Properties

Label 585.2.bt.b.376.16
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.16
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.16

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.16682 - 0.673666i) q^{2} +(0.619932 - 1.61731i) q^{3} +(-0.0923480 - 0.159951i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.81288 + 1.46949i) q^{6} +(-4.07352 - 2.35185i) q^{7} +2.94351i q^{8} +(-2.23137 - 2.00524i) q^{9} +O(q^{10})\) \(q+(-1.16682 - 0.673666i) q^{2} +(0.619932 - 1.61731i) q^{3} +(-0.0923480 - 0.159951i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-1.81288 + 1.46949i) q^{6} +(-4.07352 - 2.35185i) q^{7} +2.94351i q^{8} +(-2.23137 - 2.00524i) q^{9} -1.34733 q^{10} +(-1.11056 - 0.641180i) q^{11} +(-0.315940 + 0.0501961i) q^{12} +(0.382510 + 3.58520i) q^{13} +(3.16872 + 5.48839i) q^{14} +(-0.271777 - 1.71060i) q^{15} +(1.79825 - 3.11466i) q^{16} -0.689981 q^{17} +(1.25275 + 3.84296i) q^{18} +6.46642i q^{19} +(-0.159951 - 0.0923480i) q^{20} +(-6.32897 + 5.13015i) q^{21} +(0.863882 + 1.49629i) q^{22} +(-2.10450 - 3.64510i) q^{23} +(4.76056 + 1.82478i) q^{24} +(0.500000 - 0.866025i) q^{25} +(1.96891 - 4.44099i) q^{26} +(-4.62639 + 2.36569i) q^{27} +0.868754i q^{28} +(2.78420 - 4.82237i) q^{29} +(-0.835255 + 2.17905i) q^{30} +(-0.646732 + 0.373391i) q^{31} +(0.901834 - 0.520674i) q^{32} +(-1.72545 + 1.39862i) q^{33} +(0.805086 + 0.464817i) q^{34} -4.70370 q^{35} +(-0.114679 + 0.542091i) q^{36} -8.06746i q^{37} +(4.35621 - 7.54517i) q^{38} +(6.03551 + 1.60395i) q^{39} +(1.47176 + 2.54916i) q^{40} +(6.39700 - 3.69331i) q^{41} +(10.8408 - 1.72237i) q^{42} +(-5.42456 + 9.39562i) q^{43} +0.236847i q^{44} +(-2.93504 - 0.620907i) q^{45} +5.67092i q^{46} +(-6.50187 - 3.75385i) q^{47} +(-3.92257 - 4.83920i) q^{48} +(7.56239 + 13.0984i) q^{49} +(-1.16682 + 0.673666i) q^{50} +(-0.427741 + 1.11591i) q^{51} +(0.538134 - 0.392269i) q^{52} -5.44121 q^{53} +(6.99187 + 0.356295i) q^{54} -1.28236 q^{55} +(6.92270 - 11.9905i) q^{56} +(10.4582 + 4.00874i) q^{57} +(-6.49733 + 3.75124i) q^{58} +(0.357947 - 0.206661i) q^{59} +(-0.248514 + 0.201441i) q^{60} +(-2.91595 + 5.05058i) q^{61} +1.00616 q^{62} +(4.37350 + 13.4162i) q^{63} -8.59603 q^{64} +(2.12387 + 2.91362i) q^{65} +(2.95551 - 0.469566i) q^{66} +(-9.45733 + 5.46019i) q^{67} +(0.0637184 + 0.110363i) q^{68} +(-7.19989 + 1.14391i) q^{69} +(5.48839 + 3.16872i) q^{70} +5.80266i q^{71} +(5.90245 - 6.56806i) q^{72} -9.51919i q^{73} +(-5.43478 + 9.41331i) q^{74} +(-1.09066 - 1.34553i) q^{75} +(1.03431 - 0.597161i) q^{76} +(3.01592 + 5.22372i) q^{77} +(-5.96185 - 5.93744i) q^{78} +(-2.41946 + 4.19062i) q^{79} -3.59650i q^{80} +(0.958005 + 8.94887i) q^{81} -9.95222 q^{82} +(-2.46941 - 1.42572i) q^{83} +(1.40504 + 0.538569i) q^{84} +(-0.597541 + 0.344990i) q^{85} +(12.6590 - 7.30869i) q^{86} +(-6.07324 - 7.49245i) q^{87} +(1.88732 - 3.26893i) q^{88} -10.7367i q^{89} +(3.00639 + 2.70173i) q^{90} +(6.87370 - 15.5040i) q^{91} +(-0.388693 + 0.673235i) q^{92} +(0.202958 + 1.27744i) q^{93} +(5.05769 + 8.76017i) q^{94} +(3.23321 + 5.60008i) q^{95} +(-0.283014 - 1.78133i) q^{96} +(-1.55060 - 0.895240i) q^{97} -20.3781i q^{98} +(1.19234 + 3.65764i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.16682 0.673666i −0.825069 0.476354i 0.0270923 0.999633i \(-0.491375\pi\)
−0.852161 + 0.523279i \(0.824709\pi\)
\(3\) 0.619932 1.61731i 0.357918 0.933753i
\(4\) −0.0923480 0.159951i −0.0461740 0.0799757i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −1.81288 + 1.46949i −0.740104 + 0.599915i
\(7\) −4.07352 2.35185i −1.53965 0.888916i −0.998859 0.0477566i \(-0.984793\pi\)
−0.540788 0.841159i \(-0.681874\pi\)
\(8\) 2.94351i 1.04069i
\(9\) −2.23137 2.00524i −0.743789 0.668414i
\(10\) −1.34733 −0.426064
\(11\) −1.11056 0.641180i −0.334845 0.193323i 0.323145 0.946349i \(-0.395260\pi\)
−0.657990 + 0.753027i \(0.728593\pi\)
\(12\) −0.315940 + 0.0501961i −0.0912041 + 0.0144904i
\(13\) 0.382510 + 3.58520i 0.106089 + 0.994357i
\(14\) 3.16872 + 5.48839i 0.846877 + 1.46683i
\(15\) −0.271777 1.71060i −0.0701724 0.441674i
\(16\) 1.79825 3.11466i 0.449562 0.778664i
\(17\) −0.689981 −0.167345 −0.0836725 0.996493i \(-0.526665\pi\)
−0.0836725 + 0.996493i \(0.526665\pi\)
\(18\) 1.25275 + 3.84296i 0.295276 + 0.905795i
\(19\) 6.46642i 1.48350i 0.670678 + 0.741749i \(0.266003\pi\)
−0.670678 + 0.741749i \(0.733997\pi\)
\(20\) −0.159951 0.0923480i −0.0357662 0.0206496i
\(21\) −6.32897 + 5.13015i −1.38110 + 1.11949i
\(22\) 0.863882 + 1.49629i 0.184180 + 0.319010i
\(23\) −2.10450 3.64510i −0.438818 0.760056i 0.558780 0.829316i \(-0.311270\pi\)
−0.997599 + 0.0692600i \(0.977936\pi\)
\(24\) 4.76056 + 1.82478i 0.971746 + 0.372481i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 1.96891 4.44099i 0.386135 0.870949i
\(27\) −4.62639 + 2.36569i −0.890349 + 0.455278i
\(28\) 0.868754i 0.164179i
\(29\) 2.78420 4.82237i 0.517012 0.895492i −0.482792 0.875735i \(-0.660377\pi\)
0.999805 0.0197568i \(-0.00628921\pi\)
\(30\) −0.835255 + 2.17905i −0.152496 + 0.397838i
\(31\) −0.646732 + 0.373391i −0.116157 + 0.0670630i −0.556953 0.830544i \(-0.688030\pi\)
0.440796 + 0.897607i \(0.354696\pi\)
\(32\) 0.901834 0.520674i 0.159423 0.0920431i
\(33\) −1.72545 + 1.39862i −0.300363 + 0.243469i
\(34\) 0.805086 + 0.464817i 0.138071 + 0.0797154i
\(35\) −4.70370 −0.795070
\(36\) −0.114679 + 0.542091i −0.0191132 + 0.0903484i
\(37\) 8.06746i 1.32628i −0.748494 0.663141i \(-0.769223\pi\)
0.748494 0.663141i \(-0.230777\pi\)
\(38\) 4.35621 7.54517i 0.706670 1.22399i
\(39\) 6.03551 + 1.60395i 0.966455 + 0.256837i
\(40\) 1.47176 + 2.54916i 0.232705 + 0.403057i
\(41\) 6.39700 3.69331i 0.999043 0.576798i 0.0910779 0.995844i \(-0.470969\pi\)
0.907965 + 0.419046i \(0.137635\pi\)
\(42\) 10.8408 1.72237i 1.67277 0.265767i
\(43\) −5.42456 + 9.39562i −0.827238 + 1.43282i 0.0729590 + 0.997335i \(0.476756\pi\)
−0.900197 + 0.435483i \(0.856578\pi\)
\(44\) 0.236847i 0.0357060i
\(45\) −2.93504 0.620907i −0.437530 0.0925594i
\(46\) 5.67092i 0.836131i
\(47\) −6.50187 3.75385i −0.948394 0.547556i −0.0558127 0.998441i \(-0.517775\pi\)
−0.892582 + 0.450885i \(0.851108\pi\)
\(48\) −3.92257 4.83920i −0.566174 0.698478i
\(49\) 7.56239 + 13.0984i 1.08034 + 1.87121i
\(50\) −1.16682 + 0.673666i −0.165014 + 0.0952708i
\(51\) −0.427741 + 1.11591i −0.0598958 + 0.156259i
\(52\) 0.538134 0.392269i 0.0746258 0.0543980i
\(53\) −5.44121 −0.747407 −0.373704 0.927548i \(-0.621912\pi\)
−0.373704 + 0.927548i \(0.621912\pi\)
\(54\) 6.99187 + 0.356295i 0.951473 + 0.0484856i
\(55\) −1.28236 −0.172913
\(56\) 6.92270 11.9905i 0.925084 1.60229i
\(57\) 10.4582 + 4.00874i 1.38522 + 0.530971i
\(58\) −6.49733 + 3.75124i −0.853142 + 0.492562i
\(59\) 0.357947 0.206661i 0.0466007 0.0269050i −0.476519 0.879164i \(-0.658102\pi\)
0.523119 + 0.852259i \(0.324768\pi\)
\(60\) −0.248514 + 0.201441i −0.0320830 + 0.0260059i
\(61\) −2.91595 + 5.05058i −0.373350 + 0.646661i −0.990079 0.140515i \(-0.955124\pi\)
0.616729 + 0.787176i \(0.288457\pi\)
\(62\) 1.00616 0.127783
\(63\) 4.37350 + 13.4162i 0.551009 + 1.69029i
\(64\) −8.59603 −1.07450
\(65\) 2.12387 + 2.91362i 0.263433 + 0.361390i
\(66\) 2.95551 0.469566i 0.363798 0.0577996i
\(67\) −9.45733 + 5.46019i −1.15540 + 0.667068i −0.950196 0.311652i \(-0.899118\pi\)
−0.205200 + 0.978720i \(0.565784\pi\)
\(68\) 0.0637184 + 0.110363i 0.00772699 + 0.0133835i
\(69\) −7.19989 + 1.14391i −0.866765 + 0.137710i
\(70\) 5.48839 + 3.16872i 0.655988 + 0.378735i
\(71\) 5.80266i 0.688649i 0.938851 + 0.344325i \(0.111892\pi\)
−0.938851 + 0.344325i \(0.888108\pi\)
\(72\) 5.90245 6.56806i 0.695611 0.774053i
\(73\) 9.51919i 1.11414i −0.830467 0.557068i \(-0.811926\pi\)
0.830467 0.557068i \(-0.188074\pi\)
\(74\) −5.43478 + 9.41331i −0.631780 + 1.09427i
\(75\) −1.09066 1.34553i −0.125939 0.155369i
\(76\) 1.03431 0.597161i 0.118644 0.0684990i
\(77\) 3.01592 + 5.22372i 0.343695 + 0.595298i
\(78\) −5.96185 5.93744i −0.675047 0.672283i
\(79\) −2.41946 + 4.19062i −0.272210 + 0.471482i −0.969427 0.245378i \(-0.921088\pi\)
0.697217 + 0.716860i \(0.254421\pi\)
\(80\) 3.59650i 0.402100i
\(81\) 0.958005 + 8.94887i 0.106445 + 0.994319i
\(82\) −9.95222 −1.09904
\(83\) −2.46941 1.42572i −0.271053 0.156493i 0.358313 0.933602i \(-0.383352\pi\)
−0.629366 + 0.777109i \(0.716685\pi\)
\(84\) 1.40504 + 0.538569i 0.153303 + 0.0587627i
\(85\) −0.597541 + 0.344990i −0.0648124 + 0.0374195i
\(86\) 12.6590 7.30869i 1.36506 0.788116i
\(87\) −6.07324 7.49245i −0.651120 0.803274i
\(88\) 1.88732 3.26893i 0.201189 0.348469i
\(89\) 10.7367i 1.13809i −0.822306 0.569045i \(-0.807313\pi\)
0.822306 0.569045i \(-0.192687\pi\)
\(90\) 3.00639 + 2.70173i 0.316902 + 0.284787i
\(91\) 6.87370 15.5040i 0.720559 1.62526i
\(92\) −0.388693 + 0.673235i −0.0405240 + 0.0701896i
\(93\) 0.202958 + 1.27744i 0.0210458 + 0.132465i
\(94\) 5.05769 + 8.76017i 0.521661 + 0.903543i
\(95\) 3.23321 + 5.60008i 0.331720 + 0.574556i
\(96\) −0.283014 1.78133i −0.0288850 0.181806i
\(97\) −1.55060 0.895240i −0.157440 0.0908979i 0.419210 0.907889i \(-0.362307\pi\)
−0.576650 + 0.816991i \(0.695640\pi\)
\(98\) 20.3781i 2.05850i
\(99\) 1.19234 + 3.65764i 0.119834 + 0.367607i
\(100\) −0.184696 −0.0184696
\(101\) −1.85667 + 3.21584i −0.184745 + 0.319988i −0.943491 0.331399i \(-0.892479\pi\)
0.758746 + 0.651387i \(0.225813\pi\)
\(102\) 1.25085 1.01392i 0.123853 0.100393i
\(103\) −5.29740 9.17537i −0.521969 0.904076i −0.999673 0.0255558i \(-0.991864\pi\)
0.477705 0.878520i \(-0.341469\pi\)
\(104\) −10.5531 + 1.12592i −1.03482 + 0.110406i
\(105\) −2.91598 + 7.60733i −0.284570 + 0.742399i
\(106\) 6.34893 + 3.66556i 0.616663 + 0.356030i
\(107\) −14.5036 −1.40211 −0.701056 0.713106i \(-0.747288\pi\)
−0.701056 + 0.713106i \(0.747288\pi\)
\(108\) 0.805634 + 0.521531i 0.0775222 + 0.0501843i
\(109\) 4.43511i 0.424806i 0.977182 + 0.212403i \(0.0681290\pi\)
−0.977182 + 0.212403i \(0.931871\pi\)
\(110\) 1.49629 + 0.863882i 0.142665 + 0.0823679i
\(111\) −13.0476 5.00128i −1.23842 0.474701i
\(112\) −14.6504 + 8.45842i −1.38433 + 0.799245i
\(113\) 3.57608 + 6.19396i 0.336409 + 0.582678i 0.983755 0.179519i \(-0.0574540\pi\)
−0.647345 + 0.762197i \(0.724121\pi\)
\(114\) −9.50231 11.7228i −0.889973 1.09794i
\(115\) −3.64510 2.10450i −0.339907 0.196246i
\(116\) −1.02846 −0.0954901
\(117\) 6.33568 8.76693i 0.585734 0.810503i
\(118\) −0.556882 −0.0512651
\(119\) 2.81065 + 1.62273i 0.257652 + 0.148756i
\(120\) 5.03516 0.799978i 0.459645 0.0730276i
\(121\) −4.67778 8.10215i −0.425253 0.736559i
\(122\) 6.80481 3.92876i 0.616078 0.355693i
\(123\) −2.00751 12.6355i −0.181011 1.13931i
\(124\) 0.119449 + 0.0689638i 0.0107268 + 0.00619313i
\(125\) 1.00000i 0.0894427i
\(126\) 3.93496 18.6007i 0.350554 1.65708i
\(127\) 10.7582 0.954634 0.477317 0.878731i \(-0.341609\pi\)
0.477317 + 0.878731i \(0.341609\pi\)
\(128\) 8.22639 + 4.74951i 0.727117 + 0.419801i
\(129\) 11.8327 + 14.5978i 1.04181 + 1.28527i
\(130\) −0.515368 4.83046i −0.0452008 0.423659i
\(131\) −8.92688 15.4618i −0.779945 1.35090i −0.931973 0.362528i \(-0.881914\pi\)
0.152028 0.988376i \(-0.451420\pi\)
\(132\) 0.383054 + 0.146829i 0.0333406 + 0.0127798i
\(133\) 15.2080 26.3411i 1.31870 2.28406i
\(134\) 14.7134 1.27104
\(135\) −2.82373 + 4.36195i −0.243028 + 0.375417i
\(136\) 2.03097i 0.174154i
\(137\) 3.72175 + 2.14875i 0.317970 + 0.183580i 0.650488 0.759517i \(-0.274565\pi\)
−0.332517 + 0.943097i \(0.607898\pi\)
\(138\) 9.17162 + 3.51559i 0.780740 + 0.299267i
\(139\) 0.0771951 + 0.133706i 0.00654761 + 0.0113408i 0.869281 0.494319i \(-0.164582\pi\)
−0.862733 + 0.505660i \(0.831249\pi\)
\(140\) 0.434377 + 0.752363i 0.0367116 + 0.0635863i
\(141\) −10.1019 + 8.18838i −0.850729 + 0.689586i
\(142\) 3.90906 6.77068i 0.328041 0.568183i
\(143\) 1.87396 4.22683i 0.156708 0.353465i
\(144\) −10.2582 + 3.34402i −0.854849 + 0.278668i
\(145\) 5.56839i 0.462430i
\(146\) −6.41276 + 11.1072i −0.530723 + 0.919240i
\(147\) 25.8724 4.11056i 2.13392 0.339034i
\(148\) −1.29040 + 0.745014i −0.106070 + 0.0612398i
\(149\) 8.04826 4.64667i 0.659339 0.380670i −0.132686 0.991158i \(-0.542360\pi\)
0.792025 + 0.610488i \(0.209027\pi\)
\(150\) 0.366173 + 2.30474i 0.0298979 + 0.188181i
\(151\) −6.14219 3.54620i −0.499845 0.288585i 0.228805 0.973472i \(-0.426518\pi\)
−0.728649 + 0.684887i \(0.759852\pi\)
\(152\) −19.0340 −1.54386
\(153\) 1.53960 + 1.38358i 0.124469 + 0.111856i
\(154\) 8.12688i 0.654883i
\(155\) −0.373391 + 0.646732i −0.0299915 + 0.0519468i
\(156\) −0.300813 1.11351i −0.0240843 0.0891521i
\(157\) −6.72039 11.6401i −0.536345 0.928978i −0.999097 0.0424895i \(-0.986471\pi\)
0.462751 0.886488i \(-0.346862\pi\)
\(158\) 5.64616 3.25981i 0.449184 0.259337i
\(159\) −3.37318 + 8.80011i −0.267511 + 0.697894i
\(160\) 0.520674 0.901834i 0.0411629 0.0712963i
\(161\) 19.7979i 1.56029i
\(162\) 4.91073 11.0871i 0.385823 0.871087i
\(163\) 4.64686i 0.363970i −0.983301 0.181985i \(-0.941748\pi\)
0.983301 0.181985i \(-0.0582523\pi\)
\(164\) −1.18150 0.682139i −0.0922596 0.0532661i
\(165\) −0.794976 + 2.07397i −0.0618888 + 0.161458i
\(166\) 1.92091 + 3.32712i 0.149092 + 0.258234i
\(167\) 10.9080 6.29773i 0.844086 0.487333i −0.0145650 0.999894i \(-0.504636\pi\)
0.858651 + 0.512561i \(0.171303\pi\)
\(168\) −15.1007 18.6294i −1.16504 1.43729i
\(169\) −12.7074 + 2.74275i −0.977490 + 0.210981i
\(170\) 0.929633 0.0712996
\(171\) 12.9667 14.4290i 0.991591 1.10341i
\(172\) 2.00379 0.152788
\(173\) 10.8444 18.7831i 0.824485 1.42805i −0.0778279 0.996967i \(-0.524798\pi\)
0.902313 0.431082i \(-0.141868\pi\)
\(174\) 2.03900 + 12.8337i 0.154576 + 0.972920i
\(175\) −4.07352 + 2.35185i −0.307929 + 0.177783i
\(176\) −3.99411 + 2.30600i −0.301067 + 0.173821i
\(177\) −0.112331 0.707026i −0.00844333 0.0531434i
\(178\) −7.23297 + 12.5279i −0.542134 + 0.939004i
\(179\) −15.5830 −1.16473 −0.582364 0.812928i \(-0.697872\pi\)
−0.582364 + 0.812928i \(0.697872\pi\)
\(180\) 0.171730 + 0.526804i 0.0128000 + 0.0392656i
\(181\) −23.6483 −1.75776 −0.878882 0.477040i \(-0.841710\pi\)
−0.878882 + 0.477040i \(0.841710\pi\)
\(182\) −18.4649 + 13.4599i −1.36871 + 0.997713i
\(183\) 6.36065 + 7.84701i 0.470193 + 0.580068i
\(184\) 10.7294 6.19462i 0.790981 0.456673i
\(185\) −4.03373 6.98663i −0.296566 0.513667i
\(186\) 0.623753 1.62728i 0.0457358 0.119318i
\(187\) 0.766262 + 0.442402i 0.0560346 + 0.0323516i
\(188\) 1.38664i 0.101131i
\(189\) 24.4095 + 1.24387i 1.77553 + 0.0904781i
\(190\) 8.71241i 0.632065i
\(191\) −0.337619 + 0.584773i −0.0244292 + 0.0423127i −0.877982 0.478694i \(-0.841110\pi\)
0.853552 + 0.521007i \(0.174444\pi\)
\(192\) −5.32896 + 13.9024i −0.384584 + 1.00332i
\(193\) −12.7236 + 7.34599i −0.915867 + 0.528776i −0.882314 0.470661i \(-0.844015\pi\)
−0.0335526 + 0.999437i \(0.510682\pi\)
\(194\) 1.20619 + 2.08918i 0.0865991 + 0.149994i
\(195\) 6.02888 1.62869i 0.431737 0.116633i
\(196\) 1.39674 2.41923i 0.0997674 0.172802i
\(197\) 2.61631i 0.186404i −0.995647 0.0932021i \(-0.970290\pi\)
0.995647 0.0932021i \(-0.0297103\pi\)
\(198\) 1.07278 5.07106i 0.0762392 0.360385i
\(199\) 25.9577 1.84009 0.920045 0.391813i \(-0.128152\pi\)
0.920045 + 0.391813i \(0.128152\pi\)
\(200\) 2.54916 + 1.47176i 0.180253 + 0.104069i
\(201\) 2.96790 + 18.6804i 0.209340 + 1.31761i
\(202\) 4.33280 2.50154i 0.304855 0.176008i
\(203\) −22.6830 + 13.0960i −1.59203 + 0.919161i
\(204\) 0.217993 0.0346343i 0.0152625 0.00242489i
\(205\) 3.69331 6.39700i 0.257952 0.446786i
\(206\) 14.2747i 0.994567i
\(207\) −2.61340 + 12.3536i −0.181644 + 0.858634i
\(208\) 11.8545 + 5.25570i 0.821963 + 0.364417i
\(209\) 4.14613 7.18132i 0.286794 0.496742i
\(210\) 8.52723 6.91202i 0.588435 0.476975i
\(211\) −5.16589 8.94758i −0.355634 0.615977i 0.631592 0.775301i \(-0.282402\pi\)
−0.987226 + 0.159324i \(0.949069\pi\)
\(212\) 0.502485 + 0.870329i 0.0345108 + 0.0597744i
\(213\) 9.38469 + 3.59726i 0.643028 + 0.246480i
\(214\) 16.9231 + 9.77056i 1.15684 + 0.667902i
\(215\) 10.8491i 0.739904i
\(216\) −6.96345 13.6178i −0.473802 0.926576i
\(217\) 3.51264 0.238453
\(218\) 2.98778 5.17499i 0.202358 0.350494i
\(219\) −15.3955 5.90125i −1.04033 0.398770i
\(220\) 0.118423 + 0.205115i 0.00798410 + 0.0138289i
\(221\) −0.263925 2.47372i −0.0177535 0.166401i
\(222\) 11.8550 + 14.6253i 0.795657 + 0.981587i
\(223\) 15.3886 + 8.88463i 1.03050 + 0.594959i 0.917128 0.398594i \(-0.130502\pi\)
0.113371 + 0.993553i \(0.463835\pi\)
\(224\) −4.89819 −0.327274
\(225\) −2.85227 + 0.929800i −0.190152 + 0.0619867i
\(226\) 9.63634i 0.641000i
\(227\) −24.6734 14.2452i −1.63763 0.945485i −0.981647 0.190707i \(-0.938922\pi\)
−0.655981 0.754777i \(-0.727745\pi\)
\(228\) −0.324589 2.04300i −0.0214964 0.135301i
\(229\) −5.24154 + 3.02620i −0.346371 + 0.199977i −0.663086 0.748544i \(-0.730753\pi\)
0.316715 + 0.948521i \(0.397420\pi\)
\(230\) 2.83546 + 4.91116i 0.186965 + 0.323832i
\(231\) 10.3180 1.63931i 0.678876 0.107859i
\(232\) 14.1947 + 8.19531i 0.931928 + 0.538049i
\(233\) 8.75020 0.573244 0.286622 0.958044i \(-0.407468\pi\)
0.286622 + 0.958044i \(0.407468\pi\)
\(234\) −13.2986 + 5.96133i −0.869357 + 0.389705i
\(235\) −7.50771 −0.489749
\(236\) −0.0661114 0.0381694i −0.00430349 0.00248462i
\(237\) 5.27763 + 6.51091i 0.342819 + 0.422929i
\(238\) −2.18636 3.78688i −0.141721 0.245467i
\(239\) 24.3851 14.0788i 1.57734 0.910679i 0.582114 0.813107i \(-0.302226\pi\)
0.995229 0.0975716i \(-0.0311075\pi\)
\(240\) −5.81664 2.22958i −0.375462 0.143919i
\(241\) −2.53789 1.46525i −0.163480 0.0943852i 0.416028 0.909352i \(-0.363422\pi\)
−0.579508 + 0.814967i \(0.696755\pi\)
\(242\) 12.6050i 0.810283i
\(243\) 15.0670 + 3.99830i 0.966547 + 0.256491i
\(244\) 1.07713 0.0689562
\(245\) 13.0984 + 7.56239i 0.836829 + 0.483143i
\(246\) −6.16970 + 16.0958i −0.393366 + 1.02623i
\(247\) −23.1834 + 2.47347i −1.47513 + 0.157383i
\(248\) −1.09908 1.90366i −0.0697917 0.120883i
\(249\) −3.83669 + 3.10995i −0.243140 + 0.197085i
\(250\) −0.673666 + 1.16682i −0.0426064 + 0.0737964i
\(251\) 14.7686 0.932185 0.466093 0.884736i \(-0.345661\pi\)
0.466093 + 0.884736i \(0.345661\pi\)
\(252\) 1.74206 1.93851i 0.109740 0.122115i
\(253\) 5.39745i 0.339335i
\(254\) −12.5529 7.24742i −0.787639 0.454744i
\(255\) 0.187521 + 1.18028i 0.0117430 + 0.0739119i
\(256\) 2.19687 + 3.80509i 0.137304 + 0.237818i
\(257\) −8.52231 14.7611i −0.531607 0.920771i −0.999319 0.0368900i \(-0.988255\pi\)
0.467712 0.883881i \(-0.345078\pi\)
\(258\) −3.97266 25.0044i −0.247327 1.55671i
\(259\) −18.9735 + 32.8630i −1.17895 + 2.04201i
\(260\) 0.269903 0.608783i 0.0167387 0.0377551i
\(261\) −15.8826 + 5.17749i −0.983108 + 0.320479i
\(262\) 24.0549i 1.48612i
\(263\) −6.10773 + 10.5789i −0.376619 + 0.652323i −0.990568 0.137023i \(-0.956247\pi\)
0.613949 + 0.789346i \(0.289580\pi\)
\(264\) −4.11686 5.07889i −0.253375 0.312584i
\(265\) −4.71222 + 2.72060i −0.289470 + 0.167125i
\(266\) −35.4902 + 20.4903i −2.17604 + 1.25634i
\(267\) −17.3646 6.65604i −1.06270 0.407343i
\(268\) 1.74673 + 1.00848i 0.106699 + 0.0616024i
\(269\) 14.2974 0.871727 0.435863 0.900013i \(-0.356443\pi\)
0.435863 + 0.900013i \(0.356443\pi\)
\(270\) 6.23329 3.18738i 0.379346 0.193977i
\(271\) 3.84476i 0.233553i −0.993158 0.116776i \(-0.962744\pi\)
0.993158 0.116776i \(-0.0372561\pi\)
\(272\) −1.24076 + 2.14905i −0.0752319 + 0.130306i
\(273\) −20.8135 20.7283i −1.25969 1.25454i
\(274\) −2.89508 5.01443i −0.174898 0.302933i
\(275\) −1.11056 + 0.641180i −0.0669690 + 0.0386646i
\(276\) 0.847865 + 1.04600i 0.0510355 + 0.0629615i
\(277\) 13.5454 23.4614i 0.813865 1.40966i −0.0962743 0.995355i \(-0.530693\pi\)
0.910140 0.414301i \(-0.135974\pi\)
\(278\) 0.208015i 0.0124759i
\(279\) 2.19184 + 0.463682i 0.131222 + 0.0277599i
\(280\) 13.8454i 0.827420i
\(281\) 7.02708 + 4.05709i 0.419201 + 0.242026i 0.694735 0.719266i \(-0.255522\pi\)
−0.275535 + 0.961291i \(0.588855\pi\)
\(282\) 17.3033 2.74912i 1.03040 0.163708i
\(283\) 12.1427 + 21.0317i 0.721807 + 1.25021i 0.960275 + 0.279056i \(0.0900215\pi\)
−0.238468 + 0.971150i \(0.576645\pi\)
\(284\) 0.928144 0.535864i 0.0550752 0.0317977i
\(285\) 11.0614 1.75742i 0.655222 0.104101i
\(286\) −5.03405 + 3.66954i −0.297670 + 0.216984i
\(287\) −34.7444 −2.05090
\(288\) −3.05640 0.646581i −0.180100 0.0381001i
\(289\) −16.5239 −0.971996
\(290\) −3.75124 + 6.49733i −0.220280 + 0.381537i
\(291\) −2.40915 + 1.95281i −0.141227 + 0.114476i
\(292\) −1.52261 + 0.879078i −0.0891039 + 0.0514442i
\(293\) −22.8249 + 13.1779i −1.33344 + 0.769864i −0.985826 0.167773i \(-0.946342\pi\)
−0.347617 + 0.937637i \(0.613009\pi\)
\(294\) −32.9577 12.6330i −1.92213 0.736774i
\(295\) 0.206661 0.357947i 0.0120323 0.0208405i
\(296\) 23.7467 1.38025
\(297\) 6.65470 + 0.339113i 0.386145 + 0.0196773i
\(298\) −12.5212 −0.725334
\(299\) 12.2634 8.93934i 0.709213 0.516976i
\(300\) −0.114499 + 0.298710i −0.00661060 + 0.0172460i
\(301\) 44.1941 25.5155i 2.54731 1.47069i
\(302\) 4.77791 + 8.27557i 0.274938 + 0.476206i
\(303\) 4.04999 + 4.99640i 0.232666 + 0.287036i
\(304\) 20.1407 + 11.6282i 1.15515 + 0.666924i
\(305\) 5.83191i 0.333934i
\(306\) −0.864373 2.65157i −0.0494129 0.151580i
\(307\) 17.8331i 1.01779i 0.860828 + 0.508896i \(0.169946\pi\)
−0.860828 + 0.508896i \(0.830054\pi\)
\(308\) 0.557028 0.964800i 0.0317396 0.0549746i
\(309\) −18.1234 + 2.87942i −1.03101 + 0.163805i
\(310\) 0.871363 0.503082i 0.0494901 0.0285731i
\(311\) 12.4668 + 21.5932i 0.706929 + 1.22444i 0.965991 + 0.258576i \(0.0832533\pi\)
−0.259062 + 0.965861i \(0.583413\pi\)
\(312\) −4.72124 + 17.7656i −0.267287 + 1.00578i
\(313\) 0.556344 0.963617i 0.0314464 0.0544668i −0.849874 0.526986i \(-0.823322\pi\)
0.881320 + 0.472519i \(0.156655\pi\)
\(314\) 18.1092i 1.02196i
\(315\) 10.4957 + 9.43206i 0.591365 + 0.531436i
\(316\) 0.893728 0.0502761
\(317\) 23.8124 + 13.7481i 1.33744 + 0.772169i 0.986427 0.164203i \(-0.0525051\pi\)
0.351010 + 0.936372i \(0.385838\pi\)
\(318\) 9.86424 7.99578i 0.553159 0.448381i
\(319\) −6.18401 + 3.57034i −0.346238 + 0.199901i
\(320\) −7.44438 + 4.29802i −0.416154 + 0.240266i
\(321\) −8.99123 + 23.4567i −0.501841 + 1.30923i
\(322\) 13.3371 23.1006i 0.743250 1.28735i
\(323\) 4.46170i 0.248256i
\(324\) 1.34291 0.979644i 0.0746064 0.0544247i
\(325\) 3.29613 + 1.46134i 0.182837 + 0.0810605i
\(326\) −3.13043 + 5.42207i −0.173379 + 0.300301i
\(327\) 7.17293 + 2.74947i 0.396664 + 0.152046i
\(328\) 10.8713 + 18.8296i 0.600267 + 1.03969i
\(329\) 17.6570 + 30.5828i 0.973462 + 1.68609i
\(330\) 2.32476 1.88441i 0.127974 0.103733i
\(331\) −10.6947 6.17460i −0.587835 0.339387i 0.176406 0.984317i \(-0.443553\pi\)
−0.764241 + 0.644931i \(0.776886\pi\)
\(332\) 0.526648i 0.0289036i
\(333\) −16.1772 + 18.0015i −0.886506 + 0.986475i
\(334\) −16.9703 −0.928572
\(335\) −5.46019 + 9.45733i −0.298322 + 0.516709i
\(336\) 4.59760 + 28.9379i 0.250820 + 1.57869i
\(337\) −0.663331 1.14892i −0.0361339 0.0625858i 0.847393 0.530966i \(-0.178171\pi\)
−0.883527 + 0.468381i \(0.844838\pi\)
\(338\) 16.6750 + 5.36022i 0.906999 + 0.291557i
\(339\) 12.2345 1.94379i 0.664485 0.105572i
\(340\) 0.110363 + 0.0637184i 0.00598530 + 0.00345561i
\(341\) 0.957643 0.0518593
\(342\) −24.8502 + 8.10080i −1.34374 + 0.438041i
\(343\) 38.2165i 2.06350i
\(344\) −27.6561 15.9673i −1.49112 0.860897i
\(345\) −5.66334 + 4.59060i −0.304904 + 0.247150i
\(346\) −25.3070 + 14.6110i −1.36051 + 0.785493i
\(347\) 12.6904 + 21.9804i 0.681256 + 1.17997i 0.974598 + 0.223963i \(0.0718993\pi\)
−0.293342 + 0.956008i \(0.594767\pi\)
\(348\) −0.637576 + 1.66334i −0.0341776 + 0.0891642i
\(349\) −11.4337 6.60123i −0.612030 0.353355i 0.161730 0.986835i \(-0.448293\pi\)
−0.773759 + 0.633480i \(0.781626\pi\)
\(350\) 6.33744 0.338751
\(351\) −10.2511 15.6817i −0.547165 0.837025i
\(352\) −1.33538 −0.0711761
\(353\) 8.09353 + 4.67280i 0.430775 + 0.248708i 0.699677 0.714460i \(-0.253327\pi\)
−0.268902 + 0.963168i \(0.586661\pi\)
\(354\) −0.345229 + 0.900649i −0.0183487 + 0.0478689i
\(355\) 2.90133 + 5.02525i 0.153987 + 0.266713i
\(356\) −1.71736 + 0.991515i −0.0910196 + 0.0525502i
\(357\) 4.36687 3.53971i 0.231119 0.187341i
\(358\) 18.1826 + 10.4977i 0.960981 + 0.554823i
\(359\) 29.6022i 1.56234i −0.624315 0.781172i \(-0.714622\pi\)
0.624315 0.781172i \(-0.285378\pi\)
\(360\) 1.82765 8.63933i 0.0963254 0.455333i
\(361\) −22.8145 −1.20077
\(362\) 27.5934 + 15.9311i 1.45028 + 0.837318i
\(363\) −16.0036 + 2.54262i −0.839970 + 0.133453i
\(364\) −3.11466 + 0.332307i −0.163253 + 0.0174176i
\(365\) −4.75959 8.24386i −0.249129 0.431503i
\(366\) −2.13549 13.4410i −0.111624 0.702574i
\(367\) 9.36803 16.2259i 0.489007 0.846985i −0.510913 0.859633i \(-0.670693\pi\)
0.999920 + 0.0126473i \(0.00402586\pi\)
\(368\) −15.1376 −0.789104
\(369\) −21.6800 4.58640i −1.12862 0.238758i
\(370\) 10.8696i 0.565081i
\(371\) 22.1649 + 12.7969i 1.15074 + 0.664382i
\(372\) 0.185586 0.150433i 0.00962218 0.00779957i
\(373\) 7.12935 + 12.3484i 0.369144 + 0.639375i 0.989432 0.144998i \(-0.0463177\pi\)
−0.620288 + 0.784374i \(0.712984\pi\)
\(374\) −0.596062 1.03241i −0.0308216 0.0533846i
\(375\) −1.61731 0.619932i −0.0835174 0.0320132i
\(376\) 11.0495 19.1383i 0.569835 0.986983i
\(377\) 18.3542 + 8.13731i 0.945287 + 0.419093i
\(378\) −27.6436 17.8952i −1.42183 0.920430i
\(379\) 2.12905i 0.109362i −0.998504 0.0546811i \(-0.982586\pi\)
0.998504 0.0546811i \(-0.0174142\pi\)
\(380\) 0.597161 1.03431i 0.0306337 0.0530591i
\(381\) 6.66934 17.3993i 0.341681 0.891392i
\(382\) 0.787883 0.454885i 0.0403116 0.0232739i
\(383\) −10.5441 + 6.08761i −0.538776 + 0.311063i −0.744583 0.667530i \(-0.767352\pi\)
0.205807 + 0.978593i \(0.434018\pi\)
\(384\) 12.7812 10.3602i 0.652239 0.528693i
\(385\) 5.22372 + 3.01592i 0.266225 + 0.153705i
\(386\) 19.7950 1.00754
\(387\) 30.9447 10.0875i 1.57301 0.512777i
\(388\) 0.330695i 0.0167885i
\(389\) 12.7383 22.0634i 0.645858 1.11866i −0.338245 0.941058i \(-0.609833\pi\)
0.984103 0.177600i \(-0.0568333\pi\)
\(390\) −8.13183 2.16105i −0.411771 0.109429i
\(391\) 1.45206 + 2.51505i 0.0734340 + 0.127191i
\(392\) −38.5554 + 22.2600i −1.94734 + 1.12430i
\(393\) −30.5406 + 4.85223i −1.54057 + 0.244763i
\(394\) −1.76252 + 3.05277i −0.0887943 + 0.153796i
\(395\) 4.83891i 0.243472i
\(396\) 0.474935 0.528492i 0.0238664 0.0265577i
\(397\) 18.5900i 0.933004i 0.884520 + 0.466502i \(0.154486\pi\)
−0.884520 + 0.466502i \(0.845514\pi\)
\(398\) −30.2880 17.4868i −1.51820 0.876534i
\(399\) −33.1737 40.9258i −1.66076 2.04885i
\(400\) −1.79825 3.11466i −0.0899124 0.155733i
\(401\) 3.02411 1.74597i 0.151017 0.0871897i −0.422587 0.906322i \(-0.638878\pi\)
0.573604 + 0.819132i \(0.305545\pi\)
\(402\) 9.12130 23.7961i 0.454929 1.18684i
\(403\) −1.58606 2.17584i −0.0790075 0.108386i
\(404\) 0.685837 0.0341217
\(405\) 5.30409 + 7.27094i 0.263562 + 0.361296i
\(406\) 35.2894 1.75138
\(407\) −5.17269 + 8.95937i −0.256401 + 0.444099i
\(408\) −3.28470 1.25906i −0.162617 0.0623328i
\(409\) 6.29168 3.63250i 0.311103 0.179616i −0.336317 0.941749i \(-0.609181\pi\)
0.647420 + 0.762133i \(0.275848\pi\)
\(410\) −8.61888 + 4.97611i −0.425656 + 0.245753i
\(411\) 5.78242 4.68713i 0.285226 0.231199i
\(412\) −0.978409 + 1.69465i −0.0482028 + 0.0834896i
\(413\) −1.94414 −0.0956649
\(414\) 11.3716 12.6539i 0.558882 0.621906i
\(415\) −2.85143 −0.139971
\(416\) 2.21168 + 3.03410i 0.108437 + 0.148759i
\(417\) 0.264099 0.0419597i 0.0129330 0.00205477i
\(418\) −9.67562 + 5.58622i −0.473250 + 0.273231i
\(419\) −8.78209 15.2110i −0.429033 0.743107i 0.567755 0.823198i \(-0.307812\pi\)
−0.996788 + 0.0800910i \(0.974479\pi\)
\(420\) 1.48609 0.236107i 0.0725136 0.0115209i
\(421\) 13.8198 + 7.97886i 0.673536 + 0.388866i 0.797415 0.603431i \(-0.206200\pi\)
−0.123879 + 0.992297i \(0.539534\pi\)
\(422\) 13.9203i 0.677631i
\(423\) 6.98067 + 21.4140i 0.339412 + 1.04119i
\(424\) 16.0163i 0.777818i
\(425\) −0.344990 + 0.597541i −0.0167345 + 0.0289850i
\(426\) −8.52693 10.5195i −0.413131 0.509672i
\(427\) 23.7564 13.7158i 1.14965 0.663753i
\(428\) 1.33938 + 2.31987i 0.0647412 + 0.112135i
\(429\) −5.67435 5.65112i −0.273960 0.272838i
\(430\) 7.30869 12.6590i 0.352456 0.610472i
\(431\) 2.36438i 0.113888i −0.998377 0.0569440i \(-0.981864\pi\)
0.998377 0.0569440i \(-0.0181356\pi\)
\(432\) −0.951075 + 18.6637i −0.0457586 + 0.897959i
\(433\) −15.9227 −0.765194 −0.382597 0.923915i \(-0.624970\pi\)
−0.382597 + 0.923915i \(0.624970\pi\)
\(434\) −4.09863 2.36634i −0.196741 0.113588i
\(435\) −9.00580 3.45203i −0.431795 0.165512i
\(436\) 0.709402 0.409573i 0.0339742 0.0196150i
\(437\) 23.5707 13.6086i 1.12754 0.650986i
\(438\) 13.9883 + 17.2571i 0.668387 + 0.824577i
\(439\) 12.2763 21.2632i 0.585916 1.01484i −0.408844 0.912604i \(-0.634068\pi\)
0.994761 0.102233i \(-0.0325986\pi\)
\(440\) 3.77464i 0.179949i
\(441\) 9.39108 44.3919i 0.447195 2.11390i
\(442\) −1.35851 + 3.06420i −0.0646177 + 0.145749i
\(443\) 10.9342 18.9386i 0.519501 0.899802i −0.480242 0.877136i \(-0.659451\pi\)
0.999743 0.0226659i \(-0.00721539\pi\)
\(444\) 0.404955 + 2.54884i 0.0192183 + 0.120962i
\(445\) −5.36836 9.29828i −0.254485 0.440781i
\(446\) −11.9705 20.7336i −0.566822 0.981764i
\(447\) −2.52571 15.8971i −0.119462 0.751909i
\(448\) 35.0161 + 20.2166i 1.65436 + 0.955143i
\(449\) 13.2031i 0.623092i 0.950231 + 0.311546i \(0.100847\pi\)
−0.950231 + 0.311546i \(0.899153\pi\)
\(450\) 3.95448 + 0.836568i 0.186416 + 0.0394362i
\(451\) −9.47229 −0.446033
\(452\) 0.660488 1.14400i 0.0310667 0.0538092i
\(453\) −9.54304 + 7.73541i −0.448371 + 0.363441i
\(454\) 19.1930 + 33.2432i 0.900771 + 1.56018i
\(455\) −1.79921 16.8637i −0.0843483 0.790583i
\(456\) −11.7998 + 30.7838i −0.552575 + 1.44158i
\(457\) 14.3166 + 8.26571i 0.669704 + 0.386654i 0.795964 0.605344i \(-0.206964\pi\)
−0.126261 + 0.991997i \(0.540298\pi\)
\(458\) 8.15460 0.381039
\(459\) 3.19212 1.63228i 0.148995 0.0761885i
\(460\) 0.777385i 0.0362458i
\(461\) −30.1732 17.4205i −1.40531 0.811354i −0.410375 0.911917i \(-0.634602\pi\)
−0.994931 + 0.100563i \(0.967935\pi\)
\(462\) −13.1437 5.03812i −0.611499 0.234394i
\(463\) 28.0327 16.1847i 1.30279 0.752167i 0.321910 0.946770i \(-0.395675\pi\)
0.980882 + 0.194603i \(0.0623419\pi\)
\(464\) −10.0134 17.3436i −0.464858 0.805158i
\(465\) 0.814488 + 1.00482i 0.0377710 + 0.0465973i
\(466\) −10.2099 5.89471i −0.472966 0.273067i
\(467\) 8.15829 0.377521 0.188760 0.982023i \(-0.439553\pi\)
0.188760 + 0.982023i \(0.439553\pi\)
\(468\) −1.98737 0.203793i −0.0918663 0.00942032i
\(469\) 51.3662 2.37187
\(470\) 8.76017 + 5.05769i 0.404077 + 0.233294i
\(471\) −22.9917 + 3.65289i −1.05940 + 0.168316i
\(472\) 0.608309 + 1.05362i 0.0279997 + 0.0484969i
\(473\) 12.0486 6.95624i 0.553993 0.319848i
\(474\) −1.77188 11.1524i −0.0813852 0.512249i
\(475\) 5.60008 + 3.23321i 0.256949 + 0.148350i
\(476\) 0.599424i 0.0274746i
\(477\) 12.1413 + 10.9109i 0.555914 + 0.499578i
\(478\) −37.9375 −1.73522
\(479\) −15.9891 9.23132i −0.730561 0.421790i 0.0880661 0.996115i \(-0.471931\pi\)
−0.818628 + 0.574325i \(0.805265\pi\)
\(480\) −1.13576 1.40117i −0.0518401 0.0639542i
\(481\) 28.9235 3.08588i 1.31880 0.140704i
\(482\) 1.97418 + 3.41938i 0.0899215 + 0.155749i
\(483\) 32.0192 + 12.2733i 1.45693 + 0.558456i
\(484\) −0.863967 + 1.49643i −0.0392712 + 0.0680197i
\(485\) −1.79048 −0.0813015
\(486\) −14.8870 14.8154i −0.675287 0.672041i
\(487\) 36.5271i 1.65520i −0.561317 0.827601i \(-0.689705\pi\)
0.561317 0.827601i \(-0.310295\pi\)
\(488\) −14.8664 8.58314i −0.672972 0.388541i
\(489\) −7.51540 2.88074i −0.339858 0.130272i
\(490\) −10.1891 17.6480i −0.460295 0.797254i
\(491\) −12.3472 21.3859i −0.557220 0.965133i −0.997727 0.0673836i \(-0.978535\pi\)
0.440508 0.897749i \(-0.354798\pi\)
\(492\) −1.83568 + 1.48797i −0.0827588 + 0.0670828i
\(493\) −1.92104 + 3.32734i −0.0865194 + 0.149856i
\(494\) 28.7173 + 12.7318i 1.29205 + 0.572830i
\(495\) 2.86141 + 2.57144i 0.128611 + 0.115578i
\(496\) 2.68580i 0.120596i
\(497\) 13.6470 23.6373i 0.612151 1.06028i
\(498\) 6.57181 1.04412i 0.294490 0.0467881i
\(499\) 6.04869 3.49221i 0.270776 0.156333i −0.358464 0.933544i \(-0.616699\pi\)
0.629240 + 0.777211i \(0.283366\pi\)
\(500\) −0.159951 + 0.0923480i −0.00715325 + 0.00412993i
\(501\) −3.42315 21.5458i −0.152935 0.962593i
\(502\) −17.2323 9.94910i −0.769117 0.444050i
\(503\) 10.0965 0.450179 0.225089 0.974338i \(-0.427733\pi\)
0.225089 + 0.974338i \(0.427733\pi\)
\(504\) −39.4909 + 12.8734i −1.75906 + 0.573429i
\(505\) 3.71333i 0.165241i
\(506\) 3.63608 6.29787i 0.161643 0.279974i
\(507\) −3.44184 + 22.2521i −0.152857 + 0.988248i
\(508\) −0.993496 1.72079i −0.0440793 0.0763475i
\(509\) −25.1392 + 14.5141i −1.11427 + 0.643326i −0.939933 0.341359i \(-0.889113\pi\)
−0.174341 + 0.984685i \(0.555779\pi\)
\(510\) 0.576310 1.50350i 0.0255194 0.0665762i
\(511\) −22.3877 + 38.7766i −0.990374 + 1.71538i
\(512\) 24.9179i 1.10122i
\(513\) −15.2976 29.9162i −0.675404 1.32083i
\(514\) 22.9648i 1.01293i
\(515\) −9.17537 5.29740i −0.404315 0.233431i
\(516\) 1.24221 3.24074i 0.0546854 0.142666i
\(517\) 4.81379 + 8.33773i 0.211710 + 0.366693i
\(518\) 44.2774 25.5636i 1.94544 1.12320i
\(519\) −23.6552 29.1830i −1.03835 1.28099i
\(520\) −8.57628 + 6.25162i −0.376095 + 0.274152i
\(521\) 11.5657 0.506701 0.253350 0.967375i \(-0.418467\pi\)
0.253350 + 0.967375i \(0.418467\pi\)
\(522\) 22.0201 + 4.65834i 0.963793 + 0.203890i
\(523\) 6.17284 0.269919 0.134960 0.990851i \(-0.456910\pi\)
0.134960 + 0.990851i \(0.456910\pi\)
\(524\) −1.64876 + 2.85573i −0.0720264 + 0.124753i
\(525\) 1.27836 + 8.04613i 0.0557920 + 0.351162i
\(526\) 14.2533 8.22914i 0.621473 0.358808i
\(527\) 0.446233 0.257633i 0.0194382 0.0112227i
\(528\) 1.25343 + 7.88926i 0.0545487 + 0.343336i
\(529\) 2.64217 4.57637i 0.114877 0.198973i
\(530\) 7.33111 0.318443
\(531\) −1.21312 0.256634i −0.0526448 0.0111370i
\(532\) −5.61773 −0.243559
\(533\) 15.6882 + 21.5218i 0.679530 + 0.932213i
\(534\) 15.7775 + 19.4644i 0.682758 + 0.842306i
\(535\) −12.5605 + 7.25178i −0.543036 + 0.313522i
\(536\) −16.0721 27.8377i −0.694210 1.20241i
\(537\) −9.66040 + 25.2025i −0.416877 + 1.08757i
\(538\) −16.6825 9.63166i −0.719235 0.415250i
\(539\) 19.3954i 0.835419i
\(540\) 0.958465 + 0.0488419i 0.0412458 + 0.00210182i
\(541\) 10.6019i 0.455811i 0.973683 + 0.227905i \(0.0731877\pi\)
−0.973683 + 0.227905i \(0.926812\pi\)
\(542\) −2.59009 + 4.48616i −0.111254 + 0.192697i
\(543\) −14.6603 + 38.2466i −0.629135 + 1.64132i
\(544\) −0.622248 + 0.359255i −0.0266787 + 0.0154029i
\(545\) 2.21755 + 3.84091i 0.0949895 + 0.164527i
\(546\) 10.3218 + 38.2077i 0.441731 + 1.63514i
\(547\) −13.0254 + 22.5607i −0.556926 + 0.964624i 0.440825 + 0.897593i \(0.354686\pi\)
−0.997751 + 0.0670308i \(0.978647\pi\)
\(548\) 0.793732i 0.0339065i
\(549\) 16.6342 5.42251i 0.709931 0.231427i
\(550\) 1.72776 0.0736721
\(551\) 31.1835 + 18.0038i 1.32846 + 0.766987i
\(552\) −3.36710 21.1930i −0.143313 0.902033i
\(553\) 19.7114 11.3804i 0.838215 0.483944i
\(554\) −31.6102 + 18.2502i −1.34299 + 0.775376i
\(555\) −13.8002 + 2.19255i −0.585784 + 0.0930685i
\(556\) 0.0142576 0.0246949i 0.000604658 0.00104730i
\(557\) 33.4373i 1.41678i 0.705819 + 0.708392i \(0.250579\pi\)
−0.705819 + 0.708392i \(0.749421\pi\)
\(558\) −2.24512 2.01760i −0.0950435 0.0854119i
\(559\) −35.7601 15.8542i −1.51249 0.670563i
\(560\) −8.45842 + 14.6504i −0.357433 + 0.619093i
\(561\) 1.19053 0.965023i 0.0502642 0.0407433i
\(562\) −5.46625 9.46782i −0.230580 0.399376i
\(563\) −6.04230 10.4656i −0.254653 0.441071i 0.710148 0.704052i \(-0.248628\pi\)
−0.964801 + 0.262981i \(0.915294\pi\)
\(564\) 2.24263 + 0.859625i 0.0944317 + 0.0361967i
\(565\) 6.19396 + 3.57608i 0.260582 + 0.150447i
\(566\) 32.7204i 1.37534i
\(567\) 17.1439 38.7065i 0.719978 1.62552i
\(568\) −17.0802 −0.716669
\(569\) −2.87574 + 4.98094i −0.120557 + 0.208812i −0.919988 0.391947i \(-0.871802\pi\)
0.799430 + 0.600759i \(0.205135\pi\)
\(570\) −14.0906 5.40111i −0.590192 0.226227i
\(571\) 3.34805 + 5.79900i 0.140112 + 0.242681i 0.927539 0.373728i \(-0.121921\pi\)
−0.787427 + 0.616408i \(0.788587\pi\)
\(572\) −0.849143 + 0.0905962i −0.0355045 + 0.00378802i
\(573\) 0.736457 + 0.908553i 0.0307659 + 0.0379553i
\(574\) 40.5406 + 23.4061i 1.69213 + 0.976953i
\(575\) −4.20900 −0.175527
\(576\) 19.1809 + 17.2371i 0.799205 + 0.718214i
\(577\) 21.0568i 0.876607i −0.898827 0.438304i \(-0.855579\pi\)
0.898827 0.438304i \(-0.144421\pi\)
\(578\) 19.2805 + 11.1316i 0.801964 + 0.463014i
\(579\) 3.99294 + 25.1320i 0.165941 + 1.04445i
\(580\) −0.890673 + 0.514230i −0.0369832 + 0.0213522i
\(581\) 6.70614 + 11.6154i 0.278217 + 0.481887i
\(582\) 4.12659 0.655627i 0.171053 0.0271766i
\(583\) 6.04276 + 3.48879i 0.250266 + 0.144491i
\(584\) 28.0198 1.15947
\(585\) 1.10340 10.7602i 0.0456198 0.444881i
\(586\) 35.5101 1.46691
\(587\) −13.1797 7.60928i −0.543983 0.314069i 0.202709 0.979239i \(-0.435026\pi\)
−0.746692 + 0.665170i \(0.768359\pi\)
\(588\) −3.04675 3.75872i −0.125646 0.155007i
\(589\) −2.41450 4.18204i −0.0994878 0.172318i
\(590\) −0.482274 + 0.278441i −0.0198549 + 0.0114632i
\(591\) −4.23137 1.62193i −0.174055 0.0667174i
\(592\) −25.1274 14.5073i −1.03273 0.596246i
\(593\) 31.4829i 1.29285i 0.762979 + 0.646423i \(0.223736\pi\)
−0.762979 + 0.646423i \(0.776264\pi\)
\(594\) −7.53641 4.87873i −0.309223 0.200177i
\(595\) 3.24546 0.133051
\(596\) −1.48648 0.858221i −0.0608887 0.0351541i
\(597\) 16.0920 41.9815i 0.658601 1.71819i
\(598\) −20.3314 + 2.16918i −0.831413 + 0.0887045i
\(599\) −3.53079 6.11551i −0.144264 0.249873i 0.784834 0.619706i \(-0.212748\pi\)
−0.929098 + 0.369833i \(0.879415\pi\)
\(600\) 3.96059 3.21038i 0.161690 0.131063i
\(601\) −0.0378043 + 0.0654790i −0.00154207 + 0.00267094i −0.866795 0.498664i \(-0.833824\pi\)
0.865253 + 0.501335i \(0.167158\pi\)
\(602\) −68.7557 −2.80227
\(603\) 32.0518 + 6.78054i 1.30525 + 0.276125i
\(604\) 1.30994i 0.0533006i
\(605\) −8.10215 4.67778i −0.329399 0.190179i
\(606\) −1.35972 8.55826i −0.0552350 0.347656i
\(607\) −22.5595 39.0742i −0.915663 1.58597i −0.805928 0.592014i \(-0.798333\pi\)
−0.109735 0.993961i \(-0.535000\pi\)
\(608\) 3.36690 + 5.83164i 0.136546 + 0.236504i
\(609\) 7.11839 + 44.8040i 0.288452 + 1.81555i
\(610\) 3.92876 6.80481i 0.159071 0.275519i
\(611\) 10.9713 24.7464i 0.443851 1.00113i
\(612\) 0.0791264 0.374032i 0.00319849 0.0151194i
\(613\) 18.2482i 0.737039i 0.929620 + 0.368519i \(0.120135\pi\)
−0.929620 + 0.368519i \(0.879865\pi\)
\(614\) 12.0136 20.8081i 0.484829 0.839748i
\(615\) −8.05631 9.93892i −0.324862 0.400776i
\(616\) −15.3761 + 8.87738i −0.619520 + 0.357680i
\(617\) −6.90824 + 3.98847i −0.278115 + 0.160570i −0.632570 0.774503i \(-0.718000\pi\)
0.354455 + 0.935073i \(0.384667\pi\)
\(618\) 23.0866 + 8.84936i 0.928680 + 0.355974i
\(619\) −3.59308 2.07447i −0.144418 0.0833799i 0.426050 0.904700i \(-0.359905\pi\)
−0.570468 + 0.821320i \(0.693238\pi\)
\(620\) 0.137928 0.00553931
\(621\) 18.3594 + 11.8851i 0.736738 + 0.476931i
\(622\) 33.5939i 1.34699i
\(623\) −25.2512 + 43.7363i −1.01167 + 1.75226i
\(624\) 15.8491 15.9142i 0.634471 0.637079i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −1.29831 + 0.749581i −0.0518910 + 0.0299593i
\(627\) −9.04407 11.1575i −0.361186 0.445588i
\(628\) −1.24123 + 2.14987i −0.0495304 + 0.0857892i
\(629\) 5.56640i 0.221947i
\(630\) −5.89256 18.0761i −0.234765 0.720170i
\(631\) 47.5878i 1.89444i 0.320586 + 0.947219i \(0.396120\pi\)
−0.320586 + 0.947219i \(0.603880\pi\)
\(632\) −12.3351 7.12170i −0.490666 0.283286i
\(633\) −17.6735 + 2.80794i −0.702458 + 0.111605i
\(634\) −18.5232 32.0832i −0.735652 1.27419i
\(635\) 9.31686 5.37909i 0.369728 0.213463i
\(636\) 1.71910 0.273127i 0.0681666 0.0108302i
\(637\) −44.0679 + 32.1230i −1.74603 + 1.27276i
\(638\) 9.62087 0.380894
\(639\) 11.6357 12.9479i 0.460303 0.512210i
\(640\) 9.49901 0.375482
\(641\) −22.3444 + 38.7016i −0.882549 + 1.52862i −0.0340518 + 0.999420i \(0.510841\pi\)
−0.848497 + 0.529200i \(0.822492\pi\)
\(642\) 26.2932 21.3128i 1.03771 0.841148i
\(643\) −40.3294 + 23.2842i −1.59043 + 0.918238i −0.597203 + 0.802090i \(0.703721\pi\)
−0.993232 + 0.116148i \(0.962945\pi\)
\(644\) 3.16670 1.82829i 0.124785 0.0720448i
\(645\) 17.5464 + 6.72572i 0.690888 + 0.264825i
\(646\) −3.00570 + 5.20602i −0.118258 + 0.204828i
\(647\) 9.01192 0.354295 0.177148 0.984184i \(-0.443313\pi\)
0.177148 + 0.984184i \(0.443313\pi\)
\(648\) −26.3411 + 2.81990i −1.03478 + 0.110776i
\(649\) −0.530027 −0.0208054
\(650\) −2.86155 3.92562i −0.112239 0.153975i
\(651\) 2.17760 5.68102i 0.0853468 0.222657i
\(652\) −0.743272 + 0.429128i −0.0291088 + 0.0168060i
\(653\) −1.39222 2.41140i −0.0544820 0.0943655i 0.837498 0.546440i \(-0.184017\pi\)
−0.891980 + 0.452075i \(0.850684\pi\)
\(654\) −6.51732 8.04030i −0.254848 0.314401i
\(655\) −15.4618 8.92688i −0.604143 0.348802i
\(656\) 26.5659i 1.03722i
\(657\) −19.0883 + 21.2408i −0.744705 + 0.828683i
\(658\) 47.5797i 1.85485i
\(659\) 24.3369 42.1528i 0.948033 1.64204i 0.198471 0.980107i \(-0.436402\pi\)
0.749562 0.661934i \(-0.230264\pi\)
\(660\) 0.405149 0.0643694i 0.0157704 0.00250557i
\(661\) 17.4542 10.0772i 0.678889 0.391957i −0.120547 0.992708i \(-0.538465\pi\)
0.799436 + 0.600751i \(0.205132\pi\)
\(662\) 8.31923 + 14.4093i 0.323336 + 0.560035i
\(663\) −4.16439 1.10669i −0.161731 0.0429804i
\(664\) 4.19661 7.26874i 0.162860 0.282082i
\(665\) 30.4161i 1.17948i
\(666\) 31.0030 10.1065i 1.20134 0.391619i
\(667\) −23.4374 −0.907498
\(668\) −2.01466 1.16317i −0.0779497 0.0450043i
\(669\) 23.9091 19.3803i 0.924379 0.749285i
\(670\) 12.7422 7.35669i 0.492273 0.284214i
\(671\) 6.47666 3.73930i 0.250029 0.144354i
\(672\) −3.03655 + 7.92188i −0.117137 + 0.305593i
\(673\) −6.19480 + 10.7297i −0.238792 + 0.413600i −0.960368 0.278735i \(-0.910085\pi\)
0.721576 + 0.692335i \(0.243418\pi\)
\(674\) 1.78745i 0.0688502i
\(675\) −0.264445 + 5.18942i −0.0101785 + 0.199741i
\(676\) 1.61221 + 1.77927i 0.0620080 + 0.0684336i
\(677\) −23.2146 + 40.2088i −0.892208 + 1.54535i −0.0549850 + 0.998487i \(0.517511\pi\)
−0.837223 + 0.546862i \(0.815822\pi\)
\(678\) −15.5849 5.97388i −0.598536 0.229425i
\(679\) 4.21094 + 7.29356i 0.161601 + 0.279901i
\(680\) −1.01548 1.75887i −0.0389420 0.0674495i
\(681\) −38.3346 + 31.0734i −1.46899 + 1.19073i
\(682\) −1.11740 0.645131i −0.0427875 0.0247034i
\(683\) 19.0750i 0.729884i 0.931030 + 0.364942i \(0.118911\pi\)
−0.931030 + 0.364942i \(0.881089\pi\)
\(684\) −3.50538 0.741563i −0.134032 0.0283544i
\(685\) 4.29750 0.164199
\(686\) −25.7452 + 44.5920i −0.982956 + 1.70253i
\(687\) 1.64490 + 10.3532i 0.0627570 + 0.395000i
\(688\) 19.5094 + 33.7913i 0.743789 + 1.28828i
\(689\) −2.08132 19.5078i −0.0792918 0.743189i
\(690\) 9.70065 1.54122i 0.369297 0.0586734i
\(691\) 14.9252 + 8.61704i 0.567779 + 0.327808i 0.756262 0.654269i \(-0.227024\pi\)
−0.188483 + 0.982077i \(0.560357\pi\)
\(692\) −4.00584 −0.152279
\(693\) 3.74521 17.7037i 0.142269 0.672507i
\(694\) 34.1964i 1.29808i
\(695\) 0.133706 + 0.0771951i 0.00507175 + 0.00292818i
\(696\) 22.0541 17.8767i 0.835958 0.677613i
\(697\) −4.41380 + 2.54831i −0.167185 + 0.0965242i
\(698\) 8.89404 + 15.4049i 0.336645 + 0.583085i
\(699\) 5.42453 14.1518i 0.205175 0.535269i
\(700\) 0.752363 + 0.434377i 0.0284367 + 0.0164179i
\(701\) −37.1790 −1.40423 −0.702116 0.712063i \(-0.747761\pi\)
−0.702116 + 0.712063i \(0.747761\pi\)
\(702\) 1.39707 + 25.2036i 0.0527290 + 0.951247i
\(703\) 52.1676 1.96754
\(704\) 9.54637 + 5.51160i 0.359792 + 0.207726i
\(705\) −4.65427 + 12.1423i −0.175290 + 0.457304i
\(706\) −6.29581 10.9047i −0.236946 0.410403i
\(707\) 15.1263 8.73319i 0.568884 0.328446i
\(708\) −0.102716 + 0.0832600i −0.00386032 + 0.00312910i
\(709\) −4.67297 2.69794i −0.175497 0.101323i 0.409678 0.912230i \(-0.365641\pi\)
−0.585175 + 0.810907i \(0.698974\pi\)
\(710\) 7.81811i 0.293409i
\(711\) 13.8019 4.49922i 0.517612 0.168734i
\(712\) 31.6037 1.18440
\(713\) 2.72209 + 1.57160i 0.101943 + 0.0588570i
\(714\) −7.47995 + 1.18840i −0.279930 + 0.0444748i
\(715\) −0.490515 4.59752i −0.0183442 0.171937i
\(716\) 1.43906 + 2.49252i 0.0537801 + 0.0931499i
\(717\) −7.65255 48.1661i −0.285790 1.79880i
\(718\) −19.9420 + 34.5406i −0.744229 + 1.28904i
\(719\) −13.0486 −0.486630 −0.243315 0.969947i \(-0.578235\pi\)
−0.243315 + 0.969947i \(0.578235\pi\)
\(720\) −7.21185 + 8.02510i −0.268770 + 0.299078i
\(721\) 49.8348i 1.85594i
\(722\) 26.6206 + 15.3694i 0.990715 + 0.571989i
\(723\) −3.94308 + 3.19619i −0.146645 + 0.118868i
\(724\) 2.18387 + 3.78258i 0.0811630 + 0.140578i
\(725\) −2.78420 4.82237i −0.103402 0.179098i
\(726\) 20.3862 + 7.81427i 0.756604 + 0.290015i
\(727\) 13.1337 22.7482i 0.487102 0.843685i −0.512788 0.858515i \(-0.671387\pi\)
0.999890 + 0.0148298i \(0.00472065\pi\)
\(728\) 45.6362 + 20.2328i 1.69139 + 0.749878i
\(729\) 15.8070 21.8892i 0.585444 0.810713i
\(730\) 12.8255i 0.474693i
\(731\) 3.74284 6.48280i 0.138434 0.239775i
\(732\) 0.667748 1.74205i 0.0246807 0.0643880i
\(733\) −0.173348 + 0.100083i −0.00640277 + 0.00369664i −0.503198 0.864171i \(-0.667843\pi\)
0.496795 + 0.867868i \(0.334510\pi\)
\(734\) −21.8617 + 12.6218i −0.806929 + 0.465881i
\(735\) 20.3509 16.4960i 0.750653 0.608466i
\(736\) −3.79582 2.19152i −0.139916 0.0807804i
\(737\) 14.0038 0.515838
\(738\) 22.2071 + 19.9566i 0.817453 + 0.734613i
\(739\) 18.4711i 0.679469i 0.940521 + 0.339734i \(0.110337\pi\)
−0.940521 + 0.339734i \(0.889663\pi\)
\(740\) −0.745014 + 1.29040i −0.0273873 + 0.0474361i
\(741\) −10.3718 + 39.0281i −0.381017 + 1.43373i
\(742\) −17.2417 29.8635i −0.632962 1.09632i
\(743\) 39.2169 22.6419i 1.43873 0.830651i 0.440969 0.897523i \(-0.354635\pi\)
0.997762 + 0.0668712i \(0.0213017\pi\)
\(744\) −3.76017 + 0.597409i −0.137854 + 0.0219021i
\(745\) 4.64667 8.04826i 0.170241 0.294865i
\(746\) 19.2112i 0.703372i
\(747\) 2.65126 + 8.13306i 0.0970045 + 0.297573i
\(748\) 0.163420i 0.00597521i
\(749\) 59.0806 + 34.1102i 2.15876 + 1.24636i
\(750\) 1.46949 + 1.81288i 0.0536580 + 0.0661969i
\(751\) 1.17321 + 2.03207i 0.0428112 + 0.0741511i 0.886637 0.462466i \(-0.153035\pi\)
−0.843826 + 0.536617i \(0.819702\pi\)
\(752\) −23.3839 + 13.5007i −0.852724 + 0.492320i
\(753\) 9.15553 23.8854i 0.333646 0.870431i
\(754\) −15.9342 21.8594i −0.580291 0.796072i
\(755\) −7.09239 −0.258119
\(756\) −2.05521 4.01920i −0.0747471 0.146177i
\(757\) 16.5812 0.602655 0.301328 0.953521i \(-0.402570\pi\)
0.301328 + 0.953521i \(0.402570\pi\)
\(758\) −1.43427 + 2.48423i −0.0520951 + 0.0902313i
\(759\) 8.72933 + 3.34605i 0.316855 + 0.121454i
\(760\) −16.4839 + 9.51699i −0.597934 + 0.345217i
\(761\) 33.9243 19.5862i 1.22976 0.709999i 0.262776 0.964857i \(-0.415362\pi\)
0.966979 + 0.254857i \(0.0820285\pi\)
\(762\) −19.5033 + 15.8090i −0.706528 + 0.572699i
\(763\) 10.4307 18.0665i 0.377617 0.654051i
\(764\) 0.124714 0.00451198
\(765\) 2.02512 + 0.428414i 0.0732185 + 0.0154893i
\(766\) 16.4041 0.592703
\(767\) 0.877840 + 1.20426i 0.0316970 + 0.0434834i
\(768\) 7.51591 1.19412i 0.271207 0.0430889i
\(769\) −11.5984 + 6.69637i −0.418251 + 0.241477i −0.694329 0.719658i \(-0.744299\pi\)
0.276078 + 0.961135i \(0.410965\pi\)
\(770\) −4.06344 7.03808i −0.146436 0.253635i
\(771\) −29.1565 + 4.63233i −1.05004 + 0.166829i
\(772\) 2.35000 + 1.35677i 0.0845785 + 0.0488314i
\(773\) 1.74544i 0.0627792i 0.999507 + 0.0313896i \(0.00999327\pi\)
−0.999507 + 0.0313896i \(0.990007\pi\)
\(774\) −42.9026 9.07603i −1.54210 0.326231i