Properties

Label 43.2.g.a.10.1
Level $43$
Weight $2$
Character 43.10
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 10.1
Character \(\chi\) \(=\) 43.10
Dual form 43.2.g.a.13.1

$q$-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 \(\left(\mathbb{Z}/43\mathbb{Z}\right)^\times\).

\(n\) \(3\)
\(\chi(n)\) \(e\left(\frac{5}{21}\right)\)

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 −0.794700 0.607002i \(-0.792372\pi\)
0.452632 0.891698i \(-0.350485\pi\)
\(3\) −0.240184 0.222858i −0.138670 0.128667i 0.607788 0.794099i \(-0.292057\pi\)
−0.746459 + 0.665432i \(0.768247\pi\)
\(4\) −2.45624 + 1.18286i −1.22812 + 0.591432i
\(5\) 0.0260188 0.00392170i 0.0116360 0.00175384i −0.143222 0.989691i \(-0.545746\pi\)
0.154858 + 0.987937i \(0.450508\pi\)
\(6\) −0.356153 + 0.616875i −0.145399 + 0.251838i
\(7\) 1.56464 + 2.71003i 0.591377 + 1.02430i 0.994047 + 0.108950i \(0.0347489\pi\)
−0.402670 + 0.915345i \(0.631918\pi\)
\(8\) 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 0.866030 0.499992i \(-0.166664\pi\)
0.149052 + 0.988829i \(0.452378\pi\)
\(12\) 0.853562 + 0.263289i 0.246402 + 0.0760050i
\(13\) −1.78860 + 4.55728i −0.496069 + 1.26396i 0.435431 + 0.900222i \(0.356596\pi\)
−0.931500 + 0.363741i \(0.881499\pi\)
\(14\) 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 −0.605261 0.796027i \(-0.706931\pi\)
−0.813004 + 0.582258i \(0.802169\pi\)
\(18\) −6.00919 + 1.85359i −1.41638 + 0.436896i
\(19\) 0.296638 3.95836i 0.0680535 0.908110i −0.853807 0.520589i \(-0.825712\pi\)
0.921861 0.387521i \(-0.126669\pi\)
\(20\) −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 −0.533337 0.845903i \(-0.679062\pi\)
0.592579 + 0.805512i \(0.298110\pi\)
\(24\) 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 −0.584771 0.811199i \(-0.698815\pi\)
0.765230 + 0.643756i \(0.222625\pi\)
\(30\) −0.00684747 + 0.0174471i −0.00125017 + 0.00318538i
\(31\) 2.06955 + 0.638371i 0.371702 + 0.114655i 0.474977 0.879998i \(-0.342456\pi\)
−0.103276 + 0.994653i \(0.532932\pi\)
\(32\) 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 −0.0769599 0.997034i \(-0.524521\pi\)
0.901937 0.431868i \(-0.142145\pi\)
\(38\) −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 0.929951 0.367684i \(-0.119849\pi\)
−0.997389 + 0.0722186i \(0.976992\pi\)
\(42\) −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 −0.984410 0.175888i \(-0.943720\pi\)
−0.476255 + 0.879307i \(0.658006\pi\)
\(48\) 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 −0.999311 0.0371173i \(-0.988182\pi\)
0.707301 0.706913i \(-0.249913\pi\)
\(54\) 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 −0.774787 0.632222i \(-0.782143\pi\)
0.788777 + 0.614679i \(0.210714\pi\)
\(60\) 0.0232412 + 0.00350304i 0.00300042 + 0.000452241i
\(61\) 5.31524 1.63953i 0.680547 0.209921i 0.0648393 0.997896i \(-0.479347\pi\)
0.615707 + 0.787975i \(0.288870\pi\)
\(62\) 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 −0.999972 0.00749766i \(-0.997613\pi\)
0.989921 + 0.141624i \(0.0452324\pi\)
\(68\) 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 0.275223 0.961380i \(-0.411248\pi\)
−0.794373 + 0.607430i \(0.792201\pi\)
\(72\) 3.34778 3.10629i 0.394540 0.366080i
\(73\) −2.70214 + 6.88494i −0.316261 + 0.805821i 0.681029 + 0.732256i \(0.261533\pi\)
−0.997290 + 0.0735646i \(0.976562\pi\)
\(74\) −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 0.977180 0.212413i \(-0.0681323\pi\)
−0.672545 + 0.740056i \(0.734799\pi\)
\(80\) −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 0.594073 0.804411i \(-0.297519\pi\)
−0.757767 + 0.652526i \(0.773709\pi\)
\(84\) 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 0.820178 0.572109i \(-0.193874\pi\)
−0.509217 + 0.860638i \(0.670065\pi\)
\(90\) −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 −0.0258237 0.999667i \(-0.508221\pi\)
−0.797672 + 0.603092i \(0.793935\pi\)
\(98\) 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 0.994242 0.107161i \(-0.0341759\pi\)
0.263484 + 0.964664i \(0.415128\pi\)
\(102\) 2.62637 3.29336i 0.260049 0.326092i
\(103\) 15.8309 + 2.38613i 1.55987 + 0.235112i 0.871554 0.490300i \(-0.163113\pi\)
0.688315 + 0.725412i \(0.258351\pi\)
\(104\) −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 0.406765 + 0.913533i \(0.366657\pi\)
−0.762850 + 0.646576i \(0.776200\pi\)
\(108\) 1.17126 5.13161i 0.112704 0.493790i
\(109\) 1.69999 1.15903i 0.162829 0.111015i −0.479164 0.877725i \(-0.659060\pi\)
0.641993 + 0.766710i \(0.278108\pi\)
\(110\) 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 −0.311509 0.950243i \(-0.600835\pi\)
0.995736 + 0.0922502i \(0.0294060\pi\)
\(114\) 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 −0.993188 0.116522i \(-0.962825\pi\)
0.844275 0.535911i \(-0.180032\pi\)
\(128\) −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 0.985034 + 0.172361i \(0.0551395\pi\)
−0.812700 + 0.582682i \(0.802003\pi\)
\(132\) 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 −0.984617 0.174725i \(-0.944096\pi\)
0.0487538 0.998811i \(-0.484475\pi\)
\(138\) 0.0183041 + 0.244251i 0.00155815 + 0.0207920i
\(139\) −5.64316 14.3785i −0.478646 1.21957i −0.942663 0.333745i \(-0.891688\pi\)
0.464017 0.885826i \(-0.346408\pi\)
\(140\) −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 −0.783532 0.621352i \(-0.786584\pi\)
0.292144 + 0.956374i \(0.405631\pi\)
\(150\) 0.792405 3.47176i 0.0646996 0.283468i
\(151\) 2.23243 9.78091i 0.181673 0.795960i −0.799162 0.601116i \(-0.794723\pi\)
0.980834 0.194844i \(-0.0624199\pi\)
\(152\) 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 0.838287 0.545229i \(-0.183557\pi\)
−0.201279 + 0.979534i \(0.564510\pi\)
\(158\) 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 −0.981194 0.193024i \(-0.938170\pi\)
0.941466 0.337107i \(-0.109449\pi\)
\(164\) 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 0.408672 0.912681i \(-0.365992\pi\)
0.659534 + 0.751675i \(0.270754\pi\)
\(168\) 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 0.851539 0.524291i \(-0.175670\pi\)
−0.879819 + 0.475309i \(0.842336\pi\)
\(180\) 0.129375 + 0.162231i 0.00964306 + 0.0120920i
\(181\) −0.0777475 1.03747i −0.00577892 0.0771144i 0.993569 0.113231i \(-0.0361201\pi\)
−0.999348 + 0.0361170i \(0.988501\pi\)
\(182\) 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 0.825265 + 0.564745i \(0.191026\pi\)
−0.900219 + 0.435438i \(0.856593\pi\)
\(192\) −3.34930 + 2.28352i −0.241715 + 0.164799i
\(193\) −3.28671 + 14.4000i −0.236583 + 1.03654i 0.707470 + 0.706743i \(0.249836\pi\)
−0.944053 + 0.329794i \(0.893021\pi\)
\(194\) −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 −0.542243 0.840221i \(-0.682425\pi\)
0.0252911 + 0.999680i \(0.491949\pi\)
\(198\) −23.2360 3.50227i −1.65131 0.248895i
\(199\) −15.6429 + 19.6156i −1.10890 + 1.39051i −0.196844 + 0.980435i \(0.563069\pi\)
−0.912051 + 0.410076i \(0.865502\pi\)
\(200\) −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 0.136231 0.990677i \(-0.456501\pi\)
0.859481 + 0.511167i \(0.170787\pi\)
\(212\) 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 0.359532 0.933133i \(-0.382937\pi\)
−0.989741 + 0.142876i \(0.954365\pi\)
\(224\) 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 0.858442 0.512910i \(-0.171433\pi\)
0.420346 + 0.907364i \(0.361909\pi\)
\(228\) 1.29539 3.30060i 0.0857894 0.218588i
\(229\) −9.80918 + 9.10159i −0.648209 + 0.601450i −0.934186 0.356786i \(-0.883872\pi\)
0.285977 + 0.958236i \(0.407682\pi\)
\(230\) −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 0.00900522 0.999959i \(-0.497134\pi\)
0.570738 + 0.821132i \(0.306657\pi\)
\(234\) 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 0.734506 + 0.678602i \(0.237414\pi\)
−0.827442 + 0.561550i \(0.810205\pi\)
\(240\) 0.0166426 0.00513358i 0.00107428 0.000331371i
\(241\) −5.72297 0.862599i −0.368649 0.0555649i −0.0378946 0.999282i \(-0.512065\pi\)
−0.330755 + 0.943717i \(0.607303\pi\)
\(242\) 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 0.724852 0.688905i \(-0.241908\pi\)
−0.959035 + 0.283287i \(0.908575\pi\)
\(252\) −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 0.0186545 0.999826i \(-0.494062\pi\)
0.312530 + 0.949908i \(0.398824\pi\)
\(264\) 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 0.498793 0.866721i \(-0.333777\pi\)
−0.366637 + 0.930364i \(0.619491\pi\)
\(270\) 0.105537 + 0.0325539i 0.00642279 + 0.00198117i
\(271\) −1.20518 + 3.07074i −0.0732093 + 0.186534i −0.962794 0.270236i \(-0.912898\pi\)
0.889585 + 0.456770i \(0.150994\pi\)
\(272\) 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 0.876283 + 0.481797i \(0.160016\pi\)
−0.938304 + 0.345812i \(0.887603\pi\)
\(278\) −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 −0.0313571 0.999508i \(-0.509983\pi\)
0.918960 + 0.394351i \(0.129031\pi\)
\(282\) 0.591632 7.89479i 0.0352312 0.470128i
\(283\) −12.7020 + 3.91805i −0.755057 + 0.232904i −0.648304 0.761382i \(-0.724521\pi\)
−0.106752 + 0.994286i \(0.534045\pi\)
\(284\) 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 0.709521 0.704685i \(-0.248912\pi\)
−0.844900 + 0.534924i \(0.820340\pi\)
\(294\) −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 −0.970978 0.239170i \(-0.923125\pi\)
0.692617 + 0.721306i \(0.256458\pi\)
\(308\) −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 0.884234 0.467044i \(-0.154681\pi\)
−0.965860 + 0.259064i \(0.916586\pi\)
\(312\) 2.28172 + 1.09882i 0.129177 + 0.0622083i
\(313\) −21.8743 6.74733i −1.23641 0.381382i −0.393444 0.919349i \(-0.628716\pi\)
−0.842966 + 0.537967i \(0.819193\pi\)
\(314\) 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 −0.568031 0.823007i \(-0.692295\pi\)
0.928771 + 0.370653i \(0.120866\pi\)
\(318\) 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 −0.999182 0.0404371i \(-0.987125\pi\)
0.759956 + 0.649974i \(0.225220\pi\)
\(332\) 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 0.907229 0.420636i \(-0.138193\pi\)
−0.817896 + 0.575366i \(0.804860\pi\)
\(338\) −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 0.887049 0.461675i \(-0.152752\pi\)
−0.394095 + 0.919070i \(0.628942\pi\)
\(348\) 1.06690 0.513794i 0.0571921 0.0275423i
\(349\) −31.6460 + 4.76987i −1.69397 + 0.255325i −0.923900 0.382633i \(-0.875017\pi\)
−0.770071 + 0.637958i \(0.779779\pi\)
\(350\) −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 0.990391 0.138295i \(-0.0441620\pi\)
−0.999941 + 0.0108603i \(0.996543\pi\)
\(354\) 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 0.729617 0.683856i \(-0.239698\pi\)
−0.370024 + 0.929022i \(0.620651\pi\)
\(360\) 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 −0.319008 0.947752i \(-0.603350\pi\)
0.765691 + 0.643209i \(0.222397\pi\)
\(368\) −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 −0.868447 0.495782i \(-0.834882\pi\)
0.429497 + 0.903068i \(0.358691\pi\)
\(374\) −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 0.932284 0.361726i \(-0.117812\pi\)
−0.560110 + 0.828419i \(0.689241\pi\)
\(380\) 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 0.0167535 0.999860i \(-0.494667\pi\)
0.792167 + 0.610304i \(0.208953\pi\)
\(384\) 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 0.924374 0.381487i \(-0.124588\pi\)
−0.998353 + 0.0573631i \(0.981731\pi\)
\(390\) −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 −0.895973 0.444108i \(-0.853521\pi\)
0.354725 0.934971i \(-0.384575\pi\)
\(398\) 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 −0.988452 0.151533i \(-0.951579\pi\)
0.0772425 + 0.997012i \(0.475388\pi\)
\(402\) −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 −0.854398 0.519620i \(-0.826074\pi\)
0.995240 0.0974519i \(-0.0310692\pi\)
\(410\) −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 −0.299545 0.954082i \(-0.596835\pi\)
−0.932695 + 0.360667i \(0.882549\pi\)
\(420\) 0.0268706 + 0.0684653i 0.00131115 + 0.00334076i
\(421\) 1.03389 + 13.7963i 0.0503885 + 0.672388i 0.964017 + 0.265839i \(0.0856490\pi\)
−0.913629 + 0.406549i \(0.866732\pi\)
\(422\) −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 0.673459 0.739225i \(-0.264808\pi\)
−0.686830 + 0.726818i \(0.740998\pi\)
\(434\) 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 0.999124 + 0.0418540i \(0.0133264\pi\)
−0.981726 + 0.190298i \(0.939055\pi\)
\(440\) 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 −0.870065 0.492937i \(-0.835923\pi\)
0.973085 + 0.230446i \(0.0740186\pi\)
\(444\) 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 −0.576336 0.817213i \(-0.695518\pi\)
0.691698 0.722187i \(-0.256863\pi\)
\(450\) 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 −0.149647 0.988739i \(-0.547814\pi\)
0.997249 0.0741197i \(-0.0236147\pi\)
\(458\) 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 −0.0462305 0.998931i \(-0.514721\pi\)
−0.600915 + 0.799313i \(0.705197\pi\)
\(462\) −7.50426 3.61386i −0.349130 0.168132i
\(463\) −2.25869 5.75504i −0.104970 0.267459i 0.868733 0.495281i \(-0.164935\pi\)
−0.973703 + 0.227822i \(0.926840\pi\)
\(464\) 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 −0.623158 0.782096i \(-0.714150\pi\)
0.988894 + 0.148622i \(0.0474838\pi\)
\(468\) −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 −0.0288864 + 0.999583i \(0.509196\pi\)
−0.851221 + 0.524808i \(0.824137\pi\)
\(480\) −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 −0.445951 0.895057i \(-0.647134\pi\)
0.859229 + 0.511592i \(0.170944\pi\)
\(488\) 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 −0.976489 0.215566i \(-0.930840\pi\)
−0.685381 + 0.728185i \(0.740364\pi\)
\(492\) 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 0.978645 0.205556i \(-0.0659002\pi\)
0.874578 + 0.484884i \(0.161138\pi\)
\(500\) 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 −0.999182 0.0404321i \(-0.987127\pi\)
0.759953 + 0.649978i \(0.225222\pi\)
\(504\) 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 0.999939 0.0110868i \(-0.00352910\pi\)
−0.509571 + 0.860429i \(0.670196\pi\)
\(510\) 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 0.429413 0.903108i \(-0.358720\pi\)
0.676531 + 0.736414i \(0.263482\pi\)
\(522\) −4.16838 + 7.21985i −0.182445 + 0.316004i
\(523\) −14.2828 24.7386i −0.624544 1.08174i −0.988629 0.150376i \(-0.951952\pi\)
0.364085 0.931366i \(-0.381382\pi\)
\(524\) −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 −0.330342 0.943861i \(-0.607164\pi\)
0.258754 + 0.965943i \(0.416688\pi\)
\(542\) 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 0.507722 0.861521i \(-0.330488\pi\)
−0.0658126 + 0.997832i \(0.520964\pi\)
\(548\) 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 0.974204 0.225668i \(-0.0724563\pi\)
−0.975641 + 0.219372i \(0.929599\pi\)
\(558\) −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 0.0769474 0.997035i \(-0.475483\pi\)
0.827489 + 0.561481i \(0.189768\pi\)
\(564\) −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 0.942187 + 0.335088i \(0.108766\pi\)
−0.462754 + 0.886487i \(0.653139\pi\)
\(570\) 0.0670306 + 0.0322802i 0.00280760 + 0.00135207i
\(571\) −4.21255 1.29940i −0.176290 0.0543782i 0.205354 0.978688i \(-0.434166\pi\)
−0.381643 + 0.924310i \(0.624642\pi\)
\(572\) 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 0.260059 0.965593i \(-0.416258\pi\)
0.758809 + 0.651314i \(0.225782\pi\)
\(578\) 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 0.923080 0.384608i \(-0.125663\pi\)
−0.0207824 + 0.999784i \(0.506616\pi\)
\(588\) −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 −0.685448 0.728121i \(-0.740394\pi\)
0.569272 0.822149i \(-0.307225\pi\)
\(594\) 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 0.780991 0.624542i \(-0.214714\pi\)
−0.564432 + 0.825480i \(0.690905\pi\)
\(600\) 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 −0.381424 0.924400i \(-0.624566\pi\)
−0.0920071 + 0.995758i \(0.529328\pi\)
\(608\) 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 0.816483 0.577370i \(-0.195921\pi\)
0.0576626 + 0.998336i \(0.481635\pi\)
\(614\) 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 0.589727 0.807603i \(-0.299236\pi\)
−0.536325 + 0.844011i \(0.680188\pi\)
\(618\) −7.11018 + 8.91589i −0.286013 + 0.358649i
\(619\) −48.0499 7.24235i −1.93129 0.291095i −0.933557 0.358428i \(-0.883313\pi\)
−0.997731 + 0.0673331i \(0.978551\pi\)
\(620\) −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 −0.334005 0.942571i \(-0.608400\pi\)
0.914975 + 0.403509i \(0.132210\pi\)
\(632\) −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 −0.777438 0.628959i \(-0.783481\pi\)
0.00701500 + 0.999975i \(0.497767\pi\)
\(642\) −8.64322 8.01974i −0.341121 0.316514i
\(643\) −0.473254 2.07346i −0.0186633 0.0817694i 0.964739 0.263210i \(-0.0847812\pi\)
−0.983402 + 0.181440i \(0.941924\pi\)
\(644\) −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 0.985246 0.171142i \(-0.0547457\pi\)
−0.961932 + 0.273289i \(0.911889\pi\)
\(648\) −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 0.913783 0.406202i \(-0.133147\pi\)
−0.599354 + 0.800484i \(0.704576\pi\)
\(654\) 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 0.113261 0.993565i \(-0.463870\pi\)
0.999251 0.0386951i \(-0.0123201\pi\)
\(660\) 0.0725653 + 0.0494742i 0.00282460 + 0.00192578i
\(661\) 24.8200 31.1233i 0.965387 1.21056i −0.0121787 0.999926i \(-0.503877\pi\)
0.977566 0.210631i \(-0.0675519\pi\)
\(662\) 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 −0.205813 0.978591i \(-0.565984\pi\)
−0.986137 + 0.165934i \(0.946936\pi\)
\(674\) 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 0.509589 0.860418i \(-0.329797\pi\)
−0.354978 + 0.934875i \(0.615512\pi\)
\(678\) 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 −0.821414 0.570333i \(-0.806814\pi\)
−0.616812 + 0.787110i \(0.711576\pi\)
\(684\) 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 0.755206 0.655488i \(-0.227537\pi\)
−0.597218 + 0.802079i \(0.703727\pi\)
\(692\) −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 0.638916 + 0.769276i \(0.279383\pi\)
−0.991600 + 0.129346i \(0.958712\pi\)
\(702\) −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 −0.585480 0.810687i \(-0.699094\pi\)
0.879243 0.476373i \(-0.158049\pi\)
\(710\) −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 0.383409 0.923579i \(-0.374750\pi\)
−0.203483 + 0.979078i \(0.565226\pi\)
\(720\) 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 −0.137981 0.990435i \(-0.544061\pi\)
0.688324 + 0.725404i \(0.258347\pi\)
\(728\) −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 0.906538 0.422123i \(-0.138715\pi\)
−0.999915 + 0.0130123i \(0.995858\pi\)
\(734\) −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 0.318032 0.948080i \(-0.396978\pi\)
−0.995078 + 0.0990901i \(0.968407\pi\)
\(740\) 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 −0.0137702 0.999905i \(-0.504383\pi\)
−0.574644 + 0.818403i \(0.694860\pi\)
\(744\) 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 −0.715015 + 0.699110i \(0.753580\pi\)
−0.912007 + 0.410175i \(0.865468\pi\)
\(752\) 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 −0.214483 0.976728i \(-0.568807\pi\)
−0.492850 + 0.870115i \(0.664045\pi\)
\(758\) 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 −0.433662 0.901076i \(-0.642779\pi\)
0.930784 0.365571i \(-0.119126\pi\)
\(762\) 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 0.424475 0.905439i \(-0.360459\pi\)
0.672500 + 0.740097i \(0.265220\pi\)
\(770\) 0.602647 0.290220i 0.0217179 0.0104588i
\(771\) 5.41072 + 5.02041i