Properties

Label 690.2.w.a.37.5
Level $690$
Weight $2$
Character 690.37
Analytic conductor $5.510$
Analytic rank $0$
Dimension $240$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 690.w (of order \(44\), degree \(20\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(5.50967773947\)
Analytic rank: \(0\)
Dimension: \(240\)
Relative dimension: \(12\) over \(\Q(\zeta_{44})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{44}]$

Embedding invariants

Embedding label 37.5
Character \(\chi\) \(=\) 690.37
Dual form 690.2.w.a.373.5

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.11884 - 0.714499i) q^{5} +(0.841254 + 0.540641i) q^{6} +(0.271075 + 0.726780i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +O(q^{10})\) \(q+(-0.877679 - 0.479249i) q^{2} +(-0.997452 - 0.0713392i) q^{3} +(0.540641 + 0.841254i) q^{4} +(2.11884 - 0.714499i) q^{5} +(0.841254 + 0.540641i) q^{6} +(0.271075 + 0.726780i) q^{7} +(-0.0713392 - 0.997452i) q^{8} +(0.989821 + 0.142315i) q^{9} +(-2.20209 - 0.388352i) q^{10} +(-1.66072 + 5.65588i) q^{11} +(-0.479249 - 0.877679i) q^{12} +(3.64999 + 1.36138i) q^{13} +(0.110392 - 0.767791i) q^{14} +(-2.16442 + 0.561523i) q^{15} +(-0.415415 + 0.909632i) q^{16} +(-3.47850 + 0.756701i) q^{17} +(-0.800541 - 0.599278i) q^{18} +(-3.10501 + 1.99547i) q^{19} +(1.74661 + 1.39620i) q^{20} +(-0.218536 - 0.744266i) q^{21} +(4.16815 - 4.16815i) q^{22} +(0.782098 - 4.73163i) q^{23} +1.00000i q^{24} +(3.97898 - 3.02782i) q^{25} +(-2.55108 - 2.94411i) q^{26} +(-0.977147 - 0.212565i) q^{27} +(-0.464852 + 0.620969i) q^{28} +(-4.42134 + 6.87974i) q^{29} +(2.16877 + 0.544457i) q^{30} +(-0.455780 + 0.525998i) q^{31} +(0.800541 - 0.599278i) q^{32} +(2.05997 - 5.52300i) q^{33} +(3.41565 + 1.00293i) q^{34} +(1.09365 + 1.34625i) q^{35} +(0.415415 + 0.909632i) q^{36} +(3.93943 + 5.26246i) q^{37} +(3.68153 - 0.263308i) q^{38} +(-3.54357 - 1.61829i) q^{39} +(-0.863835 - 2.06247i) q^{40} +(0.0215894 + 0.150158i) q^{41} +(-0.164884 + 0.757960i) q^{42} +(-0.836505 + 11.6959i) q^{43} +(-5.65588 + 1.66072i) q^{44} +(2.19896 - 0.405684i) q^{45} +(-2.95406 + 3.77803i) q^{46} +(-0.875308 - 0.875308i) q^{47} +(0.479249 - 0.877679i) q^{48} +(4.83552 - 4.19000i) q^{49} +(-4.94335 + 0.750534i) q^{50} +(3.52362 - 0.506620i) q^{51} +(0.828071 + 3.80658i) q^{52} +(8.51077 - 3.17435i) q^{53} +(0.755750 + 0.654861i) q^{54} +(0.522329 + 13.1705i) q^{55} +(0.705590 - 0.322232i) q^{56} +(3.23946 - 1.76888i) q^{57} +(7.17763 - 3.91928i) q^{58} +(-11.6922 + 5.33967i) q^{59} +(-1.64255 - 1.51724i) q^{60} +(9.88231 + 8.56307i) q^{61} +(0.652113 - 0.243225i) q^{62} +(0.164884 + 0.757960i) q^{63} +(-0.989821 + 0.142315i) q^{64} +(8.70645 + 0.276624i) q^{65} +(-4.45489 + 3.86018i) q^{66} +(6.73221 - 12.3291i) q^{67} +(-2.51720 - 2.51720i) q^{68} +(-1.11766 + 4.66378i) q^{69} +(-0.314684 - 1.70570i) q^{70} +(7.40082 - 2.17308i) q^{71} +(0.0713392 - 0.997452i) q^{72} +(-0.107206 + 0.492818i) q^{73} +(-0.935524 - 6.50671i) q^{74} +(-4.18485 + 2.73625i) q^{75} +(-3.35739 - 1.53327i) q^{76} +(-4.56076 + 0.326192i) q^{77} +(2.33455 + 3.11860i) q^{78} +(6.48309 + 14.1960i) q^{79} +(-0.230267 + 2.22418i) q^{80} +(0.959493 + 0.281733i) q^{81} +(0.0530144 - 0.142137i) q^{82} +(2.80499 - 2.09979i) q^{83} +(0.507967 - 0.586225i) q^{84} +(-6.82972 + 4.08871i) q^{85} +(6.33941 - 9.86432i) q^{86} +(4.90087 - 6.54680i) q^{87} +(5.75995 + 1.25300i) q^{88} +(0.988512 + 1.14080i) q^{89} +(-2.12440 - 0.697788i) q^{90} +3.02177i q^{91} +(4.40333 - 1.90017i) q^{92} +(0.492143 - 0.492143i) q^{93} +(0.348749 + 1.18773i) q^{94} +(-5.15327 + 6.44662i) q^{95} +(-0.841254 + 0.540641i) q^{96} +(-3.94307 - 2.95174i) q^{97} +(-6.25209 + 1.36006i) q^{98} +(-2.44873 + 5.36197i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 240 q - 24 q^{6} + O(q^{10}) \) \( 240 q - 24 q^{6} + 44 q^{10} - 16 q^{13} + 24 q^{16} + 44 q^{21} + 72 q^{23} + 16 q^{25} + 44 q^{28} - 16 q^{31} - 44 q^{33} - 24 q^{36} + 44 q^{37} + 88 q^{43} - 8 q^{46} + 48 q^{47} + 8 q^{50} - 16 q^{52} + 56 q^{55} + 44 q^{57} + 16 q^{58} + 88 q^{61} + 8 q^{62} + 88 q^{65} - 132 q^{67} + 56 q^{70} - 64 q^{71} + 16 q^{73} - 32 q^{75} - 16 q^{77} - 16 q^{78} + 24 q^{81} - 24 q^{82} + 92 q^{85} - 16 q^{87} - 44 q^{88} + 116 q^{92} - 80 q^{93} + 20 q^{95} + 24 q^{96} - 88 q^{98} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).

\(n\) \(277\) \(461\) \(511\)
\(\chi(n)\) \(e\left(\frac{1}{4}\right)\) \(1\) \(e\left(\frac{21}{22}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.877679 0.479249i −0.620613 0.338880i
\(3\) −0.997452 0.0713392i −0.575879 0.0411877i
\(4\) 0.540641 + 0.841254i 0.270320 + 0.420627i
\(5\) 2.11884 0.714499i 0.947575 0.319534i
\(6\) 0.841254 + 0.540641i 0.343440 + 0.220716i
\(7\) 0.271075 + 0.726780i 0.102457 + 0.274697i 0.978056 0.208341i \(-0.0668062\pi\)
−0.875600 + 0.483037i \(0.839534\pi\)
\(8\) −0.0713392 0.997452i −0.0252222 0.352653i
\(9\) 0.989821 + 0.142315i 0.329940 + 0.0474383i
\(10\) −2.20209 0.388352i −0.696361 0.122808i
\(11\) −1.66072 + 5.65588i −0.500725 + 1.70531i 0.189641 + 0.981853i \(0.439268\pi\)
−0.690366 + 0.723460i \(0.742551\pi\)
\(12\) −0.479249 0.877679i −0.138347 0.253364i
\(13\) 3.64999 + 1.36138i 1.01233 + 0.377578i 0.800244 0.599674i \(-0.204703\pi\)
0.212081 + 0.977252i \(0.431976\pi\)
\(14\) 0.110392 0.767791i 0.0295034 0.205201i
\(15\) −2.16442 + 0.561523i −0.558850 + 0.144985i
\(16\) −0.415415 + 0.909632i −0.103854 + 0.227408i
\(17\) −3.47850 + 0.756701i −0.843660 + 0.183527i −0.613568 0.789642i \(-0.710266\pi\)
−0.230092 + 0.973169i \(0.573903\pi\)
\(18\) −0.800541 0.599278i −0.188689 0.141251i
\(19\) −3.10501 + 1.99547i −0.712339 + 0.457792i −0.845964 0.533240i \(-0.820974\pi\)
0.133626 + 0.991032i \(0.457338\pi\)
\(20\) 1.74661 + 1.39620i 0.390553 + 0.312199i
\(21\) −0.218536 0.744266i −0.0476885 0.162412i
\(22\) 4.16815 4.16815i 0.888653 0.888653i
\(23\) 0.782098 4.73163i 0.163079 0.986613i
\(24\) 1.00000i 0.204124i
\(25\) 3.97898 3.02782i 0.795796 0.605565i
\(26\) −2.55108 2.94411i −0.500308 0.577387i
\(27\) −0.977147 0.212565i −0.188052 0.0409082i
\(28\) −0.464852 + 0.620969i −0.0878487 + 0.117352i
\(29\) −4.42134 + 6.87974i −0.821023 + 1.27754i 0.136922 + 0.990582i \(0.456279\pi\)
−0.957944 + 0.286954i \(0.907357\pi\)
\(30\) 2.16877 + 0.544457i 0.395962 + 0.0994038i
\(31\) −0.455780 + 0.525998i −0.0818605 + 0.0944721i −0.795202 0.606344i \(-0.792635\pi\)
0.713342 + 0.700816i \(0.247181\pi\)
\(32\) 0.800541 0.599278i 0.141517 0.105938i
\(33\) 2.05997 5.52300i 0.358595 0.961431i
\(34\) 3.41565 + 1.00293i 0.585780 + 0.172000i
\(35\) 1.09365 + 1.34625i 0.184860 + 0.227557i
\(36\) 0.415415 + 0.909632i 0.0692358 + 0.151605i
\(37\) 3.93943 + 5.26246i 0.647638 + 0.865142i 0.997427 0.0716858i \(-0.0228379\pi\)
−0.349790 + 0.936828i \(0.613747\pi\)
\(38\) 3.68153 0.263308i 0.597223 0.0427142i
\(39\) −3.54357 1.61829i −0.567426 0.259135i
\(40\) −0.863835 2.06247i −0.136584 0.326105i
\(41\) 0.0215894 + 0.150158i 0.00337170 + 0.0234507i 0.991438 0.130580i \(-0.0416838\pi\)
−0.988066 + 0.154030i \(0.950775\pi\)
\(42\) −0.164884 + 0.757960i −0.0254422 + 0.116956i
\(43\) −0.836505 + 11.6959i −0.127566 + 1.78360i 0.382985 + 0.923755i \(0.374896\pi\)
−0.510551 + 0.859848i \(0.670558\pi\)
\(44\) −5.65588 + 1.66072i −0.852657 + 0.250363i
\(45\) 2.19896 0.405684i 0.327801 0.0604758i
\(46\) −2.95406 + 3.77803i −0.435552 + 0.557040i
\(47\) −0.875308 0.875308i −0.127677 0.127677i 0.640381 0.768058i \(-0.278777\pi\)
−0.768058 + 0.640381i \(0.778777\pi\)
\(48\) 0.479249 0.877679i 0.0691736 0.126682i
\(49\) 4.83552 4.19000i 0.690789 0.598572i
\(50\) −4.94335 + 0.750534i −0.699095 + 0.106142i
\(51\) 3.52362 0.506620i 0.493405 0.0709409i
\(52\) 0.828071 + 3.80658i 0.114833 + 0.527878i
\(53\) 8.51077 3.17435i 1.16904 0.436031i 0.311402 0.950278i \(-0.399201\pi\)
0.857642 + 0.514247i \(0.171929\pi\)
\(54\) 0.755750 + 0.654861i 0.102844 + 0.0891153i
\(55\) 0.522329 + 13.1705i 0.0704308 + 1.77591i
\(56\) 0.705590 0.322232i 0.0942884 0.0430601i
\(57\) 3.23946 1.76888i 0.429076 0.234293i
\(58\) 7.17763 3.91928i 0.942469 0.514627i
\(59\) −11.6922 + 5.33967i −1.52220 + 0.695166i −0.988599 0.150571i \(-0.951889\pi\)
−0.533601 + 0.845736i \(0.679162\pi\)
\(60\) −1.64255 1.51724i −0.212053 0.195875i
\(61\) 9.88231 + 8.56307i 1.26530 + 1.09639i 0.990876 + 0.134779i \(0.0430326\pi\)
0.274424 + 0.961609i \(0.411513\pi\)
\(62\) 0.652113 0.243225i 0.0828184 0.0308897i
\(63\) 0.164884 + 0.757960i 0.0207734 + 0.0954940i
\(64\) −0.989821 + 0.142315i −0.123728 + 0.0177894i
\(65\) 8.70645 + 0.276624i 1.07990 + 0.0343110i
\(66\) −4.45489 + 3.86018i −0.548359 + 0.475155i
\(67\) 6.73221 12.3291i 0.822470 1.50624i −0.0394640 0.999221i \(-0.512565\pi\)
0.861934 0.507020i \(-0.169253\pi\)
\(68\) −2.51720 2.51720i −0.305255 0.305255i
\(69\) −1.11766 + 4.66378i −0.134550 + 0.561453i
\(70\) −0.314684 1.70570i −0.0376119 0.203871i
\(71\) 7.40082 2.17308i 0.878316 0.257897i 0.188667 0.982041i \(-0.439583\pi\)
0.689648 + 0.724144i \(0.257765\pi\)
\(72\) 0.0713392 0.997452i 0.00840740 0.117551i
\(73\) −0.107206 + 0.492818i −0.0125475 + 0.0576800i −0.982995 0.183633i \(-0.941214\pi\)
0.970447 + 0.241313i \(0.0775779\pi\)
\(74\) −0.935524 6.50671i −0.108752 0.756390i
\(75\) −4.18485 + 2.73625i −0.483224 + 0.315955i
\(76\) −3.35739 1.53327i −0.385119 0.175878i
\(77\) −4.56076 + 0.326192i −0.519747 + 0.0371730i
\(78\) 2.33455 + 3.11860i 0.264336 + 0.353111i
\(79\) 6.48309 + 14.1960i 0.729404 + 1.59717i 0.800237 + 0.599684i \(0.204707\pi\)
−0.0708326 + 0.997488i \(0.522566\pi\)
\(80\) −0.230267 + 2.22418i −0.0257446 + 0.248671i
\(81\) 0.959493 + 0.281733i 0.106610 + 0.0313036i
\(82\) 0.0530144 0.142137i 0.00585446 0.0156964i
\(83\) 2.80499 2.09979i 0.307888 0.230482i −0.434149 0.900841i \(-0.642951\pi\)
0.742037 + 0.670359i \(0.233860\pi\)
\(84\) 0.507967 0.586225i 0.0554237 0.0639624i
\(85\) −6.82972 + 4.08871i −0.740788 + 0.443483i
\(86\) 6.33941 9.86432i 0.683596 1.06370i
\(87\) 4.90087 6.54680i 0.525429 0.701890i
\(88\) 5.75995 + 1.25300i 0.614013 + 0.133570i
\(89\) 0.988512 + 1.14080i 0.104782 + 0.120925i 0.805718 0.592299i \(-0.201780\pi\)
−0.700936 + 0.713224i \(0.747234\pi\)
\(90\) −2.12440 0.697788i −0.223932 0.0735533i
\(91\) 3.02177i 0.316768i
\(92\) 4.40333 1.90017i 0.459079 0.198106i
\(93\) 0.492143 0.492143i 0.0510328 0.0510328i
\(94\) 0.348749 + 1.18773i 0.0359707 + 0.122505i
\(95\) −5.15327 + 6.44662i −0.528714 + 0.661409i
\(96\) −0.841254 + 0.540641i −0.0858601 + 0.0551789i
\(97\) −3.94307 2.95174i −0.400358 0.299704i 0.380061 0.924962i \(-0.375903\pi\)
−0.780419 + 0.625257i \(0.784994\pi\)
\(98\) −6.25209 + 1.36006i −0.631556 + 0.137387i
\(99\) −2.44873 + 5.36197i −0.246107 + 0.538898i
\(100\) 4.69837 + 1.71037i 0.469837 + 0.171037i
\(101\) 1.46023 10.1561i 0.145298 1.01057i −0.778488 0.627660i \(-0.784013\pi\)
0.923786 0.382910i \(-0.125078\pi\)
\(102\) −3.33540 1.24404i −0.330254 0.123178i
\(103\) 7.76239 + 14.2158i 0.764851 + 1.40072i 0.911402 + 0.411516i \(0.135001\pi\)
−0.146552 + 0.989203i \(0.546817\pi\)
\(104\) 1.09752 3.73781i 0.107621 0.366522i
\(105\) −0.994821 1.42084i −0.0970846 0.138660i
\(106\) −8.99103 1.29271i −0.873286 0.125560i
\(107\) −1.07578 15.0414i −0.104000 1.45411i −0.734863 0.678216i \(-0.762753\pi\)
0.630863 0.775895i \(-0.282701\pi\)
\(108\) −0.349464 0.936950i −0.0336272 0.0901580i
\(109\) −10.2489 6.58658i −0.981668 0.630880i −0.0517554 0.998660i \(-0.516482\pi\)
−0.929913 + 0.367780i \(0.880118\pi\)
\(110\) 5.85351 11.8098i 0.558111 1.12602i
\(111\) −3.55397 5.53008i −0.337328 0.524892i
\(112\) −0.773710 0.0553369i −0.0731088 0.00522884i
\(113\) −10.2436 5.59343i −0.963636 0.526185i −0.0812413 0.996694i \(-0.525888\pi\)
−0.882395 + 0.470509i \(0.844070\pi\)
\(114\) −3.69094 −0.345688
\(115\) −1.72360 10.5844i −0.160727 0.986999i
\(116\) −8.17797 −0.759305
\(117\) 3.41909 + 1.86697i 0.316095 + 0.172601i
\(118\) 12.8211 + 0.916981i 1.18027 + 0.0844149i
\(119\) −1.49289 2.32298i −0.136853 0.212947i
\(120\) 0.714499 + 2.11884i 0.0652246 + 0.193423i
\(121\) −19.9773 12.8386i −1.81611 1.16715i
\(122\) −4.56965 12.2517i −0.413717 1.10922i
\(123\) −0.0108223 0.151315i −0.000975813 0.0136436i
\(124\) −0.688911 0.0990505i −0.0618660 0.00889499i
\(125\) 6.26745 9.25846i 0.560578 0.828102i
\(126\) 0.218536 0.744266i 0.0194688 0.0663045i
\(127\) −2.45876 4.50288i −0.218180 0.399566i 0.745549 0.666451i \(-0.232187\pi\)
−0.963728 + 0.266885i \(0.914006\pi\)
\(128\) 0.936950 + 0.349464i 0.0828154 + 0.0308886i
\(129\) 1.66875 11.6064i 0.146925 1.02189i
\(130\) −7.50890 4.41535i −0.658574 0.387252i
\(131\) −4.19911 + 9.19477i −0.366878 + 0.803351i 0.632702 + 0.774395i \(0.281946\pi\)
−0.999581 + 0.0289562i \(0.990782\pi\)
\(132\) 5.75995 1.25300i 0.501339 0.109060i
\(133\) −2.29196 1.71574i −0.198738 0.148773i
\(134\) −11.8174 + 7.59460i −1.02087 + 0.656074i
\(135\) −2.22230 + 0.247779i −0.191265 + 0.0213254i
\(136\) 1.00293 + 3.41565i 0.0860002 + 0.292890i
\(137\) −10.2686 + 10.2686i −0.877307 + 0.877307i −0.993255 0.115948i \(-0.963009\pi\)
0.115948 + 0.993255i \(0.463009\pi\)
\(138\) 3.21606 3.55767i 0.273769 0.302849i
\(139\) 8.45001i 0.716721i 0.933583 + 0.358360i \(0.116664\pi\)
−0.933583 + 0.358360i \(0.883336\pi\)
\(140\) −0.541265 + 1.64787i −0.0457453 + 0.139271i
\(141\) 0.810634 + 0.935521i 0.0682677 + 0.0787851i
\(142\) −7.53699 1.63957i −0.632490 0.137590i
\(143\) −13.7614 + 18.3831i −1.15079 + 1.53727i
\(144\) −0.540641 + 0.841254i −0.0450534 + 0.0701045i
\(145\) −4.45255 + 17.7361i −0.369764 + 1.47291i
\(146\) 0.330275 0.381158i 0.0273338 0.0315448i
\(147\) −5.12211 + 3.83436i −0.422465 + 0.316253i
\(148\) −2.29725 + 6.15915i −0.188832 + 0.506279i
\(149\) 18.8481 + 5.53431i 1.54410 + 0.453389i 0.939331 0.343012i \(-0.111447\pi\)
0.604769 + 0.796401i \(0.293265\pi\)
\(150\) 4.98430 0.395967i 0.406966 0.0323306i
\(151\) −3.70797 8.11933i −0.301751 0.660742i 0.696642 0.717419i \(-0.254677\pi\)
−0.998393 + 0.0566772i \(0.981949\pi\)
\(152\) 2.21189 + 2.95475i 0.179408 + 0.239662i
\(153\) −3.55078 + 0.253957i −0.287064 + 0.0205312i
\(154\) 4.15921 + 1.89945i 0.335159 + 0.153062i
\(155\) −0.589900 + 1.44016i −0.0473819 + 0.115677i
\(156\) −0.554403 3.85596i −0.0443878 0.308724i
\(157\) 3.82423 17.5797i 0.305207 1.40301i −0.527620 0.849480i \(-0.676916\pi\)
0.832827 0.553533i \(-0.186721\pi\)
\(158\) 1.11334 15.5665i 0.0885726 1.23841i
\(159\) −8.71554 + 2.55911i −0.691187 + 0.202951i
\(160\) 1.26804 1.84176i 0.100247 0.145604i
\(161\) 3.65086 0.714212i 0.287728 0.0562878i
\(162\) −0.707107 0.707107i −0.0555556 0.0555556i
\(163\) 5.51798 10.1054i 0.432202 0.791518i −0.567286 0.823521i \(-0.692007\pi\)
0.999488 + 0.0320025i \(0.0101885\pi\)
\(164\) −0.114649 + 0.0993436i −0.00895255 + 0.00775743i
\(165\) 0.418575 13.1742i 0.0325860 1.02561i
\(166\) −3.46821 + 0.498653i −0.269185 + 0.0387030i
\(167\) −0.335639 1.54291i −0.0259726 0.119394i 0.962335 0.271865i \(-0.0876405\pi\)
−0.988308 + 0.152471i \(0.951277\pi\)
\(168\) −0.726780 + 0.271075i −0.0560723 + 0.0209139i
\(169\) 1.64434 + 1.42483i 0.126488 + 0.109602i
\(170\) 7.95382 0.315440i 0.610030 0.0241932i
\(171\) −3.35739 + 1.53327i −0.256746 + 0.117252i
\(172\) −10.2914 + 5.61955i −0.784714 + 0.428487i
\(173\) −12.0382 + 6.57333i −0.915244 + 0.499761i −0.866571 0.499054i \(-0.833681\pi\)
−0.0486731 + 0.998815i \(0.515499\pi\)
\(174\) −7.43894 + 3.39725i −0.563945 + 0.257545i
\(175\) 3.27916 + 2.07108i 0.247881 + 0.156559i
\(176\) −4.45489 3.86018i −0.335800 0.290972i
\(177\) 12.0434 4.49195i 0.905236 0.337635i
\(178\) −0.320867 1.47500i −0.0240500 0.110556i
\(179\) −2.65863 + 0.382254i −0.198716 + 0.0285710i −0.240954 0.970537i \(-0.577460\pi\)
0.0422382 + 0.999108i \(0.486551\pi\)
\(180\) 1.53013 + 1.63055i 0.114049 + 0.121534i
\(181\) 15.1217 13.1030i 1.12399 0.973941i 0.124156 0.992263i \(-0.460378\pi\)
0.999832 + 0.0183213i \(0.00583218\pi\)
\(182\) 1.44818 2.65215i 0.107346 0.196590i
\(183\) −9.24624 9.24624i −0.683502 0.683502i
\(184\) −4.77537 0.442555i −0.352045 0.0326256i
\(185\) 12.1070 + 8.33559i 0.890127 + 0.612845i
\(186\) −0.667803 + 0.196085i −0.0489657 + 0.0143776i
\(187\) 1.49699 20.9306i 0.109471 1.53060i
\(188\) 0.263129 1.20958i 0.0191906 0.0882179i
\(189\) −0.110392 0.767791i −0.00802982 0.0558486i
\(190\) 7.61245 3.18836i 0.552265 0.231308i
\(191\) −4.93363 2.25311i −0.356985 0.163030i 0.228846 0.973463i \(-0.426505\pi\)
−0.585831 + 0.810433i \(0.699232\pi\)
\(192\) 0.997452 0.0713392i 0.0719849 0.00514846i
\(193\) −9.20060 12.2906i −0.662273 0.884694i 0.336093 0.941829i \(-0.390894\pi\)
−0.998366 + 0.0571350i \(0.981803\pi\)
\(194\) 2.04613 + 4.48039i 0.146903 + 0.321674i
\(195\) −8.66454 0.897031i −0.620480 0.0642377i
\(196\) 6.13913 + 1.80261i 0.438510 + 0.128758i
\(197\) −4.91167 + 13.1687i −0.349942 + 0.938232i 0.636081 + 0.771623i \(0.280555\pi\)
−0.986023 + 0.166609i \(0.946718\pi\)
\(198\) 4.71892 3.53254i 0.335359 0.251047i
\(199\) −0.953648 + 1.10057i −0.0676023 + 0.0780172i −0.788543 0.614979i \(-0.789164\pi\)
0.720941 + 0.692996i \(0.243710\pi\)
\(200\) −3.30397 3.75284i −0.233626 0.265366i
\(201\) −7.59460 + 11.8174i −0.535682 + 0.833538i
\(202\) −6.14891 + 8.21399i −0.432636 + 0.577934i
\(203\) −6.19857 1.34842i −0.435054 0.0946403i
\(204\) 2.33121 + 2.69036i 0.163217 + 0.188363i
\(205\) 0.153032 + 0.302735i 0.0106882 + 0.0211439i
\(206\) 16.1970i 1.12850i
\(207\) 1.44752 4.57216i 0.100610 0.317787i
\(208\) −2.75461 + 2.75461i −0.190998 + 0.190998i
\(209\) −6.12960 20.8755i −0.423993 1.44399i
\(210\) 0.192199 + 1.72381i 0.0132630 + 0.118954i
\(211\) 6.60190 4.24278i 0.454493 0.292085i −0.293295 0.956022i \(-0.594752\pi\)
0.747789 + 0.663937i \(0.231116\pi\)
\(212\) 7.27170 + 5.44353i 0.499423 + 0.373863i
\(213\) −7.53699 + 1.63957i −0.516426 + 0.112342i
\(214\) −6.26440 + 13.7171i −0.428226 + 0.937683i
\(215\) 6.58427 + 25.3794i 0.449043 + 1.73086i
\(216\) −0.142315 + 0.989821i −0.00968330 + 0.0673488i
\(217\) −0.505835 0.188667i −0.0343383 0.0128075i
\(218\) 5.83865 + 10.6927i 0.395443 + 0.724200i
\(219\) 0.142090 0.483915i 0.00960156 0.0326999i
\(220\) −10.7973 + 7.55992i −0.727957 + 0.509690i
\(221\) −13.7266 1.97359i −0.923354 0.132758i
\(222\) 0.468957 + 6.55687i 0.0314743 + 0.440069i
\(223\) 0.0782052 + 0.209676i 0.00523701 + 0.0140410i 0.939542 0.342434i \(-0.111251\pi\)
−0.934305 + 0.356475i \(0.883979\pi\)
\(224\) 0.652549 + 0.419368i 0.0436003 + 0.0280202i
\(225\) 4.36938 2.43074i 0.291292 0.162049i
\(226\) 6.30994 + 9.81847i 0.419731 + 0.653115i
\(227\) −0.593085 0.0424182i −0.0393644 0.00281540i 0.0516431 0.998666i \(-0.483554\pi\)
−0.0910075 + 0.995850i \(0.529009\pi\)
\(228\) 3.23946 + 1.76888i 0.214538 + 0.117147i
\(229\) 0.358862 0.0237143 0.0118571 0.999930i \(-0.496226\pi\)
0.0118571 + 0.999930i \(0.496226\pi\)
\(230\) −3.55978 + 10.1157i −0.234725 + 0.667011i
\(231\) 4.57241 0.300842
\(232\) 7.17763 + 3.91928i 0.471234 + 0.257313i
\(233\) 16.4286 + 1.17500i 1.07628 + 0.0769767i 0.598204 0.801344i \(-0.295881\pi\)
0.478072 + 0.878321i \(0.341336\pi\)
\(234\) −2.10613 3.27720i −0.137682 0.214237i
\(235\) −2.48005 1.22923i −0.161780 0.0801862i
\(236\) −10.8133 6.94930i −0.703887 0.452361i
\(237\) −5.45384 14.6223i −0.354265 0.949821i
\(238\) 0.196991 + 2.75429i 0.0127690 + 0.178534i
\(239\) 18.4280 + 2.64954i 1.19201 + 0.171385i 0.709627 0.704577i \(-0.248863\pi\)
0.482380 + 0.875962i \(0.339773\pi\)
\(240\) 0.388352 2.20209i 0.0250680 0.142144i
\(241\) −0.249155 + 0.848545i −0.0160495 + 0.0546596i −0.967128 0.254288i \(-0.918159\pi\)
0.951079 + 0.308948i \(0.0999769\pi\)
\(242\) 11.3807 + 20.8423i 0.731581 + 1.33979i
\(243\) −0.936950 0.349464i −0.0601054 0.0224181i
\(244\) −1.86093 + 12.9431i −0.119134 + 0.828595i
\(245\) 7.25195 12.3329i 0.463310 0.787922i
\(246\) −0.0630192 + 0.137993i −0.00401796 + 0.00879810i
\(247\) −14.0498 + 3.05636i −0.893971 + 0.194471i
\(248\) 0.557173 + 0.417094i 0.0353805 + 0.0264855i
\(249\) −2.94764 + 1.89433i −0.186799 + 0.120049i
\(250\) −9.93792 + 5.12228i −0.628529 + 0.323962i
\(251\) −0.916603 3.12166i −0.0578555 0.197038i 0.925494 0.378762i \(-0.123650\pi\)
−0.983349 + 0.181725i \(0.941832\pi\)
\(252\) −0.548493 + 0.548493i −0.0345518 + 0.0345518i
\(253\) 25.4627 + 12.2814i 1.60083 + 0.772122i
\(254\) 5.13045i 0.321913i
\(255\) 7.10401 3.59107i 0.444870 0.224881i
\(256\) −0.654861 0.755750i −0.0409288 0.0472343i
\(257\) −10.0141 2.17844i −0.624663 0.135887i −0.110917 0.993830i \(-0.535379\pi\)
−0.513746 + 0.857943i \(0.671742\pi\)
\(258\) −7.02697 + 9.38694i −0.437480 + 0.584405i
\(259\) −2.75677 + 4.28961i −0.171297 + 0.266544i
\(260\) 4.47435 + 7.47389i 0.277488 + 0.463511i
\(261\) −5.35543 + 6.18049i −0.331493 + 0.382563i
\(262\) 8.09206 6.05764i 0.499929 0.374242i
\(263\) 3.79624 10.1781i 0.234086 0.627610i −0.765794 0.643086i \(-0.777654\pi\)
0.999880 + 0.0154761i \(0.00492641\pi\)
\(264\) −5.65588 1.66072i −0.348096 0.102210i
\(265\) 15.7649 12.8069i 0.968430 0.786721i
\(266\) 1.18934 + 2.60429i 0.0729229 + 0.159679i
\(267\) −0.904610 1.20842i −0.0553612 0.0739539i
\(268\) 14.0116 1.00213i 0.855896 0.0612149i
\(269\) 0.155333 + 0.0709382i 0.00947083 + 0.00432518i 0.420145 0.907457i \(-0.361979\pi\)
−0.410674 + 0.911782i \(0.634707\pi\)
\(270\) 2.06921 + 0.847564i 0.125928 + 0.0515811i
\(271\) −3.24048 22.5380i −0.196845 1.36909i −0.813368 0.581750i \(-0.802368\pi\)
0.616523 0.787337i \(-0.288541\pi\)
\(272\) 0.756701 3.47850i 0.0458817 0.210915i
\(273\) 0.215571 3.01407i 0.0130469 0.182420i
\(274\) 13.9338 4.09132i 0.841770 0.247166i
\(275\) 10.5171 + 27.5330i 0.634202 + 1.66030i
\(276\) −4.52767 + 1.58120i −0.272534 + 0.0951769i
\(277\) −0.179460 0.179460i −0.0107827 0.0107827i 0.701695 0.712478i \(-0.252427\pi\)
−0.712478 + 0.701695i \(0.752427\pi\)
\(278\) 4.04966 7.41640i 0.242882 0.444806i
\(279\) −0.525998 + 0.455780i −0.0314907 + 0.0272868i
\(280\) 1.26480 1.18690i 0.0755861 0.0709310i
\(281\) −0.142098 + 0.0204307i −0.00847688 + 0.00121879i −0.146552 0.989203i \(-0.546818\pi\)
0.138075 + 0.990422i \(0.455908\pi\)
\(282\) −0.263129 1.20958i −0.0156691 0.0720296i
\(283\) −30.2609 + 11.2867i −1.79883 + 0.670928i −0.801488 + 0.598010i \(0.795958\pi\)
−0.997338 + 0.0729171i \(0.976769\pi\)
\(284\) 5.82929 + 5.05111i 0.345905 + 0.299728i
\(285\) 5.60003 6.06256i 0.331717 0.359115i
\(286\) 20.8881 9.53930i 1.23514 0.564070i
\(287\) −0.103279 + 0.0563947i −0.00609638 + 0.00332888i
\(288\) 0.877679 0.479249i 0.0517177 0.0282400i
\(289\) −3.93639 + 1.79769i −0.231553 + 0.105747i
\(290\) 12.4079 13.4327i 0.728619 0.788798i
\(291\) 3.72245 + 3.22552i 0.218214 + 0.189083i
\(292\) −0.472545 + 0.176250i −0.0276536 + 0.0103143i
\(293\) 1.08344 + 4.98049i 0.0632952 + 0.290963i 0.997904 0.0647144i \(-0.0206136\pi\)
−0.934609 + 0.355678i \(0.884250\pi\)
\(294\) 6.33318 0.910574i 0.369359 0.0531058i
\(295\) −20.9588 + 19.6680i −1.22027 + 1.14512i
\(296\) 4.96801 4.30481i 0.288760 0.250212i
\(297\) 2.82501 5.17362i 0.163924 0.300204i
\(298\) −13.8903 13.8903i −0.804644 0.804644i
\(299\) 9.29618 16.2057i 0.537612 0.937198i
\(300\) −4.56438 2.04119i −0.263525 0.117848i
\(301\) −8.72707 + 2.56250i −0.503020 + 0.147700i
\(302\) −0.636770 + 8.90321i −0.0366420 + 0.512322i
\(303\) −2.18103 + 10.0261i −0.125297 + 0.575982i
\(304\) −0.525275 3.65337i −0.0301266 0.209535i
\(305\) 27.0573 + 11.0829i 1.54930 + 0.634604i
\(306\) 3.23815 + 1.47882i 0.185113 + 0.0845383i
\(307\) 12.4573 0.890962i 0.710974 0.0508499i 0.288833 0.957380i \(-0.406733\pi\)
0.422142 + 0.906530i \(0.361278\pi\)
\(308\) −2.74014 3.66040i −0.156134 0.208571i
\(309\) −6.72847 14.7333i −0.382769 0.838148i
\(310\) 1.20794 0.981290i 0.0686063 0.0557335i
\(311\) 5.80163 + 1.70351i 0.328980 + 0.0965974i 0.442052 0.896989i \(-0.354251\pi\)
−0.113071 + 0.993587i \(0.536069\pi\)
\(312\) −1.36138 + 3.64999i −0.0770727 + 0.206640i
\(313\) −4.96472 + 3.71654i −0.280622 + 0.210071i −0.730312 0.683113i \(-0.760625\pi\)
0.449690 + 0.893185i \(0.351535\pi\)
\(314\) −11.7815 + 13.5966i −0.664869 + 0.767299i
\(315\) 0.890925 + 1.48819i 0.0501980 + 0.0838499i
\(316\) −8.43740 + 13.1288i −0.474641 + 0.738555i
\(317\) 8.02425 10.7191i 0.450687 0.602047i −0.516446 0.856320i \(-0.672745\pi\)
0.967133 + 0.254273i \(0.0818361\pi\)
\(318\) 8.87590 + 1.93083i 0.497736 + 0.108276i
\(319\) −31.5684 36.4319i −1.76749 2.03980i
\(320\) −1.99559 + 1.00877i −0.111557 + 0.0563919i
\(321\) 15.0799i 0.841676i
\(322\) −3.54657 1.12282i −0.197642 0.0625724i
\(323\) 9.29080 9.29080i 0.516954 0.516954i
\(324\) 0.281733 + 0.959493i 0.0156518 + 0.0533052i
\(325\) 18.6452 5.63463i 1.03425 0.312553i
\(326\) −9.68603 + 6.22483i −0.536460 + 0.344762i
\(327\) 9.75292 + 7.30095i 0.539338 + 0.403743i
\(328\) 0.148235 0.0322465i 0.00818491 0.00178052i
\(329\) 0.398882 0.873429i 0.0219911 0.0481537i
\(330\) −6.68110 + 11.3621i −0.367783 + 0.625465i
\(331\) 1.61451 11.2292i 0.0887416 0.617212i −0.896113 0.443827i \(-0.853621\pi\)
0.984854 0.173385i \(-0.0554704\pi\)
\(332\) 3.28295 + 1.22448i 0.180175 + 0.0672019i
\(333\) 3.15040 + 5.76953i 0.172641 + 0.316168i
\(334\) −0.444854 + 1.51503i −0.0243413 + 0.0828990i
\(335\) 5.45533 30.9336i 0.298057 1.69008i
\(336\) 0.767791 + 0.110392i 0.0418865 + 0.00602236i
\(337\) −1.68486 23.5574i −0.0917803 1.28326i −0.809581 0.587008i \(-0.800306\pi\)
0.717801 0.696248i \(-0.245149\pi\)
\(338\) −0.760355 2.03859i −0.0413579 0.110885i
\(339\) 9.81847 + 6.30994i 0.533266 + 0.342709i
\(340\) −7.13207 3.53500i −0.386791 0.191712i
\(341\) −2.21806 3.45137i −0.120115 0.186902i
\(342\) 3.68153 + 0.263308i 0.199074 + 0.0142381i
\(343\) 9.12162 + 4.98078i 0.492521 + 0.268937i
\(344\) 11.7257 0.632209
\(345\) 0.964132 + 10.6804i 0.0519071 + 0.575012i
\(346\) 13.7159 0.737371
\(347\) 11.4087 + 6.22962i 0.612451 + 0.334424i 0.755358 0.655313i \(-0.227463\pi\)
−0.142907 + 0.989736i \(0.545645\pi\)
\(348\) 8.15713 + 0.583409i 0.437268 + 0.0312740i
\(349\) 7.40403 + 11.5209i 0.396329 + 0.616699i 0.980870 0.194665i \(-0.0623619\pi\)
−0.584541 + 0.811364i \(0.698726\pi\)
\(350\) −1.88549 3.38927i −0.100784 0.181164i
\(351\) −3.27720 2.10613i −0.174924 0.112417i
\(352\) 2.05997 + 5.52300i 0.109797 + 0.294377i
\(353\) 1.53683 + 21.4877i 0.0817971 + 1.14367i 0.858158 + 0.513385i \(0.171609\pi\)
−0.776361 + 0.630288i \(0.782937\pi\)
\(354\) −12.7230 1.82929i −0.676219 0.0972256i
\(355\) 14.1285 9.89229i 0.749863 0.525028i
\(356\) −0.425275 + 1.44835i −0.0225395 + 0.0767626i
\(357\) 1.32336 + 2.42356i 0.0700399 + 0.128268i
\(358\) 2.51662 + 0.938652i 0.133008 + 0.0496093i
\(359\) 3.24093 22.5412i 0.171050 1.18968i −0.705622 0.708588i \(-0.749333\pi\)
0.876672 0.481088i \(-0.159758\pi\)
\(360\) −0.561523 2.16442i −0.0295948 0.114075i
\(361\) −2.23369 + 4.89109i −0.117562 + 0.257426i
\(362\) −19.5516 + 4.25320i −1.02761 + 0.223543i
\(363\) 19.0105 + 14.2311i 0.997790 + 0.746937i
\(364\) −2.54208 + 1.63369i −0.133241 + 0.0856288i
\(365\) 0.124966 + 1.12080i 0.00654101 + 0.0586655i
\(366\) 3.68398 + 12.5465i 0.192565 + 0.655815i
\(367\) −17.0929 + 17.0929i −0.892242 + 0.892242i −0.994734 0.102492i \(-0.967318\pi\)
0.102492 + 0.994734i \(0.467318\pi\)
\(368\) 3.97915 + 2.67701i 0.207427 + 0.139549i
\(369\) 0.151702i 0.00789728i
\(370\) −6.63127 13.1183i −0.344743 0.681986i
\(371\) 4.61411 + 5.32497i 0.239553 + 0.276458i
\(372\) 0.680090 + 0.147944i 0.0352610 + 0.00767056i
\(373\) 3.32475 4.44134i 0.172149 0.229964i −0.706166 0.708046i \(-0.749577\pi\)
0.878315 + 0.478082i \(0.158668\pi\)
\(374\) −11.3449 + 17.6530i −0.586629 + 0.912813i
\(375\) −6.91198 + 8.78775i −0.356933 + 0.453798i
\(376\) −0.810634 + 0.935521i −0.0418052 + 0.0482458i
\(377\) −25.5038 + 19.0919i −1.31351 + 0.983282i
\(378\) −0.271075 + 0.726780i −0.0139426 + 0.0373815i
\(379\) 12.7300 + 3.73787i 0.653897 + 0.192001i 0.591820 0.806070i \(-0.298410\pi\)
0.0620764 + 0.998071i \(0.480228\pi\)
\(380\) −8.20930 0.849901i −0.421128 0.0435990i
\(381\) 2.13126 + 4.66682i 0.109188 + 0.239088i
\(382\) 3.25034 + 4.34195i 0.166302 + 0.222154i
\(383\) −6.43509 + 0.460246i −0.328817 + 0.0235175i −0.234772 0.972050i \(-0.575434\pi\)
−0.0940453 + 0.995568i \(0.529980\pi\)
\(384\) −0.909632 0.415415i −0.0464195 0.0211991i
\(385\) −9.43046 + 3.94981i −0.480621 + 0.201301i
\(386\) 2.18493 + 15.1965i 0.111210 + 0.773484i
\(387\) −2.49248 + 11.4578i −0.126700 + 0.582431i
\(388\) 0.351381 4.91295i 0.0178387 0.249417i
\(389\) −21.1877 + 6.22126i −1.07426 + 0.315430i −0.770579 0.637344i \(-0.780033\pi\)
−0.303678 + 0.952775i \(0.598215\pi\)
\(390\) 7.17478 + 4.93978i 0.363309 + 0.250135i
\(391\) 0.859901 + 17.0508i 0.0434871 + 0.862295i
\(392\) −4.52429 4.52429i −0.228511 0.228511i
\(393\) 4.84436 8.87179i 0.244366 0.447522i
\(394\) 10.6220 9.20398i 0.535127 0.463690i
\(395\) 23.8797 + 25.4469i 1.20152 + 1.28037i
\(396\) −5.83466 + 0.838898i −0.293203 + 0.0421562i
\(397\) 3.48642 + 16.0268i 0.174979 + 0.804363i 0.978032 + 0.208456i \(0.0668438\pi\)
−0.803053 + 0.595907i \(0.796793\pi\)
\(398\) 1.36444 0.508911i 0.0683934 0.0255094i
\(399\) 2.16372 + 1.87487i 0.108321 + 0.0938610i
\(400\) 1.10128 + 4.87721i 0.0550638 + 0.243861i
\(401\) 22.6478 10.3429i 1.13098 0.516501i 0.240103 0.970747i \(-0.422819\pi\)
0.890876 + 0.454247i \(0.150092\pi\)
\(402\) 12.3291 6.73221i 0.614920 0.335772i
\(403\) −2.37967 + 1.29940i −0.118540 + 0.0647277i
\(404\) 9.33332 4.26238i 0.464350 0.212061i
\(405\) 2.23431 0.0886105i 0.111024 0.00440309i
\(406\) 4.79413 + 4.15414i 0.237929 + 0.206166i
\(407\) −36.3061 + 13.5415i −1.79963 + 0.671226i
\(408\) −0.756701 3.47850i −0.0374623 0.172211i
\(409\) 5.08236 0.730732i 0.251306 0.0361324i −0.0155103 0.999880i \(-0.504937\pi\)
0.266817 + 0.963747i \(0.414028\pi\)
\(410\) 0.0107722 0.339045i 0.000532002 0.0167442i
\(411\) 10.9750 9.50989i 0.541357 0.469088i
\(412\) −7.76239 + 14.2158i −0.382425 + 0.700360i
\(413\) −7.05023 7.05023i −0.346919 0.346919i
\(414\) −3.46166 + 3.31917i −0.170131 + 0.163128i
\(415\) 4.44304 6.45329i 0.218100 0.316780i
\(416\) 3.73781 1.09752i 0.183261 0.0538103i
\(417\) 0.602817 8.42848i 0.0295201 0.412745i
\(418\) −4.62474 + 21.2596i −0.226204 + 1.03984i
\(419\) 3.22085 + 22.4015i 0.157349 + 1.09439i 0.903493 + 0.428602i \(0.140994\pi\)
−0.746144 + 0.665784i \(0.768097\pi\)
\(420\) 0.657444 1.60506i 0.0320800 0.0783189i
\(421\) −0.0852494 0.0389321i −0.00415480 0.00189743i 0.413337 0.910578i \(-0.364363\pi\)
−0.417491 + 0.908681i \(0.637091\pi\)
\(422\) −7.82769 + 0.559848i −0.381046 + 0.0272530i
\(423\) −0.741829 0.990967i −0.0360690 0.0481825i
\(424\) −3.77342 8.26263i −0.183253 0.401269i
\(425\) −11.5497 + 13.5432i −0.560244 + 0.656940i
\(426\) 7.40082 + 2.17308i 0.358571 + 0.105286i
\(427\) −3.54462 + 9.50349i −0.171536 + 0.459906i
\(428\) 12.0720 9.03702i 0.583525 0.436821i
\(429\) 15.0378 17.3545i 0.726030 0.837883i
\(430\) 6.38416 25.4304i 0.307872 1.22636i
\(431\) −0.836111 + 1.30101i −0.0402740 + 0.0626676i −0.860807 0.508932i \(-0.830041\pi\)
0.820533 + 0.571599i \(0.193677\pi\)
\(432\) 0.599278 0.800541i 0.0288328 0.0385161i
\(433\) −3.53880 0.769818i −0.170064 0.0369951i 0.126727 0.991938i \(-0.459553\pi\)
−0.296791 + 0.954943i \(0.595916\pi\)
\(434\) 0.353543 + 0.408010i 0.0169706 + 0.0195851i
\(435\) 5.70649 17.3733i 0.273605 0.832986i
\(436\) 12.1829i 0.583456i
\(437\) 7.01340 + 16.2524i 0.335496 + 0.777459i
\(438\) −0.356625 + 0.356625i −0.0170402 + 0.0170402i
\(439\) −0.567656 1.93326i −0.0270928 0.0922695i 0.944837 0.327541i \(-0.106220\pi\)
−0.971930 + 0.235272i \(0.924402\pi\)
\(440\) 13.0997 1.46057i 0.624503 0.0696300i
\(441\) 5.38260 3.45919i 0.256314 0.164723i
\(442\) 11.1017 + 8.31066i 0.528056 + 0.395298i
\(443\) −5.41278 + 1.17748i −0.257169 + 0.0559437i −0.339301 0.940678i \(-0.610191\pi\)
0.0821323 + 0.996621i \(0.473827\pi\)
\(444\) 2.73078 5.97958i 0.129597 0.283778i
\(445\) 2.90960 + 1.71089i 0.137928 + 0.0811040i
\(446\) 0.0318481 0.221508i 0.00150805 0.0104887i
\(447\) −18.4053 6.86482i −0.870541 0.324695i
\(448\) −0.371747 0.680804i −0.0175634 0.0321650i
\(449\) −3.06691 + 10.4450i −0.144737 + 0.492928i −0.999667 0.0258155i \(-0.991782\pi\)
0.854930 + 0.518743i \(0.173600\pi\)
\(450\) −4.99984 + 0.0393825i −0.235695 + 0.00185651i
\(451\) −0.885129 0.127262i −0.0416791 0.00599255i
\(452\) −0.832616 11.6415i −0.0391630 0.547570i
\(453\) 3.11930 + 8.36317i 0.146558 + 0.392936i
\(454\) 0.500209 + 0.321465i 0.0234760 + 0.0150871i
\(455\) 2.15906 + 6.40266i 0.101218 + 0.300161i
\(456\) −1.99547 3.10501i −0.0934465 0.145406i
\(457\) 15.0313 + 1.07506i 0.703132 + 0.0502890i 0.418327 0.908296i \(-0.362617\pi\)
0.284805 + 0.958585i \(0.408071\pi\)
\(458\) −0.314966 0.171984i −0.0147174 0.00803630i
\(459\) 3.55985 0.166160
\(460\) 7.97230 7.17234i 0.371710 0.334412i
\(461\) −20.1085 −0.936547 −0.468274 0.883584i \(-0.655124\pi\)
−0.468274 + 0.883584i \(0.655124\pi\)
\(462\) −4.01311 2.19132i −0.186707 0.101950i
\(463\) −15.4499 1.10500i −0.718017 0.0513536i −0.292451 0.956281i \(-0.594471\pi\)
−0.425567 + 0.904927i \(0.639925\pi\)
\(464\) −4.42134 6.87974i −0.205256 0.319384i
\(465\) 0.691137 1.39441i 0.0320507 0.0646642i
\(466\) −13.8559 8.90468i −0.641864 0.412501i
\(467\) −4.71479 12.6409i −0.218175 0.584949i 0.781044 0.624476i \(-0.214688\pi\)
−0.999218 + 0.0395273i \(0.987415\pi\)
\(468\) 0.277910 + 3.88568i 0.0128464 + 0.179616i
\(469\) 10.7855 + 1.55072i 0.498027 + 0.0716055i
\(470\) 1.58758 + 2.26743i 0.0732294 + 0.104589i
\(471\) −5.06861 + 17.2621i −0.233549 + 0.795395i
\(472\) 6.16018 + 11.2815i 0.283545 + 0.519274i
\(473\) −64.7612 24.1547i −2.97773 1.11063i
\(474\) −2.22101 + 15.4474i −0.102014 + 0.709524i
\(475\) −6.31285 + 17.3414i −0.289654 + 0.795676i
\(476\) 1.14710 2.51179i 0.0525771 0.115128i
\(477\) 8.87590 1.93083i 0.406399 0.0884068i
\(478\) −14.9041 11.1570i −0.681696 0.510311i
\(479\) 23.0458 14.8106i 1.05299 0.676714i 0.104822 0.994491i \(-0.466573\pi\)
0.948166 + 0.317777i \(0.102936\pi\)
\(480\) −1.39620 + 1.74661i −0.0637273 + 0.0797214i
\(481\) 7.21468 + 24.5710i 0.328961 + 1.12034i
\(482\) 0.625343 0.625343i 0.0284836 0.0284836i
\(483\) −3.69251 + 0.451943i −0.168015 + 0.0205641i
\(484\) 23.7470i 1.07941i
\(485\) −10.4638 3.43696i −0.475135 0.156064i
\(486\) 0.654861 + 0.755750i 0.0297051 + 0.0342815i
\(487\) 1.49402 + 0.325004i 0.0677005 + 0.0147274i 0.246288 0.969197i \(-0.420789\pi\)
−0.178587 + 0.983924i \(0.557153\pi\)
\(488\) 7.83625 10.4680i 0.354731 0.473864i
\(489\) −6.22483 + 9.68603i −0.281497 + 0.438018i
\(490\) −12.2754 + 7.34886i −0.554547 + 0.331988i
\(491\) 11.0808 12.7879i 0.500069 0.577111i −0.448459 0.893803i \(-0.648027\pi\)
0.948528 + 0.316693i \(0.102572\pi\)
\(492\) 0.121444 0.0909115i 0.00547510 0.00409861i
\(493\) 10.1737 27.2768i 0.458201 1.22849i
\(494\) 13.7960 + 4.05088i 0.620712 + 0.182257i
\(495\) −1.35735 + 13.1108i −0.0610082 + 0.589286i
\(496\) −0.289127 0.633100i −0.0129822 0.0284270i
\(497\) 3.58552 + 4.78970i 0.160833 + 0.214847i
\(498\) 3.49494 0.249963i 0.156612 0.0112011i
\(499\) −11.8295 5.40235i −0.529561 0.241843i 0.132646 0.991164i \(-0.457653\pi\)
−0.662207 + 0.749321i \(0.730380\pi\)
\(500\) 11.1772 + 0.267018i 0.499857 + 0.0119414i
\(501\) 0.224714 + 1.56292i 0.0100395 + 0.0698262i
\(502\) −0.691571 + 3.17910i −0.0308663 + 0.141890i
\(503\) 2.05131 28.6811i 0.0914634 1.27883i −0.719815 0.694166i \(-0.755773\pi\)
0.811279 0.584660i \(-0.198772\pi\)
\(504\) 0.744266 0.218536i 0.0331522 0.00973438i
\(505\) −4.16254 22.5625i −0.185231 1.00402i
\(506\) −16.4623 22.9821i −0.731837 1.02168i
\(507\) −1.53851 1.53851i −0.0683274 0.0683274i
\(508\) 2.45876 4.50288i 0.109090 0.199783i
\(509\) 25.7347 22.2992i 1.14067 0.988396i 0.140671 0.990056i \(-0.455074\pi\)
0.999999 + 0.00166013i \(0.000528435\pi\)
\(510\) −7.95605 0.252782i −0.352300 0.0111934i
\(511\) −0.387231 + 0.0556754i −0.0171301 + 0.00246294i
\(512\) 0.212565 + 0.977147i 0.00939415 + 0.0431842i
\(513\) 3.45822 1.28985i 0.152684 0.0569483i
\(514\) 7.74516 + 6.71122i 0.341624 + 0.296019i
\(515\) 26.6044 + 24.5747i 1.17233 + 1.08289i
\(516\) 10.6661 4.87105i 0.469549 0.214436i
\(517\) 6.40428 3.49700i 0.281660 0.153798i
\(518\) 4.47535 2.44373i 0.196636 0.107371i
\(519\) 12.4764 5.69779i 0.547654 0.250105i
\(520\) −0.345192 8.70401i −0.0151377 0.381696i
\(521\) 33.1732 + 28.7448i 1.45334 + 1.25933i 0.906573 + 0.422049i \(0.138689\pi\)
0.546772 + 0.837282i \(0.315856\pi\)
\(522\) 7.66234 2.85791i 0.335372 0.125087i
\(523\) −4.58828 21.0920i −0.200631 0.922287i −0.961804 0.273738i \(-0.911740\pi\)
0.761173 0.648549i \(-0.224624\pi\)
\(524\) −10.0053 + 1.43855i −0.437086 + 0.0628434i
\(525\) −3.12306 2.29973i −0.136301 0.100369i
\(526\) −8.20974 + 7.11378i −0.357962 + 0.310176i
\(527\) 1.18741 2.17457i 0.0517242 0.0947259i
\(528\) 4.16815 + 4.16815i 0.181396 + 0.181396i
\(529\) −21.7766 7.40120i −0.946811 0.321791i
\(530\) −19.9742 + 3.68503i −0.867624 + 0.160067i
\(531\) −12.3331 + 3.62134i −0.535213 + 0.157153i
\(532\) 0.204245 2.85571i 0.00885513 0.123811i
\(533\) −0.125620 + 0.577466i −0.00544120 + 0.0250128i
\(534\) 0.214824 + 1.49414i 0.00929635 + 0.0646576i
\(535\) −13.0265 31.1018i −0.563185 1.34465i
\(536\) −12.7780 5.83551i −0.551924 0.252055i
\(537\) 2.67913 0.191615i 0.115613 0.00826881i
\(538\) −0.102336 0.136704i −0.00441200 0.00589374i
\(539\) 15.6677 + 34.3076i 0.674857 + 1.47773i
\(540\) −1.40991 1.73556i −0.0606728 0.0746864i
\(541\) −32.8758 9.65320i −1.41344 0.415023i −0.516163 0.856491i \(-0.672640\pi\)
−0.897277 + 0.441467i \(0.854458\pi\)
\(542\) −7.95722 + 21.3341i −0.341792 + 0.916379i
\(543\) −16.0179 + 11.9909i −0.687396 + 0.514578i
\(544\) −2.33121 + 2.69036i −0.0999497 + 0.115348i
\(545\) −26.4219 6.63307i −1.13179 0.284130i
\(546\) −1.63369 + 2.54208i −0.0699156 + 0.108791i
\(547\) 11.4158 15.2497i 0.488104 0.652031i −0.487098 0.873348i \(-0.661944\pi\)
0.975202 + 0.221316i \(0.0710353\pi\)
\(548\) −14.1901 3.08688i −0.606173 0.131865i
\(549\) 8.56307 + 9.88231i 0.365463 + 0.421767i
\(550\) 3.96457 29.2054i 0.169050 1.24532i
\(551\) 30.1843i 1.28590i
\(552\) 4.73163 + 0.782098i 0.201392 + 0.0332883i
\(553\) −8.55995 + 8.55995i −0.364006 + 0.364006i
\(554\) 0.0715024 + 0.243515i 0.00303785 + 0.0103460i
\(555\) −11.4815 9.17806i −0.487364 0.389587i
\(556\) −7.10860 + 4.56842i −0.301472 + 0.193744i
\(557\) 29.1644 + 21.8322i 1.23573 + 0.925059i 0.998919 0.0464950i \(-0.0148052\pi\)
0.236816 + 0.971554i \(0.423896\pi\)
\(558\) 0.680090 0.147944i 0.0287905 0.00626299i
\(559\) −18.9757 + 41.5510i −0.802587 + 1.75742i
\(560\) −1.67891 + 0.435566i −0.0709468 + 0.0184060i
\(561\) −2.98635 + 20.7705i −0.126084 + 0.876932i
\(562\) 0.134508 + 0.0501689i 0.00567388 + 0.00211625i
\(563\) −2.29063 4.19497i −0.0965383 0.176797i 0.824947 0.565210i \(-0.191205\pi\)
−0.921485 + 0.388414i \(0.873023\pi\)
\(564\) −0.348749 + 1.18773i −0.0146850 + 0.0500124i
\(565\) −25.7011 4.53254i −1.08125 0.190685i
\(566\) 31.9686 + 4.59638i 1.34374 + 0.193200i
\(567\) 0.0553369 + 0.773710i 0.00232393 + 0.0324928i
\(568\) −2.69551 7.22694i −0.113101 0.303236i
\(569\) 13.9007 + 8.93343i 0.582747 + 0.374509i 0.798550 0.601928i \(-0.205601\pi\)
−0.215803 + 0.976437i \(0.569237\pi\)
\(570\) −7.82051 + 2.63717i −0.327565 + 0.110459i
\(571\) 3.88753 + 6.04912i 0.162688 + 0.253148i 0.913021 0.407913i \(-0.133743\pi\)
−0.750333 + 0.661060i \(0.770107\pi\)
\(572\) −22.9048 1.63818i −0.957697 0.0684959i
\(573\) 4.76033 + 2.59934i 0.198866 + 0.108589i
\(574\) 0.117673 0.00491158
\(575\) −11.2146 21.1951i −0.467680 0.883898i
\(576\) −1.00000 −0.0416667
\(577\) 12.5969 + 6.87840i 0.524414 + 0.286352i 0.719569 0.694421i \(-0.244339\pi\)
−0.195155 + 0.980772i \(0.562521\pi\)
\(578\) 4.31643 + 0.308717i 0.179540 + 0.0128409i
\(579\) 8.30036 + 12.9156i 0.344951 + 0.536754i
\(580\) −17.3278 + 5.84315i −0.719498 + 0.242624i
\(581\) 2.28645 + 1.46941i 0.0948578 + 0.0609614i
\(582\) −1.72129 4.61495i −0.0713496 0.191296i
\(583\) 3.81979 + 53.4076i 0.158199 + 2.21192i
\(584\) 0.499211 + 0.0717757i 0.0206575 + 0.00297010i
\(585\) 8.57847 + 1.51287i 0.354676 + 0.0625493i
\(586\) 1.43598 4.89051i 0.0593199 0.202025i
\(587\) −8.88271 16.2675i −0.366629 0.671431i 0.627621 0.778519i \(-0.284029\pi\)
−0.994249 + 0.107089i \(0.965847\pi\)
\(588\) −5.99489 2.23598i −0.247225 0.0922103i
\(589\) 0.365589 2.54273i 0.0150638 0.104771i
\(590\) 27.8210 7.21771i 1.14537 0.297148i
\(591\) 5.83861 12.7848i 0.240168 0.525895i
\(592\) −6.42339 + 1.39732i −0.264000 + 0.0574297i
\(593\) −21.0093 15.7274i −0.862749 0.645846i 0.0734565 0.997298i \(-0.476597\pi\)
−0.936206 + 0.351452i \(0.885688\pi\)
\(594\) −4.95890 + 3.18689i −0.203466 + 0.130760i
\(595\) −4.82296 3.85536i −0.197722 0.158054i
\(596\) 5.53431 + 18.8481i 0.226694 + 0.772050i
\(597\) 1.02973 1.02973i 0.0421441 0.0421441i
\(598\) −15.9256 + 9.76820i −0.651247 + 0.399451i
\(599\) 31.8778i 1.30249i −0.758867 0.651245i \(-0.774247\pi\)
0.758867 0.651245i \(-0.225753\pi\)
\(600\) 3.02782 + 3.97898i 0.123610 + 0.162441i
\(601\) −8.96436 10.3454i −0.365664 0.421998i 0.542866 0.839820i \(-0.317339\pi\)
−0.908529 + 0.417821i \(0.862794\pi\)
\(602\) 8.88764 + 1.93339i 0.362233 + 0.0787990i
\(603\) 8.41830 11.2455i 0.342820 0.457953i
\(604\) 4.82573 7.50899i 0.196356 0.305536i
\(605\) −51.5018 12.9292i −2.09385 0.525648i
\(606\) 6.71923 7.75440i 0.272950 0.315001i
\(607\) 13.2885 9.94765i 0.539364 0.403763i −0.294568 0.955631i \(-0.595176\pi\)
0.833932 + 0.551868i \(0.186085\pi\)
\(608\) −1.28985 + 3.45822i −0.0523103 + 0.140249i
\(609\) 6.08658 + 1.78718i 0.246641 + 0.0724203i
\(610\) −18.4362 22.6944i −0.746460 0.918870i
\(611\) −2.00324 4.38649i −0.0810425 0.177458i
\(612\) −2.13334 2.84981i −0.0862351 0.115197i
\(613\) 42.3009 3.02542i 1.70852 0.122195i 0.817429 0.576029i \(-0.195398\pi\)
0.891087 + 0.453833i \(0.149944\pi\)
\(614\) −11.3605 5.18816i −0.458472 0.209377i
\(615\) −0.131045 0.312881i −0.00528426 0.0126166i
\(616\) 0.650722 + 4.52587i 0.0262183 + 0.182352i
\(617\) 1.09836 5.04907i 0.0442182 0.203268i −0.949738 0.313046i \(-0.898650\pi\)
0.993956 + 0.109778i \(0.0350141\pi\)
\(618\) −1.15548 + 16.1557i −0.0464802 + 0.649878i
\(619\) −28.5794 + 8.39167i −1.14870 + 0.337290i −0.800033 0.599956i \(-0.795185\pi\)
−0.348670 + 0.937245i \(0.613367\pi\)
\(620\) −1.53046 + 0.282354i −0.0614650 + 0.0113396i
\(621\) −1.77001 + 4.45725i −0.0710279 + 0.178863i
\(622\) −4.27557 4.27557i −0.171435 0.171435i
\(623\) −0.561152 + 1.02767i −0.0224821 + 0.0411729i
\(624\) 2.94411 2.55108i 0.117859 0.102125i
\(625\) 6.66458 24.0953i 0.266583 0.963812i
\(626\) 6.13858 0.882594i 0.245347 0.0352755i
\(627\) 4.62474 + 21.2596i 0.184694 + 0.849026i
\(628\) 16.8565 6.28716i 0.672649 0.250885i
\(629\) −17.6854 15.3245i −0.705163 0.611027i
\(630\) −0.0687340 1.73313i −0.00273843 0.0690494i
\(631\) 3.31772 1.51515i 0.132076 0.0603173i −0.348281 0.937390i \(-0.613234\pi\)
0.480357 + 0.877073i \(0.340507\pi\)
\(632\) 13.6973 7.47930i 0.544850 0.297510i
\(633\) −6.88775 + 3.76100i −0.273764 + 0.149486i
\(634\) −12.1799 + 5.56236i −0.483724 + 0.220909i
\(635\) −8.42703 7.78412i −0.334417 0.308903i
\(636\) −6.86484 5.94842i −0.272209 0.235870i
\(637\) 23.3538 8.71051i 0.925310 0.345123i
\(638\) 10.2470 + 47.1047i 0.405682 + 1.86489i
\(639\) 7.63475 1.09771i 0.302026 0.0434248i
\(640\) 2.23494 + 0.0710092i 0.0883438 + 0.00280689i
\(641\) 3.76074 3.25870i 0.148540 0.128711i −0.577421 0.816447i \(-0.695941\pi\)
0.725961 + 0.687736i \(0.241395\pi\)
\(642\) 7.22701 13.2353i 0.285227 0.522355i
\(643\) −31.9392 31.9392i −1.25956 1.25956i −0.951304 0.308254i \(-0.900255\pi\)
−0.308254 0.951304i \(-0.599745\pi\)
\(644\) 2.57464 + 2.68517i 0.101455 + 0.105810i
\(645\) −4.75695 25.7844i −0.187305 1.01526i
\(646\) −12.6070 + 3.70173i −0.496014 + 0.145643i
\(647\) −1.73282 + 24.2280i −0.0681243 + 0.952502i 0.842348 + 0.538933i \(0.181173\pi\)
−0.910473 + 0.413569i \(0.864282\pi\)
\(648\) 0.212565 0.977147i 0.00835035 0.0383860i
\(649\) −10.7830 74.9976i −0.423271 2.94392i
\(650\) −19.0649 3.99032i −0.747788 0.156513i
\(651\) 0.491087 + 0.224272i 0.0192472 + 0.00878991i
\(652\) 11.4845 0.821386i 0.449767 0.0321679i
\(653\) 10.8204 + 14.4544i 0.423436 + 0.565645i 0.960636 0.277810i \(-0.0896087\pi\)
−0.537199 + 0.843455i \(0.680518\pi\)
\(654\) −5.06096 11.0820i −0.197899 0.433339i
\(655\) −2.32759 + 22.4825i −0.0909466 + 0.878465i
\(656\) −0.145557 0.0427393i −0.00568304 0.00166869i
\(657\) −0.176250 + 0.472545i −0.00687618 + 0.0184357i
\(658\) −0.768680 + 0.575427i −0.0299663 + 0.0224325i
\(659\) 28.8820 33.3316i 1.12508 1.29841i 0.175647 0.984453i \(-0.443798\pi\)
0.949436 0.313962i \(-0.101656\pi\)
\(660\) 11.3092 6.77039i 0.440208 0.263537i
\(661\) 21.1067 32.8427i 0.820956 1.27743i −0.137016 0.990569i \(-0.543751\pi\)
0.957972 0.286863i \(-0.0926125\pi\)
\(662\) −6.79860 + 9.08186i −0.264235 + 0.352977i
\(663\) 13.5509 + 2.94781i 0.526272 + 0.114483i
\(664\) −2.29455 2.64805i −0.0890457 0.102764i
\(665\) −6.08219 1.99777i −0.235857 0.0774704i
\(666\) 6.57362i 0.254723i
\(667\) 29.0945 + 26.3008i 1.12654 + 1.01837i
\(668\) 1.11652 1.11652i 0.0431994 0.0431994i
\(669\) −0.0630478 0.214721i −0.00243757 0.00830160i
\(670\) −19.6129 + 24.5353i −0.757714 + 0.947882i
\(671\) −64.8434 + 41.6723i −2.50325 + 1.60874i
\(672\) −0.620969 0.464852i −0.0239544 0.0179320i
\(673\) −20.1841 + 4.39079i −0.778042 + 0.169253i −0.584014 0.811744i \(-0.698519\pi\)
−0.194027 + 0.980996i \(0.562155\pi\)
\(674\) −9.81111 + 21.4833i −0.377910 + 0.827507i
\(675\) −4.53166 + 2.11283i −0.174424 + 0.0813230i
\(676\) −0.309645 + 2.15363i −0.0119094 + 0.0828319i
\(677\) −26.6235 9.93007i −1.02323 0.381644i −0.218847 0.975759i \(-0.570229\pi\)
−0.804380 + 0.594116i \(0.797502\pi\)
\(678\) −5.59343 10.2436i −0.214814 0.393403i
\(679\) 1.07640 3.66588i 0.0413085 0.140684i
\(680\) 4.56552 + 6.52064i 0.175080 + 0.250055i
\(681\) 0.588547 + 0.0846203i 0.0225532 + 0.00324266i
\(682\) 0.292680 + 4.09220i 0.0112073 + 0.156699i
\(683\) −13.2463 35.5146i −0.506854 1.35893i −0.898565 0.438841i \(-0.855389\pi\)
0.391711 0.920088i \(-0.371883\pi\)
\(684\) −3.10501 1.99547i −0.118723 0.0762987i
\(685\) −14.4206 + 29.0945i −0.550985 + 1.11164i
\(686\) −5.61882 8.74306i −0.214528 0.333811i
\(687\) −0.357948 0.0256009i −0.0136566 0.000976737i
\(688\) −10.2914 5.61955i −0.392357 0.214243i
\(689\) 35.3857 1.34809
\(690\) 4.27236 9.83600i 0.162646 0.374450i
\(691\) 18.6399 0.709094 0.354547 0.935038i \(-0.384635\pi\)
0.354547 + 0.935038i \(0.384635\pi\)
\(692\) −12.0382 6.57333i −0.457622 0.249881i
\(693\) −4.56076 0.326192i −0.173249 0.0123910i
\(694\) −7.02764 10.9352i −0.266765 0.415095i
\(695\) 6.03753 + 17.9042i 0.229017 + 0.679146i
\(696\) −6.87974 4.42134i −0.260776 0.167591i
\(697\) −0.188723 0.505987i −0.00714840 0.0191656i
\(698\) −0.976984 13.6600i −0.0369794 0.517039i
\(699\) −16.3029 2.34401i −0.616634 0.0886586i
\(700\) 0.0305485 + 3.87831i 0.00115462 + 0.146586i
\(701\) −7.96685 + 27.1326i −0.300904 + 1.02478i 0.660770 + 0.750588i \(0.270230\pi\)
−0.961674 + 0.274196i \(0.911588\pi\)
\(702\) 1.86697 + 3.41909i 0.0704641 + 0.129045i
\(703\) −22.7330 8.47898i −0.857393 0.319791i
\(704\) 0.838898 5.83466i 0.0316171 0.219902i
\(705\) 2.38603 + 1.40302i 0.0898632 + 0.0528409i
\(706\) 8.94910 19.5958i 0.336804 0.737498i
\(707\) 7.77708 1.69180i 0.292487 0.0636267i
\(708\) 10.2900 + 7.70300i 0.386722 + 0.289497i
\(709\) 16.0724 10.3291i 0.603613 0.387919i −0.202844 0.979211i \(-0.565018\pi\)
0.806457 + 0.591292i \(0.201382\pi\)
\(710\) −17.1412 + 1.91118i −0.643296 + 0.0717254i
\(711\) 4.39680 + 14.9741i 0.164893 + 0.561573i
\(712\) 1.06738 1.06738i 0.0400017 0.0400017i
\(713\) 2.13236 + 2.56796i 0.0798576 + 0.0961710i
\(714\) 2.76133i 0.103340i
\(715\) −16.0235 + 48.7833i −0.599246 + 1.82439i
\(716\) −1.75894 2.02992i −0.0657346 0.0758618i
\(717\) −18.1920 3.95743i −0.679393 0.147793i
\(718\) −13.6473 + 18.2307i −0.509313 + 0.680363i
\(719\) −8.17149 + 12.7151i −0.304745 + 0.474193i −0.959524 0.281628i \(-0.909126\pi\)
0.654778 + 0.755821i \(0.272762\pi\)
\(720\) −0.544457 + 2.16877i −0.0202907 + 0.0808253i
\(721\) −8.22753 + 9.49508i −0.306409 + 0.353615i
\(722\) 4.30451 3.22232i 0.160197 0.119922i
\(723\) 0.309055 0.828609i 0.0114939 0.0308163i
\(724\) 19.1984 + 5.63716i 0.713503 + 0.209503i
\(725\) 3.23820 + 40.7614i 0.120264 + 1.51384i
\(726\) −9.86487 21.6010i −0.366119 0.801690i
\(727\) −24.8952 33.2561i −0.923313 1.23340i −0.972094 0.234592i \(-0.924624\pi\)
0.0487807 0.998810i \(-0.484466\pi\)
\(728\) 3.01407 0.215571i 0.111709 0.00798959i
\(729\) 0.909632 + 0.415415i 0.0336901 + 0.0153857i
\(730\) 0.427464 1.04359i 0.0158211 0.0386252i
\(731\) −5.94049 41.3170i −0.219717 1.52816i
\(732\) 2.77954 12.7773i 0.102735 0.472264i
\(733\) 0.00668141 0.0934183i 0.000246783 0.00345048i −0.997327 0.0730643i \(-0.976722\pi\)
0.997574 + 0.0696138i \(0.0221767\pi\)
\(734\) 23.1938 6.81032i 0.856100 0.251374i
\(735\) −8.11329 + 11.7842i −0.299263 + 0.434665i
\(736\) −2.20946 4.25656i −0.0814417 0.156899i
\(737\) 58.5518 + 58.5518i 2.15678 + 2.15678i
\(738\) 0.0727030 0.133146i 0.00267623 0.00490115i
\(739\) −4.45183 + 3.85753i −0.163763 + 0.141902i −0.732887 0.680350i \(-0.761828\pi\)
0.569124 + 0.822252i \(0.307282\pi\)
\(740\) −0.466788 + 14.6917i −0.0171595 + 0.540076i
\(741\) 14.2321 2.04627i 0.522829 0.0751714i
\(742\) −1.49772 6.88492i −0.0549831 0.252753i
\(743\) 29.9011 11.1525i 1.09696 0.409147i 0.265154 0.964206i \(-0.414577\pi\)
0.831811 + 0.555059i \(0.187304\pi\)
\(744\) −0.525998 0.455780i −0.0192840 0.0167097i
\(745\) 43.8905 1.74065i 1.60802 0.0637726i
\(746\) −5.04657 + 2.30469i −0.184768 + 0.0843807i
\(747\) 3.07527 1.67923i 0.112518 0.0614397i
\(748\) 18.4173 10.0566i 0.673404 0.367706i
\(749\) 10.6402 4.85921i 0.388784 0.177552i
\(750\) 10.2780 4.40027i 0.375300 0.160675i
\(751\) 27.2940 + 23.6504i 0.995971 + 0.863014i 0.990575 0.136971i \(-0.0437369\pi\)
0.00539620 + 0.999985i \(0.498282\pi\)
\(752\) 1.15982 0.432592i 0.0422944 0.0157750i
\(753\) 0.691571 + 3.17910i 0.0252022 + 0.115853i
\(754\) 31.5339 4.53389i 1.14840 0.165115i
\(755\) −13.6579 14.5542i −0.497061 0.529683i
\(756\) 0.586225 0.507967i 0.0213208 0.0184746i
\(757\) −3.90241 + 7.14673i −0.141836 + 0.259752i −0.938934 0.344097i \(-0.888185\pi\)
0.797099 + 0.603849i \(0.206367\pi\)
\(758\) −9.38149 9.38149i −0.340751 0.340751i
\(759\) −24.5217 14.0666i −0.890081 0.510584i
\(760\) 6.79782 + 4.68024i 0.246583 + 0.169770i
\(761\) −20.3172 + 5.96568i −0.736499 + 0.216256i −0.628406 0.777885i \(-0.716292\pi\)
−0.108093 + 0.994141i \(0.534474\pi\)
\(762\) 0.366002 5.11737i 0.0132588 0.185383i
\(763\) 2.00877 9.23416i 0.0727223 0.334299i
\(764\) −0.771883 5.36856i −0.0279257 0.194228i
\(765\) −7.34209 + 3.07513i −0.265454 + 0.111181i
\(766\) 5.86851 + 2.68006i 0.212038 + 0.0968345i
\(767\) −49.9459 + 3.57220i −1.80344 + 0.128985i
\(768\) 0.599278 + 0.800541i 0.0216246 + 0.0288870i
\(769\) −9.11070 19.9496i −0.328540 0.719403i 0.671221 0.741257i \(-0.265770\pi\)
−0.999761 + 0.0218547i \(0.993043\pi\)
\(770\) 10.1699 + 1.05288i 0.366496 + 0.0379430i
\(771\) 9.83318 + 2.88728i 0.354133 + 0.103983i
\(772\) 5.36526 14.3848i 0.193100 0.517721i
\(773\) −16.7379