Properties

Label 585.2.bt.b.376.12
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

Related objects

Downloads

Learn more

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 376.12
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.62679 - 0.939229i) q^{2} +(-1.72455 + 0.161066i) q^{3} +(0.764302 + 1.32381i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(2.95676 + 1.35772i) q^{6} +(1.80641 + 1.04293i) q^{7} +0.885499i q^{8} +(2.94812 - 0.555532i) q^{9} +O(q^{10})\) \(q+(-1.62679 - 0.939229i) q^{2} +(-1.72455 + 0.161066i) q^{3} +(0.764302 + 1.32381i) q^{4} +(-0.866025 + 0.500000i) q^{5} +(2.95676 + 1.35772i) q^{6} +(1.80641 + 1.04293i) q^{7} +0.885499i q^{8} +(2.94812 - 0.555532i) q^{9} +1.87846 q^{10} +(-4.07120 - 2.35051i) q^{11} +(-1.53129 - 2.15987i) q^{12} +(-0.125111 + 3.60338i) q^{13} +(-1.95910 - 3.39326i) q^{14} +(1.41297 - 1.00176i) q^{15} +(2.36029 - 4.08814i) q^{16} +4.67113 q^{17} +(-5.31774 - 1.86522i) q^{18} -4.04179i q^{19} +(-1.32381 - 0.764302i) q^{20} +(-3.28322 - 1.50763i) q^{21} +(4.41533 + 7.64758i) q^{22} +(-2.18398 - 3.78277i) q^{23} +(-0.142624 - 1.52708i) q^{24} +(0.500000 - 0.866025i) q^{25} +(3.58793 - 5.74444i) q^{26} +(-4.99468 + 1.43288i) q^{27} +3.18845i q^{28} +(-1.28426 + 2.22441i) q^{29} +(-3.23949 + 0.302556i) q^{30} +(-0.329654 + 0.190326i) q^{31} +(-6.14567 + 3.54820i) q^{32} +(7.39956 + 3.39783i) q^{33} +(-7.59895 - 4.38726i) q^{34} -2.08586 q^{35} +(2.98867 + 3.47815i) q^{36} +3.79577i q^{37} +(-3.79617 + 6.57516i) q^{38} +(-0.364623 - 6.23434i) q^{39} +(-0.442749 - 0.766865i) q^{40} +(-10.4550 + 6.03621i) q^{41} +(3.92510 + 5.53629i) q^{42} +(-2.00139 + 3.46651i) q^{43} -7.18599i q^{44} +(-2.27538 + 1.95516i) q^{45} +8.20503i q^{46} +(0.347660 + 0.200722i) q^{47} +(-3.41197 + 7.43035i) q^{48} +(-1.32459 - 2.29426i) q^{49} +(-1.62679 + 0.939229i) q^{50} +(-8.05557 + 0.752361i) q^{51} +(-4.86581 + 2.58845i) q^{52} -12.5055 q^{53} +(9.47111 + 2.36015i) q^{54} +4.70102 q^{55} +(-0.923514 + 1.59957i) q^{56} +(0.650996 + 6.97025i) q^{57} +(4.17845 - 2.41243i) q^{58} +(6.53793 - 3.77468i) q^{59} +(2.40607 + 1.10485i) q^{60} +(-1.68660 + 2.92128i) q^{61} +0.715038 q^{62} +(5.90488 + 2.07116i) q^{63} +3.88915 q^{64} +(-1.69334 - 3.18317i) q^{65} +(-8.84621 - 12.4774i) q^{66} +(-9.00690 + 5.20013i) q^{67} +(3.57015 + 6.18368i) q^{68} +(4.37565 + 6.17179i) q^{69} +(3.39326 + 1.95910i) q^{70} -5.42477i q^{71} +(0.491923 + 2.61055i) q^{72} -1.66754i q^{73} +(3.56510 - 6.17493i) q^{74} +(-0.722785 + 1.57403i) q^{75} +(5.35056 - 3.08915i) q^{76} +(-4.90284 - 8.49196i) q^{77} +(-5.26231 + 10.4844i) q^{78} +(-0.531415 + 0.920437i) q^{79} +4.72058i q^{80} +(8.38277 - 3.27555i) q^{81} +22.6775 q^{82} +(1.57473 + 0.909171i) q^{83} +(-0.513552 - 5.49863i) q^{84} +(-4.04531 + 2.33556i) q^{85} +(6.51170 - 3.75953i) q^{86} +(1.85649 - 4.04294i) q^{87} +(2.08137 - 3.60504i) q^{88} -7.99178i q^{89} +(5.53791 - 1.04354i) q^{90} +(-3.98408 + 6.37869i) q^{91} +(3.33844 - 5.78235i) q^{92} +(0.537849 - 0.381322i) q^{93} +(-0.377047 - 0.653065i) q^{94} +(2.02090 + 3.50029i) q^{95} +(10.0270 - 7.10890i) q^{96} +(-14.4483 - 8.34172i) q^{97} +4.97638i q^{98} +(-13.3082 - 4.66789i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.62679 0.939229i −1.15032 0.664135i −0.201352 0.979519i \(-0.564533\pi\)
−0.948964 + 0.315384i \(0.897867\pi\)
\(3\) −1.72455 + 0.161066i −0.995667 + 0.0929916i
\(4\) 0.764302 + 1.32381i 0.382151 + 0.661905i
\(5\) −0.866025 + 0.500000i −0.387298 + 0.223607i
\(6\) 2.95676 + 1.35772i 1.20709 + 0.554288i
\(7\) 1.80641 + 1.04293i 0.682758 + 0.394191i 0.800893 0.598807i \(-0.204358\pi\)
−0.118135 + 0.992998i \(0.537692\pi\)
\(8\) 0.885499i 0.313071i
\(9\) 2.94812 0.555532i 0.982705 0.185177i
\(10\) 1.87846 0.594020
\(11\) −4.07120 2.35051i −1.22751 0.708705i −0.261004 0.965338i \(-0.584054\pi\)
−0.966509 + 0.256632i \(0.917387\pi\)
\(12\) −1.53129 2.15987i −0.442046 0.623500i
\(13\) −0.125111 + 3.60338i −0.0346995 + 0.999398i
\(14\) −1.95910 3.39326i −0.523592 0.906887i
\(15\) 1.41297 1.00176i 0.364827 0.258653i
\(16\) 2.36029 4.08814i 0.590072 1.02204i
\(17\) 4.67113 1.13291 0.566457 0.824091i \(-0.308314\pi\)
0.566457 + 0.824091i \(0.308314\pi\)
\(18\) −5.31774 1.86522i −1.25340 0.439636i
\(19\) 4.04179i 0.927251i −0.886031 0.463625i \(-0.846548\pi\)
0.886031 0.463625i \(-0.153452\pi\)
\(20\) −1.32381 0.764302i −0.296013 0.170903i
\(21\) −3.28322 1.50763i −0.716456 0.328992i
\(22\) 4.41533 + 7.64758i 0.941352 + 1.63047i
\(23\) −2.18398 3.78277i −0.455392 0.788762i 0.543319 0.839526i \(-0.317167\pi\)
−0.998711 + 0.0507648i \(0.983834\pi\)
\(24\) −0.142624 1.52708i −0.0291130 0.311715i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 3.58793 5.74444i 0.703651 1.12658i
\(27\) −4.99468 + 1.43288i −0.961227 + 0.275758i
\(28\) 3.18845i 0.602561i
\(29\) −1.28426 + 2.22441i −0.238481 + 0.413062i −0.960279 0.279043i \(-0.909983\pi\)
0.721797 + 0.692104i \(0.243316\pi\)
\(30\) −3.23949 + 0.302556i −0.591447 + 0.0552389i
\(31\) −0.329654 + 0.190326i −0.0592076 + 0.0341835i −0.529312 0.848428i \(-0.677550\pi\)
0.470104 + 0.882611i \(0.344216\pi\)
\(32\) −6.14567 + 3.54820i −1.08641 + 0.627240i
\(33\) 7.39956 + 3.39783i 1.28810 + 0.591486i
\(34\) −7.59895 4.38726i −1.30321 0.752408i
\(35\) −2.08586 −0.352575
\(36\) 2.98867 + 3.47815i 0.498111 + 0.579691i
\(37\) 3.79577i 0.624021i 0.950079 + 0.312011i \(0.101002\pi\)
−0.950079 + 0.312011i \(0.898998\pi\)
\(38\) −3.79617 + 6.57516i −0.615820 + 1.06663i
\(39\) −0.364623 6.23434i −0.0583865 0.998294i
\(40\) −0.442749 0.766865i −0.0700048 0.121252i
\(41\) −10.4550 + 6.03621i −1.63280 + 0.942698i −0.649576 + 0.760297i \(0.725053\pi\)
−0.983224 + 0.182401i \(0.941613\pi\)
\(42\) 3.92510 + 5.53629i 0.605656 + 0.854268i
\(43\) −2.00139 + 3.46651i −0.305210 + 0.528639i −0.977308 0.211823i \(-0.932060\pi\)
0.672098 + 0.740462i \(0.265393\pi\)
\(44\) 7.18599i 1.08333i
\(45\) −2.27538 + 1.95516i −0.339193 + 0.291458i
\(46\) 8.20503i 1.20977i
\(47\) 0.347660 + 0.200722i 0.0507114 + 0.0292783i 0.525141 0.851015i \(-0.324012\pi\)
−0.474430 + 0.880293i \(0.657346\pi\)
\(48\) −3.41197 + 7.43035i −0.492475 + 1.07248i
\(49\) −1.32459 2.29426i −0.189227 0.327751i
\(50\) −1.62679 + 0.939229i −0.230063 + 0.132827i
\(51\) −8.05557 + 0.752361i −1.12801 + 0.105352i
\(52\) −4.86581 + 2.58845i −0.674766 + 0.358953i
\(53\) −12.5055 −1.71776 −0.858880 0.512178i \(-0.828839\pi\)
−0.858880 + 0.512178i \(0.828839\pi\)
\(54\) 9.47111 + 2.36015i 1.28886 + 0.321175i
\(55\) 4.70102 0.633885
\(56\) −0.923514 + 1.59957i −0.123410 + 0.213752i
\(57\) 0.650996 + 6.97025i 0.0862266 + 0.923233i
\(58\) 4.17845 2.41243i 0.548658 0.316768i
\(59\) 6.53793 3.77468i 0.851166 0.491421i −0.00987778 0.999951i \(-0.503144\pi\)
0.861044 + 0.508530i \(0.169811\pi\)
\(60\) 2.40607 + 1.10485i 0.310623 + 0.142636i
\(61\) −1.68660 + 2.92128i −0.215947 + 0.374032i −0.953565 0.301187i \(-0.902617\pi\)
0.737618 + 0.675218i \(0.235951\pi\)
\(62\) 0.715038 0.0908100
\(63\) 5.90488 + 2.07116i 0.743945 + 0.260942i
\(64\) 3.88915 0.486143
\(65\) −1.69334 3.18317i −0.210033 0.394824i
\(66\) −8.84621 12.4774i −1.08889 1.53587i
\(67\) −9.00690 + 5.20013i −1.10037 + 0.635297i −0.936318 0.351155i \(-0.885789\pi\)
−0.164050 + 0.986452i \(0.552456\pi\)
\(68\) 3.57015 + 6.18368i 0.432944 + 0.749881i
\(69\) 4.37565 + 6.17179i 0.526767 + 0.742996i
\(70\) 3.39326 + 1.95910i 0.405572 + 0.234157i
\(71\) 5.42477i 0.643801i −0.946773 0.321901i \(-0.895678\pi\)
0.946773 0.321901i \(-0.104322\pi\)
\(72\) 0.491923 + 2.61055i 0.0579737 + 0.307657i
\(73\) 1.66754i 0.195171i −0.995227 0.0975857i \(-0.968888\pi\)
0.995227 0.0975857i \(-0.0311120\pi\)
\(74\) 3.56510 6.17493i 0.414434 0.717821i
\(75\) −0.722785 + 1.57403i −0.0834601 + 0.181754i
\(76\) 5.35056 3.08915i 0.613751 0.354350i
\(77\) −4.90284 8.49196i −0.558730 0.967749i
\(78\) −5.26231 + 10.4844i −0.595839 + 1.18713i
\(79\) −0.531415 + 0.920437i −0.0597888 + 0.103557i −0.894371 0.447327i \(-0.852376\pi\)
0.834582 + 0.550884i \(0.185709\pi\)
\(80\) 4.72058i 0.527777i
\(81\) 8.38277 3.27555i 0.931419 0.363950i
\(82\) 22.6775 2.50431
\(83\) 1.57473 + 0.909171i 0.172849 + 0.0997945i 0.583929 0.811805i \(-0.301515\pi\)
−0.411079 + 0.911600i \(0.634848\pi\)
\(84\) −0.513552 5.49863i −0.0560331 0.599950i
\(85\) −4.04531 + 2.33556i −0.438776 + 0.253327i
\(86\) 6.51170 3.75953i 0.702175 0.405401i
\(87\) 1.85649 4.04294i 0.199037 0.433449i
\(88\) 2.08137 3.60504i 0.221875 0.384299i
\(89\) 7.99178i 0.847127i −0.905866 0.423564i \(-0.860779\pi\)
0.905866 0.423564i \(-0.139221\pi\)
\(90\) 5.53791 1.04354i 0.583747 0.109999i
\(91\) −3.98408 + 6.37869i −0.417645 + 0.668669i
\(92\) 3.33844 5.78235i 0.348057 0.602852i
\(93\) 0.537849 0.381322i 0.0557723 0.0395412i
\(94\) −0.377047 0.653065i −0.0388894 0.0673585i
\(95\) 2.02090 + 3.50029i 0.207340 + 0.359123i
\(96\) 10.0270 7.10890i 1.02338 0.725549i
\(97\) −14.4483 8.34172i −1.46700 0.846974i −0.467684 0.883896i \(-0.654911\pi\)
−0.999318 + 0.0369221i \(0.988245\pi\)
\(98\) 4.97638i 0.502690i
\(99\) −13.3082 4.66789i −1.33752 0.469140i
\(100\) 1.52860 0.152860
\(101\) −8.15236 + 14.1203i −0.811190 + 1.40502i 0.100842 + 0.994902i \(0.467846\pi\)
−0.912032 + 0.410119i \(0.865487\pi\)
\(102\) 13.8114 + 6.34209i 1.36753 + 0.627961i
\(103\) −3.55530 6.15796i −0.350314 0.606761i 0.635990 0.771697i \(-0.280592\pi\)
−0.986304 + 0.164935i \(0.947258\pi\)
\(104\) −3.19079 0.110786i −0.312883 0.0108634i
\(105\) 3.59716 0.335962i 0.351047 0.0327865i
\(106\) 20.3438 + 11.7455i 1.97597 + 1.14082i
\(107\) −7.92209 −0.765857 −0.382929 0.923778i \(-0.625085\pi\)
−0.382929 + 0.923778i \(0.625085\pi\)
\(108\) −5.71431 5.51685i −0.549859 0.530859i
\(109\) 1.36335i 0.130586i 0.997866 + 0.0652928i \(0.0207981\pi\)
−0.997866 + 0.0652928i \(0.979202\pi\)
\(110\) −7.64758 4.41533i −0.729168 0.420985i
\(111\) −0.611371 6.54598i −0.0580287 0.621317i
\(112\) 8.52729 4.92324i 0.805754 0.465202i
\(113\) −9.34075 16.1787i −0.878704 1.52196i −0.852764 0.522296i \(-0.825076\pi\)
−0.0259397 0.999664i \(-0.508258\pi\)
\(114\) 5.48763 11.9506i 0.513964 1.11928i
\(115\) 3.78277 + 2.18398i 0.352745 + 0.203657i
\(116\) −3.92625 −0.364543
\(117\) 1.63295 + 10.6927i 0.150966 + 0.988539i
\(118\) −14.1811 −1.30548
\(119\) 8.43796 + 4.87166i 0.773507 + 0.446584i
\(120\) 0.887058 + 1.25118i 0.0809769 + 0.114217i
\(121\) 5.54979 + 9.61251i 0.504526 + 0.873865i
\(122\) 5.48750 3.16821i 0.496815 0.286836i
\(123\) 17.0579 12.0937i 1.53806 1.09045i
\(124\) −0.503910 0.290933i −0.0452525 0.0261265i
\(125\) 1.00000i 0.0894427i
\(126\) −7.66072 8.91539i −0.682471 0.794246i
\(127\) −12.7088 −1.12773 −0.563864 0.825868i \(-0.690686\pi\)
−0.563864 + 0.825868i \(0.690686\pi\)
\(128\) 5.96451 + 3.44361i 0.527193 + 0.304375i
\(129\) 2.89316 6.30052i 0.254728 0.554730i
\(130\) −0.235016 + 6.76880i −0.0206122 + 0.593663i
\(131\) 3.48565 + 6.03733i 0.304543 + 0.527484i 0.977159 0.212507i \(-0.0681630\pi\)
−0.672617 + 0.739991i \(0.734830\pi\)
\(132\) 1.15742 + 12.3926i 0.100741 + 1.07863i
\(133\) 4.21531 7.30113i 0.365514 0.633088i
\(134\) 19.5365 1.68769
\(135\) 3.60908 3.73825i 0.310620 0.321738i
\(136\) 4.13628i 0.354683i
\(137\) 13.7983 + 7.96643i 1.17887 + 0.680618i 0.955752 0.294174i \(-0.0950445\pi\)
0.223114 + 0.974792i \(0.428378\pi\)
\(138\) −1.32155 14.1500i −0.112498 1.20452i
\(139\) −8.56894 14.8418i −0.726808 1.25887i −0.958226 0.286014i \(-0.907670\pi\)
0.231418 0.972854i \(-0.425664\pi\)
\(140\) −1.59423 2.76128i −0.134737 0.233371i
\(141\) −0.631885 0.290157i −0.0532143 0.0244356i
\(142\) −5.09510 + 8.82497i −0.427571 + 0.740575i
\(143\) 8.97913 14.3760i 0.750873 1.20218i
\(144\) 4.68731 13.3635i 0.390609 1.11363i
\(145\) 2.56852i 0.213304i
\(146\) −1.56621 + 2.71275i −0.129620 + 0.224509i
\(147\) 2.65385 + 3.74321i 0.218886 + 0.308735i
\(148\) −5.02488 + 2.90111i −0.413042 + 0.238470i
\(149\) 11.0141 6.35901i 0.902313 0.520950i 0.0243629 0.999703i \(-0.492244\pi\)
0.877950 + 0.478753i \(0.158911\pi\)
\(150\) 2.65420 1.88176i 0.216714 0.153645i
\(151\) −1.42753 0.824184i −0.116171 0.0670711i 0.440789 0.897611i \(-0.354699\pi\)
−0.556959 + 0.830540i \(0.688032\pi\)
\(152\) 3.57900 0.290295
\(153\) 13.7710 2.59496i 1.11332 0.209790i
\(154\) 18.4195i 1.48429i
\(155\) 0.190326 0.329654i 0.0152873 0.0264785i
\(156\) 7.97440 5.24761i 0.638463 0.420145i
\(157\) −5.45588 9.44986i −0.435427 0.754181i 0.561904 0.827203i \(-0.310069\pi\)
−0.997330 + 0.0730217i \(0.976736\pi\)
\(158\) 1.72900 0.998240i 0.137552 0.0794157i
\(159\) 21.5663 2.01421i 1.71032 0.159737i
\(160\) 3.54820 6.14567i 0.280510 0.485858i
\(161\) 9.11097i 0.718045i
\(162\) −16.7135 2.54471i −1.31314 0.199931i
\(163\) 9.00367i 0.705222i −0.935770 0.352611i \(-0.885294\pi\)
0.935770 0.352611i \(-0.114706\pi\)
\(164\) −15.9816 9.22697i −1.24795 0.720505i
\(165\) −8.10712 + 0.757175i −0.631138 + 0.0589460i
\(166\) −1.70784 2.95806i −0.132554 0.229590i
\(167\) 13.5198 7.80567i 1.04619 0.604021i 0.124613 0.992205i \(-0.460231\pi\)
0.921581 + 0.388185i \(0.126898\pi\)
\(168\) 1.33500 2.90728i 0.102998 0.224302i
\(169\) −12.9687 0.901644i −0.997592 0.0693573i
\(170\) 8.77451 0.672975
\(171\) −2.24535 11.9157i −0.171706 0.911214i
\(172\) −6.11867 −0.466544
\(173\) −10.8319 + 18.7615i −0.823537 + 1.42641i 0.0794956 + 0.996835i \(0.474669\pi\)
−0.903032 + 0.429572i \(0.858664\pi\)
\(174\) −6.81737 + 4.83335i −0.516824 + 0.366416i
\(175\) 1.80641 1.04293i 0.136552 0.0788381i
\(176\) −19.2184 + 11.0958i −1.44864 + 0.836375i
\(177\) −10.6670 + 7.56264i −0.801780 + 0.568443i
\(178\) −7.50611 + 13.0010i −0.562607 + 0.974463i
\(179\) −1.48557 −0.111037 −0.0555184 0.998458i \(-0.517681\pi\)
−0.0555184 + 0.998458i \(0.517681\pi\)
\(180\) −4.32734 1.51783i −0.322541 0.113132i
\(181\) 12.1657 0.904266 0.452133 0.891951i \(-0.350663\pi\)
0.452133 + 0.891951i \(0.350663\pi\)
\(182\) 12.4723 6.63485i 0.924510 0.491808i
\(183\) 2.43810 5.30954i 0.180230 0.392492i
\(184\) 3.34964 1.93391i 0.246938 0.142570i
\(185\) −1.89789 3.28724i −0.139535 0.241682i
\(186\) −1.23312 + 0.115169i −0.0904165 + 0.00844457i
\(187\) −19.0171 10.9795i −1.39067 0.802902i
\(188\) 0.613647i 0.0447548i
\(189\) −10.5168 2.62074i −0.764987 0.190630i
\(190\) 7.59234i 0.550806i
\(191\) −6.99657 + 12.1184i −0.506254 + 0.876857i 0.493720 + 0.869621i \(0.335637\pi\)
−0.999974 + 0.00723635i \(0.997697\pi\)
\(192\) −6.70701 + 0.626410i −0.484037 + 0.0452073i
\(193\) −16.5377 + 9.54803i −1.19041 + 0.687282i −0.958399 0.285431i \(-0.907863\pi\)
−0.232009 + 0.972714i \(0.574530\pi\)
\(194\) 15.6696 + 27.1405i 1.12501 + 1.94857i
\(195\) 3.43295 + 5.21679i 0.245838 + 0.373582i
\(196\) 2.02478 3.50701i 0.144627 0.250501i
\(197\) 8.76577i 0.624535i 0.949994 + 0.312268i \(0.101089\pi\)
−0.949994 + 0.312268i \(0.898911\pi\)
\(198\) 17.2654 + 20.0931i 1.22700 + 1.42795i
\(199\) 5.62103 0.398464 0.199232 0.979952i \(-0.436155\pi\)
0.199232 + 0.979952i \(0.436155\pi\)
\(200\) 0.766865 + 0.442749i 0.0542255 + 0.0313071i
\(201\) 14.6952 10.4186i 1.03652 0.734870i
\(202\) 26.5244 15.3139i 1.86625 1.07748i
\(203\) −4.63980 + 2.67879i −0.325650 + 0.188014i
\(204\) −7.15287 10.0890i −0.500801 0.706372i
\(205\) 6.03621 10.4550i 0.421587 0.730210i
\(206\) 13.3570i 0.930623i
\(207\) −8.54008 9.93876i −0.593577 0.690792i
\(208\) 14.4358 + 9.01649i 1.00094 + 0.625181i
\(209\) −9.50027 + 16.4549i −0.657147 + 1.13821i
\(210\) −6.16738 2.83202i −0.425590 0.195428i
\(211\) −6.41620 11.1132i −0.441710 0.765064i 0.556107 0.831111i \(-0.312295\pi\)
−0.997817 + 0.0660471i \(0.978961\pi\)
\(212\) −9.55795 16.5549i −0.656443 1.13699i
\(213\) 0.873747 + 9.35526i 0.0598681 + 0.641012i
\(214\) 12.8876 + 7.44066i 0.880978 + 0.508633i
\(215\) 4.00279i 0.272988i
\(216\) −1.26882 4.42279i −0.0863320 0.300932i
\(217\) −0.793987 −0.0538993
\(218\) 1.28050 2.21789i 0.0867264 0.150215i
\(219\) 0.268585 + 2.87576i 0.0181493 + 0.194326i
\(220\) 3.59300 + 6.22325i 0.242240 + 0.419572i
\(221\) −0.584409 + 16.8318i −0.0393116 + 1.13223i
\(222\) −5.15360 + 11.2232i −0.345887 + 0.753250i
\(223\) 15.1859 + 8.76758i 1.01692 + 0.587121i 0.913211 0.407487i \(-0.133595\pi\)
0.103712 + 0.994607i \(0.466928\pi\)
\(224\) −14.8021 −0.989009
\(225\) 0.992953 2.83091i 0.0661968 0.188727i
\(226\) 35.0924i 2.33431i
\(227\) −23.6392 13.6481i −1.56899 0.905856i −0.996287 0.0860927i \(-0.972562\pi\)
−0.572702 0.819764i \(-0.694105\pi\)
\(228\) −8.72973 + 6.18917i −0.578140 + 0.409888i
\(229\) −5.68727 + 3.28354i −0.375825 + 0.216983i −0.676000 0.736901i \(-0.736288\pi\)
0.300175 + 0.953884i \(0.402955\pi\)
\(230\) −4.10252 7.10577i −0.270512 0.468540i
\(231\) 9.82293 + 13.8551i 0.646301 + 0.911598i
\(232\) −1.96971 1.13721i −0.129318 0.0746616i
\(233\) 28.4893 1.86640 0.933198 0.359364i \(-0.117006\pi\)
0.933198 + 0.359364i \(0.117006\pi\)
\(234\) 7.38640 18.9285i 0.482864 1.23739i
\(235\) −0.401443 −0.0261873
\(236\) 9.99391 + 5.76998i 0.650548 + 0.375594i
\(237\) 0.768198 1.67293i 0.0498998 0.108668i
\(238\) −9.15121 15.8504i −0.593185 1.02743i
\(239\) −3.65328 + 2.10922i −0.236311 + 0.136434i −0.613480 0.789710i \(-0.710231\pi\)
0.377169 + 0.926144i \(0.376898\pi\)
\(240\) −0.760326 8.14085i −0.0490788 0.525490i
\(241\) −9.40687 5.43106i −0.605950 0.349845i 0.165429 0.986222i \(-0.447099\pi\)
−0.771379 + 0.636376i \(0.780433\pi\)
\(242\) 20.8501i 1.34029i
\(243\) −13.9289 + 6.99901i −0.893538 + 0.448987i
\(244\) −5.15629 −0.330098
\(245\) 2.29426 + 1.32459i 0.146575 + 0.0846251i
\(246\) −39.1084 + 3.65258i −2.49346 + 0.232880i
\(247\) 14.5641 + 0.505672i 0.926692 + 0.0321752i
\(248\) −0.168533 0.291908i −0.0107019 0.0185362i
\(249\) −2.86213 1.31427i −0.181380 0.0832885i
\(250\) 0.939229 1.62679i 0.0594020 0.102887i
\(251\) 17.3204 1.09325 0.546626 0.837377i \(-0.315912\pi\)
0.546626 + 0.837377i \(0.315912\pi\)
\(252\) 1.77129 + 9.39993i 0.111581 + 0.592140i
\(253\) 20.5339i 1.29095i
\(254\) 20.6746 + 11.9365i 1.29724 + 0.748963i
\(255\) 6.60015 4.67935i 0.413317 0.293032i
\(256\) −10.3578 17.9403i −0.647364 1.12127i
\(257\) 0.386111 + 0.668764i 0.0240849 + 0.0417163i 0.877817 0.478997i \(-0.158999\pi\)
−0.853732 + 0.520713i \(0.825666\pi\)
\(258\) −10.6242 + 7.53230i −0.661433 + 0.468941i
\(259\) −3.95873 + 6.85672i −0.245983 + 0.426056i
\(260\) 2.91969 4.67457i 0.181072 0.289904i
\(261\) −2.55042 + 7.27125i −0.157867 + 0.450079i
\(262\) 13.0953i 0.809031i
\(263\) −16.0948 + 27.8769i −0.992445 + 1.71897i −0.389970 + 0.920828i \(0.627515\pi\)
−0.602475 + 0.798138i \(0.705819\pi\)
\(264\) −3.00877 + 6.55230i −0.185177 + 0.403266i
\(265\) 10.8301 6.25274i 0.665285 0.384103i
\(266\) −13.7149 + 7.91828i −0.840912 + 0.485501i
\(267\) 1.28721 + 13.7822i 0.0787757 + 0.843456i
\(268\) −13.7680 7.94894i −0.841013 0.485559i
\(269\) −1.91487 −0.116752 −0.0583758 0.998295i \(-0.518592\pi\)
−0.0583758 + 0.998295i \(0.518592\pi\)
\(270\) −9.38230 + 2.69161i −0.570989 + 0.163806i
\(271\) 9.46865i 0.575179i 0.957754 + 0.287590i \(0.0928539\pi\)
−0.957754 + 0.287590i \(0.907146\pi\)
\(272\) 11.0252 19.0962i 0.668502 1.15788i
\(273\) 5.84333 11.6421i 0.353654 0.704609i
\(274\) −14.9646 25.9195i −0.904045 1.56585i
\(275\) −4.07120 + 2.35051i −0.245503 + 0.141741i
\(276\) −4.82595 + 10.5096i −0.290488 + 0.632606i
\(277\) −13.9839 + 24.2208i −0.840211 + 1.45529i 0.0495043 + 0.998774i \(0.484236\pi\)
−0.889716 + 0.456515i \(0.849097\pi\)
\(278\) 32.1928i 1.93079i
\(279\) −0.866126 + 0.744236i −0.0518536 + 0.0445563i
\(280\) 1.84703i 0.110381i
\(281\) 12.9808 + 7.49445i 0.774368 + 0.447082i 0.834431 0.551113i \(-0.185797\pi\)
−0.0600625 + 0.998195i \(0.519130\pi\)
\(282\) 0.755421 + 1.06551i 0.0449847 + 0.0634502i
\(283\) 9.64098 + 16.6987i 0.573097 + 0.992632i 0.996246 + 0.0865723i \(0.0275914\pi\)
−0.423149 + 0.906060i \(0.639075\pi\)
\(284\) 7.18136 4.14616i 0.426135 0.246029i
\(285\) −4.04891 5.71092i −0.239837 0.338286i
\(286\) −28.1095 + 14.9533i −1.66215 + 0.884208i
\(287\) −25.1814 −1.48641
\(288\) −16.1470 + 13.8746i −0.951471 + 0.817571i
\(289\) 4.81943 0.283496
\(290\) −2.41243 + 4.17845i −0.141663 + 0.245367i
\(291\) 26.2603 + 12.0586i 1.53941 + 0.706885i
\(292\) 2.20751 1.27451i 0.129185 0.0745849i
\(293\) 0.824006 0.475740i 0.0481390 0.0277930i −0.475737 0.879587i \(-0.657819\pi\)
0.523876 + 0.851794i \(0.324485\pi\)
\(294\) −0.801527 8.58199i −0.0467460 0.500512i
\(295\) −3.77468 + 6.53793i −0.219770 + 0.380653i
\(296\) −3.36115 −0.195363
\(297\) 23.7024 + 5.90649i 1.37535 + 0.342729i
\(298\) −23.8903 −1.38393
\(299\) 13.9040 7.39645i 0.804088 0.427748i
\(300\) −2.63615 + 0.246206i −0.152198 + 0.0142147i
\(301\) −7.23067 + 4.17463i −0.416769 + 0.240622i
\(302\) 1.54819 + 2.68155i 0.0890886 + 0.154306i
\(303\) 11.7848 25.6642i 0.677019 1.47437i
\(304\) −16.5234 9.53980i −0.947683 0.547145i
\(305\) 3.37320i 0.193149i
\(306\) −24.8398 8.71268i −1.42000 0.498071i
\(307\) 11.9511i 0.682084i −0.940048 0.341042i \(-0.889220\pi\)
0.940048 0.341042i \(-0.110780\pi\)
\(308\) 7.49449 12.9808i 0.427038 0.739652i
\(309\) 7.12311 + 10.0470i 0.405220 + 0.571556i
\(310\) −0.619241 + 0.357519i −0.0351705 + 0.0203057i
\(311\) −7.32057 12.6796i −0.415111 0.718994i 0.580329 0.814382i \(-0.302924\pi\)
−0.995440 + 0.0953883i \(0.969591\pi\)
\(312\) 5.52051 0.322874i 0.312537 0.0182791i
\(313\) 5.11270 8.85546i 0.288987 0.500540i −0.684581 0.728937i \(-0.740015\pi\)
0.973568 + 0.228396i \(0.0733482\pi\)
\(314\) 20.4973i 1.15673i
\(315\) −6.14936 + 1.15876i −0.346477 + 0.0652889i
\(316\) −1.62464 −0.0913934
\(317\) 13.3955 + 7.73390i 0.752367 + 0.434379i 0.826548 0.562866i \(-0.190301\pi\)
−0.0741816 + 0.997245i \(0.523634\pi\)
\(318\) −36.9756 16.9790i −2.07349 0.952133i
\(319\) 10.4570 6.03734i 0.585478 0.338026i
\(320\) −3.36810 + 1.94457i −0.188283 + 0.108705i
\(321\) 13.6620 1.27598i 0.762539 0.0712183i
\(322\) −8.55728 + 14.8216i −0.476879 + 0.825978i
\(323\) 18.8797i 1.05050i
\(324\) 10.7432 + 8.59368i 0.596842 + 0.477427i
\(325\) 3.05806 + 1.91004i 0.169631 + 0.105950i
\(326\) −8.45650 + 14.6471i −0.468362 + 0.811227i
\(327\) −0.219590 2.35116i −0.0121434 0.130020i
\(328\) −5.34506 9.25791i −0.295131 0.511183i
\(329\) 0.418677 + 0.725170i 0.0230824 + 0.0399799i
\(330\) 13.8998 + 6.38267i 0.765157 + 0.351355i
\(331\) 0.0867959 + 0.0501116i 0.00477073 + 0.00275438i 0.502383 0.864645i \(-0.332457\pi\)
−0.497613 + 0.867399i \(0.665790\pi\)
\(332\) 2.77952i 0.152546i
\(333\) 2.10867 + 11.1904i 0.115555 + 0.613229i
\(334\) −29.3252 −1.60460
\(335\) 5.20013 9.00690i 0.284114 0.492099i
\(336\) −13.9127 + 9.86380i −0.759002 + 0.538115i
\(337\) 4.34329 + 7.52280i 0.236594 + 0.409793i 0.959735 0.280908i \(-0.0906355\pi\)
−0.723141 + 0.690701i \(0.757302\pi\)
\(338\) 20.2505 + 13.6474i 1.10148 + 0.742319i
\(339\) 18.7144 + 26.3963i 1.01643 + 1.43365i
\(340\) −6.18368 3.57015i −0.335357 0.193619i
\(341\) 1.78945 0.0969042
\(342\) −7.53883 + 21.4932i −0.407653 + 1.16222i
\(343\) 20.1269i 1.08675i
\(344\) −3.06960 1.77223i −0.165501 0.0955523i
\(345\) −6.87532 3.15710i −0.370155 0.169973i
\(346\) 35.2426 20.3473i 1.89465 1.09388i
\(347\) −13.9147 24.1010i −0.746982 1.29381i −0.949263 0.314483i \(-0.898169\pi\)
0.202281 0.979327i \(-0.435164\pi\)
\(348\) 6.77100 0.632387i 0.362964 0.0338995i
\(349\) −26.2928 15.1801i −1.40742 0.812574i −0.412281 0.911057i \(-0.635268\pi\)
−0.995139 + 0.0984825i \(0.968601\pi\)
\(350\) −3.91820 −0.209437
\(351\) −4.53833 18.1770i −0.242238 0.970217i
\(352\) 33.3603 1.77811
\(353\) 26.9341 + 15.5504i 1.43356 + 0.827665i 0.997390 0.0721999i \(-0.0230019\pi\)
0.436168 + 0.899865i \(0.356335\pi\)
\(354\) 24.4560 2.28410i 1.29982 0.121399i
\(355\) 2.71238 + 4.69799i 0.143958 + 0.249343i
\(356\) 10.5796 6.10813i 0.560717 0.323730i
\(357\) −15.3363 7.04233i −0.811684 0.372720i
\(358\) 2.41672 + 1.39529i 0.127727 + 0.0737435i
\(359\) 21.7248i 1.14659i 0.819349 + 0.573295i \(0.194335\pi\)
−0.819349 + 0.573295i \(0.805665\pi\)
\(360\) −1.73129 2.01484i −0.0912472 0.106192i
\(361\) 2.66392 0.140206
\(362\) −19.7910 11.4263i −1.04019 0.600555i
\(363\) −11.1191 15.6833i −0.583602 0.823161i
\(364\) −11.4892 0.398910i −0.602198 0.0209086i
\(365\) 0.833772 + 1.44414i 0.0436416 + 0.0755895i
\(366\) −8.95316 + 6.34758i −0.467989 + 0.331793i
\(367\) 17.0523 29.5354i 0.890121 1.54173i 0.0503907 0.998730i \(-0.483953\pi\)
0.839730 0.543004i \(-0.182713\pi\)
\(368\) −20.6193 −1.07486
\(369\) −27.4693 + 23.6035i −1.42999 + 1.22875i
\(370\) 7.13020i 0.370681i
\(371\) −22.5900 13.0423i −1.17281 0.677125i
\(372\) 0.915876 + 0.420564i 0.0474860 + 0.0218052i
\(373\) 15.8612 + 27.4724i 0.821260 + 1.42246i 0.904744 + 0.425956i \(0.140062\pi\)
−0.0834837 + 0.996509i \(0.526605\pi\)
\(374\) 20.6246 + 35.7228i 1.06647 + 1.84718i
\(375\) −0.161066 1.72455i −0.00831742 0.0890552i
\(376\) −0.177739 + 0.307853i −0.00916618 + 0.0158763i
\(377\) −7.85470 4.90598i −0.404538 0.252671i
\(378\) 14.6472 + 14.1411i 0.753372 + 0.727340i
\(379\) 22.1785i 1.13923i 0.821910 + 0.569617i \(0.192908\pi\)
−0.821910 + 0.569617i \(0.807092\pi\)
\(380\) −3.08915 + 5.35056i −0.158470 + 0.274478i
\(381\) 21.9170 2.04697i 1.12284 0.104869i
\(382\) 22.7639 13.1428i 1.16470 0.672442i
\(383\) 1.82956 1.05630i 0.0934863 0.0539744i −0.452528 0.891750i \(-0.649478\pi\)
0.546014 + 0.837776i \(0.316144\pi\)
\(384\) −10.8407 4.97798i −0.553213 0.254032i
\(385\) 8.49196 + 4.90284i 0.432790 + 0.249872i
\(386\) 35.8711 1.82579
\(387\) −3.97458 + 11.3315i −0.202039 + 0.576014i
\(388\) 25.5024i 1.29469i
\(389\) 17.8558 30.9271i 0.905324 1.56807i 0.0848416 0.996394i \(-0.472962\pi\)
0.820482 0.571672i \(-0.193705\pi\)
\(390\) −0.684929 11.7110i −0.0346828 0.593007i
\(391\) −10.2017 17.6698i −0.515920 0.893600i
\(392\) 2.03157 1.17292i 0.102610 0.0592416i
\(393\) −6.98358 9.85023i −0.352275 0.496878i
\(394\) 8.23306 14.2601i 0.414776 0.718413i
\(395\) 1.06283i 0.0534768i
\(396\) −3.99205 21.1851i −0.200608 1.06459i
\(397\) 13.7712i 0.691159i −0.938389 0.345580i \(-0.887682\pi\)
0.938389 0.345580i \(-0.112318\pi\)
\(398\) −9.14424 5.27943i −0.458359 0.264634i
\(399\) −6.09353 + 13.2701i −0.305058 + 0.664335i
\(400\) −2.36029 4.08814i −0.118014 0.204407i
\(401\) −1.45703 + 0.841215i −0.0727605 + 0.0420083i −0.535939 0.844257i \(-0.680042\pi\)
0.463178 + 0.886265i \(0.346709\pi\)
\(402\) −33.6915 + 3.14666i −1.68038 + 0.156941i
\(403\) −0.644573 1.21168i −0.0321085 0.0603581i
\(404\) −24.9234 −1.23999
\(405\) −5.62192 + 7.02809i −0.279355 + 0.349229i
\(406\) 10.0640 0.499467
\(407\) 8.92200 15.4534i 0.442247 0.765994i
\(408\) −0.666215 7.13320i −0.0329825 0.353146i
\(409\) 6.83235 3.94466i 0.337838 0.195051i −0.321478 0.946917i \(-0.604180\pi\)
0.659315 + 0.751866i \(0.270846\pi\)
\(410\) −19.6393 + 11.3388i −0.969917 + 0.559982i
\(411\) −25.0789 11.5160i −1.23705 0.568045i
\(412\) 5.43464 9.41307i 0.267745 0.463749i
\(413\) 15.7469 0.774855
\(414\) 4.55816 + 24.1894i 0.224021 + 1.18884i
\(415\) −1.81834 −0.0892589
\(416\) −12.0166 22.5891i −0.589164 1.10752i
\(417\) 17.1680 + 24.2153i 0.840723 + 1.18583i
\(418\) 30.9099 17.8459i 1.51185 0.872869i
\(419\) −4.92218 8.52547i −0.240464 0.416497i 0.720382 0.693577i \(-0.243966\pi\)
−0.960847 + 0.277081i \(0.910633\pi\)
\(420\) 3.19407 + 4.50518i 0.155854 + 0.219830i
\(421\) 7.00463 + 4.04412i 0.341385 + 0.197098i 0.660884 0.750488i \(-0.270181\pi\)
−0.319500 + 0.947586i \(0.603515\pi\)
\(422\) 24.1051i 1.17342i
\(423\) 1.13645 + 0.398614i 0.0552560 + 0.0193813i
\(424\) 11.0736i 0.537781i
\(425\) 2.33556 4.04531i 0.113291 0.196227i
\(426\) 7.36532 16.0397i 0.356851 0.777126i
\(427\) −6.09339 + 3.51802i −0.294880 + 0.170249i
\(428\) −6.05487 10.4873i −0.292673 0.506925i
\(429\) −13.1694 + 26.2383i −0.635826 + 1.26680i
\(430\) −3.75953 + 6.51170i −0.181301 + 0.314022i
\(431\) 5.33973i 0.257206i −0.991696 0.128603i \(-0.958951\pi\)
0.991696 0.128603i \(-0.0410492\pi\)
\(432\) −5.93107 + 23.8010i −0.285359 + 1.14513i
\(433\) −29.5532 −1.42023 −0.710117 0.704084i \(-0.751358\pi\)
−0.710117 + 0.704084i \(0.751358\pi\)
\(434\) 1.29165 + 0.745735i 0.0620013 + 0.0357964i
\(435\) 0.413702 + 4.42953i 0.0198355 + 0.212380i
\(436\) −1.80482 + 1.04201i −0.0864352 + 0.0499034i
\(437\) −15.2892 + 8.82720i −0.731380 + 0.422262i
\(438\) 2.26406 4.93052i 0.108181 0.235589i
\(439\) −3.22427 + 5.58459i −0.153886 + 0.266538i −0.932653 0.360775i \(-0.882512\pi\)
0.778767 + 0.627313i \(0.215845\pi\)
\(440\) 4.16275i 0.198451i
\(441\) −5.17958 6.02789i −0.246647 0.287042i
\(442\) 16.7597 26.8330i 0.797176 1.27632i
\(443\) 14.2674 24.7119i 0.677867 1.17410i −0.297755 0.954642i \(-0.596238\pi\)
0.975622 0.219457i \(-0.0704287\pi\)
\(444\) 8.19836 5.81244i 0.389077 0.275846i
\(445\) 3.99589 + 6.92108i 0.189423 + 0.328091i
\(446\) −16.4695 28.5261i −0.779855 1.35075i
\(447\) −17.9701 + 12.7404i −0.849959 + 0.602601i
\(448\) 7.02539 + 4.05611i 0.331918 + 0.191633i
\(449\) 18.4800i 0.872124i 0.899917 + 0.436062i \(0.143627\pi\)
−0.899917 + 0.436062i \(0.856373\pi\)
\(450\) −4.27420 + 3.67269i −0.201488 + 0.173132i
\(451\) 56.7527 2.67238
\(452\) 14.2783 24.7307i 0.671595 1.16324i
\(453\) 2.59459 + 1.19142i 0.121904 + 0.0559776i
\(454\) 25.6374 + 44.4052i 1.20322 + 2.08404i
\(455\) 0.260964 7.51615i 0.0122342 0.352363i
\(456\) −6.17215 + 0.576456i −0.289038 + 0.0269950i
\(457\) 25.2930 + 14.6029i 1.18316 + 0.683096i 0.956743 0.290935i \(-0.0939665\pi\)
0.226414 + 0.974031i \(0.427300\pi\)
\(458\) 12.3360 0.576423
\(459\) −23.3308 + 6.69318i −1.08899 + 0.312411i
\(460\) 6.67688i 0.311311i
\(461\) 25.8926 + 14.9491i 1.20594 + 0.696249i 0.961869 0.273509i \(-0.0881844\pi\)
0.244069 + 0.969758i \(0.421518\pi\)
\(462\) −2.96677 31.7653i −0.138026 1.47786i
\(463\) −24.4237 + 14.1010i −1.13507 + 0.655331i −0.945204 0.326480i \(-0.894138\pi\)
−0.189862 + 0.981811i \(0.560804\pi\)
\(464\) 6.06246 + 10.5005i 0.281442 + 0.487473i
\(465\) −0.275130 + 0.599159i −0.0127588 + 0.0277853i
\(466\) −46.3461 26.7580i −2.14694 1.23954i
\(467\) −3.97634 −0.184003 −0.0920015 0.995759i \(-0.529326\pi\)
−0.0920015 + 0.995759i \(0.529326\pi\)
\(468\) −12.9070 + 10.3342i −0.596626 + 0.477696i
\(469\) −21.6935 −1.00171
\(470\) 0.653065 + 0.377047i 0.0301236 + 0.0173919i
\(471\) 10.9310 + 15.4180i 0.503672 + 0.710422i
\(472\) 3.34247 + 5.78933i 0.153850 + 0.266476i
\(473\) 16.2961 9.40859i 0.749298 0.432607i
\(474\) −2.82096 + 1.99999i −0.129571 + 0.0918628i
\(475\) −3.50029 2.02090i −0.160605 0.0927251i
\(476\) 14.8937i 0.682650i
\(477\) −36.8676 + 6.94719i −1.68805 + 0.318090i
\(478\) 7.92417 0.362443
\(479\) −1.88124 1.08613i −0.0859561 0.0496268i 0.456406 0.889772i \(-0.349137\pi\)
−0.542362 + 0.840145i \(0.682470\pi\)
\(480\) −5.12918 + 11.1700i −0.234114 + 0.509838i
\(481\) −13.6776 0.474893i −0.623645 0.0216532i
\(482\) 10.2020 + 17.6704i 0.464689 + 0.804865i
\(483\) 1.46747 + 15.7123i 0.0667721 + 0.714933i
\(484\) −8.48342 + 14.6937i −0.385610 + 0.667896i
\(485\) 16.6834 0.757556
\(486\) 29.2331 + 1.69648i 1.32604 + 0.0769539i
\(487\) 18.0177i 0.816458i −0.912880 0.408229i \(-0.866147\pi\)
0.912880 0.408229i \(-0.133853\pi\)
\(488\) −2.58679 1.49348i −0.117099 0.0676069i
\(489\) 1.45019 + 15.5272i 0.0655797 + 0.702166i
\(490\) −2.48819 4.30967i −0.112405 0.194691i
\(491\) −10.4359 18.0756i −0.470967 0.815739i 0.528482 0.848945i \(-0.322762\pi\)
−0.999449 + 0.0332061i \(0.989428\pi\)
\(492\) 29.0471 + 13.3382i 1.30955 + 0.601334i
\(493\) −5.99895 + 10.3905i −0.270179 + 0.467964i
\(494\) −23.2178 14.5017i −1.04462 0.652460i
\(495\) 13.8591 2.61157i 0.622922 0.117381i
\(496\) 1.79690i 0.0806830i
\(497\) 5.65766 9.79935i 0.253781 0.439561i
\(498\) 3.42169 + 4.82624i 0.153330 + 0.216269i
\(499\) 11.0473 6.37814i 0.494544 0.285525i −0.231914 0.972736i \(-0.574499\pi\)
0.726458 + 0.687211i \(0.241165\pi\)
\(500\) −1.32381 + 0.764302i −0.0592025 + 0.0341806i
\(501\) −22.0583 + 15.6388i −0.985492 + 0.698691i
\(502\) −28.1766 16.2678i −1.25759 0.726067i
\(503\) −1.56661 −0.0698517 −0.0349258 0.999390i \(-0.511119\pi\)
−0.0349258 + 0.999390i \(0.511119\pi\)
\(504\) −1.83401 + 5.22877i −0.0816934 + 0.232908i
\(505\) 16.3047i 0.725550i
\(506\) 19.2860 33.4043i 0.857368 1.48500i
\(507\) 22.5103 0.533892i 0.999719 0.0237110i
\(508\) −9.71339 16.8241i −0.430962 0.746448i
\(509\) 11.6920 6.75038i 0.518239 0.299205i −0.217975 0.975954i \(-0.569945\pi\)
0.736214 + 0.676749i \(0.236612\pi\)
\(510\) −15.1321 + 1.41328i −0.670058 + 0.0625810i
\(511\) 1.73913 3.01227i 0.0769347 0.133255i
\(512\) 25.1390i 1.11100i
\(513\) 5.79141 + 20.1875i 0.255697 + 0.891298i
\(514\) 1.45059i 0.0639826i
\(515\) 6.15796 + 3.55530i 0.271352 + 0.156665i
\(516\) 10.5519 0.985511i 0.464523 0.0433847i
\(517\) −0.943596 1.63436i −0.0414993 0.0718789i
\(518\) 12.8801 7.43630i 0.565917 0.326732i
\(519\) 15.6583 34.0997i 0.687324 1.49681i
\(520\) 2.81870 1.49945i 0.123608 0.0657553i
\(521\) −20.7529 −0.909203 −0.454602 0.890695i \(-0.650218\pi\)
−0.454602 + 0.890695i \(0.650218\pi\)
\(522\) 10.9784 9.43339i 0.480510 0.412888i
\(523\) −23.5812 −1.03113 −0.515567 0.856849i \(-0.672419\pi\)
−0.515567 + 0.856849i \(0.672419\pi\)
\(524\) −5.32818 + 9.22868i −0.232763 + 0.403157i
\(525\) −2.94725 + 2.08953i −0.128629 + 0.0911947i
\(526\) 52.3656 30.2333i 2.28325 1.31824i
\(527\) −1.53986 + 0.889036i −0.0670772 + 0.0387270i
\(528\) 31.3559 22.2306i 1.36459 0.967462i
\(529\) 1.96045 3.39559i 0.0852368 0.147635i
\(530\) −23.4910 −1.02038
\(531\) 17.1776 14.7602i 0.745446 0.640539i
\(532\) 12.8871 0.558725
\(533\) −20.4427 38.4286i −0.885472 1.66453i
\(534\) 10.8506 23.6297i 0.469552 1.02256i
\(535\) 6.86073 3.96105i 0.296615 0.171251i
\(536\) −4.60471 7.97560i −0.198893 0.344493i
\(537\) 2.56194 0.239275i 0.110556 0.0103255i
\(538\) 3.11510 + 1.79850i 0.134301 + 0.0775389i
\(539\) 12.4539i 0.536426i
\(540\) 7.70716 + 1.92058i 0.331663 + 0.0826486i
\(541\) 31.0090i 1.33318i −0.745424 0.666591i \(-0.767753\pi\)
0.745424 0.666591i \(-0.232247\pi\)
\(542\) 8.89323 15.4035i 0.381997 0.661638i
\(543\) −20.9802 + 1.95948i −0.900348 + 0.0840892i
\(544\) −28.7072 + 16.5741i −1.23081 + 0.710609i
\(545\) −0.681677 1.18070i −0.0291998 0.0505756i
\(546\) −20.4404 + 13.4510i −0.874770 + 0.575648i
\(547\) 12.5202 21.6857i 0.535326 0.927212i −0.463821 0.885929i \(-0.653522\pi\)
0.999147 0.0412834i \(-0.0131446\pi\)
\(548\) 24.3550i 1.04040i
\(549\) −3.34943 + 9.54923i −0.142950 + 0.407551i
\(550\) 8.83066 0.376541
\(551\) 8.99059 + 5.19072i 0.383012 + 0.221132i
\(552\) −5.46511 + 3.87464i −0.232611 + 0.164915i
\(553\) −1.91990 + 1.10846i −0.0816426 + 0.0471364i
\(554\) 45.4978 26.2682i 1.93302 1.11603i
\(555\) 3.80245 + 5.36330i 0.161405 + 0.227659i
\(556\) 13.0985 22.6873i 0.555500 0.962155i
\(557\) 9.29754i 0.393949i −0.980409 0.196975i \(-0.936888\pi\)
0.980409 0.196975i \(-0.0631117\pi\)
\(558\) 2.10802 0.397227i 0.0892394 0.0168159i
\(559\) −12.2408 7.64548i −0.517730 0.323369i
\(560\) −4.92324 + 8.52729i −0.208045 + 0.360344i
\(561\) 34.5643 + 15.8717i 1.45931 + 0.670103i
\(562\) −14.0780 24.3838i −0.593845 1.02857i
\(563\) 9.25094 + 16.0231i 0.389881 + 0.675293i 0.992433 0.122786i \(-0.0391830\pi\)
−0.602553 + 0.798079i \(0.705850\pi\)
\(564\) −0.0988379 1.05826i −0.00416182 0.0445609i
\(565\) 16.1787 + 9.34075i 0.680641 + 0.392968i
\(566\) 36.2203i 1.52245i
\(567\) 18.5589 + 2.82567i 0.779399 + 0.118667i
\(568\) 4.80363 0.201556
\(569\) 10.2225 17.7060i 0.428551 0.742272i −0.568194 0.822895i \(-0.692358\pi\)
0.996745 + 0.0806227i \(0.0256909\pi\)
\(570\) 1.22287 + 13.0933i 0.0512203 + 0.548419i
\(571\) 12.4042 + 21.4846i 0.519098 + 0.899104i 0.999754 + 0.0221945i \(0.00706532\pi\)
−0.480656 + 0.876909i \(0.659601\pi\)
\(572\) 25.8939 + 0.899046i 1.08268 + 0.0375910i
\(573\) 10.1140 22.0257i 0.422520 0.920135i
\(574\) 40.9649 + 23.6511i 1.70984 + 0.987177i
\(575\) −4.36796 −0.182157
\(576\) 11.4657 2.16055i 0.477736 0.0900228i
\(577\) 32.7191i 1.36211i 0.732230 + 0.681057i \(0.238480\pi\)
−0.732230 + 0.681057i \(0.761520\pi\)
\(578\) −7.84021 4.52654i −0.326110 0.188279i
\(579\) 26.9821 19.1297i 1.12134 0.795002i
\(580\) 3.40023 1.96313i 0.141187 0.0815144i
\(581\) 1.89640 + 3.28467i 0.0786761 + 0.136271i
\(582\) −31.3943 44.2812i −1.30134 1.83551i
\(583\) 50.9123 + 29.3942i 2.10857 + 1.21738i
\(584\) 1.47661 0.0611025
\(585\) −6.76052 8.44366i −0.279513 0.349102i
\(586\) −1.78732 −0.0738333
\(587\) −25.5311 14.7404i −1.05378 0.608401i −0.130075 0.991504i \(-0.541522\pi\)
−0.923705 + 0.383103i \(0.874855\pi\)
\(588\) −2.92696 + 6.37413i −0.120706 + 0.262865i
\(589\) 0.769258 + 1.33239i 0.0316967 + 0.0549003i
\(590\) 12.2812 7.09057i 0.505610 0.291914i
\(591\) −1.41187 15.1170i −0.0580765 0.621829i
\(592\) 15.5177 + 8.95912i 0.637772 + 0.368218i
\(593\) 25.4261i 1.04413i −0.852907 0.522063i \(-0.825163\pi\)
0.852907 0.522063i \(-0.174837\pi\)
\(594\) −33.0113 31.8706i −1.35447 1.30767i
\(595\) −9.74332 −0.399437
\(596\) 16.8362 + 9.72040i 0.689639 + 0.398163i
\(597\) −9.69372 + 0.905358i −0.396738 + 0.0370538i
\(598\) −29.5659 1.02654i −1.20904 0.0419783i
\(599\) 14.8405 + 25.7045i 0.606367 + 1.05026i 0.991834 + 0.127537i \(0.0407071\pi\)
−0.385467 + 0.922722i \(0.625960\pi\)
\(600\) −1.39380 0.640026i −0.0569019 0.0261289i
\(601\) 3.28435 5.68866i 0.133971 0.232045i −0.791233 0.611515i \(-0.790560\pi\)
0.925204 + 0.379470i \(0.123894\pi\)
\(602\) 15.6837 0.639221
\(603\) −23.6645 + 20.3342i −0.963694 + 0.828073i
\(604\) 2.51970i 0.102525i
\(605\) −9.61251 5.54979i −0.390804 0.225631i
\(606\) −43.2759 + 30.6816i −1.75797 + 1.24636i
\(607\) 21.3033 + 36.8985i 0.864676 + 1.49766i 0.867369 + 0.497666i \(0.165809\pi\)
−0.00269327 + 0.999996i \(0.500857\pi\)
\(608\) 14.3411 + 24.8395i 0.581609 + 1.00738i
\(609\) 7.57009 5.36701i 0.306755 0.217482i
\(610\) −3.16821 + 5.48750i −0.128277 + 0.222182i
\(611\) −0.766772 + 1.22764i −0.0310203 + 0.0496649i
\(612\) 13.9604 + 16.2469i 0.564318 + 0.656741i
\(613\) 11.7258i 0.473603i −0.971558 0.236801i \(-0.923901\pi\)
0.971558 0.236801i \(-0.0760990\pi\)
\(614\) −11.2248 + 19.4419i −0.452996 + 0.784612i
\(615\) −8.72577 + 19.0024i −0.351857 + 0.766250i
\(616\) 7.51962 4.34146i 0.302974 0.174922i
\(617\) −24.2780 + 14.0169i −0.977396 + 0.564300i −0.901483 0.432815i \(-0.857520\pi\)
−0.0759130 + 0.997114i \(0.524187\pi\)
\(618\) −2.15135 23.0347i −0.0865401 0.926590i
\(619\) 28.9581 + 16.7190i 1.16393 + 0.671993i 0.952242 0.305345i \(-0.0987719\pi\)
0.211684 + 0.977338i \(0.432105\pi\)
\(620\) 0.581866 0.0233683
\(621\) 16.3286 + 15.7643i 0.655242 + 0.632601i
\(622\) 27.5028i 1.10276i
\(623\) 8.33487 14.4364i 0.333930 0.578383i
\(624\) −26.3475 13.2242i −1.05474 0.529393i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −16.6346 + 9.60399i −0.664853 + 0.383853i
\(627\) 13.7333 29.9075i 0.548456 1.19439i
\(628\) 8.33987 14.4451i 0.332797 0.576422i
\(629\) 17.7305i 0.706963i
\(630\) 11.0921 + 3.89059i 0.441919 + 0.155005i
\(631\) 27.9073i 1.11097i 0.831526 + 0.555485i \(0.187468\pi\)
−0.831526 + 0.555485i \(0.812532\pi\)
\(632\) −0.815046 0.470567i −0.0324208 0.0187182i
\(633\) 12.8550 + 18.1318i 0.510940 + 0.720673i
\(634\) −14.5278 25.1629i −0.576973 0.999346i
\(635\) 11.0062 6.35442i 0.436767 0.252167i
\(636\) 19.1496 + 27.0102i 0.759329 + 1.07102i
\(637\) 8.43281 4.48597i 0.334120 0.177741i
\(638\) −22.6818 −0.897979
\(639\) −3.01363 15.9928i −0.119217 0.632667i
\(640\) −6.88722 −0.272241
\(641\) −23.8045 + 41.2305i −0.940220 + 1.62851i −0.175169 + 0.984538i \(0.556047\pi\)
−0.765050 + 0.643970i \(0.777286\pi\)
\(642\) −23.4237 10.7560i −0.924459 0.424505i
\(643\) −2.16175 + 1.24809i −0.0852512 + 0.0492198i −0.542020 0.840366i \(-0.682340\pi\)
0.456768 + 0.889586i \(0.349007\pi\)
\(644\) 12.0612 6.96353i 0.475277 0.274401i
\(645\) 0.644714 + 6.90299i 0.0253856 + 0.271805i
\(646\) −17.7324 + 30.7134i −0.697671 + 1.20840i
\(647\) −38.9234 −1.53024 −0.765118 0.643890i \(-0.777320\pi\)
−0.765118 + 0.643890i \(0.777320\pi\)
\(648\) 2.90049 + 7.42293i 0.113942 + 0.291600i
\(649\) −35.4897 −1.39309
\(650\) −3.18087 5.97946i −0.124764 0.234534i
\(651\) 1.36927 0.127884i 0.0536658 0.00501219i
\(652\) 11.9191 6.88152i 0.466789 0.269501i
\(653\) −6.00474 10.4005i −0.234984 0.407004i 0.724284 0.689502i \(-0.242170\pi\)
−0.959268 + 0.282498i \(0.908837\pi\)
\(654\) −1.85105 + 4.03110i −0.0723819 + 0.157629i
\(655\) −6.03733 3.48565i −0.235898 0.136196i
\(656\) 56.9888i 2.22504i
\(657\) −0.926375 4.91611i −0.0361413 0.191796i
\(658\) 1.57294i 0.0613194i
\(659\) −20.7848 + 36.0003i −0.809660 + 1.40237i 0.103440 + 0.994636i \(0.467015\pi\)
−0.913100 + 0.407736i \(0.866318\pi\)
\(660\) −7.19864 10.1536i −0.280207 0.395227i
\(661\) −2.37517 + 1.37130i −0.0923834 + 0.0533376i −0.545480 0.838124i \(-0.683653\pi\)
0.453097 + 0.891461i \(0.350319\pi\)
\(662\) −0.0941325 0.163042i −0.00365857 0.00633682i
\(663\) −1.70320 29.1214i −0.0661469 1.13098i
\(664\) −0.805070 + 1.39442i −0.0312428 + 0.0541141i
\(665\) 8.43062i 0.326925i
\(666\) 7.07995 20.1849i 0.274342 0.782150i
\(667\) 11.2192 0.434410
\(668\) 20.6664 + 11.9318i 0.799608 + 0.461654i
\(669\) −27.6009 12.6742i −1.06711 0.490011i
\(670\) −16.9191 + 9.76823i −0.653641 + 0.377380i
\(671\) 13.7330 7.92875i 0.530156 0.306086i
\(672\) 25.5269 2.38412i 0.984723 0.0919695i
\(673\) 3.91211 6.77598i 0.150801 0.261195i −0.780721 0.624879i \(-0.785148\pi\)
0.931522 + 0.363685i \(0.118481\pi\)
\(674\) 16.3174i 0.628522i
\(675\) −1.25643 + 5.04196i −0.0483600 + 0.194065i
\(676\) −8.71839 17.8572i −0.335323 0.686816i
\(677\) 2.99863 5.19378i 0.115247 0.199613i −0.802632 0.596475i \(-0.796567\pi\)
0.917878 + 0.396862i \(0.129901\pi\)
\(678\) −5.65220 60.5185i −0.217072 2.32420i
\(679\) −17.3997 30.1371i −0.667738 1.15656i
\(680\) −2.06814 3.58212i −0.0793095 0.137368i
\(681\) 42.9651 + 19.7293i 1.64643 + 0.756028i
\(682\) −2.91106 1.68070i −0.111470 0.0643575i
\(683\) 23.2955i 0.891377i 0.895188 + 0.445688i \(0.147041\pi\)
−0.895188 + 0.445688i \(0.852959\pi\)
\(684\) 14.0580 12.0796i 0.537519 0.461874i
\(685\) −15.9329 −0.608764
\(686\) −18.9037 + 32.7422i −0.721748 + 1.25010i
\(687\) 9.27908 6.57865i 0.354019 0.250991i
\(688\) 9.44773 + 16.3640i 0.360191 + 0.623870i
\(689\) 1.56457 45.0620i 0.0596054 1.71672i
\(690\) 8.21948 + 11.5934i 0.312910 + 0.441355i
\(691\) −29.8998 17.2626i −1.13744 0.656701i −0.191645 0.981464i \(-0.561382\pi\)
−0.945795 + 0.324763i \(0.894715\pi\)
\(692\) −33.1155 −1.25886
\(693\) −19.1717 22.3116i −0.728272 0.847547i
\(694\) 52.2765i 1.98439i
\(695\) 14.8418 + 8.56894i 0.562983 + 0.325038i
\(696\) 3.58002 + 1.64392i 0.135700 + 0.0623126i
\(697\) −48.8367 + 28.1959i −1.84982 + 1.06800i
\(698\) 28.5152 + 49.3899i 1.07932 + 1.86943i
\(699\) −49.1311 + 4.58866i −1.85831 + 0.173559i
\(700\) 2.76128 + 1.59423i 0.104367 + 0.0602561i
\(701\) 34.9294 1.31926 0.659632 0.751589i \(-0.270712\pi\)
0.659632 + 0.751589i \(0.270712\pi\)
\(702\) −9.68945 + 33.8327i −0.365705 + 1.27693i
\(703\) 15.3417 0.578624
\(704\) −15.8335 9.14148i −0.596747 0.344532i
\(705\) 0.692307 0.0646589i 0.0260738 0.00243520i
\(706\) −29.2108 50.5946i −1.09936 1.90415i
\(707\) −29.4530 + 17.0047i −1.10769 + 0.639527i
\(708\) −18.1643 8.34092i −0.682656 0.313471i
\(709\) 3.49355 + 2.01700i 0.131203 + 0.0757501i 0.564165 0.825662i \(-0.309198\pi\)
−0.432962 + 0.901412i \(0.642532\pi\)
\(710\) 10.1902i 0.382431i
\(711\) −1.05534 + 3.00877i −0.0395783 + 0.112838i
\(712\) 7.07671 0.265211
\(713\) 1.43992 + 0.831337i 0.0539253 + 0.0311338i
\(714\) 18.3346 + 25.8607i 0.686156 + 0.967813i
\(715\) −0.588149 + 16.9396i −0.0219955 + 0.633503i
\(716\) −1.13542 1.96661i −0.0424328 0.0734958i
\(717\) 5.96052 4.22587i 0.222600 0.157818i
\(718\) 20.4045 35.3417i 0.761490 1.31894i
\(719\) 0.0970774 0.00362038 0.00181019 0.999998i \(-0.499424\pi\)
0.00181019 + 0.999998i \(0.499424\pi\)
\(720\) 2.62243 + 13.9168i 0.0977323 + 0.518649i
\(721\) 14.8317i 0.552362i
\(722\) −4.33364 2.50203i −0.161281 0.0931158i
\(723\) 17.0973 + 7.85098i 0.635857 + 0.291981i
\(724\) 9.29823 + 16.1050i 0.345566 + 0.598538i
\(725\) 1.28426 + 2.22441i 0.0476963 + 0.0826124i
\(726\) 3.35824 + 35.9569i 0.124636 + 1.33449i
\(727\) −16.7239 + 28.9666i −0.620255 + 1.07431i 0.369183 + 0.929357i \(0.379638\pi\)
−0.989438 + 0.144957i \(0.953696\pi\)
\(728\) −5.64833 3.52790i −0.209341 0.130753i
\(729\) 22.8937 14.3136i 0.847915 0.530133i
\(730\) 3.13241i 0.115936i
\(731\) −9.34876 + 16.1925i −0.345776 + 0.598902i
\(732\) 8.89226 0.830504i 0.328667 0.0306963i
\(733\) −19.0031 + 10.9715i −0.701897 + 0.405240i −0.808053 0.589109i \(-0.799479\pi\)
0.106157 + 0.994349i \(0.466145\pi\)
\(734\) −55.4809 + 32.0319i −2.04784 + 1.18232i
\(735\) −4.16990 1.91479i −0.153809 0.0706281i
\(736\) 26.8441 + 15.4984i 0.989485 + 0.571280i
\(737\) 48.8918 1.80095
\(738\) 66.8560 12.5981i 2.46100 0.463742i
\(739\) 9.00066i 0.331094i −0.986202 0.165547i \(-0.947061\pi\)
0.986202 0.165547i \(-0.0529390\pi\)
\(740\) 2.90111 5.02488i 0.106647 0.184718i
\(741\) −25.1979 + 1.47373i −0.925669 + 0.0541389i
\(742\) 24.4995 + 42.4344i 0.899404 + 1.55781i
\(743\) −40.2399 + 23.2325i −1.47626 + 0.852319i −0.999641 0.0267903i \(-0.991471\pi\)
−0.476619 + 0.879110i \(0.658138\pi\)
\(744\) 0.337660 + 0.476264i 0.0123792 + 0.0174607i
\(745\) −6.35901 + 11.0141i −0.232976 + 0.403526i
\(746\) 59.5891i 2.18171i
\(747\) 5.14756 + 1.80553i 0.188339 + 0.0660608i
\(748\) 33.5667i 1.22732i
\(749\) −14.3105 8.26219i −0.522895 0.301894i
\(750\) −1.35772 + 2.95676i −0.0495770 + 0.107965i
\(751\) −1.53198 2.65346i −0.0559027 0.0968263i 0.836720 0.547631i \(-0.184470\pi\)
−0.892622 + 0.450805i \(0.851137\pi\)
\(752\) 1.64116 0.947522i 0.0598468 0.0345526i
\(753\) −29.8698 + 2.78973i −1.08852 + 0.101663i
\(754\) 8.17013 + 15.3584i 0.297539 + 0.559319i
\(755\) 1.64837 0.0599903
\(756\) −4.56868 15.9253i −0.166161 0.579198i
\(757\) 0.0667874 0.00242743 0.00121371 0.999999i \(-0.499614\pi\)
0.00121371 + 0.999999i \(0.499614\pi\)
\(758\) 20.8307 36.0798i 0.756605 1.31048i
\(759\) −3.30731 35.4116i −0.120048 1.28536i
\(760\) −3.09951 + 1.78950i −0.112431 + 0.0649120i
\(761\) 12.7798 7.37842i 0.463267 0.267467i −0.250150 0.968207i \(-0.580480\pi\)
0.713417 + 0.700740i \(0.247147\pi\)
\(762\) −37.5769 17.2551i −1.36127 0.625085i
\(763\) −1.42188 + 2.46277i −0.0514756 + 0.0891584i
\(764\) −21.3899 −0.773861
\(765\) −10.6286 + 9.13281i −0.384277 + 0.330198i
\(766\) −3.96843 −0.143385
\(767\) 12.7836 + 24.0309i 0.461590 + 0.867706i
\(768\) 20.7521 + 29.2705i 0.748827 + 1.05621i
\(769\) 1.81074 1.04543i 0.0652968 0.0376991i −0.466996 0.884259i \(-0.654664\pi\)
0.532293 + 0.846560i \(0.321330\pi\)
\(770\) −9.20977 15.9518i −0.331897 0.574863i
\(771\) −0.773581 1.09112i −0.0278598 0.0392959i
\(772\) −25.2795 14.5952i −0.909831 0.525291i
\(773\) 42.5945i 1.53202i −0.642831 0.766008i \(-0.722240\pi\)
0.642831 0.766008i \(-0.277760\pi\)
\(774\) 17.1087 14.7010i 0.614960 0.528416i