Properties

Label 483.2.bf.a.10.26
Level $483$
Weight $2$
Character 483.10
Analytic conductor $3.857$
Analytic rank $0$
Dimension $640$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 483 = 3 \cdot 7 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 483.bf (of order \(66\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.85677441763\)
Analytic rank: \(0\)
Dimension: \(640\)
Relative dimension: \(32\) over \(\Q(\zeta_{66})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{66}]$

Embedding invariants

Embedding label 10.26
Character \(\chi\) \(=\) 483.10
Dual form 483.2.bf.a.145.26

$q$-expansion

\(f(q)\) \(=\) \(q+(0.571977 - 1.65262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.831885 - 0.654202i) q^{4} +(-0.0705413 + 0.00673588i) q^{5} +(-1.73100 + 0.248880i) q^{6} +(0.803186 - 2.52089i) q^{7} +(1.38541 - 0.890346i) q^{8} +(-0.580057 + 0.814576i) q^{9} +O(q^{10})\) \(q+(0.571977 - 1.65262i) q^{2} +(-0.458227 - 0.888835i) q^{3} +(-0.831885 - 0.654202i) q^{4} +(-0.0705413 + 0.00673588i) q^{5} +(-1.73100 + 0.248880i) q^{6} +(0.803186 - 2.52089i) q^{7} +(1.38541 - 0.890346i) q^{8} +(-0.580057 + 0.814576i) q^{9} +(-0.0292162 + 0.120431i) q^{10} +(4.41243 - 1.52716i) q^{11} +(-0.200286 + 1.03918i) q^{12} +(0.351518 + 1.19716i) q^{13} +(-3.70667 - 2.76925i) q^{14} +(0.0383110 + 0.0596131i) q^{15} +(-1.17799 - 4.85575i) q^{16} +(-3.02630 - 1.21155i) q^{17} +(1.01440 + 1.42453i) q^{18} +(-3.72189 + 1.49002i) q^{19} +(0.0630889 + 0.0405448i) q^{20} +(-2.60870 + 0.441239i) q^{21} -8.16556i q^{22} +(-1.12811 + 4.66126i) q^{23} +(-1.42620 - 0.823417i) q^{24} +(-4.90471 + 0.945306i) q^{25} +(2.17951 + 0.103823i) q^{26} +(0.989821 + 0.142315i) q^{27} +(-2.31733 + 1.57165i) q^{28} +(-0.615151 - 4.27847i) q^{29} +(0.120431 - 0.0292162i) q^{30} +(-0.962215 + 0.0458359i) q^{31} +(-5.41974 - 0.517522i) q^{32} +(-3.37928 - 3.22214i) q^{33} +(-3.73320 + 4.30834i) q^{34} +(-0.0396774 + 0.183237i) q^{35} +(1.01544 - 0.298159i) q^{36} +(2.76191 + 1.96675i) q^{37} +(0.333600 + 7.00313i) q^{38} +(0.903005 - 0.861013i) q^{39} +(-0.0917311 + 0.0721381i) q^{40} +(9.24386 + 4.22153i) q^{41} +(-0.762915 + 4.56356i) q^{42} +(5.80251 - 9.02888i) q^{43} +(-4.66970 - 1.61620i) q^{44} +(0.0354311 - 0.0613685i) q^{45} +(7.05804 + 4.53047i) q^{46} +(1.47775 - 0.853178i) q^{47} +(-3.77618 + 3.27208i) q^{48} +(-5.70979 - 4.04949i) q^{49} +(-1.24315 + 8.64631i) q^{50} +(0.309864 + 3.24504i) q^{51} +(0.490762 - 1.22587i) q^{52} +(8.16665 + 8.56494i) q^{53} +(0.801347 - 1.55440i) q^{54} +(-0.300972 + 0.137449i) q^{55} +(-1.13173 - 4.20757i) q^{56} +(3.02985 + 2.62538i) q^{57} +(-7.42253 - 1.43057i) q^{58} +(6.83435 + 1.65800i) q^{59} +(0.00712863 - 0.0746544i) q^{60} +(-12.6147 - 6.50333i) q^{61} +(-0.474615 + 1.61639i) q^{62} +(1.58756 + 2.11652i) q^{63} +(0.196092 - 0.429381i) q^{64} +(-0.0328605 - 0.0820816i) q^{65} +(-7.25784 + 3.74167i) q^{66} +(1.66794 + 8.65410i) q^{67} +(1.72494 + 2.98768i) q^{68} +(4.66003 - 1.13321i) q^{69} +(0.280127 + 0.170379i) q^{70} +(3.54828 + 4.09493i) q^{71} +(-0.0783595 + 1.64497i) q^{72} +(-5.93209 + 7.54327i) q^{73} +(4.83004 - 3.43946i) q^{74} +(3.08769 + 3.92632i) q^{75} +(4.07096 + 1.19534i) q^{76} +(-0.305796 - 12.3498i) q^{77} +(-0.906429 - 1.98480i) q^{78} +(1.78164 - 1.86853i) q^{79} +(0.115805 + 0.334597i) q^{80} +(-0.327068 - 0.945001i) q^{81} +(12.2639 - 12.8620i) q^{82} +(6.10041 + 13.3580i) q^{83} +(2.45880 + 1.33955i) q^{84} +(0.221640 + 0.0650794i) q^{85} +(-11.6024 - 14.7536i) q^{86} +(-3.52097 + 2.50727i) q^{87} +(4.75330 - 6.04432i) q^{88} +(-0.172955 + 3.63078i) q^{89} +(-0.0811529 - 0.0936554i) q^{90} +(3.30025 + 0.0754034i) q^{91} +(3.98787 - 3.13962i) q^{92} +(0.481653 + 0.834247i) q^{93} +(-0.564740 - 2.93015i) q^{94} +(0.252511 - 0.130178i) q^{95} +(2.02348 + 5.05440i) q^{96} +(1.10887 - 2.42809i) q^{97} +(-9.95812 + 7.11989i) q^{98} +(-1.31547 + 4.48009i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9}+O(q^{10}) \) Copy content Toggle raw display \( 640 q - 4 q^{2} + 36 q^{4} + 24 q^{8} - 32 q^{9} + 4 q^{18} - 28 q^{23} + 56 q^{25} - 84 q^{26} - 176 q^{28} - 24 q^{29} + 12 q^{31} + 36 q^{32} - 76 q^{35} + 28 q^{36} + 44 q^{37} - 110 q^{42} - 88 q^{43} + 154 q^{44} + 8 q^{46} + 12 q^{47} - 8 q^{49} - 212 q^{50} + 44 q^{51} + 108 q^{52} - 110 q^{56} - 88 q^{57} + 2 q^{58} - 36 q^{59} - 168 q^{64} - 48 q^{70} + 16 q^{71} + 12 q^{72} - 48 q^{73} - 22 q^{74} + 48 q^{75} + 32 q^{78} - 44 q^{79} - 594 q^{80} + 32 q^{81} + 24 q^{82} + 352 q^{85} - 36 q^{87} - 330 q^{88} + 244 q^{92} - 24 q^{93} - 486 q^{94} - 154 q^{95} - 60 q^{96} - 24 q^{98} - 44 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).

\(n\) \(323\) \(346\) \(442\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{6}\right)\) \(e\left(\frac{3}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.571977 1.65262i 0.404449 1.16858i −0.540496 0.841347i \(-0.681763\pi\)
0.944944 0.327231i \(-0.106116\pi\)
\(3\) −0.458227 0.888835i −0.264557 0.513169i
\(4\) −0.831885 0.654202i −0.415943 0.327101i
\(5\) −0.0705413 + 0.00673588i −0.0315470 + 0.00301238i −0.110818 0.993841i \(-0.535347\pi\)
0.0792706 + 0.996853i \(0.474741\pi\)
\(6\) −1.73100 + 0.248880i −0.706678 + 0.101605i
\(7\) 0.803186 2.52089i 0.303576 0.952807i
\(8\) 1.38541 0.890346i 0.489815 0.314785i
\(9\) −0.580057 + 0.814576i −0.193352 + 0.271525i
\(10\) −0.0292162 + 0.120431i −0.00923896 + 0.0380835i
\(11\) 4.41243 1.52716i 1.33040 0.460455i 0.432886 0.901449i \(-0.357495\pi\)
0.897510 + 0.440994i \(0.145374\pi\)
\(12\) −0.200286 + 1.03918i −0.0578175 + 0.299986i
\(13\) 0.351518 + 1.19716i 0.0974937 + 0.332033i 0.993768 0.111467i \(-0.0355549\pi\)
−0.896274 + 0.443500i \(0.853737\pi\)
\(14\) −3.70667 2.76925i −0.990649 0.740114i
\(15\) 0.0383110 + 0.0596131i 0.00989186 + 0.0153920i
\(16\) −1.17799 4.85575i −0.294498 1.21394i
\(17\) −3.02630 1.21155i −0.733985 0.293843i −0.0256028 0.999672i \(-0.508151\pi\)
−0.708382 + 0.705829i \(0.750575\pi\)
\(18\) 1.01440 + 1.42453i 0.239097 + 0.335765i
\(19\) −3.72189 + 1.49002i −0.853861 + 0.341834i −0.756961 0.653460i \(-0.773317\pi\)
−0.0968996 + 0.995294i \(0.530893\pi\)
\(20\) 0.0630889 + 0.0405448i 0.0141071 + 0.00906609i
\(21\) −2.60870 + 0.441239i −0.569265 + 0.0962863i
\(22\) 8.16556i 1.74090i
\(23\) −1.12811 + 4.66126i −0.235227 + 0.971940i
\(24\) −1.42620 0.823417i −0.291122 0.168079i
\(25\) −4.90471 + 0.945306i −0.980943 + 0.189061i
\(26\) 2.17951 + 0.103823i 0.427438 + 0.0203614i
\(27\) 0.989821 + 0.142315i 0.190491 + 0.0273885i
\(28\) −2.31733 + 1.57165i −0.437934 + 0.297013i
\(29\) −0.615151 4.27847i −0.114231 0.794491i −0.963726 0.266895i \(-0.914002\pi\)
0.849495 0.527597i \(-0.176907\pi\)
\(30\) 0.120431 0.0292162i 0.0219875 0.00533412i
\(31\) −0.962215 + 0.0458359i −0.172819 + 0.00823238i −0.133813 0.991007i \(-0.542722\pi\)
−0.0390059 + 0.999239i \(0.512419\pi\)
\(32\) −5.41974 0.517522i −0.958084 0.0914859i
\(33\) −3.37928 3.22214i −0.588257 0.560902i
\(34\) −3.73320 + 4.30834i −0.640238 + 0.738874i
\(35\) −0.0396774 + 0.183237i −0.00670670 + 0.0309727i
\(36\) 1.01544 0.298159i 0.169240 0.0496932i
\(37\) 2.76191 + 1.96675i 0.454056 + 0.323332i 0.784101 0.620634i \(-0.213125\pi\)
−0.330045 + 0.943965i \(0.607064\pi\)
\(38\) 0.333600 + 7.00313i 0.0541171 + 1.13606i
\(39\) 0.903005 0.861013i 0.144597 0.137872i
\(40\) −0.0917311 + 0.0721381i −0.0145040 + 0.0114060i
\(41\) 9.24386 + 4.22153i 1.44365 + 0.659292i 0.974615 0.223889i \(-0.0718752\pi\)
0.469033 + 0.883180i \(0.344602\pi\)
\(42\) −0.762915 + 4.56356i −0.117720 + 0.704173i
\(43\) 5.80251 9.02888i 0.884874 1.37689i −0.0410401 0.999157i \(-0.513067\pi\)
0.925914 0.377734i \(-0.123296\pi\)
\(44\) −4.66970 1.61620i −0.703984 0.243651i
\(45\) 0.0354311 0.0613685i 0.00528176 0.00914827i
\(46\) 7.05804 + 4.53047i 1.04065 + 0.667982i
\(47\) 1.47775 0.853178i 0.215552 0.124449i −0.388337 0.921517i \(-0.626950\pi\)
0.603889 + 0.797069i \(0.293617\pi\)
\(48\) −3.77618 + 3.27208i −0.545044 + 0.472284i
\(49\) −5.70979 4.04949i −0.815684 0.578498i
\(50\) −1.24315 + 8.64631i −0.175808 + 1.22277i
\(51\) 0.309864 + 3.24504i 0.0433897 + 0.454397i
\(52\) 0.490762 1.22587i 0.0680565 0.169997i
\(53\) 8.16665 + 8.56494i 1.12178 + 1.17648i 0.982506 + 0.186230i \(0.0596271\pi\)
0.139270 + 0.990254i \(0.455524\pi\)
\(54\) 0.801347 1.55440i 0.109050 0.211527i
\(55\) −0.300972 + 0.137449i −0.0405830 + 0.0185336i
\(56\) −1.13173 4.20757i −0.151233 0.562260i
\(57\) 3.02985 + 2.62538i 0.401314 + 0.347740i
\(58\) −7.42253 1.43057i −0.974625 0.187844i
\(59\) 6.83435 + 1.65800i 0.889757 + 0.215853i 0.654483 0.756077i \(-0.272886\pi\)
0.235273 + 0.971929i \(0.424401\pi\)
\(60\) 0.00712863 0.0746544i 0.000920302 0.00963784i
\(61\) −12.6147 6.50333i −1.61515 0.832666i −0.998985 0.0450469i \(-0.985656\pi\)
−0.616162 0.787619i \(-0.711313\pi\)
\(62\) −0.474615 + 1.61639i −0.0602762 + 0.205282i
\(63\) 1.58756 + 2.11652i 0.200014 + 0.266656i
\(64\) 0.196092 0.429381i 0.0245115 0.0536726i
\(65\) −0.0328605 0.0820816i −0.00407585 0.0101810i
\(66\) −7.25784 + 3.74167i −0.893378 + 0.460568i
\(67\) 1.66794 + 8.65410i 0.203771 + 1.05727i 0.929370 + 0.369149i \(0.120351\pi\)
−0.725599 + 0.688118i \(0.758437\pi\)
\(68\) 1.72494 + 2.98768i 0.209179 + 0.362309i
\(69\) 4.66003 1.13321i 0.561001 0.136422i
\(70\) 0.280127 + 0.170379i 0.0334815 + 0.0203642i
\(71\) 3.54828 + 4.09493i 0.421103 + 0.485979i 0.926173 0.377099i \(-0.123079\pi\)
−0.505069 + 0.863079i \(0.668533\pi\)
\(72\) −0.0783595 + 1.64497i −0.00923476 + 0.193861i
\(73\) −5.93209 + 7.54327i −0.694299 + 0.882873i −0.997544 0.0700394i \(-0.977687\pi\)
0.303245 + 0.952913i \(0.401930\pi\)
\(74\) 4.83004 3.43946i 0.561481 0.399829i
\(75\) 3.08769 + 3.92632i 0.356536 + 0.453372i
\(76\) 4.07096 + 1.19534i 0.466971 + 0.137115i
\(77\) −0.305796 12.3498i −0.0348487 1.40739i
\(78\) −0.906429 1.98480i −0.102633 0.224735i
\(79\) 1.78164 1.86853i 0.200450 0.210226i −0.615835 0.787875i \(-0.711181\pi\)
0.816285 + 0.577649i \(0.196030\pi\)
\(80\) 0.115805 + 0.334597i 0.0129474 + 0.0374090i
\(81\) −0.327068 0.945001i −0.0363409 0.105000i
\(82\) 12.2639 12.8620i 1.35432 1.42037i
\(83\) 6.10041 + 13.3580i 0.669607 + 1.46624i 0.873291 + 0.487199i \(0.161981\pi\)
−0.203684 + 0.979037i \(0.565291\pi\)
\(84\) 2.45880 + 1.33955i 0.268277 + 0.146157i
\(85\) 0.221640 + 0.0650794i 0.0240402 + 0.00705885i
\(86\) −11.6024 14.7536i −1.25112 1.59093i
\(87\) −3.52097 + 2.50727i −0.377488 + 0.268808i
\(88\) 4.75330 6.04432i 0.506704 0.644326i
\(89\) −0.172955 + 3.63078i −0.0183332 + 0.384862i 0.970990 + 0.239121i \(0.0768594\pi\)
−0.989323 + 0.145740i \(0.953444\pi\)
\(90\) −0.0811529 0.0936554i −0.00855427 0.00987215i
\(91\) 3.30025 + 0.0754034i 0.345960 + 0.00790442i
\(92\) 3.98787 3.13962i 0.415764 0.327328i
\(93\) 0.481653 + 0.834247i 0.0499451 + 0.0865074i
\(94\) −0.564740 2.93015i −0.0582485 0.302222i
\(95\) 0.252511 0.130178i 0.0259070 0.0133560i
\(96\) 2.02348 + 5.05440i 0.206520 + 0.515863i
\(97\) 1.10887 2.42809i 0.112589 0.246535i −0.844947 0.534851i \(-0.820368\pi\)
0.957535 + 0.288315i \(0.0930952\pi\)
\(98\) −9.95812 + 7.11989i −1.00592 + 0.719217i
\(99\) −1.31547 + 4.48009i −0.132210 + 0.450266i
\(100\) 4.69858 + 2.42229i 0.469858 + 0.242229i
\(101\) 0.974389 10.2043i 0.0969554 1.01536i −0.807807 0.589447i \(-0.799346\pi\)
0.904763 0.425916i \(-0.140048\pi\)
\(102\) 5.54006 + 1.34400i 0.548547 + 0.133076i
\(103\) 14.6043 + 2.81475i 1.43900 + 0.277345i 0.848288 0.529535i \(-0.177634\pi\)
0.590715 + 0.806880i \(0.298846\pi\)
\(104\) 1.55288 + 1.34558i 0.152273 + 0.131945i
\(105\) 0.181049 0.0486975i 0.0176686 0.00475239i
\(106\) 18.8257 8.59742i 1.82852 0.835055i
\(107\) −2.15840 + 4.18671i −0.208660 + 0.404745i −0.969821 0.243819i \(-0.921600\pi\)
0.761160 + 0.648564i \(0.224630\pi\)
\(108\) −0.730315 0.765933i −0.0702746 0.0737019i
\(109\) −0.639600 + 1.59764i −0.0612626 + 0.153026i −0.955841 0.293885i \(-0.905052\pi\)
0.894578 + 0.446911i \(0.147476\pi\)
\(110\) 0.0550022 + 0.576009i 0.00524425 + 0.0549203i
\(111\) 0.482535 3.35610i 0.0458002 0.318547i
\(112\) −13.1870 0.930479i −1.24605 0.0879220i
\(113\) 13.3564 11.5734i 1.25646 1.08873i 0.264212 0.964465i \(-0.414888\pi\)
0.992249 0.124265i \(-0.0396574\pi\)
\(114\) 6.07176 3.50553i 0.568673 0.328323i
\(115\) 0.0481808 0.336410i 0.00449288 0.0313704i
\(116\) −2.28725 + 3.96163i −0.212365 + 0.367828i
\(117\) −1.17908 0.408084i −0.109006 0.0377273i
\(118\) 6.64912 10.3462i 0.612102 0.952449i
\(119\) −5.48486 + 6.65587i −0.502796 + 0.610143i
\(120\) 0.106153 + 0.0484782i 0.00969036 + 0.00442544i
\(121\) 8.49071 6.67717i 0.771883 0.607016i
\(122\) −17.9628 + 17.1275i −1.62628 + 1.55065i
\(123\) −0.483537 10.1507i −0.0435990 0.915256i
\(124\) 0.830438 + 0.591352i 0.0745755 + 0.0531050i
\(125\) 0.679576 0.199542i 0.0607832 0.0178475i
\(126\) 4.40584 1.41304i 0.392504 0.125884i
\(127\) −9.28054 + 10.7103i −0.823515 + 0.950387i −0.999421 0.0340200i \(-0.989169\pi\)
0.175906 + 0.984407i \(0.443714\pi\)
\(128\) −8.47803 8.08378i −0.749359 0.714512i
\(129\) −10.6841 1.02020i −0.940678 0.0898239i
\(130\) −0.154445 + 0.00735713i −0.0135457 + 0.000645263i
\(131\) −17.7690 + 4.31071i −1.55248 + 0.376628i −0.918087 0.396380i \(-0.870266\pi\)
−0.634396 + 0.773008i \(0.718751\pi\)
\(132\) 0.703246 + 4.89118i 0.0612097 + 0.425723i
\(133\) 0.766811 + 10.5793i 0.0664909 + 0.917337i
\(134\) 15.2560 + 2.19347i 1.31791 + 0.189487i
\(135\) −0.0707819 0.00337176i −0.00609194 0.000290195i
\(136\) −5.27135 + 1.01597i −0.452014 + 0.0871186i
\(137\) 5.71991 + 3.30239i 0.488685 + 0.282142i 0.724029 0.689770i \(-0.242288\pi\)
−0.235344 + 0.971912i \(0.575622\pi\)
\(138\) 0.792665 8.34942i 0.0674761 0.710749i
\(139\) 6.38369i 0.541458i −0.962656 0.270729i \(-0.912735\pi\)
0.962656 0.270729i \(-0.0872647\pi\)
\(140\) 0.152881 0.126475i 0.0129208 0.0106891i
\(141\) −1.43548 0.922525i −0.120889 0.0776906i
\(142\) 8.79690 3.52175i 0.738220 0.295539i
\(143\) 3.37930 + 4.74556i 0.282591 + 0.396844i
\(144\) 4.63868 + 1.85705i 0.386557 + 0.154754i
\(145\) 0.0722128 + 0.297665i 0.00599694 + 0.0247197i
\(146\) 9.07313 + 14.1181i 0.750898 + 1.16842i
\(147\) −0.982952 + 6.93064i −0.0810725 + 0.571630i
\(148\) −1.01094 3.44296i −0.0830991 0.283010i
\(149\) 1.41381 7.33555i 0.115824 0.600952i −0.876913 0.480649i \(-0.840401\pi\)
0.992737 0.120303i \(-0.0383866\pi\)
\(150\) 8.25480 2.85701i 0.674001 0.233274i
\(151\) 2.78495 11.4797i 0.226636 0.934206i −0.738875 0.673843i \(-0.764643\pi\)
0.965511 0.260363i \(-0.0838423\pi\)
\(152\) −3.82970 + 5.37806i −0.310629 + 0.436218i
\(153\) 2.74232 1.76238i 0.221704 0.142480i
\(154\) −20.5845 6.55846i −1.65874 0.528495i
\(155\) 0.0675672 0.00971469i 0.00542712 0.000780303i
\(156\) −1.31447 + 0.125517i −0.105242 + 0.0100494i
\(157\) 2.41499 + 1.89917i 0.192737 + 0.151570i 0.709865 0.704338i \(-0.248756\pi\)
−0.517127 + 0.855909i \(0.672999\pi\)
\(158\) −2.06891 4.01313i −0.164594 0.319268i
\(159\) 3.87064 11.1835i 0.306962 0.886909i
\(160\) 0.385802 0.0305003
\(161\) 10.8445 + 6.58770i 0.854663 + 0.519184i
\(162\) −1.74880 −0.137399
\(163\) −5.47480 + 15.8184i −0.428819 + 1.23899i 0.499209 + 0.866482i \(0.333624\pi\)
−0.928028 + 0.372510i \(0.878497\pi\)
\(164\) −4.92810 9.55918i −0.384820 0.746446i
\(165\) 0.260083 + 0.204531i 0.0202474 + 0.0159227i
\(166\) 25.5650 2.44117i 1.98423 0.189471i
\(167\) −12.8790 + 1.85173i −0.996611 + 0.143291i −0.621271 0.783596i \(-0.713383\pi\)
−0.375340 + 0.926887i \(0.622474\pi\)
\(168\) −3.22125 + 2.93394i −0.248525 + 0.226358i
\(169\) 9.62666 6.18668i 0.740513 0.475899i
\(170\) 0.234324 0.329062i 0.0179719 0.0252379i
\(171\) 0.945174 3.89606i 0.0722793 0.297939i
\(172\) −10.7337 + 3.71498i −0.818439 + 0.283265i
\(173\) −2.74269 + 14.2304i −0.208523 + 1.08192i 0.715218 + 0.698901i \(0.246327\pi\)
−0.923741 + 0.383017i \(0.874885\pi\)
\(174\) 2.12965 + 7.25293i 0.161449 + 0.549843i
\(175\) −1.55638 + 13.1235i −0.117651 + 0.992044i
\(176\) −12.6133 19.6267i −0.950763 1.47942i
\(177\) −1.65800 6.83435i −0.124623 0.513701i
\(178\) 5.90136 + 2.36255i 0.442326 + 0.177081i
\(179\) −8.67661 12.1846i −0.648520 0.910719i 0.351152 0.936318i \(-0.385790\pi\)
−0.999672 + 0.0255994i \(0.991851\pi\)
\(180\) −0.0696220 + 0.0278724i −0.00518932 + 0.00207749i
\(181\) 6.71312 + 4.31426i 0.498982 + 0.320676i 0.765809 0.643068i \(-0.222339\pi\)
−0.266827 + 0.963744i \(0.585975\pi\)
\(182\) 2.01228 5.41093i 0.149160 0.401085i
\(183\) 14.1924i 1.04913i
\(184\) 2.58724 + 7.46215i 0.190734 + 0.550117i
\(185\) −0.208077 0.120133i −0.0152981 0.00883237i
\(186\) 1.65419 0.318818i 0.121291 0.0233769i
\(187\) −15.2035 0.724234i −1.11179 0.0529612i
\(188\) −1.78747 0.256999i −0.130364 0.0187436i
\(189\) 1.15377 2.38093i 0.0839245 0.173187i
\(190\) −0.0707048 0.491763i −0.00512947 0.0356762i
\(191\) −7.47967 + 1.81455i −0.541210 + 0.131296i −0.497039 0.867728i \(-0.665580\pi\)
−0.0441702 + 0.999024i \(0.514064\pi\)
\(192\) −0.471503 + 0.0224605i −0.0340278 + 0.00162095i
\(193\) −12.5844 1.20167i −0.905847 0.0864979i −0.368276 0.929717i \(-0.620052\pi\)
−0.537571 + 0.843219i \(0.680658\pi\)
\(194\) −3.37846 3.22135i −0.242559 0.231280i
\(195\) −0.0578995 + 0.0668196i −0.00414627 + 0.00478505i
\(196\) 2.10070 + 7.10406i 0.150050 + 0.507433i
\(197\) 6.36623 1.86930i 0.453575 0.133182i −0.0469620 0.998897i \(-0.514954\pi\)
0.500537 + 0.865715i \(0.333136\pi\)
\(198\) 6.65147 + 4.73649i 0.472699 + 0.336607i
\(199\) 0.322390 + 6.76779i 0.0228536 + 0.479756i 0.981063 + 0.193688i \(0.0620451\pi\)
−0.958209 + 0.286067i \(0.907652\pi\)
\(200\) −5.95337 + 5.67652i −0.420967 + 0.401391i
\(201\) 6.92778 5.44806i 0.488648 0.384277i
\(202\) −16.3064 7.44690i −1.14732 0.523962i
\(203\) −11.2796 1.88567i −0.791675 0.132348i
\(204\) 1.86514 2.90222i 0.130586 0.203196i
\(205\) −0.680510 0.235527i −0.0475289 0.0164499i
\(206\) 13.0050 22.5253i 0.906102 1.56942i
\(207\) −3.14258 3.62273i −0.218425 0.251797i
\(208\) 5.39904 3.11714i 0.374356 0.216134i
\(209\) −14.1471 + 12.2585i −0.978574 + 0.847939i
\(210\) 0.0230774 0.327059i 0.00159249 0.0225692i
\(211\) −2.05769 + 14.3115i −0.141657 + 0.985246i 0.787699 + 0.616061i \(0.211272\pi\)
−0.929356 + 0.369185i \(0.879637\pi\)
\(212\) −1.19052 12.4677i −0.0817652 0.856284i
\(213\) 2.01381 5.03025i 0.137984 0.344667i
\(214\) 5.68448 + 5.96172i 0.388583 + 0.407534i
\(215\) −0.348499 + 0.675994i −0.0237674 + 0.0461024i
\(216\) 1.49801 0.684120i 0.101927 0.0465485i
\(217\) −0.657290 + 2.46245i −0.0446197 + 0.167162i
\(218\) 2.27446 + 1.97083i 0.154046 + 0.133481i
\(219\) 9.42297 + 1.81613i 0.636745 + 0.122723i
\(220\) 0.340293 + 0.0825543i 0.0229426 + 0.00556581i
\(221\) 0.386618 4.04885i 0.0260068 0.272355i
\(222\) −5.27036 2.71706i −0.353724 0.182357i
\(223\) −5.48632 + 18.6847i −0.367391 + 1.25122i 0.543792 + 0.839220i \(0.316988\pi\)
−0.911184 + 0.412001i \(0.864830\pi\)
\(224\) −5.65768 + 13.2469i −0.378019 + 0.885096i
\(225\) 2.07499 4.54359i 0.138333 0.302906i
\(226\) −11.4868 28.6927i −0.764092 1.90861i
\(227\) 19.1837 9.88986i 1.27326 0.656413i 0.316864 0.948471i \(-0.397370\pi\)
0.956401 + 0.292058i \(0.0943399\pi\)
\(228\) −0.802960 4.16615i −0.0531773 0.275910i
\(229\) 1.03089 + 1.78555i 0.0681231 + 0.117993i 0.898075 0.439842i \(-0.144966\pi\)
−0.829952 + 0.557835i \(0.811632\pi\)
\(230\) −0.528400 0.272043i −0.0348417 0.0179380i
\(231\) −10.8368 + 5.93082i −0.713012 + 0.390220i
\(232\) −4.66155 5.37971i −0.306046 0.353196i
\(233\) 0.179306 3.76410i 0.0117467 0.246594i −0.985355 0.170515i \(-0.945457\pi\)
0.997102 0.0760792i \(-0.0242402\pi\)
\(234\) −1.34881 + 1.71516i −0.0881747 + 0.112123i
\(235\) −0.0984953 + 0.0701382i −0.00642513 + 0.00457531i
\(236\) −4.60073 5.85031i −0.299482 0.380822i
\(237\) −2.47721 0.727376i −0.160912 0.0472481i
\(238\) 7.86241 + 12.8714i 0.509644 + 0.834328i
\(239\) 6.26552 + 13.7196i 0.405283 + 0.887446i 0.996707 + 0.0810852i \(0.0258386\pi\)
−0.591424 + 0.806361i \(0.701434\pi\)
\(240\) 0.244336 0.256253i 0.0157718 0.0165410i
\(241\) −5.07453 14.6619i −0.326879 0.944455i −0.981992 0.188924i \(-0.939500\pi\)
0.655113 0.755531i \(-0.272621\pi\)
\(242\) −6.17833 17.8511i −0.397158 1.14751i
\(243\) −0.690079 + 0.723734i −0.0442686 + 0.0464276i
\(244\) 6.23949 + 13.6626i 0.399443 + 0.874657i
\(245\) 0.430053 + 0.247196i 0.0274751 + 0.0157928i
\(246\) −17.0518 5.00686i −1.08718 0.319225i
\(247\) −3.09211 3.93194i −0.196746 0.250183i
\(248\) −1.29225 + 0.920205i −0.0820578 + 0.0584331i
\(249\) 9.07773 11.5433i 0.575278 0.731525i
\(250\) 0.0589358 1.23721i 0.00372742 0.0782483i
\(251\) 3.00921 + 3.47281i 0.189940 + 0.219202i 0.842730 0.538337i \(-0.180947\pi\)
−0.652790 + 0.757539i \(0.726402\pi\)
\(252\) 0.0639575 2.79929i 0.00402894 0.176338i
\(253\) 2.14077 + 22.2903i 0.134589 + 1.40138i
\(254\) 12.3918 + 21.4633i 0.777532 + 1.34672i
\(255\) −0.0437165 0.226823i −0.00273763 0.0142042i
\(256\) −17.3695 + 8.95461i −1.08560 + 0.559663i
\(257\) 2.04082 + 5.09771i 0.127303 + 0.317986i 0.978303 0.207178i \(-0.0664280\pi\)
−0.851001 + 0.525165i \(0.824004\pi\)
\(258\) −7.79704 + 17.0731i −0.485422 + 1.06293i
\(259\) 7.17629 5.38282i 0.445913 0.334472i
\(260\) −0.0263618 + 0.0897799i −0.00163489 + 0.00556791i
\(261\) 3.84196 + 1.98067i 0.237811 + 0.122600i
\(262\) −3.03949 + 31.8310i −0.187780 + 1.96652i
\(263\) 2.85211 + 0.691915i 0.175869 + 0.0426653i 0.322726 0.946492i \(-0.395401\pi\)
−0.146857 + 0.989158i \(0.546916\pi\)
\(264\) −7.55049 1.45524i −0.464701 0.0895637i
\(265\) −0.633779 0.549173i −0.0389327 0.0337354i
\(266\) 17.9221 + 4.78384i 1.09887 + 0.293316i
\(267\) 3.30642 1.50999i 0.202349 0.0924099i
\(268\) 4.27399 8.29039i 0.261076 0.506416i
\(269\) −17.5234 18.3780i −1.06842 1.12053i −0.992354 0.123426i \(-0.960612\pi\)
−0.0760682 0.997103i \(-0.524237\pi\)
\(270\) −0.0460579 + 0.115047i −0.00280299 + 0.00700154i
\(271\) 0.823903 + 8.62830i 0.0500485 + 0.524132i 0.985381 + 0.170363i \(0.0544940\pi\)
−0.935333 + 0.353769i \(0.884900\pi\)
\(272\) −2.31802 + 16.1222i −0.140550 + 0.977549i
\(273\) −1.44524 2.96793i −0.0874699 0.179627i
\(274\) 8.72925 7.56393i 0.527353 0.456954i
\(275\) −20.1981 + 11.6614i −1.21799 + 0.703206i
\(276\) −4.61795 2.10590i −0.277968 0.126760i
\(277\) −9.28139 + 16.0758i −0.557665 + 0.965904i 0.440026 + 0.897985i \(0.354969\pi\)
−0.997691 + 0.0679188i \(0.978364\pi\)
\(278\) −10.5498 3.65132i −0.632735 0.218992i
\(279\) 0.520802 0.810384i 0.0311796 0.0485164i
\(280\) 0.108175 + 0.289184i 0.00646471 + 0.0172821i
\(281\) −9.86995 4.50746i −0.588792 0.268892i 0.0986612 0.995121i \(-0.468544\pi\)
−0.687453 + 0.726229i \(0.741271\pi\)
\(282\) −2.34564 + 1.84463i −0.139681 + 0.109846i
\(283\) −17.4301 + 16.6196i −1.03611 + 0.987932i −0.999935 0.0114136i \(-0.996367\pi\)
−0.0361782 + 0.999345i \(0.511518\pi\)
\(284\) −0.272849 5.72781i −0.0161906 0.339883i
\(285\) −0.231414 0.164789i −0.0137078 0.00976127i
\(286\) 9.77549 2.87034i 0.578037 0.169727i
\(287\) 18.0665 19.9121i 1.06643 1.17537i
\(288\) 3.56532 4.11460i 0.210088 0.242455i
\(289\) −4.61284 4.39834i −0.271344 0.258726i
\(290\) 0.533231 + 0.0509174i 0.0313124 + 0.00298997i
\(291\) −2.66629 + 0.127011i −0.156300 + 0.00744551i
\(292\) 9.86964 2.39435i 0.577577 0.140119i
\(293\) −2.06493 14.3619i −0.120634 0.839030i −0.956840 0.290615i \(-0.906140\pi\)
0.836206 0.548416i \(-0.184769\pi\)
\(294\) 10.8915 + 5.58861i 0.635204 + 0.325935i
\(295\) −0.493272 0.0709218i −0.0287194 0.00412923i
\(296\) 5.57746 + 0.265687i 0.324183 + 0.0154427i
\(297\) 4.58485 0.883658i 0.266040 0.0512750i
\(298\) −11.3142 6.53226i −0.655414 0.378403i
\(299\) −5.97684 + 0.287988i −0.345649 + 0.0166548i
\(300\) 5.28622i 0.305200i
\(301\) −18.1003 21.8794i −1.04329 1.26111i
\(302\) −17.3787 11.1686i −1.00003 0.642680i
\(303\) −9.51641 + 3.80979i −0.546703 + 0.218867i
\(304\) 11.6195 + 16.3174i 0.666426 + 0.935865i
\(305\) 0.933663 + 0.373782i 0.0534614 + 0.0214027i
\(306\) −1.34400 5.54006i −0.0768316 0.316704i
\(307\) −14.5583 22.6532i −0.830889 1.29289i −0.953792 0.300469i \(-0.902857\pi\)
0.122903 0.992419i \(-0.460780\pi\)
\(308\) −7.82490 + 10.4737i −0.445865 + 0.596794i
\(309\) −4.19023 14.2706i −0.238374 0.811826i
\(310\) 0.0225922 0.117219i 0.00128315 0.00665761i
\(311\) 0.277342 0.0959891i 0.0157266 0.00544304i −0.319193 0.947690i \(-0.603412\pi\)
0.334920 + 0.942247i \(0.391291\pi\)
\(312\) 0.484428 1.99684i 0.0274253 0.113049i
\(313\) 18.1767 25.5255i 1.02741 1.44279i 0.135385 0.990793i \(-0.456773\pi\)
0.892020 0.451996i \(-0.149288\pi\)
\(314\) 4.51993 2.90478i 0.255074 0.163926i
\(315\) −0.126245 0.138608i −0.00711313 0.00780969i
\(316\) −2.70452 + 0.388851i −0.152141 + 0.0218746i
\(317\) −11.2029 + 1.06975i −0.629220 + 0.0600832i −0.404794 0.914408i \(-0.632657\pi\)
−0.224426 + 0.974491i \(0.572051\pi\)
\(318\) −16.2681 12.7934i −0.912272 0.717418i
\(319\) −9.24819 17.9390i −0.517799 1.00439i
\(320\) −0.0109403 + 0.0316100i −0.000611582 + 0.00176705i
\(321\) 4.71033 0.262905
\(322\) 17.0897 14.1537i 0.952374 0.788757i
\(323\) 13.0688 0.727167
\(324\) −0.346138 + 1.00010i −0.0192299 + 0.0555612i
\(325\) −2.85578 5.53944i −0.158410 0.307273i
\(326\) 23.0103 + 18.0955i 1.27442 + 1.00222i
\(327\) 1.71312 0.163583i 0.0947360 0.00904619i
\(328\) 16.5651 2.38170i 0.914655 0.131508i
\(329\) −0.963863 4.41050i −0.0531395 0.243159i
\(330\) 0.486774 0.312831i 0.0267960 0.0172208i
\(331\) 1.20887 1.69762i 0.0664455 0.0933097i −0.780016 0.625760i \(-0.784789\pi\)
0.846462 + 0.532450i \(0.178729\pi\)
\(332\) 3.66401 15.1033i 0.201089 0.828899i
\(333\) −3.20413 + 1.10896i −0.175585 + 0.0607707i
\(334\) −4.30632 + 22.3433i −0.235631 + 1.22257i
\(335\) −0.175952 0.599237i −0.00961327 0.0327398i
\(336\) 5.21558 + 12.1474i 0.284533 + 0.662696i
\(337\) −2.56568 3.99227i −0.139761 0.217473i 0.764316 0.644842i \(-0.223077\pi\)
−0.904077 + 0.427369i \(0.859440\pi\)
\(338\) −4.71800 19.4478i −0.256625 1.05782i
\(339\) −16.4071 6.56839i −0.891109 0.356746i
\(340\) −0.141804 0.199136i −0.00769040 0.0107997i
\(341\) −4.17570 + 1.67170i −0.226127 + 0.0905276i
\(342\) −5.89809 3.79047i −0.318932 0.204965i
\(343\) −14.7943 + 11.1413i −0.798819 + 0.601571i
\(344\) 17.6749i 0.952967i
\(345\) −0.321091 + 0.111327i −0.0172870 + 0.00599367i
\(346\) 21.9487 + 12.6721i 1.17997 + 0.681256i
\(347\) 7.45738 1.43729i 0.400333 0.0771579i 0.0148893 0.999889i \(-0.495260\pi\)
0.385444 + 0.922731i \(0.374048\pi\)
\(348\) 4.56931 + 0.217663i 0.244941 + 0.0116680i
\(349\) −8.76696 1.26050i −0.469285 0.0674729i −0.0963840 0.995344i \(-0.530728\pi\)
−0.372901 + 0.927871i \(0.621637\pi\)
\(350\) 20.7979 + 10.0784i 1.11170 + 0.538716i
\(351\) 0.177567 + 1.23500i 0.00947780 + 0.0659196i
\(352\) −24.7045 + 5.99326i −1.31676 + 0.319442i
\(353\) 34.8138 1.65839i 1.85295 0.0882670i 0.908692 0.417467i \(-0.137082\pi\)
0.944260 + 0.329200i \(0.106779\pi\)
\(354\) −12.2429 1.16906i −0.650703 0.0621346i
\(355\) −0.277883 0.264961i −0.0147485 0.0140627i
\(356\) 2.51914 2.90724i 0.133514 0.154084i
\(357\) 8.42928 + 1.82524i 0.446125 + 0.0966019i
\(358\) −25.0993 + 7.36982i −1.32654 + 0.389507i
\(359\) −17.4861 12.4518i −0.922882 0.657181i 0.0165696 0.999863i \(-0.494725\pi\)
−0.939452 + 0.342681i \(0.888665\pi\)
\(360\) −0.00555273 0.116566i −0.000292655 0.00614357i
\(361\) −2.11862 + 2.02010i −0.111506 + 0.106321i
\(362\) 10.9696 8.62657i 0.576548 0.453402i
\(363\) −9.82558 4.48719i −0.515709 0.235516i
\(364\) −2.69610 2.22176i −0.141314 0.116452i
\(365\) 0.367647 0.572070i 0.0192435 0.0299435i
\(366\) 23.4546 + 8.11772i 1.22599 + 0.424320i
\(367\) 16.0508 27.8008i 0.837846 1.45119i −0.0538467 0.998549i \(-0.517148\pi\)
0.891692 0.452642i \(-0.149518\pi\)
\(368\) 23.9628 0.0131049i 1.24915 0.000683140i
\(369\) −8.80072 + 5.08110i −0.458147 + 0.264511i
\(370\) −0.317550 + 0.275158i −0.0165086 + 0.0143048i
\(371\) 28.1506 13.7080i 1.46151 0.711684i
\(372\) 0.145086 1.00910i 0.00752237 0.0523192i
\(373\) 3.31656 + 34.7325i 0.171725 + 1.79838i 0.512968 + 0.858408i \(0.328546\pi\)
−0.341243 + 0.939975i \(0.610848\pi\)
\(374\) −9.89296 + 24.7114i −0.511553 + 1.27780i
\(375\) −0.488760 0.512596i −0.0252394 0.0264704i
\(376\) 1.28766 2.49770i 0.0664058 0.128809i
\(377\) 4.90578 2.24039i 0.252661 0.115386i
\(378\) −3.27483 3.26858i −0.168439 0.168118i
\(379\) 20.5322 + 17.7912i 1.05467 + 0.913873i 0.996429 0.0844295i \(-0.0269068\pi\)
0.0582365 + 0.998303i \(0.481452\pi\)
\(380\) −0.295223 0.0568995i −0.0151446 0.00291888i
\(381\) 13.7723 + 3.34112i 0.705576 + 0.171171i
\(382\) −1.27944 + 13.3989i −0.0654619 + 0.685548i
\(383\) 1.05709 + 0.544966i 0.0540146 + 0.0278465i 0.485022 0.874502i \(-0.338812\pi\)
−0.431008 + 0.902348i \(0.641842\pi\)
\(384\) −3.30030 + 11.2398i −0.168418 + 0.573577i
\(385\) 0.104758 + 0.869114i 0.00533898 + 0.0442941i
\(386\) −9.18390 + 20.1099i −0.467448 + 1.02357i
\(387\) 3.98892 + 9.96385i 0.202768 + 0.506491i
\(388\) −2.51091 + 1.29447i −0.127472 + 0.0657166i
\(389\) −5.35536 27.7862i −0.271527 1.40882i −0.819863 0.572559i \(-0.805951\pi\)
0.548336 0.836258i \(-0.315262\pi\)
\(390\) 0.0773101 + 0.133905i 0.00391475 + 0.00678054i
\(391\) 9.06134 12.7396i 0.458252 0.644270i
\(392\) −11.5158 0.526496i −0.581636 0.0265921i
\(393\) 11.9737 + 13.8184i 0.603995 + 0.697047i
\(394\) 0.552107 11.5902i 0.0278148 0.583903i
\(395\) −0.113093 + 0.143810i −0.00569034 + 0.00723585i
\(396\) 4.02521 2.86634i 0.202274 0.144039i
\(397\) −11.0848 14.0954i −0.556328 0.707429i 0.423809 0.905752i \(-0.360693\pi\)
−0.980137 + 0.198323i \(0.936450\pi\)
\(398\) 11.3690 + 3.33823i 0.569875 + 0.167330i
\(399\) 9.05184 5.52926i 0.453159 0.276809i
\(400\) 10.3679 + 22.7025i 0.518395 + 1.13513i
\(401\) 9.57752 10.0446i 0.478279 0.501604i −0.439749 0.898121i \(-0.644933\pi\)
0.918028 + 0.396516i \(0.129781\pi\)
\(402\) −5.04104 14.5651i −0.251424 0.726443i
\(403\) −0.393109 1.13581i −0.0195822 0.0565790i
\(404\) −7.48623 + 7.85133i −0.372454 + 0.390618i
\(405\) 0.0294372 + 0.0644585i 0.00146275 + 0.00320297i
\(406\) −9.56799 + 17.5624i −0.474851 + 0.871606i
\(407\) 15.1903 + 4.46027i 0.752954 + 0.221087i
\(408\) 3.31850 + 4.21982i 0.164290 + 0.208912i
\(409\) −2.60287 + 1.85350i −0.128704 + 0.0916496i −0.642596 0.766205i \(-0.722143\pi\)
0.513892 + 0.857855i \(0.328203\pi\)
\(410\) −0.778472 + 0.989907i −0.0384460 + 0.0488880i
\(411\) 0.314268 6.59730i 0.0155017 0.325421i
\(412\) −10.3077 11.8957i −0.507823 0.586059i
\(413\) 9.66888 15.8970i 0.475774 0.782239i
\(414\) −7.78448 + 3.12137i −0.382586 + 0.153407i
\(415\) −0.520309 0.901202i −0.0255410 0.0442383i
\(416\) −1.28558 6.67023i −0.0630308 0.327035i
\(417\) −5.67405 + 2.92518i −0.277859 + 0.143247i
\(418\) 12.1669 + 30.3913i 0.595100 + 1.48649i
\(419\) 8.49681 18.6054i 0.415096 0.908934i −0.580418 0.814319i \(-0.697111\pi\)
0.995514 0.0946149i \(-0.0301620\pi\)
\(420\) −0.182470 0.0779318i −0.00890362 0.00380268i
\(421\) −9.51760 + 32.4140i −0.463860 + 1.57976i 0.312787 + 0.949823i \(0.398738\pi\)
−0.776646 + 0.629937i \(0.783081\pi\)
\(422\) 22.4745 + 11.5864i 1.09404 + 0.564019i
\(423\) −0.162199 + 1.69863i −0.00788640 + 0.0825902i
\(424\) 18.9399 + 4.59477i 0.919802 + 0.223142i
\(425\) 15.9884 + 3.08151i 0.775552 + 0.149475i
\(426\) −7.16123 6.20524i −0.346963 0.300645i
\(427\) −26.5261 + 26.5769i −1.28369 + 1.28615i
\(428\) 4.53450 2.07083i 0.219183 0.100098i
\(429\) 2.66954 5.17819i 0.128887 0.250005i
\(430\) 0.917827 + 0.962589i 0.0442616 + 0.0464202i
\(431\) 3.23976 8.09253i 0.156054 0.389804i −0.829652 0.558281i \(-0.811461\pi\)
0.985705 + 0.168478i \(0.0538852\pi\)
\(432\) −0.474957 4.97398i −0.0228514 0.239310i
\(433\) 0.839258 5.83717i 0.0403322 0.280516i −0.959668 0.281137i \(-0.909288\pi\)
1.00000 0.000620667i \(0.000197565\pi\)
\(434\) 3.69354 + 2.49472i 0.177296 + 0.119750i
\(435\) 0.231486 0.200583i 0.0110989 0.00961723i
\(436\) 1.57725 0.910629i 0.0755368 0.0436112i
\(437\) −2.74667 19.0296i −0.131391 0.910311i
\(438\) 8.39109 14.5338i 0.400942 0.694452i
\(439\) −22.0330 7.62570i −1.05158 0.363955i −0.254021 0.967199i \(-0.581753\pi\)
−0.797557 + 0.603244i \(0.793875\pi\)
\(440\) −0.294590 + 0.458392i −0.0140440 + 0.0218530i
\(441\) 6.61062 2.30212i 0.314791 0.109625i
\(442\) −6.47007 2.95478i −0.307750 0.140545i
\(443\) −22.2278 + 17.4801i −1.05607 + 0.830506i −0.985951 0.167032i \(-0.946582\pi\)
−0.0701229 + 0.997538i \(0.522339\pi\)
\(444\) −2.59698 + 2.47622i −0.123247 + 0.117516i
\(445\) −0.0122560 0.257285i −0.000580989 0.0121965i
\(446\) 27.7406 + 19.7540i 1.31356 + 0.935380i
\(447\) −7.16794 + 2.10470i −0.339032 + 0.0995488i
\(448\) −0.924925 0.839198i −0.0436986 0.0396484i
\(449\) −17.3970 + 20.0772i −0.821016 + 0.947503i −0.999335 0.0364695i \(-0.988389\pi\)
0.178318 + 0.983973i \(0.442934\pi\)
\(450\) −6.32198 6.02800i −0.298021 0.284162i
\(451\) 47.2348 + 4.51037i 2.22420 + 0.212385i
\(452\) −18.6823 + 0.889947i −0.878740 + 0.0418596i
\(453\) −11.4797 + 2.78495i −0.539364 + 0.130848i
\(454\) −5.37156 37.3601i −0.252100 1.75339i
\(455\) −0.233312 + 0.0169110i −0.0109378 + 0.000792801i
\(456\) 6.53508 + 0.939602i 0.306033 + 0.0440009i
\(457\) −11.2020 0.533616i −0.524006 0.0249615i −0.216087 0.976374i \(-0.569330\pi\)
−0.307919 + 0.951413i \(0.599633\pi\)
\(458\) 3.54048 0.682373i 0.165436 0.0318852i
\(459\) −2.82307 1.62990i −0.131770 0.0760773i
\(460\) −0.260161 + 0.248335i −0.0121301 + 0.0115787i
\(461\) 21.1426i 0.984707i 0.870395 + 0.492354i \(0.163863\pi\)
−0.870395 + 0.492354i \(0.836137\pi\)
\(462\) 3.60297 + 21.3015i 0.167625 + 0.991034i
\(463\) −8.88274 5.70859i −0.412816 0.265301i 0.317707 0.948189i \(-0.397087\pi\)
−0.730523 + 0.682888i \(0.760724\pi\)
\(464\) −20.0505 + 8.02702i −0.930823 + 0.372645i
\(465\) −0.0395958 0.0556046i −0.00183621 0.00257860i
\(466\) −6.11806 2.44930i −0.283414 0.113462i
\(467\) 6.51707 + 26.8637i 0.301574 + 1.24311i 0.897841 + 0.440319i \(0.145135\pi\)
−0.596267 + 0.802786i \(0.703350\pi\)
\(468\) 0.713890 + 1.11084i 0.0329996 + 0.0513484i
\(469\) 23.1557 + 2.74615i 1.06923 + 0.126805i
\(470\) 0.0595747 + 0.202893i 0.00274797 + 0.00935874i
\(471\) 0.581437 3.01678i 0.0267912 0.139006i
\(472\) 10.9445 3.78794i 0.503763 0.174354i
\(473\) 11.8146 48.7006i 0.543237 2.23926i
\(474\) −2.61898 + 3.67785i −0.120294 + 0.168929i
\(475\) 16.8463 10.8265i 0.772961 0.496752i
\(476\) 8.91706 1.94872i 0.408713 0.0893193i
\(477\) −11.7139 + 1.68421i −0.536343 + 0.0771145i
\(478\) 26.2570 2.50724i 1.20097 0.114678i
\(479\) 14.7426 + 11.5937i 0.673608 + 0.529731i 0.895344 0.445376i \(-0.146930\pi\)
−0.221736 + 0.975107i \(0.571172\pi\)
\(480\) −0.176785 0.342914i −0.00806907 0.0156518i
\(481\) −1.38365 + 3.99781i −0.0630892 + 0.182284i
\(482\) −27.1330 −1.23588
\(483\) 0.886169 12.6576i 0.0403221 0.575941i
\(484\) −11.4315 −0.519614
\(485\) −0.0618659 + 0.178750i −0.00280919 + 0.00811662i
\(486\) 0.801347 + 1.55440i 0.0363498 + 0.0705089i
\(487\) −5.83448 4.58829i −0.264386 0.207915i 0.477162 0.878815i \(-0.341665\pi\)
−0.741548 + 0.670900i \(0.765908\pi\)
\(488\) −23.2667 + 2.22170i −1.05323 + 0.100572i
\(489\) 16.5686 2.38221i 0.749260 0.107727i
\(490\) 0.654501 0.569323i 0.0295673 0.0257194i
\(491\) −18.1104 + 11.6389i −0.817312 + 0.525254i −0.881223 0.472701i \(-0.843279\pi\)
0.0639109 + 0.997956i \(0.479643\pi\)
\(492\) −6.23835 + 8.76054i −0.281247 + 0.394955i
\(493\) −3.32193 + 13.6932i −0.149612 + 0.616711i
\(494\) −8.26661 + 2.86110i −0.371932 + 0.128727i
\(495\) 0.0626179 0.324893i 0.00281447 0.0146028i
\(496\) 1.35605 + 4.61828i 0.0608885 + 0.207367i
\(497\) 13.1728 5.65584i 0.590881 0.253699i
\(498\) −13.8844 21.6045i −0.622174 0.968121i
\(499\) 2.94744 + 12.1495i 0.131945 + 0.543886i 0.998960 + 0.0456028i \(0.0145209\pi\)
−0.867014 + 0.498283i \(0.833964\pi\)
\(500\) −0.695870 0.278584i −0.0311203 0.0124587i
\(501\) 7.54740 + 10.5988i 0.337193 + 0.473521i
\(502\) 7.46043 2.98671i 0.332975 0.133303i
\(503\) −1.18444 0.761196i −0.0528117 0.0339400i 0.513969 0.857809i \(-0.328175\pi\)
−0.566780 + 0.823869i \(0.691811\pi\)
\(504\) 4.08385 + 1.51875i 0.181909 + 0.0676506i
\(505\) 0.726386i 0.0323237i
\(506\) 38.0618 + 9.21165i 1.69205 + 0.409508i
\(507\) −9.91013 5.72162i −0.440125 0.254106i
\(508\) 14.7271 2.83841i 0.653407 0.125934i
\(509\) −3.09116 0.147250i −0.137013 0.00652674i −0.0210367 0.999779i \(-0.506697\pi\)
−0.115976 + 0.993252i \(0.537000\pi\)
\(510\) −0.399856 0.0574906i −0.0177059 0.00254573i
\(511\) 14.2512 + 21.0128i 0.630436 + 0.929552i
\(512\) 1.52936 + 10.6369i 0.0675888 + 0.470090i
\(513\) −3.89606 + 0.945174i −0.172015 + 0.0417305i
\(514\) 9.59187 0.456917i 0.423079 0.0201538i
\(515\) −1.04917 0.100183i −0.0462318 0.00441460i
\(516\) 8.22049 + 7.83822i 0.361887 + 0.345058i
\(517\) 5.21751 6.02133i 0.229466 0.264818i
\(518\) −4.79108 14.9385i −0.210508 0.656361i
\(519\) 13.9053 4.08296i 0.610374 0.179222i
\(520\) −0.118606 0.0844591i −0.00520122 0.00370378i
\(521\) 0.134459 + 2.82264i 0.00589076 + 0.123662i 0.999897 + 0.0143405i \(0.00456488\pi\)
−0.994006 + 0.109322i \(0.965132\pi\)
\(522\) 5.47080 5.21640i 0.239450 0.228315i
\(523\) 1.50452 1.18317i 0.0657879 0.0517362i −0.584724 0.811233i \(-0.698797\pi\)
0.650511 + 0.759496i \(0.274555\pi\)
\(524\) 17.6018 + 8.03848i 0.768939 + 0.351163i
\(525\) 12.3778 4.63017i 0.540212 0.202077i
\(526\) 2.77481 4.31769i 0.120988 0.188260i
\(527\) 2.96748 + 1.02706i 0.129266 + 0.0447392i
\(528\) −11.6651 + 20.2046i −0.507660 + 0.879293i
\(529\) −20.4547 10.5168i −0.889336 0.457254i
\(530\) −1.27008 + 0.733281i −0.0551687 + 0.0318517i
\(531\) −5.31487 + 4.60537i −0.230646 + 0.199856i
\(532\) 6.28307 9.30237i 0.272405 0.403309i
\(533\) −1.80447 + 12.5503i −0.0781601 + 0.543616i
\(534\) −0.604243 6.32792i −0.0261482 0.273836i
\(535\) 0.124055 0.309875i 0.00536337 0.0133971i
\(536\) 10.0159 + 10.5044i 0.432622 + 0.453721i
\(537\) −6.85424 + 13.2954i −0.295782 + 0.573738i
\(538\) −40.3949 + 18.4477i −1.74155 + 0.795338i
\(539\) −31.3782 9.14833i −1.35155 0.394047i
\(540\) 0.0566766 + 0.0491106i 0.00243897 + 0.00211338i
\(541\) −22.0134 4.24273i −0.946428 0.182409i −0.307390 0.951584i \(-0.599455\pi\)
−0.639039 + 0.769175i \(0.720668\pi\)
\(542\) 14.7305 + 3.57359i 0.632731 + 0.153499i
\(543\) 0.758538 7.94377i 0.0325520 0.340900i
\(544\) 15.7747 + 8.13245i 0.676337 + 0.348676i
\(545\) 0.0343567 0.117008i 0.00147168 0.00501208i
\(546\) −5.73150 + 0.690844i −0.245286 + 0.0295654i
\(547\) 4.95472 10.8493i 0.211848 0.463883i −0.773640 0.633625i \(-0.781566\pi\)
0.985489 + 0.169742i \(0.0542934\pi\)
\(548\) −2.59788 6.48918i −0.110976 0.277204i
\(549\) 12.6147 6.50333i 0.538382 0.277555i
\(550\) 7.71895 + 40.0497i 0.329137 + 1.70773i
\(551\) 8.66453 + 15.0074i 0.369121 + 0.639337i
\(552\) 5.44708 5.71899i 0.231843 0.243416i
\(553\) −3.27938 5.99210i −0.139453 0.254810i
\(554\) 21.2585 + 24.5336i 0.903187 + 1.04233i
\(555\) −0.0114323 + 0.239994i −0.000485276 + 0.0101872i
\(556\) −4.17622 + 5.31050i −0.177111 + 0.225215i
\(557\) −33.9519 + 24.1770i −1.43859 + 1.02441i −0.447061 + 0.894503i \(0.647529\pi\)
−0.991526 + 0.129910i \(0.958531\pi\)
\(558\) −1.04137 1.32421i −0.0440847 0.0560582i
\(559\) 12.8487 + 3.77272i 0.543443 + 0.159569i
\(560\) 0.936494 0.0231887i 0.0395741 0.000979900i
\(561\) 6.32294 + 13.8453i 0.266955 + 0.584549i
\(562\) −13.0945 + 13.7331i −0.552358 + 0.579296i
\(563\) −5.04386 14.5733i −0.212573 0.614190i 0.787424 0.616412i \(-0.211414\pi\)
−0.999998 + 0.00222113i \(0.999293\pi\)
\(564\) 0.590635 + 1.70653i 0.0248702 + 0.0718578i
\(565\) −0.864219 + 0.906367i −0.0363580 + 0.0381311i
\(566\) 17.4962 + 38.3114i 0.735421 + 1.61035i
\(567\) −2.64494 + 0.0654918i −0.111077 + 0.00275040i
\(568\) 8.56172 + 2.51395i 0.359242 + 0.105483i
\(569\) −0.591014 0.751536i −0.0247766 0.0315060i 0.773507 0.633788i \(-0.218501\pi\)
−0.798284 + 0.602282i \(0.794258\pi\)
\(570\) −0.404697 + 0.288184i −0.0169509 + 0.0120707i
\(571\) −27.4839 + 34.9487i −1.15017 + 1.46256i −0.286793 + 0.957992i \(0.592589\pi\)
−0.863374 + 0.504564i \(0.831653\pi\)
\(572\) 0.293366 6.15851i 0.0122662 0.257500i
\(573\) 5.04021 + 5.81672i 0.210558 + 0.242997i
\(574\) −22.5734 41.2464i −0.942197 1.72159i
\(575\) 1.12674 23.9286i 0.0469884 0.997890i
\(576\) 0.236019 + 0.408797i 0.00983413 + 0.0170332i
\(577\) −4.72210 24.5006i −0.196584 1.01997i −0.937397 0.348262i \(-0.886772\pi\)
0.740814 0.671711i \(-0.234440\pi\)
\(578\) −9.90721 + 5.10752i −0.412086 + 0.212445i
\(579\) 4.69843 + 11.7361i 0.195260 + 0.487736i
\(580\) 0.134660 0.294865i 0.00559147 0.0122436i
\(581\) 38.5739 4.64949i 1.60032 0.192893i
\(582\) −1.31515 + 4.47900i −0.0545149 + 0.185661i
\(583\) 49.1147 + 25.3204i 2.03412 + 1.04866i
\(584\) −1.50223 + 15.7321i −0.0621629 + 0.650999i
\(585\) 0.0859227 + 0.0208446i 0.00355247 + 0.000861819i
\(586\) −24.9158 4.80213i −1.02926 0.198374i
\(587\) −10.1989 8.83736i −0.420952 0.364757i 0.418476 0.908228i \(-0.362564\pi\)
−0.839428 + 0.543471i \(0.817110\pi\)
\(588\) 5.35174 5.12245i 0.220702 0.211246i
\(589\) 3.51296 1.60432i 0.144749 0.0661047i
\(590\) −0.399347 + 0.774625i −0.0164409 + 0.0318908i
\(591\) −4.57867 4.80197i −0.188341 0.197527i
\(592\) 6.29654 15.7280i 0.258786 0.646417i
\(593\) −3.34369 35.0167i −0.137309 1.43797i −0.757152 0.653239i \(-0.773410\pi\)
0.619843 0.784726i \(-0.287196\pi\)
\(594\) 1.16208 8.08244i 0.0476807 0.331627i
\(595\) 0.342076 0.506459i 0.0140237 0.0207628i
\(596\) −5.97506 + 5.17742i −0.244748 + 0.212075i
\(597\) 5.86772 3.38773i 0.240150 0.138651i
\(598\) −2.94268 + 10.0422i −0.120335 + 0.410654i
\(599\) 0.817928 1.41669i 0.0334196 0.0578845i −0.848832 0.528663i \(-0.822694\pi\)
0.882251 + 0.470778i \(0.156027\pi\)
\(600\) 7.77349 + 2.69043i 0.317351 + 0.109836i
\(601\) 18.3386 28.5354i 0.748047 1.16398i −0.233424 0.972375i \(-0.574993\pi\)
0.981471 0.191609i \(-0.0613707\pi\)
\(602\) −46.5112 + 17.3985i −1.89566 + 0.709108i
\(603\) −8.01692 3.66121i −0.326474 0.149096i
\(604\) −9.82681 + 7.72789i −0.399847 + 0.314443i
\(605\) −0.553970 + 0.528209i −0.0225221 + 0.0214747i
\(606\) 0.852973 + 17.9061i 0.0346497 + 0.727386i
\(607\) −27.7975 19.7945i −1.12826 0.803434i −0.145695 0.989330i \(-0.546542\pi\)
−0.982569 + 0.185896i \(0.940481\pi\)
\(608\) 20.9428 6.14936i 0.849343 0.249390i
\(609\) 3.49257 + 10.8898i 0.141526 + 0.441277i
\(610\) 1.15175 1.32919i 0.0466332 0.0538175i
\(611\) 1.54085 + 1.46919i 0.0623360 + 0.0594373i
\(612\) −3.43425 0.327931i −0.138821 0.0132558i
\(613\) 9.43273 0.449336i 0.380984 0.0181485i 0.143784 0.989609i \(-0.454073\pi\)
0.237201 + 0.971461i \(0.423770\pi\)
\(614\) −45.7642 + 11.1023i −1.84689 + 0.448051i
\(615\) 0.102483 + 0.712786i 0.00413252 + 0.0287423i
\(616\) −11.4193 16.8373i −0.460096 0.678393i
\(617\) −26.8615 3.86210i −1.08140 0.155482i −0.421496 0.906830i \(-0.638495\pi\)
−0.659906 + 0.751348i \(0.729404\pi\)
\(618\) −25.9806 1.23761i −1.04509 0.0497839i
\(619\) 19.0869 3.67871i 0.767169 0.147860i 0.209371 0.977836i \(-0.432858\pi\)
0.557798 + 0.829977i \(0.311646\pi\)
\(620\) −0.0625635 0.0361210i −0.00251261 0.00145066i
\(621\) −1.78000 + 4.45327i −0.0714288 + 0.178704i
\(622\) 0.513245i 0.0205792i
\(623\) 9.01388 + 3.35219i 0.361133 + 0.134303i
\(624\) −5.24460 3.37050i −0.209952 0.134928i
\(625\) 23.1393 9.26358i 0.925572 0.370543i
\(626\) −31.7874 44.6391i −1.27048 1.78414i
\(627\) 17.3784 + 6.95725i 0.694025 + 0.277846i
\(628\) −0.766556 3.15979i −0.0305889 0.126089i
\(629\) −5.97557 9.29816i −0.238261 0.370742i
\(630\) −0.301276 + 0.129355i −0.0120031 + 0.00515362i
\(631\) 1.31207 + 4.46851i 0.0522328 + 0.177889i 0.981478 0.191575i \(-0.0613596\pi\)
−0.929245 + 0.369464i \(0.879541\pi\)
\(632\) 0.804656 4.17495i 0.0320075 0.166071i
\(633\) 13.6635 4.72898i 0.543074 0.187960i
\(634\) −4.63993 + 19.1261i −0.184275 + 0.759593i
\(635\) 0.582518 0.818033i 0.0231165 0.0324626i
\(636\) −10.5362 + 6.77120i −0.417787 + 0.268496i
\(637\) 2.84080 8.25901i 0.112556 0.327234i
\(638\) −34.9361 + 5.02305i −1.38313 + 0.198864i
\(639\) −5.39384 + 0.515049i −0.213377 + 0.0203750i
\(640\) 0.652503 + 0.513134i 0.0257924 + 0.0202834i
\(641\) 16.2876 + 31.5935i 0.643321 + 1.24787i 0.954696 + 0.297581i \(0.0961800\pi\)
−0.311376 + 0.950287i \(0.600790\pi\)
\(642\) 2.69420 7.78439i 0.106332 0.307225i
\(643\) 33.2181 1.30999 0.654997 0.755632i \(-0.272670\pi\)
0.654997 + 0.755632i \(0.272670\pi\)
\(644\) −4.71165 12.5747i −0.185665 0.495512i
\(645\) 0.760539 0.0299462
\(646\) 7.47505 21.5977i 0.294102 0.849751i
\(647\) 11.9327 + 23.1462i 0.469123 + 0.909972i 0.998117 + 0.0613461i \(0.0195393\pi\)
−0.528993 + 0.848626i \(0.677430\pi\)
\(648\) −1.29450 1.01801i −0.0508527 0.0399910i
\(649\) 32.6881 3.12133i 1.28312 0.122523i
\(650\) −10.7880 + 1.55108i −0.423141 + 0.0608385i
\(651\) 2.48990 0.544139i 0.0975870 0.0213265i
\(652\) 14.9028 9.57746i 0.583639 0.375082i
\(653\) −3.15564 + 4.43147i −0.123490 + 0.173417i −0.871693 0.490053i \(-0.836977\pi\)
0.748203 + 0.663470i \(0.230917\pi\)
\(654\) 0.709526 2.92471i 0.0277447 0.114365i
\(655\) 1.22441 0.423773i 0.0478417 0.0165582i
\(656\) 9.60950 49.8588i 0.375188 1.94666i
\(657\) −2.70362 9.20767i −0.105478 0.359225i
\(658\) −7.84018 0.929806i −0.305642 0.0362476i
\(659\) −8.67396 13.4970i −0.337890 0.525767i 0.630180 0.776449i \(-0.282981\pi\)
−0.968069 + 0.250683i \(0.919345\pi\)
\(660\) −0.0825543 0.340293i −0.00321342 0.0132459i
\(661\) 5.05775 + 2.02482i 0.196724 + 0.0787562i 0.467932 0.883764i \(-0.344999\pi\)
−0.271209 + 0.962521i \(0.587423\pi\)
\(662\) −2.11407 2.96880i −0.0821658 0.115386i
\(663\) −3.77592 + 1.51165i −0.146645 + 0.0587076i
\(664\) 20.3448 + 13.0748i 0.789532 + 0.507402i
\(665\) −0.125352 0.741109i −0.00486096 0.0287390i
\(666\) 5.92951i 0.229764i
\(667\) 20.6370 + 1.95921i 0.799068 + 0.0758608i
\(668\) 11.9253 + 6.88507i 0.461404 + 0.266391i
\(669\) 19.1216 3.68539i 0.739284 0.142485i
\(670\) −1.09095 0.0519684i −0.0421471 0.00200771i
\(671\) −65.5930 9.43085i −2.53219 0.364074i
\(672\) 14.3668 1.04134i 0.554212 0.0401707i
\(673\) −3.07202 21.3664i −0.118418 0.823613i −0.959299 0.282393i \(-0.908872\pi\)
0.840881 0.541220i \(-0.182037\pi\)
\(674\) −8.06521 + 1.95660i −0.310660 + 0.0753654i
\(675\) −4.98932 + 0.237671i −0.192039 + 0.00914795i
\(676\) −12.0556 1.15117i −0.463678 0.0442758i
\(677\) −15.9819 15.2387i −0.614235 0.585672i 0.317747 0.948176i \(-0.397074\pi\)
−0.931983 + 0.362503i \(0.881922\pi\)
\(678\) −20.2395 + 23.3576i −0.777294 + 0.897045i
\(679\) −5.23032 4.74555i −0.200721 0.182118i
\(680\) 0.365004 0.107175i 0.0139973 0.00410997i
\(681\) −17.5809 12.5193i −0.673702 0.479741i
\(682\) 0.374276 + 7.85702i 0.0143318 + 0.300861i
\(683\) −9.87837 + 9.41901i −0.377985 + 0.360408i −0.855127 0.518418i \(-0.826521\pi\)
0.477142 + 0.878826i \(0.341673\pi\)
\(684\) −3.33509 + 2.62274i −0.127520 + 0.100283i
\(685\) −0.425734 0.194426i −0.0162665 0.00742865i
\(686\) 9.95024 + 30.8219i 0.379902 + 1.17679i
\(687\) 1.11468 1.73448i 0.0425278 0.0661745i
\(688\) −50.6773 17.5396i −1.93206 0.668691i
\(689\) −7.38289 + 12.7875i −0.281266 + 0.487166i
\(690\) 0.000325023 0.594318i 1.23734e−5 0.0226253i
\(691\) 19.5292 11.2752i 0.742925 0.428928i −0.0802068 0.996778i \(-0.525558\pi\)
0.823132 + 0.567850i \(0.192225\pi\)
\(692\) 11.5912 10.0438i 0.440630 0.381808i
\(693\) 10.2373 + 6.91451i 0.388881 + 0.262661i
\(694\) 1.89015 13.1463i 0.0717493 0.499027i
\(695\) 0.0429998 + 0.450314i 0.00163107 + 0.0170814i
\(696\) −2.64564 + 6.60848i −0.100283 + 0.250494i
\(697\) −22.8601 23.9750i −0.865888 0.908117i
\(698\) −7.09762 + 13.7675i −0.268649 + 0.521106i
\(699\) −3.42783 + 1.56544i −0.129652 + 0.0592103i
\(700\) 9.88015 9.89906i 0.373435 0.374149i
\(701\) −27.1397 23.5167i −1.02505 0.888214i −0.0312664 0.999511i \(-0.509954\pi\)
−0.993787 + 0.111297i \(0.964499\pi\)
\(702\) 2.14255 + 0.412943i 0.0808655 + 0.0155855i
\(703\) −13.2100 3.20472i −0.498226 0.120868i
\(704\) 0.209509 2.19407i 0.00789616 0.0826923i
\(705\) 0.107475 + 0.0554070i 0.00404772 + 0.00208675i
\(706\) 17.1720 58.4825i 0.646277 2.20102i
\(707\) −24.9412 10.6523i −0.938012 0.400619i
\(708\) −3.09178 + 6.77006i −0.116196 + 0.254434i
\(709\) −7.04033 17.5859i −0.264405 0.660452i 0.735448 0.677581i \(-0.236972\pi\)
−0.999853 + 0.0171287i \(0.994547\pi\)
\(710\) −0.596823 + 0.307684i −0.0223984 + 0.0115472i
\(711\) 0.488608 + 2.53514i 0.0183242 + 0.0950751i
\(712\) 2.99303 + 5.18409i 0.112169 + 0.194282i
\(713\) 0.871832 4.53684i 0.0326504 0.169906i
\(714\) 7.83778 12.8864i 0.293322 0.482261i
\(715\) −0.270346 0.311996i −0.0101104 0.0116680i
\(716\) −0.753239 + 15.8124i −0.0281499 + 0.590938i
\(717\) 9.32342 11.8557i 0.348189 0.442759i
\(718\) −30.5798 + 21.7757i −1.14123 + 0.812664i
\(719\) 1.02572 + 1.30431i 0.0382530 + 0.0486427i 0.804803 0.593542i \(-0.202271\pi\)
−0.766550 + 0.642184i \(0.778028\pi\)
\(720\) −0.339728 0.0997531i −0.0126609 0.00371758i
\(721\) 18.8256 34.5551i 0.701103 1.28690i
\(722\) 2.12666 + 4.65673i 0.0791460 + 0.173305i
\(723\) −10.7067 + 11.2289i −0.398187 + 0.417607i
\(724\) −2.76215 7.98070i −0.102654 0.296600i
\(725\) 7.06160 + 20.4031i 0.262261 + 0.757754i
\(726\) −13.0356 + 13.6714i −0.483797 + 0.507392i
\(727\) −14.1632 31.0130i −0.525282 1.15021i −0.967401 0.253251i \(-0.918500\pi\)
0.442118 0.896957i \(-0.354227\pi\)
\(728\) 4.63932 2.83390i 0.171945 0.105031i
\(729\) 0.959493 + 0.281733i 0.0355368 + 0.0104345i
\(730\) −0.735128 0.934792i −0.0272083 0.0345982i
\(731\) −28.4990 + 20.2941i −1.05407 + 0.750603i
\(732\) 9.28469 11.8064i 0.343172 0.436379i
\(733\) −0.140653 + 2.95266i −0.00519512 + 0.109059i 0.994780 + 0.102040i \(0.0325371\pi\)
−0.999975 + 0.00701857i \(0.997766\pi\)
\(734\) −36.7635 42.4273i −1.35696 1.56602i
\(735\) 0.0226548 0.495518i 0.000835634 0.0182774i
\(736\) 8.52638 24.6790i 0.314286 0.909680i
\(737\) 20.5758 + 35.6384i 0.757920 + 1.31276i
\(738\) 3.36331 + 17.4505i 0.123805 + 0.642362i
\(739\) −9.70815 + 5.00490i −0.357120 + 0.184108i −0.627445 0.778661i \(-0.715899\pi\)
0.270325 + 0.962769i \(0.412869\pi\)
\(740\) 0.0945047 + 0.236061i 0.00347406 + 0.00867779i
\(741\) −2.07796 + 4.55010i −0.0763357 + 0.167152i
\(742\) −6.55261 54.3629i −0.240554 1.99573i
\(743\) 10.0579 34.2542i 0.368990 1.25666i −0.540644 0.841252i \(-0.681819\pi\)
0.909633 0.415412i \(-0.136363\pi\)
\(744\) 1.41005 + 0.726933i 0.0516951 + 0.0266507i
\(745\) −0.0503207 + 0.526983i −0.00184361 + 0.0193071i
\(746\) 59.2966 + 14.3852i 2.17100 + 0.526680i
\(747\) −14.4197 2.77917i −0.527590 0.101685i
\(748\) 12.1738 + 10.5487i 0.445118 + 0.385697i
\(749\) 8.82065 + 8.80380i 0.322300 + 0.321684i
\(750\) −1.12669 + 0.514540i −0.0411407 + 0.0187883i
\(751\) 9.77387 18.9587i 0.356654 0.691812i −0.640439 0.768009i \(-0.721248\pi\)
0.997093 + 0.0761973i \(0.0242779\pi\)
\(752\) −5.88360 6.17054i −0.214553 0.225016i
\(753\) 1.70786 4.26603i 0.0622379 0.155463i
\(754\) −0.896525 9.38884i −0.0326495 0.341921i
\(755\) −0.119128 + 0.828553i −0.00433551 + 0.0301541i
\(756\) −2.51741 + 1.22586i −0.0915574 + 0.0445841i
\(757\) −34.0049 + 29.4654i −1.23593 + 1.07094i −0.240984 + 0.970529i \(0.577470\pi\)
−0.994946 + 0.100410i \(0.967984\pi\)
\(758\) 41.1460 23.7557i 1.49449 0.862845i
\(759\) 18.8314 12.1168i 0.683538 0.439811i
\(760\) 0.233926 0.405172i 0.00848539 0.0146971i
\(761\) 46.6748 + 16.1543i 1.69196 + 0.585593i 0.991732 0.128327i \(-0.0409608\pi\)
0.700227 + 0.713920i \(0.253082\pi\)
\(762\) 13.3990 20.8493i 0.485396 0.755291i
\(763\) 3.51377 + 2.89557i 0.127207 + 0.104827i
\(764\) 7.40930 + 3.38372i 0.268059 + 0.122419i
\(765\) −0.181576 + 0.142793i −0.00656489 + 0.00516269i
\(766\) 1.50525 1.43525i 0.0543869 0.0518578i
\(767\) 0.417511 + 8.76464i 0.0150755 + 0.316473i
\(768\) 15.9184 + 11.3354i 0.574404 + 0.409031i
\(769\) −38.7781 + 11.3863i −1.39838 + 0.410600i −0.892126 0.451787i \(-0.850787\pi\)
−0.506250 + 0.862387i \(0.668969\pi\)
\(770\) 1.49623 + 0.323988i 0.0539205 + 0.0116757i
\(771\) 3.59587