Properties

Label 546.2.by.b.397.7
Level $546$
Weight $2$
Character 546.397
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 546 = 2 \cdot 3 \cdot 7 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 546.by (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.35983195036\)
Analytic rank: \(0\)
Dimension: \(40\)
Relative dimension: \(10\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 397.7
Character \(\chi\) \(=\) 546.397
Dual form 546.2.by.b.535.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.258819 - 0.965926i) q^{2} +1.00000i q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.382567 - 1.42776i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-1.00882 + 2.44587i) q^{7} +(-0.707107 + 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(0.258819 - 0.965926i) q^{2} +1.00000i q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.382567 - 1.42776i) q^{5} +(0.965926 + 0.258819i) q^{6} +(-1.00882 + 2.44587i) q^{7} +(-0.707107 + 0.707107i) q^{8} -1.00000 q^{9} -1.47812 q^{10} +(4.12568 - 4.12568i) q^{11} +(0.500000 - 0.866025i) q^{12} +(2.68146 + 2.41035i) q^{13} +(2.10143 + 1.60748i) q^{14} +(1.42776 - 0.382567i) q^{15} +(0.500000 + 0.866025i) q^{16} +(3.47189 - 6.01349i) q^{17} +(-0.258819 + 0.965926i) q^{18} +(3.76741 - 3.76741i) q^{19} +(-0.382567 + 1.42776i) q^{20} +(-2.44587 - 1.00882i) q^{21} +(-2.91730 - 5.05291i) q^{22} +(0.666449 - 0.384774i) q^{23} +(-0.707107 - 0.707107i) q^{24} +(2.43799 - 1.40757i) q^{25} +(3.02223 - 1.96624i) q^{26} -1.00000i q^{27} +(2.09660 - 1.61378i) q^{28} +(-4.35699 + 7.54652i) q^{29} -1.47812i q^{30} +(-0.379148 - 0.101593i) q^{31} +(0.965926 - 0.258819i) q^{32} +(4.12568 + 4.12568i) q^{33} +(-4.91000 - 4.91000i) q^{34} +(3.87805 + 0.504639i) q^{35} +(0.866025 + 0.500000i) q^{36} +(-5.66482 - 1.51788i) q^{37} +(-2.66396 - 4.61411i) q^{38} +(-2.41035 + 2.68146i) q^{39} +(1.28009 + 0.739062i) q^{40} +(1.70135 + 6.34954i) q^{41} +(-1.60748 + 2.10143i) q^{42} +(0.142904 - 0.0825059i) q^{43} +(-5.63579 + 1.51010i) q^{44} +(0.382567 + 1.42776i) q^{45} +(-0.199174 - 0.743327i) q^{46} +(12.0638 - 3.23250i) q^{47} +(-0.866025 + 0.500000i) q^{48} +(-4.96457 - 4.93488i) q^{49} +(-0.728614 - 2.71922i) q^{50} +(6.01349 + 3.47189i) q^{51} +(-1.11703 - 3.42815i) q^{52} +(-4.44772 - 7.70367i) q^{53} +(-0.965926 - 0.258819i) q^{54} +(-7.46883 - 4.31213i) q^{55} +(-1.01615 - 2.44283i) q^{56} +(3.76741 + 3.76741i) q^{57} +(6.16171 + 6.16171i) q^{58} +(0.842719 - 0.225806i) q^{59} +(-1.42776 - 0.382567i) q^{60} +5.64703i q^{61} +(-0.196262 + 0.339935i) q^{62} +(1.00882 - 2.44587i) q^{63} -1.00000i q^{64} +(2.41556 - 4.75059i) q^{65} +(5.05291 - 2.91730i) q^{66} +(-3.38202 - 3.38202i) q^{67} +(-6.01349 + 3.47189i) q^{68} +(0.384774 + 0.666449i) q^{69} +(1.49116 - 3.61530i) q^{70} +(-1.36236 + 5.08439i) q^{71} +(0.707107 - 0.707107i) q^{72} +(-2.39782 + 8.94879i) q^{73} +(-2.93233 + 5.07894i) q^{74} +(1.40757 + 2.43799i) q^{75} +(-5.14638 + 1.37897i) q^{76} +(5.92883 + 14.2529i) q^{77} +(1.96624 + 3.02223i) q^{78} +(-3.96454 + 6.86679i) q^{79} +(1.04519 - 1.04519i) q^{80} +1.00000 q^{81} +6.57353 q^{82} +(9.29167 - 9.29167i) q^{83} +(1.61378 + 2.09660i) q^{84} +(-9.91405 - 2.65646i) q^{85} +(-0.0427082 - 0.159389i) q^{86} +(-7.54652 - 4.35699i) q^{87} +5.83459i q^{88} +(-2.30793 + 8.61332i) q^{89} +1.47812 q^{90} +(-8.60051 + 4.12689i) q^{91} -0.769549 q^{92} +(0.101593 - 0.379148i) q^{93} -12.4894i q^{94} +(-6.82024 - 3.93766i) q^{95} +(0.258819 + 0.965926i) q^{96} +(-0.852159 - 0.228335i) q^{97} +(-6.05165 + 3.51817i) q^{98} +(-4.12568 + 4.12568i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

\(n\) \(157\) \(365\) \(379\)
\(\chi(n)\) \(e\left(\frac{5}{6}\right)\) \(1\) \(e\left(\frac{11}{12}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.258819 0.965926i 0.183013 0.683013i
\(3\) 1.00000i 0.577350i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.382567 1.42776i −0.171089 0.638513i −0.997185 0.0749833i \(-0.976110\pi\)
0.826096 0.563530i \(-0.190557\pi\)
\(6\) 0.965926 + 0.258819i 0.394338 + 0.105662i
\(7\) −1.00882 + 2.44587i −0.381297 + 0.924453i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) −1.00000 −0.333333
\(10\) −1.47812 −0.467424
\(11\) 4.12568 4.12568i 1.24394 1.24394i 0.285587 0.958353i \(-0.407811\pi\)
0.958353 0.285587i \(-0.0921885\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 2.68146 + 2.41035i 0.743702 + 0.668511i
\(14\) 2.10143 + 1.60748i 0.561631 + 0.429617i
\(15\) 1.42776 0.382567i 0.368646 0.0987783i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 3.47189 6.01349i 0.842057 1.45849i −0.0460951 0.998937i \(-0.514678\pi\)
0.888152 0.459549i \(-0.151989\pi\)
\(18\) −0.258819 + 0.965926i −0.0610042 + 0.227671i
\(19\) 3.76741 3.76741i 0.864303 0.864303i −0.127532 0.991834i \(-0.540705\pi\)
0.991834 + 0.127532i \(0.0407055\pi\)
\(20\) −0.382567 + 1.42776i −0.0855445 + 0.319257i
\(21\) −2.44587 1.00882i −0.533733 0.220142i
\(22\) −2.91730 5.05291i −0.621970 1.07728i
\(23\) 0.666449 0.384774i 0.138964 0.0802310i −0.428906 0.903349i \(-0.641101\pi\)
0.567870 + 0.823118i \(0.307768\pi\)
\(24\) −0.707107 0.707107i −0.144338 0.144338i
\(25\) 2.43799 1.40757i 0.487598 0.281515i
\(26\) 3.02223 1.96624i 0.592709 0.385612i
\(27\) 1.00000i 0.192450i
\(28\) 2.09660 1.61378i 0.396220 0.304975i
\(29\) −4.35699 + 7.54652i −0.809072 + 1.40135i 0.104435 + 0.994532i \(0.466697\pi\)
−0.913507 + 0.406823i \(0.866637\pi\)
\(30\) 1.47812i 0.269867i
\(31\) −0.379148 0.101593i −0.0680971 0.0182466i 0.224610 0.974449i \(-0.427889\pi\)
−0.292707 + 0.956202i \(0.594556\pi\)
\(32\) 0.965926 0.258819i 0.170753 0.0457532i
\(33\) 4.12568 + 4.12568i 0.718189 + 0.718189i
\(34\) −4.91000 4.91000i −0.842057 0.842057i
\(35\) 3.87805 + 0.504639i 0.655511 + 0.0852995i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) −5.66482 1.51788i −0.931291 0.249539i −0.238886 0.971048i \(-0.576782\pi\)
−0.692405 + 0.721509i \(0.743449\pi\)
\(38\) −2.66396 4.61411i −0.432151 0.748508i
\(39\) −2.41035 + 2.68146i −0.385965 + 0.429377i
\(40\) 1.28009 + 0.739062i 0.202401 + 0.116856i
\(41\) 1.70135 + 6.34954i 0.265707 + 0.991632i 0.961816 + 0.273696i \(0.0882462\pi\)
−0.696109 + 0.717936i \(0.745087\pi\)
\(42\) −1.60748 + 2.10143i −0.248040 + 0.324258i
\(43\) 0.142904 0.0825059i 0.0217927 0.0125820i −0.489064 0.872248i \(-0.662662\pi\)
0.510857 + 0.859666i \(0.329328\pi\)
\(44\) −5.63579 + 1.51010i −0.849627 + 0.227657i
\(45\) 0.382567 + 1.42776i 0.0570297 + 0.212838i
\(46\) −0.199174 0.743327i −0.0293666 0.109598i
\(47\) 12.0638 3.23250i 1.75969 0.471508i 0.773041 0.634355i \(-0.218734\pi\)
0.986651 + 0.162847i \(0.0520678\pi\)
\(48\) −0.866025 + 0.500000i −0.125000 + 0.0721688i
\(49\) −4.96457 4.93488i −0.709225 0.704982i
\(50\) −0.728614 2.71922i −0.103042 0.384556i
\(51\) 6.01349 + 3.47189i 0.842057 + 0.486162i
\(52\) −1.11703 3.42815i −0.154905 0.475399i
\(53\) −4.44772 7.70367i −0.610941 1.05818i −0.991082 0.133252i \(-0.957458\pi\)
0.380141 0.924928i \(-0.375875\pi\)
\(54\) −0.965926 0.258819i −0.131446 0.0352208i
\(55\) −7.46883 4.31213i −1.00710 0.581447i
\(56\) −1.01615 2.44283i −0.135789 0.326437i
\(57\) 3.76741 + 3.76741i 0.499005 + 0.499005i
\(58\) 6.16171 + 6.16171i 0.809072 + 0.809072i
\(59\) 0.842719 0.225806i 0.109713 0.0293974i −0.203545 0.979066i \(-0.565246\pi\)
0.313258 + 0.949668i \(0.398580\pi\)
\(60\) −1.42776 0.382567i −0.184323 0.0493892i
\(61\) 5.64703i 0.723028i 0.932367 + 0.361514i \(0.117740\pi\)
−0.932367 + 0.361514i \(0.882260\pi\)
\(62\) −0.196262 + 0.339935i −0.0249253 + 0.0431718i
\(63\) 1.00882 2.44587i 0.127099 0.308151i
\(64\) 1.00000i 0.125000i
\(65\) 2.41556 4.75059i 0.299614 0.589238i
\(66\) 5.05291 2.91730i 0.621970 0.359094i
\(67\) −3.38202 3.38202i −0.413180 0.413180i 0.469665 0.882845i \(-0.344375\pi\)
−0.882845 + 0.469665i \(0.844375\pi\)
\(68\) −6.01349 + 3.47189i −0.729243 + 0.421029i
\(69\) 0.384774 + 0.666449i 0.0463214 + 0.0802310i
\(70\) 1.49116 3.61530i 0.178227 0.432111i
\(71\) −1.36236 + 5.08439i −0.161682 + 0.603406i 0.836758 + 0.547573i \(0.184448\pi\)
−0.998440 + 0.0558333i \(0.982218\pi\)
\(72\) 0.707107 0.707107i 0.0833333 0.0833333i
\(73\) −2.39782 + 8.94879i −0.280644 + 1.04738i 0.671321 + 0.741167i \(0.265727\pi\)
−0.951964 + 0.306209i \(0.900939\pi\)
\(74\) −2.93233 + 5.07894i −0.340876 + 0.590415i
\(75\) 1.40757 + 2.43799i 0.162533 + 0.281515i
\(76\) −5.14638 + 1.37897i −0.590330 + 0.158178i
\(77\) 5.92883 + 14.2529i 0.675653 + 1.62427i
\(78\) 1.96624 + 3.02223i 0.222633 + 0.342200i
\(79\) −3.96454 + 6.86679i −0.446046 + 0.772574i −0.998124 0.0612181i \(-0.980501\pi\)
0.552079 + 0.833792i \(0.313835\pi\)
\(80\) 1.04519 1.04519i 0.116856 0.116856i
\(81\) 1.00000 0.111111
\(82\) 6.57353 0.725925
\(83\) 9.29167 9.29167i 1.01989 1.01989i 0.0200956 0.999798i \(-0.493603\pi\)
0.999798 0.0200956i \(-0.00639705\pi\)
\(84\) 1.61378 + 2.09660i 0.176078 + 0.228758i
\(85\) −9.91405 2.65646i −1.07533 0.288134i
\(86\) −0.0427082 0.159389i −0.00460534 0.0171874i
\(87\) −7.54652 4.35699i −0.809072 0.467118i
\(88\) 5.83459i 0.621970i
\(89\) −2.30793 + 8.61332i −0.244640 + 0.913010i 0.728924 + 0.684595i \(0.240021\pi\)
−0.973564 + 0.228415i \(0.926646\pi\)
\(90\) 1.47812 0.155808
\(91\) −8.60051 + 4.12689i −0.901578 + 0.432616i
\(92\) −0.769549 −0.0802310
\(93\) 0.101593 0.379148i 0.0105347 0.0393159i
\(94\) 12.4894i 1.28818i
\(95\) −6.82024 3.93766i −0.699741 0.403996i
\(96\) 0.258819 + 0.965926i 0.0264156 + 0.0985844i
\(97\) −0.852159 0.228335i −0.0865237 0.0231839i 0.215297 0.976549i \(-0.430928\pi\)
−0.301821 + 0.953365i \(0.597595\pi\)
\(98\) −6.05165 + 3.51817i −0.611309 + 0.355389i
\(99\) −4.12568 + 4.12568i −0.414647 + 0.414647i
\(100\) −2.81515 −0.281515
\(101\) −11.9682 −1.19088 −0.595439 0.803401i \(-0.703022\pi\)
−0.595439 + 0.803401i \(0.703022\pi\)
\(102\) 4.91000 4.91000i 0.486162 0.486162i
\(103\) 6.40446 11.0928i 0.631050 1.09301i −0.356288 0.934376i \(-0.615958\pi\)
0.987337 0.158634i \(-0.0507090\pi\)
\(104\) −3.60045 + 0.191699i −0.353053 + 0.0187977i
\(105\) −0.504639 + 3.87805i −0.0492477 + 0.378459i
\(106\) −8.59233 + 2.30231i −0.834561 + 0.223620i
\(107\) −1.32962 2.30297i −0.128539 0.222636i 0.794572 0.607170i \(-0.207695\pi\)
−0.923111 + 0.384534i \(0.874362\pi\)
\(108\) −0.500000 + 0.866025i −0.0481125 + 0.0833333i
\(109\) −3.87980 + 14.4796i −0.371617 + 1.38689i 0.486607 + 0.873621i \(0.338234\pi\)
−0.858225 + 0.513274i \(0.828432\pi\)
\(110\) −6.09827 + 6.09827i −0.581447 + 0.581447i
\(111\) 1.51788 5.66482i 0.144071 0.537681i
\(112\) −2.62260 + 0.349274i −0.247812 + 0.0330033i
\(113\) 4.95793 + 8.58738i 0.466403 + 0.807833i 0.999264 0.0383697i \(-0.0122165\pi\)
−0.532861 + 0.846203i \(0.678883\pi\)
\(114\) 4.61411 2.66396i 0.432151 0.249503i
\(115\) −0.804326 0.804326i −0.0750038 0.0750038i
\(116\) 7.54652 4.35699i 0.700677 0.404536i
\(117\) −2.68146 2.41035i −0.247901 0.222837i
\(118\) 0.872447i 0.0803153i
\(119\) 11.2057 + 14.5583i 1.02723 + 1.33456i
\(120\) −0.739062 + 1.28009i −0.0674668 + 0.116856i
\(121\) 23.0425i 2.09477i
\(122\) 5.45461 + 1.46156i 0.493837 + 0.132323i
\(123\) −6.34954 + 1.70135i −0.572519 + 0.153406i
\(124\) 0.277556 + 0.277556i 0.0249253 + 0.0249253i
\(125\) −8.16833 8.16833i −0.730598 0.730598i
\(126\) −2.10143 1.60748i −0.187210 0.143206i
\(127\) −9.01558 5.20515i −0.800003 0.461882i 0.0434689 0.999055i \(-0.486159\pi\)
−0.843472 + 0.537173i \(0.819492\pi\)
\(128\) −0.965926 0.258819i −0.0853766 0.0228766i
\(129\) 0.0825059 + 0.142904i 0.00726424 + 0.0125820i
\(130\) −3.96353 3.56280i −0.347624 0.312478i
\(131\) −3.41500 1.97165i −0.298370 0.172264i 0.343340 0.939211i \(-0.388442\pi\)
−0.641710 + 0.766947i \(0.721775\pi\)
\(132\) −1.51010 5.63579i −0.131438 0.490532i
\(133\) 5.41397 + 13.0152i 0.469451 + 1.12856i
\(134\) −4.14211 + 2.39145i −0.357824 + 0.206590i
\(135\) −1.42776 + 0.382567i −0.122882 + 0.0329261i
\(136\) 1.79718 + 6.70718i 0.154107 + 0.575136i
\(137\) −0.739423 2.75957i −0.0631732 0.235766i 0.927119 0.374767i \(-0.122277\pi\)
−0.990292 + 0.139002i \(0.955611\pi\)
\(138\) 0.743327 0.199174i 0.0632762 0.0169548i
\(139\) −8.27684 + 4.77864i −0.702033 + 0.405319i −0.808104 0.589040i \(-0.799506\pi\)
0.106071 + 0.994359i \(0.466173\pi\)
\(140\) −3.10617 2.37606i −0.262520 0.200813i
\(141\) 3.23250 + 12.0638i 0.272225 + 1.01596i
\(142\) 4.55854 + 2.63188i 0.382544 + 0.220862i
\(143\) 21.0072 1.11849i 1.75671 0.0935326i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) 12.4415 + 3.33368i 1.03321 + 0.276847i
\(146\) 8.02326 + 4.63223i 0.664010 + 0.383366i
\(147\) 4.93488 4.96457i 0.407022 0.409471i
\(148\) 4.14694 + 4.14694i 0.340876 + 0.340876i
\(149\) 7.38712 + 7.38712i 0.605176 + 0.605176i 0.941682 0.336505i \(-0.109245\pi\)
−0.336505 + 0.941682i \(0.609245\pi\)
\(150\) 2.71922 0.728614i 0.222024 0.0594911i
\(151\) 4.33716 + 1.16214i 0.352953 + 0.0945734i 0.430939 0.902381i \(-0.358182\pi\)
−0.0779863 + 0.996954i \(0.524849\pi\)
\(152\) 5.32792i 0.432151i
\(153\) −3.47189 + 6.01349i −0.280686 + 0.486162i
\(154\) 15.3018 2.03787i 1.23305 0.164217i
\(155\) 0.580198i 0.0466027i
\(156\) 3.42815 1.11703i 0.274472 0.0894342i
\(157\) 12.7423 7.35677i 1.01695 0.587134i 0.103728 0.994606i \(-0.466923\pi\)
0.913218 + 0.407472i \(0.133590\pi\)
\(158\) 5.60671 + 5.60671i 0.446046 + 0.446046i
\(159\) 7.70367 4.44772i 0.610941 0.352727i
\(160\) −0.739062 1.28009i −0.0584280 0.101200i
\(161\) 0.268784 + 2.01821i 0.0211831 + 0.159058i
\(162\) 0.258819 0.965926i 0.0203347 0.0758903i
\(163\) −16.2530 + 16.2530i −1.27303 + 1.27303i −0.328542 + 0.944489i \(0.606557\pi\)
−0.944489 + 0.328542i \(0.893443\pi\)
\(164\) 1.70135 6.34954i 0.132853 0.495816i
\(165\) 4.31213 7.46883i 0.335699 0.581447i
\(166\) −6.57021 11.3799i −0.509947 0.883254i
\(167\) −0.821354 + 0.220081i −0.0635583 + 0.0170304i −0.290458 0.956888i \(-0.593808\pi\)
0.226900 + 0.973918i \(0.427141\pi\)
\(168\) 2.44283 1.01615i 0.188469 0.0783977i
\(169\) 1.38041 + 12.9265i 0.106185 + 0.994346i
\(170\) −5.13189 + 8.88869i −0.393598 + 0.681731i
\(171\) −3.76741 + 3.76741i −0.288101 + 0.288101i
\(172\) −0.165012 −0.0125820
\(173\) 9.23304 0.701975 0.350988 0.936380i \(-0.385846\pi\)
0.350988 + 0.936380i \(0.385846\pi\)
\(174\) −6.16171 + 6.16171i −0.467118 + 0.467118i
\(175\) 0.983259 + 7.38299i 0.0743274 + 0.558102i
\(176\) 5.63579 + 1.51010i 0.424813 + 0.113828i
\(177\) 0.225806 + 0.842719i 0.0169726 + 0.0633426i
\(178\) 7.72249 + 4.45858i 0.578825 + 0.334185i
\(179\) 10.4418i 0.780454i 0.920719 + 0.390227i \(0.127604\pi\)
−0.920719 + 0.390227i \(0.872396\pi\)
\(180\) 0.382567 1.42776i 0.0285148 0.106419i
\(181\) 1.21138 0.0900414 0.0450207 0.998986i \(-0.485665\pi\)
0.0450207 + 0.998986i \(0.485665\pi\)
\(182\) 1.76029 + 9.37557i 0.130482 + 0.694964i
\(183\) −5.64703 −0.417440
\(184\) −0.199174 + 0.743327i −0.0146833 + 0.0547988i
\(185\) 8.66869i 0.637335i
\(186\) −0.339935 0.196262i −0.0249253 0.0143906i
\(187\) −10.4858 39.1337i −0.766800 2.86174i
\(188\) −12.0638 3.23250i −0.879846 0.235754i
\(189\) 2.44587 + 1.00882i 0.177911 + 0.0733807i
\(190\) −5.56870 + 5.56870i −0.403996 + 0.403996i
\(191\) −24.8840 −1.80054 −0.900271 0.435329i \(-0.856632\pi\)
−0.900271 + 0.435329i \(0.856632\pi\)
\(192\) 1.00000 0.0721688
\(193\) −13.1115 + 13.1115i −0.943787 + 0.943787i −0.998502 0.0547154i \(-0.982575\pi\)
0.0547154 + 0.998502i \(0.482575\pi\)
\(194\) −0.441110 + 0.764025i −0.0316699 + 0.0548538i
\(195\) 4.75059 + 2.41556i 0.340197 + 0.172982i
\(196\) 1.83201 + 6.75602i 0.130858 + 0.482573i
\(197\) 0.939199 0.251658i 0.0669152 0.0179299i −0.225206 0.974311i \(-0.572306\pi\)
0.292121 + 0.956381i \(0.405639\pi\)
\(198\) 2.91730 + 5.05291i 0.207323 + 0.359094i
\(199\) −0.585830 + 1.01469i −0.0415284 + 0.0719293i −0.886043 0.463604i \(-0.846556\pi\)
0.844514 + 0.535533i \(0.179889\pi\)
\(200\) −0.728614 + 2.71922i −0.0515208 + 0.192278i
\(201\) 3.38202 3.38202i 0.238549 0.238549i
\(202\) −3.09759 + 11.5604i −0.217946 + 0.813384i
\(203\) −14.0624 18.2697i −0.986989 1.28228i
\(204\) −3.47189 6.01349i −0.243081 0.421029i
\(205\) 8.41473 4.85825i 0.587710 0.339315i
\(206\) −9.05727 9.05727i −0.631050 0.631050i
\(207\) −0.666449 + 0.384774i −0.0463214 + 0.0267437i
\(208\) −0.746698 + 3.52738i −0.0517742 + 0.244580i
\(209\) 31.0863i 2.15028i
\(210\) 3.61530 + 1.49116i 0.249480 + 0.102900i
\(211\) 8.43264 14.6058i 0.580527 1.00550i −0.414890 0.909871i \(-0.636180\pi\)
0.995417 0.0956302i \(-0.0304866\pi\)
\(212\) 8.89544i 0.610941i
\(213\) −5.08439 1.36236i −0.348377 0.0933473i
\(214\) −2.56863 + 0.688262i −0.175588 + 0.0470486i
\(215\) −0.172469 0.172469i −0.0117623 0.0117623i
\(216\) 0.707107 + 0.707107i 0.0481125 + 0.0481125i
\(217\) 0.630974 0.824860i 0.0428333 0.0559951i
\(218\) 12.9821 + 7.49520i 0.879256 + 0.507639i
\(219\) −8.94879 2.39782i −0.604703 0.162030i
\(220\) 4.31213 + 7.46883i 0.290724 + 0.503548i
\(221\) 23.8044 7.75643i 1.60125 0.521754i
\(222\) −5.07894 2.93233i −0.340876 0.196805i
\(223\) −0.0655089 0.244483i −0.00438680 0.0163718i 0.963698 0.266996i \(-0.0860309\pi\)
−0.968085 + 0.250624i \(0.919364\pi\)
\(224\) −0.341405 + 2.62363i −0.0228111 + 0.175299i
\(225\) −2.43799 + 1.40757i −0.162533 + 0.0938383i
\(226\) 9.57798 2.56641i 0.637118 0.170715i
\(227\) −0.432323 1.61345i −0.0286943 0.107088i 0.950093 0.311965i \(-0.100987\pi\)
−0.978788 + 0.204877i \(0.934321\pi\)
\(228\) −1.37897 5.14638i −0.0913243 0.340827i
\(229\) 25.9161 6.94421i 1.71259 0.458886i 0.736531 0.676404i \(-0.236463\pi\)
0.976056 + 0.217517i \(0.0697959\pi\)
\(230\) −0.985094 + 0.568744i −0.0649552 + 0.0375019i
\(231\) −14.2529 + 5.92883i −0.937775 + 0.390088i
\(232\) −2.25534 8.41705i −0.148071 0.552607i
\(233\) −14.5436 8.39675i −0.952783 0.550089i −0.0588383 0.998268i \(-0.518740\pi\)
−0.893944 + 0.448178i \(0.852073\pi\)
\(234\) −3.02223 + 1.96624i −0.197570 + 0.128537i
\(235\) −9.23045 15.9876i −0.602128 1.04292i
\(236\) −0.842719 0.225806i −0.0548563 0.0146987i
\(237\) −6.86679 3.96454i −0.446046 0.257525i
\(238\) 16.9625 7.05593i 1.09952 0.457368i
\(239\) −1.66598 1.66598i −0.107763 0.107763i 0.651169 0.758933i \(-0.274279\pi\)
−0.758933 + 0.651169i \(0.774279\pi\)
\(240\) 1.04519 + 1.04519i 0.0674668 + 0.0674668i
\(241\) 14.3501 3.84511i 0.924373 0.247685i 0.234919 0.972015i \(-0.424517\pi\)
0.689454 + 0.724330i \(0.257851\pi\)
\(242\) −22.2573 5.96384i −1.43076 0.383370i
\(243\) 1.00000i 0.0641500i
\(244\) 2.82351 4.89047i 0.180757 0.313080i
\(245\) −5.14653 + 8.97613i −0.328800 + 0.573464i
\(246\) 6.57353i 0.419113i
\(247\) 19.1829 1.02136i 1.22058 0.0649875i
\(248\) 0.339935 0.196262i 0.0215859 0.0124626i
\(249\) 9.29167 + 9.29167i 0.588836 + 0.588836i
\(250\) −10.0041 + 5.77588i −0.632716 + 0.365299i
\(251\) −5.71406 9.89703i −0.360668 0.624695i 0.627403 0.778695i \(-0.284118\pi\)
−0.988071 + 0.154000i \(0.950785\pi\)
\(252\) −2.09660 + 1.61378i −0.132073 + 0.101658i
\(253\) 1.16210 4.33701i 0.0730605 0.272666i
\(254\) −7.36119 + 7.36119i −0.461882 + 0.461882i
\(255\) 2.65646 9.91405i 0.166354 0.620842i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −4.76323 8.25015i −0.297122 0.514630i 0.678354 0.734735i \(-0.262693\pi\)
−0.975476 + 0.220105i \(0.929360\pi\)
\(258\) 0.159389 0.0427082i 0.00992313 0.00265889i
\(259\) 9.42732 12.3242i 0.585785 0.765786i
\(260\) −4.46724 + 2.90635i −0.277046 + 0.180244i
\(261\) 4.35699 7.54652i 0.269691 0.467118i
\(262\) −2.78834 + 2.78834i −0.172264 + 0.172264i
\(263\) 23.1506 1.42753 0.713763 0.700387i \(-0.246989\pi\)
0.713763 + 0.700387i \(0.246989\pi\)
\(264\) −5.83459 −0.359094
\(265\) −9.29744 + 9.29744i −0.571137 + 0.571137i
\(266\) 13.9730 1.86091i 0.856738 0.114099i
\(267\) −8.61332 2.30793i −0.527126 0.141243i
\(268\) 1.23791 + 4.61993i 0.0756171 + 0.282207i
\(269\) −23.8047 13.7436i −1.45140 0.837965i −0.452837 0.891593i \(-0.649588\pi\)
−0.998561 + 0.0536283i \(0.982921\pi\)
\(270\) 1.47812i 0.0899558i
\(271\) −7.23129 + 26.9875i −0.439270 + 1.63938i 0.291368 + 0.956611i \(0.405890\pi\)
−0.730638 + 0.682765i \(0.760777\pi\)
\(272\) 6.94378 0.421029
\(273\) −4.12689 8.60051i −0.249771 0.520527i
\(274\) −2.85691 −0.172592
\(275\) 4.25117 15.8656i 0.256355 0.956730i
\(276\) 0.769549i 0.0463214i
\(277\) −7.25671 4.18966i −0.436013 0.251732i 0.265892 0.964003i \(-0.414334\pi\)
−0.701905 + 0.712271i \(0.747667\pi\)
\(278\) 2.47361 + 9.23162i 0.148357 + 0.553676i
\(279\) 0.379148 + 0.101593i 0.0226990 + 0.00608218i
\(280\) −3.09903 + 2.38537i −0.185203 + 0.142553i
\(281\) −2.04772 + 2.04772i −0.122156 + 0.122156i −0.765542 0.643386i \(-0.777529\pi\)
0.643386 + 0.765542i \(0.277529\pi\)
\(282\) 12.4894 0.743734
\(283\) 0.899767 0.0534856 0.0267428 0.999642i \(-0.491486\pi\)
0.0267428 + 0.999642i \(0.491486\pi\)
\(284\) 3.72203 3.72203i 0.220862 0.220862i
\(285\) 3.93766 6.82024i 0.233247 0.403996i
\(286\) 4.35668 20.5809i 0.257616 1.21697i
\(287\) −17.2465 2.24423i −1.01803 0.132473i
\(288\) −0.965926 + 0.258819i −0.0569177 + 0.0152511i
\(289\) −15.6081 27.0339i −0.918121 1.59023i
\(290\) 6.44017 11.1547i 0.378180 0.655027i
\(291\) 0.228335 0.852159i 0.0133853 0.0499545i
\(292\) 6.55097 6.55097i 0.383366 0.383366i
\(293\) −8.10572 + 30.2510i −0.473541 + 1.76728i 0.153348 + 0.988172i \(0.450994\pi\)
−0.626889 + 0.779108i \(0.715672\pi\)
\(294\) −3.51817 6.05165i −0.205184 0.352939i
\(295\) −0.644793 1.11681i −0.0375413 0.0650234i
\(296\) 5.07894 2.93233i 0.295207 0.170438i
\(297\) −4.12568 4.12568i −0.239396 0.239396i
\(298\) 9.04733 5.22348i 0.524098 0.302588i
\(299\) 2.71449 + 0.574621i 0.156983 + 0.0332312i
\(300\) 2.81515i 0.162533i
\(301\) 0.0576343 + 0.432759i 0.00332199 + 0.0249438i
\(302\) 2.24508 3.88859i 0.129190 0.223763i
\(303\) 11.9682i 0.687553i
\(304\) 5.14638 + 1.37897i 0.295165 + 0.0790892i
\(305\) 8.06259 2.16036i 0.461663 0.123702i
\(306\) 4.91000 + 4.91000i 0.280686 + 0.280686i
\(307\) −6.31072 6.31072i −0.360172 0.360172i 0.503704 0.863876i \(-0.331970\pi\)
−0.863876 + 0.503704i \(0.831970\pi\)
\(308\) 1.99196 15.3078i 0.113502 0.872244i
\(309\) 11.0928 + 6.40446i 0.631050 + 0.364337i
\(310\) 0.560429 + 0.150166i 0.0318302 + 0.00852888i
\(311\) 0.856069 + 1.48276i 0.0485432 + 0.0840793i 0.889276 0.457371i \(-0.151209\pi\)
−0.840733 + 0.541450i \(0.817875\pi\)
\(312\) −0.191699 3.60045i −0.0108528 0.203835i
\(313\) −10.9749 6.33634i −0.620336 0.358151i 0.156664 0.987652i \(-0.449926\pi\)
−0.777000 + 0.629501i \(0.783259\pi\)
\(314\) −3.80814 14.2122i −0.214906 0.802040i
\(315\) −3.87805 0.504639i −0.218504 0.0284332i
\(316\) 6.86679 3.96454i 0.386287 0.223023i
\(317\) 13.3185 3.56867i 0.748039 0.200436i 0.135391 0.990792i \(-0.456771\pi\)
0.612648 + 0.790356i \(0.290104\pi\)
\(318\) −2.30231 8.59233i −0.129107 0.481834i
\(319\) 13.1590 + 49.1101i 0.736763 + 2.74964i
\(320\) −1.42776 + 0.382567i −0.0798141 + 0.0213861i
\(321\) 2.30297 1.32962i 0.128539 0.0742121i
\(322\) 2.01901 + 0.262728i 0.112515 + 0.0146412i
\(323\) −9.57525 35.7353i −0.532781 1.98837i
\(324\) −0.866025 0.500000i −0.0481125 0.0277778i
\(325\) 9.93011 + 2.10207i 0.550823 + 0.116602i
\(326\) 11.4926 + 19.9058i 0.636516 + 1.10248i
\(327\) −14.4796 3.87980i −0.800724 0.214553i
\(328\) −5.69284 3.28676i −0.314335 0.181481i
\(329\) −4.26394 + 32.7676i −0.235079 + 1.80654i
\(330\) −6.09827 6.09827i −0.335699 0.335699i
\(331\) 18.1988 + 18.1988i 1.00030 + 1.00030i 1.00000 0.000297733i \(9.47714e-5\pi\)
0.000297733 1.00000i \(0.499905\pi\)
\(332\) −12.6927 + 3.40099i −0.696600 + 0.186653i
\(333\) 5.66482 + 1.51788i 0.310430 + 0.0831795i
\(334\) 0.850328i 0.0465279i
\(335\) −3.53486 + 6.12256i −0.193130 + 0.334511i
\(336\) −0.349274 2.62260i −0.0190545 0.143074i
\(337\) 33.5630i 1.82829i 0.405383 + 0.914147i \(0.367138\pi\)
−0.405383 + 0.914147i \(0.632862\pi\)
\(338\) 12.8433 + 2.01225i 0.698584 + 0.109452i
\(339\) −8.58738 + 4.95793i −0.466403 + 0.269278i
\(340\) 7.25758 + 7.25758i 0.393598 + 0.393598i
\(341\) −1.98338 + 1.14511i −0.107406 + 0.0620110i
\(342\) 2.66396 + 4.61411i 0.144050 + 0.249503i
\(343\) 17.0784 7.16432i 0.922148 0.386837i
\(344\) −0.0427082 + 0.159389i −0.00230267 + 0.00859368i
\(345\) 0.804326 0.804326i 0.0433035 0.0433035i
\(346\) 2.38969 8.91843i 0.128470 0.479458i
\(347\) 14.7530 25.5529i 0.791983 1.37175i −0.132755 0.991149i \(-0.542382\pi\)
0.924738 0.380605i \(-0.124284\pi\)
\(348\) 4.35699 + 7.54652i 0.233559 + 0.404536i
\(349\) −18.0248 + 4.82973i −0.964844 + 0.258529i −0.706650 0.707564i \(-0.749794\pi\)
−0.258195 + 0.966093i \(0.583128\pi\)
\(350\) 7.38591 + 0.961105i 0.394794 + 0.0513732i
\(351\) 2.41035 2.68146i 0.128655 0.143126i
\(352\) 2.91730 5.05291i 0.155492 0.269321i
\(353\) −17.2943 + 17.2943i −0.920481 + 0.920481i −0.997063 0.0765819i \(-0.975599\pi\)
0.0765819 + 0.997063i \(0.475599\pi\)
\(354\) 0.872447 0.0463700
\(355\) 7.78048 0.412945
\(356\) 6.30539 6.30539i 0.334185 0.334185i
\(357\) −14.5583 + 11.2057i −0.770508 + 0.593070i
\(358\) 10.0860 + 2.70253i 0.533060 + 0.142833i
\(359\) −6.21830 23.2070i −0.328189 1.22482i −0.911067 0.412259i \(-0.864740\pi\)
0.582877 0.812560i \(-0.301927\pi\)
\(360\) −1.28009 0.739062i −0.0674668 0.0389520i
\(361\) 9.38674i 0.494039i
\(362\) 0.313529 1.17011i 0.0164787 0.0614994i
\(363\) 23.0425 1.20942
\(364\) 9.51171 + 0.726263i 0.498549 + 0.0380665i
\(365\) 13.6940 0.716779
\(366\) −1.46156 + 5.45461i −0.0763969 + 0.285117i
\(367\) 7.06387i 0.368731i 0.982858 + 0.184366i \(0.0590230\pi\)
−0.982858 + 0.184366i \(0.940977\pi\)
\(368\) 0.666449 + 0.384774i 0.0347410 + 0.0200577i
\(369\) −1.70135 6.34954i −0.0885690 0.330544i
\(370\) 8.37331 + 2.24362i 0.435308 + 0.116640i
\(371\) 23.3291 3.10695i 1.21119 0.161305i
\(372\) −0.277556 + 0.277556i −0.0143906 + 0.0143906i
\(373\) −11.2090 −0.580381 −0.290191 0.956969i \(-0.593719\pi\)
−0.290191 + 0.956969i \(0.593719\pi\)
\(374\) −40.5142 −2.09494
\(375\) 8.16833 8.16833i 0.421811 0.421811i
\(376\) −6.24471 + 10.8161i −0.322046 + 0.557800i
\(377\) −29.8728 + 9.73379i −1.53853 + 0.501316i
\(378\) 1.60748 2.10143i 0.0826799 0.108086i
\(379\) 3.13887 0.841057i 0.161233 0.0432022i −0.177300 0.984157i \(-0.556736\pi\)
0.338532 + 0.940955i \(0.390070\pi\)
\(380\) 3.93766 + 6.82024i 0.201998 + 0.349871i
\(381\) 5.20515 9.01558i 0.266668 0.461882i
\(382\) −6.44045 + 24.0361i −0.329522 + 1.22979i
\(383\) 4.20655 4.20655i 0.214945 0.214945i −0.591419 0.806364i \(-0.701432\pi\)
0.806364 + 0.591419i \(0.201432\pi\)
\(384\) 0.258819 0.965926i 0.0132078 0.0492922i
\(385\) 18.0816 13.9176i 0.921523 0.709309i
\(386\) 9.27123 + 16.0582i 0.471893 + 0.817343i
\(387\) −0.142904 + 0.0825059i −0.00726424 + 0.00419401i
\(388\) 0.623824 + 0.623824i 0.0316699 + 0.0316699i
\(389\) 8.00851 4.62372i 0.406048 0.234432i −0.283042 0.959107i \(-0.591344\pi\)
0.689090 + 0.724676i \(0.258010\pi\)
\(390\) 3.56280 3.96353i 0.180409 0.200701i
\(391\) 5.34358i 0.270236i
\(392\) 6.99997 0.0210005i 0.353552 0.00106069i
\(393\) 1.97165 3.41500i 0.0994567 0.172264i
\(394\) 0.972331i 0.0489853i
\(395\) 11.3208 + 3.03340i 0.569612 + 0.152627i
\(396\) 5.63579 1.51010i 0.283209 0.0758856i
\(397\) 7.19597 + 7.19597i 0.361155 + 0.361155i 0.864238 0.503083i \(-0.167801\pi\)
−0.503083 + 0.864238i \(0.667801\pi\)
\(398\) 0.828489 + 0.828489i 0.0415284 + 0.0415284i
\(399\) −13.0152 + 5.41397i −0.651576 + 0.271038i
\(400\) 2.43799 + 1.40757i 0.121899 + 0.0703787i
\(401\) 10.7267 + 2.87422i 0.535668 + 0.143532i 0.516504 0.856285i \(-0.327233\pi\)
0.0191636 + 0.999816i \(0.493900\pi\)
\(402\) −2.39145 4.14211i −0.119275 0.206590i
\(403\) −0.771796 1.18630i −0.0384459 0.0590937i
\(404\) 10.3647 + 5.98408i 0.515665 + 0.297719i
\(405\) −0.382567 1.42776i −0.0190099 0.0709459i
\(406\) −21.2868 + 8.85471i −1.05645 + 0.439452i
\(407\) −29.6336 + 17.1089i −1.46888 + 0.848059i
\(408\) −6.70718 + 1.79718i −0.332055 + 0.0889738i
\(409\) 3.35256 + 12.5119i 0.165773 + 0.618675i 0.997940 + 0.0641495i \(0.0204334\pi\)
−0.832167 + 0.554525i \(0.812900\pi\)
\(410\) −2.51481 9.38541i −0.124198 0.463512i
\(411\) 2.75957 0.739423i 0.136119 0.0364731i
\(412\) −11.0928 + 6.40446i −0.546505 + 0.315525i
\(413\) −0.297857 + 2.28898i −0.0146566 + 0.112633i
\(414\) 0.199174 + 0.743327i 0.00978886 + 0.0365325i
\(415\) −16.8210 9.71158i −0.825708 0.476723i
\(416\) 3.21393 + 1.63421i 0.157576 + 0.0801237i
\(417\) −4.77864 8.27684i −0.234011 0.405319i
\(418\) −30.0270 8.04571i −1.46867 0.393529i
\(419\) 19.5436 + 11.2835i 0.954768 + 0.551236i 0.894559 0.446950i \(-0.147490\pi\)
0.0602092 + 0.998186i \(0.480823\pi\)
\(420\) 2.37606 3.10617i 0.115940 0.151566i
\(421\) −14.4017 14.4017i −0.701895 0.701895i 0.262922 0.964817i \(-0.415314\pi\)
−0.964817 + 0.262922i \(0.915314\pi\)
\(422\) −11.9255 11.9255i −0.580527 0.580527i
\(423\) −12.0638 + 3.23250i −0.586564 + 0.157169i
\(424\) 8.59233 + 2.30231i 0.417280 + 0.111810i
\(425\) 19.5478i 0.948206i
\(426\) −2.63188 + 4.55854i −0.127515 + 0.220862i
\(427\) −13.8119 5.69682i −0.668405 0.275688i
\(428\) 2.65924i 0.128539i
\(429\) 1.11849 + 21.0072i 0.0540011 + 1.01424i
\(430\) −0.211230 + 0.121954i −0.0101864 + 0.00588114i
\(431\) −1.31565 1.31565i −0.0633728 0.0633728i 0.674710 0.738083i \(-0.264269\pi\)
−0.738083 + 0.674710i \(0.764269\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) 16.6576 + 28.8518i 0.800514 + 1.38653i 0.919279 + 0.393608i \(0.128773\pi\)
−0.118765 + 0.992922i \(0.537894\pi\)
\(434\) −0.633446 0.822963i −0.0304064 0.0395035i
\(435\) −3.33368 + 12.4415i −0.159838 + 0.596522i
\(436\) 10.5998 10.5998i 0.507639 0.507639i
\(437\) 1.06118 3.96039i 0.0507632 0.189451i
\(438\) −4.63223 + 8.02326i −0.221337 + 0.383366i
\(439\) 12.1665 + 21.0730i 0.580675 + 1.00576i 0.995399 + 0.0958117i \(0.0305447\pi\)
−0.414724 + 0.909947i \(0.636122\pi\)
\(440\) 8.33039 2.23212i 0.397136 0.106412i
\(441\) 4.96457 + 4.93488i 0.236408 + 0.234994i
\(442\) −1.33112 25.0008i −0.0633148 1.18916i
\(443\) 15.5729 26.9730i 0.739890 1.28153i −0.212655 0.977127i \(-0.568211\pi\)
0.952545 0.304399i \(-0.0984556\pi\)
\(444\) −4.14694 + 4.14694i −0.196805 + 0.196805i
\(445\) 13.1807 0.624824
\(446\) −0.253107 −0.0119850
\(447\) −7.38712 + 7.38712i −0.349399 + 0.349399i
\(448\) 2.44587 + 1.00882i 0.115557 + 0.0476621i
\(449\) −11.1005 2.97437i −0.523866 0.140369i −0.0128116 0.999918i \(-0.504078\pi\)
−0.511054 + 0.859549i \(0.670745\pi\)
\(450\) 0.728614 + 2.71922i 0.0343472 + 0.128185i
\(451\) 33.2154 + 19.1769i 1.56405 + 0.903007i
\(452\) 9.91586i 0.466403i
\(453\) −1.16214 + 4.33716i −0.0546020 + 0.203777i
\(454\) −1.67037 −0.0783942
\(455\) 9.18247 + 10.7006i 0.430481 + 0.501654i
\(456\) −5.32792 −0.249503
\(457\) −9.87919 + 36.8696i −0.462129 + 1.72469i 0.204108 + 0.978948i \(0.434571\pi\)
−0.666237 + 0.745740i \(0.732096\pi\)
\(458\) 26.8304i 1.25370i
\(459\) −6.01349 3.47189i −0.280686 0.162054i
\(460\) 0.294404 + 1.09873i 0.0137266 + 0.0512285i
\(461\) 6.32045 + 1.69356i 0.294373 + 0.0788770i 0.402983 0.915207i \(-0.367973\pi\)
−0.108610 + 0.994084i \(0.534640\pi\)
\(462\) 2.03787 + 15.3018i 0.0948105 + 0.711903i
\(463\) −10.5716 + 10.5716i −0.491304 + 0.491304i −0.908717 0.417413i \(-0.862937\pi\)
0.417413 + 0.908717i \(0.362937\pi\)
\(464\) −8.71398 −0.404536
\(465\) −0.580198 −0.0269061
\(466\) −11.8748 + 11.8748i −0.550089 + 0.550089i
\(467\) −0.763124 + 1.32177i −0.0353132 + 0.0611642i −0.883142 0.469106i \(-0.844576\pi\)
0.847829 + 0.530270i \(0.177910\pi\)
\(468\) 1.11703 + 3.42815i 0.0516349 + 0.158466i
\(469\) 11.6838 4.86015i 0.539509 0.224421i
\(470\) −17.8319 + 4.77803i −0.822523 + 0.220394i
\(471\) 7.35677 + 12.7423i 0.338982 + 0.587134i
\(472\) −0.436223 + 0.755561i −0.0200788 + 0.0347775i
\(473\) 0.249185 0.929971i 0.0114575 0.0427601i
\(474\) −5.60671 + 5.60671i −0.257525 + 0.257525i
\(475\) 3.88200 14.4878i 0.178118 0.664746i
\(476\) −2.42528 18.2107i −0.111163 0.834688i
\(477\) 4.44772 + 7.70367i 0.203647 + 0.352727i
\(478\) −2.04040 + 1.17803i −0.0933257 + 0.0538816i
\(479\) 2.47503 + 2.47503i 0.113087 + 0.113087i 0.761386 0.648299i \(-0.224519\pi\)
−0.648299 + 0.761386i \(0.724519\pi\)
\(480\) 1.28009 0.739062i 0.0584280 0.0337334i
\(481\) −11.5313 17.7244i −0.525783 0.808161i
\(482\) 14.8563i 0.676688i
\(483\) −2.01821 + 0.268784i −0.0918320 + 0.0122301i
\(484\) −11.5212 + 19.9554i −0.523693 + 0.907063i
\(485\) 1.30403i 0.0592130i
\(486\) 0.965926 + 0.258819i 0.0438153 + 0.0117403i
\(487\) −4.22270 + 1.13147i −0.191349 + 0.0512718i −0.353221 0.935540i \(-0.614914\pi\)
0.161872 + 0.986812i \(0.448247\pi\)
\(488\) −3.99305 3.99305i −0.180757 0.180757i
\(489\) −16.2530 16.2530i −0.734985 0.734985i
\(490\) 7.33826 + 7.29436i 0.331509 + 0.329526i
\(491\) 0.333214 + 0.192381i 0.0150377 + 0.00868203i 0.507500 0.861652i \(-0.330570\pi\)
−0.492462 + 0.870334i \(0.663903\pi\)
\(492\) 6.34954 + 1.70135i 0.286259 + 0.0767030i
\(493\) 30.2540 + 52.4014i 1.36257 + 2.36004i
\(494\) 3.97835 18.7936i 0.178994 0.845565i
\(495\) 7.46883 + 4.31213i 0.335699 + 0.193816i
\(496\) −0.101593 0.379148i −0.00456164 0.0170243i
\(497\) −11.0614 8.46138i −0.496172 0.379545i
\(498\) 11.3799 6.57021i 0.509947 0.294418i
\(499\) 8.20014 2.19722i 0.367089 0.0983612i −0.0705590 0.997508i \(-0.522478\pi\)
0.437648 + 0.899146i \(0.355812\pi\)
\(500\) 2.98982 + 11.1581i 0.133709 + 0.499007i
\(501\) −0.220081 0.821354i −0.00983250 0.0366954i
\(502\) −11.0387 + 2.95781i −0.492682 + 0.132014i
\(503\) 6.42502 3.70948i 0.286477 0.165398i −0.349875 0.936796i \(-0.613776\pi\)
0.636352 + 0.771399i \(0.280443\pi\)
\(504\) 1.01615 + 2.44283i 0.0452629 + 0.108812i
\(505\) 4.57862 + 17.0877i 0.203746 + 0.760391i
\(506\) −3.88846 2.24500i −0.172863 0.0998025i
\(507\) −12.9265 + 1.38041i −0.574086 + 0.0613060i
\(508\) 5.20515 + 9.01558i 0.230941 + 0.400002i
\(509\) 11.8661 + 3.17952i 0.525957 + 0.140930i 0.512021 0.858973i \(-0.328897\pi\)
0.0139366 + 0.999903i \(0.495564\pi\)
\(510\) −8.88869 5.13189i −0.393598 0.227244i
\(511\) −19.4686 14.8925i −0.861241 0.658803i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) −3.76741 3.76741i −0.166335 0.166335i
\(514\) −9.20185 + 2.46563i −0.405876 + 0.108754i
\(515\) −18.2880 4.90026i −0.805867 0.215931i
\(516\) 0.165012i 0.00726424i
\(517\) 36.4353 63.1078i 1.60242 2.77548i
\(518\) −9.46425 12.2958i −0.415835 0.540247i
\(519\) 9.23304i 0.405285i
\(520\) 1.65111 + 5.06724i 0.0724061 + 0.222213i
\(521\) −9.80499 + 5.66091i −0.429564 + 0.248009i −0.699161 0.714964i \(-0.746443\pi\)
0.269597 + 0.962973i \(0.413110\pi\)
\(522\) −6.16171 6.16171i −0.269691 0.269691i
\(523\) 0.607906 0.350975i 0.0265819 0.0153471i −0.486650 0.873597i \(-0.661781\pi\)
0.513232 + 0.858250i \(0.328448\pi\)
\(524\) 1.97165 + 3.41500i 0.0861320 + 0.149185i
\(525\) −7.38299 + 0.983259i −0.322220 + 0.0429129i
\(526\) 5.99181 22.3617i 0.261255 0.975018i
\(527\) −1.92729 + 1.92729i −0.0839540 + 0.0839540i
\(528\) −1.51010 + 5.63579i −0.0657189 + 0.245266i
\(529\) −11.2039 + 19.4057i −0.487126 + 0.843727i
\(530\) 6.57428 + 11.3870i 0.285568 + 0.494619i
\(531\) −0.842719 + 0.225806i −0.0365709 + 0.00979914i
\(532\) 1.81898 13.9785i 0.0788627 0.606045i
\(533\) −10.7425 + 21.1269i −0.465310 + 0.915106i
\(534\) −4.45858 + 7.72249i −0.192942 + 0.334185i
\(535\) −2.77942 + 2.77942i −0.120165 + 0.120165i
\(536\) 4.78290 0.206590
\(537\) −10.4418 −0.450596
\(538\) −19.4365 + 19.4365i −0.837965 + 0.837965i
\(539\) −40.8420 + 0.122529i −1.75919 + 0.00527771i
\(540\) 1.42776 + 0.382567i 0.0614409 + 0.0164631i
\(541\) −2.08100 7.76639i −0.0894691 0.333903i 0.906654 0.421875i \(-0.138628\pi\)
−0.996123 + 0.0879721i \(0.971961\pi\)
\(542\) 24.1964 + 13.9698i 1.03932 + 0.600053i
\(543\) 1.21138i 0.0519854i
\(544\) 1.79718 6.70718i 0.0770536 0.287568i
\(545\) 22.1577 0.949130
\(546\) −9.37557 + 1.76029i −0.401237 + 0.0753336i
\(547\) 13.2526 0.566641 0.283321 0.959025i \(-0.408564\pi\)
0.283321 + 0.959025i \(0.408564\pi\)
\(548\) −0.739423 + 2.75957i −0.0315866 + 0.117883i
\(549\) 5.64703i 0.241009i
\(550\) −14.2247 8.21262i −0.606542 0.350187i
\(551\) 12.0163 + 44.8454i 0.511911 + 1.91048i
\(552\) −0.743327 0.199174i −0.0316381 0.00847740i
\(553\) −12.7958 16.6241i −0.544132 0.706928i
\(554\) −5.92508 + 5.92508i −0.251732 + 0.251732i
\(555\) −8.66869 −0.367965
\(556\) 9.55728 0.405319
\(557\) 5.97510 5.97510i 0.253173 0.253173i −0.569097 0.822270i \(-0.692707\pi\)
0.822270 + 0.569097i \(0.192707\pi\)
\(558\) 0.196262 0.339935i 0.00830842 0.0143906i
\(559\) 0.582060 + 0.123214i 0.0246185 + 0.00521139i
\(560\) 1.50200 + 3.61081i 0.0634710 + 0.152585i
\(561\) 39.1337 10.4858i 1.65222 0.442712i
\(562\) 1.44795 + 2.50793i 0.0610782 + 0.105791i
\(563\) −6.08867 + 10.5459i −0.256607 + 0.444456i −0.965331 0.261030i \(-0.915938\pi\)
0.708724 + 0.705486i \(0.249271\pi\)
\(564\) 3.23250 12.0638i 0.136113 0.507980i
\(565\) 10.3640 10.3640i 0.436016 0.436016i
\(566\) 0.232877 0.869108i 0.00978854 0.0365313i
\(567\) −1.00882 + 2.44587i −0.0423663 + 0.102717i
\(568\) −2.63188 4.55854i −0.110431 0.191272i
\(569\) −15.5153 + 8.95779i −0.650437 + 0.375530i −0.788624 0.614876i \(-0.789206\pi\)
0.138187 + 0.990406i \(0.455873\pi\)
\(570\) −5.56870 5.56870i −0.233247 0.233247i
\(571\) −32.2814 + 18.6377i −1.35093 + 0.779962i −0.988380 0.152001i \(-0.951428\pi\)
−0.362554 + 0.931963i \(0.618095\pi\)
\(572\) −18.7520 9.53495i −0.784060 0.398676i
\(573\) 24.8840i 1.03954i
\(574\) −6.63149 + 16.0780i −0.276793 + 0.671083i
\(575\) 1.08320 1.87615i 0.0451724 0.0782409i
\(576\) 1.00000i 0.0416667i
\(577\) 3.72390 + 0.997816i 0.155028 + 0.0415396i 0.335498 0.942041i \(-0.391095\pi\)
−0.180470 + 0.983580i \(0.557762\pi\)
\(578\) −30.1525 + 8.07933i −1.25418 + 0.336056i
\(579\) −13.1115 13.1115i −0.544895 0.544895i
\(580\) −9.10778 9.10778i −0.378180 0.378180i
\(581\) 13.3526 + 32.0998i 0.553961 + 1.33173i
\(582\) −0.764025 0.441110i −0.0316699 0.0182846i
\(583\) −50.1328 13.4330i −2.07629 0.556339i
\(584\) −4.63223 8.02326i −0.191683 0.332005i
\(585\) −2.41556 + 4.75059i −0.0998713 + 0.196413i
\(586\) 27.1223 + 15.6591i 1.12041 + 0.646870i
\(587\) 8.69926 + 32.4661i 0.359057 + 1.34002i 0.875302 + 0.483577i \(0.160663\pi\)
−0.516245 + 0.856441i \(0.672671\pi\)
\(588\) −6.75602 + 1.83201i −0.278613 + 0.0755508i
\(589\) −1.81115 + 1.04567i −0.0746270 + 0.0430859i
\(590\) −1.24564 + 0.333769i −0.0512823 + 0.0137411i
\(591\) 0.251658 + 0.939199i 0.0103518 + 0.0386335i
\(592\) −1.51788 5.66482i −0.0623847 0.232823i
\(593\) −46.3688 + 12.4245i −1.90414 + 0.510212i −0.908387 + 0.418130i \(0.862686\pi\)
−0.995751 + 0.0920820i \(0.970648\pi\)
\(594\) −5.05291 + 2.91730i −0.207323 + 0.119698i
\(595\) 16.4988 21.5686i 0.676386 0.884226i
\(596\) −2.70387 10.0910i −0.110755 0.413343i
\(597\) −1.01469 0.585830i −0.0415284 0.0239764i
\(598\) 1.25760 2.47328i 0.0514272 0.101140i
\(599\) 8.59552 + 14.8879i 0.351204 + 0.608302i 0.986461 0.163998i \(-0.0524392\pi\)
−0.635257 + 0.772301i \(0.719106\pi\)
\(600\) −2.71922 0.728614i −0.111012 0.0297455i
\(601\) −8.13421 4.69629i −0.331801 0.191566i 0.324839 0.945769i \(-0.394690\pi\)
−0.656641 + 0.754204i \(0.728023\pi\)
\(602\) 0.432930 + 0.0563358i 0.0176449 + 0.00229607i
\(603\) 3.38202 + 3.38202i 0.137727 + 0.137727i
\(604\) −3.17502 3.17502i −0.129190 0.129190i
\(605\) −32.8991 + 8.81529i −1.33754 + 0.358393i
\(606\) −11.5604 3.09759i −0.469608 0.125831i
\(607\) 7.92139i 0.321519i −0.986994 0.160760i \(-0.948606\pi\)
0.986994 0.160760i \(-0.0513944\pi\)
\(608\) 2.66396 4.61411i 0.108038 0.187127i
\(609\) 18.2697 14.0624i 0.740325 0.569838i
\(610\) 8.34701i 0.337960i
\(611\) 40.1401 + 20.4103i 1.62390 + 0.825713i
\(612\) 6.01349 3.47189i 0.243081 0.140343i
\(613\) −15.6552 15.6552i −0.632307 0.632307i 0.316339 0.948646i \(-0.397546\pi\)
−0.948646 + 0.316339i \(0.897546\pi\)
\(614\) −7.72903 + 4.46236i −0.311918 + 0.180086i
\(615\) 4.85825 + 8.41473i 0.195903 + 0.339315i
\(616\) −14.2707 5.88604i −0.574982 0.237155i
\(617\) 12.1595 45.3797i 0.489521 1.82692i −0.0692532 0.997599i \(-0.522062\pi\)
0.558775 0.829320i \(-0.311272\pi\)
\(618\) 9.05727 9.05727i 0.364337 0.364337i
\(619\) −6.76879 + 25.2615i −0.272061 + 1.01534i 0.685725 + 0.727861i \(0.259485\pi\)
−0.957786 + 0.287483i \(0.907181\pi\)
\(620\) 0.290099 0.502466i 0.0116507 0.0201795i
\(621\) −0.384774 0.666449i −0.0154405 0.0267437i
\(622\) 1.65380 0.443134i 0.0663113 0.0177681i
\(623\) −18.7388 14.3342i −0.750754 0.574286i
\(624\) −3.52738 0.746698i −0.141208 0.0298919i
\(625\) −1.49960 + 2.59739i −0.0599840 + 0.103895i
\(626\) −8.96094 + 8.96094i −0.358151 + 0.358151i
\(627\) 31.0863 1.24147
\(628\) −14.7135 −0.587134
\(629\) −28.7954 + 28.7954i −1.14815 + 1.14815i
\(630\) −1.49116 + 3.61530i −0.0594091 + 0.144037i
\(631\) −30.2532 8.10633i −1.20436 0.322708i −0.399814 0.916596i \(-0.630925\pi\)
−0.804547 + 0.593888i \(0.797592\pi\)
\(632\) −2.05220 7.65891i −0.0816320 0.304655i
\(633\) 14.6058 + 8.43264i 0.580527 + 0.335167i
\(634\) 13.7883i 0.547603i
\(635\) −3.98263 + 14.8634i −0.158046 + 0.589836i
\(636\) −8.89544 −0.352727
\(637\) −1.41750 25.1990i −0.0561634 0.998422i
\(638\) 50.8425 2.01287
\(639\) 1.36236 5.08439i 0.0538941 0.201135i
\(640\) 1.47812i 0.0584280i
\(641\) −22.3360 12.8957i −0.882218 0.509349i −0.0108290 0.999941i \(-0.503447\pi\)
−0.871389 + 0.490592i \(0.836780\pi\)
\(642\) −0.688262 2.56863i −0.0271635 0.101376i
\(643\) 17.7658 + 4.76034i 0.700616 + 0.187730i 0.591507 0.806300i \(-0.298533\pi\)
0.109110 + 0.994030i \(0.465200\pi\)
\(644\) 0.776334 1.88222i 0.0305918 0.0741697i
\(645\) 0.172469 0.172469i 0.00679096 0.00679096i
\(646\) −36.9959 −1.45559
\(647\) 3.70498 0.145658 0.0728289 0.997344i \(-0.476797\pi\)
0.0728289 + 0.997344i \(0.476797\pi\)
\(648\) −0.707107 + 0.707107i −0.0277778 + 0.0277778i
\(649\) 2.54519 4.40839i 0.0999073 0.173045i
\(650\) 4.60054 9.04769i 0.180448 0.354880i
\(651\) 0.824860 + 0.630974i 0.0323288 + 0.0247298i
\(652\) 22.2020 5.94900i 0.869497 0.232981i
\(653\) 6.05347 + 10.4849i 0.236891 + 0.410307i 0.959820 0.280615i \(-0.0905384\pi\)
−0.722930 + 0.690921i \(0.757205\pi\)
\(654\) −7.49520 + 12.9821i −0.293085 + 0.507639i
\(655\) −1.50858 + 5.63009i −0.0589450 + 0.219986i
\(656\) −4.64819 + 4.64819i −0.181481 + 0.181481i
\(657\) 2.39782 8.94879i 0.0935479 0.349125i
\(658\) 30.5475 + 12.5995i 1.19087 + 0.491181i
\(659\) 6.59589 + 11.4244i 0.256939 + 0.445032i 0.965420 0.260698i \(-0.0839526\pi\)
−0.708481 + 0.705730i \(0.750619\pi\)
\(660\) −7.46883 + 4.31213i −0.290724 + 0.167849i
\(661\) −8.93254 8.93254i −0.347436 0.347436i 0.511718 0.859154i \(-0.329009\pi\)
−0.859154 + 0.511718i \(0.829009\pi\)
\(662\) 22.2889 12.8685i 0.866283 0.500149i
\(663\) 7.75643 + 23.8044i 0.301235 + 0.924485i
\(664\) 13.1404i 0.509947i
\(665\) 16.5114 12.7090i 0.640284 0.492835i
\(666\) 2.93233 5.07894i 0.113625 0.196805i
\(667\) 6.70583i 0.259651i
\(668\) 0.821354 + 0.220081i 0.0317791 + 0.00851519i
\(669\) 0.244483 0.0655089i 0.00945225 0.00253272i
\(670\) 4.99905 + 4.99905i 0.193130 + 0.193130i
\(671\) 23.2978 + 23.2978i 0.899403 + 0.899403i
\(672\) −2.62363 0.341405i −0.101209 0.0131700i
\(673\) 33.2503 + 19.1971i 1.28170 + 0.739993i 0.977160 0.212505i \(-0.0681623\pi\)
0.304545 + 0.952498i \(0.401496\pi\)
\(674\) 32.4194 + 8.68675i 1.24875 + 0.334601i
\(675\) −1.40757 2.43799i −0.0541775 0.0938383i
\(676\) 5.26778 11.8849i 0.202607 0.457111i
\(677\) −30.8327 17.8013i −1.18500 0.684158i −0.227831 0.973701i \(-0.573163\pi\)
−0.957165 + 0.289543i \(0.906497\pi\)
\(678\) 2.56641 + 9.57798i 0.0985625 + 0.367840i
\(679\) 1.41815 1.85392i 0.0544237 0.0711471i
\(680\) 8.88869 5.13189i 0.340866 0.196799i
\(681\) 1.61345 0.432323i 0.0618276 0.0165666i
\(682\) 0.592751 + 2.21218i 0.0226976 + 0.0847086i
\(683\) 4.33967 + 16.1959i 0.166053 + 0.619718i 0.997904 + 0.0647182i \(0.0206149\pi\)
−0.831851 + 0.554999i \(0.812718\pi\)
\(684\) 5.14638 1.37897i 0.196777 0.0527261i
\(685\) −3.65712 + 2.11144i −0.139731 + 0.0806738i
\(686\) −2.49998 18.3508i −0.0954498 0.700635i
\(687\) 6.94421 + 25.9161i 0.264938 + 0.988763i
\(688\) 0.142904 + 0.0825059i 0.00544818 + 0.00314551i
\(689\) 6.64221 31.3776i 0.253048 1.19539i
\(690\) −0.568744 0.985094i −0.0216517 0.0375019i
\(691\) 1.39827 + 0.374666i 0.0531928 + 0.0142530i 0.285317 0.958433i \(-0.407901\pi\)
−0.232125 + 0.972686i \(0.574568\pi\)
\(692\) −7.99605 4.61652i −0.303964 0.175494i
\(693\) −5.92883 14.2529i −0.225218 0.541425i
\(694\) −20.8639 20.8639i −0.791983 0.791983i
\(695\) 9.98919 + 9.98919i 0.378911 + 0.378911i
\(696\) 8.41705 2.25534i 0.319048 0.0854885i
\(697\) 44.0898 + 11.8138i 1.67002 + 0.447481i
\(698\) 18.6606i 0.706315i
\(699\) 8.39675 14.5436i 0.317594 0.550089i
\(700\) 2.83997 6.88549i 0.107341 0.260247i
\(701\) 22.7118i 0.857812i −0.903349 0.428906i \(-0.858899\pi\)
0.903349 0.428906i \(-0.141101\pi\)
\(702\) −1.96624 3.02223i −0.0742110 0.114067i
\(703\) −27.0602 + 15.6232i −1.02059 + 0.589240i
\(704\) −4.12568 4.12568i −0.155492 0.155492i
\(705\) 15.9876 9.23045i 0.602128 0.347639i
\(706\) 12.2289 + 21.1811i 0.460241 + 0.797160i
\(707\) 12.0737 29.2726i 0.454078 1.10091i
\(708\) 0.225806 0.842719i 0.00848630 0.0316713i
\(709\) 15.5796 15.5796i 0.585105 0.585105i −0.351197 0.936302i \(-0.614225\pi\)
0.936302 + 0.351197i \(0.114225\pi\)
\(710\) 2.01374 7.51537i 0.0755742 0.282047i
\(711\) 3.96454 6.86679i 0.148682 0.257525i
\(712\) −4.45858 7.72249i −0.167092 0.289413i
\(713\) −0.291773 + 0.0781804i −0.0109270 + 0.00292788i
\(714\) 7.05593 + 16.9625i 0.264062 + 0.634806i
\(715\) −9.63358 29.5653i −0.360275 1.10568i
\(716\) 5.22088 9.04284i 0.195114 0.337947i
\(717\) 1.66598 1.66598i 0.0622171 0.0622171i
\(718\) −24.0257 −0.896630
\(719\) 22.5463 0.840835 0.420417 0.907331i \(-0.361884\pi\)
0.420417 + 0.907331i \(0.361884\pi\)
\(720\) −1.04519 + 1.04519i −0.0389520 + 0.0389520i
\(721\) 20.6707 + 26.8551i 0.769819 + 1.00014i
\(722\) −9.06689 2.42947i −0.337435 0.0904154i
\(723\) 3.84511 + 14.3501i 0.143001 + 0.533687i
\(724\) −1.04909 0.605691i −0.0389890 0.0225103i
\(725\) 24.5311i 0.911063i
\(726\) 5.96384 22.2573i 0.221339 0.826047i
\(727\) 22.2011 0.823394 0.411697 0.911321i \(-0.364936\pi\)
0.411697 + 0.911321i \(0.364936\pi\)
\(728\) 3.16333 8.99963i 0.117241 0.333549i
\(729\) −1.00000 −0.0370370
\(730\) 3.54428 13.2274i 0.131180 0.489569i
\(731\) 1.14581i 0.0423791i
\(732\) 4.89047 + 2.82351i 0.180757 + 0.104360i
\(733\) −6.11108 22.8069i −0.225718 0.842390i −0.982116 0.188279i \(-0.939709\pi\)
0.756398 0.654112i \(-0.226957\pi\)
\(734\) 6.82318 + 1.82827i 0.251848 + 0.0674825i
\(735\) −8.97613 5.14653i −0.331090 0.189833i
\(736\) 0.544153 0.544153i 0.0200577 0.0200577i
\(737\) −27.9063 −1.02794
\(738\) −6.57353 −0.241975
\(739\) −17.7024 + 17.7024i −0.651192 + 0.651192i −0.953280 0.302088i \(-0.902316\pi\)
0.302088 + 0.953280i \(0.402316\pi\)
\(740\) 4.33434 7.50731i 0.159334 0.275974i
\(741\) 1.02136 + 19.1829i 0.0375205 + 0.704702i
\(742\) 3.03694 23.3383i 0.111490 0.856778i
\(743\) −13.5455 + 3.62950i −0.496936 + 0.133154i −0.498578 0.866845i \(-0.666144\pi\)
0.00164161 + 0.999999i \(0.499477\pi\)
\(744\) 0.196262 + 0.339935i 0.00719530 + 0.0124626i
\(745\) 7.72095 13.3731i 0.282874 0.489952i
\(746\) −2.90111 + 10.8271i −0.106217 + 0.396408i
\(747\) −9.29167 + 9.29167i −0.339965 + 0.339965i
\(748\) −10.4858 + 39.1337i −0.383400 + 1.43087i
\(749\) 6.97411 0.928804i 0.254828 0.0339378i
\(750\) −5.77588 10.0041i −0.210905 0.365299i
\(751\) −27.8132 + 16.0580i −1.01492 + 0.585964i −0.912628 0.408791i \(-0.865951\pi\)
−0.102291 + 0.994755i \(0.532617\pi\)
\(752\) 8.83135 + 8.83135i 0.322046 + 0.322046i
\(753\) 9.89703 5.71406i 0.360668 0.208232i
\(754\) 1.67046 + 31.3742i 0.0608346 + 1.14258i
\(755\) 6.63701i 0.241545i
\(756\) −1.61378 2.09660i −0.0586925 0.0762525i
\(757\) 1.29840 2.24889i 0.0471910 0.0817372i −0.841465 0.540312i \(-0.818306\pi\)
0.888656 + 0.458574i \(0.151640\pi\)
\(758\) 3.24959i 0.118031i
\(759\) 4.33701 + 1.16210i 0.157424 + 0.0421815i
\(760\) 7.60698 2.03829i 0.275934 0.0739364i
\(761\) −10.2208 10.2208i −0.370504 0.370504i 0.497157 0.867661i \(-0.334377\pi\)
−0.867661 + 0.497157i \(0.834377\pi\)
\(762\) −7.36119 7.36119i −0.266668 0.266668i
\(763\) −31.5013 24.0968i −1.14042 0.872362i
\(764\) 21.5502 + 12.4420i 0.779658 + 0.450136i
\(765\) 9.91405 + 2.65646i 0.358443 + 0.0960445i
\(766\) −2.97448 5.15195i −0.107472 0.186148i
\(767\) 2.80399 + 1.42576i 0.101246 + 0.0514812i
\(768\) −0.866025 0.500000i −0.0312500 0.0180422i
\(769\) 5.20930 + 19.4414i 0.187852 + 0.701074i 0.994002 + 0.109363i \(0.0348809\pi\)
−0.806150 + 0.591712i \(0.798452\pi\)
\(770\) −8.76354 21.0676i −0.315816 0.759225i
\(771\) 8.25015 4.76323i 0.297122 0.171543i
\(772\) 17.9106 4.79914i 0.644618 0.172725i
\(773\) −6.98843 26.0812i −0.251356 0.938075i −0.970081 0.242780i \(-0.921941\pi\)
0.718725 0.695294i \(-0.244726\pi\)
\(774\