Properties

Label 546.2.by.b.535.7
Level $546$
Weight $2$
Character 546.535
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 535.7
Character \(\chi\) \(=\) 546.535
Dual form 546.2.by.b.397.7

$q$-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 \(\left(\mathbb{Z}/546\mathbb{Z}\right)^\times\).

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

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 0.826096 + 0.563530i \(0.190557\pi\)
−0.997185 + 0.0749833i \(0.976110\pi\)
\(6\) 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 0.958353 + 0.285587i \(0.0921885\pi\)
0.285587 + 0.958353i \(0.407811\pi\)
\(12\) 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 0.888152 + 0.459549i \(0.151989\pi\)
−0.0460951 + 0.998937i \(0.514678\pi\)
\(18\) −0.258819 0.965926i −0.0610042 0.227671i
\(19\) 3.76741 + 3.76741i 0.864303 + 0.864303i 0.991834 0.127532i \(-0.0407055\pi\)
−0.127532 + 0.991834i \(0.540705\pi\)
\(20\) −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 0.567870 0.823118i \(-0.307768\pi\)
−0.428906 + 0.903349i \(0.641101\pi\)
\(24\) −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 −0.913507 0.406823i \(-0.866637\pi\)
0.104435 0.994532i \(-0.466697\pi\)
\(30\) 1.47812i 0.269867i
\(31\) −0.379148 + 0.101593i −0.0680971 + 0.0182466i −0.292707 0.956202i \(-0.594556\pi\)
0.224610 + 0.974449i \(0.427889\pi\)
\(32\) 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 −0.692405 0.721509i \(-0.743449\pi\)
−0.238886 + 0.971048i \(0.576782\pi\)
\(38\) −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 −0.696109 0.717936i \(-0.745087\pi\)
0.961816 0.273696i \(-0.0882462\pi\)
\(42\) −1.60748 2.10143i −0.248040 0.324258i
\(43\) 0.142904 + 0.0825059i 0.0217927 + 0.0125820i 0.510857 0.859666i \(-0.329328\pi\)
−0.489064 + 0.872248i \(0.662662\pi\)
\(44\) −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 0.986651 0.162847i \(-0.0520678\pi\)
0.773041 + 0.634355i \(0.218734\pi\)
\(48\) −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 0.380141 + 0.924928i \(0.375875\pi\)
−0.991082 + 0.133252i \(0.957458\pi\)
\(54\) −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 0.313258 0.949668i \(-0.398580\pi\)
−0.203545 + 0.979066i \(0.565246\pi\)
\(60\) −1.42776 + 0.382567i −0.184323 + 0.0493892i
\(61\) 5.64703i 0.723028i −0.932367 0.361514i \(-0.882260\pi\)
0.932367 0.361514i \(-0.117740\pi\)
\(62\) −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 −0.882845 0.469665i \(-0.844375\pi\)
0.469665 + 0.882845i \(0.344375\pi\)
\(68\) −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 −0.998440 0.0558333i \(-0.982218\pi\)
0.836758 0.547573i \(-0.184448\pi\)
\(72\) 0.707107 + 0.707107i 0.0833333 + 0.0833333i
\(73\) −2.39782 8.94879i −0.280644 1.04738i −0.951964 0.306209i \(-0.900939\pi\)
0.671321 0.741167i \(-0.265727\pi\)
\(74\) −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 0.552079 0.833792i \(-0.313835\pi\)
−0.998124 + 0.0612181i \(0.980501\pi\)
\(80\) 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 0.999798 + 0.0200956i \(0.00639705\pi\)
0.0200956 + 0.999798i \(0.493603\pi\)
\(84\) 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 −0.973564 0.228415i \(-0.926646\pi\)
0.728924 0.684595i \(-0.240021\pi\)
\(90\) 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 −0.301821 0.953365i \(-0.597595\pi\)
0.215297 + 0.976549i \(0.430928\pi\)
\(98\) −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 0.987337 + 0.158634i \(0.0507090\pi\)
−0.356288 + 0.934376i \(0.615958\pi\)
\(104\) −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 −0.923111 0.384534i \(-0.874362\pi\)
0.794572 + 0.607170i \(0.207695\pi\)
\(108\) −0.500000 0.866025i −0.0481125 0.0833333i
\(109\) −3.87980 14.4796i −0.371617 1.38689i −0.858225 0.513274i \(-0.828432\pi\)
0.486607 0.873621i \(-0.338234\pi\)
\(110\) −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 −0.532861 0.846203i \(-0.678883\pi\)
0.999264 + 0.0383697i \(0.0122165\pi\)
\(114\) 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 −0.843472 0.537173i \(-0.819492\pi\)
0.0434689 + 0.999055i \(0.486159\pi\)
\(128\) −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 −0.641710 0.766947i \(-0.721775\pi\)
0.343340 + 0.939211i \(0.388442\pi\)
\(132\) −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 −0.990292 0.139002i \(-0.955611\pi\)
0.927119 + 0.374767i \(0.122277\pi\)
\(138\) 0.743327 + 0.199174i 0.0632762 + 0.0169548i
\(139\) −8.27684 4.77864i −0.702033 0.405319i 0.106071 0.994359i \(-0.466173\pi\)
−0.808104 + 0.589040i \(0.799506\pi\)
\(140\) −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 −0.336505 0.941682i \(-0.609245\pi\)
0.941682 + 0.336505i \(0.109245\pi\)
\(150\) 2.71922 + 0.728614i 0.222024 + 0.0594911i
\(151\) 4.33716 1.16214i 0.352953 0.0945734i −0.0779863 0.996954i \(-0.524849\pi\)
0.430939 + 0.902381i \(0.358182\pi\)
\(152\) 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 0.913218 0.407472i \(-0.133590\pi\)
0.103728 + 0.994606i \(0.466923\pi\)
\(158\) 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 −0.944489 0.328542i \(-0.893443\pi\)
−0.328542 0.944489i \(-0.606557\pi\)
\(164\) 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 0.226900 0.973918i \(-0.427141\pi\)
−0.290458 + 0.956888i \(0.593808\pi\)
\(168\) 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 \(-0.872396\pi\)
0.920719 0.390227i \(-0.127604\pi\)
\(180\) 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 0.0547154 0.998502i \(-0.482575\pi\)
−0.998502 + 0.0547154i \(0.982575\pi\)
\(194\) −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 0.292121 0.956381i \(-0.405639\pi\)
−0.225206 + 0.974311i \(0.572306\pi\)
\(198\) 2.91730 5.05291i 0.207323 0.359094i
\(199\) −0.585830 1.01469i −0.0415284 0.0719293i 0.844514 0.535533i \(-0.179889\pi\)
−0.886043 + 0.463604i \(0.846556\pi\)
\(200\) −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 0.995417 + 0.0956302i \(0.0304866\pi\)
−0.414890 + 0.909871i \(0.636180\pi\)
\(212\) 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 −0.968085 0.250624i \(-0.919364\pi\)
0.963698 + 0.266996i \(0.0860309\pi\)
\(224\) −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 −0.978788 0.204877i \(-0.934321\pi\)
0.950093 + 0.311965i \(0.100987\pi\)
\(228\) −1.37897 + 5.14638i −0.0913243 + 0.340827i
\(229\) 25.9161 + 6.94421i 1.71259 + 0.458886i 0.976056 0.217517i \(-0.0697959\pi\)
0.736531 + 0.676404i \(0.236463\pi\)
\(230\) −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 −0.893944 0.448178i \(-0.852073\pi\)
−0.0588383 + 0.998268i \(0.518740\pi\)
\(234\) −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 −0.758933 0.651169i \(-0.774279\pi\)
0.651169 + 0.758933i \(0.274279\pi\)
\(240\) 1.04519 1.04519i 0.0674668 0.0674668i
\(241\) 14.3501 + 3.84511i 0.924373 + 0.247685i 0.689454 0.724330i \(-0.257851\pi\)
0.234919 + 0.972015i \(0.424517\pi\)
\(242\) −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 −0.988071 0.154000i \(-0.950785\pi\)
0.627403 + 0.778695i \(0.284118\pi\)
\(252\) −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 −0.975476 0.220105i \(-0.929360\pi\)
0.678354 + 0.734735i \(0.262693\pi\)
\(258\) 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 −0.998561 0.0536283i \(-0.982921\pi\)
−0.452837 + 0.891593i \(0.649588\pi\)
\(270\) 1.47812i 0.0899558i
\(271\) −7.23129 26.9875i −0.439270 1.63938i −0.730638 0.682765i \(-0.760777\pi\)
0.291368 0.956611i \(-0.405890\pi\)
\(272\) 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 −0.701905 0.712271i \(-0.747667\pi\)
0.265892 + 0.964003i \(0.414334\pi\)
\(278\) 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 0.643386 0.765542i \(-0.277529\pi\)
−0.765542 + 0.643386i \(0.777529\pi\)
\(282\) 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 −0.626889 0.779108i \(-0.715672\pi\)
0.153348 0.988172i \(-0.450994\pi\)
\(294\) −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 −0.863876 0.503704i \(-0.831970\pi\)
0.503704 + 0.863876i \(0.331970\pi\)
\(308\) 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 −0.840733 0.541450i \(-0.817875\pi\)
0.889276 + 0.457371i \(0.151209\pi\)
\(312\) −0.191699 + 3.60045i −0.0108528 + 0.203835i
\(313\) −10.9749 + 6.33634i −0.620336 + 0.358151i −0.777000 0.629501i \(-0.783259\pi\)
0.156664 + 0.987652i \(0.449926\pi\)
\(314\) −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 0.612648 0.790356i \(-0.290104\pi\)
0.135391 + 0.990792i \(0.456771\pi\)
\(318\) −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 0.000297733 1.00000i \(-0.499905\pi\)
1.00000 0.000297733i \(-9.47714e-5\pi\)
\(332\) −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 \(-0.632862\pi\)
0.405383 0.914147i \(-0.367138\pi\)
\(338\) 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 0.924738 + 0.380605i \(0.124284\pi\)
−0.132755 + 0.991149i \(0.542382\pi\)
\(348\) 4.35699 7.54652i 0.233559 0.404536i
\(349\) −18.0248 4.82973i −0.964844 0.258529i −0.258195 0.966093i \(-0.583128\pi\)
−0.706650 + 0.707564i \(0.749794\pi\)
\(350\) 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 0.0765819 0.997063i \(-0.475599\pi\)
−0.997063 + 0.0765819i \(0.975599\pi\)
\(354\) 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 0.582877 + 0.812560i \(0.301927\pi\)
−0.911067 + 0.412259i \(0.864740\pi\)
\(360\) −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 \(-0.940977\pi\)
0.982858 0.184366i \(-0.0590230\pi\)
\(368\) 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 0.338532 0.940955i \(-0.390070\pi\)
−0.177300 + 0.984157i \(0.556736\pi\)
\(380\) 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 0.806364 0.591419i \(-0.201432\pi\)
−0.591419 + 0.806364i \(0.701432\pi\)
\(384\) 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 0.689090 0.724676i \(-0.258010\pi\)
−0.283042 + 0.959107i \(0.591344\pi\)
\(390\) 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 −0.503083 0.864238i \(-0.667801\pi\)
0.864238 + 0.503083i \(0.167801\pi\)
\(398\) 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 0.0191636 0.999816i \(-0.493900\pi\)
0.516504 + 0.856285i \(0.327233\pi\)
\(402\) −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 −0.832167 0.554525i \(-0.812900\pi\)
0.997940 0.0641495i \(-0.0204334\pi\)
\(410\) −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 0.0602092 0.998186i \(-0.480823\pi\)
0.894559 + 0.446950i \(0.147490\pi\)
\(420\) 2.37606 + 3.10617i 0.115940 + 0.151566i
\(421\) −14.4017 + 14.4017i −0.701895 + 0.701895i −0.964817 0.262922i \(-0.915314\pi\)
0.262922 + 0.964817i \(0.415314\pi\)
\(422\) −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 −0.738083 0.674710i \(-0.764269\pi\)
0.674710 + 0.738083i \(0.264269\pi\)
\(432\) 0.866025 + 0.500000i 0.0416667 + 0.0240563i
\(433\) 16.6576 28.8518i 0.800514 1.38653i −0.118765 0.992922i \(-0.537894\pi\)
0.919279 0.393608i \(-0.128773\pi\)
\(434\) −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 −0.414724 0.909947i \(-0.636122\pi\)
0.995399 0.0958117i \(-0.0305447\pi\)
\(440\) 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 0.952545 + 0.304399i \(0.0984556\pi\)
−0.212655 + 0.977127i \(0.568211\pi\)
\(444\) −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 −0.511054 0.859549i \(-0.670745\pi\)
−0.0128116 + 0.999918i \(0.504078\pi\)
\(450\) 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 −0.666237 0.745740i \(-0.732096\pi\)
0.204108 0.978948i \(-0.434571\pi\)
\(458\) 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 −0.108610 0.994084i \(-0.534640\pi\)
0.402983 + 0.915207i \(0.367973\pi\)
\(462\) 2.03787 15.3018i 0.0948105 0.711903i
\(463\) −10.5716 10.5716i −0.491304 0.491304i 0.417413 0.908717i \(-0.362937\pi\)
−0.908717 + 0.417413i \(0.862937\pi\)
\(464\) −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 0.847829 0.530270i \(-0.177910\pi\)
−0.883142 + 0.469106i \(0.844576\pi\)
\(468\) 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 −0.648299 0.761386i \(-0.724519\pi\)
0.761386 + 0.648299i \(0.224519\pi\)
\(480\) 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 0.161872 0.986812i \(-0.448247\pi\)
−0.353221 + 0.935540i \(0.614914\pi\)
\(488\) −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 −0.492462 0.870334i \(-0.663903\pi\)
0.507500 + 0.861652i \(0.330570\pi\)
\(492\) 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 0.437648 0.899146i \(-0.355812\pi\)
−0.0705590 + 0.997508i \(0.522478\pi\)
\(500\) 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 0.636352 0.771399i \(-0.280443\pi\)
−0.349875 + 0.936796i \(0.613776\pi\)
\(504\) 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 0.0139366 0.999903i \(-0.495564\pi\)
0.512021 + 0.858973i \(0.328897\pi\)
\(510\) −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 0.269597 0.962973i \(-0.413110\pi\)
−0.699161 + 0.714964i \(0.746443\pi\)
\(522\) −6.16171 + 6.16171i −0.269691 + 0.269691i
\(523\) 0.607906 + 0.350975i 0.0265819 + 0.0153471i 0.513232 0.858250i \(-0.328448\pi\)
−0.486650 + 0.873597i \(0.661781\pi\)
\(524\) 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 −0.996123 0.0879721i \(-0.971961\pi\)
0.906654 + 0.421875i \(0.138628\pi\)
\(542\) 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 0.822270 0.569097i \(-0.192707\pi\)
−0.569097 + 0.822270i \(0.692707\pi\)
\(558\) 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 0.708724 0.705486i \(-0.249271\pi\)
−0.965331 + 0.261030i \(0.915938\pi\)
\(564\) 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 0.138187 0.990406i \(-0.455873\pi\)
−0.788624 + 0.614876i \(0.789206\pi\)
\(570\) −5.56870 + 5.56870i −0.233247 + 0.233247i
\(571\) −32.2814 18.6377i −1.35093 0.779962i −0.362554 0.931963i \(-0.618095\pi\)
−0.988380 + 0.152001i \(0.951428\pi\)
\(572\) −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 −0.180470 0.983580i \(-0.557762\pi\)
0.335498 + 0.942041i \(0.391095\pi\)
\(578\) −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 −0.516245 0.856441i \(-0.672671\pi\)
0.875302 0.483577i \(-0.160663\pi\)
\(588\) −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 −0.995751 0.0920820i \(-0.970648\pi\)
−0.908387 0.418130i \(-0.862686\pi\)
\(594\) −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 −0.635257 0.772301i \(-0.719106\pi\)
0.986461 + 0.163998i \(0.0524392\pi\)
\(600\) −2.71922 + 0.728614i −0.111012 + 0.0297455i
\(601\) −8.13421 + 4.69629i −0.331801 + 0.191566i −0.656641 0.754204i \(-0.728023\pi\)
0.324839 + 0.945769i \(0.394690\pi\)
\(602\) 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 \(0.0513944\pi\)
−0.986994 + 0.160760i \(0.948606\pi\)
\(608\) 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 −0.948646 0.316339i \(-0.897546\pi\)
0.316339 + 0.948646i \(0.397546\pi\)
\(614\) −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 0.558775 + 0.829320i \(0.311272\pi\)
−0.0692532 + 0.997599i \(0.522062\pi\)
\(618\) 9.05727 + 9.05727i 0.364337 + 0.364337i
\(619\) −6.76879 25.2615i −0.272061 1.01534i −0.957786 0.287483i \(-0.907181\pi\)
0.685725 0.727861i \(-0.259485\pi\)
\(620\) 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 −0.804547 0.593888i \(-0.797592\pi\)
−0.399814 + 0.916596i \(0.630925\pi\)
\(632\) −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 −0.871389 0.490592i \(-0.836780\pi\)
−0.0108290 + 0.999941i \(0.503447\pi\)
\(642\) −0.688262 + 2.56863i −0.0271635 + 0.101376i
\(643\) 17.7658 4.76034i 0.700616 0.187730i 0.109110 0.994030i \(-0.465200\pi\)
0.591507 + 0.806300i \(0.298533\pi\)
\(644\) 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 −0.722930 0.690921i \(-0.757205\pi\)
0.959820 + 0.280615i \(0.0905384\pi\)
\(654\) −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 −0.708481 0.705730i \(-0.750619\pi\)
0.965420 + 0.260698i \(0.0839526\pi\)
\(660\) −7.46883 4.31213i −0.290724 0.167849i
\(661\) −8.93254 + 8.93254i −0.347436 + 0.347436i −0.859154 0.511718i \(-0.829009\pi\)
0.511718 + 0.859154i \(0.329009\pi\)
\(662\) 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 0.304545 0.952498i \(-0.401496\pi\)
0.977160 + 0.212505i \(0.0681623\pi\)
\(674\) 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 −0.957165 0.289543i \(-0.906497\pi\)
−0.227831 + 0.973701i \(0.573163\pi\)
\(678\) 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 −0.831851 0.554999i \(-0.812718\pi\)
0.997904 0.0647182i \(-0.0206149\pi\)
\(684\) 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 −0.232125 0.972686i \(-0.574568\pi\)
0.285317 + 0.958433i \(0.407901\pi\)
\(692\) −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 \(0.141101\pi\)
−0.903349 + 0.428906i \(0.858899\pi\)
\(702\) −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 0.936302 0.351197i \(-0.114225\pi\)
−0.351197 + 0.936302i \(0.614225\pi\)
\(710\) 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 0.756398 + 0.654112i \(0.226957\pi\)
−0.982116 + 0.188279i \(0.939709\pi\)
\(734\) 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 0.302088 0.953280i \(-0.402316\pi\)
−0.953280 + 0.302088i \(0.902316\pi\)
\(740\) 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 0.00164161 0.999999i \(-0.499477\pi\)
−0.498578 + 0.866845i \(0.666144\pi\)
\(744\) 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 −0.102291 0.994755i \(-0.532617\pi\)
−0.912628 + 0.408791i \(0.865951\pi\)
\(752\) 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 0.888656 0.458574i \(-0.151640\pi\)
−0.841465 + 0.540312i \(0.818306\pi\)
\(758\) 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 −0.867661 0.497157i \(-0.834377\pi\)
0.497157 + 0.867661i \(0.334377\pi\)
\(762\) −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 −0.806150 0.591712i \(-0.798452\pi\)
0.994002 0.109363i \(-0.0348809\pi\)
\(770\) −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 0.718725 + 0.695294i \(0.244726\pi\)
−0.970081 + 0.242780i \(0.921941\pi\)