Properties

Label 400.2.be.a.221.56
Level $400$
Weight $2$
Character 400.221
Analytic conductor $3.194$
Analytic rank $0$
Dimension $464$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 400 = 2^{4} \cdot 5^{2} \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 400.be (of order \(20\), degree \(8\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.19401608085\)
Analytic rank: \(0\)
Dimension: \(464\)
Relative dimension: \(58\) over \(\Q(\zeta_{20})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{20}]$

Embedding invariants

Embedding label 221.56
Character \(\chi\) \(=\) 400.221
Dual form 400.2.be.a.181.56

$q$-expansion

\(f(q)\) \(=\) \(q+(1.37557 - 0.328323i) q^{2} +(0.516648 + 3.26199i) q^{3} +(1.78441 - 0.903264i) q^{4} +(-0.0328668 - 2.23583i) q^{5} +(1.78167 + 4.31748i) q^{6} +1.19699i q^{7} +(2.15802 - 1.82837i) q^{8} +(-7.52046 + 2.44355i) q^{9} +O(q^{10})\) \(q+(1.37557 - 0.328323i) q^{2} +(0.516648 + 3.26199i) q^{3} +(1.78441 - 0.903264i) q^{4} +(-0.0328668 - 2.23583i) q^{5} +(1.78167 + 4.31748i) q^{6} +1.19699i q^{7} +(2.15802 - 1.82837i) q^{8} +(-7.52046 + 2.44355i) q^{9} +(-0.779283 - 3.06475i) q^{10} +(2.63425 + 5.17002i) q^{11} +(3.86835 + 5.35405i) q^{12} +(1.38461 - 2.71746i) q^{13} +(0.392998 + 1.64655i) q^{14} +(7.27625 - 1.26235i) q^{15} +(2.36823 - 3.22358i) q^{16} +(1.03431 - 0.751471i) q^{17} +(-9.54268 + 5.83042i) q^{18} +(-4.56423 - 0.722902i) q^{19} +(-2.07819 - 3.95994i) q^{20} +(-3.90456 + 0.618421i) q^{21} +(5.32105 + 6.24686i) q^{22} +(-0.833756 - 0.270904i) q^{23} +(7.07905 + 6.09482i) q^{24} +(-4.99784 + 0.146969i) q^{25} +(1.01244 - 4.19267i) q^{26} +(-7.35813 - 14.4411i) q^{27} +(1.08120 + 2.13592i) q^{28} +(-0.988223 - 6.23939i) q^{29} +(9.59457 - 4.12541i) q^{30} +(-0.991203 + 0.720151i) q^{31} +(2.19930 - 5.21182i) q^{32} +(-15.5035 + 11.2640i) q^{33} +(1.17605 - 1.37329i) q^{34} +(2.67626 - 0.0393412i) q^{35} +(-11.2124 + 11.1532i) q^{36} +(1.69945 + 0.865914i) q^{37} +(-6.51578 + 0.504132i) q^{38} +(9.57967 + 3.11262i) q^{39} +(-4.15884 - 4.76488i) q^{40} +(4.73828 - 1.53956i) q^{41} +(-5.16797 + 2.13264i) q^{42} +(2.77602 - 2.77602i) q^{43} +(9.37048 + 6.84599i) q^{44} +(5.71052 + 16.7341i) q^{45} +(-1.23584 - 0.0989073i) q^{46} +(-4.49875 - 3.26854i) q^{47} +(11.7388 + 6.05967i) q^{48} +5.56722 q^{49} +(-6.82665 + 1.84307i) q^{50} +(2.98566 + 2.98566i) q^{51} +(0.0161352 - 6.09973i) q^{52} +(-11.5597 + 1.83088i) q^{53} +(-14.8630 - 17.4490i) q^{54} +(11.4727 - 6.05966i) q^{55} +(2.18854 + 2.58313i) q^{56} -15.2619i q^{57} +(-3.40791 - 8.25829i) q^{58} +(-0.622968 - 0.317418i) q^{59} +(11.8436 - 8.82492i) q^{60} +(9.63369 - 4.90861i) q^{61} +(-1.12703 + 1.31606i) q^{62} +(-2.92490 - 9.00190i) q^{63} +(1.31414 - 7.89133i) q^{64} +(-6.12127 - 3.00644i) q^{65} +(-17.6280 + 20.5846i) q^{66} +(-11.8275 - 1.87329i) q^{67} +(1.16686 - 2.27519i) q^{68} +(0.452926 - 2.85966i) q^{69} +(3.66847 - 0.932792i) q^{70} +(-2.89140 + 3.97967i) q^{71} +(-11.7616 + 19.0234i) q^{72} +(3.69268 + 1.19982i) q^{73} +(2.62202 + 0.633161i) q^{74} +(-3.06153 - 16.2270i) q^{75} +(-8.79742 + 2.83275i) q^{76} +(-6.18845 + 3.15317i) q^{77} +(14.1995 + 1.13642i) q^{78} +(5.62116 + 4.08401i) q^{79} +(-7.28521 - 5.18900i) q^{80} +(24.1134 - 17.5194i) q^{81} +(6.01238 - 3.67346i) q^{82} +(-5.60101 - 0.887112i) q^{83} +(-6.40873 + 4.63036i) q^{84} +(-1.71415 - 2.28784i) q^{85} +(2.90719 - 4.73004i) q^{86} +(19.8423 - 6.44714i) q^{87} +(15.1375 + 6.34063i) q^{88} +(3.34272 + 1.08612i) q^{89} +(13.3494 + 21.1442i) q^{90} +(3.25277 + 1.65737i) q^{91} +(-1.73246 + 0.269699i) q^{92} +(-2.86123 - 2.86123i) q^{93} +(-7.26150 - 3.01907i) q^{94} +(-1.46627 + 10.2286i) q^{95} +(18.1372 + 4.48140i) q^{96} +(12.1305 + 8.81332i) q^{97} +(7.65812 - 1.82784i) q^{98} +(-32.4440 - 32.4440i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} + O(q^{10}) \) \( 464q - 6q^{2} - 6q^{3} - 6q^{4} - 8q^{5} - 6q^{6} + 12q^{8} - 14q^{10} - 6q^{11} + 10q^{12} - 6q^{13} + 6q^{14} - 16q^{15} - 6q^{16} - 12q^{17} - 24q^{18} - 6q^{19} - 22q^{20} + 12q^{21} + 10q^{22} - 16q^{24} + 4q^{26} - 18q^{27} + 18q^{28} - 6q^{29} - 6q^{30} + 12q^{31} - 36q^{32} - 12q^{33} - 30q^{34} + 44q^{35} - 82q^{36} - 6q^{37} - 76q^{38} - 52q^{40} - 10q^{42} - 48q^{43} + 36q^{44} - 12q^{45} - 14q^{46} - 12q^{47} - 116q^{48} - 400q^{49} + 10q^{50} - 4q^{51} + 32q^{52} - 6q^{53} - 30q^{54} + 36q^{56} + 26q^{58} - 6q^{59} + 48q^{60} - 6q^{61} - 34q^{62} + 72q^{63} - 24q^{64} + 16q^{65} + 92q^{66} + 30q^{67} + 28q^{68} - 18q^{69} + 60q^{70} + 22q^{72} + 28q^{74} - 26q^{75} - 76q^{76} + 36q^{77} + 14q^{78} - 52q^{79} - 34q^{80} + 72q^{81} + 56q^{82} - 46q^{83} + 112q^{84} + 2q^{85} - 46q^{86} - 136q^{88} - 42q^{90} + 36q^{91} - 4q^{93} + 50q^{94} - 40q^{95} - 66q^{96} - 12q^{97} - 8q^{98} - 40q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/400\mathbb{Z}\right)^\times\).

\(n\) \(101\) \(177\) \(351\)
\(\chi(n)\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{3}{5}\right)\) \(1\)

Coefficient data

For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).

Display \(a_p\) with \(p\) up to: 50 250 1000 (See \(a_n\) instead) (See \(a_n\) instead) (See \(a_n\) instead) Display \(a_n\) with \(n\) up to: 50 250 1000 (See only \(a_p\)) (See only \(a_p\)) (See only \(a_p\))
Significant digits:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 1.37557 0.328323i 0.972678 0.232159i
\(3\) 0.516648 + 3.26199i 0.298287 + 1.88331i 0.447162 + 0.894453i \(0.352435\pi\)
−0.148876 + 0.988856i \(0.547565\pi\)
\(4\) 1.78441 0.903264i 0.892204 0.451632i
\(5\) −0.0328668 2.23583i −0.0146985 0.999892i
\(6\) 1.78167 + 4.31748i 0.727364 + 1.76260i
\(7\) 1.19699i 0.452419i 0.974079 + 0.226209i \(0.0726334\pi\)
−0.974079 + 0.226209i \(0.927367\pi\)
\(8\) 2.15802 1.82837i 0.762977 0.646426i
\(9\) −7.52046 + 2.44355i −2.50682 + 0.814515i
\(10\) −0.779283 3.06475i −0.246431 0.969160i
\(11\) 2.63425 + 5.17002i 0.794258 + 1.55882i 0.828886 + 0.559418i \(0.188975\pi\)
−0.0346280 + 0.999400i \(0.511025\pi\)
\(12\) 3.86835 + 5.35405i 1.11670 + 1.54558i
\(13\) 1.38461 2.71746i 0.384023 0.753687i −0.615380 0.788230i \(-0.710998\pi\)
0.999403 + 0.0345430i \(0.0109976\pi\)
\(14\) 0.392998 + 1.64655i 0.105033 + 0.440058i
\(15\) 7.27625 1.26235i 1.87872 0.325936i
\(16\) 2.36823 3.22358i 0.592057 0.805896i
\(17\) 1.03431 0.751471i 0.250857 0.182258i −0.455249 0.890364i \(-0.650450\pi\)
0.706107 + 0.708106i \(0.250450\pi\)
\(18\) −9.54268 + 5.83042i −2.24923 + 1.37424i
\(19\) −4.56423 0.722902i −1.04711 0.165845i −0.390904 0.920431i \(-0.627838\pi\)
−0.656201 + 0.754586i \(0.727838\pi\)
\(20\) −2.07819 3.95994i −0.464697 0.885470i
\(21\) −3.90456 + 0.618421i −0.852045 + 0.134951i
\(22\) 5.32105 + 6.24686i 1.13445 + 1.33183i
\(23\) −0.833756 0.270904i −0.173850 0.0564873i 0.220798 0.975319i \(-0.429134\pi\)
−0.394649 + 0.918832i \(0.629134\pi\)
\(24\) 7.07905 + 6.09482i 1.44501 + 1.24410i
\(25\) −4.99784 + 0.146969i −0.999568 + 0.0293938i
\(26\) 1.01244 4.19267i 0.198555 0.822249i
\(27\) −7.35813 14.4411i −1.41607 2.77920i
\(28\) 1.08120 + 2.13592i 0.204327 + 0.403650i
\(29\) −0.988223 6.23939i −0.183508 1.15863i −0.891707 0.452613i \(-0.850492\pi\)
0.708199 0.706013i \(-0.249508\pi\)
\(30\) 9.59457 4.12541i 1.75172 0.753193i
\(31\) −0.991203 + 0.720151i −0.178025 + 0.129343i −0.673229 0.739434i \(-0.735093\pi\)
0.495204 + 0.868777i \(0.335093\pi\)
\(32\) 2.19930 5.21182i 0.388785 0.921329i
\(33\) −15.5035 + 11.2640i −2.69882 + 1.96081i
\(34\) 1.17605 1.37329i 0.201690 0.235518i
\(35\) 2.67626 0.0393412i 0.452370 0.00664988i
\(36\) −11.2124 + 11.1532i −1.86873 + 1.85887i
\(37\) 1.69945 + 0.865914i 0.279388 + 0.142355i 0.588070 0.808810i \(-0.299888\pi\)
−0.308682 + 0.951165i \(0.599888\pi\)
\(38\) −6.51578 + 0.504132i −1.05700 + 0.0817811i
\(39\) 9.57967 + 3.11262i 1.53397 + 0.498419i
\(40\) −4.15884 4.76488i −0.657571 0.753393i
\(41\) 4.73828 1.53956i 0.739995 0.240439i 0.0853244 0.996353i \(-0.472807\pi\)
0.654671 + 0.755914i \(0.272807\pi\)
\(42\) −5.16797 + 2.13264i −0.797435 + 0.329073i
\(43\) 2.77602 2.77602i 0.423338 0.423338i −0.463013 0.886351i \(-0.653232\pi\)
0.886351 + 0.463013i \(0.153232\pi\)
\(44\) 9.37048 + 6.84599i 1.41265 + 1.03207i
\(45\) 5.71052 + 16.7341i 0.851274 + 2.49458i
\(46\) −1.23584 0.0989073i −0.182214 0.0145831i
\(47\) −4.49875 3.26854i −0.656211 0.476765i 0.209171 0.977879i \(-0.432924\pi\)
−0.865381 + 0.501114i \(0.832924\pi\)
\(48\) 11.7388 + 6.05967i 1.69435 + 0.874638i
\(49\) 5.56722 0.795317
\(50\) −6.82665 + 1.84307i −0.965434 + 0.260649i
\(51\) 2.98566 + 2.98566i 0.418076 + 0.418076i
\(52\) 0.0161352 6.09973i 0.00223755 0.845880i
\(53\) −11.5597 + 1.83088i −1.58785 + 0.251490i −0.886982 0.461803i \(-0.847203\pi\)
−0.700865 + 0.713294i \(0.747203\pi\)
\(54\) −14.8630 17.4490i −2.02260 2.37451i
\(55\) 11.4727 6.05966i 1.54698 0.817084i
\(56\) 2.18854 + 2.58313i 0.292455 + 0.345185i
\(57\) 15.2619i 2.02149i
\(58\) −3.40791 8.25829i −0.447480 1.08437i
\(59\) −0.622968 0.317418i −0.0811035 0.0413243i 0.412968 0.910745i \(-0.364492\pi\)
−0.494072 + 0.869421i \(0.664492\pi\)
\(60\) 11.8436 8.82492i 1.52900 1.13929i
\(61\) 9.63369 4.90861i 1.23347 0.628483i 0.289076 0.957306i \(-0.406652\pi\)
0.944391 + 0.328823i \(0.106652\pi\)
\(62\) −1.12703 + 1.31606i −0.143133 + 0.167139i
\(63\) −2.92490 9.00190i −0.368502 1.13413i
\(64\) 1.31414 7.89133i 0.164267 0.986416i
\(65\) −6.12127 3.00644i −0.759250 0.372903i
\(66\) −17.6280 + 20.5846i −2.16986 + 2.53379i
\(67\) −11.8275 1.87329i −1.44496 0.228859i −0.615812 0.787893i \(-0.711172\pi\)
−0.829144 + 0.559035i \(0.811172\pi\)
\(68\) 1.16686 2.27519i 0.141502 0.275907i
\(69\) 0.452926 2.85966i 0.0545259 0.344263i
\(70\) 3.66847 0.932792i 0.438467 0.111490i
\(71\) −2.89140 + 3.97967i −0.343146 + 0.472300i −0.945357 0.326037i \(-0.894287\pi\)
0.602211 + 0.798337i \(0.294287\pi\)
\(72\) −11.7616 + 19.0234i −1.38612 + 2.24193i
\(73\) 3.69268 + 1.19982i 0.432195 + 0.140429i 0.517032 0.855966i \(-0.327037\pi\)
−0.0848366 + 0.996395i \(0.527037\pi\)
\(74\) 2.62202 + 0.633161i 0.304804 + 0.0736035i
\(75\) −3.06153 16.2270i −0.353516 1.87373i
\(76\) −8.79742 + 2.83275i −1.00913 + 0.324938i
\(77\) −6.18845 + 3.15317i −0.705239 + 0.359337i
\(78\) 14.1995 + 1.13642i 1.60778 + 0.128675i
\(79\) 5.62116 + 4.08401i 0.632430 + 0.459487i 0.857241 0.514915i \(-0.172177\pi\)
−0.224811 + 0.974402i \(0.572177\pi\)
\(80\) −7.28521 5.18900i −0.814511 0.580148i
\(81\) 24.1134 17.5194i 2.67927 1.94660i
\(82\) 6.01238 3.67346i 0.663957 0.405666i
\(83\) −5.60101 0.887112i −0.614790 0.0973732i −0.158730 0.987322i \(-0.550740\pi\)
−0.456060 + 0.889949i \(0.650740\pi\)
\(84\) −6.40873 + 4.63036i −0.699250 + 0.505214i
\(85\) −1.71415 2.28784i −0.185926 0.248151i
\(86\) 2.90719 4.73004i 0.313490 0.510054i
\(87\) 19.8423 6.44714i 2.12731 0.691206i
\(88\) 15.1375 + 6.34063i 1.61366 + 0.675914i
\(89\) 3.34272 + 1.08612i 0.354328 + 0.115128i 0.480772 0.876846i \(-0.340356\pi\)
−0.126444 + 0.991974i \(0.540356\pi\)
\(90\) 13.3494 + 21.1442i 1.40715 + 2.22879i
\(91\) 3.25277 + 1.65737i 0.340982 + 0.173739i
\(92\) −1.73246 + 0.269699i −0.180621 + 0.0281180i
\(93\) −2.86123 2.86123i −0.296695 0.296695i
\(94\) −7.26150 3.01907i −0.748967 0.311393i
\(95\) −1.46627 + 10.2286i −0.150436 + 1.04943i
\(96\) 18.1372 + 4.48140i 1.85112 + 0.457381i
\(97\) 12.1305 + 8.81332i 1.23167 + 0.894857i 0.997014 0.0772225i \(-0.0246052\pi\)
0.234651 + 0.972080i \(0.424605\pi\)
\(98\) 7.65812 1.82784i 0.773587 0.184640i
\(99\) −32.4440 32.4440i −3.26074 3.26074i
\(100\) −8.78544 + 4.77662i −0.878544 + 0.477662i
\(101\) −0.262323 + 0.262323i −0.0261021 + 0.0261021i −0.720037 0.693935i \(-0.755875\pi\)
0.693935 + 0.720037i \(0.255875\pi\)
\(102\) 5.08726 + 3.12674i 0.503714 + 0.309593i
\(103\) 5.44427 7.49340i 0.536440 0.738346i −0.451655 0.892193i \(-0.649166\pi\)
0.988095 + 0.153846i \(0.0491661\pi\)
\(104\) −1.98048 8.39593i −0.194202 0.823288i
\(105\) 1.51101 + 8.70959i 0.147460 + 0.849969i
\(106\) −15.3001 + 6.31382i −1.48608 + 0.613252i
\(107\) −8.74745 + 8.74745i −0.845648 + 0.845648i −0.989587 0.143939i \(-0.954023\pi\)
0.143939 + 0.989587i \(0.454023\pi\)
\(108\) −26.1741 19.1226i −2.51860 1.84007i
\(109\) −7.13051 + 13.9944i −0.682979 + 1.34042i 0.245630 + 0.969364i \(0.421005\pi\)
−0.928609 + 0.371059i \(0.878995\pi\)
\(110\) 13.7920 12.1022i 1.31502 1.15390i
\(111\) −1.94658 + 5.99096i −0.184761 + 0.568637i
\(112\) 3.85859 + 2.83474i 0.364603 + 0.267858i
\(113\) −1.35608 4.17357i −0.127569 0.392617i 0.866791 0.498671i \(-0.166178\pi\)
−0.994360 + 0.106054i \(0.966178\pi\)
\(114\) −5.01084 20.9939i −0.469308 1.96626i
\(115\) −0.578291 + 1.87304i −0.0539259 + 0.174662i
\(116\) −7.39921 10.2410i −0.687000 0.950853i
\(117\) −3.77270 + 23.8199i −0.348786 + 2.20215i
\(118\) −0.961154 0.232098i −0.0884814 0.0213663i
\(119\) 0.899502 + 1.23806i 0.0824572 + 0.113493i
\(120\) 13.3943 16.0278i 1.22273 1.46314i
\(121\) −13.3241 + 18.3391i −1.21128 + 1.66719i
\(122\) 11.6402 9.91511i 1.05386 0.897672i
\(123\) 7.47005 + 14.6608i 0.673552 + 1.32192i
\(124\) −1.11822 + 2.18036i −0.100420 + 0.195802i
\(125\) 0.492860 + 11.1695i 0.0440828 + 0.999028i
\(126\) −6.97894 11.4225i −0.621733 1.01760i
\(127\) −1.79895 + 5.53658i −0.159631 + 0.491292i −0.998601 0.0528853i \(-0.983158\pi\)
0.838970 + 0.544178i \(0.183158\pi\)
\(128\) −0.783204 11.2866i −0.0692261 0.997601i
\(129\) 10.4895 + 7.62110i 0.923553 + 0.671001i
\(130\) −9.40735 2.12583i −0.825079 0.186448i
\(131\) −0.146220 0.0231590i −0.0127753 0.00202341i 0.150044 0.988679i \(-0.452059\pi\)
−0.162819 + 0.986656i \(0.552059\pi\)
\(132\) −17.4903 + 34.1033i −1.52234 + 2.96831i
\(133\) 0.865306 5.46332i 0.0750315 0.473730i
\(134\) −16.8846 + 1.30638i −1.45861 + 0.112854i
\(135\) −32.0461 + 16.9261i −2.75809 + 1.45677i
\(136\) 0.858103 3.51279i 0.0735817 0.301220i
\(137\) −12.2138 + 3.96849i −1.04349 + 0.339051i −0.780112 0.625640i \(-0.784838\pi\)
−0.263381 + 0.964692i \(0.584838\pi\)
\(138\) −0.315858 4.08238i −0.0268876 0.347516i
\(139\) 0.120281 + 0.236065i 0.0102021 + 0.0200228i 0.896051 0.443950i \(-0.146423\pi\)
−0.885849 + 0.463973i \(0.846423\pi\)
\(140\) 4.74000 2.48757i 0.400603 0.210238i
\(141\) 8.33765 16.3636i 0.702156 1.37806i
\(142\) −2.67072 + 6.42365i −0.224122 + 0.539061i
\(143\) 17.6967 1.47987
\(144\) −9.93319 + 30.0297i −0.827766 + 2.50248i
\(145\) −13.9177 + 2.41456i −1.15580 + 0.200519i
\(146\) 5.47348 + 0.438057i 0.452989 + 0.0362539i
\(147\) 2.87629 + 18.1602i 0.237233 + 1.49783i
\(148\) 3.81467 + 0.0100907i 0.313564 + 0.000829449i
\(149\) 3.55193 3.55193i 0.290986 0.290986i −0.546484 0.837470i \(-0.684034\pi\)
0.837470 + 0.546484i \(0.184034\pi\)
\(150\) −9.53904 21.3162i −0.778860 1.74046i
\(151\) 1.63004i 0.132651i −0.997798 0.0663254i \(-0.978872\pi\)
0.997798 0.0663254i \(-0.0211275\pi\)
\(152\) −11.1714 + 6.78504i −0.906124 + 0.550340i
\(153\) −5.94224 + 8.17879i −0.480402 + 0.661216i
\(154\) −7.47741 + 6.36923i −0.602547 + 0.513247i
\(155\) 1.64271 + 2.19249i 0.131946 + 0.176105i
\(156\) 19.9056 3.09878i 1.59372 0.248101i
\(157\) −8.50024 8.50024i −0.678393 0.678393i 0.281243 0.959637i \(-0.409253\pi\)
−0.959637 + 0.281243i \(0.909253\pi\)
\(158\) 9.07320 + 3.77231i 0.721825 + 0.300109i
\(159\) −11.9446 36.7617i −0.947268 2.91539i
\(160\) −11.7250 4.74595i −0.926944 0.375201i
\(161\) 0.324269 0.997996i 0.0255559 0.0786531i
\(162\) 27.4178 32.0162i 2.15414 2.51543i
\(163\) −1.32728 + 2.60493i −0.103960 + 0.204034i −0.937127 0.348988i \(-0.886525\pi\)
0.833167 + 0.553022i \(0.186525\pi\)
\(164\) 7.06440 7.02712i 0.551637 0.548726i
\(165\) 25.6939 + 34.2930i 2.00026 + 2.66971i
\(166\) −7.99586 + 0.618648i −0.620599 + 0.0480164i
\(167\) −5.68262 7.82145i −0.439734 0.605242i 0.530419 0.847736i \(-0.322035\pi\)
−0.970153 + 0.242493i \(0.922035\pi\)
\(168\) −7.29543 + 8.47354i −0.562855 + 0.653748i
\(169\) 2.17379 + 2.99196i 0.167214 + 0.230151i
\(170\) −3.10909 2.58430i −0.238457 0.198207i
\(171\) 36.0915 5.71634i 2.75999 0.437139i
\(172\) 2.44607 7.46102i 0.186511 0.568898i
\(173\) −8.39706 + 4.27851i −0.638416 + 0.325289i −0.743064 0.669220i \(-0.766628\pi\)
0.104648 + 0.994509i \(0.466628\pi\)
\(174\) 25.1778 15.3832i 1.90872 1.16620i
\(175\) −0.175920 5.98235i −0.0132983 0.452224i
\(176\) 22.9045 + 3.75204i 1.72649 + 0.282820i
\(177\) 0.713558 2.19611i 0.0536343 0.165069i
\(178\) 4.95476 + 0.396542i 0.371375 + 0.0297221i
\(179\) −0.625820 3.95127i −0.0467760 0.295332i 0.953199 0.302342i \(-0.0977686\pi\)
−0.999975 + 0.00701018i \(0.997769\pi\)
\(180\) 25.3052 + 24.7024i 1.88614 + 1.84121i
\(181\) −2.33144 + 14.7201i −0.173294 + 1.09414i 0.735694 + 0.677314i \(0.236856\pi\)
−0.908988 + 0.416822i \(0.863144\pi\)
\(182\) 5.01857 + 1.21187i 0.372001 + 0.0898301i
\(183\) 20.9890 + 28.8889i 1.55155 + 2.13553i
\(184\) −2.29458 + 0.939796i −0.169159 + 0.0692827i
\(185\) 1.88018 3.82814i 0.138233 0.281451i
\(186\) −4.87523 2.99642i −0.357469 0.219708i
\(187\) 6.60975 + 3.36784i 0.483353 + 0.246281i
\(188\) −10.9800 1.76884i −0.800796 0.129006i
\(189\) 17.2859 8.80760i 1.25736 0.640658i
\(190\) 1.34131 + 14.5516i 0.0973085 + 1.05568i
\(191\) 1.80834 + 5.56550i 0.130847 + 0.402706i 0.994921 0.100659i \(-0.0320952\pi\)
−0.864074 + 0.503365i \(0.832095\pi\)
\(192\) 26.4203 + 0.209668i 1.90672 + 0.0151315i
\(193\) 13.9132 1.00149 0.500747 0.865593i \(-0.333059\pi\)
0.500747 + 0.865593i \(0.333059\pi\)
\(194\) 19.5800 + 8.14066i 1.40576 + 0.584465i
\(195\) 6.64443 21.5208i 0.475818 1.54114i
\(196\) 9.93419 5.02867i 0.709585 0.359191i
\(197\) −26.3737 + 4.17718i −1.87905 + 0.297612i −0.987779 0.155861i \(-0.950185\pi\)
−0.891270 + 0.453473i \(0.850185\pi\)
\(198\) −55.2812 33.9770i −3.92866 2.41464i
\(199\) 24.2558i 1.71945i 0.510761 + 0.859723i \(0.329364\pi\)
−0.510761 + 0.859723i \(0.670636\pi\)
\(200\) −10.5167 + 9.45505i −0.743646 + 0.668573i
\(201\) 39.5489i 2.78956i
\(202\) −0.274718 + 0.446971i −0.0193291 + 0.0314488i
\(203\) 7.46848 1.18289i 0.524185 0.0830227i
\(204\) 8.02448 + 2.63080i 0.561826 + 0.184193i
\(205\) −3.59792 10.5434i −0.251290 0.736381i
\(206\) 5.02875 12.0952i 0.350369 0.842713i
\(207\) 6.93220 0.481821
\(208\) −5.48087 10.8990i −0.380030 0.755708i
\(209\) −8.28592 25.5014i −0.573149 1.76397i
\(210\) 4.93807 + 11.4846i 0.340759 + 0.792512i
\(211\) 11.6744 5.94843i 0.803702 0.409507i −0.00334455 0.999994i \(-0.501065\pi\)
0.807047 + 0.590488i \(0.201065\pi\)
\(212\) −18.9735 + 13.7085i −1.30310 + 0.941504i
\(213\) −14.4755 7.37563i −0.991844 0.505370i
\(214\) −9.16078 + 14.9047i −0.626218 + 1.01887i
\(215\) −6.29793 6.11545i −0.429515 0.417070i
\(216\) −42.2828 17.7110i −2.87698 1.20508i
\(217\) −0.862012 1.18646i −0.0585172 0.0805420i
\(218\) −5.21387 + 21.5915i −0.353128 + 1.46236i
\(219\) −2.00599 + 12.6654i −0.135553 + 0.855845i
\(220\) 14.9985 21.1758i 1.01120 1.42767i
\(221\) −0.609969 3.85119i −0.0410310 0.259059i
\(222\) −0.710700 + 8.88012i −0.0476990 + 0.595995i
\(223\) −0.629104 + 1.93618i −0.0421279 + 0.129656i −0.969908 0.243470i \(-0.921714\pi\)
0.927780 + 0.373126i \(0.121714\pi\)
\(224\) 6.23849 + 2.63253i 0.416827 + 0.175894i
\(225\) 37.2269 13.3177i 2.48180 0.887848i
\(226\) −3.23566 5.29583i −0.215233 0.352273i
\(227\) 10.9135 5.56068i 0.724351 0.369075i −0.0526174 0.998615i \(-0.516756\pi\)
0.776969 + 0.629539i \(0.216756\pi\)
\(228\) −13.7856 27.2335i −0.912970 1.80358i
\(229\) 21.7421 3.44361i 1.43676 0.227560i 0.611022 0.791614i \(-0.290759\pi\)
0.825738 + 0.564053i \(0.190759\pi\)
\(230\) −0.180522 + 2.76637i −0.0119032 + 0.182409i
\(231\) −13.4829 18.5576i −0.887106 1.22100i
\(232\) −13.5405 11.6579i −0.888979 0.765381i
\(233\) 6.90975 + 9.51046i 0.452673 + 0.623051i 0.972969 0.230935i \(-0.0741785\pi\)
−0.520296 + 0.853986i \(0.674178\pi\)
\(234\) 2.63098 + 34.0047i 0.171993 + 2.22296i
\(235\) −7.16002 + 10.1659i −0.467068 + 0.663147i
\(236\) −1.39834 0.00369894i −0.0910243 0.000240780i
\(237\) −10.4178 + 20.4462i −0.676711 + 1.32812i
\(238\) 1.64381 + 1.40771i 0.106553 + 0.0912485i
\(239\) −4.00810 + 12.3357i −0.259262 + 0.797927i 0.733698 + 0.679476i \(0.237793\pi\)
−0.992960 + 0.118451i \(0.962207\pi\)
\(240\) 13.1626 26.4451i 0.849639 1.70703i
\(241\) −6.06235 18.6580i −0.390511 1.20187i −0.932403 0.361420i \(-0.882292\pi\)
0.541893 0.840448i \(-0.317708\pi\)
\(242\) −12.3072 + 29.6014i −0.791136 + 1.90285i
\(243\) 35.2246 + 35.2246i 2.25966 + 2.25966i
\(244\) 12.7567 17.4607i 0.816662 1.11781i
\(245\) −0.182977 12.4473i −0.0116900 0.795231i
\(246\) 15.0891 + 17.7144i 0.962044 + 1.12943i
\(247\) −8.28415 + 11.4022i −0.527108 + 0.725502i
\(248\) −0.822339 + 3.36639i −0.0522186 + 0.213766i
\(249\) 18.7287i 1.18689i
\(250\) 4.34516 + 15.2026i 0.274812 + 0.961498i
\(251\) −18.7638 + 18.7638i −1.18436 + 1.18436i −0.205754 + 0.978604i \(0.565965\pi\)
−0.978604 + 0.205754i \(0.934035\pi\)
\(252\) −13.3503 13.4211i −0.840990 0.845451i
\(253\) −0.795749 5.02416i −0.0500283 0.315866i
\(254\) −0.656797 + 8.20662i −0.0412111 + 0.514929i
\(255\) 6.57729 6.77355i 0.411886 0.424176i
\(256\) −4.78299 15.2684i −0.298937 0.954273i
\(257\) 0.726273 0.0453037 0.0226518 0.999743i \(-0.492789\pi\)
0.0226518 + 0.999743i \(0.492789\pi\)
\(258\) 16.9313 + 7.03944i 1.05410 + 0.438256i
\(259\) −1.03649 + 2.03422i −0.0644043 + 0.126401i
\(260\) −13.6385 + 0.164403i −0.845822 + 0.0101959i
\(261\) 22.6781 + 44.5083i 1.40374 + 2.75500i
\(262\) −0.208740 + 0.0161504i −0.0128960 + 0.000997778i
\(263\) 6.92243 2.24923i 0.426855 0.138694i −0.0877076 0.996146i \(-0.527954\pi\)
0.514563 + 0.857453i \(0.327954\pi\)
\(264\) −12.8623 + 52.6541i −0.791621 + 3.24064i
\(265\) 4.47346 + 25.7853i 0.274802 + 1.58398i
\(266\) −0.603441 7.79931i −0.0369993 0.478206i
\(267\) −1.81589 + 11.4651i −0.111130 + 0.701650i
\(268\) −22.7971 + 7.34062i −1.39256 + 0.448400i
\(269\) 0.0369804 + 0.00585711i 0.00225473 + 0.000357115i 0.157562 0.987509i \(-0.449637\pi\)
−0.155307 + 0.987866i \(0.549637\pi\)
\(270\) −38.5245 + 33.8046i −2.34453 + 2.05728i
\(271\) 5.33895 + 3.87897i 0.324318 + 0.235631i 0.738016 0.674783i \(-0.235763\pi\)
−0.413698 + 0.910414i \(0.635763\pi\)
\(272\) 0.0270548 5.11384i 0.00164044 0.310072i
\(273\) −3.72577 + 11.4668i −0.225494 + 0.693999i
\(274\) −15.4980 + 9.46901i −0.936269 + 0.572044i
\(275\) −13.9254 25.4518i −0.839734 1.53480i
\(276\) −1.77483 5.51192i −0.106832 0.331779i
\(277\) −9.03583 17.7338i −0.542910 1.06552i −0.985639 0.168866i \(-0.945989\pi\)
0.442729 0.896656i \(-0.354011\pi\)
\(278\) 0.242961 + 0.285234i 0.0145718 + 0.0171072i
\(279\) 5.69458 7.83792i 0.340926 0.469244i
\(280\) 5.70350 4.97808i 0.340849 0.297497i
\(281\) 7.74582 + 10.6612i 0.462077 + 0.635994i 0.974938 0.222477i \(-0.0714143\pi\)
−0.512861 + 0.858472i \(0.671414\pi\)
\(282\) 6.09653 25.2467i 0.363043 1.50342i
\(283\) 3.80665 24.0342i 0.226282 1.42869i −0.568945 0.822376i \(-0.692648\pi\)
0.795227 0.606312i \(-0.207352\pi\)
\(284\) −1.56475 + 9.71306i −0.0928507 + 0.576364i
\(285\) −34.1230 + 0.501611i −2.02127 + 0.0297129i
\(286\) 24.3432 5.81023i 1.43944 0.343566i
\(287\) 1.84284 + 5.67167i 0.108779 + 0.334788i
\(288\) −3.80441 + 44.5694i −0.224177 + 2.62628i
\(289\) −4.74820 + 14.6135i −0.279306 + 0.859615i
\(290\) −18.3521 + 7.89091i −1.07767 + 0.463370i
\(291\) −22.4817 + 44.1229i −1.31790 + 2.58653i
\(292\) 7.67301 1.19449i 0.449029 0.0699021i
\(293\) 14.3933 14.3933i 0.840864 0.840864i −0.148107 0.988971i \(-0.547318\pi\)
0.988971 + 0.148107i \(0.0473182\pi\)
\(294\) 9.91895 + 24.0363i 0.578485 + 1.40183i
\(295\) −0.689216 + 1.40328i −0.0401277 + 0.0817021i
\(296\) 5.25067 1.23856i 0.305189 0.0719899i
\(297\) 55.2778 76.0833i 3.20754 4.41480i
\(298\) 3.71977 6.05213i 0.215480 0.350590i
\(299\) −1.89060 + 1.89060i −0.109336 + 0.109336i
\(300\) −20.1203 26.1901i −1.16164 1.51209i
\(301\) 3.32286 + 3.32286i 0.191526 + 0.191526i
\(302\) −0.535179 2.24224i −0.0307961 0.129026i
\(303\) −0.991222 0.720165i −0.0569442 0.0413724i
\(304\) −13.1395 + 13.0012i −0.753600 + 0.745668i
\(305\) −11.2914 21.3779i −0.646545 1.22410i
\(306\) −5.48871 + 13.2015i −0.313769 + 0.754680i
\(307\) 15.3190 + 15.3190i 0.874304 + 0.874304i 0.992938 0.118634i \(-0.0378516\pi\)
−0.118634 + 0.992938i \(0.537852\pi\)
\(308\) −8.19457 + 11.2163i −0.466929 + 0.639111i
\(309\) 27.2561 + 13.8877i 1.55055 + 0.790043i
\(310\) 2.97951 + 2.47659i 0.169225 + 0.140661i
\(311\) −5.04718 1.63993i −0.286199 0.0929918i 0.162399 0.986725i \(-0.448077\pi\)
−0.448599 + 0.893733i \(0.648077\pi\)
\(312\) 26.3642 10.7980i 1.49258 0.611319i
\(313\) 1.22020 0.396466i 0.0689696 0.0224096i −0.274329 0.961636i \(-0.588456\pi\)
0.343299 + 0.939226i \(0.388456\pi\)
\(314\) −14.4835 8.90189i −0.817353 0.502363i
\(315\) −20.0306 + 6.83542i −1.12859 + 0.385132i
\(316\) 13.7194 + 2.21016i 0.771776 + 0.124331i
\(317\) −8.39210 1.32918i −0.471347 0.0746541i −0.0837578 0.996486i \(-0.526692\pi\)
−0.387590 + 0.921832i \(0.626692\pi\)
\(318\) −28.5004 46.6467i −1.59822 2.61582i
\(319\) 29.6545 21.5453i 1.66034 1.20630i
\(320\) −17.6868 2.67882i −0.988724 0.149751i
\(321\) −33.0534 24.0147i −1.84486 1.34037i
\(322\) 0.118391 1.47928i 0.00659767 0.0824372i
\(323\) −5.26407 + 2.68218i −0.292901 + 0.149240i
\(324\) 27.2035 53.0426i 1.51131 2.94681i
\(325\) −6.52070 + 13.7849i −0.361703 + 0.764649i
\(326\) −0.970511 + 4.01905i −0.0537517 + 0.222594i
\(327\) −49.3336 16.0294i −2.72815 0.886431i
\(328\) 7.41044 11.9857i 0.409173 0.661801i
\(329\) 3.91240 5.38495i 0.215697 0.296882i
\(330\) 46.6030 + 38.7367i 2.56541 + 2.13239i
\(331\) −3.17154 + 20.0243i −0.174323 + 1.10063i 0.733008 + 0.680220i \(0.238116\pi\)
−0.907332 + 0.420415i \(0.861884\pi\)
\(332\) −10.7958 + 3.47622i −0.592496 + 0.190782i
\(333\) −14.8966 2.35938i −0.816327 0.129293i
\(334\) −10.3848 8.89326i −0.568232 0.486617i
\(335\) −3.79961 + 26.5057i −0.207595 + 1.44816i
\(336\) −7.25335 + 14.0512i −0.395703 + 0.766558i
\(337\) 3.09285 + 9.51881i 0.168478 + 0.518523i 0.999276 0.0380520i \(-0.0121153\pi\)
−0.830797 + 0.556575i \(0.812115\pi\)
\(338\) 3.97253 + 3.40196i 0.216077 + 0.185042i
\(339\) 12.9135 6.57977i 0.701366 0.357364i
\(340\) −5.12527 2.53411i −0.277957 0.137431i
\(341\) −6.33427 3.22747i −0.343020 0.174777i
\(342\) 47.7698 19.7129i 2.58309 1.06595i
\(343\) 15.0428i 0.812236i
\(344\) 0.915131 11.0663i 0.0493406 0.596654i
\(345\) −6.40860 0.918676i −0.345027 0.0494599i
\(346\) −10.1460 + 8.64236i −0.545455 + 0.464616i
\(347\) 4.67571 0.740560i 0.251005 0.0397553i −0.0296637 0.999560i \(-0.509444\pi\)
0.280669 + 0.959805i \(0.409444\pi\)
\(348\) 29.5832 29.4271i 1.58583 1.57746i
\(349\) 4.54260 + 4.54260i 0.243160 + 0.243160i 0.818156 0.574996i \(-0.194997\pi\)
−0.574996 + 0.818156i \(0.694997\pi\)
\(350\) −2.20613 8.17141i −0.117923 0.436780i
\(351\) −49.4314 −2.63845
\(352\) 32.7387 2.35886i 1.74498 0.125728i
\(353\) −9.44709 6.86372i −0.502818 0.365319i 0.307274 0.951621i \(-0.400583\pi\)
−0.810092 + 0.586302i \(0.800583\pi\)
\(354\) 0.260521 3.25518i 0.0138465 0.173011i
\(355\) 8.99289 + 6.33387i 0.477293 + 0.336167i
\(356\) 6.94583 1.08129i 0.368128 0.0573080i
\(357\) −3.57380 + 3.57380i −0.189146 + 0.189146i
\(358\) −2.15816 5.22980i −0.114062 0.276404i
\(359\) 34.0584 11.0663i 1.79753 0.584054i 0.797715 0.603035i \(-0.206042\pi\)
0.999820 + 0.0189806i \(0.00604209\pi\)
\(360\) 42.9196 + 25.6717i 2.26206 + 1.35302i
\(361\) 2.23950 + 0.727657i 0.117868 + 0.0382977i
\(362\) 1.62588 + 21.0141i 0.0854543 + 1.10447i
\(363\) −66.7057 33.9883i −3.50114 1.78392i
\(364\) 7.30130 + 0.0193136i 0.382692 + 0.00101231i
\(365\) 2.56123 8.29562i 0.134061 0.434213i
\(366\) 38.3569 + 32.8477i 2.00495 + 1.71698i
\(367\) 28.9881 21.0611i 1.51316 1.09938i 0.548415 0.836206i \(-0.315231\pi\)
0.964749 0.263172i \(-0.0847688\pi\)
\(368\) −2.84781 + 2.04612i −0.148452 + 0.106661i
\(369\) −31.8721 + 23.1564i −1.65919 + 1.20547i
\(370\) 1.32946 5.88320i 0.0691153 0.305853i
\(371\) −2.19154 13.8368i −0.113779 0.718373i
\(372\) −7.69004 2.52115i −0.398710 0.130716i
\(373\) −0.641182 1.25839i −0.0331991 0.0651570i 0.873811 0.486265i \(-0.161641\pi\)
−0.907010 + 0.421108i \(0.861641\pi\)
\(374\) 10.1979 + 2.46258i 0.527323 + 0.127337i
\(375\) −36.1800 + 7.37839i −1.86833 + 0.381018i
\(376\) −15.6845 + 1.17180i −0.808867 + 0.0604308i
\(377\) −18.3236 5.95370i −0.943713 0.306631i
\(378\) 20.8863 17.7908i 1.07427 0.915062i
\(379\) 26.0909 4.13240i 1.34020 0.212267i 0.555177 0.831732i \(-0.312651\pi\)
0.785024 + 0.619465i \(0.212651\pi\)
\(380\) 6.62268 + 19.5764i 0.339736 + 1.00425i
\(381\) −18.9897 3.00767i −0.972871 0.154088i
\(382\) 4.31479 + 7.06204i 0.220764 + 0.361326i
\(383\) 7.67714 5.57777i 0.392284 0.285011i −0.374107 0.927386i \(-0.622051\pi\)
0.766391 + 0.642375i \(0.222051\pi\)
\(384\) 36.4120 8.38598i 1.85814 0.427945i
\(385\) 7.25334 + 13.7327i 0.369664 + 0.699881i
\(386\) 19.1387 4.56802i 0.974132 0.232506i
\(387\) −14.0936 + 27.6602i −0.716418 + 1.40605i
\(388\) 29.6065 + 4.76953i 1.50304 + 0.242136i
\(389\) −12.8546 25.2285i −0.651753 1.27914i −0.946235 0.323480i \(-0.895147\pi\)
0.294482 0.955657i \(-0.404853\pi\)
\(390\) 2.07415 31.7849i 0.105029 1.60949i
\(391\) −1.06594 + 0.346345i −0.0539069 + 0.0175154i
\(392\) 12.0142 10.1789i 0.606809 0.514113i
\(393\) 0.488933i 0.0246634i
\(394\) −34.9075 + 14.4051i −1.75862 + 0.725719i
\(395\) 8.94639 12.7022i 0.450142 0.639116i
\(396\) −87.1988 28.5878i −4.38190 1.43659i
\(397\) −1.07411 6.78168i −0.0539082 0.340363i −0.999871 0.0160865i \(-0.994879\pi\)
0.945962 0.324276i \(-0.105121\pi\)
\(398\) 7.96372 + 33.3656i 0.399185 + 1.67247i
\(399\) 18.2683 0.914561
\(400\) −11.3623 + 16.4590i −0.568113 + 0.822951i
\(401\) 14.1331 0.705771 0.352886 0.935667i \(-0.385201\pi\)
0.352886 + 0.935667i \(0.385201\pi\)
\(402\) −12.9848 54.4024i −0.647622 2.71335i
\(403\) 0.584547 + 3.69068i 0.0291184 + 0.183846i
\(404\) −0.231144 + 0.705038i −0.0114999 + 0.0350769i
\(405\) −39.9629 53.3376i −1.98577 2.65037i
\(406\) 9.88508 4.07922i 0.490588 0.202449i
\(407\) 11.0672i 0.548583i
\(408\) 11.9020 + 0.984242i 0.589238 + 0.0487273i
\(409\) −33.6470 + 10.9326i −1.66373 + 0.540580i −0.981650 0.190693i \(-0.938927\pi\)
−0.682085 + 0.731273i \(0.738927\pi\)
\(410\) −8.41084 13.3219i −0.415382 0.657922i
\(411\) −19.2554 37.7908i −0.949799 1.86408i
\(412\) 2.94629 18.2889i 0.145153 0.901029i
\(413\) 0.379946 0.745685i 0.0186959 0.0366928i
\(414\) 9.53575 2.27600i 0.468656 0.111859i
\(415\) −1.79934 + 12.5520i −0.0883262 + 0.616155i
\(416\) −11.1177 13.1929i −0.545091 0.646833i
\(417\) −0.707898 + 0.514318i −0.0346659 + 0.0251863i
\(418\) −19.7706 32.3587i −0.967011 1.58271i
\(419\) −0.572679 0.0907035i −0.0279772 0.00443116i 0.142430 0.989805i \(-0.454508\pi\)
−0.170407 + 0.985374i \(0.554508\pi\)
\(420\) 10.5633 + 14.1766i 0.515437 + 0.691748i
\(421\) 30.9477 4.90163i 1.50830 0.238891i 0.653131 0.757245i \(-0.273455\pi\)
0.855166 + 0.518354i \(0.173455\pi\)
\(422\) 14.1061 12.0155i 0.686672 0.584905i
\(423\) 41.8195 + 13.5880i 2.03333 + 0.660670i
\(424\) −21.5986 + 25.0865i −1.04892 + 1.21831i
\(425\) −5.05888 + 3.90774i −0.245392 + 0.189553i
\(426\) −22.3337 5.39309i −1.08207 0.261296i
\(427\) 5.87555 + 11.5314i 0.284338 + 0.558044i
\(428\) −7.70777 + 23.5103i −0.372569 + 1.13641i
\(429\) 9.14298 + 57.7265i 0.441427 + 2.78706i
\(430\) −10.6711 6.34450i −0.514606 0.305959i
\(431\) −5.88325 + 4.27443i −0.283386 + 0.205892i −0.720393 0.693566i \(-0.756039\pi\)
0.437007 + 0.899458i \(0.356039\pi\)
\(432\) −63.9780 10.4804i −3.07814 0.504237i
\(433\) 15.3196 11.1303i 0.736212 0.534889i −0.155311 0.987866i \(-0.549638\pi\)
0.891523 + 0.452976i \(0.149638\pi\)
\(434\) −1.57530 1.34904i −0.0756170 0.0647561i
\(435\) −15.0668 44.1519i −0.722399 2.11692i
\(436\) −0.0830933 + 31.4125i −0.00397945 + 1.50439i
\(437\) 3.60961 + 1.83919i 0.172671 + 0.0879804i
\(438\) 1.39893 + 18.0807i 0.0668433 + 0.863932i
\(439\) −23.2762 7.56289i −1.11091 0.360957i −0.304619 0.952474i \(-0.598529\pi\)
−0.806292 + 0.591517i \(0.798529\pi\)
\(440\) 13.6790 34.0532i 0.652122 1.62342i
\(441\) −41.8681 + 13.6038i −1.99372 + 0.647798i
\(442\) −2.10349 5.09734i −0.100053 0.242456i
\(443\) 2.45207 2.45207i 0.116501 0.116501i −0.646453 0.762954i \(-0.723748\pi\)
0.762954 + 0.646453i \(0.223748\pi\)
\(444\) 1.93792 + 12.4486i 0.0919698 + 0.590785i
\(445\) 2.31850 7.50944i 0.109908 0.355982i
\(446\) −0.229687 + 2.86991i −0.0108760 + 0.135894i
\(447\) 13.4215 + 9.75126i 0.634813 + 0.461219i
\(448\) 9.44582 + 1.57301i 0.446273 + 0.0743177i
\(449\) −10.3739 −0.489574 −0.244787 0.969577i \(-0.578718\pi\)
−0.244787 + 0.969577i \(0.578718\pi\)
\(450\) 46.8359 30.5420i 2.20787 1.43976i
\(451\) 20.4414 + 20.4414i 0.962547 + 0.962547i
\(452\) −6.18963 6.22246i −0.291136 0.292680i
\(453\) 5.31717 0.842157i 0.249822 0.0395680i
\(454\) 13.1866 11.2323i 0.618876 0.527156i
\(455\) 3.59868 7.32709i 0.168709 0.343499i
\(456\) −27.9044 32.9356i −1.30674 1.54235i
\(457\) 40.4034i 1.88999i 0.327081 + 0.944996i \(0.393935\pi\)
−0.327081 + 0.944996i \(0.606065\pi\)
\(458\) 28.7773 11.8754i 1.34467 0.554900i
\(459\) −18.4627 9.40721i −0.861765 0.439091i
\(460\) 0.659940 + 3.86461i 0.0307699 + 0.180189i
\(461\) 24.0418 12.2499i 1.11974 0.570536i 0.206699 0.978405i \(-0.433728\pi\)
0.913041 + 0.407869i \(0.133728\pi\)
\(462\) −24.6395 21.1006i −1.14633 0.981687i
\(463\) −12.0003 36.9330i −0.557699 1.71642i −0.688706 0.725041i \(-0.741821\pi\)
0.131007 0.991382i \(-0.458179\pi\)
\(464\) −22.4535 11.5907i −1.04238 0.538084i
\(465\) −6.30317 + 6.49124i −0.292302 + 0.301024i
\(466\) 12.6274 + 10.8137i 0.584952 + 0.500936i
\(467\) −28.7134 4.54775i −1.32870 0.210445i −0.548590 0.836092i \(-0.684835\pi\)
−0.780107 + 0.625647i \(0.784835\pi\)
\(468\) 14.7836 + 45.9122i 0.683373 + 2.12229i
\(469\) 2.24230 14.1573i 0.103540 0.653725i
\(470\) −6.51146 + 16.3347i −0.300351 + 0.753463i
\(471\) 23.3360 32.1193i 1.07527 1.47998i
\(472\) −1.92474 + 0.454019i −0.0885932 + 0.0208979i
\(473\) 21.6648 + 7.03931i 0.996147 + 0.323668i
\(474\) −7.61757 + 31.5456i −0.349887 + 1.44894i
\(475\) 22.9175 + 2.94215i 1.05153 + 0.134995i
\(476\) 2.72337 + 1.39671i 0.124826 + 0.0640183i
\(477\) 82.4605 42.0157i 3.77561 1.92377i
\(478\) −1.46336 + 18.2845i −0.0669326 + 0.836316i
\(479\) 12.3174 + 8.94911i 0.562796 + 0.408895i 0.832481 0.554053i \(-0.186920\pi\)
−0.269685 + 0.962949i \(0.586920\pi\)
\(480\) 9.42353 40.6988i 0.430123 1.85764i
\(481\) 4.70617 3.41923i 0.214583 0.155904i
\(482\) −14.4651 23.6751i −0.658866 1.07837i
\(483\) 3.42298 + 0.542147i 0.155751 + 0.0246685i
\(484\) −7.21065 + 44.7596i −0.327757 + 2.03453i
\(485\) 19.3064 27.4113i 0.876657 1.24469i
\(486\) 60.0190 + 36.8890i 2.72252 + 1.67332i
\(487\) −6.16610 + 2.00349i −0.279413 + 0.0907867i −0.445371 0.895346i \(-0.646928\pi\)
0.165958 + 0.986133i \(0.446928\pi\)
\(488\) 11.8150 28.2068i 0.534839 1.27686i
\(489\) −9.18297 2.98373i −0.415268 0.134929i
\(490\) −4.33844 17.0622i −0.195991 0.770790i
\(491\) −14.2280 7.24953i −0.642100 0.327166i 0.102445 0.994739i \(-0.467334\pi\)
−0.744545 + 0.667572i \(0.767334\pi\)
\(492\) 26.5722 + 19.4134i 1.19797 + 0.875225i
\(493\) −5.71085 5.71085i −0.257204 0.257204i
\(494\) −7.65188 + 18.4044i −0.344274 + 0.828052i
\(495\) −71.4728 + 73.6054i −3.21246 + 3.30832i
\(496\) −0.0259272 + 4.90071i −0.00116417 + 0.220048i
\(497\) −4.76362 3.46097i −0.213678 0.155246i
\(498\) −6.14907 25.7628i −0.275546 1.15446i
\(499\) −13.8044 13.8044i −0.617968 0.617968i 0.327042 0.945010i \(-0.393948\pi\)
−0.945010 + 0.327042i \(0.893948\pi\)
\(500\) 10.9684 + 19.4857i 0.490524 + 0.871428i
\(501\) 22.5776 22.5776i 1.00869 1.00869i
\(502\) −19.6504 + 31.9715i −0.877039 + 1.42696i
\(503\) −6.83488 + 9.40740i −0.304752 + 0.419455i −0.933736 0.357963i \(-0.883471\pi\)
0.628984 + 0.777419i \(0.283471\pi\)
\(504\) −22.7708 14.0785i −1.01429 0.627108i
\(505\) 0.595130 + 0.577886i 0.0264829 + 0.0257156i
\(506\) −2.74416 6.64984i −0.121993 0.295622i
\(507\) −8.63665 + 8.63665i −0.383567 + 0.383567i
\(508\) 1.79094 + 11.5045i 0.0794603 + 0.510427i
\(509\) 7.53494 14.7882i 0.333980 0.655473i −0.661551 0.749900i \(-0.730102\pi\)
0.995532 + 0.0944264i \(0.0301017\pi\)
\(510\) 6.82365 11.4770i 0.302156 0.508210i
\(511\) −1.43618 + 4.42009i −0.0635326 + 0.195533i
\(512\) −11.5923 19.4324i −0.512312 0.858799i
\(513\) 23.1446 + 71.2319i 1.02186 + 3.14496i
\(514\) 0.999043 0.238452i 0.0440659 0.0105177i
\(515\) −16.9329 11.9262i −0.746151 0.525529i
\(516\) 25.6015 + 4.12433i 1.12704 + 0.181564i
\(517\) 5.04752 31.8688i 0.221990 1.40159i
\(518\) −0.757886 + 3.13853i −0.0332996 + 0.137899i
\(519\) −18.2948 25.1806i −0.803051 1.10531i
\(520\) −18.7067 + 4.70396i −0.820345 + 0.206282i
\(521\) 3.01799 4.15391i 0.132220 0.181986i −0.737773 0.675049i \(-0.764123\pi\)
0.869994 + 0.493063i \(0.164123\pi\)
\(522\) 45.8086 + 53.7788i 2.00499 + 2.35383i
\(523\) 6.96240 + 13.6645i 0.304445 + 0.597506i 0.991650 0.128957i \(-0.0411629\pi\)
−0.687206 + 0.726463i \(0.741163\pi\)
\(524\) −0.281835 + 0.0907502i −0.0123120 + 0.00396444i
\(525\) 19.4235 3.66462i 0.847710 0.159937i
\(526\) 8.78385 5.36678i 0.382994 0.234003i
\(527\) −0.484039 + 1.48972i −0.0210851 + 0.0648932i
\(528\) −0.405531 + 76.6526i −0.0176485 + 3.33588i
\(529\) −17.9856 13.0673i −0.781984 0.568145i
\(530\) 14.6195 + 34.0009i 0.635029 + 1.47690i
\(531\) 5.46063 + 0.864879i 0.236971 + 0.0375325i
\(532\) −3.39077 10.5304i −0.147008 0.456551i
\(533\) 2.37700 15.0078i 0.102959 0.650059i
\(534\) 1.26635 + 16.3672i 0.0548003 + 0.708279i
\(535\) 19.8453 + 19.2703i 0.857986 + 0.833127i
\(536\) −28.9490 + 17.5824i −1.25041 + 0.759443i
\(537\) 12.5657 4.08284i 0.542249 0.176187i
\(538\) 0.0527923 0.00408459i 0.00227604 0.000176099i
\(539\) 14.6655 + 28.7826i 0.631687 + 1.23975i
\(540\) −41.8945 + 59.1492i −1.80285 + 2.54538i
\(541\) 5.99147 11.7589i 0.257594 0.505556i −0.725601 0.688115i \(-0.758438\pi\)
0.983195 + 0.182560i \(0.0584383\pi\)
\(542\) 8.61767 + 3.58292i 0.370161 + 0.153900i
\(543\) −49.2213 −2.11229
\(544\) −1.64177 7.04335i −0.0703905 0.301981i
\(545\) 31.5235 + 15.4826i 1.35032 + 0.663203i
\(546\) −1.36028 + 16.9966i −0.0582148 + 0.727388i
\(547\) −2.20859 13.9445i −0.0944327 0.596224i −0.988841 0.148973i \(-0.952403\pi\)
0.894409 0.447251i \(-0.147597\pi\)
\(548\) −18.2098 + 18.1137i −0.777882 + 0.773778i
\(549\) −60.4554 + 60.4554i −2.58017 + 2.58017i
\(550\) −27.5118 30.4388i −1.17311 1.29791i
\(551\) 29.1924i 1.24364i
\(552\) −4.25109 6.99934i −0.180938 0.297912i
\(553\) −4.88852 + 6.72846i −0.207881 + 0.286123i
\(554\) −18.2519 21.4275i −0.775448 0.910368i
\(555\) 13.4587 + 4.15532i 0.571291 + 0.176383i
\(556\) 0.427860 + 0.312591i 0.0181453 + 0.0132568i
\(557\) −20.0873 20.0873i −0.851126 0.851126i 0.139146 0.990272i \(-0.455564\pi\)
−0.990272 + 0.139146i \(0.955564\pi\)
\(558\) 5.25995 12.6513i 0.222672 0.535572i
\(559\) −3.70000 11.3874i −0.156493 0.481636i
\(560\) 6.21117 8.72031i 0.262470 0.368500i
\(561\) −7.57093 + 23.3009i −0.319645 + 0.983765i
\(562\) 14.1553 + 12.1222i 0.597104 + 0.511342i
\(563\) −5.16921 + 10.1452i −0.217856 + 0.427567i −0.973907 0.226945i \(-0.927126\pi\)
0.756051 + 0.654513i \(0.227126\pi\)
\(564\) 0.0971603 36.7304i 0.00409119 1.54663i
\(565\) −9.28681 + 3.16912i −0.390699 + 0.133326i
\(566\) −2.65465 34.3107i −0.111583 1.44219i
\(567\) 20.9705 + 28.8635i 0.880680 + 1.21215i
\(568\) 1.03659 + 13.8748i 0.0434944 + 0.582173i
\(569\) −11.0951 15.2712i −0.465133 0.640200i 0.510430 0.859919i \(-0.329486\pi\)
−0.975563 + 0.219719i \(0.929486\pi\)
\(570\) −46.7741 + 11.8934i −1.95915 + 0.498158i
\(571\) −16.1561 + 2.55888i −0.676113 + 0.107086i −0.485043 0.874490i \(-0.661196\pi\)
−0.191071 + 0.981576i \(0.561196\pi\)
\(572\) 31.5782 15.9848i 1.32035 0.668359i
\(573\) −17.2203 + 8.77419i −0.719389 + 0.366547i
\(574\) 4.39709 + 7.19675i 0.183531 + 0.300387i
\(575\) 4.20679 + 1.23140i 0.175435 + 0.0513528i
\(576\) 9.39988 + 62.5576i 0.391662 + 2.60657i
\(577\) −1.78640 + 5.49797i −0.0743688 + 0.228884i −0.981330 0.192330i \(-0.938396\pi\)
0.906962 + 0.421213i \(0.138396\pi\)
\(578\) −1.73357 + 21.6608i −0.0721071 + 0.900972i
\(579\) 7.18823 + 45.3847i 0.298733 + 1.88612i
\(580\) −22.6539 + 16.8799i −0.940653 + 0.700902i
\(581\) 1.06186 6.70434i 0.0440535 0.278143i
\(582\) −16.4388 + 68.0756i −0.681408 + 2.82182i
\(583\) −39.9169 54.9409i −1.65319 2.27542i
\(584\) 10.1626 4.16233i 0.420532 0.172238i
\(585\) 53.3812 + 7.65222i 2.20704 + 0.316380i
\(586\) 15.0734 24.5246i 0.622675 1.01310i
\(587\) −33.9085 17.2772i −1.39955 0.713108i −0.418749 0.908102i \(-0.637531\pi\)
−0.980804 + 0.194994i \(0.937531\pi\)
\(588\) 21.5359 + 29.8072i 0.888127 + 1.22923i
\(589\) 5.04467 2.57039i 0.207862 0.105911i
\(590\) −0.487340 + 2.15660i −0.0200635 + 0.0887859i
\(591\) −27.2518 83.8725i −1.12099 3.45006i
\(592\) 6.81604 3.42765i 0.280138 0.140875i
\(593\) 14.3249 0.588253 0.294127 0.955766i \(-0.404971\pi\)
0.294127 + 0.955766i \(0.404971\pi\)
\(594\) 51.0588 122.807i 2.09497 5.03884i
\(595\) 2.73852 2.05182i 0.112268 0.0841164i
\(596\) 3.12977 9.54644i 0.128200 0.391037i
\(597\) −79.1220 + 12.5317i −3.23825 + 0.512888i
\(598\) −1.97993 + 3.22139i −0.0809655 + 0.131732i
\(599\) 18.8048i 0.768345i 0.923261 + 0.384172i \(0.125513\pi\)
−0.923261 + 0.384172i \(0.874487\pi\)
\(600\) −36.2757 29.4206i −1.48095 1.20109i
\(601\) 1.41949i 0.0579023i −0.999581 0.0289511i \(-0.990783\pi\)
0.999581 0.0289511i \(-0.00921672\pi\)
\(602\) 5.66181 + 3.47987i 0.230758 + 0.141829i
\(603\) 93.5255 14.8130i 3.80865 0.603231i
\(604\) −1.47236 2.90866i −0.0599093 0.118352i
\(605\) 41.4409 + 29.1877i 1.68481 + 1.18665i
\(606\) −1.59995 0.665200i −0.0649933 0.0270219i
\(607\) 17.4023 0.706338 0.353169 0.935560i \(-0.385104\pi\)
0.353169 + 0.935560i \(0.385104\pi\)
\(608\) −13.8057 + 22.1981i −0.559896 + 0.900250i
\(609\) 7.71715 + 23.7509i 0.312715 + 0.962437i
\(610\) −22.5510 25.6997i −0.913065 1.04055i
\(611\) −15.1111 + 7.69951i −0.611331 + 0.311489i
\(612\) −3.21578 + 19.9617i −0.129990 + 0.806905i
\(613\) 26.9449 + 13.7291i 1.08830 + 0.554514i 0.903642 0.428289i \(-0.140884\pi\)
0.184654 + 0.982804i \(0.440884\pi\)
\(614\) 26.1021 + 16.0429i 1.05339 + 0.647438i
\(615\) 32.5335 17.1836i 1.31188 0.692909i
\(616\) −7.58966 + 18.1194i −0.305796 + 0.730051i
\(617\) −3.28490 4.52127i −0.132245 0.182019i 0.737759 0.675064i \(-0.235884\pi\)
−0.870004 + 0.493044i \(0.835884\pi\)
\(618\) 42.0525 + 10.1547i 1.69160 + 0.408484i
\(619\) 5.36136 33.8503i 0.215491 1.36056i −0.608319 0.793693i \(-0.708156\pi\)
0.823810 0.566866i \(-0.191844\pi\)
\(620\) 4.91166 + 2.42849i 0.197257 + 0.0975307i
\(621\) 2.22273 + 14.0337i 0.0891949 + 0.563155i
\(622\) −7.48119 0.598740i −0.299969 0.0240073i
\(623\) −1.30007 + 4.00120i −0.0520861 + 0.160305i
\(624\) 32.7206 23.5095i 1.30987 0.941132i
\(625\) 24.9568 1.46906i 0.998272 0.0587622i
\(626\) 1.54830 0.945986i 0.0618826 0.0378092i
\(627\) 78.9044 40.2038i 3.15114 1.60559i
\(628\) −22.8459 7.48994i −0.911650 0.298881i
\(629\) 2.40847 0.381464i 0.0960321 0.0152100i
\(630\) −25.3093 + 15.9791i −1.00835 + 0.636623i
\(631\) 14.6034 + 20.0999i 0.581353 + 0.800164i 0.993843 0.110798i \(-0.0353408\pi\)
−0.412490 + 0.910962i \(0.635341\pi\)
\(632\) 19.5977 1.46415i 0.779554 0.0582409i
\(633\) 25.4353 + 35.0086i 1.01096 + 1.39147i
\(634\) −11.9804 + 0.926932i −0.475801 + 0.0368132i
\(635\) 12.4380 + 3.84016i 0.493586 + 0.152392i
\(636\) −54.5195 54.8087i −2.16184 2.17331i
\(637\) 7.70845 15.1287i 0.305420 0.599420i
\(638\) 33.7182 39.3734i 1.33492 1.55881i
\(639\) 12.0202 36.9943i 0.475510 1.46347i
\(640\) −25.2091 + 2.12206i −0.996476 + 0.0838819i
\(641\) 8.94882 + 27.5416i 0.353457 + 1.08783i 0.956899 + 0.290422i \(0.0937957\pi\)
−0.603441 + 0.797407i \(0.706204\pi\)
\(642\) −53.3520 22.1818i −2.10563 0.875447i
\(643\) −28.5228 28.5228i −1.12483 1.12483i −0.991005 0.133824i \(-0.957274\pi\)
−0.133824 0.991005i \(-0.542726\pi\)
\(644\) −0.322826 2.07373i −0.0127211 0.0817165i
\(645\) 16.6947 23.7033i 0.657353 0.933316i
\(646\) −6.36050 + 5.41785i −0.250250 + 0.213162i
\(647\) 22.0083 30.2918i 0.865234 1.19089i −0.115062 0.993358i \(-0.536707\pi\)
0.980296 0.197534i \(-0.0632933\pi\)
\(648\) 20.0054 81.8955i 0.785886 3.21716i
\(649\) 4.05691i 0.159248i
\(650\) −4.44380 + 21.1031i −0.174300 + 0.827730i
\(651\) 3.42485 3.42485i 0.134231 0.134231i
\(652\) −0.0154670 + 5.84714i −0.000605736 + 0.228992i
\(653\) 0.163404 + 1.03170i 0.00639451 + 0.0403734i 0.990679 0.136215i \(-0.0434938\pi\)
−0.984285 + 0.176588i \(0.943494\pi\)
\(654\) −73.1248 5.85237i −2.85941 0.228846i
\(655\) −0.0469737 + 0.327684i −0.00183541 + 0.0128037i
\(656\) 6.25843 18.9203i 0.244350 0.738713i
\(657\) −30.7025 −1.19782
\(658\) 3.61379 8.69193i 0.140880 0.338847i
\(659\) −13.2259 + 25.9574i −0.515209 + 1.01115i 0.476074 + 0.879405i \(0.342059\pi\)
−0.991283 + 0.131750i \(0.957941\pi\)
\(660\) 76.8240 + 37.9844i 2.99037 + 1.47854i
\(661\) 8.86927 + 17.4069i 0.344975 + 0.677051i 0.996680 0.0814217i \(-0.0259460\pi\)
−0.651705 + 0.758472i \(0.725946\pi\)
\(662\) 2.21174 + 28.5862i 0.0859619 + 1.11103i
\(663\) 12.2474 3.97942i 0.475650 0.154548i
\(664\) −13.7091 + 8.32629i −0.532015 + 0.323123i
\(665\) −12.2435 1.75511i −0.474782 0.0680603i
\(666\) −21.2660 + 1.64537i −0.824040 + 0.0637568i
\(667\) −0.866338 + 5.46985i −0.0335448 + 0.211793i
\(668\) −17.2050 8.82377i −0.665680 0.341402i
\(669\) −6.64083 1.05180i −0.256749 0.0406651i
\(670\) 3.47578 + 37.7081i 0.134281 + 1.45679i
\(671\) 50.7552 + 36.8758i 1.95938 + 1.42357i
\(672\) −5.36419 + 21.7100i −0.206928 + 0.837480i
\(673\) −8.13946 + 25.0507i −0.313753 + 0.965633i 0.662512 + 0.749052i \(0.269491\pi\)
−0.976265 + 0.216581i \(0.930509\pi\)
\(674\) 7.37969 + 12.0784i 0.284255 + 0.465242i
\(675\) 38.8972 + 71.0931i 1.49715 + 2.73638i
\(676\) 6.58145 + 3.37538i 0.253133 + 0.129822i
\(677\) −4.66575 9.15705i −0.179319 0.351934i 0.783798 0.621016i \(-0.213280\pi\)
−0.963117 + 0.269082i \(0.913280\pi\)
\(678\) 15.6032 13.2908i 0.599238 0.510429i
\(679\) −10.5494 + 14.5201i −0.404850 + 0.557229i
\(680\) −7.88220 1.80311i −0.302269 0.0691463i
\(681\) 23.7773 + 32.7266i 0.911147 + 1.25409i
\(682\) −9.77292 2.35994i −0.374224 0.0903669i
\(683\) −3.32824 + 21.0137i −0.127352 + 0.804066i 0.838487 + 0.544922i \(0.183441\pi\)
−0.965839 + 0.259144i \(0.916559\pi\)
\(684\) 59.2387 42.8005i 2.26505 1.63652i
\(685\) 9.27429 + 27.1774i 0.354353 + 1.03840i
\(686\) 4.93889 + 20.6925i 0.188568 + 0.790043i
\(687\) 22.4660 + 69.1434i 0.857133 + 2.63798i
\(688\) −2.37448 15.5230i −0.0905262 0.591807i
\(689\) −11.0304 + 33.9481i −0.420225 + 1.29332i
\(690\) −9.11712 + 0.840379i −0.347083 + 0.0319927i
\(691\) 7.26464 14.2577i 0.276360 0.542387i −0.710552 0.703644i \(-0.751555\pi\)
0.986912 + 0.161257i \(0.0515549\pi\)
\(692\) −11.1192 + 15.2194i −0.422687 + 0.578554i
\(693\) 38.8351 38.8351i 1.47522 1.47522i
\(694\) 6.18865 2.55384i 0.234918 0.0969423i
\(695\) 0.523847 0.276686i 0.0198707 0.0104953i
\(696\) 31.0323 50.1920i 1.17628 1.90252i
\(697\) 3.74392 5.15306i 0.141811 0.195186i
\(698\) 7.74012 + 4.75724i 0.292968 + 0.180064i
\(699\) −27.4531 + 27.4531i −1.03837 + 1.03837i
\(700\) −5.71756 10.5161i −0.216103 0.397470i
\(701\) −5.07439 5.07439i −0.191657 0.191657i 0.604755 0.796412i \(-0.293271\pi\)
−0.796412 + 0.604755i \(0.793271\pi\)
\(702\) −67.9965 + 16.2294i −2.56636 + 0.612541i
\(703\) −7.13071 5.18077i −0.268940 0.195396i
\(704\) 44.2601 13.9936i 1.66811 0.527405i
\(705\) −36.8601 18.1037i −1.38823 0.681825i
\(706\) −15.2487 6.33986i −0.573892 0.238604i
\(707\) −0.313997 0.313997i −0.0118091 0.0118091i
\(708\) −0.710384 4.56328i −0.0266979 0.171499i
\(709\) 11.6983 + 5.96058i 0.439339 + 0.223854i 0.659646 0.751576i \(-0.270706\pi\)
−0.220308 + 0.975430i \(0.570706\pi\)
\(710\) 14.4499 + 5.76015i 0.542297 + 0.216174i
\(711\) −52.2532 16.9781i −1.95965 0.636728i
\(712\) 9.19949 3.76786i 0.344766 0.141207i
\(713\) 1.02151 0.331910i 0.0382560 0.0124301i
\(714\) −3.74267 + 6.08939i −0.140066 + 0.227890i
\(715\) −0.581635 39.5668i −0.0217519 1.47971i
\(716\) −4.68576 6.48541i −0.175115 0.242371i
\(717\) −42.3095 6.70117i −1.58008 0.250260i
\(718\) 43.2166 26.4046i 1.61283 0.985411i
\(719\) −25.3533 + 18.4202i −0.945518 + 0.686959i −0.949742 0.313032i \(-0.898655\pi\)
0.00422489 + 0.999991i \(0.498655\pi\)
\(720\) 67.4677 + 21.2219i 2.51437 + 0.790894i
\(721\) 8.96951 + 6.51673i 0.334042 + 0.242696i
\(722\) 3.31950 + 0.265668i 0.123539 + 0.00988716i
\(723\) 57.7301 29.4149i 2.14700 1.09395i
\(724\) 9.13591 + 28.3726i 0.339533 + 1.05446i
\(725\) 5.85598 + 31.0382i 0.217486 + 1.15273i
\(726\) −102.918 24.8524i −3.81964 0.922359i
\(727\) 48.8907 + 15.8855i 1.81325 + 0.589162i 0.999973 + 0.00729020i \(0.00232056\pi\)
0.813281 + 0.581872i \(0.197679\pi\)
\(728\) 10.0498 2.37061i 0.372471 0.0878608i
\(729\) −44.1451 + 60.7605i −1.63500 + 2.25039i
\(730\) 0.799524 12.2522i 0.0295917 0.453473i
\(731\) 0.785168 4.95736i 0.0290405 0.183355i
\(732\) 63.5474 + 32.5910i 2.34878 + 1.20460i
\(733\) −26.3244 4.16937i −0.972314 0.153999i −0.349985 0.936755i \(-0.613813\pi\)
−0.622329 + 0.782756i \(0.713813\pi\)
\(734\) 32.9604 38.4885i 1.21659 1.42064i
\(735\) 40.5085 7.02776i 1.49418 0.259223i
\(736\) −3.24558 + 3.74959i −0.119634 + 0.138212i
\(737\) −21.4716 66.0829i −0.790918 2.43420i
\(738\) −36.2396 + 42.3177i −1.33400 + 1.55774i
\(739\) 37.0997 18.9032i 1.36473 0.695366i 0.390436 0.920630i \(-0.372324\pi\)
0.974298 + 0.225264i \(0.0723244\pi\)
\(740\) −0.102815 8.52927i −0.00377955 0.313542i
\(741\) −41.4737 21.1319i −1.52357 0.776299i
\(742\) −7.55757 18.3141i −0.277447 0.672330i
\(743\) 16.4362i 0.602986i −0.953468 0.301493i \(-0.902515\pi\)
0.953468 0.301493i \(-0.0974849\pi\)
\(744\) −11.4060 0.943221i −0.418163 0.0345802i
\(745\) −8.05825 7.82477i −0.295231 0.286677i
\(746\) −1.29515 1.52049i −0.0474189 0.0556693i
\(747\) 44.2899 7.01482i 1.62048 0.256659i
\(748\) 14.8365 + 0.0392461i 0.542478 + 0.00143498i
\(749\) −10.4706 10.4706i −0.382587 0.382587i
\(750\) −47.3458 + 22.0282i −1.72882 + 0.804358i
\(751\) −9.28309 −0.338745 −0.169372 0.985552i \(-0.554174\pi\)
−0.169372 + 0.985552i \(0.554174\pi\)
\(752\) −21.1905 + 6.76147i −0.772737 + 0.246565i
\(753\) −70.9014 51.5129i −2.58379 1.87723i
\(754\) −27.1602 2.17370i −0.989116 0.0791616i
\(755\) −3.64449 + 0.0535742i −0.132636 + 0.00194977i
\(756\) 22.8895 31.3301i 0.832483 1.13946i
\(757\) 0.907933 0.907933i 0.0329994 0.0329994i −0.690415 0.723414i \(-0.742572\pi\)
0.723414 + 0.690415i \(0.242572\pi\)
\(758\) 34.5332 14.2507i 1.25430 0.517607i
\(759\) 15.9776 5.19144i 0.579951 0.188438i
\(760\) 15.5374 + 24.7544i 0.563599 + 0.897937i
\(761\) 16.8517 + 5.47546i 0.610875 + 0.198485i 0.598085 0.801433i \(-0.295929\pi\)
0.0127904 + 0.999918i \(0.495929\pi\)
\(762\) −27.1092 + 2.09747i −0.982063 + 0.0759832i
\(763\) −16.7512 8.53514i −0.606433 0.308993i
\(764\) 8.25394 + 8.29772i 0.298617 + 0.300201i
\(765\) 18.4817 + 13.0170i 0.668206 + 0.470631i
\(766\) 8.72917 10.1932i 0.315398 0.368296i
\(767\) −1.72514 + 1.25339i −0.0622912 + 0.0452572i
\(768\) 47.3341 23.4904i 1.70802 0.847637i
\(769\) 5.35717 3.89221i 0.193184 0.140357i −0.486989 0.873408i \(-0.661905\pi\)
0.680173 + 0.733052i \(0.261905\pi\)
\(770\) 14.4862 + 16.5089i 0.522048 + 0.594938i
\(771\) 0.375228 + 2.36909i 0.0135135 + 0.0853208i
\(772\) 24.8269 12.5673i 0.893538 0.452307i
\(773\) −12.5131 24.5583i −0.450064 0.883301i