Properties

Label 819.2.fy.a.50.5
Level $819$
Weight $2$
Character 819.50
Analytic conductor $6.540$
Analytic rank $0$
Dimension $336$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 819 = 3^{2} \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 819.fy (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(6.53974792554\)
Analytic rank: \(0\)
Dimension: \(336\)
Relative dimension: \(84\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 50.5
Character \(\chi\) \(=\) 819.50
Dual form 819.2.fy.a.344.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.676409 - 2.52439i) q^{2} +(1.29284 - 1.15263i) q^{3} +(-4.18297 + 2.41504i) q^{4} +(-0.237212 - 0.885285i) q^{5} +(-3.78419 - 2.48398i) q^{6} +(0.707107 - 0.707107i) q^{7} +(5.22994 + 5.22994i) q^{8} +(0.342872 - 2.98034i) q^{9} +O(q^{10})\) \(q+(-0.676409 - 2.52439i) q^{2} +(1.29284 - 1.15263i) q^{3} +(-4.18297 + 2.41504i) q^{4} +(-0.237212 - 0.885285i) q^{5} +(-3.78419 - 2.48398i) q^{6} +(0.707107 - 0.707107i) q^{7} +(5.22994 + 5.22994i) q^{8} +(0.342872 - 2.98034i) q^{9} +(-2.07435 + 1.19763i) q^{10} +(-4.48282 + 1.20117i) q^{11} +(-2.62426 + 7.94369i) q^{12} +(1.92171 - 3.05074i) q^{13} +(-2.26331 - 1.30672i) q^{14} +(-1.32709 - 0.871115i) q^{15} +(4.83475 - 8.37403i) q^{16} +(-1.79245 + 3.10462i) q^{17} +(-7.75547 + 1.15039i) q^{18} +(-5.83481 + 1.56343i) q^{19} +(3.13025 + 3.13025i) q^{20} +(0.0991412 - 1.72921i) q^{21} +(6.06444 + 10.5039i) q^{22} -8.61675 q^{23} +(12.7897 + 0.733273i) q^{24} +(3.60267 - 2.08000i) q^{25} +(-9.00113 - 2.78761i) q^{26} +(-2.99196 - 4.24831i) q^{27} +(-1.25012 + 4.66550i) q^{28} +(-2.94524 - 1.70044i) q^{29} +(-1.30138 + 3.93931i) q^{30} +(0.515850 - 0.138221i) q^{31} +(-10.1212 - 2.71195i) q^{32} +(-4.41107 + 6.71997i) q^{33} +(9.04969 + 2.42486i) q^{34} +(-0.793725 - 0.458257i) q^{35} +(5.76342 + 13.2947i) q^{36} +(2.89405 + 0.775458i) q^{37} +(7.89343 + 13.6718i) q^{38} +(-1.03192 - 6.15915i) q^{39} +(3.38938 - 5.87059i) q^{40} +(1.10671 - 1.10671i) q^{41} +(-4.43226 + 0.919382i) q^{42} -1.72852i q^{43} +(15.8506 - 15.8506i) q^{44} +(-2.71979 + 0.403432i) q^{45} +(5.82845 + 21.7521i) q^{46} +(2.06096 - 7.69162i) q^{47} +(-3.40163 - 16.3990i) q^{48} -1.00000i q^{49} +(-7.68761 - 7.68761i) q^{50} +(1.26113 + 6.07981i) q^{51} +(-0.670809 + 17.4022i) q^{52} +14.0127i q^{53} +(-8.70061 + 10.4265i) q^{54} +(2.12675 + 3.68365i) q^{55} +7.39625 q^{56} +(-5.74141 + 8.74667i) q^{57} +(-2.30038 + 8.58513i) q^{58} +(1.95236 - 7.28631i) q^{59} +(7.65494 + 0.438882i) q^{60} +13.4093 q^{61} +(-0.697850 - 1.20871i) q^{62} +(-1.86497 - 2.34987i) q^{63} +8.04513i q^{64} +(-3.15663 - 0.977594i) q^{65} +(19.9475 + 6.58981i) q^{66} +(-9.24196 - 9.24196i) q^{67} -17.3154i q^{68} +(-11.1401 + 9.93196i) q^{69} +(-0.619939 + 2.31364i) q^{70} +(0.0984490 + 0.367417i) q^{71} +(17.3802 - 13.7938i) q^{72} +(0.807556 - 0.807556i) q^{73} -7.83023i q^{74} +(2.26019 - 6.84166i) q^{75} +(20.6311 - 20.6311i) q^{76} +(-2.32048 + 4.01919i) q^{77} +(-14.8501 + 6.77107i) q^{78} +(1.94902 + 3.37579i) q^{79} +(-8.56027 - 2.29372i) q^{80} +(-8.76488 - 2.04375i) q^{81} +(-3.54234 - 2.04517i) q^{82} +(-5.13815 - 1.37676i) q^{83} +(3.76141 + 7.47267i) q^{84} +(3.17366 + 0.850380i) q^{85} +(-4.36346 + 1.16918i) q^{86} +(-5.76771 + 1.19639i) q^{87} +(-29.7269 - 17.1628i) q^{88} +(2.00933 - 7.49892i) q^{89} +(2.85811 + 6.59292i) q^{90} +(-0.798343 - 3.51606i) q^{91} +(36.0436 - 20.8098i) q^{92} +(0.507592 - 0.773284i) q^{93} -20.8107 q^{94} +(2.76817 + 4.79461i) q^{95} +(-16.2109 + 8.15986i) q^{96} +(-9.89722 - 9.89722i) q^{97} +(-2.52439 + 0.676409i) q^{98} +(2.04286 + 13.7722i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 336 q - 12 q^{6} + 36 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 336 q - 12 q^{6} + 36 q^{8} - 12 q^{11} + 4 q^{15} + 168 q^{16} - 4 q^{18} - 4 q^{21} + 8 q^{24} - 96 q^{26} + 24 q^{27} - 120 q^{30} - 72 q^{32} + 36 q^{33} + 72 q^{38} + 8 q^{39} - 48 q^{41} - 76 q^{45} + 24 q^{48} - 24 q^{50} - 36 q^{52} + 72 q^{54} + 32 q^{57} + 36 q^{58} - 72 q^{59} + 4 q^{60} + 36 q^{62} - 8 q^{63} - 72 q^{65} - 20 q^{66} - 48 q^{71} - 176 q^{72} - 60 q^{75} - 124 q^{78} - 12 q^{79} - 96 q^{80} - 20 q^{81} - 156 q^{83} - 12 q^{84} - 108 q^{85} - 24 q^{87} + 60 q^{89} - 72 q^{92} + 20 q^{93} + 96 q^{94} + 88 q^{96} - 96 q^{97} + 108 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/819\mathbb{Z}\right)^\times\).

\(n\) \(92\) \(379\) \(703\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(e\left(\frac{7}{12}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.676409 2.52439i −0.478293 1.78501i −0.608530 0.793531i \(-0.708240\pi\)
0.130237 0.991483i \(-0.458426\pi\)
\(3\) 1.29284 1.15263i 0.746422 0.665473i
\(4\) −4.18297 + 2.41504i −2.09149 + 1.20752i
\(5\) −0.237212 0.885285i −0.106084 0.395912i 0.892382 0.451281i \(-0.149033\pi\)
−0.998466 + 0.0553697i \(0.982366\pi\)
\(6\) −3.78419 2.48398i −1.54489 1.01408i
\(7\) 0.707107 0.707107i 0.267261 0.267261i
\(8\) 5.22994 + 5.22994i 1.84906 + 1.84906i
\(9\) 0.342872 2.98034i 0.114291 0.993447i
\(10\) −2.07435 + 1.19763i −0.655969 + 0.378724i
\(11\) −4.48282 + 1.20117i −1.35162 + 0.362166i −0.860733 0.509056i \(-0.829994\pi\)
−0.490889 + 0.871222i \(0.663328\pi\)
\(12\) −2.62426 + 7.94369i −0.757558 + 2.29315i
\(13\) 1.92171 3.05074i 0.532987 0.846123i
\(14\) −2.26331 1.30672i −0.604894 0.349236i
\(15\) −1.32709 0.871115i −0.342652 0.224921i
\(16\) 4.83475 8.37403i 1.20869 2.09351i
\(17\) −1.79245 + 3.10462i −0.434733 + 0.752980i −0.997274 0.0737898i \(-0.976491\pi\)
0.562541 + 0.826770i \(0.309824\pi\)
\(18\) −7.75547 + 1.15039i −1.82798 + 0.271148i
\(19\) −5.83481 + 1.56343i −1.33860 + 0.358676i −0.855914 0.517119i \(-0.827005\pi\)
−0.482684 + 0.875795i \(0.660338\pi\)
\(20\) 3.13025 + 3.13025i 0.699945 + 0.699945i
\(21\) 0.0991412 1.72921i 0.0216344 0.377345i
\(22\) 6.06444 + 10.5039i 1.29294 + 2.23944i
\(23\) −8.61675 −1.79672 −0.898359 0.439263i \(-0.855240\pi\)
−0.898359 + 0.439263i \(0.855240\pi\)
\(24\) 12.7897 + 0.733273i 2.61068 + 0.149679i
\(25\) 3.60267 2.08000i 0.720533 0.416000i
\(26\) −9.00113 2.78761i −1.76527 0.546695i
\(27\) −2.99196 4.24831i −0.575804 0.817588i
\(28\) −1.25012 + 4.66550i −0.236250 + 0.881696i
\(29\) −2.94524 1.70044i −0.546918 0.315763i 0.200960 0.979599i \(-0.435594\pi\)
−0.747878 + 0.663836i \(0.768927\pi\)
\(30\) −1.30138 + 3.93931i −0.237599 + 0.719217i
\(31\) 0.515850 0.138221i 0.0926493 0.0248253i −0.212197 0.977227i \(-0.568062\pi\)
0.304846 + 0.952402i \(0.401395\pi\)
\(32\) −10.1212 2.71195i −1.78918 0.479410i
\(33\) −4.41107 + 6.71997i −0.767868 + 1.16980i
\(34\) 9.04969 + 2.42486i 1.55201 + 0.415860i
\(35\) −0.793725 0.458257i −0.134164 0.0774597i
\(36\) 5.76342 + 13.2947i 0.960570 + 2.21579i
\(37\) 2.89405 + 0.775458i 0.475778 + 0.127484i 0.488736 0.872432i \(-0.337458\pi\)
−0.0129578 + 0.999916i \(0.504125\pi\)
\(38\) 7.89343 + 13.6718i 1.28048 + 2.21786i
\(39\) −1.03192 6.15915i −0.165239 0.986254i
\(40\) 3.38938 5.87059i 0.535909 0.928221i
\(41\) 1.10671 1.10671i 0.172838 0.172838i −0.615387 0.788225i \(-0.711000\pi\)
0.788225 + 0.615387i \(0.211000\pi\)
\(42\) −4.43226 + 0.919382i −0.683913 + 0.141864i
\(43\) 1.72852i 0.263597i −0.991277 0.131798i \(-0.957925\pi\)
0.991277 0.131798i \(-0.0420751\pi\)
\(44\) 15.8506 15.8506i 2.38957 2.38957i
\(45\) −2.71979 + 0.403432i −0.405442 + 0.0601401i
\(46\) 5.82845 + 21.7521i 0.859357 + 3.20717i
\(47\) 2.06096 7.69162i 0.300623 1.12194i −0.636026 0.771668i \(-0.719423\pi\)
0.936648 0.350271i \(-0.113910\pi\)
\(48\) −3.40163 16.3990i −0.490983 2.36699i
\(49\) 1.00000i 0.142857i
\(50\) −7.68761 7.68761i −1.08719 1.08719i
\(51\) 1.26113 + 6.07981i 0.176594 + 0.851344i
\(52\) −0.670809 + 17.4022i −0.0930245 + 2.41325i
\(53\) 14.0127i 1.92479i 0.271657 + 0.962394i \(0.412428\pi\)
−0.271657 + 0.962394i \(0.587572\pi\)
\(54\) −8.70061 + 10.4265i −1.18400 + 1.41886i
\(55\) 2.12675 + 3.68365i 0.286771 + 0.496703i
\(56\) 7.39625 0.988365
\(57\) −5.74141 + 8.74667i −0.760469 + 1.15852i
\(58\) −2.30038 + 8.58513i −0.302055 + 1.12728i
\(59\) 1.95236 7.28631i 0.254176 0.948596i −0.714372 0.699767i \(-0.753287\pi\)
0.968547 0.248830i \(-0.0800460\pi\)
\(60\) 7.65494 + 0.438882i 0.988248 + 0.0566594i
\(61\) 13.4093 1.71688 0.858441 0.512913i \(-0.171434\pi\)
0.858441 + 0.512913i \(0.171434\pi\)
\(62\) −0.697850 1.20871i −0.0886271 0.153507i
\(63\) −1.86497 2.34987i −0.234964 0.296055i
\(64\) 8.04513i 1.00564i
\(65\) −3.15663 0.977594i −0.391532 0.121256i
\(66\) 19.9475 + 6.58981i 2.45537 + 0.811150i
\(67\) −9.24196 9.24196i −1.12908 1.12908i −0.990326 0.138759i \(-0.955689\pi\)
−0.138759 0.990326i \(-0.544311\pi\)
\(68\) 17.3154i 2.09979i
\(69\) −11.1401 + 9.93196i −1.34111 + 1.19567i
\(70\) −0.619939 + 2.31364i −0.0740968 + 0.276533i
\(71\) 0.0984490 + 0.367417i 0.0116837 + 0.0436043i 0.971522 0.236951i \(-0.0761481\pi\)
−0.959838 + 0.280555i \(0.909481\pi\)
\(72\) 17.3802 13.7938i 2.04828 1.62561i
\(73\) 0.807556 0.807556i 0.0945172 0.0945172i −0.658267 0.752784i \(-0.728710\pi\)
0.752784 + 0.658267i \(0.228710\pi\)
\(74\) 7.83023i 0.910246i
\(75\) 2.26019 6.84166i 0.260985 0.790007i
\(76\) 20.6311 20.6311i 2.36655 2.36655i
\(77\) −2.32048 + 4.01919i −0.264443 + 0.458029i
\(78\) −14.8501 + 6.77107i −1.68144 + 0.766672i
\(79\) 1.94902 + 3.37579i 0.219281 + 0.379806i 0.954588 0.297928i \(-0.0962954\pi\)
−0.735307 + 0.677734i \(0.762962\pi\)
\(80\) −8.56027 2.29372i −0.957067 0.256445i
\(81\) −8.76488 2.04375i −0.973875 0.227084i
\(82\) −3.54234 2.04517i −0.391186 0.225851i
\(83\) −5.13815 1.37676i −0.563985 0.151119i −0.0344484 0.999406i \(-0.510967\pi\)
−0.529536 + 0.848287i \(0.677634\pi\)
\(84\) 3.76141 + 7.47267i 0.410403 + 0.815335i
\(85\) 3.17366 + 0.850380i 0.344232 + 0.0922366i
\(86\) −4.36346 + 1.16918i −0.470523 + 0.126076i
\(87\) −5.76771 + 1.19639i −0.618363 + 0.128267i
\(88\) −29.7269 17.1628i −3.16890 1.82956i
\(89\) 2.00933 7.49892i 0.212989 0.794884i −0.773876 0.633337i \(-0.781685\pi\)
0.986865 0.161548i \(-0.0516485\pi\)
\(90\) 2.85811 + 6.59292i 0.301271 + 0.694955i
\(91\) −0.798343 3.51606i −0.0836891 0.368583i
\(92\) 36.0436 20.8098i 3.75781 2.16957i
\(93\) 0.507592 0.773284i 0.0526349 0.0801858i
\(94\) −20.8107 −2.14646
\(95\) 2.76817 + 4.79461i 0.284008 + 0.491916i
\(96\) −16.2109 + 8.15986i −1.65452 + 0.832812i
\(97\) −9.89722 9.89722i −1.00491 1.00491i −0.999988 0.00492304i \(-0.998433\pi\)
−0.00492304 0.999988i \(-0.501567\pi\)
\(98\) −2.52439 + 0.676409i −0.255002 + 0.0683276i
\(99\) 2.04286 + 13.7722i 0.205315 + 1.38416i
\(100\) −10.0466 + 17.4012i −1.00466 + 1.74012i
\(101\) 6.65779 11.5316i 0.662475 1.14744i −0.317489 0.948262i \(-0.602840\pi\)
0.979963 0.199178i \(-0.0638271\pi\)
\(102\) 14.4948 7.29602i 1.43520 0.722414i
\(103\) 5.09168 + 2.93969i 0.501699 + 0.289656i 0.729415 0.684072i \(-0.239793\pi\)
−0.227716 + 0.973728i \(0.573126\pi\)
\(104\) 26.0056 5.90474i 2.55006 0.579008i
\(105\) −1.55436 + 0.322421i −0.151690 + 0.0314650i
\(106\) 35.3735 9.47829i 3.43577 0.920613i
\(107\) −2.76836 + 1.59831i −0.267627 + 0.154515i −0.627809 0.778367i \(-0.716048\pi\)
0.360182 + 0.932882i \(0.382715\pi\)
\(108\) 22.7751 + 10.5449i 2.19154 + 1.01468i
\(109\) −3.14000 3.14000i −0.300757 0.300757i 0.540553 0.841310i \(-0.318215\pi\)
−0.841310 + 0.540553i \(0.818215\pi\)
\(110\) 7.86041 7.86041i 0.749461 0.749461i
\(111\) 4.63536 2.33323i 0.439969 0.221461i
\(112\) −2.50265 9.34002i −0.236478 0.882549i
\(113\) 7.21615 4.16624i 0.678838 0.391927i −0.120579 0.992704i \(-0.538475\pi\)
0.799417 + 0.600776i \(0.205142\pi\)
\(114\) 25.9635 + 8.57725i 2.43171 + 0.803333i
\(115\) 2.04399 + 7.62829i 0.190603 + 0.711341i
\(116\) 16.4265 1.52516
\(117\) −8.43335 6.77338i −0.779663 0.626199i
\(118\) −19.7141 −1.81483
\(119\) 0.927841 + 3.46275i 0.0850550 + 0.317430i
\(120\) −2.38470 11.4964i −0.217692 1.04948i
\(121\) 9.12661 5.26925i 0.829692 0.479023i
\(122\) −9.07015 33.8502i −0.821172 3.06466i
\(123\) 0.155168 2.70642i 0.0139910 0.244030i
\(124\) −1.82397 + 1.82397i −0.163798 + 0.163798i
\(125\) −5.93636 5.93636i −0.530964 0.530964i
\(126\) −4.67050 + 6.29739i −0.416081 + 0.561016i
\(127\) 9.22540 5.32629i 0.818622 0.472632i −0.0313190 0.999509i \(-0.509971\pi\)
0.849941 + 0.526878i \(0.176637\pi\)
\(128\) 0.0667591 0.0178881i 0.00590073 0.00158110i
\(129\) −1.99235 2.23470i −0.175416 0.196754i
\(130\) −0.332658 + 8.62982i −0.0291760 + 0.756885i
\(131\) 3.60980 + 2.08412i 0.315390 + 0.182091i 0.649336 0.760502i \(-0.275047\pi\)
−0.333946 + 0.942592i \(0.608380\pi\)
\(132\) 2.22237 38.7623i 0.193432 3.37383i
\(133\) −3.02032 + 5.23135i −0.261895 + 0.453615i
\(134\) −17.0790 + 29.5817i −1.47540 + 2.55547i
\(135\) −3.05124 + 3.65649i −0.262609 + 0.314701i
\(136\) −25.6113 + 6.86254i −2.19615 + 0.588458i
\(137\) 2.84860 + 2.84860i 0.243372 + 0.243372i 0.818244 0.574871i \(-0.194948\pi\)
−0.574871 + 0.818244i \(0.694948\pi\)
\(138\) 32.6074 + 21.4039i 2.77573 + 1.82202i
\(139\) 7.02948 + 12.1754i 0.596233 + 1.03271i 0.993372 + 0.114947i \(0.0366697\pi\)
−0.397139 + 0.917758i \(0.629997\pi\)
\(140\) 4.42684 0.374136
\(141\) −6.20113 12.3196i −0.522229 1.03750i
\(142\) 0.860912 0.497048i 0.0722461 0.0417113i
\(143\) −4.95024 + 15.9842i −0.413960 + 1.33667i
\(144\) −23.2998 17.2804i −1.94165 1.44004i
\(145\) −0.806726 + 3.01074i −0.0669950 + 0.250029i
\(146\) −2.58482 1.49235i −0.213921 0.123508i
\(147\) −1.15263 1.29284i −0.0950676 0.106632i
\(148\) −13.9785 + 3.74552i −1.14902 + 0.307880i
\(149\) 11.3350 + 3.03720i 0.928598 + 0.248817i 0.691257 0.722609i \(-0.257057\pi\)
0.237341 + 0.971426i \(0.423724\pi\)
\(150\) −18.7998 1.07786i −1.53500 0.0880065i
\(151\) −20.4143 5.46998i −1.66129 0.445141i −0.698547 0.715564i \(-0.746170\pi\)
−0.962742 + 0.270423i \(0.912836\pi\)
\(152\) −38.6923 22.3390i −3.13836 1.81193i
\(153\) 8.63823 + 6.40660i 0.698360 + 0.517943i
\(154\) 11.7156 + 3.13918i 0.944070 + 0.252963i
\(155\) −0.244731 0.423886i −0.0196573 0.0340474i
\(156\) 19.1911 + 23.2714i 1.53652 + 1.86321i
\(157\) −11.4639 + 19.8560i −0.914916 + 1.58468i −0.107892 + 0.994163i \(0.534410\pi\)
−0.807024 + 0.590519i \(0.798923\pi\)
\(158\) 7.20349 7.20349i 0.573079 0.573079i
\(159\) 16.1515 + 18.1161i 1.28090 + 1.43670i
\(160\) 9.60342i 0.759217i
\(161\) −6.09296 + 6.09296i −0.480193 + 0.480193i
\(162\) 0.769407 + 23.5084i 0.0604503 + 1.84699i
\(163\) −3.98125 14.8582i −0.311836 1.16379i −0.926900 0.375309i \(-0.877536\pi\)
0.615064 0.788477i \(-0.289130\pi\)
\(164\) −1.95658 + 7.30205i −0.152783 + 0.570195i
\(165\) 6.99545 + 2.31100i 0.544595 + 0.179911i
\(166\) 13.9019i 1.07900i
\(167\) −0.919693 0.919693i −0.0711680 0.0711680i 0.670627 0.741795i \(-0.266025\pi\)
−0.741795 + 0.670627i \(0.766025\pi\)
\(168\) 9.56216 8.52516i 0.737737 0.657730i
\(169\) −5.61404 11.7253i −0.431849 0.901946i
\(170\) 8.58676i 0.658575i
\(171\) 2.65897 + 17.9258i 0.203337 + 1.37082i
\(172\) 4.17444 + 7.23034i 0.318298 + 0.551308i
\(173\) −13.7185 −1.04300 −0.521500 0.853251i \(-0.674627\pi\)
−0.521500 + 0.853251i \(0.674627\pi\)
\(174\) 6.92149 + 13.7507i 0.524717 + 1.04244i
\(175\) 1.07669 4.01825i 0.0813899 0.303751i
\(176\) −11.6147 + 43.3467i −0.875491 + 3.26738i
\(177\) −5.87435 11.6704i −0.441543 0.877200i
\(178\) −20.2893 −1.52075
\(179\) −0.846580 1.46632i −0.0632764 0.109598i 0.832652 0.553797i \(-0.186822\pi\)
−0.895928 + 0.444199i \(0.853488\pi\)
\(180\) 10.4025 8.25593i 0.775355 0.615361i
\(181\) 9.46664i 0.703650i 0.936066 + 0.351825i \(0.114439\pi\)
−0.936066 + 0.351825i \(0.885561\pi\)
\(182\) −8.33589 + 4.39362i −0.617898 + 0.325677i
\(183\) 17.3360 15.4560i 1.28152 1.14254i
\(184\) −45.0651 45.0651i −3.32224 3.32224i
\(185\) 2.74601i 0.201890i
\(186\) −2.29541 0.758306i −0.168308 0.0556017i
\(187\) 4.30607 16.0705i 0.314891 1.17519i
\(188\) 9.95462 + 37.1511i 0.726015 + 2.70953i
\(189\) −5.11965 0.888373i −0.372400 0.0646196i
\(190\) 10.2311 10.2311i 0.742239 0.742239i
\(191\) 9.85540i 0.713112i −0.934274 0.356556i \(-0.883951\pi\)
0.934274 0.356556i \(-0.116049\pi\)
\(192\) 9.27309 + 10.4011i 0.669228 + 0.750633i
\(193\) 6.57769 6.57769i 0.473473 0.473473i −0.429564 0.903036i \(-0.641333\pi\)
0.903036 + 0.429564i \(0.141333\pi\)
\(194\) −18.2899 + 31.6790i −1.31314 + 2.27442i
\(195\) −5.20782 + 2.37456i −0.372940 + 0.170046i
\(196\) 2.41504 + 4.18297i 0.172503 + 0.298784i
\(197\) −20.7434 5.55817i −1.47790 0.396003i −0.572270 0.820065i \(-0.693937\pi\)
−0.905633 + 0.424062i \(0.860604\pi\)
\(198\) 33.3846 14.4726i 2.37254 1.02852i
\(199\) −9.94014 5.73894i −0.704638 0.406823i 0.104435 0.994532i \(-0.466697\pi\)
−0.809072 + 0.587709i \(0.800030\pi\)
\(200\) 29.7200 + 7.96344i 2.10152 + 0.563101i
\(201\) −22.6010 1.29579i −1.59415 0.0913977i
\(202\) −33.6137 9.00677i −2.36505 0.633714i
\(203\) −3.28499 + 0.880211i −0.230561 + 0.0617787i
\(204\) −19.9583 22.3860i −1.39736 1.56733i
\(205\) −1.24227 0.717227i −0.0867641 0.0500933i
\(206\) 3.97686 14.8418i 0.277081 1.03408i
\(207\) −2.95444 + 25.6809i −0.205348 + 1.78494i
\(208\) −16.2560 30.8421i −1.12715 2.13851i
\(209\) 24.2785 14.0172i 1.67938 0.969589i
\(210\) 1.86530 + 3.70573i 0.128718 + 0.255720i
\(211\) 20.8968 1.43859 0.719296 0.694704i \(-0.244464\pi\)
0.719296 + 0.694704i \(0.244464\pi\)
\(212\) −33.8412 58.6146i −2.32422 4.02567i
\(213\) 0.550776 + 0.361535i 0.0377385 + 0.0247720i
\(214\) 5.90731 + 5.90731i 0.403815 + 0.403815i
\(215\) −1.53023 + 0.410024i −0.104361 + 0.0279634i
\(216\) 6.57063 37.8662i 0.447074 2.57647i
\(217\) 0.267023 0.462498i 0.0181267 0.0313964i
\(218\) −5.80266 + 10.0505i −0.393005 + 0.680705i
\(219\) 0.113225 1.97486i 0.00765102 0.133448i
\(220\) −17.7923 10.2724i −1.19956 0.692564i
\(221\) 6.02680 + 11.4345i 0.405407 + 0.769166i
\(222\) −9.02539 10.1232i −0.605744 0.679427i
\(223\) −2.75407 + 0.737950i −0.184426 + 0.0494168i −0.349850 0.936806i \(-0.613767\pi\)
0.165424 + 0.986223i \(0.447101\pi\)
\(224\) −9.07438 + 5.23909i −0.606307 + 0.350052i
\(225\) −4.96386 11.4504i −0.330924 0.763357i
\(226\) −15.3983 15.3983i −1.02428 1.02428i
\(227\) 5.48148 5.48148i 0.363819 0.363819i −0.501398 0.865217i \(-0.667181\pi\)
0.865217 + 0.501398i \(0.167181\pi\)
\(228\) 2.89262 50.4528i 0.191568 3.34132i
\(229\) 1.06220 + 3.96418i 0.0701921 + 0.261960i 0.992100 0.125448i \(-0.0400369\pi\)
−0.921908 + 0.387409i \(0.873370\pi\)
\(230\) 17.8742 10.3197i 1.17859 0.680459i
\(231\) 1.63264 + 7.87083i 0.107420 + 0.517863i
\(232\) −6.51025 24.2966i −0.427419 1.59515i
\(233\) 24.2863 1.59105 0.795525 0.605921i \(-0.207195\pi\)
0.795525 + 0.605921i \(0.207195\pi\)
\(234\) −11.3943 + 25.8706i −0.744866 + 1.69122i
\(235\) −7.29817 −0.476080
\(236\) 9.43005 + 35.1934i 0.613844 + 2.29090i
\(237\) 6.41082 + 2.11786i 0.416427 + 0.137570i
\(238\) 8.11373 4.68447i 0.525935 0.303649i
\(239\) −3.78086 14.1104i −0.244563 0.912723i −0.973602 0.228251i \(-0.926699\pi\)
0.729039 0.684472i \(-0.239967\pi\)
\(240\) −13.7109 + 6.90144i −0.885033 + 0.445486i
\(241\) −3.92680 + 3.92680i −0.252947 + 0.252947i −0.822178 0.569231i \(-0.807241\pi\)
0.569231 + 0.822178i \(0.307241\pi\)
\(242\) −19.4750 19.4750i −1.25190 1.25190i
\(243\) −13.6873 + 7.46045i −0.878040 + 0.478588i
\(244\) −56.0906 + 32.3839i −3.59083 + 2.07317i
\(245\) −0.885285 + 0.237212i −0.0565588 + 0.0151549i
\(246\) −6.93702 + 1.43894i −0.442288 + 0.0917435i
\(247\) −6.44320 + 20.8050i −0.409971 + 1.32379i
\(248\) 3.42075 + 1.97497i 0.217218 + 0.125411i
\(249\) −8.22971 + 4.14247i −0.521536 + 0.262518i
\(250\) −10.9703 + 19.0011i −0.693822 + 1.20173i
\(251\) −4.88928 + 8.46847i −0.308608 + 0.534525i −0.978058 0.208332i \(-0.933197\pi\)
0.669450 + 0.742857i \(0.266530\pi\)
\(252\) 13.4761 + 5.32544i 0.848918 + 0.335471i
\(253\) 38.6274 10.3502i 2.42848 0.650710i
\(254\) −19.6858 19.6858i −1.23520 1.23520i
\(255\) 5.08321 2.55866i 0.318323 0.160230i
\(256\) 7.95482 + 13.7782i 0.497176 + 0.861135i
\(257\) −8.18966 −0.510857 −0.255428 0.966828i \(-0.582216\pi\)
−0.255428 + 0.966828i \(0.582216\pi\)
\(258\) −4.29361 + 6.54103i −0.267308 + 0.407227i
\(259\) 2.59473 1.49807i 0.161229 0.0930855i
\(260\) 15.5650 3.53414i 0.965301 0.219178i
\(261\) −6.07772 + 8.19480i −0.376202 + 0.507245i
\(262\) 2.81944 10.5223i 0.174185 0.650068i
\(263\) −12.8141 7.39823i −0.790152 0.456194i 0.0498641 0.998756i \(-0.484121\pi\)
−0.840016 + 0.542562i \(0.817455\pi\)
\(264\) −58.2146 + 12.0754i −3.58286 + 0.743191i
\(265\) 12.4052 3.32397i 0.762046 0.204190i
\(266\) 15.2489 + 4.08594i 0.934972 + 0.250525i
\(267\) −6.04577 12.0109i −0.369995 0.735057i
\(268\) 60.9785 + 16.3391i 3.72486 + 0.998072i
\(269\) −22.2758 12.8609i −1.35818 0.784145i −0.368801 0.929508i \(-0.620232\pi\)
−0.989378 + 0.145363i \(0.953565\pi\)
\(270\) 11.2943 + 5.22924i 0.687349 + 0.318242i
\(271\) 27.0677 + 7.25276i 1.64424 + 0.440574i 0.957993 0.286792i \(-0.0925889\pi\)
0.686250 + 0.727366i \(0.259256\pi\)
\(272\) 17.3321 + 30.0201i 1.05091 + 1.82023i
\(273\) −5.08485 3.62550i −0.307749 0.219425i
\(274\) 5.26416 9.11780i 0.318020 0.550826i
\(275\) −13.6517 + 13.6517i −0.823227 + 0.823227i
\(276\) 22.6126 68.4488i 1.36112 4.12014i
\(277\) 16.9171i 1.01645i −0.861224 0.508225i \(-0.830302\pi\)
0.861224 0.508225i \(-0.169698\pi\)
\(278\) 25.9807 25.9807i 1.55822 1.55822i
\(279\) −0.235077 1.58480i −0.0140737 0.0948795i
\(280\) −1.75447 6.54779i −0.104850 0.391305i
\(281\) 2.72300 10.1624i 0.162441 0.606236i −0.835912 0.548863i \(-0.815061\pi\)
0.998353 0.0573733i \(-0.0182725\pi\)
\(282\) −26.9049 + 23.9871i −1.60217 + 1.42841i
\(283\) 1.22417i 0.0727694i 0.999338 + 0.0363847i \(0.0115842\pi\)
−0.999338 + 0.0363847i \(0.988416\pi\)
\(284\) −1.29913 1.29913i −0.0770895 0.0770895i
\(285\) 9.10523 + 3.00798i 0.539347 + 0.178177i
\(286\) 43.6988 + 1.68448i 2.58397 + 0.0996053i
\(287\) 1.56512i 0.0923860i
\(288\) −11.5528 + 29.2346i −0.680756 + 1.72267i
\(289\) 2.07424 + 3.59269i 0.122014 + 0.211335i
\(290\) 8.14597 0.478348
\(291\) −24.2034 1.38766i −1.41883 0.0813460i
\(292\) −1.42770 + 5.32826i −0.0835500 + 0.311813i
\(293\) −1.37477 + 5.13071i −0.0803149 + 0.299739i −0.994386 0.105815i \(-0.966255\pi\)
0.914071 + 0.405554i \(0.132922\pi\)
\(294\) −2.48398 + 3.78419i −0.144869 + 0.220698i
\(295\) −6.91358 −0.402524
\(296\) 11.0801 + 19.1913i 0.644017 + 1.11547i
\(297\) 18.5154 + 15.4506i 1.07437 + 0.896533i
\(298\) 30.6683i 1.77657i
\(299\) −16.5589 + 26.2875i −0.957627 + 1.52024i
\(300\) 7.06856 + 34.0769i 0.408103 + 1.96743i
\(301\) −1.22225 1.22225i −0.0704491 0.0704491i
\(302\) 55.2335i 3.17833i
\(303\) −4.68428 22.5825i −0.269105 1.29733i
\(304\) −15.1176 + 56.4197i −0.867055 + 3.23589i
\(305\) −3.18083 11.8710i −0.182134 0.679733i
\(306\) 10.3298 26.1398i 0.590515 1.49431i
\(307\) −9.29517 + 9.29517i −0.530503 + 0.530503i −0.920722 0.390219i \(-0.872399\pi\)
0.390219 + 0.920722i \(0.372399\pi\)
\(308\) 22.4162i 1.27728i
\(309\) 9.97111 2.06830i 0.567237 0.117662i
\(310\) −0.904517 + 0.904517i −0.0513731 + 0.0513731i
\(311\) 6.75475 11.6996i 0.383026 0.663421i −0.608467 0.793579i \(-0.708215\pi\)
0.991493 + 0.130158i \(0.0415485\pi\)
\(312\) 26.8151 37.6088i 1.51811 2.12918i
\(313\) 7.05641 + 12.2221i 0.398852 + 0.690831i 0.993585 0.113092i \(-0.0360755\pi\)
−0.594733 + 0.803923i \(0.702742\pi\)
\(314\) 57.8786 + 15.5085i 3.26628 + 0.875196i
\(315\) −1.63791 + 2.20845i −0.0922858 + 0.124432i
\(316\) −16.3053 9.41390i −0.917248 0.529573i
\(317\) 17.0133 + 4.55869i 0.955561 + 0.256042i 0.702720 0.711466i \(-0.251969\pi\)
0.252840 + 0.967508i \(0.418635\pi\)
\(318\) 34.8072 53.0266i 1.95189 2.97358i
\(319\) 15.2455 + 4.08502i 0.853585 + 0.228717i
\(320\) 7.12224 1.90840i 0.398145 0.106683i
\(321\) −1.73678 + 5.25727i −0.0969375 + 0.293432i
\(322\) 19.5024 + 11.2597i 1.08682 + 0.627478i
\(323\) 5.60475 20.9172i 0.311857 1.16387i
\(324\) 41.5990 12.6186i 2.31105 0.701031i
\(325\) 0.577748 14.9880i 0.0320477 0.831383i
\(326\) −34.8150 + 20.1005i −1.92823 + 1.11326i
\(327\) −7.67878 0.440249i −0.424637 0.0243458i
\(328\) 11.5760 0.639177
\(329\) −3.98148 6.89612i −0.219506 0.380195i
\(330\) 1.10208 19.2224i 0.0606677 1.05816i
\(331\) 18.2315 + 18.2315i 1.00209 + 1.00209i 0.999998 + 0.00209635i \(0.000667289\pi\)
0.00209635 + 0.999998i \(0.499333\pi\)
\(332\) 24.8177 6.64987i 1.36205 0.364959i
\(333\) 3.30342 8.35937i 0.181026 0.458090i
\(334\) −1.69958 + 2.94375i −0.0929967 + 0.161075i
\(335\) −5.98947 + 10.3741i −0.327240 + 0.566796i
\(336\) −14.0011 9.19052i −0.763825 0.501384i
\(337\) −22.0287 12.7183i −1.19998 0.692809i −0.239430 0.970914i \(-0.576961\pi\)
−0.960551 + 0.278104i \(0.910294\pi\)
\(338\) −25.8018 + 22.1031i −1.40344 + 1.20225i
\(339\) 4.52717 13.7039i 0.245882 0.744292i
\(340\) −15.3290 + 4.10740i −0.831333 + 0.222755i
\(341\) −2.14644 + 1.23924i −0.116236 + 0.0671089i
\(342\) 43.4531 18.8374i 2.34968 1.01861i
\(343\) −0.707107 0.707107i −0.0381802 0.0381802i
\(344\) 9.04004 9.04004i 0.487406 0.487406i
\(345\) 11.4352 + 7.50618i 0.615649 + 0.404119i
\(346\) 9.27933 + 34.6309i 0.498860 + 1.86177i
\(347\) 3.92097 2.26377i 0.210489 0.121526i −0.391050 0.920370i \(-0.627888\pi\)
0.601538 + 0.798844i \(0.294555\pi\)
\(348\) 21.2368 18.9337i 1.13841 1.01495i
\(349\) −4.53175 16.9127i −0.242579 0.905317i −0.974585 0.224019i \(-0.928082\pi\)
0.732006 0.681299i \(-0.238584\pi\)
\(350\) −10.8719 −0.581129
\(351\) −18.7102 + 0.963668i −0.998676 + 0.0514368i
\(352\) 48.6288 2.59193
\(353\) 6.14343 + 22.9276i 0.326982 + 1.22031i 0.912304 + 0.409513i \(0.134301\pi\)
−0.585322 + 0.810801i \(0.699032\pi\)
\(354\) −25.4872 + 22.7231i −1.35463 + 1.20772i
\(355\) 0.301915 0.174311i 0.0160240 0.00925146i
\(356\) 9.70523 + 36.2204i 0.514376 + 1.91968i
\(357\) 5.19083 + 3.40732i 0.274728 + 0.180335i
\(358\) −3.12893 + 3.12893i −0.165369 + 0.165369i
\(359\) −12.7928 12.7928i −0.675181 0.675181i 0.283725 0.958906i \(-0.408430\pi\)
−0.958906 + 0.283725i \(0.908430\pi\)
\(360\) −16.3342 12.1144i −0.860890 0.638484i
\(361\) 15.1462 8.74467i 0.797169 0.460246i
\(362\) 23.8975 6.40331i 1.25602 0.336551i
\(363\) 5.72574 17.3319i 0.300523 0.909691i
\(364\) 11.8309 + 12.7795i 0.620106 + 0.669829i
\(365\) −0.906479 0.523356i −0.0474473 0.0273937i
\(366\) −50.7432 33.3084i −2.65239 1.74106i
\(367\) 9.24233 16.0082i 0.482446 0.835620i −0.517351 0.855773i \(-0.673082\pi\)
0.999797 + 0.0201528i \(0.00641526\pi\)
\(368\) −41.6599 + 72.1570i −2.17167 + 3.76144i
\(369\) −2.91890 3.67782i −0.151952 0.191460i
\(370\) −6.93199 + 1.85742i −0.360377 + 0.0965627i
\(371\) 9.90845 + 9.90845i 0.514421 + 0.514421i
\(372\) −0.255734 + 4.46048i −0.0132592 + 0.231265i
\(373\) 2.78239 + 4.81924i 0.144067 + 0.249531i 0.929024 0.370019i \(-0.120649\pi\)
−0.784958 + 0.619549i \(0.787315\pi\)
\(374\) −43.4808 −2.24834
\(375\) −14.5172 0.832318i −0.749665 0.0429807i
\(376\) 51.0054 29.4480i 2.63040 1.51866i
\(377\) −10.8475 + 5.71742i −0.558675 + 0.294462i
\(378\) 1.22037 + 13.5249i 0.0627692 + 0.695646i
\(379\) −2.35205 + 8.77796i −0.120817 + 0.450893i −0.999656 0.0262240i \(-0.991652\pi\)
0.878840 + 0.477117i \(0.158318\pi\)
\(380\) −23.1583 13.3705i −1.18800 0.685891i
\(381\) 5.78771 17.5195i 0.296514 0.897554i
\(382\) −24.8789 + 6.66628i −1.27291 + 0.341076i
\(383\) 25.3644 + 6.79637i 1.29606 + 0.347278i 0.839959 0.542649i \(-0.182579\pi\)
0.456102 + 0.889928i \(0.349245\pi\)
\(384\) 0.0656905 0.100075i 0.00335226 0.00510694i
\(385\) 4.10857 + 1.10089i 0.209392 + 0.0561065i
\(386\) −21.0539 12.1555i −1.07161 0.618697i
\(387\) −5.15157 0.592661i −0.261869 0.0301266i
\(388\) 65.3020 + 17.4976i 3.31521 + 0.888307i
\(389\) −4.66374 8.07784i −0.236461 0.409563i 0.723235 0.690602i \(-0.242654\pi\)
−0.959696 + 0.281039i \(0.909321\pi\)
\(390\) 9.51694 + 11.5404i 0.481909 + 0.584371i
\(391\) 15.4451 26.7517i 0.781092 1.35289i
\(392\) 5.22994 5.22994i 0.264152 0.264152i
\(393\) 7.06913 1.46635i 0.356590 0.0739673i
\(394\) 56.1239i 2.82748i
\(395\) 2.52621 2.52621i 0.127108 0.127108i
\(396\) −41.8056 52.6751i −2.10081 2.64702i
\(397\) −2.55465 9.53410i −0.128214 0.478503i 0.871719 0.490005i \(-0.163005\pi\)
−0.999934 + 0.0115027i \(0.996338\pi\)
\(398\) −7.76374 + 28.9747i −0.389161 + 1.45237i
\(399\) 2.12504 + 10.2446i 0.106385 + 0.512872i
\(400\) 40.2251i 2.01126i
\(401\) 24.8946 + 24.8946i 1.24318 + 1.24318i 0.958676 + 0.284500i \(0.0918277\pi\)
0.284500 + 0.958676i \(0.408172\pi\)
\(402\) 12.0164 + 57.9302i 0.599324 + 2.88929i
\(403\) 0.569637 1.83935i 0.0283756 0.0916243i
\(404\) 64.3153i 3.19980i
\(405\) 0.269825 + 8.24422i 0.0134077 + 0.409659i
\(406\) 4.44399 + 7.69722i 0.220552 + 0.382007i
\(407\) −13.9050 −0.689243
\(408\) −25.2014 + 38.3927i −1.24765 + 1.90072i
\(409\) −0.754191 + 2.81468i −0.0372923 + 0.139177i −0.982062 0.188558i \(-0.939619\pi\)
0.944770 + 0.327735i \(0.106285\pi\)
\(410\) −0.970277 + 3.62112i −0.0479186 + 0.178834i
\(411\) 6.96618 + 0.399393i 0.343616 + 0.0197006i
\(412\) −28.3978 −1.39906
\(413\) −3.77167 6.53272i −0.185592 0.321454i
\(414\) 66.8270 9.91259i 3.28437 0.487177i
\(415\) 4.87531i 0.239320i
\(416\) −27.7234 + 25.6654i −1.35925 + 1.25835i
\(417\) 23.1218 + 7.63845i 1.13228 + 0.374057i
\(418\) −51.8070 51.8070i −2.53396 2.53396i
\(419\) 1.18244i 0.0577661i 0.999583 + 0.0288830i \(0.00919504\pi\)
−0.999583 + 0.0288830i \(0.990805\pi\)
\(420\) 5.72320 5.10252i 0.279263 0.248978i
\(421\) 7.27964 27.1680i 0.354788 1.32409i −0.525964 0.850507i \(-0.676295\pi\)
0.880751 0.473579i \(-0.157038\pi\)
\(422\) −14.1347 52.7516i −0.688069 2.56791i
\(423\) −22.2170 8.77962i −1.08023 0.426880i
\(424\) −73.2854 + 73.2854i −3.55905 + 3.55905i
\(425\) 14.9132i 0.723396i
\(426\) 0.540108 1.63492i 0.0261683 0.0792121i
\(427\) 9.48179 9.48179i 0.458856 0.458856i
\(428\) 7.71998 13.3714i 0.373159 0.646331i
\(429\) 12.0241 + 26.3709i 0.580528 + 1.27320i
\(430\) 2.07012 + 3.58556i 0.0998302 + 0.172911i
\(431\) −11.5341 3.09055i −0.555578 0.148867i −0.0299042 0.999553i \(-0.509520\pi\)
−0.525674 + 0.850686i \(0.676187\pi\)
\(432\) −50.0409 + 4.51527i −2.40759 + 0.217241i
\(433\) 25.1119 + 14.4984i 1.20680 + 0.696748i 0.962059 0.272840i \(-0.0879631\pi\)
0.244743 + 0.969588i \(0.421296\pi\)
\(434\) −1.34814 0.361234i −0.0647129 0.0173398i
\(435\) 2.42732 + 4.82227i 0.116381 + 0.231210i
\(436\) 20.7177 + 5.55130i 0.992199 + 0.265859i
\(437\) 50.2771 13.4717i 2.40508 0.644439i
\(438\) −5.06189 + 1.04999i −0.241867 + 0.0501703i
\(439\) −33.5193 19.3524i −1.59979 0.923640i −0.991526 0.129906i \(-0.958533\pi\)
−0.608265 0.793734i \(-0.708134\pi\)
\(440\) −8.14245 + 30.3880i −0.388176 + 1.44869i
\(441\) −2.98034 0.342872i −0.141921 0.0163272i
\(442\) 24.7885 22.9484i 1.17907 1.09154i
\(443\) −0.609461 + 0.351873i −0.0289564 + 0.0167180i −0.514408 0.857545i \(-0.671988\pi\)
0.485452 + 0.874263i \(0.338655\pi\)
\(444\) −13.7547 + 20.9544i −0.652770 + 0.994453i
\(445\) −7.11533 −0.337299
\(446\) 3.72575 + 6.45319i 0.176419 + 0.305567i
\(447\) 18.1551 9.13847i 0.858707 0.432235i
\(448\) 5.68877 + 5.68877i 0.268769 + 0.268769i
\(449\) 9.03388 2.42062i 0.426335 0.114236i −0.0392702 0.999229i \(-0.512503\pi\)
0.465605 + 0.884992i \(0.345837\pi\)
\(450\) −25.5476 + 20.2758i −1.20432 + 0.955812i
\(451\) −3.63182 + 6.29050i −0.171016 + 0.296208i
\(452\) −20.1233 + 34.8546i −0.946520 + 1.63942i
\(453\) −32.6973 + 16.4583i −1.53625 + 0.773280i
\(454\) −17.5451 10.1297i −0.823434 0.475410i
\(455\) −2.92334 + 1.54081i −0.137048 + 0.0722343i
\(456\) −75.7717 + 15.7173i −3.54834 + 0.736029i
\(457\) −3.83391 + 1.02729i −0.179343 + 0.0480547i −0.347373 0.937727i \(-0.612926\pi\)
0.168030 + 0.985782i \(0.446259\pi\)
\(458\) 9.28866 5.36281i 0.434030 0.250588i
\(459\) 18.5523 1.67400i 0.865948 0.0781359i
\(460\) −26.9726 26.9726i −1.25760 1.25760i
\(461\) −7.23536 + 7.23536i −0.336984 + 0.336984i −0.855231 0.518247i \(-0.826585\pi\)
0.518247 + 0.855231i \(0.326585\pi\)
\(462\) 18.7647 9.44532i 0.873014 0.439436i
\(463\) −4.34694 16.2230i −0.202019 0.753946i −0.990337 0.138678i \(-0.955715\pi\)
0.788318 0.615268i \(-0.210952\pi\)
\(464\) −28.4790 + 16.4424i −1.32211 + 0.763318i
\(465\) −0.804984 0.265932i −0.0373302 0.0123323i
\(466\) −16.4275 61.3082i −0.760988 2.84005i
\(467\) 0.317382 0.0146867 0.00734335 0.999973i \(-0.497663\pi\)
0.00734335 + 0.999973i \(0.497663\pi\)
\(468\) 51.6344 + 7.96596i 2.38680 + 0.368227i
\(469\) −13.0701 −0.603521
\(470\) 4.93654 + 18.4234i 0.227706 + 0.849809i
\(471\) 8.06574 + 38.8843i 0.371650 + 1.79169i
\(472\) 48.3176 27.8962i 2.22400 1.28403i
\(473\) 2.07624 + 7.74864i 0.0954657 + 0.356283i
\(474\) 1.00998 17.6160i 0.0463899 0.809127i
\(475\) −17.7689 + 17.7689i −0.815295 + 0.815295i
\(476\) −12.2438 12.2438i −0.561194 0.561194i
\(477\) 41.7626 + 4.80455i 1.91218 + 0.219985i
\(478\) −33.0627 + 19.0887i −1.51225 + 0.873098i
\(479\) −6.88654 + 1.84524i −0.314654 + 0.0843113i −0.412690 0.910872i \(-0.635411\pi\)
0.0980358 + 0.995183i \(0.468744\pi\)
\(480\) 11.0692 + 12.4157i 0.505238 + 0.566696i
\(481\) 7.92725 7.33878i 0.361451 0.334620i
\(482\) 12.5689 + 7.25665i 0.572497 + 0.330531i
\(483\) −0.854275 + 14.9002i −0.0388709 + 0.677982i
\(484\) −25.4509 + 44.0823i −1.15686 + 2.00374i
\(485\) −6.41413 + 11.1096i −0.291251 + 0.504461i
\(486\) 28.0913 + 29.5057i 1.27425 + 1.33841i
\(487\) 35.4779 9.50628i 1.60766 0.430771i 0.660315 0.750989i \(-0.270423\pi\)
0.947344 + 0.320218i \(0.103756\pi\)
\(488\) 70.1296 + 70.1296i 3.17462 + 3.17462i
\(489\) −22.2732 14.6204i −1.00723 0.661157i
\(490\) 1.19763 + 2.07435i 0.0541034 + 0.0937098i
\(491\) 23.1645 1.04540 0.522701 0.852516i \(-0.324925\pi\)
0.522701 + 0.852516i \(0.324925\pi\)
\(492\) 5.88705 + 11.6956i 0.265409 + 0.527279i
\(493\) 10.5584 6.09590i 0.475526 0.274545i
\(494\) 56.8781 + 2.19251i 2.55907 + 0.0986455i
\(495\) 11.7077 5.07544i 0.526223 0.228124i
\(496\) 1.33653 4.98801i 0.0600121 0.223968i
\(497\) 0.329417 + 0.190189i 0.0147764 + 0.00853114i
\(498\) 16.0238 + 17.9730i 0.718046 + 0.805389i
\(499\) 19.1775 5.13859i 0.858501 0.230035i 0.197392 0.980325i \(-0.436753\pi\)
0.661109 + 0.750290i \(0.270086\pi\)
\(500\) 39.1681 + 10.4951i 1.75165 + 0.469354i
\(501\) −2.24909 0.128947i −0.100482 0.00576094i
\(502\) 24.6849 + 6.61430i 1.10174 + 0.295210i
\(503\) 36.0121 + 20.7916i 1.60570 + 0.927051i 0.990317 + 0.138823i \(0.0443320\pi\)
0.615383 + 0.788228i \(0.289001\pi\)
\(504\) 2.53597 22.0433i 0.112961 0.981889i
\(505\) −11.7881 3.15861i −0.524563 0.140556i
\(506\) −52.2558 90.5097i −2.32305 4.02364i
\(507\) −20.7730 8.68800i −0.922562 0.385848i
\(508\) −25.7264 + 44.5594i −1.14142 + 1.97700i
\(509\) 19.4166 19.4166i 0.860626 0.860626i −0.130785 0.991411i \(-0.541750\pi\)
0.991411 + 0.130785i \(0.0417498\pi\)
\(510\) −9.89739 11.1013i −0.438264 0.491575i
\(511\) 1.14206i 0.0505216i
\(512\) 29.4985 29.4985i 1.30366 1.30366i
\(513\) 24.0995 + 20.1104i 1.06402 + 0.887894i
\(514\) 5.53955 + 20.6739i 0.244339 + 0.911886i
\(515\) 1.39465 5.20492i 0.0614558 0.229356i
\(516\) 13.7308 + 4.53608i 0.604465 + 0.199690i
\(517\) 36.9557i 1.62531i
\(518\) −5.53681 5.53681i −0.243273 0.243273i
\(519\) −17.7359 + 15.8124i −0.778518 + 0.694089i
\(520\) −11.3962 21.6217i −0.499757 0.948175i
\(521\) 30.5264i 1.33739i 0.743538 + 0.668693i \(0.233146\pi\)
−0.743538 + 0.668693i \(0.766854\pi\)
\(522\) 24.7979 + 9.79952i 1.08537 + 0.428913i
\(523\) 2.04772 + 3.54676i 0.0895407 + 0.155089i 0.907317 0.420447i \(-0.138127\pi\)
−0.817776 + 0.575536i \(0.804793\pi\)
\(524\) −20.1329 −0.879512
\(525\) −3.23959 6.43598i −0.141387 0.280889i
\(526\) −10.0085 + 37.3521i −0.436389 + 1.62863i
\(527\) −0.495510 + 1.84927i −0.0215848 + 0.0805555i
\(528\) 34.9469 + 69.4278i 1.52087 + 3.02146i
\(529\) 51.2484 2.22819
\(530\) −16.7820 29.0673i −0.728963 1.26260i
\(531\) −21.0463 8.31697i −0.913331 0.360926i
\(532\) 29.1768i 1.26497i
\(533\) −1.24950 5.50304i −0.0541219 0.238363i
\(534\) −26.2309 + 23.3862i −1.13512 + 1.01202i
\(535\) 2.07165 + 2.07165i 0.0895653 + 0.0895653i
\(536\) 96.6697i 4.17549i
\(537\) −2.78462 0.919921i −0.120165 0.0396975i
\(538\) −17.3985 + 64.9321i −0.750103 + 2.79942i
\(539\) 1.20117 + 4.48282i 0.0517380 + 0.193089i
\(540\) 3.93268 22.6639i 0.169236 0.975297i
\(541\) −13.1548 + 13.1548i −0.565571 + 0.565571i −0.930884 0.365314i \(-0.880962\pi\)
0.365314 + 0.930884i \(0.380962\pi\)
\(542\) 73.2352i 3.14572i
\(543\) 10.9116 + 12.2389i 0.468260 + 0.525219i
\(544\) 26.5612 26.5612i 1.13880 1.13880i
\(545\) −2.03495 + 3.52464i −0.0871676 + 0.150979i
\(546\) −5.71274 + 15.2885i −0.244483 + 0.654287i
\(547\) 7.35471 + 12.7387i 0.314465 + 0.544669i 0.979324 0.202300i \(-0.0648417\pi\)
−0.664859 + 0.746969i \(0.731508\pi\)
\(548\) −18.7951 5.03613i −0.802887 0.215133i
\(549\) 4.59767 39.9642i 0.196224 1.70563i
\(550\) 43.6963 + 25.2281i 1.86322 + 1.07573i
\(551\) 19.8434 + 5.31704i 0.845359 + 0.226513i
\(552\) −110.205 6.31843i −4.69065 0.268930i
\(553\) 3.76521 + 1.00888i 0.160113 + 0.0429021i
\(554\) −42.7054 + 11.4429i −1.81438 + 0.486161i
\(555\) −3.16514 3.55015i −0.134353 0.150695i
\(556\) −58.8082 33.9529i −2.49402 1.43993i
\(557\) −0.558580 + 2.08465i −0.0236678 + 0.0883294i −0.976750 0.214384i \(-0.931226\pi\)
0.953082 + 0.302713i \(0.0978924\pi\)
\(558\) −3.84165 + 1.66540i −0.162630 + 0.0705019i
\(559\) −5.27326 3.32172i −0.223035 0.140494i
\(560\) −7.67493 + 4.43112i −0.324325 + 0.187249i
\(561\) −12.9563 25.7399i −0.547016 1.08674i
\(562\) −27.4957 −1.15983
\(563\) −13.4745 23.3385i −0.567882 0.983600i −0.996775 0.0802449i \(-0.974430\pi\)
0.428893 0.903355i \(-0.358904\pi\)
\(564\) 55.6914 + 36.5565i 2.34503 + 1.53931i
\(565\) −5.40007 5.40007i −0.227183 0.227183i
\(566\) 3.09028 0.828039i 0.129894 0.0348051i
\(567\) −7.64286 + 4.75255i −0.320970 + 0.199588i
\(568\) −1.40668 + 2.43645i −0.0590231 + 0.102231i
\(569\) 18.9762 32.8678i 0.795525 1.37789i −0.126981 0.991905i \(-0.540529\pi\)
0.922506 0.385984i \(-0.126138\pi\)
\(570\) 1.43446 25.0198i 0.0600831 1.04796i
\(571\) 6.52130 + 3.76508i 0.272908 + 0.157564i 0.630208 0.776426i \(-0.282969\pi\)
−0.357300 + 0.933990i \(0.616303\pi\)
\(572\) −17.8958 78.8166i −0.748262 3.29549i
\(573\) −11.3597 12.7415i −0.474557 0.532282i
\(574\) −3.95097 + 1.05866i −0.164910 + 0.0441876i
\(575\) −31.0433 + 17.9228i −1.29459 + 0.747434i
\(576\) 23.9773 + 2.75845i 0.999052 + 0.114936i
\(577\) −6.03650 6.03650i −0.251303 0.251303i 0.570202 0.821505i \(-0.306865\pi\)
−0.821505 + 0.570202i \(0.806865\pi\)
\(578\) 7.66633 7.66633i 0.318877 0.318877i
\(579\) 0.922237 16.0856i 0.0383269 0.668494i
\(580\) −3.89655 14.5421i −0.161795 0.603829i
\(581\) −4.60674 + 2.65970i −0.191120 + 0.110343i
\(582\) 12.8684 + 62.0375i 0.533412 + 2.57154i
\(583\) −16.8316 62.8163i −0.697093 2.60159i
\(584\) 8.44693 0.349536
\(585\) −3.99588 + 9.07264i −0.165209 + 0.375108i
\(586\) 13.8818 0.573453
\(587\) −0.0538632 0.201020i −0.00222317 0.00829699i 0.964805 0.262965i \(-0.0847004\pi\)
−0.967029 + 0.254668i \(0.918034\pi\)
\(588\) 7.94369 + 2.62426i 0.327592 + 0.108223i
\(589\) −2.79378 + 1.61299i −0.115116 + 0.0664622i
\(590\) 4.67641 + 17.4526i 0.192525 + 0.718512i
\(591\) −33.2244 + 16.7237i −1.36667 + 0.687920i
\(592\) 20.4857 20.4857i 0.841957 0.841957i
\(593\) −1.88246 1.88246i −0.0773032 0.0773032i 0.667398 0.744701i \(-0.267408\pi\)
−0.744701 + 0.667398i \(0.767408\pi\)
\(594\) 26.4793 57.1910i 1.08646 2.34657i
\(595\) 2.84543 1.64281i 0.116651 0.0673485i
\(596\) −54.7488 + 14.6699i −2.24260 + 0.600903i
\(597\) −19.4659 + 4.03780i −0.796686 + 0.165256i
\(598\) 77.5605 + 24.0201i 3.17168 + 0.982256i
\(599\) −36.7841 21.2373i −1.50296 0.867732i −0.999994 0.00342314i \(-0.998910\pi\)
−0.502962 0.864309i \(-0.667756\pi\)
\(600\) 47.6021 23.9608i 1.94335 0.978195i
\(601\) 5.97791 10.3540i 0.243844 0.422350i −0.717962 0.696082i \(-0.754925\pi\)
0.961806 + 0.273732i \(0.0882582\pi\)
\(602\) −2.25869 + 3.91217i −0.0920574 + 0.159448i
\(603\) −30.7130 + 24.3754i −1.25073 + 0.992642i
\(604\) 98.6025 26.4205i 4.01208 1.07503i
\(605\) −6.82973 6.82973i −0.277668 0.277668i
\(606\) −53.8387 + 27.1000i −2.18705 + 1.10086i
\(607\) 5.95823 + 10.3200i 0.241837 + 0.418874i 0.961238 0.275721i \(-0.0889167\pi\)
−0.719401 + 0.694595i \(0.755583\pi\)
\(608\) 63.2950 2.56695
\(609\) −3.23241 + 4.92436i −0.130984 + 0.199545i
\(610\) −27.8156 + 16.0593i −1.12622 + 0.650224i
\(611\) −19.5046 21.0686i −0.789070 0.852343i
\(612\) −51.6057 5.93695i −2.08604 0.239987i
\(613\) −4.51918 + 16.8658i −0.182528 + 0.681204i 0.812618 + 0.582797i \(0.198042\pi\)
−0.995146 + 0.0984077i \(0.968625\pi\)
\(614\) 29.7520 + 17.1773i 1.20069 + 0.693220i
\(615\) −2.43276 + 0.504626i −0.0980984 + 0.0203485i
\(616\) −33.1561 + 8.88414i −1.33590 + 0.357952i
\(617\) −20.5519 5.50686i −0.827387 0.221698i −0.179814 0.983701i \(-0.557549\pi\)
−0.647573 + 0.762003i \(0.724216\pi\)
\(618\) −11.9657 23.7720i −0.481333 0.956249i
\(619\) 11.8636 + 3.17883i 0.476836 + 0.127768i 0.489229 0.872155i \(-0.337278\pi\)
−0.0123927 + 0.999923i \(0.503945\pi\)
\(620\) 2.04740 + 1.18207i 0.0822258 + 0.0474731i
\(621\) 25.7810 + 36.6067i 1.03456 + 1.46897i
\(622\) −34.1032 9.13793i −1.36742 0.366398i
\(623\) −3.88173 6.72335i −0.155518 0.269365i
\(624\) −56.5660 21.1366i −2.26445 0.846143i
\(625\) 6.55280 11.3498i 0.262112 0.453991i
\(626\) 26.0802 26.0802i 1.04238 1.04238i
\(627\) 15.2315 46.1062i 0.608288 1.84130i
\(628\) 110.743i 4.41912i
\(629\) −7.59493 + 7.59493i −0.302830 + 0.302830i
\(630\) 6.68289 + 2.64091i 0.266253 + 0.105216i
\(631\) −7.89172 29.4523i −0.314164 1.17248i −0.924765 0.380539i \(-0.875739\pi\)
0.610601 0.791939i \(-0.290928\pi\)
\(632\) −7.46196 + 27.8484i −0.296821 + 1.10775i
\(633\) 27.0162 24.0863i 1.07380 0.957345i
\(634\) 46.0317i 1.82815i
\(635\) −6.90366 6.90366i −0.273963 0.273963i
\(636\) −111.312 36.7729i −4.41382 1.45814i
\(637\) −3.05074 1.92171i −0.120875 0.0761410i
\(638\) 41.2488i 1.63305i
\(639\) 1.12878 0.167435i 0.0446540 0.00662362i
\(640\) −0.0316721 0.0548576i −0.00125195 0.00216844i
\(641\) 4.48938 0.177320 0.0886600 0.996062i \(-0.471742\pi\)
0.0886600 + 0.996062i \(0.471742\pi\)
\(642\) 14.4462 + 0.828245i 0.570145 + 0.0326882i
\(643\) −2.99106 + 11.1628i −0.117956 + 0.440218i −0.999491 0.0319008i \(-0.989844\pi\)
0.881535 + 0.472119i \(0.156511\pi\)
\(644\) 10.7719 40.2014i 0.424474 1.58416i
\(645\) −1.50574 + 2.29389i −0.0592884 + 0.0903219i
\(646\) −56.5943 −2.22667
\(647\) 10.2507 + 17.7548i 0.402998 + 0.698012i 0.994086 0.108594i \(-0.0346349\pi\)
−0.591088 + 0.806607i \(0.701302\pi\)
\(648\) −35.1510 56.5284i −1.38086 2.22065i
\(649\) 35.0083i 1.37420i
\(650\) −38.2263 + 8.67952i −1.49936 + 0.340439i
\(651\) −0.187872 0.905716i −0.00736329 0.0354978i
\(652\) 52.5367 + 52.5367i 2.05749 + 2.05749i
\(653\) 15.3643i 0.601251i 0.953742 + 0.300625i \(0.0971954\pi\)
−0.953742 + 0.300625i \(0.902805\pi\)
\(654\) 4.08263 + 19.6820i 0.159643 + 0.769628i
\(655\) 0.988755 3.69009i 0.0386339 0.144184i
\(656\) −3.91694 14.6182i −0.152931 0.570746i
\(657\) −2.12990 2.68368i −0.0830954 0.104700i
\(658\) −14.7154 + 14.7154i −0.573666 + 0.573666i
\(659\) 21.3849i 0.833038i −0.909127 0.416519i \(-0.863250\pi\)
0.909127 0.416519i \(-0.136750\pi\)
\(660\) −34.8429 + 7.22744i −1.35626 + 0.281328i
\(661\) −23.3384 + 23.3384i −0.907760 + 0.907760i −0.996091 0.0883314i \(-0.971847\pi\)
0.0883314 + 0.996091i \(0.471847\pi\)
\(662\) 33.6915 58.3554i 1.30946 2.26805i
\(663\) 20.9715 + 7.83626i 0.814464 + 0.304335i
\(664\) −19.6718 34.0726i −0.763414 1.32227i
\(665\) 5.34769 + 1.43291i 0.207375 + 0.0555658i
\(666\) −23.3368 2.68477i −0.904281 0.104033i
\(667\) 25.3784 + 14.6522i 0.982656 + 0.567337i
\(668\) 6.06814 + 1.62595i 0.234784 + 0.0629101i
\(669\) −2.70998 + 4.12848i −0.104774 + 0.159616i
\(670\) 30.2395 + 8.10266i 1.16826 + 0.313033i
\(671\) −60.1114 + 16.1068i −2.32057 + 0.621796i
\(672\) −5.69297 + 17.2327i −0.219611 + 0.664768i
\(673\) −4.75984 2.74809i −0.183478 0.105931i 0.405448 0.914118i \(-0.367116\pi\)
−0.588926 + 0.808187i \(0.700449\pi\)
\(674\) −17.2055 + 64.2119i −0.662732 + 2.47335i
\(675\) −19.6155 9.08197i −0.755002 0.349565i
\(676\) 51.8004 + 35.4884i 1.99232 + 1.36494i
\(677\) 16.0192 9.24869i 0.615668 0.355456i −0.159513 0.987196i \(-0.550992\pi\)
0.775180 + 0.631740i \(0.217659\pi\)
\(678\) −37.6561 2.15895i −1.44617 0.0829138i
\(679\) −13.9968 −0.537147
\(680\) 12.1506 + 21.0455i 0.465955 + 0.807057i
\(681\) 0.768541 13.4048i 0.0294506 0.513674i
\(682\) 4.58021 + 4.58021i 0.175385 + 0.175385i
\(683\) 6.23228 1.66994i 0.238472 0.0638983i −0.137604 0.990487i \(-0.543940\pi\)
0.376075 + 0.926589i \(0.377273\pi\)
\(684\) −54.4139 68.5615i −2.08057 2.62152i
\(685\) 1.84610 3.19755i 0.0705360 0.122172i
\(686\) −1.30672 + 2.26331i −0.0498908 + 0.0864135i
\(687\) 5.94250 + 3.90072i 0.226720 + 0.148822i
\(688\) −14.4747 8.35695i −0.551842 0.318606i
\(689\) 42.7490 + 26.9283i 1.62861 + 1.02589i
\(690\) 11.2137 33.9441i 0.426898 1.29223i
\(691\) −20.3142 + 5.44317i −0.772789 + 0.207068i −0.623603 0.781741i \(-0.714332\pi\)
−0.149186 + 0.988809i \(0.547665\pi\)
\(692\) 57.3842 33.1308i 2.18142 1.25944i
\(693\) 11.1829 + 8.29389i 0.424804 + 0.315059i
\(694\) −8.36682 8.36682i −0.317600 0.317600i
\(695\) 9.11124 9.11124i 0.345609 0.345609i
\(696\) −36.4218 23.9077i −1.38056 0.906218i
\(697\) 1.45218 + 5.41961i 0.0550052 + 0.205282i
\(698\) −39.6290 + 22.8798i −1.49998 + 0.866014i
\(699\) 31.3983 27.9932i 1.18759 1.05880i
\(700\) 5.20048 + 19.4085i 0.196560 + 0.733571i
\(701\) 30.6562 1.15787 0.578934 0.815375i \(-0.303469\pi\)
0.578934 + 0.815375i \(0.303469\pi\)
\(702\) 15.0884 + 46.5800i 0.569475 + 1.75805i
\(703\) −18.0986 −0.682601
\(704\) −9.66356 36.0649i −0.364209 1.35925i
\(705\) −9.43536 + 8.41211i −0.355356 + 0.316818i
\(706\) 53.7228 31.0169i 2.02188 1.16733i
\(707\) −3.44632 12.8619i −0.129612 0.483720i
\(708\) 52.7567 + 34.6301i 1.98272 + 1.30148i
\(709\) −23.2926 + 23.2926i −0.874771 + 0.874771i −0.992988 0.118216i \(-0.962282\pi\)
0.118216 + 0.992988i \(0.462282\pi\)
\(710\) −0.644247 0.644247i −0.0241782 0.0241782i
\(711\) 10.7293 4.65127i 0.402380 0.174436i
\(712\) 49.7276 28.7102i 1.86362 1.07596i
\(713\) −4.44495 + 1.19102i −0.166465 + 0.0446041i
\(714\) 5.09029 15.4084i 0.190499 0.576646i
\(715\) 15.3249 + 0.590734i 0.573117 + 0.0220922i
\(716\) 7.08244 + 4.08905i 0.264683 + 0.152815i
\(717\) −21.1521 13.8845i −0.789940 0.518526i
\(718\) −23.6410 + 40.9473i −0.882273 + 1.52814i
\(719\) −2.84283 + 4.92392i −0.106020 + 0.183631i −0.914154 0.405366i \(-0.867144\pi\)
0.808135 + 0.588998i \(0.200477\pi\)
\(720\) −9.77114 + 24.7261i −0.364149 + 0.921487i
\(721\) 5.67904 1.52169i 0.211498 0.0566708i
\(722\) −32.3200 32.3200i −1.20283 1.20283i
\(723\) −0.550564 + 9.60288i −0.0204757 + 0.357135i
\(724\) −22.8623 39.5987i −0.849671 1.47167i
\(725\) −14.1476 −0.525430
\(726\) −47.6255 2.73052i −1.76755 0.101339i
\(727\) −44.1949 + 25.5159i −1.63910 + 0.946333i −0.657953 + 0.753059i \(0.728577\pi\)
−0.981145 + 0.193274i \(0.938089\pi\)
\(728\) 14.2135 22.5640i 0.526786 0.836279i
\(729\) −9.09631 + 25.4216i −0.336901 + 0.941540i
\(730\) −0.708004 + 2.64231i −0.0262044 + 0.0977962i
\(731\) 5.36638 + 3.09828i 0.198483 + 0.114594i
\(732\) −35.1894 + 106.519i −1.30064 + 3.93706i
\(733\) −42.4858 + 11.3840i −1.56925 + 0.420479i −0.935577 0.353123i \(-0.885120\pi\)
−0.633672 + 0.773602i \(0.718453\pi\)
\(734\) −46.6625 12.5032i −1.72234 0.461501i
\(735\) −0.871115 + 1.32709i −0.0321316 + 0.0489503i
\(736\) 87.2115 + 23.3682i 3.21466 + 0.861365i
\(737\) 52.5312 + 30.3289i 1.93501 + 1.11718i
\(738\) −7.30988 + 9.85616i −0.269081 + 0.362810i
\(739\) 28.1774 + 7.55010i 1.03652 + 0.277735i 0.736671 0.676251i \(-0.236397\pi\)
0.299850 + 0.953986i \(0.403063\pi\)
\(740\) 6.63171 + 11.4865i 0.243787 + 0.422251i
\(741\) 15.6505 + 34.3241i 0.574934 + 1.26093i
\(742\) 18.3107 31.7150i 0.672205 1.16429i
\(743\) 9.28567 9.28567i 0.340658 0.340658i −0.515957 0.856615i \(-0.672563\pi\)
0.856615 + 0.515957i \(0.172563\pi\)
\(744\) 6.69890 1.38955i 0.245594 0.0509433i
\(745\) 10.7552i 0.394038i
\(746\) 10.2836 10.2836i 0.376510 0.376510i
\(747\) −5.86495 + 14.8414i −0.214587 + 0.543018i
\(748\) 20.7987 + 77.6217i 0.760474 + 2.83813i
\(749\) −0.827348 + 3.08770i −0.0302306 + 0.112822i
\(750\) 7.71847 + 37.2101i 0.281839 + 1.35872i
\(751\) 27.8879i 1.01765i 0.860871 + 0.508823i \(0.169919\pi\)
−0.860871 + 0.508823i \(0.830081\pi\)
\(752\) −54.4457 54.4457i −1.98543 1.98543i
\(753\) 3.43999 + 16.5839i 0.125360 + 0.604352i
\(754\) 21.7703 + 23.5160i 0.792829 + 0.856403i
\(755\) 19.3700i 0.704946i
\(756\) 23.5608 8.64811i 0.856898 0.314529i
\(757\) −0.374558 0.648754i −0.0136135 0.0235794i 0.859138 0.511743i \(-0.171000\pi\)
−0.872752 + 0.488164i \(0.837667\pi\)
\(758\) 23.7499 0.862637
\(759\) 38.0091 57.9043i 1.37964 2.10179i
\(760\) −10.5982 + 39.5528i −0.384435 + 1.43473i
\(761\) −3.22212 + 12.0251i −0.116802 + 0.435911i −0.999415 0.0341887i \(-0.989115\pi\)
0.882613 + 0.470099i \(0.155782\pi\)
\(762\) −48.1410 2.76008i −1.74397 0.0999872i
\(763\) −4.44062 −0.160761
\(764\) 23.8012 + 41.2248i 0.861096 + 1.49146i
\(765\) 3.62258 9.16702i 0.130975 0.331434i
\(766\) 68.6268i 2.47959i
\(767\) −18.4768 19.9583i −0.667157 0.720654i
\(768\) 26.1655 + 8.64396i 0.944165 + 0.311912i
\(769\) −3.66383 3.66383i −0.132121 0.132121i 0.637954 0.770075i \(-0.279781\pi\)
−0.770075 + 0.637954i \(0.779781\pi\)
\(770\) 11.1163i 0.400604i
\(771\) −10.5879 + 9.43967i −0.381315 + 0.339961i
\(772\) −11.6289 + 43.3997i −0.418534 + 1.56199i
\(773\) 4.24875 + 15.8566i 0.152817 + 0.570321i 0.999282 + 0.0378771i \(0.0120595\pi\)