Properties

Label 546.2.cg.b.241.7
Level $546$
Weight $2$
Character 546.241
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.cg (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 241.7
Character \(\chi\) \(=\) 546.241
Dual form 546.2.cg.b.145.7

$q$-expansion

\(f(q)\) \(=\) \(q+(0.707107 + 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-1.42776 - 0.382567i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(0.349274 - 2.62260i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +O(q^{10})\) \(q+(0.707107 + 0.707107i) q^{2} +(-0.866025 + 0.500000i) q^{3} +1.00000i q^{4} +(-1.42776 - 0.382567i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(0.349274 - 2.62260i) q^{7} +(-0.707107 + 0.707107i) q^{8} +(0.500000 - 0.866025i) q^{9} +(-0.739062 - 1.28009i) q^{10} +(-5.63579 - 1.51010i) 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} -1.00000 q^{16} +6.94378 q^{17} +(0.965926 - 0.258819i) q^{18} +(-1.37897 - 5.14638i) q^{19} +(0.382567 - 1.42776i) q^{20} +(1.00882 + 2.44587i) q^{21} +(-2.91730 - 5.05291i) q^{22} +0.769549i q^{23} +(0.258819 - 0.965926i) q^{24} +(-2.43799 - 1.40757i) q^{25} +(-0.191699 - 3.60045i) q^{26} +1.00000i q^{27} +(2.62260 + 0.349274i) q^{28} +(-4.35699 + 7.54652i) q^{29} +(1.28009 + 0.739062i) q^{30} +(-0.101593 - 0.379148i) q^{31} +(-0.707107 - 0.707107i) q^{32} +(5.63579 - 1.51010i) q^{33} +(4.91000 + 4.91000i) q^{34} +(-1.50200 + 3.61081i) q^{35} +(0.866025 + 0.500000i) q^{36} +(4.14694 - 4.14694i) q^{37} +(2.66396 - 4.61411i) q^{38} +(3.52738 + 0.746698i) q^{39} +(1.28009 - 0.739062i) q^{40} +(-1.70135 - 6.34954i) q^{41} +(-1.01615 + 2.44283i) q^{42} +(0.142904 - 0.0825059i) q^{43} +(1.51010 - 5.63579i) q^{44} +(-1.04519 + 1.04519i) q^{45} +(-0.544153 + 0.544153i) q^{46} +(3.23250 - 12.0638i) q^{47} +(0.866025 - 0.500000i) q^{48} +(-6.75602 - 1.83201i) q^{49} +(-0.728614 - 2.71922i) q^{50} +(-6.01349 + 3.47189i) q^{51} +(2.41035 - 2.68146i) q^{52} +(-4.44772 + 7.70367i) q^{53} +(-0.707107 + 0.707107i) q^{54} +(7.46883 + 4.31213i) q^{55} +(1.60748 + 2.10143i) q^{56} +(3.76741 + 3.76741i) q^{57} +(-8.41705 + 2.25534i) q^{58} +(0.616913 + 0.616913i) q^{59} +(0.382567 + 1.42776i) q^{60} +(4.89047 + 2.82351i) q^{61} +(0.196262 - 0.339935i) q^{62} +(-2.09660 - 1.61378i) q^{63} -1.00000i q^{64} +(2.90635 + 4.46724i) q^{65} +(5.05291 + 2.91730i) q^{66} +(-1.23791 + 4.61993i) q^{67} +6.94378i q^{68} +(-0.384774 - 0.666449i) q^{69} +(-3.61530 + 1.49116i) q^{70} +(-1.36236 + 5.08439i) q^{71} +(0.258819 + 0.965926i) q^{72} +(-8.94879 + 2.39782i) q^{73} +5.86465 q^{74} +2.81515 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} +(1.42776 + 0.382567i) q^{80} +(-0.500000 - 0.866025i) q^{81} +(3.28676 - 5.69284i) q^{82} +(-9.29167 + 9.29167i) q^{83} +(-2.44587 + 1.00882i) q^{84} +(-9.91405 - 2.65646i) q^{85} +(0.159389 + 0.0427082i) q^{86} -8.71398i q^{87} +(5.05291 - 2.91730i) q^{88} +(6.30539 + 6.30539i) q^{89} -1.47812 q^{90} +(-7.25794 + 6.19050i) q^{91} -0.769549 q^{92} +(0.277556 + 0.277556i) q^{93} +(10.8161 - 6.24471i) q^{94} +7.87533i q^{95} +(0.965926 + 0.258819i) q^{96} +(0.852159 + 0.228335i) q^{97} +(-3.48180 - 6.07265i) q^{98} +(-4.12568 + 4.12568i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q + 4q^{7} + 20q^{9} + O(q^{10}) \) \( 40q + 4q^{7} + 20q^{9} + 8q^{11} - 20q^{12} + 4q^{14} - 40q^{16} + 16q^{17} + 4q^{19} + 4q^{21} - 4q^{22} - 24q^{25} + 8q^{26} - 4q^{28} - 12q^{29} - 8q^{33} - 8q^{34} - 32q^{35} + 40q^{37} + 8q^{38} + 20q^{39} + 20q^{41} + 12q^{42} - 24q^{43} - 4q^{44} + 32q^{46} + 4q^{47} + 32q^{49} - 16q^{50} + 24q^{51} + 16q^{52} - 4q^{53} + 24q^{55} + 12q^{56} + 8q^{57} + 12q^{58} + 24q^{59} + 60q^{61} + 32q^{62} - 4q^{63} + 44q^{65} - 12q^{67} - 8q^{69} - 24q^{70} - 28q^{71} + 60q^{73} - 40q^{74} - 72q^{75} + 4q^{76} - 12q^{77} + 4q^{78} - 20q^{81} - 24q^{82} + 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{89} - 16q^{92} - 24q^{93} - 48q^{97} - 88q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

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

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.707107 + 0.707107i 0.500000 + 0.500000i
\(3\) −0.866025 + 0.500000i −0.500000 + 0.288675i
\(4\) 1.00000i 0.500000i
\(5\) −1.42776 0.382567i −0.638513 0.171089i −0.0749833 0.997185i \(-0.523890\pi\)
−0.563530 + 0.826096i \(0.690557\pi\)
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) 0.349274 2.62260i 0.132013 0.991248i
\(8\) −0.707107 + 0.707107i −0.250000 + 0.250000i
\(9\) 0.500000 0.866025i 0.166667 0.288675i
\(10\) −0.739062 1.28009i −0.233712 0.404801i
\(11\) −5.63579 1.51010i −1.69925 0.455314i −0.726502 0.687164i \(-0.758855\pi\)
−0.972751 + 0.231851i \(0.925522\pi\)
\(12\) −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
\(16\) −1.00000 −0.250000
\(17\) 6.94378 1.68411 0.842057 0.539388i \(-0.181344\pi\)
0.842057 + 0.539388i \(0.181344\pi\)
\(18\) 0.965926 0.258819i 0.227671 0.0610042i
\(19\) −1.37897 5.14638i −0.316357 1.18066i −0.922720 0.385472i \(-0.874039\pi\)
0.606363 0.795188i \(-0.292628\pi\)
\(20\) 0.382567 1.42776i 0.0855445 0.319257i
\(21\) 1.00882 + 2.44587i 0.220142 + 0.533733i
\(22\) −2.91730 5.05291i −0.621970 1.07728i
\(23\) 0.769549i 0.160462i 0.996776 + 0.0802310i \(0.0255658\pi\)
−0.996776 + 0.0802310i \(0.974434\pi\)
\(24\) 0.258819 0.965926i 0.0528312 0.197169i
\(25\) −2.43799 1.40757i −0.487598 0.281515i
\(26\) −0.191699 3.60045i −0.0375953 0.706107i
\(27\) 1.00000i 0.192450i
\(28\) 2.62260 + 0.349274i 0.495624 + 0.0660066i
\(29\) −4.35699 + 7.54652i −0.809072 + 1.40135i 0.104435 + 0.994532i \(0.466697\pi\)
−0.913507 + 0.406823i \(0.866637\pi\)
\(30\) 1.28009 + 0.739062i 0.233712 + 0.134934i
\(31\) −0.101593 0.379148i −0.0182466 0.0680971i 0.956202 0.292707i \(-0.0945560\pi\)
−0.974449 + 0.224610i \(0.927889\pi\)
\(32\) −0.707107 0.707107i −0.125000 0.125000i
\(33\) 5.63579 1.51010i 0.981064 0.262875i
\(34\) 4.91000 + 4.91000i 0.842057 + 0.842057i
\(35\) −1.50200 + 3.61081i −0.253884 + 0.610339i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) 4.14694 4.14694i 0.681752 0.681752i −0.278643 0.960395i \(-0.589885\pi\)
0.960395 + 0.278643i \(0.0898845\pi\)
\(38\) 2.66396 4.61411i 0.432151 0.748508i
\(39\) 3.52738 + 0.746698i 0.564834 + 0.119567i
\(40\) 1.28009 0.739062i 0.202401 0.116856i
\(41\) −1.70135 6.34954i −0.265707 0.991632i −0.961816 0.273696i \(-0.911754\pi\)
0.696109 0.717936i \(-0.254913\pi\)
\(42\) −1.01615 + 2.44283i −0.156795 + 0.376937i
\(43\) 0.142904 0.0825059i 0.0217927 0.0125820i −0.489064 0.872248i \(-0.662662\pi\)
0.510857 + 0.859666i \(0.329328\pi\)
\(44\) 1.51010 5.63579i 0.227657 0.849627i
\(45\) −1.04519 + 1.04519i −0.155808 + 0.155808i
\(46\) −0.544153 + 0.544153i −0.0802310 + 0.0802310i
\(47\) 3.23250 12.0638i 0.471508 1.75969i −0.162847 0.986651i \(-0.552068\pi\)
0.634355 0.773041i \(-0.281266\pi\)
\(48\) 0.866025 0.500000i 0.125000 0.0721688i
\(49\) −6.75602 1.83201i −0.965145 0.261716i
\(50\) −0.728614 2.71922i −0.103042 0.384556i
\(51\) −6.01349 + 3.47189i −0.842057 + 0.486162i
\(52\) 2.41035 2.68146i 0.334256 0.371851i
\(53\) −4.44772 + 7.70367i −0.610941 + 1.05818i 0.380141 + 0.924928i \(0.375875\pi\)
−0.991082 + 0.133252i \(0.957458\pi\)
\(54\) −0.707107 + 0.707107i −0.0962250 + 0.0962250i
\(55\) 7.46883 + 4.31213i 1.00710 + 0.581447i
\(56\) 1.60748 + 2.10143i 0.214809 + 0.280815i
\(57\) 3.76741 + 3.76741i 0.499005 + 0.499005i
\(58\) −8.41705 + 2.25534i −1.10521 + 0.296141i
\(59\) 0.616913 + 0.616913i 0.0803153 + 0.0803153i 0.746123 0.665808i \(-0.231913\pi\)
−0.665808 + 0.746123i \(0.731913\pi\)
\(60\) 0.382567 + 1.42776i 0.0493892 + 0.184323i
\(61\) 4.89047 + 2.82351i 0.626160 + 0.361514i 0.779264 0.626696i \(-0.215593\pi\)
−0.153103 + 0.988210i \(0.548927\pi\)
\(62\) 0.196262 0.339935i 0.0249253 0.0431718i
\(63\) −2.09660 1.61378i −0.264146 0.203317i
\(64\) 1.00000i 0.125000i
\(65\) 2.90635 + 4.46724i 0.360488 + 0.554093i
\(66\) 5.05291 + 2.91730i 0.621970 + 0.359094i
\(67\) −1.23791 + 4.61993i −0.151234 + 0.564414i 0.848164 + 0.529733i \(0.177708\pi\)
−0.999398 + 0.0346805i \(0.988959\pi\)
\(68\) 6.94378i 0.842057i
\(69\) −0.384774 0.666449i −0.0463214 0.0802310i
\(70\) −3.61530 + 1.49116i −0.432111 + 0.178227i
\(71\) −1.36236 + 5.08439i −0.161682 + 0.603406i 0.836758 + 0.547573i \(0.184448\pi\)
−0.998440 + 0.0558333i \(0.982218\pi\)
\(72\) 0.258819 + 0.965926i 0.0305021 + 0.113835i
\(73\) −8.94879 + 2.39782i −1.04738 + 0.280644i −0.741167 0.671321i \(-0.765727\pi\)
−0.306209 + 0.951964i \(0.599061\pi\)
\(74\) 5.86465 0.681752
\(75\) 2.81515 0.325065
\(76\) 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 \(0.980501\pi\)
\(80\) 1.42776 + 0.382567i 0.159628 + 0.0427723i
\(81\) −0.500000 0.866025i −0.0555556 0.0962250i
\(82\) 3.28676 5.69284i 0.362962 0.628669i
\(83\) −9.29167 + 9.29167i −1.01989 + 1.01989i −0.0200956 + 0.999798i \(0.506397\pi\)
−0.999798 + 0.0200956i \(0.993603\pi\)
\(84\) −2.44587 + 1.00882i −0.266866 + 0.110071i
\(85\) −9.91405 2.65646i −1.07533 0.288134i
\(86\) 0.159389 + 0.0427082i 0.0171874 + 0.00460534i
\(87\) 8.71398i 0.934236i
\(88\) 5.05291 2.91730i 0.538642 0.310985i
\(89\) 6.30539 + 6.30539i 0.668370 + 0.668370i 0.957338 0.288969i \(-0.0933124\pi\)
−0.288969 + 0.957338i \(0.593312\pi\)
\(90\) −1.47812 −0.155808
\(91\) −7.25794 + 6.19050i −0.760839 + 0.648941i
\(92\) −0.769549 −0.0802310
\(93\) 0.277556 + 0.277556i 0.0287812 + 0.0287812i
\(94\) 10.8161 6.24471i 1.11560 0.644092i
\(95\) 7.87533i 0.807992i
\(96\) 0.965926 + 0.258819i 0.0985844 + 0.0264156i
\(97\) 0.852159 + 0.228335i 0.0865237 + 0.0231839i 0.301821 0.953365i \(-0.402405\pi\)
−0.215297 + 0.976549i \(0.569072\pi\)
\(98\) −3.48180 6.07265i −0.351715 0.613430i
\(99\) −4.12568 + 4.12568i −0.414647 + 0.414647i
\(100\) 1.40757 2.43799i 0.140757 0.243799i
\(101\) −5.98408 10.3647i −0.595439 1.03133i −0.993485 0.113965i \(-0.963645\pi\)
0.398046 0.917365i \(-0.369688\pi\)
\(102\) −6.70718 1.79718i −0.664110 0.177948i
\(103\) −6.40446 11.0928i −0.631050 1.09301i −0.987337 0.158634i \(-0.949291\pi\)
0.356288 0.934376i \(-0.384042\pi\)
\(104\) 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
\(107\) 2.65924 0.257078 0.128539 0.991704i \(-0.458971\pi\)
0.128539 + 0.991704i \(0.458971\pi\)
\(108\) −1.00000 −0.0962250
\(109\) 14.4796 3.87980i 1.38689 0.371617i 0.513274 0.858225i \(-0.328432\pi\)
0.873621 + 0.486607i \(0.161766\pi\)
\(110\) 2.23212 + 8.33039i 0.212824 + 0.794272i
\(111\) −1.51788 + 5.66482i −0.144071 + 0.537681i
\(112\) −0.349274 + 2.62260i −0.0330033 + 0.247812i
\(113\) 4.95793 + 8.58738i 0.466403 + 0.807833i 0.999264 0.0383697i \(-0.0122165\pi\)
−0.532861 + 0.846203i \(0.678883\pi\)
\(114\) 5.32792i 0.499005i
\(115\) 0.294404 1.09873i 0.0274533 0.102457i
\(116\) −7.54652 4.35699i −0.700677 0.404536i
\(117\) −3.42815 + 1.11703i −0.316933 + 0.103270i
\(118\) 0.872447i 0.0803153i
\(119\) 2.42528 18.2107i 0.222325 1.66938i
\(120\) −0.739062 + 1.28009i −0.0674668 + 0.116856i
\(121\) 19.9554 + 11.5212i 1.81413 + 1.04739i
\(122\) 1.46156 + 5.45461i 0.132323 + 0.493837i
\(123\) 4.64819 + 4.64819i 0.419113 + 0.419113i
\(124\) 0.379148 0.101593i 0.0340485 0.00912328i
\(125\) 8.16833 + 8.16833i 0.730598 + 0.730598i
\(126\) −0.341405 2.62363i −0.0304147 0.233732i
\(127\) −9.01558 5.20515i −0.800003 0.461882i 0.0434689 0.999055i \(-0.486159\pi\)
−0.843472 + 0.537173i \(0.819492\pi\)
\(128\) 0.707107 0.707107i 0.0625000 0.0625000i
\(129\) −0.0825059 + 0.142904i −0.00726424 + 0.0125820i
\(130\) −1.10371 + 5.21391i −0.0968020 + 0.457290i
\(131\) −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
\(133\) −13.9785 + 1.81898i −1.21209 + 0.157725i
\(134\) −4.14211 + 2.39145i −0.357824 + 0.206590i
\(135\) 0.382567 1.42776i 0.0329261 0.122882i
\(136\) −4.91000 + 4.91000i −0.421029 + 0.421029i
\(137\) −2.02014 + 2.02014i −0.172592 + 0.172592i −0.788117 0.615525i \(-0.788944\pi\)
0.615525 + 0.788117i \(0.288944\pi\)
\(138\) 0.199174 0.743327i 0.0169548 0.0632762i
\(139\) 8.27684 4.77864i 0.702033 0.405319i −0.106071 0.994359i \(-0.533827\pi\)
0.808104 + 0.589040i \(0.200494\pi\)
\(140\) −3.61081 1.50200i −0.305169 0.126942i
\(141\) 3.23250 + 12.0638i 0.272225 + 1.01596i
\(142\) −4.55854 + 2.63188i −0.382544 + 0.220862i
\(143\) 11.4722 + 17.6335i 0.959356 + 1.47459i
\(144\) −0.500000 + 0.866025i −0.0416667 + 0.0721688i
\(145\) 9.10778 9.10778i 0.756360 0.756360i
\(146\) −8.02326 4.63223i −0.664010 0.383366i
\(147\) 6.76689 1.79144i 0.558123 0.147756i
\(148\) 4.14694 + 4.14694i 0.340876 + 0.340876i
\(149\) −10.0910 + 2.70387i −0.826686 + 0.221510i −0.647267 0.762263i \(-0.724088\pi\)
−0.179419 + 0.983773i \(0.557422\pi\)
\(150\) 1.99061 + 1.99061i 0.162533 + 0.162533i
\(151\) −1.16214 4.33716i −0.0945734 0.352953i 0.902381 0.430939i \(-0.141818\pi\)
−0.996954 + 0.0779863i \(0.975151\pi\)
\(152\) 4.61411 + 2.66396i 0.374254 + 0.216076i
\(153\) 3.47189 6.01349i 0.280686 0.486162i
\(154\) −14.2707 + 5.88604i −1.14996 + 0.474311i
\(155\) 0.580198i 0.0466027i
\(156\) −0.746698 + 3.52738i −0.0597837 + 0.282417i
\(157\) 12.7423 + 7.35677i 1.01695 + 0.587134i 0.913218 0.407472i \(-0.133590\pi\)
0.103728 + 0.994606i \(0.466923\pi\)
\(158\) 2.05220 7.65891i 0.163264 0.609310i
\(159\) 8.89544i 0.705454i
\(160\) 0.739062 + 1.28009i 0.0584280 + 0.101200i
\(161\) 2.01821 + 0.268784i 0.159058 + 0.0211831i
\(162\) 0.258819 0.965926i 0.0203347 0.0758903i
\(163\) −5.94900 22.2020i −0.465962 1.73899i −0.653681 0.756771i \(-0.726776\pi\)
0.187719 0.982223i \(-0.439891\pi\)
\(164\) 6.34954 1.70135i 0.495816 0.132853i
\(165\) −8.62426 −0.671398
\(166\) −13.1404 −1.01989
\(167\) 0.821354 0.220081i 0.0635583 0.0170304i −0.226900 0.973918i \(-0.572859\pi\)
0.290458 + 0.956888i \(0.406192\pi\)
\(168\) −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
\(171\) −5.14638 1.37897i −0.393553 0.105452i
\(172\) 0.0825059 + 0.142904i 0.00629101 + 0.0108964i
\(173\) 4.61652 7.99605i 0.350988 0.607928i −0.635435 0.772154i \(-0.719179\pi\)
0.986423 + 0.164226i \(0.0525126\pi\)
\(174\) 6.16171 6.16171i 0.467118 0.467118i
\(175\) −4.54302 + 5.90223i −0.343420 + 0.446167i
\(176\) 5.63579 + 1.51010i 0.424813 + 0.113828i
\(177\) −0.842719 0.225806i −0.0633426 0.0169726i
\(178\) 8.91716i 0.668370i
\(179\) 9.04284 5.22088i 0.675893 0.390227i −0.122413 0.992479i \(-0.539063\pi\)
0.798306 + 0.602252i \(0.205730\pi\)
\(180\) −1.04519 1.04519i −0.0779040 0.0779040i
\(181\) −1.21138 −0.0900414 −0.0450207 0.998986i \(-0.514335\pi\)
−0.0450207 + 0.998986i \(0.514335\pi\)
\(182\) −9.50948 0.754796i −0.704890 0.0559492i
\(183\) −5.64703 −0.417440
\(184\) −0.544153 0.544153i −0.0401155 0.0401155i
\(185\) −7.50731 + 4.33434i −0.551948 + 0.318667i
\(186\) 0.392523i 0.0287812i
\(187\) −39.1337 10.4858i −2.86174 0.766800i
\(188\) 12.0638 + 3.23250i 0.879846 + 0.235754i
\(189\) 2.62260 + 0.349274i 0.190766 + 0.0254060i
\(190\) −5.56870 + 5.56870i −0.403996 + 0.403996i
\(191\) 12.4420 21.5502i 0.900271 1.55932i 0.0731296 0.997322i \(-0.476701\pi\)
0.827142 0.561993i \(-0.189965\pi\)
\(192\) 0.500000 + 0.866025i 0.0360844 + 0.0625000i
\(193\) 17.9106 + 4.79914i 1.28924 + 0.345450i 0.837370 0.546636i \(-0.184092\pi\)
0.451866 + 0.892086i \(0.350759\pi\)
\(194\) 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 \(0.405639\pi\)
\(198\) −5.83459 −0.414647
\(199\) −1.17166 −0.0830568 −0.0415284 0.999137i \(-0.513223\pi\)
−0.0415284 + 0.999137i \(0.513223\pi\)
\(200\) 2.71922 0.728614i 0.192278 0.0515208i
\(201\) −1.23791 4.61993i −0.0873151 0.325865i
\(202\) 3.09759 11.5604i 0.217946 0.813384i
\(203\) 18.2697 + 14.0624i 1.28228 + 0.986989i
\(204\) −3.47189 6.01349i −0.243081 0.421029i
\(205\) 9.71649i 0.678629i
\(206\) 3.31519 12.3725i 0.230980 0.862030i
\(207\) 0.666449 + 0.384774i 0.0463214 + 0.0267437i
\(208\) 2.68146 + 2.41035i 0.185925 + 0.167128i
\(209\) 31.0863i 2.15028i
\(210\) 2.38537 3.09903i 0.164606 0.213854i
\(211\) 8.43264 14.6058i 0.580527 1.00550i −0.414890 0.909871i \(-0.636180\pi\)
0.995417 0.0956302i \(-0.0304866\pi\)
\(212\) −7.70367 4.44772i −0.529090 0.305471i
\(213\) −1.36236 5.08439i −0.0933473 0.348377i
\(214\) 1.88037 + 1.88037i 0.128539 + 0.128539i
\(215\) −0.235597 + 0.0631280i −0.0160676 + 0.00430529i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −1.02984 + 0.134009i −0.0699099 + 0.00909714i
\(218\) 12.9821 + 7.49520i 0.879256 + 0.507639i
\(219\) 6.55097 6.55097i 0.442673 0.442673i
\(220\) −4.31213 + 7.46883i −0.290724 + 0.503548i
\(221\) −18.6194 16.7370i −1.25248 1.12585i
\(222\) −5.07894 + 2.93233i −0.340876 + 0.196805i
\(223\) 0.0655089 + 0.244483i 0.00438680 + 0.0163718i 0.968085 0.250624i \(-0.0806357\pi\)
−0.963698 + 0.266996i \(0.913969\pi\)
\(224\) −2.10143 + 1.60748i −0.140408 + 0.107404i
\(225\) −2.43799 + 1.40757i −0.162533 + 0.0938383i
\(226\) −2.56641 + 9.57798i −0.170715 + 0.637118i
\(227\) 1.18113 1.18113i 0.0783942 0.0783942i −0.666822 0.745217i \(-0.732346\pi\)
0.745217 + 0.666822i \(0.232346\pi\)
\(228\) −3.76741 + 3.76741i −0.249503 + 0.249503i
\(229\) 6.94421 25.9161i 0.458886 1.71259i −0.217517 0.976056i \(-0.569796\pi\)
0.676404 0.736531i \(-0.263537\pi\)
\(230\) 0.985094 0.568744i 0.0649552 0.0375019i
\(231\) −1.99196 15.3078i −0.131061 1.00718i
\(232\) −2.25534 8.41705i −0.148071 0.552607i
\(233\) 14.5436 8.39675i 0.952783 0.550089i 0.0588383 0.998268i \(-0.481260\pi\)
0.893944 + 0.448178i \(0.147927\pi\)
\(234\) −3.21393 1.63421i −0.210101 0.106832i
\(235\) −9.23045 + 15.9876i −0.602128 + 1.04292i
\(236\) −0.616913 + 0.616913i −0.0401576 + 0.0401576i
\(237\) 6.86679 + 3.96454i 0.446046 + 0.257525i
\(238\) 14.5919 11.1620i 0.945850 0.723525i
\(239\) −1.66598 1.66598i −0.107763 0.107763i 0.651169 0.758933i \(-0.274279\pi\)
−0.758933 + 0.651169i \(0.774279\pi\)
\(240\) −1.42776 + 0.382567i −0.0921614 + 0.0246946i
\(241\) 10.5050 + 10.5050i 0.676688 + 0.676688i 0.959249 0.282561i \(-0.0911840\pi\)
−0.282561 + 0.959249i \(0.591184\pi\)
\(242\) 5.96384 + 22.2573i 0.383370 + 1.43076i
\(243\) 0.866025 + 0.500000i 0.0555556 + 0.0320750i
\(244\) −2.82351 + 4.89047i −0.180757 + 0.313080i
\(245\) 8.94509 + 5.20030i 0.571481 + 0.332235i
\(246\) 6.57353i 0.419113i
\(247\) −8.70694 + 17.1236i −0.554009 + 1.08955i
\(248\) 0.339935 + 0.196262i 0.0215859 + 0.0124626i
\(249\) 3.40099 12.6927i 0.215529 0.804365i
\(250\) 11.5518i 0.730598i
\(251\) 5.71406 + 9.89703i 0.360668 + 0.624695i 0.988071 0.154000i \(-0.0492154\pi\)
−0.627403 + 0.778695i \(0.715882\pi\)
\(252\) 1.61378 2.09660i 0.101658 0.132073i
\(253\) 1.16210 4.33701i 0.0730605 0.272666i
\(254\) −2.69438 10.0556i −0.169061 0.630943i
\(255\) 9.91405 2.65646i 0.620842 0.166354i
\(256\) 1.00000 0.0625000
\(257\) −9.52645 −0.594244 −0.297122 0.954840i \(-0.596027\pi\)
−0.297122 + 0.954840i \(0.596027\pi\)
\(258\) −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
\(262\) −3.80894 1.02060i −0.235317 0.0630530i
\(263\) −11.5753 20.0490i −0.713763 1.23627i −0.963435 0.267943i \(-0.913656\pi\)
0.249672 0.968330i \(-0.419677\pi\)
\(264\) −2.91730 + 5.05291i −0.179547 + 0.310985i
\(265\) 9.29744 9.29744i 0.571137 0.571137i
\(266\) −11.1705 8.59808i −0.684907 0.527182i
\(267\) −8.61332 2.30793i −0.527126 0.141243i
\(268\) −4.61993 1.23791i −0.282207 0.0756171i
\(269\) 27.4873i 1.67593i −0.545724 0.837965i \(-0.683745\pi\)
0.545724 0.837965i \(-0.316255\pi\)
\(270\) 1.28009 0.739062i 0.0779040 0.0449779i
\(271\) 19.7563 + 19.7563i 1.20011 + 1.20011i 0.974133 + 0.225973i \(0.0725562\pi\)
0.225973 + 0.974133i \(0.427444\pi\)
\(272\) −6.94378 −0.421029
\(273\) 3.19031 8.99010i 0.193086 0.544106i
\(274\) −2.85691 −0.172592
\(275\) 11.6144 + 11.6144i 0.700375 + 0.700375i
\(276\) 0.666449 0.384774i 0.0401155 0.0231607i
\(277\) 8.37932i 0.503465i 0.967797 + 0.251732i \(0.0810003\pi\)
−0.967797 + 0.251732i \(0.919000\pi\)
\(278\) 9.23162 + 2.47361i 0.553676 + 0.148357i
\(279\) −0.379148 0.101593i −0.0226990 0.00608218i
\(280\) −1.49116 3.61530i −0.0891137 0.216056i
\(281\) −2.04772 + 2.04772i −0.122156 + 0.122156i −0.765542 0.643386i \(-0.777529\pi\)
0.643386 + 0.765542i \(0.277529\pi\)
\(282\) −6.24471 + 10.8161i −0.371867 + 0.644092i
\(283\) 0.449883 + 0.779221i 0.0267428 + 0.0463199i 0.879087 0.476661i \(-0.158153\pi\)
−0.852344 + 0.522981i \(0.824820\pi\)
\(284\) −5.08439 1.36236i −0.301703 0.0808411i
\(285\) −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
\(289\) 31.2161 1.83624
\(290\) 12.8803 0.756360
\(291\) −0.852159 + 0.228335i −0.0499545 + 0.0133853i
\(292\) −2.39782 8.94879i −0.140322 0.523688i
\(293\) 8.10572 30.2510i 0.473541 1.76728i −0.153348 0.988172i \(-0.549006\pi\)
0.626889 0.779108i \(-0.284328\pi\)
\(294\) 6.05165 + 3.51817i 0.352939 + 0.205184i
\(295\) −0.644793 1.11681i −0.0375413 0.0650234i
\(296\) 5.86465i 0.340876i
\(297\) 1.51010 5.63579i 0.0876251 0.327021i
\(298\) −9.04733 5.22348i −0.524098 0.302588i
\(299\) 1.85488 2.06351i 0.107271 0.119336i
\(300\) 2.81515i 0.162533i
\(301\) −0.166467 0.403597i −0.00959498 0.0232630i
\(302\) 2.24508 3.88859i 0.129190 0.223763i
\(303\) 10.3647 + 5.98408i 0.595439 + 0.343777i
\(304\) 1.37897 + 5.14638i 0.0790892 + 0.295165i
\(305\) −5.90223 5.90223i −0.337960 0.337960i
\(306\) 6.70718 1.79718i 0.383424 0.102738i
\(307\) 6.31072 + 6.31072i 0.360172 + 0.360172i 0.863876 0.503704i \(-0.168030\pi\)
−0.503704 + 0.863876i \(0.668030\pi\)
\(308\) −14.2529 5.92883i −0.812137 0.337826i
\(309\) 11.0928 + 6.40446i 0.631050 + 0.364337i
\(310\) −0.410262 + 0.410262i −0.0233013 + 0.0233013i
\(311\) −0.856069 + 1.48276i −0.0485432 + 0.0840793i −0.889276 0.457371i \(-0.848791\pi\)
0.840733 + 0.541450i \(0.182125\pi\)
\(312\) −3.02223 + 1.96624i −0.171100 + 0.111317i
\(313\) −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
\(315\) 2.37606 + 3.10617i 0.133876 + 0.175013i
\(316\) 6.86679 3.96454i 0.386287 0.223023i
\(317\) −3.56867 + 13.3185i −0.200436 + 0.748039i 0.790356 + 0.612648i \(0.209896\pi\)
−0.990792 + 0.135391i \(0.956771\pi\)
\(318\) 6.29002 6.29002i 0.352727 0.352727i
\(319\) 35.9511 35.9511i 2.01287 2.01287i
\(320\) −0.382567 + 1.42776i −0.0213861 + 0.0798141i
\(321\) −2.30297 + 1.32962i −0.128539 + 0.0742121i
\(322\) 1.23703 + 1.61715i 0.0689373 + 0.0901204i
\(323\) −9.57525 35.7353i −0.532781 1.98837i
\(324\) 0.866025 0.500000i 0.0481125 0.0277778i
\(325\) 3.14461 + 9.65076i 0.174432 + 0.535328i
\(326\) 11.4926 19.9058i 0.636516 1.10248i
\(327\) −10.5998 + 10.5998i −0.586171 + 0.586171i
\(328\) 5.69284 + 3.28676i 0.314335 + 0.181481i
\(329\) −30.5096 12.6911i −1.68205 0.699684i
\(330\) −6.09827 6.09827i −0.335699 0.335699i
\(331\) −24.8601 + 6.66123i −1.36643 + 0.366134i −0.866174 0.499742i \(-0.833428\pi\)
−0.500258 + 0.865876i \(0.666761\pi\)
\(332\) −9.29167 9.29167i −0.509947 0.509947i
\(333\) −1.51788 5.66482i −0.0831795 0.310430i
\(334\) 0.736406 + 0.425164i 0.0402943 + 0.0232639i
\(335\) 3.53486 6.12256i 0.193130 0.334511i
\(336\) −1.00882 2.44587i −0.0550355 0.133433i
\(337\) 33.5630i 1.82829i 0.405383 + 0.914147i \(0.367138\pi\)
−0.405383 + 0.914147i \(0.632862\pi\)
\(338\) −8.16432 + 10.1165i −0.444081 + 0.550266i
\(339\) −8.58738 4.95793i −0.466403 0.269278i
\(340\) 2.65646 9.91405i 0.144067 0.537665i
\(341\) 2.29021i 0.124022i
\(342\) −2.66396 4.61411i −0.144050 0.249503i
\(343\) −7.16432 + 17.0784i −0.386837 + 0.922148i
\(344\) −0.0427082 + 0.159389i −0.00230267 + 0.00859368i
\(345\) 0.294404 + 1.09873i 0.0158502 + 0.0591536i
\(346\) 8.91843 2.38969i 0.479458 0.128470i
\(347\) −29.5060 −1.58397 −0.791983 0.610544i \(-0.790951\pi\)
−0.791983 + 0.610544i \(0.790951\pi\)
\(348\) 8.71398 0.467118
\(349\) 18.0248 4.82973i 0.964844 0.258529i 0.258195 0.966093i \(-0.416872\pi\)
0.706650 + 0.707564i \(0.250206\pi\)
\(350\) −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
\(353\) −23.6244 6.33014i −1.25740 0.336920i −0.432210 0.901773i \(-0.642266\pi\)
−0.825191 + 0.564854i \(0.808933\pi\)
\(354\) −0.436223 0.755561i −0.0231850 0.0401576i
\(355\) 3.89024 6.73809i 0.206472 0.357621i
\(356\) −6.30539 + 6.30539i −0.334185 + 0.334185i
\(357\) 7.00501 + 16.9836i 0.370744 + 0.898867i
\(358\) 10.0860 + 2.70253i 0.533060 + 0.142833i
\(359\) 23.2070 + 6.21830i 1.22482 + 0.328189i 0.812560 0.582877i \(-0.198073\pi\)
0.412259 + 0.911067i \(0.364740\pi\)
\(360\) 1.47812i 0.0779040i
\(361\) −8.12915 + 4.69337i −0.427850 + 0.247019i
\(362\) −0.856577 0.856577i −0.0450207 0.0450207i
\(363\) −23.0425 −1.20942
\(364\) −6.19050 7.25794i −0.324470 0.380420i
\(365\) 13.6940 0.716779
\(366\) −3.99305 3.99305i −0.208720 0.208720i
\(367\) −6.11749 + 3.53194i −0.319331 + 0.184366i −0.651094 0.758997i \(-0.725690\pi\)
0.331764 + 0.943363i \(0.392356\pi\)
\(368\) 0.769549i 0.0401155i
\(369\) −6.34954 1.70135i −0.330544 0.0885690i
\(370\) −8.37331 2.24362i −0.435308 0.116640i
\(371\) 18.6501 + 14.3553i 0.968267 + 0.745288i
\(372\) −0.277556 + 0.277556i −0.0143906 + 0.0143906i
\(373\) 5.60451 9.70730i 0.290191 0.502625i −0.683664 0.729797i \(-0.739615\pi\)
0.973855 + 0.227172i \(0.0729479\pi\)
\(374\) −20.2571 35.0863i −1.04747 1.81427i
\(375\) −11.1581 2.98982i −0.576204 0.154393i
\(376\) 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 \(0.390070\pi\)
\(380\) −7.87533 −0.403996
\(381\) 10.4103 0.533336
\(382\) 24.0361 6.44045i 1.22979 0.329522i
\(383\) −1.53970 5.74625i −0.0786752 0.293620i 0.915366 0.402622i \(-0.131901\pi\)
−0.994042 + 0.109002i \(0.965234\pi\)
\(384\) −0.258819 + 0.965926i −0.0132078 + 0.0492922i
\(385\) 13.9176 18.0816i 0.709309 0.921523i
\(386\) 9.27123 + 16.0582i 0.471893 + 0.817343i
\(387\) 0.165012i 0.00838802i
\(388\) −0.228335 + 0.852159i −0.0115920 + 0.0432618i
\(389\) −8.00851 4.62372i −0.406048 0.234432i 0.283042 0.959107i \(-0.408656\pi\)
−0.689090 + 0.724676i \(0.741990\pi\)
\(390\) −1.65111 5.06724i −0.0836074 0.256590i
\(391\) 5.34358i 0.270236i
\(392\) 6.07265 3.48180i 0.306715 0.175857i
\(393\) 1.97165 3.41500i 0.0994567 0.172264i
\(394\) 0.842063 + 0.486165i 0.0424225 + 0.0244927i
\(395\) 3.03340 + 11.3208i 0.152627 + 0.569612i
\(396\) −4.12568 4.12568i −0.207323 0.207323i
\(397\) 9.82987 2.63391i 0.493347 0.132192i −0.00356351 0.999994i \(-0.501134\pi\)
0.496911 + 0.867802i \(0.334468\pi\)
\(398\) −0.828489 0.828489i −0.0415284 0.0415284i
\(399\) 11.1962 8.56453i 0.560513 0.428763i
\(400\) 2.43799 + 1.40757i 0.121899 + 0.0703787i
\(401\) −7.85252 + 7.85252i −0.392136 + 0.392136i −0.875448 0.483312i \(-0.839434\pi\)
0.483312 + 0.875448i \(0.339434\pi\)
\(402\) 2.39145 4.14211i 0.119275 0.206590i
\(403\) −0.641465 + 1.26154i −0.0319537 + 0.0628419i
\(404\) 10.3647 5.98408i 0.515665 0.297719i
\(405\) 0.382567 + 1.42776i 0.0190099 + 0.0709459i
\(406\) 2.97499 + 22.8623i 0.147646 + 1.13463i
\(407\) −29.6336 + 17.1089i −1.46888 + 0.848059i
\(408\) 1.79718 6.70718i 0.0889738 0.332055i
\(409\) −9.15936 + 9.15936i −0.452901 + 0.452901i −0.896316 0.443415i \(-0.853767\pi\)
0.443415 + 0.896316i \(0.353767\pi\)
\(410\) −6.87060 + 6.87060i −0.339315 + 0.339315i
\(411\) 0.739423 2.75957i 0.0364731 0.136119i
\(412\) 11.0928 6.40446i 0.546505 0.315525i
\(413\) 1.83339 1.40244i 0.0902150 0.0690097i
\(414\) 0.199174 + 0.743327i 0.00978886 + 0.0365325i
\(415\) 16.8210 9.71158i 0.825708 0.476723i
\(416\) 0.191699 + 3.60045i 0.00939883 + 0.176527i
\(417\) −4.77864 + 8.27684i −0.234011 + 0.405319i
\(418\) −21.9813 + 21.9813i −1.07514 + 1.07514i
\(419\) −19.5436 11.2835i −0.954768 0.551236i −0.0602092 0.998186i \(-0.519177\pi\)
−0.894559 + 0.446950i \(0.852510\pi\)
\(420\) 3.87805 0.504639i 0.189230 0.0246238i
\(421\) −14.4017 14.4017i −0.701895 0.701895i 0.262922 0.964817i \(-0.415314\pi\)
−0.964817 + 0.262922i \(0.915314\pi\)
\(422\) 16.2906 4.36505i 0.793014 0.212488i
\(423\) −8.83135 8.83135i −0.429395 0.429395i
\(424\) −2.30231 8.59233i −0.111810 0.417280i
\(425\) −16.9289 9.77389i −0.821171 0.474103i
\(426\) 2.63188 4.55854i 0.127515 0.220862i
\(427\) 9.11305 11.8395i 0.441011 0.572955i
\(428\) 2.65924i 0.128539i
\(429\) −18.7520 9.53495i −0.905355 0.460352i
\(430\) −0.211230 0.121954i −0.0101864 0.00588114i
\(431\) −0.481562 + 1.79721i −0.0231960 + 0.0865688i −0.976554 0.215275i \(-0.930935\pi\)
0.953358 + 0.301843i \(0.0976020\pi\)
\(432\) 1.00000i 0.0481125i
\(433\) −16.6576 28.8518i −0.800514 1.38653i −0.919279 0.393608i \(-0.871227\pi\)
0.118765 0.992922i \(-0.462106\pi\)
\(434\) −0.822963 0.633446i −0.0395035 0.0304064i
\(435\) −3.33368 + 12.4415i −0.159838 + 0.596522i
\(436\) 3.87980 + 14.4796i 0.185809 + 0.693447i
\(437\) 3.96039 1.06118i 0.189451 0.0507632i
\(438\) 9.26447 0.442673
\(439\) 24.3330 1.16135 0.580675 0.814135i \(-0.302789\pi\)
0.580675 + 0.814135i \(0.302789\pi\)
\(440\) −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 \(0.568211\pi\)
\(444\) −5.66482 1.51788i −0.268841 0.0720356i
\(445\) −6.59034 11.4148i −0.312412 0.541113i
\(446\) −0.126554 + 0.219197i −0.00599248 + 0.0103793i
\(447\) 7.38712 7.38712i 0.349399 0.349399i
\(448\) −2.62260 0.349274i −0.123906 0.0165017i
\(449\) −11.1005 2.97437i −0.523866 0.140369i −0.0128116 0.999918i \(-0.504078\pi\)
−0.511054 + 0.859549i \(0.670745\pi\)
\(450\) −2.71922 0.728614i −0.128185 0.0343472i
\(451\) 38.3539i 1.80601i
\(452\) −8.58738 + 4.95793i −0.403917 + 0.233201i
\(453\) 3.17502 + 3.17502i 0.149175 + 0.149175i
\(454\) 1.67037 0.0783942
\(455\) 12.7309 6.06189i 0.596832 0.284186i
\(456\) −5.32792 −0.249503
\(457\) −26.9904 26.9904i −1.26256 1.26256i −0.949848 0.312711i \(-0.898763\pi\)
−0.312711 0.949848i \(-0.601237\pi\)
\(458\) 23.2358 13.4152i 1.08574 0.626850i
\(459\) 6.94378i 0.324108i
\(460\) 1.09873 + 0.294404i 0.0512285 + 0.0137266i
\(461\) −6.32045 1.69356i −0.294373 0.0788770i 0.108610 0.994084i \(-0.465360\pi\)
−0.402983 + 0.915207i \(0.632027\pi\)
\(462\) 9.41574 12.2328i 0.438060 0.569121i
\(463\) −10.5716 + 10.5716i −0.491304 + 0.491304i −0.908717 0.417413i \(-0.862937\pi\)
0.417413 + 0.908717i \(0.362937\pi\)
\(464\) 4.35699 7.54652i 0.202268 0.350339i
\(465\) −0.290099 0.502466i −0.0134530 0.0233013i
\(466\) 16.2213 + 4.34648i 0.751436 + 0.201347i
\(467\) 0.763124 + 1.32177i 0.0353132 + 0.0611642i 0.883142 0.469106i \(-0.155424\pi\)
−0.847829 + 0.530270i \(0.822090\pi\)
\(468\) −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
\(471\) −14.7135 −0.677964
\(472\) −0.872447 −0.0401576
\(473\) −0.929971 + 0.249185i −0.0427601 + 0.0114575i
\(474\) 2.05220 + 7.65891i 0.0942606 + 0.351785i
\(475\) −3.88200 + 14.4878i −0.178118 + 0.664746i
\(476\) 18.2107 + 2.42528i 0.834688 + 0.111163i
\(477\) 4.44772 + 7.70367i 0.203647 + 0.352727i
\(478\) 2.35605i 0.107763i
\(479\) −0.905926 + 3.38096i −0.0413928 + 0.154480i −0.983529 0.180750i \(-0.942147\pi\)
0.942136 + 0.335230i \(0.108814\pi\)
\(480\) −1.28009 0.739062i −0.0584280 0.0337334i
\(481\) −21.1154 + 1.12425i −0.962780 + 0.0512614i
\(482\) 14.8563i 0.676688i
\(483\) −1.88222 + 0.776334i −0.0856438 + 0.0353244i
\(484\) −11.5212 + 19.9554i −0.523693 + 0.907063i
\(485\) −1.12932 0.652016i −0.0512800 0.0296065i
\(486\) 0.258819 + 0.965926i 0.0117403 + 0.0438153i
\(487\) 3.09123 + 3.09123i 0.140077 + 0.140077i 0.773668 0.633591i \(-0.218420\pi\)
−0.633591 + 0.773668i \(0.718420\pi\)
\(488\) −5.45461 + 1.46156i −0.246919 + 0.0661616i
\(489\) 16.2530 + 16.2530i 0.734985 + 0.734985i
\(490\) 2.64797 + 10.0023i 0.119623 + 0.451858i
\(491\) 0.333214 + 0.192381i 0.0150377 + 0.00868203i 0.507500 0.861652i \(-0.330570\pi\)
−0.492462 + 0.870334i \(0.663903\pi\)
\(492\) −4.64819 + 4.64819i −0.209556 + 0.209556i
\(493\) −30.2540 + 52.4014i −1.36257 + 2.36004i
\(494\) −18.2649 + 5.95146i −0.821778 + 0.267769i
\(495\) 7.46883 4.31213i 0.335699 0.193816i
\(496\) 0.101593 + 0.379148i 0.00456164 + 0.0170243i
\(497\) 12.8585 + 5.34876i 0.576781 + 0.239925i
\(498\) 11.3799 6.57021i 0.509947 0.294418i
\(499\) −2.19722 + 8.20014i −0.0983612 + 0.367089i −0.997508 0.0705590i \(-0.977522\pi\)
0.899146 + 0.437648i \(0.144188\pi\)
\(500\) −8.16833 + 8.16833i −0.365299 + 0.365299i
\(501\) −0.601273 + 0.601273i −0.0268629 + 0.0268629i
\(502\) −2.95781 + 11.0387i −0.132014 + 0.492682i
\(503\) −6.42502 + 3.70948i −0.286477 + 0.165398i −0.636352 0.771399i \(-0.719557\pi\)
0.349875 + 0.936796i \(0.386224\pi\)
\(504\) 2.62363 0.341405i 0.116866 0.0152074i
\(505\) 4.57862 + 17.0877i 0.203746 + 0.760391i
\(506\) 3.88846 2.24500i 0.172863 0.0998025i
\(507\) −7.65872 10.5045i −0.340136 0.466520i
\(508\) 5.20515 9.01558i 0.230941 0.400002i
\(509\) 8.68662 8.68662i 0.385028 0.385028i −0.487882 0.872910i \(-0.662230\pi\)
0.872910 + 0.487882i \(0.162230\pi\)
\(510\) 8.88869 + 5.13189i 0.393598 + 0.227244i
\(511\) 3.16293 + 24.3066i 0.139920 + 1.07526i
\(512\) 0.707107 + 0.707107i 0.0312500 + 0.0312500i
\(513\) 5.14638 1.37897i 0.227218 0.0608829i
\(514\) −6.73622 6.73622i −0.297122 0.297122i
\(515\) 4.90026 + 18.2880i 0.215931 + 0.805867i
\(516\) −0.142904 0.0825059i −0.00629101 0.00363212i
\(517\) −36.4353 + 63.1078i −1.60242 + 2.77548i
\(518\) 2.04837 15.3806i 0.0900003 0.675785i
\(519\) 9.23304i 0.405285i
\(520\) −5.21391 1.10371i −0.228645 0.0484010i
\(521\) −9.80499 5.66091i −0.429564 0.248009i 0.269597 0.962973i \(-0.413110\pi\)
−0.699161 + 0.714964i \(0.746443\pi\)
\(522\) −2.25534 + 8.41705i −0.0987137 + 0.368404i
\(523\) 0.701950i 0.0306941i −0.999882 0.0153471i \(-0.995115\pi\)
0.999882 0.0153471i \(-0.00488531\pi\)
\(524\) −1.97165 3.41500i −0.0861320 0.149185i
\(525\) 0.983259 7.38299i 0.0429129 0.322220i
\(526\) 5.99181 22.3617i 0.261255 0.975018i
\(527\) −0.705436 2.63272i −0.0307293 0.114683i
\(528\) −5.63579 + 1.51010i −0.245266 + 0.0657189i
\(529\) 22.4078 0.974252
\(530\) 13.1486 0.571137
\(531\) 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
\(535\) −3.79675 1.01734i −0.164148 0.0439833i
\(536\) −2.39145 4.14211i −0.103295 0.178912i
\(537\) −5.22088 + 9.04284i −0.225298 + 0.390227i
\(538\) 19.4365 19.4365i 0.837965 0.837965i
\(539\) 35.3089 + 20.5271i 1.52086 + 0.884165i
\(540\) 1.42776 + 0.382567i 0.0614409 + 0.0164631i
\(541\) 7.76639 + 2.08100i 0.333903 + 0.0894691i 0.421875 0.906654i \(-0.361372\pi\)
−0.0879721 + 0.996123i \(0.528039\pi\)
\(542\) 27.9396i 1.20011i
\(543\) 1.04909 0.605691i 0.0450207 0.0259927i
\(544\) −4.91000 4.91000i −0.210514 0.210514i
\(545\) −22.1577 −0.949130
\(546\) 8.61285 4.10107i 0.368596 0.175510i
\(547\) 13.2526 0.566641 0.283321 0.959025i \(-0.408564\pi\)
0.283321 + 0.959025i \(0.408564\pi\)
\(548\) −2.02014 2.02014i −0.0862962 0.0862962i
\(549\) 4.89047 2.82351i 0.208720 0.120505i
\(550\) 16.4252i 0.700375i
\(551\) 44.8454 + 12.0163i 1.91048 + 0.511911i
\(552\) 0.743327 + 0.199174i 0.0316381 + 0.00847740i
\(553\) −19.3935 + 7.99900i −0.824696 + 0.340152i
\(554\) −5.92508 + 5.92508i −0.251732 + 0.251732i
\(555\) 4.33434 7.50731i 0.183983 0.318667i
\(556\) 4.77864 + 8.27684i 0.202659 + 0.351016i
\(557\) −8.16213 2.18704i −0.345841 0.0926677i 0.0817176 0.996656i \(-0.473959\pi\)
−0.427558 + 0.903988i \(0.640626\pi\)
\(558\) −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
\(562\) −2.89591 −0.122156
\(563\) −12.1773 −0.513214 −0.256607 0.966516i \(-0.582605\pi\)
−0.256607 + 0.966516i \(0.582605\pi\)
\(564\) −12.0638 + 3.23250i −0.507980 + 0.136113i
\(565\) −3.79348 14.1574i −0.159593 0.595608i
\(566\) −0.232877 + 0.869108i −0.00978854 + 0.0365313i
\(567\) −2.44587 + 1.00882i −0.102717 + 0.0423663i
\(568\) −2.63188 4.55854i −0.110431 0.191272i
\(569\) 17.9156i 0.751060i −0.926810 0.375530i \(-0.877461\pi\)
0.926810 0.375530i \(-0.122539\pi\)
\(570\) 2.03829 7.60698i 0.0853744 0.318622i
\(571\) 32.2814 + 18.6377i 1.35093 + 0.779962i 0.988380 0.152001i \(-0.0485716\pi\)
0.362554 + 0.931963i \(0.381905\pi\)
\(572\) −17.6335 + 11.4722i −0.737294 + 0.479678i
\(573\) 24.8840i 1.03954i
\(574\) −13.7820 10.6082i −0.575251 0.442778i
\(575\) 1.08320 1.87615i 0.0451724 0.0782409i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 0.997816 + 3.72390i 0.0415396 + 0.155028i 0.983580 0.180470i \(-0.0577620\pi\)
−0.942041 + 0.335498i \(0.891095\pi\)
\(578\) 22.0731 + 22.0731i 0.918121 + 0.918121i
\(579\) −17.9106 + 4.79914i −0.744341 + 0.199446i
\(580\) 9.10778 + 9.10778i 0.378180 + 0.378180i
\(581\) 21.1230 + 27.6136i 0.876328 + 1.14561i
\(582\) −0.764025 0.441110i −0.0316699 0.0182846i
\(583\) 36.6997 36.6997i 1.51995 1.51995i
\(584\) 4.63223 8.02326i 0.191683 0.332005i
\(585\) 5.32192 0.283355i 0.220034 0.0117153i
\(586\) 27.1223 15.6591i 1.12041 0.646870i
\(587\) −8.69926 32.4661i −0.359057 1.34002i −0.875302 0.483577i \(-0.839337\pi\)
0.516245 0.856441i \(-0.327329\pi\)
\(588\) 1.79144 + 6.76689i 0.0738778 + 0.279062i
\(589\) −1.81115 + 1.04567i −0.0746270 + 0.0430859i
\(590\) 0.333769 1.24564i 0.0137411 0.0512823i
\(591\) −0.687542 + 0.687542i −0.0282817 + 0.0282817i
\(592\) −4.14694 + 4.14694i −0.170438 + 0.170438i
\(593\) −12.4245 + 46.3688i −0.510212 + 1.90414i −0.0920820 + 0.995751i \(0.529352\pi\)
−0.418130 + 0.908387i \(0.637314\pi\)
\(594\) 5.05291 2.91730i 0.207323 0.119698i
\(595\) −10.4295 + 25.0727i −0.427570 + 1.02788i
\(596\) −2.70387 10.0910i −0.110755 0.413343i
\(597\) 1.01469 0.585830i 0.0415284 0.0239764i
\(598\) 2.77072 0.147522i 0.113303 0.00603262i
\(599\) 8.59552 14.8879i 0.351204 0.608302i −0.635257 0.772301i \(-0.719106\pi\)
0.986461 + 0.163998i \(0.0524392\pi\)
\(600\) −1.99061 + 1.99061i −0.0812663 + 0.0812663i
\(601\) 8.13421 + 4.69629i 0.331801 + 0.191566i 0.656641 0.754204i \(-0.271977\pi\)
−0.324839 + 0.945769i \(0.605310\pi\)
\(602\) 0.167677 0.403096i 0.00683399 0.0164290i
\(603\) 3.38202 + 3.38202i 0.137727 + 0.137727i
\(604\) 4.33716 1.16214i 0.176476 0.0472867i
\(605\) −24.0838 24.0838i −0.979147 0.979147i
\(606\) 3.09759 + 11.5604i 0.125831 + 0.469608i
\(607\) −6.86013 3.96070i −0.278444 0.160760i 0.354275 0.935141i \(-0.384728\pi\)
−0.632719 + 0.774382i \(0.718061\pi\)
\(608\) −2.66396 + 4.61411i −0.108038 + 0.187127i
\(609\) −22.8532 3.04357i −0.926060 0.123332i
\(610\) 8.34701i 0.337960i
\(611\) −37.7459 + 24.5572i −1.52704 + 0.993478i
\(612\) 6.01349 + 3.47189i 0.243081 + 0.140343i
\(613\) −5.73019 + 21.3854i −0.231440 + 0.863747i 0.748281 + 0.663382i \(0.230880\pi\)
−0.979721 + 0.200365i \(0.935787\pi\)
\(614\) 8.92471i 0.360172i
\(615\) −4.85825 8.41473i −0.195903 0.339315i
\(616\) −5.88604 14.2707i −0.237155 0.574982i
\(617\) 12.1595 45.3797i 0.489521 1.82692i −0.0692532 0.997599i \(-0.522062\pi\)
0.558775 0.829320i \(-0.311272\pi\)
\(618\) 3.31519 + 12.3725i 0.133357 + 0.497693i
\(619\) −25.2615 + 6.76879i −1.01534 + 0.272061i −0.727861 0.685725i \(-0.759485\pi\)
−0.287483 + 0.957786i \(0.592819\pi\)
\(620\) −0.580198 −0.0233013
\(621\) −0.769549 −0.0308809
\(622\) −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
\(626\) −12.2409 3.27993i −0.489244 0.131092i
\(627\) −15.5431 26.9215i −0.620733 1.07514i
\(628\) −7.35677 + 12.7423i −0.293567 + 0.508473i
\(629\) 28.7954 28.7954i 1.14815 1.14815i
\(630\) −0.516271 + 3.87652i −0.0205687 + 0.154444i
\(631\) −30.2532 8.10633i −1.20436 0.322708i −0.399814 0.916596i \(-0.630925\pi\)
−0.804547 + 0.593888i \(0.797592\pi\)
\(632\) 7.65891 + 2.05220i 0.304655 + 0.0816320i
\(633\) 16.8653i 0.670334i
\(634\) −11.9410 + 6.89414i −0.474238 + 0.273801i
\(635\) 10.8808 + 10.8808i 0.431790 + 0.431790i
\(636\) 8.89544 0.352727
\(637\) 13.7002 + 21.1968i 0.542820 + 0.839849i
\(638\) 50.8425 2.01287
\(639\) 3.72203 + 3.72203i 0.147241 + 0.147241i
\(640\) −1.28009 + 0.739062i −0.0506001 + 0.0292140i
\(641\) 25.7914i 1.01870i 0.860560 + 0.509349i \(0.170114\pi\)
−0.860560 + 0.509349i \(0.829886\pi\)
\(642\) −2.56863 0.688262i −0.101376 0.0271635i
\(643\) −17.7658 4.76034i −0.700616 0.187730i −0.109110 0.994030i \(-0.534800\pi\)
−0.591507 + 0.806300i \(0.701467\pi\)
\(644\) −0.268784 + 2.01821i −0.0105916 + 0.0795288i
\(645\) 0.172469 0.172469i 0.00679096 0.00679096i
\(646\) 18.4980 32.0394i 0.727793 1.26057i
\(647\) 1.85249 + 3.20861i 0.0728289 + 0.126143i 0.900140 0.435601i \(-0.143464\pi\)
−0.827311 + 0.561744i \(0.810131\pi\)
\(648\) 0.965926 + 0.258819i 0.0379452 + 0.0101674i
\(649\) −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
\(653\) −12.1069 −0.473781 −0.236891 0.971536i \(-0.576128\pi\)
−0.236891 + 0.971536i \(0.576128\pi\)
\(654\) −14.9904 −0.586171
\(655\) 5.63009 1.50858i 0.219986 0.0589450i
\(656\) 1.70135 + 6.34954i 0.0664267 + 0.247908i
\(657\) −2.39782 + 8.94879i −0.0935479 + 0.349125i
\(658\) −12.5995 30.5475i −0.491181 1.19087i
\(659\) 6.59589 + 11.4244i 0.256939 + 0.445032i 0.965420 0.260698i \(-0.0839526\pi\)
−0.708481 + 0.705730i \(0.750619\pi\)
\(660\) 8.62426i 0.335699i
\(661\) 3.26954 12.2021i 0.127170 0.474606i −0.872737 0.488190i \(-0.837657\pi\)
0.999908 + 0.0135839i \(0.00432402\pi\)
\(662\) −22.2889 12.8685i −0.866283 0.500149i
\(663\) 24.4934 + 5.18491i 0.951244 + 0.201365i
\(664\) 13.1404i 0.509947i
\(665\) 20.6538 + 2.75065i 0.800920 + 0.106666i
\(666\) 2.93233 5.07894i 0.113625 0.196805i
\(667\) −5.80742 3.35291i −0.224864 0.129825i
\(668\) 0.220081 + 0.821354i 0.00851519 + 0.0317791i
\(669\) −0.178974 0.178974i −0.00691952 0.00691952i
\(670\) 6.82883 1.82978i 0.263821 0.0706905i
\(671\) −23.2978 23.2978i −0.899403 0.899403i
\(672\) 1.01615 2.44283i 0.0391989 0.0942344i
\(673\) 33.2503 + 19.1971i 1.28170 + 0.739993i 0.977160 0.212505i \(-0.0681623\pi\)
0.304545 + 0.952498i \(0.401496\pi\)
\(674\) −23.7326 + 23.7326i −0.914147 + 0.914147i
\(675\) 1.40757 2.43799i 0.0541775 0.0938383i
\(676\) −12.9265 + 1.38041i −0.497173 + 0.0530926i
\(677\) −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
\(679\) 0.896469 2.15512i 0.0344033 0.0827058i
\(680\) 8.88869 5.13189i 0.340866 0.196799i
\(681\) −0.432323 + 1.61345i −0.0165666 + 0.0618276i
\(682\) −1.61943 + 1.61943i −0.0620110 + 0.0620110i
\(683\) 11.8562 11.8562i 0.453665 0.453665i −0.442904 0.896569i \(-0.646052\pi\)
0.896569 + 0.442904i \(0.146052\pi\)
\(684\) 1.37897 5.14638i 0.0527261 0.196777i
\(685\) 3.65712 2.11144i 0.139731 0.0806738i
\(686\) −17.1422 + 7.01033i −0.654493 + 0.267655i
\(687\) 6.94421 + 25.9161i 0.264938 + 0.988763i
\(688\) −0.142904 + 0.0825059i −0.00544818 + 0.00314551i
\(689\) 30.4949 9.93649i 1.16176 0.378550i
\(690\) −0.568744 + 0.985094i −0.0216517 + 0.0375019i
\(691\) 1.02361 1.02361i 0.0389398 0.0389398i −0.687369 0.726309i \(-0.741234\pi\)
0.726309 + 0.687369i \(0.241234\pi\)
\(692\) 7.99605 + 4.61652i 0.303964 + 0.175494i
\(693\) 9.37900 + 12.2610i 0.356279 + 0.465756i
\(694\) −20.8639 20.8639i −0.791983 0.791983i
\(695\) −13.6455 + 3.65630i −0.517603 + 0.138691i
\(696\) 6.16171 + 6.16171i 0.233559 + 0.233559i
\(697\) −11.8138 44.0898i −0.447481 1.67002i
\(698\) 16.1606 + 9.33031i 0.611687 + 0.353158i
\(699\) −8.39675 + 14.5436i −0.317594 + 0.550089i
\(700\) −5.90223 4.54302i −0.223083 0.171710i
\(701\) 22.7118i 0.857812i −0.903349 0.428906i \(-0.858899\pi\)
0.903349 0.428906i \(-0.141101\pi\)
\(702\) 3.60045 0.191699i 0.135890 0.00723522i
\(703\) −27.0602 15.6232i −1.02059 0.589240i
\(704\) −1.51010 + 5.63579i −0.0569142 + 0.212407i
\(705\) 18.4609i 0.695278i
\(706\) −12.2289 21.1811i −0.460241 0.797160i
\(707\) −29.2726 + 12.0737i −1.10091 + 0.454078i
\(708\) 0.225806 0.842719i 0.00848630 0.0316713i
\(709\) 5.70253 + 21.2821i 0.214163 + 0.799268i 0.986459 + 0.164005i \(0.0524414\pi\)
−0.772296 + 0.635263i \(0.780892\pi\)
\(710\) 7.51537 2.01374i 0.282047 0.0755742i
\(711\) −7.92908 −0.297364
\(712\) −8.91716 −0.334185
\(713\) 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
\(717\) 2.27577 + 0.609791i 0.0849902 + 0.0227731i
\(718\) 12.0128 + 20.8068i 0.448315 + 0.776504i
\(719\) 11.2731 19.5257i 0.420417 0.728184i −0.575563 0.817758i \(-0.695217\pi\)
0.995980 + 0.0895733i \(0.0285503\pi\)
\(720\) 1.04519 1.04519i 0.0389520 0.0389520i
\(721\) −31.3290 + 12.9219i −1.16675 + 0.481235i
\(722\) −9.06689 2.42947i −0.337435 0.0904154i
\(723\) −14.3501 3.84511i −0.533687 0.143001i
\(724\) 1.21138i 0.0450207i
\(725\) 21.2446 12.2656i 0.789004 0.455532i
\(726\) −16.2935 16.2935i −0.604709 0.604709i
\(727\) −22.2011 −0.823394 −0.411697 0.911321i \(-0.635064\pi\)
−0.411697 + 0.911321i \(0.635064\pi\)
\(728\) 0.754796 9.50948i 0.0279746 0.352445i
\(729\) −1.00000 −0.0370370
\(730\) 9.68315 + 9.68315i 0.358389 + 0.358389i
\(731\) 0.992297 0.572903i 0.0367014 0.0211896i
\(732\) 5.64703i 0.208720i
\(733\) −22.8069 6.11108i −0.842390 0.225718i −0.188279 0.982116i \(-0.560291\pi\)
−0.654112 + 0.756398i \(0.726957\pi\)
\(734\) −6.82318 1.82827i −0.251848 0.0674825i
\(735\) −10.3468 0.0310413i −0.381648 0.00114498i
\(736\) 0.544153 0.544153i 0.0200577 0.0200577i
\(737\) 13.9531 24.1676i 0.513971 0.890223i
\(738\) −3.28676 5.69284i −0.120987 0.209556i
\(739\) 24.1819 + 6.47951i 0.889545 + 0.238353i 0.674521 0.738256i \(-0.264350\pi\)
0.215024 + 0.976609i \(0.431017\pi\)
\(740\) −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 \(0.499477\pi\)
\(744\) −0.392523 −0.0143906
\(745\) 15.4419 0.565748
\(746\) 10.8271 2.90111i 0.396408 0.106217i
\(747\) 3.40099 + 12.6927i 0.124436 + 0.464400i
\(748\) 10.4858 39.1337i 0.383400 1.43087i
\(749\) 0.928804 6.97411i 0.0339378 0.254828i
\(750\) −5.77588 10.0041i −0.210905 0.365299i
\(751\) 32.1160i 1.17193i −0.810337 0.585964i \(-0.800716\pi\)
0.810337 0.585964i \(-0.199284\pi\)
\(752\) −3.23250 + 12.0638i −0.117877 + 0.439923i
\(753\) −9.89703 5.71406i −0.360668 0.208232i
\(754\) 28.0061 + 14.2405i 1.01992 + 0.518607i
\(755\) 6.63701i 0.241545i
\(756\) −0.349274 + 2.62260i −0.0127030 + 0.0953829i
\(757\) 1.29840 2.24889i 0.0471910 0.0817372i −0.841465 0.540312i \(-0.818306\pi\)
0.888656 + 0.458574i \(0.151640\pi\)
\(758\) 2.81423 + 1.62480i 0.102218 + 0.0590153i
\(759\) 1.16210 + 4.33701i 0.0421815 + 0.157424i
\(760\) −5.56870 5.56870i −0.201998 0.201998i
\(761\) −13.9619 + 3.74108i −0.506118 + 0.135614i −0.502838 0.864381i \(-0.667711\pi\)
−0.00328001 + 0.999995i \(0.501044\pi\)
\(762\) 7.36119 + 7.36119i 0.266668 + 0.266668i
\(763\) −5.11779 39.3293i −0.185276 1.42382i
\(764\) 21.5502 + 12.4420i 0.779658 + 0.450136i
\(765\) −7.25758 + 7.25758i −0.262399 + 0.262399i
\(766\) 2.97448 5.15195i 0.107472 0.186148i
\(767\) −0.167247 3.14120i −0.00603895 0.113422i
\(768\) −0.866025 + 0.500000i −0.0312500 + 0.0180422i
\(769\) −5.20930 19.4414i −0.187852 0.701074i −0.994002 0.109363i \(-0.965119\pi\)
0.806150 0.591712i \(-0.201548\pi\)
\(770\) 22.6269 2.94436i 0.815416 0.106107i
\(771\) 8.25015 4.76323i 0.297122 0.171543i
\(772\) −4.79914 + 17.9106i −0.172725 + 0.644618i
\(773\) 19.0927 19.0927i 0.686718 0.686718i −0.274787 0.961505i \(-0.588607\pi\)
0.961505 + 0.274787i \(0.0886073\pi\)
\(774\)