Properties

Label 483.2.i.f.415.6
Level $483$
Weight $2$
Character 483.415
Analytic conductor $3.857$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.i (of order \(3\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{3})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{12} - \cdots)\)
Defining polynomial: \(x^{12} - x^{11} + 8 x^{10} - 3 x^{9} + 42 x^{8} - 15 x^{7} + 101 x^{6} + 6 x^{5} + 150 x^{4} - 28 x^{3} + 40 x^{2} + 8 x + 4\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{3}]$

Embedding invariants

Embedding label 415.6
Root \(1.13633 + 1.96819i\) of defining polynomial
Character \(\chi\) \(=\) 483.415
Dual form 483.2.i.f.277.6

$q$-expansion

\(f(q)\) \(=\) \(q+(1.13633 - 1.96819i) q^{2} +(0.500000 + 0.866025i) q^{3} +(-1.58251 - 2.74099i) q^{4} +(-2.07560 + 3.59505i) q^{5} +2.27267 q^{6} +(-1.69175 + 2.03420i) q^{7} -2.64772 q^{8} +(-0.500000 + 0.866025i) q^{9} +O(q^{10})\) \(q+(1.13633 - 1.96819i) q^{2} +(0.500000 + 0.866025i) q^{3} +(-1.58251 - 2.74099i) q^{4} +(-2.07560 + 3.59505i) q^{5} +2.27267 q^{6} +(-1.69175 + 2.03420i) q^{7} -2.64772 q^{8} +(-0.500000 + 0.866025i) q^{9} +(4.71716 + 8.17036i) q^{10} +(1.59353 + 2.76007i) q^{11} +(1.58251 - 2.74099i) q^{12} +0.175661 q^{13} +(2.08130 + 5.64122i) q^{14} -4.15120 q^{15} +(0.156327 - 0.270766i) q^{16} +(0.663433 + 1.14910i) q^{17} +(1.13633 + 1.96819i) q^{18} +(-0.0252131 + 0.0436703i) q^{19} +13.1387 q^{20} +(-2.60755 - 0.447998i) q^{21} +7.24313 q^{22} +(0.500000 - 0.866025i) q^{23} +(-1.32386 - 2.29300i) q^{24} +(-6.11625 - 10.5937i) q^{25} +(0.199610 - 0.345735i) q^{26} -1.00000 q^{27} +(8.25296 + 1.41793i) q^{28} +1.10049 q^{29} +(-4.71716 + 8.17036i) q^{30} +(4.35518 + 7.54340i) q^{31} +(-3.00300 - 5.20135i) q^{32} +(-1.59353 + 2.76007i) q^{33} +3.01553 q^{34} +(-3.80165 - 10.3041i) q^{35} +3.16503 q^{36} +(-1.88116 + 3.25827i) q^{37} +(0.0573009 + 0.0992482i) q^{38} +(0.0878306 + 0.152127i) q^{39} +(5.49562 - 9.51870i) q^{40} +4.84719 q^{41} +(-3.84479 + 4.62307i) q^{42} -10.5958 q^{43} +(5.04356 - 8.73571i) q^{44} +(-2.07560 - 3.59505i) q^{45} +(-1.13633 - 1.96819i) q^{46} +(4.47507 - 7.75104i) q^{47} +0.312654 q^{48} +(-1.27596 - 6.88273i) q^{49} -27.8004 q^{50} +(-0.663433 + 1.14910i) q^{51} +(-0.277986 - 0.481487i) q^{52} +(4.98815 + 8.63972i) q^{53} +(-1.13633 + 1.96819i) q^{54} -13.2301 q^{55} +(4.47929 - 5.38601i) q^{56} -0.0504261 q^{57} +(1.25053 - 2.16597i) q^{58} +(3.19449 + 5.53301i) q^{59} +(6.56934 + 11.3784i) q^{60} +(3.61631 - 6.26363i) q^{61} +19.7958 q^{62} +(-0.915795 - 2.48220i) q^{63} -13.0244 q^{64} +(-0.364603 + 0.631511i) q^{65} +(3.62156 + 6.27273i) q^{66} +(-3.01030 - 5.21399i) q^{67} +(2.09978 - 3.63693i) q^{68} +1.00000 q^{69} +(-24.6004 - 4.22656i) q^{70} +6.71519 q^{71} +(1.32386 - 2.29300i) q^{72} +(2.30686 + 3.99560i) q^{73} +(4.27526 + 7.40497i) q^{74} +(6.11625 - 10.5937i) q^{75} +0.159600 q^{76} +(-8.31040 - 1.42780i) q^{77} +0.399220 q^{78} +(7.74272 - 13.4108i) q^{79} +(0.648945 + 1.12401i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(5.50803 - 9.54019i) q^{82} +7.21102 q^{83} +(2.89852 + 7.85623i) q^{84} -5.50809 q^{85} +(-12.0403 + 20.8545i) q^{86} +(0.550245 + 0.953053i) q^{87} +(-4.21922 - 7.30791i) q^{88} +(0.970735 - 1.68136i) q^{89} -9.43432 q^{90} +(-0.297175 + 0.357331i) q^{91} -3.16503 q^{92} +(-4.35518 + 7.54340i) q^{93} +(-10.1703 - 17.6156i) q^{94} +(-0.104665 - 0.181284i) q^{95} +(3.00300 - 5.20135i) q^{96} -12.7879 q^{97} +(-14.9964 - 5.30976i) q^{98} -3.18706 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + q^{2} + 6q^{3} - 3q^{4} - 3q^{5} + 2q^{6} - 2q^{7} - 6q^{8} - 6q^{9} + O(q^{10}) \) \( 12q + q^{2} + 6q^{3} - 3q^{4} - 3q^{5} + 2q^{6} - 2q^{7} - 6q^{8} - 6q^{9} + 3q^{10} + 14q^{11} + 3q^{12} - q^{14} - 6q^{15} + 7q^{16} - 15q^{17} + q^{18} + q^{19} + 34q^{20} - 4q^{21} - 12q^{22} + 6q^{23} - 3q^{24} - 9q^{25} + 15q^{26} - 12q^{27} - 2q^{28} - 12q^{29} - 3q^{30} + 11q^{31} - 3q^{32} - 14q^{33} + 30q^{34} - q^{35} + 6q^{36} + 5q^{37} - 14q^{38} + 17q^{40} + 36q^{41} - 17q^{42} - 74q^{43} + 10q^{44} - 3q^{45} - q^{46} - 3q^{47} + 14q^{48} - 6q^{49} - 60q^{50} + 15q^{51} + 7q^{52} + 15q^{53} - q^{54} - 4q^{55} - 21q^{56} + 2q^{57} - 4q^{58} + 2q^{59} + 17q^{60} + 12q^{61} + 72q^{62} - 2q^{63} - 46q^{64} + 17q^{65} - 6q^{66} + 10q^{67} + q^{68} + 12q^{69} - 56q^{70} - 42q^{71} + 3q^{72} + 8q^{73} + 16q^{74} + 9q^{75} + 36q^{76} - 40q^{77} + 30q^{78} + 17q^{79} - 3q^{80} - 6q^{81} + 48q^{82} + 24q^{83} - 25q^{84} - 26q^{85} - 22q^{86} - 6q^{87} + 2q^{88} - 18q^{89} - 6q^{90} + 22q^{91} - 6q^{92} - 11q^{93} - 3q^{94} + 16q^{95} + 3q^{96} - 4q^{97} - 62q^{98} - 28q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.13633 1.96819i 0.803510 1.39172i −0.113782 0.993506i \(-0.536297\pi\)
0.917292 0.398215i \(-0.130370\pi\)
\(3\) 0.500000 + 0.866025i 0.288675 + 0.500000i
\(4\) −1.58251 2.74099i −0.791257 1.37050i
\(5\) −2.07560 + 3.59505i −0.928237 + 1.60775i −0.141967 + 0.989871i \(0.545343\pi\)
−0.786270 + 0.617883i \(0.787991\pi\)
\(6\) 2.27267 0.927814
\(7\) −1.69175 + 2.03420i −0.639422 + 0.768856i
\(8\) −2.64772 −0.936112
\(9\) −0.500000 + 0.866025i −0.166667 + 0.288675i
\(10\) 4.71716 + 8.17036i 1.49170 + 2.58369i
\(11\) 1.59353 + 2.76007i 0.480467 + 0.832193i 0.999749 0.0224099i \(-0.00713388\pi\)
−0.519282 + 0.854603i \(0.673801\pi\)
\(12\) 1.58251 2.74099i 0.456832 0.791257i
\(13\) 0.175661 0.0487197 0.0243598 0.999703i \(-0.492245\pi\)
0.0243598 + 0.999703i \(0.492245\pi\)
\(14\) 2.08130 + 5.64122i 0.556251 + 1.50768i
\(15\) −4.15120 −1.07184
\(16\) 0.156327 0.270766i 0.0390817 0.0676915i
\(17\) 0.663433 + 1.14910i 0.160906 + 0.278697i 0.935194 0.354136i \(-0.115225\pi\)
−0.774288 + 0.632834i \(0.781892\pi\)
\(18\) 1.13633 + 1.96819i 0.267837 + 0.463907i
\(19\) −0.0252131 + 0.0436703i −0.00578427 + 0.0100187i −0.868903 0.494982i \(-0.835175\pi\)
0.863119 + 0.505001i \(0.168508\pi\)
\(20\) 13.1387 2.93790
\(21\) −2.60755 0.447998i −0.569013 0.0977613i
\(22\) 7.24313 1.54424
\(23\) 0.500000 0.866025i 0.104257 0.180579i
\(24\) −1.32386 2.29300i −0.270232 0.468056i
\(25\) −6.11625 10.5937i −1.22325 2.11873i
\(26\) 0.199610 0.345735i 0.0391467 0.0678042i
\(27\) −1.00000 −0.192450
\(28\) 8.25296 + 1.41793i 1.55966 + 0.267963i
\(29\) 1.10049 0.204356 0.102178 0.994766i \(-0.467419\pi\)
0.102178 + 0.994766i \(0.467419\pi\)
\(30\) −4.71716 + 8.17036i −0.861231 + 1.49170i
\(31\) 4.35518 + 7.54340i 0.782214 + 1.35483i 0.930649 + 0.365912i \(0.119243\pi\)
−0.148435 + 0.988922i \(0.547424\pi\)
\(32\) −3.00300 5.20135i −0.530861 0.919478i
\(33\) −1.59353 + 2.76007i −0.277398 + 0.480467i
\(34\) 3.01553 0.517159
\(35\) −3.80165 10.3041i −0.642597 1.74171i
\(36\) 3.16503 0.527505
\(37\) −1.88116 + 3.25827i −0.309261 + 0.535656i −0.978201 0.207660i \(-0.933415\pi\)
0.668940 + 0.743317i \(0.266748\pi\)
\(38\) 0.0573009 + 0.0992482i 0.00929544 + 0.0161002i
\(39\) 0.0878306 + 0.152127i 0.0140642 + 0.0243598i
\(40\) 5.49562 9.51870i 0.868934 1.50504i
\(41\) 4.84719 0.757004 0.378502 0.925601i \(-0.376439\pi\)
0.378502 + 0.925601i \(0.376439\pi\)
\(42\) −3.84479 + 4.62307i −0.593264 + 0.713355i
\(43\) −10.5958 −1.61584 −0.807920 0.589293i \(-0.799406\pi\)
−0.807920 + 0.589293i \(0.799406\pi\)
\(44\) 5.04356 8.73571i 0.760346 1.31696i
\(45\) −2.07560 3.59505i −0.309412 0.535918i
\(46\) −1.13633 1.96819i −0.167543 0.290194i
\(47\) 4.47507 7.75104i 0.652755 1.13061i −0.329696 0.944087i \(-0.606946\pi\)
0.982451 0.186518i \(-0.0597204\pi\)
\(48\) 0.312654 0.0451277
\(49\) −1.27596 6.88273i −0.182279 0.983247i
\(50\) −27.8004 −3.93157
\(51\) −0.663433 + 1.14910i −0.0928992 + 0.160906i
\(52\) −0.277986 0.481487i −0.0385498 0.0667702i
\(53\) 4.98815 + 8.63972i 0.685175 + 1.18676i 0.973382 + 0.229189i \(0.0736074\pi\)
−0.288207 + 0.957568i \(0.593059\pi\)
\(54\) −1.13633 + 1.96819i −0.154636 + 0.267837i
\(55\) −13.2301 −1.78395
\(56\) 4.47929 5.38601i 0.598570 0.719735i
\(57\) −0.0504261 −0.00667910
\(58\) 1.25053 2.16597i 0.164202 0.284406i
\(59\) 3.19449 + 5.53301i 0.415887 + 0.720337i 0.995521 0.0945397i \(-0.0301379\pi\)
−0.579634 + 0.814877i \(0.696805\pi\)
\(60\) 6.56934 + 11.3784i 0.848098 + 1.46895i
\(61\) 3.61631 6.26363i 0.463021 0.801975i −0.536089 0.844161i \(-0.680099\pi\)
0.999110 + 0.0421861i \(0.0134323\pi\)
\(62\) 19.7958 2.51407
\(63\) −0.915795 2.48220i −0.115379 0.312728i
\(64\) −13.0244 −1.62805
\(65\) −0.364603 + 0.631511i −0.0452234 + 0.0783293i
\(66\) 3.62156 + 6.27273i 0.445784 + 0.772120i
\(67\) −3.01030 5.21399i −0.367766 0.636990i 0.621450 0.783454i \(-0.286544\pi\)
−0.989216 + 0.146464i \(0.953211\pi\)
\(68\) 2.09978 3.63693i 0.254636 0.441043i
\(69\) 1.00000 0.120386
\(70\) −24.6004 4.22656i −2.94031 0.505170i
\(71\) 6.71519 0.796947 0.398473 0.917180i \(-0.369540\pi\)
0.398473 + 0.917180i \(0.369540\pi\)
\(72\) 1.32386 2.29300i 0.156019 0.270232i
\(73\) 2.30686 + 3.99560i 0.269998 + 0.467650i 0.968861 0.247606i \(-0.0796438\pi\)
−0.698863 + 0.715255i \(0.746310\pi\)
\(74\) 4.27526 + 7.40497i 0.496989 + 0.860810i
\(75\) 6.11625 10.5937i 0.706243 1.22325i
\(76\) 0.159600 0.0183074
\(77\) −8.31040 1.42780i −0.947058 0.162713i
\(78\) 0.399220 0.0452028
\(79\) 7.74272 13.4108i 0.871124 1.50883i 0.0102883 0.999947i \(-0.496725\pi\)
0.860835 0.508883i \(-0.169942\pi\)
\(80\) 0.648945 + 1.12401i 0.0725542 + 0.125668i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 5.50803 9.54019i 0.608260 1.05354i
\(83\) 7.21102 0.791512 0.395756 0.918356i \(-0.370483\pi\)
0.395756 + 0.918356i \(0.370483\pi\)
\(84\) 2.89852 + 7.85623i 0.316254 + 0.857185i
\(85\) −5.50809 −0.597436
\(86\) −12.0403 + 20.8545i −1.29834 + 2.24880i
\(87\) 0.550245 + 0.953053i 0.0589925 + 0.102178i
\(88\) −4.21922 7.30791i −0.449771 0.779026i
\(89\) 0.970735 1.68136i 0.102898 0.178224i −0.809980 0.586458i \(-0.800522\pi\)
0.912877 + 0.408234i \(0.133855\pi\)
\(90\) −9.43432 −0.994464
\(91\) −0.297175 + 0.357331i −0.0311524 + 0.0374584i
\(92\) −3.16503 −0.329977
\(93\) −4.35518 + 7.54340i −0.451612 + 0.782214i
\(94\) −10.1703 17.6156i −1.04899 1.81691i
\(95\) −0.104665 0.181284i −0.0107384 0.0185994i
\(96\) 3.00300 5.20135i 0.306493 0.530861i
\(97\) −12.7879 −1.29841 −0.649207 0.760612i \(-0.724899\pi\)
−0.649207 + 0.760612i \(0.724899\pi\)
\(98\) −14.9964 5.30976i −1.51487 0.536367i
\(99\) −3.18706 −0.320311
\(100\) −19.3581 + 33.5292i −1.93581 + 3.35292i
\(101\) 0.822915 + 1.42533i 0.0818831 + 0.141826i 0.904059 0.427408i \(-0.140573\pi\)
−0.822176 + 0.569234i \(0.807240\pi\)
\(102\) 1.50776 + 2.61152i 0.149291 + 0.258579i
\(103\) −4.49638 + 7.78795i −0.443041 + 0.767370i −0.997913 0.0645657i \(-0.979434\pi\)
0.554872 + 0.831936i \(0.312767\pi\)
\(104\) −0.465103 −0.0456071
\(105\) 7.02280 8.44439i 0.685356 0.824088i
\(106\) 22.6728 2.20218
\(107\) 9.49153 16.4398i 0.917581 1.58930i 0.114503 0.993423i \(-0.463472\pi\)
0.803078 0.595874i \(-0.203194\pi\)
\(108\) 1.58251 + 2.74099i 0.152277 + 0.263752i
\(109\) 5.85913 + 10.1483i 0.561203 + 0.972033i 0.997392 + 0.0721773i \(0.0229947\pi\)
−0.436189 + 0.899855i \(0.643672\pi\)
\(110\) −15.0339 + 26.0394i −1.43342 + 2.48276i
\(111\) −3.76233 −0.357104
\(112\) 0.286327 + 0.776069i 0.0270553 + 0.0733317i
\(113\) 16.6028 1.56186 0.780931 0.624617i \(-0.214745\pi\)
0.780931 + 0.624617i \(0.214745\pi\)
\(114\) −0.0573009 + 0.0992482i −0.00536673 + 0.00929544i
\(115\) 2.07560 + 3.59505i 0.193551 + 0.335240i
\(116\) −1.74154 3.01644i −0.161698 0.280069i
\(117\) −0.0878306 + 0.152127i −0.00811995 + 0.0140642i
\(118\) 14.5200 1.33668
\(119\) −3.45986 0.594434i −0.317165 0.0544916i
\(120\) 10.9912 1.00336
\(121\) 0.421334 0.729772i 0.0383031 0.0663429i
\(122\) −8.21867 14.2352i −0.744083 1.28879i
\(123\) 2.42359 + 4.19779i 0.218528 + 0.378502i
\(124\) 13.7843 23.8751i 1.23786 2.14404i
\(125\) 30.0236 2.68539
\(126\) −5.92609 1.01815i −0.527938 0.0907042i
\(127\) 17.8466 1.58363 0.791815 0.610761i \(-0.209136\pi\)
0.791815 + 0.610761i \(0.209136\pi\)
\(128\) −8.79403 + 15.2317i −0.777290 + 1.34631i
\(129\) −5.29788 9.17620i −0.466453 0.807920i
\(130\) 0.828622 + 1.43522i 0.0726750 + 0.125877i
\(131\) −10.7810 + 18.6732i −0.941940 + 1.63149i −0.180176 + 0.983634i \(0.557667\pi\)
−0.761765 + 0.647854i \(0.775667\pi\)
\(132\) 10.0871 0.877971
\(133\) −0.0461800 0.125168i −0.00400431 0.0108534i
\(134\) −13.6828 −1.18202
\(135\) 2.07560 3.59505i 0.178639 0.309412i
\(136\) −1.75659 3.04250i −0.150626 0.260892i
\(137\) −0.282766 0.489765i −0.0241583 0.0418434i 0.853693 0.520776i \(-0.174357\pi\)
−0.877852 + 0.478932i \(0.841024\pi\)
\(138\) 1.13633 1.96819i 0.0967313 0.167543i
\(139\) −19.5670 −1.65965 −0.829825 0.558024i \(-0.811560\pi\)
−0.829825 + 0.558024i \(0.811560\pi\)
\(140\) −22.2274 + 26.7267i −1.87856 + 2.25882i
\(141\) 8.95013 0.753737
\(142\) 7.63071 13.2168i 0.640355 1.10913i
\(143\) 0.279921 + 0.484838i 0.0234082 + 0.0405442i
\(144\) 0.156327 + 0.270766i 0.0130272 + 0.0225638i
\(145\) −2.28418 + 3.95632i −0.189691 + 0.328554i
\(146\) 10.4855 0.867783
\(147\) 5.32264 4.54637i 0.439004 0.374979i
\(148\) 11.9079 0.978821
\(149\) −3.76363 + 6.51880i −0.308329 + 0.534041i −0.977997 0.208619i \(-0.933103\pi\)
0.669668 + 0.742660i \(0.266436\pi\)
\(150\) −13.9002 24.0759i −1.13495 1.96579i
\(151\) 10.6811 + 18.5002i 0.869213 + 1.50552i 0.862802 + 0.505542i \(0.168708\pi\)
0.00641149 + 0.999979i \(0.497959\pi\)
\(152\) 0.0667572 0.115627i 0.00541472 0.00937858i
\(153\) −1.32687 −0.107271
\(154\) −12.2536 + 14.7340i −0.987421 + 1.18730i
\(155\) −36.1585 −2.90432
\(156\) 0.277986 0.481487i 0.0222567 0.0385498i
\(157\) −5.87970 10.1839i −0.469251 0.812767i 0.530131 0.847916i \(-0.322143\pi\)
−0.999382 + 0.0351487i \(0.988810\pi\)
\(158\) −17.5966 30.4783i −1.39991 2.42472i
\(159\) −4.98815 + 8.63972i −0.395586 + 0.685175i
\(160\) 24.9322 1.97106
\(161\) 0.915795 + 2.48220i 0.0721748 + 0.195625i
\(162\) −2.27267 −0.178558
\(163\) 7.66094 13.2691i 0.600051 1.03932i −0.392762 0.919640i \(-0.628480\pi\)
0.992813 0.119678i \(-0.0381864\pi\)
\(164\) −7.67075 13.2861i −0.598985 1.03747i
\(165\) −6.61506 11.4576i −0.514982 0.891975i
\(166\) 8.19413 14.1927i 0.635988 1.10156i
\(167\) −8.02472 −0.620972 −0.310486 0.950578i \(-0.600492\pi\)
−0.310486 + 0.950578i \(0.600492\pi\)
\(168\) 6.90406 + 1.18618i 0.532660 + 0.0915155i
\(169\) −12.9691 −0.997626
\(170\) −6.25903 + 10.8410i −0.480046 + 0.831464i
\(171\) −0.0252131 0.0436703i −0.00192809 0.00333955i
\(172\) 16.7679 + 29.0429i 1.27854 + 2.21450i
\(173\) −7.76126 + 13.4429i −0.590078 + 1.02205i 0.404143 + 0.914696i \(0.367570\pi\)
−0.994221 + 0.107349i \(0.965764\pi\)
\(174\) 2.50105 0.189604
\(175\) 31.8968 + 5.48014i 2.41117 + 0.414260i
\(176\) 0.996445 0.0751099
\(177\) −3.19449 + 5.53301i −0.240112 + 0.415887i
\(178\) −2.20616 3.82118i −0.165359 0.286410i
\(179\) −4.14140 7.17312i −0.309543 0.536144i 0.668720 0.743515i \(-0.266843\pi\)
−0.978262 + 0.207371i \(0.933509\pi\)
\(180\) −6.56934 + 11.3784i −0.489650 + 0.848098i
\(181\) −5.71189 −0.424561 −0.212281 0.977209i \(-0.568089\pi\)
−0.212281 + 0.977209i \(0.568089\pi\)
\(182\) 0.365604 + 0.990944i 0.0271004 + 0.0734537i
\(183\) 7.23261 0.534650
\(184\) −1.32386 + 2.29300i −0.0975964 + 0.169042i
\(185\) −7.80909 13.5257i −0.574136 0.994432i
\(186\) 9.89789 + 17.1437i 0.725749 + 1.25703i
\(187\) −2.11440 + 3.66224i −0.154620 + 0.267810i
\(188\) −28.3274 −2.06599
\(189\) 1.69175 2.03420i 0.123057 0.147966i
\(190\) −0.475736 −0.0345135
\(191\) 0.775762 1.34366i 0.0561322 0.0972238i −0.836594 0.547824i \(-0.815457\pi\)
0.892726 + 0.450600i \(0.148790\pi\)
\(192\) −6.51218 11.2794i −0.469976 0.814023i
\(193\) −3.66145 6.34182i −0.263557 0.456494i 0.703627 0.710569i \(-0.251562\pi\)
−0.967185 + 0.254075i \(0.918229\pi\)
\(194\) −14.5313 + 25.1690i −1.04329 + 1.80703i
\(195\) −0.729206 −0.0522195
\(196\) −16.8463 + 14.3894i −1.20331 + 1.02781i
\(197\) −6.84137 −0.487427 −0.243714 0.969847i \(-0.578366\pi\)
−0.243714 + 0.969847i \(0.578366\pi\)
\(198\) −3.62156 + 6.27273i −0.257373 + 0.445784i
\(199\) −3.82183 6.61961i −0.270922 0.469251i 0.698176 0.715926i \(-0.253995\pi\)
−0.969098 + 0.246675i \(0.920662\pi\)
\(200\) 16.1941 + 28.0491i 1.14510 + 1.98337i
\(201\) 3.01030 5.21399i 0.212330 0.367766i
\(202\) 3.74043 0.263176
\(203\) −1.86176 + 2.23862i −0.130670 + 0.157120i
\(204\) 4.19957 0.294028
\(205\) −10.0608 + 17.4259i −0.702679 + 1.21708i
\(206\) 10.2188 + 17.6994i 0.711976 + 1.23318i
\(207\) 0.500000 + 0.866025i 0.0347524 + 0.0601929i
\(208\) 0.0274606 0.0475631i 0.00190405 0.00329791i
\(209\) −0.160711 −0.0111166
\(210\) −8.63990 23.4179i −0.596210 1.61599i
\(211\) −4.69603 −0.323288 −0.161644 0.986849i \(-0.551680\pi\)
−0.161644 + 0.986849i \(0.551680\pi\)
\(212\) 15.7876 27.3450i 1.08430 1.87806i
\(213\) 3.35760 + 5.81553i 0.230059 + 0.398473i
\(214\) −21.5711 37.3623i −1.47457 2.55403i
\(215\) 21.9926 38.0923i 1.49988 2.59787i
\(216\) 2.64772 0.180155
\(217\) −22.7127 3.90223i −1.54184 0.264901i
\(218\) 26.6318 1.80373
\(219\) −2.30686 + 3.99560i −0.155883 + 0.269998i
\(220\) 20.9369 + 36.2637i 1.41156 + 2.44490i
\(221\) 0.116539 + 0.201852i 0.00783929 + 0.0135780i
\(222\) −4.27526 + 7.40497i −0.286937 + 0.496989i
\(223\) 24.2891 1.62652 0.813260 0.581900i \(-0.197690\pi\)
0.813260 + 0.581900i \(0.197690\pi\)
\(224\) 15.6609 + 2.69068i 1.04639 + 0.179779i
\(225\) 12.2325 0.815500
\(226\) 18.8664 32.6775i 1.25497 2.17368i
\(227\) −2.16652 3.75252i −0.143797 0.249063i 0.785127 0.619335i \(-0.212598\pi\)
−0.928923 + 0.370272i \(0.879264\pi\)
\(228\) 0.0798000 + 0.138218i 0.00528489 + 0.00915369i
\(229\) 6.22185 10.7766i 0.411152 0.712135i −0.583864 0.811851i \(-0.698460\pi\)
0.995016 + 0.0997158i \(0.0317934\pi\)
\(230\) 9.43432 0.622080
\(231\) −2.91869 7.91091i −0.192036 0.520500i
\(232\) −2.91380 −0.191300
\(233\) −1.62382 + 2.81254i −0.106380 + 0.184255i −0.914301 0.405035i \(-0.867259\pi\)
0.807921 + 0.589291i \(0.200593\pi\)
\(234\) 0.199610 + 0.345735i 0.0130489 + 0.0226014i
\(235\) 18.5769 + 32.1762i 1.21182 + 2.09894i
\(236\) 10.1106 17.5121i 0.658147 1.13994i
\(237\) 15.4854 1.00589
\(238\) −5.10152 + 6.13419i −0.330682 + 0.397621i
\(239\) 26.4823 1.71300 0.856500 0.516147i \(-0.172634\pi\)
0.856500 + 0.516147i \(0.172634\pi\)
\(240\) −0.648945 + 1.12401i −0.0418892 + 0.0725542i
\(241\) −1.28075 2.21832i −0.0825001 0.142894i 0.821823 0.569743i \(-0.192957\pi\)
−0.904323 + 0.426848i \(0.859624\pi\)
\(242\) −0.957553 1.65853i −0.0615539 0.106614i
\(243\) 0.500000 0.866025i 0.0320750 0.0555556i
\(244\) −22.8914 −1.46547
\(245\) 27.3921 + 9.69868i 1.75002 + 0.619626i
\(246\) 11.0161 0.702358
\(247\) −0.00442896 + 0.00767118i −0.000281808 + 0.000488105i
\(248\) −11.5313 19.9728i −0.732240 1.26828i
\(249\) 3.60551 + 6.24493i 0.228490 + 0.395756i
\(250\) 34.1168 59.0921i 2.15774 3.73731i
\(251\) 14.6123 0.922317 0.461159 0.887318i \(-0.347434\pi\)
0.461159 + 0.887318i \(0.347434\pi\)
\(252\) −5.35444 + 6.43831i −0.337298 + 0.405575i
\(253\) 3.18706 0.200369
\(254\) 20.2797 35.1255i 1.27246 2.20397i
\(255\) −2.75404 4.77014i −0.172465 0.298718i
\(256\) 6.96157 + 12.0578i 0.435098 + 0.753612i
\(257\) 2.56428 4.44147i 0.159956 0.277051i −0.774897 0.632088i \(-0.782198\pi\)
0.934852 + 0.355036i \(0.115532\pi\)
\(258\) −24.0807 −1.49920
\(259\) −3.44552 9.33885i −0.214094 0.580288i
\(260\) 2.30796 0.143133
\(261\) −0.550245 + 0.953053i −0.0340593 + 0.0589925i
\(262\) 24.5017 + 42.4381i 1.51372 + 2.62183i
\(263\) −1.62406 2.81296i −0.100144 0.173454i 0.811600 0.584214i \(-0.198597\pi\)
−0.911744 + 0.410759i \(0.865264\pi\)
\(264\) 4.21922 7.30791i 0.259675 0.449771i
\(265\) −41.4136 −2.54402
\(266\) −0.298830 0.0513415i −0.0183224 0.00314795i
\(267\) 1.94147 0.118816
\(268\) −9.52767 + 16.5024i −0.581995 + 1.00805i
\(269\) 2.41550 + 4.18377i 0.147276 + 0.255089i 0.930220 0.367003i \(-0.119616\pi\)
−0.782944 + 0.622092i \(0.786283\pi\)
\(270\) −4.71716 8.17036i −0.287077 0.497232i
\(271\) 6.06194 10.4996i 0.368236 0.637804i −0.621053 0.783768i \(-0.713295\pi\)
0.989290 + 0.145964i \(0.0466284\pi\)
\(272\) 0.414849 0.0251539
\(273\) −0.458045 0.0786960i −0.0277221 0.00476290i
\(274\) −1.28527 −0.0776458
\(275\) 19.4928 33.7626i 1.17546 2.03596i
\(276\) −1.58251 2.74099i −0.0952561 0.164988i
\(277\) 10.9507 + 18.9672i 0.657964 + 1.13963i 0.981142 + 0.193288i \(0.0619153\pi\)
−0.323178 + 0.946338i \(0.604751\pi\)
\(278\) −22.2346 + 38.5115i −1.33355 + 2.30977i
\(279\) −8.71037 −0.521476
\(280\) 10.0657 + 27.2825i 0.601542 + 1.63044i
\(281\) −24.2364 −1.44582 −0.722912 0.690940i \(-0.757197\pi\)
−0.722912 + 0.690940i \(0.757197\pi\)
\(282\) 10.1703 17.6156i 0.605635 1.04899i
\(283\) −2.57291 4.45641i −0.152943 0.264906i 0.779365 0.626570i \(-0.215542\pi\)
−0.932308 + 0.361665i \(0.882209\pi\)
\(284\) −10.6269 18.4063i −0.630590 1.09221i
\(285\) 0.104665 0.181284i 0.00619979 0.0107384i
\(286\) 1.27234 0.0752349
\(287\) −8.20024 + 9.86016i −0.484045 + 0.582027i
\(288\) 6.00601 0.353907
\(289\) 7.61971 13.1977i 0.448218 0.776337i
\(290\) 5.19119 + 8.99140i 0.304837 + 0.527993i
\(291\) −6.39394 11.0746i −0.374820 0.649207i
\(292\) 7.30128 12.6462i 0.427275 0.740062i
\(293\) −24.5374 −1.43349 −0.716745 0.697335i \(-0.754369\pi\)
−0.716745 + 0.697335i \(0.754369\pi\)
\(294\) −2.89983 15.6422i −0.169121 0.912270i
\(295\) −26.5219 −1.54417
\(296\) 4.98080 8.62700i 0.289503 0.501434i
\(297\) −1.59353 2.76007i −0.0924659 0.160156i
\(298\) 8.55349 + 14.8151i 0.495491 + 0.858215i
\(299\) 0.0878306 0.152127i 0.00507938 0.00879774i
\(300\) −38.7162 −2.23528
\(301\) 17.9254 21.5539i 1.03320 1.24235i
\(302\) 48.5491 2.79369
\(303\) −0.822915 + 1.42533i −0.0472752 + 0.0818831i
\(304\) 0.00788296 + 0.0136537i 0.000452119 + 0.000783092i
\(305\) 15.0120 + 26.0016i 0.859586 + 1.48885i
\(306\) −1.50776 + 2.61152i −0.0861931 + 0.149291i
\(307\) 7.16659 0.409019 0.204509 0.978865i \(-0.434440\pi\)
0.204509 + 0.978865i \(0.434440\pi\)
\(308\) 9.23774 + 25.0383i 0.526369 + 1.42669i
\(309\) −8.99275 −0.511580
\(310\) −41.0882 + 71.1668i −2.33365 + 4.04200i
\(311\) −2.93640 5.08599i −0.166508 0.288400i 0.770682 0.637220i \(-0.219916\pi\)
−0.937190 + 0.348820i \(0.886582\pi\)
\(312\) −0.232551 0.402791i −0.0131656 0.0228035i
\(313\) 1.90182 3.29405i 0.107497 0.186191i −0.807259 0.590198i \(-0.799050\pi\)
0.914756 + 0.404007i \(0.132383\pi\)
\(314\) −26.7252 −1.50819
\(315\) 10.8245 + 1.85973i 0.609889 + 0.104784i
\(316\) −49.0118 −2.75713
\(317\) −4.90142 + 8.48951i −0.275291 + 0.476818i −0.970209 0.242271i \(-0.922108\pi\)
0.694917 + 0.719090i \(0.255441\pi\)
\(318\) 11.3364 + 19.6352i 0.635714 + 1.10109i
\(319\) 1.75366 + 3.03743i 0.0981863 + 0.170064i
\(320\) 27.0334 46.8232i 1.51121 2.61750i
\(321\) 18.9831 1.05953
\(322\) 5.92609 + 1.01815i 0.330248 + 0.0567394i
\(323\) −0.0669087 −0.00372290
\(324\) −1.58251 + 2.74099i −0.0879174 + 0.152277i
\(325\) −1.07439 1.86089i −0.0595963 0.103224i
\(326\) −17.4108 30.1564i −0.964294 1.67021i
\(327\) −5.85913 + 10.1483i −0.324011 + 0.561203i
\(328\) −12.8340 −0.708640
\(329\) 8.19649 + 22.2160i 0.451887 + 1.22481i
\(330\) −30.0677 −1.65517
\(331\) 5.59480 9.69048i 0.307518 0.532637i −0.670301 0.742090i \(-0.733835\pi\)
0.977819 + 0.209452i \(0.0671682\pi\)
\(332\) −11.4115 19.7654i −0.626290 1.08477i
\(333\) −1.88116 3.25827i −0.103087 0.178552i
\(334\) −9.11877 + 15.7942i −0.498957 + 0.864219i
\(335\) 24.9927 1.36550
\(336\) −0.528932 + 0.636001i −0.0288556 + 0.0346967i
\(337\) −31.7991 −1.73221 −0.866103 0.499865i \(-0.833383\pi\)
−0.866103 + 0.499865i \(0.833383\pi\)
\(338\) −14.7373 + 25.5257i −0.801603 + 1.38842i
\(339\) 8.30141 + 14.3785i 0.450871 + 0.780931i
\(340\) 8.71663 + 15.0976i 0.472725 + 0.818785i
\(341\) −13.8802 + 24.0412i −0.751656 + 1.30191i
\(342\) −0.114602 −0.00619696
\(343\) 16.1595 + 9.04831i 0.872529 + 0.488563i
\(344\) 28.0547 1.51261
\(345\) −2.07560 + 3.59505i −0.111747 + 0.193551i
\(346\) 17.6388 + 30.5513i 0.948267 + 1.64245i
\(347\) 0.686942 + 1.18982i 0.0368770 + 0.0638728i 0.883875 0.467724i \(-0.154926\pi\)
−0.846998 + 0.531596i \(0.821592\pi\)
\(348\) 1.74154 3.01644i 0.0933564 0.161698i
\(349\) −6.43146 −0.344268 −0.172134 0.985074i \(-0.555066\pi\)
−0.172134 + 0.985074i \(0.555066\pi\)
\(350\) 47.0314 56.5517i 2.51393 3.02281i
\(351\) −0.175661 −0.00937611
\(352\) 9.57074 16.5770i 0.510122 0.883558i
\(353\) −12.8683 22.2885i −0.684910 1.18630i −0.973465 0.228835i \(-0.926508\pi\)
0.288555 0.957463i \(-0.406825\pi\)
\(354\) 7.26001 + 12.5747i 0.385865 + 0.668339i
\(355\) −13.9381 + 24.1414i −0.739756 + 1.28129i
\(356\) −6.14480 −0.325674
\(357\) −1.21514 3.29355i −0.0643119 0.174313i
\(358\) −18.8241 −0.994883
\(359\) 11.9817 20.7529i 0.632369 1.09530i −0.354697 0.934981i \(-0.615416\pi\)
0.987066 0.160314i \(-0.0512508\pi\)
\(360\) 5.49562 + 9.51870i 0.289645 + 0.501679i
\(361\) 9.49873 + 16.4523i 0.499933 + 0.865910i
\(362\) −6.49062 + 11.2421i −0.341139 + 0.590870i
\(363\) 0.842668 0.0442286
\(364\) 1.44972 + 0.249075i 0.0759862 + 0.0130551i
\(365\) −19.1525 −1.00249
\(366\) 8.21867 14.2352i 0.429597 0.744083i
\(367\) −12.8392 22.2381i −0.670199 1.16082i −0.977847 0.209319i \(-0.932875\pi\)
0.307648 0.951500i \(-0.400458\pi\)
\(368\) −0.156327 0.270766i −0.00814910 0.0141147i
\(369\) −2.42359 + 4.19779i −0.126167 + 0.218528i
\(370\) −35.4950 −1.84530
\(371\) −26.0136 4.46936i −1.35056 0.232038i
\(372\) 27.5686 1.42936
\(373\) −2.90046 + 5.02374i −0.150180 + 0.260120i −0.931294 0.364270i \(-0.881319\pi\)
0.781113 + 0.624389i \(0.214652\pi\)
\(374\) 4.80533 + 8.32307i 0.248478 + 0.430376i
\(375\) 15.0118 + 26.0012i 0.775205 + 1.34269i
\(376\) −11.8487 + 20.5226i −0.611052 + 1.05837i
\(377\) 0.193314 0.00995616
\(378\) −2.08130 5.64122i −0.107051 0.290153i
\(379\) 21.0504 1.08129 0.540643 0.841252i \(-0.318181\pi\)
0.540643 + 0.841252i \(0.318181\pi\)
\(380\) −0.331266 + 0.573770i −0.0169936 + 0.0294338i
\(381\) 8.92330 + 15.4556i 0.457155 + 0.791815i
\(382\) −1.76305 3.05369i −0.0902056 0.156241i
\(383\) 2.41145 4.17675i 0.123219 0.213422i −0.797816 0.602901i \(-0.794012\pi\)
0.921035 + 0.389479i \(0.127345\pi\)
\(384\) −17.5881 −0.897537
\(385\) 22.3821 26.9127i 1.14070 1.37160i
\(386\) −16.6425 −0.847083
\(387\) 5.29788 9.17620i 0.269307 0.466453i
\(388\) 20.2370 + 35.0515i 1.02738 + 1.77947i
\(389\) 9.77072 + 16.9234i 0.495395 + 0.858049i 0.999986 0.00530928i \(-0.00169000\pi\)
−0.504591 + 0.863359i \(0.668357\pi\)
\(390\) −0.828622 + 1.43522i −0.0419589 + 0.0726750i
\(391\) 1.32687 0.0671025
\(392\) 3.37838 + 18.2236i 0.170634 + 0.920429i
\(393\) −21.5620 −1.08766
\(394\) −7.77408 + 13.4651i −0.391653 + 0.678362i
\(395\) 32.1416 + 55.6709i 1.61722 + 2.80111i
\(396\) 5.04356 + 8.73571i 0.253449 + 0.438986i
\(397\) −18.2925 + 31.6835i −0.918072 + 1.59015i −0.115733 + 0.993280i \(0.536922\pi\)
−0.802340 + 0.596868i \(0.796412\pi\)
\(398\) −17.3715 −0.870756
\(399\) 0.0853084 0.102577i 0.00427076 0.00513527i
\(400\) −3.82454 −0.191227
\(401\) 2.33744 4.04856i 0.116726 0.202176i −0.801742 0.597670i \(-0.796093\pi\)
0.918468 + 0.395494i \(0.129427\pi\)
\(402\) −6.84141 11.8497i −0.341219 0.591008i
\(403\) 0.765037 + 1.32508i 0.0381092 + 0.0660071i
\(404\) 2.60455 4.51121i 0.129581 0.224441i
\(405\) 4.15120 0.206275
\(406\) 2.29045 + 6.20811i 0.113673 + 0.308103i
\(407\) −11.9907 −0.594359
\(408\) 1.75659 3.04250i 0.0869640 0.150626i
\(409\) −5.50296 9.53141i −0.272104 0.471298i 0.697296 0.716783i \(-0.254386\pi\)
−0.969400 + 0.245485i \(0.921053\pi\)
\(410\) 22.8650 + 39.6033i 1.12922 + 1.95587i
\(411\) 0.282766 0.489765i 0.0139478 0.0241583i
\(412\) 28.4623 1.40224
\(413\) −16.6595 2.86225i −0.819763 0.140842i
\(414\) 2.27267 0.111696
\(415\) −14.9672 + 25.9240i −0.734711 + 1.27256i
\(416\) −0.527511 0.913677i −0.0258634 0.0447967i
\(417\) −9.78349 16.9455i −0.479100 0.829825i
\(418\) −0.182621 + 0.316310i −0.00893230 + 0.0154712i
\(419\) 18.8771 0.922206 0.461103 0.887347i \(-0.347454\pi\)
0.461103 + 0.887347i \(0.347454\pi\)
\(420\) −34.2597 5.88611i −1.67170 0.287213i
\(421\) −10.1341 −0.493905 −0.246952 0.969028i \(-0.579429\pi\)
−0.246952 + 0.969028i \(0.579429\pi\)
\(422\) −5.33627 + 9.24269i −0.259765 + 0.449927i
\(423\) 4.47507 + 7.75104i 0.217585 + 0.376869i
\(424\) −13.2072 22.8756i −0.641400 1.11094i
\(425\) 8.11544 14.0563i 0.393656 0.681833i
\(426\) 15.2614 0.739418
\(427\) 6.62359 + 17.9528i 0.320538 + 0.868797i
\(428\) −60.0819 −2.90417
\(429\) −0.279921 + 0.484838i −0.0135147 + 0.0234082i
\(430\) −49.9819 86.5712i −2.41034 4.17483i
\(431\) −3.93591 6.81720i −0.189586 0.328373i 0.755526 0.655119i \(-0.227381\pi\)
−0.945112 + 0.326745i \(0.894048\pi\)
\(432\) −0.156327 + 0.270766i −0.00752128 + 0.0130272i
\(433\) −20.5867 −0.989335 −0.494668 0.869082i \(-0.664710\pi\)
−0.494668 + 0.869082i \(0.664710\pi\)
\(434\) −33.4895 + 40.2686i −1.60755 + 1.93296i
\(435\) −4.56836 −0.219036
\(436\) 18.5443 32.1197i 0.888112 1.53826i
\(437\) 0.0252131 + 0.0436703i 0.00120610 + 0.00208903i
\(438\) 5.24273 + 9.08068i 0.250507 + 0.433892i
\(439\) −16.8339 + 29.1571i −0.803437 + 1.39159i 0.113904 + 0.993492i \(0.463664\pi\)
−0.917341 + 0.398102i \(0.869669\pi\)
\(440\) 35.0297 1.66998
\(441\) 6.59859 + 2.33635i 0.314219 + 0.111255i
\(442\) 0.529711 0.0251958
\(443\) −3.66764 + 6.35254i −0.174255 + 0.301818i −0.939903 0.341441i \(-0.889085\pi\)
0.765648 + 0.643259i \(0.222418\pi\)
\(444\) 5.95393 + 10.3125i 0.282561 + 0.489410i
\(445\) 4.02972 + 6.97968i 0.191027 + 0.330868i
\(446\) 27.6006 47.8056i 1.30693 2.26366i
\(447\) −7.52726 −0.356027
\(448\) 22.0340 26.4942i 1.04101 1.25173i
\(449\) −21.1508 −0.998170 −0.499085 0.866553i \(-0.666330\pi\)
−0.499085 + 0.866553i \(0.666330\pi\)
\(450\) 13.9002 24.0759i 0.655262 1.13495i
\(451\) 7.72413 + 13.3786i 0.363715 + 0.629973i
\(452\) −26.2742 45.5083i −1.23583 2.14053i
\(453\) −10.6811 + 18.5002i −0.501841 + 0.869213i
\(454\) −9.84755 −0.462168
\(455\) −0.667803 1.81004i −0.0313071 0.0848558i
\(456\) 0.133514 0.00625239
\(457\) −4.48391 + 7.76636i −0.209748 + 0.363295i −0.951635 0.307230i \(-0.900598\pi\)
0.741887 + 0.670525i \(0.233931\pi\)
\(458\) −14.1402 24.4916i −0.660729 1.14442i
\(459\) −0.663433 1.14910i −0.0309664 0.0536354i
\(460\) 6.56934 11.3784i 0.306297 0.530522i
\(461\) 6.30195 0.293511 0.146756 0.989173i \(-0.453117\pi\)
0.146756 + 0.989173i \(0.453117\pi\)
\(462\) −18.8868 3.24491i −0.878693 0.150967i
\(463\) −15.1092 −0.702183 −0.351092 0.936341i \(-0.614189\pi\)
−0.351092 + 0.936341i \(0.614189\pi\)
\(464\) 0.172036 0.297976i 0.00798658 0.0138332i
\(465\) −18.0793 31.3142i −0.838405 1.45216i
\(466\) 3.69041 + 6.39197i 0.170955 + 0.296102i
\(467\) 9.48025 16.4203i 0.438694 0.759840i −0.558895 0.829238i \(-0.688775\pi\)
0.997589 + 0.0693985i \(0.0221080\pi\)
\(468\) 0.555973 0.0256999
\(469\) 15.6990 + 2.69722i 0.724911 + 0.124546i
\(470\) 84.4384 3.89485
\(471\) 5.87970 10.1839i 0.270922 0.469251i
\(472\) −8.45812 14.6499i −0.389317 0.674316i
\(473\) −16.8847 29.2451i −0.776357 1.34469i
\(474\) 17.5966 30.4783i 0.808240 1.39991i
\(475\) 0.616837 0.0283024
\(476\) 3.84594 + 10.4242i 0.176278 + 0.477791i
\(477\) −9.97629 −0.456783
\(478\) 30.0928 52.1223i 1.37641 2.38402i
\(479\) 14.2886 + 24.7486i 0.652862 + 1.13079i 0.982425 + 0.186657i \(0.0597653\pi\)
−0.329563 + 0.944134i \(0.606901\pi\)
\(480\) 12.4661 + 21.5919i 0.568996 + 0.985530i
\(481\) −0.330447 + 0.572352i −0.0150671 + 0.0260970i
\(482\) −5.82143 −0.265159
\(483\) −1.69175 + 2.03420i −0.0769773 + 0.0925594i
\(484\) −2.66707 −0.121230
\(485\) 26.5426 45.9731i 1.20524 2.08753i
\(486\) −1.13633 1.96819i −0.0515452 0.0892789i
\(487\) −12.4964 21.6443i −0.566264 0.980799i −0.996931 0.0782875i \(-0.975055\pi\)
0.430666 0.902511i \(-0.358279\pi\)
\(488\) −9.57498 + 16.5844i −0.433439 + 0.750738i
\(489\) 15.3219 0.692879
\(490\) 50.2155 42.8919i 2.26850 1.93766i
\(491\) −22.0515 −0.995170 −0.497585 0.867415i \(-0.665780\pi\)
−0.497585 + 0.867415i \(0.665780\pi\)
\(492\) 7.67075 13.2861i 0.345824 0.598985i
\(493\) 0.730101 + 1.26457i 0.0328821 + 0.0569535i
\(494\) 0.0100656 + 0.0174341i 0.000452871 + 0.000784395i
\(495\) 6.61506 11.4576i 0.297325 0.514982i
\(496\) 2.72333 0.122281
\(497\) −11.3604 + 13.6601i −0.509585 + 0.612737i
\(498\) 16.3883 0.734376
\(499\) 19.7125 34.1431i 0.882455 1.52846i 0.0338517 0.999427i \(-0.489223\pi\)
0.848603 0.529030i \(-0.177444\pi\)
\(500\) −47.5127 82.2944i −2.12483 3.68032i
\(501\) −4.01236 6.94961i −0.179259 0.310486i
\(502\) 16.6044 28.7597i 0.741091 1.28361i
\(503\) −31.3079 −1.39595 −0.697975 0.716122i \(-0.745915\pi\)
−0.697975 + 0.716122i \(0.745915\pi\)
\(504\) 2.42477 + 6.57218i 0.108008 + 0.292748i
\(505\) −6.83218 −0.304028
\(506\) 3.62156 6.27273i 0.160998 0.278857i
\(507\) −6.48457 11.2316i −0.287990 0.498813i
\(508\) −28.2425 48.9174i −1.25306 2.17036i
\(509\) −7.73301 + 13.3940i −0.342760 + 0.593677i −0.984944 0.172873i \(-0.944695\pi\)
0.642184 + 0.766550i \(0.278028\pi\)
\(510\) −12.5181 −0.554309
\(511\) −12.0305 2.06694i −0.532198 0.0914360i
\(512\) −3.53344 −0.156158
\(513\) 0.0252131 0.0436703i 0.00111318 0.00192809i
\(514\) −5.82777 10.0940i −0.257052 0.445227i
\(515\) −18.6654 32.3294i −0.822495 1.42460i
\(516\) −16.7679 + 29.0429i −0.738168 + 1.27854i
\(517\) 28.5246 1.25451
\(518\) −22.2959 3.83062i −0.979625 0.168308i
\(519\) −15.5225 −0.681363
\(520\) 0.965368 1.67207i 0.0423342 0.0733250i
\(521\) 3.40802 + 5.90287i 0.149308 + 0.258609i 0.930972 0.365091i \(-0.118962\pi\)
−0.781664 + 0.623700i \(0.785629\pi\)
\(522\) 1.25053 + 2.16597i 0.0547340 + 0.0948021i
\(523\) 4.26780 7.39205i 0.186618 0.323232i −0.757503 0.652832i \(-0.773581\pi\)
0.944121 + 0.329600i \(0.106914\pi\)
\(524\) 68.2443 2.98127
\(525\) 11.2025 + 30.3635i 0.488915 + 1.32517i
\(526\) −7.38192 −0.321867
\(527\) −5.77874 + 10.0091i −0.251726 + 0.436002i
\(528\) 0.498223 + 0.862947i 0.0216824 + 0.0375549i
\(529\) −0.500000 0.866025i −0.0217391 0.0376533i
\(530\) −47.0597 + 81.5099i −2.04414 + 3.54056i
\(531\) −6.38897 −0.277258
\(532\) −0.270004 + 0.324659i −0.0117061 + 0.0140757i
\(533\) 0.851464 0.0368810
\(534\) 2.20616 3.82118i 0.0954698 0.165359i
\(535\) 39.4013 + 68.2450i 1.70347 + 2.95049i
\(536\) 7.97043 + 13.8052i 0.344270 + 0.596294i
\(537\) 4.14140 7.17312i 0.178715 0.309543i
\(538\) 10.9793 0.473350
\(539\) 16.9636 14.4896i 0.730672 0.624109i
\(540\) −13.1387 −0.565399
\(541\) −0.617312 + 1.06921i −0.0265403 + 0.0459691i −0.878990 0.476839i \(-0.841782\pi\)
0.852450 + 0.522808i \(0.175116\pi\)
\(542\) −13.7768 23.8621i −0.591763 1.02496i
\(543\) −2.85594 4.94664i −0.122560 0.212281i
\(544\) 3.98458 6.90150i 0.170837 0.295899i
\(545\) −48.6449 −2.08372
\(546\) −0.675381 + 0.812094i −0.0289036 + 0.0347544i
\(547\) 26.1193 1.11678 0.558390 0.829578i \(-0.311419\pi\)
0.558390 + 0.829578i \(0.311419\pi\)
\(548\) −0.894962 + 1.55012i −0.0382309 + 0.0662178i
\(549\) 3.61631 + 6.26363i 0.154340 + 0.267325i
\(550\) −44.3008 76.7312i −1.88899 3.27183i
\(551\) −0.0277467 + 0.0480587i −0.00118205 + 0.00204737i
\(552\) −2.64772 −0.112695
\(553\) 14.1815 + 38.4380i 0.603058 + 1.63455i
\(554\) 49.7746 2.11472
\(555\) 7.80909 13.5257i 0.331477 0.574136i
\(556\) 30.9650 + 53.6330i 1.31321 + 2.27455i
\(557\) 12.8872 + 22.3213i 0.546049 + 0.945785i 0.998540 + 0.0540157i \(0.0172021\pi\)
−0.452491 + 0.891769i \(0.649465\pi\)
\(558\) −9.89789 + 17.1437i −0.419011 + 0.725749i
\(559\) −1.86127 −0.0787232
\(560\) −3.38431 0.581452i −0.143013 0.0245709i
\(561\) −4.22880 −0.178540
\(562\) −27.5407 + 47.7019i −1.16173 + 2.01218i
\(563\) −5.57519 9.65651i −0.234966 0.406973i 0.724297 0.689488i \(-0.242165\pi\)
−0.959263 + 0.282515i \(0.908831\pi\)
\(564\) −14.1637 24.5323i −0.596400 1.03299i
\(565\) −34.4609 + 59.6880i −1.44978 + 2.51109i
\(566\) −11.6947 −0.491567
\(567\) 2.60755 + 0.447998i 0.109507 + 0.0188142i
\(568\) −17.7800 −0.746031
\(569\) 4.74876 8.22509i 0.199078 0.344814i −0.749152 0.662399i \(-0.769539\pi\)
0.948230 + 0.317585i \(0.102872\pi\)
\(570\) −0.237868 0.411999i −0.00996319 0.0172568i
\(571\) 12.7812 + 22.1378i 0.534878 + 0.926436i 0.999169 + 0.0407535i \(0.0129758\pi\)
−0.464291 + 0.885683i \(0.653691\pi\)
\(572\) 0.885959 1.53453i 0.0370438 0.0641617i
\(573\) 1.55152 0.0648159
\(574\) 10.0885 + 27.3441i 0.421084 + 1.14132i
\(575\) −12.2325 −0.510130
\(576\) 6.51218 11.2794i 0.271341 0.469976i
\(577\) −7.67828 13.2992i −0.319651 0.553652i 0.660764 0.750594i \(-0.270232\pi\)
−0.980415 + 0.196942i \(0.936899\pi\)
\(578\) −17.3171 29.9941i −0.720296 1.24759i
\(579\) 3.66145 6.34182i 0.152165 0.263557i
\(580\) 14.4590 0.600377
\(581\) −12.1992 + 14.6687i −0.506110 + 0.608559i
\(582\) −29.0626 −1.20469
\(583\) −15.8975 + 27.5353i −0.658407 + 1.14040i
\(584\) −6.10793 10.5792i −0.252748 0.437772i
\(585\) −0.364603 0.631511i −0.0150745 0.0261098i
\(586\) −27.8827 + 48.2943i −1.15182 + 1.99502i
\(587\) −2.88985 −0.119277 −0.0596384 0.998220i \(-0.518995\pi\)
−0.0596384 + 0.998220i \(0.518995\pi\)
\(588\) −20.8847 7.39462i −0.861272 0.304949i
\(589\) −0.439230 −0.0180982
\(590\) −30.1378 + 52.2002i −1.24075 + 2.14905i
\(591\) −3.42068 5.92480i −0.140708 0.243714i
\(592\) 0.588153 + 1.01871i 0.0241729 + 0.0418687i
\(593\) −10.4889 + 18.1673i −0.430727 + 0.746041i −0.996936 0.0782203i \(-0.975076\pi\)
0.566209 + 0.824262i \(0.308410\pi\)
\(594\) −7.24313 −0.297189
\(595\) 9.31832 11.2046i 0.382014 0.459342i
\(596\) 23.8240 0.975869
\(597\) 3.82183 6.61961i 0.156417 0.270922i
\(598\) −0.199610 0.345735i −0.00816266 0.0141381i
\(599\) −4.05406 7.02184i −0.165644 0.286905i 0.771240 0.636545i \(-0.219637\pi\)
−0.936884 + 0.349640i \(0.886304\pi\)
\(600\) −16.1941 + 28.0491i −0.661123 + 1.14510i
\(601\) 31.3113 1.27721 0.638607 0.769533i \(-0.279511\pi\)
0.638607 + 0.769533i \(0.279511\pi\)
\(602\) −22.0530 59.7731i −0.898812 2.43617i
\(603\) 6.02059 0.245178
\(604\) 33.8059 58.5535i 1.37554 2.38251i
\(605\) 1.74904 + 3.02943i 0.0711087 + 0.123164i
\(606\) 1.87021 + 3.23931i 0.0759723 + 0.131588i
\(607\) 12.8283 22.2193i 0.520685 0.901852i −0.479026 0.877801i \(-0.659010\pi\)
0.999711 0.0240514i \(-0.00765654\pi\)
\(608\) 0.302860 0.0122826
\(609\) −2.86958 0.493018i −0.116281 0.0199781i
\(610\) 68.2348 2.76274
\(611\) 0.786096 1.36156i 0.0318020 0.0550827i
\(612\) 2.09978 + 3.63693i 0.0848787 + 0.147014i
\(613\) −14.6981 25.4579i −0.593651 1.02823i −0.993736 0.111756i \(-0.964353\pi\)
0.400084 0.916478i \(-0.368981\pi\)
\(614\) 8.14364 14.1052i 0.328651 0.569240i
\(615\) −20.1217 −0.811384
\(616\) 22.0036 + 3.78041i 0.886552 + 0.152317i
\(617\) 36.1711 1.45619 0.728097 0.685474i \(-0.240405\pi\)
0.728097 + 0.685474i \(0.240405\pi\)
\(618\) −10.2188 + 17.6994i −0.411060 + 0.711976i
\(619\) 11.4789 + 19.8821i 0.461376 + 0.799127i 0.999030 0.0440388i \(-0.0140225\pi\)
−0.537654 + 0.843166i \(0.680689\pi\)
\(620\) 57.2214 + 99.1103i 2.29806 + 3.98037i
\(621\) −0.500000 + 0.866025i −0.0200643 + 0.0347524i
\(622\) −13.3469 −0.535163
\(623\) 1.77799 + 4.81912i 0.0712336 + 0.193074i
\(624\) 0.0549212 0.00219861
\(625\) −31.7357 + 54.9679i −1.26943 + 2.19872i
\(626\) −4.32221 7.48628i −0.172750 0.299212i
\(627\) −0.0803554 0.139180i −0.00320909 0.00555830i
\(628\) −18.6094 + 32.2325i −0.742597 + 1.28622i
\(629\) −4.99210 −0.199048
\(630\) 15.9605 19.1913i 0.635882 0.764600i
\(631\) −13.3609 −0.531890 −0.265945 0.963988i \(-0.585684\pi\)
−0.265945 + 0.963988i \(0.585684\pi\)
\(632\) −20.5006 + 35.5080i −0.815469 + 1.41243i
\(633\) −2.34802 4.06688i −0.0933253 0.161644i
\(634\) 11.1393 + 19.2939i 0.442399 + 0.766257i
\(635\) −37.0424 + 64.1594i −1.46998 + 2.54609i
\(636\) 31.5752 1.25204
\(637\) −0.224136 1.20903i −0.00888059 0.0479035i
\(638\) 7.97099 0.315575
\(639\) −3.35760 + 5.81553i −0.132824 + 0.230059i
\(640\) −36.5058 63.2299i −1.44302 2.49938i
\(641\) 17.5479 + 30.3939i 0.693102 + 1.20049i 0.970816 + 0.239824i \(0.0770898\pi\)
−0.277714 + 0.960664i \(0.589577\pi\)
\(642\) 21.5711 37.3623i 0.851344 1.47457i
\(643\) 15.1822 0.598726 0.299363 0.954139i \(-0.403226\pi\)
0.299363 + 0.954139i \(0.403226\pi\)
\(644\) 5.35444 6.43831i 0.210994 0.253705i
\(645\) 43.9852 1.73191
\(646\) −0.0760306 + 0.131689i −0.00299139 + 0.00518123i
\(647\) −10.0328 17.3773i −0.394430 0.683174i 0.598598 0.801050i \(-0.295725\pi\)
−0.993028 + 0.117876i \(0.962391\pi\)
\(648\) 1.32386 + 2.29300i 0.0520062 + 0.0900774i
\(649\) −10.1810 + 17.6340i −0.399640 + 0.692196i
\(650\) −4.88346 −0.191545
\(651\) −7.97691 21.6209i −0.312640 0.847389i
\(652\) −48.4942 −1.89918
\(653\) 2.06883 3.58331i 0.0809594 0.140226i −0.822703 0.568472i \(-0.807535\pi\)
0.903662 + 0.428246i \(0.140868\pi\)
\(654\) 13.3159 + 23.0638i 0.520692 + 0.901865i
\(655\) −44.7541 77.5164i −1.74869 3.02882i
\(656\) 0.757746 1.31245i 0.0295850 0.0512427i
\(657\) −4.61372 −0.179998
\(658\) 53.0393 + 9.11260i 2.06769 + 0.355246i
\(659\) 14.7450 0.574383 0.287192 0.957873i \(-0.407278\pi\)
0.287192 + 0.957873i \(0.407278\pi\)
\(660\) −20.9369 + 36.2637i −0.814966 + 1.41156i
\(661\) −12.9996 22.5159i −0.505625 0.875768i −0.999979 0.00650733i \(-0.997929\pi\)
0.494354 0.869261i \(-0.335405\pi\)
\(662\) −12.7151 22.0233i −0.494188 0.855959i
\(663\) −0.116539 + 0.201852i −0.00452602 + 0.00783929i
\(664\) −19.0928 −0.740944
\(665\) 0.545835 + 0.0937791i 0.0211666 + 0.00363660i
\(666\) −8.55052 −0.331326
\(667\) 0.550245 0.953053i 0.0213056 0.0369024i
\(668\) 12.6992 + 21.9957i 0.491348 + 0.851040i
\(669\) 12.1446 + 21.0350i 0.469536 + 0.813260i
\(670\) 28.4001 49.1904i 1.09719 1.90039i
\(671\) 23.0507 0.889864
\(672\) 5.50027 + 14.9081i 0.212178 + 0.575093i
\(673\) 8.46300 0.326225 0.163112 0.986608i \(-0.447847\pi\)
0.163112 + 0.986608i \(0.447847\pi\)
\(674\) −36.1344 + 62.5866i −1.39185 + 2.41075i
\(675\) 6.11625 + 10.5937i 0.235414 + 0.407750i
\(676\) 20.5239 + 35.5484i 0.789379 + 1.36724i
\(677\) −9.36149 + 16.2146i −0.359791 + 0.623177i −0.987926 0.154928i \(-0.950485\pi\)
0.628134 + 0.778105i \(0.283819\pi\)
\(678\) 37.7327 1.44912
\(679\) 21.6339 26.0132i 0.830234 0.998293i
\(680\) 14.5839 0.559267
\(681\) 2.16652 3.75252i 0.0830211 0.143797i
\(682\) 31.5452 + 54.6378i 1.20793 + 2.09219i
\(683\) 0.150927 + 0.261414i 0.00577508 + 0.0100027i 0.868899 0.494990i \(-0.164828\pi\)
−0.863123 + 0.504993i \(0.831495\pi\)
\(684\) −0.0798000 + 0.138218i −0.00305123 + 0.00528489i
\(685\) 2.34764 0.0896986
\(686\) 36.1713 21.5230i 1.38103 0.821751i
\(687\) 12.4437 0.474757
\(688\) −1.65640 + 2.86897i −0.0631498 + 0.109379i
\(689\) 0.876224 + 1.51766i 0.0333815 + 0.0578184i
\(690\) 4.71716 + 8.17036i 0.179579 + 0.311040i
\(691\) 15.7619 27.3004i 0.599610 1.03855i −0.393269 0.919424i \(-0.628656\pi\)
0.992879 0.119131i \(-0.0380108\pi\)
\(692\) 49.1292 1.86761
\(693\) 5.39171 6.48312i 0.204814 0.246273i
\(694\) 3.12238 0.118524
\(695\) 40.6133 70.3443i 1.54055 2.66831i
\(696\) −1.45690 2.52342i −0.0552236 0.0956500i
\(697\) 3.21578 + 5.56990i 0.121806 + 0.210975i
\(698\) −7.30829 + 12.6583i −0.276623 + 0.479125i
\(699\) −3.24764 −0.122837
\(700\) −35.4561 96.1013i −1.34011 3.63229i
\(701\) −17.6579 −0.666928 −0.333464 0.942763i \(-0.608218\pi\)
−0.333464 + 0.942763i \(0.608218\pi\)
\(702\) −0.199610 + 0.345735i −0.00753380 + 0.0130489i
\(703\) −0.0948597 0.164302i −0.00357770 0.00619676i
\(704\) −20.7547 35.9482i −0.782222 1.35485i
\(705\) −18.5769 + 32.1762i −0.699647 + 1.21182i
\(706\) −58.4907 −2.20133
\(707\) −4.29158 0.737329i −0.161401 0.0277301i
\(708\) 20.2213 0.759962
\(709\) −3.86961 + 6.70235i −0.145326 + 0.251712i −0.929495 0.368836i \(-0.879756\pi\)
0.784168 + 0.620548i \(0.213090\pi\)
\(710\) 31.6766 + 54.8655i 1.18880 + 2.05907i
\(711\) 7.74272 + 13.4108i 0.290375 + 0.502944i
\(712\) −2.57024 + 4.45178i −0.0963237 + 0.166838i
\(713\) 8.71037 0.326206
\(714\) −7.86313 1.35095i −0.294270 0.0505581i
\(715\) −2.32402 −0.0869134
\(716\) −13.1077 + 22.7031i −0.489856 + 0.848455i
\(717\) 13.2412 + 22.9344i 0.494501 + 0.856500i
\(718\) −27.2304 47.1645i −1.01623 1.76016i
\(719\) 11.7071 20.2773i 0.436602 0.756216i −0.560823 0.827936i \(-0.689515\pi\)
0.997425 + 0.0717194i \(0.0228486\pi\)
\(720\) −1.29789 −0.0483695
\(721\) −8.23552 22.3218i −0.306707 0.831308i
\(722\) 43.1749 1.60681
\(723\) 1.28075 2.21832i 0.0476315 0.0825001i
\(724\) 9.03914 + 15.6563i 0.335937 + 0.581860i
\(725\) −6.73087 11.6582i −0.249978 0.432975i
\(726\) 0.957553 1.65853i 0.0355381 0.0615539i
\(727\) −43.6574 −1.61916 −0.809582 0.587007i \(-0.800306\pi\)
−0.809582 + 0.587007i \(0.800306\pi\)
\(728\) 0.786838 0.946113i 0.0291621 0.0350653i
\(729\) 1.00000 0.0370370
\(730\) −21.7636 + 37.6957i −0.805509 + 1.39518i
\(731\) −7.02958 12.1756i −0.259998 0.450330i
\(732\) −11.4457 19.8246i −0.423046 0.732737i
\(733\) 21.1238 36.5875i 0.780226 1.35139i −0.151584 0.988444i \(-0.548437\pi\)
0.931810 0.362947i \(-0.118229\pi\)
\(734\) −58.3584 −2.15405
\(735\) 5.29675 + 28.5716i 0.195374 + 1.05388i
\(736\) −6.00601 −0.221384
\(737\) 9.59399 16.6173i 0.353399 0.612105i
\(738\) 5.50803 + 9.54019i 0.202753 + 0.351179i
\(739\) 19.6253 + 33.9921i 0.721929 + 1.25042i 0.960226 + 0.279225i \(0.0900777\pi\)
−0.238296 + 0.971192i \(0.576589\pi\)
\(740\) −24.7160 + 42.8094i −0.908578 + 1.57370i
\(741\) −0.00885791 −0.000325404
\(742\) −38.3568 + 46.1211i −1.40812 + 1.69316i
\(743\) 20.7027 0.759507 0.379754 0.925088i \(-0.376009\pi\)
0.379754 + 0.925088i \(0.376009\pi\)
\(744\) 11.5313 19.9728i 0.422759 0.732240i
\(745\) −15.6236 27.0609i −0.572405 0.991434i
\(746\) 6.59179 + 11.4173i 0.241342 + 0.418017i
\(747\) −3.60551 + 6.24493i −0.131919 + 0.228490i
\(748\) 13.3843 0.489377
\(749\) 17.3846 + 47.1198i 0.635219 + 1.72172i
\(750\) 68.2336 2.49154
\(751\) 0.0315813 0.0547004i 0.00115242 0.00199605i −0.865449 0.500998i \(-0.832967\pi\)
0.866601 + 0.499002i \(0.166300\pi\)
\(752\) −1.39915 2.42339i −0.0510216 0.0883720i
\(753\) 7.30613 + 12.6546i 0.266250 + 0.461159i
\(754\) 0.219669 0.380478i 0.00799987 0.0138562i
\(755\) −88.6786 −3.22735
\(756\) −8.25296 1.41793i −0.300157 0.0515695i
\(757\) 37.1805 1.35135 0.675673 0.737201i \(-0.263853\pi\)
0.675673 + 0.737201i \(0.263853\pi\)
\(758\) 23.9203 41.4312i 0.868824 1.50485i
\(759\) 1.59353 + 2.76007i 0.0578414 + 0.100184i
\(760\) 0.277123 + 0.479991i 0.0100523 + 0.0174111i
\(761\) 14.1534 24.5144i 0.513059 0.888645i −0.486826 0.873499i \(-0.661845\pi\)
0.999885 0.0151458i \(-0.00482125\pi\)
\(762\) 40.5594 1.46931
\(763\) −30.5559 5.24977i −1.10620 0.190054i
\(764\) −4.91062 −0.177660
\(765\) 2.75404 4.77014i 0.0995727 0.172465i
\(766\) −5.48042 9.49236i −0.198016 0.342973i
\(767\) 0.561148 + 0.971936i 0.0202619 + 0.0350946i
\(768\) −6.96157 + 12.0578i −0.251204 + 0.435098i
\(769\) 7.54568 0.272104 0.136052 0.990702i \(-0.456559\pi\)
0.136052 + 0.990702i \(0.456559\pi\)
\(770\) −27.5359 74.6341i −0.992323 2.68963i
\(771\) 5.12857 0.184701
\(772\) −11.5886 + 20.0720i −0.417083 + 0.722409i
\(773\) 9.19756 + 15.9306i 0.330813 + 0.572985i 0.982672 0.185356i \(-0.0593437\pi\)
−0.651858 + 0.758341i \(0.726010\pi\)
\(774\) −12.0403 20.8545i −0.432781 0.749599i
\(775\) 53.2748 92.2746i 1.91369 3.31460i
\(776\) 33.8588 1.21546
\(777\) 6.36492 7.65333i 0.228340 0.274562i
\(778\)