Properties

Label 503.2.c.a.2.11
Level $503$
Weight $2$
Character 503.2
Analytic conductor $4.016$
Analytic rank $0$
Dimension $10250$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 503 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 503.c (of order \(251\), degree \(250\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.01647522167\)
Analytic rank: \(0\)
Dimension: \(10250\)
Relative dimension: \(41\) over \(\Q(\zeta_{251})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{251}]$

Embedding invariants

Embedding label 2.11
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.11

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.968162 - 1.19202i) q^{2} +(0.996021 - 0.862065i) q^{3} +(-0.0734591 + 0.350630i) q^{4} +(-0.521680 - 1.64756i) q^{5} +(-1.99191 - 0.352655i) q^{6} +(0.222510 - 0.646070i) q^{7} +(-2.24135 + 1.15442i) q^{8} +(-0.181422 + 1.25171i) q^{9} +O(q^{10})\) \(q+(-0.968162 - 1.19202i) q^{2} +(0.996021 - 0.862065i) q^{3} +(-0.0734591 + 0.350630i) q^{4} +(-0.521680 - 1.64756i) q^{5} +(-1.99191 - 0.352655i) q^{6} +(0.222510 - 0.646070i) q^{7} +(-2.24135 + 1.15442i) q^{8} +(-0.181422 + 1.25171i) q^{9} +(-1.45885 + 2.21696i) q^{10} +(-5.46959 + 1.76961i) q^{11} +(0.229099 + 0.412561i) q^{12} +(-2.59529 + 0.875704i) q^{13} +(-0.985552 + 0.360264i) q^{14} +(-1.93991 - 1.19129i) q^{15} +(4.20231 + 1.84165i) q^{16} +(-2.39011 - 1.19343i) q^{17} +(1.66770 - 0.995597i) q^{18} +(-1.54810 - 3.47319i) q^{19} +(0.616008 - 0.0618881i) q^{20} +(-0.335330 - 0.835317i) q^{21} +(7.40486 + 4.80657i) q^{22} +(0.386888 - 1.33730i) q^{23} +(-1.23724 + 3.08201i) q^{24} +(1.64645 - 1.15884i) q^{25} +(3.55652 + 2.24581i) q^{26} +(3.02919 + 4.73125i) q^{27} +(0.210186 + 0.125478i) q^{28} +(0.334013 - 2.79582i) q^{29} +(0.458115 + 3.46576i) q^{30} +(-0.233659 - 2.86572i) q^{31} +(-0.532651 - 1.93136i) q^{32} +(-3.92230 + 6.47771i) q^{33} +(0.891424 + 4.00448i) q^{34} +(-1.18052 - 0.0295577i) q^{35} +(-0.425559 - 0.155561i) q^{36} +(-4.47868 - 5.65747i) q^{37} +(-2.64129 + 5.20797i) q^{38} +(-1.83005 + 3.10953i) q^{39} +(3.07125 + 3.09053i) q^{40} +(2.24137 - 11.4080i) q^{41} +(-0.671058 + 1.20844i) q^{42} +(0.279437 - 1.52277i) q^{43} +(-0.218688 - 2.04780i) q^{44} +(2.15691 - 0.354086i) q^{45} +(-1.96865 + 0.833544i) q^{46} +(-7.67646 + 0.288378i) q^{47} +(5.77321 - 1.78834i) q^{48} +(5.14758 + 4.02288i) q^{49} +(-2.97539 - 0.840655i) q^{50} +(-3.40941 + 0.871749i) q^{51} +(-0.116400 - 0.974317i) q^{52} +(-2.94975 + 6.61782i) q^{53} +(2.70698 - 8.19147i) q^{54} +(5.76892 + 8.08833i) q^{55} +(0.247113 + 1.70494i) q^{56} +(-4.53605 - 2.12480i) q^{57} +(-3.65605 + 2.30866i) q^{58} +(-1.21391 + 2.91772i) q^{59} +(0.560205 - 0.592681i) q^{60} +(-0.874408 - 1.44409i) q^{61} +(-3.18976 + 3.05300i) q^{62} +(0.768322 + 0.395729i) q^{63} +(3.54191 - 4.96595i) q^{64} +(2.79669 + 3.81907i) q^{65} +(11.5190 - 1.59602i) q^{66} +(8.52383 - 5.23442i) q^{67} +(0.594027 - 0.750375i) q^{68} +(-0.767490 - 1.66550i) q^{69} +(1.10770 + 1.43582i) q^{70} +(1.40371 + 8.89870i) q^{71} +(-1.03836 - 3.01495i) q^{72} +(-2.61101 - 2.49907i) q^{73} +(-2.40772 + 10.8160i) q^{74} +(0.640905 - 2.57358i) q^{75} +(1.33153 - 0.287673i) q^{76} +(-0.0737452 + 3.92749i) q^{77} +(5.47840 - 0.829076i) q^{78} +(-0.378289 - 6.70927i) q^{79} +(0.841981 - 7.88433i) q^{80} +(3.45757 + 1.02379i) q^{81} +(-15.7685 + 8.37302i) q^{82} +(-3.71862 - 7.11018i) q^{83} +(0.317520 - 0.0562151i) q^{84} +(-0.719377 + 4.56044i) q^{85} +(-2.08571 + 1.14119i) q^{86} +(-2.07750 - 3.07264i) q^{87} +(10.2164 - 10.2805i) q^{88} +(0.361321 + 1.37716i) q^{89} +(-2.51032 - 2.22826i) q^{90} +(-0.0117129 + 1.87159i) q^{91} +(0.440477 + 0.233891i) q^{92} +(-2.70316 - 2.65288i) q^{93} +(7.77581 + 8.87127i) q^{94} +(-4.91469 + 4.36249i) q^{95} +(-2.19549 - 1.46450i) q^{96} +(2.91483 + 12.3625i) q^{97} +(-0.188345 - 10.0308i) q^{98} +(-1.22273 - 7.16737i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} + O(q^{10}) \) \( 10250q - 249q^{2} - 249q^{3} - 285q^{4} - 245q^{5} - 237q^{6} - 247q^{7} - 239q^{8} - 280q^{9} - 233q^{10} - 239q^{11} - 239q^{12} - 245q^{13} - 223q^{14} - 231q^{15} - 263q^{16} - 243q^{17} - 217q^{18} - 229q^{19} - 195q^{20} - 215q^{21} - 233q^{22} - 241q^{23} - 181q^{24} - 280q^{25} - 215q^{26} - 237q^{27} - 185q^{28} - 217q^{29} - 159q^{30} - 219q^{31} - 185q^{32} - 209q^{33} - 167q^{34} - 187q^{35} - 203q^{36} - 237q^{37} - 161q^{38} - 197q^{39} - 135q^{40} - 209q^{41} - 117q^{42} - 221q^{43} - 147q^{44} - 167q^{45} - 167q^{46} - 195q^{47} - 141q^{48} - 234q^{49} - 145q^{50} - 177q^{51} - 179q^{52} - 211q^{53} - 83q^{54} - 165q^{55} - 125q^{56} - 177q^{57} - 205q^{58} - 189q^{59} - 27q^{60} - 193q^{61} - 143q^{62} - 159q^{63} - 185q^{64} - 155q^{65} - 97q^{66} - 201q^{67} - 155q^{68} - 113q^{69} - 123q^{70} - 153q^{71} - 21q^{72} - 213q^{73} - 83q^{74} - 161q^{75} - 97q^{76} - 139q^{77} - 43q^{78} - 191q^{79} + 3q^{80} - 188q^{81} - 97q^{82} - 161q^{83} + 67q^{84} - 159q^{85} - 121q^{86} - 121q^{87} - 143q^{88} - 155q^{89} + 115q^{90} - 137q^{91} - 119q^{92} - 123q^{93} - 99q^{94} - 181q^{95} + 67q^{96} - 229q^{97} - 63q^{98} - 85q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/503\mathbb{Z}\right)^\times\).

\(n\) \(5\)
\(\chi(n)\) \(e\left(\frac{101}{251}\right)\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.968162 1.19202i −0.684594 0.842883i 0.309557 0.950881i \(-0.399819\pi\)
−0.994151 + 0.107997i \(0.965556\pi\)
\(3\) 0.996021 0.862065i 0.575053 0.497714i −0.317742 0.948177i \(-0.602925\pi\)
0.892795 + 0.450464i \(0.148741\pi\)
\(4\) −0.0734591 + 0.350630i −0.0367296 + 0.175315i
\(5\) −0.521680 1.64756i −0.233302 0.736813i −0.995943 0.0899900i \(-0.971316\pi\)
0.762640 0.646823i \(-0.223903\pi\)
\(6\) −1.99191 0.352655i −0.813192 0.143971i
\(7\) 0.222510 0.646070i 0.0841008 0.244191i −0.895529 0.445003i \(-0.853203\pi\)
0.979630 + 0.200812i \(0.0643580\pi\)
\(8\) −2.24135 + 1.15442i −0.792437 + 0.408149i
\(9\) −0.181422 + 1.25171i −0.0604741 + 0.417236i
\(10\) −1.45885 + 2.21696i −0.461330 + 0.701064i
\(11\) −5.46959 + 1.76961i −1.64914 + 0.533558i −0.978149 0.207904i \(-0.933336\pi\)
−0.670994 + 0.741462i \(0.734133\pi\)
\(12\) 0.229099 + 0.412561i 0.0661353 + 0.119096i
\(13\) −2.59529 + 0.875704i −0.719805 + 0.242876i −0.655652 0.755064i \(-0.727606\pi\)
−0.0641533 + 0.997940i \(0.520435\pi\)
\(14\) −0.985552 + 0.360264i −0.263400 + 0.0962847i
\(15\) −1.93991 1.19129i −0.500883 0.307589i
\(16\) 4.20231 + 1.84165i 1.05058 + 0.460413i
\(17\) −2.39011 1.19343i −0.579686 0.289449i 0.132791 0.991144i \(-0.457606\pi\)
−0.712477 + 0.701695i \(0.752427\pi\)
\(18\) 1.66770 0.995597i 0.393081 0.234664i
\(19\) −1.54810 3.47319i −0.355158 0.796804i −0.999486 0.0320546i \(-0.989795\pi\)
0.644328 0.764750i \(-0.277137\pi\)
\(20\) 0.616008 0.0618881i 0.137743 0.0138386i
\(21\) −0.335330 0.835317i −0.0731749 0.182281i
\(22\) 7.40486 + 4.80657i 1.57872 + 1.02477i
\(23\) 0.386888 1.33730i 0.0806717 0.278846i −0.910100 0.414389i \(-0.863995\pi\)
0.990771 + 0.135543i \(0.0432780\pi\)
\(24\) −1.23724 + 3.08201i −0.252552 + 0.629114i
\(25\) 1.64645 1.15884i 0.329291 0.231768i
\(26\) 3.55652 + 2.24581i 0.697491 + 0.440440i
\(27\) 3.02919 + 4.73125i 0.582969 + 0.910530i
\(28\) 0.210186 + 0.125478i 0.0397214 + 0.0237132i
\(29\) 0.334013 2.79582i 0.0620246 0.519171i −0.927394 0.374085i \(-0.877957\pi\)
0.989419 0.145086i \(-0.0463460\pi\)
\(30\) 0.458115 + 3.46576i 0.0836401 + 0.632759i
\(31\) −0.233659 2.86572i −0.0419664 0.514698i −0.983878 0.178838i \(-0.942766\pi\)
0.941912 0.335860i \(-0.109027\pi\)
\(32\) −0.532651 1.93136i −0.0941603 0.341420i
\(33\) −3.92230 + 6.47771i −0.682786 + 1.12763i
\(34\) 0.891424 + 4.00448i 0.152878 + 0.686762i
\(35\) −1.18052 0.0295577i −0.199544 0.00499616i
\(36\) −0.425559 0.155561i −0.0709265 0.0259269i
\(37\) −4.47868 5.65747i −0.736290 0.930082i 0.263108 0.964766i \(-0.415252\pi\)
−0.999398 + 0.0346840i \(0.988958\pi\)
\(38\) −2.64129 + 5.20797i −0.428474 + 0.844844i
\(39\) −1.83005 + 3.10953i −0.293043 + 0.497923i
\(40\) 3.07125 + 3.09053i 0.485607 + 0.488655i
\(41\) 2.24137 11.4080i 0.350043 1.78163i −0.236420 0.971651i \(-0.575974\pi\)
0.586463 0.809976i \(-0.300520\pi\)
\(42\) −0.671058 + 1.20844i −0.103547 + 0.186466i
\(43\) 0.279437 1.52277i 0.0426137 0.232220i −0.955392 0.295340i \(-0.904567\pi\)
0.998006 + 0.0631197i \(0.0201050\pi\)
\(44\) −0.218688 2.04780i −0.0329685 0.308717i
\(45\) 2.15691 0.354086i 0.321533 0.0527840i
\(46\) −1.96865 + 0.833544i −0.290262 + 0.122899i
\(47\) −7.67646 + 0.288378i −1.11973 + 0.0420643i −0.590958 0.806702i \(-0.701250\pi\)
−0.528768 + 0.848766i \(0.677346\pi\)
\(48\) 5.77321 1.78834i 0.833292 0.258125i
\(49\) 5.14758 + 4.02288i 0.735369 + 0.574698i
\(50\) −2.97539 0.840655i −0.420784 0.118887i
\(51\) −3.40941 + 0.871749i −0.477413 + 0.122069i
\(52\) −0.116400 0.974317i −0.0161418 0.135113i
\(53\) −2.94975 + 6.61782i −0.405180 + 0.909028i 0.589668 + 0.807646i \(0.299259\pi\)
−0.994848 + 0.101382i \(0.967674\pi\)
\(54\) 2.70698 8.19147i 0.368374 1.11472i
\(55\) 5.76892 + 8.08833i 0.777881 + 1.09063i
\(56\) 0.247113 + 1.70494i 0.0330219 + 0.227832i
\(57\) −4.53605 2.12480i −0.600815 0.281437i
\(58\) −3.65605 + 2.30866i −0.480062 + 0.303142i
\(59\) −1.21391 + 2.91772i −0.158038 + 0.379855i −0.982552 0.185986i \(-0.940452\pi\)
0.824515 + 0.565840i \(0.191448\pi\)
\(60\) 0.560205 0.592681i 0.0723221 0.0765147i
\(61\) −0.874408 1.44409i −0.111956 0.184897i 0.794419 0.607370i \(-0.207776\pi\)
−0.906375 + 0.422473i \(0.861162\pi\)
\(62\) −3.18976 + 3.05300i −0.405100 + 0.387732i
\(63\) 0.768322 + 0.395729i 0.0967994 + 0.0498571i
\(64\) 3.54191 4.96595i 0.442739 0.620743i
\(65\) 2.79669 + 3.81907i 0.346887 + 0.473698i
\(66\) 11.5190 1.59602i 1.41789 0.196457i
\(67\) 8.52383 5.23442i 1.04135 0.639486i 0.106422 0.994321i \(-0.466061\pi\)
0.934929 + 0.354835i \(0.115463\pi\)
\(68\) 0.594027 0.750375i 0.0720363 0.0909964i
\(69\) −0.767490 1.66550i −0.0923949 0.200503i
\(70\) 1.10770 + 1.43582i 0.132396 + 0.171613i
\(71\) 1.40371 + 8.89870i 0.166589 + 1.05608i 0.918097 + 0.396356i \(0.129725\pi\)
−0.751507 + 0.659725i \(0.770673\pi\)
\(72\) −1.03836 3.01495i −0.122372 0.355315i
\(73\) −2.61101 2.49907i −0.305596 0.292494i 0.523009 0.852327i \(-0.324809\pi\)
−0.828605 + 0.559833i \(0.810865\pi\)
\(74\) −2.40772 + 10.8160i −0.279891 + 1.25734i
\(75\) 0.640905 2.57358i 0.0740053 0.297171i
\(76\) 1.33153 0.287673i 0.152737 0.0329984i
\(77\) −0.0737452 + 3.92749i −0.00840405 + 0.447579i
\(78\) 5.47840 0.829076i 0.620307 0.0938744i
\(79\) −0.378289 6.70927i −0.0425608 0.754851i −0.945608 0.325309i \(-0.894532\pi\)
0.903047 0.429542i \(-0.141325\pi\)
\(80\) 0.841981 7.88433i 0.0941364 0.881494i
\(81\) 3.45757 + 1.02379i 0.384174 + 0.113754i
\(82\) −15.7685 + 8.37302i −1.74134 + 0.924645i
\(83\) −3.71862 7.11018i −0.408172 0.780444i 0.591493 0.806310i \(-0.298539\pi\)
−0.999665 + 0.0258662i \(0.991766\pi\)
\(84\) 0.317520 0.0562151i 0.0346443 0.00613357i
\(85\) −0.719377 + 4.56044i −0.0780274 + 0.494649i
\(86\) −2.08571 + 1.14119i −0.224908 + 0.123058i
\(87\) −2.07750 3.07264i −0.222731 0.329421i
\(88\) 10.2164 10.2805i 1.08907 1.09591i
\(89\) 0.361321 + 1.37716i 0.0383000 + 0.145978i 0.983655 0.180065i \(-0.0576309\pi\)
−0.945355 + 0.326044i \(0.894284\pi\)
\(90\) −2.51032 2.22826i −0.264610 0.234880i
\(91\) −0.0117129 + 1.87159i −0.00122784 + 0.196196i
\(92\) 0.440477 + 0.233891i 0.0459229 + 0.0243849i
\(93\) −2.70316 2.65288i −0.280305 0.275091i
\(94\) 7.77581 + 8.87127i 0.802013 + 0.915002i
\(95\) −4.91469 + 4.36249i −0.504236 + 0.447582i
\(96\) −2.19549 1.46450i −0.224077 0.149470i
\(97\) 2.91483 + 12.3625i 0.295957 + 1.25522i 0.891914 + 0.452204i \(0.149362\pi\)
−0.595958 + 0.803016i \(0.703227\pi\)
\(98\) −0.188345 10.0308i −0.0190257 1.01326i
\(99\) −1.22273 7.16737i −0.122889 0.720348i
\(100\) 0.285377 + 0.662423i 0.0285377 + 0.0662423i
\(101\) 5.40288 2.12977i 0.537607 0.211920i −0.0822830 0.996609i \(-0.526221\pi\)
0.619890 + 0.784689i \(0.287177\pi\)
\(102\) 4.34000 + 3.22008i 0.429724 + 0.318835i
\(103\) −17.0024 + 3.45117i −1.67529 + 0.340054i −0.940903 0.338676i \(-0.890021\pi\)
−0.734389 + 0.678729i \(0.762531\pi\)
\(104\) 4.80603 4.95882i 0.471270 0.486252i
\(105\) −1.20130 + 0.988245i −0.117235 + 0.0964428i
\(106\) 10.7444 2.89097i 1.04359 0.280796i
\(107\) 6.47740 + 0.243334i 0.626194 + 0.0235239i 0.348747 0.937217i \(-0.386607\pi\)
0.277447 + 0.960741i \(0.410512\pi\)
\(108\) −1.88144 + 0.714573i −0.181042 + 0.0687598i
\(109\) −4.12760 4.36689i −0.395353 0.418272i 0.498319 0.866994i \(-0.333951\pi\)
−0.893671 + 0.448722i \(0.851879\pi\)
\(110\) 4.05617 14.7075i 0.386741 1.40230i
\(111\) −9.33796 1.77404i −0.886320 0.168385i
\(112\) 2.12489 2.30520i 0.200783 0.217821i
\(113\) −5.20397 10.5874i −0.489548 0.995977i −0.991381 0.131012i \(-0.958177\pi\)
0.501833 0.864965i \(-0.332659\pi\)
\(114\) 1.85883 + 7.46421i 0.174096 + 0.699087i
\(115\) −2.40511 + 0.0602189i −0.224278 + 0.00561544i
\(116\) 0.955763 + 0.322494i 0.0887404 + 0.0299428i
\(117\) −0.625280 3.40742i −0.0578072 0.315016i
\(118\) 4.65323 1.37782i 0.428365 0.126839i
\(119\) −1.30286 + 1.27863i −0.119433 + 0.117211i
\(120\) 5.72326 + 0.430614i 0.522460 + 0.0393095i
\(121\) 17.8695 12.9148i 1.62450 1.17407i
\(122\) −0.874813 + 2.44042i −0.0792018 + 0.220946i
\(123\) −7.60197 13.2948i −0.685447 1.19875i
\(124\) 1.02197 + 0.128585i 0.0917757 + 0.0115473i
\(125\) −9.64264 7.34329i −0.862464 0.656803i
\(126\) −0.272145 1.29898i −0.0242446 0.115723i
\(127\) 14.4343 8.13411i 1.28084 0.721785i 0.307584 0.951521i \(-0.400479\pi\)
0.973253 + 0.229736i \(0.0737862\pi\)
\(128\) −13.3477 + 0.836414i −1.17978 + 0.0739292i
\(129\) −1.03440 1.75760i −0.0910740 0.154748i
\(130\) 1.84475 7.03118i 0.161796 0.616676i
\(131\) −4.06100 + 2.70888i −0.354811 + 0.236676i −0.719560 0.694430i \(-0.755657\pi\)
0.364749 + 0.931106i \(0.381155\pi\)
\(132\) −1.98315 1.85113i −0.172611 0.161120i
\(133\) −2.58839 + 0.227362i −0.224442 + 0.0197147i
\(134\) −14.4920 5.09278i −1.25191 0.439949i
\(135\) 6.21477 7.45899i 0.534882 0.641967i
\(136\) 6.73478 0.0842989i 0.577503 0.00722858i
\(137\) 0.547186 + 1.41400i 0.0467493 + 0.120806i 0.954022 0.299738i \(-0.0968992\pi\)
−0.907272 + 0.420544i \(0.861839\pi\)
\(138\) −1.24225 + 2.52733i −0.105747 + 0.215141i
\(139\) 9.07840 + 1.96137i 0.770020 + 0.166361i 0.579113 0.815247i \(-0.303399\pi\)
0.190907 + 0.981608i \(0.438857\pi\)
\(140\) 0.0970837 0.411754i 0.00820507 0.0347996i
\(141\) −7.39731 + 6.90484i −0.622966 + 0.581492i
\(142\) 9.24838 10.2886i 0.776107 0.863402i
\(143\) 12.6455 9.38240i 1.05747 0.784596i
\(144\) −3.06760 + 4.92594i −0.255634 + 0.410495i
\(145\) −4.78054 + 0.908217i −0.397002 + 0.0754233i
\(146\) −0.451047 + 5.53187i −0.0373289 + 0.457821i
\(147\) 8.59508 0.430675i 0.708911 0.0355215i
\(148\) 2.31268 1.15477i 0.190101 0.0949212i
\(149\) 12.6237 19.7168i 1.03418 1.61526i 0.278361 0.960477i \(-0.410209\pi\)
0.755814 0.654786i \(-0.227241\pi\)
\(150\) −3.68825 + 1.72767i −0.301144 + 0.141064i
\(151\) −1.85889 2.82487i −0.151274 0.229885i 0.751778 0.659417i \(-0.229197\pi\)
−0.903052 + 0.429532i \(0.858679\pi\)
\(152\) 7.47935 + 5.99747i 0.606655 + 0.486459i
\(153\) 1.92744 2.77520i 0.155824 0.224362i
\(154\) 4.75304 3.71454i 0.383010 0.299326i
\(155\) −4.59956 + 1.87995i −0.369445 + 0.151002i
\(156\) −0.955861 0.870095i −0.0765302 0.0696633i
\(157\) −1.47172 + 3.09133i −0.117456 + 0.246715i −0.953161 0.302464i \(-0.902191\pi\)
0.835705 + 0.549179i \(0.185059\pi\)
\(158\) −7.63132 + 6.94658i −0.607115 + 0.552640i
\(159\) 2.76698 + 9.13437i 0.219436 + 0.724403i
\(160\) −2.90417 + 1.88513i −0.229595 + 0.149033i
\(161\) −0.777901 0.547518i −0.0613072 0.0431505i
\(162\) −2.12712 5.11267i −0.167122 0.401689i
\(163\) −5.01369 1.90420i −0.392703 0.149149i 0.150784 0.988567i \(-0.451820\pi\)
−0.543486 + 0.839418i \(0.682896\pi\)
\(164\) 3.83533 + 1.62391i 0.299489 + 0.126806i
\(165\) 12.7186 + 3.08295i 0.990144 + 0.240008i
\(166\) −4.87523 + 11.3165i −0.378391 + 0.878328i
\(167\) −0.300272 + 9.59306i −0.0232358 + 0.742334i 0.916421 + 0.400215i \(0.131065\pi\)
−0.939657 + 0.342118i \(0.888856\pi\)
\(168\) 1.71590 + 1.48512i 0.132384 + 0.114580i
\(169\) −4.37372 + 3.33078i −0.336440 + 0.256214i
\(170\) 6.13260 3.55773i 0.470349 0.272866i
\(171\) 4.62827 1.30765i 0.353933 0.0999988i
\(172\) 0.513402 + 0.209840i 0.0391465 + 0.0160002i
\(173\) −7.98251 16.7672i −0.606899 1.27478i −0.942948 0.332940i \(-0.891959\pi\)
0.336049 0.941845i \(-0.390909\pi\)
\(174\) −1.65128 + 5.45122i −0.125183 + 0.413256i
\(175\) −0.382340 1.32158i −0.0289022 0.0999018i
\(176\) −26.2439 2.63663i −1.97821 0.198744i
\(177\) 1.30618 + 3.95258i 0.0981788 + 0.297094i
\(178\) 1.29178 1.76401i 0.0968229 0.132218i
\(179\) 2.75182 5.10499i 0.205681 0.381565i −0.756493 0.654002i \(-0.773089\pi\)
0.962174 + 0.272437i \(0.0878297\pi\)
\(180\) −0.0342917 + 0.782289i −0.00255595 + 0.0583084i
\(181\) 1.61604 + 23.4384i 0.120120 + 1.74216i 0.546359 + 0.837551i \(0.316013\pi\)
−0.426240 + 0.904610i \(0.640162\pi\)
\(182\) 2.24231 1.79804i 0.166211 0.133280i
\(183\) −2.11583 0.684548i −0.156407 0.0506032i
\(184\) 0.676652 + 3.44398i 0.0498835 + 0.253894i
\(185\) −6.98460 + 10.3303i −0.513518 + 0.759498i
\(186\) −0.545183 + 5.79064i −0.0399748 + 0.424590i
\(187\) 15.1848 + 2.29800i 1.11042 + 0.168046i
\(188\) 0.462792 2.71278i 0.0337526 0.197850i
\(189\) 3.73074 0.904319i 0.271372 0.0657796i
\(190\) 9.95837 + 1.63480i 0.722456 + 0.118601i
\(191\) 0.276607 4.90586i 0.0200146 0.354975i −0.972504 0.232885i \(-0.925184\pi\)
0.992519 0.122091i \(-0.0389599\pi\)
\(192\) −0.753149 7.99955i −0.0543539 0.577318i
\(193\) −1.50560 0.823786i −0.108375 0.0592974i 0.424894 0.905243i \(-0.360311\pi\)
−0.533269 + 0.845946i \(0.679037\pi\)
\(194\) 11.9143 15.4434i 0.855394 1.10877i
\(195\) 6.07785 + 1.39295i 0.435244 + 0.0997511i
\(196\) −1.78868 + 1.50938i −0.127763 + 0.107813i
\(197\) −14.0646 + 1.05821i −1.00206 + 0.0753945i −0.565900 0.824474i \(-0.691471\pi\)
−0.436162 + 0.899868i \(0.643662\pi\)
\(198\) −7.35983 + 8.39669i −0.523040 + 0.596727i
\(199\) 0.103483 + 16.5355i 0.00733574 + 1.17217i 0.813892 + 0.581016i \(0.197345\pi\)
−0.806556 + 0.591157i \(0.798671\pi\)
\(200\) −2.35249 + 4.49806i −0.166346 + 0.318061i
\(201\) 3.97750 12.5617i 0.280551 0.886033i
\(202\) −7.76959 4.37836i −0.546666 0.308061i
\(203\) −1.73197 0.837893i −0.121561 0.0588086i
\(204\) −0.0552094 1.25948i −0.00386543 0.0881812i
\(205\) −19.9646 + 2.25851i −1.39439 + 0.157741i
\(206\) 20.5749 + 16.9258i 1.43352 + 1.17928i
\(207\) 1.60372 + 0.726886i 0.111466 + 0.0505221i
\(208\) −12.5190 1.09965i −0.868034 0.0762473i
\(209\) 14.6137 + 16.2574i 1.01085 + 1.12455i
\(210\) 2.34106 + 0.475192i 0.161548 + 0.0327914i
\(211\) −15.2007 + 10.4168i −1.04646 + 0.717124i −0.960247 0.279153i \(-0.909946\pi\)
−0.0862122 + 0.996277i \(0.527476\pi\)
\(212\) −2.10372 1.52041i −0.144484 0.104422i
\(213\) 9.06938 + 7.65320i 0.621423 + 0.524389i
\(214\) −5.98111 7.95675i −0.408860 0.543913i
\(215\) −2.65464 + 0.334008i −0.181045 + 0.0227792i
\(216\) −12.2513 7.10743i −0.833598 0.483599i
\(217\) −1.90344 0.486690i −0.129214 0.0330387i
\(218\) −1.20921 + 9.14803i −0.0818983 + 0.619583i
\(219\) −4.75498 0.238258i −0.321312 0.0161000i
\(220\) −3.25979 + 1.42860i −0.219775 + 0.0963160i
\(221\) 7.24812 + 1.00427i 0.487561 + 0.0675545i
\(222\) 6.92597 + 12.8486i 0.464841 + 0.862340i
\(223\) 5.90963 2.85896i 0.395738 0.191450i −0.226974 0.973901i \(-0.572883\pi\)
0.622712 + 0.782451i \(0.286031\pi\)
\(224\) −1.36632 0.0856179i −0.0912908 0.00572059i
\(225\) 1.15183 + 2.27112i 0.0767884 + 0.151408i
\(226\) −7.58205 + 16.4535i −0.504351 + 1.09447i
\(227\) −17.2343 + 3.94983i −1.14388 + 0.262160i −0.752834 0.658211i \(-0.771314\pi\)
−0.391048 + 0.920370i \(0.627887\pi\)
\(228\) 1.07824 1.43439i 0.0714079 0.0949949i
\(229\) 11.3619 19.8704i 0.750817 1.31308i −0.192538 0.981290i \(-0.561672\pi\)
0.943355 0.331785i \(-0.107651\pi\)
\(230\) 2.40032 + 2.80864i 0.158273 + 0.185196i
\(231\) 3.31230 + 3.97544i 0.217933 + 0.261565i
\(232\) 2.47891 + 6.65200i 0.162749 + 0.436725i
\(233\) 28.4949 + 0.356669i 1.86676 + 0.0233662i 0.937870 0.346988i \(-0.112796\pi\)
0.928891 + 0.370354i \(0.120764\pi\)
\(234\) −3.45633 + 4.04428i −0.225947 + 0.264383i
\(235\) 4.47977 + 12.4970i 0.292228 + 0.815215i
\(236\) −0.933868 0.639967i −0.0607896 0.0416583i
\(237\) −6.16061 6.35646i −0.400175 0.412896i
\(238\) 2.78552 + 0.315114i 0.180559 + 0.0204258i
\(239\) −0.563524 + 8.17310i −0.0364513 + 0.528674i 0.943749 + 0.330664i \(0.107273\pi\)
−0.980200 + 0.198010i \(0.936552\pi\)
\(240\) −5.95817 8.57879i −0.384598 0.553759i
\(241\) 11.5295 + 3.57145i 0.742682 + 0.230057i 0.643961 0.765058i \(-0.277290\pi\)
0.0987211 + 0.995115i \(0.468525\pi\)
\(242\) −32.6952 8.79722i −2.10173 0.565507i
\(243\) −11.0241 + 4.99670i −0.707198 + 0.320538i
\(244\) 0.570575 0.200512i 0.0365273 0.0128365i
\(245\) 3.94257 10.5796i 0.251881 0.675907i
\(246\) −8.48768 + 21.9332i −0.541155 + 1.39841i
\(247\) 7.05926 + 7.65827i 0.449170 + 0.487284i
\(248\) 3.83195 + 6.15333i 0.243329 + 0.390737i
\(249\) −9.83326 3.87619i −0.623158 0.245644i
\(250\) 0.582313 + 18.6037i 0.0368287 + 1.17660i
\(251\) −6.88347 + 8.47504i −0.434481 + 0.534940i −0.945929 0.324374i \(-0.894846\pi\)
0.511448 + 0.859314i \(0.329109\pi\)
\(252\) −0.195195 + 0.240327i −0.0122961 + 0.0151392i
\(253\) 0.250380 + 7.99911i 0.0157413 + 0.502900i
\(254\) −23.6707 9.33081i −1.48523 0.585467i
\(255\) 3.21488 + 5.16244i 0.201324 + 0.323285i
\(256\) 5.65151 + 6.13107i 0.353219 + 0.383192i
\(257\) −5.07416 + 13.1122i −0.316517 + 0.817919i 0.679897 + 0.733308i \(0.262025\pi\)
−0.996414 + 0.0846114i \(0.973035\pi\)
\(258\) −1.09362 + 2.93467i −0.0680861 + 0.182704i
\(259\) −4.65167 + 1.63469i −0.289041 + 0.101575i
\(260\) −1.54452 + 0.700058i −0.0957874 + 0.0434157i
\(261\) 3.43895 + 0.925310i 0.212866 + 0.0572753i
\(262\) 7.16073 + 2.21815i 0.442392 + 0.137037i
\(263\) −9.62191 13.8540i −0.593313 0.854273i 0.404880 0.914370i \(-0.367313\pi\)
−0.998193 + 0.0600965i \(0.980859\pi\)
\(264\) 1.31325 19.0468i 0.0808250 1.17225i
\(265\) 12.4421 + 1.40752i 0.764313 + 0.0864634i
\(266\) 2.77700 + 2.86528i 0.170269 + 0.175682i
\(267\) 1.54708 + 1.06019i 0.0946799 + 0.0648829i
\(268\) 1.20919 + 3.37323i 0.0738632 + 0.206053i
\(269\) 15.4820 18.1156i 0.943952 1.10453i −0.0504350 0.998727i \(-0.516061\pi\)
0.994388 0.105799i \(-0.0337400\pi\)
\(270\) −14.9081 0.186605i −0.907281 0.0113564i
\(271\) 2.96259 + 7.94992i 0.179965 + 0.482923i 0.995387 0.0959435i \(-0.0305868\pi\)
−0.815422 + 0.578867i \(0.803495\pi\)
\(272\) −7.84609 9.41690i −0.475739 0.570983i
\(273\) 1.60177 + 1.87424i 0.0969434 + 0.113434i
\(274\) 1.15574 2.02123i 0.0698210 0.122107i
\(275\) −6.95472 + 9.25197i −0.419386 + 0.557915i
\(276\) 0.640353 0.146759i 0.0385447 0.00883385i
\(277\) −2.06718 + 4.48590i −0.124205 + 0.269532i −0.960257 0.279119i \(-0.909958\pi\)
0.836052 + 0.548650i \(0.184858\pi\)
\(278\) −6.45138 12.7205i −0.386928 0.762927i
\(279\) 3.62943 + 0.227432i 0.217288 + 0.0136160i
\(280\) 2.68008 1.29657i 0.160165 0.0774846i
\(281\) 3.65824 + 6.78651i 0.218232 + 0.404849i 0.965781 0.259357i \(-0.0835107\pi\)
−0.747549 + 0.664206i \(0.768770\pi\)
\(282\) 15.3925 + 2.13272i 0.916609 + 0.127002i
\(283\) −22.6549 + 9.92846i −1.34669 + 0.590186i −0.945444 0.325783i \(-0.894372\pi\)
−0.401249 + 0.915969i \(0.631424\pi\)
\(284\) −3.22327 0.161509i −0.191266 0.00958377i
\(285\) −1.13438 + 8.58191i −0.0671950 + 0.508348i
\(286\) −23.4269 5.99001i −1.38526 0.354197i
\(287\) −6.87162 3.98647i −0.405619 0.235314i
\(288\) 2.51414 0.316331i 0.148147 0.0186400i
\(289\) −5.92646 7.88405i −0.348615 0.463768i
\(290\) 5.71095 + 4.81919i 0.335359 + 0.282992i
\(291\) 13.5605 + 9.80051i 0.794931 + 0.574516i
\(292\) 1.06805 0.731921i 0.0625030 0.0428324i
\(293\) 16.4589 + 3.34085i 0.961539 + 0.195175i 0.654113 0.756397i \(-0.273042\pi\)
0.307426 + 0.951572i \(0.400532\pi\)
\(294\) −8.83481 9.82853i −0.515256 0.573211i
\(295\) 5.44040 + 0.477879i 0.316752 + 0.0278232i
\(296\) 16.5694 + 7.51009i 0.963075 + 0.436515i
\(297\) −24.9409 20.5175i −1.44722 1.19055i
\(298\) −35.7246 + 4.04136i −2.06947 + 0.234110i
\(299\) 0.166989 + 3.80948i 0.00965722 + 0.220308i
\(300\) 0.855294 + 0.413773i 0.0493804 + 0.0238892i
\(301\) −0.921638 0.519367i −0.0531223 0.0299358i
\(302\) −1.56759 + 4.95076i −0.0902049 + 0.284884i
\(303\) 3.54538 6.77893i 0.203677 0.389439i
\(304\) −0.109184 17.4465i −0.00626214 1.00062i
\(305\) −1.92307 + 2.19400i −0.110115 + 0.125628i
\(306\) −5.17416 + 0.389300i −0.295787 + 0.0222548i
\(307\) 10.5550 8.90686i 0.602407 0.508341i −0.291514 0.956567i \(-0.594159\pi\)
0.893921 + 0.448225i \(0.147944\pi\)
\(308\) −1.37168 0.314367i −0.0781587 0.0179127i
\(309\) −13.9596 + 18.0946i −0.794132 + 1.02936i
\(310\) 6.69405 + 3.66265i 0.380197 + 0.208024i
\(311\) 2.29577 + 24.3844i 0.130181 + 1.38271i 0.781498 + 0.623907i \(0.214456\pi\)
−0.651317 + 0.758806i \(0.725783\pi\)
\(312\) 0.512081 9.08219i 0.0289909 0.514178i
\(313\) 10.4888 + 1.72188i 0.592865 + 0.0973266i 0.450945 0.892552i \(-0.351087\pi\)
0.141919 + 0.989878i \(0.454673\pi\)
\(314\) 5.10978 1.23859i 0.288361 0.0698978i
\(315\) 0.251170 1.47230i 0.0141518 0.0829548i
\(316\) 2.38026 + 0.360217i 0.133900 + 0.0202638i
\(317\) 2.39095 25.3954i 0.134289 1.42635i −0.627548 0.778578i \(-0.715941\pi\)
0.761837 0.647769i \(-0.224298\pi\)
\(318\) 8.20944 12.1418i 0.460363 0.680880i
\(319\) 3.12061 + 15.8831i 0.174721 + 0.889282i
\(320\) −10.0295 3.24490i −0.560664 0.181395i
\(321\) 6.66139 5.34157i 0.371803 0.298138i
\(322\) 0.100483 + 1.45736i 0.00559969 + 0.0812154i
\(323\) −0.444875 + 10.1488i −0.0247535 + 0.564696i
\(324\) −0.612960 + 1.13712i −0.0340534 + 0.0631734i
\(325\) −3.25823 + 4.44934i −0.180734 + 0.246805i
\(326\) 2.58422 + 7.81998i 0.143127 + 0.433109i
\(327\) −7.87572 0.791245i −0.435528 0.0437560i
\(328\) 8.14591 + 28.1567i 0.449782 + 1.55470i
\(329\) −1.52178 + 5.02369i −0.0838982 + 0.276965i
\(330\) −8.63876 18.1456i −0.475548 0.998884i
\(331\) −0.660682 0.270038i −0.0363144 0.0148426i 0.360113 0.932909i \(-0.382738\pi\)
−0.396427 + 0.918066i \(0.629750\pi\)
\(332\) 2.76621 0.781554i 0.151816 0.0428933i
\(333\) 7.89403 4.57960i 0.432590 0.250961i
\(334\) 11.7258 8.92971i 0.641608 0.488612i
\(335\) −13.0707 11.3129i −0.714131 0.618087i
\(336\) 0.129205 4.12782i 0.00704870 0.225191i
\(337\) −0.776730 + 1.80296i −0.0423112 + 0.0982135i −0.938241 0.345981i \(-0.887546\pi\)
0.895930 + 0.444195i \(0.146510\pi\)
\(338\) 8.20482 + 1.98882i 0.446283 + 0.108178i
\(339\) −14.3103 6.05909i −0.777227 0.329085i
\(340\) −1.54618 0.587241i −0.0838535 0.0318476i
\(341\) 6.34923 + 15.2608i 0.343830 + 0.826419i
\(342\) −6.03967 4.25096i −0.326588 0.229866i
\(343\) 7.75651 5.03484i 0.418812 0.271856i
\(344\) 1.13160 + 3.73564i 0.0610118 + 0.201412i
\(345\) −2.34363 + 2.13335i −0.126177 + 0.114855i
\(346\) −12.2584 + 25.7486i −0.659016 + 1.38425i
\(347\) −6.39621 5.82230i −0.343366 0.312557i 0.483076 0.875578i \(-0.339519\pi\)
−0.826442 + 0.563021i \(0.809639\pi\)
\(348\) 1.22997 0.502720i 0.0659333 0.0269486i
\(349\) 9.58641 7.49187i 0.513149 0.401031i −0.325635 0.945496i \(-0.605578\pi\)
0.838784 + 0.544465i \(0.183267\pi\)
\(350\) −1.20518 + 1.73526i −0.0644193 + 0.0927533i
\(351\) −12.0048 9.62631i −0.640770 0.513815i
\(352\) 6.33115 + 9.62119i 0.337451 + 0.512811i
\(353\) 17.0624 7.99248i 0.908141 0.425397i 0.0870567 0.996203i \(-0.472254\pi\)
0.821085 + 0.570807i \(0.193369\pi\)
\(354\) 3.44694 5.38373i 0.183203 0.286142i
\(355\) 13.9289 6.95497i 0.739268 0.369131i
\(356\) −0.509415 + 0.0255253i −0.0269990 + 0.00135284i
\(357\) −0.195416 + 2.39669i −0.0103425 + 0.126846i
\(358\) −8.74944 + 1.66224i −0.462423 + 0.0878520i
\(359\) 10.7055 17.1908i 0.565015 0.907298i −0.434962 0.900449i \(-0.643238\pi\)
0.999977 0.00684920i \(-0.00218019\pi\)
\(360\) −4.42563 + 3.28361i −0.233251 + 0.173061i
\(361\) 3.03527 3.37667i 0.159751 0.177719i
\(362\) 26.3744 24.6185i 1.38621 1.29392i
\(363\) 6.66507 28.2681i 0.349825 1.48369i
\(364\) −0.655376 0.141592i −0.0343511 0.00742146i
\(365\) −2.75526 + 5.60552i −0.144217 + 0.293407i
\(366\) 1.23247 + 3.18486i 0.0644224 + 0.166475i
\(367\) −14.3747 + 0.179928i −0.750355 + 0.00939217i −0.386779 0.922172i \(-0.626412\pi\)
−0.363576 + 0.931564i \(0.618444\pi\)
\(368\) 4.08866 4.90723i 0.213136 0.255807i
\(369\) 13.8728 + 4.87520i 0.722190 + 0.253793i
\(370\) 19.0761 1.67563i 0.991720 0.0871117i
\(371\) 3.61923 + 3.37828i 0.187901 + 0.175391i
\(372\) 1.12875 0.752932i 0.0585231 0.0390377i
\(373\) 7.43361 28.3328i 0.384898 1.46702i −0.438076 0.898938i \(-0.644340\pi\)
0.822973 0.568080i \(-0.192314\pi\)
\(374\) −11.9621 20.3254i −0.618545 1.05100i
\(375\) −15.9347 + 0.998519i −0.822862 + 0.0515633i
\(376\) 16.8727 9.50821i 0.870144 0.490349i
\(377\) 1.58145 + 7.54848i 0.0814489 + 0.388766i
\(378\) −4.68993 3.57158i −0.241224 0.183702i
\(379\) −8.73064 1.09850i −0.448463 0.0564259i −0.102625 0.994720i \(-0.532724\pi\)
−0.345838 + 0.938294i \(0.612405\pi\)
\(380\) −1.16859 2.04370i −0.0599474 0.104840i
\(381\) 7.36474 20.5450i 0.377307 1.05255i
\(382\) −6.11566 + 4.41994i −0.312905 + 0.226144i
\(383\) −8.79852 0.661995i −0.449584 0.0338264i −0.151696 0.988427i \(-0.548473\pi\)
−0.297888 + 0.954601i \(0.596282\pi\)
\(384\) −12.5736 + 12.3397i −0.641643 + 0.629708i
\(385\) 6.50926 1.92739i 0.331743 0.0982291i
\(386\) 0.475693 + 2.59226i 0.0242122 + 0.131942i
\(387\) 1.85537 + 0.626037i 0.0943135 + 0.0318233i
\(388\) −4.54878 + 0.113892i −0.230929 + 0.00578197i
\(389\) −6.23838 25.0505i −0.316298 1.27011i −0.891846 0.452340i \(-0.850589\pi\)
0.575547 0.817769i \(-0.304789\pi\)
\(390\) −4.22393 8.59350i −0.213887 0.435149i
\(391\) −2.52067 + 2.73456i −0.127476 + 0.138293i
\(392\) −16.1816 3.07422i −0.817295 0.155271i
\(393\) −1.70961 + 6.19894i −0.0862383 + 0.312695i
\(394\) 14.8782 + 15.7407i 0.749554 + 0.793007i
\(395\) −10.8566 + 4.12334i −0.546255 + 0.207468i
\(396\) 2.60292 + 0.0977827i 0.130802 + 0.00491376i
\(397\) −29.6140 + 7.96816i −1.48628 + 0.399911i −0.909057 0.416673i \(-0.863196\pi\)
−0.577227 + 0.816583i \(0.695865\pi\)
\(398\) 19.6105 16.1324i 0.982984 0.808646i
\(399\) −2.38209 + 2.45782i −0.119254 + 0.123045i
\(400\) 9.05309 1.83761i 0.452654 0.0918805i
\(401\) 22.2937 + 16.5409i 1.11330 + 0.826013i 0.986148 0.165870i \(-0.0530433\pi\)
0.127147 + 0.991884i \(0.459418\pi\)
\(402\) −18.8246 + 7.42050i −0.938886 + 0.370101i
\(403\) 3.11593 + 7.23276i 0.155216 + 0.360289i
\(404\) 0.349871 + 2.05086i 0.0174067 + 0.102034i
\(405\) −0.116991 6.23065i −0.00581332 0.309604i
\(406\) 0.678049 + 2.87576i 0.0336510 + 0.142722i
\(407\) 34.5081 + 23.0185i 1.71050 + 1.14099i
\(408\) 6.63531 5.88978i 0.328497 0.291588i
\(409\) 15.3654 + 17.5301i 0.759768 + 0.866806i 0.994444 0.105268i \(-0.0335701\pi\)
−0.234676 + 0.972074i \(0.575403\pi\)
\(410\) 22.0212 + 21.6116i 1.08755 + 1.06732i
\(411\) 1.76397 + 0.936659i 0.0870100 + 0.0462020i
\(412\) 0.0388953 6.21506i 0.00191623 0.306194i
\(413\) 1.61494 + 1.43349i 0.0794661 + 0.0705375i
\(414\) −0.686195 2.61540i −0.0337247 0.128540i
\(415\) −9.77454 + 9.83590i −0.479813 + 0.482826i
\(416\) 3.07369 + 4.54601i 0.150700 + 0.222887i
\(417\) 10.7331 5.87261i 0.525602 0.287583i
\(418\) 5.23068 33.1595i 0.255841 1.62189i
\(419\) −19.6067 + 3.47125i −0.957849 + 0.169581i −0.631248 0.775581i \(-0.717457\pi\)
−0.326601 + 0.945162i \(0.605903\pi\)
\(420\) −0.258262 0.493808i −0.0126019 0.0240954i
\(421\) −21.0870 + 11.1971i −1.02772 + 0.545715i −0.895293 0.445478i \(-0.853034\pi\)
−0.132426 + 0.991193i \(0.542277\pi\)
\(422\) 27.1338 + 8.03431i 1.32085 + 0.391104i
\(423\) 1.03172 9.66100i 0.0501637 0.469734i
\(424\) −1.02832 18.2381i −0.0499396 0.885721i
\(425\) −5.31819 + 0.804830i −0.257970 + 0.0390400i
\(426\) 0.342118 18.2204i 0.0165757 0.882781i
\(427\) −1.12755 + 0.243604i −0.0545659 + 0.0117888i
\(428\) −0.561144 + 2.25330i −0.0271239 + 0.108917i
\(429\) 4.50697 20.2463i 0.217599 0.977503i
\(430\) 2.96826 + 2.84100i 0.143142 + 0.137005i
\(431\) 7.71586 + 22.4034i 0.371660 + 1.07914i 0.962251 + 0.272164i \(0.0877393\pi\)
−0.590591 + 0.806971i \(0.701105\pi\)
\(432\) 4.01628 + 25.4609i 0.193233 + 1.22499i
\(433\) −19.5850 25.3863i −0.941194 1.21999i −0.975371 0.220573i \(-0.929207\pi\)
0.0341762 0.999416i \(-0.489119\pi\)
\(434\) 1.26270 + 2.74013i 0.0606115 + 0.131531i
\(435\) −3.97858 + 5.02574i −0.190758 + 0.240966i
\(436\) 1.83437 1.12647i 0.0878505 0.0539484i
\(437\) −5.24363 + 0.726536i −0.250837 + 0.0347549i
\(438\) 4.31959 + 5.89869i 0.206398 + 0.281850i
\(439\) 19.4879 27.3230i 0.930106 1.30406i −0.0224680 0.999748i \(-0.507152\pi\)
0.952574 0.304308i \(-0.0984253\pi\)
\(440\) −22.2675 11.4690i −1.06156 0.546763i
\(441\) −5.96936 + 5.71342i −0.284255 + 0.272068i
\(442\) −5.82024 9.61217i −0.276841 0.457205i
\(443\) 6.83382 7.22999i 0.324685 0.343507i −0.543807 0.839210i \(-0.683018\pi\)
0.868492 + 0.495703i \(0.165090\pi\)
\(444\) 1.30799 3.14385i 0.0620746 0.149201i
\(445\) 2.08046 1.31373i 0.0986233 0.0622770i
\(446\) −9.12941 4.27645i −0.432290 0.202496i
\(447\) −4.42368 30.5208i −0.209233 1.44358i
\(448\) −2.42024 3.39330i −0.114345 0.160318i
\(449\) 2.92945 8.86465i 0.138249 0.418349i −0.857046 0.515240i \(-0.827703\pi\)
0.995295 + 0.0968914i \(0.0308900\pi\)
\(450\) 1.59206 3.57180i 0.0750502 0.168376i
\(451\) 7.92833 + 66.3633i 0.373330 + 3.12493i
\(452\) 4.09453 1.04693i 0.192591 0.0492434i
\(453\) −4.28671 1.21115i −0.201407 0.0569048i
\(454\) 21.3939 + 16.7195i 1.00406 + 0.784686i
\(455\) 3.08968 0.957074i 0.144846 0.0448683i
\(456\) 12.6198 0.474083i 0.590976 0.0222010i
\(457\) 30.9605 13.1089i 1.44827 0.613210i 0.483274 0.875469i \(-0.339448\pi\)
0.964998 + 0.262259i \(0.0844674\pi\)
\(458\) −34.6861 + 5.69418i −1.62077 + 0.266072i
\(459\) −1.59369 14.9233i −0.0743870 0.696561i
\(460\) 0.155563 0.847729i 0.00725317 0.0395256i
\(461\) 6.84017 12.3178i 0.318579 0.573696i −0.666561 0.745450i \(-0.732234\pi\)
0.985140 + 0.171755i \(0.0549436\pi\)
\(462\) 1.53194 7.79719i 0.0712725 0.362758i
\(463\) −29.5573 29.7428i −1.37364 1.38227i −0.846394 0.532557i \(-0.821231\pi\)
−0.527249 0.849711i \(-0.676777\pi\)
\(464\) 6.55256 11.1338i 0.304195 0.516873i
\(465\) −2.96061 + 5.83759i −0.137295 + 0.270712i
\(466\) −27.1625 34.3117i −1.25828 1.58946i
\(467\) 1.36183 + 0.497810i 0.0630178 + 0.0230359i 0.374642 0.927169i \(-0.377766\pi\)
−0.311625 + 0.950205i \(0.600873\pi\)
\(468\) 1.24068 + 0.0310639i 0.0573503 + 0.00143593i
\(469\) −1.48516 6.67169i −0.0685785 0.308070i
\(470\) 10.5595 17.4391i 0.487074 0.804406i
\(471\) 1.19906 + 4.34774i 0.0552500 + 0.200333i
\(472\) −0.647476 7.94099i −0.0298025 0.365514i
\(473\) 1.16631 + 8.82342i 0.0536268 + 0.405701i
\(474\) −1.61254 + 13.4976i −0.0740665 + 0.619967i
\(475\) −6.57375 3.92444i −0.301624 0.180066i
\(476\) −0.352618 0.550748i −0.0161622 0.0252435i
\(477\) −7.74843 4.89285i −0.354776 0.224028i
\(478\) 10.2881 7.24116i 0.470565 0.331203i
\(479\) −4.35163 + 10.8400i −0.198831 + 0.495294i −0.993777 0.111386i \(-0.964471\pi\)
0.794946 + 0.606680i \(0.207499\pi\)
\(480\) −1.26751 + 4.38121i −0.0578537 + 0.199974i
\(481\) 16.5777 + 10.7608i 0.755880 + 0.490650i
\(482\) −6.90523 17.2011i −0.314525 0.783490i
\(483\) −1.24680 + 0.125262i −0.0567315 + 0.00569961i
\(484\) 3.21562 + 7.21431i 0.146165 + 0.327923i
\(485\) 18.8474 11.2516i 0.855815 0.510910i
\(486\) 16.6293 + 8.30334i 0.754320 + 0.376647i
\(487\) −25.8486 11.3281i −1.17131 0.513325i −0.277044 0.960857i \(-0.589355\pi\)
−0.894268 + 0.447532i \(0.852303\pi\)
\(488\) 3.62694 + 2.22728i 0.164184 + 0.100824i
\(489\) −6.63529 + 2.42550i −0.300058 + 0.109685i
\(490\) −16.4281 + 5.54318i −0.742148 + 0.250415i
\(491\) 12.9835 + 23.3806i 0.585936 + 1.05515i 0.990086 + 0.140459i \(0.0448579\pi\)
−0.404151 + 0.914692i \(0.632433\pi\)
\(492\) 5.21999 1.68886i 0.235335 0.0761395i
\(493\) −4.13494 + 6.28369i −0.186228 + 0.283003i
\(494\) 2.29428 15.8292i 0.103225 0.712189i
\(495\) −11.1708 + 5.75360i −0.502091 + 0.258605i
\(496\) 4.29575 12.4730i 0.192885 0.560052i
\(497\) 6.06152 + 1.07316i 0.271896 + 0.0481376i
\(498\) 4.89971 + 15.4742i 0.219561 + 0.693415i
\(499\) −8.34656 + 39.8392i −0.373643 + 1.78345i 0.216639 + 0.976252i \(0.430491\pi\)
−0.590282 + 0.807197i \(0.700983\pi\)
\(500\) 3.28312 2.84157i 0.146825 0.127079i
\(501\) 7.97077 + 9.81374i 0.356108 + 0.438446i
\(502\) 16.7667 0.748335
\(503\) −7.12663 21.2653i −0.317761 0.948171i
\(504\) −2.17891 −0.0970565
\(505\) −6.32751 7.79053i −0.281570 0.346674i
\(506\) 9.29267 8.04289i 0.413110 0.357550i
\(507\) −1.48497 + 7.08796i −0.0659499 + 0.314787i
\(508\) 1.79173 + 5.65863i 0.0794952 + 0.251061i
\(509\) 1.65554 + 0.293103i 0.0733804 + 0.0129916i 0.210902 0.977507i \(-0.432360\pi\)
−0.137522 + 0.990499i \(0.543914\pi\)
\(510\) 3.04119 8.83027i 0.134666 0.391011i
\(511\) −2.19555 + 1.13083i −0.0971253 + 0.0500250i
\(512\) −1.99998 + 13.7987i −0.0883873 + 0.609821i
\(513\) 11.7430 17.8454i 0.518468 0.787894i
\(514\) 20.5426 6.64629i 0.906097 0.293155i
\(515\) 14.5558 + 26.2121i 0.641405 + 1.15504i
\(516\) 0.692255 0.233580i 0.0304748 0.0102828i
\(517\) 41.4768 15.1617i 1.82415 0.666809i
\(518\) 6.45215 + 3.96222i 0.283491 + 0.174090i
\(519\) −22.4051 9.81901i −0.983477 0.431007i
\(520\) −10.6772 5.33132i −0.468225 0.233794i
\(521\) −8.45705 + 5.04875i −0.370510 + 0.221190i −0.685774 0.727814i \(-0.740536\pi\)
0.315264 + 0.949004i \(0.397907\pi\)
\(522\) −2.22648 4.99514i −0.0974503 0.218631i
\(523\) −23.5248 + 2.36345i −1.02867 + 0.103347i −0.599905 0.800071i \(-0.704795\pi\)
−0.428762 + 0.903418i \(0.641050\pi\)
\(524\) −0.651497 1.62290i −0.0284608 0.0708967i
\(525\) −1.52010 0.986716i −0.0663427 0.0430638i
\(526\) −7.19862 + 24.8824i −0.313875 + 1.08492i
\(527\) −2.86156 + 7.12822i −0.124651 + 0.310510i
\(528\) −28.4124 + 19.9978i −1.23649 + 0.870294i
\(529\) 17.8086 + 11.2455i 0.774286 + 0.488933i
\(530\) −10.3682 16.1939i −0.450365 0.703419i
\(531\) −3.43190 2.04880i −0.148932 0.0889103i
\(532\) 0.110421 0.924269i 0.00478736 0.0400721i
\(533\) 4.17300 + 31.5698i 0.180753 + 1.36744i
\(534\) −0.234056 2.87059i −0.0101286 0.124223i
\(535\) −2.97822 10.7989i −0.128760 0.466876i
\(536\) −13.0622 + 21.5722i −0.564199 + 0.931779i
\(537\) −1.65996 7.45693i −0.0716326 0.321790i
\(538\) −36.5831 0.915963i −1.57721 0.0394900i
\(539\) −35.2741 12.8943i −1.51936 0.555397i
\(540\) 2.15881 + 2.72702i 0.0929006 + 0.117352i
\(541\) −5.94568 + 11.7234i −0.255625 + 0.504029i −0.983323 0.181868i \(-0.941785\pi\)
0.727698 + 0.685898i \(0.240590\pi\)
\(542\) 6.60817 11.2283i 0.283845 0.482295i
\(543\) 21.8150 + 21.9520i 0.936172 + 0.942050i
\(544\) −1.03185 + 5.25185i −0.0442402 + 0.225171i
\(545\) −5.04143 + 9.07861i −0.215951 + 0.388885i
\(546\) 0.683358 3.72391i 0.0292450 0.159368i
\(547\) −1.59145 14.9024i −0.0680457 0.637181i −0.975949 0.218000i \(-0.930047\pi\)
0.907903 0.419180i \(-0.137682\pi\)
\(548\) −0.535986 + 0.0879891i −0.0228962 + 0.00375871i
\(549\) 1.96622 0.832512i 0.0839161 0.0355308i
\(550\) 17.7618 0.667250i 0.757366 0.0284516i
\(551\) −10.2275 + 3.16812i −0.435706 + 0.134967i
\(552\) 3.64290 + 2.84696i 0.155052 + 0.121175i
\(553\) −4.41883 1.24848i −0.187908 0.0530906i
\(554\) 7.34864 1.87897i 0.312214 0.0798297i
\(555\) 1.94857 + 16.3104i 0.0827124 + 0.692337i
\(556\) −1.35461 + 3.03908i −0.0574481 + 0.128886i
\(557\) −7.86547 + 23.8013i −0.333271 + 1.00849i 0.637902 + 0.770117i \(0.279802\pi\)
−0.971173 + 0.238376i \(0.923385\pi\)
\(558\) −3.24277 4.54653i −0.137277 0.192470i
\(559\) 0.608274 + 4.19674i 0.0257273 + 0.177503i
\(560\) −4.90647 2.29832i −0.207336 0.0971217i
\(561\) 17.1054 10.8014i 0.722191 0.456037i
\(562\) 4.54787 10.9311i 0.191840 0.461101i
\(563\) −17.5087 + 18.5237i −0.737905 + 0.780682i −0.981962 0.189079i \(-0.939450\pi\)
0.244057 + 0.969761i \(0.421521\pi\)
\(564\) −1.87764 3.10094i −0.0790631 0.130573i
\(565\) −14.7286 + 14.0971i −0.619636 + 0.593069i
\(566\) 33.7685 + 17.3927i 1.41940 + 0.731068i
\(567\) 1.43078 2.00603i 0.0600871 0.0842452i
\(568\) −13.4190 18.3246i −0.563050 0.768884i
\(569\) 16.5707 2.29597i 0.694679 0.0962520i 0.218809 0.975768i \(-0.429783\pi\)
0.475870 + 0.879516i \(0.342133\pi\)
\(570\) 11.3280 6.95647i 0.474480 0.291375i
\(571\) −0.761558 + 0.962000i −0.0318702 + 0.0402585i −0.799733 0.600356i \(-0.795026\pi\)
0.767863 + 0.640615i \(0.221320\pi\)
\(572\) 2.36082 + 5.12313i 0.0987110 + 0.214209i
\(573\) −3.95366 5.12479i −0.165167 0.214091i
\(574\) 1.90090 + 12.0506i 0.0793422 + 0.502984i
\(575\) −0.912722 2.65014i −0.0380632 0.110518i
\(576\) 5.57333 + 5.33437i 0.232222 + 0.222266i
\(577\) −4.40283 + 19.7785i −0.183292 + 0.823391i 0.793392 + 0.608711i \(0.208313\pi\)
−0.976684 + 0.214680i \(0.931129\pi\)
\(578\) −3.66015 + 14.6975i −0.152242 + 0.611335i
\(579\) −2.20976 + 0.477414i −0.0918346 + 0.0198406i
\(580\) 0.0327262 1.74292i 0.00135888 0.0723708i
\(581\) −5.42110 + 0.820404i −0.224905 + 0.0340361i
\(582\) −1.44638 25.6528i −0.0599545 1.06334i
\(583\) 4.42297 41.4167i 0.183181 1.71530i
\(584\) 8.73717 + 2.58708i 0.361546 + 0.107054i
\(585\) −5.28774 + 2.80777i −0.218621 + 0.116087i
\(586\) −11.9525 22.8538i −0.493754 0.944081i
\(587\) 44.1846 7.82262i 1.82369 0.322874i 0.846044 0.533113i \(-0.178978\pi\)
0.977650 + 0.210238i \(0.0674240\pi\)
\(588\) −0.480380 + 3.04533i −0.0198105 + 0.125587i
\(589\) −9.59145 + 5.24796i −0.395209 + 0.216238i
\(590\) −4.69755 6.94772i −0.193395 0.286033i
\(591\) −13.0964 + 13.1786i −0.538714 + 0.542096i
\(592\) −8.40169 32.0226i −0.345307 1.31612i
\(593\) 31.3745 + 27.8493i 1.28839 + 1.14363i 0.981411 + 0.191920i \(0.0614713\pi\)
0.306984 + 0.951715i \(0.400680\pi\)
\(594\) −0.310373 + 49.5943i −0.0127347 + 2.03488i
\(595\) 2.78629 + 1.47951i 0.114227 + 0.0606540i
\(596\) 5.98598 + 5.87463i 0.245195 + 0.240634i
\(597\) 14.3578 + 16.3805i 0.587625 + 0.670410i
\(598\) 4.37929 3.88725i 0.179083 0.158961i
\(599\) 22.7803 + 15.1956i 0.930779 + 0.620874i 0.925351 0.379111i \(-0.123770\pi\)
0.00542791 + 0.999985i \(0.498272\pi\)
\(600\) 1.53450 + 6.50816i 0.0626456 + 0.265695i
\(601\) 0.246555 + 13.1309i 0.0100572 + 0.535621i 0.968317 + 0.249723i \(0.0803396\pi\)
−0.958260 + 0.285898i \(0.907708\pi\)
\(602\) 0.273200 + 1.60144i 0.0111348 + 0.0652698i
\(603\) 5.00555 + 11.6190i 0.203842 + 0.473161i
\(604\) 1.12704 0.444269i 0.0458585 0.0180770i
\(605\) −30.6001 22.7038i −1.24407 0.923042i
\(606\) −11.5131 + 2.33695i −0.467688 + 0.0949321i
\(607\) 20.5765 21.2307i 0.835175 0.861726i −0.156869 0.987619i \(-0.550140\pi\)
0.992044 + 0.125894i \(0.0401798\pi\)
\(608\) −5.88340 + 4.83994i −0.238603 + 0.196286i
\(609\) −2.44740 + 0.658516i −0.0991737 + 0.0266844i
\(610\) 4.47712 + 0.168190i 0.181273 + 0.00680982i
\(611\) 19.6701 7.47073i 0.795768 0.302233i
\(612\) 0.831480 + 0.879682i 0.0336106 + 0.0355590i
\(613\) −0.168600 + 0.611333i −0.00680967 + 0.0246915i −0.967336 0.253497i \(-0.918419\pi\)
0.960527 + 0.278188i \(0.0897340\pi\)
\(614\) −20.8361 3.95848i −0.840876 0.159751i
\(615\) −17.9382 + 19.4604i −0.723339 + 0.784717i
\(616\) −4.36869 8.88801i −0.176019 0.358108i
\(617\) −8.26650 33.1944i −0.332797 1.33636i −0.870061 0.492944i \(-0.835921\pi\)
0.537265 0.843414i \(-0.319458\pi\)
\(618\) 35.0842 0.878432i 1.41129 0.0353357i
\(619\) −9.59735 3.23834i −0.385750 0.130160i 0.120142 0.992757i \(-0.461665\pi\)
−0.505892 + 0.862597i \(0.668836\pi\)
\(620\) −0.321289 1.75084i −0.0129033 0.0703155i
\(621\) 7.49905 2.22047i 0.300927 0.0891044i
\(622\) 26.8440 26.3447i 1.07634 1.05632i
\(623\) 0.970137 + 0.0729925i 0.0388677 + 0.00292438i
\(624\) −13.4171 + 9.69689i −0.537115 + 0.388186i
\(625\) −3.67115 + 10.2412i −0.146846 + 0.409650i
\(626\) −8.10239 14.1699i −0.323837 0.566345i
\(627\) 28.5704 + 3.59476i 1.14099 + 0.143561i
\(628\) −0.975802 0.743115i −0.0389387 0.0296535i
\(629\) 3.95274 + 18.8669i 0.157606 + 0.752274i
\(630\) −1.99818 + 1.12603i −0.0796095 + 0.0448620i
\(631\) 24.3646 1.52677i 0.969939 0.0607796i 0.430309 0.902682i \(-0.358405\pi\)
0.539630 + 0.841902i \(0.318564\pi\)
\(632\) 8.59319 + 14.6011i 0.341819 + 0.580801i
\(633\) −6.16022 + 23.4794i −0.244847 + 0.933221i
\(634\) −32.5866 + 21.7368i −1.29418 + 0.863278i
\(635\) −20.9315 19.5380i −0.830643 0.775343i
\(636\) −3.40605 + 0.299184i −0.135058 + 0.0118634i
\(637\) −16.8823 5.93281i −0.668902 0.235066i
\(638\) 15.9116 19.0972i 0.629948 0.756066i
\(639\) −11.3932 + 0.142609i −0.450709 + 0.00564151i
\(640\) 8.34129 + 21.5549i 0.329718 + 0.852032i
\(641\) 16.1467 32.8502i 0.637756 1.29750i −0.301231 0.953551i \(-0.597398\pi\)
0.938987 0.343952i \(-0.111766\pi\)
\(642\) −12.8166 2.76898i −0.505829 0.109283i
\(643\) −3.71257 + 15.7459i −0.146410 + 0.620957i 0.849259 + 0.527977i \(0.177049\pi\)
−0.995668 + 0.0929792i \(0.970361\pi\)
\(644\) 0.249120 0.232535i 0.00981672 0.00916318i
\(645\) −2.35614 + 2.62115i −0.0927727 + 0.103208i
\(646\) 12.5283 9.29542i 0.492919 0.365723i
\(647\) −6.57998 + 10.5661i −0.258686 + 0.415396i −0.952399 0.304855i \(-0.901392\pi\)
0.693713 + 0.720251i \(0.255974\pi\)
\(648\) −8.93150 + 1.69682i −0.350862 + 0.0666575i
\(649\) 1.47636 18.1069i 0.0579523 0.710757i
\(650\) 8.45818 0.423815i 0.331757 0.0166234i
\(651\) −2.31543 + 1.15614i −0.0907488 + 0.0453127i
\(652\) 1.03597 1.61807i 0.0405718 0.0633685i
\(653\) 21.6267 10.1305i 0.846319 0.396437i 0.0481271 0.998841i \(-0.484675\pi\)
0.798191 + 0.602404i \(0.205790\pi\)
\(654\) 6.68179 + 10.1540i 0.261279 + 0.397055i
\(655\) 6.58159 + 5.27758i 0.257164 + 0.206212i
\(656\) 30.4285 43.8120i 1.18803 1.71057i
\(657\) 3.60180 2.81484i 0.140519 0.109817i
\(658\) 7.46165 3.04977i 0.290886 0.118892i
\(659\) −11.6368 10.5927i −0.453305 0.412632i 0.414102 0.910231i \(-0.364096\pi\)
−0.867407 + 0.497599i \(0.834215\pi\)
\(660\) −2.01528 + 4.23306i −0.0784445 + 0.164772i
\(661\) 2.89959 2.63941i 0.112781 0.102661i −0.614801 0.788682i \(-0.710764\pi\)
0.727582 + 0.686021i \(0.240644\pi\)
\(662\) 0.317758 + 1.04898i 0.0123500 + 0.0407700i
\(663\) 8.08502 5.24808i 0.313996 0.203818i
\(664\) 16.5429 + 11.6435i 0.641988 + 0.451857i
\(665\) 1.72490 + 4.14593i 0.0668889 + 0.160772i
\(666\) −13.1017 4.97602i −0.507679 0.192817i
\(667\) −3.60962 1.52834i −0.139765 0.0591777i
\(668\) −3.34156 0.809983i −0.129289 0.0313392i
\(669\) 3.42151 7.94207i 0.132283 0.307058i
\(670\) −0.830516 + 26.5332i −0.0320856 + 1.02507i
\(671\) 7.33813 + 6.35122i 0.283286 + 0.245186i
\(672\) −1.43469 + 1.09258i −0.0553443 + 0.0421470i
\(673\) 24.8583 14.4212i 0.958217 0.555895i 0.0613121 0.998119i \(-0.480472\pi\)
0.896905 + 0.442223i \(0.145810\pi\)
\(674\) 2.90116 0.819682i 0.111749 0.0315730i
\(675\) 10.4702 + 4.27943i 0.402998 + 0.164715i
\(676\) −0.846582 1.77824i −0.0325608 0.0683937i
\(677\) −6.24146 + 20.6043i −0.239879 + 0.791889i 0.751370 + 0.659881i \(0.229393\pi\)
−0.991249 + 0.132008i \(0.957858\pi\)
\(678\) 6.63212 + 22.9243i 0.254705 + 0.880401i
\(679\) 8.63560 + 0.867588i 0.331404 + 0.0332950i
\(680\) −3.65229 11.0520i −0.140059 0.423825i
\(681\) −13.7607 + 18.7912i −0.527312 + 0.720081i
\(682\) 12.0441 22.3433i 0.461191 0.855570i
\(683\) −0.353428 + 8.06268i −0.0135236 + 0.308510i 0.980298 + 0.197523i \(0.0632896\pi\)
−0.993822 + 0.110987i \(0.964599\pi\)
\(684\) 0.118514 + 1.71887i 0.00453149 + 0.0657227i
\(685\) 2.04419 1.63918i 0.0781046 0.0626298i
\(686\) −13.5112 4.37136i −0.515859 0.166899i
\(687\) −5.81289 29.5861i −0.221776 1.12878i
\(688\) 3.97869 5.88452i 0.151686 0.224345i
\(689\) 1.86022 19.7583i 0.0708689 0.752731i
\(690\) 4.81200 + 0.728226i 0.183190 + 0.0277231i
\(691\) −0.472559 + 2.77004i −0.0179770 + 0.105377i −0.993338 0.115238i \(-0.963237\pi\)
0.975361 + 0.220615i \(0.0708066\pi\)
\(692\) 6.46547 1.56721i 0.245780 0.0595763i
\(693\) −4.90269 0.804842i −0.186238 0.0305734i
\(694\) −0.747713 + 13.2613i −0.0283828 + 0.503393i
\(695\) −1.50454 15.9804i −0.0570706 0.606173i
\(696\) 8.20351 + 4.48855i 0.310953 + 0.170138i
\(697\) −18.9717 + 24.5914i −0.718605 + 0.931465i
\(698\) −18.2116 4.17382i −0.689321 0.157982i
\(699\) 28.6889 24.2092i 1.08512 0.915675i
\(700\) 0.491471 0.0369779i 0.0185759 0.00139763i
\(701\) 3.67539 4.19319i 0.138818 0.158375i −0.678422 0.734672i \(-0.737336\pi\)
0.817240 + 0.576298i \(0.195503\pi\)
\(702\) 0.147881 + 23.6298i 0.00558140 + 0.891849i
\(703\) −12.7160 + 24.3136i −0.479594 + 0.917006i
\(704\) −10.5850 + 33.4295i −0.398938 + 1.25992i
\(705\) 15.2352 + 8.58542i 0.573790 + 0.323346i
\(706\) −26.0464 12.6007i −0.980268 0.474233i
\(707\) −0.173786 3.96453i −0.00653588 0.149102i
\(708\) −1.48184 + 0.167635i −0.0556911 + 0.00630010i
\(709\) −30.5558 25.1365i −1.14755 0.944022i −0.148553 0.988904i \(-0.547462\pi\)
−0.998992 + 0.0448823i \(0.985709\pi\)
\(710\) −21.7759 9.86993i −0.817233 0.370412i
\(711\) 8.46667 + 0.743704i 0.317525 + 0.0278911i
\(712\) −2.39966 2.66957i −0.0899312 0.100047i
\(713\) −3.92272 0.796240i −0.146907 0.0298194i
\(714\) 3.04609 2.08744i 0.113997 0.0781206i
\(715\) −22.0550 15.9397i −0.824811 0.596111i
\(716\) 1.58782 + 1.33988i 0.0593395 + 0.0500737i
\(717\) 6.48446 + 8.62637i 0.242167 + 0.322158i
\(718\) −30.8564 + 3.88238i −1.15155 + 0.144889i
\(719\) −10.5414 6.11541i −0.393126 0.228066i 0.292114 0.956384i \(-0.405641\pi\)
−0.685240 + 0.728317i \(0.740303\pi\)
\(720\) 9.71611 + 2.48431i 0.362098 + 0.0925846i
\(721\) −1.55350 + 11.7526i −0.0578553 + 0.437691i
\(722\) −6.96368 0.348930i −0.259161 0.0129858i
\(723\) 14.5625 6.38197i 0.541584 0.237348i
\(724\) −8.33692 1.15513i −0.309839 0.0429300i
\(725\) −2.68998 4.99026i −0.0999032 0.185333i
\(726\) −40.1489 + 19.4232i −1.49007 + 0.720863i
\(727\) −40.7690 2.55472i −1.51204 0.0947494i −0.715191 0.698929i \(-0.753660\pi\)
−0.796848 + 0.604180i \(0.793501\pi\)
\(728\) −2.13435 4.20841i −0.0791043 0.155974i
\(729\) −11.2002 + 24.3052i −0.414824 + 0.900193i
\(730\) 9.34942 2.14274i 0.346037 0.0793063i
\(731\) −2.48520 + 3.30609i −0.0919184 + 0.122280i
\(732\) 0.395450 0.691587i 0.0146163 0.0255618i
\(733\) −21.5760 25.2463i −0.796930 0.932494i 0.201970 0.979392i \(-0.435266\pi\)
−0.998900 + 0.0468981i \(0.985066\pi\)
\(734\) 14.1316 + 16.9607i 0.521605 + 0.626032i
\(735\) −5.19345 13.9363i −0.191563 0.514047i
\(736\) −2.78889 0.0349084i −0.102800 0.00128674i
\(737\) −37.3589 + 43.7140i −1.37613 + 1.61023i
\(738\) −7.61981 21.2566i −0.280489 0.782467i
\(739\) −4.46217 3.05787i −0.164144 0.112485i 0.480412 0.877043i \(-0.340487\pi\)
−0.644555 + 0.764558i \(0.722957\pi\)
\(740\) −3.10903 3.20787i −0.114290 0.117924i
\(741\) 13.6331 + 1.54225i 0.500824 + 0.0566561i
\(742\) 0.522968 7.58490i 0.0191988 0.278450i
\(743\) 19.8641 + 28.6010i 0.728743 + 1.04927i 0.996318 + 0.0857336i \(0.0273234\pi\)
−0.267575 + 0.963537i \(0.586222\pi\)
\(744\) 9.12128 + 2.82545i 0.334402 + 0.103586i
\(745\) −39.0702 10.5125i −1.43142 0.385149i
\(746\) −40.9701 + 18.5698i −1.50002 + 0.679888i
\(747\) 9.57450 3.36468i 0.350313 0.123107i
\(748\) −1.92121 + 5.15544i −0.0702464 + 0.188502i
\(749\) 1.59849 4.13070i 0.0584077 0.150933i
\(750\) 16.6176 + 18.0277i 0.606788 + 0.658277i
\(751\) 5.73929 + 9.21612i 0.209430 + 0.336301i 0.936751 0.349996i \(-0.113817\pi\)
−0.727322 + 0.686297i \(0.759235\pi\)
\(752\) −32.7900 12.9255i −1.19573 0.471345i
\(753\) 0.449961 + 14.3753i 0.0163975 + 0.523866i
\(754\) 7.46681 9.19326i 0.271925 0.334799i
\(755\) −3.68441 + 4.53631i −0.134090 + 0.165093i
\(756\) 0.0430245 + 1.37454i 0.00156479 + 0.0499916i
\(757\) 14.9909 + 5.90930i 0.544854 + 0.214777i 0.623079 0.782159i \(-0.285881\pi\)
−0.0782249 + 0.996936i \(0.524925\pi\)
\(758\) 7.14325 + 11.4706i 0.259454 + 0.416631i
\(759\) 7.14514 + 7.75144i 0.259352 + 0.281359i
\(760\) 5.97939 15.4515i 0.216895 0.560484i
\(761\) 3.49232 9.37142i 0.126597 0.339714i −0.858227 0.513270i \(-0.828434\pi\)
0.984824 + 0.173556i \(0.0555257\pi\)
\(762\) −31.6203 + 11.1120i −1.14548 + 0.402547i
\(763\) −3.73974 + 1.69504i −0.135388 + 0.0613647i
\(764\) 1.69982 + 0.457367i 0.0614974 + 0.0165469i
\(765\) −5.57782 1.72781i −0.201667 0.0624693i
\(766\) 7.72929 + 11.1289i 0.279270 + 0.402104i
\(767\) 0.595397 8.63536i 0.0214985 0.311805i
\(768\) 10.9144 + 1.23470i 0.393839 + 0.0445533i
\(769\) −17.8048 18.3709i −0.642059 0.662470i 0.316094 0.948728i \(-0.397628\pi\)
−0.958153 + 0.286258i \(0.907589\pi\)
\(770\) −8.59951 5.89313i −0.309905 0.212373i
\(771\) 6.24964 + 17.4343i 0.225075 + 0.627882i
\(772\) 0.399444 0.467393i 0.0143763 0.0168218i