Properties

Label 240.2.bl.a.229.3
Level $240$
Weight $2$
Character 240.229
Analytic conductor $1.916$
Analytic rank $0$
Dimension $48$
CM no
Inner twists $4$

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Newspace parameters

Level: \( N \) \(=\) \( 240 = 2^{4} \cdot 3 \cdot 5 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 240.bl (of order \(4\), degree \(2\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(1.91640964851\)
Analytic rank: \(0\)
Dimension: \(48\)
Relative dimension: \(24\) over \(\Q(i)\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{4}]$

Embedding invariants

Embedding label 229.3
Character \(\chi\) \(=\) 240.229
Dual form 240.2.bl.a.109.3

$q$-expansion

\(f(q)\) \(=\) \(q+(-1.36038 - 0.386472i) q^{2} +(0.707107 + 0.707107i) q^{3} +(1.70128 + 1.05150i) q^{4} +(-1.98421 - 1.03097i) q^{5} +(-0.688658 - 1.23521i) q^{6} -3.91927 q^{7} +(-1.90801 - 2.08794i) q^{8} +1.00000i q^{9} +O(q^{10})\) \(q+(-1.36038 - 0.386472i) q^{2} +(0.707107 + 0.707107i) q^{3} +(1.70128 + 1.05150i) q^{4} +(-1.98421 - 1.03097i) q^{5} +(-0.688658 - 1.23521i) q^{6} -3.91927 q^{7} +(-1.90801 - 2.08794i) q^{8} +1.00000i q^{9} +(2.30085 + 2.16936i) q^{10} +(-2.93423 - 2.93423i) q^{11} +(0.459462 + 1.94651i) q^{12} +(-0.732828 - 0.732828i) q^{13} +(5.33170 + 1.51469i) q^{14} +(-0.674045 - 2.13206i) q^{15} +(1.78869 + 3.57779i) q^{16} -2.89302i q^{17} +(0.386472 - 1.36038i) q^{18} +(1.67534 - 1.67534i) q^{19} +(-2.29163 - 3.84037i) q^{20} +(-2.77134 - 2.77134i) q^{21} +(2.85767 + 5.12567i) q^{22} -1.73133 q^{23} +(0.127228 - 2.82556i) q^{24} +(2.87420 + 4.09133i) q^{25} +(0.713708 + 1.28014i) q^{26} +(-0.707107 + 0.707107i) q^{27} +(-6.66776 - 4.12111i) q^{28} +(-4.99003 + 4.99003i) q^{29} +(0.0929773 + 3.16091i) q^{30} -10.8149 q^{31} +(-1.05059 - 5.55844i) q^{32} -4.14963i q^{33} +(-1.11807 + 3.93561i) q^{34} +(7.77666 + 4.04065i) q^{35} +(-1.05150 + 1.70128i) q^{36} +(6.41524 - 6.41524i) q^{37} +(-2.92658 + 1.63163i) q^{38} -1.03637i q^{39} +(1.63330 + 6.11002i) q^{40} -0.00577512i q^{41} +(2.69904 + 4.84113i) q^{42} +(-2.23930 + 2.23930i) q^{43} +(-1.90660 - 8.07728i) q^{44} +(1.03097 - 1.98421i) q^{45} +(2.35527 + 0.669110i) q^{46} +11.6451i q^{47} +(-1.26508 + 3.79468i) q^{48} +8.36066 q^{49} +(-2.32883 - 6.67657i) q^{50} +(2.04567 - 2.04567i) q^{51} +(-0.476175 - 2.01731i) q^{52} +(5.55765 - 5.55765i) q^{53} +(1.23521 - 0.688658i) q^{54} +(2.79703 + 8.84724i) q^{55} +(7.47801 + 8.18319i) q^{56} +2.36929 q^{57} +(8.71685 - 4.85983i) q^{58} +(3.83290 + 3.83290i) q^{59} +(1.09512 - 4.33598i) q^{60} +(9.30595 - 9.30595i) q^{61} +(14.7123 + 4.17964i) q^{62} -3.91927i q^{63} +(-0.718981 + 7.96763i) q^{64} +(0.698563 + 2.20961i) q^{65} +(-1.60372 + 5.64508i) q^{66} +(-3.85243 - 3.85243i) q^{67} +(3.04201 - 4.92182i) q^{68} +(-1.22423 - 1.22423i) q^{69} +(-9.01763 - 8.50229i) q^{70} -1.15355i q^{71} +(2.08794 - 1.90801i) q^{72} -7.98713 q^{73} +(-11.2065 + 6.24786i) q^{74} +(-0.860637 + 4.92537i) q^{75} +(4.61185 - 1.08860i) q^{76} +(11.5000 + 11.5000i) q^{77} +(-0.400530 + 1.40987i) q^{78} +0.843960 q^{79} +(0.139442 - 8.94318i) q^{80} -1.00000 q^{81} +(-0.00223193 + 0.00785637i) q^{82} +(-5.20069 - 5.20069i) q^{83} +(-1.80076 - 7.62889i) q^{84} +(-2.98261 + 5.74036i) q^{85} +(3.91173 - 2.18088i) q^{86} -7.05696 q^{87} +(-0.527948 + 11.7250i) q^{88} +5.40896i q^{89} +(-2.16936 + 2.30085i) q^{90} +(2.87215 + 2.87215i) q^{91} +(-2.94547 - 1.82049i) q^{92} +(-7.64726 - 7.64726i) q^{93} +(4.50051 - 15.8418i) q^{94} +(-5.05147 + 1.59701i) q^{95} +(3.18753 - 4.67329i) q^{96} +2.24154i q^{97} +(-11.3737 - 3.23117i) q^{98} +(2.93423 - 2.93423i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 48 q+O(q^{10}) \) Copy content Toggle raw display \( 48 q + 12 q^{10} - 16 q^{14} - 4 q^{16} + 8 q^{19} - 4 q^{24} - 40 q^{26} - 8 q^{30} - 48 q^{31} - 28 q^{34} + 24 q^{35} - 4 q^{36} - 16 q^{40} - 40 q^{44} - 4 q^{46} + 48 q^{49} - 32 q^{50} + 8 q^{51} - 4 q^{54} + 48 q^{56} - 32 q^{59} - 24 q^{60} + 16 q^{61} + 48 q^{64} + 16 q^{65} + 24 q^{66} - 16 q^{69} + 40 q^{74} - 16 q^{75} + 60 q^{76} - 96 q^{79} + 72 q^{80} - 48 q^{81} + 16 q^{86} + 8 q^{90} - 32 q^{91} + 44 q^{94} - 48 q^{95} - 40 q^{96}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/240\mathbb{Z}\right)^\times\).

\(n\) \(31\) \(97\) \(161\) \(181\)
\(\chi(n)\) \(1\) \(-1\) \(1\) \(e\left(\frac{1}{4}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −1.36038 0.386472i −0.961935 0.273277i
\(3\) 0.707107 + 0.707107i 0.408248 + 0.408248i
\(4\) 1.70128 + 1.05150i 0.850639 + 0.525750i
\(5\) −1.98421 1.03097i −0.887367 0.461064i
\(6\) −0.688658 1.23521i −0.281143 0.504273i
\(7\) −3.91927 −1.48134 −0.740672 0.671867i \(-0.765493\pi\)
−0.740672 + 0.671867i \(0.765493\pi\)
\(8\) −1.90801 2.08794i −0.674584 0.738198i
\(9\) 1.00000i 0.333333i
\(10\) 2.30085 + 2.16936i 0.727591 + 0.686011i
\(11\) −2.93423 2.93423i −0.884703 0.884703i 0.109305 0.994008i \(-0.465138\pi\)
−0.994008 + 0.109305i \(0.965138\pi\)
\(12\) 0.459462 + 1.94651i 0.132635 + 0.561909i
\(13\) −0.732828 0.732828i −0.203250 0.203250i 0.598141 0.801391i \(-0.295906\pi\)
−0.801391 + 0.598141i \(0.795906\pi\)
\(14\) 5.33170 + 1.51469i 1.42496 + 0.404818i
\(15\) −0.674045 2.13206i −0.174038 0.550495i
\(16\) 1.78869 + 3.57779i 0.447173 + 0.894447i
\(17\) 2.89302i 0.701659i −0.936439 0.350830i \(-0.885900\pi\)
0.936439 0.350830i \(-0.114100\pi\)
\(18\) 0.386472 1.36038i 0.0910924 0.320645i
\(19\) 1.67534 1.67534i 0.384350 0.384350i −0.488316 0.872667i \(-0.662389\pi\)
0.872667 + 0.488316i \(0.162389\pi\)
\(20\) −2.29163 3.84037i −0.512425 0.858732i
\(21\) −2.77134 2.77134i −0.604756 0.604756i
\(22\) 2.85767 + 5.12567i 0.609258 + 1.09280i
\(23\) −1.73133 −0.361006 −0.180503 0.983574i \(-0.557773\pi\)
−0.180503 + 0.983574i \(0.557773\pi\)
\(24\) 0.127228 2.82556i 0.0259703 0.576766i
\(25\) 2.87420 + 4.09133i 0.574841 + 0.818265i
\(26\) 0.713708 + 1.28014i 0.139970 + 0.251057i
\(27\) −0.707107 + 0.707107i −0.136083 + 0.136083i
\(28\) −6.66776 4.12111i −1.26009 0.778817i
\(29\) −4.99003 + 4.99003i −0.926625 + 0.926625i −0.997486 0.0708617i \(-0.977425\pi\)
0.0708617 + 0.997486i \(0.477425\pi\)
\(30\) 0.0929773 + 3.16091i 0.0169753 + 0.577101i
\(31\) −10.8149 −1.94241 −0.971203 0.238254i \(-0.923425\pi\)
−0.971203 + 0.238254i \(0.923425\pi\)
\(32\) −1.05059 5.55844i −0.185720 0.982603i
\(33\) 4.14963i 0.722357i
\(34\) −1.11807 + 3.93561i −0.191748 + 0.674951i
\(35\) 7.77666 + 4.04065i 1.31450 + 0.682994i
\(36\) −1.05150 + 1.70128i −0.175250 + 0.283546i
\(37\) 6.41524 6.41524i 1.05466 1.05466i 0.0562413 0.998417i \(-0.482088\pi\)
0.998417 0.0562413i \(-0.0179116\pi\)
\(38\) −2.92658 + 1.63163i −0.474754 + 0.264686i
\(39\) 1.03637i 0.165953i
\(40\) 1.63330 + 6.11002i 0.258247 + 0.966079i
\(41\) 0.00577512i 0.000901923i −1.00000 0.000450961i \(-0.999856\pi\)
1.00000 0.000450961i \(-0.000143545\pi\)
\(42\) 2.69904 + 4.84113i 0.416470 + 0.747002i
\(43\) −2.23930 + 2.23930i −0.341490 + 0.341490i −0.856927 0.515437i \(-0.827630\pi\)
0.515437 + 0.856927i \(0.327630\pi\)
\(44\) −1.90660 8.07728i −0.287430 1.21770i
\(45\) 1.03097 1.98421i 0.153688 0.295789i
\(46\) 2.35527 + 0.669110i 0.347265 + 0.0986549i
\(47\) 11.6451i 1.69861i 0.527900 + 0.849307i \(0.322980\pi\)
−0.527900 + 0.849307i \(0.677020\pi\)
\(48\) −1.26508 + 3.79468i −0.182599 + 0.547714i
\(49\) 8.36066 1.19438
\(50\) −2.32883 6.67657i −0.329346 0.944209i
\(51\) 2.04567 2.04567i 0.286451 0.286451i
\(52\) −0.476175 2.01731i −0.0660336 0.279751i
\(53\) 5.55765 5.55765i 0.763402 0.763402i −0.213533 0.976936i \(-0.568497\pi\)
0.976936 + 0.213533i \(0.0684972\pi\)
\(54\) 1.23521 0.688658i 0.168091 0.0937145i
\(55\) 2.79703 + 8.84724i 0.377152 + 1.19296i
\(56\) 7.47801 + 8.18319i 0.999291 + 1.09353i
\(57\) 2.36929 0.313821
\(58\) 8.71685 4.85983i 1.14458 0.638127i
\(59\) 3.83290 + 3.83290i 0.499001 + 0.499001i 0.911127 0.412126i \(-0.135214\pi\)
−0.412126 + 0.911127i \(0.635214\pi\)
\(60\) 1.09512 4.33598i 0.141379 0.559772i
\(61\) 9.30595 9.30595i 1.19150 1.19150i 0.214859 0.976645i \(-0.431071\pi\)
0.976645 0.214859i \(-0.0689293\pi\)
\(62\) 14.7123 + 4.17964i 1.86847 + 0.530815i
\(63\) 3.91927i 0.493781i
\(64\) −0.718981 + 7.96763i −0.0898726 + 0.995953i
\(65\) 0.698563 + 2.20961i 0.0866461 + 0.274068i
\(66\) −1.60372 + 5.64508i −0.197404 + 0.694861i
\(67\) −3.85243 3.85243i −0.470649 0.470649i 0.431476 0.902124i \(-0.357993\pi\)
−0.902124 + 0.431476i \(0.857993\pi\)
\(68\) 3.04201 4.92182i 0.368898 0.596859i
\(69\) −1.22423 1.22423i −0.147380 0.147380i
\(70\) −9.01763 8.50229i −1.07781 1.01622i
\(71\) 1.15355i 0.136901i −0.997655 0.0684504i \(-0.978195\pi\)
0.997655 0.0684504i \(-0.0218055\pi\)
\(72\) 2.08794 1.90801i 0.246066 0.224861i
\(73\) −7.98713 −0.934823 −0.467411 0.884040i \(-0.654813\pi\)
−0.467411 + 0.884040i \(0.654813\pi\)
\(74\) −11.2065 + 6.24786i −1.30273 + 0.726299i
\(75\) −0.860637 + 4.92537i −0.0993778 + 0.568733i
\(76\) 4.61185 1.08860i 0.529016 0.124871i
\(77\) 11.5000 + 11.5000i 1.31055 + 1.31055i
\(78\) −0.400530 + 1.40987i −0.0453511 + 0.159636i
\(79\) 0.843960 0.0949529 0.0474765 0.998872i \(-0.484882\pi\)
0.0474765 + 0.998872i \(0.484882\pi\)
\(80\) 0.139442 8.94318i 0.0155901 0.999878i
\(81\) −1.00000 −0.111111
\(82\) −0.00223193 + 0.00785637i −0.000246475 + 0.000867591i
\(83\) −5.20069 5.20069i −0.570850 0.570850i 0.361516 0.932366i \(-0.382259\pi\)
−0.932366 + 0.361516i \(0.882259\pi\)
\(84\) −1.80076 7.62889i −0.196479 0.832380i
\(85\) −2.98261 + 5.74036i −0.323510 + 0.622629i
\(86\) 3.91173 2.18088i 0.421813 0.235170i
\(87\) −7.05696 −0.756586
\(88\) −0.527948 + 11.7250i −0.0562794 + 1.24989i
\(89\) 5.40896i 0.573349i 0.958028 + 0.286674i \(0.0925498\pi\)
−0.958028 + 0.286674i \(0.907450\pi\)
\(90\) −2.16936 + 2.30085i −0.228670 + 0.242530i
\(91\) 2.87215 + 2.87215i 0.301083 + 0.301083i
\(92\) −2.94547 1.82049i −0.307086 0.189799i
\(93\) −7.64726 7.64726i −0.792984 0.792984i
\(94\) 4.50051 15.8418i 0.464193 1.63396i
\(95\) −5.05147 + 1.59701i −0.518270 + 0.163850i
\(96\) 3.18753 4.67329i 0.325326 0.476966i
\(97\) 2.24154i 0.227594i 0.993504 + 0.113797i \(0.0363013\pi\)
−0.993504 + 0.113797i \(0.963699\pi\)
\(98\) −11.3737 3.23117i −1.14892 0.326397i
\(99\) 2.93423 2.93423i 0.294901 0.294901i
\(100\) 0.587786 + 9.98271i 0.0587786 + 0.998271i
\(101\) −7.50655 7.50655i −0.746930 0.746930i 0.226972 0.973901i \(-0.427118\pi\)
−0.973901 + 0.226972i \(0.927118\pi\)
\(102\) −3.57349 + 1.99230i −0.353828 + 0.197267i
\(103\) 3.91110 0.385372 0.192686 0.981260i \(-0.438280\pi\)
0.192686 + 0.981260i \(0.438280\pi\)
\(104\) −0.131856 + 2.92834i −0.0129295 + 0.287148i
\(105\) 2.64176 + 8.35610i 0.257810 + 0.815472i
\(106\) −9.70841 + 5.41265i −0.942964 + 0.525723i
\(107\) −2.60233 + 2.60233i −0.251577 + 0.251577i −0.821617 0.570040i \(-0.806928\pi\)
0.570040 + 0.821617i \(0.306928\pi\)
\(108\) −1.94651 + 0.459462i −0.187303 + 0.0442118i
\(109\) −2.06635 + 2.06635i −0.197920 + 0.197920i −0.799108 0.601188i \(-0.794694\pi\)
0.601188 + 0.799108i \(0.294694\pi\)
\(110\) −0.385821 13.1166i −0.0367866 1.25062i
\(111\) 9.07252 0.861125
\(112\) −7.01037 14.0223i −0.662418 1.32498i
\(113\) 8.13610i 0.765380i 0.923877 + 0.382690i \(0.125002\pi\)
−0.923877 + 0.382690i \(0.874998\pi\)
\(114\) −3.22315 0.915667i −0.301875 0.0857601i
\(115\) 3.43532 + 1.78495i 0.320345 + 0.166447i
\(116\) −13.7364 + 3.24241i −1.27540 + 0.301050i
\(117\) 0.732828 0.732828i 0.0677500 0.0677500i
\(118\) −3.73290 6.69551i −0.343641 0.616372i
\(119\) 11.3385i 1.03940i
\(120\) −3.16552 + 5.47535i −0.288971 + 0.499829i
\(121\) 6.21941i 0.565401i
\(122\) −16.2561 + 9.06315i −1.47176 + 0.820539i
\(123\) 0.00408363 0.00408363i 0.000368208 0.000368208i
\(124\) −18.3991 11.3718i −1.65229 1.02122i
\(125\) −1.48500 11.0813i −0.132822 0.991140i
\(126\) −1.51469 + 5.33170i −0.134939 + 0.474986i
\(127\) 16.0862i 1.42742i −0.700442 0.713709i \(-0.747014\pi\)
0.700442 0.713709i \(-0.252986\pi\)
\(128\) 4.05736 10.5611i 0.358623 0.933482i
\(129\) −3.16685 −0.278826
\(130\) −0.0963593 3.27589i −0.00845127 0.287314i
\(131\) 13.0407 13.0407i 1.13937 1.13937i 0.150808 0.988563i \(-0.451813\pi\)
0.988563 0.150808i \(-0.0481875\pi\)
\(132\) 4.36333 7.05967i 0.379780 0.614465i
\(133\) −6.56612 + 6.56612i −0.569355 + 0.569355i
\(134\) 3.75191 + 6.72963i 0.324116 + 0.581351i
\(135\) 2.13206 0.674045i 0.183498 0.0580125i
\(136\) −6.04044 + 5.51991i −0.517964 + 0.473328i
\(137\) −6.51614 −0.556711 −0.278356 0.960478i \(-0.589789\pi\)
−0.278356 + 0.960478i \(0.589789\pi\)
\(138\) 1.19229 + 2.13856i 0.101495 + 0.182046i
\(139\) −15.0953 15.0953i −1.28036 1.28036i −0.940461 0.339902i \(-0.889606\pi\)
−0.339902 0.940461i \(-0.610394\pi\)
\(140\) 8.98152 + 15.0514i 0.759077 + 1.27208i
\(141\) −8.23434 + 8.23434i −0.693456 + 0.693456i
\(142\) −0.445814 + 1.56926i −0.0374119 + 0.131690i
\(143\) 4.30057i 0.359632i
\(144\) −3.57779 + 1.78869i −0.298149 + 0.149058i
\(145\) 15.0458 4.75671i 1.24949 0.395023i
\(146\) 10.8655 + 3.08681i 0.899239 + 0.255466i
\(147\) 5.91188 + 5.91188i 0.487604 + 0.487604i
\(148\) 17.6597 4.16848i 1.45162 0.342647i
\(149\) 4.27402 + 4.27402i 0.350141 + 0.350141i 0.860162 0.510021i \(-0.170362\pi\)
−0.510021 + 0.860162i \(0.670362\pi\)
\(150\) 3.07432 6.36778i 0.251017 0.519927i
\(151\) 8.39998i 0.683581i −0.939776 0.341790i \(-0.888967\pi\)
0.939776 0.341790i \(-0.111033\pi\)
\(152\) −6.69459 0.301440i −0.543003 0.0244500i
\(153\) 2.89302 0.233886
\(154\) −11.2000 20.0889i −0.902521 1.61881i
\(155\) 21.4590 + 11.1498i 1.72363 + 0.895573i
\(156\) 1.08975 1.76316i 0.0872497 0.141166i
\(157\) −5.68893 5.68893i −0.454026 0.454026i 0.442662 0.896689i \(-0.354034\pi\)
−0.896689 + 0.442662i \(0.854034\pi\)
\(158\) −1.14811 0.326167i −0.0913386 0.0259485i
\(159\) 7.85971 0.623315
\(160\) −3.64599 + 12.1123i −0.288241 + 0.957558i
\(161\) 6.78553 0.534775
\(162\) 1.36038 + 0.386472i 0.106882 + 0.0303641i
\(163\) 5.63869 + 5.63869i 0.441656 + 0.441656i 0.892568 0.450912i \(-0.148901\pi\)
−0.450912 + 0.892568i \(0.648901\pi\)
\(164\) 0.00607254 0.00982509i 0.000474186 0.000767211i
\(165\) −4.27814 + 8.23374i −0.333053 + 0.640996i
\(166\) 5.06500 + 9.08485i 0.393120 + 0.705121i
\(167\) −6.45583 −0.499567 −0.249783 0.968302i \(-0.580359\pi\)
−0.249783 + 0.968302i \(0.580359\pi\)
\(168\) −0.498640 + 11.0741i −0.0384709 + 0.854389i
\(169\) 11.9259i 0.917379i
\(170\) 6.27598 6.65638i 0.481346 0.510521i
\(171\) 1.67534 + 1.67534i 0.128117 + 0.128117i
\(172\) −6.16430 + 1.45505i −0.470023 + 0.110946i
\(173\) 7.33664 + 7.33664i 0.557795 + 0.557795i 0.928679 0.370884i \(-0.120945\pi\)
−0.370884 + 0.928679i \(0.620945\pi\)
\(174\) 9.60016 + 2.72732i 0.727787 + 0.206758i
\(175\) −11.2648 16.0350i −0.851537 1.21213i
\(176\) 5.24962 15.7465i 0.395705 1.18694i
\(177\) 5.42054i 0.407432i
\(178\) 2.09042 7.35826i 0.156683 0.551525i
\(179\) −1.04377 + 1.04377i −0.0780153 + 0.0780153i −0.745038 0.667022i \(-0.767569\pi\)
0.667022 + 0.745038i \(0.267569\pi\)
\(180\) 3.84037 2.29163i 0.286244 0.170808i
\(181\) −12.1024 12.1024i −0.899567 0.899567i 0.0958310 0.995398i \(-0.469449\pi\)
−0.995398 + 0.0958310i \(0.969449\pi\)
\(182\) −2.79721 5.01723i −0.207343 0.371901i
\(183\) 13.1606 0.972859
\(184\) 3.30339 + 3.61490i 0.243529 + 0.266494i
\(185\) −19.3431 + 6.11528i −1.42213 + 0.449604i
\(186\) 7.44774 + 13.3586i 0.546095 + 0.979504i
\(187\) −8.48877 + 8.48877i −0.620761 + 0.620761i
\(188\) −12.2448 + 19.8116i −0.893046 + 1.44491i
\(189\) 2.77134 2.77134i 0.201585 0.201585i
\(190\) 7.48913 0.220291i 0.543318 0.0159816i
\(191\) −21.2273 −1.53596 −0.767978 0.640477i \(-0.778737\pi\)
−0.767978 + 0.640477i \(0.778737\pi\)
\(192\) −6.14236 + 5.12557i −0.443287 + 0.369906i
\(193\) 19.2782i 1.38767i 0.720132 + 0.693837i \(0.244081\pi\)
−0.720132 + 0.693837i \(0.755919\pi\)
\(194\) 0.866292 3.04935i 0.0621961 0.218930i
\(195\) −1.06847 + 2.05639i −0.0765148 + 0.147261i
\(196\) 14.2238 + 8.79124i 1.01599 + 0.627946i
\(197\) 9.48350 9.48350i 0.675672 0.675672i −0.283346 0.959018i \(-0.591444\pi\)
0.959018 + 0.283346i \(0.0914445\pi\)
\(198\) −5.12567 + 2.85767i −0.364266 + 0.203086i
\(199\) 8.65421i 0.613481i 0.951793 + 0.306740i \(0.0992383\pi\)
−0.951793 + 0.306740i \(0.900762\pi\)
\(200\) 3.05843 13.8075i 0.216264 0.976335i
\(201\) 5.44815i 0.384283i
\(202\) 7.31070 + 13.1129i 0.514379 + 0.922617i
\(203\) 19.5572 19.5572i 1.37265 1.37265i
\(204\) 5.63128 1.32923i 0.394268 0.0930648i
\(205\) −0.00595398 + 0.0114591i −0.000415844 + 0.000800336i
\(206\) −5.32059 1.51153i −0.370703 0.105313i
\(207\) 1.73133i 0.120335i
\(208\) 1.31110 3.93271i 0.0909083 0.272684i
\(209\) −9.83169 −0.680072
\(210\) −0.364403 12.3885i −0.0251462 0.854885i
\(211\) −0.875946 + 0.875946i −0.0603026 + 0.0603026i −0.736615 0.676312i \(-0.763577\pi\)
0.676312 + 0.736615i \(0.263577\pi\)
\(212\) 15.2990 3.61124i 1.05074 0.248021i
\(213\) 0.815681 0.815681i 0.0558895 0.0558895i
\(214\) 4.54589 2.53443i 0.310751 0.173250i
\(215\) 6.75190 2.13460i 0.460476 0.145578i
\(216\) 2.82556 + 0.127228i 0.192255 + 0.00865675i
\(217\) 42.3863 2.87737
\(218\) 3.60961 2.01243i 0.244473 0.136299i
\(219\) −5.64775 5.64775i −0.381640 0.381640i
\(220\) −4.54434 + 17.9927i −0.306379 + 1.21307i
\(221\) −2.12008 + 2.12008i −0.142612 + 0.142612i
\(222\) −12.3421 3.50628i −0.828347 0.235326i
\(223\) 10.4375i 0.698946i 0.936946 + 0.349473i \(0.113639\pi\)
−0.936946 + 0.349473i \(0.886361\pi\)
\(224\) 4.11754 + 21.7850i 0.275115 + 1.45557i
\(225\) −4.09133 + 2.87420i −0.272755 + 0.191614i
\(226\) 3.14438 11.0682i 0.209161 0.736246i
\(227\) −13.7218 13.7218i −0.910747 0.910747i 0.0855842 0.996331i \(-0.472724\pi\)
−0.996331 + 0.0855842i \(0.972724\pi\)
\(228\) 4.03083 + 2.49131i 0.266948 + 0.164991i
\(229\) 8.43878 + 8.43878i 0.557651 + 0.557651i 0.928638 0.370987i \(-0.120981\pi\)
−0.370987 + 0.928638i \(0.620981\pi\)
\(230\) −3.98352 3.75586i −0.262665 0.247654i
\(231\) 16.2635i 1.07006i
\(232\) 19.9399 + 0.897842i 1.30912 + 0.0589462i
\(233\) −28.6100 −1.87431 −0.937153 0.348919i \(-0.886549\pi\)
−0.937153 + 0.348919i \(0.886549\pi\)
\(234\) −1.28014 + 0.713708i −0.0836856 + 0.0466565i
\(235\) 12.0058 23.1064i 0.783169 1.50729i
\(236\) 2.49053 + 10.5511i 0.162120 + 0.686819i
\(237\) 0.596770 + 0.596770i 0.0387644 + 0.0387644i
\(238\) 4.38202 15.4247i 0.284044 0.999835i
\(239\) 21.4924 1.39023 0.695115 0.718899i \(-0.255354\pi\)
0.695115 + 0.718899i \(0.255354\pi\)
\(240\) 6.42239 6.22519i 0.414563 0.401834i
\(241\) −19.5943 −1.26218 −0.631091 0.775709i \(-0.717393\pi\)
−0.631091 + 0.775709i \(0.717393\pi\)
\(242\) 2.40363 8.46077i 0.154511 0.543879i
\(243\) −0.707107 0.707107i −0.0453609 0.0453609i
\(244\) 25.6172 6.04680i 1.63997 0.387106i
\(245\) −16.5893 8.61959i −1.05985 0.550685i
\(246\) −0.00713350 + 0.00397708i −0.000454816 + 0.000253570i
\(247\) −2.45548 −0.156238
\(248\) 20.6349 + 22.5808i 1.31032 + 1.43388i
\(249\) 7.35489i 0.466097i
\(250\) −2.26245 + 15.6487i −0.143090 + 0.989710i
\(251\) −9.58072 9.58072i −0.604730 0.604730i 0.336834 0.941564i \(-0.390644\pi\)
−0.941564 + 0.336834i \(0.890644\pi\)
\(252\) 4.12111 6.66776i 0.259606 0.420030i
\(253\) 5.08011 + 5.08011i 0.319384 + 0.319384i
\(254\) −6.21687 + 21.8834i −0.390081 + 1.37308i
\(255\) −6.16807 + 1.95002i −0.386260 + 0.122115i
\(256\) −9.60115 + 12.7991i −0.600072 + 0.799946i
\(257\) 13.2730i 0.827946i −0.910289 0.413973i \(-0.864141\pi\)
0.910289 0.413973i \(-0.135859\pi\)
\(258\) 4.30813 + 1.22390i 0.268212 + 0.0761967i
\(259\) −25.1430 + 25.1430i −1.56231 + 1.56231i
\(260\) −1.13496 + 4.49370i −0.0703869 + 0.278687i
\(261\) −4.99003 4.99003i −0.308875 0.308875i
\(262\) −22.7802 + 12.7005i −1.40737 + 0.784637i
\(263\) 13.0606 0.805349 0.402675 0.915343i \(-0.368081\pi\)
0.402675 + 0.915343i \(0.368081\pi\)
\(264\) −8.66417 + 7.91754i −0.533243 + 0.487291i
\(265\) −16.7573 + 5.29780i −1.02940 + 0.325441i
\(266\) 11.4701 6.39481i 0.703274 0.392091i
\(267\) −3.82471 + 3.82471i −0.234069 + 0.234069i
\(268\) −2.50322 10.6049i −0.152908 0.647796i
\(269\) −12.4067 + 12.4067i −0.756451 + 0.756451i −0.975675 0.219224i \(-0.929647\pi\)
0.219224 + 0.975675i \(0.429647\pi\)
\(270\) −3.16091 + 0.0929773i −0.192367 + 0.00565842i
\(271\) 2.11193 0.128291 0.0641453 0.997941i \(-0.479568\pi\)
0.0641453 + 0.997941i \(0.479568\pi\)
\(272\) 10.3506 5.17472i 0.627597 0.313763i
\(273\) 4.06183i 0.245833i
\(274\) 8.86444 + 2.51831i 0.535520 + 0.152137i
\(275\) 3.57132 20.4385i 0.215359 1.23249i
\(276\) −0.795479 3.37004i −0.0478822 0.202853i
\(277\) −13.2116 + 13.2116i −0.793808 + 0.793808i −0.982111 0.188303i \(-0.939701\pi\)
0.188303 + 0.982111i \(0.439701\pi\)
\(278\) 14.7014 + 26.3692i 0.881732 + 1.58152i
\(279\) 10.8149i 0.647469i
\(280\) −6.40134 23.9468i −0.382553 1.43110i
\(281\) 3.78786i 0.225965i −0.993597 0.112982i \(-0.963960\pi\)
0.993597 0.112982i \(-0.0360404\pi\)
\(282\) 14.3842 8.01950i 0.856566 0.477554i
\(283\) −3.16274 + 3.16274i −0.188005 + 0.188005i −0.794833 0.606828i \(-0.792442\pi\)
0.606828 + 0.794833i \(0.292442\pi\)
\(284\) 1.21295 1.96250i 0.0719756 0.116453i
\(285\) −4.70118 2.44267i −0.278474 0.144691i
\(286\) 1.66205 5.85042i 0.0982792 0.345942i
\(287\) 0.0226343i 0.00133606i
\(288\) 5.55844 1.05059i 0.327534 0.0619066i
\(289\) 8.63046 0.507674
\(290\) −22.3064 + 0.656137i −1.30988 + 0.0385297i
\(291\) −1.58501 + 1.58501i −0.0929147 + 0.0929147i
\(292\) −13.5883 8.39847i −0.795197 0.491483i
\(293\) 8.51339 8.51339i 0.497357 0.497357i −0.413257 0.910614i \(-0.635609\pi\)
0.910614 + 0.413257i \(0.135609\pi\)
\(294\) −5.75764 10.3272i −0.335792 0.602294i
\(295\) −3.65368 11.5569i −0.212726 0.672868i
\(296\) −25.6350 1.15428i −1.49000 0.0670909i
\(297\) 4.14963 0.240786
\(298\) −4.16251 7.46609i −0.241128 0.432499i
\(299\) 1.26876 + 1.26876i 0.0733745 + 0.0733745i
\(300\) −6.64321 + 7.47447i −0.383546 + 0.431539i
\(301\) 8.77642 8.77642i 0.505864 0.505864i
\(302\) −3.24636 + 11.4272i −0.186807 + 0.657560i
\(303\) 10.6159i 0.609866i
\(304\) 8.99071 + 2.99735i 0.515652 + 0.171910i
\(305\) −28.0591 + 8.87083i −1.60666 + 0.507942i
\(306\) −3.93561 1.11807i −0.224984 0.0639159i
\(307\) 7.12093 + 7.12093i 0.406413 + 0.406413i 0.880486 0.474073i \(-0.157217\pi\)
−0.474073 + 0.880486i \(0.657217\pi\)
\(308\) 7.47246 + 31.6570i 0.425783 + 1.80383i
\(309\) 2.76557 + 2.76557i 0.157328 + 0.157328i
\(310\) −24.8833 23.4613i −1.41328 1.33251i
\(311\) 21.2980i 1.20770i −0.797099 0.603849i \(-0.793633\pi\)
0.797099 0.603849i \(-0.206367\pi\)
\(312\) −2.16389 + 1.97742i −0.122506 + 0.111949i
\(313\) 7.49789 0.423806 0.211903 0.977291i \(-0.432034\pi\)
0.211903 + 0.977291i \(0.432034\pi\)
\(314\) 5.54051 + 9.93774i 0.312669 + 0.560819i
\(315\) −4.04065 + 7.77666i −0.227665 + 0.438165i
\(316\) 1.43581 + 0.887425i 0.0807707 + 0.0499215i
\(317\) 2.35354 + 2.35354i 0.132188 + 0.132188i 0.770105 0.637917i \(-0.220204\pi\)
−0.637917 + 0.770105i \(0.720204\pi\)
\(318\) −10.6922 3.03756i −0.599589 0.170338i
\(319\) 29.2838 1.63958
\(320\) 9.64099 15.0682i 0.538948 0.842339i
\(321\) −3.68025 −0.205412
\(322\) −9.23091 2.62242i −0.514419 0.146142i
\(323\) −4.84680 4.84680i −0.269683 0.269683i
\(324\) −1.70128 1.05150i −0.0945154 0.0584167i
\(325\) 0.891943 5.10453i 0.0494761 0.283149i
\(326\) −5.49157 9.84997i −0.304150 0.545539i
\(327\) −2.92226 −0.161601
\(328\) −0.0120581 + 0.0110190i −0.000665797 + 0.000608423i
\(329\) 45.6403i 2.51623i
\(330\) 9.00202 9.54765i 0.495545 0.525581i
\(331\) 22.6845 + 22.6845i 1.24685 + 1.24685i 0.957102 + 0.289753i \(0.0935730\pi\)
0.289753 + 0.957102i \(0.406427\pi\)
\(332\) −3.37929 14.3163i −0.185463 0.785712i
\(333\) 6.41524 + 6.41524i 0.351553 + 0.351553i
\(334\) 8.78239 + 2.49500i 0.480551 + 0.136520i
\(335\) 3.67230 + 11.6158i 0.200639 + 0.634637i
\(336\) 4.95819 14.8724i 0.270492 0.811353i
\(337\) 8.90357i 0.485008i 0.970150 + 0.242504i \(0.0779688\pi\)
−0.970150 + 0.242504i \(0.922031\pi\)
\(338\) −4.60904 + 16.2238i −0.250699 + 0.882459i
\(339\) −5.75309 + 5.75309i −0.312465 + 0.312465i
\(340\) −11.1102 + 6.62973i −0.602538 + 0.359548i
\(341\) 31.7333 + 31.7333i 1.71845 + 1.71845i
\(342\) −1.63163 2.92658i −0.0882286 0.158251i
\(343\) −5.33279 −0.287944
\(344\) 8.94814 + 0.402911i 0.482451 + 0.0217235i
\(345\) 1.16699 + 3.69129i 0.0628287 + 0.198732i
\(346\) −7.14523 12.8160i −0.384130 0.688995i
\(347\) 8.87783 8.87783i 0.476587 0.476587i −0.427451 0.904038i \(-0.640588\pi\)
0.904038 + 0.427451i \(0.140588\pi\)
\(348\) −12.0059 7.42040i −0.643581 0.397775i
\(349\) −8.23040 + 8.23040i −0.440563 + 0.440563i −0.892201 0.451638i \(-0.850840\pi\)
0.451638 + 0.892201i \(0.350840\pi\)
\(350\) 9.12730 + 26.1673i 0.487875 + 1.39870i
\(351\) 1.03637 0.0553176
\(352\) −13.2271 + 19.3924i −0.705005 + 1.03362i
\(353\) 34.7125i 1.84756i −0.382922 0.923781i \(-0.625082\pi\)
0.382922 0.923781i \(-0.374918\pi\)
\(354\) 2.09489 7.37400i 0.111342 0.391924i
\(355\) −1.18927 + 2.28888i −0.0631200 + 0.121481i
\(356\) −5.68753 + 9.20215i −0.301438 + 0.487713i
\(357\) −8.01753 + 8.01753i −0.424333 + 0.424333i
\(358\) 1.82332 1.01654i 0.0963655 0.0537259i
\(359\) 2.81082i 0.148350i −0.997245 0.0741748i \(-0.976368\pi\)
0.997245 0.0741748i \(-0.0236323\pi\)
\(360\) −6.11002 + 1.63330i −0.322026 + 0.0860825i
\(361\) 13.3864i 0.704550i
\(362\) 11.7867 + 21.1412i 0.619494 + 1.11116i
\(363\) −4.39778 + 4.39778i −0.230824 + 0.230824i
\(364\) 1.86626 + 7.90639i 0.0978185 + 0.414407i
\(365\) 15.8482 + 8.23449i 0.829531 + 0.431013i
\(366\) −17.9034 5.08621i −0.935828 0.265860i
\(367\) 18.2835i 0.954392i −0.878797 0.477196i \(-0.841653\pi\)
0.878797 0.477196i \(-0.158347\pi\)
\(368\) −3.09681 6.19432i −0.161433 0.322901i
\(369\) 0.00577512 0.000300641
\(370\) 28.6774 0.843538i 1.49087 0.0438534i
\(371\) −21.7819 + 21.7819i −1.13086 + 1.13086i
\(372\) −4.96902 21.0512i −0.257632 1.09145i
\(373\) −23.4176 + 23.4176i −1.21252 + 1.21252i −0.242324 + 0.970195i \(0.577910\pi\)
−0.970195 + 0.242324i \(0.922090\pi\)
\(374\) 14.8287 8.26730i 0.766771 0.427492i
\(375\) 6.78560 8.88570i 0.350407 0.458856i
\(376\) 24.3143 22.2190i 1.25391 1.14586i
\(377\) 7.31366 0.376673
\(378\) −4.84113 + 2.69904i −0.249001 + 0.138823i
\(379\) −6.20944 6.20944i −0.318957 0.318957i 0.529409 0.848367i \(-0.322414\pi\)
−0.848367 + 0.529409i \(0.822414\pi\)
\(380\) −10.2732 2.59466i −0.527005 0.133103i
\(381\) 11.3746 11.3746i 0.582741 0.582741i
\(382\) 28.8773 + 8.20378i 1.47749 + 0.419742i
\(383\) 14.4005i 0.735832i 0.929859 + 0.367916i \(0.119929\pi\)
−0.929859 + 0.367916i \(0.880071\pi\)
\(384\) 10.3368 4.59888i 0.527500 0.234685i
\(385\) −10.9623 34.6747i −0.558692 1.76719i
\(386\) 7.45049 26.2257i 0.379220 1.33485i
\(387\) −2.23930 2.23930i −0.113830 0.113830i
\(388\) −2.35698 + 3.81348i −0.119657 + 0.193600i
\(389\) 15.4753 + 15.4753i 0.784630 + 0.784630i 0.980608 0.195978i \(-0.0627882\pi\)
−0.195978 + 0.980608i \(0.562788\pi\)
\(390\) 2.24827 2.38454i 0.113845 0.120746i
\(391\) 5.00875i 0.253304i
\(392\) −15.9522 17.4566i −0.805710 0.881689i
\(393\) 18.4423 0.930292
\(394\) −16.5663 + 9.23607i −0.834598 + 0.465307i
\(395\) −1.67460 0.870098i −0.0842581 0.0437794i
\(396\) 8.07728 1.90660i 0.405899 0.0958101i
\(397\) −15.0440 15.0440i −0.755036 0.755036i 0.220378 0.975414i \(-0.429271\pi\)
−0.975414 + 0.220378i \(0.929271\pi\)
\(398\) 3.34461 11.7730i 0.167650 0.590129i
\(399\) −9.28590 −0.464876
\(400\) −9.49684 + 17.6014i −0.474842 + 0.880071i
\(401\) 28.7953 1.43797 0.718985 0.695026i \(-0.244607\pi\)
0.718985 + 0.695026i \(0.244607\pi\)
\(402\) −2.10556 + 7.41157i −0.105016 + 0.369655i
\(403\) 7.92543 + 7.92543i 0.394794 + 0.394794i
\(404\) −4.87759 20.6639i −0.242669 1.02807i
\(405\) 1.98421 + 1.03097i 0.0985963 + 0.0512293i
\(406\) −34.1637 + 19.0470i −1.69551 + 0.945286i
\(407\) −37.6476 −1.86612
\(408\) −8.17440 0.368072i −0.404693 0.0182223i
\(409\) 23.3562i 1.15489i −0.816430 0.577444i \(-0.804050\pi\)
0.816430 0.577444i \(-0.195950\pi\)
\(410\) 0.0125283 0.0132877i 0.000618729 0.000656231i
\(411\) −4.60760 4.60760i −0.227276 0.227276i
\(412\) 6.65387 + 4.11252i 0.327813 + 0.202610i
\(413\) −15.0222 15.0222i −0.739192 0.739192i
\(414\) −0.669110 + 2.35527i −0.0328850 + 0.115755i
\(415\) 4.95752 + 15.6810i 0.243355 + 0.769751i
\(416\) −3.30348 + 4.84328i −0.161966 + 0.237461i
\(417\) 21.3479i 1.04541i
\(418\) 13.3749 + 3.79968i 0.654185 + 0.185848i
\(419\) −22.4332 + 22.4332i −1.09594 + 1.09594i −0.101055 + 0.994881i \(0.532222\pi\)
−0.994881 + 0.101055i \(0.967778\pi\)
\(420\) −4.29207 + 16.9939i −0.209432 + 0.829216i
\(421\) 14.7632 + 14.7632i 0.719513 + 0.719513i 0.968505 0.248993i \(-0.0800995\pi\)
−0.248993 + 0.968505i \(0.580100\pi\)
\(422\) 1.53015 0.853092i 0.0744865 0.0415279i
\(423\) −11.6451 −0.566205
\(424\) −22.2081 0.999973i −1.07852 0.0485630i
\(425\) 11.8363 8.31511i 0.574144 0.403342i
\(426\) −1.42488 + 0.794399i −0.0690354 + 0.0384888i
\(427\) −36.4725 + 36.4725i −1.76503 + 1.76503i
\(428\) −7.16364 + 1.69094i −0.346268 + 0.0817345i
\(429\) −3.04096 + 3.04096i −0.146819 + 0.146819i
\(430\) −10.0101 + 0.294445i −0.482731 + 0.0141994i
\(431\) 5.92220 0.285262 0.142631 0.989776i \(-0.454444\pi\)
0.142631 + 0.989776i \(0.454444\pi\)
\(432\) −3.79468 1.26508i −0.182571 0.0608662i
\(433\) 5.27026i 0.253272i −0.991949 0.126636i \(-0.959582\pi\)
0.991949 0.126636i \(-0.0404181\pi\)
\(434\) −57.6616 16.3811i −2.76784 0.786320i
\(435\) 14.0025 + 7.27551i 0.671369 + 0.348834i
\(436\) −5.68819 + 1.34267i −0.272415 + 0.0643020i
\(437\) −2.90057 + 2.90057i −0.138753 + 0.138753i
\(438\) 5.50040 + 9.86580i 0.262819 + 0.471406i
\(439\) 17.8427i 0.851587i −0.904820 0.425793i \(-0.859995\pi\)
0.904820 0.425793i \(-0.140005\pi\)
\(440\) 13.1357 22.7207i 0.626221 1.08317i
\(441\) 8.36066i 0.398127i
\(442\) 3.70348 2.06477i 0.176156 0.0982110i
\(443\) −5.89855 + 5.89855i −0.280248 + 0.280248i −0.833208 0.552960i \(-0.813498\pi\)
0.552960 + 0.833208i \(0.313498\pi\)
\(444\) 15.4349 + 9.53975i 0.732507 + 0.452737i
\(445\) 5.57648 10.7325i 0.264350 0.508771i
\(446\) 4.03380 14.1990i 0.191006 0.672341i
\(447\) 6.04438i 0.285889i
\(448\) 2.81788 31.2273i 0.133132 1.47535i
\(449\) 8.12803 0.383586 0.191793 0.981435i \(-0.438570\pi\)
0.191793 + 0.981435i \(0.438570\pi\)
\(450\) 6.67657 2.32883i 0.314736 0.109782i
\(451\) −0.0169455 + 0.0169455i −0.000797934 + 0.000797934i
\(452\) −8.55511 + 13.8418i −0.402399 + 0.651062i
\(453\) 5.93968 5.93968i 0.279071 0.279071i
\(454\) 13.3638 + 23.9700i 0.627193 + 1.12497i
\(455\) −2.73786 8.66005i −0.128353 0.405990i
\(456\) −4.52064 4.94694i −0.211698 0.231662i
\(457\) −6.35488 −0.297269 −0.148634 0.988892i \(-0.547488\pi\)
−0.148634 + 0.988892i \(0.547488\pi\)
\(458\) −8.21861 14.7413i −0.384030 0.688817i
\(459\) 2.04567 + 2.04567i 0.0954838 + 0.0954838i
\(460\) 3.96756 + 6.64893i 0.184989 + 0.310008i
\(461\) 2.13085 2.13085i 0.0992438 0.0992438i −0.655742 0.754985i \(-0.727644\pi\)
0.754985 + 0.655742i \(0.227644\pi\)
\(462\) 6.28540 22.1246i 0.292423 1.02933i
\(463\) 18.4540i 0.857630i 0.903392 + 0.428815i \(0.141069\pi\)
−0.903392 + 0.428815i \(0.858931\pi\)
\(464\) −26.7789 8.92763i −1.24318 0.414455i
\(465\) 7.28970 + 23.0579i 0.338052 + 1.06928i
\(466\) 38.9206 + 11.0570i 1.80296 + 0.512205i
\(467\) −5.63243 5.63243i −0.260638 0.260638i 0.564675 0.825313i \(-0.309001\pi\)
−0.825313 + 0.564675i \(0.809001\pi\)
\(468\) 2.01731 0.476175i 0.0932503 0.0220112i
\(469\) 15.0987 + 15.0987i 0.697193 + 0.697193i
\(470\) −25.2624 + 26.7936i −1.16527 + 1.23590i
\(471\) 8.04537i 0.370711i
\(472\) 0.689643 15.3161i 0.0317434 0.704979i
\(473\) 13.1412 0.604235
\(474\) −0.581200 1.04247i −0.0266954 0.0478822i
\(475\) 11.6697 + 2.03910i 0.535441 + 0.0935604i
\(476\) −11.9224 + 19.2899i −0.546464 + 0.884153i
\(477\) 5.55765 + 5.55765i 0.254467 + 0.254467i
\(478\) −29.2379 8.30623i −1.33731 0.379918i
\(479\) 21.4860 0.981720 0.490860 0.871239i \(-0.336683\pi\)
0.490860 + 0.871239i \(0.336683\pi\)
\(480\) −11.1428 + 5.98655i −0.508595 + 0.273248i
\(481\) −9.40253 −0.428718
\(482\) 26.6558 + 7.57267i 1.21414 + 0.344926i
\(483\) 4.79810 + 4.79810i 0.218321 + 0.218321i
\(484\) −6.53971 + 10.5809i −0.297259 + 0.480952i
\(485\) 2.31096 4.44769i 0.104935 0.201959i
\(486\) 0.688658 + 1.23521i 0.0312382 + 0.0560304i
\(487\) 36.3297 1.64626 0.823128 0.567856i \(-0.192227\pi\)
0.823128 + 0.567856i \(0.192227\pi\)
\(488\) −37.1861 1.67439i −1.68334 0.0757962i
\(489\) 7.97431i 0.360611i
\(490\) 19.2366 + 18.1373i 0.869021 + 0.819358i
\(491\) 1.63599 + 1.63599i 0.0738313 + 0.0738313i 0.743058 0.669227i \(-0.233375\pi\)
−0.669227 + 0.743058i \(0.733375\pi\)
\(492\) 0.0112413 0.00265345i 0.000506798 0.000119627i
\(493\) 14.4362 + 14.4362i 0.650175 + 0.650175i
\(494\) 3.34039 + 0.948974i 0.150291 + 0.0426964i
\(495\) −8.84724 + 2.79703i −0.397654 + 0.125717i
\(496\) −19.3445 38.6933i −0.868592 1.73738i
\(497\) 4.52106i 0.202797i
\(498\) −2.84246 + 10.0055i −0.127374 + 0.448355i
\(499\) 18.7955 18.7955i 0.841402 0.841402i −0.147639 0.989041i \(-0.547167\pi\)
0.989041 + 0.147639i \(0.0471674\pi\)
\(500\) 9.12558 20.4138i 0.408108 0.912933i
\(501\) −4.56496 4.56496i −0.203947 0.203947i
\(502\) 9.33076 + 16.7361i 0.416452 + 0.746970i
\(503\) 13.8118 0.615838 0.307919 0.951413i \(-0.400367\pi\)
0.307919 + 0.951413i \(0.400367\pi\)
\(504\) −8.18319 + 7.47801i −0.364508 + 0.333097i
\(505\) 7.15557 + 22.6336i 0.318419 + 1.00718i
\(506\) −4.94757 8.87421i −0.219946 0.394507i
\(507\) 8.43290 8.43290i 0.374518 0.374518i
\(508\) 16.9146 27.3671i 0.750465 1.21422i
\(509\) −5.40184 + 5.40184i −0.239432 + 0.239432i −0.816615 0.577183i \(-0.804152\pi\)
0.577183 + 0.816615i \(0.304152\pi\)
\(510\) 9.14456 0.268985i 0.404928 0.0119108i
\(511\) 31.3037 1.38479
\(512\) 18.0077 13.7011i 0.795837 0.605510i
\(513\) 2.36929i 0.104607i
\(514\) −5.12964 + 18.0563i −0.226259 + 0.796431i
\(515\) −7.76046 4.03223i −0.341967 0.177681i
\(516\) −5.38769 3.32994i −0.237180 0.146593i
\(517\) 34.1694 34.1694i 1.50277 1.50277i
\(518\) 43.9212 24.4870i 1.92979 1.07590i
\(519\) 10.3756i 0.455437i
\(520\) 3.28066 5.67452i 0.143867 0.248844i
\(521\) 33.6969i 1.47629i 0.674642 + 0.738145i \(0.264298\pi\)
−0.674642 + 0.738145i \(0.735702\pi\)
\(522\) 4.85983 + 8.71685i 0.212709 + 0.381526i
\(523\) −4.31481 + 4.31481i −0.188673 + 0.188673i −0.795122 0.606449i \(-0.792593\pi\)
0.606449 + 0.795122i \(0.292593\pi\)
\(524\) 35.8981 8.47355i 1.56822 0.370169i
\(525\) 3.37307 19.3039i 0.147213 0.842489i
\(526\) −17.7674 5.04755i −0.774694 0.220084i
\(527\) 31.2876i 1.36291i
\(528\) 14.8465 7.42241i 0.646111 0.323019i
\(529\) −20.0025 −0.869674
\(530\) 24.8438 0.730774i 1.07915 0.0317428i
\(531\) −3.83290 + 3.83290i −0.166334 + 0.166334i
\(532\) −18.0751 + 4.26652i −0.783654 + 0.184977i
\(533\) −0.00423217 + 0.00423217i −0.000183316 + 0.000183316i
\(534\) 6.68122 3.72493i 0.289125 0.161193i
\(535\) 7.84650 2.48065i 0.339234 0.107248i
\(536\) −0.693156 + 15.3941i −0.0299398 + 0.664924i
\(537\) −1.47612 −0.0636993
\(538\) 21.6727 12.0830i 0.934377 0.520936i
\(539\) −24.5321 24.5321i −1.05667 1.05667i
\(540\) 4.33598 + 1.09512i 0.186591 + 0.0471265i
\(541\) −22.8010 + 22.8010i −0.980290 + 0.980290i −0.999809 0.0195198i \(-0.993786\pi\)
0.0195198 + 0.999809i \(0.493786\pi\)
\(542\) −2.87303 0.816203i −0.123407 0.0350589i
\(543\) 17.1154i 0.734493i
\(544\) −16.0807 + 3.03937i −0.689452 + 0.130312i
\(545\) 6.23041 1.96973i 0.266882 0.0843740i
\(546\) 1.56979 5.52564i 0.0671806 0.236476i
\(547\) −5.56014 5.56014i −0.237735 0.237735i 0.578177 0.815911i \(-0.303764\pi\)
−0.815911 + 0.578177i \(0.803764\pi\)
\(548\) −11.0858 6.85172i −0.473560 0.292691i
\(549\) 9.30595 + 9.30595i 0.397168 + 0.397168i
\(550\) −12.7573 + 26.4239i −0.543972 + 1.12672i
\(551\) 16.7200i 0.712297i
\(552\) −0.220273 + 4.89197i −0.00937543 + 0.208216i
\(553\) −3.30771 −0.140658
\(554\) 23.0787 12.8669i 0.980521 0.546662i
\(555\) −18.0018 9.35349i −0.764134 0.397034i
\(556\) −9.80856 41.5539i −0.415976 1.76228i
\(557\) 12.2628 + 12.2628i 0.519591 + 0.519591i 0.917447 0.397857i \(-0.130246\pi\)
−0.397857 + 0.917447i \(0.630246\pi\)
\(558\) −4.17964 + 14.7123i −0.176938 + 0.622823i
\(559\) 3.28204 0.138816
\(560\) −0.546512 + 35.0507i −0.0230943 + 1.48116i
\(561\) −12.0049 −0.506849
\(562\) −1.46390 + 5.15294i −0.0617510 + 0.217363i
\(563\) 0.327630 + 0.327630i 0.0138079 + 0.0138079i 0.713977 0.700169i \(-0.246892\pi\)
−0.700169 + 0.713977i \(0.746892\pi\)
\(564\) −22.6673 + 5.35049i −0.954465 + 0.225296i
\(565\) 8.38807 16.1438i 0.352889 0.679173i
\(566\) 5.52484 3.08022i 0.232226 0.129471i
\(567\) 3.91927 0.164594
\(568\) −2.40853 + 2.20098i −0.101060 + 0.0923511i
\(569\) 35.6010i 1.49247i −0.665681 0.746237i \(-0.731859\pi\)
0.665681 0.746237i \(-0.268141\pi\)
\(570\) 5.45138 + 5.13984i 0.228333 + 0.215284i
\(571\) 3.57427 + 3.57427i 0.149579 + 0.149579i 0.777930 0.628351i \(-0.216270\pi\)
−0.628351 + 0.777930i \(0.716270\pi\)
\(572\) −4.52205 + 7.31646i −0.189076 + 0.305917i
\(573\) −15.0100 15.0100i −0.627051 0.627051i
\(574\) 0.00874752 0.0307912i 0.000365114 0.00128520i
\(575\) −4.97618 7.08342i −0.207521 0.295399i
\(576\) −7.96763 0.718981i −0.331984 0.0299575i
\(577\) 8.80260i 0.366457i 0.983070 + 0.183229i \(0.0586548\pi\)
−0.983070 + 0.183229i \(0.941345\pi\)
\(578\) −11.7407 3.33543i −0.488350 0.138736i
\(579\) −13.6317 + 13.6317i −0.566515 + 0.566515i
\(580\) 30.5988 + 7.72822i 1.27055 + 0.320897i
\(581\) 20.3829 + 20.3829i 0.845625 + 0.845625i
\(582\) 2.76877 1.54365i 0.114769 0.0639864i
\(583\) −32.6149 −1.35077
\(584\) 15.2395 + 16.6766i 0.630616 + 0.690084i
\(585\) −2.20961 + 0.698563i −0.0913561 + 0.0288820i
\(586\) −14.8716 + 8.29127i −0.614342 + 0.342509i
\(587\) 17.9887 17.9887i 0.742475 0.742475i −0.230579 0.973054i \(-0.574062\pi\)
0.973054 + 0.230579i \(0.0740619\pi\)
\(588\) 3.84141 + 16.2741i 0.158417 + 0.671132i
\(589\) −18.1186 + 18.1186i −0.746564 + 0.746564i
\(590\) 0.503987 + 17.1338i 0.0207488 + 0.705389i
\(591\) 13.4117 0.551684
\(592\) 34.4273 + 11.4775i 1.41495 + 0.471721i
\(593\) 25.4791i 1.04630i 0.852240 + 0.523150i \(0.175243\pi\)
−0.852240 + 0.523150i \(0.824757\pi\)
\(594\) −5.64508 1.60372i −0.231620 0.0658013i
\(595\) 11.6897 22.4980i 0.479229 0.922328i
\(596\) 2.77716 + 11.7654i 0.113757 + 0.481931i
\(597\) −6.11945 + 6.11945i −0.250452 + 0.250452i
\(598\) −1.23566 2.21635i −0.0505299 0.0906331i
\(599\) 14.6977i 0.600532i −0.953856 0.300266i \(-0.902925\pi\)
0.953856 0.300266i \(-0.0970754\pi\)
\(600\) 11.9260 7.60071i 0.486876 0.310298i
\(601\) 12.2790i 0.500869i −0.968134 0.250434i \(-0.919427\pi\)
0.968134 0.250434i \(-0.0805735\pi\)
\(602\) −15.3311 + 8.54744i −0.624850 + 0.348368i
\(603\) 3.85243 3.85243i 0.156883 0.156883i
\(604\) 8.83258 14.2907i 0.359393 0.581480i
\(605\) 6.41202 12.3406i 0.260686 0.501718i
\(606\) −4.10274 + 14.4416i −0.166662 + 0.586651i
\(607\) 26.2195i 1.06421i 0.846677 + 0.532107i \(0.178600\pi\)
−0.846677 + 0.532107i \(0.821400\pi\)
\(608\) −11.0724 7.55220i −0.449045 0.306282i
\(609\) 27.6581 1.12076
\(610\) 41.5995 1.22364i 1.68431 0.0495436i
\(611\) 8.53386 8.53386i 0.345243 0.345243i
\(612\) 4.92182 + 3.04201i 0.198953 + 0.122966i
\(613\) 23.4055 23.4055i 0.945340 0.945340i −0.0532416 0.998582i \(-0.516955\pi\)
0.998582 + 0.0532416i \(0.0169553\pi\)
\(614\) −6.93514 12.4392i −0.279880 0.502007i
\(615\) −0.0123129 + 0.00389269i −0.000496503 + 0.000156968i
\(616\) 2.06917 45.9536i 0.0833692 1.85152i
\(617\) −27.5735 −1.11007 −0.555033 0.831828i \(-0.687294\pi\)
−0.555033 + 0.831828i \(0.687294\pi\)
\(618\) −2.69341 4.83104i −0.108345 0.194333i
\(619\) −12.2452 12.2452i −0.492176 0.492176i 0.416815 0.908991i \(-0.363146\pi\)
−0.908991 + 0.416815i \(0.863146\pi\)
\(620\) 24.7837 + 41.5330i 0.995337 + 1.66801i
\(621\) 1.22423 1.22423i 0.0491268 0.0491268i
\(622\) −8.23108 + 28.9734i −0.330036 + 1.16173i
\(623\) 21.1992i 0.849327i
\(624\) 3.70793 1.85376i 0.148436 0.0742097i
\(625\) −8.47792 + 23.5186i −0.339117 + 0.940744i
\(626\) −10.2000 2.89773i −0.407673 0.115816i
\(627\) −6.95205 6.95205i −0.277638 0.277638i
\(628\) −3.69654 15.6604i −0.147508 0.624917i
\(629\) −18.5594 18.5594i −0.740011 0.740011i
\(630\) 8.50229 9.01763i 0.338739 0.359271i
\(631\) 25.5846i 1.01851i 0.860617 + 0.509253i \(0.170078\pi\)
−0.860617 + 0.509253i \(0.829922\pi\)
\(632\) −1.61029 1.76214i −0.0640537 0.0700941i
\(633\) −1.23877 −0.0492369
\(634\) −2.29214 4.11130i −0.0910324 0.163281i
\(635\) −16.5844 + 31.9184i −0.658131 + 1.26664i
\(636\) 13.3716 + 8.26449i 0.530216 + 0.327708i
\(637\) −6.12692 6.12692i −0.242758 0.242758i
\(638\) −39.8371 11.3174i −1.57717 0.448059i
\(639\) 1.15355 0.0456336
\(640\) −18.9389 + 16.7726i −0.748625 + 0.662994i
\(641\) −3.52020 −0.139040 −0.0695198 0.997581i \(-0.522147\pi\)
−0.0695198 + 0.997581i \(0.522147\pi\)
\(642\) 5.00655 + 1.42232i 0.197593 + 0.0561343i
\(643\) −19.0869 19.0869i −0.752715 0.752715i 0.222270 0.974985i \(-0.428653\pi\)
−0.974985 + 0.222270i \(0.928653\pi\)
\(644\) 11.5441 + 7.13499i 0.454900 + 0.281158i
\(645\) 6.28370 + 3.26493i 0.247421 + 0.128556i
\(646\) 4.72034 + 8.46665i 0.185719 + 0.333116i
\(647\) 5.02456 0.197536 0.0987678 0.995111i \(-0.468510\pi\)
0.0987678 + 0.995111i \(0.468510\pi\)
\(648\) 1.90801 + 2.08794i 0.0749538 + 0.0820220i
\(649\) 22.4932i 0.882935i
\(650\) −3.18614 + 6.59940i −0.124971 + 0.258850i
\(651\) 29.9717 + 29.9717i 1.17468 + 1.17468i
\(652\) 3.66389 + 15.5221i 0.143489 + 0.607891i
\(653\) −6.07220 6.07220i −0.237623 0.237623i 0.578242 0.815865i \(-0.303739\pi\)
−0.815865 + 0.578242i \(0.803739\pi\)
\(654\) 3.97538 + 1.12937i 0.155450 + 0.0441619i
\(655\) −39.3201 + 12.4310i −1.53636 + 0.485718i
\(656\) 0.0206622 0.0103299i 0.000806722 0.000403316i
\(657\) 7.98713i 0.311608i
\(658\) −17.6387 + 62.0882i −0.687629 + 2.42045i
\(659\) −5.88182 + 5.88182i −0.229123 + 0.229123i −0.812326 0.583203i \(-0.801799\pi\)
0.583203 + 0.812326i \(0.301799\pi\)
\(660\) −15.9361 + 9.50942i −0.620312 + 0.370154i
\(661\) −24.0275 24.0275i −0.934562 0.934562i 0.0634242 0.997987i \(-0.479798\pi\)
−0.997987 + 0.0634242i \(0.979798\pi\)
\(662\) −22.0927 39.6266i −0.858656 1.54013i
\(663\) −2.99825 −0.116442
\(664\) −0.935746 + 20.7817i −0.0363140 + 0.806486i
\(665\) 19.7981 6.25911i 0.767736 0.242718i
\(666\) −6.24786 11.2065i −0.242100 0.434243i
\(667\) 8.63936 8.63936i 0.334517 0.334517i
\(668\) −10.9832 6.78831i −0.424951 0.262647i
\(669\) −7.38042 + 7.38042i −0.285344 + 0.285344i
\(670\) −0.506554 17.2211i −0.0195699 0.665310i
\(671\) −54.6116 −2.10826
\(672\) −12.4928 + 18.3159i −0.481920 + 0.706550i
\(673\) 36.5327i 1.40823i −0.710084 0.704117i \(-0.751343\pi\)
0.710084 0.704117i \(-0.248657\pi\)
\(674\) 3.44098 12.1123i 0.132542 0.466546i
\(675\) −4.92537 0.860637i −0.189578 0.0331259i
\(676\) 12.5401 20.2893i 0.482312 0.780358i
\(677\) 20.5460 20.5460i 0.789645 0.789645i −0.191791 0.981436i \(-0.561429\pi\)
0.981436 + 0.191791i \(0.0614294\pi\)
\(678\) 10.0498 5.60299i 0.385961 0.215182i
\(679\) 8.78518i 0.337144i
\(680\) 17.6764 4.72516i 0.677858 0.181202i
\(681\) 19.4055i 0.743622i
\(682\) −30.9053 55.4334i −1.18343 2.12265i
\(683\) −18.2074 + 18.2074i −0.696688 + 0.696688i −0.963695 0.267007i \(-0.913965\pi\)
0.267007 + 0.963695i \(0.413965\pi\)
\(684\) 1.08860 + 4.61185i 0.0416237 + 0.176339i
\(685\) 12.9294 + 6.71794i 0.494007 + 0.256679i
\(686\) 7.25464 + 2.06098i 0.276983 + 0.0786885i
\(687\) 11.9342i 0.455320i
\(688\) −12.0172 4.00632i −0.458150 0.152740i
\(689\) −8.14561 −0.310323
\(690\) −0.160974 5.47257i −0.00612818 0.208337i
\(691\) 11.5350 11.5350i 0.438811 0.438811i −0.452801 0.891612i \(-0.649575\pi\)
0.891612 + 0.452801i \(0.149575\pi\)
\(692\) 4.76719 + 20.1962i 0.181221 + 0.767743i
\(693\) −11.5000 + 11.5000i −0.436850 + 0.436850i
\(694\) −15.5083 + 8.64620i −0.588686 + 0.328205i
\(695\) 14.3894 + 45.5149i 0.545823 + 1.72648i
\(696\) 13.4648 + 14.7345i 0.510381 + 0.558510i
\(697\) −0.0167075 −0.000632842
\(698\) 14.3773 8.01567i 0.544189 0.303397i
\(699\) −20.2304 20.2304i −0.765182 0.765182i
\(700\) −2.30369 39.1249i −0.0870713 1.47878i
\(701\) 16.5440 16.5440i 0.624859 0.624859i −0.321911 0.946770i \(-0.604325\pi\)
0.946770 + 0.321911i \(0.104325\pi\)
\(702\) −1.40987 0.400530i −0.0532120 0.0151170i
\(703\) 21.4955i 0.810717i
\(704\) 25.4885 21.2692i 0.960634 0.801613i
\(705\) 24.8280 7.84932i 0.935078 0.295623i
\(706\) −13.4154 + 47.2223i −0.504897 + 1.77723i
\(707\) 29.4202 + 29.4202i 1.10646 + 1.10646i
\(708\) −5.69970 + 9.22184i −0.214208 + 0.346578i
\(709\) −8.47518 8.47518i −0.318292 0.318292i 0.529819 0.848111i \(-0.322260\pi\)
−0.848111 + 0.529819i \(0.822260\pi\)
\(710\) 2.50245 2.65413i 0.0939154 0.0996078i
\(711\) 0.843960i 0.0316510i
\(712\) 11.2936 10.3204i 0.423245 0.386772i
\(713\) 18.7240 0.701221
\(714\) 14.0055 7.80835i 0.524141 0.292220i
\(715\) 4.43376 8.53325i 0.165813 0.319125i
\(716\) −2.87328 + 0.678221i −0.107379 + 0.0253463i
\(717\) 15.1974 + 15.1974i 0.567559 + 0.567559i
\(718\) −1.08631 + 3.82380i −0.0405406 + 0.142703i
\(719\) −11.5303 −0.430008 −0.215004 0.976613i \(-0.568976\pi\)
−0.215004 + 0.976613i \(0.568976\pi\)
\(720\) 8.94318 + 0.139442i 0.333293 + 0.00519671i
\(721\) −15.3287 −0.570869
\(722\) 5.17349 18.2107i 0.192537 0.677731i
\(723\) −13.8553 13.8553i −0.515284 0.515284i
\(724\) −7.86389 33.3153i −0.292259 1.23815i
\(725\) −34.7582 6.07348i −1.29089 0.225564i
\(726\) 7.68229 4.28304i 0.285116 0.158959i
\(727\) 32.2855 1.19740 0.598702 0.800972i \(-0.295684\pi\)
0.598702 + 0.800972i \(0.295684\pi\)
\(728\) 0.516778 11.4770i 0.0191531 0.425365i
\(729\) 1.00000i 0.0370370i
\(730\) −18.3772 17.3269i −0.680169 0.641298i
\(731\) 6.47833 + 6.47833i 0.239610 + 0.239610i
\(732\) 22.3898 + 13.8384i 0.827552 + 0.511481i
\(733\) −33.6309 33.6309i −1.24219 1.24219i −0.959092 0.283094i \(-0.908639\pi\)
−0.283094 0.959092i \(-0.591361\pi\)
\(734\) −7.06607 + 24.8726i −0.260814 + 0.918063i
\(735\) −5.63546 17.8254i −0.207867 0.657500i
\(736\) 1.81891 + 9.62347i 0.0670461 + 0.354726i
\(737\) 22.6078i 0.832769i
\(738\) −0.00785637 0.00223193i −0.000289197 8.21583e-5i
\(739\) −11.6806 + 11.6806i −0.429676 + 0.429676i −0.888518 0.458842i \(-0.848264\pi\)
0.458842 + 0.888518i \(0.348264\pi\)
\(740\) −39.3382 9.93550i −1.44610 0.365236i
\(741\) −1.73628 1.73628i −0.0637840 0.0637840i
\(742\) 38.0499 21.2136i 1.39685 0.778777i
\(743\) −11.7641 −0.431582 −0.215791 0.976440i \(-0.569233\pi\)
−0.215791 + 0.976440i \(0.569233\pi\)
\(744\) −1.37595 + 30.5581i −0.0504448 + 1.12031i
\(745\) −4.07418 12.8870i −0.149266 0.472142i
\(746\) 40.9072 22.8067i 1.49772 0.835011i
\(747\) 5.20069 5.20069i 0.190283 0.190283i
\(748\) −23.3677 + 5.51582i −0.854408 + 0.201678i
\(749\) 10.1992 10.1992i 0.372672 0.372672i
\(750\) −12.6651 + 9.46550i −0.462463 + 0.345631i
\(751\) 9.89062 0.360914 0.180457 0.983583i \(-0.442242\pi\)
0.180457 + 0.983583i \(0.442242\pi\)
\(752\) −41.6637 + 20.8295i −1.51932 + 0.759575i
\(753\) 13.5492i 0.493760i
\(754\) −9.94937 2.82653i −0.362335 0.102936i
\(755\) −8.66012 + 16.6673i −0.315174 + 0.606587i
\(756\) 7.62889 1.80076i 0.277460 0.0654928i
\(757\) −19.7078 + 19.7078i −0.716291 + 0.716291i −0.967844 0.251553i \(-0.919059\pi\)
0.251553 + 0.967844i \(0.419059\pi\)
\(758\) 6.04743 + 10.8470i 0.219653 + 0.393980i
\(759\) 7.18436i 0.260776i
\(760\) 12.9727 + 7.50004i 0.470570 + 0.272055i
\(761\) 48.2102i 1.74762i 0.486270 + 0.873808i \(0.338357\pi\)
−0.486270 + 0.873808i \(0.661643\pi\)
\(762\) −19.8699 + 11.0779i −0.719809 + 0.401309i
\(763\) 8.09857 8.09857i 0.293188 0.293188i
\(764\) −36.1136 22.3205i −1.30654 0.807529i
\(765\) −5.74036 2.98261i −0.207543 0.107837i
\(766\) 5.56540 19.5902i 0.201086 0.707823i
\(767\) 5.61771i 0.202844i
\(768\) −15.8394 + 2.26132i −0.571555 + 0.0815984i
\(769\) −30.7814 −1.11000 −0.555002 0.831849i \(-0.687283\pi\)
−0.555002 + 0.831849i \(0.687283\pi\)
\(770\) 1.51214 + 51.4075i 0.0544936 + 1.85260i
\(771\) 9.38542 9.38542i 0.338008 0.338008i
\(772\) −20.2710 + 32.7975i −0.729570 + 1.18041i
\(773\) −31.7802 + 31.7802i −1.14306 + 1.14306i −0.155167 + 0.987888i \(0.549592\pi\)
−0.987888 + 0.155167i \(0.950408\pi\)
\(774\) 2.18088 + 3.91173i 0.0783900 + 0.140604i
\(775\) −31.0841