Properties

Label 390.2.bd.b.37.1
Level $390$
Weight $2$
Character 390.37
Analytic conductor $3.114$
Analytic rank $0$
Dimension $16$
CM no
Inner twists $2$

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Newspace parameters

Level: \( N \) \(=\) \( 390 = 2 \cdot 3 \cdot 5 \cdot 13 \)
Weight: \( k \) \(=\) \( 2 \)
Character orbit: \([\chi]\) \(=\) 390.bd (of order \(12\), degree \(4\), minimal)

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(16\)
Relative dimension: \(4\) over \(\Q(\zeta_{12})\)
Coefficient field: \(\mathbb{Q}[x]/(x^{16} - \cdots)\)
Defining polynomial: \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} - 180 x^{7} + 358 x^{6} - 336 x^{5} + 390 x^{4} - 344 x^{3} + 164 x^{2} - 40 x + 4 \) Copy content Toggle raw display
Coefficient ring: \(\Z[a_1, \ldots, a_{7}]\)
Coefficient ring index: \( 1 \)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 37.1
Root \(0.117630 - 0.893490i\) of defining polynomial
Character \(\chi\) \(=\) 390.37
Dual form 390.2.bd.b.253.1

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.866025 + 0.500000i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.13554 + 0.662933i) q^{5} +(0.965926 - 0.258819i) q^{6} +(0.648516 - 1.12326i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +O(q^{10})\) \(q+(-0.866025 + 0.500000i) q^{2} +(-0.965926 - 0.258819i) q^{3} +(0.500000 - 0.866025i) q^{4} +(-2.13554 + 0.662933i) q^{5} +(0.965926 - 0.258819i) q^{6} +(0.648516 - 1.12326i) q^{7} +1.00000i q^{8} +(0.866025 + 0.500000i) q^{9} +(1.51796 - 1.64189i) q^{10} +(2.28334 + 0.611818i) q^{11} +(-0.707107 + 0.707107i) q^{12} +(-1.97399 - 3.01718i) q^{13} +1.29703i q^{14} +(2.23435 - 0.0876265i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(1.79723 + 6.70736i) q^{17} -1.00000 q^{18} +(1.22132 + 4.55804i) q^{19} +(-0.493652 + 2.18090i) q^{20} +(-0.917141 + 0.917141i) q^{21} +(-2.28334 + 0.611818i) q^{22} +(-1.31661 + 4.91367i) q^{23} +(0.258819 - 0.965926i) q^{24} +(4.12104 - 2.83144i) q^{25} +(3.21811 + 1.62596i) q^{26} +(-0.707107 - 0.707107i) q^{27} +(-0.648516 - 1.12326i) q^{28} +(5.49047 - 3.16993i) q^{29} +(-1.89119 + 1.19306i) q^{30} +(6.24653 + 6.24653i) q^{31} +(0.866025 + 0.500000i) q^{32} +(-2.04718 - 1.18194i) q^{33} +(-4.91013 - 4.91013i) q^{34} +(-0.640282 + 2.82869i) q^{35} +(0.866025 - 0.500000i) q^{36} +(1.61817 + 2.80275i) q^{37} +(-3.33672 - 3.33672i) q^{38} +(1.12582 + 3.42528i) q^{39} +(-0.662933 - 2.13554i) q^{40} +(-2.19059 + 8.17538i) q^{41} +(0.335697 - 1.25284i) q^{42} +(-0.778549 + 0.208612i) q^{43} +(1.67152 - 1.67152i) q^{44} +(-2.18090 - 0.493652i) q^{45} +(-1.31661 - 4.91367i) q^{46} -11.6095 q^{47} +(0.258819 + 0.965926i) q^{48} +(2.65885 + 4.60527i) q^{49} +(-2.15321 + 4.51262i) q^{50} -6.94397i q^{51} +(-3.59995 + 0.200935i) q^{52} +(8.79736 - 8.79736i) q^{53} +(0.965926 + 0.258819i) q^{54} +(-5.28174 + 0.207139i) q^{55} +(1.12326 + 0.648516i) q^{56} -4.71883i q^{57} +(-3.16993 + 5.49047i) q^{58} +(5.81956 - 1.55935i) q^{59} +(1.04129 - 1.97882i) q^{60} +(2.10240 - 3.64147i) q^{61} +(-8.53291 - 2.28639i) q^{62} +(1.12326 - 0.648516i) q^{63} -1.00000 q^{64} +(6.21572 + 5.13467i) q^{65} +2.36388 q^{66} +(0.573907 - 0.331346i) q^{67} +(6.70736 + 1.79723i) q^{68} +(2.54350 - 4.40547i) q^{69} +(-0.859846 - 2.76986i) q^{70} +(-12.2489 + 3.28208i) q^{71} +(-0.500000 + 0.866025i) q^{72} +5.04229i q^{73} +(-2.80275 - 1.61817i) q^{74} +(-4.71345 + 1.66835i) q^{75} +(4.55804 + 1.22132i) q^{76} +(2.16801 - 2.16801i) q^{77} +(-2.68763 - 2.40346i) q^{78} -13.2885i q^{79} +(1.64189 + 1.51796i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-2.19059 - 8.17538i) q^{82} -2.04522 q^{83} +(0.335697 + 1.25284i) q^{84} +(-8.28459 - 13.1324i) q^{85} +(0.569937 - 0.569937i) q^{86} +(-6.12383 + 1.64087i) q^{87} +(-0.611818 + 2.28334i) q^{88} +(1.16115 - 4.33348i) q^{89} +(2.13554 - 0.662933i) q^{90} +(-4.66925 + 0.260620i) q^{91} +(3.59705 + 3.59705i) q^{92} +(-4.41696 - 7.65040i) q^{93} +(10.0541 - 5.80474i) q^{94} +(-5.62986 - 8.92421i) q^{95} +(-0.707107 - 0.707107i) q^{96} +(5.19551 + 2.99963i) q^{97} +(-4.60527 - 2.65885i) q^{98} +(1.67152 + 1.67152i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{4} + 4 q^{5} + 4 q^{7} + 12 q^{11} - 8 q^{13} + 12 q^{15} - 8 q^{16} + 16 q^{17} - 16 q^{18} + 4 q^{19} - 4 q^{20} - 12 q^{22} - 4 q^{23} - 4 q^{25} + 4 q^{26} - 4 q^{28} + 48 q^{29} - 8 q^{30} + 16 q^{31} + 20 q^{34} + 12 q^{35} + 20 q^{37} - 4 q^{38} - 4 q^{39} - 12 q^{41} + 4 q^{43} + 12 q^{44} - 4 q^{46} - 64 q^{47} + 4 q^{49} + 16 q^{50} - 16 q^{52} + 32 q^{53} - 44 q^{55} - 24 q^{56} - 12 q^{58} - 4 q^{59} + 12 q^{60} + 4 q^{61} - 20 q^{62} - 24 q^{63} - 16 q^{64} - 8 q^{65} + 32 q^{66} - 36 q^{67} - 4 q^{68} - 4 q^{69} - 36 q^{71} - 8 q^{72} - 12 q^{74} + 8 q^{76} - 4 q^{77} - 12 q^{78} - 8 q^{80} + 8 q^{81} - 12 q^{82} + 24 q^{83} - 52 q^{85} + 16 q^{86} - 12 q^{87} + 24 q^{89} - 4 q^{90} - 8 q^{92} - 36 q^{94} - 44 q^{95} + 60 q^{97} + 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{1}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.866025 + 0.500000i −0.612372 + 0.353553i
\(3\) −0.965926 0.258819i −0.557678 0.149429i
\(4\) 0.500000 0.866025i 0.250000 0.433013i
\(5\) −2.13554 + 0.662933i −0.955041 + 0.296473i
\(6\) 0.965926 0.258819i 0.394338 0.105662i
\(7\) 0.648516 1.12326i 0.245116 0.424554i −0.717048 0.697024i \(-0.754507\pi\)
0.962164 + 0.272470i \(0.0878406\pi\)
\(8\) 1.00000i 0.353553i
\(9\) 0.866025 + 0.500000i 0.288675 + 0.166667i
\(10\) 1.51796 1.64189i 0.480022 0.519210i
\(11\) 2.28334 + 0.611818i 0.688451 + 0.184470i 0.586052 0.810273i \(-0.300681\pi\)
0.102399 + 0.994743i \(0.467348\pi\)
\(12\) −0.707107 + 0.707107i −0.204124 + 0.204124i
\(13\) −1.97399 3.01718i −0.547486 0.836815i
\(14\) 1.29703i 0.346647i
\(15\) 2.23435 0.0876265i 0.576907 0.0226251i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 1.79723 + 6.70736i 0.435893 + 1.62677i 0.738920 + 0.673793i \(0.235336\pi\)
−0.303027 + 0.952982i \(0.597997\pi\)
\(18\) −1.00000 −0.235702
\(19\) 1.22132 + 4.55804i 0.280191 + 1.04569i 0.952282 + 0.305218i \(0.0987295\pi\)
−0.672091 + 0.740468i \(0.734604\pi\)
\(20\) −0.493652 + 2.18090i −0.110384 + 0.487663i
\(21\) −0.917141 + 0.917141i −0.200137 + 0.200137i
\(22\) −2.28334 + 0.611818i −0.486809 + 0.130440i
\(23\) −1.31661 + 4.91367i −0.274533 + 1.02457i 0.681621 + 0.731705i \(0.261275\pi\)
−0.956154 + 0.292865i \(0.905391\pi\)
\(24\) 0.258819 0.965926i 0.0528312 0.197169i
\(25\) 4.12104 2.83144i 0.824208 0.566287i
\(26\) 3.21811 + 1.62596i 0.631124 + 0.318877i
\(27\) −0.707107 0.707107i −0.136083 0.136083i
\(28\) −0.648516 1.12326i −0.122558 0.212277i
\(29\) 5.49047 3.16993i 1.01956 0.588640i 0.105580 0.994411i \(-0.466330\pi\)
0.913975 + 0.405770i \(0.132997\pi\)
\(30\) −1.89119 + 1.19306i −0.345283 + 0.217822i
\(31\) 6.24653 + 6.24653i 1.12191 + 1.12191i 0.991454 + 0.130455i \(0.0416439\pi\)
0.130455 + 0.991454i \(0.458356\pi\)
\(32\) 0.866025 + 0.500000i 0.153093 + 0.0883883i
\(33\) −2.04718 1.18194i −0.356369 0.205750i
\(34\) −4.91013 4.91013i −0.842081 0.842081i
\(35\) −0.640282 + 2.82869i −0.108227 + 0.478137i
\(36\) 0.866025 0.500000i 0.144338 0.0833333i
\(37\) 1.61817 + 2.80275i 0.266025 + 0.460769i 0.967832 0.251599i \(-0.0809563\pi\)
−0.701807 + 0.712367i \(0.747623\pi\)
\(38\) −3.33672 3.33672i −0.541287 0.541287i
\(39\) 1.12582 + 3.42528i 0.180276 + 0.548483i
\(40\) −0.662933 2.13554i −0.104819 0.337658i
\(41\) −2.19059 + 8.17538i −0.342112 + 1.27678i 0.553838 + 0.832625i \(0.313163\pi\)
−0.895950 + 0.444155i \(0.853504\pi\)
\(42\) 0.335697 1.25284i 0.0517991 0.193317i
\(43\) −0.778549 + 0.208612i −0.118728 + 0.0318130i −0.317694 0.948193i \(-0.602908\pi\)
0.198966 + 0.980006i \(0.436242\pi\)
\(44\) 1.67152 1.67152i 0.251991 0.251991i
\(45\) −2.18090 0.493652i −0.325109 0.0735892i
\(46\) −1.31661 4.91367i −0.194124 0.724480i
\(47\) −11.6095 −1.69342 −0.846709 0.532056i \(-0.821419\pi\)
−0.846709 + 0.532056i \(0.821419\pi\)
\(48\) 0.258819 + 0.965926i 0.0373573 + 0.139419i
\(49\) 2.65885 + 4.60527i 0.379836 + 0.657895i
\(50\) −2.15321 + 4.51262i −0.304509 + 0.638180i
\(51\) 6.94397i 0.972351i
\(52\) −3.59995 + 0.200935i −0.499223 + 0.0278647i
\(53\) 8.79736 8.79736i 1.20841 1.20841i 0.236869 0.971542i \(-0.423879\pi\)
0.971542 0.236869i \(-0.0761211\pi\)
\(54\) 0.965926 + 0.258819i 0.131446 + 0.0352208i
\(55\) −5.28174 + 0.207139i −0.712190 + 0.0279306i
\(56\) 1.12326 + 0.648516i 0.150102 + 0.0866617i
\(57\) 4.71883i 0.625025i
\(58\) −3.16993 + 5.49047i −0.416232 + 0.720934i
\(59\) 5.81956 1.55935i 0.757642 0.203010i 0.140737 0.990047i \(-0.455053\pi\)
0.616905 + 0.787038i \(0.288386\pi\)
\(60\) 1.04129 1.97882i 0.134430 0.255464i
\(61\) 2.10240 3.64147i 0.269185 0.466243i −0.699466 0.714665i \(-0.746579\pi\)
0.968652 + 0.248423i \(0.0799123\pi\)
\(62\) −8.53291 2.28639i −1.08368 0.290372i
\(63\) 1.12326 0.648516i 0.141518 0.0817054i
\(64\) −1.00000 −0.125000
\(65\) 6.21572 + 5.13467i 0.770965 + 0.636878i
\(66\) 2.36388 0.290974
\(67\) 0.573907 0.331346i 0.0701140 0.0404803i −0.464533 0.885556i \(-0.653778\pi\)
0.534647 + 0.845075i \(0.320445\pi\)
\(68\) 6.70736 + 1.79723i 0.813387 + 0.217946i
\(69\) 2.54350 4.40547i 0.306201 0.530357i
\(70\) −0.859846 2.76986i −0.102771 0.331062i
\(71\) −12.2489 + 3.28208i −1.45367 + 0.389511i −0.897300 0.441421i \(-0.854475\pi\)
−0.556374 + 0.830932i \(0.687808\pi\)
\(72\) −0.500000 + 0.866025i −0.0589256 + 0.102062i
\(73\) 5.04229i 0.590155i 0.955473 + 0.295077i \(0.0953454\pi\)
−0.955473 + 0.295077i \(0.904655\pi\)
\(74\) −2.80275 1.61817i −0.325813 0.188108i
\(75\) −4.71345 + 1.66835i −0.544262 + 0.192645i
\(76\) 4.55804 + 1.22132i 0.522843 + 0.140095i
\(77\) 2.16801 2.16801i 0.247068 0.247068i
\(78\) −2.68763 2.40346i −0.304314 0.272139i
\(79\) 13.2885i 1.49507i −0.664222 0.747536i \(-0.731237\pi\)
0.664222 0.747536i \(-0.268763\pi\)
\(80\) 1.64189 + 1.51796i 0.183568 + 0.169713i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) −2.19059 8.17538i −0.241910 0.902820i
\(83\) −2.04522 −0.224492 −0.112246 0.993680i \(-0.535804\pi\)
−0.112246 + 0.993680i \(0.535804\pi\)
\(84\) 0.335697 + 1.25284i 0.0366275 + 0.136696i
\(85\) −8.28459 13.1324i −0.898590 1.42441i
\(86\) 0.569937 0.569937i 0.0614579 0.0614579i
\(87\) −6.12383 + 1.64087i −0.656543 + 0.175920i
\(88\) −0.611818 + 2.28334i −0.0652200 + 0.243404i
\(89\) 1.16115 4.33348i 0.123082 0.459348i −0.876682 0.481070i \(-0.840248\pi\)
0.999764 + 0.0217223i \(0.00691497\pi\)
\(90\) 2.13554 0.662933i 0.225105 0.0698793i
\(91\) −4.66925 + 0.260620i −0.489470 + 0.0273204i
\(92\) 3.59705 + 3.59705i 0.375019 + 0.375019i
\(93\) −4.41696 7.65040i −0.458018 0.793310i
\(94\) 10.0541 5.80474i 1.03700 0.598714i
\(95\) −5.62986 8.92421i −0.577611 0.915605i
\(96\) −0.707107 0.707107i −0.0721688 0.0721688i
\(97\) 5.19551 + 2.99963i 0.527524 + 0.304566i 0.740007 0.672599i \(-0.234822\pi\)
−0.212484 + 0.977165i \(0.568155\pi\)
\(98\) −4.60527 2.65885i −0.465202 0.268585i
\(99\) 1.67152 + 1.67152i 0.167994 + 0.167994i
\(100\) −0.391577 4.98464i −0.0391577 0.498464i
\(101\) 12.2279 7.05976i 1.21672 0.702473i 0.252504 0.967596i \(-0.418746\pi\)
0.964215 + 0.265123i \(0.0854126\pi\)
\(102\) 3.47199 + 6.01366i 0.343778 + 0.595441i
\(103\) −0.223293 0.223293i −0.0220017 0.0220017i 0.696020 0.718022i \(-0.254952\pi\)
−0.718022 + 0.696020i \(0.754952\pi\)
\(104\) 3.01718 1.97399i 0.295859 0.193566i
\(105\) 1.35059 2.56659i 0.131804 0.250474i
\(106\) −3.22006 + 12.0174i −0.312760 + 1.16723i
\(107\) −3.47715 + 12.9769i −0.336149 + 1.25453i 0.566469 + 0.824083i \(0.308309\pi\)
−0.902618 + 0.430442i \(0.858358\pi\)
\(108\) −0.965926 + 0.258819i −0.0929463 + 0.0249049i
\(109\) −2.20681 + 2.20681i −0.211374 + 0.211374i −0.804851 0.593477i \(-0.797755\pi\)
0.593477 + 0.804851i \(0.297755\pi\)
\(110\) 4.47055 2.82026i 0.426251 0.268901i
\(111\) −0.837624 3.12606i −0.0795038 0.296712i
\(112\) −1.29703 −0.122558
\(113\) −2.62886 9.81102i −0.247302 0.922943i −0.972212 0.234100i \(-0.924786\pi\)
0.724911 0.688843i \(-0.241881\pi\)
\(114\) 2.35942 + 4.08663i 0.220980 + 0.382748i
\(115\) −0.445756 11.3661i −0.0415670 1.05990i
\(116\) 6.33985i 0.588640i
\(117\) −0.200935 3.59995i −0.0185765 0.332815i
\(118\) −4.26021 + 4.26021i −0.392184 + 0.392184i
\(119\) 8.69967 + 2.33107i 0.797498 + 0.213689i
\(120\) 0.0876265 + 2.23435i 0.00799917 + 0.203967i
\(121\) −4.68698 2.70603i −0.426089 0.246003i
\(122\) 4.20481i 0.380685i
\(123\) 4.23189 7.32985i 0.381577 0.660910i
\(124\) 8.53291 2.28639i 0.766278 0.205324i
\(125\) −6.92358 + 8.77861i −0.619264 + 0.785183i
\(126\) −0.648516 + 1.12326i −0.0577744 + 0.100068i
\(127\) 12.9430 + 3.46805i 1.14850 + 0.307740i 0.782364 0.622821i \(-0.214013\pi\)
0.366137 + 0.930561i \(0.380680\pi\)
\(128\) 0.866025 0.500000i 0.0765466 0.0441942i
\(129\) 0.806013 0.0709655
\(130\) −7.95030 1.33890i −0.697288 0.117429i
\(131\) −13.0083 −1.13654 −0.568272 0.822841i \(-0.692388\pi\)
−0.568272 + 0.822841i \(0.692388\pi\)
\(132\) −2.04718 + 1.18194i −0.178184 + 0.102875i
\(133\) 5.91193 + 1.58410i 0.512629 + 0.137359i
\(134\) −0.331346 + 0.573907i −0.0286239 + 0.0495781i
\(135\) 1.97882 + 1.04129i 0.170309 + 0.0896198i
\(136\) −6.70736 + 1.79723i −0.575152 + 0.154111i
\(137\) 1.36061 2.35665i 0.116245 0.201342i −0.802032 0.597282i \(-0.796248\pi\)
0.918277 + 0.395939i \(0.129581\pi\)
\(138\) 5.08700i 0.433034i
\(139\) 1.84444 + 1.06489i 0.156443 + 0.0903225i 0.576178 0.817324i \(-0.304544\pi\)
−0.419735 + 0.907647i \(0.637877\pi\)
\(140\) 2.12958 + 1.96885i 0.179982 + 0.166398i
\(141\) 11.2139 + 3.00476i 0.944381 + 0.253046i
\(142\) 8.96680 8.96680i 0.752477 0.752477i
\(143\) −2.66132 8.09695i −0.222550 0.677101i
\(144\) 1.00000i 0.0833333i
\(145\) −9.62366 + 10.4093i −0.799201 + 0.864446i
\(146\) −2.52114 4.36675i −0.208651 0.361395i
\(147\) −1.37632 5.13651i −0.113517 0.423652i
\(148\) 3.23633 0.266025
\(149\) −1.18180 4.41052i −0.0968164 0.361324i 0.900472 0.434914i \(-0.143221\pi\)
−0.997289 + 0.0735898i \(0.976554\pi\)
\(150\) 3.24779 3.80156i 0.265181 0.310396i
\(151\) −13.3144 + 13.3144i −1.08351 + 1.08351i −0.0873303 + 0.996179i \(0.527834\pi\)
−0.996179 + 0.0873303i \(0.972166\pi\)
\(152\) −4.55804 + 1.22132i −0.369706 + 0.0990624i
\(153\) −1.79723 + 6.70736i −0.145298 + 0.542258i
\(154\) −0.793548 + 2.96156i −0.0639459 + 0.238649i
\(155\) −17.4807 9.19866i −1.40409 0.738854i
\(156\) 3.52929 + 0.737646i 0.282569 + 0.0590590i
\(157\) 10.5530 + 10.5530i 0.842224 + 0.842224i 0.989148 0.146924i \(-0.0469372\pi\)
−0.146924 + 0.989148i \(0.546937\pi\)
\(158\) 6.64424 + 11.5082i 0.528587 + 0.915540i
\(159\) −10.7745 + 6.22067i −0.854475 + 0.493331i
\(160\) −2.18090 0.493652i −0.172415 0.0390266i
\(161\) 4.66550 + 4.66550i 0.367693 + 0.367693i
\(162\) −0.866025 0.500000i −0.0680414 0.0392837i
\(163\) −1.52221 0.878849i −0.119229 0.0688368i 0.439200 0.898390i \(-0.355262\pi\)
−0.558428 + 0.829553i \(0.688595\pi\)
\(164\) 5.98479 + 5.98479i 0.467334 + 0.467334i
\(165\) 5.15538 + 1.16693i 0.401346 + 0.0908457i
\(166\) 1.77121 1.02261i 0.137473 0.0793699i
\(167\) 6.87400 + 11.9061i 0.531926 + 0.921324i 0.999305 + 0.0372665i \(0.0118650\pi\)
−0.467379 + 0.884057i \(0.654802\pi\)
\(168\) −0.917141 0.917141i −0.0707589 0.0707589i
\(169\) −5.20673 + 11.9118i −0.400518 + 0.916289i
\(170\) 13.7409 + 7.23068i 1.05388 + 0.554568i
\(171\) −1.22132 + 4.55804i −0.0933970 + 0.348562i
\(172\) −0.208612 + 0.778549i −0.0159065 + 0.0593638i
\(173\) 8.58782 2.30110i 0.652920 0.174949i 0.0828711 0.996560i \(-0.473591\pi\)
0.570049 + 0.821611i \(0.306924\pi\)
\(174\) 4.48295 4.48295i 0.339852 0.339852i
\(175\) −0.507888 6.46525i −0.0383927 0.488727i
\(176\) −0.611818 2.28334i −0.0461175 0.172113i
\(177\) −6.02485 −0.452855
\(178\) 1.16115 + 4.33348i 0.0870320 + 0.324808i
\(179\) −1.43583 2.48692i −0.107319 0.185881i 0.807364 0.590053i \(-0.200893\pi\)
−0.914683 + 0.404172i \(0.867560\pi\)
\(180\) −1.51796 + 1.64189i −0.113142 + 0.122379i
\(181\) 15.2820i 1.13590i 0.823062 + 0.567952i \(0.192264\pi\)
−0.823062 + 0.567952i \(0.807736\pi\)
\(182\) 3.91338 2.56033i 0.290079 0.189784i
\(183\) −2.97325 + 2.97325i −0.219789 + 0.219789i
\(184\) −4.91367 1.31661i −0.362240 0.0970620i
\(185\) −5.31369 4.91263i −0.390670 0.361184i
\(186\) 7.65040 + 4.41696i 0.560955 + 0.323867i
\(187\) 16.4147i 1.20036i
\(188\) −5.80474 + 10.0541i −0.423354 + 0.733271i
\(189\) −1.25284 + 0.335697i −0.0911305 + 0.0244184i
\(190\) 9.33771 + 4.91367i 0.677429 + 0.356475i
\(191\) −2.84601 + 4.92943i −0.205930 + 0.356681i −0.950429 0.310943i \(-0.899355\pi\)
0.744499 + 0.667624i \(0.232689\pi\)
\(192\) 0.965926 + 0.258819i 0.0697097 + 0.0186787i
\(193\) 3.75328 2.16696i 0.270167 0.155981i −0.358797 0.933416i \(-0.616813\pi\)
0.628963 + 0.777435i \(0.283479\pi\)
\(194\) −5.99925 −0.430721
\(195\) −4.67497 6.56846i −0.334781 0.470377i
\(196\) 5.31771 0.379836
\(197\) 0.358186 0.206799i 0.0255197 0.0147338i −0.487186 0.873298i \(-0.661977\pi\)
0.512706 + 0.858564i \(0.328643\pi\)
\(198\) −2.28334 0.611818i −0.162270 0.0434800i
\(199\) −8.50824 + 14.7367i −0.603133 + 1.04466i 0.389210 + 0.921149i \(0.372748\pi\)
−0.992343 + 0.123509i \(0.960585\pi\)
\(200\) 2.83144 + 4.12104i 0.200213 + 0.291401i
\(201\) −0.640111 + 0.171517i −0.0451499 + 0.0120979i
\(202\) −7.05976 + 12.2279i −0.496723 + 0.860350i
\(203\) 8.22300i 0.577141i
\(204\) −6.01366 3.47199i −0.421040 0.243088i
\(205\) −0.741652 18.9110i −0.0517992 1.32080i
\(206\) 0.305024 + 0.0817310i 0.0212520 + 0.00569447i
\(207\) −3.59705 + 3.59705i −0.250012 + 0.250012i
\(208\) −1.62596 + 3.21811i −0.112740 + 0.223136i
\(209\) 11.1548i 0.771591i
\(210\) 0.113655 + 2.89803i 0.00784291 + 0.199983i
\(211\) 5.51865 + 9.55858i 0.379919 + 0.658040i 0.991050 0.133490i \(-0.0426184\pi\)
−0.611131 + 0.791530i \(0.709285\pi\)
\(212\) −3.22006 12.0174i −0.221154 0.825360i
\(213\) 12.6810 0.868886
\(214\) −3.47715 12.9769i −0.237693 0.887083i
\(215\) 1.52432 0.961624i 0.103958 0.0655822i
\(216\) 0.707107 0.707107i 0.0481125 0.0481125i
\(217\) 11.0675 2.96552i 0.751309 0.201313i
\(218\) 0.807747 3.01455i 0.0547076 0.204171i
\(219\) 1.30504 4.87047i 0.0881864 0.329116i
\(220\) −2.46148 + 4.67769i −0.165953 + 0.315370i
\(221\) 16.6896 18.6628i 1.12266 1.25540i
\(222\) 2.28843 + 2.28843i 0.153590 + 0.153590i
\(223\) 5.99361 + 10.3812i 0.401362 + 0.695179i 0.993891 0.110370i \(-0.0352037\pi\)
−0.592529 + 0.805549i \(0.701870\pi\)
\(224\) 1.12326 0.648516i 0.0750512 0.0433308i
\(225\) 4.98464 0.391577i 0.332310 0.0261051i
\(226\) 7.18217 + 7.18217i 0.477751 + 0.477751i
\(227\) −9.07894 5.24173i −0.602591 0.347906i 0.167469 0.985877i \(-0.446440\pi\)
−0.770060 + 0.637971i \(0.779774\pi\)
\(228\) −4.08663 2.35942i −0.270644 0.156256i
\(229\) −8.70469 8.70469i −0.575222 0.575222i 0.358361 0.933583i \(-0.383336\pi\)
−0.933583 + 0.358361i \(0.883336\pi\)
\(230\) 6.06911 + 9.62049i 0.400185 + 0.634356i
\(231\) −2.65526 + 1.53302i −0.174703 + 0.100865i
\(232\) 3.16993 + 5.49047i 0.208116 + 0.360467i
\(233\) −18.0690 18.0690i −1.18374 1.18374i −0.978768 0.204973i \(-0.934289\pi\)
−0.204973 0.978768i \(-0.565711\pi\)
\(234\) 1.97399 + 3.01718i 0.129044 + 0.197239i
\(235\) 24.7925 7.69631i 1.61728 0.502052i
\(236\) 1.55935 5.81956i 0.101505 0.378821i
\(237\) −3.43931 + 12.8357i −0.223407 + 0.833768i
\(238\) −8.69967 + 2.33107i −0.563916 + 0.151101i
\(239\) 9.68691 9.68691i 0.626594 0.626594i −0.320615 0.947209i \(-0.603890\pi\)
0.947209 + 0.320615i \(0.103890\pi\)
\(240\) −1.19306 1.89119i −0.0770118 0.122076i
\(241\) −3.00649 11.2204i −0.193665 0.722769i −0.992608 0.121362i \(-0.961274\pi\)
0.798943 0.601407i \(-0.205393\pi\)
\(242\) 5.41206 0.347900
\(243\) −0.258819 0.965926i −0.0166032 0.0619642i
\(244\) −2.10240 3.64147i −0.134593 0.233121i
\(245\) −8.73106 8.07208i −0.557807 0.515706i
\(246\) 8.46378i 0.539631i
\(247\) 11.3415 12.6825i 0.721645 0.806967i
\(248\) −6.24653 + 6.24653i −0.396655 + 0.396655i
\(249\) 1.97553 + 0.529342i 0.125194 + 0.0335457i
\(250\) 1.60669 11.0643i 0.101616 0.699767i
\(251\) −14.5774 8.41627i −0.920118 0.531230i −0.0364452 0.999336i \(-0.511603\pi\)
−0.883673 + 0.468105i \(0.844937\pi\)
\(252\) 1.29703i 0.0817054i
\(253\) −6.01254 + 10.4140i −0.378005 + 0.654724i
\(254\) −12.9430 + 3.46805i −0.812113 + 0.217605i
\(255\) 4.60339 + 14.8291i 0.288275 + 0.928635i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 6.00363 + 1.60867i 0.374496 + 0.100346i 0.441158 0.897430i \(-0.354568\pi\)
−0.0666611 + 0.997776i \(0.521235\pi\)
\(258\) −0.698028 + 0.403007i −0.0434573 + 0.0250901i
\(259\) 4.19763 0.260828
\(260\) 7.55462 2.81563i 0.468517 0.174618i
\(261\) 6.33985 0.392427
\(262\) 11.2655 6.50417i 0.695988 0.401829i
\(263\) 12.4555 + 3.33744i 0.768038 + 0.205795i 0.621505 0.783410i \(-0.286522\pi\)
0.146534 + 0.989206i \(0.453188\pi\)
\(264\) 1.18194 2.04718i 0.0727435 0.125995i
\(265\) −12.9550 + 24.6192i −0.795821 + 1.51234i
\(266\) −5.91193 + 1.58410i −0.362484 + 0.0971272i
\(267\) −2.24317 + 3.88529i −0.137280 + 0.237776i
\(268\) 0.662691i 0.0404803i
\(269\) 0.184766 + 0.106675i 0.0112654 + 0.00650406i 0.505622 0.862755i \(-0.331263\pi\)
−0.494357 + 0.869259i \(0.664596\pi\)
\(270\) −2.23435 + 0.0876265i −0.135978 + 0.00533278i
\(271\) 1.83744 + 0.492340i 0.111616 + 0.0299075i 0.314195 0.949358i \(-0.398265\pi\)
−0.202578 + 0.979266i \(0.564932\pi\)
\(272\) 4.91013 4.91013i 0.297720 0.297720i
\(273\) 4.57760 + 0.956752i 0.277049 + 0.0579052i
\(274\) 2.72123i 0.164395i
\(275\) 11.1420 3.94379i 0.671890 0.237820i
\(276\) −2.54350 4.40547i −0.153101 0.265178i
\(277\) −6.22473 23.2310i −0.374008 1.39582i −0.854789 0.518976i \(-0.826314\pi\)
0.480781 0.876841i \(-0.340353\pi\)
\(278\) −2.12977 −0.127735
\(279\) 2.28639 + 8.53291i 0.136882 + 0.510852i
\(280\) −2.82869 0.640282i −0.169047 0.0382642i
\(281\) −6.72882 + 6.72882i −0.401408 + 0.401408i −0.878729 0.477321i \(-0.841608\pi\)
0.477321 + 0.878729i \(0.341608\pi\)
\(282\) −11.2139 + 3.00476i −0.667778 + 0.178931i
\(283\) −3.36636 + 12.5634i −0.200109 + 0.746818i 0.790775 + 0.612106i \(0.209678\pi\)
−0.990885 + 0.134712i \(0.956989\pi\)
\(284\) −3.28208 + 12.2489i −0.194755 + 0.726837i
\(285\) 3.12827 + 10.0772i 0.185303 + 0.596924i
\(286\) 6.35324 + 5.68151i 0.375675 + 0.335955i
\(287\) 7.76247 + 7.76247i 0.458204 + 0.458204i
\(288\) 0.500000 + 0.866025i 0.0294628 + 0.0510310i
\(289\) −27.0362 + 15.6094i −1.59037 + 0.918199i
\(290\) 3.12968 13.8266i 0.183781 0.811923i
\(291\) −4.24211 4.24211i −0.248677 0.248677i
\(292\) 4.36675 + 2.52114i 0.255545 + 0.147539i
\(293\) 6.08742 + 3.51457i 0.355631 + 0.205324i 0.667162 0.744912i \(-0.267509\pi\)
−0.311532 + 0.950236i \(0.600842\pi\)
\(294\) 3.76019 + 3.76019i 0.219298 + 0.219298i
\(295\) −11.3941 + 7.18802i −0.663392 + 0.418503i
\(296\) −2.80275 + 1.61817i −0.162906 + 0.0940540i
\(297\) −1.18194 2.04718i −0.0685832 0.118790i
\(298\) 3.22872 + 3.22872i 0.187035 + 0.187035i
\(299\) 17.4244 5.72707i 1.00768 0.331205i
\(300\) −0.911886 + 4.91614i −0.0526478 + 0.283834i
\(301\) −0.270576 + 1.00980i −0.0155957 + 0.0582041i
\(302\) 4.87341 18.1878i 0.280433 1.04659i
\(303\) −13.6384 + 3.65440i −0.783507 + 0.209940i
\(304\) 3.33672 3.33672i 0.191374 0.191374i
\(305\) −2.07571 + 9.17025i −0.118855 + 0.525087i
\(306\) −1.79723 6.70736i −0.102741 0.383434i
\(307\) −13.5523 −0.773472 −0.386736 0.922190i \(-0.626398\pi\)
−0.386736 + 0.922190i \(0.626398\pi\)
\(308\) −0.793548 2.96156i −0.0452166 0.168751i
\(309\) 0.157892 + 0.273477i 0.00898217 + 0.0155576i
\(310\) 19.7381 0.774086i 1.12105 0.0439651i
\(311\) 30.2666i 1.71626i −0.513433 0.858129i \(-0.671627\pi\)
0.513433 0.858129i \(-0.328373\pi\)
\(312\) −3.42528 + 1.12582i −0.193918 + 0.0637372i
\(313\) 16.4458 16.4458i 0.929571 0.929571i −0.0681069 0.997678i \(-0.521696\pi\)
0.997678 + 0.0681069i \(0.0216959\pi\)
\(314\) −14.4157 3.86268i −0.813526 0.217984i
\(315\) −1.96885 + 2.12958i −0.110932 + 0.119988i
\(316\) −11.5082 6.64424i −0.647385 0.373768i
\(317\) 14.9396i 0.839094i −0.907734 0.419547i \(-0.862189\pi\)
0.907734 0.419547i \(-0.137811\pi\)
\(318\) 6.22067 10.7745i 0.348838 0.604205i
\(319\) 14.4760 3.87883i 0.810501 0.217173i
\(320\) 2.13554 0.662933i 0.119380 0.0370591i
\(321\) 6.71734 11.6348i 0.374926 0.649390i
\(322\) −6.37319 1.70769i −0.355164 0.0951658i
\(323\) −28.3774 + 16.3837i −1.57896 + 0.911615i
\(324\) 1.00000 0.0555556
\(325\) −16.6778 6.84469i −0.925120 0.379675i
\(326\) 1.75770 0.0973499
\(327\) 2.70278 1.56045i 0.149464 0.0862930i
\(328\) −8.17538 2.19059i −0.451410 0.120955i
\(329\) −7.52894 + 13.0405i −0.415084 + 0.718947i
\(330\) −5.04816 + 1.56710i −0.277892 + 0.0862658i
\(331\) 11.0457 2.95968i 0.607125 0.162679i 0.0578568 0.998325i \(-0.481573\pi\)
0.549268 + 0.835646i \(0.314907\pi\)
\(332\) −1.02261 + 1.77121i −0.0561230 + 0.0972079i
\(333\) 3.23633i 0.177350i
\(334\) −11.9061 6.87400i −0.651474 0.376129i
\(335\) −1.00594 + 1.08806i −0.0549604 + 0.0594472i
\(336\) 1.25284 + 0.335697i 0.0683479 + 0.0183138i
\(337\) 20.3283 20.3283i 1.10735 1.10735i 0.113854 0.993497i \(-0.463680\pi\)
0.993497 0.113854i \(-0.0363196\pi\)
\(338\) −1.44671 12.9192i −0.0786909 0.702715i
\(339\) 10.1571i 0.551659i
\(340\) −15.5153 + 0.608476i −0.841434 + 0.0329993i
\(341\) 10.4412 + 18.0847i 0.565422 + 0.979339i
\(342\) −1.22132 4.55804i −0.0660416 0.246471i
\(343\) 15.9765 0.862648
\(344\) −0.208612 0.778549i −0.0112476 0.0419765i
\(345\) −2.51121 + 11.0942i −0.135199 + 0.597293i
\(346\) −6.28672 + 6.28672i −0.337976 + 0.337976i
\(347\) 13.4434 3.60214i 0.721677 0.193373i 0.120757 0.992682i \(-0.461468\pi\)
0.600920 + 0.799309i \(0.294801\pi\)
\(348\) −1.64087 + 6.12383i −0.0879601 + 0.328272i
\(349\) 7.74172 28.8925i 0.414405 1.54658i −0.371620 0.928385i \(-0.621198\pi\)
0.786025 0.618195i \(-0.212136\pi\)
\(350\) 3.67247 + 5.34512i 0.196302 + 0.285709i
\(351\) −0.737646 + 3.52929i −0.0393727 + 0.188379i
\(352\) 1.67152 + 1.67152i 0.0890922 + 0.0890922i
\(353\) 13.4248 + 23.2525i 0.714532 + 1.23760i 0.963140 + 0.269001i \(0.0866934\pi\)
−0.248608 + 0.968604i \(0.579973\pi\)
\(354\) 5.21767 3.01242i 0.277316 0.160109i
\(355\) 23.9821 15.1292i 1.27284 0.802974i
\(356\) −3.17233 3.17233i −0.168133 0.168133i
\(357\) −7.79991 4.50328i −0.412815 0.238339i
\(358\) 2.48692 + 1.43583i 0.131438 + 0.0758858i
\(359\) −5.81339 5.81339i −0.306819 0.306819i 0.536855 0.843674i \(-0.319612\pi\)
−0.843674 + 0.536855i \(0.819612\pi\)
\(360\) 0.493652 2.18090i 0.0260177 0.114943i
\(361\) −2.82964 + 1.63369i −0.148928 + 0.0859837i
\(362\) −7.64101 13.2346i −0.401602 0.695596i
\(363\) 3.82690 + 3.82690i 0.200860 + 0.200860i
\(364\) −2.10892 + 4.17400i −0.110538 + 0.218777i
\(365\) −3.34270 10.7680i −0.174965 0.563622i
\(366\) 1.08828 4.06153i 0.0568855 0.212300i
\(367\) 7.61596 28.4231i 0.397550 1.48368i −0.419844 0.907596i \(-0.637915\pi\)
0.817393 0.576080i \(-0.195418\pi\)
\(368\) 4.91367 1.31661i 0.256143 0.0686332i
\(369\) −5.98479 + 5.98479i −0.311556 + 0.311556i
\(370\) 7.05810 + 1.59762i 0.366933 + 0.0830564i
\(371\) −4.17652 15.5870i −0.216834 0.809236i
\(372\) −8.83392 −0.458018
\(373\) 2.73310 + 10.2001i 0.141515 + 0.528140i 0.999886 + 0.0151105i \(0.00481002\pi\)
−0.858371 + 0.513029i \(0.828523\pi\)
\(374\) −8.20737 14.2156i −0.424393 0.735070i
\(375\) 8.95974 6.68753i 0.462679 0.345343i
\(376\) 11.6095i 0.598714i
\(377\) −20.4024 10.3083i −1.05078 0.530906i
\(378\) 0.917141 0.917141i 0.0471726 0.0471726i
\(379\) −6.58577 1.76465i −0.338288 0.0906440i 0.0856759 0.996323i \(-0.472695\pi\)
−0.423964 + 0.905679i \(0.639362\pi\)
\(380\) −10.5435 + 0.413495i −0.540871 + 0.0212118i
\(381\) −11.6043 6.69977i −0.594508 0.343239i
\(382\) 5.69202i 0.291229i
\(383\) 9.91784 17.1782i 0.506778 0.877765i −0.493191 0.869921i \(-0.664170\pi\)
0.999969 0.00784427i \(-0.00249694\pi\)
\(384\) −0.965926 + 0.258819i −0.0492922 + 0.0132078i
\(385\) −3.19262 + 6.06712i −0.162711 + 0.309209i
\(386\) −2.16696 + 3.75328i −0.110295 + 0.191037i
\(387\) −0.778549 0.208612i −0.0395759 0.0106043i
\(388\) 5.19551 2.99963i 0.263762 0.152283i
\(389\) −26.5912 −1.34823 −0.674113 0.738628i \(-0.735474\pi\)
−0.674113 + 0.738628i \(0.735474\pi\)
\(390\) 7.33287 + 3.35097i 0.371314 + 0.169683i
\(391\) −35.3240 −1.78641
\(392\) −4.60527 + 2.65885i −0.232601 + 0.134292i
\(393\) 12.5651 + 3.36680i 0.633825 + 0.169833i
\(394\) −0.206799 + 0.358186i −0.0104184 + 0.0180451i
\(395\) 8.80938 + 28.3781i 0.443248 + 1.42785i
\(396\) 2.28334 0.611818i 0.114742 0.0307450i
\(397\) −4.98507 + 8.63440i −0.250194 + 0.433348i −0.963579 0.267424i \(-0.913828\pi\)
0.713385 + 0.700772i \(0.247161\pi\)
\(398\) 17.0165i 0.852959i
\(399\) −5.30049 3.06024i −0.265357 0.153204i
\(400\) −4.51262 2.15321i −0.225631 0.107660i
\(401\) 17.9265 + 4.80339i 0.895206 + 0.239870i 0.676956 0.736023i \(-0.263299\pi\)
0.218250 + 0.975893i \(0.429965\pi\)
\(402\) 0.468594 0.468594i 0.0233713 0.0233713i
\(403\) 6.51631 31.1775i 0.324601 1.55306i
\(404\) 14.1195i 0.702473i
\(405\) −1.64189 1.51796i −0.0815860 0.0754282i
\(406\) 4.11150 + 7.12132i 0.204050 + 0.353425i
\(407\) 1.98005 + 7.38963i 0.0981472 + 0.366290i
\(408\) 6.94397 0.343778
\(409\) 2.53797 + 9.47184i 0.125495 + 0.468352i 0.999857 0.0169217i \(-0.00538659\pi\)
−0.874362 + 0.485274i \(0.838720\pi\)
\(410\) 10.0978 + 16.0066i 0.498695 + 0.790510i
\(411\) −1.92420 + 1.92420i −0.0949137 + 0.0949137i
\(412\) −0.305024 + 0.0817310i −0.0150275 + 0.00402659i
\(413\) 2.02252 7.54816i 0.0995218 0.371421i
\(414\) 1.31661 4.91367i 0.0647080 0.241493i
\(415\) 4.36764 1.35584i 0.214399 0.0665558i
\(416\) −0.200935 3.59995i −0.00985167 0.176502i
\(417\) −1.50598 1.50598i −0.0737480 0.0737480i
\(418\) −5.57738 9.66031i −0.272799 0.472501i
\(419\) −5.99767 + 3.46276i −0.293005 + 0.169167i −0.639296 0.768960i \(-0.720774\pi\)
0.346291 + 0.938127i \(0.387441\pi\)
\(420\) −1.54744 2.45294i −0.0755074 0.119691i
\(421\) −19.5137 19.5137i −0.951041 0.951041i 0.0478153 0.998856i \(-0.484774\pi\)
−0.998856 + 0.0478153i \(0.984774\pi\)
\(422\) −9.55858 5.51865i −0.465304 0.268644i
\(423\) −10.0541 5.80474i −0.488848 0.282236i
\(424\) 8.79736 + 8.79736i 0.427238 + 0.427238i
\(425\) 26.3979 + 22.5526i 1.28049 + 1.09396i
\(426\) −10.9820 + 6.34049i −0.532082 + 0.307198i
\(427\) −2.72689 4.72311i −0.131963 0.228567i
\(428\) 9.49976 + 9.49976i 0.459188 + 0.459188i
\(429\) 0.474988 + 8.50985i 0.0229326 + 0.410860i
\(430\) −0.839292 + 1.59495i −0.0404743 + 0.0769155i
\(431\) 0.563587 2.10333i 0.0271470 0.101314i −0.951023 0.309120i \(-0.899966\pi\)
0.978170 + 0.207806i \(0.0666322\pi\)
\(432\) −0.258819 + 0.965926i −0.0124524 + 0.0464731i
\(433\) −34.9027 + 9.35214i −1.67731 + 0.449435i −0.967068 0.254518i \(-0.918083\pi\)
−0.710246 + 0.703953i \(0.751417\pi\)
\(434\) −8.10195 + 8.10195i −0.388906 + 0.388906i
\(435\) 11.9899 7.56384i 0.574870 0.362658i
\(436\) 0.807747 + 3.01455i 0.0386841 + 0.144371i
\(437\) −24.0047 −1.14830
\(438\) 1.30504 + 4.87047i 0.0623572 + 0.232720i
\(439\) −8.21571 14.2300i −0.392114 0.679162i 0.600614 0.799539i \(-0.294923\pi\)
−0.992728 + 0.120377i \(0.961590\pi\)
\(440\) −0.207139 5.28174i −0.00987496 0.251797i
\(441\) 5.31771i 0.253224i
\(442\) −5.12220 + 24.5073i −0.243638 + 1.16569i
\(443\) −27.3942 + 27.3942i −1.30154 + 1.30154i −0.374187 + 0.927353i \(0.622078\pi\)
−0.927353 + 0.374187i \(0.877922\pi\)
\(444\) −3.12606 0.837624i −0.148356 0.0397519i
\(445\) 0.393123 + 10.0241i 0.0186358 + 0.475186i
\(446\) −10.3812 5.99361i −0.491566 0.283806i
\(447\) 4.56611i 0.215969i
\(448\) −0.648516 + 1.12326i −0.0306395 + 0.0530692i
\(449\) 39.0040 10.4511i 1.84071 0.493218i 0.841800 0.539790i \(-0.181496\pi\)
0.998915 + 0.0465717i \(0.0148296\pi\)
\(450\) −4.12104 + 2.83144i −0.194268 + 0.133475i
\(451\) −10.0037 + 17.3269i −0.471055 + 0.815892i
\(452\) −9.81102 2.62886i −0.461472 0.123651i
\(453\) 16.3067 9.41470i 0.766157 0.442341i
\(454\) 10.4835 0.492013
\(455\) 9.79859 3.65196i 0.459365 0.171207i
\(456\) 4.71883 0.220980
\(457\) 6.12025 3.53353i 0.286293 0.165291i −0.349976 0.936759i \(-0.613810\pi\)
0.636269 + 0.771467i \(0.280477\pi\)
\(458\) 11.8908 + 3.18614i 0.555622 + 0.148878i
\(459\) 3.47199 6.01366i 0.162058 0.280694i
\(460\) −10.0662 5.29703i −0.469341 0.246976i
\(461\) −15.1853 + 4.06888i −0.707249 + 0.189507i −0.594475 0.804114i \(-0.702640\pi\)
−0.112774 + 0.993621i \(0.535974\pi\)
\(462\) 1.53302 2.65526i 0.0713224 0.123534i
\(463\) 13.2887i 0.617577i 0.951131 + 0.308788i \(0.0999235\pi\)
−0.951131 + 0.308788i \(0.900077\pi\)
\(464\) −5.49047 3.16993i −0.254889 0.147160i
\(465\) 14.5043 + 13.4096i 0.672620 + 0.621854i
\(466\) 24.6827 + 6.61372i 1.14341 + 0.306375i
\(467\) 11.5225 11.5225i 0.533200 0.533200i −0.388324 0.921523i \(-0.626946\pi\)
0.921523 + 0.388324i \(0.126946\pi\)
\(468\) −3.21811 1.62596i −0.148757 0.0751600i
\(469\) 0.859532i 0.0396895i
\(470\) −17.6228 + 19.0615i −0.812878 + 0.879239i
\(471\) −7.46212 12.9248i −0.343837 0.595542i
\(472\) 1.55935 + 5.81956i 0.0717747 + 0.267867i
\(473\) −1.90532 −0.0876067
\(474\) −3.43931 12.8357i −0.157973 0.589563i
\(475\) 17.9389 + 15.3258i 0.823095 + 0.703195i
\(476\) 6.36860 6.36860i 0.291904 0.291904i
\(477\) 12.0174 3.22006i 0.550240 0.147436i
\(478\) −3.54566 + 13.2326i −0.162175 + 0.605244i
\(479\) −8.77511 + 32.7492i −0.400945 + 1.49635i 0.410468 + 0.911875i \(0.365365\pi\)
−0.811413 + 0.584473i \(0.801301\pi\)
\(480\) 1.97882 + 1.04129i 0.0903202 + 0.0475281i
\(481\) 5.26214 10.4149i 0.239933 0.474878i
\(482\) 8.21390 + 8.21390i 0.374133 + 0.374133i
\(483\) −3.29900 5.71404i −0.150110 0.259998i
\(484\) −4.68698 + 2.70603i −0.213045 + 0.123001i
\(485\) −13.0837 2.96154i −0.594102 0.134477i
\(486\) 0.707107 + 0.707107i 0.0320750 + 0.0320750i
\(487\) 34.0102 + 19.6358i 1.54115 + 0.889783i 0.998767 + 0.0496516i \(0.0158111\pi\)
0.542383 + 0.840131i \(0.317522\pi\)
\(488\) 3.64147 + 2.10240i 0.164842 + 0.0951714i
\(489\) 1.24288 + 1.24288i 0.0562050 + 0.0562050i
\(490\) 11.5974 + 2.62509i 0.523915 + 0.118590i
\(491\) 34.8781 20.1369i 1.57403 0.908765i 0.578359 0.815782i \(-0.303693\pi\)
0.995668 0.0929826i \(-0.0296401\pi\)
\(492\) −4.23189 7.32985i −0.190788 0.330455i
\(493\) 31.1295 + 31.1295i 1.40200 + 1.40200i
\(494\) −3.48083 + 16.6541i −0.156610 + 0.749304i
\(495\) −4.67769 2.46148i −0.210247 0.110635i
\(496\) 2.28639 8.53291i 0.102662 0.383139i
\(497\) −4.25696 + 15.8872i −0.190951 + 0.712638i
\(498\) −1.97553 + 0.529342i −0.0885257 + 0.0237204i
\(499\) −14.8255 + 14.8255i −0.663679 + 0.663679i −0.956245 0.292566i \(-0.905491\pi\)
0.292566 + 0.956245i \(0.405491\pi\)
\(500\) 4.14071 + 10.3853i 0.185178 + 0.464445i
\(501\) −3.55825 13.2796i −0.158971 0.593287i
\(502\) 16.8325 0.751273
\(503\) 2.29209 + 8.55419i 0.102199 + 0.381412i 0.998012 0.0630184i \(-0.0200727\pi\)
−0.895813 + 0.444431i \(0.853406\pi\)
\(504\) 0.648516 + 1.12326i 0.0288872 + 0.0500341i
\(505\) −21.4329 + 23.1826i −0.953752 + 1.03161i
\(506\) 12.0251i 0.534580i
\(507\) 8.11231 10.1583i 0.360280 0.451145i
\(508\) 9.47490 9.47490i 0.420381 0.420381i
\(509\) 13.6779 + 3.66497i 0.606261 + 0.162447i 0.548874 0.835905i \(-0.315057\pi\)
0.0573867 + 0.998352i \(0.481723\pi\)
\(510\) −11.4012 10.5407i −0.504854 0.466750i
\(511\) 5.66381 + 3.27000i 0.250552 + 0.144656i
\(512\) 1.00000i 0.0441942i
\(513\) 2.35942 4.08663i 0.104171 0.180429i
\(514\) −6.00363 + 1.60867i −0.264809 + 0.0709554i
\(515\) 0.624879 + 0.328822i 0.0275355 + 0.0144896i
\(516\) 0.403007 0.698028i 0.0177414 0.0307290i
\(517\) −26.5084 7.10289i −1.16584 0.312385i
\(518\) −3.63525 + 2.09881i −0.159724 + 0.0922166i
\(519\) −8.89076 −0.390261
\(520\) −5.13467 + 6.21572i −0.225170 + 0.272577i
\(521\) −4.48877 −0.196657 −0.0983284 0.995154i \(-0.531350\pi\)
−0.0983284 + 0.995154i \(0.531350\pi\)
\(522\) −5.49047 + 3.16993i −0.240311 + 0.138744i
\(523\) −7.21056 1.93207i −0.315296 0.0844833i 0.0977007 0.995216i \(-0.468851\pi\)
−0.412997 + 0.910733i \(0.635518\pi\)
\(524\) −6.50417 + 11.2655i −0.284136 + 0.492138i
\(525\) −1.18275 + 6.37640i −0.0516193 + 0.278289i
\(526\) −12.4555 + 3.33744i −0.543085 + 0.145519i
\(527\) −30.6713 + 53.1242i −1.33606 + 2.31413i
\(528\) 2.36388i 0.102875i
\(529\) −2.49206 1.43879i −0.108350 0.0625560i
\(530\) −1.09019 27.7983i −0.0473549 1.20748i
\(531\) 5.81956 + 1.55935i 0.252547 + 0.0676698i
\(532\) 4.32783 4.32783i 0.187635 0.187635i
\(533\) 28.9908 9.52872i 1.25573 0.412735i
\(534\) 4.48635i 0.194143i
\(535\) −1.17724 30.0178i −0.0508963 1.29778i
\(536\) 0.331346 + 0.573907i 0.0143120 + 0.0247890i
\(537\) 0.743239 + 2.77380i 0.0320731 + 0.119698i
\(538\) −0.213349 −0.00919813
\(539\) 3.25347 + 12.1421i 0.140137 + 0.522997i
\(540\) 1.89119 1.19306i 0.0813839 0.0513412i
\(541\) 8.66329 8.66329i 0.372464 0.372464i −0.495910 0.868374i \(-0.665165\pi\)
0.868374 + 0.495910i \(0.165165\pi\)
\(542\) −1.83744 + 0.492340i −0.0789247 + 0.0211478i
\(543\) 3.95528 14.7613i 0.169737 0.633468i
\(544\) −1.79723 + 6.70736i −0.0770557 + 0.287576i
\(545\) 3.24975 6.17568i 0.139204 0.264537i
\(546\) −4.44270 + 1.46023i −0.190130 + 0.0624921i
\(547\) −3.33496 3.33496i −0.142592 0.142592i 0.632207 0.774800i \(-0.282149\pi\)
−0.774800 + 0.632207i \(0.782149\pi\)
\(548\) −1.36061 2.35665i −0.0581226 0.100671i
\(549\) 3.64147 2.10240i 0.155414 0.0897284i
\(550\) −7.67739 + 8.98645i −0.327365 + 0.383183i
\(551\) 21.1543 + 21.1543i 0.901204 + 0.901204i
\(552\) 4.40547 + 2.54350i 0.187509 + 0.108259i
\(553\) −14.9265 8.61780i −0.634738 0.366466i
\(554\) 17.0063 + 17.0063i 0.722528 + 0.722528i
\(555\) 3.86115 + 6.12052i 0.163896 + 0.259802i
\(556\) 1.84444 1.06489i 0.0782216 0.0451613i
\(557\) −13.1129 22.7122i −0.555612 0.962348i −0.997856 0.0654529i \(-0.979151\pi\)
0.442244 0.896895i \(-0.354183\pi\)
\(558\) −6.24653 6.24653i −0.264437 0.264437i
\(559\) 2.16627 + 1.93722i 0.0916233 + 0.0819358i
\(560\) 2.76986 0.859846i 0.117048 0.0363351i
\(561\) 4.24845 15.8554i 0.179370 0.669416i
\(562\) 2.46292 9.19174i 0.103892 0.387730i
\(563\) −1.03619 + 0.277646i −0.0436701 + 0.0117014i −0.280588 0.959828i \(-0.590529\pi\)
0.236918 + 0.971530i \(0.423863\pi\)
\(564\) 8.20915 8.20915i 0.345667 0.345667i
\(565\) 12.1181 + 19.2090i 0.509811 + 0.808131i
\(566\) −3.36636 12.5634i −0.141499 0.528080i
\(567\) 1.29703 0.0544703
\(568\) −3.28208 12.2489i −0.137713 0.513951i
\(569\) 1.22207 + 2.11668i 0.0512316 + 0.0887358i 0.890504 0.454975i \(-0.150352\pi\)
−0.839272 + 0.543711i \(0.817019\pi\)
\(570\) −7.74778 7.16301i −0.324519 0.300026i
\(571\) 20.9592i 0.877117i 0.898703 + 0.438558i \(0.144511\pi\)
−0.898703 + 0.438558i \(0.855489\pi\)
\(572\) −8.34282 1.74371i −0.348831 0.0729082i
\(573\) 4.02486 4.02486i 0.168141 0.168141i
\(574\) −10.6037 2.84126i −0.442591 0.118592i
\(575\) 8.48692 + 23.9773i 0.353929 + 0.999923i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) 27.7348i 1.15462i −0.816527 0.577308i \(-0.804103\pi\)
0.816527 0.577308i \(-0.195897\pi\)
\(578\) 15.6094 27.0362i 0.649265 1.12456i
\(579\) −4.18624 + 1.12170i −0.173974 + 0.0466162i
\(580\) 4.20290 + 13.5390i 0.174516 + 0.562176i
\(581\) −1.32636 + 2.29732i −0.0550266 + 0.0953090i
\(582\) 5.79483 + 1.55272i 0.240204 + 0.0643624i
\(583\) 25.4697 14.7049i 1.05485 0.609016i
\(584\) −5.04229 −0.208651
\(585\) 2.81563 + 7.55462i 0.116412 + 0.312345i
\(586\) −7.02915 −0.290371
\(587\) −0.408623 + 0.235919i −0.0168657 + 0.00973741i −0.508409 0.861116i \(-0.669766\pi\)
0.491543 + 0.870853i \(0.336433\pi\)
\(588\) −5.13651 1.37632i −0.211826 0.0567586i
\(589\) −20.8429 + 36.1010i −0.858817 + 1.48751i
\(590\) 6.27360 11.9221i 0.258280 0.490824i
\(591\) −0.399504 + 0.107047i −0.0164334 + 0.00440332i
\(592\) 1.61817 2.80275i 0.0665062 0.115192i
\(593\) 30.9039i 1.26907i −0.772893 0.634536i \(-0.781191\pi\)
0.772893 0.634536i \(-0.218809\pi\)
\(594\) 2.04718 + 1.18194i 0.0839969 + 0.0484956i
\(595\) −20.1238 + 0.789214i −0.824996 + 0.0323546i
\(596\) −4.41052 1.18180i −0.180662 0.0484082i
\(597\) 12.0325 12.0325i 0.492456 0.492456i
\(598\) −12.2264 + 13.6720i −0.499976 + 0.559089i
\(599\) 18.6640i 0.762592i −0.924453 0.381296i \(-0.875478\pi\)
0.924453 0.381296i \(-0.124522\pi\)
\(600\) −1.66835 4.71345i −0.0681103 0.192426i
\(601\) 6.45779 + 11.1852i 0.263419 + 0.456255i 0.967148 0.254213i \(-0.0818166\pi\)
−0.703729 + 0.710468i \(0.748483\pi\)
\(602\) −0.270576 1.00980i −0.0110279 0.0411565i
\(603\) 0.662691 0.0269869
\(604\) 4.87341 + 18.1878i 0.198296 + 0.740051i
\(605\) 11.8031 + 2.67167i 0.479866 + 0.108619i
\(606\) 9.98401 9.98401i 0.405573 0.405573i
\(607\) −3.69210 + 0.989296i −0.149858 + 0.0401543i −0.332968 0.942938i \(-0.608050\pi\)
0.183110 + 0.983092i \(0.441383\pi\)
\(608\) −1.22132 + 4.55804i −0.0495312 + 0.184853i
\(609\) −2.12827 + 7.94280i −0.0862418 + 0.321859i
\(610\) −2.78751 8.97952i −0.112863 0.363570i
\(611\) 22.9170 + 35.0279i 0.927123 + 1.41708i
\(612\) 4.91013 + 4.91013i 0.198480 + 0.198480i
\(613\) −12.1389 21.0252i −0.490285 0.849199i 0.509652 0.860381i \(-0.329774\pi\)
−0.999937 + 0.0111815i \(0.996441\pi\)
\(614\) 11.7367 6.77616i 0.473653 0.273464i
\(615\) −4.17816 + 18.4586i −0.168480 + 0.744323i
\(616\) 2.16801 + 2.16801i 0.0873517 + 0.0873517i
\(617\) 16.1362 + 9.31625i 0.649620 + 0.375058i 0.788311 0.615278i \(-0.210956\pi\)
−0.138691 + 0.990336i \(0.544289\pi\)
\(618\) −0.273477 0.157892i −0.0110009 0.00635135i
\(619\) −16.3696 16.3696i −0.657949 0.657949i 0.296946 0.954894i \(-0.404032\pi\)
−0.954894 + 0.296946i \(0.904032\pi\)
\(620\) −16.7066 + 10.5394i −0.670955 + 0.423273i
\(621\) 4.40547 2.54350i 0.176786 0.102067i
\(622\) 15.1333 + 26.2116i 0.606789 + 1.05099i
\(623\) −4.11461 4.11461i −0.164848 0.164848i
\(624\) 2.40346 2.68763i 0.0962156 0.107591i
\(625\) 8.96593 23.3369i 0.358637 0.933477i
\(626\) −6.01958 + 22.4654i −0.240591 + 0.897897i
\(627\) 2.88707 10.7747i 0.115298 0.430299i
\(628\) 14.4157 3.86268i 0.575250 0.154138i
\(629\) −15.8908 + 15.8908i −0.633608 + 0.633608i
\(630\) 0.640282 2.82869i 0.0255095 0.112698i
\(631\) −12.6935 47.3728i −0.505321 1.88588i −0.462121 0.886817i \(-0.652912\pi\)
−0.0431996 0.999066i \(-0.513755\pi\)
\(632\) 13.2885 0.528587
\(633\) −2.85666 10.6612i −0.113542 0.423745i
\(634\) 7.46982 + 12.9381i 0.296664 + 0.513838i
\(635\) −29.9392 + 1.17415i −1.18810 + 0.0465949i
\(636\) 12.4413i 0.493331i
\(637\) 8.64637 17.1130i 0.342582 0.678041i
\(638\) −10.5972 + 10.5972i −0.419546 + 0.419546i
\(639\) −12.2489 3.28208i −0.484558 0.129837i
\(640\) −1.51796 + 1.64189i −0.0600028 + 0.0649012i
\(641\) 30.5023 + 17.6105i 1.20477 + 0.695572i 0.961611 0.274415i \(-0.0884842\pi\)
0.243155 + 0.969987i \(0.421817\pi\)
\(642\) 13.4347i 0.530225i
\(643\) 8.61155 14.9156i 0.339606 0.588215i −0.644752 0.764392i \(-0.723039\pi\)
0.984359 + 0.176176i \(0.0563728\pi\)
\(644\) 6.37319 1.70769i 0.251139 0.0672924i
\(645\) −1.72127 + 0.534333i −0.0677750 + 0.0210393i
\(646\) 16.3837 28.3774i 0.644609 1.11650i
\(647\) 17.2315 + 4.61717i 0.677441 + 0.181520i 0.581104 0.813829i \(-0.302621\pi\)
0.0963367 + 0.995349i \(0.469287\pi\)
\(648\) −0.866025 + 0.500000i −0.0340207 + 0.0196419i
\(649\) 14.2420 0.559049
\(650\) 17.8658 2.41125i 0.700753 0.0945769i
\(651\) −11.4579 −0.449070
\(652\) −1.52221 + 0.878849i −0.0596144 + 0.0344184i
\(653\) 15.0392 + 4.02975i 0.588531 + 0.157696i 0.540782 0.841163i \(-0.318129\pi\)
0.0477492 + 0.998859i \(0.484795\pi\)
\(654\) −1.56045 + 2.70278i −0.0610183 + 0.105687i
\(655\) 27.7798 8.62366i 1.08545 0.336954i
\(656\) 8.17538 2.19059i 0.319195 0.0855280i
\(657\) −2.52114 + 4.36675i −0.0983591 + 0.170363i
\(658\) 15.0579i 0.587018i
\(659\) −15.1800 8.76418i −0.591329 0.341404i 0.174294 0.984694i \(-0.444236\pi\)
−0.765623 + 0.643290i \(0.777569\pi\)
\(660\) 3.58829 3.88122i 0.139674 0.151076i
\(661\) −37.7494 10.1149i −1.46828 0.393425i −0.565940 0.824447i \(-0.691486\pi\)
−0.902341 + 0.431022i \(0.858153\pi\)
\(662\) −8.08599 + 8.08599i −0.314271 + 0.314271i
\(663\) −20.9512 + 13.7073i −0.813678 + 0.532349i
\(664\) 2.04522i 0.0793699i
\(665\) −13.6753 + 0.536317i −0.530305 + 0.0207975i
\(666\) −1.61817 2.80275i −0.0627027 0.108604i
\(667\) 8.34713 + 31.1519i 0.323202 + 1.20621i
\(668\) 13.7480 0.531926
\(669\) −3.10252 11.5788i −0.119950 0.447661i
\(670\) 0.327139 1.44526i 0.0126385 0.0558353i
\(671\) 7.02841 7.02841i 0.271329 0.271329i
\(672\) −1.25284 + 0.335697i −0.0483293 + 0.0129498i
\(673\) −13.2880 + 49.5916i −0.512216 + 1.91162i −0.116670 + 0.993171i \(0.537222\pi\)
−0.395546 + 0.918446i \(0.629445\pi\)
\(674\) −7.44066 + 27.7689i −0.286604 + 1.06962i
\(675\) −4.91614 0.911886i −0.189222 0.0350985i
\(676\) 7.71252 + 10.4650i 0.296635 + 0.402502i
\(677\) 8.54818 + 8.54818i 0.328533 + 0.328533i 0.852029 0.523495i \(-0.175372\pi\)
−0.523495 + 0.852029i \(0.675372\pi\)
\(678\) −5.07856 8.79632i −0.195041 0.337821i
\(679\) 6.73874 3.89061i 0.258609 0.149308i
\(680\) 13.1324 8.28459i 0.503604 0.317700i
\(681\) 7.41292 + 7.41292i 0.284064 + 0.284064i
\(682\) −18.0847 10.4412i −0.692497 0.399813i
\(683\) 10.7933 + 6.23153i 0.412995 + 0.238443i 0.692076 0.721825i \(-0.256696\pi\)
−0.279081 + 0.960268i \(0.590030\pi\)
\(684\) 3.33672 + 3.33672i 0.127583 + 0.127583i
\(685\) −1.34334 + 5.93472i −0.0513263 + 0.226754i
\(686\) −13.8360 + 7.98823i −0.528262 + 0.304992i
\(687\) 6.15514 + 10.6610i 0.234833 + 0.406743i
\(688\) 0.569937 + 0.569937i 0.0217287 + 0.0217287i
\(689\) −43.9091 9.17731i −1.67280 0.349628i
\(690\) −3.37234 10.8635i −0.128383 0.413566i
\(691\) 8.78573 32.7888i 0.334225 1.24734i −0.570482 0.821310i \(-0.693244\pi\)
0.904707 0.426034i \(-0.140090\pi\)
\(692\) 2.30110 8.58782i 0.0874746 0.326460i
\(693\) 2.96156 0.793548i 0.112500 0.0301444i
\(694\) −9.84122 + 9.84122i −0.373568 + 0.373568i
\(695\) −4.64482 1.05137i −0.176188 0.0398806i
\(696\) −1.64087 6.12383i −0.0621972 0.232123i
\(697\) −58.7722 −2.22616
\(698\) 7.74172 + 28.8925i 0.293028 + 1.09360i
\(699\) 12.7767 + 22.1299i 0.483260 + 0.837031i
\(700\) −5.85301 2.79278i −0.221223 0.105557i
\(701\) 39.3497i 1.48622i 0.669170 + 0.743109i \(0.266650\pi\)
−0.669170 + 0.743109i \(0.733350\pi\)
\(702\) −1.12582 3.42528i −0.0424915 0.129279i
\(703\) −10.7987 + 10.7987i −0.407282 + 0.407282i
\(704\) −2.28334 0.611818i −0.0860564 0.0230588i
\(705\) −25.9397 + 1.01730i −0.976944 + 0.0383137i
\(706\) −23.2525 13.4248i −0.875119 0.505250i
\(707\) 18.3135i 0.688750i
\(708\) −3.01242 + 5.21767i −0.113214 + 0.196092i
\(709\) 14.0918 3.77590i 0.529230 0.141807i 0.0156976 0.999877i \(-0.495003\pi\)
0.513533 + 0.858070i \(0.328336\pi\)
\(710\) −13.2045 + 25.0933i −0.495558 + 0.941736i
\(711\) 6.64424 11.5082i 0.249179 0.431590i
\(712\) 4.33348 + 1.16115i 0.162404 + 0.0435160i
\(713\) −38.9176 + 22.4691i −1.45748 + 0.841474i
\(714\) 9.00656 0.337062
\(715\) 11.0511 + 15.5271i 0.413287 + 0.580679i
\(716\) −2.87165 −0.107319
\(717\) −11.8640 + 6.84968i −0.443069 + 0.255806i
\(718\) 7.94124 + 2.12785i 0.296364 + 0.0794106i
\(719\) 18.0641 31.2880i 0.673678 1.16684i −0.303176 0.952935i \(-0.598047\pi\)
0.976853 0.213909i \(-0.0686198\pi\)
\(720\) 0.662933 + 2.13554i 0.0247061 + 0.0795868i
\(721\) −0.395626 + 0.106008i −0.0147339 + 0.00394793i
\(722\) 1.63369 2.82964i 0.0607997 0.105308i
\(723\) 11.6162i 0.432011i
\(724\) 13.2346 + 7.64101i 0.491860 + 0.283976i
\(725\) 13.6510 28.6093i 0.506986 1.06252i
\(726\) −5.22765 1.40074i −0.194016 0.0519865i
\(727\) −12.0708 + 12.0708i −0.447682 + 0.447682i −0.894583 0.446901i \(-0.852528\pi\)
0.446901 + 0.894583i \(0.352528\pi\)
\(728\) −0.260620 4.66925i −0.00965921 0.173054i
\(729\) 1.00000i 0.0370370i
\(730\) 8.27886 + 7.65400i 0.306414 + 0.283287i
\(731\) −2.79847 4.84709i −0.103505 0.179276i
\(732\) 1.08828 + 4.06153i 0.0402241 + 0.150119i
\(733\) 7.35261 0.271575 0.135787 0.990738i \(-0.456644\pi\)
0.135787 + 0.990738i \(0.456644\pi\)
\(734\) 7.61596 + 28.4231i 0.281110 + 1.04912i
\(735\) 6.34435 + 10.0568i 0.234015 + 0.370951i
\(736\) −3.59705 + 3.59705i −0.132589 + 0.132589i
\(737\) 1.51315 0.405446i 0.0557375 0.0149348i
\(738\) 2.19059 8.17538i 0.0806366 0.300940i
\(739\) 6.26046 23.3644i 0.230295 0.859472i −0.749919 0.661530i \(-0.769907\pi\)
0.980214 0.197942i \(-0.0634258\pi\)
\(740\) −6.91131 + 2.14547i −0.254065 + 0.0788691i
\(741\) −14.2376 + 9.31492i −0.523030 + 0.342192i
\(742\) 11.4105 + 11.4105i 0.418891 + 0.418891i
\(743\) −20.1924 34.9742i −0.740786 1.28308i −0.952138 0.305669i \(-0.901120\pi\)
0.211351 0.977410i \(-0.432214\pi\)
\(744\) 7.65040 4.41696i 0.280477 0.161934i
\(745\) 5.44765 + 8.63538i 0.199586 + 0.316376i
\(746\) −7.46697 7.46697i −0.273385 0.273385i
\(747\) −1.77121 1.02261i −0.0648053 0.0374154i
\(748\) 14.2156 + 8.20737i 0.519773 + 0.300091i
\(749\) 12.3215 + 12.3215i 0.450218 + 0.450218i
\(750\) −4.41559 + 10.2714i −0.161235 + 0.375060i
\(751\) 26.0554 15.0431i 0.950775 0.548930i 0.0574532 0.998348i \(-0.481702\pi\)
0.893322 + 0.449418i \(0.148369\pi\)
\(752\) 5.80474 + 10.0541i 0.211677 + 0.366636i
\(753\) 11.9024 + 11.9024i 0.433748 + 0.433748i
\(754\) 22.8231 1.27390i 0.831170 0.0463927i
\(755\) 19.6068 37.2599i 0.713565 1.35603i
\(756\) −0.335697 + 1.25284i −0.0122092 + 0.0455653i
\(757\) 7.43615 27.7521i 0.270272 1.00867i −0.688673 0.725072i \(-0.741806\pi\)
0.958944 0.283595i \(-0.0915271\pi\)
\(758\) 6.58577 1.76465i 0.239206 0.0640950i
\(759\) 8.50301 8.50301i 0.308640 0.308640i
\(760\) 8.92421 5.62986i 0.323715 0.204216i
\(761\) 5.23591 + 19.5407i 0.189802 + 0.708350i 0.993551 + 0.113382i \(0.0361685\pi\)
−0.803750 + 0.594968i \(0.797165\pi\)
\(762\) 13.3995 0.485414
\(763\) 1.04767 + 3.90998i 0.0379284 + 0.141551i
\(764\) 2.84601 + 4.92943i 0.102965 + 0.178341i
\(765\) −0.608476 15.5153i −0.0219995 0.560956i
\(766\) 19.8357i 0.716692i
\(767\) −16.1926 14.4805i −0.584680 0.522861i
\(768\) 0.707107 0.707107i 0.0255155 0.0255155i
\(769\) −1.45984 0.391163i −0.0526431 0.0141057i 0.232401 0.972620i \(-0.425342\pi\)
−0.285045 + 0.958514i \(0.592008\pi\)