Properties

Label 390.2.bj.a.89.28
Level $390$
Weight $2$
Character 390.89
Analytic conductor $3.114$
Analytic rank $0$
Dimension $112$
CM no
Inner twists $8$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bj (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(112\)
Relative dimension: \(28\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 89.28
Character \(\chi\) \(=\) 390.89
Dual form 390.2.bj.a.149.28

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +(1.70109 - 0.326014i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(2.00231 - 0.995366i) q^{5} +(0.125370 - 1.72751i) q^{6} +(0.991200 - 0.265591i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.78743 - 1.10916i) q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +(1.70109 - 0.326014i) q^{3} +(-0.866025 - 0.500000i) q^{4} +(2.00231 - 0.995366i) q^{5} +(0.125370 - 1.72751i) q^{6} +(0.991200 - 0.265591i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(2.78743 - 1.10916i) q^{9} +(-0.443213 - 2.19170i) q^{10} +(-1.65022 + 6.15872i) q^{11} +(-1.63620 - 0.568210i) q^{12} +(3.21121 - 1.63955i) q^{13} -1.02617i q^{14} +(3.08161 - 2.34599i) q^{15} +(0.500000 + 0.866025i) q^{16} +(-5.23308 - 3.02132i) q^{17} +(-0.349925 - 2.97952i) q^{18} +(-6.34304 + 1.69961i) q^{19} +(-2.23173 - 0.139143i) q^{20} +(1.59954 - 0.774940i) q^{21} +(5.52176 + 3.18799i) q^{22} +(-1.26132 + 0.728222i) q^{23} +(-0.972327 + 1.43338i) q^{24} +(3.01849 - 3.98606i) q^{25} +(-0.752566 - 3.52614i) q^{26} +(4.38008 - 2.79552i) q^{27} +(-0.991200 - 0.265591i) q^{28} +(-4.41622 + 2.54971i) q^{29} +(-1.46847 - 3.58380i) q^{30} +(1.46390 + 1.46390i) q^{31} +(0.965926 - 0.258819i) q^{32} +(-0.799357 + 11.0145i) q^{33} +(-4.27279 + 4.27279i) q^{34} +(1.72033 - 1.51840i) q^{35} +(-2.96856 - 0.433156i) q^{36} +(1.76092 - 6.57183i) q^{37} +6.56680i q^{38} +(4.92805 - 3.83593i) q^{39} +(-0.712018 + 2.11968i) q^{40} +(2.67788 + 0.717535i) q^{41} +(-0.334544 - 1.74560i) q^{42} +(-1.80849 + 3.13239i) q^{43} +(4.50850 - 4.50850i) q^{44} +(4.47728 - 4.99539i) q^{45} +(0.376955 + 1.40682i) q^{46} +(5.16205 - 5.16205i) q^{47} +(1.13288 + 1.31018i) q^{48} +(-5.15024 + 2.97349i) q^{49} +(-3.06900 - 3.94731i) q^{50} +(-9.88695 - 3.43349i) q^{51} +(-3.60077 - 0.185709i) q^{52} -8.98001 q^{53} +(-1.56662 - 4.95436i) q^{54} +(2.82592 + 13.9742i) q^{55} +(-0.513083 + 0.888685i) q^{56} +(-10.2360 + 4.95912i) q^{57} +(1.31982 + 4.92565i) q^{58} +(3.52134 - 0.943540i) q^{59} +(-3.84175 + 0.490880i) q^{60} +(-4.69068 + 8.12450i) q^{61} +(1.79290 - 1.03513i) q^{62} +(2.46832 - 1.83971i) q^{63} -1.00000i q^{64} +(4.79788 - 6.47922i) q^{65} +(10.4323 + 3.62289i) q^{66} +(-8.04942 - 2.15684i) q^{67} +(3.02132 + 5.23308i) q^{68} +(-1.90821 + 1.64998i) q^{69} +(-1.02141 - 2.05470i) q^{70} +(0.360402 + 1.34504i) q^{71} +(-1.18672 + 2.75530i) q^{72} +(8.65328 + 8.65328i) q^{73} +(-5.89214 - 3.40183i) q^{74} +(3.83523 - 7.76473i) q^{75} +(6.34304 + 1.69961i) q^{76} +6.54281i q^{77} +(-2.42975 - 5.75294i) q^{78} +6.23151 q^{79} +(1.86317 + 1.23637i) q^{80} +(6.53953 - 6.18340i) q^{81} +(1.38617 - 2.40092i) q^{82} +(5.68306 + 5.68306i) q^{83} +(-1.77271 - 0.128650i) q^{84} +(-13.4856 - 0.840794i) q^{85} +(2.55759 + 2.55759i) q^{86} +(-6.68116 + 5.77703i) q^{87} +(-3.18799 - 5.52176i) q^{88} +(2.95837 - 11.0408i) q^{89} +(-3.66637 - 5.61763i) q^{90} +(2.74750 - 2.47799i) q^{91} +1.45644 q^{92} +(2.96748 + 2.01297i) q^{93} +(-3.65012 - 6.32219i) q^{94} +(-11.0090 + 9.71680i) q^{95} +(1.55875 - 0.755180i) q^{96} +(1.09874 + 4.10057i) q^{97} +(1.53919 + 5.74435i) q^{98} +(2.23111 + 18.9974i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 112 q+O(q^{10}) \) Copy content Toggle raw display \( 112 q + 24 q^{10} - 8 q^{15} + 56 q^{16} - 32 q^{19} - 8 q^{21} - 24 q^{30} + 40 q^{31} + 24 q^{36} - 24 q^{39} - 48 q^{45} + 16 q^{46} - 48 q^{49} - 48 q^{54} - 8 q^{55} - 16 q^{60} - 32 q^{66} - 168 q^{69} - 32 q^{70} - 120 q^{75} + 32 q^{76} + 112 q^{79} - 88 q^{81} - 8 q^{84} + 24 q^{85} + 48 q^{91} + 32 q^{94} - 56 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{7}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) 1.70109 0.326014i 0.982126 0.188224i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) 2.00231 0.995366i 0.895460 0.445141i
\(6\) 0.125370 1.72751i 0.0511821 0.705252i
\(7\) 0.991200 0.265591i 0.374638 0.100384i −0.0665865 0.997781i \(-0.521211\pi\)
0.441225 + 0.897397i \(0.354544\pi\)
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 2.78743 1.10916i 0.929143 0.369720i
\(10\) −0.443213 2.19170i −0.140156 0.693077i
\(11\) −1.65022 + 6.15872i −0.497561 + 1.85692i 0.0176226 + 0.999845i \(0.494390\pi\)
−0.515184 + 0.857080i \(0.672276\pi\)
\(12\) −1.63620 0.568210i −0.472329 0.164028i
\(13\) 3.21121 1.63955i 0.890629 0.454730i
\(14\) 1.02617i 0.274254i
\(15\) 3.08161 2.34599i 0.795669 0.605732i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) −5.23308 3.02132i −1.26921 0.732778i −0.294371 0.955691i \(-0.595110\pi\)
−0.974838 + 0.222913i \(0.928443\pi\)
\(18\) −0.349925 2.97952i −0.0824781 0.702280i
\(19\) −6.34304 + 1.69961i −1.45519 + 0.389918i −0.897827 0.440349i \(-0.854855\pi\)
−0.557367 + 0.830267i \(0.688188\pi\)
\(20\) −2.23173 0.139143i −0.499031 0.0311134i
\(21\) 1.59954 0.774940i 0.349047 0.169106i
\(22\) 5.52176 + 3.18799i 1.17724 + 0.679681i
\(23\) −1.26132 + 0.728222i −0.263003 + 0.151845i −0.625704 0.780061i \(-0.715188\pi\)
0.362701 + 0.931906i \(0.381855\pi\)
\(24\) −0.972327 + 1.43338i −0.198476 + 0.292588i
\(25\) 3.01849 3.98606i 0.603699 0.797212i
\(26\) −0.752566 3.52614i −0.147590 0.691532i
\(27\) 4.38008 2.79552i 0.842946 0.537998i
\(28\) −0.991200 0.265591i −0.187319 0.0501920i
\(29\) −4.41622 + 2.54971i −0.820071 + 0.473468i −0.850441 0.526070i \(-0.823665\pi\)
0.0303697 + 0.999539i \(0.490332\pi\)
\(30\) −1.46847 3.58380i −0.268105 0.654309i
\(31\) 1.46390 + 1.46390i 0.262924 + 0.262924i 0.826241 0.563317i \(-0.190475\pi\)
−0.563317 + 0.826241i \(0.690475\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) −0.799357 + 11.0145i −0.139150 + 1.91739i
\(34\) −4.27279 + 4.27279i −0.732778 + 0.732778i
\(35\) 1.72033 1.51840i 0.290789 0.256657i
\(36\) −2.96856 0.433156i −0.494761 0.0721926i
\(37\) 1.76092 6.57183i 0.289493 1.08040i −0.656001 0.754760i \(-0.727753\pi\)
0.945493 0.325641i \(-0.105580\pi\)
\(38\) 6.56680i 1.06528i
\(39\) 4.92805 3.83593i 0.789119 0.614240i
\(40\) −0.712018 + 2.11968i −0.112580 + 0.335150i
\(41\) 2.67788 + 0.717535i 0.418214 + 0.112060i 0.461789 0.886990i \(-0.347208\pi\)
−0.0435743 + 0.999050i \(0.513875\pi\)
\(42\) −0.334544 1.74560i −0.0516213 0.269352i
\(43\) −1.80849 + 3.13239i −0.275792 + 0.477685i −0.970335 0.241766i \(-0.922273\pi\)
0.694543 + 0.719451i \(0.255607\pi\)
\(44\) 4.50850 4.50850i 0.679681 0.679681i
\(45\) 4.47728 4.99539i 0.667434 0.744669i
\(46\) 0.376955 + 1.40682i 0.0555790 + 0.207424i
\(47\) 5.16205 5.16205i 0.752962 0.752962i −0.222069 0.975031i \(-0.571281\pi\)
0.975031 + 0.222069i \(0.0712811\pi\)
\(48\) 1.13288 + 1.31018i 0.163517 + 0.189109i
\(49\) −5.15024 + 2.97349i −0.735748 + 0.424785i
\(50\) −3.06900 3.94731i −0.434022 0.558234i
\(51\) −9.88695 3.43349i −1.38445 0.480785i
\(52\) −3.60077 0.185709i −0.499336 0.0257532i
\(53\) −8.98001 −1.23350 −0.616750 0.787159i \(-0.711551\pi\)
−0.616750 + 0.787159i \(0.711551\pi\)
\(54\) −1.56662 4.95436i −0.213190 0.674203i
\(55\) 2.82592 + 13.9742i 0.381047 + 1.88429i
\(56\) −0.513083 + 0.888685i −0.0685636 + 0.118756i
\(57\) −10.2360 + 4.95912i −1.35579 + 0.656851i
\(58\) 1.31982 + 4.92565i 0.173301 + 0.646770i
\(59\) 3.52134 0.943540i 0.458439 0.122838i −0.0222062 0.999753i \(-0.507069\pi\)
0.480646 + 0.876915i \(0.340402\pi\)
\(60\) −3.84175 + 0.490880i −0.495968 + 0.0633724i
\(61\) −4.69068 + 8.12450i −0.600581 + 1.04024i 0.392153 + 0.919900i \(0.371730\pi\)
−0.992733 + 0.120336i \(0.961603\pi\)
\(62\) 1.79290 1.03513i 0.227699 0.131462i
\(63\) 2.46832 1.83971i 0.310979 0.231782i
\(64\) 1.00000i 0.125000i
\(65\) 4.79788 6.47922i 0.595104 0.803649i
\(66\) 10.4323 + 3.62289i 1.28413 + 0.445948i
\(67\) −8.04942 2.15684i −0.983393 0.263499i −0.268920 0.963162i \(-0.586667\pi\)
−0.714473 + 0.699663i \(0.753333\pi\)
\(68\) 3.02132 + 5.23308i 0.366389 + 0.634604i
\(69\) −1.90821 + 1.64998i −0.229721 + 0.198634i
\(70\) −1.02141 2.05470i −0.122082 0.245584i
\(71\) 0.360402 + 1.34504i 0.0427719 + 0.159627i 0.984009 0.178121i \(-0.0570017\pi\)
−0.941237 + 0.337747i \(0.890335\pi\)
\(72\) −1.18672 + 2.75530i −0.139856 + 0.324716i
\(73\) 8.65328 + 8.65328i 1.01279 + 1.01279i 0.999917 + 0.0128731i \(0.00409776\pi\)
0.0128731 + 0.999917i \(0.495902\pi\)
\(74\) −5.89214 3.40183i −0.684947 0.395454i
\(75\) 3.83523 7.76473i 0.442854 0.896594i
\(76\) 6.34304 + 1.69961i 0.727597 + 0.194959i
\(77\) 6.54281i 0.745622i
\(78\) −2.42975 5.75294i −0.275115 0.651392i
\(79\) 6.23151 0.701100 0.350550 0.936544i \(-0.385995\pi\)
0.350550 + 0.936544i \(0.385995\pi\)
\(80\) 1.86317 + 1.23637i 0.208308 + 0.138230i
\(81\) 6.53953 6.18340i 0.726615 0.687045i
\(82\) 1.38617 2.40092i 0.153077 0.265137i
\(83\) 5.68306 + 5.68306i 0.623797 + 0.623797i 0.946500 0.322703i \(-0.104592\pi\)
−0.322703 + 0.946500i \(0.604592\pi\)
\(84\) −1.77271 0.128650i −0.193418 0.0140369i
\(85\) −13.4856 0.840794i −1.46272 0.0911969i
\(86\) 2.55759 + 2.55759i 0.275792 + 0.275792i
\(87\) −6.68116 + 5.77703i −0.716295 + 0.619363i
\(88\) −3.18799 5.52176i −0.339841 0.588621i
\(89\) 2.95837 11.0408i 0.313587 1.17032i −0.611712 0.791081i \(-0.709519\pi\)
0.925298 0.379240i \(-0.123815\pi\)
\(90\) −3.66637 5.61763i −0.386470 0.592150i
\(91\) 2.74750 2.47799i 0.288016 0.259764i
\(92\) 1.45644 0.151845
\(93\) 2.96748 + 2.01297i 0.307713 + 0.208736i
\(94\) −3.65012 6.32219i −0.376481 0.652084i
\(95\) −11.0090 + 9.71680i −1.12950 + 0.996922i
\(96\) 1.55875 0.755180i 0.159089 0.0770752i
\(97\) 1.09874 + 4.10057i 0.111560 + 0.416349i 0.999007 0.0445621i \(-0.0141892\pi\)
−0.887446 + 0.460911i \(0.847523\pi\)
\(98\) 1.53919 + 5.74435i 0.155482 + 0.580267i
\(99\) 2.23111 + 18.9974i 0.224235 + 1.90931i
\(100\) −4.60712 + 1.94278i −0.460712 + 0.194278i
\(101\) −0.132789 0.229997i −0.0132130 0.0228855i 0.859343 0.511399i \(-0.170873\pi\)
−0.872556 + 0.488514i \(0.837539\pi\)
\(102\) −5.87543 + 8.66140i −0.581754 + 0.857607i
\(103\) 2.07388 0.204346 0.102173 0.994767i \(-0.467421\pi\)
0.102173 + 0.994767i \(0.467421\pi\)
\(104\) −1.11133 + 3.43001i −0.108975 + 0.336340i
\(105\) 2.43142 3.14379i 0.237282 0.306803i
\(106\) −2.32420 + 8.67403i −0.225746 + 0.842496i
\(107\) −1.55406 2.69171i −0.150236 0.260217i 0.781078 0.624434i \(-0.214670\pi\)
−0.931314 + 0.364217i \(0.881337\pi\)
\(108\) −5.19102 + 0.230955i −0.499506 + 0.0222236i
\(109\) 14.2495 + 14.2495i 1.36485 + 1.36485i 0.867616 + 0.497236i \(0.165652\pi\)
0.497236 + 0.867616i \(0.334348\pi\)
\(110\) 14.2295 + 0.887175i 1.35673 + 0.0845888i
\(111\) 0.852975 11.7534i 0.0809608 1.11558i
\(112\) 0.725609 + 0.725609i 0.0685636 + 0.0685636i
\(113\) −0.935400 + 1.62016i −0.0879951 + 0.152412i −0.906664 0.421854i \(-0.861379\pi\)
0.818668 + 0.574266i \(0.194713\pi\)
\(114\) 2.14087 + 11.1707i 0.200510 + 1.04623i
\(115\) −1.80070 + 2.71360i −0.167916 + 0.253044i
\(116\) 5.09941 0.473468
\(117\) 7.13250 8.13188i 0.659399 0.751793i
\(118\) 3.64556i 0.335601i
\(119\) −5.98947 1.60487i −0.549053 0.147118i
\(120\) −0.520164 + 3.83789i −0.0474843 + 0.350350i
\(121\) −25.6803 14.8265i −2.33458 1.34787i
\(122\) 6.63363 + 6.63363i 0.600581 + 0.600581i
\(123\) 4.78924 + 0.347569i 0.431832 + 0.0313392i
\(124\) −0.535824 1.99972i −0.0481184 0.179580i
\(125\) 2.07637 10.9858i 0.185717 0.982603i
\(126\) −1.13818 2.86036i −0.101397 0.254822i
\(127\) 4.66763 + 8.08458i 0.414186 + 0.717390i 0.995343 0.0964011i \(-0.0307331\pi\)
−0.581157 + 0.813791i \(0.697400\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) −2.05520 + 5.91808i −0.180950 + 0.521058i
\(130\) −5.01667 6.31134i −0.439991 0.553542i
\(131\) 0.457960i 0.0400121i −0.999800 0.0200061i \(-0.993631\pi\)
0.999800 0.0200061i \(-0.00636855\pi\)
\(132\) 6.19954 9.13920i 0.539601 0.795465i
\(133\) −5.83582 + 3.36931i −0.506030 + 0.292156i
\(134\) −4.16669 + 7.21691i −0.359947 + 0.623446i
\(135\) 5.98771 9.95728i 0.515340 0.856986i
\(136\) 5.83674 1.56395i 0.500497 0.134108i
\(137\) −0.246412 0.919621i −0.0210524 0.0785685i 0.954600 0.297889i \(-0.0962826\pi\)
−0.975653 + 0.219321i \(0.929616\pi\)
\(138\) 1.09988 + 2.27023i 0.0936278 + 0.193255i
\(139\) 6.96065 12.0562i 0.590395 1.02259i −0.403784 0.914854i \(-0.632305\pi\)
0.994179 0.107740i \(-0.0343612\pi\)
\(140\) −2.24905 + 0.454810i −0.190079 + 0.0384385i
\(141\) 7.09822 10.4640i 0.597778 0.881229i
\(142\) 1.39249 0.116855
\(143\) 4.79834 + 22.4826i 0.401257 + 1.88009i
\(144\) 2.35427 + 1.85941i 0.196190 + 0.154951i
\(145\) −6.30475 + 9.50105i −0.523581 + 0.789020i
\(146\) 10.5981 6.11880i 0.877102 0.506395i
\(147\) −7.79163 + 6.73723i −0.642643 + 0.555678i
\(148\) −4.81091 + 4.81091i −0.395454 + 0.395454i
\(149\) −0.327629 1.22273i −0.0268404 0.100170i 0.951206 0.308556i \(-0.0998457\pi\)
−0.978047 + 0.208386i \(0.933179\pi\)
\(150\) −6.50752 5.71421i −0.531337 0.466563i
\(151\) −4.89612 + 4.89612i −0.398441 + 0.398441i −0.877683 0.479242i \(-0.840912\pi\)
0.479242 + 0.877683i \(0.340912\pi\)
\(152\) 3.28340 5.68701i 0.266319 0.461278i
\(153\) −17.9380 2.61740i −1.45020 0.211605i
\(154\) 6.31987 + 1.69340i 0.509269 + 0.136458i
\(155\) 4.38829 + 1.47406i 0.352476 + 0.118400i
\(156\) −6.18578 + 0.857990i −0.495259 + 0.0686942i
\(157\) 0.752484i 0.0600547i −0.999549 0.0300274i \(-0.990441\pi\)
0.999549 0.0300274i \(-0.00955944\pi\)
\(158\) 1.61283 6.01918i 0.128310 0.478860i
\(159\) −15.2758 + 2.92761i −1.21145 + 0.232174i
\(160\) 1.67646 1.47969i 0.132536 0.116979i
\(161\) −1.05681 + 1.05681i −0.0832881 + 0.0832881i
\(162\) −4.28015 7.91709i −0.336281 0.622025i
\(163\) 2.95710 0.792352i 0.231618 0.0620618i −0.141143 0.989989i \(-0.545078\pi\)
0.372761 + 0.927927i \(0.378411\pi\)
\(164\) −1.96034 1.96034i −0.153077 0.153077i
\(165\) 9.36294 + 22.8502i 0.728904 + 1.77889i
\(166\) 6.96030 4.01853i 0.540224 0.311899i
\(167\) −12.2225 3.27501i −0.945806 0.253428i −0.247224 0.968958i \(-0.579519\pi\)
−0.698582 + 0.715530i \(0.746185\pi\)
\(168\) −0.583078 + 1.67901i −0.0449854 + 0.129538i
\(169\) 7.62373 10.5299i 0.586440 0.809992i
\(170\) −4.30247 + 12.8085i −0.329984 + 0.982363i
\(171\) −15.7956 + 11.7730i −1.20792 + 0.900303i
\(172\) 3.13239 1.80849i 0.238843 0.137896i
\(173\) −10.6379 6.14181i −0.808787 0.466953i 0.0377477 0.999287i \(-0.487982\pi\)
−0.846534 + 0.532334i \(0.821315\pi\)
\(174\) 3.85097 + 7.94871i 0.291942 + 0.602590i
\(175\) 1.93327 4.75267i 0.146141 0.359268i
\(176\) −6.15872 + 1.65022i −0.464231 + 0.124390i
\(177\) 5.68252 2.75305i 0.427124 0.206932i
\(178\) −9.89890 5.71513i −0.741954 0.428367i
\(179\) −8.88935 15.3968i −0.664421 1.15081i −0.979442 0.201726i \(-0.935345\pi\)
0.315021 0.949085i \(-0.397989\pi\)
\(180\) −6.37514 + 2.08749i −0.475175 + 0.155593i
\(181\) 22.3561i 1.66171i −0.556487 0.830856i \(-0.687851\pi\)
0.556487 0.830856i \(-0.312149\pi\)
\(182\) −1.68245 3.29523i −0.124712 0.244259i
\(183\) −5.33059 + 15.3498i −0.394048 + 1.13469i
\(184\) 0.376955 1.40682i 0.0277895 0.103712i
\(185\) −3.01547 14.9116i −0.221702 1.09632i
\(186\) 2.71242 2.34537i 0.198885 0.171971i
\(187\) 27.2432 27.2432i 1.99222 1.99222i
\(188\) −7.05148 + 1.88944i −0.514282 + 0.137802i
\(189\) 3.59906 3.93423i 0.261793 0.286173i
\(190\) 6.53637 + 13.1488i 0.474198 + 0.953912i
\(191\) 14.1585 + 8.17439i 1.02447 + 0.591478i 0.915396 0.402555i \(-0.131878\pi\)
0.109075 + 0.994034i \(0.465211\pi\)
\(192\) −0.326014 1.70109i −0.0235280 0.122766i
\(193\) 6.04505 22.5604i 0.435132 1.62394i −0.305617 0.952155i \(-0.598863\pi\)
0.740749 0.671782i \(-0.234471\pi\)
\(194\) 4.24522 0.304789
\(195\) 6.04932 12.5859i 0.433201 0.901297i
\(196\) 5.94698 0.424785
\(197\) 1.78041 6.64459i 0.126849 0.473408i −0.873050 0.487631i \(-0.837861\pi\)
0.999899 + 0.0142237i \(0.00452770\pi\)
\(198\) 18.9275 + 2.76179i 1.34512 + 0.196272i
\(199\) −3.15587 1.82204i −0.223714 0.129161i 0.383955 0.923352i \(-0.374562\pi\)
−0.607669 + 0.794191i \(0.707895\pi\)
\(200\) 0.684173 + 4.95297i 0.0483784 + 0.350228i
\(201\) −14.3960 1.04476i −1.01541 0.0736914i
\(202\) −0.256528 + 0.0687364i −0.0180492 + 0.00483628i
\(203\) −3.70018 + 3.70018i −0.259701 + 0.259701i
\(204\) 6.84560 + 7.91696i 0.479288 + 0.554298i
\(205\) 6.07615 1.22874i 0.424377 0.0858189i
\(206\) 0.536760 2.00322i 0.0373979 0.139571i
\(207\) −2.70812 + 3.42887i −0.188227 + 0.238323i
\(208\) 3.02550 + 1.96121i 0.209781 + 0.135986i
\(209\) 41.8698i 2.89619i
\(210\) −2.40737 3.16224i −0.166125 0.218216i
\(211\) −1.10154 1.90793i −0.0758334 0.131347i 0.825615 0.564234i \(-0.190828\pi\)
−0.901448 + 0.432887i \(0.857495\pi\)
\(212\) 7.77692 + 4.49001i 0.534121 + 0.308375i
\(213\) 1.05158 + 2.17054i 0.0720530 + 0.148723i
\(214\) −3.00221 + 0.804439i −0.205227 + 0.0549903i
\(215\) −0.503278 + 8.07212i −0.0343233 + 0.550514i
\(216\) −1.12045 + 5.07391i −0.0762369 + 0.345236i
\(217\) 1.83981 + 1.06222i 0.124895 + 0.0721080i
\(218\) 17.4520 10.0759i 1.18200 0.682426i
\(219\) 17.5411 + 11.8989i 1.18532 + 0.804056i
\(220\) 4.53981 13.5150i 0.306074 0.911182i
\(221\) −21.7581 1.12217i −1.46361 0.0754855i
\(222\) −11.1321 3.86591i −0.747139 0.259463i
\(223\) 6.80208 + 1.82261i 0.455501 + 0.122051i 0.479272 0.877666i \(-0.340901\pi\)
−0.0237714 + 0.999717i \(0.507567\pi\)
\(224\) 0.888685 0.513083i 0.0593778 0.0342818i
\(225\) 3.99267 14.4589i 0.266178 0.963924i
\(226\) 1.32286 + 1.32286i 0.0879951 + 0.0879951i
\(227\) 9.88478 2.64862i 0.656076 0.175795i 0.0846014 0.996415i \(-0.473038\pi\)
0.571474 + 0.820620i \(0.306372\pi\)
\(228\) 11.3442 + 0.823280i 0.751288 + 0.0545231i
\(229\) −9.15867 + 9.15867i −0.605222 + 0.605222i −0.941694 0.336471i \(-0.890766\pi\)
0.336471 + 0.941694i \(0.390766\pi\)
\(230\) 2.15508 + 2.44168i 0.142102 + 0.160999i
\(231\) 2.13304 + 11.1299i 0.140344 + 0.732295i
\(232\) 1.31982 4.92565i 0.0866507 0.323385i
\(233\) 18.7699i 1.22966i −0.788660 0.614830i \(-0.789225\pi\)
0.788660 0.614830i \(-0.210775\pi\)
\(234\) −6.00877 8.99415i −0.392806 0.587966i
\(235\) 5.19790 15.4741i 0.339073 1.00942i
\(236\) −3.52134 0.943540i −0.229220 0.0614192i
\(237\) 10.6004 2.03156i 0.688569 0.131964i
\(238\) −3.10038 + 5.37001i −0.200968 + 0.348086i
\(239\) −10.1652 + 10.1652i −0.657535 + 0.657535i −0.954796 0.297261i \(-0.903927\pi\)
0.297261 + 0.954796i \(0.403927\pi\)
\(240\) 3.57249 + 1.49576i 0.230603 + 0.0965509i
\(241\) 0.254729 + 0.950660i 0.0164085 + 0.0612374i 0.973645 0.228070i \(-0.0732416\pi\)
−0.957236 + 0.289308i \(0.906575\pi\)
\(242\) −20.9679 + 20.9679i −1.34787 + 1.34787i
\(243\) 9.10848 12.6505i 0.584309 0.811531i
\(244\) 8.12450 4.69068i 0.520118 0.300290i
\(245\) −7.35267 + 11.0802i −0.469745 + 0.707890i
\(246\) 1.57527 4.53610i 0.100436 0.289211i
\(247\) −17.5822 + 15.8576i −1.11873 + 1.00899i
\(248\) −2.07026 −0.131462
\(249\) 11.5202 + 7.81466i 0.730061 + 0.495234i
\(250\) −10.0741 4.84897i −0.637142 0.306676i
\(251\) −4.44050 + 7.69117i −0.280282 + 0.485462i −0.971454 0.237228i \(-0.923761\pi\)
0.691172 + 0.722690i \(0.257095\pi\)
\(252\) −3.05748 + 0.359081i −0.192603 + 0.0226200i
\(253\) −2.40346 8.96983i −0.151104 0.563928i
\(254\) 9.01718 2.41614i 0.565788 0.151602i
\(255\) −23.2143 + 2.96621i −1.45374 + 0.185751i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.51243 3.18260i 0.343856 0.198525i −0.318120 0.948050i \(-0.603051\pi\)
0.661976 + 0.749525i \(0.269718\pi\)
\(258\) 5.18450 + 3.51688i 0.322773 + 0.218952i
\(259\) 6.98168i 0.433820i
\(260\) −7.39470 + 3.21223i −0.458600 + 0.199214i
\(261\) −9.48188 + 12.0054i −0.586913 + 0.743116i
\(262\) −0.442355 0.118529i −0.0273288 0.00732273i
\(263\) −11.1446 19.3031i −0.687207 1.19028i −0.972738 0.231908i \(-0.925503\pi\)
0.285531 0.958370i \(-0.407830\pi\)
\(264\) −7.22323 8.35369i −0.444559 0.514134i
\(265\) −17.9808 + 8.93840i −1.10455 + 0.549081i
\(266\) 1.74408 + 6.50901i 0.106937 + 0.399093i
\(267\) 1.43301 19.7459i 0.0876990 1.20843i
\(268\) 5.89258 + 5.89258i 0.359947 + 0.359947i
\(269\) 12.9508 + 7.47713i 0.789622 + 0.455888i 0.839829 0.542850i \(-0.182655\pi\)
−0.0502075 + 0.998739i \(0.515988\pi\)
\(270\) −8.06826 8.36081i −0.491019 0.508823i
\(271\) 1.29241 + 0.346301i 0.0785084 + 0.0210363i 0.297859 0.954610i \(-0.403727\pi\)
−0.219351 + 0.975646i \(0.570394\pi\)
\(272\) 6.04264i 0.366389i
\(273\) 3.86589 5.11102i 0.233974 0.309333i
\(274\) −0.952061 −0.0575161
\(275\) 19.5679 + 25.1680i 1.17999 + 1.51769i
\(276\) 2.47755 0.474820i 0.149131 0.0285808i
\(277\) −9.18624 + 15.9110i −0.551948 + 0.956002i 0.446186 + 0.894940i \(0.352782\pi\)
−0.998134 + 0.0610616i \(0.980551\pi\)
\(278\) −9.84385 9.84385i −0.590395 0.590395i
\(279\) 5.70421 + 2.45682i 0.341502 + 0.147086i
\(280\) −0.142784 + 2.29013i −0.00853298 + 0.136861i
\(281\) 2.14505 + 2.14505i 0.127963 + 0.127963i 0.768188 0.640225i \(-0.221159\pi\)
−0.640225 + 0.768188i \(0.721159\pi\)
\(282\) −8.27031 9.56464i −0.492490 0.569566i
\(283\) 9.28235 + 16.0775i 0.551778 + 0.955708i 0.998146 + 0.0608586i \(0.0193839\pi\)
−0.446368 + 0.894849i \(0.647283\pi\)
\(284\) 0.360402 1.34504i 0.0213859 0.0798134i
\(285\) −15.5595 + 20.1183i −0.921666 + 1.19170i
\(286\) 22.9584 + 1.18408i 1.35756 + 0.0700159i
\(287\) 2.84488 0.167928
\(288\) 2.40538 1.79280i 0.141738 0.105642i
\(289\) 9.75676 + 16.8992i 0.573927 + 0.994071i
\(290\) 7.54552 + 8.54898i 0.443088 + 0.502013i
\(291\) 3.20590 + 6.61724i 0.187933 + 0.387909i
\(292\) −3.16732 11.8206i −0.185353 0.691749i
\(293\) 1.14072 + 4.25724i 0.0666418 + 0.248711i 0.991208 0.132310i \(-0.0422394\pi\)
−0.924567 + 0.381021i \(0.875573\pi\)
\(294\) 4.49104 + 9.26986i 0.261923 + 0.540629i
\(295\) 6.11165 5.39428i 0.355834 0.314067i
\(296\) 3.40183 + 5.89214i 0.197727 + 0.342474i
\(297\) 9.98873 + 31.5889i 0.579605 + 1.83297i
\(298\) −1.26586 −0.0733295
\(299\) −2.85639 + 4.40647i −0.165190 + 0.254833i
\(300\) −7.20377 + 4.80684i −0.415910 + 0.277523i
\(301\) −0.960636 + 3.58514i −0.0553702 + 0.206644i
\(302\) 3.46208 + 5.99650i 0.199220 + 0.345060i
\(303\) −0.300868 0.347954i −0.0172844 0.0199895i
\(304\) −4.64343 4.64343i −0.266319 0.266319i
\(305\) −1.30536 + 20.9367i −0.0747444 + 1.19883i
\(306\) −7.17091 + 16.6493i −0.409934 + 0.951778i
\(307\) −12.4674 12.4674i −0.711551 0.711551i 0.255309 0.966860i \(-0.417823\pi\)
−0.966860 + 0.255309i \(0.917823\pi\)
\(308\) 3.27140 5.66624i 0.186406 0.322864i
\(309\) 3.52786 0.676114i 0.200693 0.0384628i
\(310\) 2.55961 3.85725i 0.145376 0.219077i
\(311\) 12.1147 0.686963 0.343482 0.939159i \(-0.388394\pi\)
0.343482 + 0.939159i \(0.388394\pi\)
\(312\) −0.772242 + 6.19707i −0.0437196 + 0.350840i
\(313\) 3.94403i 0.222930i −0.993768 0.111465i \(-0.964446\pi\)
0.993768 0.111465i \(-0.0355543\pi\)
\(314\) −0.726843 0.194757i −0.0410181 0.0109908i
\(315\) 3.11115 6.14056i 0.175293 0.345981i
\(316\) −5.39665 3.11576i −0.303585 0.175275i
\(317\) −8.80930 8.80930i −0.494779 0.494779i 0.415029 0.909808i \(-0.363771\pi\)
−0.909808 + 0.415029i \(0.863771\pi\)
\(318\) −1.12583 + 15.5130i −0.0631332 + 0.869928i
\(319\) −8.41517 31.4058i −0.471159 1.75839i
\(320\) −0.995366 2.00231i −0.0556426 0.111933i
\(321\) −3.52113 4.07220i −0.196530 0.227288i
\(322\) 0.747276 + 1.29432i 0.0416441 + 0.0721297i
\(323\) 38.3287 + 10.2702i 2.13267 + 0.571447i
\(324\) −8.75511 + 2.08522i −0.486395 + 0.115845i
\(325\) 3.15765 17.7491i 0.175155 0.984541i
\(326\) 3.06141i 0.169556i
\(327\) 28.8852 + 19.5941i 1.59735 + 1.08356i
\(328\) −2.40092 + 1.38617i −0.132569 + 0.0765385i
\(329\) 3.74562 6.48761i 0.206503 0.357674i
\(330\) 24.4949 3.12984i 1.34840 0.172292i
\(331\) −4.24708 + 1.13800i −0.233440 + 0.0625502i −0.373643 0.927573i \(-0.621891\pi\)
0.140202 + 0.990123i \(0.455225\pi\)
\(332\) −2.08015 7.76321i −0.114163 0.426061i
\(333\) −2.38077 20.2716i −0.130465 1.11088i
\(334\) −6.32684 + 10.9584i −0.346189 + 0.599617i
\(335\) −18.2643 + 3.69346i −0.997884 + 0.201795i
\(336\) 1.47089 + 0.997769i 0.0802434 + 0.0544328i
\(337\) 1.96895 0.107255 0.0536277 0.998561i \(-0.482922\pi\)
0.0536277 + 0.998561i \(0.482922\pi\)
\(338\) −8.19794 10.0893i −0.445909 0.548785i
\(339\) −1.06301 + 3.06100i −0.0577347 + 0.166251i
\(340\) 11.2585 + 7.47094i 0.610575 + 0.405168i
\(341\) −11.4315 + 6.59998i −0.619050 + 0.357409i
\(342\) 7.28362 + 18.3045i 0.393853 + 0.989794i
\(343\) −9.39444 + 9.39444i −0.507252 + 0.507252i
\(344\) −0.936142 3.49373i −0.0504734 0.188369i
\(345\) −2.17849 + 5.20313i −0.117286 + 0.280127i
\(346\) −8.68583 + 8.68583i −0.466953 + 0.466953i
\(347\) −13.1149 + 22.7157i −0.704045 + 1.21944i 0.262991 + 0.964798i \(0.415291\pi\)
−0.967035 + 0.254643i \(0.918042\pi\)
\(348\) 8.67457 1.66248i 0.465006 0.0891181i
\(349\) 10.3892 + 2.78377i 0.556120 + 0.149012i 0.525923 0.850532i \(-0.323720\pi\)
0.0301969 + 0.999544i \(0.490387\pi\)
\(350\) −4.09036 3.09748i −0.218639 0.165567i
\(351\) 9.48193 16.1584i 0.506108 0.862470i
\(352\) 6.37598i 0.339841i
\(353\) 1.74273 6.50394i 0.0927560 0.346170i −0.903914 0.427715i \(-0.859319\pi\)
0.996670 + 0.0815449i \(0.0259854\pi\)
\(354\) −1.18850 6.20143i −0.0631682 0.329602i
\(355\) 2.06044 + 2.33445i 0.109357 + 0.123900i
\(356\) −8.08242 + 8.08242i −0.428367 + 0.428367i
\(357\) −10.7118 0.777389i −0.566931 0.0411438i
\(358\) −17.1729 + 4.60147i −0.907616 + 0.243195i
\(359\) 10.3113 + 10.3113i 0.544211 + 0.544211i 0.924760 0.380550i \(-0.124265\pi\)
−0.380550 + 0.924760i \(0.624265\pi\)
\(360\) 0.366359 + 6.69819i 0.0193088 + 0.353026i
\(361\) 20.8910 12.0614i 1.09953 0.634812i
\(362\) −21.5943 5.78617i −1.13497 0.304114i
\(363\) −48.5183 16.8492i −2.54655 0.884353i
\(364\) −3.61840 + 0.772257i −0.189656 + 0.0404773i
\(365\) 25.9397 + 8.71338i 1.35775 + 0.456079i
\(366\) 13.4471 + 9.12176i 0.702890 + 0.476802i
\(367\) −23.4982 + 13.5667i −1.22660 + 0.708176i −0.966317 0.257356i \(-0.917149\pi\)
−0.260281 + 0.965533i \(0.583815\pi\)
\(368\) −1.26132 0.728222i −0.0657507 0.0379612i
\(369\) 8.26026 0.970112i 0.430012 0.0505020i
\(370\) −15.1840 0.946684i −0.789376 0.0492157i
\(371\) −8.90099 + 2.38501i −0.462116 + 0.123824i
\(372\) −1.56342 3.22703i −0.0810597 0.167313i
\(373\) −23.0745 13.3221i −1.19475 0.689792i −0.235373 0.971905i \(-0.575631\pi\)
−0.959381 + 0.282113i \(0.908965\pi\)
\(374\) −19.2639 33.3660i −0.996111 1.72532i
\(375\) −0.0494277 19.3649i −0.00255244 0.999997i
\(376\) 7.30023i 0.376481i
\(377\) −10.0010 + 15.4283i −0.515079 + 0.794596i
\(378\) −2.86867 4.49468i −0.147548 0.231182i
\(379\) −4.26028 + 15.8996i −0.218836 + 0.816707i 0.765945 + 0.642906i \(0.222271\pi\)
−0.984781 + 0.173801i \(0.944395\pi\)
\(380\) 14.3925 2.91049i 0.738318 0.149305i
\(381\) 10.5758 + 12.2309i 0.541813 + 0.626608i
\(382\) 11.5603 11.5603i 0.591478 0.591478i
\(383\) −4.79215 + 1.28405i −0.244867 + 0.0656120i −0.379165 0.925329i \(-0.623789\pi\)
0.134298 + 0.990941i \(0.457122\pi\)
\(384\) −1.72751 0.125370i −0.0881565 0.00639777i
\(385\) 6.51249 + 13.1007i 0.331907 + 0.667675i
\(386\) −20.2271 11.6781i −1.02953 0.594402i
\(387\) −1.56671 + 10.7372i −0.0796405 + 0.545804i
\(388\) 1.09874 4.10057i 0.0557802 0.208175i
\(389\) −16.9673 −0.860276 −0.430138 0.902763i \(-0.641535\pi\)
−0.430138 + 0.902763i \(0.641535\pi\)
\(390\) −10.5914 9.10068i −0.536316 0.460831i
\(391\) 8.80077 0.445074
\(392\) 1.53919 5.74435i 0.0777410 0.290133i
\(393\) −0.149301 0.779032i −0.00753124 0.0392969i
\(394\) −5.95738 3.43949i −0.300128 0.173279i
\(395\) 12.4774 6.20263i 0.627807 0.312088i
\(396\) 7.56648 17.5678i 0.380230 0.882813i
\(397\) 20.6624 5.53646i 1.03701 0.277867i 0.300139 0.953896i \(-0.402967\pi\)
0.736875 + 0.676029i \(0.236300\pi\)
\(398\) −2.57676 + 2.57676i −0.129161 + 0.129161i
\(399\) −8.82882 + 7.63407i −0.441994 + 0.382181i
\(400\) 4.96128 + 0.621062i 0.248064 + 0.0310531i
\(401\) 5.14428 19.1987i 0.256893 0.958738i −0.710134 0.704066i \(-0.751366\pi\)
0.967027 0.254672i \(-0.0819676\pi\)
\(402\) −4.73511 + 13.6350i −0.236166 + 0.680053i
\(403\) 7.10102 + 2.30074i 0.353727 + 0.114608i
\(404\) 0.265577i 0.0132130i
\(405\) 6.93943 18.8903i 0.344823 0.938668i
\(406\) 2.61642 + 4.53177i 0.129851 + 0.224908i
\(407\) 37.5681 + 21.6900i 1.86218 + 1.07513i
\(408\) 9.41897 4.56328i 0.466309 0.225916i
\(409\) 16.2635 4.35780i 0.804180 0.215479i 0.166761 0.985997i \(-0.446669\pi\)
0.637418 + 0.770518i \(0.280002\pi\)
\(410\) 0.385753 6.18713i 0.0190510 0.305561i
\(411\) −0.718978 1.48403i −0.0354646 0.0732016i
\(412\) −1.79603 1.03694i −0.0884843 0.0510864i
\(413\) 3.23975 1.87047i 0.159418 0.0920400i
\(414\) 2.61112 + 3.50330i 0.128330 + 0.172178i
\(415\) 17.0360 + 5.72253i 0.836263 + 0.280908i
\(416\) 2.67744 2.41481i 0.131272 0.118396i
\(417\) 7.91022 22.7780i 0.387365 1.11544i
\(418\) −40.4431 10.8367i −1.97814 0.530040i
\(419\) −2.16612 + 1.25061i −0.105822 + 0.0610962i −0.551977 0.833859i \(-0.686126\pi\)
0.446155 + 0.894956i \(0.352793\pi\)
\(420\) −3.67757 + 1.50689i −0.179447 + 0.0735289i
\(421\) 20.0753 + 20.0753i 0.978412 + 0.978412i 0.999772 0.0213603i \(-0.00679970\pi\)
−0.0213603 + 0.999772i \(0.506800\pi\)
\(422\) −2.12802 + 0.570201i −0.103590 + 0.0277570i
\(423\) 8.66331 20.1144i 0.421225 0.977994i
\(424\) 6.34983 6.34983i 0.308375 0.308375i
\(425\) −27.8392 + 11.7395i −1.35040 + 0.569452i
\(426\) 2.36875 0.453970i 0.114766 0.0219949i
\(427\) −2.49161 + 9.29881i −0.120577 + 0.450001i
\(428\) 3.10811i 0.150236i
\(429\) 15.4920 + 36.6806i 0.747963 + 1.77096i
\(430\) 7.66682 + 2.57535i 0.369727 + 0.124194i
\(431\) −7.79159 2.08775i −0.375308 0.100563i 0.0662340 0.997804i \(-0.478902\pi\)
−0.441542 + 0.897241i \(0.645568\pi\)
\(432\) 4.61103 + 2.39550i 0.221848 + 0.115253i
\(433\) −9.61055 + 16.6460i −0.461854 + 0.799954i −0.999053 0.0435011i \(-0.986149\pi\)
0.537200 + 0.843455i \(0.319482\pi\)
\(434\) 1.50220 1.50220i 0.0721080 0.0721080i
\(435\) −7.62749 + 18.2176i −0.365710 + 0.873467i
\(436\) −5.21567 19.4651i −0.249785 0.932211i
\(437\) 6.76289 6.76289i 0.323513 0.323513i
\(438\) 16.0335 13.8638i 0.766109 0.662436i
\(439\) −13.8805 + 8.01394i −0.662482 + 0.382484i −0.793222 0.608932i \(-0.791598\pi\)
0.130740 + 0.991417i \(0.458265\pi\)
\(440\) −11.8795 7.88306i −0.566333 0.375810i
\(441\) −11.0579 + 14.0008i −0.526565 + 0.666706i
\(442\) −6.71536 + 20.7263i −0.319417 + 0.985850i
\(443\) 0.826972 0.0392906 0.0196453 0.999807i \(-0.493746\pi\)
0.0196453 + 0.999807i \(0.493746\pi\)
\(444\) −6.61538 + 9.75223i −0.313952 + 0.462820i
\(445\) −5.06604 25.0517i −0.240154 1.18757i
\(446\) 3.52101 6.09858i 0.166725 0.288776i
\(447\) −0.955954 1.97316i −0.0452151 0.0933275i
\(448\) −0.265591 0.991200i −0.0125480 0.0468298i
\(449\) 18.4012 4.93057i 0.868404 0.232688i 0.203007 0.979177i \(-0.434929\pi\)
0.665398 + 0.746489i \(0.268262\pi\)
\(450\) −12.9328 7.59885i −0.609658 0.358213i
\(451\) −8.83820 + 15.3082i −0.416175 + 0.720835i
\(452\) 1.62016 0.935400i 0.0762060 0.0439975i
\(453\) −6.73256 + 9.92496i −0.316323 + 0.466315i
\(454\) 10.2335i 0.480281i
\(455\) 3.03483 7.69648i 0.142275 0.360817i
\(456\) 3.73132 10.7446i 0.174735 0.503161i
\(457\) −6.95921 1.86471i −0.325538 0.0872277i 0.0923488 0.995727i \(-0.470563\pi\)
−0.417887 + 0.908499i \(0.637229\pi\)
\(458\) 6.47616 + 11.2170i 0.302611 + 0.524138i
\(459\) −31.3675 + 1.39558i −1.46411 + 0.0651400i
\(460\) 2.91625 1.44969i 0.135971 0.0675923i
\(461\) 8.45238 + 31.5447i 0.393666 + 1.46918i 0.824040 + 0.566532i \(0.191715\pi\)
−0.430373 + 0.902651i \(0.641618\pi\)
\(462\) 11.3028 + 0.820273i 0.525852 + 0.0381625i
\(463\) 4.54794 + 4.54794i 0.211361 + 0.211361i 0.804845 0.593485i \(-0.202248\pi\)
−0.593485 + 0.804845i \(0.702248\pi\)
\(464\) −4.41622 2.54971i −0.205018 0.118367i
\(465\) 7.94545 + 1.07688i 0.368462 + 0.0499390i
\(466\) −18.1304 4.85802i −0.839873 0.225043i
\(467\) 9.72513i 0.450025i −0.974356 0.225013i \(-0.927758\pi\)
0.974356 0.225013i \(-0.0722424\pi\)
\(468\) −10.2429 + 3.47617i −0.473477 + 0.160686i
\(469\) −8.55142 −0.394868
\(470\) −13.6016 9.02578i −0.627393 0.416328i
\(471\) −0.245320 1.28004i −0.0113037 0.0589813i
\(472\) −1.82278 + 3.15715i −0.0839002 + 0.145319i
\(473\) −16.3071 16.3071i −0.749802 0.749802i
\(474\) 0.781246 10.7650i 0.0358838 0.494452i
\(475\) −12.3717 + 30.4140i −0.567651 + 1.39549i
\(476\) 4.38459 + 4.38459i 0.200968 + 0.200968i
\(477\) −25.0312 + 9.96026i −1.14610 + 0.456049i
\(478\) 7.18791 + 12.4498i 0.328767 + 0.569442i
\(479\) −0.625661 + 2.33500i −0.0285872 + 0.106689i −0.978745 0.205080i \(-0.934255\pi\)
0.950158 + 0.311768i \(0.100921\pi\)
\(480\) 2.36942 3.06363i 0.108149 0.139835i
\(481\) −5.12020 23.9906i −0.233461 1.09388i
\(482\) 0.984196 0.0448289
\(483\) −1.45319 + 2.14226i −0.0661226 + 0.0974763i
\(484\) 14.8265 + 25.6803i 0.673934 + 1.16729i
\(485\) 6.28159 + 7.11695i 0.285232 + 0.323164i
\(486\) −9.86202 12.0723i −0.447350 0.547611i
\(487\) −7.14100 26.6506i −0.323590 1.20765i −0.915722 0.401812i \(-0.868380\pi\)
0.592132 0.805841i \(-0.298286\pi\)
\(488\) −2.42808 9.06171i −0.109914 0.410204i
\(489\) 4.77198 2.31192i 0.215796 0.104549i
\(490\) 8.79967 + 9.96990i 0.397528 + 0.450394i
\(491\) 8.24071 + 14.2733i 0.371898 + 0.644146i 0.989858 0.142064i \(-0.0453738\pi\)
−0.617960 + 0.786210i \(0.712040\pi\)
\(492\) −3.97382 2.69563i −0.179154 0.121528i
\(493\) 30.8139 1.38779
\(494\) 10.7666 + 21.0874i 0.484413 + 0.948765i
\(495\) 23.3767 + 35.8179i 1.05070 + 1.60989i
\(496\) −0.535824 + 1.99972i −0.0240592 + 0.0897902i
\(497\) 0.714461 + 1.23748i 0.0320480 + 0.0555087i
\(498\) 10.5300 9.10505i 0.471862 0.408007i
\(499\) −25.1133 25.1133i −1.12423 1.12423i −0.991099 0.133128i \(-0.957498\pi\)
−0.133128 0.991099i \(-0.542502\pi\)
\(500\) −7.29111 + 8.47583i −0.326068 + 0.379051i
\(501\) −21.8593 1.58639i −0.976602 0.0708748i
\(502\) 6.27982 + 6.27982i 0.280282 + 0.280282i
\(503\) 17.1164 29.6465i 0.763183 1.32187i −0.178019 0.984027i \(-0.556969\pi\)
0.941202 0.337845i \(-0.109698\pi\)
\(504\) −0.444489 + 3.04624i −0.0197991 + 0.135690i
\(505\) −0.494815 0.328351i −0.0220190 0.0146114i
\(506\) −9.28625 −0.412824
\(507\) 9.53577 20.3978i 0.423498 0.905897i
\(508\) 9.33527i 0.414186i
\(509\) −3.53811 0.948033i −0.156824 0.0420208i 0.179553 0.983748i \(-0.442535\pi\)
−0.336377 + 0.941727i \(0.609202\pi\)
\(510\) −3.14317 + 23.1910i −0.139182 + 1.02692i
\(511\) 10.8754 + 6.27890i 0.481098 + 0.277762i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −23.0317 + 25.1765i −1.01687 + 1.11157i
\(514\) −1.64744 6.14831i −0.0726653 0.271191i
\(515\) 4.15256 2.06427i 0.182983 0.0909626i
\(516\) 4.73889 4.09760i 0.208618 0.180387i
\(517\) 23.2731 + 40.3101i 1.02355 + 1.77284i
\(518\) −6.74378 1.80699i −0.296305 0.0793946i
\(519\) −20.0984 6.97968i −0.882222 0.306374i
\(520\) 1.18889 + 7.97412i 0.0521362 + 0.349688i
\(521\) 16.5198i 0.723746i 0.932227 + 0.361873i \(0.117863\pi\)
−0.932227 + 0.361873i \(0.882137\pi\)
\(522\) 9.14225 + 12.2660i 0.400145 + 0.536869i
\(523\) 7.23105 4.17485i 0.316192 0.182553i −0.333502 0.942749i \(-0.608230\pi\)
0.649694 + 0.760196i \(0.274897\pi\)
\(524\) −0.228980 + 0.396605i −0.0100030 + 0.0173258i
\(525\) 1.73923 8.71500i 0.0759064 0.380354i
\(526\) −21.5298 + 5.76888i −0.938742 + 0.251535i
\(527\) −3.23779 12.0836i −0.141040 0.526370i
\(528\) −9.93856 + 4.81501i −0.432520 + 0.209546i
\(529\) −10.4394 + 18.0815i −0.453886 + 0.786154i
\(530\) 3.98006 + 19.6815i 0.172883 + 0.854911i
\(531\) 8.76895 6.53577i 0.380540 0.283628i
\(532\) 6.73862 0.292156
\(533\) 9.77566 2.08637i 0.423431 0.0903707i
\(534\) −18.7022 6.49479i −0.809321 0.281057i
\(535\) −5.79094 3.84278i −0.250364 0.166138i
\(536\) 7.21691 4.16669i 0.311723 0.179973i
\(537\) −20.1412 23.2933i −0.869156 1.00518i
\(538\) 10.5743 10.5743i 0.455888 0.455888i
\(539\) −9.81386 36.6258i −0.422713 1.57759i
\(540\) −10.1641 + 5.62940i −0.437395 + 0.242251i
\(541\) −24.6299 + 24.6299i −1.05892 + 1.05892i −0.0607697 + 0.998152i \(0.519356\pi\)
−0.998152 + 0.0607697i \(0.980644\pi\)
\(542\) 0.669002 1.15874i 0.0287361 0.0497723i
\(543\) −7.28838 38.0297i −0.312774 1.63201i
\(544\) −5.83674 1.56395i −0.250248 0.0670538i
\(545\) 42.7153 + 14.3484i 1.82972 + 0.614619i
\(546\) −3.93630 5.05699i −0.168458 0.216419i
\(547\) 22.9081i 0.979480i −0.871869 0.489740i \(-0.837092\pi\)
0.871869 0.489740i \(-0.162908\pi\)
\(548\) −0.246412 + 0.919621i −0.0105262 + 0.0392842i
\(549\) −4.06359 + 27.8492i −0.173430 + 1.18857i
\(550\) 29.3749 12.3871i 1.25255 0.528190i
\(551\) 23.6787 23.6787i 1.00875 1.00875i
\(552\) 0.182595 2.51602i 0.00777174 0.107089i
\(553\) 6.17668 1.65504i 0.262659 0.0703793i
\(554\) 12.9913 + 12.9913i 0.551948 + 0.551948i
\(555\) −9.99098 24.3829i −0.424093 1.03500i
\(556\) −12.0562 + 6.96065i −0.511297 + 0.295197i
\(557\) 40.5897 + 10.8760i 1.71984 + 0.460830i 0.977803 0.209527i \(-0.0671924\pi\)
0.742039 + 0.670357i \(0.233859\pi\)
\(558\) 3.84946 4.87397i 0.162961 0.206332i
\(559\) −0.671705 + 13.0239i −0.0284101 + 0.550851i
\(560\) 2.17514 + 0.730648i 0.0919164 + 0.0308755i
\(561\) 37.4616 55.2249i 1.58163 2.33160i
\(562\) 2.62713 1.51678i 0.110819 0.0639813i
\(563\) −15.8869 9.17233i −0.669555 0.386568i 0.126353 0.991985i \(-0.459673\pi\)
−0.795908 + 0.605418i \(0.793006\pi\)
\(564\) −11.3792 + 5.51299i −0.479153 + 0.232139i
\(565\) −0.260310 + 4.17513i −0.0109513 + 0.175649i
\(566\) 17.9321 4.80490i 0.753743 0.201965i
\(567\) 4.83973 7.86583i 0.203249 0.330334i
\(568\) −1.20593 0.696243i −0.0505997 0.0292137i
\(569\) 12.2740 + 21.2592i 0.514554 + 0.891233i 0.999857 + 0.0168875i \(0.00537570\pi\)
−0.485304 + 0.874346i \(0.661291\pi\)
\(570\) 15.4056 + 20.2363i 0.645271 + 0.847607i
\(571\) 8.11844i 0.339746i −0.985466 0.169873i \(-0.945664\pi\)
0.985466 0.169873i \(-0.0543358\pi\)
\(572\) 7.08580 21.8696i 0.296272 0.914416i
\(573\) 26.7498 + 9.28954i 1.11749 + 0.388076i
\(574\) 0.736310 2.74795i 0.0307330 0.114697i
\(575\) −0.904542 + 7.22582i −0.0377220 + 0.301338i
\(576\) −1.10916 2.78743i −0.0462149 0.116143i
\(577\) −2.57971 + 2.57971i −0.107395 + 0.107395i −0.758762 0.651368i \(-0.774196\pi\)
0.651368 + 0.758762i \(0.274196\pi\)
\(578\) 18.8486 5.05047i 0.783999 0.210072i
\(579\) 2.92818 40.3482i 0.121691 1.67681i
\(580\) 10.2106 5.07578i 0.423972 0.210760i
\(581\) 7.14242 + 4.12368i 0.296318 + 0.171079i
\(582\) 7.22151 1.38400i 0.299341 0.0573686i
\(583\) 14.8190 55.3054i 0.613742 2.29052i
\(584\) −12.2376 −0.506395
\(585\) 6.18727 23.3820i 0.255812 0.966726i
\(586\) 4.40742 0.182069
\(587\) −9.51174 + 35.4983i −0.392592 + 1.46517i 0.433252 + 0.901273i \(0.357366\pi\)
−0.825844 + 0.563899i \(0.809301\pi\)
\(588\) 10.1164 1.93880i 0.417192 0.0799547i
\(589\) −11.7736 6.79750i −0.485124 0.280086i
\(590\) −3.62866 7.29954i −0.149390 0.300517i
\(591\) 0.862420 11.8835i 0.0354752 0.488822i
\(592\) 6.57183 1.76092i 0.270100 0.0723732i
\(593\) 25.8979 25.8979i 1.06350 1.06350i 0.0656563 0.997842i \(-0.479086\pi\)
0.997842 0.0656563i \(-0.0209141\pi\)
\(594\) 33.0978 1.47256i 1.35802 0.0604200i
\(595\) −13.5902 + 2.74825i −0.557144 + 0.112667i
\(596\) −0.327629 + 1.22273i −0.0134202 + 0.0500849i
\(597\) −5.96244 2.07061i −0.244026 0.0847442i
\(598\) 3.51703 + 3.89954i 0.143822 + 0.159464i
\(599\) 32.6243i 1.33299i −0.745508 0.666496i \(-0.767793\pi\)
0.745508 0.666496i \(-0.232207\pi\)
\(600\) 2.77858 + 8.20241i 0.113435 + 0.334862i
\(601\) −0.650836 1.12728i −0.0265481 0.0459827i 0.852446 0.522815i \(-0.175118\pi\)
−0.878994 + 0.476832i \(0.841785\pi\)
\(602\) 3.21435 + 1.85581i 0.131007 + 0.0756370i
\(603\) −24.8295 + 2.91605i −1.01113 + 0.118751i
\(604\) 6.68823 1.79211i 0.272140 0.0729197i
\(605\) −66.1778 4.12603i −2.69051 0.167747i
\(606\) −0.413968 + 0.200559i −0.0168163 + 0.00814713i
\(607\) 9.40438 + 5.42962i 0.381712 + 0.220382i 0.678563 0.734542i \(-0.262603\pi\)
−0.296851 + 0.954924i \(0.595936\pi\)
\(608\) −5.68701 + 3.28340i −0.230639 + 0.133159i
\(609\) −5.08803 + 7.50065i −0.206178 + 0.303942i
\(610\) 19.8855 + 6.67970i 0.805139 + 0.270453i
\(611\) 8.11295 25.0399i 0.328215 1.01300i
\(612\) 14.2260 + 11.2357i 0.575054 + 0.454177i
\(613\) 25.3350 + 6.78849i 1.02327 + 0.274185i 0.731164 0.682201i \(-0.238977\pi\)
0.292106 + 0.956386i \(0.405644\pi\)
\(614\) −15.2694 + 8.81576i −0.616221 + 0.355775i
\(615\) 9.93551 4.07111i 0.400638 0.164163i
\(616\) −4.62646 4.62646i −0.186406 0.186406i
\(617\) −33.9205 + 9.08897i −1.36559 + 0.365908i −0.865865 0.500278i \(-0.833231\pi\)
−0.499722 + 0.866186i \(0.666565\pi\)
\(618\) 0.260003 3.58265i 0.0104588 0.144115i
\(619\) 27.0126 27.0126i 1.08573 1.08573i 0.0897654 0.995963i \(-0.471388\pi\)
0.995963 0.0897654i \(-0.0286117\pi\)
\(620\) −3.06334 3.47072i −0.123027 0.139388i
\(621\) −3.48890 + 6.71571i −0.140005 + 0.269492i
\(622\) 3.13552 11.7019i 0.125723 0.469204i
\(623\) 11.7293i 0.469926i
\(624\) 5.78604 + 2.34985i 0.231627 + 0.0940692i
\(625\) −6.77738 24.0638i −0.271095 0.962553i
\(626\) −3.80964 1.02079i −0.152264 0.0407990i
\(627\) −13.6501 71.2243i −0.545133 2.84443i
\(628\) −0.376242 + 0.651670i −0.0150137 + 0.0260045i
\(629\) −29.0706 + 29.0706i −1.15912 + 1.15912i
\(630\) −5.12610 4.59443i −0.204229 0.183047i
\(631\) 7.77905 + 29.0318i 0.309679 + 1.15574i 0.928842 + 0.370475i \(0.120805\pi\)
−0.619163 + 0.785262i \(0.712528\pi\)
\(632\) −4.40635 + 4.40635i −0.175275 + 0.175275i
\(633\) −2.49584 2.88645i −0.0992007 0.114726i
\(634\) −10.7891 + 6.22911i −0.428492 + 0.247390i
\(635\) 17.3932 + 11.5418i 0.690227 + 0.458024i
\(636\) 14.6931 + 5.10253i 0.582618 + 0.202329i
\(637\) −11.6633 + 17.9926i −0.462117 + 0.712893i
\(638\) −32.5137 −1.28723
\(639\) 2.49646 + 3.34946i 0.0987583 + 0.132503i
\(640\) −2.19170 + 0.443213i −0.0866347 + 0.0175195i
\(641\) 14.0560 24.3458i 0.555180 0.961601i −0.442709 0.896665i \(-0.645983\pi\)
0.997889 0.0649353i \(-0.0206841\pi\)
\(642\) −4.84478 + 2.34719i −0.191208 + 0.0926360i
\(643\) 4.85146 + 18.1059i 0.191323 + 0.714027i 0.993188 + 0.116522i \(0.0371745\pi\)
−0.801865 + 0.597505i \(0.796159\pi\)
\(644\) 1.44363 0.386819i 0.0568869 0.0152428i
\(645\) 1.77550 + 13.8955i 0.0699103 + 0.547135i
\(646\) 19.8404 34.3646i 0.780610 1.35206i
\(647\) −18.2568 + 10.5406i −0.717749 + 0.414392i −0.813923 0.580972i \(-0.802673\pi\)
0.0961748 + 0.995364i \(0.469339\pi\)
\(648\) −0.251822 + 8.99648i −0.00989251 + 0.353415i
\(649\) 23.2440i 0.912407i
\(650\) −16.3270 7.64385i −0.640398 0.299817i
\(651\) 3.47599 + 1.20712i 0.136235 + 0.0473109i
\(652\) −2.95710 0.792352i −0.115809 0.0310309i
\(653\) 11.1059 + 19.2360i 0.434607 + 0.752761i 0.997263 0.0739297i \(-0.0235540\pi\)
−0.562657 + 0.826691i \(0.690221\pi\)
\(654\) 26.4025 22.8296i 1.03242 0.892708i
\(655\) −0.455837 0.916977i −0.0178110 0.0358293i
\(656\) 0.717535 + 2.67788i 0.0280150 + 0.104554i
\(657\) 33.7183 + 14.5226i 1.31548 + 0.566579i
\(658\) −5.29711 5.29711i −0.206503 0.206503i
\(659\) 29.0572 + 16.7762i 1.13191 + 0.653507i 0.944414 0.328759i \(-0.106630\pi\)
0.187494 + 0.982266i \(0.439964\pi\)
\(660\) 3.31655 24.4703i 0.129097 0.952506i
\(661\) 0.0849181 + 0.0227537i 0.00330293 + 0.000885018i 0.260470 0.965482i \(-0.416122\pi\)
−0.257167 + 0.966367i \(0.582789\pi\)
\(662\) 4.39690i 0.170890i
\(663\) −37.3784 + 5.18453i −1.45166 + 0.201350i
\(664\) −8.03706 −0.311899
\(665\) −8.33142 + 12.5552i −0.323079 + 0.486869i
\(666\) −20.1971 2.94704i −0.782621 0.114196i
\(667\) 3.71350 6.43197i 0.143787 0.249047i
\(668\) 8.94750 + 8.94750i 0.346189 + 0.346189i
\(669\) 12.1652 + 0.882860i 0.470332 + 0.0341333i
\(670\) −1.15953 + 18.5979i −0.0447967 + 0.718498i
\(671\) −42.2959 42.2959i −1.63281 1.63281i
\(672\) 1.34446 1.16252i 0.0518638 0.0448454i
\(673\) −14.6908 25.4452i −0.566288 0.980840i −0.996929 0.0783166i \(-0.975046\pi\)
0.430640 0.902524i \(-0.358288\pi\)
\(674\) 0.509601 1.90186i 0.0196291 0.0732568i
\(675\) 2.07811 25.8975i 0.0799866 0.996796i
\(676\) −11.8673 + 5.30730i −0.456434 + 0.204127i
\(677\) −17.6086 −0.676752 −0.338376 0.941011i \(-0.609878\pi\)
−0.338376 + 0.941011i \(0.609878\pi\)
\(678\) 2.68157 + 1.81903i 0.102985 + 0.0698595i
\(679\) 2.17815 + 3.77266i 0.0835897 + 0.144782i
\(680\) 10.1303 8.94121i 0.388478 0.342880i
\(681\) 15.9514 7.72812i 0.611260 0.296142i
\(682\) 3.41640 + 12.7502i 0.130821 + 0.488230i
\(683\) 8.68055 + 32.3962i 0.332152 + 1.23961i 0.906924 + 0.421294i \(0.138424\pi\)
−0.574772 + 0.818314i \(0.694909\pi\)
\(684\) 19.5659 2.29789i 0.748122 0.0878619i
\(685\) −1.40875 1.59610i −0.0538256 0.0609837i
\(686\) 6.64287 + 11.5058i 0.253626 + 0.439293i
\(687\) −12.5939 + 18.5656i −0.480487 + 0.708322i
\(688\) −3.61697 −0.137896
\(689\) −28.8367 + 14.7232i −1.09859 + 0.560910i
\(690\) 4.46201 + 3.45093i 0.169866 + 0.131375i
\(691\) 0.0923062 0.344492i 0.00351150 0.0131051i −0.964148 0.265366i \(-0.914507\pi\)
0.967659 + 0.252261i \(0.0811740\pi\)
\(692\) 6.14181 + 10.6379i 0.233477 + 0.404393i
\(693\) 7.25701 + 18.2376i 0.275671 + 0.692790i
\(694\) 18.5473 + 18.5473i 0.704045 + 0.704045i
\(695\) 1.93706 31.0687i 0.0734768 1.17850i
\(696\) 0.639314 8.80927i 0.0242331 0.333915i
\(697\) −11.8456 11.8456i −0.448686 0.448686i
\(698\) 5.37784 9.31469i 0.203554 0.352566i
\(699\) −6.11926 31.9294i −0.231452 1.20768i
\(700\) −4.05059 + 3.14930i −0.153098 + 0.119032i
\(701\) −1.95412 −0.0738062 −0.0369031 0.999319i \(-0.511749\pi\)
−0.0369031 + 0.999319i \(0.511749\pi\)
\(702\) −13.1537 13.3409i −0.496454 0.503521i
\(703\) 44.6782i 1.68507i
\(704\) 6.15872 + 1.65022i 0.232116 + 0.0621952i
\(705\) 3.79732 28.0175i 0.143015 1.05520i
\(706\) −5.83128 3.36669i −0.219463 0.126707i
\(707\) −0.192705 0.192705i −0.00724742 0.00724742i
\(708\) −6.29773 0.457044i −0.236683 0.0171768i
\(709\) 10.5960 + 39.5447i 0.397940 + 1.48513i 0.816714 + 0.577043i \(0.195793\pi\)
−0.418774 + 0.908091i \(0.637540\pi\)
\(710\) 2.78819 1.38603i 0.104639 0.0520169i
\(711\) 17.3699 6.91174i 0.651423 0.259210i
\(712\) 5.71513 + 9.89890i 0.214184 + 0.370977i
\(713\) −2.91248 0.780397i −0.109073 0.0292261i
\(714\) −3.52333 + 10.1456i −0.131857 + 0.379691i
\(715\) 31.9861 + 40.2410i 1.19621 + 1.50493i
\(716\) 17.7787i 0.664421i
\(717\) −13.9780 + 20.6060i −0.522018 + 0.769546i
\(718\) 12.6287 7.29120i 0.471300 0.272105i
\(719\) 7.18236 12.4402i 0.267857 0.463942i −0.700451 0.713700i \(-0.747018\pi\)
0.968308 + 0.249758i \(0.0803512\pi\)
\(720\) 6.56478 + 1.37974i 0.244655 + 0.0514200i
\(721\) 2.05563 0.550805i 0.0765557 0.0205130i
\(722\) −6.24345 23.3009i −0.232357 0.867169i
\(723\) 0.743245 + 1.53412i 0.0276416 + 0.0570544i
\(724\) −11.1780 + 19.3609i −0.415428 + 0.719543i
\(725\) −3.16705 + 25.2996i −0.117621 + 0.939603i
\(726\) −28.8325 + 42.5042i −1.07007 + 1.57748i
\(727\) −19.0475 −0.706431 −0.353216 0.935542i \(-0.614912\pi\)
−0.353216 + 0.935542i \(0.614912\pi\)
\(728\) −0.190568 + 3.69498i −0.00706293 + 0.136945i
\(729\) 11.3701 24.4892i 0.421116 0.907007i
\(730\) 15.1302 22.8007i 0.559993 0.843891i
\(731\) 18.9279 10.9280i 0.700074 0.404188i
\(732\) 12.2913 10.6280i 0.454300 0.392822i
\(733\) 7.21470 7.21470i 0.266481 0.266481i −0.561199 0.827681i \(-0.689660\pi\)
0.827681 + 0.561199i \(0.189660\pi\)
\(734\) 7.02265 + 26.2089i 0.259211 + 0.967387i
\(735\) −8.89526 + 21.2456i −0.328107 + 0.783654i
\(736\) −1.02986 + 1.02986i −0.0379612 + 0.0379612i
\(737\) 26.5667 46.0149i 0.978597 1.69498i
\(738\) 1.20086 8.22988i 0.0442041 0.302946i
\(739\) −49.2761 13.2035i −1.81265 0.485699i −0.816819 0.576894i \(-0.804264\pi\)
−0.995833 + 0.0911958i \(0.970931\pi\)
\(740\) −4.84432 + 14.4216i −0.178081 + 0.530147i
\(741\) −24.7392 + 32.7072i −0.908817 + 1.20153i
\(742\) 9.21498i 0.338293i
\(743\) 2.18816 8.16631i 0.0802757 0.299593i −0.914102 0.405484i \(-0.867103\pi\)
0.994378 + 0.105891i \(0.0337696\pi\)
\(744\) −3.52171 + 0.674934i −0.129112 + 0.0247443i
\(745\) −1.87308 2.12217i −0.0686243 0.0777504i
\(746\) −18.8403 + 18.8403i −0.689792 + 0.689792i
\(747\) 22.1446 + 9.53772i 0.810227 + 0.348967i
\(748\) −37.2150 + 9.97172i −1.36071 + 0.364602i
\(749\) −2.25527 2.25527i −0.0824059 0.0824059i
\(750\) −18.7178 4.96425i −0.683478 0.181269i
\(751\) 10.1598 5.86579i 0.370738 0.214046i −0.303043 0.952977i \(-0.598003\pi\)
0.673781 + 0.738931i \(0.264669\pi\)
\(752\) 7.05148 + 1.88944i 0.257141 + 0.0689008i
\(753\) −5.04627 + 14.5311i −0.183896 + 0.529541i
\(754\) 12.3141 + 13.6534i 0.448453 + 0.497227i
\(755\) −4.93013 + 14.6770i −0.179426 + 0.534150i
\(756\) −5.08400 + 1.60761i −0.184903 + 0.0584682i
\(757\) 0.892625 0.515357i 0.0324430 0.0187310i −0.483691 0.875239i \(-0.660704\pi\)
0.516134 + 0.856508i \(0.327371\pi\)
\(758\) 14.2552 + 8.23023i 0.517771 + 0.298935i
\(759\) −7.01279 14.4750i −0.254548 0.525407i
\(760\) 0.913727 14.6554i 0.0331443 0.531605i
\(761\) −8.63105 + 2.31268i −0.312875 + 0.0838347i −0.411840 0.911256i \(-0.635114\pi\)
0.0989644 + 0.995091i \(0.468447\pi\)
\(762\) 14.5514 7.04981i 0.527140 0.255388i
\(763\) 17.9086 + 10.3395i 0.648335 + 0.374316i
\(764\) −8.17439 14.1585i −0.295739 0.512235i
\(765\) −38.5227 + 12.6140i −1.39279 + 0.456060i
\(766\) 4.96120i 0.179255i
\(767\) 9.76077 8.80333i 0.352441 0.317870i
\(768\) −0.568210 + 1.63620i −0.0205035 + 0.0590411i
\(769\) −0.331235 + 1.23619i −0.0119447 + 0.0445780i −0.971641 0.236461i \(-0.924012\pi\)
0.959696 + 0.281039i \(0.0906791\pi\)
\(770\) 14.3399 2.89986i 0.516774 0.104504i
\(771\) 8.33958 7.21103i 0.300343 0.259699i
\(772\) −16.5154 + 16.5154i −0.594402 + 0.594402i
\(773\) −12.9339 + 3.46564i −0.465201 +