Properties

Label 930.2.br.a.11.8
Level $930$
Weight $2$
Character 930.11
Analytic conductor $7.426$
Analytic rank $0$
Dimension $176$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 930.br (of order \(30\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(7.42608738798\)
Analytic rank: \(0\)
Dimension: \(176\)
Relative dimension: \(22\) over \(\Q(\zeta_{30})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{30}]$

Embedding invariants

Embedding label 11.8
Character \(\chi\) \(=\) 930.11
Dual form 930.2.br.a.761.8

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.991446 - 1.42022i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.504048 + 1.65709i) q^{6} +(-0.310184 - 2.95121i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-1.03407 - 2.81615i) q^{9} +O(q^{10})\) \(q+(-0.951057 + 0.309017i) q^{2} +(0.991446 - 1.42022i) q^{3} +(0.809017 - 0.587785i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-0.504048 + 1.65709i) q^{6} +(-0.310184 - 2.95121i) q^{7} +(-0.587785 + 0.809017i) q^{8} +(-1.03407 - 2.81615i) q^{9} +(-0.669131 + 0.743145i) q^{10} +(5.85567 + 2.60711i) q^{11} +(-0.0326902 - 1.73174i) q^{12} +(-0.0533559 - 0.251020i) q^{13} +(1.20698 + 2.71091i) q^{14} +(0.148505 - 1.72567i) q^{15} +(0.309017 - 0.951057i) q^{16} +(0.128731 - 0.0573147i) q^{17} +(1.85370 + 2.35877i) q^{18} +(3.33397 + 0.708656i) q^{19} +(0.406737 - 0.913545i) q^{20} +(-4.49890 - 2.48543i) q^{21} +(-6.37472 - 0.670010i) q^{22} +(0.218421 + 0.158692i) q^{23} +(0.566228 + 1.63688i) q^{24} +(0.500000 - 0.866025i) q^{25} +(0.128314 + 0.222246i) q^{26} +(-5.02479 - 1.32345i) q^{27} +(-1.98562 - 2.20525i) q^{28} +(-1.06871 - 3.28916i) q^{29} +(0.392025 + 1.68710i) q^{30} +(5.50287 + 0.847624i) q^{31} +1.00000i q^{32} +(9.50827 - 5.73155i) q^{33} +(-0.104719 + 0.0942896i) q^{34} +(-1.74423 - 2.40073i) q^{35} +(-2.49187 - 1.67050i) q^{36} +(-2.58554 - 1.49276i) q^{37} +(-3.38978 + 0.356280i) q^{38} +(-0.409403 - 0.173095i) q^{39} +(-0.104528 + 0.994522i) q^{40} +(-4.27156 - 3.84613i) q^{41} +(5.04675 + 0.973546i) q^{42} +(-0.105304 + 0.495415i) q^{43} +(6.26976 - 1.33268i) q^{44} +(-2.30361 - 1.92182i) q^{45} +(-0.256769 - 0.0834292i) q^{46} +(-11.6458 - 3.78394i) q^{47} +(-1.04434 - 1.38179i) q^{48} +(-1.76636 + 0.375452i) q^{49} +(-0.207912 + 0.978148i) q^{50} +(0.0462300 - 0.239651i) q^{51} +(-0.190711 - 0.171717i) q^{52} +(-0.682747 + 6.49590i) q^{53} +(5.18782 - 0.294072i) q^{54} +(6.37472 - 0.670010i) q^{55} +(2.56990 + 1.48373i) q^{56} +(4.31190 - 4.03238i) q^{57} +(2.03281 + 2.79793i) q^{58} +(-1.28184 + 1.15417i) q^{59} +(-0.894182 - 1.48339i) q^{60} +10.3488i q^{61} +(-5.49547 + 0.894340i) q^{62} +(-7.99028 + 3.92528i) q^{63} +(-0.309017 - 0.951057i) q^{64} +(-0.171717 - 0.190711i) q^{65} +(-7.27175 + 8.38925i) q^{66} +(2.56939 + 4.45032i) q^{67} +(0.0704568 - 0.122035i) q^{68} +(0.441930 - 0.152872i) q^{69} +(2.40073 + 1.74423i) q^{70} +(-3.18552 - 0.334811i) q^{71} +(2.88612 + 0.818710i) q^{72} +(2.49424 - 5.60216i) q^{73} +(2.92029 + 0.620726i) q^{74} +(-0.734227 - 1.56873i) q^{75} +(3.11377 - 1.38634i) q^{76} +(5.87779 - 18.0900i) q^{77} +(0.442855 + 0.0381105i) q^{78} +(-6.36960 - 14.3063i) q^{79} +(-0.207912 - 0.978148i) q^{80} +(-6.86139 + 5.82420i) q^{81} +(5.25101 + 2.33790i) q^{82} +(-3.61823 + 4.01845i) q^{83} +(-5.10059 + 0.633634i) q^{84} +(0.0828269 - 0.114002i) q^{85} +(-0.0529419 - 0.503709i) q^{86} +(-5.73091 - 1.74321i) q^{87} +(-5.55108 + 3.20492i) q^{88} +(6.43221 - 4.67328i) q^{89} +(2.78474 + 1.11591i) q^{90} +(-0.724260 + 0.235326i) q^{91} +0.269983 q^{92} +(6.65961 - 6.97493i) q^{93} +12.2451 q^{94} +(3.24163 - 1.05327i) q^{95} +(1.42022 + 0.991446i) q^{96} +(3.37411 - 2.45144i) q^{97} +(1.56389 - 0.902913i) q^{98} +(1.28684 - 19.1864i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} + O(q^{10}) \) \( 176q + 44q^{4} + 4q^{7} - 4q^{9} - 22q^{10} - 38q^{13} - 44q^{16} + 12q^{18} + 8q^{19} - 18q^{21} - 4q^{22} + 88q^{25} - 90q^{27} + 36q^{28} + 24q^{31} + 18q^{33} + 14q^{34} + 4q^{36} - 42q^{37} - 42q^{39} + 22q^{40} - 12q^{42} - 34q^{43} - 8q^{45} + 10q^{46} + 22q^{49} + 26q^{51} - 2q^{52} + 4q^{55} + 114q^{57} + 32q^{63} + 44q^{64} - 42q^{66} + 20q^{67} + 16q^{69} + 8q^{70} - 12q^{72} - 28q^{73} + 12q^{76} - 92q^{78} - 56q^{79} - 124q^{81} - 32q^{82} - 12q^{84} - 36q^{87} - 6q^{88} + 24q^{90} - 140q^{91} - 104q^{93} - 36q^{94} + 88q^{97} - 60q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).

\(n\) \(187\) \(311\) \(871\)
\(\chi(n)\) \(1\) \(-1\) \(e\left(\frac{23}{30}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.951057 + 0.309017i −0.672499 + 0.218508i
\(3\) 0.991446 1.42022i 0.572411 0.819967i
\(4\) 0.809017 0.587785i 0.404508 0.293893i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −0.504048 + 1.65709i −0.205777 + 0.676503i
\(7\) −0.310184 2.95121i −0.117239 1.11545i −0.882037 0.471181i \(-0.843828\pi\)
0.764798 0.644270i \(-0.222839\pi\)
\(8\) −0.587785 + 0.809017i −0.207813 + 0.286031i
\(9\) −1.03407 2.81615i −0.344690 0.938716i
\(10\) −0.669131 + 0.743145i −0.211598 + 0.235003i
\(11\) 5.85567 + 2.60711i 1.76555 + 0.786074i 0.987449 + 0.157937i \(0.0504844\pi\)
0.778103 + 0.628137i \(0.216182\pi\)
\(12\) −0.0326902 1.73174i −0.00943683 0.499911i
\(13\) −0.0533559 0.251020i −0.0147983 0.0696203i 0.970129 0.242590i \(-0.0779970\pi\)
−0.984927 + 0.172970i \(0.944664\pi\)
\(14\) 1.20698 + 2.71091i 0.322578 + 0.724521i
\(15\) 0.148505 1.72567i 0.0383439 0.445567i
\(16\) 0.309017 0.951057i 0.0772542 0.237764i
\(17\) 0.128731 0.0573147i 0.0312219 0.0139009i −0.391066 0.920362i \(-0.627894\pi\)
0.422288 + 0.906462i \(0.361227\pi\)
\(18\) 1.85370 + 2.35877i 0.436921 + 0.555968i
\(19\) 3.33397 + 0.708656i 0.764864 + 0.162577i 0.573794 0.819000i \(-0.305471\pi\)
0.191070 + 0.981576i \(0.438804\pi\)
\(20\) 0.406737 0.913545i 0.0909491 0.204275i
\(21\) −4.49890 2.48543i −0.981741 0.542365i
\(22\) −6.37472 0.670010i −1.35909 0.142847i
\(23\) 0.218421 + 0.158692i 0.0455438 + 0.0330895i 0.610324 0.792152i \(-0.291039\pi\)
−0.564780 + 0.825241i \(0.691039\pi\)
\(24\) 0.566228 + 1.63688i 0.115581 + 0.334127i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 0.128314 + 0.222246i 0.0251644 + 0.0435860i
\(27\) −5.02479 1.32345i −0.967021 0.254698i
\(28\) −1.98562 2.20525i −0.375247 0.416754i
\(29\) −1.06871 3.28916i −0.198455 0.610782i −0.999919 0.0127384i \(-0.995945\pi\)
0.801464 0.598043i \(-0.204055\pi\)
\(30\) 0.392025 + 1.68710i 0.0715737 + 0.308021i
\(31\) 5.50287 + 0.847624i 0.988344 + 0.152238i
\(32\) 1.00000i 0.176777i
\(33\) 9.50827 5.73155i 1.65518 0.997736i
\(34\) −0.104719 + 0.0942896i −0.0179592 + 0.0161705i
\(35\) −1.74423 2.40073i −0.294829 0.405797i
\(36\) −2.49187 1.67050i −0.415312 0.278417i
\(37\) −2.58554 1.49276i −0.425060 0.245409i 0.272180 0.962246i \(-0.412256\pi\)
−0.697240 + 0.716838i \(0.745589\pi\)
\(38\) −3.38978 + 0.356280i −0.549894 + 0.0577962i
\(39\) −0.409403 0.173095i −0.0655570 0.0277174i
\(40\) −0.104528 + 0.994522i −0.0165274 + 0.157248i
\(41\) −4.27156 3.84613i −0.667105 0.600664i 0.264391 0.964416i \(-0.414829\pi\)
−0.931496 + 0.363752i \(0.881496\pi\)
\(42\) 5.04675 + 0.973546i 0.778730 + 0.150221i
\(43\) −0.105304 + 0.495415i −0.0160587 + 0.0755501i −0.985447 0.169982i \(-0.945629\pi\)
0.969389 + 0.245532i \(0.0789625\pi\)
\(44\) 6.26976 1.33268i 0.945202 0.200909i
\(45\) −2.30361 1.92182i −0.343401 0.286488i
\(46\) −0.256769 0.0834292i −0.0378585 0.0123010i
\(47\) −11.6458 3.78394i −1.69871 0.551944i −0.710318 0.703881i \(-0.751449\pi\)
−0.988390 + 0.151937i \(0.951449\pi\)
\(48\) −1.04434 1.38179i −0.150737 0.199445i
\(49\) −1.76636 + 0.375452i −0.252338 + 0.0536361i
\(50\) −0.207912 + 0.978148i −0.0294032 + 0.138331i
\(51\) 0.0462300 0.239651i 0.00647350 0.0335579i
\(52\) −0.190711 0.171717i −0.0264469 0.0238129i
\(53\) −0.682747 + 6.49590i −0.0937825 + 0.892281i 0.841946 + 0.539561i \(0.181410\pi\)
−0.935729 + 0.352720i \(0.885257\pi\)
\(54\) 5.18782 0.294072i 0.705973 0.0400181i
\(55\) 6.37472 0.670010i 0.859567 0.0903441i
\(56\) 2.56990 + 1.48373i 0.343417 + 0.198272i
\(57\) 4.31190 4.03238i 0.571125 0.534102i
\(58\) 2.03281 + 2.79793i 0.266921 + 0.367386i
\(59\) −1.28184 + 1.15417i −0.166881 + 0.150260i −0.748340 0.663315i \(-0.769149\pi\)
0.581459 + 0.813576i \(0.302482\pi\)
\(60\) −0.894182 1.48339i −0.115438 0.191505i
\(61\) 10.3488i 1.32503i 0.749048 + 0.662516i \(0.230511\pi\)
−0.749048 + 0.662516i \(0.769489\pi\)
\(62\) −5.49547 + 0.894340i −0.697925 + 0.113581i
\(63\) −7.99028 + 3.92528i −1.00668 + 0.494539i
\(64\) −0.309017 0.951057i −0.0386271 0.118882i
\(65\) −0.171717 0.190711i −0.0212989 0.0236548i
\(66\) −7.27175 + 8.38925i −0.895091 + 1.03265i
\(67\) 2.56939 + 4.45032i 0.313901 + 0.543693i 0.979203 0.202881i \(-0.0650305\pi\)
−0.665302 + 0.746574i \(0.731697\pi\)
\(68\) 0.0704568 0.122035i 0.00854414 0.0147989i
\(69\) 0.441930 0.152872i 0.0532021 0.0184036i
\(70\) 2.40073 + 1.74423i 0.286942 + 0.208475i
\(71\) −3.18552 0.334811i −0.378051 0.0397348i −0.0864026 0.996260i \(-0.527537\pi\)
−0.291649 + 0.956526i \(0.594204\pi\)
\(72\) 2.88612 + 0.818710i 0.340133 + 0.0964859i
\(73\) 2.49424 5.60216i 0.291929 0.655683i −0.706729 0.707485i \(-0.749830\pi\)
0.998657 + 0.0518019i \(0.0164964\pi\)
\(74\) 2.92029 + 0.620726i 0.339476 + 0.0721579i
\(75\) −0.734227 1.56873i −0.0847812 0.181141i
\(76\) 3.11377 1.38634i 0.357174 0.159024i
\(77\) 5.87779 18.0900i 0.669836 2.06154i
\(78\) 0.442855 + 0.0381105i 0.0501435 + 0.00431517i
\(79\) −6.36960 14.3063i −0.716636 1.60959i −0.790603 0.612329i \(-0.790233\pi\)
0.0739674 0.997261i \(-0.476434\pi\)
\(80\) −0.207912 0.978148i −0.0232452 0.109360i
\(81\) −6.86139 + 5.82420i −0.762377 + 0.647133i
\(82\) 5.25101 + 2.33790i 0.579877 + 0.258178i
\(83\) −3.61823 + 4.01845i −0.397152 + 0.441082i −0.908242 0.418445i \(-0.862575\pi\)
0.511090 + 0.859527i \(0.329242\pi\)
\(84\) −5.10059 + 0.633634i −0.556520 + 0.0691352i
\(85\) 0.0828269 0.114002i 0.00898384 0.0123652i
\(86\) −0.0529419 0.503709i −0.00570887 0.0543163i
\(87\) −5.73091 1.74321i −0.614418 0.186892i
\(88\) −5.55108 + 3.20492i −0.591747 + 0.341645i
\(89\) 6.43221 4.67328i 0.681813 0.495366i −0.192146 0.981366i \(-0.561545\pi\)
0.873959 + 0.486000i \(0.161545\pi\)
\(90\) 2.78474 + 1.11591i 0.293537 + 0.117627i
\(91\) −0.724260 + 0.235326i −0.0759231 + 0.0246689i
\(92\) 0.269983 0.0281476
\(93\) 6.65961 6.97493i 0.690569 0.723266i
\(94\) 12.2451 1.26298
\(95\) 3.24163 1.05327i 0.332584 0.108063i
\(96\) 1.42022 + 0.991446i 0.144951 + 0.101189i
\(97\) 3.37411 2.45144i 0.342589 0.248906i −0.403164 0.915128i \(-0.632090\pi\)
0.745754 + 0.666222i \(0.232090\pi\)
\(98\) 1.56389 0.902913i 0.157977 0.0912080i
\(99\) 1.28684 19.1864i 0.129332 1.92830i
\(100\) −0.104528 0.994522i −0.0104528 0.0994522i
\(101\) 0.233398 0.321245i 0.0232240 0.0319651i −0.797247 0.603653i \(-0.793711\pi\)
0.820471 + 0.571688i \(0.193711\pi\)
\(102\) 0.0300889 + 0.242208i 0.00297925 + 0.0239821i
\(103\) −6.85604 + 7.61441i −0.675546 + 0.750270i −0.979285 0.202485i \(-0.935098\pi\)
0.303739 + 0.952755i \(0.401765\pi\)
\(104\) 0.234441 + 0.104380i 0.0229888 + 0.0102353i
\(105\) −5.13888 + 0.0970068i −0.501503 + 0.00946689i
\(106\) −1.35801 6.38895i −0.131902 0.620550i
\(107\) −0.978911 2.19867i −0.0946349 0.212553i 0.860025 0.510252i \(-0.170448\pi\)
−0.954660 + 0.297698i \(0.903781\pi\)
\(108\) −4.84304 + 1.88280i −0.466022 + 0.181173i
\(109\) −4.84728 + 14.9184i −0.464285 + 1.42892i 0.395595 + 0.918425i \(0.370539\pi\)
−0.859880 + 0.510497i \(0.829461\pi\)
\(110\) −5.85567 + 2.60711i −0.558317 + 0.248579i
\(111\) −4.68348 + 2.19205i −0.444536 + 0.208061i
\(112\) −2.90262 0.616970i −0.274271 0.0582982i
\(113\) 3.09800 6.95822i 0.291435 0.654574i −0.707188 0.707025i \(-0.750037\pi\)
0.998623 + 0.0524512i \(0.0167034\pi\)
\(114\) −2.85478 + 5.16747i −0.267375 + 0.483978i
\(115\) 0.268504 + 0.0282209i 0.0250381 + 0.00263161i
\(116\) −2.79793 2.03281i −0.259781 0.188742i
\(117\) −0.651735 + 0.409830i −0.0602529 + 0.0378888i
\(118\) 0.862441 1.49379i 0.0793941 0.137515i
\(119\) −0.209078 0.362133i −0.0191661 0.0331967i
\(120\) 1.30881 + 1.13447i 0.119477 + 0.103562i
\(121\) 20.1314 + 22.3582i 1.83013 + 2.03257i
\(122\) −3.19797 9.84233i −0.289530 0.891082i
\(123\) −9.69738 + 2.25334i −0.874383 + 0.203177i
\(124\) 4.95013 2.54876i 0.444535 0.228885i
\(125\) 1.00000i 0.0894427i
\(126\) 6.38623 6.20230i 0.568931 0.552544i
\(127\) 14.5990 13.1450i 1.29545 1.16643i 0.319710 0.947515i \(-0.396415\pi\)
0.975744 0.218916i \(-0.0702521\pi\)
\(128\) 0.587785 + 0.809017i 0.0519534 + 0.0715077i
\(129\) 0.599198 + 0.640732i 0.0527564 + 0.0564133i
\(130\) 0.222246 + 0.128314i 0.0194923 + 0.0112539i
\(131\) 10.6941 1.12399i 0.934345 0.0982036i 0.374895 0.927067i \(-0.377679\pi\)
0.559450 + 0.828864i \(0.311012\pi\)
\(132\) 4.32343 10.2257i 0.376306 0.890037i
\(133\) 1.05725 10.0590i 0.0916749 0.872229i
\(134\) −3.81886 3.43852i −0.329900 0.297043i
\(135\) −5.01332 + 1.36625i −0.431478 + 0.117588i
\(136\) −0.0292976 + 0.137834i −0.00251225 + 0.0118192i
\(137\) 20.8872 4.43972i 1.78452 0.379311i 0.807064 0.590464i \(-0.201055\pi\)
0.977453 + 0.211153i \(0.0677218\pi\)
\(138\) −0.373061 + 0.281954i −0.0317570 + 0.0240015i
\(139\) −9.92018 3.22326i −0.841419 0.273394i −0.143571 0.989640i \(-0.545859\pi\)
−0.697847 + 0.716246i \(0.745859\pi\)
\(140\) −2.82222 0.916996i −0.238521 0.0775003i
\(141\) −16.9202 + 12.7880i −1.42494 + 1.07695i
\(142\) 3.13307 0.665954i 0.262921 0.0558857i
\(143\) 0.342002 1.60899i 0.0285997 0.134551i
\(144\) −2.99786 + 0.113222i −0.249822 + 0.00943515i
\(145\) −2.57011 2.31414i −0.213436 0.192179i
\(146\) −0.641003 + 6.09873i −0.0530497 + 0.504735i
\(147\) −1.21803 + 2.88087i −0.100461 + 0.237610i
\(148\) −2.96917 + 0.312073i −0.244064 + 0.0256522i
\(149\) 2.88082 + 1.66324i 0.236006 + 0.136258i 0.613340 0.789819i \(-0.289826\pi\)
−0.377334 + 0.926077i \(0.623159\pi\)
\(150\) 1.18306 + 1.26506i 0.0965961 + 0.103292i
\(151\) 3.20473 + 4.41093i 0.260797 + 0.358956i 0.919256 0.393660i \(-0.128791\pi\)
−0.658459 + 0.752617i \(0.728791\pi\)
\(152\) −2.53297 + 2.28070i −0.205451 + 0.184989i
\(153\) −0.294524 0.303258i −0.0238108 0.0245170i
\(154\) 19.0209i 1.53275i
\(155\) 5.18943 2.01737i 0.416825 0.162039i
\(156\) −0.432957 + 0.100604i −0.0346643 + 0.00805480i
\(157\) 3.42703 + 10.5473i 0.273507 + 0.841767i 0.989611 + 0.143773i \(0.0459236\pi\)
−0.716104 + 0.697994i \(0.754076\pi\)
\(158\) 10.4788 + 11.6378i 0.833645 + 0.925856i
\(159\) 8.54873 + 7.40999i 0.677958 + 0.587650i
\(160\) 0.500000 + 0.866025i 0.0395285 + 0.0684653i
\(161\) 0.400582 0.693828i 0.0315703 0.0546813i
\(162\) 4.72580 7.65943i 0.371294 0.601781i
\(163\) −9.88759 7.18376i −0.774456 0.562675i 0.128854 0.991664i \(-0.458870\pi\)
−0.903310 + 0.428988i \(0.858870\pi\)
\(164\) −5.71646 0.600824i −0.446380 0.0469165i
\(165\) 5.36862 9.71780i 0.417947 0.756530i
\(166\) 2.19937 4.93987i 0.170704 0.383408i
\(167\) −10.1755 2.16287i −0.787403 0.167368i −0.203375 0.979101i \(-0.565191\pi\)
−0.584028 + 0.811733i \(0.698524\pi\)
\(168\) 4.65514 2.17879i 0.359152 0.168097i
\(169\) 11.8159 5.26079i 0.908917 0.404676i
\(170\) −0.0435447 + 0.134017i −0.00333973 + 0.0102786i
\(171\) −1.45187 10.1217i −0.111028 0.774029i
\(172\) 0.206005 + 0.462695i 0.0157078 + 0.0352802i
\(173\) 4.65615 + 21.9055i 0.354001 + 1.66544i 0.690175 + 0.723643i \(0.257534\pi\)
−0.336174 + 0.941800i \(0.609133\pi\)
\(174\) 5.98910 0.113057i 0.454033 0.00857079i
\(175\) −2.71091 1.20698i −0.204926 0.0912388i
\(176\) 4.28901 4.76343i 0.323297 0.359057i
\(177\) 0.368309 + 2.96479i 0.0276838 + 0.222847i
\(178\) −4.67328 + 6.43221i −0.350277 + 0.482115i
\(179\) 2.45758 + 23.3823i 0.183688 + 1.74767i 0.566694 + 0.823928i \(0.308222\pi\)
−0.383006 + 0.923746i \(0.625111\pi\)
\(180\) −2.99328 0.200760i −0.223106 0.0149638i
\(181\) 3.88655 2.24390i 0.288885 0.166788i −0.348554 0.937289i \(-0.613327\pi\)
0.637439 + 0.770501i \(0.279994\pi\)
\(182\) 0.616093 0.447617i 0.0456678 0.0331796i
\(183\) 14.6977 + 10.2603i 1.08648 + 0.758464i
\(184\) −0.256769 + 0.0834292i −0.0189292 + 0.00615049i
\(185\) −2.98553 −0.219500
\(186\) −4.17829 + 8.69148i −0.306367 + 0.637290i
\(187\) 0.903233 0.0660509
\(188\) −11.6458 + 3.78394i −0.849354 + 0.275972i
\(189\) −2.34715 + 15.2397i −0.170730 + 1.10852i
\(190\) −2.75749 + 2.00344i −0.200050 + 0.145345i
\(191\) −14.1596 + 8.17505i −1.02455 + 0.591526i −0.915419 0.402501i \(-0.868141\pi\)
−0.109133 + 0.994027i \(0.534808\pi\)
\(192\) −1.65709 0.504048i −0.119590 0.0363765i
\(193\) 1.27720 + 12.1518i 0.0919351 + 0.874704i 0.939162 + 0.343473i \(0.111604\pi\)
−0.847227 + 0.531231i \(0.821730\pi\)
\(194\) −2.45144 + 3.37411i −0.176003 + 0.242247i
\(195\) −0.441101 + 0.0547970i −0.0315879 + 0.00392410i
\(196\) −1.20833 + 1.34199i −0.0863095 + 0.0958565i
\(197\) −20.3188 9.04653i −1.44766 0.644539i −0.475681 0.879618i \(-0.657798\pi\)
−0.971976 + 0.235079i \(0.924465\pi\)
\(198\) 4.70506 + 18.6450i 0.334374 + 1.32504i
\(199\) 3.98258 + 18.7366i 0.282318 + 1.32820i 0.859312 + 0.511452i \(0.170892\pi\)
−0.576994 + 0.816748i \(0.695775\pi\)
\(200\) 0.406737 + 0.913545i 0.0287606 + 0.0645974i
\(201\) 8.86787 + 0.763137i 0.625491 + 0.0538275i
\(202\) −0.122705 + 0.377646i −0.00863347 + 0.0265711i
\(203\) −9.37549 + 4.17424i −0.658030 + 0.292974i
\(204\) −0.103463 0.221055i −0.00724383 0.0154770i
\(205\) −5.62234 1.19507i −0.392681 0.0834670i
\(206\) 4.16750 9.36037i 0.290364 0.652168i
\(207\) 0.221038 0.779204i 0.0153632 0.0541584i
\(208\) −0.255222 0.0268249i −0.0176964 0.00185997i
\(209\) 17.6751 + 12.8417i 1.22261 + 0.888278i
\(210\) 4.85739 1.68026i 0.335192 0.115949i
\(211\) −13.2921 + 23.0226i −0.915067 + 1.58494i −0.108264 + 0.994122i \(0.534529\pi\)
−0.806803 + 0.590820i \(0.798804\pi\)
\(212\) 3.26584 + 5.65660i 0.224299 + 0.388497i
\(213\) −3.63377 + 4.19220i −0.248982 + 0.287245i
\(214\) 1.61043 + 1.78856i 0.110086 + 0.122263i
\(215\) 0.156512 + 0.481694i 0.0106740 + 0.0328513i
\(216\) 4.02419 3.28724i 0.273811 0.223668i
\(217\) 0.794612 16.5030i 0.0539417 1.12030i
\(218\) 15.6861i 1.06240i
\(219\) −5.48341 9.09662i −0.370535 0.614692i
\(220\) 4.76343 4.28901i 0.321151 0.289165i
\(221\) −0.0212557 0.0292559i −0.00142981 0.00196797i
\(222\) 3.77687 3.53204i 0.253487 0.237055i
\(223\) 20.4355 + 11.7985i 1.36847 + 0.790084i 0.990732 0.135831i \(-0.0433703\pi\)
0.377733 + 0.925914i \(0.376704\pi\)
\(224\) 2.95121 0.310184i 0.197186 0.0207251i
\(225\) −2.95589 0.512543i −0.197059 0.0341695i
\(226\) −0.796164 + 7.57499i −0.0529600 + 0.503881i
\(227\) −12.1905 10.9763i −0.809110 0.728526i 0.156737 0.987640i \(-0.449903\pi\)
−0.965847 + 0.259115i \(0.916569\pi\)
\(228\) 1.11822 5.79674i 0.0740561 0.383898i
\(229\) 0.658256 3.09685i 0.0434988 0.204646i −0.951032 0.309094i \(-0.899974\pi\)
0.994530 + 0.104448i \(0.0333076\pi\)
\(230\) −0.264083 + 0.0561326i −0.0174131 + 0.00370127i
\(231\) −19.8643 26.2830i −1.30698 1.72929i
\(232\) 3.28916 + 1.06871i 0.215944 + 0.0701644i
\(233\) 3.93413 + 1.27828i 0.257733 + 0.0837426i 0.435034 0.900414i \(-0.356736\pi\)
−0.177300 + 0.984157i \(0.556736\pi\)
\(234\) 0.493192 0.591169i 0.0322410 0.0386459i
\(235\) −11.9775 + 2.54589i −0.781325 + 0.166076i
\(236\) −0.358623 + 1.68719i −0.0233444 + 0.109827i
\(237\) −26.6333 5.13771i −1.73002 0.333730i
\(238\) 0.310750 + 0.279801i 0.0201429 + 0.0181368i
\(239\) −0.873628 + 8.31201i −0.0565103 + 0.537659i 0.929244 + 0.369467i \(0.120460\pi\)
−0.985754 + 0.168192i \(0.946207\pi\)
\(240\) −1.59532 0.674499i −0.102978 0.0435387i
\(241\) −10.5496 + 1.10881i −0.679559 + 0.0714245i −0.438018 0.898966i \(-0.644319\pi\)
−0.241541 + 0.970391i \(0.577653\pi\)
\(242\) −26.0552 15.0430i −1.67489 0.966999i
\(243\) 1.46896 + 15.5191i 0.0942339 + 0.995550i
\(244\) 6.08289 + 8.37238i 0.389417 + 0.535987i
\(245\) −1.34199 + 1.20833i −0.0857366 + 0.0771976i
\(246\) 8.52643 5.13971i 0.543625 0.327696i
\(247\) 0.874702i 0.0556559i
\(248\) −3.92025 + 3.95369i −0.248936 + 0.251060i
\(249\) 2.11982 + 9.12277i 0.134338 + 0.578132i
\(250\) 0.309017 + 0.951057i 0.0195440 + 0.0601501i
\(251\) 4.56472 + 5.06964i 0.288123 + 0.319993i 0.869779 0.493442i \(-0.164262\pi\)
−0.581656 + 0.813435i \(0.697595\pi\)
\(252\) −4.15705 + 7.87219i −0.261870 + 0.495901i
\(253\) 0.865272 + 1.49869i 0.0543992 + 0.0942221i
\(254\) −9.82246 + 17.0130i −0.616316 + 1.06749i
\(255\) −0.0797892 0.230659i −0.00499660 0.0144444i
\(256\) −0.809017 0.587785i −0.0505636 0.0367366i
\(257\) −8.43770 0.886838i −0.526330 0.0553195i −0.162362 0.986731i \(-0.551911\pi\)
−0.363967 + 0.931412i \(0.618578\pi\)
\(258\) −0.767868 0.424210i −0.0478054 0.0264102i
\(259\) −3.60346 + 8.09350i −0.223908 + 0.502905i
\(260\) −0.251020 0.0533559i −0.0155676 0.00330899i
\(261\) −8.15764 + 6.41088i −0.504945 + 0.396823i
\(262\) −9.82333 + 4.37363i −0.606887 + 0.270204i
\(263\) 6.72004 20.6822i 0.414376 1.27532i −0.498433 0.866928i \(-0.666091\pi\)
0.912808 0.408388i \(-0.133909\pi\)
\(264\) −0.951894 + 11.0613i −0.0585850 + 0.680774i
\(265\) 2.65668 + 5.96699i 0.163198 + 0.366549i
\(266\) 2.10291 + 9.89341i 0.128938 + 0.606604i
\(267\) −0.259908 13.7685i −0.0159061 0.842617i
\(268\) 4.69452 + 2.09013i 0.286763 + 0.127675i
\(269\) −2.54091 + 2.82197i −0.154922 + 0.172059i −0.815610 0.578603i \(-0.803598\pi\)
0.660687 + 0.750661i \(0.270265\pi\)
\(270\) 4.34575 2.84859i 0.264474 0.173359i
\(271\) 2.67624 3.68353i 0.162570 0.223759i −0.719959 0.694017i \(-0.755839\pi\)
0.882529 + 0.470258i \(0.155839\pi\)
\(272\) −0.0147295 0.140142i −0.000893106 0.00849734i
\(273\) −0.383849 + 1.26192i −0.0232316 + 0.0763752i
\(274\) −18.4930 + 10.6769i −1.11720 + 0.645017i
\(275\) 5.18566 3.76760i 0.312707 0.227195i
\(276\) 0.267673 0.383436i 0.0161120 0.0230801i
\(277\) −8.83358 + 2.87020i −0.530758 + 0.172454i −0.562122 0.827054i \(-0.690015\pi\)
0.0313639 + 0.999508i \(0.490015\pi\)
\(278\) 10.4307 0.625592
\(279\) −3.30332 16.3734i −0.197764 0.980250i
\(280\) 2.96746 0.177340
\(281\) 20.0881 6.52702i 1.19836 0.389369i 0.359200 0.933261i \(-0.383050\pi\)
0.839156 + 0.543891i \(0.183050\pi\)
\(282\) 12.1403 17.3907i 0.722946 1.03560i
\(283\) −3.75448 + 2.72779i −0.223180 + 0.162150i −0.693757 0.720209i \(-0.744046\pi\)
0.470577 + 0.882359i \(0.344046\pi\)
\(284\) −2.77393 + 1.60153i −0.164603 + 0.0950334i
\(285\) 1.71802 5.64809i 0.101767 0.334564i
\(286\) 0.171943 + 1.63593i 0.0101672 + 0.0967345i
\(287\) −10.0257 + 13.7992i −0.591801 + 0.814544i
\(288\) 2.81615 1.03407i 0.165943 0.0609332i
\(289\) −11.3619 + 12.6187i −0.668349 + 0.742277i
\(290\) 3.15943 + 1.40667i 0.185528 + 0.0826024i
\(291\) −0.136339 7.22246i −0.00799232 0.423388i
\(292\) −1.27498 5.99832i −0.0746127 0.351025i
\(293\) 2.93664 + 6.59581i 0.171561 + 0.385331i 0.978778 0.204923i \(-0.0656943\pi\)
−0.807218 + 0.590254i \(0.799028\pi\)
\(294\) 0.268175 3.11626i 0.0156403 0.181744i
\(295\) −0.533018 + 1.64046i −0.0310335 + 0.0955112i
\(296\) 2.72741 1.21432i 0.158528 0.0705811i
\(297\) −25.9731 20.8499i −1.50711 1.20983i
\(298\) −3.25379 0.691615i −0.188487 0.0400642i
\(299\) 0.0281807 0.0632950i 0.00162973 0.00366044i
\(300\) −1.51608 0.837561i −0.0875308 0.0483566i
\(301\) 1.49474 + 0.157103i 0.0861551 + 0.00905527i
\(302\) −4.41093 3.20473i −0.253820 0.184411i
\(303\) −0.224838 0.649975i −0.0129166 0.0373401i
\(304\) 1.70422 2.95180i 0.0977440 0.169298i
\(305\) 5.17442 + 8.96235i 0.296286 + 0.513183i
\(306\) 0.373821 + 0.197403i 0.0213699 + 0.0112848i
\(307\) 20.1392 + 22.3668i 1.14940 + 1.27654i 0.955325 + 0.295557i \(0.0955053\pi\)
0.194080 + 0.980986i \(0.437828\pi\)
\(308\) −5.87779 18.0900i −0.334918 1.03077i
\(309\) 4.01677 + 17.2864i 0.228506 + 0.983388i
\(310\) −4.31204 + 3.52225i −0.244908 + 0.200051i
\(311\) 5.29491i 0.300247i −0.988667 0.150123i \(-0.952033\pi\)
0.988667 0.150123i \(-0.0479671\pi\)
\(312\) 0.380678 0.229472i 0.0215517 0.0129913i
\(313\) 6.74152 6.07010i 0.381053 0.343102i −0.456239 0.889857i \(-0.650804\pi\)
0.837293 + 0.546755i \(0.184137\pi\)
\(314\) −6.51860 8.97208i −0.367866 0.506324i
\(315\) −4.95715 + 7.39453i −0.279304 + 0.416635i
\(316\) −13.5622 7.83012i −0.762932 0.440479i
\(317\) 15.4790 1.62691i 0.869386 0.0913762i 0.340678 0.940180i \(-0.389343\pi\)
0.528708 + 0.848804i \(0.322677\pi\)
\(318\) −10.4201 4.40561i −0.584332 0.247055i
\(319\) 2.31718 22.0465i 0.129737 1.23437i
\(320\) −0.743145 0.669131i −0.0415431 0.0374055i
\(321\) −4.09314 0.789589i −0.228457 0.0440706i
\(322\) −0.166571 + 0.783656i −0.00928265 + 0.0436714i
\(323\) 0.469801 0.0998593i 0.0261404 0.00555632i
\(324\) −2.12761 + 8.74490i −0.118200 + 0.485828i
\(325\) −0.244067 0.0793023i −0.0135384 0.00439890i
\(326\) 11.6236 + 3.77672i 0.643769 + 0.209173i
\(327\) 16.3816 + 21.6750i 0.905906 + 1.19863i
\(328\) 5.62234 1.19507i 0.310442 0.0659864i
\(329\) −7.55484 + 35.5427i −0.416512 + 1.95953i
\(330\) −2.10290 + 10.9012i −0.115761 + 0.600090i
\(331\) 6.98624 + 6.29044i 0.383998 + 0.345754i 0.838412 0.545037i \(-0.183484\pi\)
−0.454413 + 0.890791i \(0.650151\pi\)
\(332\) −0.565223 + 5.37774i −0.0310206 + 0.295142i
\(333\) −1.53021 + 8.82490i −0.0838550 + 0.483601i
\(334\) 10.3458 1.08739i 0.566099 0.0594994i
\(335\) 4.45032 + 2.56939i 0.243147 + 0.140381i
\(336\) −3.75402 + 3.51067i −0.204799 + 0.191523i
\(337\) 17.5658 + 24.1772i 0.956869 + 1.31702i 0.948408 + 0.317054i \(0.102694\pi\)
0.00846184 + 0.999964i \(0.497306\pi\)
\(338\) −9.61194 + 8.65463i −0.522821 + 0.470750i
\(339\) −6.81073 11.2985i −0.369908 0.613653i
\(340\) 0.140914i 0.00764211i
\(341\) 30.0131 + 19.3100i 1.62530 + 1.04570i
\(342\) 4.50861 + 9.17770i 0.243798 + 0.496273i
\(343\) −4.76304 14.6591i −0.257180 0.791518i
\(344\) −0.338903 0.376390i −0.0182724 0.0202936i
\(345\) 0.306287 0.353356i 0.0164899 0.0190240i
\(346\) −11.1974 19.3945i −0.601978 1.04266i
\(347\) −8.23955 + 14.2713i −0.442322 + 0.766124i −0.997861 0.0653659i \(-0.979179\pi\)
0.555539 + 0.831490i \(0.312512\pi\)
\(348\) −5.66104 + 1.95826i −0.303464 + 0.104974i
\(349\) −24.0897 17.5022i −1.28949 0.936872i −0.289699 0.957118i \(-0.593555\pi\)
−0.999795 + 0.0202459i \(0.993555\pi\)
\(350\) 2.95121 + 0.310184i 0.157749 + 0.0165800i
\(351\) −0.0641093 + 1.33193i −0.00342190 + 0.0710934i
\(352\) −2.60711 + 5.85567i −0.138960 + 0.312108i
\(353\) 25.4413 + 5.40772i 1.35410 + 0.287824i 0.827108 0.562044i \(-0.189985\pi\)
0.526997 + 0.849867i \(0.323318\pi\)
\(354\) −1.26645 2.70587i −0.0673113 0.143815i
\(355\) −2.92614 + 1.30280i −0.155304 + 0.0691456i
\(356\) 2.45689 7.56152i 0.130215 0.400760i
\(357\) −0.721600 0.0620983i −0.0381911 0.00328659i
\(358\) −9.56282 21.4784i −0.505411 1.13517i
\(359\) −0.543205 2.55558i −0.0286693 0.134878i 0.961485 0.274856i \(-0.0886302\pi\)
−0.990155 + 0.139978i \(0.955297\pi\)
\(360\) 2.90881 0.734038i 0.153308 0.0386872i
\(361\) −6.74423 3.00272i −0.354959 0.158038i
\(362\) −3.00292 + 3.33509i −0.157830 + 0.175288i
\(363\) 51.7129 6.42418i 2.71422 0.337182i
\(364\) −0.447617 + 0.616093i −0.0234615 + 0.0322920i
\(365\) −0.641003 6.09873i −0.0335516 0.319222i
\(366\) −17.1489 5.21631i −0.896388 0.272661i
\(367\) 16.7269 9.65731i 0.873140 0.504107i 0.00474934 0.999989i \(-0.498488\pi\)
0.868390 + 0.495881i \(0.165155\pi\)
\(368\) 0.218421 0.158692i 0.0113860 0.00827238i
\(369\) −6.41417 + 16.0065i −0.333909 + 0.833265i
\(370\) 2.83940 0.922578i 0.147614 0.0479626i
\(371\) 19.3825 1.00629
\(372\) 1.28798 9.55725i 0.0667785 0.495521i
\(373\) 5.10909 0.264539 0.132269 0.991214i \(-0.457774\pi\)
0.132269 + 0.991214i \(0.457774\pi\)
\(374\) −0.859025 + 0.279114i −0.0444191 + 0.0144327i
\(375\) −1.42022 0.991446i −0.0733400 0.0511980i
\(376\) 9.90647 7.19747i 0.510887 0.371181i
\(377\) −0.768621 + 0.443764i −0.0395860 + 0.0228550i
\(378\) −2.47705 15.2191i −0.127406 0.782787i
\(379\) −1.52625 14.5213i −0.0783983 0.745910i −0.961142 0.276055i \(-0.910973\pi\)
0.882743 0.469855i \(-0.155694\pi\)
\(380\) 2.00344 2.75749i 0.102774 0.141456i
\(381\) −4.19473 33.7664i −0.214902 1.72991i
\(382\) 10.9404 12.1505i 0.559757 0.621673i
\(383\) −22.9609 10.2228i −1.17325 0.522363i −0.274824 0.961495i \(-0.588620\pi\)
−0.898423 + 0.439132i \(0.855286\pi\)
\(384\) 1.73174 0.0326902i 0.0883726 0.00166821i
\(385\) −3.95467 18.6053i −0.201549 0.948213i
\(386\) −4.96980 11.1623i −0.252956 0.568149i
\(387\) 1.50405 0.215743i 0.0764554 0.0109669i
\(388\) 1.28880 3.96651i 0.0654288 0.201369i
\(389\) 27.8643 12.4060i 1.41278 0.629008i 0.448469 0.893798i \(-0.351969\pi\)
0.964306 + 0.264790i \(0.0853026\pi\)
\(390\) 0.402579 0.188423i 0.0203854 0.00954116i
\(391\) 0.0372129 + 0.00790984i 0.00188194 + 0.000400018i
\(392\) 0.734496 1.64970i 0.0370976 0.0833226i
\(393\) 9.00627 16.3023i 0.454306 0.822344i
\(394\) 22.1199 + 2.32490i 1.11438 + 0.117127i
\(395\) −12.6694 9.20486i −0.637467 0.463147i
\(396\) −10.2364 16.2785i −0.514399 0.818025i
\(397\) −0.671490 + 1.16305i −0.0337011 + 0.0583720i −0.882384 0.470530i \(-0.844063\pi\)
0.848683 + 0.528902i \(0.177396\pi\)
\(398\) −9.57758 16.5888i −0.480080 0.831524i
\(399\) −13.2379 11.4745i −0.662722 0.574444i
\(400\) −0.669131 0.743145i −0.0334565 0.0371572i
\(401\) 8.37871 + 25.7870i 0.418413 + 1.28774i 0.909162 + 0.416442i \(0.136723\pi\)
−0.490750 + 0.871301i \(0.663277\pi\)
\(402\) −8.66966 + 2.01453i −0.432404 + 0.100476i
\(403\) −0.0808398 1.42655i −0.00402692 0.0710617i
\(404\) 0.397081i 0.0197555i
\(405\) −3.03004 + 8.47460i −0.150564 + 0.421106i
\(406\) 7.62671 6.86712i 0.378507 0.340809i
\(407\) −11.2483 15.4819i −0.557557 0.767411i
\(408\) 0.166709 + 0.178264i 0.00825331 + 0.00882540i
\(409\) −27.4210 15.8315i −1.35588 0.782818i −0.366814 0.930294i \(-0.619552\pi\)
−0.989066 + 0.147477i \(0.952885\pi\)
\(410\) 5.71646 0.600824i 0.282316 0.0296726i
\(411\) 14.4032 34.0663i 0.710456 1.68037i
\(412\) −1.07102 + 10.1901i −0.0527653 + 0.502029i
\(413\) 3.80380 + 3.42496i 0.187173 + 0.168531i
\(414\) 0.0305679 + 0.809371i 0.00150233 + 0.0397784i
\(415\) −1.12425 + 5.28919i −0.0551874 + 0.259636i
\(416\) 0.251020 0.0533559i 0.0123072 0.00261599i
\(417\) −14.4131 + 10.8932i −0.705811 + 0.533442i
\(418\) −20.7783 6.75127i −1.01630 0.330216i
\(419\) 13.2118 + 4.29277i 0.645438 + 0.209715i 0.613401 0.789771i \(-0.289801\pi\)
0.0320362 + 0.999487i \(0.489801\pi\)
\(420\) −4.10042 + 3.09904i −0.200080 + 0.151218i
\(421\) 36.5161 7.76173i 1.77968 0.378283i 0.803513 0.595287i \(-0.202962\pi\)
0.976171 + 0.217004i \(0.0696284\pi\)
\(422\) 5.52717 26.0033i 0.269059 1.26582i
\(423\) 1.38641 + 36.7091i 0.0674096 + 1.78486i
\(424\) −4.85399 4.37055i −0.235730 0.212253i
\(425\) 0.0147295 0.140142i 0.000714485 0.00679787i
\(426\) 2.16046 5.10992i 0.104675 0.247576i
\(427\) 30.5415 3.21004i 1.47801 0.155345i
\(428\) −2.08430 1.20337i −0.100748 0.0581672i
\(429\) −1.94605 2.08095i −0.0939564 0.100469i
\(430\) −0.297703 0.409753i −0.0143565 0.0197601i
\(431\) −7.85858 + 7.07589i −0.378534 + 0.340834i −0.836333 0.548222i \(-0.815305\pi\)
0.457798 + 0.889056i \(0.348638\pi\)
\(432\) −2.81142 + 4.36989i −0.135264 + 0.210246i
\(433\) 0.696606i 0.0334767i −0.999860 0.0167384i \(-0.994672\pi\)
0.999860 0.0167384i \(-0.00532824\pi\)
\(434\) 4.34399 + 15.9408i 0.208518 + 0.765185i
\(435\) −5.83472 + 1.35579i −0.279754 + 0.0650052i
\(436\) 4.84728 + 14.9184i 0.232142 + 0.714461i
\(437\) 0.615749 + 0.683858i 0.0294553 + 0.0327134i
\(438\) 8.02604 + 6.95693i 0.383499 + 0.332415i
\(439\) −15.1086 26.1689i −0.721096 1.24898i −0.960561 0.278070i \(-0.910305\pi\)
0.239465 0.970905i \(-0.423028\pi\)
\(440\) −3.20492 + 5.55108i −0.152788 + 0.264637i
\(441\) 2.88388 + 4.58610i 0.137327 + 0.218386i
\(442\) 0.0292559 + 0.0212557i 0.00139156 + 0.00101103i
\(443\) 22.0683 + 2.31948i 1.04850 + 0.110202i 0.613075 0.790024i \(-0.289932\pi\)
0.435423 + 0.900226i \(0.356599\pi\)
\(444\) −2.50056 + 4.52629i −0.118671 + 0.214808i
\(445\) 3.23382 7.26328i 0.153298 0.344313i
\(446\) −23.0813 4.90608i −1.09293 0.232310i
\(447\) 5.21836 2.44240i 0.246820 0.115521i
\(448\) −2.71091 + 1.20698i −0.128078 + 0.0570242i
\(449\) −3.01743 + 9.28669i −0.142401 + 0.438266i −0.996668 0.0815694i \(-0.974007\pi\)
0.854266 + 0.519836i \(0.174007\pi\)
\(450\) 2.96961 0.425964i 0.139989 0.0200801i
\(451\) −14.9855 33.6581i −0.705642 1.58490i
\(452\) −1.58360 7.45027i −0.0744865 0.350431i
\(453\) 9.44182 0.178233i 0.443615 0.00837414i
\(454\) 14.9857 + 6.67206i 0.703314 + 0.313135i
\(455\) −0.509565 + 0.565929i −0.0238888 + 0.0265311i
\(456\) 0.727797 + 5.85857i 0.0340822 + 0.274353i
\(457\) −16.7874 + 23.1059i −0.785284 + 1.08085i 0.209396 + 0.977831i \(0.432850\pi\)
−0.994679 + 0.103019i \(0.967150\pi\)
\(458\) 0.330941 + 3.14869i 0.0154638 + 0.147129i
\(459\) −0.722699 + 0.117626i −0.0337327 + 0.00549030i
\(460\) 0.233812 0.134991i 0.0109015 0.00629400i
\(461\) 12.9289 9.39336i 0.602157 0.437492i −0.244487 0.969653i \(-0.578620\pi\)
0.846644 + 0.532160i \(0.178620\pi\)
\(462\) 27.0140 + 18.8582i 1.25680 + 0.877364i
\(463\) −13.9863 + 4.54442i −0.649997 + 0.211197i −0.615413 0.788205i \(-0.711011\pi\)
−0.0345844 + 0.999402i \(0.511011\pi\)
\(464\) −3.45843 −0.160553
\(465\) 2.27993 9.37027i 0.105729 0.434536i
\(466\) −4.13659 −0.191624
\(467\) −25.9318 + 8.42577i −1.19998 + 0.389898i −0.839755 0.542966i \(-0.817301\pi\)
−0.360228 + 0.932864i \(0.617301\pi\)
\(468\) −0.286373 + 0.714640i −0.0132376 + 0.0330342i
\(469\) 12.3368 8.96323i 0.569662 0.413883i
\(470\) 10.6045 6.12254i 0.489151 0.282412i
\(471\) 18.3773 + 5.58994i 0.846779 + 0.257571i
\(472\) −0.180299 1.71543i −0.00829894 0.0789592i
\(473\) −1.90823 + 2.62645i −0.0877404 + 0.120764i
\(474\) 26.9174 3.34389i 1.23636 0.153590i
\(475\) 2.28070 2.53297i 0.104646 0.116221i
\(476\) −0.382004 0.170079i −0.0175091 0.00779557i
\(477\) 18.9994 4.79451i 0.869925 0.219525i
\(478\) −1.73768 8.17516i −0.0794798 0.373923i
\(479\) −6.64610 14.9274i −0.303668 0.682049i 0.695673 0.718359i \(-0.255106\pi\)
−0.999341 + 0.0363096i \(0.988440\pi\)
\(480\) 1.72567 + 0.148505i 0.0787658 + 0.00677831i
\(481\) −0.236759 + 0.728669i −0.0107953 + 0.0332245i
\(482\) 9.69062 4.31454i 0.441396 0.196522i
\(483\) −0.588236 1.25681i −0.0267656 0.0571867i
\(484\) 29.4285 + 6.25522i 1.33766 + 0.284328i
\(485\) 1.69635 3.81006i 0.0770273 0.173006i
\(486\) −6.19273 14.3056i −0.280908 0.648915i
\(487\) 8.27105 + 0.869322i 0.374797 + 0.0393927i 0.290054 0.957010i \(-0.406327\pi\)
0.0847425 + 0.996403i \(0.472993\pi\)
\(488\) −8.37238 6.08289i −0.379000 0.275360i
\(489\) −20.0055 + 6.92029i −0.904682 + 0.312946i
\(490\) 0.902913 1.56389i 0.0407895 0.0706494i
\(491\) −5.38717 9.33085i −0.243120 0.421095i 0.718482 0.695546i \(-0.244837\pi\)
−0.961601 + 0.274451i \(0.911504\pi\)
\(492\) −6.52086 + 7.52296i −0.293983 + 0.339161i
\(493\) −0.326094 0.362164i −0.0146865 0.0163110i
\(494\) 0.270298 + 0.831891i 0.0121613 + 0.0374285i
\(495\) −8.47876 17.2593i −0.381092 0.775749i
\(496\) 2.50662 4.97161i 0.112550 0.223232i
\(497\) 9.50497i 0.426356i
\(498\) −4.83516 8.02121i −0.216669 0.359439i
\(499\) −18.9389 + 17.0527i −0.847822 + 0.763383i −0.973500 0.228689i \(-0.926556\pi\)
0.125677 + 0.992071i \(0.459890\pi\)
\(500\) −0.587785 0.809017i −0.0262866 0.0361803i
\(501\) −13.1602 + 12.3071i −0.587955 + 0.549841i
\(502\) −5.90792 3.41094i −0.263683 0.152238i
\(503\) −3.00457 + 0.315793i −0.133967 + 0.0140805i −0.171275 0.985223i \(-0.554789\pi\)
0.0373075 + 0.999304i \(0.488122\pi\)
\(504\) 1.52095 8.77150i 0.0677486 0.390713i
\(505\) 0.0415062 0.394905i 0.00184700 0.0175731i
\(506\) −1.28604 1.15796i −0.0571717 0.0514776i
\(507\) 4.24335 21.9970i 0.188454 0.976923i
\(508\) 4.08441 19.2156i 0.181216 0.852556i
\(509\) −0.368881 + 0.0784080i −0.0163504 + 0.00347537i −0.216080 0.976376i \(-0.569327\pi\)
0.199729 + 0.979851i \(0.435994\pi\)
\(510\) 0.147162 + 0.194714i 0.00651643 + 0.00862206i
\(511\) −17.3068 5.62332i −0.765607 0.248761i
\(512\) 0.951057 + 0.309017i 0.0420312 + 0.0136568i
\(513\) −15.8146 7.97317i −0.698232 0.352024i
\(514\) 8.29878 1.76396i 0.366044 0.0778050i
\(515\) −2.13030 + 10.0223i −0.0938724 + 0.441635i
\(516\) 0.861374 + 0.166164i 0.0379199 + 0.00731495i
\(517\) −58.3286 52.5193i −2.56529 2.30980i
\(518\) 0.926063 8.81090i 0.0406889 0.387129i
\(519\) 35.7270 + 15.1053i 1.56824 + 0.663050i
\(520\) 0.255222 0.0268249i 0.0111922 0.00117635i
\(521\) 32.5754 + 18.8074i 1.42715 + 0.823967i 0.996895 0.0787386i \(-0.0250893\pi\)
0.430258 + 0.902706i \(0.358423\pi\)
\(522\) 5.77731 8.61796i 0.252866 0.377198i
\(523\) −15.2004 20.9216i −0.664669 0.914838i 0.334956 0.942234i \(-0.391279\pi\)
−0.999625 + 0.0273955i \(0.991279\pi\)
\(524\) 7.99102 7.19514i 0.349089 0.314321i
\(525\) −4.40190 + 2.65345i −0.192114 + 0.115806i
\(526\) 21.7465i 0.948193i
\(527\) 0.756971 0.206280i 0.0329742 0.00898569i
\(528\) −2.51282 10.8140i −0.109356 0.470621i
\(529\) −7.08487 21.8050i −0.308038 0.948042i
\(530\) −4.37055 4.85399i −0.189845 0.210844i
\(531\) 4.57583 + 2.41635i 0.198574 + 0.104861i
\(532\) −5.05722 8.75936i −0.219258 0.379766i
\(533\) −0.737541 + 1.27746i −0.0319464 + 0.0553328i
\(534\) 4.50188 + 13.0143i 0.194815 + 0.563183i
\(535\) −1.94710 1.41465i −0.0841803 0.0611606i
\(536\) −5.11064 0.537150i −0.220746 0.0232013i
\(537\) 35.6446 + 19.6920i 1.53818 + 0.849771i
\(538\) 1.54452 3.46904i 0.0665888 0.149561i
\(539\) −11.3221 2.40659i −0.487677 0.103659i
\(540\) −3.25279 + 4.05208i −0.139978 + 0.174374i
\(541\) 10.0784 4.48718i 0.433303 0.192919i −0.178482 0.983943i \(-0.557119\pi\)
0.611785 + 0.791024i \(0.290452\pi\)
\(542\) −1.40698 + 4.33025i −0.0604351 + 0.186000i
\(543\) 0.666462 7.74447i 0.0286006 0.332347i
\(544\) 0.0573147 + 0.128731i 0.00245735 + 0.00551930i
\(545\) 3.26133 + 15.3433i 0.139700 + 0.657236i
\(546\) −0.0248946 1.31878i −0.00106539 0.0564385i
\(547\) 26.0680 + 11.6062i 1.11459 + 0.496246i 0.879581 0.475749i \(-0.157823\pi\)
0.235005 + 0.971994i \(0.424489\pi\)
\(548\) 14.2885 15.8690i 0.610376 0.677891i
\(549\) 29.1439 10.7014i 1.24383 0.456726i
\(550\) −3.76760 + 5.18566i −0.160651 + 0.221117i
\(551\) −1.23217 11.7233i −0.0524921 0.499429i
\(552\) −0.136084 + 0.447385i −0.00579213 + 0.0190420i
\(553\) −40.2452 + 23.2356i −1.71140 + 0.988078i
\(554\) 7.51429 5.45945i 0.319252 0.231950i
\(555\) −2.95999 + 4.24012i −0.125644 + 0.179983i
\(556\) −9.92018 + 3.22326i −0.420709 + 0.136697i
\(557\) −28.2244 −1.19590 −0.597952 0.801532i \(-0.704019\pi\)
−0.597952 + 0.801532i \(0.704019\pi\)
\(558\) 8.20130 + 14.5512i 0.347189 + 0.616003i
\(559\) 0.129978 0.00549746
\(560\) −2.82222 + 0.916996i −0.119261 + 0.0387502i
\(561\) 0.895506 1.28279i 0.0378083 0.0541595i
\(562\) −17.0880 + 12.4151i −0.720812 + 0.523701i
\(563\) 17.1685 9.91222i 0.723565 0.417750i −0.0924984 0.995713i \(-0.529485\pi\)
0.816063 + 0.577962i \(0.196152\pi\)
\(564\) −6.17210 + 20.2911i −0.259892 + 0.854411i
\(565\) −0.796164 7.57499i −0.0334949 0.318682i
\(566\) 2.72779 3.75448i 0.114657 0.157812i
\(567\) 19.3167 + 18.4428i 0.811225 + 0.774525i
\(568\) 2.14327 2.38034i 0.0899295 0.0998769i
\(569\) −37.4164 16.6589i −1.56858 0.698376i −0.575717 0.817649i \(-0.695277\pi\)
−0.992862 + 0.119272i \(0.961944\pi\)
\(570\) 0.111423 + 5.90255i 0.00466698 + 0.247231i
\(571\) −9.25762 43.5537i −0.387419 1.82266i −0.549022 0.835808i \(-0.685000\pi\)
0.161603 0.986856i \(-0.448334\pi\)
\(572\) −0.669057 1.50273i −0.0279747 0.0628322i
\(573\) −2.42808 + 28.2149i −0.101434 + 1.17870i
\(574\) 5.27084 16.2220i 0.220001 0.677093i
\(575\) 0.246641 0.109812i 0.0102857 0.00457947i
\(576\) −2.35877 + 1.85370i −0.0982822 + 0.0772374i
\(577\) 8.59621 + 1.82718i 0.357865 + 0.0760665i 0.383336 0.923609i \(-0.374775\pi\)
−0.0254710 + 0.999676i \(0.508109\pi\)
\(578\) 6.90645 15.5121i 0.287270 0.645220i
\(579\) 18.5245 + 10.2339i 0.769853 + 0.425307i
\(580\) −3.43948 0.361504i −0.142817 0.0150106i
\(581\) 12.9816 + 9.43168i 0.538567 + 0.391292i
\(582\) 2.36153 + 6.82684i 0.0978886 + 0.282982i
\(583\) −20.9335 + 36.2579i −0.866977 + 1.50165i
\(584\) 3.06616 + 5.31075i 0.126879 + 0.219760i
\(585\) −0.359504 + 0.680791i −0.0148637 + 0.0281472i
\(586\) −4.83113 5.36552i −0.199572 0.221647i
\(587\) 1.60954 + 4.95366i 0.0664329 + 0.204459i 0.978763 0.204997i \(-0.0657184\pi\)
−0.912330 + 0.409456i \(0.865718\pi\)
\(588\) 0.707929 + 3.04661i 0.0291945 + 0.125640i
\(589\) 17.7457 + 6.72559i 0.731198 + 0.277123i
\(590\) 1.72488i 0.0710122i
\(591\) −32.9931 + 19.8882i −1.35716 + 0.818090i
\(592\) −2.21868 + 1.99771i −0.0911871 + 0.0821053i
\(593\) −8.51531 11.7203i −0.349682 0.481296i 0.597556 0.801827i \(-0.296139\pi\)
−0.947238 + 0.320531i \(0.896139\pi\)
\(594\) 31.1449 + 11.8033i 1.27789 + 0.484294i
\(595\) −0.362133 0.209078i −0.0148460 0.00857136i
\(596\) 3.30826 0.347712i 0.135512 0.0142429i
\(597\) 30.5586 + 12.9201i 1.25068 + 0.528786i
\(598\) −0.00724225 + 0.0689054i −0.000296158 + 0.00281775i
\(599\) −31.5334 28.3928i −1.28842 1.16010i −0.977794 0.209568i \(-0.932794\pi\)
−0.310627 0.950532i \(-0.600539\pi\)
\(600\) 1.70070 + 0.328074i 0.0694306 + 0.0133936i
\(601\) 2.71216 12.7597i 0.110631 0.520480i −0.887578 0.460658i \(-0.847613\pi\)
0.998209 0.0598218i \(-0.0190532\pi\)
\(602\) −1.47013 + 0.312485i −0.0599178 + 0.0127359i
\(603\) 9.87583 11.8377i 0.402175 0.482070i
\(604\) 5.18536 + 1.68482i 0.210989 + 0.0685545i
\(605\) 28.6134 + 9.29707i 1.16330 + 0.377980i
\(606\) 0.414687 + 0.548684i 0.0168455 + 0.0222888i
\(607\) −44.9720 + 9.55908i −1.82536 + 0.387991i −0.987464 0.157846i \(-0.949545\pi\)
−0.837891 + 0.545837i \(0.816212\pi\)
\(608\) −0.708656 + 3.33397i −0.0287398 + 0.135210i
\(609\) −3.36694 + 17.4538i −0.136435 + 0.707264i
\(610\) −7.69068 6.92472i −0.311387 0.280374i
\(611\) −0.328473 + 3.12521i −0.0132886 + 0.126432i
\(612\) −0.416525 0.0722243i −0.0168370 0.00291949i
\(613\) 37.1749 3.90724i 1.50148 0.157812i 0.682184 0.731181i \(-0.261030\pi\)
0.819297 + 0.573369i \(0.194364\pi\)
\(614\) −26.0652 15.0488i −1.05191 0.607319i
\(615\) −7.27150 + 6.80014i −0.293215 + 0.274208i
\(616\) 11.1802 + 15.3883i 0.450464 + 0.620010i
\(617\) 17.3969 15.6642i 0.700373 0.630618i −0.239997 0.970774i \(-0.577146\pi\)
0.940369 + 0.340155i \(0.110480\pi\)
\(618\) −9.16196 15.1991i −0.368548 0.611397i
\(619\) 28.5570i 1.14780i 0.818925 + 0.573900i \(0.194570\pi\)
−0.818925 + 0.573900i \(0.805430\pi\)
\(620\) 3.01256 4.68236i 0.120987 0.188048i
\(621\) −0.887497 1.08646i −0.0356140 0.0435982i
\(622\) 1.63622 + 5.03576i 0.0656063 + 0.201915i
\(623\) −15.7870 17.5332i −0.632491 0.702453i
\(624\) −0.291136 + 0.335877i −0.0116548 + 0.0134458i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −4.53581 + 7.85625i −0.181287 + 0.313999i
\(627\) 35.7619 12.3707i 1.42819 0.494039i
\(628\) 8.97208 + 6.51860i 0.358025 + 0.260120i
\(629\) −0.418397 0.0439753i −0.0166826 0.00175341i
\(630\) 2.42949 8.56446i 0.0967932 0.341216i
\(631\) 11.7545 26.4010i 0.467938 1.05101i −0.513301 0.858209i \(-0.671577\pi\)
0.981239 0.192797i \(-0.0617560\pi\)
\(632\) 15.3180 + 3.25595i 0.609319 + 0.129515i
\(633\) 19.5189 + 41.7035i 0.775805 + 1.65756i
\(634\) −14.2186 + 6.33055i −0.564694 + 0.251418i
\(635\) 6.07061 18.6834i 0.240905 0.741429i
\(636\) 11.2715 + 0.969990i 0.446946 + 0.0384626i
\(637\) 0.188492 + 0.423360i 0.00746832 + 0.0167741i
\(638\) 4.60897 + 21.6835i 0.182471 + 0.858459i
\(639\) 2.35117 + 9.31711i 0.0930109 + 0.368579i
\(640\) 0.913545 + 0.406737i 0.0361111 + 0.0160777i
\(641\) 10.6851 11.8670i 0.422036 0.468719i −0.494205 0.869345i \(-0.664541\pi\)
0.916241 + 0.400627i \(0.131208\pi\)
\(642\) 4.13680 0.513906i 0.163267 0.0202822i
\(643\) −4.07102 + 5.60327i −0.160545 + 0.220972i −0.881710 0.471792i \(-0.843607\pi\)
0.721164 + 0.692764i \(0.243607\pi\)
\(644\) −0.0837444 0.796774i −0.00329999 0.0313973i
\(645\) 0.839286 + 0.255292i 0.0330469 + 0.0100521i
\(646\) −0.415949 + 0.240148i −0.0163653 + 0.00944851i
\(647\) −14.4912 + 10.5285i −0.569707 + 0.413917i −0.834999 0.550252i \(-0.814532\pi\)
0.265291 + 0.964168i \(0.414532\pi\)
\(648\) −0.678847 8.97436i −0.0266676 0.352546i
\(649\) −10.5151 + 3.41655i −0.412753 + 0.134111i
\(650\) 0.256628 0.0100658
\(651\) −22.6501 17.4904i −0.887729 0.685501i
\(652\) −12.2217 −0.478640
\(653\) −15.6971 + 5.10030i −0.614276 + 0.199590i −0.599597 0.800302i \(-0.704673\pi\)
−0.0146786 + 0.999892i \(0.504673\pi\)
\(654\) −22.2778 15.5519i −0.871131 0.608129i
\(655\) 8.69934 6.32044i 0.339911 0.246960i
\(656\) −4.97787 + 2.87397i −0.194353 + 0.112210i
\(657\) −18.3557 1.23113i −0.716125 0.0480309i
\(658\) −3.79823 36.1377i −0.148070 1.40880i
\(659\) 12.2545 16.8669i 0.477369 0.657043i −0.500627 0.865663i \(-0.666897\pi\)
0.977997 + 0.208620i \(0.0668973\pi\)
\(660\) −1.36868 11.0175i −0.0532756 0.428854i
\(661\) −21.1234 + 23.4599i −0.821605 + 0.912485i −0.997409 0.0719405i \(-0.977081\pi\)
0.175804 + 0.984425i \(0.443747\pi\)
\(662\) −8.58816 3.82370i −0.333788 0.148612i
\(663\) −0.0626238 + 0.00118215i −0.00243211 + 4.59110e-5i
\(664\) −1.12425 5.28919i −0.0436295 0.205261i
\(665\) −4.11391 9.24000i −0.159531 0.358312i
\(666\) −1.27173 8.86584i −0.0492784 0.343544i
\(667\) 0.288534 0.888016i 0.0111721 0.0343841i
\(668\) −9.50345 + 4.23121i −0.367700 + 0.163710i
\(669\) 37.0172 17.3255i 1.43117 0.669843i
\(670\) −5.02649 1.06841i −0.194190 0.0412764i
\(671\) −26.9806 + 60.5994i −1.04157 + 2.33941i
\(672\) 2.48543 4.49890i 0.0958775 0.173549i
\(673\) −0.236402 0.0248468i −0.00911263 0.000957776i 0.0999711 0.994990i \(-0.468125\pi\)
−0.109084 + 0.994033i \(0.534792\pi\)
\(674\) −24.1772 17.5658i −0.931272 0.676609i
\(675\) −3.65853 + 3.68987i −0.140817 + 0.142023i
\(676\) 6.46707 11.2013i 0.248734 0.430819i
\(677\) 3.27774 + 5.67721i 0.125974 + 0.218193i 0.922113 0.386920i \(-0.126461\pi\)
−0.796139 + 0.605113i \(0.793128\pi\)
\(678\) 9.96883 + 8.64092i 0.382851 + 0.331853i
\(679\) −8.28129 9.19731i −0.317807 0.352960i
\(680\) 0.0435447 + 0.134017i 0.00166986 + 0.00513931i
\(681\) −27.6750 + 6.43074i −1.06051 + 0.246426i
\(682\) −34.5113 9.09034i −1.32151 0.348087i
\(683\) 21.3045i 0.815194i 0.913162 + 0.407597i \(0.133633\pi\)
−0.913162 + 0.407597i \(0.866367\pi\)
\(684\) −7.12400 7.33527i −0.272393 0.280471i
\(685\) 15.8690 14.2885i 0.606324 0.545937i
\(686\) 9.05983 + 12.4698i 0.345906 + 0.476099i
\(687\) −3.74559 4.00523i −0.142903 0.152809i
\(688\) 0.438627 + 0.253242i 0.0167225 + 0.00965474i
\(689\) 1.66703 0.175212i 0.0635087 0.00667503i
\(690\) −0.182103 + 0.430709i −0.00693255 + 0.0163968i
\(691\) −1.20982 + 11.5106i −0.0460236 + 0.437885i 0.947111 + 0.320907i \(0.103988\pi\)
−0.993134 + 0.116979i \(0.962679\pi\)
\(692\) 16.6426 + 14.9851i 0.632658 + 0.569648i
\(693\) −57.0221 + 2.15358i −2.16609 + 0.0818079i
\(694\) 3.42620 16.1190i 0.130057 0.611868i
\(695\) −10.2028 + 2.16866i −0.387013 + 0.0822621i
\(696\) 4.77883 3.61177i 0.181141 0.136904i
\(697\) −0.770321 0.250293i −0.0291780 0.00948051i
\(698\) 28.3192 + 9.20146i 1.07190 + 0.348280i
\(699\) 5.71591 4.32000i 0.216196 0.163397i
\(700\) −2.90262 + 0.616970i −0.109709 + 0.0233193i
\(701\) 2.04055 9.60001i 0.0770703 0.362587i −0.922665 0.385603i \(-0.873993\pi\)
0.999735 + 0.0230156i \(0.00732675\pi\)
\(702\) −0.350619 1.28656i −0.0132332 0.0485579i
\(703\) −7.56225 6.80908i −0.285216 0.256809i
\(704\) 0.670010 6.37472i 0.0252519 0.240256i
\(705\) −8.25929 + 19.5348i −0.311063 + 0.735724i
\(706\) −25.8672 + 2.71875i −0.973525 + 0.102322i
\(707\) −1.02046 0.589161i −0.0383782 0.0221577i
\(708\) 2.04063 + 2.18208i 0.0766916 + 0.0820076i
\(709\) 12.4227 + 17.0983i 0.466543 + 0.642141i 0.975849 0.218444i \(-0.0700982\pi\)
−0.509307 + 0.860585i \(0.670098\pi\)
\(710\) 2.38034 2.14327i 0.0893326 0.0804354i
\(711\) −33.7022 + 32.7315i −1.26393 + 1.22753i
\(712\) 7.95065i 0.297963i
\(713\) 1.06743 + 1.05840i 0.0399755 + 0.0396373i
\(714\) 0.705472 0.163928i 0.0264016 0.00613484i
\(715\) −0.508314 1.56443i −0.0190099 0.0585064i
\(716\) 15.7320 + 17.4721i 0.587932 + 0.652965i
\(717\) 10.9388 + 9.48165i 0.408516 + 0.354099i
\(718\) 1.30634 + 2.26264i 0.0487520 + 0.0844409i
\(719\) 23.8175 41.2531i 0.888242 1.53848i 0.0462892 0.998928i \(-0.485260\pi\)
0.841952 0.539552i \(-0.181406\pi\)
\(720\) −2.53961 + 1.59698i −0.0946458 + 0.0595161i
\(721\) 24.5983 + 17.8717i 0.916089 + 0.665578i
\(722\) 7.34204 + 0.771679i 0.273242 + 0.0287189i
\(723\) −8.88460 + 16.0821i −0.330422 + 0.598100i
\(724\) 1.82535 4.09981i 0.0678387 0.152368i
\(725\) −3.38285 0.719047i −0.125636 0.0267047i
\(726\) −47.1967 + 22.0899i −1.75163 + 0.819834i
\(727\) −4.34575 + 1.93485i −0.161175 + 0.0717596i −0.485738 0.874104i \(-0.661449\pi\)
0.324564 + 0.945864i \(0.394783\pi\)
\(728\) 0.235326 0.724260i 0.00872178 0.0268429i
\(729\) 23.4970 + 13.3001i 0.870258 + 0.492596i
\(730\) 2.49424 + 5.60216i 0.0923160 + 0.207345i
\(731\) 0.0148387 + 0.0698108i 0.000548830 + 0.00258204i
\(732\) 17.9215 0.338305i 0.662398 0.0125041i
\(733\) 39.6919 + 17.6720i 1.46605 + 0.652729i 0.975763 0.218830i \(-0.0702241\pi\)
0.490290 + 0.871559i \(0.336891\pi\)
\(734\) −12.9240 + 14.3536i −0.477034 + 0.529799i
\(735\) 0.385593 + 3.10392i 0.0142228 + 0.114490i
\(736\) −0.158692 + 0.218421i −0.00584946 + 0.00805109i
\(737\) 3.44304 + 32.7583i 0.126826 + 1.20667i
\(738\) 1.15396 17.2052i 0.0424778 0.633332i
\(739\) −36.7939 + 21.2430i −1.35349 + 0.781436i −0.988736 0.149669i \(-0.952179\pi\)
−0.364751 + 0.931105i \(0.618846\pi\)
\(740\) −2.41534 + 1.75485i −0.0887897 + 0.0645095i
\(741\) −1.24227 0.867219i −0.0456360 0.0318581i
\(742\) −18.4339 + 5.98953i −0.676729 + 0.219882i
\(743\) −47.4483 −1.74071 −0.870354 0.492426i \(-0.836110\pi\)
−0.870354 + 0.492426i \(0.836110\pi\)
\(744\) 1.72841 + 9.48750i 0.0633668 + 0.347828i
\(745\) 3.32649 0.121873
\(746\) −4.85904 + 1.57880i −0.177902 + 0.0578038i
\(747\) 15.0581 + 6.03411i 0.550946 + 0.220777i
\(748\) 0.730731 0.530907i 0.0267182 0.0194119i
\(749\) −6.18508 + 3.57096i −0.225998 + 0.130480i
\(750\) 1.65709 + 0.504048i 0.0605082 + 0.0184052i
\(751\) −0.906080 8.62078i −0.0330633 0.314577i −0.998537 0.0540754i \(-0.982779\pi\)
0.965474 0.260501i \(-0.0838878\pi\)
\(752\) −7.19747 + 9.90647i −0.262465 + 0.361252i
\(753\) 11.7257 1.45666i 0.427308 0.0530835i
\(754\) 0.593872 0.659562i 0.0216275 0.0240198i
\(755\) 4.98084 + 2.21761i 0.181271 + 0.0807072i
\(756\) 7.05878 + 13.7088i 0.256725 + 0.498584i
\(757\) −7.35513 34.6031i −0.267327 1.25767i −0.882888 0.469584i \(-0.844404\pi\)
0.615561 0.788089i \(-0.288929\pi\)
\(758\) 5.93889 + 13.3390i 0.215710 + 0.484493i
\(759\) 2.98635 + 0.256995i 0.108398 + 0.00932832i
\(760\) −1.05327 + 3.24163i −0.0382061 + 0.117586i
\(761\) −17.3365 + 7.71872i −0.628448 + 0.279803i −0.696143 0.717903i \(-0.745102\pi\)
0.0676950 + 0.997706i \(0.478436\pi\)
\(762\) 14.4238 + 30.8176i 0.522520 + 1.11640i
\(763\) 45.5308 + 9.67786i 1.64832 + 0.350362i
\(764\) −6.65018 + 14.9366i −0.240595 + 0.540386i
\(765\) −0.406694 0.115367i −0.0147041 0.00417112i
\(766\) 24.9961 + 2.62720i 0.903147 + 0.0949246i
\(767\) 0.358113 + 0.260184i 0.0129307 + 0.00939471i
\(768\) −1.63688 + 0.566228i −0.0590659 + 0.0204320i
\(769\) −9.50285 + 16.4594i −0.342681 + 0.593542i −0.984930 0.172955i \(-0.944668\pi\)
0.642248 + 0.766497i \(0.278002\pi\)
\(770\) 9.51046 + 16.4726i 0.342733 + 0.593632i
\(771\) −9.62503 + 11.1042i −0.346637 + 0.399907i
\(772\) 8.17591 + 9.08027i 0.294258 + 0.326806i
\(773\) 9.32942 + 28.7130i 0.335556 + 1.03273i