578 + 2.77382i 0.122604 + 0.331534i
\(71\) −9.87427 2.64580i −1.17186 0.313999i −0.380167 0.924918i \(-0.624134\pi\)
−0.791693 + 0.610919i \(0.790800\pi\)
\(72\) −1.39354 1.39354i −0.164230 0.164230i
\(73\) 6.80337 + 1.82296i 0.796274 + 0.213361i 0.633947 0.773376i \(-0.281434\pi\)
0.162326 + 0.986737i \(0.448100\pi\)
\(74\) −1.07855 + 1.86811i −0.125379 + 0.217163i
\(75\) 0.274986 + 0.476290i 0.0317526 + 0.0549972i
\(76\) −3.00977 11.2326i −0.345244 1.28847i
\(77\) 3.18696 6.92729i 0.363188 0.789438i
\(78\) −0.777826 1.74502i −0.0880715 0.197585i
\(79\) −1.13108 + 1.95909i −0.127256 + 0.220414i −0.922613 0.385728i \(-0.873950\pi\)
0.795356 + 0.606142i \(0.207284\pi\)
\(80\) −3.57126 3.57126i −0.399279 0.399279i
\(81\) 1.00000 0.111111
\(82\) 3.63000 0.400866
\(83\) 3.97225 + 3.97225i 0.436011 + 0.436011i 0.890667 0.454656i \(-0.150238\pi\)
−0.454656 + 0.890667i \(0.650238\pi\)
\(84\) −4.48354 0.766806i −0.489194 0.0836654i
\(85\) 1.80043 6.71929i 0.195284 0.728810i
\(86\) 2.57858 0.690929i 0.278056 0.0745048i
\(87\) −1.17340 0.677462i −0.125802 0.0726316i
\(88\) 5.67985i 0.605475i
\(89\) 11.9316 + 3.19707i 1.26475 + 0.338889i 0.828017 0.560703i \(-0.189469\pi\)
0.436732 + 0.899591i \(0.356136\pi\)
\(90\) −1.11780 −0.117826
\(91\) −8.20410 4.86751i −0.860024 0.510254i
\(92\) 13.4876 1.40618
\(93\) −6.38499 1.71085i −0.662093 0.177407i
\(94\) 1.93906i 0.199999i
\(95\) −12.3571 7.13438i −1.26781 0.731972i
\(96\) −5.03262 + 1.34849i −0.513640 + 0.137629i
\(97\) −3.94107 + 14.7083i −0.400155 + 1.49340i 0.412664 + 0.910883i \(0.364598\pi\)
−0.812819 + 0.582516i \(0.802068\pi\)
\(98\) 3.34536 1.60208i 0.337933 0.161834i
\(99\) 2.03793 + 2.03793i 0.204819 + 0.204819i
\(100\) 0.945524 0.0945524
\(101\) 8.37472 0.833316 0.416658 0.909063i \(-0.363201\pi\)
0.416658 + 0.909063i \(0.363201\pi\)
\(102\) −1.23556 1.23556i −0.122339 0.122339i
\(103\) −3.94643 + 6.83541i −0.388853 + 0.673513i −0.992296 0.123893i \(-0.960462\pi\)
0.603442 + 0.797407i \(0.293795\pi\)
\(104\) −7.06706 0.739728i −0.692982 0.0725363i
\(105\) −4.55535 + 3.22474i −0.444557 + 0.314703i
\(106\) 1.06413 + 3.97140i 0.103358 + 0.385736i
\(107\) 10.0079 + 17.3341i 0.967497 + 1.67575i 0.702751 + 0.711436i \(0.251955\pi\)
0.264746 + 0.964318i \(0.414712\pi\)
\(108\) 0.859611 1.48889i 0.0827161 0.143269i
\(109\) 6.75874 + 1.81100i 0.647370 + 0.173462i 0.567539 0.823346i \(-0.307895\pi\)
0.0798304 + 0.996808i \(0.474562\pi\)
\(110\) −2.27799 2.27799i −0.217198 0.217198i
\(111\) −3.93218 1.05363i −0.373226 0.100006i
\(112\) −4.04664 + 4.87330i −0.382372 + 0.460483i
\(113\) 2.05899 + 3.56627i 0.193693 + 0.335486i 0.946471 0.322788i \(-0.104620\pi\)
−0.752778 + 0.658274i \(0.771287\pi\)
\(114\) −3.10396 + 1.79207i −0.290713 + 0.167843i
\(115\) 11.7022 11.7022i 1.09124 1.09124i
\(116\) −2.01733 + 1.16471i −0.187305 + 0.108140i
\(117\) 2.80107 2.27024i 0.258959 0.209884i
\(118\) 1.50900i 0.138914i
\(119\) −8.59977 1.47079i −0.788340 0.134827i
\(120\) −2.07867 + 3.60036i −0.189755 + 0.328666i
\(121\) 2.69370i 0.244882i
\(122\) −0.498775 + 1.86145i −0.0451570 + 0.168528i
\(123\) 1.77305 + 6.61712i 0.159871 + 0.596645i
\(124\) −8.03588 + 8.03588i −0.721643 + 0.721643i
\(125\) 8.27861 8.27861i 0.740461 0.740461i
\(126\) 0.129371 + 1.39596i 0.0115253 + 0.124362i
\(127\) −15.0417 8.68434i −1.33474 0.770611i −0.348716 0.937229i \(-0.613382\pi\)
−0.986022 + 0.166618i \(0.946715\pi\)
\(128\) −2.97504 + 11.1030i −0.262959 + 0.981376i
\(129\) 2.51899 + 4.36301i 0.221784 + 0.384142i
\(130\) −3.13103 + 2.53767i −0.274609 + 0.222568i
\(131\) 6.59348 + 3.80675i 0.576075 + 0.332597i 0.759572 0.650423i \(-0.225408\pi\)
−0.183497 + 0.983020i \(0.558742\pi\)
\(132\) 4.78608 1.28243i 0.416575 0.111621i
\(133\) −7.47959 + 16.2579i −0.648563 + 1.40974i
\(134\) 0.867588 0.500902i 0.0749482 0.0432714i
\(135\) −0.545981 2.03763i −0.0469906 0.175371i
\(136\) −6.27734 + 1.68201i −0.538277 + 0.144231i
\(137\) −15.1843 + 4.06862i −1.29728 + 0.347606i −0.840422 0.541933i \(-0.817693\pi\)
−0.456860 + 0.889538i \(0.651026\pi\)
\(138\) −1.07592 4.01538i −0.0915882 0.341812i
\(139\) −16.0562 + 9.27005i −1.36187 + 0.786275i −0.989873 0.141959i \(-0.954660\pi\)
−0.371996 + 0.928234i \(0.621326\pi\)
\(140\) 0.885460 + 9.55444i 0.0748350 + 0.807498i
\(141\) −3.53471 + 0.947124i −0.297677 + 0.0797622i
\(142\) 4.69109 + 2.70840i 0.393667 + 0.227284i
\(143\) 10.3350 + 1.08179i 0.864254 + 0.0904637i
\(144\) −1.19709 2.07341i −0.0997571 0.172784i
\(145\) −0.739763 + 2.76083i −0.0614340 + 0.229275i
\(146\) −3.23215 1.86608i −0.267495 0.154438i
\(147\) 4.55445 + 5.31573i 0.375645 + 0.438434i
\(148\) −4.94888 + 4.94888i −0.406795 + 0.406795i
\(149\) 15.6133 15.6133i 1.27909 1.27909i 0.337917 0.941176i \(-0.390278\pi\)
0.941176 0.337917i \(-0.109722\pi\)
\(150\) −0.0754255 0.281492i −0.00615846 0.0229837i
\(151\) 4.61110 17.2088i 0.375246 1.40044i −0.477740 0.878501i \(-0.658544\pi\)
0.852986 0.521935i \(-0.174789\pi\)
\(152\) 13.3302i 1.08123i
\(153\) 1.64880 2.85581i 0.133298 0.230878i
\(154\) −2.58122 + 3.10852i −0.208001 + 0.250491i
\(155\) 13.9443i 1.12004i
\(156\) −0.972311 6.12201i −0.0778472 0.490153i
\(157\) 3.29871 1.90451i 0.263265 0.151996i −0.362558 0.931961i \(-0.618096\pi\)
0.625823 + 0.779965i \(0.284763\pi\)
\(158\) 0.847596 0.847596i 0.0674311 0.0674311i
\(159\) −6.71968 + 3.87961i −0.532905 + 0.307673i
\(160\) 5.49543 + 9.51836i 0.434452 + 0.752493i
\(161\) −15.9687 13.2599i −1.25851 1.04503i
\(162\) −0.511829 0.137144i −0.0402131 0.0107751i
\(163\) −5.61169 5.61169i −0.439541 0.439541i 0.452316 0.891858i \(-0.350598\pi\)
−0.891858 + 0.452316i \(0.850598\pi\)
\(164\) 11.3763 + 3.04827i 0.888339 + 0.238030i
\(165\) 3.03987 5.26521i 0.236654 0.409896i
\(166\) −1.48834 2.57788i −0.115518 0.200082i
\(167\) 2.98897 + 11.1550i 0.231294 + 0.863200i 0.979785 + 0.200055i \(0.0641120\pi\)
−0.748491 + 0.663145i \(0.769221\pi\)
\(168\) 4.73689 + 2.17925i 0.365459 + 0.168133i
\(169\) 2.69199 12.7182i 0.207076 0.978325i
\(170\) −1.84302 + 3.19221i −0.141354 + 0.244832i
\(171\) −4.78288 4.78288i −0.365756 0.365756i
\(172\) 8.66139 0.660425
\(173\) 19.0583 1.44897 0.724486 0.689289i \(-0.242077\pi\)
0.724486 + 0.689289i \(0.242077\pi\)
\(174\) 0.507670 + 0.507670i 0.0384864 + 0.0384864i
\(175\) −1.11946 0.929566i −0.0846232 0.0702686i
\(176\) 1.78589 6.66504i 0.134617 0.502396i
\(177\) 2.75075 0.737061i 0.206759 0.0554009i
\(178\) −5.66849 3.27271i −0.424872 0.245300i
\(179\) 10.8477i 0.810799i 0.914140 + 0.405399i \(0.132868\pi\)
−0.914140 + 0.405399i \(0.867132\pi\)
\(180\) −3.50314 0.938663i −0.261108 0.0699638i
\(181\) 5.71631 0.424890 0.212445 0.977173i \(-0.431857\pi\)
0.212445 + 0.977173i \(0.431857\pi\)
\(182\) 3.53155 + 3.61648i 0.261776 + 0.268071i
\(183\) −3.63687 −0.268845
\(184\) −14.9341 4.00158i −1.10096 0.295000i
\(185\) 8.58759i 0.631372i
\(186\) 3.03339 + 1.75133i 0.222419 + 0.128414i
\(187\) 9.18007 2.45979i 0.671313 0.179878i
\(188\) −1.62832 + 6.07696i −0.118757 + 0.443208i
\(189\) −2.48150 + 0.917679i −0.180503 + 0.0667513i
\(190\) 5.34629 + 5.34629i 0.387860 + 0.387860i
\(191\) −23.0051 −1.66459 −0.832294 0.554335i \(-0.812973\pi\)
−0.832294 + 0.554335i \(0.812973\pi\)
\(192\) −2.02756 −0.146327
\(193\) −3.52631 3.52631i −0.253829 0.253829i 0.568709 0.822539i \(-0.307443\pi\)
−0.822539 + 0.568709i \(0.807443\pi\)
\(194\) 4.03431 6.98763i 0.289647 0.501683i
\(195\) −6.15525 4.46803i −0.440786 0.319963i
\(196\) 11.8296 2.21161i 0.844971 0.157972i
\(197\) 1.17127 + 4.37125i 0.0834496 + 0.311438i 0.995016 0.0997145i \(-0.0317929\pi\)
−0.911566 + 0.411153i \(0.865126\pi\)
\(198\) −0.763581 1.32256i −0.0542653 0.0939903i
\(199\) −10.9036 + 18.8855i −0.772934 + 1.33876i 0.163015 + 0.986624i \(0.447878\pi\)
−0.935949 + 0.352137i \(0.885455\pi\)
\(200\) −1.04693 0.280524i −0.0740292 0.0198361i
\(201\) 1.33686 + 1.33686i 0.0942950 + 0.0942950i
\(202\) −4.28643 1.14855i −0.301592 0.0808114i
\(203\) 3.53349 + 0.604322i 0.248002 + 0.0424151i
\(204\) −2.83466 4.90977i −0.198466 0.343753i
\(205\) 12.5152 7.22564i 0.874098 0.504661i
\(206\) 2.95733 2.95733i 0.206047 0.206047i
\(207\) 6.79410 3.92258i 0.472223 0.272638i
\(208\) −8.06027 3.09010i −0.558879 0.214260i
\(209\) 19.4943i 1.34845i
\(210\) 2.77382 1.02578i 0.191412 0.0707854i
\(211\) 5.12257 8.87255i 0.352652 0.610811i −0.634061 0.773283i \(-0.718613\pi\)
0.986713 + 0.162472i \(0.0519466\pi\)
\(212\) 13.3398i 0.916183i
\(213\) −2.64580 + 9.87427i −0.181288 + 0.676574i
\(214\) −2.74504 10.2446i −0.187647 0.700309i
\(215\) 7.51488 7.51488i 0.512511 0.512511i
\(216\) −1.39354 + 1.39354i −0.0948182 + 0.0948182i
\(217\) 17.4144 1.61388i 1.18217 0.109557i
\(218\) −3.21095 1.85384i −0.217473 0.125558i
\(219\) 1.82296 6.80337i 0.123184 0.459729i
\(220\) −5.22621 9.05207i −0.352351 0.610290i
\(221\) −1.86497 11.7425i −0.125451 0.789886i
\(222\) 1.86811 + 1.07855i 0.125379 + 0.0723877i
\(223\) 20.9821 5.62213i 1.40506 0.376486i 0.524904 0.851161i \(-0.324101\pi\)
0.880161 + 0.474675i \(0.157435\pi\)
\(224\) 11.2510 7.96460i 0.751738 0.532158i
\(225\) 0.476290 0.274986i 0.0317526 0.0183324i
\(226\) −0.564756 2.10770i −0.0375670 0.140202i
\(227\) −11.2825 + 3.02314i −0.748848 + 0.200653i −0.613007 0.790078i \(-0.710040\pi\)
−0.135841 + 0.990731i \(0.543374\pi\)
\(228\) −11.2326 + 3.00977i −0.743897 + 0.199327i
\(229\) −1.25682 4.69053i −0.0830532 0.309959i 0.911885 0.410445i \(-0.134627\pi\)
−0.994938 + 0.100487i \(0.967960\pi\)
\(230\) −7.59442 + 4.38464i −0.500761 + 0.289115i
\(231\) −6.92729 3.18696i −0.455782 0.209687i
\(232\) 2.57924 0.691106i 0.169336 0.0453733i
\(233\) −1.91696 1.10676i −0.125584 0.0725060i 0.435892 0.899999i \(-0.356433\pi\)
−0.561476 + 0.827493i \(0.689766\pi\)
\(234\) −1.74502 + 0.777826i −0.114076 + 0.0508481i
\(235\) 3.85977 + 6.68532i 0.251784 + 0.436102i
\(236\) 1.26717 4.72915i 0.0824858 0.307841i
\(237\) 1.95909 + 1.13108i 0.127256 + 0.0734715i
\(238\) 4.19990 + 1.93220i 0.272239 + 0.125246i
\(239\) −5.82013 + 5.82013i −0.376473 + 0.376473i −0.869828 0.493355i \(-0.835770\pi\)
0.493355 + 0.869828i \(0.335770\pi\)
\(240\) −3.57126 + 3.57126i −0.230524 + 0.230524i
\(241\) 3.76485 + 14.0506i 0.242515 + 0.905079i 0.974616 + 0.223883i \(0.0718733\pi\)
−0.732101 + 0.681196i \(0.761460\pi\)
\(242\) −0.369425 + 1.37871i −0.0237476 + 0.0886271i
\(243\) 1.00000i 0.0641500i
\(244\) −3.12629 + 5.41490i −0.200140 + 0.346653i
\(245\) 8.34484 12.1826i 0.533132 0.778316i
\(246\) 3.63000i 0.231440i
\(247\) −24.2555 2.53889i −1.54334 0.161545i
\(248\) 11.2819 6.51358i 0.716399 0.413613i
\(249\) 3.97225 3.97225i 0.251731 0.251731i
\(250\) −5.37259 + 3.10187i −0.339793 + 0.196179i
\(251\) −10.7479 18.6160i −0.678403 1.17503i −0.975462 0.220169i \(-0.929339\pi\)
0.297058 0.954859i \(-0.403994\pi\)
\(252\) −0.766806 + 4.48354i −0.0483042 + 0.282436i
\(253\) 21.8398 + 5.85196i 1.37306 + 0.367910i
\(254\) 6.50779 + 6.50779i 0.408335 + 0.408335i
\(255\) −6.71929 1.80043i −0.420779 0.112747i
\(256\) 1.01786 1.76299i 0.0636165 0.110187i
\(257\) −3.77139 6.53224i −0.235253 0.407470i 0.724093 0.689702i \(-0.242258\pi\)
−0.959346 + 0.282232i \(0.908925\pi\)
\(258\) −0.690929 2.57858i −0.0430153 0.160535i
\(259\) 10.7246 0.993906i 0.666395 0.0617583i
\(260\) −11.9435 + 5.32371i −0.740706 + 0.330163i
\(261\) −0.677462 + 1.17340i −0.0419339 + 0.0726316i
\(262\) −2.85266 2.85266i −0.176238 0.176238i
\(263\) 23.8379 1.46991 0.734955 0.678115i \(-0.237203\pi\)
0.734955 + 0.678115i \(0.237203\pi\)
\(264\) −5.67985 −0.349571
\(265\) 11.5740 + 11.5740i 0.710987 + 0.710987i
\(266\) 6.05795 7.29548i 0.371437 0.447315i
\(267\) 3.19707 11.9316i 0.195657 0.730203i
\(268\) 3.13962 0.841260i 0.191783 0.0513881i
\(269\) −23.9283 13.8150i −1.45893 0.842316i −0.459974 0.887932i \(-0.652141\pi\)
−0.998959 + 0.0456166i \(0.985475\pi\)
\(270\) 1.11780i 0.0680269i
\(271\) −19.9776 5.35298i −1.21355 0.325170i −0.405397 0.914141i \(-0.632867\pi\)
−0.808155 + 0.588970i \(0.799533\pi\)
\(272\) −7.89502 −0.478706
\(273\) −4.86751 + 8.20410i −0.294595 + 0.496535i
\(274\) 8.32976 0.503219
\(275\) 1.53105 + 0.410242i 0.0923255 + 0.0247386i
\(276\) 13.4876i 0.811856i
\(277\) 7.78035 + 4.49199i 0.467476 + 0.269897i 0.715183 0.698938i \(-0.246344\pi\)
−0.247707 + 0.968835i \(0.579677\pi\)
\(278\) 9.48936 2.54267i 0.569134 0.152499i
\(279\) −1.71085 + 6.38499i −0.102426 + 0.382259i
\(280\) 1.85425 10.8418i 0.110813 0.647924i
\(281\) 13.3221 + 13.3221i 0.794731 + 0.794731i 0.982259 0.187528i \(-0.0600476\pi\)
−0.187528 + 0.982259i \(0.560048\pi\)
\(282\) 1.93906 0.115469
\(283\) −19.3973 −1.15305 −0.576525 0.817080i \(-0.695592\pi\)
−0.576525 + 0.817080i \(0.695592\pi\)
\(284\) 12.4273 + 12.4273i 0.737427 + 0.737427i
\(285\) −7.13438 + 12.3571i −0.422604 + 0.731972i
\(286\) −5.14138 1.97107i −0.304016 0.116552i
\(287\) −10.4722 14.7933i −0.618156 0.873222i
\(288\) 1.34849 + 5.03262i 0.0794603 + 0.296550i
\(289\) 3.06290 + 5.30511i 0.180171 + 0.312065i
\(290\) 0.757265 1.31162i 0.0444681 0.0770210i
\(291\) 14.7083 + 3.94107i 0.862215 + 0.231030i
\(292\) −8.56243 8.56243i −0.501078 0.501078i
\(293\) 25.2467 + 6.76482i 1.47493 + 0.395205i 0.904617 0.426225i \(-0.140157\pi\)
0.570309 + 0.821431i \(0.306824\pi\)
\(294\) −1.60208 3.34536i −0.0934351 0.195105i
\(295\) −3.00371 5.20258i −0.174883 0.302906i
\(296\) 6.94791 4.01138i 0.403839 0.233156i
\(297\) 2.03793 2.03793i 0.118253 0.118253i
\(298\) −10.1326 + 5.85008i −0.586967 + 0.338886i
\(299\) 10.1256 26.4117i 0.585576 1.52743i
\(300\) 0.945524i 0.0545899i
\(301\) −10.2547 8.51521i −0.591072 0.490809i
\(302\) −4.72019 + 8.17560i −0.271616 + 0.470453i
\(303\) 8.37472i 0.481115i
\(304\) −4.19137 + 15.6424i −0.240391 + 0.897153i
\(305\) 1.98566 + 7.41059i 0.113699 + 0.424329i
\(306\) −1.23556 + 1.23556i −0.0706324 + 0.0706324i
\(307\) −1.58354 + 1.58354i −0.0903771 + 0.0903771i −0.750850 0.660473i \(-0.770356\pi\)
0.660473 + 0.750850i \(0.270356\pi\)
\(308\) −10.6998 + 7.57443i −0.609679 + 0.431593i
\(309\) 6.83541 + 3.94643i 0.388853 + 0.224504i
\(310\) 1.91239 7.13712i 0.108616 0.405361i
\(311\) 7.59574 + 13.1562i 0.430715 + 0.746020i 0.996935 0.0782342i \(-0.0249282\pi\)
−0.566220 + 0.824254i \(0.691595\pi\)
\(312\) −0.739728 + 7.06706i −0.0418788 + 0.400094i
\(313\) −2.66705 1.53982i −0.150750 0.0870358i 0.422727 0.906257i \(-0.361073\pi\)
−0.573478 + 0.819221i \(0.694406\pi\)
\(314\) −1.94957 + 0.522385i −0.110020 + 0.0294799i
\(315\) 3.22474 + 4.55535i 0.181694 + 0.256665i
\(316\) 3.36810 1.94458i 0.189471 0.109391i
\(317\) 2.12956 + 7.94761i 0.119608 + 0.446382i 0.999590 0.0286238i \(-0.00911247\pi\)
−0.879982 + 0.475006i \(0.842446\pi\)
\(318\) 3.97140 1.06413i 0.222705 0.0596736i
\(319\) −3.77192 + 1.01068i −0.211187 + 0.0565874i
\(320\) 1.10701 + 4.13142i 0.0618838 + 0.230953i
\(321\) 17.3341 10.0079i 0.967497 0.558585i
\(322\) 6.35472 + 8.97683i 0.354135 + 0.500259i
\(323\) −21.5450 + 5.77297i −1.19880 + 0.321217i
\(324\) −1.48889 0.859611i −0.0827161 0.0477562i
\(325\) 0.709836 1.85155i 0.0393746 0.102705i
\(326\) 2.10261 + 3.64184i 0.116453 + 0.201703i
\(327\) 1.81100 6.75874i 0.100148 0.373759i
\(328\) −11.6920 6.75038i −0.645583 0.372728i
\(329\) 7.90225 5.59402i 0.435665 0.308409i
\(330\) −2.27799 + 2.27799i −0.125399 + 0.125399i
\(331\) 15.5865 15.5865i 0.856711 0.856711i −0.134239 0.990949i \(-0.542859\pi\)
0.990949 + 0.134239i \(0.0428588\pi\)
\(332\) −2.49965 9.32883i −0.137186 0.511986i
\(333\) −1.05363 + 3.93218i −0.0577383 + 0.215482i
\(334\) 6.11937i 0.334837i
\(335\) 1.99413 3.45393i 0.108951 0.188709i
\(336\) 4.87330 + 4.04664i 0.265860 + 0.220762i
\(337\) 6.60942i 0.360038i −0.983663 0.180019i \(-0.942384\pi\)
0.983663 0.180019i \(-0.0576159\pi\)
\(338\) −3.12207 + 6.14037i −0.169818 + 0.333992i
\(339\) 3.56627 2.05899i 0.193693 0.111829i
\(340\) −8.45662 + 8.45662i −0.458625 + 0.458625i
\(341\) −16.4987 + 9.52556i −0.893457 + 0.515838i
\(342\) 1.79207 + 3.10396i 0.0969043 + 0.167843i
\(343\) −16.1800 9.01149i −0.873639 0.486574i
\(344\) −9.59032 2.56972i −0.517075 0.138550i
\(345\) −11.7022 11.7022i −0.630026 0.630026i
\(346\) −9.75457 2.61373i −0.524409 0.140515i
\(347\) −7.70530 + 13.3460i −0.413642 + 0.716450i −0.995285 0.0969950i \(-0.969077\pi\)
0.581643 + 0.813445i \(0.302410\pi\)
\(348\) 1.16471 + 2.01733i 0.0624349 + 0.108140i
\(349\) −0.658426 2.45728i −0.0352447 0.131535i 0.946062 0.323986i \(-0.105023\pi\)
−0.981307 + 0.192451i \(0.938356\pi\)
\(350\) 0.445488 + 0.629307i 0.0238123 + 0.0336379i
\(351\) −2.27024 2.80107i −0.121177 0.149510i
\(352\) −7.50800 + 13.0042i −0.400178 + 0.693128i
\(353\) 3.56642 + 3.56642i 0.189821 + 0.189821i 0.795619 0.605798i \(-0.207146\pi\)
−0.605798 + 0.795619i \(0.707146\pi\)
\(354\) −1.50900 −0.0802023
\(355\) 21.5647 1.14453
\(356\) −15.0166 15.0166i −0.795880 0.795880i
\(357\) −1.47079 + 8.59977i −0.0778426 + 0.455148i
\(358\) 1.48771 5.55219i 0.0786277 0.293443i
\(359\) 9.36366 2.50899i 0.494195 0.132419i −0.00310948 0.999995i \(-0.500990\pi\)
0.497305 + 0.867576i \(0.334323\pi\)
\(360\) 3.60036 + 2.07867i 0.189755 + 0.109555i
\(361\) 26.7519i 1.40800i
\(362\) −2.92577 0.783959i −0.153775 0.0412039i
\(363\) −2.69370 −0.141383
\(364\) 8.03084 + 14.2995i 0.420930 + 0.749499i
\(365\) −14.8580 −0.777705
\(366\) 1.86145 + 0.498775i 0.0972998 + 0.0260714i
\(367\) 7.48563i 0.390747i 0.980729 + 0.195373i \(0.0625919\pi\)
−0.980729 + 0.195373i \(0.937408\pi\)
\(368\) −16.2662 9.39132i −0.847936 0.489556i
\(369\) 6.61712 1.77305i 0.344473 0.0923013i
\(370\) 1.17774 4.39538i 0.0612277 0.228505i
\(371\) 13.1147 15.7938i 0.680881 0.819972i
\(372\) 8.03588 + 8.03588i 0.416641 + 0.416641i
\(373\) 18.9380 0.980571 0.490285 0.871562i \(-0.336893\pi\)
0.490285 + 0.871562i \(0.336893\pi\)
\(374\) −5.03598 −0.260404
\(375\) −8.27861 8.27861i −0.427505 0.427505i
\(376\) 3.60590 6.24561i 0.185960 0.322092i
\(377\) 0.766281 + 4.82478i 0.0394655 + 0.248489i
\(378\) 1.39596 0.129371i 0.0718005 0.00665412i
\(379\) 6.61698 + 24.6949i 0.339891 + 1.26849i 0.898468 + 0.439039i \(0.144681\pi\)
−0.558577 + 0.829453i \(0.688652\pi\)
\(380\) 12.2656 + 21.2446i 0.629211 + 1.08983i
\(381\) −8.68434 + 15.0417i −0.444912 + 0.770611i
\(382\) 11.7747 + 3.15501i 0.602444 + 0.161424i
\(383\) 6.37270 + 6.37270i 0.325630 + 0.325630i 0.850922 0.525292i \(-0.176044\pi\)
−0.525292 + 0.850922i \(0.676044\pi\)
\(384\) 11.1030 + 2.97504i 0.566598 + 0.151819i
\(385\) −2.71168 + 15.8553i −0.138200 + 0.808060i
\(386\) 1.32126 + 2.28848i 0.0672501 + 0.116481i
\(387\) 4.36301 2.51899i 0.221784 0.128047i
\(388\) 18.5112 18.5112i 0.939765 0.939765i
\(389\) −24.4866 + 14.1373i −1.24152 + 0.716792i −0.969404 0.245472i \(-0.921057\pi\)
−0.272116 + 0.962264i \(0.587724\pi\)
\(390\) 2.53767 + 3.13103i 0.128500 + 0.158546i
\(391\) 25.8702i 1.30831i
\(392\) −13.7545 1.06087i −0.694705 0.0535821i
\(393\) 3.80675 6.59348i 0.192025 0.332597i
\(394\) 2.39796i 0.120808i
\(395\) 1.23510 4.60944i 0.0621444 0.231926i
\(396\) −1.28243 4.78608i −0.0644443 0.240509i
\(397\) −12.0304 + 12.0304i −0.603789 + 0.603789i −0.941316 0.337527i \(-0.890410\pi\)
0.337527 + 0.941316i \(0.390410\pi\)
\(398\) 8.17081 8.17081i 0.409566 0.409566i
\(399\) 16.2579 + 7.47959i 0.813913 + 0.374448i
\(400\) −1.14032 0.658363i −0.0570159 0.0329182i
\(401\) 1.47514 5.50530i 0.0736650 0.274921i −0.919262 0.393646i \(-0.871214\pi\)
0.992927 + 0.118724i \(0.0378804\pi\)
\(402\) −0.500902 0.867588i −0.0249827 0.0432714i
\(403\) 9.70326 + 21.7689i 0.483354 + 1.08438i
\(404\) −12.4690 7.19901i −0.620358 0.358164i
\(405\) −2.03763 + 0.545981i −0.101251 + 0.0271300i
\(406\) −1.72566 0.793907i −0.0856432 0.0394009i
\(407\) −10.1607 + 5.86629i −0.503648 + 0.290781i
\(408\) 1.68201 + 6.27734i 0.0832718 + 0.310775i
\(409\) −11.4404 + 3.06546i −0.565693 + 0.151577i −0.530321 0.847797i \(-0.677928\pi\)
−0.0353725 + 0.999374i \(0.511262\pi\)
\(410\) −7.39659 + 1.98191i −0.365291 + 0.0978795i
\(411\) 4.06862 + 15.1843i 0.200690 + 0.748986i
\(412\) 11.7516 6.78479i 0.578960 0.334262i
\(413\) −6.14961 + 4.35332i −0.302602 + 0.214213i
\(414\) −4.01538 + 1.07592i −0.197345 + 0.0528785i
\(415\) −10.2627 5.92519i −0.503778 0.290856i
\(416\) 15.2025 + 11.0353i 0.745363 + 0.541052i
\(417\) 9.27005 + 16.0562i 0.453956 + 0.786275i
\(418\) −2.67354 + 9.97777i −0.130767 + 0.488029i
\(419\) 9.24123 + 5.33542i 0.451463 + 0.260653i 0.708448 0.705763i \(-0.249396\pi\)
−0.256985 + 0.966415i \(0.582729\pi\)
\(420\) 9.55444 0.885460i 0.466209 0.0432060i
\(421\) −7.86566 + 7.86566i −0.383349 + 0.383349i −0.872307 0.488958i \(-0.837377\pi\)
0.488958 + 0.872307i \(0.337377\pi\)
\(422\) −3.83870 + 3.83870i −0.186865 + 0.186865i
\(423\) 0.947124 + 3.53471i 0.0460507 + 0.171864i
\(424\) 3.95774 14.7705i 0.192205 0.717319i
\(425\) 1.81359i 0.0879720i
\(426\) 2.70840 4.69109i 0.131222 0.227284i
\(427\) 9.02490 3.33748i 0.436746 0.161512i
\(428\) 34.4115i 1.66334i
\(429\) 1.08179 10.3350i 0.0522292 0.498977i
\(430\) −4.87696 + 2.81571i −0.235188 + 0.135786i
\(431\) −4.61007 + 4.61007i −0.222059 + 0.222059i −0.809365 0.587306i \(-0.800189\pi\)
0.587306 + 0.809365i \(0.300189\pi\)
\(432\) −2.07341 + 1.19709i −0.0997571 + 0.0575948i
\(433\) −11.6587 20.1934i −0.560281 0.970435i −0.997472 0.0710664i \(-0.977360\pi\)
0.437191 0.899369i \(-0.355974\pi\)
\(434\) −9.13453 1.56225i −0.438472 0.0749905i
\(435\) 2.76083 + 0.739763i 0.132372 + 0.0354689i
\(436\) −8.50626 8.50626i −0.407376 0.407376i
\(437\) −51.2566 13.7342i −2.45194 0.656994i
\(438\) −1.86608 + 3.23215i −0.0891650 + 0.154438i
\(439\) 2.93624 + 5.08572i 0.140139 + 0.242728i 0.927549 0.373702i \(-0.121912\pi\)
−0.787410 + 0.616430i \(0.788578\pi\)
\(440\) 3.10109 + 11.5734i 0.147839 + 0.551742i
\(441\) 5.31573 4.55445i 0.253130 0.216879i
\(442\) −0.655871 + 6.26593i −0.0311966 + 0.298040i
\(443\) −11.2685 + 19.5176i −0.535381 + 0.927308i 0.463763 + 0.885959i \(0.346499\pi\)
−0.999145 + 0.0413488i \(0.986835\pi\)
\(444\) 4.94888 + 4.94888i 0.234863 + 0.234863i
\(445\) −26.0578 −1.23526
\(446\) −11.5103 −0.545028
\(447\) −15.6133 15.6133i −0.738485 0.738485i
\(448\) 5.03140 1.86065i 0.237711 0.0879075i
\(449\) −1.20603 + 4.50095i −0.0569159 + 0.212413i −0.988527 0.151043i \(-0.951737\pi\)
0.931611 + 0.363456i \(0.118403\pi\)
\(450\) −0.281492 + 0.0754255i −0.0132696 + 0.00355559i
\(451\) 17.0986 + 9.87186i 0.805140 + 0.464848i
\(452\) 7.07971i 0.333002i
\(453\) −17.2088 4.61110i −0.808542 0.216648i
\(454\) 6.18933 0.290480
\(455\) 19.3745 + 5.43891i 0.908290 + 0.254980i
\(456\) 13.3302 0.624246
\(457\) 26.3311 + 7.05539i 1.23172 + 0.330037i 0.815247 0.579113i \(-0.196601\pi\)
0.416468 + 0.909150i \(0.363268\pi\)
\(458\) 2.57311i 0.120234i
\(459\) −2.85581 1.64880i −0.133298 0.0769595i
\(460\) −27.4827 + 7.36396i −1.28139 + 0.343346i
\(461\) 5.21155 19.4498i 0.242726 0.905866i −0.731787 0.681534i \(-0.761313\pi\)
0.974513 0.224332i \(-0.0720200\pi\)
\(462\) 3.10852 + 2.58122i 0.144621 + 0.120089i
\(463\) 6.95272 + 6.95272i 0.323120 + 0.323120i 0.849963 0.526843i \(-0.176624\pi\)
−0.526843 + 0.849963i \(0.676624\pi\)
\(464\) 3.24392 0.150595
\(465\) 13.9443 0.646653
\(466\) 0.829370 + 0.829370i 0.0384198 + 0.0384198i
\(467\) −7.90161 + 13.6860i −0.365643 + 0.633312i −0.988879 0.148722i \(-0.952484\pi\)
0.623236 + 0.782034i \(0.285817\pi\)
\(468\) −6.12201 + 0.972311i −0.282990 + 0.0449451i
\(469\) −4.54424 2.09062i −0.209834 0.0965359i
\(470\) −1.05869 3.95109i −0.0488338 0.182250i
\(471\) −1.90451 3.29871i −0.0877551 0.151996i
\(472\) −2.80615 + 4.86039i −0.129163 + 0.223718i
\(473\) 14.0250 + 3.75799i 0.644871 + 0.172793i
\(474\) −0.847596 0.847596i −0.0389314 0.0389314i
\(475\) −3.59326 0.962812i −0.164870 0.0441768i
\(476\) 11.5398 + 9.58231i 0.528926 + 0.439205i
\(477\) 3.87961 + 6.71968i 0.177635 + 0.307673i
\(478\) 3.77711 2.18072i 0.172761 0.0997436i
\(479\) −23.3192 + 23.3192i −1.06548 + 1.06548i −0.0677829 + 0.997700i \(0.521593\pi\)
−0.997700 + 0.0677829i \(0.978407\pi\)
\(480\) 9.51836 5.49543i 0.434452 0.250831i
\(481\) 5.97573 + 13.4063i 0.272470 + 0.611275i
\(482\) 7.70784i 0.351082i
\(483\) −13.2599 + 15.9687i −0.603348 + 0.726601i
\(484\) −2.31553 + 4.01062i −0.105252 + 0.182301i
\(485\) 32.1218i 1.45857i
\(486\) −0.137144 + 0.511829i −0.00622099 + 0.0232170i
\(487\) 7.00807 + 26.1545i 0.317566 + 1.18517i 0.921577 + 0.388196i \(0.126902\pi\)
−0.604011 + 0.796976i \(0.706432\pi\)
\(488\) 5.06811 5.06811i 0.229422 0.229422i
\(489\) −5.61169 + 5.61169i −0.253769 + 0.253769i
\(490\) −5.94190 + 5.09095i −0.268428 + 0.229986i
\(491\) −10.9028 6.29476i −0.492038 0.284078i 0.233381 0.972385i \(-0.425021\pi\)
−0.725420 + 0.688307i \(0.758354\pi\)
\(492\) 3.04827 11.3763i 0.137427 0.512883i
\(493\) 2.23400 + 3.86941i 0.100614 + 0.174269i
\(494\) 12.0665 + 4.62598i 0.542896 + 0.208133i
\(495\) −5.26521 3.03987i −0.236654 0.136632i
\(496\) 15.2868 4.09607i 0.686396 0.183919i
\(497\) −2.49584 26.9311i −0.111954 1.20802i
\(498\) −2.57788 + 1.48834i −0.115518 + 0.0666942i
\(499\) −6.44253 24.0438i −0.288407 1.07635i −0.946313 0.323251i \(-0.895224\pi\)
0.657906 0.753100i \(-0.271442\pi\)
\(500\) −19.4423 + 5.20955i −0.869487 + 0.232978i
\(501\) 11.1550 2.98897i 0.498369 0.133537i
\(502\) 2.94803 + 11.0022i 0.131577 + 0.491052i
\(503\) −22.2573 + 12.8503i −0.992404 + 0.572965i −0.905992 0.423295i \(-0.860873\pi\)
−0.0864120 + 0.996259i \(0.527540\pi\)
\(504\) 2.17925 4.73689i 0.0970714 0.210998i
\(505\) −17.0646 + 4.57244i −0.759364 + 0.203471i
\(506\) −10.3757 5.99041i −0.461256 0.266306i
\(507\) −12.7182 2.69199i −0.564836 0.119556i
\(508\) 14.9303 + 25.8601i 0.662426 + 1.14735i
\(509\) −2.33254 + 8.70515i −0.103388 + 0.385849i −0.998157 0.0606796i \(-0.980673\pi\)
0.894769 + 0.446529i \(0.147340\pi\)
\(510\) 3.19221 + 1.84302i 0.141354 + 0.0816105i
\(511\) 1.71963 + 18.5555i 0.0760720 + 0.820846i
\(512\) 15.4932 15.4932i 0.684708 0.684708i
\(513\) −4.78288 + 4.78288i −0.211169 + 0.211169i
\(514\) 1.03445 + 3.86061i 0.0456276 + 0.170284i
\(515\) 4.30935 16.0827i 0.189893 0.708689i
\(516\) 8.66139i 0.381297i
\(517\) −5.27332 + 9.13366i −0.231920 + 0.401698i
\(518\) −5.62548 0.962109i −0.247169 0.0422727i
\(519\) 19.0583i 0.836564i
\(520\) 14.8039 2.35119i 0.649195 0.103107i
\(521\) −10.2174 + 5.89904i −0.447634 + 0.258442i −0.706831 0.707383i \(-0.749876\pi\)
0.259196 + 0.965825i \(0.416542\pi\)
\(522\) 0.507670 0.507670i 0.0222201 0.0222201i
\(523\) 24.7931 14.3143i 1.08412 0.625920i 0.152119 0.988362i \(-0.451390\pi\)
0.932006 + 0.362443i \(0.118057\pi\)
\(524\) −6.54464 11.3357i −0.285904 0.495200i
\(525\) −0.929566 + 1.11946i −0.0405696 + 0.0488572i
\(526\) −12.2010 3.26924i −0.531987 0.142545i
\(527\) 15.4135 + 15.4135i 0.671421 + 0.671421i
\(528\) −6.66504 1.78589i −0.290059 0.0777210i
\(529\) 19.2732 33.3822i 0.837966 1.45140i
\(530\) −4.33661 7.51124i −0.188370 0.326267i
\(531\) −0.737061 2.75075i −0.0319857 0.119372i
\(532\) 25.1118 17.7767i 1.08873 0.770717i
\(533\) 14.5098 19.9889i 0.628487 0.865815i
\(534\) −3.27271 + 5.66849i −0.141624 + 0.245300i
\(535\) −29.8564 29.8564i −1.29081 1.29081i
\(536\) −3.72594 −0.160936
\(537\) 10.8477 0.468115
\(538\) 10.3525 + 10.3525i 0.446330 + 0.446330i
\(539\) 20.1147 + 1.55143i 0.866402 + 0.0668250i
\(540\) −0.938663 + 3.50314i −0.0403936 + 0.150751i
\(541\) −20.6881 + 5.54336i −0.889451 + 0.238328i −0.674480 0.738293i \(-0.735632\pi\)
−0.214971 + 0.976621i \(0.568966\pi\)
\(542\) 9.49098 + 5.47962i 0.407673 + 0.235370i
\(543\) 5.71631i 0.245310i
\(544\) 16.5956 + 4.44677i 0.711530 + 0.190654i
\(545\) −14.7606 −0.632273
\(546\) 3.61648 3.53155i 0.154771 0.151136i
\(547\) −26.1223 −1.11691 −0.558455 0.829535i \(-0.688606\pi\)
−0.558455 + 0.829535i \(0.688606\pi\)
\(548\) 26.1052 + 6.99486i 1.11516 + 0.298806i
\(549\) 3.63687i 0.155218i
\(550\) −0.727372 0.419948i −0.0310152 0.0179066i
\(551\) 8.85245 2.37201i 0.377127 0.101051i
\(552\) −4.00158 + 14.9341i −0.170318 + 0.635637i
\(553\) −5.89945 1.00896i −0.250870 0.0429055i
\(554\) −3.36616 3.36616i −0.143014 0.143014i
\(555\) 8.58759 0.364523
\(556\) 31.8745 1.35178
\(557\) 24.3809 + 24.3809i 1.03305 + 1.03305i 0.999435 + 0.0336154i \(0.0107021\pi\)
0.0336154 + 0.999435i \(0.489298\pi\)
\(558\) 1.75133 3.03339i 0.0741397 0.128414i
\(559\) 6.50239 16.9610i 0.275022 0.717372i
\(560\) 5.58483 12.1394i 0.236002 0.512982i
\(561\) −2.45979 9.18007i −0.103853 0.387583i
\(562\) −4.99160 8.64570i −0.210558 0.364697i
\(563\) 8.01096 13.8754i 0.337622 0.584778i −0.646363 0.763030i \(-0.723711\pi\)
0.983985 + 0.178252i \(0.0570442\pi\)
\(564\) 6.07696 + 1.62832i 0.255886 + 0.0685645i
\(565\) −6.14257 6.14257i −0.258420 0.258420i
\(566\) 9.92810 + 2.66023i 0.417309 + 0.111818i
\(567\) 0.917679 + 2.48150i 0.0385389 + 0.104213i
\(568\) −10.0731 17.4472i −0.422660 0.732068i
\(569\) −22.9269 + 13.2368i −0.961145 + 0.554917i −0.896525 0.442993i \(-0.853917\pi\)
−0.0646197 + 0.997910i \(0.520583\pi\)
\(570\) 5.34629 5.34629i 0.223931 0.223931i
\(571\) 13.5784 7.83948i 0.568237 0.328072i −0.188208 0.982129i \(-0.560268\pi\)
0.756445 + 0.654057i \(0.226935\pi\)
\(572\) −14.4577 10.4947i −0.604508 0.438806i
\(573\) 23.0051i 0.961050i
\(574\) 3.33117 + 9.00785i 0.139040 + 0.375981i
\(575\) 2.15731 3.73657i 0.0899660 0.155826i
\(576\) 2.02756i 0.0844817i
\(577\) 7.54746 28.1675i 0.314205 1.17263i −0.610523 0.791999i \(-0.709041\pi\)
0.924728 0.380630i \(-0.124293\pi\)
\(578\) −0.840119 3.13537i −0.0349444 0.130414i
\(579\) −3.52631 + 3.52631i −0.146548 + 0.146548i
\(580\) 3.47467 3.47467i 0.144278 0.144278i
\(581\) −6.21190 + 13.5024i −0.257713 + 0.560174i
\(582\) −6.98763 4.03431i −0.289647 0.167228i
\(583\) −5.78786 + 21.6006i −0.239709 + 0.894605i
\(584\) 6.94038 + 12.0211i 0.287195 + 0.497436i
\(585\) −4.46803 + 6.15525i −0.184730 + 0.254488i
\(586\) −11.9942 6.92487i −0.495477 0.286064i
\(587\) −7.40030 + 1.98290i −0.305443 + 0.0818432i −0.408285 0.912854i \(-0.633873\pi\)
0.102842 + 0.994698i \(0.467206\pi\)
\(588\) −2.21161 11.8296i −0.0912055 0.487844i
\(589\) 38.7215 22.3558i 1.59549 0.921157i
\(590\) 0.823884 + 3.07478i 0.0339188 + 0.126587i
\(591\) 4.37125 1.17127i 0.179809 0.0481797i
\(592\) 9.41431 2.52256i 0.386926 0.103676i
\(593\) −4.71470 17.5955i −0.193610 0.722561i −0.992622 0.121247i \(-0.961311\pi\)
0.799013 0.601314i \(-0.205356\pi\)
\(594\) −1.32256 + 0.763581i −0.0542653 + 0.0313301i
\(595\) 18.3262 1.69838i 0.751300 0.0696269i
\(596\) −36.6679 + 9.82514i −1.50198 + 0.402453i
\(597\) 18.8855 + 10.9036i 0.772934 + 0.446253i
\(598\) −8.80477 + 12.1296i −0.360054 + 0.496017i
\(599\) −7.09934 12.2964i −0.290071 0.502418i 0.683755 0.729712i \(-0.260346\pi\)
−0.973826 + 0.227293i \(0.927012\pi\)
\(600\) −0.280524 + 1.04693i −0.0114523 + 0.0427408i
\(601\) −11.4194 6.59300i −0.465807 0.268934i 0.248676 0.968587i \(-0.420005\pi\)
−0.714483 + 0.699653i \(0.753338\pi\)
\(602\) 4.08085 + 5.76471i 0.166323 + 0.234952i
\(603\) 1.33686 1.33686i 0.0544413 0.0544413i
\(604\) −21.6583 + 21.6583i −0.881265 + 0.881265i
\(605\) 1.47071 + 5.48876i 0.0597928 + 0.223150i
\(606\) −1.14855 + 4.28643i −0.0466565 + 0.174124i
\(607\) 11.2832i 0.457970i 0.973430 + 0.228985i \(0.0735406\pi\)
−0.973430 + 0.228985i \(0.926459\pi\)
\(608\) 17.6208 30.5201i 0.714617 1.23775i
\(609\) 0.604322 3.53349i 0.0244884 0.143184i
\(610\) 4.06528i 0.164598i
\(611\) 10.6776 + 7.75078i 0.431970 + 0.313563i
\(612\) −4.90977 + 2.83466i −0.198466 + 0.114584i
\(613\) 7.04738 7.04738i 0.284641 0.284641i −0.550316 0.834957i \(-0.685493\pi\)
0.834957 + 0.550316i \(0.185493\pi\)
\(614\) 1.02767 0.593327i 0.0414735 0.0239447i
\(615\) −7.22564 12.5152i −0.291366 0.504661i
\(616\) 14.0946 5.21228i 0.567887 0.210009i
\(617\) 37.7991 + 10.1282i 1.52173 + 0.407747i 0.920312 0.391184i \(-0.127935\pi\)
0.601422 + 0.798932i \(0.294601\pi\)
\(618\) −2.95733 2.95733i −0.118961 0.118961i
\(619\) −18.7706 5.02957i −0.754455 0.202156i −0.138962 0.990298i \(-0.544376\pi\)
−0.615493 + 0.788142i \(0.711043\pi\)
\(620\) 11.9867 20.7616i 0.481398 0.833805i
\(621\) −3.92258 6.79410i −0.157408 0.272638i
\(622\) −2.08342 7.77544i −0.0835376 0.311767i
\(623\) 3.01586 + 32.5423i 0.120828 + 1.30378i
\(624\) −3.09010 + 8.06027i −0.123703 + 0.322669i
\(625\) −10.9738 + 19.0072i −0.438953 + 0.760290i
\(626\) 1.15390 + 1.15390i 0.0461189 + 0.0461189i
\(627\) −19.4943 −0.778529
\(628\) −6.54855 −0.261316
\(629\) 9.49234 + 9.49234i 0.378484 + 0.378484i
\(630\) −1.02578 2.77382i −0.0408680 0.110511i
\(631\) −2.13268 + 7.95928i −0.0849008 + 0.316854i −0.995295 0.0968871i \(-0.969111\pi\)
0.910395 + 0.413741i \(0.135778\pi\)
\(632\) −4.30626 + 1.15386i −0.171294 + 0.0458980i
\(633\) −8.87255 5.12257i −0.352652 0.203604i
\(634\) 4.35988i 0.173153i
\(635\) 35.3909 + 9.48297i 1.40445 + 0.376320i
\(636\) 13.3398 0.528958
\(637\) 4.55003 24.8253i 0.180279 0.983616i
\(638\) 2.06919 0.0819200
\(639\) 9.87427 + 2.64580i 0.390620 + 0.104666i
\(640\) 24.2481i 0.958491i
\(641\) −34.5796 19.9646i −1.36581 0.788552i −0.375423 0.926854i \(-0.622502\pi\)
−0.990390 + 0.138301i \(0.955836\pi\)
\(642\) −10.2446 + 2.74504i −0.404324 + 0.108338i
\(643\) −3.71724 + 13.8729i −0.146594 + 0.547095i 0.853086 + 0.521771i \(0.174728\pi\)
−0.999679 + 0.0253239i \(0.991938\pi\)
\(644\) 12.3773 + 33.4695i 0.487732 + 1.31888i
\(645\) −7.51488 7.51488i −0.295898 0.295898i
\(646\) 11.8191 0.465016
\(647\) 9.05314 0.355916 0.177958 0.984038i \(-0.443051\pi\)
0.177958 + 0.984038i \(0.443051\pi\)
\(648\) 1.39354 + 1.39354i 0.0547433 + 0.0547433i
\(649\) 4.10375 7.10790i 0.161086 0.279010i
\(650\) −0.617244 + 0.850327i −0.0242103 + 0.0333526i
\(651\) −1.61388 17.4144i −0.0632531 0.682524i
\(652\) 3.53132 + 13.1791i 0.138297 + 0.516132i
\(653\) −16.9246 29.3143i −0.662312 1.14716i −0.980006 0.198966i \(-0.936242\pi\)
0.317694 0.948193i \(-0.397092\pi\)
\(654\) −1.85384 + 3.21095i −0.0724910 + 0.125558i
\(655\) −15.5135 4.15682i −0.606161 0.162420i
\(656\) −11.5975 11.5975i −0.452807 0.452807i
\(657\) −6.80337 1.82296i −0.265425 0.0711203i
\(658\) −4.81179 + 1.77944i −0.187583 + 0.0693697i
\(659\) 14.7702 + 25.5827i 0.575365 + 0.996561i 0.996002 + 0.0893323i \(0.0284733\pi\)
−0.420637 + 0.907229i \(0.638193\pi\)
\(660\) −9.05207 + 5.22621i −0.352351 + 0.203430i
\(661\) −15.2821 + 15.2821i −0.594406 + 0.594406i −0.938818 0.344413i \(-0.888078\pi\)
0.344413 + 0.938818i \(0.388078\pi\)
\(662\) −10.1152 + 5.84002i −0.393139 + 0.226979i
\(663\) −11.7425 + 1.86497i −0.456041 + 0.0724294i
\(664\) 11.0709i 0.429636i
\(665\) 6.36413 37.2113i 0.246790 1.44299i
\(666\) 1.07855 1.86811i 0.0417931 0.0723877i
\(667\) 10.6296i 0.411579i
\(668\) 5.13871 19.1779i 0.198823 0.742016i
\(669\) −5.62213 20.9821i −0.217364 0.811215i
\(670\) −1.49434 + 1.49434i −0.0577314 + 0.0577314i
\(671\) −7.41167 + 7.41167i −0.286124 + 0.286124i
\(672\) −7.96460 11.2510i −0.307241 0.434016i
\(673\) −40.0862 23.1438i −1.54521 0.892126i −0.998497 0.0548050i \(-0.982546\pi\)
−0.546711 0.837321i \(-0.684120\pi\)
\(674\) −0.906443 + 3.38289i −0.0349149 + 0.130304i
\(675\) −0.274986 0.476290i −0.0105842 0.0183324i
\(676\) −14.9408 + 16.6220i −0.574646 + 0.639307i
\(677\) 3.29683 + 1.90343i 0.126707 + 0.0731546i 0.562014 0.827128i \(-0.310027\pi\)
−0.435307 + 0.900282i \(0.643360\pi\)
\(678\) −2.10770 + 0.564756i −0.0809457 + 0.0216893i
\(679\) −40.1153 + 3.71769i −1.53948 + 0.142672i
\(680\) 11.8725 6.85462i 0.455291 0.262863i
\(681\) 3.02314 + 11.2825i 0.115847 + 0.432347i
\(682\) 9.75091 2.61275i 0.373382 0.100047i
\(683\) 10.5464 2.82590i 0.403547 0.108130i −0.0513357 0.998681i \(-0.516348\pi\)
0.454883 + 0.890551i \(0.349681\pi\)
\(684\) 3.00977 + 11.2326i 0.115081 + 0.429489i
\(685\) 28.7186 16.5807i 1.09728 0.633515i
\(686\) 7.04553 + 6.83134i 0.269000 + 0.260822i
\(687\) −4.69053 + 1.25682i −0.178955 + 0.0479508i
\(688\) −10.4458 6.03088i −0.398242 0.229925i
\(689\) 26.1224 + 10.0146i 0.995183 + 0.381528i
\(690\) 4.38464 + 7.59442i 0.166920 + 0.289115i
\(691\) 5.97064 22.2827i 0.227134 0.847675i −0.754405 0.656410i \(-0.772074\pi\)
0.981538 0.191265i \(-0.0612590\pi\)
\(692\) −28.3756 16.3827i −1.07868 0.622776i
\(693\) −3.18696 + 6.92729i −0.121063 + 0.263146i
\(694\) 5.77412 5.77412i 0.219183 0.219183i
\(695\) 27.6553 27.6553i 1.04903 1.04903i
\(696\) −0.691106 2.57924i −0.0261963 0.0977660i
\(697\) 5.84682 21.8206i 0.221464 0.826515i
\(698\) 1.34801i 0.0510228i
\(699\) −1.10676 + 1.91696i −0.0418614 + 0.0725060i
\(700\) 0.867688 + 2.34632i 0.0327955 + 0.0886827i
\(701\) 12.3895i 0.467945i −0.972243 0.233973i \(-0.924827\pi\)
0.972243 0.233973i \(-0.0751726\pi\)
\(702\) 0.777826 + 1.74502i 0.0293572 + 0.0658616i
\(703\) 23.8465 13.7678i 0.899389 0.519262i
\(704\) −4.13202 + 4.13202i −0.155732 + 0.155732i
\(705\) 6.68532 3.85977i 0.251784 0.145367i
\(706\) −1.33628 2.31451i −0.0502917 0.0871077i
\(707\) 7.68531 + 20.7819i 0.289036 + 0.781584i
\(708\) −4.72915 1.26717i −0.177732 0.0476232i
\(709\) −16.8696 16.8696i −0.633553 0.633553i 0.315405 0.948957i \(-0.397860\pi\)
−0.948957 + 0.315405i \(0.897860\pi\)
\(710\) −11.0374 2.95747i −0.414227 0.110992i
\(711\) 1.13108 1.95909i 0.0424188 0.0734715i
\(712\) 12.1719 + 21.0824i 0.456162 + 0.790096i
\(713\) 13.4219 + 50.0912i 0.502654 + 1.87593i
\(714\) 1.93220 4.19990i 0.0723109 0.157177i
\(715\) −21.6495 + 3.43842i −0.809645 + 0.128589i
\(716\) 9.32484 16.1511i 0.348486 0.603595i
\(717\) 5.82013 + 5.82013i 0.217357 + 0.217357i
\(718\) −5.13669 −0.191700
\(719\) 41.6555 1.55349 0.776744 0.629817i \(-0.216870\pi\)
0.776744 + 0.629817i \(0.216870\pi\)
\(720\) 3.57126 + 3.57126i 0.133093 + 0.133093i
\(721\) −20.5837 3.52036i −0.766576 0.131105i
\(722\) 3.66887 13.6924i 0.136541 0.509579i
\(723\) 14.0506 3.76485i 0.522548 0.140016i
\(724\) −8.51095 4.91380i −0.316307 0.182620i
\(725\) 0.745171i 0.0276749i
\(726\) 1.37871 + 0.369425i 0.0511689 + 0.0137107i
\(727\) −31.5386 −1.16970 −0.584851 0.811141i \(-0.698847\pi\)
−0.584851 + 0.811141i \(0.698847\pi\)
\(728\) −4.64966 18.2158i −0.172328 0.675122i
\(729\) −1.00000 −0.0370370
\(730\) 7.60478 + 2.03769i 0.281465 + 0.0754184i
\(731\) 16.6132i 0.614463i
\(732\) 5.41490 + 3.12629i 0.200140 + 0.115551i
\(733\) −31.5148 + 8.44436i −1.16402 + 0.311899i −0.788572 0.614942i \(-0.789179\pi\)
−0.375452 + 0.926842i \(0.622513\pi\)
\(734\) 1.02661 3.83137i 0.0378929 0.141418i
\(735\) −12.1826 8.34484i −0.449361 0.307804i
\(736\) 28.9026 + 28.9026i 1.06536 + 1.06536i
\(737\) 5.44886 0.200711
\(738\) −3.63000 −0.133622
\(739\) 23.5095 + 23.5095i 0.864813 + 0.864813i 0.991892 0.127080i \(-0.0405605\pi\)
−0.127080 + 0.991892i \(0.540560\pi\)
\(740\) 7.38199 12.7860i 0.271367 0.470022i
\(741\) −2.53889 + 24.2555i −0.0932683 + 0.891048i
\(742\) −8.87850 + 6.28512i −0.325940 + 0.230734i
\(743\) 8.41303 + 31.3979i 0.308644 + 1.15188i 0.929763 + 0.368159i \(0.120012\pi\)
−0.621118 + 0.783717i \(0.713321\pi\)
\(744\) −6.51358 11.2819i −0.238800 0.413613i
\(745\) −23.2896 + 40.3387i −0.853264 + 1.47790i
\(746\) −9.69301 2.59723i −0.354886 0.0950915i
\(747\) −3.97225 3.97225i −0.145337 0.145337i
\(748\) −15.7826 4.22893i −0.577068 0.154625i
\(749\) −33.8307 + 40.7417i −1.23615 + 1.48867i
\(750\) 3.10187 + 5.37259i 0.113264 + 0.196179i
\(751\) 37.1727 21.4617i 1.35645 0.783148i 0.367309 0.930099i \(-0.380279\pi\)
0.989144 + 0.146951i \(0.0469459\pi\)
\(752\) 6.19513 6.19513i 0.225913 0.225913i
\(753\) −18.6160 + 10.7479i −0.678403 + 0.391676i
\(754\) 0.269485 2.57455i 0.00981407 0.0937597i
\(755\) 37.5828i 1.36778i
\(756\) 4.48354 + 0.766806i 0.163065 + 0.0278885i
\(757\) 6.45620 11.1825i 0.234654 0.406433i −0.724518 0.689256i \(-0.757937\pi\)
0.959172 + 0.282823i \(0.0912708\pi\)
\(758\) 13.5471i 0.492051i
\(759\) 5.85196 21.8398i 0.212413 0.792735i
\(760\) −7.27806 27.1621i −0.264003 0.985273i
\(761\) −26.9660 + 26.9660i −0.977516 + 0.977516i −0.999753 0.0222364i \(-0.992921\pi\)
0.0222364 + 0.999753i \(0.492921\pi\)
\(762\) 6.50779 6.50779i 0.235752 0.235752i
\(763\) 1.70835 + 18.4338i 0.0618465 + 0.667347i
\(764\) 34.2520 + 19.7754i 1.23919 + 0.715449i
\(765\) −1.80043 + 6.71929i −0.0650947 + 0.242937i
\(766\) −2.38776 4.13571i −0.0862731 0.149429i
\(767\) −8.30943 6.03173i −0.300036 0.217793i
\(768\) −1.76299 1.01786i −0.0636165 0.0367290i
\(769\) −0.0137463 + 0.00368331i −0.000495704 + 0.000132824i −0.259067 0.965859i \(-0.583415\pi\)
0.258571 + 0.965992i \(0.416748\pi\)
\(770\) 3.56238 7.74330i 0.128379 0.279049i
\(771\) −6.53224 + 3.77139i −0.235253 + 0.135823i
\(772\) 2.21903 + 8.28154i 0.0798647 + 0.298059i
\(773\) 16.6107 4.45082i 0.597445 0.160085i 0.0525914 0.998616i \(-0.483252\pi\)
0.544854 + 0.838531i \(0.316585\pi\)