Properties

Label 637.2.bl.b.534.4
Level $637$
Weight $2$
Character 637.534
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

Related objects

Downloads

Learn more

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 534.4
Character \(\chi\) \(=\) 637.534
Dual form 637.2.bl.b.235.4

$q$-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})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} + O(q^{10}) \) \( 348q + 3q^{2} + 31q^{4} + q^{5} - 4q^{6} + 27q^{7} - 12q^{8} + 13q^{9} - 5q^{10} + 2q^{11} - 40q^{12} - 58q^{13} - 45q^{14} - 14q^{15} + 27q^{16} - 12q^{17} - 59q^{18} - 24q^{19} - 99q^{20} - 2q^{21} - 10q^{22} - 14q^{23} + 28q^{25} + 3q^{26} - 9q^{27} - 37q^{28} - 26q^{29} - 83q^{30} - 49q^{31} + 33q^{32} + 2q^{33} - 130q^{34} - 38q^{35} - 74q^{36} - 4q^{37} + 92q^{38} + 24q^{40} + 20q^{41} - 52q^{42} + 2q^{43} + 226q^{44} - 23q^{45} + 71q^{46} + 24q^{47} + 86q^{48} + 25q^{49} + 114q^{50} - 54q^{51} + 31q^{52} + 36q^{53} + 75q^{54} + 38q^{55} + 126q^{56} + 27q^{57} - 33q^{58} + q^{59} - 179q^{60} - 15q^{61} + 158q^{62} - 5q^{63} - 24q^{64} + q^{65} - 150q^{66} - 151q^{67} + 140q^{68} - 98q^{69} - 126q^{70} - 31q^{71} - 149q^{72} - 9q^{73} + 39q^{74} + 85q^{75} - 81q^{76} + 46q^{77} - 25q^{78} - 69q^{79} - 64q^{80} + 71q^{81} - 52q^{82} - q^{83} - 47q^{84} + 62q^{85} + 97q^{86} + 150q^{87} - 12q^{88} + 23q^{89} + 107q^{90} - q^{91} - 43q^{92} + 316q^{93} - 86q^{94} - 29q^{95} + 177q^{96} + 114q^{97} - 336q^{98} + 102q^{99} + O(q^{100}) \)

Character values

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

\(n\) \(197\) \(248\)
\(\chi(n)\) \(1\) \(e\left(\frac{4}{21}\right)\)

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 −0.952918 0.303229i \(-0.901935\pi\)
−0.821204 + 0.570635i \(0.806697\pi\)
\(3\) 2.68579 + 1.83114i 1.55064 + 1.05721i 0.970016 + 0.243040i \(0.0781447\pi\)
0.580626 + 0.814170i \(0.302808\pi\)
\(4\) 4.24086 1.30813i 2.12043 0.654066i
\(5\) −0.0815020 + 1.08757i −0.0364488 + 0.486375i 0.948872 + 0.315661i \(0.102226\pi\)
−0.985321 + 0.170714i \(0.945393\pi\)
\(6\) −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 −0.465751 0.884916i \(-0.654216\pi\)
0.943315 0.331898i \(-0.107689\pi\)
\(12\) 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 −0.936819 0.349814i \(-0.886245\pi\)
0.278828 + 0.960341i \(0.410054\pi\)
\(18\) −9.59942 16.6267i −2.26260 3.91895i
\(19\) −3.05975 + 5.29964i −0.701955 + 1.21582i 0.265824 + 0.964022i \(0.414356\pi\)
−0.967779 + 0.251800i \(0.918977\pi\)
\(20\) 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 0.262922 0.964817i \(-0.415314\pi\)
−0.942471 + 0.334288i \(0.891504\pi\)
\(24\) −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 0.937255 0.348646i \(-0.113358\pi\)
−0.995709 + 0.0925405i \(0.970501\pi\)
\(30\) 4.49765 7.79016i 0.821155 1.42228i
\(31\) 1.21741 + 2.10861i 0.218653 + 0.378717i 0.954396 0.298543i \(-0.0965005\pi\)
−0.735744 + 0.677260i \(0.763167\pi\)
\(32\) −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 0.0154604 0.999880i \(-0.495079\pi\)
−0.550479 + 0.834849i \(0.685555\pi\)
\(38\) 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 −0.884487 0.466565i \(-0.845491\pi\)
−0.186693 + 0.982418i \(0.559777\pi\)
\(42\) 20.5429 7.36093i 3.16984 1.13582i
\(43\) 7.77025 + 3.74196i 1.18495 + 0.570643i 0.919350 0.393440i \(-0.128715\pi\)
0.265602 + 0.964083i \(0.414429\pi\)
\(44\) 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 0.699674 0.714462i \(-0.253329\pi\)
0.879181 + 0.476488i \(0.158091\pi\)
\(48\) 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 −0.159119 0.987259i \(-0.550865\pi\)
0.424673 + 0.905347i \(0.360389\pi\)
\(54\) 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 0.993515 0.113704i \(-0.0362716\pi\)
−0.999365 + 0.0356415i \(0.988653\pi\)
\(60\) −5.74814 + 14.6460i −0.742082 + 1.89079i
\(61\) −6.71464 2.07119i −0.859722 0.265189i −0.166613 0.986022i \(-0.553283\pi\)
−0.693108 + 0.720833i \(0.743759\pi\)
\(62\) −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 0.988014 0.154366i \(-0.0493334\pi\)
−0.627692 + 0.778462i \(0.716000\pi\)
\(68\) −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 −0.473937 0.880559i \(-0.657168\pi\)
0.809063 0.587722i \(-0.199975\pi\)
\(72\) −34.3122 31.8370i −4.04373 3.75203i
\(73\) 12.5062 + 1.88501i 1.46374 + 0.220624i 0.832096 0.554632i \(-0.187141\pi\)
0.631647 + 0.775256i \(0.282379\pi\)
\(74\) 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 −0.870706 0.491804i \(-0.836338\pi\)
0.861268 + 0.508152i \(0.169671\pi\)
\(80\) 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 −0.115775 + 0.993276i \(0.536935\pi\)
−0.942610 + 0.333896i \(0.891636\pi\)
\(84\) −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 0.747151 0.664654i \(-0.231421\pi\)
−0.999780 + 0.0209659i \(0.993326\pi\)
\(90\) 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 0.312482 0.949924i \(-0.398840\pi\)
−0.770097 + 0.637927i \(0.779792\pi\)
\(102\) 29.1687 8.99735i 2.88813 0.890870i
\(103\) −0.605793 + 8.08374i −0.0596905 + 0.796514i 0.884379 + 0.466769i \(0.154582\pi\)
−0.944070 + 0.329746i \(0.893037\pi\)
\(104\) −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 0.853930 0.520388i \(-0.174213\pi\)
−0.979929 + 0.199348i \(0.936117\pi\)
\(108\) 4.92313 + 65.6946i 0.473728 + 6.32147i
\(109\) 4.86853 12.4048i 0.466321 1.18817i −0.483492 0.875349i \(-0.660632\pi\)
0.949813 0.312818i \(-0.101273\pi\)
\(110\) −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 −0.364453 0.931222i \(-0.618744\pi\)
0.988972 + 0.148100i \(0.0473156\pi\)
\(114\) 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 0.987341 0.158613i \(-0.0507021\pi\)
−0.958383 + 0.285486i \(0.907845\pi\)
\(128\) 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 −0.985324 0.170692i \(-0.945400\pi\)
−0.201086 + 0.979574i \(0.564447\pi\)
\(132\) 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 0.754317 + 0.656510i \(0.227968\pi\)
−0.648045 + 0.761602i \(0.724413\pi\)
\(138\) 13.3965 + 34.1337i 1.14039 + 2.90566i
\(139\) 7.54731 3.63459i 0.640154 0.308282i −0.0855035 0.996338i \(-0.527250\pi\)
0.725658 + 0.688056i \(0.241536\pi\)
\(140\) −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 0.800168 0.599775i \(-0.204743\pi\)
0.941406 + 0.337275i \(0.109505\pi\)
\(150\) −25.9679 17.7046i −2.12027 1.44558i
\(151\) 9.80394 3.02411i 0.797833 0.246099i 0.131074 0.991373i \(-0.458157\pi\)
0.666759 + 0.745274i \(0.267681\pi\)
\(152\) 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 −0.979631 0.200805i \(-0.935644\pi\)
0.938761 0.344568i \(-0.111975\pi\)
\(158\) 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 −0.490455 0.871467i \(-0.663169\pi\)
0.632042 + 0.774934i \(0.282217\pi\)
\(164\) −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 0.998393 + 0.0566672i \(0.0180474\pi\)
−0.874934 + 0.484242i \(0.839095\pi\)
\(168\) 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 0.873691 0.486481i \(-0.161720\pi\)
−0.419829 + 0.907603i \(0.637910\pi\)
\(174\) −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 −0.665301 0.746575i \(-0.731697\pi\)
0.694770 + 0.719232i \(0.255506\pi\)
\(180\) −30.2598 + 20.6308i −2.25543 + 1.53773i
\(181\) −3.62675 + 4.54779i −0.269574 + 0.338035i −0.898131 0.439729i \(-0.855075\pi\)
0.628557 + 0.777764i \(0.283646\pi\)
\(182\) 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 −0.987886 0.155184i \(-0.950403\pi\)
0.999981 0.00621436i \(-0.00197811\pi\)
\(192\) −3.49355 + 1.07762i −0.252126 + 0.0777704i
\(193\) 14.6677 + 10.0002i 1.05580 + 0.719833i 0.961248 0.275687i \(-0.0889052\pi\)
0.0945537 + 0.995520i \(0.469858\pi\)
\(194\) 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 −0.113220 0.993570i \(-0.536117\pi\)
−0.966252 + 0.257598i \(0.917069\pi\)
\(200\) −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 −0.0221582 0.999754i \(-0.507054\pi\)
0.979619 0.200864i \(-0.0643748\pi\)
\(212\) 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 0.231259 + 0.972892i \(0.425715\pi\)
−0.630479 + 0.776206i \(0.717142\pi\)
\(224\) 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 0.798556 0.601920i \(-0.205597\pi\)
−0.920556 + 0.390610i \(0.872264\pi\)
\(228\) −64.7154 + 60.0471i −4.28588 + 3.97672i
\(229\) 17.0595 11.6310i 1.12733 0.768597i 0.151784 0.988414i \(-0.451498\pi\)
0.975541 + 0.219817i \(0.0705459\pi\)
\(230\) −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 0.860257 0.509860i \(-0.170303\pi\)
0.423564 + 0.905866i \(0.360779\pi\)
\(234\) 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 0.265547 0.964098i \(-0.414447\pi\)
−0.588196 + 0.808718i \(0.700162\pi\)
\(240\) −1.80684 + 24.1107i −0.116631 + 1.55634i
\(241\) 4.44134 1.36997i 0.286092 0.0882476i −0.148388 0.988929i \(-0.547408\pi\)
0.434480 + 0.900682i \(0.356932\pi\)
\(242\) 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 0.999491 0.0318869i \(-0.0101516\pi\)
0.598243 + 0.801315i \(0.295866\pi\)
\(252\) −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 0.323789 0.946129i \(-0.395043\pi\)
−0.265447 + 0.964125i \(0.585520\pi\)
\(258\) −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 0.732497 0.680770i \(-0.238355\pi\)
−0.955813 + 0.293976i \(0.905021\pi\)
\(264\) −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 0.297486 0.954726i \(-0.403852\pi\)
0.00285904 + 0.999996i \(0.499090\pi\)
\(270\) 40.6188 + 6.12229i 2.47198 + 0.372591i
\(271\) −19.3927 17.9938i −1.17802 1.09305i −0.993916 0.110141i \(-0.964870\pi\)
−0.184108 0.982906i \(-0.558940\pi\)
\(272\) −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 −0.273836 0.961776i \(-0.588293\pi\)
0.938623 + 0.344944i \(0.112102\pi\)
\(278\) −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 0.431585 0.902072i \(-0.357955\pi\)
−0.975492 + 0.220034i \(0.929383\pi\)
\(282\) −86.2732 26.6118i −5.13750 1.58471i
\(283\) 3.10860 7.92059i 0.184787 0.470830i −0.808220 0.588880i \(-0.799569\pi\)
0.993008 + 0.118050i \(0.0376643\pi\)
\(284\) −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 −0.999995 0.00301884i \(-0.999039\pi\)
0.219577 0.975595i \(-0.429532\pi\)
\(308\) 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 −0.841213 0.540705i \(-0.818158\pi\)
0.476329 + 0.879267i \(0.341967\pi\)
\(312\) −10.0543 17.4145i −0.569212 0.985905i
\(313\) 6.02896 10.4425i 0.340777 0.590243i −0.643800 0.765193i \(-0.722643\pi\)
0.984577 + 0.174951i \(0.0559766\pi\)
\(314\) 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 0.413102 0.910685i \(-0.364445\pi\)
−0.877267 + 0.480002i \(0.840636\pi\)
\(318\) −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 0.933010 0.359850i \(-0.117172\pi\)
0.568179 + 0.822905i \(0.307648\pi\)
\(332\) −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 0.394141 0.919050i \(-0.371042\pi\)
−0.472799 + 0.881170i \(0.656756\pi\)
\(338\) 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 0.0343895 0.999409i \(-0.489051\pi\)
0.591401 + 0.806378i \(0.298575\pi\)
\(348\) 1.52510 20.3510i 0.0817538 1.09093i
\(349\) 2.83828 + 1.36684i 0.151929 + 0.0731654i 0.508303 0.861178i \(-0.330273\pi\)
−0.356374 + 0.934343i \(0.615987\pi\)
\(350\) 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 0.776712 + 0.629856i \(0.216886\pi\)
−0.674162 + 0.738584i \(0.735495\pi\)
\(354\) −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 −0.405509 0.914091i \(-0.632906\pi\)
0.702755 + 0.711432i \(0.251953\pi\)
\(360\) 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 −0.469524 0.882920i \(-0.655574\pi\)
−0.708910 + 0.705299i \(0.750813\pi\)
\(368\) −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 −0.581549 0.813511i \(-0.697553\pi\)
0.995296 + 0.0968808i \(0.0308865\pi\)
\(374\) −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 0.594525 0.804077i \(-0.297340\pi\)
−0.916212 + 0.400695i \(0.868769\pi\)
\(380\) −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 0.942186 + 0.335091i \(0.108767\pi\)
−0.462751 + 0.886488i \(0.653138\pi\)
\(384\) 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 0.895896 0.444264i \(-0.146535\pi\)
−0.0862457 + 0.996274i \(0.527487\pi\)
\(390\) 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 0.977866 + 0.209231i \(0.0670962\pi\)
−0.998129 + 0.0611510i \(0.980523\pi\)
\(398\) 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 0.774255 0.632874i \(-0.218125\pi\)
−0.998033 + 0.0626978i \(0.980030\pi\)
\(402\) −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 −0.595907 0.803054i \(-0.703207\pi\)
0.756276 + 0.654253i \(0.227017\pi\)
\(410\) 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 −0.999989 0.00458355i \(-0.998541\pi\)
0.902948 + 0.429750i \(0.141398\pi\)
\(420\) −16.9309 38.0286i −0.826143 1.85561i
\(421\) 4.00139 + 17.5312i 0.195016 + 0.854420i 0.973850 + 0.227191i \(0.0729540\pi\)
−0.778835 + 0.627229i \(0.784189\pi\)
\(422\) −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 0.992514 0.122130i \(-0.0389723\pi\)
−0.999631 + 0.0271611i \(0.991353\pi\)
\(432\) 36.9863 + 94.2394i 1.77950 + 4.53410i
\(433\) 11.5885 5.58072i 0.556907 0.268192i −0.134188 0.990956i \(-0.542843\pi\)
0.691096 + 0.722763i \(0.257128\pi\)
\(434\) 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 −0.142246 0.989831i \(-0.545432\pi\)
0.155831 + 0.987784i \(0.450194\pi\)
\(440\) −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 −0.871534 0.490335i \(-0.836875\pi\)
−0.688286 + 0.725440i \(0.741636\pi\)
\(444\) −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 0.310291 0.950642i \(-0.399573\pi\)
0.936705 + 0.350120i \(0.113859\pi\)
\(450\) −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 −0.918710 0.394932i \(-0.870768\pi\)
0.0319896 + 0.999488i \(0.489816\pi\)
\(458\) −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 −0.965950 0.258730i \(-0.916696\pi\)
0.758032 0.652217i \(-0.226161\pi\)
\(462\) 2.83131 94.5643i 0.131724 4.39953i
\(463\) −2.59767 + 11.3811i −0.120724 + 0.528927i 0.878011 + 0.478641i \(0.158870\pi\)
−0.998735 + 0.0502859i \(0.983987\pi\)
\(464\) −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 0.433472 0.901167i \(-0.357288\pi\)
−0.866254 + 0.499605i \(0.833479\pi\)
\(468\) −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 −0.896514 0.443015i \(-0.853909\pi\)
0.958518 + 0.285032i \(0.0920042\pi\)
\(480\) −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 0.125639 0.992076i \(-0.459902\pi\)
−0.877596 + 0.479400i \(0.840854\pi\)
\(488\) 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 0.767776 + 0.640718i \(0.221363\pi\)
−0.127020 + 0.991900i \(0.540541\pi\)
\(500\) 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 0.448439 0.893813i \(-0.351980\pi\)
−0.971191 + 0.238304i \(0.923409\pi\)
\(504\) 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 −0.772799 0.634651i \(-0.781144\pi\)
0.936023 + 0.351938i \(0.114477\pi\)
\(510\) 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 0.793235 0.608915i \(-0.208395\pi\)
−0.923954 + 0.382504i \(0.875062\pi\)
\(522\) −19.9092 + 18.4731i −0.871404 + 0.808545i
\(523\) 25.4679 17.3637i 1.11363 0.759262i 0.140632 0.990062i \(-0.455087\pi\)
0.973001 + 0.230800i \(0.0741342\pi\)
\(524\) −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 −0.551860 0.833937i \(-0.686082\pi\)
−0.281536 + 0.959551i \(0.590844\pi\)
\(542\) 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 −0.759071 0.651008i \(-0.774347\pi\)
0.0357053 + 0.999362i \(0.488632\pi\)
\(548\) 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 −0.984632 0.174642i \(-0.944123\pi\)
0.341072 0.940037i \(-0.389210\pi\)
\(558\) 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 0.281765 0.959484i \(-0.409080\pi\)
−0.0135660 + 0.999908i \(0.504318\pi\)
\(564\) 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 0.486279 + 0.873804i \(0.338354\pi\)
−0.999876 + 0.0157720i \(0.994979\pi\)
\(570\) 27.5234 + 47.6719i 1.15283 + 1.99676i
\(571\) −15.5992 + 14.4740i −0.652807 + 0.605717i −0.935429 0.353515i \(-0.884986\pi\)
0.282622 + 0.959231i \(0.408796\pi\)
\(572\) 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 −0.755449 0.655208i \(-0.772581\pi\)
0.999438 + 0.0335345i \(0.0106764\pi\)
\(578\) −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 −0.991440 0.130565i \(-0.958321\pi\)
0.999826 + 0.0186596i \(0.00593987\pi\)
\(594\) −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 0.478403 + 0.878141i \(0.341216\pi\)
−0.947981 + 0.318326i \(0.896879\pi\)
\(600\) −73.2206 22.5856i −2.98922 0.922052i
\(601\) −23.2368 29.1380i −0.947848 1.18856i −0.981949 0.189145i \(-0.939428\pi\)
0.0341012 0.999418i \(-0.489143\pi\)
\(602\) 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 −0.914983 0.403493i \(-0.867796\pi\)
0.806927 + 0.590652i \(0.201129\pi\)
\(608\) −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 0.361614 0.932328i \(-0.382226\pi\)
0.0707399 + 0.997495i \(0.477464\pi\)
\(614\) 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 −0.975662 0.219279i \(-0.929630\pi\)
0.783900 0.620887i \(-0.213228\pi\)
\(618\) 33.4304 57.9031i 1.34477 2.32921i
\(619\) 0.860017 + 1.48959i 0.0345670 + 0.0598718i 0.882791 0.469765i \(-0.155661\pi\)
−0.848224 + 0.529637i \(0.822328\pi\)
\(620\) −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 −0.416707 0.909041i \(-0.636816\pi\)
−0.970529 + 0.240983i \(0.922530\pi\)
\(632\) 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 −0.177214 0.984172i \(-0.556708\pi\)
0.407983 + 0.912989i \(0.366232\pi\)
\(642\) −2.19887 + 29.3418i −0.0867823 + 1.15803i
\(643\) −45.1476 21.7419i −1.78045 0.857418i −0.957034 0.289975i \(-0.906353\pi\)
−0.823413 0.567443i \(-0.807933\pi\)
\(644\) 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 −0.815416 0.578876i \(-0.803492\pi\)
0.720031 0.693942i \(-0.244128\pi\)
\(648\) 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 −0.999756 0.0221010i \(-0.992964\pi\)
−0.344679 + 0.938721i \(0.612012\pi\)
\(654\) −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 0.597502 + 0.801867i \(0.296160\pi\)
−0.886248 + 0.463211i \(0.846697\pi\)
\(660\) 50.0027 + 46.3957i 1.94635 + 1.80595i
\(661\) 11.9685 + 1.80396i 0.465520 + 0.0701659i 0.377614 0.925963i \(-0.376745\pi\)
0.0879056 + 0.996129i \(0.471983\pi\)
\(662\) −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 0.330858 0.943681i \(-0.392662\pi\)
−0.993643 + 0.112574i \(0.964090\pi\)
\(674\) 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 0.793922 0.608020i \(-0.208036\pi\)
−0.995544 + 0.0942938i \(0.969941\pi\)
\(678\) −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 −0.0542443 0.998528i \(-0.517275\pi\)
−0.949321 + 0.314309i \(0.898227\pi\)
\(684\) −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 −0.905713 0.423892i \(-0.860664\pi\)
0.958775 0.284168i \(-0.0917172\pi\)
\(692\) 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 −0.974549 0.224172i \(-0.928032\pi\)
0.435410 + 0.900232i \(0.356604\pi\)
\(702\) 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 0.611195 0.791480i \(-0.290689\pi\)
−0.743592 + 0.668633i \(0.766880\pi\)
\(710\) −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 −0.873329 0.487130i \(-0.838044\pi\)
0.134394 + 0.990928i \(0.457091\pi\)
\(720\) −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 −0.345267 0.938504i \(-0.612212\pi\)
0.518482 + 0.855089i \(0.326497\pi\)
\(728\) 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 −0.235714 0.971822i \(-0.575743\pi\)
0.0612077 + 0.998125i \(0.480505\pi\)
\(734\) 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 0.387239 0.921979i \(-0.373429\pi\)
0.839321 + 0.543636i \(0.182953\pi\)
\(740\) 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 −0.407060 0.913401i \(-0.633446\pi\)
0.460328 + 0.887749i \(0.347732\pi\)
\(744\) −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 −0.851348 0.524602i \(-0.824214\pi\)
0.177306 + 0.984156i \(0.443262\pi\)
\(752\) 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 0.690757 + 0.723087i \(0.257278\pi\)
−0.936086 + 0.351771i \(0.885580\pi\)
\(758\) 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 0.278913 0.960316i \(-0.410026\pi\)
−0.936788 + 0.349897i \(0.886216\pi\)
\(762\) 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 −0.397405 0.917643i \(-0.630089\pi\)
0.983067 + 0.183246i \(0.0586606\pi\)
\(770\) 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 −0.699274 0.714853i