Properties

Label 570.2.n.a.179.1
Level $570$
Weight $2$
Character 570.179
Analytic conductor $4.551$
Analytic rank $0$
Dimension $80$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.n (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(80\)
Relative dimension: \(40\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 179.1
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.69438 - 0.359253i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.161263 - 2.23025i) q^{5} +(1.28775 + 1.15831i) q^{6} +1.18214i q^{7} -1.00000i q^{8} +(2.74187 + 1.21743i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.69438 - 0.359253i) q^{3} +(0.500000 + 0.866025i) q^{4} +(-0.161263 - 2.23025i) q^{5} +(1.28775 + 1.15831i) q^{6} +1.18214i q^{7} -1.00000i q^{8} +(2.74187 + 1.21743i) q^{9} +(-0.975465 + 2.01208i) q^{10} +4.89120i q^{11} +(-0.536070 - 1.64701i) q^{12} +(-0.622803 - 1.07873i) q^{13} +(0.591070 - 1.02376i) q^{14} +(-0.527981 + 3.83683i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(0.318854 - 0.552271i) q^{17} +(-1.76582 - 2.42526i) q^{18} +(4.35888 + 0.0120744i) q^{19} +(1.85082 - 1.25478i) q^{20} +(0.424687 - 2.00300i) q^{21} +(2.44560 - 4.23590i) q^{22} +(0.859976 + 1.48952i) q^{23} +(-0.359253 + 1.69438i) q^{24} +(-4.94799 + 0.719314i) q^{25} +1.24561i q^{26} +(-4.20842 - 3.04781i) q^{27} +(-1.02376 + 0.591070i) q^{28} +(1.94156 + 3.36289i) q^{29} +(2.37566 - 3.05880i) q^{30} -6.45549i q^{31} +(0.866025 - 0.500000i) q^{32} +(1.75718 - 8.28757i) q^{33} +(-0.552271 + 0.318854i) q^{34} +(2.63646 - 0.190636i) q^{35} +(0.316615 + 2.98325i) q^{36} +9.66844 q^{37} +(-3.76887 - 2.18990i) q^{38} +(0.667731 + 2.05152i) q^{39} +(-2.23025 + 0.161263i) q^{40} +(6.08673 - 10.5425i) q^{41} +(-1.36929 + 1.52230i) q^{42} +(9.32139 + 5.38171i) q^{43} +(-4.23590 + 2.44560i) q^{44} +(2.27299 - 6.31138i) q^{45} -1.71995i q^{46} +(0.0980180 + 0.169772i) q^{47} +(1.15831 - 1.28775i) q^{48} +5.60255 q^{49} +(4.64474 + 1.85105i) q^{50} +(-0.738666 + 0.821210i) q^{51} +(0.622803 - 1.07873i) q^{52} +(-1.57394 + 0.908716i) q^{53} +(2.12069 + 4.74370i) q^{54} +(10.9086 - 0.788771i) q^{55} +1.18214 q^{56} +(-7.38128 - 1.58640i) q^{57} -3.88313i q^{58} +(-1.25875 + 2.18022i) q^{59} +(-3.58678 + 1.46117i) q^{60} +(-5.71356 - 9.89618i) q^{61} +(-3.22774 + 5.59061i) q^{62} +(-1.43917 + 3.24128i) q^{63} -1.00000 q^{64} +(-2.30539 + 1.56296i) q^{65} +(-5.66554 + 6.29865i) q^{66} +(2.67262 + 4.62912i) q^{67} +0.637707 q^{68} +(-0.922014 - 2.83277i) q^{69} +(-2.37856 - 1.15313i) q^{70} +(2.99286 - 5.18379i) q^{71} +(1.21743 - 2.74187i) q^{72} +(-8.20341 - 4.73624i) q^{73} +(-8.37312 - 4.83422i) q^{74} +(8.64221 + 0.558787i) q^{75} +(2.16898 + 3.78094i) q^{76} -5.78208 q^{77} +(0.447488 - 2.11053i) q^{78} +(6.74355 + 3.89339i) q^{79} +(2.01208 + 0.975465i) q^{80} +(6.03575 + 6.67606i) q^{81} +(-10.5425 + 6.08673i) q^{82} +8.21126 q^{83} +(1.94699 - 0.633709i) q^{84} +(-1.28312 - 0.622061i) q^{85} +(-5.38171 - 9.32139i) q^{86} +(-2.08163 - 6.39553i) q^{87} +4.89120 q^{88} +(2.46445 + 4.26855i) q^{89} +(-5.12416 + 4.32932i) q^{90} +(1.27520 - 0.736240i) q^{91} +(-0.859976 + 1.48952i) q^{92} +(-2.31915 + 10.9381i) q^{93} -0.196036i q^{94} +(-0.675999 - 9.72332i) q^{95} +(-1.64701 + 0.536070i) q^{96} +(-0.141542 + 0.245159i) q^{97} +(-4.85195 - 2.80127i) q^{98} +(-5.95467 + 13.4110i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 80q + 40q^{4} + O(q^{10}) \) \( 80q + 40q^{4} + 30q^{15} - 40q^{16} + 8q^{19} + 8q^{25} - 4q^{30} + 48q^{39} + 12q^{45} - 128q^{49} - 36q^{54} + 12q^{55} + 30q^{60} - 24q^{61} - 80q^{64} + 4q^{66} + 36q^{70} + 16q^{76} + 24q^{79} + 32q^{81} - 8q^{85} - 54q^{90} + 24q^{91} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(-1\) \(e\left(\frac{1}{6}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 0.500000i −0.612372 0.353553i
\(3\) −1.69438 0.359253i −0.978253 0.207415i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) −0.161263 2.23025i −0.0721192 0.997396i
\(6\) 1.28775 + 1.15831i 0.525723 + 0.472880i
\(7\) 1.18214i 0.446807i 0.974726 + 0.223403i \(0.0717167\pi\)
−0.974726 + 0.223403i \(0.928283\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 2.74187 + 1.21743i 0.913958 + 0.405809i
\(10\) −0.975465 + 2.01208i −0.308469 + 0.636276i
\(11\) 4.89120i 1.47475i 0.675483 + 0.737376i \(0.263935\pi\)
−0.675483 + 0.737376i \(0.736065\pi\)
\(12\) −0.536070 1.64701i −0.154750 0.475450i
\(13\) −0.622803 1.07873i −0.172734 0.299185i 0.766640 0.642077i \(-0.221927\pi\)
−0.939375 + 0.342892i \(0.888594\pi\)
\(14\) 0.591070 1.02376i 0.157970 0.273612i
\(15\) −0.527981 + 3.83683i −0.136324 + 0.990664i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) 0.318854 0.552271i 0.0773334 0.133945i −0.824765 0.565475i \(-0.808693\pi\)
0.902099 + 0.431530i \(0.142026\pi\)
\(18\) −1.76582 2.42526i −0.416208 0.571639i
\(19\) 4.35888 + 0.0120744i 0.999996 + 0.00277005i
\(20\) 1.85082 1.25478i 0.413855 0.280578i
\(21\) 0.424687 2.00300i 0.0926744 0.437090i
\(22\) 2.44560 4.23590i 0.521403 0.903097i
\(23\) 0.859976 + 1.48952i 0.179317 + 0.310587i 0.941647 0.336602i \(-0.109278\pi\)
−0.762329 + 0.647189i \(0.775944\pi\)
\(24\) −0.359253 + 1.69438i −0.0733323 + 0.345865i
\(25\) −4.94799 + 0.719314i −0.989598 + 0.143863i
\(26\) 1.24561i 0.244283i
\(27\) −4.20842 3.04781i −0.809912 0.586552i
\(28\) −1.02376 + 0.591070i −0.193473 + 0.111702i
\(29\) 1.94156 + 3.36289i 0.360539 + 0.624472i 0.988050 0.154136i \(-0.0492594\pi\)
−0.627511 + 0.778608i \(0.715926\pi\)
\(30\) 2.37566 3.05880i 0.433734 0.558458i
\(31\) 6.45549i 1.15944i −0.814816 0.579720i \(-0.803162\pi\)
0.814816 0.579720i \(-0.196838\pi\)
\(32\) 0.866025 0.500000i 0.153093 0.0883883i
\(33\) 1.75718 8.28757i 0.305886 1.44268i
\(34\) −0.552271 + 0.318854i −0.0947137 + 0.0546830i
\(35\) 2.63646 0.190636i 0.445643 0.0322233i
\(36\) 0.316615 + 2.98325i 0.0527692 + 0.497208i
\(37\) 9.66844 1.58948 0.794741 0.606949i \(-0.207607\pi\)
0.794741 + 0.606949i \(0.207607\pi\)
\(38\) −3.76887 2.18990i −0.611391 0.355248i
\(39\) 0.667731 + 2.05152i 0.106923 + 0.328506i
\(40\) −2.23025 + 0.161263i −0.352633 + 0.0254980i
\(41\) 6.08673 10.5425i 0.950588 1.64647i 0.206432 0.978461i \(-0.433815\pi\)
0.744156 0.668006i \(-0.232852\pi\)
\(42\) −1.36929 + 1.52230i −0.211286 + 0.234896i
\(43\) 9.32139 + 5.38171i 1.42150 + 0.820703i 0.996427 0.0844573i \(-0.0269157\pi\)
0.425071 + 0.905160i \(0.360249\pi\)
\(44\) −4.23590 + 2.44560i −0.638586 + 0.368688i
\(45\) 2.27299 6.31138i 0.338838 0.940845i
\(46\) 1.71995i 0.253593i
\(47\) 0.0980180 + 0.169772i 0.0142974 + 0.0247638i 0.873086 0.487567i \(-0.162116\pi\)
−0.858788 + 0.512331i \(0.828782\pi\)
\(48\) 1.15831 1.28775i 0.167188 0.185871i
\(49\) 5.60255 0.800364
\(50\) 4.64474 + 1.85105i 0.656865 + 0.261778i
\(51\) −0.738666 + 0.821210i −0.103434 + 0.114992i
\(52\) 0.622803 1.07873i 0.0863672 0.149592i
\(53\) −1.57394 + 0.908716i −0.216198 + 0.124822i −0.604188 0.796841i \(-0.706503\pi\)
0.387991 + 0.921663i \(0.373169\pi\)
\(54\) 2.12069 + 4.74370i 0.288590 + 0.645535i
\(55\) 10.9086 0.788771i 1.47091 0.106358i
\(56\) 1.18214 0.157970
\(57\) −7.38128 1.58640i −0.977675 0.210124i
\(58\) 3.88313i 0.509879i
\(59\) −1.25875 + 2.18022i −0.163876 + 0.283841i −0.936255 0.351320i \(-0.885733\pi\)
0.772380 + 0.635161i \(0.219066\pi\)
\(60\) −3.58678 + 1.46117i −0.463051 + 0.188636i
\(61\) −5.71356 9.89618i −0.731547 1.26708i −0.956222 0.292642i \(-0.905466\pi\)
0.224675 0.974434i \(-0.427868\pi\)
\(62\) −3.22774 + 5.59061i −0.409924 + 0.710009i
\(63\) −1.43917 + 3.24128i −0.181318 + 0.408363i
\(64\) −1.00000 −0.125000
\(65\) −2.30539 + 1.56296i −0.285948 + 0.193862i
\(66\) −5.66554 + 6.29865i −0.697380 + 0.775311i
\(67\) 2.67262 + 4.62912i 0.326513 + 0.565537i 0.981817 0.189828i \(-0.0607931\pi\)
−0.655305 + 0.755365i \(0.727460\pi\)
\(68\) 0.637707 0.0773334
\(69\) −0.922014 2.83277i −0.110997 0.341026i
\(70\) −2.37856 1.15313i −0.284292 0.137826i
\(71\) 2.99286 5.18379i 0.355188 0.615203i −0.631962 0.774999i \(-0.717750\pi\)
0.987150 + 0.159796i \(0.0510837\pi\)
\(72\) 1.21743 2.74187i 0.143475 0.323133i
\(73\) −8.20341 4.73624i −0.960136 0.554335i −0.0639213 0.997955i \(-0.520361\pi\)
−0.896215 + 0.443620i \(0.853694\pi\)
\(74\) −8.37312 4.83422i −0.973355 0.561967i
\(75\) 8.64221 + 0.558787i 0.997916 + 0.0645232i
\(76\) 2.16898 + 3.78094i 0.248800 + 0.433704i
\(77\) −5.78208 −0.658929
\(78\) 0.447488 2.11053i 0.0506680 0.238971i
\(79\) 6.74355 + 3.89339i 0.758708 + 0.438040i 0.828832 0.559498i \(-0.189006\pi\)
−0.0701234 + 0.997538i \(0.522339\pi\)
\(80\) 2.01208 + 0.975465i 0.224957 + 0.109060i
\(81\) 6.03575 + 6.67606i 0.670639 + 0.741784i
\(82\) −10.5425 + 6.08673i −1.16423 + 0.672167i
\(83\) 8.21126 0.901303 0.450652 0.892700i \(-0.351192\pi\)
0.450652 + 0.892700i \(0.351192\pi\)
\(84\) 1.94699 0.633709i 0.212434 0.0691433i
\(85\) −1.28312 0.622061i −0.139174 0.0674720i
\(86\) −5.38171 9.32139i −0.580324 1.00515i
\(87\) −2.08163 6.39553i −0.223174 0.685673i
\(88\) 4.89120 0.521403
\(89\) 2.46445 + 4.26855i 0.261231 + 0.452465i 0.966569 0.256406i \(-0.0825383\pi\)
−0.705338 + 0.708871i \(0.749205\pi\)
\(90\) −5.12416 + 4.32932i −0.540134 + 0.456350i
\(91\) 1.27520 0.736240i 0.133678 0.0771789i
\(92\) −0.859976 + 1.48952i −0.0896587 + 0.155294i
\(93\) −2.31915 + 10.9381i −0.240485 + 1.13423i
\(94\) 0.196036i 0.0202196i
\(95\) −0.675999 9.72332i −0.0693560 0.997592i
\(96\) −1.64701 + 0.536070i −0.168097 + 0.0547124i
\(97\) −0.141542 + 0.245159i −0.0143715 + 0.0248921i −0.873122 0.487502i \(-0.837908\pi\)
0.858750 + 0.512394i \(0.171241\pi\)
\(98\) −4.85195 2.80127i −0.490121 0.282971i
\(99\) −5.95467 + 13.4110i −0.598467 + 1.34786i
\(100\) −3.09694 3.92543i −0.309694 0.392543i
\(101\) −14.0883 + 8.13386i −1.40183 + 0.809349i −0.994581 0.103966i \(-0.966847\pi\)
−0.407254 + 0.913315i \(0.633513\pi\)
\(102\) 1.05031 0.341856i 0.103996 0.0338487i
\(103\) −4.88946 −0.481772 −0.240886 0.970553i \(-0.577438\pi\)
−0.240886 + 0.970553i \(0.577438\pi\)
\(104\) −1.07873 + 0.622803i −0.105778 + 0.0610708i
\(105\) −4.53566 0.624147i −0.442635 0.0609105i
\(106\) 1.81743 0.176525
\(107\) 4.22366i 0.408317i 0.978938 + 0.204158i \(0.0654458\pi\)
−0.978938 + 0.204158i \(0.934554\pi\)
\(108\) 0.535272 5.16851i 0.0515066 0.497340i
\(109\) 6.04292 + 3.48888i 0.578807 + 0.334174i 0.760659 0.649151i \(-0.224876\pi\)
−0.181852 + 0.983326i \(0.558209\pi\)
\(110\) −9.84148 4.77119i −0.938349 0.454915i
\(111\) −16.3821 3.47342i −1.55492 0.329682i
\(112\) −1.02376 0.591070i −0.0967365 0.0558508i
\(113\) 2.46652i 0.232031i 0.993247 + 0.116016i \(0.0370122\pi\)
−0.993247 + 0.116016i \(0.962988\pi\)
\(114\) 5.59918 + 5.06450i 0.524411 + 0.474334i
\(115\) 3.18332 2.15816i 0.296846 0.201250i
\(116\) −1.94156 + 3.36289i −0.180270 + 0.312236i
\(117\) −0.394378 3.71595i −0.0364603 0.343540i
\(118\) 2.18022 1.25875i 0.200706 0.115878i
\(119\) 0.652861 + 0.376930i 0.0598477 + 0.0345531i
\(120\) 3.83683 + 0.527981i 0.350253 + 0.0481978i
\(121\) −12.9238 −1.17489
\(122\) 11.4271i 1.03456i
\(123\) −14.1007 + 15.6764i −1.27142 + 1.41349i
\(124\) 5.59061 3.22774i 0.502052 0.289860i
\(125\) 2.40217 + 10.9192i 0.214857 + 0.976646i
\(126\) 2.86699 2.08744i 0.255412 0.185964i
\(127\) −3.48711 6.03986i −0.309431 0.535951i 0.668807 0.743436i \(-0.266805\pi\)
−0.978238 + 0.207485i \(0.933472\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) −13.8606 12.4674i −1.22036 1.09769i
\(130\) 2.77801 0.200871i 0.243647 0.0176175i
\(131\) 12.2589 + 7.07770i 1.07107 + 0.618382i 0.928473 0.371399i \(-0.121122\pi\)
0.142596 + 0.989781i \(0.454455\pi\)
\(132\) 8.05583 2.62202i 0.701170 0.228218i
\(133\) −0.0142736 + 5.15281i −0.00123768 + 0.446805i
\(134\) 5.34524i 0.461759i
\(135\) −6.11871 + 9.87732i −0.526615 + 0.850104i
\(136\) −0.552271 0.318854i −0.0473568 0.0273415i
\(137\) 6.51986 + 11.2927i 0.557029 + 0.964803i 0.997743 + 0.0671547i \(0.0213921\pi\)
−0.440714 + 0.897648i \(0.645275\pi\)
\(138\) −0.617899 + 2.91426i −0.0525990 + 0.248078i
\(139\) 11.0177 + 19.0832i 0.934507 + 1.61861i 0.775511 + 0.631334i \(0.217492\pi\)
0.158995 + 0.987279i \(0.449175\pi\)
\(140\) 1.48333 + 2.18792i 0.125364 + 0.184913i
\(141\) −0.105089 0.322872i −0.00885008 0.0271908i
\(142\) −5.18379 + 2.99286i −0.435014 + 0.251156i
\(143\) 5.27626 3.04625i 0.441223 0.254740i
\(144\) −2.42526 + 1.76582i −0.202105 + 0.147152i
\(145\) 7.18696 4.87247i 0.596844 0.404637i
\(146\) 4.73624 + 8.20341i 0.391974 + 0.678919i
\(147\) −9.49287 2.01273i −0.782958 0.166007i
\(148\) 4.83422 + 8.37312i 0.397371 + 0.688266i
\(149\) −4.59319 2.65188i −0.376289 0.217251i 0.299913 0.953966i \(-0.403042\pi\)
−0.676203 + 0.736716i \(0.736376\pi\)
\(150\) −7.20498 4.80503i −0.588284 0.392329i
\(151\) 19.6711i 1.60081i −0.599460 0.800405i \(-0.704618\pi\)
0.599460 0.800405i \(-0.295382\pi\)
\(152\) 0.0120744 4.35888i 0.000979359 0.353552i
\(153\) 1.54661 1.12608i 0.125036 0.0910379i
\(154\) 5.00743 + 2.89104i 0.403510 + 0.232966i
\(155\) −14.3973 + 1.04103i −1.15642 + 0.0836178i
\(156\) −1.44280 + 1.60403i −0.115517 + 0.128425i
\(157\) −12.6818 7.32182i −1.01211 0.584345i −0.100304 0.994957i \(-0.531982\pi\)
−0.911810 + 0.410612i \(0.865315\pi\)
\(158\) −3.89339 6.74355i −0.309741 0.536488i
\(159\) 2.99332 0.974270i 0.237386 0.0772647i
\(160\) −1.25478 1.85082i −0.0991991 0.146320i
\(161\) −1.76082 + 1.01661i −0.138772 + 0.0801202i
\(162\) −1.88908 8.79951i −0.148420 0.691355i
\(163\) 10.9889i 0.860718i 0.902658 + 0.430359i \(0.141613\pi\)
−0.902658 + 0.430359i \(0.858387\pi\)
\(164\) 12.1735 0.950588
\(165\) −18.7667 2.58246i −1.46098 0.201044i
\(166\) −7.11116 4.10563i −0.551933 0.318659i
\(167\) −13.1964 + 7.61896i −1.02117 + 0.589573i −0.914443 0.404715i \(-0.867371\pi\)
−0.106728 + 0.994288i \(0.534037\pi\)
\(168\) −2.00300 0.424687i −0.154535 0.0327653i
\(169\) 5.72423 9.91466i 0.440326 0.762666i
\(170\) 0.800183 + 1.18028i 0.0613712 + 0.0905234i
\(171\) 11.9368 + 5.33972i 0.912830 + 0.408339i
\(172\) 10.7634i 0.820703i
\(173\) 20.3554 + 11.7522i 1.54759 + 0.893501i 0.998325 + 0.0578530i \(0.0184255\pi\)
0.549265 + 0.835648i \(0.314908\pi\)
\(174\) −1.39503 + 6.57951i −0.105757 + 0.498791i
\(175\) −0.850329 5.84921i −0.0642788 0.442159i
\(176\) −4.23590 2.44560i −0.319293 0.184344i
\(177\) 2.91606 3.24193i 0.219185 0.243678i
\(178\) 4.92889i 0.369436i
\(179\) −7.26697 −0.543159 −0.271579 0.962416i \(-0.587546\pi\)
−0.271579 + 0.962416i \(0.587546\pi\)
\(180\) 6.60231 1.18722i 0.492107 0.0884900i
\(181\) −6.11788 + 3.53216i −0.454738 + 0.262543i −0.709829 0.704374i \(-0.751228\pi\)
0.255091 + 0.966917i \(0.417895\pi\)
\(182\) −1.47248 −0.109147
\(183\) 6.12573 + 18.8205i 0.452827 + 1.39125i
\(184\) 1.48952 0.859976i 0.109809 0.0633983i
\(185\) −1.55917 21.5630i −0.114632 1.58534i
\(186\) 7.47748 8.31307i 0.548276 0.609544i
\(187\) 2.70127 + 1.55958i 0.197536 + 0.114048i
\(188\) −0.0980180 + 0.169772i −0.00714870 + 0.0123819i
\(189\) 3.60294 4.97494i 0.262075 0.361874i
\(190\) −4.27623 + 8.75864i −0.310230 + 0.635419i
\(191\) 7.51033i 0.543429i −0.962378 0.271714i \(-0.912409\pi\)
0.962378 0.271714i \(-0.0875906\pi\)
\(192\) 1.69438 + 0.359253i 0.122282 + 0.0259269i
\(193\) 5.20366 9.01300i 0.374568 0.648770i −0.615695 0.787985i \(-0.711125\pi\)
0.990262 + 0.139215i \(0.0444579\pi\)
\(194\) 0.245159 0.141542i 0.0176014 0.0101622i
\(195\) 4.46771 1.82004i 0.319940 0.130336i
\(196\) 2.80127 + 4.85195i 0.200091 + 0.346568i
\(197\) 20.8294 1.48403 0.742017 0.670381i \(-0.233869\pi\)
0.742017 + 0.670381i \(0.233869\pi\)
\(198\) 11.8624 8.63697i 0.843026 0.613803i
\(199\) 5.37464 + 9.30915i 0.380998 + 0.659908i 0.991205 0.132334i \(-0.0422470\pi\)
−0.610207 + 0.792242i \(0.708914\pi\)
\(200\) 0.719314 + 4.94799i 0.0508632 + 0.349876i
\(201\) −2.86542 8.80365i −0.202111 0.620962i
\(202\) 16.2677 1.14459
\(203\) −3.97540 + 2.29520i −0.279018 + 0.161091i
\(204\) −1.08052 0.229098i −0.0756516 0.0160401i
\(205\) −24.4940 11.8748i −1.71073 0.829371i
\(206\) 4.23439 + 2.44473i 0.295024 + 0.170332i
\(207\) 0.544564 + 5.13104i 0.0378498 + 0.356632i
\(208\) 1.24561 0.0863672
\(209\) −0.0590580 + 21.3202i −0.00408513 + 1.47475i
\(210\) 3.61593 + 2.80836i 0.249523 + 0.193795i
\(211\) −3.29761 1.90388i −0.227017 0.131068i 0.382178 0.924089i \(-0.375174\pi\)
−0.609195 + 0.793020i \(0.708507\pi\)
\(212\) −1.57394 0.908716i −0.108099 0.0624109i
\(213\) −6.93335 + 7.70814i −0.475066 + 0.528153i
\(214\) 2.11183 3.65780i 0.144362 0.250042i
\(215\) 10.4993 21.6569i 0.716048 1.47699i
\(216\) −3.04781 + 4.20842i −0.207377 + 0.286347i
\(217\) 7.63128 0.518045
\(218\) −3.48888 6.04292i −0.236297 0.409278i
\(219\) 12.1982 + 10.9721i 0.824279 + 0.741426i
\(220\) 6.13738 + 9.05271i 0.413782 + 0.610334i
\(221\) −0.794332 −0.0534326
\(222\) 12.4506 + 11.1991i 0.835627 + 0.751634i
\(223\) −1.73860 + 3.01134i −0.116425 + 0.201654i −0.918349 0.395773i \(-0.870477\pi\)
0.801923 + 0.597427i \(0.203810\pi\)
\(224\) 0.591070 + 1.02376i 0.0394925 + 0.0684030i
\(225\) −14.4425 4.05154i −0.962832 0.270103i
\(226\) 1.23326 2.13607i 0.0820354 0.142089i
\(227\) 19.6305i 1.30292i −0.758682 0.651461i \(-0.774156\pi\)
0.758682 0.651461i \(-0.225844\pi\)
\(228\) −2.31678 7.18558i −0.153432 0.475877i
\(229\) −10.1213 −0.668834 −0.334417 0.942425i \(-0.608539\pi\)
−0.334417 + 0.942425i \(0.608539\pi\)
\(230\) −3.83592 + 0.277365i −0.252933 + 0.0182889i
\(231\) 9.79706 + 2.07723i 0.644599 + 0.136672i
\(232\) 3.36289 1.94156i 0.220784 0.127470i
\(233\) 6.21846 10.7707i 0.407385 0.705611i −0.587211 0.809434i \(-0.699774\pi\)
0.994596 + 0.103823i \(0.0331075\pi\)
\(234\) −1.51643 + 3.41529i −0.0991323 + 0.223265i
\(235\) 0.362827 0.245982i 0.0236682 0.0160461i
\(236\) −2.51751 −0.163876
\(237\) −10.0274 9.01954i −0.651353 0.585882i
\(238\) −0.376930 0.652861i −0.0244327 0.0423187i
\(239\) 2.35924i 0.152607i 0.997085 + 0.0763033i \(0.0243117\pi\)
−0.997085 + 0.0763033i \(0.975688\pi\)
\(240\) −3.05880 2.37566i −0.197445 0.153348i
\(241\) −21.7637 + 12.5653i −1.40193 + 0.809402i −0.994590 0.103877i \(-0.966875\pi\)
−0.407335 + 0.913279i \(0.633542\pi\)
\(242\) 11.1924 + 6.46191i 0.719472 + 0.415387i
\(243\) −7.82848 13.4802i −0.502197 0.864753i
\(244\) 5.71356 9.89618i 0.365773 0.633538i
\(245\) −0.903485 12.4951i −0.0577216 0.798280i
\(246\) 20.0498 6.52583i 1.27833 0.416071i
\(247\) −2.70170 4.70956i −0.171905 0.299662i
\(248\) −6.45549 −0.409924
\(249\) −13.9130 2.94992i −0.881703 0.186944i
\(250\) 3.37927 10.6574i 0.213724 0.674034i
\(251\) −0.386534 + 0.223165i −0.0243978 + 0.0140861i −0.512149 0.858896i \(-0.671151\pi\)
0.487752 + 0.872983i \(0.337817\pi\)
\(252\) −3.52661 + 0.374284i −0.222156 + 0.0235776i
\(253\) −7.28555 + 4.20632i −0.458039 + 0.264449i
\(254\) 6.97423i 0.437602i
\(255\) 1.95062 + 1.51497i 0.122152 + 0.0948714i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 15.2017 8.77669i 0.948254 0.547475i 0.0557162 0.998447i \(-0.482256\pi\)
0.892538 + 0.450972i \(0.148922\pi\)
\(258\) 5.76994 + 17.7274i 0.359221 + 1.10366i
\(259\) 11.4294i 0.710191i
\(260\) −2.50626 1.21504i −0.155432 0.0753538i
\(261\) 1.22946 + 11.5843i 0.0761015 + 0.717051i
\(262\) −7.07770 12.2589i −0.437262 0.757360i
\(263\) −3.13559 + 5.43101i −0.193349 + 0.334890i −0.946358 0.323120i \(-0.895268\pi\)
0.753009 + 0.658010i \(0.228602\pi\)
\(264\) −8.28757 1.75718i −0.510065 0.108147i
\(265\) 2.28048 + 3.36374i 0.140089 + 0.206633i
\(266\) 2.58876 4.45532i 0.158727 0.273173i
\(267\) −2.64223 8.11792i −0.161702 0.496809i
\(268\) −2.67262 + 4.62912i −0.163256 + 0.282768i
\(269\) 5.87519 10.1761i 0.358217 0.620450i −0.629446 0.777044i \(-0.716718\pi\)
0.987663 + 0.156594i \(0.0500515\pi\)
\(270\) 10.2376 5.49465i 0.623041 0.334394i
\(271\) 4.03454 6.98803i 0.245081 0.424493i −0.717073 0.696998i \(-0.754519\pi\)
0.962154 + 0.272505i \(0.0878521\pi\)
\(272\) 0.318854 + 0.552271i 0.0193333 + 0.0334863i
\(273\) −2.42518 + 0.789351i −0.146779 + 0.0477737i
\(274\) 13.0397i 0.787758i
\(275\) −3.51830 24.2016i −0.212162 1.45941i
\(276\) 1.99225 2.21487i 0.119919 0.133320i
\(277\) 6.18038i 0.371343i −0.982612 0.185671i \(-0.940554\pi\)
0.982612 0.185671i \(-0.0594460\pi\)
\(278\) 22.0353i 1.32159i
\(279\) 7.85907 17.7001i 0.470510 1.05968i
\(280\) −0.190636 2.63646i −0.0113927 0.157559i
\(281\) −10.3319 17.8954i −0.616352 1.06755i −0.990146 0.140041i \(-0.955277\pi\)
0.373794 0.927512i \(-0.378057\pi\)
\(282\) −0.0704266 + 0.332160i −0.00419384 + 0.0197799i
\(283\) −14.3170 8.26590i −0.851055 0.491357i 0.00995159 0.999950i \(-0.496832\pi\)
−0.861007 + 0.508594i \(0.830166\pi\)
\(284\) 5.98573 0.355188
\(285\) −2.34773 + 16.7179i −0.139068 + 0.990283i
\(286\) −6.09250 −0.360257
\(287\) 12.4627 + 7.19537i 0.735652 + 0.424729i
\(288\) 2.98325 0.316615i 0.175789 0.0186567i
\(289\) 8.29666 + 14.3702i 0.488039 + 0.845309i
\(290\) −8.66032 + 0.626206i −0.508552 + 0.0367721i
\(291\) 0.327901 0.364543i 0.0192219 0.0213699i
\(292\) 9.47248i 0.554335i
\(293\) 0.128937i 0.00753260i 0.999993 + 0.00376630i \(0.00119885\pi\)
−0.999993 + 0.00376630i \(0.998801\pi\)
\(294\) 7.21470 + 6.48951i 0.420770 + 0.378476i
\(295\) 5.06543 + 2.45574i 0.294920 + 0.142979i
\(296\) 9.66844i 0.561967i
\(297\) 14.9075 20.5842i 0.865019 1.19442i
\(298\) 2.65188 + 4.59319i 0.153619 + 0.266077i
\(299\) 1.07119 1.85536i 0.0619486 0.107298i
\(300\) 3.83718 + 7.76377i 0.221540 + 0.448241i
\(301\) −6.36193 + 11.0192i −0.366695 + 0.635135i
\(302\) −9.83554 + 17.0356i −0.565971 + 0.980291i
\(303\) 26.7930 8.72063i 1.53922 0.500987i
\(304\) −2.18990 + 3.76887i −0.125599 + 0.216159i
\(305\) −21.1495 + 14.3385i −1.21102 + 0.821022i
\(306\) −1.90244 + 0.201908i −0.108755 + 0.0115423i
\(307\) −10.9073 + 18.8920i −0.622514 + 1.07823i 0.366502 + 0.930417i \(0.380555\pi\)
−0.989016 + 0.147808i \(0.952778\pi\)
\(308\) −2.89104 5.00743i −0.164732 0.285325i
\(309\) 8.28462 + 1.75655i 0.471295 + 0.0999268i
\(310\) 12.9890 + 6.29710i 0.737723 + 0.357651i
\(311\) 26.0604i 1.47775i 0.673844 + 0.738874i \(0.264642\pi\)
−0.673844 + 0.738874i \(0.735358\pi\)
\(312\) 2.05152 0.667731i 0.116144 0.0378028i
\(313\) 29.2035 16.8606i 1.65068 0.953019i 0.673884 0.738837i \(-0.264625\pi\)
0.976794 0.214182i \(-0.0687086\pi\)
\(314\) 7.32182 + 12.6818i 0.413194 + 0.715673i
\(315\) 7.46093 + 2.68700i 0.420376 + 0.151395i
\(316\) 7.78678i 0.438040i
\(317\) 17.9461 10.3612i 1.00795 0.581941i 0.0973601 0.995249i \(-0.468960\pi\)
0.910591 + 0.413308i \(0.135627\pi\)
\(318\) −3.07943 0.652918i −0.172686 0.0366138i
\(319\) −16.4485 + 9.49657i −0.920941 + 0.531706i
\(320\) 0.161263 + 2.23025i 0.00901489 + 0.124675i
\(321\) 1.51736 7.15651i 0.0846910 0.399437i
\(322\) 2.03322 0.113307
\(323\) 1.39651 2.40343i 0.0777041 0.133731i
\(324\) −2.76376 + 8.56514i −0.153542 + 0.475841i
\(325\) 3.85756 + 4.88953i 0.213979 + 0.271223i
\(326\) 5.49446 9.51668i 0.304310 0.527080i
\(327\) −8.98564 8.08245i −0.496907 0.446960i
\(328\) −10.5425 6.08673i −0.582114 0.336084i
\(329\) −0.200694 + 0.115871i −0.0110646 + 0.00638817i
\(330\) 14.9612 + 11.6198i 0.823586 + 0.639650i
\(331\) 13.3818i 0.735532i 0.929918 + 0.367766i \(0.119877\pi\)
−0.929918 + 0.367766i \(0.880123\pi\)
\(332\) 4.10563 + 7.11116i 0.225326 + 0.390276i
\(333\) 26.5097 + 11.7706i 1.45272 + 0.645026i
\(334\) 15.2379 0.833782
\(335\) 9.89307 6.70711i 0.540516 0.366449i
\(336\) 1.52230 + 1.36929i 0.0830485 + 0.0747008i
\(337\) −9.45399 + 16.3748i −0.514992 + 0.891992i 0.484857 + 0.874593i \(0.338872\pi\)
−0.999849 + 0.0173983i \(0.994462\pi\)
\(338\) −9.91466 + 5.72423i −0.539287 + 0.311357i
\(339\) 0.886107 4.17924i 0.0481267 0.226985i
\(340\) −0.102839 1.42224i −0.00557722 0.0771320i
\(341\) 31.5751 1.70989
\(342\) −7.66772 10.5927i −0.414623 0.572790i
\(343\) 14.8980i 0.804414i
\(344\) 5.38171 9.32139i 0.290162 0.502576i
\(345\) −6.16909 + 2.51314i −0.332133 + 0.135303i
\(346\) −11.7522 20.3554i −0.631801 1.09431i
\(347\) −10.2528 + 17.7584i −0.550401 + 0.953323i 0.447844 + 0.894112i \(0.352192\pi\)
−0.998245 + 0.0592114i \(0.981141\pi\)
\(348\) 4.49788 5.00051i 0.241112 0.268055i
\(349\) −18.3965 −0.984740 −0.492370 0.870386i \(-0.663869\pi\)
−0.492370 + 0.870386i \(0.663869\pi\)
\(350\) −2.18820 + 5.49073i −0.116964 + 0.293492i
\(351\) −0.666738 + 6.43792i −0.0355879 + 0.343631i
\(352\) 2.44560 + 4.23590i 0.130351 + 0.225774i
\(353\) 6.64568 0.353714 0.176857 0.984237i \(-0.443407\pi\)
0.176857 + 0.984237i \(0.443407\pi\)
\(354\) −4.14635 + 1.34956i −0.220376 + 0.0717282i
\(355\) −12.0438 5.83886i −0.639217 0.309895i
\(356\) −2.46445 + 4.26855i −0.130615 + 0.226233i
\(357\) −0.970784 0.873206i −0.0513793 0.0462149i
\(358\) 6.29338 + 3.63348i 0.332615 + 0.192036i
\(359\) −5.49798 3.17426i −0.290172 0.167531i 0.347847 0.937551i \(-0.386913\pi\)
−0.638020 + 0.770020i \(0.720246\pi\)
\(360\) −6.31138 2.27299i −0.332639 0.119797i
\(361\) 18.9997 + 0.105261i 0.999985 + 0.00554007i
\(362\) 7.06431 0.371292
\(363\) 21.8979 + 4.64292i 1.14934 + 0.243690i
\(364\) 1.27520 + 0.736240i 0.0668389 + 0.0385894i
\(365\) −9.24007 + 19.0594i −0.483647 + 0.997614i
\(366\) 4.10523 19.3619i 0.214584 1.01206i
\(367\) 7.41907 4.28340i 0.387272 0.223592i −0.293705 0.955896i \(-0.594888\pi\)
0.680978 + 0.732304i \(0.261555\pi\)
\(368\) −1.71995 −0.0896587
\(369\) 29.5238 21.4961i 1.53695 1.11904i
\(370\) −9.43122 + 19.4537i −0.490306 + 1.01135i
\(371\) −1.07423 1.86062i −0.0557712 0.0965985i
\(372\) −10.6322 + 3.46059i −0.551255 + 0.179423i
\(373\) −33.4428 −1.73160 −0.865800 0.500390i \(-0.833190\pi\)
−0.865800 + 0.500390i \(0.833190\pi\)
\(374\) −1.55958 2.70127i −0.0806438 0.139679i
\(375\) −0.147439 19.3644i −0.00761370 0.999971i
\(376\) 0.169772 0.0980180i 0.00875533 0.00505489i
\(377\) 2.41842 4.18883i 0.124555 0.215736i
\(378\) −5.60771 + 2.50696i −0.288429 + 0.128944i
\(379\) 6.73402i 0.345903i 0.984930 + 0.172952i \(0.0553305\pi\)
−0.984930 + 0.172952i \(0.944670\pi\)
\(380\) 8.08265 5.44709i 0.414631 0.279430i
\(381\) 3.73867 + 11.4866i 0.191538 + 0.588476i
\(382\) −3.75517 + 6.50414i −0.192131 + 0.332781i
\(383\) −31.1110 17.9619i −1.58970 0.917811i −0.993356 0.115079i \(-0.963288\pi\)
−0.596339 0.802733i \(-0.703379\pi\)
\(384\) −1.28775 1.15831i −0.0657154 0.0591100i
\(385\) 0.932437 + 12.8954i 0.0475214 + 0.657213i
\(386\) −9.01300 + 5.20366i −0.458750 + 0.264859i
\(387\) 19.0062 + 26.1041i 0.966142 + 1.32694i
\(388\) −0.283085 −0.0143715
\(389\) 13.1534 7.59410i 0.666903 0.385036i −0.127999 0.991774i \(-0.540856\pi\)
0.794902 + 0.606738i \(0.207522\pi\)
\(390\) −4.77917 0.657656i −0.242003 0.0333017i
\(391\) 1.09683 0.0554689
\(392\) 5.60255i 0.282971i
\(393\) −18.2287 16.3964i −0.919515 0.827090i
\(394\) −18.0388 10.4147i −0.908781 0.524685i
\(395\) 7.59573 15.6676i 0.382182 0.788324i
\(396\) −14.5916 + 1.54863i −0.733258 + 0.0778215i
\(397\) 10.6507 + 6.14920i 0.534545 + 0.308620i 0.742865 0.669441i \(-0.233466\pi\)
−0.208320 + 0.978061i \(0.566800\pi\)
\(398\) 10.7493i 0.538813i
\(399\) 1.87535 8.72570i 0.0938848 0.436832i
\(400\) 1.85105 4.64474i 0.0925525 0.232237i
\(401\) −11.5605 + 20.0234i −0.577304 + 0.999920i 0.418483 + 0.908225i \(0.362562\pi\)
−0.995787 + 0.0916957i \(0.970771\pi\)
\(402\) −1.92030 + 9.05690i −0.0957757 + 0.451717i
\(403\) −6.96370 + 4.02050i −0.346887 + 0.200275i
\(404\) −14.0883 8.13386i −0.700917 0.404675i
\(405\) 13.9159 14.5378i 0.691487 0.722389i
\(406\) 4.59039 0.227817
\(407\) 47.2903i 2.34409i
\(408\) 0.821210 + 0.738666i 0.0406559 + 0.0365694i
\(409\) −11.6788 + 6.74274i −0.577478 + 0.333407i −0.760130 0.649770i \(-0.774865\pi\)
0.182653 + 0.983178i \(0.441532\pi\)
\(410\) 15.2750 + 22.5309i 0.754380 + 1.11272i
\(411\) −6.99019 21.4765i −0.344801 1.05936i
\(412\) −2.44473 4.23439i −0.120443 0.208614i
\(413\) −2.57733 1.48802i −0.126822 0.0732207i
\(414\) 2.09392 4.71589i 0.102910 0.231774i
\(415\) −1.32418 18.3131i −0.0650012 0.898956i
\(416\) −1.07873 0.622803i −0.0528889 0.0305354i
\(417\) −11.8125 36.2923i −0.578459 1.77724i
\(418\) 10.7112 18.4343i 0.523903 0.901649i
\(419\) 38.3735i 1.87467i −0.348433 0.937334i \(-0.613286\pi\)
0.348433 0.937334i \(-0.386714\pi\)
\(420\) −1.72730 4.24007i −0.0842838 0.206894i
\(421\) 1.13642 + 0.656111i 0.0553856 + 0.0319769i 0.527437 0.849594i \(-0.323153\pi\)
−0.472052 + 0.881571i \(0.656486\pi\)
\(422\) 1.90388 + 3.29761i 0.0926793 + 0.160525i
\(423\) 0.0620680 + 0.584824i 0.00301785 + 0.0284351i
\(424\) 0.908716 + 1.57394i 0.0441312 + 0.0764374i
\(425\) −1.18043 + 2.96199i −0.0572592 + 0.143677i
\(426\) 9.85853 3.20877i 0.477647 0.155465i
\(427\) 11.6987 6.75422i 0.566138 0.326860i
\(428\) −3.65780 + 2.11183i −0.176806 + 0.102079i
\(429\) −10.0344 + 3.26601i −0.484465 + 0.157684i
\(430\) −19.9211 + 13.5057i −0.960681 + 0.651304i
\(431\) −2.29056 3.96737i −0.110333 0.191102i 0.805572 0.592498i \(-0.201858\pi\)
−0.915904 + 0.401397i \(0.868525\pi\)
\(432\) 4.74370 2.12069i 0.228231 0.102032i
\(433\) −2.72960 4.72781i −0.131176 0.227204i 0.792954 0.609282i \(-0.208542\pi\)
−0.924130 + 0.382077i \(0.875209\pi\)
\(434\) −6.60888 3.81564i −0.317237 0.183157i
\(435\) −13.9279 + 5.67390i −0.667792 + 0.272043i
\(436\) 6.97777i 0.334174i
\(437\) 3.73055 + 6.50304i 0.178456 + 0.311083i
\(438\) −5.07791 15.6012i −0.242632 0.745456i
\(439\) −20.9417 12.0907i −0.999491 0.577057i −0.0913936 0.995815i \(-0.529132\pi\)
−0.908098 + 0.418758i \(0.862465\pi\)
\(440\) −0.788771 10.9086i −0.0376032 0.520046i
\(441\) 15.3615 + 6.82069i 0.731499 + 0.324795i
\(442\) 0.687912 + 0.397166i 0.0327206 + 0.0188913i
\(443\) −8.90395 15.4221i −0.423039 0.732726i 0.573196 0.819418i \(-0.305703\pi\)
−0.996235 + 0.0866929i \(0.972370\pi\)
\(444\) −5.18296 15.9240i −0.245972 0.755719i
\(445\) 9.12248 6.18468i 0.432447 0.293182i
\(446\) 3.01134 1.73860i 0.142591 0.0823249i
\(447\) 6.82994 + 6.14343i 0.323045 + 0.290574i
\(448\) 1.18214i 0.0558508i
\(449\) −5.69376 −0.268705 −0.134352 0.990934i \(-0.542895\pi\)
−0.134352 + 0.990934i \(0.542895\pi\)
\(450\) 10.4818 + 10.7300i 0.494116 + 0.505816i
\(451\) 51.5656 + 29.7714i 2.42813 + 1.40188i
\(452\) −2.13607 + 1.23326i −0.100472 + 0.0580078i
\(453\) −7.06690 + 33.3303i −0.332032 + 1.56600i
\(454\) −9.81525 + 17.0005i −0.460653 + 0.797874i
\(455\) −1.84764 2.72529i −0.0866186 0.127764i
\(456\) −1.58640 + 7.38128i −0.0742900 + 0.345660i
\(457\) 39.4920i 1.84736i −0.383166 0.923680i \(-0.625166\pi\)
0.383166 0.923680i \(-0.374834\pi\)
\(458\) 8.76529 + 5.06064i 0.409575 + 0.236468i
\(459\) −3.02509 + 1.35238i −0.141199 + 0.0631238i
\(460\) 3.46068 + 1.67775i 0.161355 + 0.0782256i
\(461\) 12.3322 + 7.12002i 0.574370 + 0.331612i 0.758893 0.651216i \(-0.225741\pi\)
−0.184523 + 0.982828i \(0.559074\pi\)
\(462\) −7.44589 6.69746i −0.346414 0.311594i
\(463\) 6.96999i 0.323923i −0.986797 0.161961i \(-0.948218\pi\)
0.986797 0.161961i \(-0.0517820\pi\)
\(464\) −3.88313 −0.180270
\(465\) 24.7686 + 3.40837i 1.14862 + 0.158059i
\(466\) −10.7707 + 6.21846i −0.498942 + 0.288064i
\(467\) −0.964919 −0.0446511 −0.0223256 0.999751i \(-0.507107\pi\)
−0.0223256 + 0.999751i \(0.507107\pi\)
\(468\) 3.02092 2.19952i 0.139642 0.101673i
\(469\) −5.47226 + 3.15941i −0.252685 + 0.145888i
\(470\) −0.437208 + 0.0316134i −0.0201669 + 0.00145822i
\(471\) 18.8574 + 16.9619i 0.868902 + 0.781565i
\(472\) 2.18022 + 1.25875i 0.100353 + 0.0579388i
\(473\) −26.3230 + 45.5928i −1.21033 + 2.09636i
\(474\) 4.17425 + 12.8249i 0.191730 + 0.589066i
\(475\) −21.5764 + 3.07566i −0.989992 + 0.141121i
\(476\) 0.753859i 0.0345531i
\(477\) −5.42185 + 0.575427i −0.248249 + 0.0263470i
\(478\) 1.17962 2.04316i 0.0539546 0.0934521i
\(479\) −17.0678 + 9.85408i −0.779846 + 0.450244i −0.836376 0.548156i \(-0.815330\pi\)
0.0565295 + 0.998401i \(0.481996\pi\)
\(480\) 1.46117 + 3.58678i 0.0666929 + 0.163713i
\(481\) −6.02153 10.4296i −0.274558 0.475549i
\(482\) 25.1306 1.14467
\(483\) 3.34873 1.08995i 0.152373 0.0495944i
\(484\) −6.46191 11.1924i −0.293723 0.508743i
\(485\) 0.569590 + 0.276139i 0.0258637 + 0.0125388i
\(486\) 0.0395809 + 15.5884i 0.00179543 + 0.707105i
\(487\) −24.8549 −1.12628 −0.563141 0.826361i \(-0.690407\pi\)
−0.563141 + 0.826361i \(0.690407\pi\)
\(488\) −9.89618 + 5.71356i −0.447979 + 0.258641i
\(489\) 3.94780 18.6194i 0.178526 0.842000i
\(490\) −5.46509 + 11.2728i −0.246887 + 0.509252i
\(491\) −30.4914 17.6042i −1.37606 0.794466i −0.384374 0.923178i \(-0.625583\pi\)
−0.991682 + 0.128711i \(0.958916\pi\)
\(492\) −20.6265 4.37336i −0.929916 0.197166i
\(493\) 2.47630 0.111527
\(494\) −0.0150399 + 5.42945i −0.000676676 + 0.244282i
\(495\) 30.8702 + 11.1177i 1.38751 + 0.499702i
\(496\) 5.59061 + 3.22774i 0.251026 + 0.144930i
\(497\) 6.12796 + 3.53798i 0.274877 + 0.158700i
\(498\) 10.5741 + 9.51122i 0.473836 + 0.426208i
\(499\) −8.51263 + 14.7443i −0.381078 + 0.660046i −0.991217 0.132249i \(-0.957780\pi\)
0.610139 + 0.792294i \(0.291114\pi\)
\(500\) −8.25524 + 7.53996i −0.369186 + 0.337197i
\(501\) 25.0970 8.16859i 1.12125 0.364946i
\(502\) 0.446330 0.0199207
\(503\) −1.07048 1.85412i −0.0477302 0.0826711i 0.841173 0.540766i \(-0.181865\pi\)
−0.888903 + 0.458095i \(0.848532\pi\)
\(504\) 3.24128 + 1.43917i 0.144378 + 0.0641056i
\(505\) 20.4124 + 30.1086i 0.908341 + 1.33981i
\(506\) 8.41263 0.373987
\(507\) −13.2609 + 14.7428i −0.588938 + 0.654751i
\(508\) 3.48711 6.03986i 0.154716 0.267975i
\(509\) −3.12831 5.41839i −0.138660 0.240166i 0.788330 0.615253i \(-0.210946\pi\)
−0.926990 + 0.375087i \(0.877613\pi\)
\(510\) −0.931798 2.28732i −0.0412607 0.101284i
\(511\) 5.59889 9.69757i 0.247681 0.428995i
\(512\) 1.00000i 0.0441942i
\(513\) −18.3072 13.3359i −0.808284 0.588793i
\(514\) −17.5534 −0.774246
\(515\) 0.788490 + 10.9047i 0.0347450 + 0.480518i
\(516\) 3.86679 18.2374i 0.170226 0.802855i
\(517\) −0.830389 + 0.479425i −0.0365205 + 0.0210851i
\(518\) 5.71472 9.89819i 0.251091 0.434902i
\(519\) −30.2678 27.2254i −1.32861 1.19506i
\(520\) 1.56296 + 2.30539i 0.0685404 + 0.101098i
\(521\) −37.8562 −1.65851 −0.829254 0.558872i \(-0.811234\pi\)
−0.829254 + 0.558872i \(0.811234\pi\)
\(522\) 4.72742 10.6470i 0.206913 0.466008i
\(523\) −11.1609 19.3312i −0.488030 0.845293i 0.511875 0.859060i \(-0.328951\pi\)
−0.999905 + 0.0137667i \(0.995618\pi\)
\(524\) 14.1554i 0.618382i
\(525\) −0.660564 + 10.2163i −0.0288294 + 0.445876i
\(526\) 5.43101 3.13559i 0.236803 0.136718i
\(527\) −3.56518 2.05836i −0.155302 0.0896634i
\(528\) 6.29865 + 5.66554i 0.274114 + 0.246561i
\(529\) 10.0209 17.3567i 0.435690 0.754638i
\(530\) −0.293085 4.05332i −0.0127308 0.176065i
\(531\) −6.10560 + 4.44546i −0.264961 + 0.192917i
\(532\) −4.46960 + 2.56404i −0.193782 + 0.111165i
\(533\) −15.1633 −0.656797
\(534\) −1.77072 + 8.35144i −0.0766266 + 0.361402i
\(535\) 9.41981 0.681122i 0.407254 0.0294475i
\(536\) 4.62912 2.67262i 0.199947 0.115440i
\(537\) 12.3130 + 2.61068i 0.531347 + 0.112659i
\(538\) −10.1761 + 5.87519i −0.438724 + 0.253298i
\(539\) 27.4032i 1.18034i
\(540\) −11.6134 0.360298i −0.499760 0.0155047i
\(541\) −9.42086 16.3174i −0.405034 0.701540i 0.589291 0.807921i \(-0.299407\pi\)
−0.994325 + 0.106381i \(0.966074\pi\)
\(542\) −6.98803 + 4.03454i −0.300162 + 0.173298i
\(543\) 11.6350 3.78696i 0.499304 0.162514i
\(544\) 0.637707i 0.0273415i
\(545\) 6.80656 14.0398i 0.291561 0.601400i
\(546\) 2.49495 + 0.528993i 0.106774 + 0.0226388i
\(547\) −7.03497 12.1849i −0.300794 0.520990i 0.675522 0.737340i \(-0.263918\pi\)
−0.976316 + 0.216350i \(0.930585\pi\)
\(548\) −6.51986 + 11.2927i −0.278515 + 0.482401i
\(549\) −3.61800 34.0899i −0.154413 1.45492i
\(550\) −9.05385 + 22.7183i −0.386058 + 0.968713i
\(551\) 8.42244 + 14.6819i 0.358808 + 0.625468i
\(552\) −2.83277 + 0.922014i −0.120571 + 0.0392435i
\(553\) −4.60253 + 7.97181i −0.195719 + 0.338996i
\(554\) −3.09019 + 5.35236i −0.131290 + 0.227400i
\(555\) −5.10475 + 37.0961i −0.216685 + 1.57464i
\(556\) −11.0177 + 19.0832i −0.467253 + 0.809306i
\(557\) 19.5014 + 33.7775i 0.826303 + 1.43120i 0.900919 + 0.433986i \(0.142893\pi\)
−0.0746166 + 0.997212i \(0.523773\pi\)
\(558\) −15.6562 + 11.3992i −0.662781 + 0.482568i
\(559\) 13.4070i 0.567054i
\(560\) −1.15313 + 2.37856i −0.0487288 + 0.100512i
\(561\) −4.01670 3.61296i −0.169585 0.152539i
\(562\) 20.6639i 0.871653i
\(563\) 24.1695i 1.01862i 0.860582 + 0.509311i \(0.170100\pi\)
−0.860582 + 0.509311i \(0.829900\pi\)
\(564\) 0.227071 0.252446i 0.00956143 0.0106299i
\(565\) 5.50095 0.397760i 0.231427 0.0167339i
\(566\) 8.26590 + 14.3170i 0.347442 + 0.601787i
\(567\) −7.89203 + 7.13510i −0.331434 + 0.299646i
\(568\) −5.18379 2.99286i −0.217507 0.125578i
\(569\) 7.88191 0.330427 0.165213 0.986258i \(-0.447169\pi\)
0.165213 + 0.986258i \(0.447169\pi\)
\(570\) 10.3921 13.3043i 0.435279 0.557254i
\(571\) −5.31046 −0.222236 −0.111118 0.993807i \(-0.535443\pi\)
−0.111118 + 0.993807i \(0.535443\pi\)
\(572\) 5.27626 + 3.04625i 0.220612 + 0.127370i
\(573\) −2.69811 + 12.7254i −0.112715 + 0.531611i
\(574\) −7.19537 12.4627i −0.300329 0.520185i
\(575\) −5.32659 6.75155i −0.222134 0.281559i
\(576\) −2.74187 1.21743i −0.114245 0.0507261i
\(577\) 41.8771i 1.74337i 0.490070 + 0.871683i \(0.336971\pi\)
−0.490070 + 0.871683i \(0.663029\pi\)
\(578\) 16.5933i 0.690192i
\(579\) −12.0549 + 13.4021i −0.500986 + 0.556970i
\(580\) 7.81316 + 3.78785i 0.324424 + 0.157282i
\(581\) 9.70686i 0.402708i
\(582\) −0.466243 + 0.151753i −0.0193264 + 0.00629037i
\(583\) −4.44471 7.69846i −0.184081 0.318838i
\(584\) −4.73624 + 8.20341i −0.195987 + 0.339459i
\(585\) −8.22388 + 1.47881i −0.340015 + 0.0611411i
\(586\) 0.0644687 0.111663i 0.00266318 0.00461276i
\(587\) −16.3582 + 28.3333i −0.675176 + 1.16944i 0.301241 + 0.953548i \(0.402599\pi\)
−0.976417 + 0.215892i \(0.930734\pi\)
\(588\) −3.00336 9.22743i −0.123856 0.380533i
\(589\) 0.0779458 28.1387i 0.00321170 1.15944i
\(590\) −3.15892 4.65944i −0.130051 0.191826i
\(591\) −35.2930 7.48303i −1.45176 0.307811i
\(592\) −4.83422 + 8.37312i −0.198685 + 0.344133i
\(593\) 11.4339 + 19.8041i 0.469535 + 0.813259i 0.999393 0.0348277i \(-0.0110882\pi\)
−0.529858 + 0.848086i \(0.677755\pi\)
\(594\) −23.2024 + 10.3727i −0.952004 + 0.425599i
\(595\) 0.735363 1.51683i 0.0301469 0.0621838i
\(596\) 5.30376i 0.217251i
\(597\) −5.76236 17.7041i −0.235838 0.724582i
\(598\) −1.85536 + 1.07119i −0.0758712 + 0.0438043i
\(599\) −8.59070 14.8795i −0.351007 0.607961i 0.635419 0.772167i \(-0.280827\pi\)
−0.986426 + 0.164206i \(0.947494\pi\)
\(600\) 0.558787 8.64221i 0.0228124 0.352817i
\(601\) 25.0284i 1.02093i 0.859898 + 0.510466i \(0.170527\pi\)
−0.859898 + 0.510466i \(0.829473\pi\)
\(602\) 11.0192 6.36193i 0.449108 0.259293i
\(603\) 1.69239 + 15.9462i 0.0689193 + 0.649378i
\(604\) 17.0356 9.83554i 0.693171 0.400202i
\(605\) 2.08414 + 28.8233i 0.0847322 + 1.17183i
\(606\) −27.5638 5.84423i −1.11970 0.237406i
\(607\) 42.2621 1.71537 0.857683 0.514179i \(-0.171903\pi\)
0.857683 + 0.514179i \(0.171903\pi\)
\(608\) 3.78094 2.16898i 0.153337 0.0879639i
\(609\) 7.56041 2.46077i 0.306363 0.0997155i
\(610\) 25.4853 1.84278i 1.03187 0.0746118i
\(611\) 0.122092 0.211469i 0.00493930 0.00855513i
\(612\) 1.74851 + 0.776362i 0.0706795 + 0.0313826i
\(613\) 23.5979 + 13.6243i 0.953111 + 0.550279i 0.894046 0.447976i \(-0.147855\pi\)
0.0590647 + 0.998254i \(0.481188\pi\)
\(614\) 18.8920 10.9073i 0.762420 0.440184i
\(615\) 37.2362 + 28.9200i 1.50151 + 1.16617i
\(616\) 5.78208i 0.232966i
\(617\) 3.86739 + 6.69852i 0.155695 + 0.269672i 0.933312 0.359066i \(-0.116905\pi\)
−0.777617 + 0.628739i \(0.783572\pi\)
\(618\) −6.29641 5.66353i −0.253279 0.227820i
\(619\) −28.3765 −1.14055 −0.570273 0.821455i \(-0.693163\pi\)
−0.570273 + 0.821455i \(0.693163\pi\)
\(620\) −8.10022 11.9479i −0.325313 0.479840i
\(621\) 0.920643 8.88959i 0.0369441 0.356727i
\(622\) 13.0302 22.5689i 0.522463 0.904932i
\(623\) −5.04602 + 2.91332i −0.202164 + 0.116720i
\(624\) −2.11053 0.447488i −0.0844890 0.0179139i
\(625\) 23.9652 7.11831i 0.958607 0.284732i
\(626\) −33.7213 −1.34777
\(627\) 7.75940 36.1033i 0.309881 1.44183i
\(628\) 14.6436i 0.584345i
\(629\) 3.08282 5.33960i 0.122920 0.212904i
\(630\) −5.11785 6.05747i −0.203900 0.241335i
\(631\) −10.6479 18.4427i −0.423886 0.734191i 0.572430 0.819954i \(-0.306001\pi\)
−0.996316 + 0.0857623i \(0.972667\pi\)
\(632\) 3.89339 6.74355i 0.154871 0.268244i
\(633\) 4.90345 + 4.41058i 0.194895 + 0.175305i
\(634\) −20.7223 −0.822989
\(635\) −12.9080 + 8.75113i −0.512239 + 0.347278i
\(636\) 2.34040 + 2.10516i 0.0928031 + 0.0834749i
\(637\) −3.48928 6.04361i −0.138250 0.239457i
\(638\) 18.9931 0.751945
\(639\) 14.5169 10.5697i 0.574281 0.418132i
\(640\) 0.975465 2.01208i 0.0385586 0.0795345i
\(641\) −1.93279 + 3.34770i −0.0763407 + 0.132226i −0.901669 0.432428i \(-0.857657\pi\)
0.825328 + 0.564654i \(0.190990\pi\)
\(642\) −4.89233 + 5.43904i −0.193085 + 0.214662i
\(643\) 21.2850 + 12.2889i 0.839399 + 0.484628i 0.857060 0.515217i \(-0.172288\pi\)
−0.0176606 + 0.999844i \(0.505622\pi\)
\(644\) −1.76082 1.01661i −0.0693862 0.0400601i
\(645\) −25.5702 + 32.9231i −1.00683 + 1.29635i
\(646\) −2.41113 + 1.38318i −0.0948648 + 0.0544204i
\(647\) −43.4177 −1.70693 −0.853464 0.521152i \(-0.825502\pi\)
−0.853464 + 0.521152i \(0.825502\pi\)
\(648\) 6.67606 6.03575i 0.262260 0.237107i
\(649\) −10.6639 6.15681i −0.418595 0.241676i
\(650\) −0.895981 6.16324i −0.0351433 0.241742i
\(651\) −12.9303 2.74156i −0.506779 0.107450i
\(652\) −9.51668 + 5.49446i −0.372702 + 0.215180i
\(653\) −14.7907 −0.578804 −0.289402 0.957208i \(-0.593456\pi\)
−0.289402 + 0.957208i \(0.593456\pi\)
\(654\) 3.74057 + 11.4924i 0.146268 + 0.449389i
\(655\) 13.8081 28.4818i 0.539527 1.11288i
\(656\) 6.08673 + 10.5425i 0.237647 + 0.411617i
\(657\) −16.7267 22.9732i −0.652570 0.896271i
\(658\) 0.231742 0.00903424
\(659\) 3.94515 + 6.83320i 0.153681 + 0.266184i 0.932578 0.360968i \(-0.117554\pi\)
−0.778897 + 0.627152i \(0.784220\pi\)
\(660\) −7.14686 17.5436i −0.278191 0.682886i
\(661\) 33.7114 19.4633i 1.31122 0.757035i 0.328924 0.944356i \(-0.393314\pi\)
0.982299 + 0.187322i \(0.0599807\pi\)
\(662\) 6.69092 11.5890i 0.260050 0.450420i
\(663\) 1.34590 + 0.285366i 0.0522706 + 0.0110827i
\(664\) 8.21126i 0.318659i
\(665\) 11.4943 0.799125i 0.445731 0.0309887i
\(666\) −17.0727 23.4485i −0.661555 0.908610i
\(667\) −3.33940 + 5.78400i −0.129302 + 0.223958i
\(668\) −13.1964 7.61896i −0.510585 0.294786i
\(669\) 4.02768 4.47777i 0.155719 0.173120i
\(670\) −11.9212 + 0.861992i −0.460556 + 0.0333016i
\(671\) 48.4042 27.9462i 1.86862 1.07885i
\(672\) −0.633709 1.94699i −0.0244459 0.0751068i
\(673\) −7.79388 −0.300432 −0.150216 0.988653i \(-0.547997\pi\)
−0.150216 + 0.988653i \(0.547997\pi\)
\(674\) 16.3748 9.45399i 0.630733 0.364154i
\(675\) 23.0156 + 12.0534i 0.885870 + 0.463934i
\(676\) 11.4485 0.440326
\(677\) 31.7619i 1.22071i −0.792128 0.610355i \(-0.791027\pi\)
0.792128 0.610355i \(-0.208973\pi\)
\(678\) −2.85701 + 3.17627i −0.109723 + 0.121984i
\(679\) −0.289812 0.167323i −0.0111220 0.00642126i
\(680\) −0.622061 + 1.28312i −0.0238550 + 0.0492054i
\(681\) −7.05232 + 33.2616i −0.270246 + 1.27459i
\(682\) −27.3448 15.7875i −1.04709 0.604536i
\(683\) 40.8203i 1.56194i −0.624566 0.780972i \(-0.714724\pi\)
0.624566 0.780972i \(-0.285276\pi\)
\(684\) 1.34407 + 13.0074i 0.0513918 + 0.497352i
\(685\) 24.1341 16.3620i 0.922118 0.625159i
\(686\) 7.44898 12.9020i 0.284403 0.492601i
\(687\) 17.1494 + 3.63611i 0.654289 + 0.138726i
\(688\) −9.32139 + 5.38171i −0.355375 + 0.205176i
\(689\) 1.96051 + 1.13190i 0.0746896 + 0.0431220i
\(690\) 6.59916 + 0.908102i 0.251226 + 0.0345709i
\(691\) −0.368227 −0.0140080 −0.00700400 0.999975i \(-0.502229\pi\)
−0.00700400 + 0.999975i \(0.502229\pi\)
\(692\) 23.5044i 0.893501i
\(693\) −15.8537 7.03925i −0.602233 0.267399i
\(694\) 17.7584 10.2528i 0.674101 0.389193i
\(695\) 40.7834 27.6495i 1.54700 1.04881i
\(696\) −6.39553 + 2.08163i −0.242422 + 0.0789038i
\(697\) −3.88156 6.72305i −0.147024 0.254654i
\(698\) 15.9318 + 9.19823i 0.603028 + 0.348158i
\(699\) −14.4059 + 16.0157i −0.544880 + 0.605768i
\(700\) 4.64040 3.66101i 0.175391 0.138373i
\(701\) −22.0697 12.7420i −0.833563 0.481258i 0.0215082 0.999769i \(-0.493153\pi\)
−0.855071 + 0.518511i \(0.826487\pi\)
\(702\) 3.79637 5.24204i 0.143285 0.197848i
\(703\) 42.1436 + 0.116740i 1.58948 + 0.00440294i
\(704\) 4.89120i 0.184344i
\(705\) −0.703138 + 0.286442i −0.0264817 + 0.0107880i
\(706\) −5.75533 3.32284i −0.216605 0.125057i
\(707\) −9.61536 16.6543i −0.361623 0.626349i
\(708\) 4.26562 + 0.904422i 0.160312 + 0.0339903i
\(709\) −10.9886 19.0328i −0.412685 0.714792i 0.582497 0.812833i \(-0.302076\pi\)
−0.995182 + 0.0980411i \(0.968742\pi\)
\(710\) 7.51078 + 11.0785i 0.281874 + 0.415768i
\(711\) 13.7500 + 18.8850i 0.515667 + 0.708241i
\(712\) 4.26855 2.46445i 0.159971 0.0923591i
\(713\) 9.61559 5.55157i 0.360107 0.207908i
\(714\) 0.404121 + 1.24161i 0.0151238 + 0.0464661i
\(715\) −7.64476 11.2761i −0.285898 0.421703i
\(716\) −3.63348 6.29338i −0.135790 0.235195i
\(717\) 0.847565 3.99746i 0.0316529 0.149288i
\(718\) 3.17426 + 5.49798i 0.118462 + 0.205183i
\(719\) 32.4837 + 18.7545i 1.21144 + 0.699424i 0.963072 0.269242i \(-0.0867733\pi\)
0.248365 + 0.968666i \(0.420107\pi\)
\(720\) 4.32932 + 5.12416i 0.161344 + 0.190966i
\(721\) 5.78002i 0.215259i
\(722\) −16.4016 9.59101i −0.610404 0.356941i
\(723\) 41.3902 13.4717i 1.53932 0.501020i
\(724\) −6.11788 3.53216i −0.227369 0.131272i
\(725\) −12.0258 15.2429i −0.446627 0.566108i
\(726\) −16.6427 14.9698i −0.617668 0.555583i
\(727\) −33.2590 19.2021i −1.23351 0.712166i −0.265749 0.964042i \(-0.585619\pi\)
−0.967760 + 0.251876i \(0.918953\pi\)
\(728\) −0.736240 1.27520i −0.0272869 0.0472622i
\(729\) 8.42166 + 25.6530i 0.311913 + 0.950111i
\(730\) 17.5318 11.8859i 0.648882 0.439916i
\(731\) 5.94432 3.43195i 0.219859 0.126935i
\(732\) −13.2362 + 14.7153i −0.489224 + 0.543894i
\(733\) 11.6754i 0.431241i −0.976477 0.215621i \(-0.930823\pi\)
0.976477 0.215621i \(-0.0691775\pi\)
\(734\) −8.56680 −0.316206
\(735\) −2.95804 + 21.4960i −0.109109 + 0.792892i
\(736\) 1.48952 + 0.859976i 0.0549045 + 0.0316992i
\(737\) −22.6419 + 13.0723i −0.834026 + 0.481525i
\(738\) −36.3164 + 3.85431i −1.33683 + 0.141879i
\(739\) 14.3124 24.7898i 0.526491 0.911909i −0.473033 0.881045i \(-0.656841\pi\)
0.999524 0.0308638i \(-0.00982581\pi\)
\(740\) 17.8945 12.1318i 0.657816 0.445973i
\(741\) 2.88579 + 8.95040i 0.106012 + 0.328801i
\(742\) 2.14846i 0.0788724i
\(743\) 11.3898 + 6.57588i 0.417850 + 0.241246i 0.694157 0.719824i \(-0.255777\pi\)
−0.276307 + 0.961069i \(0.589111\pi\)
\(744\) 10.9381 + 2.31915i 0.401009 + 0.0850243i
\(745\) −5.17363 + 10.6716i −0.189547 + 0.390977i
\(746\) 28.9623 + 16.7214i 1.06038 + 0.612213i
\(747\) 22.5143 + 9.99660i 0.823753 + 0.365757i
\(748\) 3.11915i 0.114048i
\(749\) −4.99296 −0.182439
\(750\) −9.55449 + 16.8437i −0.348881 + 0.615047i
\(751\) −28.1156 + 16.2326i −1.02595 + 0.592335i −0.915823 0.401582i \(-0.868461\pi\)
−0.110131 + 0.993917i \(0.535127\pi\)
\(752\) −0.196036 −0.00714870
\(753\) 0.735109 0.239264i 0.0267889 0.00871927i
\(754\) −4.18883 + 2.41842i −0.152548 + 0.0880737i
\(755\) −43.8713 + 3.17222i −1.59664 + 0.115449i
\(756\) 6.10990 + 0.632766i 0.222215 + 0.0230135i
\(757\) 20.7846 + 12.0000i 0.755430 + 0.436148i 0.827653 0.561241i \(-0.189676\pi\)
−0.0722226 + 0.997389i \(0.523009\pi\)
\(758\) 3.36701 5.83183i 0.122295 0.211822i
\(759\) 13.8557 4.50976i 0.502928 0.163694i
\(760\) −9.72332 + 0.675999i −0.352702 + 0.0245211i
\(761\) 37.9550i 1.37587i −0.725773 0.687935i \(-0.758518\pi\)
0.725773 0.687935i \(-0.241482\pi\)
\(762\) 2.50551 11.8170i 0.0907652 0.428086i
\(763\) −4.12435 + 7.14358i −0.149311 + 0.258615i
\(764\) 6.50414 3.75517i 0.235312 0.135857i
\(765\) −2.76084 3.26772i −0.0998183 0.118144i
\(766\) 17.9619 + 31.1110i 0.648990 + 1.12408i
\(767\) 3.13582 0.113228
\(768\) 0.536070 + 1.64701i 0.0193437 + 0.0594312i
\(769\) −5.02601 8.70531i −0.181243 0.313922i 0.761061 0.648680i \(-0.224679\pi\)
−0.942304 + 0.334758i \(0.891345\pi\)
\(770\) 5.64021 11.6340i 0.203259 0.419260i
\(771\) −28.9105 + 9.40983i −1.04119 + 0.338887i
\(772\) 10.4073 0.374568
\(773\) 11.5762 6.68354i 0.416368 0.240390i −0.277154 0.960826i \(-0.589391\pi\)
0.693522 + 0.720435i \(0.256058\pi\)
\(774\) −3.40786 32.1099i −0.122493 1.15417i
\(775\) 4.64352 + 31.9417i 0.166800 + 1.14738i