Properties

Label 390.2.bn.c.97.6
Level $390$
Weight $2$
Character 390.97
Analytic conductor $3.114$
Analytic rank $0$
Dimension $32$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bn (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(32\)
Relative dimension: \(8\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 97.6
Character \(\chi\) \(=\) 390.97
Dual form 390.2.bn.c.193.6

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.743195 + 2.10895i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.0594459 + 0.0343211i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(-0.500000 + 0.866025i) q^{2} +(0.258819 + 0.965926i) q^{3} +(-0.500000 - 0.866025i) q^{4} +(-0.743195 + 2.10895i) q^{5} +(-0.965926 - 0.258819i) q^{6} +(-0.0594459 + 0.0343211i) q^{7} +1.00000 q^{8} +(-0.866025 + 0.500000i) q^{9} +(-1.45481 - 1.69810i) q^{10} +(-5.23449 + 1.40258i) q^{11} +(0.707107 - 0.707107i) q^{12} +(3.36345 + 1.29893i) q^{13} -0.0686422i q^{14} +(-2.22944 - 0.172035i) q^{15} +(-0.500000 + 0.866025i) q^{16} +(-3.28606 - 0.880498i) q^{17} -1.00000i q^{18} +(-0.295488 + 1.10278i) q^{19} +(2.19800 - 0.410849i) q^{20} +(-0.0485374 - 0.0485374i) q^{21} +(1.40258 - 5.23449i) q^{22} +(-1.72731 + 0.462831i) q^{23} +(0.258819 + 0.965926i) q^{24} +(-3.89532 - 3.13472i) q^{25} +(-2.80663 + 2.26336i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(0.0594459 + 0.0343211i) q^{28} +(3.37291 + 1.94735i) q^{29} +(1.26371 - 1.84473i) q^{30} +(-2.29267 + 2.29267i) q^{31} +(-0.500000 - 0.866025i) q^{32} +(-2.70957 - 4.69312i) q^{33} +(2.40557 - 2.40557i) q^{34} +(-0.0282016 - 0.150876i) q^{35} +(0.866025 + 0.500000i) q^{36} +(-3.81454 - 2.20233i) q^{37} +(-0.807288 - 0.807288i) q^{38} +(-0.384149 + 3.58503i) q^{39} +(-0.743195 + 2.10895i) q^{40} +(1.47354 + 5.49931i) q^{41} +(0.0663033 - 0.0177659i) q^{42} +(2.29321 - 8.55839i) q^{43} +(3.83191 + 3.83191i) q^{44} +(-0.410849 - 2.19800i) q^{45} +(0.462831 - 1.72731i) q^{46} +9.48215i q^{47} +(-0.965926 - 0.258819i) q^{48} +(-3.49764 + 6.05810i) q^{49} +(4.66241 - 1.80609i) q^{50} -3.40198i q^{51} +(-0.556815 - 3.56230i) q^{52} +(5.48446 - 5.48446i) q^{53} +(0.965926 - 0.258819i) q^{54} +(0.932283 - 12.0817i) q^{55} +(-0.0594459 + 0.0343211i) q^{56} -1.14168 q^{57} +(-3.37291 + 1.94735i) q^{58} +(5.49573 + 1.47258i) q^{59} +(0.965733 + 2.01677i) q^{60} +(3.87879 + 6.71827i) q^{61} +(-0.839174 - 3.13184i) q^{62} +(0.0343211 - 0.0594459i) q^{63} +1.00000 q^{64} +(-5.23908 + 6.12797i) q^{65} +5.41914 q^{66} +(-0.519343 + 0.899528i) q^{67} +(0.880498 + 3.28606i) q^{68} +(-0.894121 - 1.54866i) q^{69} +(0.144763 + 0.0510145i) q^{70} +(-5.00578 - 1.34130i) q^{71} +(-0.866025 + 0.500000i) q^{72} +11.8364 q^{73} +(3.81454 - 2.20233i) q^{74} +(2.01972 - 4.57392i) q^{75} +(1.10278 - 0.295488i) q^{76} +(0.263031 - 0.263031i) q^{77} +(-2.91265 - 2.12520i) q^{78} +11.5811i q^{79} +(-1.45481 - 1.69810i) q^{80} +(0.500000 - 0.866025i) q^{81} +(-5.49931 - 1.47354i) q^{82} +4.93743i q^{83} +(-0.0177659 + 0.0663033i) q^{84} +(4.29911 - 6.27576i) q^{85} +(6.26518 + 6.26518i) q^{86} +(-1.00802 + 3.76199i) q^{87} +(-5.23449 + 1.40258i) q^{88} +(0.0552889 + 0.206341i) q^{89} +(2.10895 + 0.743195i) q^{90} +(-0.244524 + 0.0382210i) q^{91} +(1.26448 + 1.26448i) q^{92} +(-2.80793 - 1.62116i) q^{93} +(-8.21179 - 4.74108i) q^{94} +(-2.10609 - 1.44275i) q^{95} +(0.707107 - 0.707107i) q^{96} +(6.94187 + 12.0237i) q^{97} +(-3.49764 - 6.05810i) q^{98} +(3.83191 - 3.83191i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 32 q - 16 q^{2} - 16 q^{4} - 12 q^{7} + 32 q^{8} - 4 q^{11} + 8 q^{13} - 4 q^{15} - 16 q^{16} - 4 q^{17} + 20 q^{19} + 8 q^{21} + 8 q^{22} - 16 q^{23} - 8 q^{25} - 4 q^{26} + 12 q^{28} + 24 q^{29} + 8 q^{30} + 12 q^{31} - 16 q^{32} - 16 q^{34} + 12 q^{35} - 24 q^{37} - 4 q^{38} - 20 q^{39} - 28 q^{41} - 16 q^{42} + 4 q^{43} - 4 q^{44} - 4 q^{46} + 20 q^{49} - 8 q^{50} - 4 q^{52} - 4 q^{53} + 68 q^{55} - 12 q^{56} + 16 q^{57} - 24 q^{58} + 36 q^{59} - 4 q^{60} - 28 q^{61} - 48 q^{62} + 32 q^{64} - 28 q^{65} - 28 q^{67} + 20 q^{68} - 20 q^{69} - 24 q^{70} - 4 q^{71} - 48 q^{73} + 24 q^{74} + 24 q^{75} - 16 q^{76} + 20 q^{77} + 4 q^{78} + 16 q^{81} + 44 q^{82} + 8 q^{84} + 64 q^{85} - 8 q^{86} + 20 q^{87} - 4 q^{88} - 16 q^{89} - 40 q^{91} + 20 q^{92} - 24 q^{93} - 24 q^{94} + 68 q^{95} + 8 q^{97} + 20 q^{98} - 4 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.500000 + 0.866025i −0.353553 + 0.612372i
\(3\) 0.258819 + 0.965926i 0.149429 + 0.557678i
\(4\) −0.500000 0.866025i −0.250000 0.433013i
\(5\) −0.743195 + 2.10895i −0.332367 + 0.943150i
\(6\) −0.965926 0.258819i −0.394338 0.105662i
\(7\) −0.0594459 + 0.0343211i −0.0224684 + 0.0129722i −0.511192 0.859466i \(-0.670796\pi\)
0.488724 + 0.872439i \(0.337463\pi\)
\(8\) 1.00000 0.353553
\(9\) −0.866025 + 0.500000i −0.288675 + 0.166667i
\(10\) −1.45481 1.69810i −0.460050 0.536986i
\(11\) −5.23449 + 1.40258i −1.57826 + 0.422893i −0.938386 0.345588i \(-0.887679\pi\)
−0.639872 + 0.768481i \(0.721013\pi\)
\(12\) 0.707107 0.707107i 0.204124 0.204124i
\(13\) 3.36345 + 1.29893i 0.932852 + 0.360259i
\(14\) 0.0686422i 0.0183454i
\(15\) −2.22944 0.172035i −0.575639 0.0444193i
\(16\) −0.500000 + 0.866025i −0.125000 + 0.216506i
\(17\) −3.28606 0.880498i −0.796987 0.213552i −0.162727 0.986671i \(-0.552029\pi\)
−0.634261 + 0.773119i \(0.718695\pi\)
\(18\) 1.00000i 0.235702i
\(19\) −0.295488 + 1.10278i −0.0677895 + 0.252994i −0.991502 0.130093i \(-0.958472\pi\)
0.923712 + 0.383087i \(0.125139\pi\)
\(20\) 2.19800 0.410849i 0.491488 0.0918685i
\(21\) −0.0485374 0.0485374i −0.0105917 0.0105917i
\(22\) 1.40258 5.23449i 0.299031 1.11600i
\(23\) −1.72731 + 0.462831i −0.360169 + 0.0965070i −0.434366 0.900737i \(-0.643027\pi\)
0.0741966 + 0.997244i \(0.476361\pi\)
\(24\) 0.258819 + 0.965926i 0.0528312 + 0.197169i
\(25\) −3.89532 3.13472i −0.779065 0.626944i
\(26\) −2.80663 + 2.26336i −0.550426 + 0.443882i
\(27\) −0.707107 0.707107i −0.136083 0.136083i
\(28\) 0.0594459 + 0.0343211i 0.0112342 + 0.00648608i
\(29\) 3.37291 + 1.94735i 0.626334 + 0.361614i 0.779331 0.626613i \(-0.215559\pi\)
−0.152997 + 0.988227i \(0.548893\pi\)
\(30\) 1.26371 1.84473i 0.230720 0.336801i
\(31\) −2.29267 + 2.29267i −0.411775 + 0.411775i −0.882356 0.470582i \(-0.844044\pi\)
0.470582 + 0.882356i \(0.344044\pi\)
\(32\) −0.500000 0.866025i −0.0883883 0.153093i
\(33\) −2.70957 4.69312i −0.471676 0.816967i
\(34\) 2.40557 2.40557i 0.412551 0.412551i
\(35\) −0.0282016 0.150876i −0.00476693 0.0255026i
\(36\) 0.866025 + 0.500000i 0.144338 + 0.0833333i
\(37\) −3.81454 2.20233i −0.627107 0.362060i 0.152524 0.988300i \(-0.451260\pi\)
−0.779631 + 0.626239i \(0.784593\pi\)
\(38\) −0.807288 0.807288i −0.130959 0.130959i
\(39\) −0.384149 + 3.58503i −0.0615130 + 0.574064i
\(40\) −0.743195 + 2.10895i −0.117509 + 0.333454i
\(41\) 1.47354 + 5.49931i 0.230128 + 0.858848i 0.980285 + 0.197589i \(0.0633110\pi\)
−0.750157 + 0.661259i \(0.770022\pi\)
\(42\) 0.0663033 0.0177659i 0.0102308 0.00274134i
\(43\) 2.29321 8.55839i 0.349712 1.30514i −0.537298 0.843392i \(-0.680555\pi\)
0.887010 0.461750i \(-0.152778\pi\)
\(44\) 3.83191 + 3.83191i 0.577683 + 0.577683i
\(45\) −0.410849 2.19800i −0.0612457 0.327658i
\(46\) 0.462831 1.72731i 0.0682408 0.254678i
\(47\) 9.48215i 1.38311i 0.722322 + 0.691557i \(0.243075\pi\)
−0.722322 + 0.691557i \(0.756925\pi\)
\(48\) −0.965926 0.258819i −0.139419 0.0373573i
\(49\) −3.49764 + 6.05810i −0.499663 + 0.865442i
\(50\) 4.66241 1.80609i 0.659364 0.255420i
\(51\) 3.40198i 0.476373i
\(52\) −0.556815 3.56230i −0.0772163 0.494002i
\(53\) 5.48446 5.48446i 0.753349 0.753349i −0.221754 0.975103i \(-0.571178\pi\)
0.975103 + 0.221754i \(0.0711782\pi\)
\(54\) 0.965926 0.258819i 0.131446 0.0352208i
\(55\) 0.932283 12.0817i 0.125709 1.62909i
\(56\) −0.0594459 + 0.0343211i −0.00794379 + 0.00458635i
\(57\) −1.14168 −0.151219
\(58\) −3.37291 + 1.94735i −0.442885 + 0.255700i
\(59\) 5.49573 + 1.47258i 0.715482 + 0.191713i 0.598155 0.801380i \(-0.295901\pi\)
0.117327 + 0.993093i \(0.462567\pi\)
\(60\) 0.965733 + 2.01677i 0.124676 + 0.260364i
\(61\) 3.87879 + 6.71827i 0.496629 + 0.860186i 0.999992 0.00388852i \(-0.00123776\pi\)
−0.503364 + 0.864075i \(0.667904\pi\)
\(62\) −0.839174 3.13184i −0.106575 0.397744i
\(63\) 0.0343211 0.0594459i 0.00432405 0.00748948i
\(64\) 1.00000 0.125000
\(65\) −5.23908 + 6.12797i −0.649828 + 0.760082i
\(66\) 5.41914 0.667051
\(67\) −0.519343 + 0.899528i −0.0634478 + 0.109895i −0.896004 0.444045i \(-0.853543\pi\)
0.832557 + 0.553940i \(0.186876\pi\)
\(68\) 0.880498 + 3.28606i 0.106776 + 0.398494i
\(69\) −0.894121 1.54866i −0.107640 0.186437i
\(70\) 0.144763 + 0.0510145i 0.0173025 + 0.00609740i
\(71\) −5.00578 1.34130i −0.594077 0.159182i −0.0507612 0.998711i \(-0.516165\pi\)
−0.543316 + 0.839528i \(0.682831\pi\)
\(72\) −0.866025 + 0.500000i −0.102062 + 0.0589256i
\(73\) 11.8364 1.38535 0.692676 0.721249i \(-0.256432\pi\)
0.692676 + 0.721249i \(0.256432\pi\)
\(74\) 3.81454 2.20233i 0.443431 0.256015i
\(75\) 2.01972 4.57392i 0.233217 0.528151i
\(76\) 1.10278 0.295488i 0.126497 0.0338948i
\(77\) 0.263031 0.263031i 0.0299752 0.0299752i
\(78\) −2.91265 2.12520i −0.329793 0.240631i
\(79\) 11.5811i 1.30298i 0.758657 + 0.651490i \(0.225856\pi\)
−0.758657 + 0.651490i \(0.774144\pi\)
\(80\) −1.45481 1.69810i −0.162652 0.189853i
\(81\) 0.500000 0.866025i 0.0555556 0.0962250i
\(82\) −5.49931 1.47354i −0.607297 0.162725i
\(83\) 4.93743i 0.541953i 0.962586 + 0.270977i \(0.0873466\pi\)
−0.962586 + 0.270977i \(0.912653\pi\)
\(84\) −0.0177659 + 0.0663033i −0.00193842 + 0.00723428i
\(85\) 4.29911 6.27576i 0.466304 0.680701i
\(86\) 6.26518 + 6.26518i 0.675591 + 0.675591i
\(87\) −1.00802 + 3.76199i −0.108071 + 0.403328i
\(88\) −5.23449 + 1.40258i −0.557999 + 0.149515i
\(89\) 0.0552889 + 0.206341i 0.00586061 + 0.0218721i 0.968794 0.247866i \(-0.0797294\pi\)
−0.962934 + 0.269739i \(0.913063\pi\)
\(90\) 2.10895 + 0.743195i 0.222303 + 0.0783396i
\(91\) −0.244524 + 0.0382210i −0.0256331 + 0.00400665i
\(92\) 1.26448 + 1.26448i 0.131831 + 0.131831i
\(93\) −2.80793 1.62116i −0.291169 0.168106i
\(94\) −8.21179 4.74108i −0.846981 0.489005i
\(95\) −2.10609 1.44275i −0.216080 0.148023i
\(96\) 0.707107 0.707107i 0.0721688 0.0721688i
\(97\) 6.94187 + 12.0237i 0.704840 + 1.22082i 0.966749 + 0.255726i \(0.0823146\pi\)
−0.261909 + 0.965093i \(0.584352\pi\)
\(98\) −3.49764 6.05810i −0.353315 0.611960i
\(99\) 3.83191 3.83191i 0.385122 0.385122i
\(100\) −0.767084 + 4.94081i −0.0767084 + 0.494081i
\(101\) 4.74629 + 2.74027i 0.472273 + 0.272667i 0.717191 0.696877i \(-0.245428\pi\)
−0.244917 + 0.969544i \(0.578761\pi\)
\(102\) 2.94620 + 1.70099i 0.291718 + 0.168423i
\(103\) 0.979342 + 0.979342i 0.0964974 + 0.0964974i 0.753707 0.657210i \(-0.228264\pi\)
−0.657210 + 0.753707i \(0.728264\pi\)
\(104\) 3.36345 + 1.29893i 0.329813 + 0.127371i
\(105\) 0.138436 0.0662901i 0.0135099 0.00646925i
\(106\) 2.00745 + 7.49191i 0.194981 + 0.727679i
\(107\) 10.4550 2.80142i 1.01073 0.270824i 0.284794 0.958589i \(-0.408075\pi\)
0.725933 + 0.687765i \(0.241408\pi\)
\(108\) −0.258819 + 0.965926i −0.0249049 + 0.0929463i
\(109\) 8.33989 + 8.33989i 0.798817 + 0.798817i 0.982909 0.184092i \(-0.0589346\pi\)
−0.184092 + 0.982909i \(0.558935\pi\)
\(110\) 9.99688 + 6.84821i 0.953165 + 0.652951i
\(111\) 1.14001 4.25457i 0.108205 0.403826i
\(112\) 0.0686422i 0.00648608i
\(113\) 19.3553 + 5.18622i 1.82079 + 0.487879i 0.996886 0.0788523i \(-0.0251255\pi\)
0.823903 + 0.566731i \(0.191792\pi\)
\(114\) 0.570838 0.988721i 0.0534639 0.0926022i
\(115\) 0.307640 3.98678i 0.0286876 0.371769i
\(116\) 3.89470i 0.361614i
\(117\) −3.56230 + 0.556815i −0.329334 + 0.0514775i
\(118\) −4.02315 + 4.02315i −0.370361 + 0.370361i
\(119\) 0.225563 0.0604393i 0.0206773 0.00554046i
\(120\) −2.22944 0.172035i −0.203519 0.0157046i
\(121\) 15.9064 9.18357i 1.44604 0.834870i
\(122\) −7.75759 −0.702339
\(123\) −4.93055 + 2.84665i −0.444572 + 0.256674i
\(124\) 3.13184 + 0.839174i 0.281247 + 0.0753600i
\(125\) 9.50594 5.88533i 0.850237 0.526400i
\(126\) 0.0343211 + 0.0594459i 0.00305757 + 0.00529586i
\(127\) −2.74887 10.2589i −0.243922 0.910331i −0.973922 0.226883i \(-0.927146\pi\)
0.730000 0.683448i \(-0.239520\pi\)
\(128\) −0.500000 + 0.866025i −0.0441942 + 0.0765466i
\(129\) 8.86030 0.780106
\(130\) −2.68744 7.60116i −0.235704 0.666666i
\(131\) −19.3910 −1.69420 −0.847100 0.531433i \(-0.821654\pi\)
−0.847100 + 0.531433i \(0.821654\pi\)
\(132\) −2.70957 + 4.69312i −0.235838 + 0.408483i
\(133\) −0.0202829 0.0756969i −0.00175875 0.00656376i
\(134\) −0.519343 0.899528i −0.0448644 0.0777074i
\(135\) 2.01677 0.965733i 0.173576 0.0831171i
\(136\) −3.28606 0.880498i −0.281778 0.0755021i
\(137\) −10.4204 + 6.01623i −0.890276 + 0.514001i −0.874033 0.485867i \(-0.838504\pi\)
−0.0162432 + 0.999868i \(0.505171\pi\)
\(138\) 1.78824 0.152225
\(139\) −3.76993 + 2.17657i −0.319761 + 0.184614i −0.651286 0.758832i \(-0.725770\pi\)
0.331525 + 0.943447i \(0.392437\pi\)
\(140\) −0.116561 + 0.0998611i −0.00985123 + 0.00843980i
\(141\) −9.15906 + 2.45416i −0.771332 + 0.206678i
\(142\) 3.66449 3.66449i 0.307517 0.307517i
\(143\) −19.4278 2.08176i −1.62463 0.174085i
\(144\) 1.00000i 0.0833333i
\(145\) −6.61359 + 5.66603i −0.549229 + 0.470538i
\(146\) −5.91822 + 10.2507i −0.489796 + 0.848351i
\(147\) −6.75693 1.81051i −0.557302 0.149329i
\(148\) 4.40465i 0.362060i
\(149\) 4.34708 16.2235i 0.356126 1.32908i −0.522935 0.852373i \(-0.675163\pi\)
0.879061 0.476709i \(-0.158171\pi\)
\(150\) 2.95127 + 4.03609i 0.240970 + 0.329545i
\(151\) 0.226120 + 0.226120i 0.0184014 + 0.0184014i 0.716248 0.697846i \(-0.245858\pi\)
−0.697846 + 0.716248i \(0.745858\pi\)
\(152\) −0.295488 + 1.10278i −0.0239672 + 0.0894469i
\(153\) 3.28606 0.880498i 0.265662 0.0711840i
\(154\) 0.0962761 + 0.359307i 0.00775815 + 0.0289538i
\(155\) −3.13122 6.53901i −0.251505 0.525226i
\(156\) 3.29680 1.45983i 0.263955 0.116880i
\(157\) −16.0083 16.0083i −1.27760 1.27760i −0.942006 0.335597i \(-0.891062\pi\)
−0.335597 0.942006i \(-0.608938\pi\)
\(158\) −10.0296 5.79057i −0.797910 0.460673i
\(159\) 6.71707 + 3.87810i 0.532698 + 0.307553i
\(160\) 2.19800 0.410849i 0.173767 0.0324804i
\(161\) 0.0867966 0.0867966i 0.00684053 0.00684053i
\(162\) 0.500000 + 0.866025i 0.0392837 + 0.0680414i
\(163\) −5.72153 9.90998i −0.448145 0.776209i 0.550121 0.835085i \(-0.314582\pi\)
−0.998265 + 0.0588758i \(0.981248\pi\)
\(164\) 4.02577 4.02577i 0.314360 0.314360i
\(165\) 11.9113 2.22645i 0.927292 0.173329i
\(166\) −4.27594 2.46871i −0.331877 0.191609i
\(167\) −5.79193 3.34397i −0.448193 0.258764i 0.258874 0.965911i \(-0.416649\pi\)
−0.707067 + 0.707147i \(0.749982\pi\)
\(168\) −0.0485374 0.0485374i −0.00374474 0.00374474i
\(169\) 9.62555 + 8.73778i 0.740427 + 0.672137i
\(170\) 3.28541 + 6.86102i 0.251979 + 0.526216i
\(171\) −0.295488 1.10278i −0.0225965 0.0843313i
\(172\) −8.55839 + 2.29321i −0.652571 + 0.174856i
\(173\) 4.22203 15.7568i 0.320995 1.19797i −0.597282 0.802031i \(-0.703753\pi\)
0.918277 0.395938i \(-0.129580\pi\)
\(174\) −2.75397 2.75397i −0.208778 0.208778i
\(175\) 0.339148 + 0.0526543i 0.0256372 + 0.00398029i
\(176\) 1.40258 5.23449i 0.105723 0.394565i
\(177\) 5.68959i 0.427656i
\(178\) −0.206341 0.0552889i −0.0154659 0.00414408i
\(179\) −7.70365 + 13.3431i −0.575798 + 0.997312i 0.420156 + 0.907452i \(0.361975\pi\)
−0.995954 + 0.0898598i \(0.971358\pi\)
\(180\) −1.69810 + 1.45481i −0.126569 + 0.108435i
\(181\) 9.32410i 0.693055i 0.938040 + 0.346527i \(0.112639\pi\)
−0.938040 + 0.346527i \(0.887361\pi\)
\(182\) 0.0891616 0.230874i 0.00660910 0.0171136i
\(183\) −5.48544 + 5.48544i −0.405496 + 0.405496i
\(184\) −1.72731 + 0.462831i −0.127339 + 0.0341204i
\(185\) 7.47954 6.40791i 0.549907 0.471119i
\(186\) 2.80793 1.62116i 0.205887 0.118869i
\(187\) 18.4358 1.34816
\(188\) 8.21179 4.74108i 0.598906 0.345779i
\(189\) 0.0663033 + 0.0177659i 0.00482285 + 0.00129228i
\(190\) 2.30250 1.10256i 0.167041 0.0799878i
\(191\) −12.1228 20.9972i −0.877172 1.51931i −0.854431 0.519566i \(-0.826094\pi\)
−0.0227417 0.999741i \(-0.507240\pi\)
\(192\) 0.258819 + 0.965926i 0.0186787 + 0.0697097i
\(193\) −12.4943 + 21.6408i −0.899361 + 1.55774i −0.0710490 + 0.997473i \(0.522635\pi\)
−0.828312 + 0.560267i \(0.810699\pi\)
\(194\) −13.8837 −0.996795
\(195\) −7.27514 3.47452i −0.520984 0.248816i
\(196\) 6.99529 0.499663
\(197\) 3.51714 6.09186i 0.250586 0.434027i −0.713101 0.701061i \(-0.752710\pi\)
0.963687 + 0.267034i \(0.0860434\pi\)
\(198\) 1.40258 + 5.23449i 0.0996769 + 0.371999i
\(199\) −11.0905 19.2092i −0.786182 1.36171i −0.928290 0.371856i \(-0.878721\pi\)
0.142108 0.989851i \(-0.454612\pi\)
\(200\) −3.89532 3.13472i −0.275441 0.221658i
\(201\) −1.00329 0.268832i −0.0707669 0.0189619i
\(202\) −4.74629 + 2.74027i −0.333948 + 0.192805i
\(203\) −0.267341 −0.0187637
\(204\) −2.94620 + 1.70099i −0.206276 + 0.119093i
\(205\) −12.6929 0.979448i −0.886509 0.0684076i
\(206\) −1.33781 + 0.358464i −0.0932094 + 0.0249754i
\(207\) 1.26448 1.26448i 0.0878873 0.0878873i
\(208\) −2.80663 + 2.26336i −0.194605 + 0.156936i
\(209\) 6.18691i 0.427958i
\(210\) −0.0118089 + 0.153034i −0.000814889 + 0.0105603i
\(211\) −10.1019 + 17.4970i −0.695443 + 1.20454i 0.274588 + 0.961562i \(0.411459\pi\)
−0.970031 + 0.242981i \(0.921875\pi\)
\(212\) −7.49191 2.00745i −0.514547 0.137872i
\(213\) 5.18237i 0.355090i
\(214\) −2.80142 + 10.4550i −0.191501 + 0.714692i
\(215\) 16.3449 + 11.1968i 1.11471 + 0.763617i
\(216\) −0.707107 0.707107i −0.0481125 0.0481125i
\(217\) 0.0576027 0.214976i 0.00391033 0.0145935i
\(218\) −11.3925 + 3.05261i −0.771598 + 0.206749i
\(219\) 3.06350 + 11.4331i 0.207012 + 0.772579i
\(220\) −10.9292 + 5.23345i −0.736844 + 0.352839i
\(221\) −9.90879 7.22988i −0.666537 0.486335i
\(222\) 3.11456 + 3.11456i 0.209036 + 0.209036i
\(223\) 15.7603 + 9.09923i 1.05539 + 0.609329i 0.924153 0.382022i \(-0.124772\pi\)
0.131236 + 0.991351i \(0.458105\pi\)
\(224\) 0.0594459 + 0.0343211i 0.00397190 + 0.00229318i
\(225\) 4.94081 + 0.767084i 0.329387 + 0.0511389i
\(226\) −14.1690 + 14.1690i −0.942510 + 0.942510i
\(227\) 7.93810 + 13.7492i 0.526870 + 0.912566i 0.999510 + 0.0313104i \(0.00996804\pi\)
−0.472639 + 0.881256i \(0.656699\pi\)
\(228\) 0.570838 + 0.988721i 0.0378047 + 0.0654797i
\(229\) 6.57629 6.57629i 0.434573 0.434573i −0.455608 0.890181i \(-0.650578\pi\)
0.890181 + 0.455608i \(0.150578\pi\)
\(230\) 3.29883 + 2.25981i 0.217519 + 0.149008i
\(231\) 0.322146 + 0.185991i 0.0211956 + 0.0122373i
\(232\) 3.37291 + 1.94735i 0.221442 + 0.127850i
\(233\) −16.6848 16.6848i −1.09306 1.09306i −0.995200 0.0978582i \(-0.968801\pi\)
−0.0978582 0.995200i \(-0.531199\pi\)
\(234\) 1.29893 3.36345i 0.0849139 0.219875i
\(235\) −19.9974 7.04709i −1.30448 0.459701i
\(236\) −1.47258 5.49573i −0.0958565 0.357741i
\(237\) −11.1865 + 2.99742i −0.726643 + 0.194703i
\(238\) −0.0604393 + 0.225563i −0.00391770 + 0.0146211i
\(239\) −13.8547 13.8547i −0.896186 0.896186i 0.0989101 0.995096i \(-0.468464\pi\)
−0.995096 + 0.0989101i \(0.968464\pi\)
\(240\) 1.26371 1.84473i 0.0815719 0.119077i
\(241\) −1.30150 + 4.85725i −0.0838368 + 0.312883i −0.995091 0.0989604i \(-0.968448\pi\)
0.911255 + 0.411843i \(0.135115\pi\)
\(242\) 18.3671i 1.18068i
\(243\) 0.965926 + 0.258819i 0.0619642 + 0.0166032i
\(244\) 3.87879 6.71827i 0.248314 0.430093i
\(245\) −10.1768 11.8787i −0.650171 0.758902i
\(246\) 5.69330i 0.362992i
\(247\) −2.42629 + 3.32531i −0.154381 + 0.211584i
\(248\) −2.29267 + 2.29267i −0.145584 + 0.145584i
\(249\) −4.76919 + 1.27790i −0.302235 + 0.0809837i
\(250\) 0.343874 + 11.1751i 0.0217485 + 0.706772i
\(251\) 23.9886 13.8498i 1.51415 0.874192i 0.514282 0.857621i \(-0.328058\pi\)
0.999863 0.0165711i \(-0.00527499\pi\)
\(252\) −0.0686422 −0.00432405
\(253\) 8.39243 4.84537i 0.527628 0.304626i
\(254\) 10.2589 + 2.74887i 0.643701 + 0.172479i
\(255\) 7.17461 + 2.52834i 0.449291 + 0.158331i
\(256\) −0.500000 0.866025i −0.0312500 0.0541266i
\(257\) 3.93242 + 14.6760i 0.245297 + 0.915463i 0.973234 + 0.229818i \(0.0738130\pi\)
−0.727936 + 0.685645i \(0.759520\pi\)
\(258\) −4.43015 + 7.67324i −0.275809 + 0.477715i
\(259\) 0.302345 0.0187868
\(260\) 7.92652 + 1.47319i 0.491582 + 0.0913632i
\(261\) −3.89470 −0.241076
\(262\) 9.69551 16.7931i 0.598990 1.03748i
\(263\) 2.68104 + 10.0058i 0.165320 + 0.616982i 0.997999 + 0.0632266i \(0.0201391\pi\)
−0.832679 + 0.553755i \(0.813194\pi\)
\(264\) −2.70957 4.69312i −0.166763 0.288841i
\(265\) 7.49042 + 15.6425i 0.460133 + 0.960909i
\(266\) 0.0756969 + 0.0202829i 0.00464128 + 0.00124363i
\(267\) −0.185000 + 0.106810i −0.0113218 + 0.00653666i
\(268\) 1.03869 0.0634478
\(269\) 3.23208 1.86604i 0.197063 0.113775i −0.398222 0.917289i \(-0.630372\pi\)
0.595285 + 0.803515i \(0.297039\pi\)
\(270\) −0.172035 + 2.22944i −0.0104697 + 0.135679i
\(271\) −14.9084 + 3.99471i −0.905624 + 0.242661i −0.681430 0.731883i \(-0.738642\pi\)
−0.224194 + 0.974545i \(0.571975\pi\)
\(272\) 2.40557 2.40557i 0.145859 0.145859i
\(273\) −0.100206 0.226300i −0.00606475 0.0136963i
\(274\) 12.0325i 0.726907i
\(275\) 24.7867 + 10.9452i 1.49470 + 0.660018i
\(276\) −0.894121 + 1.54866i −0.0538198 + 0.0932186i
\(277\) 24.5106 + 6.56759i 1.47270 + 0.394609i 0.903856 0.427837i \(-0.140724\pi\)
0.568843 + 0.822446i \(0.307391\pi\)
\(278\) 4.35314i 0.261084i
\(279\) 0.839174 3.13184i 0.0502400 0.187498i
\(280\) −0.0282016 0.150876i −0.00168537 0.00901654i
\(281\) −8.33382 8.33382i −0.497154 0.497154i 0.413397 0.910551i \(-0.364342\pi\)
−0.910551 + 0.413397i \(0.864342\pi\)
\(282\) 2.45416 9.15906i 0.146143 0.545414i
\(283\) 20.4416 5.47731i 1.21513 0.325592i 0.406355 0.913715i \(-0.366799\pi\)
0.808772 + 0.588123i \(0.200133\pi\)
\(284\) 1.34130 + 5.00578i 0.0795912 + 0.297039i
\(285\) 0.848488 2.40774i 0.0502601 0.142622i
\(286\) 11.5167 15.7841i 0.681000 0.933332i
\(287\) −0.276338 0.276338i −0.0163117 0.0163117i
\(288\) 0.866025 + 0.500000i 0.0510310 + 0.0294628i
\(289\) −4.69950 2.71326i −0.276441 0.159603i
\(290\) −1.60013 8.56055i −0.0939630 0.502693i
\(291\) −9.81729 + 9.81729i −0.575500 + 0.575500i
\(292\) −5.91822 10.2507i −0.346338 0.599875i
\(293\) −5.35665 9.27799i −0.312939 0.542026i 0.666058 0.745900i \(-0.267980\pi\)
−0.978997 + 0.203874i \(0.934647\pi\)
\(294\) 4.94642 4.94642i 0.288481 0.288481i
\(295\) −7.18998 + 10.4958i −0.418617 + 0.611088i
\(296\) −3.81454 2.20233i −0.221716 0.128008i
\(297\) 4.69312 + 2.70957i 0.272322 + 0.157225i
\(298\) 11.8764 + 11.8764i 0.687983 + 0.687983i
\(299\) −6.41090 0.686951i −0.370752 0.0397274i
\(300\) −4.97099 + 0.537829i −0.287000 + 0.0310516i
\(301\) 0.157411 + 0.587467i 0.00907303 + 0.0338610i
\(302\) −0.308886 + 0.0827656i −0.0177744 + 0.00476263i
\(303\) −1.41847 + 5.29380i −0.0814889 + 0.304121i
\(304\) −0.807288 0.807288i −0.0463011 0.0463011i
\(305\) −17.0512 + 3.18719i −0.976348 + 0.182498i
\(306\) −0.880498 + 3.28606i −0.0503347 + 0.187852i
\(307\) 18.5230i 1.05716i −0.848882 0.528582i \(-0.822724\pi\)
0.848882 0.528582i \(-0.177276\pi\)
\(308\) −0.359307 0.0962761i −0.0204734 0.00548584i
\(309\) −0.692499 + 1.19944i −0.0393949 + 0.0682340i
\(310\) 7.22855 + 0.557792i 0.410554 + 0.0316805i
\(311\) 2.97373i 0.168625i −0.996439 0.0843124i \(-0.973131\pi\)
0.996439 0.0843124i \(-0.0268694\pi\)
\(312\) −0.384149 + 3.58503i −0.0217481 + 0.202962i
\(313\) 9.69581 9.69581i 0.548040 0.548040i −0.377834 0.925873i \(-0.623331\pi\)
0.925873 + 0.377834i \(0.123331\pi\)
\(314\) 21.8678 5.85945i 1.23407 0.330668i
\(315\) 0.0998611 + 0.116561i 0.00562653 + 0.00656749i
\(316\) 10.0296 5.79057i 0.564207 0.325745i
\(317\) 6.45697 0.362659 0.181330 0.983422i \(-0.441960\pi\)
0.181330 + 0.983422i \(0.441960\pi\)
\(318\) −6.71707 + 3.87810i −0.376674 + 0.217473i
\(319\) −20.3868 5.46262i −1.14144 0.305848i
\(320\) −0.743195 + 2.10895i −0.0415458 + 0.117894i
\(321\) 5.41193 + 9.37374i 0.302064 + 0.523191i
\(322\) 0.0317698 + 0.118566i 0.00177046 + 0.00660745i
\(323\) 1.94198 3.36361i 0.108055 0.187156i
\(324\) −1.00000 −0.0555556
\(325\) −9.02992 15.6032i −0.500890 0.865511i
\(326\) 11.4431 0.633772
\(327\) −5.89719 + 10.2142i −0.326116 + 0.564849i
\(328\) 1.47354 + 5.49931i 0.0813624 + 0.303649i
\(329\) −0.325438 0.563675i −0.0179420 0.0310764i
\(330\) −4.02748 + 11.4287i −0.221705 + 0.629129i
\(331\) 19.5523 + 5.23904i 1.07469 + 0.287963i 0.752420 0.658683i \(-0.228886\pi\)
0.322274 + 0.946647i \(0.395553\pi\)
\(332\) 4.27594 2.46871i 0.234673 0.135488i
\(333\) 4.40465 0.241374
\(334\) 5.79193 3.34397i 0.316920 0.182974i
\(335\) −1.51109 1.76379i −0.0825594 0.0963663i
\(336\) 0.0663033 0.0177659i 0.00361714 0.000969210i
\(337\) 14.2043 14.2043i 0.773758 0.773758i −0.205004 0.978761i \(-0.565721\pi\)
0.978761 + 0.205004i \(0.0657206\pi\)
\(338\) −12.3799 + 3.96708i −0.673379 + 0.215781i
\(339\) 20.0380i 1.08832i
\(340\) −7.58452 0.585260i −0.411328 0.0317402i
\(341\) 8.78530 15.2166i 0.475750 0.824024i
\(342\) 1.10278 + 0.295488i 0.0596313 + 0.0159781i
\(343\) 0.960668i 0.0518712i
\(344\) 2.29321 8.55839i 0.123642 0.461437i
\(345\) 3.93056 0.734697i 0.211614 0.0395548i
\(346\) 11.5348 + 11.5348i 0.620114 + 0.620114i
\(347\) −7.25007 + 27.0576i −0.389204 + 1.45253i 0.442228 + 0.896903i \(0.354188\pi\)
−0.831432 + 0.555626i \(0.812479\pi\)
\(348\) 3.76199 1.00802i 0.201664 0.0540357i
\(349\) 5.33144 + 19.8972i 0.285385 + 1.06507i 0.948557 + 0.316606i \(0.102543\pi\)
−0.663172 + 0.748467i \(0.730790\pi\)
\(350\) −0.215174 + 0.267384i −0.0115015 + 0.0142923i
\(351\) −1.45983 3.29680i −0.0779201 0.175970i
\(352\) 3.83191 + 3.83191i 0.204242 + 0.204242i
\(353\) 4.88014 + 2.81755i 0.259744 + 0.149963i 0.624218 0.781251i \(-0.285418\pi\)
−0.364474 + 0.931214i \(0.618751\pi\)
\(354\) −4.92733 2.84480i −0.261885 0.151199i
\(355\) 6.54899 9.56009i 0.347584 0.507397i
\(356\) 0.151052 0.151052i 0.00800574 0.00800574i
\(357\) 0.116760 + 0.202234i 0.00617959 + 0.0107034i
\(358\) −7.70365 13.3431i −0.407151 0.705206i
\(359\) −6.89818 + 6.89818i −0.364072 + 0.364072i −0.865310 0.501238i \(-0.832878\pi\)
0.501238 + 0.865310i \(0.332878\pi\)
\(360\) −0.410849 2.19800i −0.0216536 0.115845i
\(361\) 15.3257 + 8.84829i 0.806615 + 0.465699i
\(362\) −8.07491 4.66205i −0.424408 0.245032i
\(363\) 12.9875 + 12.9875i 0.681668 + 0.681668i
\(364\) 0.155362 + 0.192653i 0.00814320 + 0.0100978i
\(365\) −8.79678 + 24.9624i −0.460445 + 1.30659i
\(366\) −2.00781 7.49325i −0.104950 0.391679i
\(367\) 10.1032 2.70714i 0.527382 0.141311i 0.0147027 0.999892i \(-0.495320\pi\)
0.512679 + 0.858580i \(0.328653\pi\)
\(368\) 0.462831 1.72731i 0.0241267 0.0900423i
\(369\) −4.02577 4.02577i −0.209573 0.209573i
\(370\) 1.80965 + 9.68143i 0.0940790 + 0.503313i
\(371\) −0.137796 + 0.514262i −0.00715401 + 0.0266991i
\(372\) 3.24232i 0.168106i
\(373\) 6.36085 + 1.70438i 0.329352 + 0.0882497i 0.419706 0.907660i \(-0.362133\pi\)
−0.0903539 + 0.995910i \(0.528800\pi\)
\(374\) −9.21792 + 15.9659i −0.476647 + 0.825577i
\(375\) 8.14511 + 7.65880i 0.420612 + 0.395499i
\(376\) 9.48215i 0.489005i
\(377\) 8.81513 + 10.9310i 0.454002 + 0.562975i
\(378\) −0.0485374 + 0.0485374i −0.00249649 + 0.00249649i
\(379\) −7.82771 + 2.09743i −0.402083 + 0.107738i −0.454192 0.890904i \(-0.650072\pi\)
0.0521097 + 0.998641i \(0.483405\pi\)
\(380\) −0.196408 + 2.54530i −0.0100755 + 0.130571i
\(381\) 9.19789 5.31040i 0.471222 0.272060i
\(382\) 24.2455 1.24051
\(383\) 11.1323 6.42723i 0.568833 0.328416i −0.187850 0.982198i \(-0.560152\pi\)
0.756683 + 0.653782i \(0.226819\pi\)
\(384\) −0.965926 0.258819i −0.0492922 0.0132078i
\(385\) 0.359236 + 0.750202i 0.0183083 + 0.0382338i
\(386\) −12.4943 21.6408i −0.635944 1.10149i
\(387\) 2.29321 + 8.55839i 0.116571 + 0.435047i
\(388\) 6.94187 12.0237i 0.352420 0.610410i
\(389\) −38.1804 −1.93582 −0.967912 0.251288i \(-0.919146\pi\)
−0.967912 + 0.251288i \(0.919146\pi\)
\(390\) 6.64660 4.56320i 0.336563 0.231066i
\(391\) 6.08357 0.307659
\(392\) −3.49764 + 6.05810i −0.176658 + 0.305980i
\(393\) −5.01876 18.7303i −0.253163 0.944818i
\(394\) 3.51714 + 6.09186i 0.177191 + 0.306904i
\(395\) −24.4240 8.60705i −1.22891 0.433068i
\(396\) −5.23449 1.40258i −0.263043 0.0704822i
\(397\) −20.8904 + 12.0611i −1.04846 + 0.605327i −0.922217 0.386673i \(-0.873624\pi\)
−0.126240 + 0.992000i \(0.540291\pi\)
\(398\) 22.1809 1.11183
\(399\) 0.0678680 0.0391836i 0.00339765 0.00196163i
\(400\) 4.66241 1.80609i 0.233120 0.0903045i
\(401\) 37.2272 9.97501i 1.85904 0.498128i 0.859133 0.511753i \(-0.171004\pi\)
0.999907 + 0.0136248i \(0.00433704\pi\)
\(402\) 0.734462 0.734462i 0.0366316 0.0366316i
\(403\) −10.6893 + 4.73324i −0.532471 + 0.235779i
\(404\) 5.48054i 0.272667i
\(405\) 1.45481 + 1.69810i 0.0722899 + 0.0843792i
\(406\) 0.133670 0.231524i 0.00663395 0.0114903i
\(407\) 23.0561 + 6.17787i 1.14285 + 0.306226i
\(408\) 3.40198i 0.168423i
\(409\) −4.59831 + 17.1611i −0.227372 + 0.848564i 0.754068 + 0.656796i \(0.228089\pi\)
−0.981440 + 0.191768i \(0.938578\pi\)
\(410\) 7.19467 10.5026i 0.355319 0.518688i
\(411\) −8.50823 8.50823i −0.419680 0.419680i
\(412\) 0.358464 1.33781i 0.0176603 0.0659090i
\(413\) −0.377239 + 0.101081i −0.0185627 + 0.00497386i
\(414\) 0.462831 + 1.72731i 0.0227469 + 0.0848927i
\(415\) −10.4128 3.66947i −0.511143 0.180127i
\(416\) −0.556815 3.56230i −0.0273001 0.174656i
\(417\) −3.07814 3.07814i −0.150737 0.150737i
\(418\) 5.35802 + 3.09346i 0.262070 + 0.151306i
\(419\) 4.08722 + 2.35976i 0.199674 + 0.115282i 0.596503 0.802611i \(-0.296556\pi\)
−0.396829 + 0.917892i \(0.629890\pi\)
\(420\) −0.126627 0.0867436i −0.00617875 0.00423266i
\(421\) −16.2123 + 16.2123i −0.790137 + 0.790137i −0.981516 0.191379i \(-0.938704\pi\)
0.191379 + 0.981516i \(0.438704\pi\)
\(422\) −10.1019 17.4970i −0.491753 0.851741i
\(423\) −4.74108 8.21179i −0.230519 0.399271i
\(424\) 5.48446 5.48446i 0.266349 0.266349i
\(425\) 10.0402 + 13.7307i 0.487020 + 0.666037i
\(426\) 4.48806 + 2.59118i 0.217447 + 0.125543i
\(427\) −0.461157 0.266249i −0.0223169 0.0128847i
\(428\) −7.65363 7.65363i −0.369952 0.369952i
\(429\) −3.01746 19.3046i −0.145684 0.932035i
\(430\) −17.8692 + 8.55668i −0.861728 + 0.412640i
\(431\) 6.81996 + 25.4525i 0.328506 + 1.22600i 0.910740 + 0.412980i \(0.135512\pi\)
−0.582234 + 0.813021i \(0.697821\pi\)
\(432\) 0.965926 0.258819i 0.0464731 0.0124524i
\(433\) −5.18896 + 19.3655i −0.249366 + 0.930645i 0.721773 + 0.692130i \(0.243327\pi\)
−0.971139 + 0.238515i \(0.923339\pi\)
\(434\) 0.157374 + 0.157374i 0.00755418 + 0.00755418i
\(435\) −7.18469 4.92176i −0.344480 0.235980i
\(436\) 3.05261 11.3925i 0.146194 0.545602i
\(437\) 2.04160i 0.0976628i
\(438\) −11.4331 3.06350i −0.546296 0.146380i
\(439\) −3.87810 + 6.71707i −0.185092 + 0.320588i −0.943607 0.331067i \(-0.892592\pi\)
0.758516 + 0.651655i \(0.225925\pi\)
\(440\) 0.932283 12.0817i 0.0444448 0.575971i
\(441\) 6.99529i 0.333109i
\(442\) 11.2157 4.96632i 0.533474 0.236224i
\(443\) −7.27869 + 7.27869i −0.345821 + 0.345821i −0.858550 0.512729i \(-0.828634\pi\)
0.512729 + 0.858550i \(0.328634\pi\)
\(444\) −4.25457 + 1.14001i −0.201913 + 0.0541024i
\(445\) −0.476253 0.0367501i −0.0225765 0.00174212i
\(446\) −15.7603 + 9.09923i −0.746273 + 0.430861i
\(447\) 16.7958 0.794415
\(448\) −0.0594459 + 0.0343211i −0.00280855 + 0.00162152i
\(449\) −1.50763 0.403969i −0.0711496 0.0190645i 0.223069 0.974803i \(-0.428393\pi\)
−0.294218 + 0.955738i \(0.595059\pi\)
\(450\) −3.13472 + 3.89532i −0.147772 + 0.183627i
\(451\) −15.4264 26.7193i −0.726402 1.25816i
\(452\) −5.18622 19.3553i −0.243939 0.910395i
\(453\) −0.159891 + 0.276939i −0.00751233 + 0.0130117i
\(454\) −15.8762 −0.745107
\(455\) 0.101123 0.544094i 0.00474071 0.0255075i
\(456\) −1.14168 −0.0534639
\(457\) 4.43984 7.69003i 0.207687 0.359725i −0.743298 0.668960i \(-0.766740\pi\)
0.950986 + 0.309235i \(0.100073\pi\)
\(458\) 2.40709 + 8.98337i 0.112476 + 0.419766i
\(459\) 1.70099 + 2.94620i 0.0793955 + 0.137517i
\(460\) −3.60647 + 1.72697i −0.168153 + 0.0805202i
\(461\) 9.36262 + 2.50871i 0.436061 + 0.116842i 0.470170 0.882576i \(-0.344193\pi\)
−0.0341090 + 0.999418i \(0.510859\pi\)
\(462\) −0.322146 + 0.185991i −0.0149876 + 0.00865309i
\(463\) 0.374437 0.0174015 0.00870077 0.999962i \(-0.497230\pi\)
0.00870077 + 0.999962i \(0.497230\pi\)
\(464\) −3.37291 + 1.94735i −0.156583 + 0.0904035i
\(465\) 5.50578 4.71694i 0.255324 0.218743i
\(466\) 22.7919 6.10707i 1.05581 0.282904i
\(467\) 28.2026 28.2026i 1.30506 1.30506i 0.380122 0.924936i \(-0.375882\pi\)
0.924936 0.380122i \(-0.124118\pi\)
\(468\) 2.26336 + 2.80663i 0.104624 + 0.129737i
\(469\) 0.0712977i 0.00329222i
\(470\) 16.1016 13.7947i 0.742713 0.636301i
\(471\) 11.3196 19.6061i 0.521579 0.903401i
\(472\) 5.49573 + 1.47258i 0.252961 + 0.0677808i
\(473\) 48.0152i 2.20774i
\(474\) 2.99742 11.1865i 0.137676 0.513814i
\(475\) 4.60791 3.36940i 0.211425 0.154598i
\(476\) −0.165123 0.165123i −0.00756842 0.00756842i
\(477\) −2.00745 + 7.49191i −0.0919149 + 0.343031i
\(478\) 18.9259 5.07117i 0.865649 0.231950i
\(479\) −8.58585 32.0428i −0.392297 1.46407i −0.826335 0.563179i \(-0.809578\pi\)
0.434038 0.900895i \(-0.357088\pi\)
\(480\) 0.965733 + 2.01677i 0.0440795 + 0.0920525i
\(481\) −9.96933 12.3622i −0.454562 0.563670i
\(482\) −3.55576 3.55576i −0.161960 0.161960i
\(483\) 0.106304 + 0.0613745i 0.00483699 + 0.00279264i
\(484\) −15.9064 9.18357i −0.723018 0.417435i
\(485\) −30.5165 + 5.70411i −1.38568 + 0.259011i
\(486\) −0.707107 + 0.707107i −0.0320750 + 0.0320750i
\(487\) −8.43618 14.6119i −0.382280 0.662128i 0.609108 0.793087i \(-0.291528\pi\)
−0.991388 + 0.130959i \(0.958194\pi\)
\(488\) 3.87879 + 6.71827i 0.175585 + 0.304122i
\(489\) 8.09146 8.09146i 0.365909 0.365909i
\(490\) 15.3756 2.87400i 0.694601 0.129834i
\(491\) 33.3926 + 19.2792i 1.50699 + 0.870060i 0.999967 + 0.00812541i \(0.00258643\pi\)
0.507020 + 0.861934i \(0.330747\pi\)
\(492\) 4.93055 + 2.84665i 0.222286 + 0.128337i
\(493\) −9.36896 9.36896i −0.421957 0.421957i
\(494\) −1.66666 3.76388i −0.0749864 0.169345i
\(495\) 5.23345 + 10.9292i 0.235226 + 0.491229i
\(496\) −0.839174 3.13184i −0.0376800 0.140624i
\(497\) 0.343608 0.0920695i 0.0154129 0.00412988i
\(498\) 1.27790 4.76919i 0.0572641 0.213713i
\(499\) −12.4800 12.4800i −0.558682 0.558682i 0.370250 0.928932i \(-0.379272\pi\)
−0.928932 + 0.370250i \(0.879272\pi\)
\(500\) −9.84981 5.28972i −0.440497 0.236564i
\(501\) 1.73097 6.46006i 0.0773339 0.288614i
\(502\) 27.6996i 1.23629i
\(503\) 11.1930 + 2.99916i 0.499072 + 0.133726i 0.499569 0.866274i \(-0.333492\pi\)
−0.000497269 1.00000i \(0.500158\pi\)
\(504\) 0.0343211 0.0594459i 0.00152878 0.00264793i
\(505\) −9.30651 + 7.97312i −0.414134 + 0.354799i
\(506\) 9.69075i 0.430806i
\(507\) −5.94877 + 11.5591i −0.264194 + 0.513356i
\(508\) −7.51004 + 7.51004i −0.333204 + 0.333204i
\(509\) 2.85834 0.765891i 0.126694 0.0339475i −0.194915 0.980820i \(-0.562443\pi\)
0.321609 + 0.946873i \(0.395776\pi\)
\(510\) −5.77691 + 4.94922i −0.255806 + 0.219155i
\(511\) −0.703628 + 0.406240i −0.0311267 + 0.0179710i
\(512\) 1.00000 0.0441942
\(513\) 0.988721 0.570838i 0.0436531 0.0252031i
\(514\) −14.6760 3.93242i −0.647330 0.173452i
\(515\) −2.79322 + 1.33754i −0.123084 + 0.0589390i
\(516\) −4.43015 7.67324i −0.195026 0.337796i
\(517\) −13.2995 49.6343i −0.584910 2.18291i
\(518\) −0.151173 + 0.261839i −0.00664214 + 0.0115045i
\(519\) 16.3127 0.716046
\(520\) −5.23908 + 6.12797i −0.229749 + 0.268729i
\(521\) 7.20237 0.315542 0.157771 0.987476i \(-0.449569\pi\)
0.157771 + 0.987476i \(0.449569\pi\)
\(522\) 1.94735 3.37291i 0.0852332 0.147628i
\(523\) −3.54489 13.2297i −0.155007 0.578495i −0.999105 0.0423053i \(-0.986530\pi\)
0.844097 0.536190i \(-0.180137\pi\)
\(524\) 9.69551 + 16.7931i 0.423550 + 0.733610i
\(525\) 0.0369178 + 0.341220i 0.00161122 + 0.0148921i
\(526\) −10.0058 2.68104i −0.436272 0.116899i
\(527\) 9.55253 5.51516i 0.416115 0.240244i
\(528\) 5.41914 0.235838
\(529\) −17.1492 + 9.90109i −0.745617 + 0.430482i
\(530\) −17.2920 1.33434i −0.751116 0.0579599i
\(531\) −5.49573 + 1.47258i −0.238494 + 0.0639043i
\(532\) −0.0554140 + 0.0554140i −0.00240250 + 0.00240250i
\(533\) −2.18707 + 20.4107i −0.0947327 + 0.884084i
\(534\) 0.213620i 0.00924423i
\(535\) −1.86208 + 24.1312i −0.0805049 + 1.04328i
\(536\) −0.519343 + 0.899528i −0.0224322 + 0.0388537i
\(537\) −14.8823 3.98770i −0.642219 0.172082i
\(538\) 3.73208i 0.160902i
\(539\) 9.81144 36.6168i 0.422608 1.57720i
\(540\) −1.84473 1.26371i −0.0793847 0.0543813i
\(541\) −6.11226 6.11226i −0.262787 0.262787i 0.563399 0.826185i \(-0.309494\pi\)
−0.826185 + 0.563399i \(0.809494\pi\)
\(542\) 3.99471 14.9084i 0.171587 0.640373i
\(543\) −9.00639 + 2.41325i −0.386501 + 0.103563i
\(544\) 0.880498 + 3.28606i 0.0377510 + 0.140889i
\(545\) −23.7866 + 11.3902i −1.01890 + 0.487904i
\(546\) 0.246084 + 0.0263688i 0.0105314 + 0.00112848i
\(547\) −1.96357 1.96357i −0.0839560 0.0839560i 0.663882 0.747838i \(-0.268908\pi\)
−0.747838 + 0.663882i \(0.768908\pi\)
\(548\) 10.4204 + 6.01623i 0.445138 + 0.257001i
\(549\) −6.71827 3.87879i −0.286729 0.165543i
\(550\) −21.8721 + 15.9934i −0.932632 + 0.681959i
\(551\) −3.14414 + 3.14414i −0.133945 + 0.133945i
\(552\) −0.894121 1.54866i −0.0380563 0.0659155i
\(553\) −0.397478 0.688452i −0.0169025 0.0292759i
\(554\) −17.9430 + 17.9430i −0.762325 + 0.762325i
\(555\) 8.12542 + 5.56619i 0.344905 + 0.236272i
\(556\) 3.76993 + 2.17657i 0.159881 + 0.0923072i
\(557\) −28.1371 16.2450i −1.19221 0.688321i −0.233400 0.972381i \(-0.574985\pi\)
−0.958807 + 0.284060i \(0.908319\pi\)
\(558\) 2.29267 + 2.29267i 0.0970563 + 0.0970563i
\(559\) 18.8299 25.8070i 0.796419 1.09152i
\(560\) 0.144763 + 0.0510145i 0.00611735 + 0.00215576i
\(561\) 4.77155 + 17.8077i 0.201455 + 0.751840i
\(562\) 11.3842 3.05039i 0.480214 0.128673i
\(563\) −8.21419 + 30.6558i −0.346187 + 1.29199i 0.545033 + 0.838414i \(0.316517\pi\)
−0.891220 + 0.453572i \(0.850150\pi\)
\(564\) 6.70489 + 6.70489i 0.282327 + 0.282327i
\(565\) −25.3222 + 36.9648i −1.06531 + 1.55512i
\(566\) −5.47731 + 20.4416i −0.230229 + 0.859225i
\(567\) 0.0686422i 0.00288270i
\(568\) −5.00578 1.34130i −0.210038 0.0562795i
\(569\) −8.23444 + 14.2625i −0.345206 + 0.597914i −0.985391 0.170307i \(-0.945524\pi\)
0.640186 + 0.768220i \(0.278857\pi\)
\(570\) 1.66092 + 1.93868i 0.0695682 + 0.0812024i
\(571\) 8.91516i 0.373088i −0.982447 0.186544i \(-0.940271\pi\)
0.982447 0.186544i \(-0.0597286\pi\)
\(572\) 7.91104 + 17.8658i 0.330777 + 0.747008i
\(573\) 17.1442 17.1442i 0.716208 0.716208i
\(574\) 0.377485 0.101147i 0.0157559 0.00422178i
\(575\) 8.17928 + 3.61175i 0.341099 + 0.150620i
\(576\) −0.866025 + 0.500000i −0.0360844 + 0.0208333i
\(577\) −0.0200033 −0.000832749 −0.000416374 1.00000i \(-0.500133\pi\)
−0.000416374 1.00000i \(0.500133\pi\)
\(578\) 4.69950 2.71326i 0.195473 0.112857i
\(579\) −24.1372 6.46754i −1.00311 0.268782i
\(580\) 8.21372 + 2.89452i 0.341056 + 0.120188i
\(581\) −0.169458 0.293510i −0.00703031 0.0121768i
\(582\) −3.59338 13.4107i −0.148950 0.555890i
\(583\) −21.0160 + 36.4008i −0.870393 + 1.50757i
\(584\) 11.8364 0.489796
\(585\) 1.47319 7.92652i 0.0609088 0.327721i
\(586\) 10.7133 0.442562
\(587\) 9.10670 15.7733i 0.375874 0.651032i −0.614584 0.788852i \(-0.710676\pi\)
0.990457 + 0.137819i \(0.0440093\pi\)
\(588\) 1.81051 + 6.75693i 0.0746643 + 0.278651i
\(589\) −1.85084 3.20575i −0.0762625 0.132091i
\(590\) −5.49463 11.4746i −0.226210 0.472402i
\(591\) 6.79459 + 1.82061i 0.279492 + 0.0748897i
\(592\) 3.81454 2.20233i 0.156777 0.0905151i
\(593\) −25.0570 −1.02897 −0.514483 0.857500i \(-0.672016\pi\)
−0.514483 + 0.857500i \(0.672016\pi\)
\(594\) −4.69312 + 2.70957i −0.192561 + 0.111175i
\(595\) −0.0401736 + 0.520618i −0.00164696 + 0.0213433i
\(596\) −16.2235 + 4.34708i −0.664541 + 0.178063i
\(597\) 15.6843 15.6843i 0.641915 0.641915i
\(598\) 3.80037 5.20853i 0.155409 0.212993i
\(599\) 4.49917i 0.183831i 0.995767 + 0.0919155i \(0.0292990\pi\)
−0.995767 + 0.0919155i \(0.970701\pi\)
\(600\) 2.01972 4.57392i 0.0824548 0.186729i
\(601\) −1.96296 + 3.39994i −0.0800706 + 0.138686i −0.903280 0.429051i \(-0.858848\pi\)
0.823209 + 0.567738i \(0.192181\pi\)
\(602\) −0.587467 0.157411i −0.0239434 0.00641560i
\(603\) 1.03869i 0.0422986i
\(604\) 0.0827656 0.308886i 0.00336769 0.0125684i
\(605\) 7.54611 + 40.3710i 0.306793 + 1.64131i
\(606\) −3.87533 3.87533i −0.157424 0.157424i
\(607\) −8.12088 + 30.3075i −0.329616 + 1.23014i 0.579973 + 0.814636i \(0.303063\pi\)
−0.909589 + 0.415509i \(0.863603\pi\)
\(608\) 1.10278 0.295488i 0.0447234 0.0119836i
\(609\) −0.0691929 0.258232i −0.00280384 0.0104641i
\(610\) 5.76540 16.3603i 0.233434 0.662411i
\(611\) −12.3167 + 31.8927i −0.498280 + 1.29024i
\(612\) −2.40557 2.40557i −0.0972392 0.0972392i
\(613\) −20.1643 11.6419i −0.814429 0.470211i 0.0340625 0.999420i \(-0.489155\pi\)
−0.848492 + 0.529209i \(0.822489\pi\)
\(614\) 16.0414 + 9.26151i 0.647378 + 0.373764i
\(615\) −2.33909 12.5139i −0.0943210 0.504608i
\(616\) 0.263031 0.263031i 0.0105978 0.0105978i
\(617\) −15.7264 27.2389i −0.633119 1.09659i −0.986910 0.161270i \(-0.948441\pi\)
0.353791 0.935325i \(-0.384892\pi\)
\(618\) −0.692499 1.19944i −0.0278564 0.0482487i
\(619\) 28.3021 28.3021i 1.13756 1.13756i 0.148669 0.988887i \(-0.452501\pi\)
0.988887 0.148669i \(-0.0474990\pi\)
\(620\) −4.09734 + 5.98122i −0.164553 + 0.240211i
\(621\) 1.54866 + 0.894121i 0.0621457 + 0.0358799i
\(622\) 2.57533 + 1.48686i 0.103261 + 0.0596178i
\(623\) −0.0103685 0.0103685i −0.000415407 0.000415407i
\(624\) −2.91265 2.12520i −0.116599 0.0850760i
\(625\) 5.34709 + 24.4215i 0.213883 + 0.976859i
\(626\) 3.54891 + 13.2447i 0.141843 + 0.529366i
\(627\) 5.97610 1.60129i 0.238662 0.0639494i
\(628\) −5.85945 + 21.8678i −0.233817 + 0.872619i
\(629\) 10.5957 + 10.5957i 0.422477 + 0.422477i
\(630\) −0.150876 + 0.0282016i −0.00601103 + 0.00112358i
\(631\) −7.93986 + 29.6319i −0.316081 + 1.17963i 0.606899 + 0.794779i \(0.292413\pi\)
−0.922979 + 0.384850i \(0.874253\pi\)
\(632\) 11.5811i 0.460673i
\(633\) −19.5154 5.22913i −0.775666 0.207839i
\(634\) −3.22848 + 5.59190i −0.128219 + 0.222083i
\(635\) 23.6784 + 1.82715i 0.939651 + 0.0725083i
\(636\) 7.75620i 0.307553i
\(637\) −19.6332 + 15.8329i −0.777896 + 0.627322i
\(638\) 14.9242 14.9242i 0.590853 0.590853i
\(639\) 5.00578 1.34130i 0.198026 0.0530608i
\(640\) −1.45481 1.69810i −0.0575062 0.0671233i
\(641\) 23.3183 13.4628i 0.921018 0.531750i 0.0370580 0.999313i \(-0.488201\pi\)
0.883960 + 0.467563i \(0.154868\pi\)
\(642\) −10.8239 −0.427184
\(643\) 11.6437 6.72252i 0.459185 0.265110i −0.252517 0.967593i \(-0.581258\pi\)
0.711701 + 0.702482i \(0.247925\pi\)
\(644\) −0.118566 0.0317698i −0.00467217 0.00125190i
\(645\) −6.58493 + 18.6859i −0.259281 + 0.735757i
\(646\) 1.94198 + 3.36361i 0.0764063 + 0.132340i
\(647\) 2.46398 + 9.19569i 0.0968690 + 0.361520i 0.997296 0.0734867i \(-0.0234127\pi\)
−0.900427 + 0.435007i \(0.856746\pi\)
\(648\) 0.500000 0.866025i 0.0196419 0.0340207i
\(649\) −30.8327 −1.21029
\(650\) 18.0277 0.0185344i 0.707106 0.000726979i
\(651\) 0.222560 0.00872281
\(652\) −5.72153 + 9.90998i −0.224072 + 0.388105i
\(653\) 4.69855 + 17.5352i 0.183868 + 0.686206i 0.994870 + 0.101162i \(0.0322561\pi\)
−0.811002 + 0.585044i \(0.801077\pi\)
\(654\) −5.89719 10.2142i −0.230598 0.399408i
\(655\) 14.4113 40.8946i 0.563096 1.59789i
\(656\) −5.49931 1.47354i −0.214712 0.0575319i
\(657\) −10.2507 + 5.91822i −0.399916 + 0.230892i
\(658\) 0.650876 0.0253738
\(659\) 5.97168 3.44775i 0.232624 0.134305i −0.379158 0.925332i \(-0.623786\pi\)
0.611782 + 0.791027i \(0.290453\pi\)
\(660\) −7.88380 9.20225i −0.306876 0.358197i
\(661\) −23.7763 + 6.37085i −0.924792 + 0.247797i −0.689633 0.724159i \(-0.742228\pi\)
−0.235160 + 0.971957i \(0.575561\pi\)
\(662\) −14.3133 + 14.3133i −0.556303 + 0.556303i
\(663\) 4.41895 11.4424i 0.171618 0.444386i
\(664\) 4.93743i 0.191609i
\(665\) 0.174715 + 0.0134819i 0.00677516 + 0.000522806i
\(666\) −2.20233 + 3.81454i −0.0853384 + 0.147810i
\(667\) −6.72736 1.80259i −0.260484 0.0697966i
\(668\) 6.68794i 0.258764i
\(669\) −4.71011 + 17.5784i −0.182103 + 0.679619i
\(670\) 2.28303 0.426743i 0.0882012 0.0164865i
\(671\) −29.7264 29.7264i −1.14758 1.14758i
\(672\) −0.0177659 + 0.0663033i −0.000685335 + 0.00255770i
\(673\) 18.5132 4.96061i 0.713633 0.191217i 0.116304 0.993214i \(-0.462895\pi\)
0.597329 + 0.801996i \(0.296229\pi\)
\(674\) 5.19914 + 19.4034i 0.200263 + 0.747392i
\(675\) 0.537829 + 4.97099i 0.0207011 + 0.191333i
\(676\) 2.75437 12.7049i 0.105937 0.488648i
\(677\) −13.3554 13.3554i −0.513291 0.513291i 0.402242 0.915533i \(-0.368231\pi\)
−0.915533 + 0.402242i \(0.868231\pi\)
\(678\) −17.3534 10.0190i −0.666455 0.384778i
\(679\) −0.825332 0.476505i −0.0316733 0.0182866i
\(680\) 4.29911 6.27576i 0.164863 0.240664i
\(681\) −11.2262 + 11.2262i −0.430188 + 0.430188i
\(682\) 8.78530 + 15.2166i 0.336406 + 0.582673i
\(683\) −8.00107 13.8583i −0.306152 0.530271i 0.671365 0.741127i \(-0.265708\pi\)
−0.977517 + 0.210856i \(0.932375\pi\)
\(684\) −0.807288 + 0.807288i −0.0308674 + 0.0308674i
\(685\) −4.94352 26.4473i −0.188882 1.01050i
\(686\) 0.831963 + 0.480334i 0.0317645 + 0.0183392i
\(687\) 8.05427 + 4.65014i 0.307290 + 0.177414i
\(688\) 6.26518 + 6.26518i 0.238858 + 0.238858i
\(689\) 25.5706 11.3227i 0.974164 0.431362i
\(690\) −1.32901 + 3.77131i −0.0505946 + 0.143571i
\(691\) −9.59085 35.7936i −0.364853 1.36165i −0.867620 0.497229i \(-0.834351\pi\)
0.502766 0.864422i \(-0.332316\pi\)
\(692\) −15.7568 + 4.22203i −0.598984 + 0.160497i
\(693\) −0.0962761 + 0.359307i −0.00365722 + 0.0136489i
\(694\) −19.8075 19.8075i −0.751884 0.751884i
\(695\) −1.78848 9.56821i −0.0678410 0.362943i
\(696\) −1.00802 + 3.76199i −0.0382090 + 0.142598i
\(697\) 19.3685i 0.733635i
\(698\) −19.8972 5.33144i −0.753120 0.201798i
\(699\) 11.7979 20.4346i 0.446239 0.772909i
\(700\) −0.123974 0.320038i −0.00468578 0.0120963i
\(701\) 9.21330i 0.347982i −0.984747 0.173991i \(-0.944334\pi\)
0.984747 0.173991i \(-0.0556663\pi\)
\(702\) 3.58503 + 0.384149i 0.135308 + 0.0144988i
\(703\) 3.55582 3.55582i 0.134110 0.134110i
\(704\) −5.23449 + 1.40258i −0.197282 + 0.0528616i
\(705\) 1.63126 21.1399i 0.0614369 0.796174i
\(706\) −4.88014 + 2.81755i −0.183666 + 0.106040i
\(707\) −0.376197 −0.0141483
\(708\) 4.92733 2.84480i 0.185180 0.106914i
\(709\) 41.8016 + 11.2007i 1.56989 + 0.420651i 0.935778 0.352590i \(-0.114699\pi\)
0.634113 + 0.773241i \(0.281366\pi\)
\(710\) 5.00479 + 10.4516i 0.187826 + 0.392243i
\(711\) −5.79057 10.0296i −0.217163 0.376138i
\(712\) 0.0552889 + 0.206341i 0.00207204 + 0.00773295i
\(713\) 2.89903 5.02126i 0.108569 0.188048i
\(714\) −0.233520 −0.00873925
\(715\) 18.8289 39.4250i 0.704163 1.47441i
\(716\) 15.4073 0.575798
\(717\) 9.79675 16.9685i 0.365867 0.633699i
\(718\) −2.52491 9.42309i −0.0942288 0.351667i
\(719\) 15.2449 + 26.4050i 0.568540 + 0.984741i 0.996711 + 0.0810429i \(0.0258251\pi\)
−0.428170 + 0.903698i \(0.640842\pi\)
\(720\) 2.10895 + 0.743195i 0.0785959 + 0.0276972i
\(721\) −0.0918300 0.0246058i −0.00341993 0.000916367i
\(722\) −15.3257 + 8.84829i −0.570363 + 0.329299i
\(723\) −5.02860 −0.187016
\(724\) 8.07491 4.66205i 0.300101 0.173264i
\(725\) −7.03418 18.1587i −0.261243 0.674397i
\(726\) −17.7413 + 4.75376i −0.658441 + 0.176429i
\(727\) −6.36716 + 6.36716i −0.236145 + 0.236145i −0.815252 0.579107i \(-0.803401\pi\)
0.579107 + 0.815252i \(0.303401\pi\)
\(728\) −0.244524 + 0.0382210i −0.00906266 + 0.00141656i
\(729\) 1.00000i 0.0370370i
\(730\) −17.2197 20.0995i −0.637331 0.743914i
\(731\) −15.0713 + 26.1042i −0.557432 + 0.965500i
\(732\) 7.49325 + 2.00781i 0.276959 + 0.0742108i
\(733\) 40.5199i 1.49664i −0.663340 0.748319i \(-0.730861\pi\)
0.663340 0.748319i \(-0.269139\pi\)
\(734\) −2.70714 + 10.1032i −0.0999223 + 0.372915i
\(735\) 8.83999 12.9044i 0.326068 0.475988i
\(736\) 1.26448 + 1.26448i 0.0466093 + 0.0466093i
\(737\) 1.45684 5.43699i 0.0536633 0.200274i
\(738\) 5.49931 1.47354i 0.202432 0.0542416i
\(739\) 3.56257 + 13.2957i 0.131051 + 0.489089i 0.999983 0.00584246i \(-0.00185972\pi\)
−0.868932 + 0.494932i \(0.835193\pi\)
\(740\) −9.28919 3.27352i −0.341477 0.120337i
\(741\) −3.83997 1.48296i −0.141065 0.0544780i
\(742\) −0.376466 0.376466i −0.0138205 0.0138205i
\(743\) 41.4501 + 23.9312i 1.52065 + 0.877951i 0.999703 + 0.0243644i \(0.00775619\pi\)
0.520952 + 0.853586i \(0.325577\pi\)
\(744\) −2.80793 1.62116i −0.102944 0.0594346i
\(745\) 30.9838 + 21.2250i 1.13516 + 0.777623i
\(746\) −4.65646 + 4.65646i −0.170485 + 0.170485i
\(747\) −2.46871 4.27594i −0.0903256 0.156448i
\(748\) −9.21792 15.9659i −0.337041 0.583771i
\(749\) −0.525362 + 0.525362i −0.0191963 + 0.0191963i
\(750\) −10.7053 + 3.22447i −0.390901 + 0.117741i
\(751\) 11.5401 + 6.66266i 0.421103 + 0.243124i 0.695549 0.718479i \(-0.255161\pi\)
−0.274446 + 0.961602i \(0.588495\pi\)
\(752\) −8.21179 4.74108i −0.299453 0.172889i
\(753\) 19.5866 + 19.5866i 0.713775 + 0.713775i
\(754\) −13.8741 + 2.16863i −0.505264 + 0.0789767i
\(755\) −0.644926 + 0.308824i −0.0234713 + 0.0112393i
\(756\) −0.0177659 0.0663033i −0.000646140 0.00241143i
\(757\) 16.9393 4.53887i 0.615668 0.164968i 0.0625106 0.998044i \(-0.480089\pi\)
0.553158 + 0.833076i \(0.313423\pi\)
\(758\) 2.09743 7.82771i 0.0761821 0.284315i
\(759\) 6.85239 + 6.85239i 0.248726 + 0.248726i
\(760\) −2.10609 1.44275i −0.0763959 0.0523339i
\(761\) 10.9525 40.8753i 0.397028 1.48173i −0.421271 0.906935i \(-0.638416\pi\)
0.818299 0.574793i \(-0.194917\pi\)
\(762\) 10.6208i 0.384751i
\(763\) −0.782007 0.209538i −0.0283105 0.00758579i
\(764\) −12.1228 + 20.9972i −0.438586 + 0.759653i
\(765\) −0.585260 + 7.58452i −0.0211601 + 0.274219i
\(766\) 12.8545i 0.464450i
\(767\) 16.5718 + 12.0915i 0.598373 + 0.436599i
\(768\) 0.707107 0.707107i 0.0255155 0.0255155i
\(769\) −23.4731 + 6.28959i −0.846460 + 0.226808i −0.655882 0.754864i \(-0.727703\pi\)
−0.190578 + 0.981672i \(0.561036\pi\)
\(770\) −0.829312 0.0639940i −0.0298863 0.00230618i
\(771\) −13.1581 + 7.59685i −0.473878 +