Properties

Label 637.2.bl.b.235.22
Level $637$
Weight $2$
Character 637.235
Analytic conductor $5.086$
Analytic rank $0$
Dimension $348$
CM no
Inner twists $2$

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Newspace parameters

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

Newform invariants

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

Embedding invariants

Embedding label 235.22
Character \(\chi\) \(=\) 637.235
Dual form 637.2.bl.b.534.22

$q$-expansion

\(f(q)\) \(=\) \(q+(1.40276 + 0.211433i) q^{2} +(0.102437 - 0.0698406i) q^{3} +(0.0118965 + 0.00366960i) q^{4} +(-0.300677 - 4.01226i) q^{5} +(0.158462 - 0.0763113i) q^{6} +(-2.12848 - 1.57148i) q^{7} +(-2.54033 - 1.22336i) q^{8} +(-1.09041 + 2.77831i) q^{9} +O(q^{10})\) \(q+(1.40276 + 0.211433i) q^{2} +(0.102437 - 0.0698406i) q^{3} +(0.0118965 + 0.00366960i) q^{4} +(-0.300677 - 4.01226i) q^{5} +(0.158462 - 0.0763113i) q^{6} +(-2.12848 - 1.57148i) q^{7} +(-2.54033 - 1.22336i) q^{8} +(-1.09041 + 2.77831i) q^{9} +(0.426543 - 5.69183i) q^{10} +(1.89016 + 4.81604i) q^{11} +(0.00147494 - 0.000454958i) q^{12} +(0.623490 - 0.781831i) q^{13} +(-2.65350 - 2.65445i) q^{14} +(-0.311019 - 0.390006i) q^{15} +(-3.32540 - 2.26722i) q^{16} +(-5.69421 - 5.28345i) q^{17} +(-2.11701 + 3.66677i) q^{18} +(-1.02653 - 1.77801i) q^{19} +(0.0111464 - 0.0488354i) q^{20} +(-0.327789 - 0.0123238i) q^{21} +(1.63318 + 7.15541i) q^{22} +(3.63941 - 3.37688i) q^{23} +(-0.345665 + 0.0521006i) q^{24} +(-11.0637 + 1.66758i) q^{25} +(1.03991 - 0.964899i) q^{26} +(0.165105 + 0.723373i) q^{27} +(-0.0195549 - 0.0265059i) q^{28} +(0.896286 - 3.92689i) q^{29} +(-0.353827 - 0.612846i) q^{30} +(2.31386 - 4.00773i) q^{31} +(-0.0516250 - 0.0479010i) q^{32} +(0.529978 + 0.361333i) q^{33} +(-6.87053 - 8.61537i) q^{34} +(-5.66521 + 9.01254i) q^{35} +(-0.0231674 + 0.0290510i) q^{36} +(0.738392 - 0.227764i) q^{37} +(-1.06405 - 2.71117i) q^{38} +(0.00926506 - 0.123634i) q^{39} +(-4.14462 + 10.5603i) q^{40} +(-2.99562 - 1.44262i) q^{41} +(-0.457205 - 0.0865928i) q^{42} +(2.98655 - 1.43825i) q^{43} +(0.00481340 + 0.0642304i) q^{44} +(11.4752 + 3.53962i) q^{45} +(5.81922 - 3.96748i) q^{46} +(3.76008 + 0.566741i) q^{47} -0.498989 q^{48} +(2.06089 + 6.68975i) q^{49} -15.8723 q^{50} +(-0.952299 - 0.143536i) q^{51} +(0.0102864 - 0.00701314i) q^{52} +(7.50905 + 2.31623i) q^{53} +(0.0786589 + 1.04963i) q^{54} +(18.7549 - 9.03188i) q^{55} +(3.48457 + 6.59599i) q^{56} +(-0.229332 - 0.110441i) q^{57} +(2.08755 - 5.31899i) q^{58} +(-0.0920752 + 1.22866i) q^{59} +(-0.00226889 - 0.00578104i) q^{60} +(8.62818 - 2.66144i) q^{61} +(4.09317 - 5.13267i) q^{62} +(6.68698 - 4.20004i) q^{63} +(4.95648 + 6.21523i) q^{64} +(-3.32438 - 2.26652i) q^{65} +(0.667036 + 0.618919i) q^{66} +(-0.288736 + 0.500105i) q^{67} +(-0.0483532 - 0.0837503i) q^{68} +(0.136968 - 0.600097i) q^{69} +(-9.85249 + 11.4447i) q^{70} +(-1.12923 - 4.94750i) q^{71} +(6.16887 - 5.72388i) q^{72} +(-5.81137 + 0.875923i) q^{73} +(1.08395 - 0.163379i) q^{74} +(-1.01687 + 0.943517i) q^{75} +(-0.00568762 - 0.0249191i) q^{76} +(3.54515 - 13.2212i) q^{77} +(0.0391369 - 0.171470i) q^{78} +(-6.37906 - 11.0489i) q^{79} +(-8.09680 + 14.0241i) q^{80} +(-6.49623 - 6.02762i) q^{81} +(-3.89714 - 2.65702i) q^{82} +(9.72033 + 12.1889i) q^{83} +(-0.00385434 - 0.00134947i) q^{84} +(-19.4865 + 24.4353i) q^{85} +(4.49352 - 1.38607i) q^{86} +(-0.182443 - 0.464857i) q^{87} +(1.09012 - 14.5467i) q^{88} +(1.54024 - 3.92446i) q^{89} +(15.3486 + 7.39148i) q^{90} +(-2.55572 + 0.684313i) q^{91} +(0.0556882 - 0.0268180i) q^{92} +(-0.0428762 - 0.572143i) q^{93} +(5.15467 + 1.59001i) q^{94} +(-6.82517 + 4.65333i) q^{95} +(-0.00863377 - 0.00130133i) q^{96} +3.54214 q^{97} +(1.47651 + 9.81988i) q^{98} -15.4415 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 \(\left(\mathbb{Z}/637\mathbb{Z}\right)^\times\).

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

Coefficient data

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

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.40276 + 0.211433i 0.991904 + 0.149505i 0.624892 0.780711i \(-0.285143\pi\)
0.367011 + 0.930216i \(0.380381\pi\)
\(3\) 0.102437 0.0698406i 0.0591422 0.0403225i −0.533388 0.845871i \(-0.679081\pi\)
0.592530 + 0.805548i \(0.298129\pi\)
\(4\) 0.0118965 + 0.00366960i 0.00594827 + 0.00183480i
\(5\) −0.300677 4.01226i −0.134467 1.79434i −0.502553 0.864546i \(-0.667606\pi\)
0.368086 0.929792i \(-0.380013\pi\)
\(6\) 0.158462 0.0763113i 0.0646918 0.0311539i
\(7\) −2.12848 1.57148i −0.804491 0.593964i
\(8\) −2.54033 1.22336i −0.898143 0.432523i
\(9\) −1.09041 + 2.77831i −0.363469 + 0.926104i
\(10\) 0.426543 5.69183i 0.134885 1.79991i
\(11\) 1.89016 + 4.81604i 0.569904 + 1.45209i 0.867518 + 0.497405i \(0.165714\pi\)
−0.297615 + 0.954686i \(0.596191\pi\)
\(12\) 0.00147494 0.000454958i 0.000425778 0.000131335i
\(13\) 0.623490 0.781831i 0.172925 0.216841i
\(14\) −2.65350 2.65445i −0.709177 0.709431i
\(15\) −0.311019 0.390006i −0.0803048 0.100699i
\(16\) −3.32540 2.26722i −0.831350 0.566805i
\(17\) −5.69421 5.28345i −1.38105 1.28142i −0.918827 0.394660i \(-0.870862\pi\)
−0.462220 0.886765i \(-0.652947\pi\)
\(18\) −2.11701 + 3.66677i −0.498984 + 0.864266i
\(19\) −1.02653 1.77801i −0.235503 0.407903i 0.723916 0.689888i \(-0.242340\pi\)
−0.959419 + 0.281985i \(0.909007\pi\)
\(20\) 0.0111464 0.0488354i 0.00249240 0.0109199i
\(21\) −0.327789 0.0123238i −0.0715295 0.00268927i
\(22\) 1.63318 + 7.15541i 0.348194 + 1.52554i
\(23\) 3.63941 3.37688i 0.758870 0.704128i −0.202532 0.979276i \(-0.564917\pi\)
0.961402 + 0.275147i \(0.0887266\pi\)
\(24\) −0.345665 + 0.0521006i −0.0705586 + 0.0106350i
\(25\) −11.0637 + 1.66758i −2.21274 + 0.333516i
\(26\) 1.03991 0.964899i 0.203944 0.189232i
\(27\) 0.165105 + 0.723373i 0.0317745 + 0.139213i
\(28\) −0.0195549 0.0265059i −0.00369553 0.00500914i
\(29\) 0.896286 3.92689i 0.166436 0.729204i −0.820967 0.570976i \(-0.806565\pi\)
0.987403 0.158228i \(-0.0505781\pi\)
\(30\) −0.353827 0.612846i −0.0645996 0.111890i
\(31\) 2.31386 4.00773i 0.415582 0.719810i −0.579907 0.814683i \(-0.696911\pi\)
0.995489 + 0.0948730i \(0.0302445\pi\)
\(32\) −0.0516250 0.0479010i −0.00912611 0.00846779i
\(33\) 0.529978 + 0.361333i 0.0922573 + 0.0629000i
\(34\) −6.87053 8.61537i −1.17829 1.47752i
\(35\) −5.66521 + 9.01254i −0.957595 + 1.52340i
\(36\) −0.0231674 + 0.0290510i −0.00386123 + 0.00484183i
\(37\) 0.738392 0.227764i 0.121391 0.0374442i −0.233465 0.972365i \(-0.575006\pi\)
0.354855 + 0.934921i \(0.384530\pi\)
\(38\) −1.06405 2.71117i −0.172612 0.439809i
\(39\) 0.00926506 0.123634i 0.00148360 0.0197972i
\(40\) −4.14462 + 10.5603i −0.655321 + 1.66973i
\(41\) −2.99562 1.44262i −0.467838 0.225299i 0.185086 0.982722i \(-0.440744\pi\)
−0.652924 + 0.757423i \(0.726458\pi\)
\(42\) −0.457205 0.0865928i −0.0705483 0.0133616i
\(43\) 2.98655 1.43825i 0.455445 0.219331i −0.192073 0.981381i \(-0.561521\pi\)
0.647518 + 0.762050i \(0.275807\pi\)
\(44\) 0.00481340 + 0.0642304i 0.000725647 + 0.00968309i
\(45\) 11.4752 + 3.53962i 1.71062 + 0.527656i
\(46\) 5.81922 3.96748i 0.857997 0.584972i
\(47\) 3.76008 + 0.566741i 0.548464 + 0.0826676i 0.417428 0.908710i \(-0.362932\pi\)
0.131036 + 0.991378i \(0.458170\pi\)
\(48\) −0.498989 −0.0720229
\(49\) 2.06089 + 6.68975i 0.294413 + 0.955678i
\(50\) −15.8723 −2.24468
\(51\) −0.952299 0.143536i −0.133348 0.0200990i
\(52\) 0.0102864 0.00701314i 0.00142646 0.000972547i
\(53\) 7.50905 + 2.31623i 1.03145 + 0.318159i 0.763865 0.645376i \(-0.223299\pi\)
0.267582 + 0.963535i \(0.413775\pi\)
\(54\) 0.0786589 + 1.04963i 0.0107041 + 0.142837i
\(55\) 18.7549 9.03188i 2.52891 1.21786i
\(56\) 3.48457 + 6.59599i 0.465645 + 0.881426i
\(57\) −0.229332 0.110441i −0.0303758 0.0146282i
\(58\) 2.08755 5.31899i 0.274109 0.698417i
\(59\) −0.0920752 + 1.22866i −0.0119872 + 0.159958i 0.987998 + 0.154468i \(0.0493664\pi\)
−0.999985 + 0.00548947i \(0.998253\pi\)
\(60\) −0.00226889 0.00578104i −0.000292912 0.000746329i
\(61\) 8.62818 2.66144i 1.10473 0.340763i 0.311841 0.950134i \(-0.399054\pi\)
0.792885 + 0.609372i \(0.208578\pi\)
\(62\) 4.09317 5.13267i 0.519833 0.651850i
\(63\) 6.68698 4.20004i 0.842481 0.529155i
\(64\) 4.95648 + 6.21523i 0.619561 + 0.776904i
\(65\) −3.32438 2.26652i −0.412339 0.281128i
\(66\) 0.667036 + 0.618919i 0.0821065 + 0.0761837i
\(67\) −0.288736 + 0.500105i −0.0352747 + 0.0610976i −0.883124 0.469140i \(-0.844564\pi\)
0.847849 + 0.530238i \(0.177897\pi\)
\(68\) −0.0483532 0.0837503i −0.00586369 0.0101562i
\(69\) 0.136968 0.600097i 0.0164890 0.0722432i
\(70\) −9.85249 + 11.4447i −1.17760 + 1.36790i
\(71\) −1.12923 4.94750i −0.134015 0.587160i −0.996683 0.0813878i \(-0.974065\pi\)
0.862667 0.505772i \(-0.168792\pi\)
\(72\) 6.16887 5.72388i 0.727008 0.674565i
\(73\) −5.81137 + 0.875923i −0.680170 + 0.102519i −0.480035 0.877249i \(-0.659376\pi\)
−0.200135 + 0.979768i \(0.564138\pi\)
\(74\) 1.08395 0.163379i 0.126006 0.0189924i
\(75\) −1.01687 + 0.943517i −0.117418 + 0.108948i
\(76\) −0.00568762 0.0249191i −0.000652415 0.00285842i
\(77\) 3.54515 13.2212i 0.404008 1.50670i
\(78\) 0.0391369 0.171470i 0.00443138 0.0194151i
\(79\) −6.37906 11.0489i −0.717700 1.24309i −0.961909 0.273371i \(-0.911861\pi\)
0.244208 0.969723i \(-0.421472\pi\)
\(80\) −8.09680 + 14.0241i −0.905250 + 1.56794i
\(81\) −6.49623 6.02762i −0.721803 0.669736i
\(82\) −3.89714 2.65702i −0.430367 0.293419i
\(83\) 9.72033 + 12.1889i 1.06694 + 1.33791i 0.938148 + 0.346236i \(0.112540\pi\)
0.128797 + 0.991671i \(0.458888\pi\)
\(84\) −0.00385434 0.00134947i −0.000420543 0.000147239i
\(85\) −19.4865 + 24.4353i −2.11360 + 2.65038i
\(86\) 4.49352 1.38607i 0.484549 0.149464i
\(87\) −0.182443 0.464857i −0.0195599 0.0498379i
\(88\) 1.09012 14.5467i 0.116208 1.55068i
\(89\) 1.54024 3.92446i 0.163265 0.415992i −0.825706 0.564100i \(-0.809223\pi\)
0.988971 + 0.148108i \(0.0473184\pi\)
\(90\) 15.3486 + 7.39148i 1.61788 + 0.779131i
\(91\) −2.55572 + 0.684313i −0.267912 + 0.0717355i
\(92\) 0.0556882 0.0268180i 0.00580590 0.00279597i
\(93\) −0.0428762 0.572143i −0.00444605 0.0593285i
\(94\) 5.15467 + 1.59001i 0.531664 + 0.163997i
\(95\) −6.82517 + 4.65333i −0.700248 + 0.477421i
\(96\) −0.00863377 0.00130133i −0.000881180 0.000132817i
\(97\) 3.54214 0.359649 0.179825 0.983699i \(-0.442447\pi\)
0.179825 + 0.983699i \(0.442447\pi\)
\(98\) 1.47651 + 9.81988i 0.149150 + 0.991957i
\(99\) −15.4415 −1.55193
\(100\) −0.137739 0.0207608i −0.0137739 0.00207608i
\(101\) −8.22918 + 5.61056i −0.818834 + 0.558272i −0.898715 0.438533i \(-0.855498\pi\)
0.0798810 + 0.996804i \(0.474546\pi\)
\(102\) −1.30550 0.402694i −0.129264 0.0398726i
\(103\) −0.803134 10.7171i −0.0791352 1.05599i −0.885522 0.464597i \(-0.846199\pi\)
0.806387 0.591388i \(-0.201420\pi\)
\(104\) −2.54033 + 1.22336i −0.249100 + 0.119960i
\(105\) 0.0491126 + 1.31888i 0.00479290 + 0.128710i
\(106\) 10.0437 + 4.83679i 0.975530 + 0.469790i
\(107\) 3.61389 9.20804i 0.349368 0.890175i −0.642888 0.765961i \(-0.722264\pi\)
0.992255 0.124214i \(-0.0396410\pi\)
\(108\) −0.000690307 0.00921151i −6.64249e−5 0.000886378i
\(109\) 1.01446 + 2.58481i 0.0971679 + 0.247580i 0.971190 0.238306i \(-0.0765922\pi\)
−0.874022 + 0.485886i \(0.838497\pi\)
\(110\) 28.2183 8.70420i 2.69051 0.829913i
\(111\) 0.0597318 0.0749013i 0.00566949 0.00710932i
\(112\) 3.51517 + 10.0515i 0.332152 + 0.949782i
\(113\) 10.2783 + 12.8886i 0.966901 + 1.21246i 0.977159 + 0.212508i \(0.0681631\pi\)
−0.0102585 + 0.999947i \(0.503265\pi\)
\(114\) −0.298348 0.203410i −0.0279429 0.0190511i
\(115\) −14.6432 13.5869i −1.36549 1.26699i
\(116\) 0.0250728 0.0434274i 0.00232795 0.00403213i
\(117\) 1.49231 + 2.58476i 0.137965 + 0.238962i
\(118\) −0.388938 + 1.70405i −0.0358047 + 0.156870i
\(119\) 3.81718 + 20.1941i 0.349920 + 1.85119i
\(120\) 0.312975 + 1.37123i 0.0285706 + 0.125176i
\(121\) −11.5580 + 10.7242i −1.05073 + 0.974932i
\(122\) 12.6660 1.90910i 1.14673 0.172841i
\(123\) −0.407617 + 0.0614384i −0.0367536 + 0.00553971i
\(124\) 0.0422337 0.0391872i 0.00379270 0.00351911i
\(125\) 5.54079 + 24.2758i 0.495584 + 2.17129i
\(126\) 10.2683 4.47782i 0.914771 0.398916i
\(127\) 1.67437 7.33590i 0.148576 0.650956i −0.844705 0.535232i \(-0.820224\pi\)
0.993281 0.115724i \(-0.0369188\pi\)
\(128\) 5.70910 + 9.88845i 0.504618 + 0.874023i
\(129\) 0.205486 0.355913i 0.0180921 0.0313364i
\(130\) −4.18410 3.88228i −0.366970 0.340499i
\(131\) −12.2044 8.32082i −1.06630 0.726994i −0.102804 0.994702i \(-0.532781\pi\)
−0.963500 + 0.267708i \(0.913734\pi\)
\(132\) 0.00497896 + 0.00624342i 0.000433363 + 0.000543420i
\(133\) −0.609147 + 5.39764i −0.0528197 + 0.468035i
\(134\) −0.510767 + 0.640481i −0.0441235 + 0.0553291i
\(135\) 2.85272 0.879947i 0.245523 0.0757338i
\(136\) 8.00161 + 20.3878i 0.686133 + 1.74824i
\(137\) −0.182870 + 2.44024i −0.0156237 + 0.208483i 0.983929 + 0.178562i \(0.0571446\pi\)
−0.999552 + 0.0299211i \(0.990474\pi\)
\(138\) 0.319014 0.812835i 0.0271563 0.0691931i
\(139\) −7.88428 3.79687i −0.668736 0.322046i 0.0685299 0.997649i \(-0.478169\pi\)
−0.737266 + 0.675603i \(0.763883\pi\)
\(140\) −0.100469 + 0.0864291i −0.00849116 + 0.00730459i
\(141\) 0.424754 0.204551i 0.0357707 0.0172263i
\(142\) −0.537986 7.17893i −0.0451468 0.602442i
\(143\) 4.94383 + 1.52497i 0.413424 + 0.127524i
\(144\) 9.92508 6.76681i 0.827090 0.563901i
\(145\) −16.0252 2.41541i −1.33082 0.200589i
\(146\) −8.33718 −0.689990
\(147\) 0.678328 + 0.541346i 0.0559476 + 0.0446495i
\(148\) 0.00962012 0.000790769
\(149\) −15.9763 2.40804i −1.30883 0.197275i −0.542683 0.839938i \(-0.682591\pi\)
−0.766149 + 0.642663i \(0.777829\pi\)
\(150\) −1.62592 + 1.10853i −0.132756 + 0.0905112i
\(151\) −16.0658 4.95564i −1.30741 0.403284i −0.438716 0.898626i \(-0.644567\pi\)
−0.868698 + 0.495342i \(0.835043\pi\)
\(152\) 0.432593 + 5.77255i 0.0350879 + 0.468215i
\(153\) 20.8881 10.0592i 1.68870 0.813236i
\(154\) 7.76841 17.7967i 0.625996 1.43410i
\(155\) −16.7758 8.07879i −1.34746 0.648904i
\(156\) 0.000563908 0.00143681i 4.51488e−5 0.000115037i
\(157\) 1.26832 16.9245i 0.101223 1.35072i −0.683080 0.730344i \(-0.739360\pi\)
0.784302 0.620379i \(-0.213021\pi\)
\(158\) −6.61223 16.8477i −0.526041 1.34033i
\(159\) 0.930974 0.287167i 0.0738310 0.0227739i
\(160\) −0.176669 + 0.221536i −0.0139669 + 0.0175140i
\(161\) −13.0531 + 1.46837i −1.02873 + 0.115724i
\(162\) −7.83824 9.82884i −0.615830 0.772227i
\(163\) 6.15730 + 4.19797i 0.482277 + 0.328811i 0.779934 0.625862i \(-0.215253\pi\)
−0.297657 + 0.954673i \(0.596205\pi\)
\(164\) −0.0303438 0.0281549i −0.00236945 0.00219853i
\(165\) 1.29041 2.23505i 0.100458 0.173999i
\(166\) 11.0582 + 19.1534i 0.858282 + 1.48659i
\(167\) −2.74710 + 12.0358i −0.212577 + 0.931361i 0.750231 + 0.661175i \(0.229942\pi\)
−0.962808 + 0.270185i \(0.912915\pi\)
\(168\) 0.817618 + 0.432311i 0.0630806 + 0.0333535i
\(169\) −0.222521 0.974928i −0.0171170 0.0749945i
\(170\) −32.5013 + 30.1568i −2.49274 + 2.31292i
\(171\) 6.05920 0.913277i 0.463359 0.0698401i
\(172\) 0.0408075 0.00615073i 0.00311154 0.000468989i
\(173\) 1.91529 1.77713i 0.145617 0.135113i −0.604001 0.796984i \(-0.706428\pi\)
0.749618 + 0.661871i \(0.230237\pi\)
\(174\) −0.157638 0.690659i −0.0119505 0.0523587i
\(175\) 26.1694 + 13.8369i 1.97822 + 1.04598i
\(176\) 4.63349 20.3007i 0.349263 1.53022i
\(177\) 0.0763783 + 0.132291i 0.00574094 + 0.00994360i
\(178\) 2.99035 5.17944i 0.224136 0.388215i
\(179\) 14.0903 + 13.0739i 1.05316 + 0.977190i 0.999771 0.0213835i \(-0.00680710\pi\)
0.0533893 + 0.998574i \(0.482998\pi\)
\(180\) 0.123526 + 0.0842186i 0.00920708 + 0.00627728i
\(181\) 12.5003 + 15.6748i 0.929138 + 1.16510i 0.986004 + 0.166720i \(0.0533177\pi\)
−0.0568662 + 0.998382i \(0.518111\pi\)
\(182\) −3.72976 + 0.419567i −0.276468 + 0.0311004i
\(183\) 0.697971 0.875229i 0.0515955 0.0646988i
\(184\) −13.3765 + 4.12609i −0.986125 + 0.304179i
\(185\) −1.13587 2.89414i −0.0835105 0.212781i
\(186\) 0.0608245 0.811647i 0.00445987 0.0595128i
\(187\) 14.6824 37.4101i 1.07368 2.73570i
\(188\) 0.0426522 + 0.0205402i 0.00311073 + 0.00149805i
\(189\) 0.785344 1.79915i 0.0571254 0.130869i
\(190\) −10.5580 + 5.08445i −0.765956 + 0.368865i
\(191\) −1.75560 23.4268i −0.127031 1.69510i −0.588939 0.808177i \(-0.700454\pi\)
0.461909 0.886927i \(-0.347165\pi\)
\(192\) 0.941805 + 0.290508i 0.0679689 + 0.0209656i
\(193\) 16.3407 11.1409i 1.17623 0.801941i 0.192449 0.981307i \(-0.438357\pi\)
0.983782 + 0.179366i \(0.0574045\pi\)
\(194\) 4.96878 + 0.748923i 0.356738 + 0.0537695i
\(195\) −0.498836 −0.0357224
\(196\) −3.12127e−5 0.0871475i −2.22948e−6 0.00622482i
\(197\) −13.5337 −0.964233 −0.482117 0.876107i \(-0.660132\pi\)
−0.482117 + 0.876107i \(0.660132\pi\)
\(198\) −21.6608 3.26484i −1.53937 0.232022i
\(199\) 15.0846 10.2845i 1.06932 0.729051i 0.105184 0.994453i \(-0.466457\pi\)
0.964138 + 0.265401i \(0.0855045\pi\)
\(200\) 30.1455 + 9.29865i 2.13161 + 0.657514i
\(201\) 0.00535031 + 0.0713949i 0.000377382 + 0.00503581i
\(202\) −12.7299 + 6.13037i −0.895669 + 0.431332i
\(203\) −8.07876 + 6.94982i −0.567018 + 0.487781i
\(204\) −0.0108023 0.00520213i −0.000756315 0.000364222i
\(205\) −4.88744 + 12.4530i −0.341354 + 0.869755i
\(206\) 1.13933 15.2033i 0.0793811 1.05927i
\(207\) 5.41359 + 13.7936i 0.376270 + 0.958722i
\(208\) −3.84594 + 1.18631i −0.266668 + 0.0822561i
\(209\) 6.62265 8.30454i 0.458098 0.574437i
\(210\) −0.209961 + 1.86046i −0.0144887 + 0.128384i
\(211\) 7.10999 + 8.91564i 0.489472 + 0.613778i 0.963818 0.266560i \(-0.0858871\pi\)
−0.474347 + 0.880338i \(0.657316\pi\)
\(212\) 0.0808321 + 0.0551104i 0.00555157 + 0.00378500i
\(213\) −0.461212 0.427942i −0.0316017 0.0293221i
\(214\) 7.01631 12.1526i 0.479625 0.830735i
\(215\) −6.66862 11.5504i −0.454796 0.787730i
\(216\) 0.465523 2.03959i 0.0316749 0.138777i
\(217\) −11.2231 + 4.89420i −0.761874 + 0.332240i
\(218\) 0.876538 + 3.84036i 0.0593667 + 0.260102i
\(219\) −0.534126 + 0.495597i −0.0360929 + 0.0334893i
\(220\) 0.256262 0.0386252i 0.0172772 0.00260411i
\(221\) −7.68105 + 1.15773i −0.516683 + 0.0778775i
\(222\) 0.0996261 0.0924396i 0.00668647 0.00620414i
\(223\) 5.56423 + 24.3785i 0.372608 + 1.63250i 0.719424 + 0.694571i \(0.244406\pi\)
−0.346816 + 0.937933i \(0.612737\pi\)
\(224\) 0.0346075 + 0.183084i 0.00231231 + 0.0122328i
\(225\) 7.43086 32.5567i 0.495390 2.17045i
\(226\) 11.6930 + 20.2528i 0.777804 + 1.34720i
\(227\) 3.21169 5.56281i 0.213167 0.369217i −0.739537 0.673116i \(-0.764955\pi\)
0.952704 + 0.303900i \(0.0982887\pi\)
\(228\) −0.00232299 0.00215542i −0.000153844 0.000142746i
\(229\) −12.0514 8.21651i −0.796379 0.542962i 0.0953969 0.995439i \(-0.469588\pi\)
−0.891776 + 0.452477i \(0.850540\pi\)
\(230\) −17.6683 22.1553i −1.16501 1.46088i
\(231\) −0.560222 1.60194i −0.0368599 0.105400i
\(232\) −7.08085 + 8.87911i −0.464881 + 0.582942i
\(233\) 22.4795 6.93400i 1.47268 0.454262i 0.548478 0.836165i \(-0.315208\pi\)
0.924202 + 0.381904i \(0.124731\pi\)
\(234\) 1.54686 + 3.94134i 0.101121 + 0.257653i
\(235\) 1.14334 15.2568i 0.0745833 0.995245i
\(236\) −0.00560406 + 0.0142789i −0.000364793 + 0.000929478i
\(237\) −1.42511 0.686298i −0.0925710 0.0445799i
\(238\) 1.08492 + 29.1346i 0.0703246 + 1.88852i
\(239\) −12.0285 + 5.79262i −0.778059 + 0.374693i −0.780381 0.625304i \(-0.784975\pi\)
0.00232251 + 0.999997i \(0.499261\pi\)
\(240\) 0.150035 + 2.00207i 0.00968470 + 0.129233i
\(241\) −2.44202 0.753263i −0.157304 0.0485219i 0.215103 0.976591i \(-0.430991\pi\)
−0.372407 + 0.928069i \(0.621467\pi\)
\(242\) −18.4806 + 12.5999i −1.18798 + 0.809949i
\(243\) −3.28750 0.495510i −0.210893 0.0317870i
\(244\) 0.112412 0.00719644
\(245\) 26.2214 10.2803i 1.67522 0.656783i
\(246\) −0.584780 −0.0372842
\(247\) −2.03013 0.305994i −0.129174 0.0194699i
\(248\) −10.7809 + 7.35028i −0.684586 + 0.466743i
\(249\) 1.84701 + 0.569726i 0.117049 + 0.0361049i
\(250\) 2.63973 + 35.2247i 0.166951 + 2.22781i
\(251\) −10.6805 + 5.14348i −0.674150 + 0.324653i −0.739449 0.673212i \(-0.764914\pi\)
0.0652996 + 0.997866i \(0.479200\pi\)
\(252\) 0.0949644 0.0254274i 0.00598220 0.00160178i
\(253\) 23.1423 + 11.1447i 1.45494 + 0.700663i
\(254\) 3.89980 9.93652i 0.244695 0.623473i
\(255\) −0.289569 + 3.86403i −0.0181335 + 0.241975i
\(256\) 0.109157 + 0.278126i 0.00682229 + 0.0173829i
\(257\) −24.0984 + 7.43336i −1.50321 + 0.463680i −0.933626 0.358250i \(-0.883374\pi\)
−0.569588 + 0.821930i \(0.692897\pi\)
\(258\) 0.363500 0.455815i 0.0226306 0.0283778i
\(259\) −1.92958 0.675578i −0.119898 0.0419784i
\(260\) −0.0312314 0.0391630i −0.00193689 0.00242878i
\(261\) 9.93280 + 6.77207i 0.614825 + 0.419180i
\(262\) −15.3606 14.2526i −0.948981 0.880526i
\(263\) −1.03470 + 1.79215i −0.0638022 + 0.110509i −0.896162 0.443727i \(-0.853656\pi\)
0.832360 + 0.554236i \(0.186989\pi\)
\(264\) −0.904280 1.56626i −0.0556546 0.0963965i
\(265\) 7.03554 30.8247i 0.432190 1.89355i
\(266\) −1.99573 + 7.44282i −0.122366 + 0.456348i
\(267\) −0.116309 0.509583i −0.00711799 0.0311859i
\(268\) −0.00527014 + 0.00488998i −0.000321925 + 0.000298703i
\(269\) 8.72640 1.31529i 0.532058 0.0801948i 0.122482 0.992471i \(-0.460915\pi\)
0.409576 + 0.912276i \(0.365677\pi\)
\(270\) 4.18774 0.631200i 0.254858 0.0384136i
\(271\) −13.1341 + 12.1867i −0.797840 + 0.740288i −0.969559 0.244858i \(-0.921259\pi\)
0.171718 + 0.985146i \(0.445068\pi\)
\(272\) 6.95677 + 30.4796i 0.421816 + 1.84810i
\(273\) −0.214009 + 0.248592i −0.0129524 + 0.0150455i
\(274\) −0.772470 + 3.38441i −0.0466666 + 0.204460i
\(275\) −28.9432 50.1312i −1.74534 3.02302i
\(276\) 0.00383157 0.00663647i 0.000230633 0.000399468i
\(277\) 17.5773 + 16.3094i 1.05612 + 0.979936i 0.999829 0.0184789i \(-0.00588235\pi\)
0.0562901 + 0.998414i \(0.482073\pi\)
\(278\) −10.2570 6.99310i −0.615174 0.419418i
\(279\) 8.61167 + 10.7987i 0.515567 + 0.646501i
\(280\) 25.4171 15.9643i 1.51896 0.954047i
\(281\) 2.64697 3.31920i 0.157905 0.198007i −0.696585 0.717474i \(-0.745298\pi\)
0.854490 + 0.519467i \(0.173870\pi\)
\(282\) 0.639078 0.197129i 0.0380565 0.0117389i
\(283\) 5.50401 + 14.0240i 0.327180 + 0.833640i 0.995928 + 0.0901515i \(0.0287351\pi\)
−0.668748 + 0.743489i \(0.733170\pi\)
\(284\) 0.00472134 0.0630020i 0.000280160 0.00373848i
\(285\) −0.374162 + 0.953348i −0.0221634 + 0.0564715i
\(286\) 6.61259 + 3.18446i 0.391011 + 0.188301i
\(287\) 4.10909 + 7.77816i 0.242552 + 0.459130i
\(288\) 0.189376 0.0911989i 0.0111591 0.00537394i
\(289\) 3.23871 + 43.2176i 0.190513 + 2.54221i
\(290\) −21.9688 6.77649i −1.29006 0.397929i
\(291\) 0.362847 0.247385i 0.0212705 0.0145020i
\(292\) −0.0723495 0.0109049i −0.00423394 0.000638163i
\(293\) −13.0960 −0.765079 −0.382540 0.923939i \(-0.624950\pi\)
−0.382540 + 0.923939i \(0.624950\pi\)
\(294\) 0.837076 + 0.902801i 0.0488192 + 0.0526524i
\(295\) 4.95738 0.288630
\(296\) −2.15440 0.324723i −0.125222 0.0188742i
\(297\) −3.17172 + 2.16244i −0.184042 + 0.125478i
\(298\) −21.9019 6.75583i −1.26874 0.391355i
\(299\) −0.371016 4.95086i −0.0214564 0.286316i
\(300\) −0.0155596 + 0.00749309i −0.000898331 + 0.000432614i
\(301\) −8.61701 1.63202i −0.496676 0.0940684i
\(302\) −21.4887 10.3484i −1.23654 0.595484i
\(303\) −0.451131 + 1.14946i −0.0259168 + 0.0660349i
\(304\) −0.617500 + 8.23996i −0.0354160 + 0.472594i
\(305\) −13.2727 33.8183i −0.759993 1.93643i
\(306\) 31.4279 9.69422i 1.79661 0.554181i
\(307\) 3.14836 3.94792i 0.179686 0.225319i −0.683829 0.729643i \(-0.739686\pi\)
0.863515 + 0.504323i \(0.168258\pi\)
\(308\) 0.0906916 0.144278i 0.00516763 0.00822097i
\(309\) −0.830758 1.04174i −0.0472602 0.0592624i
\(310\) −21.8243 14.8796i −1.23954 0.845104i
\(311\) −11.4254 10.6012i −0.647876 0.601141i 0.286219 0.958164i \(-0.407601\pi\)
−0.934096 + 0.357023i \(0.883792\pi\)
\(312\) −0.174785 + 0.302736i −0.00989523 + 0.0171390i
\(313\) −1.66874 2.89035i −0.0943229 0.163372i 0.815003 0.579457i \(-0.196735\pi\)
−0.909326 + 0.416085i \(0.863402\pi\)
\(314\) 5.35754 23.4729i 0.302343 1.32465i
\(315\) −18.8623 25.5671i −1.06277 1.44054i
\(316\) −0.0353439 0.154852i −0.00198825 0.00871110i
\(317\) −10.2472 + 9.50800i −0.575539 + 0.534022i −0.913341 0.407195i \(-0.866507\pi\)
0.337802 + 0.941217i \(0.390317\pi\)
\(318\) 1.36665 0.205990i 0.0766381 0.0115513i
\(319\) 20.6062 3.10588i 1.15372 0.173896i
\(320\) 23.4468 21.7555i 1.31072 1.21617i
\(321\) −0.272898 1.19564i −0.0152317 0.0667343i
\(322\) −18.6209 0.700085i −1.03770 0.0390142i
\(323\) −3.54872 + 15.5480i −0.197456 + 0.865112i
\(324\) −0.0551637 0.0955464i −0.00306465 0.00530813i
\(325\) −5.59432 + 9.68965i −0.310317 + 0.537485i
\(326\) 7.74964 + 7.19062i 0.429213 + 0.398252i
\(327\) 0.284443 + 0.193930i 0.0157297 + 0.0107244i
\(328\) 5.84504 + 7.32945i 0.322738 + 0.404701i
\(329\) −7.11265 7.11519i −0.392133 0.392273i
\(330\) 2.28270 2.86242i 0.125659 0.157571i
\(331\) 23.9417 7.38503i 1.31595 0.405918i 0.444229 0.895913i \(-0.353478\pi\)
0.871725 + 0.489995i \(0.163001\pi\)
\(332\) 0.0709099 + 0.180676i 0.00389169 + 0.00991586i
\(333\) −0.172349 + 2.29984i −0.00944468 + 0.126030i
\(334\) −6.39830 + 16.3026i −0.350099 + 0.892039i
\(335\) 2.09337 + 1.00811i 0.114373 + 0.0550791i
\(336\) 1.06209 + 0.784152i 0.0579418 + 0.0427790i
\(337\) −15.3551 + 7.39462i −0.836445 + 0.402811i −0.802528 0.596614i \(-0.796512\pi\)
−0.0339164 + 0.999425i \(0.510798\pi\)
\(338\) −0.106013 1.41464i −0.00576633 0.0769464i
\(339\) 1.95303 + 0.602429i 0.106074 + 0.0327195i
\(340\) −0.321489 + 0.219188i −0.0174352 + 0.0118871i
\(341\) 23.6750 + 3.56843i 1.28207 + 0.193241i
\(342\) 8.69272 0.470049
\(343\) 6.12624 17.4777i 0.330786 0.943706i
\(344\) −9.34633 −0.503920
\(345\) −2.44893 0.369117i −0.131846 0.0198726i
\(346\) 3.06244 2.08794i 0.164638 0.112248i
\(347\) −5.57270 1.71895i −0.299158 0.0922780i 0.141543 0.989932i \(-0.454794\pi\)
−0.440701 + 0.897654i \(0.645270\pi\)
\(348\) −0.000464602 0.00619968i −2.49053e−5 0.000332338i
\(349\) −2.61616 + 1.25988i −0.140040 + 0.0674397i −0.502591 0.864524i \(-0.667620\pi\)
0.362551 + 0.931964i \(0.381906\pi\)
\(350\) 33.7840 + 24.9430i 1.80583 + 1.33326i
\(351\) 0.668497 + 0.321931i 0.0356817 + 0.0171834i
\(352\) 0.133114 0.339169i 0.00709500 0.0180778i
\(353\) −0.707990 + 9.44747i −0.0376825 + 0.502838i 0.946148 + 0.323735i \(0.104939\pi\)
−0.983830 + 0.179103i \(0.942680\pi\)
\(354\) 0.0791700 + 0.201722i 0.00420784 + 0.0107214i
\(355\) −19.5111 + 6.01838i −1.03554 + 0.319423i
\(356\) 0.0327247 0.0410355i 0.00173441 0.00217488i
\(357\) 1.80139 + 1.80203i 0.0953396 + 0.0953737i
\(358\) 17.0011 + 21.3188i 0.898539 + 1.12673i
\(359\) 1.06621 + 0.726931i 0.0562725 + 0.0383660i 0.591130 0.806577i \(-0.298682\pi\)
−0.534857 + 0.844943i \(0.679635\pi\)
\(360\) −24.8205 23.0301i −1.30816 1.21379i
\(361\) 7.39246 12.8041i 0.389077 0.673901i
\(362\) 14.2208 + 24.6311i 0.747426 + 1.29458i
\(363\) −0.434982 + 1.90578i −0.0228306 + 0.100028i
\(364\) −0.0329154 0.00123751i −0.00172524 6.48632e-5i
\(365\) 5.26178 + 23.0534i 0.275414 + 1.20667i
\(366\) 1.16414 1.08016i 0.0608506 0.0564611i
\(367\) 16.7669 2.52720i 0.875225 0.131919i 0.303960 0.952685i \(-0.401691\pi\)
0.571265 + 0.820766i \(0.306453\pi\)
\(368\) −19.7586 + 2.97813i −1.02999 + 0.155246i
\(369\) 7.27449 6.74974i 0.378695 0.351378i
\(370\) −0.981436 4.29995i −0.0510224 0.223544i
\(371\) −12.3430 16.7304i −0.640815 0.868599i
\(372\) 0.00158946 0.00696386i 8.24095e−5 0.000361059i
\(373\) −4.38014 7.58663i −0.226795 0.392821i 0.730061 0.683382i \(-0.239491\pi\)
−0.956856 + 0.290561i \(0.906158\pi\)
\(374\) 28.5056 49.3732i 1.47399 2.55303i
\(375\) 2.26302 + 2.09978i 0.116862 + 0.108432i
\(376\) −8.85852 6.03964i −0.456843 0.311470i
\(377\) −2.51134 3.14912i −0.129340 0.162188i
\(378\) 1.48205 2.35773i 0.0762285 0.121269i
\(379\) 13.9696 17.5173i 0.717570 0.899804i −0.280628 0.959817i \(-0.590543\pi\)
0.998198 + 0.0600128i \(0.0191142\pi\)
\(380\) −0.0982718 + 0.0303128i −0.00504124 + 0.00155502i
\(381\) −0.340826 0.868409i −0.0174610 0.0444900i
\(382\) 2.49050 33.2335i 0.127425 1.70037i
\(383\) −3.27819 + 8.35269i −0.167508 + 0.426803i −0.989837 0.142210i \(-0.954579\pi\)
0.822329 + 0.569013i \(0.192674\pi\)
\(384\) 1.27544 + 0.614219i 0.0650870 + 0.0313443i
\(385\) −54.1129 10.2488i −2.75785 0.522325i
\(386\) 25.2777 12.1731i 1.28660 0.619595i
\(387\) 0.739344 + 9.86585i 0.0375829 + 0.501510i
\(388\) 0.0421392 + 0.0129982i 0.00213929 + 0.000659884i
\(389\) −1.12199 + 0.764960i −0.0568871 + 0.0387850i −0.591430 0.806357i \(-0.701436\pi\)
0.534543 + 0.845142i \(0.320484\pi\)
\(390\) −0.699749 0.105470i −0.0354332 0.00534069i
\(391\) −38.5651 −1.95032
\(392\) 2.94862 19.5154i 0.148928 0.985676i
\(393\) −1.83132 −0.0923778
\(394\) −18.9845 2.86146i −0.956427 0.144158i
\(395\) −42.4129 + 28.9166i −2.13402 + 1.45495i
\(396\) −0.183701 0.0566641i −0.00923130 0.00284748i
\(397\) −2.81346 37.5430i −0.141203 1.88423i −0.397458 0.917620i \(-0.630108\pi\)
0.256255 0.966609i \(-0.417511\pi\)
\(398\) 23.3347 11.2374i 1.16966 0.563279i
\(399\) 0.314575 + 0.595463i 0.0157484 + 0.0298104i
\(400\) 40.5719 + 19.5384i 2.02860 + 0.976921i
\(401\) −13.1171 + 33.4217i −0.655035 + 1.66900i 0.0849559 + 0.996385i \(0.472925\pi\)
−0.739991 + 0.672617i \(0.765170\pi\)
\(402\) −0.00758999 + 0.101281i −0.000378554 + 0.00505146i
\(403\) −1.69070 4.30783i −0.0842197 0.214588i
\(404\) −0.118487 + 0.0365485i −0.00589497 + 0.00181836i
\(405\) −22.2311 + 27.8769i −1.10467 + 1.38522i
\(406\) −12.8020 + 8.04084i −0.635353 + 0.399060i
\(407\) 2.49260 + 3.12562i 0.123553 + 0.154931i
\(408\) 2.24356 + 1.52963i 0.111073 + 0.0757281i
\(409\) 26.2744 + 24.3791i 1.29919 + 1.20547i 0.964786 + 0.263038i \(0.0847244\pi\)
0.334401 + 0.942431i \(0.391466\pi\)
\(410\) −9.48889 + 16.4352i −0.468623 + 0.811679i
\(411\) 0.151695 + 0.262743i 0.00748255 + 0.0129602i
\(412\) 0.0297729 0.130443i 0.00146680 0.00642649i
\(413\) 2.12679 2.47048i 0.104653 0.121565i
\(414\) 4.67757 + 20.4938i 0.229890 + 1.00721i
\(415\) 45.9824 42.6654i 2.25719 2.09436i
\(416\) −0.0696382 + 0.0104963i −0.00341430 + 0.000514622i
\(417\) −1.07282 + 0.161702i −0.0525362 + 0.00791856i
\(418\) 11.0459 10.2491i 0.540271 0.501298i
\(419\) −5.57728 24.4357i −0.272468 1.19376i −0.907089 0.420938i \(-0.861701\pi\)
0.634621 0.772823i \(-0.281156\pi\)
\(420\) −0.00425550 + 0.0158704i −0.000207647 + 0.000774395i
\(421\) 1.09159 4.78257i 0.0532009 0.233088i −0.941336 0.337469i \(-0.890429\pi\)
0.994537 + 0.104381i \(0.0332862\pi\)
\(422\) 8.08857 + 14.0098i 0.393746 + 0.681987i
\(423\) −5.67460 + 9.82870i −0.275908 + 0.477888i
\(424\) −16.2419 15.0703i −0.788776 0.731877i
\(425\) 71.8095 + 48.9589i 3.48327 + 2.37485i
\(426\) −0.556490 0.697817i −0.0269620 0.0338093i
\(427\) −22.5474 7.89420i −1.09114 0.382027i
\(428\) 0.0767826 0.0962823i 0.00371143 0.00465398i
\(429\) 0.612937 0.189066i 0.0295929 0.00912820i
\(430\) −6.91237 17.6124i −0.333344 0.849346i
\(431\) −0.794564 + 10.6027i −0.0382728 + 0.510715i 0.944818 + 0.327596i \(0.106238\pi\)
−0.983091 + 0.183119i \(0.941381\pi\)
\(432\) 1.09100 2.77983i 0.0524910 0.133745i
\(433\) 16.5808 + 7.98491i 0.796824 + 0.383730i 0.787569 0.616227i \(-0.211340\pi\)
0.00925541 + 0.999957i \(0.497054\pi\)
\(434\) −16.7781 + 4.49247i −0.805377 + 0.215646i
\(435\) −1.81027 + 0.871780i −0.0867958 + 0.0417987i
\(436\) 0.00258339 + 0.0344729i 0.000123722 + 0.00165095i
\(437\) −9.74010 3.00442i −0.465932 0.143721i
\(438\) −0.854038 + 0.582274i −0.0408075 + 0.0278221i
\(439\) 24.6912 + 3.72160i 1.17845 + 0.177622i 0.708916 0.705293i \(-0.249185\pi\)
0.469532 + 0.882916i \(0.344423\pi\)
\(440\) −58.6929 −2.79807
\(441\) −20.8334 1.56875i −0.992068 0.0747025i
\(442\) −11.0195 −0.524143
\(443\) 0.650488 + 0.0980453i 0.0309056 + 0.00465827i 0.164477 0.986381i \(-0.447406\pi\)
−0.133571 + 0.991039i \(0.542645\pi\)
\(444\) 0.000985459 0 0.000671875i 4.67678e−5 0 3.18858e-5i
\(445\) −16.2091 4.99984i −0.768384 0.237015i
\(446\) 2.65089 + 35.3737i 0.125523 + 1.67499i
\(447\) −1.80475 + 0.869122i −0.0853618 + 0.0411081i
\(448\) −0.782671 21.0181i −0.0369777 0.993010i
\(449\) −33.9786 16.3632i −1.60355 0.772229i −0.603858 0.797092i \(-0.706371\pi\)
−0.999691 + 0.0248631i \(0.992085\pi\)
\(450\) 17.3073 44.0982i 0.815873 2.07881i
\(451\) 1.28550 17.1538i 0.0605319 0.807742i
\(452\) 0.0749803 + 0.191047i 0.00352678 + 0.00898608i
\(453\) −1.99184 + 0.614401i −0.0935848 + 0.0288671i
\(454\) 5.68140 7.12425i 0.266641 0.334358i
\(455\) 3.51409 + 10.0485i 0.164743 + 0.471079i
\(456\) 0.447472 + 0.561112i 0.0209548 + 0.0262765i
\(457\) 8.70214 + 5.93302i 0.407069 + 0.277535i 0.749495 0.662010i \(-0.230296\pi\)
−0.342426 + 0.939545i \(0.611249\pi\)
\(458\) −15.1680 14.0739i −0.708756 0.657629i
\(459\) 2.88176 4.99136i 0.134509 0.232977i
\(460\) −0.124345 0.215372i −0.00579762 0.0100418i
\(461\) 3.94517 17.2849i 0.183745 0.805039i −0.796082 0.605189i \(-0.793097\pi\)
0.979827 0.199850i \(-0.0640454\pi\)
\(462\) −0.447156 2.36559i −0.0208036 0.110057i
\(463\) −1.96800 8.62236i −0.0914606 0.400715i 0.908388 0.418129i \(-0.137314\pi\)
−0.999848 + 0.0174138i \(0.994457\pi\)
\(464\) −11.8836 + 11.0264i −0.551683 + 0.511887i
\(465\) −2.28269 + 0.344061i −0.105857 + 0.0159554i
\(466\) 32.9995 4.97387i 1.52867 0.230410i
\(467\) 4.37882 4.06295i 0.202627 0.188011i −0.572332 0.820022i \(-0.693961\pi\)
0.774959 + 0.632012i \(0.217770\pi\)
\(468\) 0.00826834 + 0.0362260i 0.000382204 + 0.00167455i
\(469\) 1.40048 0.610723i 0.0646679 0.0282006i
\(470\) 4.82963 21.1600i 0.222774 0.976037i
\(471\) −1.05209 1.82228i −0.0484779 0.0839663i
\(472\) 1.73699 3.00856i 0.0799515 0.138480i
\(473\) 12.5717 + 11.6648i 0.578048 + 0.536350i
\(474\) −1.85399 1.26403i −0.0851566 0.0580588i
\(475\) 14.3222 + 17.9595i 0.657148 + 0.824037i
\(476\) −0.0286929 + 0.254247i −0.00131514 + 0.0116534i
\(477\) −14.6231 + 18.3368i −0.669548 + 0.839586i
\(478\) −18.0979 + 5.58246i −0.827778 + 0.255336i
\(479\) 1.04706 + 2.66786i 0.0478412 + 0.121897i 0.952797 0.303608i \(-0.0981914\pi\)
−0.904956 + 0.425506i \(0.860096\pi\)
\(480\) −0.00262530 + 0.0350322i −0.000119828 + 0.00159899i
\(481\) 0.282307 0.719307i 0.0128721 0.0327976i
\(482\) −3.26631 1.57297i −0.148776 0.0716469i
\(483\) −1.23458 + 1.06205i −0.0561752 + 0.0483252i
\(484\) −0.176854 + 0.0851683i −0.00803881 + 0.00387129i
\(485\) −1.06504 14.2120i −0.0483610 0.645333i
\(486\) −4.50681 1.39017i −0.204433 0.0630593i
\(487\) 19.0855 13.0123i 0.864847 0.589643i −0.0475867 0.998867i \(-0.515153\pi\)
0.912434 + 0.409224i \(0.134201\pi\)
\(488\) −25.1744 3.79442i −1.13959 0.171765i
\(489\) 0.923926 0.0417814
\(490\) 38.9560 8.87676i 1.75985 0.401011i
\(491\) 0.270745 0.0122185 0.00610927 0.999981i \(-0.498055\pi\)
0.00610927 + 0.999981i \(0.498055\pi\)
\(492\) −0.00507469 0.000764886i −0.000228785 3.44837e-5i
\(493\) −25.8511 + 17.6250i −1.16428 + 0.793790i
\(494\) −2.78310 0.858473i −0.125218 0.0386245i
\(495\) 4.64291 + 61.9554i 0.208683 + 2.78469i
\(496\) −16.7809 + 8.08127i −0.753486 + 0.362860i
\(497\) −5.37135 + 12.3052i −0.240938 + 0.551966i
\(498\) 2.47045 + 1.18971i 0.110704 + 0.0533121i
\(499\) 8.14588 20.7554i 0.364660 0.929138i −0.624331 0.781160i \(-0.714628\pi\)
0.988991 0.147978i \(-0.0472765\pi\)
\(500\) −0.0231661 + 0.309131i −0.00103602 + 0.0138247i
\(501\) 0.559184 + 1.42478i 0.0249825 + 0.0636544i
\(502\) −16.0698 + 4.95687i −0.717229 + 0.221236i
\(503\) 18.4646 23.1538i 0.823294 1.03238i −0.175557 0.984469i \(-0.556173\pi\)
0.998852 0.0479093i \(-0.0152559\pi\)
\(504\) −22.1253 + 2.48891i −0.985540 + 0.110865i
\(505\) 24.9854 + 31.3307i 1.11183 + 1.39420i
\(506\) 30.1068 + 20.5264i 1.33841 + 0.912512i
\(507\) −0.0908840 0.0843280i −0.00403630 0.00374514i
\(508\) 0.0468391 0.0811276i 0.00207815 0.00359946i
\(509\) 4.25172 + 7.36420i 0.188454 + 0.326412i 0.944735 0.327835i \(-0.106319\pi\)
−0.756281 + 0.654247i \(0.772986\pi\)
\(510\) −1.22318 + 5.35909i −0.0541632 + 0.237305i
\(511\) 13.7459 + 7.26808i 0.608083 + 0.321521i
\(512\) −4.98726 21.8506i −0.220408 0.965670i
\(513\) 1.11668 1.03612i 0.0493025 0.0457460i
\(514\) −35.3759 + 5.33207i −1.56037 + 0.235187i
\(515\) −42.7583 + 6.44477i −1.88415 + 0.283991i
\(516\) 0.00375064 0.00348008i 0.000165113 0.000153202i
\(517\) 4.37769 + 19.1799i 0.192531 + 0.843532i
\(518\) −2.56391 1.35565i −0.112652 0.0595640i
\(519\) 0.0720815 0.315810i 0.00316403 0.0138625i
\(520\) 5.67226 + 9.82464i 0.248745 + 0.430839i
\(521\) 8.79176 15.2278i 0.385174 0.667141i −0.606619 0.794993i \(-0.707475\pi\)
0.991793 + 0.127851i \(0.0408081\pi\)
\(522\) 12.5015 + 11.5997i 0.547177 + 0.507706i
\(523\) −28.6851 19.5571i −1.25431 0.855174i −0.260415 0.965497i \(-0.583859\pi\)
−0.993896 + 0.110323i \(0.964812\pi\)
\(524\) −0.114656 0.143774i −0.00500878 0.00628081i
\(525\) 3.64711 0.410269i 0.159173 0.0179056i
\(526\) −1.83036 + 2.29519i −0.0798073 + 0.100075i
\(527\) −34.3503 + 10.5957i −1.49632 + 0.461554i
\(528\) −0.943168 2.40315i −0.0410461 0.104584i
\(529\) 0.123204 1.64404i 0.00535668 0.0714799i
\(530\) 16.3865 41.7522i 0.711786 1.81360i
\(531\) −3.31320 1.59555i −0.143780 0.0692410i
\(532\) −0.0270539 + 0.0619779i −0.00117294 + 0.00268708i
\(533\) −2.99562 + 1.44262i −0.129755 + 0.0624867i
\(534\) −0.0554115 0.739415i −0.00239789 0.0319976i
\(535\) −38.0317 11.7312i −1.64425 0.507185i
\(536\) 1.34529 0.917205i 0.0581078 0.0396172i
\(537\) 2.35647 + 0.355180i 0.101689 + 0.0153272i
\(538\) 12.5192 0.539740
\(539\) −28.3227 + 22.5700i −1.21995 + 0.972159i
\(540\) 0.0371666 0.00159939
\(541\) 29.0171 + 4.37362i 1.24754 + 0.188037i 0.739418 0.673247i \(-0.235101\pi\)
0.508125 + 0.861284i \(0.330339\pi\)
\(542\) −21.0007 + 14.3180i −0.902058 + 0.615013i
\(543\) 2.37524 + 0.732663i 0.101931 + 0.0314416i
\(544\) 0.0408808 + 0.545517i 0.00175275 + 0.0233888i
\(545\) 10.0659 4.84748i 0.431176 0.207643i
\(546\) −0.352764 + 0.303468i −0.0150969 + 0.0129872i
\(547\) 15.2879 + 7.36226i 0.653663 + 0.314787i 0.731161 0.682205i \(-0.238979\pi\)
−0.0774982 + 0.996992i \(0.524693\pi\)
\(548\) −0.0111302 + 0.0283593i −0.000475459 + 0.00121145i
\(549\) −2.01392 + 26.8738i −0.0859519 + 1.14695i
\(550\) −30.0012 76.4417i −1.27925 3.25949i
\(551\) −7.90210 + 2.43747i −0.336641 + 0.103840i
\(552\) −1.08208 + 1.35689i −0.0460564 + 0.0577529i
\(553\) −3.78535 + 33.5419i −0.160969 + 1.42635i
\(554\) 21.2085 + 26.5946i 0.901063 + 1.12990i
\(555\) −0.318484 0.217138i −0.0135189 0.00921701i
\(556\) −0.0798627 0.0741017i −0.00338693 0.00314261i
\(557\) −1.59720 + 2.76643i −0.0676755 + 0.117217i −0.897878 0.440245i \(-0.854892\pi\)
0.830202 + 0.557462i \(0.188225\pi\)
\(558\) 9.79695 + 16.9688i 0.414738 + 0.718347i
\(559\) 0.737618 3.23171i 0.0311979 0.136687i
\(560\) 39.2725 17.1260i 1.65957 0.723707i
\(561\) −1.10872 4.85761i −0.0468101 0.205089i
\(562\) 4.41486 4.09639i 0.186230 0.172796i
\(563\) 9.99929 1.50715i 0.421420 0.0635188i 0.0650907 0.997879i \(-0.479266\pi\)
0.356329 + 0.934361i \(0.384028\pi\)
\(564\) 0.00580372 0.000874770i 0.000244381 3.68345e-5i
\(565\) 48.6219 45.1145i 2.04554 1.89798i
\(566\) 4.75570 + 20.8361i 0.199897 + 0.875806i
\(567\) 4.35483 + 23.0384i 0.182886 + 0.967522i
\(568\) −3.18394 + 13.9497i −0.133595 + 0.585318i
\(569\) 9.61914 + 16.6608i 0.403255 + 0.698459i 0.994117 0.108314i \(-0.0345453\pi\)
−0.590861 + 0.806773i \(0.701212\pi\)
\(570\) −0.726429 + 1.25821i −0.0304268 + 0.0527007i
\(571\) 0.417314 + 0.387211i 0.0174640 + 0.0162043i 0.688857 0.724898i \(-0.258113\pi\)
−0.671392 + 0.741102i \(0.734303\pi\)
\(572\) 0.0532184 + 0.0362837i 0.00222517 + 0.00151710i
\(573\) −1.81598 2.27717i −0.0758637 0.0951301i
\(574\) 4.11953 + 11.7797i 0.171946 + 0.491676i
\(575\) −34.6341 + 43.4297i −1.44434 + 1.81115i
\(576\) −22.6725 + 6.99353i −0.944685 + 0.291397i
\(577\) −5.12224 13.0513i −0.213242 0.543331i 0.783729 0.621102i \(-0.213315\pi\)
−0.996971 + 0.0777711i \(0.975220\pi\)
\(578\) −4.59447 + 61.3089i −0.191105 + 2.55011i
\(579\) 0.895812 2.28249i 0.0372287 0.0948572i
\(580\) −0.181781 0.0875410i −0.00754803 0.00363494i
\(581\) −1.53492 41.2192i −0.0636793 1.71006i
\(582\) 0.561294 0.270305i 0.0232664 0.0112045i
\(583\) 3.03820 + 40.5419i 0.125829 + 1.67908i
\(584\) 15.8344 + 4.88426i 0.655231 + 0.202112i
\(585\) 9.92205 6.76474i 0.410226 0.279687i
\(586\) −18.3707 2.76893i −0.758885 0.114383i
\(587\) −11.9799 −0.494465 −0.247233 0.968956i \(-0.579521\pi\)
−0.247233 + 0.968956i \(0.579521\pi\)
\(588\) 0.00608324 + 0.00892934i 0.000250868 + 0.000368240i
\(589\) −9.50103 −0.391483
\(590\) 6.95404 + 1.04815i 0.286293 + 0.0431517i
\(591\) −1.38635 + 0.945199i −0.0570269 + 0.0388803i
\(592\) −2.97184 0.916691i −0.122142 0.0376758i
\(593\) 0.459775 + 6.13527i 0.0188807 + 0.251945i 0.998655 + 0.0518413i \(0.0165090\pi\)
−0.979775 + 0.200104i \(0.935872\pi\)
\(594\) −4.90639 + 2.36279i −0.201311 + 0.0969465i
\(595\) 79.8762 21.3874i 3.27460 0.876799i
\(596\) −0.181226 0.0872741i −0.00742333 0.00357488i
\(597\) 0.826953 2.10704i 0.0338449 0.0862354i
\(598\) 0.526326 7.02333i 0.0215231 0.287205i
\(599\) 2.93912 + 7.48875i 0.120089 + 0.305982i 0.978260 0.207382i \(-0.0664943\pi\)
−0.858171 + 0.513364i \(0.828399\pi\)
\(600\) 3.73744 1.15285i 0.152581 0.0470649i
\(601\) 9.77742 12.2605i 0.398829 0.500116i −0.541349 0.840798i \(-0.682086\pi\)
0.940179 + 0.340681i \(0.110658\pi\)
\(602\) −11.7426 4.11126i −0.478591 0.167563i
\(603\) −1.07461 1.34752i −0.0437614 0.0548751i
\(604\) −0.172942 0.117910i −0.00703691 0.00479769i
\(605\) 46.5037 + 43.1491i 1.89065 + 1.75426i
\(606\) −0.875863 + 1.51704i −0.0355795 + 0.0616255i
\(607\) −0.846769 1.46665i −0.0343693 0.0595294i 0.848329 0.529469i \(-0.177609\pi\)
−0.882698 + 0.469940i \(0.844276\pi\)
\(608\) −0.0321736 + 0.140962i −0.00130481 + 0.00571675i
\(609\) −0.342187 + 1.27615i −0.0138661 + 0.0517120i
\(610\) −11.4682 50.2454i −0.464333 2.03437i
\(611\) 2.78747 2.58639i 0.112769 0.104634i
\(612\) 0.285409 0.0430185i 0.0115370 0.00173892i
\(613\) −4.81243 + 0.725356i −0.194372 + 0.0292969i −0.245507 0.969395i \(-0.578954\pi\)
0.0511347 + 0.998692i \(0.483716\pi\)
\(614\) 5.25112 4.87233i 0.211918 0.196631i
\(615\) 0.369068 + 1.61699i 0.0148823 + 0.0652034i
\(616\) −25.1802 + 29.2493i −1.01454 + 1.17849i
\(617\) 4.92365 21.5719i 0.198219 0.868452i −0.773778 0.633457i \(-0.781635\pi\)
0.971996 0.234995i \(-0.0755075\pi\)
\(618\) −0.945100 1.63696i −0.0380175 0.0658483i
\(619\) 9.13703 15.8258i 0.367248 0.636092i −0.621886 0.783108i \(-0.713633\pi\)
0.989134 + 0.147015i \(0.0469666\pi\)
\(620\) −0.169928 0.157670i −0.00682447 0.00633218i
\(621\) 3.04363 + 2.07511i 0.122137 + 0.0832714i
\(622\) −13.7857 17.2867i −0.552757 0.693135i
\(623\) −9.44559 + 5.93270i −0.378430 + 0.237689i
\(624\) −0.311115 + 0.390125i −0.0124546 + 0.0156175i
\(625\) 42.2770 13.0407i 1.69108 0.521629i
\(626\) −1.72974 4.40730i −0.0691342 0.176151i
\(627\) 0.0984126 1.31322i 0.00393022 0.0524451i
\(628\) 0.0771947 0.196689i 0.00308040 0.00784874i
\(629\) −5.40794 2.60433i −0.215629 0.103841i
\(630\) −21.0536 39.8526i −0.838796 1.58777i
\(631\) 37.2348 17.9313i 1.48229 0.713835i 0.494438 0.869213i \(-0.335374\pi\)
0.987855 + 0.155378i \(0.0496595\pi\)
\(632\) 2.68821 + 35.8717i 0.106931 + 1.42690i
\(633\) 1.35100 + 0.416729i 0.0536975 + 0.0165635i
\(634\) −16.3847 + 11.1709i −0.650719 + 0.443653i
\(635\) −29.9370 4.51228i −1.18801 0.179064i
\(636\) 0.0121292 0.000480953
\(637\) 6.51520 + 2.55972i 0.258142 + 0.101420i
\(638\) 29.5623 1.17038
\(639\) 14.9770 + 2.25742i 0.592482 + 0.0893023i
\(640\) 37.9584 25.8796i 1.50044 1.02298i
\(641\) 35.4632 + 10.9389i 1.40071 + 0.432062i 0.900883 0.434062i \(-0.142920\pi\)
0.499829 + 0.866124i \(0.333396\pi\)
\(642\) −0.130013 1.73490i −0.00513121 0.0684712i
\(643\) 15.0203 7.23340i 0.592343 0.285258i −0.113599 0.993527i \(-0.536238\pi\)
0.705943 + 0.708269i \(0.250524\pi\)
\(644\) −0.160676 0.0304313i −0.00633150 0.00119916i
\(645\) −1.48980 0.717450i −0.0586608 0.0282496i
\(646\) −8.26537 + 21.0598i −0.325197 + 0.828587i
\(647\) 2.13577 28.4999i 0.0839659 1.12045i −0.782981 0.622046i \(-0.786302\pi\)
0.866947 0.498401i \(-0.166079\pi\)
\(648\) 9.12863 + 23.2594i 0.358607 + 0.913715i
\(649\) −6.09130 + 1.87892i −0.239105 + 0.0737540i
\(650\) −9.89622 + 12.4095i −0.388162 + 0.486739i
\(651\) −0.807851 + 1.28518i −0.0316622 + 0.0503700i
\(652\) 0.0578457 + 0.0725362i 0.00226541 + 0.00284074i
\(653\) 31.6299 + 21.5649i 1.23778 + 0.843901i 0.992100 0.125451i \(-0.0400378\pi\)
0.245676 + 0.969352i \(0.420990\pi\)
\(654\) 0.358004 + 0.332179i 0.0139990 + 0.0129892i
\(655\) −29.7157 + 51.4691i −1.16109 + 2.01107i
\(656\) 6.69092 + 11.5890i 0.261237 + 0.452475i
\(657\) 3.90317 17.1009i 0.152277 0.667170i
\(658\) −8.47298 11.4848i −0.330311 0.447723i
\(659\) 1.03511 + 4.53509i 0.0403220 + 0.176662i 0.991079 0.133275i \(-0.0425492\pi\)
−0.950757 + 0.309937i \(0.899692\pi\)
\(660\) 0.0235532 0.0218541i 0.000916806 0.000850671i
\(661\) 21.1957 3.19474i 0.824419 0.124261i 0.276735 0.960946i \(-0.410748\pi\)
0.547684 + 0.836685i \(0.315510\pi\)
\(662\) 35.1460 5.29740i 1.36599 0.205889i
\(663\) −0.705969 + 0.655044i −0.0274176 + 0.0254398i
\(664\) −9.78145 42.8553i −0.379594 1.66311i
\(665\) 21.8399 + 0.821108i 0.846915 + 0.0318412i
\(666\) −0.728026 + 3.18969i −0.0282105 + 0.123598i
\(667\) −9.99867 17.3182i −0.387150 0.670564i
\(668\) −0.0768477 + 0.133104i −0.00297333 + 0.00514995i
\(669\) 2.27259 + 2.10866i 0.0878635 + 0.0815254i
\(670\) 2.72335 + 1.85675i 0.105212 + 0.0717325i
\(671\) 29.1262 + 36.5231i 1.12441 + 1.40996i
\(672\) 0.0163318 + 0.0163377i 0.000630014 + 0.000630239i
\(673\) −11.9658 + 15.0046i −0.461247 + 0.578385i −0.957004 0.290076i \(-0.906319\pi\)
0.495757 + 0.868461i \(0.334891\pi\)
\(674\) −23.1030 + 7.12634i −0.889895 + 0.274496i
\(675\) −3.03295 7.72784i −0.116738 0.297445i
\(676\) 0.000930363 0.0124148i 3.57832e−5 0.000477494i
\(677\) −0.458544 + 1.16835i −0.0176233 + 0.0449034i −0.939415 0.342783i \(-0.888630\pi\)
0.921791 + 0.387686i \(0.126726\pi\)
\(678\) 2.61226 + 1.25800i 0.100323 + 0.0483132i
\(679\) −7.53938 5.56640i −0.289335 0.213619i
\(680\) 79.3952 38.2347i 3.04467 1.46623i
\(681\) −0.0595130 0.794146i −0.00228054 0.0304317i
\(682\) 32.4559 + 10.0113i 1.24280 + 0.383353i
\(683\) 41.7754 28.4820i 1.59849 1.08983i 0.656435 0.754383i \(-0.272064\pi\)
0.942058 0.335451i \(-0.108889\pi\)
\(684\) 0.0754349 + 0.0113700i 0.00288433 + 0.000434742i
\(685\) 9.84585 0.376191
\(686\) 12.2890 23.2218i 0.469197 0.886611i
\(687\) −1.80836 −0.0689932
\(688\) −13.1923 1.98842i −0.502952 0.0758078i
\(689\) 6.49272 4.42666i 0.247353 0.168642i
\(690\) −3.35723 1.03557i −0.127807 0.0394234i
\(691\) 0.393981 + 5.25731i 0.0149877 + 0.199998i 0.999671 + 0.0256454i \(0.00816408\pi\)
−0.984683 + 0.174352i \(0.944217\pi\)
\(692\) 0.0293067 0.0141134i 0.00111407 0.000536509i
\(693\) 32.8670 + 24.2661i 1.24851 + 0.921791i
\(694\) −7.45374 3.58953i −0.282940 0.136257i
\(695\) −12.8634 + 32.7754i −0.487937 + 1.24324i
\(696\) −0.105222 + 1.40408i −0.00398841 + 0.0532217i
\(697\) 9.43571 + 24.0418i 0.357403 + 0.910648i
\(698\) −3.93624 + 1.21417i −0.148989 + 0.0459570i
\(699\) 1.81846 2.28028i 0.0687806 0.0862481i
\(700\) 0.260550 + 0.260643i 0.00984786 + 0.00985139i
\(701\) −3.12885 3.92346i −0.118175 0.148187i 0.719225 0.694777i \(-0.244497\pi\)
−0.837400 + 0.546590i \(0.815926\pi\)
\(702\) 0.869677 + 0.592936i 0.0328238 + 0.0223789i
\(703\) −1.16295 1.07906i −0.0438615 0.0406975i
\(704\) −20.5643 + 35.6184i −0.775046 + 1.34242i
\(705\) −0.948425 1.64272i −0.0357197 0.0618684i
\(706\) −2.99065 + 13.1029i −0.112554 + 0.493133i
\(707\) 26.3326 + 0.990018i 0.990339 + 0.0372335i
\(708\) 0.000423183 0.00185408i 1.59042e−5 6.96807e-5i
\(709\) −33.9893 + 31.5374i −1.27649 + 1.18441i −0.303692 + 0.952770i \(0.598220\pi\)
−0.972801 + 0.231643i \(0.925590\pi\)
\(710\) −28.6420 + 4.31708i −1.07491 + 0.162017i
\(711\) 37.6530 5.67527i 1.41210 0.212839i
\(712\) −8.71374 + 8.08517i −0.326561 + 0.303005i
\(713\) −5.11252 22.3994i −0.191466 0.838865i
\(714\) 2.14591 + 2.90870i 0.0803088 + 0.108855i
\(715\) 4.63208 20.2944i 0.173230 0.758969i
\(716\) 0.119650 + 0.207240i 0.00447154 + 0.00774493i
\(717\) −0.827607 + 1.43346i −0.0309076 + 0.0535335i
\(718\) 1.34195 + 1.24514i 0.0500810 + 0.0464684i
\(719\) 0.466169 + 0.317828i 0.0173852 + 0.0118530i 0.571981 0.820267i \(-0.306175\pi\)
−0.554596 + 0.832120i \(0.687127\pi\)
\(720\) −30.1345 37.7874i −1.12304 1.40825i
\(721\) −15.1322 + 24.0733i −0.563554 + 0.896535i
\(722\) 13.0771 16.3981i 0.486679 0.610276i
\(723\) −0.302762 + 0.0933898i −0.0112598 + 0.00347320i
\(724\) 0.0911897 + 0.232347i 0.00338904 + 0.00863513i
\(725\) −3.36782 + 44.9404i −0.125078 + 1.66905i
\(726\) −1.01312 + 2.58139i −0.0376004 + 0.0958044i
\(727\) −23.7016 11.4141i −0.879045 0.423326i −0.0607692 0.998152i \(-0.519355\pi\)
−0.818276 + 0.574826i \(0.805070\pi\)
\(728\) 7.32954 + 1.38818i 0.271651 + 0.0514495i
\(729\) 23.5815 11.3563i 0.873389 0.420602i
\(730\) 2.50680 + 33.4509i 0.0927809 + 1.23807i
\(731\) −24.6050 7.58962i −0.910047 0.280712i
\(732\) 0.0115152 0.00785092i 0.000425614 0.000290178i
\(733\) 24.7208 + 3.72606i 0.913084 + 0.137625i 0.588748 0.808317i \(-0.299621\pi\)
0.324336 + 0.945942i \(0.394859\pi\)
\(734\) 24.0543 0.887861
\(735\) 1.96806 2.88440i 0.0725931 0.106393i
\(736\) −0.349641 −0.0128879
\(737\) −2.95428 0.445286i −0.108822 0.0164023i
\(738\) 11.6315 7.93023i 0.428162 0.291916i
\(739\) −44.7524 13.8043i −1.64624 0.507799i −0.673403 0.739276i \(-0.735168\pi\)
−0.972840 + 0.231477i \(0.925644\pi\)
\(740\) −0.00289255 0.0385984i −0.000106332 0.00141891i
\(741\) −0.229332 + 0.110441i −0.00842474 + 0.00405714i
\(742\) −13.7769 26.0785i −0.505767 0.957372i
\(743\) −4.55800 2.19502i −0.167217 0.0805274i 0.348403 0.937345i \(-0.386724\pi\)
−0.515620 + 0.856817i \(0.672438\pi\)
\(744\) −0.591017 + 1.50589i −0.0216677 + 0.0552084i
\(745\) −4.85798 + 64.8252i −0.177983 + 2.37501i
\(746\) −4.54024 11.5683i −0.166230 0.423547i
\(747\) −44.4637 + 13.7152i −1.62684 + 0.501814i
\(748\) 0.311949 0.391172i 0.0114060 0.0143027i
\(749\) −22.1624 + 13.9200i −0.809795 + 0.508626i
\(750\) 2.73052 + 3.42397i 0.0997045 + 0.125026i
\(751\) −0.325524 0.221939i −0.0118786 0.00809866i 0.557366 0.830267i \(-0.311812\pi\)
−0.569245 + 0.822168i \(0.692764\pi\)
\(752\) −11.2188 10.4096i −0.409109 0.379598i
\(753\) −0.734862 + 1.27282i −0.0267799 + 0.0463841i
\(754\) −2.85699 4.94845i −0.104045 0.180212i
\(755\) −15.0527 + 65.9502i −0.547824 + 2.40017i
\(756\) 0.0159450 0.0185218i 0.000579915 0.000673630i
\(757\) 0.648480 + 2.84117i 0.0235694 + 0.103264i 0.985344 0.170577i \(-0.0545630\pi\)
−0.961775 + 0.273841i \(0.911706\pi\)
\(758\) 23.2998 21.6190i 0.846285 0.785238i
\(759\) 3.14899 0.474633i 0.114301 0.0172281i
\(760\) 23.0309 3.47135i 0.835418 0.125919i
\(761\) −12.5844 + 11.6767i −0.456186 + 0.423279i −0.874501 0.485023i \(-0.838811\pi\)
0.418315 + 0.908302i \(0.362621\pi\)
\(762\) −0.294488 1.29023i −0.0106682 0.0467403i
\(763\) 1.90271 7.09593i 0.0688828 0.256890i
\(764\) 0.0650814 0.285140i 0.00235456 0.0103160i
\(765\) −46.6406 80.7839i −1.68629 2.92075i
\(766\) −6.36456 + 11.0237i −0.229961 + 0.398304i
\(767\) 0.903196 + 0.838043i 0.0326125 + 0.0302600i
\(768\) 0.0306062 + 0.0208670i 0.00110441 + 0.000752972i
\(769\) 8.63649 + 10.8298i 0.311440 + 0.390533i 0.912774 0.408464i \(-0.133936\pi\)
−0.601335 + 0.798997i \(0.705364\pi\)
\(770\) −73.7407 25.8178i −2.65743 0.930410i
\(771\) −1.94942 + 2.44450i −0.0702067 + 0.0880364i
\(772\) 0.235281 0.0725746i 0.00846795 0.00261202i