Properties

Label 390.2.bn.b.193.4
Level $390$
Weight $2$
Character 390.193
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.bn (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 193.4
Root \(-0.424637 - 3.22544i\) of defining polynomial
Character \(\chi\) \(=\) 390.193
Dual form 390.2.bn.b.97.4

$q$-expansion

\(f(q)\) \(=\) \(q+(0.500000 + 0.866025i) q^{2} +(0.258819 - 0.965926i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.662933 - 2.13554i) q^{5} +(0.965926 - 0.258819i) q^{6} +(-1.12326 - 0.648516i) q^{7} -1.00000 q^{8} +(-0.866025 - 0.500000i) q^{9} +O(q^{10})\) \(q+(0.500000 + 0.866025i) q^{2} +(0.258819 - 0.965926i) q^{3} +(-0.500000 + 0.866025i) q^{4} +(0.662933 - 2.13554i) q^{5} +(0.965926 - 0.258819i) q^{6} +(-1.12326 - 0.648516i) q^{7} -1.00000 q^{8} +(-0.866025 - 0.500000i) q^{9} +(2.18090 - 0.493652i) q^{10} +(2.28334 + 0.611818i) q^{11} +(0.707107 + 0.707107i) q^{12} +(3.01718 - 1.97399i) q^{13} -1.29703i q^{14} +(-1.89119 - 1.19306i) q^{15} +(-0.500000 - 0.866025i) q^{16} +(6.70736 - 1.79723i) q^{17} -1.00000i q^{18} +(-1.22132 - 4.55804i) q^{19} +(1.51796 + 1.64189i) q^{20} +(-0.917141 + 0.917141i) q^{21} +(0.611818 + 2.28334i) q^{22} +(-4.91367 - 1.31661i) 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} +(1.12326 - 0.648516i) q^{28} +(-5.49047 + 3.16993i) q^{29} +(0.0876265 - 2.23435i) q^{30} +(6.24653 + 6.24653i) q^{31} +(0.500000 - 0.866025i) q^{32} +(1.18194 - 2.04718i) q^{33} +(4.91013 + 4.91013i) q^{34} +(-2.12958 + 1.96885i) q^{35} +(0.866025 - 0.500000i) q^{36} +(2.80275 - 1.61817i) 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} +(-1.25284 - 0.335697i) q^{42} +(-0.208612 - 0.778549i) q^{43} +(-1.67152 + 1.67152i) q^{44} +(-1.64189 + 1.51796i) q^{45} +(-1.31661 - 4.91367i) q^{46} +11.6095i q^{47} +(-0.965926 + 0.258819i) q^{48} +(-2.65885 - 4.60527i) q^{49} +(0.391577 - 4.98464i) q^{50} -6.94397i q^{51} +(0.200935 + 3.59995i) q^{52} +(8.79736 + 8.79736i) q^{53} +(-0.965926 - 0.258819i) q^{54} +(2.82026 - 4.47055i) q^{55} +(1.12326 + 0.648516i) q^{56} -4.71883 q^{57} +(-5.49047 - 3.16993i) q^{58} +(-5.81956 + 1.55935i) q^{59} +(1.97882 - 1.04129i) q^{60} +(2.10240 - 3.64147i) q^{61} +(-2.28639 + 8.53291i) q^{62} +(0.648516 + 1.12326i) q^{63} +1.00000 q^{64} +(-2.21534 - 7.75192i) q^{65} +2.36388 q^{66} +(-0.331346 - 0.573907i) q^{67} +(-1.79723 + 6.70736i) q^{68} +(-2.54350 + 4.40547i) q^{69} +(-2.76986 - 0.859846i) q^{70} +(-12.2489 + 3.28208i) q^{71} +(0.866025 + 0.500000i) q^{72} -5.04229 q^{73} +(2.80275 + 1.61817i) q^{74} +(-3.80156 + 3.24779i) q^{75} +(4.55804 + 1.22132i) q^{76} +(-2.16801 - 2.16801i) q^{77} +(2.40346 - 2.68763i) q^{78} +13.2885i q^{79} +(-2.18090 + 0.493652i) q^{80} +(0.500000 + 0.866025i) q^{81} +(-8.17538 + 2.19059i) q^{82} -2.04522i q^{83} +(-0.335697 - 1.25284i) q^{84} +(0.608476 - 15.5153i) q^{85} +(0.569937 - 0.569937i) q^{86} +(1.64087 + 6.12383i) q^{87} +(-2.28334 - 0.611818i) 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} +(7.65040 - 4.41696i) q^{93} +(-10.0541 + 5.80474i) q^{94} +(-10.5435 - 0.413495i) q^{95} +(-0.707107 - 0.707107i) q^{96} +(2.99963 - 5.19551i) q^{97} +(2.65885 - 4.60527i) q^{98} +(-1.67152 - 1.67152i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8}+O(q^{10}) \) Copy content Toggle raw display \( 16 q + 8 q^{2} - 8 q^{4} + 24 q^{7} - 16 q^{8} + 12 q^{11} + 8 q^{13} - 8 q^{15} - 8 q^{16} - 4 q^{17} - 4 q^{19} + 4 q^{23} + 4 q^{25} + 4 q^{26} - 24 q^{28} - 48 q^{29} - 4 q^{30} + 16 q^{31} + 8 q^{32} + 16 q^{33} - 20 q^{34} - 12 q^{35} + 12 q^{37} + 4 q^{38} + 4 q^{39} - 12 q^{41} + 20 q^{43} - 12 q^{44} + 8 q^{45} - 4 q^{46} - 4 q^{49} - 16 q^{50} - 4 q^{52} + 32 q^{53} + 16 q^{55} - 24 q^{56} - 8 q^{57} - 48 q^{58} + 4 q^{59} + 4 q^{60} + 4 q^{61} - 4 q^{62} + 4 q^{63} + 16 q^{64} - 8 q^{65} + 32 q^{66} - 28 q^{67} - 16 q^{68} + 4 q^{69} - 36 q^{71} + 32 q^{73} + 12 q^{74} - 24 q^{75} + 8 q^{76} + 4 q^{77} + 20 q^{78} + 8 q^{81} - 24 q^{82} + 52 q^{85} + 16 q^{86} + 36 q^{87} - 12 q^{88} - 24 q^{89} + 4 q^{90} - 8 q^{92} + 36 q^{94} - 40 q^{95} - 4 q^{97} + 4 q^{98} - 12 q^{99}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{7}{12}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) 0.500000 + 0.866025i 0.353553 + 0.612372i
\(3\) 0.258819 0.965926i 0.149429 0.557678i
\(4\) −0.500000 + 0.866025i −0.250000 + 0.433013i
\(5\) 0.662933 2.13554i 0.296473 0.955041i
\(6\) 0.965926 0.258819i 0.394338 0.105662i
\(7\) −1.12326 0.648516i −0.424554 0.245116i 0.272470 0.962164i \(-0.412159\pi\)
−0.697024 + 0.717048i \(0.745493\pi\)
\(8\) −1.00000 −0.353553
\(9\) −0.866025 0.500000i −0.288675 0.166667i
\(10\) 2.18090 0.493652i 0.689660 0.156106i
\(11\) 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
\(13\) 3.01718 1.97399i 0.836815 0.547486i
\(14\) 1.29703i 0.346647i
\(15\) −1.89119 1.19306i −0.488303 0.308047i
\(16\) −0.500000 0.866025i −0.125000 0.216506i
\(17\) 6.70736 1.79723i 1.62677 0.435893i 0.673793 0.738920i \(-0.264664\pi\)
0.952982 + 0.303027i \(0.0979974\pi\)
\(18\) 1.00000i 0.235702i
\(19\) −1.22132 4.55804i −0.280191 1.04569i −0.952282 0.305218i \(-0.901271\pi\)
0.672091 0.740468i \(-0.265396\pi\)
\(20\) 1.51796 + 1.64189i 0.339427 + 0.367137i
\(21\) −0.917141 + 0.917141i −0.200137 + 0.200137i
\(22\) 0.611818 + 2.28334i 0.130440 + 0.486809i
\(23\) −4.91367 1.31661i −1.02457 0.274533i −0.292865 0.956154i \(-0.594609\pi\)
−0.731705 + 0.681621i \(0.761275\pi\)
\(24\) −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
\(28\) 1.12326 0.648516i 0.212277 0.122558i
\(29\) −5.49047 + 3.16993i −1.01956 + 0.588640i −0.913975 0.405770i \(-0.867003\pi\)
−0.105580 + 0.994411i \(0.533670\pi\)
\(30\) 0.0876265 2.23435i 0.0159983 0.407935i
\(31\) 6.24653 + 6.24653i 1.12191 + 1.12191i 0.991454 + 0.130455i \(0.0416439\pi\)
0.130455 + 0.991454i \(0.458356\pi\)
\(32\) 0.500000 0.866025i 0.0883883 0.153093i
\(33\) 1.18194 2.04718i 0.205750 0.356369i
\(34\) 4.91013 + 4.91013i 0.842081 + 0.842081i
\(35\) −2.12958 + 1.96885i −0.359965 + 0.332796i
\(36\) 0.866025 0.500000i 0.144338 0.0833333i
\(37\) 2.80275 1.61817i 0.460769 0.266025i −0.251599 0.967832i \(-0.580956\pi\)
0.712367 + 0.701807i \(0.247623\pi\)
\(38\) 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 \(0.853504\pi\)
\(42\) −1.25284 0.335697i −0.193317 0.0517991i
\(43\) −0.208612 0.778549i −0.0318130 0.118728i 0.948193 0.317694i \(-0.102908\pi\)
−0.980006 + 0.198966i \(0.936242\pi\)
\(44\) −1.67152 + 1.67152i −0.251991 + 0.251991i
\(45\) −1.64189 + 1.51796i −0.244758 + 0.226285i
\(46\) −1.31661 4.91367i −0.194124 0.724480i
\(47\) 11.6095i 1.69342i 0.532056 + 0.846709i \(0.321419\pi\)
−0.532056 + 0.846709i \(0.678581\pi\)
\(48\) −0.965926 + 0.258819i −0.139419 + 0.0373573i
\(49\) −2.65885 4.60527i −0.379836 0.657895i
\(50\) 0.391577 4.98464i 0.0553773 0.704935i
\(51\) 6.94397i 0.972351i
\(52\) 0.200935 + 3.59995i 0.0278647 + 0.499223i
\(53\) 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
\(55\) 2.82026 4.47055i 0.380284 0.602809i
\(56\) 1.12326 + 0.648516i 0.150102 + 0.0866617i
\(57\) −4.71883 −0.625025
\(58\) −5.49047 3.16993i −0.720934 0.416232i
\(59\) −5.81956 + 1.55935i −0.757642 + 0.203010i −0.616905 0.787038i \(-0.711614\pi\)
−0.140737 + 0.990047i \(0.544947\pi\)
\(60\) 1.97882 1.04129i 0.255464 0.134430i
\(61\) 2.10240 3.64147i 0.269185 0.466243i −0.699466 0.714665i \(-0.746579\pi\)
0.968652 + 0.248423i \(0.0799123\pi\)
\(62\) −2.28639 + 8.53291i −0.290372 + 1.08368i
\(63\) 0.648516 + 1.12326i 0.0817054 + 0.141518i
\(64\) 1.00000 0.125000
\(65\) −2.21534 7.75192i −0.274779 0.961507i
\(66\) 2.36388 0.290974
\(67\) −0.331346 0.573907i −0.0404803 0.0701140i 0.845075 0.534647i \(-0.179555\pi\)
−0.885556 + 0.464533i \(0.846222\pi\)
\(68\) −1.79723 + 6.70736i −0.217946 + 0.813387i
\(69\) −2.54350 + 4.40547i −0.306201 + 0.530357i
\(70\) −2.76986 0.859846i −0.331062 0.102771i
\(71\) −12.2489 + 3.28208i −1.45367 + 0.389511i −0.897300 0.441421i \(-0.854475\pi\)
−0.556374 + 0.830932i \(0.687808\pi\)
\(72\) 0.866025 + 0.500000i 0.102062 + 0.0589256i
\(73\) −5.04229 −0.590155 −0.295077 0.955473i \(-0.595345\pi\)
−0.295077 + 0.955473i \(0.595345\pi\)
\(74\) 2.80275 + 1.61817i 0.325813 + 0.188108i
\(75\) −3.80156 + 3.24779i −0.438967 + 0.375022i
\(76\) 4.55804 + 1.22132i 0.522843 + 0.140095i
\(77\) −2.16801 2.16801i −0.247068 0.247068i
\(78\) 2.40346 2.68763i 0.272139 0.304314i
\(79\) 13.2885i 1.49507i 0.664222 + 0.747536i \(0.268763\pi\)
−0.664222 + 0.747536i \(0.731237\pi\)
\(80\) −2.18090 + 0.493652i −0.243832 + 0.0551919i
\(81\) 0.500000 + 0.866025i 0.0555556 + 0.0962250i
\(82\) −8.17538 + 2.19059i −0.902820 + 0.241910i
\(83\) 2.04522i 0.224492i −0.993680 0.112246i \(-0.964196\pi\)
0.993680 0.112246i \(-0.0358045\pi\)
\(84\) −0.335697 1.25284i −0.0366275 0.136696i
\(85\) 0.608476 15.5153i 0.0659985 1.68287i
\(86\) 0.569937 0.569937i 0.0614579 0.0614579i
\(87\) 1.64087 + 6.12383i 0.175920 + 0.656543i
\(88\) −2.28334 0.611818i −0.243404 0.0652200i
\(89\) −1.16115 + 4.33348i −0.123082 + 0.459348i −0.999764 0.0217223i \(-0.993085\pi\)
0.876682 + 0.481070i \(0.159752\pi\)
\(90\) −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
\(93\) 7.65040 4.41696i 0.793310 0.458018i
\(94\) −10.0541 + 5.80474i −1.03700 + 0.598714i
\(95\) −10.5435 0.413495i −1.08174 0.0424237i
\(96\) −0.707107 0.707107i −0.0721688 0.0721688i
\(97\) 2.99963 5.19551i 0.304566 0.527524i −0.672599 0.740007i \(-0.734822\pi\)
0.977165 + 0.212484i \(0.0681553\pi\)
\(98\) 2.65885 4.60527i 0.268585 0.465202i
\(99\) −1.67152 1.67152i −0.167994 0.167994i
\(100\) 4.51262 2.15321i 0.451262 0.215321i
\(101\) 12.2279 7.05976i 1.21672 0.702473i 0.252504 0.967596i \(-0.418746\pi\)
0.964215 + 0.265123i \(0.0854126\pi\)
\(102\) 6.01366 3.47199i 0.595441 0.343778i
\(103\) 0.223293 0.223293i 0.0220017 0.0220017i −0.696020 0.718022i \(-0.745048\pi\)
0.718022 + 0.696020i \(0.245048\pi\)
\(104\) −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
\(107\) 12.9769 + 3.47715i 1.25453 + 0.336149i 0.824083 0.566469i \(-0.191691\pi\)
0.430442 + 0.902618i \(0.358358\pi\)
\(108\) −0.258819 0.965926i −0.0249049 0.0929463i
\(109\) 2.20681 2.20681i 0.211374 0.211374i −0.593477 0.804851i \(-0.702245\pi\)
0.804851 + 0.593477i \(0.202245\pi\)
\(110\) 5.28174 + 0.207139i 0.503594 + 0.0197499i
\(111\) −0.837624 3.12606i −0.0795038 0.296712i
\(112\) 1.29703i 0.122558i
\(113\) 9.81102 2.62886i 0.922943 0.247302i 0.234100 0.972212i \(-0.424786\pi\)
0.688843 + 0.724911i \(0.258119\pi\)
\(114\) −2.35942 4.08663i −0.220980 0.382748i
\(115\) −6.06911 + 9.62049i −0.565947 + 0.897115i
\(116\) 6.33985i 0.588640i
\(117\) −3.59995 + 0.200935i −0.332815 + 0.0185765i
\(118\) −4.26021 4.26021i −0.392184 0.392184i
\(119\) −8.69967 2.33107i −0.797498 0.213689i
\(120\) 1.89119 + 1.19306i 0.172641 + 0.108911i
\(121\) −4.68698 2.70603i −0.426089 0.246003i
\(122\) 4.20481 0.380685
\(123\) 7.32985 + 4.23189i 0.660910 + 0.381577i
\(124\) −8.53291 + 2.28639i −0.766278 + 0.205324i
\(125\) −8.77861 + 6.92358i −0.785183 + 0.619264i
\(126\) −0.648516 + 1.12326i −0.0577744 + 0.100068i
\(127\) 3.46805 12.9430i 0.307740 1.14850i −0.622821 0.782364i \(-0.714013\pi\)
0.930561 0.366137i \(-0.119320\pi\)
\(128\) 0.500000 + 0.866025i 0.0441942 + 0.0765466i
\(129\) −0.806013 −0.0709655
\(130\) 5.60569 5.79450i 0.491652 0.508211i
\(131\) −13.0083 −1.13654 −0.568272 0.822841i \(-0.692388\pi\)
−0.568272 + 0.822841i \(0.692388\pi\)
\(132\) 1.18194 + 2.04718i 0.102875 + 0.178184i
\(133\) −1.58410 + 5.91193i −0.137359 + 0.512629i
\(134\) 0.331346 0.573907i 0.0286239 0.0495781i
\(135\) 1.04129 + 1.97882i 0.0896198 + 0.170309i
\(136\) −6.70736 + 1.79723i −0.575152 + 0.154111i
\(137\) −2.35665 1.36061i −0.201342 0.116245i 0.395939 0.918277i \(-0.370419\pi\)
−0.597282 + 0.802032i \(0.703752\pi\)
\(138\) −5.08700 −0.433034
\(139\) −1.84444 1.06489i −0.156443 0.0903225i 0.419735 0.907647i \(-0.362123\pi\)
−0.576178 + 0.817324i \(0.695456\pi\)
\(140\) −0.640282 2.82869i −0.0541137 0.239068i
\(141\) 11.2139 + 3.00476i 0.944381 + 0.253046i
\(142\) −8.96680 8.96680i −0.752477 0.752477i
\(143\) 8.09695 2.66132i 0.677101 0.222550i
\(144\) 1.00000i 0.0833333i
\(145\) 3.12968 + 13.8266i 0.259906 + 1.14823i
\(146\) −2.52114 4.36675i −0.208651 0.361395i
\(147\) −5.13651 + 1.37632i −0.423652 + 0.113517i
\(148\) 3.23633i 0.266025i
\(149\) 1.18180 + 4.41052i 0.0968164 + 0.361324i 0.997289 0.0735898i \(-0.0234456\pi\)
−0.900472 + 0.434914i \(0.856779\pi\)
\(150\) −4.71345 1.66835i −0.384851 0.136221i
\(151\) −13.3144 + 13.3144i −1.08351 + 1.08351i −0.0873303 + 0.996179i \(0.527834\pi\)
−0.996179 + 0.0873303i \(0.972166\pi\)
\(152\) 1.22132 + 4.55804i 0.0990624 + 0.369706i
\(153\) −6.70736 1.79723i −0.542258 0.145298i
\(154\) 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 \(0.0469372\pi\)
\(158\) −11.5082 + 6.64424i −0.915540 + 0.528587i
\(159\) 10.7745 6.22067i 0.854475 0.493331i
\(160\) −1.51796 1.64189i −0.120006 0.129802i
\(161\) 4.66550 + 4.66550i 0.367693 + 0.367693i
\(162\) −0.500000 + 0.866025i −0.0392837 + 0.0680414i
\(163\) 0.878849 1.52221i 0.0688368 0.119229i −0.829553 0.558428i \(-0.811405\pi\)
0.898390 + 0.439200i \(0.144738\pi\)
\(164\) −5.98479 5.98479i −0.467334 0.467334i
\(165\) −3.58829 3.88122i −0.279348 0.302153i
\(166\) 1.77121 1.02261i 0.137473 0.0793699i
\(167\) 11.9061 6.87400i 0.921324 0.531926i 0.0372665 0.999305i \(-0.488135\pi\)
0.884057 + 0.467379i \(0.154802\pi\)
\(168\) 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
\(172\) 0.778549 + 0.208612i 0.0593638 + 0.0159065i
\(173\) 2.30110 + 8.58782i 0.174949 + 0.652920i 0.996560 + 0.0828711i \(0.0264090\pi\)
−0.821611 + 0.570049i \(0.806924\pi\)
\(174\) −4.48295 + 4.48295i −0.339852 + 0.339852i
\(175\) 2.79278 + 5.85301i 0.211114 + 0.442446i
\(176\) −0.611818 2.28334i −0.0461175 0.172113i
\(177\) 6.02485i 0.452855i
\(178\) −4.33348 + 1.16115i −0.324808 + 0.0870320i
\(179\) 1.43583 + 2.48692i 0.107319 + 0.185881i 0.914683 0.404172i \(-0.132440\pi\)
−0.807364 + 0.590053i \(0.799107\pi\)
\(180\) −0.493652 2.18090i −0.0367946 0.162554i
\(181\) 15.2820i 1.13590i 0.823062 + 0.567952i \(0.192264\pi\)
−0.823062 + 0.567952i \(0.807736\pi\)
\(182\) −2.56033 3.91338i −0.189784 0.290079i
\(183\) −2.97325 2.97325i −0.219789 0.219789i
\(184\) 4.91367 + 1.31661i 0.362240 + 0.0970620i
\(185\) −1.59762 7.05810i −0.117459 0.518922i
\(186\) 7.65040 + 4.41696i 0.560955 + 0.323867i
\(187\) 16.4147 1.20036
\(188\) −10.0541 5.80474i −0.733271 0.423354i
\(189\) 1.25284 0.335697i 0.0911305 0.0244184i
\(190\) −4.91367 9.33771i −0.356475 0.677429i
\(191\) −2.84601 + 4.92943i −0.205930 + 0.356681i −0.950429 0.310943i \(-0.899355\pi\)
0.744499 + 0.667624i \(0.232689\pi\)
\(192\) 0.258819 0.965926i 0.0186787 0.0697097i
\(193\) 2.16696 + 3.75328i 0.155981 + 0.270167i 0.933416 0.358797i \(-0.116813\pi\)
−0.777435 + 0.628963i \(0.783479\pi\)
\(194\) 5.99925 0.430721
\(195\) −8.06115 + 0.133509i −0.577271 + 0.00956079i
\(196\) 5.31771 0.379836
\(197\) −0.206799 0.358186i −0.0147338 0.0255197i 0.858564 0.512706i \(-0.171357\pi\)
−0.873298 + 0.487186i \(0.838023\pi\)
\(198\) 0.611818 2.28334i 0.0434800 0.162270i
\(199\) 8.50824 14.7367i 0.603133 1.04466i −0.389210 0.921149i \(-0.627252\pi\)
0.992343 0.123509i \(-0.0394147\pi\)
\(200\) 4.12104 + 2.83144i 0.291401 + 0.200213i
\(201\) −0.640111 + 0.171517i −0.0451499 + 0.0120979i
\(202\) 12.2279 + 7.05976i 0.860350 + 0.496723i
\(203\) 8.22300 0.577141
\(204\) 6.01366 + 3.47199i 0.421040 + 0.243088i
\(205\) 16.0066 + 10.0978i 1.11795 + 0.705262i
\(206\) 0.305024 + 0.0817310i 0.0212520 + 0.00569447i
\(207\) 3.59705 + 3.59705i 0.250012 + 0.250012i
\(208\) −3.21811 1.62596i −0.223136 0.112740i
\(209\) 11.1548i 0.771591i
\(210\) −1.54744 + 2.45294i −0.106784 + 0.169269i
\(211\) 5.51865 + 9.55858i 0.379919 + 0.658040i 0.991050 0.133490i \(-0.0426184\pi\)
−0.611131 + 0.791530i \(0.709285\pi\)
\(212\) −12.0174 + 3.22006i −0.825360 + 0.221154i
\(213\) 12.6810i 0.868886i
\(214\) 3.47715 + 12.9769i 0.237693 + 0.887083i
\(215\) −1.80092 0.0706281i −0.122821 0.00481680i
\(216\) 0.707107 0.707107i 0.0481125 0.0481125i
\(217\) −2.96552 11.0675i −0.201313 0.751309i
\(218\) 3.01455 + 0.807747i 0.204171 + 0.0547076i
\(219\) −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
\(223\) −10.3812 + 5.99361i −0.695179 + 0.401362i −0.805549 0.592529i \(-0.798130\pi\)
0.110370 + 0.993891i \(0.464796\pi\)
\(224\) −1.12326 + 0.648516i −0.0750512 + 0.0433308i
\(225\) 2.15321 + 4.51262i 0.143547 + 0.300841i
\(226\) 7.18217 + 7.18217i 0.477751 + 0.477751i
\(227\) −5.24173 + 9.07894i −0.347906 + 0.602591i −0.985877 0.167469i \(-0.946440\pi\)
0.637971 + 0.770060i \(0.279774\pi\)
\(228\) 2.35942 4.08663i 0.156256 0.270644i
\(229\) 8.70469 + 8.70469i 0.575222 + 0.575222i 0.933583 0.358361i \(-0.116664\pi\)
−0.358361 + 0.933583i \(0.616664\pi\)
\(230\) −11.3661 0.445756i −0.749461 0.0293923i
\(231\) −2.65526 + 1.53302i −0.174703 + 0.100865i
\(232\) 5.49047 3.16993i 0.360467 0.208116i
\(233\) 18.0690 18.0690i 1.18374 1.18374i 0.204973 0.978768i \(-0.434289\pi\)
0.978768 0.204973i \(-0.0657107\pi\)
\(234\) −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
\(237\) 12.8357 + 3.43931i 0.833768 + 0.223407i
\(238\) −2.33107 8.69967i −0.151101 0.563916i
\(239\) −9.68691 + 9.68691i −0.626594 + 0.626594i −0.947209 0.320615i \(-0.896110\pi\)
0.320615 + 0.947209i \(0.396110\pi\)
\(240\) −0.0876265 + 2.23435i −0.00565627 + 0.144227i
\(241\) −3.00649 11.2204i −0.193665 0.722769i −0.992608 0.121362i \(-0.961274\pi\)
0.798943 0.601407i \(-0.205393\pi\)
\(242\) 5.41206i 0.347900i
\(243\) 0.965926 0.258819i 0.0619642 0.0166032i
\(244\) 2.10240 + 3.64147i 0.134593 + 0.233121i
\(245\) −11.5974 + 2.62509i −0.740928 + 0.167711i
\(246\) 8.46378i 0.539631i
\(247\) −12.6825 11.3415i −0.806967 0.721645i
\(248\) −6.24653 6.24653i −0.396655 0.396655i
\(249\) −1.97553 0.529342i −0.125194 0.0335457i
\(250\) −10.3853 4.14071i −0.656824 0.261882i
\(251\) −14.5774 8.41627i −0.920118 0.531230i −0.0364452 0.999336i \(-0.511603\pi\)
−0.883673 + 0.468105i \(0.844937\pi\)
\(252\) −1.29703 −0.0817054
\(253\) −10.4140 6.01254i −0.654724 0.378005i
\(254\) 12.9430 3.46805i 0.812113 0.217605i
\(255\) −14.8291 4.60339i −0.928635 0.288275i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 1.60867 6.00363i 0.100346 0.374496i −0.897430 0.441158i \(-0.854568\pi\)
0.997776 + 0.0666611i \(0.0212346\pi\)
\(258\) −0.403007 0.698028i −0.0250901 0.0434573i
\(259\) −4.19763 −0.260828
\(260\) 7.82103 + 1.95742i 0.485040 + 0.121394i
\(261\) 6.33985 0.392427
\(262\) −6.50417 11.2655i −0.401829 0.695988i
\(263\) −3.33744 + 12.4555i −0.205795 + 0.768038i 0.783410 + 0.621505i \(0.213478\pi\)
−0.989206 + 0.146534i \(0.953188\pi\)
\(264\) −1.18194 + 2.04718i −0.0727435 + 0.125995i
\(265\) 24.6192 12.9550i 1.51234 0.795821i
\(266\) −5.91193 + 1.58410i −0.362484 + 0.0971272i
\(267\) 3.88529 + 2.24317i 0.237776 + 0.137280i
\(268\) 0.662691 0.0404803
\(269\) −0.184766 0.106675i −0.0112654 0.00650406i 0.494357 0.869259i \(-0.335404\pi\)
−0.505622 + 0.862755i \(0.668737\pi\)
\(270\) −1.19306 + 1.89119i −0.0726074 + 0.115094i
\(271\) 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
\(273\) −0.956752 + 4.57760i −0.0579052 + 0.277049i
\(274\) 2.72123i 0.164395i
\(275\) −7.67739 8.98645i −0.462964 0.541903i
\(276\) −2.54350 4.40547i −0.153101 0.265178i
\(277\) −23.2310 + 6.22473i −1.39582 + 0.374008i −0.876841 0.480781i \(-0.840353\pi\)
−0.518976 + 0.854789i \(0.673686\pi\)
\(278\) 2.12977i 0.127735i
\(279\) −2.28639 8.53291i −0.136882 0.510852i
\(280\) 2.12958 1.96885i 0.127267 0.117661i
\(281\) −6.72882 + 6.72882i −0.401408 + 0.401408i −0.878729 0.477321i \(-0.841608\pi\)
0.477321 + 0.878729i \(0.341608\pi\)
\(282\) 3.00476 + 11.2139i 0.178931 + 0.667778i
\(283\) −12.5634 3.36636i −0.746818 0.200109i −0.134712 0.990885i \(-0.543011\pi\)
−0.612106 + 0.790775i \(0.709678\pi\)
\(284\) 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
\(288\) −0.866025 + 0.500000i −0.0510310 + 0.0294628i
\(289\) 27.0362 15.6094i 1.59037 0.918199i
\(290\) −10.4093 + 9.62366i −0.611256 + 0.565121i
\(291\) −4.24211 4.24211i −0.248677 0.248677i
\(292\) 2.52114 4.36675i 0.147539 0.255545i
\(293\) −3.51457 + 6.08742i −0.205324 + 0.355631i −0.950236 0.311532i \(-0.899158\pi\)
0.744912 + 0.667162i \(0.232491\pi\)
\(294\) −3.76019 3.76019i −0.219298 0.219298i
\(295\) −0.527937 + 13.4616i −0.0307377 + 0.783766i
\(296\) −2.80275 + 1.61817i −0.162906 + 0.0940540i
\(297\) −2.04718 + 1.18194i −0.118790 + 0.0685832i
\(298\) −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
\(302\) −18.1878 4.87341i −1.04659 0.280433i
\(303\) −3.65440 13.6384i −0.209940 0.783507i
\(304\) −3.33672 + 3.33672i −0.191374 + 0.191374i
\(305\) −6.38274 6.90381i −0.365475 0.395311i
\(306\) −1.79723 6.70736i −0.102741 0.383434i
\(307\) 13.5523i 0.773472i 0.922190 + 0.386736i \(0.126398\pi\)
−0.922190 + 0.386736i \(0.873602\pi\)
\(308\) 2.96156 0.793548i 0.168751 0.0452166i
\(309\) −0.157892 0.273477i −0.00898217 0.0155576i
\(310\) 16.7066 + 10.5394i 0.948873 + 0.598599i
\(311\) 30.2666i 1.71626i −0.513433 0.858129i \(-0.671627\pi\)
0.513433 0.858129i \(-0.328373\pi\)
\(312\) 1.12582 + 3.42528i 0.0637372 + 0.193918i
\(313\) 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
\(315\) 2.82869 0.640282i 0.159379 0.0360758i
\(316\) −11.5082 6.64424i −0.647385 0.373768i
\(317\) −14.9396 −0.839094 −0.419547 0.907734i \(-0.637811\pi\)
−0.419547 + 0.907734i \(0.637811\pi\)
\(318\) 10.7745 + 6.22067i 0.604205 + 0.348838i
\(319\) −14.4760 + 3.87883i −0.810501 + 0.217173i
\(320\) 0.662933 2.13554i 0.0370591 0.119380i
\(321\) 6.71734 11.6348i 0.374926 0.649390i
\(322\) −1.70769 + 6.37319i −0.0951658 + 0.355164i
\(323\) −16.3837 28.3774i −0.911615 1.57896i
\(324\) −1.00000 −0.0555556
\(325\) −18.0231 0.408065i −0.999744 0.0226354i
\(326\) 1.75770 0.0973499
\(327\) −1.56045 2.70278i −0.0862930 0.149464i
\(328\) 2.19059 8.17538i 0.120955 0.451410i
\(329\) 7.52894 13.0405i 0.415084 0.718947i
\(330\) 1.56710 5.04816i 0.0862658 0.277892i
\(331\) 11.0457 2.95968i 0.607125 0.162679i 0.0578568 0.998325i \(-0.481573\pi\)
0.549268 + 0.835646i \(0.314907\pi\)
\(332\) 1.77121 + 1.02261i 0.0972079 + 0.0561230i
\(333\) −3.23633 −0.177350
\(334\) 11.9061 + 6.87400i 0.651474 + 0.376129i
\(335\) −1.44526 + 0.327139i −0.0789630 + 0.0178735i
\(336\) 1.25284 + 0.335697i 0.0683479 + 0.0183138i
\(337\) −20.3283 20.3283i −1.10735 1.10735i −0.993497 0.113854i \(-0.963680\pi\)
−0.113854 0.993497i \(-0.536320\pi\)
\(338\) 12.9192 1.44671i 0.702715 0.0786909i
\(339\) 10.1571i 0.551659i
\(340\) 13.1324 + 8.28459i 0.712203 + 0.449295i
\(341\) 10.4412 + 18.0847i 0.565422 + 0.979339i
\(342\) −4.55804 + 1.22132i −0.246471 + 0.0660416i
\(343\) 15.9765i 0.862648i
\(344\) 0.208612 + 0.778549i 0.0112476 + 0.0419765i
\(345\) 7.72188 + 8.35227i 0.415732 + 0.449671i
\(346\) −6.28672 + 6.28672i −0.337976 + 0.337976i
\(347\) −3.60214 13.4434i −0.193373 0.721677i −0.992682 0.120757i \(-0.961468\pi\)
0.799309 0.600920i \(-0.205199\pi\)
\(348\) −6.12383 1.64087i −0.328272 0.0879601i
\(349\) −7.74172 + 28.8925i −0.414405 + 1.54658i 0.371620 + 0.928385i \(0.378802\pi\)
−0.786025 + 0.618195i \(0.787864\pi\)
\(350\) −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
\(353\) −23.2525 + 13.4248i −1.23760 + 0.714532i −0.968604 0.248608i \(-0.920027\pi\)
−0.269001 + 0.963140i \(0.586693\pi\)
\(354\) −5.21767 + 3.01242i −0.277316 + 0.160109i
\(355\) −1.11119 + 28.3337i −0.0589758 + 1.50380i
\(356\) −3.17233 3.17233i −0.168133 0.168133i
\(357\) −4.50328 + 7.79991i −0.238339 + 0.412815i
\(358\) −1.43583 + 2.48692i −0.0758858 + 0.131438i
\(359\) 5.81339 + 5.81339i 0.306819 + 0.306819i 0.843674 0.536855i \(-0.180388\pi\)
−0.536855 + 0.843674i \(0.680388\pi\)
\(360\) 1.64189 1.51796i 0.0865350 0.0800037i
\(361\) −2.82964 + 1.63369i −0.148928 + 0.0859837i
\(362\) −13.2346 + 7.64101i −0.695596 + 0.401602i
\(363\) −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
\(367\) −28.4231 7.61596i −1.48368 0.397550i −0.576080 0.817393i \(-0.695418\pi\)
−0.907596 + 0.419844i \(0.862085\pi\)
\(368\) 1.31661 + 4.91367i 0.0686332 + 0.256143i
\(369\) 5.98479 5.98479i 0.311556 0.311556i
\(370\) 5.31369 4.91263i 0.276245 0.255396i
\(371\) −4.17652 15.5870i −0.216834 0.809236i
\(372\) 8.83392i 0.458018i
\(373\) −10.2001 + 2.73310i −0.528140 + 0.141515i −0.513029 0.858371i \(-0.671477\pi\)
−0.0151105 + 0.999886i \(0.504810\pi\)
\(374\) 8.20737 + 14.2156i 0.424393 + 0.735070i
\(375\) 4.41559 + 10.2714i 0.228020 + 0.530415i
\(376\) 11.6095i 0.598714i
\(377\) −10.3083 + 20.4024i −0.530906 + 1.05078i
\(378\) 0.917141 + 0.917141i 0.0471726 + 0.0471726i
\(379\) 6.58577 + 1.76465i 0.338288 + 0.0906440i 0.423964 0.905679i \(-0.360638\pi\)
−0.0856759 + 0.996323i \(0.527305\pi\)
\(380\) 5.62986 8.92421i 0.288806 0.457802i
\(381\) −11.6043 6.69977i −0.594508 0.343239i
\(382\) −5.69202 −0.291229
\(383\) 17.1782 + 9.91784i 0.877765 + 0.506778i 0.869921 0.493191i \(-0.164170\pi\)
0.00784427 + 0.999969i \(0.497503\pi\)
\(384\) 0.965926 0.258819i 0.0492922 0.0132078i
\(385\) −6.06712 + 3.19262i −0.309209 + 0.162711i
\(386\) −2.16696 + 3.75328i −0.110295 + 0.191037i
\(387\) −0.208612 + 0.778549i −0.0106043 + 0.0395759i
\(388\) 2.99963 + 5.19551i 0.152283 + 0.263762i
\(389\) 26.5912 1.34823 0.674113 0.738628i \(-0.264526\pi\)
0.674113 + 0.738628i \(0.264526\pi\)
\(390\) −4.14620 6.91441i −0.209951 0.350125i
\(391\) −35.3240 −1.78641
\(392\) 2.65885 + 4.60527i 0.134292 + 0.232601i
\(393\) −3.36680 + 12.5651i −0.169833 + 0.633825i
\(394\) 0.206799 0.358186i 0.0104184 0.0180451i
\(395\) 28.3781 + 8.80938i 1.42785 + 0.443248i
\(396\) 2.28334 0.611818i 0.114742 0.0307450i
\(397\) 8.63440 + 4.98507i 0.433348 + 0.250194i 0.700772 0.713385i \(-0.252839\pi\)
−0.267424 + 0.963579i \(0.586172\pi\)
\(398\) 17.0165 0.852959
\(399\) 5.30049 + 3.06024i 0.265357 + 0.153204i
\(400\) −0.391577 + 4.98464i −0.0195788 + 0.249232i
\(401\) 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
\(403\) 31.1775 + 6.51631i 1.55306 + 0.324601i
\(404\) 14.1195i 0.702473i
\(405\) 2.18090 0.493652i 0.108370 0.0245297i
\(406\) 4.11150 + 7.12132i 0.204050 + 0.353425i
\(407\) 7.38963 1.98005i 0.366290 0.0981472i
\(408\) 6.94397i 0.343778i
\(409\) −2.53797 9.47184i −0.125495 0.468352i 0.874362 0.485274i \(-0.161280\pi\)
−0.999857 + 0.0169217i \(0.994613\pi\)
\(410\) −0.741652 + 18.9110i −0.0366276 + 0.933950i
\(411\) −1.92420 + 1.92420i −0.0949137 + 0.0949137i
\(412\) 0.0817310 + 0.305024i 0.00402659 + 0.0150275i
\(413\) 7.54816 + 2.02252i 0.371421 + 0.0995218i
\(414\) −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
\(418\) 9.66031 5.57738i 0.472501 0.272799i
\(419\) 5.99767 3.46276i 0.293005 0.169167i −0.346291 0.938127i \(-0.612559\pi\)
0.639296 + 0.768960i \(0.279226\pi\)
\(420\) −2.89803 0.113655i −0.141409 0.00554577i
\(421\) −19.5137 19.5137i −0.951041 0.951041i 0.0478153 0.998856i \(-0.484774\pi\)
−0.998856 + 0.0478153i \(0.984774\pi\)
\(422\) −5.51865 + 9.55858i −0.268644 + 0.465304i
\(423\) 5.80474 10.0541i 0.282236 0.488848i
\(424\) −8.79736 8.79736i −0.427238 0.427238i
\(425\) −32.7301 11.5850i −1.58764 0.561956i
\(426\) −10.9820 + 6.34049i −0.532082 + 0.307198i
\(427\) −4.72311 + 2.72689i −0.228567 + 0.131963i
\(428\) −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 \(0.0666322\pi\)
\(432\) 0.965926 + 0.258819i 0.0464731 + 0.0124524i
\(433\) −9.35214 34.9027i −0.449435 1.67731i −0.703953 0.710246i \(-0.748583\pi\)
0.254518 0.967068i \(-0.418083\pi\)
\(434\) 8.10195 8.10195i 0.388906 0.388906i
\(435\) 14.1655 + 0.555539i 0.679181 + 0.0266361i
\(436\) 0.807747 + 3.01455i 0.0386841 + 0.144371i
\(437\) 24.0047i 1.14830i
\(438\) −4.87047 + 1.30504i −0.232720 + 0.0623572i
\(439\) 8.21571 + 14.2300i 0.392114 + 0.679162i 0.992728 0.120377i \(-0.0384104\pi\)
−0.600614 + 0.799539i \(0.705077\pi\)
\(440\) −2.82026 + 4.47055i −0.134451 + 0.213125i
\(441\) 5.31771i 0.253224i
\(442\) 24.5073 + 5.12220i 1.16569 + 0.243638i
\(443\) −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
\(445\) 8.48454 + 5.35249i 0.402206 + 0.253732i
\(446\) −10.3812 5.99361i −0.491566 0.283806i
\(447\) 4.56611 0.215969
\(448\) −1.12326 0.648516i −0.0530692 0.0306395i
\(449\) −39.0040 + 10.4511i −1.84071 + 0.493218i −0.998915 0.0465717i \(-0.985170\pi\)
−0.841800 + 0.539790i \(0.818504\pi\)
\(450\) −2.83144 + 4.12104i −0.133475 + 0.194268i
\(451\) −10.0037 + 17.3269i −0.471055 + 0.815892i
\(452\) −2.62886 + 9.81102i −0.123651 + 0.461472i
\(453\) 9.41470 + 16.3067i 0.442341 + 0.766157i
\(454\) −10.4835 −0.492013
\(455\) −2.53884 + 10.1441i −0.119023 + 0.475564i
\(456\) 4.71883 0.220980
\(457\) −3.53353 6.12025i −0.165291 0.286293i 0.771467 0.636269i \(-0.219523\pi\)
−0.936759 + 0.349976i \(0.886190\pi\)
\(458\) −3.18614 + 11.8908i −0.148878 + 0.555622i
\(459\) −3.47199 + 6.01366i −0.162058 + 0.280694i
\(460\) −5.29703 10.0662i −0.246976 0.469341i
\(461\) −15.1853 + 4.06888i −0.707249 + 0.189507i −0.594475 0.804114i \(-0.702640\pi\)
−0.112774 + 0.993621i \(0.535974\pi\)
\(462\) −2.65526 1.53302i −0.123534 0.0713224i
\(463\) −13.2887 −0.617577 −0.308788 0.951131i \(-0.599923\pi\)
−0.308788 + 0.951131i \(0.599923\pi\)
\(464\) 5.49047 + 3.16993i 0.254889 + 0.147160i
\(465\) −4.36088 19.2659i −0.202231 0.893433i
\(466\) 24.6827 + 6.61372i 1.14341 + 0.306375i
\(467\) −11.5225 11.5225i −0.533200 0.533200i 0.388324 0.921523i \(-0.373054\pi\)
−0.921523 + 0.388324i \(0.873054\pi\)
\(468\) 1.62596 3.21811i 0.0751600 0.148757i
\(469\) 0.859532i 0.0396895i
\(470\) 5.73104 + 25.3191i 0.264353 + 1.16788i
\(471\) −7.46212 12.9248i −0.343837 0.595542i
\(472\) 5.81956 1.55935i 0.267867 0.0717747i
\(473\) 1.90532i 0.0876067i
\(474\) 3.43931 + 12.8357i 0.157973 + 0.589563i
\(475\) −7.87269 + 22.2420i −0.361224 + 1.02053i
\(476\) 6.36860 6.36860i 0.291904 0.291904i
\(477\) −3.22006 12.0174i −0.147436 0.550240i
\(478\) −13.2326 3.54566i −0.605244 0.162175i
\(479\) 8.77511 32.7492i 0.400945 1.49635i −0.410468 0.911875i \(-0.634635\pi\)
0.811413 0.584473i \(-0.198699\pi\)
\(480\) −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
\(483\) 5.71404 3.29900i 0.259998 0.150110i
\(484\) 4.68698 2.70603i 0.213045 0.123001i
\(485\) −9.10664 9.85009i −0.413511 0.447269i
\(486\) 0.707107 + 0.707107i 0.0320750 + 0.0320750i
\(487\) 19.6358 34.0102i 0.889783 1.54115i 0.0496516 0.998767i \(-0.484189\pi\)
0.840131 0.542383i \(-0.182478\pi\)
\(488\) −2.10240 + 3.64147i −0.0951714 + 0.164842i
\(489\) −1.24288 1.24288i −0.0562050 0.0562050i
\(490\) −8.07208 8.73106i −0.364659 0.394429i
\(491\) 34.8781 20.1369i 1.57403 0.908765i 0.578359 0.815782i \(-0.303693\pi\)
0.995668 0.0929826i \(-0.0296401\pi\)
\(492\) −7.32985 + 4.23189i −0.330455 + 0.190788i
\(493\) −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
\(497\) 15.8872 + 4.25696i 0.712638 + 0.190951i
\(498\) −0.529342 1.97553i −0.0237204 0.0885257i
\(499\) 14.8255 14.8255i 0.663679 0.663679i −0.292566 0.956245i \(-0.594509\pi\)
0.956245 + 0.292566i \(0.0945093\pi\)
\(500\) −1.60669 11.0643i −0.0718533 0.494810i
\(501\) −3.55825 13.2796i −0.158971 0.593287i
\(502\) 16.8325i 0.751273i
\(503\) −8.55419 + 2.29209i −0.381412 + 0.102199i −0.444431 0.895813i \(-0.646594\pi\)
0.0630184 + 0.998012i \(0.479927\pi\)
\(504\) −0.648516 1.12326i −0.0288872 0.0500341i
\(505\) −6.97013 30.7932i −0.310167 1.37028i
\(506\) 12.0251i 0.534580i
\(507\) −10.1583 8.11231i −0.451145 0.360280i
\(508\) 9.47490 + 9.47490i 0.420381 + 0.420381i
\(509\) −13.6779 3.66497i −0.606261 0.162447i −0.0573867 0.998352i \(-0.518277\pi\)
−0.548874 + 0.835905i \(0.684943\pi\)
\(510\) −3.42790 15.1441i −0.151790 0.670591i
\(511\) 5.66381 + 3.27000i 0.250552 + 0.144656i
\(512\) −1.00000 −0.0441942
\(513\) 4.08663 + 2.35942i 0.180429 + 0.104171i
\(514\) 6.00363 1.60867i 0.264809 0.0709554i
\(515\) −0.328822 0.624879i −0.0144896 0.0275355i
\(516\) 0.403007 0.698028i 0.0177414 0.0307290i
\(517\) −7.10289 + 26.5084i −0.312385 + 1.16584i
\(518\) −2.09881 3.63525i −0.0922166 0.159724i
\(519\) 8.89076 0.390261
\(520\) 2.21534 + 7.75192i 0.0971491 + 0.339944i
\(521\) −4.48877 −0.196657 −0.0983284 0.995154i \(-0.531350\pi\)
−0.0983284 + 0.995154i \(0.531350\pi\)
\(522\) 3.16993 + 5.49047i 0.138744 + 0.240311i
\(523\) 1.93207 7.21056i 0.0844833 0.315296i −0.910733 0.412997i \(-0.864482\pi\)
0.995216 + 0.0977007i \(0.0311488\pi\)
\(524\) 6.50417 11.2655i 0.284136 0.492138i
\(525\) 6.37640 1.18275i 0.278289 0.0516193i
\(526\) −12.4555 + 3.33744i −0.543085 + 0.145519i
\(527\) 53.1242 + 30.6713i 2.31413 + 1.33606i
\(528\) −2.36388 −0.102875
\(529\) 2.49206 + 1.43879i 0.108350 + 0.0625560i
\(530\) 23.5290 + 14.8433i 1.02203 + 0.644752i
\(531\) 5.81956 + 1.55935i 0.252547 + 0.0676698i
\(532\) −4.32783 4.32783i −0.187635 0.187635i
\(533\) 9.52872 + 28.9908i 0.412735 + 1.25573i
\(534\) 4.48635i 0.194143i
\(535\) 16.0284 25.4076i 0.692969 1.09846i
\(536\) 0.331346 + 0.573907i 0.0143120 + 0.0247890i
\(537\) 2.77380 0.743239i 0.119698 0.0320731i
\(538\) 0.213349i 0.00919813i
\(539\) −3.25347 12.1421i −0.140137 0.522997i
\(540\) −2.23435 0.0876265i −0.0961511 0.00377085i
\(541\) 8.66329 8.66329i 0.372464 0.372464i −0.495910 0.868374i \(-0.665165\pi\)
0.868374 + 0.495910i \(0.165165\pi\)
\(542\) 0.492340 + 1.83744i 0.0211478 + 0.0789247i
\(543\) 14.7613 + 3.95528i 0.633468 + 0.169737i
\(544\) 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 \(0.282149\pi\)
\(548\) 2.35665 1.36061i 0.100671 0.0581226i
\(549\) −3.64147 + 2.10240i −0.155414 + 0.0897284i
\(550\) 3.94379 11.1420i 0.168164 0.475098i
\(551\) 21.1543 + 21.1543i 0.901204 + 0.901204i
\(552\) 2.54350 4.40547i 0.108259 0.187509i
\(553\) 8.61780 14.9265i 0.366466 0.634738i
\(554\) −17.0063 17.0063i −0.722528 0.722528i
\(555\) −7.23110 0.283589i −0.306943 0.0120377i
\(556\) 1.84444 1.06489i 0.0782216 0.0451613i
\(557\) −22.7122 + 13.1129i −0.962348 + 0.555612i −0.896895 0.442244i \(-0.854183\pi\)
−0.0654529 + 0.997856i \(0.520849\pi\)
\(558\) 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
\(562\) −9.19174 2.46292i −0.387730 0.103892i
\(563\) −0.277646 1.03619i −0.0117014 0.0436701i 0.959828 0.280588i \(-0.0905294\pi\)
−0.971530 + 0.236918i \(0.923863\pi\)
\(564\) −8.20915 + 8.20915i −0.345667 + 0.345667i
\(565\) 0.890033 22.6946i 0.0374440 0.954767i
\(566\) −3.36636 12.5634i −0.141499 0.528080i
\(567\) 1.29703i 0.0544703i
\(568\) 12.2489 3.28208i 0.513951 0.137713i
\(569\) −1.22207 2.11668i −0.0512316 0.0887358i 0.839272 0.543711i \(-0.182981\pi\)
−0.890504 + 0.454975i \(0.849648\pi\)
\(570\) −10.2913 + 2.32946i −0.431054 + 0.0975703i
\(571\) 20.9592i 0.877117i 0.898703 + 0.438558i \(0.144511\pi\)
−0.898703 + 0.438558i \(0.855489\pi\)
\(572\) −1.74371 + 8.34282i −0.0729082 + 0.348831i
\(573\) 4.02486 + 4.02486i 0.168141 + 0.168141i
\(574\) 10.6037 + 2.84126i 0.442591 + 0.118592i
\(575\) 16.5215 + 19.3385i 0.688994 + 0.806473i
\(576\) −0.866025 0.500000i −0.0360844 0.0208333i
\(577\) −27.7348 −1.15462 −0.577308 0.816527i \(-0.695897\pi\)
−0.577308 + 0.816527i \(0.695897\pi\)
\(578\) 27.0362 + 15.6094i 1.12456 + 0.649265i
\(579\) 4.18624 1.12170i 0.173974 0.0466162i
\(580\) −13.5390 4.20290i −0.562176 0.174516i
\(581\) −1.32636 + 2.29732i −0.0550266 + 0.0953090i
\(582\) 1.55272 5.79483i 0.0643624 0.240204i
\(583\) 14.7049 + 25.4697i 0.609016 + 1.05485i
\(584\) 5.04229 0.208651
\(585\) −1.95742 + 7.82103i −0.0809293 + 0.323360i
\(586\) −7.02915 −0.290371
\(587\) 0.235919 + 0.408623i 0.00973741 + 0.0168657i 0.870853 0.491543i \(-0.163567\pi\)
−0.861116 + 0.508409i \(0.830234\pi\)
\(588\) 1.37632 5.13651i 0.0567586 0.211826i
\(589\) 20.8429 36.1010i 0.858817 1.48751i
\(590\) −11.9221 + 6.27360i −0.490824 + 0.258280i
\(591\) −0.399504 + 0.107047i −0.0164334 + 0.00440332i
\(592\) −2.80275 1.61817i −0.115192 0.0665062i
\(593\) 30.9039 1.26907 0.634536 0.772893i \(-0.281191\pi\)
0.634536 + 0.772893i \(0.281191\pi\)
\(594\) −2.04718 1.18194i −0.0839969 0.0484956i
\(595\) −10.7454 + 17.0331i −0.440518 + 0.698290i
\(596\) −4.41052 1.18180i −0.180662 0.0484082i
\(597\) −12.0325 12.0325i −0.492456 0.492456i
\(598\) −13.6720 12.2264i −0.559089 0.499976i
\(599\) 18.6640i 0.762592i 0.924453 + 0.381296i \(0.124522\pi\)
−0.924453 + 0.381296i \(0.875478\pi\)
\(600\) 3.80156 3.24779i 0.155198 0.132590i
\(601\) 6.45779 + 11.1852i 0.263419 + 0.456255i 0.967148 0.254213i \(-0.0818166\pi\)
−0.703729 + 0.710468i \(0.748483\pi\)
\(602\) −1.00980 + 0.270576i −0.0411565 + 0.0110279i
\(603\) 0.662691i 0.0269869i
\(604\) −4.87341 18.1878i −0.198296 0.740051i
\(605\) −8.88598 + 8.21531i −0.361267 + 0.334000i
\(606\) 9.98401 9.98401i 0.405573 0.405573i
\(607\) 0.989296 + 3.69210i 0.0401543 + 0.149858i 0.983092 0.183110i \(-0.0586165\pi\)
−0.942938 + 0.332968i \(0.891950\pi\)
\(608\) −4.55804 1.22132i −0.184853 0.0495312i
\(609\) 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
\(613\) 21.0252 12.1389i 0.849199 0.490285i −0.0111815 0.999937i \(-0.503559\pi\)
0.860381 + 0.509652i \(0.170226\pi\)
\(614\) −11.7367 + 6.77616i −0.473653 + 0.273464i
\(615\) 13.8966 12.8477i 0.560363 0.518069i
\(616\) 2.16801 + 2.16801i 0.0873517 + 0.0873517i
\(617\) 9.31625 16.1362i 0.375058 0.649620i −0.615278 0.788311i \(-0.710956\pi\)
0.990336 + 0.138691i \(0.0442894\pi\)
\(618\) 0.157892 0.273477i 0.00635135 0.0110009i
\(619\) 16.3696 + 16.3696i 0.657949 + 0.657949i 0.954894 0.296946i \(-0.0959680\pi\)
−0.296946 + 0.954894i \(0.595968\pi\)
\(620\) −0.774086 + 19.7381i −0.0310880 + 0.792700i
\(621\) 4.40547 2.54350i 0.176786 0.102067i
\(622\) 26.2116 15.1333i 1.05099 0.606789i
\(623\) 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
\(627\) −10.7747 2.88707i −0.430299 0.115298i
\(628\) 3.86268 + 14.4157i 0.154138 + 0.575250i
\(629\) 15.8908 15.8908i 0.633608 0.633608i
\(630\) 1.96885 + 2.12958i 0.0784408 + 0.0848445i
\(631\) −12.6935 47.3728i −0.505321 1.88588i −0.462121 0.886817i \(-0.652912\pi\)
−0.0431996 0.999066i \(-0.513755\pi\)
\(632\) 13.2885i 0.528587i
\(633\) 10.6612 2.85666i 0.423745 0.113542i
\(634\) −7.46982 12.9381i −0.296664 0.513838i
\(635\) −25.3411 15.9865i −1.00563 0.634404i
\(636\) 12.4413i 0.493331i
\(637\) −17.1130 8.64637i −0.678041 0.342582i
\(638\) −10.5972 10.5972i −0.419546 0.419546i
\(639\) 12.2489 + 3.28208i 0.484558 + 0.129837i
\(640\) 2.18090 0.493652i 0.0862075 0.0195133i
\(641\) 30.5023 + 17.6105i 1.20477 + 0.695572i 0.961611 0.274415i \(-0.0884842\pi\)
0.243155 + 0.969987i \(0.421817\pi\)
\(642\) 13.4347 0.530225
\(643\) 14.9156 + 8.61155i 0.588215 + 0.339606i 0.764392 0.644752i \(-0.223039\pi\)
−0.176176 + 0.984359i \(0.556373\pi\)
\(644\) −6.37319 + 1.70769i −0.251139 + 0.0672924i
\(645\) −0.534333 + 1.72127i −0.0210393 + 0.0677750i
\(646\) 16.3837 28.3774i 0.644609 1.11650i
\(647\) 4.61717 17.2315i 0.181520 0.677441i −0.813829 0.581104i \(-0.802621\pi\)
0.995349 0.0963367i \(-0.0307126\pi\)
\(648\) −0.500000 0.866025i −0.0196419 0.0340207i
\(649\) −14.2420 −0.559049
\(650\) −8.65817 15.8125i −0.339602 0.620218i
\(651\) −11.4579 −0.449070
\(652\) 0.878849 + 1.52221i 0.0344184 + 0.0596144i
\(653\) −4.02975 + 15.0392i −0.157696 + 0.588531i 0.841163 + 0.540782i \(0.181871\pi\)
−0.998859 + 0.0477492i \(0.984795\pi\)
\(654\) 1.56045 2.70278i 0.0610183 0.105687i
\(655\) −8.62366 + 27.7798i −0.336954 + 1.08545i
\(656\) 8.17538 2.19059i 0.319195 0.0855280i
\(657\) 4.36675 + 2.52114i 0.170363 + 0.0983591i
\(658\) 15.0579 0.587018
\(659\) 15.1800 + 8.76418i 0.591329 + 0.341404i 0.765623 0.643290i \(-0.222431\pi\)
−0.174294 + 0.984694i \(0.555764\pi\)
\(660\) 5.15538 1.16693i 0.200673 0.0454229i
\(661\) −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
\(663\) −13.7073 20.9512i −0.532349 0.813678i
\(664\) 2.04522i 0.0793699i
\(665\) 11.5750 + 7.30211i 0.448859 + 0.283164i
\(666\) −1.61817 2.80275i −0.0627027 0.108604i
\(667\) 31.1519 8.34713i 1.20621 0.323202i
\(668\) 13.7480i 0.531926i
\(669\) 3.10252 + 11.5788i 0.119950 + 0.447661i
\(670\) −1.00594 1.08806i −0.0388629 0.0420356i
\(671\) 7.02841 7.02841i 0.271329 0.271329i
\(672\) 0.335697 + 1.25284i 0.0129498 + 0.0483293i
\(673\) −49.5916 13.2880i −1.91162 0.512216i −0.993171 0.116670i \(-0.962778\pi\)
−0.918446 0.395546i \(-0.870555\pi\)
\(674\) 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 \(0.175372\pi\)
\(678\) 8.79632 5.07856i 0.337821 0.195041i
\(679\) −6.73874 + 3.89061i −0.258609 + 0.149308i
\(680\) −0.608476 + 15.5153i −0.0233340 + 0.594983i
\(681\) 7.41292 + 7.41292i 0.284064 + 0.284064i
\(682\) −10.4412 + 18.0847i −0.399813 + 0.692497i
\(683\) −6.23153 + 10.7933i −0.238443 + 0.412995i −0.960268 0.279081i \(-0.909970\pi\)
0.721825 + 0.692076i \(0.243304\pi\)
\(684\) −3.33672 3.33672i −0.127583 0.127583i
\(685\) −4.46795 + 4.13072i −0.170711 + 0.157827i
\(686\) −13.8360 + 7.98823i −0.528262 + 0.304992i
\(687\) 10.6610 6.15514i 0.406743 0.234833i
\(688\) −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 \(-0.140090\pi\)
\(692\) −8.58782 2.30110i −0.326460 0.0874746i
\(693\) 0.793548 + 2.96156i 0.0301444 + 0.112500i
\(694\) 9.84122 9.84122i 0.373568 0.373568i
\(695\) −3.49684 + 3.23292i −0.132643 + 0.122632i
\(696\) −1.64087 6.12383i −0.0621972 0.232123i
\(697\) 58.7722i 2.22616i
\(698\) −28.8925 + 7.74172i −1.09360 + 0.293028i
\(699\) −12.7767 22.1299i −0.483260 0.837031i
\(700\) −6.46525 0.507888i −0.244363 0.0191964i
\(701\) 39.3497i 1.48622i 0.669170 + 0.743109i \(0.266650\pi\)
−0.669170 + 0.743109i \(0.733350\pi\)
\(702\) −3.42528 + 1.12582i −0.129279 + 0.0424915i
\(703\) −10.7987 10.7987i −0.407282 0.407282i
\(704\) 2.28334 + 0.611818i 0.0860564 + 0.0230588i
\(705\) 13.8508 21.9558i 0.521653 0.826902i
\(706\) −23.2525 13.4248i −0.875119 0.505250i
\(707\) −18.3135 −0.688750
\(708\) −5.21767 3.01242i −0.196092 0.113214i
\(709\) −14.0918 + 3.77590i −0.529230 + 0.141807i −0.513533 0.858070i \(-0.671664\pi\)
−0.0156976 + 0.999877i \(0.504997\pi\)
\(710\) −25.0933 + 13.2045i −0.941736 + 0.495558i
\(711\) 6.64424 11.5082i 0.249179 0.431590i
\(712\) 1.16115 4.33348i 0.0435160 0.162404i
\(713\) −22.4691 38.9176i −0.841474 1.45748i
\(714\) −9.00656 −0.337062
\(715\) −0.315600 19.0556i −0.0118028 0.712640i
\(716\) −2.87165 −0.107319
\(717\) 6.84968 + 11.8640i 0.255806 + 0.443069i
\(718\) −2.12785 + 7.94124i −0.0794106 + 0.296364i
\(719\) −18.0641 + 31.2880i −0.673678 + 1.16684i 0.303176 + 0.952935i \(0.401953\pi\)
−0.976853 + 0.213909i \(0.931380\pi\)
\(720\) 2.13554 + 0.662933i 0.0795868 + 0.0247061i
\(721\) −0.395626 + 0.106008i −0.0147339 + 0.00394793i
\(722\) −2.82964 1.63369i −0.105308 0.0607997i
\(723\) −11.6162 −0.432011
\(724\) −13.2346 7.64101i −0.491860 0.283976i
\(725\) 31.6019 + 2.48254i 1.17367 + 0.0921992i
\(726\) −5.22765 1.40074i −0.194016 0.0519865i
\(727\) 12.0708 + 12.0708i 0.447682 + 0.447682i 0.894583 0.446901i \(-0.147472\pi\)
−0.446901 + 0.894583i \(0.647472\pi\)
\(728\) 4.66925 0.260620i 0.173054 0.00965921i
\(729\) 1.00000i 0.0370370i
\(730\) −10.9967 + 2.48913i −0.407006 + 0.0921269i
\(731\) −2.79847 4.84709i −0.103505 0.179276i
\(732\) 4.06153 1.08828i 0.150119 0.0402241i
\(733\) 7.35261i 0.271575i 0.990738 + 0.135787i \(0.0433564\pi\)
−0.990738 + 0.135787i \(0.956644\pi\)
\(734\) −7.61596 28.4231i −0.281110 1.04912i
\(735\) −0.465972 + 11.8816i −0.0171876 + 0.438260i
\(736\) −3.59705 + 3.59705i −0.132589 + 0.132589i
\(737\) −0.405446 1.51315i −0.0149348 0.0557375i
\(738\) 8.17538 + 2.19059i 0.300940 + 0.0806366i
\(739\) −6.26046 + 23.3644i −0.230295 + 0.859472i 0.749919 + 0.661530i \(0.230093\pi\)
−0.980214 + 0.197942i \(0.936574\pi\)
\(740\) 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
\(743\) 34.9742 20.1924i 1.28308 0.740786i 0.305669 0.952138i \(-0.401120\pi\)
0.977410 + 0.211351i \(0.0677865\pi\)
\(744\) −7.65040 + 4.41696i −0.280477 + 0.161934i
\(745\) 10.2023 + 0.400112i 0.373783 + 0.0146590i
\(746\) −7.46697 7.46697i −0.273385 0.273385i
\(747\) −1.02261 + 1.77121i −0.0374154 + 0.0648053i
\(748\) −8.20737 + 14.2156i −0.300091 + 0.519773i
\(749\) −12.3215 12.3215i −0.450218 0.450218i
\(750\) −6.68753 + 8.95974i −0.244194 + 0.327163i
\(751\) 26.0554 15.0431i 0.950775 0.548930i 0.0574532 0.998348i \(-0.481702\pi\)
0.893322 + 0.449418i \(0.148369\pi\)
\(752\) 10.0541 5.80474i 0.366636 0.211677i
\(753\) −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
\(757\) −27.7521 7.43615i −1.00867 0.270272i −0.283595 0.958944i \(-0.591527\pi\)
−0.725072 + 0.688673i \(0.758194\pi\)
\(758\) 1.76465 + 6.58577i 0.0640950 + 0.239206i
\(759\) −8.50301 + 8.50301i −0.308640 + 0.308640i
\(760\) 10.5435 + 0.413495i 0.382454 + 0.0149990i
\(761\) 5.23591 + 19.5407i 0.189802 + 0.708350i 0.993551 + 0.113382i \(0.0361685\pi\)
−0.803750 + 0.594968i \(0.797165\pi\)
\(762\) 13.3995i 0.485414i
\(763\) −3.90998 + 1.04767i −0.141551 + 0.0379284i
\(764\) −2.84601 4.92943i −0.102965 0.178341i
\(765\) −8.28459 + 13.1324i −0.299530 + 0.474802i
\(766\) 19.8357i 0.716692i
\(767\) −14.4805 + 16.1926i −0.522861 + 0.584680i
\(768\) 0.707107 + 0.707107i 0.0255155 + 0.0255155i
\(769\) 1.45984 +