Properties

Label 441.2.bd.a.122.12
Level $441$
Weight $2$
Character 441.122
Analytic conductor $3.521$
Analytic rank $0$
Dimension $648$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 441 = 3^{2} \cdot 7^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 441.bd (of order \(42\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.52140272914\)
Analytic rank: \(0\)
Dimension: \(648\)
Relative dimension: \(54\) over \(\Q(\zeta_{42})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{42}]$

Embedding invariants

Embedding label 122.12
Character \(\chi\) \(=\) 441.122
Dual form 441.2.bd.a.47.12

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.22870 + 1.32422i) q^{2} +(0.168894 - 1.72380i) q^{3} +(-0.0944028 - 1.25972i) q^{4} +(0.684410 - 0.858223i) q^{5} +(2.07517 + 2.34167i) q^{6} +(1.06533 + 2.42179i) q^{7} +(-1.04054 - 0.829802i) q^{8} +(-2.94295 - 0.582277i) q^{9} +O(q^{10})\) \(q+(-1.22870 + 1.32422i) q^{2} +(0.168894 - 1.72380i) q^{3} +(-0.0944028 - 1.25972i) q^{4} +(0.684410 - 0.858223i) q^{5} +(2.07517 + 2.34167i) q^{6} +(1.06533 + 2.42179i) q^{7} +(-1.04054 - 0.829802i) q^{8} +(-2.94295 - 0.582277i) q^{9} +(0.295544 + 1.96080i) q^{10} +(4.90547 + 1.11964i) q^{11} +(-2.18744 - 0.0500273i) q^{12} +(-2.31554 + 2.49556i) q^{13} +(-4.51595 - 1.56492i) q^{14} +(-1.36381 - 1.32473i) q^{15} +(4.87563 - 0.734883i) q^{16} +(0.0541590 - 0.722701i) q^{17} +(4.38705 - 3.18167i) q^{18} +(3.19553 - 1.84494i) q^{19} +(-1.14573 - 0.781145i) q^{20} +(4.35460 - 1.42738i) q^{21} +(-7.50999 + 5.12022i) q^{22} +(1.87785 - 3.89939i) q^{23} +(-1.60615 + 1.65353i) q^{24} +(0.844475 + 3.69989i) q^{25} +(-0.459573 - 6.13257i) q^{26} +(-1.50077 + 4.97470i) q^{27} +(2.95020 - 1.57064i) q^{28} +(4.96111 - 7.27661i) q^{29} +(3.42994 - 0.178289i) q^{30} +(5.05494 - 2.91847i) q^{31} +(-3.51807 + 5.16007i) q^{32} +(2.75854 - 8.26694i) q^{33} +(0.890470 + 0.959698i) q^{34} +(2.80756 + 0.743210i) q^{35} +(-0.455682 + 3.76226i) q^{36} +(8.62235 + 5.87862i) q^{37} +(-1.48323 + 6.49845i) q^{38} +(3.91076 + 4.41301i) q^{39} +(-1.42431 + 0.325090i) q^{40} +(-0.00356075 - 0.00907264i) q^{41} +(-3.46032 + 7.52027i) q^{42} +(-1.60697 + 4.09449i) q^{43} +(0.947343 - 6.28521i) q^{44} +(-2.51391 + 2.12719i) q^{45} +(2.85634 + 7.27784i) q^{46} +(0.570535 + 0.529379i) q^{47} +(-0.443325 - 8.52871i) q^{48} +(-4.73015 + 5.16000i) q^{49} +(-5.93706 - 3.42777i) q^{50} +(-1.23664 - 0.215419i) q^{51} +(3.36230 + 2.68134i) q^{52} +(-0.0965396 - 0.141598i) q^{53} +(-4.74360 - 8.09975i) q^{54} +(4.31826 - 3.44370i) q^{55} +(0.901093 - 3.40398i) q^{56} +(-2.64060 - 5.82004i) q^{57} +(3.54013 + 15.5103i) q^{58} +(1.11361 - 2.83744i) q^{59} +(-1.54004 + 1.84307i) q^{60} +(-13.4782 - 1.01005i) q^{61} +(-2.34629 + 10.2798i) q^{62} +(-1.72505 - 7.74753i) q^{63} +(-0.316048 - 1.38470i) q^{64} +(0.556967 + 3.69524i) q^{65} +(7.55783 + 13.8105i) q^{66} +(2.96470 + 5.13501i) q^{67} -0.915512 q^{68} +(-6.40460 - 3.89561i) q^{69} +(-4.43381 + 2.80464i) q^{70} +(-4.66884 + 9.69494i) q^{71} +(2.57908 + 3.04795i) q^{72} +(3.82640 - 12.4049i) q^{73} +(-18.3788 + 4.19485i) q^{74} +(6.52048 - 0.830815i) q^{75} +(-2.62577 - 3.85130i) q^{76} +(2.51440 + 13.0728i) q^{77} +(-10.6489 - 0.243543i) q^{78} +(3.99090 - 6.91244i) q^{79} +(2.70623 - 4.68734i) q^{80} +(8.32191 + 3.42722i) q^{81} +(0.0163892 + 0.00643231i) q^{82} +(-7.60930 + 7.06040i) q^{83} +(-2.20919 - 5.35082i) q^{84} +(-0.583172 - 0.541104i) q^{85} +(-3.44753 - 7.15887i) q^{86} +(-11.7055 - 9.78092i) q^{87} +(-4.17526 - 5.23561i) q^{88} +(5.96604 - 5.53567i) q^{89} +(0.271961 - 5.94264i) q^{90} +(-8.51054 - 2.94917i) q^{91} +(-5.08940 - 1.99744i) q^{92} +(-4.17710 - 9.20660i) q^{93} +(-1.40203 + 0.105068i) q^{94} +(0.603682 - 4.00517i) q^{95} +(8.30072 + 6.93595i) q^{96} +(11.6417 - 6.72135i) q^{97} +(-1.02106 - 12.6038i) q^{98} +(-13.7846 - 6.15140i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} + O(q^{10}) \) \( 648q - 18q^{2} - 11q^{3} - 60q^{4} - 15q^{5} - 22q^{6} - 5q^{7} + 13q^{9} - 22q^{10} - 21q^{11} + 24q^{12} - 10q^{13} - 24q^{14} - 10q^{15} + 42q^{16} + 9q^{17} + 12q^{18} - 36q^{19} - 15q^{20} - 38q^{21} - 9q^{22} - 84q^{23} - 38q^{24} - 97q^{25} - 6q^{26} - 20q^{27} - 26q^{28} - 123q^{29} - q^{30} - 6q^{31} - 30q^{32} - 8q^{33} - q^{34} + 70q^{36} - 13q^{37} - 75q^{38} - 24q^{39} - 7q^{40} - 15q^{41} - 133q^{42} - 9q^{43} - 51q^{44} - 41q^{45} - 108q^{46} - 36q^{47} + 15q^{48} + 5q^{49} - 45q^{50} + 10q^{51} - 35q^{52} + 12q^{53} - 50q^{54} + 14q^{55} + 33q^{56} - 7q^{57} + 33q^{58} - 3q^{59} + 180q^{60} + 55q^{61} - 66q^{62} - 20q^{63} + 64q^{64} + 3q^{65} + 285q^{66} + 13q^{67} + 6q^{68} + 82q^{69} + 11q^{70} + 63q^{71} - 21q^{72} - 22q^{73} - 21q^{74} - 107q^{75} + 21q^{76} - 69q^{77} + 63q^{78} + q^{79} + 45q^{80} - 211q^{81} - 28q^{82} + 9q^{83} + 239q^{84} - 10q^{85} - 21q^{86} - 109q^{87} - 29q^{88} - 132q^{89} - 275q^{90} - 13q^{91} + 195q^{92} + 19q^{93} - 4q^{94} - 129q^{95} - 5q^{96} - 3q^{97} - 21q^{98} - 148q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/441\mathbb{Z}\right)^\times\).

\(n\) \(199\) \(344\)
\(\chi(n)\) \(e\left(\frac{37}{42}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.22870 + 1.32422i −0.868819 + 0.936364i −0.998476 0.0551946i \(-0.982422\pi\)
0.129656 + 0.991559i \(0.458613\pi\)
\(3\) 0.168894 1.72380i 0.0975109 0.995234i
\(4\) −0.0944028 1.25972i −0.0472014 0.629859i
\(5\) 0.684410 0.858223i 0.306077 0.383809i −0.604875 0.796320i \(-0.706777\pi\)
0.910952 + 0.412511i \(0.135348\pi\)
\(6\) 2.07517 + 2.34167i 0.847183 + 0.955985i
\(7\) 1.06533 + 2.42179i 0.402656 + 0.915351i
\(8\) −1.04054 0.829802i −0.367886 0.293379i
\(9\) −2.94295 0.582277i −0.980983 0.194092i
\(10\) 0.295544 + 1.96080i 0.0934591 + 0.620061i
\(11\) 4.90547 + 1.11964i 1.47906 + 0.337585i 0.884527 0.466489i \(-0.154481\pi\)
0.594529 + 0.804074i \(0.297338\pi\)
\(12\) −2.18744 0.0500273i −0.631460 0.0144416i
\(13\) −2.31554 + 2.49556i −0.642216 + 0.692144i −0.967327 0.253532i \(-0.918408\pi\)
0.325111 + 0.945676i \(0.394598\pi\)
\(14\) −4.51595 1.56492i −1.20694 0.418242i
\(15\) −1.36381 1.32473i −0.352134 0.342044i
\(16\) 4.87563 0.734883i 1.21891 0.183721i
\(17\) 0.0541590 0.722701i 0.0131355 0.175281i −0.986777 0.162081i \(-0.948179\pi\)
0.999913 0.0131994i \(-0.00420164\pi\)
\(18\) 4.38705 3.18167i 1.03404 0.749927i
\(19\) 3.19553 1.84494i 0.733105 0.423258i −0.0864523 0.996256i \(-0.527553\pi\)
0.819557 + 0.572998i \(0.194220\pi\)
\(20\) −1.14573 0.781145i −0.256193 0.174669i
\(21\) 4.35460 1.42738i 0.950253 0.311480i
\(22\) −7.50999 + 5.12022i −1.60113 + 1.09164i
\(23\) 1.87785 3.89939i 0.391558 0.813079i −0.608255 0.793742i \(-0.708130\pi\)
0.999813 0.0193370i \(-0.00615554\pi\)
\(24\) −1.60615 + 1.65353i −0.327854 + 0.337525i
\(25\) 0.844475 + 3.69989i 0.168895 + 0.739977i
\(26\) −0.459573 6.13257i −0.0901296 1.20270i
\(27\) −1.50077 + 4.97470i −0.288824 + 0.957382i
\(28\) 2.95020 1.57064i 0.557536 0.296822i
\(29\) 4.96111 7.27661i 0.921255 1.35123i −0.0149916 0.999888i \(-0.504772\pi\)
0.936246 0.351345i \(-0.114275\pi\)
\(30\) 3.42994 0.178289i 0.626219 0.0325511i
\(31\) 5.05494 2.91847i 0.907894 0.524173i 0.0281408 0.999604i \(-0.491041\pi\)
0.879753 + 0.475431i \(0.157708\pi\)
\(32\) −3.51807 + 5.16007i −0.621913 + 0.912179i
\(33\) 2.75854 8.26694i 0.480200 1.43909i
\(34\) 0.890470 + 0.959698i 0.152714 + 0.164587i
\(35\) 2.80756 + 0.743210i 0.474564 + 0.125625i
\(36\) −0.455682 + 3.76226i −0.0759470 + 0.627043i
\(37\) 8.62235 + 5.87862i 1.41750 + 0.966438i 0.998284 + 0.0585541i \(0.0186490\pi\)
0.419221 + 0.907884i \(0.362303\pi\)
\(38\) −1.48323 + 6.49845i −0.240611 + 1.05419i
\(39\) 3.91076 + 4.41301i 0.626223 + 0.706647i
\(40\) −1.42431 + 0.325090i −0.225203 + 0.0514012i
\(41\) −0.00356075 0.00907264i −0.000556096 0.00141691i 0.930595 0.366049i \(-0.119290\pi\)
−0.931152 + 0.364632i \(0.881195\pi\)
\(42\) −3.46032 + 7.52027i −0.533939 + 1.16040i
\(43\) −1.60697 + 4.09449i −0.245061 + 0.624404i −0.999489 0.0319785i \(-0.989819\pi\)
0.754428 + 0.656383i \(0.227914\pi\)
\(44\) 0.947343 6.28521i 0.142817 0.947531i
\(45\) −2.51391 + 2.12719i −0.374751 + 0.317103i
\(46\) 2.85634 + 7.27784i 0.421145 + 1.07306i
\(47\) 0.570535 + 0.529379i 0.0832211 + 0.0772179i 0.720687 0.693261i \(-0.243827\pi\)
−0.637466 + 0.770479i \(0.720017\pi\)
\(48\) −0.443325 8.52871i −0.0639884 1.23101i
\(49\) −4.73015 + 5.16000i −0.675736 + 0.737143i
\(50\) −5.93706 3.42777i −0.839628 0.484759i
\(51\) −1.23664 0.215419i −0.173165 0.0301647i
\(52\) 3.36230 + 2.68134i 0.466267 + 0.371835i
\(53\) −0.0965396 0.141598i −0.0132607 0.0194499i 0.819551 0.573006i \(-0.194223\pi\)
−0.832812 + 0.553556i \(0.813270\pi\)
\(54\) −4.74360 8.09975i −0.645523 1.10224i
\(55\) 4.31826 3.44370i 0.582274 0.464348i
\(56\) 0.901093 3.40398i 0.120414 0.454876i
\(57\) −2.64060 5.82004i −0.349755 0.770883i
\(58\) 3.54013 + 15.5103i 0.464842 + 2.03661i
\(59\) 1.11361 2.83744i 0.144980 0.369403i −0.839876 0.542779i \(-0.817372\pi\)
0.984856 + 0.173376i \(0.0554675\pi\)
\(60\) −1.54004 + 1.84307i −0.198818 + 0.237940i
\(61\) −13.4782 1.01005i −1.72571 0.129324i −0.825393 0.564559i \(-0.809046\pi\)
−0.900317 + 0.435235i \(0.856665\pi\)
\(62\) −2.34629 + 10.2798i −0.297979 + 1.30553i
\(63\) −1.72505 7.74753i −0.217336 0.976097i
\(64\) −0.316048 1.38470i −0.0395061 0.173087i
\(65\) 0.556967 + 3.69524i 0.0690833 + 0.458338i
\(66\) 7.55783 + 13.8105i 0.930305 + 1.69995i
\(67\) 2.96470 + 5.13501i 0.362196 + 0.627342i 0.988322 0.152380i \(-0.0486938\pi\)
−0.626126 + 0.779722i \(0.715360\pi\)
\(68\) −0.915512 −0.111022
\(69\) −6.40460 3.89561i −0.771023 0.468976i
\(70\) −4.43381 + 2.80464i −0.529941 + 0.335219i
\(71\) −4.66884 + 9.69494i −0.554089 + 1.15058i 0.416344 + 0.909207i \(0.363311\pi\)
−0.970433 + 0.241371i \(0.922403\pi\)
\(72\) 2.57908 + 3.04795i 0.303947 + 0.359204i
\(73\) 3.82640 12.4049i 0.447846 1.45188i −0.397471 0.917615i \(-0.630112\pi\)
0.845317 0.534266i \(-0.179412\pi\)
\(74\) −18.3788 + 4.19485i −2.13649 + 0.487641i
\(75\) 6.52048 0.830815i 0.752920 0.0959343i
\(76\) −2.62577 3.85130i −0.301196 0.441774i
\(77\) 2.51440 + 13.0728i 0.286542 + 1.48979i
\(78\) −10.6489 0.243543i −1.20575 0.0275759i
\(79\) 3.99090 6.91244i 0.449011 0.777711i −0.549311 0.835618i \(-0.685110\pi\)
0.998322 + 0.0579077i \(0.0184429\pi\)
\(80\) 2.70623 4.68734i 0.302566 0.524060i
\(81\) 8.32191 + 3.42722i 0.924656 + 0.380803i
\(82\) 0.0163892 + 0.00643231i 0.00180989 + 0.000710329i
\(83\) −7.60930 + 7.06040i −0.835229 + 0.774979i −0.976620 0.214975i \(-0.931033\pi\)
0.141391 + 0.989954i \(0.454843\pi\)
\(84\) −2.20919 5.35082i −0.241042 0.583823i
\(85\) −0.583172 0.541104i −0.0632539 0.0586910i
\(86\) −3.44753 7.15887i −0.371757 0.771961i
\(87\) −11.7055 9.78092i −1.25496 1.04862i
\(88\) −4.17526 5.23561i −0.445084 0.558117i
\(89\) 5.96604 5.53567i 0.632399 0.586780i −0.297443 0.954739i \(-0.596134\pi\)
0.929842 + 0.367959i \(0.119943\pi\)
\(90\) 0.271961 5.94264i 0.0286672 0.626409i
\(91\) −8.51054 2.94917i −0.892147 0.309157i
\(92\) −5.08940 1.99744i −0.530607 0.208248i
\(93\) −4.17710 9.20660i −0.433145 0.954680i
\(94\) −1.40203 + 0.105068i −0.144608 + 0.0108369i
\(95\) 0.603682 4.00517i 0.0619365 0.410922i
\(96\) 8.30072 + 6.93595i 0.847189 + 0.707897i
\(97\) 11.6417 6.72135i 1.18204 0.682449i 0.225552 0.974231i \(-0.427581\pi\)
0.956485 + 0.291782i \(0.0942480\pi\)
\(98\) −1.02106 12.6038i −0.103142 1.27318i
\(99\) −13.7846 6.15140i −1.38541 0.618239i
\(100\) 4.58109 1.41308i 0.458109 0.141308i
\(101\) −4.62001 + 5.79331i −0.459708 + 0.576456i −0.956618 0.291347i \(-0.905897\pi\)
0.496909 + 0.867802i \(0.334468\pi\)
\(102\) 1.80472 1.37290i 0.178694 0.135938i
\(103\) −4.59427 3.66381i −0.452687 0.361006i 0.370446 0.928854i \(-0.379205\pi\)
−0.823133 + 0.567848i \(0.807776\pi\)
\(104\) 4.48023 0.675287i 0.439323 0.0662173i
\(105\) 1.75532 4.71414i 0.171302 0.460053i
\(106\) 0.306124 + 0.0461408i 0.0297334 + 0.00448159i
\(107\) −7.04381 7.59142i −0.680950 0.733890i 0.294124 0.955767i \(-0.404972\pi\)
−0.975075 + 0.221877i \(0.928782\pi\)
\(108\) 6.40840 + 1.42093i 0.616649 + 0.136729i
\(109\) −3.51943 3.26555i −0.337100 0.312783i 0.493399 0.869803i \(-0.335754\pi\)
−0.830499 + 0.557020i \(0.811945\pi\)
\(110\) −0.745618 + 9.94958i −0.0710919 + 0.948655i
\(111\) 11.5898 13.8703i 1.10006 1.31651i
\(112\) 6.97387 + 11.0249i 0.658969 + 1.04175i
\(113\) −1.83348 + 5.94398i −0.172479 + 0.559163i −0.999997 0.00227551i \(-0.999276\pi\)
0.827518 + 0.561438i \(0.189752\pi\)
\(114\) 10.9515 + 3.65433i 1.02570 + 0.342260i
\(115\) −2.06133 4.28039i −0.192220 0.399149i
\(116\) −9.63482 5.56266i −0.894570 0.516480i
\(117\) 8.26763 5.99602i 0.764343 0.554332i
\(118\) 2.38910 + 4.96102i 0.219934 + 0.456699i
\(119\) 1.80793 0.638752i 0.165733 0.0585543i
\(120\) 0.319831 + 2.51013i 0.0291965 + 0.229142i
\(121\) 12.8994 + 6.21203i 1.17267 + 0.564730i
\(122\) 17.8982 16.6071i 1.62042 1.50353i
\(123\) −0.0162408 + 0.00460570i −0.00146438 + 0.000415282i
\(124\) −4.15365 6.09228i −0.373009 0.547103i
\(125\) 8.69830 + 4.18888i 0.778000 + 0.374665i
\(126\) 12.3790 + 7.23501i 1.10281 + 0.644546i
\(127\) −6.50542 + 3.13285i −0.577263 + 0.277995i −0.699648 0.714487i \(-0.746660\pi\)
0.122385 + 0.992483i \(0.460946\pi\)
\(128\) −8.59511 4.96239i −0.759708 0.438618i
\(129\) 6.78667 + 3.46162i 0.597533 + 0.304779i
\(130\) −5.57765 3.80278i −0.489192 0.333526i
\(131\) −12.9740 16.2688i −1.13354 1.42142i −0.892585 0.450880i \(-0.851110\pi\)
−0.240956 0.970536i \(-0.577461\pi\)
\(132\) −10.6744 2.69456i −0.929089 0.234531i
\(133\) 7.87234 + 5.77344i 0.682619 + 0.500621i
\(134\) −10.4426 2.38345i −0.902103 0.205899i
\(135\) 3.24226 + 4.69274i 0.279049 + 0.403886i
\(136\) −0.656053 + 0.707057i −0.0562561 + 0.0606297i
\(137\) −12.4377 + 9.91872i −1.06262 + 0.847413i −0.988709 0.149851i \(-0.952121\pi\)
−0.0739142 + 0.997265i \(0.523549\pi\)
\(138\) 13.0279 3.69457i 1.10901 0.314503i
\(139\) −7.68111 + 3.01461i −0.651503 + 0.255696i −0.667993 0.744168i \(-0.732846\pi\)
0.0164893 + 0.999864i \(0.494751\pi\)
\(140\) 0.671194 3.60689i 0.0567262 0.304838i
\(141\) 1.00890 0.894078i 0.0849649 0.0752949i
\(142\) −7.10165 18.0947i −0.595957 1.51847i
\(143\) −14.1530 + 9.64933i −1.18353 + 0.806917i
\(144\) −14.7766 0.676244i −1.23139 0.0563537i
\(145\) −2.84952 9.23792i −0.236640 0.767168i
\(146\) 11.7253 + 20.3088i 0.970392 + 1.68077i
\(147\) 8.09590 + 9.02532i 0.667739 + 0.744396i
\(148\) 6.59142 11.4167i 0.541812 0.938445i
\(149\) 6.68425 + 1.52564i 0.547595 + 0.124985i 0.487363 0.873200i \(-0.337959\pi\)
0.0602318 + 0.998184i \(0.480816\pi\)
\(150\) −6.91150 + 9.65536i −0.564322 + 0.788357i
\(151\) −20.2450 9.74946i −1.64751 0.793400i −0.999495 0.0317732i \(-0.989885\pi\)
−0.648016 0.761627i \(-0.724401\pi\)
\(152\) −4.85601 0.731925i −0.393874 0.0593670i
\(153\) −0.580199 + 2.09534i −0.0469063 + 0.169398i
\(154\) −20.4007 12.7329i −1.64394 1.02605i
\(155\) 0.954952 6.33569i 0.0767036 0.508895i
\(156\) 5.18996 5.34305i 0.415529 0.427787i
\(157\) −7.65100 3.00280i −0.610616 0.239649i 0.0398240 0.999207i \(-0.487320\pi\)
−0.650440 + 0.759558i \(0.725416\pi\)
\(158\) 4.24999 + 13.7781i 0.338111 + 1.09613i
\(159\) −0.260390 + 0.142500i −0.0206503 + 0.0113010i
\(160\) 2.02068 + 6.55089i 0.159749 + 0.517893i
\(161\) 11.4440 + 0.393628i 0.901916 + 0.0310222i
\(162\) −14.7635 + 6.80901i −1.15993 + 0.534966i
\(163\) −1.61238 + 4.10826i −0.126291 + 0.321784i −0.980010 0.198951i \(-0.936247\pi\)
0.853719 + 0.520735i \(0.174342\pi\)
\(164\) −0.0110928 + 0.00534202i −0.000866204 + 0.000417142i
\(165\) −5.20690 8.02542i −0.405357 0.624778i
\(166\) 18.7515i 1.45540i
\(167\) −1.44323 + 19.2585i −0.111680 + 1.49027i 0.606874 + 0.794798i \(0.292423\pi\)
−0.718555 + 0.695471i \(0.755196\pi\)
\(168\) −5.71558 2.12821i −0.440967 0.164195i
\(169\) 0.105403 + 1.40650i 0.00810789 + 0.108192i
\(170\) 1.43308 0.107395i 0.109912 0.00823679i
\(171\) −10.4785 + 3.56888i −0.801314 + 0.272919i
\(172\) 5.30961 + 1.63780i 0.404854 + 0.124881i
\(173\) −7.58041 + 5.16824i −0.576328 + 0.392934i −0.816113 0.577892i \(-0.803875\pi\)
0.239785 + 0.970826i \(0.422923\pi\)
\(174\) 27.3346 3.48287i 2.07223 0.264036i
\(175\) −8.06071 + 5.98673i −0.609333 + 0.452555i
\(176\) 24.7401 + 1.85401i 1.86485 + 0.139751i
\(177\) −4.70309 2.39887i −0.353506 0.180310i
\(178\) 14.7020i 1.10196i
\(179\) 4.56753 + 0.342289i 0.341393 + 0.0255839i 0.244324 0.969694i \(-0.421434\pi\)
0.0970693 + 0.995278i \(0.469053\pi\)
\(180\) 2.91698 + 2.96600i 0.217419 + 0.221073i
\(181\) 3.31405 0.756411i 0.246331 0.0562236i −0.0975723 0.995228i \(-0.531108\pi\)
0.343904 + 0.939005i \(0.388251\pi\)
\(182\) 14.3622 7.64619i 1.06460 0.566773i
\(183\) −4.01752 + 23.0631i −0.296983 + 1.70488i
\(184\) −5.18969 + 2.49922i −0.382589 + 0.184245i
\(185\) 10.9464 3.37651i 0.804794 0.248246i
\(186\) 17.3239 + 5.78071i 1.27025 + 0.423862i
\(187\) 1.07484 3.48455i 0.0786002 0.254816i
\(188\) 0.613009 0.768688i 0.0447082 0.0560624i
\(189\) −13.6465 + 1.66513i −0.992638 + 0.121120i
\(190\) 4.56198 + 5.72054i 0.330961 + 0.415012i
\(191\) −2.66473 + 1.04583i −0.192813 + 0.0756735i −0.459783 0.888031i \(-0.652073\pi\)
0.266970 + 0.963705i \(0.413978\pi\)
\(192\) −2.44032 + 0.310936i −0.176115 + 0.0224399i
\(193\) 3.04161 + 0.458449i 0.218940 + 0.0329999i 0.257596 0.966253i \(-0.417070\pi\)
−0.0386561 + 0.999253i \(0.512308\pi\)
\(194\) −5.40359 + 23.6747i −0.387955 + 1.69974i
\(195\) 6.46391 0.335996i 0.462890 0.0240612i
\(196\) 6.94669 + 5.47154i 0.496192 + 0.390824i
\(197\) 1.58203i 0.112715i −0.998411 0.0563574i \(-0.982051\pi\)
0.998411 0.0563574i \(-0.0179486\pi\)
\(198\) 25.0829 10.6957i 1.78256 0.760108i
\(199\) −19.6577 + 7.71507i −1.39350 + 0.546907i −0.939023 0.343854i \(-0.888268\pi\)
−0.454473 + 0.890761i \(0.650172\pi\)
\(200\) 2.19146 4.55062i 0.154960 0.321778i
\(201\) 9.35244 4.24327i 0.659670 0.299297i
\(202\) −1.99502 13.2361i −0.140369 0.931290i
\(203\) 22.9076 + 4.26280i 1.60780 + 0.299190i
\(204\) −0.154624 + 1.57816i −0.0108259 + 0.110493i
\(205\) −0.0102234 0.00315349i −0.000714031 0.000220249i
\(206\) 10.4966 1.58212i 0.731336 0.110231i
\(207\) −7.79693 + 10.3823i −0.541924 + 0.721618i
\(208\) −9.45578 + 13.8691i −0.655640 + 0.961647i
\(209\) 17.7413 5.47245i 1.22719 0.378537i
\(210\) 4.08579 + 8.11667i 0.281946 + 0.560104i
\(211\) 26.8495 + 8.28198i 1.84840 + 0.570155i 0.999108 + 0.0422273i \(0.0134453\pi\)
0.849289 + 0.527928i \(0.177031\pi\)
\(212\) −0.169259 + 0.134980i −0.0116248 + 0.00927045i
\(213\) 15.9236 + 9.68554i 1.09107 + 0.663642i
\(214\) 18.7074 1.27881
\(215\) 2.41416 + 4.18145i 0.164644 + 0.285173i
\(216\) 5.68963 3.93103i 0.387131 0.267473i
\(217\) 12.4531 + 9.13288i 0.845371 + 0.619980i
\(218\) 8.64862 0.648124i 0.585758 0.0438965i
\(219\) −20.7372 8.69103i −1.40129 0.587286i
\(220\) −4.74574 5.11469i −0.319958 0.344833i
\(221\) 1.67814 + 1.80860i 0.112884 + 0.121660i
\(222\) 4.12699 + 32.3898i 0.276986 + 2.17386i
\(223\) −9.32486 + 0.698802i −0.624439 + 0.0467952i −0.383192 0.923669i \(-0.625175\pi\)
−0.241247 + 0.970464i \(0.577556\pi\)
\(224\) −16.2445 3.02288i −1.08538 0.201975i
\(225\) −0.330888 11.3803i −0.0220592 0.758687i
\(226\) −5.61835 9.73127i −0.373727 0.647315i
\(227\) −26.3674 −1.75007 −0.875033 0.484063i \(-0.839161\pi\)
−0.875033 + 0.484063i \(0.839161\pi\)
\(228\) −7.08233 + 3.87583i −0.469039 + 0.256683i
\(229\) −8.72495 + 6.95792i −0.576561 + 0.459792i −0.867838 0.496847i \(-0.834491\pi\)
0.291277 + 0.956639i \(0.405920\pi\)
\(230\) 8.20092 + 2.52965i 0.540753 + 0.166800i
\(231\) 22.9596 2.12639i 1.51063 0.139906i
\(232\) −11.2004 + 3.45486i −0.735340 + 0.226822i
\(233\) 3.15966 4.63437i 0.206996 0.303608i −0.708676 0.705535i \(-0.750707\pi\)
0.915672 + 0.401927i \(0.131659\pi\)
\(234\) −2.21836 + 18.3154i −0.145019 + 1.19732i
\(235\) 0.844806 0.127334i 0.0551090 0.00830635i
\(236\) −3.67950 1.13498i −0.239515 0.0738806i
\(237\) −11.2416 8.04697i −0.730221 0.522707i
\(238\) −1.37555 + 3.17893i −0.0891635 + 0.206059i
\(239\) −1.51363 10.0423i −0.0979084 0.649580i −0.982923 0.184017i \(-0.941090\pi\)
0.885015 0.465563i \(-0.154148\pi\)
\(240\) −7.62295 5.45666i −0.492059 0.352226i
\(241\) 11.0449 22.9349i 0.711464 1.47737i −0.160107 0.987100i \(-0.551184\pi\)
0.871571 0.490270i \(-0.163102\pi\)
\(242\) −24.0756 + 9.44896i −1.54764 + 0.607402i
\(243\) 7.31336 13.7664i 0.469152 0.883117i
\(244\) 17.0741i 1.09306i
\(245\) 1.19107 + 7.59109i 0.0760946 + 0.484977i
\(246\) 0.0138560 0.0271654i 0.000883428 0.00173200i
\(247\) −2.79522 + 12.2467i −0.177856 + 0.779237i
\(248\) −7.68161 1.15782i −0.487783 0.0735214i
\(249\) 10.8855 + 14.3093i 0.689842 + 0.906817i
\(250\) −16.2346 + 6.37160i −1.02676 + 0.402975i
\(251\) −4.56818 5.72832i −0.288341 0.361568i 0.616472 0.787377i \(-0.288561\pi\)
−0.904813 + 0.425808i \(0.859990\pi\)
\(252\) −9.59685 + 2.90447i −0.604545 + 0.182964i
\(253\) 13.5776 17.0258i 0.853619 1.07040i
\(254\) 3.84461 12.4639i 0.241232 0.782056i
\(255\) −1.03125 + 0.913880i −0.0645792 + 0.0572294i
\(256\) 19.8465 6.12183i 1.24041 0.382615i
\(257\) 14.2054 6.84098i 0.886111 0.426729i 0.0652582 0.997868i \(-0.479213\pi\)
0.820853 + 0.571140i \(0.193499\pi\)
\(258\) −12.9227 + 4.73375i −0.804532 + 0.294710i
\(259\) −5.05116 + 27.1442i −0.313864 + 1.68666i
\(260\) 4.60238 1.05046i 0.285427 0.0651469i
\(261\) −18.8373 + 18.5260i −1.16600 + 1.14673i
\(262\) 37.4846 + 2.80908i 2.31581 + 0.173546i
\(263\) 4.93877i 0.304537i −0.988339 0.152269i \(-0.951342\pi\)
0.988339 0.152269i \(-0.0486579\pi\)
\(264\) −9.73029 + 6.31303i −0.598858 + 0.388540i
\(265\) −0.187595 0.0140583i −0.0115239 0.000863594i
\(266\) −17.3180 + 3.33091i −1.06184 + 0.204231i
\(267\) −8.53475 11.2192i −0.522318 0.686602i
\(268\) 6.18879 4.21945i 0.378041 0.257744i
\(269\) 16.2487 + 5.01207i 0.990702 + 0.305591i 0.747411 0.664362i \(-0.231297\pi\)
0.243292 + 0.969953i \(0.421773\pi\)
\(270\) −10.1980 1.47248i −0.620628 0.0896123i
\(271\) 21.6082 1.61931i 1.31260 0.0983660i 0.600038 0.799972i \(-0.295152\pi\)
0.712566 + 0.701605i \(0.247533\pi\)
\(272\) −0.267042 3.56342i −0.0161918 0.216064i
\(273\) −6.52115 + 14.1723i −0.394678 + 0.857749i
\(274\) 2.14757 28.6573i 0.129739 1.73125i
\(275\) 19.0952i 1.15148i
\(276\) −4.30276 + 8.43574i −0.258995 + 0.507772i
\(277\) −7.66854 + 3.69298i −0.460758 + 0.221889i −0.649839 0.760072i \(-0.725164\pi\)
0.189081 + 0.981962i \(0.439449\pi\)
\(278\) 5.44574 13.8755i 0.326614 0.832198i
\(279\) −16.5758 + 5.64554i −0.992366 + 0.337989i
\(280\) −2.30466 3.10306i −0.137730 0.185443i
\(281\) 1.29864 + 4.21009i 0.0774704 + 0.251153i 0.986021 0.166622i \(-0.0532861\pi\)
−0.908550 + 0.417775i \(0.862810\pi\)
\(282\) −0.0556789 + 2.43456i −0.00331563 + 0.144976i
\(283\) 1.02783 + 3.33214i 0.0610981 + 0.198075i 0.980976 0.194130i \(-0.0621884\pi\)
−0.919878 + 0.392205i \(0.871712\pi\)
\(284\) 12.6536 + 4.96619i 0.750856 + 0.294689i
\(285\) −6.80214 1.71707i −0.402924 0.101711i
\(286\) 4.61186 30.5977i 0.272705 1.80928i
\(287\) 0.0181787 0.0182887i 0.00107305 0.00107955i
\(288\) 13.3581 13.1373i 0.787134 0.774124i
\(289\) 16.2908 + 2.45544i 0.958280 + 0.144437i
\(290\) 15.7342 + 7.57720i 0.923946 + 0.444949i
\(291\) −9.62002 21.2031i −0.563936 1.24295i
\(292\) −15.9879 3.64912i −0.935619 0.213549i
\(293\) 3.55782 6.16233i 0.207850 0.360007i −0.743187 0.669084i \(-0.766687\pi\)
0.951037 + 0.309077i \(0.100020\pi\)
\(294\) −21.8989 0.368618i −1.27717 0.0214982i
\(295\) −1.67299 2.89770i −0.0974051 0.168711i
\(296\) −4.09380 13.2718i −0.237947 0.771406i
\(297\) −12.9319 + 22.7230i −0.750385 + 1.31852i
\(298\) −10.2332 + 6.97686i −0.592792 + 0.404159i
\(299\) 5.38293 + 13.7155i 0.311303 + 0.793187i
\(300\) −1.66214 8.13553i −0.0959639 0.469705i
\(301\) −11.6280 + 0.470229i −0.670225 + 0.0271036i
\(302\) 37.7853 14.8296i 2.17430 0.853350i
\(303\) 9.20619 + 8.94241i 0.528882 + 0.513728i
\(304\) 14.2244 11.3436i 0.815825 0.650599i
\(305\) −10.0915 + 10.8760i −0.577837 + 0.622760i
\(306\) −2.06180 3.34284i −0.117865 0.191098i
\(307\) 18.2592 + 4.16754i 1.04211 + 0.237854i 0.709128 0.705080i \(-0.249089\pi\)
0.332980 + 0.942934i \(0.391946\pi\)
\(308\) 16.2307 4.40154i 0.924830 0.250801i
\(309\) −7.09161 + 7.30079i −0.403427 + 0.415328i
\(310\) 7.21650 + 9.04921i 0.409870 + 0.513960i
\(311\) 0.853120 + 0.581647i 0.0483760 + 0.0329822i 0.587267 0.809394i \(-0.300204\pi\)
−0.538891 + 0.842376i \(0.681156\pi\)
\(312\) −0.407373 7.83706i −0.0230630 0.443686i
\(313\) 2.65494 + 1.53283i 0.150066 + 0.0866407i 0.573153 0.819448i \(-0.305720\pi\)
−0.423087 + 0.906089i \(0.639053\pi\)
\(314\) 13.3771 6.44208i 0.754914 0.363547i
\(315\) −7.82975 3.82201i −0.441156 0.215346i
\(316\) −9.08448 4.37486i −0.511042 0.246105i
\(317\) −15.9926 23.4568i −0.898232 1.31747i −0.947857 0.318697i \(-0.896755\pi\)
0.0496241 0.998768i \(-0.484198\pi\)
\(318\) 0.131240 0.519902i 0.00735956 0.0291547i
\(319\) 32.4838 30.1406i 1.81874 1.68755i
\(320\) −1.40469 0.676462i −0.0785244 0.0378154i
\(321\) −14.2757 + 10.8599i −0.796793 + 0.606143i
\(322\) −14.5825 + 14.6708i −0.812650 + 0.817569i
\(323\) −1.16027 2.40933i −0.0645593 0.134059i
\(324\) 3.53173 10.8068i 0.196207 0.600377i
\(325\) −11.1887 6.45980i −0.620638 0.358325i
\(326\) −3.45912 7.18295i −0.191583 0.397827i
\(327\) −6.22356 + 5.51525i −0.344164 + 0.304994i
\(328\) −0.00382340 + 0.0123952i −0.000211112 + 0.000684408i
\(329\) −0.674240 + 1.94568i −0.0371720 + 0.107269i
\(330\) 17.0251 + 2.96572i 0.937202 + 0.163257i
\(331\) 0.0528068 0.704657i 0.00290252 0.0387315i −0.995564 0.0940817i \(-0.970008\pi\)
0.998467 + 0.0553503i \(0.0176275\pi\)
\(332\) 9.61245 + 8.91905i 0.527551 + 0.489496i
\(333\) −21.9521 22.3211i −1.20297 1.22319i
\(334\) −23.7292 25.5740i −1.29840 1.39935i
\(335\) 6.43606 + 0.970079i 0.351639 + 0.0530011i
\(336\) 20.1825 10.1595i 1.10104 0.554247i
\(337\) 1.00165 0.150975i 0.0545635 0.00822412i −0.121704 0.992566i \(-0.538836\pi\)
0.176267 + 0.984342i \(0.443598\pi\)
\(338\) −1.99202 1.58858i −0.108352 0.0864076i
\(339\) 9.93656 + 4.16444i 0.539680 + 0.226181i
\(340\) −0.626586 + 0.785714i −0.0339814 + 0.0426113i
\(341\) 28.0645 8.65676i 1.51978 0.468790i
\(342\) 8.14897 18.2610i 0.440646 0.987440i
\(343\) −17.5356 5.95836i −0.946835 0.321721i
\(344\) 5.06973 2.92701i 0.273342 0.157814i
\(345\) −7.72667 + 2.83038i −0.415990 + 0.152382i
\(346\) 2.47014 16.3883i 0.132796 0.881042i
\(347\) −30.4702 + 2.28343i −1.63573 + 0.122581i −0.860620 0.509248i \(-0.829924\pi\)
−0.775108 + 0.631829i \(0.782305\pi\)
\(348\) −11.2162 + 15.6690i −0.601249 + 0.839945i
\(349\) −6.91499 2.71393i −0.370151 0.145273i 0.172972 0.984927i \(-0.444663\pi\)
−0.543123 + 0.839653i \(0.682758\pi\)
\(350\) 1.97642 18.0300i 0.105644 0.963746i
\(351\) −8.93957 15.2644i −0.477159 0.814754i
\(352\) −23.0352 + 21.3736i −1.22778 + 1.13922i
\(353\) 7.04368 + 8.83250i 0.374897 + 0.470106i 0.933110 0.359592i \(-0.117084\pi\)
−0.558212 + 0.829698i \(0.688513\pi\)
\(354\) 8.95529 3.28044i 0.475968 0.174353i
\(355\) 5.12502 + 10.6422i 0.272008 + 0.564830i
\(356\) −7.53660 6.99294i −0.399439 0.370625i
\(357\) −0.795730 3.22438i −0.0421145 0.170652i
\(358\) −6.06537 + 5.62784i −0.320565 + 0.297440i
\(359\) −22.2001 8.71289i −1.17168 0.459849i −0.301921 0.953333i \(-0.597628\pi\)
−0.869755 + 0.493484i \(0.835723\pi\)
\(360\) 4.38097 0.127379i 0.230897 0.00671345i
\(361\) −2.69240 + 4.66337i −0.141705 + 0.245441i
\(362\) −3.07031 + 5.31793i −0.161372 + 0.279504i
\(363\) 12.8869 21.1868i 0.676388 1.11202i
\(364\) −2.91171 + 10.9993i −0.152615 + 0.576519i
\(365\) −8.02732 11.7739i −0.420169 0.616275i
\(366\) −25.6043 33.6576i −1.33836 1.75931i
\(367\) −0.233354 + 0.0532616i −0.0121810 + 0.00278023i −0.228607 0.973519i \(-0.573417\pi\)
0.216426 + 0.976299i \(0.430560\pi\)
\(368\) 6.29009 20.3920i 0.327893 1.06300i
\(369\) 0.00519632 + 0.0287737i 0.000270509 + 0.00149790i
\(370\) −8.97853 + 18.6441i −0.466772 + 0.969261i
\(371\) 0.240073 0.384646i 0.0124640 0.0199698i
\(372\) −11.2034 + 6.13110i −0.580868 + 0.317883i
\(373\) −5.88018 −0.304464 −0.152232 0.988345i \(-0.548646\pi\)
−0.152232 + 0.988345i \(0.548646\pi\)
\(374\) 3.29366 + 5.70478i 0.170311 + 0.294987i
\(375\) 8.68987 14.2866i 0.448743 0.737758i
\(376\) −0.154384 1.02427i −0.00796175 0.0528228i
\(377\) 6.67157 + 29.2300i 0.343603 + 1.50542i
\(378\) 14.5624 20.1169i 0.749010 1.03470i
\(379\) 4.31094 18.8875i 0.221438 0.970184i −0.734958 0.678112i \(-0.762798\pi\)
0.956396 0.292072i \(-0.0943445\pi\)
\(380\) −5.10237 0.382370i −0.261746 0.0196152i
\(381\) 4.30167 + 11.7431i 0.220381 + 0.601620i
\(382\) 1.88923 4.81369i 0.0966616 0.246290i
\(383\) 1.48194 + 6.49281i 0.0757237 + 0.331767i 0.998574 0.0533926i \(-0.0170035\pi\)
−0.922850 + 0.385160i \(0.874146\pi\)
\(384\) −10.0058 + 13.9781i −0.510607 + 0.713317i
\(385\) 12.9403 + 6.78926i 0.659498 + 0.346013i
\(386\) −4.34431 + 3.46447i −0.221119 + 0.176337i
\(387\) 7.11336 11.1142i 0.361593 0.564966i
\(388\) −9.56601 14.0308i −0.485641 0.712304i
\(389\) −0.622285 0.496255i −0.0315511 0.0251611i 0.607587 0.794253i \(-0.292137\pi\)
−0.639138 + 0.769092i \(0.720709\pi\)
\(390\) −7.49724 + 8.97247i −0.379638 + 0.454339i
\(391\) −2.71639 1.56831i −0.137374 0.0793128i
\(392\) 9.20369 1.44409i 0.464857 0.0729377i
\(393\) −30.2354 + 19.6168i −1.52517 + 0.989536i
\(394\) 2.09495 + 1.94383i 0.105542 + 0.0979289i
\(395\) −3.20101 8.15603i −0.161060 0.410374i
\(396\) −6.44772 + 17.9454i −0.324010 + 0.901793i
\(397\) 3.60757 23.9347i 0.181059 1.20125i −0.694988 0.719021i \(-0.744591\pi\)
0.876047 0.482225i \(-0.160171\pi\)
\(398\) 13.9369 35.5106i 0.698592 1.77998i
\(399\) 11.2818 12.5952i 0.564798 0.630550i
\(400\) 6.83633 + 17.4187i 0.341816 + 0.870934i
\(401\) −17.8168 + 4.06658i −0.889730 + 0.203075i −0.642869 0.765976i \(-0.722256\pi\)
−0.246861 + 0.969051i \(0.579399\pi\)
\(402\) −5.87228 + 17.5984i −0.292883 + 0.877727i
\(403\) −4.42170 + 19.3727i −0.220261 + 0.965025i
\(404\) 7.73408 + 5.27300i 0.384785 + 0.262342i
\(405\) 8.63692 4.79642i 0.429172 0.238336i
\(406\) −33.7914 + 25.0971i −1.67704 + 1.24555i
\(407\) 35.7147 + 38.4913i 1.77031 + 1.90795i
\(408\) 1.10802 + 1.25032i 0.0548552 + 0.0619001i
\(409\) 18.0595 26.4884i 0.892983 1.30977i −0.0572930 0.998357i \(-0.518247\pi\)
0.950276 0.311408i \(-0.100801\pi\)
\(410\) 0.0167373 0.00966329i 0.000826597 0.000477236i
\(411\) 14.9972 + 23.1152i 0.739758 + 1.14019i
\(412\) −4.18165 + 6.13336i −0.206015 + 0.302169i
\(413\) 8.05805 0.325864i 0.396511 0.0160347i
\(414\) −4.16835 23.0815i −0.204863 1.13439i
\(415\) 0.851515 + 11.3627i 0.0417992 + 0.557772i
\(416\) −4.73101 20.7279i −0.231957 1.01627i
\(417\) 3.89929 + 13.7498i 0.190949 + 0.673332i
\(418\) −14.5519 + 30.2173i −0.711756 + 1.47798i
\(419\) −19.6074 + 13.3681i −0.957885 + 0.653075i −0.937966 0.346726i \(-0.887293\pi\)
−0.0199190 + 0.999802i \(0.506341\pi\)
\(420\) −6.10419 1.76618i −0.297854 0.0861809i
\(421\) 24.0072 + 16.3678i 1.17004 + 0.797719i 0.982814 0.184598i \(-0.0590985\pi\)
0.187224 + 0.982317i \(0.440051\pi\)
\(422\) −43.9571 + 25.3786i −2.13980 + 1.23541i
\(423\) −1.37081 1.89015i −0.0666511 0.0919021i
\(424\) −0.0170448 + 0.227446i −0.000827767 + 0.0110458i
\(425\) 2.71965 0.409921i 0.131922 0.0198841i
\(426\) −32.3910 + 9.18571i −1.56935 + 0.445049i
\(427\) −11.9126 33.7175i −0.576490 1.63170i
\(428\) −8.89809 + 9.58986i −0.430105 + 0.463543i
\(429\) 14.2431 + 26.0265i 0.687665 + 1.25657i
\(430\) −8.50343 1.94085i −0.410072 0.0935962i
\(431\) 0.199880 + 1.32612i 0.00962787 + 0.0638767i 0.993129 0.117026i \(-0.0373361\pi\)
−0.983501 + 0.180903i \(0.942098\pi\)
\(432\) −3.66139 + 25.3577i −0.176159 + 1.22002i
\(433\) 1.61857 + 1.29077i 0.0777835 + 0.0620303i 0.661610 0.749848i \(-0.269874\pi\)
−0.583826 + 0.811879i \(0.698445\pi\)
\(434\) −27.3950 + 5.26909i −1.31500 + 0.252924i
\(435\) −16.4056 + 3.35177i −0.786587 + 0.160705i
\(436\) −3.78143 + 4.74177i −0.181098 + 0.227089i
\(437\) −1.19342 15.9251i −0.0570892 0.761802i
\(438\) 36.9886 16.7820i 1.76738 0.801874i
\(439\) 2.88294 3.10707i 0.137595 0.148292i −0.660495 0.750831i \(-0.729653\pi\)
0.798090 + 0.602538i \(0.205844\pi\)
\(440\) −7.35090 −0.350441
\(441\) 16.9252 12.4314i 0.805960 0.591970i
\(442\) −4.45690 −0.211993
\(443\) 21.0513 22.6879i 1.00018 1.07793i 0.00321791 0.999995i \(-0.498976\pi\)
0.996958 0.0779386i \(-0.0248338\pi\)
\(444\) −18.5668 13.2905i −0.881141 0.630738i
\(445\) −0.667627 8.90886i −0.0316485 0.422320i
\(446\) 10.5320 13.2068i 0.498707 0.625359i
\(447\) 3.75881 11.2646i 0.177786 0.532798i
\(448\) 3.01676 2.24056i 0.142528 0.105857i
\(449\) 23.7824 + 18.9658i 1.12236 + 0.895051i 0.995300 0.0968439i \(-0.0308748\pi\)
0.127059 + 0.991895i \(0.459446\pi\)
\(450\) 15.4766 + 13.5448i 0.729573 + 0.638506i
\(451\) −0.00730905 0.0484924i −0.000344170 0.00228342i
\(452\) 7.66083 + 1.74853i 0.360335 + 0.0822441i
\(453\) −20.2253 + 33.2516i −0.950269 + 1.56229i
\(454\) 32.3975 34.9162i 1.52049 1.63870i
\(455\) −8.35574 + 5.28550i −0.391723 + 0.247788i
\(456\) −2.08184 + 8.24715i −0.0974911 + 0.386208i
\(457\) 16.0644 2.42132i 0.751461 0.113265i 0.237867 0.971298i \(-0.423552\pi\)
0.513594 + 0.858033i \(0.328314\pi\)
\(458\) 1.50651 20.1029i 0.0703944 0.939347i
\(459\) 3.51394 + 1.35404i 0.164017 + 0.0632010i
\(460\) −5.19749 + 3.00077i −0.242334 + 0.139912i
\(461\) −31.8414 21.7091i −1.48300 1.01109i −0.990000 0.141066i \(-0.954947\pi\)
−0.493002 0.870028i \(-0.664101\pi\)
\(462\) −25.3945 + 33.0162i −1.18146 + 1.53605i
\(463\) −27.0480 + 18.4410i −1.25703 + 0.857027i −0.994172 0.107808i \(-0.965617\pi\)
−0.262856 + 0.964835i \(0.584664\pi\)
\(464\) 18.8411 39.1239i 0.874674 1.81628i
\(465\) −10.7602 2.71620i −0.498991 0.125961i
\(466\) 2.25466 + 9.87832i 0.104445 + 0.457604i
\(467\) −2.03515 27.1572i −0.0941757 1.25669i −0.821426 0.570315i \(-0.806821\pi\)
0.727250 0.686372i \(-0.240798\pi\)
\(468\) −8.33378 9.84884i −0.385229 0.455263i
\(469\) −9.27755 + 12.6504i −0.428398 + 0.584139i
\(470\) −0.869391 + 1.27516i −0.0401020 + 0.0588189i
\(471\) −6.46842 + 12.6816i −0.298049 + 0.584338i
\(472\) −3.51327 + 2.02839i −0.161711 + 0.0933641i
\(473\) −12.4673 + 18.2862i −0.573248 + 0.840800i
\(474\) 24.4685 4.99907i 1.12387 0.229615i
\(475\) 9.52461 + 10.2651i 0.437019 + 0.470995i
\(476\) −0.975320 2.21718i −0.0447037 0.101624i
\(477\) 0.201662 + 0.472927i 0.00923347 + 0.0216538i
\(478\) 15.1579 + 10.3345i 0.693308 + 0.472690i
\(479\) −1.19287 + 5.22631i −0.0545036 + 0.238796i −0.994841 0.101448i \(-0.967653\pi\)
0.940337 + 0.340244i \(0.110510\pi\)
\(480\) 11.6337 2.37684i 0.531003 0.108487i
\(481\) −34.6358 + 7.90541i −1.57926 + 0.360455i
\(482\) 16.8001 + 42.8059i 0.765223 + 1.94976i
\(483\) 2.61136 19.6607i 0.118821 0.894593i
\(484\) 6.60767 16.8361i 0.300349 0.765276i
\(485\) 2.19929 14.5913i 0.0998647 0.662559i
\(486\) 9.24389 + 26.5993i 0.419311 + 1.20657i
\(487\) −4.97528 12.6768i −0.225452 0.574441i 0.772729 0.634736i \(-0.218891\pi\)
−0.998181 + 0.0602947i \(0.980796\pi\)
\(488\) 13.1865 + 12.2353i 0.596924 + 0.553864i
\(489\) 6.80949 + 3.47327i 0.307936 + 0.157067i
\(490\) −11.5157 7.74990i −0.520227 0.350105i
\(491\) 7.91882 + 4.57193i 0.357371 + 0.206328i 0.667927 0.744227i \(-0.267182\pi\)
−0.310556 + 0.950555i \(0.600515\pi\)
\(492\) 0.00733505 + 0.0200240i 0.000330690 + 0.000902752i
\(493\) −4.99012 3.97949i −0.224744 0.179227i
\(494\) −12.7828 18.7489i −0.575125 0.843554i
\(495\) −14.7136 + 7.62020i −0.661327 + 0.342503i
\(496\) 22.5013 17.9442i 1.01034 0.805716i
\(497\) −28.4530 0.978666i −1.27629 0.0438992i
\(498\) −32.3237 3.16700i −1.44846 0.141917i
\(499\) −2.79185 12.2319i −0.124980 0.547575i −0.998185 0.0602213i \(-0.980819\pi\)
0.873205 0.487354i \(-0.162038\pi\)
\(500\) 4.45566 11.3528i 0.199263 0.507715i
\(501\) 32.9540 + 5.74047i 1.47228 + 0.256465i
\(502\) 13.1985 + 0.989088i 0.589076 + 0.0441452i
\(503\) −1.54548 + 6.77117i −0.0689094 + 0.301912i −0.997625 0.0688814i \(-0.978057\pi\)
0.928715 + 0.370793i \(0.120914\pi\)
\(504\) −4.63393 + 9.49306i −0.206412 + 0.422854i
\(505\) 1.80997 + 7.93000i 0.0805426 + 0.352880i
\(506\) 5.86313 + 38.8994i 0.260648 + 1.72929i
\(507\) 2.44232 + 0.0558565i 0.108467 + 0.00248067i
\(508\) 4.56063 + 7.89925i 0.202345 + 0.350473i
\(509\) 0.368858 0.0163494 0.00817468 0.999967i \(-0.497398\pi\)
0.00817468 + 0.999967i \(0.497398\pi\)
\(510\) 0.0569121 2.48848i 0.00252011 0.110192i
\(511\) 34.1184 3.94852i 1.50931 0.174672i
\(512\) −7.66625 + 15.9191i −0.338804 + 0.703533i
\(513\) 4.38226 + 18.6656i 0.193482 + 0.824108i
\(514\) −8.39521 + 27.2166i −0.370297 + 1.20047i
\(515\) −6.28873 + 1.43536i −0.277115 + 0.0632496i
\(516\) 3.71999 8.87607i 0.163763 0.390747i
\(517\) 2.20603 + 3.23565i 0.0970211 + 0.142304i
\(518\) −29.7385 40.0408i −1.30663 1.75929i
\(519\) 7.62871 + 13.9400i 0.334863 + 0.611897i
\(520\) 2.48677 4.30721i 0.109052 0.188884i
\(521\) −5.25737 + 9.10603i −0.230329 + 0.398942i −0.957905 0.287085i \(-0.907314\pi\)
0.727576 + 0.686028i \(0.240647\pi\)
\(522\) −1.38712 47.7075i −0.0607125 2.08810i
\(523\) 32.7259 + 12.8440i 1.43100 + 0.561627i 0.949206 0.314655i \(-0.101889\pi\)
0.481797 + 0.876283i \(0.339984\pi\)
\(524\) −19.2694 + 17.8794i −0.841787 + 0.781064i
\(525\) 8.95851 + 14.9062i 0.390981 + 0.650558i
\(526\) 6.54001 + 6.06824i 0.285158 + 0.264588i
\(527\) −1.83541 3.81127i −0.0799518 0.166022i
\(528\) 7.37438 42.3337i 0.320929 1.84234i
\(529\) 2.66134 + 3.33722i 0.115711 + 0.145096i
\(530\) 0.249113 0.231143i 0.0108208 0.0100402i
\(531\) −4.92948 + 7.70201i −0.213921 + 0.334239i
\(532\) 6.52974 10.4620i 0.283100 0.453584i
\(533\) 0.0308864 + 0.0121220i 0.00133784 + 0.000525063i
\(534\) 25.3433 + 2.48308i 1.09671 + 0.107453i
\(535\) −11.3360 + 0.849514i −0.490097 + 0.0367277i
\(536\) 1.17616 7.80330i 0.0508023 0.337051i
\(537\) 1.36146 7.81568i 0.0587515 0.337271i
\(538\) −26.6018 + 15.3586i −1.14689 + 0.662155i
\(539\) −28.9810 + 20.0162i −1.24830 + 0.862158i
\(540\) 5.60544 4.52734i 0.241220 0.194826i
\(541\) −26.9166 + 8.30268i −1.15724 + 0.356960i −0.813193 0.581994i \(-0.802273\pi\)
−0.344043 + 0.938954i \(0.611797\pi\)
\(542\) −24.4056 + 30.6036i −1.04831 + 1.31454i
\(543\) −0.744175 5.84050i −0.0319356 0.250640i
\(544\) 3.53865 + 2.82198i 0.151718 + 0.120991i
\(545\) −5.21131 + 0.785478i −0.223228 + 0.0336462i
\(546\) −10.7548 26.0489i −0.460262 1.11479i
\(547\) −36.4994 5.50140i −1.56060 0.235223i −0.688752 0.724997i \(-0.741841\pi\)
−0.871849 + 0.489774i \(0.837079\pi\)
\(548\) 13.6689 + 14.7316i 0.583908 + 0.629303i
\(549\) 39.0776 + 10.8206i 1.66779 + 0.461812i
\(550\) −25.2862 23.4622i −1.07821 1.00043i
\(551\) 2.42846 32.4056i 0.103456 1.38052i
\(552\) 3.43165 + 9.36808i 0.146061 + 0.398732i
\(553\) 20.9921 + 2.30112i 0.892676 + 0.0978534i
\(554\) 4.53200 14.6924i 0.192546 0.624219i
\(555\) −3.97164 19.4396i −0.168587 0.825165i
\(556\) 4.52268 + 9.39145i 0.191804 + 0.398286i
\(557\) 29.0586 + 16.7770i 1.23125 + 0.710865i 0.967291 0.253668i \(-0.0816370\pi\)
0.263963 + 0.964533i \(0.414970\pi\)
\(558\) 12.8907 28.8866i 0.545706 1.22287i
\(559\) −6.49705 13.4913i −0.274796 0.570620i
\(560\) 14.2348 + 1.56039i 0.601529 + 0.0659385i
\(561\) −5.82513 2.44133i −0.245937 0.103073i
\(562\) −7.17072 3.45324i −0.302478 0.145666i
\(563\) 24.3375 22.5819i 1.02571 0.951715i 0.0268543 0.999639i \(-0.491451\pi\)
0.998851 + 0.0479240i \(0.0152605\pi\)
\(564\) −1.22153 1.18653i −0.0514357 0.0499619i
\(565\) 3.84641 + 5.64165i 0.161820 + 0.237346i
\(566\) −5.67537 2.73312i −0.238554 0.114881i
\(567\) 0.565531 + 23.8050i 0.0237501 + 0.999718i
\(568\) 12.9030 6.21375i 0.541398 0.260723i
\(569\) 35.8868 + 20.7192i 1.50445 + 0.868596i 0.999987 + 0.00516369i \(0.00164366\pi\)
0.504465 + 0.863432i \(0.331690\pi\)
\(570\) 10.6315 6.89777i 0.445306 0.288916i
\(571\) 22.4942 + 15.3363i 0.941353 + 0.641804i 0.933658 0.358167i \(-0.116598\pi\)
0.00769545 + 0.999970i \(0.497550\pi\)
\(572\) 13.4915 + 16.9178i 0.564108 + 0.707370i
\(573\) 1.35274 + 4.77008i 0.0565115 + 0.199273i
\(574\) 0.00188221 + 0.0465439i 7.85620e−5 + 0.00194270i
\(575\) 16.0131 + 3.65488i 0.667792 + 0.152419i
\(576\) 0.123836 + 4.25913i 0.00515984 + 0.177464i
\(577\) −17.5074 + 18.8685i −0.728844 + 0.785507i −0.983381 0.181556i \(-0.941887\pi\)
0.254536 + 0.967063i \(0.418077\pi\)
\(578\) −23.2679 + 18.5556i −0.967818 + 0.771809i
\(579\) 1.30398 5.16569i 0.0541917 0.214679i
\(580\) −11.3682 + 4.46168i −0.472038 + 0.185261i
\(581\) −25.2052 10.9065i −1.04569 0.452478i
\(582\) 39.8977 + 13.3132i 1.65381 + 0.551850i
\(583\) −0.315034 0.802693i −0.0130474 0.0332441i
\(584\) −14.2751 + 9.73260i −0.590708 + 0.402738i
\(585\) 0.512525 11.1992i 0.0211903 0.463030i
\(586\) 3.78879 + 12.2830i 0.156514 + 0.507405i
\(587\) −17.9479 31.0866i −0.740788 1.28308i −0.952137 0.305672i \(-0.901119\pi\)
0.211349 0.977411i \(-0.432214\pi\)
\(588\) 10.6051 11.0506i 0.437346 0.455718i
\(589\) 10.7688 18.6521i 0.443721 0.768547i
\(590\) 5.89278 + 1.34499i 0.242602 + 0.0553723i
\(591\) −2.72710 0.267195i −0.112178 0.0109909i
\(592\) 46.3594 + 22.3255i 1.90536 + 0.917574i
\(593\) 19.0147 + 2.86601i 0.780841 + 0.117693i 0.527354 0.849646i \(-0.323184\pi\)
0.253488 + 0.967339i \(0.418422\pi\)
\(594\) −14.2008 45.0443i −0.582666 1.84819i
\(595\) 0.689173 1.98877i 0.0282533 0.0815318i
\(596\) 1.29086 8.56429i 0.0528756 0.350807i
\(597\) 9.97915 + 35.1889i 0.408420 + 1.44018i
\(598\) −24.7763 9.72397i −1.01318 0.397643i
\(599\) 3.76784 + 12.2150i 0.153950 + 0.499092i 0.999388 0.0349806i \(-0.0111370\pi\)
−0.845438 + 0.534073i \(0.820661\pi\)
\(600\) −7.47423 4.54621i −0.305134 0.185598i
\(601\) −3.46619 11.2371i −0.141389 0.458372i 0.856987 0.515338i \(-0.172333\pi\)
−0.998376 + 0.0569661i \(0.981857\pi\)
\(602\) 13.6645 15.9757i 0.556925 0.651123i
\(603\) −5.73496 16.8384i −0.233546 0.685711i
\(604\) −10.3704 + 26.4233i −0.421965 + 1.07515i
\(605\) 14.1598 6.81900i 0.575678 0.277232i
\(606\) −23.1533 + 1.20352i −0.940539 + 0.0488895i
\(607\) 0.686437i 0.0278616i −0.999903 0.0139308i \(-0.995566\pi\)
0.999903 0.0139308i \(-0.00443446\pi\)
\(608\) −1.72210 + 22.9798i −0.0698402 + 0.931953i
\(609\) 11.2172 38.7682i 0.454542 1.57096i
\(610\) −2.00289 26.7267i −0.0810945 1.08213i
\(611\) −2.64220 + 0.198005i −0.106892 + 0.00801044i
\(612\) 2.69431 + 0.533082i 0.108911 + 0.0215486i
\(613\) −1.69467 0.522737i −0.0684471 0.0211131i 0.260343 0.965516i \(-0.416165\pi\)
−0.328790 + 0.944403i \(0.606641\pi\)
\(614\) −27.9537 + 19.0585i −1.12812 + 0.769140i
\(615\) −0.00716264 + 0.0170904i −0.000288825 + 0.000689151i
\(616\) 8.23153 15.6892i 0.331658 0.632137i
\(617\) −16.7259 1.25343i −0.673358 0.0504612i −0.266337 0.963880i \(-0.585813\pi\)
−0.407021 + 0.913419i \(0.633432\pi\)
\(618\) −0.954426 18.3613i −0.0383926 0.738600i
\(619\) 0.305930i 0.0122964i 0.999981 + 0.00614819i \(0.00195704\pi\)
−0.999981 + 0.00614819i \(0.998043\pi\)
\(620\) −8.07134 0.604863i −0.324153 0.0242919i
\(621\) 16.5801 + 15.1938i 0.665336 + 0.609707i
\(622\) −1.81845 + 0.415050i −0.0729133 + 0.0166420i
\(623\) 19.7620 + 8.55119i 0.791749 + 0.342596i
\(624\) 22.3104 + 18.6422i 0.893133 + 0.746287i
\(625\) −7.54785 + 3.63485i −0.301914 + 0.145394i
\(626\) −5.29192 + 1.63234i −0.211508 + 0.0652415i
\(627\) −6.43701 31.5066i −0.257069 1.25825i
\(628\) −3.06040 + 9.92157i −0.122123 + 0.395914i
\(629\) 4.71546 5.91300i 0.188018 0.235767i
\(630\) 14.6816 5.67222i 0.584927 0.225987i
\(631\) −2.44308 3.06353i −0.0972576 0.121957i 0.730821 0.682569i \(-0.239137\pi\)
−0.828079 + 0.560612i \(0.810566\pi\)
\(632\) −9.88865 + 3.88101i −0.393349 + 0.154378i
\(633\) 18.8112 44.8843i 0.747677 1.78399i
\(634\) 50.7120 + 7.64360i 2.01403 + 0.303566i
\(635\) −1.76370 + 7.72726i −0.0699901 + 0.306647i
\(636\) 0.204091 + 0.314566i 0.00809273 + 0.0124733i
\(637\) −1.92423 23.7526i −0.0762409 0.941112i
\(638\) 80.0492i 3.16918i
\(639\) 19.3853 25.8132i 0.766871 1.02115i
\(640\) −10.1414 + 3.98021i −0.400875 + 0.157332i
\(641\) 4.74127 9.84536i 0.187269 0.388868i −0.786104 0.618094i \(-0.787905\pi\)
0.973373 + 0.229226i \(0.0736194\pi\)
\(642\) 3.15956 32.2477i 0.124698 1.27272i
\(643\) 0.834602 + 5.53723i 0.0329135 + 0.218367i 0.999241 0.0389475i \(-0.0124005\pi\)
−0.966328 + 0.257314i \(0.917162\pi\)
\(644\) −0.584489 14.4534i −0.0230321 0.569544i
\(645\) 7.61571 3.45530i 0.299868 0.136052i
\(646\) 4.61611 + 1.42388i 0.181618 + 0.0560218i
\(647\) −23.9062 + 3.60327i −0.939848 + 0.141659i −0.601061 0.799203i \(-0.705255\pi\)
−0.338788 + 0.940863i \(0.610017\pi\)
\(648\) −5.81535 10.4717i −0.228449 0.411367i
\(649\) 8.63972 12.6721i 0.339139 0.497425i
\(650\) 22.3017 6.87917i 0.874745 0.269823i
\(651\) 17.8465 19.9241i 0.699459 0.780887i
\(652\) 5.32747 + 1.64331i 0.208640 + 0.0643568i
\(653\) −31.4364 + 25.0697i −1.23020 + 0.981054i −0.230235 + 0.973135i \(0.573949\pi\)
−0.999969 + 0.00791922i \(0.997479\pi\)
\(654\) 0.343464 15.0179i 0.0134305 0.587247i
\(655\) −22.8418 −0.892503
\(656\) −0.0240282 0.0416181i −0.000938144 0.00162491i
\(657\) −18.4840 + 34.2789i −0.721128 + 1.33735i
\(658\) −1.74807 3.28349i −0.0681469 0.128004i
\(659\) −28.1856 + 2.11222i −1.09795 + 0.0822802i −0.611363 0.791350i \(-0.709379\pi\)
−0.486590 + 0.873630i \(0.661760\pi\)
\(660\) −9.61822 + 7.31685i −0.374389 + 0.284808i
\(661\) −15.5387 16.7467i −0.604384 0.651371i 0.354538 0.935042i \(-0.384638\pi\)
−0.958922 + 0.283671i \(0.908448\pi\)
\(662\) 0.868237 + 0.935737i 0.0337450 + 0.0363685i
\(663\) 3.40109 2.58731i 0.132087 0.100483i
\(664\) 13.7765 1.03241i 0.534632 0.0400651i
\(665\) 10.3428 2.80483i 0.401077 0.108766i
\(666\) 56.5305 1.64365i 2.19051 0.0636902i
\(667\) −19.0581 33.0096i −0.737934 1.27814i
\(668\) 24.3965 0.943930
\(669\) −0.370319 + 16.1922i −0.0143174 + 0.626026i
\(670\) −9.19255 + 7.33082i −0.355139 + 0.283214i
\(671\) −64.9862 20.0456i −2.50876 0.773851i
\(672\) −7.95443 + 27.4917i −0.306849 + 1.06051i
\(673\) −17.5752 + 5.42124i −0.677476 + 0.208974i −0.614352 0.789032i \(-0.710582\pi\)
−0.0631238 + 0.998006i \(0.520106\pi\)
\(674\) −1.03080 + 1.51191i −0.0397050 + 0.0582366i
\(675\) −19.6732 1.35168i −0.757222 0.0520261i
\(676\) 1.76184 0.265555i 0.0677631 0.0102137i
\(677\) −47.4298 14.6301i −1.82287 0.562282i −0.822891 0.568199i \(-0.807641\pi\)
−0.999982 + 0.00591642i \(0.998117\pi\)
\(678\) −17.7236 + 8.04135i −0.680672 + 0.308826i
\(679\) 28.6799 + 21.0334i 1.10064 + 0.807187i
\(680\) 0.157803 + 1.04696i 0.00605148 + 0.0401490i
\(681\) −4.45329 + 45.4521i −0.170651 + 1.74173i
\(682\) −23.0193 + 47.8001i −0.881455 + 1.83036i
\(683\) 14.1986 5.57252i 0.543293 0.213227i −0.0777927 0.996970i \(-0.524787\pi\)
0.621085 + 0.783743i \(0.286692\pi\)
\(684\) 5.48499 + 12.8631i 0.209724 + 0.491833i
\(685\) 17.4628i 0.667218i
\(686\) 29.4361 15.9000i 1.12388 0.607065i
\(687\) 10.5204 + 16.2152i 0.401380 + 0.618648i
\(688\) −4.82602 + 21.1442i −0.183990 + 0.806114i
\(689\) 0.576907 + 0.0869547i 0.0219784 + 0.00331271i
\(690\) 5.74569 13.7095i 0.218735 0.521911i
\(691\) 15.7709 6.18961i 0.599952 0.235464i −0.0458753 0.998947i \(-0.514608\pi\)
0.645828 + 0.763483i \(0.276512\pi\)
\(692\) 7.22614 + 9.06129i 0.274696 + 0.344458i
\(693\) 0.212267 39.9367i 0.00806335 1.51707i
\(694\) 34.4149 43.1549i 1.30637 1.63814i
\(695\) −2.66982 + 8.65534i −0.101272 + 0.328316i
\(696\) 4.06380 + 19.8907i 0.154038 + 0.753954i
\(697\) −0.00674966 + 0.00208199i −0.000255661 + 7.88611e-5i
\(698\) 12.0903 5.82236i 0.457623 0.220380i
\(699\) −7.45507 6.22933i −0.281977 0.235615i
\(700\) 8.30255 + 9.58906i 0.313807 + 0.362432i
\(701\) 7.18930 1.64091i 0.271536 0.0619763i −0.0845846 0.996416i \(-0.526956\pi\)
0.356121 + 0.934440i \(0.384099\pi\)
\(702\) 31.1974 + 6.91736i 1.17747 + 0.261079i
\(703\) 38.3986 + 2.87758i 1.44823 + 0.108530i
\(704\) 7.14647i 0.269343i
\(705\) −0.0768154 1.47778i −0.00289304 0.0556564i
\(706\) −20.3507 1.52507i −0.765909 0.0573969i
\(707\) −18.9520 5.01693i −0.712764 0.188681i
\(708\) −2.57791 + 6.15102i −0.0968839 + 0.231170i
\(709\) −13.7131 + 9.34941i −0.515005 + 0.351125i −0.792766 0.609526i \(-0.791360\pi\)
0.277761 + 0.960650i \(0.410408\pi\)
\(710\) −20.3897 6.28940i −0.765213 0.236037i
\(711\) −15.7700 + 18.0192i −0.591420 + 0.675771i
\(712\) −10.8014 + 0.809454i −0.404800 + 0.0303356i
\(713\) −1.88785 25.1916i −0.0707005 0.943433i
\(714\) 5.24750 + 2.90806i 0.196383 + 0.108832i
\(715\) −1.40516 + 18.7505i −0.0525498 + 0.701229i
\(716\) 5.78611i 0.216237i
\(717\) −17.5665 + 0.913110i −0.656032 + 0.0341007i
\(718\) 38.8149 18.6923i 1.44856 0.697590i
\(719\) 8.54999 21.7850i 0.318861 0.812444i −0.678131 0.734941i \(-0.737210\pi\)
0.996992 0.0775031i \(-0.0246948\pi\)
\(720\) −10.6936 + 12.2188i −0.398529 + 0.455368i
\(721\) 3.97858 15.0295i 0.148170 0.559729i
\(722\) −2.86719 9.29519i −0.106706 0.345931i
\(723\) −37.6698 22.9127i −1.40095 0.852133i
\(724\) −1.26572 4.10336i −0.0470401 0.152500i
\(725\) 31.1122 + 12.2106i 1.15548 + 0.453491i
\(726\) 12.2219 + 43.0972i 0.453596 + 1.59949i
\(727\) 5.28411 35.0578i 0.195977 1.30022i −0.647091 0.762413i \(-0.724015\pi\)
0.843068 0.537808i \(-0.180747\pi\)
\(728\) 6.40832 + 10.1308i 0.237508 + 0.375472i
\(729\) −22.4954 14.9318i −0.833161 0.553030i
\(730\) 25.4544 + 3.83663i 0.942109 + 0.142000i
\(731\) 2.87206 + 1.38311i 0.106227 + 0.0511563i
\(732\) 29.4323 + 2.88371i 1.08785 + 0.106585i
\(733\) 2.40377 + 0.548646i 0.0887854 + 0.0202647i 0.266683 0.963784i \(-0.414072\pi\)
−0.177897 + 0.984049i \(0.556930\pi\)
\(734\) 0.216191 0.374454i 0.00797977 0.0138214i
\(735\) 13.2867 0.771074i 0.490086 0.0284415i
\(736\) 13.5147 + 23.4081i 0.498158 + 0.862836i
\(737\) 8.79389 + 28.5091i 0.323927 + 1.05015i
\(738\) −0.0444873 0.0284730i −0.00163760 0.00104811i
\(739\) 2.65879 1.81273i 0.0978053 0.0666825i −0.513430 0.858132i \(-0.671625\pi\)
0.611235 + 0.791449i \(0.290673\pi\)
\(740\) −5.28682 13.4706i −0.194347 0.495189i
\(741\) 20.6387 + 6.88678i 0.758181 + 0.252992i
\(742\) 0.214379 + 0.790523i 0.00787010 + 0.0290210i
\(743\) −49.3522 + 19.3693i −1.81056 + 0.710591i −0.820196 + 0.572083i \(0.806136\pi\)
−0.990361 + 0.138509i \(0.955769\pi\)
\(744\) −3.29322 + 13.0460i −0.120735 + 0.478289i
\(745\) 5.88410 4.69241i 0.215577 0.171917i
\(746\) 7.22495 7.78664i 0.264524 0.285089i
\(747\) 26.5049 16.3477i 0.969763 0.598130i
\(748\) −4.49102 1.02505i −0.164208 0.0374794i
\(749\) 10.8809 25.1460i 0.397579 0.918814i
\(750\) 8.24142 + 29.0612i 0.300934 + 1.06117i
\(751\) 29.9195 + 37.5179i 1.09178 + 1.36905i 0.923629 + 0.383287i \(0.125208\pi\)
0.168150 + 0.985761i \(0.446221\pi\)
\(752\) 3.17075 + 2.16178i 0.115625 + 0.0788320i
\(753\) −10.6460 + 6.90714i −0.387962 + 0.251710i
\(754\) −46.9043 27.0802i −1.70815 0.986203i
\(755\) −22.2231 + 10.7021i −0.808780 + 0.389488i
\(756\) 3.38586 + 17.0336i 0.123143 + 0.619505i
\(757\) 15.4185 + 7.42515i 0.560394 + 0.269872i 0.692565 0.721355i \(-0.256480\pi\)
−0.132171 + 0.991227i \(0.542195\pi\)
\(758\) 19.7143 + 28.9156i 0.716056 + 1.05026i
\(759\) −27.0559 26.2807i −0.982067 0.953928i
\(760\) −3.95165 + 3.66660i −0.143342 + 0.133002i
\(761\) −9.09834 4.38153i −0.329815 0.158830i 0.261647 0.965164i \(-0.415734\pi\)
−0.591461 + 0.806333i \(0.701449\pi\)
\(762\) −20.8359 8.73241i −0.754806 0.316342i
\(763\) 4.15915 12.0022i 0.150571 0.434509i
\(764\) 1.56901 + 3.25807i 0.0567647 + 0.117873i
\(765\) 1.40117 + 1.93201i 0.0506595 + 0.0698520i
\(766\) −10.4188 6.01527i −0.376445 0.217341i
\(767\) 4.50238 + 9.34930i 0.162572 + 0.337584i
\(768\) −7.20084 35.2453i −0.259838 1.27180i
\(769\) −7.01632 + 22.7464i −0.253015 + 0.820255i 0.736577 + 0.676354i \(0.236441\pi\)
−0.989592 + 0.143901i \(0.954035\pi\)
\(770\) −24.8901 + 8.79383i −0.896978 + 0.316908i
\(771\) −9.39325 25.6427i −0.338289 0.923499i
\(772\) 0.290380 3.87485i 0.0104510