Properties

Label 570.2.q.b.349.5
Level $570$
Weight $2$
Character 570.349
Analytic conductor $4.551$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 570 = 2 \cdot 3 \cdot 5 \cdot 19 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 570.q (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.55147291521\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(\zeta_{6})\)
Coefficient field: 12.0.89539436150784.1
Defining polynomial: \(x^{12} - 2 x^{11} + 2 x^{10} - 8 x^{9} + 4 x^{8} + 16 x^{7} - 8 x^{6} + 20 x^{5} + 20 x^{4} - 24 x^{3} + 8 x^{2} - 8 x + 4\)
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 2^{2} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 349.5
Root \(1.98293 + 0.531325i\) of defining polynomial
Character \(\chi\) \(=\) 570.349
Dual form 570.2.q.b.49.5

$q$-expansion

\(f(q)\) \(=\) \(q+(0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.37659 - 1.76210i) q^{5} +(0.500000 - 0.866025i) q^{6} -0.785680i q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.866025 - 0.500000i) q^{2} +(0.866025 - 0.500000i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-1.37659 - 1.76210i) q^{5} +(0.500000 - 0.866025i) q^{6} -0.785680i q^{7} -1.00000i q^{8} +(0.500000 - 0.866025i) q^{9} +(-2.07321 - 0.837733i) q^{10} -0.377784 q^{11} -1.00000i q^{12} +(-2.51426 - 1.45161i) q^{13} +(-0.392840 - 0.680419i) q^{14} +(-2.07321 - 0.837733i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(2.45651 - 1.41827i) q^{17} -1.00000i q^{18} +(-2.82148 - 3.32254i) q^{19} +(-2.21432 + 0.311108i) q^{20} +(-0.392840 - 0.680419i) q^{21} +(-0.327171 + 0.188892i) q^{22} +(7.86994 + 4.54371i) q^{23} +(-0.500000 - 0.866025i) q^{24} +(-1.21002 + 4.85138i) q^{25} -2.90321 q^{26} -1.00000i q^{27} +(-0.680419 - 0.392840i) q^{28} +(2.01037 - 3.48207i) q^{29} +(-2.21432 + 0.311108i) q^{30} -4.42864 q^{31} +(-0.866025 - 0.500000i) q^{32} +(-0.327171 + 0.188892i) q^{33} +(1.41827 - 2.45651i) q^{34} +(-1.38445 + 1.08156i) q^{35} +(-0.500000 - 0.866025i) q^{36} +0.0967881i q^{37} +(-4.10474 - 1.46666i) q^{38} -2.90321 q^{39} +(-1.76210 + 1.37659i) q^{40} +(-1.43655 - 2.48818i) q^{41} +(-0.680419 - 0.392840i) q^{42} +(-0.371213 + 0.214320i) q^{43} +(-0.188892 + 0.327171i) q^{44} +(-2.21432 + 0.311108i) q^{45} +9.08742 q^{46} +(10.4680 + 6.04371i) q^{47} +(-0.866025 - 0.500000i) q^{48} +6.38271 q^{49} +(1.37778 + 4.80642i) q^{50} +(1.41827 - 2.45651i) q^{51} +(-2.51426 + 1.45161i) q^{52} +(6.00443 + 3.46666i) q^{53} +(-0.500000 - 0.866025i) q^{54} +(0.520053 + 0.665695i) q^{55} -0.785680 q^{56} +(-4.10474 - 1.46666i) q^{57} -4.02074i q^{58} +(-4.88025 - 8.45283i) q^{59} +(-1.76210 + 1.37659i) q^{60} +(-2.27777 + 3.94521i) q^{61} +(-3.83531 + 2.21432i) q^{62} +(-0.680419 - 0.392840i) q^{63} -1.00000 q^{64} +(0.903212 + 6.42864i) q^{65} +(-0.188892 + 0.327171i) q^{66} +(7.31738 + 4.22469i) q^{67} -2.83654i q^{68} +9.08742 q^{69} +(-0.658190 + 1.62888i) q^{70} +(5.86987 + 10.1669i) q^{71} +(-0.866025 - 0.500000i) q^{72} +(-1.95744 + 1.13013i) q^{73} +(0.0483940 + 0.0838209i) q^{74} +(1.37778 + 4.80642i) q^{75} +(-4.28814 + 0.782204i) q^{76} +0.296818i q^{77} +(-2.51426 + 1.45161i) q^{78} +(-0.785680 - 1.36084i) q^{79} +(-0.837733 + 2.07321i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(-2.48818 - 1.43655i) q^{82} -2.75557i q^{83} -0.785680 q^{84} +(-5.88074 - 2.37626i) q^{85} +(-0.214320 + 0.371213i) q^{86} -4.02074i q^{87} +0.377784i q^{88} +(5.96912 - 10.3388i) q^{89} +(-1.76210 + 1.37659i) q^{90} +(-1.14050 + 1.97540i) q^{91} +(7.86994 - 4.54371i) q^{92} +(-3.83531 + 2.21432i) q^{93} +12.0874 q^{94} +(-1.97064 + 9.54550i) q^{95} -1.00000 q^{96} +(2.98299 - 1.72223i) q^{97} +(5.52759 - 3.19135i) q^{98} +(-0.188892 + 0.327171i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q + 6q^{4} + 6q^{6} + 6q^{9} + O(q^{10}) \) \( 12q + 6q^{4} + 6q^{6} + 6q^{9} - 2q^{10} - 4q^{11} - 18q^{14} - 2q^{15} - 6q^{16} + 6q^{19} - 18q^{21} - 6q^{24} - 2q^{25} - 8q^{26} - 16q^{29} + 4q^{34} + 2q^{35} - 6q^{36} - 8q^{39} + 2q^{40} + 10q^{41} - 2q^{44} + 28q^{46} - 56q^{49} + 16q^{50} + 4q^{51} - 6q^{54} - 8q^{55} - 36q^{56} + 8q^{59} + 2q^{60} - 28q^{61} - 12q^{64} - 16q^{65} - 2q^{66} + 28q^{69} + 16q^{70} + 44q^{71} + 14q^{74} + 16q^{75} - 12q^{76} - 36q^{79} - 6q^{81} - 36q^{84} - 32q^{85} + 24q^{86} + 6q^{89} + 2q^{90} + 64q^{94} - 12q^{95} - 12q^{96} - 2q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/570\mathbb{Z}\right)^\times\).

\(n\) \(191\) \(211\) \(457\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{3}\right)\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.866025 0.500000i 0.612372 0.353553i
\(3\) 0.866025 0.500000i 0.500000 0.288675i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −1.37659 1.76210i −0.615628 0.788037i
\(6\) 0.500000 0.866025i 0.204124 0.353553i
\(7\) 0.785680i 0.296959i −0.988915 0.148480i \(-0.952562\pi\)
0.988915 0.148480i \(-0.0474379\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −2.07321 0.837733i −0.655607 0.264914i
\(11\) −0.377784 −0.113906 −0.0569531 0.998377i \(-0.518139\pi\)
−0.0569531 + 0.998377i \(0.518139\pi\)
\(12\) 1.00000i 0.288675i
\(13\) −2.51426 1.45161i −0.697329 0.402603i 0.109023 0.994039i \(-0.465228\pi\)
−0.806352 + 0.591436i \(0.798561\pi\)
\(14\) −0.392840 0.680419i −0.104991 0.181850i
\(15\) −2.07321 0.837733i −0.535301 0.216302i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 2.45651 1.41827i 0.595792 0.343980i −0.171593 0.985168i \(-0.554891\pi\)
0.767384 + 0.641188i \(0.221558\pi\)
\(18\) 1.00000i 0.235702i
\(19\) −2.82148 3.32254i −0.647292 0.762242i
\(20\) −2.21432 + 0.311108i −0.495137 + 0.0695658i
\(21\) −0.392840 0.680419i −0.0857247 0.148480i
\(22\) −0.327171 + 0.188892i −0.0697531 + 0.0402719i
\(23\) 7.86994 + 4.54371i 1.64100 + 0.947429i 0.980481 + 0.196616i \(0.0629952\pi\)
0.660515 + 0.750813i \(0.270338\pi\)
\(24\) −0.500000 0.866025i −0.102062 0.176777i
\(25\) −1.21002 + 4.85138i −0.242003 + 0.970275i
\(26\) −2.90321 −0.569367
\(27\) 1.00000i 0.192450i
\(28\) −0.680419 0.392840i −0.128587 0.0742398i
\(29\) 2.01037 3.48207i 0.373317 0.646603i −0.616757 0.787154i \(-0.711554\pi\)
0.990074 + 0.140550i \(0.0448872\pi\)
\(30\) −2.21432 + 0.311108i −0.404278 + 0.0568003i
\(31\) −4.42864 −0.795407 −0.397704 0.917514i \(-0.630193\pi\)
−0.397704 + 0.917514i \(0.630193\pi\)
\(32\) −0.866025 0.500000i −0.153093 0.0883883i
\(33\) −0.327171 + 0.188892i −0.0569531 + 0.0328819i
\(34\) 1.41827 2.45651i 0.243231 0.421288i
\(35\) −1.38445 + 1.08156i −0.234015 + 0.182817i
\(36\) −0.500000 0.866025i −0.0833333 0.144338i
\(37\) 0.0967881i 0.0159119i 0.999968 + 0.00795593i \(0.00253248\pi\)
−0.999968 + 0.00795593i \(0.997468\pi\)
\(38\) −4.10474 1.46666i −0.665877 0.237924i
\(39\) −2.90321 −0.464886
\(40\) −1.76210 + 1.37659i −0.278613 + 0.217658i
\(41\) −1.43655 2.48818i −0.224351 0.388588i 0.731773 0.681548i \(-0.238693\pi\)
−0.956125 + 0.292960i \(0.905360\pi\)
\(42\) −0.680419 0.392840i −0.104991 0.0606165i
\(43\) −0.371213 + 0.214320i −0.0566094 + 0.0326835i −0.528038 0.849221i \(-0.677072\pi\)
0.471428 + 0.881904i \(0.343739\pi\)
\(44\) −0.188892 + 0.327171i −0.0284766 + 0.0493229i
\(45\) −2.21432 + 0.311108i −0.330091 + 0.0463772i
\(46\) 9.08742 1.33987
\(47\) 10.4680 + 6.04371i 1.52692 + 0.881566i 0.999489 + 0.0319658i \(0.0101768\pi\)
0.527428 + 0.849600i \(0.323157\pi\)
\(48\) −0.866025 0.500000i −0.125000 0.0721688i
\(49\) 6.38271 0.911815
\(50\) 1.37778 + 4.80642i 0.194848 + 0.679731i
\(51\) 1.41827 2.45651i 0.198597 0.343980i
\(52\) −2.51426 + 1.45161i −0.348664 + 0.201302i
\(53\) 6.00443 + 3.46666i 0.824772 + 0.476183i 0.852059 0.523445i \(-0.175353\pi\)
−0.0272870 + 0.999628i \(0.508687\pi\)
\(54\) −0.500000 0.866025i −0.0680414 0.117851i
\(55\) 0.520053 + 0.665695i 0.0701239 + 0.0897623i
\(56\) −0.785680 −0.104991
\(57\) −4.10474 1.46666i −0.543686 0.194264i
\(58\) 4.02074i 0.527949i
\(59\) −4.88025 8.45283i −0.635354 1.10047i −0.986440 0.164122i \(-0.947521\pi\)
0.351086 0.936343i \(-0.385812\pi\)
\(60\) −1.76210 + 1.37659i −0.227487 + 0.177717i
\(61\) −2.27777 + 3.94521i −0.291639 + 0.505133i −0.974197 0.225698i \(-0.927534\pi\)
0.682559 + 0.730831i \(0.260867\pi\)
\(62\) −3.83531 + 2.21432i −0.487085 + 0.281219i
\(63\) −0.680419 0.392840i −0.0857247 0.0494932i
\(64\) −1.00000 −0.125000
\(65\) 0.903212 + 6.42864i 0.112030 + 0.797375i
\(66\) −0.188892 + 0.327171i −0.0232510 + 0.0402719i
\(67\) 7.31738 + 4.22469i 0.893960 + 0.516128i 0.875236 0.483696i \(-0.160706\pi\)
0.0187245 + 0.999825i \(0.494039\pi\)
\(68\) 2.83654i 0.343980i
\(69\) 9.08742 1.09400
\(70\) −0.658190 + 1.62888i −0.0786687 + 0.194689i
\(71\) 5.86987 + 10.1669i 0.696626 + 1.20659i 0.969630 + 0.244578i \(0.0786495\pi\)
−0.273004 + 0.962013i \(0.588017\pi\)
\(72\) −0.866025 0.500000i −0.102062 0.0589256i
\(73\) −1.95744 + 1.13013i −0.229101 + 0.132271i −0.610157 0.792280i \(-0.708894\pi\)
0.381056 + 0.924552i \(0.375560\pi\)
\(74\) 0.0483940 + 0.0838209i 0.00562569 + 0.00974399i
\(75\) 1.37778 + 4.80642i 0.159093 + 0.554998i
\(76\) −4.28814 + 0.782204i −0.491884 + 0.0897250i
\(77\) 0.296818i 0.0338255i
\(78\) −2.51426 + 1.45161i −0.284683 + 0.164362i
\(79\) −0.785680 1.36084i −0.0883959 0.153106i 0.818437 0.574596i \(-0.194841\pi\)
−0.906833 + 0.421490i \(0.861507\pi\)
\(80\) −0.837733 + 2.07321i −0.0936614 + 0.231792i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) −2.48818 1.43655i −0.274773 0.158640i
\(83\) 2.75557i 0.302463i −0.988498 0.151231i \(-0.951676\pi\)
0.988498 0.151231i \(-0.0483239\pi\)
\(84\) −0.785680 −0.0857247
\(85\) −5.88074 2.37626i −0.637855 0.257741i
\(86\) −0.214320 + 0.371213i −0.0231107 + 0.0400289i
\(87\) 4.02074i 0.431069i
\(88\) 0.377784i 0.0402719i
\(89\) 5.96912 10.3388i 0.632726 1.09591i −0.354266 0.935145i \(-0.615269\pi\)
0.986992 0.160769i \(-0.0513973\pi\)
\(90\) −1.76210 + 1.37659i −0.185742 + 0.145105i
\(91\) −1.14050 + 1.97540i −0.119557 + 0.207078i
\(92\) 7.86994 4.54371i 0.820498 0.473715i
\(93\) −3.83531 + 2.21432i −0.397704 + 0.229614i
\(94\) 12.0874 1.24672
\(95\) −1.97064 + 9.54550i −0.202183 + 0.979348i
\(96\) −1.00000 −0.102062
\(97\) 2.98299 1.72223i 0.302877 0.174866i −0.340858 0.940115i \(-0.610717\pi\)
0.643735 + 0.765249i \(0.277384\pi\)
\(98\) 5.52759 3.19135i 0.558371 0.322375i
\(99\) −0.188892 + 0.327171i −0.0189844 + 0.0328819i
\(100\) 3.59641 + 3.47359i 0.359641 + 0.347359i
\(101\) −8.54617 + 14.8024i −0.850376 + 1.47289i 0.0304937 + 0.999535i \(0.490292\pi\)
−0.880870 + 0.473359i \(0.843041\pi\)
\(102\) 2.83654i 0.280859i
\(103\) 8.11753i 0.799844i 0.916549 + 0.399922i \(0.130963\pi\)
−0.916549 + 0.399922i \(0.869037\pi\)
\(104\) −1.45161 + 2.51426i −0.142342 + 0.246543i
\(105\) −0.658190 + 1.62888i −0.0642328 + 0.158963i
\(106\) 6.93332 0.673424
\(107\) 17.7812i 1.71898i −0.511155 0.859488i \(-0.670782\pi\)
0.511155 0.859488i \(-0.329218\pi\)
\(108\) −0.866025 0.500000i −0.0833333 0.0481125i
\(109\) 0.722230 + 1.25094i 0.0691771 + 0.119818i 0.898539 0.438893i \(-0.144629\pi\)
−0.829362 + 0.558711i \(0.811296\pi\)
\(110\) 0.783227 + 0.316482i 0.0746777 + 0.0301754i
\(111\) 0.0483940 + 0.0838209i 0.00459336 + 0.00795593i
\(112\) −0.680419 + 0.392840i −0.0642936 + 0.0371199i
\(113\) 14.3160i 1.34674i 0.739306 + 0.673369i \(0.235154\pi\)
−0.739306 + 0.673369i \(0.764846\pi\)
\(114\) −4.28814 + 0.782204i −0.401621 + 0.0732602i
\(115\) −2.82717 20.1225i −0.263635 1.87643i
\(116\) −2.01037 3.48207i −0.186658 0.323302i
\(117\) −2.51426 + 1.45161i −0.232443 + 0.134201i
\(118\) −8.45283 4.88025i −0.778146 0.449263i
\(119\) −1.11430 1.93003i −0.102148 0.176926i
\(120\) −0.837733 + 2.07321i −0.0764742 + 0.189257i
\(121\) −10.8573 −0.987025
\(122\) 4.55554i 0.412439i
\(123\) −2.48818 1.43655i −0.224351 0.129529i
\(124\) −2.21432 + 3.83531i −0.198852 + 0.344421i
\(125\) 10.2143 4.54617i 0.913597 0.406622i
\(126\) −0.785680 −0.0699940
\(127\) −3.14252 1.81433i −0.278854 0.160996i 0.354051 0.935226i \(-0.384804\pi\)
−0.632904 + 0.774230i \(0.718137\pi\)
\(128\) −0.866025 + 0.500000i −0.0765466 + 0.0441942i
\(129\) −0.214320 + 0.371213i −0.0188698 + 0.0326835i
\(130\) 3.99652 + 5.11576i 0.350518 + 0.448682i
\(131\) 8.40321 + 14.5548i 0.734192 + 1.27166i 0.955077 + 0.296358i \(0.0957722\pi\)
−0.220885 + 0.975300i \(0.570895\pi\)
\(132\) 0.377784i 0.0328819i
\(133\) −2.61045 + 2.21678i −0.226355 + 0.192219i
\(134\) 8.44938 0.729916
\(135\) −1.76210 + 1.37659i −0.151658 + 0.118478i
\(136\) −1.41827 2.45651i −0.121615 0.210644i
\(137\) −1.89969 1.09679i −0.162302 0.0937049i 0.416649 0.909067i \(-0.363204\pi\)
−0.578951 + 0.815362i \(0.696538\pi\)
\(138\) 7.86994 4.54371i 0.669934 0.386786i
\(139\) 0.836535 1.44892i 0.0709540 0.122896i −0.828366 0.560188i \(-0.810729\pi\)
0.899320 + 0.437292i \(0.144062\pi\)
\(140\) 0.244431 + 1.73975i 0.0206582 + 0.147035i
\(141\) 12.0874 1.01794
\(142\) 10.1669 + 5.86987i 0.853189 + 0.492589i
\(143\) 0.949846 + 0.548394i 0.0794301 + 0.0458590i
\(144\) −1.00000 −0.0833333
\(145\) −8.90321 + 1.25088i −0.739372 + 0.103880i
\(146\) −1.13013 + 1.95744i −0.0935299 + 0.161999i
\(147\) 5.52759 3.19135i 0.455908 0.263218i
\(148\) 0.0838209 + 0.0483940i 0.00689004 + 0.00397797i
\(149\) 2.69926 + 4.67526i 0.221132 + 0.383012i 0.955152 0.296116i \(-0.0956914\pi\)
−0.734020 + 0.679128i \(0.762358\pi\)
\(150\) 3.59641 + 3.47359i 0.293645 + 0.283618i
\(151\) 9.07160 0.738236 0.369118 0.929382i \(-0.379660\pi\)
0.369118 + 0.929382i \(0.379660\pi\)
\(152\) −3.32254 + 2.82148i −0.269493 + 0.228852i
\(153\) 2.83654i 0.229320i
\(154\) 0.148409 + 0.257052i 0.0119591 + 0.0207138i
\(155\) 6.09641 + 7.80372i 0.489675 + 0.626810i
\(156\) −1.45161 + 2.51426i −0.116221 + 0.201302i
\(157\) −13.3094 + 7.68421i −1.06221 + 0.613267i −0.926042 0.377419i \(-0.876812\pi\)
−0.136166 + 0.990686i \(0.543478\pi\)
\(158\) −1.36084 0.785680i −0.108262 0.0625054i
\(159\) 6.93332 0.549848
\(160\) 0.311108 + 2.21432i 0.0245952 + 0.175057i
\(161\) 3.56990 6.18325i 0.281348 0.487309i
\(162\) −0.866025 0.500000i −0.0680414 0.0392837i
\(163\) 7.31756i 0.573156i −0.958057 0.286578i \(-0.907482\pi\)
0.958057 0.286578i \(-0.0925177\pi\)
\(164\) −2.87310 −0.224351
\(165\) 0.783227 + 0.316482i 0.0609741 + 0.0246381i
\(166\) −1.37778 2.38639i −0.106937 0.185220i
\(167\) 5.03277 + 2.90567i 0.389448 + 0.224848i 0.681921 0.731426i \(-0.261145\pi\)
−0.292473 + 0.956274i \(0.594478\pi\)
\(168\) −0.680419 + 0.392840i −0.0524955 + 0.0303083i
\(169\) −2.28568 3.95891i −0.175822 0.304532i
\(170\) −6.28100 + 0.882468i −0.481730 + 0.0676822i
\(171\) −4.28814 + 0.782204i −0.327922 + 0.0598167i
\(172\) 0.428639i 0.0326835i
\(173\) −7.55647 + 4.36273i −0.574508 + 0.331692i −0.758948 0.651152i \(-0.774286\pi\)
0.184440 + 0.982844i \(0.440953\pi\)
\(174\) −2.01037 3.48207i −0.152406 0.263975i
\(175\) 3.81163 + 0.950685i 0.288132 + 0.0718651i
\(176\) 0.188892 + 0.327171i 0.0142383 + 0.0246614i
\(177\) −8.45283 4.88025i −0.635354 0.366822i
\(178\) 11.9382i 0.894809i
\(179\) 23.2306 1.73634 0.868169 0.496269i \(-0.165297\pi\)
0.868169 + 0.496269i \(0.165297\pi\)
\(180\) −0.837733 + 2.07321i −0.0624409 + 0.154528i
\(181\) −3.77309 + 6.53518i −0.280451 + 0.485756i −0.971496 0.237056i \(-0.923817\pi\)
0.691045 + 0.722812i \(0.257151\pi\)
\(182\) 2.28100i 0.169079i
\(183\) 4.55554i 0.336755i
\(184\) 4.54371 7.86994i 0.334967 0.580179i
\(185\) 0.170551 0.133237i 0.0125391 0.00979580i
\(186\) −2.21432 + 3.83531i −0.162362 + 0.281219i
\(187\) −0.928032 + 0.535799i −0.0678644 + 0.0391815i
\(188\) 10.4680 6.04371i 0.763458 0.440783i
\(189\) −0.785680 −0.0571498
\(190\) 3.06613 + 9.25197i 0.222440 + 0.671208i
\(191\) −20.4701 −1.48117 −0.740583 0.671965i \(-0.765451\pi\)
−0.740583 + 0.671965i \(0.765451\pi\)
\(192\) −0.866025 + 0.500000i −0.0625000 + 0.0360844i
\(193\) −16.3886 + 9.46198i −1.17968 + 0.681088i −0.955940 0.293561i \(-0.905160\pi\)
−0.223739 + 0.974649i \(0.571826\pi\)
\(194\) 1.72223 2.98299i 0.123649 0.214166i
\(195\) 3.99652 + 5.11576i 0.286197 + 0.366347i
\(196\) 3.19135 5.52759i 0.227954 0.394828i
\(197\) 1.73038i 0.123284i −0.998098 0.0616422i \(-0.980366\pi\)
0.998098 0.0616422i \(-0.0196338\pi\)
\(198\) 0.377784i 0.0268480i
\(199\) 7.53580 13.0524i 0.534199 0.925259i −0.465003 0.885309i \(-0.653947\pi\)
0.999202 0.0399501i \(-0.0127199\pi\)
\(200\) 4.85138 + 1.21002i 0.343044 + 0.0855610i
\(201\) 8.44938 0.595974
\(202\) 17.0923i 1.20261i
\(203\) −2.73579 1.57951i −0.192015 0.110860i
\(204\) −1.41827 2.45651i −0.0992986 0.171990i
\(205\) −2.40689 + 5.95654i −0.168104 + 0.416023i
\(206\) 4.05877 + 7.02999i 0.282788 + 0.489803i
\(207\) 7.86994 4.54371i 0.546998 0.315810i
\(208\) 2.90321i 0.201302i
\(209\) 1.06591 + 1.25520i 0.0737306 + 0.0868242i
\(210\) 0.244431 + 1.73975i 0.0168674 + 0.120054i
\(211\) −6.65801 11.5320i −0.458357 0.793897i 0.540518 0.841333i \(-0.318228\pi\)
−0.998874 + 0.0474357i \(0.984895\pi\)
\(212\) 6.00443 3.46666i 0.412386 0.238091i
\(213\) 10.1669 + 5.86987i 0.696626 + 0.402197i
\(214\) −8.89062 15.3990i −0.607750 1.05265i
\(215\) 0.888660 + 0.359085i 0.0606061 + 0.0244894i
\(216\) −1.00000 −0.0680414
\(217\) 3.47949i 0.236203i
\(218\) 1.25094 + 0.722230i 0.0847243 + 0.0489156i
\(219\) −1.13013 + 1.95744i −0.0763669 + 0.132271i
\(220\) 0.836535 0.117532i 0.0563992 0.00792398i
\(221\) −8.23506 −0.553950
\(222\) 0.0838209 + 0.0483940i 0.00562569 + 0.00324800i
\(223\) 16.6003 9.58419i 1.11164 0.641805i 0.172386 0.985030i \(-0.444852\pi\)
0.939253 + 0.343224i \(0.111519\pi\)
\(224\) −0.392840 + 0.680419i −0.0262477 + 0.0454624i
\(225\) 3.59641 + 3.47359i 0.239761 + 0.231573i
\(226\) 7.15801 + 12.3980i 0.476144 + 0.824706i
\(227\) 6.88247i 0.456805i −0.973567 0.228403i \(-0.926650\pi\)
0.973567 0.228403i \(-0.0733503\pi\)
\(228\) −3.32254 + 2.82148i −0.220040 + 0.186857i
\(229\) −13.7462 −0.908375 −0.454187 0.890906i \(-0.650070\pi\)
−0.454187 + 0.890906i \(0.650070\pi\)
\(230\) −12.5096 16.0130i −0.824860 1.05586i
\(231\) 0.148409 + 0.257052i 0.00976459 + 0.0169128i
\(232\) −3.48207 2.01037i −0.228609 0.131987i
\(233\) −5.88642 + 3.39853i −0.385632 + 0.222645i −0.680266 0.732965i \(-0.738136\pi\)
0.294634 + 0.955610i \(0.404802\pi\)
\(234\) −1.45161 + 2.51426i −0.0948945 + 0.164362i
\(235\) −3.76049 26.7654i −0.245307 1.74598i
\(236\) −9.76049 −0.635354
\(237\) −1.36084 0.785680i −0.0883959 0.0510354i
\(238\) −1.93003 1.11430i −0.125105 0.0722297i
\(239\) 10.8573 0.702299 0.351149 0.936319i \(-0.385791\pi\)
0.351149 + 0.936319i \(0.385791\pi\)
\(240\) 0.311108 + 2.21432i 0.0200819 + 0.142934i
\(241\) 4.84368 8.38950i 0.312009 0.540415i −0.666788 0.745247i \(-0.732331\pi\)
0.978797 + 0.204832i \(0.0656648\pi\)
\(242\) −9.40268 + 5.42864i −0.604427 + 0.348966i
\(243\) −0.866025 0.500000i −0.0555556 0.0320750i
\(244\) 2.27777 + 3.94521i 0.145819 + 0.252566i
\(245\) −8.78635 11.2470i −0.561339 0.718544i
\(246\) −2.87310 −0.183182
\(247\) 2.27091 + 12.4494i 0.144494 + 0.792135i
\(248\) 4.42864i 0.281219i
\(249\) −1.37778 2.38639i −0.0873135 0.151231i
\(250\) 6.57277 9.04426i 0.415699 0.572009i
\(251\) −7.54617 + 13.0704i −0.476310 + 0.824993i −0.999632 0.0271420i \(-0.991359\pi\)
0.523321 + 0.852135i \(0.324693\pi\)
\(252\) −0.680419 + 0.392840i −0.0428624 + 0.0247466i
\(253\) −2.97314 1.71654i −0.186920 0.107918i
\(254\) −3.62867 −0.227683
\(255\) −6.28100 + 0.882468i −0.393331 + 0.0552623i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −19.7676 11.4128i −1.23307 0.711912i −0.265400 0.964139i \(-0.585504\pi\)
−0.967668 + 0.252226i \(0.918837\pi\)
\(258\) 0.428639i 0.0266859i
\(259\) 0.0760445 0.00472517
\(260\) 6.01897 + 2.43212i 0.373281 + 0.150833i
\(261\) −2.01037 3.48207i −0.124439 0.215534i
\(262\) 14.5548 + 8.40321i 0.899198 + 0.519152i
\(263\) −10.4885 + 6.05554i −0.646749 + 0.373401i −0.787209 0.616686i \(-0.788475\pi\)
0.140461 + 0.990086i \(0.455142\pi\)
\(264\) 0.188892 + 0.327171i 0.0116255 + 0.0201360i
\(265\) −2.15701 15.3526i −0.132504 0.943102i
\(266\) −1.15233 + 3.22501i −0.0706537 + 0.197738i
\(267\) 11.9382i 0.730609i
\(268\) 7.31738 4.22469i 0.446980 0.258064i
\(269\) −12.6168 21.8529i −0.769258 1.33239i −0.937966 0.346728i \(-0.887293\pi\)
0.168708 0.985666i \(-0.446040\pi\)
\(270\) −0.837733 + 2.07321i −0.0509828 + 0.126172i
\(271\) −15.4652 26.7865i −0.939444 1.62717i −0.766511 0.642232i \(-0.778009\pi\)
−0.172934 0.984933i \(-0.555325\pi\)
\(272\) −2.45651 1.41827i −0.148948 0.0859951i
\(273\) 2.28100i 0.138052i
\(274\) −2.19358 −0.132519
\(275\) 0.457125 1.83277i 0.0275657 0.110520i
\(276\) 4.54371 7.86994i 0.273499 0.473715i
\(277\) 19.4938i 1.17127i 0.810576 + 0.585634i \(0.199154\pi\)
−0.810576 + 0.585634i \(0.800846\pi\)
\(278\) 1.67307i 0.100344i
\(279\) −2.21432 + 3.83531i −0.132568 + 0.229614i
\(280\) 1.08156 + 1.38445i 0.0646354 + 0.0827367i
\(281\) 3.71755 6.43898i 0.221770 0.384117i −0.733575 0.679608i \(-0.762150\pi\)
0.955346 + 0.295491i \(0.0954832\pi\)
\(282\) 10.4680 6.04371i 0.623361 0.359898i
\(283\) −1.48485 + 0.857279i −0.0882652 + 0.0509599i −0.543483 0.839420i \(-0.682895\pi\)
0.455218 + 0.890380i \(0.349561\pi\)
\(284\) 11.7397 0.696626
\(285\) 3.06613 + 9.25197i 0.181622 + 0.548039i
\(286\) 1.09679 0.0648544
\(287\) −1.95491 + 1.12867i −0.115395 + 0.0666232i
\(288\) −0.866025 + 0.500000i −0.0510310 + 0.0294628i
\(289\) −4.47703 + 7.75445i −0.263355 + 0.456144i
\(290\) −7.08497 + 5.53490i −0.416043 + 0.325021i
\(291\) 1.72223 2.98299i 0.100959 0.174866i
\(292\) 2.26025i 0.132271i
\(293\) 7.93825i 0.463757i 0.972745 + 0.231879i \(0.0744872\pi\)
−0.972745 + 0.231879i \(0.925513\pi\)
\(294\) 3.19135 5.52759i 0.186124 0.322375i
\(295\) −8.17668 + 20.2356i −0.476065 + 1.17816i
\(296\) 0.0967881 0.00562569
\(297\) 0.377784i 0.0219213i
\(298\) 4.67526 + 2.69926i 0.270831 + 0.156364i
\(299\) −13.1914 22.8481i −0.762876 1.32134i
\(300\) 4.85138 + 1.21002i 0.280094 + 0.0698603i
\(301\) 0.168387 + 0.291654i 0.00970565 + 0.0168107i
\(302\) 7.85623 4.53580i 0.452076 0.261006i
\(303\) 17.0923i 0.981929i
\(304\) −1.46666 + 4.10474i −0.0841188 + 0.235423i
\(305\) 10.0874 1.41726i 0.577604 0.0811523i
\(306\) −1.41827 2.45651i −0.0810770 0.140429i
\(307\) 0.919506 0.530877i 0.0524790 0.0302988i −0.473531 0.880777i \(-0.657021\pi\)
0.526010 + 0.850478i \(0.323687\pi\)
\(308\) 0.257052 + 0.148409i 0.0146469 + 0.00845638i
\(309\) 4.05877 + 7.02999i 0.230895 + 0.399922i
\(310\) 9.18150 + 3.71002i 0.521474 + 0.210715i
\(311\) 17.5210 0.993524 0.496762 0.867887i \(-0.334522\pi\)
0.496762 + 0.867887i \(0.334522\pi\)
\(312\) 2.90321i 0.164362i
\(313\) 10.6480 + 6.14764i 0.601862 + 0.347485i 0.769774 0.638317i \(-0.220369\pi\)
−0.167912 + 0.985802i \(0.553702\pi\)
\(314\) −7.68421 + 13.3094i −0.433645 + 0.751095i
\(315\) 0.244431 + 1.73975i 0.0137721 + 0.0980237i
\(316\) −1.57136 −0.0883959
\(317\) −20.7188 11.9620i −1.16368 0.671852i −0.211498 0.977379i \(-0.567834\pi\)
−0.952183 + 0.305527i \(0.901167\pi\)
\(318\) 6.00443 3.46666i 0.336712 0.194401i
\(319\) −0.759487 + 1.31547i −0.0425231 + 0.0736522i
\(320\) 1.37659 + 1.76210i 0.0769536 + 0.0985046i
\(321\) −8.89062 15.3990i −0.496226 0.859488i
\(322\) 7.13981i 0.397886i
\(323\) −11.6432 4.16024i −0.647847 0.231482i
\(324\) −1.00000 −0.0555556
\(325\) 10.0846 10.4411i 0.559392 0.579170i
\(326\) −3.65878 6.33719i −0.202641 0.350985i
\(327\) 1.25094 + 0.722230i 0.0691771 + 0.0399394i
\(328\) −2.48818 + 1.43655i −0.137387 + 0.0793202i
\(329\) 4.74842 8.22451i 0.261789 0.453432i
\(330\) 0.836535 0.117532i 0.0460498 0.00646991i
\(331\) 13.0810 0.718995 0.359497 0.933146i \(-0.382948\pi\)
0.359497 + 0.933146i \(0.382948\pi\)
\(332\) −2.38639 1.37778i −0.130970 0.0756157i
\(333\) 0.0838209 + 0.0483940i 0.00459336 + 0.00265198i
\(334\) 5.81135 0.317983
\(335\) −2.62867 18.7096i −0.143620 1.02222i
\(336\) −0.392840 + 0.680419i −0.0214312 + 0.0371199i
\(337\) −14.3953 + 8.31111i −0.784160 + 0.452735i −0.837903 0.545820i \(-0.816218\pi\)
0.0537427 + 0.998555i \(0.482885\pi\)
\(338\) −3.95891 2.28568i −0.215337 0.124325i
\(339\) 7.15801 + 12.3980i 0.388770 + 0.673369i
\(340\) −4.99827 + 3.90474i −0.271069 + 0.211764i
\(341\) 1.67307 0.0906019
\(342\) −3.32254 + 2.82148i −0.179662 + 0.152568i
\(343\) 10.5145i 0.567731i
\(344\) 0.214320 + 0.371213i 0.0115553 + 0.0200144i
\(345\) −12.5096 16.0130i −0.673496 0.862109i
\(346\) −4.36273 + 7.55647i −0.234542 + 0.406238i
\(347\) −4.62989 + 2.67307i −0.248546 + 0.143498i −0.619098 0.785314i \(-0.712502\pi\)
0.370552 + 0.928812i \(0.379168\pi\)
\(348\) −3.48207 2.01037i −0.186658 0.107767i
\(349\) −0.882468 −0.0472374 −0.0236187 0.999721i \(-0.507519\pi\)
−0.0236187 + 0.999721i \(0.507519\pi\)
\(350\) 3.77631 1.08250i 0.201852 0.0578620i
\(351\) −1.45161 + 2.51426i −0.0774810 + 0.134201i
\(352\) 0.327171 + 0.188892i 0.0174383 + 0.0100680i
\(353\) 15.1032i 0.803864i −0.915669 0.401932i \(-0.868339\pi\)
0.915669 0.401932i \(-0.131661\pi\)
\(354\) −9.76049 −0.518764
\(355\) 9.83477 24.3390i 0.521975 1.29178i
\(356\) −5.96912 10.3388i −0.316363 0.547957i
\(357\) −1.93003 1.11430i −0.102148 0.0589753i
\(358\) 20.1183 11.6153i 1.06329 0.613888i
\(359\) −7.82394 13.5515i −0.412932 0.715219i 0.582277 0.812990i \(-0.302162\pi\)
−0.995209 + 0.0977715i \(0.968829\pi\)
\(360\) 0.311108 + 2.21432i 0.0163968 + 0.116705i
\(361\) −3.07851 + 18.7489i −0.162027 + 0.986786i
\(362\) 7.54617i 0.396618i
\(363\) −9.40268 + 5.42864i −0.493513 + 0.284930i
\(364\) 1.14050 + 1.97540i 0.0597783 + 0.103539i
\(365\) 4.68598 + 1.89349i 0.245275 + 0.0991097i
\(366\) 2.27777 + 3.94521i 0.119061 + 0.206220i
\(367\) 27.8642 + 16.0874i 1.45450 + 0.839756i 0.998732 0.0503417i \(-0.0160310\pi\)
0.455769 + 0.890098i \(0.349364\pi\)
\(368\) 9.08742i 0.473715i
\(369\) −2.87310 −0.149568
\(370\) 0.0810825 0.200662i 0.00421528 0.0104319i
\(371\) 2.72369 4.71757i 0.141407 0.244924i
\(372\) 4.42864i 0.229614i
\(373\) 15.1160i 0.782677i −0.920247 0.391338i \(-0.872012\pi\)
0.920247 0.391338i \(-0.127988\pi\)
\(374\) −0.535799 + 0.928032i −0.0277055 + 0.0479874i
\(375\) 6.57277 9.04426i 0.339417 0.467044i
\(376\) 6.04371 10.4680i 0.311681 0.539847i
\(377\) −10.1092 + 5.83654i −0.520649 + 0.300597i
\(378\) −0.680419 + 0.392840i −0.0349970 + 0.0202055i
\(379\) 0.907658 0.0466232 0.0233116 0.999728i \(-0.492579\pi\)
0.0233116 + 0.999728i \(0.492579\pi\)
\(380\) 7.28133 + 6.47938i 0.373524 + 0.332385i
\(381\) −3.62867 −0.185902
\(382\) −17.7276 + 10.2351i −0.907025 + 0.523671i
\(383\) −0.526479 + 0.303963i −0.0269018 + 0.0155318i −0.513391 0.858155i \(-0.671611\pi\)
0.486489 + 0.873687i \(0.338277\pi\)
\(384\) −0.500000 + 0.866025i −0.0255155 + 0.0441942i
\(385\) 0.523023 0.408595i 0.0266557 0.0208240i
\(386\) −9.46198 + 16.3886i −0.481602 + 0.834159i
\(387\) 0.428639i 0.0217890i
\(388\) 3.44446i 0.174866i
\(389\) −6.04048 + 10.4624i −0.306265 + 0.530466i −0.977542 0.210740i \(-0.932413\pi\)
0.671277 + 0.741206i \(0.265746\pi\)
\(390\) 6.01897 + 2.43212i 0.304782 + 0.123155i
\(391\) 25.7768 1.30359
\(392\) 6.38271i 0.322375i
\(393\) 14.5548 + 8.40321i 0.734192 + 0.423886i
\(394\) −0.865190 1.49855i −0.0435876 0.0754960i
\(395\) −1.31638 + 3.25776i −0.0662343 + 0.163916i
\(396\) 0.188892 + 0.327171i 0.00949219 + 0.0164410i
\(397\) −16.3351 + 9.43110i −0.819837 + 0.473333i −0.850360 0.526201i \(-0.823616\pi\)
0.0305230 + 0.999534i \(0.490283\pi\)
\(398\) 15.0716i 0.755471i
\(399\) −1.15233 + 3.22501i −0.0576885 + 0.161453i
\(400\) 4.80642 1.37778i 0.240321 0.0688892i
\(401\) −4.88739 8.46521i −0.244065 0.422732i 0.717804 0.696246i \(-0.245148\pi\)
−0.961868 + 0.273513i \(0.911814\pi\)
\(402\) 7.31738 4.22469i 0.364958 0.210708i
\(403\) 11.1347 + 6.42864i 0.554660 + 0.320233i
\(404\) 8.54617 + 14.8024i 0.425188 + 0.736447i
\(405\) −0.837733 + 2.07321i −0.0416273 + 0.103019i
\(406\) −3.15902 −0.156779
\(407\) 0.0365650i 0.00181246i
\(408\) −2.45651 1.41827i −0.121615 0.0702147i
\(409\) −19.1916 + 33.2408i −0.948963 + 1.64365i −0.201348 + 0.979520i \(0.564532\pi\)
−0.747615 + 0.664133i \(0.768801\pi\)
\(410\) 0.893844 + 6.36196i 0.0441438 + 0.314195i
\(411\) −2.19358 −0.108201
\(412\) 7.02999 + 4.05877i 0.346343 + 0.199961i
\(413\) −6.64122 + 3.83431i −0.326793 + 0.188674i
\(414\) 4.54371 7.86994i 0.223311 0.386786i
\(415\) −4.85560 + 3.79328i −0.238352 + 0.186205i
\(416\) 1.45161 + 2.51426i 0.0711708 + 0.123272i
\(417\) 1.67307i 0.0819306i
\(418\) 1.55071 + 0.554082i 0.0758476 + 0.0271010i
\(419\) −30.7560 −1.50253 −0.751266 0.660000i \(-0.770556\pi\)
−0.751266 + 0.660000i \(0.770556\pi\)
\(420\) 1.08156 + 1.38445i 0.0527746 + 0.0675542i
\(421\) 6.31433 + 10.9367i 0.307742 + 0.533024i 0.977868 0.209223i \(-0.0670934\pi\)
−0.670126 + 0.742247i \(0.733760\pi\)
\(422\) −11.5320 6.65801i −0.561370 0.324107i
\(423\) 10.4680 6.04371i 0.508972 0.293855i
\(424\) 3.46666 6.00443i 0.168356 0.291601i
\(425\) 3.90813 + 13.6336i 0.189572 + 0.661326i
\(426\) 11.7397 0.568793
\(427\) 3.09968 + 1.78960i 0.150004 + 0.0866047i
\(428\) −15.3990 8.89062i −0.744339 0.429744i
\(429\) 1.09679 0.0529534
\(430\) 0.949145 0.133353i 0.0457718 0.00643086i
\(431\) 17.6763 30.6162i 0.851437 1.47473i −0.0284739 0.999595i \(-0.509065\pi\)
0.879911 0.475138i \(-0.157602\pi\)
\(432\) −0.866025 + 0.500000i −0.0416667 + 0.0240563i
\(433\) 18.0052 + 10.3953i 0.865274 + 0.499566i 0.865775 0.500434i \(-0.166826\pi\)
−0.000500727 1.00000i \(0.500159\pi\)
\(434\) 1.73975 + 3.01333i 0.0835105 + 0.144645i
\(435\) −7.08497 + 5.53490i −0.339698 + 0.265378i
\(436\) 1.44446 0.0691771
\(437\) −7.10822 38.9681i −0.340032 1.86410i
\(438\) 2.26025i 0.107999i
\(439\) −1.96444 3.40251i −0.0937576 0.162393i 0.815332 0.578994i \(-0.196555\pi\)
−0.909089 + 0.416601i \(0.863221\pi\)
\(440\) 0.665695 0.520053i 0.0317358 0.0247926i
\(441\) 3.19135 5.52759i 0.151969 0.263218i
\(442\) −7.13177 + 4.11753i −0.339224 + 0.195851i
\(443\) −1.38265 0.798275i −0.0656918 0.0379272i 0.466794 0.884366i \(-0.345409\pi\)
−0.532486 + 0.846439i \(0.678742\pi\)
\(444\) 0.0967881 0.00459336
\(445\) −26.4351 + 3.71408i −1.25314 + 0.176064i
\(446\) 9.58419 16.6003i 0.453825 0.786047i
\(447\) 4.67526 + 2.69926i 0.221132 + 0.127671i
\(448\) 0.785680i 0.0371199i
\(449\) 14.4588 0.682351 0.341175 0.940000i \(-0.389175\pi\)
0.341175 + 0.940000i \(0.389175\pi\)
\(450\) 4.85138 + 1.21002i 0.228696 + 0.0570407i
\(451\) 0.542706 + 0.939995i 0.0255550 + 0.0442626i
\(452\) 12.3980 + 7.15801i 0.583155 + 0.336685i
\(453\) 7.85623 4.53580i 0.369118 0.213110i
\(454\) −3.44123 5.96039i −0.161505 0.279735i
\(455\) 5.05086 0.709636i 0.236788 0.0332682i
\(456\) −1.46666 + 4.10474i −0.0686827 + 0.192222i
\(457\) 28.9052i 1.35213i −0.736842 0.676065i \(-0.763684\pi\)
0.736842 0.676065i \(-0.236316\pi\)
\(458\) −11.9046 + 6.87310i −0.556264 + 0.321159i
\(459\) −1.41827 2.45651i −0.0661991 0.114660i
\(460\) −18.8401 7.61283i −0.878426 0.354950i
\(461\) −1.22369 2.11949i −0.0569928 0.0987145i 0.836121 0.548545i \(-0.184818\pi\)
−0.893114 + 0.449830i \(0.851485\pi\)
\(462\) 0.257052 + 0.148409i 0.0119591 + 0.00690460i
\(463\) 7.67460i 0.356669i 0.983970 + 0.178335i \(0.0570709\pi\)
−0.983970 + 0.178335i \(0.942929\pi\)
\(464\) −4.02074 −0.186658
\(465\) 9.18150 + 3.71002i 0.425782 + 0.172048i
\(466\) −3.39853 + 5.88642i −0.157434 + 0.272683i
\(467\) 9.78123i 0.452622i −0.974055 0.226311i \(-0.927334\pi\)
0.974055 0.226311i \(-0.0726665\pi\)
\(468\) 2.90321i 0.134201i
\(469\) 3.31926 5.74912i 0.153269 0.265470i
\(470\) −16.6394 21.2993i −0.767518 0.982463i
\(471\) −7.68421 + 13.3094i −0.354070 + 0.613267i
\(472\) −8.45283 + 4.88025i −0.389073 + 0.224632i
\(473\) 0.140238 0.0809666i 0.00644817 0.00372285i
\(474\) −1.57136 −0.0721750
\(475\) 19.5329 9.66774i 0.896232 0.443586i
\(476\) −2.22861 −0.102148
\(477\) 6.00443 3.46666i 0.274924 0.158728i
\(478\) 9.40268 5.42864i 0.430069 0.248300i
\(479\) −16.9716 + 29.3956i −0.775451 + 1.34312i 0.159089 + 0.987264i \(0.449144\pi\)
−0.934540 + 0.355857i \(0.884189\pi\)
\(480\) 1.37659 + 1.76210i 0.0628323 + 0.0804286i
\(481\) 0.140498 0.243350i 0.00640616 0.0110958i
\(482\) 9.68736i 0.441247i
\(483\) 7.13981i 0.324872i
\(484\) −5.42864 + 9.40268i −0.246756 + 0.427395i
\(485\) −7.14109 2.88554i −0.324260 0.131025i
\(486\) −1.00000 −0.0453609
\(487\) 33.8780i 1.53516i 0.640953 + 0.767580i \(0.278539\pi\)
−0.640953 + 0.767580i \(0.721461\pi\)
\(488\) 3.94521 + 2.27777i 0.178591 + 0.103110i
\(489\) −3.65878 6.33719i −0.165456 0.286578i
\(490\) −13.2327 5.34700i −0.597792 0.241553i
\(491\) 20.5622 + 35.6148i 0.927960 + 1.60727i 0.786729 + 0.617298i \(0.211773\pi\)
0.141231 + 0.989977i \(0.454894\pi\)
\(492\) −2.48818 + 1.43655i −0.112176 + 0.0647647i
\(493\) 11.4050i 0.513655i
\(494\) 8.19135 + 9.64603i 0.368546 + 0.433995i
\(495\) 0.836535 0.117532i 0.0375995 0.00528266i
\(496\) 2.21432 + 3.83531i 0.0994259 + 0.172211i
\(497\) 7.98795 4.61184i 0.358308 0.206869i
\(498\) −2.38639 1.37778i −0.106937 0.0617400i
\(499\) 9.98987 + 17.3030i 0.447208 + 0.774587i 0.998203 0.0599217i \(-0.0190851\pi\)
−0.550995 + 0.834508i \(0.685752\pi\)
\(500\) 1.17006 11.1189i 0.0523267 0.497254i
\(501\) 5.81135 0.259632
\(502\) 15.0923i 0.673604i
\(503\) 18.2708 + 10.5486i 0.814653 + 0.470340i 0.848569 0.529084i \(-0.177465\pi\)
−0.0339160 + 0.999425i \(0.510798\pi\)
\(504\) −0.392840 + 0.680419i −0.0174985 + 0.0303083i
\(505\) 37.8479 5.31756i 1.68421 0.236628i
\(506\) −3.43309 −0.152619
\(507\) −3.95891 2.28568i −0.175822 0.101511i
\(508\) −3.14252 + 1.81433i −0.139427 + 0.0804981i
\(509\) −11.3620 + 19.6795i −0.503610 + 0.872278i 0.496381 + 0.868105i \(0.334662\pi\)
−0.999991 + 0.00417367i \(0.998671\pi\)
\(510\) −4.99827 + 3.90474i −0.221327 + 0.172905i
\(511\) 0.887918 + 1.53792i 0.0392792 + 0.0680335i
\(512\) 1.00000i 0.0441942i
\(513\) −3.32254 + 2.82148i −0.146694 + 0.124571i
\(514\) −22.8256 −1.00680
\(515\) 14.3039 11.1745i 0.630306 0.492407i
\(516\) 0.214320 + 0.371213i 0.00943490 + 0.0163417i
\(517\) −3.95465 2.28322i −0.173925 0.100416i
\(518\) 0.0658565 0.0380222i 0.00289357 0.00167060i
\(519\) −4.36273 + 7.55647i −0.191503 + 0.331692i
\(520\) 6.42864 0.903212i 0.281914 0.0396085i
\(521\) 29.0923 1.27456 0.637279 0.770633i \(-0.280060\pi\)
0.637279 + 0.770633i \(0.280060\pi\)
\(522\) −3.48207 2.01037i −0.152406 0.0879916i
\(523\) 6.84186 + 3.95015i 0.299174 + 0.172728i 0.642072 0.766645i \(-0.278075\pi\)
−0.342898 + 0.939373i \(0.611409\pi\)
\(524\) 16.8064 0.734192
\(525\) 3.77631 1.08250i 0.164812 0.0472441i
\(526\) −6.05554 + 10.4885i −0.264034 + 0.457320i
\(527\) −10.8790 + 6.28100i −0.473897 + 0.273604i
\(528\) 0.327171 + 0.188892i 0.0142383 + 0.00822048i
\(529\) 29.7906 + 51.5988i 1.29524 + 2.24343i
\(530\) −9.54432 12.2172i −0.414579 0.530683i
\(531\) −9.76049 −0.423569
\(532\) 0.614563 + 3.36911i 0.0266447 + 0.146069i
\(533\) 8.34122i 0.361298i
\(534\) −5.96912 10.3388i −0.258309 0.447405i
\(535\) −31.3324 + 24.4774i −1.35462 + 1.05825i
\(536\) 4.22469 7.31738i 0.182479 0.316063i
\(537\) 20.1183 11.6153i 0.868169 0.501238i
\(538\) −21.8529 12.6168i −0.942145 0.543947i
\(539\) −2.41129 −0.103861
\(540\) 0.311108 + 2.21432i 0.0133879 + 0.0952891i
\(541\) 10.3160 17.8679i 0.443521 0.768201i −0.554427 0.832232i \(-0.687063\pi\)
0.997948 + 0.0640318i \(0.0203959\pi\)
\(542\) −26.7865 15.4652i −1.15058 0.664287i
\(543\) 7.54617i 0.323837i
\(544\) −2.83654 −0.121615
\(545\) 1.21007 2.99467i 0.0518338 0.128278i
\(546\) 1.14050 + 1.97540i 0.0488088 + 0.0845393i
\(547\) 7.43965 + 4.29529i 0.318097 + 0.183653i 0.650544 0.759469i \(-0.274541\pi\)
−0.332447 + 0.943122i \(0.607874\pi\)
\(548\) −1.89969 + 1.09679i −0.0811508 + 0.0468525i
\(549\) 2.27777 + 3.94521i 0.0972128 + 0.168378i
\(550\) −0.520505 1.81579i −0.0221944 0.0774256i
\(551\) −17.2415 + 3.14504i −0.734513 + 0.133983i
\(552\) 9.08742i 0.386786i
\(553\) −1.06918 + 0.617293i −0.0454663 + 0.0262500i
\(554\) 9.74689 + 16.8821i 0.414106 + 0.717252i
\(555\) 0.0810825 0.200662i 0.00344176 0.00851763i
\(556\) −0.836535 1.44892i −0.0354770 0.0614480i
\(557\) 21.3209 + 12.3097i 0.903397 + 0.521577i 0.878301 0.478108i \(-0.158677\pi\)
0.0250964 + 0.999685i \(0.492011\pi\)
\(558\) 4.42864i 0.187479i
\(559\) 1.24443 0.0526338
\(560\) 1.62888 + 0.658190i 0.0688328 + 0.0278136i
\(561\) −0.535799 + 0.928032i −0.0226215 + 0.0391815i
\(562\) 7.43509i 0.313630i
\(563\) 33.6958i 1.42011i −0.704146 0.710055i \(-0.748670\pi\)
0.704146 0.710055i \(-0.251330\pi\)
\(564\) 6.04371 10.4680i 0.254486 0.440783i
\(565\) 25.2263 19.7073i 1.06128 0.829091i
\(566\) −0.857279 + 1.48485i −0.0360341 + 0.0624129i
\(567\) −0.680419 + 0.392840i −0.0285749 + 0.0164977i
\(568\) 10.1669 5.86987i 0.426594 0.246294i
\(569\) 3.59703 0.150795 0.0753976 0.997154i \(-0.475977\pi\)
0.0753976 + 0.997154i \(0.475977\pi\)
\(570\) 7.28133 + 6.47938i 0.304981 + 0.271391i
\(571\) 22.2623 0.931647 0.465823 0.884878i \(-0.345758\pi\)
0.465823 + 0.884878i \(0.345758\pi\)
\(572\) 0.949846 0.548394i 0.0397151 0.0229295i
\(573\) −17.7276 + 10.2351i −0.740583 + 0.427576i
\(574\) −1.12867 + 1.95491i −0.0471097 + 0.0815965i
\(575\) −31.5660 + 32.6821i −1.31639 + 1.36294i
\(576\) −0.500000 + 0.866025i −0.0208333 + 0.0360844i
\(577\) 34.7719i 1.44757i 0.690025 + 0.723786i \(0.257600\pi\)
−0.690025 + 0.723786i \(0.742400\pi\)
\(578\) 8.95407i 0.372440i
\(579\) −9.46198 + 16.3886i −0.393226 + 0.681088i
\(580\) −3.36831 + 8.33585i −0.139861 + 0.346127i
\(581\) −2.16500 −0.0898192
\(582\) 3.44446i 0.142777i
\(583\) −2.26838 1.30965i −0.0939468 0.0542402i
\(584\) 1.13013 + 1.95744i 0.0467650 + 0.0809993i
\(585\) 6.01897 + 2.43212i 0.248854 + 0.100556i
\(586\) 3.96912 + 6.87472i 0.163963 + 0.283992i
\(587\) 21.7306 12.5462i 0.896918 0.517836i 0.0207191 0.999785i \(-0.493404\pi\)
0.876199 + 0.481949i \(0.160071\pi\)
\(588\) 6.38271i 0.263218i
\(589\) 12.4953 + 14.7143i 0.514861 + 0.606293i
\(590\) 3.03657 + 21.6128i 0.125013 + 0.889787i
\(591\) −0.865190 1.49855i −0.0355891 0.0616422i
\(592\) 0.0838209 0.0483940i 0.00344502 0.00198898i
\(593\) 36.9025 + 21.3057i 1.51540 + 0.874919i 0.999837 + 0.0180690i \(0.00575185\pi\)
0.515567 + 0.856850i \(0.327581\pi\)
\(594\) 0.188892 + 0.327171i 0.00775034 + 0.0134240i
\(595\) −1.86698 + 4.62038i −0.0765387 + 0.189417i
\(596\) 5.39853 0.221132
\(597\) 15.0716i 0.616839i
\(598\) −22.8481 13.1914i −0.934328 0.539435i
\(599\) −21.3652 + 37.0056i −0.872958 + 1.51201i −0.0140358 + 0.999901i \(0.504468\pi\)
−0.858922 + 0.512106i \(0.828865\pi\)
\(600\) 4.80642 1.37778i 0.196221 0.0562478i
\(601\) −40.1481 −1.63768 −0.818838 0.574025i \(-0.805381\pi\)
−0.818838 + 0.574025i \(0.805381\pi\)
\(602\) 0.291654 + 0.168387i 0.0118869 + 0.00686293i
\(603\) 7.31738 4.22469i 0.297987 0.172043i
\(604\) 4.53580 7.85623i 0.184559 0.319666i
\(605\) 14.9460 + 19.1316i 0.607641 + 0.777812i
\(606\) 8.54617 + 14.8024i 0.347164 + 0.601307i
\(607\) 36.0988i 1.46520i 0.680657 + 0.732602i \(0.261695\pi\)
−0.680657 + 0.732602i \(0.738305\pi\)
\(608\) 0.782204 + 4.28814i 0.0317226 + 0.173907i
\(609\) −3.15902 −0.128010
\(610\) 8.02733 6.27110i 0.325017 0.253909i
\(611\) −17.5462 30.3909i −0.709842 1.22948i
\(612\) −2.45651 1.41827i −0.0992986 0.0573301i
\(613\) 21.8144 12.5946i 0.881076 0.508690i 0.0100632 0.999949i \(-0.496797\pi\)
0.871013 + 0.491260i \(0.163463\pi\)
\(614\) 0.530877 0.919506i 0.0214245 0.0371083i
\(615\) 0.893844 + 6.36196i 0.0360433 + 0.256539i
\(616\) 0.296818 0.0119591
\(617\) 2.97740 + 1.71900i 0.119866 + 0.0692045i 0.558734 0.829347i \(-0.311287\pi\)
−0.438868 + 0.898551i \(0.644621\pi\)
\(618\) 7.02999 + 4.05877i 0.282788 + 0.163268i
\(619\) 20.7397 0.833601 0.416800 0.908998i \(-0.363151\pi\)
0.416800 + 0.908998i \(0.363151\pi\)
\(620\) 9.80642 1.37778i 0.393835 0.0553332i
\(621\) 4.54371 7.86994i 0.182333 0.315810i
\(622\) 15.1736 8.76049i 0.608407 0.351264i
\(623\) −8.12301 4.68982i −0.325442 0.187894i
\(624\) 1.45161 + 2.51426i 0.0581107 + 0.100651i
\(625\) −22.0717 11.7405i −0.882869 0.469619i
\(626\) 12.2953 0.491418
\(627\) 1.55071 + 0.554082i 0.0619293 + 0.0221279i
\(628\) 15.3684i 0.613267i
\(629\) 0.137271 + 0.237761i 0.00547337 + 0.00948015i
\(630\) 1.08156 + 1.38445i 0.0430903 + 0.0551578i
\(631\) −17.1629 + 29.7271i −0.683246 + 1.18342i 0.290739 + 0.956802i \(0.406099\pi\)
−0.973985 + 0.226614i \(0.927234\pi\)
\(632\) −1.36084 + 0.785680i −0.0541312 + 0.0312527i
\(633\) −11.5320 6.65801i −0.458357 0.264632i
\(634\) −23.9240 −0.950142
\(635\) 1.12891 + 8.03503i 0.0447993 + 0.318861i
\(636\) 3.46666 6.00443i 0.137462 0.238091i
\(637\) −16.0478 9.26517i −0.635835 0.367100i
\(638\) 1.51897i 0.0601368i
\(639\) 11.7397 0.464417
\(640\) 2.07321 + 0.837733i 0.0819509 + 0.0331143i
\(641\) 1.54125 + 2.66952i 0.0608757 + 0.105440i 0.894857 0.446353i \(-0.147277\pi\)
−0.833981 + 0.551793i \(0.813944\pi\)
\(642\) −15.3990 8.89062i −0.607750 0.350885i
\(643\) −27.9069 + 16.1121i −1.10054 + 0.635398i −0.936363 0.351032i \(-0.885831\pi\)
−0.164179 + 0.986431i \(0.552497\pi\)
\(644\) −3.56990 6.18325i −0.140674 0.243654i
\(645\) 0.949145 0.133353i 0.0373725 0.00525077i
\(646\) −12.1635 + 2.21875i −0.478565 + 0.0872956i
\(647\) 4.90813i 0.192959i 0.995335 + 0.0964793i \(0.0307582\pi\)
−0.995335 + 0.0964793i \(0.969242\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) 1.84368 + 3.19335i 0.0723708 + 0.125350i
\(650\) 3.51293 14.0846i 0.137789 0.552443i
\(651\) 1.73975 + 3.01333i 0.0681861 + 0.118102i
\(652\) −6.33719 3.65878i −0.248184 0.143289i
\(653\) 41.4405i 1.62169i 0.585260 + 0.810846i \(0.300993\pi\)
−0.585260 + 0.810846i \(0.699007\pi\)
\(654\) 1.44446 0.0564829
\(655\) 14.0793 34.8433i 0.550123 1.36144i
\(656\) −1.43655 + 2.48818i −0.0560879 + 0.0971470i
\(657\) 2.26025i 0.0881809i
\(658\) 9.49685i 0.370226i
\(659\) −0.665688 + 1.15300i −0.0259315 + 0.0449147i −0.878700 0.477375i \(-0.841589\pi\)
0.852768 + 0.522289i \(0.174922\pi\)
\(660\) 0.665695 0.520053i 0.0259121 0.0202430i
\(661\) 18.1891 31.5045i 0.707475 1.22538i −0.258316 0.966061i \(-0.583167\pi\)
0.965791 0.259322i \(-0.0834992\pi\)
\(662\) 11.3284 6.54048i 0.440293 0.254203i
\(663\) −7.13177 + 4.11753i −0.276975 + 0.159912i
\(664\) −2.75557 −0.106937
\(665\) 7.49971 + 1.54829i 0.290826 + 0.0600403i
\(666\) 0.0967881 0.00375046
\(667\) 31.6430 18.2691i 1.22522 0.707382i
\(668\) 5.03277 2.90567i 0.194724 0.112424i
\(669\) 9.58419 16.6003i 0.370546 0.641805i
\(670\) −11.6313 14.8887i −0.449357 0.575200i
\(671\) 0.860506 1.49044i 0.0332195 0.0575378i
\(672\) 0.785680i 0.0303083i
\(673\) 38.8069i 1.49590i −0.663757 0.747948i \(-0.731039\pi\)
0.663757 0.747948i \(-0.268961\pi\)
\(674\) −8.31111 + 14.3953i −0.320132 + 0.554485i
\(675\) 4.85138 + 1.21002i 0.186730 + 0.0465735i
\(676\) −4.57136 −0.175822
\(677\) 31.6242i 1.21542i 0.794160 + 0.607709i \(0.207911\pi\)
−0.794160 + 0.607709i \(0.792089\pi\)
\(678\) 12.3980 + 7.15801i 0.476144 + 0.274902i
\(679\) −1.35312 2.34368i −0.0519281 0.0899421i
\(680\) −2.37626 + 5.88074i −0.0911253 + 0.225516i
\(681\) −3.44123 5.96039i −0.131868 0.228403i
\(682\) 1.44892 0.836535i 0.0554821 0.0320326i
\(683\) 24.2000i 0.925988i 0.886361 + 0.462994i \(0.153225\pi\)
−0.886361 + 0.462994i \(0.846775\pi\)
\(684\) −1.46666 + 4.10474i −0.0560792 + 0.156949i
\(685\) 0.682439 + 4.85728i 0.0260746 + 0.185587i
\(686\) −5.25726 9.10585i −0.200723 0.347663i
\(687\) −11.9046 + 6.87310i −0.454187 + 0.262225i
\(688\) 0.371213 + 0.214320i 0.0141524 + 0.00817086i
\(689\) −10.0645 17.4321i −0.383425 0.664112i
\(690\) −18.8401 7.61283i −0.717232 0.289815i
\(691\) −21.1782 −0.805658 −0.402829 0.915275i \(-0.631973\pi\)
−0.402829 + 0.915275i \(0.631973\pi\)
\(692\) 8.72546i 0.331692i
\(693\) 0.257052 + 0.148409i 0.00976459 + 0.00563759i
\(694\) −2.67307 + 4.62989i −0.101468 + 0.175748i
\(695\) −3.70471 + 0.520505i −0.140528 + 0.0197439i
\(696\) −4.02074 −0.152406
\(697\) −7.05780 4.07483i −0.267333 0.154345i
\(698\) −0.764240 + 0.441234i −0.0289269 + 0.0167010i
\(699\) −3.39853 + 5.88642i −0.128544 + 0.222645i
\(700\) 2.72913 2.82563i 0.103152 0.106799i
\(701\) 11.1635 + 19.3357i 0.421638 + 0.730299i 0.996100 0.0882326i \(-0.0281219\pi\)
−0.574462 + 0.818531i \(0.694789\pi\)
\(702\) 2.90321i 0.109575i
\(703\) 0.321582 0.273086i 0.0121287 0.0102996i
\(704\) 0.377784 0.0142383
\(705\) −16.6394 21.2993i −0.626676 0.802177i
\(706\) −7.55162 13.0798i −0.284209 0.492264i
\(707\) 11.6300 + 6.71456i 0.437389 + 0.252527i
\(708\) −8.45283 + 4.88025i −0.317677 + 0.183411i
\(709\) −11.2733 + 19.5260i −0.423379 + 0.733313i −0.996267 0.0863198i \(-0.972489\pi\)
0.572889 + 0.819633i \(0.305823\pi\)
\(710\) −3.65233 25.9956i −0.137069 0.975596i
\(711\) −1.57136 −0.0589306
\(712\) −10.3388 5.96912i −0.387464 0.223702i
\(713\) −34.8531 20.1225i −1.30526 0.753592i
\(714\) −2.22861 −0.0834036
\(715\) −0.341219 2.42864i −0.0127609 0.0908260i
\(716\) 11.6153 20.1183i 0.434084 0.751856i
\(717\) 9.40268 5.42864i 0.351149 0.202736i
\(718\) −13.5515 7.82394i −0.505736 0.291987i
\(719\) −16.3111 28.2517i −0.608302 1.05361i −0.991520 0.129952i \(-0.958518\pi\)
0.383219 0.923658i \(-0.374816\pi\)
\(720\) 1.37659 + 1.76210i 0.0513024 + 0.0656697i
\(721\) 6.37778 0.237521
\(722\) 6.70841 + 17.7763i 0.249661 + 0.661566i
\(723\) 9.68736i 0.360277i
\(724\) 3.77309 + 6.53518i 0.140226 + 0.242878i
\(725\) 14.4602 + 13.9664i 0.537040 + 0.518700i
\(726\) −5.42864 + 9.40268i −0.201476 + 0.348966i
\(727\) 32.6741 18.8644i 1.21182 0.699643i 0.248662 0.968590i \(-0.420009\pi\)
0.963155 + 0.268948i \(0.0866758\pi\)
\(728\) 1.97540 + 1.14050i 0.0732132 + 0.0422697i
\(729\) −1.00000 −0.0370370
\(730\) 5.00492 0.703182i 0.185240 0.0260259i
\(731\) −0.607926 + 1.05296i −0.0224849 + 0.0389451i
\(732\) 3.94521 + 2.27777i 0.145819 + 0.0841888i
\(733\) 47.5531i 1.75641i 0.478281 + 0.878207i \(0.341260\pi\)
−0.478281 + 0.878207i \(0.658740\pi\)
\(734\) 32.1748 1.18760
\(735\) −13.2327 5.34700i −0.488095 0.197227i
\(736\) −4.54371 7.86994i −0.167483 0.290090i
\(737\) −2.76439 1.59602i −0.101828 0.0587902i
\(738\) −2.48818 + 1.43655i −0.0915911 + 0.0528801i
\(739\) −14.6602 25.3923i −0.539286 0.934070i −0.998943 0.0459735i \(-0.985361\pi\)
0.459657 0.888096i \(-0.347972\pi\)
\(740\) −0.0301115 0.214320i −0.00110692 0.00787855i
\(741\) 8.19135 + 9.64603i 0.300917 + 0.354356i
\(742\) 5.44738i 0.199979i
\(743\) 7.39176 4.26764i 0.271177 0.156564i −0.358245 0.933628i \(-0.616625\pi\)
0.629423 + 0.777063i \(0.283291\pi\)
\(744\) 2.21432 + 3.83531i 0.0811809 + 0.140609i
\(745\) 4.52252 11.1923i 0.165692 0.410054i
\(746\) −7.55800 13.0908i −0.276718 0.479290i
\(747\) −2.38639 1.37778i −0.0873135 0.0504105i
\(748\) 1.07160i 0.0391815i
\(749\) −13.9704 −0.510466
\(750\) 1.17006 11.1189i 0.0427246 0.406007i
\(751\) 3.79213 6.56817i 0.138377 0.239676i −0.788505 0.615028i \(-0.789145\pi\)
0.926882 + 0.375352i \(0.122478\pi\)
\(752\) 12.0874i 0.440783i
\(753\) 15.0923i 0.549996i
\(754\) −5.83654 + 10.1092i −0.212554 + 0.368154i
\(755\) −12.4878 15.9851i −0.454479 0.581757i
\(756\) −0.392840 + 0.680419i −0.0142875 + 0.0247466i
\(757\) 26.1600 15.1035i 0.950801 0.548945i 0.0574714 0.998347i \(-0.481696\pi\)
0.893330 + 0.449402i \(0.148363\pi\)
\(758\) 0.786055 0.453829i 0.0285508 0.0164838i
\(759\) −3.43309 −0.124613
\(760\) 9.54550 + 1.97064i 0.346252 + 0.0714827i
\(761\) −46.3526 −1.68028 −0.840140 0.542369i \(-0.817527\pi\)
−0.840140 + 0.542369i \(0.817527\pi\)
\(762\) −3.14252 + 1.81433i −0.113841 + 0.0657264i
\(763\) 0.982839 0.567442i 0.0355812 0.0205428i
\(764\) −10.2351 + 17.7276i −0.370292 + 0.641364i
\(765\) −4.99827 + 3.90474i −0.180713 + 0.141176i
\(766\) −0.303963 + 0.526479i −0.0109826 + 0.0190225i
\(767\) 28.3368i 1.02318i
\(768\) 1.00000i 0.0360844i
\(769\) 3.85950 6.68485i 0.139177 0.241062i −0.788008 0.615665i \(-0.788888\pi\)
0.927185 + 0.374603i \(0.122221\pi\)
\(770\) 0.248654 0.615366i 0.00896086 0.0221762i
\(771\) −22.8256 −0.822045
\(772\) 18.9240i 0.681088i
\(773\) 18.0095 + 10.3978i 0.647755 + 0.373982i 0.787596 0.616193i \(-0.211326\pi\)
−0.139841 + 0.990174i \(0.544659\pi\)
\(774\) 0.214320 + 0.371213i 0.00770356 + 0.0133430i
\(775\) 5.35872