Properties

Label 230.2.j.a.9.10
Level $230$
Weight $2$
Character 230.9
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 9.10
Character \(\chi\) \(=\) 230.9
Dual form 230.2.j.a.179.10

$q$-expansion

\(f(q)\) \(=\) \(q+(0.281733 + 0.959493i) q^{2} +(0.0697998 - 0.0604819i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.48028 + 1.67594i) q^{5} +(0.0776969 + 0.0499327i) q^{6} +(-1.04108 - 0.475445i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(-0.425731 + 2.96102i) q^{9} +O(q^{10})\) \(q+(0.281733 + 0.959493i) q^{2} +(0.0697998 - 0.0604819i) q^{3} +(-0.841254 + 0.540641i) q^{4} +(1.48028 + 1.67594i) q^{5} +(0.0776969 + 0.0499327i) q^{6} +(-1.04108 - 0.475445i) q^{7} +(-0.755750 - 0.654861i) q^{8} +(-0.425731 + 2.96102i) q^{9} +(-1.19101 + 1.89248i) q^{10} +(3.69609 + 1.08527i) q^{11} +(-0.0260204 + 0.0886173i) q^{12} +(-1.25102 + 0.571322i) q^{13} +(0.162880 - 1.13286i) q^{14} +(0.204687 + 0.0274504i) q^{15} +(0.415415 - 0.909632i) q^{16} +(0.463067 - 0.720547i) q^{17} +(-2.96102 + 0.425731i) q^{18} +(-0.778520 + 0.500325i) q^{19} +(-2.15137 - 0.609593i) q^{20} +(-0.101423 + 0.0297805i) q^{21} +3.85213i q^{22} +(-0.229075 - 4.79036i) q^{23} -0.0923584 q^{24} +(-0.617556 + 4.96172i) q^{25} +(-0.900632 - 1.03939i) q^{26} +(0.299170 + 0.465518i) q^{27} +(1.13286 - 0.162880i) q^{28} +(0.00469088 + 0.00301465i) q^{29} +(0.0313286 + 0.204130i) q^{30} +(4.36818 - 5.04115i) q^{31} +(0.989821 + 0.142315i) q^{32} +(0.323626 - 0.147795i) q^{33} +(0.821820 + 0.241308i) q^{34} +(-0.744268 - 2.44858i) q^{35} +(-1.24270 - 2.72114i) q^{36} +(-1.06862 - 0.153645i) q^{37} +(-0.699392 - 0.606027i) q^{38} +(-0.0527664 + 0.115542i) q^{39} +(-0.0212112 - 2.23597i) q^{40} +(-0.702947 - 4.88910i) q^{41} +(-0.0571483 - 0.0889245i) q^{42} +(5.24726 - 4.54678i) q^{43} +(-3.69609 + 1.08527i) q^{44} +(-5.59270 + 3.66963i) q^{45} +(4.53178 - 1.56940i) q^{46} -7.27641i q^{47} +(-0.0260204 - 0.0886173i) q^{48} +(-3.72623 - 4.30030i) q^{49} +(-4.93472 + 0.805336i) q^{50} +(-0.0112580 - 0.0783012i) q^{51} +(0.743545 - 1.15698i) q^{52} +(-0.417802 - 0.190804i) q^{53} +(-0.362376 + 0.418204i) q^{54} +(3.65240 + 7.80094i) q^{55} +(0.475445 + 1.04108i) q^{56} +(-0.0240800 + 0.0820090i) q^{57} +(-0.00157096 + 0.00535019i) q^{58} +(0.895090 + 1.95997i) q^{59} +(-0.187035 + 0.0875695i) q^{60} +(6.33405 - 7.30988i) q^{61} +(6.06760 + 2.77098i) q^{62} +(1.85102 - 2.88025i) q^{63} +(0.142315 + 0.989821i) q^{64} +(-2.80936 - 1.25092i) q^{65} +(0.232984 + 0.268878i) q^{66} +(2.18008 + 7.42468i) q^{67} +0.856515i q^{68} +(-0.305719 - 0.320511i) q^{69} +(2.13971 - 1.40396i) q^{70} +(3.45459 - 1.01436i) q^{71} +(2.26080 - 1.95900i) q^{72} +(7.64561 + 11.8968i) q^{73} +(-0.153645 - 1.06862i) q^{74} +(0.256989 + 0.383678i) q^{75} +(0.384437 - 0.841800i) q^{76} +(-3.33194 - 2.88714i) q^{77} +(-0.125728 - 0.0180770i) q^{78} +(-0.879284 - 1.92536i) q^{79} +(2.13942 - 0.650297i) q^{80} +(-8.56185 - 2.51398i) q^{81} +(4.49301 - 2.05189i) q^{82} +(-10.1835 - 1.46416i) q^{83} +(0.0692219 - 0.0798863i) q^{84} +(1.89306 - 0.290536i) q^{85} +(5.84093 + 3.75374i) q^{86} +(0.000509755 - 7.32916e-5i) q^{87} +(-2.08262 - 3.24062i) q^{88} +(-4.67545 - 5.39575i) q^{89} +(-5.09663 - 4.33230i) q^{90} +1.57404 q^{91} +(2.78257 + 3.90606i) q^{92} -0.616067i q^{93} +(6.98167 - 2.05000i) q^{94} +(-1.99094 - 0.564135i) q^{95} +(0.0776969 - 0.0499327i) q^{96} +(-19.0564 + 2.73989i) q^{97} +(3.07630 - 4.78682i) q^{98} +(-4.78705 + 10.4822i) 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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).

\(n\) \(47\) \(51\)
\(\chi(n)\) \(-1\) \(e\left(\frac{5}{11}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.281733 + 0.959493i 0.199215 + 0.678464i
\(3\) 0.0697998 0.0604819i 0.0402990 0.0349192i −0.634478 0.772941i \(-0.718785\pi\)
0.674777 + 0.738021i \(0.264240\pi\)
\(4\) −0.841254 + 0.540641i −0.420627 + 0.270320i
\(5\) 1.48028 + 1.67594i 0.662000 + 0.749504i
\(6\) 0.0776969 + 0.0499327i 0.0317196 + 0.0203850i
\(7\) −1.04108 0.475445i −0.393491 0.179701i 0.208836 0.977951i \(-0.433032\pi\)
−0.602327 + 0.798249i \(0.705760\pi\)
\(8\) −0.755750 0.654861i −0.267198 0.231528i
\(9\) −0.425731 + 2.96102i −0.141910 + 0.987007i
\(10\) −1.19101 + 1.89248i −0.376631 + 0.598456i
\(11\) 3.69609 + 1.08527i 1.11441 + 0.327222i 0.786564 0.617508i \(-0.211858\pi\)
0.327850 + 0.944730i \(0.393676\pi\)
\(12\) −0.0260204 + 0.0886173i −0.00751144 + 0.0255816i
\(13\) −1.25102 + 0.571322i −0.346971 + 0.158456i −0.581275 0.813707i \(-0.697446\pi\)
0.234305 + 0.972163i \(0.424719\pi\)
\(14\) 0.162880 1.13286i 0.0435315 0.302769i
\(15\) 0.204687 + 0.0274504i 0.0528500 + 0.00708766i
\(16\) 0.415415 0.909632i 0.103854 0.227408i
\(17\) 0.463067 0.720547i 0.112310 0.174758i −0.780548 0.625096i \(-0.785060\pi\)
0.892858 + 0.450337i \(0.148696\pi\)
\(18\) −2.96102 + 0.425731i −0.697919 + 0.100346i
\(19\) −0.778520 + 0.500325i −0.178605 + 0.114782i −0.626888 0.779109i \(-0.715672\pi\)
0.448284 + 0.893891i \(0.352035\pi\)
\(20\) −2.15137 0.609593i −0.481061 0.136309i
\(21\) −0.101423 + 0.0297805i −0.0221323 + 0.00649863i
\(22\) 3.85213i 0.821277i
\(23\) −0.229075 4.79036i −0.0477655 0.998859i
\(24\) −0.0923584 −0.0188526
\(25\) −0.617556 + 4.96172i −0.123511 + 0.992343i
\(26\) −0.900632 1.03939i −0.176629 0.203840i
\(27\) 0.299170 + 0.465518i 0.0575754 + 0.0895890i
\(28\) 1.13286 0.162880i 0.214090 0.0307815i
\(29\) 0.00469088 + 0.00301465i 0.000871075 + 0.000559806i 0.541076 0.840974i \(-0.318017\pi\)
−0.540205 + 0.841533i \(0.681653\pi\)
\(30\) 0.0313286 + 0.204130i 0.00571979 + 0.0372688i
\(31\) 4.36818 5.04115i 0.784548 0.905416i −0.212881 0.977078i \(-0.568285\pi\)
0.997429 + 0.0716617i \(0.0228302\pi\)
\(32\) 0.989821 + 0.142315i 0.174977 + 0.0251579i
\(33\) 0.323626 0.147795i 0.0563361 0.0257278i
\(34\) 0.821820 + 0.241308i 0.140941 + 0.0413840i
\(35\) −0.744268 2.44858i −0.125804 0.413885i
\(36\) −1.24270 2.72114i −0.207117 0.453523i
\(37\) −1.06862 0.153645i −0.175680 0.0252590i 0.0539132 0.998546i \(-0.482831\pi\)
−0.229593 + 0.973287i \(0.573740\pi\)
\(38\) −0.699392 0.606027i −0.113456 0.0983105i
\(39\) −0.0527664 + 0.115542i −0.00844938 + 0.0185016i
\(40\) −0.0212112 2.23597i −0.00335379 0.353537i
\(41\) −0.702947 4.88910i −0.109782 0.763549i −0.968124 0.250472i \(-0.919414\pi\)
0.858342 0.513078i \(-0.171495\pi\)
\(42\) −0.0571483 0.0889245i −0.00881817 0.0137213i
\(43\) 5.24726 4.54678i 0.800200 0.693377i −0.155462 0.987842i \(-0.549687\pi\)
0.955662 + 0.294465i \(0.0951413\pi\)
\(44\) −3.69609 + 1.08527i −0.557207 + 0.163611i
\(45\) −5.59270 + 3.66963i −0.833710 + 0.547037i
\(46\) 4.53178 1.56940i 0.668174 0.231395i
\(47\) 7.27641i 1.06137i −0.847568 0.530687i \(-0.821934\pi\)
0.847568 0.530687i \(-0.178066\pi\)
\(48\) −0.0260204 0.0886173i −0.00375572 0.0127908i
\(49\) −3.72623 4.30030i −0.532318 0.614328i
\(50\) −4.93472 + 0.805336i −0.697874 + 0.113892i
\(51\) −0.0112580 0.0783012i −0.00157644 0.0109644i
\(52\) 0.743545 1.15698i 0.103111 0.160444i
\(53\) −0.417802 0.190804i −0.0573896 0.0262089i 0.386513 0.922284i \(-0.373679\pi\)
−0.443903 + 0.896075i \(0.646407\pi\)
\(54\) −0.362376 + 0.418204i −0.0493131 + 0.0569103i
\(55\) 3.65240 + 7.80094i 0.492489 + 1.05188i
\(56\) 0.475445 + 1.04108i 0.0635340 + 0.139120i
\(57\) −0.0240800 + 0.0820090i −0.00318947 + 0.0108624i
\(58\) −0.00157096 + 0.00535019i −0.000206277 + 0.000702515i
\(59\) 0.895090 + 1.95997i 0.116531 + 0.255167i 0.958906 0.283725i \(-0.0915704\pi\)
−0.842375 + 0.538892i \(0.818843\pi\)
\(60\) −0.187035 + 0.0875695i −0.0241461 + 0.0113052i
\(61\) 6.33405 7.30988i 0.810992 0.935934i −0.187939 0.982181i \(-0.560181\pi\)
0.998930 + 0.0462467i \(0.0147260\pi\)
\(62\) 6.06760 + 2.77098i 0.770586 + 0.351915i
\(63\) 1.85102 2.88025i 0.233207 0.362877i
\(64\) 0.142315 + 0.989821i 0.0177894 + 0.123728i
\(65\) −2.80936 1.25092i −0.348458 0.155158i
\(66\) 0.232984 + 0.268878i 0.0286784 + 0.0330966i
\(67\) 2.18008 + 7.42468i 0.266339 + 0.907069i 0.978707 + 0.205262i \(0.0658047\pi\)
−0.712368 + 0.701806i \(0.752377\pi\)
\(68\) 0.856515i 0.103868i
\(69\) −0.305719 0.320511i −0.0368043 0.0385850i
\(70\) 2.13971 1.40396i 0.255744 0.167806i
\(71\) 3.45459 1.01436i 0.409984 0.120382i −0.0702355 0.997530i \(-0.522375\pi\)
0.480220 + 0.877148i \(0.340557\pi\)
\(72\) 2.26080 1.95900i 0.266438 0.230870i
\(73\) 7.64561 + 11.8968i 0.894851 + 1.39242i 0.919657 + 0.392723i \(0.128467\pi\)
−0.0248059 + 0.999692i \(0.507897\pi\)
\(74\) −0.153645 1.06862i −0.0178608 0.124225i
\(75\) 0.256989 + 0.383678i 0.0296745 + 0.0443033i
\(76\) 0.384437 0.841800i 0.0440979 0.0965610i
\(77\) −3.33194 2.88714i −0.379710 0.329020i
\(78\) −0.125728 0.0180770i −0.0142359 0.00204681i
\(79\) −0.879284 1.92536i −0.0989272 0.216620i 0.853697 0.520770i \(-0.174355\pi\)
−0.952624 + 0.304150i \(0.901628\pi\)
\(80\) 2.13942 0.650297i 0.239194 0.0727054i
\(81\) −8.56185 2.51398i −0.951316 0.279332i
\(82\) 4.49301 2.05189i 0.496170 0.226593i
\(83\) −10.1835 1.46416i −1.11778 0.160713i −0.441433 0.897294i \(-0.645530\pi\)
−0.676349 + 0.736581i \(0.736439\pi\)
\(84\) 0.0692219 0.0798863i 0.00755273 0.00871631i
\(85\) 1.89306 0.290536i 0.205331 0.0315130i
\(86\) 5.84093 + 3.75374i 0.629843 + 0.404776i
\(87\) 0.000509755 0 7.32916e-5i 5.46514e−5 0 7.85769e-6i
\(88\) −2.08262 3.24062i −0.222008 0.345451i
\(89\) −4.67545 5.39575i −0.495597 0.571949i 0.451756 0.892142i \(-0.350798\pi\)
−0.947352 + 0.320193i \(0.896252\pi\)
\(90\) −5.09663 4.33230i −0.537232 0.456664i
\(91\) 1.57404 0.165005
\(92\) 2.78257 + 3.90606i 0.290103 + 0.407235i
\(93\) 0.616067i 0.0638832i
\(94\) 6.98167 2.05000i 0.720104 0.211442i
\(95\) −1.99094 0.564135i −0.204266 0.0578790i
\(96\) 0.0776969 0.0499327i 0.00792990 0.00509624i
\(97\) −19.0564 + 2.73989i −1.93488 + 0.278194i −0.997533 0.0702015i \(-0.977636\pi\)
−0.937348 + 0.348395i \(0.886727\pi\)
\(98\) 3.07630 4.78682i 0.310754 0.483542i
\(99\) −4.78705 + 10.4822i −0.481117 + 1.05350i
\(100\) −2.16298 4.50794i −0.216298 0.450794i
\(101\) −1.46183 + 10.1673i −0.145458 + 1.01168i 0.778077 + 0.628169i \(0.216195\pi\)
−0.923535 + 0.383514i \(0.874714\pi\)
\(102\) 0.0719577 0.0328620i 0.00712488 0.00325382i
\(103\) −4.19683 + 14.2931i −0.413526 + 1.40834i 0.444983 + 0.895539i \(0.353210\pi\)
−0.858508 + 0.512800i \(0.828608\pi\)
\(104\) 1.31959 + 0.387468i 0.129397 + 0.0379943i
\(105\) −0.200044 0.125896i −0.0195223 0.0122861i
\(106\) 0.0653665 0.454634i 0.00634896 0.0441580i
\(107\) −13.5230 11.7177i −1.30732 1.13280i −0.982347 0.187070i \(-0.940101\pi\)
−0.324969 0.945725i \(-0.605354\pi\)
\(108\) −0.503356 0.229875i −0.0484355 0.0221198i
\(109\) 11.5072 + 7.39525i 1.10219 + 0.708336i 0.959578 0.281442i \(-0.0908128\pi\)
0.142614 + 0.989778i \(0.454449\pi\)
\(110\) −6.45595 + 5.70223i −0.615550 + 0.543686i
\(111\) −0.0838823 + 0.0539079i −0.00796176 + 0.00511671i
\(112\) −0.864960 + 0.749492i −0.0817310 + 0.0708203i
\(113\) 4.35279 + 14.8243i 0.409476 + 1.39455i 0.863855 + 0.503740i \(0.168043\pi\)
−0.454379 + 0.890809i \(0.650139\pi\)
\(114\) −0.0854711 −0.00800511
\(115\) 7.68926 7.47498i 0.717027 0.697045i
\(116\) −0.00557606 −0.000517725
\(117\) −1.15910 3.94753i −0.107159 0.364949i
\(118\) −1.62840 + 1.41102i −0.149907 + 0.129895i
\(119\) −0.824670 + 0.529983i −0.0755973 + 0.0485835i
\(120\) −0.136716 0.154787i −0.0124804 0.0141301i
\(121\) 3.22951 + 2.07548i 0.293592 + 0.188680i
\(122\) 8.79828 + 4.01804i 0.796559 + 0.363776i
\(123\) −0.344768 0.298743i −0.0310867 0.0269367i
\(124\) −0.949296 + 6.60250i −0.0852493 + 0.592922i
\(125\) −9.22970 + 6.30973i −0.825529 + 0.564359i
\(126\) 3.28507 + 0.964583i 0.292657 + 0.0859319i
\(127\) 0.858846 2.92496i 0.0762103 0.259548i −0.912571 0.408918i \(-0.865906\pi\)
0.988781 + 0.149370i \(0.0477244\pi\)
\(128\) −0.909632 + 0.415415i −0.0804009 + 0.0367178i
\(129\) 0.0912602 0.634729i 0.00803502 0.0558848i
\(130\) 0.408762 3.04799i 0.0358508 0.267326i
\(131\) 2.74657 6.01415i 0.239969 0.525459i −0.750879 0.660440i \(-0.770370\pi\)
0.990848 + 0.134981i \(0.0430972\pi\)
\(132\) −0.192348 + 0.299299i −0.0167417 + 0.0260506i
\(133\) 1.04838 0.150734i 0.0909059 0.0130703i
\(134\) −6.50972 + 4.18355i −0.562355 + 0.361403i
\(135\) −0.337326 + 1.19049i −0.0290324 + 0.102461i
\(136\) −0.821820 + 0.241308i −0.0704705 + 0.0206920i
\(137\) 12.2743i 1.04866i 0.851515 + 0.524330i \(0.175684\pi\)
−0.851515 + 0.524330i \(0.824316\pi\)
\(138\) 0.221397 0.383634i 0.0188466 0.0326571i
\(139\) 16.1706 1.37157 0.685785 0.727804i \(-0.259459\pi\)
0.685785 + 0.727804i \(0.259459\pi\)
\(140\) 1.94992 + 1.65749i 0.164798 + 0.140084i
\(141\) −0.440091 0.507892i −0.0370624 0.0427723i
\(142\) 1.94654 + 3.02888i 0.163350 + 0.254178i
\(143\) −5.24393 + 0.753963i −0.438519 + 0.0630495i
\(144\) 2.51658 + 1.61731i 0.209715 + 0.134776i
\(145\) 0.00189144 + 0.0123242i 0.000157075 + 0.00102347i
\(146\) −9.26088 + 10.6876i −0.766436 + 0.884514i
\(147\) −0.520180 0.0747906i −0.0429037 0.00616863i
\(148\) 0.982048 0.448486i 0.0807239 0.0368654i
\(149\) −14.1219 4.14655i −1.15691 0.339699i −0.353678 0.935367i \(-0.615069\pi\)
−0.803230 + 0.595668i \(0.796887\pi\)
\(150\) −0.295734 + 0.354673i −0.0241466 + 0.0289590i
\(151\) 1.73764 + 3.80489i 0.141407 + 0.309638i 0.967064 0.254535i \(-0.0819224\pi\)
−0.825657 + 0.564173i \(0.809195\pi\)
\(152\) 0.916009 + 0.131702i 0.0742982 + 0.0106825i
\(153\) 1.93641 + 1.67791i 0.156550 + 0.135651i
\(154\) 1.83148 4.01037i 0.147585 0.323165i
\(155\) 14.9148 0.141487i 1.19798 0.0113645i
\(156\) −0.0180770 0.125728i −0.00144731 0.0100663i
\(157\) −1.41025 2.19439i −0.112550 0.175132i 0.780409 0.625270i \(-0.215011\pi\)
−0.892959 + 0.450138i \(0.851375\pi\)
\(158\) 1.59965 1.38610i 0.127261 0.110273i
\(159\) −0.0407027 + 0.0119514i −0.00322794 + 0.000947807i
\(160\) 1.22670 + 1.86955i 0.0969791 + 0.147801i
\(161\) −2.03906 + 5.09605i −0.160701 + 0.401625i
\(162\) 8.92330i 0.701081i
\(163\) 0.865221 + 2.94667i 0.0677693 + 0.230801i 0.986413 0.164287i \(-0.0525323\pi\)
−0.918643 + 0.395088i \(0.870714\pi\)
\(164\) 3.23460 + 3.73293i 0.252580 + 0.291493i
\(165\) 0.726752 + 0.323600i 0.0565776 + 0.0251923i
\(166\) −1.46416 10.1835i −0.113641 0.790391i
\(167\) 7.41220 11.5336i 0.573573 0.892497i −0.426354 0.904556i \(-0.640202\pi\)
0.999927 + 0.0120592i \(0.00383865\pi\)
\(168\) 0.0961524 + 0.0439113i 0.00741832 + 0.00338783i
\(169\) −7.27455 + 8.39527i −0.559581 + 0.645790i
\(170\) 0.812104 + 1.73453i 0.0622855 + 0.133032i
\(171\) −1.15003 2.51822i −0.0879451 0.192573i
\(172\) −1.95610 + 6.66188i −0.149152 + 0.507963i
\(173\) 4.49878 15.3214i 0.342036 1.16487i −0.591477 0.806322i \(-0.701455\pi\)
0.933513 0.358545i \(-0.116727\pi\)
\(174\) 0.000213937 0 0.000468457i 1.62185e−5 0 3.55137e-5i
\(175\) 3.00195 4.87192i 0.226926 0.368283i
\(176\) 2.52261 2.91125i 0.190149 0.219444i
\(177\) 0.181020 + 0.0826691i 0.0136063 + 0.00621379i
\(178\) 3.85996 6.00622i 0.289316 0.450185i
\(179\) −3.39154 23.5887i −0.253496 1.76310i −0.576876 0.816831i \(-0.695729\pi\)
0.323381 0.946269i \(-0.395181\pi\)
\(180\) 2.72092 6.11073i 0.202806 0.455467i
\(181\) −1.14197 1.31790i −0.0848820 0.0979591i 0.711720 0.702464i \(-0.247917\pi\)
−0.796602 + 0.604504i \(0.793371\pi\)
\(182\) 0.443459 + 1.51028i 0.0328714 + 0.111950i
\(183\) 0.893324i 0.0660364i
\(184\) −2.96389 + 3.77032i −0.218501 + 0.277952i
\(185\) −1.32436 2.01838i −0.0973687 0.148395i
\(186\) 0.591112 0.173566i 0.0433424 0.0127265i
\(187\) 2.49353 2.16065i 0.182345 0.158003i
\(188\) 3.93393 + 6.12131i 0.286911 + 0.446442i
\(189\) −0.0901318 0.626880i −0.00655612 0.0455988i
\(190\) −0.0196295 2.06923i −0.00142407 0.150118i
\(191\) −6.27677 + 13.7442i −0.454171 + 0.994496i 0.534607 + 0.845101i \(0.320460\pi\)
−0.988778 + 0.149395i \(0.952267\pi\)
\(192\) 0.0697998 + 0.0604819i 0.00503737 + 0.00436491i
\(193\) 23.5131 + 3.38067i 1.69251 + 0.243346i 0.920073 0.391747i \(-0.128129\pi\)
0.772435 + 0.635093i \(0.219038\pi\)
\(194\) −7.99770 17.5125i −0.574202 1.25733i
\(195\) −0.271751 + 0.0826013i −0.0194605 + 0.00591520i
\(196\) 5.45962 + 1.60309i 0.389973 + 0.114506i
\(197\) 8.75402 3.99783i 0.623698 0.284834i −0.0783906 0.996923i \(-0.524978\pi\)
0.702089 + 0.712089i \(0.252251\pi\)
\(198\) −11.4062 1.63997i −0.810607 0.116548i
\(199\) −3.28145 + 3.78700i −0.232616 + 0.268453i −0.860042 0.510223i \(-0.829563\pi\)
0.627426 + 0.778676i \(0.284108\pi\)
\(200\) 3.71595 3.34540i 0.262757 0.236556i
\(201\) 0.601228 + 0.386386i 0.0424073 + 0.0272535i
\(202\) −10.1673 + 1.46183i −0.715367 + 0.102854i
\(203\) −0.00345028 0.00536874i −0.000242162 0.000376812i
\(204\) 0.0518037 + 0.0597846i 0.00362698 + 0.00418576i
\(205\) 7.15329 8.41532i 0.499607 0.587752i
\(206\) −14.8965 −1.03789
\(207\) 14.2819 + 1.36110i 0.992659 + 0.0946033i
\(208\) 1.37530i 0.0953601i
\(209\) −3.42047 + 1.00434i −0.236599 + 0.0694717i
\(210\) 0.0644368 0.227410i 0.00444656 0.0156928i
\(211\) −18.3831 + 11.8141i −1.26555 + 0.813317i −0.989033 0.147693i \(-0.952815\pi\)
−0.276513 + 0.961010i \(0.589179\pi\)
\(212\) 0.454634 0.0653665i 0.0312244 0.00448939i
\(213\) 0.179779 0.279742i 0.0123183 0.0191676i
\(214\) 7.43321 16.2765i 0.508124 1.11264i
\(215\) 15.3875 + 2.06361i 1.04942 + 0.140737i
\(216\) 0.0787517 0.547730i 0.00535838 0.0372683i
\(217\) −6.94440 + 3.17140i −0.471417 + 0.215289i
\(218\) −3.85373 + 13.1246i −0.261007 + 0.888909i
\(219\) 1.25320 + 0.367974i 0.0846836 + 0.0248654i
\(220\) −7.29010 4.58793i −0.491498 0.309318i
\(221\) −0.167642 + 1.16598i −0.0112768 + 0.0784322i
\(222\) −0.0753566 0.0652969i −0.00505761 0.00438244i
\(223\) −18.5392 8.46657i −1.24148 0.566964i −0.317081 0.948398i \(-0.602703\pi\)
−0.924396 + 0.381435i \(0.875430\pi\)
\(224\) −0.962819 0.618766i −0.0643311 0.0413431i
\(225\) −14.4288 3.94095i −0.961922 0.262730i
\(226\) −12.9974 + 8.35295i −0.864577 + 0.555630i
\(227\) −2.24627 + 1.94640i −0.149090 + 0.129187i −0.726212 0.687471i \(-0.758721\pi\)
0.577122 + 0.816658i \(0.304176\pi\)
\(228\) −0.0240800 0.0820090i −0.00159474 0.00543118i
\(229\) 22.4667 1.48464 0.742320 0.670046i \(-0.233726\pi\)
0.742320 + 0.670046i \(0.233726\pi\)
\(230\) 9.33850 + 5.27185i 0.615763 + 0.347615i
\(231\) −0.407189 −0.0267910
\(232\) −0.00157096 0.00535019i −0.000103138 0.000351257i
\(233\) 10.5253 9.12026i 0.689538 0.597488i −0.237979 0.971270i \(-0.576485\pi\)
0.927516 + 0.373783i \(0.121939\pi\)
\(234\) 3.46107 2.22429i 0.226257 0.145407i
\(235\) 12.1948 10.7711i 0.795504 0.702630i
\(236\) −1.81264 1.16491i −0.117993 0.0758293i
\(237\) −0.177824 0.0812093i −0.0115509 0.00527511i
\(238\) −0.740851 0.641951i −0.0480222 0.0416115i
\(239\) 1.65603 11.5180i 0.107120 0.745036i −0.863488 0.504370i \(-0.831725\pi\)
0.970608 0.240666i \(-0.0773660\pi\)
\(240\) 0.110000 0.174787i 0.00710046 0.0112824i
\(241\) −17.8128 5.23031i −1.14742 0.336914i −0.347890 0.937535i \(-0.613102\pi\)
−0.799534 + 0.600621i \(0.794920\pi\)
\(242\) −1.08155 + 3.68342i −0.0695247 + 0.236779i
\(243\) −2.25974 + 1.03199i −0.144962 + 0.0662020i
\(244\) −1.37652 + 9.57391i −0.0881227 + 0.612907i
\(245\) 1.69119 12.6106i 0.108046 0.805660i
\(246\) 0.189509 0.414968i 0.0120827 0.0264574i
\(247\) 0.688098 1.07070i 0.0437826 0.0681271i
\(248\) −6.60250 + 0.949296i −0.419259 + 0.0602803i
\(249\) −0.799361 + 0.513718i −0.0506574 + 0.0325555i
\(250\) −8.65445 7.07817i −0.547355 0.447663i
\(251\) −6.14302 + 1.80375i −0.387744 + 0.113852i −0.469793 0.882776i \(-0.655672\pi\)
0.0820495 + 0.996628i \(0.473853\pi\)
\(252\) 3.42375i 0.215676i
\(253\) 4.35215 17.9542i 0.273617 1.12877i
\(254\) 3.04844 0.191276
\(255\) 0.114563 0.134775i 0.00717423 0.00843996i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) 6.44307 + 10.0256i 0.401908 + 0.625380i 0.981935 0.189216i \(-0.0605947\pi\)
−0.580028 + 0.814597i \(0.696958\pi\)
\(258\) 0.634729 0.0912602i 0.0395165 0.00568161i
\(259\) 1.03947 + 0.668027i 0.0645895 + 0.0415092i
\(260\) 3.03968 0.466512i 0.188513 0.0289319i
\(261\) −0.0109235 + 0.0126064i −0.000676147 + 0.000780315i
\(262\) 6.54433 + 0.940933i 0.404310 + 0.0581310i
\(263\) −8.46647 + 3.86651i −0.522065 + 0.238419i −0.658975 0.752164i \(-0.729010\pi\)
0.136911 + 0.990583i \(0.456283\pi\)
\(264\) −0.341365 0.100234i −0.0210096 0.00616897i
\(265\) −0.298687 0.982655i −0.0183482 0.0603640i
\(266\) 0.439990 + 0.963444i 0.0269775 + 0.0590726i
\(267\) −0.652691 0.0938428i −0.0399440 0.00574309i
\(268\) −5.84808 5.06739i −0.357229 0.309540i
\(269\) 12.2184 26.7546i 0.744970 1.63126i −0.0302316 0.999543i \(-0.509624\pi\)
0.775202 0.631714i \(-0.217648\pi\)
\(270\) −1.23730 + 0.0117375i −0.0752997 + 0.000714321i
\(271\) −2.18178 15.1746i −0.132534 0.921793i −0.942236 0.334951i \(-0.891280\pi\)
0.809702 0.586842i \(-0.199629\pi\)
\(272\) −0.463067 0.720547i −0.0280776 0.0436895i
\(273\) 0.109868 0.0952011i 0.00664951 0.00576183i
\(274\) −11.7771 + 3.45806i −0.711479 + 0.208909i
\(275\) −7.66735 + 17.6688i −0.462359 + 1.06547i
\(276\) 0.430469 + 0.104347i 0.0259112 + 0.00628094i
\(277\) 18.2644i 1.09740i −0.836018 0.548702i \(-0.815122\pi\)
0.836018 0.548702i \(-0.184878\pi\)
\(278\) 4.55578 + 15.5156i 0.273237 + 0.930561i
\(279\) 13.0673 + 15.0804i 0.782317 + 0.902842i
\(280\) −1.04100 + 2.33790i −0.0622114 + 0.139716i
\(281\) 3.16822 + 22.0354i 0.189000 + 1.31452i 0.834604 + 0.550851i \(0.185697\pi\)
−0.645604 + 0.763673i \(0.723394\pi\)
\(282\) 0.363331 0.565354i 0.0216361 0.0336664i
\(283\) −17.6388 8.05536i −1.04852 0.478842i −0.184778 0.982780i \(-0.559156\pi\)
−0.863739 + 0.503939i \(0.831884\pi\)
\(284\) −2.35778 + 2.72102i −0.139909 + 0.161463i
\(285\) −0.173087 + 0.0810394i −0.0102528 + 0.00480036i
\(286\) −2.20081 4.81910i −0.130136 0.284959i
\(287\) −1.59267 + 5.42415i −0.0940126 + 0.320178i
\(288\) −0.842794 + 2.87029i −0.0496621 + 0.169134i
\(289\) 6.75730 + 14.7964i 0.397488 + 0.870378i
\(290\) −0.0112921 + 0.00528694i −0.000663093 + 0.000310460i
\(291\) −1.16442 + 1.34381i −0.0682593 + 0.0787755i
\(292\) −12.8638 5.87470i −0.752796 0.343791i
\(293\) 6.21266 9.66709i 0.362948 0.564757i −0.610972 0.791652i \(-0.709221\pi\)
0.973919 + 0.226895i \(0.0728574\pi\)
\(294\) −0.0747906 0.520180i −0.00436188 0.0303375i
\(295\) −1.95982 + 4.40142i −0.114105 + 0.256261i
\(296\) 0.706995 + 0.815915i 0.0410932 + 0.0474241i
\(297\) 0.600549 + 2.04528i 0.0348474 + 0.118679i
\(298\) 14.7180i 0.852594i
\(299\) 3.02341 + 5.86196i 0.174849 + 0.339006i
\(300\) −0.423625 0.183832i −0.0244580 0.0106135i
\(301\) −7.62456 + 2.23877i −0.439472 + 0.129041i
\(302\) −3.16122 + 2.73921i −0.181908 + 0.157624i
\(303\) 0.512901 + 0.798089i 0.0294654 + 0.0458490i
\(304\) 0.131702 + 0.916009i 0.00755364 + 0.0525367i
\(305\) 21.6271 0.205162i 1.23836 0.0117476i
\(306\) −1.06439 + 2.33070i −0.0608473 + 0.133237i
\(307\) 5.79883 + 5.02472i 0.330957 + 0.286776i 0.804448 0.594023i \(-0.202461\pi\)
−0.473491 + 0.880798i \(0.657007\pi\)
\(308\) 4.36391 + 0.627436i 0.248657 + 0.0357515i
\(309\) 0.571535 + 1.25149i 0.0325135 + 0.0711946i
\(310\) 4.33773 + 14.2708i 0.246367 + 0.810525i
\(311\) 0.619013 + 0.181759i 0.0351010 + 0.0103066i 0.299236 0.954179i \(-0.403268\pi\)
−0.264135 + 0.964486i \(0.585086\pi\)
\(312\) 0.115542 0.0527664i 0.00654129 0.00298731i
\(313\) 3.65395 + 0.525358i 0.206533 + 0.0296950i 0.244805 0.969572i \(-0.421276\pi\)
−0.0382716 + 0.999267i \(0.512185\pi\)
\(314\) 1.70819 1.97136i 0.0963989 0.111250i
\(315\) 7.56715 1.16136i 0.426360 0.0654352i
\(316\) 1.78063 + 1.14434i 0.100168 + 0.0643743i
\(317\) −18.2009 + 2.61689i −1.02226 + 0.146979i −0.633004 0.774148i \(-0.718178\pi\)
−0.389260 + 0.921128i \(0.627269\pi\)
\(318\) −0.0229346 0.0356869i −0.00128611 0.00200122i
\(319\) 0.0140662 + 0.0162333i 0.000787558 + 0.000908890i
\(320\) −1.44822 + 1.70372i −0.0809578 + 0.0952409i
\(321\) −1.65261 −0.0922398
\(322\) −5.46410 0.520744i −0.304502 0.0290200i
\(323\) 0.792644i 0.0441039i
\(324\) 8.56185 2.51398i 0.475658 0.139666i
\(325\) −2.06216 6.56003i −0.114388 0.363885i
\(326\) −2.58355 + 1.66035i −0.143090 + 0.0919581i
\(327\) 1.25048 0.179792i 0.0691518 0.00994252i
\(328\) −2.67043 + 4.15527i −0.147450 + 0.229436i
\(329\) −3.45953 + 7.57532i −0.190730 + 0.417641i
\(330\) −0.105743 + 0.788482i −0.00582094 + 0.0434045i
\(331\) −4.58706 + 31.9037i −0.252128 + 1.75359i 0.333262 + 0.942834i \(0.391851\pi\)
−0.585390 + 0.810752i \(0.699058\pi\)
\(332\) 9.35847 4.27387i 0.513613 0.234559i
\(333\) 0.909890 3.09880i 0.0498617 0.169813i
\(334\) 13.1547 + 3.86256i 0.719792 + 0.211350i
\(335\) −9.21619 + 14.6443i −0.503534 + 0.800102i
\(336\) −0.0150434 + 0.104629i −0.000820682 + 0.00570797i
\(337\) 7.50022 + 6.49898i 0.408563 + 0.354022i 0.834765 0.550606i \(-0.185603\pi\)
−0.426202 + 0.904628i \(0.640149\pi\)
\(338\) −10.1047 4.61465i −0.549622 0.251004i
\(339\) 1.20042 + 0.771465i 0.0651981 + 0.0419002i
\(340\) −1.43547 + 1.26788i −0.0778492 + 0.0687605i
\(341\) 21.6162 13.8919i 1.17058 0.752288i
\(342\) 2.09221 1.81291i 0.113134 0.0980310i
\(343\) 4.09186 + 13.9356i 0.220939 + 0.752451i
\(344\) −6.94312 −0.374348
\(345\) 0.0846084 0.986813i 0.00455516 0.0531282i
\(346\) 15.9683 0.858459
\(347\) 0.511743 + 1.74284i 0.0274718 + 0.0935604i 0.972088 0.234617i \(-0.0753837\pi\)
−0.944616 + 0.328178i \(0.893566\pi\)
\(348\) −0.000389208 0 0.000337251i −2.08638e−5 0 1.80786e-5i
\(349\) −7.67643 + 4.93334i −0.410910 + 0.264076i −0.729724 0.683741i \(-0.760352\pi\)
0.318815 + 0.947817i \(0.396715\pi\)
\(350\) 5.52032 + 1.50777i 0.295074 + 0.0805936i
\(351\) −0.640229 0.411450i −0.0341729 0.0219616i
\(352\) 3.50402 + 1.60023i 0.186765 + 0.0852927i
\(353\) 11.6061 + 10.0567i 0.617730 + 0.535266i 0.906540 0.422121i \(-0.138714\pi\)
−0.288810 + 0.957386i \(0.593260\pi\)
\(354\) −0.0283212 + 0.196978i −0.00150525 + 0.0104693i
\(355\) 6.81376 + 4.28815i 0.361637 + 0.227592i
\(356\) 6.85040 + 2.01146i 0.363071 + 0.106607i
\(357\) −0.0255074 + 0.0868703i −0.00135000 + 0.00459766i
\(358\) 21.6777 9.89986i 1.14570 0.523224i
\(359\) −0.348942 + 2.42695i −0.0184165 + 0.128089i −0.996956 0.0779719i \(-0.975156\pi\)
0.978539 + 0.206061i \(0.0660646\pi\)
\(360\) 6.62978 + 0.889113i 0.349420 + 0.0468604i
\(361\) −7.53712 + 16.5040i −0.396690 + 0.868631i
\(362\) 0.942790 1.46701i 0.0495519 0.0771043i
\(363\) 0.350948 0.0504587i 0.0184200 0.00264840i
\(364\) −1.32417 + 0.850992i −0.0694053 + 0.0446041i
\(365\) −8.62071 + 30.4242i −0.451229 + 1.59247i
\(366\) 0.857138 0.251678i 0.0448033 0.0131554i
\(367\) 22.7391i 1.18697i 0.804845 + 0.593485i \(0.202248\pi\)
−0.804845 + 0.593485i \(0.797752\pi\)
\(368\) −4.45262 1.78161i −0.232109 0.0928729i
\(369\) 14.7760 0.769208
\(370\) 1.56351 1.83936i 0.0812830 0.0956236i
\(371\) 0.344248 + 0.397284i 0.0178725 + 0.0206259i
\(372\) 0.333071 + 0.518268i 0.0172689 + 0.0268710i
\(373\) −34.5081 + 4.96151i −1.78676 + 0.256897i −0.954654 0.297717i \(-0.903775\pi\)
−0.832107 + 0.554615i \(0.812866\pi\)
\(374\) 2.77564 + 1.78380i 0.143525 + 0.0922379i
\(375\) −0.262607 + 0.998648i −0.0135610 + 0.0515700i
\(376\) −4.76504 + 5.49915i −0.245738 + 0.283597i
\(377\) −0.00759072 0.00109138i −0.000390942 5.62090e-5i
\(378\) 0.576094 0.263093i 0.0296311 0.0135321i
\(379\) −30.1488 8.85248i −1.54864 0.454721i −0.607945 0.793979i \(-0.708006\pi\)
−0.940693 + 0.339258i \(0.889824\pi\)
\(380\) 1.97988 0.601803i 0.101566 0.0308719i
\(381\) −0.116960 0.256107i −0.00599204 0.0131207i
\(382\) −14.9558 2.15032i −0.765207 0.110020i
\(383\) −25.2467 21.8764i −1.29004 1.11783i −0.986280 0.165083i \(-0.947211\pi\)
−0.303765 0.952747i \(-0.598244\pi\)
\(384\) −0.0383671 + 0.0840122i −0.00195791 + 0.00428723i
\(385\) −0.0935158 9.85791i −0.00476600 0.502405i
\(386\) 3.38067 + 23.5131i 0.172072 + 1.19678i
\(387\) 11.2292 + 17.4730i 0.570812 + 0.888200i
\(388\) 14.5499 12.6076i 0.738661 0.640053i
\(389\) −7.19341 + 2.11218i −0.364720 + 0.107092i −0.458957 0.888458i \(-0.651777\pi\)
0.0942372 + 0.995550i \(0.469959\pi\)
\(390\) −0.155816 0.237472i −0.00789007 0.0120248i
\(391\) −3.55775 2.05320i −0.179923 0.103835i
\(392\) 5.69011i 0.287394i
\(393\) −0.172037 0.585905i −0.00867813 0.0295550i
\(394\) 6.30218 + 7.27311i 0.317499 + 0.366414i
\(395\) 1.92521 4.32370i 0.0968679 0.217549i
\(396\) −1.63997 11.4062i −0.0824116 0.573185i
\(397\) 14.2718 22.2073i 0.716279 1.11455i −0.272060 0.962280i \(-0.587705\pi\)
0.988339 0.152271i \(-0.0486588\pi\)
\(398\) −4.55809 2.08161i −0.228476 0.104342i
\(399\) 0.0640599 0.0739291i 0.00320701 0.00370108i
\(400\) 4.25679 + 2.62292i 0.212840 + 0.131146i
\(401\) 3.29610 + 7.21746i 0.164600 + 0.360423i 0.973902 0.226970i \(-0.0728818\pi\)
−0.809302 + 0.587392i \(0.800155\pi\)
\(402\) −0.201349 + 0.685731i −0.0100424 + 0.0342012i
\(403\) −2.58456 + 8.80221i −0.128746 + 0.438469i
\(404\) −4.26707 9.34359i −0.212295 0.464861i
\(405\) −8.46062 18.0705i −0.420412 0.897933i
\(406\) 0.00417921 0.00482307i 0.000207411 0.000239365i
\(407\) −3.78298 1.72763i −0.187515 0.0856354i
\(408\) −0.0427682 + 0.0665485i −0.00211734 + 0.00329464i
\(409\) −1.73550 12.0707i −0.0858150 0.596856i −0.986670 0.162736i \(-0.947968\pi\)
0.900855 0.434121i \(-0.142941\pi\)
\(410\) 10.0898 + 4.49266i 0.498298 + 0.221877i
\(411\) 0.742371 + 0.856741i 0.0366184 + 0.0422599i
\(412\) −4.19683 14.2931i −0.206763 0.704169i
\(413\) 2.46605i 0.121347i
\(414\) 2.71770 + 14.0868i 0.133568 + 0.692330i
\(415\) −12.6205 19.2343i −0.619517 0.944174i
\(416\) −1.31959 + 0.387468i −0.0646984 + 0.0189972i
\(417\) 1.12870 0.978028i 0.0552729 0.0478942i
\(418\) −1.92732 2.99896i −0.0942681 0.146684i
\(419\) −2.14712 14.9335i −0.104894 0.729550i −0.972602 0.232477i \(-0.925317\pi\)
0.867708 0.497074i \(-0.165592\pi\)
\(420\) 0.236352 0.00224213i 0.0115328 0.000109405i
\(421\) 8.54469 18.7103i 0.416443 0.911883i −0.578892 0.815404i \(-0.696515\pi\)
0.995335 0.0964786i \(-0.0307579\pi\)
\(422\) −16.5147 14.3101i −0.803923 0.696603i
\(423\) 21.5456 + 3.09779i 1.04758 + 0.150620i
\(424\) 0.190804 + 0.417802i 0.00926626 + 0.0202903i
\(425\) 3.28918 + 2.74259i 0.159549 + 0.133035i
\(426\) 0.319060 + 0.0936846i 0.0154585 + 0.00453903i
\(427\) −10.0697 + 4.59867i −0.487306 + 0.222545i
\(428\) 17.7113 + 2.54650i 0.856109 + 0.123090i
\(429\) −0.320424 + 0.369789i −0.0154702 + 0.0178536i
\(430\) 2.35515 + 15.3456i 0.113576 + 0.740032i
\(431\) −12.7650 8.20355i −0.614867 0.395151i 0.195812 0.980641i \(-0.437266\pi\)
−0.810679 + 0.585490i \(0.800902\pi\)
\(432\) 0.547730 0.0787517i 0.0263527 0.00378894i
\(433\) −1.83241 2.85128i −0.0880599 0.137024i 0.794429 0.607357i \(-0.207770\pi\)
−0.882489 + 0.470333i \(0.844134\pi\)
\(434\) −4.99940 5.76962i −0.239979 0.276951i
\(435\) 0.000877411 0 0.000745827i 4.20686e−5 0 3.57596e-5i
\(436\) −13.6787 −0.655089
\(437\) 2.57507 + 3.61478i 0.123182 + 0.172918i
\(438\) 1.30611i 0.0624084i
\(439\) −15.2146 + 4.46741i −0.726154 + 0.213218i −0.623860 0.781536i \(-0.714436\pi\)
−0.102294 + 0.994754i \(0.532618\pi\)
\(440\) 2.34823 8.28737i 0.111948 0.395085i
\(441\) 14.3196 9.20267i 0.681887 0.438222i
\(442\) −1.16598 + 0.167642i −0.0554599 + 0.00797394i
\(443\) −16.5079 + 25.6868i −0.784314 + 1.22042i 0.186940 + 0.982371i \(0.440143\pi\)
−0.971254 + 0.238045i \(0.923493\pi\)
\(444\) 0.0414215 0.0907004i 0.00196578 0.00430445i
\(445\) 2.12201 15.8230i 0.100593 0.750082i
\(446\) 2.90052 20.1735i 0.137344 0.955245i
\(447\) −1.23650 + 0.564688i −0.0584842 + 0.0267088i
\(448\) 0.322444 1.09815i 0.0152341 0.0518825i
\(449\) −6.20596 1.82224i −0.292878 0.0859966i 0.131993 0.991251i \(-0.457862\pi\)
−0.424871 + 0.905254i \(0.639680\pi\)
\(450\) −0.283756 14.9547i −0.0133764 0.704969i
\(451\) 2.70784 18.8335i 0.127507 0.886833i
\(452\) −11.6764 10.1177i −0.549212 0.475895i
\(453\) 0.351414 + 0.160485i 0.0165109 + 0.00754026i
\(454\) −2.50041 1.60691i −0.117350 0.0754162i
\(455\) 2.33002 + 2.63800i 0.109233 + 0.123671i
\(456\) 0.0719029 0.0462092i 0.00336716 0.00216394i
\(457\) −15.0484 + 13.0395i −0.703935 + 0.609963i −0.931475 0.363806i \(-0.881477\pi\)
0.227540 + 0.973769i \(0.426932\pi\)
\(458\) 6.32959 + 21.5566i 0.295762 + 1.00727i
\(459\) 0.473964 0.0221227
\(460\) −2.42734 + 10.4455i −0.113175 + 0.487023i
\(461\) −13.0285 −0.606796 −0.303398 0.952864i \(-0.598121\pi\)
−0.303398 + 0.952864i \(0.598121\pi\)
\(462\) −0.114718 0.390695i −0.00533718 0.0181768i
\(463\) −14.3298 + 12.4168i −0.665962 + 0.577059i −0.920853 0.389911i \(-0.872506\pi\)
0.254891 + 0.966970i \(0.417960\pi\)
\(464\) 0.00469088 0.00301465i 0.000217769 0.000139952i
\(465\) 1.03249 0.911950i 0.0478807 0.0422907i
\(466\) 11.7162 + 7.52951i 0.542740 + 0.348798i
\(467\) 29.8041 + 13.6111i 1.37917 + 0.629846i 0.960497 0.278291i \(-0.0897681\pi\)
0.418673 + 0.908137i \(0.362495\pi\)
\(468\) 3.10929 + 2.69421i 0.143727 + 0.124540i
\(469\) 1.26039 8.76618i 0.0581993 0.404785i
\(470\) 13.7705 + 8.66629i 0.635185 + 0.399746i
\(471\) −0.231156 0.0678737i −0.0106511 0.00312745i
\(472\) 0.607046 2.06741i 0.0279415 0.0951602i
\(473\) 24.3289 11.1106i 1.11864 0.510867i
\(474\) 0.0278211 0.193500i 0.00127786 0.00888774i
\(475\) −2.00169 4.17177i −0.0918437 0.191414i
\(476\) 0.407226 0.891700i 0.0186652 0.0408710i
\(477\) 0.742846 1.15589i 0.0340126 0.0529246i
\(478\) 11.5180 1.65603i 0.526820 0.0757453i
\(479\) 17.9599 11.5421i 0.820608 0.527373i −0.0616728 0.998096i \(-0.519644\pi\)
0.882281 + 0.470724i \(0.156007\pi\)
\(480\) 0.198697 + 0.0563010i 0.00906925 + 0.00256978i
\(481\) 1.42465 0.418314i 0.0649583 0.0190735i
\(482\) 18.5648i 0.845604i
\(483\) 0.165893 + 0.479030i 0.00754837 + 0.0217966i
\(484\) −3.83893 −0.174497
\(485\) −32.8006 27.8815i −1.48940 1.26604i
\(486\) −1.62682 1.87746i −0.0737943 0.0851631i
\(487\) 11.3067 + 17.5936i 0.512357 + 0.797243i 0.996995 0.0774722i \(-0.0246849\pi\)
−0.484638 + 0.874715i \(0.661049\pi\)
\(488\) −9.57391 + 1.37652i −0.433390 + 0.0623121i
\(489\) 0.238613 + 0.153347i 0.0107904 + 0.00693459i
\(490\) 12.5762 1.93012i 0.568136 0.0871940i
\(491\) 27.0112 31.1726i 1.21900 1.40680i 0.333118 0.942885i \(-0.391899\pi\)
0.885881 0.463913i \(-0.153555\pi\)
\(492\) 0.451550 + 0.0649230i 0.0203574 + 0.00292696i
\(493\) 0.00434439 0.00198402i 0.000195661 8.93556e-5i
\(494\) 1.22119 + 0.358574i 0.0549439 + 0.0161330i
\(495\) −24.6537 + 7.49372i −1.10810 + 0.336818i
\(496\) −2.77098 6.06760i −0.124421 0.272443i
\(497\) −4.07877 0.586439i −0.182958 0.0263054i
\(498\) −0.718115 0.622250i −0.0321795 0.0278837i
\(499\) −14.7053 + 32.2001i −0.658300 + 1.44148i 0.225798 + 0.974174i \(0.427501\pi\)
−0.884098 + 0.467301i \(0.845226\pi\)
\(500\) 4.35322 10.2980i 0.194682 0.460542i
\(501\) −0.180204 1.25335i −0.00805093 0.0559954i
\(502\) −3.46138 5.38601i −0.154489 0.240389i
\(503\) 3.70454 3.21001i 0.165177 0.143127i −0.568350 0.822787i \(-0.692418\pi\)
0.733527 + 0.679660i \(0.237873\pi\)
\(504\) −3.28507 + 0.964583i −0.146329 + 0.0429659i
\(505\) −19.2037 + 12.6005i −0.854553 + 0.560713i
\(506\) 18.4531 0.882429i 0.820340 0.0392288i
\(507\) 1.02597i 0.0455648i
\(508\) 0.858846 + 2.92496i 0.0381051 + 0.129774i
\(509\) −6.24616 7.20845i −0.276856 0.319509i 0.600244 0.799817i \(-0.295070\pi\)
−0.877100 + 0.480308i \(0.840525\pi\)
\(510\) 0.161592 + 0.0719520i 0.00715542 + 0.00318609i
\(511\) −2.30341 16.0206i −0.101897 0.708708i
\(512\) 0.540641 0.841254i 0.0238932 0.0371785i
\(513\) −0.465821 0.212733i −0.0205665 0.00939240i
\(514\) −7.80428 + 9.00662i −0.344232 + 0.397265i
\(515\) −30.1668 + 14.1241i −1.32931 + 0.622382i
\(516\) 0.266387 + 0.583307i 0.0117270 + 0.0256787i
\(517\) 7.89688 26.8943i 0.347304 1.18281i
\(518\) −0.348114 + 1.18557i −0.0152953 + 0.0520909i
\(519\) −0.612655 1.34153i −0.0268926 0.0588865i
\(520\) 1.30399 + 2.78512i 0.0571839 + 0.122136i
\(521\) 15.2873 17.6425i 0.669748 0.772930i −0.314589 0.949228i \(-0.601867\pi\)
0.984337 + 0.176298i \(0.0564121\pi\)
\(522\) −0.0151732 0.00692938i −0.000664114 0.000303291i
\(523\) −2.28976 + 3.56293i −0.100124 + 0.155796i −0.887701 0.460420i \(-0.847699\pi\)
0.787577 + 0.616216i \(0.211335\pi\)
\(524\) 0.940933 + 6.54433i 0.0411049 + 0.285891i
\(525\) −0.0851278 0.521623i −0.00371528 0.0227655i
\(526\) −6.09516 7.03419i −0.265762 0.306705i
\(527\) −1.60962 5.48186i −0.0701162 0.238794i
\(528\) 0.355777i 0.0154832i
\(529\) −22.8950 + 2.19471i −0.995437 + 0.0954220i
\(530\) 0.858700 0.563434i 0.0372996 0.0244740i
\(531\) −6.18459 + 1.81596i −0.268388 + 0.0788059i
\(532\) −0.800458 + 0.693601i −0.0347043 + 0.0300714i
\(533\) 3.67265 + 5.71475i 0.159080 + 0.247533i
\(534\) −0.0938428 0.652691i −0.00406098 0.0282447i
\(535\) −0.379542 40.0092i −0.0164090 1.72975i
\(536\) 3.21453 7.03885i 0.138847 0.304032i
\(537\) −1.66342 1.44136i −0.0717817 0.0621992i
\(538\) 29.1132 + 4.18584i 1.25516 + 0.180465i
\(539\) −9.10550 19.9383i −0.392202 0.858802i
\(540\) −0.359850 1.18387i −0.0154855 0.0509459i
\(541\) 19.2376 + 5.64867i 0.827089 + 0.242855i 0.667766 0.744371i \(-0.267251\pi\)
0.159323 + 0.987227i \(0.449069\pi\)
\(542\) 13.9453 6.36859i 0.599000 0.273554i
\(543\) −0.159419 0.0229210i −0.00684131 0.000983632i
\(544\) 0.560898 0.647311i 0.0240483 0.0277532i
\(545\) 4.63990 + 30.2325i 0.198751 + 1.29502i
\(546\) 0.122298 + 0.0785963i 0.00523388 + 0.00336361i
\(547\) 5.59151 0.803938i 0.239076 0.0343739i −0.0217354 0.999764i \(-0.506919\pi\)
0.260811 + 0.965390i \(0.416010\pi\)
\(548\) −6.63597 10.3258i −0.283474 0.441095i
\(549\) 18.9481 + 21.8673i 0.808686 + 0.933273i
\(550\) −19.1132 2.37891i −0.814989 0.101437i
\(551\) −0.00516025 −0.000219834
\(552\) 0.0211571 + 0.442430i 0.000900504 + 0.0188311i
\(553\) 2.42251i 0.103015i
\(554\) 17.5246 5.14569i 0.744549 0.218619i
\(555\) −0.214516 0.0607832i −0.00910568 0.00258010i
\(556\) −13.6036 + 8.74248i −0.576919 + 0.370764i
\(557\) 34.5963 4.97419i 1.46589 0.210763i 0.637299 0.770617i \(-0.280052\pi\)
0.828592 + 0.559853i \(0.189143\pi\)
\(558\) −10.7881 + 16.7866i −0.456696 + 0.710634i
\(559\) −3.96676 + 8.68599i −0.167776 + 0.367378i
\(560\) −2.53648 0.340165i −0.107186 0.0143746i
\(561\) 0.0433674 0.301627i 0.00183097 0.0127347i
\(562\) −20.2503 + 9.24798i −0.854205 + 0.390103i
\(563\) 4.00533 13.6409i 0.168804 0.574895i −0.831022 0.556240i \(-0.812243\pi\)
0.999826 0.0186549i \(-0.00593840\pi\)
\(564\) 0.644816 + 0.189335i 0.0271516 + 0.00797244i
\(565\) −18.4012 + 29.2390i −0.774146 + 1.23010i
\(566\) 2.75964 19.1938i 0.115997 0.806774i
\(567\) 7.71830 + 6.68794i 0.324138 + 0.280867i
\(568\) −3.27507 1.49567i −0.137419 0.0627571i
\(569\) 11.0496 + 7.10113i 0.463222 + 0.297695i 0.751358 0.659895i \(-0.229399\pi\)
−0.288136 + 0.957590i \(0.593035\pi\)
\(570\) −0.126521 0.143245i −0.00529938 0.00599986i
\(571\) 6.97446 4.48221i 0.291872 0.187575i −0.386508 0.922286i \(-0.626319\pi\)
0.678380 + 0.734711i \(0.262682\pi\)
\(572\) 4.00385 3.46936i 0.167409 0.145061i
\(573\) 0.393158 + 1.33897i 0.0164244 + 0.0559365i
\(574\) −5.65314 −0.235958
\(575\) 23.9099 + 1.82171i 0.997110 + 0.0759705i
\(576\) −2.99147 −0.124645
\(577\) −5.22928 17.8093i −0.217698 0.741410i −0.993837 0.110849i \(-0.964643\pi\)
0.776140 0.630561i \(-0.217175\pi\)
\(578\) −12.2933 + 10.6522i −0.511334 + 0.443074i
\(579\) 1.84568 1.18615i 0.0767038 0.0492945i
\(580\) −0.00825412 0.00934515i −0.000342734 0.000388036i
\(581\) 9.90568 + 6.36599i 0.410957 + 0.264106i
\(582\) −1.61743 0.738655i −0.0670446 0.0306183i
\(583\) −1.33716 1.15866i −0.0553796 0.0479867i
\(584\) 2.01258 13.9978i 0.0832812 0.579234i
\(585\) 4.90003 7.78601i 0.202591 0.321912i
\(586\) 11.0258 + 3.23747i 0.455472 + 0.133739i
\(587\) 4.20940 14.3359i 0.173741 0.591706i −0.825872 0.563858i \(-0.809316\pi\)
0.999612 0.0278477i \(-0.00886534\pi\)
\(588\) 0.478038 0.218313i 0.0197140 0.00900307i
\(589\) −0.878505 + 6.11014i −0.0361982 + 0.251764i
\(590\) −4.77528 0.640408i −0.196595 0.0263652i
\(591\) 0.369233 0.808508i 0.0151882 0.0332576i
\(592\) −0.583682 + 0.908226i −0.0239892 + 0.0373279i
\(593\) 44.3260 6.37311i 1.82025 0.261712i 0.854177 0.519983i \(-0.174062\pi\)
0.966073 + 0.258270i \(0.0831525\pi\)
\(594\) −1.79324 + 1.15244i −0.0735775 + 0.0472854i
\(595\) −2.10896 0.597576i −0.0864589 0.0244982i
\(596\) 14.1219 4.14655i 0.578454 0.169849i
\(597\) 0.462800i 0.0189411i
\(598\) −4.77271 + 4.55245i −0.195171 + 0.186163i
\(599\) −24.3359 −0.994336 −0.497168 0.867654i \(-0.665627\pi\)
−0.497168 + 0.867654i \(0.665627\pi\)
\(600\) 0.0570365 0.458256i 0.00232851 0.0187082i
\(601\) −17.3309 20.0009i −0.706940 0.815853i 0.282732 0.959199i \(-0.408759\pi\)
−0.989673 + 0.143346i \(0.954214\pi\)
\(602\) −4.29617 6.68497i −0.175099 0.272459i
\(603\) −22.9127 + 3.29436i −0.933079 + 0.134157i
\(604\) −3.51887 2.26144i −0.143181 0.0920168i
\(605\) 1.30219 + 8.48476i 0.0529415 + 0.344954i
\(606\) −0.621260 + 0.716972i −0.0252370 + 0.0291250i
\(607\) −5.88323 0.845881i −0.238793 0.0343333i 0.0218792 0.999761i \(-0.493035\pi\)
−0.260672 + 0.965427i \(0.583944\pi\)
\(608\) −0.841800 + 0.384437i −0.0341395 + 0.0155910i
\(609\) −0.000565541 0 0.000166058i −2.29169e−5 0 6.72900e-6i
\(610\) 6.28990 + 20.6932i 0.254671 + 0.837844i
\(611\) 4.15717 + 9.10294i 0.168181 + 0.368266i
\(612\) −2.53616 0.364645i −0.102518 0.0147399i
\(613\) 14.5319 + 12.5920i 0.586940 + 0.508586i 0.896941 0.442150i \(-0.145784\pi\)
−0.310002 + 0.950736i \(0.600330\pi\)
\(614\) −3.18746 + 6.97957i −0.128635 + 0.281672i
\(615\) −0.00967641 1.02003i −0.000390190 0.0411317i
\(616\) 0.627436 + 4.36391i 0.0252801 + 0.175827i
\(617\) 7.50772 + 11.6822i 0.302250 + 0.470310i 0.958844 0.283935i \(-0.0916399\pi\)
−0.656594 + 0.754244i \(0.728004\pi\)
\(618\) −1.03977 + 0.900968i −0.0418258 + 0.0362422i
\(619\) 38.2748 11.2385i 1.53840 0.451714i 0.600788 0.799408i \(-0.294854\pi\)
0.937608 + 0.347695i \(0.113035\pi\)
\(620\) −12.4706 + 8.18256i −0.500832 + 0.328620i
\(621\) 2.16147 1.53977i 0.0867367 0.0617889i
\(622\) 0.645146i 0.0258680i
\(623\) 2.30213 + 7.84032i 0.0922328 + 0.314116i
\(624\) 0.0831810 + 0.0959960i 0.00332990 + 0.00384291i
\(625\) −24.2372 6.12828i −0.969490 0.245131i
\(626\) 0.525358 + 3.65395i 0.0209975 + 0.146041i
\(627\) −0.178004 + 0.276980i −0.00710879 + 0.0110615i
\(628\) 2.37276 + 1.08360i 0.0946834 + 0.0432404i
\(629\) −0.605552 + 0.698844i −0.0241449 + 0.0278647i
\(630\) 3.24623 + 6.93343i 0.129333 + 0.276234i
\(631\) 15.3213 + 33.5491i 0.609933 + 1.33557i 0.922620 + 0.385711i \(0.126044\pi\)
−0.312687 + 0.949856i \(0.601229\pi\)
\(632\) −0.596326 + 2.03090i −0.0237206 + 0.0807849i
\(633\) −0.568599 + 1.93647i −0.0225998 + 0.0769678i
\(634\) −7.63868 16.7264i −0.303371 0.664289i
\(635\) 6.17339 2.89038i 0.244984 0.114701i
\(636\) 0.0277799 0.0320597i 0.00110154 0.00127125i
\(637\) 7.11844 + 3.25088i 0.282043 + 0.128805i
\(638\) −0.0116128 + 0.0180699i −0.000459756 + 0.000715394i
\(639\) 1.53281 + 10.6610i 0.0606372 + 0.421741i
\(640\) −2.04272 0.909560i −0.0807456 0.0359535i
\(641\) 10.1816 + 11.7502i 0.402148 + 0.464103i 0.920316 0.391175i \(-0.127931\pi\)
−0.518168 + 0.855279i \(0.673386\pi\)
\(642\) −0.465595 1.58567i −0.0183756 0.0625814i
\(643\) 28.4579i 1.12227i −0.827724 0.561136i \(-0.810365\pi\)
0.827724 0.561136i \(-0.189635\pi\)
\(644\) −1.03976 5.38947i −0.0409724 0.212375i
\(645\) 1.19886 0.786628i 0.0472050 0.0309735i
\(646\) −0.760536 + 0.223314i −0.0299229 + 0.00878616i
\(647\) −24.7703 + 21.4636i −0.973820 + 0.843820i −0.987744 0.156083i \(-0.950113\pi\)
0.0139238 + 0.999903i \(0.495568\pi\)
\(648\) 4.82430 + 7.50676i 0.189516 + 0.294893i
\(649\) 1.18123 + 8.21566i 0.0463675 + 0.322493i
\(650\) 5.71332 3.82680i 0.224095 0.150100i
\(651\) −0.292906 + 0.641374i −0.0114799 + 0.0251374i
\(652\) −2.32096 2.01112i −0.0908959 0.0787617i
\(653\) 14.3223 + 2.05924i 0.560475 + 0.0805841i 0.416729 0.909031i \(-0.363176\pi\)
0.143745 + 0.989615i \(0.454085\pi\)
\(654\) 0.524811 + 1.14917i 0.0205217 + 0.0449363i
\(655\) 14.1450 4.29952i 0.552693 0.167996i
\(656\) −4.73930 1.39158i −0.185038 0.0543322i
\(657\) −38.4816 + 17.5740i −1.50131 + 0.685626i
\(658\) −8.24313 1.18518i −0.321351 0.0462032i
\(659\) −11.7391 + 13.5477i −0.457292 + 0.527743i −0.936833 0.349776i \(-0.886258\pi\)
0.479541 + 0.877519i \(0.340803\pi\)
\(660\) −0.786334 + 0.120682i −0.0306080 + 0.00469754i
\(661\) 1.44448 + 0.928308i 0.0561836 + 0.0361070i 0.568431 0.822731i \(-0.307551\pi\)
−0.512248 + 0.858838i \(0.671187\pi\)
\(662\) −31.9037 + 4.58706i −1.23997 + 0.178281i
\(663\) 0.0588192 + 0.0915245i 0.00228435 + 0.00355452i
\(664\) 6.73734 + 7.77530i 0.261459 + 0.301740i
\(665\) 1.80451 + 1.53389i 0.0699759 + 0.0594817i
\(666\) 3.22962 0.125145
\(667\) 0.0133667 0.0231616i 0.000517560 0.000896820i
\(668\) 13.7100i 0.530457i
\(669\) −1.80611 + 0.530321i −0.0698282 + 0.0205034i
\(670\) −16.6476 4.71710i −0.643152 0.182238i
\(671\) 31.3444 20.1438i 1.21004 0.777644i
\(672\) −0.104629 + 0.0150434i −0.00403614 + 0.000580310i
\(673\) −20.2803 + 31.5567i −0.781747 + 1.21642i 0.190321 + 0.981722i \(0.439047\pi\)
−0.972068 + 0.234700i \(0.924589\pi\)
\(674\) −4.12267 + 9.02738i −0.158799 + 0.347722i
\(675\) −2.49452 + 1.19692i −0.0960143 + 0.0460693i
\(676\) 1.58091 10.9955i 0.0608042 0.422903i
\(677\) −4.43279 + 2.02439i −0.170366 + 0.0778035i −0.498772 0.866733i \(-0.666216\pi\)
0.328407 + 0.944536i \(0.393488\pi\)
\(678\) −0.402017 + 1.36914i −0.0154394 + 0.0525817i
\(679\) 21.1418 + 6.20781i 0.811350 + 0.238234i
\(680\) −1.62094 1.02012i −0.0621602 0.0391198i
\(681\) −0.0390670 + 0.271717i −0.00149705 + 0.0104122i
\(682\) 19.4192 + 16.8268i 0.743598 + 0.644331i
\(683\) −27.0727 12.3637i −1.03591 0.473084i −0.176461 0.984308i \(-0.556465\pi\)
−0.859448 + 0.511224i \(0.829192\pi\)
\(684\) 2.32892 + 1.49671i 0.0890485 + 0.0572280i
\(685\) −20.5709 + 18.1693i −0.785975 + 0.694214i
\(686\) −12.2183 + 7.85221i −0.466496 + 0.299799i
\(687\) 1.56817 1.35883i 0.0598294 0.0518425i
\(688\) −1.95610 6.66188i −0.0745758 0.253982i
\(689\) 0.631689 0.0240655
\(690\) 0.970677 0.196836i 0.0369531 0.00749343i
\(691\) 4.16285 0.158362 0.0791812 0.996860i \(-0.474769\pi\)
0.0791812 + 0.996860i \(0.474769\pi\)
\(692\) 4.49878 + 15.3214i 0.171018 + 0.582433i
\(693\) 9.96740 8.63680i 0.378630 0.328085i
\(694\) −1.52807 + 0.982028i −0.0580046 + 0.0372773i
\(695\) 23.9369 + 27.1009i 0.907980 + 1.02800i
\(696\) −0.000433243 0 0.000278428i −1.64220e−5 0 1.05538e-5i
\(697\) −3.84834 1.75748i −0.145766 0.0665691i
\(698\) −6.89621 5.97560i −0.261025 0.226180i
\(699\) 0.183056 1.27318i 0.00692383 0.0481563i
\(700\) 0.108562 + 5.72150i 0.00410327 + 0.216252i
\(701\) 10.5790 + 3.10627i 0.399563 + 0.117322i 0.475339 0.879802i \(-0.342325\pi\)
−0.0757762 + 0.997125i \(0.524143\pi\)
\(702\) 0.214410 0.730214i 0.00809239 0.0275602i
\(703\) 0.908816 0.415042i 0.0342766 0.0156536i
\(704\) −0.548216 + 3.81292i −0.0206617 + 0.143705i
\(705\) 0.199740 1.48939i 0.00752266 0.0560936i
\(706\) −6.37955 + 13.9693i −0.240098 + 0.525740i
\(707\) 6.35587 9.88992i 0.239037 0.371949i
\(708\) −0.196978 + 0.0283212i −0.00740289 + 0.00106437i
\(709\) −5.17991 + 3.32892i −0.194535 + 0.125020i −0.634283 0.773101i \(-0.718704\pi\)
0.439747 + 0.898122i \(0.355068\pi\)
\(710\) −2.19480 + 7.74586i −0.0823693 + 0.290697i
\(711\) 6.07538 1.78389i 0.227845 0.0669012i
\(712\) 7.13961i 0.267568i
\(713\) −25.1495 19.7703i −0.941857 0.740405i
\(714\) −0.0905377 −0.00338829
\(715\) −9.02607 7.67244i −0.337556 0.286933i
\(716\) 15.6061 + 18.0105i 0.583229 + 0.673082i
\(717\) −0.581038 0.904113i −0.0216993 0.0337647i
\(718\) −2.42695 + 0.348942i −0.0905729 + 0.0130224i
\(719\) −18.6063 11.9575i −0.693897 0.445940i 0.145572 0.989348i \(-0.453498\pi\)
−0.839469 + 0.543407i \(0.817134\pi\)
\(720\) 1.01473 + 6.61172i 0.0378166 + 0.246404i
\(721\) 11.1648 12.8849i 0.415799 0.479857i
\(722\) −17.9589 2.58210i −0.668361 0.0960958i
\(723\) −1.55967 + 0.712278i −0.0580048 + 0.0264899i
\(724\) 1.67320 + 0.491296i 0.0621840 + 0.0182589i
\(725\) −0.0178547 + 0.0214131i −0.000663107 + 0.000795263i
\(726\) 0.147288 + 0.322517i 0.00546638 + 0.0119697i
\(727\) 14.0078 + 2.01402i 0.519520 + 0.0746957i 0.397087 0.917781i \(-0.370021\pi\)
0.122433 + 0.992477i \(0.460930\pi\)
\(728\) −1.18958 1.03078i −0.0440888 0.0382032i
\(729\) 11.0253 24.1421i 0.408345 0.894150i
\(730\) −31.6205 + 0.299964i −1.17033 + 0.0111022i
\(731\) −0.846331 5.88636i −0.0313027 0.217715i
\(732\) 0.482967 + 0.751512i 0.0178510 + 0.0277767i
\(733\) 7.77249 6.73490i 0.287084 0.248759i −0.499399 0.866372i \(-0.666446\pi\)
0.786482 + 0.617613i \(0.211900\pi\)
\(734\) −21.8180 + 6.40634i −0.805316 + 0.236462i
\(735\) −0.644666 0.982502i −0.0237789 0.0362401i
\(736\) 0.454995 4.77420i 0.0167713 0.175979i
\(737\) 29.8083i 1.09800i
\(738\) 4.16288 + 14.1775i 0.153238 + 0.521880i
\(739\) 29.5389 + 34.0897i 1.08660 + 1.25401i 0.965230 + 0.261402i \(0.0841849\pi\)
0.121375 + 0.992607i \(0.461270\pi\)
\(740\) 2.20534 + 0.981971i 0.0810699 + 0.0360980i
\(741\) −0.0167289 0.116352i −0.000614553 0.00427431i
\(742\) −0.284205 + 0.442232i −0.0104335 + 0.0162348i
\(743\) −35.1049 16.0319i −1.28788 0.588153i −0.350529 0.936552i \(-0.613998\pi\)
−0.937346 + 0.348399i \(0.886726\pi\)
\(744\) −0.403438 + 0.465592i −0.0147908 + 0.0170694i
\(745\) −13.9549 29.8055i −0.511268 1.09199i
\(746\) −14.4826 31.7125i −0.530245 1.16108i
\(747\) 8.67084 29.5302i 0.317249 1.08045i
\(748\) −0.929551 + 3.16576i −0.0339878 + 0.115752i
\(749\) 8.50735 + 18.6285i 0.310852 + 0.680671i
\(750\) −1.03218 + 0.0293820i −0.0376899 + 0.00107288i
\(751\) −17.2821 + 19.9446i −0.630632 + 0.727788i −0.977689 0.210056i \(-0.932635\pi\)
0.347057 + 0.937844i \(0.387181\pi\)
\(752\) −6.61886 3.02273i −0.241365 0.110228i
\(753\) −0.319687 + 0.497443i −0.0116501 + 0.0181278i
\(754\) −0.00109138 0.00759072i −3.97458e−5 0.000276438i
\(755\) −3.80459 + 8.54448i −0.138463 + 0.310965i
\(756\) 0.414741 + 0.478636i 0.0150840 + 0.0174078i
\(757\) −8.31937 28.3332i −0.302373 1.02979i −0.960823 0.277162i \(-0.910606\pi\)
0.658451 0.752624i \(-0.271212\pi\)
\(758\) 31.4216i 1.14128i
\(759\) −0.782126 1.51643i −0.0283894 0.0550429i
\(760\) 1.13522 + 1.73013i 0.0411789 + 0.0627585i
\(761\) −35.4871 + 10.4200i −1.28641 + 0.377723i −0.852260 0.523119i \(-0.824768\pi\)
−0.434147 + 0.900842i \(0.642950\pi\)
\(762\) 0.212781 0.184376i 0.00770824 0.00667923i
\(763\) −8.46390 13.1701i −0.306414 0.476789i
\(764\) −2.15032 14.9558i −0.0777960 0.541083i
\(765\) 0.0543482 + 5.72908i 0.00196496 + 0.207135i
\(766\) 13.8774 30.3873i 0.501411 1.09794i
\(767\) −2.23955 1.94058i −0.0808655 0.0700703i
\(768\) −0.0914184 0.0131440i −0.00329878 0.000474292i
\(769\) −4.58637 10.0427i −0.165389 0.362151i 0.808733 0.588176i \(-0.200154\pi\)
−0.974121 + 0.226026i \(0.927427\pi\)
\(770\) 9.43224 2.86702i 0.339914 0.103320i
\(771\) 1.05609 + 0.310097i 0.0380343 + 0.0111679i