Properties

Label 230.2.j.a.219.4
Level $230$
Weight $2$
Character 230.219
Analytic conductor $1.837$
Analytic rank $0$
Dimension $120$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 230 = 2 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 230.j (of order \(22\), degree \(10\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.83655924649\)
Analytic rank: \(0\)
Dimension: \(120\)
Relative dimension: \(12\) over \(\Q(\zeta_{22})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{22}]$

Embedding invariants

Embedding label 219.4
Character \(\chi\) \(=\) 230.219
Dual form 230.2.j.a.209.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.540641 - 0.841254i) q^{2} +(0.665993 + 0.0957553i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.171396 - 2.22949i) q^{5} +(-0.279508 - 0.612038i) q^{6} +(1.62329 - 1.40659i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.44410 - 0.717653i) q^{9} +O(q^{10})\) \(q+(-0.540641 - 0.841254i) q^{2} +(0.665993 + 0.0957553i) q^{3} +(-0.415415 + 0.909632i) q^{4} +(-0.171396 - 2.22949i) q^{5} +(-0.279508 - 0.612038i) q^{6} +(1.62329 - 1.40659i) q^{7} +(0.989821 - 0.142315i) q^{8} +(-2.44410 - 0.717653i) q^{9} +(-1.78290 + 1.34954i) q^{10} +(3.00982 + 1.93430i) q^{11} +(-0.363766 + 0.566030i) q^{12} +(-3.40020 - 2.94629i) q^{13} +(-2.06092 - 0.605141i) q^{14} +(0.0993370 - 1.50124i) q^{15} +(-0.654861 - 0.755750i) q^{16} +(5.12683 - 2.34135i) q^{17} +(0.717653 + 2.44410i) q^{18} +(2.28599 - 5.00562i) q^{19} +(2.09922 + 0.770256i) q^{20} +(1.21579 - 0.781342i) q^{21} -3.57778i q^{22} +(-2.94656 + 3.78388i) q^{23} +0.672842 q^{24} +(-4.94125 + 0.764251i) q^{25} +(-0.640289 + 4.45331i) q^{26} +(-3.39515 - 1.55051i) q^{27} +(0.605141 + 2.06092i) q^{28} +(3.52252 + 7.71324i) q^{29} +(-1.31663 + 0.728062i) q^{30} +(-0.681945 - 4.74303i) q^{31} +(-0.281733 + 0.959493i) q^{32} +(1.81930 + 1.57643i) q^{33} +(-4.74144 - 3.04714i) q^{34} +(-3.41421 - 3.37803i) q^{35} +(1.66812 - 1.92511i) q^{36} +(-2.34825 + 7.99739i) q^{37} +(-5.44690 + 0.783146i) q^{38} +(-1.98238 - 2.28779i) q^{39} +(-0.486941 - 2.18240i) q^{40} +(9.99296 - 2.93420i) q^{41} +(-1.31461 - 0.600364i) q^{42} +(3.35224 + 0.481980i) q^{43} +(-3.00982 + 1.93430i) q^{44} +(-1.18109 + 5.57210i) q^{45} +(4.77624 + 0.433085i) q^{46} +10.7053i q^{47} +(-0.363766 - 0.566030i) q^{48} +(-0.339622 + 2.36212i) q^{49} +(3.31437 + 3.74366i) q^{50} +(3.63863 - 1.06840i) q^{51} +(4.09253 - 1.86900i) q^{52} +(-4.00429 + 3.46974i) q^{53} +(0.531182 + 3.69445i) q^{54} +(3.79662 - 7.04190i) q^{55} +(1.40659 - 1.62329i) q^{56} +(2.00177 - 3.11481i) q^{57} +(4.58437 - 7.13343i) q^{58} +(1.25908 - 1.45305i) q^{59} +(1.32431 + 0.713996i) q^{60} +(0.973399 + 6.77014i) q^{61} +(-3.62141 + 3.13797i) q^{62} +(-4.97694 + 2.27289i) q^{63} +(0.959493 - 0.281733i) q^{64} +(-5.98594 + 8.08568i) q^{65} +(0.342592 - 2.38278i) q^{66} +(-0.464748 - 0.723162i) q^{67} +5.63616i q^{68} +(-2.32472 + 2.23789i) q^{69} +(-0.995922 + 4.69852i) q^{70} +(7.34689 - 4.72156i) q^{71} +(-2.52136 - 0.362516i) q^{72} +(5.78187 + 2.64049i) q^{73} +(7.99739 - 2.34825i) q^{74} +(-3.36402 + 0.0358349i) q^{75} +(3.60364 + 4.15882i) q^{76} +(7.60660 - 1.09366i) q^{77} +(-0.852857 + 2.90456i) q^{78} +(-9.61636 + 11.0979i) q^{79} +(-1.57270 + 1.58954i) q^{80} +(4.31606 + 2.77376i) q^{81} +(-7.87101 - 6.82027i) q^{82} +(1.86485 - 6.35109i) q^{83} +(0.205675 + 1.43050i) q^{84} +(-6.09873 - 11.0289i) q^{85} +(-1.40689 - 3.08066i) q^{86} +(1.60739 + 5.47427i) q^{87} +(3.25447 + 1.48626i) q^{88} +(-0.622136 + 4.32705i) q^{89} +(5.32610 - 2.01891i) q^{90} -9.66375 q^{91} +(-2.21789 - 4.25217i) q^{92} -3.22413i q^{93} +(9.00583 - 5.78770i) q^{94} +(-11.5518 - 4.23865i) q^{95} +(-0.279508 + 0.612038i) q^{96} +(-1.51710 - 5.16676i) q^{97} +(2.17076 - 0.991351i) q^{98} +(-5.96816 - 6.88762i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 120 q + 12 q^{4} - 4 q^{6} + 8 q^{9} + 8 q^{11} - 6 q^{15} - 12 q^{16} - 16 q^{19} - 22 q^{20} + 4 q^{24} - 52 q^{25} - 4 q^{26} - 8 q^{29} - 44 q^{30} + 12 q^{31} + 16 q^{35} - 8 q^{36} - 36 q^{39} - 28 q^{41} - 8 q^{44} + 16 q^{45} - 4 q^{46} - 58 q^{49} + 12 q^{50} - 24 q^{51} - 6 q^{54} - 36 q^{55} + 22 q^{56} - 102 q^{59} - 38 q^{60} + 72 q^{61} + 12 q^{64} - 138 q^{65} + 80 q^{66} - 212 q^{69} - 108 q^{70} + 176 q^{71} - 88 q^{74} - 100 q^{75} + 16 q^{76} - 104 q^{79} - 22 q^{80} - 28 q^{81} - 22 q^{84} + 2 q^{85} + 62 q^{86} + 48 q^{89} + 24 q^{90} - 56 q^{91} + 24 q^{94} + 18 q^{95} - 4 q^{96} + 188 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{10}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.540641 0.841254i −0.382291 0.594856i
\(3\) 0.665993 + 0.0957553i 0.384511 + 0.0552844i 0.331860 0.943329i \(-0.392324\pi\)
0.0526511 + 0.998613i \(0.483233\pi\)
\(4\) −0.415415 + 0.909632i −0.207708 + 0.454816i
\(5\) −0.171396 2.22949i −0.0766506 0.997058i
\(6\) −0.279508 0.612038i −0.114109 0.249864i
\(7\) 1.62329 1.40659i 0.613548 0.531642i −0.291709 0.956507i \(-0.594224\pi\)
0.905257 + 0.424865i \(0.139678\pi\)
\(8\) 0.989821 0.142315i 0.349955 0.0503159i
\(9\) −2.44410 0.717653i −0.814700 0.239218i
\(10\) −1.78290 + 1.34954i −0.563803 + 0.426762i
\(11\) 3.00982 + 1.93430i 0.907496 + 0.583212i 0.909004 0.416787i \(-0.136844\pi\)
−0.00150867 + 0.999999i \(0.500480\pi\)
\(12\) −0.363766 + 0.566030i −0.105010 + 0.163399i
\(13\) −3.40020 2.94629i −0.943045 0.817153i 0.0402468 0.999190i \(-0.487186\pi\)
−0.983292 + 0.182037i \(0.941731\pi\)
\(14\) −2.06092 0.605141i −0.550804 0.161731i
\(15\) 0.0993370 1.50124i 0.0256487 0.387618i
\(16\) −0.654861 0.755750i −0.163715 0.188937i
\(17\) 5.12683 2.34135i 1.24344 0.567860i 0.318482 0.947929i \(-0.396827\pi\)
0.924958 + 0.380069i \(0.124100\pi\)
\(18\) 0.717653 + 2.44410i 0.169152 + 0.576080i
\(19\) 2.28599 5.00562i 0.524442 1.14837i −0.443288 0.896379i \(-0.646188\pi\)
0.967730 0.251989i \(-0.0810848\pi\)
\(20\) 2.09922 + 0.770256i 0.469399 + 0.172235i
\(21\) 1.21579 0.781342i 0.265308 0.170503i
\(22\) 3.57778i 0.762786i
\(23\) −2.94656 + 3.78388i −0.614401 + 0.788994i
\(24\) 0.672842 0.137343
\(25\) −4.94125 + 0.764251i −0.988249 + 0.152850i
\(26\) −0.640289 + 4.45331i −0.125571 + 0.873366i
\(27\) −3.39515 1.55051i −0.653397 0.298396i
\(28\) 0.605141 + 2.06092i 0.114361 + 0.389477i
\(29\) 3.52252 + 7.71324i 0.654115 + 1.43231i 0.887905 + 0.460026i \(0.152160\pi\)
−0.233790 + 0.972287i \(0.575113\pi\)
\(30\) −1.31663 + 0.728062i −0.240382 + 0.132925i
\(31\) −0.681945 4.74303i −0.122481 0.851874i −0.954730 0.297472i \(-0.903856\pi\)
0.832249 0.554401i \(-0.187053\pi\)
\(32\) −0.281733 + 0.959493i −0.0498038 + 0.169616i
\(33\) 1.81930 + 1.57643i 0.316700 + 0.274422i
\(34\) −4.74144 3.04714i −0.813151 0.522580i
\(35\) −3.41421 3.37803i −0.577107 0.570992i
\(36\) 1.66812 1.92511i 0.278019 0.320851i
\(37\) −2.34825 + 7.99739i −0.386049 + 1.31476i 0.505886 + 0.862600i \(0.331165\pi\)
−0.891936 + 0.452163i \(0.850653\pi\)
\(38\) −5.44690 + 0.783146i −0.883604 + 0.127043i
\(39\) −1.98238 2.28779i −0.317436 0.366340i
\(40\) −0.486941 2.18240i −0.0769921 0.345068i
\(41\) 9.99296 2.93420i 1.56064 0.458245i 0.616380 0.787449i \(-0.288599\pi\)
0.944259 + 0.329204i \(0.106780\pi\)
\(42\) −1.31461 0.600364i −0.202849 0.0926381i
\(43\) 3.35224 + 0.481980i 0.511212 + 0.0735012i 0.393094 0.919498i \(-0.371405\pi\)
0.118118 + 0.993000i \(0.462314\pi\)
\(44\) −3.00982 + 1.93430i −0.453748 + 0.291606i
\(45\) −1.18109 + 5.57210i −0.176067 + 0.830640i
\(46\) 4.77624 + 0.433085i 0.704218 + 0.0638549i
\(47\) 10.7053i 1.56152i 0.624830 + 0.780761i \(0.285168\pi\)
−0.624830 + 0.780761i \(0.714832\pi\)
\(48\) −0.363766 0.566030i −0.0525050 0.0816994i
\(49\) −0.339622 + 2.36212i −0.0485174 + 0.337446i
\(50\) 3.31437 + 3.74366i 0.468722 + 0.529433i
\(51\) 3.63863 1.06840i 0.509510 0.149606i
\(52\) 4.09253 1.86900i 0.567532 0.259183i
\(53\) −4.00429 + 3.46974i −0.550031 + 0.476605i −0.884978 0.465632i \(-0.845827\pi\)
0.334947 + 0.942237i \(0.391282\pi\)
\(54\) 0.531182 + 3.69445i 0.0722847 + 0.502751i
\(55\) 3.79662 7.04190i 0.511936 0.949529i
\(56\) 1.40659 1.62329i 0.187964 0.216922i
\(57\) 2.00177 3.11481i 0.265141 0.412567i
\(58\) 4.58437 7.13343i 0.601958 0.936665i
\(59\) 1.25908 1.45305i 0.163918 0.189171i −0.667848 0.744297i \(-0.732785\pi\)
0.831766 + 0.555126i \(0.187330\pi\)
\(60\) 1.32431 + 0.713996i 0.170967 + 0.0921765i
\(61\) 0.973399 + 6.77014i 0.124631 + 0.866828i 0.952203 + 0.305467i \(0.0988127\pi\)
−0.827572 + 0.561360i \(0.810278\pi\)
\(62\) −3.62141 + 3.13797i −0.459919 + 0.398522i
\(63\) −4.97694 + 2.27289i −0.627036 + 0.286358i
\(64\) 0.959493 0.281733i 0.119937 0.0352166i
\(65\) −5.98594 + 8.08568i −0.742464 + 1.00291i
\(66\) 0.342592 2.38278i 0.0421701 0.293300i
\(67\) −0.464748 0.723162i −0.0567780 0.0883483i 0.811704 0.584069i \(-0.198540\pi\)
−0.868482 + 0.495721i \(0.834904\pi\)
\(68\) 5.63616i 0.683485i
\(69\) −2.32472 + 2.23789i −0.279863 + 0.269410i
\(70\) −0.995922 + 4.69852i −0.119035 + 0.561581i
\(71\) 7.34689 4.72156i 0.871916 0.560346i −0.0264224 0.999651i \(-0.508411\pi\)
0.898338 + 0.439305i \(0.144775\pi\)
\(72\) −2.52136 0.362516i −0.297145 0.0427230i
\(73\) 5.78187 + 2.64049i 0.676717 + 0.309046i 0.723965 0.689837i \(-0.242318\pi\)
−0.0472479 + 0.998883i \(0.515045\pi\)
\(74\) 7.99739 2.34825i 0.929678 0.272978i
\(75\) −3.36402 + 0.0358349i −0.388443 + 0.00413786i
\(76\) 3.60364 + 4.15882i 0.413366 + 0.477050i
\(77\) 7.60660 1.09366i 0.866852 0.124634i
\(78\) −0.852857 + 2.90456i −0.0965670 + 0.328877i
\(79\) −9.61636 + 11.0979i −1.08192 + 1.24861i −0.115049 + 0.993360i \(0.536703\pi\)
−0.966876 + 0.255248i \(0.917843\pi\)
\(80\) −1.57270 + 1.58954i −0.175833 + 0.177716i
\(81\) 4.31606 + 2.77376i 0.479562 + 0.308196i
\(82\) −7.87101 6.82027i −0.869208 0.753173i
\(83\) 1.86485 6.35109i 0.204694 0.697123i −0.791595 0.611047i \(-0.790749\pi\)
0.996289 0.0860767i \(-0.0274330\pi\)
\(84\) 0.205675 + 1.43050i 0.0224410 + 0.156081i
\(85\) −6.09873 11.0289i −0.661500 1.19625i
\(86\) −1.40689 3.08066i −0.151709 0.332196i
\(87\) 1.60739 + 5.47427i 0.172330 + 0.586903i
\(88\) 3.25447 + 1.48626i 0.346927 + 0.158436i
\(89\) −0.622136 + 4.32705i −0.0659463 + 0.458667i 0.929915 + 0.367776i \(0.119881\pi\)
−0.995861 + 0.0908909i \(0.971029\pi\)
\(90\) 5.32610 2.01891i 0.561420 0.212812i
\(91\) −9.66375 −1.01304
\(92\) −2.21789 4.25217i −0.231231 0.443319i
\(93\) 3.22413i 0.334326i
\(94\) 9.00583 5.78770i 0.928881 0.596955i
\(95\) −11.5518 4.23865i −1.18519 0.434876i
\(96\) −0.279508 + 0.612038i −0.0285272 + 0.0624659i
\(97\) −1.51710 5.16676i −0.154038 0.524605i 0.845924 0.533303i \(-0.179049\pi\)
−0.999962 + 0.00869816i \(0.997231\pi\)
\(98\) 2.17076 0.991351i 0.219279 0.100142i
\(99\) −5.96816 6.88762i −0.599822 0.692232i
\(100\) 1.35748 4.81220i 0.135748 0.481220i
\(101\) −12.2869 3.60777i −1.22260 0.358987i −0.394146 0.919048i \(-0.628959\pi\)
−0.828451 + 0.560061i \(0.810778\pi\)
\(102\) −2.86599 2.48339i −0.283775 0.245892i
\(103\) 7.70414 11.9879i 0.759112 1.18120i −0.219526 0.975607i \(-0.570451\pi\)
0.978637 0.205594i \(-0.0659126\pi\)
\(104\) −3.78489 2.43240i −0.371139 0.238516i
\(105\) −1.95038 2.57668i −0.190337 0.251458i
\(106\) 5.08381 + 1.49274i 0.493783 + 0.144988i
\(107\) −3.89393 + 0.559862i −0.376440 + 0.0541239i −0.327938 0.944699i \(-0.606354\pi\)
−0.0485019 + 0.998823i \(0.515445\pi\)
\(108\) 2.82079 2.44423i 0.271431 0.235196i
\(109\) −4.07802 8.92962i −0.390604 0.855303i −0.998137 0.0610086i \(-0.980568\pi\)
0.607534 0.794294i \(-0.292159\pi\)
\(110\) −7.97663 + 0.613217i −0.760542 + 0.0584680i
\(111\) −2.32971 + 5.10135i −0.221126 + 0.484199i
\(112\) −2.12606 0.305682i −0.200894 0.0288842i
\(113\) −2.59243 4.03389i −0.243875 0.379477i 0.697640 0.716449i \(-0.254234\pi\)
−0.941515 + 0.336972i \(0.890597\pi\)
\(114\) −3.70259 −0.346779
\(115\) 8.94115 + 5.92079i 0.833767 + 0.552116i
\(116\) −8.47952 −0.787304
\(117\) 6.19601 + 9.64119i 0.572822 + 0.891328i
\(118\) −1.90309 0.273624i −0.175194 0.0251891i
\(119\) 5.02904 11.0121i 0.461011 1.00947i
\(120\) −0.115322 1.50009i −0.0105274 0.136939i
\(121\) 0.747967 + 1.63782i 0.0679970 + 0.148893i
\(122\) 5.16914 4.47909i 0.467992 0.405518i
\(123\) 6.93621 0.997276i 0.625417 0.0899214i
\(124\) 4.59770 + 1.35001i 0.412886 + 0.121234i
\(125\) 2.55080 + 10.8855i 0.228150 + 0.973626i
\(126\) 4.60282 + 2.95805i 0.410052 + 0.263524i
\(127\) 1.14551 1.78245i 0.101648 0.158167i −0.786704 0.617330i \(-0.788214\pi\)
0.888352 + 0.459163i \(0.151851\pi\)
\(128\) −0.755750 0.654861i −0.0667995 0.0578821i
\(129\) 2.18642 + 0.641990i 0.192503 + 0.0565241i
\(130\) 10.0384 + 0.664239i 0.880422 + 0.0582576i
\(131\) −4.29884 4.96113i −0.375591 0.433456i 0.536212 0.844084i \(-0.319855\pi\)
−0.911803 + 0.410628i \(0.865309\pi\)
\(132\) −2.18974 + 1.00002i −0.190592 + 0.0870406i
\(133\) −3.33004 11.3411i −0.288751 0.983395i
\(134\) −0.357101 + 0.781941i −0.0308488 + 0.0675494i
\(135\) −2.87494 + 7.83520i −0.247435 + 0.674347i
\(136\) 4.74144 3.04714i 0.406575 0.261290i
\(137\) 6.32163i 0.540093i 0.962847 + 0.270047i \(0.0870391\pi\)
−0.962847 + 0.270047i \(0.912961\pi\)
\(138\) 3.13947 + 0.745782i 0.267249 + 0.0634852i
\(139\) −11.5195 −0.977069 −0.488534 0.872545i \(-0.662468\pi\)
−0.488534 + 0.872545i \(0.662468\pi\)
\(140\) 4.49108 1.70239i 0.379566 0.143878i
\(141\) −1.02509 + 7.12962i −0.0863277 + 0.600423i
\(142\) −7.94406 3.62793i −0.666651 0.304449i
\(143\) −4.53500 15.4448i −0.379236 1.29156i
\(144\) 1.05818 + 2.31709i 0.0881817 + 0.193091i
\(145\) 16.5928 9.17544i 1.37796 0.761979i
\(146\) −0.904592 6.29158i −0.0748646 0.520695i
\(147\) −0.452371 + 1.54063i −0.0373109 + 0.127069i
\(148\) −6.29918 5.45827i −0.517790 0.448667i
\(149\) 11.1553 + 7.16911i 0.913882 + 0.587316i 0.910876 0.412679i \(-0.135407\pi\)
0.00300539 + 0.999995i \(0.499043\pi\)
\(150\) 1.84887 + 2.81062i 0.150960 + 0.229486i
\(151\) 11.3340 13.0801i 0.922344 1.06444i −0.0753891 0.997154i \(-0.524020\pi\)
0.997734 0.0672881i \(-0.0214346\pi\)
\(152\) 1.55035 5.28000i 0.125750 0.428265i
\(153\) −14.2108 + 2.04320i −1.14887 + 0.165183i
\(154\) −5.03248 5.80780i −0.405529 0.468006i
\(155\) −10.4577 + 2.33333i −0.839979 + 0.187417i
\(156\) 2.90456 0.852857i 0.232551 0.0682832i
\(157\) 2.37044 + 1.08254i 0.189182 + 0.0863965i 0.507754 0.861502i \(-0.330476\pi\)
−0.318572 + 0.947899i \(0.603203\pi\)
\(158\) 14.5351 + 2.08983i 1.15635 + 0.166258i
\(159\) −2.99907 + 1.92739i −0.237842 + 0.152852i
\(160\) 2.18747 + 0.463667i 0.172934 + 0.0366561i
\(161\) 0.539242 + 10.2870i 0.0424982 + 0.810727i
\(162\) 5.13051i 0.403091i
\(163\) 0.103171 + 0.160537i 0.00808097 + 0.0125742i 0.845271 0.534339i \(-0.179439\pi\)
−0.837190 + 0.546913i \(0.815803\pi\)
\(164\) −1.48219 + 10.3088i −0.115739 + 0.804984i
\(165\) 3.20282 4.32631i 0.249339 0.336803i
\(166\) −6.35109 + 1.86485i −0.492941 + 0.144740i
\(167\) −3.82072 + 1.74487i −0.295657 + 0.135022i −0.557721 0.830029i \(-0.688324\pi\)
0.262064 + 0.965050i \(0.415597\pi\)
\(168\) 1.09222 0.946414i 0.0842666 0.0730174i
\(169\) 1.03064 + 7.16823i 0.0792797 + 0.551403i
\(170\) −5.98090 + 11.0933i −0.458714 + 0.850814i
\(171\) −9.17950 + 10.5937i −0.701974 + 0.810121i
\(172\) −1.83100 + 2.84909i −0.139612 + 0.217241i
\(173\) −6.93676 + 10.7938i −0.527392 + 0.820638i −0.998098 0.0616525i \(-0.980363\pi\)
0.470706 + 0.882290i \(0.343999\pi\)
\(174\) 3.73622 4.31183i 0.283242 0.326879i
\(175\) −6.94611 + 8.19093i −0.525077 + 0.619176i
\(176\) −0.509172 3.54137i −0.0383803 0.266941i
\(177\) 0.977674 0.847159i 0.0734865 0.0636764i
\(178\) 3.97650 1.81601i 0.298051 0.136115i
\(179\) 18.1063 5.31648i 1.35332 0.397372i 0.476920 0.878947i \(-0.341753\pi\)
0.876405 + 0.481575i \(0.159935\pi\)
\(180\) −4.57792 3.38909i −0.341218 0.252608i
\(181\) −0.448621 + 3.12022i −0.0333457 + 0.231924i −0.999678 0.0253726i \(-0.991923\pi\)
0.966332 + 0.257297i \(0.0828319\pi\)
\(182\) 5.22462 + 8.12966i 0.387274 + 0.602611i
\(183\) 4.60207i 0.340195i
\(184\) −2.37807 + 4.16471i −0.175314 + 0.307026i
\(185\) 18.2326 + 3.86467i 1.34049 + 0.284136i
\(186\) −2.71231 + 1.74309i −0.198876 + 0.127810i
\(187\) 19.9597 + 2.86977i 1.45960 + 0.209859i
\(188\) −9.73784 4.44712i −0.710205 0.324340i
\(189\) −7.69227 + 2.25865i −0.559530 + 0.164293i
\(190\) 2.67959 + 12.0096i 0.194398 + 0.871266i
\(191\) 0.0925216 + 0.106776i 0.00669462 + 0.00772601i 0.759087 0.650989i \(-0.225646\pi\)
−0.752392 + 0.658715i \(0.771100\pi\)
\(192\) 0.665993 0.0957553i 0.0480639 0.00691055i
\(193\) −4.15927 + 14.1652i −0.299391 + 1.01963i 0.663148 + 0.748489i \(0.269220\pi\)
−0.962539 + 0.271144i \(0.912598\pi\)
\(194\) −3.52635 + 4.06962i −0.253177 + 0.292182i
\(195\) −4.76084 + 4.81182i −0.340931 + 0.344582i
\(196\) −2.00758 1.29019i −0.143398 0.0921565i
\(197\) −1.53751 1.33226i −0.109543 0.0949194i 0.598367 0.801222i \(-0.295816\pi\)
−0.707910 + 0.706303i \(0.750362\pi\)
\(198\) −2.56761 + 8.74446i −0.182472 + 0.621442i
\(199\) −1.74376 12.1281i −0.123612 0.859740i −0.953410 0.301677i \(-0.902454\pi\)
0.829798 0.558063i \(-0.188455\pi\)
\(200\) −4.78219 + 1.45968i −0.338152 + 0.103215i
\(201\) −0.240272 0.526123i −0.0169475 0.0371098i
\(202\) 3.60777 + 12.2869i 0.253842 + 0.864507i
\(203\) 16.5675 + 7.56611i 1.16281 + 0.531037i
\(204\) −0.539693 + 3.75365i −0.0377860 + 0.262808i
\(205\) −8.25452 21.7763i −0.576521 1.52092i
\(206\) −14.2500 −0.992846
\(207\) 9.91721 7.13358i 0.689294 0.495818i
\(208\) 4.49911i 0.311957i
\(209\) 16.5628 10.6443i 1.14567 0.736278i
\(210\) −1.11319 + 3.03382i −0.0768171 + 0.209353i
\(211\) 0.488377 1.06940i 0.0336212 0.0736202i −0.892076 0.451885i \(-0.850752\pi\)
0.925698 + 0.378265i \(0.123479\pi\)
\(212\) −1.49274 5.08381i −0.102522 0.349158i
\(213\) 5.34509 2.44102i 0.366240 0.167256i
\(214\) 2.57620 + 2.97310i 0.176106 + 0.203237i
\(215\) 0.500008 7.55640i 0.0341003 0.515342i
\(216\) −3.58125 1.05155i −0.243673 0.0715490i
\(217\) −7.77851 6.74012i −0.528040 0.457549i
\(218\) −5.30733 + 8.25837i −0.359458 + 0.559327i
\(219\) 3.59784 + 2.31219i 0.243120 + 0.156244i
\(220\) 4.82836 + 6.37884i 0.325528 + 0.430061i
\(221\) −24.3305 7.14409i −1.63665 0.480563i
\(222\) 5.55106 0.798122i 0.372563 0.0535665i
\(223\) 4.77158 4.13460i 0.319529 0.276873i −0.480296 0.877106i \(-0.659471\pi\)
0.799825 + 0.600233i \(0.204925\pi\)
\(224\) 0.892281 + 1.95382i 0.0596180 + 0.130545i
\(225\) 12.6254 + 1.67819i 0.841692 + 0.111880i
\(226\) −1.99196 + 4.36178i −0.132503 + 0.290141i
\(227\) −14.0217 2.01602i −0.930653 0.133808i −0.339718 0.940527i \(-0.610332\pi\)
−0.590934 + 0.806720i \(0.701241\pi\)
\(228\) 2.00177 + 3.11481i 0.132570 + 0.206284i
\(229\) −19.7975 −1.30826 −0.654129 0.756383i \(-0.726964\pi\)
−0.654129 + 0.756383i \(0.726964\pi\)
\(230\) 0.146932 10.7228i 0.00968839 0.707040i
\(231\) 5.17066 0.340205
\(232\) 4.58437 + 7.13343i 0.300979 + 0.468332i
\(233\) −3.18877 0.458476i −0.208903 0.0300358i 0.0370686 0.999313i \(-0.488198\pi\)
−0.245972 + 0.969277i \(0.579107\pi\)
\(234\) 4.76086 10.4248i 0.311227 0.681493i
\(235\) 23.8672 1.83484i 1.55693 0.119692i
\(236\) 0.798703 + 1.74892i 0.0519912 + 0.113845i
\(237\) −7.46711 + 6.47029i −0.485041 + 0.420290i
\(238\) −11.9828 + 1.72287i −0.776732 + 0.111677i
\(239\) 24.3595 + 7.15258i 1.57568 + 0.462662i 0.948649 0.316331i \(-0.102451\pi\)
0.627033 + 0.778993i \(0.284269\pi\)
\(240\) −1.19961 + 0.908027i −0.0774345 + 0.0586129i
\(241\) 7.58766 + 4.87629i 0.488764 + 0.314110i 0.761708 0.647920i \(-0.224361\pi\)
−0.272944 + 0.962030i \(0.587997\pi\)
\(242\) 0.973439 1.51470i 0.0625751 0.0973687i
\(243\) 11.0712 + 9.59328i 0.710220 + 0.615409i
\(244\) −6.56270 1.92698i −0.420134 0.123362i
\(245\) 5.32453 + 0.352325i 0.340172 + 0.0225092i
\(246\) −4.58896 5.29594i −0.292581 0.337657i
\(247\) −22.5208 + 10.2849i −1.43297 + 0.654414i
\(248\) −1.35001 4.59770i −0.0857256 0.291955i
\(249\) 1.85013 4.05122i 0.117247 0.256735i
\(250\) 7.77837 8.03100i 0.491948 0.507925i
\(251\) −10.3132 + 6.62787i −0.650961 + 0.418347i −0.824017 0.566565i \(-0.808272\pi\)
0.173056 + 0.984912i \(0.444636\pi\)
\(252\) 5.47138i 0.344665i
\(253\) −16.1878 + 5.68929i −1.01772 + 0.357683i
\(254\) −2.11881 −0.132946
\(255\) −3.00563 7.92917i −0.188220 0.496544i
\(256\) −0.142315 + 0.989821i −0.00889468 + 0.0618638i
\(257\) 22.2902 + 10.1796i 1.39043 + 0.634986i 0.963108 0.269115i \(-0.0867312\pi\)
0.427318 + 0.904101i \(0.359458\pi\)
\(258\) −0.641990 2.18642i −0.0399686 0.136120i
\(259\) 7.43718 + 16.2851i 0.462124 + 1.01191i
\(260\) −4.86835 8.80391i −0.301922 0.545996i
\(261\) −3.07396 21.3799i −0.190274 1.32338i
\(262\) −1.84944 + 6.29860i −0.114259 + 0.389129i
\(263\) 12.8796 + 11.1602i 0.794191 + 0.688170i 0.954274 0.298933i \(-0.0966309\pi\)
−0.160083 + 0.987103i \(0.551176\pi\)
\(264\) 2.02513 + 1.30147i 0.124638 + 0.0801002i
\(265\) 8.42206 + 8.33282i 0.517363 + 0.511881i
\(266\) −7.74036 + 8.93285i −0.474592 + 0.547708i
\(267\) −0.828676 + 2.82221i −0.0507142 + 0.172717i
\(268\) 0.850874 0.122337i 0.0519754 0.00747294i
\(269\) −18.8639 21.7701i −1.15015 1.32735i −0.936594 0.350416i \(-0.886040\pi\)
−0.213558 0.976930i \(-0.568505\pi\)
\(270\) 8.14570 1.81748i 0.495732 0.110608i
\(271\) −30.8450 + 9.05690i −1.87370 + 0.550168i −0.876004 + 0.482303i \(0.839800\pi\)
−0.997695 + 0.0678644i \(0.978381\pi\)
\(272\) −5.12683 2.34135i −0.310860 0.141965i
\(273\) −6.43599 0.925356i −0.389524 0.0560051i
\(274\) 5.31809 3.41773i 0.321278 0.206473i
\(275\) −16.3506 7.25757i −0.985976 0.437648i
\(276\) −1.06993 3.04429i −0.0644025 0.183245i
\(277\) 5.64509i 0.339180i 0.985515 + 0.169590i \(0.0542444\pi\)
−0.985515 + 0.169590i \(0.945756\pi\)
\(278\) 6.22790 + 9.69079i 0.373524 + 0.581215i
\(279\) −1.73711 + 12.0819i −0.103998 + 0.723322i
\(280\) −3.86020 2.85776i −0.230691 0.170784i
\(281\) 10.5515 3.09821i 0.629451 0.184824i 0.0485803 0.998819i \(-0.484530\pi\)
0.580871 + 0.813996i \(0.302712\pi\)
\(282\) 6.55202 2.99221i 0.390167 0.178183i
\(283\) −3.92812 + 3.40373i −0.233502 + 0.202331i −0.763751 0.645512i \(-0.776644\pi\)
0.530248 + 0.847843i \(0.322099\pi\)
\(284\) 1.24287 + 8.64438i 0.0737510 + 0.512949i
\(285\) −7.28754 3.92906i −0.431677 0.232737i
\(286\) −10.5412 + 12.1652i −0.623313 + 0.719341i
\(287\) 12.0943 18.8191i 0.713904 1.11086i
\(288\) 1.37717 2.14291i 0.0811503 0.126272i
\(289\) 9.66989 11.1597i 0.568817 0.656450i
\(290\) −16.6896 8.99817i −0.980049 0.528391i
\(291\) −0.515631 3.58630i −0.0302268 0.210232i
\(292\) −4.80375 + 4.16247i −0.281118 + 0.243590i
\(293\) −9.44334 + 4.31263i −0.551686 + 0.251947i −0.671697 0.740826i \(-0.734434\pi\)
0.120011 + 0.992773i \(0.461707\pi\)
\(294\) 1.54063 0.452371i 0.0898516 0.0263828i
\(295\) −3.45536 2.55805i −0.201179 0.148936i
\(296\) −1.18620 + 8.25018i −0.0689463 + 0.479532i
\(297\) −7.21965 11.2340i −0.418926 0.651862i
\(298\) 13.2604i 0.768154i
\(299\) 21.1673 4.18452i 1.22414 0.241997i
\(300\) 1.36487 3.07490i 0.0788006 0.177530i
\(301\) 6.11963 3.93285i 0.352729 0.226685i
\(302\) −17.1313 2.46310i −0.985794 0.141736i
\(303\) −7.83756 3.57929i −0.450256 0.205625i
\(304\) −5.28000 + 1.55035i −0.302829 + 0.0889186i
\(305\) 14.9271 3.33056i 0.854724 0.190707i
\(306\) 9.40178 + 10.8502i 0.537464 + 0.620266i
\(307\) 0.941037 0.135301i 0.0537078 0.00772202i −0.115409 0.993318i \(-0.536818\pi\)
0.169116 + 0.985596i \(0.445909\pi\)
\(308\) −2.16506 + 7.37353i −0.123366 + 0.420146i
\(309\) 6.27881 7.24613i 0.357189 0.412218i
\(310\) 7.61676 + 7.53605i 0.432603 + 0.428019i
\(311\) −3.48282 2.23827i −0.197492 0.126921i 0.438157 0.898898i \(-0.355631\pi\)
−0.635650 + 0.771978i \(0.719268\pi\)
\(312\) −2.28779 1.98238i −0.129521 0.112230i
\(313\) −2.67304 + 9.10353i −0.151089 + 0.514562i −0.999900 0.0141343i \(-0.995501\pi\)
0.848811 + 0.528696i \(0.177319\pi\)
\(314\) −0.370863 2.57941i −0.0209290 0.145565i
\(315\) 5.92042 + 10.7065i 0.333578 + 0.603242i
\(316\) −6.10020 13.3576i −0.343163 0.751422i
\(317\) −4.00899 13.6534i −0.225167 0.766850i −0.992136 0.125165i \(-0.960054\pi\)
0.766969 0.641685i \(-0.221764\pi\)
\(318\) 3.24284 + 1.48096i 0.181850 + 0.0830480i
\(319\) −4.31753 + 30.0291i −0.241735 + 1.68131i
\(320\) −0.792573 2.09089i −0.0443062 0.116884i
\(321\) −2.64694 −0.147738
\(322\) 8.36242 6.01520i 0.466019 0.335214i
\(323\) 31.0153i 1.72574i
\(324\) −4.31606 + 2.77376i −0.239781 + 0.154098i
\(325\) 19.0529 + 11.9597i 1.05687 + 0.663406i
\(326\) 0.0792739 0.173586i 0.00439058 0.00961402i
\(327\) −1.86087 6.33756i −0.102907 0.350468i
\(328\) 9.47367 4.32648i 0.523096 0.238890i
\(329\) 15.0579 + 17.3778i 0.830171 + 0.958068i
\(330\) −5.37110 0.355406i −0.295669 0.0195645i
\(331\) −8.51959 2.50158i −0.468279 0.137499i 0.0390760 0.999236i \(-0.487559\pi\)
−0.507355 + 0.861737i \(0.669377\pi\)
\(332\) 5.00247 + 4.33467i 0.274546 + 0.237896i
\(333\) 11.4787 17.8612i 0.629029 0.978788i
\(334\) 3.53351 + 2.27085i 0.193345 + 0.124255i
\(335\) −1.53263 + 1.16010i −0.0837363 + 0.0633829i
\(336\) −1.38667 0.407164i −0.0756492 0.0222126i
\(337\) 13.2132 1.89977i 0.719769 0.103487i 0.227310 0.973823i \(-0.427007\pi\)
0.492459 + 0.870335i \(0.336098\pi\)
\(338\) 5.47310 4.74247i 0.297697 0.257956i
\(339\) −1.34027 2.93478i −0.0727935 0.159396i
\(340\) 12.5658 0.966015i 0.681474 0.0523895i
\(341\) 7.12189 15.5948i 0.385672 0.844504i
\(342\) 13.8748 + 1.99490i 0.750263 + 0.107872i
\(343\) 10.9000 + 16.9608i 0.588547 + 0.915796i
\(344\) 3.38671 0.182599
\(345\) 5.38780 + 4.79937i 0.290069 + 0.258389i
\(346\) 12.8306 0.689778
\(347\) −11.7438 18.2737i −0.630441 0.980985i −0.998686 0.0512563i \(-0.983677\pi\)
0.368245 0.929729i \(-0.379959\pi\)
\(348\) −5.64730 0.811959i −0.302727 0.0435256i
\(349\) 1.38811 3.03954i 0.0743040 0.162703i −0.868835 0.495102i \(-0.835131\pi\)
0.943139 + 0.332399i \(0.107858\pi\)
\(350\) 10.6460 + 1.41509i 0.569053 + 0.0756398i
\(351\) 6.97592 + 15.2751i 0.372347 + 0.815326i
\(352\) −2.70391 + 2.34295i −0.144119 + 0.124880i
\(353\) −18.8209 + 2.70604i −1.00174 + 0.144028i −0.623618 0.781729i \(-0.714338\pi\)
−0.378118 + 0.925757i \(0.623429\pi\)
\(354\) −1.24125 0.364463i −0.0659715 0.0193710i
\(355\) −11.7859 15.5706i −0.625531 0.826400i
\(356\) −3.67758 2.36344i −0.194911 0.125262i
\(357\) 4.40377 6.85240i 0.233072 0.362668i
\(358\) −14.2615 12.3576i −0.753743 0.653122i
\(359\) −2.06521 0.606402i −0.108998 0.0320047i 0.226779 0.973946i \(-0.427181\pi\)
−0.335777 + 0.941942i \(0.608999\pi\)
\(360\) −0.376076 + 5.68347i −0.0198210 + 0.299545i
\(361\) −7.38816 8.52639i −0.388850 0.448757i
\(362\) 2.86744 1.30952i 0.150709 0.0688267i
\(363\) 0.341311 + 1.16240i 0.0179142 + 0.0610100i
\(364\) 4.01447 8.79046i 0.210415 0.460745i
\(365\) 4.89596 13.3432i 0.256266 0.698415i
\(366\) 3.87151 2.48807i 0.202367 0.130053i
\(367\) 11.6141i 0.606252i 0.952951 + 0.303126i \(0.0980303\pi\)
−0.952951 + 0.303126i \(0.901970\pi\)
\(368\) 4.78926 0.251052i 0.249657 0.0130870i
\(369\) −26.5296 −1.38107
\(370\) −6.60611 17.4276i −0.343435 0.906019i
\(371\) −1.61964 + 11.2648i −0.0840873 + 0.584840i
\(372\) 2.93277 + 1.33935i 0.152057 + 0.0694421i
\(373\) 0.666115 + 2.26858i 0.0344901 + 0.117463i 0.974939 0.222473i \(-0.0714129\pi\)
−0.940449 + 0.339936i \(0.889595\pi\)
\(374\) −8.37683 18.3427i −0.433156 0.948478i
\(375\) 0.656472 + 7.49390i 0.0339001 + 0.386983i
\(376\) 1.52352 + 10.5963i 0.0785693 + 0.546462i
\(377\) 10.7482 36.6049i 0.553559 1.88525i
\(378\) 6.05886 + 5.25003i 0.311634 + 0.270032i
\(379\) −12.2007 7.84092i −0.626708 0.402761i 0.188381 0.982096i \(-0.439676\pi\)
−0.815090 + 0.579335i \(0.803312\pi\)
\(380\) 8.65440 8.74708i 0.443961 0.448716i
\(381\) 0.933584 1.07741i 0.0478289 0.0551975i
\(382\) 0.0398044 0.135561i 0.00203657 0.00693592i
\(383\) 16.3972 2.35757i 0.837860 0.120466i 0.289990 0.957030i \(-0.406348\pi\)
0.547870 + 0.836564i \(0.315439\pi\)
\(384\) −0.440618 0.508500i −0.0224852 0.0259493i
\(385\) −3.74205 16.7714i −0.190713 0.854748i
\(386\) 14.1652 4.15927i 0.720989 0.211701i
\(387\) −7.84733 3.58375i −0.398902 0.182172i
\(388\) 5.33007 + 0.766349i 0.270593 + 0.0389055i
\(389\) −13.0419 + 8.38153i −0.661251 + 0.424960i −0.827762 0.561079i \(-0.810386\pi\)
0.166511 + 0.986040i \(0.446750\pi\)
\(390\) 6.62187 + 1.40360i 0.335311 + 0.0710743i
\(391\) −6.24716 + 26.2983i −0.315932 + 1.32996i
\(392\) 2.38641i 0.120532i
\(393\) −2.38794 3.71571i −0.120456 0.187433i
\(394\) −0.289527 + 2.01371i −0.0145862 + 0.101449i
\(395\) 26.3908 + 19.5374i 1.32786 + 0.983035i
\(396\) 8.74446 2.56761i 0.439426 0.129027i
\(397\) −20.7499 + 9.47616i −1.04141 + 0.475595i −0.861324 0.508056i \(-0.830364\pi\)
−0.180084 + 0.983651i \(0.557637\pi\)
\(398\) −9.26008 + 8.02391i −0.464166 + 0.402202i
\(399\) −1.13181 7.87194i −0.0566616 0.394090i
\(400\) 3.81341 + 3.23387i 0.190671 + 0.161693i
\(401\) −15.8763 + 18.3222i −0.792824 + 0.914967i −0.997965 0.0637652i \(-0.979689\pi\)
0.205141 + 0.978732i \(0.434235\pi\)
\(402\) −0.312702 + 0.486573i −0.0155961 + 0.0242681i
\(403\) −11.6556 + 18.1364i −0.580606 + 0.903441i
\(404\) 8.38593 9.67788i 0.417215 0.481492i
\(405\) 5.44432 10.0980i 0.270530 0.501775i
\(406\) −2.59204 18.0280i −0.128641 0.894715i
\(407\) −22.5371 + 19.5285i −1.11712 + 0.967993i
\(408\) 3.44955 1.57536i 0.170778 0.0779917i
\(409\) 8.25387 2.42355i 0.408128 0.119837i −0.0712233 0.997460i \(-0.522690\pi\)
0.479351 + 0.877623i \(0.340872\pi\)
\(410\) −13.8567 + 18.7173i −0.684332 + 0.924382i
\(411\) −0.605330 + 4.21016i −0.0298587 + 0.207672i
\(412\) 7.70414 + 11.9879i 0.379556 + 0.590600i
\(413\) 4.12974i 0.203211i
\(414\) −11.3628 4.48618i −0.558451 0.220484i
\(415\) −14.4793 3.06911i −0.710762 0.150657i
\(416\) 3.78489 2.43240i 0.185569 0.119258i
\(417\) −7.67189 1.10305i −0.375694 0.0540166i
\(418\) −17.9090 8.17878i −0.875959 0.400037i
\(419\) −11.4519 + 3.36258i −0.559462 + 0.164273i −0.549225 0.835675i \(-0.685077\pi\)
−0.0102374 + 0.999948i \(0.503259\pi\)
\(420\) 3.15404 0.703734i 0.153902 0.0343387i
\(421\) −4.03795 4.66005i −0.196798 0.227117i 0.648770 0.760984i \(-0.275284\pi\)
−0.845568 + 0.533867i \(0.820738\pi\)
\(422\) −1.16367 + 0.167310i −0.0566465 + 0.00814454i
\(423\) 7.68266 26.1647i 0.373543 1.27217i
\(424\) −3.46974 + 4.00429i −0.168505 + 0.194465i
\(425\) −23.5436 + 15.4874i −1.14203 + 0.751247i
\(426\) −4.94330 3.17686i −0.239503 0.153920i
\(427\) 11.1029 + 9.62076i 0.537309 + 0.465581i
\(428\) 1.10833 3.77462i 0.0535730 0.182453i
\(429\) −1.54136 10.7204i −0.0744174 0.517584i
\(430\) −6.62717 + 3.66466i −0.319591 + 0.176726i
\(431\) −15.2065 33.2976i −0.732472 1.60389i −0.795554 0.605882i \(-0.792820\pi\)
0.0630819 0.998008i \(-0.479907\pi\)
\(432\) 1.05155 + 3.58125i 0.0505928 + 0.172303i
\(433\) −4.22009 1.92725i −0.202804 0.0926177i 0.311424 0.950271i \(-0.399194\pi\)
−0.514228 + 0.857654i \(0.671921\pi\)
\(434\) −1.46477 + 10.1877i −0.0703111 + 0.489025i
\(435\) 11.9293 4.52192i 0.571967 0.216810i
\(436\) 9.81674 0.470137
\(437\) 12.2049 + 23.3993i 0.583838 + 1.11934i
\(438\) 4.27677i 0.204352i
\(439\) 11.1991 7.19721i 0.534502 0.343504i −0.245383 0.969426i \(-0.578914\pi\)
0.779885 + 0.625922i \(0.215277\pi\)
\(440\) 2.75581 7.51054i 0.131378 0.358051i
\(441\) 2.52525 5.52953i 0.120250 0.263311i
\(442\) 7.14409 + 24.3305i 0.339810 + 1.15729i
\(443\) −36.2064 + 16.5349i −1.72022 + 0.785598i −0.724911 + 0.688842i \(0.758119\pi\)
−0.995308 + 0.0967560i \(0.969153\pi\)
\(444\) −3.67255 4.23835i −0.174292 0.201143i
\(445\) 9.75375 + 0.645407i 0.462372 + 0.0305952i
\(446\) −6.05796 1.77878i −0.286853 0.0842276i
\(447\) 6.74290 + 5.84276i 0.318928 + 0.276353i
\(448\) 1.16126 1.80695i 0.0548642 0.0853704i
\(449\) 15.3063 + 9.83679i 0.722351 + 0.464227i 0.849454 0.527663i \(-0.176932\pi\)
−0.127103 + 0.991890i \(0.540568\pi\)
\(450\) −5.41401 11.5284i −0.255219 0.543456i
\(451\) 35.7527 + 10.4979i 1.68353 + 0.494328i
\(452\) 4.74629 0.682414i 0.223247 0.0320980i
\(453\) 8.80083 7.62596i 0.413499 0.358299i
\(454\) 5.88472 + 12.8857i 0.276184 + 0.604758i
\(455\) 1.65633 + 21.5452i 0.0776498 + 1.01006i
\(456\) 1.53811 3.36799i 0.0720286 0.157721i
\(457\) −35.7105 5.13439i −1.67046 0.240177i −0.758863 0.651251i \(-0.774245\pi\)
−0.911602 + 0.411074i \(0.865154\pi\)
\(458\) 10.7033 + 16.6547i 0.500135 + 0.778225i
\(459\) −21.0367 −0.981907
\(460\) −9.10003 + 5.67358i −0.424291 + 0.264532i
\(461\) −7.33582 −0.341663 −0.170832 0.985300i \(-0.554645\pi\)
−0.170832 + 0.985300i \(0.554645\pi\)
\(462\) −2.79547 4.34984i −0.130057 0.202373i
\(463\) 31.2533 + 4.49355i 1.45247 + 0.208833i 0.822932 0.568140i \(-0.192337\pi\)
0.629534 + 0.776973i \(0.283246\pi\)
\(464\) 3.52252 7.71324i 0.163529 0.358078i
\(465\) −7.18816 + 0.552602i −0.333343 + 0.0256263i
\(466\) 1.33828 + 2.93043i 0.0619948 + 0.135750i
\(467\) 4.83467 4.18927i 0.223722 0.193856i −0.535787 0.844353i \(-0.679985\pi\)
0.759509 + 0.650497i \(0.225439\pi\)
\(468\) −11.3438 + 1.63100i −0.524370 + 0.0753930i
\(469\) −1.77162 0.520194i −0.0818057 0.0240203i
\(470\) −14.4472 19.0864i −0.666398 0.880391i
\(471\) 1.47504 + 0.947950i 0.0679662 + 0.0436792i
\(472\) 1.03947 1.61745i 0.0478455 0.0744491i
\(473\) 9.15736 + 7.93490i 0.421056 + 0.364847i
\(474\) 9.48017 + 2.78363i 0.435439 + 0.127856i
\(475\) −7.47010 + 26.4811i −0.342752 + 1.21504i
\(476\) 7.92779 + 9.14915i 0.363370 + 0.419351i
\(477\) 12.2770 5.60670i 0.562123 0.256713i
\(478\) −7.15258 24.3595i −0.327151 1.11418i
\(479\) −7.91448 + 17.3303i −0.361622 + 0.791842i 0.638138 + 0.769922i \(0.279705\pi\)
−0.999760 + 0.0219195i \(0.993022\pi\)
\(480\) 1.41244 + 0.518260i 0.0644687 + 0.0236552i
\(481\) 31.5471 20.2741i 1.43842 0.924419i
\(482\) 9.01947i 0.410826i
\(483\) −0.625901 + 6.90269i −0.0284795 + 0.314083i
\(484\) −1.80053 −0.0818422
\(485\) −11.2592 + 4.26791i −0.511254 + 0.193796i
\(486\) 2.08482 14.5002i 0.0945694 0.657744i
\(487\) −11.3435 5.18039i −0.514022 0.234746i 0.141478 0.989941i \(-0.454815\pi\)
−0.655500 + 0.755195i \(0.727542\pi\)
\(488\) 1.92698 + 6.56270i 0.0872304 + 0.297079i
\(489\) 0.0533388 + 0.116796i 0.00241206 + 0.00528168i
\(490\) −2.58226 4.66976i −0.116655 0.210958i
\(491\) 1.90943 + 13.2804i 0.0861715 + 0.599336i 0.986455 + 0.164032i \(0.0524500\pi\)
−0.900284 + 0.435304i \(0.856641\pi\)
\(492\) −1.97425 + 6.72368i −0.0890061 + 0.303127i
\(493\) 36.1187 + 31.2971i 1.62671 + 1.40955i
\(494\) 20.8279 + 13.3853i 0.937092 + 0.602232i
\(495\) −14.3330 + 14.4865i −0.644219 + 0.651118i
\(496\) −3.13797 + 3.62141i −0.140899 + 0.162606i
\(497\) 5.28486 17.9986i 0.237058 0.807346i
\(498\) −4.40835 + 0.633826i −0.197543 + 0.0284024i
\(499\) 2.03359 + 2.34689i 0.0910360 + 0.105061i 0.799440 0.600746i \(-0.205130\pi\)
−0.708404 + 0.705807i \(0.750584\pi\)
\(500\) −10.9614 2.20170i −0.490209 0.0984630i
\(501\) −2.71166 + 0.796214i −0.121148 + 0.0355722i
\(502\) 11.1514 + 5.09269i 0.497713 + 0.227298i
\(503\) 29.2657 + 4.20777i 1.30489 + 0.187615i 0.759468 0.650544i \(-0.225459\pi\)
0.545425 + 0.838160i \(0.316368\pi\)
\(504\) −4.60282 + 2.95805i −0.205026 + 0.131762i
\(505\) −5.93756 + 28.0120i −0.264218 + 1.24652i
\(506\) 13.5379 + 10.5422i 0.601833 + 0.468656i
\(507\) 4.87268i 0.216403i
\(508\) 1.14551 + 1.78245i 0.0508240 + 0.0790836i
\(509\) 2.13588 14.8554i 0.0946713 0.658453i −0.886129 0.463439i \(-0.846615\pi\)
0.980800 0.195015i \(-0.0624755\pi\)
\(510\) −5.04548 + 6.81533i −0.223418 + 0.301788i
\(511\) 13.0998 3.84644i 0.579500 0.170157i
\(512\) 0.909632 0.415415i 0.0402004 0.0183589i
\(513\) −15.5226 + 13.4504i −0.685338 + 0.593849i
\(514\) −3.48738 24.2552i −0.153822 1.06985i
\(515\) −28.0473 15.1216i −1.23591 0.666339i
\(516\) −1.49225 + 1.72214i −0.0656924 + 0.0758131i
\(517\) −20.7071 + 32.2209i −0.910698 + 1.41707i
\(518\) 9.67909 15.0610i 0.425275 0.661741i
\(519\) −5.65340 + 6.52437i −0.248157 + 0.286388i
\(520\) −4.77430 + 8.85527i −0.209367 + 0.388329i
\(521\) 3.40203 + 23.6616i 0.149045 + 1.03663i 0.917787 + 0.397074i \(0.129974\pi\)
−0.768741 + 0.639560i \(0.779117\pi\)
\(522\) −16.3240 + 14.1448i −0.714482 + 0.619102i
\(523\) 29.5151 13.4791i 1.29060 0.589399i 0.352518 0.935805i \(-0.385325\pi\)
0.938085 + 0.346406i \(0.112598\pi\)
\(524\) 6.29860 1.84944i 0.275156 0.0807930i
\(525\) −5.41039 + 4.78997i −0.236129 + 0.209052i
\(526\) 2.42535 16.8687i 0.105750 0.735510i
\(527\) −14.6013 22.7201i −0.636043 0.989702i
\(528\) 2.40728i 0.104763i
\(529\) −5.63553 22.2989i −0.245023 0.969517i
\(530\) 2.45671 11.5902i 0.106713 0.503444i
\(531\) −4.12010 + 2.64783i −0.178797 + 0.114906i
\(532\) 11.6995 + 1.68214i 0.507239 + 0.0729300i
\(533\) −42.6230 19.4653i −1.84621 0.843135i
\(534\) 2.82221 0.828676i 0.122129 0.0358603i
\(535\) 1.91561 + 8.58551i 0.0828190 + 0.371184i
\(536\) −0.562934 0.649660i −0.0243150 0.0280611i
\(537\) 12.5677 1.80697i 0.542337 0.0779763i
\(538\) −8.11558 + 27.6391i −0.349887 + 1.19161i
\(539\) −5.59124 + 6.45263i −0.240832 + 0.277935i
\(540\) −5.93286 5.87000i −0.255310 0.252604i
\(541\) −4.61180 2.96382i −0.198277 0.127425i 0.437735 0.899104i \(-0.355781\pi\)
−0.636012 + 0.771679i \(0.719417\pi\)
\(542\) 24.2952 + 21.0519i 1.04357 + 0.904257i
\(543\) −0.597556 + 2.03509i −0.0256436 + 0.0873341i
\(544\) 0.802110 + 5.57880i 0.0343902 + 0.239189i
\(545\) −19.2095 + 10.6224i −0.822846 + 0.455014i
\(546\) 2.70110 + 5.91458i 0.115596 + 0.253121i
\(547\) −2.66577 9.07877i −0.113980 0.388180i 0.882667 0.469998i \(-0.155746\pi\)
−0.996647 + 0.0818182i \(0.973927\pi\)
\(548\) −5.75036 2.62610i −0.245643 0.112181i
\(549\) 2.47952 17.2455i 0.105824 0.736019i
\(550\) 2.73432 + 17.6787i 0.116592 + 0.753823i
\(551\) 46.6620 1.98787
\(552\) −1.98257 + 2.54595i −0.0843838 + 0.108363i
\(553\) 31.5414i 1.34128i
\(554\) 4.74895 3.05196i 0.201763 0.129666i
\(555\) 11.7727 + 4.31971i 0.499723 + 0.183361i
\(556\) 4.78536 10.4785i 0.202945 0.444386i
\(557\) 2.65307 + 9.03551i 0.112414 + 0.382847i 0.996411 0.0846454i \(-0.0269758\pi\)
−0.883997 + 0.467492i \(0.845158\pi\)
\(558\) 11.1031 5.07059i 0.470030 0.214655i
\(559\) −9.97823 11.5155i −0.422034 0.487053i
\(560\) −0.317116 + 4.79243i −0.0134006 + 0.202517i
\(561\) 13.0182 + 3.82250i 0.549630 + 0.161386i
\(562\) −8.31096 7.20149i −0.350577 0.303777i
\(563\) 20.3569 31.6759i 0.857939 1.33498i −0.0830510 0.996545i \(-0.526466\pi\)
0.940990 0.338434i \(-0.109897\pi\)
\(564\) −6.05950 3.89420i −0.255151 0.163976i
\(565\) −8.54919 + 6.47118i −0.359667 + 0.272245i
\(566\) 4.98710 + 1.46435i 0.209624 + 0.0615511i
\(567\) 10.9078 1.56830i 0.458084 0.0658626i
\(568\) 6.60016 5.71907i 0.276937 0.239967i
\(569\) 13.1920 + 28.8864i 0.553037 + 1.21098i 0.955349 + 0.295479i \(0.0954792\pi\)
−0.402313 + 0.915502i \(0.631794\pi\)
\(570\) 0.634608 + 8.25488i 0.0265808 + 0.345759i
\(571\) −9.00512 + 19.7185i −0.376853 + 0.825192i 0.622249 + 0.782819i \(0.286219\pi\)
−0.999102 + 0.0423730i \(0.986508\pi\)
\(572\) 15.9330 + 2.29082i 0.666191 + 0.0957838i
\(573\) 0.0513944 + 0.0799712i 0.00214703 + 0.00334085i
\(574\) −22.3703 −0.933719
\(575\) 11.6679 20.9490i 0.486583 0.873634i
\(576\) −2.54728 −0.106137
\(577\) −12.5493 19.5270i −0.522433 0.812921i 0.475328 0.879809i \(-0.342330\pi\)
−0.997761 + 0.0668874i \(0.978693\pi\)
\(578\) −14.6160 2.10147i −0.607947 0.0874096i
\(579\) −4.12644 + 9.03564i −0.171489 + 0.375508i
\(580\) 1.45335 + 18.9050i 0.0603473 + 0.784987i
\(581\) −5.90620 12.9328i −0.245031 0.536542i
\(582\) −2.73821 + 2.37267i −0.113503 + 0.0983505i
\(583\) −18.7637 + 2.69781i −0.777113 + 0.111732i
\(584\) 6.09880 + 1.79077i 0.252370 + 0.0741026i
\(585\) 20.4330 15.4664i 0.844799 0.639457i
\(586\) 8.73347 + 5.61266i 0.360776 + 0.231857i
\(587\) −9.48409 + 14.7575i −0.391450 + 0.609109i −0.979915 0.199414i \(-0.936096\pi\)
0.588465 + 0.808523i \(0.299732\pi\)
\(588\) −1.21349 1.05149i −0.0500434 0.0433629i
\(589\) −25.3008 7.42897i −1.04250 0.306105i
\(590\) −0.283858 + 4.28982i −0.0116863 + 0.176609i
\(591\) −0.896398 1.03450i −0.0368729 0.0425536i
\(592\) 7.58180 3.46249i 0.311610 0.142307i
\(593\) −8.88549 30.2612i −0.364883 1.24268i −0.913581 0.406657i \(-0.866694\pi\)
0.548698 0.836021i \(-0.315124\pi\)
\(594\) −5.54740 + 12.1471i −0.227613 + 0.498402i
\(595\) −25.4132 9.32477i −1.04184 0.382278i
\(596\) −11.1553 + 7.16911i −0.456941 + 0.293658i
\(597\) 8.24422i 0.337414i
\(598\) −14.9642 15.5447i −0.611930 0.635672i
\(599\) 27.0065 1.10345 0.551727 0.834025i \(-0.313969\pi\)
0.551727 + 0.834025i \(0.313969\pi\)
\(600\) −3.32468 + 0.514220i −0.135729 + 0.0209929i
\(601\) 1.94657 13.5387i 0.0794022 0.552254i −0.910825 0.412792i \(-0.864554\pi\)
0.990227 0.139462i \(-0.0445373\pi\)
\(602\) −6.61704 3.02190i −0.269690 0.123163i
\(603\) 0.616912 + 2.10101i 0.0251226 + 0.0855597i
\(604\) 7.18977 + 15.7434i 0.292547 + 0.640590i
\(605\) 3.52330 1.94830i 0.143243 0.0792096i
\(606\) 1.22621 + 8.52848i 0.0498114 + 0.346446i
\(607\) −0.196632 + 0.669666i −0.00798103 + 0.0271809i −0.963387 0.268114i \(-0.913600\pi\)
0.955406 + 0.295295i \(0.0954178\pi\)
\(608\) 4.15882 + 3.60364i 0.168663 + 0.146147i
\(609\) 10.3093 + 6.62540i 0.417755 + 0.268475i
\(610\) −10.8721 10.7569i −0.440197 0.435532i
\(611\) 31.5407 36.4000i 1.27600 1.47258i
\(612\) 4.04481 13.7754i 0.163502 0.556836i
\(613\) −38.6183 + 5.55248i −1.55978 + 0.224262i −0.867526 0.497392i \(-0.834291\pi\)
−0.692254 + 0.721654i \(0.743382\pi\)
\(614\) −0.622585 0.718502i −0.0251255 0.0289964i
\(615\) −3.41226 15.2933i −0.137595 0.616684i
\(616\) 7.37353 2.16506i 0.297088 0.0872329i
\(617\) 17.4707 + 7.97858i 0.703342 + 0.321206i 0.734785 0.678300i \(-0.237283\pi\)
−0.0314429 + 0.999506i \(0.510010\pi\)
\(618\) −9.49041 1.36452i −0.381760 0.0548888i
\(619\) −12.2502 + 7.87271i −0.492376 + 0.316431i −0.763160 0.646209i \(-0.776353\pi\)
0.270784 + 0.962640i \(0.412717\pi\)
\(620\) 2.22180 10.4819i 0.0892297 0.420964i
\(621\) 15.8710 8.27816i 0.636881 0.332191i
\(622\) 4.14003i 0.166000i
\(623\) 5.07649 + 7.89917i 0.203385 + 0.316474i
\(624\) −0.430813 + 2.99637i −0.0172463 + 0.119951i
\(625\) 23.8318 7.55270i 0.953274 0.302108i
\(626\) 9.10353 2.67304i 0.363850 0.106836i
\(627\) 12.0499 5.50302i 0.481228 0.219770i
\(628\) −1.96943 + 1.70652i −0.0785890 + 0.0680978i
\(629\) 6.68560 + 46.4993i 0.266572 + 1.85405i
\(630\) 5.80604 10.7689i 0.231318 0.429045i
\(631\) 24.8801 28.7132i 0.990463 1.14306i 0.000748389 1.00000i \(-0.499762\pi\)
0.989715 0.143056i \(-0.0456928\pi\)
\(632\) −7.93909 + 12.3535i −0.315800 + 0.491394i
\(633\) 0.427656 0.665445i 0.0169978 0.0264491i
\(634\) −9.31852 + 10.7541i −0.370086 + 0.427102i
\(635\) −4.17030 2.24841i −0.165493 0.0892253i
\(636\) −0.507353 3.52872i −0.0201179 0.139923i
\(637\) 8.11426 7.03105i 0.321499 0.278580i
\(638\) 27.5963 12.6028i 1.09255 0.498950i
\(639\) −21.3450 + 6.26746i −0.844395 + 0.247937i
\(640\) −1.33047 + 1.79718i −0.0525916 + 0.0710396i
\(641\) −4.44860 + 30.9407i −0.175709 + 1.22208i 0.690845 + 0.723002i \(0.257238\pi\)
−0.866555 + 0.499082i \(0.833671\pi\)
\(642\) 1.43104 + 2.22675i 0.0564787 + 0.0878826i
\(643\) 16.3114i 0.643260i −0.946865 0.321630i \(-0.895769\pi\)
0.946865 0.321630i \(-0.104231\pi\)
\(644\) −9.58137 3.78285i −0.377559 0.149065i
\(645\) 1.05657 4.98463i 0.0416023 0.196270i
\(646\) −26.0917 + 16.7681i −1.02657 + 0.659734i
\(647\) 24.3191 + 3.49656i 0.956084 + 0.137464i 0.602659 0.797999i \(-0.294108\pi\)
0.353425 + 0.935463i \(0.385017\pi\)
\(648\) 4.66688 + 2.13129i 0.183332 + 0.0837250i
\(649\) 6.60023 1.93800i 0.259082 0.0760732i
\(650\) −0.239618 22.4942i −0.00939860 0.882297i
\(651\) −4.53503 5.23371i −0.177742 0.205125i
\(652\) −0.188888 + 0.0271580i −0.00739744 + 0.00106359i
\(653\) 7.71063 26.2600i 0.301740 1.02763i −0.659450 0.751748i \(-0.729211\pi\)
0.961191 0.275885i \(-0.0889709\pi\)
\(654\) −4.32543 + 4.99181i −0.169138 + 0.195195i
\(655\) −10.3240 + 10.4345i −0.403391 + 0.407711i
\(656\) −8.76152 5.63069i −0.342080 0.219841i
\(657\) −12.2365 10.6030i −0.477392 0.413663i
\(658\) 6.47819 22.0627i 0.252546 0.860093i
\(659\) −2.08830 14.5244i −0.0813486 0.565792i −0.989208 0.146517i \(-0.953194\pi\)
0.907859 0.419275i \(-0.137716\pi\)
\(660\) 2.60485 + 4.71060i 0.101394 + 0.183360i
\(661\) 13.4754 + 29.5070i 0.524133 + 1.14769i 0.967851 + 0.251525i \(0.0809319\pi\)
−0.443718 + 0.896166i \(0.646341\pi\)
\(662\) 2.50158 + 8.51959i 0.0972266 + 0.331123i
\(663\) −15.5199 7.08769i −0.602742 0.275263i
\(664\) 0.942013 6.55185i 0.0365572 0.254261i
\(665\) −24.7140 + 9.36809i −0.958369 + 0.363279i
\(666\) −21.2317 −0.822710
\(667\) −39.5653 9.39875i −1.53198 0.363921i
\(668\) 4.20030i 0.162514i
\(669\) 3.57375 2.29671i 0.138169 0.0887960i
\(670\) 1.80454 + 0.662131i 0.0697153 + 0.0255803i
\(671\) −10.1657 + 22.2598i −0.392442 + 0.859328i
\(672\) 0.407164 + 1.38667i 0.0157067 + 0.0534921i
\(673\) 15.7371 7.18690i 0.606621 0.277035i −0.0883303 0.996091i \(-0.528153\pi\)
0.694951 + 0.719057i \(0.255426\pi\)
\(674\) −8.74179 10.0886i −0.336721 0.388597i
\(675\) 17.9613 + 5.06672i 0.691329 + 0.195018i
\(676\) −6.94860 2.04029i −0.267254 0.0784728i
\(677\) 1.93111 + 1.67332i 0.0742186 + 0.0643108i 0.691180 0.722683i \(-0.257091\pi\)
−0.616961 + 0.786993i \(0.711637\pi\)
\(678\) −1.74429 + 2.71417i −0.0669891 + 0.104237i
\(679\) −9.73022 6.25323i −0.373412 0.239977i
\(680\) −7.60623 10.0487i −0.291686 0.385351i
\(681\) −9.14531 2.68530i −0.350449 0.102901i
\(682\) −16.9695 + 2.43985i −0.649797 + 0.0934267i
\(683\) 26.9619 23.3626i 1.03167 0.893946i 0.0372347 0.999307i \(-0.488145\pi\)
0.994434 + 0.105360i \(0.0335996\pi\)
\(684\) −5.82307 12.7507i −0.222651 0.487537i
\(685\) 14.0940 1.08350i 0.538504 0.0413985i
\(686\) 8.37532 18.3394i 0.319771 0.700201i
\(687\) −13.1850 1.89572i −0.503040 0.0723262i
\(688\) −1.83100 2.84909i −0.0698061 0.108620i
\(689\) 23.8382 0.908164
\(690\) 1.12462 7.12724i 0.0428136 0.271329i
\(691\) −5.18589 −0.197281 −0.0986404 0.995123i \(-0.531449\pi\)
−0.0986404 + 0.995123i \(0.531449\pi\)
\(692\) −6.93676 10.7938i −0.263696 0.410319i
\(693\) −19.3762 2.78587i −0.736039 0.105826i
\(694\) −9.02366 + 19.7590i −0.342533 + 0.750043i
\(695\) 1.97439 + 25.6825i 0.0748929 + 0.974194i
\(696\) 2.37010 + 5.18979i 0.0898383 + 0.196718i
\(697\) 44.3623 38.4401i 1.68034 1.45602i
\(698\) −3.30750 + 0.475546i −0.125191 + 0.0179997i
\(699\) −2.07980 0.610684i −0.0786652 0.0230982i
\(700\) −4.56521 9.72104i −0.172549 0.367421i
\(701\) −16.0200 10.2954i −0.605067 0.388853i 0.201937 0.979398i \(-0.435276\pi\)
−0.807004 + 0.590545i \(0.798913\pi\)
\(702\) 9.07879 14.1269i 0.342657 0.533185i
\(703\) 34.6638 + 30.0364i 1.30737 + 1.13284i
\(704\) 3.43286 + 1.00798i 0.129381 + 0.0379896i
\(705\) 16.0711 + 1.06343i 0.605273 + 0.0400510i
\(706\) 12.4518 + 14.3702i 0.468630 + 0.540828i
\(707\) −25.0200 + 11.4263i −0.940974 + 0.429728i
\(708\) 0.364463 + 1.24125i 0.0136973 + 0.0466489i
\(709\) 17.7445 38.8550i 0.666409 1.45923i −0.210018 0.977697i \(-0.567352\pi\)
0.876427 0.481535i \(-0.159920\pi\)
\(710\) −6.72685 + 18.3330i −0.252454 + 0.688026i
\(711\) 31.4678 20.2231i 1.18013 0.758426i
\(712\) 4.37155i 0.163831i
\(713\) 19.9565 + 11.3952i 0.747376 + 0.426755i
\(714\) −8.14546 −0.304836
\(715\) −33.6567 + 12.7579i −1.25869 + 0.477119i
\(716\) −2.68557 + 18.6786i −0.100365 + 0.698051i
\(717\) 15.5383 + 7.09612i 0.580289 + 0.265009i
\(718\) 0.606402 + 2.06521i 0.0226307 + 0.0770731i
\(719\) −13.0242 28.5190i −0.485720 1.06358i −0.980851 0.194760i \(-0.937607\pi\)
0.495131 0.868819i \(-0.335120\pi\)
\(720\) 4.98456 2.75634i 0.185764 0.102723i
\(721\) −4.35597 30.2964i −0.162225 1.12830i
\(722\) −3.17851 + 10.8250i −0.118292 + 0.402866i
\(723\) 4.58640 + 3.97414i 0.170570 + 0.147800i
\(724\) −2.65189 1.70427i −0.0985568 0.0633386i
\(725\) −23.3005 35.4209i −0.865358 1.31550i
\(726\) 0.793345 0.915568i 0.0294438 0.0339799i
\(727\) 10.0017 34.0626i 0.370942 1.26331i −0.536775 0.843726i \(-0.680357\pi\)
0.907716 0.419585i \(-0.137824\pi\)
\(728\) −9.56539 + 1.37529i −0.354517 + 0.0509718i
\(729\) −3.62455 4.18295i −0.134242 0.154924i
\(730\) −13.8720 + 3.09513i −0.513424 + 0.114556i
\(731\) 18.3149 5.37773i 0.677400 0.198903i
\(732\) −4.18619 1.91177i −0.154726 0.0706611i
\(733\) −32.1240 4.61874i −1.18653 0.170597i −0.479344 0.877627i \(-0.659126\pi\)
−0.707184 + 0.707030i \(0.750035\pi\)
\(734\) 9.77041 6.27906i 0.360632 0.231764i
\(735\) 3.51236 + 0.744498i 0.129555 + 0.0274612i
\(736\) −2.80047 3.89325i −0.103227 0.143507i
\(737\) 3.07555i 0.113289i
\(738\) 14.3430 + 22.3181i 0.527972 + 0.821540i
\(739\) 1.23645 8.59969i 0.0454835 0.316345i −0.954360 0.298658i \(-0.903461\pi\)
0.999844 0.0176862i \(-0.00563000\pi\)
\(740\) −11.0895 + 14.9795i −0.407659 + 0.550657i
\(741\) −15.9835 + 4.69319i −0.587170 + 0.172409i
\(742\) 10.3522 4.72769i 0.380041 0.173559i
\(743\) −13.4558 + 11.6596i −0.493647 + 0.427748i −0.865775 0.500434i \(-0.833174\pi\)
0.372128 + 0.928182i \(0.378628\pi\)
\(744\) −0.458841 3.19131i −0.0168219 0.116999i
\(745\) 14.0715 26.0995i 0.515539 0.956211i
\(746\) 1.54832 1.78686i 0.0566881 0.0654216i
\(747\) −9.11576 + 14.1844i −0.333528 + 0.518980i
\(748\) −10.9020 + 16.9638i −0.398617 + 0.620260i
\(749\) −5.53349 + 6.38599i −0.202189 + 0.233339i
\(750\) 5.94935 4.60377i 0.217240 0.168106i
\(751\) −1.15010 7.99912i −0.0419678 0.291892i −0.999987 0.00518675i \(-0.998349\pi\)
0.958019 0.286705i \(-0.0925601\pi\)
\(752\) 8.09049 7.01045i 0.295030 0.255645i
\(753\) −7.50315 + 3.42657i −0.273430 + 0.124871i
\(754\) −36.6049 + 10.7482i −1.33307 + 0.391425i
\(755\) −31.1045 23.0271i −1.13201 0.838041i
\(756\) 1.14094 7.93541i 0.0414956 0.288608i
\(757\) 5.46238 + 8.49962i 0.198533 + 0.308924i 0.926218 0.376988i \(-0.123040\pi\)
−0.727685 + 0.685912i \(0.759404\pi\)
\(758\) 14.5030i 0.526773i
\(759\) −11.3257 + 2.23896i −0.411098 + 0.0812692i
\(760\) −12.0374 2.55152i −0.436644 0.0925532i
\(761\) −4.92933 + 3.16789i −0.178688 + 0.114836i −0.626927 0.779078i \(-0.715688\pi\)
0.448239 + 0.893914i \(0.352051\pi\)
\(762\) −1.41111 0.202887i −0.0511192 0.00734982i
\(763\) −19.1802 8.75929i −0.694369 0.317108i
\(764\) −0.135561 + 0.0398044i −0.00490444 + 0.00144007i
\(765\) 6.99096 + 31.3326i 0.252759 + 1.13283i
\(766\) −10.8483 12.5196i −0.391966 0.452353i
\(767\) −8.56222 + 1.23106i −0.309164 + 0.0444510i
\(768\) −0.189561 + 0.645587i −0.00684021 + 0.0232956i
\(769\) −16.8713 + 19.4705i −0.608394 + 0.702124i −0.973460 0.228857i \(-0.926501\pi\)
0.365066 + 0.930982i \(0.381047\pi\)
\(770\) −12.0859 + 12.2153i −0.435545 + 0.440209i
\(771\) 13.8704 + 8.91395i 0.499530 + 0.321028i
\(772\) −11.1573 9.66784i −0.401559 0.347953i