Properties

Label 503.2.c.a.2.17
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 2.17
Character \(\chi\) \(=\) 503.2
Dual form 503.2.c.a.252.17

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.448047 - 0.551642i) q^{2} +(2.42081 - 2.09524i) q^{3} +(0.306545 - 1.46318i) q^{4} +(-0.150619 - 0.475684i) q^{5} +(-2.24046 - 0.396660i) q^{6} +(-0.834374 + 2.42265i) q^{7} +(-2.20809 + 1.13729i) q^{8} +(1.04000 - 7.17539i) q^{9} +O(q^{10})\) \(q+(-0.448047 - 0.551642i) q^{2} +(2.42081 - 2.09524i) q^{3} +(0.306545 - 1.46318i) q^{4} +(-0.150619 - 0.475684i) q^{5} +(-2.24046 - 0.396660i) q^{6} +(-0.834374 + 2.42265i) q^{7} +(-2.20809 + 1.13729i) q^{8} +(1.04000 - 7.17539i) q^{9} +(-0.194923 + 0.296217i) q^{10} +(-0.445595 + 0.144166i) q^{11} +(-2.32362 - 4.18437i) q^{12} +(-1.75071 + 0.590724i) q^{13} +(1.71028 - 0.625184i) q^{14} +(-1.36129 - 0.835960i) q^{15} +(-1.12176 - 0.491607i) q^{16} +(3.92999 + 1.96232i) q^{17} +(-4.42422 + 2.64120i) q^{18} +(-3.18127 - 7.13723i) q^{19} +(-0.742182 + 0.0745644i) q^{20} +(3.05617 + 7.61300i) q^{21} +(0.279175 + 0.181216i) q^{22} +(1.76279 - 6.09319i) q^{23} +(-2.96248 + 7.37963i) q^{24} +(3.88518 - 2.73455i) q^{25} +(1.11027 + 0.701093i) q^{26} +(-7.33752 - 11.4604i) q^{27} +(3.28900 + 1.96349i) q^{28} +(0.111865 - 0.936356i) q^{29} +(0.148771 + 1.12550i) q^{30} +(0.748569 + 9.18085i) q^{31} +(1.55209 + 5.62781i) q^{32} +(-0.776640 + 1.28263i) q^{33} +(-0.678319 - 3.04716i) q^{34} +(1.27809 + 0.0320006i) q^{35} +(-10.1801 - 3.72128i) q^{36} +(5.69235 + 7.19058i) q^{37} +(-2.51184 + 4.95273i) q^{38} +(-3.00043 + 5.09819i) q^{39} +(0.873570 + 0.879054i) q^{40} +(-0.404281 + 2.05768i) q^{41} +(2.83035 - 5.09689i) q^{42} +(-1.87460 + 10.2155i) q^{43} +(0.0743461 + 0.696178i) q^{44} +(-3.56986 + 0.586040i) q^{45} +(-4.15107 + 1.75760i) q^{46} +(8.14420 - 0.305950i) q^{47} +(-3.74560 + 1.16026i) q^{48} +(0.342415 + 0.267600i) q^{49} +(-3.24923 - 0.918025i) q^{50} +(13.6253 - 3.48385i) q^{51} +(0.327664 + 2.74268i) q^{52} +(1.97455 - 4.42993i) q^{53} +(-3.03447 + 9.18246i) q^{54} +(0.135693 + 0.190248i) q^{55} +(-0.912881 - 6.29835i) q^{56} +(-22.6555 - 10.6124i) q^{57} +(-0.566655 + 0.357822i) q^{58} +(4.45561 - 10.7094i) q^{59} +(-1.64046 + 1.73555i) q^{60} +(1.96452 + 3.24442i) q^{61} +(4.72915 - 4.52639i) q^{62} +(16.5157 + 8.50652i) q^{63} +(0.986766 - 1.38350i) q^{64} +(0.544689 + 0.743810i) q^{65} +(1.05552 - 0.146249i) q^{66} +(-0.770137 + 0.472936i) q^{67} +(4.07595 - 5.14874i) q^{68} +(-8.49928 - 18.4440i) q^{69} +(-0.554991 - 0.719386i) q^{70} +(0.561638 + 3.56046i) q^{71} +(5.86407 + 17.0267i) q^{72} +(-4.19763 - 4.01766i) q^{73} +(1.41619 - 6.36185i) q^{74} +(3.67577 - 14.7602i) q^{75} +(-11.4182 + 2.46688i) q^{76} +(0.0225284 - 1.19981i) q^{77} +(4.15671 - 0.629057i) q^{78} +(-0.214875 - 3.81099i) q^{79} +(-0.0648917 + 0.607647i) q^{80} +(-20.9189 - 6.19410i) q^{81} +(1.31624 - 0.698919i) q^{82} +(8.00912 + 15.3138i) q^{83} +(12.0760 - 2.13799i) q^{84} +(0.341513 - 2.16500i) q^{85} +(6.47519 - 3.54290i) q^{86} +(-1.69108 - 2.50113i) q^{87} +(0.819953 - 0.825100i) q^{88} +(-3.62322 - 13.8097i) q^{89} +(1.92275 + 1.70671i) q^{90} +(0.0296280 - 4.73424i) q^{91} +(-8.37505 - 4.44712i) q^{92} +(21.0482 + 20.6567i) q^{93} +(-3.81775 - 4.35560i) q^{94} +(-2.91591 + 2.58828i) q^{95} +(15.5489 + 10.3719i) q^{96} +(0.985457 + 4.17955i) q^{97} +(-0.00579801 - 0.308788i) q^{98} +(0.571029 + 3.34725i) 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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.448047 0.551642i −0.316817 0.390070i 0.592916 0.805264i \(-0.297977\pi\)
−0.909733 + 0.415194i \(0.863714\pi\)
\(3\) 2.42081 2.09524i 1.39766 1.20969i 0.448940 0.893562i \(-0.351802\pi\)
0.948718 0.316124i \(-0.102382\pi\)
\(4\) 0.306545 1.46318i 0.153272 0.731589i
\(5\) −0.150619 0.475684i −0.0673590 0.212732i 0.913719 0.406348i \(-0.133198\pi\)
−0.981078 + 0.193615i \(0.937979\pi\)
\(6\) −2.24046 0.396660i −0.914664 0.161936i
\(7\) −0.834374 + 2.42265i −0.315364 + 0.915676i 0.669571 + 0.742748i \(0.266478\pi\)
−0.984934 + 0.172928i \(0.944677\pi\)
\(8\) −2.20809 + 1.13729i −0.780676 + 0.402092i
\(9\) 1.04000 7.17539i 0.346667 2.39180i
\(10\) −0.194923 + 0.296217i −0.0616401 + 0.0936719i
\(11\) −0.445595 + 0.144166i −0.134352 + 0.0434677i −0.374234 0.927334i \(-0.622094\pi\)
0.239882 + 0.970802i \(0.422891\pi\)
\(12\) −2.32362 4.18437i −0.670771 1.20792i
\(13\) −1.75071 + 0.590724i −0.485559 + 0.163837i −0.551817 0.833965i \(-0.686065\pi\)
0.0662578 + 0.997803i \(0.478894\pi\)
\(14\) 1.71028 0.625184i 0.457090 0.167088i
\(15\) −1.36129 0.835960i −0.351484 0.215844i
\(16\) −1.12176 0.491607i −0.280439 0.122902i
\(17\) 3.92999 + 1.96232i 0.953163 + 0.475933i 0.854651 0.519203i \(-0.173771\pi\)
0.0985119 + 0.995136i \(0.468592\pi\)
\(18\) −4.42422 + 2.64120i −1.04280 + 0.622537i
\(19\) −3.18127 7.13723i −0.729833 1.63739i −0.769875 0.638195i \(-0.779681\pi\)
0.0400414 0.999198i \(-0.487251\pi\)
\(20\) −0.742182 + 0.0745644i −0.165957 + 0.0166731i
\(21\) 3.05617 + 7.61300i 0.666910 + 1.66129i
\(22\) 0.279175 + 0.181216i 0.0595203 + 0.0386353i
\(23\) 1.76279 6.09319i 0.367568 1.27052i −0.536780 0.843722i \(-0.680360\pi\)
0.904348 0.426795i \(-0.140358\pi\)
\(24\) −2.96248 + 7.37963i −0.604713 + 1.50636i
\(25\) 3.88518 2.73455i 0.777036 0.546909i
\(26\) 1.11027 + 0.701093i 0.217741 + 0.137496i
\(27\) −7.33752 11.4604i −1.41211 2.20555i
\(28\) 3.28900 + 1.96349i 0.621562 + 0.371065i
\(29\) 0.111865 0.936356i 0.0207728 0.173877i −0.978739 0.205108i \(-0.934245\pi\)
0.999512 + 0.0312308i \(0.00994270\pi\)
\(30\) 0.148771 + 1.12550i 0.0271618 + 0.205486i
\(31\) 0.748569 + 9.18085i 0.134447 + 1.64893i 0.627272 + 0.778801i \(0.284172\pi\)
−0.492825 + 0.870129i \(0.664036\pi\)
\(32\) 1.55209 + 5.62781i 0.274374 + 0.994866i
\(33\) −0.776640 + 1.28263i −0.135196 + 0.223277i
\(34\) −0.678319 3.04716i −0.116331 0.522584i
\(35\) 1.27809 + 0.0320006i 0.216037 + 0.00540909i
\(36\) −10.1801 3.72128i −1.69668 0.620214i
\(37\) 5.69235 + 7.19058i 0.935816 + 1.18212i 0.983068 + 0.183240i \(0.0586587\pi\)
−0.0472523 + 0.998883i \(0.515046\pi\)
\(38\) −2.51184 + 4.95273i −0.407475 + 0.803440i
\(39\) −3.00043 + 5.09819i −0.480454 + 0.816363i
\(40\) 0.873570 + 0.879054i 0.138124 + 0.138991i
\(41\) −0.404281 + 2.05768i −0.0631380 + 0.321356i −0.999565 0.0295078i \(-0.990606\pi\)
0.936427 + 0.350864i \(0.114112\pi\)
\(42\) 2.83035 5.09689i 0.436733 0.786467i
\(43\) −1.87460 + 10.2155i −0.285873 + 1.55785i 0.457648 + 0.889133i \(0.348692\pi\)
−0.743522 + 0.668712i \(0.766846\pi\)
\(44\) 0.0743461 + 0.696178i 0.0112081 + 0.104953i
\(45\) −3.56986 + 0.586040i −0.532164 + 0.0873617i
\(46\) −4.15107 + 1.75760i −0.612043 + 0.259144i
\(47\) 8.14420 0.305950i 1.18795 0.0446273i 0.563788 0.825920i \(-0.309344\pi\)
0.624165 + 0.781292i \(0.285439\pi\)
\(48\) −3.74560 + 1.16026i −0.540630 + 0.167468i
\(49\) 0.342415 + 0.267600i 0.0489164 + 0.0382286i
\(50\) −3.24923 0.918025i −0.459511 0.129828i
\(51\) 13.6253 3.48385i 1.90793 0.487836i
\(52\) 0.327664 + 2.74268i 0.0454388 + 0.380342i
\(53\) 1.97455 4.42993i 0.271225 0.608498i −0.725600 0.688116i \(-0.758438\pi\)
0.996825 + 0.0796182i \(0.0253701\pi\)
\(54\) −3.03447 + 9.18246i −0.412939 + 1.24957i
\(55\) 0.135693 + 0.190248i 0.0182968 + 0.0256530i
\(56\) −0.912881 6.29835i −0.121989 0.841652i
\(57\) −22.6555 10.6124i −3.00079 1.40565i
\(58\) −0.566655 + 0.357822i −0.0744054 + 0.0469843i
\(59\) 4.45561 10.7094i 0.580070 1.39424i −0.315332 0.948982i \(-0.602116\pi\)
0.895402 0.445259i \(-0.146888\pi\)
\(60\) −1.64046 + 1.73555i −0.211782 + 0.224059i
\(61\) 1.96452 + 3.24442i 0.251531 + 0.415405i 0.955574 0.294752i \(-0.0952372\pi\)
−0.704043 + 0.710158i \(0.748624\pi\)
\(62\) 4.72915 4.52639i 0.600603 0.574852i
\(63\) 16.5157 + 8.50652i 2.08079 + 1.07172i
\(64\) 0.986766 1.38350i 0.123346 0.172937i
\(65\) 0.544689 + 0.743810i 0.0675603 + 0.0922583i
\(66\) 1.05552 0.146249i 0.129926 0.0180020i
\(67\) −0.770137 + 0.472936i −0.0940872 + 0.0577783i −0.569544 0.821961i \(-0.692880\pi\)
0.475457 + 0.879739i \(0.342283\pi\)
\(68\) 4.07595 5.14874i 0.494281 0.624376i
\(69\) −8.49928 18.4440i −1.02319 2.22039i
\(70\) −0.554991 0.719386i −0.0663341 0.0859831i
\(71\) 0.561638 + 3.56046i 0.0666542 + 0.422549i 0.998254 + 0.0590642i \(0.0188117\pi\)
−0.931600 + 0.363485i \(0.881587\pi\)
\(72\) 5.86407 + 17.0267i 0.691087 + 2.00661i
\(73\) −4.19763 4.01766i −0.491296 0.470232i 0.404601 0.914493i \(-0.367410\pi\)
−0.895897 + 0.444261i \(0.853466\pi\)
\(74\) 1.41619 6.36185i 0.164629 0.739550i
\(75\) 3.67577 14.7602i 0.424442 1.70436i
\(76\) −11.4182 + 2.46688i −1.30976 + 0.282971i
\(77\) 0.0225284 1.19981i 0.00256735 0.136731i
\(78\) 4.15671 0.629057i 0.470655 0.0712267i
\(79\) −0.214875 3.81099i −0.0241753 0.428770i −0.987213 0.159404i \(-0.949043\pi\)
0.963038 0.269365i \(-0.0868139\pi\)
\(80\) −0.0648917 + 0.607647i −0.00725512 + 0.0679370i
\(81\) −20.9189 6.19410i −2.32433 0.688233i
\(82\) 1.31624 0.698919i 0.145355 0.0771827i
\(83\) 8.00912 + 15.3138i 0.879115 + 1.68091i 0.720372 + 0.693588i \(0.243971\pi\)
0.158743 + 0.987320i \(0.449256\pi\)
\(84\) 12.0760 2.13799i 1.31760 0.233274i
\(85\) 0.341513 2.16500i 0.0370423 0.234827i
\(86\) 6.47519 3.54290i 0.698238 0.382041i
\(87\) −1.69108 2.50113i −0.181303 0.268149i
\(88\) 0.819953 0.825100i 0.0874072 0.0879560i
\(89\) −3.62322 13.8097i −0.384060 1.46383i −0.824407 0.565998i \(-0.808491\pi\)
0.440346 0.897828i \(-0.354856\pi\)
\(90\) 1.92275 + 1.70671i 0.202676 + 0.179903i
\(91\) 0.0296280 4.73424i 0.00310586 0.496284i
\(92\) −8.37505 4.44712i −0.873159 0.463644i
\(93\) 21.0482 + 20.6567i 2.18260 + 2.14200i
\(94\) −3.81775 4.35560i −0.393771 0.449246i
\(95\) −2.91591 + 2.58828i −0.299166 + 0.265552i
\(96\) 15.5489 + 10.3719i 1.58696 + 1.05858i
\(97\) 0.985457 + 4.17955i 0.100058 + 0.424369i 0.999931 0.0117840i \(-0.00375105\pi\)
−0.899873 + 0.436153i \(0.856341\pi\)
\(98\) −0.00579801 0.308788i −0.000585687 0.0311923i
\(99\) 0.571029 + 3.34725i 0.0573906 + 0.336411i
\(100\) −2.81015 6.52297i −0.281015 0.652297i
\(101\) 3.40326 1.34153i 0.338637 0.133488i −0.191285 0.981535i \(-0.561265\pi\)
0.529921 + 0.848047i \(0.322222\pi\)
\(102\) −8.02661 5.95538i −0.794753 0.589670i
\(103\) −9.56708 + 1.94194i −0.942672 + 0.191345i −0.645743 0.763554i \(-0.723452\pi\)
−0.296929 + 0.954900i \(0.595962\pi\)
\(104\) 3.19389 3.29543i 0.313187 0.323143i
\(105\) 3.16107 2.60043i 0.308489 0.253776i
\(106\) −3.32843 + 0.895572i −0.323286 + 0.0869856i
\(107\) −12.3001 0.462072i −1.18909 0.0446702i −0.564374 0.825519i \(-0.690883\pi\)
−0.624720 + 0.780849i \(0.714787\pi\)
\(108\) −19.0178 + 7.22299i −1.82999 + 0.695032i
\(109\) 5.66905 + 5.99770i 0.542997 + 0.574475i 0.939062 0.343747i \(-0.111696\pi\)
−0.396065 + 0.918222i \(0.629625\pi\)
\(110\) 0.0441523 0.160094i 0.00420975 0.0152643i
\(111\) 28.8461 + 5.48024i 2.73795 + 0.520161i
\(112\) 2.12696 2.30744i 0.200979 0.218033i
\(113\) 2.66950 + 5.43105i 0.251126 + 0.510911i 0.985886 0.167416i \(-0.0535422\pi\)
−0.734761 + 0.678326i \(0.762706\pi\)
\(114\) 4.29645 + 17.2526i 0.402399 + 1.61585i
\(115\) −3.16394 + 0.0792183i −0.295039 + 0.00738715i
\(116\) −1.33576 0.450714i −0.124023 0.0418477i
\(117\) 2.41794 + 13.1764i 0.223538 + 1.21816i
\(118\) −7.90406 + 2.34039i −0.727627 + 0.215451i
\(119\) −8.03311 + 7.88369i −0.736394 + 0.722697i
\(120\) 3.95658 + 0.297690i 0.361184 + 0.0271753i
\(121\) −8.73757 + 6.31486i −0.794325 + 0.574078i
\(122\) 0.909563 2.53736i 0.0823479 0.229722i
\(123\) 3.33264 + 5.82833i 0.300494 + 0.525523i
\(124\) 13.6627 + 1.71905i 1.22695 + 0.154375i
\(125\) −3.87075 2.94775i −0.346211 0.263654i
\(126\) −2.70725 12.9221i −0.241181 1.15119i
\(127\) 4.07571 2.29677i 0.361661 0.203805i −0.299417 0.954122i \(-0.596792\pi\)
0.661078 + 0.750317i \(0.270099\pi\)
\(128\) 10.4477 0.654686i 0.923452 0.0578666i
\(129\) 16.8658 + 28.6575i 1.48495 + 2.52315i
\(130\) 0.166271 0.633735i 0.0145830 0.0555822i
\(131\) 1.83361 1.22310i 0.160203 0.106863i −0.472240 0.881470i \(-0.656554\pi\)
0.632443 + 0.774607i \(0.282052\pi\)
\(132\) 1.63864 + 1.52954i 0.142625 + 0.133130i
\(133\) 19.9454 1.75198i 1.72949 0.151916i
\(134\) 0.605949 + 0.212943i 0.0523460 + 0.0183955i
\(135\) −4.34634 + 5.21649i −0.374073 + 0.448964i
\(136\) −10.9095 + 0.136554i −0.935481 + 0.0117094i
\(137\) −3.59332 9.28557i −0.306998 0.793320i −0.997545 0.0700323i \(-0.977690\pi\)
0.690547 0.723288i \(-0.257370\pi\)
\(138\) −6.36639 + 12.9523i −0.541943 + 1.10257i
\(139\) −3.61636 0.781306i −0.306736 0.0662695i 0.0551917 0.998476i \(-0.482423\pi\)
−0.361927 + 0.932206i \(0.617881\pi\)
\(140\) 0.438614 1.86026i 0.0370697 0.157221i
\(141\) 19.0746 17.8047i 1.60637 1.49942i
\(142\) 1.71246 1.90508i 0.143707 0.159870i
\(143\) 0.694944 0.515616i 0.0581141 0.0431180i
\(144\) −4.69410 + 7.53776i −0.391175 + 0.628147i
\(145\) −0.462259 + 0.0878209i −0.0383885 + 0.00729313i
\(146\) −0.335577 + 4.11569i −0.0277725 + 0.340617i
\(147\) 1.38961 0.0696293i 0.114613 0.00574293i
\(148\) 12.2661 6.12468i 1.00826 0.503446i
\(149\) −6.38365 + 9.97053i −0.522969 + 0.816818i −0.998004 0.0631491i \(-0.979886\pi\)
0.475035 + 0.879967i \(0.342435\pi\)
\(150\) −9.78927 + 4.58555i −0.799291 + 0.374408i
\(151\) −9.72834 14.7838i −0.791681 1.20309i −0.975473 0.220120i \(-0.929355\pi\)
0.183792 0.982965i \(-0.441163\pi\)
\(152\) 15.1416 + 12.1416i 1.22815 + 0.984814i
\(153\) 18.1676 26.1584i 1.46877 2.11478i
\(154\) −0.671959 + 0.525143i −0.0541480 + 0.0423172i
\(155\) 4.25444 1.73890i 0.341724 0.139671i
\(156\) 6.53979 + 5.95299i 0.523602 + 0.476621i
\(157\) −4.59633 + 9.65454i −0.366827 + 0.770516i −0.999994 0.00349928i \(-0.998886\pi\)
0.633167 + 0.774015i \(0.281755\pi\)
\(158\) −2.00603 + 1.82603i −0.159591 + 0.145271i
\(159\) −4.50175 14.8612i −0.357012 1.17857i
\(160\) 2.44329 1.58596i 0.193159 0.125381i
\(161\) 13.2908 + 9.35464i 1.04747 + 0.737249i
\(162\) 5.95573 + 14.3150i 0.467926 + 1.12469i
\(163\) −11.9601 4.54246i −0.936789 0.355793i −0.161121 0.986935i \(-0.551511\pi\)
−0.775668 + 0.631142i \(0.782587\pi\)
\(164\) 2.88683 + 1.22231i 0.225423 + 0.0954461i
\(165\) 0.727102 + 0.176247i 0.0566048 + 0.0137208i
\(166\) 4.85928 11.2795i 0.377154 0.875456i
\(167\) −0.240584 + 7.68614i −0.0186169 + 0.594771i 0.944936 + 0.327254i \(0.106123\pi\)
−0.963553 + 0.267517i \(0.913797\pi\)
\(168\) −15.4064 13.3344i −1.18863 1.02877i
\(169\) −7.62639 + 5.80782i −0.586645 + 0.446756i
\(170\) −1.34732 + 0.781627i −0.103335 + 0.0599480i
\(171\) −54.5209 + 15.4041i −4.16932 + 1.17798i
\(172\) 14.3724 + 5.87437i 1.09589 + 0.447916i
\(173\) −6.62315 13.9119i −0.503549 1.05770i −0.983584 0.180450i \(-0.942245\pi\)
0.480035 0.877249i \(-0.340624\pi\)
\(174\) −0.622044 + 2.05350i −0.0471571 + 0.155675i
\(175\) 3.38316 + 11.6941i 0.255743 + 0.883989i
\(176\) 0.570721 + 0.0573383i 0.0430197 + 0.00432204i
\(177\) −11.6525 35.2609i −0.875853 2.65037i
\(178\) −5.99465 + 8.18611i −0.449318 + 0.613575i
\(179\) 3.94488 7.31827i 0.294854 0.546993i −0.689263 0.724511i \(-0.742066\pi\)
0.984118 + 0.177518i \(0.0568067\pi\)
\(180\) −0.236841 + 5.40299i −0.0176531 + 0.402715i
\(181\) −0.228157 3.30908i −0.0169587 0.245962i −0.998502 0.0547203i \(-0.982573\pi\)
0.981543 0.191242i \(-0.0612514\pi\)
\(182\) −2.62488 + 2.10482i −0.194569 + 0.156019i
\(183\) 11.5536 + 3.73800i 0.854065 + 0.276321i
\(184\) 3.03731 + 15.4591i 0.223913 + 1.13966i
\(185\) 2.56307 3.79080i 0.188440 0.278705i
\(186\) 1.96454 20.8662i 0.144047 1.52999i
\(187\) −2.03408 0.307829i −0.148747 0.0225107i
\(188\) 2.04890 12.0102i 0.149432 0.875934i
\(189\) 33.8867 8.21402i 2.46490 0.597482i
\(190\) 2.73427 + 0.448867i 0.198365 + 0.0325642i
\(191\) −1.13314 + 20.0972i −0.0819912 + 1.45418i 0.643233 + 0.765671i \(0.277593\pi\)
−0.725224 + 0.688513i \(0.758264\pi\)
\(192\) −0.509977 5.41670i −0.0368044 0.390916i
\(193\) 14.3098 + 7.82962i 1.03004 + 0.563589i 0.903596 0.428385i \(-0.140917\pi\)
0.126448 + 0.991973i \(0.459642\pi\)
\(194\) 1.86409 2.41625i 0.133834 0.173477i
\(195\) 2.87705 + 0.659374i 0.206030 + 0.0472188i
\(196\) 0.496513 0.418982i 0.0354652 0.0299273i
\(197\) 7.42143 0.558384i 0.528755 0.0397832i 0.192035 0.981388i \(-0.438491\pi\)
0.336720 + 0.941605i \(0.390682\pi\)
\(198\) 1.59064 1.81473i 0.113042 0.128967i
\(199\) 0.0984970 + 15.7388i 0.00698227 + 1.11569i 0.833412 + 0.552652i \(0.186384\pi\)
−0.826430 + 0.563040i \(0.809632\pi\)
\(200\) −5.46884 + 10.4567i −0.386706 + 0.739399i
\(201\) −0.873447 + 2.75851i −0.0616082 + 0.194570i
\(202\) −2.26486 1.27631i −0.159355 0.0898008i
\(203\) 2.17513 + 1.05228i 0.152664 + 0.0738557i
\(204\) −0.920722 21.0042i −0.0644635 1.47059i
\(205\) 1.03970 0.117617i 0.0726157 0.00821470i
\(206\) 5.35775 + 4.40753i 0.373292 + 0.307087i
\(207\) −41.8877 18.9856i −2.91140 1.31959i
\(208\) 2.25427 + 0.198013i 0.156306 + 0.0137297i
\(209\) 2.44650 + 2.72168i 0.169228 + 0.188263i
\(210\) −2.85082 0.578663i −0.196725 0.0399316i
\(211\) −16.7975 + 11.5111i −1.15639 + 0.792458i −0.981374 0.192108i \(-0.938468\pi\)
−0.175016 + 0.984566i \(0.555998\pi\)
\(212\) −5.87650 4.24709i −0.403599 0.291691i
\(213\) 8.81964 + 7.44246i 0.604312 + 0.509949i
\(214\) 5.25611 + 6.99228i 0.359300 + 0.477982i
\(215\) 5.14169 0.646931i 0.350660 0.0441203i
\(216\) 29.2356 + 16.9606i 1.98923 + 1.15402i
\(217\) −22.8666 5.84674i −1.55229 0.396903i
\(218\) 0.768584 5.81454i 0.0520550 0.393810i
\(219\) −18.5797 0.930972i −1.25550 0.0629093i
\(220\) 0.319963 0.140223i 0.0215719 0.00945383i
\(221\) −8.03946 1.11392i −0.540793 0.0749301i
\(222\) −9.90126 18.3681i −0.664529 1.23279i
\(223\) −11.5122 + 5.56936i −0.770914 + 0.372952i −0.779007 0.627015i \(-0.784276\pi\)
0.00809315 + 0.999967i \(0.497424\pi\)
\(224\) −14.9293 0.935517i −0.997503 0.0625069i
\(225\) −15.5809 30.7216i −1.03872 2.04811i
\(226\) 1.79994 3.90598i 0.119730 0.259822i
\(227\) −6.92986 + 1.58821i −0.459951 + 0.105414i −0.447061 0.894503i \(-0.647529\pi\)
−0.0128898 + 0.999917i \(0.504103\pi\)
\(228\) −22.4727 + 29.8958i −1.48829 + 1.97990i
\(229\) −12.5447 + 21.9390i −0.828978 + 1.44977i 0.0631591 + 0.998003i \(0.479882\pi\)
−0.892137 + 0.451764i \(0.850795\pi\)
\(230\) 1.46129 + 1.70987i 0.0963549 + 0.112746i
\(231\) −2.45935 2.95172i −0.161813 0.194209i
\(232\) 0.817899 + 2.19478i 0.0536977 + 0.144094i
\(233\) 2.39617 + 0.0299928i 0.156978 + 0.00196489i 0.0909665 0.995854i \(-0.471004\pi\)
0.0660118 + 0.997819i \(0.478972\pi\)
\(234\) 6.18530 7.23746i 0.404345 0.473128i
\(235\) −1.37221 3.82798i −0.0895130 0.249710i
\(236\) −14.3039 9.80224i −0.931102 0.638072i
\(237\) −8.50510 8.77548i −0.552465 0.570029i
\(238\) 7.94818 + 0.899144i 0.515204 + 0.0582828i
\(239\) 1.24871 18.1107i 0.0807723 1.17148i −0.767187 0.641424i \(-0.778344\pi\)
0.847959 0.530061i \(-0.177831\pi\)
\(240\) 1.11607 + 1.60696i 0.0720423 + 0.103729i
\(241\) −2.66308 0.824929i −0.171544 0.0531383i 0.208927 0.977931i \(-0.433003\pi\)
−0.380471 + 0.924793i \(0.624238\pi\)
\(242\) 7.39838 + 1.99066i 0.475586 + 0.127965i
\(243\) −26.4359 + 11.9821i −1.69587 + 0.768653i
\(244\) 5.34938 1.87988i 0.342459 0.120347i
\(245\) 0.0757190 0.203187i 0.00483751 0.0129811i
\(246\) 1.72197 4.44979i 0.109789 0.283708i
\(247\) 9.78561 + 10.6160i 0.622643 + 0.675478i
\(248\) −12.0942 19.4208i −0.767981 1.23322i
\(249\) 51.4746 + 20.2909i 3.26207 + 1.28588i
\(250\) 0.108176 + 3.45600i 0.00684166 + 0.218577i
\(251\) 9.09699 11.2004i 0.574197 0.706961i −0.403972 0.914771i \(-0.632371\pi\)
0.978169 + 0.207810i \(0.0666336\pi\)
\(252\) 17.5094 21.5578i 1.10299 1.35801i
\(253\) 0.0929397 + 2.96923i 0.00584307 + 0.186674i
\(254\) −3.09310 1.21928i −0.194079 0.0765041i
\(255\) −3.70945 5.95661i −0.232295 0.373018i
\(256\) −7.34571 7.96902i −0.459107 0.498064i
\(257\) 5.79107 14.9648i 0.361237 0.933480i −0.626789 0.779189i \(-0.715631\pi\)
0.988026 0.154291i \(-0.0493092\pi\)
\(258\) 8.25203 22.1438i 0.513749 1.37861i
\(259\) −22.1698 + 7.79094i −1.37756 + 0.484105i
\(260\) 1.25530 0.568965i 0.0778503 0.0352857i
\(261\) −6.60238 1.77649i −0.408677 0.109962i
\(262\) −1.49626 0.463488i −0.0924391 0.0286344i
\(263\) −9.06364 13.0502i −0.558888 0.804707i 0.436594 0.899659i \(-0.356185\pi\)
−0.995482 + 0.0949515i \(0.969730\pi\)
\(264\) 0.256172 3.71541i 0.0157663 0.228668i
\(265\) −2.40465 0.272028i −0.147717 0.0167106i
\(266\) −9.90293 10.2178i −0.607188 0.626491i
\(267\) −37.7058 25.8392i −2.30755 1.58134i
\(268\) 0.455908 + 1.27182i 0.0278490 + 0.0776890i
\(269\) 12.2065 14.2830i 0.744245 0.870847i −0.251026 0.967980i \(-0.580768\pi\)
0.995271 + 0.0971333i \(0.0309673\pi\)
\(270\) 4.82500 + 0.0603943i 0.293640 + 0.00367548i
\(271\) −1.35362 3.63236i −0.0822268 0.220650i 0.889418 0.457094i \(-0.151110\pi\)
−0.971645 + 0.236444i \(0.924018\pi\)
\(272\) −3.44380 4.13326i −0.208811 0.250616i
\(273\) −9.84764 11.5228i −0.596006 0.697392i
\(274\) −3.51234 + 6.14260i −0.212188 + 0.371088i
\(275\) −1.33699 + 1.77861i −0.0806233 + 0.107254i
\(276\) −29.5922 + 6.78207i −1.78124 + 0.408232i
\(277\) 9.23358 20.0374i 0.554792 1.20393i −0.402663 0.915348i \(-0.631915\pi\)
0.957455 0.288584i \(-0.0931843\pi\)
\(278\) 1.18930 + 2.34500i 0.0713293 + 0.140644i
\(279\) 66.6547 + 4.17681i 3.99051 + 0.250059i
\(280\) −2.85853 + 1.38290i −0.170830 + 0.0826438i
\(281\) 14.8629 + 27.5727i 0.886649 + 1.64485i 0.757123 + 0.653273i \(0.226605\pi\)
0.129526 + 0.991576i \(0.458654\pi\)
\(282\) −18.3681 2.54501i −1.09380 0.151553i
\(283\) 7.58245 3.32299i 0.450730 0.197532i −0.163688 0.986512i \(-0.552339\pi\)
0.614418 + 0.788981i \(0.289391\pi\)
\(284\) 5.38176 + 0.269664i 0.319349 + 0.0160016i
\(285\) −1.63580 + 12.3753i −0.0968965 + 0.733048i
\(286\) −0.595803 0.152340i −0.0352306 0.00900808i
\(287\) −4.64773 2.69631i −0.274347 0.159158i
\(288\) 41.9959 5.28396i 2.47463 0.311360i
\(289\) 1.37933 + 1.83494i 0.0811369 + 0.107938i
\(290\) 0.255559 + 0.215654i 0.0150070 + 0.0126636i
\(291\) 11.1428 + 8.05315i 0.653200 + 0.472084i
\(292\) −7.16532 + 4.91030i −0.419319 + 0.287353i
\(293\) −1.28122 0.260064i −0.0748496 0.0151931i 0.161355 0.986896i \(-0.448414\pi\)
−0.236205 + 0.971703i \(0.575904\pi\)
\(294\) −0.661020 0.735370i −0.0385515 0.0428877i
\(295\) −5.76537 0.506425i −0.335673 0.0294852i
\(296\) −20.7469 9.40358i −1.20589 0.546572i
\(297\) 4.92175 + 4.04885i 0.285589 + 0.234938i
\(298\) 8.36034 0.945769i 0.484302 0.0547869i
\(299\) 0.513253 + 11.7087i 0.0296822 + 0.677133i
\(300\) −20.4700 9.90297i −1.18184 0.571748i
\(301\) −23.1844 13.0650i −1.33633 0.753055i
\(302\) −3.79660 + 11.9904i −0.218470 + 0.689969i
\(303\) 5.42782 10.3782i 0.311820 0.596214i
\(304\) 0.0598924 + 9.57017i 0.00343506 + 0.548887i
\(305\) 1.24742 1.42316i 0.0714273 0.0814901i
\(306\) −22.5700 + 1.69815i −1.29024 + 0.0970770i
\(307\) 15.5519 13.1235i 0.887594 0.748997i −0.0812435 0.996694i \(-0.525889\pi\)
0.968837 + 0.247698i \(0.0796740\pi\)
\(308\) −1.74863 0.400758i −0.0996373 0.0228353i
\(309\) −19.0913 + 24.7464i −1.08607 + 1.40777i
\(310\) −2.86543 1.56782i −0.162746 0.0890462i
\(311\) 1.44190 + 15.3151i 0.0817625 + 0.868438i 0.936799 + 0.349869i \(0.113774\pi\)
−0.855036 + 0.518569i \(0.826465\pi\)
\(312\) 0.827115 14.6696i 0.0468262 0.830502i
\(313\) 12.9513 + 2.12612i 0.732048 + 0.120175i 0.516463 0.856310i \(-0.327248\pi\)
0.215585 + 0.976485i \(0.430834\pi\)
\(314\) 7.38522 1.79015i 0.416772 0.101024i
\(315\) 1.55883 9.13751i 0.0878301 0.514840i
\(316\) −5.64202 0.853838i −0.317389 0.0480321i
\(317\) −1.10174 + 11.7020i −0.0618796 + 0.657252i 0.908857 + 0.417107i \(0.136956\pi\)
−0.970737 + 0.240145i \(0.922805\pi\)
\(318\) −6.18107 + 9.14186i −0.346617 + 0.512650i
\(319\) 0.0851444 + 0.433362i 0.00476717 + 0.0242636i
\(320\) −0.806733 0.261008i −0.0450978 0.0145908i
\(321\) −30.7444 + 24.6530i −1.71598 + 1.37600i
\(322\) −0.794502 11.5231i −0.0442759 0.642157i
\(323\) 1.50319 34.2919i 0.0836398 1.90805i
\(324\) −15.4757 + 28.7094i −0.859759 + 1.59496i
\(325\) −5.18646 + 7.08247i −0.287693 + 0.392864i
\(326\) 2.85287 + 8.63294i 0.158006 + 0.478134i
\(327\) 26.2903 + 2.64130i 1.45386 + 0.146064i
\(328\) −1.44749 5.00332i −0.0799242 0.276262i
\(329\) −6.05410 + 19.9858i −0.333773 + 1.10185i
\(330\) −0.228550 0.480067i −0.0125813 0.0264268i
\(331\) −10.6833 4.36655i −0.587209 0.240007i 0.0652023 0.997872i \(-0.479231\pi\)
−0.652412 + 0.757865i \(0.726243\pi\)
\(332\) 24.8620 7.02440i 1.36448 0.385514i
\(333\) 57.5152 33.3666i 3.15181 1.82848i
\(334\) 4.34779 3.31103i 0.237901 0.181172i
\(335\) 0.340965 + 0.295109i 0.0186289 + 0.0161235i
\(336\) 0.314336 10.0424i 0.0171484 0.547856i
\(337\) −7.45187 + 17.2974i −0.405929 + 0.942251i 0.585387 + 0.810754i \(0.300942\pi\)
−0.991317 + 0.131497i \(0.958022\pi\)
\(338\) 6.62082 + 1.60486i 0.360125 + 0.0872931i
\(339\) 17.8417 + 7.55433i 0.969029 + 0.410295i
\(340\) −3.06309 1.16336i −0.166119 0.0630923i
\(341\) −1.65713 3.98302i −0.0897384 0.215693i
\(342\) 32.9255 + 23.1743i 1.78041 + 1.25312i
\(343\) −15.9786 + 10.3719i −0.862762 + 0.560028i
\(344\) −7.47866 24.6886i −0.403222 1.33112i
\(345\) −7.49334 + 6.82099i −0.403428 + 0.367230i
\(346\) −4.70689 + 9.88677i −0.253044 + 0.531516i
\(347\) −12.7417 11.5984i −0.684010 0.622636i 0.254831 0.966986i \(-0.417980\pi\)
−0.938842 + 0.344349i \(0.888100\pi\)
\(348\) −4.17799 + 1.70765i −0.223964 + 0.0915397i
\(349\) −2.85670 + 2.23254i −0.152916 + 0.119505i −0.689323 0.724454i \(-0.742092\pi\)
0.536407 + 0.843959i \(0.319781\pi\)
\(350\) 4.93513 7.10578i 0.263794 0.379820i
\(351\) 19.6158 + 15.7293i 1.04701 + 0.839568i
\(352\) −1.50294 2.28396i −0.0801072 0.121736i
\(353\) −24.3508 + 11.4065i −1.29606 + 0.607108i −0.944332 0.328994i \(-0.893290\pi\)
−0.351729 + 0.936102i \(0.614406\pi\)
\(354\) −14.2306 + 22.2265i −0.756347 + 1.18133i
\(355\) 1.60906 0.803437i 0.0854002 0.0426420i
\(356\) −21.3167 + 1.06812i −1.12978 + 0.0566102i
\(357\) −2.92846 + 35.9162i −0.154991 + 1.90089i
\(358\) −5.80456 + 1.10276i −0.306781 + 0.0582828i
\(359\) −10.2376 + 16.4396i −0.540323 + 0.867647i −0.999789 0.0205477i \(-0.993459\pi\)
0.459466 + 0.888195i \(0.348041\pi\)
\(360\) 7.21607 5.35399i 0.380320 0.282180i
\(361\) −28.1179 + 31.2806i −1.47989 + 1.64634i
\(362\) −1.72320 + 1.60848i −0.0905696 + 0.0845400i
\(363\) −7.92091 + 33.5944i −0.415740 + 1.76325i
\(364\) −6.91796 1.49461i −0.362600 0.0783388i
\(365\) −1.27889 + 2.60189i −0.0669403 + 0.136189i
\(366\) −3.11450 8.04824i −0.162797 0.420688i
\(367\) 25.0272 0.313264i 1.30641 0.0163523i 0.643728 0.765254i \(-0.277387\pi\)
0.662681 + 0.748902i \(0.269419\pi\)
\(368\) −4.97288 + 5.96847i −0.259229 + 0.311128i
\(369\) 14.3442 + 5.04086i 0.746730 + 0.262417i
\(370\) −3.23954 + 0.284558i −0.168416 + 0.0147935i
\(371\) 9.08467 + 8.47987i 0.471653 + 0.440253i
\(372\) 36.6767 24.4651i 1.90160 1.26846i
\(373\) 4.54860 17.3368i 0.235518 0.897663i −0.739065 0.673634i \(-0.764732\pi\)
0.974582 0.224029i \(-0.0719210\pi\)
\(374\) 0.741553 + 1.26001i 0.0383448 + 0.0651535i
\(375\) −15.5466 + 0.974203i −0.802823 + 0.0503076i
\(376\) −17.6351 + 9.93786i −0.909462 + 0.512506i
\(377\) 0.357285 + 1.70537i 0.0184011 + 0.0878310i
\(378\) −19.7140 15.0131i −1.01398 0.772189i
\(379\) −5.36907 0.675540i −0.275790 0.0347002i −0.0142702 0.999898i \(-0.504543\pi\)
−0.261520 + 0.965198i \(0.584224\pi\)
\(380\) 2.89326 + 5.05992i 0.148421 + 0.259568i
\(381\) 5.05426 14.0996i 0.258938 0.722346i
\(382\) 11.5942 8.37940i 0.593210 0.428727i
\(383\) −5.24132 0.394354i −0.267819 0.0201505i −0.0595619 0.998225i \(-0.518970\pi\)
−0.208257 + 0.978074i \(0.566779\pi\)
\(384\) 23.9201 23.4752i 1.22067 1.19796i
\(385\) −0.574123 + 0.169998i −0.0292600 + 0.00866390i
\(386\) −2.09232 11.4019i −0.106496 0.580344i
\(387\) 71.3504 + 24.0750i 3.62695 + 1.22380i
\(388\) 6.41751 0.160681i 0.325800 0.00815732i
\(389\) 8.89228 + 35.7073i 0.450857 + 1.81043i 0.574982 + 0.818166i \(0.305009\pi\)
−0.124126 + 0.992267i \(0.539613\pi\)
\(390\) −0.925313 1.88253i −0.0468550 0.0953257i
\(391\) 18.8846 20.4870i 0.955034 1.03607i
\(392\) −1.06042 0.201461i −0.0535593 0.0101753i
\(393\) 1.87613 6.80275i 0.0946383 0.343153i
\(394\) −3.63317 3.84379i −0.183037 0.193648i
\(395\) −1.78046 + 0.676221i −0.0895848 + 0.0340244i
\(396\) 5.07266 + 0.190563i 0.254911 + 0.00957613i
\(397\) −4.87878 + 1.31272i −0.244859 + 0.0658835i −0.380159 0.924921i \(-0.624131\pi\)
0.135300 + 0.990805i \(0.456800\pi\)
\(398\) 8.63805 7.10604i 0.432986 0.356194i
\(399\) 44.6133 46.0316i 2.23346 2.30446i
\(400\) −5.70255 + 1.15751i −0.285127 + 0.0578756i
\(401\) 10.4264 + 7.73589i 0.520668 + 0.386312i 0.824015 0.566569i \(-0.191729\pi\)
−0.303346 + 0.952880i \(0.598104\pi\)
\(402\) 1.91306 0.754111i 0.0954145 0.0376116i
\(403\) −6.73388 15.6308i −0.335438 0.778625i
\(404\) −0.919655 5.39081i −0.0457545 0.268203i
\(405\) 0.204361 + 10.8838i 0.0101548 + 0.540818i
\(406\) −0.394075 1.67136i −0.0195576 0.0829484i
\(407\) −3.57312 2.38344i −0.177113 0.118143i
\(408\) −26.1237 + 23.1885i −1.29332 + 1.14800i
\(409\) 0.00403027 + 0.00459805i 0.000199284 + 0.000227359i 0.752111 0.659036i \(-0.229036\pi\)
−0.751912 + 0.659263i \(0.770868\pi\)
\(410\) −0.530716 0.520844i −0.0262102 0.0257227i
\(411\) −28.1542 14.9498i −1.38875 0.737419i
\(412\) −0.0913304 + 14.5936i −0.00449953 + 0.718977i
\(413\) 22.2274 + 19.7300i 1.09374 + 0.970850i
\(414\) 8.29435 + 31.6135i 0.407645 + 1.55372i
\(415\) 6.07820 6.11636i 0.298367 0.300240i
\(416\) −6.04175 8.93580i −0.296221 0.438114i
\(417\) −10.3916 + 5.68574i −0.508877 + 0.278432i
\(418\) 0.405247 2.56903i 0.0198213 0.125656i
\(419\) −6.08643 + 1.07757i −0.297341 + 0.0526425i −0.321005 0.947077i \(-0.604021\pi\)
0.0236637 + 0.999720i \(0.492467\pi\)
\(420\) −2.83589 5.42236i −0.138377 0.264584i
\(421\) 18.2361 9.68332i 0.888775 0.471936i 0.0390958 0.999235i \(-0.487552\pi\)
0.849680 + 0.527299i \(0.176795\pi\)
\(422\) 13.8761 + 4.10871i 0.675478 + 0.200009i
\(423\) 6.27466 58.7560i 0.305084 2.85681i
\(424\) 0.678135 + 12.0273i 0.0329332 + 0.584097i
\(425\) 20.6348 3.12277i 1.00093 0.151477i
\(426\) 0.153966 8.19985i 0.00745967 0.397284i
\(427\) −9.49924 + 2.05229i −0.459701 + 0.0993172i
\(428\) −4.44662 + 17.8556i −0.214936 + 0.863082i
\(429\) 0.601992 2.70428i 0.0290644 0.130564i
\(430\) −2.66059 2.54652i −0.128305 0.122804i
\(431\) −3.32236 9.64665i −0.160032 0.464663i 0.836491 0.547981i \(-0.184604\pi\)
−0.996523 + 0.0833184i \(0.973448\pi\)
\(432\) 2.59691 + 16.4629i 0.124944 + 0.792072i
\(433\) 4.21052 + 5.45774i 0.202345 + 0.262282i 0.882000 0.471250i \(-0.156197\pi\)
−0.679655 + 0.733532i \(0.737870\pi\)
\(434\) 7.01998 + 15.2338i 0.336970 + 0.731245i
\(435\) −0.935038 + 1.18114i −0.0448316 + 0.0566313i
\(436\) 10.5135 6.45628i 0.503506 0.309200i
\(437\) −49.0964 + 6.80260i −2.34860 + 0.325412i
\(438\) 7.81098 + 10.6664i 0.373223 + 0.509662i
\(439\) 6.32343 8.86578i 0.301801 0.423141i −0.635264 0.772295i \(-0.719109\pi\)
0.937065 + 0.349154i \(0.113531\pi\)
\(440\) −0.515988 0.265762i −0.0245987 0.0126697i
\(441\) 2.27625 2.17865i 0.108393 0.103745i
\(442\) 2.98757 + 4.93399i 0.142104 + 0.234686i
\(443\) 1.13169 1.19730i 0.0537682 0.0568853i −0.699296 0.714832i \(-0.746503\pi\)
0.753064 + 0.657947i \(0.228575\pi\)
\(444\) 16.8612 40.5270i 0.800196 1.92333i
\(445\) −6.02333 + 3.80351i −0.285533 + 0.180304i
\(446\) 8.23030 + 3.85528i 0.389716 + 0.182553i
\(447\) 5.43700 + 37.5121i 0.257161 + 1.77426i
\(448\) 2.52840 + 3.54494i 0.119456 + 0.167483i
\(449\) −2.52294 + 7.63455i −0.119065 + 0.360297i −0.991784 0.127927i \(-0.959168\pi\)
0.872719 + 0.488224i \(0.162355\pi\)
\(450\) −9.96639 + 22.3598i −0.469820 + 1.05405i
\(451\) −0.116503 0.975175i −0.00548590 0.0459192i
\(452\) 8.76492 2.24110i 0.412267 0.105412i
\(453\) −54.5260 15.4056i −2.56186 0.723816i
\(454\) 3.98103 + 3.11121i 0.186839 + 0.146016i
\(455\) −2.25647 + 0.698975i −0.105785 + 0.0327684i
\(456\) 62.0945 2.33268i 2.90784 0.109238i
\(457\) 38.9865 16.5072i 1.82371 0.772174i 0.857468 0.514537i \(-0.172036\pi\)
0.966242 0.257638i \(-0.0829440\pi\)
\(458\) 17.7231 2.90948i 0.828145 0.135951i
\(459\) −6.34746 59.4377i −0.296274 2.77431i
\(460\) −0.853980 + 4.65370i −0.0398170 + 0.216980i
\(461\) −11.5993 + 20.8881i −0.540235 + 0.972854i 0.456312 + 0.889820i \(0.349170\pi\)
−0.996547 + 0.0830337i \(0.973539\pi\)
\(462\) −0.526390 + 2.67919i −0.0244899 + 0.124647i
\(463\) 6.62885 + 6.67046i 0.308069 + 0.310003i 0.846207 0.532854i \(-0.178880\pi\)
−0.538139 + 0.842856i \(0.680872\pi\)
\(464\) −0.585805 + 0.995370i −0.0271953 + 0.0462089i
\(465\) 6.65580 13.1236i 0.308655 0.608592i
\(466\) −1.05705 1.33527i −0.0489669 0.0618551i
\(467\) −16.5429 6.04718i −0.765512 0.279830i −0.0692327 0.997601i \(-0.522055\pi\)
−0.696280 + 0.717771i \(0.745163\pi\)
\(468\) 20.0206 + 0.501272i 0.925452 + 0.0231713i
\(469\) −0.503176 2.26038i −0.0232345 0.104375i
\(470\) −1.49686 + 2.47208i −0.0690452 + 0.114029i
\(471\) 9.10169 + 33.0022i 0.419384 + 1.52066i
\(472\) 2.34126 + 28.7145i 0.107765 + 1.32169i
\(473\) −0.637415 4.82221i −0.0293084 0.221726i
\(474\) −1.03025 + 8.62359i −0.0473208 + 0.396095i
\(475\) −31.8769 19.0301i −1.46261 0.873161i
\(476\) 9.07274 + 14.1706i 0.415848 + 0.649507i
\(477\) −29.7330 18.7753i −1.36138 0.859661i
\(478\) −10.5501 + 7.42560i −0.482551 + 0.339639i
\(479\) −3.46123 + 8.62204i −0.158148 + 0.393951i −0.985944 0.167079i \(-0.946567\pi\)
0.827796 + 0.561029i \(0.189595\pi\)
\(480\) 2.59177 8.95859i 0.118298 0.408902i
\(481\) −14.2133 9.22600i −0.648070 0.420669i
\(482\) 0.738118 + 1.83867i 0.0336203 + 0.0837493i
\(483\) 51.7749 5.20164i 2.35584 0.236683i
\(484\) 6.56131 + 14.7204i 0.298241 + 0.669110i
\(485\) 1.83972 1.09829i 0.0835372 0.0498706i
\(486\) 18.4544 + 9.21463i 0.837107 + 0.417984i
\(487\) 33.5993 + 14.7248i 1.52253 + 0.667246i 0.984453 0.175650i \(-0.0562028\pi\)
0.538077 + 0.842896i \(0.319151\pi\)
\(488\) −8.02767 4.92973i −0.363395 0.223158i
\(489\) −38.4708 + 14.0628i −1.73971 + 0.635943i
\(490\) −0.146012 + 0.0492674i −0.00659616 + 0.00222568i
\(491\) −9.08134 16.3537i −0.409835 0.738030i 0.587634 0.809127i \(-0.300059\pi\)
−0.997469 + 0.0710963i \(0.977350\pi\)
\(492\) 9.54949 3.08961i 0.430524 0.139290i
\(493\) 2.27706 3.46036i 0.102554 0.155847i
\(494\) 1.47181 10.1546i 0.0662197 0.456877i
\(495\) 1.50622 0.775789i 0.0676997 0.0348691i
\(496\) 3.67366 10.6667i 0.164952 0.478948i
\(497\) −9.09438 1.61011i −0.407939 0.0722231i
\(498\) −11.8697 37.4868i −0.531895 1.67983i
\(499\) 3.10383 14.8150i 0.138946 0.663210i −0.851391 0.524531i \(-0.824241\pi\)
0.990338 0.138678i \(-0.0442854\pi\)
\(500\) −5.49964 + 4.75999i −0.245951 + 0.212873i
\(501\) 15.5219 + 19.1108i 0.693466 + 0.853808i
\(502\) −10.2545 −0.457680
\(503\) −21.0346 + 7.78104i −0.937888 + 0.346939i
\(504\) −46.1425 −2.05535
\(505\) −1.15074 1.41681i −0.0512074 0.0630474i
\(506\) 1.59631 1.38162i 0.0709646 0.0614205i
\(507\) −6.29330 + 30.0388i −0.279495 + 1.33407i
\(508\) −2.11120 6.66755i −0.0936691 0.295825i
\(509\) −16.1451 2.85839i −0.715619 0.126696i −0.195393 0.980725i \(-0.562598\pi\)
−0.520226 + 0.854029i \(0.674152\pi\)
\(510\) −1.62392 + 4.71513i −0.0719082 + 0.208789i
\(511\) 13.2358 6.81717i 0.585517 0.301574i
\(512\) 1.89829 13.0971i 0.0838935 0.578816i
\(513\) −58.4526 + 88.8281i −2.58075 + 3.92186i
\(514\) −10.8499 + 3.51034i −0.478569 + 0.154834i
\(515\) 2.36474 + 4.25841i 0.104203 + 0.187648i
\(516\) 47.1011 15.8929i 2.07351 0.699644i
\(517\) −3.58490 + 1.31045i −0.157664 + 0.0576334i
\(518\) 14.2309 + 8.73910i 0.625271 + 0.383974i
\(519\) −45.1821 19.8010i −1.98327 0.869165i
\(520\) −2.04864 1.02293i −0.0898390 0.0448584i
\(521\) 28.4429 16.9801i 1.24611 0.743910i 0.270350 0.962762i \(-0.412861\pi\)
0.975758 + 0.218852i \(0.0702311\pi\)
\(522\) 1.97819 + 4.43810i 0.0865830 + 0.194250i
\(523\) −21.3787 + 2.14784i −0.934825 + 0.0939185i −0.555659 0.831410i \(-0.687534\pi\)
−0.379166 + 0.925329i \(0.623789\pi\)
\(524\) −1.22754 3.05783i −0.0536252 0.133582i
\(525\) 32.6919 + 21.2207i 1.42679 + 0.926145i
\(526\) −3.13809 + 10.8470i −0.136827 + 0.472950i
\(527\) −15.0739 + 37.5496i −0.656630 + 1.63569i
\(528\) 1.50175 1.05699i 0.0653552 0.0459997i
\(529\) −14.5722 9.20184i −0.633576 0.400080i
\(530\) 0.927335 + 1.44839i 0.0402808 + 0.0629141i
\(531\) −72.2100 43.1084i −3.13365 1.87075i
\(532\) 3.55069 29.7207i 0.153942 1.28856i
\(533\) −0.507744 3.84122i −0.0219929 0.166382i
\(534\) 2.63991 + 32.3773i 0.114240 + 1.40110i
\(535\) 1.63283 + 5.92055i 0.0705934 + 0.255968i
\(536\) 1.16266 1.92015i 0.0502195 0.0829378i
\(537\) −5.78369 25.9817i −0.249585 1.12119i
\(538\) −13.3482 0.334209i −0.575481 0.0144088i
\(539\) −0.191157 0.0698767i −0.00823372 0.00300980i
\(540\) 6.30031 + 7.95856i 0.271122 + 0.342482i
\(541\) −10.5262 + 20.7550i −0.452555 + 0.892327i 0.545958 + 0.837813i \(0.316166\pi\)
−0.998513 + 0.0545142i \(0.982639\pi\)
\(542\) −1.39728 + 2.37418i −0.0600182 + 0.101980i
\(543\) −7.48563 7.53263i −0.321239 0.323256i
\(544\) −4.94387 + 25.1630i −0.211966 + 1.07885i
\(545\) 1.99914 3.60005i 0.0856338 0.154209i
\(546\) −1.94427 + 10.5951i −0.0832069 + 0.453430i
\(547\) 1.04183 + 9.75569i 0.0445453 + 0.417123i 0.994500 + 0.104736i \(0.0333997\pi\)
−0.949955 + 0.312388i \(0.898871\pi\)
\(548\) −14.6880 + 2.41122i −0.627439 + 0.103002i
\(549\) 25.3231 10.7220i 1.08076 0.457604i
\(550\) 1.58019 0.0593623i 0.0673795 0.00253122i
\(551\) −7.03886 + 2.18039i −0.299866 + 0.0928879i
\(552\) 39.7432 + 31.0597i 1.69158 + 1.32199i
\(553\) 9.41198 + 2.65922i 0.400238 + 0.113082i
\(554\) −15.1906 + 3.88406i −0.645385 + 0.165018i
\(555\) −1.73791 14.5471i −0.0737703 0.617488i
\(556\) −2.25177 + 5.05188i −0.0954962 + 0.214247i
\(557\) 3.86191 11.6863i 0.163634 0.495165i −0.834833 0.550503i \(-0.814436\pi\)
0.998468 + 0.0553372i \(0.0176234\pi\)
\(558\) −27.5603 38.6409i −1.16672 1.63580i
\(559\) −2.75265 18.9917i −0.116425 0.803263i
\(560\) −1.41797 0.664215i −0.0599203 0.0280682i
\(561\) −5.56911 + 3.51669i −0.235128 + 0.148475i
\(562\) 8.55098 20.5529i 0.360701 0.866971i
\(563\) 19.1471 20.2571i 0.806953 0.853733i −0.184683 0.982798i \(-0.559126\pi\)
0.991636 + 0.129065i \(0.0411975\pi\)
\(564\) −20.2042 33.3674i −0.850751 1.40502i
\(565\) 2.18139 2.08786i 0.0917717 0.0878370i
\(566\) −5.23040 2.69395i −0.219850 0.113235i
\(567\) 32.4604 45.5111i 1.36321 1.91129i
\(568\) −5.28942 7.22306i −0.221939 0.303073i
\(569\) 14.2125 1.96923i 0.595820 0.0825544i 0.167020 0.985954i \(-0.446586\pi\)
0.428801 + 0.903399i \(0.358936\pi\)
\(570\) 7.55964 4.64232i 0.316639 0.194445i
\(571\) 2.00789 2.53636i 0.0840274 0.106144i −0.740244 0.672338i \(-0.765290\pi\)
0.824272 + 0.566195i \(0.191585\pi\)
\(572\) −0.541407 1.17489i −0.0226374 0.0491245i
\(573\) 39.3653 + 51.0258i 1.64451 + 2.13164i
\(574\) 0.594999 + 3.77195i 0.0248348 + 0.157438i
\(575\) −9.81334 28.4936i −0.409245 1.18826i
\(576\) −8.90089 8.51926i −0.370870 0.354969i
\(577\) −7.47325 + 33.5715i −0.311115 + 1.39760i 0.525958 + 0.850511i \(0.323707\pi\)
−0.837073 + 0.547091i \(0.815735\pi\)
\(578\) 0.394227 1.58303i 0.0163977 0.0658455i
\(579\) 51.0464 11.0284i 2.12142 0.458327i
\(580\) −0.0132054 + 0.703288i −0.000548325 + 0.0292025i
\(581\) −43.7826 + 6.62586i −1.81641 + 0.274887i
\(582\) −0.550016 9.75500i −0.0227989 0.404358i
\(583\) −0.241202 + 2.25862i −0.00998956 + 0.0935424i
\(584\) 13.8380 + 4.09742i 0.572619 + 0.169553i
\(585\) 5.90360 3.13479i 0.244084 0.129608i
\(586\) 0.430583 + 0.823295i 0.0177872 + 0.0340100i
\(587\) 41.8567 7.41047i 1.72761 0.305863i 0.780115 0.625636i \(-0.215161\pi\)
0.947494 + 0.319773i \(0.103607\pi\)
\(588\) 0.324097 2.05459i 0.0133655 0.0847299i
\(589\) 63.1444 34.5495i 2.60182 1.42359i
\(590\) 2.30379 + 3.40733i 0.0948455 + 0.140277i
\(591\) 16.7960 16.9014i 0.690894 0.695231i
\(592\) −2.85048 10.8645i −0.117154 0.446527i
\(593\) 23.4293 + 20.7968i 0.962126 + 0.854024i 0.989343 0.145606i \(-0.0465131\pi\)
−0.0272169 + 0.999630i \(0.508664\pi\)
\(594\) 0.0283443 4.52912i 0.00116298 0.185832i
\(595\) 4.96009 + 2.63379i 0.203344 + 0.107975i
\(596\) 12.6318 + 12.3968i 0.517418 + 0.507794i
\(597\) 33.2149 + 37.8943i 1.35940 + 1.55091i
\(598\) 6.22907 5.52919i 0.254725 0.226105i
\(599\) −18.4329 12.2956i −0.753148 0.502386i 0.118237 0.992985i \(-0.462276\pi\)
−0.871385 + 0.490600i \(0.836778\pi\)
\(600\) 8.67018 + 36.7722i 0.353958 + 1.50122i
\(601\) 0.374815 + 19.9618i 0.0152890 + 0.814257i 0.920822 + 0.389982i \(0.127519\pi\)
−0.905533 + 0.424275i \(0.860529\pi\)
\(602\) 3.18048 + 18.6432i 0.129627 + 0.759842i
\(603\) 2.59255 + 6.01789i 0.105577 + 0.245067i
\(604\) −24.6134 + 9.70242i −1.00151 + 0.394786i
\(605\) 4.31993 + 3.20519i 0.175630 + 0.130309i
\(606\) −8.15699 + 1.65572i −0.331355 + 0.0672590i
\(607\) −9.06883 + 9.35713i −0.368092 + 0.379794i −0.876565 0.481284i \(-0.840171\pi\)
0.508472 + 0.861078i \(0.330210\pi\)
\(608\) 35.2294 28.9812i 1.42874 1.17534i
\(609\) 7.47036 2.01003i 0.302714 0.0814506i
\(610\) −1.34398 0.0504888i −0.0544162 0.00204423i
\(611\) −14.0774 + 5.34660i −0.569510 + 0.216300i
\(612\) −32.7052 34.6012i −1.32203 1.39867i
\(613\) 11.4904 41.6637i 0.464094 1.68278i −0.238463 0.971152i \(-0.576643\pi\)
0.702557 0.711628i \(-0.252042\pi\)
\(614\) −14.2074 2.69916i −0.573366 0.108929i
\(615\) 2.27048 2.46315i 0.0915548 0.0993236i
\(616\) 1.31478 + 2.67490i 0.0529741 + 0.107775i
\(617\) −6.67494 26.8035i −0.268723 1.07907i −0.940902 0.338679i \(-0.890020\pi\)
0.672179 0.740389i \(-0.265359\pi\)
\(618\) 22.2049 0.555964i 0.893214 0.0223641i
\(619\) −10.6421 3.59085i −0.427741 0.144328i 0.0975889 0.995227i \(-0.468887\pi\)
−0.525330 + 0.850898i \(0.676058\pi\)
\(620\) −1.24014 6.75805i −0.0498052 0.271410i
\(621\) −82.7647 + 24.5066i −3.32123 + 0.983417i
\(622\) 7.80240 7.65727i 0.312848 0.307029i
\(623\) 36.4792 + 2.74467i 1.46151 + 0.109963i
\(624\) 5.87206 4.24388i 0.235071 0.169891i
\(625\) 7.19682 20.0766i 0.287873 0.803065i
\(626\) −4.62991 8.09706i −0.185048 0.323624i
\(627\) 11.6251 + 1.46268i 0.464262 + 0.0584138i
\(628\) 12.7173 + 9.68480i 0.507477 + 0.386465i
\(629\) 8.26064 + 39.4291i 0.329373 + 1.57214i
\(630\) −5.73907 + 3.23411i −0.228650 + 0.128850i
\(631\) −42.4079 + 2.65742i −1.68823 + 0.105790i −0.877483 0.479607i \(-0.840779\pi\)
−0.810747 + 0.585397i \(0.800939\pi\)
\(632\) 4.80865 + 8.17061i 0.191278 + 0.325009i
\(633\) −16.5452 + 63.0611i −0.657612 + 2.50645i
\(634\) 6.94897 4.63530i 0.275979 0.184091i
\(635\) −1.70642 1.59281i −0.0677171 0.0632089i
\(636\) −23.1246 + 2.03124i −0.916949 + 0.0805439i
\(637\) −0.757547 0.266218i −0.0300151 0.0105479i
\(638\) 0.200912 0.241136i 0.00795420 0.00954666i
\(639\) 26.1318 0.327091i 1.03376 0.0129395i
\(640\) −1.88504 4.87118i −0.0745129 0.192550i
\(641\) −19.1843 + 39.0302i −0.757736 + 1.54160i 0.0807852 + 0.996732i \(0.474257\pi\)
−0.838521 + 0.544869i \(0.816579\pi\)
\(642\) 27.3746 + 5.91421i 1.08039 + 0.233415i
\(643\) 5.09351 21.6028i 0.200869 0.851930i −0.774717 0.632309i \(-0.782108\pi\)
0.975585 0.219621i \(-0.0704821\pi\)
\(644\) 17.7617 16.5793i 0.699911 0.653314i
\(645\) 11.0916 12.3392i 0.436731 0.485854i
\(646\) −19.5904 + 14.5352i −0.770773 + 0.571878i
\(647\) −23.6740 + 38.0156i −0.930720 + 1.49455i −0.0626908 + 0.998033i \(0.519968\pi\)
−0.868029 + 0.496513i \(0.834613\pi\)
\(648\) 53.2353 10.1137i 2.09128 0.397305i
\(649\) −0.441467 + 5.41438i −0.0173291 + 0.212533i
\(650\) 6.23076 0.312205i 0.244391 0.0122457i
\(651\) −67.6061 + 33.7571i −2.64969 + 1.32304i
\(652\) −10.3127 + 16.1073i −0.403878 + 0.630811i
\(653\) −14.5742 + 6.82693i −0.570333 + 0.267158i −0.687778 0.725921i \(-0.741414\pi\)
0.117446 + 0.993079i \(0.462529\pi\)
\(654\) −10.3222 15.6863i −0.403632 0.613382i
\(655\) −0.857988 0.687995i −0.0335243 0.0268822i
\(656\) 1.46508 2.10947i 0.0572016 0.0823610i
\(657\) −33.1938 + 25.9413i −1.29501 + 1.01207i
\(658\) 13.7375 5.61488i 0.535545 0.218891i
\(659\) 8.66281 + 7.88553i 0.337455 + 0.307177i 0.824123 0.566411i \(-0.191668\pi\)
−0.486668 + 0.873587i \(0.661788\pi\)
\(660\) 0.480770 1.00985i 0.0187139 0.0393084i
\(661\) 23.4815 21.3746i 0.913324 0.831375i −0.0728061 0.997346i \(-0.523195\pi\)
0.986131 + 0.165971i \(0.0530759\pi\)
\(662\) 2.37786 + 7.84980i 0.0924181 + 0.305091i
\(663\) −21.7960 + 14.1480i −0.846485 + 0.549463i
\(664\) −35.1010 24.7055i −1.36218 0.958760i
\(665\) −3.83755 9.22383i −0.148814 0.357685i
\(666\) −44.1759 16.7780i −1.71178 0.650136i
\(667\) −5.50820 2.33222i −0.213278 0.0903038i
\(668\) 11.1724 + 2.70816i 0.432275 + 0.104782i
\(669\) −16.1998 + 37.6032i −0.626319 + 1.45382i
\(670\) 0.0100261 0.320313i 0.000387343 0.0123748i
\(671\) −1.34311 1.16248i −0.0518504 0.0448770i
\(672\) −38.1011 + 29.0156i −1.46978 + 1.11930i
\(673\) 26.2674 15.2387i 1.01254 0.587407i 0.0993930 0.995048i \(-0.468310\pi\)
0.913142 + 0.407641i \(0.133649\pi\)
\(674\) 12.8808 3.63928i 0.496149 0.140180i
\(675\) −59.8465 24.4608i −2.30349 0.941495i
\(676\) 6.16005 + 12.9391i 0.236925 + 0.497659i
\(677\) 7.09621 23.4261i 0.272730 0.900337i −0.708206 0.706006i \(-0.750495\pi\)
0.980936 0.194331i \(-0.0622537\pi\)
\(678\) −3.82663 13.2269i −0.146961 0.507978i
\(679\) −10.9478 1.09989i −0.420139 0.0422099i
\(680\) 1.70813 + 5.16890i 0.0655040 + 0.198218i
\(681\) −13.4482 + 18.3645i −0.515337 + 0.703728i
\(682\) −1.45473 + 2.69872i −0.0557046 + 0.103339i
\(683\) 1.10545 25.2183i 0.0422987 0.964951i −0.853665 0.520823i \(-0.825625\pi\)
0.895964 0.444128i \(-0.146486\pi\)
\(684\) 5.82588 + 84.4959i 0.222758 + 3.23078i
\(685\) −3.87578 + 3.10787i −0.148086 + 0.118746i
\(686\) 12.8807 + 4.16738i 0.491787 + 0.159111i
\(687\) 15.5989 + 79.3943i 0.595136 + 3.02908i
\(688\) 7.12484 10.5377i 0.271632 0.401746i
\(689\) −0.839992 + 8.92194i −0.0320011 + 0.339899i
\(690\) 7.12011 + 1.07752i 0.271058 + 0.0410207i
\(691\) 3.24709 19.0337i 0.123525 0.724077i −0.855106 0.518453i \(-0.826508\pi\)
0.978631 0.205624i \(-0.0659223\pi\)
\(692\) −22.3858 + 5.42625i −0.850981 + 0.206275i
\(693\) −8.58567 1.40945i −0.326142 0.0535406i
\(694\) −0.689310 + 12.2255i −0.0261659 + 0.464074i
\(695\) 0.173039 + 1.83793i 0.00656374 + 0.0697165i
\(696\) 6.57856 + 3.59946i 0.249360 + 0.136437i
\(697\) −5.62666 + 7.29335i −0.213125 + 0.276255i
\(698\) 2.51150 + 0.575596i 0.0950616 + 0.0217866i
\(699\) 5.86353 4.94794i 0.221779 0.187148i
\(700\) 18.1476 1.36541i 0.685915 0.0516078i
\(701\) 24.0402 27.4270i 0.907985 1.03590i −0.0912114 0.995832i \(-0.529074\pi\)
0.999197 0.0400721i \(-0.0127588\pi\)
\(702\) −0.111824 17.8684i −0.00422054 0.674398i
\(703\) 33.2119 63.5027i 1.25261 2.39505i
\(704\) −0.240244 + 0.758737i −0.00905454 + 0.0285960i
\(705\) −11.3424 6.39174i −0.427179 0.240727i
\(706\) 17.2026 + 8.32226i 0.647428 + 0.313212i
\(707\) 0.410483 + 9.36424i 0.0154378 + 0.352179i
\(708\) −55.1650 + 6.24058i −2.07323 + 0.234535i
\(709\) 1.29007 + 1.06127i 0.0484494 + 0.0398567i 0.659212 0.751957i \(-0.270890\pi\)
−0.610763 + 0.791814i \(0.709137\pi\)
\(710\) −1.16414 0.527650i −0.0436896 0.0198024i
\(711\) −27.5688 2.42161i −1.03391 0.0908176i
\(712\) 23.7060 + 26.3724i 0.888419 + 0.988347i
\(713\) 57.2602 + 11.6228i 2.14441 + 0.435276i
\(714\) 21.1250 14.4767i 0.790583 0.541776i
\(715\) −0.349942 0.252912i −0.0130871 0.00945838i
\(716\) −9.49866 8.01545i −0.354981 0.299551i
\(717\) −34.9234 46.4590i −1.30424 1.73504i
\(718\) 13.6557 1.71817i 0.509626 0.0641216i
\(719\) 11.9071 + 6.90775i 0.444061 + 0.257615i 0.707023 0.707191i \(-0.250038\pi\)
−0.262961 + 0.964806i \(0.584699\pi\)
\(720\) 4.29262 + 1.09758i 0.159976 + 0.0409042i
\(721\) 3.27788 24.7980i 0.122075 0.923526i
\(722\) 29.8538 + 1.49589i 1.11104 + 0.0556712i
\(723\) −8.17524 + 3.58278i −0.304041 + 0.133245i
\(724\) −4.91171 0.680547i −0.182542 0.0252923i
\(725\) −2.12589 3.94381i −0.0789538 0.146470i
\(726\) 22.0810 10.6823i 0.819504 0.396459i
\(727\) −9.07110 0.568426i −0.336429 0.0210817i −0.106568 0.994305i \(-0.533986\pi\)
−0.229860 + 0.973224i \(0.573827\pi\)
\(728\) 5.31877 + 10.4873i 0.197127 + 0.388686i
\(729\) −11.4991 + 24.9537i −0.425891 + 0.924209i
\(730\) 2.00831 0.460274i 0.0743310 0.0170355i
\(731\) −27.4132 + 36.4682i −1.01391 + 1.34882i
\(732\) 9.01105 15.7591i 0.333058 0.582472i
\(733\) −25.1755 29.4581i −0.929879 1.08806i −0.995920 0.0902420i \(-0.971236\pi\)
0.0660408 0.997817i \(-0.478963\pi\)
\(734\) −11.3862 13.6657i −0.420271 0.504410i
\(735\) −0.242423 0.650528i −0.00894192 0.0239951i
\(736\) 37.0273 + 0.463470i 1.36485 + 0.0170837i
\(737\) 0.274988 0.321765i 0.0101293 0.0118524i
\(738\) −3.64612 10.1714i −0.134216 0.374415i
\(739\) −35.6201 24.4100i −1.31031 0.897935i −0.311673 0.950189i \(-0.600889\pi\)
−0.998634 + 0.0522540i \(0.983359\pi\)
\(740\) −4.76092 4.91227i −0.175015 0.180579i
\(741\) 45.9321 + 5.19610i 1.68736 + 0.190884i
\(742\) 0.607497 8.81087i 0.0223019 0.323457i
\(743\) 10.1681 + 14.6404i 0.373030 + 0.537102i 0.962710 0.270534i \(-0.0872004\pi\)
−0.589680 + 0.807637i \(0.700746\pi\)
\(744\) −69.9689 21.6739i −2.56518 0.794604i
\(745\) 5.70432 + 1.53485i 0.208990 + 0.0562325i
\(746\) −11.6017 + 5.25847i −0.424767 + 0.192526i
\(747\) 118.212 41.5422i 4.32515 1.51995i
\(748\) −1.07395 + 2.88186i −0.0392673 + 0.105371i
\(749\) 11.3823 29.4133i 0.415901 1.07474i
\(750\) 7.50302 + 8.13968i 0.273971 + 0.297219i
\(751\) 14.2709 + 22.9161i 0.520752 + 0.836222i 0.999120 0.0419379i \(-0.0133532\pi\)
−0.478368 + 0.878159i \(0.658771\pi\)
\(752\) −9.28621 3.66055i −0.338633 0.133486i
\(753\) −1.44530 46.1744i −0.0526698 1.68269i
\(754\) 0.780673 0.961178i 0.0284304 0.0350040i
\(755\) −5.56712 + 6.85434i −0.202608 + 0.249455i
\(756\) −1.63079 52.1003i −0.0593112 1.89487i
\(757\) 4.25461 + 1.67713i 0.154636 + 0.0609564i 0.442777 0.896632i \(-0.353993\pi\)
−0.288141 + 0.957588i \(0.593037\pi\)
\(758\) 2.03293 + 3.26448i 0.0738395 + 0.118571i
\(759\) 6.44623 + 6.99322i 0.233983 + 0.253838i
\(760\) 3.49495 9.03138i 0.126775 0.327602i
\(761\) 0.503826 1.35199i 0.0182637 0.0490094i −0.927597 0.373583i \(-0.878129\pi\)
0.945860 + 0.324573i \(0.105221\pi\)
\(762\) −10.0425 + 3.52915i −0.363801 + 0.127847i
\(763\) −19.2604 + 8.72982i −0.697275 + 0.316041i
\(764\) 29.0585 + 7.81868i 1.05130 + 0.282870i
\(765\) −15.1795 4.70209i −0.548817 0.170004i
\(766\) 2.13082 + 3.06803i 0.0769895 + 0.110852i
\(767\) −1.47419 + 21.3810i −0.0532300 + 0.772024i
\(768\) −34.4796 3.90053i −1.24418 0.140748i
\(769\) −12.6454 13.0474i −0.456006 0.470503i 0.450451 0.892801i \(-0.351263\pi\)
−0.906457 + 0.422299i \(0.861223\pi\)
\(770\) 0.351012 + 0.240544i 0.0126496 + 0.00866859i
\(771\) −17.3358 48.3607i −0.624332 1.74167i
\(772\) 15.8427 18.5377i 0.570193