Properties

Label 43.2.g.a.13.1
Level $43$
Weight $2$
Character 43.13
Analytic conductor $0.343$
Analytic rank $0$
Dimension $36$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 43 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 43.g (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.343356728692\)
Analytic rank: \(0\)
Dimension: \(36\)
Relative dimension: \(3\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 13.1
Character \(\chi\) \(=\) 43.13
Dual form 43.2.g.a.10.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.483758 + 2.11948i) q^{2} +(-0.240184 + 0.222858i) q^{3} +(-2.45624 - 1.18286i) q^{4} +(0.0260188 + 0.00392170i) q^{5} +(-0.356153 - 0.616875i) q^{6} +(1.56464 - 2.71003i) q^{7} +(0.984367 - 1.23436i) q^{8} +(-0.216168 + 2.88456i) q^{9} +O(q^{10})\) \(q+(-0.483758 + 2.11948i) q^{2} +(-0.240184 + 0.222858i) q^{3} +(-2.45624 - 1.18286i) q^{4} +(0.0260188 + 0.00392170i) q^{5} +(-0.356153 - 0.616875i) q^{6} +(1.56464 - 2.71003i) q^{7} +(0.984367 - 1.23436i) q^{8} +(-0.216168 + 2.88456i) q^{9} +(-0.0208988 + 0.0532492i) q^{10} +(3.36665 - 1.62129i) q^{11} +(0.853562 - 0.263289i) q^{12} +(-1.78860 - 4.55728i) q^{13} +(4.98695 + 4.62722i) q^{14} +(-0.00712328 + 0.00485657i) q^{15} +(-1.25954 - 1.57942i) q^{16} +(-5.84766 + 0.881392i) q^{17} +(-6.00919 - 1.85359i) q^{18} +(0.296638 + 3.95836i) q^{19} +(-0.0592696 - 0.0404093i) q^{20} +(0.228152 + 0.999599i) q^{21} +(1.80766 + 7.91985i) q^{22} +(0.284113 + 0.193705i) q^{23} +(0.0386574 + 0.515847i) q^{24} +(-4.77720 - 1.47357i) q^{25} +(10.5243 - 1.58629i) q^{26} +(-1.20379 - 1.50950i) q^{27} +(-7.04873 + 4.80574i) q^{28} +(0.971806 + 0.901704i) q^{29} +(-0.00684747 - 0.0174471i) q^{30} +(2.06955 - 0.638371i) q^{31} +(6.80176 - 3.27556i) q^{32} +(-0.447297 + 1.13969i) q^{33} +(0.960755 - 12.8204i) q^{34} +(0.0513379 - 0.0643757i) q^{35} +(3.94300 - 6.82948i) q^{36} +(5.01814 + 8.69167i) q^{37} +(-8.53318 - 1.28617i) q^{38} +(1.44522 + 0.695983i) q^{39} +(0.0304528 - 0.0282561i) q^{40} +(-0.431814 + 1.89190i) q^{41} -2.22900 q^{42} +(6.54856 - 0.341120i) q^{43} -10.1871 q^{44} +(-0.0169368 + 0.0742049i) q^{45} +(-0.547996 + 0.508466i) q^{46} +(-10.0138 - 4.82240i) q^{47} +(0.654509 + 0.0986513i) q^{48} +(-1.39618 - 2.41825i) q^{49} +(5.43422 - 9.41234i) q^{50} +(1.20809 - 1.51490i) q^{51} +(-0.997407 + 13.3095i) q^{52} +(-2.12587 + 5.41662i) q^{53} +(3.78170 - 1.82117i) q^{54} +(0.0939542 - 0.0289810i) q^{55} +(-1.80497 - 4.59898i) q^{56} +(-0.953402 - 0.884627i) q^{57} +(-2.38126 + 1.62352i) q^{58} +(0.107460 + 0.134751i) q^{59} +(0.0232412 - 0.00350304i) q^{60} +(5.31524 + 1.63953i) q^{61} +(0.351855 + 4.69519i) q^{62} +(7.47901 + 5.09911i) q^{63} +(2.75302 + 12.0618i) q^{64} +(-0.0286650 - 0.125589i) q^{65} +(-2.19918 - 1.49937i) q^{66} +(-0.0822742 - 1.09787i) q^{67} +(15.4058 + 4.75207i) q^{68} +(-0.111408 + 0.0167921i) q^{69} +(0.111608 + 0.139952i) q^{70} +(-4.37443 + 2.98244i) q^{71} +(3.34778 + 3.10629i) q^{72} +(-2.70214 - 6.88494i) q^{73} +(-20.8494 + 6.43119i) q^{74} +(1.47581 - 0.710711i) q^{75} +(3.95359 - 10.0736i) q^{76} +(0.873829 - 11.6604i) q^{77} +(-2.17426 + 2.72644i) q^{78} +(2.70765 - 4.68979i) q^{79} +(-0.0265778 - 0.0460341i) q^{80} +(-7.95548 - 1.19910i) q^{81} +(-3.80096 - 1.83044i) q^{82} +(-1.49132 + 1.38374i) q^{83} +(0.621993 - 2.72513i) q^{84} -0.155605 q^{85} +(-2.44492 + 14.0446i) q^{86} -0.434365 q^{87} +(1.31276 - 5.75159i) q^{88} +(2.93360 - 2.72198i) q^{89} +(-0.149083 - 0.0717944i) q^{90} +(-15.1489 - 2.28333i) q^{91} +(-0.468724 - 0.811854i) q^{92} +(-0.354806 + 0.614542i) q^{93} +(15.0652 - 18.8912i) q^{94} +(-0.00780535 + 0.104155i) q^{95} +(-0.903691 + 2.30257i) q^{96} +(-8.11049 + 3.90581i) q^{97} +(5.80084 - 1.78932i) q^{98} +(3.94895 + 10.0618i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} + O(q^{10}) \) \( 36q - 10q^{2} - 16q^{3} - 18q^{4} - 17q^{5} - 4q^{6} + 6q^{7} + 18q^{8} - q^{9} - 7q^{10} - 4q^{11} + 2q^{12} + 18q^{14} - 3q^{15} - 10q^{16} - 10q^{17} + 11q^{18} + 10q^{19} - 3q^{20} - 21q^{21} - 3q^{22} + 4q^{23} + 31q^{24} - 2q^{25} - 15q^{26} - 4q^{27} + 20q^{28} + 9q^{29} + 88q^{30} + 40q^{31} + 48q^{32} - 11q^{33} - 42q^{34} + 11q^{35} - 47q^{36} - 19q^{37} - 21q^{38} - q^{39} - 97q^{40} - 28q^{41} + 2q^{42} - 8q^{43} + 14q^{44} - 46q^{45} - 61q^{46} - 30q^{47} - 97q^{48} + 6q^{49} - 3q^{50} + 57q^{51} - 8q^{52} - 24q^{53} + 6q^{54} + 14q^{55} + 39q^{56} + 52q^{57} + 64q^{58} - q^{59} + 111q^{60} - 14q^{61} + 33q^{62} + 47q^{63} + 48q^{64} + 38q^{65} + 79q^{66} + 66q^{67} + 66q^{68} - 7q^{69} + 47q^{70} - 33q^{71} + 26q^{72} + 29q^{73} - 40q^{74} - 55q^{75} - 39q^{76} - 27q^{77} - 126q^{78} - 17q^{79} + 8q^{80} + 38q^{81} - 54q^{82} - 23q^{83} - 155q^{84} - 56q^{85} - 45q^{86} - 86q^{87} - 17q^{88} - 19q^{89} - 127q^{90} - 13q^{91} - 18q^{92} - 30q^{93} + 44q^{94} + q^{95} - 36q^{96} - 31q^{97} - 5q^{98} - 31q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{16}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.483758 + 2.11948i −0.342068 + 1.49870i 0.452632 + 0.891698i \(0.350485\pi\)
−0.794700 + 0.607002i \(0.792372\pi\)
\(3\) −0.240184 + 0.222858i −0.138670 + 0.128667i −0.746459 0.665432i \(-0.768247\pi\)
0.607788 + 0.794099i \(0.292057\pi\)
\(4\) −2.45624 1.18286i −1.22812 0.591432i
\(5\) 0.0260188 + 0.00392170i 0.0116360 + 0.00175384i 0.154858 0.987937i \(-0.450508\pi\)
−0.143222 + 0.989691i \(0.545746\pi\)
\(6\) −0.356153 0.616875i −0.145399 0.251838i
\(7\) 1.56464 2.71003i 0.591377 1.02430i −0.402670 0.915345i \(-0.631918\pi\)
0.994047 0.108950i \(-0.0347489\pi\)
\(8\) 0.984367 1.23436i 0.348026 0.436411i
\(9\) −0.216168 + 2.88456i −0.0720559 + 0.961519i
\(10\) −0.0208988 + 0.0532492i −0.00660877 + 0.0168389i
\(11\) 3.36665 1.62129i 1.01508 0.488838i 0.149052 0.988829i \(-0.452378\pi\)
0.866030 + 0.499992i \(0.166664\pi\)
\(12\) 0.853562 0.263289i 0.246402 0.0760050i
\(13\) −1.78860 4.55728i −0.496069 1.26396i −0.931500 0.363741i \(-0.881499\pi\)
0.435431 0.900222i \(-0.356596\pi\)
\(14\) 4.98695 + 4.62722i 1.33282 + 1.23668i
\(15\) −0.00712328 + 0.00485657i −0.00183922 + 0.00125396i
\(16\) −1.25954 1.57942i −0.314886 0.394855i
\(17\) −5.84766 + 0.881392i −1.41827 + 0.213769i −0.813004 0.582258i \(-0.802169\pi\)
−0.605261 + 0.796027i \(0.706931\pi\)
\(18\) −6.00919 1.85359i −1.41638 0.436896i
\(19\) 0.296638 + 3.95836i 0.0680535 + 0.908110i 0.921861 + 0.387521i \(0.126669\pi\)
−0.853807 + 0.520589i \(0.825712\pi\)
\(20\) −0.0592696 0.0404093i −0.0132531 0.00903580i
\(21\) 0.228152 + 0.999599i 0.0497868 + 0.218130i
\(22\) 1.80766 + 7.91985i 0.385393 + 1.68852i
\(23\) 0.284113 + 0.193705i 0.0592417 + 0.0403903i 0.592579 0.805512i \(-0.298110\pi\)
−0.533337 + 0.845903i \(0.679062\pi\)
\(24\) 0.0386574 + 0.515847i 0.00789091 + 0.105297i
\(25\) −4.77720 1.47357i −0.955440 0.294714i
\(26\) 10.5243 1.58629i 2.06399 0.311097i
\(27\) −1.20379 1.50950i −0.231669 0.290503i
\(28\) −7.04873 + 4.80574i −1.33208 + 0.908199i
\(29\) 0.971806 + 0.901704i 0.180460 + 0.167442i 0.765230 0.643756i \(-0.222625\pi\)
−0.584771 + 0.811199i \(0.698815\pi\)
\(30\) −0.00684747 0.0174471i −0.00125017 0.00318538i
\(31\) 2.06955 0.638371i 0.371702 0.114655i −0.103276 0.994653i \(-0.532932\pi\)
0.474977 + 0.879998i \(0.342456\pi\)
\(32\) 6.80176 3.27556i 1.20239 0.579042i
\(33\) −0.447297 + 1.13969i −0.0778643 + 0.198395i
\(34\) 0.960755 12.8204i 0.164768 2.19868i
\(35\) 0.0513379 0.0643757i 0.00867769 0.0108815i
\(36\) 3.94300 6.82948i 0.657167 1.13825i
\(37\) 5.01814 + 8.69167i 0.824977 + 1.42890i 0.901937 + 0.431868i \(0.142145\pi\)
−0.0769599 + 0.997034i \(0.524521\pi\)
\(38\) −8.53318 1.28617i −1.38426 0.208644i
\(39\) 1.44522 + 0.695983i 0.231421 + 0.111446i
\(40\) 0.0304528 0.0282561i 0.00481501 0.00446768i
\(41\) −0.431814 + 1.89190i −0.0674381 + 0.295465i −0.997389 0.0722186i \(-0.976992\pi\)
0.929951 + 0.367684i \(0.119849\pi\)
\(42\) −2.22900 −0.343942
\(43\) 6.54856 0.341120i 0.998646 0.0520203i
\(44\) −10.1871 −1.53576
\(45\) −0.0169368 + 0.0742049i −0.00252479 + 0.0110618i
\(46\) −0.547996 + 0.508466i −0.0807976 + 0.0749693i
\(47\) −10.0138 4.82240i −1.46066 0.703419i −0.476255 0.879307i \(-0.658006\pi\)
−0.984410 + 0.175888i \(0.943720\pi\)
\(48\) 0.654509 + 0.0986513i 0.0944702 + 0.0142391i
\(49\) −1.39618 2.41825i −0.199454 0.345464i
\(50\) 5.43422 9.41234i 0.768514 1.33111i
\(51\) 1.20809 1.51490i 0.169166 0.212128i
\(52\) −0.997407 + 13.3095i −0.138315 + 1.84569i
\(53\) −2.12587 + 5.41662i −0.292010 + 0.744030i 0.707301 + 0.706913i \(0.249913\pi\)
−0.999311 + 0.0371173i \(0.988182\pi\)
\(54\) 3.78170 1.82117i 0.514624 0.247830i
\(55\) 0.0939542 0.0289810i 0.0126688 0.00390780i
\(56\) −1.80497 4.59898i −0.241199 0.614565i
\(57\) −0.953402 0.884627i −0.126281 0.117172i
\(58\) −2.38126 + 1.62352i −0.312675 + 0.213178i
\(59\) 0.107460 + 0.134751i 0.0139901 + 0.0175431i 0.788777 0.614679i \(-0.210714\pi\)
−0.774787 + 0.632222i \(0.782143\pi\)
\(60\) 0.0232412 0.00350304i 0.00300042 0.000452241i
\(61\) 5.31524 + 1.63953i 0.680547 + 0.209921i 0.615707 0.787975i \(-0.288870\pi\)
0.0648393 + 0.997896i \(0.479347\pi\)
\(62\) 0.351855 + 4.69519i 0.0446857 + 0.596289i
\(63\) 7.47901 + 5.09911i 0.942267 + 0.642427i
\(64\) 2.75302 + 12.0618i 0.344128 + 1.50772i
\(65\) −0.0286650 0.125589i −0.00355545 0.0155774i
\(66\) −2.19918 1.49937i −0.270700 0.184560i
\(67\) −0.0822742 1.09787i −0.0100514 0.134126i 0.989921 0.141624i \(-0.0452324\pi\)
−0.999972 + 0.00749766i \(0.997613\pi\)
\(68\) 15.4058 + 4.75207i 1.86823 + 0.576273i
\(69\) −0.111408 + 0.0167921i −0.0134120 + 0.00202153i
\(70\) 0.111608 + 0.139952i 0.0133397 + 0.0167275i
\(71\) −4.37443 + 2.98244i −0.519150 + 0.353950i −0.794373 0.607430i \(-0.792201\pi\)
0.275223 + 0.961380i \(0.411248\pi\)
\(72\) 3.34778 + 3.10629i 0.394540 + 0.366080i
\(73\) −2.70214 6.88494i −0.316261 0.805821i −0.997290 0.0735646i \(-0.976562\pi\)
0.681029 0.732256i \(-0.261533\pi\)
\(74\) −20.8494 + 6.43119i −2.42369 + 0.747611i
\(75\) 1.47581 0.710711i 0.170411 0.0820658i
\(76\) 3.95359 10.0736i 0.453508 1.15552i
\(77\) 0.873829 11.6604i 0.0995821 1.32883i
\(78\) −2.17426 + 2.72644i −0.246186 + 0.308708i
\(79\) 2.70765 4.68979i 0.304635 0.527643i −0.672545 0.740056i \(-0.734799\pi\)
0.977180 + 0.212413i \(0.0681323\pi\)
\(80\) −0.0265778 0.0460341i −0.00297149 0.00514677i
\(81\) −7.95548 1.19910i −0.883942 0.133233i
\(82\) −3.80096 1.83044i −0.419746 0.202139i
\(83\) −1.49132 + 1.38374i −0.163694 + 0.151885i −0.757767 0.652526i \(-0.773709\pi\)
0.594073 + 0.804411i \(0.297519\pi\)
\(84\) 0.621993 2.72513i 0.0678650 0.297336i
\(85\) −0.155605 −0.0168778
\(86\) −2.44492 + 14.0446i −0.263642 + 1.51447i
\(87\) −0.434365 −0.0465688
\(88\) 1.31276 5.75159i 0.139941 0.613121i
\(89\) 2.93360 2.72198i 0.310961 0.288530i −0.509217 0.860638i \(-0.670065\pi\)
0.820178 + 0.572109i \(0.193874\pi\)
\(90\) −0.149083 0.0717944i −0.0157147 0.00756780i
\(91\) −15.1489 2.28333i −1.58804 0.239358i
\(92\) −0.468724 0.811854i −0.0488679 0.0846416i
\(93\) −0.354806 + 0.614542i −0.0367917 + 0.0637251i
\(94\) 15.0652 18.8912i 1.55386 1.94848i
\(95\) −0.00780535 + 0.104155i −0.000800812 + 0.0106861i
\(96\) −0.903691 + 2.30257i −0.0922325 + 0.235005i
\(97\) −8.11049 + 3.90581i −0.823495 + 0.396574i −0.797672 0.603092i \(-0.793935\pi\)
−0.0258237 + 0.999667i \(0.508221\pi\)
\(98\) 5.80084 1.78932i 0.585974 0.180749i
\(99\) 3.94895 + 10.0618i 0.396884 + 1.01124i
\(100\) 9.99093 + 9.27023i 0.999093 + 0.927023i
\(101\) 12.6400 8.61780i 1.25773 0.857503i 0.263484 0.964664i \(-0.415128\pi\)
0.994242 + 0.107161i \(0.0341759\pi\)
\(102\) 2.62637 + 3.29336i 0.260049 + 0.326092i
\(103\) 15.8309 2.38613i 1.55987 0.235112i 0.688315 0.725412i \(-0.258351\pi\)
0.871554 + 0.490300i \(0.163113\pi\)
\(104\) −7.38596 2.27827i −0.724253 0.223402i
\(105\) 0.00201611 + 0.0269031i 0.000196752 + 0.00262547i
\(106\) −10.4520 7.12607i −1.01519 0.692145i
\(107\) −3.68337 16.1379i −0.356085 1.56011i −0.762850 0.646576i \(-0.776200\pi\)
0.406765 0.913533i \(-0.366657\pi\)
\(108\) 1.17126 + 5.13161i 0.112704 + 0.493790i
\(109\) 1.69999 + 1.15903i 0.162829 + 0.111015i 0.641993 0.766710i \(-0.278108\pi\)
−0.479164 + 0.877725i \(0.659060\pi\)
\(110\) 0.0159737 + 0.213154i 0.00152303 + 0.0203234i
\(111\) −3.14229 0.969268i −0.298253 0.0919988i
\(112\) −6.25100 + 0.942187i −0.590664 + 0.0890283i
\(113\) 7.27343 + 9.12059i 0.684226 + 0.857993i 0.995736 0.0922502i \(-0.0294060\pi\)
−0.311509 + 0.950243i \(0.600835\pi\)
\(114\) 2.33617 1.59277i 0.218802 0.149177i
\(115\) 0.00663263 + 0.00615418i 0.000618496 + 0.000573880i
\(116\) −1.32040 3.36432i −0.122596 0.312369i
\(117\) 13.5324 4.17419i 1.25107 0.385904i
\(118\) −0.337586 + 0.162573i −0.0310774 + 0.0149661i
\(119\) −6.76086 + 17.2264i −0.619767 + 1.57914i
\(120\) −0.00101718 + 0.0135733i −9.28554e−5 + 0.00123907i
\(121\) 1.84733 2.31648i 0.167939 0.210589i
\(122\) −6.04625 + 10.4724i −0.547402 + 0.948128i
\(123\) −0.317911 0.550638i −0.0286651 0.0496494i
\(124\) −5.83842 0.880000i −0.524305 0.0790263i
\(125\) −0.237053 0.114159i −0.0212026 0.0102106i
\(126\) −14.4255 + 13.3849i −1.28512 + 1.19242i
\(127\) −1.67817 + 7.35255i −0.148914 + 0.652433i 0.844275 + 0.535911i \(0.180032\pi\)
−0.993188 + 0.116522i \(0.962825\pi\)
\(128\) −11.7978 −1.04278
\(129\) −1.49684 + 1.54133i −0.131789 + 0.135707i
\(130\) 0.280051 0.0245621
\(131\) 1.97245 8.64186i 0.172334 0.755043i −0.812700 0.582682i \(-0.802003\pi\)
0.985034 0.172361i \(-0.0551395\pi\)
\(132\) 2.44677 2.27027i 0.212964 0.197602i
\(133\) 11.1914 + 5.38950i 0.970418 + 0.467329i
\(134\) 2.36672 + 0.356726i 0.204454 + 0.0308164i
\(135\) −0.0254012 0.0439962i −0.00218619 0.00378659i
\(136\) −4.66829 + 8.08571i −0.400302 + 0.693344i
\(137\) −10.9540 + 13.7359i −0.935863 + 1.17354i 0.0487538 + 0.998811i \(0.484475\pi\)
−0.984617 + 0.174725i \(0.944096\pi\)
\(138\) 0.0183041 0.244251i 0.00155815 0.0207920i
\(139\) −5.64316 + 14.3785i −0.478646 + 1.21957i 0.464017 + 0.885826i \(0.346408\pi\)
−0.942663 + 0.333745i \(0.891688\pi\)
\(140\) −0.202246 + 0.0973965i −0.0170929 + 0.00823151i
\(141\) 3.47987 1.07340i 0.293058 0.0903964i
\(142\) −4.20506 10.7143i −0.352880 0.899125i
\(143\) −13.4103 12.4429i −1.12142 1.04053i
\(144\) 4.82820 3.29181i 0.402350 0.274317i
\(145\) 0.0217490 + 0.0272724i 0.00180616 + 0.00226485i
\(146\) 15.8997 2.39649i 1.31587 0.198335i
\(147\) 0.874266 + 0.269675i 0.0721083 + 0.0222425i
\(148\) −2.04470 27.2846i −0.168073 2.24278i
\(149\) −5.99816 4.08947i −0.491388 0.335023i 0.292144 0.956374i \(-0.405631\pi\)
−0.783532 + 0.621352i \(0.786584\pi\)
\(150\) 0.792405 + 3.47176i 0.0646996 + 0.283468i
\(151\) 2.23243 + 9.78091i 0.181673 + 0.795960i 0.980834 + 0.194844i \(0.0624199\pi\)
−0.799162 + 0.601116i \(0.794723\pi\)
\(152\) 5.17803 + 3.53032i 0.419994 + 0.286347i
\(153\) −1.27835 17.0584i −0.103349 1.37909i
\(154\) 24.2914 + 7.49290i 1.95745 + 0.603795i
\(155\) 0.0563506 0.00849349i 0.00452619 0.000682213i
\(156\) −2.72656 3.41900i −0.218300 0.273739i
\(157\) 7.98170 5.44183i 0.637009 0.434305i −0.201279 0.979534i \(-0.564510\pi\)
0.838287 + 0.545229i \(0.183557\pi\)
\(158\) 8.63008 + 8.00754i 0.686572 + 0.637046i
\(159\) −0.696540 1.77475i −0.0552392 0.140747i
\(160\) 0.189819 0.0585515i 0.0150065 0.00462890i
\(161\) 0.969481 0.466877i 0.0764058 0.0367951i
\(162\) 6.38998 16.2814i 0.502045 1.27919i
\(163\) −0.507211 + 6.76827i −0.0397279 + 0.530131i 0.941466 + 0.337107i \(0.109449\pi\)
−0.981194 + 0.193024i \(0.938170\pi\)
\(164\) 3.29850 4.13619i 0.257570 0.322982i
\(165\) −0.0161077 + 0.0278993i −0.00125398 + 0.00217196i
\(166\) −2.21138 3.83022i −0.171636 0.297283i
\(167\) 13.8043 + 2.08066i 1.06821 + 0.161006i 0.659534 0.751675i \(-0.270754\pi\)
0.408672 + 0.912681i \(0.365992\pi\)
\(168\) 1.45845 + 0.702351i 0.112522 + 0.0541875i
\(169\) −8.04007 + 7.46009i −0.618467 + 0.573853i
\(170\) 0.0752754 0.329803i 0.00577336 0.0252947i
\(171\) −11.4822 −0.878069
\(172\) −16.4884 6.90818i −1.25722 0.526744i
\(173\) 11.5110 0.875168 0.437584 0.899178i \(-0.355834\pi\)
0.437584 + 0.899178i \(0.355834\pi\)
\(174\) 0.210127 0.920628i 0.0159297 0.0697926i
\(175\) −11.4680 + 10.6408i −0.866900 + 0.804366i
\(176\) −6.80113 3.27525i −0.512655 0.246882i
\(177\) −0.0558405 0.00841661i −0.00419723 0.000632631i
\(178\) 4.35004 + 7.53449i 0.326049 + 0.564734i
\(179\) −0.378359 + 0.655338i −0.0282799 + 0.0489823i −0.879819 0.475309i \(-0.842336\pi\)
0.851539 + 0.524291i \(0.175670\pi\)
\(180\) 0.129375 0.162231i 0.00964306 0.0120920i
\(181\) −0.0777475 + 1.03747i −0.00577892 + 0.0771144i −0.999348 0.0361170i \(-0.988501\pi\)
0.993569 + 0.113231i \(0.0361201\pi\)
\(182\) 12.1679 31.0032i 0.901942 2.29811i
\(183\) −1.64202 + 0.790755i −0.121382 + 0.0584543i
\(184\) 0.518773 0.160020i 0.0382444 0.0117968i
\(185\) 0.0964797 + 0.245826i 0.00709333 + 0.0180735i
\(186\) −1.13087 1.04929i −0.0829195 0.0769380i
\(187\) −18.2580 + 12.4481i −1.33516 + 0.910294i
\(188\) 18.8921 + 23.6900i 1.37785 + 1.72777i
\(189\) −5.97428 + 0.900478i −0.434565 + 0.0655001i
\(190\) −0.216979 0.0669291i −0.0157413 0.00485555i
\(191\) −1.03588 13.8228i −0.0749534 1.00018i −0.900219 0.435438i \(-0.856593\pi\)
0.825265 0.564745i \(-0.191026\pi\)
\(192\) −3.34930 2.28352i −0.241715 0.164799i
\(193\) −3.28671 14.4000i −0.236583 1.03654i −0.944053 0.329794i \(-0.893021\pi\)
0.707470 0.706743i \(-0.249836\pi\)
\(194\) −4.35477 19.0795i −0.312654 1.36983i
\(195\) 0.0348735 + 0.0237764i 0.00249734 + 0.00170266i
\(196\) 0.568889 + 7.59129i 0.0406349 + 0.542235i
\(197\) −7.25577 2.23811i −0.516952 0.159459i 0.0252911 0.999680i \(-0.491949\pi\)
−0.542243 + 0.840221i \(0.682425\pi\)
\(198\) −23.2360 + 3.50227i −1.65131 + 0.248895i
\(199\) −15.6429 19.6156i −1.10890 1.39051i −0.912051 0.410076i \(-0.865502\pi\)
−0.196844 0.980435i \(-0.563069\pi\)
\(200\) −6.52143 + 4.44624i −0.461135 + 0.314396i
\(201\) 0.264431 + 0.245356i 0.0186515 + 0.0173061i
\(202\) 12.1506 + 30.9592i 0.854911 + 2.17828i
\(203\) 3.96417 1.22278i 0.278230 0.0858226i
\(204\) −4.75927 + 2.29195i −0.333216 + 0.160468i
\(205\) −0.0186548 + 0.0475315i −0.00130290 + 0.00331975i
\(206\) −2.60098 + 34.7077i −0.181219 + 2.41820i
\(207\) −0.620169 + 0.777668i −0.0431048 + 0.0540517i
\(208\) −4.94504 + 8.56505i −0.342876 + 0.593879i
\(209\) 7.41633 + 12.8455i 0.512998 + 0.888539i
\(210\) −0.0579959 0.00874147i −0.00400210 0.000603219i
\(211\) 14.4636 + 6.96528i 0.995712 + 0.479510i 0.859481 0.511167i \(-0.170787\pi\)
0.136231 + 0.990677i \(0.456501\pi\)
\(212\) 11.6288 10.7899i 0.798668 0.741055i
\(213\) 0.386008 1.69121i 0.0264489 0.115880i
\(214\) 35.9858 2.45994
\(215\) 0.171723 + 0.0168060i 0.0117114 + 0.00114616i
\(216\) −3.04823 −0.207406
\(217\) 1.50809 6.60736i 0.102376 0.448537i
\(218\) −3.27893 + 3.04241i −0.222077 + 0.206058i
\(219\) 2.18338 + 1.05146i 0.147539 + 0.0710510i
\(220\) −0.265055 0.0399506i −0.0178700 0.00269347i
\(221\) 14.4759 + 25.0730i 0.973754 + 1.68659i
\(222\) 3.57445 6.19113i 0.239901 0.415522i
\(223\) −9.41103 + 11.8011i −0.630209 + 0.790257i −0.989741 0.142876i \(-0.954365\pi\)
0.359532 + 0.933133i \(0.382937\pi\)
\(224\) 1.76543 23.5580i 0.117958 1.57404i
\(225\) 5.28328 13.4616i 0.352219 0.897438i
\(226\) −22.8495 + 11.0037i −1.51993 + 0.731958i
\(227\) 19.2669 5.94305i 1.27879 0.394454i 0.420346 0.907364i \(-0.361909\pi\)
0.858442 + 0.512910i \(0.171433\pi\)
\(228\) 1.29539 + 3.30060i 0.0857894 + 0.218588i
\(229\) −9.80918 9.10159i −0.648209 0.601450i 0.285977 0.958236i \(-0.407682\pi\)
−0.934186 + 0.356786i \(0.883872\pi\)
\(230\) −0.0162523 + 0.0110806i −0.00107164 + 0.000730633i
\(231\) 2.38875 + 2.99539i 0.157168 + 0.197082i
\(232\) 2.06964 0.311948i 0.135878 0.0204804i
\(233\) 8.84939 + 2.72968i 0.579743 + 0.178827i 0.570738 0.821132i \(-0.306657\pi\)
0.00900522 + 0.999959i \(0.497134\pi\)
\(234\) 2.30072 + 30.7009i 0.150403 + 2.00698i
\(235\) −0.241635 0.164744i −0.0157625 0.0107467i
\(236\) −0.104556 0.458091i −0.00680604 0.0298192i
\(237\) 0.394824 + 1.72984i 0.0256466 + 0.112365i
\(238\) −33.2404 22.6629i −2.15465 1.46902i
\(239\) −1.43677 19.1723i −0.0929366 1.24015i −0.827442 0.561550i \(-0.810205\pi\)
0.734506 0.678602i \(-0.237414\pi\)
\(240\) 0.0166426 + 0.00513358i 0.00107428 + 0.000331371i
\(241\) −5.72297 + 0.862599i −0.368649 + 0.0555649i −0.330755 0.943717i \(-0.607303\pi\)
−0.0378946 + 0.999282i \(0.512065\pi\)
\(242\) 4.01607 + 5.03599i 0.258163 + 0.323726i
\(243\) 6.96372 4.74778i 0.446723 0.304571i
\(244\) −11.1162 10.3143i −0.711640 0.660305i
\(245\) −0.0268432 0.0683953i −0.00171495 0.00436961i
\(246\) 1.32086 0.407431i 0.0842149 0.0259769i
\(247\) 17.5088 8.43180i 1.11406 0.536503i
\(248\) 1.24922 3.18295i 0.0793253 0.202118i
\(249\) 0.0498128 0.664706i 0.00315676 0.0421240i
\(250\) 0.356633 0.447204i 0.0225554 0.0282836i
\(251\) −3.71016 + 6.42619i −0.234184 + 0.405618i −0.959035 0.283287i \(-0.908575\pi\)
0.724852 + 0.688905i \(0.241908\pi\)
\(252\) −12.3387 21.3713i −0.777267 1.34627i
\(253\) 1.27056 + 0.191506i 0.0798795 + 0.0120399i
\(254\) −14.7718 7.11370i −0.926863 0.446353i
\(255\) 0.0373740 0.0346780i 0.00234045 0.00217162i
\(256\) 0.201207 0.881545i 0.0125754 0.0550966i
\(257\) −22.5274 −1.40522 −0.702609 0.711576i \(-0.747982\pi\)
−0.702609 + 0.711576i \(0.747982\pi\)
\(258\) −2.54272 3.91815i −0.158303 0.243934i
\(259\) 31.4063 1.95149
\(260\) −0.0781471 + 0.342385i −0.00484648 + 0.0212338i
\(261\) −2.81109 + 2.60831i −0.174002 + 0.161450i
\(262\) 17.3621 + 8.36113i 1.07263 + 0.516552i
\(263\) 5.37090 + 0.809533i 0.331184 + 0.0499180i 0.312530 0.949908i \(-0.398824\pi\)
0.0186545 + 0.999826i \(0.494062\pi\)
\(264\) 0.966484 + 1.67400i 0.0594830 + 0.103028i
\(265\) −0.0765549 + 0.132597i −0.00470273 + 0.00814536i
\(266\) −16.8369 + 21.1128i −1.03234 + 1.29451i
\(267\) −0.0979876 + 1.30755i −0.00599675 + 0.0800210i
\(268\) −1.09655 + 2.79396i −0.0669824 + 0.170668i
\(269\) 2.16753 1.04383i 0.132156 0.0636432i −0.366637 0.930364i \(-0.619491\pi\)
0.498793 + 0.866721i \(0.333777\pi\)
\(270\) 0.105537 0.0325539i 0.00642279 0.00198117i
\(271\) −1.20518 3.07074i −0.0732093 0.186534i 0.889585 0.456770i \(-0.150994\pi\)
−0.962794 + 0.270236i \(0.912898\pi\)
\(272\) 8.75747 + 8.12574i 0.531000 + 0.492696i
\(273\) 4.14738 2.82764i 0.251011 0.171136i
\(274\) −23.8139 29.8616i −1.43865 1.80401i
\(275\) −18.4722 + 2.78424i −1.11392 + 0.167896i
\(276\) 0.293508 + 0.0905354i 0.0176671 + 0.00544959i
\(277\) −1.03223 13.7742i −0.0620207 0.827609i −0.938304 0.345812i \(-0.887603\pi\)
0.876283 0.481797i \(-0.160016\pi\)
\(278\) −27.7451 18.9163i −1.66404 1.13452i
\(279\) 1.39405 + 6.10772i 0.0834595 + 0.365660i
\(280\) −0.0289272 0.126739i −0.00172873 0.00757407i
\(281\) 14.8789 + 10.1443i 0.887603 + 0.605157i 0.918960 0.394351i \(-0.129031\pi\)
−0.0313571 + 0.999508i \(0.509983\pi\)
\(282\) 0.591632 + 7.89479i 0.0352312 + 0.470128i
\(283\) −12.7020 3.91805i −0.755057 0.232904i −0.106752 0.994286i \(-0.534045\pi\)
−0.648304 + 0.761382i \(0.724521\pi\)
\(284\) 14.2725 2.15123i 0.846916 0.127652i
\(285\) −0.0213371 0.0267559i −0.00126390 0.00158488i
\(286\) 32.8599 22.4035i 1.94304 1.32475i
\(287\) 4.45148 + 4.13037i 0.262763 + 0.243808i
\(288\) 7.97821 + 20.3281i 0.470121 + 1.19785i
\(289\) 17.1735 5.29732i 1.01021 0.311607i
\(290\) −0.0683246 + 0.0329034i −0.00401216 + 0.00193215i
\(291\) 1.07757 2.74560i 0.0631682 0.160950i
\(292\) −1.50684 + 20.1073i −0.0881810 + 1.17669i
\(293\) −2.31732 + 2.90583i −0.135379 + 0.169760i −0.844900 0.534924i \(-0.820340\pi\)
0.709521 + 0.704685i \(0.248912\pi\)
\(294\) −0.994505 + 1.72253i −0.0580007 + 0.100460i
\(295\) 0.00226753 + 0.00392748i 0.000132021 + 0.000228667i
\(296\) 15.6683 + 2.36162i 0.910702 + 0.137266i
\(297\) −6.50006 3.13026i −0.377172 0.181636i
\(298\) 11.5692 10.7347i 0.670187 0.621842i
\(299\) 0.374604 1.64125i 0.0216639 0.0949157i
\(300\) −4.46561 −0.257822
\(301\) 9.32167 18.2805i 0.537292 1.05367i
\(302\) −21.8104 −1.25505
\(303\) −1.11538 + 4.88679i −0.0640767 + 0.280738i
\(304\) 5.87828 5.45425i 0.337142 0.312823i
\(305\) 0.131866 + 0.0635035i 0.00755064 + 0.00363620i
\(306\) 36.7734 + 5.54270i 2.10220 + 0.316855i
\(307\) −4.87728 8.44770i −0.278361 0.482136i 0.692617 0.721306i \(-0.256458\pi\)
−0.970978 + 0.239170i \(0.923125\pi\)
\(308\) −15.9391 + 27.6073i −0.908212 + 1.57307i
\(309\) −3.27057 + 4.10117i −0.186056 + 0.233307i
\(310\) −0.00925826 + 0.123543i −0.000525834 + 0.00701676i
\(311\) −1.43950 + 3.66777i −0.0816263 + 0.207980i −0.965860 0.259064i \(-0.916586\pi\)
0.884234 + 0.467044i \(0.154681\pi\)
\(312\) 2.28172 1.09882i 0.129177 0.0622083i
\(313\) −21.8743 + 6.74733i −1.23641 + 0.381382i −0.842966 0.537967i \(-0.819193\pi\)
−0.393444 + 0.919349i \(0.628716\pi\)
\(314\) 7.67265 + 19.5496i 0.432992 + 1.10325i
\(315\) 0.174598 + 0.162003i 0.00983747 + 0.00912783i
\(316\) −12.1980 + 8.31648i −0.686193 + 0.467839i
\(317\) 6.42280 + 8.05394i 0.360740 + 0.452354i 0.928771 0.370653i \(-0.120866\pi\)
−0.568031 + 0.823007i \(0.692295\pi\)
\(318\) 4.09851 0.617752i 0.229833 0.0346418i
\(319\) 4.73365 + 1.46014i 0.265034 + 0.0817520i
\(320\) 0.0243276 + 0.324630i 0.00135996 + 0.0181473i
\(321\) 4.48115 + 3.05520i 0.250113 + 0.170524i
\(322\) 0.520544 + 2.28065i 0.0290088 + 0.127096i
\(323\) −5.22351 22.8857i −0.290644 1.27339i
\(324\) 18.1222 + 12.3555i 1.00679 + 0.686418i
\(325\) 1.82903 + 24.4067i 0.101456 + 1.35384i
\(326\) −14.0998 4.34923i −0.780918 0.240881i
\(327\) −0.666611 + 0.100475i −0.0368637 + 0.00555630i
\(328\) 1.91022 + 2.39534i 0.105474 + 0.132260i
\(329\) −28.7368 + 19.5924i −1.58431 + 1.08017i
\(330\) −0.0513398 0.0476364i −0.00282616 0.00262230i
\(331\) −4.35233 11.0896i −0.239226 0.609537i 0.759956 0.649974i \(-0.225220\pi\)
−0.999182 + 0.0404371i \(0.987125\pi\)
\(332\) 5.29982 1.63478i 0.290865 0.0897201i
\(333\) −26.1564 + 12.5963i −1.43336 + 0.690270i
\(334\) −11.0878 + 28.2514i −0.606700 + 1.54585i
\(335\) 0.00216485 0.0288880i 0.000118279 0.00157832i
\(336\) 1.29142 1.61939i 0.0704526 0.0883447i
\(337\) 1.63994 2.84045i 0.0893330 0.154729i −0.817896 0.575366i \(-0.804860\pi\)
0.907229 + 0.420636i \(0.138193\pi\)
\(338\) −11.9221 20.6497i −0.648476 1.12319i
\(339\) −3.77956 0.569677i −0.205278 0.0309406i
\(340\) 0.382205 + 0.184060i 0.0207280 + 0.00998206i
\(341\) 5.93245 5.50451i 0.321260 0.298086i
\(342\) 5.55463 24.3364i 0.300360 1.31596i
\(343\) 13.1669 0.710945
\(344\) 6.02512 8.41905i 0.324853 0.453925i
\(345\) −0.00296456 −0.000159607
\(346\) −5.56856 + 24.3974i −0.299367 + 1.31161i
\(347\) 9.18271 8.52031i 0.492954 0.457394i −0.394095 0.919070i \(-0.628942\pi\)
0.887049 + 0.461675i \(0.152752\pi\)
\(348\) 1.06690 + 0.513794i 0.0571921 + 0.0275423i
\(349\) −31.6460 4.76987i −1.69397 0.255325i −0.770071 0.637958i \(-0.779779\pi\)
−0.923900 + 0.382633i \(0.875017\pi\)
\(350\) −17.0052 29.4538i −0.908964 1.57437i
\(351\) −4.72613 + 8.18589i −0.252262 + 0.436930i
\(352\) 17.5885 22.0553i 0.937470 1.17555i
\(353\) −0.179426 + 2.39427i −0.00954988 + 0.127434i −0.999941 0.0108603i \(-0.996543\pi\)
0.990391 + 0.138295i \(0.0441620\pi\)
\(354\) 0.0448521 0.114281i 0.00238386 0.00607399i
\(355\) −0.125514 + 0.0604442i −0.00666157 + 0.00320805i
\(356\) −10.4254 + 3.21580i −0.552543 + 0.170437i
\(357\) −2.21519 5.64422i −0.117240 0.298724i
\(358\) −1.20594 1.11895i −0.0637360 0.0591384i
\(359\) 6.81331 4.64523i 0.359593 0.245166i −0.370024 0.929022i \(-0.620651\pi\)
0.729617 + 0.683856i \(0.239698\pi\)
\(360\) 0.0749233 + 0.0939509i 0.00394881 + 0.00495165i
\(361\) 3.20715 0.483400i 0.168797 0.0254421i
\(362\) −2.16128 0.666667i −0.113595 0.0350393i
\(363\) 0.0725471 + 0.968074i 0.00380773 + 0.0508107i
\(364\) 34.5085 + 23.5275i 1.80874 + 1.23318i
\(365\) −0.0433057 0.189735i −0.00226672 0.00993117i
\(366\) −0.881651 3.86276i −0.0460846 0.201910i
\(367\) 8.55721 + 5.83421i 0.446683 + 0.304543i 0.765691 0.643209i \(-0.222397\pi\)
−0.319008 + 0.947752i \(0.603350\pi\)
\(368\) −0.0519117 0.692714i −0.00270608 0.0361102i
\(369\) −5.36396 1.65456i −0.279236 0.0861330i
\(370\) −0.567697 + 0.0855666i −0.0295132 + 0.00444840i
\(371\) 11.3530 + 14.2362i 0.589418 + 0.739107i
\(372\) 1.59841 1.08978i 0.0828737 0.0565023i
\(373\) −8.47754 7.86601i −0.438950 0.407286i 0.429497 0.903068i \(-0.358691\pi\)
−0.868447 + 0.495782i \(0.834882\pi\)
\(374\) −17.5510 44.7193i −0.907543 2.31238i
\(375\) 0.0823774 0.0254101i 0.00425395 0.00131217i
\(376\) −15.8098 + 7.61361i −0.815329 + 0.392642i
\(377\) 2.37115 6.04159i 0.122120 0.311158i
\(378\) 0.981558 13.0980i 0.0504859 0.673688i
\(379\) 7.24547 9.08554i 0.372175 0.466693i −0.560110 0.828419i \(-0.689241\pi\)
0.932284 + 0.361726i \(0.117812\pi\)
\(380\) 0.142373 0.246598i 0.00730359 0.0126502i
\(381\) −1.23551 2.13996i −0.0632969 0.109633i
\(382\) 29.7983 + 4.49137i 1.52461 + 0.229799i
\(383\) 15.8309 + 7.62376i 0.808921 + 0.389556i 0.792167 0.610304i \(-0.208953\pi\)
0.0167535 + 0.999860i \(0.494667\pi\)
\(384\) 2.83363 2.62923i 0.144603 0.134172i
\(385\) 0.0684647 0.299964i 0.00348929 0.0152876i
\(386\) 32.1106 1.63439
\(387\) −0.431607 + 18.9634i −0.0219398 + 0.963966i
\(388\) 24.5414 1.24590
\(389\) −1.45910 + 6.39272i −0.0739792 + 0.324124i −0.998353 0.0573631i \(-0.981731\pi\)
0.924374 + 0.381487i \(0.124588\pi\)
\(390\) −0.0672639 + 0.0624117i −0.00340604 + 0.00316034i
\(391\) −1.83213 0.882306i −0.0926546 0.0446201i
\(392\) −4.35933 0.657063i −0.220179 0.0331867i
\(393\) 1.45216 + 2.51521i 0.0732517 + 0.126876i
\(394\) 8.25367 14.2958i 0.415814 0.720210i
\(395\) 0.0888418 0.111404i 0.00447012 0.00560535i
\(396\) 2.20211 29.3852i 0.110660 1.47666i
\(397\) −10.7843 + 27.4779i −0.541248 + 1.37908i 0.354725 + 0.934971i \(0.384575\pi\)
−0.895973 + 0.444108i \(0.853521\pi\)
\(398\) 49.1422 23.6656i 2.46328 1.18625i
\(399\) −3.88909 + 1.19963i −0.194698 + 0.0600565i
\(400\) 3.68971 + 9.40123i 0.184486 + 0.470061i
\(401\) −18.2470 16.9307i −0.911210 0.845479i 0.0772425 0.997012i \(-0.475388\pi\)
−0.988452 + 0.151533i \(0.951579\pi\)
\(402\) −0.647948 + 0.441764i −0.0323167 + 0.0220332i
\(403\) −6.61084 8.28973i −0.329309 0.412941i
\(404\) −41.2406 + 6.21602i −2.05180 + 0.309258i
\(405\) −0.202289 0.0623980i −0.0100518 0.00310058i
\(406\) 0.673971 + 8.99352i 0.0334486 + 0.446341i
\(407\) 30.9860 + 21.1259i 1.53592 + 1.04717i
\(408\) −0.680719 2.98242i −0.0337006 0.147652i
\(409\) 2.84836 + 12.4795i 0.140843 + 0.617072i 0.995240 + 0.0974519i \(0.0310692\pi\)
−0.854398 + 0.519620i \(0.826074\pi\)
\(410\) −0.0917178 0.0625322i −0.00452962 0.00308824i
\(411\) −0.430178 5.74033i −0.0212191 0.283150i
\(412\) −41.7071 12.8649i −2.05476 0.633810i
\(413\) 0.533315 0.0803843i 0.0262427 0.00395545i
\(414\) −1.34824 1.69064i −0.0662624 0.0830905i
\(415\) −0.0442289 + 0.0301548i −0.00217111 + 0.00148024i
\(416\) −27.0933 25.1389i −1.32836 1.23254i
\(417\) −1.84898 4.71112i −0.0905449 0.230705i
\(418\) −30.8134 + 9.50468i −1.50713 + 0.464889i
\(419\) −25.2233 + 12.1469i −1.23224 + 0.593415i −0.932695 0.360667i \(-0.882549\pi\)
−0.299545 + 0.954082i \(0.596835\pi\)
\(420\) 0.0268706 0.0684653i 0.00131115 0.00334076i
\(421\) 1.03389 13.7963i 0.0503885 0.672388i −0.913629 0.406549i \(-0.866732\pi\)
0.964017 0.265839i \(-0.0856490\pi\)
\(422\) −21.7596 + 27.2857i −1.05924 + 1.32825i
\(423\) 16.0751 27.8430i 0.781600 1.35377i
\(424\) 4.59341 + 7.95602i 0.223076 + 0.386379i
\(425\) 29.2342 + 4.40635i 1.41807 + 0.213739i
\(426\) 3.39776 + 1.63628i 0.164622 + 0.0792778i
\(427\) 12.7596 11.8392i 0.617481 0.572938i
\(428\) −10.0417 + 43.9955i −0.485383 + 2.12660i
\(429\) 5.99394 0.289390
\(430\) −0.118692 + 0.355834i −0.00572386 + 0.0171599i
\(431\) −32.0319 −1.54292 −0.771462 0.636276i \(-0.780474\pi\)
−0.771462 + 0.636276i \(0.780474\pi\)
\(432\) −0.867910 + 3.80256i −0.0417573 + 0.182951i
\(433\) −0.278233 + 0.258163i −0.0133710 + 0.0124065i −0.686830 0.726818i \(-0.740998\pi\)
0.673459 + 0.739225i \(0.264808\pi\)
\(434\) 13.2746 + 6.39272i 0.637202 + 0.306860i
\(435\) −0.0113016 0.00170345i −0.000541872 8.16741e-5i
\(436\) −2.80461 4.85772i −0.134316 0.232643i
\(437\) −0.682476 + 1.18208i −0.0326473 + 0.0565467i
\(438\) −3.28477 + 4.11897i −0.156953 + 0.196812i
\(439\) 0.364516 4.86413i 0.0173974 0.232152i −0.981726 0.190298i \(-0.939055\pi\)
0.999124 0.0418540i \(-0.0133264\pi\)
\(440\) 0.0567125 0.144501i 0.00270366 0.00688882i
\(441\) 7.27738 3.50460i 0.346542 0.166886i
\(442\) −60.1445 + 18.5521i −2.86078 + 0.882435i
\(443\) 2.16832 + 5.52479i 0.103020 + 0.262491i 0.973085 0.230446i \(-0.0740186\pi\)
−0.870065 + 0.492937i \(0.835923\pi\)
\(444\) 6.57171 + 6.09766i 0.311880 + 0.289382i
\(445\) 0.0870035 0.0593180i 0.00412436 0.00281194i
\(446\) −20.4595 25.6554i −0.968784 1.21482i
\(447\) 2.35203 0.354512i 0.111247 0.0167679i
\(448\) 36.9953 + 11.4115i 1.74786 + 0.539144i
\(449\) 2.44448 + 32.6193i 0.115362 + 1.53940i 0.691698 + 0.722187i \(0.256863\pi\)
−0.576336 + 0.817213i \(0.695518\pi\)
\(450\) 25.9757 + 17.7100i 1.22451 + 0.834855i
\(451\) 1.61356 + 7.06946i 0.0759795 + 0.332888i
\(452\) −7.07688 31.0059i −0.332869 1.45839i
\(453\) −2.71595 1.85170i −0.127607 0.0870007i
\(454\) 3.27567 + 43.7108i 0.153735 + 2.05145i
\(455\) −0.385201 0.118819i −0.0180585 0.00557031i
\(456\) −2.03044 + 0.306040i −0.0950842 + 0.0143316i
\(457\) 18.1197 + 22.7213i 0.847602 + 1.06286i 0.997249 + 0.0741197i \(0.0236147\pi\)
−0.149647 + 0.988739i \(0.547814\pi\)
\(458\) 24.0359 16.3874i 1.12312 0.765734i
\(459\) 8.36979 + 7.76603i 0.390668 + 0.362487i
\(460\) −0.00901178 0.0229616i −0.000420177 0.00107059i
\(461\) −13.8948 + 4.28598i −0.647146 + 0.199618i −0.600915 0.799313i \(-0.705197\pi\)
−0.0462305 + 0.998931i \(0.514721\pi\)
\(462\) −7.50426 + 3.61386i −0.349130 + 0.168132i
\(463\) −2.25869 + 5.75504i −0.104970 + 0.267459i −0.973703 0.227822i \(-0.926840\pi\)
0.868733 + 0.495281i \(0.164935\pi\)
\(464\) 0.200136 2.67062i 0.00929106 0.123981i
\(465\) −0.0116417 + 0.0145982i −0.000539870 + 0.000676975i
\(466\) −10.0665 + 17.4356i −0.466320 + 0.807689i
\(467\) 7.90363 + 13.6895i 0.365736 + 0.633474i 0.988894 0.148622i \(-0.0474838\pi\)
−0.623158 + 0.782096i \(0.714150\pi\)
\(468\) −38.1763 5.75416i −1.76470 0.265986i
\(469\) −3.10400 1.49481i −0.143329 0.0690237i
\(470\) 0.466065 0.432445i 0.0214980 0.0199472i
\(471\) −0.704320 + 3.08583i −0.0324534 + 0.142187i
\(472\) 0.272111 0.0125249
\(473\) 21.4936 11.7656i 0.988278 0.540981i
\(474\) −3.85736 −0.177174
\(475\) 4.41583 19.3470i 0.202612 0.887702i
\(476\) 36.9828 34.3150i 1.69510 1.57283i
\(477\) −15.1650 7.30309i −0.694358 0.334385i
\(478\) 41.3304 + 6.22955i 1.89041 + 0.284933i
\(479\) −19.2621 33.3629i −0.880107 1.52439i −0.851221 0.524808i \(-0.824137\pi\)
−0.0288864 0.999583i \(-0.509196\pi\)
\(480\) −0.0325429 + 0.0563660i −0.00148537 + 0.00257274i
\(481\) 30.6350 38.4150i 1.39683 1.75157i
\(482\) 0.940270 12.5470i 0.0428281 0.571501i
\(483\) −0.128806 + 0.328193i −0.00586089 + 0.0149333i
\(484\) −7.27757 + 3.50469i −0.330798 + 0.159304i
\(485\) −0.226342 + 0.0698174i −0.0102777 + 0.00317024i
\(486\) 6.69409 + 17.0563i 0.303650 + 0.773688i
\(487\) 9.12024 + 8.46235i 0.413277 + 0.383465i 0.859229 0.511592i \(-0.170944\pi\)
−0.445951 + 0.895057i \(0.647134\pi\)
\(488\) 7.25591 4.94700i 0.328460 0.223940i
\(489\) −1.38654 1.73867i −0.0627015 0.0786252i
\(490\) 0.157948 0.0238068i 0.00713537 0.00107548i
\(491\) −36.8246 11.3589i −1.66187 0.512619i −0.685381 0.728185i \(-0.740364\pi\)
−0.976489 + 0.215566i \(0.930840\pi\)
\(492\) 0.129537 + 1.72855i 0.00583996 + 0.0779289i
\(493\) −6.47754 4.41631i −0.291734 0.198901i
\(494\) 9.40102 + 41.1886i 0.422972 + 1.85316i
\(495\) 0.0632876 + 0.277281i 0.00284457 + 0.0124629i
\(496\) −3.61494 2.46463i −0.162316 0.110665i
\(497\) 1.23810 + 16.5213i 0.0555363 + 0.741081i
\(498\) 1.38473 + 0.427134i 0.0620514 + 0.0191403i
\(499\) 41.3979 6.23973i 1.85322 0.279329i 0.874578 0.484884i \(-0.161138\pi\)
0.978645 + 0.205556i \(0.0659002\pi\)
\(500\) 0.447225 + 0.560802i 0.0200005 + 0.0250798i
\(501\) −3.77926 + 2.57665i −0.168845 + 0.115116i
\(502\) −11.8254 10.9723i −0.527792 0.489720i
\(503\) −5.36535 13.6707i −0.239229 0.609546i 0.759953 0.649978i \(-0.225222\pi\)
−0.999182 + 0.0404321i \(0.987127\pi\)
\(504\) 13.6562 4.21238i 0.608296 0.187634i
\(505\) 0.362674 0.174654i 0.0161388 0.00777202i
\(506\) −1.02054 + 2.60029i −0.0453684 + 0.115597i
\(507\) 0.268553 3.58359i 0.0119269 0.159153i
\(508\) 12.8191 16.0746i 0.568754 0.713195i
\(509\) 11.0632 19.1620i 0.490368 0.849342i −0.509571 0.860429i \(-0.670196\pi\)
0.999939 + 0.0110868i \(0.00352910\pi\)
\(510\) 0.0554194 + 0.0959892i 0.00245401 + 0.00425047i
\(511\) −22.8863 3.44955i −1.01243 0.152599i
\(512\) −19.4877 9.38480i −0.861244 0.414753i
\(513\) 5.61806 5.21280i 0.248043 0.230151i
\(514\) 10.8978 47.7463i 0.480681 2.10600i
\(515\) 0.421259 0.0185629
\(516\) 5.49979 2.01533i 0.242115 0.0887200i
\(517\) −41.5315 −1.82655
\(518\) −15.1930 + 66.5650i −0.667543 + 2.92470i
\(519\) −2.76477 + 2.56533i −0.121360 + 0.112606i
\(520\) −0.183239 0.0882432i −0.00803556 0.00386972i
\(521\) 25.2437 + 3.80487i 1.10594 + 0.166694i 0.676531 0.736414i \(-0.263482\pi\)
0.429413 + 0.903108i \(0.358720\pi\)
\(522\) −4.16838 7.21985i −0.182445 0.316004i
\(523\) −14.2828 + 24.7386i −0.624544 + 1.08174i 0.364085 + 0.931366i \(0.381382\pi\)
−0.988629 + 0.150376i \(0.951952\pi\)
\(524\) −15.0670 + 18.8934i −0.658203 + 0.825360i
\(525\) 0.383053 5.11148i 0.0167178 0.223083i
\(526\) −4.31401 + 10.9919i −0.188100 + 0.479270i
\(527\) −11.5393 + 5.55706i −0.502662 + 0.242069i
\(528\) 2.36344 0.729025i 0.102856 0.0317268i
\(529\) −8.35964 21.3000i −0.363463 0.926088i
\(530\) −0.244003 0.226401i −0.0105988 0.00983425i
\(531\) −0.411926 + 0.280846i −0.0178761 + 0.0121877i
\(532\) −21.1138 26.4758i −0.915398 1.14787i
\(533\) 9.39428 1.41596i 0.406911 0.0613320i
\(534\) −2.72393 0.840223i −0.117876 0.0363600i
\(535\) −0.0325488 0.434333i −0.00140721 0.0187779i
\(536\) −1.43615 0.979154i −0.0620324 0.0422930i
\(537\) −0.0551715 0.241722i −0.00238083 0.0104311i
\(538\) 1.16381 + 5.09899i 0.0501755 + 0.219833i
\(539\) −8.62112 5.87778i −0.371338 0.253174i
\(540\) 0.0103500 + 0.138112i 0.000445395 + 0.00594338i
\(541\) −1.66509 0.513613i −0.0715879 0.0220819i 0.258754 0.965943i \(-0.416688\pi\)
−0.330342 + 0.943861i \(0.607164\pi\)
\(542\) 7.09139 1.06886i 0.304601 0.0459113i
\(543\) −0.212535 0.266510i −0.00912073 0.0114370i
\(544\) −36.8873 + 25.1494i −1.58153 + 1.07827i
\(545\) 0.0396863 + 0.0368235i 0.00169997 + 0.00157735i
\(546\) 3.98680 + 10.1582i 0.170619 + 0.434730i
\(547\) 10.3354 3.18805i 0.441909 0.136311i −0.0658126 0.997832i \(-0.520964\pi\)
0.507722 + 0.861521i \(0.330488\pi\)
\(548\) 43.1534 20.7816i 1.84342 0.887745i
\(549\) −5.87831 + 14.9777i −0.250880 + 0.639233i
\(550\) 3.03494 40.4985i 0.129410 1.72686i
\(551\) −3.28100 + 4.11424i −0.139775 + 0.175273i
\(552\) −0.0889391 + 0.154047i −0.00378550 + 0.00655668i
\(553\) −8.47299 14.6756i −0.360308 0.624072i
\(554\) 29.6934 + 4.47556i 1.26155 + 0.190148i
\(555\) −0.0779574 0.0375423i −0.00330911 0.00159358i
\(556\) 30.8688 28.6421i 1.30913 1.21469i
\(557\) −0.0339125 + 0.148580i −0.00143692 + 0.00629554i −0.975641 0.219372i \(-0.929599\pi\)
0.974204 + 0.225668i \(0.0724563\pi\)
\(558\) −13.6196 −0.576563
\(559\) −13.2674 29.2335i −0.561149 1.23645i
\(560\) −0.166338 −0.00702908
\(561\) 1.61112 7.05878i 0.0680215 0.298022i
\(562\) −28.6984 + 26.6283i −1.21057 + 1.12324i
\(563\) 21.4601 + 10.3347i 0.904437 + 0.435554i 0.827489 0.561481i \(-0.189768\pi\)
0.0769474 + 0.997035i \(0.475483\pi\)
\(564\) −9.81709 1.47969i −0.413374 0.0623061i
\(565\) 0.153478 + 0.265831i 0.00645685 + 0.0111836i
\(566\) 14.4489 25.0263i 0.607334 1.05193i
\(567\) −15.6970 + 19.6834i −0.659213 + 0.826627i
\(568\) −0.624654 + 8.33542i −0.0262099 + 0.349747i
\(569\) 11.4363 29.1391i 0.479433 1.22158i −0.462754 0.886487i \(-0.653139\pi\)
0.942187 0.335088i \(-0.108766\pi\)
\(570\) 0.0670306 0.0322802i 0.00280760 0.00135207i
\(571\) −4.21255 + 1.29940i −0.176290 + 0.0543782i −0.381643 0.924310i \(-0.624642\pi\)
0.205354 + 0.978688i \(0.434166\pi\)
\(572\) 18.2206 + 46.4254i 0.761842 + 1.94114i
\(573\) 3.32933 + 3.08917i 0.139085 + 0.129052i
\(574\) −10.9077 + 7.43673i −0.455278 + 0.310403i
\(575\) −1.07183 1.34403i −0.0446983 0.0560499i
\(576\) −35.3880 + 5.33389i −1.47450 + 0.222245i
\(577\) 24.4740 + 7.54924i 1.01887 + 0.314279i 0.758809 0.651314i \(-0.225782\pi\)
0.260059 + 0.965593i \(0.416258\pi\)
\(578\) 2.91976 + 38.9615i 0.121446 + 1.62059i
\(579\) 3.99858 + 2.72619i 0.166175 + 0.113297i
\(580\) −0.0211613 0.0927137i −0.000878675 0.00384973i
\(581\) 1.41661 + 6.20657i 0.0587709 + 0.257492i
\(582\) 5.29797 + 3.61209i 0.219608 + 0.149726i
\(583\) 1.62488 + 21.6825i 0.0672956 + 0.897997i
\(584\) −11.1584 3.44190i −0.461736 0.142427i
\(585\) 0.368466 0.0555373i 0.0152342 0.00229619i
\(586\) −5.03783 6.31724i −0.208111 0.260963i
\(587\) 21.8609 14.9045i 0.902298 0.615176i −0.0207824 0.999784i \(-0.506616\pi\)
0.923080 + 0.384608i \(0.125663\pi\)
\(588\) −1.82842 1.69653i −0.0754028 0.0699636i
\(589\) 3.14081 + 8.00265i 0.129415 + 0.329744i
\(590\) −0.00942115 + 0.00290604i −0.000387863 + 0.000119640i
\(591\) 2.24150 1.07945i 0.0922031 0.0444027i
\(592\) 7.40722 18.8733i 0.304435 0.775687i
\(593\) −2.82909 + 37.7516i −0.116177 + 1.55027i 0.569272 + 0.822149i \(0.307225\pi\)
−0.685448 + 0.728121i \(0.740394\pi\)
\(594\) 9.77899 12.2625i 0.401237 0.503135i
\(595\) −0.243466 + 0.421696i −0.00998114 + 0.0172878i
\(596\) 9.89563 + 17.1397i 0.405341 + 0.702071i
\(597\) 8.12867 + 1.22520i 0.332684 + 0.0501441i
\(598\) 3.29737 + 1.58793i 0.134840 + 0.0649353i
\(599\) 5.30017 4.91784i 0.216559 0.200938i −0.564432 0.825480i \(-0.690905\pi\)
0.780991 + 0.624542i \(0.214714\pi\)
\(600\) 0.575464 2.52127i 0.0234932 0.102930i
\(601\) 1.42190 0.0580006 0.0290003 0.999579i \(-0.490768\pi\)
0.0290003 + 0.999579i \(0.490768\pi\)
\(602\) 34.2358 + 28.6005i 1.39535 + 1.16567i
\(603\) 3.18466 0.129689
\(604\) 6.08610 26.6650i 0.247640 1.08498i
\(605\) 0.0571498 0.0530272i 0.00232347 0.00215586i
\(606\) −9.81788 4.72804i −0.398824 0.192064i
\(607\) −11.6641 1.75808i −0.473432 0.0713583i −0.0920071 0.995758i \(-0.529328\pi\)
−0.381424 + 0.924400i \(0.624566\pi\)
\(608\) 14.9835 + 25.9522i 0.607661 + 1.05250i
\(609\) −0.679623 + 1.17714i −0.0275397 + 0.0477002i
\(610\) −0.198386 + 0.248768i −0.00803241 + 0.0100723i
\(611\) −4.06631 + 54.2611i −0.164505 + 2.19517i
\(612\) −17.0379 + 43.4118i −0.688715 + 1.75482i
\(613\) 21.6428 10.4226i 0.874145 0.420966i 0.0576626 0.998336i \(-0.481635\pi\)
0.816483 + 0.577370i \(0.195921\pi\)
\(614\) 20.2642 6.25067i 0.817795 0.252256i
\(615\) −0.00611222 0.0155737i −0.000246469 0.000627992i
\(616\) −13.5330 12.5568i −0.545259 0.505927i
\(617\) 1.32647 0.904369i 0.0534015 0.0364085i −0.536325 0.844011i \(-0.680188\pi\)
0.589727 + 0.807603i \(0.299236\pi\)
\(618\) −7.11018 8.91589i −0.286013 0.358649i
\(619\) −48.0499 + 7.24235i −1.93129 + 0.291095i −0.997731 0.0673331i \(-0.978551\pi\)
−0.933557 + 0.358428i \(0.883313\pi\)
\(620\) −0.148457 0.0457931i −0.00596219 0.00183909i
\(621\) −0.0496137 0.662048i −0.00199093 0.0265671i
\(622\) −7.07741 4.82530i −0.283778 0.193477i
\(623\) −2.78664 12.2091i −0.111644 0.489146i
\(624\) −0.721074 3.15923i −0.0288661 0.126470i
\(625\) 20.6474 + 14.0772i 0.825896 + 0.563086i
\(626\) −3.71898 49.6263i −0.148640 1.98347i
\(627\) −4.64400 1.43249i −0.185464 0.0572080i
\(628\) −26.0419 + 3.92519i −1.03919 + 0.156632i
\(629\) −37.0051 46.4030i −1.47549 1.85021i
\(630\) −0.427825 + 0.291686i −0.0170450 + 0.0116211i
\(631\) 14.5938 + 13.5411i 0.580971 + 0.539062i 0.914975 0.403509i \(-0.132210\pi\)
−0.334005 + 0.942571i \(0.608400\pi\)
\(632\) −3.12355 7.95868i −0.124248 0.316579i
\(633\) −5.02619 + 1.55037i −0.199773 + 0.0616218i
\(634\) −20.1773 + 9.71685i −0.801341 + 0.385905i
\(635\) −0.0724985 + 0.184723i −0.00287701 + 0.00733051i
\(636\) −0.388422 + 5.18314i −0.0154020 + 0.205525i
\(637\) −8.52344 + 10.6881i −0.337711 + 0.423476i
\(638\) −5.38468 + 9.32653i −0.213181 + 0.369241i
\(639\) −7.65740 13.2630i −0.302922 0.524677i
\(640\) −0.306963 0.0462673i −0.0121338 0.00182887i
\(641\) −19.5056 9.39338i −0.770423 0.371016i 0.00701500 0.999975i \(-0.497767\pi\)
−0.777438 + 0.628959i \(0.783481\pi\)
\(642\) −8.64322 + 8.01974i −0.341121 + 0.316514i
\(643\) −0.473254 + 2.07346i −0.0186633 + 0.0817694i −0.983402 0.181440i \(-0.941924\pi\)
0.964739 + 0.263210i \(0.0847812\pi\)
\(644\) −2.93353 −0.115597
\(645\) −0.0449906 + 0.0342334i −0.00177150 + 0.00134794i
\(646\) 51.0327 2.00785
\(647\) 0.593026 2.59822i 0.0233143 0.102146i −0.961932 0.273289i \(-0.911889\pi\)
0.985246 + 0.171142i \(0.0547457\pi\)
\(648\) −9.31122 + 8.63955i −0.365779 + 0.339393i
\(649\) 0.580250 + 0.279434i 0.0227768 + 0.0109687i
\(650\) −52.6144 7.93034i −2.06371 0.311054i
\(651\) 1.11029 + 1.92307i 0.0435155 + 0.0753711i
\(652\) 9.25177 16.0245i 0.362327 0.627569i
\(653\) 8.03489 10.0754i 0.314429 0.394282i −0.599354 0.800484i \(-0.704576\pi\)
0.913783 + 0.406202i \(0.133147\pi\)
\(654\) 0.109522 1.46147i 0.00428266 0.0571482i
\(655\) 0.0852115 0.217115i 0.00332949 0.00848340i
\(656\) 3.53199 1.70092i 0.137901 0.0664097i
\(657\) 20.4441 6.30617i 0.797601 0.246027i
\(658\) −27.6241 70.3852i −1.07690 2.74390i
\(659\) 28.5593 + 26.4992i 1.11251 + 1.03226i 0.999251 + 0.0386951i \(0.0123201\pi\)
0.113261 + 0.993565i \(0.463870\pi\)
\(660\) 0.0725653 0.0494742i 0.00282460 0.00192578i
\(661\) 24.8200 + 31.1233i 0.965387 + 1.21056i 0.977566 + 0.210631i \(0.0675519\pi\)
−0.0121787 + 0.999926i \(0.503877\pi\)
\(662\) 25.6096 3.86002i 0.995344 0.150024i
\(663\) −9.06460 2.79606i −0.352040 0.108590i
\(664\) 0.240026 + 3.20293i 0.00931483 + 0.124298i
\(665\) 0.270051 + 0.184118i 0.0104721 + 0.00713977i
\(666\) −14.0442 61.5315i −0.544200 2.38430i
\(667\) 0.101438 + 0.444430i 0.00392770 + 0.0172084i
\(668\) −31.4455 21.4392i −1.21666 0.829507i
\(669\) −0.369584 4.93175i −0.0142889 0.190673i
\(670\) 0.0601803 + 0.0185631i 0.00232497 + 0.000717157i
\(671\) 20.5527 3.09782i 0.793428 0.119590i
\(672\) 4.82608 + 6.05171i 0.186170 + 0.233450i
\(673\) −30.9218 + 21.0822i −1.19195 + 0.812657i −0.986137 0.165934i \(-0.946936\pi\)
−0.205813 + 0.978591i \(0.565984\pi\)
\(674\) 5.22696 + 4.84991i 0.201335 + 0.186811i
\(675\) 3.52637 + 8.98505i 0.135730 + 0.345835i
\(676\) 28.5726 8.81349i 1.09895 0.338980i
\(677\) 4.02286 1.93731i 0.154611 0.0744567i −0.354978 0.934875i \(-0.615512\pi\)
0.509589 + 0.860418i \(0.329797\pi\)
\(678\) 3.03581 7.73512i 0.116590 0.297066i
\(679\) −2.10512 + 28.0908i −0.0807870 + 1.07803i
\(680\) −0.153173 + 0.192073i −0.00587391 + 0.00736565i
\(681\) −3.30314 + 5.72121i −0.126577 + 0.219237i
\(682\) 8.79683 + 15.2366i 0.336848 + 0.583438i
\(683\) −37.5870 5.66533i −1.43823 0.216778i −0.616812 0.787110i \(-0.711576\pi\)
−0.821414 + 0.570333i \(0.806814\pi\)
\(684\) 28.2032 + 13.5819i 1.07838 + 0.519318i
\(685\) −0.338878 + 0.314433i −0.0129479 + 0.0120139i
\(686\) −6.36958 + 27.9070i −0.243192 + 1.06549i
\(687\) 4.38437 0.167274
\(688\) −8.78697 9.91326i −0.335000 0.377939i
\(689\) 28.4874 1.08528
\(690\) 0.00143413 0.00628333i 5.45964e−5 0.000239202i
\(691\) 4.15300 3.85342i 0.157988 0.146591i −0.597218 0.802079i \(-0.703727\pi\)
0.755206 + 0.655488i \(0.227537\pi\)
\(692\) −28.2739 13.6160i −1.07481 0.517602i
\(693\) 33.4463 + 5.04122i 1.27052 + 0.191500i
\(694\) 13.6164 + 23.5844i 0.516873 + 0.895250i
\(695\) −0.203216 + 0.351981i −0.00770844 + 0.0133514i
\(696\) −0.427574 + 0.536161i −0.0162072 + 0.0203231i
\(697\) 0.857594 11.4438i 0.0324837 0.433464i
\(698\) 25.4186 64.7656i 0.962110 2.45142i
\(699\) −2.73381 + 1.31654i −0.103402 + 0.0497959i
\(700\) 40.7548 12.5712i 1.54039 0.475146i
\(701\) −9.33779 23.7923i −0.352683 0.898623i −0.991600 0.129346i \(-0.958712\pi\)
0.638916 0.769276i \(-0.279383\pi\)
\(702\) −15.0635 13.9769i −0.568537 0.527525i
\(703\) −32.9162 + 22.4419i −1.24146 + 0.846412i
\(704\) 28.8241 + 36.1443i 1.08635 + 1.36224i
\(705\) 0.0947515 0.0142815i 0.00356855 0.000537872i
\(706\) −4.98782 1.53854i −0.187719 0.0579036i
\(707\) −3.57750 47.7385i −0.134546 1.79539i
\(708\) 0.127202 + 0.0867250i 0.00478055 + 0.00325933i
\(709\) 7.82205 + 34.2706i 0.293763 + 1.28706i 0.879243 + 0.476373i \(0.158049\pi\)
−0.585480 + 0.810687i \(0.699094\pi\)
\(710\) −0.0673921 0.295264i −0.00252918 0.0110811i
\(711\) 12.9427 + 8.82416i 0.485388 + 0.330932i
\(712\) −0.472160 6.30054i −0.0176949 0.236123i
\(713\) 0.711641 + 0.219512i 0.0266512 + 0.00822080i
\(714\) 13.0344 1.96462i 0.487801 0.0735242i
\(715\) −0.300122 0.376341i −0.0112239 0.0140743i
\(716\) 1.70452 1.16212i 0.0637008 0.0434305i
\(717\) 4.61779 + 4.28469i 0.172455 + 0.160015i
\(718\) 6.54950 + 16.6878i 0.244425 + 0.622785i
\(719\) 4.82456 1.48818i 0.179926 0.0554998i −0.203483 0.979078i \(-0.565226\pi\)
0.383409 + 0.923579i \(0.374750\pi\)
\(720\) 0.138533 0.0667141i 0.00516283 0.00248629i
\(721\) 18.3032 46.6357i 0.681646 1.73681i
\(722\) −0.526927 + 7.03135i −0.0196102 + 0.261680i
\(723\) 1.18233 1.48259i 0.0439713 0.0551383i
\(724\) 1.41815 2.45631i 0.0527051 0.0912880i
\(725\) −3.31379 5.73965i −0.123071 0.213165i
\(726\) −2.08691 0.314551i −0.0774525 0.0116741i
\(727\) 14.8389 + 7.14602i 0.550343 + 0.265031i 0.688324 0.725404i \(-0.258347\pi\)
−0.137981 + 0.990435i \(0.544061\pi\)
\(728\) −17.7305 + 16.4515i −0.657136 + 0.609733i
\(729\) 4.75628 20.8386i 0.176158 0.771800i
\(730\) 0.423089 0.0156592
\(731\) −37.9931 + 7.76660i −1.40522 + 0.287258i
\(732\) 4.96856 0.183643
\(733\) −2.52808 + 11.0763i −0.0933769 + 0.409111i −0.999915 0.0130123i \(-0.995858\pi\)
0.906538 + 0.422123i \(0.138715\pi\)
\(734\) −16.5051 + 15.3145i −0.609215 + 0.565269i
\(735\) 0.0216898 + 0.0104452i 0.000800039 + 0.000385278i
\(736\) 2.56696 + 0.386907i 0.0946195 + 0.0142616i
\(737\) −2.05696 3.56276i −0.0757691 0.131236i
\(738\) 6.10167 10.5684i 0.224605 0.389028i
\(739\) −18.4052 + 23.0794i −0.677047 + 0.848990i −0.995078 0.0990901i \(-0.968407\pi\)
0.318032 + 0.948080i \(0.396978\pi\)
\(740\) 0.0538015 0.717932i 0.00197778 0.0263917i
\(741\) −2.32624 + 5.92717i −0.0854566 + 0.217740i
\(742\) −35.6655 + 17.1756i −1.30932 + 0.630536i
\(743\) −16.0390 + 4.94738i −0.588414 + 0.181502i −0.574644 0.818403i \(-0.694860\pi\)
−0.0137702 + 0.999905i \(0.504383\pi\)
\(744\) 0.409305 + 1.04289i 0.0150059 + 0.0382343i
\(745\) −0.140027 0.129926i −0.00513019 0.00476012i
\(746\) 20.7729 14.1627i 0.760551 0.518535i
\(747\) −3.66911 4.60092i −0.134246 0.168339i
\(748\) 59.5705 8.97880i 2.17811 0.328298i
\(749\) −49.4973 15.2679i −1.80859 0.557877i
\(750\) 0.0140055 + 0.186890i 0.000511407 + 0.00682425i
\(751\) −44.5875 30.3993i −1.62702 1.10928i −0.912007 0.410175i \(-0.865468\pi\)
−0.715015 0.699110i \(-0.753580\pi\)
\(752\) 4.99625 + 21.8900i 0.182195 + 0.798247i
\(753\) −0.541008 2.37031i −0.0197154 0.0863789i
\(754\) 11.6580 + 7.94827i 0.424558 + 0.289459i
\(755\) 0.0197273 + 0.263242i 0.000717950 + 0.00958037i
\(756\) 15.7394 + 4.85497i 0.572437 + 0.176573i
\(757\) −19.4613 + 2.93332i −0.707332 + 0.106613i −0.492850 0.870115i \(-0.664045\pi\)
−0.214483 + 0.976728i \(0.568807\pi\)
\(758\) 15.7516 + 19.7518i 0.572123 + 0.717419i
\(759\) −0.347847 + 0.237158i −0.0126261 + 0.00860830i
\(760\) 0.120881 + 0.112161i 0.00438482 + 0.00406852i
\(761\) 13.7137 + 34.9420i 0.497122 + 1.26665i 0.930784 + 0.365571i \(0.119126\pi\)
−0.433662 + 0.901076i \(0.642779\pi\)
\(762\) 5.13329 1.58341i 0.185959 0.0573609i
\(763\) 5.80088 2.79356i 0.210006 0.101134i
\(764\) −13.8061 + 35.1775i −0.499489 + 1.27268i
\(765\) 0.0336369 0.448853i 0.00121614 0.0162283i
\(766\) −23.8167 + 29.8652i −0.860533 + 1.07907i
\(767\) 0.421894 0.730742i 0.0152337 0.0263856i
\(768\) 0.148133 + 0.256574i 0.00534529 + 0.00925831i
\(769\) 30.4201 + 4.58509i 1.09698 + 0.165342i 0.672500 0.740097i \(-0.265220\pi\)
0.424475 + 0.905439i \(0.360459\pi\)
\(770\) 0.602647 + 0.290220i 0.0217179 + 0.0104588i
\(771\)