Properties

Label 585.2.bt.b.571.16
Level $585$
Weight $2$
Character 585.571
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 571.16
Character \(\chi\) \(=\) 585.571
Dual form 585.2.bt.b.376.16

$q$-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 \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

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

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 −0.852161 0.523279i \(-0.824709\pi\)
0.0270923 + 0.999633i \(0.491375\pi\)
\(3\) 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 −0.540788 + 0.841159i \(0.681874\pi\)
−0.998859 + 0.0477566i \(0.984793\pi\)
\(8\) 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 −0.657990 0.753027i \(-0.728593\pi\)
0.323145 + 0.946349i \(0.395260\pi\)
\(12\) −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 \(-0.733997\pi\)
0.670678 0.741749i \(-0.266003\pi\)
\(20\) −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 −0.997599 0.0692600i \(-0.977936\pi\)
0.558780 + 0.829316i \(0.311270\pi\)
\(24\) 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 0.999805 + 0.0197568i \(0.00628921\pi\)
−0.482792 + 0.875735i \(0.660377\pi\)
\(30\) −0.835255 2.17905i −0.152496 0.397838i
\(31\) −0.646732 0.373391i −0.116157 0.0670630i 0.440796 0.897607i \(-0.354696\pi\)
−0.556953 + 0.830544i \(0.688030\pi\)
\(32\) 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 \(0.230777\pi\)
−0.748494 + 0.663141i \(0.769223\pi\)
\(38\) 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 0.907965 0.419046i \(-0.137635\pi\)
0.0910779 + 0.995844i \(0.470969\pi\)
\(42\) 10.8408 + 1.72237i 1.67277 + 0.265767i
\(43\) −5.42456 9.39562i −0.827238 1.43282i −0.900197 0.435483i \(-0.856578\pi\)
0.0729590 0.997335i \(-0.476756\pi\)
\(44\) 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 −0.892582 0.450885i \(-0.851108\pi\)
−0.0558127 + 0.998441i \(0.517775\pi\)
\(48\) −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 0.523119 0.852259i \(-0.324768\pi\)
−0.476519 + 0.879164i \(0.658102\pi\)
\(60\) −0.248514 0.201441i −0.0320830 0.0260059i
\(61\) −2.91595 5.05058i −0.373350 0.646661i 0.616729 0.787176i \(-0.288457\pi\)
−0.990079 + 0.140515i \(0.955124\pi\)
\(62\) 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 −0.205200 0.978720i \(-0.565784\pi\)
−0.950196 + 0.311652i \(0.899118\pi\)
\(68\) 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 \(-0.888108\pi\)
0.938851 0.344325i \(-0.111892\pi\)
\(72\) 5.90245 + 6.56806i 0.695611 + 0.774053i
\(73\) 9.51919i 1.11414i 0.830467 + 0.557068i \(0.188074\pi\)
−0.830467 + 0.557068i \(0.811926\pi\)
\(74\) −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 0.697217 0.716860i \(-0.254421\pi\)
−0.969427 + 0.245378i \(0.921088\pi\)
\(80\) 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 −0.629366 0.777109i \(-0.716685\pi\)
0.358313 + 0.933602i \(0.383352\pi\)
\(84\) 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 \(0.192687\pi\)
−0.822306 + 0.569045i \(0.807313\pi\)
\(90\) 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 −0.576650 0.816991i \(-0.695640\pi\)
0.419210 + 0.907889i \(0.362307\pi\)
\(98\) 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 0.758746 0.651387i \(-0.225813\pi\)
−0.943491 + 0.331399i \(0.892479\pi\)
\(102\) 1.25085 + 1.01392i 0.123853 + 0.100393i
\(103\) −5.29740 + 9.17537i −0.521969 + 0.904076i 0.477705 + 0.878520i \(0.341469\pi\)
−0.999673 + 0.0255558i \(0.991864\pi\)
\(104\) −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 \(-0.931871\pi\)
0.977182 0.212403i \(-0.0681290\pi\)
\(110\) 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 −0.647345 0.762197i \(-0.724121\pi\)
0.983755 + 0.179519i \(0.0574540\pi\)
\(114\) −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 0.152028 + 0.988376i \(0.451420\pi\)
−0.931973 + 0.362528i \(0.881914\pi\)
\(132\) 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 −0.332517 0.943097i \(-0.607898\pi\)
0.650488 + 0.759517i \(0.274565\pi\)
\(138\) 9.17162 3.51559i 0.780740 0.299267i
\(139\) 0.0771951 0.133706i 0.00654761 0.0113408i −0.862733 0.505660i \(-0.831249\pi\)
0.869281 + 0.494319i \(0.164582\pi\)
\(140\) 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 0.792025 0.610488i \(-0.209027\pi\)
−0.132686 + 0.991158i \(0.542360\pi\)
\(150\) 0.366173 2.30474i 0.0298979 0.188181i
\(151\) −6.14219 + 3.54620i −0.499845 + 0.288585i −0.728649 0.684887i \(-0.759852\pi\)
0.228805 + 0.973472i \(0.426518\pi\)
\(152\) −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 0.462751 + 0.886488i \(0.346862\pi\)
−0.999097 + 0.0424895i \(0.986471\pi\)
\(158\) 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 \(0.0582523\pi\)
−0.983301 + 0.181985i \(0.941748\pi\)
\(164\) −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 0.858651 0.512561i \(-0.171303\pi\)
−0.0145650 + 0.999894i \(0.504636\pi\)
\(168\) −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 0.902313 + 0.431082i \(0.141868\pi\)
−0.0778279 + 0.996967i \(0.524798\pi\)
\(174\) 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 0.853552 0.521007i \(-0.174444\pi\)
−0.877982 + 0.478694i \(0.841110\pi\)
\(192\) −5.32896 13.9024i −0.384584 1.00332i
\(193\) −12.7236 7.34599i −0.915867 0.528776i −0.0335526 0.999437i \(-0.510682\pi\)
−0.882314 + 0.470661i \(0.844015\pi\)
\(194\) 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 \(0.0297103\pi\)
−0.995647 + 0.0932021i \(0.970290\pi\)
\(198\) 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 −0.987226 0.159324i \(-0.949069\pi\)
0.631592 + 0.775301i \(0.282402\pi\)
\(212\) 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 0.113371 0.993553i \(-0.463835\pi\)
0.917128 + 0.398594i \(0.130502\pi\)
\(224\) −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 −0.655981 + 0.754777i \(0.727745\pi\)
−0.981647 + 0.190707i \(0.938922\pi\)
\(228\) −0.324589 + 2.04300i −0.0214964 + 0.135301i
\(229\) −5.24154 3.02620i −0.346371 0.199977i 0.316715 0.948521i \(-0.397420\pi\)
−0.663086 + 0.748544i \(0.730753\pi\)
\(230\) 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 0.995229 + 0.0975716i \(0.0311075\pi\)
0.582114 + 0.813107i \(0.302226\pi\)
\(240\) −5.81664 + 2.22958i −0.375462 + 0.143919i
\(241\) −2.53789 + 1.46525i −0.163480 + 0.0943852i −0.579508 0.814967i \(-0.696755\pi\)
0.416028 + 0.909352i \(0.363422\pi\)
\(242\) 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 0.467712 + 0.883881i \(0.345078\pi\)
−0.999319 + 0.0368900i \(0.988255\pi\)
\(258\) −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 0.613949 0.789346i \(-0.289580\pi\)
−0.990568 + 0.137023i \(0.956247\pi\)
\(264\) −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 \(0.0372561\pi\)
−0.993158 + 0.116776i \(0.962744\pi\)
\(272\) −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 0.910140 + 0.414301i \(0.135974\pi\)
−0.0962743 + 0.995355i \(0.530693\pi\)
\(278\) 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 −0.275535 0.961291i \(-0.588855\pi\)
0.694735 + 0.719266i \(0.255522\pi\)
\(282\) 17.3033 + 2.74912i 1.03040 + 0.163708i
\(283\) 12.1427 21.0317i 0.721807 1.25021i −0.238468 0.971150i \(-0.576645\pi\)
0.960275 0.279056i \(-0.0900215\pi\)
\(284\) 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 −0.347617 0.937637i \(-0.613009\pi\)
−0.985826 + 0.167773i \(0.946342\pi\)
\(294\) −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 \(-0.830054\pi\)
0.860828 0.508896i \(-0.169946\pi\)
\(308\) 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 −0.259062 0.965861i \(-0.583413\pi\)
0.965991 0.258576i \(-0.0832533\pi\)
\(312\) −4.72124 17.7656i −0.267287 1.00578i
\(313\) 0.556344 + 0.963617i 0.0314464 + 0.0544668i 0.881320 0.472519i \(-0.156655\pi\)
−0.849874 + 0.526986i \(0.823322\pi\)
\(314\) 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 0.351010 0.936372i \(-0.385838\pi\)
0.986427 + 0.164203i \(0.0525051\pi\)
\(318\) 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 −0.764241 0.644931i \(-0.776886\pi\)
0.176406 + 0.984317i \(0.443553\pi\)
\(332\) 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 −0.883527 0.468381i \(-0.844838\pi\)
0.847393 + 0.530966i \(0.178171\pi\)
\(338\) 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 −0.293342 0.956008i \(-0.594767\pi\)
0.974598 0.223963i \(-0.0718993\pi\)
\(348\) −0.637576 1.66334i −0.0341776 0.0891642i
\(349\) −11.4337 + 6.60123i −0.612030 + 0.353355i −0.773759 0.633480i \(-0.781626\pi\)
0.161730 + 0.986835i \(0.448293\pi\)
\(350\) 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 −0.268902 0.963168i \(-0.586661\pi\)
0.699677 + 0.714460i \(0.253327\pi\)
\(354\) −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 \(0.285378\pi\)
−0.624315 + 0.781172i \(0.714622\pi\)
\(360\) 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 0.999920 0.0126473i \(-0.00402586\pi\)
−0.510913 + 0.859633i \(0.670693\pi\)
\(368\) −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 −0.620288 0.784374i \(-0.712984\pi\)
0.989432 + 0.144998i \(0.0463177\pi\)
\(374\) −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 \(0.0174142\pi\)
−0.998504 + 0.0546811i \(0.982586\pi\)
\(380\) 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 0.205807 0.978593i \(-0.434018\pi\)
−0.744583 + 0.667530i \(0.767352\pi\)
\(384\) 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 0.984103 + 0.177600i \(0.0568333\pi\)
−0.338245 + 0.941058i \(0.609833\pi\)
\(390\) −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 \(-0.845514\pi\)
0.884520 0.466502i \(-0.154486\pi\)
\(398\) −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 0.573604 0.819132i \(-0.305545\pi\)
−0.422587 + 0.906322i \(0.638878\pi\)
\(402\) 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 0.647420 0.762133i \(-0.275848\pi\)
−0.336317 + 0.941749i \(0.609181\pi\)
\(410\) −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 −0.996788 0.0800910i \(-0.974479\pi\)
0.567755 + 0.823198i \(0.307812\pi\)
\(420\) 1.48609 + 0.236107i 0.0725136 + 0.0115209i
\(421\) 13.8198 7.97886i 0.673536 0.388866i −0.123879 0.992297i \(-0.539534\pi\)
0.797415 + 0.603431i \(0.206200\pi\)
\(422\) 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 \(0.0181356\pi\)
−0.998377 + 0.0569440i \(0.981864\pi\)
\(432\) −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 0.994761 + 0.102233i \(0.0325986\pi\)
−0.408844 + 0.912604i \(0.634068\pi\)
\(440\) 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 0.999743 + 0.0226659i \(0.00721539\pi\)
−0.480242 + 0.877136i \(0.659451\pi\)
\(444\) 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 \(-0.899153\pi\)
0.950231 0.311546i \(-0.100847\pi\)
\(450\) 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 −0.126261 0.991997i \(-0.540298\pi\)
0.795964 + 0.605344i \(0.206964\pi\)
\(458\) 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 −0.994931 0.100563i \(-0.967935\pi\)
−0.410375 + 0.911917i \(0.634602\pi\)
\(462\) −13.1437 + 5.03812i −0.611499 + 0.234394i
\(463\) 28.0327 + 16.1847i 1.30279 + 0.752167i 0.980882 0.194603i \(-0.0623419\pi\)
0.321910 + 0.946770i \(0.395675\pi\)
\(464\) −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 −0.818628 0.574325i \(-0.805265\pi\)
0.0880661 + 0.996115i \(0.471931\pi\)
\(480\) −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 \(0.310295\pi\)
−0.561317 + 0.827601i \(0.689705\pi\)
\(488\) −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 0.440508 + 0.897749i \(0.354798\pi\)
−0.997727 + 0.0673836i \(0.978535\pi\)
\(492\) −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 0.629240 0.777211i \(-0.283366\pi\)
−0.358464 + 0.933544i \(0.616699\pi\)
\(500\) −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 −0.174341 0.984685i \(-0.555779\pi\)
−0.939933 + 0.341359i \(0.889113\pi\)
\(510\) 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 \(-0.926812\pi\)
0.973683 0.227905i \(-0.0731877\pi\)
\(542\) −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 −0.997751 0.0670308i \(-0.978647\pi\)
0.440825 0.897593i \(-0.354686\pi\)
\(548\) 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 \(-0.749421\pi\)
0.705819 0.708392i \(-0.250579\pi\)
\(558\) −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 −0.964801 0.262981i \(-0.915294\pi\)
0.710148 + 0.704052i \(0.248628\pi\)
\(564\) 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 0.799430 0.600759i \(-0.205135\pi\)
−0.919988 + 0.391947i \(0.871802\pi\)
\(570\) −14.0906 + 5.40111i −0.590192 + 0.226227i
\(571\) 3.34805 5.79900i 0.140112 0.242681i −0.787427 0.616408i \(-0.788587\pi\)
0.927539 + 0.373728i \(0.121921\pi\)
\(572\) −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 \(0.144421\pi\)
−0.898827 + 0.438304i \(0.855579\pi\)
\(578\) 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 −0.746692 0.665170i \(-0.768359\pi\)
0.202709 + 0.979239i \(0.435026\pi\)
\(588\) −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 \(-0.776264\pi\)
0.762979 0.646423i \(-0.223736\pi\)
\(594\) −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 −0.929098 0.369833i \(-0.879415\pi\)
0.784834 + 0.619706i \(0.212748\pi\)
\(600\) 3.96059 + 3.21038i 0.161690 + 0.131063i
\(601\) −0.0378043 0.0654790i −0.00154207 0.00267094i 0.865253 0.501335i \(-0.167158\pi\)
−0.866795 + 0.498664i \(0.833824\pi\)
\(602\) −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 −0.109735 + 0.993961i \(0.535000\pi\)
−0.805928 + 0.592014i \(0.798333\pi\)
\(608\) 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 \(-0.879865\pi\)
0.929620 0.368519i \(-0.120135\pi\)
\(614\) 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 0.354455 0.935073i \(-0.384667\pi\)
−0.632570 + 0.774503i \(0.718000\pi\)
\(618\) 23.0866 8.84936i 0.928680 0.355974i
\(619\) −3.59308 + 2.07447i −0.144418 + 0.0833799i −0.570468 0.821320i \(-0.693238\pi\)
0.426050 + 0.904700i \(0.359905\pi\)
\(620\) 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 \(-0.603880\pi\)
0.320586 0.947219i \(-0.396120\pi\)
\(632\) −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 −0.848497 0.529200i \(-0.822492\pi\)
−0.0340518 0.999420i \(-0.510841\pi\)
\(642\) 26.2932 + 21.3128i 1.03771 + 0.841148i
\(643\) −40.3294 23.2842i −1.59043 0.918238i −0.993232 0.116148i \(-0.962945\pi\)
−0.597203 0.802090i \(-0.703721\pi\)
\(644\) 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 −0.891980 0.452075i \(-0.850684\pi\)
0.837498 + 0.546440i \(0.184017\pi\)
\(654\) −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 0.749562 + 0.661934i \(0.230264\pi\)
0.198471 + 0.980107i \(0.436402\pi\)
\(660\) 0.405149 + 0.0643694i 0.0157704 + 0.00250557i
\(661\) 17.4542 + 10.0772i 0.678889 + 0.391957i 0.799436 0.600751i \(-0.205132\pi\)
−0.120547 + 0.992708i \(0.538465\pi\)
\(662\) 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 0.721576 0.692335i \(-0.243418\pi\)
−0.960368 + 0.278735i \(0.910085\pi\)
\(674\) 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 −0.837223 0.546862i \(-0.815822\pi\)
−0.0549850 0.998487i \(-0.517511\pi\)
\(678\) −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 \(-0.881089\pi\)
0.931030 0.364942i \(-0.118911\pi\)
\(684\) −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 −0.188483 0.982077i \(-0.560357\pi\)
0.756262 + 0.654269i \(0.227024\pi\)
\(692\) −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 −0.585175 0.810907i \(-0.698974\pi\)
0.409678 + 0.912230i \(0.365641\pi\)
\(710\) 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 0.999890 0.0148298i \(-0.00472065\pi\)
−0.512788 + 0.858515i \(0.671387\pi\)
\(728\) 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 0.496795 0.867868i \(-0.334510\pi\)
−0.503198 + 0.864171i \(0.667843\pi\)
\(734\) −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 \(-0.889663\pi\)
0.940521 0.339734i \(-0.110337\pi\)
\(740\) −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 0.997762 0.0668712i \(-0.0213017\pi\)
0.440969 + 0.897523i \(0.354635\pi\)
\(744\) −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 −0.843826 0.536617i \(-0.819702\pi\)
0.886637 + 0.462466i \(0.153035\pi\)
\(752\) −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 0.966979 0.254857i \(-0.0820285\pi\)
0.262776 + 0.964857i \(0.415362\pi\)
\(762\) −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 0.276078 0.961135i \(-0.410965\pi\)
−0.694329 + 0.719658i \(0.744299\pi\)
\(770\) −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 \(-0.990007\pi\)
0.999507 0.0313896i \(-0.00999327\pi\)
\(774\) −42.9026 + 9.07603i −1.54210 +