Properties

Label 162.3.h.a.5.16
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 5.16
Character \(\chi\) \(=\) 162.5
Dual form 162.3.h.a.65.16

$q$-expansion

\(f(q)\) \(=\) \(q+(0.326140 + 1.37609i) q^{2} +(2.18959 + 2.05078i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-1.03753 + 0.772415i) q^{5} +(-2.10794 + 3.68193i) q^{6} +(-4.52918 + 2.97889i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(0.588642 + 8.98073i) q^{9} +O(q^{10})\) \(q+(0.326140 + 1.37609i) q^{2} +(2.18959 + 2.05078i) q^{3} +(-1.78727 + 0.897598i) q^{4} +(-1.03753 + 0.772415i) q^{5} +(-2.10794 + 3.68193i) q^{6} +(-4.52918 + 2.97889i) q^{7} +(-1.81808 - 2.16670i) q^{8} +(0.588642 + 8.98073i) q^{9} +(-1.40130 - 1.17583i) q^{10} +(-0.852172 + 7.29080i) q^{11} +(-5.75416 - 1.69990i) q^{12} +(0.717336 + 2.39607i) q^{13} +(-5.57637 - 5.26104i) q^{14} +(-3.85583 - 0.436473i) q^{15} +(2.38863 - 3.20849i) q^{16} +(12.8216 + 2.26080i) q^{17} +(-12.1663 + 3.73900i) q^{18} +(-0.163680 - 0.928274i) q^{19} +(1.16103 - 2.31180i) q^{20} +(-16.0261 - 2.76577i) q^{21} +(-10.3107 + 1.20515i) q^{22} +(23.9389 - 36.3973i) q^{23} +(0.462564 - 8.47266i) q^{24} +(-6.69023 + 22.3469i) q^{25} +(-3.06326 + 1.76858i) q^{26} +(-17.1286 + 20.8713i) q^{27} +(5.42100 - 9.38944i) q^{28} +(10.5679 - 9.97029i) q^{29} +(-0.656913 - 5.44833i) q^{30} +(-0.520156 + 8.93074i) q^{31} +(5.19421 + 2.24057i) q^{32} +(-16.8177 + 14.2163i) q^{33} +(1.07058 + 18.3811i) q^{34} +(2.39824 - 6.58910i) q^{35} +(-9.11315 - 15.5226i) q^{36} +(18.2424 - 6.63969i) q^{37} +(1.22401 - 0.527986i) q^{38} +(-3.34313 + 6.71752i) q^{39} +(3.55991 + 0.843714i) q^{40} +(2.27520 - 9.59983i) q^{41} +(-1.42079 - 22.9554i) q^{42} +(2.47852 + 5.74586i) q^{43} +(-5.02115 - 13.7955i) q^{44} +(-7.54759 - 8.86313i) q^{45} +(57.8935 + 21.0715i) q^{46} +(64.0157 - 3.72849i) q^{47} +(11.8100 - 2.12674i) q^{48} +(-7.76823 + 18.0088i) q^{49} +(-32.9334 - 1.91815i) q^{50} +(23.4377 + 31.2445i) q^{51} +(-3.43278 - 3.63853i) q^{52} +(31.0537 + 17.9289i) q^{53} +(-34.3072 - 16.7635i) q^{54} +(-4.74737 - 8.22268i) q^{55} +(14.6888 + 4.39752i) q^{56} +(1.54529 - 2.36821i) q^{57} +(17.1667 + 11.2907i) q^{58} +(-12.6486 - 108.216i) q^{59} +(7.28316 - 2.68089i) q^{60} +(55.2475 + 27.7463i) q^{61} +(-12.4592 + 2.19689i) q^{62} +(-29.4186 - 38.9218i) q^{63} +(-1.38919 + 7.87846i) q^{64} +(-2.59502 - 1.93192i) q^{65} +(-25.0478 - 18.5062i) q^{66} +(8.81515 - 9.34351i) q^{67} +(-24.9449 + 7.46801i) q^{68} +(127.059 - 30.6020i) q^{69} +(9.84938 + 1.15123i) q^{70} +(9.13600 - 10.8879i) q^{71} +(18.3884 - 17.6031i) q^{72} +(31.7996 - 26.6831i) q^{73} +(15.0864 + 22.9378i) q^{74} +(-60.4774 + 35.2105i) q^{75} +(1.12576 + 1.51215i) q^{76} +(-17.8588 - 35.5598i) q^{77} +(-10.3343 - 2.40960i) q^{78} +(-76.6120 + 18.1574i) q^{79} +5.17394i q^{80} +(-80.3070 + 10.5729i) q^{81} +13.9523 q^{82} +(-0.889177 - 3.75173i) q^{83} +(31.1254 - 9.44182i) q^{84} +(-15.0491 + 7.55795i) q^{85} +(-7.09850 + 5.28464i) q^{86} +(43.5862 - 0.158519i) q^{87} +(17.3463 - 11.4088i) q^{88} +(7.81943 + 9.31884i) q^{89} +(9.73493 - 13.2768i) q^{90} +(-10.3866 - 8.71536i) q^{91} +(-10.1150 + 86.5391i) q^{92} +(-19.4539 + 18.4880i) q^{93} +(26.0089 + 86.8756i) q^{94} +(0.886836 + 0.836687i) q^{95} +(6.77832 + 15.5581i) q^{96} +(-25.5306 + 34.2936i) q^{97} +(-27.3153 - 4.81642i) q^{98} +(-65.9783 - 3.36145i) 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
\(3\) 2.18959 + 2.05078i 0.729865 + 0.683592i
\(4\) −1.78727 + 0.897598i −0.446816 + 0.224400i
\(5\) −1.03753 + 0.772415i −0.207507 + 0.154483i −0.695895 0.718143i \(-0.744992\pi\)
0.488389 + 0.872626i \(0.337585\pi\)
\(6\) −2.10794 + 3.68193i −0.351324 + 0.613654i
\(7\) −4.52918 + 2.97889i −0.647025 + 0.425555i −0.830154 0.557534i \(-0.811748\pi\)
0.183129 + 0.983089i \(0.441377\pi\)
\(8\) −1.81808 2.16670i −0.227260 0.270838i
\(9\) 0.588642 + 8.98073i 0.0654047 + 0.997859i
\(10\) −1.40130 1.17583i −0.140130 0.117583i
\(11\) −0.852172 + 7.29080i −0.0774702 + 0.662800i 0.897586 + 0.440840i \(0.145319\pi\)
−0.975056 + 0.221960i \(0.928755\pi\)
\(12\) −5.75416 1.69990i −0.479513 0.141659i
\(13\) 0.717336 + 2.39607i 0.0551797 + 0.184313i 0.981136 0.193317i \(-0.0619244\pi\)
−0.925957 + 0.377630i \(0.876739\pi\)
\(14\) −5.57637 5.26104i −0.398312 0.375788i
\(15\) −3.85583 0.436473i −0.257055 0.0290982i
\(16\) 2.38863 3.20849i 0.149290 0.200531i
\(17\) 12.8216 + 2.26080i 0.754212 + 0.132988i 0.537519 0.843252i \(-0.319362\pi\)
0.216693 + 0.976240i \(0.430473\pi\)
\(18\) −12.1663 + 3.73900i −0.675908 + 0.207722i
\(19\) −0.163680 0.928274i −0.00861473 0.0488565i 0.980197 0.198023i \(-0.0634521\pi\)
−0.988812 + 0.149166i \(0.952341\pi\)
\(20\) 1.16103 2.31180i 0.0580515 0.115590i
\(21\) −16.0261 2.76577i −0.763147 0.131703i
\(22\) −10.3107 + 1.20515i −0.468670 + 0.0547797i
\(23\) 23.9389 36.3973i 1.04082 1.58249i 0.252137 0.967692i \(-0.418867\pi\)
0.788684 0.614799i \(-0.210763\pi\)
\(24\) 0.462564 8.47266i 0.0192735 0.353028i
\(25\) −6.69023 + 22.3469i −0.267609 + 0.893877i
\(26\) −3.06326 + 1.76858i −0.117818 + 0.0680222i
\(27\) −17.1286 + 20.8713i −0.634391 + 0.773012i
\(28\) 5.42100 9.38944i 0.193607 0.335337i
\(29\) 10.5679 9.97029i 0.364410 0.343803i −0.482157 0.876085i \(-0.660147\pi\)
0.846567 + 0.532281i \(0.178665\pi\)
\(30\) −0.656913 5.44833i −0.0218971 0.181611i
\(31\) −0.520156 + 8.93074i −0.0167792 + 0.288088i 0.979472 + 0.201581i \(0.0646078\pi\)
−0.996251 + 0.0865078i \(0.972429\pi\)
\(32\) 5.19421 + 2.24057i 0.162319 + 0.0700177i
\(33\) −16.8177 + 14.2163i −0.509627 + 0.430796i
\(34\) 1.07058 + 18.3811i 0.0314875 + 0.540620i
\(35\) 2.39824 6.58910i 0.0685210 0.188260i
\(36\) −9.11315 15.5226i −0.253143 0.431183i
\(37\) 18.2424 6.63969i 0.493038 0.179451i −0.0835222 0.996506i \(-0.526617\pi\)
0.576560 + 0.817055i \(0.304395\pi\)
\(38\) 1.22401 0.527986i 0.0322108 0.0138944i
\(39\) −3.34313 + 6.71752i −0.0857212 + 0.172244i
\(40\) 3.55991 + 0.843714i 0.0889977 + 0.0210929i
\(41\) 2.27520 9.59983i 0.0554927 0.234142i −0.938230 0.346012i \(-0.887536\pi\)
0.993723 + 0.111870i \(0.0356839\pi\)
\(42\) −1.42079 22.9554i −0.0338283 0.546558i
\(43\) 2.47852 + 5.74586i 0.0576401 + 0.133625i 0.944602 0.328217i \(-0.106448\pi\)
−0.886962 + 0.461842i \(0.847189\pi\)
\(44\) −5.02115 13.7955i −0.114117 0.313534i
\(45\) −7.54759 8.86313i −0.167724 0.196958i
\(46\) 57.8935 + 21.0715i 1.25855 + 0.458076i
\(47\) 64.0157 3.72849i 1.36204 0.0793296i 0.638504 0.769619i \(-0.279554\pi\)
0.723534 + 0.690289i \(0.242517\pi\)
\(48\) 11.8100 2.12674i 0.246042 0.0443072i
\(49\) −7.76823 + 18.0088i −0.158535 + 0.367526i
\(50\) −32.9334 1.91815i −0.658668 0.0383630i
\(51\) 23.4377 + 31.2445i 0.459563 + 0.612636i
\(52\) −3.43278 3.63853i −0.0660150 0.0699718i
\(53\) 31.0537 + 17.9289i 0.585919 + 0.338280i 0.763482 0.645829i \(-0.223488\pi\)
−0.177563 + 0.984109i \(0.556821\pi\)
\(54\) −34.3072 16.7635i −0.635319 0.310436i
\(55\) −4.74737 8.22268i −0.0863157 0.149503i
\(56\) 14.6888 + 4.39752i 0.262299 + 0.0785272i
\(57\) 1.54529 2.36821i 0.0271103 0.0415476i
\(58\) 17.1667 + 11.2907i 0.295977 + 0.194667i
\(59\) −12.6486 108.216i −0.214383 1.83417i −0.488613 0.872501i \(-0.662497\pi\)
0.274229 0.961664i \(-0.411577\pi\)
\(60\) 7.28316 2.68089i 0.121386 0.0446815i
\(61\) 55.2475 + 27.7463i 0.905696 + 0.454858i 0.839755 0.542966i \(-0.182699\pi\)
0.0659416 + 0.997823i \(0.478995\pi\)
\(62\) −12.4592 + 2.19689i −0.200954 + 0.0354337i
\(63\) −29.4186 38.9218i −0.466963 0.617807i
\(64\) −1.38919 + 7.87846i −0.0217060 + 0.123101i
\(65\) −2.59502 1.93192i −0.0399234 0.0297219i
\(66\) −25.0478 18.5062i −0.379513 0.280397i
\(67\) 8.81515 9.34351i 0.131569 0.139455i −0.658239 0.752809i \(-0.728698\pi\)
0.789808 + 0.613354i \(0.210180\pi\)
\(68\) −24.9449 + 7.46801i −0.366837 + 0.109824i
\(69\) 127.059 30.6020i 1.84144 0.443508i
\(70\) 9.84938 + 1.15123i 0.140705 + 0.0164461i
\(71\) 9.13600 10.8879i 0.128676 0.153350i −0.697859 0.716235i \(-0.745864\pi\)
0.826536 + 0.562885i \(0.190308\pi\)
\(72\) 18.3884 17.6031i 0.255394 0.244487i
\(73\) 31.7996 26.6831i 0.435612 0.365521i −0.398453 0.917189i \(-0.630453\pi\)
0.834064 + 0.551667i \(0.186008\pi\)
\(74\) 15.0864 + 22.9378i 0.203870 + 0.309970i
\(75\) −60.4774 + 35.2105i −0.806365 + 0.469474i
\(76\) 1.12576 + 1.51215i 0.0148126 + 0.0198968i
\(77\) −17.8588 35.5598i −0.231933 0.461816i
\(78\) −10.3343 2.40960i −0.132490 0.0308923i
\(79\) −76.6120 + 18.1574i −0.969773 + 0.229840i −0.684829 0.728704i \(-0.740123\pi\)
−0.284944 + 0.958544i \(0.591975\pi\)
\(80\) 5.17394i 0.0646742i
\(81\) −80.3070 + 10.5729i −0.991444 + 0.130529i
\(82\) 13.9523 0.170150
\(83\) −0.889177 3.75173i −0.0107130 0.0452016i 0.967426 0.253154i \(-0.0814681\pi\)
−0.978139 + 0.207953i \(0.933320\pi\)
\(84\) 31.1254 9.44182i 0.370541 0.112403i
\(85\) −15.0491 + 7.55795i −0.177048 + 0.0889171i
\(86\) −7.09850 + 5.28464i −0.0825407 + 0.0614493i
\(87\) 43.5862 0.158519i 0.500991 0.00182206i
\(88\) 17.3463 11.4088i 0.197117 0.129646i
\(89\) 7.81943 + 9.31884i 0.0878588 + 0.104706i 0.808183 0.588932i \(-0.200451\pi\)
−0.720324 + 0.693638i \(0.756007\pi\)
\(90\) 9.73493 13.2768i 0.108166 0.147520i
\(91\) −10.3866 8.71536i −0.114138 0.0957732i
\(92\) −10.1150 + 86.5391i −0.109945 + 0.940642i
\(93\) −19.4539 + 18.4880i −0.209181 + 0.198795i
\(94\) 26.0089 + 86.8756i 0.276690 + 0.924209i
\(95\) 0.886836 + 0.836687i 0.00933512 + 0.00880723i
\(96\) 6.77832 + 15.5581i 0.0706075 + 0.162063i
\(97\) −25.5306 + 34.2936i −0.263202 + 0.353542i −0.914004 0.405706i \(-0.867026\pi\)
0.650801 + 0.759248i \(0.274433\pi\)
\(98\) −27.3153 4.81642i −0.278727 0.0491472i
\(99\) −65.9783 3.36145i −0.666448 0.0339541i
\(100\) −8.10135 45.9450i −0.0810135 0.459450i
\(101\) −26.4370 + 52.6404i −0.261752 + 0.521192i −0.985668 0.168697i \(-0.946044\pi\)
0.723916 + 0.689889i \(0.242340\pi\)
\(102\) −35.3513 + 42.4426i −0.346581 + 0.416104i
\(103\) −175.813 + 20.5496i −1.70693 + 0.199511i −0.912847 0.408303i \(-0.866121\pi\)
−0.794080 + 0.607814i \(0.792047\pi\)
\(104\) 3.88739 5.91050i 0.0373788 0.0568317i
\(105\) 18.7639 9.50921i 0.178704 0.0905639i
\(106\) −14.5439 + 48.5801i −0.137207 + 0.458303i
\(107\) −176.329 + 101.804i −1.64794 + 0.951436i −0.670044 + 0.742321i \(0.733725\pi\)
−0.977891 + 0.209115i \(0.932942\pi\)
\(108\) 11.8792 52.6772i 0.109993 0.487752i
\(109\) 78.8570 136.584i 0.723459 1.25307i −0.236146 0.971718i \(-0.575884\pi\)
0.959605 0.281350i \(-0.0907823\pi\)
\(110\) 9.76687 9.21456i 0.0887897 0.0837687i
\(111\) 53.5599 + 22.8728i 0.482522 + 0.206062i
\(112\) −1.26081 + 21.6473i −0.0112572 + 0.193280i
\(113\) −68.1553 29.3993i −0.603144 0.260171i 0.0725362 0.997366i \(-0.476891\pi\)
−0.675680 + 0.737195i \(0.736150\pi\)
\(114\) 3.76286 + 1.35409i 0.0330076 + 0.0118780i
\(115\) 3.27643 + 56.2542i 0.0284907 + 0.489167i
\(116\) −9.93831 + 27.3053i −0.0856751 + 0.235390i
\(117\) −21.0962 + 7.85263i −0.180309 + 0.0671165i
\(118\) 144.790 52.6992i 1.22703 0.446603i
\(119\) −64.8060 + 27.9546i −0.544588 + 0.234912i
\(120\) 6.06449 + 9.14796i 0.0505374 + 0.0762330i
\(121\) 65.3089 + 15.4785i 0.539743 + 0.127921i
\(122\) −20.1631 + 85.0749i −0.165271 + 0.697335i
\(123\) 24.6689 16.3538i 0.200560 0.132958i
\(124\) −7.08656 16.4285i −0.0571497 0.132488i
\(125\) −21.3797 58.7403i −0.171038 0.469922i
\(126\) 43.9655 53.1768i 0.348932 0.422038i
\(127\) −209.023 76.0783i −1.64585 0.599042i −0.657806 0.753187i \(-0.728515\pi\)
−0.988048 + 0.154146i \(0.950738\pi\)
\(128\) −11.2946 + 0.657834i −0.0882388 + 0.00513933i
\(129\) −6.35651 + 17.6640i −0.0492753 + 0.136930i
\(130\) 1.81216 4.20107i 0.0139397 0.0323159i
\(131\) 25.8415 + 1.50509i 0.197263 + 0.0114893i 0.156492 0.987679i \(-0.449981\pi\)
0.0407712 + 0.999169i \(0.487019\pi\)
\(132\) 17.2972 40.5038i 0.131039 0.306847i
\(133\) 3.50656 + 3.71673i 0.0263651 + 0.0279454i
\(134\) 15.7325 + 9.08317i 0.117407 + 0.0677848i
\(135\) 1.65014 34.8851i 0.0122233 0.258408i
\(136\) −18.4122 31.8909i −0.135384 0.234492i
\(137\) 151.265 + 45.2857i 1.10412 + 0.330553i 0.786454 0.617649i \(-0.211915\pi\)
0.317669 + 0.948202i \(0.397100\pi\)
\(138\) 83.5503 + 164.865i 0.605437 + 1.19467i
\(139\) −179.042 117.758i −1.28807 0.847178i −0.293990 0.955809i \(-0.594983\pi\)
−0.994082 + 0.108630i \(0.965354\pi\)
\(140\) 1.62808 + 13.9291i 0.0116292 + 0.0994937i
\(141\) 147.815 + 123.118i 1.04833 + 0.873177i
\(142\) 17.9623 + 9.02102i 0.126495 + 0.0635283i
\(143\) −18.0806 + 3.18809i −0.126437 + 0.0222943i
\(144\) 30.2207 + 19.5630i 0.209866 + 0.135854i
\(145\) −3.26334 + 18.5073i −0.0225058 + 0.127637i
\(146\) 47.0895 + 35.0569i 0.322531 + 0.240115i
\(147\) −53.9412 + 23.5010i −0.366947 + 0.159871i
\(148\) −26.6442 + 28.2412i −0.180029 + 0.190819i
\(149\) 204.513 61.2272i 1.37257 0.410921i 0.486181 0.873858i \(-0.338390\pi\)
0.886391 + 0.462937i \(0.153204\pi\)
\(150\) −68.1771 71.7390i −0.454514 0.478260i
\(151\) 155.518 + 18.1774i 1.02992 + 0.120380i 0.614231 0.789126i \(-0.289466\pi\)
0.415689 + 0.909507i \(0.363540\pi\)
\(152\) −1.71371 + 2.04232i −0.0112744 + 0.0134363i
\(153\) −12.7563 + 116.478i −0.0833742 + 0.761295i
\(154\) 43.1092 36.1729i 0.279930 0.234889i
\(155\) −6.35856 9.66772i −0.0410230 0.0623724i
\(156\) −0.0545782 15.0068i −0.000349860 0.0961972i
\(157\) −140.081 188.162i −0.892237 1.19848i −0.979327 0.202282i \(-0.935164\pi\)
0.0870898 0.996200i \(-0.472243\pi\)
\(158\) −49.9725 99.5034i −0.316282 0.629769i
\(159\) 31.2269 + 102.941i 0.196396 + 0.647428i
\(160\) −7.11982 + 1.68743i −0.0444989 + 0.0105464i
\(161\) 236.161i 1.46684i
\(162\) −40.7406 107.062i −0.251485 0.660875i
\(163\) −163.051 −1.00031 −0.500156 0.865935i \(-0.666724\pi\)
−0.500156 + 0.865935i \(0.666724\pi\)
\(164\) 4.55040 + 19.1997i 0.0277464 + 0.117071i
\(165\) 6.46806 27.7401i 0.0392004 0.168122i
\(166\) 4.87274 2.44718i 0.0293538 0.0147420i
\(167\) 77.8235 57.9374i 0.466009 0.346931i −0.338405 0.941001i \(-0.609887\pi\)
0.804413 + 0.594070i \(0.202480\pi\)
\(168\) 23.1441 + 39.7521i 0.137762 + 0.236620i
\(169\) 135.971 89.4294i 0.804561 0.529168i
\(170\) −15.3086 18.2440i −0.0900504 0.107318i
\(171\) 8.24023 2.01639i 0.0481885 0.0117917i
\(172\) −9.58726 8.04466i −0.0557399 0.0467713i
\(173\) −8.91976 + 76.3134i −0.0515593 + 0.441118i 0.942660 + 0.333753i \(0.108315\pi\)
−0.994220 + 0.107365i \(0.965759\pi\)
\(174\) 14.4334 + 59.9270i 0.0829503 + 0.344408i
\(175\) −36.2677 121.143i −0.207244 0.692244i
\(176\) 21.3569 + 20.1492i 0.121346 + 0.114484i
\(177\) 194.231 262.888i 1.09735 1.48524i
\(178\) −10.2734 + 13.7995i −0.0577155 + 0.0775253i
\(179\) −8.00503 1.41150i −0.0447208 0.00788549i 0.151243 0.988497i \(-0.451672\pi\)
−0.195964 + 0.980611i \(0.562784\pi\)
\(180\) 21.4451 + 9.06607i 0.119139 + 0.0503670i
\(181\) 1.46480 + 8.30727i 0.00809279 + 0.0458965i 0.988587 0.150653i \(-0.0481375\pi\)
−0.980494 + 0.196549i \(0.937026\pi\)
\(182\) 8.60568 17.1353i 0.0472839 0.0941501i
\(183\) 64.0681 + 174.053i 0.350099 + 0.951111i
\(184\) −122.385 + 14.3047i −0.665135 + 0.0777431i
\(185\) −13.7985 + 20.9796i −0.0745865 + 0.113403i
\(186\) −31.7859 20.7407i −0.170892 0.111509i
\(187\) −27.4092 + 91.5532i −0.146573 + 0.489589i
\(188\) −111.066 + 64.1242i −0.590779 + 0.341086i
\(189\) 15.4050 145.554i 0.0815080 0.770127i
\(190\) −0.862126 + 1.49325i −0.00453751 + 0.00785919i
\(191\) 104.441 98.5347i 0.546810 0.515888i −0.362514 0.931978i \(-0.618081\pi\)
0.909323 + 0.416090i \(0.136600\pi\)
\(192\) −19.1987 + 14.4017i −0.0999933 + 0.0750090i
\(193\) −5.76501 + 98.9815i −0.0298705 + 0.512857i 0.949877 + 0.312623i \(0.101208\pi\)
−0.979748 + 0.200235i \(0.935830\pi\)
\(194\) −55.5178 23.9480i −0.286174 0.123443i
\(195\) −1.72011 9.55193i −0.00882105 0.0489843i
\(196\) −2.28076 39.1592i −0.0116366 0.199792i
\(197\) 4.46552 12.2689i 0.0226676 0.0622788i −0.927843 0.372972i \(-0.878339\pi\)
0.950510 + 0.310693i \(0.100561\pi\)
\(198\) −16.8925 91.8886i −0.0853156 0.464084i
\(199\) 259.167 94.3290i 1.30235 0.474015i 0.404586 0.914500i \(-0.367416\pi\)
0.897760 + 0.440485i \(0.145193\pi\)
\(200\) 60.5825 26.1327i 0.302912 0.130664i
\(201\) 38.4630 2.38061i 0.191358 0.0118438i
\(202\) −81.0602 19.2116i −0.401288 0.0951071i
\(203\) −18.1635 + 76.6378i −0.0894753 + 0.377526i
\(204\) −69.9344 34.8045i −0.342816 0.170610i
\(205\) 5.05446 + 11.7175i 0.0246559 + 0.0571588i
\(206\) −85.6180 235.234i −0.415621 1.14191i
\(207\) 340.966 + 193.564i 1.64718 + 0.935090i
\(208\) 9.40123 + 3.42177i 0.0451982 + 0.0164508i
\(209\) 6.90734 0.402307i 0.0330495 0.00192491i
\(210\) 19.2052 + 22.7196i 0.0914535 + 0.108188i
\(211\) 72.1799 167.332i 0.342085 0.793042i −0.657143 0.753766i \(-0.728235\pi\)
0.999228 0.0392764i \(-0.0125053\pi\)
\(212\) −71.5941 4.16988i −0.337708 0.0196693i
\(213\) 42.3327 5.10411i 0.198745 0.0239630i
\(214\) −197.599 209.443i −0.923361 0.978706i
\(215\) −7.00974 4.04708i −0.0326035 0.0188236i
\(216\) 76.3630 0.833204i 0.353532 0.00385743i
\(217\) −24.2478 41.9984i −0.111741 0.193541i
\(218\) 213.671 + 63.9690i 0.980144 + 0.293436i
\(219\) 124.349 + 6.78884i 0.567805 + 0.0309993i
\(220\) 15.8655 + 10.4349i 0.0721157 + 0.0474313i
\(221\) 3.78038 + 32.3432i 0.0171058 + 0.146349i
\(222\) −14.0071 + 81.1632i −0.0630950 + 0.365600i
\(223\) 189.389 + 95.1145i 0.849276 + 0.426523i 0.819531 0.573035i \(-0.194234\pi\)
0.0297454 + 0.999558i \(0.490530\pi\)
\(224\) −30.1999 + 5.32506i −0.134821 + 0.0237726i
\(225\) −204.630 46.9288i −0.909466 0.208572i
\(226\) 18.2280 103.376i 0.0806550 0.457417i
\(227\) −229.895 171.150i −1.01275 0.753966i −0.0432541 0.999064i \(-0.513772\pi\)
−0.969498 + 0.245098i \(0.921180\pi\)
\(228\) −0.636137 + 5.61968i −0.00279008 + 0.0246477i
\(229\) 192.109 203.623i 0.838902 0.889184i −0.156231 0.987720i \(-0.549935\pi\)
0.995133 + 0.0985362i \(0.0314160\pi\)
\(230\) −76.3424 + 22.8554i −0.331923 + 0.0993714i
\(231\) 33.8217 114.486i 0.146414 0.495611i
\(232\) −40.8159 4.77069i −0.175931 0.0205633i
\(233\) −143.960 + 171.565i −0.617853 + 0.736329i −0.980700 0.195520i \(-0.937360\pi\)
0.362847 + 0.931849i \(0.381805\pi\)
\(234\) −17.6863 26.4693i −0.0755824 0.113117i
\(235\) −63.5385 + 53.3152i −0.270377 + 0.226873i
\(236\) 119.741 + 182.057i 0.507376 + 0.771427i
\(237\) −204.986 117.357i −0.864920 0.495176i
\(238\) −59.6039 80.0620i −0.250437 0.336395i
\(239\) −100.415 199.943i −0.420147 0.836581i −0.999765 0.0216927i \(-0.993094\pi\)
0.579618 0.814888i \(-0.303202\pi\)
\(240\) −10.6106 + 11.3288i −0.0442108 + 0.0472034i
\(241\) −1.64012 + 0.388714i −0.00680546 + 0.00161292i −0.234017 0.972232i \(-0.575187\pi\)
0.227212 + 0.973845i \(0.427039\pi\)
\(242\) 94.9193i 0.392228i
\(243\) −197.522 141.541i −0.812849 0.582474i
\(244\) −123.647 −0.506750
\(245\) −5.85045 24.6850i −0.0238794 0.100755i
\(246\) 30.5499 + 28.6130i 0.124186 + 0.116313i
\(247\) 2.10680 1.05807i 0.00852954 0.00428370i
\(248\) 20.2959 15.1098i 0.0818384 0.0609264i
\(249\) 5.74702 10.0383i 0.0230804 0.0403143i
\(250\) 73.8593 48.5780i 0.295437 0.194312i
\(251\) 192.234 + 229.095i 0.765872 + 0.912730i 0.998204 0.0599061i \(-0.0190801\pi\)
−0.232332 + 0.972636i \(0.574636\pi\)
\(252\) 87.5151 + 43.1575i 0.347282 + 0.171260i
\(253\) 244.965 + 205.550i 0.968242 + 0.812452i
\(254\) 36.5199 312.448i 0.143779 1.23011i
\(255\) −48.4511 14.3135i −0.190004 0.0561314i
\(256\) −4.58885 15.3278i −0.0179252 0.0598743i
\(257\) 190.036 + 179.290i 0.739439 + 0.697625i 0.960700 0.277590i \(-0.0895355\pi\)
−0.221260 + 0.975215i \(0.571017\pi\)
\(258\) −26.3804 2.98622i −0.102250 0.0115745i
\(259\) −62.8442 + 84.4144i −0.242642 + 0.325924i
\(260\) 6.37208 + 1.12357i 0.0245080 + 0.00432142i
\(261\) 95.7612 + 89.0385i 0.366901 + 0.341144i
\(262\) 6.35679 + 36.0511i 0.0242626 + 0.137600i
\(263\) 21.0528 41.9196i 0.0800488 0.159390i −0.850048 0.526706i \(-0.823427\pi\)
0.930096 + 0.367316i \(0.119723\pi\)
\(264\) 61.3783 + 10.5926i 0.232494 + 0.0401236i
\(265\) −46.0678 + 5.38455i −0.173841 + 0.0203191i
\(266\) −3.97094 + 6.03753i −0.0149284 + 0.0226975i
\(267\) −1.98946 + 36.4404i −0.00745115 + 0.136481i
\(268\) −7.36829 + 24.6118i −0.0274936 + 0.0918350i
\(269\) −289.708 + 167.263i −1.07698 + 0.621796i −0.930081 0.367356i \(-0.880263\pi\)
−0.146901 + 0.989151i \(0.546930\pi\)
\(270\) 48.5433 9.10667i 0.179790 0.0337284i
\(271\) −261.408 + 452.772i −0.964605 + 1.67075i −0.253933 + 0.967222i \(0.581724\pi\)
−0.710672 + 0.703523i \(0.751609\pi\)
\(272\) 37.8799 35.7378i 0.139264 0.131389i
\(273\) −4.86911 40.3836i −0.0178356 0.147925i
\(274\) −12.9838 + 222.924i −0.0473863 + 0.813591i
\(275\) −157.226 67.8205i −0.571730 0.246620i
\(276\) −199.620 + 168.742i −0.723261 + 0.611384i
\(277\) 22.6438 + 388.779i 0.0817465 + 1.40353i 0.750904 + 0.660412i \(0.229618\pi\)
−0.669157 + 0.743121i \(0.733345\pi\)
\(278\) 103.653 284.784i 0.372852 1.02440i
\(279\) −80.5107 + 0.585628i −0.288569 + 0.00209902i
\(280\) −18.6368 + 6.78324i −0.0665600 + 0.0242258i
\(281\) −294.210 + 126.910i −1.04701 + 0.451636i −0.848905 0.528545i \(-0.822738\pi\)
−0.198105 + 0.980181i \(0.563479\pi\)
\(282\) −121.214 + 243.561i −0.429835 + 0.863690i
\(283\) 332.732 + 78.8590i 1.17573 + 0.278654i 0.771637 0.636063i \(-0.219438\pi\)
0.404095 + 0.914717i \(0.367586\pi\)
\(284\) −6.55553 + 27.6600i −0.0230829 + 0.0973943i
\(285\) 0.225955 + 3.65071i 0.000792823 + 0.0128095i
\(286\) −10.2839 23.8408i −0.0359577 0.0833593i
\(287\) 18.2920 + 50.2569i 0.0637353 + 0.175111i
\(288\) −17.0644 + 47.9667i −0.0592513 + 0.166551i
\(289\) −112.289 40.8698i −0.388542 0.141418i
\(290\) −26.5321 + 1.54532i −0.0914900 + 0.00532869i
\(291\) −126.230 + 22.7315i −0.433781 + 0.0781150i
\(292\) −32.8837 + 76.2330i −0.112615 + 0.261072i
\(293\) −59.9780 3.49332i −0.204703 0.0119226i −0.0445131 0.999009i \(-0.514174\pi\)
−0.160190 + 0.987086i \(0.551211\pi\)
\(294\) −49.9320 66.5635i −0.169837 0.226407i
\(295\) 96.7108 + 102.507i 0.327833 + 0.347483i
\(296\) −47.5523 27.4543i −0.160650 0.0927511i
\(297\) −137.572 142.667i −0.463206 0.480360i
\(298\) 150.954 + 261.461i 0.506558 + 0.877385i
\(299\) 104.383 + 31.2501i 0.349106 + 0.104515i
\(300\) 76.4843 117.215i 0.254948 0.390717i
\(301\) −28.3419 18.6408i −0.0941593 0.0619295i
\(302\) 25.7068 + 219.936i 0.0851218 + 0.728263i
\(303\) −165.840 + 61.0447i −0.547326 + 0.201468i
\(304\) −3.36933 1.69214i −0.0110833 0.00556626i
\(305\) −78.7528 + 13.8862i −0.258206 + 0.0455287i
\(306\) −164.445 + 20.4344i −0.537403 + 0.0667791i
\(307\) −66.8265 + 378.992i −0.217676 + 1.23450i 0.658526 + 0.752558i \(0.271180\pi\)
−0.876202 + 0.481944i \(0.839931\pi\)
\(308\) 63.8369 + 47.5248i 0.207263 + 0.154301i
\(309\) −427.103 315.558i −1.38221 1.02122i
\(310\) 11.2299 11.9030i 0.0362255 0.0383968i
\(311\) 334.313 100.087i 1.07496 0.321823i 0.300071 0.953917i \(-0.402990\pi\)
0.774891 + 0.632094i \(0.217805\pi\)
\(312\) 20.6329 4.96941i 0.0661311 0.0159276i
\(313\) 514.217 + 60.1033i 1.64287 + 0.192023i 0.886696 0.462352i \(-0.152994\pi\)
0.756169 + 0.654376i \(0.227069\pi\)
\(314\) 213.242 254.132i 0.679115 0.809338i
\(315\) 60.5866 + 17.6593i 0.192339 + 0.0560612i
\(316\) 120.628 101.219i 0.381734 0.320313i
\(317\) −109.089 165.862i −0.344131 0.523225i 0.621407 0.783488i \(-0.286561\pi\)
−0.965538 + 0.260262i \(0.916191\pi\)
\(318\) −131.472 + 76.5444i −0.413434 + 0.240706i
\(319\) 63.6857 + 85.5448i 0.199642 + 0.268165i
\(320\) −4.64412 9.24720i −0.0145129 0.0288975i
\(321\) −594.865 138.703i −1.85316 0.432096i
\(322\) −324.980 + 77.0216i −1.00925 + 0.239197i
\(323\) 12.2720i 0.0379939i
\(324\) 134.040 90.9800i 0.413703 0.280802i
\(325\) −58.3439 −0.179520
\(326\) −53.1775 224.373i −0.163121 0.688262i
\(327\) 452.769 137.346i 1.38461 0.420019i
\(328\) −24.9365 + 12.5236i −0.0760258 + 0.0381816i
\(329\) −278.832 + 207.583i −0.847513 + 0.630950i
\(330\) 40.2825 0.146504i 0.122068 0.000443950i
\(331\) −150.683 + 99.1055i −0.455234 + 0.299412i −0.756340 0.654178i \(-0.773015\pi\)
0.301106 + 0.953591i \(0.402644\pi\)
\(332\) 4.95674 + 5.90722i 0.0149299 + 0.0177928i
\(333\) 70.3675 + 159.922i 0.211314 + 0.480245i
\(334\) 105.109 + 88.1966i 0.314697 + 0.264062i
\(335\) −1.92894 + 16.5032i −0.00575804 + 0.0492631i
\(336\) −47.1544 + 44.8132i −0.140341 + 0.133373i
\(337\) 90.2197 + 301.355i 0.267714 + 0.894227i 0.981107 + 0.193464i \(0.0619721\pi\)
−0.713393 + 0.700764i \(0.752843\pi\)
\(338\) 167.409 + 157.942i 0.495292 + 0.467284i
\(339\) −88.9410 204.144i −0.262363 0.602194i
\(340\) 20.1128 27.0161i 0.0591552 0.0794592i
\(341\) −64.6690 11.4029i −0.189645 0.0334395i
\(342\) 5.46220 + 10.6817i 0.0159714 + 0.0312330i
\(343\) −64.5884 366.299i −0.188304 1.06793i
\(344\) 7.94342 15.8166i 0.0230913 0.0459786i
\(345\) −108.191 + 129.893i −0.313596 + 0.376501i
\(346\) −107.923 + 12.6144i −0.311917 + 0.0364579i
\(347\) 307.096 466.918i 0.885004 1.34558i −0.0528674 0.998602i \(-0.516836\pi\)
0.937872 0.346982i \(-0.112794\pi\)
\(348\) −77.7579 + 39.4062i −0.223442 + 0.113236i
\(349\) 23.2667 77.7161i 0.0666667 0.222682i −0.918164 0.396201i \(-0.870328\pi\)
0.984831 + 0.173518i \(0.0555136\pi\)
\(350\) 154.875 89.4172i 0.442501 0.255478i
\(351\) −62.2961 26.0695i −0.177482 0.0742721i
\(352\) −20.7619 + 35.9606i −0.0589826 + 0.102161i
\(353\) 264.817 249.842i 0.750191 0.707769i −0.212861 0.977082i \(-0.568278\pi\)
0.963053 + 0.269314i \(0.0867968\pi\)
\(354\) 425.105 + 181.541i 1.20086 + 0.512829i
\(355\) −1.06896 + 18.3533i −0.00301115 + 0.0516995i
\(356\) −22.3400 9.63652i −0.0627527 0.0270689i
\(357\) −199.227 71.6934i −0.558060 0.200822i
\(358\) −0.668402 11.4760i −0.00186704 0.0320559i
\(359\) 218.883 601.377i 0.609703 1.67514i −0.121171 0.992632i \(-0.538665\pi\)
0.730874 0.682513i \(-0.239113\pi\)
\(360\) −5.48165 + 32.4672i −0.0152268 + 0.0901867i
\(361\) 338.394 123.165i 0.937380 0.341178i
\(362\) −10.9538 + 4.72503i −0.0302592 + 0.0130526i
\(363\) 111.257 + 167.825i 0.306493 + 0.462329i
\(364\) 26.3864 + 6.25370i 0.0724902 + 0.0171805i
\(365\) −12.3828 + 52.2471i −0.0339255 + 0.143143i
\(366\) −218.618 + 144.929i −0.597318 + 0.395982i
\(367\) −253.572 587.845i −0.690931 1.60176i −0.794591 0.607145i \(-0.792315\pi\)
0.103660 0.994613i \(-0.466944\pi\)
\(368\) −59.5992 163.748i −0.161954 0.444966i
\(369\) 87.5528 + 14.7821i 0.237270 + 0.0400599i
\(370\) −33.3701 12.1457i −0.0901895 0.0328263i
\(371\) −194.056 + 11.3025i −0.523061 + 0.0304649i
\(372\) 18.1745 50.5047i 0.0488561 0.135765i
\(373\) −129.009 + 299.075i −0.345867 + 0.801811i 0.653139 + 0.757238i \(0.273452\pi\)
−0.999006 + 0.0445725i \(0.985807\pi\)
\(374\) −134.925 7.85848i −0.360762 0.0210120i
\(375\) 73.6502 172.462i 0.196401 0.459899i
\(376\) −124.464 131.924i −0.331022 0.350862i
\(377\) 31.4703 + 18.1694i 0.0834755 + 0.0481946i
\(378\) 205.320 26.2722i 0.543175 0.0695033i
\(379\) −82.7123 143.262i −0.218238 0.378000i 0.736031 0.676948i \(-0.236698\pi\)
−0.954269 + 0.298948i \(0.903364\pi\)
\(380\) −2.33602 0.699359i −0.00614742 0.00184042i
\(381\) −301.657 595.241i −0.791751 1.56231i
\(382\) 169.655 + 111.584i 0.444124 + 0.292105i
\(383\) −5.66189 48.4405i −0.0147830 0.126477i 0.983832 0.179096i \(-0.0573172\pi\)
−0.998615 + 0.0526191i \(0.983243\pi\)
\(384\) −26.0796 21.7222i −0.0679156 0.0565683i
\(385\) 45.9961 + 23.1001i 0.119470 + 0.0600003i
\(386\) −138.088 + 24.3486i −0.357741 + 0.0630793i
\(387\) −50.1431 + 25.6412i −0.129569 + 0.0662563i
\(388\) 14.8481 84.2080i 0.0382684 0.217031i
\(389\) −570.048 424.385i −1.46542 1.09096i −0.975707 0.219080i \(-0.929695\pi\)
−0.489712 0.871884i \(-0.662898\pi\)
\(390\) 12.5834 5.48229i 0.0322650 0.0140572i
\(391\) 389.222 412.551i 0.995452 1.05512i
\(392\) 53.1429 15.9099i 0.135569 0.0405866i
\(393\) 53.4957 + 56.2906i 0.136121 + 0.143233i
\(394\) 18.3396 + 2.14359i 0.0465471 + 0.00544057i
\(395\) 65.4625 78.0152i 0.165728 0.197507i
\(396\) 120.938 53.2142i 0.305399 0.134379i
\(397\) −299.005 + 250.895i −0.753160 + 0.631977i −0.936337 0.351103i \(-0.885807\pi\)
0.183176 + 0.983080i \(0.441362\pi\)
\(398\) 214.330 + 325.873i 0.538518 + 0.818777i
\(399\) 0.0557512 + 15.3293i 0.000139727 + 0.0384193i
\(400\) 55.7194 + 74.8442i 0.139299 + 0.187110i
\(401\) 202.776 + 403.761i 0.505677 + 1.00688i 0.991164 + 0.132641i \(0.0423458\pi\)
−0.485487 + 0.874244i \(0.661358\pi\)
\(402\) 15.8203 + 52.1523i 0.0393539 + 0.129732i
\(403\) −21.7718 + 5.16001i −0.0540243 + 0.0128040i
\(404\) 117.812i 0.291614i
\(405\) 75.1546 73.0001i 0.185567 0.180247i
\(406\) −111.385 −0.274346
\(407\) 32.8630 + 138.660i 0.0807444 + 0.340687i
\(408\) 25.0858 107.587i 0.0614847 0.263695i
\(409\) 483.034 242.589i 1.18101 0.593126i 0.253651 0.967296i \(-0.418368\pi\)
0.927360 + 0.374169i \(0.122072\pi\)
\(410\) −14.4760 + 10.7770i −0.0353073 + 0.0262853i
\(411\) 238.338 + 409.367i 0.579897 + 0.996028i
\(412\) 295.780 194.537i 0.717912 0.472178i
\(413\) 379.650 + 452.450i 0.919250 + 1.09552i
\(414\) −155.159 + 532.329i −0.374780 + 1.28582i
\(415\) 3.82044 + 3.20573i 0.00920589 + 0.00772466i
\(416\) −1.64255 + 14.0529i −0.00394845 + 0.0337811i
\(417\) −150.535 625.017i −0.360994 1.49884i
\(418\) 2.80637 + 9.37394i 0.00671381 + 0.0224257i
\(419\) 242.174 + 228.480i 0.577981 + 0.545297i 0.918745 0.394852i \(-0.129204\pi\)
−0.340763 + 0.940149i \(0.610686\pi\)
\(420\) −25.0007 + 33.8380i −0.0595254 + 0.0805665i
\(421\) 281.430 378.026i 0.668480 0.897924i −0.330466 0.943818i \(-0.607206\pi\)
0.998946 + 0.0458934i \(0.0146135\pi\)
\(422\) 253.805 + 44.7527i 0.601434 + 0.106049i
\(423\) 71.1670 + 572.713i 0.168243 + 1.35393i
\(424\) −17.6116 99.8801i −0.0415367 0.235566i
\(425\) −136.301 + 271.398i −0.320709 + 0.638584i
\(426\) 20.8301 + 56.5891i 0.0488970 + 0.132838i
\(427\) −332.879 + 38.9080i −0.779576 + 0.0911193i
\(428\) 223.768 340.223i 0.522823 0.794913i
\(429\) −46.1271 30.0985i −0.107522 0.0701598i
\(430\) 3.28300 10.9660i 0.00763488 0.0255023i
\(431\) 486.905 281.115i 1.12971 0.652238i 0.185848 0.982579i \(-0.440497\pi\)
0.943862 + 0.330341i \(0.107164\pi\)
\(432\) 26.0516 + 104.811i 0.0603046 + 0.242618i
\(433\) −110.676 + 191.696i −0.255602 + 0.442715i −0.965059 0.262033i \(-0.915607\pi\)
0.709457 + 0.704749i \(0.248940\pi\)
\(434\) 49.8855 47.0646i 0.114944 0.108444i
\(435\) −45.0997 + 33.8311i −0.103678 + 0.0777727i
\(436\) −18.3405 + 314.894i −0.0420654 + 0.722235i
\(437\) −37.7050 16.2643i −0.0862814 0.0372182i
\(438\) 31.2132 + 173.330i 0.0712630 + 0.395731i
\(439\) 34.4682 + 591.797i 0.0785153 + 1.34806i 0.775671 + 0.631137i \(0.217411\pi\)
−0.697156 + 0.716919i \(0.745552\pi\)
\(440\) −9.18500 + 25.2356i −0.0208750 + 0.0573536i
\(441\) −166.305 59.1636i −0.377108 0.134158i
\(442\) −43.2744 + 15.7506i −0.0979058 + 0.0356348i
\(443\) −441.386 + 190.395i −0.996356 + 0.429786i −0.830894 0.556430i \(-0.812171\pi\)
−0.165461 + 0.986216i \(0.552911\pi\)
\(444\) −116.256 + 7.19550i −0.261839 + 0.0162061i
\(445\) −15.3109 3.62876i −0.0344066 0.00815451i
\(446\) −69.1193 + 291.637i −0.154976 + 0.653895i
\(447\) 573.364 + 285.348i 1.28269 + 0.638362i
\(448\) −17.1772 39.8212i −0.0383419 0.0888866i
\(449\) −214.484 589.290i −0.477693 1.31245i −0.911447 0.411418i \(-0.865034\pi\)
0.433754 0.901031i \(-0.357189\pi\)
\(450\) −2.15959 296.895i −0.00479908 0.659767i
\(451\) 68.0516 + 24.7687i 0.150890 + 0.0549196i
\(452\) 148.200 8.63169i 0.327877 0.0190967i
\(453\) 303.243 + 358.733i 0.669411 + 0.791906i
\(454\) 160.541 372.176i 0.353614 0.819770i
\(455\) 17.5083 + 1.01974i 0.0384798 + 0.00224119i
\(456\) −7.94067 + 0.957417i −0.0174137 + 0.00209960i
\(457\) −613.045 649.790i −1.34146 1.42186i −0.824517 0.565837i \(-0.808553\pi\)
−0.516938 0.856023i \(-0.672928\pi\)
\(458\) 342.859 + 197.950i 0.748600 + 0.432204i
\(459\) −266.802 + 228.880i −0.581267 + 0.498649i
\(460\) −56.3495 97.6002i −0.122499 0.212174i
\(461\) −109.006 32.6341i −0.236455 0.0707899i 0.166383 0.986061i \(-0.446791\pi\)
−0.402838 + 0.915271i \(0.631976\pi\)
\(462\) 168.574 + 9.20328i 0.364879 + 0.0199205i
\(463\) 442.670 + 291.148i 0.956090 + 0.628830i 0.928715 0.370795i \(-0.120915\pi\)
0.0273752 + 0.999625i \(0.491285\pi\)
\(464\) −6.74678 57.7224i −0.0145405 0.124402i
\(465\) 5.90366 34.2084i 0.0126960 0.0735664i
\(466\) −283.040 142.148i −0.607382 0.305039i
\(467\) 471.128 83.0725i 1.00884 0.177886i 0.355279 0.934760i \(-0.384386\pi\)
0.653560 + 0.756875i \(0.273275\pi\)
\(468\) 30.6560 32.9707i 0.0655043 0.0704501i
\(469\) −12.0921 + 68.5777i −0.0257827 + 0.146221i
\(470\) −94.0891 70.0467i −0.200190 0.149036i
\(471\) 79.1565 699.273i 0.168060 1.48466i
\(472\) −211.475 + 224.150i −0.448040 + 0.474895i
\(473\) −44.0041 + 13.1739i −0.0930318 + 0.0278519i
\(474\) 94.6397 320.355i 0.199662 0.675853i
\(475\) 21.8391 + 2.55263i 0.0459771 + 0.00537395i
\(476\) 90.7335 108.132i 0.190617 0.227168i
\(477\) −142.735 + 289.439i −0.299234 + 0.606789i
\(478\) 242.391 203.390i 0.507093 0.425502i
\(479\) −1.50460 2.28763i −0.00314112 0.00477585i 0.833914 0.551895i \(-0.186095\pi\)
−0.837055 + 0.547119i \(0.815725\pi\)
\(480\) −19.0500 10.9064i −0.0396876 0.0227216i
\(481\) 28.9951 + 38.9472i 0.0602809 + 0.0809712i
\(482\) −1.06981 2.13018i −0.00221953 0.00441945i
\(483\) −484.313 + 517.097i −1.00272 + 1.07059i
\(484\) −130.618 + 30.9570i −0.269871 + 0.0639607i
\(485\) 55.3010i 0.114023i
\(486\) 130.354 317.971i 0.268218 0.654262i
\(487\) −368.698 −0.757081 −0.378540 0.925585i \(-0.623574\pi\)
−0.378540 + 0.925585i \(0.623574\pi\)
\(488\) −40.3262 170.150i −0.0826357 0.348668i
\(489\) −357.015 334.381i −0.730093 0.683805i
\(490\) 32.0608 16.1015i 0.0654302 0.0328603i
\(491\) −727.451 + 541.568i −1.48157 + 1.10299i −0.511761 + 0.859128i \(0.671007\pi\)
−0.969810 + 0.243861i \(0.921586\pi\)
\(492\) −29.4107 + 51.3713i −0.0597778 + 0.104413i
\(493\) 158.038 103.943i 0.320564 0.210838i
\(494\) 2.14312 + 2.55407i 0.00433830 + 0.00517018i
\(495\) 71.0511 47.4750i 0.143538 0.0959091i
\(496\) 27.4118 + 23.0012i 0.0552656 + 0.0463734i
\(497\) −8.94486 + 76.5282i −0.0179977 + 0.153980i
\(498\) 15.6879 + 4.63456i 0.0315019 + 0.00930634i
\(499\) −61.2423 204.564i −0.122730 0.409947i 0.874439 0.485135i \(-0.161230\pi\)
−0.997169 + 0.0751878i \(0.976044\pi\)
\(500\) 90.9364 + 85.7940i 0.181873 + 0.171588i
\(501\) 289.218 + 32.7390i 0.577282 + 0.0653473i
\(502\) −252.561 + 339.249i −0.503110 + 0.675794i
\(503\) 187.418 + 33.0469i 0.372601 + 0.0656997i 0.356813 0.934176i \(-0.383863\pi\)
0.0157880 + 0.999875i \(0.494974\pi\)
\(504\) −30.8466 + 134.504i −0.0612035 + 0.266874i
\(505\) −13.2310 75.0365i −0.0261999 0.148587i
\(506\) −202.963 + 404.133i −0.401113 + 0.798682i
\(507\) 481.121 + 83.0315i 0.948956 + 0.163770i
\(508\) 441.868 51.6470i 0.869819 0.101667i
\(509\) −174.534 + 265.366i −0.342896 + 0.521348i −0.965229 0.261405i \(-0.915814\pi\)
0.622334 + 0.782752i \(0.286185\pi\)
\(510\) 3.89488 71.3415i 0.00763702 0.139885i
\(511\) −64.5404 + 215.580i −0.126302 + 0.421878i
\(512\) 19.5959 11.3137i 0.0382733 0.0220971i
\(513\) 22.1779 + 12.4838i 0.0432318 + 0.0243349i
\(514\) −184.741 + 319.981i −0.359418 + 0.622531i
\(515\) 166.539 157.122i 0.323378 0.305091i
\(516\) −4.49440 37.2759i −0.00871008 0.0722400i
\(517\) −27.3687 + 469.903i −0.0529376 + 0.908904i
\(518\) −136.658 58.9485i −0.263819 0.113800i
\(519\) −176.032 + 148.803i −0.339176 + 0.286711i
\(520\) 0.532054 + 9.13502i 0.00102318 + 0.0175673i
\(521\) 35.6310 97.8954i 0.0683897 0.187899i −0.900789 0.434256i \(-0.857011\pi\)
0.969179 + 0.246357i \(0.0792335\pi\)
\(522\) −91.2937 + 160.815i −0.174892 + 0.308075i
\(523\) −588.970 + 214.367i −1.12614 + 0.409880i −0.836888 0.547374i \(-0.815628\pi\)
−0.289249 + 0.957254i \(0.593405\pi\)
\(524\) −47.5365 + 20.5053i −0.0907186 + 0.0391322i
\(525\) 169.025 339.630i 0.321952 0.646914i
\(526\) 64.5515 + 15.2990i 0.122721 + 0.0290855i
\(527\) −26.8598 + 113.330i −0.0509674 + 0.215048i
\(528\) 5.44148 + 87.9169i 0.0103058 + 0.166509i
\(529\) −542.167 1256.88i −1.02489 2.37596i
\(530\) −22.4342 61.6374i −0.0423287 0.116297i
\(531\) 964.411 177.294i 1.81622 0.333887i
\(532\) −9.60329 3.49531i −0.0180513 0.00657013i
\(533\) 24.6340 1.43476i 0.0462175 0.00269187i
\(534\) −50.7942 + 9.14698i −0.0951202 + 0.0171292i
\(535\) 104.313 241.824i 0.194977 0.452007i
\(536\) −36.2712 2.11256i −0.0676702 0.00394134i
\(537\) −14.6331 19.5071i −0.0272497 0.0363261i
\(538\) −324.655 344.114i −0.603448 0.639617i
\(539\) −124.678 71.9831i −0.231314 0.133549i
\(540\) 28.3635 + 63.8300i 0.0525251 + 0.118204i
\(541\) 64.4137 + 111.568i 0.119064 + 0.206225i 0.919397 0.393331i \(-0.128677\pi\)
−0.800333 + 0.599556i \(0.795344\pi\)
\(542\) −708.312 212.055i −1.30685 0.391245i
\(543\) −13.8290 + 21.1935i −0.0254678 + 0.0390304i
\(544\) 61.5327 + 40.4707i 0.113112 + 0.0743947i
\(545\) 23.6830 + 202.621i 0.0434551 + 0.371782i
\(546\) 53.9836 19.8711i 0.0988711 0.0363939i
\(547\) −643.326 323.090i −1.17610 0.590659i −0.250113 0.968217i \(-0.580468\pi\)
−0.925986 + 0.377558i \(0.876764\pi\)
\(548\) −310.999 + 54.8375i −0.567516 + 0.100068i
\(549\) −216.661 + 512.495i −0.394647 + 0.933507i
\(550\) 42.0498 238.476i 0.0764542 0.433593i
\(551\) −10.9849 8.17797i −0.0199363 0.0148420i
\(552\) −297.309 219.662i −0.538603 0.397939i
\(553\) 292.901 310.457i 0.529658 0.561404i
\(554\) −527.611 + 157.956i −0.952366 + 0.285120i
\(555\) −73.2376 + 17.6392i −0.131960 + 0.0317823i
\(556\) 425.695 + 49.7566i 0.765638 + 0.0894903i
\(557\) −152.233 + 181.424i −0.273309 + 0.325717i −0.885187 0.465235i \(-0.845970\pi\)
0.611878 + 0.790952i \(0.290414\pi\)
\(558\) −27.0637 110.599i −0.0485012 0.198207i
\(559\) −11.9896 + 10.0604i −0.0214482 + 0.0179972i
\(560\) −15.4126 23.4337i −0.0275224 0.0418458i
\(561\) −247.770 + 144.254i −0.441658 + 0.257137i
\(562\) −270.593 363.470i −0.481483 0.646743i
\(563\) −286.091 569.655i −0.508155 1.01182i −0.990715 0.135957i \(-0.956589\pi\)
0.482559 0.875863i \(-0.339707\pi\)
\(564\) −374.695 87.3663i −0.664352 0.154905i
\(565\) 93.4219 22.1414i 0.165348 0.0391883i
\(566\) 483.590i 0.854399i
\(567\) 332.229 287.112i 0.585942 0.506370i
\(568\) −40.2007 −0.0707759
\(569\) −9.06503 38.2484i −0.0159315 0.0672203i 0.964498 0.264088i \(-0.0850711\pi\)
−0.980430 + 0.196868i \(0.936923\pi\)
\(570\) −4.95002 + 1.50158i −0.00868424 + 0.00263434i
\(571\) −507.151 + 254.701i −0.888181 + 0.446061i −0.833549 0.552446i \(-0.813695\pi\)
−0.0546316 + 0.998507i \(0.517398\pi\)
\(572\) 29.4531 21.9270i 0.0514915 0.0383340i
\(573\) 430.755 1.56662i 0.751754 0.00273406i
\(574\) −63.1924 + 41.5623i −0.110091 + 0.0724082i
\(575\) 653.211 + 778.466i 1.13602 + 1.35385i
\(576\) −71.5721 7.83830i −0.124257 0.0136082i
\(577\) 789.057 + 662.098i 1.36752 + 1.14748i 0.973580 + 0.228345i \(0.0733315\pi\)
0.393937 + 0.919138i \(0.371113\pi\)
\(578\) 19.6187 167.849i 0.0339425 0.290396i
\(579\) −215.612 + 204.906i −0.372386 + 0.353897i
\(580\) −10.7797 36.0067i −0.0185857 0.0620804i
\(581\) 15.2032 + 14.3435i 0.0261673 + 0.0246876i
\(582\) −72.4493 166.291i −0.124483 0.285723i
\(583\) −157.179 + 211.128i −0.269603 + 0.362140i
\(584\) −115.628 20.3884i −0.197994 0.0349117i
\(585\) 15.8225 24.4424i 0.0270471 0.0417819i
\(586\) −14.7541 83.6747i −0.0251776 0.142790i
\(587\) −344.039 + 685.037i −0.586097 + 1.16701i 0.383782 + 0.923424i \(0.374622\pi\)
−0.969878 + 0.243590i \(0.921675\pi\)
\(588\) 75.3128 90.4201i 0.128083 0.153776i
\(589\) 8.37531 0.978934i 0.0142195 0.00166203i
\(590\) −109.519 + 166.515i −0.185625 + 0.282229i
\(591\) 34.9385 17.7062i 0.0591175 0.0299597i
\(592\) 22.2710 74.3904i 0.0376200 0.125659i
\(593\) −705.224 + 407.161i −1.18925 + 0.686613i −0.958136 0.286314i \(-0.907570\pi\)
−0.231113 + 0.972927i \(0.574237\pi\)
\(594\) 151.455 235.841i 0.254975 0.397039i
\(595\) 45.6459 79.0609i 0.0767157 0.132876i
\(596\) −310.562 + 293.000i −0.521077 + 0.491611i
\(597\) 760.918 + 324.951i 1.27457 + 0.544306i
\(598\) −8.95971 + 153.832i −0.0149828 + 0.257245i
\(599\) −154.561 66.6709i −0.258031 0.111304i 0.263135 0.964759i \(-0.415244\pi\)
−0.521166 + 0.853455i \(0.674503\pi\)
\(600\) 186.243 + 67.0210i 0.310406 + 0.111702i
\(601\) −1.98819 34.1359i −0.00330814 0.0567986i 0.996250 0.0865206i \(-0.0275748\pi\)
−0.999558 + 0.0297220i \(0.990538\pi\)
\(602\) 16.4080 45.0807i 0.0272559 0.0748848i
\(603\) 89.1005 + 73.6665i 0.147762 + 0.122167i
\(604\) −294.268 + 107.105i −0.487198 + 0.177326i
\(605\) −79.7160 + 34.3861i −0.131762 + 0.0568366i
\(606\) −138.090 208.302i −0.227872 0.343733i
\(607\) 525.024 + 124.433i 0.864949 + 0.204997i 0.639060 0.769156i \(-0.279323\pi\)
0.225888 + 0.974153i \(0.427472\pi\)
\(608\) 1.22967 5.18839i 0.00202249 0.00853354i
\(609\) −196.938 + 130.556i −0.323379 + 0.214378i
\(610\) −44.7932 103.842i −0.0734315 0.170233i
\(611\) 54.8546 + 150.712i 0.0897783 + 0.246664i
\(612\) −81.7518 219.627i −0.133581 0.358868i
\(613\) −753.560 274.274i −1.22930 0.447428i −0.355942 0.934508i \(-0.615840\pi\)
−0.873357 + 0.487080i \(0.838062\pi\)
\(614\) −543.323 + 31.6450i −0.884891 + 0.0515391i
\(615\) −12.9628 + 36.0222i −0.0210778 + 0.0585727i
\(616\) −44.5788 + 103.345i −0.0723682 + 0.167768i
\(617\) 1006.43 + 58.6179i 1.63117 + 0.0950047i 0.849115 0.528208i \(-0.177136\pi\)
0.782052 + 0.623213i \(0.214173\pi\)
\(618\) 294.943 690.649i 0.477253 1.11756i
\(619\) 390.000 + 413.376i 0.630049 + 0.667813i 0.961228 0.275755i \(-0.0889279\pi\)
−0.331179 + 0.943568i \(0.607446\pi\)
\(620\) 20.0422 + 11.5713i 0.0323261 + 0.0186635i
\(621\) 349.621 + 1123.07i 0.562997 + 1.80849i
\(622\) 246.762 + 427.404i 0.396723 + 0.687144i
\(623\) −63.1753 18.9135i −0.101405 0.0303587i
\(624\) 13.5676 + 26.7721i 0.0217429 + 0.0429040i
\(625\) −419.679 276.028i −0.671487 0.441644i
\(626\) 84.9990 + 727.213i 0.135781 + 1.16168i
\(627\) 15.9493 + 13.2845i 0.0254375 + 0.0211874i
\(628\) 419.256 + 210.558i 0.667605 + 0.335284i
\(629\) 248.908 43.8892i 0.395720 0.0697761i
\(630\) −4.54110 + 89.1323i −0.00720809 + 0.141480i
\(631\) 71.9673 408.147i 0.114053 0.646826i −0.873162 0.487430i \(-0.837934\pi\)
0.987215 0.159395i \(-0.0509545\pi\)
\(632\) 178.628 + 132.984i 0.282640 + 0.210417i
\(633\) 501.205 218.364i 0.791793 0.344967i
\(634\) 192.664 204.212i 0.303886 0.322100i
\(635\) 275.633 82.5191i 0.434068 0.129951i
\(636\) −148.211 155.954i −0.233035 0.245210i
\(637\) −48.7227 5.69487i −0.0764878 0.00894014i
\(638\) −96.9471 + 115.537i −0.151955 + 0.181093i
\(639\) 103.159 + 75.6389i 0.161438 + 0.118371i
\(640\) 11.2104 9.40662i 0.0175162 0.0146978i
\(641\) 63.7621 + 96.9455i 0.0994728 + 0.151241i 0.881795 0.471633i \(-0.156335\pi\)
−0.782322 + 0.622874i \(0.785965\pi\)
\(642\) −3.14166 863.827i −0.00489355 1.34552i
\(643\) 126.717 + 170.211i 0.197072 + 0.264713i 0.889664 0.456616i \(-0.150939\pi\)
−0.692592 + 0.721330i \(0.743531\pi\)
\(644\) −211.978 422.082i −0.329158 0.655407i
\(645\) −7.04884 23.2369i −0.0109284 0.0360261i
\(646\) 16.8874 4.00240i 0.0261415 0.00619566i
\(647\) 518.388i 0.801219i −0.916249 0.400609i \(-0.868798\pi\)
0.916249 0.400609i \(-0.131202\pi\)
\(648\) 168.913 + 154.779i 0.260668 + 0.238856i
\(649\) 799.758 1.23229
\(650\) −19.0283 80.2867i −0.0292743 0.123518i
\(651\) 33.0365 141.686i 0.0507473 0.217644i
\(652\) 291.415 146.354i 0.446956 0.224470i
\(653\) −386.369 + 287.641i −0.591683 + 0.440492i −0.850900 0.525327i \(-0.823943\pi\)
0.259217 + 0.965819i \(0.416535\pi\)
\(654\) 336.667 + 578.258i 0.514782 + 0.884186i
\(655\) −27.9739 + 18.3988i −0.0427083 + 0.0280897i
\(656\) −25.3664 30.2305i −0.0386682 0.0460830i
\(657\) 258.352 + 269.877i 0.393230 + 0.410772i
\(658\) −376.591 315.998i −0.572327 0.480240i
\(659\) 19.5434 167.204i 0.0296561 0.253724i −0.970275 0.242004i \(-0.922195\pi\)
0.999931 0.0117201i \(-0.00373071\pi\)
\(660\) 13.3393 + 55.3846i 0.0202111 + 0.0839161i
\(661\) −30.1720 100.782i −0.0456460 0.152468i 0.932128 0.362128i \(-0.117950\pi\)
−0.977774 + 0.209659i \(0.932764\pi\)
\(662\) −185.522 175.031i −0.280245 0.264397i
\(663\) −58.0512 + 78.5712i −0.0875583 + 0.118509i
\(664\) −6.51229 + 8.74752i −0.00980766 + 0.0131740i
\(665\) −6.50903 1.14772i −0.00978802 0.00172589i
\(666\) −197.117 + 148.989i −0.295972 + 0.223707i
\(667\) −109.908 623.320i −0.164780 0.934513i
\(668\) −87.0866 + 173.404i −0.130369 + 0.259586i
\(669\) 219.626 + 596.656i 0.328289 + 0.891862i
\(670\) −23.3390 + 2.72794i −0.0348343 + 0.00407155i
\(671\) −249.373 + 379.154i −0.371644 + 0.565058i
\(672\) −77.0460 50.2735i −0.114652 0.0748118i
\(673\) −240.747 + 804.151i −0.357722 + 1.19487i 0.570013 + 0.821636i \(0.306938\pi\)
−0.927735 + 0.373239i \(0.878247\pi\)
\(674\) −385.268 + 222.434i −0.571614 + 0.330021i
\(675\) −351.816 522.405i −0.521209 0.773933i
\(676\) −162.744 + 281.881i −0.240746 + 0.416984i
\(677\) 240.251 226.665i 0.354876 0.334809i −0.488072 0.872804i \(-0.662300\pi\)
0.842948 + 0.537995i \(0.180818\pi\)
\(678\) 251.914 188.971i 0.371554 0.278718i
\(679\) 13.4760 231.375i 0.0198469 0.340758i
\(680\) 43.7363 + 18.8660i 0.0643181 + 0.0277441i
\(681\) −152.385 846.212i −0.223767 1.24260i
\(682\) −5.39971 92.7094i −0.00791746 0.135938i
\(683\) 396.847 1090.33i 0.581035 1.59638i −0.205380 0.978682i \(-0.565843\pi\)
0.786415 0.617698i \(-0.211935\pi\)
\(684\) −12.9176 + 11.0002i −0.0188853 + 0.0160822i
\(685\) −191.922 + 69.8538i −0.280178 + 0.101976i
\(686\) 482.997 208.344i 0.704077 0.303709i
\(687\) 838.225 51.8806i 1.22012 0.0755176i
\(688\) 24.3558 + 5.77244i 0.0354009 + 0.00839018i
\(689\) −20.6829 + 87.2679i −0.0300187 + 0.126659i
\(690\) −214.030 106.517i −0.310189 0.154372i
\(691\) −378.801 878.160i −0.548193 1.27085i −0.936934 0.349507i \(-0.886349\pi\)
0.388741 0.921347i \(-0.372910\pi\)
\(692\) −52.5568 144.399i −0.0759491 0.208669i
\(693\) 308.841 181.317i 0.445658 0.261641i
\(694\) 742.679 + 270.313i 1.07014 + 0.389500i
\(695\) 276.720 16.1171i 0.398158 0.0231901i
\(696\) −79.5866 94.1501i −0.114349 0.135273i
\(697\) 50.8750 117.941i 0.0729914 0.169213i
\(698\) 114.533 + 6.67077i 0.164087 + 0.00955698i
\(699\) −667.054 + 80.4276i −0.954297 + 0.115061i
\(700\) 173.557 + 183.960i 0.247939 + 0.262800i
\(701\) −125.935 72.7086i −0.179650 0.103721i 0.407478 0.913215i \(-0.366408\pi\)
−0.587128 + 0.809494i \(0.699742\pi\)
\(702\) 15.5568 94.2275i 0.0221607 0.134227i
\(703\) −9.14936 15.8472i −0.0130147 0.0225422i
\(704\) −56.2564 16.8421i −0.0799097 0.0239234i
\(705\) −248.461 13.5647i −0.352427 0.0192407i
\(706\) 430.174 + 282.930i 0.609312 + 0.400751i
\(707\) −37.0719 317.170i −0.0524355 0.448615i
\(708\) −111.174 + 644.192i −0.157026 + 0.909875i
\(709\) −651.404 327.147i −0.918765 0.461421i −0.0744233 0.997227i \(-0.523712\pi\)
−0.844341 + 0.535806i \(0.820008\pi\)
\(710\) −25.6045 + 4.51476i −0.0360627 + 0.00635882i
\(711\) −208.164 677.344i −0.292776 0.952663i
\(712\) 5.97479 33.8847i 0.00839156 0.0475909i
\(713\) 312.603 + 232.724i 0.438433 + 0.326401i
\(714\) 33.6807 297.537i 0.0471719 0.416719i
\(715\) 16.2967 17.2734i 0.0227925 0.0241587i
\(716\) 15.5741 4.66257i 0.0217515 0.00651197i
\(717\) 190.170 643.723i 0.265230 0.897800i
\(718\) 898.937 + 105.071i 1.25200 + 0.146338i
\(719\) −354.890 + 422.941i −0.493588 + 0.588235i −0.954126 0.299405i \(-0.903212\pi\)
0.460538 + 0.887640i \(0.347656\pi\)
\(720\) −46.4657 + 3.04560i −0.0645357 + 0.00423000i
\(721\) 735.075 616.801i 1.01952 0.855480i
\(722\) 279.851 + 425.493i 0.387605 + 0.589325i
\(723\) −4.38835 2.51238i −0.00606964 0.00347494i
\(724\) −10.0746 13.5325i −0.0139151 0.0186913i
\(725\) 152.104 + 302.864i 0.209798 + 0.417743i
\(726\) −194.658 + 207.835i −0.268124 + 0.286274i
\(727\) 368.240 87.2746i 0.506520 0.120048i 0.0305927 0.999532i \(-0.490261\pi\)
0.475928 + 0.879484i \(0.342112\pi\)
\(728\) 38.3498i 0.0526783i
\(729\) −142.224 714.992i −0.195095 0.980784i
\(730\) −75.9354 −0.104021
\(731\) 18.7884 + 79.2746i 0.0257024 + 0.108447i
\(732\) −270.737 253.572i −0.369859 0.346410i
\(733\) −1170.46 + 587.828i −1.59681 + 0.801948i −1.00000 0.000434361i \(-0.999862\pi\)
−0.596810 + 0.802382i \(0.703565\pi\)
\(734\) 726.230 540.658i 0.989414 0.736591i
\(735\) 37.8133 66.0481i 0.0514466 0.0898614i
\(736\) 205.894 135.419i 0.279748 0.183993i
\(737\) 60.6096 + 72.2317i 0.0822383 + 0.0980078i
\(738\) 8.21291 + 125.302i 0.0111286 + 0.169786i
\(739\) −199.148 167.105i −0.269483 0.226123i 0.498024 0.867163i \(-0.334059\pi\)
−0.767508 + 0.641040i \(0.778503\pi\)
\(740\) 5.83033 49.8816i 0.00787882 0.0674076i
\(741\) 6.78290 + 2.00382i 0.00915371 + 0.00270421i
\(742\) −78.8426 263.353i −0.106257 0.354923i
\(743\) −762.210 719.108i −1.02585 0.967844i −0.0263604 0.999653i \(-0.508392\pi\)
−0.999494 + 0.0318088i \(0.989873\pi\)
\(744\) 75.4266 + 8.53815i 0.101380 + 0.0114760i
\(745\) −164.897 + 221.494i −0.221338 + 0.297308i
\(746\) −453.631 79.9873i −0.608084 0.107222i
\(747\) 33.1699 10.1939i 0.0444041 0.0136464i
\(748\) −33.1904 188.232i −0.0443722 0.251647i
\(749\) 495.364 986.351i 0.661367 1.31689i
\(750\) 261.344 + 45.1027i 0.348459 + 0.0601369i
\(751\) 411.074 48.0477i 0.547369 0.0639783i 0.162086 0.986777i \(-0.448178\pi\)
0.385283 + 0.922798i \(0.374104\pi\)
\(752\) 140.947 214.300i 0.187430 0.284974i
\(753\) −48.9091 + 895.854i −0.0649523 + 1.18971i
\(754\) −14.7390 + 49.2318i −0.0195478 + 0.0652941i
\(755\) −175.396 + 101.265i −0.232312 + 0.134125i
\(756\) 103.116 + 273.971i 0.136397 + 0.362396i
\(757\) 1.71841 2.97637i 0.00227002 0.00393180i −0.864888 0.501965i \(-0.832611\pi\)
0.867158 + 0.498033i \(0.165944\pi\)
\(758\) 170.166 160.543i 0.224493 0.211799i
\(759\) 114.837 + 952.440i 0.151300 + 1.25486i
\(760\) 0.200513 3.44267i 0.000263833 0.00452983i
\(761\) 197.037 + 84.9934i 0.258918 + 0.111686i 0.521582 0.853201i \(-0.325342\pi\)
−0.262664 + 0.964887i \(0.584601\pi\)
\(762\) 720.724 609.240i 0.945832 0.799528i
\(763\) 49.7119 + 853.521i 0.0651533 + 1.11864i
\(764\) −98.2186 + 269.853i −0.128558 + 0.353211i
\(765\) −76.7345 130.703i −0.100307 0.170854i
\(766\) 64.8121 23.5897i 0.0846111 0.0307959i
\(767\) 250.219 107.934i 0.326231 0.140722i
\(768\) 21.3862 42.9724i 0.0278466 0.0559537i
\(769\) −161.842 38.3573i −0.210458 0.0498795i 0.124034 0.992278i \(-0.460417\pi\)
−0.334492 + 0.942398i \(0.608565\pi\)
\(770\) −16.7867 + 70.8288i −0.0218009 + 0.0919854i
\(771\) 48.4187 +