Properties

Label 585.2.bt.b.376.10
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.10
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.10

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.71151 - 0.988142i) q^{2} +(1.03985 + 1.38517i) q^{3} +(0.952848 + 1.65038i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.410976 - 3.39826i) q^{6} +(-1.22619 - 0.707941i) q^{7} +0.186373i q^{8} +(-0.837406 + 2.88076i) q^{9} +O(q^{10})\) \(q+(-1.71151 - 0.988142i) q^{2} +(1.03985 + 1.38517i) q^{3} +(0.952848 + 1.65038i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(-0.410976 - 3.39826i) q^{6} +(-1.22619 - 0.707941i) q^{7} +0.186373i q^{8} +(-0.837406 + 2.88076i) q^{9} +1.97628 q^{10} +(-2.00421 - 1.15713i) q^{11} +(-1.29524 + 3.03601i) q^{12} +(-0.495342 - 3.57136i) q^{13} +(1.39909 + 2.42330i) q^{14} +(-1.59313 - 0.679667i) q^{15} +(2.08986 - 3.61974i) q^{16} -3.18319 q^{17} +(4.27982 - 4.10297i) q^{18} -0.980755i q^{19} +(-1.65038 - 0.952848i) q^{20} +(-0.294438 - 2.43464i) q^{21} +(2.28682 + 3.96088i) q^{22} +(-1.24305 - 2.15303i) q^{23} +(-0.258158 + 0.193800i) q^{24} +(0.500000 - 0.866025i) q^{25} +(-2.68123 + 6.60190i) q^{26} +(-4.86112 + 1.83562i) q^{27} -2.69824i q^{28} +(1.49087 - 2.58226i) q^{29} +(2.05505 + 2.73749i) q^{30} +(5.20727 - 3.00642i) q^{31} +(-6.83082 + 3.94378i) q^{32} +(-0.481260 - 3.97942i) q^{33} +(5.44807 + 3.14544i) q^{34} +1.41588 q^{35} +(-5.55226 + 1.36288i) q^{36} -3.28027i q^{37} +(-0.969125 + 1.67857i) q^{38} +(4.43187 - 4.39983i) q^{39} +(-0.0931864 - 0.161403i) q^{40} +(2.06830 - 1.19413i) q^{41} +(-1.90183 + 4.45786i) q^{42} +(4.60358 - 7.97363i) q^{43} -4.41028i q^{44} +(-0.715163 - 2.91351i) q^{45} +4.91325i q^{46} +(-5.30466 - 3.06265i) q^{47} +(7.18711 - 0.869189i) q^{48} +(-2.49764 - 4.32604i) q^{49} +(-1.71151 + 0.988142i) q^{50} +(-3.31006 - 4.40927i) q^{51} +(5.42212 - 4.22047i) q^{52} -9.53923 q^{53} +(10.1337 + 1.66180i) q^{54} +2.31426 q^{55} +(0.131941 - 0.228528i) q^{56} +(1.35851 - 1.01984i) q^{57} +(-5.10327 + 2.94638i) q^{58} +(1.50962 - 0.871582i) q^{59} +(-0.396297 - 3.27688i) q^{60} +(-2.11267 + 3.65926i) q^{61} -11.8831 q^{62} +(3.06622 - 2.93952i) q^{63} +7.22861 q^{64} +(2.21466 + 2.84522i) q^{65} +(-3.10855 + 7.28638i) q^{66} +(-11.5912 + 6.69216i) q^{67} +(-3.03310 - 5.25348i) q^{68} +(1.68972 - 3.96068i) q^{69} +(-2.42330 - 1.39909i) q^{70} -0.496012i q^{71} +(-0.536894 - 0.156070i) q^{72} +12.1586i q^{73} +(-3.24137 + 5.61422i) q^{74} +(1.71952 - 0.207954i) q^{75} +(1.61862 - 0.934510i) q^{76} +(1.63836 + 2.83772i) q^{77} +(-11.9329 + 3.15105i) q^{78} +(-2.20379 + 3.81708i) q^{79} +4.17972i q^{80} +(-7.59750 - 4.82472i) q^{81} -4.71989 q^{82} +(-6.14947 - 3.55040i) q^{83} +(3.73752 - 2.80577i) q^{84} +(2.75672 - 1.59160i) q^{85} +(-15.7582 + 9.09797i) q^{86} +(5.12716 - 0.620064i) q^{87} +(0.215658 - 0.373530i) q^{88} -9.63808i q^{89} +(-1.65495 + 5.69319i) q^{90} +(-1.92093 + 4.72984i) q^{91} +(2.36888 - 4.10302i) q^{92} +(9.57921 + 4.08673i) q^{93} +(6.05266 + 10.4835i) q^{94} +(0.490377 + 0.849359i) q^{95} +(-12.5659 - 5.36091i) q^{96} +(-10.4990 - 6.06159i) q^{97} +9.87209i q^{98} +(5.01175 - 4.80465i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.71151 0.988142i −1.21022 0.698722i −0.247414 0.968910i \(-0.579581\pi\)
−0.962808 + 0.270188i \(0.912914\pi\)
\(3\) 1.03985 + 1.38517i 0.600360 + 0.799730i
\(4\) 0.952848 + 1.65038i 0.476424 + 0.825190i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) −0.410976 3.39826i −0.167780 1.38733i
\(7\) −1.22619 0.707941i −0.463456 0.267576i 0.250040 0.968235i \(-0.419556\pi\)
−0.713496 + 0.700659i \(0.752889\pi\)
\(8\) 0.186373i 0.0658927i
\(9\) −0.837406 + 2.88076i −0.279135 + 0.960252i
\(10\) 1.97628 0.624956
\(11\) −2.00421 1.15713i −0.604292 0.348888i 0.166436 0.986052i \(-0.446774\pi\)
−0.770728 + 0.637164i \(0.780107\pi\)
\(12\) −1.29524 + 3.03601i −0.373903 + 0.876422i
\(13\) −0.495342 3.57136i −0.137383 0.990518i
\(14\) 1.39909 + 2.42330i 0.373923 + 0.647653i
\(15\) −1.59313 0.679667i −0.411344 0.175489i
\(16\) 2.08986 3.61974i 0.522464 0.904935i
\(17\) −3.18319 −0.772037 −0.386019 0.922491i \(-0.626150\pi\)
−0.386019 + 0.922491i \(0.626150\pi\)
\(18\) 4.27982 4.10297i 1.00876 0.967079i
\(19\) 0.980755i 0.225001i −0.993652 0.112500i \(-0.964114\pi\)
0.993652 0.112500i \(-0.0358859\pi\)
\(20\) −1.65038 0.952848i −0.369036 0.213063i
\(21\) −0.294438 2.43464i −0.0642517 0.531282i
\(22\) 2.28682 + 3.96088i 0.487551 + 0.844463i
\(23\) −1.24305 2.15303i −0.259194 0.448938i 0.706832 0.707381i \(-0.250124\pi\)
−0.966026 + 0.258444i \(0.916790\pi\)
\(24\) −0.258158 + 0.193800i −0.0526964 + 0.0395594i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) −2.68123 + 6.60190i −0.525832 + 1.29474i
\(27\) −4.86112 + 1.83562i −0.935524 + 0.353264i
\(28\) 2.69824i 0.509919i
\(29\) 1.49087 2.58226i 0.276847 0.479513i −0.693752 0.720214i \(-0.744044\pi\)
0.970599 + 0.240700i \(0.0773771\pi\)
\(30\) 2.05505 + 2.73749i 0.375199 + 0.499796i
\(31\) 5.20727 3.00642i 0.935254 0.539969i 0.0467843 0.998905i \(-0.485103\pi\)
0.888469 + 0.458936i \(0.151769\pi\)
\(32\) −6.83082 + 3.94378i −1.20753 + 0.697168i
\(33\) −0.481260 3.97942i −0.0837766 0.692729i
\(34\) 5.44807 + 3.14544i 0.934336 + 0.539439i
\(35\) 1.41588 0.239328
\(36\) −5.55226 + 1.36288i −0.925377 + 0.227147i
\(37\) 3.28027i 0.539273i −0.962962 0.269636i \(-0.913096\pi\)
0.962962 0.269636i \(-0.0869035\pi\)
\(38\) −0.969125 + 1.67857i −0.157213 + 0.272301i
\(39\) 4.43187 4.39983i 0.709667 0.704537i
\(40\) −0.0931864 0.161403i −0.0147341 0.0255201i
\(41\) 2.06830 1.19413i 0.323014 0.186492i −0.329721 0.944078i \(-0.606955\pi\)
0.652735 + 0.757586i \(0.273621\pi\)
\(42\) −1.90183 + 4.45786i −0.293459 + 0.687862i
\(43\) 4.60358 7.97363i 0.702039 1.21597i −0.265711 0.964053i \(-0.585607\pi\)
0.967750 0.251914i \(-0.0810601\pi\)
\(44\) 4.41028i 0.664874i
\(45\) −0.715163 2.91351i −0.106610 0.434320i
\(46\) 4.91325i 0.724419i
\(47\) −5.30466 3.06265i −0.773765 0.446733i 0.0604513 0.998171i \(-0.480746\pi\)
−0.834216 + 0.551438i \(0.814079\pi\)
\(48\) 7.18711 0.869189i 1.03737 0.125457i
\(49\) −2.49764 4.32604i −0.356806 0.618006i
\(50\) −1.71151 + 0.988142i −0.242044 + 0.139744i
\(51\) −3.31006 4.40927i −0.463501 0.617421i
\(52\) 5.42212 4.22047i 0.751913 0.585274i
\(53\) −9.53923 −1.31031 −0.655157 0.755493i \(-0.727397\pi\)
−0.655157 + 0.755493i \(0.727397\pi\)
\(54\) 10.1337 + 1.66180i 1.37902 + 0.226143i
\(55\) 2.31426 0.312055
\(56\) 0.131941 0.228528i 0.0176313 0.0305384i
\(57\) 1.35851 1.01984i 0.179940 0.135081i
\(58\) −5.10327 + 2.94638i −0.670093 + 0.386878i
\(59\) 1.50962 0.871582i 0.196536 0.113470i −0.398503 0.917167i \(-0.630470\pi\)
0.595039 + 0.803697i \(0.297137\pi\)
\(60\) −0.396297 3.27688i −0.0511617 0.423044i
\(61\) −2.11267 + 3.65926i −0.270500 + 0.468520i −0.968990 0.247100i \(-0.920522\pi\)
0.698490 + 0.715620i \(0.253856\pi\)
\(62\) −11.8831 −1.50915
\(63\) 3.06622 2.93952i 0.386308 0.370344i
\(64\) 7.22861 0.903577
\(65\) 2.21466 + 2.84522i 0.274695 + 0.352906i
\(66\) −3.10855 + 7.28638i −0.382636 + 0.896891i
\(67\) −11.5912 + 6.69216i −1.41609 + 0.817578i −0.995952 0.0898838i \(-0.971350\pi\)
−0.420134 + 0.907462i \(0.638017\pi\)
\(68\) −3.03310 5.25348i −0.367817 0.637078i
\(69\) 1.68972 3.96068i 0.203419 0.476810i
\(70\) −2.42330 1.39909i −0.289639 0.167223i
\(71\) 0.496012i 0.0588657i −0.999567 0.0294329i \(-0.990630\pi\)
0.999567 0.0294329i \(-0.00937013\pi\)
\(72\) −0.536894 0.156070i −0.0632736 0.0183930i
\(73\) 12.1586i 1.42306i 0.702658 + 0.711528i \(0.251997\pi\)
−0.702658 + 0.711528i \(0.748003\pi\)
\(74\) −3.24137 + 5.61422i −0.376802 + 0.652640i
\(75\) 1.71952 0.207954i 0.198553 0.0240125i
\(76\) 1.61862 0.934510i 0.185668 0.107196i
\(77\) 1.63836 + 2.83772i 0.186708 + 0.323388i
\(78\) −11.9329 + 3.15105i −1.35113 + 0.356786i
\(79\) −2.20379 + 3.81708i −0.247946 + 0.429455i −0.962956 0.269660i \(-0.913089\pi\)
0.715010 + 0.699114i \(0.246422\pi\)
\(80\) 4.17972i 0.467306i
\(81\) −7.59750 4.82472i −0.844167 0.536080i
\(82\) −4.71989 −0.521224
\(83\) −6.14947 3.55040i −0.674992 0.389707i 0.122974 0.992410i \(-0.460757\pi\)
−0.797965 + 0.602703i \(0.794090\pi\)
\(84\) 3.73752 2.80577i 0.407797 0.306135i
\(85\) 2.75672 1.59160i 0.299009 0.172633i
\(86\) −15.7582 + 9.09797i −1.69925 + 0.981060i
\(87\) 5.12716 0.620064i 0.549689 0.0664778i
\(88\) 0.215658 0.373530i 0.0229892 0.0398184i
\(89\) 9.63808i 1.02163i −0.859689 0.510817i \(-0.829343\pi\)
0.859689 0.510817i \(-0.170657\pi\)
\(90\) −1.65495 + 5.69319i −0.174447 + 0.600115i
\(91\) −1.92093 + 4.72984i −0.201368 + 0.495822i
\(92\) 2.36888 4.10302i 0.246973 0.427769i
\(93\) 9.57921 + 4.08673i 0.993318 + 0.423774i
\(94\) 6.05266 + 10.4835i 0.624284 + 1.08129i
\(95\) 0.490377 + 0.849359i 0.0503117 + 0.0871424i
\(96\) −12.5659 5.36091i −1.28250 0.547146i
\(97\) −10.4990 6.06159i −1.06601 0.615461i −0.138921 0.990303i \(-0.544364\pi\)
−0.927089 + 0.374842i \(0.877697\pi\)
\(98\) 9.87209i 0.997232i
\(99\) 5.01175 4.80465i 0.503699 0.482885i
\(100\) 1.90570 0.190570
\(101\) 3.93293 6.81203i 0.391341 0.677822i −0.601286 0.799034i \(-0.705345\pi\)
0.992627 + 0.121212i \(0.0386781\pi\)
\(102\) 1.30822 + 10.8173i 0.129533 + 1.07107i
\(103\) −5.27293 9.13298i −0.519557 0.899899i −0.999742 0.0227315i \(-0.992764\pi\)
0.480185 0.877167i \(-0.340570\pi\)
\(104\) 0.665605 0.0923182i 0.0652679 0.00905254i
\(105\) 1.47231 + 1.96124i 0.143683 + 0.191397i
\(106\) 16.3265 + 9.42611i 1.58577 + 0.915544i
\(107\) −6.08240 −0.588007 −0.294004 0.955804i \(-0.594988\pi\)
−0.294004 + 0.955804i \(0.594988\pi\)
\(108\) −7.66137 6.27364i −0.737216 0.603681i
\(109\) 1.69203i 0.162067i 0.996711 + 0.0810337i \(0.0258221\pi\)
−0.996711 + 0.0810337i \(0.974178\pi\)
\(110\) −3.96088 2.28682i −0.377656 0.218040i
\(111\) 4.54374 3.41100i 0.431273 0.323758i
\(112\) −5.12512 + 2.95899i −0.484278 + 0.279598i
\(113\) 9.66178 + 16.7347i 0.908904 + 1.57427i 0.815589 + 0.578631i \(0.196413\pi\)
0.0933149 + 0.995637i \(0.470254\pi\)
\(114\) −3.33286 + 0.403067i −0.312151 + 0.0377507i
\(115\) 2.15303 + 1.24305i 0.200771 + 0.115915i
\(116\) 5.68228 0.527586
\(117\) 10.7030 + 1.56372i 0.989495 + 0.144566i
\(118\) −3.44499 −0.317137
\(119\) 3.90319 + 2.25351i 0.357805 + 0.206579i
\(120\) 0.126671 0.296915i 0.0115635 0.0271045i
\(121\) −2.82210 4.88802i −0.256554 0.444365i
\(122\) 7.23173 4.17524i 0.654730 0.378008i
\(123\) 3.80481 + 1.62322i 0.343068 + 0.146361i
\(124\) 9.92347 + 5.72932i 0.891154 + 0.514508i
\(125\) 1.00000i 0.0894427i
\(126\) −8.15253 + 2.00116i −0.726285 + 0.178277i
\(127\) 7.92398 0.703139 0.351570 0.936162i \(-0.385648\pi\)
0.351570 + 0.936162i \(0.385648\pi\)
\(128\) 1.28979 + 0.744662i 0.114003 + 0.0658195i
\(129\) 15.8319 1.91467i 1.39392 0.168577i
\(130\) −0.978936 7.05803i −0.0858583 0.619030i
\(131\) 9.21543 + 15.9616i 0.805156 + 1.39457i 0.916186 + 0.400754i \(0.131252\pi\)
−0.111029 + 0.993817i \(0.535415\pi\)
\(132\) 6.10899 4.58605i 0.531720 0.399164i
\(133\) −0.694316 + 1.20259i −0.0602048 + 0.104278i
\(134\) 26.4512 2.28504
\(135\) 3.29205 4.02025i 0.283334 0.346008i
\(136\) 0.593260i 0.0508716i
\(137\) −11.8392 6.83535i −1.01149 0.583983i −0.0998616 0.995001i \(-0.531840\pi\)
−0.911627 + 0.411018i \(0.865173\pi\)
\(138\) −6.80570 + 5.10906i −0.579339 + 0.434912i
\(139\) 1.20757 + 2.09158i 0.102425 + 0.177406i 0.912683 0.408668i \(-0.134006\pi\)
−0.810258 + 0.586073i \(0.800673\pi\)
\(140\) 1.34912 + 2.33674i 0.114021 + 0.197491i
\(141\) −1.27378 10.5326i −0.107272 0.887003i
\(142\) −0.490130 + 0.848930i −0.0411308 + 0.0712406i
\(143\) −3.13977 + 7.73093i −0.262560 + 0.646493i
\(144\) 8.67753 + 9.05156i 0.723127 + 0.754297i
\(145\) 2.98174i 0.247620i
\(146\) 12.0144 20.8096i 0.994320 1.72221i
\(147\) 3.39513 7.95811i 0.280026 0.656374i
\(148\) 5.41369 3.12560i 0.445003 0.256922i
\(149\) 10.4794 6.05030i 0.858507 0.495659i −0.00500475 0.999987i \(-0.501593\pi\)
0.863512 + 0.504328i \(0.168260\pi\)
\(150\) −3.14847 1.34322i −0.257071 0.109673i
\(151\) 19.9813 + 11.5362i 1.62605 + 0.938802i 0.985255 + 0.171093i \(0.0547297\pi\)
0.640798 + 0.767709i \(0.278604\pi\)
\(152\) 0.182786 0.0148259
\(153\) 2.66562 9.17000i 0.215503 0.741350i
\(154\) 6.47572i 0.521829i
\(155\) −3.00642 + 5.20727i −0.241481 + 0.418258i
\(156\) 11.4843 + 3.12190i 0.919479 + 0.249952i
\(157\) 7.21401 + 12.4950i 0.575741 + 0.997212i 0.995961 + 0.0897898i \(0.0286195\pi\)
−0.420220 + 0.907422i \(0.638047\pi\)
\(158\) 7.54362 4.35531i 0.600138 0.346490i
\(159\) −9.91941 13.2135i −0.786660 1.04790i
\(160\) 3.94378 6.83082i 0.311783 0.540024i
\(161\) 3.52003i 0.277417i
\(162\) 8.23571 + 15.7650i 0.647058 + 1.23861i
\(163\) 8.75992i 0.686130i 0.939312 + 0.343065i \(0.111465\pi\)
−0.939312 + 0.343065i \(0.888535\pi\)
\(164\) 3.94154 + 2.27565i 0.307783 + 0.177699i
\(165\) 2.40649 + 3.20565i 0.187345 + 0.249560i
\(166\) 7.01659 + 12.1531i 0.544593 + 0.943263i
\(167\) 14.6376 8.45105i 1.13269 0.653962i 0.188083 0.982153i \(-0.439772\pi\)
0.944611 + 0.328192i \(0.106439\pi\)
\(168\) 0.453750 0.0548753i 0.0350076 0.00423372i
\(169\) −12.5093 + 3.53809i −0.962252 + 0.272161i
\(170\) −6.29089 −0.482489
\(171\) 2.82531 + 0.821290i 0.216057 + 0.0628056i
\(172\) 17.5460 1.33787
\(173\) 2.01845 3.49605i 0.153460 0.265800i −0.779037 0.626977i \(-0.784292\pi\)
0.932497 + 0.361178i \(0.117625\pi\)
\(174\) −9.38790 4.00511i −0.711695 0.303627i
\(175\) −1.22619 + 0.707941i −0.0926912 + 0.0535153i
\(176\) −8.37702 + 4.83648i −0.631442 + 0.364563i
\(177\) 2.77708 + 1.18477i 0.208738 + 0.0890529i
\(178\) −9.52379 + 16.4957i −0.713838 + 1.23640i
\(179\) 6.37013 0.476126 0.238063 0.971250i \(-0.423488\pi\)
0.238063 + 0.971250i \(0.423488\pi\)
\(180\) 4.12696 3.95642i 0.307605 0.294894i
\(181\) −24.1388 −1.79423 −0.897113 0.441801i \(-0.854340\pi\)
−0.897113 + 0.441801i \(0.854340\pi\)
\(182\) 7.96144 6.19702i 0.590142 0.459354i
\(183\) −7.26557 + 0.878678i −0.537087 + 0.0649537i
\(184\) 0.401266 0.231671i 0.0295817 0.0170790i
\(185\) 1.64013 + 2.84080i 0.120585 + 0.208859i
\(186\) −12.3567 16.4601i −0.906035 1.20691i
\(187\) 6.37978 + 3.68337i 0.466536 + 0.269355i
\(188\) 11.6729i 0.851337i
\(189\) 7.26016 + 1.19058i 0.528099 + 0.0866016i
\(190\) 1.93825i 0.140615i
\(191\) −5.23282 + 9.06351i −0.378633 + 0.655812i −0.990864 0.134867i \(-0.956939\pi\)
0.612230 + 0.790680i \(0.290273\pi\)
\(192\) 7.51671 + 10.0129i 0.542472 + 0.722617i
\(193\) −1.18109 + 0.681901i −0.0850165 + 0.0490843i −0.541906 0.840439i \(-0.682297\pi\)
0.456889 + 0.889524i \(0.348964\pi\)
\(194\) 11.9794 + 20.7490i 0.860072 + 1.48969i
\(195\) −1.63820 + 6.02630i −0.117314 + 0.431552i
\(196\) 4.75974 8.24411i 0.339982 0.588865i
\(197\) 21.2075i 1.51097i −0.655165 0.755486i \(-0.727401\pi\)
0.655165 0.755486i \(-0.272599\pi\)
\(198\) −13.3253 + 3.27090i −0.946990 + 0.232452i
\(199\) −10.6575 −0.755489 −0.377745 0.925910i \(-0.623300\pi\)
−0.377745 + 0.925910i \(0.623300\pi\)
\(200\) 0.161403 + 0.0931864i 0.0114130 + 0.00658927i
\(201\) −21.3229 9.09689i −1.50400 0.641645i
\(202\) −13.4625 + 7.77257i −0.947218 + 0.546876i
\(203\) −3.65617 + 2.11089i −0.256613 + 0.148156i
\(204\) 4.12299 9.66421i 0.288667 0.676630i
\(205\) −1.19413 + 2.06830i −0.0834018 + 0.144456i
\(206\) 20.8416i 1.45210i
\(207\) 7.24329 1.77797i 0.503444 0.123578i
\(208\) −13.9626 5.67063i −0.968132 0.393188i
\(209\) −1.13486 + 1.96564i −0.0785000 + 0.135966i
\(210\) −0.581893 4.81153i −0.0401545 0.332027i
\(211\) 1.65684 + 2.86973i 0.114061 + 0.197560i 0.917404 0.397957i \(-0.130281\pi\)
−0.803343 + 0.595517i \(0.796947\pi\)
\(212\) −9.08943 15.7434i −0.624265 1.08126i
\(213\) 0.687062 0.515780i 0.0470767 0.0353407i
\(214\) 10.4101 + 6.01027i 0.711619 + 0.410853i
\(215\) 9.20715i 0.627923i
\(216\) −0.342109 0.905981i −0.0232775 0.0616442i
\(217\) −8.51347 −0.577932
\(218\) 1.67197 2.89593i 0.113240 0.196137i
\(219\) −16.8418 + 12.6432i −1.13806 + 0.854346i
\(220\) 2.20514 + 3.81941i 0.148670 + 0.257505i
\(221\) 1.57677 + 11.3683i 0.106065 + 0.764717i
\(222\) −11.1472 + 1.34811i −0.748152 + 0.0904794i
\(223\) 13.5170 + 7.80407i 0.905168 + 0.522599i 0.878873 0.477055i \(-0.158296\pi\)
0.0262948 + 0.999654i \(0.491629\pi\)
\(224\) 11.1678 0.746183
\(225\) 2.07610 + 2.16559i 0.138407 + 0.144373i
\(226\) 38.1888i 2.54028i
\(227\) 5.58421 + 3.22405i 0.370637 + 0.213987i 0.673737 0.738971i \(-0.264688\pi\)
−0.303100 + 0.952959i \(0.598021\pi\)
\(228\) 2.97759 + 1.27031i 0.197195 + 0.0841285i
\(229\) −20.5653 + 11.8734i −1.35900 + 0.784616i −0.989488 0.144612i \(-0.953807\pi\)
−0.369507 + 0.929228i \(0.620473\pi\)
\(230\) −2.45662 4.25500i −0.161985 0.280566i
\(231\) −2.22708 + 5.22023i −0.146531 + 0.343466i
\(232\) 0.481262 + 0.277857i 0.0315964 + 0.0182422i
\(233\) −10.6980 −0.700851 −0.350426 0.936591i \(-0.613963\pi\)
−0.350426 + 0.936591i \(0.613963\pi\)
\(234\) −16.7732 13.2524i −1.09650 0.866339i
\(235\) 6.12530 0.399570
\(236\) 2.87688 + 1.66097i 0.187269 + 0.108120i
\(237\) −7.57893 + 0.916574i −0.492304 + 0.0595379i
\(238\) −4.45357 7.71382i −0.288682 0.500013i
\(239\) −1.28938 + 0.744425i −0.0834032 + 0.0481528i −0.541122 0.840944i \(-0.682000\pi\)
0.457718 + 0.889097i \(0.348667\pi\)
\(240\) −5.78963 + 4.34630i −0.373719 + 0.280552i
\(241\) 17.5519 + 10.1336i 1.13062 + 0.652763i 0.944090 0.329687i \(-0.106943\pi\)
0.186528 + 0.982450i \(0.440277\pi\)
\(242\) 11.1545i 0.717040i
\(243\) −1.21723 15.5409i −0.0780851 0.996947i
\(244\) −8.05222 −0.515491
\(245\) 4.32604 + 2.49764i 0.276381 + 0.159568i
\(246\) −4.90799 6.53786i −0.312922 0.416838i
\(247\) −3.50263 + 0.485809i −0.222867 + 0.0309113i
\(248\) 0.560315 + 0.970493i 0.0355800 + 0.0616264i
\(249\) −1.47664 12.2100i −0.0935782 0.773775i
\(250\) 0.988142 1.71151i 0.0624956 0.108245i
\(251\) −11.9532 −0.754480 −0.377240 0.926116i \(-0.623127\pi\)
−0.377240 + 0.926116i \(0.623127\pi\)
\(252\) 7.77296 + 2.25952i 0.489651 + 0.142336i
\(253\) 5.75350i 0.361719i
\(254\) −13.5620 7.83001i −0.850954 0.491299i
\(255\) 5.07123 + 2.16351i 0.317573 + 0.135484i
\(256\) −8.70028 15.0693i −0.543767 0.941833i
\(257\) −0.381495 0.660769i −0.0237970 0.0412177i 0.853882 0.520467i \(-0.174242\pi\)
−0.877679 + 0.479250i \(0.840909\pi\)
\(258\) −28.9884 12.3672i −1.80474 0.769948i
\(259\) −2.32224 + 4.02223i −0.144297 + 0.249929i
\(260\) −2.58546 + 6.36609i −0.160344 + 0.394808i
\(261\) 6.19039 + 6.45722i 0.383176 + 0.399692i
\(262\) 36.4246i 2.25032i
\(263\) 4.79584 8.30663i 0.295724 0.512209i −0.679429 0.733741i \(-0.737772\pi\)
0.975153 + 0.221532i \(0.0711058\pi\)
\(264\) 0.741656 0.0896938i 0.0456458 0.00552027i
\(265\) 8.26121 4.76961i 0.507482 0.292995i
\(266\) 2.37666 1.37217i 0.145722 0.0841329i
\(267\) 13.3504 10.0222i 0.817032 0.613349i
\(268\) −22.0892 12.7532i −1.34931 0.779027i
\(269\) −0.453046 −0.0276227 −0.0138113 0.999905i \(-0.504396\pi\)
−0.0138113 + 0.999905i \(0.504396\pi\)
\(270\) −9.60696 + 3.62770i −0.584661 + 0.220775i
\(271\) 24.8382i 1.50881i −0.656409 0.754405i \(-0.727925\pi\)
0.656409 0.754405i \(-0.272075\pi\)
\(272\) −6.65242 + 11.5223i −0.403362 + 0.698644i
\(273\) −8.54913 + 2.25752i −0.517417 + 0.136632i
\(274\) 13.5086 + 23.3976i 0.816084 + 1.41350i
\(275\) −2.00421 + 1.15713i −0.120858 + 0.0697776i
\(276\) 8.14668 0.985236i 0.490372 0.0593043i
\(277\) 8.68367 15.0406i 0.521751 0.903699i −0.477929 0.878399i \(-0.658612\pi\)
0.999680 0.0253007i \(-0.00805433\pi\)
\(278\) 4.77302i 0.286267i
\(279\) 4.30016 + 17.5185i 0.257444 + 1.04880i
\(280\) 0.263882i 0.0157699i
\(281\) −17.4145 10.0542i −1.03886 0.599786i −0.119350 0.992852i \(-0.538081\pi\)
−0.919510 + 0.393066i \(0.871414\pi\)
\(282\) −8.22759 + 19.2853i −0.489946 + 1.14842i
\(283\) −1.18881 2.05907i −0.0706672 0.122399i 0.828527 0.559950i \(-0.189179\pi\)
−0.899194 + 0.437550i \(0.855846\pi\)
\(284\) 0.818608 0.472623i 0.0485754 0.0280450i
\(285\) −0.666587 + 1.56247i −0.0394852 + 0.0925525i
\(286\) 13.0130 10.1290i 0.769475 0.598943i
\(287\) −3.38150 −0.199603
\(288\) −5.64089 22.9805i −0.332393 1.35414i
\(289\) −6.86729 −0.403958
\(290\) 2.94638 5.10327i 0.173017 0.299675i
\(291\) −2.52106 20.8461i −0.147787 1.22202i
\(292\) −20.0663 + 11.5853i −1.17429 + 0.677978i
\(293\) 5.26375 3.03903i 0.307511 0.177542i −0.338301 0.941038i \(-0.609852\pi\)
0.645812 + 0.763496i \(0.276519\pi\)
\(294\) −13.6745 + 10.2655i −0.797516 + 0.598698i
\(295\) −0.871582 + 1.50962i −0.0507455 + 0.0878937i
\(296\) 0.611353 0.0355341
\(297\) 11.8668 + 1.94600i 0.688579 + 0.112918i
\(298\) −23.9142 −1.38531
\(299\) −7.07352 + 5.50588i −0.409072 + 0.318413i
\(300\) 1.98165 + 2.63972i 0.114410 + 0.152404i
\(301\) −11.2897 + 6.51812i −0.650728 + 0.375698i
\(302\) −22.7988 39.4887i −1.31192 2.27232i
\(303\) 13.5255 1.63574i 0.777020 0.0939706i
\(304\) −3.55008 2.04964i −0.203611 0.117555i
\(305\) 4.22535i 0.241943i
\(306\) −13.6235 + 13.0605i −0.778804 + 0.746621i
\(307\) 4.96898i 0.283595i −0.989896 0.141797i \(-0.954712\pi\)
0.989896 0.141797i \(-0.0452881\pi\)
\(308\) −3.12221 + 5.40783i −0.177905 + 0.308140i
\(309\) 7.16767 16.8009i 0.407755 0.955768i
\(310\) 10.2910 5.94154i 0.584492 0.337457i
\(311\) 16.8635 + 29.2084i 0.956240 + 1.65626i 0.731505 + 0.681837i \(0.238818\pi\)
0.224736 + 0.974420i \(0.427848\pi\)
\(312\) 0.820009 + 0.825980i 0.0464238 + 0.0467619i
\(313\) −11.3401 + 19.6416i −0.640979 + 1.11021i 0.344235 + 0.938883i \(0.388138\pi\)
−0.985215 + 0.171325i \(0.945195\pi\)
\(314\) 28.5139i 1.60913i
\(315\) −1.18567 + 4.07881i −0.0668048 + 0.229815i
\(316\) −8.39950 −0.472509
\(317\) 17.3120 + 9.99507i 0.972338 + 0.561379i 0.899948 0.435997i \(-0.143604\pi\)
0.0723895 + 0.997376i \(0.476938\pi\)
\(318\) 3.92039 + 32.4168i 0.219845 + 1.81784i
\(319\) −5.97602 + 3.45026i −0.334593 + 0.193177i
\(320\) −6.26016 + 3.61431i −0.349954 + 0.202046i
\(321\) −6.32481 8.42517i −0.353016 0.470247i
\(322\) 3.47829 6.02457i 0.193837 0.335736i
\(323\) 3.12193i 0.173709i
\(324\) 0.723363 17.1360i 0.0401868 0.952000i
\(325\) −3.34056 1.35670i −0.185301 0.0752563i
\(326\) 8.65605 14.9927i 0.479414 0.830369i
\(327\) −2.34376 + 1.75947i −0.129610 + 0.0972988i
\(328\) 0.222554 + 0.385474i 0.0122885 + 0.0212842i
\(329\) 4.33635 + 7.51077i 0.239070 + 0.414082i
\(330\) −0.951106 7.86447i −0.0523567 0.432925i
\(331\) −5.16112 2.97977i −0.283681 0.163783i 0.351408 0.936222i \(-0.385703\pi\)
−0.635089 + 0.772439i \(0.719036\pi\)
\(332\) 13.5319i 0.742662i
\(333\) 9.44965 + 2.74692i 0.517838 + 0.150530i
\(334\) −33.4033 −1.82775
\(335\) 6.69216 11.5912i 0.365632 0.633293i
\(336\) −9.42809 4.02226i −0.514345 0.219432i
\(337\) −9.62249 16.6666i −0.524170 0.907890i −0.999604 0.0281382i \(-0.991042\pi\)
0.475434 0.879752i \(-0.342291\pi\)
\(338\) 24.9059 + 6.30545i 1.35470 + 0.342971i
\(339\) −13.1336 + 30.7849i −0.713319 + 1.67201i
\(340\) 5.25348 + 3.03310i 0.284910 + 0.164493i
\(341\) −13.9153 −0.753555
\(342\) −4.02401 4.19746i −0.217593 0.226973i
\(343\) 16.9839i 0.917044i
\(344\) 1.48607 + 0.857981i 0.0801234 + 0.0462592i
\(345\) 0.516996 + 4.27491i 0.0278341 + 0.230154i
\(346\) −6.90919 + 3.98902i −0.371440 + 0.214451i
\(347\) −9.13406 15.8207i −0.490342 0.849297i 0.509596 0.860414i \(-0.329795\pi\)
−0.999938 + 0.0111165i \(0.996461\pi\)
\(348\) 5.90874 + 7.87094i 0.316742 + 0.421926i
\(349\) −19.1163 11.0368i −1.02327 0.590787i −0.108222 0.994127i \(-0.534516\pi\)
−0.915050 + 0.403340i \(0.867849\pi\)
\(350\) 2.79818 0.149569
\(351\) 8.96357 + 16.4516i 0.478440 + 0.878120i
\(352\) 18.2539 0.972934
\(353\) −22.5935 13.0444i −1.20253 0.694282i −0.241414 0.970422i \(-0.577611\pi\)
−0.961117 + 0.276140i \(0.910945\pi\)
\(354\) −3.58228 4.77190i −0.190396 0.253624i
\(355\) 0.248006 + 0.429559i 0.0131628 + 0.0227986i
\(356\) 15.9065 9.18362i 0.843043 0.486731i
\(357\) 0.937253 + 7.74992i 0.0496047 + 0.410169i
\(358\) −10.9025 6.29459i −0.576217 0.332679i
\(359\) 4.20431i 0.221895i −0.993826 0.110947i \(-0.964611\pi\)
0.993826 0.110947i \(-0.0353885\pi\)
\(360\) 0.542999 0.133287i 0.0286185 0.00702484i
\(361\) 18.0381 0.949375
\(362\) 41.3139 + 23.8526i 2.17141 + 1.25366i
\(363\) 3.83617 8.99192i 0.201347 0.471953i
\(364\) −9.63639 + 1.33655i −0.505084 + 0.0700543i
\(365\) −6.07930 10.5297i −0.318205 0.551147i
\(366\) 13.3034 + 5.67555i 0.695378 + 0.296666i
\(367\) 2.24078 3.88114i 0.116968 0.202594i −0.801597 0.597865i \(-0.796016\pi\)
0.918565 + 0.395271i \(0.129349\pi\)
\(368\) −10.3912 −0.541679
\(369\) 1.70800 + 6.95823i 0.0889148 + 0.362231i
\(370\) 6.48274i 0.337022i
\(371\) 11.6969 + 6.75320i 0.607272 + 0.350609i
\(372\) 2.38287 + 19.7034i 0.123546 + 1.02157i
\(373\) 16.4696 + 28.5261i 0.852762 + 1.47703i 0.878706 + 0.477363i \(0.158407\pi\)
−0.0259441 + 0.999663i \(0.508259\pi\)
\(374\) −7.27938 12.6083i −0.376408 0.651957i
\(375\) −1.38517 + 1.03985i −0.0715300 + 0.0536979i
\(376\) 0.570794 0.988644i 0.0294365 0.0509854i
\(377\) −9.96067 4.04533i −0.513001 0.208345i
\(378\) −11.2494 9.21175i −0.578606 0.473801i
\(379\) 16.1499i 0.829565i −0.909921 0.414783i \(-0.863858\pi\)
0.909921 0.414783i \(-0.136142\pi\)
\(380\) −0.934510 + 1.61862i −0.0479394 + 0.0830334i
\(381\) 8.23979 + 10.9761i 0.422137 + 0.562322i
\(382\) 17.9121 10.3415i 0.916461 0.529119i
\(383\) 5.46094 3.15287i 0.279041 0.161104i −0.353948 0.935265i \(-0.615161\pi\)
0.632989 + 0.774161i \(0.281828\pi\)
\(384\) 0.309711 + 2.56093i 0.0158049 + 0.130687i
\(385\) −2.83772 1.63836i −0.144624 0.0834985i
\(386\) 2.69526 0.137185
\(387\) 19.1150 + 19.9389i 0.971671 + 1.01355i
\(388\) 23.1031i 1.17288i
\(389\) −6.91245 + 11.9727i −0.350475 + 0.607041i −0.986333 0.164766i \(-0.947313\pi\)
0.635858 + 0.771806i \(0.280647\pi\)
\(390\) 8.75863 8.69531i 0.443511 0.440304i
\(391\) 3.95687 + 6.85351i 0.200108 + 0.346597i
\(392\) 0.806256 0.465492i 0.0407221 0.0235109i
\(393\) −12.5269 + 29.3627i −0.631896 + 1.48115i
\(394\) −20.9560 + 36.2969i −1.05575 + 1.82861i
\(395\) 4.40758i 0.221769i
\(396\) 12.7049 + 3.69319i 0.638447 + 0.185590i
\(397\) 10.3783i 0.520873i −0.965491 0.260436i \(-0.916134\pi\)
0.965491 0.260436i \(-0.0838665\pi\)
\(398\) 18.2404 + 10.5311i 0.914309 + 0.527877i
\(399\) −2.38778 + 0.288772i −0.119539 + 0.0144567i
\(400\) −2.08986 3.61974i −0.104493 0.180987i
\(401\) 2.56352 1.48005i 0.128016 0.0739101i −0.434624 0.900612i \(-0.643119\pi\)
0.562640 + 0.826702i \(0.309786\pi\)
\(402\) 27.5054 + 36.6395i 1.37185 + 1.82741i
\(403\) −13.3164 17.1079i −0.663337 0.852203i
\(404\) 14.9899 0.745776
\(405\) 8.99199 + 0.379579i 0.446816 + 0.0188615i
\(406\) 8.34344 0.414078
\(407\) −3.79570 + 6.57434i −0.188146 + 0.325878i
\(408\) 0.821767 0.616904i 0.0406836 0.0305413i
\(409\) −22.9348 + 13.2414i −1.13405 + 0.654745i −0.944951 0.327212i \(-0.893891\pi\)
−0.189101 + 0.981958i \(0.560557\pi\)
\(410\) 4.08754 2.35994i 0.201869 0.116549i
\(411\) −2.84288 23.5071i −0.140229 1.15952i
\(412\) 10.0486 17.4047i 0.495059 0.857466i
\(413\) −2.46811 −0.121448
\(414\) −14.1539 4.11438i −0.695625 0.202211i
\(415\) 7.10079 0.348564
\(416\) 17.4683 + 22.4418i 0.856452 + 1.10030i
\(417\) −1.64150 + 3.84764i −0.0803845 + 0.188420i
\(418\) 3.88466 2.24281i 0.190005 0.109699i
\(419\) −14.8689 25.7537i −0.726393 1.25815i −0.958398 0.285435i \(-0.907862\pi\)
0.232005 0.972715i \(-0.425471\pi\)
\(420\) −1.83390 + 4.29863i −0.0894854 + 0.209752i
\(421\) −18.2103 10.5137i −0.887516 0.512408i −0.0143871 0.999896i \(-0.504580\pi\)
−0.873129 + 0.487489i \(0.837913\pi\)
\(422\) 6.54876i 0.318789i
\(423\) 13.2649 12.7168i 0.644961 0.618310i
\(424\) 1.77785i 0.0863401i
\(425\) −1.59160 + 2.75672i −0.0772037 + 0.133721i
\(426\) −1.68558 + 0.203849i −0.0816665 + 0.00987651i
\(427\) 5.18107 2.99129i 0.250730 0.144759i
\(428\) −5.79560 10.0383i −0.280141 0.485218i
\(429\) −13.9736 + 3.68993i −0.674651 + 0.178151i
\(430\) 9.09797 15.7582i 0.438743 0.759925i
\(431\) 9.68227i 0.466378i 0.972431 + 0.233189i \(0.0749161\pi\)
−0.972431 + 0.233189i \(0.925084\pi\)
\(432\) −3.51461 + 21.4322i −0.169097 + 1.03116i
\(433\) 31.1909 1.49894 0.749470 0.662038i \(-0.230308\pi\)
0.749470 + 0.662038i \(0.230308\pi\)
\(434\) 14.5709 + 8.41251i 0.699425 + 0.403813i
\(435\) −4.13022 + 3.10057i −0.198029 + 0.148661i
\(436\) −2.79250 + 1.61225i −0.133736 + 0.0772128i
\(437\) −2.11159 + 1.21913i −0.101011 + 0.0583189i
\(438\) 41.3181 4.99689i 1.97426 0.238761i
\(439\) 2.17718 3.77099i 0.103911 0.179980i −0.809382 0.587283i \(-0.800198\pi\)
0.913293 + 0.407303i \(0.133531\pi\)
\(440\) 0.431315i 0.0205621i
\(441\) 14.5538 3.57244i 0.693038 0.170116i
\(442\) 8.53487 21.0151i 0.405962 0.999587i
\(443\) 13.1513 22.7787i 0.624838 1.08225i −0.363734 0.931503i \(-0.618498\pi\)
0.988572 0.150748i \(-0.0481683\pi\)
\(444\) 9.95894 + 4.24873i 0.472630 + 0.201636i
\(445\) 4.81904 + 8.34682i 0.228444 + 0.395677i
\(446\) −15.4230 26.7135i −0.730303 1.26492i
\(447\) 19.2778 + 8.22438i 0.911807 + 0.389000i
\(448\) −8.86365 5.11743i −0.418768 0.241776i
\(449\) 13.3071i 0.628003i −0.949423 0.314001i \(-0.898330\pi\)
0.949423 0.314001i \(-0.101670\pi\)
\(450\) −1.41337 5.75792i −0.0666267 0.271431i
\(451\) −5.52707 −0.260259
\(452\) −18.4124 + 31.8912i −0.866047 + 1.50004i
\(453\) 4.79800 + 39.6735i 0.225430 + 1.86402i
\(454\) −6.37163 11.0360i −0.299035 0.517944i
\(455\) −0.701345 5.05663i −0.0328796 0.237058i
\(456\) 0.190071 + 0.253190i 0.00890088 + 0.0118567i
\(457\) −23.9756 13.8423i −1.12153 0.647517i −0.179741 0.983714i \(-0.557526\pi\)
−0.941792 + 0.336197i \(0.890859\pi\)
\(458\) 46.9304 2.19291
\(459\) 15.4739 5.84311i 0.722259 0.272733i
\(460\) 4.73776i 0.220899i
\(461\) −32.2477 18.6182i −1.50193 0.867137i −0.999998 0.00222758i \(-0.999291\pi\)
−0.501928 0.864909i \(-0.667376\pi\)
\(462\) 8.96999 6.73381i 0.417322 0.313285i
\(463\) 6.17329 3.56415i 0.286897 0.165640i −0.349645 0.936882i \(-0.613698\pi\)
0.636542 + 0.771242i \(0.280364\pi\)
\(464\) −6.23140 10.7931i −0.289286 0.501057i
\(465\) −10.3392 + 1.25039i −0.479469 + 0.0579857i
\(466\) 18.3098 + 10.5712i 0.848185 + 0.489700i
\(467\) −16.2693 −0.752854 −0.376427 0.926446i \(-0.622847\pi\)
−0.376427 + 0.926446i \(0.622847\pi\)
\(468\) 7.61762 + 19.1541i 0.352125 + 0.885397i
\(469\) 18.9506 0.875058
\(470\) −10.4835 6.05266i −0.483569 0.279188i
\(471\) −9.80625 + 22.9857i −0.451848 + 1.05912i
\(472\) 0.162439 + 0.281353i 0.00747687 + 0.0129503i
\(473\) −18.4531 + 10.6539i −0.848473 + 0.489866i
\(474\) 13.8771 + 5.92033i 0.637398 + 0.271930i
\(475\) −0.849359 0.490377i −0.0389712 0.0225001i
\(476\) 8.58901i 0.393677i
\(477\) 7.98820 27.4802i 0.365755 1.25823i
\(478\) 2.94239 0.134582
\(479\) 18.9675 + 10.9509i 0.866646 + 0.500358i 0.866232 0.499642i \(-0.166535\pi\)
0.000413810 1.00000i \(0.499868\pi\)
\(480\) 13.5628 1.64025i 0.619055 0.0748668i
\(481\) −11.7150 + 1.62485i −0.534159 + 0.0740870i
\(482\) −20.0269 34.6875i −0.912199 1.57997i
\(483\) −4.87585 + 3.66032i −0.221859 + 0.166550i
\(484\) 5.37806 9.31507i 0.244457 0.423412i
\(485\) 12.1232 0.550485
\(486\) −13.2733 + 27.8012i −0.602088 + 1.26109i
\(487\) 38.2626i 1.73384i 0.498444 + 0.866922i \(0.333905\pi\)
−0.498444 + 0.866922i \(0.666095\pi\)
\(488\) −0.681986 0.393745i −0.0308720 0.0178240i
\(489\) −12.1340 + 9.10905i −0.548719 + 0.411925i
\(490\) −4.93604 8.54948i −0.222988 0.386226i
\(491\) 2.61014 + 4.52090i 0.117794 + 0.204025i 0.918893 0.394506i \(-0.129084\pi\)
−0.801099 + 0.598532i \(0.795751\pi\)
\(492\) 0.946462 + 7.82606i 0.0426698 + 0.352826i
\(493\) −4.74572 + 8.21982i −0.213736 + 0.370202i
\(494\) 6.47484 + 2.62963i 0.291317 + 0.118313i
\(495\) −1.93798 + 6.66682i −0.0871055 + 0.299651i
\(496\) 25.1320i 1.12846i
\(497\) −0.351147 + 0.608204i −0.0157511 + 0.0272817i
\(498\) −9.53789 + 22.3566i −0.427403 + 1.00182i
\(499\) 24.5153 14.1539i 1.09746 0.633616i 0.161904 0.986806i \(-0.448236\pi\)
0.935552 + 0.353190i \(0.114903\pi\)
\(500\) −1.65038 + 0.952848i −0.0738073 + 0.0426126i
\(501\) 26.9272 + 11.4878i 1.20302 + 0.513237i
\(502\) 20.4581 + 11.8115i 0.913088 + 0.527171i
\(503\) 43.1996 1.92617 0.963087 0.269191i \(-0.0867562\pi\)
0.963087 + 0.269191i \(0.0867562\pi\)
\(504\) 0.547846 + 0.571460i 0.0244030 + 0.0254548i
\(505\) 7.86585i 0.350026i
\(506\) 5.68527 9.84718i 0.252741 0.437760i
\(507\) −17.9087 13.6484i −0.795353 0.606147i
\(508\) 7.55035 + 13.0776i 0.334992 + 0.580224i
\(509\) 24.7633 14.2971i 1.09762 0.633709i 0.162022 0.986787i \(-0.448198\pi\)
0.935594 + 0.353078i \(0.114865\pi\)
\(510\) −6.54161 8.71397i −0.289667 0.385861i
\(511\) 8.60756 14.9087i 0.380776 0.659524i
\(512\) 31.4098i 1.38813i
\(513\) 1.80029 + 4.76757i 0.0794847 + 0.210493i
\(514\) 1.50789i 0.0665100i
\(515\) 9.13298 + 5.27293i 0.402447 + 0.232353i
\(516\) 18.2453 + 24.3043i 0.803205 + 1.06994i
\(517\) 7.08777 + 12.2764i 0.311720 + 0.539914i
\(518\) 7.94906 4.58939i 0.349262 0.201646i
\(519\) 6.94152 0.839488i 0.304699 0.0368494i
\(520\) −0.530271 + 0.412752i −0.0232539 + 0.0181004i
\(521\) −26.9407 −1.18030 −0.590148 0.807295i \(-0.700930\pi\)
−0.590148 + 0.807295i \(0.700930\pi\)
\(522\) −4.21428 17.1686i −0.184454 0.751449i
\(523\) 42.0516 1.83879 0.919394 0.393338i \(-0.128680\pi\)
0.919394 + 0.393338i \(0.128680\pi\)
\(524\) −17.5618 + 30.4179i −0.767191 + 1.32881i
\(525\) −2.25568 0.962328i −0.0984458 0.0419994i
\(526\) −16.4163 + 9.47793i −0.715783 + 0.413257i
\(527\) −16.5757 + 9.57001i −0.722051 + 0.416876i
\(528\) −15.4102 6.57439i −0.670645 0.286114i
\(529\) 8.40964 14.5659i 0.365637 0.633301i
\(530\) −18.8522 −0.818888
\(531\) 1.24665 + 5.07873i 0.0540999 + 0.220398i
\(532\) −2.64631 −0.114732
\(533\) −5.28919 6.79514i −0.229100 0.294330i
\(534\) −32.7527 + 3.96102i −1.41735 + 0.171410i
\(535\) 5.26751 3.04120i 0.227734 0.131482i
\(536\) −1.24724 2.16028i −0.0538724 0.0933098i
\(537\) 6.62400 + 8.82372i 0.285847 + 0.380772i
\(538\) 0.775393 + 0.447673i 0.0334296 + 0.0193006i
\(539\) 11.5604i 0.497941i
\(540\) 9.77176 + 1.60245i 0.420510 + 0.0689583i
\(541\) 8.88208i 0.381870i 0.981603 + 0.190935i \(0.0611520\pi\)
−0.981603 + 0.190935i \(0.938848\pi\)
\(542\) −24.5436 + 42.5108i −1.05424 + 1.82599i
\(543\) −25.1009 33.4365i −1.07718 1.43490i
\(544\) 21.7438 12.5538i 0.932259 0.538240i
\(545\) −0.846016 1.46534i −0.0362394 0.0627684i
\(546\) 16.8627 + 4.58397i 0.721656 + 0.196176i
\(547\) 19.4682 33.7200i 0.832402 1.44176i −0.0637268 0.997967i \(-0.520299\pi\)
0.896128 0.443795i \(-0.146368\pi\)
\(548\) 26.0522i 1.11289i
\(549\) −8.77226 9.15038i −0.374391 0.390529i
\(550\) 4.57364 0.195020
\(551\) −2.53256 1.46218i −0.107891 0.0622908i
\(552\) 0.738163 + 0.314919i 0.0314183 + 0.0134038i
\(553\) 5.40453 3.12030i 0.229824 0.132689i
\(554\) −29.7244 + 17.1614i −1.26287 + 0.729117i
\(555\) −2.22949 + 5.22588i −0.0946366 + 0.221826i
\(556\) −2.30127 + 3.98592i −0.0975956 + 0.169040i
\(557\) 7.23411i 0.306519i 0.988186 + 0.153260i \(0.0489770\pi\)
−0.988186 + 0.153260i \(0.951023\pi\)
\(558\) 9.95095 34.2322i 0.421257 1.44917i
\(559\) −30.7571 12.4914i −1.30089 0.528329i
\(560\) 2.95899 5.12512i 0.125040 0.216576i
\(561\) 1.53194 + 12.6673i 0.0646787 + 0.534812i
\(562\) 19.8700 + 34.4159i 0.838167 + 1.45175i
\(563\) 0.937061 + 1.62304i 0.0394924 + 0.0684029i 0.885096 0.465408i \(-0.154093\pi\)
−0.845604 + 0.533811i \(0.820759\pi\)
\(564\) 16.1690 12.1382i 0.680840 0.511109i
\(565\) −16.7347 9.66178i −0.704034 0.406474i
\(566\) 4.69883i 0.197507i
\(567\) 5.90036 + 11.2946i 0.247792 + 0.474329i
\(568\) 0.0924430 0.00387882
\(569\) 14.2621 24.7027i 0.597899 1.03559i −0.395231 0.918582i \(-0.629336\pi\)
0.993131 0.117011i \(-0.0373311\pi\)
\(570\) 2.68481 2.01550i 0.112454 0.0844199i
\(571\) −9.84138 17.0458i −0.411849 0.713343i 0.583243 0.812298i \(-0.301784\pi\)
−0.995092 + 0.0989544i \(0.968450\pi\)
\(572\) −15.7507 + 2.18459i −0.658570 + 0.0913425i
\(573\) −17.9959 + 2.17637i −0.751789 + 0.0909193i
\(574\) 5.78747 + 3.34140i 0.241564 + 0.139467i
\(575\) −2.48611 −0.103678
\(576\) −6.05328 + 20.8239i −0.252220 + 0.867661i
\(577\) 28.2701i 1.17690i 0.808533 + 0.588451i \(0.200262\pi\)
−0.808533 + 0.588451i \(0.799738\pi\)
\(578\) 11.7534 + 6.78586i 0.488879 + 0.282254i
\(579\) −2.17271 0.926931i −0.0902946 0.0385219i
\(580\) −4.92100 + 2.84114i −0.204333 + 0.117972i
\(581\) 5.02694 + 8.70691i 0.208553 + 0.361224i
\(582\) −16.2840 + 38.1695i −0.674995 + 1.58217i
\(583\) 19.1186 + 11.0381i 0.791812 + 0.457153i
\(584\) −2.26603 −0.0937690
\(585\) −10.0510 + 3.99729i −0.415556 + 0.165268i
\(586\) −12.0120 −0.496209
\(587\) −11.3964 6.57969i −0.470378 0.271573i 0.246020 0.969265i \(-0.420877\pi\)
−0.716398 + 0.697692i \(0.754211\pi\)
\(588\) 16.3690 1.97962i 0.675044 0.0816380i
\(589\) −2.94856 5.10706i −0.121493 0.210433i
\(590\) 2.98345 1.72249i 0.122826 0.0709139i
\(591\) 29.3761 22.0527i 1.20837 0.907128i
\(592\) −11.8737 6.85530i −0.488007 0.281751i
\(593\) 17.1582i 0.704602i 0.935887 + 0.352301i \(0.114601\pi\)
−0.935887 + 0.352301i \(0.885399\pi\)
\(594\) −18.3872 15.0566i −0.754434 0.617781i
\(595\) −4.50702 −0.184770
\(596\) 19.9706 + 11.5300i 0.818027 + 0.472288i
\(597\) −11.0822 14.7625i −0.453566 0.604187i
\(598\) 17.5470 2.43374i 0.717550 0.0995229i
\(599\) −19.6101 33.9657i −0.801246 1.38780i −0.918796 0.394732i \(-0.870837\pi\)
0.117550 0.993067i \(-0.462496\pi\)
\(600\) 0.0387570 + 0.320472i 0.00158225 + 0.0130832i
\(601\) −12.2038 + 21.1375i −0.497802 + 0.862218i −0.999997 0.00253654i \(-0.999193\pi\)
0.502195 + 0.864754i \(0.332526\pi\)
\(602\) 25.7633 1.05003
\(603\) −9.57198 38.9954i −0.389801 1.58801i
\(604\) 43.9689i 1.78907i
\(605\) 4.88802 + 2.82210i 0.198726 + 0.114735i
\(606\) −24.7654 10.5655i −1.00603 0.429195i
\(607\) −18.5929 32.2039i −0.754663 1.30711i −0.945542 0.325501i \(-0.894467\pi\)
0.190879 0.981614i \(-0.438866\pi\)
\(608\) 3.86788 + 6.69936i 0.156863 + 0.271695i
\(609\) −6.72583 2.86941i −0.272545 0.116274i
\(610\) −4.17524 + 7.23173i −0.169051 + 0.292804i
\(611\) −8.31021 + 20.4619i −0.336195 + 0.827801i
\(612\) 17.6739 4.33832i 0.714426 0.175366i
\(613\) 46.1767i 1.86506i 0.361092 + 0.932530i \(0.382404\pi\)
−0.361092 + 0.932530i \(0.617596\pi\)
\(614\) −4.91006 + 8.50447i −0.198154 + 0.343212i
\(615\) −4.10667 + 0.496649i −0.165597 + 0.0200268i
\(616\) −0.528874 + 0.305345i −0.0213089 + 0.0123027i
\(617\) −32.0251 + 18.4897i −1.28928 + 0.744367i −0.978526 0.206122i \(-0.933915\pi\)
−0.310756 + 0.950490i \(0.600582\pi\)
\(618\) −28.8692 + 21.6722i −1.16129 + 0.871785i
\(619\) 27.7138 + 16.0006i 1.11391 + 0.643117i 0.939840 0.341616i \(-0.110974\pi\)
0.174072 + 0.984733i \(0.444307\pi\)
\(620\) −11.4586 −0.460190
\(621\) 9.99477 + 8.18438i 0.401076 + 0.328428i
\(622\) 66.6540i 2.67258i
\(623\) −6.82319 + 11.8181i −0.273365 + 0.473483i
\(624\) −6.66427 25.2372i −0.266784 1.01030i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 38.8174 22.4112i 1.55145 0.895732i
\(627\) −3.90284 + 0.471998i −0.155864 + 0.0188498i
\(628\) −13.7477 + 23.8117i −0.548593 + 0.950191i
\(629\) 10.4417i 0.416339i
\(630\) 6.05972 5.80932i 0.241425 0.231449i
\(631\) 29.5469i 1.17625i 0.808772 + 0.588123i \(0.200133\pi\)
−0.808772 + 0.588123i \(0.799867\pi\)
\(632\) −0.711399 0.410726i −0.0282979 0.0163378i
\(633\) −2.25220 + 5.27910i −0.0895168 + 0.209826i
\(634\) −19.7531 34.2134i −0.784496 1.35879i
\(635\) −6.86237 + 3.96199i −0.272325 + 0.157227i
\(636\) 12.3556 28.9612i 0.489930 1.14839i
\(637\) −14.2127 + 11.0629i −0.563127 + 0.438326i
\(638\) 13.6374 0.539909
\(639\) 1.42889 + 0.415363i 0.0565259 + 0.0164315i
\(640\) −1.48932 −0.0588707
\(641\) −9.45016 + 16.3682i −0.373259 + 0.646503i −0.990065 0.140612i \(-0.955093\pi\)
0.616806 + 0.787115i \(0.288426\pi\)
\(642\) 2.49972 + 20.6696i 0.0986561 + 0.815763i
\(643\) 35.0392 20.2299i 1.38181 0.797788i 0.389436 0.921054i \(-0.372670\pi\)
0.992374 + 0.123266i \(0.0393368\pi\)
\(644\) −5.80939 + 3.35405i −0.228922 + 0.132168i
\(645\) −12.7535 + 9.57410i −0.502168 + 0.376980i
\(646\) 3.08491 5.34322i 0.121374 0.210226i
\(647\) 8.57838 0.337251 0.168626 0.985680i \(-0.446067\pi\)
0.168626 + 0.985680i \(0.446067\pi\)
\(648\) 0.899196 1.41597i 0.0353238 0.0556245i
\(649\) −4.03414 −0.158354
\(650\) 4.37680 + 5.62296i 0.171672 + 0.220551i
\(651\) −8.85276 11.7926i −0.346967 0.462189i
\(652\) −14.4572 + 8.34687i −0.566188 + 0.326889i
\(653\) −17.6875 30.6357i −0.692167 1.19887i −0.971127 0.238565i \(-0.923323\pi\)
0.278960 0.960303i \(-0.410010\pi\)
\(654\) 5.74997 0.695385i 0.224842 0.0271917i
\(655\) −15.9616 9.21543i −0.623671 0.360077i
\(656\) 9.98226i 0.389742i
\(657\) −35.0259 10.1817i −1.36649 0.397225i
\(658\) 17.1397i 0.668175i
\(659\) 0.467515 0.809759i 0.0182118 0.0315437i −0.856776 0.515689i \(-0.827536\pi\)
0.874988 + 0.484145i \(0.160869\pi\)
\(660\) −2.99752 + 7.02613i −0.116678 + 0.273492i
\(661\) −20.4363 + 11.7989i −0.794880 + 0.458924i −0.841678 0.539980i \(-0.818432\pi\)
0.0467979 + 0.998904i \(0.485098\pi\)
\(662\) 5.88888 + 10.1998i 0.228878 + 0.396428i
\(663\) −14.1075 + 14.0055i −0.547890 + 0.543929i
\(664\) 0.661697 1.14609i 0.0256788 0.0444770i
\(665\) 1.38863i 0.0538488i
\(666\) −13.4588 14.0390i −0.521520 0.543999i
\(667\) −7.41291 −0.287029
\(668\) 27.8949 + 16.1051i 1.07929 + 0.623126i
\(669\) 3.24578 + 26.8385i 0.125489 + 1.03764i
\(670\) −22.9074 + 13.2256i −0.884991 + 0.510950i
\(671\) 8.46848 4.88928i 0.326922 0.188748i
\(672\) 11.6129 + 15.4694i 0.447979 + 0.596745i
\(673\) −3.28480 + 5.68944i −0.126620 + 0.219312i −0.922365 0.386320i \(-0.873746\pi\)
0.795745 + 0.605631i \(0.207079\pi\)
\(674\) 38.0335i 1.46500i
\(675\) −0.840872 + 5.12766i −0.0323652 + 0.197364i
\(676\) −17.7586 17.2738i −0.683024 0.664377i
\(677\) 25.1692 43.5943i 0.967330 1.67546i 0.264109 0.964493i \(-0.414922\pi\)
0.703221 0.710971i \(-0.251744\pi\)
\(678\) 52.8981 39.7108i 2.03154 1.52509i
\(679\) 8.58249 + 14.8653i 0.329366 + 0.570478i
\(680\) 0.296630 + 0.513778i 0.0113752 + 0.0197025i
\(681\) 1.34091 + 11.0876i 0.0513837 + 0.424879i
\(682\) 23.8162 + 13.7503i 0.911968 + 0.526525i
\(683\) 41.3176i 1.58097i −0.612479 0.790487i \(-0.709827\pi\)
0.612479 0.790487i \(-0.290173\pi\)
\(684\) 1.33665 + 5.44541i 0.0511083 + 0.208210i
\(685\) 13.6707 0.522331
\(686\) 16.7825 29.0681i 0.640758 1.10983i
\(687\) −37.8317 16.1399i −1.44337 0.615776i
\(688\) −19.2416 33.3275i −0.733581 1.27060i
\(689\) 4.72518 + 34.0680i 0.180015 + 1.29789i
\(690\) 3.33937 7.82743i 0.127128 0.297985i
\(691\) −7.76180 4.48128i −0.295273 0.170476i 0.345044 0.938586i \(-0.387864\pi\)
−0.640317 + 0.768110i \(0.721197\pi\)
\(692\) 7.69309 0.292447
\(693\) −9.54675 + 2.34339i −0.362651 + 0.0890180i
\(694\) 36.1030i 1.37045i
\(695\) −2.09158 1.20757i −0.0793382 0.0458059i
\(696\) 0.115563 + 0.955562i 0.00438040 + 0.0362205i
\(697\) −6.58379 + 3.80115i −0.249379 + 0.143979i
\(698\) 21.8119 + 37.7792i 0.825591 + 1.42997i
\(699\) −11.1244 14.8186i −0.420763 0.560491i
\(700\) −2.33674 1.34912i −0.0883206 0.0509919i
\(701\) −12.7281 −0.480735 −0.240367 0.970682i \(-0.577268\pi\)
−0.240367 + 0.970682i \(0.577268\pi\)
\(702\) 0.915245 37.0143i 0.0345437 1.39702i
\(703\) −3.21714 −0.121337
\(704\) −14.4877 8.36445i −0.546024 0.315247i
\(705\) 6.36942 + 8.48459i 0.239886 + 0.319548i
\(706\) 25.7794 + 44.6512i 0.970220 + 1.68047i
\(707\) −9.64502 + 5.56855i −0.362738 + 0.209427i
\(708\) 0.690811 + 5.71215i 0.0259623 + 0.214676i
\(709\) −12.1726 7.02783i −0.457150 0.263936i 0.253695 0.967284i \(-0.418354\pi\)
−0.710845 + 0.703349i \(0.751687\pi\)
\(710\) 0.980259i 0.0367885i
\(711\) −9.15060 9.54502i −0.343174 0.357966i
\(712\) 1.79628 0.0673183
\(713\) −12.9458 7.47428i −0.484825 0.279914i
\(714\) 6.05390 14.1902i 0.226561 0.531056i
\(715\) −1.14635 8.26507i −0.0428711 0.309096i
\(716\) 6.06976 + 10.5131i 0.226838 + 0.392894i
\(717\) −2.37193 1.01192i −0.0885812 0.0377909i
\(718\) −4.15445 + 7.19572i −0.155043 + 0.268542i
\(719\) 41.1269 1.53378 0.766888 0.641781i \(-0.221804\pi\)
0.766888 + 0.641781i \(0.221804\pi\)
\(720\) −12.0407 3.50012i −0.448732 0.130442i
\(721\) 14.9317i 0.556085i
\(722\) −30.8724 17.8242i −1.14895 0.663349i
\(723\) 4.21465 + 34.8499i 0.156744 + 1.29608i
\(724\) −23.0006 39.8383i −0.854812 1.48058i
\(725\) −1.49087 2.58226i −0.0553694 0.0959027i
\(726\) −15.4509 + 11.5991i −0.573438 + 0.430482i
\(727\) 3.16503 5.48199i 0.117384 0.203316i −0.801346 0.598201i \(-0.795882\pi\)
0.918730 + 0.394885i \(0.129216\pi\)
\(728\) −0.881513 0.358009i −0.0326710 0.0132687i
\(729\) 20.2610 17.8463i 0.750409 0.660974i
\(730\) 24.0288i 0.889347i
\(731\) −14.6541 + 25.3816i −0.542000 + 0.938772i
\(732\) −8.37314 11.1537i −0.309480 0.412253i
\(733\) 33.9154 19.5810i 1.25269 0.723242i 0.281049 0.959693i \(-0.409318\pi\)
0.971643 + 0.236451i \(0.0759843\pi\)
\(734\) −7.67023 + 4.42841i −0.283113 + 0.163455i
\(735\) 1.03879 + 8.58949i 0.0383163 + 0.316828i
\(736\) 16.9821 + 9.80465i 0.625970 + 0.361404i
\(737\) 30.9748 1.14097
\(738\) 3.95246 13.5968i 0.145492 0.500506i
\(739\) 10.0932i 0.371283i −0.982618 0.185641i \(-0.940564\pi\)
0.982618 0.185641i \(-0.0594363\pi\)
\(740\) −3.12560 + 5.41369i −0.114899 + 0.199011i
\(741\) −4.31516 4.34658i −0.158521 0.159676i
\(742\) −13.3462 23.1164i −0.489956 0.848629i
\(743\) −37.6176 + 21.7185i −1.38006 + 0.796776i −0.992166 0.124930i \(-0.960129\pi\)
−0.387890 + 0.921706i \(0.626796\pi\)
\(744\) −0.761655 + 1.78530i −0.0279236 + 0.0654524i
\(745\) −6.05030 + 10.4794i −0.221666 + 0.383936i
\(746\) 65.0971i 2.38337i
\(747\) 15.3774 14.7420i 0.562630 0.539381i
\(748\) 14.0388i 0.513308i
\(749\) 7.45817 + 4.30597i 0.272515 + 0.157337i
\(750\) 3.39826 0.410976i 0.124087 0.0150067i
\(751\) 16.9962 + 29.4383i 0.620200 + 1.07422i 0.989448 + 0.144887i \(0.0462818\pi\)
−0.369249 + 0.929331i \(0.620385\pi\)
\(752\) −22.1720 + 12.8010i −0.808529 + 0.466804i
\(753\) −12.4296 16.5573i −0.452960 0.603380i
\(754\) 13.0504 + 16.7662i 0.475269 + 0.610588i
\(755\) −23.0724 −0.839690
\(756\) 4.95293 + 13.1165i 0.180136 + 0.477041i
\(757\) 29.6328 1.07702 0.538512 0.842618i \(-0.318987\pi\)
0.538512 + 0.842618i \(0.318987\pi\)
\(758\) −15.9584 + 27.6408i −0.579635 + 1.00396i
\(759\) −7.96959 + 5.98280i −0.289278 + 0.217162i
\(760\) −0.158297 + 0.0913930i −0.00574205 + 0.00331517i
\(761\) 10.9826 6.34081i 0.398119 0.229854i −0.287553 0.957765i \(-0.592842\pi\)
0.685672 + 0.727910i \(0.259508\pi\)
\(762\) −3.25657 26.9278i −0.117973 0.975490i
\(763\) 1.19786 2.07475i 0.0433654 0.0751111i
\(764\) −19.9443 −0.721560
\(765\) 2.27650 + 9.27426i 0.0823071 + 0.335312i
\(766\) −12.4619 −0.450268
\(767\) −3.86052 4.95969i −0.139395 0.179084i
\(768\) 11.8266 27.7213i 0.426755 1.00031i
\(769\) −4.22386 + 2.43865i −0.152316 + 0.0879398i −0.574221 0.818700i \(-0.694695\pi\)
0.421905 + 0.906640i \(0.361362\pi\)
\(770\) 3.23786 + 5.60814i 0.116684 + 0.202103i
\(771\) 0.518580 1.21554i 0.0186762 0.0437766i
\(772\) −2.25079 1.29949i −0.0810077 0.0467698i
\(773\) 15.0432i 0.541066i −0.962711 0.270533i \(-0.912800\pi\)
0.962711 0.270533i \(-0.0872000\pi\)
\(774\) −13.0131 53.0141i −0.467745 1.90555i