Properties

Label 390.2.be.b.23.4
Level $390$
Weight $2$
Character 390.23
Analytic conductor $3.114$
Analytic rank $0$
Dimension $96$
CM no
Inner twists $8$

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Newspace parameters

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

Newform invariants

Self dual: no
Analytic conductor: \(3.11416567883\)
Analytic rank: \(0\)
Dimension: \(96\)
Relative dimension: \(24\) over \(\Q(\zeta_{12})\)
Twist minimal: yes
Sato-Tate group: $\mathrm{SU}(2)[C_{12}]$

Embedding invariants

Embedding label 23.4
Character \(\chi\) \(=\) 390.23
Dual form 390.2.be.b.17.4

$q$-expansion

\(f(q)\) \(=\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.793519 + 1.53959i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.16310 - 0.566581i) q^{5} +(1.16496 - 1.28175i) q^{6} +(4.16232 - 1.11529i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-1.74065 - 2.44338i) q^{9} +O(q^{10})\) \(q+(-0.965926 - 0.258819i) q^{2} +(-0.793519 + 1.53959i) q^{3} +(0.866025 + 0.500000i) q^{4} +(-2.16310 - 0.566581i) q^{5} +(1.16496 - 1.28175i) q^{6} +(4.16232 - 1.11529i) q^{7} +(-0.707107 - 0.707107i) q^{8} +(-1.74065 - 2.44338i) q^{9} +(1.94275 + 1.10713i) q^{10} +(1.69009 + 2.92732i) q^{11} +(-1.45700 + 0.936562i) q^{12} +(-0.196065 - 3.60022i) q^{13} -4.30915 q^{14} +(2.58876 - 2.88068i) q^{15} +(0.500000 + 0.866025i) q^{16} +(2.12553 - 0.569533i) q^{17} +(1.04895 + 2.81064i) q^{18} +(-2.88749 + 5.00129i) q^{19} +(-1.59001 - 1.57222i) q^{20} +(-1.58579 + 7.29325i) q^{21} +(-0.874856 - 3.26501i) q^{22} +(8.91110 + 2.38772i) q^{23} +(1.64976 - 0.527549i) q^{24} +(4.35797 + 2.45114i) q^{25} +(-0.742420 + 3.52829i) q^{26} +(5.14304 - 0.741018i) q^{27} +(4.16232 + 1.11529i) q^{28} +(0.535774 + 0.927987i) q^{29} +(-3.24612 + 2.11250i) q^{30} +1.90588i q^{31} +(-0.258819 - 0.965926i) q^{32} +(-5.84799 + 0.279155i) q^{33} -2.20051 q^{34} +(-9.63539 + 0.0541891i) q^{35} +(-0.285760 - 2.98636i) q^{36} +(-1.70514 + 6.36367i) q^{37} +(4.08353 - 4.08353i) q^{38} +(5.69843 + 2.55498i) q^{39} +(1.12891 + 1.93017i) q^{40} +(3.09985 + 5.36910i) q^{41} +(3.41939 - 6.63431i) q^{42} +(-1.32563 + 0.355202i) q^{43} +3.38018i q^{44} +(2.38083 + 6.27150i) q^{45} +(-7.98947 - 4.61272i) q^{46} +(4.37366 - 4.37366i) q^{47} +(-1.73008 + 0.0825856i) q^{48} +(10.0188 - 5.78437i) q^{49} +(-3.57508 - 3.49554i) q^{50} +(-0.809801 + 3.72437i) q^{51} +(1.63031 - 3.21591i) q^{52} +(1.30264 - 1.30264i) q^{53} +(-5.15959 - 0.615349i) q^{54} +(-1.99726 - 7.28966i) q^{55} +(-3.73183 - 2.15457i) q^{56} +(-5.40863 - 8.41417i) q^{57} +(-0.277337 - 1.03504i) q^{58} +(-1.13299 - 0.654133i) q^{59} +(3.68227 - 1.20036i) q^{60} +(5.42353 - 9.39383i) q^{61} +(0.493278 - 1.84094i) q^{62} +(-9.97023 - 8.22880i) q^{63} +1.00000i q^{64} +(-1.61571 + 7.89870i) q^{65} +(5.72098 + 1.24393i) q^{66} +(1.54886 - 5.78042i) q^{67} +(2.12553 + 0.569533i) q^{68} +(-10.7472 + 11.8247i) q^{69} +(9.32110 + 2.44148i) q^{70} +(3.45805 - 5.98951i) q^{71} +(-0.496904 + 2.95856i) q^{72} +(2.13050 - 2.13050i) q^{73} +(3.29408 - 5.70551i) q^{74} +(-7.23187 + 4.76445i) q^{75} +(-5.00129 + 2.88749i) q^{76} +(10.2995 + 10.2995i) q^{77} +(-4.84298 - 3.94278i) q^{78} +9.17586i q^{79} +(-0.590875 - 2.15659i) q^{80} +(-2.94024 + 8.50617i) q^{81} +(-1.60460 - 5.98845i) q^{82} +(-10.5216 - 10.5216i) q^{83} +(-5.01996 + 5.52324i) q^{84} +(-4.92041 + 0.0276722i) q^{85} +1.37240 q^{86} +(-1.85386 + 0.0884944i) q^{87} +(0.874856 - 3.26501i) q^{88} +(-15.9723 + 9.22160i) q^{89} +(-0.676522 - 6.67400i) q^{90} +(-4.83137 - 14.7666i) q^{91} +(6.52338 + 6.52338i) q^{92} +(-2.93427 - 1.51235i) q^{93} +(-5.35661 + 3.09264i) q^{94} +(9.07956 - 9.18227i) q^{95} +(1.69250 + 0.368006i) q^{96} +(-2.35371 + 0.630674i) q^{97} +(-11.1746 + 2.99421i) q^{98} +(4.21071 - 9.22500i) q^{99} +O(q^{100})\)
\(\operatorname{Tr}(f)(q)\) \(=\) \( 96 q + 4 q^{3} + 24 q^{7}+O(q^{10}) \) Copy content Toggle raw display \( 96 q + 4 q^{3} + 24 q^{7} + 16 q^{10} - 8 q^{12} + 40 q^{13} + 48 q^{16} - 8 q^{22} + 64 q^{25} - 32 q^{27} + 24 q^{28} - 8 q^{30} - 96 q^{33} - 24 q^{36} + 72 q^{37} - 8 q^{42} + 16 q^{43} - 60 q^{45} + 24 q^{46} - 4 q^{48} - 128 q^{51} - 8 q^{52} + 32 q^{61} - 120 q^{63} - 16 q^{66} - 96 q^{67} - 24 q^{72} - 4 q^{75} - 24 q^{76} - 16 q^{78} - 48 q^{81} + 32 q^{82} + 32 q^{87} + 8 q^{88} - 56 q^{90} - 56 q^{91} - 12 q^{93} + 24 q^{97}+O(q^{100}) \) Copy content Toggle raw display

Character values

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

\(n\) \(131\) \(157\) \(301\)
\(\chi(n)\) \(-1\) \(e\left(\frac{3}{4}\right)\) \(e\left(\frac{5}{6}\right)\)

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:
\(n\) \(a_n\) \(a_n / n^{(k-1)/2}\) \( \alpha_n \) \( \theta_n \)
\(p\) \(a_p\) \(a_p / p^{(k-1)/2}\) \( \alpha_p\) \( \theta_p \)
\(2\) −0.965926 0.258819i −0.683013 0.183013i
\(3\) −0.793519 + 1.53959i −0.458138 + 0.888881i
\(4\) 0.866025 + 0.500000i 0.433013 + 0.250000i
\(5\) −2.16310 0.566581i −0.967366 0.253383i
\(6\) 1.16496 1.28175i 0.475591 0.523272i
\(7\) 4.16232 1.11529i 1.57321 0.421540i 0.636393 0.771365i \(-0.280426\pi\)
0.936815 + 0.349825i \(0.113759\pi\)
\(8\) −0.707107 0.707107i −0.250000 0.250000i
\(9\) −1.74065 2.44338i −0.580218 0.814461i
\(10\) 1.94275 + 1.10713i 0.614351 + 0.350104i
\(11\) 1.69009 + 2.92732i 0.509582 + 0.882622i 0.999938 + 0.0110997i \(0.00353321\pi\)
−0.490357 + 0.871522i \(0.663133\pi\)
\(12\) −1.45700 + 0.936562i −0.420600 + 0.270362i
\(13\) −0.196065 3.60022i −0.0543787 0.998520i
\(14\) −4.30915 −1.15167
\(15\) 2.58876 2.88068i 0.668415 0.743789i
\(16\) 0.500000 + 0.866025i 0.125000 + 0.216506i
\(17\) 2.12553 0.569533i 0.515516 0.138132i 0.00832436 0.999965i \(-0.497350\pi\)
0.507192 + 0.861833i \(0.330684\pi\)
\(18\) 1.04895 + 2.81064i 0.247240 + 0.662475i
\(19\) −2.88749 + 5.00129i −0.662437 + 1.14737i 0.317537 + 0.948246i \(0.397144\pi\)
−0.979973 + 0.199128i \(0.936189\pi\)
\(20\) −1.59001 1.57222i −0.355536 0.351559i
\(21\) −1.58579 + 7.29325i −0.346048 + 1.59152i
\(22\) −0.874856 3.26501i −0.186520 0.696102i
\(23\) 8.91110 + 2.38772i 1.85809 + 0.497874i 0.999881 0.0154215i \(-0.00490900\pi\)
0.858212 + 0.513296i \(0.171576\pi\)
\(24\) 1.64976 0.527549i 0.336755 0.107686i
\(25\) 4.35797 + 2.45114i 0.871594 + 0.490228i
\(26\) −0.742420 + 3.52829i −0.145601 + 0.691954i
\(27\) 5.14304 0.741018i 0.989779 0.142609i
\(28\) 4.16232 + 1.11529i 0.786604 + 0.210770i
\(29\) 0.535774 + 0.927987i 0.0994907 + 0.172323i 0.911474 0.411358i \(-0.134945\pi\)
−0.811983 + 0.583681i \(0.801612\pi\)
\(30\) −3.24612 + 2.11250i −0.592659 + 0.385689i
\(31\) 1.90588i 0.342306i 0.985244 + 0.171153i \(0.0547492\pi\)
−0.985244 + 0.171153i \(0.945251\pi\)
\(32\) −0.258819 0.965926i −0.0457532 0.170753i
\(33\) −5.84799 + 0.279155i −1.01800 + 0.0485946i
\(34\) −2.20051 −0.377384
\(35\) −9.63539 + 0.0541891i −1.62868 + 0.00915964i
\(36\) −0.285760 2.98636i −0.0476266 0.497727i
\(37\) −1.70514 + 6.36367i −0.280323 + 1.04618i 0.671866 + 0.740673i \(0.265493\pi\)
−0.952189 + 0.305508i \(0.901174\pi\)
\(38\) 4.08353 4.08353i 0.662437 0.662437i
\(39\) 5.69843 + 2.55498i 0.912479 + 0.409124i
\(40\) 1.12891 + 1.93017i 0.178496 + 0.305187i
\(41\) 3.09985 + 5.36910i 0.484115 + 0.838512i 0.999834 0.0182462i \(-0.00580826\pi\)
−0.515718 + 0.856758i \(0.672475\pi\)
\(42\) 3.41939 6.63431i 0.527623 1.02370i
\(43\) −1.32563 + 0.355202i −0.202157 + 0.0541678i −0.358477 0.933539i \(-0.616704\pi\)
0.156320 + 0.987707i \(0.450037\pi\)
\(44\) 3.38018i 0.509582i
\(45\) 2.38083 + 6.27150i 0.354913 + 0.934899i
\(46\) −7.98947 4.61272i −1.17798 0.680109i
\(47\) 4.37366 4.37366i 0.637963 0.637963i −0.312089 0.950053i \(-0.601029\pi\)
0.950053 + 0.312089i \(0.101029\pi\)
\(48\) −1.73008 + 0.0825856i −0.249716 + 0.0119202i
\(49\) 10.0188 5.78437i 1.43126 0.826339i
\(50\) −3.57508 3.49554i −0.505592 0.494345i
\(51\) −0.809801 + 3.72437i −0.113395 + 0.521516i
\(52\) 1.63031 3.21591i 0.226083 0.445967i
\(53\) 1.30264 1.30264i 0.178932 0.178932i −0.611958 0.790890i \(-0.709618\pi\)
0.790890 + 0.611958i \(0.209618\pi\)
\(54\) −5.15959 0.615349i −0.702131 0.0837385i
\(55\) −1.99726 7.28966i −0.269311 0.982937i
\(56\) −3.73183 2.15457i −0.498687 0.287917i
\(57\) −5.40863 8.41417i −0.716391 1.11448i
\(58\) −0.277337 1.03504i −0.0364161 0.135907i
\(59\) −1.13299 0.654133i −0.147503 0.0851609i 0.424432 0.905460i \(-0.360474\pi\)
−0.571935 + 0.820299i \(0.693807\pi\)
\(60\) 3.68227 1.20036i 0.475379 0.154966i
\(61\) 5.42353 9.39383i 0.694412 1.20276i −0.275966 0.961167i \(-0.588998\pi\)
0.970378 0.241590i \(-0.0776688\pi\)
\(62\) 0.493278 1.84094i 0.0626463 0.233799i
\(63\) −9.97023 8.22880i −1.25613 1.03673i
\(64\) 1.00000i 0.125000i
\(65\) −1.61571 + 7.89870i −0.200404 + 0.979713i
\(66\) 5.72098 + 1.24393i 0.704203 + 0.153117i
\(67\) 1.54886 5.78042i 0.189223 0.706191i −0.804464 0.594002i \(-0.797547\pi\)
0.993687 0.112189i \(-0.0357862\pi\)
\(68\) 2.12553 + 0.569533i 0.257758 + 0.0690661i
\(69\) −10.7472 + 11.8247i −1.29381 + 1.42353i
\(70\) 9.32110 + 2.44148i 1.11408 + 0.291813i
\(71\) 3.45805 5.98951i 0.410395 0.710824i −0.584538 0.811366i \(-0.698724\pi\)
0.994933 + 0.100542i \(0.0320576\pi\)
\(72\) −0.496904 + 2.95856i −0.0585607 + 0.348670i
\(73\) 2.13050 2.13050i 0.249356 0.249356i −0.571350 0.820706i \(-0.693580\pi\)
0.820706 + 0.571350i \(0.193580\pi\)
\(74\) 3.29408 5.70551i 0.382929 0.663252i
\(75\) −7.23187 + 4.76445i −0.835065 + 0.550151i
\(76\) −5.00129 + 2.88749i −0.573687 + 0.331218i
\(77\) 10.2995 + 10.2995i 1.17374 + 1.17374i
\(78\) −4.84298 3.94278i −0.548360 0.446432i
\(79\) 9.17586i 1.03236i 0.856479 + 0.516182i \(0.172647\pi\)
−0.856479 + 0.516182i \(0.827353\pi\)
\(80\) −0.590875 2.15659i −0.0660618 0.241114i
\(81\) −2.94024 + 8.50617i −0.326694 + 0.945130i
\(82\) −1.60460 5.98845i −0.177198 0.661314i
\(83\) −10.5216 10.5216i −1.15490 1.15490i −0.985558 0.169338i \(-0.945837\pi\)
−0.169338 0.985558i \(-0.554163\pi\)
\(84\) −5.01996 + 5.52324i −0.547723 + 0.602635i
\(85\) −4.92041 + 0.0276722i −0.533693 + 0.00300147i
\(86\) 1.37240 0.147989
\(87\) −1.85386 + 0.0884944i −0.198755 + 0.00948760i
\(88\) 0.874856 3.26501i 0.0932599 0.348051i
\(89\) −15.9723 + 9.22160i −1.69306 + 0.977488i −0.741033 + 0.671469i \(0.765664\pi\)
−0.952026 + 0.306019i \(0.901003\pi\)
\(90\) −0.676522 6.67400i −0.0713117 0.703502i
\(91\) −4.83137 14.7666i −0.506465 1.54796i
\(92\) 6.52338 + 6.52338i 0.680109 + 0.680109i
\(93\) −2.93427 1.51235i −0.304269 0.156824i
\(94\) −5.35661 + 3.09264i −0.552492 + 0.318982i
\(95\) 9.07956 9.18227i 0.931544 0.942081i
\(96\) 1.69250 + 0.368006i 0.172741 + 0.0375595i
\(97\) −2.35371 + 0.630674i −0.238983 + 0.0640352i −0.376322 0.926489i \(-0.622811\pi\)
0.137340 + 0.990524i \(0.456145\pi\)
\(98\) −11.1746 + 2.99421i −1.12880 + 0.302461i
\(99\) 4.21071 9.22500i 0.423192 0.927148i
\(100\) 2.54855 + 4.30173i 0.254855 + 0.430173i
\(101\) −0.381858 + 0.220466i −0.0379962 + 0.0219371i −0.518878 0.854848i \(-0.673650\pi\)
0.480882 + 0.876786i \(0.340317\pi\)
\(102\) 1.74615 3.38787i 0.172894 0.335449i
\(103\) −0.625737 0.625737i −0.0616557 0.0616557i 0.675607 0.737262i \(-0.263882\pi\)
−0.737262 + 0.675607i \(0.763882\pi\)
\(104\) −2.40710 + 2.68438i −0.236035 + 0.263225i
\(105\) 7.56244 14.8775i 0.738019 1.45190i
\(106\) −1.59541 + 0.921108i −0.154959 + 0.0894659i
\(107\) −0.139737 + 0.521504i −0.0135089 + 0.0504157i −0.972351 0.233523i \(-0.924975\pi\)
0.958842 + 0.283939i \(0.0916412\pi\)
\(108\) 4.82451 + 1.92978i 0.464239 + 0.185693i
\(109\) 10.2607 0.982798 0.491399 0.870935i \(-0.336486\pi\)
0.491399 + 0.870935i \(0.336486\pi\)
\(110\) 0.0425071 + 7.55820i 0.00405289 + 0.720646i
\(111\) −8.44436 7.67491i −0.801503 0.728470i
\(112\) 3.04703 + 3.04703i 0.287917 + 0.287917i
\(113\) 0.779697 + 2.90987i 0.0733477 + 0.273737i 0.992854 0.119339i \(-0.0380775\pi\)
−0.919506 + 0.393076i \(0.871411\pi\)
\(114\) 3.04659 + 9.52732i 0.285340 + 0.892315i
\(115\) −17.9227 10.2137i −1.67130 0.952435i
\(116\) 1.07155i 0.0994907i
\(117\) −8.45543 + 6.74580i −0.781704 + 0.623649i
\(118\) 0.925084 + 0.925084i 0.0851609 + 0.0851609i
\(119\) 8.21192 4.74116i 0.752786 0.434621i
\(120\) −3.86748 + 0.206421i −0.353051 + 0.0188435i
\(121\) −0.212819 + 0.368614i −0.0193472 + 0.0335104i
\(122\) −7.67003 + 7.67003i −0.694412 + 0.694412i
\(123\) −10.7260 + 0.512006i −0.967129 + 0.0461660i
\(124\) −0.952939 + 1.65054i −0.0855765 + 0.148223i
\(125\) −8.03795 7.77119i −0.718936 0.695077i
\(126\) 7.50074 + 10.5289i 0.668219 + 0.937989i
\(127\) 0.328046 + 0.0878996i 0.0291094 + 0.00779983i 0.273344 0.961916i \(-0.411870\pi\)
−0.244235 + 0.969716i \(0.578537\pi\)
\(128\) 0.258819 0.965926i 0.0228766 0.0853766i
\(129\) 0.505050 2.32278i 0.0444672 0.204510i
\(130\) 3.60499 7.21138i 0.316178 0.632480i
\(131\) 13.7039i 1.19732i −0.801004 0.598659i \(-0.795700\pi\)
0.801004 0.598659i \(-0.204300\pi\)
\(132\) −5.20409 2.68224i −0.452957 0.233459i
\(133\) −6.44078 + 24.0373i −0.558487 + 2.08430i
\(134\) −2.99217 + 5.18258i −0.258484 + 0.447707i
\(135\) −11.5447 1.31106i −0.993613 0.112838i
\(136\) −1.90570 1.10025i −0.163412 0.0943460i
\(137\) 0.526934 + 1.96654i 0.0450190 + 0.168013i 0.984775 0.173832i \(-0.0556149\pi\)
−0.939756 + 0.341845i \(0.888948\pi\)
\(138\) 13.4415 8.64020i 1.14422 0.735503i
\(139\) 12.8453 + 7.41626i 1.08953 + 0.629039i 0.933451 0.358706i \(-0.116782\pi\)
0.156077 + 0.987745i \(0.450115\pi\)
\(140\) −8.37159 4.77077i −0.707528 0.403203i
\(141\) 3.26304 + 10.2042i 0.274798 + 0.859349i
\(142\) −4.89042 + 4.89042i −0.410395 + 0.410395i
\(143\) 10.2076 6.65864i 0.853605 0.556824i
\(144\) 1.24570 2.72914i 0.103809 0.227429i
\(145\) −0.633150 2.31088i −0.0525803 0.191909i
\(146\) −2.60932 + 1.50649i −0.215949 + 0.124678i
\(147\) 0.955412 + 20.0149i 0.0788011 + 1.65080i
\(148\) −4.65853 + 4.65853i −0.382929 + 0.382929i
\(149\) −14.2668 8.23697i −1.16879 0.674799i −0.215392 0.976528i \(-0.569103\pi\)
−0.953394 + 0.301729i \(0.902436\pi\)
\(150\) 8.21858 2.73036i 0.671045 0.222933i
\(151\) 1.13106i 0.0920441i −0.998940 0.0460221i \(-0.985346\pi\)
0.998940 0.0460221i \(-0.0146545\pi\)
\(152\) 5.57821 1.49468i 0.452453 0.121234i
\(153\) −5.09140 4.20212i −0.411615 0.339721i
\(154\) −7.28285 12.6143i −0.586869 1.01649i
\(155\) 1.07983 4.12260i 0.0867344 0.331135i
\(156\) 3.65749 + 5.06189i 0.292834 + 0.405276i
\(157\) 0.659053 0.659053i 0.0525982 0.0525982i −0.680318 0.732917i \(-0.738159\pi\)
0.732917 + 0.680318i \(0.238159\pi\)
\(158\) 2.37489 8.86320i 0.188936 0.705118i
\(159\) 0.971860 + 3.03920i 0.0770735 + 0.241025i
\(160\) 0.0125754 + 2.23603i 0.000994171 + 0.176774i
\(161\) 39.7538 3.13304
\(162\) 5.04162 7.45534i 0.396107 0.585747i
\(163\) 1.12837 + 4.21113i 0.0883806 + 0.329841i 0.995933 0.0900982i \(-0.0287181\pi\)
−0.907552 + 0.419939i \(0.862051\pi\)
\(164\) 6.19970i 0.484115i
\(165\) 12.8079 + 2.70952i 0.997096 + 0.210936i
\(166\) 7.43990 + 12.8863i 0.577448 + 1.00017i
\(167\) 11.8891 + 3.18568i 0.920009 + 0.246516i 0.687589 0.726100i \(-0.258669\pi\)
0.232420 + 0.972616i \(0.425336\pi\)
\(168\) 6.27843 4.03578i 0.484392 0.311367i
\(169\) −12.9231 + 1.41175i −0.994086 + 0.108597i
\(170\) 4.75991 + 1.24677i 0.365069 + 0.0956226i
\(171\) 17.2462 1.65026i 1.31885 0.126198i
\(172\) −1.32563 0.355202i −0.101078 0.0270839i
\(173\) 3.11765 + 11.6352i 0.237030 + 0.884609i 0.977223 + 0.212215i \(0.0680676\pi\)
−0.740193 + 0.672395i \(0.765266\pi\)
\(174\) 1.81360 + 0.394336i 0.137489 + 0.0298945i
\(175\) 20.8730 + 5.34201i 1.57785 + 0.403818i
\(176\) −1.69009 + 2.92732i −0.127395 + 0.220655i
\(177\) 1.90615 1.22527i 0.143275 0.0920971i
\(178\) 17.8148 4.77345i 1.33527 0.357785i
\(179\) 4.87645 + 8.44626i 0.364483 + 0.631303i 0.988693 0.149953i \(-0.0479123\pi\)
−0.624210 + 0.781257i \(0.714579\pi\)
\(180\) −1.07389 + 6.62169i −0.0800429 + 0.493552i
\(181\) 7.59744 0.564714 0.282357 0.959309i \(-0.408884\pi\)
0.282357 + 0.959309i \(0.408884\pi\)
\(182\) 0.844874 + 15.5139i 0.0626262 + 1.14996i
\(183\) 10.1589 + 15.8042i 0.750971 + 1.16828i
\(184\) −4.61272 7.98947i −0.340055 0.588992i
\(185\) 7.29392 12.7991i 0.536259 0.941011i
\(186\) 2.44286 + 2.22026i 0.179119 + 0.162798i
\(187\) 5.25955 + 5.25955i 0.384616 + 0.384616i
\(188\) 5.97452 1.60087i 0.435737 0.116755i
\(189\) 20.5805 8.82033i 1.49701 0.641585i
\(190\) −11.1467 + 6.51942i −0.808669 + 0.472969i
\(191\) −19.5144 11.2667i −1.41201 0.815226i −0.416435 0.909165i \(-0.636721\pi\)
−0.995578 + 0.0939392i \(0.970054\pi\)
\(192\) −1.53959 0.793519i −0.111110 0.0572673i
\(193\) −7.71984 2.06853i −0.555686 0.148896i −0.0299625 0.999551i \(-0.509539\pi\)
−0.525724 + 0.850655i \(0.676205\pi\)
\(194\) 2.43674 0.174947
\(195\) −10.8786 8.75529i −0.779036 0.626979i
\(196\) 11.5687 0.826339
\(197\) −6.04194 1.61893i −0.430470 0.115344i 0.0370767 0.999312i \(-0.488195\pi\)
−0.467547 + 0.883968i \(0.654862\pi\)
\(198\) −6.45484 + 7.82086i −0.458725 + 0.555804i
\(199\) −21.9713 12.6852i −1.55751 0.899227i −0.997495 0.0707433i \(-0.977463\pi\)
−0.560013 0.828484i \(-0.689204\pi\)
\(200\) −1.34834 4.81477i −0.0953417 0.340456i
\(201\) 7.67041 + 6.97148i 0.541029 + 0.491730i
\(202\) 0.425907 0.114121i 0.0299667 0.00802955i
\(203\) 3.26503 + 3.26503i 0.229160 + 0.229160i
\(204\) −2.56349 + 2.82050i −0.179480 + 0.197474i
\(205\) −3.66324 13.3702i −0.255852 0.933814i
\(206\) 0.442463 + 0.766369i 0.0308279 + 0.0533954i
\(207\) −9.67703 25.9294i −0.672600 1.80222i
\(208\) 3.01985 1.96991i 0.209389 0.136588i
\(209\) −19.5205 −1.35026
\(210\) −11.1553 + 12.4133i −0.769792 + 0.856598i
\(211\) 10.1146 + 17.5190i 0.696317 + 1.20606i 0.969735 + 0.244161i \(0.0785125\pi\)
−0.273418 + 0.961895i \(0.588154\pi\)
\(212\) 1.77944 0.476800i 0.122213 0.0327468i
\(213\) 6.47735 + 10.0768i 0.443821 + 0.690448i
\(214\) 0.269951 0.467568i 0.0184534 0.0319623i
\(215\) 3.06872 0.0172584i 0.209285 0.00117701i
\(216\) −4.16066 3.11270i −0.283097 0.211793i
\(217\) 2.12561 + 7.93287i 0.144296 + 0.538518i
\(218\) −9.91109 2.65567i −0.671264 0.179865i
\(219\) 1.58950 + 4.97068i 0.107408 + 0.335887i
\(220\) 1.91515 7.31166i 0.129119 0.492952i
\(221\) −2.46719 7.54069i −0.165961 0.507242i
\(222\) 6.17021 + 9.59895i 0.414118 + 0.644239i
\(223\) −26.7395 7.16483i −1.79061 0.479792i −0.798160 0.602446i \(-0.794193\pi\)
−0.992450 + 0.122653i \(0.960860\pi\)
\(224\) −2.15457 3.73183i −0.143958 0.249343i
\(225\) −1.59665 14.9148i −0.106444 0.994319i
\(226\) 3.01252i 0.200390i
\(227\) 2.62893 + 9.81129i 0.174488 + 0.651198i 0.996638 + 0.0819278i \(0.0261077\pi\)
−0.822150 + 0.569271i \(0.807226\pi\)
\(228\) −0.476931 9.99120i −0.0315855 0.661683i
\(229\) 12.0742 0.797883 0.398942 0.916976i \(-0.369378\pi\)
0.398942 + 0.916976i \(0.369378\pi\)
\(230\) 14.6685 + 14.5045i 0.967214 + 0.956395i
\(231\) −24.0298 + 7.68413i −1.58105 + 0.505579i
\(232\) 0.277337 1.03504i 0.0182081 0.0679534i
\(233\) 13.2383 13.2383i 0.867267 0.867267i −0.124902 0.992169i \(-0.539862\pi\)
0.992169 + 0.124902i \(0.0398616\pi\)
\(234\) 9.91326 4.32751i 0.648050 0.282898i
\(235\) −11.9387 + 6.98261i −0.778793 + 0.455495i
\(236\) −0.654133 1.13299i −0.0425805 0.0737515i
\(237\) −14.1270 7.28122i −0.917649 0.472966i
\(238\) −9.15921 + 2.45420i −0.593703 + 0.159082i
\(239\) 20.9409i 1.35456i 0.735727 + 0.677278i \(0.236841\pi\)
−0.735727 + 0.677278i \(0.763159\pi\)
\(240\) 3.78912 + 0.801590i 0.244587 + 0.0517424i
\(241\) −7.60364 4.38996i −0.489793 0.282782i 0.234695 0.972069i \(-0.424591\pi\)
−0.724489 + 0.689287i \(0.757924\pi\)
\(242\) 0.300972 0.300972i 0.0193472 0.0193472i
\(243\) −10.7629 11.2766i −0.690437 0.723392i
\(244\) 9.39383 5.42353i 0.601379 0.347206i
\(245\) −24.9490 + 6.83568i −1.59393 + 0.436716i
\(246\) 10.4930 + 2.28153i 0.669010 + 0.145465i
\(247\) 18.5719 + 9.41503i 1.18170 + 0.599064i
\(248\) 1.34766 1.34766i 0.0855765 0.0855765i
\(249\) 24.5480 7.84983i 1.55567 0.497463i
\(250\) 5.75273 + 9.58677i 0.363834 + 0.606321i
\(251\) −11.5184 6.65018i −0.727038 0.419756i 0.0902996 0.995915i \(-0.471218\pi\)
−0.817338 + 0.576159i \(0.804551\pi\)
\(252\) −4.52008 12.1115i −0.284738 0.762951i
\(253\) 8.07094 + 30.1212i 0.507416 + 1.89370i
\(254\) −0.294118 0.169809i −0.0184546 0.0106548i
\(255\) 3.86183 7.59735i 0.241837 0.475765i
\(256\) −0.500000 + 0.866025i −0.0312500 + 0.0541266i
\(257\) 5.85617 21.8555i 0.365298 1.36331i −0.501719 0.865031i \(-0.667299\pi\)
0.867017 0.498279i \(-0.166035\pi\)
\(258\) −1.08902 + 2.11292i −0.0677995 + 0.131545i
\(259\) 28.3893i 1.76403i
\(260\) −5.34859 + 6.03262i −0.331706 + 0.374127i
\(261\) 1.33483 2.92441i 0.0826240 0.181016i
\(262\) −3.54684 + 13.2370i −0.219125 + 0.817784i
\(263\) −1.04669 0.280459i −0.0645415 0.0172938i 0.226404 0.974034i \(-0.427303\pi\)
−0.290945 + 0.956740i \(0.593970\pi\)
\(264\) 4.33255 + 3.93776i 0.266650 + 0.242352i
\(265\) −3.55580 + 2.07969i −0.218431 + 0.127754i
\(266\) 12.4426 21.5513i 0.762907 1.32139i
\(267\) −1.52314 31.9082i −0.0932149 1.95275i
\(268\) 4.23156 4.23156i 0.258484 0.258484i
\(269\) −0.0522065 + 0.0904244i −0.00318309 + 0.00551327i −0.867613 0.497241i \(-0.834347\pi\)
0.864429 + 0.502754i \(0.167680\pi\)
\(270\) 10.8120 + 4.25438i 0.658000 + 0.258914i
\(271\) −6.16959 + 3.56201i −0.374776 + 0.216377i −0.675543 0.737321i \(-0.736091\pi\)
0.300767 + 0.953698i \(0.402757\pi\)
\(272\) 1.55599 + 1.55599i 0.0943460 + 0.0943460i
\(273\) 26.5682 + 4.27925i 1.60798 + 0.258992i
\(274\) 2.03592i 0.122994i
\(275\) 0.190094 + 16.8998i 0.0114631 + 1.01910i
\(276\) −15.2197 + 4.86688i −0.916120 + 0.292952i
\(277\) 1.26232 + 4.71103i 0.0758453 + 0.283058i 0.993424 0.114497i \(-0.0365255\pi\)
−0.917578 + 0.397555i \(0.869859\pi\)
\(278\) −10.4882 10.4882i −0.629039 0.629039i
\(279\) 4.65679 3.31748i 0.278795 0.198612i
\(280\) 6.85157 + 6.77493i 0.409460 + 0.404880i
\(281\) −18.1741 −1.08418 −0.542088 0.840321i \(-0.682366\pi\)
−0.542088 + 0.840321i \(0.682366\pi\)
\(282\) −0.510816 10.7010i −0.0304186 0.637238i
\(283\) 1.87627 7.00234i 0.111533 0.416246i −0.887471 0.460863i \(-0.847540\pi\)
0.999004 + 0.0446168i \(0.0142067\pi\)
\(284\) 5.98951 3.45805i 0.355412 0.205197i
\(285\) 6.93209 + 21.2651i 0.410622 + 1.25963i
\(286\) −11.5832 + 3.78982i −0.684929 + 0.224097i
\(287\) 18.8906 + 18.8906i 1.11508 + 1.11508i
\(288\) −1.90961 + 2.31374i −0.112525 + 0.136338i
\(289\) −10.5289 + 6.07888i −0.619349 + 0.357581i
\(290\) 0.0134751 + 2.39601i 0.000791286 + 0.140699i
\(291\) 0.896734 4.12419i 0.0525675 0.241764i
\(292\) 2.91032 0.779817i 0.170313 0.0456353i
\(293\) −4.88878 + 1.30994i −0.285605 + 0.0765277i −0.398778 0.917048i \(-0.630565\pi\)
0.113172 + 0.993575i \(0.463899\pi\)
\(294\) 4.25737 19.5802i 0.248295 1.14194i
\(295\) 2.08015 + 2.05689i 0.121111 + 0.119756i
\(296\) 5.70551 3.29408i 0.331626 0.191464i
\(297\) 10.8614 + 13.8030i 0.630243 + 0.800929i
\(298\) 11.6488 + 11.6488i 0.674799 + 0.674799i
\(299\) 6.84916 32.5500i 0.396097 1.88242i
\(300\) −8.64521 + 0.510198i −0.499132 + 0.0294563i
\(301\) −5.12155 + 2.95693i −0.295201 + 0.170434i
\(302\) −0.292739 + 1.09252i −0.0168452 + 0.0628673i
\(303\) −0.0364146 0.762846i −0.00209196 0.0438244i
\(304\) −5.77499 −0.331218
\(305\) −17.0540 + 17.2469i −0.976509 + 0.987554i
\(306\) 3.83032 + 5.37668i 0.218965 + 0.307365i
\(307\) −18.5415 18.5415i −1.05822 1.05822i −0.998197 0.0600209i \(-0.980883\pi\)
−0.0600209 0.998197i \(-0.519117\pi\)
\(308\) 3.76988 + 14.0694i 0.214809 + 0.801678i
\(309\) 1.45991 0.466842i 0.0830515 0.0265577i
\(310\) −2.11005 + 3.70264i −0.119843 + 0.210296i
\(311\) 22.3363i 1.26658i 0.773916 + 0.633288i \(0.218295\pi\)
−0.773916 + 0.633288i \(0.781705\pi\)
\(312\) −2.22275 5.83604i −0.125839 0.330401i
\(313\) −15.4772 15.4772i −0.874822 0.874822i 0.118171 0.992993i \(-0.462297\pi\)
−0.992993 + 0.118171i \(0.962297\pi\)
\(314\) −0.807172 + 0.466021i −0.0455514 + 0.0262991i
\(315\) 16.9043 + 23.4486i 0.952449 + 1.32118i
\(316\) −4.58793 + 7.94653i −0.258091 + 0.447027i
\(317\) −16.4099 + 16.4099i −0.921674 + 0.921674i −0.997148 0.0754737i \(-0.975953\pi\)
0.0754737 + 0.997148i \(0.475953\pi\)
\(318\) −0.152141 3.18718i −0.00853162 0.178728i
\(319\) −1.81101 + 3.13677i −0.101397 + 0.175625i
\(320\) 0.566581 2.16310i 0.0316728 0.120921i
\(321\) −0.692017 0.628960i −0.0386246 0.0351051i
\(322\) −38.3992 10.2890i −2.13991 0.573386i
\(323\) −3.28905 + 12.2749i −0.183008 + 0.682994i
\(324\) −6.79941 + 5.89644i −0.377745 + 0.327580i
\(325\) 7.97018 16.1702i 0.442106 0.896963i
\(326\) 4.35968i 0.241460i
\(327\) −8.14207 + 15.7973i −0.450258 + 0.873590i
\(328\) 1.60460 5.98845i 0.0885992 0.330657i
\(329\) 13.3266 23.0824i 0.734722 1.27258i
\(330\) −11.6702 5.93213i −0.642425 0.326553i
\(331\) −11.5104 6.64555i −0.632671 0.365273i 0.149115 0.988820i \(-0.452358\pi\)
−0.781786 + 0.623547i \(0.785691\pi\)
\(332\) −3.85117 14.3728i −0.211361 0.788809i
\(333\) 18.5169 6.91064i 1.01472 0.378701i
\(334\) −10.6595 6.15427i −0.583262 0.336746i
\(335\) −6.62541 + 11.6261i −0.361985 + 0.635199i
\(336\) −7.10904 + 2.27329i −0.387830 + 0.124018i
\(337\) 9.89913 9.89913i 0.539240 0.539240i −0.384066 0.923306i \(-0.625476\pi\)
0.923306 + 0.384066i \(0.125476\pi\)
\(338\) 12.8482 + 1.98110i 0.698848 + 0.107758i
\(339\) −5.09870 1.10862i −0.276923 0.0602122i
\(340\) −4.27503 2.43624i −0.231846 0.132124i
\(341\) −5.57913 + 3.22111i −0.302127 + 0.174433i
\(342\) −17.0857 2.86962i −0.923887 0.155171i
\(343\) 13.9211 13.9211i 0.751668 0.751668i
\(344\) 1.18853 + 0.686198i 0.0640812 + 0.0369973i
\(345\) 29.9470 19.4888i 1.61229 1.04924i
\(346\) 12.0457i 0.647579i
\(347\) −12.2788 + 3.29008i −0.659158 + 0.176621i −0.572866 0.819649i \(-0.694168\pi\)
−0.0862920 + 0.996270i \(0.527502\pi\)
\(348\) −1.64974 0.850293i −0.0884353 0.0455805i
\(349\) −9.15077 15.8496i −0.489829 0.848409i 0.510102 0.860114i \(-0.329608\pi\)
−0.999931 + 0.0117046i \(0.996274\pi\)
\(350\) −18.7791 10.5623i −1.00379 0.564579i
\(351\) −3.67620 18.3708i −0.196221 0.980560i
\(352\) 2.39015 2.39015i 0.127395 0.127395i
\(353\) −5.46118 + 20.3814i −0.290669 + 1.08479i 0.653927 + 0.756558i \(0.273121\pi\)
−0.944596 + 0.328235i \(0.893546\pi\)
\(354\) −2.15832 + 0.690175i −0.114713 + 0.0366824i
\(355\) −10.8736 + 10.9966i −0.577113 + 0.583641i
\(356\) −18.4432 −0.977488
\(357\) 0.783103 + 16.4052i 0.0414462 + 0.868253i
\(358\) −2.52424 9.42058i −0.133410 0.497893i
\(359\) 3.00211i 0.158445i −0.996857 0.0792226i \(-0.974756\pi\)
0.996857 0.0792226i \(-0.0252438\pi\)
\(360\) 2.75112 6.11812i 0.144997 0.322453i
\(361\) −7.17525 12.4279i −0.377645 0.654100i
\(362\) −7.33857 1.96636i −0.385707 0.103350i
\(363\) −0.398637 0.620156i −0.0209230 0.0325498i
\(364\) 3.19920 15.2039i 0.167683 0.796901i
\(365\) −5.81557 + 3.40137i −0.304401 + 0.178036i
\(366\) −5.72236 17.8950i −0.299113 0.935387i
\(367\) 8.41526 + 2.25486i 0.439273 + 0.117703i 0.471676 0.881772i \(-0.343649\pi\)
−0.0324027 + 0.999475i \(0.510316\pi\)
\(368\) 2.38772 + 8.91110i 0.124469 + 0.464523i
\(369\) 7.72299 16.9199i 0.402043 0.880813i
\(370\) −10.3580 + 10.4752i −0.538489 + 0.544580i
\(371\) 3.96919 6.87484i 0.206070 0.356924i
\(372\) −1.78497 2.77687i −0.0925465 0.143974i
\(373\) −15.3857 + 4.12260i −0.796644 + 0.213460i −0.634110 0.773243i \(-0.718633\pi\)
−0.162534 + 0.986703i \(0.551967\pi\)
\(374\) −3.71906 6.44160i −0.192308 0.333087i
\(375\) 18.3427 6.20852i 0.947212 0.320607i
\(376\) −6.18528 −0.318982
\(377\) 3.23591 2.11085i 0.166658 0.108714i
\(378\) −22.1621 + 3.19315i −1.13990 + 0.164238i
\(379\) 2.43890 + 4.22429i 0.125278 + 0.216987i 0.921841 0.387567i \(-0.126684\pi\)
−0.796564 + 0.604555i \(0.793351\pi\)
\(380\) 12.4543 3.41229i 0.638890 0.175047i
\(381\) −0.395640 + 0.435305i −0.0202692 + 0.0223014i
\(382\) 15.9334 + 15.9334i 0.815226 + 0.815226i
\(383\) 18.8947 5.06283i 0.965475 0.258698i 0.258559 0.965995i \(-0.416752\pi\)
0.706916 + 0.707297i \(0.250086\pi\)
\(384\) 1.28175 + 1.16496i 0.0654090 + 0.0594489i
\(385\) −16.4433 28.1143i −0.838029 1.43284i
\(386\) 6.92142 + 3.99608i 0.352291 + 0.203395i
\(387\) 3.17536 + 2.62074i 0.161413 + 0.133220i
\(388\) −2.35371 0.630674i −0.119491 0.0320176i
\(389\) 9.26171 0.469587 0.234794 0.972045i \(-0.424559\pi\)
0.234794 + 0.972045i \(0.424559\pi\)
\(390\) 8.24193 + 11.2726i 0.417346 + 0.570808i
\(391\) 20.3007 1.02665
\(392\) −11.1746 2.99421i −0.564400 0.151231i
\(393\) 21.0984 + 10.8743i 1.06427 + 0.548538i
\(394\) 5.41705 + 3.12754i 0.272907 + 0.157563i
\(395\) 5.19887 19.8483i 0.261583 0.998675i
\(396\) 8.25908 5.88373i 0.415035 0.295669i
\(397\) −18.7534 + 5.02496i −0.941207 + 0.252196i −0.696627 0.717433i \(-0.745317\pi\)
−0.244580 + 0.969629i \(0.578650\pi\)
\(398\) 17.9395 + 17.9395i 0.899227 + 0.899227i
\(399\) −31.8967 28.9902i −1.59683 1.45133i
\(400\) 0.0562379 + 4.99968i 0.00281189 + 0.249984i
\(401\) −12.8194 22.2038i −0.640170 1.10881i −0.985395 0.170287i \(-0.945531\pi\)
0.345224 0.938520i \(-0.387803\pi\)
\(402\) −5.60470 8.71918i −0.279537 0.434873i
\(403\) 6.86158 0.373677i 0.341799 0.0186142i
\(404\) −0.440931 −0.0219371
\(405\) 11.1795 16.7338i 0.555512 0.831509i
\(406\) −2.30873 3.99883i −0.114580 0.198459i
\(407\) −21.5104 + 5.76369i −1.06623 + 0.285695i
\(408\) 3.20614 2.06091i 0.158728 0.102030i
\(409\) −6.47241 + 11.2105i −0.320040 + 0.554326i −0.980496 0.196539i \(-0.937030\pi\)
0.660456 + 0.750865i \(0.270363\pi\)
\(410\) 0.0779635 + 13.8627i 0.00385034 + 0.684631i
\(411\) −3.44580 0.749230i −0.169969 0.0369568i
\(412\) −0.229036 0.854773i −0.0112838 0.0421117i
\(413\) −5.44542 1.45910i −0.267952 0.0717974i
\(414\) 2.63626 + 27.5505i 0.129565 + 1.35403i
\(415\) 16.7979 + 28.7206i 0.824577 + 1.40984i
\(416\) −3.42680 + 1.12119i −0.168013 + 0.0549708i
\(417\) −21.6110 + 13.8916i −1.05830 + 0.680273i
\(418\) 18.8554 + 5.05228i 0.922247 + 0.247115i
\(419\) 5.25335 + 9.09907i 0.256643 + 0.444519i 0.965340 0.260994i \(-0.0840502\pi\)
−0.708697 + 0.705512i \(0.750717\pi\)
\(420\) 13.9880 9.10309i 0.682546 0.444185i
\(421\) 11.9637i 0.583076i −0.956559 0.291538i \(-0.905833\pi\)
0.956559 0.291538i \(-0.0941669\pi\)
\(422\) −5.23570 19.5399i −0.254870 0.951187i
\(423\) −18.2995 3.07349i −0.889754 0.149438i
\(424\) −1.84222 −0.0894659
\(425\) 10.6590 + 2.72795i 0.517037 + 0.132325i
\(426\) −3.64858 11.4099i −0.176774 0.552810i
\(427\) 12.0976 45.1489i 0.585445 2.18491i
\(428\) −0.381768 + 0.381768i −0.0184534 + 0.0184534i
\(429\) 2.15160 + 20.9993i 0.103880 + 1.01386i
\(430\) −2.96862 0.777573i −0.143160 0.0374979i
\(431\) 7.82146 + 13.5472i 0.376746 + 0.652544i 0.990587 0.136886i \(-0.0437095\pi\)
−0.613840 + 0.789430i \(0.710376\pi\)
\(432\) 3.21326 + 4.08350i 0.154598 + 0.196467i
\(433\) −23.5253 + 6.30358i −1.13055 + 0.302931i −0.775146 0.631782i \(-0.782324\pi\)
−0.355406 + 0.934712i \(0.615657\pi\)
\(434\) 8.21271i 0.394223i
\(435\) 4.06022 + 0.858942i 0.194673 + 0.0411831i
\(436\) 8.88604 + 5.13036i 0.425564 + 0.245700i
\(437\) −37.6724 + 37.6724i −1.80212 + 1.80212i
\(438\) −0.248829 5.21270i −0.0118895 0.249072i
\(439\) 4.78870 2.76476i 0.228552 0.131955i −0.381352 0.924430i \(-0.624541\pi\)
0.609904 + 0.792475i \(0.291208\pi\)
\(440\) −3.74229 + 6.56685i −0.178407 + 0.313062i
\(441\) −31.5728 14.4112i −1.50346 0.686249i
\(442\) 0.431443 + 7.92231i 0.0205217 + 0.376826i
\(443\) 13.4799 13.4799i 0.640450 0.640450i −0.310216 0.950666i \(-0.600402\pi\)
0.950666 + 0.310216i \(0.100402\pi\)
\(444\) −3.47558 10.8688i −0.164944 0.515813i
\(445\) 39.7744 10.8976i 1.88549 0.516597i
\(446\) 23.9740 + 13.8414i 1.13520 + 0.655409i
\(447\) 24.0025 15.4289i 1.13528 0.729760i
\(448\) 1.11529 + 4.16232i 0.0526925 + 0.196651i
\(449\) 16.2033 + 9.35496i 0.764679 + 0.441488i 0.830973 0.556312i \(-0.187784\pi\)
−0.0662939 + 0.997800i \(0.521117\pi\)
\(450\) −2.31798 + 14.8198i −0.109271 + 0.698613i
\(451\) −10.4781 + 18.1485i −0.493392 + 0.854581i
\(452\) −0.779697 + 2.90987i −0.0366738 + 0.136869i
\(453\) 1.74136 + 0.897516i 0.0818163 + 0.0421690i
\(454\) 10.1574i 0.476710i
\(455\) 2.08426 + 34.6789i 0.0977115 + 1.62577i
\(456\) −2.12523 + 9.77419i −0.0995231 + 0.457719i
\(457\) −4.07178 + 15.1961i −0.190470 + 0.710843i 0.802923 + 0.596082i \(0.203277\pi\)
−0.993393 + 0.114761i \(0.963390\pi\)
\(458\) −11.6627 3.12502i −0.544964 0.146023i
\(459\) 10.5096 4.50419i 0.490548 0.210237i
\(460\) −10.4147 17.8067i −0.485587 0.830242i
\(461\) −5.65705 + 9.79830i −0.263475 + 0.456352i −0.967163 0.254157i \(-0.918202\pi\)
0.703688 + 0.710509i \(0.251535\pi\)
\(462\) 25.1998 1.20292i 1.17240 0.0559648i
\(463\) 14.9083 14.9083i 0.692848 0.692848i −0.270009 0.962858i \(-0.587027\pi\)
0.962858 + 0.270009i \(0.0870268\pi\)
\(464\) −0.535774 + 0.927987i −0.0248727 + 0.0430807i
\(465\) 5.49023 + 4.93386i 0.254603 + 0.228802i
\(466\) −16.2135 + 9.36086i −0.751076 + 0.433634i
\(467\) 6.70377 + 6.70377i 0.310213 + 0.310213i 0.844992 0.534779i \(-0.179605\pi\)
−0.534779 + 0.844992i \(0.679605\pi\)
\(468\) −10.6955 + 1.61432i −0.494400 + 0.0746219i
\(469\) 25.7874i 1.19075i
\(470\) 13.3391 3.65473i 0.615287 0.168580i
\(471\) 0.491698 + 1.53764i 0.0226563 + 0.0708508i
\(472\) 0.338604 + 1.26369i 0.0155855 + 0.0581660i
\(473\) −3.28023 3.28023i −0.150825 0.150825i
\(474\) 11.7611 + 10.6895i 0.540207 + 0.490983i
\(475\) −24.8425 + 14.7178i −1.13985 + 0.675300i
\(476\) 9.48231 0.434621
\(477\) −5.45031 0.915404i −0.249552 0.0419135i
\(478\) 5.41991 20.2274i 0.247901 0.925179i
\(479\) 24.6721 14.2444i 1.12730 0.650845i 0.184043 0.982918i \(-0.441081\pi\)
0.943254 + 0.332073i \(0.107748\pi\)
\(480\) −3.45254 1.75497i −0.157586 0.0801032i
\(481\) 23.2449 + 4.89118i 1.05988 + 0.223019i
\(482\) 6.20834 + 6.20834i 0.282782 + 0.282782i
\(483\) −31.5454 + 61.2044i −1.43537 + 2.78490i
\(484\) −0.368614 + 0.212819i −0.0167552 + 0.00967361i
\(485\) 5.44862 0.0306429i 0.247409 0.00139142i
\(486\) 7.47753 + 13.6780i 0.339187 + 0.620445i
\(487\) −8.84769 + 2.37073i −0.400927 + 0.107428i −0.453648 0.891181i \(-0.649877\pi\)
0.0527203 + 0.998609i \(0.483211\pi\)
\(488\) −10.4775 + 2.80743i −0.474292 + 0.127086i
\(489\) −7.37878 1.60439i −0.333680 0.0725530i
\(490\) 25.8681 0.145481i 1.16860 0.00657218i
\(491\) 25.8849 14.9447i 1.16817 0.674443i 0.214921 0.976631i \(-0.431050\pi\)
0.953248 + 0.302188i \(0.0977171\pi\)
\(492\) −9.54497 4.91958i −0.430321 0.221792i
\(493\) 1.66732 + 1.66732i 0.0750924 + 0.0750924i
\(494\) −15.5022 13.9010i −0.697479 0.625434i
\(495\) −14.3349 + 17.5689i −0.644305 + 0.789662i
\(496\) −1.65054 + 0.952939i −0.0741114 + 0.0427882i
\(497\) 7.71345 28.7870i 0.345995 1.29127i
\(498\) −25.7433 + 1.22886i −1.15358 + 0.0550664i
\(499\) 20.4195 0.914102 0.457051 0.889440i \(-0.348906\pi\)
0.457051 + 0.889440i \(0.348906\pi\)
\(500\) −3.07547 10.7490i −0.137539 0.480711i
\(501\) −14.3389 + 15.7764i −0.640614 + 0.704840i
\(502\) 9.40477 + 9.40477i 0.419756 + 0.419756i
\(503\) −6.15483 22.9701i −0.274430 1.02419i −0.956222 0.292641i \(-0.905466\pi\)
0.681792 0.731546i \(-0.261201\pi\)
\(504\) 1.23138 + 12.8687i 0.0548500 + 0.573216i
\(505\) 0.950906 0.260535i 0.0423148 0.0115937i
\(506\) 31.1837i 1.38628i
\(507\) 8.08122 21.0165i 0.358900 0.933376i
\(508\) 0.240146 + 0.240146i 0.0106548 + 0.0106548i
\(509\) 11.0516 6.38062i 0.489852 0.282816i −0.234661 0.972077i \(-0.575398\pi\)
0.724513 + 0.689261i \(0.242065\pi\)
\(510\) −5.69658 + 6.33896i −0.252249 + 0.280694i
\(511\) 6.49169 11.2439i 0.287175 0.497402i
\(512\) 0.707107 0.707107i 0.0312500 0.0312500i
\(513\) −11.1445 + 27.8615i −0.492040 + 1.23012i
\(514\) −11.3133 + 19.5951i −0.499006 + 0.864304i
\(515\) 0.999000 + 1.70806i 0.0440212 + 0.0752662i
\(516\) 1.59878 1.75907i 0.0703823 0.0774385i
\(517\) 20.1950 + 5.41123i 0.888175 + 0.237986i
\(518\) 7.34770 27.4220i 0.322839 1.20485i
\(519\) −20.3873 4.43288i −0.894905 0.194582i
\(520\) 6.72770 4.44275i 0.295029 0.194827i
\(521\) 13.2838i 0.581975i 0.956727 + 0.290988i \(0.0939838\pi\)
−0.956727 + 0.290988i \(0.906016\pi\)
\(522\) −2.04624 + 2.47928i −0.0895615 + 0.108515i
\(523\) 8.85892 33.0619i 0.387374 1.44570i −0.447018 0.894525i \(-0.647514\pi\)
0.834391 0.551173i \(-0.185819\pi\)
\(524\) 6.85197 11.8680i 0.299330 0.518454i
\(525\) −24.7876 + 27.8968i −1.08182 + 1.21752i
\(526\) 0.938434 + 0.541805i 0.0409177 + 0.0236238i
\(527\) 1.08546 + 4.05100i 0.0472834 + 0.176464i
\(528\) −3.16575 4.92493i −0.137772 0.214330i
\(529\) 53.7879 + 31.0545i 2.33860 + 1.35019i
\(530\) 3.97290 1.08852i 0.172572 0.0472822i
\(531\) 0.373850 + 3.90695i 0.0162237 + 0.169547i
\(532\) −17.5965 + 17.5965i −0.762907 + 0.762907i
\(533\) 18.7221 12.2128i 0.810946 0.528996i
\(534\) −6.78721 + 31.2152i −0.293711 + 1.35081i
\(535\) 0.597738 1.04889i 0.0258425 0.0453476i
\(536\) −5.18258 + 2.99217i −0.223854 + 0.129242i
\(537\) −16.8733 + 0.805450i −0.728137 + 0.0347577i
\(538\) 0.0738312 0.0738312i 0.00318309 0.00318309i
\(539\) 33.8655 + 19.5522i 1.45869 + 0.842175i
\(540\) −9.34251 6.90778i −0.402038 0.297264i
\(541\) 42.2101i 1.81476i 0.420316 + 0.907378i \(0.361919\pi\)
−0.420316 + 0.907378i \(0.638081\pi\)
\(542\) 6.88128 1.84383i 0.295576 0.0791994i
\(543\) −6.02872 + 11.6969i −0.258717 + 0.501963i
\(544\) −1.10025 1.90570i −0.0471730 0.0817060i
\(545\) −22.1949 5.81353i −0.950726 0.249024i
\(546\) −24.5554 11.0098i −1.05087 0.471175i
\(547\) 17.5451 17.5451i 0.750173 0.750173i −0.224338 0.974511i \(-0.572022\pi\)
0.974511 + 0.224338i \(0.0720220\pi\)
\(548\) −0.526934 + 1.96654i −0.0225095 + 0.0840066i
\(549\) −32.3932 + 3.09965i −1.38251 + 0.132290i
\(550\) 4.19039 16.3732i 0.178679 0.698156i
\(551\) −6.18817 −0.263625
\(552\) 15.9608 0.761890i 0.679336 0.0324282i
\(553\) 10.2337 + 38.1928i 0.435183 + 1.62412i
\(554\) 4.87722i 0.207213i
\(555\) 13.9175 + 21.3860i 0.590765 + 0.907784i
\(556\) 7.41626 + 12.8453i 0.314520 + 0.544764i
\(557\) 24.8201 + 6.65053i 1.05166 + 0.281792i 0.742938 0.669360i \(-0.233432\pi\)
0.308723 + 0.951152i \(0.400098\pi\)
\(558\) −5.35674 + 1.99917i −0.226769 + 0.0846316i
\(559\) 1.53871 + 4.70292i 0.0650807 + 0.198912i
\(560\) −4.86463 8.31740i −0.205568 0.351474i
\(561\) −12.2711 + 3.92398i −0.518085 + 0.165670i
\(562\) 17.5548 + 4.70381i 0.740507 + 0.198418i
\(563\) 2.23973 + 8.35880i 0.0943935 + 0.352281i 0.996927 0.0783387i \(-0.0249616\pi\)
−0.902533 + 0.430620i \(0.858295\pi\)
\(564\) −2.27622 + 10.4686i −0.0958463 + 0.440808i
\(565\) −0.0378835 6.73608i −0.00159377 0.283389i
\(566\) −3.62468 + 6.27813i −0.152357 + 0.263889i
\(567\) −2.75138 + 38.6846i −0.115547 + 1.62460i
\(568\) −6.68043 + 1.79002i −0.280305 + 0.0751074i
\(569\) −17.5904 30.4675i −0.737428 1.27726i −0.953650 0.300918i \(-0.902707\pi\)
0.216222 0.976344i \(-0.430626\pi\)
\(570\) −1.19208 22.3346i −0.0499306 0.935495i
\(571\) 1.84208 0.0770886 0.0385443 0.999257i \(-0.487728\pi\)
0.0385443 + 0.999257i \(0.487728\pi\)
\(572\) 12.1694 0.662737i 0.508828 0.0277104i
\(573\) 32.8310 21.1038i 1.37154 0.881625i
\(574\) −13.3577 23.1362i −0.557540 0.965687i
\(575\) 32.9817 + 32.2480i 1.37543 + 1.34483i
\(576\) 2.44338 1.74065i 0.101808 0.0725273i
\(577\) −20.6516 20.6516i −0.859737 0.859737i 0.131570 0.991307i \(-0.457998\pi\)
−0.991307 + 0.131570i \(0.957998\pi\)
\(578\) 11.7435 3.14666i 0.488465 0.130884i
\(579\) 9.31052 10.2440i 0.386932 0.425724i
\(580\) 0.607118 2.31786i 0.0252092 0.0962439i
\(581\) −55.5289 32.0596i −2.30373 1.33006i
\(582\) −1.93360 + 3.75157i −0.0801502 + 0.155507i
\(583\) 6.01485 + 1.61167i 0.249109 + 0.0667487i
\(584\) −3.01298 −0.124678
\(585\) 22.1119 9.80112i 0.914216 0.405227i
\(586\) 5.06123 0.209078
\(587\) −30.5412 8.18350i −1.26057 0.337769i −0.434160 0.900836i \(-0.642955\pi\)
−0.826412 + 0.563066i \(0.809622\pi\)
\(588\) −9.18002 + 17.8111i −0.378578 + 0.734517i
\(589\) −9.53185 5.50321i −0.392753 0.226756i
\(590\) −1.47691 2.52518i −0.0608035 0.103960i
\(591\) 7.28688 8.01743i 0.299742 0.329793i
\(592\) −6.36367 + 1.70514i −0.261545 + 0.0700808i
\(593\) −23.6436 23.6436i −0.970925 0.970925i 0.0286637 0.999589i \(-0.490875\pi\)
−0.999589 + 0.0286637i \(0.990875\pi\)
\(594\) −6.91885 16.1438i −0.283884 0.662388i
\(595\) −20.4494 + 5.60286i −0.838345 + 0.229695i
\(596\) −8.23697 14.2668i −0.337399 0.584393i
\(597\) 36.9646 23.7609i 1.51286 0.972468i
\(598\) −15.0403 + 29.6682i −0.615046 + 1.21322i
\(599\) −43.3969 −1.77315 −0.886575 0.462584i \(-0.846922\pi\)
−0.886575 + 0.462584i \(0.846922\pi\)
\(600\) 8.48268 + 1.74473i 0.346304 + 0.0712284i
\(601\) 7.30029 + 12.6445i 0.297785 + 0.515779i 0.975629 0.219427i \(-0.0704188\pi\)
−0.677844 + 0.735206i \(0.737085\pi\)
\(602\) 5.71234 1.53062i 0.232818 0.0623833i
\(603\) −16.8198 + 6.27726i −0.684956 + 0.255630i
\(604\) 0.565529 0.979524i 0.0230110 0.0398563i
\(605\) 0.669199 0.676768i 0.0272068 0.0275146i
\(606\) −0.162265 + 0.746278i −0.00659158 + 0.0303155i
\(607\) 5.69823 + 21.2661i 0.231284 + 0.863164i 0.979789 + 0.200035i \(0.0641055\pi\)
−0.748505 + 0.663130i \(0.769228\pi\)
\(608\) 5.57821 + 1.49468i 0.226226 + 0.0606172i
\(609\) −7.61767 + 2.43594i −0.308683 + 0.0987091i
\(610\) 20.9367 12.2453i 0.847703 0.495799i
\(611\) −16.6036 14.8886i −0.671711 0.602328i
\(612\) −2.30822 6.18484i −0.0933043 0.250007i
\(613\) 26.6408 + 7.13839i 1.07601 + 0.288317i 0.752962 0.658064i \(-0.228625\pi\)
0.323052 + 0.946381i \(0.395291\pi\)
\(614\) 13.1108 + 22.7086i 0.529109 + 0.916444i
\(615\) 23.4914 + 4.96962i 0.947265 + 0.200394i
\(616\) 14.5657i 0.586869i
\(617\) −4.33801 16.1897i −0.174642 0.651772i −0.996612 0.0822418i \(-0.973792\pi\)
0.821971 0.569530i \(-0.192875\pi\)
\(618\) −1.53099 + 0.0730822i −0.0615856 + 0.00293980i
\(619\) 4.76038 0.191336 0.0956679 0.995413i \(-0.469501\pi\)
0.0956679 + 0.995413i \(0.469501\pi\)
\(620\) 2.99646 3.03036i 0.120341 0.121702i
\(621\) 47.5995 + 5.67688i 1.91010 + 0.227805i
\(622\) 5.78106 21.5752i 0.231799 0.865087i
\(623\) −56.1969 + 56.1969i −2.25148 + 2.25148i
\(624\) 0.636535 + 6.21247i 0.0254818 + 0.248698i
\(625\) 12.9838 + 21.3640i 0.519354 + 0.854559i
\(626\) 10.9440 + 18.9556i 0.437411 + 0.757618i
\(627\) 15.4899 30.0535i 0.618607 1.20022i
\(628\) 0.900284 0.241230i 0.0359252 0.00962614i
\(629\) 14.4973i 0.578045i
\(630\) −10.2593 27.0248i −0.408742 1.07669i
\(631\) −5.57619 3.21941i −0.221985 0.128163i 0.384884 0.922965i \(-0.374241\pi\)
−0.606869 + 0.794802i \(0.707575\pi\)
\(632\) 6.48831 6.48831i 0.258091 0.258091i
\(633\) −34.9981 + 1.67064i −1.39105 + 0.0664019i
\(634\) 20.0980 11.6036i 0.798193 0.460837i
\(635\) −0.659793 0.376000i −0.0261831 0.0149211i
\(636\) −0.677947 + 3.11796i −0.0268823 + 0.123635i
\(637\) −22.7893 34.9358i −0.902946 1.38421i
\(638\) 2.56116 2.56116i 0.101397 0.101397i
\(639\) −20.6539 + 1.97634i −0.817057 + 0.0781828i
\(640\) −1.10713 + 1.94275i −0.0437630 + 0.0767939i
\(641\) 25.0624 + 14.4698i 0.989904 + 0.571522i 0.905246 0.424888i \(-0.139687\pi\)
0.0846586 + 0.996410i \(0.473020\pi\)
\(642\) 0.505651 + 0.786636i 0.0199564 + 0.0310461i
\(643\) −10.3484 38.6207i −0.408101 1.52305i −0.798264 0.602307i \(-0.794248\pi\)
0.390163 0.920746i \(-0.372418\pi\)
\(644\) 34.4278 + 19.8769i 1.35665 + 0.783260i
\(645\) −2.40852 + 4.73826i −0.0948353 + 0.186569i
\(646\) 6.35395 11.0054i 0.249993 0.433001i
\(647\) 3.58467 13.3782i 0.140928 0.525951i −0.858975 0.512018i \(-0.828898\pi\)
0.999903 0.0139329i \(-0.00443512\pi\)
\(648\) 8.09384 3.93571i 0.317956 0.154609i
\(649\) 4.42218i 0.173586i
\(650\) −11.8838 + 13.5564i −0.466120 + 0.531726i
\(651\) −13.9000 3.02233i −0.544786 0.118454i
\(652\) −1.12837 + 4.21113i −0.0441903 + 0.164920i
\(653\) −45.0982 12.0840i −1.76483 0.472884i −0.777141 0.629327i \(-0.783331\pi\)
−0.987687 + 0.156442i \(0.949997\pi\)
\(654\) 11.9533 13.1517i 0.467410 0.514271i
\(655\) −7.76439 + 29.6429i −0.303380 + 1.15825i
\(656\) −3.09985 + 5.36910i −0.121029 + 0.209628i
\(657\) −8.91409 1.49716i −0.347772 0.0584099i
\(658\) −18.8467 + 18.8467i −0.734722 + 0.734722i
\(659\) −2.76620 + 4.79120i −0.107756 + 0.186639i −0.914861 0.403769i \(-0.867700\pi\)
0.807105 + 0.590408i \(0.201033\pi\)
\(660\) 9.73723 + 8.75048i 0.379021 + 0.340612i
\(661\) −5.48701 + 3.16793i −0.213420 + 0.123218i −0.602900 0.797817i \(-0.705988\pi\)
0.389480 + 0.921035i \(0.372655\pi\)
\(662\) 9.39823 + 9.39823i 0.365273 + 0.365273i
\(663\) 13.5673 + 2.18524i 0.526911 + 0.0848676i
\(664\) 14.8798i 0.577448i
\(665\) 27.5511 48.3458i 1.06839 1.87477i
\(666\) −19.6746 + 1.88263i −0.762375 + 0.0729504i
\(667\) 2.55856 + 9.54866i 0.0990677 + 0.369726i
\(668\) 8.70345 + 8.70345i 0.336746 + 0.336746i
\(669\) 32.2492 35.4824i 1.24683 1.37183i
\(670\) 9.40870 9.51512i 0.363490 0.367601i
\(671\) 36.6651 1.41544
\(672\) 7.45517 0.355874i 0.287590 0.0137281i
\(673\) 1.76732 6.59574i 0.0681254 0.254247i −0.923461 0.383691i \(-0.874653\pi\)
0.991587 + 0.129444i \(0.0413193\pi\)
\(674\) −12.1239 + 6.99974i −0.466995 + 0.269620i
\(675\) 24.2296 + 9.37698i 0.932597 + 0.360920i
\(676\) −11.8976 5.23894i −0.457601 0.201498i
\(677\) 12.6853 + 12.6853i 0.487537 + 0.487537i 0.907528 0.419991i \(-0.137967\pi\)
−0.419991 + 0.907528i \(0.637967\pi\)
\(678\) 4.63803 + 2.39049i 0.178122 + 0.0918062i
\(679\) −9.09349 + 5.25013i −0.348976 + 0.201481i
\(680\) 3.49882 + 3.45969i 0.134174 + 0.132673i
\(681\) −17.1914 3.73799i −0.658778 0.143240i
\(682\) 6.22271 1.66737i 0.238280 0.0638469i
\(683\) 30.7026 8.22675i 1.17480 0.314788i 0.381940 0.924187i \(-0.375256\pi\)
0.792864 + 0.609399i \(0.208589\pi\)
\(684\) 15.7608 + 7.19393i 0.602628 + 0.275067i
\(685\) −0.0256024 4.55237i −0.000978217 0.173937i
\(686\) −17.0498 + 9.84370i −0.650964 + 0.375834i
\(687\) −9.58108 + 18.5892i −0.365541 + 0.709223i
\(688\) −0.970430 0.970430i −0.0369973 0.0369973i
\(689\) −4.94520 4.43439i −0.188397 0.168937i
\(690\) −33.9706 + 11.0739i −1.29324 + 0.421576i
\(691\) 31.3707 18.1119i 1.19340 0.689009i 0.234323 0.972159i \(-0.424713\pi\)
0.959076 + 0.283150i \(0.0913793\pi\)
\(692\) −3.11765 + 11.6352i −0.118515 + 0.442305i
\(693\) 7.23776 43.0935i 0.274940 1.63699i
\(694\) 12.7119 0.482537
\(695\) −23.5838 23.3200i −0.894585 0.884579i
\(696\) 1.37345 + 1.24830i 0.0520606 + 0.0473169i
\(697\) 9.64669 + 9.64669i 0.365395 + 0.365395i
\(698\) 4.73679 + 17.6779i 0.179290 + 0.669119i
\(699\) 9.87664 + 30.8863i 0.373569 + 1.16823i
\(700\) 15.4055 + 15.0628i 0.582274 + 0.569321i
\(701\) 2.21073i 0.0834982i 0.999128 + 0.0417491i \(0.0132930\pi\)
−0.999128 + 0.0417491i \(0.986707\pi\)
\(702\) −1.20378 + 18.6963i −0.0454336 + 0.705646i
\(703\) −26.9030 26.9030i −1.01466 1.01466i
\(704\) −2.92732 + 1.69009i −0.110328 + 0.0636977i
\(705\) −1.27677 23.9214i −0.0480859 0.900934i
\(706\) 10.5502 18.2735i 0.397062 0.687731i
\(707\) −1.34353 + 1.34353i −0.0505286 + 0.0505286i
\(708\) 2.26341 0.108044i 0.0850640 0.00406054i
\(709\) −6.71530 + 11.6312i −0.252198 + 0.436820i −0.964131 0.265428i \(-0.914487\pi\)
0.711933 + 0.702248i \(0.247820\pi\)
\(710\) 13.3493 7.80763i 0.500989 0.293015i
\(711\) 22.4201 15.9720i 0.840821 0.598997i
\(712\) 17.8148 + 4.77345i 0.667636 + 0.178893i
\(713\) −4.55071 + 16.9835i −0.170425 + 0.636036i
\(714\) 3.48955 16.0489i 0.130593 0.600613i
\(715\) −25.8528 + 8.61983i −0.966838 + 0.322364i
\(716\) 9.75290i 0.364483i
\(717\) −32.2404 16.6170i −1.20404 0.620575i
\(718\) −0.777003 + 2.89981i −0.0289975 + 0.108220i
\(719\) −6.36901 + 11.0314i −0.237524 + 0.411403i −0.960003 0.279989i \(-0.909669\pi\)
0.722479 + 0.691393i \(0.243002\pi\)
\(720\) −4.24086 + 5.19761i −0.158047 + 0.193703i
\(721\) −3.30240 1.90664i −0.122988 0.0710069i
\(722\) 3.71418 + 13.8615i 0.138228 + 0.515872i
\(723\) 12.7924 8.22294i 0.475753 0.305814i
\(724\) 6.57958 + 3.79872i 0.244528 + 0.141178i
\(725\) 0.0602616 + 5.35740i 0.00223806 + 0.198969i
\(726\) 0.224546 + 0.702200i 0.00833367 + 0.0260611i
\(727\) −5.29473 + 5.29473i −0.196371 + 0.196371i −0.798442 0.602072i \(-0.794342\pi\)
0.602072 + 0.798442i \(0.294342\pi\)
\(728\) −7.02525 + 13.8578i −0.260373 + 0.513606i
\(729\) 25.9018 7.62217i 0.959325 0.282303i
\(730\) 6.49775 1.78029i 0.240493 0.0658916i
\(731\) −2.61537 + 1.50998i −0.0967329 + 0.0558487i
\(732\) 0.895812 + 18.7663i 0.0331102 + 0.693622i
\(733\) 18.6037 18.6037i 0.687144 0.687144i −0.274456 0.961600i \(-0.588498\pi\)
0.961600 + 0.274456i \(0.0884978\pi\)
\(734\) −7.54492 4.35606i −0.278488 0.160785i
\(735\) 9.27339 43.8354i 0.342054 1.61689i
\(736\) 9.22545i 0.340055i
\(737\) 19.5389 5.23543i 0.719724 0.192849i
\(738\) −11.8390 + 14.3445i −0.435800 + 0.528027i
\(739\) 17.5009 + 30.3124i 0.643781 + 1.11506i 0.984582 + 0.174925i \(0.0559684\pi\)
−0.340801 + 0.940135i \(0.610698\pi\)
\(740\) 12.7163 7.43742i 0.467460 0.273405i
\(741\) −29.2324 + 21.1220i −1.07388 + 0.775935i
\(742\) −5.61328 + 5.61328i −0.206070 + 0.206070i
\(743\) 3.69143 13.7766i 0.135426 0.505415i −0.864570 0.502512i \(-0.832409\pi\)
0.999996 0.00290301i \(-0.000924057\pi\)
\(744\) 1.00545 + 3.14423i 0.0368614 + 0.115273i
\(745\) 26.1937 + 25.9007i 0.959661 + 0.948927i
\(746\) 15.9285 0.583184
\(747\) −7.39383 + 44.0228i −0.270526 + 1.61071i
\(748\) 1.92513 + 7.18467i 0.0703896 + 0.262698i
\(749\) 2.32651i 0.0850089i
\(750\) −19.3246 + 1.24954i −0.705633 + 0.0456266i
\(751\) 0.683895 + 1.18454i 0.0249557 + 0.0432245i 0.878234 0.478232i \(-0.158722\pi\)
−0.853278 + 0.521457i \(0.825389\pi\)
\(752\) 5.97452 + 1.60087i 0.217868 + 0.0583777i
\(753\) 19.3786 12.4566i 0.706197 0.453944i
\(754\) −3.67197 + 1.20141i −0.133725 + 0.0437527i
\(755\) −0.640835 + 2.44659i −0.0233224 + 0.0890404i
\(756\) 22.2334 + 2.65163i 0.808622 + 0.0964389i
\(757\) −27.2218 7.29405i −0.989392 0.265107i −0.272397 0.962185i \(-0.587816\pi\)
−0.716995 + 0.697078i \(0.754483\pi\)
\(758\) −1.26247 4.71159i −0.0458548 0.171133i
\(759\) −52.7786 11.4758i −1.91574 0.416545i
\(760\) −12.9131 + 0.0726227i −0.468406 + 0.00263430i
\(761\) 10.5572 18.2857i 0.382700 0.662855i −0.608747 0.793364i \(-0.708328\pi\)
0.991447 + 0.130509i \(0.0416611\pi\)
\(762\) 0.494824 0.318073i 0.0179256 0.0115226i
\(763\) 42.7083 11.4437i 1.54615 0.414288i
\(764\) −11.2667 19.5144i −0.407613 0.706007i
\(765\) 8.63234 + 11.9743i 0.312103 + 0.432931i
\(766\) −19.5613 −0.706777
\(767\) −2.13288 + 4.20727i −0.0770139 + 0.151916i
\(768\) −0.936562 1.45700i −0.0337953 0.0525750i
\(769\) −12.3724 21.4296i −0.446160 0.772773i 0.551972 0.833863i \(-0.313876\pi\)
−0.998132 + 0.0610902i \(0.980542\pi\)
\(770\) 8.60651 + 31.4122i 0.310157 + 1.13202i
\(771\) 29.0015 + 26.3589i 1.04446 + 0.949291i
\(772\) −5.65132 5.65132i −0.203395 0.203395i
\(773\) 9.77510 2.61923i 0.351586