Properties

Label 370.2.v.b.289.9
Level $370$
Weight $2$
Character 370.289
Analytic conductor $2.954$
Analytic rank $0$
Dimension $60$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 370 = 2 \cdot 5 \cdot 37 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 370.v (of order \(18\), degree \(6\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(2.95446487479\)
Analytic rank: \(0\)
Dimension: \(60\)
Relative dimension: \(10\) over \(\Q(\zeta_{18})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{18}]$

Embedding invariants

Embedding label 289.9
Character \(\chi\) \(=\) 370.289
Dual form 370.2.v.b.169.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.939693 - 0.342020i) q^{2} +(0.981253 - 2.69597i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.64845 + 1.51083i) q^{5} -2.86899i q^{6} +(-2.07208 + 0.365363i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.00726 - 3.36249i) q^{9} +O(q^{10})\) \(q+(0.939693 - 0.342020i) q^{2} +(0.981253 - 2.69597i) q^{3} +(0.766044 - 0.642788i) q^{4} +(1.64845 + 1.51083i) q^{5} -2.86899i q^{6} +(-2.07208 + 0.365363i) q^{7} +(0.500000 - 0.866025i) q^{8} +(-4.00726 - 3.36249i) q^{9} +(2.06577 + 0.855912i) q^{10} +(2.94218 - 5.09600i) q^{11} +(-0.981253 - 2.69597i) q^{12} +(-4.66178 + 3.91170i) q^{13} +(-1.82215 + 1.05202i) q^{14} +(5.69070 - 2.96167i) q^{15} +(0.173648 - 0.984808i) q^{16} +(5.11703 + 4.29370i) q^{17} +(-4.91563 - 1.78914i) q^{18} +(-0.963675 + 2.64768i) q^{19} +(2.23393 + 0.0977587i) q^{20} +(-1.04822 + 5.94477i) q^{21} +(1.02181 - 5.79496i) q^{22} +(-1.71373 - 2.96826i) q^{23} +(-1.84415 - 2.19777i) q^{24} +(0.434785 + 4.98106i) q^{25} +(-3.04276 + 5.27021i) q^{26} +(-5.54345 + 3.20051i) q^{27} +(-1.35245 + 1.61179i) q^{28} +(2.14109 + 1.23616i) q^{29} +(4.33456 - 4.72939i) q^{30} +2.15465i q^{31} +(-0.173648 - 0.984808i) q^{32} +(-10.8516 - 12.9325i) q^{33} +(6.27696 + 2.28463i) q^{34} +(-3.96772 - 2.52827i) q^{35} -5.23111 q^{36} +(-2.51354 - 5.53914i) q^{37} +2.81760i q^{38} +(5.97143 + 16.4064i) q^{39} +(2.13264 - 0.672186i) q^{40} +(-1.23890 + 1.03956i) q^{41} +(1.04822 + 5.94477i) q^{42} +1.64162 q^{43} +(-1.02181 - 5.79496i) q^{44} +(-1.52562 - 11.5972i) q^{45} +(-2.62558 - 2.20313i) q^{46} +(-8.65471 + 4.99680i) q^{47} +(-2.48462 - 1.43450i) q^{48} +(-2.41783 + 0.880019i) q^{49} +(2.11219 + 4.53196i) q^{50} +(16.5968 - 9.58215i) q^{51} +(-1.05674 + 5.99307i) q^{52} +(9.41304 + 1.65977i) q^{53} +(-4.11450 + 4.90347i) q^{54} +(12.5492 - 3.95538i) q^{55} +(-0.719625 + 1.97715i) q^{56} +(6.19244 + 5.19608i) q^{57} +(2.43476 + 0.429314i) q^{58} +(-6.20265 - 1.09369i) q^{59} +(2.45560 - 5.92668i) q^{60} +(5.62259 + 6.70074i) q^{61} +(0.736935 + 2.02471i) q^{62} +(9.53188 + 5.50324i) q^{63} +(-0.500000 - 0.866025i) q^{64} +(-13.5946 - 0.594912i) q^{65} +(-14.6204 - 8.44108i) q^{66} +(3.57966 - 0.631191i) q^{67} +6.67980 q^{68} +(-9.68395 + 1.70754i) q^{69} +(-4.59316 - 1.01876i) q^{70} +(7.82307 + 2.84737i) q^{71} +(-4.91563 + 1.78914i) q^{72} +0.888551i q^{73} +(-4.25646 - 4.34541i) q^{74} +(13.8554 + 3.71551i) q^{75} +(0.963675 + 2.64768i) q^{76} +(-4.23453 + 11.6343i) q^{77} +(11.2226 + 13.3746i) q^{78} +(3.75772 - 0.662587i) q^{79} +(1.77413 - 1.36106i) q^{80} +(0.463840 + 2.63057i) q^{81} +(-0.808632 + 1.40059i) q^{82} +(-0.0733685 + 0.0874372i) q^{83} +(3.01824 + 5.22774i) q^{84} +(1.94813 + 14.8089i) q^{85} +(1.54261 - 0.561466i) q^{86} +(5.43360 - 4.55933i) q^{87} +(-2.94218 - 5.09600i) q^{88} +(0.148951 + 0.0262641i) q^{89} +(-5.40009 - 10.3760i) q^{90} +(8.23038 - 9.80858i) q^{91} +(-3.22076 - 1.17226i) q^{92} +(5.80888 + 2.11426i) q^{93} +(-6.42376 + 7.65554i) q^{94} +(-5.58876 + 2.90862i) q^{95} +(-2.82540 - 0.498195i) q^{96} +(-9.05452 - 15.6829i) q^{97} +(-1.97103 + 1.65389i) q^{98} +(-28.9253 + 10.5280i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 60 q + 6 q^{5} + 30 q^{8} - 6 q^{9} - 9 q^{10} + 6 q^{11} + 3 q^{13} + 9 q^{14} - 6 q^{15} - 3 q^{17} - 12 q^{18} + 3 q^{19} + 3 q^{20} + 12 q^{21} + 3 q^{22} + 18 q^{23} - 18 q^{25} - 27 q^{26} + 18 q^{30} + 66 q^{33} + 21 q^{34} + 9 q^{35} - 72 q^{36} - 6 q^{37} + 12 q^{39} + 12 q^{40} - 57 q^{41} - 12 q^{42} - 60 q^{43} - 3 q^{44} + 9 q^{45} - 21 q^{46} + 18 q^{47} - 6 q^{49} + 6 q^{50} + 3 q^{52} + 6 q^{53} + 3 q^{55} - 30 q^{57} - 15 q^{58} - 12 q^{59} - 9 q^{60} + 42 q^{61} + 12 q^{62} + 9 q^{63} - 30 q^{64} - 15 q^{65} + 18 q^{67} + 24 q^{68} + 36 q^{69} - 12 q^{70} + 18 q^{71} - 12 q^{72} + 3 q^{74} - 78 q^{75} - 3 q^{76} - 21 q^{77} - 6 q^{78} - 24 q^{79} - 36 q^{81} - 27 q^{82} - 30 q^{83} + 12 q^{84} - 30 q^{85} - 18 q^{86} + 30 q^{87} - 6 q^{88} + 3 q^{89} + 57 q^{91} - 15 q^{92} - 60 q^{93} + 3 q^{94} + 6 q^{95} - 84 q^{97} + 6 q^{98} - 45 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).

\(n\) \(261\) \(297\)
\(\chi(n)\) \(e\left(\frac{7}{18}\right)\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.939693 0.342020i 0.664463 0.241845i
\(3\) 0.981253 2.69597i 0.566526 1.55652i −0.243363 0.969935i \(-0.578251\pi\)
0.809889 0.586583i \(-0.199527\pi\)
\(4\) 0.766044 0.642788i 0.383022 0.321394i
\(5\) 1.64845 + 1.51083i 0.737210 + 0.675664i
\(6\) 2.86899i 1.17126i
\(7\) −2.07208 + 0.365363i −0.783172 + 0.138094i −0.550916 0.834560i \(-0.685722\pi\)
−0.232255 + 0.972655i \(0.574611\pi\)
\(8\) 0.500000 0.866025i 0.176777 0.306186i
\(9\) −4.00726 3.36249i −1.33575 1.12083i
\(10\) 2.06577 + 0.855912i 0.653254 + 0.270663i
\(11\) 2.94218 5.09600i 0.887100 1.53650i 0.0438115 0.999040i \(-0.486050\pi\)
0.843288 0.537462i \(-0.180617\pi\)
\(12\) −0.981253 2.69597i −0.283263 0.778259i
\(13\) −4.66178 + 3.91170i −1.29294 + 1.08491i −0.301626 + 0.953426i \(0.597529\pi\)
−0.991318 + 0.131483i \(0.958026\pi\)
\(14\) −1.82215 + 1.05202i −0.486991 + 0.281165i
\(15\) 5.69070 2.96167i 1.46933 0.764700i
\(16\) 0.173648 0.984808i 0.0434120 0.246202i
\(17\) 5.11703 + 4.29370i 1.24106 + 1.04137i 0.997440 + 0.0715036i \(0.0227797\pi\)
0.243621 + 0.969871i \(0.421665\pi\)
\(18\) −4.91563 1.78914i −1.15863 0.421705i
\(19\) −0.963675 + 2.64768i −0.221082 + 0.607418i −0.999801 0.0199549i \(-0.993648\pi\)
0.778719 + 0.627373i \(0.215870\pi\)
\(20\) 2.23393 + 0.0977587i 0.499522 + 0.0218595i
\(21\) −1.04822 + 5.94477i −0.228741 + 1.29726i
\(22\) 1.02181 5.79496i 0.217850 1.23549i
\(23\) −1.71373 2.96826i −0.357337 0.618926i 0.630178 0.776451i \(-0.282982\pi\)
−0.987515 + 0.157525i \(0.949649\pi\)
\(24\) −1.84415 2.19777i −0.376436 0.448619i
\(25\) 0.434785 + 4.98106i 0.0869570 + 0.996212i
\(26\) −3.04276 + 5.27021i −0.596734 + 1.03357i
\(27\) −5.54345 + 3.20051i −1.06684 + 0.615939i
\(28\) −1.35245 + 1.61179i −0.255590 + 0.304600i
\(29\) 2.14109 + 1.23616i 0.397591 + 0.229549i 0.685444 0.728125i \(-0.259608\pi\)
−0.287853 + 0.957675i \(0.592941\pi\)
\(30\) 4.33456 4.72939i 0.791378 0.863465i
\(31\) 2.15465i 0.386987i 0.981102 + 0.193494i \(0.0619818\pi\)
−0.981102 + 0.193494i \(0.938018\pi\)
\(32\) −0.173648 0.984808i −0.0306970 0.174091i
\(33\) −10.8516 12.9325i −1.88903 2.25126i
\(34\) 6.27696 + 2.28463i 1.07649 + 0.391810i
\(35\) −3.96772 2.52827i −0.670667 0.427356i
\(36\) −5.23111 −0.871851
\(37\) −2.51354 5.53914i −0.413224 0.910629i
\(38\) 2.81760i 0.457075i
\(39\) 5.97143 + 16.4064i 0.956194 + 2.62712i
\(40\) 2.13264 0.672186i 0.337200 0.106282i
\(41\) −1.23890 + 1.03956i −0.193483 + 0.162352i −0.734383 0.678735i \(-0.762528\pi\)
0.540900 + 0.841087i \(0.318084\pi\)
\(42\) 1.04822 + 5.94477i 0.161744 + 0.917298i
\(43\) 1.64162 0.250344 0.125172 0.992135i \(-0.460052\pi\)
0.125172 + 0.992135i \(0.460052\pi\)
\(44\) −1.02181 5.79496i −0.154043 0.873623i
\(45\) −1.52562 11.5972i −0.227426 1.72881i
\(46\) −2.62558 2.20313i −0.387121 0.324833i
\(47\) −8.65471 + 4.99680i −1.26242 + 0.728858i −0.973542 0.228508i \(-0.926615\pi\)
−0.288877 + 0.957366i \(0.593282\pi\)
\(48\) −2.48462 1.43450i −0.358624 0.207052i
\(49\) −2.41783 + 0.880019i −0.345405 + 0.125717i
\(50\) 2.11219 + 4.53196i 0.298708 + 0.640916i
\(51\) 16.5968 9.58215i 2.32401 1.34177i
\(52\) −1.05674 + 5.99307i −0.146543 + 0.831089i
\(53\) 9.41304 + 1.65977i 1.29298 + 0.227987i 0.777483 0.628904i \(-0.216496\pi\)
0.515497 + 0.856891i \(0.327607\pi\)
\(54\) −4.11450 + 4.90347i −0.559912 + 0.667277i
\(55\) 12.5492 3.95538i 1.69214 0.533343i
\(56\) −0.719625 + 1.97715i −0.0961639 + 0.264208i
\(57\) 6.19244 + 5.19608i 0.820209 + 0.688237i
\(58\) 2.43476 + 0.429314i 0.319700 + 0.0563717i
\(59\) −6.20265 1.09369i −0.807517 0.142387i −0.245375 0.969428i \(-0.578911\pi\)
−0.562141 + 0.827041i \(0.690022\pi\)
\(60\) 2.45560 5.92668i 0.317017 0.765131i
\(61\) 5.62259 + 6.70074i 0.719898 + 0.857942i 0.994621 0.103582i \(-0.0330304\pi\)
−0.274722 + 0.961524i \(0.588586\pi\)
\(62\) 0.736935 + 2.02471i 0.0935908 + 0.257139i
\(63\) 9.53188 + 5.50324i 1.20090 + 0.693343i
\(64\) −0.500000 0.866025i −0.0625000 0.108253i
\(65\) −13.5946 0.594912i −1.68621 0.0737898i
\(66\) −14.6204 8.44108i −1.79964 1.03902i
\(67\) 3.57966 0.631191i 0.437325 0.0771123i 0.0493491 0.998782i \(-0.484285\pi\)
0.387976 + 0.921669i \(0.373174\pi\)
\(68\) 6.67980 0.810045
\(69\) −9.68395 + 1.70754i −1.16581 + 0.205564i
\(70\) −4.59316 1.01876i −0.548988 0.121765i
\(71\) 7.82307 + 2.84737i 0.928428 + 0.337920i 0.761586 0.648064i \(-0.224421\pi\)
0.166842 + 0.985984i \(0.446643\pi\)
\(72\) −4.91563 + 1.78914i −0.579313 + 0.210853i
\(73\) 0.888551i 0.103997i 0.998647 + 0.0519985i \(0.0165591\pi\)
−0.998647 + 0.0519985i \(0.983441\pi\)
\(74\) −4.25646 4.34541i −0.494803 0.505143i
\(75\) 13.8554 + 3.71551i 1.59989 + 0.429030i
\(76\) 0.963675 + 2.64768i 0.110541 + 0.303709i
\(77\) −4.23453 + 11.6343i −0.482569 + 1.32585i
\(78\) 11.2226 + 13.3746i 1.27071 + 1.51437i
\(79\) 3.75772 0.662587i 0.422776 0.0745469i 0.0417875 0.999127i \(-0.486695\pi\)
0.380989 + 0.924580i \(0.375584\pi\)
\(80\) 1.77413 1.36106i 0.198354 0.152171i
\(81\) 0.463840 + 2.63057i 0.0515378 + 0.292286i
\(82\) −0.808632 + 1.40059i −0.0892985 + 0.154670i
\(83\) −0.0733685 + 0.0874372i −0.00805324 + 0.00959748i −0.770056 0.637976i \(-0.779772\pi\)
0.762003 + 0.647574i \(0.224216\pi\)
\(84\) 3.01824 + 5.22774i 0.329317 + 0.570394i
\(85\) 1.94813 + 14.8089i 0.211304 + 1.60625i
\(86\) 1.54261 0.561466i 0.166344 0.0605444i
\(87\) 5.43360 4.55933i 0.582543 0.488812i
\(88\) −2.94218 5.09600i −0.313637 0.543235i
\(89\) 0.148951 + 0.0262641i 0.0157888 + 0.00278399i 0.181537 0.983384i \(-0.441893\pi\)
−0.165748 + 0.986168i \(0.553004\pi\)
\(90\) −5.40009 10.3760i −0.569219 1.09373i
\(91\) 8.23038 9.80858i 0.862778 1.02822i
\(92\) −3.22076 1.17226i −0.335787 0.122216i
\(93\) 5.80888 + 2.11426i 0.602352 + 0.219238i
\(94\) −6.42376 + 7.65554i −0.662560 + 0.789609i
\(95\) −5.58876 + 2.90862i −0.573395 + 0.298418i
\(96\) −2.82540 0.498195i −0.288367 0.0508468i
\(97\) −9.05452 15.6829i −0.919347 1.59236i −0.800409 0.599455i \(-0.795384\pi\)
−0.118939 0.992902i \(-0.537949\pi\)
\(98\) −1.97103 + 1.65389i −0.199105 + 0.167069i
\(99\) −28.9253 + 10.5280i −2.90710 + 1.05810i
\(100\) 3.53483 + 3.53624i 0.353483 + 0.353624i
\(101\) −5.68350 9.84411i −0.565529 0.979525i −0.997000 0.0773985i \(-0.975339\pi\)
0.431471 0.902127i \(-0.357995\pi\)
\(102\) 12.3186 14.6807i 1.21972 1.45361i
\(103\) 1.47062 2.54718i 0.144904 0.250981i −0.784433 0.620213i \(-0.787046\pi\)
0.929337 + 0.369232i \(0.120379\pi\)
\(104\) 1.05674 + 5.99307i 0.103622 + 0.587668i
\(105\) −10.7095 + 8.21598i −1.04514 + 0.801798i
\(106\) 9.41304 1.65977i 0.914275 0.161211i
\(107\) −2.73791 3.26291i −0.264684 0.315438i 0.617291 0.786735i \(-0.288230\pi\)
−0.881974 + 0.471298i \(0.843786\pi\)
\(108\) −2.18928 + 6.01499i −0.210663 + 0.578793i
\(109\) 2.93988 + 8.07726i 0.281590 + 0.773662i 0.997173 + 0.0751345i \(0.0239386\pi\)
−0.715584 + 0.698527i \(0.753839\pi\)
\(110\) 10.4396 8.00893i 0.995376 0.763621i
\(111\) −17.3998 + 1.34114i −1.65151 + 0.127296i
\(112\) 2.10404i 0.198813i
\(113\) 4.06777 1.48055i 0.382664 0.139278i −0.143524 0.989647i \(-0.545843\pi\)
0.526187 + 0.850369i \(0.323621\pi\)
\(114\) 7.59616 + 2.76477i 0.711445 + 0.258945i
\(115\) 1.65955 7.48219i 0.154753 0.697718i
\(116\) 2.43476 0.429314i 0.226062 0.0398608i
\(117\) 31.8340 2.94305
\(118\) −6.20265 + 1.09369i −0.571000 + 0.100683i
\(119\) −12.1716 7.02730i −1.11577 0.644191i
\(120\) 0.280469 6.40912i 0.0256032 0.585070i
\(121\) −11.8128 20.4604i −1.07389 1.86003i
\(122\) 7.57529 + 4.37360i 0.685835 + 0.395967i
\(123\) 1.58694 + 4.36010i 0.143090 + 0.393137i
\(124\) 1.38498 + 1.65056i 0.124375 + 0.148225i
\(125\) −6.80881 + 8.86792i −0.608999 + 0.793171i
\(126\) 10.8393 + 1.91125i 0.965638 + 0.170268i
\(127\) −21.5911 3.80710i −1.91590 0.337825i −0.917674 0.397334i \(-0.869935\pi\)
−0.998228 + 0.0595091i \(0.981046\pi\)
\(128\) −0.766044 0.642788i −0.0677094 0.0568149i
\(129\) 1.61084 4.42574i 0.141826 0.389665i
\(130\) −12.9782 + 4.09060i −1.13827 + 0.358769i
\(131\) −1.94165 + 2.31397i −0.169643 + 0.202173i −0.844167 0.536080i \(-0.819904\pi\)
0.674524 + 0.738253i \(0.264349\pi\)
\(132\) −16.6257 2.93156i −1.44708 0.255159i
\(133\) 1.02945 5.83828i 0.0892643 0.506243i
\(134\) 3.14790 1.81744i 0.271937 0.157003i
\(135\) −13.9735 3.09932i −1.20265 0.266747i
\(136\) 6.27696 2.28463i 0.538245 0.195905i
\(137\) −11.5810 6.68630i −0.989433 0.571249i −0.0843281 0.996438i \(-0.526874\pi\)
−0.905105 + 0.425189i \(0.860208\pi\)
\(138\) −8.51592 + 4.91667i −0.724924 + 0.418535i
\(139\) 3.51922 + 2.95298i 0.298496 + 0.250468i 0.779718 0.626131i \(-0.215362\pi\)
−0.481222 + 0.876599i \(0.659807\pi\)
\(140\) −4.66459 + 0.613632i −0.394230 + 0.0518614i
\(141\) 4.97876 + 28.2360i 0.419287 + 2.37790i
\(142\) 8.32514 0.698630
\(143\) 6.21823 + 35.2653i 0.519994 + 2.94903i
\(144\) −4.00726 + 3.36249i −0.333938 + 0.280208i
\(145\) 1.66186 + 5.27258i 0.138010 + 0.437864i
\(146\) 0.303902 + 0.834965i 0.0251511 + 0.0691022i
\(147\) 7.38192i 0.608851i
\(148\) −5.48598 2.62755i −0.450945 0.215984i
\(149\) 3.29151 0.269651 0.134825 0.990869i \(-0.456953\pi\)
0.134825 + 0.990869i \(0.456953\pi\)
\(150\) 14.2906 1.24739i 1.16682 0.101849i
\(151\) −7.42778 2.70349i −0.604465 0.220007i 0.0216149 0.999766i \(-0.493119\pi\)
−0.626079 + 0.779759i \(0.715341\pi\)
\(152\) 1.81112 + 2.15840i 0.146901 + 0.175070i
\(153\) −6.06775 34.4119i −0.490548 2.78204i
\(154\) 12.3809i 0.997684i
\(155\) −3.25531 + 3.55184i −0.261473 + 0.285291i
\(156\) 15.1202 + 8.72965i 1.21058 + 0.698931i
\(157\) −6.07653 + 7.24172i −0.484960 + 0.577952i −0.951928 0.306322i \(-0.900902\pi\)
0.466969 + 0.884274i \(0.345346\pi\)
\(158\) 3.30448 1.90784i 0.262890 0.151780i
\(159\) 13.7113 23.7486i 1.08737 1.88339i
\(160\) 1.20163 1.88576i 0.0949969 0.149082i
\(161\) 4.63547 + 5.52434i 0.365326 + 0.435379i
\(162\) 1.33558 + 2.31328i 0.104933 + 0.181749i
\(163\) 3.95392 22.4238i 0.309695 1.75637i −0.290844 0.956771i \(-0.593936\pi\)
0.600539 0.799596i \(-0.294953\pi\)
\(164\) −0.280835 + 1.59269i −0.0219295 + 0.124369i
\(165\) 1.65038 37.7135i 0.128482 2.93600i
\(166\) −0.0390386 + 0.107258i −0.00302998 + 0.00832481i
\(167\) 10.3496 + 3.76694i 0.800874 + 0.291494i 0.709849 0.704354i \(-0.248763\pi\)
0.0910254 + 0.995849i \(0.470986\pi\)
\(168\) 4.62421 + 3.88017i 0.356766 + 0.299362i
\(169\) 4.17338 23.6684i 0.321029 1.82065i
\(170\) 6.89559 + 13.2495i 0.528867 + 1.01619i
\(171\) 12.7645 7.36958i 0.976124 0.563566i
\(172\) 1.25755 1.05521i 0.0958873 0.0804590i
\(173\) 3.33858 + 9.17268i 0.253828 + 0.697386i 0.999517 + 0.0310917i \(0.00989838\pi\)
−0.745689 + 0.666294i \(0.767879\pi\)
\(174\) 3.54653 6.14277i 0.268862 0.465682i
\(175\) −2.72081 10.1623i −0.205674 0.768197i
\(176\) −4.50768 3.78239i −0.339779 0.285108i
\(177\) −9.03494 + 15.6490i −0.679107 + 1.17625i
\(178\) 0.148951 0.0262641i 0.0111644 0.00196858i
\(179\) 20.9934i 1.56912i 0.620052 + 0.784561i \(0.287112\pi\)
−0.620052 + 0.784561i \(0.712888\pi\)
\(180\) −8.62322 7.90331i −0.642737 0.589078i
\(181\) −1.39718 + 1.17237i −0.103852 + 0.0871418i −0.693235 0.720712i \(-0.743815\pi\)
0.589383 + 0.807853i \(0.299371\pi\)
\(182\) 4.37929 12.0320i 0.324615 0.891872i
\(183\) 23.5822 8.58320i 1.74324 0.634489i
\(184\) −3.42746 −0.252675
\(185\) 4.22525 12.9285i 0.310646 0.950526i
\(186\) 6.18168 0.453263
\(187\) 36.9359 13.4436i 2.70102 0.983090i
\(188\) −3.41801 + 9.39091i −0.249284 + 0.684903i
\(189\) 10.3171 8.65708i 0.750459 0.629710i
\(190\) −4.25691 + 4.64467i −0.308829 + 0.336960i
\(191\) 1.42419i 0.103051i −0.998672 0.0515254i \(-0.983592\pi\)
0.998672 0.0515254i \(-0.0164083\pi\)
\(192\) −2.82540 + 0.498195i −0.203906 + 0.0359541i
\(193\) −0.335107 + 0.580423i −0.0241216 + 0.0417798i −0.877834 0.478965i \(-0.841012\pi\)
0.853713 + 0.520744i \(0.174346\pi\)
\(194\) −13.8723 11.6403i −0.995975 0.835723i
\(195\) −14.9436 + 36.0669i −1.07014 + 2.58281i
\(196\) −1.28650 + 2.22829i −0.0918930 + 0.159163i
\(197\) −5.72003 15.7157i −0.407535 1.11969i −0.958482 0.285153i \(-0.907955\pi\)
0.550947 0.834540i \(-0.314267\pi\)
\(198\) −23.5801 + 19.7861i −1.67577 + 1.40614i
\(199\) −16.6438 + 9.60931i −1.17985 + 0.681186i −0.955979 0.293434i \(-0.905202\pi\)
−0.223869 + 0.974619i \(0.571869\pi\)
\(200\) 4.53112 + 2.11400i 0.320398 + 0.149482i
\(201\) 1.81088 10.2700i 0.127730 0.724391i
\(202\) −8.70762 7.30656i −0.612666 0.514088i
\(203\) −4.88816 1.77914i −0.343081 0.124871i
\(204\) 6.55457 18.0085i 0.458912 1.26085i
\(205\) −3.61286 0.158102i −0.252333 0.0110423i
\(206\) 0.510740 2.89655i 0.0355849 0.201812i
\(207\) −3.11341 + 17.6570i −0.216397 + 1.22725i
\(208\) 3.04276 + 5.27021i 0.210977 + 0.365424i
\(209\) 10.6573 + 12.7008i 0.737177 + 0.878534i
\(210\) −7.25359 + 11.3834i −0.500546 + 0.785526i
\(211\) −7.19992 + 12.4706i −0.495663 + 0.858513i −0.999987 0.00500081i \(-0.998408\pi\)
0.504325 + 0.863514i \(0.331742\pi\)
\(212\) 8.27769 4.77913i 0.568514 0.328232i
\(213\) 15.3528 18.2968i 1.05196 1.25367i
\(214\) −3.68877 2.12971i −0.252159 0.145584i
\(215\) 2.70612 + 2.48020i 0.184556 + 0.169148i
\(216\) 6.40102i 0.435534i
\(217\) −0.787231 4.46461i −0.0534407 0.303077i
\(218\) 5.52517 + 6.58465i 0.374212 + 0.445968i
\(219\) 2.39551 + 0.871893i 0.161873 + 0.0589171i
\(220\) 7.07079 11.0965i 0.476713 0.748125i
\(221\) −40.6501 −2.73442
\(222\) −15.8917 + 7.21134i −1.06658 + 0.483993i
\(223\) 11.8249i 0.791855i 0.918282 + 0.395927i \(0.129577\pi\)
−0.918282 + 0.395927i \(0.870423\pi\)
\(224\) 0.719625 + 1.97715i 0.0480820 + 0.132104i
\(225\) 15.0065 21.4224i 1.00043 1.42816i
\(226\) 3.31608 2.78252i 0.220582 0.185090i
\(227\) −2.59526 14.7184i −0.172253 0.976896i −0.941267 0.337664i \(-0.890363\pi\)
0.769014 0.639232i \(-0.220748\pi\)
\(228\) 8.08366 0.535353
\(229\) −1.71426 9.72206i −0.113282 0.642452i −0.987587 0.157075i \(-0.949794\pi\)
0.874305 0.485377i \(-0.161318\pi\)
\(230\) −0.999598 7.59856i −0.0659116 0.501034i
\(231\) 27.2105 + 22.8323i 1.79032 + 1.50226i
\(232\) 2.14109 1.23616i 0.140570 0.0811579i
\(233\) 0.625770 + 0.361288i 0.0409955 + 0.0236688i 0.520358 0.853948i \(-0.325799\pi\)
−0.479362 + 0.877617i \(0.659132\pi\)
\(234\) 29.9142 10.8879i 1.95555 0.711762i
\(235\) −21.8162 4.83881i −1.42313 0.315649i
\(236\) −5.45452 + 3.14917i −0.355059 + 0.204993i
\(237\) 1.90096 10.7809i 0.123480 0.700292i
\(238\) −13.8411 2.44055i −0.897184 0.158198i
\(239\) −1.20852 + 1.44026i −0.0781729 + 0.0931629i −0.803713 0.595017i \(-0.797145\pi\)
0.725540 + 0.688180i \(0.241590\pi\)
\(240\) −1.92849 6.11853i −0.124484 0.394950i
\(241\) 6.65101 18.2735i 0.428429 1.17710i −0.518337 0.855177i \(-0.673449\pi\)
0.946766 0.321923i \(-0.104329\pi\)
\(242\) −18.0983 15.1863i −1.16340 0.976209i
\(243\) −11.3642 2.00382i −0.729017 0.128545i
\(244\) 8.61430 + 1.51893i 0.551474 + 0.0972398i
\(245\) −5.31524 2.20226i −0.339578 0.140698i
\(246\) 2.98248 + 3.55438i 0.190156 + 0.226619i
\(247\) −5.86446 16.1125i −0.373147 1.02521i
\(248\) 1.86598 + 1.07733i 0.118490 + 0.0684103i
\(249\) 0.163735 + 0.283597i 0.0103763 + 0.0179722i
\(250\) −3.36518 + 10.6619i −0.212833 + 0.674316i
\(251\) −15.0788 8.70576i −0.951766 0.549502i −0.0581370 0.998309i \(-0.518516\pi\)
−0.893629 + 0.448806i \(0.851849\pi\)
\(252\) 10.8393 1.91125i 0.682809 0.120398i
\(253\) −20.1684 −1.26797
\(254\) −21.5911 + 3.80710i −1.35475 + 0.238878i
\(255\) 41.8360 + 9.27919i 2.61987 + 0.581085i
\(256\) −0.939693 0.342020i −0.0587308 0.0213763i
\(257\) −22.5905 + 8.22227i −1.40916 + 0.512891i −0.930882 0.365319i \(-0.880960\pi\)
−0.478275 + 0.878210i \(0.658738\pi\)
\(258\) 4.70978i 0.293218i
\(259\) 7.23206 + 10.5592i 0.449378 + 0.656115i
\(260\) −10.7965 + 8.28273i −0.669570 + 0.513673i
\(261\) −4.42334 12.1530i −0.273798 0.752253i
\(262\) −1.03313 + 2.83851i −0.0638272 + 0.175364i
\(263\) −8.07831 9.62736i −0.498130 0.593648i 0.457136 0.889397i \(-0.348875\pi\)
−0.955266 + 0.295749i \(0.904431\pi\)
\(264\) −16.6257 + 2.93156i −1.02324 + 0.180425i
\(265\) 13.0093 + 16.9576i 0.799155 + 1.04169i
\(266\) −1.02945 5.83828i −0.0631194 0.357968i
\(267\) 0.216966 0.375796i 0.0132781 0.0229984i
\(268\) 2.33646 2.78448i 0.142722 0.170089i
\(269\) −4.70913 8.15645i −0.287120 0.497307i 0.686001 0.727601i \(-0.259365\pi\)
−0.973121 + 0.230294i \(0.926031\pi\)
\(270\) −14.1909 + 1.86682i −0.863628 + 0.113611i
\(271\) 24.3478 8.86188i 1.47902 0.538321i 0.528490 0.848939i \(-0.322758\pi\)
0.950535 + 0.310618i \(0.100536\pi\)
\(272\) 5.11703 4.29370i 0.310265 0.260344i
\(273\) −18.3676 31.8135i −1.11165 1.92544i
\(274\) −13.1694 2.32213i −0.795595 0.140285i
\(275\) 26.6627 + 12.4395i 1.60782 + 0.750130i
\(276\) −6.32075 + 7.53278i −0.380464 + 0.453420i
\(277\) 13.9706 + 5.08490i 0.839415 + 0.305522i 0.725717 0.687993i \(-0.241508\pi\)
0.113698 + 0.993515i \(0.463730\pi\)
\(278\) 4.31696 + 1.57125i 0.258914 + 0.0942371i
\(279\) 7.24500 8.63425i 0.433747 0.516919i
\(280\) −4.17341 + 2.17201i −0.249409 + 0.129802i
\(281\) −7.42315 1.30890i −0.442828 0.0780826i −0.0522117 0.998636i \(-0.516627\pi\)
−0.390617 + 0.920553i \(0.627738\pi\)
\(282\) 14.3358 + 24.8303i 0.853683 + 1.47862i
\(283\) −0.0966131 + 0.0810680i −0.00574305 + 0.00481899i −0.645655 0.763630i \(-0.723415\pi\)
0.639912 + 0.768449i \(0.278971\pi\)
\(284\) 7.82307 2.84737i 0.464214 0.168960i
\(285\) 2.35755 + 17.9212i 0.139649 + 1.06156i
\(286\) 17.9047 + 31.0118i 1.05873 + 1.83377i
\(287\) 2.18727 2.60669i 0.129111 0.153868i
\(288\) −2.61555 + 4.53027i −0.154123 + 0.266949i
\(289\) 4.79613 + 27.2002i 0.282125 + 1.60001i
\(290\) 3.36496 + 4.38621i 0.197597 + 0.257567i
\(291\) −51.1654 + 9.02183i −2.99937 + 0.528869i
\(292\) 0.571150 + 0.680669i 0.0334240 + 0.0398332i
\(293\) 5.62993 15.4681i 0.328904 0.903657i −0.659486 0.751717i \(-0.729226\pi\)
0.988390 0.151940i \(-0.0485520\pi\)
\(294\) 2.52477 + 6.93674i 0.147247 + 0.404559i
\(295\) −8.57238 11.1741i −0.499104 0.650579i
\(296\) −6.05381 0.592777i −0.351871 0.0344545i
\(297\) 37.6659i 2.18560i
\(298\) 3.09300 1.12576i 0.179173 0.0652136i
\(299\) 19.6000 + 7.13381i 1.13350 + 0.412559i
\(300\) 13.0022 6.05985i 0.750680 0.349865i
\(301\) −3.40155 + 0.599786i −0.196062 + 0.0345711i
\(302\) −7.90448 −0.454852
\(303\) −32.1164 + 5.66298i −1.84504 + 0.325330i
\(304\) 2.44011 + 1.40880i 0.139950 + 0.0808002i
\(305\) −0.855114 + 19.5406i −0.0489637 + 1.11889i
\(306\) −17.4714 30.2613i −0.998772 1.72992i
\(307\) 11.6997 + 6.75480i 0.667735 + 0.385517i 0.795218 0.606324i \(-0.207357\pi\)
−0.127483 + 0.991841i \(0.540690\pi\)
\(308\) 4.23453 + 11.6343i 0.241285 + 0.662924i
\(309\) −5.42408 6.46416i −0.308565 0.367733i
\(310\) −1.84419 + 4.45102i −0.104743 + 0.252801i
\(311\) 6.31037 + 1.11269i 0.357829 + 0.0630948i 0.349673 0.936872i \(-0.386293\pi\)
0.00815580 + 0.999967i \(0.497404\pi\)
\(312\) 17.1940 + 3.03177i 0.973421 + 0.171640i
\(313\) 7.30898 + 6.13296i 0.413128 + 0.346655i 0.825542 0.564341i \(-0.190870\pi\)
−0.412414 + 0.910997i \(0.635314\pi\)
\(314\) −3.23325 + 8.88329i −0.182463 + 0.501313i
\(315\) 7.39840 + 23.4729i 0.416852 + 1.32255i
\(316\) 2.45268 2.92299i 0.137974 0.164431i
\(317\) 25.1746 + 4.43895i 1.41394 + 0.249316i 0.827860 0.560934i \(-0.189558\pi\)
0.586083 + 0.810251i \(0.300669\pi\)
\(318\) 4.76187 27.0059i 0.267033 1.51442i
\(319\) 12.5989 7.27400i 0.705405 0.407266i
\(320\) 0.484191 2.18302i 0.0270671 0.122034i
\(321\) −11.4833 + 4.17957i −0.640935 + 0.233281i
\(322\) 6.24536 + 3.60576i 0.348040 + 0.200941i
\(323\) −16.2995 + 9.41050i −0.906926 + 0.523614i
\(324\) 2.04622 + 1.71698i 0.113679 + 0.0953879i
\(325\) −21.5113 21.5198i −1.19323 1.19371i
\(326\) −3.95392 22.4238i −0.218987 1.24194i
\(327\) 24.6608 1.36375
\(328\) 0.280835 + 1.59269i 0.0155065 + 0.0879419i
\(329\) 16.1076 13.5159i 0.888040 0.745154i
\(330\) −11.3479 36.0036i −0.624684 1.98193i
\(331\) 4.06167 + 11.1594i 0.223250 + 0.613374i 0.999862 0.0166050i \(-0.00528579\pi\)
−0.776612 + 0.629979i \(0.783064\pi\)
\(332\) 0.114141i 0.00626431i
\(333\) −8.55288 + 30.6485i −0.468695 + 1.67953i
\(334\) 11.0138 0.602648
\(335\) 6.85452 + 4.36777i 0.374503 + 0.238637i
\(336\) 5.67243 + 2.06460i 0.309457 + 0.112633i
\(337\) 16.7520 + 19.9643i 0.912541 + 1.08752i 0.995851 + 0.0910003i \(0.0290064\pi\)
−0.0833098 + 0.996524i \(0.526549\pi\)
\(338\) −4.17338 23.6684i −0.227002 1.28739i
\(339\) 12.4194i 0.674528i
\(340\) 11.0113 + 10.0920i 0.597173 + 0.547318i
\(341\) 10.9801 + 6.33937i 0.594606 + 0.343296i
\(342\) 9.47414 11.2908i 0.512303 0.610539i
\(343\) 17.4435 10.0710i 0.941860 0.543783i
\(344\) 0.820808 1.42168i 0.0442550 0.0766519i
\(345\) −18.5433 11.8160i −0.998339 0.636152i
\(346\) 6.27448 + 7.47764i 0.337318 + 0.402000i
\(347\) 0.295251 + 0.511390i 0.0158499 + 0.0274528i 0.873842 0.486211i \(-0.161621\pi\)
−0.857992 + 0.513664i \(0.828288\pi\)
\(348\) 1.23170 6.98530i 0.0660259 0.374452i
\(349\) 1.07927 6.12084i 0.0577719 0.327641i −0.942201 0.335049i \(-0.891247\pi\)
0.999973 + 0.00740828i \(0.00235815\pi\)
\(350\) −6.03243 8.61886i −0.322447 0.460697i
\(351\) 13.3229 36.6043i 0.711123 1.95380i
\(352\) −5.52948 2.01257i −0.294722 0.107270i
\(353\) 22.4588 + 18.8452i 1.19536 + 1.00303i 0.999750 + 0.0223472i \(0.00711392\pi\)
0.195612 + 0.980681i \(0.437331\pi\)
\(354\) −3.13780 + 17.7953i −0.166772 + 0.945812i
\(355\) 8.59407 + 16.5131i 0.456126 + 0.876423i
\(356\) 0.130986 0.0756245i 0.00694222 0.00400809i
\(357\) −30.8888 + 25.9188i −1.63481 + 1.37177i
\(358\) 7.18017 + 19.7274i 0.379484 + 1.04262i
\(359\) 5.49026 9.50942i 0.289765 0.501888i −0.683989 0.729493i \(-0.739756\pi\)
0.973754 + 0.227605i \(0.0730895\pi\)
\(360\) −10.8063 4.47737i −0.569541 0.235978i
\(361\) 8.47333 + 7.10997i 0.445965 + 0.374209i
\(362\) −0.911944 + 1.57953i −0.0479307 + 0.0830185i
\(363\) −66.7519 + 11.7702i −3.50357 + 0.617773i
\(364\) 12.8042i 0.671122i
\(365\) −1.34245 + 1.46473i −0.0702670 + 0.0766676i
\(366\) 19.2244 16.1311i 1.00487 0.843189i
\(367\) 2.54898 7.00326i 0.133056 0.365567i −0.855216 0.518271i \(-0.826576\pi\)
0.988272 + 0.152704i \(0.0487980\pi\)
\(368\) −3.22076 + 1.17226i −0.167894 + 0.0611082i
\(369\) 8.46008 0.440414
\(370\) −0.451391 13.5940i −0.0234667 0.706717i
\(371\) −20.1110 −1.04411
\(372\) 5.80888 2.11426i 0.301176 0.109619i
\(373\) −5.93595 + 16.3089i −0.307352 + 0.844442i 0.685819 + 0.727772i \(0.259444\pi\)
−0.993171 + 0.116670i \(0.962778\pi\)
\(374\) 30.1104 25.2656i 1.55697 1.30645i
\(375\) 17.2265 + 27.0580i 0.889572 + 1.39727i
\(376\) 9.99360i 0.515380i
\(377\) −14.8168 + 2.61260i −0.763103 + 0.134556i
\(378\) 6.73401 11.6637i 0.346360 0.599913i
\(379\) −9.80571 8.22797i −0.503685 0.422642i 0.355215 0.934785i \(-0.384408\pi\)
−0.858901 + 0.512142i \(0.828852\pi\)
\(380\) −2.41162 + 5.82051i −0.123713 + 0.298586i
\(381\) −31.4502 + 54.4733i −1.61124 + 2.79075i
\(382\) −0.487102 1.33830i −0.0249223 0.0684734i
\(383\) 12.2974 10.3188i 0.628369 0.527264i −0.272053 0.962282i \(-0.587703\pi\)
0.900422 + 0.435018i \(0.143258\pi\)
\(384\) −2.48462 + 1.43450i −0.126793 + 0.0732038i
\(385\) −24.5578 + 12.7809i −1.25158 + 0.651374i
\(386\) −0.116382 + 0.660033i −0.00592367 + 0.0335948i
\(387\) −6.57838 5.51992i −0.334398 0.280593i
\(388\) −17.0169 6.19366i −0.863904 0.314435i
\(389\) −8.45968 + 23.2428i −0.428923 + 1.17846i 0.517545 + 0.855656i \(0.326846\pi\)
−0.946467 + 0.322799i \(0.895376\pi\)
\(390\) −1.70680 + 39.0028i −0.0864271 + 1.97499i
\(391\) 3.97563 22.5469i 0.201056 1.14025i
\(392\) −0.446797 + 2.53391i −0.0225667 + 0.127982i
\(393\) 4.33315 + 7.50523i 0.218578 + 0.378589i
\(394\) −10.7501 12.8115i −0.541584 0.645435i
\(395\) 7.19547 + 4.58503i 0.362043 + 0.230698i
\(396\) −15.3908 + 26.6577i −0.773419 + 1.33960i
\(397\) 11.2235 6.47991i 0.563293 0.325218i −0.191173 0.981556i \(-0.561229\pi\)
0.754466 + 0.656339i \(0.227896\pi\)
\(398\) −12.3535 + 14.7223i −0.619224 + 0.737963i
\(399\) −14.7297 8.50418i −0.737406 0.425742i
\(400\) 4.98089 + 0.436772i 0.249044 + 0.0218386i
\(401\) 6.32131i 0.315671i −0.987465 0.157836i \(-0.949548\pi\)
0.987465 0.157836i \(-0.0504516\pi\)
\(402\) −1.81088 10.2700i −0.0903186 0.512222i
\(403\) −8.42835 10.0445i −0.419846 0.500353i
\(404\) −10.6815 3.88774i −0.531424 0.193422i
\(405\) −3.20973 + 5.03715i −0.159493 + 0.250298i
\(406\) −5.20187 −0.258164
\(407\) −35.6228 3.48811i −1.76575 0.172899i
\(408\) 19.1643i 0.948774i
\(409\) −6.73372 18.5007i −0.332961 0.914802i −0.987338 0.158634i \(-0.949291\pi\)
0.654377 0.756169i \(-0.272931\pi\)
\(410\) −3.44905 + 1.08710i −0.170336 + 0.0536882i
\(411\) −29.3900 + 24.6611i −1.44970 + 1.21644i
\(412\) −0.510740 2.89655i −0.0251623 0.142703i
\(413\) 13.2520 0.652087
\(414\) 3.11341 + 17.6570i 0.153016 + 0.867794i
\(415\) −0.253047 + 0.0332886i −0.0124216 + 0.00163407i
\(416\) 4.66178 + 3.91170i 0.228562 + 0.191787i
\(417\) 11.4144 6.59009i 0.558965 0.322718i
\(418\) 14.3585 + 8.28987i 0.702296 + 0.405471i
\(419\) −12.5515 + 4.56836i −0.613180 + 0.223179i −0.629894 0.776681i \(-0.716902\pi\)
0.0167141 + 0.999860i \(0.494679\pi\)
\(420\) −2.92281 + 13.1777i −0.142619 + 0.643007i
\(421\) 24.6766 14.2470i 1.20266 0.694359i 0.241518 0.970396i \(-0.422355\pi\)
0.961147 + 0.276038i \(0.0890215\pi\)
\(422\) −2.50051 + 14.1811i −0.121723 + 0.690324i
\(423\) 51.4834 + 9.07790i 2.50321 + 0.441383i
\(424\) 6.14393 7.32205i 0.298375 0.355590i
\(425\) −19.1623 + 27.3551i −0.929510 + 1.32692i
\(426\) 8.16906 22.4443i 0.395792 1.08743i
\(427\) −14.0986 11.8302i −0.682281 0.572502i
\(428\) −4.19472 0.739642i −0.202759 0.0357519i
\(429\) 101.176 + 17.8400i 4.88482 + 0.861325i
\(430\) 3.39120 + 1.40508i 0.163538 + 0.0677589i
\(431\) 9.20205 + 10.9666i 0.443247 + 0.528241i 0.940695 0.339252i \(-0.110174\pi\)
−0.497448 + 0.867494i \(0.665730\pi\)
\(432\) 2.18928 + 6.01499i 0.105332 + 0.289396i
\(433\) 18.8435 + 10.8793i 0.905561 + 0.522826i 0.879000 0.476821i \(-0.158211\pi\)
0.0265609 + 0.999647i \(0.491544\pi\)
\(434\) −2.26674 3.92611i −0.108807 0.188459i
\(435\) 15.8454 + 0.693409i 0.759729 + 0.0332464i
\(436\) 7.44405 + 4.29782i 0.356505 + 0.205828i
\(437\) 9.51048 1.67695i 0.454948 0.0802196i
\(438\) 2.54924 0.121808
\(439\) 3.09117 0.545057i 0.147534 0.0260141i −0.0993936 0.995048i \(-0.531690\pi\)
0.246927 + 0.969034i \(0.420579\pi\)
\(440\) 2.84915 12.8456i 0.135828 0.612392i
\(441\) 12.6479 + 4.60347i 0.602283 + 0.219213i
\(442\) −38.1986 + 13.9031i −1.81692 + 0.661305i
\(443\) 16.9377i 0.804734i −0.915479 0.402367i \(-0.868188\pi\)
0.915479 0.402367i \(-0.131812\pi\)
\(444\) −12.4669 + 12.2117i −0.591654 + 0.579543i
\(445\) 0.205858 + 0.268335i 0.00975862 + 0.0127203i
\(446\) 4.04436 + 11.1118i 0.191506 + 0.526158i
\(447\) 3.22980 8.87380i 0.152764 0.419716i
\(448\) 1.35245 + 1.61179i 0.0638974 + 0.0761499i
\(449\) 19.2264 3.39014i 0.907352 0.159991i 0.299551 0.954080i \(-0.403163\pi\)
0.607801 + 0.794090i \(0.292052\pi\)
\(450\) 6.77459 25.2630i 0.319357 1.19091i
\(451\) 1.65253 + 9.37198i 0.0778147 + 0.441309i
\(452\) 2.16442 3.74888i 0.101806 0.176332i
\(453\) −14.5771 + 17.3723i −0.684890 + 0.816220i
\(454\) −7.47274 12.9432i −0.350713 0.607453i
\(455\) 28.3865 3.73427i 1.33078 0.175065i
\(456\) 7.59616 2.76477i 0.355723 0.129472i
\(457\) 9.90846 8.31418i 0.463498 0.388921i −0.380918 0.924609i \(-0.624392\pi\)
0.844416 + 0.535688i \(0.179948\pi\)
\(458\) −4.93602 8.54944i −0.230645 0.399489i
\(459\) −42.1080 7.42477i −1.96543 0.346559i
\(460\) −3.53818 6.79843i −0.164968 0.316978i
\(461\) −21.5804 + 25.7185i −1.00510 + 1.19783i −0.0249265 + 0.999689i \(0.507935\pi\)
−0.980173 + 0.198142i \(0.936509\pi\)
\(462\) 33.3786 + 12.1488i 1.55291 + 0.565214i
\(463\) −8.47983 3.08640i −0.394091 0.143437i 0.137371 0.990520i \(-0.456135\pi\)
−0.531462 + 0.847082i \(0.678357\pi\)
\(464\) 1.58918 1.89391i 0.0737757 0.0879224i
\(465\) 6.38137 + 12.2615i 0.295929 + 0.568612i
\(466\) 0.711599 + 0.125474i 0.0329642 + 0.00581247i
\(467\) 0.0801869 + 0.138888i 0.00371061 + 0.00642696i 0.867875 0.496783i \(-0.165486\pi\)
−0.864164 + 0.503210i \(0.832152\pi\)
\(468\) 24.3863 20.4625i 1.12725 0.945879i
\(469\) −7.18673 + 2.61575i −0.331852 + 0.120784i
\(470\) −22.1555 + 2.91458i −1.02196 + 0.134439i
\(471\) 13.5609 + 23.4881i 0.624851 + 1.08227i
\(472\) −4.04849 + 4.82481i −0.186347 + 0.222080i
\(473\) 4.82992 8.36567i 0.222080 0.384654i
\(474\) −1.90096 10.7809i −0.0873138 0.495181i
\(475\) −13.6072 3.64895i −0.624342 0.167425i
\(476\) −13.8411 + 2.44055i −0.634405 + 0.111863i
\(477\) −32.1395 38.3024i −1.47157 1.75375i
\(478\) −0.643042 + 1.76674i −0.0294121 + 0.0808090i
\(479\) 2.88185 + 7.91783i 0.131675 + 0.361775i 0.987956 0.154736i \(-0.0494528\pi\)
−0.856281 + 0.516511i \(0.827231\pi\)
\(480\) −3.90485 5.08996i −0.178231 0.232324i
\(481\) 33.3850 + 15.9900i 1.52223 + 0.729082i
\(482\) 19.4463i 0.885753i
\(483\) 19.4420 7.07632i 0.884643 0.321984i
\(484\) −22.2008 8.08044i −1.00913 0.367293i
\(485\) 8.76824 39.5323i 0.398145 1.79507i
\(486\) −11.3642 + 2.00382i −0.515493 + 0.0908953i
\(487\) −7.66479 −0.347325 −0.173662 0.984805i \(-0.555560\pi\)
−0.173662 + 0.984805i \(0.555560\pi\)
\(488\) 8.61430 1.51893i 0.389951 0.0687589i
\(489\) −56.5740 32.6630i −2.55837 1.47707i
\(490\) −5.74791 0.251533i −0.259664 0.0113631i
\(491\) 9.81933 + 17.0076i 0.443140 + 0.767542i 0.997921 0.0644553i \(-0.0205310\pi\)
−0.554780 + 0.831997i \(0.687198\pi\)
\(492\) 4.01829 + 2.31996i 0.181158 + 0.104592i
\(493\) 5.64833 + 15.5187i 0.254388 + 0.698925i
\(494\) −11.0216 13.1350i −0.495885 0.590972i
\(495\) −63.5879 26.3464i −2.85806 1.18418i
\(496\) 2.12192 + 0.374152i 0.0952770 + 0.0167999i
\(497\) −17.2503 3.04170i −0.773783 0.136439i
\(498\) 0.250857 + 0.210494i 0.0112412 + 0.00943245i
\(499\) 11.7837 32.3755i 0.527512 1.44933i −0.334478 0.942403i \(-0.608560\pi\)
0.861990 0.506924i \(-0.169218\pi\)
\(500\) 0.484338 + 11.1698i 0.0216602 + 0.499531i
\(501\) 20.3111 24.2058i 0.907432 1.08144i
\(502\) −17.1470 3.02348i −0.765308 0.134944i
\(503\) −0.232750 + 1.31999i −0.0103778 + 0.0588554i −0.989557 0.144143i \(-0.953957\pi\)
0.979179 + 0.202998i \(0.0650686\pi\)
\(504\) 9.53188 5.50324i 0.424584 0.245134i
\(505\) 5.50380 24.8143i 0.244916 1.10422i
\(506\) −18.9521 + 6.89799i −0.842522 + 0.306653i
\(507\) −59.7142 34.4760i −2.65200 1.53113i
\(508\) −18.9869 + 10.9621i −0.842408 + 0.486364i
\(509\) −2.68804 2.25554i −0.119145 0.0999748i 0.581268 0.813712i \(-0.302557\pi\)
−0.700414 + 0.713737i \(0.747001\pi\)
\(510\) 42.4866 5.58916i 1.88134 0.247492i
\(511\) −0.324644 1.84115i −0.0143614 0.0814475i
\(512\) −1.00000 −0.0441942
\(513\) −3.13183 17.7615i −0.138274 0.784189i
\(514\) −18.4160 + 15.4528i −0.812293 + 0.681595i
\(515\) 6.27260 1.97705i 0.276404 0.0871194i
\(516\) −1.61084 4.42574i −0.0709132 0.194833i
\(517\) 58.8059i 2.58628i
\(518\) 10.4074 + 7.44887i 0.457273 + 0.327285i
\(519\) 28.0053 1.22929
\(520\) −7.31252 + 11.4758i −0.320675 + 0.503249i
\(521\) 7.59964 + 2.76604i 0.332946 + 0.121183i 0.503083 0.864238i \(-0.332199\pi\)
−0.170137 + 0.985420i \(0.554421\pi\)
\(522\) −8.31315 9.90723i −0.363857 0.433628i
\(523\) 2.82778 + 16.0372i 0.123650 + 0.701256i 0.982100 + 0.188359i \(0.0603167\pi\)
−0.858450 + 0.512897i \(0.828572\pi\)
\(524\) 3.02068i 0.131959i
\(525\) −30.0670 2.63657i −1.31223 0.115069i
\(526\) −10.8839 6.28381i −0.474560 0.273987i
\(527\) −9.25142 + 11.0254i −0.402998 + 0.480275i
\(528\) −14.6204 + 8.44108i −0.636270 + 0.367351i
\(529\) 5.62627 9.74498i 0.244620 0.423695i
\(530\) 18.0246 + 11.4854i 0.782938 + 0.498896i
\(531\) 21.1781 + 25.2391i 0.919051 + 1.09528i
\(532\) −2.96417 5.13410i −0.128513 0.222591i
\(533\) 1.70903 9.69237i 0.0740262 0.419823i
\(534\) 0.0753515 0.427340i 0.00326078 0.0184928i
\(535\) 0.416396 9.51526i 0.0180024 0.411381i
\(536\) 1.24320 3.41568i 0.0536982 0.147535i
\(537\) 56.5976 + 20.5998i 2.44237 + 0.888949i
\(538\) −7.21480 6.05394i −0.311052 0.261004i
\(539\) −2.62911 + 14.9104i −0.113244 + 0.642238i
\(540\) −12.6966 + 6.60780i −0.546373 + 0.284354i
\(541\) −9.41169 + 5.43384i −0.404640 + 0.233619i −0.688484 0.725251i \(-0.741724\pi\)
0.283844 + 0.958870i \(0.408390\pi\)
\(542\) 19.8485 16.6549i 0.852567 0.715389i
\(543\) 1.78970 + 4.91715i 0.0768032 + 0.211015i
\(544\) 3.33990 5.78488i 0.143197 0.248025i
\(545\) −7.35712 + 17.7566i −0.315144 + 0.760611i
\(546\) −28.1407 23.6129i −1.20431 1.01054i
\(547\) 3.77572 6.53975i 0.161438 0.279619i −0.773946 0.633251i \(-0.781720\pi\)
0.935385 + 0.353632i \(0.115053\pi\)
\(548\) −13.1694 + 2.32213i −0.562571 + 0.0991964i
\(549\) 45.7575i 1.95288i
\(550\) 29.3093 + 2.57012i 1.24975 + 0.109590i
\(551\) −5.33627 + 4.47766i −0.227333 + 0.190755i
\(552\) −3.36320 + 9.24032i −0.143147 + 0.393294i
\(553\) −7.54420 + 2.74586i −0.320812 + 0.116766i
\(554\) 14.8672 0.631649
\(555\) −30.7089 24.0773i −1.30352 1.02202i
\(556\) 4.59402 0.194830
\(557\) −28.9406 + 10.5335i −1.22625 + 0.446319i −0.872312 0.488949i \(-0.837380\pi\)
−0.353940 + 0.935268i \(0.615158\pi\)
\(558\) 3.85498 10.5915i 0.163194 0.448373i
\(559\) −7.65285 + 6.42150i −0.323681 + 0.271601i
\(560\) −3.17885 + 3.46841i −0.134331 + 0.146567i
\(561\) 112.769i 4.76113i
\(562\) −7.42315 + 1.30890i −0.313127 + 0.0552127i
\(563\) 17.3836 30.1092i 0.732630 1.26895i −0.223125 0.974790i \(-0.571626\pi\)
0.955755 0.294163i \(-0.0950407\pi\)
\(564\) 21.9637 + 18.4297i 0.924837 + 0.776031i
\(565\) 8.94238 + 3.70510i 0.376209 + 0.155875i
\(566\) −0.0630597 + 0.109223i −0.00265060 + 0.00459097i
\(567\) −1.92223 5.28128i −0.0807259 0.221793i
\(568\) 6.37743 5.35130i 0.267591 0.224535i
\(569\) 19.5332 11.2775i 0.818873 0.472776i −0.0311548 0.999515i \(-0.509918\pi\)
0.850028 + 0.526738i \(0.176585\pi\)
\(570\) 8.34479 + 16.0341i 0.349525 + 0.671594i
\(571\) 3.81171 21.6173i 0.159515 0.904655i −0.795026 0.606575i \(-0.792543\pi\)
0.954541 0.298080i \(-0.0963461\pi\)
\(572\) 27.4315 + 23.0178i 1.14697 + 0.962423i
\(573\) −3.83957 1.39749i −0.160400 0.0583810i
\(574\) 1.16382 3.19758i 0.0485771 0.133464i
\(575\) 14.0400 9.82674i 0.585509 0.409803i
\(576\) −0.908372 + 5.15163i −0.0378488 + 0.214651i
\(577\) −1.21153 + 6.87094i −0.0504368 + 0.286041i −0.999586 0.0287867i \(-0.990836\pi\)
0.949149 + 0.314828i \(0.101947\pi\)
\(578\) 13.8099 + 23.9194i 0.574416 + 0.994917i
\(579\) 1.23598 + 1.47298i 0.0513655 + 0.0612150i
\(580\) 4.66220 + 2.97081i 0.193588 + 0.123356i
\(581\) 0.120079 0.207983i 0.00498172 0.00862858i
\(582\) −44.9941 + 25.9773i −1.86506 + 1.07680i
\(583\) 36.1530 43.0855i 1.49731 1.78442i
\(584\) 0.769508 + 0.444275i 0.0318425 + 0.0183842i
\(585\) 52.4768 + 48.0958i 2.16965 + 1.98851i
\(586\) 16.4608i 0.679990i
\(587\) −4.38796 24.8854i −0.181110 1.02713i −0.930852 0.365397i \(-0.880933\pi\)
0.749741 0.661731i \(-0.230178\pi\)
\(588\) 4.74501 + 5.65488i 0.195681 + 0.233203i
\(589\) −5.70482 2.07639i −0.235063 0.0855560i
\(590\) −11.8772 7.56825i −0.488975 0.311580i
\(591\) −47.9817 −1.97370
\(592\) −5.89146 + 1.51350i −0.242138 + 0.0622043i
\(593\) 17.2145i 0.706916i −0.935450 0.353458i \(-0.885006\pi\)
0.935450 0.353458i \(-0.114994\pi\)
\(594\) 12.8825 + 35.3943i 0.528575 + 1.45225i
\(595\) −9.44730 29.9734i −0.387302 1.22879i
\(596\) 2.52144 2.11574i 0.103282 0.0866640i
\(597\) 9.57461 + 54.3003i 0.391863 + 2.22236i
\(598\) 20.8579 0.852941
\(599\) 2.51307 + 14.2523i 0.102681 + 0.582335i 0.992121 + 0.125282i \(0.0399837\pi\)
−0.889440 + 0.457052i \(0.848905\pi\)
\(600\) 10.1454 10.1414i 0.414186 0.414020i
\(601\) 31.4944 + 26.4269i 1.28468 + 1.07798i 0.992580 + 0.121590i \(0.0387992\pi\)
0.292102 + 0.956387i \(0.405645\pi\)
\(602\) −2.99128 + 1.72701i −0.121915 + 0.0703879i
\(603\) −16.4670 9.50724i −0.670589 0.387165i
\(604\) −7.42778 + 2.70349i −0.302232 + 0.110004i
\(605\) 11.4393 51.5751i 0.465074 2.09683i
\(606\) −28.2426 + 16.3059i −1.14728 + 0.662382i
\(607\) 4.20024 23.8207i 0.170482 0.966853i −0.772748 0.634713i \(-0.781118\pi\)
0.943230 0.332140i \(-0.107771\pi\)
\(608\) 2.77479 + 0.489271i 0.112533 + 0.0198425i
\(609\) −9.59303 + 11.4325i −0.388729 + 0.463270i
\(610\) 5.87974 + 18.6546i 0.238064 + 0.755304i
\(611\) 20.8004 57.1486i 0.841493 2.31198i
\(612\) −26.7677 22.4608i −1.08202 0.907923i
\(613\) 2.25639 + 0.397863i 0.0911348 + 0.0160695i 0.219030 0.975718i \(-0.429711\pi\)
−0.127895 + 0.991788i \(0.540822\pi\)
\(614\) 13.3044 + 2.34592i 0.536920 + 0.0946735i
\(615\) −3.97136 + 9.58501i −0.160141 + 0.386505i
\(616\) 7.95831 + 9.48434i 0.320649 + 0.382135i
\(617\) −2.27649 6.25459i −0.0916479 0.251800i 0.885396 0.464837i \(-0.153887\pi\)
−0.977044 + 0.213036i \(0.931665\pi\)
\(618\) −7.30784 4.21918i −0.293964 0.169720i
\(619\) 15.7360 + 27.2556i 0.632484 + 1.09550i 0.987042 + 0.160461i \(0.0512981\pi\)
−0.354558 + 0.935034i \(0.615369\pi\)
\(620\) −0.210636 + 4.81334i −0.00845935 + 0.193309i
\(621\) 18.9999 + 10.9696i 0.762441 + 0.440195i
\(622\) 6.31037 1.11269i 0.253023 0.0446148i
\(623\) −0.318234 −0.0127498
\(624\) 17.1940 3.03177i 0.688313 0.121368i
\(625\) −24.6219 + 4.33138i −0.984877 + 0.173255i
\(626\) 8.96579 + 3.26328i 0.358345 + 0.130427i
\(627\) 44.6985 16.2689i 1.78508 0.649718i
\(628\) 9.45340i 0.377232i
\(629\) 10.9215 39.1363i 0.435469 1.56047i
\(630\) 14.9804 + 19.5269i 0.596834 + 0.777970i
\(631\) −7.25105 19.9221i −0.288660 0.793086i −0.996255 0.0864679i \(-0.972442\pi\)
0.707595 0.706618i \(-0.249780\pi\)
\(632\) 1.30504 3.58557i 0.0519118 0.142626i
\(633\) 26.5555 + 31.6476i 1.05549 + 1.25788i
\(634\) 25.1746 4.43895i 0.999809 0.176293i
\(635\) −29.8400 38.8963i −1.18417 1.54355i
\(636\) −4.76187 27.0059i −0.188821 1.07085i
\(637\) 7.82903 13.5603i 0.310197 0.537278i
\(638\) 9.35128 11.1444i 0.370221 0.441212i
\(639\) −21.7748 37.7151i −0.861399 1.49199i
\(640\) −0.291644 2.21697i −0.0115283 0.0876333i
\(641\) 17.2568 6.28097i 0.681603 0.248083i 0.0220675 0.999756i \(-0.492975\pi\)
0.659536 + 0.751673i \(0.270753\pi\)
\(642\) −9.36126 + 7.85503i −0.369460 + 0.310013i
\(643\) 22.8453 + 39.5692i 0.900931 + 1.56046i 0.826288 + 0.563247i \(0.190448\pi\)
0.0746421 + 0.997210i \(0.476219\pi\)
\(644\) 7.10196 + 1.25227i 0.279856 + 0.0493462i
\(645\) 9.34194 4.86192i 0.367838 0.191438i
\(646\) −12.0979 + 14.4177i −0.475986 + 0.567258i
\(647\) −20.4189 7.43188i −0.802751 0.292177i −0.0921249 0.995747i \(-0.529366\pi\)
−0.710626 + 0.703570i \(0.751588\pi\)
\(648\) 2.51006 + 0.913587i 0.0986045 + 0.0358891i
\(649\) −23.8228 + 28.3909i −0.935125 + 1.11444i
\(650\) −27.5742 12.8648i −1.08155 0.504597i
\(651\) −12.8089 2.25856i −0.502021 0.0885199i
\(652\) −11.3849 19.7191i −0.445865 0.772261i
\(653\) −25.3325 + 21.2565i −0.991336 + 0.831830i −0.985761 0.168155i \(-0.946219\pi\)
−0.00557554 + 0.999984i \(0.501775\pi\)
\(654\) 23.1736 8.43450i 0.906159 0.329815i
\(655\) −6.69674 + 0.880964i −0.261663 + 0.0344221i
\(656\) 0.808632 + 1.40059i 0.0315718 + 0.0546839i
\(657\) 2.98774 3.56065i 0.116563 0.138914i
\(658\) 10.5135 18.2099i 0.409858 0.709895i
\(659\) 3.79657 + 21.5314i 0.147893 + 0.838745i 0.964998 + 0.262256i \(0.0844665\pi\)
−0.817105 + 0.576489i \(0.804422\pi\)
\(660\) −22.9775 29.9511i −0.894399 1.16584i
\(661\) 16.0545 2.83084i 0.624447 0.110107i 0.147533 0.989057i \(-0.452867\pi\)
0.476913 + 0.878950i \(0.341756\pi\)
\(662\) 7.63345 + 9.09719i 0.296682 + 0.353572i
\(663\) −39.8880 + 109.591i −1.54912 + 4.25618i
\(664\) 0.0390386 + 0.107258i 0.00151499 + 0.00416240i
\(665\) 10.5176 8.06881i 0.407857 0.312895i
\(666\) 2.44534 + 31.7255i 0.0947550 + 1.22934i
\(667\) 8.47377i 0.328106i
\(668\) 10.3496 3.76694i 0.400437 0.145747i
\(669\) 31.8796 + 11.6032i 1.23254 + 0.448607i
\(670\) 7.93501 + 1.75998i 0.306556 + 0.0679940i
\(671\) 50.6896 8.93794i 1.95685 0.345046i
\(672\) 6.03648 0.232862
\(673\) −10.1539 + 1.79041i −0.391405 + 0.0690153i −0.365887 0.930659i \(-0.619234\pi\)
−0.0255176 + 0.999674i \(0.508123\pi\)
\(674\) 22.5699 + 13.0308i 0.869362 + 0.501926i
\(675\) −18.3521 26.2207i −0.706374 1.00924i
\(676\) −12.0168 20.8137i −0.462183 0.800525i
\(677\) −4.68137 2.70279i −0.179920 0.103877i 0.407335 0.913279i \(-0.366458\pi\)
−0.587255 + 0.809402i \(0.699791\pi\)
\(678\) −4.24768 11.6704i −0.163131 0.448199i
\(679\) 24.4916 + 29.1880i 0.939902 + 1.12013i
\(680\) 13.7990 + 5.71733i 0.529166 + 0.219249i
\(681\) −42.2270 7.44576i −1.61814 0.285322i
\(682\) 12.4861 + 2.20164i 0.478118 + 0.0843051i
\(683\) 26.7395 + 22.4371i 1.02316 + 0.858533i 0.990021 0.140918i \(-0.0450054\pi\)
0.0331383 + 0.999451i \(0.489450\pi\)
\(684\) 5.04109 13.8503i 0.192751 0.529578i
\(685\) −8.98888 28.5190i −0.343447 1.08965i
\(686\) 12.9470 15.4297i 0.494320 0.589108i
\(687\) −27.8925 4.91820i −1.06417 0.187641i
\(688\) 0.285064 1.61668i 0.0108679 0.0616352i
\(689\) −50.3740 + 29.0835i −1.91910 + 1.10799i
\(690\) −21.4663 4.76122i −0.817210 0.181257i
\(691\) −37.4128 + 13.6171i −1.42325 + 0.518020i −0.934989 0.354677i \(-0.884591\pi\)
−0.488261 + 0.872698i \(0.662368\pi\)
\(692\) 8.45359 + 4.88068i 0.321357 + 0.185536i
\(693\) 56.0890 32.3830i 2.13064 1.23013i
\(694\) 0.452351 + 0.379567i 0.0171710 + 0.0144082i
\(695\) 1.33982 + 10.1848i 0.0508222 + 0.386331i
\(696\) −1.23170 6.98530i −0.0466874 0.264777i
\(697\) −10.8030 −0.409193
\(698\) −1.07927 6.12084i −0.0408509 0.231677i
\(699\) 1.58806 1.33254i 0.0600659 0.0504013i
\(700\) −8.61645 6.03587i −0.325671 0.228134i
\(701\) 8.90067 + 24.4544i 0.336174 + 0.923630i 0.986469 + 0.163948i \(0.0524229\pi\)
−0.650295 + 0.759682i \(0.725355\pi\)
\(702\) 38.9535i 1.47021i
\(703\) 17.0881 1.31712i 0.644490 0.0496760i
\(704\) −5.88435 −0.221775
\(705\) −34.4525 + 54.0677i −1.29756 + 2.03631i
\(706\) 27.5498 + 10.0273i 1.03685 + 0.377383i
\(707\) 15.3733 + 18.3212i 0.578173 + 0.689040i
\(708\) 3.13780 + 17.7953i 0.117926 + 0.668790i
\(709\) 30.5640i 1.14785i 0.818906 + 0.573927i \(0.194581\pi\)
−0.818906 + 0.573927i \(0.805419\pi\)
\(710\) 13.7236 + 12.5779i 0.515037 + 0.472039i
\(711\) −17.2861 9.98013i −0.648279 0.374284i
\(712\) 0.0972210 0.115863i 0.00364351 0.00434217i
\(713\) 6.39558 3.69249i 0.239516 0.138285i
\(714\) −20.1612 + 34.9203i −0.754516 + 1.30686i
\(715\) −43.0295 + 67.5279i −1.60921 + 2.52540i
\(716\) 13.4943 + 16.0819i 0.504306 + 0.601009i
\(717\) 2.69704 + 4.67141i 0.100723 + 0.174457i
\(718\) 1.90675 10.8137i 0.0711592 0.403564i
\(719\) 8.40136 47.6465i 0.313318 1.77691i −0.268183 0.963368i \(-0.586423\pi\)
0.581500 0.813546i \(-0.302466\pi\)
\(720\) −11.6859 0.511386i −0.435509 0.0190582i
\(721\) −2.11658 + 5.81527i −0.0788257 + 0.216572i
\(722\) 10.3941 + 3.78313i 0.386827 + 0.140794i
\(723\) −42.7385 35.8618i −1.58946 1.33372i
\(724\) −0.316715 + 1.79618i −0.0117706 + 0.0667545i
\(725\) −5.22647 + 11.2024i −0.194106 + 0.416046i
\(726\) −58.7006 + 33.8908i −2.17858 + 1.25781i
\(727\) 5.96800 5.00775i 0.221341 0.185727i −0.525374 0.850872i \(-0.676074\pi\)
0.746715 + 0.665144i \(0.231630\pi\)
\(728\) −4.37929 12.0320i −0.162307 0.445936i
\(729\) −20.5602 + 35.6113i −0.761488 + 1.31894i
\(730\) −0.760522 + 1.83554i −0.0281482 + 0.0679365i
\(731\) 8.40019 + 7.04860i 0.310692 + 0.260702i
\(732\) 12.5478 21.7334i 0.463780 0.803291i
\(733\) −39.3185 + 6.93291i −1.45226 + 0.256073i −0.843435 0.537231i \(-0.819471\pi\)
−0.608826 + 0.793303i \(0.708359\pi\)
\(734\) 7.45272i 0.275085i
\(735\) −11.1528 + 12.1687i −0.411378 + 0.448851i
\(736\) −2.62558 + 2.20313i −0.0967803 + 0.0812083i
\(737\) 7.31545 20.0990i 0.269468 0.740358i
\(738\) 7.94988 2.89352i 0.292639 0.106512i
\(739\) 31.9702 1.17604 0.588022 0.808845i \(-0.299907\pi\)
0.588022 + 0.808845i \(0.299907\pi\)
\(740\) −5.07358 12.6198i −0.186509 0.463912i
\(741\) −49.1933 −1.80716
\(742\) −18.8981 + 6.87836i −0.693772 + 0.252512i
\(743\) 4.09772 11.2584i 0.150331 0.413030i −0.841554 0.540174i \(-0.818359\pi\)
0.991884 + 0.127143i \(0.0405808\pi\)
\(744\) 4.73544 3.97351i 0.173610 0.145676i
\(745\) 5.42589 + 4.97290i 0.198789 + 0.182193i
\(746\) 17.3555i 0.635432i
\(747\) 0.588014 0.103683i 0.0215143 0.00379355i
\(748\) 19.6532 34.0403i 0.718591 1.24464i
\(749\) 6.86531 + 5.76068i 0.250853 + 0.210491i
\(750\) 25.4420 + 19.5344i 0.929010 + 0.713296i
\(751\) −2.01246 + 3.48568i −0.0734357 + 0.127194i −0.900405 0.435053i \(-0.856730\pi\)
0.826969 + 0.562247i \(0.190063\pi\)
\(752\) 3.41801 + 9.39091i 0.124642 + 0.342451i
\(753\) −38.2666 + 32.1095i −1.39451 + 1.17013i
\(754\) −13.0297 + 7.52268i −0.474512 + 0.273960i
\(755\) −8.15983 15.6787i −0.296966 0.570606i
\(756\) 2.33870 13.2634i 0.0850576 0.482386i
\(757\) 7.30721 + 6.13148i 0.265585 + 0.222852i 0.765849 0.643021i \(-0.222319\pi\)
−0.500264 + 0.865873i \(0.666764\pi\)
\(758\) −12.0285 4.37801i −0.436894 0.159016i
\(759\) −19.7903 + 54.3733i −0.718341 + 1.97363i
\(760\) −0.275445 + 6.29432i −0.00999143 + 0.228319i
\(761\) −9.47330 + 53.7258i −0.343407 + 1.94756i −0.0247308 + 0.999694i \(0.507873\pi\)
−0.318676 + 0.947864i \(0.603238\pi\)
\(762\) −10.9225 + 61.9447i −0.395681 + 2.24402i
\(763\) −9.04280 15.6626i −0.327371 0.567024i
\(764\) −0.915452 1.09099i −0.0331199 0.0394707i
\(765\) 41.9881 65.8937i 1.51808 2.38239i
\(766\) 8.02657 13.9024i 0.290012 0.502315i
\(767\) 33.1936 19.1643i 1.19855 0.691984i
\(768\) −1.84415 + 2.19777i −0.0665451 + 0.0793053i
\(769\) −16.8451 9.72555i −0.607452 0.350712i 0.164516 0.986374i \(-0.447394\pi\)
−0.771967 + 0.635662i \(0.780727\pi\)
\(770\) −18.7055 + 20.4094i −0.674099 + 0.735503i
\(771\) 68.9715i 2.48395i
\(772\) 0.116382 + 0.660033i 0.00418866 + 0.0237551i