Properties

Label 585.2.i.h.196.2
Level $585$
Weight $2$
Character 585.196
Analytic conductor $4.671$
Analytic rank $0$
Dimension $30$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(30\)
Relative dimension: \(15\) over \(\Q(\zeta_{3})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 196.2
Character \(\chi\) \(=\) 585.196
Dual form 585.2.i.h.391.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.26000 + 2.18239i) q^{2} +(-1.67966 + 0.422782i) q^{3} +(-2.17520 - 3.76756i) q^{4} +(0.500000 + 0.866025i) q^{5} +(1.19370 - 4.19837i) q^{6} +(-1.50610 + 2.60865i) q^{7} +5.92303 q^{8} +(2.64251 - 1.42026i) q^{9} +O(q^{10})\) \(q+(-1.26000 + 2.18239i) q^{2} +(-1.67966 + 0.422782i) q^{3} +(-2.17520 - 3.76756i) q^{4} +(0.500000 + 0.866025i) q^{5} +(1.19370 - 4.19837i) q^{6} +(-1.50610 + 2.60865i) q^{7} +5.92303 q^{8} +(2.64251 - 1.42026i) q^{9} -2.52000 q^{10} +(2.87407 - 4.97804i) q^{11} +(5.24646 + 5.40859i) q^{12} +(-0.500000 - 0.866025i) q^{13} +(-3.79538 - 6.57380i) q^{14} +(-1.20597 - 1.24324i) q^{15} +(-3.11262 + 5.39121i) q^{16} +5.46275 q^{17} +(-0.230017 + 7.55650i) q^{18} +5.89643 q^{19} +(2.17520 - 3.76756i) q^{20} +(1.42685 - 5.01839i) q^{21} +(7.24267 + 12.5447i) q^{22} +(-4.19558 - 7.26696i) q^{23} +(-9.94868 + 2.50415i) q^{24} +(-0.500000 + 0.866025i) q^{25} +2.52000 q^{26} +(-3.83806 + 3.50275i) q^{27} +13.1043 q^{28} +(-1.68740 + 2.92266i) q^{29} +(4.23274 - 1.06541i) q^{30} +(2.14772 + 3.71995i) q^{31} +(-1.92077 - 3.32687i) q^{32} +(-2.72284 + 9.57651i) q^{33} +(-6.88307 + 11.9218i) q^{34} -3.01221 q^{35} +(-11.0989 - 6.86648i) q^{36} -4.29747 q^{37} +(-7.42951 + 12.8683i) q^{38} +(1.20597 + 1.24324i) q^{39} +(2.96152 + 5.12950i) q^{40} +(3.28126 + 5.68331i) q^{41} +(9.15423 + 9.43712i) q^{42} +(0.327030 - 0.566432i) q^{43} -25.0068 q^{44} +(2.55124 + 1.57835i) q^{45} +21.1458 q^{46} +(5.20502 - 9.01537i) q^{47} +(2.94883 - 10.3714i) q^{48} +(-1.03670 - 1.79561i) q^{49} +(-1.26000 - 2.18239i) q^{50} +(-9.17556 + 2.30955i) q^{51} +(-2.17520 + 3.76756i) q^{52} +6.03463 q^{53} +(-2.80840 - 12.7896i) q^{54} +5.74814 q^{55} +(-8.92070 + 15.4511i) q^{56} +(-9.90399 + 2.49290i) q^{57} +(-4.25224 - 7.36510i) q^{58} +(-3.77936 - 6.54605i) q^{59} +(-2.06075 + 7.24786i) q^{60} +(-3.01078 + 5.21482i) q^{61} -10.8245 q^{62} +(-0.274943 + 9.03244i) q^{63} -2.76979 q^{64} +(0.500000 - 0.866025i) q^{65} +(-17.4689 - 18.0087i) q^{66} +(-2.84821 - 4.93325i) q^{67} +(-11.8826 - 20.5813i) q^{68} +(10.1195 + 10.4322i) q^{69} +(3.79538 - 6.57380i) q^{70} +2.00130 q^{71} +(15.6517 - 8.41223i) q^{72} +12.4518 q^{73} +(5.41482 - 9.37874i) q^{74} +(0.473690 - 1.66602i) q^{75} +(-12.8259 - 22.2152i) q^{76} +(8.65730 + 14.9949i) q^{77} +(-4.23274 + 1.06541i) q^{78} +(-6.82366 + 11.8189i) q^{79} -6.22524 q^{80} +(4.96574 - 7.50610i) q^{81} -16.5376 q^{82} +(3.08125 - 5.33688i) q^{83} +(-22.0108 + 5.54027i) q^{84} +(2.73138 + 4.73088i) q^{85} +(0.824115 + 1.42741i) q^{86} +(1.59861 - 5.62247i) q^{87} +(17.0232 - 29.4851i) q^{88} +2.25804 q^{89} +(-6.65913 + 3.57905i) q^{90} +3.01221 q^{91} +(-18.2525 + 31.6143i) q^{92} +(-5.18016 - 5.34024i) q^{93} +(13.1167 + 22.7187i) q^{94} +(2.94822 + 5.10646i) q^{95} +(4.63278 + 4.77594i) q^{96} +(-3.12468 + 5.41211i) q^{97} +5.22496 q^{98} +(0.524670 - 17.2364i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 30 q + q^{2} + q^{3} - 21 q^{4} + 15 q^{5} - 9 q^{6} - 10 q^{7} + q^{9} + 2 q^{10} + 9 q^{11} + 18 q^{12} - 15 q^{13} + 3 q^{14} + 2 q^{15} - 33 q^{16} + 6 q^{17} + 9 q^{18} + 30 q^{19} + 21 q^{20} + 9 q^{21} - 10 q^{22} - 6 q^{23} + 24 q^{24} - 15 q^{25} - 2 q^{26} - 2 q^{27} + 70 q^{28} + 8 q^{29} - 6 q^{30} - 22 q^{31} + 21 q^{32} - 20 q^{33} - 9 q^{34} - 20 q^{35} - 7 q^{36} + 8 q^{37} - 14 q^{38} - 2 q^{39} + 13 q^{41} + 21 q^{42} - 24 q^{43} + 10 q^{44} - 7 q^{45} - 6 q^{46} - q^{47} - 27 q^{48} - 37 q^{49} + q^{50} - q^{51} - 21 q^{52} + 14 q^{53} - 24 q^{54} + 18 q^{55} + 17 q^{56} - 55 q^{57} - 22 q^{58} + 19 q^{59} + 9 q^{60} - 16 q^{61} + 26 q^{62} + 4 q^{63} + 72 q^{64} + 15 q^{65} + 24 q^{66} - 11 q^{67} - 28 q^{68} + 44 q^{69} - 3 q^{70} - 56 q^{71} - 18 q^{72} + 52 q^{73} + 8 q^{74} + q^{75} - 18 q^{76} - 24 q^{77} + 6 q^{78} - 44 q^{79} - 66 q^{80} + 37 q^{81} + 70 q^{82} - 3 q^{83} - 139 q^{84} + 3 q^{85} + 40 q^{86} + 60 q^{87} - 37 q^{88} - 8 q^{89} - 12 q^{90} + 20 q^{91} - 74 q^{92} - 55 q^{93} - 2 q^{94} + 15 q^{95} + 55 q^{96} - 33 q^{97} + 6 q^{98} + 26 q^{99}+O(q^{100}) \) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.26000 + 2.18239i −0.890955 + 1.54318i −0.0522229 + 0.998635i \(0.516631\pi\)
−0.838732 + 0.544544i \(0.816703\pi\)
\(3\) −1.67966 + 0.422782i −0.969752 + 0.244093i
\(4\) −2.17520 3.76756i −1.08760 1.88378i
\(5\) 0.500000 + 0.866025i 0.223607 + 0.387298i
\(6\) 1.19370 4.19837i 0.487326 1.71398i
\(7\) −1.50610 + 2.60865i −0.569254 + 0.985976i 0.427386 + 0.904069i \(0.359434\pi\)
−0.996640 + 0.0819073i \(0.973899\pi\)
\(8\) 5.92303 2.09411
\(9\) 2.64251 1.42026i 0.880837 0.473419i
\(10\) −2.52000 −0.796894
\(11\) 2.87407 4.97804i 0.866565 1.50094i 0.00108088 0.999999i \(-0.499656\pi\)
0.865484 0.500936i \(-0.167011\pi\)
\(12\) 5.24646 + 5.40859i 1.51452 + 1.56132i
\(13\) −0.500000 0.866025i −0.138675 0.240192i
\(14\) −3.79538 6.57380i −1.01436 1.75692i
\(15\) −1.20597 1.24324i −0.311380 0.321002i
\(16\) −3.11262 + 5.39121i −0.778154 + 1.34780i
\(17\) 5.46275 1.32491 0.662456 0.749101i \(-0.269514\pi\)
0.662456 + 0.749101i \(0.269514\pi\)
\(18\) −0.230017 + 7.55650i −0.0542154 + 1.78109i
\(19\) 5.89643 1.35273 0.676367 0.736565i \(-0.263553\pi\)
0.676367 + 0.736565i \(0.263553\pi\)
\(20\) 2.17520 3.76756i 0.486390 0.842453i
\(21\) 1.42685 5.01839i 0.311365 1.09510i
\(22\) 7.24267 + 12.5447i 1.54414 + 2.67453i
\(23\) −4.19558 7.26696i −0.874840 1.51527i −0.856933 0.515427i \(-0.827633\pi\)
−0.0179064 0.999840i \(-0.505700\pi\)
\(24\) −9.94868 + 2.50415i −2.03077 + 0.511157i
\(25\) −0.500000 + 0.866025i −0.100000 + 0.173205i
\(26\) 2.52000 0.494213
\(27\) −3.83806 + 3.50275i −0.738635 + 0.674105i
\(28\) 13.1043 2.47649
\(29\) −1.68740 + 2.92266i −0.313342 + 0.542724i −0.979084 0.203458i \(-0.934782\pi\)
0.665742 + 0.746182i \(0.268115\pi\)
\(30\) 4.23274 1.06541i 0.772790 0.194516i
\(31\) 2.14772 + 3.71995i 0.385741 + 0.668123i 0.991872 0.127242i \(-0.0406124\pi\)
−0.606131 + 0.795365i \(0.707279\pi\)
\(32\) −1.92077 3.32687i −0.339547 0.588113i
\(33\) −2.72284 + 9.57651i −0.473986 + 1.66706i
\(34\) −6.88307 + 11.9218i −1.18044 + 2.04458i
\(35\) −3.01221 −0.509156
\(36\) −11.0989 6.86648i −1.84982 1.14441i
\(37\) −4.29747 −0.706500 −0.353250 0.935529i \(-0.614923\pi\)
−0.353250 + 0.935529i \(0.614923\pi\)
\(38\) −7.42951 + 12.8683i −1.20523 + 2.08751i
\(39\) 1.20597 + 1.24324i 0.193110 + 0.199077i
\(40\) 2.96152 + 5.12950i 0.468257 + 0.811045i
\(41\) 3.28126 + 5.68331i 0.512447 + 0.887585i 0.999896 + 0.0144329i \(0.00459429\pi\)
−0.487449 + 0.873152i \(0.662072\pi\)
\(42\) 9.15423 + 9.43712i 1.41253 + 1.45618i
\(43\) 0.327030 0.566432i 0.0498716 0.0863801i −0.840012 0.542568i \(-0.817452\pi\)
0.889884 + 0.456188i \(0.150785\pi\)
\(44\) −25.0068 −3.76991
\(45\) 2.55124 + 1.57835i 0.380316 + 0.235287i
\(46\) 21.1458 3.11777
\(47\) 5.20502 9.01537i 0.759231 1.31503i −0.184012 0.982924i \(-0.558909\pi\)
0.943243 0.332103i \(-0.107758\pi\)
\(48\) 2.94883 10.3714i 0.425627 1.49698i
\(49\) −1.03670 1.79561i −0.148100 0.256516i
\(50\) −1.26000 2.18239i −0.178191 0.308636i
\(51\) −9.17556 + 2.30955i −1.28484 + 0.323402i
\(52\) −2.17520 + 3.76756i −0.301647 + 0.522467i
\(53\) 6.03463 0.828920 0.414460 0.910068i \(-0.363970\pi\)
0.414460 + 0.910068i \(0.363970\pi\)
\(54\) −2.80840 12.7896i −0.382175 1.74044i
\(55\) 5.74814 0.775080
\(56\) −8.92070 + 15.4511i −1.19208 + 2.06474i
\(57\) −9.90399 + 2.49290i −1.31182 + 0.330193i
\(58\) −4.25224 7.36510i −0.558347 0.967085i
\(59\) −3.77936 6.54605i −0.492031 0.852223i 0.507927 0.861400i \(-0.330412\pi\)
−0.999958 + 0.00917755i \(0.997079\pi\)
\(60\) −2.06075 + 7.24786i −0.266041 + 0.935695i
\(61\) −3.01078 + 5.21482i −0.385490 + 0.667689i −0.991837 0.127512i \(-0.959301\pi\)
0.606347 + 0.795200i \(0.292634\pi\)
\(62\) −10.8245 −1.37471
\(63\) −0.274943 + 9.03244i −0.0346396 + 1.13798i
\(64\) −2.76979 −0.346224
\(65\) 0.500000 0.866025i 0.0620174 0.107417i
\(66\) −17.4689 18.0087i −2.15027 2.21672i
\(67\) −2.84821 4.93325i −0.347965 0.602693i 0.637923 0.770100i \(-0.279794\pi\)
−0.985888 + 0.167407i \(0.946460\pi\)
\(68\) −11.8826 20.5813i −1.44098 2.49584i
\(69\) 10.1195 + 10.4322i 1.21824 + 1.25589i
\(70\) 3.79538 6.57380i 0.453635 0.785719i
\(71\) 2.00130 0.237511 0.118755 0.992924i \(-0.462110\pi\)
0.118755 + 0.992924i \(0.462110\pi\)
\(72\) 15.6517 8.41223i 1.84457 0.991391i
\(73\) 12.4518 1.45738 0.728689 0.684845i \(-0.240130\pi\)
0.728689 + 0.684845i \(0.240130\pi\)
\(74\) 5.41482 9.37874i 0.629460 1.09026i
\(75\) 0.473690 1.66602i 0.0546970 0.192375i
\(76\) −12.8259 22.2152i −1.47124 2.54826i
\(77\) 8.65730 + 14.9949i 0.986591 + 1.70883i
\(78\) −4.23274 + 1.06541i −0.479264 + 0.120634i
\(79\) −6.82366 + 11.8189i −0.767721 + 1.32973i 0.171074 + 0.985258i \(0.445276\pi\)
−0.938796 + 0.344474i \(0.888057\pi\)
\(80\) −6.22524 −0.696002
\(81\) 4.96574 7.50610i 0.551748 0.834011i
\(82\) −16.5376 −1.82627
\(83\) 3.08125 5.33688i 0.338211 0.585799i −0.645885 0.763434i \(-0.723512\pi\)
0.984096 + 0.177636i \(0.0568449\pi\)
\(84\) −22.0108 + 5.54027i −2.40158 + 0.604493i
\(85\) 2.73138 + 4.73088i 0.296259 + 0.513136i
\(86\) 0.824115 + 1.42741i 0.0888666 + 0.153922i
\(87\) 1.59861 5.62247i 0.171389 0.602792i
\(88\) 17.0232 29.4851i 1.81468 3.14312i
\(89\) 2.25804 0.239351 0.119676 0.992813i \(-0.461815\pi\)
0.119676 + 0.992813i \(0.461815\pi\)
\(90\) −6.65913 + 3.57905i −0.701934 + 0.377265i
\(91\) 3.01221 0.315765
\(92\) −18.2525 + 31.6143i −1.90295 + 3.29601i
\(93\) −5.18016 5.34024i −0.537157 0.553757i
\(94\) 13.1167 + 22.7187i 1.35288 + 2.34326i
\(95\) 2.94822 + 5.10646i 0.302480 + 0.523912i
\(96\) 4.63278 + 4.77594i 0.472831 + 0.487443i
\(97\) −3.12468 + 5.41211i −0.317263 + 0.549516i −0.979916 0.199411i \(-0.936097\pi\)
0.662653 + 0.748927i \(0.269431\pi\)
\(98\) 5.22496 0.527801
\(99\) 0.524670 17.2364i 0.0527313 1.73233i
\(100\) 4.35041 0.435041
\(101\) 2.97789 5.15786i 0.296311 0.513226i −0.678978 0.734159i \(-0.737577\pi\)
0.975289 + 0.220933i \(0.0709101\pi\)
\(102\) 6.52089 22.9346i 0.645664 2.27087i
\(103\) 3.18407 + 5.51497i 0.313736 + 0.543406i 0.979168 0.203052i \(-0.0650861\pi\)
−0.665432 + 0.746458i \(0.731753\pi\)
\(104\) −2.96152 5.12950i −0.290401 0.502989i
\(105\) 5.05948 1.27351i 0.493755 0.124281i
\(106\) −7.60364 + 13.1699i −0.738531 + 1.27917i
\(107\) 12.7993 1.23735 0.618675 0.785647i \(-0.287670\pi\)
0.618675 + 0.785647i \(0.287670\pi\)
\(108\) 21.5454 + 6.84093i 2.07321 + 0.658269i
\(109\) 9.44687 0.904846 0.452423 0.891804i \(-0.350560\pi\)
0.452423 + 0.891804i \(0.350560\pi\)
\(110\) −7.24267 + 12.5447i −0.690561 + 1.19609i
\(111\) 7.21829 1.81689i 0.685129 0.172452i
\(112\) −9.37585 16.2395i −0.885935 1.53448i
\(113\) 6.83370 + 11.8363i 0.642860 + 1.11347i 0.984791 + 0.173742i \(0.0555858\pi\)
−0.341931 + 0.939725i \(0.611081\pi\)
\(114\) 7.03857 24.7554i 0.659222 2.31855i
\(115\) 4.19558 7.26696i 0.391240 0.677648i
\(116\) 14.6817 1.36316
\(117\) −2.55124 1.57835i −0.235862 0.145919i
\(118\) 19.0480 1.75351
\(119\) −8.22747 + 14.2504i −0.754211 + 1.30633i
\(120\) −7.14300 7.36373i −0.652063 0.672214i
\(121\) −11.0206 19.0882i −1.00187 1.73529i
\(122\) −7.58716 13.1413i −0.686909 1.18976i
\(123\) −7.91420 8.15877i −0.713600 0.735652i
\(124\) 9.34344 16.1833i 0.839066 1.45330i
\(125\) −1.00000 −0.0894427
\(126\) −19.3658 11.9809i −1.72525 1.06734i
\(127\) 4.37449 0.388173 0.194086 0.980984i \(-0.437826\pi\)
0.194086 + 0.980984i \(0.437826\pi\)
\(128\) 7.33147 12.6985i 0.648017 1.12240i
\(129\) −0.309821 + 1.08967i −0.0272783 + 0.0959405i
\(130\) 1.26000 + 2.18239i 0.110509 + 0.191408i
\(131\) 6.63317 + 11.4890i 0.579542 + 1.00380i 0.995532 + 0.0944275i \(0.0301021\pi\)
−0.415989 + 0.909370i \(0.636565\pi\)
\(132\) 42.0029 10.5724i 3.65588 0.920209i
\(133\) −8.88064 + 15.3817i −0.770049 + 1.33376i
\(134\) 14.3550 1.24008
\(135\) −4.95250 1.57248i −0.426244 0.135338i
\(136\) 32.3560 2.77451
\(137\) 5.31072 9.19844i 0.453725 0.785876i −0.544888 0.838509i \(-0.683428\pi\)
0.998614 + 0.0526330i \(0.0167613\pi\)
\(138\) −35.5177 + 8.94003i −3.02346 + 0.761026i
\(139\) −2.22628 3.85603i −0.188831 0.327064i 0.756030 0.654537i \(-0.227136\pi\)
−0.944861 + 0.327473i \(0.893803\pi\)
\(140\) 6.55217 + 11.3487i 0.553759 + 0.959139i
\(141\) −4.93114 + 17.3433i −0.415277 + 1.46057i
\(142\) −2.52164 + 4.36761i −0.211612 + 0.366522i
\(143\) −5.74814 −0.480684
\(144\) −0.568217 + 18.6671i −0.0473514 + 1.55559i
\(145\) −3.37479 −0.280261
\(146\) −15.6893 + 27.1747i −1.29846 + 2.24899i
\(147\) 2.50045 + 2.57772i 0.206234 + 0.212607i
\(148\) 9.34788 + 16.1910i 0.768391 + 1.33089i
\(149\) 8.18081 + 14.1696i 0.670198 + 1.16082i 0.977848 + 0.209318i \(0.0671242\pi\)
−0.307650 + 0.951500i \(0.599542\pi\)
\(150\) 3.03904 + 3.13296i 0.248137 + 0.255805i
\(151\) 2.99210 5.18246i 0.243493 0.421743i −0.718214 0.695823i \(-0.755040\pi\)
0.961707 + 0.274080i \(0.0883733\pi\)
\(152\) 34.9247 2.83277
\(153\) 14.4354 7.75851i 1.16703 0.627239i
\(154\) −43.6328 −3.51603
\(155\) −2.14772 + 3.71995i −0.172509 + 0.298794i
\(156\) 2.06075 7.24786i 0.164992 0.580293i
\(157\) −3.11451 5.39449i −0.248565 0.430527i 0.714563 0.699571i \(-0.246626\pi\)
−0.963128 + 0.269044i \(0.913292\pi\)
\(158\) −17.1956 29.7837i −1.36801 2.36946i
\(159\) −10.1361 + 2.55133i −0.803847 + 0.202334i
\(160\) 1.92077 3.32687i 0.151850 0.263012i
\(161\) 25.2759 1.99202
\(162\) 10.1244 + 20.2948i 0.795445 + 1.59451i
\(163\) −2.42340 −0.189815 −0.0949076 0.995486i \(-0.530256\pi\)
−0.0949076 + 0.995486i \(0.530256\pi\)
\(164\) 14.2748 24.7247i 1.11468 1.93068i
\(165\) −9.65492 + 2.43021i −0.751635 + 0.189192i
\(166\) 7.76475 + 13.4489i 0.602662 + 1.04384i
\(167\) −2.48240 4.29964i −0.192094 0.332716i 0.753850 0.657046i \(-0.228194\pi\)
−0.945944 + 0.324330i \(0.894861\pi\)
\(168\) 8.45130 29.7241i 0.652032 2.29326i
\(169\) −0.500000 + 0.866025i −0.0384615 + 0.0666173i
\(170\) −13.7661 −1.05581
\(171\) 15.5814 8.37445i 1.19154 0.640410i
\(172\) −2.84542 −0.216962
\(173\) 1.33399 2.31055i 0.101422 0.175668i −0.810849 0.585256i \(-0.800994\pi\)
0.912271 + 0.409588i \(0.134328\pi\)
\(174\) 10.2561 + 10.5731i 0.777516 + 0.801544i
\(175\) −1.50610 2.60865i −0.113851 0.197195i
\(176\) 17.8918 + 30.9895i 1.34864 + 2.33592i
\(177\) 9.11559 + 9.39728i 0.685169 + 0.706343i
\(178\) −2.84513 + 4.92791i −0.213251 + 0.369362i
\(179\) −13.9929 −1.04588 −0.522938 0.852371i \(-0.675164\pi\)
−0.522938 + 0.852371i \(0.675164\pi\)
\(180\) 0.397090 13.0452i 0.0295973 0.972330i
\(181\) 8.28746 0.616002 0.308001 0.951386i \(-0.400340\pi\)
0.308001 + 0.951386i \(0.400340\pi\)
\(182\) −3.79538 + 6.57380i −0.281333 + 0.487282i
\(183\) 2.85235 10.0320i 0.210852 0.741588i
\(184\) −24.8506 43.0425i −1.83201 3.17313i
\(185\) −2.14874 3.72172i −0.157978 0.273626i
\(186\) 18.1815 4.57640i 1.33313 0.335558i
\(187\) 15.7003 27.1938i 1.14812 1.98861i
\(188\) −45.2880 −3.30296
\(189\) −3.35694 15.2877i −0.244181 1.11201i
\(190\) −14.8590 −1.07799
\(191\) −0.356045 + 0.616689i −0.0257625 + 0.0446220i −0.878619 0.477523i \(-0.841535\pi\)
0.852857 + 0.522145i \(0.174868\pi\)
\(192\) 4.65230 1.17102i 0.335751 0.0845108i
\(193\) 10.3493 + 17.9256i 0.744961 + 1.29031i 0.950213 + 0.311602i \(0.100865\pi\)
−0.205251 + 0.978709i \(0.565801\pi\)
\(194\) −7.87420 13.6385i −0.565335 0.979189i
\(195\) −0.473690 + 1.66602i −0.0339217 + 0.119306i
\(196\) −4.51006 + 7.81165i −0.322147 + 0.557975i
\(197\) −25.1924 −1.79489 −0.897444 0.441129i \(-0.854578\pi\)
−0.897444 + 0.441129i \(0.854578\pi\)
\(198\) 36.9555 + 22.8630i 2.62631 + 1.62480i
\(199\) −0.692437 −0.0490855 −0.0245428 0.999699i \(-0.507813\pi\)
−0.0245428 + 0.999699i \(0.507813\pi\)
\(200\) −2.96152 + 5.12950i −0.209411 + 0.362710i
\(201\) 6.86972 + 7.08201i 0.484553 + 0.499527i
\(202\) 7.50429 + 12.9978i 0.528000 + 0.914523i
\(203\) −5.08279 8.80365i −0.356742 0.617895i
\(204\) 28.6601 + 29.5458i 2.00661 + 2.06862i
\(205\) −3.28126 + 5.68331i −0.229173 + 0.396940i
\(206\) −16.0477 −1.11810
\(207\) −21.4078 13.2442i −1.48795 0.920537i
\(208\) 6.22524 0.431642
\(209\) 16.9468 29.3527i 1.17223 2.03037i
\(210\) −3.59567 + 12.6464i −0.248125 + 0.872682i
\(211\) −1.77430 3.07318i −0.122148 0.211566i 0.798467 0.602039i \(-0.205645\pi\)
−0.920614 + 0.390473i \(0.872312\pi\)
\(212\) −13.1266 22.7359i −0.901535 1.56150i
\(213\) −3.36151 + 0.846114i −0.230327 + 0.0579747i
\(214\) −16.1271 + 27.9329i −1.10242 + 1.90945i
\(215\) 0.654059 0.0446065
\(216\) −22.7330 + 20.7469i −1.54678 + 1.41165i
\(217\) −12.9387 −0.878338
\(218\) −11.9031 + 20.6167i −0.806177 + 1.39634i
\(219\) −20.9148 + 5.26441i −1.41329 + 0.355736i
\(220\) −12.5034 21.6565i −0.842978 1.46008i
\(221\) −2.73138 4.73088i −0.183732 0.318233i
\(222\) −5.12989 + 18.0424i −0.344296 + 1.21092i
\(223\) 0.361381 0.625930i 0.0241999 0.0419154i −0.853672 0.520811i \(-0.825630\pi\)
0.877872 + 0.478896i \(0.158963\pi\)
\(224\) 11.5715 0.773154
\(225\) −0.0912764 + 2.99861i −0.00608509 + 0.199907i
\(226\) −34.4419 −2.29104
\(227\) 9.83730 17.0387i 0.652925 1.13090i −0.329485 0.944161i \(-0.606875\pi\)
0.982410 0.186738i \(-0.0597915\pi\)
\(228\) 30.9354 + 31.8914i 2.04875 + 2.11206i
\(229\) −2.25838 3.91162i −0.149238 0.258487i 0.781708 0.623644i \(-0.214349\pi\)
−0.930946 + 0.365157i \(0.881015\pi\)
\(230\) 10.5729 + 18.3128i 0.697155 + 1.20751i
\(231\) −20.8809 21.5262i −1.37386 1.41632i
\(232\) −9.99450 + 17.3110i −0.656171 + 1.13652i
\(233\) 1.13516 0.0743669 0.0371835 0.999308i \(-0.488161\pi\)
0.0371835 + 0.999308i \(0.488161\pi\)
\(234\) 6.65913 3.57905i 0.435321 0.233970i
\(235\) 10.4100 0.679077
\(236\) −16.4418 + 28.4780i −1.07027 + 1.85376i
\(237\) 6.46460 22.7367i 0.419921 1.47691i
\(238\) −20.7332 35.9110i −1.34394 2.32777i
\(239\) −5.40401 9.36002i −0.349556 0.605450i 0.636614 0.771182i \(-0.280334\pi\)
−0.986171 + 0.165733i \(0.947001\pi\)
\(240\) 10.4563 2.63191i 0.674950 0.169889i
\(241\) 3.81756 6.61222i 0.245911 0.425930i −0.716476 0.697611i \(-0.754246\pi\)
0.962387 + 0.271681i \(0.0875796\pi\)
\(242\) 55.5438 3.57049
\(243\) −5.16731 + 14.7071i −0.331483 + 0.943461i
\(244\) 26.1962 1.67704
\(245\) 1.03670 1.79561i 0.0662322 0.114718i
\(246\) 27.7775 6.99178i 1.77103 0.445780i
\(247\) −2.94822 5.10646i −0.187590 0.324916i
\(248\) 12.7210 + 22.0334i 0.807784 + 1.39912i
\(249\) −2.91911 + 10.2668i −0.184991 + 0.650634i
\(250\) 1.26000 2.18239i 0.0796894 0.138026i
\(251\) 6.71696 0.423971 0.211985 0.977273i \(-0.432007\pi\)
0.211985 + 0.977273i \(0.432007\pi\)
\(252\) 34.6284 18.6115i 2.18138 1.17242i
\(253\) −48.2336 −3.03242
\(254\) −5.51185 + 9.54681i −0.345845 + 0.599020i
\(255\) −6.58791 6.79149i −0.412551 0.425300i
\(256\) 15.7055 + 27.2028i 0.981596 + 1.70017i
\(257\) −11.2663 19.5137i −0.702770 1.21723i −0.967490 0.252908i \(-0.918613\pi\)
0.264720 0.964325i \(-0.414720\pi\)
\(258\) −1.98772 2.04914i −0.123750 0.127574i
\(259\) 6.47244 11.2106i 0.402178 0.696592i
\(260\) −4.35041 −0.269801
\(261\) −0.308039 + 10.1197i −0.0190671 + 0.626393i
\(262\) −33.4312 −2.06539
\(263\) −6.93204 + 12.0066i −0.427448 + 0.740362i −0.996646 0.0818391i \(-0.973921\pi\)
0.569198 + 0.822201i \(0.307254\pi\)
\(264\) −16.1275 + 56.7220i −0.992577 + 3.49100i
\(265\) 3.01731 + 5.22614i 0.185352 + 0.321039i
\(266\) −22.3792 38.7619i −1.37216 2.37665i
\(267\) −3.79273 + 0.954656i −0.232111 + 0.0584240i
\(268\) −12.3909 + 21.4617i −0.756894 + 1.31098i
\(269\) 3.78932 0.231039 0.115520 0.993305i \(-0.463147\pi\)
0.115520 + 0.993305i \(0.463147\pi\)
\(270\) 9.67192 8.82695i 0.588614 0.537191i
\(271\) −8.66850 −0.526574 −0.263287 0.964718i \(-0.584807\pi\)
−0.263287 + 0.964718i \(0.584807\pi\)
\(272\) −17.0035 + 29.4508i −1.03099 + 1.78572i
\(273\) −5.05948 + 1.27351i −0.306214 + 0.0770761i
\(274\) 13.3830 + 23.1801i 0.808498 + 1.40036i
\(275\) 2.87407 + 4.97804i 0.173313 + 0.300187i
\(276\) 17.2921 60.8180i 1.04086 3.66081i
\(277\) 6.17136 10.6891i 0.370801 0.642247i −0.618888 0.785479i \(-0.712416\pi\)
0.989689 + 0.143233i \(0.0457498\pi\)
\(278\) 11.2205 0.672958
\(279\) 10.9587 + 6.77971i 0.656078 + 0.405891i
\(280\) −17.8414 −1.06623
\(281\) 2.36303 4.09288i 0.140966 0.244161i −0.786894 0.617088i \(-0.788312\pi\)
0.927861 + 0.372927i \(0.121646\pi\)
\(282\) −31.6366 32.6143i −1.88393 1.94215i
\(283\) 6.43592 + 11.1473i 0.382576 + 0.662640i 0.991430 0.130642i \(-0.0417038\pi\)
−0.608854 + 0.793282i \(0.708370\pi\)
\(284\) −4.35324 7.54003i −0.258317 0.447419i
\(285\) −7.11091 7.33066i −0.421214 0.434231i
\(286\) 7.24267 12.5447i 0.428268 0.741782i
\(287\) −19.7677 −1.16685
\(288\) −9.80067 6.06330i −0.577510 0.357284i
\(289\) 12.8416 0.755391
\(290\) 4.25224 7.36510i 0.249700 0.432493i
\(291\) 2.96026 10.4116i 0.173534 0.610336i
\(292\) −27.0853 46.9131i −1.58505 2.74538i
\(293\) 12.7416 + 22.0692i 0.744375 + 1.28929i 0.950486 + 0.310766i \(0.100586\pi\)
−0.206112 + 0.978528i \(0.566081\pi\)
\(294\) −8.77615 + 2.20902i −0.511836 + 0.128832i
\(295\) 3.77936 6.54605i 0.220043 0.381126i
\(296\) −25.4541 −1.47949
\(297\) 6.40599 + 29.1732i 0.371713 + 1.69280i
\(298\) −41.2313 −2.38847
\(299\) −4.19558 + 7.26696i −0.242637 + 0.420259i
\(300\) −7.30720 + 1.83927i −0.421882 + 0.106190i
\(301\) 0.985081 + 1.70621i 0.0567791 + 0.0983444i
\(302\) 7.54009 + 13.0598i 0.433883 + 0.751508i
\(303\) −2.82120 + 9.92244i −0.162073 + 0.570029i
\(304\) −18.3533 + 31.7889i −1.05264 + 1.82322i
\(305\) −6.02155 −0.344793
\(306\) −1.25652 + 41.2793i −0.0718307 + 2.35978i
\(307\) −31.4528 −1.79511 −0.897553 0.440906i \(-0.854657\pi\)
−0.897553 + 0.440906i \(0.854657\pi\)
\(308\) 37.6628 65.2339i 2.14604 3.71705i
\(309\) −7.67978 7.91711i −0.436887 0.450388i
\(310\) −5.41225 9.37429i −0.307395 0.532424i
\(311\) 3.04005 + 5.26553i 0.172386 + 0.298581i 0.939253 0.343224i \(-0.111519\pi\)
−0.766868 + 0.641805i \(0.778186\pi\)
\(312\) 7.14300 + 7.36373i 0.404392 + 0.416889i
\(313\) 3.93739 6.81976i 0.222554 0.385476i −0.733029 0.680198i \(-0.761894\pi\)
0.955583 + 0.294722i \(0.0952272\pi\)
\(314\) 15.6971 0.885841
\(315\) −7.95979 + 4.27811i −0.448484 + 0.241044i
\(316\) 59.3714 3.33990
\(317\) 9.81771 17.0048i 0.551418 0.955083i −0.446755 0.894656i \(-0.647420\pi\)
0.998173 0.0604269i \(-0.0192462\pi\)
\(318\) 7.20354 25.3356i 0.403954 1.42075i
\(319\) 9.69940 + 16.7998i 0.543062 + 0.940611i
\(320\) −1.38489 2.39871i −0.0774180 0.134092i
\(321\) −21.4984 + 5.41129i −1.19992 + 0.302029i
\(322\) −31.8477 + 55.1618i −1.77480 + 3.07405i
\(323\) 32.2107 1.79225
\(324\) −39.0812 2.38143i −2.17118 0.132302i
\(325\) 1.00000 0.0554700
\(326\) 3.05348 5.28879i 0.169117 0.292919i
\(327\) −15.8675 + 3.99396i −0.877476 + 0.220867i
\(328\) 19.4350 + 33.6625i 1.07312 + 1.85870i
\(329\) 15.6786 + 27.1562i 0.864390 + 1.49717i
\(330\) 6.86156 24.1328i 0.377716 1.32847i
\(331\) 1.66306 2.88051i 0.0914102 0.158327i −0.816695 0.577070i \(-0.804196\pi\)
0.908105 + 0.418743i \(0.137529\pi\)
\(332\) −26.8094 −1.47136
\(333\) −11.3561 + 6.10352i −0.622311 + 0.334471i
\(334\) 12.5113 0.684588
\(335\) 2.84821 4.93325i 0.155615 0.269532i
\(336\) 22.6140 + 23.3128i 1.23369 + 1.27182i
\(337\) 13.6755 + 23.6867i 0.744954 + 1.29030i 0.950216 + 0.311591i \(0.100862\pi\)
−0.205263 + 0.978707i \(0.565805\pi\)
\(338\) −1.26000 2.18239i −0.0685350 0.118706i
\(339\) −16.4825 16.9918i −0.895205 0.922869i
\(340\) 11.8826 20.5813i 0.644424 1.11618i
\(341\) 24.6908 1.33708
\(342\) −1.35628 + 44.5564i −0.0733391 + 2.40933i
\(343\) −14.8400 −0.801282
\(344\) 1.93701 3.35499i 0.104436 0.180889i
\(345\) −3.97481 + 13.9798i −0.213997 + 0.752649i
\(346\) 3.36167 + 5.82258i 0.180724 + 0.313024i
\(347\) 12.4216 + 21.5149i 0.666828 + 1.15498i 0.978786 + 0.204885i \(0.0656819\pi\)
−0.311958 + 0.950096i \(0.600985\pi\)
\(348\) −24.6603 + 6.20716i −1.32193 + 0.332739i
\(349\) 0.915567 1.58581i 0.0490092 0.0848864i −0.840480 0.541842i \(-0.817727\pi\)
0.889489 + 0.456956i \(0.151060\pi\)
\(350\) 7.59077 0.405744
\(351\) 4.95250 + 1.57248i 0.264345 + 0.0839328i
\(352\) −22.0817 −1.17696
\(353\) −10.6302 + 18.4120i −0.565788 + 0.979974i 0.431188 + 0.902262i \(0.358095\pi\)
−0.996976 + 0.0777117i \(0.975239\pi\)
\(354\) −31.9941 + 8.05314i −1.70047 + 0.428020i
\(355\) 1.00065 + 1.73318i 0.0531090 + 0.0919876i
\(356\) −4.91169 8.50730i −0.260319 0.450886i
\(357\) 7.79454 27.4142i 0.412531 1.45092i
\(358\) 17.6310 30.5378i 0.931828 1.61397i
\(359\) −4.46395 −0.235598 −0.117799 0.993037i \(-0.537584\pi\)
−0.117799 + 0.993037i \(0.537584\pi\)
\(360\) 15.1110 + 9.34864i 0.796422 + 0.492716i
\(361\) 15.7679 0.829889
\(362\) −10.4422 + 18.0864i −0.548830 + 0.950601i
\(363\) 26.5810 + 27.4024i 1.39514 + 1.43825i
\(364\) −6.55217 11.3487i −0.343427 0.594833i
\(365\) 6.22592 + 10.7836i 0.325879 + 0.564440i
\(366\) 18.2998 + 18.8653i 0.956544 + 0.986104i
\(367\) −11.4328 + 19.8022i −0.596788 + 1.03367i 0.396504 + 0.918033i \(0.370223\pi\)
−0.993292 + 0.115634i \(0.963110\pi\)
\(368\) 52.2370 2.72304
\(369\) 16.7425 + 10.3580i 0.871582 + 0.539215i
\(370\) 10.8296 0.563006
\(371\) −9.08878 + 15.7422i −0.471866 + 0.817296i
\(372\) −8.85179 + 31.1327i −0.458944 + 1.61415i
\(373\) −8.91954 15.4491i −0.461836 0.799924i 0.537216 0.843445i \(-0.319476\pi\)
−0.999053 + 0.0435205i \(0.986143\pi\)
\(374\) 39.5649 + 68.5284i 2.04585 + 3.54352i
\(375\) 1.67966 0.422782i 0.0867372 0.0218323i
\(376\) 30.8295 53.3983i 1.58991 2.75381i
\(377\) 3.37479 0.173811
\(378\) 37.5933 + 11.9363i 1.93359 + 0.613939i
\(379\) 24.4173 1.25423 0.627117 0.778925i \(-0.284235\pi\)
0.627117 + 0.778925i \(0.284235\pi\)
\(380\) 12.8259 22.2152i 0.657957 1.13961i
\(381\) −7.34765 + 1.84945i −0.376431 + 0.0947503i
\(382\) −0.897235 1.55406i −0.0459065 0.0795124i
\(383\) 16.1311 + 27.9398i 0.824258 + 1.42766i 0.902485 + 0.430722i \(0.141741\pi\)
−0.0782265 + 0.996936i \(0.524926\pi\)
\(384\) −6.94569 + 24.4287i −0.354446 + 1.24662i
\(385\) −8.65730 + 14.9949i −0.441217 + 0.764210i
\(386\) −52.1607 −2.65491
\(387\) 0.0597002 1.96127i 0.00303473 0.0996969i
\(388\) 27.1873 1.38023
\(389\) 9.93039 17.1999i 0.503491 0.872072i −0.496501 0.868036i \(-0.665382\pi\)
0.999992 0.00403561i \(-0.00128458\pi\)
\(390\) −3.03904 3.13296i −0.153888 0.158644i
\(391\) −22.9194 39.6976i −1.15909 2.00759i
\(392\) −6.14039 10.6355i −0.310137 0.537173i
\(393\) −15.9988 16.4932i −0.807032 0.831972i
\(394\) 31.7425 54.9796i 1.59916 2.76983i
\(395\) −13.6473 −0.686671
\(396\) −66.0807 + 35.5161i −3.32068 + 1.78475i
\(397\) 0.215714 0.0108264 0.00541319 0.999985i \(-0.498277\pi\)
0.00541319 + 0.999985i \(0.498277\pi\)
\(398\) 0.872471 1.51116i 0.0437330 0.0757478i
\(399\) 8.41334 29.5906i 0.421194 1.48138i
\(400\) −3.11262 5.39121i −0.155631 0.269561i
\(401\) −9.40370 16.2877i −0.469598 0.813368i 0.529797 0.848124i \(-0.322268\pi\)
−0.999396 + 0.0347560i \(0.988935\pi\)
\(402\) −24.1115 + 6.06903i −1.20257 + 0.302696i
\(403\) 2.14772 3.71995i 0.106985 0.185304i
\(404\) −25.9101 −1.28907
\(405\) 8.98334 + 0.547405i 0.446386 + 0.0272008i
\(406\) 25.6173 1.27136
\(407\) −12.3512 + 21.3930i −0.612228 + 1.06041i
\(408\) −54.3471 + 13.6795i −2.69058 + 0.677238i
\(409\) −0.622094 1.07750i −0.0307606 0.0532789i 0.850235 0.526403i \(-0.176460\pi\)
−0.880996 + 0.473124i \(0.843126\pi\)
\(410\) −8.26879 14.3220i −0.408366 0.707311i
\(411\) −5.03127 + 17.6955i −0.248174 + 0.872856i
\(412\) 13.8520 23.9924i 0.682439 1.18202i
\(413\) 22.7684 1.12036
\(414\) 55.8779 30.0324i 2.74625 1.47601i
\(415\) 6.16250 0.302505
\(416\) −1.92077 + 3.32687i −0.0941734 + 0.163113i
\(417\) 5.36965 + 5.53558i 0.262953 + 0.271079i
\(418\) 42.7059 + 73.9687i 2.08881 + 3.61793i
\(419\) −16.9901 29.4277i −0.830020 1.43764i −0.898021 0.439952i \(-0.854995\pi\)
0.0680010 0.997685i \(-0.478338\pi\)
\(420\) −15.8034 16.2918i −0.771128 0.794958i
\(421\) 5.53112 9.58019i 0.269570 0.466910i −0.699180 0.714945i \(-0.746452\pi\)
0.968751 + 0.248035i \(0.0797849\pi\)
\(422\) 8.94248 0.435313
\(423\) 0.950192 31.2157i 0.0461999 1.51776i
\(424\) 35.7433 1.73585
\(425\) −2.73138 + 4.73088i −0.132491 + 0.229481i
\(426\) 2.38895 8.40221i 0.115745 0.407088i
\(427\) −9.06908 15.7081i −0.438884 0.760169i
\(428\) −27.8410 48.2220i −1.34575 2.33090i
\(429\) 9.65492 2.43021i 0.466144 0.117332i
\(430\) −0.824115 + 1.42741i −0.0397424 + 0.0688358i
\(431\) −29.3780 −1.41509 −0.707545 0.706669i \(-0.750197\pi\)
−0.707545 + 0.706669i \(0.750197\pi\)
\(432\) −6.93768 31.5945i −0.333789 1.52009i
\(433\) −32.7711 −1.57488 −0.787439 0.616393i \(-0.788593\pi\)
−0.787439 + 0.616393i \(0.788593\pi\)
\(434\) 16.3028 28.2373i 0.782560 1.35543i
\(435\) 5.66850 1.42680i 0.271784 0.0684098i
\(436\) −20.5489 35.5917i −0.984112 1.70453i
\(437\) −24.7390 42.8492i −1.18343 2.04975i
\(438\) 14.8638 52.2774i 0.710218 2.49791i
\(439\) −2.02508 + 3.50754i −0.0966517 + 0.167406i −0.910297 0.413956i \(-0.864147\pi\)
0.813645 + 0.581362i \(0.197480\pi\)
\(440\) 34.0464 1.62310
\(441\) −5.28972 3.27255i −0.251891 0.155836i
\(442\) 13.7661 0.654789
\(443\) 2.33610 4.04624i 0.110991 0.192242i −0.805179 0.593032i \(-0.797931\pi\)
0.916170 + 0.400789i \(0.131264\pi\)
\(444\) −22.5465 23.2432i −1.07001 1.10308i
\(445\) 1.12902 + 1.95552i 0.0535206 + 0.0927004i
\(446\) 0.910680 + 1.57734i 0.0431220 + 0.0746894i
\(447\) −19.7316 20.3414i −0.933273 0.962114i
\(448\) 4.17159 7.22541i 0.197089 0.341368i
\(449\) −25.3333 −1.19555 −0.597775 0.801664i \(-0.703948\pi\)
−0.597775 + 0.801664i \(0.703948\pi\)
\(450\) −6.42912 3.97745i −0.303071 0.187499i
\(451\) 37.7223 1.77628
\(452\) 29.7294 51.4928i 1.39835 2.42202i
\(453\) −2.83465 + 9.96977i −0.133184 + 0.468421i
\(454\) 24.7900 + 42.9376i 1.16345 + 2.01516i
\(455\) 1.50610 + 2.60865i 0.0706072 + 0.122295i
\(456\) −58.6617 + 14.7655i −2.74709 + 0.691460i
\(457\) −0.663373 + 1.14900i −0.0310313 + 0.0537477i −0.881124 0.472885i \(-0.843212\pi\)
0.850093 + 0.526633i \(0.176546\pi\)
\(458\) 11.3822 0.531856
\(459\) −20.9664 + 19.1347i −0.978626 + 0.893130i
\(460\) −36.5050 −1.70205
\(461\) −3.86232 + 6.68973i −0.179886 + 0.311572i −0.941841 0.336058i \(-0.890906\pi\)
0.761955 + 0.647630i \(0.224240\pi\)
\(462\) 73.2883 18.4472i 3.40968 0.858239i
\(463\) 5.34129 + 9.25138i 0.248231 + 0.429948i 0.963035 0.269376i \(-0.0868176\pi\)
−0.714804 + 0.699325i \(0.753484\pi\)
\(464\) −10.5044 18.1942i −0.487656 0.844646i
\(465\) 2.03470 7.15627i 0.0943571 0.331864i
\(466\) −1.43030 + 2.47736i −0.0662576 + 0.114761i
\(467\) 2.08913 0.0966736 0.0483368 0.998831i \(-0.484608\pi\)
0.0483368 + 0.998831i \(0.484608\pi\)
\(468\) −0.397090 + 13.0452i −0.0183555 + 0.603014i
\(469\) 17.1588 0.792321
\(470\) −13.1167 + 22.7187i −0.605027 + 1.04794i
\(471\) 7.51201 + 7.74415i 0.346135 + 0.356832i
\(472\) −22.3853 38.7724i −1.03037 1.78465i
\(473\) −1.87981 3.25593i −0.0864339 0.149708i
\(474\) 41.4748 + 42.7565i 1.90500 + 1.96387i
\(475\) −2.94822 + 5.10646i −0.135273 + 0.234300i
\(476\) 71.5857 3.28113
\(477\) 15.9466 8.57073i 0.730144 0.392427i
\(478\) 27.2362 1.24576
\(479\) −0.633003 + 1.09639i −0.0289226 + 0.0500955i −0.880124 0.474743i \(-0.842541\pi\)
0.851202 + 0.524839i \(0.175874\pi\)
\(480\) −1.81970 + 6.40007i −0.0830575 + 0.292122i
\(481\) 2.14874 + 3.72172i 0.0979739 + 0.169696i
\(482\) 9.62027 + 16.6628i 0.438191 + 0.758969i
\(483\) −42.4550 + 10.6862i −1.93177 + 0.486239i
\(484\) −47.9440 + 83.0415i −2.17927 + 3.77461i
\(485\) −6.24936 −0.283769
\(486\) −25.5858 29.8080i −1.16059 1.35212i
\(487\) 20.6599 0.936191 0.468096 0.883678i \(-0.344940\pi\)
0.468096 + 0.883678i \(0.344940\pi\)
\(488\) −17.8329 + 30.8875i −0.807258 + 1.39821i
\(489\) 4.07048 1.02457i 0.184074 0.0463326i
\(490\) 2.61248 + 4.52495i 0.118020 + 0.204416i
\(491\) 6.06292 + 10.5013i 0.273616 + 0.473916i 0.969785 0.243962i \(-0.0784471\pi\)
−0.696169 + 0.717878i \(0.745114\pi\)
\(492\) −13.5237 + 47.5643i −0.609695 + 2.14436i
\(493\) −9.21783 + 15.9657i −0.415150 + 0.719061i
\(494\) 14.8590 0.668539
\(495\) 15.1895 8.16385i 0.682719 0.366938i
\(496\) −26.7401 −1.20066
\(497\) −3.01417 + 5.22069i −0.135204 + 0.234180i
\(498\) −18.7281 19.3069i −0.839226 0.865161i
\(499\) −4.18901 7.25557i −0.187526 0.324804i 0.756899 0.653532i \(-0.226713\pi\)
−0.944425 + 0.328728i \(0.893380\pi\)
\(500\) 2.17520 + 3.76756i 0.0972781 + 0.168491i
\(501\) 5.98740 + 6.17242i 0.267497 + 0.275764i
\(502\) −8.46337 + 14.6590i −0.377739 + 0.654263i
\(503\) 33.8591 1.50970 0.754851 0.655897i \(-0.227709\pi\)
0.754851 + 0.655897i \(0.227709\pi\)
\(504\) −1.62850 + 53.4994i −0.0725391 + 2.38305i
\(505\) 5.95578 0.265029
\(506\) 60.7744 105.264i 2.70175 4.67957i
\(507\) 0.473690 1.66602i 0.0210373 0.0739905i
\(508\) −9.51540 16.4812i −0.422178 0.731233i
\(509\) −5.56573 9.64012i −0.246697 0.427291i 0.715911 0.698192i \(-0.246012\pi\)
−0.962607 + 0.270901i \(0.912678\pi\)
\(510\) 23.1224 5.82007i 1.02388 0.257717i
\(511\) −18.7538 + 32.4825i −0.829617 + 1.43694i
\(512\) −49.8301 −2.20220
\(513\) −22.6309 + 20.6537i −0.999177 + 0.911885i
\(514\) 56.7820 2.50455
\(515\) −3.18407 + 5.51497i −0.140307 + 0.243019i
\(516\) 4.77934 1.20299i 0.210399 0.0529588i
\(517\) −29.9192 51.8216i −1.31585 2.27911i
\(518\) 16.3106 + 28.2507i 0.716644 + 1.24126i
\(519\) −1.26380 + 4.44492i −0.0554747 + 0.195110i
\(520\) 2.96152 5.12950i 0.129871 0.224943i
\(521\) −7.38081 −0.323359 −0.161679 0.986843i \(-0.551691\pi\)
−0.161679 + 0.986843i \(0.551691\pi\)
\(522\) −21.6969 13.4231i −0.949649 0.587512i
\(523\) −27.1586 −1.18756 −0.593781 0.804626i \(-0.702366\pi\)
−0.593781 + 0.804626i \(0.702366\pi\)
\(524\) 28.8570 49.9818i 1.26062 2.18346i
\(525\) 3.63263 + 3.74489i 0.158541 + 0.163440i
\(526\) −17.4688 30.2568i −0.761674 1.31926i
\(527\) 11.7324 + 20.3212i 0.511073 + 0.885204i
\(528\) −43.1539 44.4874i −1.87803 1.93607i
\(529\) −23.7058 + 41.0597i −1.03069 + 1.78521i
\(530\) −15.2073 −0.660562
\(531\) −19.2841 11.9303i −0.836858 0.517732i
\(532\) 77.2688 3.35003
\(533\) 3.28126 5.68331i 0.142127 0.246172i
\(534\) 2.69542 9.48007i 0.116642 0.410243i
\(535\) 6.39963 + 11.0845i 0.276680 + 0.479224i
\(536\) −16.8701 29.2198i −0.728676 1.26210i
\(537\) 23.5032 5.91592i 1.01424 0.255291i
\(538\) −4.77455 + 8.26977i −0.205846 + 0.356535i
\(539\) −11.9182 −0.513352
\(540\) 4.84829 + 22.0793i 0.208637 + 0.950144i
\(541\) 17.0809 0.734365 0.367182 0.930149i \(-0.380322\pi\)
0.367182 + 0.930149i \(0.380322\pi\)
\(542\) 10.9223 18.9180i 0.469154 0.812598i
\(543\) −13.9201 + 3.50378i −0.597369 + 0.150362i
\(544\) −10.4927 18.1739i −0.449870 0.779198i
\(545\) 4.72343 + 8.18123i 0.202330 + 0.350445i
\(546\) 3.59567 12.6464i 0.153881 0.541214i
\(547\) 10.4035 18.0194i 0.444822 0.770455i −0.553217 0.833037i \(-0.686600\pi\)
0.998040 + 0.0625819i \(0.0199335\pi\)
\(548\) −46.2076 −1.97389
\(549\) −0.549625 + 18.0563i −0.0234574 + 0.770624i
\(550\) −14.4853 −0.617657
\(551\) −9.94962 + 17.2332i −0.423868 + 0.734161i
\(552\) 59.9381 + 61.7903i 2.55113 + 2.62997i
\(553\) −20.5543 35.6010i −0.874057 1.51391i
\(554\) 15.5518 + 26.9366i 0.660735 + 1.14443i
\(555\) 5.18262 + 5.34277i 0.219990 + 0.226788i
\(556\) −9.68522 + 16.7753i −0.410745 + 0.711431i
\(557\) −29.9187 −1.26770 −0.633848 0.773458i \(-0.718525\pi\)
−0.633848 + 0.773458i \(0.718525\pi\)
\(558\) −28.6039 + 15.3736i −1.21090 + 0.650815i
\(559\) −0.654059 −0.0276638
\(560\) 9.37585 16.2395i 0.396202 0.686242i
\(561\) −14.8742 + 52.3141i −0.627989 + 2.20870i
\(562\) 5.95483 + 10.3141i 0.251189 + 0.435073i
\(563\) −16.8080 29.1123i −0.708372 1.22694i −0.965461 0.260548i \(-0.916097\pi\)
0.257089 0.966388i \(-0.417237\pi\)
\(564\) 76.0684 19.1469i 3.20306 0.806231i
\(565\) −6.83370 + 11.8363i −0.287496 + 0.497958i
\(566\) −32.4370 −1.36343
\(567\) 12.1019 + 24.2588i 0.508230 + 1.01877i
\(568\) 11.8538 0.497374
\(569\) −19.6028 + 33.9530i −0.821792 + 1.42339i 0.0825545 + 0.996587i \(0.473692\pi\)
−0.904347 + 0.426799i \(0.859641\pi\)
\(570\) 24.9581 6.28212i 1.04538 0.263129i
\(571\) 6.88909 + 11.9322i 0.288299 + 0.499349i 0.973404 0.229096i \(-0.0735769\pi\)
−0.685105 + 0.728445i \(0.740244\pi\)
\(572\) 12.5034 + 21.6565i 0.522793 + 0.905504i
\(573\) 0.337310 1.18636i 0.0140913 0.0495607i
\(574\) 24.9073 43.1407i 1.03961 1.80066i
\(575\) 8.39117 0.349936
\(576\) −7.31920 + 3.93381i −0.304967 + 0.163909i
\(577\) 25.4974 1.06147 0.530736 0.847537i \(-0.321916\pi\)
0.530736 + 0.847537i \(0.321916\pi\)
\(578\) −16.1805 + 28.0254i −0.673019 + 1.16570i
\(579\) −24.9620 25.7334i −1.03738 1.06944i
\(580\) 7.34086 + 12.7147i 0.304813 + 0.527951i
\(581\) 9.28136 + 16.0758i 0.385056 + 0.666936i
\(582\) 18.9921 + 19.5790i 0.787248 + 0.811576i
\(583\) 17.3440 30.0406i 0.718313 1.24416i
\(584\) 73.7526 3.05191
\(585\) 0.0912764 2.99861i 0.00377381 0.123977i
\(586\) −64.2179 −2.65282
\(587\) 15.3142 26.5249i 0.632083 1.09480i −0.355042 0.934850i \(-0.615534\pi\)
0.987125 0.159949i \(-0.0511331\pi\)
\(588\) 4.27274 15.0277i 0.176205 0.619731i
\(589\) 12.6639 + 21.9344i 0.521805 + 0.903793i
\(590\) 9.52400 + 16.4960i 0.392097 + 0.679131i
\(591\) 42.3147 10.6509i 1.74060 0.438119i
\(592\) 13.3764 23.1686i 0.549766 0.952222i
\(593\) 29.5710 1.21433 0.607167 0.794574i \(-0.292306\pi\)
0.607167 + 0.794574i \(0.292306\pi\)
\(594\) −71.7387 22.7779i −2.94347 0.934589i
\(595\) −16.4549 −0.674587
\(596\) 35.5899 61.6435i 1.45782 2.52501i
\(597\) 1.16306 0.292749i 0.0476008 0.0119814i
\(598\) −10.5729 18.3128i −0.432357 0.748865i
\(599\) −0.625518 1.08343i −0.0255580 0.0442677i 0.852964 0.521971i \(-0.174803\pi\)
−0.878521 + 0.477703i \(0.841470\pi\)
\(600\) 2.80568 9.86788i 0.114542 0.402855i
\(601\) 5.36808 9.29779i 0.218969 0.379265i −0.735524 0.677498i \(-0.763064\pi\)
0.954493 + 0.298234i \(0.0963974\pi\)
\(602\) −4.96481 −0.202351
\(603\) −14.5329 8.99098i −0.591827 0.366141i
\(604\) −26.0337 −1.05930
\(605\) 11.0206 19.0882i 0.448050 0.776046i
\(606\) −18.0999 18.6592i −0.735258 0.757979i
\(607\) −17.8389 30.8979i −0.724059 1.25411i −0.959360 0.282184i \(-0.908941\pi\)
0.235302 0.971922i \(-0.424392\pi\)
\(608\) −11.3257 19.6167i −0.459317 0.795560i
\(609\) 12.2594 + 12.6382i 0.496775 + 0.512127i
\(610\) 7.58716 13.1413i 0.307195 0.532078i
\(611\) −10.4100 −0.421146
\(612\) −60.6306 37.5099i −2.45085 1.51625i
\(613\) 40.1588 1.62200 0.810999 0.585048i \(-0.198924\pi\)
0.810999 + 0.585048i \(0.198924\pi\)
\(614\) 39.6306 68.6422i 1.59936 2.77017i
\(615\) 3.10860 10.9333i 0.125351 0.440873i
\(616\) 51.2775 + 88.8152i 2.06603 + 3.57847i
\(617\) 4.57365 + 7.92179i 0.184128 + 0.318919i 0.943282 0.331991i \(-0.107721\pi\)
−0.759154 + 0.650911i \(0.774387\pi\)
\(618\) 26.9547 6.78468i 1.08428 0.272920i
\(619\) 19.2689 33.3747i 0.774481 1.34144i −0.160604 0.987019i \(-0.551344\pi\)
0.935086 0.354422i \(-0.115322\pi\)
\(620\) 18.6869 0.750483
\(621\) 41.5573 + 13.1950i 1.66764 + 0.529495i
\(622\) −15.3219 −0.614351
\(623\) −3.40084 + 5.89042i −0.136252 + 0.235995i
\(624\) −10.4563 + 2.63191i −0.418586 + 0.105361i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) 9.92223 + 17.1858i 0.396572 + 0.686883i
\(627\) −16.0550 + 56.4673i −0.641176 + 2.25508i
\(628\) −13.5494 + 23.4682i −0.540680 + 0.936484i
\(629\) −23.4760 −0.936050
\(630\) 0.692858 22.7618i 0.0276041 0.906850i
\(631\) −20.8431 −0.829749 −0.414875 0.909879i \(-0.636175\pi\)
−0.414875 + 0.909879i \(0.636175\pi\)
\(632\) −40.4167 + 70.0039i −1.60769 + 2.78460i
\(633\) 4.27950 + 4.41175i 0.170095 + 0.175351i
\(634\) 24.7406 + 42.8521i 0.982577 + 1.70187i
\(635\) 2.18724 + 3.78842i 0.0867981 + 0.150339i
\(636\) 31.6604 + 32.6388i 1.25542 + 1.29421i
\(637\) −1.03670 + 1.79561i −0.0410755 + 0.0711448i
\(638\) −48.8850 −1.93538
\(639\) 5.28846 2.84237i 0.209208 0.112442i
\(640\) 14.6629 0.579604
\(641\) 2.52917 4.38065i 0.0998962 0.173025i −0.811745 0.584012i \(-0.801482\pi\)
0.911642 + 0.410986i \(0.134816\pi\)
\(642\) 15.2785 53.7360i 0.602993 2.12079i
\(643\) −0.555778 0.962636i −0.0219177 0.0379627i 0.854858 0.518861i \(-0.173644\pi\)
−0.876776 + 0.480899i \(0.840311\pi\)
\(644\) −54.9803 95.2287i −2.16653 3.75254i
\(645\) −1.09860 + 0.276524i −0.0432572 + 0.0108881i
\(646\) −40.5855 + 70.2962i −1.59682 + 2.76577i
\(647\) −4.82790 −0.189804 −0.0949022 0.995487i \(-0.530254\pi\)
−0.0949022 + 0.995487i \(0.530254\pi\)
\(648\) 29.4122 44.4589i 1.15542 1.74651i
\(649\) −43.4486 −1.70551
\(650\) −1.26000 + 2.18239i −0.0494213 + 0.0856002i
\(651\) 21.7327 5.47026i 0.851770 0.214396i
\(652\) 5.27139 + 9.13031i 0.206443 + 0.357570i
\(653\) 9.02813 + 15.6372i 0.353298 + 0.611930i 0.986825 0.161790i \(-0.0517268\pi\)
−0.633527 + 0.773720i \(0.718393\pi\)
\(654\) 11.2767 39.6614i 0.440955 1.55089i
\(655\) −6.63317 + 11.4890i −0.259179 + 0.448912i
\(656\) −40.8533 −1.59505
\(657\) 32.9041 17.6848i 1.28371 0.689950i
\(658\) −79.0203 −3.08053
\(659\) 15.9174 27.5698i 0.620054 1.07397i −0.369421 0.929262i \(-0.620444\pi\)
0.989475 0.144703i \(-0.0462228\pi\)
\(660\) 30.1574 + 31.0893i 1.17388 + 1.21015i
\(661\) −6.91126 11.9706i −0.268817 0.465604i 0.699740 0.714398i \(-0.253299\pi\)
−0.968557 + 0.248794i \(0.919966\pi\)
\(662\) 4.19092 + 7.25889i 0.162885 + 0.282125i
\(663\) 6.58791 + 6.79149i 0.255853 + 0.263760i
\(664\) 18.2503 31.6105i 0.708250 1.22673i
\(665\) −17.7613 −0.688753
\(666\) 0.988490 32.4739i 0.0383032 1.25834i
\(667\) 28.3185 1.09649
\(668\) −10.7995 + 18.7052i −0.417843 + 0.723726i
\(669\) −0.342365 + 1.20413i −0.0132366 + 0.0465545i
\(670\) 7.17750 + 12.4318i 0.277291 + 0.480282i
\(671\) 17.3064 + 29.9755i 0.668105 + 1.15719i
\(672\) −19.4362 + 4.89222i −0.749768 + 0.188722i
\(673\) 2.29266 3.97100i 0.0883754 0.153071i −0.818449 0.574579i \(-0.805166\pi\)
0.906825 + 0.421508i \(0.138499\pi\)
\(674\) −68.9247 −2.65488
\(675\) −1.11444 5.07524i −0.0428950 0.195346i
\(676\) 4.35041 0.167323
\(677\) 2.08724 3.61521i 0.0802193 0.138944i −0.823125 0.567861i \(-0.807771\pi\)
0.903344 + 0.428917i \(0.141105\pi\)
\(678\) 57.8506 14.5614i 2.22174 0.559227i
\(679\) −9.41219 16.3024i −0.361207 0.625628i
\(680\) 16.1780 + 28.0212i 0.620399 + 1.07456i
\(681\) −9.31966 + 32.7782i −0.357130 + 1.25607i
\(682\) −31.1104 + 53.8848i −1.19128 + 2.06335i
\(683\) 18.6465 0.713489 0.356744 0.934202i \(-0.383887\pi\)
0.356744 + 0.934202i \(0.383887\pi\)
\(684\) −65.4440 40.4877i −2.50231 1.54809i
\(685\) 10.6214 0.405824
\(686\) 18.6984 32.3865i 0.713907 1.23652i
\(687\) 5.44706 + 5.61539i 0.207818 + 0.214241i
\(688\) 2.03584 + 3.52617i 0.0776155 + 0.134434i
\(689\) −3.01731 5.22614i −0.114951 0.199100i
\(690\) −25.5011 26.2892i −0.970812 1.00081i
\(691\) 0.918602 1.59106i 0.0349453 0.0605270i −0.848024 0.529958i \(-0.822208\pi\)
0.882969 + 0.469431i \(0.155541\pi\)
\(692\) −11.6068 −0.441226
\(693\) 44.1736 + 27.3286i 1.67802 + 1.03813i
\(694\) −62.6051 −2.37646
\(695\) 2.22628 3.85603i 0.0844476 0.146267i
\(696\) 9.46860 33.3021i 0.358906 1.26231i
\(697\) 17.9247 + 31.0465i 0.678947 + 1.17597i
\(698\) 2.30723 + 3.99624i 0.0873299 + 0.151260i
\(699\) −1.90668 + 0.479925i −0.0721174 + 0.0181524i
\(700\) −6.55217 + 11.3487i −0.247649 + 0.428940i
\(701\) −48.5393 −1.83330 −0.916652 0.399687i \(-0.869119\pi\)
−0.916652 + 0.399687i \(0.869119\pi\)
\(702\) −9.67192 + 8.82695i −0.365043 + 0.333152i
\(703\) −25.3397 −0.955706
\(704\) −7.96057 + 13.7881i −0.300025 + 0.519659i
\(705\) −17.4853 + 4.40118i −0.658536 + 0.165758i
\(706\) −26.7881 46.3984i −1.00818 1.74623i
\(707\) 8.97003 + 15.5365i 0.337353 + 0.584312i
\(708\) 15.5766 54.7846i 0.585405 2.05893i
\(709\) 20.0104 34.6591i 0.751507 1.30165i −0.195585 0.980687i \(-0.562661\pi\)
0.947092 0.320962i \(-0.104006\pi\)
\(710\) −5.04329 −0.189271
\(711\) −1.24568 + 40.9230i −0.0467166 + 1.53473i
\(712\) 13.3744 0.501228
\(713\) 18.0218 31.2148i 0.674923 1.16900i
\(714\) 50.0073 + 51.5527i 1.87148 + 1.92931i
\(715\) −2.87407 4.97804i −0.107484 0.186168i
\(716\) 30.4373 + 52.7190i 1.13750 + 1.97020i
\(717\) 13.0341 + 13.4369i 0.486769 + 0.501812i
\(718\) 5.62459 9.74207i 0.209908 0.363571i
\(719\) −28.6704 −1.06923 −0.534613 0.845097i \(-0.679543\pi\)
−0.534613 + 0.845097i \(0.679543\pi\)
\(720\) −16.4503 + 8.84144i −0.613065 + 0.329501i
\(721\) −19.1822 −0.714381
\(722\) −19.8676 + 34.4116i −0.739394 + 1.28067i
\(723\) −3.61669 + 12.7203i −0.134506 + 0.473072i
\(724\) −18.0269 31.2235i −0.669965 1.16041i
\(725\) −1.68740 2.92266i −0.0626683 0.108545i
\(726\) −93.2946 + 23.4829i −3.46249 + 0.871531i
\(727\) −18.6530 + 32.3080i −0.691802 + 1.19824i 0.279445 + 0.960162i \(0.409850\pi\)
−0.971247 + 0.238074i \(0.923484\pi\)
\(728\) 17.8414 0.661246
\(729\) 2.46142 26.8876i 0.0911637 0.995836i
\(730\) −31.3786 −1.16138
\(731\) 1.78648 3.09428i 0.0660754 0.114446i
\(732\) −44.0007 + 11.0753i −1.62631 + 0.409354i
\(733\) 6.38139 + 11.0529i 0.235702 + 0.408248i 0.959476 0.281789i \(-0.0909277\pi\)
−0.723774 + 0.690037i \(0.757594\pi\)
\(734\) −28.8107 49.9016i −1.06342 1.84190i
\(735\) −0.982147 + 3.45432i −0.0362270 + 0.127414i
\(736\) −16.1175 + 27.9163i −0.594099 + 1.02901i
\(737\) −32.7439 −1.20614
\(738\) −43.7007 + 23.4876i −1.60865 + 0.864591i
\(739\) 20.5383 0.755512 0.377756 0.925905i \(-0.376696\pi\)
0.377756 + 0.925905i \(0.376696\pi\)
\(740\) −9.34788 + 16.1910i −0.343635 + 0.595193i
\(741\) 7.11091 + 7.33066i 0.261226 + 0.269299i
\(742\) −22.9037 39.6704i −0.840823 1.45635i
\(743\) −10.5260 18.2315i −0.386161 0.668850i 0.605769 0.795641i \(-0.292866\pi\)
−0.991930 + 0.126790i \(0.959532\pi\)
\(744\) −30.6822 31.6304i −1.12487 1.15963i
\(745\) −8.18081 + 14.1696i −0.299722 + 0.519133i
\(746\) 44.9545 1.64590
\(747\) 0.562491 18.4789i 0.0205805 0.676109i
\(748\) −136.606 −4.99480
\(749\) −19.2770 + 33.3888i −0.704367 + 1.22000i
\(750\) −1.19370 + 4.19837i −0.0435878 + 0.153303i
\(751\) −4.04719 7.00993i −0.147684 0.255796i 0.782687 0.622415i \(-0.213849\pi\)
−0.930371 + 0.366619i \(0.880515\pi\)
\(752\) 32.4025 + 56.1228i 1.18160 + 2.04659i
\(753\) −11.2822 + 2.83981i −0.411146 + 0.103488i
\(754\) −4.25224 + 7.36510i −0.154858 + 0.268221i
\(755\) 5.98419 0.217787
\(756\) −50.2952 + 45.9013i −1.82922 + 1.66941i
\(757\) 16.9554 0.616254 0.308127 0.951345i \(-0.400298\pi\)
0.308127 + 0.951345i \(0.400298\pi\)
\(758\) −30.7659 + 53.2880i −1.11747 + 1.93551i
\(759\) 81.0161 20.3923i 2.94070 0.740193i
\(760\) 17.4624 + 30.2457i 0.633427 + 1.09713i
\(761\) −19.3135 33.4520i −0.700115 1.21263i −0.968426 0.249302i \(-0.919799\pi\)
0.268311 0.963332i \(-0.413535\pi\)
\(762\) 5.22182 18.3657i 0.189167 0.665319i
\(763\) −14.2280 + 24.6436i −0.515087 + 0.892157i
\(764\) 3.09788 0.112078
\(765\) 13.9368 + 8.62215i 0.503885 + 0.311734i
\(766\) −81.3006 −2.93751
\(767\) −3.77936 + 6.54605i −0.136465 + 0.236364i
\(768\) −37.8808 39.0514i −1.36691 1.40915i
\(769\) −10.7547 18.6277i −0.387825 0.671733i 0.604331 0.796733i \(-0.293440\pi\)
−0.992157 + 0.125000i \(0.960107\pi\)
\(770\) −21.8164 37.7871i −0.786209 1.36175i
\(771\) 27.1735 + 28.0133i 0.978631 + 1.00887i
\(772\) 45.0238 77.9836i 1.62044 2.80669i
\(773\) −38.8254 −1.39645 −0.698226 0.715878i \(-0.746027\pi\)
−0.698226 + 0.715878i \(0.746027\pi\)
\(774\) 4.20502 + 2.60149i 0.151146 + 0.0935086i
\(775\) −4.29543 −0.154296