Properties

Label 390.2.bd.b.253.1
Level $390$
Weight $2$
Character 390.253
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 253.1
Root \(0.117630 + 0.893490i\) of defining polynomial
Character \(\chi\) \(=\) 390.253
Dual form 390.2.bd.b.37.1

$q$-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 \(\left(\mathbb{Z}/390\mathbb{Z}\right)^\times\).

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{12}\right)\)

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 0.962164 0.272470i \(-0.0878406\pi\)
−0.717048 + 0.697024i \(0.754507\pi\)
\(8\) 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 0.102399 0.994743i \(-0.467348\pi\)
0.586052 + 0.810273i \(0.300681\pi\)
\(12\) −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 −0.303027 0.952982i \(-0.597997\pi\)
0.738920 0.673793i \(-0.235336\pi\)
\(18\) −1.00000 −0.235702
\(19\) 1.22132 4.55804i 0.280191 1.04569i −0.672091 0.740468i \(-0.734604\pi\)
0.952282 0.305218i \(-0.0987295\pi\)
\(20\) −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 −0.956154 0.292865i \(-0.905391\pi\)
0.681621 0.731705i \(-0.261275\pi\)
\(24\) 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 0.913975 0.405770i \(-0.132997\pi\)
0.105580 + 0.994411i \(0.466330\pi\)
\(30\) −1.89119 1.19306i −0.345283 0.217822i
\(31\) 6.24653 6.24653i 1.12191 1.12191i 0.130455 0.991454i \(-0.458356\pi\)
0.991454 0.130455i \(-0.0416439\pi\)
\(32\) 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 −0.701807 0.712367i \(-0.747623\pi\)
0.967832 + 0.251599i \(0.0809563\pi\)
\(38\) −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 −0.895950 0.444155i \(-0.853504\pi\)
0.553838 0.832625i \(-0.313163\pi\)
\(42\) 0.335697 + 1.25284i 0.0517991 + 0.193317i
\(43\) −0.778549 0.208612i −0.118728 0.0318130i 0.198966 0.980006i \(-0.436242\pi\)
−0.317694 + 0.948193i \(0.602908\pi\)
\(44\) 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 0.971542 + 0.236869i \(0.0761211\pi\)
0.236869 + 0.971542i \(0.423879\pi\)
\(54\) 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 0.616905 0.787038i \(-0.288386\pi\)
0.140737 + 0.990047i \(0.455053\pi\)
\(60\) 1.04129 + 1.97882i 0.134430 + 0.255464i
\(61\) 2.10240 + 3.64147i 0.269185 + 0.466243i 0.968652 0.248423i \(-0.0799123\pi\)
−0.699466 + 0.714665i \(0.746579\pi\)
\(62\) −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 0.534647 0.845075i \(-0.320445\pi\)
−0.464533 + 0.885556i \(0.653778\pi\)
\(68\) 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 −0.556374 0.830932i \(-0.687808\pi\)
−0.897300 + 0.441421i \(0.854475\pi\)
\(72\) −0.500000 0.866025i −0.0589256 0.102062i
\(73\) 5.04229i 0.590155i −0.955473 0.295077i \(-0.904655\pi\)
0.955473 0.295077i \(-0.0953454\pi\)
\(74\) −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 \(0.268763\pi\)
−0.664222 + 0.747536i \(0.731237\pi\)
\(80\) 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 0.999764 0.0217223i \(-0.00691497\pi\)
−0.876682 + 0.481070i \(0.840248\pi\)
\(90\) 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 −0.212484 0.977165i \(-0.568155\pi\)
0.740007 + 0.672599i \(0.234822\pi\)
\(98\) −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 0.964215 0.265123i \(-0.0854126\pi\)
0.252504 + 0.967596i \(0.418746\pi\)
\(102\) 3.47199 6.01366i 0.343778 0.595441i
\(103\) −0.223293 + 0.223293i −0.0220017 + 0.0220017i −0.718022 0.696020i \(-0.754952\pi\)
0.696020 + 0.718022i \(0.254952\pi\)
\(104\) 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 −0.902618 0.430442i \(-0.858358\pi\)
0.566469 0.824083i \(-0.308309\pi\)
\(108\) −0.965926 0.258819i −0.0929463 0.0249049i
\(109\) −2.20681 2.20681i −0.211374 0.211374i 0.593477 0.804851i \(-0.297755\pi\)
−0.804851 + 0.593477i \(0.797755\pi\)
\(110\) 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 0.724911 + 0.688843i \(0.241881\pi\)
−0.972212 + 0.234100i \(0.924786\pi\)
\(114\) 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 0.366137 0.930561i \(-0.380680\pi\)
0.782364 + 0.622821i \(0.214013\pi\)
\(128\) 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 0.918277 0.395939i \(-0.129581\pi\)
−0.802032 + 0.597282i \(0.796248\pi\)
\(138\) 5.08700i 0.433034i
\(139\) 1.84444 1.06489i 0.156443 0.0903225i −0.419735 0.907647i \(-0.637877\pi\)
0.576178 + 0.817324i \(0.304544\pi\)
\(140\) 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 −0.997289 0.0735898i \(-0.976554\pi\)
0.900472 + 0.434914i \(0.143221\pi\)
\(150\) 3.24779 + 3.80156i 0.265181 + 0.310396i
\(151\) −13.3144 13.3144i −1.08351 1.08351i −0.996179 0.0873303i \(-0.972166\pi\)
−0.0873303 0.996179i \(-0.527834\pi\)
\(152\) −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 −0.146924 0.989148i \(-0.546937\pi\)
0.989148 + 0.146924i \(0.0469372\pi\)
\(158\) 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 −0.558428 0.829553i \(-0.688595\pi\)
0.439200 + 0.898390i \(0.355262\pi\)
\(164\) 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 −0.467379 0.884057i \(-0.654802\pi\)
0.999305 0.0372665i \(-0.0118650\pi\)
\(168\) −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 0.570049 0.821611i \(-0.306924\pi\)
0.0828711 + 0.996560i \(0.473591\pi\)
\(174\) 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 −0.914683 0.404172i \(-0.867560\pi\)
0.807364 + 0.590053i \(0.200893\pi\)
\(180\) −1.51796 1.64189i −0.113142 0.122379i
\(181\) 15.2820i 1.13590i −0.823062 0.567952i \(-0.807736\pi\)
0.823062 0.567952i \(-0.192264\pi\)
\(182\) 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 0.744499 0.667624i \(-0.232689\pi\)
−0.950429 + 0.310943i \(0.899355\pi\)
\(192\) 0.965926 0.258819i 0.0697097 0.0186787i
\(193\) 3.75328 + 2.16696i 0.270167 + 0.155981i 0.628963 0.777435i \(-0.283479\pi\)
−0.358797 + 0.933416i \(0.616813\pi\)
\(194\) −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 0.512706 0.858564i \(-0.328643\pi\)
−0.487186 + 0.873298i \(0.661977\pi\)
\(198\) −2.28334 + 0.611818i −0.162270 + 0.0434800i
\(199\) −8.50824 14.7367i −0.603133 1.04466i −0.992343 0.123509i \(-0.960585\pi\)
0.389210 0.921149i \(-0.372748\pi\)
\(200\) 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 −0.611131 0.791530i \(-0.709285\pi\)
0.991050 + 0.133490i \(0.0426184\pi\)
\(212\) −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 −0.592529 0.805549i \(-0.701870\pi\)
0.993891 + 0.110370i \(0.0352037\pi\)
\(224\) 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 −0.770060 0.637971i \(-0.779774\pi\)
0.167469 + 0.985877i \(0.446440\pi\)
\(228\) −4.08663 + 2.35942i −0.270644 + 0.156256i
\(229\) −8.70469 + 8.70469i −0.575222 + 0.575222i −0.933583 0.358361i \(-0.883336\pi\)
0.358361 + 0.933583i \(0.383336\pi\)
\(230\) 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 −0.204973 + 0.978768i \(0.565711\pi\)
−0.978768 + 0.204973i \(0.934289\pi\)
\(234\) 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 0.947209 0.320615i \(-0.103890\pi\)
−0.320615 + 0.947209i \(0.603890\pi\)
\(240\) −1.19306 + 1.89119i −0.0770118 + 0.122076i
\(241\) −3.00649 + 11.2204i −0.193665 + 0.722769i 0.798943 + 0.601407i \(0.205393\pi\)
−0.992608 + 0.121362i \(0.961274\pi\)
\(242\) 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 −0.883673 0.468105i \(-0.844937\pi\)
−0.0364452 + 0.999336i \(0.511603\pi\)
\(252\) 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 −0.0666611 0.997776i \(-0.521235\pi\)
0.441158 + 0.897430i \(0.354568\pi\)
\(258\) −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 0.146534 0.989206i \(-0.453188\pi\)
0.621505 + 0.783410i \(0.286522\pi\)
\(264\) 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 −0.494357 0.869259i \(-0.664596\pi\)
0.505622 + 0.862755i \(0.331263\pi\)
\(270\) −2.23435 0.0876265i −0.135978 0.00533278i
\(271\) 1.83744 0.492340i 0.111616 0.0299075i −0.202578 0.979266i \(-0.564932\pi\)
0.314195 + 0.949358i \(0.398265\pi\)
\(272\) 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 0.480781 + 0.876841i \(0.340353\pi\)
−0.854789 + 0.518976i \(0.826314\pi\)
\(278\) −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 0.477321 0.878729i \(-0.341608\pi\)
−0.878729 + 0.477321i \(0.841608\pi\)
\(282\) −11.2139 3.00476i −0.667778 0.178931i
\(283\) −3.36636 12.5634i −0.200109 0.746818i −0.990885 0.134712i \(-0.956989\pi\)
0.790775 0.612106i \(-0.209678\pi\)
\(284\) −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 −0.311532 0.950236i \(-0.600842\pi\)
0.667162 + 0.744912i \(0.267509\pi\)
\(294\) 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 \(0.328373\pi\)
−0.513433 + 0.858129i \(0.671627\pi\)
\(312\) −3.42528 1.12582i −0.193918 0.0637372i
\(313\) 16.4458 + 16.4458i 0.929571 + 0.929571i 0.997678 0.0681069i \(-0.0216959\pi\)
−0.0681069 + 0.997678i \(0.521696\pi\)
\(314\) −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 \(0.137811\pi\)
−0.907734 + 0.419547i \(0.862189\pi\)
\(318\) 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 0.549268 0.835646i \(-0.314907\pi\)
0.0578568 + 0.998325i \(0.481573\pi\)
\(332\) −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 0.993497 + 0.113854i \(0.0363196\pi\)
0.113854 + 0.993497i \(0.463680\pi\)
\(338\) −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 0.600920 0.799309i \(-0.294801\pi\)
0.120757 + 0.992682i \(0.461468\pi\)
\(348\) −1.64087 6.12383i −0.0879601 0.328272i
\(349\) 7.74172 + 28.8925i 0.414405 + 1.54658i 0.786025 + 0.618195i \(0.212136\pi\)
−0.371620 + 0.928385i \(0.621198\pi\)
\(350\) 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 −0.248608 0.968604i \(-0.579973\pi\)
0.963140 0.269001i \(-0.0866934\pi\)
\(354\) 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 −0.843674 0.536855i \(-0.819612\pi\)
0.536855 + 0.843674i \(0.319612\pi\)
\(360\) 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 0.817393 + 0.576080i \(0.195418\pi\)
−0.419844 + 0.907596i \(0.637915\pi\)
\(368\) 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 −0.858371 0.513029i \(-0.828523\pi\)
0.999886 0.0151105i \(-0.00481002\pi\)
\(374\) −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 −0.423964 0.905679i \(-0.639362\pi\)
0.0856759 + 0.996323i \(0.472695\pi\)
\(380\) −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 0.999969 + 0.00784427i \(0.00249694\pi\)
−0.493191 + 0.869921i \(0.664170\pi\)
\(384\) −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 0.713385 0.700772i \(-0.247161\pi\)
−0.963579 + 0.267424i \(0.913828\pi\)
\(398\) 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 0.218250 0.975893i \(-0.429965\pi\)
0.676956 + 0.736023i \(0.263299\pi\)
\(402\) 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 −0.874362 0.485274i \(-0.838720\pi\)
0.999857 + 0.0169217i \(0.00538659\pi\)
\(410\) 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 0.346291 0.938127i \(-0.387441\pi\)
−0.639296 + 0.768960i \(0.720774\pi\)
\(420\) −1.54744 + 2.45294i −0.0755074 + 0.119691i
\(421\) −19.5137 + 19.5137i −0.951041 + 0.951041i −0.998856 0.0478153i \(-0.984774\pi\)
0.0478153 + 0.998856i \(0.484774\pi\)
\(422\) −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 0.978170 0.207806i \(-0.0666322\pi\)
−0.951023 + 0.309120i \(0.899966\pi\)
\(432\) −0.258819 0.965926i −0.0124524 0.0464731i
\(433\) −34.9027 9.35214i −1.67731 0.449435i −0.710246 0.703953i \(-0.751417\pi\)
−0.967068 + 0.254518i \(0.918083\pi\)
\(434\) −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 −0.992728 0.120377i \(-0.961590\pi\)
0.600614 + 0.799539i \(0.294923\pi\)
\(440\) −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 −0.927353 0.374187i \(-0.877922\pi\)
−0.374187 0.927353i \(-0.622078\pi\)
\(444\) −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 0.998915 0.0465717i \(-0.0148296\pi\)
0.841800 + 0.539790i \(0.181496\pi\)
\(450\) −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 0.636269 0.771467i \(-0.280477\pi\)
−0.349976 + 0.936759i \(0.613810\pi\)
\(458\) 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 −0.112774 0.993621i \(-0.535974\pi\)
−0.594475 + 0.804114i \(0.702640\pi\)
\(462\) 1.53302 + 2.65526i 0.0713224 + 0.123534i
\(463\) 13.2887i 0.617577i −0.951131 0.308788i \(-0.900077\pi\)
0.951131 0.308788i \(-0.0999235\pi\)
\(464\) −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 0.921523 0.388324i \(-0.126946\pi\)
−0.388324 + 0.921523i \(0.626946\pi\)
\(468\) −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 −0.811413 0.584473i \(-0.801301\pi\)
0.410468 0.911875i \(-0.365365\pi\)
\(480\) 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 0.542383 0.840131i \(-0.317522\pi\)
0.998767 0.0496516i \(-0.0158111\pi\)
\(488\) 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 0.995668 + 0.0929826i \(0.0296401\pi\)
0.578359 + 0.815782i \(0.303693\pi\)
\(492\) −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 0.292566 0.956245i \(-0.405491\pi\)
−0.956245 + 0.292566i \(0.905491\pi\)
\(500\) 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 −0.895813 0.444431i \(-0.853406\pi\)
0.998012 + 0.0630184i \(0.0200727\pi\)
\(504\) 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 0.0573867 0.998352i \(-0.481723\pi\)
0.548874 + 0.835905i \(0.315057\pi\)
\(510\) −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 −0.412997 0.910733i \(-0.635518\pi\)
0.0977007 + 0.995216i \(0.468851\pi\)
\(524\) −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 0.868374 0.495910i \(-0.165165\pi\)
−0.495910 + 0.868374i \(0.665165\pi\)
\(542\) −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 −0.774800 0.632207i \(-0.782149\pi\)
0.632207 + 0.774800i \(0.282149\pi\)
\(548\) −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 0.442244 + 0.896895i \(0.354183\pi\)
−0.997856 + 0.0654529i \(0.979151\pi\)
\(558\) −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 0.236918 0.971530i \(-0.423863\pi\)
−0.280588 + 0.959828i \(0.590529\pi\)
\(564\) 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 −0.839272 0.543711i \(-0.817019\pi\)
0.890504 + 0.454975i \(0.150352\pi\)
\(570\) −7.74778 + 7.16301i −0.324519 + 0.300026i
\(571\) 20.9592i 0.877117i −0.898703 0.438558i \(-0.855489\pi\)
0.898703 0.438558i \(-0.144511\pi\)
\(572\) −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 \(0.195897\pi\)
−0.816527 + 0.577308i \(0.804103\pi\)
\(578\) 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 0.491543 0.870853i \(-0.336433\pi\)
−0.508409 + 0.861116i \(0.669766\pi\)
\(588\) −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 \(0.218809\pi\)
−0.772893 + 0.634536i \(0.781191\pi\)
\(594\) 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 \(0.124522\pi\)
−0.924453 + 0.381296i \(0.875478\pi\)
\(600\) −1.66835 + 4.71345i −0.0681103 + 0.192426i
\(601\) 6.45779 11.1852i 0.263419 0.456255i −0.703729 0.710468i \(-0.748483\pi\)
0.967148 + 0.254213i \(0.0818166\pi\)
\(602\) −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 0.183110 0.983092i \(-0.441383\pi\)
−0.332968 + 0.942938i \(0.608050\pi\)
\(608\) −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 −0.999937 0.0111815i \(-0.996441\pi\)
0.509652 + 0.860381i \(0.329774\pi\)
\(614\) 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 −0.138691 0.990336i \(-0.544289\pi\)
0.788311 + 0.615278i \(0.210956\pi\)
\(618\) −0.273477 + 0.157892i −0.0110009 + 0.00635135i
\(619\) −16.3696 + 16.3696i −0.657949 + 0.657949i −0.954894 0.296946i \(-0.904032\pi\)
0.296946 + 0.954894i \(0.404032\pi\)
\(620\) −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 −0.0431996 + 0.999066i \(0.513755\pi\)
−0.462121 + 0.886817i \(0.652912\pi\)
\(632\) 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 0.243155 0.969987i \(-0.421817\pi\)
0.961611 + 0.274415i \(0.0884842\pi\)
\(642\) 13.4347i 0.530225i
\(643\) 8.61155 + 14.9156i 0.339606 + 0.588215i 0.984359 0.176176i \(-0.0563728\pi\)
−0.644752 + 0.764392i \(0.723039\pi\)
\(644\) 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 0.0963367 0.995349i \(-0.469287\pi\)
0.581104 + 0.813829i \(0.302621\pi\)
\(648\) −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 0.0477492 0.998859i \(-0.484795\pi\)
0.540782 + 0.841163i \(0.318129\pi\)
\(654\) −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 −0.765623 0.643290i \(-0.777569\pi\)
0.174294 + 0.984694i \(0.444236\pi\)
\(660\) 3.58829 + 3.88122i 0.139674 + 0.151076i
\(661\) −37.7494 + 10.1149i −1.46828 + 0.393425i −0.902341 0.431022i \(-0.858153\pi\)
−0.565940 + 0.824447i \(0.691486\pi\)
\(662\) −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 −0.395546 0.918446i \(-0.629445\pi\)
−0.116670 0.993171i \(-0.537222\pi\)
\(674\) −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 −0.523495 0.852029i \(-0.675372\pi\)
0.852029 + 0.523495i \(0.175372\pi\)
\(678\) −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 −0.279081 0.960268i \(-0.590030\pi\)
0.692076 + 0.721825i \(0.256696\pi\)
\(684\) 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 0.904707 + 0.426034i \(0.140090\pi\)
−0.570482 + 0.821310i \(0.693244\pi\)
\(692\) 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 \(-0.733350\pi\)
0.669170 0.743109i \(-0.266650\pi\)
\(702\) −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 0.513533 0.858070i \(-0.328336\pi\)
0.0156976 + 0.999877i \(0.495003\pi\)
\(710\) −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 0.976853 + 0.213909i \(0.0686198\pi\)
−0.303176 + 0.952935i \(0.598047\pi\)
\(720\) 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 0.446901 0.894583i \(-0.352528\pi\)
−0.894583 + 0.446901i \(0.852528\pi\)
\(728\) −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 0.980214 + 0.197942i \(0.0634258\pi\)
−0.749919 + 0.661530i \(0.769907\pi\)
\(740\) −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 0.211351 + 0.977410i \(0.432214\pi\)
−0.952138 + 0.305669i \(0.901120\pi\)
\(744\) 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 0.893322 0.449418i \(-0.148369\pi\)
0.0574532 + 0.998348i \(0.481702\pi\)
\(752\) 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 0.958944 + 0.283595i \(0.0915271\pi\)
−0.688673 + 0.725072i \(0.741806\pi\)
\(758\) 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 −0.803750 0.594968i \(-0.797165\pi\)
0.993551 0.113382i \(-0.0361685\pi\)
\(762\) 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 −0.285045 0.958514i \(-0.592008\pi\)
0.232401 + 0.972620i