Properties

Label 546.2.by.b.397.2
Level $546$
Weight $2$
Character 546.397
Analytic conductor $4.360$
Analytic rank $0$
Dimension $40$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 397.2
Character \(\chi\) \(=\) 546.397
Dual form 546.2.by.b.535.2

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.258819 + 0.965926i) q^{2} +1.00000i q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.349490 - 1.30432i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.635473 - 2.56830i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +O(q^{10})\) \(q+(-0.258819 + 0.965926i) q^{2} +1.00000i q^{3} +(-0.866025 - 0.500000i) q^{4} +(-0.349490 - 1.30432i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.635473 - 2.56830i) q^{7} +(0.707107 - 0.707107i) q^{8} -1.00000 q^{9} +1.35033 q^{10} +(-1.88349 + 1.88349i) q^{11} +(0.500000 - 0.866025i) q^{12} +(3.33563 + 1.36878i) q^{13} +(2.64526 + 0.0509058i) q^{14} +(1.30432 - 0.349490i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.62268 - 4.54261i) q^{17} +(0.258819 - 0.965926i) q^{18} +(4.88227 - 4.88227i) q^{19} +(-0.349490 + 1.30432i) q^{20} +(2.56830 - 0.635473i) q^{21} +(-1.33183 - 2.30679i) q^{22} +(0.227309 - 0.131237i) q^{23} +(0.707107 + 0.707107i) q^{24} +(2.75103 - 1.58831i) q^{25} +(-2.18547 + 2.86771i) q^{26} -1.00000i q^{27} +(-0.733815 + 2.54195i) q^{28} +(3.07741 - 5.33023i) q^{29} +1.35033i q^{30} +(-0.421196 - 0.112859i) q^{31} +(-0.965926 + 0.258819i) q^{32} +(-1.88349 - 1.88349i) q^{33} +(3.70903 + 3.70903i) q^{34} +(-3.12779 + 1.72645i) q^{35} +(0.866025 + 0.500000i) q^{36} +(-2.65927 - 0.712550i) q^{37} +(3.45229 + 5.97954i) q^{38} +(-1.36878 + 3.33563i) q^{39} +(-1.16942 - 0.675164i) q^{40} +(2.81615 + 10.5100i) q^{41} +(-0.0509058 + 2.64526i) q^{42} +(6.74810 - 3.89602i) q^{43} +(2.57289 - 0.689405i) q^{44} +(0.349490 + 1.30432i) q^{45} +(0.0679332 + 0.253530i) q^{46} +(-5.55179 + 1.48760i) q^{47} +(-0.866025 + 0.500000i) q^{48} +(-6.19235 + 3.26417i) q^{49} +(0.822169 + 3.06837i) q^{50} +(4.54261 + 2.62268i) q^{51} +(-2.20435 - 2.85322i) q^{52} +(0.878238 + 1.52115i) q^{53} +(0.965926 + 0.258819i) q^{54} +(3.11493 + 1.79840i) q^{55} +(-2.26541 - 1.36672i) q^{56} +(4.88227 + 4.88227i) q^{57} +(4.35211 + 4.35211i) q^{58} +(-8.31990 + 2.22931i) q^{59} +(-1.30432 - 0.349490i) q^{60} -8.80035i q^{61} +(0.218027 - 0.377634i) q^{62} +(0.635473 + 2.56830i) q^{63} -1.00000i q^{64} +(0.619553 - 4.82909i) q^{65} +(2.30679 - 1.33183i) q^{66} +(-7.32433 - 7.32433i) q^{67} +(-4.54261 + 2.62268i) q^{68} +(0.131237 + 0.227309i) q^{69} +(-0.858097 - 3.46805i) q^{70} +(1.08417 - 4.04618i) q^{71} +(-0.707107 + 0.707107i) q^{72} +(1.30486 - 4.86981i) q^{73} +(1.37654 - 2.38424i) q^{74} +(1.58831 + 2.75103i) q^{75} +(-6.66931 + 1.78704i) q^{76} +(6.03427 + 3.64046i) q^{77} +(-2.86771 - 2.18547i) q^{78} +(3.12948 - 5.42042i) q^{79} +(0.954826 - 0.954826i) q^{80} +1.00000 q^{81} -10.8808 q^{82} +(-9.32218 + 9.32218i) q^{83} +(-2.54195 - 0.733815i) q^{84} +(-6.84160 - 1.83320i) q^{85} +(2.01673 + 7.52653i) q^{86} +(5.33023 + 3.07741i) q^{87} +2.66366i q^{88} +(-1.60580 + 5.99291i) q^{89} -1.35033 q^{90} +(1.39574 - 9.43673i) q^{91} -0.262474 q^{92} +(0.112859 - 0.421196i) q^{93} -5.74764i q^{94} +(-8.07433 - 4.66172i) q^{95} +(-0.258819 - 0.965926i) q^{96} +(18.5733 + 4.97669i) q^{97} +(-1.55025 - 6.82618i) q^{98} +(1.88349 - 1.88349i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 40q - 4q^{7} - 40q^{9} + O(q^{10}) \) \( 40q - 4q^{7} - 40q^{9} - 4q^{11} + 20q^{12} + 4q^{14} + 20q^{16} + 8q^{17} + 8q^{19} - 8q^{21} - 4q^{22} + 24q^{23} + 24q^{25} - 8q^{26} + 4q^{28} - 12q^{29} + 24q^{31} - 4q^{33} + 8q^{34} + 28q^{35} - 8q^{37} - 8q^{38} - 16q^{39} - 20q^{41} - 12q^{42} - 24q^{43} + 8q^{44} - 4q^{46} - 16q^{47} + 4q^{49} - 16q^{50} - 24q^{51} - 4q^{52} - 4q^{53} - 24q^{55} + 12q^{56} + 8q^{57} + 24q^{58} - 12q^{59} - 32q^{62} + 4q^{63} - 4q^{65} - 24q^{67} + 24q^{68} + 8q^{69} + 52q^{70} - 28q^{71} + 108q^{73} + 20q^{74} - 36q^{75} - 4q^{76} + 12q^{77} + 4q^{78} + 40q^{81} - 48q^{82} - 60q^{83} - 8q^{84} - 4q^{85} - 20q^{86} - 36q^{87} - 60q^{89} - 40q^{91} - 16q^{92} - 48q^{95} + 48q^{97} - 8q^{98} + 4q^{99} + O(q^{100}) \)

Character values

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

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.258819 + 0.965926i −0.183013 + 0.683013i
\(3\) 1.00000i 0.577350i
\(4\) −0.866025 0.500000i −0.433013 0.250000i
\(5\) −0.349490 1.30432i −0.156297 0.583308i −0.998991 0.0449150i \(-0.985698\pi\)
0.842694 0.538393i \(-0.180968\pi\)
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) −0.635473 2.56830i −0.240186 0.970727i
\(8\) 0.707107 0.707107i 0.250000 0.250000i
\(9\) −1.00000 −0.333333
\(10\) 1.35033 0.427011
\(11\) −1.88349 + 1.88349i −0.567893 + 0.567893i −0.931538 0.363645i \(-0.881532\pi\)
0.363645 + 0.931538i \(0.381532\pi\)
\(12\) 0.500000 0.866025i 0.144338 0.250000i
\(13\) 3.33563 + 1.36878i 0.925138 + 0.379632i
\(14\) 2.64526 + 0.0509058i 0.706976 + 0.0136051i
\(15\) 1.30432 0.349490i 0.336773 0.0902381i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.62268 4.54261i 0.636093 1.10174i −0.350190 0.936679i \(-0.613883\pi\)
0.986282 0.165066i \(-0.0527838\pi\)
\(18\) 0.258819 0.965926i 0.0610042 0.227671i
\(19\) 4.88227 4.88227i 1.12007 1.12007i 0.128340 0.991730i \(-0.459035\pi\)
0.991730 0.128340i \(-0.0409648\pi\)
\(20\) −0.349490 + 1.30432i −0.0781485 + 0.291654i
\(21\) 2.56830 0.635473i 0.560449 0.138672i
\(22\) −1.33183 2.30679i −0.283947 0.491810i
\(23\) 0.227309 0.131237i 0.0473972 0.0273648i −0.476114 0.879383i \(-0.657955\pi\)
0.523511 + 0.852019i \(0.324622\pi\)
\(24\) 0.707107 + 0.707107i 0.144338 + 0.144338i
\(25\) 2.75103 1.58831i 0.550206 0.317662i
\(26\) −2.18547 + 2.86771i −0.428605 + 0.562403i
\(27\) 1.00000i 0.192450i
\(28\) −0.733815 + 2.54195i −0.138678 + 0.480384i
\(29\) 3.07741 5.33023i 0.571461 0.989799i −0.424956 0.905214i \(-0.639710\pi\)
0.996416 0.0845847i \(-0.0269564\pi\)
\(30\) 1.35033i 0.246535i
\(31\) −0.421196 0.112859i −0.0756491 0.0202701i 0.220796 0.975320i \(-0.429135\pi\)
−0.296445 + 0.955050i \(0.595801\pi\)
\(32\) −0.965926 + 0.258819i −0.170753 + 0.0457532i
\(33\) −1.88349 1.88349i −0.327873 0.327873i
\(34\) 3.70903 + 3.70903i 0.636093 + 0.636093i
\(35\) −3.12779 + 1.72645i −0.528692 + 0.291824i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) −2.65927 0.712550i −0.437182 0.117143i 0.0335136 0.999438i \(-0.489330\pi\)
−0.470695 + 0.882296i \(0.655997\pi\)
\(38\) 3.45229 + 5.97954i 0.560035 + 0.970009i
\(39\) −1.36878 + 3.33563i −0.219181 + 0.534128i
\(40\) −1.16942 0.675164i −0.184901 0.106753i
\(41\) 2.81615 + 10.5100i 0.439808 + 1.64139i 0.729291 + 0.684203i \(0.239850\pi\)
−0.289483 + 0.957183i \(0.593483\pi\)
\(42\) −0.0509058 + 2.64526i −0.00785493 + 0.408173i
\(43\) 6.74810 3.89602i 1.02908 0.594137i 0.112356 0.993668i \(-0.464160\pi\)
0.916720 + 0.399531i \(0.130827\pi\)
\(44\) 2.57289 0.689405i 0.387878 0.103932i
\(45\) 0.349490 + 1.30432i 0.0520990 + 0.194436i
\(46\) 0.0679332 + 0.253530i 0.0100162 + 0.0373810i
\(47\) −5.55179 + 1.48760i −0.809812 + 0.216988i −0.639887 0.768469i \(-0.721019\pi\)
−0.169924 + 0.985457i \(0.554352\pi\)
\(48\) −0.866025 + 0.500000i −0.125000 + 0.0721688i
\(49\) −6.19235 + 3.26417i −0.884621 + 0.466310i
\(50\) 0.822169 + 3.06837i 0.116272 + 0.433934i
\(51\) 4.54261 + 2.62268i 0.636093 + 0.367248i
\(52\) −2.20435 2.85322i −0.305688 0.395670i
\(53\) 0.878238 + 1.52115i 0.120635 + 0.208946i 0.920018 0.391875i \(-0.128174\pi\)
−0.799383 + 0.600822i \(0.794840\pi\)
\(54\) 0.965926 + 0.258819i 0.131446 + 0.0352208i
\(55\) 3.11493 + 1.79840i 0.420017 + 0.242497i
\(56\) −2.26541 1.36672i −0.302728 0.182635i
\(57\) 4.88227 + 4.88227i 0.646673 + 0.646673i
\(58\) 4.35211 + 4.35211i 0.571461 + 0.571461i
\(59\) −8.31990 + 2.22931i −1.08316 + 0.290232i −0.755889 0.654700i \(-0.772795\pi\)
−0.327270 + 0.944931i \(0.606128\pi\)
\(60\) −1.30432 0.349490i −0.168387 0.0451190i
\(61\) 8.80035i 1.12677i −0.826195 0.563385i \(-0.809499\pi\)
0.826195 0.563385i \(-0.190501\pi\)
\(62\) 0.218027 0.377634i 0.0276895 0.0479596i
\(63\) 0.635473 + 2.56830i 0.0800621 + 0.323576i
\(64\) 1.00000i 0.125000i
\(65\) 0.619553 4.82909i 0.0768461 0.598975i
\(66\) 2.30679 1.33183i 0.283947 0.163937i
\(67\) −7.32433 7.32433i −0.894809 0.894809i 0.100162 0.994971i \(-0.468064\pi\)
−0.994971 + 0.100162i \(0.968064\pi\)
\(68\) −4.54261 + 2.62268i −0.550872 + 0.318046i
\(69\) 0.131237 + 0.227309i 0.0157991 + 0.0273648i
\(70\) −0.858097 3.46805i −0.102562 0.414511i
\(71\) 1.08417 4.04618i 0.128667 0.480193i −0.871276 0.490793i \(-0.836707\pi\)
0.999944 + 0.0105994i \(0.00337396\pi\)
\(72\) −0.707107 + 0.707107i −0.0833333 + 0.0833333i
\(73\) 1.30486 4.86981i 0.152723 0.569968i −0.846567 0.532282i \(-0.821335\pi\)
0.999290 0.0376862i \(-0.0119987\pi\)
\(74\) 1.37654 2.38424i 0.160020 0.277162i
\(75\) 1.58831 + 2.75103i 0.183402 + 0.317662i
\(76\) −6.66931 + 1.78704i −0.765022 + 0.204987i
\(77\) 6.03427 + 3.64046i 0.687669 + 0.414869i
\(78\) −2.86771 2.18547i −0.324704 0.247455i
\(79\) 3.12948 5.42042i 0.352094 0.609845i −0.634522 0.772905i \(-0.718803\pi\)
0.986616 + 0.163060i \(0.0521364\pi\)
\(80\) 0.954826 0.954826i 0.106753 0.106753i
\(81\) 1.00000 0.111111
\(82\) −10.8808 −1.20158
\(83\) −9.32218 + 9.32218i −1.02324 + 1.02324i −0.0235188 + 0.999723i \(0.507487\pi\)
−0.999723 + 0.0235188i \(0.992513\pi\)
\(84\) −2.54195 0.733815i −0.277350 0.0800658i
\(85\) −6.84160 1.83320i −0.742076 0.198839i
\(86\) 2.01673 + 7.52653i 0.217469 + 0.811606i
\(87\) 5.33023 + 3.07741i 0.571461 + 0.329933i
\(88\) 2.66366i 0.283947i
\(89\) −1.60580 + 5.99291i −0.170214 + 0.635247i 0.827104 + 0.562050i \(0.189987\pi\)
−0.997317 + 0.0731975i \(0.976680\pi\)
\(90\) −1.35033 −0.142337
\(91\) 1.39574 9.43673i 0.146313 0.989238i
\(92\) −0.262474 −0.0273648
\(93\) 0.112859 0.421196i 0.0117030 0.0436760i
\(94\) 5.74764i 0.592823i
\(95\) −8.07433 4.66172i −0.828409 0.478282i
\(96\) −0.258819 0.965926i −0.0264156 0.0985844i
\(97\) 18.5733 + 4.97669i 1.88583 + 0.505306i 0.999072 + 0.0430700i \(0.0137138\pi\)
0.886757 + 0.462236i \(0.152953\pi\)
\(98\) −1.55025 6.82618i −0.156599 0.689548i
\(99\) 1.88349 1.88349i 0.189298 0.189298i
\(100\) −3.17662 −0.317662
\(101\) 3.12995 0.311441 0.155721 0.987801i \(-0.450230\pi\)
0.155721 + 0.987801i \(0.450230\pi\)
\(102\) −3.70903 + 3.70903i −0.367248 + 0.367248i
\(103\) −5.32608 + 9.22505i −0.524795 + 0.908971i 0.474789 + 0.880100i \(0.342525\pi\)
−0.999583 + 0.0288710i \(0.990809\pi\)
\(104\) 3.32652 1.39077i 0.326192 0.136376i
\(105\) −1.72645 3.12779i −0.168485 0.305241i
\(106\) −1.69662 + 0.454609i −0.164791 + 0.0441556i
\(107\) −4.50743 7.80711i −0.435750 0.754741i 0.561606 0.827405i \(-0.310184\pi\)
−0.997357 + 0.0726632i \(0.976850\pi\)
\(108\) −0.500000 + 0.866025i −0.0481125 + 0.0833333i
\(109\) 3.23079 12.0575i 0.309453 1.15490i −0.619590 0.784925i \(-0.712701\pi\)
0.929044 0.369970i \(-0.120632\pi\)
\(110\) −2.54333 + 2.54333i −0.242497 + 0.242497i
\(111\) 0.712550 2.65927i 0.0676323 0.252407i
\(112\) 1.90648 1.83449i 0.180145 0.173343i
\(113\) −0.0386809 0.0669973i −0.00363879 0.00630257i 0.864200 0.503148i \(-0.167825\pi\)
−0.867839 + 0.496845i \(0.834492\pi\)
\(114\) −5.97954 + 3.45229i −0.560035 + 0.323336i
\(115\) −0.250617 0.250617i −0.0233701 0.0233701i
\(116\) −5.33023 + 3.07741i −0.494899 + 0.285730i
\(117\) −3.33563 1.36878i −0.308379 0.126544i
\(118\) 8.61339i 0.792927i
\(119\) −13.3334 3.84912i −1.22227 0.352848i
\(120\) 0.675164 1.16942i 0.0616337 0.106753i
\(121\) 3.90494i 0.354994i
\(122\) 8.50048 + 2.27770i 0.769598 + 0.206213i
\(123\) −10.5100 + 2.81615i −0.947655 + 0.253923i
\(124\) 0.308337 + 0.308337i 0.0276895 + 0.0276895i
\(125\) −7.80724 7.80724i −0.698301 0.698301i
\(126\) −2.64526 0.0509058i −0.235659 0.00453504i
\(127\) 12.3722 + 7.14308i 1.09785 + 0.633846i 0.935656 0.352913i \(-0.114809\pi\)
0.162197 + 0.986758i \(0.448142\pi\)
\(128\) 0.965926 + 0.258819i 0.0853766 + 0.0228766i
\(129\) 3.89602 + 6.74810i 0.343025 + 0.594137i
\(130\) 4.50419 + 1.84830i 0.395044 + 0.162107i
\(131\) 10.4094 + 6.00988i 0.909475 + 0.525086i 0.880262 0.474488i \(-0.157367\pi\)
0.0292128 + 0.999573i \(0.490700\pi\)
\(132\) 0.689405 + 2.57289i 0.0600050 + 0.223942i
\(133\) −15.6417 9.43660i −1.35631 0.818257i
\(134\) 8.97043 5.17908i 0.774928 0.447405i
\(135\) −1.30432 + 0.349490i −0.112258 + 0.0300794i
\(136\) −1.35760 5.06662i −0.116413 0.434459i
\(137\) −0.827900 3.08976i −0.0707323 0.263976i 0.921499 0.388380i \(-0.126965\pi\)
−0.992232 + 0.124403i \(0.960298\pi\)
\(138\) −0.253530 + 0.0679332i −0.0215819 + 0.00578286i
\(139\) −5.23898 + 3.02473i −0.444365 + 0.256554i −0.705447 0.708762i \(-0.749254\pi\)
0.261083 + 0.965316i \(0.415921\pi\)
\(140\) 3.57197 + 0.0687394i 0.301887 + 0.00580954i
\(141\) −1.48760 5.55179i −0.125278 0.467545i
\(142\) 3.62770 + 2.09446i 0.304430 + 0.175763i
\(143\) −8.86071 + 3.70454i −0.740970 + 0.309789i
\(144\) −0.500000 0.866025i −0.0416667 0.0721688i
\(145\) −8.02783 2.15105i −0.666675 0.178635i
\(146\) 4.36615 + 2.52080i 0.361345 + 0.208623i
\(147\) −3.26417 6.19235i −0.269224 0.510736i
\(148\) 1.94672 + 1.94672i 0.160020 + 0.160020i
\(149\) −1.94298 1.94298i −0.159175 0.159175i 0.623026 0.782201i \(-0.285903\pi\)
−0.782201 + 0.623026i \(0.785903\pi\)
\(150\) −3.06837 + 0.822169i −0.250532 + 0.0671298i
\(151\) −12.1411 3.25321i −0.988032 0.264742i −0.271608 0.962408i \(-0.587556\pi\)
−0.716424 + 0.697665i \(0.754222\pi\)
\(152\) 6.90457i 0.560035i
\(153\) −2.62268 + 4.54261i −0.212031 + 0.367248i
\(154\) −5.07820 + 4.88644i −0.409213 + 0.393761i
\(155\) 0.588817i 0.0472949i
\(156\) 2.85322 2.20435i 0.228440 0.176489i
\(157\) −4.58939 + 2.64969i −0.366273 + 0.211468i −0.671829 0.740706i \(-0.734491\pi\)
0.305556 + 0.952174i \(0.401158\pi\)
\(158\) 4.42575 + 4.42575i 0.352094 + 0.352094i
\(159\) −1.52115 + 0.878238i −0.120635 + 0.0696488i
\(160\) 0.675164 + 1.16942i 0.0533764 + 0.0924506i
\(161\) −0.481505 0.500401i −0.0379479 0.0394371i
\(162\) −0.258819 + 0.965926i −0.0203347 + 0.0758903i
\(163\) −17.4577 + 17.4577i −1.36739 + 1.36739i −0.503251 + 0.864140i \(0.667863\pi\)
−0.864140 + 0.503251i \(0.832137\pi\)
\(164\) 2.81615 10.5100i 0.219904 0.820693i
\(165\) −1.79840 + 3.11493i −0.140006 + 0.242497i
\(166\) −6.59178 11.4173i −0.511621 0.886154i
\(167\) 23.6159 6.32787i 1.82745 0.489665i 0.829796 0.558066i \(-0.188456\pi\)
0.997658 + 0.0684012i \(0.0217898\pi\)
\(168\) 1.36672 2.26541i 0.105444 0.174780i
\(169\) 9.25287 + 9.13150i 0.711759 + 0.702423i
\(170\) 3.54147 6.13401i 0.271619 0.470457i
\(171\) −4.88227 + 4.88227i −0.373357 + 0.373357i
\(172\) −7.79203 −0.594137
\(173\) 0.338105 0.0257057 0.0128528 0.999917i \(-0.495909\pi\)
0.0128528 + 0.999917i \(0.495909\pi\)
\(174\) −4.35211 + 4.35211i −0.329933 + 0.329933i
\(175\) −5.82746 6.05615i −0.440514 0.457802i
\(176\) −2.57289 0.689405i −0.193939 0.0519658i
\(177\) −2.22931 8.31990i −0.167565 0.625362i
\(178\) −5.37310 3.10216i −0.402731 0.232517i
\(179\) 5.55247i 0.415011i 0.978234 + 0.207506i \(0.0665345\pi\)
−0.978234 + 0.207506i \(0.933465\pi\)
\(180\) 0.349490 1.30432i 0.0260495 0.0972180i
\(181\) 8.08476 0.600935 0.300468 0.953792i \(-0.402857\pi\)
0.300468 + 0.953792i \(0.402857\pi\)
\(182\) 8.75394 + 3.79059i 0.648885 + 0.280977i
\(183\) 8.80035 0.650541
\(184\) 0.0679332 0.253530i 0.00500810 0.0186905i
\(185\) 3.71756i 0.273321i
\(186\) 0.377634 + 0.218027i 0.0276895 + 0.0159865i
\(187\) 3.61617 + 13.4957i 0.264441 + 0.986906i
\(188\) 5.55179 + 1.48760i 0.404906 + 0.108494i
\(189\) −2.56830 + 0.635473i −0.186816 + 0.0462239i
\(190\) 6.59267 6.59267i 0.478282 0.478282i
\(191\) −13.3692 −0.967361 −0.483681 0.875245i \(-0.660700\pi\)
−0.483681 + 0.875245i \(0.660700\pi\)
\(192\) 1.00000 0.0721688
\(193\) 6.68495 6.68495i 0.481193 0.481193i −0.424320 0.905513i \(-0.639487\pi\)
0.905513 + 0.424320i \(0.139487\pi\)
\(194\) −9.61423 + 16.6523i −0.690261 + 1.19557i
\(195\) 4.82909 + 0.619553i 0.345819 + 0.0443671i
\(196\) 6.99482 + 0.269318i 0.499630 + 0.0192370i
\(197\) 11.1496 2.98754i 0.794379 0.212853i 0.161265 0.986911i \(-0.448443\pi\)
0.633115 + 0.774058i \(0.281776\pi\)
\(198\) 1.33183 + 2.30679i 0.0946489 + 0.163937i
\(199\) −1.12695 + 1.95194i −0.0798877 + 0.138369i −0.903201 0.429217i \(-0.858789\pi\)
0.823314 + 0.567587i \(0.192123\pi\)
\(200\) 0.822169 3.06837i 0.0581361 0.216967i
\(201\) 7.32433 7.32433i 0.516618 0.516618i
\(202\) −0.810090 + 3.02330i −0.0569977 + 0.212718i
\(203\) −15.6453 4.51650i −1.09808 0.316996i
\(204\) −2.62268 4.54261i −0.183624 0.318046i
\(205\) 12.7242 7.34629i 0.888693 0.513087i
\(206\) −7.53222 7.53222i −0.524795 0.524795i
\(207\) −0.227309 + 0.131237i −0.0157991 + 0.00912160i
\(208\) 0.482416 + 3.57313i 0.0334495 + 0.247752i
\(209\) 18.3914i 1.27216i
\(210\) 3.46805 0.858097i 0.239318 0.0592143i
\(211\) −11.1990 + 19.3972i −0.770968 + 1.33536i 0.166065 + 0.986115i \(0.446894\pi\)
−0.937033 + 0.349241i \(0.886439\pi\)
\(212\) 1.75648i 0.120635i
\(213\) 4.04618 + 1.08417i 0.277240 + 0.0742861i
\(214\) 8.70769 2.33322i 0.595246 0.159496i
\(215\) −7.44004 7.44004i −0.507406 0.507406i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) −0.0221977 + 1.15348i −0.00150688 + 0.0783032i
\(218\) 10.8104 + 6.24140i 0.732174 + 0.422721i
\(219\) 4.86981 + 1.30486i 0.329071 + 0.0881744i
\(220\) −1.79840 3.11493i −0.121248 0.210008i
\(221\) 14.9661 11.5626i 1.00673 0.777785i
\(222\) 2.38424 + 1.37654i 0.160020 + 0.0923874i
\(223\) 4.52520 + 16.8883i 0.303030 + 1.13092i 0.934628 + 0.355627i \(0.115733\pi\)
−0.631598 + 0.775296i \(0.717601\pi\)
\(224\) 1.27855 + 2.31632i 0.0854264 + 0.154765i
\(225\) −2.75103 + 1.58831i −0.183402 + 0.105887i
\(226\) 0.0747257 0.0200227i 0.00497068 0.00133189i
\(227\) 6.43187 + 24.0041i 0.426898 + 1.59321i 0.759742 + 0.650224i \(0.225325\pi\)
−0.332844 + 0.942982i \(0.608008\pi\)
\(228\) −1.78704 6.66931i −0.118349 0.441686i
\(229\) 1.12855 0.302393i 0.0745765 0.0199827i −0.221338 0.975197i \(-0.571042\pi\)
0.295914 + 0.955214i \(0.404376\pi\)
\(230\) 0.306942 0.177213i 0.0202391 0.0116851i
\(231\) −3.64046 + 6.03427i −0.239525 + 0.397026i
\(232\) −1.59298 5.94510i −0.104585 0.390315i
\(233\) 10.0524 + 5.80374i 0.658553 + 0.380216i 0.791725 0.610877i \(-0.209183\pi\)
−0.133172 + 0.991093i \(0.542516\pi\)
\(234\) 2.18547 2.86771i 0.142868 0.187468i
\(235\) 3.88060 + 6.72139i 0.253142 + 0.438455i
\(236\) 8.31990 + 2.22931i 0.541579 + 0.145116i
\(237\) 5.42042 + 3.12948i 0.352094 + 0.203282i
\(238\) 7.16891 11.8829i 0.464692 0.770253i
\(239\) −18.3896 18.3896i −1.18952 1.18952i −0.977199 0.212325i \(-0.931897\pi\)
−0.212325 0.977199i \(-0.568103\pi\)
\(240\) 0.954826 + 0.954826i 0.0616337 + 0.0616337i
\(241\) −28.7576 + 7.70558i −1.85244 + 0.496360i −0.999664 0.0259137i \(-0.991750\pi\)
−0.852778 + 0.522274i \(0.825084\pi\)
\(242\) −3.77188 1.01067i −0.242466 0.0649685i
\(243\) 1.00000i 0.0641500i
\(244\) −4.40017 + 7.62133i −0.281692 + 0.487905i
\(245\) 6.42168 + 6.93598i 0.410266 + 0.443124i
\(246\) 10.8808i 0.693732i
\(247\) 22.9682 9.60269i 1.46143 0.611005i
\(248\) −0.377634 + 0.218027i −0.0239798 + 0.0138447i
\(249\) −9.32218 9.32218i −0.590769 0.590769i
\(250\) 9.56188 5.52055i 0.604746 0.349151i
\(251\) −1.09799 1.90177i −0.0693042 0.120038i 0.829291 0.558817i \(-0.188745\pi\)
−0.898595 + 0.438779i \(0.855411\pi\)
\(252\) 0.733815 2.54195i 0.0462260 0.160128i
\(253\) −0.180951 + 0.675317i −0.0113763 + 0.0424568i
\(254\) −10.1018 + 10.1018i −0.633846 + 0.633846i
\(255\) 1.83320 6.84160i 0.114800 0.428438i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) −4.68798 8.11982i −0.292428 0.506501i 0.681955 0.731394i \(-0.261130\pi\)
−0.974383 + 0.224893i \(0.927797\pi\)
\(258\) −7.52653 + 2.01673i −0.468581 + 0.125556i
\(259\) −0.140148 + 7.28262i −0.00870836 + 0.452520i
\(260\) −2.95110 + 3.87234i −0.183019 + 0.240152i
\(261\) −3.07741 + 5.33023i −0.190487 + 0.329933i
\(262\) −8.49925 + 8.49925i −0.525086 + 0.525086i
\(263\) 24.7214 1.52438 0.762192 0.647351i \(-0.224123\pi\)
0.762192 + 0.647351i \(0.224123\pi\)
\(264\) −2.66366 −0.163937
\(265\) 1.67713 1.67713i 0.103025 0.103025i
\(266\) 13.1634 12.6663i 0.807101 0.776624i
\(267\) −5.99291 1.60580i −0.366760 0.0982731i
\(268\) 2.68089 + 10.0052i 0.163761 + 0.611166i
\(269\) −16.6582 9.61759i −1.01567 0.586395i −0.102820 0.994700i \(-0.532787\pi\)
−0.912846 + 0.408305i \(0.866120\pi\)
\(270\) 1.35033i 0.0821783i
\(271\) −0.225338 + 0.840971i −0.0136883 + 0.0510854i −0.972432 0.233186i \(-0.925085\pi\)
0.958744 + 0.284271i \(0.0917516\pi\)
\(272\) 5.24536 0.318046
\(273\) 9.43673 + 1.39574i 0.571137 + 0.0844741i
\(274\) 3.19876 0.193244
\(275\) −2.18997 + 8.17309i −0.132060 + 0.492856i
\(276\) 0.262474i 0.0157991i
\(277\) 18.3588 + 10.5994i 1.10307 + 0.636859i 0.937026 0.349259i \(-0.113567\pi\)
0.166046 + 0.986118i \(0.446900\pi\)
\(278\) −1.56571 5.84333i −0.0939053 0.350459i
\(279\) 0.421196 + 0.112859i 0.0252164 + 0.00675671i
\(280\) −0.990891 + 3.43247i −0.0592171 + 0.205129i
\(281\) 20.7859 20.7859i 1.23999 1.23999i 0.279980 0.960006i \(-0.409672\pi\)
0.960006 0.279980i \(-0.0903278\pi\)
\(282\) 5.74764 0.342267
\(283\) 14.1826 0.843066 0.421533 0.906813i \(-0.361492\pi\)
0.421533 + 0.906813i \(0.361492\pi\)
\(284\) −2.96201 + 2.96201i −0.175763 + 0.175763i
\(285\) 4.66172 8.07433i 0.276136 0.478282i
\(286\) −1.28499 9.51759i −0.0759830 0.562787i
\(287\) 25.2033 13.9115i 1.48770 0.821172i
\(288\) 0.965926 0.258819i 0.0569177 0.0152511i
\(289\) −5.25687 9.10517i −0.309228 0.535598i
\(290\) 4.15551 7.19756i 0.244020 0.422655i
\(291\) −4.97669 + 18.5733i −0.291739 + 1.08878i
\(292\) −3.56495 + 3.56495i −0.208623 + 0.208623i
\(293\) −0.832864 + 3.10829i −0.0486564 + 0.181588i −0.985977 0.166879i \(-0.946631\pi\)
0.937321 + 0.348467i \(0.113298\pi\)
\(294\) 6.82618 1.55025i 0.398111 0.0904125i
\(295\) 5.81545 + 10.0727i 0.338589 + 0.586453i
\(296\) −2.38424 + 1.37654i −0.138581 + 0.0800098i
\(297\) 1.88349 + 1.88349i 0.109291 + 0.109291i
\(298\) 2.37965 1.37389i 0.137849 0.0795874i
\(299\) 0.937854 0.126622i 0.0542375 0.00732271i
\(300\) 3.17662i 0.183402i
\(301\) −14.2944 14.8553i −0.823914 0.856248i
\(302\) 6.28472 10.8855i 0.361645 0.626387i
\(303\) 3.12995i 0.179811i
\(304\) 6.66931 + 1.78704i 0.382511 + 0.102494i
\(305\) −11.4784 + 3.07564i −0.657253 + 0.176111i
\(306\) −3.70903 3.70903i −0.212031 0.212031i
\(307\) 6.69970 + 6.69970i 0.382372 + 0.382372i 0.871956 0.489584i \(-0.162851\pi\)
−0.489584 + 0.871956i \(0.662851\pi\)
\(308\) −3.40560 6.16987i −0.194052 0.351561i
\(309\) −9.22505 5.32608i −0.524795 0.302990i
\(310\) −0.568753 0.152397i −0.0323030 0.00865556i
\(311\) 16.2316 + 28.1140i 0.920411 + 1.59420i 0.798780 + 0.601624i \(0.205479\pi\)
0.121631 + 0.992575i \(0.461187\pi\)
\(312\) 1.39077 + 3.32652i 0.0787370 + 0.188327i
\(313\) 17.6916 + 10.2143i 0.999989 + 0.577344i 0.908245 0.418438i \(-0.137422\pi\)
0.0917443 + 0.995783i \(0.470756\pi\)
\(314\) −1.37158 5.11880i −0.0774026 0.288871i
\(315\) 3.12779 1.72645i 0.176231 0.0972747i
\(316\) −5.42042 + 3.12948i −0.304922 + 0.176047i
\(317\) −3.52424 + 0.944317i −0.197941 + 0.0530381i −0.356427 0.934323i \(-0.616005\pi\)
0.158486 + 0.987361i \(0.449339\pi\)
\(318\) −0.454609 1.69662i −0.0254932 0.0951420i
\(319\) 4.24316 + 15.8357i 0.237571 + 0.886629i
\(320\) −1.30432 + 0.349490i −0.0729135 + 0.0195371i
\(321\) 7.80711 4.50743i 0.435750 0.251580i
\(322\) 0.607973 0.335585i 0.0338810 0.0187014i
\(323\) −9.37364 34.9829i −0.521563 1.94650i
\(324\) −0.866025 0.500000i −0.0481125 0.0277778i
\(325\) 11.3505 1.53245i 0.629611 0.0850050i
\(326\) −12.3444 21.3812i −0.683696 1.18420i
\(327\) 12.0575 + 3.23079i 0.666779 + 0.178663i
\(328\) 9.42301 + 5.44038i 0.520299 + 0.300395i
\(329\) 7.34861 + 13.3133i 0.405142 + 0.733988i
\(330\) −2.54333 2.54333i −0.140006 0.140006i
\(331\) 1.60022 + 1.60022i 0.0879562 + 0.0879562i 0.749716 0.661760i \(-0.230190\pi\)
−0.661760 + 0.749716i \(0.730190\pi\)
\(332\) 12.7343 3.41215i 0.698887 0.187266i
\(333\) 2.65927 + 0.712550i 0.145727 + 0.0390475i
\(334\) 24.4490i 1.33779i
\(335\) −6.99346 + 12.1130i −0.382093 + 0.661805i
\(336\) 1.83449 + 1.90648i 0.100079 + 0.104007i
\(337\) 17.8521i 0.972466i 0.873829 + 0.486233i \(0.161629\pi\)
−0.873829 + 0.486233i \(0.838371\pi\)
\(338\) −11.2152 + 6.57418i −0.610025 + 0.357588i
\(339\) 0.0669973 0.0386809i 0.00363879 0.00210086i
\(340\) 5.00840 + 5.00840i 0.271619 + 0.271619i
\(341\) 1.00589 0.580750i 0.0544719 0.0314494i
\(342\) −3.45229 5.97954i −0.186678 0.323336i
\(343\) 12.3184 + 13.8295i 0.665134 + 0.746724i
\(344\) 2.01673 7.52653i 0.108735 0.405803i
\(345\) 0.250617 0.250617i 0.0134928 0.0134928i
\(346\) −0.0875081 + 0.326585i −0.00470446 + 0.0175573i
\(347\) −7.84855 + 13.5941i −0.421332 + 0.729769i −0.996070 0.0885688i \(-0.971771\pi\)
0.574738 + 0.818338i \(0.305104\pi\)
\(348\) −3.07741 5.33023i −0.164966 0.285730i
\(349\) −28.8777 + 7.73776i −1.54579 + 0.414193i −0.928131 0.372254i \(-0.878585\pi\)
−0.617658 + 0.786447i \(0.711918\pi\)
\(350\) 7.35805 4.06145i 0.393304 0.217093i
\(351\) 1.36878 3.33563i 0.0730602 0.178043i
\(352\) 1.33183 2.30679i 0.0709867 0.122952i
\(353\) −19.0087 + 19.0087i −1.01173 + 1.01173i −0.0118026 + 0.999930i \(0.503757\pi\)
−0.999930 + 0.0118026i \(0.996243\pi\)
\(354\) 8.61339 0.457797
\(355\) −5.65640 −0.300211
\(356\) 4.38711 4.38711i 0.232517 0.232517i
\(357\) 3.84912 13.3334i 0.203717 0.705680i
\(358\) −5.36328 1.43709i −0.283458 0.0759523i
\(359\) −7.94019 29.6332i −0.419067 1.56398i −0.776547 0.630059i \(-0.783031\pi\)
0.357480 0.933921i \(-0.383636\pi\)
\(360\) 1.16942 + 0.675164i 0.0616337 + 0.0355843i
\(361\) 28.6732i 1.50911i
\(362\) −2.09249 + 7.80927i −0.109979 + 0.410446i
\(363\) −3.90494 −0.204956
\(364\) −5.92711 + 7.47458i −0.310665 + 0.391774i
\(365\) −6.80781 −0.356337
\(366\) −2.27770 + 8.50048i −0.119057 + 0.444327i
\(367\) 15.0537i 0.785798i −0.919582 0.392899i \(-0.871472\pi\)
0.919582 0.392899i \(-0.128528\pi\)
\(368\) 0.227309 + 0.131237i 0.0118493 + 0.00684120i
\(369\) −2.81615 10.5100i −0.146603 0.547129i
\(370\) −3.59089 0.962176i −0.186681 0.0500212i
\(371\) 3.34868 3.22223i 0.173855 0.167290i
\(372\) −0.308337 + 0.308337i −0.0159865 + 0.0159865i
\(373\) 10.6343 0.550623 0.275311 0.961355i \(-0.411219\pi\)
0.275311 + 0.961355i \(0.411219\pi\)
\(374\) −13.9718 −0.722466
\(375\) 7.80724 7.80724i 0.403164 0.403164i
\(376\) −2.87382 + 4.97760i −0.148206 + 0.256700i
\(377\) 17.5610 13.5674i 0.904439 0.698756i
\(378\) 0.0509058 2.64526i 0.00261831 0.136058i
\(379\) 1.39615 0.374098i 0.0717156 0.0192161i −0.222783 0.974868i \(-0.571514\pi\)
0.294498 + 0.955652i \(0.404847\pi\)
\(380\) 4.66172 + 8.07433i 0.239141 + 0.414205i
\(381\) −7.14308 + 12.3722i −0.365951 + 0.633846i
\(382\) 3.46020 12.9137i 0.177039 0.660720i
\(383\) −18.4382 + 18.4382i −0.942150 + 0.942150i −0.998416 0.0562656i \(-0.982081\pi\)
0.0562656 + 0.998416i \(0.482081\pi\)
\(384\) −0.258819 + 0.965926i −0.0132078 + 0.0492922i
\(385\) 2.63939 9.14291i 0.134516 0.465966i
\(386\) 4.72697 + 8.18735i 0.240596 + 0.416725i
\(387\) −6.74810 + 3.89602i −0.343025 + 0.198046i
\(388\) −13.5966 13.5966i −0.690261 0.690261i
\(389\) −4.97819 + 2.87416i −0.252404 + 0.145726i −0.620865 0.783918i \(-0.713218\pi\)
0.368460 + 0.929643i \(0.379885\pi\)
\(390\) −1.84830 + 4.50419i −0.0935925 + 0.228079i
\(391\) 1.37677i 0.0696262i
\(392\) −2.07053 + 6.68677i −0.104578 + 0.337733i
\(393\) −6.00988 + 10.4094i −0.303158 + 0.525086i
\(394\) 11.5430i 0.581526i
\(395\) −8.16367 2.18745i −0.410759 0.110062i
\(396\) −2.57289 + 0.689405i −0.129293 + 0.0346439i
\(397\) 11.1373 + 11.1373i 0.558963 + 0.558963i 0.929012 0.370049i \(-0.120659\pi\)
−0.370049 + 0.929012i \(0.620659\pi\)
\(398\) −1.59375 1.59375i −0.0798877 0.0798877i
\(399\) 9.43660 15.6417i 0.472421 0.783064i
\(400\) 2.75103 + 1.58831i 0.137551 + 0.0794154i
\(401\) −18.4605 4.94647i −0.921872 0.247015i −0.233487 0.972360i \(-0.575013\pi\)
−0.688385 + 0.725345i \(0.741680\pi\)
\(402\) 5.17908 + 8.97043i 0.258309 + 0.447405i
\(403\) −1.25048 0.952983i −0.0622907 0.0474715i
\(404\) −2.71061 1.56497i −0.134858 0.0778603i
\(405\) −0.349490 1.30432i −0.0173663 0.0648120i
\(406\) 8.41189 13.9432i 0.417475 0.691989i
\(407\) 6.35079 3.66663i 0.314797 0.181748i
\(408\) 5.06662 1.35760i 0.250835 0.0672111i
\(409\) 4.63971 + 17.3156i 0.229419 + 0.856203i 0.980586 + 0.196091i \(0.0628248\pi\)
−0.751167 + 0.660113i \(0.770509\pi\)
\(410\) 3.80272 + 14.1919i 0.187803 + 0.700890i
\(411\) 3.08976 0.827900i 0.152407 0.0408373i
\(412\) 9.22505 5.32608i 0.454485 0.262397i
\(413\) 11.0126 + 19.9513i 0.541895 + 0.981742i
\(414\) −0.0679332 0.253530i −0.00333874 0.0124603i
\(415\) 15.4171 + 8.90106i 0.756795 + 0.436936i
\(416\) −3.57624 0.458817i −0.175340 0.0224953i
\(417\) −3.02473 5.23898i −0.148122 0.256554i
\(418\) −17.7647 4.76005i −0.868902 0.232821i
\(419\) −4.94418 2.85452i −0.241539 0.139452i 0.374345 0.927290i \(-0.377868\pi\)
−0.615884 + 0.787837i \(0.711201\pi\)
\(420\) −0.0687394 + 3.57197i −0.00335414 + 0.174294i
\(421\) 11.2327 + 11.2327i 0.547449 + 0.547449i 0.925702 0.378253i \(-0.123475\pi\)
−0.378253 + 0.925702i \(0.623475\pi\)
\(422\) −15.8377 15.8377i −0.770968 0.770968i
\(423\) 5.55179 1.48760i 0.269937 0.0723295i
\(424\) 1.69662 + 0.454609i 0.0823954 + 0.0220778i
\(425\) 16.6625i 0.808249i
\(426\) −2.09446 + 3.62770i −0.101477 + 0.175763i
\(427\) −22.6020 + 5.59238i −1.09379 + 0.270634i
\(428\) 9.01487i 0.435750i
\(429\) −3.70454 8.86071i −0.178857 0.427799i
\(430\) 9.11215 5.26090i 0.439427 0.253703i
\(431\) −12.7774 12.7774i −0.615467 0.615467i 0.328898 0.944365i \(-0.393323\pi\)
−0.944365 + 0.328898i \(0.893323\pi\)
\(432\) 0.866025 0.500000i 0.0416667 0.0240563i
\(433\) −8.06894 13.9758i −0.387768 0.671635i 0.604381 0.796696i \(-0.293421\pi\)
−0.992149 + 0.125061i \(0.960087\pi\)
\(434\) −1.10843 0.319983i −0.0532063 0.0153597i
\(435\) 2.15105 8.02783i 0.103135 0.384905i
\(436\) −8.82668 + 8.82668i −0.422721 + 0.422721i
\(437\) 0.469050 1.75052i 0.0224377 0.0837387i
\(438\) −2.52080 + 4.36615i −0.120448 + 0.208623i
\(439\) −5.21668 9.03556i −0.248979 0.431244i 0.714264 0.699876i \(-0.246762\pi\)
−0.963243 + 0.268633i \(0.913428\pi\)
\(440\) 3.47425 0.930922i 0.165628 0.0443800i
\(441\) 6.19235 3.26417i 0.294874 0.155437i
\(442\) 7.29510 + 17.4488i 0.346992 + 0.829954i
\(443\) 0.835906 1.44783i 0.0397151 0.0687885i −0.845485 0.534000i \(-0.820688\pi\)
0.885200 + 0.465211i \(0.154022\pi\)
\(444\) −1.94672 + 1.94672i −0.0923874 + 0.0923874i
\(445\) 8.37786 0.397149
\(446\) −17.4840 −0.827893
\(447\) 1.94298 1.94298i 0.0918996 0.0918996i
\(448\) −2.56830 + 0.635473i −0.121341 + 0.0300233i
\(449\) −0.795385 0.213123i −0.0375366 0.0100579i 0.240002 0.970772i \(-0.422852\pi\)
−0.277538 + 0.960715i \(0.589519\pi\)
\(450\) −0.822169 3.06837i −0.0387574 0.144645i
\(451\) −25.0997 14.4913i −1.18190 0.682368i
\(452\) 0.0773618i 0.00363879i
\(453\) 3.25321 12.1411i 0.152849 0.570441i
\(454\) −24.8508 −1.16631
\(455\) −12.7963 + 1.47756i −0.599899 + 0.0692691i
\(456\) 6.90457 0.323336
\(457\) 4.15023 15.4889i 0.194139 0.724538i −0.798349 0.602196i \(-0.794293\pi\)
0.992488 0.122342i \(-0.0390406\pi\)
\(458\) 1.16836i 0.0545938i
\(459\) −4.54261 2.62268i −0.212031 0.122416i
\(460\) 0.0917321 + 0.342349i 0.00427703 + 0.0159621i
\(461\) −14.6637 3.92914i −0.682959 0.182998i −0.0993736 0.995050i \(-0.531684\pi\)
−0.583585 + 0.812052i \(0.698351\pi\)
\(462\) −4.88644 5.07820i −0.227338 0.236259i
\(463\) −2.81768 + 2.81768i −0.130948 + 0.130948i −0.769543 0.638595i \(-0.779516\pi\)
0.638595 + 0.769543i \(0.279516\pi\)
\(464\) 6.15482 0.285730
\(465\) −0.588817 −0.0273057
\(466\) −8.20773 + 8.20773i −0.380216 + 0.380216i
\(467\) 2.28797 3.96288i 0.105875 0.183380i −0.808221 0.588880i \(-0.799569\pi\)
0.914095 + 0.405500i \(0.132902\pi\)
\(468\) 2.20435 + 2.85322i 0.101896 + 0.131890i
\(469\) −14.1567 + 23.4655i −0.653695 + 1.08354i
\(470\) −7.49674 + 2.00874i −0.345799 + 0.0926565i
\(471\) −2.64969 4.58939i −0.122091 0.211468i
\(472\) −4.30670 + 7.45942i −0.198232 + 0.343348i
\(473\) −5.37187 + 20.0481i −0.246999 + 0.921811i
\(474\) −4.42575 + 4.42575i −0.203282 + 0.203282i
\(475\) 5.67672 21.1858i 0.260466 0.972072i
\(476\) 9.62253 + 10.0002i 0.441048 + 0.458356i
\(477\) −0.878238 1.52115i −0.0402117 0.0696488i
\(478\) 22.5226 13.0034i 1.03016 0.594762i
\(479\) 28.9967 + 28.9967i 1.32489 + 1.32489i 0.909763 + 0.415128i \(0.136263\pi\)
0.415128 + 0.909763i \(0.363737\pi\)
\(480\) −1.16942 + 0.675164i −0.0533764 + 0.0308169i
\(481\) −7.89503 6.01677i −0.359982 0.274341i
\(482\) 29.7721i 1.35608i
\(483\) 0.500401 0.481505i 0.0227690 0.0219092i
\(484\) 1.95247 3.38178i 0.0887486 0.153717i
\(485\) 25.9647i 1.17900i
\(486\) −0.965926 0.258819i −0.0438153 0.0117403i
\(487\) 17.7086 4.74502i 0.802456 0.215017i 0.165794 0.986160i \(-0.446981\pi\)
0.636662 + 0.771143i \(0.280315\pi\)
\(488\) −6.22279 6.22279i −0.281692 0.281692i
\(489\) −17.4577 17.4577i −0.789464 0.789464i
\(490\) −8.36170 + 4.40770i −0.377743 + 0.199120i
\(491\) −20.5605 11.8706i −0.927883 0.535713i −0.0417413 0.999128i \(-0.513291\pi\)
−0.886141 + 0.463415i \(0.846624\pi\)
\(492\) 10.5100 + 2.81615i 0.473828 + 0.126962i
\(493\) −16.1421 27.9590i −0.727004 1.25921i
\(494\) 3.33088 + 24.6710i 0.149863 + 1.11000i
\(495\) −3.11493 1.79840i −0.140006 0.0808322i
\(496\) −0.112859 0.421196i −0.00506753 0.0189123i
\(497\) −11.0808 0.213240i −0.497040 0.00956511i
\(498\) 11.4173 6.59178i 0.511621 0.295385i
\(499\) −33.5632 + 8.99324i −1.50250 + 0.402593i −0.913935 0.405859i \(-0.866972\pi\)
−0.588562 + 0.808452i \(0.700306\pi\)
\(500\) 2.85765 + 10.6649i 0.127798 + 0.476948i
\(501\) 6.32787 + 23.6159i 0.282708 + 1.05508i
\(502\) 2.12114 0.568359i 0.0946713 0.0253671i
\(503\) −12.5876 + 7.26748i −0.561256 + 0.324041i −0.753649 0.657277i \(-0.771708\pi\)
0.192394 + 0.981318i \(0.438375\pi\)
\(504\) 2.26541 + 1.36672i 0.100909 + 0.0608784i
\(505\) −1.09389 4.08244i −0.0486773 0.181666i
\(506\) −0.605473 0.349570i −0.0269166 0.0155403i
\(507\) −9.13150 + 9.25287i −0.405544 + 0.410935i
\(508\) −7.14308 12.3722i −0.316923 0.548927i
\(509\) 29.8531 + 7.99912i 1.32322 + 0.354555i 0.850182 0.526489i \(-0.176492\pi\)
0.473034 + 0.881044i \(0.343159\pi\)
\(510\) 6.13401 + 3.54147i 0.271619 + 0.156819i
\(511\) −13.3363 0.256646i −0.589965 0.0113534i
\(512\) −0.707107 0.707107i −0.0312500 0.0312500i
\(513\) −4.88227 4.88227i −0.215558 0.215558i
\(514\) 9.05649 2.42668i 0.399465 0.107036i
\(515\) 13.8938 + 3.72283i 0.612234 + 0.164048i
\(516\) 7.79203i 0.343025i
\(517\) 7.65486 13.2586i 0.336660 0.583113i
\(518\) −6.99820 2.02025i −0.307483 0.0887649i
\(519\) 0.338105i 0.0148412i
\(520\) −2.97660 3.85278i −0.130532 0.168955i
\(521\) 37.8760 21.8677i 1.65938 0.958042i 0.686375 0.727247i \(-0.259201\pi\)
0.973002 0.230795i \(-0.0741326\pi\)
\(522\) −4.35211 4.35211i −0.190487 0.190487i
\(523\) −12.3991 + 7.15860i −0.542173 + 0.313024i −0.745959 0.665992i \(-0.768009\pi\)
0.203786 + 0.979015i \(0.434675\pi\)
\(524\) −6.00988 10.4094i −0.262543 0.454738i
\(525\) 6.05615 5.82746i 0.264312 0.254331i
\(526\) −6.39836 + 23.8790i −0.278982 + 1.04117i
\(527\) −1.61734 + 1.61734i −0.0704523 + 0.0704523i
\(528\) 0.689405 2.57289i 0.0300025 0.111971i
\(529\) −11.4656 + 19.8589i −0.498502 + 0.863431i
\(530\) 1.18591 + 2.05405i 0.0515126 + 0.0892224i
\(531\) 8.31990 2.22931i 0.361053 0.0967438i
\(532\) 8.82781 + 15.9932i 0.382734 + 0.693392i
\(533\) −4.99227 + 38.9122i −0.216239 + 1.68547i
\(534\) 3.10216 5.37310i 0.134244 0.232517i
\(535\) −8.60763 + 8.60763i −0.372140 + 0.372140i
\(536\) −10.3582 −0.447405
\(537\) −5.55247 −0.239607
\(538\) 13.6013 13.6013i 0.586395 0.586395i
\(539\) 5.51519 17.8113i 0.237556 0.767185i
\(540\) 1.30432 + 0.349490i 0.0561288 + 0.0150397i
\(541\) 3.55396 + 13.2636i 0.152797 + 0.570246i 0.999284 + 0.0378365i \(0.0120466\pi\)
−0.846487 + 0.532409i \(0.821287\pi\)
\(542\) −0.753994 0.435319i −0.0323868 0.0186985i
\(543\) 8.08476i 0.346950i
\(544\) −1.35760 + 5.06662i −0.0582065 + 0.217230i
\(545\) −16.8559 −0.722026
\(546\) −3.79059 + 8.75394i −0.162222 + 0.374634i
\(547\) −12.5282 −0.535667 −0.267833 0.963465i \(-0.586308\pi\)
−0.267833 + 0.963465i \(0.586308\pi\)
\(548\) −0.827900 + 3.08976i −0.0353661 + 0.131988i
\(549\) 8.80035i 0.375590i
\(550\) −7.32780 4.23070i −0.312458 0.180398i
\(551\) −10.9989 41.0484i −0.468568 1.74872i
\(552\) 0.253530 + 0.0679332i 0.0107910 + 0.00289143i
\(553\) −15.9100 4.59292i −0.676561 0.195311i
\(554\) −14.9899 + 14.9899i −0.636859 + 0.636859i
\(555\) −3.71756 −0.157802
\(556\) 6.04946 0.256554
\(557\) 7.74765 7.74765i 0.328278 0.328278i −0.523653 0.851932i \(-0.675431\pi\)
0.851932 + 0.523653i \(0.175431\pi\)
\(558\) −0.218027 + 0.377634i −0.00922983 + 0.0159865i
\(559\) 27.8420 3.75900i 1.17759 0.158989i
\(560\) −3.05905 1.84551i −0.129268 0.0779872i
\(561\) −13.4957 + 3.61617i −0.569791 + 0.152675i
\(562\) 14.6979 + 25.4575i 0.619993 + 1.07386i
\(563\) 5.68473 9.84623i 0.239583 0.414969i −0.721012 0.692923i \(-0.756323\pi\)
0.960595 + 0.277953i \(0.0896561\pi\)
\(564\) −1.48760 + 5.55179i −0.0626392 + 0.233773i
\(565\) −0.0738670 + 0.0738670i −0.00310761 + 0.00310761i
\(566\) −3.67072 + 13.6993i −0.154292 + 0.575824i
\(567\) −0.635473 2.56830i −0.0266874 0.107859i
\(568\) −2.09446 3.62770i −0.0878814 0.152215i
\(569\) 8.33716 4.81346i 0.349512 0.201791i −0.314958 0.949105i \(-0.601991\pi\)
0.664470 + 0.747315i \(0.268657\pi\)
\(570\) 6.59267 + 6.59267i 0.276136 + 0.276136i
\(571\) −9.45507 + 5.45889i −0.395682 + 0.228447i −0.684619 0.728901i \(-0.740032\pi\)
0.288937 + 0.957348i \(0.406698\pi\)
\(572\) 9.52587 + 1.22213i 0.398297 + 0.0510998i
\(573\) 13.3692i 0.558506i
\(574\) 6.91442 + 27.9451i 0.288603 + 1.16640i
\(575\) 0.416889 0.722073i 0.0173855 0.0301125i
\(576\) 1.00000i 0.0416667i
\(577\) 25.9466 + 6.95237i 1.08017 + 0.289431i 0.754666 0.656110i \(-0.227799\pi\)
0.325505 + 0.945540i \(0.394466\pi\)
\(578\) 10.1555 2.72116i 0.422413 0.113185i
\(579\) 6.68495 + 6.68495i 0.277817 + 0.277817i
\(580\) 5.87678 + 5.87678i 0.244020 + 0.244020i
\(581\) 29.8662 + 18.0182i 1.23906 + 0.747520i
\(582\) −16.6523 9.61423i −0.690261 0.398523i
\(583\) −4.51922 1.21092i −0.187167 0.0501513i
\(584\) −2.52080 4.36615i −0.104311 0.180673i
\(585\) −0.619553 + 4.82909i −0.0256154 + 0.199658i
\(586\) −2.78682 1.60897i −0.115122 0.0664659i
\(587\) −7.51437 28.0440i −0.310151 1.15750i −0.928420 0.371533i \(-0.878832\pi\)
0.618269 0.785967i \(-0.287834\pi\)
\(588\) −0.269318 + 6.99482i −0.0111065 + 0.288461i
\(589\) −2.60740 + 1.50539i −0.107436 + 0.0620283i
\(590\) −11.2346 + 3.01030i −0.462521 + 0.123932i
\(591\) 2.98754 + 11.1496i 0.122891 + 0.458635i
\(592\) −0.712550 2.65927i −0.0292856 0.109295i
\(593\) −5.76620 + 1.54505i −0.236789 + 0.0634475i −0.375262 0.926919i \(-0.622447\pi\)
0.138473 + 0.990366i \(0.455781\pi\)
\(594\) −2.30679 + 1.33183i −0.0946489 + 0.0546456i
\(595\) −0.360563 + 18.7362i −0.0147816 + 0.768111i
\(596\) 0.711179 + 2.65415i 0.0291310 + 0.108718i
\(597\) −1.95194 1.12695i −0.0798877 0.0461232i
\(598\) −0.120427 + 0.938669i −0.00492464 + 0.0383850i
\(599\) −11.9476 20.6938i −0.488165 0.845527i 0.511742 0.859139i \(-0.329000\pi\)
−0.999907 + 0.0136121i \(0.995667\pi\)
\(600\) 3.06837 + 0.822169i 0.125266 + 0.0335649i
\(601\) −31.4273 18.1445i −1.28194 0.740131i −0.304741 0.952435i \(-0.598570\pi\)
−0.977204 + 0.212304i \(0.931903\pi\)
\(602\) 18.0488 9.96247i 0.735615 0.406040i
\(603\) 7.32433 + 7.32433i 0.298270 + 0.298270i
\(604\) 8.88793 + 8.88793i 0.361645 + 0.361645i
\(605\) 5.09328 1.36474i 0.207071 0.0554845i
\(606\) −3.02330 0.810090i −0.122813 0.0329076i
\(607\) 0.0450188i 0.00182726i −1.00000 0.000913628i \(-0.999709\pi\)
1.00000 0.000913628i \(-0.000290817\pi\)
\(608\) −3.45229 + 5.97954i −0.140009 + 0.242502i
\(609\) 4.51650 15.6453i 0.183018 0.633978i
\(610\) 11.8834i 0.481143i
\(611\) −20.5549 2.63711i −0.831563 0.106686i
\(612\) 4.54261 2.62268i 0.183624 0.106015i
\(613\) 6.37696 + 6.37696i 0.257563 + 0.257563i 0.824062 0.566499i \(-0.191703\pi\)
−0.566499 + 0.824062i \(0.691703\pi\)
\(614\) −8.20543 + 4.73740i −0.331144 + 0.191186i
\(615\) 7.34629 + 12.7242i 0.296231 + 0.513087i
\(616\) 6.84107 1.69268i 0.275635 0.0682001i
\(617\) −11.2249 + 41.8918i −0.451897 + 1.68650i 0.245157 + 0.969483i \(0.421161\pi\)
−0.697054 + 0.717019i \(0.745506\pi\)
\(618\) 7.53222 7.53222i 0.302990 0.302990i
\(619\) 5.32358 19.8679i 0.213973 0.798557i −0.772553 0.634950i \(-0.781021\pi\)
0.986526 0.163607i \(-0.0523127\pi\)
\(620\) 0.294408 0.509930i 0.0118237 0.0204793i
\(621\) −0.131237 0.227309i −0.00526636 0.00912160i
\(622\) −31.3571 + 8.40211i −1.25731 + 0.336894i
\(623\) 16.4120 + 0.315835i 0.657534 + 0.0126537i
\(624\) −3.57313 + 0.482416i −0.143040 + 0.0193121i
\(625\) 0.486981 0.843477i 0.0194793 0.0337391i
\(626\) −14.4451 + 14.4451i −0.577344 + 0.577344i
\(627\) −18.3914 −0.734482
\(628\) 5.29937 0.211468
\(629\) −10.2113 + 10.2113i −0.407149 + 0.407149i
\(630\) 0.858097 + 3.46805i 0.0341874 + 0.138170i
\(631\) 4.76385 + 1.27647i 0.189646 + 0.0508154i 0.352392 0.935853i \(-0.385368\pi\)
−0.162746 + 0.986668i \(0.552035\pi\)
\(632\) −1.61994 6.04569i −0.0644377 0.240485i
\(633\) −19.3972 11.1990i −0.770968 0.445119i
\(634\) 3.64856i 0.144903i
\(635\) 4.99288 18.6337i 0.198136 0.739455i
\(636\) 1.75648 0.0696488
\(637\) −25.1233 + 2.41210i −0.995423 + 0.0955709i
\(638\) −16.3943 −0.649057
\(639\) −1.08417 + 4.04618i −0.0428891 + 0.160064i
\(640\) 1.35033i 0.0533764i
\(641\) 35.8194 + 20.6804i 1.41478 + 0.816825i 0.995834 0.0911847i \(-0.0290654\pi\)
0.418949 + 0.908010i \(0.362399\pi\)
\(642\) 2.33322 + 8.70769i 0.0920848 + 0.343665i
\(643\) 9.73707 + 2.60904i 0.383992 + 0.102890i 0.445651 0.895207i \(-0.352972\pi\)
−0.0616584 + 0.998097i \(0.519639\pi\)
\(644\) 0.166795 + 0.674112i 0.00657264 + 0.0265637i
\(645\) 7.44004 7.44004i 0.292951 0.292951i
\(646\) 36.2169 1.42494
\(647\) 16.6909 0.656186 0.328093 0.944645i \(-0.393594\pi\)
0.328093 + 0.944645i \(0.393594\pi\)
\(648\) 0.707107 0.707107i 0.0277778 0.0277778i
\(649\) 11.4716 19.8693i 0.450298 0.779939i
\(650\) −1.45748 + 11.3603i −0.0571672 + 0.445589i
\(651\) −1.15348 0.0221977i −0.0452084 0.000869996i
\(652\) 23.8476 6.38996i 0.933946 0.250250i
\(653\) 13.4815 + 23.3506i 0.527571 + 0.913779i 0.999484 + 0.0321340i \(0.0102303\pi\)
−0.471913 + 0.881645i \(0.656436\pi\)
\(654\) −6.24140 + 10.8104i −0.244058 + 0.422721i
\(655\) 4.20079 15.6776i 0.164139 0.612573i
\(656\) −7.69386 + 7.69386i −0.300395 + 0.300395i
\(657\) −1.30486 + 4.86981i −0.0509075 + 0.189989i
\(658\) −14.7617 + 3.65247i −0.575470 + 0.142388i
\(659\) −14.7018 25.4643i −0.572702 0.991950i −0.996287 0.0860931i \(-0.972562\pi\)
0.423585 0.905856i \(-0.360772\pi\)
\(660\) 3.11493 1.79840i 0.121248 0.0700028i
\(661\) −26.0540 26.0540i −1.01338 1.01338i −0.999909 0.0134757i \(-0.995710\pi\)
−0.0134757 0.999909i \(-0.504290\pi\)
\(662\) −1.95986 + 1.13153i −0.0761723 + 0.0439781i
\(663\) 11.5626 + 14.9661i 0.449054 + 0.581236i
\(664\) 13.1836i 0.511621i
\(665\) −6.84168 + 23.6997i −0.265309 + 0.919036i
\(666\) −1.37654 + 2.38424i −0.0533399 + 0.0923874i
\(667\) 1.61548i 0.0625516i
\(668\) −23.6159 6.32787i −0.913727 0.244832i
\(669\) −16.8883 + 4.52520i −0.652939 + 0.174954i
\(670\) −9.89024 9.89024i −0.382093 0.382093i
\(671\) 16.5754 + 16.5754i 0.639885 + 0.639885i
\(672\) −2.31632 + 1.27855i −0.0893539 + 0.0493209i
\(673\) −8.61642 4.97469i −0.332138 0.191760i 0.324652 0.945834i \(-0.394753\pi\)
−0.656790 + 0.754073i \(0.728086\pi\)
\(674\) −17.2438 4.62046i −0.664207 0.177974i
\(675\) −1.58831 2.75103i −0.0611340 0.105887i
\(676\) −3.44747 12.5345i −0.132595 0.482098i
\(677\) −0.655682 0.378558i −0.0251999 0.0145492i 0.487347 0.873208i \(-0.337965\pi\)
−0.512547 + 0.858659i \(0.671298\pi\)
\(678\) 0.0200227 + 0.0747257i 0.000768967 + 0.00286982i
\(679\) 0.978839 50.8643i 0.0375644 1.95199i
\(680\) −6.13401 + 3.54147i −0.235229 + 0.135809i
\(681\) −24.0041 + 6.43187i −0.919838 + 0.246470i
\(682\) 0.300618 + 1.12192i 0.0115113 + 0.0429606i
\(683\) 0.582225 + 2.17289i 0.0222782 + 0.0831434i 0.976170 0.217008i \(-0.0696296\pi\)
−0.953892 + 0.300151i \(0.902963\pi\)
\(684\) 6.66931 1.78704i 0.255007 0.0683290i
\(685\) −3.74069 + 2.15969i −0.142924 + 0.0825174i
\(686\) −16.5465 + 8.31936i −0.631750 + 0.317635i
\(687\) 0.302393 + 1.12855i 0.0115370 + 0.0430567i
\(688\) 6.74810 + 3.89602i 0.257269 + 0.148534i
\(689\) 0.847351 + 6.27612i 0.0322815 + 0.239101i
\(690\) 0.177213 + 0.306942i 0.00674638 + 0.0116851i
\(691\) 20.6220 + 5.52566i 0.784499 + 0.210206i 0.628767 0.777594i \(-0.283560\pi\)
0.155732 + 0.987799i \(0.450226\pi\)
\(692\) −0.292808 0.169053i −0.0111309 0.00642642i
\(693\) −6.03427 3.64046i −0.229223 0.138290i
\(694\) −11.0995 11.0995i −0.421332 0.421332i
\(695\) 5.77618 + 5.77618i 0.219103 + 0.219103i
\(696\) 5.94510 1.59298i 0.225348 0.0603819i
\(697\) 55.1287 + 14.7717i 2.08815 + 0.559518i
\(698\) 29.8964i 1.13160i
\(699\) −5.80374 + 10.0524i −0.219518 + 0.380216i
\(700\) 2.01865 + 8.15851i 0.0762979 + 0.308363i
\(701\) 5.56664i 0.210249i −0.994459 0.105124i \(-0.966476\pi\)
0.994459 0.105124i \(-0.0335241\pi\)
\(702\) 2.86771 + 2.18547i 0.108235 + 0.0824851i
\(703\) −16.4622 + 9.50443i −0.620882 + 0.358466i
\(704\) 1.88349 + 1.88349i 0.0709867 + 0.0709867i
\(705\) −6.72139 + 3.88060i −0.253142 + 0.146152i
\(706\) −13.4412 23.2809i −0.505866 0.876186i
\(707\) −1.98900 8.03864i −0.0748039 0.302324i
\(708\) −2.22931 + 8.31990i −0.0837826 + 0.312681i
\(709\) −26.1210 + 26.1210i −0.980997 + 0.980997i −0.999823 0.0188262i \(-0.994007\pi\)
0.0188262 + 0.999823i \(0.494007\pi\)
\(710\) 1.46399 5.46367i 0.0549424 0.205048i
\(711\) −3.12948 + 5.42042i −0.117365 + 0.203282i
\(712\) 3.10216 + 5.37310i 0.116258 + 0.201365i
\(713\) −0.110553 + 0.0296226i −0.00414024 + 0.00110938i
\(714\) 11.8829 + 7.16891i 0.444706 + 0.268290i
\(715\) 7.92862 + 10.2625i 0.296514 + 0.383794i
\(716\) 2.77624 4.80858i 0.103753 0.179705i
\(717\) 18.3896 18.3896i 0.686772 0.686772i
\(718\) 30.6785 1.14491
\(719\) 27.1960 1.01424 0.507120 0.861876i \(-0.330710\pi\)
0.507120 + 0.861876i \(0.330710\pi\)
\(720\) −0.954826 + 0.954826i −0.0355843 + 0.0355843i
\(721\) 27.0773 + 7.81672i 1.00841 + 0.291110i
\(722\) 27.6961 + 7.42116i 1.03074 + 0.276187i
\(723\) −7.70558 28.7576i −0.286574 1.06951i
\(724\) −7.00160 4.04238i −0.260213 0.150234i
\(725\) 19.5515i 0.726124i
\(726\) 1.01067 3.77188i 0.0375096 0.139988i
\(727\) 23.9303 0.887524 0.443762 0.896145i \(-0.353644\pi\)
0.443762 + 0.896145i \(0.353644\pi\)
\(728\) −5.68584 7.65972i −0.210731 0.283888i
\(729\) −1.00000 −0.0370370
\(730\) 1.76199 6.57584i 0.0652142 0.243383i
\(731\) 40.8720i 1.51171i
\(732\) −7.62133 4.40017i −0.281692 0.162635i
\(733\) 3.70012 + 13.8090i 0.136667 + 0.510049i 0.999985 + 0.00538890i \(0.00171535\pi\)
−0.863318 + 0.504660i \(0.831618\pi\)
\(734\) 14.5408 + 3.89619i 0.536710 + 0.143811i
\(735\) −6.93598 + 6.42168i −0.255838 + 0.236867i
\(736\) −0.185597 + 0.185597i −0.00684120 + 0.00684120i
\(737\) 27.5906 1.01631
\(738\) 10.8808 0.400526
\(739\) 18.9855 18.9855i 0.698395 0.698395i −0.265670 0.964064i \(-0.585593\pi\)
0.964064 + 0.265670i \(0.0855930\pi\)
\(740\) 1.85878 3.21950i 0.0683302 0.118351i
\(741\) 9.60269 + 22.9682i 0.352764 + 0.843759i
\(742\) 2.24573 + 4.06855i 0.0824434 + 0.149361i
\(743\) −4.31189 + 1.15537i −0.158188 + 0.0423863i −0.337044 0.941489i \(-0.609427\pi\)
0.178856 + 0.983875i \(0.442760\pi\)
\(744\) −0.218027 0.377634i −0.00799327 0.0138447i
\(745\) −1.85520 + 3.21331i −0.0679694 + 0.117726i
\(746\) −2.75236 + 10.2719i −0.100771 + 0.376082i
\(747\) 9.32218 9.32218i 0.341081 0.341081i
\(748\) 3.61617 13.4957i 0.132220 0.493453i
\(749\) −17.1867 + 16.5377i −0.627987 + 0.604273i
\(750\) 5.52055 + 9.56188i 0.201582 + 0.349151i
\(751\) 34.7923 20.0874i 1.26959 0.732999i 0.294680 0.955596i \(-0.404787\pi\)
0.974910 + 0.222597i \(0.0714535\pi\)
\(752\) −4.06419 4.06419i −0.148206 0.148206i
\(753\) 1.90177 1.09799i 0.0693042 0.0400128i
\(754\) 8.55995 + 20.4741i 0.311735 + 0.745624i
\(755\) 16.9729i 0.617705i
\(756\) 2.54195 + 0.733815i 0.0924499 + 0.0266886i
\(757\) −22.8181 + 39.5220i −0.829336 + 1.43645i 0.0692231 + 0.997601i \(0.477948\pi\)
−0.898560 + 0.438852i \(0.855385\pi\)
\(758\) 1.44541i 0.0524995i
\(759\) −0.675317 0.180951i −0.0245125 0.00656810i
\(760\) −9.00575 + 2.41308i −0.326673 + 0.0875317i
\(761\) 31.4981 + 31.4981i 1.14180 + 1.14180i 0.988120 + 0.153685i \(0.0491141\pi\)
0.153685 + 0.988120i \(0.450886\pi\)
\(762\) −10.1018 10.1018i −0.365951 0.365951i
\(763\) −33.0203 0.635447i −1.19541 0.0230047i
\(764\) 11.5781 + 6.68460i 0.418880 + 0.241840i
\(765\) 6.84160 + 1.83320i 0.247359 + 0.0662795i
\(766\) −13.0378 22.5821i −0.471075 0.815926i
\(767\) −30.8036 3.95197i −1.11225 0.142697i
\(768\) −0.866025 0.500000i −0.0312500 0.0180422i
\(769\) −3.66323 13.6714i −0.132099 0.493002i 0.867894 0.496750i \(-0.165474\pi\)
−0.999993 + 0.00374840i \(0.998807\pi\)
\(770\) 8.14825 + 4.91582i 0.293642 + 0.177154i
\(771\) 8.11982 4.68798i 0.292428 0.168834i
\(772\) −9.13181 + 2.44686i −0.328661 + 0.0880644i
\(773\) −9.54074 35.6065i −0.343157 1.28068i −0.894751 0.446566i \(-0.852647\pi\)
0.551594 0.834113i \(-0.314020\pi\)