Properties

Label 48.2.k.a.11.3
Level $48$
Weight $2$
Character 48.11
Analytic conductor $0.383$
Analytic rank $0$
Dimension $12$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 48 = 2^{4} \cdot 3 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 48.k (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(0.383281929702\)
Analytic rank: \(0\)
Dimension: \(12\)
Relative dimension: \(6\) over \(\Q(i)\)
Coefficient field: 12.0.163368480538624.2
Defining polynomial: \(x^{12} - 2 x^{10} - 2 x^{8} + 16 x^{6} - 8 x^{4} - 32 x^{2} + 64\)
Coefficient ring: \(\Z[a_1, \ldots, a_{5}]\)
Coefficient ring index: \( 2^{4} \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 11.3
Root \(-1.35164 - 0.416001i\) of defining polynomial
Character \(\chi\) \(=\) 48.11
Dual form 48.2.k.a.35.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.416001 - 1.35164i) q^{2} +(0.966579 - 1.43726i) q^{3} +(-1.65389 + 1.12457i) q^{4} +(-1.57184 + 1.57184i) q^{5} +(-2.34477 - 0.708570i) q^{6} +2.24914 q^{7} +(2.20804 + 1.76765i) q^{8} +(-1.13145 - 2.77846i) q^{9} +O(q^{10})\) \(q+(-0.416001 - 1.35164i) q^{2} +(0.966579 - 1.43726i) q^{3} +(-1.65389 + 1.12457i) q^{4} +(-1.57184 + 1.57184i) q^{5} +(-2.34477 - 0.708570i) q^{6} +2.24914 q^{7} +(2.20804 + 1.76765i) q^{8} +(-1.13145 - 2.77846i) q^{9} +(2.77846 + 1.47068i) q^{10} +(1.13145 + 1.13145i) q^{11} +(0.0176901 + 3.46406i) q^{12} +(-3.24914 + 3.24914i) q^{13} +(-0.935644 - 3.04004i) q^{14} +(0.739839 + 3.77846i) q^{15} +(1.47068 - 3.71982i) q^{16} +1.66400i q^{17} +(-3.28480 + 2.68516i) q^{18} +(-3.77846 - 3.77846i) q^{19} +(0.832001 - 4.36729i) q^{20} +(2.17397 - 3.23261i) q^{21} +(1.05863 - 2.00000i) q^{22} -2.26290i q^{23} +(4.67481 - 1.46496i) q^{24} +0.0586332i q^{25} +(5.74333 + 3.04004i) q^{26} +(-5.08701 - 1.05941i) q^{27} +(-3.71982 + 2.52932i) q^{28} +(-3.23584 - 3.23584i) q^{29} +(4.79936 - 2.57184i) q^{30} -1.30777i q^{31} +(-5.63969 - 0.440392i) q^{32} +(2.71982 - 0.532554i) q^{33} +(2.24914 - 0.692226i) q^{34} +(-3.53529 + 3.53529i) q^{35} +(4.99586 + 3.32286i) q^{36} +(2.30777 + 2.30777i) q^{37} +(-3.53529 + 6.67897i) q^{38} +(1.52932 + 7.81042i) q^{39} +(-6.24914 + 0.692226i) q^{40} +10.2143 q^{41} +(-5.27371 - 1.59367i) q^{42} +(3.77846 - 3.77846i) q^{43} +(-3.14368 - 0.598895i) q^{44} +(6.14575 + 2.58884i) q^{45} +(-3.05863 + 0.941367i) q^{46} -3.74258 q^{47} +(-3.92483 - 5.70926i) q^{48} -1.94137 q^{49} +(0.0792512 - 0.0243914i) q^{50} +(2.39161 + 1.60839i) q^{51} +(1.71982 - 9.02760i) q^{52} +(0.972946 - 0.972946i) q^{53} +(0.684253 + 7.31654i) q^{54} -3.55691 q^{55} +(4.96619 + 3.97568i) q^{56} +(-9.08281 + 1.77846i) q^{57} +(-3.02760 + 5.71982i) q^{58} +(3.88352 + 3.88352i) q^{59} +(-5.47275 - 5.41714i) q^{60} +(4.19051 - 4.19051i) q^{61} +(-1.76765 + 0.544035i) q^{62} +(-2.54479 - 6.24914i) q^{63} +(1.75086 + 7.80605i) q^{64} -10.2143i q^{65} +(-1.85127 - 3.45469i) q^{66} +(8.02760 + 8.02760i) q^{67} +(-1.87129 - 2.75207i) q^{68} +(-3.25238 - 2.18727i) q^{69} +(6.24914 + 3.30777i) q^{70} -11.0950i q^{71} +(2.41305 - 8.13494i) q^{72} +6.38101i q^{73} +(2.15925 - 4.07933i) q^{74} +(0.0842713 + 0.0566736i) q^{75} +(10.4983 + 2.00000i) q^{76} +(2.54479 + 2.54479i) q^{77} +(9.92072 - 5.31623i) q^{78} -2.69223i q^{79} +(3.53529 + 8.15865i) q^{80} +(-6.43965 + 6.28736i) q^{81} +(-4.24914 - 13.8061i) q^{82} +(2.61113 - 2.61113i) q^{83} +(0.0397875 + 7.79115i) q^{84} +(-2.61555 - 2.61555i) q^{85} +(-6.67897 - 3.53529i) q^{86} +(-7.77846 + 1.52306i) q^{87} +(0.498281 + 4.49828i) q^{88} -7.35247 q^{89} +(0.942549 - 9.38383i) q^{90} +(-7.30777 + 7.30777i) q^{91} +(2.54479 + 3.74258i) q^{92} +(-1.87961 - 1.26407i) q^{93} +(1.55691 + 5.05863i) q^{94} +11.8783 q^{95} +(-6.08416 + 7.68004i) q^{96} -5.67418 q^{97} +(0.807610 + 2.62404i) q^{98} +(1.86351 - 4.42386i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 12q - 2q^{3} - 4q^{4} - 8q^{6} - 8q^{7} + O(q^{10}) \) \( 12q - 2q^{3} - 4q^{4} - 8q^{6} - 8q^{7} - 8q^{12} - 4q^{13} + 16q^{16} + 4q^{18} - 12q^{19} - 8q^{21} + 16q^{22} + 24q^{24} + 10q^{27} - 8q^{28} + 28q^{30} - 4q^{33} - 8q^{34} + 20q^{36} - 4q^{37} + 20q^{39} - 40q^{40} - 24q^{42} + 12q^{43} - 12q^{45} - 40q^{46} - 48q^{48} - 20q^{49} + 24q^{51} - 16q^{52} - 52q^{54} + 24q^{55} + 32q^{58} - 16q^{60} + 12q^{61} + 56q^{64} + 28q^{66} + 28q^{67} + 4q^{69} + 40q^{70} + 40q^{72} - 34q^{75} + 56q^{76} + 60q^{78} - 4q^{81} - 16q^{82} + 16q^{84} + 32q^{85} - 60q^{87} - 64q^{88} - 16q^{90} - 56q^{91} + 28q^{93} - 48q^{94} - 56q^{96} - 8q^{97} - 52q^{99} + O(q^{100}) \)

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).

\(n\) \(17\) \(31\) \(37\)
\(\chi(n)\) \(-1\) \(-1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.416001 1.35164i −0.294157 0.955757i
\(3\) 0.966579 1.43726i 0.558055 0.829804i
\(4\) −1.65389 + 1.12457i −0.826943 + 0.562285i
\(5\) −1.57184 + 1.57184i −0.702949 + 0.702949i −0.965042 0.262094i \(-0.915587\pi\)
0.262094 + 0.965042i \(0.415587\pi\)
\(6\) −2.34477 0.708570i −0.957247 0.289272i
\(7\) 2.24914 0.850095 0.425048 0.905171i \(-0.360257\pi\)
0.425048 + 0.905171i \(0.360257\pi\)
\(8\) 2.20804 + 1.76765i 0.780659 + 0.624957i
\(9\) −1.13145 2.77846i −0.377150 0.926152i
\(10\) 2.77846 + 1.47068i 0.878625 + 0.465071i
\(11\) 1.13145 + 1.13145i 0.341145 + 0.341145i 0.856798 0.515653i \(-0.172451\pi\)
−0.515653 + 0.856798i \(0.672451\pi\)
\(12\) 0.0176901 + 3.46406i 0.00510669 + 0.999987i
\(13\) −3.24914 + 3.24914i −0.901149 + 0.901149i −0.995536 0.0943862i \(-0.969911\pi\)
0.0943862 + 0.995536i \(0.469911\pi\)
\(14\) −0.935644 3.04004i −0.250061 0.812485i
\(15\) 0.739839 + 3.77846i 0.191026 + 0.975593i
\(16\) 1.47068 3.71982i 0.367671 0.929956i
\(17\) 1.66400i 0.403580i 0.979429 + 0.201790i \(0.0646758\pi\)
−0.979429 + 0.201790i \(0.935324\pi\)
\(18\) −3.28480 + 2.68516i −0.774236 + 0.632897i
\(19\) −3.77846 3.77846i −0.866838 0.866838i 0.125283 0.992121i \(-0.460016\pi\)
−0.992121 + 0.125283i \(0.960016\pi\)
\(20\) 0.832001 4.36729i 0.186041 0.976556i
\(21\) 2.17397 3.23261i 0.474400 0.705412i
\(22\) 1.05863 2.00000i 0.225701 0.426401i
\(23\) 2.26290i 0.471847i −0.971772 0.235923i \(-0.924189\pi\)
0.971772 0.235923i \(-0.0758114\pi\)
\(24\) 4.67481 1.46496i 0.954243 0.299034i
\(25\) 0.0586332i 0.0117266i
\(26\) 5.74333 + 3.04004i 1.12636 + 0.596201i
\(27\) −5.08701 1.05941i −0.978995 0.203884i
\(28\) −3.71982 + 2.52932i −0.702981 + 0.477996i
\(29\) −3.23584 3.23584i −0.600881 0.600881i 0.339665 0.940546i \(-0.389686\pi\)
−0.940546 + 0.339665i \(0.889686\pi\)
\(30\) 4.79936 2.57184i 0.876239 0.469552i
\(31\) 1.30777i 0.234883i −0.993080 0.117442i \(-0.962531\pi\)
0.993080 0.117442i \(-0.0374693\pi\)
\(32\) −5.63969 0.440392i −0.996965 0.0778511i
\(33\) 2.71982 0.532554i 0.473461 0.0927058i
\(34\) 2.24914 0.692226i 0.385724 0.118716i
\(35\) −3.53529 + 3.53529i −0.597573 + 0.597573i
\(36\) 4.99586 + 3.32286i 0.832643 + 0.553810i
\(37\) 2.30777 + 2.30777i 0.379396 + 0.379396i 0.870884 0.491488i \(-0.163547\pi\)
−0.491488 + 0.870884i \(0.663547\pi\)
\(38\) −3.53529 + 6.67897i −0.573500 + 1.08347i
\(39\) 1.52932 + 7.81042i 0.244887 + 1.25067i
\(40\) −6.24914 + 0.692226i −0.988076 + 0.109451i
\(41\) 10.2143 1.59520 0.797600 0.603187i \(-0.206103\pi\)
0.797600 + 0.603187i \(0.206103\pi\)
\(42\) −5.27371 1.59367i −0.813751 0.245909i
\(43\) 3.77846 3.77846i 0.576209 0.576209i −0.357647 0.933857i \(-0.616421\pi\)
0.933857 + 0.357647i \(0.116421\pi\)
\(44\) −3.14368 0.598895i −0.473928 0.0902867i
\(45\) 6.14575 + 2.58884i 0.916154 + 0.385921i
\(46\) −3.05863 + 0.941367i −0.450971 + 0.138797i
\(47\) −3.74258 −0.545911 −0.272955 0.962027i \(-0.588001\pi\)
−0.272955 + 0.962027i \(0.588001\pi\)
\(48\) −3.92483 5.70926i −0.566501 0.824061i
\(49\) −1.94137 −0.277338
\(50\) 0.0792512 0.0243914i 0.0112078 0.00344947i
\(51\) 2.39161 + 1.60839i 0.334892 + 0.225220i
\(52\) 1.71982 9.02760i 0.238497 1.25190i
\(53\) 0.972946 0.972946i 0.133644 0.133644i −0.637120 0.770765i \(-0.719874\pi\)
0.770765 + 0.637120i \(0.219874\pi\)
\(54\) 0.684253 + 7.31654i 0.0931150 + 0.995655i
\(55\) −3.55691 −0.479614
\(56\) 4.96619 + 3.97568i 0.663635 + 0.531273i
\(57\) −9.08281 + 1.77846i −1.20305 + 0.235562i
\(58\) −3.02760 + 5.71982i −0.397543 + 0.751050i
\(59\) 3.88352 + 3.88352i 0.505591 + 0.505591i 0.913170 0.407579i \(-0.133627\pi\)
−0.407579 + 0.913170i \(0.633627\pi\)
\(60\) −5.47275 5.41714i −0.706529 0.699350i
\(61\) 4.19051 4.19051i 0.536539 0.536539i −0.385971 0.922511i \(-0.626134\pi\)
0.922511 + 0.385971i \(0.126134\pi\)
\(62\) −1.76765 + 0.544035i −0.224491 + 0.0690925i
\(63\) −2.54479 6.24914i −0.320613 0.787318i
\(64\) 1.75086 + 7.80605i 0.218857 + 0.975757i
\(65\) 10.2143i 1.26692i
\(66\) −1.85127 3.45469i −0.227876 0.425243i
\(67\) 8.02760 + 8.02760i 0.980727 + 0.980727i 0.999818 0.0190906i \(-0.00607710\pi\)
−0.0190906 + 0.999818i \(0.506077\pi\)
\(68\) −1.87129 2.75207i −0.226927 0.333738i
\(69\) −3.25238 2.18727i −0.391540 0.263316i
\(70\) 6.24914 + 3.30777i 0.746915 + 0.395355i
\(71\) 11.0950i 1.31674i −0.752695 0.658370i \(-0.771246\pi\)
0.752695 0.658370i \(-0.228754\pi\)
\(72\) 2.41305 8.13494i 0.284380 0.958712i
\(73\) 6.38101i 0.746841i 0.927662 + 0.373421i \(0.121815\pi\)
−0.927662 + 0.373421i \(0.878185\pi\)
\(74\) 2.15925 4.07933i 0.251008 0.474212i
\(75\) 0.0842713 + 0.0566736i 0.00973081 + 0.00654410i
\(76\) 10.4983 + 2.00000i 1.20424 + 0.229416i
\(77\) 2.54479 + 2.54479i 0.290005 + 0.290005i
\(78\) 9.92072 5.31623i 1.12330 0.601945i
\(79\) 2.69223i 0.302899i −0.988465 0.151450i \(-0.951606\pi\)
0.988465 0.151450i \(-0.0483941\pi\)
\(80\) 3.53529 + 8.15865i 0.395258 + 0.912165i
\(81\) −6.43965 + 6.28736i −0.715516 + 0.698596i
\(82\) −4.24914 13.8061i −0.469239 1.52462i
\(83\) 2.61113 2.61113i 0.286608 0.286608i −0.549129 0.835738i \(-0.685040\pi\)
0.835738 + 0.549129i \(0.185040\pi\)
\(84\) 0.0397875 + 7.79115i 0.00434117 + 0.850084i
\(85\) −2.61555 2.61555i −0.283696 0.283696i
\(86\) −6.67897 3.53529i −0.720212 0.381220i
\(87\) −7.77846 + 1.52306i −0.833938 + 0.163289i
\(88\) 0.498281 + 4.49828i 0.0531169 + 0.479518i
\(89\) −7.35247 −0.779360 −0.389680 0.920950i \(-0.627414\pi\)
−0.389680 + 0.920950i \(0.627414\pi\)
\(90\) 0.942549 9.38383i 0.0993534 0.989142i
\(91\) −7.30777 + 7.30777i −0.766063 + 0.766063i
\(92\) 2.54479 + 3.74258i 0.265312 + 0.390191i
\(93\) −1.87961 1.26407i −0.194907 0.131078i
\(94\) 1.55691 + 5.05863i 0.160583 + 0.521758i
\(95\) 11.8783 1.21868
\(96\) −6.08416 + 7.68004i −0.620962 + 0.783840i
\(97\) −5.67418 −0.576126 −0.288063 0.957611i \(-0.593011\pi\)
−0.288063 + 0.957611i \(0.593011\pi\)
\(98\) 0.807610 + 2.62404i 0.0815809 + 0.265068i
\(99\) 1.86351 4.42386i 0.187289 0.444614i
\(100\) −0.0659371 0.0969726i −0.00659371 0.00969726i
\(101\) −10.3064 + 10.3064i −1.02553 + 1.02553i −0.0258621 + 0.999666i \(0.508233\pi\)
−0.999666 + 0.0258621i \(0.991767\pi\)
\(102\) 1.17906 3.90170i 0.116745 0.386326i
\(103\) −8.13187 −0.801257 −0.400629 0.916241i \(-0.631208\pi\)
−0.400629 + 0.916241i \(0.631208\pi\)
\(104\) −12.9176 + 1.43090i −1.26667 + 0.140311i
\(105\) 1.66400 + 8.49828i 0.162390 + 0.829347i
\(106\) −1.71982 0.910331i −0.167044 0.0884192i
\(107\) −2.40384 2.40384i −0.232388 0.232388i 0.581301 0.813689i \(-0.302544\pi\)
−0.813689 + 0.581301i \(0.802544\pi\)
\(108\) 9.60472 3.96855i 0.924214 0.381874i
\(109\) 8.92332 8.92332i 0.854699 0.854699i −0.136009 0.990708i \(-0.543427\pi\)
0.990708 + 0.136009i \(0.0434275\pi\)
\(110\) 1.47968 + 4.80768i 0.141082 + 0.458395i
\(111\) 5.54752 1.08623i 0.526548 0.103100i
\(112\) 3.30777 8.36641i 0.312555 0.790551i
\(113\) 15.9027i 1.49600i 0.663697 + 0.748002i \(0.268986\pi\)
−0.663697 + 0.748002i \(0.731014\pi\)
\(114\) 6.18230 + 11.5369i 0.579025 + 1.08053i
\(115\) 3.55691 + 3.55691i 0.331684 + 0.331684i
\(116\) 8.99065 + 1.71279i 0.834761 + 0.159028i
\(117\) 12.7038 + 5.35136i 1.17447 + 0.494734i
\(118\) 3.63359 6.86469i 0.334499 0.631946i
\(119\) 3.74258i 0.343081i
\(120\) −5.04538 + 9.65075i −0.460578 + 0.880989i
\(121\) 8.43965i 0.767241i
\(122\) −7.40733 3.92082i −0.670628 0.354975i
\(123\) 9.87290 14.6806i 0.890209 1.32370i
\(124\) 1.47068 + 2.16291i 0.132071 + 0.194235i
\(125\) −7.95137 7.95137i −0.711192 0.711192i
\(126\) −7.38798 + 6.03929i −0.658174 + 0.538023i
\(127\) 7.42504i 0.658866i 0.944179 + 0.329433i \(0.106858\pi\)
−0.944179 + 0.329433i \(0.893142\pi\)
\(128\) 9.82265 5.61386i 0.868208 0.496200i
\(129\) −1.77846 9.08281i −0.156584 0.799697i
\(130\) −13.8061 + 4.24914i −1.21087 + 0.372674i
\(131\) −3.88352 + 3.88352i −0.339305 + 0.339305i −0.856106 0.516801i \(-0.827123\pi\)
0.516801 + 0.856106i \(0.327123\pi\)
\(132\) −3.89939 + 3.93942i −0.339398 + 0.342882i
\(133\) −8.49828 8.49828i −0.736894 0.736894i
\(134\) 7.51097 14.1899i 0.648849 1.22582i
\(135\) 9.66119 6.33074i 0.831503 0.544864i
\(136\) −2.94137 + 3.67418i −0.252220 + 0.315058i
\(137\) 2.72911 0.233164 0.116582 0.993181i \(-0.462806\pi\)
0.116582 + 0.993181i \(0.462806\pi\)
\(138\) −1.60342 + 5.30597i −0.136492 + 0.451674i
\(139\) −0.0275977 + 0.0275977i −0.00234080 + 0.00234080i −0.708276 0.705935i \(-0.750527\pi\)
0.705935 + 0.708276i \(0.250527\pi\)
\(140\) 1.87129 9.82265i 0.158153 0.830166i
\(141\) −3.61750 + 5.37907i −0.304648 + 0.452999i
\(142\) −14.9966 + 4.61555i −1.25848 + 0.387328i
\(143\) −7.35247 −0.614845
\(144\) −11.9994 + 0.122559i −0.999948 + 0.0102132i
\(145\) 10.1725 0.844777
\(146\) 8.62486 2.65451i 0.713799 0.219689i
\(147\) −1.87649 + 2.79025i −0.154770 + 0.230136i
\(148\) −6.41205 1.22154i −0.527067 0.100410i
\(149\) 12.5693 12.5693i 1.02972 1.02972i 0.0301744 0.999545i \(-0.490394\pi\)
0.999545 0.0301744i \(-0.00960626\pi\)
\(150\) 0.0415457 0.137481i 0.00339219 0.0112253i
\(151\) 16.8647 1.37243 0.686214 0.727399i \(-0.259271\pi\)
0.686214 + 0.727399i \(0.259271\pi\)
\(152\) −1.66400 15.0219i −0.134968 1.21844i
\(153\) 4.62336 1.88273i 0.373777 0.152210i
\(154\) 2.38101 4.49828i 0.191868 0.362482i
\(155\) 2.05561 + 2.05561i 0.165111 + 0.165111i
\(156\) −11.3127 11.1977i −0.905740 0.896536i
\(157\) −5.36641 + 5.36641i −0.428286 + 0.428286i −0.888044 0.459758i \(-0.847936\pi\)
0.459758 + 0.888044i \(0.347936\pi\)
\(158\) −3.63893 + 1.11997i −0.289498 + 0.0890999i
\(159\) −0.457950 2.33881i −0.0363178 0.185480i
\(160\) 9.55691 8.17246i 0.755540 0.646090i
\(161\) 5.08957i 0.401115i
\(162\) 11.1772 + 6.08857i 0.878162 + 0.478363i
\(163\) −8.77502 8.77502i −0.687313 0.687313i 0.274325 0.961637i \(-0.411546\pi\)
−0.961637 + 0.274325i \(0.911546\pi\)
\(164\) −16.8932 + 11.4867i −1.31914 + 0.896957i
\(165\) −3.43804 + 5.11222i −0.267651 + 0.397986i
\(166\) −4.61555 2.44309i −0.358236 0.189620i
\(167\) 16.9678i 1.31301i 0.754321 + 0.656505i \(0.227966\pi\)
−0.754321 + 0.656505i \(0.772034\pi\)
\(168\) 10.5143 3.29490i 0.811197 0.254207i
\(169\) 8.11383i 0.624141i
\(170\) −2.44722 + 4.62336i −0.187693 + 0.354596i
\(171\) −6.22315 + 14.7734i −0.475896 + 1.12975i
\(172\) −2.00000 + 10.4983i −0.152499 + 0.800486i
\(173\) 16.3119 + 16.3119i 1.24017 + 1.24017i 0.959930 + 0.280241i \(0.0904144\pi\)
0.280241 + 0.959930i \(0.409586\pi\)
\(174\) 5.29448 + 9.88012i 0.401373 + 0.749010i
\(175\) 0.131874i 0.00996875i
\(176\) 5.87279 2.54479i 0.442678 0.191821i
\(177\) 9.33537 1.82791i 0.701689 0.137394i
\(178\) 3.05863 + 9.93793i 0.229254 + 0.744879i
\(179\) −1.33873 + 1.33873i −0.100062 + 0.100062i −0.755365 0.655304i \(-0.772541\pi\)
0.655304 + 0.755365i \(0.272541\pi\)
\(180\) −13.0757 + 2.62969i −0.974605 + 0.196005i
\(181\) 10.2457 + 10.2457i 0.761557 + 0.761557i 0.976604 0.215047i \(-0.0689904\pi\)
−0.215047 + 0.976604i \(0.568990\pi\)
\(182\) 12.9176 + 6.83747i 0.957513 + 0.506827i
\(183\) −1.97240 10.0733i −0.145804 0.744641i
\(184\) 4.00000 4.99656i 0.294884 0.368351i
\(185\) −7.25491 −0.533391
\(186\) −0.926649 + 3.06642i −0.0679452 + 0.224841i
\(187\) −1.88273 + 1.88273i −0.137679 + 0.137679i
\(188\) 6.18980 4.20879i 0.451437 0.306958i
\(189\) −11.4414 2.38276i −0.832239 0.173320i
\(190\) −4.94137 16.0552i −0.358484 1.16477i
\(191\) −24.5398 −1.77563 −0.887817 0.460197i \(-0.847779\pi\)
−0.887817 + 0.460197i \(0.847779\pi\)
\(192\) 12.9117 + 5.02873i 0.931821 + 0.362917i
\(193\) 8.38101 0.603279 0.301639 0.953422i \(-0.402466\pi\)
0.301639 + 0.953422i \(0.402466\pi\)
\(194\) 2.36046 + 7.66948i 0.169471 + 0.550636i
\(195\) −14.6806 9.87290i −1.05130 0.707013i
\(196\) 3.21080 2.18320i 0.229343 0.155943i
\(197\) 1.28995 1.28995i 0.0919052 0.0919052i −0.659659 0.751565i \(-0.729299\pi\)
0.751565 + 0.659659i \(0.229299\pi\)
\(198\) −6.75470 0.678470i −0.480036 0.0482167i
\(199\) −13.0992 −0.928579 −0.464290 0.885683i \(-0.653690\pi\)
−0.464290 + 0.885683i \(0.653690\pi\)
\(200\) −0.103643 + 0.129464i −0.00732864 + 0.00915450i
\(201\) 19.2971 3.77846i 1.36111 0.266512i
\(202\) 18.2181 + 9.64315i 1.28182 + 0.678489i
\(203\) −7.27787 7.27787i −0.510806 0.510806i
\(204\) −5.76420 + 0.0294364i −0.403575 + 0.00206096i
\(205\) −16.0552 + 16.0552i −1.12134 + 1.12134i
\(206\) 3.38287 + 10.9914i 0.235695 + 0.765807i
\(207\) −6.28736 + 2.56035i −0.437002 + 0.177957i
\(208\) 7.30777 + 16.8647i 0.506703 + 1.16936i
\(209\) 8.55026i 0.591434i
\(210\) 10.7944 5.78443i 0.744886 0.399164i
\(211\) −8.47068 8.47068i −0.583146 0.583146i 0.352621 0.935766i \(-0.385291\pi\)
−0.935766 + 0.352621i \(0.885291\pi\)
\(212\) −0.514997 + 2.70329i −0.0353701 + 0.185663i
\(213\) −15.9465 10.7242i −1.09264 0.734813i
\(214\) −2.24914 + 4.24914i −0.153748 + 0.290465i
\(215\) 11.8783i 0.810091i
\(216\) −9.35964 11.3312i −0.636843 0.770993i
\(217\) 2.94137i 0.199673i
\(218\) −15.7733 8.34905i −1.06830 0.565469i
\(219\) 9.17120 + 6.16776i 0.619732 + 0.416778i
\(220\) 5.88273 4.00000i 0.396614 0.269680i
\(221\) −5.40658 5.40658i −0.363686 0.363686i
\(222\) −3.77597 7.04641i −0.253427 0.472924i
\(223\) 21.5715i 1.44454i 0.691613 + 0.722268i \(0.256900\pi\)
−0.691613 + 0.722268i \(0.743100\pi\)
\(224\) −12.6844 0.990504i −0.847515 0.0661808i
\(225\) 0.162910 0.0663404i 0.0108606 0.00442269i
\(226\) 21.4948 6.61555i 1.42982 0.440060i
\(227\) 16.7523 16.7523i 1.11189 1.11189i 0.118994 0.992895i \(-0.462033\pi\)
0.992895 0.118994i \(-0.0379668\pi\)
\(228\) 13.0219 13.1556i 0.862400 0.871253i
\(229\) 3.36641 + 3.36641i 0.222458 + 0.222458i 0.809533 0.587074i \(-0.199720\pi\)
−0.587074 + 0.809533i \(0.699720\pi\)
\(230\) 3.32801 6.28736i 0.219442 0.414576i
\(231\) 6.11727 1.19779i 0.402487 0.0788087i
\(232\) −1.42504 12.8647i −0.0935585 0.844608i
\(233\) −0.501329 −0.0328431 −0.0164216 0.999865i \(-0.505227\pi\)
−0.0164216 + 0.999865i \(0.505227\pi\)
\(234\) 1.94834 19.3972i 0.127367 1.26804i
\(235\) 5.88273 5.88273i 0.383747 0.383747i
\(236\) −10.7902 2.05561i −0.702382 0.133809i
\(237\) −3.86944 2.60225i −0.251347 0.169034i
\(238\) 5.05863 1.55691i 0.327902 0.100920i
\(239\) 30.4585 1.97019 0.985097 0.171999i \(-0.0550225\pi\)
0.985097 + 0.171999i \(0.0550225\pi\)
\(240\) 15.1433 + 2.80484i 0.977494 + 0.181052i
\(241\) −15.4948 −0.998111 −0.499055 0.866570i \(-0.666320\pi\)
−0.499055 + 0.866570i \(0.666320\pi\)
\(242\) −11.4074 + 3.51090i −0.733296 + 0.225689i
\(243\) 2.81216 + 15.3327i 0.180400 + 0.983593i
\(244\) −2.21811 + 11.6431i −0.142000 + 0.745376i
\(245\) 3.05152 3.05152i 0.194954 0.194954i
\(246\) −23.9501 7.23752i −1.52700 0.461447i
\(247\) 24.5535 1.56230
\(248\) 2.31168 2.88761i 0.146792 0.183364i
\(249\) −1.22901 6.27674i −0.0778856 0.397772i
\(250\) −7.43965 + 14.0552i −0.470525 + 0.888929i
\(251\) −12.2265 12.2265i −0.771730 0.771730i 0.206679 0.978409i \(-0.433734\pi\)
−0.978409 + 0.206679i \(0.933734\pi\)
\(252\) 11.2364 + 7.47358i 0.707826 + 0.470791i
\(253\) 2.56035 2.56035i 0.160968 0.160968i
\(254\) 10.0360 3.08882i 0.629716 0.193810i
\(255\) −6.28736 + 1.23109i −0.393730 + 0.0770941i
\(256\) −11.6742 10.9414i −0.729636 0.683835i
\(257\) 7.48515i 0.466911i 0.972367 + 0.233455i \(0.0750033\pi\)
−0.972367 + 0.233455i \(0.924997\pi\)
\(258\) −11.5369 + 6.18230i −0.718256 + 0.384893i
\(259\) 5.19051 + 5.19051i 0.322522 + 0.322522i
\(260\) 11.4867 + 16.8932i 0.712372 + 1.04767i
\(261\) −5.32946 + 12.6518i −0.329885 + 0.783129i
\(262\) 6.86469 + 3.63359i 0.424102 + 0.224484i
\(263\) 10.2659i 0.633023i −0.948589 0.316511i \(-0.897488\pi\)
0.948589 0.316511i \(-0.102512\pi\)
\(264\) 6.94684 + 3.63178i 0.427548 + 0.223521i
\(265\) 3.05863i 0.187890i
\(266\) −7.95137 + 15.0219i −0.487530 + 0.921055i
\(267\) −7.10675 + 10.5674i −0.434926 + 0.646716i
\(268\) −22.3043 4.24914i −1.36245 0.259558i
\(269\) −2.76963 2.76963i −0.168867 0.168867i 0.617614 0.786481i \(-0.288099\pi\)
−0.786481 + 0.617614i \(0.788099\pi\)
\(270\) −12.5760 10.4249i −0.765350 0.634439i
\(271\) 28.6854i 1.74251i −0.490830 0.871255i \(-0.663306\pi\)
0.490830 0.871255i \(-0.336694\pi\)
\(272\) 6.18980 + 2.44722i 0.375312 + 0.148385i
\(273\) 3.43965 + 17.5667i 0.208177 + 1.06319i
\(274\) −1.13531 3.68879i −0.0685867 0.222848i
\(275\) −0.0663404 + 0.0663404i −0.00400048 + 0.00400048i
\(276\) 7.83880 0.0400309i 0.471841 0.00240957i
\(277\) −0.806055 0.806055i −0.0484311 0.0484311i 0.682476 0.730908i \(-0.260903\pi\)
−0.730908 + 0.682476i \(0.760903\pi\)
\(278\) 0.0487829 + 0.0258216i 0.00292580 + 0.00154868i
\(279\) −3.63359 + 1.47968i −0.217538 + 0.0885861i
\(280\) −14.0552 + 1.55691i −0.839959 + 0.0930434i
\(281\) −22.3228 −1.33167 −0.665833 0.746101i \(-0.731924\pi\)
−0.665833 + 0.746101i \(0.731924\pi\)
\(282\) 8.77547 + 2.65188i 0.522571 + 0.157917i
\(283\) 8.08279 8.08279i 0.480472 0.480472i −0.424810 0.905282i \(-0.639659\pi\)
0.905282 + 0.424810i \(0.139659\pi\)
\(284\) 12.4772 + 18.3500i 0.740383 + 1.08887i
\(285\) 11.4813 17.0722i 0.680093 1.01127i
\(286\) 3.05863 + 9.93793i 0.180861 + 0.587642i
\(287\) 22.9733 1.35607
\(288\) 5.15740 + 16.1679i 0.303903 + 0.952703i
\(289\) 14.2311 0.837123
\(290\) −4.23175 13.7496i −0.248497 0.807402i
\(291\) −5.48455 + 8.15529i −0.321510 + 0.478071i
\(292\) −7.17590 10.5535i −0.419938 0.617595i
\(293\) 6.37953 6.37953i 0.372696 0.372696i −0.495762 0.868458i \(-0.665111\pi\)
0.868458 + 0.495762i \(0.165111\pi\)
\(294\) 4.55205 + 1.37559i 0.265481 + 0.0802262i
\(295\) −12.2086 −0.710809
\(296\) 1.01633 + 9.17498i 0.0590727 + 0.533285i
\(297\) −4.55702 6.95436i −0.264425 0.403533i
\(298\) −22.2181 11.7604i −1.28706 0.681262i
\(299\) 7.35247 + 7.35247i 0.425204 + 0.425204i
\(300\) −0.203109 + 0.00103723i −0.0117265 + 5.98843e-5i
\(301\) 8.49828 8.49828i 0.489833 0.489833i
\(302\) −7.01572 22.7951i −0.403709 1.31171i
\(303\) 4.85106 + 24.7750i 0.278686 + 1.42329i
\(304\) −19.6121 + 8.49828i −1.12483 + 0.487410i
\(305\) 13.1736i 0.754319i
\(306\) −4.46811 5.46592i −0.255425 0.312466i
\(307\) −6.58795 6.58795i −0.375994 0.375994i 0.493661 0.869655i \(-0.335659\pi\)
−0.869655 + 0.493661i \(0.835659\pi\)
\(308\) −7.07058 1.34700i −0.402884 0.0767523i
\(309\) −7.86010 + 11.6876i −0.447146 + 0.664887i
\(310\) 1.92332 3.63359i 0.109237 0.206374i
\(311\) 9.52861i 0.540318i −0.962816 0.270159i \(-0.912924\pi\)
0.962816 0.270159i \(-0.0870763\pi\)
\(312\) −10.4293 + 19.9490i −0.590441 + 1.12939i
\(313\) 25.1690i 1.42264i 0.702870 + 0.711319i \(0.251902\pi\)
−0.702870 + 0.711319i \(0.748098\pi\)
\(314\) 9.48590 + 5.02105i 0.535321 + 0.283354i
\(315\) 13.8227 + 5.82265i 0.778818 + 0.328069i
\(316\) 3.02760 + 4.45264i 0.170316 + 0.250480i
\(317\) 15.5287 + 15.5287i 0.872178 + 0.872178i 0.992709 0.120532i \(-0.0384600\pi\)
−0.120532 + 0.992709i \(0.538460\pi\)
\(318\) −2.97073 + 1.59193i −0.166590 + 0.0892711i
\(319\) 7.32238i 0.409975i
\(320\) −15.0219 9.51780i −0.839752 0.532061i
\(321\) −5.77846 + 1.13145i −0.322522 + 0.0631513i
\(322\) −6.87930 + 2.11727i −0.383368 + 0.117991i
\(323\) 6.28736 6.28736i 0.349838 0.349838i
\(324\) 3.57987 17.6404i 0.198882 0.980024i
\(325\) −0.190507 0.190507i −0.0105674 0.0105674i
\(326\) −8.21029 + 15.5111i −0.454726 + 0.859082i
\(327\) −4.20006 21.4503i −0.232264 1.18620i
\(328\) 22.5535 + 18.0552i 1.24531 + 0.996931i
\(329\) −8.41758 −0.464076
\(330\) 8.34013 + 2.52032i 0.459109 + 0.138739i
\(331\) 2.58795 2.58795i 0.142247 0.142247i −0.632397 0.774644i \(-0.717929\pi\)
0.774644 + 0.632397i \(0.217929\pi\)
\(332\) −1.38211 + 7.25491i −0.0758533 + 0.398165i
\(333\) 3.80092 9.02318i 0.208289 0.494467i
\(334\) 22.9345 7.05863i 1.25492 0.386231i
\(335\) −25.2362 −1.37880
\(336\) −8.82750 12.8409i −0.481580 0.700531i
\(337\) −23.1690 −1.26210 −0.631049 0.775743i \(-0.717375\pi\)
−0.631049 + 0.775743i \(0.717375\pi\)
\(338\) −10.9670 + 3.37536i −0.596527 + 0.183595i
\(339\) 22.8564 + 15.3713i 1.24139 + 0.834852i
\(340\) 7.26719 + 1.38445i 0.394119 + 0.0750825i
\(341\) 1.47968 1.47968i 0.0801291 0.0801291i
\(342\) 22.5572 + 2.26574i 1.21976 + 0.122517i
\(343\) −20.1104 −1.08586
\(344\) 15.0219 1.66400i 0.809929 0.0897170i
\(345\) 8.55026 1.67418i 0.460331 0.0901349i
\(346\) 15.2621 28.8337i 0.820497 1.55011i
\(347\) −6.72235 6.72235i −0.360875 0.360875i 0.503260 0.864135i \(-0.332134\pi\)
−0.864135 + 0.503260i \(0.832134\pi\)
\(348\) 11.1519 11.2664i 0.597805 0.603942i
\(349\) −2.75086 + 2.75086i −0.147250 + 0.147250i −0.776888 0.629638i \(-0.783203\pi\)
0.629638 + 0.776888i \(0.283203\pi\)
\(350\) 0.178247 0.0548598i 0.00952771 0.00293238i
\(351\) 19.9706 13.0862i 1.06595 0.698491i
\(352\) −5.88273 6.87930i −0.313551 0.366668i
\(353\) 23.1928i 1.23443i −0.786796 0.617213i \(-0.788262\pi\)
0.786796 0.617213i \(-0.211738\pi\)
\(354\) −6.35420 11.8577i −0.337722 0.630229i
\(355\) 17.4396 + 17.4396i 0.925600 + 0.925600i
\(356\) 12.1602 8.26837i 0.644487 0.438223i
\(357\) 5.37907 + 3.61750i 0.284690 + 0.191458i
\(358\) 2.36641 + 1.25258i 0.125068 + 0.0662008i
\(359\) 27.3664i 1.44434i 0.691713 + 0.722172i \(0.256856\pi\)
−0.691713 + 0.722172i \(0.743144\pi\)
\(360\) 8.99390 + 16.5798i 0.474020 + 0.873830i
\(361\) 9.55348i 0.502815i
\(362\) 9.58633 18.1108i 0.503846 0.951881i
\(363\) −12.1300 8.15759i −0.636659 0.428162i
\(364\) 3.86813 20.3043i 0.202745 1.06424i
\(365\) −10.0299 10.0299i −0.524991 0.524991i
\(366\) −12.7950 + 6.85649i −0.668807 + 0.358395i
\(367\) 26.0406i 1.35931i −0.733533 0.679654i \(-0.762130\pi\)
0.733533 0.679654i \(-0.237870\pi\)
\(368\) −8.41758 3.32801i −0.438797 0.173484i
\(369\) −11.5569 28.3799i −0.601629 1.47740i
\(370\) 3.01805 + 9.80605i 0.156901 + 0.509793i
\(371\) 2.18829 2.18829i 0.113611 0.113611i
\(372\) 4.53020 0.0231346i 0.234880 0.00119948i
\(373\) −13.1319 13.1319i −0.679943 0.679943i 0.280044 0.959987i \(-0.409651\pi\)
−0.959987 + 0.280044i \(0.909651\pi\)
\(374\) 3.32801 + 1.76157i 0.172087 + 0.0910885i
\(375\) −19.1138 + 3.74258i −0.987034 + 0.193266i
\(376\) −8.26375 6.61555i −0.426170 0.341171i
\(377\) 21.0274 1.08297
\(378\) 1.53898 + 16.4559i 0.0791566 + 0.846402i
\(379\) −17.4526 + 17.4526i −0.896482 + 0.896482i −0.995123 0.0986413i \(-0.968550\pi\)
0.0986413 + 0.995123i \(0.468550\pi\)
\(380\) −19.6453 + 13.3579i −1.00778 + 0.685248i
\(381\) 10.6717 + 7.17689i 0.546729 + 0.367683i
\(382\) 10.2086 + 33.1690i 0.522315 + 1.69707i
\(383\) −26.4965 −1.35391 −0.676953 0.736027i \(-0.736700\pi\)
−0.676953 + 0.736027i \(0.736700\pi\)
\(384\) 1.42578 19.5440i 0.0727589 0.997350i
\(385\) −8.00000 −0.407718
\(386\) −3.48651 11.3282i −0.177459 0.576588i
\(387\) −14.7734 6.22315i −0.750975 0.316341i
\(388\) 9.38445 6.38101i 0.476423 0.323947i
\(389\) −2.35506 + 2.35506i −0.119406 + 0.119406i −0.764285 0.644879i \(-0.776908\pi\)
0.644879 + 0.764285i \(0.276908\pi\)
\(390\) −7.23752 + 23.9501i −0.366486 + 1.21276i
\(391\) 3.76547 0.190428
\(392\) −4.28661 3.43165i −0.216507 0.173324i
\(393\) 1.82791 + 9.33537i 0.0922058 + 0.470907i
\(394\) −2.28018 1.20693i −0.114874 0.0608045i
\(395\) 4.23175 + 4.23175i 0.212923 + 0.212923i
\(396\) 1.89291 + 9.41220i 0.0951224 + 0.472981i
\(397\) 4.68879 4.68879i 0.235324 0.235324i −0.579587 0.814910i \(-0.696786\pi\)
0.814910 + 0.579587i \(0.196786\pi\)
\(398\) 5.44928 + 17.7055i 0.273148 + 0.887496i
\(399\) −20.4285 + 4.00000i −1.02271 + 0.200250i
\(400\) 0.218105 + 0.0862308i 0.0109053 + 0.00431154i
\(401\) 5.18714i 0.259033i −0.991577 0.129517i \(-0.958657\pi\)
0.991577 0.129517i \(-0.0413426\pi\)
\(402\) −13.1347 24.5110i −0.655101 1.22250i
\(403\) 4.24914 + 4.24914i 0.211665 + 0.211665i
\(404\) 5.45536 28.6360i 0.271414 1.42469i
\(405\) 0.239367 20.0048i 0.0118943 0.994048i
\(406\) −6.80949 + 12.8647i −0.337949 + 0.638464i
\(407\) 5.22225i 0.258858i
\(408\) 2.43770 + 7.77890i 0.120684 + 0.385113i
\(409\) 14.8793i 0.735734i 0.929878 + 0.367867i \(0.119912\pi\)
−0.929878 + 0.367867i \(0.880088\pi\)
\(410\) 28.3799 + 15.0219i 1.40158 + 0.741881i
\(411\) 2.63790 3.92245i 0.130118 0.193480i
\(412\) 13.4492 9.14486i 0.662595 0.450535i
\(413\) 8.73458 + 8.73458i 0.429801 + 0.429801i
\(414\) 6.07623 + 7.43317i 0.298631 + 0.365321i
\(415\) 8.20855i 0.402942i
\(416\) 19.7550 16.8932i 0.968570 0.828259i
\(417\) 0.0129898 + 0.0663404i 0.000636111 + 0.00324870i
\(418\) −11.5569 + 3.55691i −0.565267 + 0.173974i
\(419\) −25.3026 + 25.3026i −1.23611 + 1.23611i −0.274533 + 0.961578i \(0.588523\pi\)
−0.961578 + 0.274533i \(0.911477\pi\)
\(420\) −12.3090 12.1839i −0.600617 0.594514i
\(421\) 7.13187 + 7.13187i 0.347586 + 0.347586i 0.859210 0.511623i \(-0.170956\pi\)
−0.511623 + 0.859210i \(0.670956\pi\)
\(422\) −7.92554 + 14.9732i −0.385809 + 0.728882i
\(423\) 4.23453 + 10.3986i 0.205890 + 0.505597i
\(424\) 3.86813 0.428478i 0.187853 0.0208087i
\(425\) −0.0975657 −0.00473263
\(426\) −7.86161 + 26.0153i −0.380896 + 1.26045i
\(427\) 9.42504 9.42504i 0.456110 0.456110i
\(428\) 6.67897 + 1.27239i 0.322840 + 0.0615035i
\(429\) −7.10675 + 10.5674i −0.343117 + 0.510200i
\(430\) 16.0552 4.94137i 0.774250 0.238294i
\(431\) 15.4882 0.746038 0.373019 0.927824i \(-0.378323\pi\)
0.373019 + 0.927824i \(0.378323\pi\)
\(432\) −11.4222 + 17.3647i −0.549551 + 0.835460i
\(433\) 25.5500 1.22786 0.613928 0.789362i \(-0.289588\pi\)
0.613928 + 0.789362i \(0.289588\pi\)
\(434\) −3.97568 + 1.22361i −0.190839 + 0.0587352i
\(435\) 9.83249 14.6205i 0.471432 0.700999i
\(436\) −4.72326 + 24.7931i −0.226203 + 1.18737i
\(437\) −8.55026 + 8.55026i −0.409014 + 0.409014i
\(438\) 4.52139 14.9620i 0.216041 0.714911i
\(439\) 2.63703 0.125859 0.0629293 0.998018i \(-0.479956\pi\)
0.0629293 + 0.998018i \(0.479956\pi\)
\(440\) −7.85380 6.28736i −0.374415 0.299738i
\(441\) 2.19656 + 5.39400i 0.104598 + 0.256857i
\(442\) −5.05863 + 9.55691i −0.240615 + 0.454576i
\(443\) 14.8580 + 14.8580i 0.705927 + 0.705927i 0.965676 0.259749i \(-0.0836399\pi\)
−0.259749 + 0.965676i \(0.583640\pi\)
\(444\) −7.95343 + 8.03508i −0.377453 + 0.381328i
\(445\) 11.5569 11.5569i 0.547850 0.547850i
\(446\) 29.1570 8.97377i 1.38063 0.424920i
\(447\) −5.91617 30.2147i −0.279825 1.42910i
\(448\) 3.93793 + 17.5569i 0.186050 + 0.829486i
\(449\) 31.7079i 1.49639i 0.663480 + 0.748194i \(0.269079\pi\)
−0.663480 + 0.748194i \(0.730921\pi\)
\(450\) −0.157439 0.192598i −0.00742176 0.00907918i
\(451\) 11.5569 + 11.5569i 0.544194 + 0.544194i
\(452\) −17.8837 26.3013i −0.841180 1.23711i
\(453\) 16.3011 24.2390i 0.765891 1.13885i
\(454\) −29.6121 15.6742i −1.38977 0.735626i
\(455\) 22.9733i 1.07701i
\(456\) −23.1989 12.1283i −1.08639 0.567959i
\(457\) 23.8759i 1.11687i −0.829550 0.558433i \(-0.811403\pi\)
0.829550 0.558433i \(-0.188597\pi\)
\(458\) 3.14976 5.95061i 0.147179 0.278054i
\(459\) 1.76286 8.46480i 0.0822833 0.395103i
\(460\) −9.88273 1.88273i −0.460785 0.0877829i
\(461\) 0.921303 + 0.921303i 0.0429094 + 0.0429094i 0.728236 0.685327i \(-0.240341\pi\)
−0.685327 + 0.728236i \(0.740341\pi\)
\(462\) −4.16377 7.77009i −0.193716 0.361497i
\(463\) 26.1510i 1.21534i 0.794190 + 0.607670i \(0.207895\pi\)
−0.794190 + 0.607670i \(0.792105\pi\)
\(464\) −16.7957 + 7.27787i −0.779719 + 0.337866i
\(465\) 4.94137 0.967542i 0.229150 0.0448687i
\(466\) 0.208553 + 0.677618i 0.00966104 + 0.0313901i
\(467\) −16.2510 + 16.2510i −0.752005 + 0.752005i −0.974853 0.222848i \(-0.928465\pi\)
0.222848 + 0.974853i \(0.428465\pi\)
\(468\) −27.0287 + 5.43581i −1.24940 + 0.251270i
\(469\) 18.0552 + 18.0552i 0.833711 + 0.833711i
\(470\) −10.3986 5.50414i −0.479651 0.253887i
\(471\) 2.52588 + 12.9000i 0.116386 + 0.594400i
\(472\) 1.71027 + 15.4396i 0.0787217 + 0.710667i
\(473\) 8.55026 0.393141
\(474\) −1.90763 + 6.31264i −0.0876203 + 0.289949i
\(475\) 0.221543 0.221543i 0.0101651 0.0101651i
\(476\) −4.20879 6.18980i −0.192910 0.283709i
\(477\) −3.80413 1.60245i −0.174179 0.0733712i
\(478\) −12.6707 41.1690i −0.579546 1.88303i
\(479\) 11.7456 0.536669 0.268335 0.963326i \(-0.413527\pi\)
0.268335 + 0.963326i \(0.413527\pi\)
\(480\) −2.50846 21.6351i −0.114495 0.987504i
\(481\) −14.9966 −0.683784
\(482\) 6.44587 + 20.9435i 0.293601 + 0.953951i
\(483\) −7.31506 4.91948i −0.332847 0.223844i
\(484\) 9.49098 + 13.9582i 0.431408 + 0.634465i
\(485\) 8.91891 8.91891i 0.404987 0.404987i
\(486\) 19.5545 10.1795i 0.887010 0.461750i
\(487\) −0.783513 −0.0355044 −0.0177522 0.999842i \(-0.505651\pi\)
−0.0177522 + 0.999842i \(0.505651\pi\)
\(488\) 16.6601 1.84547i 0.754169 0.0835403i
\(489\) −21.0938 + 4.13026i −0.953893 + 0.186777i
\(490\) −5.39400 2.85514i −0.243676 0.128982i
\(491\) −10.0382 10.0382i −0.453018 0.453018i 0.443337 0.896355i \(-0.353794\pi\)
−0.896355 + 0.443337i \(0.853794\pi\)
\(492\) 0.180691 + 35.3828i 0.00814619 + 1.59518i
\(493\) 5.38445 5.38445i 0.242504 0.242504i
\(494\) −10.2143 33.1876i −0.459561 1.49318i
\(495\) 4.02447 + 9.88273i 0.180886 + 0.444196i
\(496\) −4.86469 1.92332i −0.218431 0.0863597i
\(497\) 24.9543i 1.11935i
\(498\) −7.97265 + 4.27232i −0.357263 + 0.191447i
\(499\) −29.9655 29.9655i −1.34144 1.34144i −0.894627 0.446815i \(-0.852558\pi\)
−0.446815 0.894627i \(-0.647442\pi\)
\(500\) 22.0925 + 4.20879i 0.988008 + 0.188223i
\(501\) 24.3872 + 16.4008i 1.08954 + 0.732732i
\(502\) −11.4396 + 21.6121i −0.510576 + 0.964596i
\(503\) 21.7131i 0.968138i −0.875030 0.484069i \(-0.839158\pi\)
0.875030 0.484069i \(-0.160842\pi\)
\(504\) 5.42728 18.2966i 0.241750 0.814996i
\(505\) 32.4001i 1.44179i
\(506\) −4.52579 2.39558i −0.201196 0.106496i
\(507\) −11.6617 7.84266i −0.517914 0.348305i
\(508\) −8.34998 12.2802i −0.370470 0.544845i
\(509\) −16.1276 16.1276i −0.714842 0.714842i 0.252702 0.967544i \(-0.418681\pi\)
−0.967544 + 0.252702i \(0.918681\pi\)
\(510\) 4.27955 + 7.98614i 0.189502 + 0.353632i
\(511\) 14.3518i 0.634886i
\(512\) −9.93237 + 20.3310i −0.438953 + 0.898510i
\(513\) 15.2181 + 23.2240i 0.671896 + 1.02536i
\(514\) 10.1173 3.11383i 0.446253 0.137345i
\(515\) 12.7820 12.7820i 0.563243 0.563243i
\(516\) 13.1556 + 13.0219i 0.579144 + 0.573259i
\(517\) −4.23453 4.23453i −0.186235 0.186235i
\(518\) 4.85647 9.17498i 0.213381 0.403125i
\(519\) 39.2112 7.67774i 1.72118 0.337015i
\(520\) 18.0552 22.5535i 0.791773 0.989035i
\(521\) −5.68847 −0.249216 −0.124608 0.992206i \(-0.539767\pi\)
−0.124608 + 0.992206i \(0.539767\pi\)
\(522\) 19.3179 + 1.94036i 0.845520 + 0.0849274i
\(523\) 13.6612 13.6612i 0.597362 0.597362i −0.342248 0.939610i \(-0.611188\pi\)
0.939610 + 0.342248i \(0.111188\pi\)
\(524\) 2.05561 10.7902i 0.0897998 0.471372i
\(525\) 0.189538 + 0.127467i 0.00827211 + 0.00556311i
\(526\) −13.8759 + 4.27062i −0.605016 + 0.186208i
\(527\) 2.17614 0.0947941
\(528\) 2.01899 10.9005i 0.0878654 0.474383i
\(529\) 17.8793 0.777361
\(530\) 4.13419 1.27239i 0.179578 0.0552692i
\(531\) 6.39619 15.1842i 0.277571 0.658938i
\(532\) 23.6121 + 4.49828i 1.02371 + 0.195025i
\(533\) −33.1876 + 33.1876i −1.43751 + 1.43751i
\(534\) 17.2398 + 5.20974i 0.746040 + 0.225447i
\(535\) 7.55691 0.326714
\(536\) 3.53529 + 31.9152i 0.152701 + 1.37853i
\(537\) 0.630120 + 3.21811i 0.0271917 + 0.138871i
\(538\) −2.59139 + 4.89572i −0.111723 + 0.211070i
\(539\) −2.19656 2.19656i −0.0946124 0.0946124i
\(540\) −8.85915 + 21.3350i −0.381237 + 0.918113i
\(541\) −24.5715 + 24.5715i −1.05641 + 1.05641i −0.0581016 + 0.998311i \(0.518505\pi\)
−0.998311 + 0.0581016i \(0.981495\pi\)
\(542\) −38.7724 + 11.9331i −1.66542 + 0.512572i
\(543\) 24.6291 4.82248i 1.05693 0.206953i
\(544\) 0.732814 9.38445i 0.0314191 0.402355i
\(545\) 28.0521i 1.20162i
\(546\) 22.3131 11.9570i 0.954912 0.511710i
\(547\) 3.56990 + 3.56990i 0.152638 + 0.152638i 0.779295 0.626657i \(-0.215577\pi\)
−0.626657 + 0.779295i \(0.715577\pi\)
\(548\) −4.51364 + 3.06908i −0.192813 + 0.131104i
\(549\) −16.3845 6.90180i −0.699273 0.294562i
\(550\) 0.117266 + 0.0620710i 0.00500025 + 0.00264672i
\(551\) 24.4530i 1.04173i
\(552\) −3.31506 10.5786i −0.141098 0.450256i
\(553\) 6.05520i 0.257493i
\(554\) −0.754180 + 1.42482i −0.0320421 + 0.0605348i
\(555\) −7.01244 + 10.4272i −0.297662 + 0.442610i
\(556\) 0.0146079 0.0766789i 0.000619513 0.00325191i
\(557\) −18.1602 18.1602i −0.769473 0.769473i 0.208540 0.978014i \(-0.433129\pi\)
−0.978014 + 0.208540i \(0.933129\pi\)
\(558\) 3.51158 + 4.29578i 0.148657 + 0.181855i
\(559\) 24.5535i 1.03850i
\(560\) 7.95137 + 18.3500i 0.336007 + 0.775427i
\(561\) 0.886172 + 4.52579i 0.0374142 + 0.191079i
\(562\) 9.28629 + 30.1725i 0.391719 + 1.27275i
\(563\) 6.91748 6.91748i 0.291537 0.291537i −0.546150 0.837687i \(-0.683907\pi\)
0.837687 + 0.546150i \(0.183907\pi\)
\(564\) −0.0662065 12.9645i −0.00278780 0.545904i
\(565\) −24.9966 24.9966i −1.05161 1.05161i
\(566\) −14.2875 7.56262i −0.600549 0.317880i
\(567\) −14.4837 + 14.1412i −0.608257 + 0.593873i
\(568\) 19.6121 24.4983i 0.822906 1.02793i
\(569\) 36.2961 1.52161 0.760807 0.648979i \(-0.224804\pi\)
0.760807 + 0.648979i \(0.224804\pi\)
\(570\) −27.8518 8.41658i −1.16658 0.352532i
\(571\) −33.5224 + 33.5224i −1.40287 + 1.40287i −0.612056 + 0.790814i \(0.709657\pi\)
−0.790814 + 0.612056i \(0.790343\pi\)
\(572\) 12.1602 8.26837i 0.508442 0.345718i
\(573\) −23.7196 + 35.2701i −0.990901 + 1.47343i
\(574\) −9.55691 31.0518i −0.398898 1.29608i
\(575\) 0.132681 0.00553317
\(576\) 19.7078 13.6968i 0.821158 0.570702i
\(577\) −18.9345 −0.788253 −0.394127 0.919056i \(-0.628953\pi\)
−0.394127 + 0.919056i \(0.628953\pi\)
\(578\) −5.92015 19.2354i −0.246246 0.800086i
\(579\) 8.10092 12.0457i 0.336663 0.500603i
\(580\) −16.8241 + 11.4396i −0.698583 + 0.475006i
\(581\) 5.87279 5.87279i 0.243644 0.243644i
\(582\) 13.3046 + 4.02055i 0.551495 + 0.166657i
\(583\) 2.20168 0.0911842
\(584\) −11.2794 + 14.0895i −0.466744 + 0.583028i
\(585\) −28.3799 + 11.5569i −1.17336 + 0.477820i
\(586\) −11.2767 5.96896i −0.465838 0.246576i
\(587\) 29.6211 + 29.6211i 1.22259 + 1.22259i 0.966707 + 0.255885i \(0.0823667\pi\)
0.255885 + 0.966707i \(0.417633\pi\)
\(588\) −0.0343430 6.72500i −0.00141628 0.277335i
\(589\) −4.94137 + 4.94137i −0.203605 + 0.203605i
\(590\) 5.07877 + 16.5016i 0.209090 + 0.679361i
\(591\) −0.607159 3.10084i −0.0249752 0.127551i
\(592\) 11.9785 5.19051i 0.492314 0.213329i
\(593\) 21.6263i 0.888086i −0.896005 0.444043i \(-0.853544\pi\)
0.896005 0.444043i \(-0.146456\pi\)
\(594\) −7.50410 + 9.05249i −0.307897 + 0.371428i
\(595\) −5.88273 5.88273i −0.241169 0.241169i
\(596\) −6.65315 + 34.9233i −0.272524 + 1.43052i
\(597\) −12.6614 + 18.8270i −0.518198 + 0.770539i
\(598\) 6.87930 12.9966i 0.281315 0.531469i
\(599\) 29.8079i 1.21792i −0.793201 0.608959i \(-0.791587\pi\)
0.793201 0.608959i \(-0.208413\pi\)
\(600\) 0.0858953 + 0.274099i 0.00350666 + 0.0111901i
\(601\) 32.8432i 1.33970i −0.742495 0.669851i \(-0.766358\pi\)
0.742495 0.669851i \(-0.233642\pi\)
\(602\) −15.0219 7.95137i −0.612249 0.324073i
\(603\) 13.2215 31.3872i 0.538422 1.27818i
\(604\) −27.8923 + 18.9655i −1.13492 + 0.771696i
\(605\) 13.2658 + 13.2658i 0.539331 + 0.539331i
\(606\) 31.4690 16.8633i 1.27834 0.685026i
\(607\) 6.95597i 0.282334i 0.989986 + 0.141167i \(0.0450855\pi\)
−0.989986 + 0.141167i \(0.954915\pi\)
\(608\) 19.6453 + 22.9733i 0.796722 + 0.931691i
\(609\) −17.4948 + 3.42557i −0.708927 + 0.138811i
\(610\) 17.8061 5.48024i 0.720946 0.221888i
\(611\) 12.1602 12.1602i 0.491947 0.491947i
\(612\) −5.52925 + 8.31312i −0.223507 + 0.336038i
\(613\) −13.5389 13.5389i −0.546830 0.546830i 0.378693 0.925522i \(-0.376374\pi\)
−0.925522 + 0.378693i \(0.876374\pi\)
\(614\) −6.16398 + 11.6452i −0.248758 + 0.469960i
\(615\) 7.55691 + 38.5942i 0.304724 + 1.55627i
\(616\) 1.12070 + 10.1173i 0.0451545 + 0.407636i
\(617\) −8.91891 −0.359062 −0.179531 0.983752i \(-0.557458\pi\)
−0.179531 + 0.983752i \(0.557458\pi\)
\(618\) 19.0673 + 5.76200i 0.767001 + 0.231782i
\(619\) −1.64658 + 1.64658i −0.0661818 + 0.0661818i −0.739423 0.673241i \(-0.764902\pi\)
0.673241 + 0.739423i \(0.264902\pi\)
\(620\) −5.71143 1.08807i −0.229377 0.0436979i
\(621\) −2.39734 + 11.5114i −0.0962018 + 0.461936i
\(622\) −12.8793 + 3.96391i −0.516413 + 0.158938i
\(623\) −16.5367 −0.662531
\(624\) 31.3025 + 5.79787i 1.25310 + 0.232100i
\(625\) 24.7034 0.988136
\(626\) 34.0196 10.4703i 1.35970 0.418479i
\(627\) −12.2890 8.26451i −0.490774 0.330053i
\(628\) 2.84053 14.9103i 0.113349 0.594987i
\(629\) −3.84014 + 3.84014i −0.153116 + 0.153116i
\(630\) 2.11993 21.1055i 0.0844599 0.840865i
\(631\) 19.2457 0.766159 0.383080 0.923715i \(-0.374863\pi\)
0.383080 + 0.923715i \(0.374863\pi\)
\(632\) 4.75890 5.94454i 0.189299 0.236461i
\(633\) −20.3622 + 3.98701i −0.809324 + 0.158469i
\(634\) 14.5293 27.4492i 0.577033 1.09015i
\(635\) −11.6710 11.6710i −0.463149 0.463149i
\(636\) 3.38755 + 3.35313i 0.134325 + 0.132960i
\(637\) 6.30777 6.30777i 0.249923 0.249923i
\(638\) −9.89726 + 3.04612i −0.391836 + 0.120597i
\(639\) −30.8271 + 12.5535i −1.21950 + 0.496608i
\(640\) −6.61555 + 24.2637i −0.261502 + 0.959109i
\(641\) 16.6343i 0.657016i −0.944501 0.328508i \(-0.893454\pi\)
0.944501 0.328508i \(-0.106546\pi\)
\(642\) 3.93316 + 7.33974i 0.155229 + 0.289676i
\(643\) −4.77502 4.77502i −0.188308 0.188308i 0.606656 0.794964i \(-0.292511\pi\)
−0.794964 + 0.606656i \(0.792511\pi\)
\(644\) 5.72358 + 8.41758i 0.225541 + 0.331699i
\(645\) 17.0722 + 11.4813i 0.672217 + 0.452075i
\(646\) −11.1138 5.88273i −0.437268 0.231453i
\(647\) 48.2095i 1.89531i −0.319293 0.947656i \(-0.603445\pi\)
0.319293 0.947656i \(-0.396555\pi\)
\(648\) −25.3328 + 2.49972i −0.995167 + 0.0981983i
\(649\) 8.78801i 0.344960i
\(650\) −0.178247 + 0.336749i −0.00699143 + 0.0132084i
\(651\) −4.22752 2.84306i −0.165689 0.111428i
\(652\) 24.3810 + 4.64476i 0.954834 + 0.181903i
\(653\) −24.2281 24.2281i −0.948121 0.948121i 0.0505983 0.998719i \(-0.483887\pi\)
−0.998719 + 0.0505983i \(0.983887\pi\)
\(654\) −27.2459 + 14.6003i −1.06540 + 0.570917i
\(655\) 12.2086i 0.477028i
\(656\) 15.0219 37.9953i 0.586509 1.48347i
\(657\) 17.7294 7.21979i 0.691689 0.281671i
\(658\) 3.50172 + 11.3776i 0.136511 + 0.443544i
\(659\) 9.47442 9.47442i 0.369071 0.369071i −0.498067 0.867138i \(-0.665957\pi\)
0.867138 + 0.498067i \(0.165957\pi\)
\(660\) −0.0629221 12.3214i −0.00244924 0.479608i
\(661\) 23.0406 + 23.0406i 0.896175 + 0.896175i 0.995095 0.0989204i \(-0.0315389\pi\)
−0.0989204 + 0.995095i \(0.531539\pi\)
\(662\) −4.57458 2.42140i −0.177796 0.0941104i
\(663\) −12.9966 + 2.54479i −0.504745 + 0.0988313i
\(664\) 10.3810 1.14992i 0.402862 0.0446255i
\(665\) 26.7159 1.03600
\(666\) −13.7773 1.38385i −0.533860 0.0536231i
\(667\) −7.32238 + 7.32238i −0.283524 + 0.283524i
\(668\) −19.0815 28.0629i −0.738286 1.08579i
\(669\) 31.0039 + 20.8506i 1.19868 + 0.806130i
\(670\) 10.4983 + 34.1104i 0.405584 + 1.31780i
\(671\) 9.48269 0.366075
\(672\) −13.6841 + 17.2735i −0.527877 + 0.666339i
\(673\) 29.7846 1.14811 0.574055 0.818816i \(-0.305369\pi\)
0.574055 + 0.818816i \(0.305369\pi\)
\(674\) 9.63833 + 31.3163i 0.371255 + 1.20626i
\(675\) 0.0621166 0.298267i 0.00239087 0.0114803i
\(676\) 9.12457 + 13.4194i 0.350945 + 0.516129i
\(677\) 5.59631 5.59631i 0.215084 0.215084i −0.591339 0.806423i \(-0.701401\pi\)
0.806423 + 0.591339i \(0.201401\pi\)
\(678\) 11.2682 37.2882i 0.432752 1.43204i
\(679\) −12.7620 −0.489762
\(680\) −1.15187 10.3986i −0.0441721 0.398768i
\(681\) −7.88503 40.2699i −0.302155 1.54314i
\(682\) −2.61555 1.38445i −0.100154 0.0530134i
\(683\) 19.5790 + 19.5790i 0.749168 + 0.749168i 0.974323 0.225155i \(-0.0722887\pi\)
−0.225155 + 0.974323i \(0.572289\pi\)
\(684\) −6.32135 31.4319i −0.241703 1.20183i
\(685\) −4.28973 + 4.28973i −0.163902 + 0.163902i
\(686\) 8.36594 + 27.1821i 0.319413 + 1.03782i
\(687\) 8.09231 1.58451i 0.308741 0.0604529i
\(688\) −8.49828 19.6121i −0.323994 0.747705i
\(689\) 6.32248i 0.240867i
\(690\) −5.81981 10.8605i −0.221556 0.413450i
\(691\) 3.98701 + 3.98701i 0.151673 + 0.151673i 0.778865 0.627192i \(-0.215796\pi\)
−0.627192 + 0.778865i \(0.715796\pi\)
\(692\) −45.3219 8.63416i −1.72288 0.328221i
\(693\) 4.19129 9.94988i 0.159214 0.377965i
\(694\) −6.28973 + 11.8827i −0.238755 + 0.451062i
\(695\) 0.0867582i 0.00329093i
\(696\) −19.8674 10.3866i −0.753070 0.393702i
\(697\) 16.9966i 0.643791i
\(698\) 4.86254 + 2.57383i 0.184050 + 0.0974207i
\(699\) −0.484574 + 0.720541i −0.0183283 + 0.0272534i
\(700\) −0.148302 0.218105i −0.00560528 0.00824360i
\(701\) 15.2117 + 15.2117i 0.574537 + 0.574537i 0.933393 0.358856i \(-0.116833\pi\)
−0.358856 + 0.933393i \(0.616833\pi\)
\(702\) −25.9957 21.5492i −0.981145 0.813324i
\(703\) 17.4396i 0.657749i
\(704\) −6.85114 + 10.8132i −0.258212 + 0.407536i
\(705\) −2.76891 14.1412i −0.104283 0.532587i
\(706\) −31.3484 + 9.64820i −1.17981 + 0.363115i
\(707\) −23.1806 + 23.1806i −0.871796 + 0.871796i
\(708\) −13.3840 + 13.5214i −0.503003 + 0.508167i
\(709\) 20.3009 + 20.3009i 0.762416 + 0.762416i 0.976759 0.214342i \(-0.0687608\pi\)
−0.214342 + 0.976759i \(0.568761\pi\)
\(710\) 16.3173 30.8271i 0.612377 1.15692i
\(711\) −7.48024 + 3.04612i −0.280531 + 0.114238i
\(712\) −16.2345 12.9966i −0.608415 0.487067i
\(713\) −2.95936 −0.110829
\(714\) 2.65188 8.77547i 0.0992439 0.328414i
\(715\) 11.5569 11.5569i 0.432204 0.432204i
\(716\) 0.708614 3.71961i 0.0264822 0.139009i
\(717\) 29.4405 43.7768i 1.09948 1.63488i
\(718\) 36.9897 11.3845i 1.38044 0.424864i
\(719\) −3.52314 −0.131391 −0.0656954 0.997840i \(-0.520927\pi\)
−0.0656954 + 0.997840i \(0.520927\pi\)
\(720\) 18.6685 19.0537i 0.695733 0.710091i
\(721\) −18.2897 −0.681145
\(722\) 12.9129 3.97425i 0.480569 0.147906i
\(723\) −14.9770 + 22.2702i −0.557000 + 0.828236i
\(724\) −28.4672 5.42322i −1.05798 0.201552i
\(725\) 0.189728 0.189728i 0.00704631 0.00704631i
\(726\) −5.98008 + 19.7890i −0.221942 + 0.734439i
\(727\) 20.3664 0.755348 0.377674 0.925939i \(-0.376724\pi\)
0.377674 + 0.925939i \(0.376724\pi\)
\(728\) −29.0534 + 3.21829i −1.07679 + 0.119278i
\(729\) 24.7553 + 10.7785i 0.916863 + 0.399202i
\(730\) −9.38445 + 17.7294i −0.347334 + 0.656194i
\(731\) 6.28736 + 6.28736i 0.232547 + 0.232547i
\(732\) 14.5903 + 14.4420i 0.539272 + 0.533793i
\(733\) 2.48024 2.48024i 0.0916096 0.0916096i −0.659817 0.751426i \(-0.729366\pi\)
0.751426 + 0.659817i \(0.229366\pi\)
\(734\) −35.1976 + 10.8329i −1.29917 + 0.399850i
\(735\) −1.43630 7.33537i −0.0529787 0.270569i
\(736\) −0.996562 + 12.7620i −0.0367338 + 0.470415i
\(737\) 18.1656i 0.669140i
\(738\) −33.5518 + 27.4269i −1.23506 + 1.00960i
\(739\) 15.7931 + 15.7931i 0.580957 + 0.580957i 0.935166 0.354209i \(-0.115250\pi\)
−0.354209 + 0.935166i \(0.615250\pi\)
\(740\) 11.9988 8.15865i 0.441084 0.299918i
\(741\) 23.7329 35.2898i 0.871849 1.29640i
\(742\) −3.86813 2.04746i −0.142003 0.0751647i
\(743\) 38.5942i 1.41588i 0.706271 + 0.707941i \(0.250376\pi\)
−0.706271 + 0.707941i \(0.749624\pi\)
\(744\) −1.91584 6.11360i −0.0702380 0.224135i
\(745\) 39.5139i 1.44768i
\(746\) −12.2868 + 23.2125i −0.449850 + 0.849870i
\(747\) −10.2093 4.30055i −0.373537 0.157349i
\(748\) 0.996562 5.23109i 0.0364379 0.191268i
\(749\) −5.40658 5.40658i −0.197552 0.197552i
\(750\) 13.0100 + 24.2782i 0.475058 + 0.886514i
\(751\) 17.6527i 0.644156i −0.946713 0.322078i \(-0.895619\pi\)
0.946713 0.322078i \(-0.104381\pi\)
\(752\) −5.50414 + 13.9217i −0.200716 + 0.507673i
\(753\) −29.3906 + 5.75481i −1.07105 + 0.209717i
\(754\) −8.74742 28.4216i −0.318562 1.03505i
\(755\) −26.5086 + 26.5086i −0.964747 + 0.964747i
\(756\) 21.6024 8.92583i 0.785670 0.324629i
\(757\) −32.7440 32.7440i −1.19010 1.19010i −0.977039 0.213062i \(-0.931657\pi\)
−0.213062 0.977039i \(-0.568343\pi\)
\(758\) 30.8501 + 16.3295i 1.12053 + 0.593113i
\(759\) −1.20512 6.15468i −0.0437429 0.223401i
\(760\) 26.2277 + 20.9966i 0.951377 + 0.761625i
\(761\) 6.69113 0.242553 0.121277 0.992619i \(-0.461301\pi\)
0.121277 + 0.992619i \(0.461301\pi\)
\(762\) 5.26116 17.4100i 0.190592 0.630697i
\(763\) 20.0698 20.0698i 0.726576 0.726576i
\(764\) 40.5860 27.5967i 1.46835 0.998413i
\(765\) −4.30783 + 10.2265i −0.155750 + 0.369741i
\(766\) 11.0225 + 35.8138i 0.398261 + 1.29400i
\(767\) −25.2362 −0.911227
\(768\) −27.0096 + 6.20317i −0.974626 + 0.223837i
\(769\) −5.03265 −0.181482 −0.0907411 0.995875i \(-0.528924\pi\)
−0.0907411 + 0.995875i \(0.528924\pi\)
\(770\) 3.32801 + 10.8132i 0.119933 + 0.389679i
\(771\) 10.7581 + 7.23499i 0.387445 + 0.260562i
\(772\) −13.8613 + 9.42504i −0.498877 + 0.339215i
\(773\) 10.6859 10.6859i 0.384344 0.384344i −0.488320 0.872665i \(-0.662390\pi\)
0.872665 + 0.488320i