Properties

Label 135.2.q.a.32.9
Level $135$
Weight $2$
Character 135.32
Analytic conductor $1.078$
Analytic rank $0$
Dimension $192$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 135 = 3^{3} \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 135.q (of order \(36\), degree \(12\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.07798042729\)
Analytic rank: \(0\)
Dimension: \(192\)
Relative dimension: \(16\) over \(\Q(\zeta_{36})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{36}]$

Embedding invariants

Embedding label 32.9
Character \(\chi\) \(=\) 135.32
Dual form 135.2.q.a.38.9

$q$-expansion

\(f(q)\) \(=\) \(q+(0.0504771 - 0.576956i) q^{2} +(-0.0483220 + 1.73138i) q^{3} +(1.63929 + 0.289050i) q^{4} +(-1.36881 + 1.76815i) q^{5} +(0.996489 + 0.115275i) q^{6} +(-1.94671 + 2.78018i) q^{7} +(0.549311 - 2.05006i) q^{8} +(-2.99533 - 0.167327i) q^{9} +O(q^{10})\) \(q+(0.0504771 - 0.576956i) q^{2} +(-0.0483220 + 1.73138i) q^{3} +(1.63929 + 0.289050i) q^{4} +(-1.36881 + 1.76815i) q^{5} +(0.996489 + 0.115275i) q^{6} +(-1.94671 + 2.78018i) q^{7} +(0.549311 - 2.05006i) q^{8} +(-2.99533 - 0.167327i) q^{9} +(0.951050 + 0.878996i) q^{10} +(1.55726 - 4.27854i) q^{11} +(-0.579668 + 2.82425i) q^{12} +(4.08225 - 0.357151i) q^{13} +(1.50578 + 1.26350i) q^{14} +(-2.99519 - 2.45537i) q^{15} +(1.97331 + 0.718227i) q^{16} +(0.0763360 + 0.284890i) q^{17} +(-0.247736 + 1.71973i) q^{18} +(4.26213 - 2.46074i) q^{19} +(-2.75496 + 2.50284i) q^{20} +(-4.71948 - 3.50482i) q^{21} +(-2.38992 - 1.11444i) q^{22} +(1.24198 - 0.869642i) q^{23} +(3.52287 + 1.05013i) q^{24} +(-1.25270 - 4.84053i) q^{25} -2.37331i q^{26} +(0.434446 - 5.17796i) q^{27} +(-3.99482 + 3.99482i) q^{28} +(-5.57542 + 4.67834i) q^{29} +(-1.56783 + 1.60415i) q^{30} +(0.591015 - 3.35181i) q^{31} +(2.30790 - 4.94931i) q^{32} +(7.33251 + 2.90295i) q^{33} +(0.168222 - 0.0296621i) q^{34} +(-2.25110 - 7.24762i) q^{35} +(-4.86183 - 1.14010i) q^{36} +(-4.81289 + 1.28961i) q^{37} +(-1.20460 - 2.58327i) q^{38} +(0.421100 + 7.08518i) q^{39} +(2.87290 + 3.77741i) q^{40} +(-2.42980 + 2.89573i) q^{41} +(-2.26035 + 2.54602i) q^{42} +(-8.63947 + 4.02865i) q^{43} +(3.78950 - 6.56361i) q^{44} +(4.39591 - 5.06715i) q^{45} +(-0.439054 - 0.760463i) q^{46} +(1.56969 + 1.09911i) q^{47} +(-1.33888 + 3.38184i) q^{48} +(-1.54562 - 4.24655i) q^{49} +(-2.85601 + 0.478417i) q^{50} +(-0.496940 + 0.118400i) q^{51} +(6.79521 + 0.594504i) q^{52} +(1.39575 + 1.39575i) q^{53} +(-2.96552 - 0.512025i) q^{54} +(5.43349 + 8.60998i) q^{55} +(4.63018 + 5.51804i) q^{56} +(4.05451 + 7.49825i) q^{57} +(2.41776 + 3.45292i) q^{58} +(9.34637 - 3.40180i) q^{59} +(-4.20024 - 4.89081i) q^{60} +(-0.249603 - 1.41557i) q^{61} +(-1.90402 - 0.510179i) q^{62} +(6.29622 - 8.00183i) q^{63} +(0.898191 + 0.518571i) q^{64} +(-4.95635 + 7.70691i) q^{65} +(2.04500 - 4.08400i) q^{66} +(-0.827744 - 9.46116i) q^{67} +(0.0427890 + 0.489081i) q^{68} +(1.44566 + 2.19235i) q^{69} +(-4.29518 + 0.932948i) q^{70} +(0.728237 + 0.420448i) q^{71} +(-1.98840 + 6.04868i) q^{72} +(-0.619776 - 0.166069i) q^{73} +(0.501107 + 2.84192i) q^{74} +(8.44132 - 1.93499i) q^{75} +(7.69812 - 2.80189i) q^{76} +(8.86359 + 12.6585i) q^{77} +(4.10909 + 0.114683i) q^{78} +(-9.56341 - 11.3972i) q^{79} +(-3.97103 + 2.50599i) q^{80} +(8.94400 + 1.00240i) q^{81} +(1.54806 + 1.54806i) q^{82} +(-9.49158 - 0.830405i) q^{83} +(-6.72350 - 7.10957i) q^{84} +(-0.608217 - 0.254987i) q^{85} +(1.88826 + 5.18795i) q^{86} +(-7.83055 - 9.87923i) q^{87} +(-7.91582 - 5.54271i) q^{88} +(6.19767 + 10.7347i) q^{89} +(-2.70163 - 2.79202i) q^{90} +(-6.95400 + 12.0447i) q^{91} +(2.28733 - 1.06660i) q^{92} +(5.77469 + 1.18524i) q^{93} +(0.713371 - 0.850162i) q^{94} +(-1.48310 + 10.9044i) q^{95} +(8.45759 + 4.23500i) q^{96} +(-1.91772 - 4.11255i) q^{97} +(-2.52809 + 0.677399i) q^{98} +(-5.38042 + 12.5551i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 192 q - 12 q^{2} - 12 q^{3} - 12 q^{5} - 36 q^{6} - 12 q^{7} - 18 q^{8} - 6 q^{10} - 36 q^{11} - 12 q^{12} - 12 q^{13} - 12 q^{15} - 24 q^{16} - 18 q^{17} - 54 q^{18} + 36 q^{20} - 24 q^{21} - 12 q^{22} - 36 q^{23} - 30 q^{25} - 36 q^{27} - 24 q^{28} + 60 q^{30} - 24 q^{31} - 48 q^{32} - 6 q^{33} + 36 q^{35} + 12 q^{36} - 6 q^{37} + 12 q^{38} - 36 q^{40} + 24 q^{41} - 24 q^{42} - 12 q^{43} + 18 q^{45} - 12 q^{46} - 6 q^{47} + 12 q^{48} + 36 q^{50} + 144 q^{51} + 12 q^{52} - 24 q^{55} + 180 q^{56} - 12 q^{57} - 12 q^{58} - 36 q^{60} - 60 q^{61} - 18 q^{62} - 54 q^{63} - 84 q^{65} + 72 q^{66} + 24 q^{67} - 60 q^{68} - 12 q^{70} - 36 q^{71} + 180 q^{72} - 6 q^{73} - 60 q^{75} - 72 q^{76} + 132 q^{77} + 78 q^{78} + 12 q^{81} - 24 q^{82} + 48 q^{83} - 12 q^{85} + 12 q^{86} + 144 q^{87} - 48 q^{88} + 48 q^{90} - 12 q^{91} + 258 q^{92} + 180 q^{93} + 18 q^{95} - 12 q^{96} + 24 q^{97} + 324 q^{98}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/135\mathbb{Z}\right)^\times\).

\(n\) \(56\) \(82\)
\(\chi(n)\) \(e\left(\frac{5}{18}\right)\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.0504771 0.576956i 0.0356927 0.407969i −0.957240 0.289294i \(-0.906580\pi\)
0.992933 0.118676i \(-0.0378649\pi\)
\(3\) −0.0483220 + 1.73138i −0.0278987 + 0.999611i
\(4\) 1.63929 + 0.289050i 0.819643 + 0.144525i
\(5\) −1.36881 + 1.76815i −0.612152 + 0.790740i
\(6\) 0.996489 + 0.115275i 0.406815 + 0.0470606i
\(7\) −1.94671 + 2.78018i −0.735785 + 1.05081i 0.260565 + 0.965456i \(0.416091\pi\)
−0.996351 + 0.0853543i \(0.972798\pi\)
\(8\) 0.549311 2.05006i 0.194211 0.724804i
\(9\) −2.99533 0.167327i −0.998443 0.0557757i
\(10\) 0.951050 + 0.878996i 0.300748 + 0.277963i
\(11\) 1.55726 4.27854i 0.469531 1.29003i −0.448594 0.893736i \(-0.648075\pi\)
0.918125 0.396291i \(-0.129703\pi\)
\(12\) −0.579668 + 2.82425i −0.167336 + 0.815292i
\(13\) 4.08225 0.357151i 1.13221 0.0990558i 0.494391 0.869239i \(-0.335391\pi\)
0.637822 + 0.770184i \(0.279835\pi\)
\(14\) 1.50578 + 1.26350i 0.402436 + 0.337684i
\(15\) −2.99519 2.45537i −0.773354 0.633974i
\(16\) 1.97331 + 0.718227i 0.493328 + 0.179557i
\(17\) 0.0763360 + 0.284890i 0.0185142 + 0.0690959i 0.974565 0.224105i \(-0.0719460\pi\)
−0.956051 + 0.293201i \(0.905279\pi\)
\(18\) −0.247736 + 1.71973i −0.0583919 + 0.405344i
\(19\) 4.26213 2.46074i 0.977799 0.564532i 0.0761939 0.997093i \(-0.475723\pi\)
0.901605 + 0.432561i \(0.142390\pi\)
\(20\) −2.75496 + 2.50284i −0.616028 + 0.559653i
\(21\) −4.71948 3.50482i −1.02987 0.764815i
\(22\) −2.38992 1.11444i −0.509533 0.237599i
\(23\) 1.24198 0.869642i 0.258970 0.181333i −0.436880 0.899520i \(-0.643917\pi\)
0.695850 + 0.718187i \(0.255028\pi\)
\(24\) 3.52287 + 1.05013i 0.719104 + 0.214356i
\(25\) −1.25270 4.84053i −0.250540 0.968106i
\(26\) 2.37331i 0.465444i
\(27\) 0.434446 5.17796i 0.0836092 0.996499i
\(28\) −3.99482 + 3.99482i −0.754950 + 0.754950i
\(29\) −5.57542 + 4.67834i −1.03533 + 0.868745i −0.991476 0.130293i \(-0.958408\pi\)
−0.0438548 + 0.999038i \(0.513964\pi\)
\(30\) −1.56783 + 1.60415i −0.286245 + 0.292877i
\(31\) 0.591015 3.35181i 0.106149 0.602003i −0.884606 0.466340i \(-0.845572\pi\)
0.990755 0.135663i \(-0.0433165\pi\)
\(32\) 2.30790 4.94931i 0.407983 0.874922i
\(33\) 7.33251 + 2.90295i 1.27643 + 0.505339i
\(34\) 0.168222 0.0296621i 0.0288498 0.00508701i
\(35\) −2.25110 7.24762i −0.380506 1.22507i
\(36\) −4.86183 1.14010i −0.810306 0.190016i
\(37\) −4.81289 + 1.28961i −0.791234 + 0.212011i −0.631732 0.775187i \(-0.717656\pi\)
−0.159502 + 0.987198i \(0.550989\pi\)
\(38\) −1.20460 2.58327i −0.195412 0.419062i
\(39\) 0.421100 + 7.08518i 0.0674300 + 1.13454i
\(40\) 2.87290 + 3.77741i 0.454245 + 0.597260i
\(41\) −2.42980 + 2.89573i −0.379472 + 0.452237i −0.921647 0.388028i \(-0.873156\pi\)
0.542176 + 0.840265i \(0.317601\pi\)
\(42\) −2.26035 + 2.54602i −0.348780 + 0.392859i
\(43\) −8.63947 + 4.02865i −1.31751 + 0.614364i −0.949004 0.315263i \(-0.897907\pi\)
−0.368503 + 0.929627i \(0.620129\pi\)
\(44\) 3.78950 6.56361i 0.571289 0.989502i
\(45\) 4.39591 5.06715i 0.655303 0.755366i
\(46\) −0.439054 0.760463i −0.0647349 0.112124i
\(47\) 1.56969 + 1.09911i 0.228963 + 0.160322i 0.682429 0.730952i \(-0.260924\pi\)
−0.453466 + 0.891274i \(0.649813\pi\)
\(48\) −1.33888 + 3.38184i −0.193250 + 0.488126i
\(49\) −1.54562 4.24655i −0.220802 0.606650i
\(50\) −2.85601 + 0.478417i −0.403900 + 0.0676584i
\(51\) −0.496940 + 0.118400i −0.0695855 + 0.0165793i
\(52\) 6.79521 + 0.594504i 0.942327 + 0.0824429i
\(53\) 1.39575 + 1.39575i 0.191721 + 0.191721i 0.796439 0.604719i \(-0.206714\pi\)
−0.604719 + 0.796439i \(0.706714\pi\)
\(54\) −2.96552 0.512025i −0.403557 0.0696777i
\(55\) 5.43349 + 8.60998i 0.732652 + 1.16097i
\(56\) 4.63018 + 5.51804i 0.618734 + 0.737379i
\(57\) 4.05451 + 7.49825i 0.537033 + 0.993168i
\(58\) 2.41776 + 3.45292i 0.317468 + 0.453391i
\(59\) 9.34637 3.40180i 1.21679 0.442877i 0.347738 0.937592i \(-0.386950\pi\)
0.869055 + 0.494715i \(0.164728\pi\)
\(60\) −4.20024 4.89081i −0.542249 0.631401i
\(61\) −0.249603 1.41557i −0.0319584 0.181245i 0.964650 0.263534i \(-0.0848881\pi\)
−0.996609 + 0.0822889i \(0.973777\pi\)
\(62\) −1.90402 0.510179i −0.241810 0.0647928i
\(63\) 6.29622 8.00183i 0.793250 1.00814i
\(64\) 0.898191 + 0.518571i 0.112274 + 0.0648214i
\(65\) −4.95635 + 7.70691i −0.614759 + 0.955924i
\(66\) 2.04500 4.08400i 0.251722 0.502706i
\(67\) −0.827744 9.46116i −0.101125 1.15586i −0.861980 0.506943i \(-0.830776\pi\)
0.760855 0.648922i \(-0.224780\pi\)
\(68\) 0.0427890 + 0.489081i 0.00518893 + 0.0593097i
\(69\) 1.44566 + 2.19235i 0.174037 + 0.263928i
\(70\) −4.29518 + 0.932948i −0.513373 + 0.111509i
\(71\) 0.728237 + 0.420448i 0.0864258 + 0.0498980i 0.542590 0.839998i \(-0.317444\pi\)
−0.456164 + 0.889896i \(0.650777\pi\)
\(72\) −1.98840 + 6.04868i −0.234335 + 0.712844i
\(73\) −0.619776 0.166069i −0.0725393 0.0194369i 0.222367 0.974963i \(-0.428622\pi\)
−0.294906 + 0.955526i \(0.595288\pi\)
\(74\) 0.501107 + 2.84192i 0.0582526 + 0.330367i
\(75\) 8.44132 1.93499i 0.974719 0.223434i
\(76\) 7.69812 2.80189i 0.883035 0.321398i
\(77\) 8.86359 + 12.6585i 1.01010 + 1.44257i
\(78\) 4.10909 + 0.114683i 0.465263 + 0.0129853i
\(79\) −9.56341 11.3972i −1.07597 1.28229i −0.957219 0.289364i \(-0.906556\pi\)
−0.118748 0.992924i \(-0.537888\pi\)
\(80\) −3.97103 + 2.50599i −0.443974 + 0.280178i
\(81\) 8.94400 + 1.00240i 0.993778 + 0.111378i
\(82\) 1.54806 + 1.54806i 0.170954 + 0.170954i
\(83\) −9.49158 0.830405i −1.04184 0.0911488i −0.446627 0.894720i \(-0.647375\pi\)
−0.595209 + 0.803571i \(0.702931\pi\)
\(84\) −6.72350 7.10957i −0.733594 0.775718i
\(85\) −0.608217 0.254987i −0.0659704 0.0276573i
\(86\) 1.88826 + 5.18795i 0.203616 + 0.559431i
\(87\) −7.83055 9.87923i −0.839523 1.05916i
\(88\) −7.91582 5.54271i −0.843829 0.590855i
\(89\) 6.19767 + 10.7347i 0.656952 + 1.13787i 0.981401 + 0.191971i \(0.0614880\pi\)
−0.324448 + 0.945903i \(0.605179\pi\)
\(90\) −2.70163 2.79202i −0.284777 0.294305i
\(91\) −6.95400 + 12.0447i −0.728977 + 1.26263i
\(92\) 2.28733 1.06660i 0.238470 0.111200i
\(93\) 5.77469 + 1.18524i 0.598807 + 0.122903i
\(94\) 0.713371 0.850162i 0.0735786 0.0876876i
\(95\) −1.48310 + 10.9044i −0.152163 + 1.11876i
\(96\) 8.45759 + 4.23500i 0.863200 + 0.432233i
\(97\) −1.91772 4.11255i −0.194715 0.417567i 0.784574 0.620035i \(-0.212882\pi\)
−0.979289 + 0.202468i \(0.935104\pi\)
\(98\) −2.52809 + 0.677399i −0.255376 + 0.0684277i
\(99\) −5.38042 + 12.5551i −0.540753 + 1.26183i
\(100\) −0.654378 8.29710i −0.0654378 0.829710i
\(101\) −8.64670 + 1.52465i −0.860378 + 0.151708i −0.586394 0.810026i \(-0.699453\pi\)
−0.273985 + 0.961734i \(0.588342\pi\)
\(102\) 0.0432274 + 0.292689i 0.00428015 + 0.0289805i
\(103\) −1.30021 + 2.78831i −0.128114 + 0.274741i −0.959893 0.280365i \(-0.909544\pi\)
0.831780 + 0.555106i \(0.187322\pi\)
\(104\) 1.51025 8.56503i 0.148092 0.839871i
\(105\) 12.6571 3.54729i 1.23521 0.346180i
\(106\) 0.875738 0.734831i 0.0850592 0.0713731i
\(107\) 0.840083 0.840083i 0.0812138 0.0812138i −0.665333 0.746547i \(-0.731710\pi\)
0.746547 + 0.665333i \(0.231710\pi\)
\(108\) 2.20887 8.36257i 0.212549 0.804689i
\(109\) 15.3404i 1.46935i 0.678422 + 0.734673i \(0.262664\pi\)
−0.678422 + 0.734673i \(0.737336\pi\)
\(110\) 5.24185 2.70028i 0.499790 0.257461i
\(111\) −2.00023 8.39524i −0.189854 0.796841i
\(112\) −5.83826 + 4.08799i −0.551664 + 0.386279i
\(113\) −3.37688 1.57466i −0.317670 0.148132i 0.257242 0.966347i \(-0.417186\pi\)
−0.574912 + 0.818215i \(0.694964\pi\)
\(114\) 4.53082 1.96078i 0.424350 0.183644i
\(115\) −0.162379 + 3.38638i −0.0151419 + 0.315781i
\(116\) −10.4920 + 6.05755i −0.974156 + 0.562429i
\(117\) −12.2875 + 0.386714i −1.13598 + 0.0357517i
\(118\) −1.49091 5.56415i −0.137249 0.512222i
\(119\) −0.940649 0.342368i −0.0862292 0.0313849i
\(120\) −6.67894 + 4.79154i −0.609701 + 0.437406i
\(121\) −7.45432 6.25492i −0.677665 0.568629i
\(122\) −0.829320 + 0.0725561i −0.0750831 + 0.00656892i
\(123\) −4.89618 4.34683i −0.441474 0.391941i
\(124\) 1.93768 5.32374i 0.174009 0.478086i
\(125\) 10.2735 + 4.41082i 0.918889 + 0.394516i
\(126\) −4.29889 4.03655i −0.382975 0.359605i
\(127\) 4.56996 17.0553i 0.405518 1.51342i −0.397579 0.917568i \(-0.630150\pi\)
0.803098 0.595847i \(-0.203184\pi\)
\(128\) 6.60908 9.43875i 0.584166 0.834275i
\(129\) −6.55764 15.1529i −0.577368 1.33413i
\(130\) 4.19636 + 3.24862i 0.368045 + 0.284922i
\(131\) −4.36693 0.770008i −0.381540 0.0672759i −0.0204113 0.999792i \(-0.506498\pi\)
−0.361129 + 0.932516i \(0.617609\pi\)
\(132\) 11.1810 + 6.87823i 0.973179 + 0.598673i
\(133\) −1.45580 + 16.6398i −0.126234 + 1.44286i
\(134\) −5.50045 −0.475167
\(135\) 8.56073 + 7.85582i 0.736790 + 0.676122i
\(136\) 0.625972 0.0536767
\(137\) 1.49772 17.1191i 0.127959 1.46258i −0.612495 0.790474i \(-0.709834\pi\)
0.740454 0.672107i \(-0.234610\pi\)
\(138\) 1.33786 0.723420i 0.113887 0.0615816i
\(139\) −3.49278 0.615871i −0.296254 0.0522375i 0.0235459 0.999723i \(-0.492504\pi\)
−0.319799 + 0.947485i \(0.603616\pi\)
\(140\) −1.59527 12.5316i −0.134825 1.05911i
\(141\) −1.97882 + 2.66461i −0.166647 + 0.224401i
\(142\) 0.279339 0.398938i 0.0234416 0.0334781i
\(143\) 4.82905 18.0222i 0.403825 1.50710i
\(144\) −5.79054 2.48151i −0.482545 0.206793i
\(145\) −0.640281 16.2619i −0.0531725 1.35048i
\(146\) −0.127099 + 0.349201i −0.0105188 + 0.0289001i
\(147\) 7.42706 2.47084i 0.612574 0.203792i
\(148\) −8.26246 + 0.722872i −0.679170 + 0.0594197i
\(149\) 2.74544 + 2.30369i 0.224915 + 0.188726i 0.748281 0.663382i \(-0.230880\pi\)
−0.523366 + 0.852108i \(0.675324\pi\)
\(150\) −0.690313 4.96794i −0.0563638 0.405631i
\(151\) 18.4206 + 6.70454i 1.49904 + 0.545607i 0.955813 0.293976i \(-0.0949785\pi\)
0.543231 + 0.839583i \(0.317201\pi\)
\(152\) −2.70342 10.0893i −0.219276 0.818351i
\(153\) −0.180982 0.866112i −0.0146315 0.0700210i
\(154\) 7.75081 4.47493i 0.624578 0.360600i
\(155\) 5.11751 + 5.63301i 0.411049 + 0.452454i
\(156\) −1.35767 + 11.7363i −0.108700 + 0.939660i
\(157\) 0.512939 + 0.239187i 0.0409370 + 0.0190892i 0.442979 0.896532i \(-0.353922\pi\)
−0.402042 + 0.915621i \(0.631699\pi\)
\(158\) −7.05843 + 4.94237i −0.561538 + 0.393193i
\(159\) −2.48401 + 2.34912i −0.196995 + 0.186297i
\(160\) 5.59203 + 10.8554i 0.442089 + 0.858194i
\(161\) 5.14586i 0.405551i
\(162\) 1.02981 5.10970i 0.0809093 0.401456i
\(163\) 3.48997 3.48997i 0.273355 0.273355i −0.557094 0.830449i \(-0.688084\pi\)
0.830449 + 0.557094i \(0.188084\pi\)
\(164\) −4.82015 + 4.04459i −0.376391 + 0.315829i
\(165\) −15.1697 + 8.99137i −1.18096 + 0.699977i
\(166\) −0.958215 + 5.43431i −0.0743719 + 0.421784i
\(167\) −6.19404 + 13.2832i −0.479309 + 1.02788i 0.506843 + 0.862039i \(0.330812\pi\)
−0.986152 + 0.165844i \(0.946965\pi\)
\(168\) −9.77754 + 7.74995i −0.754354 + 0.597922i
\(169\) 3.73474 0.658535i 0.287288 0.0506566i
\(170\) −0.177818 + 0.338044i −0.0136380 + 0.0259268i
\(171\) −13.1782 + 6.65756i −1.00776 + 0.509116i
\(172\) −15.3270 + 4.10687i −1.16868 + 0.313146i
\(173\) 3.96050 + 8.49331i 0.301111 + 0.645735i 0.997403 0.0720241i \(-0.0229458\pi\)
−0.696292 + 0.717759i \(0.745168\pi\)
\(174\) −6.09514 + 4.01921i −0.462071 + 0.304695i
\(175\) 15.8962 + 5.94035i 1.20164 + 0.449048i
\(176\) 6.14592 7.32442i 0.463266 0.552099i
\(177\) 5.43816 + 16.3465i 0.408757 + 1.22868i
\(178\) 6.50628 3.03393i 0.487666 0.227403i
\(179\) −10.1322 + 17.5496i −0.757320 + 1.31172i 0.186893 + 0.982380i \(0.440158\pi\)
−0.944213 + 0.329336i \(0.893175\pi\)
\(180\) 8.67081 7.03587i 0.646284 0.524423i
\(181\) 5.71685 + 9.90188i 0.424930 + 0.736001i 0.996414 0.0846126i \(-0.0269653\pi\)
−0.571484 + 0.820613i \(0.693632\pi\)
\(182\) 6.59823 + 4.62013i 0.489094 + 0.342467i
\(183\) 2.46294 0.363754i 0.182066 0.0268894i
\(184\) −1.10058 3.02383i −0.0811361 0.222920i
\(185\) 4.30773 10.2751i 0.316710 0.755444i
\(186\) 0.975318 3.27191i 0.0715138 0.239908i
\(187\) 1.33779 + 0.117041i 0.0978286 + 0.00855889i
\(188\) 2.25547 + 2.25547i 0.164497 + 0.164497i
\(189\) 13.5499 + 11.2878i 0.985613 + 0.821067i
\(190\) 6.21648 + 1.40610i 0.450991 + 0.102010i
\(191\) −3.38340 4.03218i −0.244814 0.291758i 0.629619 0.776904i \(-0.283211\pi\)
−0.874433 + 0.485146i \(0.838767\pi\)
\(192\) −0.941244 + 1.53005i −0.0679284 + 0.110422i
\(193\) −6.24034 8.91213i −0.449189 0.641509i 0.529147 0.848530i \(-0.322512\pi\)
−0.978336 + 0.207021i \(0.933623\pi\)
\(194\) −2.46956 + 0.898848i −0.177304 + 0.0645335i
\(195\) −13.1041 8.95372i −0.938401 0.641189i
\(196\) −1.30624 7.40806i −0.0933030 0.529147i
\(197\) 9.02182 + 2.41739i 0.642778 + 0.172232i 0.565461 0.824775i \(-0.308698\pi\)
0.0773166 + 0.997007i \(0.475365\pi\)
\(198\) 6.97212 + 3.73801i 0.495487 + 0.265649i
\(199\) −10.1326 5.85008i −0.718284 0.414701i 0.0958368 0.995397i \(-0.469447\pi\)
−0.814121 + 0.580696i \(0.802781\pi\)
\(200\) −10.6115 0.0908488i −0.750345 0.00642398i
\(201\) 16.4208 0.975955i 1.15824 0.0688386i
\(202\) 0.443193 + 5.06572i 0.0311830 + 0.356423i
\(203\) −2.15293 24.6080i −0.151106 1.72715i
\(204\) −0.848850 + 0.0504506i −0.0594314 + 0.00353225i
\(205\) −1.79413 8.25997i −0.125308 0.576901i
\(206\) 1.54310 + 0.890911i 0.107513 + 0.0620727i
\(207\) −3.86565 + 2.39705i −0.268681 + 0.166606i
\(208\) 8.31207 + 2.22721i 0.576339 + 0.154429i
\(209\) −3.89112 22.0677i −0.269155 1.52645i
\(210\) −1.40773 7.48166i −0.0971428 0.516284i
\(211\) −13.7093 + 4.98977i −0.943786 + 0.343510i −0.767660 0.640858i \(-0.778579\pi\)
−0.176126 + 0.984368i \(0.556357\pi\)
\(212\) 1.88459 + 2.69147i 0.129434 + 0.184851i
\(213\) −0.763143 + 1.24054i −0.0522897 + 0.0850001i
\(214\) −0.442286 0.527096i −0.0302340 0.0360315i
\(215\) 4.70257 20.7903i 0.320712 1.41789i
\(216\) −10.3765 3.73495i −0.706029 0.254131i
\(217\) 8.16812 + 8.16812i 0.554488 + 0.554488i
\(218\) 8.85074 + 0.774340i 0.599448 + 0.0524449i
\(219\) 0.317476 1.06504i 0.0214530 0.0719688i
\(220\) 6.41832 + 15.6848i 0.432723 + 1.05747i
\(221\) 0.413372 + 1.13573i 0.0278064 + 0.0763974i
\(222\) −4.94465 + 0.730279i −0.331863 + 0.0490131i
\(223\) 16.9444 + 11.8646i 1.13468 + 0.794514i 0.981077 0.193618i \(-0.0620222\pi\)
0.153607 + 0.988132i \(0.450911\pi\)
\(224\) 9.26718 + 16.0512i 0.619190 + 1.07247i
\(225\) 2.94230 + 14.7086i 0.196153 + 0.980573i
\(226\) −1.07897 + 1.86883i −0.0717718 + 0.124312i
\(227\) 8.95104 4.17394i 0.594101 0.277034i −0.102223 0.994762i \(-0.532595\pi\)
0.696324 + 0.717728i \(0.254818\pi\)
\(228\) 4.47913 + 13.4637i 0.296638 + 0.891658i
\(229\) −17.3346 + 20.6585i −1.14550 + 1.36515i −0.225024 + 0.974353i \(0.572246\pi\)
−0.920475 + 0.390800i \(0.872198\pi\)
\(230\) 1.94560 + 0.264620i 0.128289 + 0.0174485i
\(231\) −22.3450 + 14.7345i −1.47019 + 0.969460i
\(232\) 6.52821 + 13.9998i 0.428598 + 0.919131i
\(233\) −6.23657 + 1.67108i −0.408571 + 0.109476i −0.457250 0.889338i \(-0.651166\pi\)
0.0486789 + 0.998814i \(0.484499\pi\)
\(234\) −0.397119 + 7.10884i −0.0259605 + 0.464720i
\(235\) −4.09200 + 1.27097i −0.266933 + 0.0829090i
\(236\) 16.3047 2.87495i 1.06134 0.187143i
\(237\) 20.1950 16.0071i 1.31181 1.03977i
\(238\) −0.245013 + 0.525432i −0.0158818 + 0.0340587i
\(239\) 2.94647 16.7103i 0.190591 1.08090i −0.727967 0.685612i \(-0.759535\pi\)
0.918558 0.395286i \(-0.129354\pi\)
\(240\) −4.14693 6.99644i −0.267683 0.451618i
\(241\) −3.88280 + 3.25805i −0.250113 + 0.209870i −0.759221 0.650833i \(-0.774420\pi\)
0.509108 + 0.860703i \(0.329975\pi\)
\(242\) −3.98508 + 3.98508i −0.256171 + 0.256171i
\(243\) −2.16772 + 15.4370i −0.139059 + 0.990284i
\(244\) 2.39267i 0.153175i
\(245\) 9.62419 + 3.07985i 0.614867 + 0.196764i
\(246\) −2.75508 + 2.60547i −0.175657 + 0.166118i
\(247\) 16.5202 11.5676i 1.05116 0.736028i
\(248\) −6.54675 3.05280i −0.415719 0.193853i
\(249\) 1.89640 16.3934i 0.120179 1.03889i
\(250\) 3.06343 5.70471i 0.193748 0.360797i
\(251\) −7.62764 + 4.40382i −0.481452 + 0.277967i −0.721022 0.692913i \(-0.756327\pi\)
0.239569 + 0.970879i \(0.422994\pi\)
\(252\) 12.6342 11.2974i 0.795882 0.711667i
\(253\) −1.78671 6.66810i −0.112330 0.419220i
\(254\) −9.60949 3.49757i −0.602953 0.219457i
\(255\) 0.470870 1.04073i 0.0294870 0.0651731i
\(256\) −3.52314 2.95627i −0.220196 0.184767i
\(257\) −25.9222 + 2.26790i −1.61698 + 0.141468i −0.859411 0.511286i \(-0.829169\pi\)
−0.757571 + 0.652753i \(0.773614\pi\)
\(258\) −9.07354 + 3.01860i −0.564894 + 0.187930i
\(259\) 5.78393 15.8912i 0.359396 0.987432i
\(260\) −10.3525 + 11.2012i −0.642038 + 0.694668i
\(261\) 17.4830 13.0802i 1.08217 0.809647i
\(262\) −0.664690 + 2.48066i −0.0410647 + 0.153256i
\(263\) −3.31084 + 4.72837i −0.204155 + 0.291564i −0.908153 0.418638i \(-0.862507\pi\)
0.703998 + 0.710202i \(0.251396\pi\)
\(264\) 9.97903 13.4374i 0.614167 0.827016i
\(265\) −4.37840 + 0.557372i −0.268963 + 0.0342391i
\(266\) 9.52696 + 1.67986i 0.584136 + 0.102999i
\(267\) −18.8853 + 10.2118i −1.15576 + 0.624951i
\(268\) 1.37784 15.7488i 0.0841651 0.962011i
\(269\) 21.3254 1.30023 0.650116 0.759835i \(-0.274720\pi\)
0.650116 + 0.759835i \(0.274720\pi\)
\(270\) 4.96458 4.54262i 0.302135 0.276455i
\(271\) 13.8664 0.842325 0.421162 0.906985i \(-0.361622\pi\)
0.421162 + 0.906985i \(0.361622\pi\)
\(272\) −0.0539808 + 0.617003i −0.00327306 + 0.0374113i
\(273\) −20.5178 12.6220i −1.24180 0.763919i
\(274\) −9.80135 1.72824i −0.592121 0.104407i
\(275\) −22.6612 2.17824i −1.36652 0.131353i
\(276\) 1.73615 + 4.01176i 0.104504 + 0.241480i
\(277\) 2.37923 3.39790i 0.142954 0.204160i −0.741290 0.671185i \(-0.765785\pi\)
0.884244 + 0.467025i \(0.154674\pi\)
\(278\) −0.531636 + 1.98409i −0.0318854 + 0.118998i
\(279\) −2.33113 + 9.94089i −0.139561 + 0.595146i
\(280\) −16.0946 + 0.633691i −0.961835 + 0.0378703i
\(281\) 4.59659 12.6290i 0.274210 0.753385i −0.723781 0.690029i \(-0.757598\pi\)
0.997991 0.0633553i \(-0.0201801\pi\)
\(282\) 1.43748 + 1.27620i 0.0856007 + 0.0759963i
\(283\) 11.6017 1.01502i 0.689651 0.0603367i 0.263058 0.964780i \(-0.415269\pi\)
0.426594 + 0.904443i \(0.359713\pi\)
\(284\) 1.07226 + 0.899731i 0.0636268 + 0.0533892i
\(285\) −18.8079 3.09473i −1.11408 0.183316i
\(286\) −10.1543 3.69586i −0.600435 0.218541i
\(287\) −3.32054 12.3924i −0.196005 0.731502i
\(288\) −7.74108 + 14.4386i −0.456147 + 0.850805i
\(289\) 14.6471 8.45651i 0.861594 0.497441i
\(290\) −9.41475 0.451442i −0.552853 0.0265096i
\(291\) 7.21305 3.12156i 0.422836 0.182989i
\(292\) −0.967988 0.451380i −0.0566472 0.0264150i
\(293\) −21.6004 + 15.1248i −1.26191 + 0.883598i −0.996746 0.0806060i \(-0.974314\pi\)
−0.265162 + 0.964204i \(0.585426\pi\)
\(294\) −1.05067 4.40981i −0.0612764 0.257185i
\(295\) −6.77854 + 21.1822i −0.394662 + 1.23328i
\(296\) 10.5751i 0.614665i
\(297\) −21.4775 9.92222i −1.24625 0.575746i
\(298\) 1.46771 1.46771i 0.0850222 0.0850222i
\(299\) 4.75947 3.99367i 0.275248 0.230960i
\(300\) 14.3970 0.732042i 0.831213 0.0422645i
\(301\) 5.61812 31.8619i 0.323823 1.83649i
\(302\) 4.79804 10.2894i 0.276096 0.592090i
\(303\) −2.22191 15.0444i −0.127645 0.864276i
\(304\) 10.1779 1.79463i 0.583741 0.102929i
\(305\) 2.84460 + 1.49631i 0.162881 + 0.0856787i
\(306\) −0.508844 + 0.0606996i −0.0290887 + 0.00346997i
\(307\) −17.5249 + 4.69578i −1.00020 + 0.268003i −0.721529 0.692384i \(-0.756560\pi\)
−0.278670 + 0.960387i \(0.589894\pi\)
\(308\) 10.8710 + 23.3129i 0.619433 + 1.32838i
\(309\) −4.76479 2.38589i −0.271059 0.135729i
\(310\) 3.50831 2.66824i 0.199259 0.151546i
\(311\) 11.0997 13.2281i 0.629405 0.750095i −0.353252 0.935528i \(-0.614924\pi\)
0.982657 + 0.185433i \(0.0593687\pi\)
\(312\) 14.7563 + 3.02869i 0.835412 + 0.171466i
\(313\) −13.5478 + 6.31743i −0.765766 + 0.357082i −0.765935 0.642918i \(-0.777724\pi\)
0.000169586 1.00000i \(0.499946\pi\)
\(314\) 0.163892 0.283870i 0.00924897 0.0160197i
\(315\) 5.53007 + 22.0857i 0.311584 + 1.24439i
\(316\) −12.3828 21.4476i −0.696586 1.20652i
\(317\) −12.7157 8.90361i −0.714183 0.500077i 0.159116 0.987260i \(-0.449135\pi\)
−0.873300 + 0.487183i \(0.838024\pi\)
\(318\) 1.22995 + 1.55174i 0.0689723 + 0.0870173i
\(319\) 11.3340 + 31.1400i 0.634585 + 1.74351i
\(320\) −2.14637 + 0.878309i −0.119986 + 0.0490990i
\(321\) 1.41390 + 1.49509i 0.0789165 + 0.0834480i
\(322\) 2.96894 + 0.259748i 0.165452 + 0.0144752i
\(323\) 1.02639 + 1.02639i 0.0571100 + 0.0571100i
\(324\) 14.3720 + 4.22848i 0.798446 + 0.234916i
\(325\) −6.84264 19.3129i −0.379562 1.07129i
\(326\) −1.83739 2.18972i −0.101764 0.121277i
\(327\) −26.5600 0.741279i −1.46877 0.0409928i
\(328\) 4.60169 + 6.57189i 0.254086 + 0.362872i
\(329\) −6.11145 + 2.22439i −0.336935 + 0.122634i
\(330\) 4.42190 + 9.20609i 0.243418 + 0.506779i
\(331\) 0.733175 + 4.15804i 0.0402990 + 0.228547i 0.998305 0.0582018i \(-0.0185367\pi\)
−0.958006 + 0.286749i \(0.907426\pi\)
\(332\) −15.3194 4.10481i −0.840760 0.225281i
\(333\) 14.6320 3.05748i 0.801828 0.167549i
\(334\) 7.35114 + 4.24418i 0.402237 + 0.232231i
\(335\) 17.8618 + 11.4870i 0.975893 + 0.627601i
\(336\) −6.79574 10.3058i −0.370738 0.562225i
\(337\) −0.422715 4.83165i −0.0230267 0.263197i −0.998978 0.0452064i \(-0.985605\pi\)
0.975951 0.217990i \(-0.0699501\pi\)
\(338\) −0.191427 2.18802i −0.0104123 0.119013i
\(339\) 2.88951 5.77056i 0.156937 0.313414i
\(340\) −0.923337 0.593803i −0.0500750 0.0322035i
\(341\) −13.4205 7.74832i −0.726760 0.419595i
\(342\) 3.17592 + 7.93931i 0.171734 + 0.429309i
\(343\) −8.13327 2.17930i −0.439155 0.117671i
\(344\) 3.51321 + 19.9244i 0.189419 + 1.07425i
\(345\) −5.85525 0.444775i −0.315236 0.0239459i
\(346\) 5.10018 1.85631i 0.274187 0.0997961i
\(347\) 10.7229 + 15.3139i 0.575635 + 0.822092i 0.996373 0.0850901i \(-0.0271178\pi\)
−0.420738 + 0.907182i \(0.638229\pi\)
\(348\) −9.98091 18.4583i −0.535033 0.989468i
\(349\) 5.80311 + 6.91588i 0.310634 + 0.370199i 0.898662 0.438641i \(-0.144540\pi\)
−0.588029 + 0.808840i \(0.700096\pi\)
\(350\) 4.22971 8.87156i 0.226088 0.474205i
\(351\) −0.0757929 21.2929i −0.00404552 1.13653i
\(352\) −17.5818 17.5818i −0.937112 0.937112i
\(353\) 34.3010 + 3.00095i 1.82566 + 0.159724i 0.947731 0.319069i \(-0.103370\pi\)
0.877927 + 0.478794i \(0.158926\pi\)
\(354\) 9.70569 2.31246i 0.515852 0.122906i
\(355\) −1.74023 + 0.712117i −0.0923621 + 0.0377952i
\(356\) 7.05689 + 19.3887i 0.374015 + 1.02760i
\(357\) 0.638223 1.61207i 0.0337783 0.0853200i
\(358\) 9.61388 + 6.73171i 0.508109 + 0.355782i
\(359\) −2.43212 4.21256i −0.128363 0.222330i 0.794680 0.607029i \(-0.207639\pi\)
−0.923042 + 0.384698i \(0.874305\pi\)
\(360\) −7.97322 11.7953i −0.420226 0.621667i
\(361\) 2.61048 4.52148i 0.137394 0.237973i
\(362\) 6.00152 2.79855i 0.315433 0.147089i
\(363\) 11.1898 12.6040i 0.587313 0.661537i
\(364\) −14.8811 + 17.7346i −0.779982 + 0.929546i
\(365\) 1.14199 0.868540i 0.0597746 0.0454614i
\(366\) −0.0855476 1.43937i −0.00447164 0.0752371i
\(367\) 7.53013 + 16.1484i 0.393070 + 0.842941i 0.998879 + 0.0473310i \(0.0150716\pi\)
−0.605810 + 0.795610i \(0.707151\pi\)
\(368\) 3.07541 0.824053i 0.160317 0.0429568i
\(369\) 7.76260 8.26709i 0.404105 0.430368i
\(370\) −5.71086 3.00403i −0.296894 0.156172i
\(371\) −6.59754 + 1.16332i −0.342527 + 0.0603968i
\(372\) 9.12377 + 3.61211i 0.473046 + 0.187279i
\(373\) 0.677762 1.45346i 0.0350932 0.0752575i −0.887980 0.459883i \(-0.847891\pi\)
0.923073 + 0.384625i \(0.125669\pi\)
\(374\) 0.135055 0.765936i 0.00698353 0.0396056i
\(375\) −8.13323 + 17.5741i −0.419998 + 0.907525i
\(376\) 3.11548 2.61420i 0.160669 0.134817i
\(377\) −21.0894 + 21.0894i −1.08616 + 1.08616i
\(378\) 7.19652 7.24794i 0.370149 0.372794i
\(379\) 16.2538i 0.834901i 0.908700 + 0.417451i \(0.137076\pi\)
−0.908700 + 0.417451i \(0.862924\pi\)
\(380\) −5.58313 + 17.4467i −0.286409 + 0.894996i
\(381\) 29.3084 + 8.73647i 1.50151 + 0.447583i
\(382\) −2.49717 + 1.74854i −0.127767 + 0.0894631i
\(383\) 30.1551 + 14.0616i 1.54085 + 0.718512i 0.993006 0.118066i \(-0.0376693\pi\)
0.547848 + 0.836578i \(0.315447\pi\)
\(384\) 16.0227 + 11.8989i 0.817653 + 0.607214i
\(385\) −34.5147 1.65500i −1.75903 0.0843466i
\(386\) −5.45690 + 3.15054i −0.277749 + 0.160358i
\(387\) 26.5522 10.6215i 1.34972 0.539922i
\(388\) −1.95495 7.29597i −0.0992475 0.370397i
\(389\) −11.1086 4.04319i −0.563227 0.204998i 0.0446865 0.999001i \(-0.485771\pi\)
−0.607914 + 0.794003i \(0.707993\pi\)
\(390\) −5.82735 + 7.10850i −0.295080 + 0.359953i
\(391\) 0.342560 + 0.287442i 0.0173240 + 0.0145366i
\(392\) −9.55468 + 0.835926i −0.482584 + 0.0422207i
\(393\) 1.54419 7.52359i 0.0778942 0.379515i
\(394\) 1.85012 5.08317i 0.0932078 0.256086i
\(395\) 33.2425 1.30886i 1.67261 0.0658557i
\(396\) −12.4491 + 19.0261i −0.625590 + 0.956098i
\(397\) −3.34381 + 12.4793i −0.167821 + 0.626317i 0.829842 + 0.557998i \(0.188430\pi\)
−0.997664 + 0.0683192i \(0.978236\pi\)
\(398\) −3.88671 + 5.55079i −0.194823 + 0.278236i
\(399\) −28.7395 3.32460i −1.43877 0.166438i
\(400\) 1.00463 10.4516i 0.0502314 0.522580i
\(401\) −7.99873 1.41039i −0.399437 0.0704316i −0.0296788 0.999559i \(-0.509448\pi\)
−0.369758 + 0.929128i \(0.620560\pi\)
\(402\) 0.265793 9.52336i 0.0132565 0.474982i
\(403\) 1.21557 13.8940i 0.0605519 0.692111i
\(404\) −14.6151 −0.727129
\(405\) −14.0151 + 14.4422i −0.696414 + 0.717640i
\(406\) −14.3064 −0.710016
\(407\) −1.97728 + 22.6004i −0.0980100 + 1.12026i
\(408\) −0.0302482 + 1.08379i −0.00149751 + 0.0536558i
\(409\) −21.0475 3.71124i −1.04073 0.183509i −0.372938 0.927856i \(-0.621650\pi\)
−0.667793 + 0.744347i \(0.732761\pi\)
\(410\) −4.85620 + 0.618195i −0.239831 + 0.0305305i
\(411\) 29.5672 + 3.42035i 1.45844 + 0.168714i
\(412\) −2.93738 + 4.19501i −0.144714 + 0.206673i
\(413\) −8.73700 + 32.6069i −0.429919 + 1.60448i
\(414\) 1.18786 + 2.35130i 0.0583804 + 0.115560i
\(415\) 14.4605 15.6459i 0.709837 0.768025i
\(416\) 7.65378 21.0286i 0.375258 1.03101i
\(417\) 1.23508 6.01755i 0.0604822 0.294681i
\(418\) −12.9285 + 1.13110i −0.632353 + 0.0553237i
\(419\) 2.15215 + 1.80587i 0.105139 + 0.0882223i 0.693842 0.720127i \(-0.255917\pi\)
−0.588703 + 0.808350i \(0.700361\pi\)
\(420\) 21.7740 2.15647i 1.06246 0.105225i
\(421\) −4.87917 1.77587i −0.237796 0.0865507i 0.220373 0.975416i \(-0.429272\pi\)
−0.458169 + 0.888865i \(0.651495\pi\)
\(422\) 2.18687 + 8.16152i 0.106455 + 0.397297i
\(423\) −4.51783 3.55485i −0.219664 0.172843i
\(424\) 3.62806 2.09466i 0.176194 0.101726i
\(425\) 1.28339 0.726388i 0.0622536 0.0352350i
\(426\) 0.677213 + 0.502919i 0.0328111 + 0.0243665i
\(427\) 4.42144 + 2.06175i 0.213969 + 0.0997752i
\(428\) 1.61996 1.13431i 0.0783038 0.0548289i
\(429\) 30.9699 + 9.23177i 1.49524 + 0.445714i
\(430\) −11.7577 3.76261i −0.567009 0.181449i
\(431\) 12.2810i 0.591553i −0.955257 0.295776i \(-0.904422\pi\)
0.955257 0.295776i \(-0.0955783\pi\)
\(432\) 4.57625 9.90569i 0.220175 0.476588i
\(433\) 10.5318 10.5318i 0.506127 0.506127i −0.407209 0.913335i \(-0.633498\pi\)
0.913335 + 0.407209i \(0.133498\pi\)
\(434\) 5.12495 4.30034i 0.246005 0.206423i
\(435\) 28.1865 0.322759i 1.35144 0.0154751i
\(436\) −4.43415 + 25.1473i −0.212357 + 1.20434i
\(437\) 3.15350 6.76271i 0.150852 0.323504i
\(438\) −0.598457 0.236930i −0.0285954 0.0113209i
\(439\) 0.587913 0.103665i 0.0280596 0.00494766i −0.159601 0.987182i \(-0.551021\pi\)
0.187660 + 0.982234i \(0.439910\pi\)
\(440\) 20.6356 6.40940i 0.983764 0.305556i
\(441\) 3.91907 + 12.9784i 0.186622 + 0.618021i
\(442\) 0.676131 0.181169i 0.0321603 0.00861732i
\(443\) −9.38303 20.1220i −0.445801 0.956024i −0.992900 0.118956i \(-0.962045\pi\)
0.547098 0.837068i \(-0.315732\pi\)
\(444\) −0.852305 14.3404i −0.0404486 0.680564i
\(445\) −27.4640 3.73537i −1.30192 0.177073i
\(446\) 7.70067 9.17730i 0.364637 0.434558i
\(447\) −4.12123 + 4.64206i −0.194927 + 0.219562i
\(448\) −3.19024 + 1.48763i −0.150724 + 0.0702840i
\(449\) 2.87636 4.98200i 0.135744 0.235115i −0.790137 0.612930i \(-0.789991\pi\)
0.925881 + 0.377814i \(0.123324\pi\)
\(450\) 8.63473 0.955131i 0.407045 0.0450253i
\(451\) 8.60564 + 14.9054i 0.405224 + 0.701868i
\(452\) −5.08051 3.55741i −0.238967 0.167327i
\(453\) −12.4982 + 31.5690i −0.587216 + 1.48324i
\(454\) −1.95636 5.37504i −0.0918163 0.252263i
\(455\) −11.7781 28.7826i −0.552164 1.34935i
\(456\) 17.5990 4.19311i 0.824150 0.196360i
\(457\) 26.2674 + 2.29810i 1.22874 + 0.107501i 0.682977 0.730440i \(-0.260685\pi\)
0.545761 + 0.837941i \(0.316241\pi\)
\(458\) 11.0441 + 11.0441i 0.516055 + 0.516055i
\(459\) 1.50831 0.271495i 0.0704019 0.0126723i
\(460\) −1.24502 + 5.50431i −0.0580493 + 0.256640i
\(461\) −21.8021 25.9827i −1.01542 1.21013i −0.977518 0.210853i \(-0.932376\pi\)
−0.0379057 0.999281i \(-0.512069\pi\)
\(462\) 7.37326 + 13.6358i 0.343035 + 0.634395i
\(463\) 10.0688 + 14.3797i 0.467937 + 0.668283i 0.981872 0.189546i \(-0.0607016\pi\)
−0.513935 + 0.857829i \(0.671813\pi\)
\(464\) −14.3622 + 5.22740i −0.666746 + 0.242676i
\(465\) −10.0001 + 8.58815i −0.463746 + 0.398266i
\(466\) 0.649338 + 3.68258i 0.0300800 + 0.170592i
\(467\) 7.28218 + 1.95125i 0.336979 + 0.0902933i 0.423341 0.905971i \(-0.360857\pi\)
−0.0863616 + 0.996264i \(0.527524\pi\)
\(468\) −20.2544 2.91776i −0.936261 0.134873i
\(469\) 27.9151 + 16.1168i 1.28900 + 0.744205i
\(470\) 0.526742 + 2.42506i 0.0242968 + 0.111860i
\(471\) −0.438910 + 0.876532i −0.0202239 + 0.0403885i
\(472\) −1.83982 21.0292i −0.0846845 0.967948i
\(473\) 3.78283 + 43.2379i 0.173935 + 1.98808i
\(474\) −8.21602 12.4596i −0.377374 0.572289i
\(475\) −17.2505 17.5484i −0.791505 0.805175i
\(476\) −1.44303 0.833134i −0.0661412 0.0381867i
\(477\) −3.94718 4.41427i −0.180729 0.202115i
\(478\) −9.49236 2.54347i −0.434171 0.116336i
\(479\) −2.36842 13.4320i −0.108216 0.613722i −0.989887 0.141858i \(-0.954692\pi\)
0.881671 0.471864i \(-0.156419\pi\)
\(480\) −19.0650 + 9.15735i −0.870193 + 0.417974i
\(481\) −19.1869 + 6.98344i −0.874845 + 0.318418i
\(482\) 1.68376 + 2.40466i 0.0766932 + 0.109529i
\(483\) −8.90943 0.248658i −0.405393 0.0113143i
\(484\) −10.4118 12.4083i −0.473262 0.564012i
\(485\) 9.89660 + 2.23851i 0.449382 + 0.101646i
\(486\) 8.79705 + 2.02990i 0.399042 + 0.0920779i
\(487\) 17.1622 + 17.1622i 0.777696 + 0.777696i 0.979439 0.201743i \(-0.0646605\pi\)
−0.201743 + 0.979439i \(0.564661\pi\)
\(488\) −3.03910 0.265887i −0.137574 0.0120361i
\(489\) 5.87381 + 6.21109i 0.265623 + 0.280875i
\(490\) 2.26274 5.39727i 0.102220 0.243824i
\(491\) 12.1283 + 33.3223i 0.547344 + 1.50382i 0.837282 + 0.546771i \(0.184143\pi\)
−0.289938 + 0.957046i \(0.593635\pi\)
\(492\) −6.76979 8.54094i −0.305206 0.385056i
\(493\) −1.75842 1.23126i −0.0791951 0.0554530i
\(494\) −5.84009 10.1153i −0.262758 0.455111i
\(495\) −14.8344 26.6989i −0.666757 1.20003i
\(496\) 3.57362 6.18969i 0.160460 0.277925i
\(497\) −2.58658 + 1.20614i −0.116024 + 0.0541030i
\(498\) −9.36253 1.92163i −0.419545 0.0861101i
\(499\) 25.8228 30.7744i 1.15599 1.37765i 0.242815 0.970073i \(-0.421929\pi\)
0.913171 0.407578i \(-0.133626\pi\)
\(500\) 15.5662 + 10.2001i 0.696143 + 0.456165i
\(501\) −22.6989 11.3661i −1.01411 0.507799i
\(502\) 2.15579 + 4.62310i 0.0962176 + 0.206339i
\(503\) −3.77620 + 1.01183i −0.168372 + 0.0451153i −0.342020 0.939693i \(-0.611111\pi\)
0.173648 + 0.984808i \(0.444445\pi\)
\(504\) −12.9456 17.3031i −0.576643 0.770741i
\(505\) 9.13991 17.3756i 0.406721 0.773204i
\(506\) −3.93739 + 0.694268i −0.175038 + 0.0308640i
\(507\) 0.959703 + 6.49806i 0.0426219 + 0.288589i
\(508\) 12.4213 26.6376i 0.551107 1.18185i
\(509\) 4.88932 27.7287i 0.216715 1.22905i −0.661190 0.750219i \(-0.729948\pi\)
0.877905 0.478835i \(-0.158941\pi\)
\(510\) −0.576688 0.324204i −0.0255362 0.0143560i
\(511\) 1.66822 1.39980i 0.0737978 0.0619237i
\(512\) 14.4119 14.4119i 0.636923 0.636923i
\(513\) −10.8899 23.1382i −0.480803 1.02158i
\(514\) 15.0704i 0.664728i
\(515\) −3.15041 6.11565i −0.138823 0.269488i
\(516\) −6.36990 26.7353i −0.280419 1.17696i
\(517\) 7.14699 5.00438i 0.314324 0.220092i
\(518\) −8.87657 4.13921i −0.390014 0.181867i
\(519\) −14.8965 + 6.44670i −0.653884 + 0.282979i
\(520\) 13.0770 + 14.3943i 0.573465 + 0.631231i
\(521\) 20.7682 11.9905i 0.909872 0.525315i 0.0294818 0.999565i \(-0.490614\pi\)
0.880390 + 0.474251i \(0.157281\pi\)
\(522\) −6.66423 10.7472i −0.291685 0.470392i
\(523\) 2.21798 + 8.27760i 0.0969853 + 0.361954i 0.997313 0.0732586i \(-0.0233398\pi\)
−0.900328 + 0.435213i \(0.856673\pi\)
\(524\) −6.93607 2.52452i −0.303004 0.110284i
\(525\) −11.0531 + 27.2353i −0.482398 + 1.18864i
\(526\) 2.56094 + 2.14888i 0.111662 + 0.0936957i
\(527\) 1.00001 0.0874898i 0.0435612 0.00381111i
\(528\) 12.3843 + 10.9948i 0.538959 + 0.478488i
\(529\) −7.08023 + 19.4528i −0.307836 + 0.845773i
\(530\) 0.100570 + 2.55428i 0.00436847 + 0.110951i
\(531\) −28.5647 + 8.62561i −1.23960 + 0.374320i
\(532\) −7.19621 + 26.8566i −0.311995 + 1.16438i
\(533\) −8.88487 + 12.6889i −0.384846 + 0.549618i
\(534\) 4.93848 + 11.4114i 0.213709 + 0.493821i
\(535\) 0.335475 + 2.63531i 0.0145038 + 0.113934i
\(536\) −19.8506 3.50020i −0.857415 0.151185i
\(537\) −29.8953 18.3908i −1.29008 0.793620i
\(538\) 1.07644 12.3038i 0.0464088 0.530455i
\(539\) −20.5759 −0.886268
\(540\) 11.7627 + 15.3524i 0.506188 + 0.660663i
\(541\) −24.1490 −1.03825 −0.519123 0.854700i \(-0.673741\pi\)
−0.519123 + 0.854700i \(0.673741\pi\)
\(542\) 0.699936 8.00031i 0.0300648 0.343643i
\(543\) −17.4201 + 9.41955i −0.747569 + 0.404231i
\(544\) 1.58618 + 0.279687i 0.0680070 + 0.0119915i
\(545\) −27.1241 20.9982i −1.16187 0.899462i
\(546\) −8.31803 + 11.2008i −0.355979 + 0.479349i
\(547\) 5.90592 8.43453i 0.252519 0.360634i −0.672800 0.739825i \(-0.734908\pi\)
0.925319 + 0.379190i \(0.123797\pi\)
\(548\) 7.40347 27.6301i 0.316261 1.18030i
\(549\) 0.510780 + 4.28186i 0.0217996 + 0.182745i
\(550\) −2.40062 + 12.9645i −0.102363 + 0.552810i
\(551\) −12.2510 + 33.6593i −0.521910 + 1.43394i
\(552\) 5.28857 1.75941i 0.225096 0.0748853i
\(553\) 50.3035 4.40099i 2.13912 0.187149i
\(554\) −1.84034 1.54423i −0.0781886 0.0656080i
\(555\) 17.5820 + 7.95481i 0.746314 + 0.337663i
\(556\) −5.54764 2.01918i −0.235272 0.0856322i
\(557\) 0.00364981 + 0.0136213i 0.000154647 + 0.000577152i 0.966003 0.258530i \(-0.0832382\pi\)
−0.965848 + 0.259108i \(0.916572\pi\)
\(558\) 5.61779 + 1.84675i 0.237820 + 0.0781791i
\(559\) −33.8297 + 19.5316i −1.43084 + 0.826098i
\(560\) 0.763305 15.9186i 0.0322555 0.672684i
\(561\) −0.267287 + 2.31056i −0.0112849 + 0.0975517i
\(562\) −7.05437 3.28951i −0.297571 0.138759i
\(563\) −12.2008 + 8.54312i −0.514204 + 0.360050i −0.801695 0.597734i \(-0.796068\pi\)
0.287490 + 0.957783i \(0.407179\pi\)
\(564\) −4.01406 + 3.79608i −0.169022 + 0.159844i
\(565\) 7.40656 3.81540i 0.311596 0.160515i
\(566\) 6.74492i 0.283510i
\(567\) −20.1982 + 22.9146i −0.848244 + 0.962322i
\(568\) 1.26197 1.26197i 0.0529511 0.0529511i
\(569\) −21.1007 + 17.7056i −0.884589 + 0.742258i −0.967117 0.254331i \(-0.918145\pi\)
0.0825286 + 0.996589i \(0.473700\pi\)
\(570\) −2.73489 + 10.6951i −0.114552 + 0.447969i
\(571\) −3.36410 + 19.0788i −0.140783 + 0.798421i 0.829873 + 0.557952i \(0.188413\pi\)
−0.970657 + 0.240470i \(0.922699\pi\)
\(572\) 13.1255 28.1478i 0.548805 1.17692i
\(573\) 7.14471 5.66310i 0.298475 0.236579i
\(574\) −7.31750 + 1.29027i −0.305426 + 0.0538549i
\(575\) −5.76536 4.92243i −0.240432 0.205280i
\(576\) −2.60361 1.70358i −0.108484 0.0709826i
\(577\) 25.4327 6.81468i 1.05878 0.283699i 0.312904 0.949785i \(-0.398698\pi\)
0.745875 + 0.666086i \(0.232032\pi\)
\(578\) −4.13969 8.87759i −0.172188 0.369259i
\(579\) 15.7318 10.3737i 0.653791 0.431117i
\(580\) 3.65092 26.8430i 0.151596 1.11460i
\(581\) 20.7860 24.7718i 0.862348 1.02771i
\(582\) −1.43691 4.31918i −0.0595618 0.179036i
\(583\) 8.14529 3.79821i 0.337344 0.157306i
\(584\) −0.680899 + 1.17935i −0.0281758 + 0.0488020i
\(585\) 16.1355 22.2554i 0.667119 0.920147i
\(586\) 7.63599 + 13.2259i 0.315440 + 0.546358i
\(587\) 16.9456 + 11.8655i 0.699421 + 0.489740i 0.868390 0.495882i \(-0.165155\pi\)
−0.168969 + 0.985621i \(0.554044\pi\)
\(588\) 12.8893 1.90362i 0.531544 0.0785041i
\(589\) −5.72896 15.7402i −0.236058 0.648563i
\(590\) 11.8790 + 4.98014i 0.489052 + 0.205029i
\(591\) −4.62136 + 15.5034i −0.190097 + 0.637723i
\(592\) −10.4236 0.911944i −0.428406 0.0374807i
\(593\) −25.1558 25.1558i −1.03302 1.03302i −0.999436 0.0335886i \(-0.989306\pi\)
−0.0335886 0.999436i \(-0.510694\pi\)
\(594\) −6.80881 + 11.8907i −0.279369 + 0.487883i
\(595\) 1.89293 1.19457i 0.0776026 0.0489726i
\(596\) 3.83467 + 4.56998i 0.157074 + 0.187194i
\(597\) 10.6183 17.2607i 0.434579 0.706435i
\(598\) −2.06393 2.94760i −0.0844003 0.120536i
\(599\) 22.0669 8.03169i 0.901629 0.328166i 0.150723 0.988576i \(-0.451840\pi\)
0.750905 + 0.660410i \(0.229617\pi\)
\(600\) 0.670061 18.3681i 0.0273551 0.749874i
\(601\) −0.359287 2.03762i −0.0146556 0.0831161i 0.976603 0.215052i \(-0.0689920\pi\)
−0.991258 + 0.131935i \(0.957881\pi\)
\(602\) −18.0993 4.84970i −0.737674 0.197659i
\(603\) 0.896260 + 28.4778i 0.0364985 + 1.15971i
\(604\) 28.2586 + 16.3151i 1.14983 + 0.663853i
\(605\) 21.2632 4.61853i 0.864472 0.187770i
\(606\) −8.79209 + 0.522549i −0.357154 + 0.0212271i
\(607\) 2.38456 + 27.2557i 0.0967864 + 1.10627i 0.876912 + 0.480651i \(0.159599\pi\)
−0.780126 + 0.625623i \(0.784845\pi\)
\(608\) −2.34240 26.7737i −0.0949967 1.08582i
\(609\) 42.7098 2.53842i 1.73069 0.102862i
\(610\) 1.00689 1.56568i 0.0407680 0.0633924i
\(611\) 6.80042 + 3.92623i 0.275116 + 0.158838i
\(612\) −0.0463308 1.47212i −0.00187281 0.0595068i
\(613\) 9.12534 + 2.44513i 0.368569 + 0.0987578i 0.438350 0.898805i \(-0.355563\pi\)
−0.0697805 + 0.997562i \(0.522230\pi\)
\(614\) 1.82465 + 10.3481i 0.0736370 + 0.417616i
\(615\) 14.3878 2.70718i 0.580173 0.109164i
\(616\) 30.8195 11.2174i 1.24175 0.451962i
\(617\) 18.4514 + 26.3513i 0.742826 + 1.06086i 0.995634 + 0.0933483i \(0.0297570\pi\)
−0.252808 + 0.967516i \(0.581354\pi\)
\(618\) −1.61707 + 2.62864i −0.0650480 + 0.105739i
\(619\) −19.6122 23.3729i −0.788279 0.939435i 0.210996 0.977487i \(-0.432329\pi\)
−0.999276 + 0.0380520i \(0.987885\pi\)
\(620\) 6.76084 + 10.7133i 0.271522 + 0.430257i
\(621\) −3.96340 6.80872i −0.159046 0.273225i
\(622\) −7.07174 7.07174i −0.283551 0.283551i
\(623\) −41.9094 3.66660i −1.67907 0.146899i
\(624\) −4.25780 + 14.2837i −0.170448 + 0.571806i
\(625\) −21.8615 + 12.1275i −0.874459 + 0.485099i
\(626\) 2.96103 + 8.13536i 0.118346 + 0.325154i
\(627\) 38.3955 5.67065i 1.53337 0.226464i
\(628\) 0.771716 + 0.540361i 0.0307948 + 0.0215628i
\(629\) −0.734793 1.27270i −0.0292981 0.0507459i
\(630\) 13.0216 2.07579i 0.518793 0.0827013i
\(631\) −13.5982 + 23.5528i −0.541338 + 0.937624i 0.457490 + 0.889215i \(0.348749\pi\)
−0.998828 + 0.0484094i \(0.984585\pi\)
\(632\) −28.6182 + 13.3449i −1.13837 + 0.530832i
\(633\) −7.97671 23.9770i −0.317046 0.953002i
\(634\) −5.77884 + 6.88695i −0.229507 + 0.273516i
\(635\) 23.9009 + 31.4259i 0.948480 + 1.24710i
\(636\) −4.75101 + 3.13287i −0.188390 + 0.124226i
\(637\) −7.82626 16.7835i −0.310088 0.664985i
\(638\) 18.5385 4.96739i 0.733948 0.196661i
\(639\) −2.11096 1.38123i −0.0835082 0.0546408i
\(640\) 7.64251 + 24.6057i 0.302097 + 0.972627i
\(641\) 47.3771 8.35386i 1.87128 0.329957i 0.881459 0.472261i \(-0.156562\pi\)
0.989823 + 0.142304i \(0.0454509\pi\)
\(642\) 0.933973 0.740293i 0.0368610 0.0292170i
\(643\) 0.605053 1.29754i 0.0238610 0.0511700i −0.894016 0.448035i \(-0.852124\pi\)
0.917877 + 0.396865i \(0.129902\pi\)
\(644\) −1.48741 + 8.43554i −0.0586123 + 0.332407i
\(645\) 35.7687 + 9.14654i 1.40839 + 0.360145i
\(646\) 0.643993 0.540374i 0.0253376 0.0212607i
\(647\) 3.76082 3.76082i 0.147853 0.147853i −0.629305 0.777158i \(-0.716660\pi\)
0.777158 + 0.629305i \(0.216660\pi\)
\(648\) 6.96801 17.7851i 0.273729 0.698664i
\(649\) 45.2862i 1.77764i
\(650\) −11.4881 + 2.97305i −0.450599 + 0.116612i
\(651\) −14.5368 + 13.7474i −0.569742 + 0.538803i
\(652\) 6.72983 4.71228i 0.263561 0.184547i
\(653\) 31.4655 + 14.6726i 1.23134 + 0.574184i 0.925807 0.377997i \(-0.123387\pi\)
0.305535 + 0.952181i \(0.401165\pi\)
\(654\) −1.76836 + 15.2866i −0.0691483 + 0.597751i
\(655\) 7.33900 6.66739i 0.286758 0.260516i
\(656\) −6.87455 + 3.96902i −0.268406 + 0.154964i
\(657\) 1.82865 + 0.601135i 0.0713423 + 0.0234525i
\(658\) 0.974884 + 3.63832i 0.0380049 + 0.141836i
\(659\) −29.5525 10.7562i −1.15120 0.419003i −0.305254 0.952271i \(-0.598742\pi\)
−0.845946 + 0.533268i \(0.820964\pi\)
\(660\) −27.4664 + 10.3546i −1.06913 + 0.403053i
\(661\) 18.2275 + 15.2947i 0.708967 + 0.594894i 0.924309 0.381645i \(-0.124642\pi\)
−0.215342 + 0.976539i \(0.569087\pi\)
\(662\) 2.43602 0.213124i 0.0946785 0.00828329i
\(663\) −1.98635 + 0.660821i −0.0771434 + 0.0256642i
\(664\) −6.91620 + 19.0021i −0.268401 + 0.737425i
\(665\) −27.4290 25.3509i −1.06365 0.983065i
\(666\) −1.02545 8.59634i −0.0397355 0.333101i
\(667\) −2.85607 + 10.6590i −0.110588 + 0.412719i
\(668\) −13.9933 + 19.9845i −0.541417 + 0.773224i
\(669\) −21.3609 + 28.7639i −0.825861 + 1.11208i
\(670\) 7.52910 9.72562i 0.290874 0.375734i
\(671\) −6.44526 1.13647i −0.248816 0.0438730i
\(672\) −28.2385 + 15.2694i −1.08933 + 0.589028i
\(673\) −0.160481 + 1.83430i −0.00618608 + 0.0707073i −0.998660 0.0517472i \(-0.983521\pi\)
0.992474 + 0.122454i \(0.0390765\pi\)
\(674\) −2.80899 −0.108198
\(675\) −25.6083 + 4.38348i −0.985664 + 0.168720i
\(676\) 6.31265 0.242794
\(677\) −0.976915 + 11.1662i −0.0375459 + 0.429151i 0.954038 + 0.299686i \(0.0968818\pi\)
−0.991584 + 0.129466i \(0.958674\pi\)
\(678\) −3.18350 1.95840i −0.122262 0.0752120i
\(679\) 15.1669 + 2.67433i 0.582052 + 0.102631i
\(680\) −0.856839 + 1.10681i −0.0328583 + 0.0424443i
\(681\) 6.79413 + 15.6993i 0.260352 + 0.601599i
\(682\) −5.14787 + 7.35191i −0.197122 + 0.281519i
\(683\) 8.50752 31.7505i 0.325531 1.21490i −0.588246 0.808682i \(-0.700181\pi\)
0.913777 0.406216i \(-0.133152\pi\)
\(684\) −23.5272 + 7.10447i −0.899586 + 0.271646i
\(685\) 28.2190 + 26.0810i 1.07819 + 0.996504i
\(686\) −1.66791 + 4.58253i −0.0636809 + 0.174962i
\(687\) −34.9300 31.0109i −1.33266 1.18314i
\(688\) −19.9419 + 1.74469i −0.760276 + 0.0665155i
\(689\) 6.19628 + 5.19930i 0.236060 + 0.198078i
\(690\) −0.552172 + 3.35577i −0.0210208 + 0.127752i
\(691\) 35.2185 + 12.8185i 1.33977 + 0.487638i 0.909742 0.415175i \(-0.136280\pi\)
0.430033 + 0.902813i \(0.358502\pi\)
\(692\) 4.03739 + 15.0677i 0.153479 + 0.572790i
\(693\) −24.4313 39.3995i −0.928067 1.49666i
\(694\) 9.37669 5.41364i 0.355934 0.205499i
\(695\) 5.86991 5.33274i 0.222658 0.202282i
\(696\) −24.5544 + 10.6263i −0.930731 + 0.402789i
\(697\) −1.01044 0.471178i −0.0382733 0.0178471i
\(698\) 4.28308 2.99905i 0.162117 0.113516i
\(699\) −2.59191 10.8786i −0.0980351 0.411466i
\(700\) 24.3414 + 14.3327i 0.920017 + 0.541726i
\(701\) 8.75525i 0.330681i 0.986237 + 0.165341i \(0.0528724\pi\)
−0.986237 + 0.165341i \(0.947128\pi\)
\(702\) −12.2889 1.03108i −0.463814 0.0389154i
\(703\) −17.3398 + 17.3398i −0.653981 + 0.653981i
\(704\) 3.61744 3.03539i 0.136337 0.114401i
\(705\) −2.00280 7.14621i −0.0754297 0.269142i
\(706\) 3.46283 19.6387i 0.130325 0.739112i
\(707\) 12.5938 27.0074i 0.473638 1.01572i
\(708\) 4.18975 + 28.3684i 0.157460 + 1.06615i
\(709\) −7.84342 + 1.38301i −0.294566 + 0.0519399i −0.318978 0.947762i \(-0.603340\pi\)
0.0244124 + 0.999702i \(0.492229\pi\)
\(710\) 0.323018 + 1.03998i 0.0121227 + 0.0390299i
\(711\) 26.7385 + 35.7387i 1.00277 + 1.34030i
\(712\) 25.4112 6.80890i 0.952323 0.255174i
\(713\) −2.18085 4.67685i −0.0816735 0.175149i
\(714\) −0.897880 0.449599i −0.0336023 0.0168258i
\(715\) 25.2559 + 33.2076i 0.944519 + 1.24189i
\(716\) −21.6823 + 25.8400i −0.810307 + 0.965687i
\(717\) 28.7894 + 5.90893i 1.07516 + 0.220673i
\(718\) −2.55323 + 1.19059i −0.0952856 + 0.0444324i
\(719\) 4.35425 7.54179i 0.162386 0.281261i −0.773338 0.633994i \(-0.781414\pi\)
0.935724 + 0.352733i \(0.114748\pi\)
\(720\) 12.3139 6.84181i 0.458910 0.254979i
\(721\) −5.22089 9.04285i −0.194436 0.336773i
\(722\) −2.47693 1.73436i −0.0921816 0.0645463i
\(723\) −5.45329 6.88002i −0.202810 0.255871i
\(724\) 6.50941 + 17.8845i 0.241920 + 0.664671i
\(725\) 29.6300 + 21.1275i 1.10043 + 0.784654i
\(726\) −6.70711 7.09225i −0.248924 0.263218i
\(727\) −34.8965 3.05305i −1.29424 0.113231i −0.580857 0.814005i \(-0.697283\pi\)
−0.713383 + 0.700774i \(0.752838\pi\)
\(728\) 20.8724 + 20.8724i 0.773581 + 0.773581i
\(729\) −26.6225 4.49909i −0.986019 0.166633i
\(730\) −0.443465 0.702720i −0.0164134 0.0260088i
\(731\) −1.80722 2.15377i −0.0668426 0.0796599i
\(732\) 4.14261 + 0.115618i 0.153115 + 0.00427338i
\(733\) −10.7952 15.4172i −0.398731 0.569447i 0.568711 0.822537i \(-0.307442\pi\)
−0.967443 + 0.253090i \(0.918553\pi\)
\(734\) 9.69703 3.52943i 0.357924 0.130274i
\(735\) −5.79744 + 16.5143i −0.213842 + 0.609138i
\(736\) −1.43777 8.15398i −0.0529968 0.300560i
\(737\) −41.7689 11.1919i −1.53858 0.412261i
\(738\) −4.37791 4.89598i −0.161153 0.180223i
\(739\) −9.05915 5.23030i −0.333246 0.192400i 0.324035 0.946045i \(-0.394960\pi\)
−0.657281 + 0.753645i \(0.728294\pi\)
\(740\) 10.0316 15.5987i 0.368770 0.573421i
\(741\) 19.2296 + 29.1617i 0.706415 + 1.07128i
\(742\) 0.338162 + 3.86521i 0.0124143 + 0.141896i
\(743\) −2.32285 26.5503i −0.0852170 0.974035i −0.911641 0.410987i \(-0.865184\pi\)
0.826424 0.563048i \(-0.190371\pi\)
\(744\) 5.60190 11.1874i 0.205376 0.410149i
\(745\) −7.83126 + 1.70101i −0.286915 + 0.0623203i
\(746\) −0.804373 0.464405i −0.0294502 0.0170031i
\(747\) 28.2915 + 4.07554i 1.03513 + 0.149116i
\(748\) 2.15918 + 0.578551i 0.0789475 + 0.0211539i
\(749\) 0.700190 + 3.97098i 0.0255844 + 0.145096i
\(750\) 9.72897 + 5.57961i 0.355252 + 0.203738i
\(751\) −33.4699 + 12.1820i −1.22133 + 0.444529i −0.870621 0.491954i \(-0.836283\pi\)
−0.350712 + 0.936483i \(0.614061\pi\)
\(752\) 2.30808 + 3.29628i 0.0841670 + 0.120203i
\(753\) −7.25609 13.4191i −0.264427 0.489020i
\(754\) 11.1031 + 13.2322i 0.404352 + 0.481888i
\(755\) −37.0689 + 23.3930i −1.34908 + 0.851360i
\(756\) 18.9495 + 22.4205i 0.689186 + 0.815427i
\(757\) −23.2266 23.2266i −0.844185 0.844185i 0.145215 0.989400i \(-0.453613\pi\)
−0.989400 + 0.145215i \(0.953613\pi\)
\(758\) 9.37772 + 0.820445i 0.340614 + 0.0297999i
\(759\) 11.6313 2.77126i 0.422191 0.100590i
\(760\) 21.5399 + 9.03032i 0.781333 + 0.327564i
\(761\) −11.0481 30.3545i −0.400494 1.10035i −0.962041 0.272904i \(-0.912016\pi\)
0.561547 0.827445i \(-0.310206\pi\)
\(762\) 6.51996 16.4686i 0.236193 0.596596i
\(763\) −42.6492 29.8633i −1.54400 1.08112i
\(764\) −4.38086 7.58787i −0.158494 0.274519i
\(765\) 1.77915 + 0.865543i 0.0643251 + 0.0312938i
\(766\) 9.63504 16.6884i 0.348128 0.602976i
\(767\) 36.9393 17.2251i 1.33380 0.621961i
\(768\) 5.28866 5.95703i 0.190838 0.214956i
\(769\) 24.2180 28.8618i 0.873322 1.04078i −0.125492 0.992095i \(-0.540051\pi\)
0.998814 0.0486900i \(-0.0155046\pi\)
\(770\) −2.69707 + 19.8299i −0.0971955 + 0.714621i