Properties

Label 354.2.e.c.79.2
Level 354
Weight 2
Character 354.79
Analytic conductor 2.827
Analytic rank 0
Dimension 84
CM no
Inner twists 2

Related objects

Downloads

Learn more about

Newspace parameters

Level: \( N \) = \( 354 = 2 \cdot 3 \cdot 59 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 354.e (of order \(29\), degree \(28\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.82670423155\)
Analytic rank: \(0\)
Dimension: \(84\)
Relative dimension: \(3\) over \(\Q(\zeta_{29})\)
Coefficient ring index: multiple of None
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{29}]$

Embedding invariants

Embedding label 79.2
Character \(\chi\) = 354.79
Dual form 354.2.e.c.121.2

$q$-expansion

\(f(q)\) \(=\) \(q+(0.907575 + 0.419889i) q^{2} +(0.947653 - 0.319302i) q^{3} +(0.647386 + 0.762162i) q^{4} +(0.401618 - 0.241646i) q^{5} +(0.994138 + 0.108119i) q^{6} +(-0.0924092 - 1.70439i) q^{7} +(0.267528 + 0.963550i) q^{8} +(0.796093 - 0.605174i) q^{9} +O(q^{10})\) \(q+(0.907575 + 0.419889i) q^{2} +(0.947653 - 0.319302i) q^{3} +(0.647386 + 0.762162i) q^{4} +(0.401618 - 0.241646i) q^{5} +(0.994138 + 0.108119i) q^{6} +(-0.0924092 - 1.70439i) q^{7} +(0.267528 + 0.963550i) q^{8} +(0.796093 - 0.605174i) q^{9} +(0.465963 - 0.0506766i) q^{10} +(-0.0193516 - 0.118039i) q^{11} +(0.856857 + 0.515554i) q^{12} +(4.72869 + 3.59466i) q^{13} +(0.631786 - 1.58566i) q^{14} +(0.303437 - 0.357234i) q^{15} +(-0.161782 + 0.986827i) q^{16} +(0.104267 - 1.92310i) q^{17} +(0.976621 - 0.214970i) q^{18} +(-2.59470 - 2.45783i) q^{19} +(0.444175 + 0.149660i) q^{20} +(-0.631786 - 1.58566i) q^{21} +(0.0320004 - 0.115255i) q^{22} +(-1.36313 - 0.300047i) q^{23} +(0.561187 + 0.827689i) q^{24} +(-2.23914 + 4.22346i) q^{25} +(2.78229 + 5.24795i) q^{26} +(0.561187 - 0.827689i) q^{27} +(1.23920 - 1.17383i) q^{28} +(-7.23008 + 3.34499i) q^{29} +(0.425390 - 0.196807i) q^{30} +(-2.74265 + 2.59798i) q^{31} +(-0.561187 + 0.827689i) q^{32} +(-0.0560287 - 0.105681i) q^{33} +(0.902119 - 1.70158i) q^{34} +(-0.448971 - 0.662183i) q^{35} +(0.976621 + 0.214970i) q^{36} +(2.72619 - 9.81884i) q^{37} +(-1.32287 - 3.32015i) q^{38} +(5.62894 + 1.89661i) q^{39} +(0.340282 + 0.322332i) q^{40} +(-3.58642 + 0.789432i) q^{41} +(0.0924092 - 1.70439i) q^{42} +(-0.304167 + 1.85533i) q^{43} +(0.0774371 - 0.0911660i) q^{44} +(0.173488 - 0.435421i) q^{45} +(-1.11115 - 0.844677i) q^{46} +(-0.307797 - 0.185195i) q^{47} +(0.161782 + 0.986827i) q^{48} +(4.06257 - 0.441831i) q^{49} +(-3.80557 + 2.89292i) q^{50} +(-0.515239 - 1.85572i) q^{51} +(0.321578 + 5.93117i) q^{52} +(-7.66235 - 0.833331i) q^{53} +(0.856857 - 0.515554i) q^{54} +(-0.0362956 - 0.0427305i) q^{55} +(1.61754 - 0.545013i) q^{56} +(-3.24366 - 1.50068i) q^{57} -7.96637 q^{58} +(-7.09097 - 2.95266i) q^{59} +0.468711 q^{60} +(7.17385 + 3.31898i) q^{61} +(-3.58003 + 1.20625i) q^{62} +(-1.10502 - 1.30093i) q^{63} +(-0.856857 + 0.515554i) q^{64} +(2.76776 + 0.301012i) q^{65} +(-0.00647583 - 0.119440i) q^{66} +(-0.655295 - 2.36016i) q^{67} +(1.53321 - 1.16552i) q^{68} +(-1.38758 + 0.150908i) q^{69} +(-0.129432 - 0.789499i) q^{70} +(-1.13312 - 0.681777i) q^{71} +(0.796093 + 0.605174i) q^{72} +(-3.67513 + 9.22387i) q^{73} +(6.59705 - 7.76664i) q^{74} +(-0.773368 + 4.71734i) q^{75} +(0.193492 - 3.56874i) q^{76} +(-0.199396 + 0.0438905i) q^{77} +(4.31232 + 4.08485i) q^{78} +(1.42527 + 0.480228i) q^{79} +(0.173488 + 0.435421i) q^{80} +(0.267528 - 0.963550i) q^{81} +(-3.58642 - 0.789432i) q^{82} +(-5.80425 - 8.56062i) q^{83} +(0.799522 - 1.50806i) q^{84} +(-0.422833 - 0.797547i) q^{85} +(-1.05509 + 1.55614i) q^{86} +(-5.78355 + 5.47847i) q^{87} +(0.108560 - 0.0502250i) q^{88} +(-5.62278 + 2.60137i) q^{89} +(0.340282 - 0.322332i) q^{90} +(5.68972 - 8.39171i) q^{91} +(-0.653785 - 1.23317i) q^{92} +(-1.76955 + 3.33772i) q^{93} +(-0.201588 - 0.297320i) q^{94} +(-1.63600 - 0.360111i) q^{95} +(-0.267528 + 0.963550i) q^{96} +(2.38901 + 5.99597i) q^{97} +(3.87261 + 1.30483i) q^{98} +(-0.0868400 - 0.0822592i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} + O(q^{10}) \) \( 84q - 3q^{2} + 3q^{3} - 3q^{4} + 3q^{6} + q^{7} - 3q^{8} - 3q^{9} - 26q^{11} + 3q^{12} - 3q^{13} + q^{14} - 3q^{16} + 3q^{17} - 3q^{18} + 4q^{19} - q^{21} + 3q^{22} - 2q^{23} + 3q^{24} + 41q^{25} + 26q^{26} + 3q^{27} + q^{28} - 2q^{29} + 8q^{31} - 3q^{32} - 3q^{33} - 26q^{34} + 83q^{35} - 3q^{36} - 53q^{37} + 4q^{38} + 3q^{39} - 7q^{41} - q^{42} + 119q^{43} + 3q^{44} - 31q^{46} - 12q^{47} + 3q^{48} - 38q^{49} - 133q^{50} - 3q^{51} - 32q^{52} - 83q^{53} + 3q^{54} - 83q^{55} + q^{56} - 4q^{57} + 56q^{58} - 57q^{59} - 48q^{61} - 21q^{62} + q^{63} - 3q^{64} - 33q^{65} - 3q^{66} - 88q^{67} - 26q^{68} + 89q^{69} - 62q^{70} - 35q^{71} - 3q^{72} - 71q^{73} - 24q^{74} + 17q^{75} + 33q^{76} + 113q^{77} + 3q^{78} - 5q^{79} - 3q^{81} - 7q^{82} - 51q^{83} - q^{84} + 125q^{85} + 61q^{86} + 31q^{87} + 32q^{88} - 58q^{89} + 173q^{91} - 2q^{92} + 21q^{93} + 17q^{94} + 26q^{95} + 3q^{96} + 20q^{98} + 3q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/354\mathbb{Z}\right)^\times\).

\(n\) \(61\) \(119\)
\(\chi(n)\) \(e\left(\frac{4}{29}\right)\) \(1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.907575 + 0.419889i 0.641753 + 0.296906i
\(3\) 0.947653 0.319302i 0.547128 0.184349i
\(4\) 0.647386 + 0.762162i 0.323693 + 0.381081i
\(5\) 0.401618 0.241646i 0.179609 0.108067i −0.422910 0.906172i \(-0.638991\pi\)
0.602519 + 0.798104i \(0.294164\pi\)
\(6\) 0.994138 + 0.108119i 0.405855 + 0.0441394i
\(7\) −0.0924092 1.70439i −0.0349274 0.644198i −0.962620 0.270854i \(-0.912694\pi\)
0.927693 0.373344i \(-0.121789\pi\)
\(8\) 0.267528 + 0.963550i 0.0945856 + 0.340666i
\(9\) 0.796093 0.605174i 0.265364 0.201725i
\(10\) 0.465963 0.0506766i 0.147351 0.0160253i
\(11\) −0.0193516 0.118039i −0.00583471 0.0355902i 0.983749 0.179551i \(-0.0574644\pi\)
−0.989583 + 0.143961i \(0.954016\pi\)
\(12\) 0.856857 + 0.515554i 0.247353 + 0.148828i
\(13\) 4.72869 + 3.59466i 1.31150 + 0.996979i 0.998890 + 0.0470990i \(0.0149976\pi\)
0.312614 + 0.949880i \(0.398795\pi\)
\(14\) 0.631786 1.58566i 0.168852 0.423786i
\(15\) 0.303437 0.357234i 0.0783471 0.0922373i
\(16\) −0.161782 + 0.986827i −0.0404455 + 0.246707i
\(17\) 0.104267 1.92310i 0.0252886 0.466420i −0.958274 0.285852i \(-0.907724\pi\)
0.983562 0.180568i \(-0.0577937\pi\)
\(18\) 0.976621 0.214970i 0.230192 0.0506690i
\(19\) −2.59470 2.45783i −0.595265 0.563865i 0.329619 0.944114i \(-0.393080\pi\)
−0.924884 + 0.380249i \(0.875838\pi\)
\(20\) 0.444175 + 0.149660i 0.0993206 + 0.0334650i
\(21\) −0.631786 1.58566i −0.137867 0.346020i
\(22\) 0.0320004 0.115255i 0.00682251 0.0245725i
\(23\) −1.36313 0.300047i −0.284231 0.0625641i 0.0705665 0.997507i \(-0.477519\pi\)
−0.354798 + 0.934943i \(0.615450\pi\)
\(24\) 0.561187 + 0.827689i 0.114552 + 0.168951i
\(25\) −2.23914 + 4.22346i −0.447828 + 0.844692i
\(26\) 2.78229 + 5.24795i 0.545652 + 1.02921i
\(27\) 0.561187 0.827689i 0.108001 0.159289i
\(28\) 1.23920 1.17383i 0.234186 0.221833i
\(29\) −7.23008 + 3.34499i −1.34259 + 0.621150i −0.953874 0.300207i \(-0.902944\pi\)
−0.388719 + 0.921356i \(0.627082\pi\)
\(30\) 0.425390 0.196807i 0.0776653 0.0359318i
\(31\) −2.74265 + 2.59798i −0.492595 + 0.466611i −0.893213 0.449634i \(-0.851554\pi\)
0.400618 + 0.916245i \(0.368796\pi\)
\(32\) −0.561187 + 0.827689i −0.0992048 + 0.146316i
\(33\) −0.0560287 0.105681i −0.00975334 0.0183968i
\(34\) 0.902119 1.70158i 0.154712 0.291818i
\(35\) −0.448971 0.662183i −0.0758900 0.111929i
\(36\) 0.976621 + 0.214970i 0.162770 + 0.0358284i
\(37\) 2.72619 9.81884i 0.448183 1.61421i −0.302228 0.953236i \(-0.597730\pi\)
0.750411 0.660972i \(-0.229856\pi\)
\(38\) −1.32287 3.32015i −0.214598 0.538599i
\(39\) 5.62894 + 1.89661i 0.901352 + 0.303701i
\(40\) 0.340282 + 0.322332i 0.0538033 + 0.0509652i
\(41\) −3.58642 + 0.789432i −0.560105 + 0.123289i −0.485995 0.873962i \(-0.661543\pi\)
−0.0741103 + 0.997250i \(0.523612\pi\)
\(42\) 0.0924092 1.70439i 0.0142591 0.262993i
\(43\) −0.304167 + 1.85533i −0.0463850 + 0.282936i −0.999826 0.0186431i \(-0.994065\pi\)
0.953441 + 0.301579i \(0.0975137\pi\)
\(44\) 0.0774371 0.0911660i 0.0116741 0.0137438i
\(45\) 0.173488 0.435421i 0.0258620 0.0649088i
\(46\) −1.11115 0.844677i −0.163831 0.124541i
\(47\) −0.307797 0.185195i −0.0448968 0.0270135i 0.492928 0.870070i \(-0.335926\pi\)
−0.537825 + 0.843056i \(0.680754\pi\)
\(48\) 0.161782 + 0.986827i 0.0233512 + 0.142436i
\(49\) 4.06257 0.441831i 0.580367 0.0631187i
\(50\) −3.80557 + 2.89292i −0.538189 + 0.409121i
\(51\) −0.515239 1.85572i −0.0721479 0.259853i
\(52\) 0.321578 + 5.93117i 0.0445949 + 0.822505i
\(53\) −7.66235 0.833331i −1.05251 0.114467i −0.434524 0.900660i \(-0.643084\pi\)
−0.617981 + 0.786193i \(0.712049\pi\)
\(54\) 0.856857 0.515554i 0.116603 0.0701580i
\(55\) −0.0362956 0.0427305i −0.00489410 0.00576178i
\(56\) 1.61754 0.545013i 0.216153 0.0728304i
\(57\) −3.24366 1.50068i −0.429634 0.198770i
\(58\) −7.96637 −1.04604
\(59\) −7.09097 2.95266i −0.923165 0.384403i
\(60\) 0.468711 0.0605103
\(61\) 7.17385 + 3.31898i 0.918518 + 0.424951i 0.821420 0.570323i \(-0.193182\pi\)
0.0970973 + 0.995275i \(0.469044\pi\)
\(62\) −3.58003 + 1.20625i −0.454664 + 0.153194i
\(63\) −1.10502 1.30093i −0.139219 0.163901i
\(64\) −0.856857 + 0.515554i −0.107107 + 0.0644442i
\(65\) 2.76776 + 0.301012i 0.343299 + 0.0373360i
\(66\) −0.00647583 0.119440i −0.000797119 0.0147020i
\(67\) −0.655295 2.36016i −0.0800571 0.288340i 0.912675 0.408687i \(-0.134013\pi\)
−0.992732 + 0.120347i \(0.961599\pi\)
\(68\) 1.53321 1.16552i 0.185930 0.141340i
\(69\) −1.38758 + 0.150908i −0.167045 + 0.0181672i
\(70\) −0.129432 0.789499i −0.0154701 0.0943632i
\(71\) −1.13312 0.681777i −0.134477 0.0809120i 0.446726 0.894671i \(-0.352590\pi\)
−0.581202 + 0.813759i \(0.697418\pi\)
\(72\) 0.796093 + 0.605174i 0.0938205 + 0.0713205i
\(73\) −3.67513 + 9.22387i −0.430141 + 1.07957i 0.540991 + 0.841028i \(0.318049\pi\)
−0.971132 + 0.238544i \(0.923330\pi\)
\(74\) 6.59705 7.76664i 0.766891 0.902854i
\(75\) −0.773368 + 4.71734i −0.0893009 + 0.544711i
\(76\) 0.193492 3.56874i 0.0221950 0.409363i
\(77\) −0.199396 + 0.0438905i −0.0227233 + 0.00500178i
\(78\) 4.31232 + 4.08485i 0.488275 + 0.462518i
\(79\) 1.42527 + 0.480228i 0.160355 + 0.0540299i 0.398334 0.917240i \(-0.369588\pi\)
−0.237979 + 0.971270i \(0.576485\pi\)
\(80\) 0.173488 + 0.435421i 0.0193965 + 0.0486816i
\(81\) 0.267528 0.963550i 0.0297254 0.107061i
\(82\) −3.58642 0.789432i −0.396054 0.0871781i
\(83\) −5.80425 8.56062i −0.637099 0.939650i −0.999969 0.00781080i \(-0.997514\pi\)
0.362871 0.931839i \(-0.381797\pi\)
\(84\) 0.799522 1.50806i 0.0872350 0.164543i
\(85\) −0.422833 0.797547i −0.0458627 0.0865062i
\(86\) −1.05509 + 1.55614i −0.113773 + 0.167803i
\(87\) −5.78355 + 5.47847i −0.620062 + 0.587354i
\(88\) 0.108560 0.0502250i 0.0115725 0.00535401i
\(89\) −5.62278 + 2.60137i −0.596013 + 0.275745i −0.694615 0.719382i \(-0.744425\pi\)
0.0986016 + 0.995127i \(0.468563\pi\)
\(90\) 0.340282 0.322332i 0.0358689 0.0339768i
\(91\) 5.68972 8.39171i 0.596445 0.879690i
\(92\) −0.653785 1.23317i −0.0681618 0.128567i
\(93\) −1.76955 + 3.33772i −0.183493 + 0.346105i
\(94\) −0.201588 0.297320i −0.0207922 0.0306662i
\(95\) −1.63600 0.360111i −0.167850 0.0369466i
\(96\) −0.267528 + 0.963550i −0.0273045 + 0.0983419i
\(97\) 2.38901 + 5.99597i 0.242568 + 0.608799i 0.998973 0.0453041i \(-0.0144257\pi\)
−0.756406 + 0.654103i \(0.773046\pi\)
\(98\) 3.87261 + 1.30483i 0.391192 + 0.131808i
\(99\) −0.0868400 0.0822592i −0.00872774 0.00826736i
\(100\) −4.66855 + 1.02763i −0.466855 + 0.102763i
\(101\) 0.0503123 0.927955i 0.00500626 0.0923350i −0.994962 0.100248i \(-0.968036\pi\)
0.999969 + 0.00791353i \(0.00251898\pi\)
\(102\) 0.311580 1.90055i 0.0308510 0.188183i
\(103\) 11.0423 13.0000i 1.08803 1.28093i 0.130863 0.991400i \(-0.458225\pi\)
0.957169 0.289530i \(-0.0934989\pi\)
\(104\) −2.19858 + 5.51801i −0.215588 + 0.541085i
\(105\) −0.636905 0.484163i −0.0621556 0.0472494i
\(106\) −6.60426 3.97365i −0.641462 0.385955i
\(107\) 1.35257 + 8.25031i 0.130758 + 0.797588i 0.968036 + 0.250811i \(0.0806972\pi\)
−0.837278 + 0.546777i \(0.815855\pi\)
\(108\) 0.994138 0.108119i 0.0956610 0.0104038i
\(109\) −4.05276 + 3.08083i −0.388184 + 0.295090i −0.781005 0.624525i \(-0.785292\pi\)
0.392820 + 0.919615i \(0.371499\pi\)
\(110\) −0.0149989 0.0540213i −0.00143009 0.00515073i
\(111\) −0.551691 10.1753i −0.0523641 0.965800i
\(112\) 1.69689 + 0.184547i 0.160341 + 0.0174381i
\(113\) −4.48636 + 2.69935i −0.422041 + 0.253934i −0.710696 0.703500i \(-0.751620\pi\)
0.288655 + 0.957433i \(0.406792\pi\)
\(114\) −2.31375 2.72396i −0.216703 0.255122i
\(115\) −0.619961 + 0.208889i −0.0578117 + 0.0194790i
\(116\) −7.23008 3.34499i −0.671296 0.310575i
\(117\) 5.93988 0.549142
\(118\) −5.19580 5.65718i −0.478312 0.520786i
\(119\) −3.28734 −0.301350
\(120\) 0.425390 + 0.196807i 0.0388327 + 0.0179659i
\(121\) 10.4106 3.50775i 0.946421 0.318886i
\(122\) 5.11721 + 6.02444i 0.463290 + 0.545428i
\(123\) −3.14662 + 1.89326i −0.283721 + 0.170709i
\(124\) −3.75564 0.408450i −0.337266 0.0366799i
\(125\) 0.248180 + 4.57741i 0.0221979 + 0.409416i
\(126\) −0.456642 1.64468i −0.0406809 0.146519i
\(127\) 12.3789 9.41017i 1.09845 0.835018i 0.111134 0.993805i \(-0.464552\pi\)
0.987313 + 0.158787i \(0.0507585\pi\)
\(128\) −0.994138 + 0.108119i −0.0878702 + 0.00955646i
\(129\) 0.304167 + 1.85533i 0.0267804 + 0.163353i
\(130\) 2.38556 + 1.43535i 0.209228 + 0.125888i
\(131\) 0.0498591 + 0.0379019i 0.00435621 + 0.00331151i 0.607350 0.794434i \(-0.292233\pi\)
−0.602994 + 0.797746i \(0.706026\pi\)
\(132\) 0.0442741 0.111120i 0.00385356 0.00967172i
\(133\) −3.94932 + 4.64950i −0.342449 + 0.403163i
\(134\) 0.396276 2.41718i 0.0342330 0.208812i
\(135\) 0.0253755 0.468023i 0.00218397 0.0402810i
\(136\) 1.88090 0.414017i 0.161286 0.0355016i
\(137\) 10.4818 + 9.92890i 0.895521 + 0.848283i 0.989087 0.147330i \(-0.0470680\pi\)
−0.0935661 + 0.995613i \(0.529827\pi\)
\(138\) −1.32269 0.445668i −0.112595 0.0379377i
\(139\) −0.348193 0.873899i −0.0295334 0.0741231i 0.913470 0.406905i \(-0.133392\pi\)
−0.943004 + 0.332782i \(0.892013\pi\)
\(140\) 0.214033 0.770877i 0.0180891 0.0651510i
\(141\) −0.350818 0.0772209i −0.0295442 0.00650318i
\(142\) −0.742123 1.09455i −0.0622775 0.0918525i
\(143\) 0.332803 0.627734i 0.0278304 0.0524937i
\(144\) 0.468408 + 0.883512i 0.0390340 + 0.0736260i
\(145\) −2.09543 + 3.09053i −0.174016 + 0.256654i
\(146\) −7.20846 + 6.82821i −0.596576 + 0.565107i
\(147\) 3.70883 1.71589i 0.305899 0.141524i
\(148\) 9.24845 4.27879i 0.760218 0.351714i
\(149\) 13.4967 12.7847i 1.10569 1.04737i 0.107104 0.994248i \(-0.465842\pi\)
0.998588 0.0531193i \(-0.0169164\pi\)
\(150\) −2.68265 + 3.95661i −0.219037 + 0.323056i
\(151\) −5.08238 9.58639i −0.413598 0.780129i 0.585945 0.810351i \(-0.300723\pi\)
−0.999543 + 0.0302217i \(0.990379\pi\)
\(152\) 1.67409 3.15766i 0.135786 0.256120i
\(153\) −1.08080 1.59407i −0.0873778 0.128873i
\(154\) −0.199396 0.0438905i −0.0160678 0.00353680i
\(155\) −0.473709 + 1.70615i −0.0380492 + 0.137041i
\(156\) 2.19858 + 5.51801i 0.176027 + 0.441794i
\(157\) 0.320570 + 0.108013i 0.0255843 + 0.00862036i 0.332065 0.943257i \(-0.392255\pi\)
−0.306480 + 0.951877i \(0.599151\pi\)
\(158\) 1.09189 + 1.03430i 0.0868664 + 0.0822842i
\(159\) −7.52734 + 1.65689i −0.596957 + 0.131400i
\(160\) −0.0253755 + 0.468023i −0.00200611 + 0.0370005i
\(161\) −0.385431 + 2.35102i −0.0303762 + 0.185287i
\(162\) 0.647386 0.762162i 0.0508635 0.0598811i
\(163\) −8.47782 + 21.2777i −0.664034 + 1.66660i 0.0786034 + 0.996906i \(0.474954\pi\)
−0.742637 + 0.669694i \(0.766425\pi\)
\(164\) −2.92348 2.22237i −0.228285 0.173538i
\(165\) −0.0480396 0.0289044i −0.00373988 0.00225021i
\(166\) −1.67328 10.2065i −0.129872 0.792182i
\(167\) 3.33385 0.362578i 0.257981 0.0280571i 0.0217853 0.999763i \(-0.493065\pi\)
0.236195 + 0.971706i \(0.424099\pi\)
\(168\) 1.35884 1.03297i 0.104837 0.0796951i
\(169\) 5.96110 + 21.4700i 0.458546 + 1.65153i
\(170\) −0.0488713 0.901377i −0.00374825 0.0691325i
\(171\) −3.55304 0.386416i −0.271707 0.0295500i
\(172\) −1.61098 + 0.969294i −0.122836 + 0.0739080i
\(173\) 10.3645 + 12.2020i 0.787996 + 0.927701i 0.998757 0.0498368i \(-0.0158701\pi\)
−0.210761 + 0.977538i \(0.567594\pi\)
\(174\) −7.54936 + 2.54367i −0.572315 + 0.192836i
\(175\) 7.40533 + 3.42607i 0.559791 + 0.258987i
\(176\) 0.119615 0.00901632
\(177\) −7.66257 0.533939i −0.575954 0.0401333i
\(178\) −6.19538 −0.464363
\(179\) 14.5632 + 6.73767i 1.08851 + 0.503597i 0.880266 0.474481i \(-0.157364\pi\)
0.208241 + 0.978078i \(0.433226\pi\)
\(180\) 0.444175 0.149660i 0.0331069 0.0111550i
\(181\) 5.65530 + 6.65794i 0.420355 + 0.494881i 0.931055 0.364879i \(-0.118889\pi\)
−0.510700 + 0.859759i \(0.670614\pi\)
\(182\) 8.68744 5.22706i 0.643956 0.387455i
\(183\) 7.85808 + 0.854617i 0.580886 + 0.0631751i
\(184\) −0.0755648 1.39371i −0.00557071 0.102746i
\(185\) −1.27779 4.60220i −0.0939453 0.338360i
\(186\) −3.00747 + 2.28622i −0.220518 + 0.167634i
\(187\) −0.229019 + 0.0249073i −0.0167475 + 0.00182140i
\(188\) −0.0581148 0.354484i −0.00423846 0.0258534i
\(189\) −1.46256 0.879994i −0.106386 0.0640102i
\(190\) −1.33359 1.01377i −0.0967486 0.0735464i
\(191\) 10.1808 25.5520i 0.736659 1.84888i 0.276607 0.960983i \(-0.410790\pi\)
0.460052 0.887892i \(-0.347831\pi\)
\(192\) −0.647386 + 0.762162i −0.0467211 + 0.0550043i
\(193\) 1.10413 6.73492i 0.0794774 0.484790i −0.916855 0.399221i \(-0.869281\pi\)
0.996332 0.0855697i \(-0.0272710\pi\)
\(194\) −0.349433 + 6.44492i −0.0250878 + 0.462718i
\(195\) 2.71899 0.598496i 0.194711 0.0428592i
\(196\) 2.96680 + 2.81030i 0.211914 + 0.200736i
\(197\) 13.9955 + 4.71562i 0.997136 + 0.335974i 0.770108 0.637914i \(-0.220203\pi\)
0.227028 + 0.973888i \(0.427099\pi\)
\(198\) −0.0442741 0.111120i −0.00314642 0.00789692i
\(199\) −0.318062 + 1.14555i −0.0225468 + 0.0812062i −0.973968 0.226688i \(-0.927210\pi\)
0.951421 + 0.307894i \(0.0996242\pi\)
\(200\) −4.66855 1.02763i −0.330116 0.0726641i
\(201\) −1.37460 2.02738i −0.0969565 0.143000i
\(202\) 0.435300 0.821064i 0.0306276 0.0577698i
\(203\) 6.36929 + 12.0138i 0.447037 + 0.843201i
\(204\) 1.08080 1.59407i 0.0756714 0.111607i
\(205\) −1.24961 + 1.18369i −0.0872766 + 0.0826728i
\(206\) 15.4803 7.16195i 1.07856 0.498997i
\(207\) −1.26676 + 0.586064i −0.0880456 + 0.0407342i
\(208\) −4.31232 + 4.08485i −0.299006 + 0.283233i
\(209\) −0.239909 + 0.353839i −0.0165948 + 0.0244756i
\(210\) −0.374745 0.706844i −0.0258598 0.0487768i
\(211\) 3.90193 7.35982i 0.268620 0.506671i −0.712103 0.702075i \(-0.752257\pi\)
0.980723 + 0.195404i \(0.0626019\pi\)
\(212\) −4.32537 6.37944i −0.297068 0.438142i
\(213\) −1.29150 0.284280i −0.0884920 0.0194786i
\(214\) −2.23666 + 8.05571i −0.152895 + 0.550677i
\(215\) 0.326175 + 0.818637i 0.0222449 + 0.0558306i
\(216\) 0.947653 + 0.319302i 0.0644796 + 0.0217257i
\(217\) 4.68141 + 4.43447i 0.317795 + 0.301031i
\(218\) −4.97179 + 1.09437i −0.336732 + 0.0741204i
\(219\) −0.537549 + 9.91450i −0.0363242 + 0.669960i
\(220\) 0.00907028 0.0553263i 0.000611518 0.00373010i
\(221\) 7.40594 8.71894i 0.498177 0.586500i
\(222\) 3.77181 9.46653i 0.253147 0.635352i
\(223\) −10.5996 8.05763i −0.709804 0.539579i 0.186808 0.982396i \(-0.440186\pi\)
−0.896612 + 0.442818i \(0.853979\pi\)
\(224\) 1.46256 + 0.879994i 0.0977215 + 0.0587971i
\(225\) 0.773368 + 4.71734i 0.0515579 + 0.314489i
\(226\) −5.20514 + 0.566093i −0.346240 + 0.0376559i
\(227\) 7.75020 5.89155i 0.514399 0.391036i −0.315521 0.948919i \(-0.602179\pi\)
0.829920 + 0.557883i \(0.188386\pi\)
\(228\) −0.956143 3.44371i −0.0633221 0.228066i
\(229\) 0.831666 + 15.3392i 0.0549581 + 1.01364i 0.887829 + 0.460174i \(0.152213\pi\)
−0.832871 + 0.553468i \(0.813304\pi\)
\(230\) −0.650372 0.0707322i −0.0428842 0.00466394i
\(231\) −0.174944 + 0.105261i −0.0115105 + 0.00692563i
\(232\) −5.15732 6.07167i −0.338595 0.398624i
\(233\) −25.2740 + 8.51581i −1.65576 + 0.557889i −0.983260 0.182211i \(-0.941675\pi\)
−0.672497 + 0.740100i \(0.734778\pi\)
\(234\) 5.39089 + 2.49409i 0.352413 + 0.163044i
\(235\) −0.168369 −0.0109832
\(236\) −2.34019 7.31598i −0.152333 0.476229i
\(237\) 1.50399 0.0976950
\(238\) −2.98351 1.38032i −0.193392 0.0894728i
\(239\) 19.3024 6.50374i 1.24857 0.420692i 0.384060 0.923308i \(-0.374526\pi\)
0.864510 + 0.502616i \(0.167629\pi\)
\(240\) 0.303437 + 0.357234i 0.0195868 + 0.0230593i
\(241\) −1.78692 + 1.07515i −0.115105 + 0.0692566i −0.571942 0.820294i \(-0.693810\pi\)
0.456837 + 0.889550i \(0.348982\pi\)
\(242\) 10.9213 + 1.18776i 0.702047 + 0.0763523i
\(243\) −0.0541389 0.998533i −0.00347301 0.0640559i
\(244\) 2.11465 + 7.61630i 0.135377 + 0.487583i
\(245\) 1.52483 1.15915i 0.0974181 0.0740553i
\(246\) −3.65075 + 0.397043i −0.232764 + 0.0253146i
\(247\) −3.43448 20.9494i −0.218530 1.33298i
\(248\) −3.23702 1.94765i −0.205551 0.123676i
\(249\) −8.23383 6.25920i −0.521798 0.396660i
\(250\) −1.69676 + 4.25856i −0.107313 + 0.269335i
\(251\) −8.73070 + 10.2786i −0.551077 + 0.648778i −0.965222 0.261433i \(-0.915805\pi\)
0.414145 + 0.910211i \(0.364081\pi\)
\(252\) 0.276144 1.68441i 0.0173955 0.106108i
\(253\) −0.00903868 + 0.166709i −0.000568257 + 0.0104809i
\(254\) 15.1860 3.34269i 0.952854 0.209739i
\(255\) −0.655357 0.620787i −0.0410400 0.0388752i
\(256\) −0.947653 0.319302i −0.0592283 0.0199563i
\(257\) 4.24560 + 10.6556i 0.264833 + 0.664681i 0.999912 0.0133013i \(-0.00423404\pi\)
−0.735079 + 0.677982i \(0.762855\pi\)
\(258\) −0.502981 + 1.81157i −0.0313142 + 0.112784i
\(259\) −16.9870 3.73913i −1.05552 0.232338i
\(260\) 1.56239 + 2.30436i 0.0968955 + 0.142910i
\(261\) −3.73152 + 7.03839i −0.230975 + 0.435665i
\(262\) 0.0293363 + 0.0553342i 0.00181240 + 0.00341856i
\(263\) 7.11482 10.4936i 0.438718 0.647061i −0.542479 0.840069i \(-0.682514\pi\)
0.981197 + 0.193008i \(0.0618245\pi\)
\(264\) 0.0868400 0.0822592i 0.00534463 0.00506270i
\(265\) −3.27871 + 1.51689i −0.201410 + 0.0931820i
\(266\) −5.53658 + 2.56149i −0.339469 + 0.157055i
\(267\) −4.49782 + 4.26056i −0.275262 + 0.260742i
\(268\) 1.37460 2.02738i 0.0839668 0.123842i
\(269\) −6.79528 12.8173i −0.414315 0.781482i 0.585253 0.810851i \(-0.300995\pi\)
−0.999569 + 0.0293689i \(0.990650\pi\)
\(270\) 0.219548 0.414112i 0.0133613 0.0252020i
\(271\) 6.22065 + 9.17477i 0.377878 + 0.557328i 0.968307 0.249761i \(-0.0803521\pi\)
−0.590430 + 0.807089i \(0.701042\pi\)
\(272\) 1.88090 + 0.414017i 0.114046 + 0.0251034i
\(273\) 2.71240 9.76917i 0.164162 0.591257i
\(274\) 5.34400 + 13.4124i 0.322843 + 0.810274i
\(275\) 0.541865 + 0.182576i 0.0326757 + 0.0110097i
\(276\) −1.01331 0.959862i −0.0609943 0.0577769i
\(277\) −6.21256 + 1.36749i −0.373277 + 0.0821644i −0.397647 0.917539i \(-0.630173\pi\)
0.0243701 + 0.999703i \(0.492242\pi\)
\(278\) 0.0509291 0.939332i 0.00305452 0.0563374i
\(279\) −0.611177 + 3.72802i −0.0365902 + 0.223191i
\(280\) 0.517934 0.609759i 0.0309525 0.0364401i
\(281\) 10.7925 27.0872i 0.643827 1.61588i −0.136592 0.990627i \(-0.543615\pi\)
0.780419 0.625257i \(-0.215006\pi\)
\(282\) −0.285970 0.217389i −0.0170293 0.0129453i
\(283\) −7.59884 4.57207i −0.451704 0.271781i 0.271470 0.962447i \(-0.412490\pi\)
−0.723174 + 0.690666i \(0.757318\pi\)
\(284\) −0.213943 1.30499i −0.0126952 0.0774372i
\(285\) −1.66535 + 0.181117i −0.0986466 + 0.0107285i
\(286\) 0.565623 0.429975i 0.0334460 0.0254250i
\(287\) 1.67692 + 6.03971i 0.0989853 + 0.356513i
\(288\) 0.0541389 + 0.998533i 0.00319017 + 0.0588391i
\(289\) 13.2129 + 1.43699i 0.777230 + 0.0845288i
\(290\) −3.19944 + 1.92504i −0.187878 + 0.113042i
\(291\) 4.17848 + 4.91929i 0.244947 + 0.288374i
\(292\) −9.40931 + 3.17037i −0.550638 + 0.185532i
\(293\) 9.79595 + 4.53209i 0.572285 + 0.264767i 0.684617 0.728903i \(-0.259970\pi\)
−0.112331 + 0.993671i \(0.535832\pi\)
\(294\) 4.08652 0.238331
\(295\) −3.56136 + 0.527660i −0.207350 + 0.0307216i
\(296\) 10.1903 0.592298
\(297\) −0.108560 0.0502250i −0.00629927 0.00291435i
\(298\) 17.6174 5.93601i 1.02055 0.343864i
\(299\) −5.36724 6.31880i −0.310395 0.365426i
\(300\) −4.09604 + 2.46451i −0.236485 + 0.142288i
\(301\) 3.19032 + 0.346968i 0.183887 + 0.0199989i
\(302\) −0.587424 10.8344i −0.0338025 0.623450i
\(303\) −0.248619 0.895444i −0.0142828 0.0514419i
\(304\) 2.84523 2.16288i 0.163185 0.124050i
\(305\) 3.68317 0.400568i 0.210897 0.0229365i
\(306\) −0.311580 1.90055i −0.0178118 0.108647i
\(307\) −29.8407 17.9546i −1.70310 1.02472i −0.908844 0.417137i \(-0.863034\pi\)
−0.794255 0.607584i \(-0.792139\pi\)
\(308\) −0.162538 0.123558i −0.00926147 0.00704039i
\(309\) 6.31336 15.8453i 0.359155 0.901410i
\(310\) −1.14632 + 1.34955i −0.0651065 + 0.0766494i
\(311\) 0.237469 1.44850i 0.0134656 0.0821366i −0.979239 0.202710i \(-0.935025\pi\)
0.992704 + 0.120574i \(0.0384733\pi\)
\(312\) −0.321578 + 5.93117i −0.0182058 + 0.335786i
\(313\) −23.6714 + 5.21048i −1.33799 + 0.294514i −0.825608 0.564244i \(-0.809168\pi\)
−0.512381 + 0.858758i \(0.671237\pi\)
\(314\) 0.245589 + 0.232634i 0.0138594 + 0.0131283i
\(315\) −0.758159 0.255453i −0.0427174 0.0143932i
\(316\) 0.556686 + 1.39718i 0.0313160 + 0.0785973i
\(317\) 2.00882 7.23511i 0.112827 0.406364i −0.885471 0.464695i \(-0.846164\pi\)
0.998297 + 0.0583306i \(0.0185777\pi\)
\(318\) −7.52734 1.65689i −0.422112 0.0929139i
\(319\) 0.534754 + 0.788703i 0.0299405 + 0.0441589i
\(320\) −0.219548 + 0.414112i −0.0122731 + 0.0231495i
\(321\) 3.91611 + 7.38656i 0.218576 + 0.412277i
\(322\) −1.33698 + 1.97189i −0.0745068 + 0.109889i
\(323\) −4.99719 + 4.73359i −0.278051 + 0.263384i
\(324\) 0.907575 0.419889i 0.0504209 0.0233272i
\(325\) −25.7701 + 11.9225i −1.42947 + 0.661343i
\(326\) −16.6285 + 15.7514i −0.920970 + 0.872389i
\(327\) −2.85690 + 4.21361i −0.157987 + 0.233013i
\(328\) −1.72013 3.24450i −0.0949781 0.179148i
\(329\) −0.287202 + 0.541720i −0.0158339 + 0.0298660i
\(330\) −0.0314629 0.0464043i −0.00173197 0.00255447i
\(331\) −14.8741 3.27404i −0.817556 0.179958i −0.213545 0.976933i \(-0.568501\pi\)
−0.604011 + 0.796976i \(0.706432\pi\)
\(332\) 2.76699 9.96580i 0.151858 0.546945i
\(333\) −3.77181 9.46653i −0.206694 0.518763i
\(334\) 3.17796 + 1.07078i 0.173890 + 0.0585904i
\(335\) −0.833501 0.789534i −0.0455390 0.0431369i
\(336\) 1.66699 0.366931i 0.0909415 0.0200177i
\(337\) 0.728472 13.4359i 0.0396824 0.731899i −0.909217 0.416322i \(-0.863319\pi\)
0.948900 0.315577i \(-0.102198\pi\)
\(338\) −3.60485 + 21.9886i −0.196078 + 1.19602i
\(339\) −3.38960 + 3.99055i −0.184098 + 0.216737i
\(340\) 0.334124 0.838588i 0.0181204 0.0454788i
\(341\) 0.359738 + 0.273466i 0.0194809 + 0.0148090i
\(342\) −3.06240 1.84258i −0.165595 0.0996354i
\(343\) −3.06148 18.6742i −0.165304 1.00831i
\(344\) −1.86908 + 0.203275i −0.100774 + 0.0109598i
\(345\) −0.520809 + 0.395909i −0.0280394 + 0.0213150i
\(346\) 4.28305 + 15.4262i 0.230258 + 0.829316i
\(347\) 0.817838 + 15.0841i 0.0439039 + 0.809759i 0.934718 + 0.355391i \(0.115652\pi\)
−0.890814 + 0.454368i \(0.849865\pi\)
\(348\) −7.91967 0.861316i −0.424539 0.0461714i
\(349\) −20.9200 + 12.5872i −1.11982 + 0.673776i −0.950171 0.311728i \(-0.899092\pi\)
−0.169653 + 0.985504i \(0.554265\pi\)
\(350\) 5.28233 + 6.21884i 0.282352 + 0.332411i
\(351\) 5.62894 1.89661i 0.300451 0.101234i
\(352\) 0.108560 + 0.0502250i 0.00578625 + 0.00267700i
\(353\) 5.50915 0.293223 0.146611 0.989194i \(-0.453163\pi\)
0.146611 + 0.989194i \(0.453163\pi\)
\(354\) −6.73016 3.70202i −0.357704 0.196760i
\(355\) −0.619831 −0.0328972
\(356\) −5.62278 2.60137i −0.298007 0.137872i
\(357\) −3.11526 + 1.04965i −0.164877 + 0.0555535i
\(358\) 10.3882 + 12.2299i 0.549031 + 0.646369i
\(359\) −24.8049 + 14.9246i −1.30915 + 0.787691i −0.987265 0.159087i \(-0.949145\pi\)
−0.321888 + 0.946778i \(0.604318\pi\)
\(360\) 0.465963 + 0.0506766i 0.0245584 + 0.00267089i
\(361\) −0.337103 6.21749i −0.0177422 0.327236i
\(362\) 2.33702 + 8.41718i 0.122831 + 0.442397i
\(363\) 8.74563 6.64826i 0.459027 0.348943i
\(364\) 10.0793 1.09619i 0.528298 0.0574559i
\(365\) 0.752911 + 4.59255i 0.0394091 + 0.240385i
\(366\) 6.77295 + 4.07515i 0.354028 + 0.213012i
\(367\) −3.78412 2.87662i −0.197530 0.150158i 0.501734 0.865022i \(-0.332696\pi\)
−0.699264 + 0.714864i \(0.746489\pi\)
\(368\) 0.516623 1.29663i 0.0269308 0.0675913i
\(369\) −2.37738 + 2.79887i −0.123762 + 0.145703i
\(370\) 0.772718 4.71337i 0.0401717 0.245037i
\(371\) −0.712247 + 13.1366i −0.0369780 + 0.682020i
\(372\) −3.68946 + 0.812112i −0.191290 + 0.0421060i
\(373\) 13.1539 + 12.4601i 0.681085 + 0.645158i 0.947892 0.318592i \(-0.103210\pi\)
−0.266807 + 0.963750i \(0.585969\pi\)
\(374\) −0.218310 0.0735573i −0.0112886 0.00380356i
\(375\) 1.69676 + 4.25856i 0.0876205 + 0.219911i
\(376\) 0.0961006 0.346123i 0.00495601 0.0178499i
\(377\) −46.2130 10.1722i −2.38009 0.523897i
\(378\) −0.957885 1.41278i −0.0492683 0.0726653i
\(379\) 3.90012 7.35641i 0.200336 0.377873i −0.762906 0.646510i \(-0.776228\pi\)
0.963242 + 0.268636i \(0.0865729\pi\)
\(380\) −0.784662 1.48003i −0.0402523 0.0759239i
\(381\) 8.72619 12.8702i 0.447056 0.659359i
\(382\) 19.9689 18.9155i 1.02170 0.967802i
\(383\) 1.73699 0.803616i 0.0887560 0.0410629i −0.375009 0.927021i \(-0.622360\pi\)
0.463765 + 0.885958i \(0.346498\pi\)
\(384\) −0.907575 + 0.419889i −0.0463145 + 0.0214274i
\(385\) −0.0694753 + 0.0658105i −0.00354079 + 0.00335401i
\(386\) 3.83001 5.64884i 0.194942 0.287518i
\(387\) 0.880656 + 1.66109i 0.0447662 + 0.0844381i
\(388\) −3.02329 + 5.70253i −0.153484 + 0.289502i
\(389\) −13.2187 19.4961i −0.670214 0.988492i −0.999027 0.0440967i \(-0.985959\pi\)
0.328813 0.944395i \(-0.393351\pi\)
\(390\) 2.71899 + 0.598496i 0.137682 + 0.0303060i
\(391\) −0.719149 + 2.59014i −0.0363689 + 0.130989i
\(392\) 1.51258 + 3.79628i 0.0763967 + 0.191741i
\(393\) 0.0593513 + 0.0199978i 0.00299388 + 0.00100875i
\(394\) 10.7219 + 10.1563i 0.540162 + 0.511668i
\(395\) 0.688458 0.151541i 0.0346401 0.00762485i
\(396\) 0.00647583 0.119440i 0.000325422 0.00600206i
\(397\) −1.06650 + 6.50534i −0.0535259 + 0.326493i 0.946467 + 0.322800i \(0.104624\pi\)
−0.999993 + 0.00369371i \(0.998824\pi\)
\(398\) −0.769671 + 0.906127i −0.0385801 + 0.0454200i
\(399\) −2.25799 + 5.66714i −0.113041 + 0.283712i
\(400\) −3.80557 2.89292i −0.190279 0.144646i
\(401\) −22.4430 13.5035i −1.12075 0.674332i −0.170356 0.985383i \(-0.554492\pi\)
−0.950393 + 0.311050i \(0.899319\pi\)
\(402\) −0.396276 2.41718i −0.0197644 0.120558i
\(403\) −22.3080 + 2.42614i −1.11124 + 0.120855i
\(404\) 0.739824 0.562399i 0.0368076 0.0279804i
\(405\) −0.125393 0.451626i −0.00623085 0.0224415i
\(406\) 0.736166 + 13.5778i 0.0365353 + 0.673854i
\(407\) −1.21176 0.131787i −0.0600650 0.00653246i
\(408\) 1.65024 0.992917i 0.0816991 0.0491567i
\(409\) −10.1687 11.9715i −0.502809 0.591952i 0.450941 0.892554i \(-0.351088\pi\)
−0.953750 + 0.300602i \(0.902813\pi\)
\(410\) −1.63114 + 0.549594i −0.0805561 + 0.0271425i
\(411\) 13.1034 + 6.06229i 0.646345 + 0.299031i
\(412\) 17.0568 0.840327
\(413\) −4.37720 + 12.3586i −0.215388 + 0.608128i
\(414\) −1.39576 −0.0685978
\(415\) −4.39973 2.03553i −0.215974 0.0999203i
\(416\) −5.62894 + 1.89661i −0.275982 + 0.0929890i
\(417\) −0.609004 0.716974i −0.0298230 0.0351104i
\(418\) −0.366308 + 0.220400i −0.0179167 + 0.0107801i
\(419\) −7.77919 0.846038i −0.380039 0.0413317i −0.0838937 0.996475i \(-0.526736\pi\)
−0.296145 + 0.955143i \(0.595701\pi\)
\(420\) −0.0433132 0.798865i −0.00211347 0.0389806i
\(421\) 0.660247 + 2.37799i 0.0321785 + 0.115896i 0.977895 0.209096i \(-0.0670521\pi\)
−0.945717 + 0.324992i \(0.894638\pi\)
\(422\) 6.63160 5.04121i 0.322821 0.245402i
\(423\) −0.357111 + 0.0388381i −0.0173633 + 0.00188838i
\(424\) −1.24694 7.60600i −0.0605568 0.369380i
\(425\) 7.88867 + 4.74645i 0.382656 + 0.230237i
\(426\) −1.05277 0.800292i −0.0510067 0.0387743i
\(427\) 4.99389 12.5337i 0.241671 0.606550i
\(428\) −5.41244 + 6.37202i −0.261620 + 0.308003i
\(429\) 0.114946 0.701139i 0.00554964 0.0338513i
\(430\) −0.0477085 + 0.879932i −0.00230071 + 0.0424341i
\(431\) 20.6188 4.53854i 0.993171 0.218614i 0.311480 0.950253i \(-0.399175\pi\)
0.681692 + 0.731639i \(0.261244\pi\)
\(432\) 0.725995 + 0.687699i 0.0349295 + 0.0330870i
\(433\) −3.58998 1.20961i −0.172524 0.0581300i 0.231714 0.972784i \(-0.425567\pi\)
−0.404238 + 0.914654i \(0.632463\pi\)
\(434\) 2.38675 + 5.99029i 0.114568 + 0.287543i
\(435\) −0.998931 + 3.59782i −0.0478951 + 0.172502i
\(436\) −4.97179 1.09437i −0.238106 0.0524110i
\(437\) 2.79944 + 4.12886i 0.133915 + 0.197510i
\(438\) −4.65086 + 8.77245i −0.222227 + 0.419164i
\(439\) 13.0289 + 24.5752i 0.621837 + 1.17291i 0.971725 + 0.236117i \(0.0758749\pi\)
−0.349888 + 0.936792i \(0.613780\pi\)
\(440\) 0.0314629 0.0464043i 0.00149993 0.00221224i
\(441\) 2.96680 2.81030i 0.141276 0.133824i
\(442\) 10.3824 4.80343i 0.493842 0.228476i
\(443\) −19.7146 + 9.12093i −0.936668 + 0.433349i −0.827999 0.560729i \(-0.810521\pi\)
−0.108669 + 0.994078i \(0.534659\pi\)
\(444\) 7.39810 7.00785i 0.351098 0.332578i
\(445\) −1.62960 + 2.40348i −0.0772504 + 0.113936i
\(446\) −6.23665 11.7636i −0.295314 0.557022i
\(447\) 8.70799 16.4250i 0.411874 0.776877i
\(448\) 0.957885 + 1.41278i 0.0452558 + 0.0667474i
\(449\) 14.9320 + 3.28677i 0.704682 + 0.155112i 0.552834 0.833291i \(-0.313546\pi\)
0.151848 + 0.988404i \(0.451477\pi\)
\(450\) −1.27887 + 4.60607i −0.0602864 + 0.217132i
\(451\) 0.162587 + 0.408062i 0.00765591 + 0.0192149i
\(452\) −4.96175 1.67181i −0.233381 0.0786352i
\(453\) −7.87728 7.46176i −0.370107 0.350584i
\(454\) 9.50769 2.09280i 0.446218 0.0982200i
\(455\) 0.257275 4.74516i 0.0120612 0.222457i
\(456\) 0.578207 3.52690i 0.0270770 0.165162i
\(457\) 19.1252 22.5159i 0.894640 1.05325i −0.103639 0.994615i \(-0.533049\pi\)
0.998279 0.0586366i \(-0.0186753\pi\)
\(458\) −5.68596 + 14.2707i −0.265687 + 0.666825i
\(459\) −1.53321 1.16552i −0.0715643 0.0544018i
\(460\) −0.560562 0.337279i −0.0261363 0.0157257i
\(461\) −6.26612 38.2216i −0.291842 1.78016i −0.572050 0.820219i \(-0.693852\pi\)
0.280207 0.959939i \(-0.409597\pi\)
\(462\) −0.202973 + 0.0220746i −0.00944316 + 0.00102701i
\(463\) 15.9372 12.1151i 0.740663 0.563037i −0.165377 0.986230i \(-0.552884\pi\)
0.906039 + 0.423193i \(0.139091\pi\)
\(464\) −2.13123 7.67600i −0.0989399 0.356349i
\(465\) 0.0958631 + 1.76809i 0.00444555 + 0.0819933i
\(466\) −26.5138 2.88355i −1.22823 0.133578i
\(467\) 3.38993 2.03965i 0.156867 0.0943839i −0.434956 0.900452i \(-0.643236\pi\)
0.591823 + 0.806068i \(0.298408\pi\)
\(468\) 3.84539 + 4.52715i 0.177753 + 0.209268i
\(469\) −3.96207 + 1.33498i −0.182952 + 0.0616436i
\(470\) −0.152807 0.0706962i −0.00704847 0.00326097i
\(471\) 0.338278 0.0155870
\(472\) 0.947998 7.62242i 0.0436352 0.350850i
\(473\) 0.224888 0.0103404
\(474\) 1.36499 + 0.631511i 0.0626960 + 0.0290063i
\(475\) 16.1904 5.45519i 0.742868 0.250301i
\(476\) −2.12818 2.50549i −0.0975450 0.114839i
\(477\) −6.60426 + 3.97365i −0.302388 + 0.181941i
\(478\) 20.2492 + 2.20224i 0.926179 + 0.100728i
\(479\) 2.03860 + 37.5997i 0.0931460 + 1.71798i 0.555698 + 0.831384i \(0.312451\pi\)
−0.462552 + 0.886592i \(0.653066\pi\)
\(480\) 0.125393 + 0.451626i 0.00572340 + 0.0206138i
\(481\) 48.1867 36.6306i 2.19713 1.67021i
\(482\) −2.07321 + 0.225475i −0.0944320 + 0.0102701i
\(483\) 0.385431 + 2.35102i 0.0175377 + 0.106975i
\(484\) 9.41317 + 5.66372i 0.427871 + 0.257442i
\(485\) 2.40837 + 1.83080i 0.109359 + 0.0831322i
\(486\) 0.370138 0.928977i 0.0167898 0.0421392i
\(487\) −1.85293 + 2.18144i −0.0839645 + 0.0988506i −0.802540 0.596598i \(-0.796519\pi\)
0.718576 + 0.695449i \(0.244794\pi\)
\(488\) −1.27879 + 7.80028i −0.0578882 + 0.353102i
\(489\) −1.24002 + 22.8709i −0.0560758 + 1.03426i
\(490\) 1.87062 0.411754i 0.0845058 0.0186011i
\(491\) 14.5104 + 13.7450i 0.654845 + 0.620302i 0.941211 0.337818i \(-0.109689\pi\)
−0.286366 + 0.958120i \(0.592447\pi\)
\(492\) −3.48005 1.17256i −0.156893 0.0528633i
\(493\) 5.67889 + 14.2529i 0.255764 + 0.641920i
\(494\) 5.67937 20.4552i 0.255527 0.920325i
\(495\) −0.0547541 0.0120523i −0.00246101 0.000541710i
\(496\) −2.12004 3.12683i −0.0951927 0.140399i
\(497\) −1.05730 + 1.99428i −0.0474264 + 0.0894557i
\(498\) −4.84465 9.13799i −0.217094 0.409483i
\(499\) 5.29552 7.81030i 0.237060 0.349637i −0.690486 0.723345i \(-0.742603\pi\)
0.927546 + 0.373708i \(0.121914\pi\)
\(500\) −3.32806 + 3.15251i −0.148835 + 0.140984i
\(501\) 3.04356 1.40810i 0.135976 0.0629093i
\(502\) −12.2396 + 5.66266i −0.546281 + 0.252737i
\(503\) −16.0550 + 15.2081i −0.715856 + 0.678095i −0.956240 0.292583i \(-0.905485\pi\)
0.240384 + 0.970678i \(0.422727\pi\)
\(504\) 0.957885 1.41278i 0.0426676 0.0629300i
\(505\) −0.204030 0.384841i −0.00907921 0.0171252i
\(506\) −0.0782025 + 0.147505i −0.00347652 + 0.00655742i
\(507\) 12.5044 + 18.4427i 0.555342 + 0.819068i
\(508\) 15.1860 + 3.34269i 0.673769 + 0.148308i
\(509\) 10.7130 38.5846i 0.474844 1.71023i −0.206655 0.978414i \(-0.566258\pi\)
0.681499 0.731819i \(-0.261329\pi\)
\(510\) −0.334124 0.838588i −0.0147953 0.0371333i
\(511\) 16.0607 + 5.41147i 0.710482 + 0.239389i
\(512\) −0.725995 0.687699i −0.0320848 0.0303923i
\(513\) −3.49043 + 0.768301i −0.154106 + 0.0339213i
\(514\) −0.620990 + 11.4535i −0.0273907 + 0.505191i
\(515\) 1.29340 7.88937i 0.0569939 0.347647i
\(516\) −1.21715 + 1.43294i −0.0535821 + 0.0630818i
\(517\) −0.0159040 + 0.0399160i −0.000699456 + 0.00175550i
\(518\) −13.8470 10.5262i −0.608402 0.462495i
\(519\) 13.7180 + 8.25387i 0.602155 + 0.362305i
\(520\) 0.450415 + 2.74741i 0.0197520 + 0.120482i
\(521\) 6.96174 0.757135i 0.304999 0.0331707i 0.0456603 0.998957i \(-0.485461\pi\)
0.259339 + 0.965786i \(0.416495\pi\)
\(522\) −6.34197 + 4.82104i −0.277581 + 0.211011i
\(523\) 9.39769 + 33.8474i 0.410932 + 1.48004i 0.822553 + 0.568689i \(0.192549\pi\)
−0.411620 + 0.911355i \(0.635037\pi\)
\(524\) 0.00339071 + 0.0625379i 0.000148124 + 0.00273198i
\(525\) 8.11164 + 0.882194i 0.354021 + 0.0385021i
\(526\) 10.8634 6.53627i 0.473665 0.284995i
\(527\) 4.71020 + 5.54528i 0.205180 + 0.241556i
\(528\) 0.113354 0.0381933i 0.00493308 0.00166215i
\(529\) −19.1062 8.83945i −0.830702 0.384324i
\(530\) −3.61261 −0.156922
\(531\) −7.43194 + 1.94068i −0.322519 + 0.0842184i
\(532\) −6.10041 −0.264486
\(533\) −19.7968 9.15900i −0.857497 0.396720i
\(534\) −5.87107 + 1.97819i −0.254066 + 0.0856049i
\(535\) 2.53687 + 2.98663i 0.109678 + 0.129123i
\(536\) 2.09882 1.26282i 0.0906553 0.0545455i
\(537\) 15.9522 + 1.73491i 0.688390 + 0.0748669i
\(538\) −0.785402 14.4859i −0.0338611 0.624531i
\(539\) −0.130770 0.470992i −0.00563268 0.0202871i
\(540\) 0.373137 0.283652i 0.0160573 0.0122064i
\(541\) 41.0707 4.46671i 1.76577 0.192039i 0.833185 0.552994i \(-0.186515\pi\)
0.932583 + 0.360955i \(0.117549\pi\)
\(542\) 1.79332 + 10.9388i 0.0770298 + 0.469861i
\(543\) 7.48516 + 4.50367i 0.321219 + 0.193271i
\(544\) 1.53321 + 1.16552i 0.0657360 + 0.0499712i
\(545\) −0.883194 + 2.21665i −0.0378319 + 0.0949508i
\(546\) 6.56367 7.72735i 0.280899 0.330700i
\(547\) −5.10915 + 31.1645i −0.218452 + 1.33250i 0.618744 + 0.785593i \(0.287642\pi\)
−0.837196 + 0.546904i \(0.815806\pi\)
\(548\) −0.781649 + 14.4167i −0.0333904 + 0.615850i
\(549\) 7.71961 1.69922i 0.329465 0.0725207i
\(550\) 0.415122 + 0.393224i 0.0177009 + 0.0167671i
\(551\) 26.9813 + 9.09106i 1.14944 + 0.387292i
\(552\) −0.516623 1.29663i −0.0219889 0.0551881i
\(553\) 0.686787 2.47358i 0.0292051 0.105187i
\(554\) −6.21256 1.36749i −0.263946 0.0580990i
\(555\) −2.68039 3.95329i −0.113776 0.167808i
\(556\) 0.440637 0.831130i 0.0186872 0.0352478i
\(557\) 4.91433 + 9.26940i 0.208227 + 0.392757i 0.965524 0.260313i \(-0.0838256\pi\)
−0.757298 + 0.653070i \(0.773481\pi\)
\(558\) −2.12004 + 3.12683i −0.0897486 + 0.132369i
\(559\) −8.10761 + 7.67993i −0.342915 + 0.324827i
\(560\) 0.726095 0.335927i 0.0306831 0.0141955i
\(561\) −0.209078 + 0.0967296i −0.00882726 + 0.00408393i
\(562\) 21.1686 20.0520i 0.892944 0.845842i
\(563\) −19.7536 + 29.1344i −0.832517 + 1.22787i 0.138857 + 0.990312i \(0.455657\pi\)
−0.971373 + 0.237558i \(0.923653\pi\)
\(564\) −0.168260 0.317372i −0.00708503 0.0133638i
\(565\) −1.14952 + 2.16822i −0.0483605 + 0.0912176i
\(566\) −4.97676 7.34017i −0.209189 0.308530i
\(567\) −1.66699 0.366931i −0.0700068 0.0154097i
\(568\) 0.353784 1.27421i 0.0148444 0.0534648i
\(569\) 12.9255 + 32.4405i 0.541865 + 1.35998i 0.903872 + 0.427803i \(0.140712\pi\)
−0.362007 + 0.932175i \(0.617909\pi\)
\(570\) −1.58748 0.534883i −0.0664921 0.0224038i
\(571\) 1.33962 + 1.26896i 0.0560615 + 0.0531043i 0.715217 0.698902i \(-0.246328\pi\)
−0.659156 + 0.752006i \(0.729086\pi\)
\(572\) 0.693887 0.152736i 0.0290129 0.00638622i
\(573\) 1.48912 27.4652i 0.0622088 1.14737i
\(574\) −1.01408 + 6.18561i −0.0423268 + 0.258182i
\(575\) 4.31946 5.08526i 0.180134 0.212070i
\(576\) −0.370138 + 0.928977i −0.0154224 + 0.0387074i
\(577\) −13.3954 10.1829i −0.557658 0.423921i 0.288012 0.957627i \(-0.407006\pi\)
−0.845670 + 0.533706i \(0.820799\pi\)
\(578\) 11.3883 + 6.85213i 0.473692 + 0.285011i
\(579\) −1.10413 6.73492i −0.0458863 0.279894i
\(580\) −3.71204 + 0.403708i −0.154134 + 0.0167631i
\(581\) −14.0543 + 10.6838i −0.583069 + 0.443237i
\(582\) 1.72673 + 6.21912i 0.0715753 + 0.257791i
\(583\) 0.0499127 + 0.920585i 0.00206717 + 0.0381267i
\(584\) −9.87086 1.07352i −0.408459 0.0444226i
\(585\) 2.38556 1.43535i 0.0986309 0.0593442i
\(586\) 6.98759 + 8.22642i 0.288655 + 0.339830i
\(587\) −22.5574 + 7.60046i −0.931042 + 0.313705i −0.743641 0.668579i \(-0.766903\pi\)
−0.187401 + 0.982284i \(0.560006\pi\)
\(588\) 3.70883 + 1.71589i 0.152949 + 0.0707620i
\(589\) 13.5017 0.556330
\(590\) −3.45376 1.01648i −0.142189 0.0418480i
\(591\) 14.7686 0.607497
\(592\) 9.24845 + 4.27879i 0.380109 + 0.175857i
\(593\) 18.1086 6.10150i 0.743631 0.250558i 0.0781173 0.996944i \(-0.475109\pi\)
0.665514 + 0.746386i \(0.268213\pi\)
\(594\) −0.0774371 0.0911660i −0.00317728 0.00374059i
\(595\) −1.32026 + 0.794372i −0.0541252 + 0.0325661i
\(596\) 18.4816 + 2.01000i 0.757037 + 0.0823327i
\(597\) 0.0643652 + 1.18715i 0.00263429 + 0.0485867i
\(598\) −2.21798 7.98844i −0.0906999 0.326671i
\(599\) 38.5712 29.3211i 1.57598 1.19803i 0.701858 0.712317i \(-0.252354\pi\)
0.874120 0.485710i \(-0.161439\pi\)
\(600\) −4.75229 + 0.516842i −0.194011 + 0.0211000i
\(601\) −2.51473 15.3392i −0.102578 0.625698i −0.987212 0.159412i \(-0.949040\pi\)
0.884634 0.466286i \(-0.154408\pi\)
\(602\) 2.74977 + 1.65448i 0.112072 + 0.0674315i
\(603\) −1.94998 1.48234i −0.0794095 0.0603655i
\(604\) 4.01612 10.0797i 0.163413 0.410137i
\(605\) 3.33346 3.92446i 0.135525 0.159552i
\(606\) 0.150347 0.917076i 0.00610743 0.0372536i
\(607\) 1.02599 18.9233i 0.0416436 0.768072i −0.900908 0.434011i \(-0.857098\pi\)
0.942551 0.334061i \(-0.108419\pi\)
\(608\) 3.49043 0.768301i 0.141556 0.0311587i
\(609\) 9.87189 + 9.35115i 0.400029 + 0.378928i
\(610\) 3.51095 + 1.18298i 0.142154 + 0.0478973i
\(611\) −0.789765 1.98216i −0.0319505 0.0801896i
\(612\) 0.515239 1.85572i 0.0208273 0.0750132i
\(613\) 20.9125 + 4.60320i 0.844649 + 0.185921i 0.616156 0.787624i \(-0.288689\pi\)
0.228493 + 0.973546i \(0.426620\pi\)
\(614\) −19.5438 28.8249i −0.788722 1.16328i
\(615\) −0.806242 + 1.52073i −0.0325108 + 0.0613219i
\(616\) −0.0956349 0.180386i −0.00385324 0.00726798i
\(617\) 2.78168 4.10267i 0.111986 0.165167i −0.767566 0.640970i \(-0.778532\pi\)
0.879552 + 0.475803i \(0.157842\pi\)
\(618\) 12.3831 11.7299i 0.498123 0.471847i
\(619\) −0.294347 + 0.136179i −0.0118308 + 0.00547351i −0.425796 0.904819i \(-0.640006\pi\)
0.413965 + 0.910293i \(0.364144\pi\)
\(620\) −1.60703 + 0.743493i −0.0645400 + 0.0298594i
\(621\) −1.01331 + 0.959862i −0.0406629 + 0.0385179i
\(622\) 0.823728 1.21491i 0.0330285 0.0487134i
\(623\) 4.95335 + 9.34300i 0.198452 + 0.374319i
\(624\) −2.78229 + 5.24795i −0.111381 + 0.210086i
\(625\) −12.2075 18.0046i −0.488298 0.720186i
\(626\) −23.6714 5.21048i −0.946101 0.208253i
\(627\) −0.114369 + 0.411920i −0.00456746 + 0.0164505i
\(628\) 0.125210 + 0.314253i 0.00499641 + 0.0125400i
\(629\) −18.5984 6.26651i −0.741565 0.249862i
\(630\) −0.580824 0.550186i −0.0231406 0.0219199i
\(631\) 16.8102 3.70019i 0.669202 0.147302i 0.132641 0.991164i \(-0.457654\pi\)
0.536561 + 0.843862i \(0.319723\pi\)
\(632\) −0.0814246 + 1.50179i −0.00323890 + 0.0597380i
\(633\) 1.34767 8.22044i 0.0535652 0.326733i
\(634\) 4.86110 5.72293i 0.193059 0.227287i
\(635\) 2.69765 6.77060i 0.107053 0.268683i
\(636\) −6.13592 4.66440i −0.243305 0.184956i
\(637\) 20.7989 + 12.5143i 0.824081 + 0.495833i
\(638\) 0.154162 + 0.940345i 0.00610332 + 0.0372286i
\(639\) −1.31466 + 0.142978i −0.0520073 + 0.00565613i
\(640\) −0.373137 + 0.283652i −0.0147496 + 0.0112123i
\(641\) 7.35881 + 26.5040i 0.290655 + 1.04685i 0.954313 + 0.298809i \(0.0965895\pi\)
−0.663657 + 0.748037i \(0.730997\pi\)
\(642\) 0.452626 + 8.34819i 0.0178637 + 0.329477i
\(643\) −46.3075 5.03624i −1.82619 0.198610i −0.870337 0.492457i \(-0.836099\pi\)
−0.955853 + 0.293847i \(0.905064\pi\)
\(644\) −2.04138 + 1.22826i −0.0804417 + 0.0484002i
\(645\) 0.570492 + 0.671636i 0.0224631 + 0.0264456i
\(646\) −6.52291 + 2.19782i −0.256640 + 0.0864722i
\(647\) −40.6414 18.8027i −1.59778 0.739210i −0.599642 0.800268i \(-0.704691\pi\)
−0.998134 + 0.0610578i \(0.980553\pi\)
\(648\) 1.00000 0.0392837
\(649\) −0.211308 + 0.894151i −0.00829457 + 0.0350985i
\(650\) −28.3945 −1.11372
\(651\) 5.85229 + 2.70756i 0.229369 + 0.106117i
\(652\) −21.7055 + 7.31343i −0.850053 + 0.286416i
\(653\) 32.1737 + 37.8779i 1.25906 + 1.48228i 0.807309 + 0.590129i \(0.200923\pi\)
0.451747 + 0.892146i \(0.350801\pi\)
\(654\) −4.36210 + 2.62459i −0.170572 + 0.102630i
\(655\) 0.0291832 + 0.00317386i 0.00114028 + 0.000124013i
\(656\) −0.198813 3.66689i −0.00776235 0.143168i
\(657\) 2.65631 + 9.56715i 0.103632 + 0.373250i
\(658\) −0.488119 + 0.371059i −0.0190289 + 0.0144654i
\(659\) −1.16110 + 0.126277i −0.0452301 + 0.00491907i −0.130706 0.991421i \(-0.541724\pi\)
0.0854760 + 0.996340i \(0.472759\pi\)
\(660\) −0.00907028 0.0553263i −0.000353060 0.00215357i
\(661\) −12.8142 7.71002i −0.498413 0.299885i 0.244061 0.969760i \(-0.421520\pi\)
−0.742474 + 0.669875i \(0.766348\pi\)
\(662\) −12.1247 9.21693i −0.471238 0.358226i
\(663\) 4.23429 10.6273i 0.164446 0.412729i
\(664\) 6.69579 7.88289i 0.259847 0.305915i
\(665\) −0.462588 + 2.82166i −0.0179384 + 0.109419i
\(666\) 0.551691 10.1753i 0.0213776 0.394286i
\(667\) 10.8592 2.39028i 0.420469 0.0925522i
\(668\) 2.43463 + 2.30620i 0.0941986 + 0.0892297i
\(669\) −12.6176 4.25136i −0.487824 0.164367i
\(670\) −0.424948 1.06654i −0.0164172 0.0412040i
\(671\) 0.252944 0.911023i 0.00976481 0.0351697i
\(672\) 1.66699 + 0.366931i 0.0643053 + 0.0141547i
\(673\) 11.6996 + 17.2557i 0.450987 + 0.665156i 0.983426 0.181312i \(-0.0580345\pi\)
−0.532438 + 0.846469i \(0.678724\pi\)
\(674\) 6.30272 11.8882i 0.242772 0.457916i
\(675\) 2.23914 + 4.22346i 0.0861844 + 0.162561i
\(676\) −12.5044 + 18.4427i −0.480940 + 0.709334i
\(677\) −15.5815 + 14.7596i −0.598845 + 0.567256i −0.925909 0.377746i \(-0.876699\pi\)
0.327064 + 0.945002i \(0.393941\pi\)
\(678\) −4.75191 + 2.19847i −0.182496 + 0.0844316i
\(679\) 9.99870 4.62589i 0.383715 0.177525i
\(680\) 0.655357 0.620787i 0.0251318 0.0238061i
\(681\) 5.46332 8.05780i 0.209355 0.308775i
\(682\) 0.211664 + 0.399241i 0.00810504 + 0.0152877i
\(683\) −22.6530 + 42.7281i −0.866793 + 1.63495i −0.0982368 + 0.995163i \(0.531320\pi\)
−0.768556 + 0.639782i \(0.779025\pi\)
\(684\) −2.00567 2.95815i −0.0766889 0.113108i
\(685\) 6.60896 + 1.45474i 0.252515 + 0.0555828i
\(686\) 5.06257 18.2337i 0.193290 0.696167i
\(687\) 5.68596 + 14.2707i 0.216933 + 0.544460i
\(688\) −1.78168 0.600319i −0.0679261 0.0228870i
\(689\) −33.2374 31.4841i −1.26624 1.19945i
\(690\) −0.638912 + 0.140635i −0.0243230 + 0.00535389i
\(691\) −0.693666 + 12.7939i −0.0263883 + 0.486704i 0.955232 + 0.295858i \(0.0956056\pi\)
−0.981620 + 0.190845i \(0.938877\pi\)
\(692\) −2.59008 + 15.7988i −0.0984602 + 0.600581i
\(693\) −0.132177 + 0.155610i −0.00502098 + 0.00591115i
\(694\) −5.59142 + 14.0334i −0.212247 + 0.532700i
\(695\) −0.351015 0.266834i −0.0133147 0.0101216i
\(696\) −6.82604 4.10709i −0.258741 0.155679i
\(697\) 1.14421 + 6.97936i 0.0433400 + 0.264362i
\(698\) −24.2717 + 2.63971i −0.918699 + 0.0999145i
\(699\) −21.2319 + 16.1401i −0.803064 + 0.610473i
\(700\) 2.18289 + 7.86206i 0.0825055 + 0.297158i
\(701\) −1.86268 34.3552i −0.0703526 1.29758i −0.794217 0.607635i \(-0.792119\pi\)
0.723864 0.689943i \(-0.242364\pi\)
\(702\) 5.90506 + 0.642214i 0.222872 + 0.0242388i
\(703\) −31.2067 + 18.7764i −1.17698 + 0.708166i
\(704\) 0.0774371 + 0.0911660i 0.00291852 + 0.00343595i
\(705\) −0.159555 + 0.0537604i −0.00600919 + 0.00202473i
\(706\) 4.99997 + 2.31323i 0.188176 + 0.0870597i
\(707\) −1.58624 −0.0596569
\(708\) −4.55369 6.18578i −0.171138 0.232476i
\(709\) −47.7284 −1.79248 −0.896240 0.443570i \(-0.853712\pi\)
−0.896240 + 0.443570i \(0.853712\pi\)
\(710\) −0.562543 0.260260i −0.0211119 0.00976739i
\(711\) 1.42527 0.480228i 0.0534516 0.0180100i
\(712\) −4.01080 4.72188i −0.150311 0.176960i
\(713\) 4.51810 2.71845i 0.169204 0.101807i
\(714\) −3.26807 0.355424i −0.122305 0.0133014i
\(715\) −0.0180292 0.332530i −0.000674256 0.0124359i
\(716\) 4.29284 + 15.4614i 0.160431 + 0.577820i
\(717\) 16.2153 12.3266i 0.605573 0.460345i
\(718\) −28.7790 + 3.12991i −1.07402 + 0.116807i
\(719\) −1.94693 11.8757i −0.0726081 0.442890i −0.997963 0.0637889i \(-0.979682\pi\)
0.925355 0.379101i \(-0.123767\pi\)
\(720\) 0.401618 + 0.241646i 0.0149674 + 0.00900560i
\(721\) −23.1775 17.6191i −0.863175 0.656169i
\(722\) 2.30471 5.78439i 0.0857724 0.215273i
\(723\) −1.35008 + 1.58944i −0.0502100 + 0.0591118i
\(724\) −1.41326 + 8.62051i −0.0525235 + 0.320379i
\(725\) 2.06170 38.0259i 0.0765697 1.41225i
\(726\) 10.7289 2.36160i 0.398185 0.0876472i
\(727\) −1.98990 1.88493i −0.0738013 0.0699083i 0.649910 0.760011i \(-0.274807\pi\)
−0.723711 + 0.690103i \(0.757565\pi\)
\(728\) 9.60799 + 3.23731i 0.356096 + 0.119983i
\(729\) −0.370138 0.928977i −0.0137088 0.0344065i
\(730\) −1.24504 + 4.48423i −0.0460810 + 0.165969i
\(731\) 3.53628 + 0.778393i 0.130794 + 0.0287899i
\(732\) 4.43585 + 6.54240i 0.163954 + 0.241814i
\(733\) −6.62017 + 12.4870i −0.244522 + 0.461217i −0.975146 0.221563i \(-0.928884\pi\)
0.730624 + 0.682780i \(0.239229\pi\)
\(734\) −2.22652 4.19966i −0.0821823 0.155012i
\(735\) 1.07490 1.58535i 0.0396481 0.0584766i
\(736\) 1.01331 0.959862i 0.0373512 0.0353810i
\(737\) −0.265911 + 0.123023i −0.00979494 + 0.00453162i
\(738\) −3.33287 + 1.54195i −0.122685 + 0.0567600i
\(739\) −31.1898 + 29.5446i −1.14734 + 1.08682i −0.152196 + 0.988350i \(0.548635\pi\)
−0.995141 + 0.0984648i \(0.968607\pi\)
\(740\) 2.68039 3.95329i 0.0985332 0.145326i
\(741\) −9.94386 18.7561i −0.365297 0.689023i
\(742\) −6.16235 + 11.6234i −0.226227 + 0.426709i
\(743\) 11.8204 + 17.4339i 0.433650 + 0.639586i 0.980239 0.197815i \(-0.0633845\pi\)
−0.546589 + 0.837401i \(0.684074\pi\)
\(744\) −3.68946 0.812112i −0.135262 0.0297735i
\(745\) 2.33114 8.39600i 0.0854063 0.307606i
\(746\) 6.70634 + 16.8316i 0.245537 + 0.616250i
\(747\) −9.80139 3.30247i −0.358614 0.120831i
\(748\) −0.167247 0.158425i −0.00611516 0.00579259i
\(749\) 13.9367 3.06771i 0.509238 0.112092i
\(750\) −0.248180 + 4.57741i −0.00906226 + 0.167144i
\(751\) 6.61518 40.3508i 0.241391 1.47242i −0.536434 0.843942i \(-0.680229\pi\)
0.777825 0.628480i \(-0.216323\pi\)
\(752\) 0.232552 0.273781i 0.00848029 0.00998377i
\(753\) −4.99171 + 12.5283i −0.181908 + 0.456555i
\(754\) −37.6705 28.6364i −1.37188 1.04288i
\(755\) −4.35769 2.62193i −0.158592 0.0954219i
\(756\) −0.276144 1.68441i −0.0100433 0.0612612i
\(757\) −48.4226 + 5.26627i −1.75995 + 0.191406i −0.930280 0.366851i