Properties

Label 576.2.bm.a.205.85
Level $576$
Weight $2$
Character 576.205
Analytic conductor $4.599$
Analytic rank $0$
Dimension $1504$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 576 = 2^{6} \cdot 3^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 576.bm (of order \(48\), degree \(16\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.59938315643\)
Analytic rank: \(0\)
Dimension: \(1504\)
Relative dimension: \(94\) over \(\Q(\zeta_{48})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{48}]$

Embedding invariants

Embedding label 205.85
Character \(\chi\) \(=\) 576.205
Dual form 576.2.bm.a.517.85

$q$-expansion

\(f(q)\) \(=\) \(q+(1.32737 + 0.487953i) q^{2} +(-1.45886 + 0.933662i) q^{3} +(1.52380 + 1.29538i) q^{4} +(-2.04078 - 2.32706i) q^{5} +(-2.39203 + 0.527456i) q^{6} +(-3.49658 - 0.460333i) q^{7} +(1.39056 + 2.46299i) q^{8} +(1.25655 - 2.72417i) q^{9} +O(q^{10})\) \(q+(1.32737 + 0.487953i) q^{2} +(-1.45886 + 0.933662i) q^{3} +(1.52380 + 1.29538i) q^{4} +(-2.04078 - 2.32706i) q^{5} +(-2.39203 + 0.527456i) q^{6} +(-3.49658 - 0.460333i) q^{7} +(1.39056 + 2.46299i) q^{8} +(1.25655 - 2.72417i) q^{9} +(-1.57336 - 4.08466i) q^{10} +(0.915792 + 1.85704i) q^{11} +(-3.43247 - 0.467069i) q^{12} +(-0.864228 - 2.54593i) q^{13} +(-4.41662 - 2.31720i) q^{14} +(5.14990 + 1.48946i) q^{15} +(0.643957 + 3.94782i) q^{16} +(-5.16851 - 5.16851i) q^{17} +(2.99717 - 3.00283i) q^{18} +(1.60715 - 8.07969i) q^{19} +(-0.0953062 - 6.18957i) q^{20} +(5.53082 - 2.59306i) q^{21} +(0.309442 + 2.91184i) q^{22} +(0.0532407 + 0.404403i) q^{23} +(-4.32824 - 2.29485i) q^{24} +(-0.597807 + 4.54079i) q^{25} +(0.0951482 - 3.80109i) q^{26} +(0.710316 + 5.14737i) q^{27} +(-4.73179 - 5.23087i) q^{28} +(-3.08003 + 0.201876i) q^{29} +(6.10901 + 4.48997i) q^{30} +(-7.84587 + 4.52982i) q^{31} +(-1.07158 + 5.55443i) q^{32} +(-3.06986 - 1.85413i) q^{33} +(-4.33851 - 9.38249i) q^{34} +(6.06451 + 9.07618i) q^{35} +(5.44358 - 2.52338i) q^{36} +(-0.953475 - 4.79344i) q^{37} +(6.07579 - 9.94050i) q^{38} +(3.63783 + 2.90727i) q^{39} +(2.89371 - 8.26234i) q^{40} +(0.508541 + 3.86275i) q^{41} +(8.60671 - 0.743162i) q^{42} +(9.63376 - 4.75085i) q^{43} +(-1.01010 + 4.01607i) q^{44} +(-8.90364 + 2.63534i) q^{45} +(-0.126660 + 0.562770i) q^{46} +(-9.03395 + 2.42064i) q^{47} +(-4.62538 - 5.15809i) q^{48} +(5.25267 + 1.40745i) q^{49} +(-3.00920 + 5.73559i) q^{50} +(12.3658 + 2.71450i) q^{51} +(1.98105 - 4.99901i) q^{52} +(-0.824481 + 1.23392i) q^{53} +(-1.56883 + 7.17905i) q^{54} +(2.45252 - 5.92091i) q^{55} +(-3.72840 - 9.25218i) q^{56} +(5.19909 + 13.2877i) q^{57} +(-4.18684 - 1.23495i) q^{58} +(7.05072 + 8.03981i) q^{59} +(5.91801 + 8.94074i) q^{60} +(0.367189 + 5.60222i) q^{61} +(-12.6247 + 2.18431i) q^{62} +(-5.64765 + 8.94683i) q^{63} +(-4.13269 + 6.84988i) q^{64} +(-4.16084 + 7.20679i) q^{65} +(-3.17011 - 3.95905i) q^{66} +(-1.26358 - 0.623127i) q^{67} +(-1.18059 - 14.5710i) q^{68} +(-0.455246 - 0.540259i) q^{69} +(3.62108 + 15.0066i) q^{70} +(-0.142043 - 0.342923i) q^{71} +(8.45692 - 0.693236i) q^{72} +(0.715037 - 1.72625i) q^{73} +(1.07336 - 6.82790i) q^{74} +(-3.36745 - 7.18253i) q^{75} +(12.9153 - 10.2300i) q^{76} +(-2.34728 - 6.91486i) q^{77} +(3.41012 + 5.63410i) q^{78} +(0.200263 + 0.747391i) q^{79} +(7.87265 - 9.55515i) q^{80} +(-5.84216 - 6.84611i) q^{81} +(-1.20982 + 5.37543i) q^{82} +(-9.36701 - 8.21465i) q^{83} +(11.7869 + 3.21322i) q^{84} +(-1.47966 + 22.5752i) q^{85} +(15.1057 - 1.60529i) q^{86} +(4.30485 - 3.17022i) q^{87} +(-3.30042 + 4.83792i) q^{88} +(0.00819405 - 0.00339409i) q^{89} +(-13.1043 - 0.846488i) q^{90} +(1.84986 + 9.29989i) q^{91} +(-0.442729 + 0.685198i) q^{92} +(7.21672 - 13.9338i) q^{93} +(-13.1725 - 1.19507i) q^{94} +(-22.0818 + 12.7489i) q^{95} +(-3.62267 - 9.10364i) q^{96} +(6.18232 + 3.56937i) q^{97} +(6.28545 + 4.43126i) q^{98} +(6.20963 - 0.161300i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} + O(q^{10}) \) \( 1504q - 8q^{2} - 16q^{3} - 8q^{4} - 8q^{5} - 16q^{6} - 8q^{7} - 32q^{8} - 16q^{9} - 32q^{10} - 8q^{11} - 16q^{12} - 8q^{13} - 8q^{14} - 16q^{15} - 8q^{16} - 32q^{17} - 16q^{18} - 32q^{19} - 8q^{20} - 16q^{21} - 8q^{22} - 8q^{23} + 64q^{24} - 8q^{25} - 32q^{26} - 16q^{27} - 32q^{28} - 8q^{29} - 96q^{30} - 8q^{32} - 8q^{34} - 32q^{35} - 96q^{36} - 32q^{37} - 8q^{38} - 16q^{39} - 8q^{40} - 8q^{41} + 64q^{42} - 8q^{43} - 32q^{44} - 16q^{45} - 32q^{46} - 8q^{47} - 16q^{48} - 8q^{49} - 8q^{50} - 16q^{51} - 8q^{52} - 32q^{53} - 16q^{54} - 32q^{55} - 8q^{56} - 16q^{57} - 80q^{58} - 8q^{59} - 16q^{60} - 8q^{61} - 64q^{62} - 32q^{63} - 32q^{64} - 16q^{65} - 32q^{66} - 8q^{67} - 8q^{68} - 16q^{69} - 8q^{70} - 32q^{71} - 16q^{72} - 32q^{73} - 8q^{74} - 16q^{75} + 40q^{76} - 8q^{77} - 40q^{78} - 8q^{79} - 160q^{80} - 16q^{81} - 32q^{82} - 8q^{83} - 128q^{84} - 8q^{85} - 216q^{86} - 16q^{87} - 8q^{88} - 32q^{89} - 160q^{90} - 32q^{91} + 144q^{92} - 40q^{93} - 8q^{94} - 152q^{96} - 304q^{98} - 16q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).

\(n\) \(65\) \(127\) \(325\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(e\left(\frac{15}{16}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.32737 + 0.487953i 0.938590 + 0.345035i
\(3\) −1.45886 + 0.933662i −0.842274 + 0.539050i
\(4\) 1.52380 + 1.29538i 0.761902 + 0.647692i
\(5\) −2.04078 2.32706i −0.912663 1.04069i −0.999013 0.0444278i \(-0.985854\pi\)
0.0863496 0.996265i \(-0.472480\pi\)
\(6\) −2.39203 + 0.527456i −0.976541 + 0.215333i
\(7\) −3.49658 0.460333i −1.32158 0.173990i −0.563483 0.826128i \(-0.690539\pi\)
−0.758100 + 0.652138i \(0.773872\pi\)
\(8\) 1.39056 + 2.46299i 0.491637 + 0.870800i
\(9\) 1.25655 2.72417i 0.418850 0.908055i
\(10\) −1.57336 4.08466i −0.497541 1.29168i
\(11\) 0.915792 + 1.85704i 0.276122 + 0.559919i 0.990119 0.140229i \(-0.0447839\pi\)
−0.713998 + 0.700148i \(0.753117\pi\)
\(12\) −3.43247 0.467069i −0.990869 0.134831i
\(13\) −0.864228 2.54593i −0.239694 0.706115i −0.998498 0.0547958i \(-0.982549\pi\)
0.758804 0.651319i \(-0.225784\pi\)
\(14\) −4.41662 2.31720i −1.18039 0.619297i
\(15\) 5.14990 + 1.48946i 1.32970 + 0.384577i
\(16\) 0.643957 + 3.94782i 0.160989 + 0.986956i
\(17\) −5.16851 5.16851i −1.25355 1.25355i −0.954119 0.299428i \(-0.903204\pi\)
−0.299428 0.954119i \(-0.596796\pi\)
\(18\) 2.99717 3.00283i 0.706439 0.707774i
\(19\) 1.60715 8.07969i 0.368706 1.85361i −0.136542 0.990634i \(-0.543599\pi\)
0.505248 0.862974i \(-0.331401\pi\)
\(20\) −0.0953062 6.18957i −0.0213111 1.38403i
\(21\) 5.53082 2.59306i 1.20692 0.565852i
\(22\) 0.309442 + 2.91184i 0.0659733 + 0.620806i
\(23\) 0.0532407 + 0.404403i 0.0111014 + 0.0843239i 0.996099 0.0882462i \(-0.0281262\pi\)
−0.984997 + 0.172570i \(0.944793\pi\)
\(24\) −4.32824 2.29485i −0.883498 0.468435i
\(25\) −0.597807 + 4.54079i −0.119561 + 0.908158i
\(26\) 0.0951482 3.80109i 0.0186601 0.745455i
\(27\) 0.710316 + 5.14737i 0.136700 + 0.990612i
\(28\) −4.73179 5.23087i −0.894225 0.988542i
\(29\) −3.08003 + 0.201876i −0.571948 + 0.0374874i −0.348633 0.937259i \(-0.613354\pi\)
−0.223314 + 0.974747i \(0.571688\pi\)
\(30\) 6.10901 + 4.48997i 1.11535 + 0.819752i
\(31\) −7.84587 + 4.52982i −1.40916 + 0.813579i −0.995307 0.0967642i \(-0.969151\pi\)
−0.413853 + 0.910344i \(0.635817\pi\)
\(32\) −1.07158 + 5.55443i −0.189431 + 0.981894i
\(33\) −3.06986 1.85413i −0.534394 0.322762i
\(34\) −4.33851 9.38249i −0.744049 1.60908i
\(35\) 6.06451 + 9.07618i 1.02509 + 1.53416i
\(36\) 5.44358 2.52338i 0.907263 0.420563i
\(37\) −0.953475 4.79344i −0.156750 0.788037i −0.976534 0.215363i \(-0.930906\pi\)
0.819784 0.572673i \(-0.194094\pi\)
\(38\) 6.07579 9.94050i 0.985623 1.61256i
\(39\) 3.63783 + 2.90727i 0.582519 + 0.465535i
\(40\) 2.89371 8.26234i 0.457536 1.30639i
\(41\) 0.508541 + 3.86275i 0.0794207 + 0.603260i 0.984158 + 0.177291i \(0.0567334\pi\)
−0.904738 + 0.425969i \(0.859933\pi\)
\(42\) 8.60671 0.743162i 1.32804 0.114672i
\(43\) 9.63376 4.75085i 1.46913 0.724497i 0.480805 0.876827i \(-0.340344\pi\)
0.988330 + 0.152330i \(0.0486778\pi\)
\(44\) −1.01010 + 4.01607i −0.152278 + 0.605445i
\(45\) −8.90364 + 2.63534i −1.32728 + 0.392854i
\(46\) −0.126660 + 0.562770i −0.0186750 + 0.0829759i
\(47\) −9.03395 + 2.42064i −1.31774 + 0.353087i −0.848130 0.529788i \(-0.822271\pi\)
−0.469608 + 0.882875i \(0.655605\pi\)
\(48\) −4.62538 5.15809i −0.667616 0.744506i
\(49\) 5.25267 + 1.40745i 0.750382 + 0.201064i
\(50\) −3.00920 + 5.73559i −0.425565 + 0.811136i
\(51\) 12.3658 + 2.71450i 1.73155 + 0.380105i
\(52\) 1.98105 4.99901i 0.274722 0.693238i
\(53\) −0.824481 + 1.23392i −0.113251 + 0.169492i −0.883765 0.467931i \(-0.845000\pi\)
0.770514 + 0.637423i \(0.220000\pi\)
\(54\) −1.56883 + 7.17905i −0.213490 + 0.976945i
\(55\) 2.45252 5.92091i 0.330698 0.798375i
\(56\) −3.72840 9.25218i −0.498229 1.23637i
\(57\) 5.19909 + 13.2877i 0.688636 + 1.76000i
\(58\) −4.18684 1.23495i −0.549759 0.162156i
\(59\) 7.05072 + 8.03981i 0.917926 + 1.04669i 0.998751 + 0.0499658i \(0.0159112\pi\)
−0.0808248 + 0.996728i \(0.525755\pi\)
\(60\) 5.91801 + 8.94074i 0.764011 + 1.15425i
\(61\) 0.367189 + 5.60222i 0.0470137 + 0.717291i 0.954687 + 0.297613i \(0.0961903\pi\)
−0.907673 + 0.419678i \(0.862143\pi\)
\(62\) −12.6247 + 2.18431i −1.60334 + 0.277408i
\(63\) −5.64765 + 8.94683i −0.711538 + 1.12719i
\(64\) −4.13269 + 6.84988i −0.516586 + 0.856235i
\(65\) −4.16084 + 7.20679i −0.516089 + 0.893892i
\(66\) −3.17011 3.95905i −0.390213 0.487326i
\(67\) −1.26358 0.623127i −0.154370 0.0761270i 0.363463 0.931609i \(-0.381594\pi\)
−0.517833 + 0.855482i \(0.673261\pi\)
\(68\) −1.18059 14.5710i −0.143167 1.76699i
\(69\) −0.455246 0.540259i −0.0548052 0.0650396i
\(70\) 3.62108 + 15.0066i 0.432802 + 1.79363i
\(71\) −0.142043 0.342923i −0.0168575 0.0406975i 0.915227 0.402939i \(-0.132011\pi\)
−0.932084 + 0.362242i \(0.882011\pi\)
\(72\) 8.45692 0.693236i 0.996657 0.0816987i
\(73\) 0.715037 1.72625i 0.0836888 0.202043i −0.876495 0.481410i \(-0.840125\pi\)
0.960184 + 0.279368i \(0.0901248\pi\)
\(74\) 1.07336 6.82790i 0.124776 0.793728i
\(75\) −3.36745 7.18253i −0.388839 0.829368i
\(76\) 12.9153 10.2300i 1.48149 1.17346i
\(77\) −2.34728 6.91486i −0.267497 0.788022i
\(78\) 3.41012 + 5.63410i 0.386121 + 0.637936i
\(79\) 0.200263 + 0.747391i 0.0225313 + 0.0840881i 0.976276 0.216530i \(-0.0694738\pi\)
−0.953745 + 0.300618i \(0.902807\pi\)
\(80\) 7.87265 9.55515i 0.880189 1.06830i
\(81\) −5.84216 6.84611i −0.649129 0.760679i
\(82\) −1.20982 + 5.37543i −0.133602 + 0.593617i
\(83\) −9.36701 8.21465i −1.02816 0.901675i −0.0329554 0.999457i \(-0.510492\pi\)
−0.995208 + 0.0977818i \(0.968825\pi\)
\(84\) 11.7869 + 3.21322i 1.28606 + 0.350591i
\(85\) −1.47966 + 22.5752i −0.160491 + 2.44862i
\(86\) 15.1057 1.60529i 1.62889 0.173103i
\(87\) 4.30485 3.17022i 0.461529 0.339883i
\(88\) −3.30042 + 4.83792i −0.351826 + 0.515724i
\(89\) 0.00819405 0.00339409i 0.000868568 0.000359772i −0.382249 0.924059i \(-0.624850\pi\)
0.383118 + 0.923700i \(0.374850\pi\)
\(90\) −13.1043 0.846488i −1.38132 0.0892276i
\(91\) 1.84986 + 9.29989i 0.193918 + 0.974893i
\(92\) −0.442729 + 0.685198i −0.0461577 + 0.0714369i
\(93\) 7.21672 13.9338i 0.748339 1.44486i
\(94\) −13.1725 1.19507i −1.35864 0.123262i
\(95\) −22.0818 + 12.7489i −2.26554 + 1.30801i
\(96\) −3.62267 9.10364i −0.369737 0.929136i
\(97\) 6.18232 + 3.56937i 0.627720 + 0.362414i 0.779868 0.625943i \(-0.215286\pi\)
−0.152149 + 0.988358i \(0.548619\pi\)
\(98\) 6.28545 + 4.43126i 0.634927 + 0.447625i
\(99\) 6.20963 0.161300i 0.624091 0.0162113i
\(100\) −6.79301 + 6.14489i −0.679301 + 0.614489i
\(101\) −1.32676 0.450375i −0.132018 0.0448140i 0.254649 0.967034i \(-0.418040\pi\)
−0.386666 + 0.922220i \(0.626374\pi\)
\(102\) 15.0894 + 9.63704i 1.49407 + 0.954209i
\(103\) 0.438068 + 0.336142i 0.0431641 + 0.0331210i 0.630118 0.776499i \(-0.283006\pi\)
−0.586954 + 0.809620i \(0.699673\pi\)
\(104\) 5.06886 5.66886i 0.497043 0.555878i
\(105\) −17.3214 7.57869i −1.69039 0.739604i
\(106\) −1.69649 + 1.23556i −0.164777 + 0.120008i
\(107\) −12.6156 8.42948i −1.21960 0.814909i −0.232122 0.972687i \(-0.574567\pi\)
−0.987475 + 0.157778i \(0.949567\pi\)
\(108\) −5.58545 + 8.76372i −0.537460 + 0.843289i
\(109\) 3.49715 17.5814i 0.334966 1.68399i −0.335493 0.942043i \(-0.608903\pi\)
0.670459 0.741946i \(-0.266097\pi\)
\(110\) 6.14452 6.66250i 0.585857 0.635245i
\(111\) 5.86644 + 6.10274i 0.556818 + 0.579247i
\(112\) −0.434333 14.1003i −0.0410406 1.33235i
\(113\) −13.8491 3.71087i −1.30282 0.349089i −0.460303 0.887762i \(-0.652259\pi\)
−0.842515 + 0.538673i \(0.818926\pi\)
\(114\) 0.417336 + 20.1745i 0.0390871 + 1.88952i
\(115\) 0.832418 0.949191i 0.0776234 0.0885125i
\(116\) −4.95487 3.68221i −0.460048 0.341884i
\(117\) −8.02149 0.844796i −0.741587 0.0781014i
\(118\) 5.43585 + 14.1122i 0.500410 + 1.29913i
\(119\) 15.6928 + 20.4513i 1.43856 + 1.87477i
\(120\) 3.49270 + 14.7554i 0.318839 + 1.34697i
\(121\) 4.08645 5.32556i 0.371495 0.484142i
\(122\) −2.24622 + 7.61537i −0.203364 + 0.689463i
\(123\) −4.34839 5.16041i −0.392081 0.465298i
\(124\) −17.8234 3.26087i −1.60059 0.292835i
\(125\) −1.08095 + 0.722265i −0.0966828 + 0.0646014i
\(126\) −11.8621 + 9.11993i −1.05676 + 0.812468i
\(127\) 10.3366 0.917228 0.458614 0.888636i \(-0.348346\pi\)
0.458614 + 0.888636i \(0.348346\pi\)
\(128\) −8.82801 + 7.07575i −0.780293 + 0.625414i
\(129\) −9.61864 + 15.9255i −0.846874 + 1.40216i
\(130\) −9.03954 + 7.53576i −0.792820 + 0.660930i
\(131\) 7.22624 + 3.56359i 0.631359 + 0.311352i 0.729665 0.683804i \(-0.239676\pi\)
−0.0983062 + 0.995156i \(0.531342\pi\)
\(132\) −2.27606 6.80198i −0.198106 0.592036i
\(133\) −9.33888 + 27.5115i −0.809784 + 2.38555i
\(134\) −1.37317 1.44368i −0.118624 0.124715i
\(135\) 10.5286 12.1576i 0.906162 1.04636i
\(136\) 5.54289 19.9171i 0.475298 1.70788i
\(137\) 2.22033 + 2.89360i 0.189696 + 0.247217i 0.878513 0.477719i \(-0.158536\pi\)
−0.688817 + 0.724935i \(0.741870\pi\)
\(138\) −0.340658 0.939261i −0.0289987 0.0799552i
\(139\) 18.8114 + 1.23297i 1.59556 + 0.104579i 0.837068 0.547099i \(-0.184268\pi\)
0.758496 + 0.651678i \(0.225934\pi\)
\(140\) −2.51602 + 21.6862i −0.212643 + 1.83282i
\(141\) 10.9192 11.9660i 0.919565 1.00772i
\(142\) −0.0212134 0.524495i −0.00178019 0.0440147i
\(143\) 3.93645 3.93645i 0.329183 0.329183i
\(144\) 11.5637 + 3.20640i 0.963641 + 0.267200i
\(145\) 6.75543 + 6.75543i 0.561008 + 0.561008i
\(146\) 1.79145 1.94247i 0.148261 0.160760i
\(147\) −8.97700 + 2.85095i −0.740411 + 0.235142i
\(148\) 4.75644 8.53938i 0.390977 0.701933i
\(149\) 0.559216 8.53199i 0.0458128 0.698968i −0.911751 0.410744i \(-0.865269\pi\)
0.957563 0.288223i \(-0.0930645\pi\)
\(150\) −0.965099 11.1770i −0.0788000 0.912599i
\(151\) −6.57453 + 5.04481i −0.535028 + 0.410541i −0.840623 0.541620i \(-0.817811\pi\)
0.305596 + 0.952161i \(0.401144\pi\)
\(152\) 22.1351 7.27689i 1.79539 0.590234i
\(153\) −20.5744 + 7.58537i −1.66334 + 0.613241i
\(154\) 0.258427 10.3239i 0.0208246 0.831925i
\(155\) 26.5528 + 9.01347i 2.13277 + 0.723979i
\(156\) 1.77731 + 9.14249i 0.142299 + 0.731985i
\(157\) 4.07419 8.26165i 0.325156 0.659351i −0.671505 0.741000i \(-0.734352\pi\)
0.996661 + 0.0816486i \(0.0260185\pi\)
\(158\) −0.0988694 + 1.08978i −0.00786563 + 0.0866983i
\(159\) 0.0507365 2.56991i 0.00402366 0.203807i
\(160\) 15.1124 8.84171i 1.19474 0.698999i
\(161\) 1.43854i 0.113372i
\(162\) −4.41411 11.9380i −0.346805 0.937937i
\(163\) 2.29522 + 3.43504i 0.179775 + 0.269053i 0.910402 0.413724i \(-0.135772\pi\)
−0.730627 + 0.682777i \(0.760772\pi\)
\(164\) −4.22883 + 6.54483i −0.330216 + 0.511065i
\(165\) 1.95024 + 10.9276i 0.151826 + 0.850713i
\(166\) −8.42510 15.4745i −0.653914 1.20106i
\(167\) 6.57966 + 5.04875i 0.509150 + 0.390684i 0.831144 0.556057i \(-0.187687\pi\)
−0.321994 + 0.946742i \(0.604353\pi\)
\(168\) 14.0776 + 10.0166i 1.08611 + 0.772795i
\(169\) 4.57871 3.51336i 0.352208 0.270259i
\(170\) −12.9797 + 29.2435i −0.995495 + 2.24288i
\(171\) −19.9910 14.5307i −1.52875 1.11119i
\(172\) 20.8341 + 5.24007i 1.58859 + 0.399551i
\(173\) 4.54191 + 3.98315i 0.345315 + 0.302833i 0.814382 0.580329i \(-0.197076\pi\)
−0.469066 + 0.883163i \(0.655410\pi\)
\(174\) 7.26104 2.10747i 0.550458 0.159767i
\(175\) 4.18056 15.6020i 0.316020 1.17940i
\(176\) −6.74154 + 4.81124i −0.508163 + 0.362661i
\(177\) −17.7925 5.14597i −1.33737 0.386795i
\(178\) 0.0125327 0.000506887i 0.000939363 3.79928e-5i
\(179\) −0.365397 0.0726820i −0.0273111 0.00543251i 0.181416 0.983406i \(-0.441932\pi\)
−0.208727 + 0.977974i \(0.566932\pi\)
\(180\) −16.9812 7.51789i −1.26570 0.560350i
\(181\) 7.68179 11.4966i 0.570983 0.854536i −0.427799 0.903874i \(-0.640711\pi\)
0.998782 + 0.0493373i \(0.0157109\pi\)
\(182\) −2.08246 + 13.2470i −0.154362 + 0.981934i
\(183\) −5.76625 7.83003i −0.426254 0.578812i
\(184\) −0.922008 + 0.693478i −0.0679714 + 0.0511239i
\(185\) −9.20879 + 12.0011i −0.677044 + 0.882341i
\(186\) 16.3783 14.9738i 1.20091 1.09793i
\(187\) 4.86486 14.3314i 0.355754 1.04802i
\(188\) −16.9016 8.01386i −1.23268 0.584471i
\(189\) −0.114167 18.3252i −0.00830446 1.33296i
\(190\) −35.5315 + 6.14762i −2.57772 + 0.445995i
\(191\) −1.82065 + 3.15346i −0.131738 + 0.228176i −0.924346 0.381554i \(-0.875389\pi\)
0.792609 + 0.609730i \(0.208722\pi\)
\(192\) −0.366459 13.8516i −0.0264469 0.999650i
\(193\) −10.3446 17.9174i −0.744621 1.28972i −0.950372 0.311117i \(-0.899297\pi\)
0.205750 0.978605i \(-0.434037\pi\)
\(194\) 6.46453 + 7.75454i 0.464126 + 0.556743i
\(195\) −0.658614 14.3985i −0.0471643 1.03110i
\(196\) 6.18086 + 8.94891i 0.441490 + 0.639208i
\(197\) 16.5717 3.29632i 1.18069 0.234853i 0.434552 0.900647i \(-0.356907\pi\)
0.746136 + 0.665794i \(0.231907\pi\)
\(198\) 8.32116 + 2.81590i 0.591359 + 0.200117i
\(199\) −3.40906 8.23020i −0.241662 0.583424i 0.755786 0.654819i \(-0.227255\pi\)
−0.997448 + 0.0713949i \(0.977255\pi\)
\(200\) −12.0152 + 4.84185i −0.849605 + 0.342370i
\(201\) 2.42517 0.270697i 0.171058 0.0190935i
\(202\) −1.54134 1.24521i −0.108448 0.0876127i
\(203\) 10.8625 + 0.711966i 0.762398 + 0.0499702i
\(204\) 15.3267 + 20.1548i 1.07308 + 1.41112i
\(205\) 7.95103 9.06641i 0.555324 0.633226i
\(206\) 0.417456 + 0.659940i 0.0290855 + 0.0459802i
\(207\) 1.16856 + 0.363117i 0.0812206 + 0.0252384i
\(208\) 9.49437 5.05129i 0.658316 0.350244i
\(209\) 16.4761 4.41477i 1.13968 0.305376i
\(210\) −19.2938 18.5117i −1.33140 1.27743i
\(211\) −13.8592 + 4.70456i −0.954106 + 0.323875i −0.754721 0.656046i \(-0.772228\pi\)
−0.199385 + 0.979921i \(0.563894\pi\)
\(212\) −2.85475 + 0.812237i −0.196065 + 0.0557847i
\(213\) 0.527396 + 0.367657i 0.0361366 + 0.0251914i
\(214\) −12.6323 17.3448i −0.863530 1.18567i
\(215\) −30.7159 12.7229i −2.09480 0.867696i
\(216\) −11.6902 + 8.90723i −0.795419 + 0.606061i
\(217\) 29.5189 12.2271i 2.00388 0.830033i
\(218\) 13.2209 21.6305i 0.895431 1.46500i
\(219\) 0.568596 + 3.18596i 0.0384222 + 0.215288i
\(220\) 11.4070 5.84535i 0.769061 0.394093i
\(221\) −8.69190 + 17.6254i −0.584681 + 1.18562i
\(222\) 4.80907 + 10.9631i 0.322763 + 0.735796i
\(223\) −6.87159 3.96732i −0.460156 0.265671i 0.251954 0.967739i \(-0.418927\pi\)
−0.712110 + 0.702068i \(0.752260\pi\)
\(224\) 6.30377 18.9282i 0.421188 1.26469i
\(225\) 11.6187 + 7.33426i 0.774580 + 0.488951i
\(226\) −16.5722 11.6834i −1.10236 0.777169i
\(227\) 0.171234 0.0112233i 0.0113652 0.000744914i −0.0597195 0.998215i \(-0.519021\pi\)
0.0710847 + 0.997470i \(0.477354\pi\)
\(228\) −9.29027 + 26.9826i −0.615263 + 1.78697i
\(229\) −5.86677 + 5.14502i −0.387687 + 0.339993i −0.830898 0.556425i \(-0.812173\pi\)
0.443211 + 0.896418i \(0.353839\pi\)
\(230\) 1.56808 0.853743i 0.103396 0.0562942i
\(231\) 9.88050 + 7.89626i 0.650089 + 0.519536i
\(232\) −4.78019 7.30538i −0.313835 0.479622i
\(233\) 3.23803 + 1.34124i 0.212130 + 0.0878672i 0.486218 0.873837i \(-0.338376\pi\)
−0.274088 + 0.961705i \(0.588376\pi\)
\(234\) −10.2352 5.03546i −0.669099 0.329179i
\(235\) 24.0693 + 16.0826i 1.57011 + 1.04911i
\(236\) 0.329276 + 21.3845i 0.0214340 + 1.39201i
\(237\) −0.989966 0.903362i −0.0643052 0.0586797i
\(238\) 10.8509 + 34.8038i 0.703358 + 2.25599i
\(239\) 4.28592 15.9953i 0.277233 1.03465i −0.677097 0.735894i \(-0.736762\pi\)
0.954330 0.298754i \(-0.0965711\pi\)
\(240\) −2.56382 + 21.2900i −0.165494 + 1.37427i
\(241\) −0.0210541 0.0785751i −0.00135622 0.00506147i 0.965244 0.261349i \(-0.0841673\pi\)
−0.966601 + 0.256287i \(0.917501\pi\)
\(242\) 8.02283 5.07498i 0.515727 0.326232i
\(243\) 14.9148 + 4.53292i 0.956788 + 0.290787i
\(244\) −6.69750 + 9.01233i −0.428764 + 0.576956i
\(245\) −7.44431 15.0956i −0.475600 0.964421i
\(246\) −3.25387 8.97156i −0.207459 0.572006i
\(247\) −21.9593 + 2.89100i −1.39724 + 0.183950i
\(248\) −22.0671 13.0254i −1.40126 0.827112i
\(249\) 21.3349 + 3.23841i 1.35204 + 0.205226i
\(250\) −1.78724 + 0.431260i −0.113035 + 0.0272753i
\(251\) −10.8426 + 2.15673i −0.684380 + 0.136132i −0.525021 0.851089i \(-0.675943\pi\)
−0.159359 + 0.987221i \(0.550943\pi\)
\(252\) −20.1955 + 6.31733i −1.27220 + 0.397954i
\(253\) −0.702236 + 0.469219i −0.0441492 + 0.0294996i
\(254\) 13.7205 + 5.04379i 0.860901 + 0.316475i
\(255\) −18.9190 34.3156i −1.18475 2.14892i
\(256\) −15.1706 + 5.08446i −0.948165 + 0.317779i
\(257\) −1.99045 3.44757i −0.124161 0.215053i 0.797244 0.603658i \(-0.206291\pi\)
−0.921405 + 0.388604i \(0.872957\pi\)
\(258\) −20.5383 + 16.4455i −1.27866 + 1.02385i
\(259\) 1.12732 + 17.1996i 0.0700482 + 1.06873i
\(260\) −15.6759 + 5.59185i −0.972177 + 0.346792i
\(261\) −3.32027 + 8.64418i −0.205520 + 0.535062i
\(262\) 7.85300 + 8.25625i 0.485160 + 0.510073i
\(263\) −22.4227 2.95200i −1.38264 0.182028i −0.597760 0.801675i \(-0.703943\pi\)
−0.784881 + 0.619647i \(0.787276\pi\)
\(264\) 0.297877 10.1393i 0.0183330 0.624032i
\(265\) 4.55400 0.599545i 0.279750 0.0368298i
\(266\) −25.8204 + 31.9608i −1.58315 + 1.95965i
\(267\) −0.00878505 + 0.0126020i −0.000537636 + 0.000771228i
\(268\) −1.11825 2.58634i −0.0683082 0.157986i
\(269\) 11.5675 + 2.30092i 0.705285 + 0.140290i 0.534686 0.845051i \(-0.320430\pi\)
0.170599 + 0.985341i \(0.445430\pi\)
\(270\) 19.9077 11.0001i 1.21154 0.669444i
\(271\) 4.08090 4.08090i 0.247897 0.247897i −0.572210 0.820107i \(-0.693914\pi\)
0.820107 + 0.572210i \(0.193914\pi\)
\(272\) 17.0761 23.7326i 1.03539 1.43900i
\(273\) −11.3816 11.8401i −0.688849 0.716596i
\(274\) 1.53526 + 4.92428i 0.0927484 + 0.297487i
\(275\) −8.97991 + 3.04827i −0.541509 + 0.183817i
\(276\) 0.00613698 1.41297i 0.000369402 0.0850507i
\(277\) −0.323381 + 0.159474i −0.0194301 + 0.00958185i −0.451978 0.892029i \(-0.649281\pi\)
0.432548 + 0.901611i \(0.357615\pi\)
\(278\) 24.3680 + 10.8157i 1.46150 + 0.648682i
\(279\) 2.48123 + 27.0654i 0.148547 + 1.62036i
\(280\) −13.9215 + 27.5578i −0.831970 + 1.64690i
\(281\) −1.81932 + 13.8191i −0.108532 + 0.824380i 0.847434 + 0.530901i \(0.178146\pi\)
−0.955966 + 0.293479i \(0.905187\pi\)
\(282\) 20.3327 10.5553i 1.21079 0.628556i
\(283\) 11.3094 9.91811i 0.672276 0.589571i −0.253640 0.967299i \(-0.581628\pi\)
0.925917 + 0.377728i \(0.123295\pi\)
\(284\) 0.227771 0.706549i 0.0135157 0.0419260i
\(285\) 20.3110 39.2158i 1.20312 2.32294i
\(286\) 7.14592 3.30431i 0.422547 0.195388i
\(287\) 13.7405i 0.811076i
\(288\) 13.7847 + 9.89860i 0.812271 + 0.583281i
\(289\) 36.4269i 2.14276i
\(290\) 5.67060 + 12.2633i 0.332989 + 0.720124i
\(291\) −12.3517 + 0.564990i −0.724071 + 0.0331203i
\(292\) 3.32574 1.70422i 0.194624 0.0997321i
\(293\) 14.5438 12.7546i 0.849661 0.745132i −0.119165 0.992874i \(-0.538022\pi\)
0.968826 + 0.247742i \(0.0796885\pi\)
\(294\) −13.3069 0.596102i −0.776074 0.0347654i
\(295\) 4.32016 32.8149i 0.251530 1.91056i
\(296\) 10.4804 9.01397i 0.609158 0.523926i
\(297\) −8.90839 + 6.03301i −0.516917 + 0.350071i
\(298\) 4.90549 11.0522i 0.284168 0.640237i
\(299\) 0.983571 0.485044i 0.0568814 0.0280508i
\(300\) 4.17281 15.3069i 0.240918 0.883745i
\(301\) −35.8722 + 12.1770i −2.06764 + 0.701868i
\(302\) −11.1884 + 3.48826i −0.643823 + 0.200727i
\(303\) 2.35606 0.581713i 0.135352 0.0334185i
\(304\) 32.9321 + 1.14177i 1.88879 + 0.0654851i
\(305\) 12.2873 12.2873i 0.703571 0.703571i
\(306\) −31.0110 + 0.0292545i −1.77278 + 0.00167237i
\(307\) −16.4240 3.26694i −0.937367 0.186454i −0.297310 0.954781i \(-0.596089\pi\)
−0.640057 + 0.768327i \(0.721089\pi\)
\(308\) 5.38061 13.5775i 0.306589 0.773651i
\(309\) −0.952923 0.0813763i −0.0542099 0.00462933i
\(310\) 30.8472 + 24.9207i 1.75200 + 1.41540i
\(311\) 25.1768 3.31459i 1.42765 0.187953i 0.623239 0.782032i \(-0.285817\pi\)
0.804407 + 0.594079i \(0.202483\pi\)
\(312\) −2.10196 + 13.0027i −0.119000 + 0.736132i
\(313\) −9.84051 1.29553i −0.556219 0.0732276i −0.152824 0.988253i \(-0.548837\pi\)
−0.403395 + 0.915026i \(0.632170\pi\)
\(314\) 9.43924 8.97822i 0.532687 0.506670i
\(315\) 32.3454 5.11605i 1.82246 0.288257i
\(316\) −0.662998 + 1.39829i −0.0372965 + 0.0786602i
\(317\) −0.795952 12.1439i −0.0447051 0.682068i −0.960126 0.279569i \(-0.909808\pi\)
0.915420 0.402499i \(-0.131858\pi\)
\(318\) 1.32134 3.38646i 0.0740971 0.189903i
\(319\) −3.19556 5.53487i −0.178917 0.309893i
\(320\) 24.3740 4.36207i 1.36255 0.243847i
\(321\) 26.2747 + 0.518729i 1.46651 + 0.0289526i
\(322\) 0.701938 1.90946i 0.0391175 0.106410i
\(323\) −50.0665 + 33.4534i −2.78577 + 1.86139i
\(324\) −0.0339608 18.0000i −0.00188671 0.999998i
\(325\) 12.0772 2.40230i 0.669922 0.133256i
\(326\) 1.37046 + 5.67951i 0.0759028 + 0.314559i
\(327\) 11.3132 + 28.9139i 0.625621 + 1.59894i
\(328\) −8.80677 + 6.62392i −0.486273 + 0.365745i
\(329\) 32.7022 4.30533i 1.80293 0.237361i
\(330\) −2.74348 + 15.4566i −0.151023 + 0.850856i
\(331\) −2.52654 5.12332i −0.138871 0.281603i 0.816316 0.577606i \(-0.196013\pi\)
−0.955187 + 0.296003i \(0.904346\pi\)
\(332\) −3.63236 24.6514i −0.199352 1.35292i
\(333\) −14.2562 3.42578i −0.781236 0.187732i
\(334\) 6.27007 + 9.91211i 0.343083 + 0.542367i
\(335\) 1.12862 + 4.21208i 0.0616632 + 0.230130i
\(336\) 13.7986 + 20.1649i 0.752773 + 1.10008i
\(337\) 0.917550 3.42434i 0.0499822 0.186536i −0.936421 0.350878i \(-0.885883\pi\)
0.986403 + 0.164342i \(0.0525500\pi\)
\(338\) 7.79198 2.42933i 0.423828 0.132138i
\(339\) 23.6687 7.51678i 1.28551 0.408255i
\(340\) −31.4982 + 32.4834i −1.70823 + 1.76166i
\(341\) −15.5972 10.4217i −0.844638 0.564369i
\(342\) −19.4450 29.0422i −1.05147 1.57042i
\(343\) 5.08956 + 2.10816i 0.274810 + 0.113830i
\(344\) 25.0976 + 17.1216i 1.35317 + 0.923133i
\(345\) −0.328159 + 2.16193i −0.0176675 + 0.116395i
\(346\) 4.08519 + 7.50334i 0.219621 + 0.403382i
\(347\) −16.1856 + 14.1944i −0.868886 + 0.761993i −0.972568 0.232618i \(-0.925271\pi\)
0.103682 + 0.994610i \(0.466938\pi\)
\(348\) 10.6664 + 0.745653i 0.571779 + 0.0399712i
\(349\) 1.39126 0.0911878i 0.0744723 0.00488117i −0.0281214 0.999605i \(-0.508953\pi\)
0.102594 + 0.994723i \(0.467286\pi\)
\(350\) 13.1622 18.6697i 0.703549 0.997939i
\(351\) 12.4910 6.25692i 0.666720 0.333970i
\(352\) −11.2962 + 3.09672i −0.602087 + 0.165056i
\(353\) 5.70864 + 3.29588i 0.303840 + 0.175422i 0.644167 0.764885i \(-0.277204\pi\)
−0.340327 + 0.940307i \(0.610538\pi\)
\(354\) −21.1062 15.5125i −1.12178 0.824480i
\(355\) −0.508124 + 1.03037i −0.0269684 + 0.0546865i
\(356\) 0.0168828 + 0.00544252i 0.000894785 + 0.000288453i
\(357\) −41.9883 15.1838i −2.22226 0.803613i
\(358\) −0.449551 0.274772i −0.0237595 0.0145222i
\(359\) 6.81975 2.82483i 0.359933 0.149089i −0.195386 0.980726i \(-0.562596\pi\)
0.555319 + 0.831637i \(0.312596\pi\)
\(360\) −18.8719 18.2650i −0.994635 0.962650i
\(361\) −45.1448 18.6996i −2.37604 0.984188i
\(362\) 15.8064 11.5119i 0.830764 0.605050i
\(363\) −0.989285 + 11.5846i −0.0519240 + 0.608034i
\(364\) −9.22811 + 16.5675i −0.483684 + 0.868373i
\(365\) −5.47632 + 1.85896i −0.286644 + 0.0973025i
\(366\) −3.83325 13.2070i −0.200367 0.690340i
\(367\) −22.7175 + 6.08715i −1.18585 + 0.317746i −0.797243 0.603659i \(-0.793709\pi\)
−0.388603 + 0.921405i \(0.627042\pi\)
\(368\) −1.56223 + 0.470603i −0.0814368 + 0.0245319i
\(369\) 11.1618 + 3.46839i 0.581059 + 0.180557i
\(370\) −18.0794 + 11.4364i −0.939905 + 0.594552i
\(371\) 3.45088 3.93497i 0.179161 0.204294i
\(372\) 29.0465 11.8839i 1.50599 0.616152i
\(373\) 29.2061 + 1.91427i 1.51223 + 0.0991170i 0.798796 0.601602i \(-0.205471\pi\)
0.713437 + 0.700719i \(0.247137\pi\)
\(374\) 13.4505 16.6492i 0.695509 0.860910i
\(375\) 0.902599 2.06292i 0.0466100 0.106529i
\(376\) −18.5243 18.8845i −0.955317 0.973896i
\(377\) 3.17581 + 7.66709i 0.163563 + 0.394875i
\(378\) 8.79028 24.3799i 0.452123 1.25397i
\(379\) −34.7388 + 6.90997i −1.78441 + 0.354941i −0.973226 0.229850i \(-0.926176\pi\)
−0.811184 + 0.584791i \(0.801176\pi\)
\(380\) −50.1630 9.17753i −2.57331 0.470797i
\(381\) −15.0797 + 9.65092i −0.772557 + 0.494431i
\(382\) −3.95541 + 3.29740i −0.202376 + 0.168710i
\(383\) −8.45656 14.6472i −0.432110 0.748437i 0.564945 0.825129i \(-0.308897\pi\)
−0.997055 + 0.0766921i \(0.975564\pi\)
\(384\) 6.27248 18.5649i 0.320091 0.947387i
\(385\) −11.3010 + 19.5739i −0.575953 + 0.997581i
\(386\) −4.98825 28.8306i −0.253895 1.46744i
\(387\) −0.836775 32.2136i −0.0425357 1.63751i
\(388\) 4.79695 + 13.4475i 0.243528 + 0.682693i
\(389\) −0.924293 + 2.72288i −0.0468635 + 0.138055i −0.967843 0.251557i \(-0.919058\pi\)
0.920979 + 0.389612i \(0.127391\pi\)
\(390\) 6.15158 19.4335i 0.311497 0.984053i
\(391\) 1.81498 2.36533i 0.0917877 0.119620i
\(392\) 3.83762 + 14.8945i 0.193829 + 0.752283i
\(393\) −13.8693 + 1.54809i −0.699612 + 0.0780906i
\(394\) 23.6052 + 3.71080i 1.18921 + 0.186947i
\(395\) 1.33053 1.99128i 0.0669463 0.100192i
\(396\) 9.67120 + 7.79807i 0.485996 + 0.391868i
\(397\) 28.9041 + 5.74938i 1.45065 + 0.288553i 0.856646 0.515905i \(-0.172544\pi\)
0.594009 + 0.804458i \(0.297544\pi\)
\(398\) −0.509123 12.5880i −0.0255201 0.630977i
\(399\) −12.0623 48.8547i −0.603868 2.44580i
\(400\) −18.3112 + 0.564041i −0.915561 + 0.0282021i
\(401\) −2.09631 + 7.82355i −0.104685 + 0.390689i −0.998309 0.0581264i \(-0.981487\pi\)
0.893624 + 0.448816i \(0.148154\pi\)
\(402\) 3.35118 + 0.824054i 0.167142 + 0.0411001i
\(403\) 18.3132 + 16.0603i 0.912248 + 0.800020i
\(404\) −1.43832 2.40495i −0.0715590 0.119651i
\(405\) −4.00876 + 27.5664i −0.199197 + 1.36979i
\(406\) 14.0711 + 6.24543i 0.698338 + 0.309955i
\(407\) 8.02844 6.16044i 0.397955 0.305361i
\(408\) 10.5096 + 34.2315i 0.520300 + 1.69471i
\(409\) 1.06321 + 0.815833i 0.0525726 + 0.0403403i 0.634713 0.772748i \(-0.281118\pi\)
−0.582141 + 0.813088i \(0.697785\pi\)
\(410\) 14.9779 8.15472i 0.739706 0.402733i
\(411\) −5.94080 2.14831i −0.293038 0.105968i
\(412\) 0.232097 + 1.07968i 0.0114346 + 0.0531920i
\(413\) −20.9524 31.3575i −1.03100 1.54300i
\(414\) 1.37392 + 1.05219i 0.0675247 + 0.0517124i
\(415\) 38.5619i 1.89293i
\(416\) 15.0673 2.07211i 0.738736 0.101594i
\(417\) −28.5944 + 15.7648i −1.40028 + 0.772005i
\(418\) 24.0241 + 2.17956i 1.17506 + 0.106606i
\(419\) −11.0774 + 22.4628i −0.541168 + 1.09738i 0.438867 + 0.898552i \(0.355380\pi\)
−0.980035 + 0.198827i \(0.936287\pi\)
\(420\) −16.5771 33.9863i −0.808877 1.65836i
\(421\) −5.55561 1.88588i −0.270764 0.0919119i 0.182755 0.983158i \(-0.441498\pi\)
−0.453519 + 0.891246i \(0.649832\pi\)
\(422\) −20.6918 0.517954i −1.00726 0.0252136i
\(423\) −4.75740 + 27.6516i −0.231313 + 1.34447i
\(424\) −4.18564 0.314849i −0.203273 0.0152904i
\(425\) 26.5589 20.3793i 1.28829 0.988543i
\(426\) 0.520649 + 0.745360i 0.0252255 + 0.0361128i
\(427\) 1.29498 19.7576i 0.0626686 0.956138i
\(428\) −8.30430 29.1869i −0.401403 1.41080i
\(429\) −2.06742 + 9.41805i −0.0998161 + 0.454708i
\(430\) −34.5630 31.8759i −1.66678 1.53719i
\(431\) 7.34540 + 7.34540i 0.353815 + 0.353815i 0.861527 0.507712i \(-0.169508\pi\)
−0.507712 + 0.861527i \(0.669508\pi\)
\(432\) −19.8635 + 6.11889i −0.955684 + 0.294395i
\(433\) 7.13331 7.13331i 0.342805 0.342805i −0.514616 0.857421i \(-0.672065\pi\)
0.857421 + 0.514616i \(0.172065\pi\)
\(434\) 45.1487 1.82605i 2.16721 0.0876534i
\(435\) −16.1625 3.54795i −0.774934 0.170111i
\(436\) 28.1036 22.2604i 1.34592 1.06608i
\(437\) 3.35302 + 0.219768i 0.160397 + 0.0105129i
\(438\) −0.799865 + 4.50639i −0.0382190 + 0.215324i
\(439\) −4.96836 6.47490i −0.237127 0.309030i 0.659598 0.751619i \(-0.270727\pi\)
−0.896725 + 0.442589i \(0.854060\pi\)
\(440\) 17.9935 2.19283i 0.857809 0.104539i
\(441\) 10.4344 12.5406i 0.496875 0.597172i
\(442\) −20.1377 + 19.1542i −0.957854 + 0.911071i
\(443\) 4.77909 14.0787i 0.227061 0.668901i −0.772370 0.635173i \(-0.780929\pi\)
0.999431 0.0337278i \(-0.0107379\pi\)
\(444\) 1.03391 + 16.8987i 0.0490671 + 0.801976i
\(445\) −0.0246205 0.0121415i −0.00116712 0.000575561i
\(446\) −7.18526 8.61910i −0.340232 0.408126i
\(447\) 7.15017 + 12.9691i 0.338192 + 0.613417i
\(448\) 17.6035 22.0487i 0.831687 1.04171i
\(449\) 33.0277 1.55868 0.779338 0.626604i \(-0.215556\pi\)
0.779338 + 0.626604i \(0.215556\pi\)
\(450\) 11.8435 + 15.4046i 0.558308 + 0.726181i
\(451\) −6.70757 + 4.48185i −0.315847 + 0.211042i
\(452\) −16.2964 23.5946i −0.766517 1.10980i
\(453\) 4.88118 13.4981i 0.229338 0.634195i
\(454\) 0.232766 + 0.0686567i 0.0109243 + 0.00322222i
\(455\) 17.8662 23.2837i 0.837582 1.09156i
\(456\) −25.4978 + 31.2826i −1.19405 + 1.46494i
\(457\) 12.6018 + 16.4230i 0.589488 + 0.768235i 0.988907 0.148533i \(-0.0474551\pi\)
−0.399420 + 0.916768i \(0.630788\pi\)
\(458\) −10.2979 + 3.96662i −0.481189 + 0.185348i
\(459\) 22.9330 30.2755i 1.07042 1.41314i
\(460\) 2.49801 0.368079i 0.116470 0.0171618i
\(461\) 6.26836 7.14770i 0.291947 0.332902i −0.587210 0.809435i \(-0.699774\pi\)
0.879156 + 0.476533i \(0.158107\pi\)
\(462\) 9.26204 + 15.3024i 0.430909 + 0.711934i
\(463\) −29.6374 7.94132i −1.37737 0.369065i −0.507203 0.861826i \(-0.669321\pi\)
−0.870164 + 0.492762i \(0.835987\pi\)
\(464\) −2.78038 12.0294i −0.129076 0.558452i
\(465\) −47.1524 + 11.6420i −2.18664 + 0.539883i
\(466\) 3.64359 + 3.36032i 0.168786 + 0.155664i
\(467\) −5.80662 + 29.1919i −0.268698 + 1.35084i 0.576811 + 0.816877i \(0.304297\pi\)
−0.845510 + 0.533960i \(0.820703\pi\)
\(468\) −11.1288 11.6782i −0.514431 0.539826i
\(469\) 4.13135 + 2.76048i 0.190768 + 0.127467i
\(470\) 24.1012 + 33.0921i 1.11171 + 1.52643i
\(471\) 1.76990 + 15.8565i 0.0815528 + 0.730630i
\(472\) −9.99756 + 28.5457i −0.460175 + 1.31392i
\(473\) 17.6450 + 13.5395i 0.811320 + 0.622547i
\(474\) −0.873250 1.68215i −0.0401097 0.0772637i
\(475\) 35.7274 + 12.1278i 1.63929 + 0.556463i
\(476\) −2.57950 + 51.4921i −0.118231 + 2.36014i
\(477\) 2.32541 + 3.79651i 0.106473 + 0.173830i
\(478\) 13.4939 19.1403i 0.617198 0.875455i
\(479\) −8.80784 5.08521i −0.402441 0.232349i 0.285096 0.958499i \(-0.407975\pi\)
−0.687537 + 0.726150i \(0.741308\pi\)
\(480\) −13.7917 + 27.0087i −0.629500 + 1.23277i
\(481\) −11.3798 + 6.57011i −0.518872 + 0.299571i
\(482\) 0.0103944 0.114571i 0.000473452 0.00521858i
\(483\) 1.34311 + 2.09862i 0.0611134 + 0.0954907i
\(484\) 13.1256 2.82159i 0.596618 0.128254i
\(485\) −4.31061 21.6709i −0.195735 0.984025i
\(486\) 17.5856 + 13.2946i 0.797700 + 0.603055i
\(487\) −13.2782 + 5.50001i −0.601693 + 0.249229i −0.662672 0.748910i \(-0.730578\pi\)
0.0609794 + 0.998139i \(0.480578\pi\)
\(488\) −13.2876 + 8.69460i −0.601503 + 0.393586i
\(489\) −6.55557 2.86828i −0.296453 0.129708i
\(490\) −2.51540 23.6698i −0.113634 1.06929i
\(491\) 1.85078 28.2374i 0.0835245 1.27434i −0.726182 0.687503i \(-0.758707\pi\)
0.809706 0.586835i \(-0.199626\pi\)
\(492\) 0.0586187 13.4963i 0.00264274 0.608460i
\(493\) 16.9626 + 14.8758i 0.763955 + 0.669971i
\(494\) −30.5587 6.87769i −1.37490 0.309442i
\(495\) −13.0478 14.1210i −0.586456 0.634692i
\(496\) −22.9353 28.0571i −1.02983 1.25980i
\(497\) 0.338807 + 1.26445i 0.0151976 + 0.0567181i
\(498\) 26.7390 + 14.7090i 1.19820 + 0.659125i
\(499\) 4.56594 + 13.4508i 0.204399 + 0.602141i 0.999993 0.00368913i \(-0.00117429\pi\)
−0.795594 + 0.605830i \(0.792841\pi\)
\(500\) −2.58276 0.299651i −0.115505 0.0134008i
\(501\) −14.3126 1.22225i −0.639442 0.0546061i
\(502\) −15.4445 2.42791i −0.689322 0.108363i
\(503\) −5.31218 + 12.8247i −0.236859 + 0.571827i −0.996955 0.0779835i \(-0.975152\pi\)
0.760096 + 0.649811i \(0.225152\pi\)
\(504\) −29.8894 1.46904i −1.33138 0.0654364i
\(505\) 1.65958 + 4.00657i 0.0738502 + 0.178290i
\(506\) −1.16108 + 0.280168i −0.0516164 + 0.0124550i
\(507\) −3.39940 + 9.40047i −0.150973 + 0.417490i
\(508\) 15.7510 + 13.3899i 0.698838 + 0.594081i
\(509\) −39.1581 19.3106i −1.73565 0.855929i −0.979476 0.201560i \(-0.935399\pi\)
−0.756176 0.654369i \(-0.772934\pi\)
\(510\) −8.36804 54.7809i −0.370543 2.42574i
\(511\) −3.29483 + 5.70682i −0.145755 + 0.252455i
\(512\) −22.6180 0.653611i −0.999583 0.0288858i
\(513\) 42.7308 + 2.53347i 1.88661 + 0.111856i
\(514\) −0.959812 5.54743i −0.0423355 0.244687i
\(515\) −0.111778 1.70540i −0.00492552 0.0751489i
\(516\) −35.2866 + 11.8075i −1.55340 + 0.519796i
\(517\) −12.7685 14.5596i −0.561556 0.640332i
\(518\) −6.89621 + 23.3802i −0.303002 + 1.02727i
\(519\) −10.3449 1.57025i −0.454092 0.0689265i
\(520\) −23.5362 0.226659i −1.03213 0.00993966i
\(521\) 2.92525 7.06218i 0.128158 0.309400i −0.846757 0.531980i \(-0.821448\pi\)
0.974914 + 0.222581i \(0.0714480\pi\)
\(522\) −8.62518 + 9.85386i −0.377514 + 0.431292i
\(523\) 21.0120 31.4468i 0.918793 1.37507i −0.00819002 0.999966i \(-0.502607\pi\)
0.926983 0.375104i \(-0.122393\pi\)
\(524\) 6.39516 + 14.7910i 0.279374 + 0.646146i
\(525\) 8.46818 + 26.6644i 0.369582 + 1.16373i
\(526\) −28.3227 14.8596i −1.23493 0.647909i
\(527\) 63.9638 + 17.1391i 2.78631 + 0.746589i
\(528\) 5.34291 13.3133i 0.232520 0.579385i
\(529\) 22.0556 5.90978i 0.958939 0.256947i
\(530\) 6.33737 + 1.42632i 0.275278 + 0.0619554i
\(531\) 30.7614 9.10491i 1.33493 0.395119i
\(532\) −49.8685 + 29.8246i −2.16208 + 1.29306i
\(533\) 9.39481 4.63301i 0.406934 0.200678i
\(534\) −0.0178102 + 0.0124407i −0.000770721 + 0.000538364i
\(535\) 6.12973 + 46.5600i 0.265012 + 2.01296i
\(536\) −0.222320 3.97867i −0.00960277 0.171853i
\(537\) 0.600924 0.235124i 0.0259318 0.0101464i
\(538\) 14.2316 + 8.69858i 0.613568 + 0.375022i
\(539\) 2.19666 + 11.0434i 0.0946169 + 0.475671i
\(540\) 31.7923 4.88713i 1.36812 0.210309i
\(541\) −14.2970 21.3969i −0.614674 0.919925i 0.385322 0.922782i \(-0.374091\pi\)
−0.999996 + 0.00285713i \(0.999091\pi\)
\(542\) 7.40814 3.42557i 0.318207 0.147141i
\(543\) −0.472718 + 23.9442i −0.0202863 + 1.02754i
\(544\) 34.2466 23.1696i 1.46831 0.993389i
\(545\) −48.0498 + 27.7416i −2.05823 + 1.18832i
\(546\) −9.33020 21.2699i −0.399296 0.910266i
\(547\) −18.0449 + 1.18272i −0.771543 + 0.0505696i −0.446089 0.894988i \(-0.647184\pi\)
−0.325454 + 0.945558i \(0.605517\pi\)
\(548\) −0.364965 + 7.28546i −0.0155905 + 0.311219i
\(549\) 15.7228 + 6.03919i 0.671031 + 0.257746i
\(550\) −13.4070 0.335603i −0.571678 0.0143101i
\(551\) −3.31898 + 25.2102i −0.141393 + 1.07399i
\(552\) 0.697608 1.87253i 0.0296922 0.0797003i
\(553\) −0.356186 2.70550i −0.0151466 0.115050i
\(554\) −0.507060 + 0.0538855i −0.0215429 + 0.00228938i
\(555\) 2.22935 26.1059i 0.0946307 1.10813i
\(556\) 27.0678 + 26.2468i 1.14793 + 1.11311i
\(557\) −5.59537 + 28.1298i −0.237084 + 1.19190i 0.660421 + 0.750895i \(0.270378\pi\)
−0.897505 + 0.441004i \(0.854622\pi\)
\(558\) −9.91314 + 37.1364i −0.419657 + 1.57211i
\(559\) −20.4211 20.4211i −0.863721 0.863721i
\(560\) −31.9259 + 29.7863i −1.34912 + 1.25870i
\(561\) 6.28354 + 25.4497i 0.265291 + 1.07449i
\(562\) −9.15799 + 17.4553i −0.386306 + 0.736307i
\(563\) 1.08974 + 3.21027i 0.0459270 + 0.135297i 0.967474 0.252970i \(-0.0814073\pi\)
−0.921547 + 0.388266i \(0.873074\pi\)
\(564\) 32.1394 4.08930i 1.35331 0.172191i
\(565\) 19.6276 + 39.8008i 0.825739 + 1.67443i
\(566\) 19.8513 7.64650i 0.834414 0.321406i
\(567\) 17.2761 + 26.6273i 0.725527 + 1.11824i
\(568\) 0.647098 0.826708i 0.0271516 0.0346879i
\(569\) 25.1005 + 3.30455i 1.05227 + 0.138534i 0.636766 0.771057i \(-0.280272\pi\)
0.415504 + 0.909591i \(0.363605\pi\)
\(570\) 46.0957 42.1429i 1.93073 1.76517i
\(571\) −20.0952 22.9142i −0.840957 0.958927i 0.158640 0.987337i \(-0.449289\pi\)
−0.999596 + 0.0284091i \(0.990956\pi\)
\(572\) 11.0976 0.899162i 0.464014 0.0375959i
\(573\) −0.288188 6.30033i −0.0120392 0.263200i
\(574\) 6.70472 18.2387i 0.279850 0.761268i
\(575\) −1.86814 −0.0779067
\(576\) 13.4673 + 19.8654i 0.561137 + 0.827723i
\(577\) −6.33431 −0.263701 −0.131850 0.991270i \(-0.542092\pi\)
−0.131850 + 0.991270i \(0.542092\pi\)
\(578\) −17.7746 + 48.3518i −0.739326 + 2.01117i
\(579\) 31.8201 + 16.4806i 1.32240 + 0.684911i
\(580\) 1.54307 + 19.0448i 0.0640726 + 0.790794i
\(581\) 28.9710 + 33.0351i 1.20192 + 1.37053i
\(582\) −16.6710 5.27711i −0.691034 0.218743i
\(583\) −3.04650 0.401079i −0.126173 0.0166110i
\(584\) 5.24605 0.639325i 0.217083 0.0264554i
\(585\) 14.4042 + 20.3905i 0.595540 + 0.843045i
\(586\) 25.5287 9.83334i 1.05458 0.406211i
\(587\) 14.3786 + 29.1569i 0.593468 + 1.20343i 0.961803 + 0.273741i \(0.0882612\pi\)
−0.368335 + 0.929693i \(0.620072\pi\)
\(588\) −17.3723 7.28439i −0.716420 0.300403i
\(589\) 23.9900 + 70.6723i 0.988492 + 2.91200i
\(590\) 21.7466 41.4494i 0.895292 1.70644i
\(591\) −21.0982 + 20.2813i −0.867865 + 0.834260i
\(592\) 18.3097 6.85092i 0.752523 0.281571i
\(593\) −14.5904 14.5904i −0.599157 0.599157i 0.340931 0.940088i \(-0.389258\pi\)
−0.940088 + 0.340931i \(0.889258\pi\)
\(594\) −14.7685 + 3.66114i −0.605960 + 0.150218i
\(595\) 15.5658 78.2548i 0.638137 3.20813i
\(596\) 11.9043 12.2767i 0.487621 0.502872i
\(597\) 12.6576 + 8.82381i 0.518040 + 0.361135i
\(598\) 1.54224 0.163894i 0.0630668 0.00670214i
\(599\) 0.744465 + 5.65478i 0.0304180 + 0.231048i 0.999900 0.0141132i \(-0.00449251\pi\)
−0.969482 + 0.245161i \(0.921159\pi\)
\(600\) 13.0079 18.2817i 0.531046 0.746349i
\(601\) −2.52986 + 19.2162i −0.103195 + 0.783844i 0.859095 + 0.511817i \(0.171027\pi\)
−0.962290 + 0.272027i \(0.912306\pi\)
\(602\) −53.5573 1.34064i −2.18283 0.0546403i
\(603\) −3.28525 + 2.65920i −0.133786 + 0.108291i
\(604\) −16.5533 0.829237i −0.673543 0.0337412i
\(605\) −20.7324 + 1.35887i −0.842893 + 0.0552461i
\(606\) 3.41120 + 0.377500i 0.138571 + 0.0153349i
\(607\) −15.8808 + 9.16879i −0.644582 + 0.372150i −0.786377 0.617746i \(-0.788046\pi\)
0.141795 + 0.989896i \(0.454712\pi\)
\(608\) 43.1559 + 17.5849i 1.75020 + 0.713161i
\(609\) −16.5116 + 9.10324i −0.669085 + 0.368882i
\(610\) 22.3055 10.3142i 0.903122 0.417608i
\(611\) 13.9702 + 20.9079i 0.565173 + 0.845842i
\(612\) −41.1773 15.0931i −1.66449 0.610102i
\(613\) 5.11393 + 25.7095i 0.206550 + 1.03840i 0.935365 + 0.353685i \(0.115072\pi\)
−0.728815 + 0.684711i \(0.759928\pi\)
\(614\) −20.2066 12.3506i −0.815470 0.498428i
\(615\) −3.13449 + 20.6502i −0.126395 + 0.832697i
\(616\) 13.7672 15.3969i 0.554698 0.620357i
\(617\) 0.256074 + 1.94507i 0.0103091 + 0.0783057i 0.995826 0.0912715i \(-0.0290931\pi\)
−0.985517 + 0.169577i \(0.945760\pi\)
\(618\) −1.22517 0.572998i −0.0492836 0.0230493i
\(619\) −2.30153 + 1.13499i −0.0925065 + 0.0456191i −0.487953 0.872870i \(-0.662256\pi\)
0.395447 + 0.918489i \(0.370590\pi\)
\(620\) 28.7854 + 48.1309i 1.15605 + 1.93298i
\(621\) −2.04380 + 0.561304i −0.0820147 + 0.0225243i
\(622\) 35.0362 + 7.88542i 1.40482 + 0.316176i
\(623\) −0.0302136 + 0.00809570i −0.00121048 + 0.000324347i
\(624\) −9.13477 + 16.2337i −0.365684 + 0.649867i
\(625\) 26.0063 + 6.96837i 1.04025 + 0.278735i
\(626\) −12.4298 6.52135i −0.496795 0.260646i
\(627\) −19.9145 + 21.8237i −0.795308 + 0.871554i
\(628\) 16.9103 7.31148i 0.674794 0.291760i
\(629\) −19.8469 + 29.7030i −0.791347 + 1.18433i
\(630\) 45.4306 + 8.99216i 1.81000 + 0.358256i
\(631\) −8.36937 + 20.2055i −0.333179 + 0.804366i 0.665157 + 0.746704i \(0.268365\pi\)
−0.998336 + 0.0576626i \(0.981635\pi\)
\(632\) −1.56234 + 1.53254i −0.0621467 + 0.0609611i
\(633\) 15.8262 19.8031i 0.629033 0.787102i
\(634\) 4.86912 16.5078i 0.193378 0.655607i
\(635\) −21.0948 24.0540i −0.837120 0.954552i
\(636\) 3.40633 3.85032i 0.135070 0.152675i
\(637\) −0.956234 14.5893i −0.0378874 0.578050i
\(638\) −1.54092 8.90609i −0.0610057 0.352595i
\(639\) −1.11266 0.0439507i −0.0440163 0.00173866i
\(640\) 34.4817 + 6.10328i 1.36301 + 0.241253i
\(641\) 15.3421 26.5733i 0.605976 1.04958i −0.385921 0.922532i \(-0.626116\pi\)
0.991896 0.127049i \(-0.0405505\pi\)
\(642\) 34.6230 + 13.5094i 1.36646 + 0.533172i
\(643\) −30.8497 15.2134i −1.21659 0.599958i −0.283287 0.959035i \(-0.591425\pi\)
−0.933308 + 0.359077i \(0.883092\pi\)
\(644\) 1.86346 2.19205i 0.0734305 0.0863787i
\(645\) 56.6891 10.1172i 2.23213 0.398366i
\(646\) −82.7803 + 19.9748i −3.25695 + 0.785897i
\(647\) 3.51297 + 8.48106i 0.138109 + 0.333425i 0.977768 0.209689i \(-0.0672451\pi\)
−0.839659 + 0.543114i \(0.817245\pi\)
\(648\) 8.73806 23.9091i 0.343263 0.939239i
\(649\) −8.47327 + 20.4563i −0.332605 + 0.802979i
\(650\) 17.2031 + 2.70436i 0.674760 + 0.106074i
\(651\) −31.6480 + 45.3984i −1.24038 + 1.77930i
\(652\) −0.952231 + 8.20752i −0.0372923 + 0.321431i
\(653\) −10.6429 31.3529i −0.416487 1.22693i −0.929587 0.368603i \(-0.879836\pi\)
0.513100 0.858329i \(-0.328497\pi\)
\(654\) 0.908120 + 43.8997i 0.0355103 + 1.71661i
\(655\) −6.45446 24.0884i −0.252197 0.941210i
\(656\) −14.9220 + 4.49507i −0.582605 + 0.175503i
\(657\) −3.80412 4.11700i −0.148413 0.160620i
\(658\) 45.5086 + 10.2424i 1.77411 + 0.399290i
\(659\) −16.2491 14.2501i −0.632975 0.555104i 0.281594 0.959534i \(-0.409137\pi\)
−0.914569 + 0.404430i \(0.867470\pi\)
\(660\) −11.1837 + 19.1778i −0.435324 + 0.746497i
\(661\) −0.730838 + 11.1504i −0.0284263 + 0.433702i 0.959798 + 0.280691i \(0.0905636\pi\)
−0.988225 + 0.153011i \(0.951103\pi\)
\(662\) −0.853708 8.03335i −0.0331803 0.312225i
\(663\) −3.77592 33.8284i −0.146644 1.31378i
\(664\) 7.20725 34.4939i 0.279695 1.33862i
\(665\) 83.0793 34.4126i 3.22168 1.33446i
\(666\) −17.2516 11.5036i −0.668486 0.445757i
\(667\) −0.245622 1.23483i −0.00951053 0.0478127i
\(668\) 3.48604 + 16.2165i 0.134879 + 0.627435i
\(669\) 13.7288 0.627981i 0.530787 0.0242792i
\(670\) −0.557199 + 6.14169i −0.0215265 + 0.237274i
\(671\) −10.0673 + 5.81235i −0.388643 + 0.224383i
\(672\) 8.47623 + 33.4992i 0.326978 + 1.29226i
\(673\) −34.3846 19.8520i −1.32543 0.765238i −0.340841 0.940121i \(-0.610712\pi\)
−0.984589 + 0.174883i \(0.944045\pi\)
\(674\) 2.88884 4.09764i 0.111274 0.157835i
\(675\) −23.7978 + 0.148262i −0.915977 + 0.00570662i
\(676\) 11.5282 + 0.577506i 0.443393 + 0.0222118i
\(677\) −9.11394 3.09377i −0.350277 0.118903i 0.140755 0.990044i \(-0.455047\pi\)
−0.491032 + 0.871141i \(0.663380\pi\)
\(678\) 35.0848 + 1.57168i 1.34742 + 0.0603599i
\(679\) −19.9739 15.3265i −0.766527 0.588177i
\(680\) −57.6601 + 27.7478i −2.21116 + 1.06408i
\(681\) −0.239328 + 0.176248i −0.00917105 + 0.00675382i
\(682\) −15.6179 21.4442i −0.598042 0.821141i
\(683\) −12.5723 8.40057i −0.481067 0.321439i 0.291282 0.956637i \(-0.405918\pi\)
−0.772349 + 0.635198i \(0.780918\pi\)
\(684\) −11.6395 48.0379i −0.445046 1.83677i
\(685\) 2.20236 11.0720i 0.0841480 0.423041i
\(686\) 5.72702 + 5.28177i 0.218659 + 0.201659i
\(687\) 3.75510 12.9835i 0.143266 0.495350i
\(688\) 24.9592 + 34.9731i 0.951562 + 1.33334i
\(689\) 3.85403 + 1.03268i 0.146827 + 0.0393421i
\(690\) −1.49051 + 2.70955i −0.0567427 + 0.103151i
\(691\) −13.0316 + 14.8597i −0.495747 + 0.565291i −0.944562 0.328334i \(-0.893513\pi\)
0.448815 + 0.893625i \(0.351846\pi\)
\(692\) 1.76127 + 11.9531i 0.0669536 + 0.454387i
\(693\) −21.7867 2.29450i −0.827609 0.0871609i
\(694\) −28.4103 + 10.9433i −1.07844 + 0.415403i
\(695\) −35.5207 46.2915i −1.34738 1.75594i
\(696\) 13.7944 + 6.19446i 0.522875 + 0.234800i
\(697\) 17.3362 22.5930i 0.656657 0.855772i
\(698\) 1.89120 + 0.557828i 0.0715831 + 0.0211141i
\(699\) −5.97609 + 1.06655i −0.226037 + 0.0403405i
\(700\) 26.5810 18.3590i 1.00467 0.693906i
\(701\) 6.50195 4.34446i 0.245575 0.164088i −0.426691 0.904397i \(-0.640321\pi\)
0.672267 + 0.740309i \(0.265321\pi\)
\(702\) 19.6332 2.21021i 0.741008 0.0834190i
\(703\) −40.2619 −1.51851
\(704\) −16.5052 1.40150i −0.622063 0.0528212i
\(705\) −50.1294 0.989680i −1.88798 0.0372735i
\(706\) 5.96922 + 7.16039i 0.224655 + 0.269485i
\(707\) 4.43181 + 2.18553i 0.166675 + 0.0821951i
\(708\) −20.4463 30.8896i −0.768417 1.16090i
\(709\) 5.29802 15.6075i 0.198971 0.586150i −0.800950 0.598732i \(-0.795672\pi\)
0.999921 + 0.0125813i \(0.00400487\pi\)
\(710\) −1.17724 + 1.11974i −0.0441810 + 0.0420232i
\(711\) 2.28766 + 0.393586i 0.0857939 + 0.0147606i
\(712\) 0.0197539 + 0.0154622i 0.000740310 + 0.000579471i
\(713\) −2.24959 2.93173i −0.0842479 0.109794i
\(714\) −48.3249 40.6428i −1.80851 1.52102i
\(715\) −17.1938 1.12694i −0.643011 0.0421452i
\(716\) −0.462643 0.584083i −0.0172898 0.0218282i
\(717\) 8.68161 + 27.3365i 0.324221 + 1.02090i
\(718\) 10.4307 0.421872i 0.389270 0.0157441i
\(719\) 22.5843 22.5843i 0.842251 0.842251i −0.146901 0.989151i \(-0.546930\pi\)
0.989151 + 0.146901i \(0.0469297\pi\)
\(720\) −16.1374 33.4529i −0.601407 1.24672i
\(721\) −1.37700 1.37700i −0.0512823 0.0512823i
\(722\) −50.7991 46.8497i −1.89055 1.74357i
\(723\) 0.104078 + 0.0949727i 0.00387069 + 0.00353207i
\(724\) 26.5981 7.56771i 0.988510 0.281252i
\(725\) 0.924587 14.1065i 0.0343383 0.523901i
\(726\) −6.96589 + 14.8943i −0.258528 + 0.552779i
\(727\) 34.3279 26.3407i 1.27315 0.976924i 0.273264 0.961939i \(-0.411897\pi\)
0.999888 0.0149848i \(-0.00476998\pi\)
\(728\) −20.3332 + 17.4883i −0.753600 + 0.648158i
\(729\) −25.9909 + 7.31252i −0.962626 + 0.270834i
\(730\) −8.17617 0.204665i −0.302614 0.00757497i
\(731\) −74.3469 25.2374i −2.74982 0.933438i
\(732\) 1.35626 19.4009i 0.0501287 0.717080i
\(733\) −0.874971 + 1.77427i −0.0323178 + 0.0655340i −0.912433 0.409226i \(-0.865799\pi\)
0.880115 + 0.474760i \(0.157465\pi\)
\(734\) −33.1247 3.00521i −1.22266 0.110924i
\(735\) 24.9544 + 15.0719i 0.920456 + 0.555935i
\(736\) −2.30328 0.137631i −0.0849001 0.00507313i
\(737\) 2.91717i 0.107455i
\(738\) 13.1234 + 10.0502i 0.483077 + 0.369955i
\(739\) −3.50331 5.24308i −0.128871 0.192870i 0.761423 0.648256i \(-0.224501\pi\)
−0.890294 + 0.455386i \(0.849501\pi\)
\(740\) −29.5785 + 6.35845i −1.08733 + 0.233741i
\(741\) 29.3364 24.7201i 1.07770 0.908117i
\(742\) 6.50066 3.53929i 0.238647 0.129931i
\(743\) −6.90469 5.29816i −0.253309 0.194371i 0.474300 0.880364i \(-0.342701\pi\)
−0.727608 + 0.685993i \(0.759368\pi\)
\(744\) 44.3541 1.60099i 1.62610 0.0586951i
\(745\) −20.9957 + 16.1105i −0.769222 + 0.590245i
\(746\) 37.8331 + 16.7921i 1.38517 + 0.614803i
\(747\) −34.1482 + 15.1952i −1.24942 + 0.555962i
\(748\) 25.9778 15.5364i 0.949841 0.568067i
\(749\) 40.2311 + 35.2817i 1.47001 + 1.28917i
\(750\) 2.20469 2.29783i 0.0805039 0.0839049i
\(751\) 1.57187 5.86631i 0.0573585 0.214065i −0.931298 0.364258i \(-0.881323\pi\)
0.988657 + 0.150193i \(0.0479894\pi\)
\(752\) −15.3737 34.1057i −0.560623 1.24371i
\(753\) 13.8042 13.2697i 0.503054 0.483575i
\(754\) 0.474289 + 11.7267i 0.0172726 + 0.427061i
\(755\) 25.1567 + 5.00398i 0.915547 + 0.182114i
\(756\) 23.5642 28.0719i 0.857021 1.02096i
\(757\) −29.5039 + 44.1557i −1.07234 + 1.60487i −0.318354 + 0.947972i \(0.603130\pi\)
−0.753983 + 0.656894i \(0.771870\pi\)
\(758\) −49.4828 7.77881i −1.79730 0.282539i
\(759\) 0.586373 1.34018i 0.0212840 0.0486453i
\(760\) −62.1065 36.6591i −2.25284 1.32977i
\(761\) −28.8269 + 37.5679i −1.04497 + 1.36184i −0.115351 + 0.993325i \(0.536799\pi\)
−0.929623 + 0.368512i \(0.879867\pi\)
\(762\) −24.7255 + 5.45212i −0.895710 + 0.197509i
\(763\) −20.3213 + 59.8648i −0.735682 + 2.16725i
\(764\) −6.85925 + 2.44681i −0.248159 + 0.0885225i
\(765\) 59.6393 + 32.3977i 2.15626 + 1.17134i
\(766\) −4.07782 23.5686i −0.147338 0.851568i
\(767\) 14.3754 24.8989i 0.519065 0.899047i
\(768\) 17.3847 21.5818i 0.627316 0.778765i
\(769\) −5.13390 8.89218i −0.185133 0.320660i 0.758488 0.651687i \(-0.225938\pi\)
−0.943621 + 0.331027i \(0.892605\pi\)
\(770\) −24.5518 + 20.4674i −0.884784 + 0.737595i
\(771\) 6.12266 + 3.17111i 0.220502 + 0.114205i
\(772\) 7.44675 40.7028i 0.268014 1.46493i