Properties

Label 384.2.w.a.155.40
Level $384$
Weight $2$
Character 384.155
Analytic conductor $3.066$
Analytic rank $0$
Dimension $992$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 384 = 2^{7} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 384.w (of order \(32\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.06625543762\)
Analytic rank: \(0\)
Dimension: \(992\)
Relative dimension: \(62\) over \(\Q(\zeta_{32})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{32}]$

Embedding invariants

Embedding label 155.40
Character \(\chi\) \(=\) 384.155
Dual form 384.2.w.a.275.40

$q$-expansion

\(f(q)\) \(=\) \(q+(0.503011 + 1.32173i) q^{2} +(-1.58078 + 0.707917i) q^{3} +(-1.49396 + 1.32969i) q^{4} +(-2.77004 + 2.27332i) q^{5} +(-1.73083 - 1.73327i) q^{6} +(1.08926 + 1.63019i) q^{7} +(-2.50898 - 1.30577i) q^{8} +(1.99771 - 2.23812i) q^{9} +O(q^{10})\) \(q+(0.503011 + 1.32173i) q^{2} +(-1.58078 + 0.707917i) q^{3} +(-1.49396 + 1.32969i) q^{4} +(-2.77004 + 2.27332i) q^{5} +(-1.73083 - 1.73327i) q^{6} +(1.08926 + 1.63019i) q^{7} +(-2.50898 - 1.30577i) q^{8} +(1.99771 - 2.23812i) q^{9} +(-4.39808 - 2.51776i) q^{10} +(0.773514 - 0.234643i) q^{11} +(1.42030 - 3.15955i) q^{12} +(1.37777 + 1.13071i) q^{13} +(-1.60677 + 2.25972i) q^{14} +(2.76950 - 5.55457i) q^{15} +(0.463834 - 3.97302i) q^{16} +(-1.91039 - 4.61208i) q^{17} +(3.96306 + 1.51464i) q^{18} +(-4.68594 + 0.461525i) q^{19} +(1.11552 - 7.07955i) q^{20} +(-2.87592 - 1.80586i) q^{21} +(0.699221 + 0.904351i) q^{22} +(-1.09942 + 0.218689i) q^{23} +(4.89051 + 0.287977i) q^{24} +(1.52973 - 7.69045i) q^{25} +(-0.801461 + 2.38981i) q^{26} +(-1.57352 + 4.95217i) q^{27} +(-3.79497 - 0.987062i) q^{28} +(8.16321 + 2.47628i) q^{29} +(8.73475 + 0.866533i) q^{30} +(-3.89061 + 3.89061i) q^{31} +(5.48458 - 1.38541i) q^{32} +(-1.05664 + 0.918501i) q^{33} +(5.13500 - 4.84495i) q^{34} +(-6.72324 - 2.03947i) q^{35} +(-0.00848369 + 5.99999i) q^{36} +(-6.27380 - 0.617915i) q^{37} +(-2.96709 - 5.96141i) q^{38} +(-2.97840 - 0.812048i) q^{39} +(9.91840 - 2.08667i) q^{40} +(-7.63277 + 1.51825i) q^{41} +(0.940253 - 4.70957i) q^{42} +(-5.80320 + 10.8570i) q^{43} +(-0.843596 + 1.37908i) q^{44} +(-0.445784 + 10.7411i) q^{45} +(-0.842071 - 1.34314i) q^{46} +(1.62661 + 3.92699i) q^{47} +(2.07935 + 6.60880i) q^{48} +(1.20774 - 2.91575i) q^{49} +(10.9342 - 1.84649i) q^{50} +(6.28487 + 5.93828i) q^{51} +(-3.56183 + 0.142781i) q^{52} +(4.60562 - 1.39710i) q^{53} +(-7.33695 + 0.411219i) q^{54} +(-1.60925 + 2.40841i) q^{55} +(-0.604277 - 5.51244i) q^{56} +(7.08070 - 4.04683i) q^{57} +(0.833197 + 12.0352i) q^{58} +(0.748880 - 0.614590i) q^{59} +(3.24835 + 11.9809i) q^{60} +(-4.17908 - 7.81851i) q^{61} +(-7.09938 - 3.18534i) q^{62} +(5.82459 + 0.818754i) q^{63} +(4.58994 + 6.55228i) q^{64} -6.38695 q^{65} +(-1.74552 - 0.934586i) q^{66} +(-3.05610 + 1.63352i) q^{67} +(8.98670 + 4.35004i) q^{68} +(1.58313 - 1.12400i) q^{69} +(-0.686224 - 9.91222i) q^{70} +(-1.49248 - 2.23366i) q^{71} +(-7.93466 + 3.00685i) q^{72} +(8.92961 + 5.96657i) q^{73} +(-2.33907 - 8.60311i) q^{74} +(3.02605 + 13.2398i) q^{75} +(6.38692 - 6.92036i) q^{76} +(1.22507 + 1.00539i) q^{77} +(-0.424855 - 4.34512i) q^{78} +(2.22130 + 0.920092i) q^{79} +(7.74708 + 12.0599i) q^{80} +(-1.01834 - 8.94220i) q^{81} +(-5.84609 - 9.32480i) q^{82} +(-16.0611 + 1.58188i) q^{83} +(6.69775 - 1.12620i) q^{84} +(15.7766 + 8.43276i) q^{85} +(-17.2692 - 2.20909i) q^{86} +(-14.6572 + 1.86443i) q^{87} +(-2.24712 - 0.421315i) q^{88} +(0.636005 - 3.19741i) q^{89} +(-14.4211 + 4.81368i) q^{90} +(-0.342521 + 3.47767i) q^{91} +(1.35171 - 1.78861i) q^{92} +(3.39596 - 8.90443i) q^{93} +(-4.37223 + 4.12527i) q^{94} +(11.9311 - 11.9311i) q^{95} +(-7.68914 + 6.07265i) q^{96} +(9.83349 + 9.83349i) q^{97} +(4.46135 + 0.129661i) q^{98} +(1.02009 - 2.19996i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} + O(q^{10}) \) \( 992q - 16q^{3} - 32q^{4} - 16q^{6} - 32q^{7} - 16q^{9} - 32q^{10} - 16q^{12} - 32q^{13} - 16q^{15} - 32q^{16} - 16q^{18} - 32q^{19} - 16q^{21} - 32q^{22} - 16q^{24} - 32q^{25} - 16q^{27} - 32q^{28} - 16q^{30} - 32q^{31} - 16q^{33} - 32q^{34} - 16q^{36} - 32q^{37} - 16q^{39} - 32q^{40} - 16q^{42} - 32q^{43} - 16q^{45} - 32q^{46} - 16q^{48} - 32q^{49} - 16q^{51} - 128q^{52} - 16q^{54} - 32q^{55} - 16q^{57} - 320q^{58} - 16q^{60} - 32q^{61} - 32q^{63} - 224q^{64} - 16q^{66} - 32q^{67} - 16q^{69} - 224q^{70} - 16q^{72} - 32q^{73} - 16q^{75} - 256q^{76} - 16q^{78} - 32q^{79} - 16q^{81} - 32q^{82} - 16q^{84} - 32q^{85} - 16q^{87} - 32q^{88} - 16q^{90} - 32q^{91} - 16q^{93} - 32q^{94} - 16q^{96} - 32q^{97} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).

\(n\) \(127\) \(133\) \(257\)
\(\chi(n)\) \(-1\) \(e\left(\frac{9}{32}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.503011 + 1.32173i 0.355682 + 0.934607i
\(3\) −1.58078 + 0.707917i −0.912661 + 0.408716i
\(4\) −1.49396 + 1.32969i −0.746980 + 0.664846i
\(5\) −2.77004 + 2.27332i −1.23880 + 1.01666i −0.239853 + 0.970809i \(0.577099\pi\)
−0.998948 + 0.0458488i \(0.985401\pi\)
\(6\) −1.73083 1.73327i −0.706607 0.707607i
\(7\) 1.08926 + 1.63019i 0.411702 + 0.616155i 0.978140 0.207949i \(-0.0666789\pi\)
−0.566438 + 0.824104i \(0.691679\pi\)
\(8\) −2.50898 1.30577i −0.887058 0.461659i
\(9\) 1.99771 2.23812i 0.665902 0.746039i
\(10\) −4.39808 2.51776i −1.39080 0.796185i
\(11\) 0.773514 0.234643i 0.233223 0.0707475i −0.171510 0.985182i \(-0.554865\pi\)
0.404733 + 0.914435i \(0.367365\pi\)
\(12\) 1.42030 3.15955i 0.410006 0.912083i
\(13\) 1.37777 + 1.13071i 0.382125 + 0.313602i 0.805773 0.592225i \(-0.201750\pi\)
−0.423647 + 0.905827i \(0.639250\pi\)
\(14\) −1.60677 + 2.25972i −0.429428 + 0.603935i
\(15\) 2.76950 5.55457i 0.715082 1.43418i
\(16\) 0.463834 3.97302i 0.115958 0.993254i
\(17\) −1.91039 4.61208i −0.463337 1.11859i −0.967019 0.254705i \(-0.918022\pi\)
0.503682 0.863889i \(-0.331978\pi\)
\(18\) 3.96306 + 1.51464i 0.934103 + 0.357004i
\(19\) −4.68594 + 0.461525i −1.07503 + 0.105881i −0.620005 0.784598i \(-0.712869\pi\)
−0.455024 + 0.890479i \(0.650369\pi\)
\(20\) 1.11552 7.07955i 0.249438 1.58304i
\(21\) −2.87592 1.80586i −0.627577 0.394072i
\(22\) 0.699221 + 0.904351i 0.149074 + 0.192808i
\(23\) −1.09942 + 0.218689i −0.229246 + 0.0455998i −0.308376 0.951264i \(-0.599786\pi\)
0.0791306 + 0.996864i \(0.474786\pi\)
\(24\) 4.89051 + 0.287977i 0.998271 + 0.0587830i
\(25\) 1.52973 7.69045i 0.305945 1.53809i
\(26\) −0.801461 + 2.38981i −0.157179 + 0.468680i
\(27\) −1.57352 + 4.95217i −0.302825 + 0.953046i
\(28\) −3.79497 0.987062i −0.717182 0.186537i
\(29\) 8.16321 + 2.47628i 1.51587 + 0.459834i 0.935145 0.354266i \(-0.115269\pi\)
0.580725 + 0.814100i \(0.302769\pi\)
\(30\) 8.73475 + 0.866533i 1.59474 + 0.158207i
\(31\) −3.89061 + 3.89061i −0.698775 + 0.698775i −0.964146 0.265371i \(-0.914505\pi\)
0.265371 + 0.964146i \(0.414505\pi\)
\(32\) 5.48458 1.38541i 0.969546 0.244907i
\(33\) −1.05664 + 0.918501i −0.183938 + 0.159891i
\(34\) 5.13500 4.84495i 0.880645 0.830903i
\(35\) −6.72324 2.03947i −1.13644 0.344734i
\(36\) −0.00848369 + 5.99999i −0.00141395 + 0.999999i
\(37\) −6.27380 0.617915i −1.03141 0.101585i −0.431873 0.901934i \(-0.642147\pi\)
−0.599533 + 0.800350i \(0.704647\pi\)
\(38\) −2.96709 5.96141i −0.481326 0.967069i
\(39\) −2.97840 0.812048i −0.476925 0.130032i
\(40\) 9.91840 2.08667i 1.56824 0.329931i
\(41\) −7.63277 + 1.51825i −1.19204 + 0.237111i −0.750954 0.660354i \(-0.770406\pi\)
−0.441085 + 0.897465i \(0.645406\pi\)
\(42\) 0.940253 4.70957i 0.145084 0.726702i
\(43\) −5.80320 + 10.8570i −0.884980 + 1.65568i −0.138410 + 0.990375i \(0.544199\pi\)
−0.746570 + 0.665307i \(0.768301\pi\)
\(44\) −0.843596 + 1.37908i −0.127177 + 0.207904i
\(45\) −0.445784 + 10.7411i −0.0664535 + 1.60119i
\(46\) −0.842071 1.34314i −0.124157 0.198036i
\(47\) 1.62661 + 3.92699i 0.237266 + 0.572810i 0.996998 0.0774256i \(-0.0246700\pi\)
−0.759732 + 0.650236i \(0.774670\pi\)
\(48\) 2.07935 + 6.60880i 0.300128 + 0.953899i
\(49\) 1.20774 2.91575i 0.172535 0.416535i
\(50\) 10.9342 1.84649i 1.54633 0.261133i
\(51\) 6.28487 + 5.93828i 0.880058 + 0.831525i
\(52\) −3.56183 + 0.142781i −0.493937 + 0.0198001i
\(53\) 4.60562 1.39710i 0.632630 0.191906i 0.0423477 0.999103i \(-0.486516\pi\)
0.590283 + 0.807197i \(0.299016\pi\)
\(54\) −7.33695 + 0.411219i −0.998433 + 0.0559598i
\(55\) −1.60925 + 2.40841i −0.216991 + 0.324750i
\(56\) −0.604277 5.51244i −0.0807499 0.736631i
\(57\) 7.08070 4.04683i 0.937862 0.536015i
\(58\) 0.833197 + 12.0352i 0.109404 + 1.58030i
\(59\) 0.748880 0.614590i 0.0974959 0.0800128i −0.584383 0.811478i \(-0.698663\pi\)
0.681879 + 0.731465i \(0.261163\pi\)
\(60\) 3.24835 + 11.9809i 0.419360 + 1.54673i
\(61\) −4.17908 7.81851i −0.535077 1.00106i −0.993662 0.112408i \(-0.964144\pi\)
0.458586 0.888650i \(-0.348356\pi\)
\(62\) −7.09938 3.18534i −0.901622 0.404538i
\(63\) 5.82459 + 0.818754i 0.733829 + 0.103153i
\(64\) 4.58994 + 6.55228i 0.573743 + 0.819036i
\(65\) −6.38695 −0.792204
\(66\) −1.74552 0.934586i −0.214858 0.115040i
\(67\) −3.05610 + 1.63352i −0.373362 + 0.199566i −0.647396 0.762154i \(-0.724142\pi\)
0.274034 + 0.961720i \(0.411642\pi\)
\(68\) 8.98670 + 4.35004i 1.08980 + 0.527520i
\(69\) 1.58313 1.12400i 0.190586 0.135314i
\(70\) −0.686224 9.91222i −0.0820194 1.18474i
\(71\) −1.49248 2.23366i −0.177125 0.265086i 0.732275 0.681009i \(-0.238459\pi\)
−0.909400 + 0.415923i \(0.863459\pi\)
\(72\) −7.93466 + 3.00685i −0.935109 + 0.354361i
\(73\) 8.92961 + 5.96657i 1.04513 + 0.698334i 0.954701 0.297568i \(-0.0961756\pi\)
0.0904309 + 0.995903i \(0.471176\pi\)
\(74\) −2.33907 8.60311i −0.271911 1.00009i
\(75\) 3.02605 + 13.2398i 0.349418 + 1.52880i
\(76\) 6.38692 6.92036i 0.732630 0.793820i
\(77\) 1.22507 + 1.00539i 0.139610 + 0.114575i
\(78\) −0.424855 4.34512i −0.0481054 0.491988i
\(79\) 2.22130 + 0.920092i 0.249916 + 0.103518i 0.504125 0.863631i \(-0.331815\pi\)
−0.254209 + 0.967149i \(0.581815\pi\)
\(80\) 7.74708 + 12.0599i 0.866150 + 1.34833i
\(81\) −1.01834 8.94220i −0.113149 0.993578i
\(82\) −5.84609 9.32480i −0.645593 1.02975i
\(83\) −16.0611 + 1.58188i −1.76294 + 0.173634i −0.926967 0.375142i \(-0.877594\pi\)
−0.835969 + 0.548776i \(0.815094\pi\)
\(84\) 6.69775 1.12620i 0.730785 0.122878i
\(85\) 15.7766 + 8.43276i 1.71121 + 0.914661i
\(86\) −17.2692 2.20909i −1.86218 0.238212i
\(87\) −14.6572 + 1.86443i −1.57142 + 0.199888i
\(88\) −2.24712 0.421315i −0.239544 0.0449124i
\(89\) 0.636005 3.19741i 0.0674163 0.338925i −0.932326 0.361619i \(-0.882224\pi\)
0.999742 + 0.0226937i \(0.00722426\pi\)
\(90\) −14.4211 + 4.81368i −1.52012 + 0.507407i
\(91\) −0.342521 + 3.47767i −0.0359059 + 0.364559i
\(92\) 1.35171 1.78861i 0.140925 0.186475i
\(93\) 3.39596 8.90443i 0.352144 0.923346i
\(94\) −4.37223 + 4.12527i −0.450961 + 0.425489i
\(95\) 11.9311 11.9311i 1.22410 1.22410i
\(96\) −7.68914 + 6.07265i −0.784770 + 0.619787i
\(97\) 9.83349 + 9.83349i 0.998440 + 0.998440i 0.999999 0.00155882i \(-0.000496188\pi\)
−0.00155882 + 0.999999i \(0.500496\pi\)
\(98\) 4.46135 + 0.129661i 0.450664 + 0.0130977i
\(99\) 1.02009 2.19996i 0.102523 0.221104i
\(100\) 7.94059 + 13.5233i 0.794059 + 1.35233i
\(101\) −16.2484 1.60033i −1.61678 0.159238i −0.751220 0.660052i \(-0.770534\pi\)
−0.865555 + 0.500813i \(0.833034\pi\)
\(102\) −4.68746 + 11.2939i −0.464128 + 1.11827i
\(103\) −4.18682 0.832811i −0.412540 0.0820593i −0.0155430 0.999879i \(-0.504948\pi\)
−0.396997 + 0.917820i \(0.629948\pi\)
\(104\) −1.98036 4.63597i −0.194190 0.454595i
\(105\) 12.0717 1.53555i 1.17808 0.149854i
\(106\) 4.16327 + 5.38465i 0.404372 + 0.523003i
\(107\) 1.58524 2.96577i 0.153251 0.286712i −0.793567 0.608483i \(-0.791778\pi\)
0.946817 + 0.321772i \(0.104278\pi\)
\(108\) −4.23409 9.49065i −0.407425 0.913238i
\(109\) −0.439012 4.45736i −0.0420497 0.426938i −0.993045 0.117733i \(-0.962437\pi\)
0.950996 0.309205i \(-0.100063\pi\)
\(110\) −3.99275 0.915542i −0.380694 0.0872935i
\(111\) 10.3549 3.46455i 0.982844 0.328840i
\(112\) 6.98202 3.57151i 0.659739 0.337476i
\(113\) −6.62818 + 16.0018i −0.623527 + 1.50533i 0.224008 + 0.974587i \(0.428086\pi\)
−0.847535 + 0.530739i \(0.821914\pi\)
\(114\) 8.91050 + 7.32320i 0.834545 + 0.685881i
\(115\) 2.54830 3.10512i 0.237630 0.289554i
\(116\) −15.4882 + 7.15509i −1.43804 + 0.664334i
\(117\) 5.28304 0.824794i 0.488418 0.0762522i
\(118\) 1.18902 + 0.680675i 0.109458 + 0.0626612i
\(119\) 5.43768 8.13806i 0.498471 0.746015i
\(120\) −14.2016 + 10.3200i −1.29642 + 0.942080i
\(121\) −8.60290 + 5.74827i −0.782082 + 0.522570i
\(122\) 8.23187 9.45643i 0.745278 0.856145i
\(123\) 10.9909 7.80339i 0.991017 0.703608i
\(124\) 0.639100 10.9857i 0.0573929 0.986549i
\(125\) 4.79928 + 8.97883i 0.429261 + 0.803091i
\(126\) 1.84766 + 8.11039i 0.164602 + 0.722531i
\(127\) 13.1873i 1.17018i 0.810968 + 0.585090i \(0.198941\pi\)
−0.810968 + 0.585090i \(0.801059\pi\)
\(128\) −6.35158 + 9.36255i −0.561406 + 0.827541i
\(129\) 1.48768 21.2707i 0.130983 1.87278i
\(130\) −3.21270 8.44185i −0.281773 0.740399i
\(131\) −0.374543 + 0.200197i −0.0327239 + 0.0174913i −0.487678 0.873024i \(-0.662156\pi\)
0.454954 + 0.890515i \(0.349656\pi\)
\(132\) 0.357259 2.77722i 0.0310954 0.241726i
\(133\) −5.85658 7.13627i −0.507830 0.618793i
\(134\) −3.69633 3.21767i −0.319314 0.277965i
\(135\) −6.89913 17.2949i −0.593783 1.48850i
\(136\) −1.22919 + 14.0661i −0.105402 + 1.20616i
\(137\) −1.33658 0.893075i −0.114192 0.0763006i 0.497163 0.867657i \(-0.334375\pi\)
−0.611355 + 0.791357i \(0.709375\pi\)
\(138\) 2.28196 + 1.52709i 0.194253 + 0.129995i
\(139\) 3.71122 + 12.2342i 0.314781 + 1.03770i 0.961463 + 0.274935i \(0.0886564\pi\)
−0.646681 + 0.762760i \(0.723844\pi\)
\(140\) 12.7561 5.89296i 1.07809 0.498046i
\(141\) −5.35129 5.05618i −0.450660 0.425808i
\(142\) 2.20157 3.09622i 0.184751 0.259829i
\(143\) 1.33104 + 0.551334i 0.111307 + 0.0461049i
\(144\) −7.96548 8.97503i −0.663790 0.747919i
\(145\) −28.2418 + 11.6981i −2.34536 + 0.971478i
\(146\) −3.39453 + 14.8038i −0.280933 + 1.22517i
\(147\) 0.154938 + 5.46412i 0.0127791 + 0.450673i
\(148\) 10.1944 7.41908i 0.837978 0.609845i
\(149\) 12.2778 + 6.56261i 1.00583 + 0.537630i 0.890155 0.455657i \(-0.150596\pi\)
0.115679 + 0.993287i \(0.463096\pi\)
\(150\) −15.9773 + 10.6594i −1.30454 + 0.870336i
\(151\) −0.252442 1.26911i −0.0205435 0.103279i 0.969153 0.246459i \(-0.0792671\pi\)
−0.989697 + 0.143180i \(0.954267\pi\)
\(152\) 12.3596 + 4.96079i 1.00249 + 0.402373i
\(153\) −14.1388 4.93792i −1.14305 0.399207i
\(154\) −0.712633 + 2.12494i −0.0574256 + 0.171232i
\(155\) 1.93258 19.6218i 0.155228 1.57606i
\(156\) 5.52938 2.74719i 0.442705 0.219951i
\(157\) 4.16098 13.7169i 0.332083 1.09473i −0.618896 0.785473i \(-0.712420\pi\)
0.950979 0.309257i \(-0.100080\pi\)
\(158\) −0.0987793 + 3.39878i −0.00785846 + 0.270393i
\(159\) −6.29142 + 5.46890i −0.498942 + 0.433712i
\(160\) −12.0431 + 16.3058i −0.952088 + 1.28909i
\(161\) −1.55406 1.55406i −0.122477 0.122477i
\(162\) 11.3070 5.84400i 0.888360 0.459148i
\(163\) 6.18897 20.4023i 0.484758 1.59803i −0.284222 0.958759i \(-0.591735\pi\)
0.768979 0.639273i \(-0.220765\pi\)
\(164\) 9.38425 12.4175i 0.732787 0.969640i
\(165\) 0.838906 4.94638i 0.0653088 0.385075i
\(166\) −10.1697 20.4328i −0.789325 1.58589i
\(167\) 24.3741 + 4.84831i 1.88612 + 0.375173i 0.996648 0.0818094i \(-0.0260699\pi\)
0.889476 + 0.456983i \(0.151070\pi\)
\(168\) 4.85758 + 8.28615i 0.374770 + 0.639291i
\(169\) −1.91642 9.63449i −0.147417 0.741115i
\(170\) −3.21007 + 25.0942i −0.246201 + 1.92464i
\(171\) −8.32819 + 11.4097i −0.636872 + 0.872520i
\(172\) −5.76676 23.9365i −0.439711 1.82514i
\(173\) 1.16114 + 11.7892i 0.0882796 + 0.896318i 0.932704 + 0.360643i \(0.117443\pi\)
−0.844424 + 0.535675i \(0.820057\pi\)
\(174\) −9.83701 18.4351i −0.745742 1.39756i
\(175\) 14.2032 5.88315i 1.07366 0.444724i
\(176\) −0.573458 3.18202i −0.0432260 0.239854i
\(177\) −0.748733 + 1.50167i −0.0562782 + 0.112873i
\(178\) 4.54604 0.767704i 0.340740 0.0575418i
\(179\) 11.5799 14.1101i 0.865520 1.05464i −0.132465 0.991188i \(-0.542289\pi\)
0.997985 0.0634517i \(-0.0202109\pi\)
\(180\) −13.6164 16.6395i −1.01491 1.24024i
\(181\) 3.48411 + 11.4856i 0.258972 + 0.853716i 0.985948 + 0.167053i \(0.0534251\pi\)
−0.726976 + 0.686663i \(0.759075\pi\)
\(182\) −4.76885 + 1.29659i −0.353490 + 0.0961093i
\(183\) 12.1411 + 9.40087i 0.897492 + 0.694932i
\(184\) 3.04399 + 0.886906i 0.224406 + 0.0653836i
\(185\) 18.7834 12.5507i 1.38098 0.922744i
\(186\) 13.4775 + 0.00952824i 0.988217 + 0.000698644i
\(187\) −2.55990 3.11925i −0.187199 0.228102i
\(188\) −7.65179 3.70387i −0.558064 0.270133i
\(189\) −9.78698 + 2.82906i −0.711898 + 0.205784i
\(190\) 21.7712 + 9.76824i 1.57945 + 0.708663i
\(191\) 18.5985i 1.34574i 0.739760 + 0.672870i \(0.234939\pi\)
−0.739760 + 0.672870i \(0.765061\pi\)
\(192\) −11.8941 7.10839i −0.858386 0.513004i
\(193\) 11.1112i 0.799803i 0.916558 + 0.399902i \(0.130956\pi\)
−0.916558 + 0.399902i \(0.869044\pi\)
\(194\) −8.05091 + 17.9436i −0.578021 + 1.28828i
\(195\) 10.0963 4.52143i 0.723014 0.323786i
\(196\) 2.07273 + 5.96194i 0.148052 + 0.425853i
\(197\) 13.4022 + 16.3307i 0.954869 + 1.16351i 0.986459 + 0.164011i \(0.0524432\pi\)
−0.0315893 + 0.999501i \(0.510057\pi\)
\(198\) 3.42088 + 0.241689i 0.243112 + 0.0171761i
\(199\) 5.08250 3.39602i 0.360289 0.240737i −0.362230 0.932089i \(-0.617984\pi\)
0.722518 + 0.691352i \(0.242984\pi\)
\(200\) −13.8800 + 17.2977i −0.981463 + 1.22313i
\(201\) 3.67462 4.74570i 0.259187 0.334736i
\(202\) −6.05791 22.2810i −0.426233 1.56769i
\(203\) 4.85504 + 16.0049i 0.340757 + 1.12333i
\(204\) −17.2854 0.514600i −1.21022 0.0360292i
\(205\) 17.6917 21.5573i 1.23564 1.50563i
\(206\) −1.00526 5.95278i −0.0700400 0.414750i
\(207\) −1.70687 + 2.89752i −0.118636 + 0.201391i
\(208\) 5.13138 4.94945i 0.355797 0.343183i
\(209\) −3.51635 + 1.45652i −0.243231 + 0.100749i
\(210\) 8.10180 + 15.1832i 0.559077 + 1.04774i
\(211\) −1.33006 13.5043i −0.0915648 0.929673i −0.925737 0.378169i \(-0.876554\pi\)
0.834172 0.551505i \(-0.185946\pi\)
\(212\) −5.02290 + 8.21127i −0.344974 + 0.563952i
\(213\) 3.94053 + 2.47436i 0.270000 + 0.169540i
\(214\) 4.71735 + 0.603446i 0.322471 + 0.0412507i
\(215\) −8.60634 43.2670i −0.586947 2.95078i
\(216\) 10.4143 10.3702i 0.708605 0.705605i
\(217\) −10.5803 2.10456i −0.718241 0.142867i
\(218\) 5.67062 2.82236i 0.384063 0.191154i
\(219\) −18.3395 3.11039i −1.23927 0.210181i
\(220\) −0.798294 5.73788i −0.0538210 0.386848i
\(221\) 2.58284 8.51449i 0.173741 0.572747i
\(222\) 9.78784 + 11.9437i 0.656917 + 0.801610i
\(223\) 6.56954 + 6.56954i 0.439929 + 0.439929i 0.891988 0.452059i \(-0.149310\pi\)
−0.452059 + 0.891988i \(0.649310\pi\)
\(224\) 8.23262 + 7.43186i 0.550065 + 0.496562i
\(225\) −14.1562 18.7870i −0.943746 1.25246i
\(226\) −24.4842 0.711588i −1.62867 0.0473342i
\(227\) −8.34592 + 27.5128i −0.553938 + 1.82609i 0.00953549 + 0.999955i \(0.496965\pi\)
−0.563473 + 0.826134i \(0.690535\pi\)
\(228\) −5.19725 + 15.4610i −0.344196 + 1.02393i
\(229\) −2.03951 + 20.7075i −0.134774 + 1.36839i 0.655296 + 0.755372i \(0.272544\pi\)
−0.790070 + 0.613016i \(0.789956\pi\)
\(230\) 5.38596 + 1.80627i 0.355140 + 0.119102i
\(231\) −2.64830 0.722047i −0.174245 0.0475072i
\(232\) −17.2479 16.8722i −1.13238 1.10771i
\(233\) −4.29540 21.5944i −0.281401 1.41470i −0.820110 0.572206i \(-0.806088\pi\)
0.538709 0.842492i \(-0.318912\pi\)
\(234\) 3.74759 + 6.56790i 0.244987 + 0.429357i
\(235\) −13.4331 7.18013i −0.876278 0.468380i
\(236\) −0.301581 + 1.91395i −0.0196312 + 0.124588i
\(237\) −4.16273 + 0.118037i −0.270398 + 0.00766730i
\(238\) 13.4916 + 3.09363i 0.874528 + 0.200530i
\(239\) 8.68515 3.59750i 0.561795 0.232703i −0.0836691 0.996494i \(-0.526664\pi\)
0.645464 + 0.763790i \(0.276664\pi\)
\(240\) −20.7838 13.5797i −1.34159 0.876563i
\(241\) −2.23964 0.927688i −0.144268 0.0597577i 0.309381 0.950938i \(-0.399878\pi\)
−0.453649 + 0.891180i \(0.649878\pi\)
\(242\) −11.9250 8.47930i −0.766571 0.545070i
\(243\) 7.94011 + 13.4147i 0.509358 + 0.860554i
\(244\) 16.6396 + 6.12365i 1.06524 + 0.392026i
\(245\) 3.28292 + 10.8223i 0.209738 + 0.691413i
\(246\) 15.8426 + 10.6019i 1.01008 + 0.675950i
\(247\) −6.97801 4.66256i −0.444000 0.296671i
\(248\) 14.8417 4.68123i 0.942449 0.297258i
\(249\) 24.2692 13.8705i 1.53800 0.879010i
\(250\) −9.45353 + 10.8598i −0.597893 + 0.686835i
\(251\) −9.06437 11.0450i −0.572138 0.697152i 0.403888 0.914809i \(-0.367659\pi\)
−0.976025 + 0.217657i \(0.930159\pi\)
\(252\) −9.79039 + 6.52173i −0.616737 + 0.410830i
\(253\) −0.799105 + 0.427131i −0.0502393 + 0.0268535i
\(254\) −17.4301 + 6.63334i −1.09366 + 0.416213i
\(255\) −30.9089 2.16179i −1.93559 0.135376i
\(256\) −15.5697 3.68564i −0.973107 0.230352i
\(257\) 10.0797i 0.628752i 0.949299 + 0.314376i \(0.101795\pi\)
−0.949299 + 0.314376i \(0.898205\pi\)
\(258\) 28.8626 8.73308i 1.79690 0.543698i
\(259\) −5.82648 10.9006i −0.362040 0.677329i
\(260\) 9.54185 8.49268i 0.591760 0.526694i
\(261\) 21.8499 13.3233i 1.35247 0.824694i
\(262\) −0.453006 0.394344i −0.0279868 0.0243627i
\(263\) −20.4504 + 13.6645i −1.26102 + 0.842589i −0.992685 0.120736i \(-0.961475\pi\)
−0.268339 + 0.963325i \(0.586475\pi\)
\(264\) 3.85045 0.924769i 0.236979 0.0569156i
\(265\) −9.58172 + 14.3401i −0.588600 + 0.880903i
\(266\) 6.48632 11.3305i 0.397702 0.694715i
\(267\) 1.25812 + 5.50463i 0.0769958 + 0.336878i
\(268\) 2.39361 6.50409i 0.146213 0.397301i
\(269\) 5.45206 6.64336i 0.332418 0.405053i −0.579799 0.814760i \(-0.696869\pi\)
0.912217 + 0.409707i \(0.134369\pi\)
\(270\) 19.3889 17.8183i 1.17997 1.08439i
\(271\) −1.07702 + 2.60016i −0.0654244 + 0.157949i −0.953210 0.302308i \(-0.902243\pi\)
0.887786 + 0.460257i \(0.152243\pi\)
\(272\) −19.2100 + 5.45076i −1.16478 + 0.330501i
\(273\) −1.92046 5.73990i −0.116231 0.347394i
\(274\) 0.508093 2.21583i 0.0306950 0.133863i
\(275\) −0.621245 6.30760i −0.0374625 0.380363i
\(276\) −0.870557 + 3.78429i −0.0524014 + 0.227787i
\(277\) −8.02898 + 15.0212i −0.482415 + 0.902535i 0.516515 + 0.856278i \(0.327229\pi\)
−0.998930 + 0.0462564i \(0.985271\pi\)
\(278\) −14.3036 + 11.0592i −0.857875 + 0.663287i
\(279\) 0.935350 + 16.4800i 0.0559979 + 0.986629i
\(280\) 14.2054 + 13.8960i 0.848935 + 0.830444i
\(281\) −1.48063 0.294516i −0.0883271 0.0175694i 0.150729 0.988575i \(-0.451838\pi\)
−0.239056 + 0.971006i \(0.576838\pi\)
\(282\) 3.99117 9.61630i 0.237671 0.572642i
\(283\) 6.08278 + 0.599102i 0.361584 + 0.0356129i 0.277178 0.960819i \(-0.410601\pi\)
0.0844057 + 0.996431i \(0.473101\pi\)
\(284\) 5.19979 + 1.35245i 0.308551 + 0.0802533i
\(285\) −10.4141 + 27.3066i −0.616880 + 1.61750i
\(286\) −0.0591901 + 2.03661i −0.00349999 + 0.120427i
\(287\) −10.7891 10.7891i −0.636862 0.636862i
\(288\) 7.85588 15.0428i 0.462912 0.886404i
\(289\) −5.60092 + 5.60092i −0.329466 + 0.329466i
\(290\) −29.6678 31.4439i −1.74215 1.84645i
\(291\) −22.5059 8.58325i −1.31932 0.503159i
\(292\) −21.2742 + 2.95981i −1.24498 + 0.173210i
\(293\) 1.25097 12.7013i 0.0730824 0.742018i −0.886901 0.461960i \(-0.847146\pi\)
0.959983 0.280058i \(-0.0903536\pi\)
\(294\) −7.14418 + 2.95330i −0.416657 + 0.172240i
\(295\) −0.677273 + 3.40488i −0.0394324 + 0.198240i
\(296\) 14.9340 + 9.74246i 0.868019 + 0.566269i
\(297\) −0.0551498 + 4.19979i −0.00320011 + 0.243696i
\(298\) −2.49816 + 19.5290i −0.144715 + 1.13129i
\(299\) −1.76203 0.941824i −0.101901 0.0544671i
\(300\) −22.1257 15.7560i −1.27743 0.909674i
\(301\) −24.0203 + 2.36579i −1.38450 + 0.136362i
\(302\) 1.55045 0.972039i 0.0892183 0.0559346i
\(303\) 26.8180 8.97276i 1.54065 0.515472i
\(304\) −0.339851 + 18.8314i −0.0194918 + 1.08005i
\(305\) 29.3502 + 12.1572i 1.68059 + 0.696122i
\(306\) −0.585352 21.1715i −0.0334623 1.21030i
\(307\) −11.7213 9.61945i −0.668972 0.549011i 0.237442 0.971402i \(-0.423691\pi\)
−0.906414 + 0.422391i \(0.861191\pi\)
\(308\) −3.16707 + 0.126956i −0.180460 + 0.00723399i
\(309\) 7.20799 1.64744i 0.410048 0.0937194i
\(310\) 26.9069 7.31562i 1.52821 0.415499i
\(311\) 6.85850 + 4.58270i 0.388910 + 0.259861i 0.734618 0.678481i \(-0.237361\pi\)
−0.345708 + 0.938342i \(0.612361\pi\)
\(312\) 6.41239 + 5.92651i 0.363030 + 0.335522i
\(313\) −0.756964 1.13288i −0.0427861 0.0640340i 0.809460 0.587175i \(-0.199760\pi\)
−0.852246 + 0.523141i \(0.824760\pi\)
\(314\) 20.2231 1.40005i 1.14126 0.0790094i
\(315\) −17.9956 + 10.9731i −1.01394 + 0.618267i
\(316\) −4.54197 + 1.57907i −0.255506 + 0.0888293i
\(317\) 1.68547 0.900905i 0.0946656 0.0505998i −0.423385 0.905950i \(-0.639158\pi\)
0.518050 + 0.855350i \(0.326658\pi\)
\(318\) −10.3931 5.56467i −0.582815 0.312051i
\(319\) 6.89539 0.386068
\(320\) −27.6098 7.71572i −1.54343 0.431322i
\(321\) −0.406384 + 5.81043i −0.0226822 + 0.324307i
\(322\) 1.27235 2.83577i 0.0709051 0.158031i
\(323\) 11.0806 + 20.7303i 0.616539 + 1.15346i
\(324\) 13.4117 + 12.0052i 0.745097 + 0.666956i
\(325\) 10.8033 8.86601i 0.599258 0.491798i
\(326\) 30.0795 2.08241i 1.66595 0.115334i
\(327\) 3.84943 + 6.73531i 0.212874 + 0.372463i
\(328\) 21.1329 + 6.15736i 1.16687 + 0.339984i
\(329\) −4.62995 + 6.92921i −0.255257 + 0.382020i
\(330\) 6.95977 1.37927i 0.383123 0.0759263i
\(331\) 13.5039 4.09636i 0.742240 0.225156i 0.103554 0.994624i \(-0.466978\pi\)
0.638686 + 0.769468i \(0.279478\pi\)
\(332\) 21.8913 23.7196i 1.20144 1.30178i
\(333\) −13.9162 + 12.8071i −0.762601 + 0.701824i
\(334\) 5.85226 + 34.6548i 0.320221 + 1.89623i
\(335\) 4.75203 11.4724i 0.259631 0.626805i
\(336\) −8.50868 + 10.5885i −0.464186 + 0.577647i
\(337\) 3.96830 + 9.58032i 0.216167 + 0.521873i 0.994348 0.106166i \(-0.0338576\pi\)
−0.778181 + 0.628040i \(0.783858\pi\)
\(338\) 11.7703 7.37925i 0.640217 0.401378i
\(339\) −0.850314 29.9875i −0.0461827 1.62870i
\(340\) −34.7826 + 8.37981i −1.88635 + 0.454459i
\(341\) −2.09654 + 3.92235i −0.113534 + 0.212407i
\(342\) −19.2697 5.26845i −1.04199 0.284885i
\(343\) 19.5294 3.88464i 1.05449 0.209751i
\(344\) 28.7369 19.6624i 1.54939 1.06013i
\(345\) −1.83013 + 6.71248i −0.0985309 + 0.361388i
\(346\) −14.9982 + 7.46482i −0.806306 + 0.401311i
\(347\) −4.40710 0.434061i −0.236585 0.0233016i −0.0209705 0.999780i \(-0.506676\pi\)
−0.215615 + 0.976478i \(0.569176\pi\)
\(348\) 19.4182 22.2750i 1.04092 1.19406i
\(349\) −24.0791 7.30430i −1.28892 0.390990i −0.429876 0.902888i \(-0.641443\pi\)
−0.859047 + 0.511897i \(0.828943\pi\)
\(350\) 14.9203 + 15.8135i 0.797524 + 0.845269i
\(351\) −7.76742 + 5.04377i −0.414594 + 0.269217i
\(352\) 3.91732 2.35855i 0.208794 0.125711i
\(353\) −1.92090 + 1.92090i −0.102239 + 0.102239i −0.756376 0.654137i \(-0.773032\pi\)
0.654137 + 0.756376i \(0.273032\pi\)
\(354\) −2.36143 0.234267i −0.125509 0.0124511i
\(355\) 9.21205 + 2.79445i 0.488925 + 0.148314i
\(356\) 3.30141 + 5.62249i 0.174974 + 0.297992i
\(357\) −2.83468 + 16.7139i −0.150027 + 0.884592i
\(358\) 24.4746 + 8.20797i 1.29352 + 0.433804i
\(359\) −5.52392 + 27.7706i −0.291541 + 1.46568i 0.506063 + 0.862497i \(0.331100\pi\)
−0.797604 + 0.603181i \(0.793900\pi\)
\(360\) 15.1438 26.3671i 0.798151 1.38967i
\(361\) 3.11012 0.618641i 0.163690 0.0325601i
\(362\) −13.4283 + 10.3824i −0.705777 + 0.545689i
\(363\) 9.52995 15.1769i 0.500193 0.796579i
\(364\) −4.11252 5.65095i −0.215555 0.296190i
\(365\) −38.2993 + 3.77215i −2.00468 + 0.197444i
\(366\) −6.31837 + 20.7760i −0.330266 + 1.08598i
\(367\) 4.04588 + 9.76762i 0.211193 + 0.509865i 0.993607 0.112893i \(-0.0360118\pi\)
−0.782414 + 0.622759i \(0.786012\pi\)
\(368\) 0.358905 + 4.46946i 0.0187092 + 0.232987i
\(369\) −11.8500 + 20.1161i −0.616887 + 1.04720i
\(370\) 26.0369 + 18.5135i 1.35359 + 0.962473i
\(371\) 7.29426 + 5.98624i 0.378699 + 0.310790i
\(372\) 6.76673 + 17.8184i 0.350838 + 0.923843i
\(373\) 29.6917 9.00687i 1.53738 0.466358i 0.595793 0.803138i \(-0.296838\pi\)
0.941583 + 0.336780i \(0.109338\pi\)
\(374\) 2.83516 4.95253i 0.146603 0.256089i
\(375\) −13.9429 10.7960i −0.720006 0.557504i
\(376\) 1.04660 11.9767i 0.0539743 0.617652i
\(377\) 8.44709 + 12.6420i 0.435047 + 0.651094i
\(378\) −8.66222 11.5127i −0.445536 0.592151i
\(379\) −23.3025 + 19.1238i −1.19697 + 0.982326i −0.196970 + 0.980410i \(0.563110\pi\)
−0.999998 + 0.00191659i \(0.999390\pi\)
\(380\) −1.95988 + 33.6892i −0.100540 + 1.72822i
\(381\) −9.33549 20.8461i −0.478272 1.06798i
\(382\) −24.5823 + 9.35525i −1.25774 + 0.478656i
\(383\) −7.00384 −0.357879 −0.178940 0.983860i \(-0.557267\pi\)
−0.178940 + 0.983860i \(0.557267\pi\)
\(384\) 3.41252 19.2965i 0.174144 0.984720i
\(385\) −5.67907 −0.289432
\(386\) −14.6861 + 5.58906i −0.747501 + 0.284476i
\(387\) 12.7062 + 34.6774i 0.645893 + 1.76275i
\(388\) −27.7664 1.61532i −1.40962 0.0820055i
\(389\) −19.8521 + 16.2922i −1.00654 + 0.826046i −0.984795 0.173718i \(-0.944422\pi\)
−0.0217443 + 0.999764i \(0.506922\pi\)
\(390\) 11.0547 + 11.0703i 0.559776 + 0.560568i
\(391\) 3.10894 + 4.65285i 0.157226 + 0.235305i
\(392\) −6.83749 + 5.73852i −0.345345 + 0.289839i
\(393\) 0.450345 0.581612i 0.0227169 0.0293384i
\(394\) −14.8433 + 25.9287i −0.747796 + 1.30627i
\(395\) −8.24476 + 2.50102i −0.414839 + 0.125840i
\(396\) 1.40129 + 4.64307i 0.0704176 + 0.233323i
\(397\) 21.7076 + 17.8150i 1.08947 + 0.894107i 0.994845 0.101406i \(-0.0323340\pi\)
0.0946274 + 0.995513i \(0.469834\pi\)
\(398\) 7.04518 + 5.00947i 0.353143 + 0.251102i
\(399\) 14.3098 + 7.13486i 0.716388 + 0.357190i
\(400\) −29.8447 9.64471i −1.49224 0.482236i
\(401\) 0.781389 + 1.88644i 0.0390207 + 0.0942043i 0.942188 0.335084i \(-0.108765\pi\)
−0.903168 + 0.429288i \(0.858765\pi\)
\(402\) 8.12092 + 2.46973i 0.405035 + 0.123179i
\(403\) −9.75953 + 0.961230i −0.486157 + 0.0478823i
\(404\) 26.4024 19.2145i 1.31357 0.955959i
\(405\) 23.1493 + 22.4553i 1.15030 + 1.11581i
\(406\) −18.7121 + 14.4677i −0.928666 + 0.718021i
\(407\) −4.99786 + 0.994136i −0.247735 + 0.0492775i
\(408\) −8.01459 23.1056i −0.396782 1.14390i
\(409\) 0.0985007 0.495197i 0.00487055 0.0244859i −0.978274 0.207318i \(-0.933526\pi\)
0.983144 + 0.182832i \(0.0585265\pi\)
\(410\) 37.3922 + 12.5401i 1.84667 + 0.619310i
\(411\) 2.74506 + 0.465563i 0.135404 + 0.0229645i
\(412\) 7.36233 4.32300i 0.362716 0.212979i
\(413\) 1.81763 + 0.551371i 0.0894395 + 0.0271312i
\(414\) −4.68832 0.798550i −0.230418 0.0392466i
\(415\) 40.8939 40.8939i 2.00740 2.00740i
\(416\) 9.12300 + 4.29269i 0.447292 + 0.210467i
\(417\) −14.5274 16.7124i −0.711412 0.818408i
\(418\) −3.69389 3.91503i −0.180674 0.191490i
\(419\) −9.31277 2.82500i −0.454958 0.138010i 0.0544844 0.998515i \(-0.482648\pi\)
−0.509443 + 0.860504i \(0.670148\pi\)
\(420\) −15.9929 + 18.3457i −0.780372 + 0.895180i
\(421\) 7.14890 + 0.704105i 0.348416 + 0.0343160i 0.270712 0.962660i \(-0.412741\pi\)
0.0777043 + 0.996976i \(0.475241\pi\)
\(422\) 17.1800 8.55078i 0.836311 0.416246i
\(423\) 12.0386 + 4.20442i 0.585335 + 0.204426i
\(424\) −13.3797 2.50858i −0.649775 0.121827i
\(425\) −38.3914 + 7.63652i −1.86225 + 0.370425i
\(426\) −1.28832 + 6.45296i −0.0624191 + 0.312647i
\(427\) 8.19358 15.3291i 0.396515 0.741827i
\(428\) 1.57528 + 6.53862i 0.0761441 + 0.316056i
\(429\) −2.49437 + 0.0707294i −0.120429 + 0.00341485i
\(430\) 52.8583 33.1390i 2.54906 1.59811i
\(431\) −6.67594 16.1171i −0.321569 0.776335i −0.999163 0.0408998i \(-0.986978\pi\)
0.677595 0.735436i \(-0.263022\pi\)
\(432\) 18.9452 + 8.54862i 0.911502 + 0.411296i
\(433\) −0.423569 + 1.02259i −0.0203554 + 0.0491424i −0.933730 0.357977i \(-0.883467\pi\)
0.913375 + 0.407119i \(0.133467\pi\)
\(434\) −2.54036 15.0430i −0.121941 0.722088i
\(435\) 36.3627 38.4850i 1.74346 1.84522i
\(436\) 6.58279 + 6.07537i 0.315259 + 0.290958i
\(437\) 5.05090 1.53217i 0.241617 0.0732939i
\(438\) −5.11388 25.8046i −0.244351 1.23299i
\(439\) 7.61693 11.3995i 0.363536 0.544071i −0.603941 0.797029i \(-0.706404\pi\)
0.967477 + 0.252959i \(0.0814036\pi\)
\(440\) 7.18240 3.94135i 0.342407 0.187896i
\(441\) −4.11307 8.52787i −0.195861 0.406089i
\(442\) 12.5531 0.869052i 0.597090 0.0413366i
\(443\) 8.76879 7.19636i 0.416618 0.341909i −0.402616 0.915369i \(-0.631899\pi\)
0.819234 + 0.573460i \(0.194399\pi\)
\(444\) −10.8630 + 18.9447i −0.515537 + 0.899077i
\(445\) 5.50697 + 10.3028i 0.261055 + 0.488400i
\(446\) −5.37864 + 11.9877i −0.254686 + 0.567636i
\(447\) −24.0542 1.68236i −1.13772 0.0795730i
\(448\) −5.68185 + 14.6196i −0.268442 + 0.690713i
\(449\) 4.18647 0.197572 0.0987859 0.995109i \(-0.468504\pi\)
0.0987859 + 0.995109i \(0.468504\pi\)
\(450\) 17.7106 28.1608i 0.834888 1.32751i
\(451\) −5.54781 + 2.96536i −0.261236 + 0.139634i
\(452\) −11.3753 32.7196i −0.535049 1.53900i
\(453\) 1.29748 + 1.82748i 0.0609610 + 0.0858623i
\(454\) −40.5627 + 2.80816i −1.90370 + 0.131793i
\(455\) −6.95705 10.4120i −0.326152 0.488120i
\(456\) −23.0495 + 0.907649i −1.07939 + 0.0425046i
\(457\) 9.00929 + 6.01981i 0.421437 + 0.281595i 0.748152 0.663528i \(-0.230942\pi\)
−0.326715 + 0.945123i \(0.605942\pi\)
\(458\) −28.3957 + 7.72040i −1.32684 + 0.360751i
\(459\) 25.8459 2.20335i 1.20638 0.102844i
\(460\) 0.321788 + 8.02738i 0.0150034 + 0.374278i
\(461\) 1.84640 + 1.51530i 0.0859952 + 0.0705744i 0.676409 0.736526i \(-0.263535\pi\)
−0.590414 + 0.807101i \(0.701035\pi\)
\(462\) −0.377768 3.86354i −0.0175753 0.179748i
\(463\) 4.36149 + 1.80659i 0.202696 + 0.0839593i 0.481722 0.876324i \(-0.340012\pi\)
−0.279026 + 0.960284i \(0.590012\pi\)
\(464\) 13.6247 31.2840i 0.632510 1.45232i
\(465\) 10.8356 + 32.3857i 0.502490 + 1.50185i
\(466\) 26.3814 16.5396i 1.22210 0.766182i
\(467\) 23.2343 2.28838i 1.07516 0.105894i 0.455092 0.890444i \(-0.349606\pi\)
0.620065 + 0.784551i \(0.287106\pi\)
\(468\) −6.79593 + 8.25703i −0.314142 + 0.381682i
\(469\) −5.99184 3.20271i −0.276678 0.147887i
\(470\) 2.73324 21.3666i 0.126075 0.985570i
\(471\) 3.13287 + 24.6290i 0.144355 + 1.13484i
\(472\) −2.68144 + 0.564130i −0.123423 + 0.0259662i
\(473\) −1.94133 + 9.75974i −0.0892626 + 0.448753i
\(474\) −2.24991 5.44264i −0.103342 0.249989i
\(475\) −3.61887 + 36.7430i −0.166045 + 1.68588i
\(476\) 2.69745 + 19.3884i 0.123637 + 0.888665i
\(477\) 6.07380 13.0989i 0.278100 0.599758i
\(478\) 9.12367 + 9.66987i 0.417307 + 0.442289i
\(479\) 0.742652 0.742652i 0.0339326 0.0339326i −0.689937 0.723870i \(-0.742362\pi\)
0.723870 + 0.689937i \(0.242362\pi\)
\(480\) 7.49422 34.3014i 0.342063 1.56564i
\(481\) −7.94518 7.94518i −0.362269 0.362269i
\(482\) 0.0995948 3.42684i 0.00453642 0.156088i
\(483\) 3.55678 + 1.35648i 0.161839 + 0.0617219i
\(484\) 5.20895 20.0269i 0.236770 0.910314i
\(485\) −49.5939 4.88457i −2.25194 0.221797i
\(486\) −13.7367 + 17.2425i −0.623110 + 0.782134i
\(487\) −34.8475 6.93159i −1.57909 0.314100i −0.673806 0.738908i \(-0.735342\pi\)
−0.905284 + 0.424808i \(0.860342\pi\)
\(488\) 0.276066 + 25.0734i 0.0124969 + 1.13502i
\(489\) 4.65977 + 36.6328i 0.210722 + 1.65659i
\(490\) −12.6529 + 9.78289i −0.571599 + 0.441946i
\(491\) 4.94954 9.25994i 0.223370 0.417895i −0.745127 0.666923i \(-0.767611\pi\)
0.968496 + 0.249028i \(0.0801111\pi\)
\(492\) −6.04386 + 26.2725i −0.272478 + 1.18446i
\(493\) −4.17407 42.3801i −0.187991 1.90870i
\(494\) 2.65264 11.5684i 0.119348 0.520486i
\(495\) 2.17550 + 8.41299i 0.0977816 + 0.378136i
\(496\) 13.6529 + 17.2621i 0.613032 + 0.775090i
\(497\) 2.01559 4.86607i 0.0904117 0.218273i
\(498\) 30.5408 + 25.1004i 1.36857 + 1.12477i
\(499\) 17.5463 21.3803i 0.785482 0.957112i −0.214325 0.976762i \(-0.568755\pi\)
0.999807 + 0.0196501i \(0.00625523\pi\)
\(500\) −19.1090 7.03244i −0.854581 0.314500i
\(501\) −41.9622 + 9.59075i −1.87473 + 0.428483i
\(502\) 10.0390 17.5364i 0.448064 0.782689i
\(503\) 4.71940 7.06308i 0.210428 0.314927i −0.711209 0.702980i \(-0.751852\pi\)
0.921637 + 0.388053i \(0.126852\pi\)
\(504\) −13.5447 9.65979i −0.603327 0.430281i
\(505\) 48.6468 32.5048i 2.16475 1.44644i
\(506\) −0.966512 0.841353i −0.0429667 0.0374027i
\(507\) 9.84985 + 13.8733i 0.437447 + 0.616135i
\(508\) −17.5350 19.7012i −0.777990 0.874102i
\(509\) 1.65296 + 3.09247i 0.0732662 + 0.137072i 0.915887 0.401435i \(-0.131489\pi\)
−0.842621 + 0.538507i \(0.818989\pi\)
\(510\) −12.6902 41.9408i −0.561933 1.85717i
\(511\) 21.0561i 0.931469i
\(512\) −2.96031 22.4329i −0.130828 0.991405i
\(513\) 5.08789 23.9318i 0.224636 1.05662i
\(514\) −13.3226 + 5.07018i −0.587636 + 0.223636i
\(515\) 13.4909 7.21105i 0.594481 0.317757i
\(516\) 26.0610 + 33.7558i 1.14727 + 1.48602i
\(517\) 2.17965 + 2.65591i 0.0958608 + 0.116807i
\(518\) 11.4769 13.1842i 0.504265 0.579279i
\(519\) −10.1813 17.8141i −0.446909 0.781954i
\(520\) 16.0247 + 8.33987i 0.702730 + 0.365728i
\(521\) −10.8346 7.23942i −0.474670 0.317165i 0.295121 0.955460i \(-0.404640\pi\)
−0.769792 + 0.638295i \(0.779640\pi\)
\(522\) 28.6006 + 22.1780i 1.25182 + 0.970703i
\(523\) −3.83909 12.6558i −0.167872 0.553398i 0.832128 0.554584i \(-0.187123\pi\)
−0.999999 + 0.00118562i \(0.999623\pi\)
\(524\) 0.293351 0.797113i 0.0128151 0.0348220i
\(525\) −18.2873 + 19.3546i −0.798122 + 0.844705i
\(526\) −28.3476 20.1565i −1.23601 0.878867i
\(527\) 25.3764 + 10.5113i 1.10541 + 0.457878i
\(528\) 3.15911 + 4.62410i 0.137483 + 0.201238i
\(529\) −20.0883 + 8.32086i −0.873405 + 0.361776i
\(530\) −23.7734 5.45128i −1.03265 0.236788i
\(531\) 0.120517 2.90385i 0.00523001 0.126016i
\(532\) 18.2385 + 2.87384i 0.790741 + 0.124597i
\(533\) −12.2329 6.53864i −0.529867 0.283220i
\(534\) −6.64281 + 4.43179i −0.287462 + 0.191782i
\(535\) 2.35096 + 11.8191i 0.101641 + 0.510982i
\(536\) 9.80069 0.107909i 0.423325 0.00466095i
\(537\) −8.31639 + 30.5025i −0.358879 + 1.31628i
\(538\) 11.5232 + 3.86450i 0.496800 + 0.166610i
\(539\) 0.250046 2.53876i 0.0107702 0.109352i
\(540\) 33.3039 + 16.6641i 1.43317 + 0.717109i
\(541\) −5.90380 + 19.4622i −0.253824 + 0.836747i 0.733726 + 0.679445i \(0.237779\pi\)
−0.987551 + 0.157302i \(0.949721\pi\)
\(542\) −3.97847 0.115627i −0.170890 0.00496660i
\(543\) −13.6384 15.6897i −0.585281 0.673308i
\(544\) −16.8673 22.6487i −0.723179 0.971055i
\(545\) 11.3491 + 11.3491i 0.486141 + 0.486141i
\(546\) 6.62060 5.42556i 0.283336 0.232193i
\(547\) 6.37606 21.0191i 0.272621 0.898710i −0.708565 0.705645i \(-0.750657\pi\)
0.981186 0.193065i \(-0.0618428\pi\)
\(548\) 3.18432 0.443024i 0.136027 0.0189251i
\(549\) −25.8473 6.26581i −1.10314 0.267418i
\(550\) 8.02448 3.99391i 0.342165 0.170301i
\(551\) −39.3952 7.83619i −1.67829 0.333833i
\(552\) −5.43972 + 0.752892i −0.231530 + 0.0320452i
\(553\) 0.919645 + 4.62337i 0.0391073 + 0.196606i
\(554\) −23.8927 3.05637i −1.01510 0.129853i
\(555\) −20.8075 + 33.1369i −0.883230 + 1.40658i
\(556\) −21.8122 13.3427i −0.925044 0.565856i
\(557\) 1.27506 + 12.9459i 0.0540260 + 0.548535i 0.983658 + 0.180046i \(0.0576247\pi\)
−0.929632 + 0.368489i \(0.879875\pi\)
\(558\) −21.3116 + 9.52588i −0.902193 + 0.403263i
\(559\) −20.2716 + 8.39679i −0.857399 + 0.355146i
\(560\) −11.2213 + 25.7656i −0.474188 + 1.08879i
\(561\) 6.25481 + 3.11864i 0.264078 + 0.131669i
\(562\) −0.355502 2.10515i −0.0149960 0.0888003i
\(563\) −16.2059 + 19.7469i −0.682996 + 0.832233i −0.992952 0.118518i \(-0.962186\pi\)
0.309956 + 0.950751i \(0.399686\pi\)
\(564\) 14.7178 + 0.438159i 0.619731 + 0.0184498i
\(565\) −18.0169 59.3938i −0.757977 2.49871i
\(566\) 2.26785 + 8.34117i 0.0953249 + 0.350606i
\(567\) 13.4683 11.4005i 0.565615 0.478775i
\(568\) 0.827968 + 7.55303i 0.0347408 + 0.316918i
\(569\) 14.9603 9.99616i 0.627169 0.419061i −0.200959 0.979600i \(-0.564406\pi\)
0.828128 + 0.560539i \(0.189406\pi\)
\(570\) −41.3304 0.0292196i −1.73114 0.00122387i
\(571\) −19.4149 23.6571i −0.812489 0.990020i −0.999970 0.00775202i \(-0.997532\pi\)
0.187481 0.982268i \(-0.439968\pi\)
\(572\) −2.72162 + 0.946201i −0.113797 + 0.0395626i
\(573\) −13.1662 29.4001i −0.550026 1.22821i
\(574\) 8.83330 19.6874i 0.368695 0.821736i
\(575\) 8.78959i 0.366551i
\(576\) 23.8341 + 2.81670i 0.993089 + 0.117363i
\(577\) 1.99034i 0.0828590i −0.999141 0.0414295i \(-0.986809\pi\)
0.999141 0.0414295i \(-0.0131912\pi\)
\(578\) −10.2203 4.58560i −0.425107 0.190736i
\(579\) −7.86583 17.5643i −0.326893 0.729949i
\(580\) 26.6372 55.0295i 1.10605 2.28498i
\(581\) −20.0735 24.4596i −0.832790 1.01476i
\(582\) 0.0240825 34.0642i 0.000998253 1.41201i
\(583\) 3.23469 2.16135i 0.133967 0.0895140i
\(584\) −14.6132 26.6300i −0.604700 1.10196i
\(585\) −12.7592 + 14.2947i −0.527530 + 0.591015i
\(586\) 17.4170 4.73544i 0.719489 0.195619i
\(587\) 7.92176 + 26.1145i 0.326966 + 1.07786i 0.954234 + 0.299059i \(0.0966729\pi\)
−0.627268 + 0.778803i \(0.715827\pi\)
\(588\) −7.49708 7.95716i −0.309174 0.328148i
\(589\) 16.4356 20.0268i 0.677216 0.825190i
\(590\) −4.84102 + 0.817518i −0.199302 + 0.0336567i
\(591\) −32.7467 16.3275i −1.34702 0.671622i
\(592\) −5.36499 + 24.6393i −0.220500 + 1.01267i
\(593\) 24.4631 10.1329i 1.00458 0.416110i 0.181104 0.983464i \(-0.442033\pi\)
0.823474 + 0.567354i \(0.192033\pi\)
\(594\) −5.57874 + 2.03965i −0.228899 + 0.0836877i
\(595\) 3.43778 + 34.9044i 0.140935 + 1.43094i
\(596\) −27.0688 + 6.52140i −1.10878 + 0.267127i
\(597\) −5.63019 + 8.96633i −0.230428 + 0.366967i
\(598\) 0.358521 2.80268i 0.0146610 0.114610i
\(599\) 1.86122 + 9.35700i 0.0760475 + 0.382317i 1.00000 0.000190629i \(-6.06790e-5\pi\)
−0.923952 + 0.382507i \(0.875061\pi\)
\(600\) 9.69580 37.1697i 0.395830 1.51745i
\(601\) 21.6642 + 4.30927i 0.883700 + 0.175779i 0.616021 0.787729i \(-0.288744\pi\)
0.267678 + 0.963508i \(0.413744\pi\)
\(602\) −15.2094 30.5584i −0.619889 1.24547i
\(603\) −2.44918 + 10.1032i −0.0997384 + 0.411435i
\(604\) 2.06467 + 1.56033i 0.0840102 + 0.0634891i
\(605\) 10.7628 35.4801i 0.437569 1.44247i
\(606\) 25.3493 + 30.9328i 1.02975 + 1.25656i
\(607\) −25.6808 25.6808i −1.04235 1.04235i −0.999063 0.0432869i \(-0.986217\pi\)
−0.0432869 0.999063i \(-0.513783\pi\)
\(608\) −25.0610 + 9.02320i −1.01636 + 0.365939i
\(609\) −19.0049 21.8632i −0.770117 0.885943i
\(610\) −1.30518 + 44.9084i −0.0528451 + 1.81829i
\(611\) −2.19918 + 7.24972i −0.0889693 + 0.293292i
\(612\) 27.6887 11.4232i 1.11925 0.461755i
\(613\) 2.41968 24.5674i 0.0977301 0.992270i −0.813830 0.581103i \(-0.802621\pi\)
0.911560 0.411167i \(-0.134879\pi\)
\(614\) 6.81839 20.3312i 0.275168 0.820499i
\(615\) −12.7057 + 46.6016i −0.512344 + 1.87916i
\(616\) −1.76087 4.12216i −0.0709475 0.166086i
\(617\) 4.99760 + 25.1246i 0.201196 + 1.01148i 0.940935 + 0.338586i \(0.109949\pi\)
−0.739740 + 0.672893i \(0.765051\pi\)
\(618\) 5.80317 + 8.69837i 0.233438 + 0.349900i
\(619\) 3.41385 + 1.82474i 0.137214 + 0.0733426i 0.538575 0.842577i \(-0.318963\pi\)
−0.401361 + 0.915920i \(0.631463\pi\)
\(620\) 23.2037 + 31.8839i 0.931885 + 1.28049i
\(621\) 0.646983 5.78865i 0.0259625 0.232290i
\(622\) −2.60721 + 11.3703i −0.104540 + 0.455906i
\(623\) 5.90517 2.44600i 0.236586 0.0979970i
\(624\) −4.60776 + 11.4566i −0.184458 + 0.458630i
\(625\) 2.51528 + 1.04186i 0.100611 + 0.0416745i
\(626\) 1.11660 1.57035i 0.0446283 0.0627640i
\(627\) 4.52746 4.79171i 0.180809 0.191363i
\(628\) 12.0229 + 26.0254i 0.479768 + 1.03852i
\(629\) 9.13551 + 30.1157i 0.364257 + 1.20079i
\(630\) −23.5556 18.2658i −0.938477 0.727729i
\(631\) −23.9294 15.9891i −0.952613 0.636516i −0.0209272 0.999781i \(-0.506662\pi\)
−0.931686 + 0.363265i \(0.881662\pi\)
\(632\) −4.37177 5.20899i −0.173900 0.207203i
\(633\) 11.6624 + 20.4057i 0.463540 + 0.811053i
\(634\) 2.03857 + 1.77458i 0.0809619 + 0.0704777i
\(635\) −29.9788 36.5293i −1.18967 1.44962i
\(636\) 2.12718 16.5360i 0.0843480 0.655694i
\(637\) 4.96085 2.65163i 0.196556 0.105061i
\(638\) 3.46846 + 9.11388i 0.137318 + 0.360822i
\(639\) −7.98073 1.12184i −0.315713 0.0443793i
\(640\) −3.68988 40.3738i −0.145855 1.59592i
\(641\) 34.7220i 1.37144i −0.727867 0.685718i \(-0.759488\pi\)
0.727867 0.685718i \(-0.240512\pi\)
\(642\) −7.88426 + 2.38558i −0.311167 + 0.0941513i
\(643\) −2.57057 4.80920i −0.101373 0.189656i 0.826122 0.563492i \(-0.190542\pi\)
−0.927495 + 0.373836i \(0.878042\pi\)
\(644\) 4.38814 + 0.255282i 0.172917 + 0.0100595i
\(645\) 44.2341 + 62.3028i 1.74172 + 2.45317i
\(646\) −21.8262 + 25.0731i −0.858742 + 0.986488i
\(647\) −16.6829 + 11.1472i −0.655872 + 0.438240i −0.838470 0.544948i \(-0.816549\pi\)
0.182598 + 0.983188i \(0.441549\pi\)
\(648\) −9.12144 + 23.7655i −0.358324 + 0.933597i
\(649\) 0.435060 0.651113i 0.0170776 0.0255584i
\(650\) 17.1527 + 9.81934i 0.672783 + 0.385146i
\(651\) 18.2150 4.16317i 0.713903 0.163168i
\(652\) 17.8827 + 38.7097i 0.700342 + 1.51599i
\(653\) 22.2195 27.0746i 0.869518 1.05951i −0.128184 0.991750i \(-0.540915\pi\)
0.997702 0.0677602i \(-0.0215853\pi\)
\(654\) −6.96598 + 8.47585i −0.272392 + 0.331432i
\(655\) 0.582388 1.40601i 0.0227558 0.0549373i
\(656\) 2.49171 + 31.0294i 0.0972848 + 1.21149i
\(657\) 31.1926 8.06605i 1.21694 0.314687i
\(658\) −11.4875 2.63409i −0.447829 0.102688i
\(659\) −4.54899 46.1866i −0.177203 1.79918i −0.514200 0.857670i \(-0.671911\pi\)
0.336996 0.941506i \(-0.390589\pi\)
\(660\) 5.32387 + 8.50518i 0.207231 + 0.331064i
\(661\) −12.5560 + 23.4906i −0.488371 + 0.913678i 0.510191 + 0.860061i \(0.329575\pi\)
−0.998562 + 0.0536166i \(0.982925\pi\)
\(662\) 12.2069 + 15.7880i 0.474434 + 0.613619i
\(663\) 1.94466 + 15.2879i 0.0755244 + 0.593735i
\(664\) 42.3626 + 17.0032i 1.64399 + 0.659851i
\(665\) 32.4460 + 6.45391i 1.25820 + 0.250272i
\(666\) −23.9275 11.9514i −0.927173 0.463106i
\(667\) −9.51636 0.937280i −0.368475 0.0362916i
\(668\) −42.8607 + 25.1669i −1.65833 + 0.973736i
\(669\) −15.0357 5.73428i −0.581313 0.221700i
\(670\) 17.5538 + 0.510168i 0.678162 + 0.0197095i
\(671\) −5.06713 5.06713i −0.195615 0.195615i
\(672\) −18.2751 5.92010i −0.704976 0.228373i
\(673\) −10.6161 + 10.6161i −0.409221 + 0.409221i −0.881467 0.472246i \(-0.843443\pi\)
0.472246 + 0.881467i \(0.343443\pi\)
\(674\) −10.6665 + 10.0640i −0.410860 + 0.387652i
\(675\) 35.6774 + 19.6766i 1.37322 + 0.757351i
\(676\) 15.6740 + 11.8453i 0.602845 + 0.455588i
\(677\) 1.71537 17.4164i 0.0659270 0.669368i −0.904255 0.426992i \(-0.859573\pi\)
0.970182 0.242376i \(-0.0779268\pi\)
\(678\) 39.2078 16.2079i 1.50577 0.622462i
\(679\) −5.31926 + 26.7417i −0.204134 + 1.02625i
\(680\) −28.5719 41.7582i −1.09568 1.60135i
\(681\) −6.28376 49.3998i −0.240794 1.89300i
\(682\) −6.23888 0.798082i −0.238899 0.0305601i
\(683\) 29.7131 + 15.8820i 1.13694 + 0.607708i 0.928870 0.370406i \(-0.120781\pi\)
0.208071 + 0.978114i \(0.433281\pi\)
\(684\) −2.72939 28.1195i −0.104361 1.07518i
\(685\) 5.73263 0.564615i 0.219033 0.0215728i
\(686\) 14.9579 + 23.8586i 0.571097 + 0.910927i
\(687\) −11.4352 34.1777i −0.436279 1.30396i
\(688\) 40.4434 + 28.0921i 1.54189 + 1.07100i
\(689\) 7.92521 + 3.28273i 0.301926 + 0.125062i
\(690\) −9.79269 + 0.957506i −0.372801 + 0.0364516i
\(691\) 9.56864 + 7.85278i 0.364008 + 0.298734i 0.798563 0.601912i \(-0.205594\pi\)
−0.434554 + 0.900646i \(0.643094\pi\)
\(692\) −17.4107 16.0687i −0.661857 0.610839i
\(693\) 4.69751 0.733380i 0.178444 0.0278588i
\(694\) −1.64311 6.04335i −0.0623714 0.229402i
\(695\) −38.0926 25.4526i −1.44493 0.965473i
\(696\) 39.2091 + 14.4611i 1.48622 + 0.548146i
\(697\) 21.5839 + 32.3025i 0.817547 + 1.22355i
\(698\) −2.45769 35.5003i −0.0930248 1.34370i
\(699\) 22.0771 + 31.0952i 0.835034 + 1.17613i
\(700\) −13.3962 + 27.6751i −0.506329 + 1.04602i
\(701\) 30.0358 16.0545i 1.13444 0.606369i 0.206256 0.978498i \(-0.433872\pi\)
0.928181 + 0.372129i \(0.121372\pi\)
\(702\) −10.5736 7.72939i −0.399076 0.291727i
\(703\) 29.6838 1.11955
\(704\) 5.08783 + 3.99128i 0.191755 + 0.150427i
\(705\) 26.3176 + 1.84067i 0.991179 + 0.0693236i
\(706\) −3.50516 1.57269i −0.131918 0.0591889i
\(707\) −15.0899 28.2312i −0.567514 1.06174i
\(708\) −0.878189 3.23903i −0.0330044 0.121730i
\(709\) 25.5274 20.9498i 0.958701 0.786785i −0.0183413 0.999832i \(-0.505839\pi\)
0.977042 + 0.213046i \(0.0683385\pi\)
\(710\) 0.940250 + 13.5815i 0.0352869 + 0.509705i
\(711\) 6.49678 3.13346i 0.243648 0.117514i
\(712\) −5.77080 + 7.19176i −0.216270 + 0.269523i
\(713\) 3.42660 5.12827i 0.128327 0.192055i
\(714\) −23.5172 + 4.66058i −0.880108 + 0.174418i
\(715\) −4.94039 + 1.49865i −0.184760 + 0.0560464i
\(716\) 1.46225 + 36.4776i 0.0546469 + 1.36323i
\(717\) −11.1825 + 11.8352i −0.417619 + 0.441994i
\(718\) −39.4840 + 6.66777i −1.47353 + 0.248839i
\(719\) −7.97054 + 19.2426i −0.297251 + 0.717627i 0.702730 + 0.711457i \(0.251964\pi\)
−0.999981 + 0.00617073i \(0.998036\pi\)
\(720\) 42.4678 + 6.75319i 1.58268 + 0.251677i
\(721\) −3.20290 7.73248i −0.119282 0.287973i
\(722\) 2.38210 + 3.79956i 0.0886527 + 0.141405i
\(723\) 4.19709 0.119011i 0.156092 0.00442607i
\(724\) −20.4774 12.5262i −0.761037 0.465532i
\(725\) 31.5312 58.9907i 1.17104 2.19086i
\(726\) 24.8535 + 4.96193i 0.922398 + 0.184154i
\(727\) 28.4965 5.66831i 1.05688 0.210226i 0.364087 0.931365i \(-0.381381\pi\)
0.692790 + 0.721139i \(0.256381\pi\)
\(728\) 5.40041 8.27815i 0.200152 0.306809i
\(729\) −22.0480 15.5847i −0.816594 0.577212i
\(730\) −24.2508 48.7241i −0.897561 1.80336i
\(731\) 61.1599 + 6.02373i 2.26208 + 0.222796i
\(732\) −30.6385 + 2.09934i −1.13243 + 0.0775940i
\(733\) −12.3494 3.74616i −0.456137 0.138368i 0.0538513 0.998549i \(-0.482850\pi\)
−0.509988 + 0.860181i \(0.670350\pi\)
\(734\) −10.8751 + 10.2608i −0.401406 + 0.378733i
\(735\) −12.8509 14.7836i −0.474012 0.545303i
\(736\) −5.72691 + 2.72257i −0.211097 + 0.100355i
\(737\) −1.98064 + 1.98064i −0.0729579 + 0.0729579i
\(738\) −32.5488 5.54395i −1.19814 0.204076i
\(739\) 16.7730 + 5.08803i 0.617005 + 0.187166i 0.583288 0.812265i \(-0.301766\pi\)
0.0337164 + 0.999431i \(0.489266\pi\)
\(740\) −11.3731 + 43.7264i −0.418084 + 1.60741i
\(741\) 14.3314 + 2.43060i 0.526476 + 0.0892905i
\(742\) −4.24313 + 12.6522i −0.155770 + 0.464477i
\(743\) −1.26368 + 6.35293i −0.0463598 + 0.233066i −0.997018 0.0771751i \(-0.975410\pi\)
0.950658 + 0.310242i \(0.100410\pi\)
\(744\) −20.1475 + 17.9067i −0.738643 + 0.656491i
\(745\) −48.9289 + 9.73255i −1.79261 + 0.356573i
\(746\) 26.8399 + 34.7139i 0.982679 + 1.27097i
\(747\) −28.5450 + 39.1068i −1.04441 + 1.43084i
\(748\) 7.97204 + 1.25615i 0.291487 + 0.0459294i
\(749\) 6.56151 0.646252i 0.239752 0.0236135i
\(750\) 7.25605 23.8593i 0.264954 0.871217i
\(751\) 14.2442 + 34.3886i 0.519779 + 1.25486i 0.938039 + 0.346530i \(0.112640\pi\)
−0.418260 + 0.908327i \(0.637360\pi\)
\(752\) 16.3565 4.64109i 0.596459 0.169243i
\(753\) 22.1477 + 11.0428i 0.807106 + 0.402422i
\(754\) −12.4603 + 17.5238i −0.453779 + 0.638181i
\(755\) 3.58437 + 2.94162i 0.130449 + 0.107056i
\(756\) 10.8596 17.2402i 0.394959 0.627019i
\(757\) −26.1490 + 7.93222i −0.950403 + 0.288302i −0.727165 0.686463i \(-0.759163\pi\)
−0.223238 + 0.974764i \(0.571663\pi\)
\(758\) −36.9980 21.1802i −1.34383 0.769298i
\(759\) 0.960833 1.24090i 0.0348760 0.0450418i
\(760\) −45.5140 + 14.3556i −1.65097 + 0.520732i
\(761\) −13.5531 20.2837i −0.491301 0.735284i 0.500125 0.865953i \(-0.333287\pi\)
−0.991426 + 0.130670i \(0.958287\pi\)
\(762\) 22.8572 22.8249i 0.828027 0.826857i
\(763\) 6.78817 5.57090i 0.245748 0.201680i
\(764\) −24.7303 27.7854i −0.894711 1.00524i
\(765\) 50.3905 18.4637i 1.82187 0.667556i
\(766\) −3.52301 9.25721i −0.127291 0.334477i
\(767\) 1.72671 0.0623478
\(768\) 27.2214 5.19591i 0.982266 0.187491i
\(769\) 35.5720 1.28276 0.641380 0.767223i \(-0.278362\pi\)
0.641380 + 0.767223i \(0.278362\pi\)
\(770\) −2.85663 7.50622i −0.102946 0.270505i
\(771\) −7.13557 15.9337i −0.256981 0.573838i
\(772\) −14.7745 16.5997i −0.531746 0.597437i
\(773\) 9.68317 7.94677i 0.348280 0.285826i