Properties

Label 570.2.n.a.179.6
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 179.6
Character \(\chi\) \(=\) 570.179
Dual form 570.2.n.a.449.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.15831 - 1.28775i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.01208 - 0.975465i) q^{5} +(0.359253 + 1.69438i) q^{6} -1.18214i q^{7} -1.00000i q^{8} +(-0.316615 + 2.98325i) q^{9} +O(q^{10})\) \(q+(-0.866025 - 0.500000i) q^{2} +(-1.15831 - 1.28775i) q^{3} +(0.500000 + 0.866025i) q^{4} +(2.01208 - 0.975465i) q^{5} +(0.359253 + 1.69438i) q^{6} -1.18214i q^{7} -1.00000i q^{8} +(-0.316615 + 2.98325i) q^{9} +(-2.23025 - 0.161263i) q^{10} -4.89120i q^{11} +(0.536070 - 1.64701i) q^{12} +(0.622803 + 1.07873i) q^{13} +(-0.591070 + 1.02376i) q^{14} +(-3.58678 - 1.46117i) 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} +(-1.52230 + 1.36929i) q^{21} +(-2.44560 + 4.23590i) q^{22} +(0.859976 + 1.48952i) q^{23} +(-1.28775 + 1.15831i) q^{24} +(3.09694 - 3.92543i) 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} +(-6.29865 + 5.66554i) q^{33} +(-0.552271 + 0.318854i) q^{34} +(-1.15313 - 2.37856i) q^{35} +(-2.74187 + 1.21743i) q^{36} -9.66844 q^{37} +(-3.76887 - 2.18990i) q^{38} +(0.667731 - 2.05152i) q^{39} +(-0.975465 - 2.01208i) q^{40} +(-6.08673 + 10.5425i) q^{41} +(2.00300 - 0.424687i) 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} +(1.69438 - 0.359253i) q^{48} +5.60255 q^{49} +(-4.64474 + 1.85105i) q^{50} +(-1.08052 + 0.229098i) q^{51} +(-0.622803 + 1.07873i) q^{52} +(-1.57394 + 0.908716i) q^{53} +(-5.16851 + 0.535272i) q^{54} +(-4.77119 - 9.84148i) q^{55} -1.18214 q^{56} +(-5.03341 - 5.62715i) q^{57} +3.88313i q^{58} +(1.25875 - 2.18022i) q^{59} +(-0.527981 - 3.83683i) q^{60} +(-5.71356 - 9.89618i) q^{61} +(-3.22774 + 5.59061i) q^{62} +(3.52661 + 0.374284i) q^{63} -1.00000 q^{64} +(2.30539 + 1.56296i) q^{65} +(8.28757 - 1.75718i) q^{66} +(-2.67262 - 4.62912i) q^{67} +0.637707 q^{68} +(0.922014 - 2.83277i) q^{69} +(-0.190636 + 2.63646i) q^{70} +(-2.99286 + 5.18379i) q^{71} +(2.98325 + 0.316615i) 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} +(-1.60403 + 1.44280i) q^{78} +(6.74355 + 3.89339i) q^{79} +(-0.161263 + 2.23025i) q^{80} +(-8.79951 - 1.88908i) q^{81} +(10.5425 - 6.08673i) q^{82} +8.21126 q^{83} +(-1.94699 - 0.633709i) q^{84} +(0.102839 - 1.42224i) q^{85} +(5.38171 + 9.32139i) q^{86} +(-2.08163 + 6.39553i) q^{87} -4.89120 q^{88} +(-2.46445 - 4.26855i) q^{89} +(1.18722 - 6.60231i) q^{90} +(1.27520 - 0.736240i) q^{91} +(-0.859976 + 1.48952i) q^{92} +(-8.31307 + 7.47748i) q^{93} -0.196036i q^{94} +(8.78220 - 4.22764i) q^{95} +(-1.64701 - 0.536070i) q^{96} +(0.141542 - 0.245159i) q^{97} +(-4.85195 - 2.80127i) q^{98} +(14.5916 + 1.54863i) 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
\(3\) −1.15831 1.28775i −0.668753 0.743485i
\(4\) 0.500000 + 0.866025i 0.250000 + 0.433013i
\(5\) 2.01208 0.975465i 0.899830 0.436241i
\(6\) 0.359253 + 1.69438i 0.146665 + 0.691729i
\(7\) 1.18214i 0.446807i −0.974726 0.223403i \(-0.928283\pi\)
0.974726 0.223403i \(-0.0717167\pi\)
\(8\) 1.00000i 0.353553i
\(9\) −0.316615 + 2.98325i −0.105538 + 0.994415i
\(10\) −2.23025 0.161263i −0.705265 0.0509959i
\(11\) 4.89120i 1.47475i −0.675483 0.737376i \(-0.736065\pi\)
0.675483 0.737376i \(-0.263935\pi\)
\(12\) 0.536070 1.64701i 0.154750 0.475450i
\(13\) 0.622803 + 1.07873i 0.172734 + 0.299185i 0.939375 0.342892i \(-0.111406\pi\)
−0.766640 + 0.642077i \(0.778073\pi\)
\(14\) −0.591070 + 1.02376i −0.157970 + 0.273612i
\(15\) −3.58678 1.46117i −0.926102 0.377272i
\(16\) −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
\(21\) −1.52230 + 1.36929i −0.332194 + 0.298803i
\(22\) −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 \(0.775944\pi\)
\(24\) −1.28775 + 1.15831i −0.262861 + 0.236440i
\(25\) 3.09694 3.92543i 0.619388 0.785085i
\(26\) 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 0.627511 0.778608i \(-0.284074\pi\)
−0.988050 + 0.154136i \(0.950741\pi\)
\(30\) 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
\(33\) −6.29865 + 5.66554i −1.09646 + 0.986245i
\(34\) −0.552271 + 0.318854i −0.0947137 + 0.0546830i
\(35\) −1.15313 2.37856i −0.194915 0.402050i
\(36\) −2.74187 + 1.21743i −0.456979 + 0.202904i
\(37\) −9.66844 −1.58948 −0.794741 0.606949i \(-0.792393\pi\)
−0.794741 + 0.606949i \(0.792393\pi\)
\(38\) −3.76887 2.18990i −0.611391 0.355248i
\(39\) 0.667731 2.05152i 0.106923 0.328506i
\(40\) −0.975465 2.01208i −0.154234 0.318138i
\(41\) −6.08673 + 10.5425i −0.950588 + 1.64647i −0.206432 + 0.978461i \(0.566185\pi\)
−0.744156 + 0.668006i \(0.767148\pi\)
\(42\) 2.00300 0.424687i 0.309069 0.0655307i
\(43\) −9.32139 5.38171i −1.42150 0.820703i −0.425071 0.905160i \(-0.639751\pi\)
−0.996427 + 0.0844573i \(0.973084\pi\)
\(44\) 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 \(0.828782\pi\)
\(48\) 1.69438 0.359253i 0.244563 0.0518537i
\(49\) 5.60255 0.800364
\(50\) −4.64474 + 1.85105i −0.656865 + 0.261778i
\(51\) −1.08052 + 0.229098i −0.151303 + 0.0320802i
\(52\) −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 \(0.373169\pi\)
\(54\) −5.16851 + 0.535272i −0.703345 + 0.0728413i
\(55\) −4.77119 9.84148i −0.643347 1.32703i
\(56\) −1.18214 −0.157970
\(57\) −5.03341 5.62715i −0.666691 0.745334i
\(58\) 3.88313i 0.509879i
\(59\) 1.25875 2.18022i 0.163876 0.283841i −0.772380 0.635161i \(-0.780934\pi\)
0.936255 + 0.351320i \(0.114267\pi\)
\(60\) −0.527981 3.83683i −0.0681620 0.495332i
\(61\) −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
\(63\) 3.52661 + 0.374284i 0.444311 + 0.0471553i
\(64\) −1.00000 −0.125000
\(65\) 2.30539 + 1.56296i 0.285948 + 0.193862i
\(66\) 8.28757 1.75718i 1.02013 0.216294i
\(67\) −2.67262 4.62912i −0.326513 0.565537i 0.655305 0.755365i \(-0.272540\pi\)
−0.981817 + 0.189828i \(0.939207\pi\)
\(68\) 0.637707 0.0773334
\(69\) 0.922014 2.83277i 0.110997 0.341026i
\(70\) −0.190636 + 2.63646i −0.0227853 + 0.315117i
\(71\) −2.99286 + 5.18379i −0.355188 + 0.615203i −0.987150 0.159796i \(-0.948916\pi\)
0.631962 + 0.774999i \(0.282250\pi\)
\(72\) 2.98325 + 0.316615i 0.351579 + 0.0373135i
\(73\) 8.20341 + 4.73624i 0.960136 + 0.554335i 0.896215 0.443620i \(-0.146306\pi\)
0.0639213 + 0.997955i \(0.479639\pi\)
\(74\) 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
\(78\) −1.60403 + 1.44280i −0.181621 + 0.163365i
\(79\) 6.74355 + 3.89339i 0.758708 + 0.438040i 0.828832 0.559498i \(-0.189006\pi\)
−0.0701234 + 0.997538i \(0.522339\pi\)
\(80\) −0.161263 + 2.23025i −0.0180298 + 0.249349i
\(81\) −8.79951 1.88908i −0.977723 0.209898i
\(82\) 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
\(85\) 0.102839 1.42224i 0.0111544 0.154264i
\(86\) 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 0.705338 0.708871i \(-0.250795\pi\)
−0.966569 + 0.256406i \(0.917462\pi\)
\(90\) 1.18722 6.60231i 0.125144 0.695945i
\(91\) 1.27520 0.736240i 0.133678 0.0771789i
\(92\) −0.859976 + 1.48952i −0.0896587 + 0.155294i
\(93\) −8.31307 + 7.47748i −0.862025 + 0.775379i
\(94\) 0.196036i 0.0202196i
\(95\) 8.78220 4.22764i 0.901035 0.433747i
\(96\) −1.64701 0.536070i −0.168097 0.0547124i
\(97\) 0.141542 0.245159i 0.0143715 0.0248921i −0.858750 0.512394i \(-0.828759\pi\)
0.873122 + 0.487502i \(0.162092\pi\)
\(98\) −4.85195 2.80127i −0.490121 0.282971i
\(99\) 14.5916 + 1.54863i 1.46652 + 0.155643i
\(100\) 4.94799 + 0.719314i 0.494799 + 0.0719314i
\(101\) 14.0883 8.13386i 1.40183 0.809349i 0.407254 0.913315i \(-0.366487\pi\)
0.994581 + 0.103966i \(0.0331532\pi\)
\(102\) 1.05031 + 0.341856i 0.103996 + 0.0338487i
\(103\) 4.88946 0.481772 0.240886 0.970553i \(-0.422562\pi\)
0.240886 + 0.970553i \(0.422562\pi\)
\(104\) 1.07873 0.622803i 0.105778 0.0610708i
\(105\) −1.72730 + 4.24007i −0.168568 + 0.413789i
\(106\) 1.81743 0.176525
\(107\) 4.22366i 0.408317i 0.978938 + 0.204158i \(0.0654458\pi\)
−0.978938 + 0.204158i \(0.934554\pi\)
\(108\) 4.74370 + 2.12069i 0.456462 + 0.204064i
\(109\) 6.04292 + 3.48888i 0.578807 + 0.334174i 0.760659 0.649151i \(-0.224876\pi\)
−0.181852 + 0.983326i \(0.558209\pi\)
\(110\) −0.788771 + 10.9086i −0.0752063 + 1.04009i
\(111\) 11.1991 + 12.4506i 1.06297 + 1.18176i
\(112\) 1.02376 + 0.591070i 0.0967365 + 0.0558508i
\(113\) 2.46652i 0.232031i 0.993247 + 0.116016i \(0.0370122\pi\)
−0.993247 + 0.116016i \(0.962988\pi\)
\(114\) 1.54548 + 7.38996i 0.144748 + 0.692133i
\(115\) 3.18332 + 2.15816i 0.296846 + 0.201250i
\(116\) 1.94156 3.36289i 0.180270 0.312236i
\(117\) −3.41529 + 1.51643i −0.315744 + 0.140194i
\(118\) −2.18022 + 1.25875i −0.200706 + 0.115878i
\(119\) −0.652861 0.376930i −0.0598477 0.0345531i
\(120\) −1.46117 + 3.58678i −0.133386 + 0.327427i
\(121\) −12.9238 −1.17489
\(122\) 11.4271i 1.03456i
\(123\) 20.6265 4.37336i 1.85983 0.394332i
\(124\) 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 0.978238 0.207485i \(-0.0665280\pi\)
−0.668807 + 0.743436i \(0.733195\pi\)
\(128\) 0.866025 + 0.500000i 0.0765466 + 0.0441942i
\(129\) 3.86679 + 18.2374i 0.340452 + 1.60571i
\(130\) −1.21504 2.50626i −0.106566 0.219813i
\(131\) −12.2589 7.07770i −1.07107 0.618382i −0.142596 0.989781i \(-0.545545\pi\)
−0.928473 + 0.371399i \(0.878878\pi\)
\(132\) −8.05583 2.62202i −0.701170 0.228218i
\(133\) 0.0142736 5.15281i 0.00123768 0.446805i
\(134\) 5.34524i 0.461759i
\(135\) 5.49465 10.2376i 0.472905 0.881114i
\(136\) −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 \(0.645275\pi\)
\(138\) −2.21487 + 1.99225i −0.188543 + 0.169591i
\(139\) 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
\(147\) −6.48951 7.21470i −0.535246 0.595058i
\(148\) −4.83422 8.37312i −0.397371 0.688266i
\(149\) 4.59319 + 2.65188i 0.376289 + 0.217251i 0.676203 0.736716i \(-0.263624\pi\)
−0.299913 + 0.953966i \(0.596958\pi\)
\(150\) 7.76377 + 3.83718i 0.633909 + 0.313304i
\(151\) 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
\(155\) −6.29710 12.9890i −0.505795 1.04330i
\(156\) 2.11053 0.447488i 0.168978 0.0358277i
\(157\) 12.6818 + 7.32182i 1.01211 + 0.584345i 0.911810 0.410612i \(-0.134685\pi\)
0.100304 + 0.994957i \(0.468018\pi\)
\(158\) −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
\(162\) 6.67606 + 6.03575i 0.524521 + 0.474213i
\(163\) 10.9889i 0.860718i −0.902658 0.430359i \(-0.858387\pi\)
0.902658 0.430359i \(-0.141613\pi\)
\(164\) −12.1735 −0.950588
\(165\) −7.14686 + 17.5436i −0.556383 + 1.36577i
\(166\) −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 \(0.534037\pi\)
\(168\) 1.36929 + 1.52230i 0.105643 + 0.117448i
\(169\) 5.72423 9.91466i 0.440326 0.762666i
\(170\) −0.800183 + 1.18028i −0.0613712 + 0.0905234i
\(171\) −1.41611 + 12.9998i −0.108293 + 0.994119i
\(172\) 10.7634i 0.820703i
\(173\) 20.3554 + 11.7522i 1.54759 + 0.893501i 0.998325 + 0.0578530i \(0.0184255\pi\)
0.549265 + 0.835648i \(0.314908\pi\)
\(174\) 5.00051 4.49788i 0.379087 0.340983i
\(175\) −4.64040 3.66101i −0.350781 0.276746i
\(176\) 4.23590 + 2.44560i 0.319293 + 0.184344i
\(177\) −4.26562 + 0.904422i −0.320624 + 0.0679805i
\(178\) 4.92889i 0.369436i
\(179\) 7.26697 0.543159 0.271579 0.962416i \(-0.412454\pi\)
0.271579 + 0.962416i \(0.412454\pi\)
\(180\) −4.32932 + 5.12416i −0.322688 + 0.381932i
\(181\) −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
\(185\) −19.4537 + 9.43122i −1.43026 + 0.693397i
\(186\) 10.9381 2.31915i 0.802018 0.170049i
\(187\) −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
\(190\) −9.71943 0.729857i −0.705122 0.0529494i
\(191\) 7.51033i 0.543429i 0.962378 + 0.271714i \(0.0875906\pi\)
−0.962378 + 0.271714i \(0.912409\pi\)
\(192\) 1.15831 + 1.28775i 0.0835941 + 0.0929356i
\(193\) −5.20366 + 9.01300i −0.374568 + 0.648770i −0.990262 0.139215i \(-0.955542\pi\)
0.615695 + 0.787985i \(0.288875\pi\)
\(194\) −0.245159 + 0.141542i −0.0176014 + 0.0101622i
\(195\) −0.657656 4.77917i −0.0470957 0.342244i
\(196\) 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 \(0.708914\pi\)
\(200\) −3.92543 3.09694i −0.277570 0.218987i
\(201\) −2.86542 + 8.80365i −0.202111 + 0.620962i
\(202\) −16.2677 −1.14459
\(203\) −3.97540 + 2.29520i −0.279018 + 0.161091i
\(204\) −0.738666 0.821210i −0.0517169 0.0574962i
\(205\) −1.96313 + 27.1498i −0.137111 + 1.89623i
\(206\) −4.23439 2.44473i −0.295024 0.170332i
\(207\) −4.71589 + 2.09392i −0.327777 + 0.145537i
\(208\) −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
\(213\) 10.1421 2.15039i 0.694927 0.147342i
\(214\) 2.11183 3.65780i 0.144362 0.250042i
\(215\) −24.0051 1.73574i −1.63713 0.118377i
\(216\) −3.04781 4.20842i −0.207377 0.286347i
\(217\) −7.63128 −0.518045
\(218\) −3.48888 6.04292i −0.236297 0.409278i
\(219\) −3.40302 16.0500i −0.229955 1.08456i
\(220\) 6.13738 9.05271i 0.413782 0.610334i
\(221\) 0.794332 0.0534326
\(222\) −3.47342 16.3821i −0.233121 1.09949i
\(223\) 1.73860 3.01134i 0.116425 0.201654i −0.801923 0.597427i \(-0.796190\pi\)
0.918349 + 0.395773i \(0.129523\pi\)
\(224\) −0.591070 1.02376i −0.0394925 0.0684030i
\(225\) 10.7300 + 10.4818i 0.715332 + 0.698785i
\(226\) 1.23326 2.13607i 0.0820354 0.142089i
\(227\) 19.6305i 1.30292i −0.758682 0.651461i \(-0.774156\pi\)
0.758682 0.651461i \(-0.225844\pi\)
\(228\) 2.35655 7.17263i 0.156066 0.475019i
\(229\) −10.1213 −0.668834 −0.334417 0.942425i \(-0.608539\pi\)
−0.334417 + 0.942425i \(0.608539\pi\)
\(230\) −1.67775 3.46068i −0.110628 0.228191i
\(231\) 6.69746 + 7.44589i 0.440661 + 0.489903i
\(232\) −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 \(0.0331075\pi\)
\(234\) 3.71595 + 0.394378i 0.242919 + 0.0257813i
\(235\) 0.362827 + 0.245982i 0.0236682 + 0.0160461i
\(236\) 2.51751 0.163876
\(237\) −2.79742 13.1938i −0.181712 0.857029i
\(238\) 0.376930 + 0.652861i 0.0244327 + 0.0423187i
\(239\) 2.35924i 0.152607i −0.997085 0.0763033i \(-0.975688\pi\)
0.997085 0.0763033i \(-0.0243117\pi\)
\(240\) 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
\(243\) 7.75993 + 13.5197i 0.497799 + 0.867292i
\(244\) 5.71356 9.89618i 0.365773 0.633538i
\(245\) 11.2728 5.46509i 0.720191 0.349152i
\(246\) −20.0498 6.52583i −1.27833 0.416071i
\(247\) 2.70170 + 4.70956i 0.171905 + 0.299662i
\(248\) −6.45549 −0.409924
\(249\) −9.51122 10.5741i −0.602749 0.670105i
\(250\) −7.53996 + 8.25524i −0.476869 + 0.522107i
\(251\) 0.386534 0.223165i 0.0243978 0.0140861i −0.487752 0.872983i \(-0.662183\pi\)
0.512149 + 0.858896i \(0.328849\pi\)
\(252\) 1.43917 + 3.24128i 0.0906590 + 0.204181i
\(253\) 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
\(260\) −0.200871 + 2.77801i −0.0124575 + 0.172285i
\(261\) 10.6470 4.72742i 0.659035 0.292620i
\(262\) 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 \(0.228602\pi\)
\(264\) 5.66554 + 6.29865i 0.348690 + 0.387655i
\(265\) −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 −0.987663 0.156594i \(-0.949948\pi\)
0.629446 + 0.777044i \(0.283282\pi\)
\(270\) −9.87732 + 6.11871i −0.601114 + 0.372373i
\(271\) 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
\(275\) −19.2000 15.1477i −1.15781 0.913443i
\(276\) 2.91426 0.617899i 0.175418 0.0371931i
\(277\) 6.18038i 0.371343i 0.982612 + 0.185671i \(0.0594460\pi\)
−0.982612 + 0.185671i \(0.940554\pi\)
\(278\) 22.0353i 1.32159i
\(279\) 19.2583 + 2.04391i 1.15296 + 0.122365i
\(280\) −2.37856 + 1.15313i −0.142146 + 0.0689130i
\(281\) 10.3319 + 17.8954i 0.616352 + 1.06755i 0.990146 + 0.140041i \(0.0447234\pi\)
−0.373794 + 0.927512i \(0.621943\pi\)
\(282\) −0.252446 + 0.227071i −0.0150329 + 0.0135219i
\(283\) 14.3170 + 8.26590i 0.851055 + 0.491357i 0.861007 0.508594i \(-0.169834\pi\)
−0.00995159 + 0.999950i \(0.503168\pi\)
\(284\) −5.98573 −0.355188
\(285\) −15.6167 6.41237i −0.925054 0.379836i
\(286\) −6.09250 −0.360257
\(287\) 12.4627 + 7.19537i 0.735652 + 0.424729i
\(288\) 1.21743 + 2.74187i 0.0717375 + 0.161566i
\(289\) 8.29666 + 14.3702i 0.488039 + 0.845309i
\(290\) 3.78785 + 7.81316i 0.222430 + 0.458805i
\(291\) −0.479655 + 0.101699i −0.0281178 + 0.00596171i
\(292\) 9.47248i 0.554335i
\(293\) 0.128937i 0.00753260i 0.999993 + 0.00376630i \(0.00119885\pi\)
−0.999993 + 0.00376630i \(0.998801\pi\)
\(294\) 2.01273 + 9.49287i 0.117385 + 0.553635i
\(295\) 0.405981 5.61466i 0.0236371 0.326898i
\(296\) 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
\(300\) −4.80503 7.20498i −0.277418 0.415980i
\(301\) −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
\(306\) −0.776362 1.74851i −0.0443816 0.0999559i
\(307\) 10.9073 18.8920i 0.622514 1.07823i −0.366502 0.930417i \(-0.619445\pi\)
0.989016 0.147808i \(-0.0472218\pi\)
\(308\) −2.89104 5.00743i −0.164732 0.285325i
\(309\) −5.66353 6.29641i −0.322187 0.358190i
\(310\) −1.04103 + 14.3973i −0.0591267 + 0.817713i
\(311\) 26.0604i 1.47775i −0.673844 0.738874i \(-0.735358\pi\)
0.673844 0.738874i \(-0.264642\pi\)
\(312\) −2.05152 0.667731i −0.116144 0.0378028i
\(313\) −29.2035 + 16.8606i −1.65068 + 0.953019i −0.673884 + 0.738837i \(0.735375\pi\)
−0.976794 + 0.214182i \(0.931291\pi\)
\(314\) −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 \(0.135627\pi\)
\(318\) −2.10516 2.34040i −0.118051 0.131243i
\(319\) −16.4485 + 9.49657i −0.920941 + 0.531706i
\(320\) −2.01208 + 0.975465i −0.112479 + 0.0545301i
\(321\) 5.43904 4.89233i 0.303577 0.273063i
\(322\) −2.03322 −0.113307
\(323\) 1.39651 2.40343i 0.0777041 0.133731i
\(324\) −2.76376 8.56514i −0.153542 0.475841i
\(325\) 6.16324 + 0.895981i 0.341875 + 0.0497001i
\(326\) −5.49446 + 9.51668i −0.304310 + 0.527080i
\(327\) −2.50679 11.8230i −0.138626 0.653814i
\(328\) 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
\(333\) 3.06118 28.8433i 0.167752 1.58061i
\(334\) 15.2379 0.833782
\(335\) −9.89307 6.70711i −0.540516 0.366449i
\(336\) −0.424687 2.00300i −0.0231686 0.109272i
\(337\) 9.45399 16.3748i 0.514992 0.891992i −0.484857 0.874593i \(-0.661128\pi\)
0.999849 0.0173983i \(-0.00553834\pi\)
\(338\) −9.91466 + 5.72423i −0.539287 + 0.311357i
\(339\) 3.17627 2.85701i 0.172512 0.155172i
\(340\) 1.28312 0.622061i 0.0695869 0.0337360i
\(341\) −31.5751 −1.70989
\(342\) 7.72628 10.5501i 0.417790 0.570484i
\(343\) 14.8980i 0.804414i
\(344\) −5.38171 + 9.32139i −0.290162 + 0.502576i
\(345\) −0.908102 6.59916i −0.0488906 0.355287i
\(346\) −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 \(0.981141\pi\)
\(348\) −6.57951 + 1.39503i −0.352699 + 0.0747812i
\(349\) −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
\(351\) 5.90878 + 2.64155i 0.315387 + 0.140996i
\(352\) −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
\(355\) −0.965278 + 13.3496i −0.0512317 + 0.708525i
\(356\) 2.46445 4.26855i 0.130615 0.226233i
\(357\) 0.270826 + 1.27733i 0.0143336 + 0.0676033i
\(358\) −6.29338 3.63348i −0.332615 0.192036i
\(359\) 5.49798 + 3.17426i 0.290172 + 0.167531i 0.638020 0.770020i \(-0.279754\pi\)
−0.347847 + 0.937551i \(0.613087\pi\)
\(360\) 6.31138 2.27299i 0.332639 0.119797i
\(361\) 18.9997 + 0.105261i 0.999985 + 0.00554007i
\(362\) 7.06431 0.371292
\(363\) 14.9698 + 16.6427i 0.785713 + 0.873514i
\(364\) 1.27520 + 0.736240i 0.0668389 + 0.0385894i
\(365\) 21.1260 + 1.52756i 1.10578 + 0.0799563i
\(366\) 14.7153 13.2362i 0.769182 0.691867i
\(367\) −7.41907 + 4.28340i −0.387272 + 0.223592i −0.680978 0.732304i \(-0.738445\pi\)
0.293705 + 0.955896i \(0.405112\pi\)
\(368\) −1.71995 −0.0896587
\(369\) −29.5238 21.4961i −1.53695 1.11904i
\(370\) 21.5630 + 1.55917i 1.12101 + 0.0810571i
\(371\) 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 \(-0.166810\pi\)
0.865800 + 0.500390i \(0.166810\pi\)
\(374\) 1.55958 + 2.70127i 0.0806438 + 0.139679i
\(375\) −16.8437 + 9.55449i −0.869807 + 0.493392i
\(376\) 0.169772 0.0980180i 0.00875533 0.00505489i
\(377\) 2.41842 4.18883i 0.124555 0.215736i
\(378\) 0.632766 + 6.10990i 0.0325460 + 0.314259i
\(379\) 6.73402i 0.345903i 0.984930 + 0.172952i \(0.0553305\pi\)
−0.984930 + 0.172952i \(0.944670\pi\)
\(380\) 8.05234 + 5.49179i 0.413077 + 0.281723i
\(381\) 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 \(-0.703379\pi\)
\(384\) −0.359253 1.69438i −0.0183331 0.0864662i
\(385\) −11.6340 + 5.64021i −0.592924 + 0.287452i
\(386\) 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 −0.794902 0.606738i \(-0.792478\pi\)
0.127999 + 0.991774i \(0.459144\pi\)
\(390\) −1.82004 + 4.46771i −0.0921613 + 0.226231i
\(391\) 1.09683 0.0554689
\(392\) 5.60255i 0.282971i
\(393\) 5.08538 + 23.9847i 0.256523 + 1.20987i
\(394\) −18.0388 10.4147i −0.908781 0.524685i
\(395\) 17.3664 + 1.25572i 0.873800 + 0.0631822i
\(396\) 5.95467 + 13.4110i 0.299233 + 0.673931i
\(397\) −10.6507 6.14920i −0.534545 0.308620i 0.208320 0.978061i \(-0.433200\pi\)
−0.742865 + 0.669441i \(0.766534\pi\)
\(398\) 10.7493i 0.538813i
\(399\) −6.65207 + 5.95019i −0.333020 + 0.297882i
\(400\) 1.85105 + 4.64474i 0.0925525 + 0.232237i
\(401\) 11.5605 20.0234i 0.577304 0.999920i −0.418483 0.908225i \(-0.637438\pi\)
0.995787 0.0916957i \(-0.0292287\pi\)
\(402\) 6.88335 6.19147i 0.343310 0.308803i
\(403\) 6.96370 4.02050i 0.346887 0.200275i
\(404\) 14.0883 + 8.13386i 0.700917 + 0.404675i
\(405\) −19.5481 + 4.78262i −0.971351 + 0.237650i
\(406\) 4.59039 0.227817
\(407\) 47.2903i 2.34409i
\(408\) 0.229098 + 1.08052i 0.0113421 + 0.0534938i
\(409\) −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
\(414\) 5.13104 + 0.544564i 0.252177 + 0.0267638i
\(415\) 16.5217 8.00980i 0.811020 0.393185i
\(416\) 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 \(0.386714\pi\)
−0.348433 + 0.937334i \(0.613286\pi\)
\(420\) −4.53566 + 0.624147i −0.221318 + 0.0304552i
\(421\) 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
\(423\) −0.537506 + 0.238659i −0.0261344 + 0.0116040i
\(424\) 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 0.915904 0.401397i \(-0.131475\pi\)
−0.805572 + 0.592498i \(0.798142\pi\)
\(432\) 0.535272 + 5.16851i 0.0257533 + 0.248670i
\(433\) 2.72960 + 4.72781i 0.131176 + 0.227204i 0.924130 0.382077i \(-0.124791\pi\)
−0.792954 + 0.609282i \(0.791458\pi\)
\(434\) 6.60888 + 3.81564i 0.317237 + 0.183157i
\(435\) 2.05022 + 14.8989i 0.0983003 + 0.714346i
\(436\) 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 \(0.862465\pi\)
\(440\) −9.84148 + 4.77119i −0.469174 + 0.227458i
\(441\) −1.77385 + 16.7138i −0.0844692 + 0.795894i
\(442\) −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
\(447\) −1.90539 8.98661i −0.0901221 0.425052i
\(448\) 1.18214i 0.0558508i
\(449\) 5.69376 0.268705 0.134352 0.990934i \(-0.457105\pi\)
0.134352 + 0.990934i \(0.457105\pi\)
\(450\) −4.05154 14.4425i −0.190991 0.680825i
\(451\) 51.5656 + 29.7714i 2.42813 + 1.40188i
\(452\) −2.13607 + 1.23326i −0.100472 + 0.0580078i
\(453\) −25.3315 + 22.7853i −1.19018 + 1.07055i
\(454\) −9.81525 + 17.0005i −0.460653 + 0.797874i
\(455\) 1.84764 2.72529i 0.0866186 0.127764i
\(456\) −5.62715 + 5.03341i −0.263515 + 0.235711i
\(457\) 39.4920i 1.84736i 0.383166 + 0.923680i \(0.374834\pi\)
−0.383166 + 0.923680i \(0.625166\pi\)
\(458\) 8.76529 + 5.06064i 0.409575 + 0.236468i
\(459\) −0.341347 3.29600i −0.0159327 0.153844i
\(460\) −0.277365 + 3.83592i −0.0129322 + 0.178851i
\(461\) −12.3322 7.12002i −0.574370 0.331612i 0.184523 0.982828i \(-0.440926\pi\)
−0.758893 + 0.651216i \(0.774259\pi\)
\(462\) −2.07723 9.79706i −0.0966415 0.455800i
\(463\) 6.96999i 0.323923i 0.986797 + 0.161961i \(0.0517820\pi\)
−0.986797 + 0.161961i \(0.948218\pi\)
\(464\) 3.88313 0.180270
\(465\) −9.43255 + 23.1544i −0.437424 + 1.07376i
\(466\) −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
\(470\) −0.191226 0.394440i −0.00882060 0.0181942i
\(471\) −5.26077 24.8119i −0.242404 1.14327i
\(472\) −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
\(475\) 13.5466 17.0731i 0.621560 0.783367i
\(476\) 0.753859i 0.0345531i
\(477\) −2.21259 4.98317i −0.101307 0.228164i
\(478\) −1.17962 + 2.04316i −0.0539546 + 0.0934521i
\(479\) 17.0678 9.85408i 0.779846 0.450244i −0.0565295 0.998401i \(-0.518004\pi\)
0.836376 + 0.548156i \(0.184670\pi\)
\(480\) −3.83683 + 0.527981i −0.175126 + 0.0240989i
\(481\) −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
\(485\) 0.0456512 0.631349i 0.00207291 0.0286681i
\(486\) 0.0395809 15.5884i 0.00179543 0.707105i
\(487\) 24.8549 1.12628 0.563141 0.826361i \(-0.309593\pi\)
0.563141 + 0.826361i \(0.309593\pi\)
\(488\) −9.89618 + 5.71356i −0.447979 + 0.258641i
\(489\) −14.1510 + 12.7286i −0.639931 + 0.575608i
\(490\) −12.4951 0.903485i −0.564469 0.0408153i
\(491\) 30.4914 + 17.6042i 1.37606 + 0.794466i 0.991682 0.128711i \(-0.0410840\pi\)
0.384374 + 0.923178i \(0.374417\pi\)
\(492\) 14.1007 + 15.6764i 0.635709 + 0.706747i
\(493\) −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
\(498\) 2.94992 + 13.9130i 0.132189 + 0.623458i
\(499\) −8.51263 + 14.7443i −0.381078 + 0.660046i −0.991217 0.132249i \(-0.957780\pi\)
0.610139 + 0.792294i \(0.291114\pi\)
\(500\) 10.6574 3.37927i 0.476614 0.151126i
\(501\) 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 \(0.848532\pi\)
\(504\) 0.374284 3.52661i 0.0166719 0.157088i
\(505\) 20.4124 30.1086i 0.908341 1.33981i
\(506\) −8.41263 −0.373987
\(507\) −19.3981 + 4.11290i −0.861500 + 0.182660i
\(508\) −3.48711 + 6.03986i −0.154716 + 0.267975i
\(509\) 3.12831 + 5.41839i 0.138660 + 0.240166i 0.926990 0.375087i \(-0.122387\pi\)
−0.788330 + 0.615253i \(0.789054\pi\)
\(510\) 2.44677 0.336697i 0.108345 0.0149092i
\(511\) 5.59889 9.69757i 0.247681 0.428995i
\(512\) 1.00000i 0.0441942i
\(513\) 18.3808 13.2342i 0.811533 0.584306i
\(514\) −17.5534 −0.774246
\(515\) 9.83798 4.76949i 0.433513 0.210169i
\(516\) −13.8606 + 12.4674i −0.610180 + 0.548847i
\(517\) 0.830389 0.479425i 0.0365205 0.0210851i
\(518\) 5.71472 9.89819i 0.251091 0.434902i
\(519\) −8.44401 39.8254i −0.370651 1.74814i
\(520\) 1.56296 2.30539i 0.0685404 0.101098i
\(521\) 37.8562 1.65851 0.829254 0.558872i \(-0.188766\pi\)
0.829254 + 0.558872i \(0.188766\pi\)
\(522\) −11.5843 1.22946i −0.507032 0.0538119i
\(523\) 11.1609 + 19.3312i 0.488030 + 0.845293i 0.999905 0.0137667i \(-0.00438221\pi\)
−0.511875 + 0.859060i \(0.671049\pi\)
\(524\) 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
\(528\) −1.75718 8.28757i −0.0764714 0.360670i
\(529\) 10.0209 17.3567i 0.435690 0.754638i
\(530\) 3.65682 1.77284i 0.158842 0.0770073i
\(531\) 6.10560 + 4.44546i 0.264961 + 0.192917i
\(532\) 4.46960 2.56404i 0.193782 0.111165i
\(533\) −15.1633 −0.656797
\(534\) 6.34720 5.70921i 0.274670 0.247062i
\(535\) 4.12003 + 8.49835i 0.178125 + 0.367416i
\(536\) −4.62912 + 2.67262i −0.199947 + 0.115440i
\(537\) −8.41743 9.35806i −0.363239 0.403830i
\(538\) 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
\(545\) 15.5621 + 1.12526i 0.666609 + 0.0482008i
\(546\) 1.70559 + 1.89619i 0.0729927 + 0.0811494i
\(547\) 7.03497 + 12.1849i 0.300794 + 0.520990i 0.976316 0.216350i \(-0.0694151\pi\)
−0.675522 + 0.737340i \(0.736082\pi\)
\(548\) −6.51986 + 11.2927i −0.278515 + 0.482401i
\(549\) 31.3317 13.9117i 1.33721 0.593736i
\(550\) 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
\(555\) 34.6786 + 14.1272i 1.47202 + 0.599667i
\(556\) −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
\(560\) 2.63646 + 0.190636i 0.111411 + 0.00805583i
\(561\) 1.12057 + 5.28504i 0.0473103 + 0.223135i
\(562\) 20.6639i 0.871653i
\(563\) 24.1695i 1.01862i 0.860582 + 0.509311i \(0.170100\pi\)
−0.860582 + 0.509311i \(0.829900\pi\)
\(564\) 0.332160 0.0704266i 0.0139865 0.00296549i
\(565\) 2.40601 + 4.96285i 0.101221 + 0.208789i
\(566\) −8.26590 14.3170i −0.347442 0.601787i
\(567\) −2.23316 + 10.4022i −0.0937839 + 0.436853i
\(568\) 5.18379 + 2.99286i 0.217507 + 0.125578i
\(569\) −7.88191 −0.330427 −0.165213 0.986258i \(-0.552831\pi\)
−0.165213 + 0.986258i \(0.552831\pi\)
\(570\) 10.3183 + 13.3616i 0.432185 + 0.559657i
\(571\) −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
\(573\) 9.67146 8.69933i 0.404031 0.363420i
\(574\) −7.19537 12.4627i −0.300329 0.520185i
\(575\) 8.51031 + 1.23719i 0.354904 + 0.0515942i
\(576\) 0.316615 2.98325i 0.0131923 0.124302i
\(577\) 41.8771i 1.74337i −0.490070 0.871683i \(-0.663029\pi\)
0.490070 0.871683i \(-0.336971\pi\)
\(578\) 16.5933i 0.690192i
\(579\) 17.6340 3.73886i 0.732844 0.155382i
\(580\) 0.626206 8.66032i 0.0260018 0.359600i
\(581\) 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
\(585\) −5.39262 + 6.38268i −0.222957 + 0.263891i
\(586\) 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
\(591\) −24.1270 26.8231i −0.992452 1.10336i
\(592\) 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 \(0.677755\pi\)
\(594\) 2.61812 + 25.2802i 0.107423 + 1.03726i
\(595\) −1.68129 0.121570i −0.0689262 0.00498388i
\(596\) 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 0.986426 0.164206i \(-0.0525061\pi\)
−0.635419 + 0.772167i \(0.719173\pi\)
\(600\) 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
\(603\) 14.6560 6.50744i 0.596838 0.265003i
\(604\) 17.0356 9.83554i 0.693171 0.400202i
\(605\) −26.0038 + 12.6067i −1.05720 + 0.512536i
\(606\) 18.8431 + 20.9488i 0.765450 + 0.850987i
\(607\) −42.2621 −1.71537 −0.857683 0.514179i \(-0.828097\pi\)
−0.857683 + 0.514179i \(0.828097\pi\)
\(608\) 3.78094 2.16898i 0.153337 0.0879639i
\(609\) 7.56041 + 2.46077i 0.306363 + 0.0997155i
\(610\) 11.1468 + 22.9923i 0.451319 + 0.930931i
\(611\) −0.122092 + 0.211469i −0.00493930 + 0.00855513i
\(612\) −0.201908 + 1.90244i −0.00816165 + 0.0769015i
\(613\) −23.5979 13.6243i −0.953111 0.550279i −0.0590647 0.998254i \(-0.518812\pi\)
−0.894046 + 0.447976i \(0.852145\pi\)
\(614\) −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 \(0.783572\pi\)
\(618\) 1.75655 + 8.28462i 0.0706589 + 0.333256i
\(619\) −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
\(621\) 8.15893 + 3.64750i 0.327407 + 0.146369i
\(622\) −13.0302 + 22.5689i −0.522463 + 0.904932i
\(623\) −5.04602 + 2.91332i −0.202164 + 0.116720i
\(624\) 1.44280 + 1.60403i 0.0577584 + 0.0642127i
\(625\) −5.81795 24.3136i −0.232718 0.972544i
\(626\) 33.7213 1.34777
\(627\) −27.5235 + 24.6194i −1.09918 + 0.983204i
\(628\) 14.6436i 0.584345i
\(629\) −3.08282 + 5.33960i −0.122920 + 0.212904i
\(630\) −7.80485 1.40346i −0.310953 0.0559151i
\(631\) −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
\(633\) 1.36795 + 6.45180i 0.0543710 + 0.256436i
\(634\) −20.7223 −0.822989
\(635\) 12.9080 + 8.75113i 0.512239 + 0.347278i
\(636\) 0.652918 + 3.07943i 0.0258899 + 0.122107i
\(637\) 3.48928 + 6.04361i 0.138250 + 0.239457i
\(638\) 18.9931 0.751945
\(639\) −14.5169 10.5697i −0.574281 0.418132i
\(640\) 2.23025 + 0.161263i 0.0881582 + 0.00637449i
\(641\) 1.93279 3.34770i 0.0763407 0.132226i −0.825328 0.564654i \(-0.809010\pi\)
0.901669 + 0.432428i \(0.142343\pi\)
\(642\) −7.15651 + 1.51736i −0.282445 + 0.0598856i
\(643\) −21.2850 12.2889i −0.839399 0.484628i 0.0176606 0.999844i \(-0.494378\pi\)
−0.857060 + 0.515217i \(0.827712\pi\)
\(644\) 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 \(0.825502\pi\)
\(648\) −1.88908 + 8.79951i −0.0742102 + 0.345677i
\(649\) −10.6639 6.15681i −0.418595 0.241676i
\(650\) −4.88953 3.85756i −0.191783 0.151306i
\(651\) 8.83942 + 9.82721i 0.346444 + 0.385159i
\(652\) 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
\(655\) −31.5700 2.28275i −1.23354 0.0891944i
\(656\) −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 0.778897 0.627152i \(-0.215780\pi\)
−0.932578 + 0.360968i \(0.882446\pi\)
\(660\) −18.7667 + 2.58246i −0.730492 + 0.100522i
\(661\) 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
\(663\) −0.920086 1.02290i −0.0357332 0.0397263i
\(664\) 8.21126i 0.318659i
\(665\) −4.99766 10.3818i −0.193801 0.402588i
\(666\) −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
\(669\) −5.89170 + 1.24919i −0.227786 + 0.0482966i
\(670\) 5.21410 + 10.7551i 0.201438 + 0.415504i
\(671\) −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 \(-0.452003\pi\)
0.150216 + 0.988653i \(0.452003\pi\)
\(674\) −16.3748 + 9.45399i −0.630733 + 0.364154i
\(675\) 1.06926 25.9587i 0.0411557 0.999153i
\(676\) 11.4485 0.440326
\(677\) 31.7619i 1.22071i −0.792128 0.610355i \(-0.791027\pi\)
0.792128 0.610355i \(-0.208973\pi\)
\(678\) −4.17924 + 0.886107i −0.160503 + 0.0340307i
\(679\) −0.289812 0.167323i −0.0111220 0.00642126i
\(680\) −1.42224 0.102839i −0.0545406 0.00394369i
\(681\) −25.2792 + 22.7383i −0.968703 + 0.871333i
\(682\) 27.3448 + 15.7875i 1.04709 + 0.604536i
\(683\) 40.8203i 1.56194i −0.624566 0.780972i \(-0.714724\pi\)
0.624566 0.780972i \(-0.285276\pi\)
\(684\) −11.9662 + 5.27351i −0.457539 + 0.201638i
\(685\) 24.1341 + 16.3620i 0.922118 + 0.625159i
\(686\) −7.44898 + 12.9020i −0.284403 + 0.492601i
\(687\) 11.7236 + 13.0337i 0.447285 + 0.497267i
\(688\) 9.32139 5.38171i 0.355375 0.205176i
\(689\) −1.96051 1.13190i −0.0746896 0.0431220i
\(690\) −2.51314 + 6.16909i −0.0956736 + 0.234853i
\(691\) −0.368227 −0.0140080 −0.00700400 0.999975i \(-0.502229\pi\)
−0.00700400 + 0.999975i \(0.502229\pi\)
\(692\) 23.5044i 0.893501i
\(693\) 1.83069 17.2494i 0.0695423 0.655249i
\(694\) 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
\(699\) −21.0729 + 4.46800i −0.797051 + 0.168995i
\(700\) 0.850329 5.84921i 0.0321394 0.221079i
\(701\) 22.0697 + 12.7420i 0.833563 + 0.481258i 0.855071 0.518511i \(-0.173513\pi\)
−0.0215082 + 0.999769i \(0.506847\pi\)
\(702\) −3.79637 5.24204i −0.143285 0.197848i
\(703\) −42.1436 0.116740i −1.58948 0.00440294i
\(704\) 4.89120i 0.184344i
\(705\) −0.103503 0.752156i −0.00389816 0.0283278i
\(706\) −5.75533 3.32284i −0.216605 0.125057i
\(707\) −9.61536 16.6543i −0.361623 0.626349i
\(708\) −2.91606 3.24193i −0.109592 0.121839i
\(709\) −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
\(717\) −3.03812 + 2.73274i −0.113461 + 0.102056i
\(718\) −3.17426 5.49798i −0.118462 0.205183i
\(719\) −32.4837 18.7545i −1.21144 0.699424i −0.248365 0.968666i \(-0.579893\pi\)
−0.963072 + 0.269242i \(0.913227\pi\)
\(720\) −6.60231 1.18722i −0.246054 0.0442450i
\(721\) 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
\(725\) −19.2137 2.79318i −0.713577 0.103736i
\(726\) −4.64292 21.8979i −0.172315 0.812708i
\(727\) 33.2590 + 19.2021i 1.23351 + 0.712166i 0.967760 0.251876i \(-0.0810475\pi\)
0.265749 + 0.964042i \(0.414381\pi\)
\(728\) −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
\(732\) −19.3619 + 4.10523i −0.715638 + 0.151734i
\(733\) 11.6754i 0.431241i 0.976477 + 0.215621i \(0.0691775\pi\)
−0.976477 + 0.215621i \(0.930823\pi\)
\(734\) 8.56680 0.316206
\(735\) −20.0951 8.18626i −0.741219 0.301955i
\(736\) 1.48952 + 0.859976i 0.0549045 + 0.0316992i
\(737\) −22.6419 + 13.0723i −0.834026 + 0.481525i
\(738\) 14.8203 + 33.3781i 0.545542 + 1.22867i
\(739\) 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
\(741\) 2.93533 8.93427i 0.107832 0.328209i
\(742\) 2.14846i 0.0788724i
\(743\) 11.3898 + 6.57588i 0.417850 + 0.241246i 0.694157 0.719824i \(-0.255777\pi\)
−0.276307 + 0.961069i \(0.589111\pi\)
\(744\) 7.47748 + 8.31307i 0.274138 + 0.304772i
\(745\) 11.8287 + 0.855303i 0.433370 + 0.0313359i
\(746\) −28.9623 16.7214i −1.06038 0.612213i
\(747\) −2.59981 + 24.4962i −0.0951222 + 0.896270i
\(748\) 3.11915i 0.114048i
\(749\) 4.99296 0.182439
\(750\) 19.3644 + 0.147439i 0.707086 + 0.00538370i
\(751\) −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
\(755\) −19.1884 39.5798i −0.698339 1.44046i
\(756\) 2.50696 5.60771i 0.0911771 0.203950i
\(757\) −20.7846 12.0000i −0.755430 0.436148i 0.0722226 0.997389i \(-0.476991\pi\)
−0.827653 + 0.561241i \(0.810324\pi\)
\(758\) 3.36701 5.83183i 0.122295 0.211822i
\(759\) −13.8557 4.50976i −0.502928 0.163694i
\(760\) −4.22764 8.78220i −0.153353 0.318564i
\(761\) 37.9550i 1.37587i 0.725773 + 0.687935i \(0.241482\pi\)
−0.725773 + 0.687935i \(0.758518\pi\)
\(762\) −8.98108 + 8.07835i −0.325350 + 0.292648i
\(763\) 4.12435 7.14358i 0.149311 0.258615i
\(764\) −6.50414 + 3.75517i −0.235312 + 0.135857i
\(765\) 4.21034 + 0.757098i 0.152225 + 0.0273729i
\(766\) 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 \(0.891345\pi\)
\(770\) 12.8954 + 0.932437i 0.464720 + 0.0336027i
\(771\) −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 \(0.256058\pi\)
\(774\) −29.5119 + 13.1037i −1.06078 + 0.471001i
\(775\) −25.3405 19.9922i −0.910259 0.718142i