Properties

Label 637.2.bl.b.235.4
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 637 = 7^{2} \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 637.bl (of order \(21\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.08647060876\)
Analytic rank: \(0\)
Dimension: \(348\)
Relative dimension: \(29\) over \(\Q(\zeta_{21})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{21}]$

Embedding invariants

Embedding label 235.4
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.b.534.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-2.50899 - 0.378169i) q^{2} +(2.68579 - 1.83114i) q^{3} +(4.24086 + 1.30813i) q^{4} +(-0.0815020 - 1.08757i) q^{5} +(-7.43110 + 3.57863i) q^{6} +(-1.85680 - 1.88475i) q^{7} +(-5.57346 - 2.68404i) q^{8} +(2.76437 - 7.04351i) q^{9} +O(q^{10})\) \(q+(-2.50899 - 0.378169i) q^{2} +(2.68579 - 1.83114i) q^{3} +(4.24086 + 1.30813i) q^{4} +(-0.0815020 - 1.08757i) q^{5} +(-7.43110 + 3.57863i) q^{6} +(-1.85680 - 1.88475i) q^{7} +(-5.57346 - 2.68404i) q^{8} +(2.76437 - 7.04351i) q^{9} +(-0.206797 + 2.75952i) q^{10} +(1.58390 + 4.03571i) q^{11} +(13.7854 - 4.25224i) q^{12} +(0.623490 - 0.781831i) q^{13} +(3.94595 + 5.43099i) q^{14} +(-2.21039 - 2.77174i) q^{15} +(5.63497 + 3.84186i) q^{16} +(-2.71297 - 2.51727i) q^{17} +(-9.59942 + 16.6267i) q^{18} +(-3.05975 - 5.29964i) q^{19} +(1.07704 - 4.71884i) q^{20} +(-8.43823 - 1.66197i) q^{21} +(-2.44781 - 10.7245i) q^{22} +(-3.25900 + 3.02391i) q^{23} +(-19.8840 + 2.99703i) q^{24} +(3.76799 - 0.567933i) q^{25} +(-1.85999 + 1.72582i) q^{26} +(-3.30314 - 14.4720i) q^{27} +(-5.40895 - 10.4219i) q^{28} +(-0.314786 + 1.37917i) q^{29} +(4.49765 + 7.79016i) q^{30} +(1.21741 - 2.10861i) q^{31} +(-3.61578 - 3.35495i) q^{32} +(11.6440 + 7.93874i) q^{33} +(5.85485 + 7.34175i) q^{34} +(-1.89846 + 2.17301i) q^{35} +(20.9372 - 26.2544i) q^{36} +(-3.25439 + 1.00385i) q^{37} +(5.67271 + 14.4538i) q^{38} +(0.242919 - 3.24153i) q^{39} +(-2.46482 + 6.28027i) q^{40} +(-6.85890 - 3.30307i) q^{41} +(20.5429 + 7.36093i) q^{42} +(7.77025 - 3.74196i) q^{43} +(1.43786 + 19.1868i) q^{44} +(-7.88560 - 2.43239i) q^{45} +(9.32034 - 6.35450i) q^{46} +(10.8241 + 1.63147i) q^{47} +22.1693 q^{48} +(-0.104552 + 6.99922i) q^{49} -9.66862 q^{50} +(-11.8959 - 1.79302i) q^{51} +(3.66687 - 2.50003i) q^{52} +(1.93326 + 0.596331i) q^{53} +(2.81467 + 37.5592i) q^{54} +(4.26002 - 2.05152i) q^{55} +(5.29009 + 15.4883i) q^{56} +(-17.9223 - 8.63090i) q^{57} +(1.31135 - 3.34128i) q^{58} +(-0.0449346 + 0.599610i) q^{59} +(-5.74814 - 14.6460i) q^{60} +(-6.71464 + 2.07119i) q^{61} +(-3.85187 + 4.83009i) q^{62} +(-18.4081 + 7.86827i) q^{63} +(-0.701239 - 0.879326i) q^{64} +(-0.901111 - 0.614367i) q^{65} +(-26.2124 - 24.3216i) q^{66} +(2.94936 - 5.10845i) q^{67} +(-8.21240 - 14.2243i) q^{68} +(-3.21579 + 14.0893i) q^{69} +(5.58497 - 4.73412i) q^{70} +(2.82382 + 12.3720i) q^{71} +(-34.3122 + 31.8370i) q^{72} +(12.5062 - 1.88501i) q^{73} +(8.54484 - 1.28793i) q^{74} +(9.08008 - 8.42508i) q^{75} +(-6.04334 - 26.4776i) q^{76} +(4.66531 - 10.4788i) q^{77} +(-1.83533 + 8.04110i) q^{78} +(-0.0838893 - 0.145301i) q^{79} +(3.71902 - 6.44153i) q^{80} +(-18.7318 - 17.3805i) q^{81} +(15.9598 + 10.8812i) q^{82} +(-9.64234 - 12.0911i) q^{83} +(-33.6113 - 18.0865i) q^{84} +(-2.51659 + 3.15570i) q^{85} +(-20.9106 + 6.45005i) q^{86} +(1.68000 + 4.28058i) q^{87} +(2.00420 - 26.7441i) q^{88} +(-2.38330 + 6.07254i) q^{89} +(18.8650 + 9.08491i) q^{90} +(-2.63125 + 0.276587i) q^{91} +(-17.7766 + 8.56078i) q^{92} +(-0.591463 - 7.89253i) q^{93} +(-26.5405 - 8.18666i) q^{94} +(-5.51435 + 3.75962i) q^{95} +(-15.8546 - 2.38970i) q^{96} -2.99453 q^{97} +(2.90921 - 17.5214i) q^{98} +32.8041 q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} + O(q^{10}) \) \( 348 q + 3 q^{2} + 31 q^{4} + q^{5} - 4 q^{6} + 27 q^{7} - 12 q^{8} + 13 q^{9} - 5 q^{10} + 2 q^{11} - 40 q^{12} - 58 q^{13} - 45 q^{14} - 14 q^{15} + 27 q^{16} - 12 q^{17} - 59 q^{18} - 24 q^{19} - 99 q^{20} - 2 q^{21} - 10 q^{22} - 14 q^{23} + 28 q^{25} + 3 q^{26} - 9 q^{27} - 37 q^{28} - 26 q^{29} - 83 q^{30} - 49 q^{31} + 33 q^{32} + 2 q^{33} - 130 q^{34} - 38 q^{35} - 74 q^{36} - 4 q^{37} + 92 q^{38} + 24 q^{40} + 20 q^{41} - 52 q^{42} + 2 q^{43} + 226 q^{44} - 23 q^{45} + 71 q^{46} + 24 q^{47} + 86 q^{48} + 25 q^{49} + 114 q^{50} - 54 q^{51} + 31 q^{52} + 36 q^{53} + 75 q^{54} + 38 q^{55} + 126 q^{56} + 27 q^{57} - 33 q^{58} + q^{59} - 179 q^{60} - 15 q^{61} + 158 q^{62} - 5 q^{63} - 24 q^{64} + q^{65} - 150 q^{66} - 151 q^{67} + 140 q^{68} - 98 q^{69} - 126 q^{70} - 31 q^{71} - 149 q^{72} - 9 q^{73} + 39 q^{74} + 85 q^{75} - 81 q^{76} + 46 q^{77} - 25 q^{78} - 69 q^{79} - 64 q^{80} + 71 q^{81} - 52 q^{82} - q^{83} - 47 q^{84} + 62 q^{85} + 97 q^{86} + 150 q^{87} - 12 q^{88} + 23 q^{89} + 107 q^{90} - q^{91} - 43 q^{92} + 316 q^{93} - 86 q^{94} - 29 q^{95} + 177 q^{96} + 114 q^{97} - 336 q^{98} + 102 q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{17}{21}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −2.50899 0.378169i −1.77412 0.267406i −0.821204 0.570635i \(-0.806697\pi\)
−0.952918 + 0.303229i \(0.901935\pi\)
\(3\) 2.68579 1.83114i 1.55064 1.05721i 0.580626 0.814170i \(-0.302808\pi\)
0.970016 0.243040i \(-0.0781447\pi\)
\(4\) 4.24086 + 1.30813i 2.12043 + 0.654066i
\(5\) −0.0815020 1.08757i −0.0364488 0.486375i −0.985321 0.170714i \(-0.945393\pi\)
0.948872 0.315661i \(-0.102226\pi\)
\(6\) −7.43110 + 3.57863i −3.03373 + 1.46097i
\(7\) −1.85680 1.88475i −0.701806 0.712368i
\(8\) −5.57346 2.68404i −1.97051 0.948950i
\(9\) 2.76437 7.04351i 0.921458 2.34784i
\(10\) −0.206797 + 2.75952i −0.0653950 + 0.872635i
\(11\) 1.58390 + 4.03571i 0.477564 + 1.21681i 0.943315 + 0.331898i \(0.107689\pi\)
−0.465751 + 0.884916i \(0.654216\pi\)
\(12\) 13.7854 4.25224i 3.97951 1.22752i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) 3.94595 + 5.43099i 1.05460 + 1.45149i
\(15\) −2.21039 2.77174i −0.570720 0.715660i
\(16\) 5.63497 + 3.84186i 1.40874 + 0.960464i
\(17\) −2.71297 2.51727i −0.657991 0.610527i 0.278828 0.960341i \(-0.410054\pi\)
−0.936819 + 0.349814i \(0.886245\pi\)
\(18\) −9.59942 + 16.6267i −2.26260 + 3.91895i
\(19\) −3.05975 5.29964i −0.701955 1.21582i −0.967779 0.251800i \(-0.918977\pi\)
0.265824 0.964022i \(-0.414356\pi\)
\(20\) 1.07704 4.71884i 0.240834 1.05516i
\(21\) −8.43823 1.66197i −1.84137 0.362671i
\(22\) −2.44781 10.7245i −0.521874 2.28648i
\(23\) −3.25900 + 3.02391i −0.679549 + 0.630529i −0.942471 0.334288i \(-0.891504\pi\)
0.262922 + 0.964817i \(0.415314\pi\)
\(24\) −19.8840 + 2.99703i −4.05880 + 0.611766i
\(25\) 3.76799 0.567933i 0.753599 0.113587i
\(26\) −1.85999 + 1.72582i −0.364774 + 0.338461i
\(27\) −3.30314 14.4720i −0.635689 2.78514i
\(28\) −5.40895 10.4219i −1.02219 1.96955i
\(29\) −0.314786 + 1.37917i −0.0584544 + 0.256105i −0.995709 0.0925405i \(-0.970501\pi\)
0.937255 + 0.348646i \(0.113358\pi\)
\(30\) 4.49765 + 7.79016i 0.821155 + 1.42228i
\(31\) 1.21741 2.10861i 0.218653 0.378717i −0.735744 0.677260i \(-0.763167\pi\)
0.954396 + 0.298543i \(0.0965005\pi\)
\(32\) −3.61578 3.35495i −0.639185 0.593077i
\(33\) 11.6440 + 7.93874i 2.02696 + 1.38196i
\(34\) 5.85485 + 7.34175i 1.00410 + 1.25910i
\(35\) −1.89846 + 2.17301i −0.320898 + 0.367306i
\(36\) 20.9372 26.2544i 3.48953 4.37573i
\(37\) −3.25439 + 1.00385i −0.535018 + 0.165031i −0.550479 0.834849i \(-0.685555\pi\)
0.0154604 + 0.999880i \(0.495079\pi\)
\(38\) 5.67271 + 14.4538i 0.920236 + 2.34472i
\(39\) 0.242919 3.24153i 0.0388982 0.519061i
\(40\) −2.46482 + 6.28027i −0.389723 + 0.992997i
\(41\) −6.85890 3.30307i −1.07118 0.515853i −0.186693 0.982418i \(-0.559777\pi\)
−0.884487 + 0.466565i \(0.845491\pi\)
\(42\) 20.5429 + 7.36093i 3.16984 + 1.13582i
\(43\) 7.77025 3.74196i 1.18495 0.570643i 0.265602 0.964083i \(-0.414429\pi\)
0.919350 + 0.393440i \(0.128715\pi\)
\(44\) 1.43786 + 19.1868i 0.216765 + 2.89253i
\(45\) −7.88560 2.43239i −1.17552 0.362599i
\(46\) 9.32034 6.35450i 1.37421 0.936920i
\(47\) 10.8241 + 1.63147i 1.57885 + 0.237974i 0.879181 0.476488i \(-0.158091\pi\)
0.699674 + 0.714462i \(0.253329\pi\)
\(48\) 22.1693 3.19987
\(49\) −0.104552 + 6.99922i −0.0149360 + 0.999888i
\(50\) −9.66862 −1.36735
\(51\) −11.8959 1.79302i −1.66576 0.251074i
\(52\) 3.66687 2.50003i 0.508503 0.346692i
\(53\) 1.93326 + 0.596331i 0.265553 + 0.0819123i 0.424673 0.905347i \(-0.360389\pi\)
−0.159119 + 0.987259i \(0.550865\pi\)
\(54\) 2.81467 + 37.5592i 0.383028 + 5.11116i
\(55\) 4.26002 2.05152i 0.574421 0.276627i
\(56\) 5.29009 + 15.4883i 0.706918 + 2.06971i
\(57\) −17.9223 8.63090i −2.37386 1.14319i
\(58\) 1.31135 3.34128i 0.172189 0.438731i
\(59\) −0.0449346 + 0.599610i −0.00584998 + 0.0780626i −0.999365 0.0356415i \(-0.988653\pi\)
0.993515 + 0.113704i \(0.0362716\pi\)
\(60\) −5.74814 14.6460i −0.742082 1.89079i
\(61\) −6.71464 + 2.07119i −0.859722 + 0.265189i −0.693108 0.720833i \(-0.743759\pi\)
−0.166613 + 0.986022i \(0.553283\pi\)
\(62\) −3.85187 + 4.83009i −0.489188 + 0.613422i
\(63\) −18.4081 + 7.86827i −2.31921 + 0.991309i
\(64\) −0.701239 0.879326i −0.0876549 0.109916i
\(65\) −0.901111 0.614367i −0.111769 0.0762028i
\(66\) −26.2124 24.3216i −3.22653 2.99378i
\(67\) 2.94936 5.10845i 0.360322 0.624096i −0.627692 0.778462i \(-0.716000\pi\)
0.988014 + 0.154366i \(0.0493334\pi\)
\(68\) −8.21240 14.2243i −0.995899 1.72495i
\(69\) −3.21579 + 14.0893i −0.387136 + 1.69615i
\(70\) 5.58497 4.73412i 0.667532 0.565836i
\(71\) 2.82382 + 12.3720i 0.335125 + 1.46828i 0.809063 + 0.587722i \(0.199975\pi\)
−0.473937 + 0.880559i \(0.657168\pi\)
\(72\) −34.3122 + 31.8370i −4.04373 + 3.75203i
\(73\) 12.5062 1.88501i 1.46374 0.220624i 0.631647 0.775256i \(-0.282379\pi\)
0.832096 + 0.554632i \(0.187141\pi\)
\(74\) 8.54484 1.28793i 0.993318 0.149719i
\(75\) 9.08008 8.42508i 1.04848 0.972844i
\(76\) −6.04334 26.4776i −0.693218 3.03719i
\(77\) 4.66531 10.4788i 0.531662 1.19417i
\(78\) −1.83533 + 8.04110i −0.207810 + 0.910476i
\(79\) −0.0838893 0.145301i −0.00943828 0.0163476i 0.861268 0.508152i \(-0.169671\pi\)
−0.870706 + 0.491804i \(0.836338\pi\)
\(80\) 3.71902 6.44153i 0.415799 0.720185i
\(81\) −18.7318 17.3805i −2.08131 1.93117i
\(82\) 15.9598 + 10.8812i 1.76246 + 1.20163i
\(83\) −9.64234 12.0911i −1.05838 1.32717i −0.942610 0.333896i \(-0.891636\pi\)
−0.115775 0.993276i \(-0.536935\pi\)
\(84\) −33.6113 18.0865i −3.66729 1.97340i
\(85\) −2.51659 + 3.15570i −0.272962 + 0.342284i
\(86\) −20.9106 + 6.45005i −2.25484 + 0.695527i
\(87\) 1.68000 + 4.28058i 0.180115 + 0.458927i
\(88\) 2.00420 26.7441i 0.213648 2.85093i
\(89\) −2.38330 + 6.07254i −0.252629 + 0.643688i −0.999780 0.0209659i \(-0.993326\pi\)
0.747151 + 0.664654i \(0.231421\pi\)
\(90\) 18.8650 + 9.08491i 1.98855 + 0.957634i
\(91\) −2.63125 + 0.276587i −0.275830 + 0.0289942i
\(92\) −17.7766 + 8.56078i −1.85334 + 0.892523i
\(93\) −0.591463 7.89253i −0.0613319 0.818417i
\(94\) −26.5405 8.18666i −2.73744 0.844390i
\(95\) −5.51435 + 3.75962i −0.565760 + 0.385729i
\(96\) −15.8546 2.38970i −1.61815 0.243897i
\(97\) −2.99453 −0.304048 −0.152024 0.988377i \(-0.548579\pi\)
−0.152024 + 0.988377i \(0.548579\pi\)
\(98\) 2.90921 17.5214i 0.293874 1.76993i
\(99\) 32.8041 3.29694
\(100\) 16.7225 + 2.52050i 1.67225 + 0.252050i
\(101\) −4.59897 + 3.13553i −0.457615 + 0.311996i −0.770097 0.637927i \(-0.779792\pi\)
0.312482 + 0.949924i \(0.398840\pi\)
\(102\) 29.1687 + 8.99735i 2.88813 + 0.890870i
\(103\) −0.605793 8.08374i −0.0596905 0.796514i −0.944070 0.329746i \(-0.893037\pi\)
0.884379 0.466769i \(-0.154582\pi\)
\(104\) −5.57346 + 2.68404i −0.546522 + 0.263191i
\(105\) −1.11977 + 9.31261i −0.109279 + 0.908817i
\(106\) −4.62500 2.22728i −0.449220 0.216333i
\(107\) −1.30334 + 3.32086i −0.125999 + 0.321040i −0.979929 0.199348i \(-0.936117\pi\)
0.853930 + 0.520388i \(0.174213\pi\)
\(108\) 4.92313 65.6946i 0.473728 6.32147i
\(109\) 4.86853 + 12.4048i 0.466321 + 1.18817i 0.949813 + 0.312818i \(0.101273\pi\)
−0.483492 + 0.875349i \(0.660632\pi\)
\(110\) −11.4642 + 3.53623i −1.09307 + 0.337166i
\(111\) −6.90243 + 8.65537i −0.655150 + 0.821532i
\(112\) −3.22210 17.7541i −0.304460 1.67760i
\(113\) 6.63873 + 8.32470i 0.624519 + 0.783122i 0.988972 0.148100i \(-0.0473156\pi\)
−0.364453 + 0.931222i \(0.618744\pi\)
\(114\) 41.7028 + 28.4325i 3.90582 + 2.66294i
\(115\) 3.55433 + 3.29793i 0.331443 + 0.307534i
\(116\) −3.13910 + 5.43708i −0.291458 + 0.504820i
\(117\) −3.78328 6.55283i −0.349764 0.605810i
\(118\) 0.339494 1.48742i 0.0312530 0.136928i
\(119\) 0.293038 + 9.78733i 0.0268628 + 0.897203i
\(120\) 4.88006 + 21.3809i 0.445486 + 1.95180i
\(121\) −5.71468 + 5.30245i −0.519516 + 0.482041i
\(122\) 17.6302 2.65733i 1.59616 0.240583i
\(123\) −24.4700 + 3.68825i −2.20638 + 0.332559i
\(124\) 7.92119 7.34979i 0.711343 0.660030i
\(125\) −2.13819 9.36803i −0.191246 0.837902i
\(126\) 49.1613 12.7800i 4.37964 1.13853i
\(127\) 0.326341 1.42979i 0.0289581 0.126874i −0.958383 0.285486i \(-0.907845\pi\)
0.987341 + 0.158613i \(0.0507021\pi\)
\(128\) 6.35936 + 11.0147i 0.562094 + 0.973575i
\(129\) 14.0172 24.2786i 1.23415 2.13761i
\(130\) 2.02854 + 1.88221i 0.177915 + 0.165081i
\(131\) −13.5791 9.25807i −1.18641 0.808881i −0.201086 0.979574i \(-0.564447\pi\)
−0.985324 + 0.170692i \(0.945400\pi\)
\(132\) 38.9956 + 48.8989i 3.39413 + 4.25611i
\(133\) −4.30714 + 15.6073i −0.373476 + 1.35332i
\(134\) −9.33177 + 11.7017i −0.806142 + 1.01087i
\(135\) −15.4701 + 4.77188i −1.33145 + 0.410698i
\(136\) 8.36418 + 21.3116i 0.717222 + 1.82745i
\(137\) 1.24389 16.5986i 0.106273 1.41811i −0.648045 0.761602i \(-0.724413\pi\)
0.754317 0.656510i \(-0.227968\pi\)
\(138\) 13.3965 34.1337i 1.14039 2.90566i
\(139\) 7.54731 + 3.63459i 0.640154 + 0.308282i 0.725658 0.688056i \(-0.241536\pi\)
−0.0855035 + 0.996338i \(0.527250\pi\)
\(140\) −10.8937 + 6.73200i −0.920684 + 0.568958i
\(141\) 32.0587 15.4386i 2.69983 1.30017i
\(142\) −2.40623 32.1089i −0.201927 2.69452i
\(143\) 4.14280 + 1.27788i 0.346438 + 0.106862i
\(144\) 42.6373 29.0696i 3.55311 2.42247i
\(145\) 1.52560 + 0.229947i 0.126694 + 0.0190960i
\(146\) −32.0908 −2.65585
\(147\) 12.5358 + 18.9899i 1.03393 + 1.56626i
\(148\) −15.1146 −1.24241
\(149\) 21.2586 + 3.20422i 1.74157 + 0.262500i 0.941406 0.337275i \(-0.109505\pi\)
0.800168 + 0.599775i \(0.204743\pi\)
\(150\) −25.9679 + 17.7046i −2.12027 + 1.44558i
\(151\) 9.80394 + 3.02411i 0.797833 + 0.246099i 0.666759 0.745274i \(-0.267681\pi\)
0.131074 + 0.991373i \(0.458157\pi\)
\(152\) 2.82896 + 37.7498i 0.229459 + 3.06191i
\(153\) −25.2301 + 12.1502i −2.03973 + 0.982282i
\(154\) −15.6680 + 24.5269i −1.26256 + 1.97643i
\(155\) −2.39248 1.15216i −0.192168 0.0925434i
\(156\) 5.27054 13.4291i 0.421981 1.07519i
\(157\) −0.512100 + 6.83350i −0.0408701 + 0.545373i 0.938761 + 0.344568i \(0.111975\pi\)
−0.979631 + 0.200805i \(0.935644\pi\)
\(158\) 0.155529 + 0.396281i 0.0123732 + 0.0315265i
\(159\) 6.28429 1.93845i 0.498377 0.153729i
\(160\) −3.35404 + 4.20584i −0.265160 + 0.332501i
\(161\) 11.7506 + 0.527584i 0.926080 + 0.0415795i
\(162\) 40.4250 + 50.6913i 3.17609 + 3.98269i
\(163\) 1.80767 + 1.23245i 0.141588 + 0.0965328i 0.632042 0.774934i \(-0.282217\pi\)
−0.490455 + 0.871467i \(0.663169\pi\)
\(164\) −24.7668 22.9802i −1.93396 1.79445i
\(165\) 7.68491 13.3107i 0.598270 1.03623i
\(166\) 19.6200 + 33.9829i 1.52281 + 2.63758i
\(167\) 1.59544 6.99009i 0.123459 0.540909i −0.874934 0.484242i \(-0.839095\pi\)
0.998393 0.0566672i \(-0.0180474\pi\)
\(168\) 42.5693 + 31.9114i 3.28430 + 2.46202i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) 7.50747 6.96591i 0.575797 0.534261i
\(171\) −45.7864 + 6.90119i −3.50137 + 0.527747i
\(172\) 37.8475 5.70459i 2.88585 0.434971i
\(173\) 5.96962 5.53900i 0.453862 0.421122i −0.419829 0.907603i \(-0.637910\pi\)
0.873691 + 0.486481i \(0.161720\pi\)
\(174\) −2.59633 11.3752i −0.196827 0.862355i
\(175\) −8.06684 6.04718i −0.609796 0.457124i
\(176\) −6.57940 + 28.8263i −0.495941 + 2.17286i
\(177\) 0.977286 + 1.69271i 0.0734573 + 0.127232i
\(178\) 8.27611 14.3346i 0.620320 1.07443i
\(179\) 0.394261 + 0.365821i 0.0294685 + 0.0273427i 0.694770 0.719232i \(-0.255506\pi\)
−0.665301 + 0.746575i \(0.731697\pi\)
\(180\) −30.2598 20.6308i −2.25543 1.53773i
\(181\) −3.62675 4.54779i −0.269574 0.338035i 0.628557 0.777764i \(-0.283646\pi\)
−0.898131 + 0.439729i \(0.855075\pi\)
\(182\) 6.70638 + 0.301105i 0.497110 + 0.0223194i
\(183\) −14.2415 + 17.8582i −1.05276 + 1.32012i
\(184\) 26.2802 8.10637i 1.93740 0.597609i
\(185\) 1.35699 + 3.45755i 0.0997679 + 0.254204i
\(186\) −1.50074 + 20.0259i −0.110039 + 1.46837i
\(187\) 5.86190 14.9359i 0.428664 1.09222i
\(188\) 43.7692 + 21.0781i 3.19220 + 1.53728i
\(189\) −21.1428 + 33.0973i −1.53791 + 2.40747i
\(190\) 15.2572 7.34748i 1.10687 0.533042i
\(191\) 0.167158 + 2.23057i 0.0120952 + 0.161399i 0.999981 + 0.00621436i \(0.00197811\pi\)
−0.987886 + 0.155184i \(0.950403\pi\)
\(192\) −3.49355 1.07762i −0.252126 0.0777704i
\(193\) 14.6677 10.0002i 1.05580 0.719833i 0.0945537 0.995520i \(-0.469858\pi\)
0.961248 + 0.275687i \(0.0889052\pi\)
\(194\) 7.51323 + 1.13244i 0.539418 + 0.0813042i
\(195\) −3.54519 −0.253876
\(196\) −9.59929 + 29.5459i −0.685663 + 2.11042i
\(197\) 22.1971 1.58148 0.790740 0.612152i \(-0.209696\pi\)
0.790740 + 0.612152i \(0.209696\pi\)
\(198\) −82.3051 12.4055i −5.84917 0.881620i
\(199\) −15.2278 + 10.3822i −1.07947 + 0.735972i −0.966252 0.257598i \(-0.917069\pi\)
−0.113220 + 0.993570i \(0.536117\pi\)
\(200\) −22.5251 6.94807i −1.59276 0.491303i
\(201\) −1.43292 19.1209i −0.101070 1.34869i
\(202\) 12.7245 6.12781i 0.895294 0.431151i
\(203\) 3.18388 1.96756i 0.223465 0.138095i
\(204\) −48.1035 23.1654i −3.36792 1.62190i
\(205\) −3.03330 + 7.72872i −0.211855 + 0.539797i
\(206\) −1.53709 + 20.5111i −0.107094 + 1.42908i
\(207\) 12.2899 + 31.3140i 0.854204 + 2.17648i
\(208\) 6.51703 2.01024i 0.451875 0.139385i
\(209\) 16.5415 20.7424i 1.14420 1.43478i
\(210\) 6.33123 22.9417i 0.436896 1.58313i
\(211\) 13.9079 + 17.4400i 0.957461 + 1.20062i 0.979619 + 0.200864i \(0.0643748\pi\)
−0.0221582 + 0.999754i \(0.507054\pi\)
\(212\) 7.41859 + 5.05791i 0.509511 + 0.347379i
\(213\) 30.2390 + 28.0577i 2.07194 + 1.92248i
\(214\) 4.52591 7.83911i 0.309385 0.535871i
\(215\) −4.70292 8.14570i −0.320737 0.555532i
\(216\) −20.4334 + 89.5248i −1.39032 + 6.09139i
\(217\) −6.23468 + 1.62077i −0.423238 + 0.110025i
\(218\) −7.52397 32.9647i −0.509588 2.23265i
\(219\) 30.1374 27.9634i 2.03650 1.88959i
\(220\) 20.7498 3.12753i 1.39895 0.210858i
\(221\) −3.65959 + 0.551594i −0.246170 + 0.0371042i
\(222\) 20.5913 19.1059i 1.38200 1.28231i
\(223\) −5.96163 26.1196i −0.399220 1.74910i −0.630479 0.776206i \(-0.717142\pi\)
0.231259 0.972892i \(-0.425715\pi\)
\(224\) 0.390554 + 13.0443i 0.0260950 + 0.871560i
\(225\) 6.41590 28.1099i 0.427726 1.87399i
\(226\) −13.5083 23.3971i −0.898561 1.55635i
\(227\) −1.83811 + 3.18370i −0.122000 + 0.211310i −0.920556 0.390610i \(-0.872264\pi\)
0.798556 + 0.601920i \(0.205597\pi\)
\(228\) −64.7154 60.0471i −4.28588 3.97672i
\(229\) 17.0595 + 11.6310i 1.12733 + 0.768597i 0.975541 0.219817i \(-0.0705459\pi\)
0.151784 + 0.988414i \(0.451498\pi\)
\(230\) −7.67058 9.61860i −0.505783 0.634232i
\(231\) −6.65810 36.6867i −0.438071 2.41381i
\(232\) 5.45619 6.84184i 0.358216 0.449189i
\(233\) 19.5967 6.04477i 1.28382 0.396006i 0.423564 0.905866i \(-0.360779\pi\)
0.860257 + 0.509860i \(0.170303\pi\)
\(234\) 7.01412 + 17.8717i 0.458527 + 1.16831i
\(235\) 0.892149 11.9049i 0.0581974 0.776590i
\(236\) −0.974930 + 2.48408i −0.0634625 + 0.161700i
\(237\) −0.491375 0.236634i −0.0319182 0.0153710i
\(238\) 2.96604 24.6671i 0.192260 1.59893i
\(239\) −4.98804 + 2.40211i −0.322649 + 0.155380i −0.588196 0.808718i \(-0.700162\pi\)
0.265547 + 0.964098i \(0.414447\pi\)
\(240\) −1.80684 24.1107i −0.116631 1.55634i
\(241\) 4.44134 + 1.36997i 0.286092 + 0.0882476i 0.434480 0.900682i \(-0.356932\pi\)
−0.148388 + 0.988929i \(0.547408\pi\)
\(242\) 16.3433 11.1427i 1.05059 0.716277i
\(243\) −38.1008 5.74277i −2.44417 0.368399i
\(244\) −31.1852 −1.99643
\(245\) 7.62065 0.456742i 0.486865 0.0291802i
\(246\) 62.7896 4.00332
\(247\) −6.05115 0.912065i −0.385026 0.0580333i
\(248\) −12.4447 + 8.48468i −0.790242 + 0.538778i
\(249\) −48.0379 14.8177i −3.04428 0.939035i
\(250\) 1.82200 + 24.3129i 0.115233 + 1.53768i
\(251\) 25.3129 12.1900i 1.59773 0.769428i 0.598243 0.801315i \(-0.295866\pi\)
0.999491 + 0.0318869i \(0.0101516\pi\)
\(252\) −88.3591 + 9.28796i −5.56610 + 0.585086i
\(253\) −17.3656 8.36283i −1.09176 0.525766i
\(254\) −1.35949 + 3.46392i −0.0853020 + 0.217346i
\(255\) −0.980494 + 13.0838i −0.0614009 + 0.819338i
\(256\) −10.9683 27.9468i −0.685520 1.74668i
\(257\) 0.935287 0.288498i 0.0583416 0.0179960i −0.265447 0.964125i \(-0.585520\pi\)
0.323789 + 0.946129i \(0.395043\pi\)
\(258\) −44.3504 + 55.6137i −2.76114 + 3.46236i
\(259\) 7.93476 + 4.26976i 0.493042 + 0.265310i
\(260\) −3.01781 3.78421i −0.187157 0.234687i
\(261\) 8.84401 + 6.02974i 0.547430 + 0.373232i
\(262\) 30.5686 + 28.3636i 1.88854 + 1.75231i
\(263\) −3.62158 + 6.27275i −0.223316 + 0.386795i −0.955813 0.293976i \(-0.905021\pi\)
0.732497 + 0.680770i \(0.238355\pi\)
\(264\) −43.5894 75.4991i −2.68274 4.64665i
\(265\) 0.490986 2.15115i 0.0301610 0.132144i
\(266\) 16.7087 37.5296i 1.02448 2.30109i
\(267\) 4.71865 + 20.6737i 0.288776 + 1.26521i
\(268\) 19.1904 17.8060i 1.17224 1.08768i
\(269\) 4.92602 0.742479i 0.300345 0.0452697i 0.00285904 0.999996i \(-0.499090\pi\)
0.297486 + 0.954726i \(0.403852\pi\)
\(270\) 40.6188 6.12229i 2.47198 0.372591i
\(271\) −19.3927 + 17.9938i −1.17802 + 1.09305i −0.184108 + 0.982906i \(0.558940\pi\)
−0.993916 + 0.110141i \(0.964870\pi\)
\(272\) −5.61651 24.6076i −0.340551 1.49205i
\(273\) −6.56053 + 5.56106i −0.397061 + 0.336570i
\(274\) −9.39797 + 41.1752i −0.567752 + 2.48749i
\(275\) 8.26015 + 14.3070i 0.498106 + 0.862744i
\(276\) −32.0684 + 55.5440i −1.93029 + 3.34336i
\(277\) 11.0643 + 10.2661i 0.664787 + 0.616832i 0.938623 0.344944i \(-0.112102\pi\)
−0.273836 + 0.961776i \(0.588293\pi\)
\(278\) −17.5616 11.9733i −1.05328 0.718111i
\(279\) −11.4866 14.4038i −0.687688 0.862333i
\(280\) 16.4134 7.01566i 0.980889 0.419266i
\(281\) −9.11755 + 11.4330i −0.543907 + 0.682038i −0.975492 0.220034i \(-0.929383\pi\)
0.431585 + 0.902072i \(0.357955\pi\)
\(282\) −86.2732 + 26.6118i −5.13750 + 1.58471i
\(283\) 3.10860 + 7.92059i 0.184787 + 0.470830i 0.993008 0.118050i \(-0.0376643\pi\)
−0.808220 + 0.588880i \(0.799569\pi\)
\(284\) −4.20873 + 56.1616i −0.249742 + 3.33258i
\(285\) −7.92600 + 20.1951i −0.469496 + 1.19626i
\(286\) −9.91096 4.77287i −0.586048 0.282226i
\(287\) 6.51018 + 19.0605i 0.384284 + 1.12510i
\(288\) −33.6260 + 16.1934i −1.98143 + 0.954206i
\(289\) −0.246847 3.29394i −0.0145204 0.193761i
\(290\) −3.74074 1.15387i −0.219664 0.0677574i
\(291\) −8.04267 + 5.48340i −0.471470 + 0.321443i
\(292\) 55.5030 + 8.36573i 3.24807 + 0.489567i
\(293\) −9.81870 −0.573614 −0.286807 0.957988i \(-0.592594\pi\)
−0.286807 + 0.957988i \(0.592594\pi\)
\(294\) −24.2707 52.3860i −1.41549 3.05522i
\(295\) 0.655779 0.0381809
\(296\) 20.8326 + 3.14000i 1.21087 + 0.182509i
\(297\) 53.1730 36.2527i 3.08541 2.10360i
\(298\) −52.1259 16.0787i −3.01957 0.931414i
\(299\) 0.332235 + 4.43337i 0.0192137 + 0.256388i
\(300\) 49.5284 23.8516i 2.85952 1.37707i
\(301\) −21.4805 7.69689i −1.23811 0.443641i
\(302\) −23.4543 11.2950i −1.34964 0.649955i
\(303\) −6.61029 + 16.8427i −0.379751 + 0.967590i
\(304\) 3.11887 41.6185i 0.178880 2.38698i
\(305\) 2.79982 + 7.13382i 0.160317 + 0.408481i
\(306\) 67.8967 20.9434i 3.88139 1.19725i
\(307\) −13.6740 + 17.1467i −0.780419 + 0.978614i 0.219577 + 0.975595i \(0.429532\pi\)
−0.999995 + 0.00301884i \(0.999039\pi\)
\(308\) 33.4926 38.3362i 1.90842 2.18441i
\(309\) −16.4295 20.6019i −0.934642 1.17200i
\(310\) 5.56698 + 3.79551i 0.316183 + 0.215570i
\(311\) −6.43480 5.97062i −0.364884 0.338563i 0.476329 0.879267i \(-0.341967\pi\)
−0.841213 + 0.540705i \(0.818158\pi\)
\(312\) −10.0543 + 17.4145i −0.569212 + 0.985905i
\(313\) 6.02896 + 10.4425i 0.340777 + 0.590243i 0.984577 0.174951i \(-0.0559766\pi\)
−0.643800 + 0.765193i \(0.722643\pi\)
\(314\) 3.86907 16.9515i 0.218344 0.956629i
\(315\) 10.0576 + 19.3788i 0.566681 + 1.09187i
\(316\) −0.165690 0.725937i −0.00932081 0.0408372i
\(317\) −8.26423 + 7.66809i −0.464165 + 0.430683i −0.877267 0.480002i \(-0.840636\pi\)
0.413102 + 0.910685i \(0.364445\pi\)
\(318\) −16.5003 + 2.48702i −0.925289 + 0.139465i
\(319\) −6.06453 + 0.914080i −0.339548 + 0.0511787i
\(320\) −0.899175 + 0.834312i −0.0502654 + 0.0466395i
\(321\) 2.58046 + 11.3057i 0.144027 + 0.631025i
\(322\) −29.2827 5.76743i −1.63186 0.321406i
\(323\) −5.03961 + 22.0800i −0.280411 + 1.22856i
\(324\) −56.7028 98.2120i −3.15015 5.45622i
\(325\) 1.90528 3.30004i 0.105686 0.183053i
\(326\) −4.06935 3.77580i −0.225380 0.209122i
\(327\) 35.7909 + 24.4018i 1.97924 + 1.34942i
\(328\) 29.3622 + 36.8190i 1.62126 + 2.03299i
\(329\) −17.0233 23.4300i −0.938525 1.29174i
\(330\) −24.3150 + 30.4901i −1.33850 + 1.67842i
\(331\) 27.3117 8.42456i 1.50119 0.463055i 0.568179 0.822905i \(-0.307648\pi\)
0.933010 + 0.359850i \(0.117172\pi\)
\(332\) −25.0750 63.8901i −1.37617 3.50643i
\(333\) −1.92575 + 25.6973i −0.105530 + 1.40821i
\(334\) −6.64638 + 16.9347i −0.363674 + 0.926625i
\(335\) −5.79616 2.79129i −0.316678 0.152504i
\(336\) −41.1641 41.7836i −2.24569 2.27948i
\(337\) −1.44397 + 0.695379i −0.0786580 + 0.0378797i −0.472799 0.881170i \(-0.656756\pi\)
0.394141 + 0.919050i \(0.371042\pi\)
\(338\) 0.189615 + 2.53023i 0.0103137 + 0.137626i
\(339\) 33.0740 + 10.2020i 1.79633 + 0.554095i
\(340\) −14.8006 + 10.0908i −0.802673 + 0.547253i
\(341\) 10.4380 + 1.57328i 0.565249 + 0.0851976i
\(342\) 117.487 6.35299
\(343\) 13.3859 12.7991i 0.722771 0.691088i
\(344\) −53.3507 −2.87648
\(345\) 15.5852 + 2.34908i 0.839077 + 0.126470i
\(346\) −17.0724 + 11.6397i −0.917817 + 0.625757i
\(347\) 11.6572 + 3.59576i 0.625790 + 0.193031i 0.591401 0.806378i \(-0.298575\pi\)
0.0343895 + 0.999409i \(0.489051\pi\)
\(348\) 1.52510 + 20.3510i 0.0817538 + 1.09093i
\(349\) 2.83828 1.36684i 0.151929 0.0731654i −0.356374 0.934343i \(-0.615987\pi\)
0.508303 + 0.861178i \(0.330273\pi\)
\(350\) 17.9527 + 18.2229i 0.959614 + 0.974056i
\(351\) −13.3741 6.44064i −0.713858 0.343776i
\(352\) 7.81259 19.9061i 0.416412 1.06100i
\(353\) 1.92675 25.7106i 0.102550 1.36844i −0.674162 0.738584i \(-0.735495\pi\)
0.776712 0.629856i \(-0.216886\pi\)
\(354\) −1.81187 4.61656i −0.0962997 0.245368i
\(355\) 13.2252 4.07943i 0.701920 0.216514i
\(356\) −18.0509 + 22.6351i −0.956696 + 1.19966i
\(357\) 18.7090 + 25.7501i 0.990187 + 1.36284i
\(358\) −0.850854 1.06694i −0.0449690 0.0563894i
\(359\) 5.63201 + 3.83984i 0.297246 + 0.202659i 0.702755 0.711432i \(-0.251953\pi\)
−0.405509 + 0.914091i \(0.632906\pi\)
\(360\) 37.4214 + 34.7220i 1.97228 + 1.83001i
\(361\) −9.22416 + 15.9767i −0.485482 + 0.840879i
\(362\) 7.37962 + 12.7819i 0.387864 + 0.671801i
\(363\) −5.63891 + 24.7057i −0.295966 + 1.29671i
\(364\) −11.5206 2.26906i −0.603843 0.118931i
\(365\) −3.06936 13.4477i −0.160658 0.703887i
\(366\) 42.4851 39.4204i 2.22073 2.06054i
\(367\) −22.5755 + 3.40272i −1.17843 + 0.177620i −0.708910 0.705299i \(-0.750813\pi\)
−0.469524 + 0.882920i \(0.655574\pi\)
\(368\) −29.9818 + 4.51903i −1.56291 + 0.235571i
\(369\) −42.2258 + 39.1798i −2.19819 + 2.03962i
\(370\) −2.09713 9.18813i −0.109025 0.477668i
\(371\) −2.46575 4.75097i −0.128015 0.246658i
\(372\) 7.81615 34.2448i 0.405249 1.77551i
\(373\) 7.99078 + 13.8404i 0.413747 + 0.716630i 0.995296 0.0968808i \(-0.0308865\pi\)
−0.581549 + 0.813511i \(0.697553\pi\)
\(374\) −20.3557 + 35.2571i −1.05257 + 1.82310i
\(375\) −22.8969 21.2452i −1.18239 1.09710i
\(376\) −55.9486 38.1451i −2.88533 1.96719i
\(377\) 0.882012 + 1.10601i 0.0454259 + 0.0569623i
\(378\) 65.5633 75.0450i 3.37221 3.85990i
\(379\) −6.26257 + 7.85302i −0.321687 + 0.403382i −0.916212 0.400695i \(-0.868769\pi\)
0.594525 + 0.804077i \(0.297340\pi\)
\(380\) −28.3036 + 8.73052i −1.45195 + 0.447866i
\(381\) −1.74167 4.43771i −0.0892285 0.227351i
\(382\) 0.424136 5.65970i 0.0217007 0.289575i
\(383\) 9.38272 23.9068i 0.479435 1.22158i −0.462751 0.886488i \(-0.653138\pi\)
0.942186 0.335091i \(-0.108767\pi\)
\(384\) 37.2495 + 17.9384i 1.90088 + 0.915415i
\(385\) −11.7766 4.21980i −0.600193 0.215061i
\(386\) −40.5827 + 19.5436i −2.06561 + 0.994744i
\(387\) −4.87662 65.0740i −0.247893 3.30790i
\(388\) −12.6994 3.91723i −0.644712 0.198867i
\(389\) 15.9688 10.8873i 0.809650 0.552010i −0.0862457 0.996274i \(-0.527487\pi\)
0.895896 + 0.444264i \(0.146535\pi\)
\(390\) 8.89483 + 1.34068i 0.450407 + 0.0678880i
\(391\) 16.4536 0.832092
\(392\) 19.3689 38.7292i 0.978276 1.95612i
\(393\) −53.4235 −2.69486
\(394\) −55.6923 8.39426i −2.80574 0.422897i
\(395\) −0.151187 + 0.103078i −0.00760705 + 0.00518640i
\(396\) 139.118 + 42.9121i 6.99092 + 2.15641i
\(397\) −0.403725 5.38733i −0.0202624 0.270382i −0.998129 0.0611510i \(-0.980523\pi\)
0.977866 0.209231i \(-0.0670962\pi\)
\(398\) 42.1326 20.2900i 2.11192 1.01705i
\(399\) 17.0111 + 49.8048i 0.851618 + 2.49336i
\(400\) 23.4144 + 11.2758i 1.17072 + 0.563790i
\(401\) −4.48114 + 11.4178i −0.223778 + 0.570176i −0.998033 0.0626978i \(-0.980030\pi\)
0.774255 + 0.632874i \(0.218125\pi\)
\(402\) −3.63578 + 48.5161i −0.181336 + 2.41976i
\(403\) −0.889537 2.26650i −0.0443110 0.112903i
\(404\) −23.6053 + 7.28126i −1.17441 + 0.362256i
\(405\) −17.3759 + 21.7886i −0.863413 + 1.08269i
\(406\) −8.73239 + 3.73252i −0.433381 + 0.185242i
\(407\) −9.20587 11.5438i −0.456318 0.572205i
\(408\) 61.4890 + 41.9225i 3.04416 + 2.07547i
\(409\) 3.24327 + 3.00932i 0.160369 + 0.148801i 0.756276 0.654253i \(-0.227017\pi\)
−0.595907 + 0.803054i \(0.703207\pi\)
\(410\) 10.5333 18.2442i 0.520201 0.901015i
\(411\) −27.0535 46.8581i −1.33445 2.31134i
\(412\) 8.00551 35.0744i 0.394403 1.72799i
\(413\) 1.21355 1.02867i 0.0597148 0.0506175i
\(414\) −18.9931 83.2142i −0.933459 4.08975i
\(415\) −12.3640 + 11.4722i −0.606927 + 0.563146i
\(416\) −4.87740 + 0.735150i −0.239134 + 0.0360437i
\(417\) 26.9259 4.05843i 1.31857 0.198742i
\(418\) −49.3466 + 45.7869i −2.41362 + 2.23951i
\(419\) −1.98639 8.70293i −0.0970414 0.425166i 0.902948 0.429750i \(-0.141398\pi\)
−0.999989 + 0.00458355i \(0.998541\pi\)
\(420\) −16.9309 + 38.0286i −0.826143 + 1.85561i
\(421\) 4.00139 17.5312i 0.195016 0.854420i −0.778835 0.627229i \(-0.784189\pi\)
0.973850 0.227191i \(-0.0729540\pi\)
\(422\) −28.2995 49.0162i −1.37760 2.38607i
\(423\) 41.4131 71.7296i 2.01357 3.48761i
\(424\) −9.17435 8.51255i −0.445546 0.413406i
\(425\) −11.6521 7.94426i −0.565209 0.385353i
\(426\) −65.2587 81.8318i −3.16179 3.96476i
\(427\) 16.3715 + 8.80961i 0.792270 + 0.426327i
\(428\) −9.87141 + 12.3784i −0.477153 + 0.598330i
\(429\) 13.4667 4.15392i 0.650177 0.200553i
\(430\) 8.71912 + 22.2160i 0.420473 + 1.07135i
\(431\) −0.147751 + 1.97160i −0.00711690 + 0.0949684i −0.999631 0.0271611i \(-0.991353\pi\)
0.992514 + 0.122130i \(0.0389723\pi\)
\(432\) 36.9863 94.2394i 1.77950 4.53410i
\(433\) 11.5885 + 5.58072i 0.556907 + 0.268192i 0.691096 0.722763i \(-0.257128\pi\)
−0.134188 + 0.990956i \(0.542843\pi\)
\(434\) 16.2557 1.70873i 0.780297 0.0820217i
\(435\) 4.51850 2.17599i 0.216645 0.104331i
\(436\) 4.41962 + 58.9758i 0.211662 + 2.82443i
\(437\) 25.9974 + 8.01914i 1.24362 + 0.383607i
\(438\) −86.1892 + 58.7628i −4.11828 + 2.80780i
\(439\) 0.284644 + 0.0429032i 0.0135853 + 0.00204766i 0.155831 0.987784i \(-0.450194\pi\)
−0.142246 + 0.989831i \(0.545432\pi\)
\(440\) −29.2494 −1.39441
\(441\) 49.0101 + 20.0849i 2.33381 + 0.956423i
\(442\) 9.39045 0.446658
\(443\) −32.8304 4.94839i −1.55982 0.235105i −0.688286 0.725440i \(-0.741636\pi\)
−0.871534 + 0.490335i \(0.836875\pi\)
\(444\) −40.5946 + 27.6769i −1.92653 + 1.31349i
\(445\) 6.79855 + 2.09707i 0.322282 + 0.0994108i
\(446\) 5.08003 + 67.7883i 0.240546 + 3.20987i
\(447\) 62.9636 30.3217i 2.97808 1.43417i
\(448\) −0.355244 + 2.95440i −0.0167837 + 0.139582i
\(449\) 26.4234 + 12.7248i 1.24700 + 0.600522i 0.936705 0.350120i \(-0.113859\pi\)
0.310291 + 0.950642i \(0.399573\pi\)
\(450\) −26.7277 + 68.1010i −1.25995 + 3.21031i
\(451\) 2.46644 32.9123i 0.116140 1.54978i
\(452\) 17.2641 + 43.9882i 0.812035 + 2.06903i
\(453\) 31.8689 9.83026i 1.49733 0.461866i
\(454\) 5.81577 7.29275i 0.272948 0.342266i
\(455\) 0.515260 + 2.83913i 0.0241557 + 0.133100i
\(456\) 76.7233 + 96.2079i 3.59290 + 4.50535i
\(457\) −18.9559 12.9239i −0.886721 0.604556i 0.0319896 0.999488i \(-0.489816\pi\)
−0.918710 + 0.394932i \(0.870768\pi\)
\(458\) −38.4036 35.6334i −1.79448 1.66504i
\(459\) −27.4686 + 47.5769i −1.28212 + 2.22070i
\(460\) 10.7593 + 18.6356i 0.501653 + 0.868889i
\(461\) −4.46418 + 19.5589i −0.207918 + 0.910947i 0.758032 + 0.652217i \(0.226161\pi\)
−0.965950 + 0.258730i \(0.916696\pi\)
\(462\) 2.83131 + 94.5643i 0.131724 + 4.39953i
\(463\) −2.59767 11.3811i −0.120724 0.528927i −0.998735 0.0502859i \(-0.983987\pi\)
0.878011 0.478641i \(-0.158870\pi\)
\(464\) −7.07239 + 6.56222i −0.328327 + 0.304643i
\(465\) −8.53546 + 1.28651i −0.395822 + 0.0596606i
\(466\) −51.4538 + 7.75541i −2.38355 + 0.359262i
\(467\) −9.35248 + 8.67783i −0.432781 + 0.401562i −0.866254 0.499605i \(-0.833479\pi\)
0.433472 + 0.901167i \(0.357288\pi\)
\(468\) −7.47238 32.7387i −0.345411 1.51334i
\(469\) −15.1045 + 3.92658i −0.697463 + 0.181313i
\(470\) −6.74045 + 29.5318i −0.310914 + 1.36220i
\(471\) 11.1377 + 19.2911i 0.513199 + 0.888887i
\(472\) 1.85981 3.22129i 0.0856049 0.148272i
\(473\) 27.4088 + 25.4316i 1.26026 + 1.16935i
\(474\) 1.14337 + 0.779534i 0.0525165 + 0.0358052i
\(475\) −14.5390 18.2313i −0.667094 0.836509i
\(476\) −11.5604 + 41.8900i −0.529869 + 1.92003i
\(477\) 9.54451 11.9684i 0.437013 0.547997i
\(478\) 13.4233 4.14055i 0.613969 0.189384i
\(479\) 1.35702 + 3.45762i 0.0620036 + 0.157983i 0.958518 0.285032i \(-0.0920042\pi\)
−0.896514 + 0.443015i \(0.853909\pi\)
\(480\) −1.30678 + 17.4377i −0.0596459 + 0.795920i
\(481\) −1.24424 + 3.17027i −0.0567325 + 0.144552i
\(482\) −10.6252 5.11682i −0.483964 0.233065i
\(483\) 32.5259 20.1001i 1.47998 0.914587i
\(484\) −31.1714 + 15.0114i −1.41688 + 0.682335i
\(485\) 0.244060 + 3.25675i 0.0110822 + 0.147881i
\(486\) 93.4226 + 28.8171i 4.23774 + 1.30717i
\(487\) −16.5943 + 11.3138i −0.751957 + 0.512676i −0.877596 0.479400i \(-0.840854\pi\)
0.125639 + 0.992076i \(0.459902\pi\)
\(488\) 42.9829 + 6.47863i 1.94574 + 0.293274i
\(489\) 7.11181 0.321607
\(490\) −19.2928 1.73593i −0.871561 0.0784214i
\(491\) 0.664092 0.0299701 0.0149850 0.999888i \(-0.495230\pi\)
0.0149850 + 0.999888i \(0.495230\pi\)
\(492\) −108.598 16.3686i −4.89599 0.737952i
\(493\) 4.32574 2.94924i 0.194822 0.132827i
\(494\) 14.8373 + 4.57672i 0.667564 + 0.205916i
\(495\) −2.67360 35.6767i −0.120169 1.60355i
\(496\) 14.9610 7.20485i 0.671770 0.323507i
\(497\) 18.0747 28.2945i 0.810763 1.26918i
\(498\) 114.923 + 55.3439i 5.14981 + 2.48002i
\(499\) 14.3134 36.4699i 0.640756 1.63262i −0.127020 0.991900i \(-0.540541\pi\)
0.767776 0.640718i \(-0.221363\pi\)
\(500\) 3.18685 42.5255i 0.142520 1.90180i
\(501\) −8.51482 21.6954i −0.380414 0.969279i
\(502\) −68.1195 + 21.0121i −3.04032 + 0.937816i
\(503\) −11.7241 + 14.7016i −0.522752 + 0.655510i −0.971191 0.238304i \(-0.923409\pi\)
0.448439 + 0.893813i \(0.351980\pi\)
\(504\) 123.716 + 5.55463i 5.51074 + 0.247423i
\(505\) 3.78492 + 4.74614i 0.168427 + 0.211201i
\(506\) 40.4075 + 27.5493i 1.79633 + 1.22472i
\(507\) −2.38288 2.21099i −0.105827 0.0981933i
\(508\) 3.25433 5.63666i 0.144387 0.250086i
\(509\) 3.68251 + 6.37830i 0.163224 + 0.282713i 0.936023 0.351938i \(-0.114477\pi\)
−0.772799 + 0.634651i \(0.781144\pi\)
\(510\) 7.40792 32.4562i 0.328028 1.43719i
\(511\) −26.7744 20.0710i −1.18443 0.887889i
\(512\) 11.2904 + 49.4664i 0.498970 + 2.18613i
\(513\) −66.5896 + 61.7862i −2.94000 + 2.72793i
\(514\) −2.45572 + 0.370141i −0.108317 + 0.0163262i
\(515\) −8.74224 + 1.31768i −0.385229 + 0.0580640i
\(516\) 91.2046 84.6255i 4.01506 3.72543i
\(517\) 10.5601 + 46.2670i 0.464434 + 2.03482i
\(518\) −18.2935 13.7135i −0.803772 0.602534i
\(519\) 5.89047 25.8078i 0.258563 1.13284i
\(520\) 3.37332 + 5.84276i 0.147930 + 0.256222i
\(521\) −2.98370 + 5.16793i −0.130718 + 0.226411i −0.923954 0.382504i \(-0.875062\pi\)
0.793235 + 0.608915i \(0.208395\pi\)
\(522\) −19.9092 18.4731i −0.871404 0.808545i
\(523\) 25.4679 + 17.3637i 1.11363 + 0.759262i 0.973001 0.230800i \(-0.0741342\pi\)
0.140632 + 0.990062i \(0.455087\pi\)
\(524\) −45.4762 57.0254i −1.98664 2.49117i
\(525\) −32.7391 1.46993i −1.42885 0.0641530i
\(526\) 11.4586 14.3687i 0.499621 0.626505i
\(527\) −8.61072 + 2.65605i −0.375089 + 0.115700i
\(528\) 35.1141 + 89.4692i 1.52814 + 3.89365i
\(529\) −0.241741 + 3.22581i −0.0105105 + 0.140253i
\(530\) −2.04538 + 5.21153i −0.0888455 + 0.226375i
\(531\) 4.09914 + 1.97404i 0.177888 + 0.0856662i
\(532\) −38.6823 + 60.5539i −1.67709 + 2.62534i
\(533\) −6.85890 + 3.30307i −0.297092 + 0.143072i
\(534\) −4.02086 53.6546i −0.173999 2.32186i
\(535\) 3.71789 + 1.14682i 0.160738 + 0.0495812i
\(536\) −30.1494 + 20.5555i −1.30226 + 0.887863i
\(537\) 1.72877 + 0.260571i 0.0746021 + 0.0112445i
\(538\) −12.6401 −0.544954
\(539\) −28.4125 + 10.6641i −1.22381 + 0.459337i
\(540\) −71.8486 −3.09187
\(541\) −19.3843 2.92171i −0.833396 0.125614i −0.281536 0.959551i \(-0.590844\pi\)
−0.551860 + 0.833937i \(0.686082\pi\)
\(542\) 55.4608 37.8125i 2.38225 1.62419i
\(543\) −18.0683 5.57335i −0.775387 0.239175i
\(544\) 1.36418 + 18.2037i 0.0584888 + 0.780479i
\(545\) 13.0943 6.30588i 0.560898 0.270114i
\(546\) 18.5633 11.4716i 0.794436 0.490940i
\(547\) −16.9181 8.14733i −0.723366 0.348355i 0.0357053 0.999362i \(-0.488632\pi\)
−0.759071 + 0.651008i \(0.774347\pi\)
\(548\) 26.9883 68.7650i 1.15288 2.93750i
\(549\) −3.97331 + 53.0202i −0.169577 + 2.26285i
\(550\) −15.3141 39.0198i −0.652997 1.66381i
\(551\) 8.27228 2.55166i 0.352411 0.108704i
\(552\) 55.7392 69.8948i 2.37242 2.97492i
\(553\) −0.118089 + 0.427905i −0.00502165 + 0.0181964i
\(554\) −23.8777 29.9417i −1.01447 1.27210i
\(555\) 9.97587 + 6.80143i 0.423452 + 0.288705i
\(556\) 27.2525 + 25.2867i 1.15576 + 1.07239i
\(557\) −15.1886 + 26.3074i −0.643560 + 1.11468i 0.341072 + 0.940037i \(0.389210\pi\)
−0.984632 + 0.174642i \(0.944123\pi\)
\(558\) 23.3728 + 40.4828i 0.989449 + 1.71378i
\(559\) 1.91909 8.40810i 0.0811690 0.355625i
\(560\) −19.0462 + 4.95125i −0.804847 + 0.209229i
\(561\) −11.6059 50.8486i −0.490000 2.14683i
\(562\) 27.1994 25.2374i 1.14734 1.06457i
\(563\) 6.36372 0.959176i 0.268199 0.0404245i −0.0135660 0.999908i \(-0.504318\pi\)
0.281765 + 0.959484i \(0.409080\pi\)
\(564\) 156.152 23.5361i 6.57519 0.991050i
\(565\) 8.51261 7.89855i 0.358128 0.332294i
\(566\) −4.80412 21.0482i −0.201932 0.884723i
\(567\) 2.02329 + 67.5770i 0.0849703 + 2.83797i
\(568\) 17.4683 76.5338i 0.732955 3.21129i
\(569\) −12.2512 21.2197i −0.513597 0.889576i −0.999876 0.0157720i \(-0.994979\pi\)
0.486279 0.873804i \(-0.338354\pi\)
\(570\) 27.5234 47.6719i 1.15283 1.99676i
\(571\) −15.5992 14.4740i −0.652807 0.605717i 0.282622 0.959231i \(-0.408796\pi\)
−0.935429 + 0.353515i \(0.884986\pi\)
\(572\) 15.8974 + 10.8386i 0.664702 + 0.453186i
\(573\) 4.53345 + 5.68477i 0.189388 + 0.237485i
\(574\) −9.12587 50.2844i −0.380907 2.09883i
\(575\) −10.5625 + 13.2450i −0.440487 + 0.552354i
\(576\) −8.13203 + 2.50840i −0.338835 + 0.104517i
\(577\) 5.86081 + 14.9331i 0.243989 + 0.621673i 0.999438 0.0335345i \(-0.0106764\pi\)
−0.755449 + 0.655208i \(0.772581\pi\)
\(578\) −0.626330 + 8.35780i −0.0260519 + 0.347639i
\(579\) 21.0824 53.7171i 0.876156 2.23241i
\(580\) 6.16904 + 2.97085i 0.256155 + 0.123358i
\(581\) −4.88476 + 40.6242i −0.202654 + 1.68538i
\(582\) 22.2526 10.7163i 0.922401 0.444205i
\(583\) 0.655467 + 8.74660i 0.0271467 + 0.362247i
\(584\) −74.7623 23.0611i −3.09369 0.954276i
\(585\) −6.81831 + 4.64864i −0.281902 + 0.192198i
\(586\) 24.6350 + 3.71313i 1.01766 + 0.153388i
\(587\) −43.1116 −1.77941 −0.889704 0.456538i \(-0.849089\pi\)
−0.889704 + 0.456538i \(0.849089\pi\)
\(588\) 28.3211 + 96.9319i 1.16794 + 3.99740i
\(589\) −14.8998 −0.613937
\(590\) −1.64534 0.247995i −0.0677376 0.0102098i
\(591\) 59.6169 40.6461i 2.45231 1.67196i
\(592\) −22.1950 6.84626i −0.912210 0.281379i
\(593\) 0.204216 + 2.72508i 0.00838616 + 0.111906i 0.999826 0.0186596i \(-0.00593987\pi\)
−0.991440 + 0.130565i \(0.958321\pi\)
\(594\) −147.120 + 70.8493i −6.03641 + 2.90698i
\(595\) 10.6205 1.11639i 0.435398 0.0457674i
\(596\) 85.9633 + 41.3977i 3.52119 + 1.69572i
\(597\) −21.8876 + 55.7686i −0.895799 + 2.28246i
\(598\) 0.842989 11.2489i 0.0344724 0.460002i
\(599\) −11.4927 29.2829i −0.469579 1.19647i −0.947981 0.318326i \(-0.896879\pi\)
0.478403 0.878141i \(-0.341216\pi\)
\(600\) −73.2206 + 22.5856i −2.98922 + 0.922052i
\(601\) −23.2368 + 29.1380i −0.947848 + 1.18856i 0.0341012 + 0.999418i \(0.489143\pi\)
−0.981949 + 0.189145i \(0.939428\pi\)
\(602\) 50.9835 + 27.4346i 2.07793 + 1.11815i
\(603\) −27.8283 34.8955i −1.13325 1.42106i
\(604\) 37.6212 + 25.6497i 1.53078 + 1.04367i
\(605\) 6.23253 + 5.78294i 0.253388 + 0.235110i
\(606\) 22.9545 39.7584i 0.932464 1.61507i
\(607\) −2.66221 4.61109i −0.108056 0.187158i 0.806927 0.590652i \(-0.201129\pi\)
−0.914983 + 0.403493i \(0.867796\pi\)
\(608\) −6.71667 + 29.4276i −0.272397 + 1.19345i
\(609\) 4.94838 11.1146i 0.200518 0.450386i
\(610\) −4.32692 18.9575i −0.175192 0.767565i
\(611\) 8.02424 7.44541i 0.324626 0.301209i
\(612\) −122.891 + 18.5228i −4.96758 + 0.748742i
\(613\) 10.7046 1.61346i 0.432354 0.0651669i 0.0707399 0.997495i \(-0.477464\pi\)
0.361614 + 0.932328i \(0.382226\pi\)
\(614\) 40.7923 37.8498i 1.64624 1.52749i
\(615\) 6.00558 + 26.3121i 0.242168 + 1.06101i
\(616\) −54.1273 + 45.8812i −2.18085 + 1.84861i
\(617\) −4.76328 + 20.8693i −0.191762 + 0.840166i 0.783900 + 0.620887i \(0.213228\pi\)
−0.975662 + 0.219279i \(0.929630\pi\)
\(618\) 33.4304 + 57.9031i 1.34477 + 2.32921i
\(619\) 0.860017 1.48959i 0.0345670 0.0598718i −0.848224 0.529637i \(-0.822328\pi\)
0.882791 + 0.469765i \(0.155661\pi\)
\(620\) −8.63898 8.01581i −0.346950 0.321923i
\(621\) 54.5270 + 37.1759i 2.18809 + 1.49182i
\(622\) 13.8869 + 17.4136i 0.556815 + 0.698224i
\(623\) 15.8705 6.78361i 0.635839 0.271780i
\(624\) 13.8224 17.3327i 0.553337 0.693863i
\(625\) 8.19220 2.52696i 0.327688 0.101078i
\(626\) −11.1776 28.4800i −0.446745 1.13829i
\(627\) 6.44478 85.9996i 0.257380 3.43449i
\(628\) −11.1109 + 28.3100i −0.443372 + 1.12969i
\(629\) 11.3560 + 5.46876i 0.452794 + 0.218054i
\(630\) −17.9059 52.4247i −0.713387 2.08865i
\(631\) −34.8470 + 16.7814i −1.38724 + 0.668058i −0.970529 0.240983i \(-0.922530\pi\)
−0.416707 + 0.909041i \(0.636816\pi\)
\(632\) 0.0775616 + 1.03499i 0.00308524 + 0.0411696i
\(633\) 69.2889 + 21.3728i 2.75399 + 0.849492i
\(634\) 23.6347 16.1139i 0.938653 0.639963i
\(635\) −1.58160 0.238387i −0.0627637 0.00946011i
\(636\) 29.1865 1.15732
\(637\) 5.40702 + 4.44568i 0.214234 + 0.176144i
\(638\) 15.5615 0.616085
\(639\) 94.9481 + 14.3111i 3.75609 + 0.566139i
\(640\) 11.4610 7.81396i 0.453035 0.308874i
\(641\) 5.84262 + 1.80221i 0.230770 + 0.0711831i 0.407983 0.912989i \(-0.366232\pi\)
−0.177214 + 0.984172i \(0.556708\pi\)
\(642\) −2.19887 29.3418i −0.0867823 1.15803i
\(643\) −45.1476 + 21.7419i −1.78045 + 0.857418i −0.823413 + 0.567443i \(0.807933\pi\)
−0.957034 + 0.289975i \(0.906353\pi\)
\(644\) 49.1427 + 17.6088i 1.93649 + 0.693884i
\(645\) −27.5470 13.2659i −1.08466 0.522346i
\(646\) 20.9943 53.4925i 0.826009 2.10464i
\(647\) −2.42622 + 32.3756i −0.0953845 + 1.27282i 0.720031 + 0.693942i \(0.244128\pi\)
−0.815416 + 0.578876i \(0.803492\pi\)
\(648\) 57.7507 + 147.146i 2.26866 + 5.78046i
\(649\) −2.49103 + 0.768380i −0.0977814 + 0.0301616i
\(650\) −6.02828 + 7.55923i −0.236449 + 0.296497i
\(651\) −13.7772 + 15.7696i −0.539971 + 0.618061i
\(652\) 6.05387 + 7.59131i 0.237088 + 0.297299i
\(653\) −34.3555 23.4232i −1.34443 0.916620i −0.344679 0.938721i \(-0.612012\pi\)
−0.999756 + 0.0221010i \(0.992964\pi\)
\(654\) −80.5708 74.7588i −3.15057 2.92330i
\(655\) −8.96206 + 15.5227i −0.350177 + 0.606524i
\(656\) −25.9598 44.9636i −1.01356 1.75553i
\(657\) 21.2948 93.2986i 0.830789 3.63993i
\(658\) 33.8507 + 65.2232i 1.31964 + 2.54267i
\(659\) −7.41240 32.4758i −0.288746 1.26508i −0.886248 0.463211i \(-0.846697\pi\)
0.597502 0.801867i \(-0.296160\pi\)
\(660\) 50.0027 46.3957i 1.94635 1.80595i
\(661\) 11.9685 1.80396i 0.465520 0.0701659i 0.0879056 0.996129i \(-0.471983\pi\)
0.377614 + 0.925963i \(0.376745\pi\)
\(662\) −71.7107 + 10.8086i −2.78712 + 0.420090i
\(663\) −8.81884 + 8.18269i −0.342495 + 0.317789i
\(664\) 21.2882 + 93.2697i 0.826142 + 3.61956i
\(665\) 17.3250 + 3.41228i 0.671835 + 0.132323i
\(666\) 14.5496 63.7460i 0.563786 2.47011i
\(667\) −3.14460 5.44660i −0.121759 0.210893i
\(668\) 15.9100 27.5569i 0.615576 1.06621i
\(669\) −63.8404 59.2352i −2.46821 2.29017i
\(670\) 13.4869 + 9.19523i 0.521045 + 0.355243i
\(671\) −18.9941 23.8178i −0.733258 0.919476i
\(672\) 24.9349 + 34.3191i 0.961886 + 1.32389i
\(673\) −17.1941 + 21.5608i −0.662785 + 0.831107i −0.993643 0.112574i \(-0.964090\pi\)
0.330858 + 0.943681i \(0.392662\pi\)
\(674\) 3.88587 1.19863i 0.149678 0.0461696i
\(675\) −20.6653 52.6544i −0.795409 2.02667i
\(676\) 0.331654 4.42562i 0.0127559 0.170216i
\(677\) −5.24606 + 13.3668i −0.201623 + 0.513726i −0.995544 0.0942938i \(-0.969941\pi\)
0.793922 + 0.608020i \(0.208036\pi\)
\(678\) −79.1240 38.1041i −3.03874 1.46338i
\(679\) 5.56025 + 5.64393i 0.213383 + 0.216594i
\(680\) 22.4961 10.8335i 0.862686 0.415448i
\(681\) 0.893026 + 11.9166i 0.0342208 + 0.456645i
\(682\) −25.5938 7.89465i −0.980039 0.302302i
\(683\) −26.2274 + 17.8816i −1.00357 + 0.684219i −0.949321 0.314309i \(-0.898227\pi\)
−0.0542443 + 0.998528i \(0.517275\pi\)
\(684\) −203.201 30.6277i −7.76960 1.17108i
\(685\) −18.1535 −0.693608
\(686\) −38.4253 + 27.0507i −1.46708 + 1.03280i
\(687\) 67.1163 2.56065
\(688\) 58.1612 + 8.76639i 2.21738 + 0.334216i
\(689\) 1.67160 1.13968i 0.0636827 0.0434182i
\(690\) −38.2146 11.7876i −1.45481 0.448748i
\(691\) 1.39483 + 18.6127i 0.0530617 + 0.708059i 0.958775 + 0.284168i \(0.0917172\pi\)
−0.905713 + 0.423892i \(0.860664\pi\)
\(692\) 32.5620 15.6811i 1.23782 0.596104i
\(693\) −60.9108 61.8275i −2.31381 2.34863i
\(694\) −27.8879 13.4301i −1.05861 0.509800i
\(695\) 3.33775 8.50444i 0.126608 0.322592i
\(696\) 2.12580 28.3668i 0.0805782 1.07524i
\(697\) 10.2933 + 26.2268i 0.389885 + 0.993411i
\(698\) −7.63809 + 2.35604i −0.289106 + 0.0891774i
\(699\) 41.5638 52.1193i 1.57209 1.97133i
\(700\) −26.2998 36.1977i −0.994039 1.36814i
\(701\) −14.2745 17.8996i −0.539140 0.676060i 0.435410 0.900232i \(-0.356604\pi\)
−0.974549 + 0.224172i \(0.928032\pi\)
\(702\) 31.1199 + 21.2172i 1.17454 + 0.800790i
\(703\) 15.2777 + 14.1756i 0.576208 + 0.534643i
\(704\) 2.43802 4.22277i 0.0918862 0.159152i
\(705\) −19.4034 33.6077i −0.730775 1.26574i
\(706\) −14.5571 + 63.7790i −0.547866 + 2.40036i
\(707\) 14.4491 + 2.84585i 0.543413 + 0.107029i
\(708\) 1.93025 + 8.45696i 0.0725431 + 0.317832i
\(709\) −3.52535 + 3.27105i −0.132397 + 0.122847i −0.743592 0.668633i \(-0.766880\pi\)
0.611195 + 0.791480i \(0.290689\pi\)
\(710\) −34.7245 + 5.23388i −1.30319 + 0.196424i
\(711\) −1.25533 + 0.189210i −0.0470785 + 0.00709594i
\(712\) 29.5821 27.4482i 1.10864 1.02866i
\(713\) 2.40872 + 10.5533i 0.0902073 + 0.395224i
\(714\) −37.2028 71.6820i −1.39228 2.68263i
\(715\) 1.05214 4.60972i 0.0393478 0.172394i
\(716\) 1.19346 + 2.06714i 0.0446018 + 0.0772527i
\(717\) −8.99822 + 15.5854i −0.336045 + 0.582047i
\(718\) −12.6785 11.7640i −0.473159 0.439027i
\(719\) −19.8139 13.5089i −0.738935 0.503797i 0.134394 0.990928i \(-0.457091\pi\)
−0.873329 + 0.487130i \(0.838044\pi\)
\(720\) −35.0902 44.0018i −1.30774 1.63985i
\(721\) −14.1110 + 16.1517i −0.525520 + 0.601520i
\(722\) 29.1852 36.5971i 1.08616 1.36200i
\(723\) 14.4371 4.45326i 0.536922 0.165619i
\(724\) −9.43140 24.0308i −0.350515 0.893098i
\(725\) −0.402836 + 5.37548i −0.0149610 + 0.199640i
\(726\) 23.4909 59.8537i 0.871827 2.22138i
\(727\) 4.67037 + 2.24913i 0.173214 + 0.0834156i 0.518482 0.855089i \(-0.326497\pi\)
−0.345267 + 0.938504i \(0.612212\pi\)
\(728\) 15.4076 + 5.52083i 0.571042 + 0.204616i
\(729\) −43.7789 + 21.0828i −1.62144 + 0.780844i
\(730\) 2.61546 + 34.9009i 0.0968027 + 1.29174i
\(731\) −30.4999 9.40799i −1.12808 0.347967i
\(732\) −83.7570 + 57.1046i −3.09575 + 2.11065i
\(733\) −4.72458 0.712116i −0.174506 0.0263026i 0.0612077 0.998125i \(-0.480505\pi\)
−0.235714 + 0.971822i \(0.575743\pi\)
\(734\) 57.9285 2.13818
\(735\) 19.6311 15.1812i 0.724105 0.559967i
\(736\) 21.9289 0.808310
\(737\) 25.2877 + 3.81151i 0.931486 + 0.140399i
\(738\) 120.760 82.3331i 4.44526 3.03072i
\(739\) 33.3435 + 10.2851i 1.22656 + 0.378344i 0.839321 0.543636i \(-0.182953\pi\)
0.387239 + 0.921979i \(0.373429\pi\)
\(740\) 1.23187 + 16.4381i 0.0452843 + 0.604277i
\(741\) −17.9223 + 8.63090i −0.658391 + 0.317064i
\(742\) 4.38986 + 12.8526i 0.161157 + 0.471834i
\(743\) 1.45199 + 0.699243i 0.0532684 + 0.0256527i 0.460328 0.887749i \(-0.347732\pi\)
−0.407060 + 0.913401i \(0.633446\pi\)
\(744\) −17.8873 + 45.5762i −0.655781 + 1.67090i
\(745\) 1.75219 23.3814i 0.0641953 0.856626i
\(746\) −14.8147 37.7473i −0.542406 1.38203i
\(747\) −111.819 + 34.4916i −4.09124 + 1.26198i
\(748\) 44.3975 55.6728i 1.62333 2.03560i
\(749\) 8.67904 3.70972i 0.317125 0.135550i
\(750\) 49.4138 + 61.9629i 1.80434 + 2.26257i
\(751\) −18.4717 12.5938i −0.674042 0.459554i 0.177306 0.984156i \(-0.443262\pi\)
−0.851348 + 0.524602i \(0.824214\pi\)
\(752\) 54.7255 + 50.7779i 1.99563 + 1.85168i
\(753\) 45.6634 79.0914i 1.66407 2.88225i
\(754\) −1.79470 3.10851i −0.0653591 0.113205i
\(755\) 2.48989 10.9089i 0.0906164 0.397016i
\(756\) −132.959 + 112.703i −4.83567 + 4.09898i
\(757\) −6.74990 29.5733i −0.245329 1.07486i −0.936086 0.351771i \(-0.885580\pi\)
0.690757 0.723087i \(-0.257278\pi\)
\(758\) 18.6825 17.3348i 0.678578 0.629629i
\(759\) −61.9539 + 9.33804i −2.24878 + 0.338949i
\(760\) 40.8249 6.15337i 1.48088 0.223206i
\(761\) −18.1483 + 16.8392i −0.657875 + 0.610419i −0.936788 0.349897i \(-0.886216\pi\)
0.278913 + 0.960316i \(0.410026\pi\)
\(762\) 2.69163 + 11.7928i 0.0975074 + 0.427208i
\(763\) 14.3401 32.2093i 0.519145 1.16605i
\(764\) −2.20899 + 9.67821i −0.0799184 + 0.350145i
\(765\) 15.2704 + 26.4491i 0.552103 + 0.956271i
\(766\) −32.5819 + 56.4336i −1.17723 + 2.03903i
\(767\) 0.440778 + 0.408982i 0.0159156 + 0.0147675i
\(768\) −80.6333 54.9748i −2.90960 1.98373i
\(769\) 16.2409 + 20.3654i 0.585662 + 0.734397i 0.983067 0.183246i \(-0.0586606\pi\)
−0.397405 + 0.917643i \(0.630089\pi\)
\(770\) 27.9516 + 15.0410i 1.00731 + 0.542039i
\(771\) 1.98371 2.48749i 0.0714414 0.0895847i
\(772\) 75.2851 23.2224i 2.70957 0.835791i
\(773\) 8.32846 + 21.2206i 0.299554 + 0.763251i 0.998828 + 0.0483973i \(0.0154114\pi\)
&minus