Properties

Label 441.2.bn.a.5.6
Level $441$
Weight $2$
Character 441.5
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bn (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 5.6
Character \(\chi\) \(=\) 441.5
Dual form 441.2.bn.a.353.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.86842 + 1.49001i) q^{2} +(-1.41768 + 0.995078i) q^{3} +(0.825803 - 3.61808i) q^{4} +(-1.88505 - 1.28520i) q^{5} +(1.16614 - 3.97158i) q^{6} +(-0.922050 + 2.47988i) q^{7} +(1.77425 + 3.68427i) q^{8} +(1.01964 - 2.82141i) q^{9} +O(q^{10})\) \(q+(-1.86842 + 1.49001i) q^{2} +(-1.41768 + 0.995078i) q^{3} +(0.825803 - 3.61808i) q^{4} +(-1.88505 - 1.28520i) q^{5} +(1.16614 - 3.97158i) q^{6} +(-0.922050 + 2.47988i) q^{7} +(1.77425 + 3.68427i) q^{8} +(1.01964 - 2.82141i) q^{9} +(5.43702 - 0.407448i) q^{10} +(-0.775241 - 5.14339i) q^{11} +(2.42955 + 5.95102i) q^{12} +(0.0919355 + 0.609952i) q^{13} +(-1.97228 - 6.00733i) q^{14} +(3.95127 - 0.0537608i) q^{15} +(-2.11745 - 1.01971i) q^{16} +(-1.39998 + 1.29899i) q^{17} +(2.29882 + 6.79084i) q^{18} +(4.54187 + 2.62225i) q^{19} +(-6.20664 + 5.75892i) q^{20} +(-1.16051 - 4.43320i) q^{21} +(9.11220 + 8.45488i) q^{22} +(-0.184426 - 0.597895i) q^{23} +(-6.18146 - 3.45760i) q^{24} +(0.0749465 + 0.190961i) q^{25} +(-1.08061 - 1.00266i) q^{26} +(1.36200 + 5.01448i) q^{27} +(8.21098 + 5.38394i) q^{28} +(5.12493 + 5.52337i) q^{29} +(-7.30252 + 5.98789i) q^{30} -4.69739i q^{31} +(-2.49776 + 0.570098i) q^{32} +(6.21712 + 6.52026i) q^{33} +(0.680231 - 4.51303i) q^{34} +(4.92526 - 3.48967i) q^{35} +(-9.36605 - 6.01906i) q^{36} +(-5.42578 - 1.67363i) q^{37} +(-12.3933 + 1.86799i) q^{38} +(-0.737285 - 0.773235i) q^{39} +(1.39049 - 9.22529i) q^{40} +(-0.543928 + 7.25822i) q^{41} +(8.77383 + 6.55389i) q^{42} +(0.446996 + 5.96474i) q^{43} +(-19.2494 - 1.44254i) q^{44} +(-5.54814 + 4.00804i) q^{45} +(1.23546 + 0.842319i) q^{46} +(1.56059 + 1.95692i) q^{47} +(4.01655 - 0.661403i) q^{48} +(-5.29965 - 4.57315i) q^{49} +(-0.424565 - 0.245123i) q^{50} +(0.692125 - 3.23464i) q^{51} +(2.28278 + 0.171070i) q^{52} +(-1.70161 - 5.51649i) q^{53} +(-10.0164 - 7.33974i) q^{54} +(-5.14893 + 10.6919i) q^{55} +(-10.7725 + 1.00285i) q^{56} +(-9.04827 + 0.802002i) q^{57} +(-17.8054 - 2.68373i) q^{58} +(11.3514 + 5.46656i) q^{59} +(3.06846 - 14.3404i) q^{60} +(0.101088 - 0.0230726i) q^{61} +(6.99918 + 8.77669i) q^{62} +(6.05660 + 5.13006i) q^{63} +(6.74805 - 8.46179i) q^{64} +(0.610609 - 1.26794i) q^{65} +(-21.3315 - 2.91898i) q^{66} +12.1517 q^{67} +(3.54374 + 6.13793i) q^{68} +(0.856409 + 0.664105i) q^{69} +(-4.00278 + 13.8589i) q^{70} +(-2.65016 - 0.604882i) q^{71} +(12.2039 - 1.24926i) q^{72} +(-1.02444 + 6.79671i) q^{73} +(12.6314 - 4.95744i) q^{74} +(-0.296271 - 0.196144i) q^{75} +(13.2382 - 14.2674i) q^{76} +(13.4698 + 2.81996i) q^{77} +(2.52969 + 0.346160i) q^{78} +13.3560 q^{79} +(2.68095 + 4.64354i) q^{80} +(-6.92067 - 5.75363i) q^{81} +(-9.79856 - 14.3718i) q^{82} +(14.9414 + 2.25206i) q^{83} +(-16.9980 + 0.537853i) q^{84} +(4.30848 - 0.649399i) q^{85} +(-9.72272 - 10.4786i) q^{86} +(-12.7617 - 2.73066i) q^{87} +(17.5742 - 11.9819i) q^{88} +(2.61883 + 6.67267i) q^{89} +(4.39422 - 15.7555i) q^{90} +(-1.59738 - 0.334417i) q^{91} +(-2.31553 + 0.173525i) q^{92} +(4.67427 + 6.65940i) q^{93} +(-5.83166 - 1.33104i) q^{94} +(-5.19151 - 10.7803i) q^{95} +(2.97374 - 3.29369i) q^{96} +(10.2826 - 5.93664i) q^{97} +(16.7160 + 0.648019i) q^{98} +(-15.3021 - 3.05713i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 648 q - 21 q^{2} - 11 q^{3} + 99 q^{4} - 18 q^{5} - 34 q^{6} - 5 q^{7} - 23 q^{9} - 22 q^{10} - 18 q^{11} - 72 q^{12} - 4 q^{13} + 66 q^{14} - 10 q^{15} - 105 q^{16} - 9 q^{17} - 27 q^{18} - 36 q^{19} - 27 q^{20} - 11 q^{21} - 9 q^{22} - 27 q^{23} - 8 q^{24} + 38 q^{25} + 6 q^{26} - 29 q^{27} - 26 q^{28} + 3 q^{29} - 16 q^{30} - 21 q^{32} - 11 q^{33} - 13 q^{34} + 28 q^{36} - 13 q^{37} - 90 q^{38} - 15 q^{39} - 31 q^{40} - 27 q^{41} - 4 q^{42} - 9 q^{43} + 51 q^{44} - 11 q^{45} - 108 q^{46} + 75 q^{47} - 15 q^{48} - 13 q^{49} - 45 q^{50} - 38 q^{51} + 64 q^{52} - 12 q^{53} - 41 q^{54} + 14 q^{55} + 3 q^{56} - 7 q^{57} - 90 q^{58} + 15 q^{59} - 69 q^{60} - 56 q^{61} + 66 q^{62} + 13 q^{63} + 64 q^{64} - 21 q^{65} - 204 q^{66} - 26 q^{67} + 3 q^{68} + 58 q^{69} - 22 q^{70} - 63 q^{71} - 18 q^{72} - 22 q^{73} - 12 q^{74} + 118 q^{75} - 63 q^{76} - 69 q^{77} - 147 q^{78} - 2 q^{79} - 45 q^{80} + 29 q^{81} - 28 q^{82} - 51 q^{83} - 31 q^{84} - 10 q^{85} - 72 q^{86} - 67 q^{87} + 4 q^{88} + 132 q^{89} + 58 q^{90} - 13 q^{91} - 15 q^{92} + 217 q^{93} - 7 q^{94} - 21 q^{95} - 44 q^{96} + 3 q^{97} + 21 q^{98} - 148 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{29}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.86842 + 1.49001i −1.32117 + 1.05360i −0.327086 + 0.944995i \(0.606067\pi\)
−0.994085 + 0.108604i \(0.965362\pi\)
\(3\) −1.41768 + 0.995078i −0.818499 + 0.574509i
\(4\) 0.825803 3.61808i 0.412901 1.80904i
\(5\) −1.88505 1.28520i −0.843018 0.574760i 0.0629931 0.998014i \(-0.479935\pi\)
−0.906011 + 0.423254i \(0.860888\pi\)
\(6\) 1.16614 3.97158i 0.476075 1.62139i
\(7\) −0.922050 + 2.47988i −0.348502 + 0.937308i
\(8\) 1.77425 + 3.68427i 0.627293 + 1.30259i
\(9\) 1.01964 2.82141i 0.339880 0.940469i
\(10\) 5.43702 0.407448i 1.71934 0.128846i
\(11\) −0.775241 5.14339i −0.233744 1.55079i −0.730507 0.682905i \(-0.760716\pi\)
0.496763 0.867886i \(-0.334522\pi\)
\(12\) 2.42955 + 5.95102i 0.701349 + 1.71791i
\(13\) 0.0919355 + 0.609952i 0.0254983 + 0.169170i 0.997956 0.0639108i \(-0.0203573\pi\)
−0.972457 + 0.233081i \(0.925119\pi\)
\(14\) −1.97228 6.00733i −0.527115 1.60553i
\(15\) 3.95127 0.0537608i 1.02021 0.0138810i
\(16\) −2.11745 1.01971i −0.529362 0.254927i
\(17\) −1.39998 + 1.29899i −0.339544 + 0.315051i −0.831452 0.555596i \(-0.812490\pi\)
0.491908 + 0.870647i \(0.336300\pi\)
\(18\) 2.29882 + 6.79084i 0.541838 + 1.60062i
\(19\) 4.54187 + 2.62225i 1.04198 + 0.601586i 0.920393 0.390996i \(-0.127869\pi\)
0.121584 + 0.992581i \(0.461203\pi\)
\(20\) −6.20664 + 5.75892i −1.38785 + 1.28773i
\(21\) −1.16051 4.43320i −0.253243 0.967403i
\(22\) 9.11220 + 8.45488i 1.94273 + 1.80259i
\(23\) −0.184426 0.597895i −0.0384555 0.124670i 0.934310 0.356462i \(-0.116017\pi\)
−0.972765 + 0.231793i \(0.925541\pi\)
\(24\) −6.18146 3.45760i −1.26179 0.705780i
\(25\) 0.0749465 + 0.190961i 0.0149893 + 0.0381921i
\(26\) −1.08061 1.00266i −0.211925 0.196638i
\(27\) 1.36200 + 5.01448i 0.262117 + 0.965036i
\(28\) 8.21098 + 5.38394i 1.55173 + 1.01747i
\(29\) 5.12493 + 5.52337i 0.951676 + 1.02566i 0.999640 + 0.0268142i \(0.00853625\pi\)
−0.0479640 + 0.998849i \(0.515273\pi\)
\(30\) −7.30252 + 5.98789i −1.33325 + 1.09323i
\(31\) 4.69739i 0.843677i −0.906671 0.421838i \(-0.861385\pi\)
0.906671 0.421838i \(-0.138615\pi\)
\(32\) −2.49776 + 0.570098i −0.441547 + 0.100780i
\(33\) 6.21712 + 6.52026i 1.08226 + 1.13503i
\(34\) 0.680231 4.51303i 0.116659 0.773979i
\(35\) 4.92526 3.48967i 0.832521 0.589862i
\(36\) −9.36605 6.01906i −1.56101 1.00318i
\(37\) −5.42578 1.67363i −0.891993 0.275143i −0.185315 0.982679i \(-0.559331\pi\)
−0.706678 + 0.707536i \(0.749807\pi\)
\(38\) −12.3933 + 1.86799i −2.01046 + 0.303028i
\(39\) −0.737285 0.773235i −0.118060 0.123817i
\(40\) 1.39049 9.22529i 0.219856 1.45865i
\(41\) −0.543928 + 7.25822i −0.0849473 + 1.13354i 0.778005 + 0.628258i \(0.216232\pi\)
−0.862952 + 0.505285i \(0.831387\pi\)
\(42\) 8.77383 + 6.55389i 1.35383 + 1.01129i
\(43\) 0.446996 + 5.96474i 0.0681662 + 0.909615i 0.921532 + 0.388302i \(0.126938\pi\)
−0.853366 + 0.521312i \(0.825443\pi\)
\(44\) −19.2494 1.44254i −2.90195 0.217471i
\(45\) −5.54814 + 4.00804i −0.827068 + 0.597483i
\(46\) 1.23546 + 0.842319i 0.182158 + 0.124193i
\(47\) 1.56059 + 1.95692i 0.227635 + 0.285446i 0.882512 0.470290i \(-0.155851\pi\)
−0.654877 + 0.755736i \(0.727279\pi\)
\(48\) 4.01655 0.661403i 0.579740 0.0954654i
\(49\) −5.29965 4.57315i −0.757092 0.653308i
\(50\) −0.424565 0.245123i −0.0600426 0.0346656i
\(51\) 0.692125 3.23464i 0.0969169 0.452940i
\(52\) 2.28278 + 0.171070i 0.316564 + 0.0237232i
\(53\) −1.70161 5.51649i −0.233735 0.757749i −0.994121 0.108278i \(-0.965466\pi\)
0.760386 0.649471i \(-0.225010\pi\)
\(54\) −10.0164 7.33974i −1.36306 0.998812i
\(55\) −5.14893 + 10.6919i −0.694282 + 1.44169i
\(56\) −10.7725 + 1.00285i −1.43954 + 0.134012i
\(57\) −9.04827 + 0.802002i −1.19847 + 0.106228i
\(58\) −17.8054 2.68373i −2.33796 0.352391i
\(59\) 11.3514 + 5.46656i 1.47783 + 0.711685i 0.987171 0.159667i \(-0.0510420\pi\)
0.490658 + 0.871352i \(0.336756\pi\)
\(60\) 3.06846 14.3404i 0.396136 1.85134i
\(61\) 0.101088 0.0230726i 0.0129429 0.00295414i −0.216045 0.976384i \(-0.569316\pi\)
0.228988 + 0.973429i \(0.426459\pi\)
\(62\) 6.99918 + 8.77669i 0.888896 + 1.11464i
\(63\) 6.05660 + 5.13006i 0.763060 + 0.646327i
\(64\) 6.74805 8.46179i 0.843506 1.05772i
\(65\) 0.610609 1.26794i 0.0757368 0.157269i
\(66\) −21.3315 2.91898i −2.62572 0.359301i
\(67\) 12.1517 1.48456 0.742281 0.670088i \(-0.233744\pi\)
0.742281 + 0.670088i \(0.233744\pi\)
\(68\) 3.54374 + 6.13793i 0.429741 + 0.744333i
\(69\) 0.856409 + 0.664105i 0.103100 + 0.0799489i
\(70\) −4.00278 + 13.8589i −0.478424 + 1.65645i
\(71\) −2.65016 0.604882i −0.314516 0.0717862i 0.0623490 0.998054i \(-0.480141\pi\)
−0.376865 + 0.926268i \(0.622998\pi\)
\(72\) 12.2039 1.24926i 1.43825 0.147227i
\(73\) −1.02444 + 6.79671i −0.119902 + 0.795495i 0.845358 + 0.534201i \(0.179387\pi\)
−0.965259 + 0.261294i \(0.915851\pi\)
\(74\) 12.6314 4.95744i 1.46837 0.576291i
\(75\) −0.296271 0.196144i −0.0342104 0.0226487i
\(76\) 13.2382 14.2674i 1.51853 1.63658i
\(77\) 13.4698 + 2.81996i 1.53503 + 0.321364i
\(78\) 2.52969 + 0.346160i 0.286431 + 0.0391949i
\(79\) 13.3560 1.50266 0.751332 0.659925i \(-0.229412\pi\)
0.751332 + 0.659925i \(0.229412\pi\)
\(80\) 2.68095 + 4.64354i 0.299739 + 0.519164i
\(81\) −6.92067 5.75363i −0.768964 0.639292i
\(82\) −9.79856 14.3718i −1.08207 1.58710i
\(83\) 14.9414 + 2.25206i 1.64003 + 0.247195i 0.903307 0.428995i \(-0.141132\pi\)
0.736727 + 0.676190i \(0.236370\pi\)
\(84\) −16.9980 + 0.537853i −1.85463 + 0.0586845i
\(85\) 4.30848 0.649399i 0.467320 0.0704372i
\(86\) −9.72272 10.4786i −1.04843 1.12994i
\(87\) −12.7617 2.73066i −1.36820 0.292758i
\(88\) 17.5742 11.9819i 1.87341 1.27727i
\(89\) 2.61883 + 6.67267i 0.277596 + 0.707302i 0.999877 + 0.0157024i \(0.00499843\pi\)
−0.722281 + 0.691600i \(0.756906\pi\)
\(90\) 4.39422 15.7555i 0.463191 1.66078i
\(91\) −1.59738 0.334417i −0.167451 0.0350565i
\(92\) −2.31553 + 0.173525i −0.241411 + 0.0180912i
\(93\) 4.67427 + 6.65940i 0.484699 + 0.690548i
\(94\) −5.83166 1.33104i −0.601490 0.137286i
\(95\) −5.19151 10.7803i −0.532638 1.10603i
\(96\) 2.97374 3.29369i 0.303506 0.336161i
\(97\) 10.2826 5.93664i 1.04404 0.602775i 0.123063 0.992399i \(-0.460728\pi\)
0.920974 + 0.389624i \(0.127395\pi\)
\(98\) 16.7160 + 0.648019i 1.68857 + 0.0654598i
\(99\) −15.3021 3.05713i −1.53792 0.307253i
\(100\) 0.752801 0.113467i 0.0752801 0.0113467i
\(101\) 0.0644688 0.860277i 0.00641489 0.0856008i −0.993077 0.117462i \(-0.962524\pi\)
0.999492 + 0.0318609i \(0.0101433\pi\)
\(102\) 3.52647 + 7.07493i 0.349173 + 0.700522i
\(103\) 9.87441 14.4831i 0.972954 1.42706i 0.0698909 0.997555i \(-0.477735\pi\)
0.903063 0.429507i \(-0.141313\pi\)
\(104\) −2.08411 + 1.42092i −0.204364 + 0.139333i
\(105\) −3.50995 + 9.84826i −0.342536 + 0.961092i
\(106\) 11.3990 + 7.77169i 1.10717 + 0.754853i
\(107\) 6.91589 2.71429i 0.668584 0.262400i −0.00667807 0.999978i \(-0.502126\pi\)
0.675262 + 0.737578i \(0.264030\pi\)
\(108\) 19.2675 0.786847i 1.85402 0.0757144i
\(109\) −5.55422 + 14.1519i −0.531998 + 1.35551i 0.372103 + 0.928191i \(0.378637\pi\)
−0.904101 + 0.427318i \(0.859458\pi\)
\(110\) −6.31067 27.6489i −0.601699 2.63621i
\(111\) 9.35742 3.02640i 0.888167 0.287253i
\(112\) 4.48115 4.31080i 0.423429 0.407332i
\(113\) 0.743634 0.291855i 0.0699552 0.0274554i −0.330105 0.943944i \(-0.607084\pi\)
0.400061 + 0.916489i \(0.368989\pi\)
\(114\) 15.7110 14.9805i 1.47147 1.40305i
\(115\) −0.420764 + 1.36408i −0.0392364 + 0.127201i
\(116\) 24.2161 13.9812i 2.24841 1.29812i
\(117\) 1.81466 + 0.362544i 0.167766 + 0.0335172i
\(118\) −29.3544 + 6.69996i −2.70230 + 0.616781i
\(119\) −1.93049 4.66951i −0.176968 0.428053i
\(120\) 7.20862 + 14.4622i 0.658054 + 1.32021i
\(121\) −15.3422 + 4.73243i −1.39474 + 0.430221i
\(122\) −0.154495 + 0.193731i −0.0139874 + 0.0175396i
\(123\) −6.45138 10.8311i −0.581701 0.976607i
\(124\) −16.9955 3.87912i −1.52624 0.348355i
\(125\) −2.43424 + 10.6651i −0.217725 + 0.953915i
\(126\) −18.9601 0.560684i −1.68910 0.0499497i
\(127\) −2.48820 10.9015i −0.220792 0.967355i −0.956883 0.290472i \(-0.906188\pi\)
0.736091 0.676882i \(-0.236669\pi\)
\(128\) 20.7408i 1.83325i
\(129\) −6.56908 8.01131i −0.578375 0.705356i
\(130\) 0.748379 + 3.27886i 0.0656372 + 0.287575i
\(131\) 1.04910 + 13.9993i 0.0916605 + 1.22312i 0.833489 + 0.552535i \(0.186340\pi\)
−0.741829 + 0.670589i \(0.766041\pi\)
\(132\) 28.7249 17.1096i 2.50018 1.48920i
\(133\) −10.6907 + 8.84547i −0.927002 + 0.766999i
\(134\) −22.7044 + 18.1061i −1.96136 + 1.56413i
\(135\) 3.87719 11.2030i 0.333695 0.964197i
\(136\) −7.26974 2.85316i −0.623375 0.244657i
\(137\) −5.85400 8.58624i −0.500141 0.733572i 0.490293 0.871557i \(-0.336890\pi\)
−0.990434 + 0.137986i \(0.955937\pi\)
\(138\) −2.58966 + 0.0352348i −0.220446 + 0.00299938i
\(139\) −3.34061 0.250344i −0.283347 0.0212339i −0.0677012 0.997706i \(-0.521566\pi\)
−0.215645 + 0.976472i \(0.569186\pi\)
\(140\) −8.55861 20.7017i −0.723335 1.74962i
\(141\) −4.15970 1.22138i −0.350310 0.102858i
\(142\) 5.85289 2.81860i 0.491163 0.236532i
\(143\) 3.06595 0.945721i 0.256388 0.0790851i
\(144\) −5.03604 + 4.93444i −0.419670 + 0.411204i
\(145\) −2.56209 16.9984i −0.212770 1.41164i
\(146\) −8.21311 14.2255i −0.679722 1.17731i
\(147\) 12.0639 + 1.20971i 0.995010 + 0.0997754i
\(148\) −10.5360 + 18.2488i −0.866050 + 1.50004i
\(149\) 17.9607 + 7.04905i 1.47140 + 0.577480i 0.959535 0.281588i \(-0.0908612\pi\)
0.511861 + 0.859069i \(0.328956\pi\)
\(150\) 0.845814 0.0749696i 0.0690604 0.00612124i
\(151\) 6.79459 + 6.30446i 0.552936 + 0.513049i 0.906412 0.422394i \(-0.138810\pi\)
−0.353477 + 0.935443i \(0.615001\pi\)
\(152\) −1.60266 + 21.3860i −0.129993 + 1.73464i
\(153\) 2.23750 + 5.27440i 0.180891 + 0.426410i
\(154\) −29.3690 + 14.8014i −2.36662 + 1.19273i
\(155\) −6.03710 + 8.85480i −0.484911 + 0.711234i
\(156\) −3.40648 + 2.02902i −0.272736 + 0.162451i
\(157\) 7.60393 15.7897i 0.606860 1.26016i −0.340578 0.940216i \(-0.610623\pi\)
0.947438 0.319941i \(-0.103663\pi\)
\(158\) −24.9545 + 19.9006i −1.98528 + 1.58320i
\(159\) 7.90169 + 6.12739i 0.626645 + 0.485934i
\(160\) 5.44109 + 2.13547i 0.430156 + 0.168824i
\(161\) 1.65276 + 0.0939337i 0.130256 + 0.00740301i
\(162\) 21.5037 + 0.438292i 1.68949 + 0.0344355i
\(163\) 5.34850 3.64655i 0.418927 0.285620i −0.335454 0.942057i \(-0.608890\pi\)
0.754381 + 0.656437i \(0.227937\pi\)
\(164\) 25.8116 + 7.96183i 2.01555 + 0.621715i
\(165\) −3.33970 20.2812i −0.259995 1.57889i
\(166\) −31.2724 + 18.0551i −2.42721 + 1.40135i
\(167\) −11.4226 3.52340i −0.883907 0.272649i −0.180618 0.983553i \(-0.557810\pi\)
−0.703289 + 0.710904i \(0.748286\pi\)
\(168\) 14.2741 12.1412i 1.10127 0.936716i
\(169\) 12.0589 3.71966i 0.927604 0.286128i
\(170\) −7.08243 + 7.63304i −0.543197 + 0.585428i
\(171\) 12.0295 10.1407i 0.919919 0.775480i
\(172\) 21.9500 + 3.30843i 1.67367 + 0.252266i
\(173\) 2.44579 10.7157i 0.185950 0.814700i −0.792773 0.609516i \(-0.791364\pi\)
0.978723 0.205184i \(-0.0657792\pi\)
\(174\) 27.9129 13.9131i 2.11607 1.05475i
\(175\) −0.542664 + 0.00978337i −0.0410216 + 0.000739553i
\(176\) −3.60323 + 11.6814i −0.271603 + 0.880517i
\(177\) −21.5323 + 3.54572i −1.61847 + 0.266513i
\(178\) −14.8354 8.56525i −1.11196 0.641992i
\(179\) −3.28564 3.54108i −0.245581 0.264673i 0.598217 0.801334i \(-0.295876\pi\)
−0.843798 + 0.536661i \(0.819685\pi\)
\(180\) 9.91972 + 23.3835i 0.739372 + 1.74290i
\(181\) 9.98850 + 7.96556i 0.742439 + 0.592075i 0.919946 0.392044i \(-0.128232\pi\)
−0.177507 + 0.984119i \(0.556803\pi\)
\(182\) 3.48286 1.75529i 0.258167 0.130110i
\(183\) −0.120351 + 0.133300i −0.00889660 + 0.00985379i
\(184\) 1.87559 1.74029i 0.138270 0.128296i
\(185\) 8.07689 + 10.1281i 0.593825 + 0.744633i
\(186\) −18.6561 5.47782i −1.36793 0.401653i
\(187\) 7.76652 + 6.19360i 0.567944 + 0.452921i
\(188\) 8.36901 4.03030i 0.610373 0.293940i
\(189\) −13.6911 1.24600i −0.995884 0.0906333i
\(190\) 25.7627 + 12.4067i 1.86902 + 0.900073i
\(191\) −3.12238 6.48369i −0.225928 0.469143i 0.756933 0.653492i \(-0.226697\pi\)
−0.982861 + 0.184349i \(0.940982\pi\)
\(192\) −1.14644 + 18.7110i −0.0827374 + 1.35035i
\(193\) −23.6457 + 11.3872i −1.70206 + 0.819667i −0.708579 + 0.705632i \(0.750663\pi\)
−0.993477 + 0.114035i \(0.963622\pi\)
\(194\) −10.3665 + 26.4133i −0.744268 + 1.89636i
\(195\) 0.396054 + 2.40514i 0.0283620 + 0.172236i
\(196\) −20.9225 + 15.3980i −1.49446 + 1.09986i
\(197\) 14.2362i 1.01429i −0.861861 0.507144i \(-0.830701\pi\)
0.861861 0.507144i \(-0.169299\pi\)
\(198\) 33.1458 17.0883i 2.35557 1.21441i
\(199\) −5.46115 + 8.01003i −0.387131 + 0.567816i −0.969495 0.245112i \(-0.921175\pi\)
0.582364 + 0.812928i \(0.302128\pi\)
\(200\) −0.570577 + 0.614936i −0.0403459 + 0.0434825i
\(201\) −17.2272 + 12.0919i −1.21511 + 0.852894i
\(202\) 1.16137 + 1.70342i 0.0817137 + 0.119852i
\(203\) −18.4228 + 7.61642i −1.29302 + 0.534568i
\(204\) −11.1316 5.17533i −0.779368 0.362346i
\(205\) 10.3536 12.9830i 0.723128 0.906773i
\(206\) 3.13049 + 41.7735i 0.218111 + 2.91050i
\(207\) −1.87495 0.0892956i −0.130318 0.00620647i
\(208\) 0.427305 1.38529i 0.0296283 0.0960525i
\(209\) 9.96621 25.3935i 0.689377 1.75651i
\(210\) −8.11599 23.6305i −0.560056 1.63066i
\(211\) −5.45339 13.8950i −0.375427 0.956573i −0.986317 0.164858i \(-0.947284\pi\)
0.610890 0.791715i \(-0.290812\pi\)
\(212\) −21.3643 + 1.60103i −1.46731 + 0.109959i
\(213\) 4.35898 1.77959i 0.298673 0.121935i
\(214\) −8.87744 + 15.3762i −0.606850 + 1.05109i
\(215\) 6.82329 11.8183i 0.465345 0.806001i
\(216\) −16.0582 + 13.9149i −1.09262 + 0.946790i
\(217\) 11.6490 + 4.33123i 0.790785 + 0.294023i
\(218\) −10.7090 34.7176i −0.725302 2.35137i
\(219\) −5.31093 10.6550i −0.358880 0.719996i
\(220\) 34.4320 + 27.4586i 2.32141 + 1.85126i
\(221\) −0.921028 0.734495i −0.0619551 0.0494075i
\(222\) −12.9742 + 19.5973i −0.870771 + 1.31528i
\(223\) 3.30654 + 10.7196i 0.221423 + 0.717834i 0.996317 + 0.0857440i \(0.0273267\pi\)
−0.774895 + 0.632090i \(0.782197\pi\)
\(224\) 0.889287 6.71983i 0.0594180 0.448987i
\(225\) 0.615196 0.0167438i 0.0410131 0.00111625i
\(226\) −0.954552 + 1.65333i −0.0634958 + 0.109978i
\(227\) −8.22366 + 14.2438i −0.545824 + 0.945394i 0.452731 + 0.891647i \(0.350450\pi\)
−0.998555 + 0.0537472i \(0.982883\pi\)
\(228\) −4.57038 + 33.3996i −0.302681 + 2.21194i
\(229\) −17.4878 + 1.31053i −1.15563 + 0.0866024i −0.638721 0.769439i \(-0.720536\pi\)
−0.516908 + 0.856041i \(0.672917\pi\)
\(230\) −1.24634 3.17562i −0.0821812 0.209394i
\(231\) −21.9020 + 9.40573i −1.44105 + 0.618852i
\(232\) −11.2567 + 28.6815i −0.739036 + 1.88303i
\(233\) −6.03806 + 19.5749i −0.395567 + 1.28240i 0.510726 + 0.859744i \(0.329377\pi\)
−0.906292 + 0.422652i \(0.861099\pi\)
\(234\) −3.93075 + 2.02649i −0.256961 + 0.132476i
\(235\) −0.426747 5.69455i −0.0278379 0.371471i
\(236\) 29.1525 36.5560i 1.89766 2.37959i
\(237\) −18.9345 + 13.2902i −1.22993 + 0.863293i
\(238\) 10.5646 + 5.84814i 0.684801 + 0.379078i
\(239\) −15.1521 22.2241i −0.980110 1.43756i −0.897520 0.440974i \(-0.854633\pi\)
−0.0825907 0.996584i \(-0.526319\pi\)
\(240\) −8.42142 3.91531i −0.543600 0.252732i
\(241\) −11.6197 + 12.5231i −0.748492 + 0.806682i −0.986358 0.164616i \(-0.947362\pi\)
0.237866 + 0.971298i \(0.423552\pi\)
\(242\) 21.6142 31.7022i 1.38941 2.03789i
\(243\) 15.5366 + 1.27020i 0.996675 + 0.0814836i
\(244\) 0.384796i 0.0246341i
\(245\) 4.11265 + 15.4317i 0.262747 + 0.985897i
\(246\) 28.1923 + 10.6244i 1.79748 + 0.677385i
\(247\) −1.18189 + 3.01140i −0.0752018 + 0.191611i
\(248\) 17.3065 8.33436i 1.09896 0.529232i
\(249\) −23.4231 + 11.6752i −1.48438 + 0.739885i
\(250\) −11.3430 23.5539i −0.717391 1.48968i
\(251\) 5.01961 + 2.41732i 0.316835 + 0.152580i 0.585542 0.810642i \(-0.300882\pi\)
−0.268706 + 0.963222i \(0.586596\pi\)
\(252\) 23.5625 17.6768i 1.48430 1.11354i
\(253\) −2.93223 + 1.41209i −0.184348 + 0.0887772i
\(254\) 20.8924 + 16.6612i 1.31091 + 1.04541i
\(255\) −5.46185 + 5.20792i −0.342034 + 0.326132i
\(256\) −17.4080 21.8290i −1.08800 1.36431i
\(257\) 5.46780 5.07338i 0.341072 0.316469i −0.490975 0.871174i \(-0.663359\pi\)
0.832047 + 0.554705i \(0.187169\pi\)
\(258\) 24.2107 + 5.18045i 1.50729 + 0.322520i
\(259\) 9.15325 11.9121i 0.568756 0.740184i
\(260\) −4.08328 3.25630i −0.253234 0.201947i
\(261\) 20.8092 8.82769i 1.28806 0.546420i
\(262\) −22.8193 24.5934i −1.40978 1.51938i
\(263\) 6.19928 + 3.57916i 0.382264 + 0.220700i 0.678803 0.734321i \(-0.262499\pi\)
−0.296539 + 0.955021i \(0.595832\pi\)
\(264\) −12.9917 + 34.4742i −0.799583 + 2.12174i
\(265\) −3.88219 + 12.5858i −0.238481 + 0.773137i
\(266\) 6.79485 32.4563i 0.416619 1.99002i
\(267\) −10.3525 6.85378i −0.633563 0.419445i
\(268\) 10.0349 43.9657i 0.612978 2.68563i
\(269\) 13.0298 + 1.96393i 0.794440 + 0.119743i 0.533708 0.845669i \(-0.320798\pi\)
0.260732 + 0.965411i \(0.416036\pi\)
\(270\) 9.44835 + 26.7089i 0.575008 + 1.62545i
\(271\) −4.58657 + 4.94315i −0.278614 + 0.300275i −0.856819 0.515617i \(-0.827563\pi\)
0.578205 + 0.815892i \(0.303753\pi\)
\(272\) 4.28896 1.32297i 0.260057 0.0802168i
\(273\) 2.59735 1.11542i 0.157199 0.0675083i
\(274\) 23.7313 + 7.32014i 1.43366 + 0.442226i
\(275\) 0.924083 0.533520i 0.0557243 0.0321725i
\(276\) 3.11001 2.55013i 0.187201 0.153500i
\(277\) 18.5880 + 5.73363i 1.11684 + 0.344500i 0.797609 0.603175i \(-0.206098\pi\)
0.319234 + 0.947676i \(0.396574\pi\)
\(278\) 6.61466 4.50980i 0.396721 0.270480i
\(279\) −13.2533 4.78964i −0.793452 0.286748i
\(280\) 21.5956 + 11.9544i 1.29058 + 0.714414i
\(281\) 18.2269 + 7.15355i 1.08733 + 0.426745i 0.840222 0.542243i \(-0.182425\pi\)
0.247107 + 0.968988i \(0.420520\pi\)
\(282\) 9.59192 3.91597i 0.571191 0.233193i
\(283\) −8.44124 + 6.73166i −0.501779 + 0.400156i −0.841405 0.540405i \(-0.818271\pi\)
0.339626 + 0.940561i \(0.389700\pi\)
\(284\) −4.37702 + 9.08897i −0.259728 + 0.539331i
\(285\) 18.0871 + 10.1170i 1.07139 + 0.599282i
\(286\) −4.31934 + 6.33531i −0.255408 + 0.374615i
\(287\) −17.4980 8.04132i −1.03288 0.474664i
\(288\) −0.938338 + 7.62850i −0.0552921 + 0.449514i
\(289\) −0.997848 + 13.3154i −0.0586970 + 0.783257i
\(290\) 30.1149 + 27.9425i 1.76841 + 1.64084i
\(291\) −8.66998 + 18.6482i −0.508243 + 1.09318i
\(292\) 23.7451 + 9.31925i 1.38957 + 0.545368i
\(293\) 8.56348 14.8324i 0.500284 0.866518i −0.499716 0.866189i \(-0.666562\pi\)
1.00000 0.000328097i \(-0.000104437\pi\)
\(294\) −24.3428 + 15.7151i −1.41970 + 0.916521i
\(295\) −14.3723 24.8936i −0.836789 1.44936i
\(296\) −3.46059 22.9595i −0.201143 1.33449i
\(297\) 24.7355 10.8927i 1.43530 0.632060i
\(298\) −44.0612 + 13.5911i −2.55240 + 0.787310i
\(299\) 0.347732 0.167459i 0.0201099 0.00968440i
\(300\) −0.954324 + 0.909955i −0.0550979 + 0.0525363i
\(301\) −15.2040 4.39129i −0.876345 0.253110i
\(302\) −22.0889 1.65533i −1.27107 0.0952536i
\(303\) 0.764647 + 1.28375i 0.0439278 + 0.0737495i
\(304\) −6.94324 10.1839i −0.398222 0.584084i
\(305\) −0.220208 0.0864251i −0.0126091 0.00494869i
\(306\) −12.0395 6.52087i −0.688253 0.372773i
\(307\) −4.73908 + 3.77929i −0.270474 + 0.215696i −0.749328 0.662199i \(-0.769624\pi\)
0.478855 + 0.877894i \(0.341052\pi\)
\(308\) 21.3262 46.4061i 1.21518 2.64424i
\(309\) 0.413053 + 30.3582i 0.0234977 + 1.72702i
\(310\) −1.91394 25.5398i −0.108705 1.45056i
\(311\) −1.99969 8.76121i −0.113392 0.496803i −0.999448 0.0332244i \(-0.989422\pi\)
0.886056 0.463578i \(-0.153435\pi\)
\(312\) 1.54068 4.08827i 0.0872237 0.231453i
\(313\) 17.2783i 0.976625i −0.872669 0.488312i \(-0.837613\pi\)
0.872669 0.488312i \(-0.162387\pi\)
\(314\) 9.31958 + 40.8317i 0.525934 + 2.30427i
\(315\) −4.82380 17.4544i −0.271790 0.983442i
\(316\) 11.0294 48.3229i 0.620452 2.71838i
\(317\) 4.28935 + 0.979015i 0.240914 + 0.0549870i 0.341273 0.939964i \(-0.389142\pi\)
−0.100359 + 0.994951i \(0.531999\pi\)
\(318\) −23.8935 + 0.325095i −1.33988 + 0.0182304i
\(319\) 24.4358 30.6415i 1.36814 1.71559i
\(320\) −23.5955 + 7.27824i −1.31903 + 0.406866i
\(321\) −7.10360 + 10.7298i −0.396484 + 0.598881i
\(322\) −3.22801 + 2.28713i −0.179890 + 0.127457i
\(323\) −9.76478 + 2.22875i −0.543327 + 0.124011i
\(324\) −26.5322 + 20.2882i −1.47401 + 1.12712i
\(325\) −0.109587 + 0.0632699i −0.00607877 + 0.00350958i
\(326\) −4.55983 + 14.7826i −0.252546 + 0.818733i
\(327\) −6.20816 25.5898i −0.343312 1.41512i
\(328\) −27.7063 + 10.8739i −1.52983 + 0.600413i
\(329\) −6.29187 + 2.06570i −0.346882 + 0.113886i
\(330\) 36.4593 + 32.9176i 2.00702 + 1.81206i
\(331\) −3.85303 16.8812i −0.211782 0.927876i −0.963356 0.268227i \(-0.913562\pi\)
0.751574 0.659649i \(-0.229295\pi\)
\(332\) 20.4868 52.1995i 1.12436 2.86482i
\(333\) −10.2543 + 13.6018i −0.561934 + 0.745376i
\(334\) 26.5921 10.4366i 1.45505 0.571067i
\(335\) −22.9064 15.6174i −1.25151 0.853267i
\(336\) −2.06326 + 10.5704i −0.112560 + 0.576664i
\(337\) 16.8928 11.5173i 0.920212 0.627390i −0.00778822 0.999970i \(-0.502479\pi\)
0.928000 + 0.372580i \(0.121527\pi\)
\(338\) −16.9886 + 24.9177i −0.924060 + 1.35535i
\(339\) −0.763818 + 1.15373i −0.0414849 + 0.0626621i
\(340\) 1.20838 16.1247i 0.0655335 0.874484i
\(341\) −24.1605 + 3.64161i −1.30837 + 0.197204i
\(342\) −7.36633 + 36.8712i −0.398326 + 1.99377i
\(343\) 16.2274 8.92583i 0.876199 0.481949i
\(344\) −21.1827 + 12.2298i −1.14209 + 0.659387i
\(345\) −0.760860 2.35253i −0.0409634 0.126656i
\(346\) 11.3968 + 23.6657i 0.612695 + 1.27227i
\(347\) 33.6924 + 7.69006i 1.80870 + 0.412824i 0.987475 0.157778i \(-0.0504331\pi\)
0.821226 + 0.570602i \(0.193290\pi\)
\(348\) −20.4184 + 43.9178i −1.09454 + 2.35424i
\(349\) −25.0083 + 1.87411i −1.33866 + 0.100319i −0.724726 0.689037i \(-0.758034\pi\)
−0.613936 + 0.789356i \(0.710415\pi\)
\(350\) 0.999346 0.826857i 0.0534173 0.0441973i
\(351\) −2.93337 + 1.29176i −0.156572 + 0.0689492i
\(352\) 4.86861 + 12.4050i 0.259498 + 0.661190i
\(353\) −27.1358 + 18.5009i −1.44429 + 0.984703i −0.448432 + 0.893817i \(0.648017\pi\)
−0.995861 + 0.0908857i \(0.971030\pi\)
\(354\) 34.9482 38.7084i 1.85748 2.05733i
\(355\) 4.21828 + 4.54622i 0.223883 + 0.241288i
\(356\) 26.3049 3.96482i 1.39416 0.210135i
\(357\) 7.38335 + 4.69889i 0.390768 + 0.248691i
\(358\) 11.4152 + 1.72057i 0.603313 + 0.0909348i
\(359\) 6.56260 + 9.62556i 0.346361 + 0.508018i 0.959405 0.282030i \(-0.0910079\pi\)
−0.613045 + 0.790048i \(0.710056\pi\)
\(360\) −24.6105 13.3296i −1.29709 0.702532i
\(361\) 4.25240 + 7.36537i 0.223810 + 0.387651i
\(362\) −30.5315 −1.60470
\(363\) 17.0412 21.9757i 0.894429 1.15343i
\(364\) −2.52907 + 5.50328i −0.132559 + 0.288450i
\(365\) 10.6663 11.4955i 0.558298 0.601702i
\(366\) 0.0262476 0.428384i 0.00137198 0.0223920i
\(367\) 1.98206 0.777900i 0.103463 0.0406060i −0.313045 0.949738i \(-0.601349\pi\)
0.416508 + 0.909132i \(0.363254\pi\)
\(368\) −0.219166 + 1.45407i −0.0114248 + 0.0757987i
\(369\) 19.9238 + 8.93541i 1.03719 + 0.465159i
\(370\) −30.1820 6.88884i −1.56909 0.358134i
\(371\) 15.2492 + 0.866682i 0.791701 + 0.0449959i
\(372\) 27.9543 11.4125i 1.44936 0.591712i
\(373\) 2.34351 + 4.05908i 0.121342 + 0.210171i 0.920297 0.391220i \(-0.127947\pi\)
−0.798955 + 0.601391i \(0.794613\pi\)
\(374\) −23.7396 −1.22755
\(375\) −7.16163 17.5420i −0.369825 0.905863i
\(376\) −4.44093 + 9.22170i −0.229024 + 0.475573i
\(377\) −2.89783 + 3.63376i −0.149246 + 0.187148i
\(378\) 27.4373 18.0719i 1.41122 0.929520i
\(379\) 5.42380 + 6.80123i 0.278602 + 0.349356i 0.901369 0.433051i \(-0.142563\pi\)
−0.622767 + 0.782407i \(0.713992\pi\)
\(380\) −43.2911 + 9.88090i −2.22079 + 0.506880i
\(381\) 14.3754 + 12.9789i 0.736472 + 0.664931i
\(382\) 15.4947 + 7.46185i 0.792778 + 0.381782i
\(383\) −6.07330 0.915403i −0.310331 0.0467749i −0.00796978 0.999968i \(-0.502537\pi\)
−0.302362 + 0.953193i \(0.597775\pi\)
\(384\) −20.6388 29.4039i −1.05322 1.50051i
\(385\) −21.7670 22.6272i −1.10935 1.15319i
\(386\) 27.2130 56.5084i 1.38511 2.87620i
\(387\) 17.2847 + 4.82073i 0.878633 + 0.245051i
\(388\) −12.9879 42.1056i −0.659359 2.13759i
\(389\) 19.3479 + 1.44992i 0.980976 + 0.0735140i 0.555553 0.831481i \(-0.312506\pi\)
0.425423 + 0.904995i \(0.360125\pi\)
\(390\) −4.32369 3.90369i −0.218939 0.197671i
\(391\) 1.03485 + 0.597471i 0.0523346 + 0.0302154i
\(392\) 7.44584 27.6393i 0.376072 1.39599i
\(393\) −15.4177 18.8026i −0.777720 0.948466i
\(394\) 21.2121 + 26.5992i 1.06865 + 1.34005i
\(395\) −25.1766 17.1651i −1.26677 0.863671i
\(396\) −23.6974 + 52.8395i −1.19084 + 2.65528i
\(397\) 3.83629 + 0.287490i 0.192538 + 0.0144287i 0.170650 0.985332i \(-0.445413\pi\)
0.0218879 + 0.999760i \(0.493032\pi\)
\(398\) −1.73135 23.1033i −0.0867848 1.15806i
\(399\) 6.35409 23.1781i 0.318102 1.16036i
\(400\) 0.0360289 0.480772i 0.00180145 0.0240386i
\(401\) 4.22550 28.0344i 0.211012 1.39997i −0.592926 0.805257i \(-0.702027\pi\)
0.803938 0.594714i \(-0.202735\pi\)
\(402\) 14.1706 48.2614i 0.706763 2.40706i
\(403\) 2.86519 0.431857i 0.142725 0.0215123i
\(404\) −3.05931 0.943672i −0.152206 0.0469494i
\(405\) 5.65120 + 19.7403i 0.280811 + 0.980905i
\(406\) 23.0728 41.6808i 1.14509 2.06858i
\(407\) −4.40185 + 29.2044i −0.218192 + 1.44761i
\(408\) 13.1453 3.18908i 0.650789 0.157883i
\(409\) 17.9278 4.09191i 0.886473 0.202332i 0.245042 0.969512i \(-0.421198\pi\)
0.641431 + 0.767181i \(0.278341\pi\)
\(410\) 39.6847i 1.95989i
\(411\) 16.8431 + 6.34736i 0.830808 + 0.313092i
\(412\) −44.2467 47.6865i −2.17988 2.34935i
\(413\) −24.0230 + 23.1098i −1.18209 + 1.13716i
\(414\) 3.63624 2.62686i 0.178712 0.129103i
\(415\) −25.2709 23.4480i −1.24050 1.15102i
\(416\) −0.577366 1.47110i −0.0283077 0.0721269i
\(417\) 4.98503 2.96926i 0.244118 0.145405i
\(418\) 19.2156 + 62.2954i 0.939866 + 3.04697i
\(419\) 14.1920 + 13.1682i 0.693324 + 0.643311i 0.945972 0.324248i \(-0.105111\pi\)
−0.252648 + 0.967558i \(0.581302\pi\)
\(420\) 32.7332 + 20.8320i 1.59722 + 1.01650i
\(421\) −18.8589 + 17.4985i −0.919125 + 0.852824i −0.989476 0.144699i \(-0.953779\pi\)
0.0703504 + 0.997522i \(0.477588\pi\)
\(422\) 30.8930 + 17.8361i 1.50385 + 0.868246i
\(423\) 7.11249 2.40771i 0.345821 0.117067i
\(424\) 17.3052 16.0569i 0.840414 0.779790i
\(425\) −0.352979 0.169986i −0.0171220 0.00824551i
\(426\) −5.49280 + 9.81996i −0.266127 + 0.475778i
\(427\) −0.0359905 + 0.271960i −0.00174170 + 0.0131610i
\(428\) −4.10934 27.2637i −0.198632 1.31784i
\(429\) −3.40547 + 4.39159i −0.164418 + 0.212028i
\(430\) 4.86065 + 32.2483i 0.234401 + 1.55515i
\(431\) 19.6353 1.47146i 0.945797 0.0708777i 0.407106 0.913381i \(-0.366538\pi\)
0.538691 + 0.842503i \(0.318919\pi\)
\(432\) 2.22935 12.0067i 0.107259 0.577674i
\(433\) −2.53480 5.26356i −0.121814 0.252950i 0.831140 0.556063i \(-0.187689\pi\)
−0.952955 + 0.303112i \(0.901974\pi\)
\(434\) −28.2188 + 9.26459i −1.35454 + 0.444715i
\(435\) 20.5469 + 21.5488i 0.985150 + 1.03319i
\(436\) 46.6161 + 31.7823i 2.23251 + 1.52210i
\(437\) 0.730190 3.19917i 0.0349297 0.153037i
\(438\) 25.7991 + 11.9946i 1.23273 + 0.573123i
\(439\) −1.75007 + 1.39564i −0.0835263 + 0.0666100i −0.664363 0.747410i \(-0.731297\pi\)
0.580836 + 0.814020i \(0.302726\pi\)
\(440\) −48.5273 −2.31345
\(441\) −18.3065 + 10.2895i −0.871736 + 0.489976i
\(442\) 2.81527 0.133909
\(443\) 15.3251 12.2213i 0.728116 0.580653i −0.187712 0.982224i \(-0.560107\pi\)
0.915828 + 0.401571i \(0.131536\pi\)
\(444\) −3.22237 36.3551i −0.152927 1.72534i
\(445\) 3.63912 15.9440i 0.172511 0.755819i
\(446\) −22.1503 15.1018i −1.04885 0.715091i
\(447\) −32.4769 + 7.87898i −1.53610 + 0.372663i
\(448\) 14.7622 + 24.5366i 0.697449 + 1.15924i
\(449\) −4.07501 8.46185i −0.192312 0.399339i 0.782409 0.622764i \(-0.213990\pi\)
−0.974721 + 0.223425i \(0.928276\pi\)
\(450\) −1.12449 + 0.947934i −0.0530092 + 0.0446861i
\(451\) 37.7535 2.82924i 1.77774 0.133224i
\(452\) −0.441859 2.93154i −0.0207833 0.137888i
\(453\) −15.9060 2.17656i −0.747329 0.102264i
\(454\) −5.85822 38.8667i −0.274940 1.82411i
\(455\) 2.58134 + 2.68335i 0.121015 + 0.125797i
\(456\) −19.0087 31.9133i −0.890164 1.49448i
\(457\) 14.7219 + 7.08970i 0.688662 + 0.331642i 0.745278 0.666754i \(-0.232317\pi\)
−0.0566159 + 0.998396i \(0.518031\pi\)
\(458\) 30.7219 28.5057i 1.43554 1.33198i
\(459\) −8.42051 5.25093i −0.393036 0.245092i
\(460\) 4.58789 + 2.64882i 0.213912 + 0.123502i
\(461\) −17.8625 + 16.5740i −0.831941 + 0.771928i −0.976030 0.217636i \(-0.930165\pi\)
0.144089 + 0.989565i \(0.453975\pi\)
\(462\) 26.9074 50.2081i 1.25185 2.33589i
\(463\) −11.5118 10.6814i −0.535001 0.496408i 0.365769 0.930706i \(-0.380806\pi\)
−0.900769 + 0.434298i \(0.856997\pi\)
\(464\) −5.21955 16.9214i −0.242312 0.785555i
\(465\) −0.252536 18.5607i −0.0117111 0.860730i
\(466\) −17.8853 45.5709i −0.828519 2.11103i
\(467\) 24.4592 + 22.6948i 1.13184 + 1.05019i 0.998249 + 0.0591522i \(0.0188397\pi\)
0.133586 + 0.991037i \(0.457351\pi\)
\(468\) 2.81027 6.26621i 0.129905 0.289656i
\(469\) −11.2044 + 30.1347i −0.517373 + 1.39149i
\(470\) 9.28229 + 10.0039i 0.428160 + 0.461447i
\(471\) 4.93206 + 29.9513i 0.227257 + 1.38008i
\(472\) 51.5208i 2.37144i
\(473\) 30.3325 6.92319i 1.39469 0.318329i
\(474\) 15.5749 53.0444i 0.715380 2.43641i
\(475\) −0.160349 + 1.06385i −0.00735732 + 0.0488126i
\(476\) −18.4889 + 3.12857i −0.847435 + 0.143398i
\(477\) −17.2993 0.823889i −0.792081 0.0377233i
\(478\) 61.4247 + 18.9470i 2.80950 + 0.866617i
\(479\) −38.0150 + 5.72984i −1.73695 + 0.261803i −0.939738 0.341895i \(-0.888931\pi\)
−0.797213 + 0.603698i \(0.793693\pi\)
\(480\) −9.83869 + 2.38689i −0.449073 + 0.108946i
\(481\) 0.522014 3.46333i 0.0238018 0.157914i
\(482\) 3.05093 40.7119i 0.138966 1.85437i
\(483\) −2.43656 + 1.51146i −0.110867 + 0.0687737i
\(484\) 4.45271 + 59.4172i 0.202396 + 2.70078i
\(485\) −27.0129 2.02434i −1.22659 0.0919204i
\(486\) −30.9215 + 20.7765i −1.40263 + 0.942441i
\(487\) 15.4696 + 10.5470i 0.700995 + 0.477930i 0.860620 0.509248i \(-0.170076\pi\)
−0.159625 + 0.987178i \(0.551029\pi\)
\(488\) 0.264361 + 0.331498i 0.0119670 + 0.0150062i
\(489\) −3.95387 + 10.4918i −0.178800 + 0.474456i
\(490\) −30.6776 22.7050i −1.38587 1.02571i
\(491\) −12.8248 7.40437i −0.578773 0.334155i 0.181873 0.983322i \(-0.441784\pi\)
−0.760646 + 0.649167i \(0.775117\pi\)
\(492\) −44.5153 + 14.3972i −2.00690 + 0.649078i
\(493\) −14.3496 1.07535i −0.646272 0.0484314i
\(494\) −2.27877 7.38759i −0.102527 0.332383i
\(495\) 24.9161 + 25.4291i 1.11989 + 1.14295i
\(496\) −4.78997 + 9.94648i −0.215076 + 0.446610i
\(497\) 3.94362 6.01436i 0.176895 0.269781i
\(498\) 26.3680 56.7149i 1.18158 2.54146i
\(499\) −3.39045 0.511029i −0.151778 0.0228768i 0.0727139 0.997353i \(-0.476834\pi\)
−0.224491 + 0.974476i \(0.572072\pi\)
\(500\) 36.5769 + 17.6145i 1.63577 + 0.787745i
\(501\) 19.6997 6.37131i 0.880116 0.284649i
\(502\) −12.9806 + 2.96273i −0.579351 + 0.132233i
\(503\) 7.17705 + 8.99973i 0.320009 + 0.401278i 0.915653 0.401970i \(-0.131675\pi\)
−0.595644 + 0.803249i \(0.703103\pi\)
\(504\) −8.15462 + 31.4162i −0.363235 + 1.39939i
\(505\) −1.22716 + 1.53881i −0.0546078 + 0.0684760i
\(506\) 3.37460 7.00743i 0.150019 0.311518i
\(507\) −13.3943 + 17.2728i −0.594860 + 0.767112i
\(508\) −41.4974 −1.84115
\(509\) −5.94460 10.2963i −0.263490 0.456377i 0.703677 0.710520i \(-0.251540\pi\)
−0.967167 + 0.254142i \(0.918207\pi\)
\(510\) 2.44515 17.8688i 0.108273 0.791243i
\(511\) −15.9105 8.80740i −0.703838 0.389617i
\(512\) 24.6092 + 5.61690i 1.08759 + 0.248234i
\(513\) −6.96319 + 26.3466i −0.307432 + 1.16323i
\(514\) −2.65673 + 17.6263i −0.117184 + 0.777462i
\(515\) −37.2274 + 14.6107i −1.64044 + 0.643824i
\(516\) −34.4103 + 17.1517i −1.51483 + 0.755061i
\(517\) 8.85535 9.54380i 0.389458 0.419736i
\(518\) 0.647135 + 35.8953i 0.0284335 + 1.57715i
\(519\) 7.19562 + 17.6252i 0.315853 + 0.773661i
\(520\) 5.75483 0.252366
\(521\) −12.6917 21.9826i −0.556032 0.963075i −0.997822 0.0659572i \(-0.978990\pi\)
0.441791 0.897118i \(-0.354343\pi\)
\(522\) −25.7270 + 47.4999i −1.12604 + 2.07901i
\(523\) −14.7381 21.6169i −0.644454 0.945240i −0.999944 0.0105602i \(-0.996639\pi\)
0.355490 0.934680i \(-0.384314\pi\)
\(524\) 51.5169 + 7.76492i 2.25053 + 0.339212i
\(525\) 0.759590 0.553863i 0.0331512 0.0241726i
\(526\) −16.9158 + 2.54965i −0.737565 + 0.111170i
\(527\) 6.10186 + 6.57624i 0.265801 + 0.286465i
\(528\) −6.51566 20.1460i −0.283557 0.876740i
\(529\) 18.6800 12.7358i 0.812175 0.553732i
\(530\) −11.4994 29.3000i −0.499502 1.27271i
\(531\) 26.9977 26.4531i 1.17160 1.14797i
\(532\) 23.1752 + 45.9844i 1.00477 + 1.99368i
\(533\) −4.47717 + 0.335518i −0.193928 + 0.0145329i
\(534\) 29.5550 2.61964i 1.27897 0.113363i
\(535\) −16.5252 3.77176i −0.714445 0.163067i
\(536\) 21.5601 + 44.7701i 0.931256 + 1.93377i
\(537\) 8.18165 + 1.75065i 0.353064 + 0.0755462i
\(538\) −27.2714 + 15.7451i −1.17575 + 0.678821i
\(539\) −19.4130 + 30.8035i −0.836178 + 1.32680i
\(540\) −37.3314 23.2794i −1.60649 1.00179i
\(541\) −29.6823 + 4.47388i −1.27614 + 0.192347i −0.751931 0.659242i \(-0.770877\pi\)
−0.524209 + 0.851589i \(0.675639\pi\)
\(542\) 1.20427 16.0699i 0.0517280 0.690262i
\(543\) −22.0869 1.35329i −0.947838 0.0580752i
\(544\) 2.75626 4.04269i 0.118174 0.173329i
\(545\) 28.6581 19.5387i 1.22758 0.836947i
\(546\) −3.19094 + 5.95415i −0.136559 + 0.254814i
\(547\) 21.3645 + 14.5660i 0.913478 + 0.622799i 0.926164 0.377121i \(-0.123086\pi\)
−0.0126860 + 0.999920i \(0.504038\pi\)
\(548\) −35.8999 + 14.0897i −1.53357 + 0.601881i
\(549\) 0.0379757 0.308735i 0.00162076 0.0131765i
\(550\) −0.931622 + 2.37373i −0.0397245 + 0.101216i
\(551\) 8.79314 + 38.5253i 0.374601 + 1.64123i
\(552\) −0.927260 + 4.33354i −0.0394668 + 0.184448i
\(553\) −12.3149 + 33.1212i −0.523682 + 1.40846i
\(554\) −43.2733 + 16.9835i −1.83851 + 0.721560i
\(555\) −21.5287 6.32128i −0.913842 0.268323i
\(556\) −3.66445 + 11.8798i −0.155407 + 0.503817i
\(557\) −18.4058 + 10.6266i −0.779879 + 0.450263i −0.836387 0.548139i \(-0.815337\pi\)
0.0565085 + 0.998402i \(0.482003\pi\)
\(558\) 31.8992 10.7985i 1.35040 0.457136i
\(559\) −3.59711 + 0.821018i −0.152142 + 0.0347253i
\(560\) −13.9874 + 2.36687i −0.591076 + 0.100018i
\(561\) −17.1736 1.05224i −0.725068 0.0444258i
\(562\) −44.7144 + 13.7926i −1.88616 + 0.581805i
\(563\) −16.5225 + 20.7186i −0.696342 + 0.873185i −0.996744 0.0806272i \(-0.974308\pi\)
0.300402 + 0.953813i \(0.402879\pi\)
\(564\) −7.85412 + 14.0415i −0.330718 + 0.591254i
\(565\) −1.77688 0.405561i −0.0747538 0.0170621i
\(566\) 5.74149 25.1551i 0.241333 1.05735i
\(567\) 20.6495 11.8573i 0.867199 0.497961i
\(568\) −2.47350 10.8371i −0.103786 0.454716i
\(569\) 8.01207i 0.335884i 0.985797 + 0.167942i \(0.0537121\pi\)
−0.985797 + 0.167942i \(0.946288\pi\)
\(570\) −48.8688 + 8.04720i −2.04689 + 0.337060i
\(571\) 1.14536 + 5.01813i 0.0479316 + 0.210002i 0.993223 0.116225i \(-0.0370795\pi\)
−0.945291 + 0.326228i \(0.894222\pi\)
\(572\) −0.889820 11.8738i −0.0372053 0.496470i
\(573\) 10.8783 + 6.08479i 0.454448 + 0.254196i
\(574\) 44.6753 11.0477i 1.86471 0.461123i
\(575\) 0.100352 0.0800282i 0.00418498 0.00333741i
\(576\) −16.9936 27.6670i −0.708065 1.15279i
\(577\) −12.0713 4.73762i −0.502533 0.197230i 0.100513 0.994936i \(-0.467952\pi\)
−0.603047 + 0.797706i \(0.706047\pi\)
\(578\) −17.9757 26.3655i −0.747689 1.09666i
\(579\) 22.1909 39.6727i 0.922224 1.64874i
\(580\) −63.6172 4.76745i −2.64156 0.197958i
\(581\) −19.3616 + 34.9765i −0.803254 + 1.45107i
\(582\) −11.5870 47.7610i −0.480295 1.97976i
\(583\) −27.0543 + 13.0287i −1.12048 + 0.539593i
\(584\) −26.8586 + 8.28477i −1.11142 + 0.342826i
\(585\) −2.95478 3.01562i −0.122165 0.124681i
\(586\) 6.10029 + 40.4728i 0.252001 + 1.67192i
\(587\) 10.5278 + 18.2346i 0.434527 + 0.752624i 0.997257 0.0740175i \(-0.0235821\pi\)
−0.562730 + 0.826641i \(0.690249\pi\)
\(588\) 14.3392 42.6490i 0.591338 1.75881i
\(589\) 12.3177 21.3350i 0.507544 0.879091i
\(590\) 63.9453 + 25.0967i 2.63258 + 1.03321i
\(591\) 14.1661 + 20.1824i 0.582717 + 0.830193i
\(592\) 9.78218 + 9.07654i 0.402045 + 0.373044i
\(593\) −0.231356 + 3.08723i −0.00950063 + 0.126777i −0.999937 0.0111904i \(-0.996438\pi\)
0.990437 + 0.137968i \(0.0440570\pi\)
\(594\) −29.9860 + 57.2084i −1.23034 + 2.34729i
\(595\) −2.36220 + 11.2833i −0.0968408 + 0.462571i
\(596\) 40.3360 59.1620i 1.65223 2.42337i
\(597\) −0.228443 16.7899i −0.00934956 0.687167i
\(598\) −0.400192 + 0.831008i −0.0163651 + 0.0339825i
\(599\) 22.7681 18.1570i 0.930279 0.741873i −0.0360047 0.999352i \(-0.511463\pi\)
0.966284 + 0.257479i \(0.0828917\pi\)
\(600\) 0.196987 1.43955i 0.00804196 0.0587694i
\(601\) 2.02988 + 0.796669i 0.0828005 + 0.0324968i 0.406380 0.913704i \(-0.366791\pi\)
−0.323579 + 0.946201i \(0.604886\pi\)
\(602\) 34.9505 14.4494i 1.42448 0.588914i
\(603\) 12.3903 34.2848i 0.504573 1.39619i
\(604\) 28.4210 19.3771i 1.15643 0.788444i
\(605\) 35.0028 + 10.7969i 1.42307 + 0.438958i
\(606\) −3.34148 1.25925i −0.135738 0.0511534i
\(607\) 18.3324 10.5842i 0.744088 0.429600i −0.0794657 0.996838i \(-0.525321\pi\)
0.823554 + 0.567238i \(0.191988\pi\)
\(608\) −12.8395 3.96045i −0.520709 0.160617i
\(609\) 18.5387 29.1297i 0.751224 1.18040i
\(610\) 0.540214 0.166634i 0.0218726 0.00674682i
\(611\) −1.05015 + 1.13179i −0.0424846 + 0.0457875i
\(612\) 20.9309 3.73985i 0.846083 0.151174i
\(613\) −37.7894 5.69583i −1.52630 0.230052i −0.668373 0.743826i \(-0.733009\pi\)
−0.857926 + 0.513774i \(0.828247\pi\)
\(614\) 3.22339 14.1226i 0.130085 0.569941i
\(615\) −1.75900 + 28.7084i −0.0709297 + 1.15764i
\(616\) 13.5094 + 54.6298i 0.544308 + 2.20110i
\(617\) −1.54879 + 5.02104i −0.0623518 + 0.202140i −0.981389 0.192032i \(-0.938492\pi\)
0.919037 + 0.394172i \(0.128968\pi\)
\(618\) −46.0059 56.1064i −1.85063 2.25693i
\(619\) 30.1560 + 17.4106i 1.21207 + 0.699791i 0.963211 0.268748i \(-0.0866099\pi\)
0.248863 + 0.968539i \(0.419943\pi\)
\(620\) 27.0519 + 29.1550i 1.08643 + 1.17089i
\(621\) 2.74694 1.73913i 0.110231 0.0697889i
\(622\) 16.7906 + 13.3900i 0.673241 + 0.536892i
\(623\) −18.9621 + 0.341857i −0.759702 + 0.0136962i
\(624\) 0.772688 + 2.38910i 0.0309323 + 0.0956405i
\(625\) 19.0473 17.6734i 0.761894 0.706934i
\(626\) 25.7448 + 32.2830i 1.02897 + 1.29029i
\(627\) 11.1396 + 45.9170i 0.444873 + 1.83375i
\(628\) −50.8491 40.5508i −2.02910 1.61815i
\(629\) 9.76999 4.70498i 0.389555 0.187600i
\(630\) 35.0201 + 25.4245i 1.39523 + 1.01294i
\(631\) −4.39900 2.11845i −0.175122 0.0843341i 0.344269 0.938871i \(-0.388127\pi\)
−0.519391 + 0.854537i \(0.673841\pi\)
\(632\) 23.6969 + 49.2070i 0.942610 + 1.95735i
\(633\) 21.5578 + 14.2722i 0.856846 + 0.567267i
\(634\) −9.47303 + 4.56197i −0.376222 + 0.181179i
\(635\) −9.32030 + 23.7477i −0.369865 + 0.942400i
\(636\) 28.6946 23.5289i 1.13782 0.932982i
\(637\) 2.30218 3.65297i 0.0912157 0.144736i
\(638\) 93.6607i 3.70806i
\(639\) −4.40882 + 6.86042i −0.174410 + 0.271394i
\(640\) 26.6562 39.0974i 1.05368 1.54546i
\(641\) 5.38282 5.80130i 0.212609 0.229138i −0.617739 0.786383i \(-0.711951\pi\)
0.830348 + 0.557245i \(0.188142\pi\)
\(642\) −2.71512 30.6323i −0.107157 1.20896i
\(643\) 18.0279 + 26.4421i 0.710952 + 1.04278i 0.996433 + 0.0843908i \(0.0268944\pi\)
−0.285481 + 0.958384i \(0.592153\pi\)
\(644\) 1.70471 5.90224i 0.0671751 0.232581i
\(645\) 2.08687 + 23.5443i 0.0821704 + 0.927055i
\(646\) 14.9238 18.7139i 0.587170 0.736288i
\(647\) −1.21356 16.1938i −0.0477099 0.636644i −0.968887 0.247502i \(-0.920390\pi\)
0.921178 0.389142i \(-0.127229\pi\)
\(648\) 8.91893 35.7060i 0.350369 1.40267i
\(649\) 19.3165 62.6227i 0.758241 2.45816i
\(650\) 0.110481 0.281500i 0.00433341 0.0110413i
\(651\) −20.8245 + 5.45135i −0.816175 + 0.213655i
\(652\) −8.77668 22.3626i −0.343721 0.875788i
\(653\) 10.2848 0.770737i 0.402474 0.0301613i 0.128044 0.991768i \(-0.459130\pi\)
0.274430 + 0.961607i \(0.411511\pi\)
\(654\) 49.7286 + 38.5622i 1.94454 + 1.50790i
\(655\) 16.0143 27.7376i 0.625731 1.08380i
\(656\) 8.55301 14.8142i 0.333939 0.578399i
\(657\) 18.1317 + 9.82055i 0.707386 + 0.383136i
\(658\) 8.67791 13.2346i 0.338300 0.515937i
\(659\) −7.76847 25.1847i −0.302616 0.981058i −0.971369 0.237574i \(-0.923648\pi\)
0.668753 0.743485i \(-0.266828\pi\)
\(660\) −76.1371 4.66501i −2.96363 0.181585i
\(661\) 4.79058 + 3.82036i 0.186332 + 0.148595i 0.712213 0.701963i \(-0.247693\pi\)
−0.525881 + 0.850558i \(0.676264\pi\)
\(662\) 32.3523 + 25.8001i 1.25741 + 1.00275i
\(663\) 2.03660 + 0.124785i 0.0790952 + 0.00484626i
\(664\) 18.2127 + 59.0440i 0.706788 + 2.29135i
\(665\) 31.5207 2.93438i 1.22232 0.113790i
\(666\) −1.10754 40.6930i −0.0429163 1.57682i
\(667\) 2.35722 4.08282i 0.0912719 0.158088i
\(668\) −22.1807 + 38.4182i −0.858199 + 1.48644i
\(669\) −15.3544 11.9066i −0.593636 0.460337i
\(670\) 66.0689 4.95118i 2.55246 0.191281i
\(671\) −0.197039 0.502046i −0.00760659 0.0193813i
\(672\) 5.42603 + 10.4115i 0.209314 + 0.401631i
\(673\) 0.364579 0.928931i 0.0140535 0.0358077i −0.923675 0.383177i \(-0.874830\pi\)
0.937728 + 0.347370i \(0.112925\pi\)
\(674\) −14.4019 + 46.6898i −0.554740 + 1.79842i
\(675\) −0.855490 + 0.635905i −0.0329278 + 0.0244760i
\(676\) −3.49980 46.7016i −0.134608 1.79621i
\(677\) −1.18452 + 1.48535i −0.0455249 + 0.0570865i −0.804073 0.594531i \(-0.797338\pi\)
0.758548 + 0.651617i \(0.225909\pi\)
\(678\) −0.291945 3.29375i −0.0112121 0.126496i
\(679\) 5.24114 + 30.9735i 0.201137 + 1.18865i
\(680\) 10.0369 + 14.7214i 0.384897 + 0.564541i
\(681\) −2.51517 28.3764i −0.0963814 1.08738i
\(682\) 39.7159 42.8036i 1.52080 1.63903i
\(683\) −1.31320 + 1.92611i −0.0502481 + 0.0737004i −0.850541 0.525909i \(-0.823725\pi\)
0.800293 + 0.599610i \(0.204678\pi\)
\(684\) −26.7559 51.8979i −1.02304 1.98437i
\(685\) 23.7090i 0.905875i
\(686\) −17.0200 + 40.8563i −0.649827 + 1.55990i
\(687\) 23.4881 19.2597i 0.896126 0.734802i
\(688\) 5.13581 13.0858i 0.195801 0.498892i
\(689\) 3.20836 1.54506i 0.122229 0.0588623i
\(690\) 4.92690 + 3.26181i 0.187564 + 0.124175i
\(691\) 0.0948732 + 0.197006i 0.00360915 + 0.00749447i 0.902766 0.430133i \(-0.141533\pi\)
−0.899157 + 0.437627i \(0.855819\pi\)
\(692\) −36.7505 17.6981i −1.39705 0.672782i
\(693\) 21.6906 35.1285i 0.823958 1.33442i
\(694\) −74.4097 + 35.8338i −2.82455 + 1.36023i
\(695\) 5.97545 + 4.76527i 0.226662 + 0.180757i
\(696\) −12.5820 51.8625i −0.476919 1.96584i
\(697\) −8.66685 10.8679i −0.328280 0.411651i
\(698\) 43.9334 40.7643i 1.66290 1.54295i
\(699\) −10.9185 33.7593i −0.412977 1.27690i
\(700\) −0.412737 + 1.97148i −0.0156000 + 0.0745150i
\(701\) 31.4744 + 25.1000i 1.18877 + 0.948015i 0.999425 0.0338947i \(-0.0107911\pi\)
0.189348 + 0.981910i \(0.439363\pi\)
\(702\) 3.55603 6.78432i 0.134214 0.256058i
\(703\) −20.2545 21.8292i −0.763914 0.823303i
\(704\) −48.7536 28.1479i −1.83747 1.06087i
\(705\) 6.27151 + 7.64840i 0.236199 + 0.288056i
\(706\) 23.1345 75.0001i 0.870677 2.82267i
\(707\) 2.07394 + 0.953094i 0.0779987 + 0.0358448i
\(708\) −4.95278 + 80.8338i −0.186137 + 3.03792i
\(709\) 6.07496 26.6161i 0.228150 0.999590i −0.722997 0.690851i \(-0.757236\pi\)
0.951147 0.308739i \(-0.0999068\pi\)
\(710\) −14.6554 2.20895i −0.550008 0.0829004i
\(711\) 13.6183 37.6826i 0.510725 1.41321i
\(712\) −19.9375 + 21.4875i −0.747189 + 0.805278i
\(713\) −2.80855 + 0.866322i −0.105181 + 0.0324440i
\(714\) −20.7966 + 2.22180i −0.778292 + 0.0831489i
\(715\) −6.99490 2.15764i −0.261594 0.0806912i
\(716\) −15.5252 + 8.96348i −0.580204 + 0.334981i
\(717\) 43.5956 + 16.4291i 1.62811 + 0.613557i
\(718\) −26.6039 8.20621i −0.992848 0.306253i
\(719\) 19.2131 13.0992i 0.716526 0.488519i −0.149346 0.988785i \(-0.547717\pi\)
0.865872 + 0.500266i \(0.166764\pi\)
\(720\) 15.8349 2.82932i 0.590133 0.105442i
\(721\) 26.8117 + 37.8415i 0.998520 + 1.40929i
\(722\) −18.9197 7.42545i −0.704120 0.276347i
\(723\) 4.01161 29.3162i 0.149193 1.09028i
\(724\) 37.0685 29.5612i 1.37764 1.09863i
\(725\) −0.670649 + 1.39262i −0.0249073 + 0.0517205i
\(726\) 0.904135 + 66.4514i 0.0335556 + 2.46624i
\(727\) −23.2845 + 34.1522i −0.863576 + 1.26663i 0.0988537 + 0.995102i \(0.468482\pi\)
−0.962430 + 0.271531i \(0.912470\pi\)
\(728\) −1.60207 6.47852i −0.0593767 0.240110i
\(729\) −23.2899 + 13.6594i −0.862590 + 0.505904i
\(730\) −2.80059 + 37.3713i −0.103654 + 1.38317i
\(731\) −8.37391 7.76985i −0.309720 0.287378i
\(732\) 0.382902 + 0.545518i 0.0141525 + 0.0201629i
\(733\) −28.9659 11.3683i −1.06988 0.419897i −0.235950 0.971765i \(-0.575820\pi\)
−0.833932 + 0.551868i \(0.813915\pi\)
\(734\) −2.54423 + 4.40673i −0.0939092 + 0.162655i
\(735\) −21.1862 17.7849i −0.781464 0.656004i
\(736\) 0.801512 + 1.38826i 0.0295441 + 0.0511719i
\(737\) −9.42048 62.5008i −0.347008 2.30225i
\(738\) −50.5398 + 12.9916i −1.86040 + 0.478228i
\(739\) −7.05135 + 2.17505i −0.259388 + 0.0800107i −0.421722 0.906725i \(-0.638574\pi\)
0.162334 + 0.986736i \(0.448098\pi\)
\(740\) 43.3142 20.8590i 1.59226 0.766792i
\(741\) −1.32104 5.44528i −0.0485296 0.200037i
\(742\) −29.7833 + 21.1022i −1.09338 + 0.774688i
\(743\) −11.6020 0.869446i −0.425634 0.0318969i −0.139809 0.990179i \(-0.544649\pi\)
−0.285826 + 0.958282i \(0.592268\pi\)
\(744\) −16.2417 + 29.0368i −0.595450 + 1.06454i
\(745\) −24.7972 36.3709i −0.908501 1.33253i
\(746\) −10.4267 4.09219i −0.381750 0.149826i
\(747\) 21.5888 39.8595i 0.789894 1.45838i
\(748\) 28.8225 22.9852i 1.05386 0.840422i
\(749\) 0.354318 + 19.6533i 0.0129465 + 0.718116i
\(750\) 39.5187 + 22.1048i 1.44302 + 0.807152i
\(751\) 2.77419 + 37.0189i 0.101231 + 1.35084i 0.784253 + 0.620441i \(0.213047\pi\)
−0.683021 + 0.730398i \(0.739334\pi\)
\(752\) −1.30898 5.73501i −0.0477335 0.209134i
\(753\) −9.52163 + 1.56792i −0.346988 + 0.0571382i
\(754\) 11.1072i 0.404500i
\(755\) −4.70561 20.6166i −0.171255 0.750315i
\(756\) −15.8143 + 48.5067i −0.575161 + 1.76417i
\(757\) −8.45735 + 37.0541i −0.307388 + 1.34675i 0.551323 + 0.834292i \(0.314123\pi\)
−0.858711 + 0.512461i \(0.828734\pi\)
\(758\) −20.2679 4.62601i −0.736162 0.168024i
\(759\) 2.75183 4.91969i 0.0998851 0.178573i
\(760\) 30.5065 38.2539i 1.10659 1.38761i
\(761\) 6.74462 2.08044i 0.244492 0.0754158i −0.170087 0.985429i \(-0.554405\pi\)
0.414579 + 0.910013i \(0.363929\pi\)
\(762\) −46.1980 2.83060i −1.67358 0.102542i
\(763\) −29.9739 26.8226i −1.08513 0.971044i
\(764\) −26.0370 + 5.94277i −0.941985 + 0.215002i
\(765\) 2.56088 12.8181i 0.0925886 0.463440i
\(766\) 12.7114 7.33895i 0.459283 0.265167i
\(767\) −2.29074 + 7.42640i −0.0827138 + 0.268152i
\(768\) 46.4005 + 13.6242i 1.67434 + 0.491620i
\(769\) 20.8070 8.16614i 0.750319 0.294478i 0.0408023 0.999167i \(-0.487009\pi\)
0.709517 + 0.704689i \(0.248913\pi\)
\(770\) 74.3847 + 9.84390i 2.68064 + 0.354750i
\(771\) −2.70319