Properties

Label 162.3.h.a.5.4
Level $162$
Weight $3$
Character 162.5
Analytic conductor $4.414$
Analytic rank $0$
Dimension $324$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 162 = 2 \cdot 3^{4} \)
Weight: \( k \) \(=\) \( 3 \)
Character orbit: \([\chi]\) \(=\) 162.h (of order \(54\), degree \(18\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.41418028264\)
Analytic rank: \(0\)
Dimension: \(324\)
Relative dimension: \(18\) over \(\Q(\zeta_{54})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{54}]$

Embedding invariants

Embedding label 5.4
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.326140 - 1.37609i) q^{2} +(-1.15412 - 2.76912i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(5.90063 - 4.39286i) q^{5} +(-3.43416 + 2.49129i) q^{6} +(11.1239 - 7.31631i) q^{7} +(1.81808 + 2.16670i) q^{8} +(-6.33603 + 6.39177i) q^{9} +O(q^{10})\) \(q+(-0.326140 - 1.37609i) q^{2} +(-1.15412 - 2.76912i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(5.90063 - 4.39286i) q^{5} +(-3.43416 + 2.49129i) q^{6} +(11.1239 - 7.31631i) q^{7} +(1.81808 + 2.16670i) q^{8} +(-6.33603 + 6.39177i) q^{9} +(-7.96942 - 6.68713i) q^{10} +(-1.19877 + 10.2561i) q^{11} +(4.54827 + 3.91321i) q^{12} +(-2.19072 - 7.31750i) q^{13} +(-13.6959 - 12.9214i) q^{14} +(-18.9744 - 11.2697i) q^{15} +(2.38863 - 3.20849i) q^{16} +(-10.5153 - 1.85413i) q^{17} +(10.8621 + 6.63435i) q^{18} +(-0.318206 - 1.80464i) q^{19} +(-6.60297 + 13.1476i) q^{20} +(-33.0980 - 22.3595i) q^{21} +(14.5043 - 1.69531i) q^{22} +(-2.41065 + 3.66521i) q^{23} +(3.90158 - 7.53510i) q^{24} +(8.35019 - 27.8916i) q^{25} +(-9.35508 + 5.40116i) q^{26} +(25.0121 + 10.1684i) q^{27} +(-13.3143 + 23.0610i) q^{28} +(-30.9822 + 29.2302i) q^{29} +(-9.31983 + 29.7860i) q^{30} +(-3.32477 + 57.0841i) q^{31} +(-5.19421 - 2.24057i) q^{32} +(29.7839 - 8.51722i) q^{33} +(0.878004 + 15.0747i) q^{34} +(33.4986 - 92.0366i) q^{35} +(5.58692 - 17.1110i) q^{36} +(66.4373 - 24.1812i) q^{37} +(-2.37957 + 1.02645i) q^{38} +(-17.7347 + 14.5116i) q^{39} +(20.2458 + 4.79835i) q^{40} +(6.62289 - 27.9442i) q^{41} +(-19.9742 + 52.8383i) q^{42} +(9.40424 + 21.8015i) q^{43} +(-7.06335 - 19.4064i) q^{44} +(-9.30843 + 65.5488i) q^{45} +(5.82988 + 2.12190i) q^{46} +(3.55206 - 0.206884i) q^{47} +(-11.6415 - 2.91143i) q^{48} +(50.8050 - 117.779i) q^{49} +(-41.1047 - 2.39408i) q^{50} +(7.00158 + 31.2580i) q^{51} +(10.4836 + 11.1119i) q^{52} +(-30.8401 - 17.8056i) q^{53} +(5.83516 - 37.7353i) q^{54} +(37.9801 + 65.7835i) q^{55} +(36.0764 + 10.8006i) q^{56} +(-4.63000 + 2.96391i) q^{57} +(50.3280 + 33.1013i) q^{58} +(7.57702 + 64.8255i) q^{59} +(44.0279 + 3.11054i) q^{60} +(-33.5775 - 16.8633i) q^{61} +(79.6374 - 14.0422i) q^{62} +(-23.7172 + 117.458i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-45.0714 - 33.5544i) q^{65} +(-21.4342 - 38.2076i) q^{66} +(75.1529 - 79.6574i) q^{67} +(20.4579 - 6.12469i) q^{68} +(12.9316 + 2.44528i) q^{69} +(-137.576 - 16.0803i) q^{70} +(-8.62275 + 10.2762i) q^{71} +(-25.3685 - 2.10754i) q^{72} +(-8.18211 + 6.86561i) q^{73} +(-54.9435 - 83.5375i) q^{74} +(-86.8721 + 9.06748i) q^{75} +(2.18856 + 2.93974i) q^{76} +(61.7018 + 122.858i) q^{77} +(25.7533 + 19.6718i) q^{78} +(-59.8365 + 14.1815i) q^{79} -29.4251i q^{80} +(-0.709499 - 80.9969i) q^{81} -40.6138 q^{82} +(9.46191 + 39.9229i) q^{83} +(79.2248 + 10.2537i) q^{84} +(-70.1919 + 35.2517i) q^{85} +(26.9338 - 20.0515i) q^{86} +(116.699 + 52.0583i) q^{87} +(-24.4014 + 16.0490i) q^{88} +(52.8256 + 62.9551i) q^{89} +(93.2371 - 8.56882i) q^{90} +(-77.9064 - 65.3712i) q^{91} +(1.01858 - 8.71450i) q^{92} +(161.910 - 56.6751i) q^{93} +(-1.44316 - 4.82049i) q^{94} +(-9.80513 - 9.25066i) q^{95} +(-0.209659 + 16.9693i) q^{96} +(-45.8942 + 61.6466i) q^{97} +(-178.645 - 31.4999i) q^{98} +(-57.9593 - 72.6452i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 324 q+O(q^{10}) \) Copy content Toggle raw display \( 324 q + 72 q^{18} + 108 q^{20} + 270 q^{21} + 162 q^{23} - 54 q^{27} - 162 q^{29} - 216 q^{30} - 378 q^{33} - 486 q^{35} - 180 q^{36} - 108 q^{38} + 216 q^{41} + 432 q^{45} + 324 q^{47} + 126 q^{51} - 216 q^{57} - 378 q^{59} - 540 q^{63} - 1728 q^{65} - 1008 q^{66} + 702 q^{67} - 216 q^{68} - 1872 q^{69} + 540 q^{70} - 1296 q^{71} - 576 q^{72} - 864 q^{74} - 900 q^{75} + 108 q^{76} - 864 q^{77} - 288 q^{78} + 108 q^{79} + 144 q^{81} + 432 q^{83} + 144 q^{84} - 540 q^{85} + 864 q^{86} + 2016 q^{87} - 216 q^{88} + 1782 q^{89} + 1440 q^{90} + 864 q^{92} + 2124 q^{93} - 756 q^{94} + 2808 q^{95} + 288 q^{96} - 918 q^{97} + 1296 q^{98} + 1800 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/162\mathbb{Z}\right)^\times\).

\(n\) \(83\)
\(\chi(n)\) \(e\left(\frac{23}{54}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.326140 1.37609i −0.163070 0.688047i
\(3\) −1.15412 2.76912i −0.384706 0.923039i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) 5.90063 4.39286i 1.18013 0.878572i 0.185556 0.982634i \(-0.440591\pi\)
0.994571 + 0.104062i \(0.0331840\pi\)
\(6\) −3.43416 + 2.49129i −0.572360 + 0.415215i
\(7\) 11.1239 7.31631i 1.58913 1.04519i 0.624693 0.780871i \(-0.285224\pi\)
0.964436 0.264316i \(-0.0851461\pi\)
\(8\) 1.81808 + 2.16670i 0.227260 + 0.270838i
\(9\) −6.33603 + 6.39177i −0.704003 + 0.710197i
\(10\) −7.96942 6.68713i −0.796942 0.668713i
\(11\) −1.19877 + 10.2561i −0.108979 + 0.932373i 0.822547 + 0.568697i \(0.192552\pi\)
−0.931526 + 0.363676i \(0.881522\pi\)
\(12\) 4.54827 + 3.91321i 0.379022 + 0.326101i
\(13\) −2.19072 7.31750i −0.168517 0.562885i −0.999973 0.00729523i \(-0.997678\pi\)
0.831457 0.555589i \(-0.187507\pi\)
\(14\) −13.6959 12.9214i −0.978276 0.922956i
\(15\) −18.9744 11.2697i −1.26496 0.751312i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) −10.5153 1.85413i −0.618547 0.109067i −0.144411 0.989518i \(-0.546129\pi\)
−0.474137 + 0.880451i \(0.657240\pi\)
\(18\) 10.8621 + 6.63435i 0.603450 + 0.368575i
\(19\) −0.318206 1.80464i −0.0167477 0.0949808i 0.975288 0.220937i \(-0.0709114\pi\)
−0.992036 + 0.125956i \(0.959800\pi\)
\(20\) −6.60297 + 13.1476i −0.330149 + 0.657380i
\(21\) −33.0980 22.3595i −1.57610 1.06474i
\(22\) 14.5043 1.69531i 0.659287 0.0770597i
\(23\) −2.41065 + 3.66521i −0.104811 + 0.159357i −0.884085 0.467326i \(-0.845217\pi\)
0.779274 + 0.626683i \(0.215588\pi\)
\(24\) 3.90158 7.53510i 0.162566 0.313962i
\(25\) 8.35019 27.8916i 0.334008 1.11566i
\(26\) −9.35508 + 5.40116i −0.359811 + 0.207737i
\(27\) 25.0121 + 10.1684i 0.926374 + 0.376606i
\(28\) −13.3143 + 23.0610i −0.475509 + 0.823606i
\(29\) −30.9822 + 29.2302i −1.06835 + 1.00794i −0.0684049 + 0.997658i \(0.521791\pi\)
−0.999947 + 0.0102806i \(0.996728\pi\)
\(30\) −9.31983 + 29.7860i −0.310661 + 0.992866i
\(31\) −3.32477 + 57.0841i −0.107251 + 1.84142i 0.332263 + 0.943187i \(0.392188\pi\)
−0.439513 + 0.898236i \(0.644849\pi\)
\(32\) −5.19421 2.24057i −0.162319 0.0700177i
\(33\) 29.7839 8.51722i 0.902542 0.258098i
\(34\) 0.878004 + 15.0747i 0.0258236 + 0.443375i
\(35\) 33.4986 92.0366i 0.957102 2.62962i
\(36\) 5.58692 17.1110i 0.155192 0.475306i
\(37\) 66.4373 24.1812i 1.79560 0.653546i 0.796820 0.604217i \(-0.206514\pi\)
0.998783 0.0493292i \(-0.0157084\pi\)
\(38\) −2.37957 + 1.02645i −0.0626202 + 0.0270117i
\(39\) −17.7347 + 14.5116i −0.454735 + 0.372092i
\(40\) 20.2458 + 4.79835i 0.506146 + 0.119959i
\(41\) 6.62289 27.9442i 0.161534 0.681565i −0.830651 0.556793i \(-0.812032\pi\)
0.992185 0.124773i \(-0.0398201\pi\)
\(42\) −19.9742 + 52.8383i −0.475576 + 1.25805i
\(43\) 9.40424 + 21.8015i 0.218703 + 0.507011i 0.991880 0.127180i \(-0.0405925\pi\)
−0.773176 + 0.634191i \(0.781333\pi\)
\(44\) −7.06335 19.4064i −0.160531 0.441054i
\(45\) −9.30843 + 65.5488i −0.206854 + 1.45664i
\(46\) 5.82988 + 2.12190i 0.126737 + 0.0461283i
\(47\) 3.55206 0.206884i 0.0755757 0.00440179i −0.0203153 0.999794i \(-0.506467\pi\)
0.0958910 + 0.995392i \(0.469430\pi\)
\(48\) −11.6415 2.91143i −0.242530 0.0606549i
\(49\) 50.8050 117.779i 1.03684 2.40366i
\(50\) −41.1047 2.39408i −0.822095 0.0478816i
\(51\) 7.00158 + 31.2580i 0.137286 + 0.612902i
\(52\) 10.4836 + 11.1119i 0.201607 + 0.213691i
\(53\) −30.8401 17.8056i −0.581889 0.335954i 0.179995 0.983668i \(-0.442392\pi\)
−0.761884 + 0.647714i \(0.775725\pi\)
\(54\) 5.83516 37.7353i 0.108059 0.698801i
\(55\) 37.9801 + 65.7835i 0.690548 + 1.19606i
\(56\) 36.0764 + 10.8006i 0.644221 + 0.192867i
\(57\) −4.63000 + 2.96391i −0.0812281 + 0.0519984i
\(58\) 50.3280 + 33.1013i 0.867725 + 0.570712i
\(59\) 7.57702 + 64.8255i 0.128424 + 1.09874i 0.891688 + 0.452651i \(0.149522\pi\)
−0.763264 + 0.646087i \(0.776404\pi\)
\(60\) 44.0279 + 3.11054i 0.733798 + 0.0518424i
\(61\) −33.5775 16.8633i −0.550451 0.276447i 0.151758 0.988418i \(-0.451506\pi\)
−0.702209 + 0.711971i \(0.747803\pi\)
\(62\) 79.6374 14.0422i 1.28447 0.226487i
\(63\) −23.7172 + 117.458i −0.376463 + 1.86441i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −45.0714 33.5544i −0.693406 0.516221i
\(66\) −21.4342 38.2076i −0.324761 0.578903i
\(67\) 75.1529 79.6574i 1.12169 1.18892i 0.141687 0.989912i \(-0.454747\pi\)
0.979998 0.199005i \(-0.0637711\pi\)
\(68\) 20.4579 6.12469i 0.300851 0.0900690i
\(69\) 12.9316 + 2.44528i 0.187414 + 0.0354389i
\(70\) −137.576 16.0803i −1.96537 0.229719i
\(71\) −8.62275 + 10.2762i −0.121447 + 0.144735i −0.823342 0.567545i \(-0.807893\pi\)
0.701895 + 0.712280i \(0.252338\pi\)
\(72\) −25.3685 2.10754i −0.352340 0.0292714i
\(73\) −8.18211 + 6.86561i −0.112084 + 0.0940494i −0.697107 0.716967i \(-0.745530\pi\)
0.585023 + 0.811016i \(0.301085\pi\)
\(74\) −54.9435 83.5375i −0.742479 1.12888i
\(75\) −86.8721 + 9.06748i −1.15830 + 0.120900i
\(76\) 2.18856 + 2.93974i 0.0287968 + 0.0386808i
\(77\) 61.7018 + 122.858i 0.801323 + 1.59556i
\(78\) 25.7533 + 19.6718i 0.330171 + 0.252202i
\(79\) −59.8365 + 14.1815i −0.757424 + 0.179513i −0.591144 0.806566i \(-0.701324\pi\)
−0.166280 + 0.986079i \(0.553175\pi\)
\(80\) 29.4251i 0.367813i
\(81\) −0.709499 80.9969i −0.00875924 0.999962i
\(82\) −40.6138 −0.495290
\(83\) 9.46191 + 39.9229i 0.113999 + 0.480999i 0.999855 + 0.0170389i \(0.00542390\pi\)
−0.885856 + 0.463961i \(0.846428\pi\)
\(84\) 79.2248 + 10.2537i 0.943152 + 0.122068i
\(85\) −70.1919 + 35.2517i −0.825787 + 0.414726i
\(86\) 26.9338 20.0515i 0.313183 0.233156i
\(87\) 116.699 + 52.0583i 1.34137 + 0.598371i
\(88\) −24.4014 + 16.0490i −0.277288 + 0.182375i
\(89\) 52.8256 + 62.9551i 0.593546 + 0.707361i 0.976283 0.216497i \(-0.0694630\pi\)
−0.382737 + 0.923857i \(0.625019\pi\)
\(90\) 93.2371 8.56882i 1.03597 0.0952091i
\(91\) −77.9064 65.3712i −0.856114 0.718365i
\(92\) 1.01858 8.71450i 0.0110715 0.0947228i
\(93\) 161.910 56.6751i 1.74097 0.609409i
\(94\) −1.44316 4.82049i −0.0153528 0.0512818i
\(95\) −9.80513 9.25066i −0.103212 0.0973754i
\(96\) −0.209659 + 16.9693i −0.00218394 + 0.176763i
\(97\) −45.8942 + 61.6466i −0.473136 + 0.635532i −0.973064 0.230535i \(-0.925952\pi\)
0.499928 + 0.866067i \(0.333360\pi\)
\(98\) −178.645 31.4999i −1.82290 0.321427i
\(99\) −57.9593 72.6452i −0.585447 0.733790i
\(100\) 10.1114 + 57.3447i 0.101114 + 0.573447i
\(101\) −8.11899 + 16.1662i −0.0803861 + 0.160062i −0.930235 0.366965i \(-0.880397\pi\)
0.849849 + 0.527027i \(0.176693\pi\)
\(102\) 40.7304 19.8293i 0.399318 0.194405i
\(103\) 62.8332 7.34414i 0.610031 0.0713024i 0.194532 0.980896i \(-0.437681\pi\)
0.415499 + 0.909594i \(0.363607\pi\)
\(104\) 11.8719 18.0504i 0.114153 0.173562i
\(105\) −293.521 + 13.4595i −2.79544 + 0.128185i
\(106\) −14.4439 + 48.2460i −0.136263 + 0.455151i
\(107\) 67.4719 38.9549i 0.630578 0.364065i −0.150398 0.988626i \(-0.548055\pi\)
0.780976 + 0.624561i \(0.214722\pi\)
\(108\) −53.8303 + 4.27726i −0.498429 + 0.0396043i
\(109\) 24.5778 42.5700i 0.225484 0.390550i −0.730980 0.682399i \(-0.760937\pi\)
0.956465 + 0.291848i \(0.0942702\pi\)
\(110\) 78.1374 73.7189i 0.710340 0.670172i
\(111\) −143.637 156.065i −1.29403 1.40599i
\(112\) 3.09662 53.1669i 0.0276484 0.474705i
\(113\) −163.080 70.3457i −1.44318 0.622529i −0.476656 0.879090i \(-0.658151\pi\)
−0.966528 + 0.256561i \(0.917410\pi\)
\(114\) 5.58865 + 5.40466i 0.0490232 + 0.0474093i
\(115\) 1.87641 + 32.2167i 0.0163166 + 0.280145i
\(116\) 29.1364 80.0517i 0.251176 0.690101i
\(117\) 60.6522 + 32.3613i 0.518395 + 0.276593i
\(118\) 86.7348 31.5689i 0.735041 0.267533i
\(119\) −130.537 + 56.3080i −1.09695 + 0.473176i
\(120\) −10.0789 61.6009i −0.0839905 0.513341i
\(121\) 13.9878 + 3.31516i 0.115601 + 0.0273980i
\(122\) −12.2544 + 51.7055i −0.100446 + 0.423816i
\(123\) −85.0243 + 13.9113i −0.691255 + 0.113100i
\(124\) −45.2964 105.009i −0.365293 0.846845i
\(125\) −10.3525 28.4433i −0.0828203 0.227547i
\(126\) 169.368 5.67061i 1.34419 0.0450048i
\(127\) −78.7431 28.6601i −0.620024 0.225670i 0.0128594 0.999917i \(-0.495907\pi\)
−0.632884 + 0.774247i \(0.718129\pi\)
\(128\) 11.2946 0.657834i 0.0882388 0.00513933i
\(129\) 49.5173 51.2029i 0.383855 0.396922i
\(130\) −31.4744 + 72.9658i −0.242111 + 0.561276i
\(131\) 131.740 + 7.67296i 1.00565 + 0.0585722i 0.553054 0.833145i \(-0.313462\pi\)
0.452592 + 0.891718i \(0.350499\pi\)
\(132\) −45.5867 + 41.9565i −0.345353 + 0.317852i
\(133\) −16.7430 17.7465i −0.125887 0.133432i
\(134\) −134.126 77.4379i −1.00094 0.577895i
\(135\) 192.255 49.8748i 1.42411 0.369443i
\(136\) −15.1003 26.1545i −0.111032 0.192312i
\(137\) −136.374 40.8276i −0.995427 0.298011i −0.252656 0.967556i \(-0.581304\pi\)
−0.742772 + 0.669545i \(0.766489\pi\)
\(138\) −0.852565 18.5926i −0.00617800 0.134729i
\(139\) 186.267 + 122.510i 1.34005 + 0.881363i 0.998292 0.0584253i \(-0.0186080\pi\)
0.341756 + 0.939789i \(0.388978\pi\)
\(140\) 22.7410 + 194.562i 0.162436 + 1.38973i
\(141\) −4.67238 9.59730i −0.0331374 0.0680660i
\(142\) 16.9532 + 8.51423i 0.119389 + 0.0599593i
\(143\) 77.6752 13.6962i 0.543183 0.0957779i
\(144\) 5.37350 + 35.5967i 0.0373160 + 0.247199i
\(145\) −54.4105 + 308.577i −0.375245 + 2.12812i
\(146\) 12.1162 + 9.02020i 0.0829879 + 0.0617822i
\(147\) −384.779 4.75402i −2.61755 0.0323403i
\(148\) −97.0361 + 102.852i −0.655649 + 0.694947i
\(149\) 273.551 81.8957i 1.83591 0.549636i 0.835911 0.548865i \(-0.184940\pi\)
1.00000 0.000770102i \(-0.000245131\pi\)
\(150\) 40.8102 + 116.587i 0.272068 + 0.777246i
\(151\) −68.7760 8.03877i −0.455471 0.0532369i −0.114735 0.993396i \(-0.536602\pi\)
−0.340735 + 0.940159i \(0.610676\pi\)
\(152\) 3.33158 3.97043i 0.0219183 0.0261212i
\(153\) 78.4764 55.4636i 0.512918 0.362507i
\(154\) 148.941 124.977i 0.967151 0.811536i
\(155\) 231.144 + 351.438i 1.49125 + 2.26734i
\(156\) 18.6710 41.8547i 0.119686 0.268299i
\(157\) −133.980 179.966i −0.853376 1.14628i −0.987857 0.155367i \(-0.950344\pi\)
0.134481 0.990916i \(-0.457063\pi\)
\(158\) 39.0301 + 77.7154i 0.247026 + 0.491870i
\(159\) −13.7126 + 105.950i −0.0862426 + 0.666350i
\(160\) −40.4916 + 9.59670i −0.253073 + 0.0599794i
\(161\) 58.4085i 0.362786i
\(162\) −111.228 + 27.3927i −0.686592 + 0.169091i
\(163\) −132.418 −0.812380 −0.406190 0.913789i \(-0.633143\pi\)
−0.406190 + 0.913789i \(0.633143\pi\)
\(164\) 13.2458 + 55.8884i 0.0807670 + 0.340783i
\(165\) 138.329 181.093i 0.838357 1.09754i
\(166\) 51.8518 26.0409i 0.312360 0.156873i
\(167\) −85.6649 + 63.7751i −0.512963 + 0.381887i −0.822290 0.569069i \(-0.807304\pi\)
0.309327 + 0.950956i \(0.399896\pi\)
\(168\) −11.7283 112.365i −0.0698115 0.668838i
\(169\) 92.4509 60.8059i 0.547047 0.359798i
\(170\) 71.4020 + 85.0936i 0.420012 + 0.500550i
\(171\) 13.5510 + 9.40032i 0.0792455 + 0.0549726i
\(172\) −36.3769 30.5238i −0.211493 0.177464i
\(173\) −12.8554 + 109.985i −0.0743086 + 0.635751i 0.903844 + 0.427862i \(0.140733\pi\)
−0.978153 + 0.207888i \(0.933341\pi\)
\(174\) 33.5769 177.567i 0.192971 1.02050i
\(175\) −111.177 371.356i −0.635295 2.12203i
\(176\) 30.0432 + 28.3443i 0.170700 + 0.161047i
\(177\) 170.765 95.7979i 0.964773 0.541231i
\(178\) 69.4035 93.2251i 0.389908 0.523737i
\(179\) 196.150 + 34.5866i 1.09581 + 0.193221i 0.692198 0.721708i \(-0.256643\pi\)
0.403614 + 0.914929i \(0.367754\pi\)
\(180\) −42.1999 125.508i −0.234444 0.697268i
\(181\) 23.1607 + 131.351i 0.127960 + 0.725696i 0.979506 + 0.201416i \(0.0645543\pi\)
−0.851546 + 0.524280i \(0.824335\pi\)
\(182\) −64.5485 + 128.527i −0.354662 + 0.706190i
\(183\) −7.94398 + 112.442i −0.0434097 + 0.614438i
\(184\) −12.3242 + 1.44049i −0.0669791 + 0.00782874i
\(185\) 285.798 434.534i 1.54485 2.34883i
\(186\) −130.795 204.319i −0.703201 1.09849i
\(187\) 31.6216 105.623i 0.169099 0.564831i
\(188\) −6.16277 + 3.55808i −0.0327807 + 0.0189260i
\(189\) 352.627 69.8843i 1.86575 0.369758i
\(190\) −9.53193 + 16.5098i −0.0501680 + 0.0868936i
\(191\) −176.547 + 166.563i −0.924330 + 0.872060i −0.992076 0.125642i \(-0.959901\pi\)
0.0677458 + 0.997703i \(0.478419\pi\)
\(192\) 23.4197 5.24585i 0.121977 0.0273221i
\(193\) 2.52482 43.3495i 0.0130820 0.224609i −0.985430 0.170080i \(-0.945597\pi\)
0.998512 0.0545287i \(-0.0173656\pi\)
\(194\) 99.7994 + 43.0493i 0.514430 + 0.221903i
\(195\) −40.8984 + 163.534i −0.209736 + 0.838634i
\(196\) 14.9164 + 256.105i 0.0761042 + 1.30666i
\(197\) −31.3029 + 86.0039i −0.158898 + 0.436568i −0.993437 0.114380i \(-0.963512\pi\)
0.834539 + 0.550949i \(0.185734\pi\)
\(198\) −81.0638 + 103.450i −0.409413 + 0.522474i
\(199\) −48.4294 + 17.6269i −0.243364 + 0.0885773i −0.460823 0.887492i \(-0.652446\pi\)
0.217459 + 0.976070i \(0.430223\pi\)
\(200\) 75.6140 32.6167i 0.378070 0.163083i
\(201\) −307.316 116.173i −1.52894 0.577976i
\(202\) 24.8942 + 5.90003i 0.123239 + 0.0292081i
\(203\) −130.786 + 551.829i −0.644266 + 2.71837i
\(204\) −40.5708 49.5817i −0.198876 0.243048i
\(205\) −83.6756 193.982i −0.408174 0.946253i
\(206\) −30.5986 84.0691i −0.148537 0.408102i
\(207\) −8.15326 38.6312i −0.0393878 0.186624i
\(208\) −28.7110 10.4499i −0.138033 0.0502401i
\(209\) 18.8900 1.10022i 0.0903827 0.00526419i
\(210\) 114.251 + 399.523i 0.544050 + 1.90249i
\(211\) −27.5256 + 63.8114i −0.130453 + 0.302424i −0.970906 0.239460i \(-0.923030\pi\)
0.840453 + 0.541884i \(0.182289\pi\)
\(212\) 71.1017 + 4.14120i 0.335385 + 0.0195340i
\(213\) 38.4076 + 12.0175i 0.180318 + 0.0564201i
\(214\) −75.6109 80.1429i −0.353322 0.374499i
\(215\) 151.262 + 87.3311i 0.703543 + 0.406191i
\(216\) 23.4421 + 72.6806i 0.108528 + 0.336484i
\(217\) 380.660 + 659.323i 1.75420 + 3.03836i
\(218\) −66.5961 19.9376i −0.305487 0.0914567i
\(219\) 28.4548 + 14.7335i 0.129931 + 0.0672763i
\(220\) −126.928 83.4817i −0.576945 0.379462i
\(221\) 9.46843 + 81.0076i 0.0428436 + 0.366550i
\(222\) −167.914 + 248.557i −0.756369 + 1.11963i
\(223\) 118.863 + 59.6952i 0.533018 + 0.267692i 0.694885 0.719121i \(-0.255455\pi\)
−0.161867 + 0.986813i \(0.551752\pi\)
\(224\) −74.1726 + 13.0786i −0.331128 + 0.0583867i
\(225\) 125.370 + 230.094i 0.557198 + 1.02264i
\(226\) −43.6155 + 247.356i −0.192989 + 1.09449i
\(227\) −159.489 118.735i −0.702593 0.523061i 0.185546 0.982636i \(-0.440595\pi\)
−0.888139 + 0.459574i \(0.848002\pi\)
\(228\) 5.61464 9.45318i 0.0246256 0.0414613i
\(229\) 4.10028 4.34605i 0.0179052 0.0189784i −0.718359 0.695672i \(-0.755107\pi\)
0.736264 + 0.676694i \(0.236588\pi\)
\(230\) 43.7212 13.0893i 0.190092 0.0569099i
\(231\) 268.998 312.653i 1.16450 1.35347i
\(232\) −119.661 13.9864i −0.515781 0.0602862i
\(233\) −17.9452 + 21.3863i −0.0770181 + 0.0917866i −0.803178 0.595740i \(-0.796859\pi\)
0.726159 + 0.687526i \(0.241303\pi\)
\(234\) 24.7511 94.0175i 0.105774 0.401784i
\(235\) 20.0506 16.8244i 0.0853217 0.0715934i
\(236\) −71.7294 109.059i −0.303938 0.462116i
\(237\) 108.329 + 149.327i 0.457082 + 0.630072i
\(238\) 120.058 + 161.266i 0.504446 + 0.677589i
\(239\) −200.160 398.552i −0.837491 1.66758i −0.740261 0.672319i \(-0.765298\pi\)
−0.0972297 0.995262i \(-0.530998\pi\)
\(240\) −81.4815 + 33.9600i −0.339506 + 0.141500i
\(241\) −337.595 + 80.0116i −1.40081 + 0.331998i −0.860493 0.509462i \(-0.829844\pi\)
−0.540318 + 0.841461i \(0.681696\pi\)
\(242\) 20.3297i 0.0840069i
\(243\) −223.471 + 95.4446i −0.919634 + 0.392776i
\(244\) 75.1483 0.307985
\(245\) −217.606 918.151i −0.888187 3.74755i
\(246\) 46.8731 + 112.464i 0.190541 + 0.457172i
\(247\) −12.5083 + 6.28192i −0.0506410 + 0.0254329i
\(248\) −129.729 + 96.5796i −0.523100 + 0.389434i
\(249\) 99.6312 72.2769i 0.400125 0.290269i
\(250\) −35.7643 + 23.5226i −0.143057 + 0.0940903i
\(251\) 13.8539 + 16.5105i 0.0551950 + 0.0657788i 0.792936 0.609305i \(-0.208552\pi\)
−0.737741 + 0.675084i \(0.764107\pi\)
\(252\) −63.0410 231.217i −0.250163 0.917527i
\(253\) −34.7010 29.1176i −0.137158 0.115089i
\(254\) −13.7577 + 117.705i −0.0541643 + 0.463406i
\(255\) 178.626 + 153.685i 0.700493 + 0.602686i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) −203.622 192.108i −0.792305 0.747501i 0.179380 0.983780i \(-0.442591\pi\)
−0.971685 + 0.236278i \(0.924072\pi\)
\(258\) −86.6096 51.4411i −0.335696 0.199384i
\(259\) 562.125 755.065i 2.17037 2.91531i
\(260\) 110.673 + 19.5146i 0.425665 + 0.0750562i
\(261\) 9.47133 383.235i 0.0362886 1.46833i
\(262\) −32.4069 183.788i −0.123690 0.701483i
\(263\) −0.930147 + 1.85207i −0.00353668 + 0.00704211i −0.895394 0.445275i \(-0.853106\pi\)
0.891857 + 0.452317i \(0.149402\pi\)
\(264\) 72.6037 + 49.0478i 0.275014 + 0.185787i
\(265\) −260.194 + 30.4123i −0.981862 + 0.114763i
\(266\) −18.9603 + 28.8277i −0.0712793 + 0.108375i
\(267\) 113.363 218.938i 0.424581 0.819992i
\(268\) −62.8178 + 209.826i −0.234395 + 0.782933i
\(269\) −58.4243 + 33.7313i −0.217191 + 0.125395i −0.604649 0.796492i \(-0.706687\pi\)
0.387458 + 0.921887i \(0.373353\pi\)
\(270\) −131.335 248.295i −0.486424 0.919611i
\(271\) −114.305 + 197.982i −0.421789 + 0.730561i −0.996115 0.0880665i \(-0.971931\pi\)
0.574325 + 0.818627i \(0.305265\pi\)
\(272\) −31.0662 + 29.3094i −0.114214 + 0.107755i
\(273\) −91.1075 + 291.178i −0.333727 + 1.06659i
\(274\) −11.7056 + 200.978i −0.0427213 + 0.733497i
\(275\) 276.049 + 119.076i 1.00381 + 0.433003i
\(276\) −25.3070 + 7.23698i −0.0916921 + 0.0262210i
\(277\) −1.48431 25.4846i −0.00535853 0.0920023i 0.994568 0.104084i \(-0.0331912\pi\)
−0.999927 + 0.0120819i \(0.996154\pi\)
\(278\) 107.835 296.276i 0.387897 1.06574i
\(279\) −343.803 382.938i −1.23227 1.37254i
\(280\) 260.319 94.7483i 0.929710 0.338387i
\(281\) −188.014 + 81.1011i −0.669087 + 0.288616i −0.703399 0.710795i \(-0.748335\pi\)
0.0343117 + 0.999411i \(0.489076\pi\)
\(282\) −11.6829 + 9.55969i −0.0414288 + 0.0338996i
\(283\) −175.028 41.4825i −0.618475 0.146581i −0.0905774 0.995889i \(-0.528871\pi\)
−0.527897 + 0.849308i \(0.677019\pi\)
\(284\) 6.18724 26.1060i 0.0217861 0.0919227i
\(285\) −14.2999 + 37.8279i −0.0501751 + 0.132729i
\(286\) −44.1803 102.421i −0.154477 0.358117i
\(287\) −130.776 359.303i −0.455665 1.25193i
\(288\) 47.2319 19.0040i 0.164000 0.0659859i
\(289\) −164.437 59.8503i −0.568988 0.207095i
\(290\) 442.377 25.7655i 1.52544 0.0888465i
\(291\) 223.674 + 55.9391i 0.768639 + 0.192230i
\(292\) 8.46105 19.6149i 0.0289762 0.0671743i
\(293\) −410.852 23.9294i −1.40223 0.0816704i −0.659721 0.751511i \(-0.729326\pi\)
−0.742505 + 0.669840i \(0.766363\pi\)
\(294\) 118.950 + 531.043i 0.404592 + 1.80627i
\(295\) 329.479 + 349.227i 1.11688 + 1.18382i
\(296\) 173.182 + 99.9864i 0.585073 + 0.337792i
\(297\) −134.271 + 244.337i −0.452092 + 0.822684i
\(298\) −201.912 349.722i −0.677557 1.17356i
\(299\) 32.1012 + 9.61048i 0.107362 + 0.0321421i
\(300\) 147.125 94.1823i 0.490415 0.313941i
\(301\) 264.118 + 173.713i 0.877469 + 0.577120i
\(302\) 11.3685 + 97.2640i 0.0376441 + 0.322066i
\(303\) 54.1365 + 3.82471i 0.178668 + 0.0126228i
\(304\) −6.55024 3.28965i −0.0215468 0.0108212i
\(305\) −272.206 + 47.9973i −0.892480 + 0.157368i
\(306\) −101.917 89.9020i −0.333063 0.293797i
\(307\) 1.78307 10.1123i 0.00580803 0.0329390i −0.981766 0.190093i \(-0.939121\pi\)
0.987574 + 0.157154i \(0.0502320\pi\)
\(308\) −220.555 164.197i −0.716088 0.533108i
\(309\) −92.8536 165.516i −0.300497 0.535652i
\(310\) 408.226 432.694i 1.31686 1.39579i
\(311\) 409.933 122.726i 1.31811 0.394617i 0.450909 0.892570i \(-0.351100\pi\)
0.867204 + 0.497953i \(0.165915\pi\)
\(312\) −63.6853 12.0425i −0.204120 0.0385978i
\(313\) 21.2456 + 2.48326i 0.0678773 + 0.00793372i 0.149964 0.988691i \(-0.452084\pi\)
−0.0820865 + 0.996625i \(0.526158\pi\)
\(314\) −203.954 + 243.063i −0.649536 + 0.774087i
\(315\) 376.029 + 797.262i 1.19374 + 2.53099i
\(316\) 94.2144 79.0552i 0.298147 0.250175i
\(317\) 248.121 + 377.250i 0.782717 + 1.19006i 0.977854 + 0.209287i \(0.0671144\pi\)
−0.195137 + 0.980776i \(0.562515\pi\)
\(318\) 150.269 15.6846i 0.472543 0.0493228i
\(319\) −262.648 352.797i −0.823347 1.10595i
\(320\) 26.4119 + 52.5904i 0.0825372 + 0.164345i
\(321\) −185.741 141.879i −0.578633 0.441991i
\(322\) 80.3755 19.0493i 0.249613 0.0591595i
\(323\) 19.5663i 0.0605767i
\(324\) 73.9707 + 144.126i 0.228305 + 0.444834i
\(325\) −222.389 −0.684275
\(326\) 43.1868 + 182.220i 0.132475 + 0.558956i
\(327\) −146.247 18.9281i −0.447239 0.0578840i
\(328\) 72.5876 36.4549i 0.221304 0.111143i
\(329\) 37.9991 28.2893i 0.115499 0.0859857i
\(330\) −294.316 131.292i −0.891867 0.397853i
\(331\) −468.840 + 308.361i −1.41643 + 0.931604i −0.416689 + 0.909049i \(0.636809\pi\)
−0.999746 + 0.0225543i \(0.992820\pi\)
\(332\) −52.7457 62.8599i −0.158873 0.189337i
\(333\) −266.388 + 577.865i −0.799964 + 1.73533i
\(334\) 115.699 + 97.0832i 0.346405 + 0.290668i
\(335\) 93.5259 800.165i 0.279182 2.38855i
\(336\) −150.799 + 52.7860i −0.448808 + 0.157101i
\(337\) 137.319 + 458.677i 0.407474 + 1.36106i 0.877995 + 0.478670i \(0.158881\pi\)
−0.470520 + 0.882389i \(0.655934\pi\)
\(338\) −113.827 107.390i −0.336765 0.317721i
\(339\) −6.58253 + 532.774i −0.0194175 + 1.57161i
\(340\) 93.8096 126.008i 0.275911 0.370612i
\(341\) −581.475 102.530i −1.70521 0.300674i
\(342\) 8.51620 21.7132i 0.0249012 0.0634890i
\(343\) −183.271 1039.38i −0.534318 3.03027i
\(344\) −30.1396 + 60.0130i −0.0876153 + 0.174456i
\(345\) 87.0462 42.3778i 0.252308 0.122834i
\(346\) 155.542 18.1803i 0.449544 0.0525441i
\(347\) 198.146 301.266i 0.571025 0.868202i −0.428348 0.903614i \(-0.640904\pi\)
0.999373 + 0.0354125i \(0.0112745\pi\)
\(348\) −255.300 + 11.7068i −0.733619 + 0.0336402i
\(349\) −84.3338 + 281.695i −0.241644 + 0.807148i 0.748012 + 0.663686i \(0.231009\pi\)
−0.989656 + 0.143462i \(0.954176\pi\)
\(350\) −474.761 + 274.103i −1.35646 + 0.783152i
\(351\) 19.6126 205.302i 0.0558763 0.584906i
\(352\) 29.2061 50.5865i 0.0829720 0.143712i
\(353\) 198.287 187.074i 0.561719 0.529955i −0.352160 0.935940i \(-0.614553\pi\)
0.913880 + 0.405985i \(0.133071\pi\)
\(354\) −187.520 203.745i −0.529718 0.575550i
\(355\) −5.73782 + 98.5145i −0.0161629 + 0.277506i
\(356\) −150.922 65.1013i −0.423938 0.182869i
\(357\) 306.578 + 296.485i 0.858762 + 0.830491i
\(358\) −16.3781 281.201i −0.0457489 0.785478i
\(359\) 131.024 359.986i 0.364970 1.00275i −0.612278 0.790643i \(-0.709747\pi\)
0.977247 0.212103i \(-0.0680312\pi\)
\(360\) −158.948 + 99.0042i −0.441522 + 0.275012i
\(361\) 336.074 122.321i 0.930952 0.338839i
\(362\) 173.198 74.7101i 0.478446 0.206382i
\(363\) −6.96344 42.5598i −0.0191830 0.117245i
\(364\) 197.916 + 46.9071i 0.543727 + 0.128866i
\(365\) −18.1200 + 76.4543i −0.0496438 + 0.209464i
\(366\) 157.322 25.7403i 0.429841 0.0703286i
\(367\) 168.285 + 390.129i 0.458543 + 1.06302i 0.978015 + 0.208534i \(0.0668693\pi\)
−0.519472 + 0.854487i \(0.673871\pi\)
\(368\) 6.00165 + 16.4894i 0.0163088 + 0.0448081i
\(369\) 136.650 + 219.387i 0.370325 + 0.594545i
\(370\) −691.169 251.565i −1.86803 0.679906i
\(371\) −473.333 + 27.5685i −1.27583 + 0.0743087i
\(372\) −238.504 + 246.623i −0.641141 + 0.662966i
\(373\) −162.347 + 376.364i −0.435248 + 1.00902i 0.549573 + 0.835445i \(0.314790\pi\)
−0.984821 + 0.173572i \(0.944469\pi\)
\(374\) −155.661 9.06620i −0.416205 0.0242412i
\(375\) −66.8150 + 61.4943i −0.178173 + 0.163985i
\(376\) 6.90618 + 7.32012i 0.0183675 + 0.0194684i
\(377\) 281.765 + 162.677i 0.747388 + 0.431505i
\(378\) −211.173 462.455i −0.558659 1.22343i
\(379\) 174.515 + 302.269i 0.460462 + 0.797543i 0.998984 0.0450685i \(-0.0143506\pi\)
−0.538522 + 0.842611i \(0.681017\pi\)
\(380\) 25.8277 + 7.73232i 0.0679677 + 0.0203482i
\(381\) 11.5154 + 251.126i 0.0302242 + 0.659123i
\(382\) 286.786 + 188.622i 0.750749 + 0.493775i
\(383\) −1.74414 14.9221i −0.00455390 0.0389611i 0.990770 0.135551i \(-0.0432805\pi\)
−0.995324 + 0.0965900i \(0.969206\pi\)
\(384\) −14.8569 30.5168i −0.0386898 0.0794708i
\(385\) 903.780 + 453.895i 2.34748 + 1.17895i
\(386\) −60.4764 + 10.6636i −0.156675 + 0.0276260i
\(387\) −198.936 78.0250i −0.514046 0.201615i
\(388\) 26.6912 151.373i 0.0687918 0.390138i
\(389\) 177.106 + 131.850i 0.455285 + 0.338947i 0.800248 0.599669i \(-0.204701\pi\)
−0.344963 + 0.938616i \(0.612109\pi\)
\(390\) 238.376 + 2.94518i 0.611221 + 0.00755176i
\(391\) 32.1445 34.0711i 0.0822109 0.0871385i
\(392\) 347.560 104.053i 0.886632 0.265440i
\(393\) −130.796 373.658i −0.332813 0.950784i
\(394\) 128.559 + 15.0263i 0.326291 + 0.0381379i
\(395\) −290.776 + 346.533i −0.736141 + 0.877299i
\(396\) 168.795 + 77.8121i 0.426250 + 0.196495i
\(397\) −142.530 + 119.597i −0.359017 + 0.301251i −0.804399 0.594090i \(-0.797512\pi\)
0.445382 + 0.895341i \(0.353068\pi\)
\(398\) 40.0510 + 60.8946i 0.100631 + 0.153001i
\(399\) −29.8188 + 66.8448i −0.0747339 + 0.167531i
\(400\) −69.5444 93.4143i −0.173861 0.233536i
\(401\) −239.021 475.931i −0.596063 1.18686i −0.966179 0.257874i \(-0.916978\pi\)
0.370115 0.928986i \(-0.379318\pi\)
\(402\) −59.6372 + 460.784i −0.148351 + 1.14623i
\(403\) 424.997 100.726i 1.05458 0.249941i
\(404\) 36.1810i 0.0895568i
\(405\) −359.994 474.816i −0.888875 1.17239i
\(406\) 802.023 1.97543
\(407\) 168.362 + 710.376i 0.413666 + 1.74539i
\(408\) −54.9973 + 71.9998i −0.134797 + 0.176470i
\(409\) −184.262 + 92.5398i −0.450518 + 0.226259i −0.659566 0.751647i \(-0.729260\pi\)
0.209048 + 0.977905i \(0.432964\pi\)
\(410\) −239.647 + 178.411i −0.584505 + 0.435148i
\(411\) 44.3347 + 424.754i 0.107870 + 1.03347i
\(412\) −105.707 + 69.5249i −0.256571 + 0.168750i
\(413\) 558.569 + 665.677i 1.35247 + 1.61181i
\(414\) −50.5010 + 23.8188i −0.121983 + 0.0575334i
\(415\) 231.207 + 194.006i 0.557126 + 0.467484i
\(416\) −5.01629 + 42.9171i −0.0120584 + 0.103166i
\(417\) 124.270 657.185i 0.298009 1.57598i
\(418\) −7.67478 25.6356i −0.0183607 0.0613291i
\(419\) −57.5679 54.3125i −0.137394 0.129624i 0.614477 0.788934i \(-0.289367\pi\)
−0.751871 + 0.659310i \(0.770848\pi\)
\(420\) 512.519 287.520i 1.22028 0.684571i
\(421\) −228.408 + 306.805i −0.542537 + 0.728753i −0.985853 0.167612i \(-0.946394\pi\)
0.443316 + 0.896365i \(0.353802\pi\)
\(422\) 96.7877 + 17.0663i 0.229355 + 0.0404414i
\(423\) −21.1836 + 24.0148i −0.0500794 + 0.0567725i
\(424\) −17.4904 99.1932i −0.0412510 0.233946i
\(425\) −139.519 + 277.806i −0.328281 + 0.653661i
\(426\) 4.01090 56.7719i 0.00941526 0.133267i
\(427\) −496.889 + 58.0781i −1.16368 + 0.136014i
\(428\) −85.6243 + 130.185i −0.200057 + 0.304172i
\(429\) −127.573 199.285i −0.297372 0.464533i
\(430\) 70.8431 236.633i 0.164751 0.550308i
\(431\) −325.372 + 187.854i −0.754924 + 0.435856i −0.827470 0.561509i \(-0.810221\pi\)
0.0725460 + 0.997365i \(0.476888\pi\)
\(432\) 92.3698 55.9626i 0.213819 0.129543i
\(433\) −42.9528 + 74.3964i −0.0991981 + 0.171816i −0.911353 0.411626i \(-0.864961\pi\)
0.812155 + 0.583442i \(0.198294\pi\)
\(434\) 783.142 738.856i 1.80447 1.70243i
\(435\) 917.283 205.465i 2.10870 0.472334i
\(436\) −5.71629 + 98.1449i −0.0131108 + 0.225103i
\(437\) 7.38145 + 3.18405i 0.0168912 + 0.00728615i
\(438\) 10.9944 43.9616i 0.0251015 0.100369i
\(439\) −25.1088 431.102i −0.0571955 0.982009i −0.897812 0.440379i \(-0.854844\pi\)
0.840617 0.541631i \(-0.182193\pi\)
\(440\) −73.4824 + 201.891i −0.167005 + 0.458844i
\(441\) 430.916 + 1070.99i 0.977133 + 2.42854i
\(442\) 108.386 39.4493i 0.245217 0.0892517i
\(443\) −42.0557 + 18.1411i −0.0949340 + 0.0409505i −0.443017 0.896513i \(-0.646092\pi\)
0.348083 + 0.937464i \(0.386833\pi\)
\(444\) 396.801 + 150.001i 0.893696 + 0.337840i
\(445\) 588.257 + 139.420i 1.32193 + 0.313302i
\(446\) 43.3802 183.036i 0.0972651 0.410394i
\(447\) −542.488 662.977i −1.21362 1.48317i
\(448\) 42.1881 + 97.8029i 0.0941698 + 0.218310i
\(449\) −171.930 472.375i −0.382919 1.05206i −0.970121 0.242620i \(-0.921993\pi\)
0.587203 0.809440i \(-0.300229\pi\)
\(450\) 275.743 247.563i 0.612763 0.550140i
\(451\) 278.659 + 101.424i 0.617870 + 0.224886i
\(452\) 354.609 20.6536i 0.784533 0.0456939i
\(453\) 57.1153 + 199.727i 0.126082 + 0.440898i
\(454\) −111.375 + 258.195i −0.245319 + 0.568712i
\(455\) −746.864 43.4998i −1.64146 0.0956041i
\(456\) −14.8396 4.64321i −0.0325430 0.0101825i
\(457\) −237.159 251.374i −0.518948 0.550053i 0.413900 0.910322i \(-0.364166\pi\)
−0.932848 + 0.360269i \(0.882685\pi\)
\(458\) −7.31783 4.22495i −0.0159778 0.00922479i
\(459\) −244.156 153.299i −0.531931 0.333985i
\(460\) −32.2713 55.8955i −0.0701550 0.121512i
\(461\) 152.143 + 45.5487i 0.330029 + 0.0988042i 0.447531 0.894268i \(-0.352303\pi\)
−0.117502 + 0.993073i \(0.537489\pi\)
\(462\) −517.970 268.198i −1.12115 0.580516i
\(463\) −91.7832 60.3668i −0.198236 0.130382i 0.446510 0.894778i \(-0.352667\pi\)
−0.644746 + 0.764397i \(0.723037\pi\)
\(464\) 19.7797 + 169.226i 0.0426287 + 0.364712i
\(465\) 706.405 1045.67i 1.51915 2.24874i
\(466\) 35.2822 + 17.7194i 0.0757128 + 0.0380244i
\(467\) 679.919 119.888i 1.45593 0.256719i 0.611014 0.791620i \(-0.290762\pi\)
0.844915 + 0.534901i \(0.179651\pi\)
\(468\) −137.449 3.39694i −0.293695 0.00725842i
\(469\) 253.196 1435.94i 0.539862 3.06171i
\(470\) −29.6913 22.1044i −0.0631730 0.0470305i
\(471\) −343.720 + 578.709i −0.729766 + 1.22868i
\(472\) −126.682 + 134.275i −0.268394 + 0.284481i
\(473\) −234.872 + 70.3160i −0.496558 + 0.148660i
\(474\) 170.158 197.772i 0.358983 0.417240i
\(475\) −52.9912 6.19378i −0.111560 0.0130395i
\(476\) 182.762 217.807i 0.383953 0.457577i
\(477\) 309.213 84.3065i 0.648245 0.176743i
\(478\) −483.164 + 405.423i −1.01080 + 0.848165i
\(479\) 154.493 + 234.895i 0.322532 + 0.490387i 0.959965 0.280119i \(-0.0903740\pi\)
−0.637433 + 0.770506i \(0.720004\pi\)
\(480\) 73.3065 + 101.050i 0.152722 + 0.210522i
\(481\) −322.491 433.181i −0.670460 0.900584i
\(482\) 220.207 + 438.468i 0.456861 + 0.909684i
\(483\) 161.740 67.4102i 0.334865 0.139566i
\(484\) −27.9755 + 6.63032i −0.0578006 + 0.0136990i
\(485\) 565.361i 1.16569i
\(486\) 204.224 + 276.389i 0.420213 + 0.568701i
\(487\) −545.733 −1.12060 −0.560300 0.828289i \(-0.689314\pi\)
−0.560300 + 0.828289i \(0.689314\pi\)
\(488\) −24.5089 103.411i −0.0502231 0.211908i
\(489\) 152.826 + 366.681i 0.312527 + 0.749859i
\(490\) −1192.49 + 598.891i −2.43366 + 1.22223i
\(491\) −333.010 + 247.917i −0.678228 + 0.504922i −0.880281 0.474452i \(-0.842646\pi\)
0.202053 + 0.979375i \(0.435239\pi\)
\(492\) 139.474 101.181i 0.283484 0.205652i
\(493\) 379.984 249.919i 0.770758 0.506936i
\(494\) 12.7240 + 15.1638i 0.0257570 + 0.0306960i
\(495\) −661.117 174.046i −1.33559 0.351608i
\(496\) 175.212 + 147.021i 0.353251 + 0.296412i
\(497\) −20.7348 + 177.398i −0.0417200 + 0.356938i
\(498\) −131.953 113.529i −0.264967 0.227971i
\(499\) −110.473 369.007i −0.221389 0.739492i −0.994455 0.105166i \(-0.966463\pi\)
0.773065 0.634327i \(-0.218723\pi\)
\(500\) 44.0334 + 41.5434i 0.0880668 + 0.0830868i
\(501\) 275.468 + 163.612i 0.549837 + 0.326571i
\(502\) 18.2016 24.4491i 0.0362583 0.0487033i
\(503\) 258.532 + 45.5861i 0.513980 + 0.0906285i 0.424621 0.905371i \(-0.360407\pi\)
0.0893585 + 0.996000i \(0.471518\pi\)
\(504\) −297.616 + 162.159i −0.590507 + 0.321745i
\(505\) 23.1088 + 131.057i 0.0457600 + 0.259518i
\(506\) −28.7511 + 57.2482i −0.0568204 + 0.113139i
\(507\) −275.078 185.830i −0.542560 0.366529i
\(508\) 166.460 19.4564i 0.327677 0.0383000i
\(509\) −500.163 + 760.461i −0.982639 + 1.49403i −0.117143 + 0.993115i \(0.537374\pi\)
−0.865496 + 0.500915i \(0.832997\pi\)
\(510\) 153.228 295.928i 0.300447 0.580252i
\(511\) −40.7861 + 136.235i −0.0798163 + 0.266605i
\(512\) −19.5959 + 11.3137i −0.0382733 + 0.0220971i
\(513\) 10.3912 48.3733i 0.0202557 0.0942950i
\(514\) −197.949 + 342.858i −0.385115 + 0.667038i
\(515\) 338.494 319.352i 0.657269 0.620102i
\(516\) −42.5409 + 135.960i −0.0824435 + 0.263488i
\(517\) −2.13627 + 36.6783i −0.00413205 + 0.0709445i
\(518\) −1222.37 527.279i −2.35979 1.01791i
\(519\) 319.398 91.3373i 0.615410 0.175987i
\(520\) −9.24093 158.661i −0.0177710 0.305117i
\(521\) 109.018 299.523i 0.209247 0.574900i −0.790024 0.613075i \(-0.789932\pi\)
0.999271 + 0.0381749i \(0.0121544\pi\)
\(522\) −530.456 + 111.955i −1.01620 + 0.214473i
\(523\) −383.375 + 139.537i −0.733030 + 0.266801i −0.681447 0.731868i \(-0.738649\pi\)
−0.0515831 + 0.998669i \(0.516427\pi\)
\(524\) −242.341 + 104.536i −0.462483 + 0.199496i
\(525\) −900.017 + 736.449i −1.71432 + 1.40276i
\(526\) 2.85199 + 0.675933i 0.00542203 + 0.00128504i
\(527\) 140.802 594.092i 0.267177 1.12731i
\(528\) 43.8154 115.906i 0.0829837 0.219519i
\(529\) 201.904 + 468.065i 0.381670 + 0.884811i
\(530\) 126.710 + 348.132i 0.239075 + 0.656853i
\(531\) −462.358 362.306i −0.870731 0.682308i
\(532\) 45.8533 + 16.6893i 0.0861905 + 0.0313708i
\(533\) −218.990 + 12.7547i −0.410864 + 0.0239301i
\(534\) −338.251 84.5939i −0.633429 0.158416i
\(535\) 227.003 526.253i 0.424306 0.983651i
\(536\) 309.228 + 18.0105i 0.576917 + 0.0336016i
\(537\) −130.606 583.081i −0.243214 1.08581i
\(538\) 65.4719 + 69.3962i 0.121695 + 0.128989i
\(539\) 1147.05 + 662.251i 2.12811 + 1.22867i
\(540\) −298.844 + 261.708i −0.553414 + 0.484644i
\(541\) −453.090 784.775i −0.837505 1.45060i −0.891975 0.452085i \(-0.850680\pi\)
0.0544699 0.998515i \(-0.482653\pi\)
\(542\) 309.721 + 92.7244i 0.571441 + 0.171078i
\(543\) 336.996 215.729i 0.620619 0.397291i
\(544\) 50.4644 + 33.1910i 0.0927655 + 0.0610128i
\(545\) −41.9794 359.157i −0.0770264 0.659003i
\(546\) 430.402 + 30.4076i 0.788282 + 0.0556916i
\(547\) 449.346 + 225.670i 0.821473 + 0.412559i 0.809321 0.587367i \(-0.199835\pi\)
0.0121523 + 0.999926i \(0.496132\pi\)
\(548\) 280.382 49.4390i 0.511647 0.0902171i
\(549\) 320.534 107.774i 0.583851 0.196309i
\(550\) 73.8289 418.705i 0.134234 0.761281i
\(551\) 62.6086 + 46.6104i 0.113627 + 0.0845923i
\(552\) 18.2124 + 32.4646i 0.0329935 + 0.0588126i
\(553\) −561.859 + 595.536i −1.01602 + 1.07692i
\(554\) −34.5852 + 10.3541i −0.0624281 + 0.0186897i
\(555\) −1533.12 289.904i −2.76238 0.522350i
\(556\) −442.872 51.7643i −0.796533 0.0931013i
\(557\) 403.271 480.599i 0.724005 0.862836i −0.271008 0.962577i \(-0.587357\pi\)
0.995013 + 0.0997414i \(0.0318016\pi\)
\(558\) −414.830 + 597.996i −0.743423 + 1.07168i
\(559\) 138.930 116.576i 0.248534 0.208545i
\(560\) −215.283 327.322i −0.384434 0.584503i
\(561\) −328.979 + 34.3379i −0.586414 + 0.0612084i
\(562\) 172.921 + 232.274i 0.307689 + 0.413299i
\(563\) −371.640 739.997i −0.660107 1.31438i −0.935594 0.353077i \(-0.885135\pi\)
0.275487 0.961305i \(-0.411161\pi\)
\(564\) 16.9653 + 12.9590i 0.0300803 + 0.0229770i
\(565\) −1271.29 + 301.302i −2.25008 + 0.533278i
\(566\) 254.384i 0.449442i
\(567\) −600.490 895.811i −1.05907 1.57991i
\(568\) −37.9423 −0.0667997
\(569\) −55.9034 235.875i −0.0982485 0.414543i 0.901589 0.432595i \(-0.142402\pi\)
−0.999837 + 0.0180515i \(0.994254\pi\)
\(570\) 56.7185 + 7.34081i 0.0995061 + 0.0128786i
\(571\) 665.544 334.249i 1.16558 0.585374i 0.242560 0.970136i \(-0.422013\pi\)
0.923016 + 0.384762i \(0.125717\pi\)
\(572\) −126.533 + 94.2000i −0.221211 + 0.164685i
\(573\) 664.990 + 296.646i 1.16054 + 0.517706i
\(574\) −451.784 + 297.143i −0.787080 + 0.517671i
\(575\) 82.0991 + 97.8419i 0.142781 + 0.170160i
\(576\) −41.5554 58.7975i −0.0721448 0.102079i
\(577\) 277.118 + 232.530i 0.480274 + 0.402998i 0.850526 0.525934i \(-0.176284\pi\)
−0.370251 + 0.928932i \(0.620728\pi\)
\(578\) −28.7300 + 245.801i −0.0497059 + 0.425261i
\(579\) −122.954 + 43.0389i −0.212356 + 0.0743331i
\(580\) −179.732 600.348i −0.309884 1.03508i
\(581\) 397.342 + 374.873i 0.683893 + 0.645220i
\(582\) 4.02829 326.040i 0.00692147 0.560207i
\(583\) 219.586 294.955i 0.376648 0.505926i
\(584\) −29.7514 5.24598i −0.0509442 0.00898284i
\(585\) 500.045 75.4843i 0.854778 0.129033i
\(586\) 101.066 + 573.175i 0.172468 + 0.978115i
\(587\) 134.665 268.140i 0.229412 0.456797i −0.749246 0.662292i \(-0.769584\pi\)
0.978658 + 0.205494i \(0.0658802\pi\)
\(588\) 691.970 336.880i 1.17682 0.572926i
\(589\) 104.074 12.1645i 0.176696 0.0206528i
\(590\) 373.113 567.290i 0.632394 0.961509i
\(591\) 274.282 12.5773i 0.464099 0.0212813i
\(592\) 81.1092 270.924i 0.137009 0.457641i
\(593\) −406.841 + 234.890i −0.686072 + 0.396104i −0.802139 0.597138i \(-0.796305\pi\)
0.116067 + 0.993241i \(0.462971\pi\)
\(594\) 380.022 + 105.082i 0.639768 + 0.176905i
\(595\) −522.895 + 905.681i −0.878816 + 1.52215i
\(596\) −415.398 + 391.908i −0.696977 + 0.657564i
\(597\) 104.704 + 113.763i 0.175384 + 0.190558i
\(598\) 2.75541 47.3086i 0.00460772 0.0791114i
\(599\) 267.229 + 115.271i 0.446125 + 0.192440i 0.607277 0.794490i \(-0.292262\pi\)
−0.161152 + 0.986930i \(0.551521\pi\)
\(600\) −177.587 171.741i −0.295978 0.286234i
\(601\) 5.34297 + 91.7353i 0.00889014 + 0.152638i 0.999832 + 0.0183442i \(0.00583947\pi\)
−0.990942 + 0.134294i \(0.957123\pi\)
\(602\) 152.906 420.106i 0.253997 0.697851i
\(603\) 32.9812 + 985.072i 0.0546952 + 1.63362i
\(604\) 130.137 47.3659i 0.215458 0.0784203i
\(605\) 97.0996 41.8847i 0.160495 0.0692309i
\(606\) −12.3929 75.7443i −0.0204504 0.124991i
\(607\) −1102.50 261.296i −1.81630 0.430472i −0.825343 0.564632i \(-0.809018\pi\)
−0.990960 + 0.134161i \(0.957166\pi\)
\(608\) −2.39057 + 10.0866i −0.00393187 + 0.0165898i
\(609\) 1679.02 274.714i 2.75702 0.451090i
\(610\) 154.826 + 358.928i 0.253813 + 0.588406i
\(611\) −9.29543 25.5390i −0.0152135 0.0417986i
\(612\) −90.4742 + 169.568i −0.147834 + 0.277073i
\(613\) 121.798 + 44.3307i 0.198691 + 0.0723176i 0.439449 0.898268i \(-0.355174\pi\)
−0.240758 + 0.970585i \(0.577396\pi\)
\(614\) −14.4970 + 0.844352i −0.0236107 + 0.00137517i
\(615\) −440.587 + 455.585i −0.716402 + 0.740789i
\(616\) −154.019 + 357.056i −0.250031 + 0.579636i
\(617\) 483.713 + 28.1731i 0.783976 + 0.0456614i 0.445463 0.895300i \(-0.353039\pi\)
0.338513 + 0.940962i \(0.390076\pi\)
\(618\) −197.483 + 181.757i −0.319551 + 0.294105i
\(619\) −361.031 382.671i −0.583249 0.618208i 0.366803 0.930299i \(-0.380452\pi\)
−0.950052 + 0.312090i \(0.898971\pi\)
\(620\) −728.566 420.638i −1.17511 0.678448i
\(621\) −97.5645 + 67.1623i −0.157109 + 0.108152i
\(622\) −302.578 524.081i −0.486460 0.842573i
\(623\) 1048.23 + 313.818i 1.68255 + 0.503721i
\(624\) 4.19871 + 91.5645i 0.00672870 + 0.146738i
\(625\) 422.090 + 277.613i 0.675344 + 0.444181i
\(626\) −3.51185 30.0458i −0.00560999 0.0479965i
\(627\) −24.8479 51.0388i −0.0396298 0.0814016i
\(628\) 400.996 + 201.388i 0.638528 + 0.320681i
\(629\) −743.443 + 131.089i −1.18194 + 0.208409i
\(630\) 974.468 777.470i 1.54677 1.23408i
\(631\) 125.933 714.203i 0.199577 1.13186i −0.706170 0.708042i \(-0.749579\pi\)
0.905748 0.423817i \(-0.139310\pi\)
\(632\) −139.514 103.865i −0.220751 0.164343i
\(633\) 208.469 + 2.57568i 0.329335 + 0.00406900i
\(634\) 438.209 464.474i 0.691181 0.732610i
\(635\) −590.534 + 176.794i −0.929975 + 0.278416i
\(636\) −70.5922 201.668i −0.110994 0.317089i
\(637\) −973.148 113.745i −1.52771 0.178563i
\(638\) −399.822 + 476.489i −0.626680 + 0.746848i
\(639\) −11.0491 120.225i −0.0172912 0.188145i
\(640\) 63.7553 53.4971i 0.0996177 0.0835892i
\(641\) 31.0973 + 47.2811i 0.0485137 + 0.0737615i 0.858930 0.512093i \(-0.171130\pi\)
−0.810417 + 0.585854i \(0.800759\pi\)
\(642\) −134.661 + 301.870i −0.209753 + 0.470202i
\(643\) 482.576 + 648.212i 0.750507 + 1.00811i 0.999218 + 0.0395283i \(0.0125855\pi\)
−0.248711 + 0.968578i \(0.580007\pi\)
\(644\) −52.4274 104.391i −0.0814089 0.162099i
\(645\) 67.2562 519.652i 0.104273 0.805662i
\(646\) 26.9250 6.38135i 0.0416796 0.00987825i
\(647\) 200.293i 0.309571i −0.987948 0.154786i \(-0.950531\pi\)
0.987948 0.154786i \(-0.0494687\pi\)
\(648\) 174.206 148.796i 0.268837 0.229623i
\(649\) −673.941 −1.03843
\(650\) 72.5301 + 306.029i 0.111585 + 0.470813i
\(651\) 1386.42 1815.03i 2.12967 2.78806i
\(652\) 236.666 118.858i 0.362985 0.182298i
\(653\) 339.518 252.762i 0.519935 0.387077i −0.304958 0.952366i \(-0.598642\pi\)
0.824893 + 0.565288i \(0.191235\pi\)
\(654\) 21.6502 + 207.423i 0.0331043 + 0.317160i
\(655\) 811.053 533.438i 1.23825 0.814410i
\(656\) −73.8390 87.9979i −0.112559 0.134143i
\(657\) 7.95869 95.7989i 0.0121137 0.145813i
\(658\) −51.3218 43.0641i −0.0779966 0.0654469i
\(659\) −123.646 + 1057.86i −0.187626 + 1.60525i 0.491268 + 0.871009i \(0.336534\pi\)
−0.678894 + 0.734236i \(0.737540\pi\)
\(660\) −84.6812 + 447.826i −0.128305 + 0.678524i
\(661\) 172.057 + 574.710i 0.260298 + 0.869456i 0.983821 + 0.179155i \(0.0573364\pi\)
−0.723523 + 0.690300i \(0.757478\pi\)
\(662\) 577.241 + 544.598i 0.871965 + 0.822656i
\(663\) 213.392 119.711i 0.321858 0.180560i
\(664\) −69.2986 + 93.0842i −0.104365 + 0.140187i
\(665\) −176.752 31.1661i −0.265792 0.0468664i
\(666\) 882.076 + 178.110i 1.32444 + 0.267432i
\(667\) −32.4477 184.020i −0.0486472 0.275892i
\(668\) 95.8614 190.876i 0.143505 0.285742i
\(669\) 28.1213 398.041i 0.0420349 0.594979i
\(670\) −1131.60 + 132.266i −1.68896 + 0.197411i
\(671\) 213.203 324.159i 0.317739 0.483099i
\(672\) 121.820 + 190.298i 0.181280 + 0.283182i
\(673\) 6.88922 23.0116i 0.0102366 0.0341926i −0.952719 0.303854i \(-0.901727\pi\)
0.962955 + 0.269661i \(0.0869117\pi\)
\(674\) 586.397 338.557i 0.870025 0.502309i
\(675\) 492.467 612.719i 0.729581 0.907731i
\(676\) −110.655 + 191.660i −0.163691 + 0.283521i
\(677\) 178.730 168.623i 0.264003 0.249074i −0.542845 0.839833i \(-0.682653\pi\)
0.806848 + 0.590759i \(0.201172\pi\)
\(678\) 735.294 164.701i 1.08450 0.242922i
\(679\) −59.4972 + 1021.53i −0.0876247 + 1.50446i
\(680\) −203.994 87.9945i −0.299991 0.129404i
\(681\) −144.722 + 578.677i −0.212514 + 0.849746i
\(682\) 48.5518 + 833.603i 0.0711904 + 1.22229i
\(683\) 5.03038 13.8208i 0.00736512 0.0202355i −0.935956 0.352118i \(-0.885462\pi\)
0.943321 + 0.331883i \(0.107684\pi\)
\(684\) −32.6569 4.63753i −0.0477440 0.00678002i
\(685\) −984.040 + 358.161i −1.43655 + 0.522863i
\(686\) −1370.51 + 591.182i −1.99783 + 0.861781i
\(687\) −16.7669 6.33832i −0.0244060 0.00922609i
\(688\) 92.4132 + 21.9023i 0.134322 + 0.0318348i
\(689\) −62.7302 + 264.679i −0.0910453 + 0.384150i
\(690\) −86.7051 105.963i −0.125660 0.153569i
\(691\) 90.1287 + 208.942i 0.130432 + 0.302376i 0.970900 0.239486i \(-0.0769789\pi\)
−0.840468 + 0.541862i \(0.817720\pi\)
\(692\) −75.7463 208.111i −0.109460 0.300739i
\(693\) −1176.23 384.051i −1.69730 0.554186i
\(694\) −479.193 174.412i −0.690480 0.251314i
\(695\) 1637.26 95.3594i 2.35577 0.137208i
\(696\) 99.3731 + 347.498i 0.142777 + 0.499279i
\(697\) −121.454 + 281.562i −0.174252 + 0.403962i
\(698\) 415.143 + 24.1793i 0.594760 + 0.0346408i
\(699\) 79.9320 + 25.0101i 0.114352 + 0.0357799i
\(700\) 532.030 + 563.919i 0.760043 + 0.805599i
\(701\) −944.978 545.583i −1.34804 0.778293i −0.360070 0.932925i \(-0.617247\pi\)
−0.987972 + 0.154633i \(0.950581\pi\)
\(702\) −288.911 + 39.9685i −0.411554 + 0.0569351i
\(703\) −64.7790 112.201i −0.0921465 0.159602i
\(704\) −79.1370 23.6921i −0.112411 0.0336535i
\(705\) −69.7296 36.1051i −0.0989072 0.0512129i
\(706\) −322.101 211.849i −0.456233 0.300069i
\(707\) 27.9623 + 239.233i 0.0395506 + 0.338377i
\(708\) −219.214 + 324.494i −0.309624 + 0.458325i
\(709\) 390.487 + 196.110i 0.550758 + 0.276601i 0.702337 0.711844i \(-0.252140\pi\)
−0.151580 + 0.988445i \(0.548436\pi\)
\(710\) 137.437 24.2338i 0.193573 0.0341321i
\(711\) 288.481 472.316i 0.405739 0.664297i
\(712\) −40.3638 + 228.915i −0.0566907 + 0.321509i
\(713\) −201.210 149.796i −0.282203 0.210092i
\(714\) 308.004 518.575i 0.431378 0.726296i
\(715\) 398.167 422.033i 0.556877 0.590256i
\(716\) −381.618 + 114.249i −0.532986 + 0.159565i
\(717\) −872.629 + 1014.24i −1.21706 + 1.41456i
\(718\) −538.106 62.8956i −0.749451 0.0875983i
\(719\) −568.852 + 677.932i −0.791171 + 0.942881i −0.999380 0.0352031i \(-0.988792\pi\)
0.208209 + 0.978084i \(0.433237\pi\)
\(720\) 188.078 + 186.438i 0.261220 + 0.258942i
\(721\) 645.218 541.402i 0.894893 0.750904i
\(722\) −277.932 422.575i −0.384947 0.585284i
\(723\) 611.186 + 842.499i 0.845347 + 1.16528i
\(724\) −159.295 213.970i −0.220020 0.295539i
\(725\) 556.569 + 1108.22i 0.767682 + 1.52858i
\(726\) −56.2952 + 23.4628i −0.0775416 + 0.0323179i
\(727\) −700.974 + 166.134i −0.964200 + 0.228520i −0.682421 0.730960i \(-0.739073\pi\)
−0.281779 + 0.959479i \(0.590925\pi\)
\(728\) 287.650i 0.395123i
\(729\) 522.209 + 508.664i 0.716336 + 0.697755i
\(730\) 111.118 0.152216
\(731\) −58.4656 246.686i −0.0799803 0.337464i
\(732\) −86.7300 208.095i −0.118484 0.284282i
\(733\) −340.125 + 170.817i −0.464018 + 0.233038i −0.665419 0.746470i \(-0.731747\pi\)
0.201401 + 0.979509i \(0.435451\pi\)
\(734\) 481.969 358.813i 0.656634 0.488846i
\(735\) −2291.33 + 1662.23i −3.11745 + 2.26154i
\(736\) 20.7336 13.6367i 0.0281706 0.0185281i
\(737\) 726.884 + 866.267i 0.986274 + 1.17540i
\(738\) 257.330 259.594i 0.348686 0.351753i
\(739\) 596.955 + 500.905i 0.807788 + 0.677815i 0.950079 0.312010i \(-0.101002\pi\)
−0.142291 + 0.989825i \(0.545447\pi\)
\(740\) −120.759 + 1033.16i −0.163188 + 1.39616i
\(741\) 31.8314 + 27.3870i 0.0429574 + 0.0369595i
\(742\) 192.310 + 642.360i 0.259178 + 0.865714i
\(743\) 1035.18 + 976.639i 1.39324 + 1.31445i 0.894055 + 0.447957i \(0.147848\pi\)
0.499184 + 0.866496i \(0.333633\pi\)
\(744\) 417.163 + 247.770i 0.560702 + 0.333025i
\(745\) 1254.37 1684.91i 1.68371 2.26162i
\(746\) 570.859 + 100.658i 0.765227 + 0.134930i
\(747\) −315.129 192.475i −0.421860 0.257663i
\(748\) 38.2912 + 217.160i 0.0511915 + 0.290321i
\(749\) 465.545 926.976i 0.621555 1.23762i
\(750\) 106.413 + 71.8878i 0.141884 + 0.0958504i
\(751\) 135.613 15.8509i 0.180577 0.0211064i −0.0253237 0.999679i \(-0.508062\pi\)
0.205901 + 0.978573i \(0.433988\pi\)
\(752\) 7.82079 11.8909i 0.0104000 0.0158124i
\(753\) 29.7304 57.4182i 0.0394826 0.0762526i
\(754\) 131.964 440.791i 0.175019 0.584603i
\(755\) −441.135 + 254.690i −0.584285 + 0.337337i
\(756\) −567.510 + 441.419i −0.750674 + 0.583888i
\(757\) 686.749 1189.48i 0.907198 1.57131i 0.0892578 0.996009i \(-0.471550\pi\)
0.817940 0.575304i \(-0.195116\pi\)
\(758\) 359.034 338.731i 0.473659 0.446874i
\(759\) −40.5810 + 129.696i −0.0534664 + 0.170878i
\(760\) 2.21693 38.0632i 0.00291701 0.0500832i
\(761\) −196.029 84.5589i −0.257595 0.111115i 0.263367 0.964696i \(-0.415167\pi\)
−0.520961 + 0.853580i \(0.674426\pi\)
\(762\) 341.817 97.7486i 0.448579 0.128279i
\(763\) −38.0541 653.363i −0.0498743 0.856308i
\(764\) 166.029 456.161i 0.217316 0.597070i
\(765\) 219.417 672.006i 0.286820 0.878439i
\(766\) −19.9654 + 7.26680i −0.0260644 + 0.00948668i
\(767\) 457.762 197.459i 0.596821 0.257443i
\(768\) −37.1485 + 30.3972i −0.0483704 + 0.0395797i
\(769\) 1243.74 + 294.772i 1.61735 + 0.383319i 0.936933 0.349509i \(-0.113651\pi\)
0.680415 + 0.732827i \(0.261800\pi\)
\(770\) 329.843 1391.72i 0.428368 1.80743i
\(771\) −296.965 + 785.570i −0.385169 + 1.01890i