Properties

Label 441.2.bn.a.353.6
Level $441$
Weight $2$
Character 441.353
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 353.6
Character \(\chi\) \(=\) 441.353
Dual form 441.2.bn.a.5.6

$q$-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 \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{13}{42}\right)\) \(e\left(\frac{1}{6}\right)\)

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 −0.994085 0.108604i \(-0.965362\pi\)
−0.327086 0.944995i \(-0.606067\pi\)
\(3\) −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 −0.906011 0.423254i \(-0.860888\pi\)
0.0629931 + 0.998014i \(0.479935\pi\)
\(6\) 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 0.496763 + 0.867886i \(0.334522\pi\)
−0.730507 + 0.682905i \(0.760716\pi\)
\(12\) 2.42955 5.95102i 0.701349 1.71791i
\(13\) 0.0919355 0.609952i 0.0254983 0.169170i −0.972457 0.233081i \(-0.925119\pi\)
0.997956 + 0.0639108i \(0.0203573\pi\)
\(14\) −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 0.491908 0.870647i \(-0.336300\pi\)
−0.831452 + 0.555596i \(0.812490\pi\)
\(18\) 2.29882 6.79084i 0.541838 1.60062i
\(19\) 4.54187 2.62225i 1.04198 0.601586i 0.121584 0.992581i \(-0.461203\pi\)
0.920393 + 0.390996i \(0.127869\pi\)
\(20\) −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 −0.972765 0.231793i \(-0.925541\pi\)
0.934310 + 0.356462i \(0.116017\pi\)
\(24\) −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 −0.0479640 0.998849i \(-0.515273\pi\)
0.999640 0.0268142i \(-0.00853625\pi\)
\(30\) −7.30252 5.98789i −1.33325 1.09323i
\(31\) 4.69739i 0.843677i 0.906671 + 0.421838i \(0.138615\pi\)
−0.906671 + 0.421838i \(0.861385\pi\)
\(32\) −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 −0.706678 0.707536i \(-0.749807\pi\)
−0.185315 + 0.982679i \(0.559331\pi\)
\(38\) −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 −0.862952 0.505285i \(-0.831387\pi\)
0.778005 0.628258i \(-0.216232\pi\)
\(42\) 8.77383 6.55389i 1.35383 1.01129i
\(43\) 0.446996 5.96474i 0.0681662 0.909615i −0.853366 0.521312i \(-0.825443\pi\)
0.921532 0.388302i \(-0.126938\pi\)
\(44\) −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 −0.654877 0.755736i \(-0.727279\pi\)
0.882512 + 0.470290i \(0.155851\pi\)
\(48\) 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 0.760386 + 0.649471i \(0.225010\pi\)
−0.994121 + 0.108278i \(0.965466\pi\)
\(54\) −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 0.490658 0.871352i \(-0.336756\pi\)
0.987171 + 0.159667i \(0.0510420\pi\)
\(60\) 3.06846 + 14.3404i 0.396136 + 1.85134i
\(61\) 0.101088 + 0.0230726i 0.0129429 + 0.00295414i 0.228988 0.973429i \(-0.426459\pi\)
−0.216045 + 0.976384i \(0.569316\pi\)
\(62\) 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 −0.376865 0.926268i \(-0.622998\pi\)
0.0623490 + 0.998054i \(0.480141\pi\)
\(72\) 12.2039 + 1.24926i 1.43825 + 0.147227i
\(73\) −1.02444 6.79671i −0.119902 0.795495i −0.965259 0.261294i \(-0.915851\pi\)
0.845358 0.534201i \(-0.179387\pi\)
\(74\) 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 0.736727 0.676190i \(-0.236370\pi\)
0.903307 + 0.428995i \(0.141132\pi\)
\(84\) −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 −0.722281 0.691600i \(-0.756906\pi\)
0.999877 0.0157024i \(-0.00499843\pi\)
\(90\) 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 0.920974 0.389624i \(-0.127395\pi\)
0.123063 + 0.992399i \(0.460728\pi\)
\(98\) 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 0.999492 0.0318609i \(-0.0101433\pi\)
−0.993077 + 0.117462i \(0.962524\pi\)
\(102\) 3.52647 7.07493i 0.349173 0.700522i
\(103\) 9.87441 + 14.4831i 0.972954 + 1.42706i 0.903063 + 0.429507i \(0.141313\pi\)
0.0698909 + 0.997555i \(0.477735\pi\)
\(104\) −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 0.675262 0.737578i \(-0.264030\pi\)
−0.00667807 + 0.999978i \(0.502126\pi\)
\(108\) 19.2675 + 0.786847i 1.85402 + 0.0757144i
\(109\) −5.55422 14.1519i −0.531998 1.35551i −0.904101 0.427318i \(-0.859458\pi\)
0.372103 0.928191i \(-0.378637\pi\)
\(110\) −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 0.400061 0.916489i \(-0.368989\pi\)
−0.330105 + 0.943944i \(0.607084\pi\)
\(114\) 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 0.736091 + 0.676882i \(0.236669\pi\)
−0.956883 + 0.290472i \(0.906188\pi\)
\(128\) 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 −0.741829 0.670589i \(-0.766041\pi\)
0.833489 0.552535i \(-0.186340\pi\)
\(132\) 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 −0.990434 0.137986i \(-0.955937\pi\)
0.490293 + 0.871557i \(0.336890\pi\)
\(138\) −2.58966 0.0352348i −0.220446 0.00299938i
\(139\) −3.34061 + 0.250344i −0.283347 + 0.0212339i −0.215645 0.976472i \(-0.569186\pi\)
−0.0677012 + 0.997706i \(0.521566\pi\)
\(140\) −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 0.511861 0.859069i \(-0.328956\pi\)
0.959535 + 0.281588i \(0.0908612\pi\)
\(150\) 0.845814 + 0.0749696i 0.0690604 + 0.00612124i
\(151\) 6.79459 6.30446i 0.552936 0.513049i −0.353477 0.935443i \(-0.615001\pi\)
0.906412 + 0.422394i \(0.138810\pi\)
\(152\) −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 0.947438 + 0.319941i \(0.103663\pi\)
−0.340578 + 0.940216i \(0.610623\pi\)
\(158\) −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 0.754381 0.656437i \(-0.227937\pi\)
−0.335454 + 0.942057i \(0.608890\pi\)
\(164\) 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 −0.703289 0.710904i \(-0.748286\pi\)
−0.180618 + 0.983553i \(0.557810\pi\)
\(168\) 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 0.978723 + 0.205184i \(0.0657792\pi\)
−0.792773 + 0.609516i \(0.791364\pi\)
\(174\) 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 −0.843798 0.536661i \(-0.819685\pi\)
0.598217 + 0.801334i \(0.295876\pi\)
\(180\) 9.91972 23.3835i 0.739372 1.74290i
\(181\) 9.98850 7.96556i 0.742439 0.592075i −0.177507 0.984119i \(-0.556803\pi\)
0.919946 + 0.392044i \(0.128232\pi\)
\(182\) 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 −0.982861 0.184349i \(-0.940982\pi\)
0.756933 + 0.653492i \(0.226697\pi\)
\(192\) −1.14644 18.7110i −0.0827374 1.35035i
\(193\) −23.6457 11.3872i −1.70206 0.819667i −0.993477 0.114035i \(-0.963622\pi\)
−0.708579 0.705632i \(-0.750663\pi\)
\(194\) −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 \(0.169299\pi\)
−0.861861 + 0.507144i \(0.830701\pi\)
\(198\) 33.1458 + 17.0883i 2.35557 + 1.21441i
\(199\) −5.46115 8.01003i −0.387131 0.567816i 0.582364 0.812928i \(-0.302128\pi\)
−0.969495 + 0.245112i \(0.921175\pi\)
\(200\) −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 0.610890 + 0.791715i \(0.290812\pi\)
−0.986317 + 0.164858i \(0.947284\pi\)
\(212\) −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 −0.774895 0.632090i \(-0.782197\pi\)
0.996317 0.0857440i \(-0.0273267\pi\)
\(224\) 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 −0.998555 0.0537472i \(-0.982883\pi\)
0.452731 0.891647i \(-0.350450\pi\)
\(228\) −4.57038 33.3996i −0.302681 2.21194i
\(229\) −17.4878 1.31053i −1.15563 0.0866024i −0.516908 0.856041i \(-0.672917\pi\)
−0.638721 + 0.769439i \(0.720536\pi\)
\(230\) −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 −0.906292 0.422652i \(-0.861099\pi\)
0.510726 0.859744i \(-0.329377\pi\)
\(234\) −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 −0.0825907 + 0.996584i \(0.526319\pi\)
−0.897520 + 0.440974i \(0.854633\pi\)
\(240\) −8.42142 + 3.91531i −0.543600 + 0.252732i
\(241\) −11.6197 12.5231i −0.748492 0.806682i 0.237866 0.971298i \(-0.423552\pi\)
−0.986358 + 0.164616i \(0.947362\pi\)
\(242\) 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 −0.268706 0.963222i \(-0.586596\pi\)
0.585542 + 0.810642i \(0.300882\pi\)
\(252\) 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 0.832047 0.554705i \(-0.187169\pi\)
−0.490975 + 0.871174i \(0.663359\pi\)
\(258\) 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 −0.296539 0.955021i \(-0.595832\pi\)
0.678803 + 0.734321i \(0.262499\pi\)
\(264\) −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 0.260732 0.965411i \(-0.416036\pi\)
0.533708 + 0.845669i \(0.320798\pi\)
\(270\) 9.44835 26.7089i 0.575008 1.62545i
\(271\) −4.58657 4.94315i −0.278614 0.300275i 0.578205 0.815892i \(-0.303753\pi\)
−0.856819 + 0.515617i \(0.827563\pi\)
\(272\) 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 0.319234 0.947676i \(-0.396574\pi\)
0.797609 + 0.603175i \(0.206098\pi\)
\(278\) 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 0.247107 0.968988i \(-0.420520\pi\)
0.840222 + 0.542243i \(0.182425\pi\)
\(282\) 9.59192 + 3.91597i 0.571191 + 0.233193i
\(283\) −8.44124 6.73166i −0.501779 0.400156i 0.339626 0.940561i \(-0.389700\pi\)
−0.841405 + 0.540405i \(0.818271\pi\)
\(284\) −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 1.00000 0.000328097i \(0.000104437\pi\)
−0.499716 + 0.866189i \(0.666562\pi\)
\(294\) −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 0.478855 0.877894i \(-0.341052\pi\)
−0.749328 + 0.662199i \(0.769624\pi\)
\(308\) 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 0.886056 + 0.463578i \(0.153435\pi\)
−0.999448 + 0.0332244i \(0.989422\pi\)
\(312\) 1.54068 + 4.08827i 0.0872237 + 0.231453i
\(313\) 17.2783i 0.976625i 0.872669 + 0.488312i \(0.162387\pi\)
−0.872669 + 0.488312i \(0.837613\pi\)
\(314\) 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 −0.100359 0.994951i \(-0.531999\pi\)
0.341273 + 0.939964i \(0.389142\pi\)
\(318\) −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 0.751574 + 0.659649i \(0.229295\pi\)
−0.963356 + 0.268227i \(0.913562\pi\)
\(332\) 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 0.928000 0.372580i \(-0.121527\pi\)
−0.00778822 + 0.999970i \(0.502479\pi\)
\(338\) −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 0.821226 0.570602i \(-0.193290\pi\)
0.987475 + 0.157778i \(0.0504331\pi\)
\(348\) −20.4184 43.9178i −1.09454 2.35424i
\(349\) −25.0083 1.87411i −1.33866 0.100319i −0.613936 0.789356i \(-0.710415\pi\)
−0.724726 + 0.689037i \(0.758034\pi\)
\(350\) 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 −0.995861 0.0908857i \(-0.971030\pi\)
−0.448432 0.893817i \(-0.648017\pi\)
\(354\) 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 −0.613045 0.790048i \(-0.710056\pi\)
0.959405 + 0.282030i \(0.0910079\pi\)
\(360\) −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 0.416508 0.909132i \(-0.363254\pi\)
−0.313045 + 0.949738i \(0.601349\pi\)
\(368\) −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 −0.798955 0.601391i \(-0.794613\pi\)
0.920297 + 0.391220i \(0.127947\pi\)
\(374\) −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 −0.622767 0.782407i \(-0.713992\pi\)
0.901369 + 0.433051i \(0.142563\pi\)
\(380\) −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 −0.302362 0.953193i \(-0.597775\pi\)
−0.00796978 + 0.999968i \(0.502537\pi\)
\(384\) −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 0.425423 0.904995i \(-0.360125\pi\)
0.555553 + 0.831481i \(0.312506\pi\)
\(390\) −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 0.0218879 0.999760i \(-0.493032\pi\)
0.170650 + 0.985332i \(0.445413\pi\)
\(398\) −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 0.803938 + 0.594714i \(0.202735\pi\)
−0.592926 + 0.805257i \(0.702027\pi\)
\(402\) 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 0.641431 0.767181i \(-0.278341\pi\)
0.245042 + 0.969512i \(0.421198\pi\)
\(410\) 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 −0.252648 0.967558i \(-0.581302\pi\)
0.945972 + 0.324248i \(0.105111\pi\)
\(420\) 32.7332 20.8320i 1.59722 1.01650i
\(421\) −18.8589 17.4985i −0.919125 0.852824i 0.0703504 0.997522i \(-0.477588\pi\)
−0.989476 + 0.144699i \(0.953779\pi\)
\(422\) 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 0.538691 0.842503i \(-0.318919\pi\)
0.407106 + 0.913381i \(0.366538\pi\)
\(432\) 2.22935 + 12.0067i 0.107259 + 0.577674i
\(433\) −2.53480 + 5.26356i −0.121814 + 0.252950i −0.952955 0.303112i \(-0.901974\pi\)
0.831140 + 0.556063i \(0.187689\pi\)
\(434\) −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 0.580836 0.814020i \(-0.302726\pi\)
−0.664363 + 0.747410i \(0.731297\pi\)
\(440\) −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 0.915828 0.401571i \(-0.131536\pi\)
−0.187712 + 0.982224i \(0.560107\pi\)
\(444\) −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 −0.974721 0.223425i \(-0.928276\pi\)
0.782409 + 0.622764i \(0.213990\pi\)
\(450\) −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 −0.0566159 0.998396i \(-0.518031\pi\)
0.745278 + 0.666754i \(0.232317\pi\)
\(458\) 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 0.144089 0.989565i \(-0.453975\pi\)
−0.976030 + 0.217636i \(0.930165\pi\)
\(462\) 26.9074 + 50.2081i 1.25185 + 2.33589i
\(463\) −11.5118 + 10.6814i −0.535001 + 0.496408i −0.900769 0.434298i \(-0.856997\pi\)
0.365769 + 0.930706i \(0.380806\pi\)
\(464\) −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 0.133586 0.991037i \(-0.457351\pi\)
0.998249 0.0591522i \(-0.0188397\pi\)
\(468\) 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 −0.797213 0.603698i \(-0.793693\pi\)
−0.939738 + 0.341895i \(0.888931\pi\)
\(480\) −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 −0.159625 0.987178i \(-0.551029\pi\)
0.860620 + 0.509248i \(0.170076\pi\)
\(488\) 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 −0.760646 0.649167i \(-0.775117\pi\)
0.181873 + 0.983322i \(0.441784\pi\)
\(492\) −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 −0.224491 0.974476i \(-0.572072\pi\)
0.0727139 + 0.997353i \(0.476834\pi\)
\(500\) 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 −0.595644 0.803249i \(-0.703103\pi\)
0.915653 + 0.401970i \(0.131675\pi\)
\(504\) −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 −0.967167 0.254142i \(-0.918207\pi\)
0.703677 + 0.710520i \(0.251540\pi\)
\(510\) 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 0.441791 + 0.897118i \(0.354343\pi\)
−0.997822 + 0.0659572i \(0.978990\pi\)
\(522\) −25.7270 47.4999i −1.12604 2.07901i
\(523\) −14.7381 + 21.6169i −0.644454 + 0.945240i 0.355490 + 0.934680i \(0.384314\pi\)
−0.999944 + 0.0105602i \(0.996639\pi\)
\(524\) 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 −0.524209 0.851589i \(-0.675639\pi\)
−0.751931 + 0.659242i \(0.770877\pi\)
\(542\) 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 −0.0126860 0.999920i \(-0.504038\pi\)
0.926164 + 0.377121i \(0.123086\pi\)
\(548\) −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 0.0565085 0.998402i \(-0.482003\pi\)
−0.836387 + 0.548139i \(0.815337\pi\)
\(558\) 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 0.300402 0.953813i \(-0.402879\pi\)
−0.996744 + 0.0806272i \(0.974308\pi\)
\(564\) −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 \(-0.946288\pi\)
0.985797 0.167942i \(-0.0537121\pi\)
\(570\) −48.8688 8.04720i −2.04689 0.337060i
\(571\) 1.14536 5.01813i 0.0479316 0.210002i −0.945291 0.326228i \(-0.894222\pi\)
0.993223 + 0.116225i \(0.0370795\pi\)
\(572\) −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 −0.603047 0.797706i \(-0.706047\pi\)
0.100513 + 0.994936i \(0.467952\pi\)
\(578\) −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 −0.562730 0.826641i \(-0.690249\pi\)
0.997257 + 0.0740175i \(0.0235821\pi\)
\(588\) 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 0.990437 0.137968i \(-0.0440570\pi\)
−0.999937 + 0.0111904i \(0.996438\pi\)
\(594\) −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 0.966284 0.257479i \(-0.0828917\pi\)
−0.0360047 + 0.999352i \(0.511463\pi\)
\(600\) 0.196987 + 1.43955i 0.00804196 + 0.0587694i
\(601\) 2.02988 0.796669i 0.0828005 0.0324968i −0.323579 0.946201i \(-0.604886\pi\)
0.406380 + 0.913704i \(0.366791\pi\)
\(602\) 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 0.823554 0.567238i \(-0.191988\pi\)
−0.0794657 + 0.996838i \(0.525321\pi\)
\(608\) −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 −0.857926 0.513774i \(-0.828247\pi\)
−0.668373 + 0.743826i \(0.733009\pi\)
\(614\) 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 0.919037 0.394172i \(-0.128968\pi\)
−0.981389 + 0.192032i \(0.938492\pi\)
\(618\) −46.0059 + 56.1064i −1.85063 + 2.25693i
\(619\) 30.1560 17.4106i 1.21207 0.699791i 0.248863 0.968539i \(-0.419943\pi\)
0.963211 + 0.268748i \(0.0866099\pi\)
\(620\) 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 −0.519391 0.854537i \(-0.673841\pi\)
0.344269 + 0.938871i \(0.388127\pi\)
\(632\) 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 0.830348 0.557245i \(-0.188142\pi\)
−0.617739 + 0.786383i \(0.711951\pi\)
\(642\) −2.71512 + 30.6323i −0.107157 + 1.20896i
\(643\) 18.0279 26.4421i 0.710952 1.04278i −0.285481 0.958384i \(-0.592153\pi\)
0.996433 0.0843908i \(-0.0268944\pi\)
\(644\) 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 0.921178 + 0.389142i \(0.127229\pi\)
−0.968887 + 0.247502i \(0.920390\pi\)
\(648\) 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 0.274430 0.961607i \(-0.411511\pi\)
0.128044 + 0.991768i \(0.459130\pi\)
\(654\) 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 0.668753 + 0.743485i \(0.266828\pi\)
−0.971369 + 0.237574i \(0.923648\pi\)
\(660\) −76.1371 + 4.66501i −2.96363 + 0.181585i
\(661\) 4.79058 3.82036i 0.186332 0.148595i −0.525881 0.850558i \(-0.676264\pi\)
0.712213 + 0.701963i \(0.247693\pi\)
\(662\) 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 0.937728 0.347370i \(-0.112925\pi\)
−0.923675 + 0.383177i \(0.874830\pi\)
\(674\) −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 0.758548 0.651617i \(-0.225909\pi\)
−0.804073 + 0.594531i \(0.797338\pi\)
\(678\) −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 0.800293 0.599610i \(-0.204678\pi\)
−0.850541 + 0.525909i \(0.823725\pi\)
\(684\) −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 −0.899157 0.437627i \(-0.855819\pi\)
0.902766 + 0.430133i \(0.141533\pi\)
\(692\) −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 0.189348 0.981910i \(-0.439363\pi\)
0.999425 + 0.0338947i \(0.0107911\pi\)
\(702\) 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 0.951147 + 0.308739i \(0.0999068\pi\)
−0.722997 + 0.690851i \(0.757236\pi\)
\(710\) −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 0.865872 0.500266i \(-0.166764\pi\)
−0.149346 + 0.988785i \(0.547717\pi\)
\(720\) 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 −0.962430 0.271531i \(-0.912470\pi\)
0.0988537 0.995102i \(-0.468482\pi\)
\(728\) −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 −0.833932 0.551868i \(-0.813915\pi\)
−0.235950 + 0.971765i \(0.575820\pi\)
\(734\) −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 0.162334 0.986736i \(-0.448098\pi\)
−0.421722 + 0.906725i \(0.638574\pi\)
\(740\) 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 −0.285826 0.958282i \(-0.592268\pi\)
−0.139809 + 0.990179i \(0.544649\pi\)
\(744\) −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 −0.683021 0.730398i \(-0.739334\pi\)
0.784253 0.620441i \(-0.213047\pi\)
\(752\) −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 −0.858711 0.512461i \(-0.828734\pi\)
0.551323 0.834292i \(-0.314123\pi\)
\(758\) −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 0.414579 0.910013i \(-0.363929\pi\)
−0.170087 + 0.985429i \(0.554405\pi\)
\(762\) −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 0.709517 0.704689i \(-0.248913\pi\)
0.0408023 + 0.999167i \(0.487009\pi\)
\(770\) 74.3847 9.84390i 2.68064 0.354750i
\(771\) −2.70319