Properties

Label 403.2.bl.b.16.17
Level 403
Weight 2
Character 403.16
Analytic conductor 3.218
Analytic rank 0
Dimension 280
CM No

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Newspace parameters

Level: \( N \) = \( 403 = 13 \cdot 31 \)
Weight: \( k \) = \( 2 \)
Character orbit: \([\chi]\) = 403.bl (of order \(15\) and degree \(8\))

Newform invariants

Self dual: No
Analytic conductor: \(3.21797120146\)
Analytic rank: \(0\)
Dimension: \(280\)
Relative dimension: \(35\) over \(\Q(\zeta_{15})\)
Sato-Tate group: $\mathrm{SU}(2)[C_{15}]$

Embedding invariants

Embedding label 16.17
Character \(\chi\) = 403.16
Dual form 403.2.bl.b.126.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.0396375 - 0.0176478i) q^{2} +(-0.210379 + 2.00162i) q^{3} +(-1.33700 - 1.48489i) q^{4} +0.511564 q^{5} +(0.0436630 - 0.0756265i) q^{6} +(1.64562 + 1.82764i) q^{7} +(0.0536061 + 0.164983i) q^{8} +(-1.02778 - 0.218461i) q^{9} +O(q^{10})\) \(q+(-0.0396375 - 0.0176478i) q^{2} +(-0.210379 + 2.00162i) q^{3} +(-1.33700 - 1.48489i) q^{4} +0.511564 q^{5} +(0.0436630 - 0.0756265i) q^{6} +(1.64562 + 1.82764i) q^{7} +(0.0536061 + 0.164983i) q^{8} +(-1.02778 - 0.218461i) q^{9} +(-0.0202771 - 0.00902795i) q^{10} +(-2.25522 + 0.479362i) q^{11} +(3.25346 - 2.36378i) q^{12} +(2.26084 + 2.80867i) q^{13} +(-0.0329744 - 0.101485i) q^{14} +(-0.107622 + 1.02396i) q^{15} +(-0.416934 + 3.96686i) q^{16} +(-2.98552 - 0.634591i) q^{17} +(0.0368833 + 0.0267973i) q^{18} +(0.527832 + 5.02198i) q^{19} +(-0.683962 - 0.759616i) q^{20} +(-4.00445 + 2.90940i) q^{21} +(0.0978510 + 0.0207989i) q^{22} +(1.74544 - 1.93851i) q^{23} +(-0.341510 + 0.0725902i) q^{24} -4.73830 q^{25} +(-0.0400472 - 0.151227i) q^{26} +(-1.21233 + 3.73115i) q^{27} +(0.513657 - 4.88712i) q^{28} +(8.91076 + 3.96733i) q^{29} +(0.0223364 - 0.0386878i) q^{30} +(-4.35284 + 3.47171i) q^{31} +(0.260005 - 0.450342i) q^{32} +(-0.485050 - 4.61494i) q^{33} +(0.107139 + 0.0778413i) q^{34} +(0.841838 + 0.934956i) q^{35} +(1.04975 + 1.81822i) q^{36} +(-0.852503 - 1.47658i) q^{37} +(0.0677048 - 0.208374i) q^{38} +(-6.09752 + 3.93445i) q^{39} +(0.0274229 + 0.0843991i) q^{40} +(-0.466435 - 0.207670i) q^{41} +(0.210071 - 0.0446519i) q^{42} +(0.0869595 + 0.827365i) q^{43} +(3.72704 + 2.70785i) q^{44} +(-0.525775 - 0.111757i) q^{45} +(-0.103395 + 0.0460346i) q^{46} +(0.0827363 + 0.0601114i) q^{47} +(-7.85243 - 1.66908i) q^{48} +(0.0994757 - 0.946449i) q^{49} +(0.187814 + 0.0836204i) q^{50} +(1.89830 - 5.84237i) q^{51} +(1.14782 - 7.11229i) q^{52} +(-0.745976 - 2.29588i) q^{53} +(0.113900 - 0.126499i) q^{54} +(-1.15369 + 0.245224i) q^{55} +(-0.213314 + 0.369471i) q^{56} -10.1631 q^{57} +(-0.283186 - 0.314510i) q^{58} +(5.57520 - 2.48224i) q^{59} +(1.66435 - 1.20922i) q^{60} +(5.46127 - 9.45921i) q^{61} +(0.233804 - 0.0607923i) q^{62} +(-1.29206 - 2.23792i) q^{63} +(6.43561 - 4.67575i) q^{64} +(1.15656 + 1.43681i) q^{65} +(-0.0622172 + 0.191485i) q^{66} +(-2.30055 - 3.98467i) q^{67} +(3.04934 + 5.28162i) q^{68} +(3.51296 + 3.90154i) q^{69} +(-0.0168685 - 0.0519159i) q^{70} +(8.32197 + 1.76889i) q^{71} +(-0.0190529 - 0.181277i) q^{72} +(1.01623 - 3.12765i) q^{73} +(0.00773279 + 0.0735726i) q^{74} +(0.996838 - 9.48428i) q^{75} +(6.75139 - 7.49817i) q^{76} +(-4.58734 - 3.33289i) q^{77} +(0.311125 - 0.0483443i) q^{78} +(4.29507 + 13.2189i) q^{79} +(-0.213288 + 2.02930i) q^{80} +(-10.0930 - 4.49369i) q^{81} +(0.0148234 + 0.0164631i) q^{82} +(14.5239 - 10.5523i) q^{83} +(9.67410 + 2.05629i) q^{84} +(-1.52728 - 0.324634i) q^{85} +(0.0111543 - 0.0343293i) q^{86} +(-9.81572 + 17.0013i) q^{87} +(-0.199980 - 0.346375i) q^{88} +(5.28190 - 1.12270i) q^{89} +(0.0188681 + 0.0137085i) q^{90} +(-1.41277 + 8.75400i) q^{91} -5.21214 q^{92} +(-6.03331 - 9.44310i) q^{93} +(-0.00221863 - 0.00384277i) q^{94} +(0.270020 + 2.56907i) q^{95} +(0.846714 + 0.615174i) q^{96} +(1.12912 + 1.25401i) q^{97} +(-0.0206457 + 0.0357593i) q^{98} +2.42259 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} + O(q^{10}) \) \( 280q + q^{2} + 39q^{4} - 8q^{5} - 2q^{7} + 12q^{8} + 29q^{9} - 21q^{10} - q^{11} - 16q^{12} - 54q^{14} - 27q^{15} + 31q^{16} + 2q^{17} - 10q^{18} + 5q^{19} - 3q^{20} + 68q^{21} - 39q^{22} - 7q^{23} + 48q^{24} + 200q^{25} + 6q^{26} - 78q^{27} + 30q^{28} - 16q^{29} - 66q^{30} - 62q^{31} - 56q^{32} - 20q^{33} - 126q^{34} - 37q^{35} - 140q^{36} - 36q^{37} + 4q^{38} + 28q^{39} - 158q^{40} - 4q^{41} + 16q^{42} - 16q^{43} + 42q^{44} - 46q^{45} - 29q^{46} + 8q^{47} - 36q^{48} + 43q^{49} - 5q^{50} - 134q^{51} - q^{52} + 8q^{53} + 44q^{54} - 55q^{55} - 42q^{56} + 140q^{57} + 38q^{58} - 23q^{59} + 38q^{60} + 40q^{61} + 19q^{62} - 146q^{63} - 68q^{64} + 2q^{65} + 6q^{66} + 46q^{67} + 86q^{68} - 32q^{69} - 4q^{70} + 60q^{71} + 73q^{72} - 12q^{73} - 44q^{74} + 16q^{75} - 70q^{76} + 10q^{77} - 142q^{78} + 134q^{79} - 72q^{80} - 18q^{81} + 28q^{82} - 88q^{83} + 81q^{84} - 69q^{85} + 188q^{86} - 28q^{87} + 42q^{88} + 12q^{89} + 22q^{90} + 67q^{91} - 324q^{92} - 25q^{93} - 62q^{94} + 16q^{95} + 276q^{96} + 16q^{97} + 76q^{98} - 60q^{99} + O(q^{100}) \)

Character Values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).

\(n\) \(249\) \(313\)
\(\chi(n)\) \(e\left(\frac{1}{3}\right)\) \(e\left(\frac{1}{5}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.0396375 0.0176478i −0.0280279 0.0124788i 0.392675 0.919677i \(-0.371550\pi\)
−0.420703 + 0.907199i \(0.638216\pi\)
\(3\) −0.210379 + 2.00162i −0.121462 + 1.15564i 0.748713 + 0.662894i \(0.230672\pi\)
−0.870176 + 0.492742i \(0.835995\pi\)
\(4\) −1.33700 1.48489i −0.668501 0.742445i
\(5\) 0.511564 0.228778 0.114389 0.993436i \(-0.463509\pi\)
0.114389 + 0.993436i \(0.463509\pi\)
\(6\) 0.0436630 0.0756265i 0.0178253 0.0308744i
\(7\) 1.64562 + 1.82764i 0.621985 + 0.690784i 0.968996 0.247077i \(-0.0794700\pi\)
−0.347011 + 0.937861i \(0.612803\pi\)
\(8\) 0.0536061 + 0.164983i 0.0189526 + 0.0583301i
\(9\) −1.02778 0.218461i −0.342593 0.0728204i
\(10\) −0.0202771 0.00902795i −0.00641218 0.00285489i
\(11\) −2.25522 + 0.479362i −0.679975 + 0.144533i −0.534936 0.844893i \(-0.679664\pi\)
−0.145039 + 0.989426i \(0.546331\pi\)
\(12\) 3.25346 2.36378i 0.939194 0.682364i
\(13\) 2.26084 + 2.80867i 0.627043 + 0.778985i
\(14\) −0.0329744 0.101485i −0.00881277 0.0271229i
\(15\) −0.107622 + 1.02396i −0.0277879 + 0.264384i
\(16\) −0.416934 + 3.96686i −0.104233 + 0.991714i
\(17\) −2.98552 0.634591i −0.724094 0.153911i −0.168902 0.985633i \(-0.554022\pi\)
−0.555193 + 0.831722i \(0.687355\pi\)
\(18\) 0.0368833 + 0.0267973i 0.00869347 + 0.00631617i
\(19\) 0.527832 + 5.02198i 0.121093 + 1.15212i 0.871242 + 0.490854i \(0.163315\pi\)
−0.750149 + 0.661269i \(0.770018\pi\)
\(20\) −0.683962 0.759616i −0.152938 0.169855i
\(21\) −4.00445 + 2.90940i −0.873843 + 0.634884i
\(22\) 0.0978510 + 0.0207989i 0.0208619 + 0.00443434i
\(23\) 1.74544 1.93851i 0.363950 0.404208i −0.533160 0.846014i \(-0.678996\pi\)
0.897110 + 0.441807i \(0.145662\pi\)
\(24\) −0.341510 + 0.0725902i −0.0697104 + 0.0148174i
\(25\) −4.73830 −0.947661
\(26\) −0.0400472 0.151227i −0.00785390 0.0296581i
\(27\) −1.21233 + 3.73115i −0.233312 + 0.718061i
\(28\) 0.513657 4.88712i 0.0970721 0.923580i
\(29\) 8.91076 + 3.96733i 1.65469 + 0.736714i 0.999819 0.0190285i \(-0.00605733\pi\)
0.654869 + 0.755743i \(0.272724\pi\)
\(30\) 0.0223364 0.0386878i 0.00407805 0.00706339i
\(31\) −4.35284 + 3.47171i −0.781793 + 0.623538i
\(32\) 0.260005 0.450342i 0.0459629 0.0796100i
\(33\) −0.485050 4.61494i −0.0844364 0.803359i
\(34\) 0.107139 + 0.0778413i 0.0183742 + 0.0133497i
\(35\) 0.841838 + 0.934956i 0.142297 + 0.158036i
\(36\) 1.04975 + 1.81822i 0.174959 + 0.303037i
\(37\) −0.852503 1.47658i −0.140151 0.242748i 0.787403 0.616439i \(-0.211425\pi\)
−0.927553 + 0.373691i \(0.878092\pi\)
\(38\) 0.0677048 0.208374i 0.0109832 0.0338027i
\(39\) −6.09752 + 3.93445i −0.976384 + 0.630016i
\(40\) 0.0274229 + 0.0843991i 0.00433594 + 0.0133447i
\(41\) −0.466435 0.207670i −0.0728449 0.0324327i 0.369991 0.929035i \(-0.379361\pi\)
−0.442836 + 0.896603i \(0.646028\pi\)
\(42\) 0.210071 0.0446519i 0.0324146 0.00688994i
\(43\) 0.0869595 + 0.827365i 0.0132612 + 0.126172i 0.999150 0.0412320i \(-0.0131283\pi\)
−0.985888 + 0.167404i \(0.946462\pi\)
\(44\) 3.72704 + 2.70785i 0.561872 + 0.408224i
\(45\) −0.525775 0.111757i −0.0783779 0.0166597i
\(46\) −0.103395 + 0.0460346i −0.0152448 + 0.00678743i
\(47\) 0.0827363 + 0.0601114i 0.0120683 + 0.00876815i 0.593803 0.804610i \(-0.297626\pi\)
−0.581735 + 0.813379i \(0.697626\pi\)
\(48\) −7.85243 1.66908i −1.13340 0.240912i
\(49\) 0.0994757 0.946449i 0.0142108 0.135207i
\(50\) 0.187814 + 0.0836204i 0.0265610 + 0.0118257i
\(51\) 1.89830 5.84237i 0.265815 0.818095i
\(52\) 1.14782 7.11229i 0.159175 0.986297i
\(53\) −0.745976 2.29588i −0.102468 0.315363i 0.886660 0.462422i \(-0.153019\pi\)
−0.989128 + 0.147059i \(0.953019\pi\)
\(54\) 0.113900 0.126499i 0.0154998 0.0172143i
\(55\) −1.15369 + 0.245224i −0.155564 + 0.0330660i
\(56\) −0.213314 + 0.369471i −0.0285053 + 0.0493726i
\(57\) −10.1631 −1.34614
\(58\) −0.283186 0.314510i −0.0371841 0.0412972i
\(59\) 5.57520 2.48224i 0.725829 0.323160i −0.0103505 0.999946i \(-0.503295\pi\)
0.736179 + 0.676787i \(0.236628\pi\)
\(60\) 1.66435 1.20922i 0.214867 0.156110i
\(61\) 5.46127 9.45921i 0.699245 1.21113i −0.269484 0.963005i \(-0.586853\pi\)
0.968729 0.248122i \(-0.0798135\pi\)
\(62\) 0.233804 0.0607923i 0.0296931 0.00772063i
\(63\) −1.29206 2.23792i −0.162785 0.281951i
\(64\) 6.43561 4.67575i 0.804451 0.584468i
\(65\) 1.15656 + 1.43681i 0.143454 + 0.178215i
\(66\) −0.0622172 + 0.191485i −0.00765841 + 0.0235702i
\(67\) −2.30055 3.98467i −0.281057 0.486805i 0.690588 0.723248i \(-0.257352\pi\)
−0.971645 + 0.236443i \(0.924018\pi\)
\(68\) 3.04934 + 5.28162i 0.369787 + 0.640490i
\(69\) 3.51296 + 3.90154i 0.422911 + 0.469690i
\(70\) −0.0168685 0.0519159i −0.00201617 0.00620513i
\(71\) 8.32197 + 1.76889i 0.987636 + 0.209928i 0.673289 0.739380i \(-0.264881\pi\)
0.314347 + 0.949308i \(0.398214\pi\)
\(72\) −0.0190529 0.181277i −0.00224541 0.0213636i
\(73\) 1.01623 3.12765i 0.118941 0.366063i −0.873807 0.486272i \(-0.838356\pi\)
0.992749 + 0.120209i \(0.0383564\pi\)
\(74\) 0.00773279 + 0.0735726i 0.000898919 + 0.00855264i
\(75\) 0.996838 9.48428i 0.115105 1.09515i
\(76\) 6.75139 7.49817i 0.774437 0.860099i
\(77\) −4.58734 3.33289i −0.522775 0.379819i
\(78\) 0.311125 0.0483443i 0.0352279 0.00547391i
\(79\) 4.29507 + 13.2189i 0.483233 + 1.48724i 0.834524 + 0.550971i \(0.185743\pi\)
−0.351292 + 0.936266i \(0.614257\pi\)
\(80\) −0.213288 + 2.02930i −0.0238463 + 0.226883i
\(81\) −10.0930 4.49369i −1.12144 0.499299i
\(82\) 0.0148234 + 0.0164631i 0.00163697 + 0.00181804i
\(83\) 14.5239 10.5523i 1.59421 1.15826i 0.696609 0.717451i \(-0.254691\pi\)
0.897600 0.440810i \(-0.145309\pi\)
\(84\) 9.67410 + 2.05629i 1.05553 + 0.224360i
\(85\) −1.52728 0.324634i −0.165657 0.0352115i
\(86\) 0.0111543 0.0343293i 0.00120280 0.00370182i
\(87\) −9.81572 + 17.0013i −1.05236 + 1.82273i
\(88\) −0.199980 0.346375i −0.0213179 0.0369238i
\(89\) 5.28190 1.12270i 0.559880 0.119006i 0.0807250 0.996736i \(-0.474276\pi\)
0.479155 + 0.877730i \(0.340943\pi\)
\(90\) 0.0188681 + 0.0137085i 0.00198888 + 0.00144500i
\(91\) −1.41277 + 8.75400i −0.148099 + 0.917668i
\(92\) −5.21214 −0.543403
\(93\) −6.03331 9.44310i −0.625625 0.979204i
\(94\) −0.00221863 0.00384277i −0.000228834 0.000396352i
\(95\) 0.270020 + 2.56907i 0.0277034 + 0.263581i
\(96\) 0.846714 + 0.615174i 0.0864174 + 0.0627859i
\(97\) 1.12912 + 1.25401i 0.114644 + 0.127325i 0.797735 0.603008i \(-0.206031\pi\)
−0.683091 + 0.730334i \(0.739365\pi\)
\(98\) −0.0206457 + 0.0357593i −0.00208553 + 0.00361224i
\(99\) 2.42259 0.243480
\(100\) 6.33512 + 7.03586i 0.633512 + 0.703586i
\(101\) 9.99354 11.0989i 0.994394 1.10439i −0.000142492 1.00000i \(-0.500045\pi\)
0.994537 0.104387i \(-0.0332880\pi\)
\(102\) −0.178349 + 0.198076i −0.0176591 + 0.0196125i
\(103\) −1.98481 + 1.44205i −0.195569 + 0.142089i −0.681261 0.732041i \(-0.738568\pi\)
0.485691 + 0.874130i \(0.338568\pi\)
\(104\) −0.342187 + 0.523560i −0.0335542 + 0.0513393i
\(105\) −2.04853 + 1.48835i −0.199916 + 0.145248i
\(106\) −0.0109485 + 0.104168i −0.00106341 + 0.0101177i
\(107\) −9.19050 + 10.2071i −0.888479 + 0.986756i −0.999975 0.00700851i \(-0.997769\pi\)
0.111496 + 0.993765i \(0.464436\pi\)
\(108\) 7.16124 3.18839i 0.689090 0.306803i
\(109\) −2.22242 1.61468i −0.212869 0.154659i 0.476242 0.879314i \(-0.341999\pi\)
−0.689111 + 0.724656i \(0.741999\pi\)
\(110\) 0.0500570 + 0.0106400i 0.00477275 + 0.00101448i
\(111\) 3.13490 1.39575i 0.297551 0.132478i
\(112\) −7.93611 + 5.76592i −0.749892 + 0.544829i
\(113\) −12.8055 14.2219i −1.20464 1.33789i −0.926016 0.377484i \(-0.876789\pi\)
−0.278621 0.960401i \(-0.589877\pi\)
\(114\) 0.402842 + 0.179357i 0.0377296 + 0.0167983i
\(115\) 0.892906 0.991672i 0.0832639 0.0924739i
\(116\) −6.02266 18.5358i −0.559190 1.72101i
\(117\) −1.71006 3.38060i −0.158095 0.312536i
\(118\) −0.264793 −0.0243761
\(119\) −3.75321 6.50076i −0.344057 0.595923i
\(120\) −0.174704 + 0.0371345i −0.0159482 + 0.00338990i
\(121\) −5.19276 + 2.31197i −0.472069 + 0.210179i
\(122\) −0.383405 + 0.278560i −0.0347119 + 0.0252196i
\(123\) 0.513805 0.889937i 0.0463282 0.0802429i
\(124\) 10.9749 + 1.82180i 0.985572 + 0.163603i
\(125\) −4.98176 −0.445582
\(126\) 0.0117199 + 0.111507i 0.00104409 + 0.00993388i
\(127\) 0.964513 9.17673i 0.0855867 0.814303i −0.864566 0.502519i \(-0.832407\pi\)
0.950153 0.311784i \(-0.100927\pi\)
\(128\) −1.35490 + 0.287993i −0.119758 + 0.0254552i
\(129\) −1.67436 −0.147420
\(130\) −0.0204867 0.0773624i −0.00179680 0.00678513i
\(131\) 5.13961 15.8181i 0.449050 1.38203i −0.428931 0.903337i \(-0.641110\pi\)
0.877981 0.478696i \(-0.158890\pi\)
\(132\) −6.20417 + 6.89043i −0.540004 + 0.599735i
\(133\) −8.30979 + 9.22895i −0.720550 + 0.800252i
\(134\) 0.0208676 + 0.198542i 0.00180269 + 0.0171514i
\(135\) −0.620182 + 1.90872i −0.0533767 + 0.164277i
\(136\) −0.0553454 0.526576i −0.00474583 0.0451535i
\(137\) 2.31600 1.03115i 0.197870 0.0880972i −0.305410 0.952221i \(-0.598793\pi\)
0.503279 + 0.864124i \(0.332127\pi\)
\(138\) −0.0703916 0.216643i −0.00599213 0.0184419i
\(139\) −9.37008 + 4.17183i −0.794760 + 0.353850i −0.763621 0.645665i \(-0.776580\pi\)
−0.0311392 + 0.999515i \(0.509914\pi\)
\(140\) 0.262769 2.50008i 0.0222080 0.211295i
\(141\) −0.137726 + 0.152960i −0.0115986 + 0.0128816i
\(142\) −0.298645 0.216978i −0.0250617 0.0182084i
\(143\) −6.44506 5.25041i −0.538963 0.439061i
\(144\) 1.29512 3.98597i 0.107927 0.332164i
\(145\) 4.55842 + 2.02954i 0.378557 + 0.168544i
\(146\) −0.0954769 + 0.106038i −0.00790172 + 0.00877575i
\(147\) 1.87350 + 0.398225i 0.154524 + 0.0328451i
\(148\) −1.05276 + 3.24006i −0.0865363 + 0.266331i
\(149\) −2.69631 + 4.67014i −0.220890 + 0.382593i −0.955079 0.296353i \(-0.904230\pi\)
0.734188 + 0.678946i \(0.237563\pi\)
\(150\) −0.206888 + 0.358341i −0.0168924 + 0.0292584i
\(151\) −6.05013 + 18.6204i −0.492353 + 1.51531i 0.328689 + 0.944438i \(0.393393\pi\)
−0.821042 + 0.570868i \(0.806607\pi\)
\(152\) −0.800245 + 0.356292i −0.0649084 + 0.0288991i
\(153\) 2.92982 + 1.30444i 0.236862 + 0.105458i
\(154\) 0.123012 + 0.213064i 0.00991262 + 0.0171692i
\(155\) −2.22675 + 1.77600i −0.178857 + 0.142652i
\(156\) 13.9946 + 3.79378i 1.12047 + 0.303746i
\(157\) −3.36635 + 2.44580i −0.268664 + 0.195196i −0.713958 0.700189i \(-0.753099\pi\)
0.445294 + 0.895384i \(0.353099\pi\)
\(158\) 0.0630374 0.599761i 0.00501498 0.0477144i
\(159\) 4.75241 1.01016i 0.376891 0.0801107i
\(160\) 0.133009 0.230379i 0.0105153 0.0182130i
\(161\) 6.41524 0.505592
\(162\) 0.320758 + 0.356238i 0.0252011 + 0.0279887i
\(163\) −17.1187 3.63869i −1.34084 0.285004i −0.519025 0.854759i \(-0.673705\pi\)
−0.821815 + 0.569755i \(0.807038\pi\)
\(164\) 0.315257 + 0.970261i 0.0246174 + 0.0757646i
\(165\) −0.248134 2.36084i −0.0193172 0.183791i
\(166\) −0.761916 + 0.161950i −0.0591362 + 0.0125698i
\(167\) 15.4603 + 6.88336i 1.19635 + 0.532650i 0.905594 0.424147i \(-0.139426\pi\)
0.290758 + 0.956797i \(0.406093\pi\)
\(168\) −0.694664 0.504703i −0.0535945 0.0389387i
\(169\) −2.77724 + 12.6999i −0.213634 + 0.976914i
\(170\) 0.0548086 + 0.0398208i 0.00420363 + 0.00305411i
\(171\) 0.554614 5.27680i 0.0424124 0.403527i
\(172\) 1.11228 1.23531i 0.0848106 0.0941917i
\(173\) −9.57823 + 4.26450i −0.728220 + 0.324224i −0.737144 0.675736i \(-0.763826\pi\)
0.00892413 + 0.999960i \(0.497159\pi\)
\(174\) 0.689106 0.500665i 0.0522410 0.0379553i
\(175\) −7.79743 8.65993i −0.589431 0.654629i
\(176\) −0.961284 9.14601i −0.0724595 0.689406i
\(177\) 3.79559 + 11.6816i 0.285294 + 0.878045i
\(178\) −0.229174 0.0487125i −0.0171774 0.00365116i
\(179\) −4.18451 + 0.889446i −0.312765 + 0.0664803i −0.361620 0.932326i \(-0.617776\pi\)
0.0488547 + 0.998806i \(0.484443\pi\)
\(180\) 0.537015 + 0.930137i 0.0400267 + 0.0693283i
\(181\) −3.94588 −0.293295 −0.146647 0.989189i \(-0.546848\pi\)
−0.146647 + 0.989189i \(0.546848\pi\)
\(182\) 0.210487 0.322054i 0.0156023 0.0238723i
\(183\) 17.7848 + 12.9214i 1.31469 + 0.955178i
\(184\) 0.413387 + 0.184052i 0.0304753 + 0.0135685i
\(185\) −0.436109 0.755364i −0.0320634 0.0555354i
\(186\) 0.0724957 + 0.480775i 0.00531564 + 0.0352522i
\(187\) 7.03720 0.514611
\(188\) −0.0213596 0.203223i −0.00155781 0.0148216i
\(189\) −8.81424 + 3.92435i −0.641142 + 0.285455i
\(190\) 0.0346353 0.106597i 0.00251271 0.00773333i
\(191\) 2.32964 4.03505i 0.168567 0.291966i −0.769349 0.638828i \(-0.779419\pi\)
0.937916 + 0.346862i \(0.112753\pi\)
\(192\) 8.00515 + 13.8653i 0.577722 + 1.00064i
\(193\) 11.2248 2.38591i 0.807979 0.171741i 0.214639 0.976693i \(-0.431142\pi\)
0.593340 + 0.804952i \(0.297809\pi\)
\(194\) −0.0226249 0.0696322i −0.00162437 0.00499930i
\(195\) −3.11927 + 2.01272i −0.223376 + 0.144134i
\(196\) −1.53837 + 1.11769i −0.109884 + 0.0798352i
\(197\) 21.7953 4.63273i 1.55285 0.330068i 0.649969 0.759960i \(-0.274782\pi\)
0.902880 + 0.429892i \(0.141448\pi\)
\(198\) −0.0960255 0.0427533i −0.00682424 0.00303835i
\(199\) 15.8390 7.05196i 1.12279 0.499900i 0.240523 0.970643i \(-0.422681\pi\)
0.882270 + 0.470743i \(0.156014\pi\)
\(200\) −0.254002 0.781737i −0.0179606 0.0552772i
\(201\) 8.45979 3.76654i 0.596708 0.265671i
\(202\) −0.591990 + 0.263571i −0.0416523 + 0.0185448i
\(203\) 7.41285 + 22.8144i 0.520280 + 1.60126i
\(204\) −11.2133 + 4.99249i −0.785088 + 0.349544i
\(205\) −0.238611 0.106237i −0.0166653 0.00741989i
\(206\) 0.104122 0.0221318i 0.00725452 0.00154199i
\(207\) −2.21742 + 1.61105i −0.154121 + 0.111976i
\(208\) −12.0842 + 7.79739i −0.837889 + 0.540652i
\(209\) −3.59773 11.0727i −0.248860 0.765912i
\(210\) 0.107465 0.0228423i 0.00741576 0.00157627i
\(211\) 3.84841 + 6.66564i 0.264935 + 0.458882i 0.967547 0.252692i \(-0.0813160\pi\)
−0.702611 + 0.711574i \(0.747983\pi\)
\(212\) −2.41176 + 4.17729i −0.165640 + 0.286897i
\(213\) −5.29141 + 16.2853i −0.362561 + 1.11585i
\(214\) 0.544421 0.242392i 0.0372158 0.0165696i
\(215\) 0.0444853 + 0.423250i 0.00303387 + 0.0288654i
\(216\) −0.680563 −0.0463065
\(217\) −13.5082 2.24232i −0.916994 0.152219i
\(218\) 0.0595957 + 0.103223i 0.00403633 + 0.00699113i
\(219\) 6.04656 + 2.69210i 0.408589 + 0.181916i
\(220\) 1.90662 + 1.38524i 0.128544 + 0.0933927i
\(221\) −4.96741 9.82004i −0.334144 0.660567i
\(222\) −0.148891 −0.00999292
\(223\) 9.32645 + 16.1539i 0.624545 + 1.08174i 0.988629 + 0.150378i \(0.0480489\pi\)
−0.364084 + 0.931366i \(0.618618\pi\)
\(224\) 1.25093 0.265894i 0.0835816 0.0177658i
\(225\) 4.86993 + 1.03514i 0.324662 + 0.0690090i
\(226\) 0.256592 + 0.789709i 0.0170682 + 0.0525307i
\(227\) −1.56434 14.8837i −0.103829 0.987868i −0.915108 0.403208i \(-0.867895\pi\)
0.811279 0.584659i \(-0.198772\pi\)
\(228\) 13.5881 + 15.0912i 0.899897 + 0.999437i
\(229\) 17.1360 12.4500i 1.13238 0.822721i 0.146339 0.989234i \(-0.453251\pi\)
0.986039 + 0.166514i \(0.0532509\pi\)
\(230\) −0.0528933 + 0.0235496i −0.00348768 + 0.00155282i
\(231\) 7.63627 8.48093i 0.502429 0.558004i
\(232\) −0.176869 + 1.68279i −0.0116120 + 0.110481i
\(233\) −4.27896 3.10884i −0.280324 0.203667i 0.438735 0.898617i \(-0.355427\pi\)
−0.719059 + 0.694949i \(0.755427\pi\)
\(234\) 0.00812239 + 0.164177i 0.000530978 + 0.0107326i
\(235\) 0.0423249 + 0.0307508i 0.00276097 + 0.00200596i
\(236\) −11.1399 4.95980i −0.725146 0.322856i
\(237\) −27.3627 + 5.81612i −1.77740 + 0.377798i
\(238\) 0.0340443 + 0.323910i 0.00220676 + 0.0209959i
\(239\) 6.00079 + 18.4685i 0.388159 + 1.19463i 0.934163 + 0.356848i \(0.116148\pi\)
−0.546004 + 0.837783i \(0.683852\pi\)
\(240\) −4.01702 0.853843i −0.259297 0.0551153i
\(241\) 9.41355 + 10.4548i 0.606380 + 0.673453i 0.965670 0.259773i \(-0.0836477\pi\)
−0.359290 + 0.933226i \(0.616981\pi\)
\(242\) 0.246629 0.0158539
\(243\) 5.23327 9.06429i 0.335714 0.581474i
\(244\) −21.3476 + 4.53758i −1.36664 + 0.290489i
\(245\) 0.0508882 0.484169i 0.00325113 0.0309324i
\(246\) −0.0360713 + 0.0262074i −0.00229982 + 0.00167092i
\(247\) −12.9117 + 12.8364i −0.821555 + 0.816760i
\(248\) −0.806111 0.532037i −0.0511881 0.0337844i
\(249\) 18.0661 + 31.2914i 1.14489 + 1.98301i
\(250\) 0.197465 + 0.0879169i 0.0124888 + 0.00556035i
\(251\) −2.84472 + 1.26655i −0.179557 + 0.0799441i −0.494546 0.869151i \(-0.664666\pi\)
0.314989 + 0.949095i \(0.397999\pi\)
\(252\) −1.59557 + 4.91067i −0.100512 + 0.309343i
\(253\) −3.00711 + 5.20847i −0.189056 + 0.327454i
\(254\) −0.200180 + 0.346721i −0.0125604 + 0.0217552i
\(255\) 0.971102 2.98874i 0.0608127 0.187162i
\(256\) −15.5033 3.29532i −0.968953 0.205957i
\(257\) −11.3809 + 12.6398i −0.709924 + 0.788450i −0.984923 0.172994i \(-0.944656\pi\)
0.274999 + 0.961444i \(0.411322\pi\)
\(258\) 0.0663676 + 0.0295488i 0.00413187 + 0.00183963i
\(259\) 1.29576 3.98795i 0.0805149 0.247799i
\(260\) 0.587185 3.63839i 0.0364157 0.225643i
\(261\) −8.29159 6.02420i −0.513237 0.372888i
\(262\) −0.482875 + 0.536287i −0.0298321 + 0.0331319i
\(263\) 1.83367 17.4462i 0.113069 1.07578i −0.779975 0.625810i \(-0.784768\pi\)
0.893044 0.449969i \(-0.148565\pi\)
\(264\) 0.735384 0.327414i 0.0452597 0.0201509i
\(265\) −0.381614 1.17449i −0.0234424 0.0721483i
\(266\) 0.492249 0.219164i 0.0301818 0.0134378i
\(267\) 1.13602 + 10.8085i 0.0695235 + 0.661472i
\(268\) −2.84096 + 8.74358i −0.173539 + 0.534099i
\(269\) −1.48460 14.1250i −0.0905177 0.861218i −0.941724 0.336387i \(-0.890795\pi\)
0.851206 0.524831i \(-0.175872\pi\)
\(270\) 0.0582671 0.0647122i 0.00354602 0.00393826i
\(271\) 17.4089 19.3345i 1.05751 1.17449i 0.0733340 0.997307i \(-0.476636\pi\)
0.984179 0.177179i \(-0.0566973\pi\)
\(272\) 3.76210 11.5785i 0.228111 0.702052i
\(273\) −17.2250 4.66949i −1.04250 0.282610i
\(274\) −0.109998 −0.00664523
\(275\) 10.6859 2.27136i 0.644385 0.136968i
\(276\) 1.09652 10.4327i 0.0660029 0.627976i
\(277\) −0.0680177 0.647145i −0.00408679 0.0388832i 0.992288 0.123950i \(-0.0395563\pi\)
−0.996375 + 0.0850669i \(0.972890\pi\)
\(278\) 0.445030 0.0266911
\(279\) 5.23219 2.61723i 0.313243 0.156689i
\(280\) −0.109124 + 0.189008i −0.00652139 + 0.0112954i
\(281\) 6.33496 4.60262i 0.377912 0.274569i −0.382572 0.923926i \(-0.624962\pi\)
0.760484 + 0.649356i \(0.224962\pi\)
\(282\) 0.00815853 0.00363241i 0.000485833 0.000216307i
\(283\) 17.0423 3.62244i 1.01306 0.215332i 0.328665 0.944446i \(-0.393401\pi\)
0.684392 + 0.729115i \(0.260068\pi\)
\(284\) −8.49988 14.7222i −0.504375 0.873603i
\(285\) −5.19910 −0.307968
\(286\) 0.162808 + 0.321854i 0.00962704 + 0.0190316i
\(287\) −0.388027 1.19422i −0.0229045 0.0704928i
\(288\) −0.365610 + 0.406051i −0.0215438 + 0.0239268i
\(289\) −7.01966 3.12536i −0.412921 0.183844i
\(290\) −0.144868 0.160892i −0.00850692 0.00944790i
\(291\) −2.74759 + 1.99624i −0.161067 + 0.117022i
\(292\) −6.00292 + 2.67267i −0.351294 + 0.156406i
\(293\) −29.3260 6.23343i −1.71324 0.364161i −0.756252 0.654280i \(-0.772972\pi\)
−0.956991 + 0.290119i \(0.906305\pi\)
\(294\) −0.0672332 0.0488478i −0.00392112 0.00284886i
\(295\) 2.85207 1.26982i 0.166054 0.0739319i
\(296\) 0.197910 0.219802i 0.0115033 0.0127757i
\(297\) 0.945489 8.99572i 0.0548628 0.521985i
\(298\) 0.189292 0.137529i 0.0109654 0.00796684i
\(299\) 9.39080 + 0.519716i 0.543084 + 0.0300559i
\(300\) −15.4159 + 11.2003i −0.890037 + 0.646650i
\(301\) −1.36903 + 1.52046i −0.0789093 + 0.0876377i
\(302\) 0.568420 0.631295i 0.0327089 0.0363269i
\(303\) 20.1134 + 22.3382i 1.15549 + 1.28330i
\(304\) −20.1416 −1.15520
\(305\) 2.79379 4.83899i 0.159972 0.277080i
\(306\) −0.0931103 0.103409i −0.00532276 0.00591153i
\(307\) 20.1153 + 14.6146i 1.14804 + 0.834101i 0.988219 0.153045i \(-0.0489080\pi\)
0.159822 + 0.987146i \(0.448908\pi\)
\(308\) 1.18429 + 11.2678i 0.0674813 + 0.642041i
\(309\) −2.46887 4.27621i −0.140449 0.243265i
\(310\) 0.119605 0.0310991i 0.00679313 0.00176631i
\(311\) −26.2117 −1.48633 −0.743163 0.669110i \(-0.766675\pi\)
−0.743163 + 0.669110i \(0.766675\pi\)
\(312\) −0.975980 0.795074i −0.0552540 0.0450122i
\(313\) 8.35252 + 6.06846i 0.472112 + 0.343010i 0.798264 0.602308i \(-0.205752\pi\)
−0.326152 + 0.945318i \(0.605752\pi\)
\(314\) 0.176596 0.0375367i 0.00996591 0.00211832i
\(315\) −0.660973 1.14484i −0.0372416 0.0645043i
\(316\) 13.8860 24.0513i 0.781151 1.35299i
\(317\) −1.53831 + 4.73442i −0.0863999 + 0.265911i −0.984917 0.173027i \(-0.944645\pi\)
0.898517 + 0.438938i \(0.144645\pi\)
\(318\) −0.206201 0.0438293i −0.0115632 0.00245783i
\(319\) −21.9975 4.67572i −1.23163 0.261790i
\(320\) 3.29223 2.39194i 0.184041 0.133714i
\(321\) −18.4972 20.5432i −1.03241 1.14661i
\(322\) −0.254284 0.113215i −0.0141707 0.00630920i
\(323\) 1.61106 15.3282i 0.0896416 0.852883i
\(324\) 6.82171 + 20.9951i 0.378984 + 1.16639i
\(325\) −10.7125 13.3083i −0.594224 0.738213i
\(326\) 0.614328 + 0.446335i 0.0340245 + 0.0247202i
\(327\) 3.69953 4.10875i 0.204585 0.227214i
\(328\) 0.00925822 0.0880861i 0.000511200 0.00486374i
\(329\) 0.0262900 + 0.250133i 0.00144942 + 0.0137903i
\(330\) −0.0318281 + 0.0979567i −0.00175208 + 0.00539234i
\(331\) 1.24508 + 11.8461i 0.0684357 + 0.651123i 0.973943 + 0.226792i \(0.0728238\pi\)
−0.905507 + 0.424330i \(0.860510\pi\)
\(332\) −35.0875 7.45807i −1.92568 0.409315i
\(333\) 0.553610 + 1.70384i 0.0303376 + 0.0933696i
\(334\) −0.491331 0.545678i −0.0268844 0.0298582i
\(335\) −1.17688 2.03841i −0.0642998 0.111370i
\(336\) −9.87160 17.0981i −0.538540 0.932778i
\(337\) 2.13237 6.56275i 0.116157 0.357496i −0.876029 0.482258i \(-0.839817\pi\)
0.992187 + 0.124762i \(0.0398168\pi\)
\(338\) 0.334207 0.454379i 0.0181785 0.0247150i
\(339\) 31.1609 22.6397i 1.69243 1.22962i
\(340\) 1.55993 + 2.70188i 0.0845993 + 0.146530i
\(341\) 8.15241 9.91607i 0.441478 0.536985i
\(342\) −0.115107 + 0.199372i −0.00622429 + 0.0107808i
\(343\) 15.8210 11.4946i 0.854253 0.620651i
\(344\) −0.131839 + 0.0586986i −0.00710829 + 0.00316481i
\(345\) 1.79710 + 1.99588i 0.0967527 + 0.107455i
\(346\) 0.454916 0.0244564
\(347\) 2.96495 5.13545i 0.159167 0.275685i −0.775402 0.631468i \(-0.782453\pi\)
0.934569 + 0.355783i \(0.115786\pi\)
\(348\) 38.3687 8.15553i 2.05678 0.437182i
\(349\) −19.4224 + 21.5707i −1.03966 + 1.15466i −0.0518996 + 0.998652i \(0.516528\pi\)
−0.987757 + 0.156003i \(0.950139\pi\)
\(350\) 0.156243 + 0.480865i 0.00835151 + 0.0257033i
\(351\) −13.2204 + 5.03051i −0.705655 + 0.268509i
\(352\) −0.370492 + 1.14026i −0.0197473 + 0.0607760i
\(353\) −9.84690 4.38412i −0.524098 0.233343i 0.127595 0.991826i \(-0.459274\pi\)
−0.651693 + 0.758483i \(0.725941\pi\)
\(354\) 0.0557068 0.530014i 0.00296078 0.0281699i
\(355\) 4.25722 + 0.904899i 0.225950 + 0.0480271i
\(356\) −8.72900 6.34199i −0.462636 0.336125i
\(357\) 13.8016 6.14489i 0.730460 0.325222i
\(358\) 0.181560 + 0.0385919i 0.00959577 + 0.00203964i
\(359\) 17.6670 + 12.8358i 0.932426 + 0.677447i 0.946586 0.322453i \(-0.104507\pi\)
−0.0141596 + 0.999900i \(0.504507\pi\)
\(360\) −0.00974679 0.0927345i −0.000513701 0.00488754i
\(361\) −6.35692 + 1.35120i −0.334575 + 0.0711160i
\(362\) 0.156405 + 0.0696359i 0.00822045 + 0.00365998i
\(363\) −3.53523 10.8803i −0.185552 0.571069i
\(364\) 14.8876 9.60629i 0.780323 0.503507i
\(365\) 0.519868 1.59999i 0.0272112 0.0837473i
\(366\) −0.476911 0.826034i −0.0249285 0.0431775i
\(367\) −16.1977 28.0552i −0.845511 1.46447i −0.885177 0.465255i \(-0.845963\pi\)
0.0396657 0.999213i \(-0.487371\pi\)
\(368\) 6.96207 + 7.73216i 0.362923 + 0.403067i
\(369\) 0.434025 + 0.315337i 0.0225944 + 0.0164158i
\(370\) 0.00395582 + 0.0376371i 0.000205653 + 0.00195666i
\(371\) 2.96846 5.14152i 0.154115 0.266934i
\(372\) −5.95543 + 21.5842i −0.308775 + 1.11909i
\(373\) 5.53426 9.58562i 0.286553 0.496325i −0.686432 0.727194i \(-0.740824\pi\)
0.972985 + 0.230870i \(0.0741572\pi\)
\(374\) −0.278937 0.124191i −0.0144235 0.00642176i
\(375\) 1.04806 9.97159i 0.0541214 0.514931i
\(376\) −0.00548217 + 0.0168724i −0.000282721 + 0.000870126i
\(377\) 9.00287 + 33.9969i 0.463671 + 1.75093i
\(378\) 0.418631 0.0215320
\(379\) 5.50417 1.16995i 0.282730 0.0600962i −0.0643638 0.997927i \(-0.520502\pi\)
0.347094 + 0.937830i \(0.387168\pi\)
\(380\) 3.45376 3.83579i 0.177174 0.196772i
\(381\) 18.1654 + 3.86118i 0.930642 + 0.197814i
\(382\) −0.163551 + 0.118827i −0.00836798 + 0.00607969i
\(383\) 6.08956 + 6.76314i 0.311162 + 0.345580i 0.878359 0.478002i \(-0.158639\pi\)
−0.567197 + 0.823582i \(0.691972\pi\)
\(384\) −0.291411 2.77259i −0.0148710 0.141488i
\(385\) −2.34672 1.70499i −0.119600 0.0868942i
\(386\) −0.487029 0.103521i −0.0247891 0.00526909i
\(387\) 0.0913719 0.869346i 0.00464470 0.0441913i
\(388\) 0.352438 3.35323i 0.0178923 0.170234i
\(389\) 6.18790 + 19.0444i 0.313739 + 0.965589i 0.976270 + 0.216555i \(0.0694821\pi\)
−0.662532 + 0.749034i \(0.730518\pi\)
\(390\) 0.159160 0.0247312i 0.00805938 0.00125231i
\(391\) −6.44122 + 4.67982i −0.325746 + 0.236669i
\(392\) 0.161480 0.0343236i 0.00815597 0.00173360i
\(393\) 30.5805 + 13.6153i 1.54258 + 0.686803i
\(394\) −0.945668 0.201008i −0.0476421 0.0101266i
\(395\) 2.19720 + 6.76229i 0.110553 + 0.340248i
\(396\) −3.23901 3.59729i −0.162766 0.180770i
\(397\) 11.5829 20.0622i 0.581330 1.00689i −0.413992 0.910281i \(-0.635866\pi\)
0.995322 0.0966129i \(-0.0308009\pi\)
\(398\) −0.752268 −0.0377078
\(399\) −16.7247 18.5746i −0.837280 0.929894i
\(400\) 1.97556 18.7962i 0.0987779 0.939809i
\(401\) 33.2984 + 14.8254i 1.66284 + 0.740346i 0.999965 0.00838135i \(-0.00266790\pi\)
0.662879 + 0.748727i \(0.269335\pi\)
\(402\) −0.401796 −0.0200398
\(403\) −19.5919 4.37670i −0.975945 0.218019i
\(404\) −29.8421 −1.48470
\(405\) −5.16321 2.29881i −0.256562 0.114229i
\(406\) 0.108796 1.03513i 0.00539946 0.0513724i
\(407\) 2.63040 + 2.92135i 0.130384 + 0.144806i
\(408\) 1.06565 0.0527575
\(409\) −9.25461 + 16.0295i −0.457611 + 0.792605i −0.998834 0.0482736i \(-0.984628\pi\)
0.541223 + 0.840879i \(0.317961\pi\)
\(410\) 0.00758312 + 0.00842191i 0.000374504 + 0.000415928i
\(411\) 1.57674 + 4.85269i 0.0777746 + 0.239366i
\(412\) 4.79498 + 1.01920i 0.236232 + 0.0502126i
\(413\) 13.7113 + 6.10466i 0.674688 + 0.300391i
\(414\) 0.116324 0.0247255i 0.00571704 0.00121519i
\(415\) 7.42992 5.39815i 0.364721 0.264985i
\(416\) 1.85269 0.287882i 0.0908357 0.0141146i
\(417\) −6.37915 19.6330i −0.312388 0.961432i
\(418\) −0.0528028 + 0.502385i −0.00258267 + 0.0245724i
\(419\) 0.200228 1.90504i 0.00978176 0.0930673i −0.988542 0.150948i \(-0.951768\pi\)
0.998324 + 0.0578803i \(0.0184342\pi\)
\(420\) 4.94892 + 1.05193i 0.241483 + 0.0513287i
\(421\) 6.02293 + 4.37592i 0.293540 + 0.213269i 0.724802 0.688958i \(-0.241931\pi\)
−0.431262 + 0.902227i \(0.641931\pi\)
\(422\) −0.0349077 0.332125i −0.00169928 0.0161676i
\(423\) −0.0719026 0.0798560i −0.00349603 0.00388273i
\(424\) 0.338791 0.246146i 0.0164531 0.0119539i
\(425\) 14.1463 + 3.00689i 0.686196 + 0.145855i
\(426\) 0.497137 0.552126i 0.0240863 0.0267506i
\(427\) 26.2752 5.58497i 1.27155 0.270276i
\(428\) 27.4441 1.32656
\(429\) 11.8652 11.7960i 0.572859 0.569515i
\(430\) 0.00570612 0.0175616i 0.000275173 0.000846897i
\(431\) 2.63781 25.0971i 0.127059 1.20888i −0.726232 0.687450i \(-0.758730\pi\)
0.853291 0.521435i \(-0.174603\pi\)
\(432\) −14.2955 6.36476i −0.687792 0.306225i
\(433\) 3.99462 6.91889i 0.191969 0.332501i −0.753933 0.656951i \(-0.771846\pi\)
0.945903 + 0.324450i \(0.105179\pi\)
\(434\) 0.495858 + 0.327269i 0.0238019 + 0.0157094i
\(435\) −5.02137 + 8.69726i −0.240756 + 0.417002i
\(436\) 0.573752 + 5.45889i 0.0274778 + 0.261433i
\(437\) 10.6565 + 7.74238i 0.509768 + 0.370368i
\(438\) −0.192161 0.213417i −0.00918181 0.0101974i
\(439\) 6.49961 + 11.2576i 0.310209 + 0.537298i 0.978408 0.206685i \(-0.0662675\pi\)
−0.668198 + 0.743983i \(0.732934\pi\)
\(440\) −0.102303 0.177193i −0.00487708 0.00844735i
\(441\) −0.309002 + 0.951009i −0.0147144 + 0.0452861i
\(442\) 0.0235941 + 0.476905i 0.00112226 + 0.0226841i
\(443\) 2.96601 + 9.12845i 0.140920 + 0.433706i 0.996464 0.0840239i \(-0.0267772\pi\)
−0.855544 + 0.517730i \(0.826777\pi\)
\(444\) −6.26389 2.78886i −0.297271 0.132354i
\(445\) 2.70203 0.574334i 0.128088 0.0272260i
\(446\) −0.0845974 0.804890i −0.00400580 0.0381127i
\(447\) −8.78060 6.37948i −0.415308 0.301739i
\(448\) 19.1362 + 4.06751i 0.904098 + 0.192172i
\(449\) 5.97259 2.65917i 0.281864 0.125494i −0.260936 0.965356i \(-0.584031\pi\)
0.542800 + 0.839862i \(0.317364\pi\)
\(450\) −0.174764 0.126974i −0.00823846 0.00598559i
\(451\) 1.15146 + 0.244751i 0.0542203 + 0.0115249i
\(452\) −3.99706 + 38.0294i −0.188006 + 1.78875i
\(453\) −35.9981 16.0274i −1.69134 0.753033i
\(454\) −0.200658 + 0.617561i −0.00941733 + 0.0289836i
\(455\) −0.722724 + 4.47823i −0.0338818 + 0.209943i
\(456\) −0.544806 1.67674i −0.0255129 0.0785206i
\(457\) −21.2484 + 23.5987i −0.993958 + 1.10390i 0.000629939 1.00000i \(0.499799\pi\)
−0.994588 + 0.103902i \(0.966867\pi\)
\(458\) −0.898943 + 0.191076i −0.0420048 + 0.00892840i
\(459\) 5.98718 10.3701i 0.279457 0.484035i
\(460\) −2.66634 −0.124319
\(461\) −20.6537 22.9382i −0.961937 1.06834i −0.997618 0.0689761i \(-0.978027\pi\)
0.0356813 0.999363i \(-0.488640\pi\)
\(462\) −0.452352 + 0.201400i −0.0210453 + 0.00936998i
\(463\) −17.2532 + 12.5352i −0.801826 + 0.582561i −0.911449 0.411413i \(-0.865036\pi\)
0.109623 + 0.993973i \(0.465036\pi\)
\(464\) −19.4530 + 33.6936i −0.903084 + 1.56419i
\(465\) −3.08642 4.83075i −0.143129 0.224021i
\(466\) 0.114743 + 0.198741i 0.00531537 + 0.00920649i
\(467\) 5.65279 4.10699i 0.261580 0.190049i −0.449263 0.893399i \(-0.648313\pi\)
0.710843 + 0.703350i \(0.248313\pi\)
\(468\) −2.73347 + 7.05911i −0.126355 + 0.326307i
\(469\) 3.49673 10.7618i 0.161464 0.496936i
\(470\) −0.00113497 0.00196582i −5.23522e−5 9.06767e-5i
\(471\) −4.18734 7.25269i −0.192943 0.334186i
\(472\) 0.708390 + 0.786747i 0.0326063 + 0.0362130i
\(473\) −0.592720 1.82421i −0.0272533 0.0838771i
\(474\) 1.18723 + 0.252354i 0.0545313 + 0.0115910i
\(475\) −2.50103 23.7957i −0.114755 1.09182i
\(476\) −4.63486 + 14.2646i −0.212438 + 0.653818i
\(477\) 0.265139 + 2.52262i 0.0121399 + 0.115503i
\(478\) 0.0880718 0.837947i 0.00402831 0.0383268i
\(479\) −4.66640 + 5.18256i −0.213213 + 0.236797i −0.840259 0.542185i \(-0.817597\pi\)
0.627046 + 0.778982i \(0.284264\pi\)
\(480\) 0.433148 + 0.314701i 0.0197704 + 0.0143641i
\(481\) 2.21985 5.73270i 0.101216 0.261389i
\(482\) −0.188626 0.580530i −0.00859166 0.0264424i
\(483\) −1.34963 + 12.8409i −0.0614103 + 0.584280i
\(484\) 10.3757 + 4.61958i 0.471625 + 0.209981i
\(485\) 0.577615 + 0.641506i 0.0262281 + 0.0291293i
\(486\) −0.367398 + 0.266930i −0.0166655 + 0.0121082i
\(487\) −1.84615 0.392411i −0.0836569 0.0177818i 0.165893 0.986144i \(-0.446949\pi\)
−0.249550 + 0.968362i \(0.580283\pi\)
\(488\) 1.85336 + 0.393944i 0.0838977 + 0.0178330i
\(489\) 10.8847 33.4996i 0.492223 1.51491i
\(490\) −0.0105616 + 0.0182932i −0.000477123 + 0.000826401i
\(491\) −14.9586 25.9090i −0.675072 1.16926i −0.976448 0.215754i \(-0.930779\pi\)
0.301376 0.953505i \(-0.402554\pi\)
\(492\) −2.00842 + 0.426902i −0.0905464 + 0.0192462i
\(493\) −24.0856 17.4992i −1.08476 0.788125i
\(494\) 0.738323 0.280939i 0.0332187 0.0126400i
\(495\) 1.23931 0.0557029
\(496\) −11.9570 18.7146i −0.536883 0.840309i
\(497\) 10.4619 + 18.1205i 0.469279 + 0.812816i
\(498\) −0.163872 1.55914i −0.00734328 0.0698666i
\(499\) −15.4798 11.2467i −0.692969 0.503472i 0.184666 0.982801i \(-0.440880\pi\)
−0.877635 + 0.479330i \(0.840880\pi\)
\(500\) 6.66062 + 7.39737i 0.297872 + 0.330821i
\(501\) −17.0304 + 29.4975i −0.760861 + 1.31785i
\(502\) 0.135110 0.00603024
\(503\) −12.6719 14.0736i −0.565014 0.627512i 0.391156 0.920325i \(-0.372075\pi\)
−0.956170 + 0.292813i \(0.905409\pi\)
\(504\) 0.299955 0.333134i 0.0133611 0.0148390i
\(505\) 5.11233 5.67782i 0.227496 0.252660i
\(506\) 0.211112 0.153382i 0.00938509 0.00681867i
\(507\) −24.8361 8.23076i −1.10301 0.365541i
\(508\) −14.9160 + 10.8371i −0.661790 + 0.480819i
\(509\) 2.67475 25.4486i 0.118556 1.12799i −0.759858 0.650089i \(-0.774732\pi\)
0.878415 0.477899i \(-0.158602\pi\)
\(510\) −0.0912366 + 0.101329i −0.00404003 + 0.00448690i
\(511\) 7.38856 3.28960i 0.326850 0.145523i
\(512\) 2.79761 + 2.03258i 0.123638 + 0.0898283i
\(513\) −19.3777 4.11886i −0.855546 0.181852i
\(514\) 0.674176 0.300163i 0.0297366 0.0132396i
\(515\) −1.01536 + 0.737700i −0.0447420 + 0.0325070i
\(516\) 2.23863 + 2.48625i 0.0985501 + 0.109451i
\(517\) −0.215404 0.0959039i −0.00947345 0.00421785i
\(518\) −0.121739 + 0.135205i −0.00534892 + 0.00594057i
\(519\) −6.52086 20.0691i −0.286234 0.880938i
\(520\) −0.175050 + 0.267834i −0.00767646 + 0.0117453i
\(521\) 13.9035 0.609124 0.304562 0.952493i \(-0.401490\pi\)
0.304562 + 0.952493i \(0.401490\pi\)
\(522\) 0.222345 + 0.385112i 0.00973176 + 0.0168559i
\(523\) −14.5352 + 3.08955i −0.635580 + 0.135097i −0.514423 0.857537i \(-0.671994\pi\)
−0.121157 + 0.992633i \(0.538660\pi\)
\(524\) −30.3598 + 13.5171i −1.32627 + 0.590495i
\(525\) 18.9743 13.7856i 0.828106 0.601654i
\(526\) −0.380568 + 0.659164i −0.0165936 + 0.0287409i
\(527\) 15.1986 7.60259i 0.662061 0.331174i
\(528\) 18.5091 0.805503
\(529\) 1.69290 + 16.1069i 0.0736044 + 0.700299i
\(530\) −0.00560084 + 0.0532884i −0.000243285 + 0.00231470i
\(531\) −6.27235 + 1.33323i −0.272197 + 0.0578572i
\(532\) 24.8142 1.07583
\(533\) −0.471256 1.77957i −0.0204124 0.0770818i
\(534\) 0.145717 0.448472i 0.00630581 0.0194073i
\(535\) −4.70153 + 5.22158i −0.203265 + 0.225748i
\(536\) 0.534078 0.593154i 0.0230687 0.0256203i
\(537\) −0.900000 8.56293i −0.0388379 0.369518i
\(538\) −0.190429 + 0.586081i −0.00820998 + 0.0252677i
\(539\) 0.229352 + 2.18214i 0.00987888 + 0.0939913i
\(540\) 3.66343 1.63106i 0.157649 0.0701898i
\(541\) −9.17609 28.2411i −0.394511 1.21418i −0.929342 0.369221i \(-0.879625\pi\)
0.534831 0.844959i \(-0.320375\pi\)
\(542\) −1.03125 + 0.459144i −0.0442961 + 0.0197219i
\(543\) 0.830129 7.89815i 0.0356242 0.338942i
\(544\) −1.06203 + 1.17951i −0.0455343 + 0.0505710i
\(545\) −1.13691 0.826014i −0.0486999 0.0353825i
\(546\) 0.600348 + 0.489069i 0.0256925 + 0.0209302i
\(547\) −9.80499 + 30.1767i −0.419231 + 1.29026i 0.489180 + 0.872183i \(0.337296\pi\)
−0.908411 + 0.418078i \(0.862704\pi\)
\(548\) −4.62765 2.06036i −0.197683 0.0880143i
\(549\) −7.67946 + 8.52890i −0.327751 + 0.364005i
\(550\) −0.463648 0.0985514i −0.0197700 0.00420224i
\(551\) −15.2205 + 46.8438i −0.648414 + 1.99561i
\(552\) −0.455369 + 0.788723i −0.0193818 + 0.0335703i
\(553\) −17.0913 + 29.6030i −0.726797 + 1.25885i
\(554\) −0.00872460 + 0.0268516i −0.000370673 + 0.00114081i
\(555\) 1.60370 0.714013i 0.0680732 0.0303082i
\(556\) 18.7225 + 8.33580i 0.794012 + 0.353517i
\(557\) 15.2143 + 26.3520i 0.644652 + 1.11657i 0.984382 + 0.176047i \(0.0563310\pi\)
−0.339730 + 0.940523i \(0.610336\pi\)
\(558\) −0.253579 + 0.0114040i −0.0107349 + 0.000482771i
\(559\) −2.12719 + 2.11478i −0.0899706 + 0.0894455i
\(560\) −4.05983 + 2.94964i −0.171559 + 0.124645i
\(561\) −1.48048 + 14.0858i −0.0625058 + 0.594703i
\(562\) −0.332328 + 0.0706385i −0.0140184 + 0.00297971i
\(563\) −4.26717 + 7.39096i −0.179840 + 0.311492i −0.941826 0.336102i \(-0.890891\pi\)
0.761986 + 0.647594i \(0.224225\pi\)
\(564\) 0.411269 0.0173176
\(565\) −6.55081 7.27542i −0.275595 0.306079i
\(566\) −0.739440 0.157173i −0.0310810 0.00660647i
\(567\) −8.39635 25.8413i −0.352614 1.08523i
\(568\) 0.154272 + 1.46780i 0.00647312 + 0.0615876i
\(569\) −25.3473 + 5.38774i −1.06262 + 0.225866i −0.705874 0.708337i \(-0.749446\pi\)
−0.356741 + 0.934203i \(0.616112\pi\)
\(570\) 0.206079 + 0.0917524i 0.00863171 + 0.00384308i
\(571\) 21.7286 + 15.7867i 0.909313 + 0.660654i 0.940841 0.338849i \(-0.110037\pi\)
−0.0315283 + 0.999503i \(0.510037\pi\)
\(572\) 0.820764 + 16.5900i 0.0343179 + 0.693663i
\(573\) 7.58654 + 5.51194i 0.316932 + 0.230265i
\(574\) −0.00569495 + 0.0541838i −0.000237703 + 0.00226159i
\(575\) −8.27044 + 9.18525i −0.344901 + 0.383052i
\(576\) −7.63586 + 3.39970i −0.318161 + 0.141654i
\(577\) 17.7559 12.9004i 0.739186 0.537050i −0.153270 0.988184i \(-0.548980\pi\)
0.892456 + 0.451134i \(0.148980\pi\)
\(578\) 0.223086 + 0.247763i 0.00927917 + 0.0103056i
\(579\) 2.41422 + 22.9697i 0.100331 + 0.954590i
\(580\) −3.08097 9.48226i −0.127930 0.393729i
\(581\) 43.1866 + 9.17960i 1.79168 + 0.380834i
\(582\) 0.144137 0.0306373i 0.00597467 0.00126995i
\(583\) 2.78290 + 4.82012i 0.115256 + 0.199629i
\(584\) 0.570483 0.0236068
\(585\) −0.874803 1.72939i −0.0361686 0.0715015i
\(586\) 1.05240 + 0.764616i 0.0434744 + 0.0315860i
\(587\) 29.7975 + 13.2667i 1.22987 + 0.547575i 0.915728 0.401799i \(-0.131615\pi\)
0.314147 + 0.949374i \(0.398282\pi\)
\(588\) −1.91355 3.31437i −0.0789137 0.136682i
\(589\) −19.7325 20.0274i −0.813062 0.825215i
\(590\) −0.135458 −0.00557673
\(591\) 4.68770 + 44.6005i 0.192826 + 1.83462i
\(592\) 6.21281 2.76612i 0.255345 0.113687i
\(593\) −7.94792 + 24.4612i −0.326382 + 1.00450i 0.644431 + 0.764662i \(0.277094\pi\)
−0.970813 + 0.239838i \(0.922906\pi\)
\(594\) −0.196231 + 0.339882i −0.00805146 + 0.0139455i
\(595\) −1.92001 3.32555i −0.0787127 0.136334i
\(596\) 10.5396 2.24026i 0.431720 0.0917648i
\(597\) 10.7832 + 33.1871i 0.441325 + 1.35826i
\(598\) −0.363056 0.186327i −0.0148465 0.00761947i
\(599\) −21.9725 + 15.9639i −0.897770 + 0.652268i −0.937892 0.346927i \(-0.887225\pi\)
0.0401221 + 0.999195i \(0.487225\pi\)
\(600\) 1.61818 0.343954i 0.0660618 0.0140419i
\(601\) 20.1359 + 8.96506i 0.821359 + 0.365692i 0.774000 0.633185i \(-0.218253\pi\)
0.0473587 + 0.998878i \(0.484920\pi\)
\(602\) 0.0810974 0.0361069i 0.00330528 0.00147161i
\(603\) 1.49396 + 4.59795i 0.0608389 + 0.187243i
\(604\) 35.7383 15.9117i 1.45417 0.647438i
\(605\) −2.65643 + 1.18272i −0.107999 + 0.0480843i
\(606\) −0.403027 1.24039i −0.0163719 0.0503874i
\(607\) −35.1541 + 15.6516i −1.42686 + 0.635280i −0.967477 0.252957i \(-0.918597\pi\)
−0.459385 + 0.888237i \(0.651930\pi\)
\(608\) 2.39885 + 1.06804i 0.0972862 + 0.0433146i
\(609\) −47.2253 + 10.0380i −1.91366 + 0.406762i
\(610\) −0.196136 + 0.142501i −0.00794132 + 0.00576971i
\(611\) 0.0182201 + 0.368281i 0.000737106 + 0.0148990i
\(612\) −1.98022 6.09450i −0.0800458 0.246356i
\(613\) −3.16316 + 0.672350i −0.127759 + 0.0271560i −0.271347 0.962482i \(-0.587469\pi\)
0.143588 + 0.989637i \(0.454136\pi\)
\(614\) −0.539405 0.934277i −0.0217686 0.0377043i
\(615\) 0.262844 0.455259i 0.0105989 0.0183578i
\(616\) 0.303960 0.935494i 0.0122469 0.0376921i
\(617\) 7.82676 3.48470i 0.315093 0.140289i −0.243096 0.970002i \(-0.578163\pi\)
0.558189 + 0.829714i \(0.311496\pi\)
\(618\) 0.0223944 + 0.213068i 0.000900835 + 0.00857087i
\(619\) 24.4058 0.980952 0.490476 0.871455i \(-0.336823\pi\)
0.490476 + 0.871455i \(0.336823\pi\)
\(620\) 5.61434 + 0.931968i 0.225477 + 0.0374287i
\(621\) 5.11684 + 8.86263i 0.205332 + 0.355645i
\(622\) 1.03896 + 0.462577i 0.0416587 + 0.0185476i
\(623\) 10.7439 + 7.80589i 0.430445 + 0.312736i
\(624\) −13.0651 25.8284i −0.523024 1.03396i
\(625\) 21.1430 0.845721
\(626\) −0.223978 0.387942i −0.00895198 0.0155053i
\(627\) 22.9202 4.87183i 0.915343 0.194562i
\(628\) 8.13255 + 1.72863i 0.324524 + 0.0689797i
\(629\) 1.60814 + 4.94934i 0.0641207 + 0.197343i
\(630\) 0.00599548 + 0.0570432i 0.000238866 + 0.00227266i
\(631\) −5.51613 6.12628i −0.219593 0.243883i 0.623275 0.782003i \(-0.285802\pi\)
−0.842869 + 0.538119i \(0.819135\pi\)
\(632\) −1.95064 + 1.41722i −0.0775922 + 0.0563740i
\(633\) −14.1517 + 6.30074i −0.562479 + 0.250432i
\(634\) 0.144526 0.160513i 0.00573988 0.00637478i
\(635\) 0.493410 4.69448i 0.0195804 0.186295i
\(636\) −7.85396 5.70623i −0.311430 0.226267i
\(637\) 2.88316 1.86037i 0.114235 0.0737106i
\(638\) 0.789411 + 0.573541i 0.0312531 + 0.0227067i
\(639\) −8.16671 3.63606i −0.323070 0.143840i
\(640\) −0.693119 + 0.147327i −0.0273979 + 0.00582361i
\(641\) −0.515827 4.90777i −0.0203739 0.193845i 0.979601 0.200953i \(-0.0644040\pi\)
−0.999975 + 0.00710832i \(0.997737\pi\)
\(642\) 0.370641 + 1.14072i 0.0146281 + 0.0450205i
\(643\) −5.23616 1.11298i −0.206494 0.0438916i 0.103503 0.994629i \(-0.466995\pi\)
−0.309997 + 0.950737i \(0.600328\pi\)
\(644\) −8.57719 9.52593i −0.337989 0.375374i
\(645\) −0.856544 −0.0337264
\(646\) −0.334366 + 0.579139i −0.0131555 + 0.0227859i
\(647\) −24.4631 + 5.19980i −0.961746 + 0.204425i −0.661925 0.749570i \(-0.730260\pi\)
−0.299821 + 0.953996i \(0.596927\pi\)
\(648\) 0.200335 1.90606i 0.00786989 0.0748770i
\(649\) −11.3834 + 8.27053i −0.446838 + 0.324647i
\(650\) 0.189756 + 0.716561i 0.00744283 + 0.0281058i
\(651\) 7.33011 26.5665i 0.287290 1.04122i
\(652\) 17.4847 + 30.2843i 0.684752 + 1.18603i
\(653\) 8.09582 + 3.60449i 0.316814 + 0.141055i 0.558982 0.829180i \(-0.311192\pi\)
−0.242168 + 0.970234i \(0.577859\pi\)
\(654\) −0.219150 + 0.0975721i −0.00856946 + 0.00381537i
\(655\) 2.62924 8.09196i 0.102733 0.316179i
\(656\) 1.01827 1.76370i 0.0397568 0.0688608i
\(657\) −1.72773 + 2.99252i −0.0674053 + 0.116749i
\(658\) 0.00337221 0.0103786i 0.000131462 0.000404600i
\(659\) 41.2550 + 8.76903i 1.60707 + 0.341593i 0.922091 0.386972i \(-0.126479\pi\)
0.684977 + 0.728565i \(0.259812\pi\)
\(660\) −3.17383 + 3.52490i −0.123541 + 0.137206i
\(661\) −11.6120 5.16999i −0.451654 0.201089i 0.168286 0.985738i \(-0.446177\pi\)
−0.619941 + 0.784649i \(0.712843\pi\)
\(662\) 0.159706 0.491524i 0.00620714 0.0191036i
\(663\) 20.7010 7.87694i 0.803961 0.305915i
\(664\) 2.51951 + 1.83053i 0.0977760 + 0.0710384i
\(665\) −4.25099 + 4.72120i −0.164846 + 0.183080i
\(666\) 0.00812516 0.0773057i 0.000314844 0.00299554i
\(667\) 23.2439 10.3489i 0.900009 0.400710i
\(668\) −10.4494 32.1599i −0.404298 1.24430i
\(669\) −34.2960 + 15.2696i −1.32596 + 0.590356i
\(670\) 0.0106751 + 0.101567i 0.000412416 + 0.00392387i
\(671\) −7.78200 + 23.9505i −0.300421 + 0.924600i
\(672\) 0.269049 + 2.55983i 0.0103788 + 0.0987477i
\(673\) −10.1270 + 11.2472i −0.390367 + 0.433546i −0.906009 0.423257i \(-0.860887\pi\)
0.515642 + 0.856804i \(0.327553\pi\)
\(674\) −0.200339 + 0.222500i −0.00771679 + 0.00857036i
\(675\) 5.74436 17.6793i 0.221101 0.680478i
\(676\) 22.5711 12.8559i 0.868119 0.494456i
\(677\) −5.50068 −0.211408 −0.105704 0.994398i \(-0.533710\pi\)
−0.105704 + 0.994398i \(0.533710\pi\)
\(678\) −1.63468 + 0.347462i −0.0627794 + 0.0133442i
\(679\) −0.433791 + 4.12724i −0.0166474 + 0.158389i
\(680\) −0.0283127 0.269377i −0.00108574 0.0103301i
\(681\) 30.1207 1.15423
\(682\) −0.498137 + 0.249177i −0.0190747 + 0.00954147i
\(683\) 17.7181 30.6887i 0.677964 1.17427i −0.297629 0.954682i \(-0.596196\pi\)
0.975593 0.219587i \(-0.0704710\pi\)
\(684\) −8.57700 + 6.23155i −0.327950 + 0.238269i
\(685\) 1.18478 0.527500i 0.0452683 0.0201547i
\(686\) −0.829959 + 0.176413i −0.0316880 + 0.00673548i
\(687\) 21.3152 + 36.9190i 0.813225 + 1.40855i
\(688\) −3.31829 −0.126509
\(689\) 4.76183 7.28581i 0.181411 0.277567i
\(690\) −0.0360098 0.110827i −0.00137087 0.00421910i
\(691\) 27.1329 30.1341i 1.03218 1.14636i 0.0430890 0.999071i \(-0.486280\pi\)
0.989094 0.147284i \(-0.0470532\pi\)
\(692\) 19.1384 + 8.52098i 0.727534 + 0.323919i
\(693\) 3.98666 + 4.42764i 0.151441 + 0.168192i
\(694\) −0.208152 + 0.151232i −0.00790135 + 0.00574067i
\(695\) −4.79339 + 2.13416i −0.181824 + 0.0809532i
\(696\) −3.33110 0.708048i −0.126265 0.0268385i
\(697\) 1.26076 + 0.915999i 0.0477549 + 0.0346959i
\(698\) 1.15053 0.512249i 0.0435482 0.0193889i
\(699\) 7.12292 7.91081i 0.269414 0.299214i
\(700\) −2.43386 + 23.1567i −0.0919914 + 0.875240i
\(701\) −3.32784 + 2.41782i −0.125691 + 0.0913198i −0.648855 0.760912i \(-0.724752\pi\)
0.523164 + 0.852232i \(0.324752\pi\)
\(702\) 0.612802 + 0.0339144i 0.0231287 + 0.00128002i
\(703\) 6.96537 5.06064i 0.262704 0.190866i
\(704\) −12.2724 + 13.6298i −0.462532 + 0.513694i
\(705\) −0.0704557 + 0.0782490i −0.00265352 + 0.00294703i
\(706\) 0.312937 + 0.347551i 0.0117775 + 0.0130803i
\(707\) 36.7305 1.38139
\(708\) 12.2712 21.2544i 0.461181 0.798789i
\(709\) 9.42824 + 10.4711i 0.354085 + 0.393251i 0.893703 0.448659i \(-0.148098\pi\)
−0.539618 + 0.841910i \(0.681431\pi\)
\(710\) −0.152776 0.110998i −0.00573358 0.00416569i
\(711\) −1.52657 14.5244i −0.0572510 0.544707i
\(712\) 0.468368 + 0.811237i 0.0175528 + 0.0304024i
\(713\) −0.867675 + 14.4977i −0.0324947 + 0.542943i
\(714\) −0.655506 −0.0245317
\(715\) −3.29706 2.68592i −0.123303 0.100448i
\(716\) 6.91543 + 5.02436i 0.258442 + 0.187769i
\(717\) −38.2294 + 8.12591i −1.42770 + 0.303468i
\(718\) −0.473751 0.820561i −0.0176802 0.0306231i
\(719\) −20.3176 + 35.1911i −0.757719 + 1.31241i 0.186293 + 0.982494i \(0.440353\pi\)
−0.944011 + 0.329913i \(0.892981\pi\)
\(720\) 0.662537 2.03908i 0.0246913 0.0759920i
\(721\) −5.90179 1.25446i −0.219794 0.0467187i
\(722\) 0.275818 + 0.0586269i 0.0102649 + 0.00218187i
\(723\) −22.9069 + 16.6429i −0.851919 + 0.618955i
\(724\) 5.27564 + 5.85920i 0.196068 + 0.217755i
\(725\) −42.2219 18.7984i −1.56808 0.698155i
\(726\) −0.0518855 + 0.493658i −0.00192565 + 0.0183214i
\(727\) −0.0931408 0.286658i −0.00345440 0.0106315i 0.949314 0.314328i \(-0.101779\pi\)
−0.952769 + 0.303696i \(0.901779\pi\)
\(728\) −1.51999 + 0.236185i −0.0563346 + 0.00875358i
\(729\) −9.77217 7.09990i −0.361932 0.262959i
\(730\) −0.0488425 + 0.0542451i −0.00180774 + 0.00200770i
\(731\) 0.265419 2.52530i 0.00981689 0.0934014i
\(732\) −4.59142 43.6844i −0.169704 1.61462i
\(733\) −2.23394 + 6.87535i −0.0825123 + 0.253947i −0.983799 0.179277i \(-0.942624\pi\)
0.901286 + 0.433224i \(0.142624\pi\)
\(734\) 0.146924 + 1.39789i 0.00542307 + 0.0515970i
\(735\) 0.958416 + 0.203718i 0.0353517 + 0.00751424i
\(736\) −0.419169 1.29007i −0.0154508 0.0475526i
\(737\) 7.09836 + 7.88353i 0.261471 + 0.290393i
\(738\) −0.0116387 0.0201587i −0.000428425 0.000742054i
\(739\) −2.15882 3.73918i −0.0794134 0.137548i 0.823584 0.567195i \(-0.191971\pi\)
−0.902997 + 0.429647i \(0.858638\pi\)
\(740\) −0.538554 + 1.65750i −0.0197976 + 0.0609308i
\(741\) −22.9772 28.5449i −0.844089 1.04862i
\(742\) −0.208398 + 0.151410i −0.00765055 + 0.00555845i
\(743\) −17.3239 30.0058i −0.635551 1.10081i −0.986398 0.164374i \(-0.947440\pi\)
0.350847 0.936433i \(-0.385894\pi\)
\(744\) 1.23452 1.50160i 0.0452599 0.0550512i
\(745\) −1.37933 + 2.38908i −0.0505349 + 0.0875289i
\(746\) −0.388529 + 0.282283i −0.0142251 + 0.0103351i
\(747\) −17.2327 + 7.67248i −0.630510 + 0.280721i
\(748\) −9.40875 10.4495i −0.344018 0.382071i
\(749\) −33.7790 −1.23426
\(750\) −0.217519 + 0.376753i −0.00794266 + 0.0137571i
\(751\) 0.0600475 0.0127635i 0.00219116 0.000465746i −0.206816 0.978380i \(-0.566310\pi\)
0.209007 + 0.977914i \(0.432977\pi\)
\(752\) −0.272949 + 0.303140i −0.00995342 + 0.0110544i
\(753\) −1.93669 5.96051i −0.0705768 0.217213i
\(754\) 0.243117 1.50643i 0.00885380 0.0548610i