Properties

Label 585.2.bt.b.376.15
Level $585$
Weight $2$
Character 585.376
Analytic conductor $4.671$
Analytic rank $0$
Dimension $108$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 585 = 3^{2} \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 585.bt (of order \(6\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(4.67124851824\)
Analytic rank: \(0\)
Dimension: \(108\)
Relative dimension: \(54\) over \(\Q(\zeta_{6})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{6}]$

Embedding invariants

Embedding label 376.15
Character \(\chi\) \(=\) 585.376
Dual form 585.2.bt.b.571.15

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.22618 - 0.707937i) q^{2} +(1.65800 - 0.501035i) q^{3} +(0.00235097 + 0.00407201i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.38771 - 0.559399i) q^{6} +(-0.00992873 - 0.00573236i) q^{7} +2.82509i q^{8} +(2.49793 - 1.66143i) q^{9} +O(q^{10})\) \(q+(-1.22618 - 0.707937i) q^{2} +(1.65800 - 0.501035i) q^{3} +(0.00235097 + 0.00407201i) q^{4} +(0.866025 - 0.500000i) q^{5} +(-2.38771 - 0.559399i) q^{6} +(-0.00992873 - 0.00573236i) q^{7} +2.82509i q^{8} +(2.49793 - 1.66143i) q^{9} -1.41587 q^{10} +(-3.20924 - 1.85286i) q^{11} +(0.00593813 + 0.00557347i) q^{12} +(-3.01269 - 1.98083i) q^{13} +(0.00811630 + 0.0140578i) q^{14} +(1.18535 - 1.26291i) q^{15} +(2.00469 - 3.47223i) q^{16} +4.64895 q^{17} +(-4.23911 + 0.268844i) q^{18} -6.04019i q^{19} +(0.00407201 + 0.00235097i) q^{20} +(-0.0193339 - 0.00452960i) q^{21} +(2.62341 + 4.54388i) q^{22} +(-2.42067 - 4.19273i) q^{23} +(1.41547 + 4.68400i) q^{24} +(0.500000 - 0.866025i) q^{25} +(2.29181 + 4.56166i) q^{26} +(3.30913 - 4.00620i) q^{27} -5.39065e-5i q^{28} +(-4.46472 + 7.73312i) q^{29} +(-2.34752 + 0.709403i) q^{30} +(5.72460 - 3.30510i) q^{31} +(-0.0230347 + 0.0132991i) q^{32} +(-6.24926 - 1.46409i) q^{33} +(-5.70047 - 3.29117i) q^{34} -0.0114647 q^{35} +(0.0126379 + 0.00626559i) q^{36} -4.52388i q^{37} +(-4.27608 + 7.40639i) q^{38} +(-5.98751 - 1.77475i) q^{39} +(1.41255 + 2.44660i) q^{40} +(-3.46246 + 1.99905i) q^{41} +(0.0205003 + 0.0192414i) q^{42} +(-0.571044 + 0.989078i) q^{43} -0.0174241i q^{44} +(1.33255 - 2.68781i) q^{45} +6.85474i q^{46} +(8.97044 + 5.17908i) q^{47} +(1.58407 - 6.76137i) q^{48} +(-3.49993 - 6.06206i) q^{49} +(-1.22618 + 0.707937i) q^{50} +(7.70796 - 2.32929i) q^{51} +(0.000983196 - 0.0169246i) q^{52} +2.37762 q^{53} +(-6.89374 + 2.56968i) q^{54} -3.70571 q^{55} +(0.0161944 - 0.0280496i) q^{56} +(-3.02635 - 10.0146i) q^{57} +(10.9491 - 6.32148i) q^{58} +(-1.19273 + 0.688625i) q^{59} +(0.00792930 + 0.00185770i) q^{60} +(-4.33838 + 7.51430i) q^{61} -9.35922 q^{62} +(-0.0343252 + 0.00217690i) q^{63} -7.98110 q^{64} +(-3.59948 - 0.209104i) q^{65} +(6.62626 + 6.21933i) q^{66} +(8.37253 - 4.83388i) q^{67} +(0.0109296 + 0.0189305i) q^{68} +(-6.11418 - 5.73870i) q^{69} +(0.0140578 + 0.00811630i) q^{70} +5.79546i q^{71} +(4.69370 + 7.05688i) q^{72} -1.97265i q^{73} +(-3.20262 + 5.54710i) q^{74} +(0.395091 - 1.68639i) q^{75} +(0.0245957 - 0.0142003i) q^{76} +(0.0212424 + 0.0367930i) q^{77} +(6.08537 + 6.41496i) q^{78} +(-0.376913 + 0.652832i) q^{79} -4.00938i q^{80} +(3.47929 - 8.30027i) q^{81} +5.66082 q^{82} +(-7.33925 - 4.23732i) q^{83} +(-2.70090e-5 - 8.93769e-5i) q^{84} +(4.02611 - 2.32447i) q^{85} +(1.40041 - 0.808527i) q^{86} +(-3.52794 + 15.0585i) q^{87} +(5.23449 - 9.06640i) q^{88} +3.56933i q^{89} +(-3.53675 + 2.35238i) q^{90} +(0.0185574 + 0.0369370i) q^{91} +(0.0113819 - 0.0197140i) q^{92} +(7.83542 - 8.34808i) q^{93} +(-7.33293 - 12.7010i) q^{94} +(-3.02010 - 5.23096i) q^{95} +(-0.0315282 + 0.0335911i) q^{96} +(-0.00405446 - 0.00234084i) q^{97} +9.91094i q^{98} +(-11.0948 + 0.703634i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 108 q - 6 q^{3} + 52 q^{4} - 14 q^{9} - 8 q^{10} - 36 q^{12} - 4 q^{13} - 8 q^{14} - 64 q^{16} + 36 q^{17} + 24 q^{22} - 22 q^{23} + 54 q^{25} + 40 q^{26} + 48 q^{27} - 16 q^{29} + 20 q^{30} - 40 q^{35} - 76 q^{36} - 12 q^{38} + 26 q^{39} - 52 q^{42} - 6 q^{43} - 68 q^{48} + 58 q^{49} + 34 q^{51} + 22 q^{52} - 116 q^{53} + 24 q^{55} + 40 q^{56} + 18 q^{61} + 152 q^{62} - 216 q^{64} + 2 q^{65} - 72 q^{66} - 134 q^{69} + 32 q^{74} + 40 q^{77} - 34 q^{78} + 18 q^{79} + 34 q^{81} + 88 q^{82} + 60 q^{87} + 8 q^{90} + 16 q^{91} + 176 q^{92} - 76 q^{94} - 56 q^{95}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/585\mathbb{Z}\right)^\times\).

\(n\) \(326\) \(352\) \(496\)
\(\chi(n)\) \(e\left(\frac{2}{3}\right)\) \(1\) \(-1\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.22618 0.707937i −0.867043 0.500587i −0.000678402 1.00000i \(-0.500216\pi\)
−0.866364 + 0.499412i \(0.833549\pi\)
\(3\) 1.65800 0.501035i 0.957247 0.289273i
\(4\) 0.00235097 + 0.00407201i 0.00117549 + 0.00203600i
\(5\) 0.866025 0.500000i 0.387298 0.223607i
\(6\) −2.38771 0.559399i −0.974780 0.228374i
\(7\) −0.00992873 0.00573236i −0.00375271 0.00216663i 0.498122 0.867107i \(-0.334023\pi\)
−0.501875 + 0.864940i \(0.667356\pi\)
\(8\) 2.82509i 0.998821i
\(9\) 2.49793 1.66143i 0.832643 0.553811i
\(10\) −1.41587 −0.447739
\(11\) −3.20924 1.85286i −0.967622 0.558657i −0.0691115 0.997609i \(-0.522016\pi\)
−0.898510 + 0.438952i \(0.855350\pi\)
\(12\) 0.00593813 + 0.00557347i 0.00171419 + 0.00160892i
\(13\) −3.01269 1.98083i −0.835570 0.549384i
\(14\) 0.00811630 + 0.0140578i 0.00216917 + 0.00375712i
\(15\) 1.18535 1.26291i 0.306057 0.326082i
\(16\) 2.00469 3.47223i 0.501173 0.868057i
\(17\) 4.64895 1.12754 0.563768 0.825933i \(-0.309351\pi\)
0.563768 + 0.825933i \(0.309351\pi\)
\(18\) −4.23911 + 0.268844i −0.999167 + 0.0633671i
\(19\) 6.04019i 1.38572i −0.721074 0.692858i \(-0.756351\pi\)
0.721074 0.692858i \(-0.243649\pi\)
\(20\) 0.00407201 + 0.00235097i 0.000910528 + 0.000525694i
\(21\) −0.0193339 0.00452960i −0.00421901 0.000988441i
\(22\) 2.62341 + 4.54388i 0.559313 + 0.968759i
\(23\) −2.42067 4.19273i −0.504745 0.874245i −0.999985 0.00548811i \(-0.998253\pi\)
0.495240 0.868756i \(-0.335080\pi\)
\(24\) 1.41547 + 4.68400i 0.288932 + 0.956118i
\(25\) 0.500000 0.866025i 0.100000 0.173205i
\(26\) 2.29181 + 4.56166i 0.449461 + 0.894615i
\(27\) 3.30913 4.00620i 0.636842 0.770994i
\(28\) 0 5.39065e-5i 0 1.01874e-5i
\(29\) −4.46472 + 7.73312i −0.829077 + 1.43600i 0.0696859 + 0.997569i \(0.477800\pi\)
−0.898763 + 0.438435i \(0.855533\pi\)
\(30\) −2.34752 + 0.709403i −0.428597 + 0.129519i
\(31\) 5.72460 3.30510i 1.02817 0.593614i 0.111709 0.993741i \(-0.464367\pi\)
0.916460 + 0.400127i \(0.131034\pi\)
\(32\) −0.0230347 + 0.0132991i −0.00407200 + 0.00235097i
\(33\) −6.24926 1.46409i −1.08786 0.254866i
\(34\) −5.70047 3.29117i −0.977622 0.564430i
\(35\) −0.0114647 −0.00193789
\(36\) 0.0126379 + 0.00626559i 0.00210632 + 0.00104427i
\(37\) 4.52388i 0.743721i −0.928289 0.371860i \(-0.878720\pi\)
0.928289 0.371860i \(-0.121280\pi\)
\(38\) −4.27608 + 7.40639i −0.693672 + 1.20147i
\(39\) −5.98751 1.77475i −0.958769 0.284188i
\(40\) 1.41255 + 2.44660i 0.223343 + 0.386842i
\(41\) −3.46246 + 1.99905i −0.540746 + 0.312200i −0.745381 0.666639i \(-0.767732\pi\)
0.204635 + 0.978838i \(0.434399\pi\)
\(42\) 0.0205003 + 0.0192414i 0.00316326 + 0.00296901i
\(43\) −0.571044 + 0.989078i −0.0870834 + 0.150833i −0.906277 0.422684i \(-0.861088\pi\)
0.819194 + 0.573517i \(0.194421\pi\)
\(44\) 0.0174241i 0.00262677i
\(45\) 1.33255 2.68781i 0.198645 0.400674i
\(46\) 6.85474i 1.01068i
\(47\) 8.97044 + 5.17908i 1.30847 + 0.755447i 0.981841 0.189705i \(-0.0607531\pi\)
0.326631 + 0.945152i \(0.394086\pi\)
\(48\) 1.58407 6.76137i 0.228641 0.975920i
\(49\) −3.49993 6.06206i −0.499991 0.866009i
\(50\) −1.22618 + 0.707937i −0.173409 + 0.100117i
\(51\) 7.70796 2.32929i 1.07933 0.326165i
\(52\) 0.000983196 0.0169246i 0.000136345 0.00234702i
\(53\) 2.37762 0.326591 0.163295 0.986577i \(-0.447788\pi\)
0.163295 + 0.986577i \(0.447788\pi\)
\(54\) −6.89374 + 2.56968i −0.938119 + 0.349690i
\(55\) −3.70571 −0.499678
\(56\) 0.0161944 0.0280496i 0.00216407 0.00374828i
\(57\) −3.02635 10.0146i −0.400850 1.32647i
\(58\) 10.9491 6.32148i 1.43769 0.830051i
\(59\) −1.19273 + 0.688625i −0.155281 + 0.0896513i −0.575627 0.817712i \(-0.695242\pi\)
0.420346 + 0.907364i \(0.361909\pi\)
\(60\) 0.00792930 + 0.00185770i 0.00102367 + 0.000239828i
\(61\) −4.33838 + 7.51430i −0.555473 + 0.962108i 0.442393 + 0.896821i \(0.354130\pi\)
−0.997867 + 0.0652867i \(0.979204\pi\)
\(62\) −9.35922 −1.18862
\(63\) −0.0343252 + 0.00217690i −0.00432457 + 0.000274264i
\(64\) −7.98110 −0.997638
\(65\) −3.59948 0.209104i −0.446461 0.0259362i
\(66\) 6.62626 + 6.21933i 0.815636 + 0.765547i
\(67\) 8.37253 4.83388i 1.02287 0.590553i 0.107934 0.994158i \(-0.465576\pi\)
0.914933 + 0.403605i \(0.132243\pi\)
\(68\) 0.0109296 + 0.0189305i 0.00132540 + 0.00229567i
\(69\) −6.11418 5.73870i −0.736061 0.690859i
\(70\) 0.0140578 + 0.00811630i 0.00168023 + 0.000970083i
\(71\) 5.79546i 0.687794i 0.939007 + 0.343897i \(0.111747\pi\)
−0.939007 + 0.343897i \(0.888253\pi\)
\(72\) 4.69370 + 7.05688i 0.553158 + 0.831661i
\(73\) 1.97265i 0.230882i −0.993314 0.115441i \(-0.963172\pi\)
0.993314 0.115441i \(-0.0368280\pi\)
\(74\) −3.20262 + 5.54710i −0.372297 + 0.644838i
\(75\) 0.395091 1.68639i 0.0456212 0.194727i
\(76\) 0.0245957 0.0142003i 0.00282132 0.00162889i
\(77\) 0.0212424 + 0.0367930i 0.00242080 + 0.00419295i
\(78\) 6.08537 + 6.41496i 0.689032 + 0.726351i
\(79\) −0.376913 + 0.652832i −0.0424060 + 0.0734494i −0.886449 0.462826i \(-0.846836\pi\)
0.844043 + 0.536275i \(0.180169\pi\)
\(80\) 4.00938i 0.448263i
\(81\) 3.47929 8.30027i 0.386588 0.922253i
\(82\) 5.66082 0.625133
\(83\) −7.33925 4.23732i −0.805587 0.465106i 0.0398338 0.999206i \(-0.487317\pi\)
−0.845421 + 0.534100i \(0.820650\pi\)
\(84\) −2.70090e−5 0 8.93769e-5i −2.94693e−6 0 9.75182e-6i
\(85\) 4.02611 2.32447i 0.436693 0.252125i
\(86\) 1.40041 0.808527i 0.151010 0.0871858i
\(87\) −3.52794 + 15.0585i −0.378235 + 1.61444i
\(88\) 5.23449 9.06640i 0.557998 0.966481i
\(89\) 3.56933i 0.378348i 0.981944 + 0.189174i \(0.0605811\pi\)
−0.981944 + 0.189174i \(0.939419\pi\)
\(90\) −3.53675 + 2.35238i −0.372807 + 0.247963i
\(91\) 0.0185574 + 0.0369370i 0.00194534 + 0.00387205i
\(92\) 0.0113819 0.0197140i 0.00118664 0.00205533i
\(93\) 7.83542 8.34808i 0.812495 0.865656i
\(94\) −7.33293 12.7010i −0.756334 1.31001i
\(95\) −3.02010 5.23096i −0.309855 0.536685i
\(96\) −0.0315282 + 0.0335911i −0.00321783 + 0.00342837i
\(97\) −0.00405446 0.00234084i −0.000411668 0.000237676i 0.499794 0.866144i \(-0.333409\pi\)
−0.500206 + 0.865907i \(0.666742\pi\)
\(98\) 9.91094i 1.00116i
\(99\) −11.0948 + 0.703634i −1.11507 + 0.0707179i
\(100\) 0.00470195 0.000470195
\(101\) −1.00162 + 1.73486i −0.0996649 + 0.172625i −0.911546 0.411198i \(-0.865110\pi\)
0.811881 + 0.583823i \(0.198444\pi\)
\(102\) −11.1004 2.60062i −1.09910 0.257500i
\(103\) 8.12311 + 14.0696i 0.800394 + 1.38632i 0.919357 + 0.393424i \(0.128710\pi\)
−0.118963 + 0.992899i \(0.537957\pi\)
\(104\) 5.59603 8.51113i 0.548736 0.834585i
\(105\) −0.0190085 + 0.00574422i −0.00185504 + 0.000560579i
\(106\) −2.91540 1.68320i −0.283168 0.163487i
\(107\) −2.25946 −0.218430 −0.109215 0.994018i \(-0.534834\pi\)
−0.109215 + 0.994018i \(0.534834\pi\)
\(108\) 0.0240930 + 0.00405631i 0.00231835 + 0.000390319i
\(109\) 8.34833i 0.799625i −0.916597 0.399812i \(-0.869075\pi\)
0.916597 0.399812i \(-0.130925\pi\)
\(110\) 4.54388 + 2.62341i 0.433242 + 0.250132i
\(111\) −2.26662 7.50059i −0.215138 0.711924i
\(112\) −0.0398081 + 0.0229832i −0.00376151 + 0.00217171i
\(113\) 4.45996 + 7.72487i 0.419558 + 0.726695i 0.995895 0.0905169i \(-0.0288519\pi\)
−0.576337 + 0.817212i \(0.695519\pi\)
\(114\) −3.37888 + 14.4223i −0.316461 + 1.35077i
\(115\) −4.19273 2.42067i −0.390974 0.225729i
\(116\) −0.0419857 −0.00389828
\(117\) −10.8165 + 0.0574092i −0.999986 + 0.00530749i
\(118\) 1.95001 0.179513
\(119\) −0.0461582 0.0266494i −0.00423131 0.00244295i
\(120\) 3.56783 + 3.34873i 0.325697 + 0.305696i
\(121\) 1.36614 + 2.36623i 0.124195 + 0.215112i
\(122\) 10.6393 6.14261i 0.963238 0.556126i
\(123\) −4.73917 + 5.04924i −0.427316 + 0.455275i
\(124\) 0.0269168 + 0.0155404i 0.00241720 + 0.00139557i
\(125\) 1.00000i 0.0894427i
\(126\) 0.0436301 + 0.0216308i 0.00388688 + 0.00192702i
\(127\) 18.7915 1.66748 0.833739 0.552159i \(-0.186196\pi\)
0.833739 + 0.552159i \(0.186196\pi\)
\(128\) 9.83237 + 5.67672i 0.869067 + 0.501756i
\(129\) −0.451229 + 1.92600i −0.0397285 + 0.169575i
\(130\) 4.26559 + 2.80461i 0.374117 + 0.245980i
\(131\) −1.48159 2.56619i −0.129447 0.224209i 0.794015 0.607898i \(-0.207987\pi\)
−0.923463 + 0.383688i \(0.874654\pi\)
\(132\) −0.00873006 0.0288891i −0.000759854 0.00251447i
\(133\) −0.0346245 + 0.0599715i −0.00300233 + 0.00520019i
\(134\) −13.6884 −1.18249
\(135\) 0.862688 5.12404i 0.0742484 0.441007i
\(136\) 13.1337i 1.12621i
\(137\) 17.0849 + 9.86395i 1.45966 + 0.842734i 0.998994 0.0448403i \(-0.0142779\pi\)
0.460664 + 0.887574i \(0.347611\pi\)
\(138\) 3.43447 + 11.3652i 0.292361 + 0.967467i
\(139\) 9.05260 + 15.6796i 0.767831 + 1.32992i 0.938737 + 0.344635i \(0.111997\pi\)
−0.170906 + 0.985287i \(0.554669\pi\)
\(140\) −2.69532e−5 0 4.66844e-5i −2.27796e−6 0 3.94555e-6i
\(141\) 17.4679 + 4.09242i 1.47106 + 0.344644i
\(142\) 4.10282 7.10630i 0.344301 0.596347i
\(143\) 5.99825 + 11.9390i 0.501599 + 0.998393i
\(144\) −0.761294 12.0040i −0.0634412 1.00034i
\(145\) 8.92943i 0.741549i
\(146\) −1.39651 + 2.41883i −0.115576 + 0.200184i
\(147\) −8.84020 8.29731i −0.729127 0.684351i
\(148\) 0.0184213 0.0106355i 0.00151422 0.000874234i
\(149\) −10.4375 + 6.02608i −0.855071 + 0.493676i −0.862359 0.506298i \(-0.831014\pi\)
0.00728749 + 0.999973i \(0.497680\pi\)
\(150\) −1.67831 + 1.78812i −0.137034 + 0.145999i
\(151\) 16.7981 + 9.69837i 1.36701 + 0.789242i 0.990545 0.137190i \(-0.0438069\pi\)
0.376463 + 0.926432i \(0.377140\pi\)
\(152\) 17.0641 1.38408
\(153\) 11.6127 7.72391i 0.938834 0.624441i
\(154\) 0.0601533i 0.00484729i
\(155\) 3.30510 5.72460i 0.265472 0.459811i
\(156\) −0.00684967 0.0285536i −0.000548412 0.00228611i
\(157\) 8.35313 + 14.4680i 0.666652 + 1.15468i 0.978834 + 0.204653i \(0.0656068\pi\)
−0.312182 + 0.950022i \(0.601060\pi\)
\(158\) 0.924329 0.533661i 0.0735356 0.0424558i
\(159\) 3.94209 1.19127i 0.312628 0.0944738i
\(160\) −0.0132991 + 0.0230347i −0.00105139 + 0.00182105i
\(161\) 0.0555046i 0.00437438i
\(162\) −10.1423 + 7.71454i −0.796856 + 0.606112i
\(163\) 7.00872i 0.548965i 0.961592 + 0.274483i \(0.0885065\pi\)
−0.961592 + 0.274483i \(0.911493\pi\)
\(164\) −0.0162803 0.00939944i −0.00127128 0.000733973i
\(165\) −6.14407 + 1.85669i −0.478315 + 0.144543i
\(166\) 5.99951 + 10.3915i 0.465652 + 0.806534i
\(167\) 15.4948 8.94595i 1.19903 0.692259i 0.238689 0.971096i \(-0.423282\pi\)
0.960338 + 0.278838i \(0.0899491\pi\)
\(168\) 0.0127966 0.0546202i 0.000987275 0.00421404i
\(169\) 5.15262 + 11.9353i 0.396355 + 0.918097i
\(170\) −6.58233 −0.504842
\(171\) −10.0354 15.0880i −0.767424 1.15381i
\(172\) −0.00537004 −0.000409462
\(173\) 12.9562 22.4409i 0.985045 1.70615i 0.343308 0.939223i \(-0.388452\pi\)
0.641737 0.766925i \(-0.278214\pi\)
\(174\) 14.9864 15.9669i 1.13611 1.21045i
\(175\) −0.00992873 + 0.00573236i −0.000750542 + 0.000433325i
\(176\) −12.8671 + 7.42880i −0.969892 + 0.559967i
\(177\) −1.63253 + 1.73934i −0.122708 + 0.130737i
\(178\) 2.52686 4.37665i 0.189396 0.328044i
\(179\) 3.63380 0.271603 0.135801 0.990736i \(-0.456639\pi\)
0.135801 + 0.990736i \(0.456639\pi\)
\(180\) 0.0140776 0.000892797i 0.00104928 6.65452e-5i
\(181\) −9.03354 −0.671458 −0.335729 0.941959i \(-0.608983\pi\)
−0.335729 + 0.941959i \(0.608983\pi\)
\(182\) 0.00339430 0.0584290i 0.000251602 0.00433104i
\(183\) −3.42811 + 14.6324i −0.253413 + 1.08166i
\(184\) 11.8448 6.83863i 0.873214 0.504150i
\(185\) −2.26194 3.91779i −0.166301 0.288042i
\(186\) −15.5176 + 4.68930i −1.13780 + 0.343836i
\(187\) −14.9196 8.61383i −1.09103 0.629905i
\(188\) 0.0487035i 0.00355207i
\(189\) −0.0558204 + 0.0208074i −0.00406034 + 0.00151352i
\(190\) 8.55216i 0.620439i
\(191\) 10.5689 18.3058i 0.764737 1.32456i −0.175648 0.984453i \(-0.556202\pi\)
0.940385 0.340111i \(-0.110465\pi\)
\(192\) −13.2327 + 3.99881i −0.954986 + 0.288589i
\(193\) −0.210790 + 0.121700i −0.0151730 + 0.00876015i −0.507567 0.861612i \(-0.669455\pi\)
0.492394 + 0.870372i \(0.336122\pi\)
\(194\) 0.00331434 + 0.00574060i 0.000237956 + 0.000412151i
\(195\) −6.07271 + 1.45677i −0.434876 + 0.104322i
\(196\) 0.0164565 0.0285035i 0.00117546 0.00203596i
\(197\) 18.3729i 1.30901i 0.756057 + 0.654506i \(0.227123\pi\)
−0.756057 + 0.654506i \(0.772877\pi\)
\(198\) 14.1024 + 6.99167i 1.00222 + 0.496876i
\(199\) −13.3674 −0.947587 −0.473793 0.880636i \(-0.657116\pi\)
−0.473793 + 0.880636i \(0.657116\pi\)
\(200\) 2.44660 + 1.41255i 0.173001 + 0.0998821i
\(201\) 11.4597 12.2095i 0.808306 0.861192i
\(202\) 2.45634 1.41817i 0.172828 0.0997820i
\(203\) 0.0886580 0.0511867i 0.00622257 0.00359260i
\(204\) 0.0276061 + 0.0259108i 0.00193281 + 0.00181412i
\(205\) −1.99905 + 3.46246i −0.139620 + 0.241829i
\(206\) 23.0026i 1.60267i
\(207\) −13.0126 6.45135i −0.904438 0.448400i
\(208\) −12.9174 + 6.48979i −0.895661 + 0.449986i
\(209\) −11.1916 + 19.3844i −0.774139 + 1.34085i
\(210\) 0.0273745 + 0.00641335i 0.00188902 + 0.000442563i
\(211\) −8.07314 13.9831i −0.555778 0.962635i −0.997843 0.0656523i \(-0.979087\pi\)
0.442065 0.896983i \(-0.354246\pi\)
\(212\) 0.00558972 + 0.00968167i 0.000383903 + 0.000664940i
\(213\) 2.90373 + 9.60887i 0.198960 + 0.658389i
\(214\) 2.77051 + 1.59956i 0.189388 + 0.109343i
\(215\) 1.14209i 0.0778898i
\(216\) 11.3179 + 9.34860i 0.770085 + 0.636091i
\(217\) −0.0757841 −0.00514456
\(218\) −5.91010 + 10.2366i −0.400282 + 0.693309i
\(219\) −0.988368 3.27066i −0.0667877 0.221011i
\(220\) −0.00871203 0.0150897i −0.000587365 0.00101735i
\(221\) −14.0058 9.20878i −0.942135 0.619450i
\(222\) −2.53065 + 10.8017i −0.169846 + 0.724964i
\(223\) −19.0098 10.9753i −1.27299 0.734959i −0.297438 0.954741i \(-0.596132\pi\)
−0.975549 + 0.219782i \(0.929465\pi\)
\(224\) 0.000304940 0 2.03747e−5 0
\(225\) −0.189878 2.99399i −0.0126586 0.199599i
\(226\) 12.6295i 0.840101i
\(227\) 0.780807 + 0.450799i 0.0518240 + 0.0299206i 0.525688 0.850677i \(-0.323808\pi\)
−0.473864 + 0.880598i \(0.657141\pi\)
\(228\) 0.0336648 0.0358675i 0.00222951 0.00237538i
\(229\) −1.49691 + 0.864240i −0.0989184 + 0.0571106i −0.548643 0.836057i \(-0.684855\pi\)
0.449725 + 0.893167i \(0.351522\pi\)
\(230\) 3.42737 + 5.93638i 0.225994 + 0.391433i
\(231\) 0.0536546 + 0.0503596i 0.00353021 + 0.00331342i
\(232\) −21.8468 12.6132i −1.43431 0.828100i
\(233\) 18.1858 1.19139 0.595696 0.803210i \(-0.296876\pi\)
0.595696 + 0.803210i \(0.296876\pi\)
\(234\) 13.3037 + 7.58701i 0.869687 + 0.495979i
\(235\) 10.3582 0.675692
\(236\) −0.00560817 0.00323788i −0.000365061 0.000210768i
\(237\) −0.297830 + 1.27124i −0.0193461 + 0.0825761i
\(238\) 0.0377323 + 0.0653542i 0.00244582 + 0.00423628i
\(239\) 12.8933 7.44396i 0.833999 0.481510i −0.0212209 0.999775i \(-0.506755\pi\)
0.855220 + 0.518265i \(0.173422\pi\)
\(240\) −2.00884 6.64755i −0.129670 0.429098i
\(241\) −8.04501 4.64479i −0.518225 0.299197i 0.217983 0.975952i \(-0.430052\pi\)
−0.736208 + 0.676755i \(0.763385\pi\)
\(242\) 3.86858i 0.248682i
\(243\) 1.60993 15.5051i 0.103277 0.994653i
\(244\) −0.0407977 −0.00261181
\(245\) −6.06206 3.49993i −0.387291 0.223603i
\(246\) 9.38564 2.83627i 0.598406 0.180834i
\(247\) −11.9646 + 18.1972i −0.761289 + 1.15786i
\(248\) 9.33722 + 16.1725i 0.592914 + 1.02696i
\(249\) −14.2915 3.34825i −0.905688 0.212187i
\(250\) −0.707937 + 1.22618i −0.0447739 + 0.0775507i
\(251\) −3.40713 −0.215056 −0.107528 0.994202i \(-0.534294\pi\)
−0.107528 + 0.994202i \(0.534294\pi\)
\(252\) −8.95619e−5 0 0.000134654i −5.64187e−6 0 8.48243e-6i
\(253\) 17.9406i 1.12792i
\(254\) −23.0419 13.3032i −1.44577 0.834718i
\(255\) 5.51064 5.87120i 0.345090 0.367669i
\(256\) −0.0564231 0.0977276i −0.00352644 0.00610797i
\(257\) −15.0941 26.1437i −0.941543 1.63080i −0.762530 0.646953i \(-0.776043\pi\)
−0.179013 0.983847i \(-0.557290\pi\)
\(258\) 1.91678 2.04219i 0.119334 0.127141i
\(259\) −0.0259325 + 0.0449164i −0.00161137 + 0.00279097i
\(260\) −0.00761082 0.0151487i −0.000472003 0.000939483i
\(261\) 1.69551 + 26.7346i 0.104949 + 1.65483i
\(262\) 4.19550i 0.259199i
\(263\) −9.48439 + 16.4275i −0.584833 + 1.01296i 0.410064 + 0.912057i \(0.365507\pi\)
−0.994896 + 0.100903i \(0.967827\pi\)
\(264\) 4.13620 17.6547i 0.254565 1.08657i
\(265\) 2.05908 1.18881i 0.126488 0.0730279i
\(266\) 0.0849121 0.0490240i 0.00520630 0.00300586i
\(267\) 1.78836 + 5.91795i 0.109446 + 0.362173i
\(268\) 0.0393672 + 0.0227287i 0.00240473 + 0.00138837i
\(269\) 3.45377 0.210580 0.105290 0.994442i \(-0.466423\pi\)
0.105290 + 0.994442i \(0.466423\pi\)
\(270\) −4.68531 + 5.67228i −0.285139 + 0.345204i
\(271\) 13.5998i 0.826131i 0.910701 + 0.413065i \(0.135542\pi\)
−0.910701 + 0.413065i \(0.864458\pi\)
\(272\) 9.31971 16.1422i 0.565090 0.978765i
\(273\) 0.0492748 + 0.0519436i 0.00298225 + 0.00314377i
\(274\) −13.9661 24.1900i −0.843724 1.46137i
\(275\) −3.20924 + 1.85286i −0.193524 + 0.111731i
\(276\) 0.00899376 0.0383885i 0.000541360 0.00231072i
\(277\) −3.82426 + 6.62382i −0.229778 + 0.397987i −0.957742 0.287628i \(-0.907133\pi\)
0.727964 + 0.685615i \(0.240467\pi\)
\(278\) 25.6347i 1.53747i
\(279\) 8.80845 17.7669i 0.527348 1.06368i
\(280\) 0.0323889i 0.00193561i
\(281\) −19.5232 11.2717i −1.16466 0.672414i −0.212240 0.977218i \(-0.568076\pi\)
−0.952415 + 0.304803i \(0.901409\pi\)
\(282\) −18.5217 17.3842i −1.10295 1.03522i
\(283\) 0.221480 + 0.383614i 0.0131656 + 0.0228035i 0.872533 0.488555i \(-0.162476\pi\)
−0.859368 + 0.511358i \(0.829142\pi\)
\(284\) −0.0235991 + 0.0136250i −0.00140035 + 0.000808493i
\(285\) −7.62822 7.15976i −0.451857 0.424108i
\(286\) 1.09713 18.8858i 0.0648747 1.11674i
\(287\) 0.0458371 0.00270568
\(288\) −0.0354435 + 0.0714907i −0.00208853 + 0.00421263i
\(289\) 4.61272 0.271337
\(290\) 6.32148 10.9491i 0.371210 0.642955i
\(291\) −0.00789513 0.00184969i −0.000462821 0.000108431i
\(292\) 0.00803265 0.00463765i 0.000470075 0.000271398i
\(293\) −0.131806 + 0.0760981i −0.00770018 + 0.00444570i −0.503845 0.863794i \(-0.668082\pi\)
0.496145 + 0.868240i \(0.334748\pi\)
\(294\) 4.96573 + 16.4323i 0.289607 + 0.958353i
\(295\) −0.688625 + 1.19273i −0.0400933 + 0.0694436i
\(296\) 12.7804 0.742844
\(297\) −18.0427 + 6.72553i −1.04694 + 0.390255i
\(298\) 17.0643 0.988511
\(299\) −1.01235 + 17.4263i −0.0585454 + 1.00779i
\(300\) 0.00779583 0.00235584i 0.000450092 0.000136014i
\(301\) 0.0113395 0.00654686i 0.000653597 0.000377355i
\(302\) −13.7317 23.7840i −0.790169 1.36861i
\(303\) −0.791462 + 3.37824i −0.0454683 + 0.194075i
\(304\) −20.9729 12.1087i −1.20288 0.694483i
\(305\) 8.67677i 0.496830i
\(306\) −19.7074 + 1.24984i −1.12660 + 0.0714487i
\(307\) 12.2212i 0.697503i 0.937215 + 0.348751i \(0.113394\pi\)
−0.937215 + 0.348751i \(0.886606\pi\)
\(308\) −9.98809e−5 0 0.000172999i −5.69124e−6 0 9.85752e-6i
\(309\) 20.5175 + 19.2575i 1.16720 + 1.09552i
\(310\) −8.10532 + 4.67961i −0.460351 + 0.265784i
\(311\) 14.5035 + 25.1209i 0.822421 + 1.42447i 0.903875 + 0.427797i \(0.140710\pi\)
−0.0814542 + 0.996677i \(0.525956\pi\)
\(312\) 5.01384 16.9153i 0.283853 0.957638i
\(313\) 13.4272 23.2565i 0.758949 1.31454i −0.184439 0.982844i \(-0.559047\pi\)
0.943387 0.331693i \(-0.107620\pi\)
\(314\) 23.6540i 1.33487i
\(315\) −0.0286380 + 0.0190478i −0.00161357 + 0.00107322i
\(316\) −0.00354445 −0.000199391
\(317\) −26.8476 15.5005i −1.50791 0.870595i −0.999958 0.00921179i \(-0.997068\pi\)
−0.507956 0.861383i \(-0.669599\pi\)
\(318\) −5.67707 1.33004i −0.318354 0.0745848i
\(319\) 28.6567 16.5449i 1.60447 0.926339i
\(320\) −6.91184 + 3.99055i −0.386384 + 0.223079i
\(321\) −3.74619 + 1.13207i −0.209092 + 0.0631859i
\(322\) 0.0392938 0.0680589i 0.00218976 0.00379277i
\(323\) 28.0806i 1.56244i
\(324\) 0.0419785 0.00534604i 0.00233214 0.000297002i
\(325\) −3.22180 + 1.61865i −0.178713 + 0.0897867i
\(326\) 4.96173 8.59397i 0.274805 0.475976i
\(327\) −4.18280 13.8415i −0.231310 0.765438i
\(328\) −5.64751 9.78177i −0.311832 0.540108i
\(329\) −0.0593767 0.102843i −0.00327354 0.00566994i
\(330\) 8.84818 + 2.07297i 0.487076 + 0.114113i
\(331\) 25.1339 + 14.5110i 1.38148 + 0.797599i 0.992335 0.123576i \(-0.0394363\pi\)
0.389147 + 0.921175i \(0.372770\pi\)
\(332\) 0.0398473i 0.00218690i
\(333\) −7.51611 11.3003i −0.411880 0.619254i
\(334\) −25.3327 −1.38614
\(335\) 4.83388 8.37253i 0.264103 0.457440i
\(336\) −0.0544864 + 0.0580514i −0.00297248 + 0.00316696i
\(337\) 8.04981 + 13.9427i 0.438501 + 0.759506i 0.997574 0.0696121i \(-0.0221761\pi\)
−0.559073 + 0.829119i \(0.688843\pi\)
\(338\) 2.13136 18.2826i 0.115931 0.994440i
\(339\) 11.2650 + 10.5732i 0.611833 + 0.574260i
\(340\) 0.0189305 + 0.0109296i 0.00102665 + 0.000592738i
\(341\) −24.4955 −1.32651
\(342\) 1.62387 + 25.6050i 0.0878088 + 1.38456i
\(343\) 0.160504i 0.00866643i
\(344\) −2.79424 1.61325i −0.150655 0.0869808i
\(345\) −8.16439 1.91277i −0.439556 0.102980i
\(346\) −31.7735 + 18.3444i −1.70815 + 0.986202i
\(347\) −6.18075 10.7054i −0.331800 0.574694i 0.651065 0.759022i \(-0.274323\pi\)
−0.982865 + 0.184328i \(0.940989\pi\)
\(348\) −0.0696123 + 0.0210363i −0.00373161 + 0.00112766i
\(349\) 0.966423 + 0.557965i 0.0517314 + 0.0298672i 0.525643 0.850705i \(-0.323825\pi\)
−0.473911 + 0.880573i \(0.657158\pi\)
\(350\) 0.0162326 0.000867669
\(351\) −17.9050 + 5.51463i −0.955698 + 0.294349i
\(352\) 0.0985651 0.00525354
\(353\) −13.4303 7.75398i −0.714822 0.412703i 0.0980218 0.995184i \(-0.468749\pi\)
−0.812844 + 0.582481i \(0.802082\pi\)
\(354\) 3.23312 0.977025i 0.171839 0.0519283i
\(355\) 2.89773 + 5.01901i 0.153796 + 0.266382i
\(356\) −0.0145343 + 0.00839140i −0.000770318 + 0.000444743i
\(357\) −0.0898825 0.0210579i −0.00475709 0.00111450i
\(358\) −4.45570 2.57250i −0.235491 0.135961i
\(359\) 25.6452i 1.35350i 0.736213 + 0.676750i \(0.236612\pi\)
−0.736213 + 0.676750i \(0.763388\pi\)
\(360\) 7.59330 + 3.76459i 0.400202 + 0.198411i
\(361\) −17.4839 −0.920208
\(362\) 11.0768 + 6.39518i 0.582183 + 0.336123i
\(363\) 3.45063 + 3.23872i 0.181111 + 0.169989i
\(364\) −0.000106780 0 0.000162404i −5.59677e−6 0 8.51226e-6i
\(365\) −0.986326 1.70837i −0.0516267 0.0894200i
\(366\) 14.5623 15.5151i 0.761185 0.810988i
\(367\) 9.19797 15.9314i 0.480130 0.831610i −0.519610 0.854404i \(-0.673923\pi\)
0.999740 + 0.0227937i \(0.00725608\pi\)
\(368\) −19.4108 −1.01186
\(369\) −5.32769 + 10.7461i −0.277348 + 0.559421i
\(370\) 6.40524i 0.332993i
\(371\) −0.0236067 0.0136293i −0.00122560 0.000707601i
\(372\) 0.0524143 + 0.0122798i 0.00271756 + 0.000636675i
\(373\) −7.49714 12.9854i −0.388187 0.672360i 0.604018 0.796970i \(-0.293565\pi\)
−0.992206 + 0.124610i \(0.960232\pi\)
\(374\) 12.1961 + 21.1243i 0.630646 + 1.09231i
\(375\) −0.501035 1.65800i −0.0258733 0.0856188i
\(376\) −14.6314 + 25.3423i −0.754556 + 1.30693i
\(377\) 28.7688 14.4536i 1.48167 0.744401i
\(378\) 0.0831765 + 0.0140037i 0.00427814 + 0.000720271i
\(379\) 31.4375i 1.61483i −0.589981 0.807417i \(-0.700865\pi\)
0.589981 0.807417i \(-0.299135\pi\)
\(380\) 0.0142003 0.0245957i 0.000728462 0.00126173i
\(381\) 31.1563 9.41521i 1.59619 0.482356i
\(382\) −25.9188 + 14.9642i −1.32612 + 0.765636i
\(383\) −23.3236 + 13.4659i −1.19178 + 0.688074i −0.958710 0.284386i \(-0.908210\pi\)
−0.233069 + 0.972460i \(0.574877\pi\)
\(384\) 19.1463 + 4.48564i 0.977056 + 0.228907i
\(385\) 0.0367930 + 0.0212424i 0.00187515 + 0.00108262i
\(386\) 0.344624 0.0175409
\(387\) 0.216858 + 3.41940i 0.0110235 + 0.173818i
\(388\) 0 2.20130e-5i 0 1.11754e-6i
\(389\) 9.70578 16.8109i 0.492103 0.852347i −0.507856 0.861442i \(-0.669562\pi\)
0.999959 + 0.00909505i \(0.00289508\pi\)
\(390\) 8.47756 + 2.51283i 0.429278 + 0.127242i
\(391\) −11.2536 19.4918i −0.569118 0.985742i
\(392\) 17.1259 9.88764i 0.864988 0.499401i
\(393\) −3.74223 3.51242i −0.188771 0.177178i
\(394\) 13.0068 22.5285i 0.655275 1.13497i
\(395\) 0.753826i 0.0379291i
\(396\) −0.0289489 0.0435240i −0.00145474 0.00218716i
\(397\) 16.7410i 0.840208i 0.907476 + 0.420104i \(0.138006\pi\)
−0.907476 + 0.420104i \(0.861994\pi\)
\(398\) 16.3908 + 9.46325i 0.821598 + 0.474350i
\(399\) −0.0273597 + 0.116781i −0.00136970 + 0.00584635i
\(400\) −2.00469 3.47223i −0.100235 0.173611i
\(401\) −5.03467 + 2.90677i −0.251420 + 0.145157i −0.620414 0.784274i \(-0.713035\pi\)
0.368995 + 0.929432i \(0.379702\pi\)
\(402\) −22.6953 + 6.85834i −1.13194 + 0.342063i
\(403\) −23.7933 1.38222i −1.18523 0.0688533i
\(404\) −0.00941913 −0.000468619
\(405\) −1.13699 8.92789i −0.0564973 0.443631i
\(406\) −0.144948 −0.00719364
\(407\) −8.38209 + 14.5182i −0.415485 + 0.719641i
\(408\) 6.58045 + 21.7757i 0.325781 + 1.07806i
\(409\) −14.1966 + 8.19644i −0.701979 + 0.405288i −0.808084 0.589067i \(-0.799495\pi\)
0.106105 + 0.994355i \(0.466162\pi\)
\(410\) 4.90241 2.83041i 0.242113 0.139784i
\(411\) 33.2689 + 7.79432i 1.64103 + 0.384465i
\(412\) −0.0381944 + 0.0661547i −0.00188171 + 0.00325921i
\(413\) 0.0157898 0.000776964
\(414\) 11.3887 + 17.1227i 0.559723 + 0.841532i
\(415\) −8.47464 −0.416004
\(416\) 0.0957397 + 0.00556178i 0.00469402 + 0.000272689i
\(417\) 22.8652 + 21.4610i 1.11971 + 1.05095i
\(418\) 27.4459 15.8459i 1.34242 0.775049i
\(419\) 12.1069 + 20.9698i 0.591462 + 1.02444i 0.994036 + 0.109055i \(0.0347823\pi\)
−0.402574 + 0.915388i \(0.631884\pi\)
\(420\) −6.80790e−5 0 6.38982e-5i −3.32191e−6 0 3.11791e-6i
\(421\) 27.4941 + 15.8737i 1.33998 + 0.773638i 0.986804 0.161919i \(-0.0517684\pi\)
0.353176 + 0.935557i \(0.385102\pi\)
\(422\) 22.8611i 1.11286i
\(423\) 31.0122 1.96679i 1.50786 0.0956286i
\(424\) 6.71699i 0.326206i
\(425\) 2.32447 4.02611i 0.112754 0.195295i
\(426\) 3.24198 13.8379i 0.157074 0.670448i
\(427\) 0.0861493 0.0497383i 0.00416906 0.00240701i
\(428\) −0.00531193 0.00920054i −0.000256762 0.000444725i
\(429\) 15.9270 + 16.7896i 0.768962 + 0.810609i
\(430\) 0.808527 1.40041i 0.0389907 0.0675338i
\(431\) 17.8910i 0.861777i −0.902405 0.430888i \(-0.858200\pi\)
0.902405 0.430888i \(-0.141800\pi\)
\(432\) −7.27666 19.5212i −0.350099 0.939216i
\(433\) −25.4679 −1.22391 −0.611955 0.790892i \(-0.709617\pi\)
−0.611955 + 0.790892i \(0.709617\pi\)
\(434\) 0.0929252 + 0.0536504i 0.00446055 + 0.00257530i
\(435\) 4.47396 + 14.8050i 0.214510 + 0.709846i
\(436\) 0.0339944 0.0196267i 0.00162804 0.000939949i
\(437\) −25.3249 + 14.6213i −1.21145 + 0.699433i
\(438\) −1.10350 + 4.71013i −0.0527273 + 0.225059i
\(439\) 3.31068 5.73426i 0.158010 0.273681i −0.776141 0.630559i \(-0.782825\pi\)
0.934151 + 0.356878i \(0.116159\pi\)
\(440\) 10.4690i 0.499089i
\(441\) −18.8143 9.32770i −0.895919 0.444176i
\(442\) 10.6545 + 21.2069i 0.506783 + 1.00871i
\(443\) −8.33283 + 14.4329i −0.395905 + 0.685727i −0.993216 0.116282i \(-0.962902\pi\)
0.597312 + 0.802009i \(0.296236\pi\)
\(444\) 0.0252137 0.0268634i 0.00119659 0.00127488i
\(445\) 1.78466 + 3.09113i 0.0846012 + 0.146534i
\(446\) 15.5396 + 26.9154i 0.735823 + 1.27448i
\(447\) −14.2861 + 15.2208i −0.675707 + 0.719918i
\(448\) 0.0792422 + 0.0457505i 0.00374384 + 0.00216151i
\(449\) 5.30273i 0.250251i −0.992141 0.125126i \(-0.960067\pi\)
0.992141 0.125126i \(-0.0399334\pi\)
\(450\) −1.88673 + 3.80560i −0.0889412 + 0.179398i
\(451\) 14.8158 0.697650
\(452\) −0.0209705 + 0.0363219i −0.000986369 + 0.00170844i
\(453\) 32.7104 + 7.66348i 1.53687 + 0.360062i
\(454\) −0.638275 1.10553i −0.0299557 0.0518849i
\(455\) 0.0345396 + 0.0227097i 0.00161924 + 0.00106464i
\(456\) 28.2923 8.54971i 1.32491 0.400377i
\(457\) 29.4541 + 17.0053i 1.37780 + 0.795476i 0.991895 0.127061i \(-0.0405544\pi\)
0.385909 + 0.922537i \(0.373888\pi\)
\(458\) 2.44731 0.114355
\(459\) 15.3840 18.6246i 0.718062 0.869323i
\(460\) 0.0227638i 0.00106137i
\(461\) −2.59939 1.50076i −0.121066 0.0698972i 0.438244 0.898856i \(-0.355600\pi\)
−0.559310 + 0.828959i \(0.688934\pi\)
\(462\) −0.0301389 0.0997342i −0.00140219 0.00464005i
\(463\) 25.6151 14.7889i 1.19044 0.687298i 0.232030 0.972709i \(-0.425463\pi\)
0.958405 + 0.285411i \(0.0921300\pi\)
\(464\) 17.9008 + 31.0050i 0.831022 + 1.43937i
\(465\) 2.61163 11.1474i 0.121112 0.516947i
\(466\) −22.2991 12.8744i −1.03299 0.596396i
\(467\) 9.39049 0.434540 0.217270 0.976112i \(-0.430285\pi\)
0.217270 + 0.976112i \(0.430285\pi\)
\(468\) −0.0256631 0.0439099i −0.00118628 0.00202974i
\(469\) −0.110838 −0.00511803
\(470\) −12.7010 7.33293i −0.585854 0.338243i
\(471\) 21.0985 + 19.8028i 0.972167 + 0.912465i
\(472\) −1.94543 3.36958i −0.0895456 0.155098i
\(473\) 3.66524 2.11612i 0.168528 0.0972995i
\(474\) 1.26515 1.34793i 0.0581104 0.0619125i
\(475\) −5.23096 3.02010i −0.240013 0.138572i
\(476\) 0 0.000250608i 0 1.14866e-5i
\(477\) 5.93912 3.95025i 0.271933 0.180869i
\(478\) −21.0794 −0.964151
\(479\) −4.16324 2.40365i −0.190223 0.109825i 0.401864 0.915699i \(-0.368363\pi\)
−0.592087 + 0.805874i \(0.701696\pi\)
\(480\) −0.0105087 + 0.0448548i −0.000479654 + 0.00204733i
\(481\) −8.96103 + 13.6290i −0.408588 + 0.621431i
\(482\) 6.57644 + 11.3907i 0.299549 + 0.518833i
\(483\) 0.0278098 + 0.0920267i 0.00126539 + 0.00418736i
\(484\) −0.00642354 + 0.0111259i −0.000291979 + 0.000505722i
\(485\) −0.00468168 −0.000212584
\(486\) −12.9507 + 17.8724i −0.587456 + 0.810707i
\(487\) 3.65883i 0.165797i 0.996558 + 0.0828987i \(0.0264178\pi\)
−0.996558 + 0.0828987i \(0.973582\pi\)
\(488\) −21.2286 12.2563i −0.960974 0.554818i
\(489\) 3.51161 + 11.6205i 0.158801 + 0.525495i
\(490\) 4.95547 + 8.58312i 0.223865 + 0.387746i
\(491\) −1.64741 2.85340i −0.0743467 0.128772i 0.826455 0.563002i \(-0.190354\pi\)
−0.900802 + 0.434230i \(0.857020\pi\)
\(492\) −0.0317022 0.00742727i −0.00142925 0.000334847i
\(493\) −20.7562 + 35.9509i −0.934814 + 1.61915i
\(494\) 27.5533 13.8430i 1.23968 0.622825i
\(495\) −9.25660 + 6.15679i −0.416053 + 0.276727i
\(496\) 26.5028i 1.19001i
\(497\) 0.0332216 0.0575416i 0.00149019 0.00258109i
\(498\) 15.1537 + 14.2231i 0.679053 + 0.637351i
\(499\) −12.0212 + 6.94041i −0.538141 + 0.310696i −0.744325 0.667818i \(-0.767229\pi\)
0.206184 + 0.978513i \(0.433895\pi\)
\(500\) 0.00407201 0.00235097i 0.000182106 0.000105139i
\(501\) 21.2082 22.5958i 0.947513 1.00951i
\(502\) 4.17776 + 2.41203i 0.186463 + 0.107654i
\(503\) −14.3269 −0.638806 −0.319403 0.947619i \(-0.603482\pi\)
−0.319403 + 0.947619i \(0.603482\pi\)
\(504\) −0.00614994 0.0969718i −0.000273940 0.00431947i
\(505\) 2.00324i 0.0891430i
\(506\) 12.7008 21.9985i 0.564621 0.977953i
\(507\) 14.5230 + 17.2070i 0.644990 + 0.764191i
\(508\) 0.0441784 + 0.0765192i 0.00196010 + 0.00339499i
\(509\) −20.2696 + 11.7027i −0.898434 + 0.518711i −0.876692 0.481052i \(-0.840255\pi\)
−0.0217423 + 0.999764i \(0.506921\pi\)
\(510\) −10.9135 + 3.29798i −0.483258 + 0.146037i
\(511\) −0.0113079 + 0.0195859i −0.000500234 + 0.000866431i
\(512\) 22.5471i 0.996451i
\(513\) −24.1982 19.9878i −1.06838 0.882482i
\(514\) 42.7426i 1.88530i
\(515\) 14.0696 + 8.12311i 0.619983 + 0.357947i
\(516\) −0.00890353 + 0.00269058i −0.000391956 + 0.000118446i
\(517\) −19.1922 33.2418i −0.844071 1.46197i
\(518\) 0.0635960 0.0367171i 0.00279425 0.00161326i
\(519\) 10.2378 43.6985i 0.449389 1.91815i
\(520\) 0.590738 10.1689i 0.0259056 0.445935i
\(521\) −40.3139 −1.76619 −0.883093 0.469198i \(-0.844543\pi\)
−0.883093 + 0.469198i \(0.844543\pi\)
\(522\) 16.8474 33.9818i 0.737391 1.48734i
\(523\) −20.3832 −0.891297 −0.445648 0.895208i \(-0.647027\pi\)
−0.445648 + 0.895208i \(0.647027\pi\)
\(524\) 0.00696637 0.0120661i 0.000304327 0.000527110i
\(525\) −0.0135897 + 0.0144789i −0.000593104 + 0.000631910i
\(526\) 23.2592 13.4287i 1.01415 0.585520i
\(527\) 26.6134 15.3652i 1.15930 0.669321i
\(528\) −17.6115 + 18.7638i −0.766442 + 0.816590i
\(529\) −0.219320 + 0.379874i −0.00953567 + 0.0165163i
\(530\) −3.36641 −0.146227
\(531\) −1.83526 + 3.70178i −0.0796434 + 0.160644i
\(532\) −0.000325606 0 −1.41168e−5 0
\(533\) 14.3911 + 0.836020i 0.623348 + 0.0362120i
\(534\) 1.99668 8.52254i 0.0864048 0.368806i
\(535\) −1.95675 + 1.12973i −0.0845977 + 0.0488425i
\(536\) 13.6562 + 23.6532i 0.589857 + 1.02166i
\(537\) 6.02483 1.82066i 0.259991 0.0785672i
\(538\) −4.23496 2.44505i −0.182582 0.105414i
\(539\) 25.9395i 1.11729i
\(540\) 0.0228933 0.00853361i 0.000985169 0.000367228i
\(541\) 12.9137i 0.555204i 0.960696 + 0.277602i \(0.0895396\pi\)
−0.960696 + 0.277602i \(0.910460\pi\)
\(542\) 9.62783 16.6759i 0.413551 0.716291i
\(543\) −14.9776 + 4.52612i −0.642751 + 0.194234i
\(544\) −0.107087 + 0.0618268i −0.00459132 + 0.00265080i
\(545\) −4.17416 7.22987i −0.178802 0.309693i
\(546\) −0.0236472 0.0985759i −0.00101201 0.00421866i
\(547\) −3.77468 + 6.53794i −0.161394 + 0.279542i −0.935369 0.353674i \(-0.884932\pi\)
0.773975 + 0.633216i \(0.218266\pi\)
\(548\) 0.0927595i 0.00396249i
\(549\) 1.64753 + 25.9781i 0.0703149 + 1.10872i
\(550\) 5.24682 0.223725
\(551\) 46.7095 + 26.9678i 1.98989 + 1.14887i
\(552\) 16.2124 17.2731i 0.690044 0.735193i
\(553\) 0.00748453 0.00432120i 0.000318275 0.000183756i
\(554\) 9.37850 5.41468i 0.398454 0.230048i
\(555\) −5.71325 5.36239i −0.242514 0.227621i
\(556\) −0.0425648 + 0.0737244i −0.00180515 + 0.00312661i
\(557\) 19.3602i 0.820318i 0.912014 + 0.410159i \(0.134527\pi\)
−0.912014 + 0.410159i \(0.865473\pi\)
\(558\) −23.3787 + 15.5497i −0.989697 + 0.658272i
\(559\) 3.67958 1.84864i 0.155629 0.0781893i
\(560\) −0.0229832 + 0.0398081i −0.000971218 + 0.00168220i
\(561\) −29.0525 6.80649i −1.22660 0.287370i
\(562\) 15.9593 + 27.6424i 0.673204 + 1.16602i
\(563\) 15.2746 + 26.4563i 0.643746 + 1.11500i 0.984590 + 0.174880i \(0.0559539\pi\)
−0.340844 + 0.940120i \(0.610713\pi\)
\(564\) 0.0244022 + 0.0807505i 0.00102752 + 0.00340021i
\(565\) 7.72487 + 4.45996i 0.324988 + 0.187632i
\(566\) 0.627175i 0.0263621i
\(567\) −0.0821250 + 0.0624667i −0.00344893 + 0.00262335i
\(568\) −16.3727 −0.686984
\(569\) −23.1980 + 40.1802i −0.972512 + 1.68444i −0.284601 + 0.958646i \(0.591861\pi\)
−0.687911 + 0.725795i \(0.741472\pi\)
\(570\) 4.28493 + 14.1795i 0.179476 + 0.593913i
\(571\) −3.72019 6.44356i −0.155685 0.269655i 0.777623 0.628731i \(-0.216425\pi\)
−0.933308 + 0.359076i \(0.883092\pi\)
\(572\) −0.0345141 + 0.0524933i −0.00144311 + 0.00219485i
\(573\) 8.35134 35.6465i 0.348882 1.48915i
\(574\) −0.0562047 0.0324498i −0.00234594 0.00135443i
\(575\) −4.84135 −0.201898
\(576\) −19.9362 + 13.2601i −0.830676 + 0.552503i
\(577\) 18.5451i 0.772042i −0.922490 0.386021i \(-0.873849\pi\)
0.922490 0.386021i \(-0.126151\pi\)
\(578\) −5.65605 3.26552i −0.235261 0.135828i
\(579\) −0.288515 + 0.307392i −0.0119903 + 0.0127748i
\(580\) −0.0363607 + 0.0209929i −0.00150980 + 0.000871681i
\(581\) 0.0485796 + 0.0841424i 0.00201542 + 0.00349081i
\(582\) 0.00837141 + 0.00785732i 0.000347006 + 0.000325696i
\(583\) −7.63034 4.40538i −0.316017 0.182452i
\(584\) 5.57293 0.230609
\(585\) −9.33866 + 5.45797i −0.386106 + 0.225659i
\(586\) 0.215491 0.00890185
\(587\) −13.2268 7.63650i −0.545929 0.315192i 0.201550 0.979478i \(-0.435402\pi\)
−0.747478 + 0.664286i \(0.768736\pi\)
\(588\) 0.0130036 0.0555041i 0.000536261 0.00228895i
\(589\) −19.9635 34.5777i −0.822580 1.42475i
\(590\) 1.68876 0.975007i 0.0695252 0.0401404i
\(591\) 9.20545 + 30.4622i 0.378661 + 1.25305i
\(592\) −15.7079 9.06898i −0.645592 0.372733i
\(593\) 15.5028i 0.636624i 0.947986 + 0.318312i \(0.103116\pi\)
−0.947986 + 0.318312i \(0.896884\pi\)
\(594\) 26.8849 + 4.52637i 1.10310 + 0.185719i
\(595\) −0.0532989 −0.00218504
\(596\) −0.0490764 0.0283343i −0.00201025 0.00116062i
\(597\) −22.1631 + 6.69751i −0.907074 + 0.274111i
\(598\) 13.5781 20.6512i 0.555249 0.844491i
\(599\) −23.4811 40.6704i −0.959410 1.66175i −0.723936 0.689867i \(-0.757669\pi\)
−0.235474 0.971881i \(-0.575664\pi\)
\(600\) 4.76420 + 1.11617i 0.194498 + 0.0455674i
\(601\) 9.90852 17.1621i 0.404177 0.700055i −0.590048 0.807368i \(-0.700891\pi\)
0.994225 + 0.107313i \(0.0342247\pi\)
\(602\) −0.0185391 −0.000755596
\(603\) 12.8828 25.9851i 0.524629 1.05819i
\(604\) 0.0912024i 0.00371097i
\(605\) 2.36623 + 1.36614i 0.0962009 + 0.0555416i
\(606\) 3.36206 3.58204i 0.136574 0.145510i
\(607\) 9.73052 + 16.8538i 0.394950 + 0.684073i 0.993095 0.117315i \(-0.0374287\pi\)
−0.598145 + 0.801388i \(0.704095\pi\)
\(608\) 0.0803291 + 0.139134i 0.00325777 + 0.00564263i
\(609\) 0.121349 0.129288i 0.00491729 0.00523903i
\(610\) 6.14261 10.6393i 0.248707 0.430773i
\(611\) −16.7663 33.3719i −0.678291 1.35008i
\(612\) 0.0587530 + 0.0291284i 0.00237495 + 0.00117745i
\(613\) 35.8156i 1.44658i 0.690546 + 0.723288i \(0.257370\pi\)
−0.690546 + 0.723288i \(0.742630\pi\)
\(614\) 8.65187 14.9855i 0.349161 0.604765i
\(615\) −1.57962 + 6.74236i −0.0636963 + 0.271878i
\(616\) −0.103944 + 0.0600119i −0.00418801 + 0.00241795i
\(617\) −7.87734 + 4.54798i −0.317130 + 0.183095i −0.650112 0.759838i \(-0.725278\pi\)
0.332983 + 0.942933i \(0.391945\pi\)
\(618\) −11.5251 38.1383i −0.463608 1.53415i
\(619\) −4.43877 2.56273i −0.178409 0.103005i 0.408136 0.912921i \(-0.366179\pi\)
−0.586545 + 0.809917i \(0.699512\pi\)
\(620\) 0.0310808 0.00124824
\(621\) −24.8072 4.17657i −0.995481 0.167600i
\(622\) 41.0704i 1.64677i
\(623\) 0.0204607 0.0354389i 0.000819739 0.00141983i
\(624\) −18.1654 + 17.2322i −0.727200 + 0.689838i
\(625\) −0.500000 0.866025i −0.0200000 0.0346410i
\(626\) −32.9284 + 19.0112i −1.31608 + 0.759840i
\(627\) −8.84340 + 37.7468i −0.353172 + 1.50746i
\(628\) −0.0392760 + 0.0680280i −0.00156728 + 0.00271461i
\(629\) 21.0313i 0.838572i
\(630\) 0.0486002 0.00308222i 0.00193628 0.000122798i
\(631\) 44.9471i 1.78931i −0.446753 0.894657i \(-0.647420\pi\)
0.446753 0.894657i \(-0.352580\pi\)
\(632\) −1.84431 1.06481i −0.0733628 0.0423560i
\(633\) −20.3913 19.1390i −0.810481 0.760708i
\(634\) 21.9468 + 38.0129i 0.871617 + 1.50969i
\(635\) 16.2739 9.39576i 0.645811 0.372859i
\(636\) 0.0141186 + 0.0132516i 0.000559839 + 0.000525459i
\(637\) −1.46370 + 25.1959i −0.0579939 + 0.998298i
\(638\) −46.8512 −1.85485
\(639\) 9.62876 + 14.4766i 0.380908 + 0.572687i
\(640\) 11.3534 0.448784
\(641\) 8.58775 14.8744i 0.339196 0.587504i −0.645086 0.764110i \(-0.723178\pi\)
0.984282 + 0.176606i \(0.0565118\pi\)
\(642\) 5.39495 + 1.26394i 0.212922 + 0.0498838i
\(643\) 22.8056 13.1668i 0.899366 0.519249i 0.0223716 0.999750i \(-0.492878\pi\)
0.876994 + 0.480500i \(0.159545\pi\)
\(644\) −0.000226015 0 0.000130490i −8.90625e−6 0 5.14202e-6i
\(645\) 0.572226 + 1.89358i 0.0225314 + 0.0745598i
\(646\) −19.8793 + 34.4319i −0.782140 + 1.35471i
\(647\) 8.35488 0.328464 0.164232 0.986422i \(-0.447485\pi\)
0.164232 + 0.986422i \(0.447485\pi\)
\(648\) 23.4490 + 9.82931i 0.921165 + 0.386132i
\(649\) 5.10369 0.200337
\(650\) 5.09642 + 0.296065i 0.199898 + 0.0116126i
\(651\) −0.125650 + 0.0379705i −0.00492461 + 0.00148818i
\(652\) −0.0285395 + 0.0164773i −0.00111769 + 0.000645301i
\(653\) −9.65746 16.7272i −0.377926 0.654587i 0.612835 0.790211i \(-0.290029\pi\)
−0.990760 + 0.135625i \(0.956696\pi\)
\(654\) −4.67005 + 19.9334i −0.182613 + 0.779459i
\(655\) −2.56619 1.48159i −0.100269 0.0578906i
\(656\) 16.0299i 0.625864i
\(657\) −3.27743 4.92754i −0.127865 0.192242i
\(658\) 0.168140i 0.00655478i
\(659\) 4.11302 7.12397i 0.160221 0.277510i −0.774727 0.632296i \(-0.782113\pi\)
0.934948 + 0.354785i \(0.115446\pi\)
\(660\) −0.0220050 0.0206536i −0.000856543 0.000803942i
\(661\) −15.8360 + 9.14292i −0.615949 + 0.355618i −0.775290 0.631605i \(-0.782396\pi\)
0.159341 + 0.987224i \(0.449063\pi\)
\(662\) −20.5458 35.5864i −0.798536 1.38311i
\(663\) −27.8356 8.25074i −1.08105 0.320432i
\(664\) 11.9708 20.7341i 0.464558 0.804638i
\(665\) 0.0692491i 0.00268536i
\(666\) 1.21622 + 19.1772i 0.0471274 + 0.743102i
\(667\) 43.2305 1.67389
\(668\) 0.0728559 + 0.0420634i 0.00281888 + 0.00162748i
\(669\) −37.0172 8.67247i −1.43117 0.335297i
\(670\) −11.8545 + 6.84418i −0.457978 + 0.264414i
\(671\) 27.8458 16.0768i 1.07498 0.620638i
\(672\) 0.000505591 0 0.000152786i 1.95036e−5 0 5.89384e-6i
\(673\) 6.31801 10.9431i 0.243542 0.421826i −0.718179 0.695858i \(-0.755024\pi\)
0.961721 + 0.274032i \(0.0883574\pi\)
\(674\) 22.7951i 0.878033i
\(675\) −1.81491 4.86889i −0.0698559 0.187404i
\(676\) −0.0364868 + 0.0490410i −0.00140334 + 0.00188619i
\(677\) 1.00014 1.73230i 0.0384386 0.0665775i −0.846166 0.532919i \(-0.821095\pi\)
0.884605 + 0.466342i \(0.154428\pi\)
\(678\) −6.32781 20.9397i −0.243018 0.804184i
\(679\) 2.68371e−5 0 4.64832e-5i 1.02991e−6 0 1.78386e-6i
\(680\) 6.56686 + 11.3741i 0.251827 + 0.436178i
\(681\) 1.52044 + 0.356213i 0.0582636 + 0.0136501i
\(682\) 30.0360 + 17.3413i 1.15014 + 0.664032i
\(683\) 11.3285i 0.433475i 0.976230 + 0.216737i \(0.0695415\pi\)
−0.976230 + 0.216737i \(0.930458\pi\)
\(684\) 0.0378454 0.0763355i 0.00144706 0.00291876i
\(685\) 19.7279 0.753764
\(686\) 0.113627 0.196808i 0.00433830 0.00751416i
\(687\) −2.04886 + 2.18291i −0.0781688 + 0.0832833i
\(688\) 2.28953 + 3.96559i 0.0872877 + 0.151187i
\(689\) −7.16303 4.70966i −0.272890 0.179424i
\(690\) 8.65692 + 8.12529i 0.329563 + 0.309324i
\(691\) 15.1112 + 8.72447i 0.574858 + 0.331895i 0.759087 0.650989i \(-0.225646\pi\)
−0.184229 + 0.982883i \(0.558979\pi\)
\(692\) 0.121839 0.00463163
\(693\) 0.114191 + 0.0566134i 0.00433776 + 0.00215056i
\(694\) 17.5023i 0.664379i
\(695\) 15.6796 + 9.05260i 0.594759 + 0.343385i
\(696\) −42.5416 9.96675i −1.61254 0.377789i
\(697\) −16.0968 + 9.29349i −0.609710 + 0.352016i
\(698\) −0.790008 1.36833i −0.0299022 0.0517922i
\(699\) 30.1521 9.11172i 1.14046 0.344637i
\(700\) −4.66844e−5 0 2.69532e-5i −1.76450e−6 0 1.01874e-6i
\(701\) −14.9281 −0.563828 −0.281914 0.959440i \(-0.590969\pi\)
−0.281914 + 0.959440i \(0.590969\pi\)
\(702\) 25.8588 + 5.91367i 0.975979 + 0.223197i
\(703\) −27.3251 −1.03059
\(704\) 25.6133 + 14.7878i 0.965336 + 0.557337i
\(705\) 17.1738 5.18980i 0.646804 0.195459i
\(706\) 10.9787 + 19.0156i 0.413188 + 0.715662i
\(707\) 0.0198896 0.0114833i 0.000748027 0.000431873i
\(708\) −0.0109206 0.00255851i −0.000410423 9.61548e-5i
\(709\) 28.4274 + 16.4125i 1.06761 + 0.616386i 0.927528 0.373753i \(-0.121929\pi\)
0.140084 + 0.990140i \(0.455263\pi\)
\(710\) 8.20565i 0.307952i
\(711\) 0.143135 + 2.25694i 0.00536799 + 0.0846420i
\(712\) −10.0837 −0.377902
\(713\) −27.7148 16.0011i −1.03793 0.599247i
\(714\) 0.0953048 + 0.0894521i 0.00356669 + 0.00334766i
\(715\) 11.1642 + 7.34038i 0.417516 + 0.274515i
\(716\) 0.00854296 + 0.0147968i 0.000319265 + 0.000552984i
\(717\) 17.6474 18.8021i 0.659055 0.702177i
\(718\) 18.1552 31.4457i 0.677545 1.17354i
\(719\) 26.2659 0.979554 0.489777 0.871848i \(-0.337078\pi\)
0.489777 + 0.871848i \(0.337078\pi\)
\(720\) −6.66131 10.0151i −0.248253 0.373242i
\(721\) 0.186258i 0.00693662i
\(722\) 21.4385 + 12.3775i 0.797860 + 0.460644i
\(723\) −15.6658 3.67023i −0.582618 0.136497i
\(724\) −0.0212376 0.0367846i −0.000789290 0.00136709i
\(725\) 4.46472 + 7.73312i 0.165815 + 0.287201i
\(726\) −1.93829 6.41410i −0.0719368 0.238050i
\(727\) −14.8130 + 25.6568i −0.549382 + 0.951558i 0.448935 + 0.893565i \(0.351804\pi\)
−0.998317 + 0.0579934i \(0.981530\pi\)
\(728\) −0.104350 + 0.0524263i −0.00386748 + 0.00194305i
\(729\) −5.09933 26.5141i −0.188864 0.982003i
\(730\) 2.79303i 0.103375i
\(731\) −2.65476 + 4.59817i −0.0981897 + 0.170070i
\(732\) −0.0676426 + 0.0204411i −0.00250014 + 0.000755524i
\(733\) −40.5515 + 23.4124i −1.49780 + 0.864758i −0.999997 0.00253007i \(-0.999195\pi\)
−0.497807 + 0.867288i \(0.665861\pi\)
\(734\) −22.5568 + 13.0232i −0.832587 + 0.480694i
\(735\) −11.8045 2.76559i −0.435415 0.102010i
\(736\) 0.111519 + 0.0643855i 0.00411064 + 0.00237328i
\(737\) −35.8259 −1.31967
\(738\) 14.1403 9.40506i 0.520512 0.346205i
\(739\) 9.80336i 0.360622i 0.983610 + 0.180311i \(0.0577105\pi\)
−0.983610 + 0.180311i \(0.942290\pi\)
\(740\) 0.0106355 0.0184213i 0.000390969 0.000677179i
\(741\) −10.7199 + 36.1657i −0.393804 + 1.32858i
\(742\) 0.0192975 + 0.0334242i 0.000708432 + 0.00122704i
\(743\) 3.08670 1.78211i 0.113240 0.0653792i −0.442310 0.896862i \(-0.645841\pi\)
0.555550 + 0.831483i \(0.312508\pi\)
\(744\) 23.5841 + 22.1358i 0.864635 + 0.811537i
\(745\) −6.02608 + 10.4375i −0.220778 + 0.382399i
\(746\) 21.2300i 0.777287i
\(747\) −25.3729 + 1.60915i −0.928347 + 0.0588757i
\(748\) 0.0810035i 0.00296178i
\(749\) 0.0224336 + 0.0129520i 0.000819705 + 0.000473257i
\(750\) −0.559399 + 2.38771i −0.0204264 + 0.0871870i
\(751\) −7.98664 13.8333i −0.291437 0.504783i 0.682713 0.730687i \(-0.260800\pi\)
−0.974150 + 0.225904i \(0.927467\pi\)
\(752\) 35.9659 20.7649i 1.31154 0.757219i
\(753\) −5.64901 + 1.70709i −0.205862 + 0.0622098i
\(754\) −45.5081 2.64369i −1.65731 0.0962777i
\(755\) 19.3967 0.705920
\(756\) −0.000215960 0 0.000178383i −7.85440e−6 0 6.48774e-6i
\(757\) −5.47878 −0.199130 −0.0995648 0.995031i \(-0.531745\pi\)
−0.0995648 + 0.995031i \(0.531745\pi\)
\(758\) −22.2558 + 38.5481i −0.808366 + 1.40013i
\(759\) 8.98888 + 29.7456i 0.326276 + 1.07970i
\(760\) 14.7780 8.53205i 0.536053 0.309490i
\(761\) −24.3314 + 14.0478i −0.882013 + 0.509231i −0.871322 0.490712i \(-0.836737\pi\)
−0.0106917 + 0.999943i \(0.503403\pi\)
\(762\) −44.8688 10.5120i −1.62542 0.380808i
\(763\) −0.0478556 + 0.0828883i −0.00173249 + 0.00300076i
\(764\) 0.0993886 0.00359575
\(765\) 6.19497 12.4955i 0.223980 0.451775i
\(766\) 38.1320 1.37776
\(767\) 4.95739 + 0.287988i 0.179001 + 0.0103987i
\(768\) −0.142514 0.133762i −0.00514254 0.00482674i
\(769\) 6.60502 3.81341i 0.238183 0.137515i −0.376158 0.926555i \(-0.622755\pi\)
0.614341 + 0.789040i \(0.289422\pi\)
\(770\) −0.0300767 0.0520943i −0.00108389 0.00187735i
\(771\) −38.1249 35.7836i −1.37303 1.28872i
\(772\) −0.000991126 0 0.000572227i −3.56714e−5 0 2.05949e-5i
\(773\) 40.5127i 1.45714i 0.684971 + 0.728570i \(0.259815\pi\)
−0.684971 + 0.728570i \(0.740185\pi\)